{Knot[3, 1] -> 2*a^2 - a^4 + a^2*z^2, Knot[4, 1] -> -1 + a^(-2) + a^2 - z^2, 
 Knot[5, 1] -> 3*a^4 - 2*a^6 + 4*a^4*z^2 - a^6*z^2 + a^4*z^4, 
 Knot[5, 2] -> a^2 + a^4 - a^6 + a^2*z^2 + a^4*z^2, 
 Knot[6, 1] -> a^(-2) - a^2 + a^4 - z^2 - a^2*z^2, 
 Knot[6, 2] -> 2 - 2*a^2 + a^4 + z^2 - 3*a^2*z^2 + a^4*z^2 - a^2*z^4, 
 Knot[6, 3] -> 3 - a^(-2) - a^2 + 3*z^2 - z^2/a^2 - a^2*z^2 + z^4, 
 Knot[7, 1] -> 4*a^6 - 3*a^8 + 10*a^6*z^2 - 4*a^8*z^2 + 6*a^6*z^4 - a^8*z^4 + 
   a^6*z^6, Knot[7, 2] -> a^2 + a^6 - a^8 + a^2*z^2 + a^4*z^2 + a^6*z^2, 
 Knot[7, 3] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^6 + z^4/a^4, 
 Knot[7, 4] -> -a^(-8) + 2/a^4 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2, 
 Knot[7, 5] -> 2*a^4 - a^8 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^4*z^4 + 
   a^6*z^4, Knot[7, 6] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^2*z^4, Knot[7, 7] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + z^4, Knot[8, 1] -> a^(-2) - a^4 + a^6 - z^2 - 
   a^2*z^2 - a^4*z^2, Knot[8, 2] -> 3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[8, 3] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^2 - a^2*z^2, 
 Knot[8, 4] -> -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 - a^2*z^4, Knot[8, 5] -> 2/a^6 - 5/a^4 + 4/a^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[8, 6] -> 2 - a^2 - a^4 + a^6 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   a^2*z^4 - a^4*z^4, Knot[8, 7] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[8, 8] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^2, Knot[8, 9] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + z^4/a^2 + a^2*z^4 - z^6, 
 Knot[8, 10] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   z^4 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[8, 11] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   a^2*z^4 - a^4*z^4, Knot[8, 12] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + z^4, Knot[8, 13] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^2, 
 Knot[8, 14] -> 1 + z^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - a^2*z^4 - a^4*z^4, 
 Knot[8, 15] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 + a^4*z^4 + 2*a^6*z^4, Knot[8, 16] -> 
  2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 - z^4 + 4*a^2*z^4 - a^4*z^4 + 
   a^2*z^6, Knot[8, 17] -> -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 + z^4/a^2 + a^2*z^4 - z^6, 
 Knot[8, 18] -> 3 - a^(-2) - a^2 - z^2 + z^2/a^2 + a^2*z^2 - 3*z^4 + 
   z^4/a^2 + a^2*z^4 - z^6, Knot[8, 19] -> a^(-10) - 5/a^8 + 5/a^6 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^8 + (6*z^4)/a^6 + z^6/a^6, 
 Knot[8, 20] -> -1 + 4*a^2 - 2*a^4 - z^2 + 4*a^2*z^2 - a^4*z^2 + a^2*z^4, 
 Knot[8, 21] -> 3*a^2 - 3*a^4 + a^6 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   a^4*z^4, Knot[9, 1] -> 5*a^8 - 4*a^10 + 20*a^8*z^2 - 10*a^10*z^2 + 
   21*a^8*z^4 - 6*a^10*z^4 + 8*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[9, 2] -> a^2 + a^8 - a^10 + a^2*z^2 + a^4*z^2 + a^6*z^2 + a^8*z^2, 
 Knot[9, 3] -> -3/a^10 + 3/a^8 + a^(-6) - (4*z^2)/a^10 + (7*z^2)/a^8 + 
   (6*z^2)/a^6 - z^4/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[9, 4] -> a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 
   a^10*z^2 + a^4*z^4 + a^6*z^4 + a^8*z^4, 
 Knot[9, 5] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2, Knot[9, 6] -> 3*a^6 - a^8 - a^10 + 7*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[9, 7] -> 2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + a^4*z^4 + a^6*z^4 + a^8*z^4, 
 Knot[9, 8] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 - z^4 - a^2*z^4, Knot[9, 9] -> 2*a^6 + a^8 - 2*a^10 + 
   7*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[9, 10] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[9, 11] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[9, 12] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   a^2*z^4 - a^4*z^4, Knot[9, 13] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[9, 14] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + z^4 + z^4/a^2, Knot[9, 15] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + z^2 + (2*z^2)/a^6 - z^2/a^2 - z^4/a^4 - z^4/a^2, 
 Knot[9, 16] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 + (8*z^2)/a^6 - z^4/a^10 + 
   (3*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[9, 17] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[9, 18] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 
   a^10*z^2 + a^4*z^4 + 2*a^6*z^4 + a^8*z^4, 
 Knot[9, 19] -> a^(-4) - a^(-2) + a^2 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4 + a^2*z^4, Knot[9, 20] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[9, 21] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + (2*z^2)/a^6 - 
   z^4/a^4 - z^4/a^2, Knot[9, 22] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^2, Knot[9, 23] -> a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 4*a^6*z^2 - 
   a^10*z^2 + a^4*z^4 + 2*a^6*z^4 + a^8*z^4, 
 Knot[9, 24] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[9, 25] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   a^2*z^4 - 2*a^4*z^4, Knot[9, 26] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^2, Knot[9, 27] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[9, 28] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[9, 29] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[9, 30] -> -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 4*z^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[9, 31] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[9, 32] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[9, 33] -> 2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*z^4 + 
   z^4/a^2 + 2*a^2*z^4 - z^6, Knot[9, 34] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[9, 35] -> 3*a^6 - a^8 - a^10 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2, Knot[9, 36] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[9, 37] -> -2 + a^(-4) + 2*a^2 - z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + a^2*z^4, 
 Knot[9, 38] -> 4*a^6 - 3*a^8 + a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - a^10*z^2 + 
   a^4*z^4 + 3*a^6*z^4 + a^8*z^4, Knot[9, 39] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^4 - z^4/a^2, Knot[9, 40] -> 
  2 - 2*a^2 + a^4 - 2*a^4*z^2 + a^6*z^2 - z^4 + 2*a^2*z^4 - 2*a^4*z^4 + 
   a^2*z^6, Knot[9, 41] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + z^4 + 2*a^2*z^4, Knot[9, 42] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^2 + a^2*z^2 - z^4, Knot[9, 43] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[9, 44] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + 
   3*a^2*z^2 - a^4*z^2 + a^2*z^4, Knot[9, 45] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^4*z^4, 
 Knot[9, 46] -> 2 - a^2 - a^4 + a^6 - a^2*z^2 - a^4*z^2, 
 Knot[9, 47] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[9, 48] -> -2/a^6 + 3/a^4 + z^2 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^2, 
 Knot[9, 49] -> -3/a^8 + 4/a^6 - (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^6 + z^4/a^4, Knot[10, 1] -> a^(-2) - a^6 + a^8 - z^2 - a^2*z^2 - 
   a^4*z^2 - a^6*z^2, Knot[10, 2] -> 4*a^4 - 4*a^6 + a^8 + 10*a^4*z^2 - 
   14*a^6*z^2 + 6*a^8*z^2 + 6*a^4*z^4 - 16*a^6*z^4 + 5*a^8*z^4 + a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[10, 3] -> 
  a^(-4) - a^2 + a^6 - 2*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2, 
 Knot[10, 4] -> 2/a^4 - 2/a^2 + a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^2 - a^2*z^4, 
 Knot[10, 5] -> -3/a^6 + 5/a^4 - a^(-2) - (7*z^2)/a^6 + (17*z^2)/a^4 - 
   (6*z^2)/a^2 - (5*z^4)/a^6 + (17*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + 
   (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[10, 6] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 4*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 
   a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[10, 7] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   a^2*z^4 - a^4*z^4 - a^6*z^4, Knot[10, 8] -> 3 - 3*a^2 + a^6 + 4*z^2 - 
   7*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + z^4 - 5*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[10, 9] -> 3 + 2/a^4 - 4/a^2 + 7*z^2 + 
   (7*z^2)/a^4 - (16*z^2)/a^2 + 5*z^4 + (5*z^4)/a^4 - (17*z^4)/a^2 + z^6 + 
   z^6/a^4 - (7*z^6)/a^2 - z^8/a^2, Knot[10, 10] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^6 + (2*z^2)/a^4 - a^2*z^2 + z^4 + 
   z^4/a^4 + z^4/a^2, Knot[10, 11] -> -1 + 2/a^2 - a^2 + a^6 - 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 - 2*a^2*z^4 - a^4*z^4, 
 Knot[10, 12] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[10, 13] -> -1 + a^(-4) + a^2 - a^4 + a^6 - z^2 - 
   (2*z^2)/a^2 - 2*a^4*z^2 + z^4 + a^2*z^4, 
 Knot[10, 14] -> a^2 + a^4 - a^6 + 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[10, 15] -> 1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[10, 16] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[10, 17] -> 5 - 2/a^2 - 2*a^2 + 16*z^2 - (7*z^2)/a^2 - 7*a^2*z^2 + 
   17*z^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 7*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[10, 18] -> a^(-2) - a^2 + a^4 - z^2 + z^2/a^2 - 3*a^2*z^2 + a^6*z^2 - 
   z^4 - 2*a^2*z^4 - a^4*z^4, Knot[10, 19] -> 3 - a^(-2) - a^2 + 5*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[10, 20] -> 2 - a^2 - a^6 + a^8 + z^2 - 
   2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - a^2*z^4 - a^4*z^4 - a^6*z^4, 
 Knot[10, 21] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 3*a^2*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 + a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[10, 22] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[10, 23] -> -2/a^6 + 3/a^4 - 2*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[10, 24] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - 
   3*a^4*z^2 - a^6*z^2 + a^8*z^2 - a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[10, 25] -> 2*a^2 - 2*a^6 + a^8 + 3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[10, 26] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[10, 27] -> a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 - z^4 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[10, 28] -> -1 - a^(-6) + 3/a^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[10, 29] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 + z^2/a^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 2*z^4 + 3*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[10, 30] -> 2*a^2 - a^4 + z^2 + a^2*z^2 - 2*a^4*z^2 + a^8*z^2 - 
   a^2*z^4 - 2*a^4*z^4 - a^6*z^4, Knot[10, 31] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - z^2/a^4 + z^2/a^2 - a^4*z^2 + 2*z^4 + 
   z^4/a^2 + a^2*z^4, Knot[10, 32] -> -1 + a^(-2) + a^2 - 3*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[10, 33] -> 1 + 2*z^2 - z^2/a^4 - a^4*z^2 + 
   2*z^4 + z^4/a^2 + a^2*z^4, Knot[10, 34] -> 2 - a^(-6) + a^(-4) - a^2 + 
   2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 + z^4/a^4 + 
   z^4/a^2, Knot[10, 35] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - (2*z^2)/a^4 - 
   2*a^2*z^2 + z^4 + z^4/a^2, Knot[10, 36] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   a^2*z^2 + a^4*z^2 - a^6*z^2 + a^8*z^2 - a^2*z^4 - a^4*z^4 - a^6*z^4, 
 Knot[10, 37] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[10, 38] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - 3*a^4*z^2 + a^8*z^2 - 
   a^2*z^4 - 2*a^4*z^4 - a^6*z^4, Knot[10, 39] -> 
  2*a^2 - a^4 + 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[10, 40] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[10, 41] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 2*z^4 + 3*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[10, 42] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6, Knot[10, 43] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[10, 44] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + 3*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[10, 45] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[10, 46] -> 3/a^8 - 8/a^6 + 6/a^4 + (7*z^2)/a^8 - (18*z^2)/a^6 + 
   (11*z^2)/a^4 + (5*z^4)/a^8 - (17*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[10, 47] -> 
  -5/a^6 + 9/a^4 - 3/a^2 - (8*z^2)/a^6 + (21*z^2)/a^4 - (7*z^2)/a^2 - 
   (5*z^4)/a^6 + (18*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[10, 48] -> 9 - 4/a^2 - 4*a^2 + 20*z^2 - 
   (8*z^2)/a^2 - 8*a^2*z^2 + 18*z^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 7*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[10, 49] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 + 
   4*a^6*z^2 + 12*a^8*z^2 - 10*a^10*z^2 + a^12*z^2 + 4*a^6*z^4 + 9*a^8*z^4 - 
   3*a^10*z^4 + a^6*z^6 + 2*a^8*z^6, Knot[10, 50] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[10, 51] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[10, 52] -> 
  4 - a^(-4) - 2*a^2 + 6*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[10, 53] -> 3*a^6 - 3*a^10 + a^12 + a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 
   3*a^10*z^2 + a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4, 
 Knot[10, 54] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 5*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[10, 55] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 + 2*a^4*z^2 + 
   3*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4, 
 Knot[10, 56] -> a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[10, 57] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[10, 58] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4 + 2*a^2*z^4, 
 Knot[10, 59] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^2, Knot[10, 60] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[10, 61] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[10, 62] -> -4/a^6 + 7/a^4 - 2/a^2 - (8*z^2)/a^6 + 
   (20*z^2)/a^4 - (7*z^2)/a^2 - (5*z^4)/a^6 + (18*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[10, 63] -> a^4 + 3*a^8 - 4*a^10 + a^12 + 2*a^4*z^2 + 3*a^6*z^2 + 
   4*a^8*z^2 - 3*a^10*z^2 + a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4, 
 Knot[10, 64] -> 4 + 3/a^4 - 6/a^2 + 8*z^2 + (8*z^2)/a^4 - (19*z^2)/a^2 + 
   5*z^4 + (5*z^4)/a^4 - (18*z^4)/a^2 + z^6 + z^6/a^4 - (7*z^6)/a^2 - 
   z^8/a^2, Knot[10, 65] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[10, 66] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + 
   5*a^6*z^2 + 9*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 + 4*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 + a^6*z^6 + 2*a^8*z^6, Knot[10, 67] -> 
  1 + z^2 - 2*a^4*z^2 + a^8*z^2 - a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[10, 68] -> a^2 + a^4 - a^6 - z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   z^4 + 2*a^2*z^4 + a^4*z^4, Knot[10, 69] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[10, 70] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^2, Knot[10, 71] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6, Knot[10, 72] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[10, 73] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - z^4 + 3*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[10, 74] -> 2*a^2 - 2*a^6 + a^8 + z^2 + a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   a^8*z^2 - a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[10, 75] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 + (3*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[10, 76] -> a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[10, 77] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[10, 78] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   a^4*z^6, Knot[10, 79] -> 11 - 5/a^2 - 5*a^2 + 23*z^2 - (9*z^2)/a^2 - 
   9*a^2*z^2 + 19*z^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 7*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[10, 80] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 + 5*a^6*z^2 + 
   9*a^8*z^2 - 9*a^10*z^2 + a^12*z^2 + 4*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 
   a^6*z^6 + 2*a^8*z^6, Knot[10, 81] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 
   z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6, Knot[10, 82] -> 1 + 4*z^2 - 8*a^2*z^2 + 4*a^4*z^2 + 
   4*z^4 - 12*a^2*z^4 + 4*a^4*z^4 + z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[10, 83] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[10, 84] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[10, 85] -> a^2 + a^4 - a^6 - 3*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[10, 86] -> 2 + a^(-4) - 2/a^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[10, 87] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[10, 88] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[10, 89] -> 1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   z^4 + 2*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[10, 90] -> -2 + a^(-4) + 2*a^2 - 4*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[10, 91] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   13*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[10, 92] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[10, 93] -> 2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[10, 94] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + (5*z^2)/a^4 - (12*z^2)/a^2 + 
   4*z^4 + (4*z^4)/a^4 - (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   z^8/a^2, Knot[10, 95] -> -2/a^6 + 3/a^4 - z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[10, 96] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   6*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 - z^6, Knot[10, 97] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[10, 98] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 
   2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[10, 99] -> 9 - 4/a^2 - 4*a^2 + 16*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 + 
   14*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[10, 100] -> -a^2 + 5*a^4 - 3*a^6 - 4*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 
   4*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + 
   a^4*z^8, Knot[10, 101] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[10, 102] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[10, 103] -> -1 + 3*a^2 - a^6 - 2*z^2 + 
   4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - z^4 + 3*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[10, 104] -> 
  3 - a^(-2) - a^2 + 11*z^2 - (5*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[10, 105] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[10, 106] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 
   4*z^4 + (4*z^4)/a^4 - (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   z^8/a^2, Knot[10, 107] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[10, 108] -> 1 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[10, 109] -> 7 - 3/a^2 - 3*a^2 + 15*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 + 
   14*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[10, 110] -> a^(-2) - a^4 + a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 2*z^4 + 2*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[10, 111] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[10, 112] -> -1 + 4*a^2 - 2*a^4 + z^2 + a^4*z^2 + 3*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[10, 113] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4 - z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[10, 114] -> 2*a^2 - a^4 - z^2 + z^2/a^2 + a^4*z^2 - 2*z^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[10, 115] -> 3 - a^(-2) - a^2 + z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 - z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[10, 116] -> 1 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 8*a^2*z^4 + 
   3*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[10, 117] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[10, 118] -> 1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[10, 119] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[10, 120] -> 3*a^6 - 3*a^10 + a^12 + 7*a^6*z^2 + 3*a^8*z^2 - 
   4*a^10*z^2 + a^4*z^4 + 4*a^6*z^4 + 3*a^8*z^4, 
 Knot[10, 121] -> 1 - a^2 + 2*a^4 - a^6 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   z^4 + a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[10, 122] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[10, 123] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^2 + a^2*z^2 + 3*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[10, 124] -> 2/a^12 - 8/a^10 + 7/a^8 + z^2/a^12 - (14*z^2)/a^10 + 
   (21*z^2)/a^8 - (7*z^4)/a^10 + (21*z^4)/a^8 - z^6/a^10 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[10, 125] -> 7 - 3/a^2 - 3*a^2 + 11*z^2 - (4*z^2)/a^2 - 
   4*a^2*z^2 + 6*z^4 - z^4/a^2 - a^2*z^4 + z^6, 
 Knot[10, 126] -> -2*a^2 + 7*a^4 - 4*a^6 - 3*a^2*z^2 + 12*a^4*z^2 - 
   4*a^6*z^2 - a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[10, 127] -> 5*a^4 - 6*a^6 + 2*a^8 + 7*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 
   2*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - a^6*z^6, 
 Knot[10, 128] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - (5*z^2)/a^10 + 
   (6*z^2)/a^8 + (6*z^2)/a^6 - z^4/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^8 + z^6/a^6, Knot[10, 129] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + a^2*z^4, 
 Knot[10, 130] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + a^2*z^4 + a^4*z^4, Knot[10, 131] -> 
  2*a^2 - 2*a^6 + a^8 + 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - a^4*z^4 - 
   a^6*z^4, Knot[10, 132] -> 3*a^4 - 2*a^6 + 4*a^4*z^2 - a^6*z^2 + a^4*z^4, 
 Knot[10, 133] -> a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - a^6*z^4, Knot[10, 134] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (4*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - 
   z^4/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[10, 135] -> 4 - 2/a^2 - a^4 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   2*z^4 + a^2*z^4, Knot[10, 136] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 - z^4, Knot[10, 137] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   a^2*z^4, Knot[10, 138] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^2, Knot[10, 139] -> a^(-12) - 6/a^10 + 6/a^8 + z^2/a^12 - 
   (13*z^2)/a^10 + (21*z^2)/a^8 - (7*z^4)/a^10 + (21*z^4)/a^8 - z^6/a^10 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[10, 140] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + a^4*z^4, 
 Knot[10, 141] -> 2 - 2*a^2 + a^4 + 3*z^2 - 7*a^2*z^2 + 3*a^4*z^2 + z^4 - 
   5*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[10, 142] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - (5*z^2)/a^10 + (7*z^2)/a^8 + 
   (6*z^2)/a^6 - z^4/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[10, 143] -> 3*a^4 - 2*a^6 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[10, 144] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - 5*a^2*z^2 + a^6*z^2 - 
   2*a^2*z^4 - a^4*z^4, Knot[10, 145] -> 2*a^4 - a^6 + a^8 - a^10 + 
   4*a^4*z^2 + a^8*z^2 + a^4*z^4, Knot[10, 146] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + a^2*z^4, 
 Knot[10, 147] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   z^4 - z^4/a^2, Knot[10, 148] -> -a^2 + 5*a^4 - 3*a^6 - 2*a^2*z^2 + 
   9*a^4*z^2 - 3*a^6*z^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[10, 149] -> 4*a^4 - 4*a^6 + a^8 + 6*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 
   2*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - a^6*z^6, 
 Knot[10, 150] -> -a^(-4) + 2/a^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[10, 151] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^4 + (6*z^2)/a^2 - z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, Knot[10, 152] -> 
  8*a^8 - 10*a^10 + 3*a^12 + 22*a^8*z^2 - 17*a^10*z^2 + 2*a^12*z^2 + 
   21*a^8*z^4 - 8*a^10*z^4 + 8*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[10, 153] -> 6 - 3/a^2 - a^2 - a^4 + 10*z^2 - (4*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 6*z^4 - z^4/a^2 + z^6, Knot[10, 154] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 + (6*z^4)/a^6 + z^6/a^6, 
 Knot[10, 155] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[10, 156] -> 2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   4*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[10, 157] -> 
  -a^(-8) + 2/a^4 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, 
 Knot[10, 158] -> -2 + a^(-4) + 2*a^2 - 6*z^2 + z^2/a^2 + 2*a^2*z^2 - 4*z^4 + 
   z^4/a^2 + a^2*z^4 - z^6, Knot[10, 159] -> a^2 + a^4 - a^6 - a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[10, 160] -> -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[10, 161] -> 3*a^6 - a^8 - a^10 + 9*a^6*z^2 - a^8*z^2 - a^10*z^2 + 
   6*a^6*z^4 + a^6*z^6, Knot[10, 162] -> 3 - 3*a^2 + a^6 + 2*z^2 - 
   5*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*a^2*z^4 - a^4*z^4, 
 Knot[10, 163] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + (2*z^2)/a^2 - z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, Knot[10, 164] -> 
  3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^2 - a^4*z^2 + 2*z^4 + a^2*z^4, 
 Knot[10, 165] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^2 - z^4/a^6 - z^4/a^4, Knot[11, Alternating, 1] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 2] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[11, Alternating, 3] -> 3 - 7*a^2 + 8*a^4 - 3*a^6 + 6*z^2 - 17*a^2*z^2 + 
   15*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - 15*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 + z^6 - 
   6*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[11, Alternating, 4] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[11, Alternating, 5] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6, Knot[11, Alternating, 6] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 7] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 5*z^2 - 15*a^2*z^2 + 
   13*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - 14*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 + z^6 - 
   6*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[11, Alternating, 8] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[11, Alternating, 9] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 4*z^2 - 
   (4*z^2)/a^6 + (14*z^2)/a^4 - (14*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (13*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[11, Alternating, 10] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 11] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[11, Alternating, 12] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 13] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^4 + z^4/a^2, 
 Knot[11, Alternating, 14] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 20*z^2 + 
   (2*z^2)/a^4 - (12*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 + z^4/a^4 - (8*z^4)/a^2 - 
   4*a^2*z^4 + 6*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 15] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 14*z^2 - 
   (3*z^2)/a^2 - 18*a^2*z^2 + 6*a^4*z^2 + 9*z^4 - z^4/a^2 - 15*a^2*z^4 + 
   4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 16] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[11, Alternating, 17] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + z^4/a^2 + z^6/a^2, 
 Knot[11, Alternating, 18] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 2*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[11, Alternating, 19] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (12*z^2)/a^2 + 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 20] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   z^2/a^10 + (7*z^2)/a^8 - (9*z^2)/a^6 + (3*z^2)/a^2 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[11, Alternating, 21] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 
   z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[11, Alternating, 22] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + (19*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4/a^8 - (9*z^4)/a^6 + (15*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, Alternating, 23] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 24] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + z^4/a^4 - (7*z^4)/a^2 - 
   3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 25] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (12*z^2)/a^2 + 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 26] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + z^4/a^4 - (7*z^4)/a^2 - 
   3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 27] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 4*a^2*z^2 - 
   3*a^4*z^2 - a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[11, Alternating, 28] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 29] -> a^(-2) - a^4 + a^6 + z^2 - z^2/a^2 - a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[11, Alternating, 30] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[11, Alternating, 31] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - z^2/a^10 + (7*z^2)/a^8 - 
   (10*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (7*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[11, Alternating, 32] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (11*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[11, Alternating, 33] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 13*z^2 - (3*z^2)/a^2 - 15*a^2*z^2 + 5*a^4*z^2 + 
   9*z^4 - z^4/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 34] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 6*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (17*z^2)/a^2 + 4*z^4 - z^4/a^6 + 
   (8*z^4)/a^4 - (15*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 35] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 17*z^2 + 
   (2*z^2)/a^4 - (11*z^2)/a^2 - 6*a^2*z^2 + 15*z^4 + z^4/a^4 - (8*z^4)/a^2 - 
   4*a^2*z^4 + 6*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 36] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[11, Alternating, 37] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[11, Alternating, 38] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 
   2*a^4 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[11, Alternating, 39] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - z^2/a^6 + 
   (9*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[11, Alternating, 40] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (16*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^8 - (9*z^4)/a^6 + (14*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, Alternating, 41] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 42] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   3*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, Knot[11, Alternating, 43] -> 
  -a^(-14) + 6/a^12 - 12/a^10 + 7/a^8 + a^(-6) + (4*z^2)/a^12 - 
   (17*z^2)/a^10 + (16*z^2)/a^8 + (3*z^2)/a^6 - (6*z^4)/a^10 + (12*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 44] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 22*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 
   7*a^2*z^2 + 16*z^4 + z^4/a^4 - (9*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[11, Alternating, 45] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[11, Alternating, 46] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[11, Alternating, 47] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 22*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 
   7*a^2*z^2 + 16*z^4 + z^4/a^4 - (9*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[11, Alternating, 48] -> 
  a^2 + a^8 - a^10 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 
   a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[11, Alternating, 49] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - z^2/a^10 + 
   (8*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^2 + (3*z^4)/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[11, Alternating, 50] -> 1 - a^(-10) + 2/a^8 - a^(-6) + z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[11, Alternating, 51] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   3*z^2 + z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 2*a^2*z^4 - 
   3*a^4*z^4 + a^2*z^6, Knot[11, Alternating, 52] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[11, Alternating, 53] -> 2*a^2 - 2*a^6 + a^8 + 5*a^4*z^2 - 8*a^6*z^2 + 
   3*a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[11, Alternating, 54] -> 
  1 + a^4 - 2*a^6 + a^8 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[11, Alternating, 55] -> 
  8 - 3/a^2 - 5*a^2 + a^4 + 15*z^2 - (4*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 
   10*z^4 - z^4/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 56] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[11, Alternating, 57] -> 12 - 4/a^2 - 10*a^2 + 3*a^4 + 18*z^2 - 
   (4*z^2)/a^2 - 19*a^2*z^2 + 6*a^4*z^2 + 10*z^4 - z^4/a^2 - 15*a^2*z^4 + 
   4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 58] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[11, Alternating, 59] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^2 - a^2*z^4, Knot[11, Alternating, 60] -> 
  -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (9*z^2)/a^8 - 
   (10*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + (3*z^4)/a^8 - (8*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[11, Alternating, 61] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 + (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[11, Alternating, 62] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 7*a^4*z^2 - 11*a^6*z^2 + 14*a^8*z^2 - 
   4*a^10*z^2 + 5*a^4*z^4 - 12*a^6*z^4 + 10*a^8*z^4 - a^10*z^4 + a^4*z^6 - 
   6*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, Knot[11, Alternating, 63] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 
   a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[11, Alternating, 64] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + 3*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[11, Alternating, 65] -> 
  1 - a^2 + a^4 + a^8 - a^10 + z^2 - a^2*z^2 + a^4*z^2 + 2*a^8*z^2 - 
   a^2*z^4 - a^4*z^4 - a^6*z^4, Knot[11, Alternating, 66] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 7*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 
   3*z^4 - 9*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 67] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 
   3*z^2 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[11, Alternating, 68] -> 
  2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 69] -> 
  3 - a^(-2) - a^2 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[11, Alternating, 70] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 71] -> 1 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 - z^4/a^6 + (6*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 72] -> 
  2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   10*z^4 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[11, Alternating, 73] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[11, Alternating, 74] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 4*z^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - 
   (15*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[11, Alternating, 75] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 76] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 77] -> 2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 78] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[11, Alternating, 79] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 9*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - 10*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 80] -> a^(-2) - a^2 + a^4 + 5*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 81] -> 1 + 6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 82] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 13*z^2 - (3*z^2)/a^2 - 15*a^2*z^2 + 5*a^4*z^2 + 
   9*z^4 - z^4/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 83] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (18*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^8 - 
   (8*z^4)/a^6 + (15*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[11, Alternating, 84] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[11, Alternating, 85] -> -1 - a^(-6) + 3/a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 86] -> 5 + 2/a^4 - 5/a^2 - a^2 + 12*z^2 + 
   (5*z^2)/a^4 - (15*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (4*z^4)/a^4 - 
   (14*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 87] -> 3 + 2/a^4 - 4/a^2 + z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[11, Alternating, 88] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 14*z^2 - (5*z^2)/a^2 - 13*a^2*z^2 + 
   3*a^4*z^2 + 14*z^4 - (4*z^4)/a^2 - 9*a^2*z^4 + a^4*z^4 + 6*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[11, Alternating, 89] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 90] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 - 
   4*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[11, Alternating, 91] -> 1 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[11, Alternating, 92] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 5*z^2 - 
   14*a^2*z^2 + 14*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - 14*a^2*z^4 + 9*a^4*z^4 - 
   a^6*z^4 + z^6 - 6*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 93] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[11, Alternating, 94] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - z^2/a^12 - (4*z^2)/a^10 + (7*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^12 + z^4/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 95] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[11, Alternating, 96] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6, Knot[11, Alternating, 97] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[11, Alternating, 98] -> a^(-2) - a^4 + a^6 + z^2 - z^2/a^4 - a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, Knot[11, Alternating, 99] -> 
  3 + 2/a^4 - 4/a^2 + 7*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 100] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[11, Alternating, 101] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[11, Alternating, 102] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 
   2*a^2 - 4*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 103] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^6 + 
   z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[11, Alternating, 104] -> 2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[11, Alternating, 105] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   z^2/a^10 + (7*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^2 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[11, Alternating, 106] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 15*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + z^4/a^4 - (9*z^4)/a^2 - 
   4*a^2*z^4 + 6*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 107] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[11, Alternating, 108] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 13*z^2 - (3*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 
   9*z^4 - z^4/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 109] -> 7 - 3/a^2 - 3*a^2 + 17*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 6*a^2*z^2 + 15*z^4 + z^4/a^4 - (8*z^4)/a^2 - 
   4*a^2*z^4 + 6*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 110] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[11, Alternating, 111] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[11, Alternating, 112] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 113] -> a^2 + 2*a^4 - 3*a^6 + a^8 - a^2*z^2 + 
   8*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 8*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[11, Alternating, 114] -> a^(-8) - 4/a^6 + 4/a^4 - z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[11, Alternating, 115] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 
   z^6 - (2*z^6)/a^2, Knot[11, Alternating, 116] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (6*z^2)/a^8 - 
   (7*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[11, Alternating, 117] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[11, Alternating, 118] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 119] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[11, Alternating, 120] -> a^2 - a^4 + 2*a^6 - a^10 + 2*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[11, Alternating, 121] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 + 2*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[11, Alternating, 122] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 3*a^2*z^2 - 
   3*a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[11, Alternating, 123] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   z^2/a^12 - (3*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 124] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) - (9*z^2)/a^10 + (13*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^12 - z^4/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 125] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 + 
   3*z^4 - z^4/a^6 + (6*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (2*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 126] -> 
  9 - 4/a^2 - 4*a^2 + 19*z^2 + z^2/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 127] -> a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^8 - (7*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[11, Alternating, 128] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - z^6, Knot[11, Alternating, 129] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - a^2*z^2 + 8*a^4*z^2 - 10*a^6*z^2 + 
   3*a^8*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[11, Alternating, 130] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - z^2 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 131] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   10*a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - 10*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 132] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + z^6/a^4 + z^6/a^2, Knot[11, Alternating, 133] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[11, Alternating, 134] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[11, Alternating, 135] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 + 2*a^2*z^2 - 
   a^4*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[11, Alternating, 136] -> 2*a^2 - a^4 + 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   a^8*z^2 - z^4 + a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 137] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[11, Alternating, 138] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[11, Alternating, 139] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (14*z^2)/a^2 + 4*z^4 - z^4/a^6 + (9*z^4)/a^4 - (14*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 140] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[11, Alternating, 141] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[11, Alternating, 142] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 7*a^4*z^2 - 10*a^6*z^2 + 14*a^8*z^2 - 
   4*a^10*z^2 + 5*a^4*z^4 - 12*a^6*z^4 + 10*a^8*z^4 - a^10*z^4 + a^4*z^6 - 
   6*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, Knot[11, Alternating, 143] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   5*a^8*z^2 - a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[11, Alternating, 144] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   5*a^8*z^2 - a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[11, Alternating, 145] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - a^2*z^4 - 2*a^4*z^4 - a^6*z^4, Knot[11, Alternating, 146] -> 
  3*a^4 - 2*a^6 + 2*z^2 - 6*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - 
   9*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 147] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 148] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[11, Alternating, 149] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 150] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^8*z^2 - a^10*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[11, Alternating, 151] -> 
  -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - 6*a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - 
   9*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 152] -> -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[11, Alternating, 153] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   2*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[11, Alternating, 154] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - 
   (2*z^4)/a^2, Knot[11, Alternating, 155] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 
   2*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[11, Alternating, 156] -> 
  2 - 6*a^2 + 9*a^4 - 4*a^6 + 5*z^2 - 15*a^2*z^2 + 17*a^4*z^2 - 4*a^6*z^2 + 
   4*z^4 - 14*a^2*z^4 + 10*a^4*z^4 - a^6*z^4 + z^6 - 6*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 157] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 3*z^2 - 
   10*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - 10*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 158] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 11*z^2 - 
   (2*z^2)/a^2 - 17*a^2*z^2 + 6*a^4*z^2 + 8*z^4 - z^4/a^2 - 15*a^2*z^4 + 
   4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 159] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, Knot[11, Alternating, 160] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   10*z^4 + z^4/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[11, Alternating, 161] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 5*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[11, Alternating, 162] -> a^2 + a^4 - a^6 - a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 + 2*z^4 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[11, Alternating, 163] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 164] -> 
  a^(-2) - a^2 + a^4 + z^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 165] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[11, Alternating, 166] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + (2*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - z^4 - z^4/a^4 - (2*z^4)/a^2, Knot[11, Alternating, 167] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[11, Alternating, 168] -> 2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[11, Alternating, 169] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[11, Alternating, 170] -> 
  2 - a^(-4) + a^(-2) - a^2 + 9*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 171] -> -1 - 2/a^4 + 4/a^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 172] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 173] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[11, Alternating, 174] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 11*z^2 - (3*z^2)/a^2 - 12*a^2*z^2 + 4*a^4*z^2 + 
   9*z^4 - z^4/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 175] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + z^4/a^4 - (8*z^4)/a^2 - 
   4*a^2*z^4 + 6*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 176] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (13*z^2)/a^2 + 4*z^4 - z^4/a^6 + 
   (8*z^4)/a^4 - (14*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 177] -> -3/a^6 + 5/a^4 - a^(-2) + (2*z^2)/a^8 - 
   (9*z^2)/a^6 + (15*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^8 - (8*z^4)/a^6 + 
   (14*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (6*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[11, Alternating, 178] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 179] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 - (3*z^2)/a^6 + 
   (10*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (12*z^4)/a^4 - 
   (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[11, Alternating, 180] -> 3 - 4*a^2 + 2*a^4 + 11*z^2 - (4*z^2)/a^2 - 
   12*a^2*z^2 + 3*a^4*z^2 + 13*z^4 - (4*z^4)/a^2 - 9*a^2*z^4 + a^4*z^4 + 
   6*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[11, Alternating, 181] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 182] -> 4*a^4 - 4*a^6 + a^8 - 3*a^2*z^2 + 13*a^4*z^2 - 
   11*a^6*z^2 + 3*a^8*z^2 - 4*a^2*z^4 + 13*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 6*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[11, Alternating, 183] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 2*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 184] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - 
   11*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - 13*a^2*z^4 + 9*a^4*z^4 - 
   a^6*z^4 + z^6 - 6*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 185] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[11, Alternating, 186] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^12 - z^2/a^10 + (6*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^12 + (2*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 187] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[11, Alternating, 188] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[11, Alternating, 189] -> 
  2 - 2*a^2 + a^4 + 8*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 190] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[11, Alternating, 191] -> 
  -3/a^10 + 3/a^8 + a^(-6) - (2*z^2)/a^12 - (2*z^2)/a^10 + (9*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^12 + (2*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 192] -> 
  -2/a^10 + a^(-8) + 2/a^6 - z^2/a^12 - z^2/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 + z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[11, Alternating, 193] -> 2*a^2 - 2*a^6 + a^8 - 2*z^2 + 4*a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[11, Alternating, 194] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 4*a^2*z^2 + 15*a^4*z^2 - 13*a^6*z^2 + 3*a^8*z^2 - 
   4*a^2*z^4 + 14*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 - a^2*z^6 + 6*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[11, Alternating, 195] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 + a^4*z^2 - 2*a^6*z^2 + z^4 + 
   a^2*z^4 + a^4*z^4, Knot[11, Alternating, 196] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 8*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 
   10*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 197] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[11, Alternating, 198] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[11, Alternating, 199] -> 
  3 - 3*a^2 + a^6 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   3*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[11, Alternating, 200] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^12 - 
   z^2/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 201] -> 
  1 + a^(-2) - 2*a^2 + a^6 + z^2 - z^2/a^4 - 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   z^4/a^2 + a^2*z^4, Knot[11, Alternating, 202] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 203] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[11, Alternating, 204] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^2 + (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[11, Alternating, 205] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[11, Alternating, 206] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 6*a^4*z^2 - 
   7*a^6*z^2 + 13*a^8*z^2 - 4*a^10*z^2 + 5*a^4*z^4 - 11*a^6*z^4 + 
   10*a^8*z^4 - a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[11, Alternating, 207] -> a^4 + 2*a^8 - 2*a^10 + 2*a^2*z^2 + a^4*z^2 + 
   5*a^8*z^2 - a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[11, Alternating, 208] -> 
  a^4 + a^6 - a^10 + 2*a^2*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[11, Alternating, 209] -> a^(-2) - a^4 + a^6 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[11, Alternating, 210] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^4 - 
   a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[11, Alternating, 211] -> 2*a^4 - a^6 + a^8 - a^10 + z^2 + 2*a^4*z^2 + 
   2*a^8*z^2 - a^2*z^4 - a^4*z^4 - a^6*z^4, Knot[11, Alternating, 212] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[11, Alternating, 213] -> 
  -a^(-10) + a^(-8) + a^(-2) - z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[11, Alternating, 214] -> 
  2/a^4 - 2/a^2 + a^4 - z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 + z^4/a^4 + z^4/a^2, Knot[11, Alternating, 215] -> 
  -2/a^6 + 3/a^4 + (2*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^8 - (7*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[11, Alternating, 216] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 217] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 3*z^2 - 9*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 + 
   3*z^4 - 10*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 218] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + a^2*z^4 - 3*a^4*z^4 + 
   a^2*z^6, Knot[11, Alternating, 219] -> a^4 + a^6 - a^10 + z^2 + a^2*z^2 + 
   2*a^6*z^2 + 2*a^8*z^2 - a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[11, Alternating, 220] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[11, Alternating, 221] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + 4*z^2 - 
   12*a^2*z^2 + 16*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - 13*a^2*z^4 + 10*a^4*z^4 - 
   a^6*z^4 + z^6 - 6*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 222] -> 3*a^4 - 2*a^6 - z^2 + z^2/a^2 - a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[11, Alternating, 223] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (13*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[11, Alternating, 224] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - z^2/a^10 + (4*z^2)/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[11, Alternating, 225] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 4*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[11, Alternating, 226] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - z^4 - 2*a^2*z^4 - a^4*z^4, 
 Knot[11, Alternating, 227] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - z^2/a^12 - 
   (6*z^2)/a^10 + (12*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 228] -> 1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[11, Alternating, 229] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - z^4/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[11, Alternating, 230] -> 1 - a^(-10) + 2/a^8 - a^(-6) + z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - z^2/a^2 - z^4/a^6 - z^4/a^4 - z^4/a^2, 
 Knot[11, Alternating, 231] -> 12 - 4/a^2 - 10*a^2 + 3*a^4 + 18*z^2 - 
   (4*z^2)/a^2 - 19*a^2*z^2 + 6*a^4*z^2 + 10*z^4 - z^4/a^2 - 15*a^2*z^4 + 
   4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 232] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 11*z^2 - 
   (2*z^2)/a^2 - 16*a^2*z^2 + 6*a^4*z^2 + 8*z^4 - z^4/a^2 - 15*a^2*z^4 + 
   4*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 233] -> 3 - a^(-2) - a^2 + 10*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[11, Alternating, 234] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - (6*z^2)/a^12 + (3*z^2)/a^10 + (14*z^2)/a^8 - 
   (5*z^4)/a^12 + (10*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[11, Alternating, 235] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - (3*z^2)/a^12 + z^2/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^12 + (3*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 236] -> -a^(-12) + 2/a^6 - (2*z^2)/a^12 + 
   (6*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^12 + (2*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 237] -> -a^(-12) + 2/a^6 - z^2/a^12 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 + z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[11, Alternating, 238] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^12 + 
   z^2/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 239] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[11, Alternating, 240] -> a^(-12) - 6/a^10 + 6/a^8 - 
   (3*z^2)/a^12 - (5*z^2)/a^10 + (17*z^2)/a^8 - (4*z^4)/a^12 + (5*z^4)/a^10 + 
   (17*z^4)/a^8 - z^6/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[11, Alternating, 241] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^12 - 
   z^2/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^12 + (2*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 242] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (3*z^2)/a^12 + (4*z^2)/a^10 + (7*z^2)/a^6 - z^4/a^12 + (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[11, Alternating, 243] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[11, Alternating, 244] -> -3/a^10 + 3/a^8 + a^(-6) - z^2/a^12 - 
   (5*z^2)/a^10 + (12*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 245] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - z^4/a^12 + 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[11, Alternating, 246] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^4/a^10 + 
   z^4/a^8 + z^4/a^6 + z^4/a^4, Knot[11, Alternating, 247] -> 
  -a^(-12) + a^(-10) + a^(-2) + z^2/a^10 + z^2/a^8 + z^2/a^6 + z^2/a^4 + 
   z^2/a^2, Knot[11, Alternating, 248] -> 1 + 3*z^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 3*z^4 - 10*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[11, Alternating, 249] -> 
  2 - 2*a^2 + a^4 - z^2 + z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[11, Alternating, 250] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 4*z^2 - 
   (5*z^2)/a^6 + (16*z^2)/a^4 - (16*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (14*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[11, Alternating, 251] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 
   10*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 252] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 253] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 - 
   (3*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 254] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 255] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 9*a^2*z^2 + 
   8*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 10*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 
   5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[11, Alternating, 256] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[11, Alternating, 257] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 15*z^2 - 
   (5*z^2)/a^2 - 13*a^2*z^2 + 3*a^4*z^2 + 14*z^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 
   a^4*z^4 + 6*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 258] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[11, Alternating, 259] -> 
  -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - (3*z^2)/a^10 + (12*z^2)/a^8 - 
   (13*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^10 + (9*z^4)/a^8 - (13*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[11, Alternating, 260] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[11, Alternating, 261] -> 2*a^2 - 2*a^6 + a^8 - a^2*z^2 + 6*a^4*z^2 - 
   7*a^6*z^2 + 2*a^8*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[11, Alternating, 262] -> 
  1 + a^4 - 2*a^6 + a^8 - z^2 + a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   z^4 + 2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 263] -> -a^(-14) + 5/a^12 - 11/a^10 + 8/a^8 + 
   z^2/a^12 - (13*z^2)/a^10 + (20*z^2)/a^8 - (3*z^4)/a^12 + (18*z^4)/a^8 - 
   z^6/a^12 + (4*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[11, Alternating, 264] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 265] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[11, Alternating, 266] -> 
  -2 + a^(-2) + 3*a^2 - a^4 + z^2 - z^2/a^2 + 6*z^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 267] -> 1 + z^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[11, Alternating, 268] -> 2 + a^(-4) - 2/a^2 + 7*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 269] -> a^(-4) - a^(-2) + a^2 + 4*z^2 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 + 6*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 270] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[11, Alternating, 271] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[11, Alternating, 272] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[11, Alternating, 273] -> 2*a^2 - 2*a^6 + a^8 - z^2 + a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[11, Alternating, 274] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 11*z^2 - (4*z^2)/a^2 - 10*a^2*z^2 + 
   2*a^4*z^2 + 11*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[11, Alternating, 275] -> 
  -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - z^2/a^10 + (7*z^2)/a^8 - 
   (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[11, Alternating, 276] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[11, Alternating, 277] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 + 
   3*z^4 - z^4/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (2*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 278] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 + (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[11, Alternating, 279] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - 9*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[11, Alternating, 280] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^4 - z^2/a^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^2 + 2*a^2*z^4, Knot[11, Alternating, 281] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 9*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 282] -> 
  1 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[11, Alternating, 283] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 7*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 
   2*a^4*z^6, Knot[11, Alternating, 284] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[11, Alternating, 285] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[11, Alternating, 286] -> 3 - a^(-2) - a^2 + 8*z^2 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 287] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 288] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[11, Alternating, 289] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   10*z^4 + z^4/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[11, Alternating, 290] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[11, Alternating, 291] -> a^(-12) - 6/a^10 + 6/a^8 - (2*z^2)/a^12 - 
   (6*z^2)/a^10 + (16*z^2)/a^8 + z^2/a^6 - z^4/a^12 + z^4/a^10 + 
   (13*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 292] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^12 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^10 + (4*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 293] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 + 3*z^2 - 11*a^2*z^2 + 17*a^4*z^2 - 5*a^6*z^2 + 
   z^4 - 9*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 2*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[11, Alternating, 294] -> 
  3*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 + 6*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[11, Alternating, 295] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 2*a^2*z^2 + 4*a^4*z^2 - 8*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 + a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 
   a^4*z^6 - 2*a^6*z^6, Knot[11, Alternating, 296] -> 
  a^2 + a^8 - a^10 + z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^8*z^2 - a^2*z^4 - 
   3*a^4*z^4 - 2*a^6*z^4, Knot[11, Alternating, 297] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - 
   a^2*z^4 + a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 298] -> a^(-12) - 6/a^10 + 6/a^8 - z^2/a^12 - 
   (7*z^2)/a^10 + (15*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + (12*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 299] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^12 - 
   z^2/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 300] -> 
  3 - 4*a^2 + 2*a^4 + 8*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[11, Alternating, 301] -> a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[11, Alternating, 302] -> 
  2*a^2 - 2*a^6 + a^8 + a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[11, Alternating, 303] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[11, Alternating, 304] -> -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^10 + (8*z^2)/a^8 - (9*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[11, Alternating, 305] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[11, Alternating, 306] -> 
  4*a^4 - 4*a^6 + a^8 - 4*a^2*z^2 + 14*a^4*z^2 - 10*a^6*z^2 + 2*a^8*z^2 - 
   4*a^2*z^4 + 14*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - a^2*z^6 + 6*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[11, Alternating, 307] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + 3*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - z^4 + 3*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 308] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[11, Alternating, 309] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[11, Alternating, 310] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - z^2/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[11, Alternating, 311] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 
   z^2/a^2 - z^4/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[11, Alternating, 312] -> 
  4*a^4 - 4*a^6 + a^8 - 2*z^2 + a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 - 
   z^4 + 2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[11, Alternating, 313] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + z^4 + 2*a^2*z^4 + 2*a^4*z^4, 
 Knot[11, Alternating, 314] -> 2 + a^(-4) - 2/a^2 + z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[11, Alternating, 315] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 
   4*a^2*z^2 + 11*z^4 + z^4/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[11, Alternating, 316] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 17*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 - 
   6*a^2*z^2 + 15*z^4 + z^4/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[11, Alternating, 317] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 2*z^2 + z^2/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[11, Alternating, 318] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   (2*z^2)/a^12 - (2*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + 
   z^4/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 319] -> -4/a^10 + 5/a^8 - (2*z^2)/a^12 - 
   (4*z^2)/a^10 + (14*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + z^4/a^10 + 
   (12*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 320] -> -3/a^10 + 3/a^8 + a^(-6) - z^2/a^12 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 321] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   7*a^8*z^2 - a^10*z^2 + a^2*z^4 - a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 
   a^4*z^6 - 2*a^6*z^6, Knot[11, Alternating, 322] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 323] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[11, Alternating, 324] -> 
  2*a^4 - a^6 + a^8 - a^10 + z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 
   a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4, Knot[11, Alternating, 325] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 
   z^4 - 3*a^2*z^4 - 2*a^4*z^4, Knot[11, Alternating, 326] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 + z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 327] -> -2/a^6 + 3/a^4 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[11, Alternating, 328] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[11, Alternating, 329] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - z^2/a^12 - 
   (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 + z^4/a^10 + (5*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 330] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 3*z^2 - 12*a^2*z^2 + 16*a^4*z^2 - 5*a^6*z^2 + 
   z^4 - 9*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 2*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[11, Alternating, 331] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - 2*z^4 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[11, Alternating, 332] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 8*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   2*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 333] -> 2*a^2 - 2*a^6 + a^8 - z^2/a^2 + 3*a^2*z^2 - 
   2*a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, Knot[11, Alternating, 334] -> 
  -2/a^12 + 3/a^8 - (7*z^2)/a^12 + (6*z^2)/a^10 + (13*z^2)/a^8 - 
   (5*z^4)/a^12 + (11*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[11, Alternating, 335] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - (3*z^2)/a^12 + (2*z^2)/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^12 + (3*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 336] -> -a^(-12) - 2/a^10 + 4/a^8 - (3*z^2)/a^12 + 
   (11*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 337] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   z^2/a^12 + (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 338] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - (4*z^2)/a^12 - z^2/a^10 + (16*z^2)/a^8 - 
   (4*z^4)/a^12 + (6*z^4)/a^10 + (17*z^4)/a^8 - z^6/a^12 + (5*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[11, Alternating, 339] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (3*z^2)/a^12 + (5*z^2)/a^10 + z^2/a^8 + 
   (7*z^2)/a^6 - z^4/a^12 + (4*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[11, Alternating, 340] -> 
  -4/a^10 + 5/a^8 - (2*z^2)/a^12 - (2*z^2)/a^10 + (10*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^12 + (2*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 341] -> 
  -a^(-12) + 2/a^6 - z^2/a^12 + z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[11, Alternating, 342] -> -2/a^12 + 2/a^10 + a^(-4) - z^2/a^12 + 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 + 
   z^4/a^8 + z^4/a^6 + z^4/a^4, Knot[11, Alternating, 343] -> 
  -a^(-12) + a^(-8) + a^(-4) + z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2, Knot[11, Alternating, 344] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[11, Alternating, 345] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[11, Alternating, 346] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (15*z^2)/a^4 - (12*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (14*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[11, Alternating, 347] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 
   3*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, Alternating, 348] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, Alternating, 349] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^6 + z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[11, Alternating, 350] -> -3 + 2/a^2 + 2*a^2 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[11, Alternating, 351] -> 
  -1 + a^(-2) + a^2 + z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 5*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[11, Alternating, 352] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[11, Alternating, 353] -> -a^(-12) - 2/a^10 + 4/a^8 - 
   (2*z^2)/a^12 - (3*z^2)/a^10 + (14*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + 
   z^4/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[11, Alternating, 354] -> -4/a^10 + 5/a^8 - z^2/a^12 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 355] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (7*z^2)/a^12 + (7*z^2)/a^10 + (13*z^2)/a^8 - 
   (5*z^4)/a^12 + (11*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[11, Alternating, 356] -> 
  -2/a^12 + 3/a^8 - (3*z^2)/a^12 + (2*z^2)/a^10 + (9*z^2)/a^8 + (4*z^2)/a^6 - 
   z^4/a^12 + (3*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 357] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - (2*z^2)/a^12 - z^2/a^10 + (10*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^12 + (2*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 358] -> 
  -3/a^12 + 3/a^10 + a^(-6) - (4*z^2)/a^12 + (7*z^2)/a^10 + (3*z^2)/a^8 + 
   (6*z^2)/a^6 - z^4/a^12 + (5*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[11, Alternating, 359] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - z^2/a^12 + (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 360] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[11, Alternating, 361] -> -a^(-12) - 2/a^10 + 4/a^8 - 
   z^2/a^12 + (7*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[11, Alternating, 362] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) + z^2/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2, Knot[11, Alternating, 363] -> 
  -a^(-12) + 2/a^6 + z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2, Knot[11, Alternating, 364] -> -4/a^12 + 4/a^10 + a^(-8) - 
   (10*z^2)/a^12 + (14*z^2)/a^10 + (10*z^2)/a^8 - (6*z^4)/a^12 + 
   (16*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[11, Alternating, 365] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (4*z^2)/a^12 + (4*z^2)/a^10 + (10*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^12 + (4*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[11, Alternating, 366] -> 
  -2/a^12 + 3/a^8 - z^2/a^12 + z^2/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 + z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[11, Alternating, 367] -> -5/a^12 + 6/a^10 - (20*z^2)/a^12 + 
   (35*z^2)/a^10 - (21*z^4)/a^12 + (56*z^4)/a^10 - (8*z^6)/a^12 + 
   (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[11, NonAlternating, 1] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - a^6*z^4, 
 Knot[11, NonAlternating, 2] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[11, NonAlternating, 3] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - z^4 - 2*a^2*z^4, 
 Knot[11, NonAlternating, 4] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   z^6/a^2, Knot[11, NonAlternating, 5] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[11, NonAlternating, 6] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 7*a^2*z^2 + 7*a^4*z^2 - 
   a^6*z^2 - 5*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[11, NonAlternating, 7] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 + (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, Knot[11, NonAlternating, 8] -> 
  a^2 + a^6 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[11, NonAlternating, 9] -> 
  -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - (2*z^2)/a^10 + (12*z^2)/a^8 - 
   (17*z^2)/a^6 + (10*z^2)/a^4 + (7*z^4)/a^8 - (16*z^4)/a^6 + (6*z^4)/a^4 + 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[11, NonAlternating, 10] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 5*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 
   a^10*z^2 + 2*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - a^6*z^6, 
 Knot[11, NonAlternating, 11] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^4, Knot[11, NonAlternating, 12] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^4, 
 Knot[11, NonAlternating, 13] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - z^2/a^10 + 
   (10*z^2)/a^8 - (15*z^2)/a^6 + (10*z^2)/a^4 + (6*z^4)/a^8 - (16*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[11, NonAlternating, 14] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 6*a^4*z^2 - 
   6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + 2*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 - 
   a^6*z^6, Knot[11, NonAlternating, 15] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^4, Knot[11, NonAlternating, 16] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (4*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[11, NonAlternating, 17] -> a^2 + a^8 - a^10 + 2*a^2*z^2 + 
   2*a^8*z^2 - a^4*z^4 - a^6*z^4, Knot[11, NonAlternating, 18] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   z^4/a^4 + z^4/a^2, Knot[11, NonAlternating, 19] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - 10*a^2*z^2 + 5*a^4*z^2 + z^4 - 
   6*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[11, NonAlternating, 20] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - a^2*z^4, 
 Knot[11, NonAlternating, 21] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   z^6/a^2, Knot[11, NonAlternating, 22] -> a^(-8) - 4/a^6 + 4/a^4 + 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^4, Knot[11, NonAlternating, 23] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + z^2/a^8 - (11*z^2)/a^6 + (22*z^2)/a^4 - 
   (7*z^2)/a^2 - (6*z^4)/a^6 + (18*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + 
   (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[11, NonAlternating, 24] -> 
  5 - 2/a^2 - 2*a^2 + 8*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 + z^6, Knot[11, NonAlternating, 25] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[11, NonAlternating, 26] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^2, Knot[11, NonAlternating, 27] -> -a^(-10) + 5/a^8 - 9/a^6 + 
   6/a^4 - z^2/a^10 + (10*z^2)/a^8 - (19*z^2)/a^6 + (11*z^2)/a^4 + 
   (6*z^4)/a^8 - (17*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[11, NonAlternating, 28] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^4, Knot[11, NonAlternating, 29] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 + 2*z^2 + (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - z^4/a^4 - 
   (2*z^4)/a^2, Knot[11, NonAlternating, 30] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[11, NonAlternating, 31] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[11, NonAlternating, 32] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[11, NonAlternating, 33] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[11, NonAlternating, 34] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 11*z^2 - 
   (3*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + z^6 - a^2*z^6, Knot[11, NonAlternating, 35] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - z^2/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[11, NonAlternating, 36] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (12*z^2)/a^2 + 4*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[11, NonAlternating, 37] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - 8*a^2*z^2 + 
   3*a^4*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[11, NonAlternating, 38] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 4*a^2*z^2 + 
   a^4*z^2 - a^2*z^4, Knot[11, NonAlternating, 39] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 13*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 
   4*a^2*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[11, NonAlternating, 40] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + z^2/a^8 - 
   (8*z^2)/a^6 + (15*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^4, Knot[11, NonAlternating, 41] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^8 - (8*z^2)/a^6 + (14*z^2)/a^4 - 
   (4*z^2)/a^2 - (5*z^4)/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[11, NonAlternating, 42] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 11*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + z^6 - a^2*z^6, 
 Knot[11, NonAlternating, 43] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   z^2/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, Knot[11, NonAlternating, 44] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 - z^2/a^6 + (9*z^2)/a^4 - (12*z^2)/a^2 + 
   4*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   z^8/a^2, Knot[11, NonAlternating, 45] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 
   13*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, Knot[11, NonAlternating, 46] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + z^2/a^8 - (8*z^2)/a^6 + (15*z^2)/a^4 - 
   (4*z^2)/a^2 - (3*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[11, NonAlternating, 47] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^8 - 
   (8*z^2)/a^6 + (14*z^2)/a^4 - (4*z^2)/a^2 - (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, NonAlternating, 48] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[11, NonAlternating, 49] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - a^2*z^4, Knot[11, NonAlternating, 50] -> 
  a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + a^2*z^4 + 
   a^4*z^4, Knot[11, NonAlternating, 51] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   3*z^2 - z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^2, Knot[11, NonAlternating, 52] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (8*z^2)/a^2 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[11, NonAlternating, 53] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - 5*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[11, NonAlternating, 54] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^8 - 
   (6*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 + z^6/a^4, Knot[11, NonAlternating, 55] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 8*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[11, NonAlternating, 56] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 9*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 + z^6, 
 Knot[11, NonAlternating, 57] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   z^2/a^10 + (9*z^2)/a^8 - (16*z^2)/a^6 + (10*z^2)/a^4 + (6*z^4)/a^8 - 
   (16*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[11, NonAlternating, 58] -> 6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[11, NonAlternating, 59] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, Knot[11, NonAlternating, 60] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 7*z^2 - z^2/a^6 + (11*z^2)/a^4 - (17*z^2)/a^2 + 
   5*z^4 + (6*z^4)/a^4 - (17*z^4)/a^2 + z^6 + z^6/a^4 - (7*z^6)/a^2 - 
   z^8/a^2, Knot[11, NonAlternating, 61] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + 
   z^2/a^8 - (10*z^2)/a^6 + (19*z^2)/a^4 - (6*z^2)/a^2 - (6*z^4)/a^6 + 
   (17*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, NonAlternating, 62] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^2, 
 Knot[11, NonAlternating, 63] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   (2*z^2)/a^8 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4/a^6 - z^4/a^4, 
 Knot[11, NonAlternating, 64] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   4*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[11, NonAlternating, 65] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 + 6*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 2*a^2*z^4 + a^4*z^4, Knot[11, NonAlternating, 66] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, Knot[11, NonAlternating, 67] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 4*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - z^4 + z^4/a^4, Knot[11, NonAlternating, 68] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^4 - (2*z^4)/a^2, Knot[11, NonAlternating, 69] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[11, NonAlternating, 70] -> 4 + 3/a^4 - 6/a^2 + 4*z^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + z^4 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^2, 
 Knot[11, NonAlternating, 71] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + z^2/a^8 - 
   (10*z^2)/a^6 + (18*z^2)/a^4 - (5*z^2)/a^2 - (3*z^4)/a^6 + (10*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^4, Knot[11, NonAlternating, 72] -> 
  -a^(-10) + 6/a^8 - 11/a^6 + 7/a^4 - z^2/a^10 + (8*z^2)/a^8 - (16*z^2)/a^6 + 
   (9*z^2)/a^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[11, NonAlternating, 73] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 15*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^2, Knot[11, NonAlternating, 74] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 15*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 - 
   4*a^2*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[11, NonAlternating, 75] -> -3*a^2 + 11*a^4 - 9*a^6 + 2*a^8 - 
   5*a^2*z^2 + 18*a^4*z^2 - 10*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 10*a^4*z^4 - 
   3*a^6*z^4 + 2*a^4*z^6, Knot[11, NonAlternating, 76] -> 
  -4*a^2 + 13*a^4 - 10*a^6 + 2*a^8 - 8*a^2*z^2 + 25*a^4*z^2 - 13*a^6*z^2 + 
   a^8*z^2 - 5*a^2*z^4 + 19*a^4*z^4 - 6*a^6*z^4 - a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[11, NonAlternating, 77] -> 
  -a^(-14) + 6/a^12 - 13/a^10 + 9/a^8 + (4*z^2)/a^12 - (20*z^2)/a^10 + 
   (23*z^2)/a^8 - (9*z^4)/a^10 + (21*z^4)/a^8 - z^6/a^10 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[11, NonAlternating, 78] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + 
   z^2/a^8 - (13*z^2)/a^6 + (25*z^2)/a^4 - (8*z^2)/a^2 - (6*z^4)/a^6 + 
   (19*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, NonAlternating, 79] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^2, 
 Knot[11, NonAlternating, 80] -> 3 - 5*a^2 + 3*a^4 + a^6 - a^8 + 4*z^2 - 
   9*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 + z^4 - 6*a^2*z^4 - a^2*z^6, 
 Knot[11, NonAlternating, 81] -> -a^(-10) + 7/a^8 - 13/a^6 + 8/a^4 - 
   z^2/a^10 + (11*z^2)/a^8 - (23*z^2)/a^6 + (12*z^2)/a^4 + (6*z^4)/a^8 - 
   (18*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[11, NonAlternating, 82] -> 3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + z^6, 
 Knot[11, NonAlternating, 83] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - 
   (3*z^2)/a^2 - a^4*z^2 + 2*z^4 + a^2*z^4, Knot[11, NonAlternating, 84] -> 
  2*a^2 - a^4 + 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 - a^4*z^4 - a^6*z^4, 
 Knot[11, NonAlternating, 85] -> 3 - a^(-2) - a^2 + 5*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[11, NonAlternating, 86] -> 1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^4 - (4*z^4)/a^2 - z^6/a^2, Knot[11, NonAlternating, 87] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, Knot[11, NonAlternating, 88] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 + (9*z^2)/a^8 - (15*z^2)/a^6 + 
   (10*z^2)/a^4 + (6*z^4)/a^8 - (16*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[11, NonAlternating, 89] -> 
  2*a^4 - a^6 + a^8 - a^10 + 5*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + 
   2*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - a^6*z^6, 
 Knot[11, NonAlternating, 90] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   (4*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[11, NonAlternating, 91] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 - a^6*z^4, Knot[11, NonAlternating, 92] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 - 
   z^4/a^2 - a^2*z^4 + z^6, Knot[11, NonAlternating, 93] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - (7*z^2)/a^10 + (11*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[11, NonAlternating, 94] -> 2 - a^(-4) + a^(-2) - a^2 + 
   4*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   z^6/a^2, Knot[11, NonAlternating, 95] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 + (3*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^6, Knot[11, NonAlternating, 96] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - z^2/a^4 - 3*a^2*z^2 + 5*z^4 - a^2*z^4 + 
   z^6, Knot[11, NonAlternating, 97] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 - z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4/a^2 + a^2*z^4, 
 Knot[11, NonAlternating, 98] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[11, NonAlternating, 99] -> 4*a^2 - 4*a^4 + a^8 + 3*a^2*z^2 - 
   5*a^4*z^2 - a^6*z^2 + a^8*z^2 - 2*a^4*z^4 - a^6*z^4, 
 Knot[11, NonAlternating, 100] -> a^(-6) - a^(-4) + a^2 - (2*z^2)/a^4 - 
   a^2*z^2 + z^4 + z^4/a^2, Knot[11, NonAlternating, 101] -> 
  a^2 + a^4 - a^6 - z^2 + z^2/a^2 + 2*a^4*z^2 - z^4 - a^2*z^4, 
 Knot[11, NonAlternating, 102] -> 2 - a^2 - a^6 + a^8 + z^2 - 3*a^2*z^2 - 
   a^6*z^2 - a^2*z^4, Knot[11, NonAlternating, 103] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^4*z^6, 
 Knot[11, NonAlternating, 104] -> 2/a^8 - 6/a^6 + 5/a^4 - z^2/a^10 + 
   (8*z^2)/a^8 - (16*z^2)/a^6 + (10*z^2)/a^4 + (6*z^4)/a^8 - (16*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[11, NonAlternating, 105] -> -2/a^6 + 3/a^4 - z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^6, Knot[11, NonAlternating, 106] -> 4 - 2/a^2 - a^4 + 8*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + z^6, 
 Knot[11, NonAlternating, 107] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^8 - 
   (10*z^2)/a^6 + (18*z^2)/a^4 - (6*z^2)/a^2 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, NonAlternating, 108] -> a^4 + a^6 - a^10 + 4*a^4*z^2 + 3*a^8*z^2 - 
   a^10*z^2 + 2*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - a^6*z^6, 
 Knot[11, NonAlternating, 109] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   5*a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 - a^6*z^6, Knot[11, NonAlternating, 110] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^2, Knot[11, NonAlternating, 111] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (6*z^4)/a^2 - z^6/a^2, Knot[11, NonAlternating, 112] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[11, NonAlternating, 113] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - a^6*z^4, 
 Knot[11, NonAlternating, 114] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 - 
   3*a^2*z^2 + 2*z^4 + z^4/a^2, Knot[11, NonAlternating, 115] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6, Knot[11, NonAlternating, 116] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 4*z^2 + z^2/a^2 - a^4*z^2 - z^4, 
 Knot[11, NonAlternating, 117] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^2, 
 Knot[11, NonAlternating, 118] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^6, Knot[11, NonAlternating, 119] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - 4*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[11, NonAlternating, 120] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 + 
   4*z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   z^8/a^2, Knot[11, NonAlternating, 121] -> a^4 + 2*a^6 - 2*a^8 + 
   2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[11, NonAlternating, 122] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 2*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   a^4*z^4 - a^6*z^4, Knot[11, NonAlternating, 123] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + 2*a^2*z^4, Knot[11, NonAlternating, 124] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, Knot[11, NonAlternating, 125] -> 
  1 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^4, Knot[11, NonAlternating, 126] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) - (9*z^2)/a^10 + (13*z^2)/a^8 + 
   (3*z^2)/a^6 - (2*z^4)/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[11, NonAlternating, 127] -> 4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 
   7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 + 
   a^4*z^6, Knot[11, NonAlternating, 128] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (2*z^4)/a^2 - a^2*z^4 + z^6, 
 Knot[11, NonAlternating, 129] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + z^2 - 
   5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 
   a^4*z^6, Knot[11, NonAlternating, 130] -> 2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[11, NonAlternating, 131] -> 2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - z^4 + 3*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[11, NonAlternating, 132] -> a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + a^2*z^4 + a^4*z^4, Knot[11, NonAlternating, 133] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 - (5*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[11, NonAlternating, 134] -> 
  3*a^2 - 3*a^4 + a^6 + 3*a^2*z^2 - 4*a^4*z^2 + a^8*z^2 - 2*a^4*z^4 - 
   a^6*z^4, Knot[11, NonAlternating, 135] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + z^2/a^8 - (6*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^4 + z^4/a^2 - 
   z^6/a^4, Knot[11, NonAlternating, 136] -> -2/a^10 + a^(-8) + 2/a^6 - 
   (5*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - (2*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, Knot[11, NonAlternating, 137] -> 
  4*a^6 - 3*a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - a^4*z^6, Knot[11, NonAlternating, 138] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 3*z^2 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - 
   a^2*z^4, Knot[11, NonAlternating, 139] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) - z^2/a^6 - z^2/a^4, Knot[11, NonAlternating, 140] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 + a^4*z^2 + 3*a^6*z^2 - a^2*z^4 - a^4*z^4, 
 Knot[11, NonAlternating, 141] -> -1 + 2/a^2 - a^2 + a^6 - 2*z^2 - 
   2*a^2*z^2 - a^4*z^2, Knot[11, NonAlternating, 142] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 3*z^2 + a^2*z^2 - 2*a^4*z^2 + a^2*z^4, 
 Knot[11, NonAlternating, 143] -> a^(-4) - a^(-2) + a^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[11, NonAlternating, 144] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, Knot[11, NonAlternating, 145] -> 
  5 - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 6*z^4 - 
   a^2*z^4 + z^6, Knot[11, NonAlternating, 146] -> 
  -3/a^6 + 5/a^4 - a^(-2) + z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + z^6/a^4, 
 Knot[11, NonAlternating, 147] -> -2/a^6 + 3/a^4 + z^2/a^8 - (6*z^2)/a^6 + 
   (11*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, NonAlternating, 148] -> -1 - a^(-6) + 3/a^2 + z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 3*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[11, NonAlternating, 149] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - (5*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[11, NonAlternating, 150] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) - z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, NonAlternating, 151] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (13*z^2)/a^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, Knot[11, NonAlternating, 152] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 4*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (13*z^2)/a^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - 
   z^6/a^2, Knot[11, NonAlternating, 153] -> 3 + 2/a^4 - 4/a^2 + 9*z^2 + 
   z^2/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 
   6*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[11, NonAlternating, 154] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[11, NonAlternating, 155] -> a^(-6) - a^(-4) + a^2 + z^2 - (3*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[11, NonAlternating, 156] -> 3 - a^(-2) - a^2 + 6*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   z^6/a^2, Knot[11, NonAlternating, 157] -> 1 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - 3*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[11, NonAlternating, 158] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^8 - 
   (7*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^6 + (12*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, NonAlternating, 159] -> a^2 + a^4 - a^6 + 4*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[11, NonAlternating, 160] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 2*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[11, NonAlternating, 161] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[11, NonAlternating, 162] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^6 - z^4/a^4, 
 Knot[11, NonAlternating, 163] -> 1 + a^(-6) - 2/a^4 + a^(-2) + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[11, NonAlternating, 164] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[11, NonAlternating, 165] -> 2 - 2*a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - 2*z^4 + (2*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[11, NonAlternating, 166] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 5*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 + 4*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[11, NonAlternating, 167] -> -3/a^6 + 5/a^4 - a^(-2) + z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^4, Knot[11, NonAlternating, 168] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + z^6/a^2, Knot[11, NonAlternating, 169] -> 
  a^(-12) - 6/a^10 + 6/a^8 - (8*z^2)/a^10 + (14*z^2)/a^8 + (3*z^2)/a^6 - 
   (2*z^4)/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[11, NonAlternating, 170] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^2*z^4 - 2*a^4*z^4, 
 Knot[11, NonAlternating, 171] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[11, NonAlternating, 172] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[11, NonAlternating, 173] -> -4/a^6 + 7/a^4 - 2/a^2 + z^2/a^8 - 
   (7*z^2)/a^6 + (15*z^2)/a^4 - (4*z^2)/a^2 - (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[11, NonAlternating, 174] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, Knot[11, NonAlternating, 175] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[11, NonAlternating, 176] -> 
  2*a^2 - 2*a^6 + a^8 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, Knot[11, NonAlternating, 177] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   3*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[11, NonAlternating, 178] -> -3/a^6 + 5/a^4 - a^(-2) + z^2/a^8 - 
   (6*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^4, Knot[11, NonAlternating, 179] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   3*z^4 + (3*z^4)/a^2 + a^2*z^4 - z^6, Knot[11, NonAlternating, 180] -> 
  -4/a^10 + 5/a^8 - (6*z^2)/a^10 + (12*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[11, NonAlternating, 181] -> -3/a^10 + 3/a^8 + a^(-6) - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[11, NonAlternating, 182] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 
   4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[11, NonAlternating, 183] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^8 + (6*z^4)/a^6 + 
   z^6/a^6, Knot[11, NonAlternating, 184] -> a^(-8) - 4/a^6 + 4/a^4 + 
   z^2/a^8 - (7*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4, Knot[11, NonAlternating, 185] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2/a^10 + (5*z^2)/a^8 - (9*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[12, Alternating, 1] -> 6 - a^(-2) - 8*a^2 + 5*a^4 - a^6 + 13*z^2 - 
   (4*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 12*z^4 - (3*z^4)/a^2 - 
   11*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 2] -> 8 + a^(-4) - 4/a^2 - 6*a^2 + 2*a^4 + 16*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 3] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 4] -> 
  7 + 2/a^4 - 5/a^2 - 5*a^2 + 2*a^4 + 15*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 - 
   11*a^2*z^2 + 2*a^4*z^2 + 13*z^4 + z^4/a^4 - (7*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 5] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 6] -> 6 - a^(-6) + 5/a^4 - 8/a^2 - a^2 + 10*z^2 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (17*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 7] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   2*z^2 - 8*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 8] -> 8 + 2/a^4 - 6/a^2 - 4*a^2 + a^4 + 15*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 12*z^4 + z^4/a^4 - 
   (8*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 9] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, Alternating, 10] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 11] -> 5*a^4 - 8*a^6 + 6*a^8 - 2*a^10 - 2*a^2*z^2 + 
   13*a^4*z^2 - 16*a^6*z^2 + 9*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 11*a^4*z^4 - 
   12*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[12, Alternating, 12] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - z^2 + 
   4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - z^4 + 2*a^2*z^4 - 
   3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[12, Alternating, 13] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[12, Alternating, 14] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 2*z^2 - 8*a^2*z^2 + 10*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 15] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[12, Alternating, 16] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 13*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 
   9*a^2*z^2 + 2*a^4*z^2 + 12*z^4 + z^4/a^4 - (7*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 17] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 10*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (15*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 18] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 
   14*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 19] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 
   3*z^2 - 11*a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   11*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 + z^6 - 5*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 20] -> 5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 
   11*z^2 - (3*z^2)/a^2 - 14*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 11*z^4 - 
   (3*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 21] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   (3*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 22] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 3*z^2 + 
   z^2/a^2 - a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 23] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 3*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[12, Alternating, 24] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 
   3*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (11*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 25] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 26] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 - a^2*z^2 + 
   11*a^4*z^2 - 14*a^6*z^2 + 9*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 10*a^4*z^4 - 
   12*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[12, Alternating, 27] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - z^4 + a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[12, Alternating, 28] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 29] -> 
  4 - 9*a^2 + 10*a^4 - 5*a^6 + a^8 + 5*z^2 - 17*a^2*z^2 + 17*a^4*z^2 - 
   7*a^6*z^2 + a^8*z^2 + 3*z^4 - 13*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   5*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 30] -> 
  8 - 2/a^2 - 10*a^2 + 7*a^4 - 2*a^6 + 15*z^2 - (4*z^2)/a^2 - 18*a^2*z^2 + 
   9*a^4*z^2 - a^6*z^2 + 12*z^4 - (3*z^4)/a^2 - 12*a^2*z^4 + 3*a^4*z^4 + 
   5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[12, Alternating, 31] -> 
  -1 + a^(-8) - 3/a^6 + 3/a^4 + a^2 - 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[12, Alternating, 32] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, Alternating, 33] -> 8 - 2/a^2 - 10*a^2 + 7*a^4 - 2*a^6 + 15*z^2 - 
   (4*z^2)/a^2 - 18*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 12*z^4 - (3*z^4)/a^2 - 
   12*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 34] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 + (5*z^2)/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 35] -> -a^(-10) + a^(-8) + a^(-2) + 
   z^2/a^10 + z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[12, Alternating, 36] -> a^(-12) - 5/a^10 + 8/a^8 - 7/a^6 + 
   4/a^4 - (3*z^2)/a^10 + (11*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 37] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[12, Alternating, 38] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^8 + z^2/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^8 - z^4/a^6 - 
   z^4/a^4 - z^4/a^2, Knot[12, Alternating, 39] -> 
  4 - a^(-2) - 6*a^2 + 7*a^4 - 3*a^6 + 9*z^2 - (2*z^2)/a^2 - 14*a^2*z^2 + 
   13*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 12*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 40] -> 2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 + 4*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (16*z^2)/a^4 - (13*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (12*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 41] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 5*a^2*z^2 + 13*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 - 4*a^2*z^4 + 11*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 42] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   5*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 43] -> a^(-14) - a^(-12) - 4/a^10 + 4/a^8 + a^(-6) + 
   z^2/a^14 - (5*z^2)/a^12 - (3*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^4)/a^12 + (3*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 44] -> 
  a^(-12) - 4/a^10 + 6/a^8 - 5/a^6 + 2/a^4 + a^(-2) - (4*z^2)/a^10 + 
   (12*z^2)/a^8 - (11*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^8 - 
   (9*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 45] -> 4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 46] -> -2 - a^(-4) + 2/a^2 + 3*a^2 - a^6 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 47] -> 
  a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) - (4*z^2)/a^10 + (9*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^2 + (5*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 48] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 
   2*a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 49] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - z^2 - 2*a^2*z^2 + 12*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 - z^4 + 9*a^4*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 50] -> -a^(-2) + 3*a^2 + a^4 - 2*a^6 + 5*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 51] -> 3 - 2/a^2 + a^2 - a^6 + 4*z^2 - z^2/a^4 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[12, Alternating, 52] -> 3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + 
   (4*z^2)/a^14 - (21*z^2)/a^12 + (16*z^2)/a^10 + (10*z^2)/a^8 + z^4/a^14 - 
   (15*z^4)/a^12 + (23*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[12, Alternating, 53] -> 2/a^14 - 5/a^12 + a^(-10) + 2/a^8 + a^(-6) + 
   z^2/a^14 - (8*z^2)/a^12 + (3*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^4)/a^12 + (5*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 54] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[12, Alternating, 55] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 + z^2/a^14 - (6*z^2)/a^12 + 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^12 + (5*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 56] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + 
   a^(-4) - (3*z^2)/a^12 + (3*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 57] -> 2 - a^(-4) + 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 
   2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[12, Alternating, 58] -> 9 + a^(-4) - 5/a^2 - 5*a^2 + a^4 + 17*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 13*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 59] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 60] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 61] -> 7 - a^(-6) + 4/a^4 - 7/a^2 - 2*a^2 + 12*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (15*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 62] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 
   3*a^2 - a^4 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 63] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 64] -> a^(-12) - 4/a^10 + 6/a^8 - 5/a^6 + 2/a^4 + 
   a^(-2) - (4*z^2)/a^10 + (12*z^2)/a^8 - (11*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (6*z^4)/a^8 - (9*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 65] -> 4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 66] -> 7 - a^(-6) + 4/a^4 - 7/a^2 - 2*a^2 + 15*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (14*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 67] -> 3 - 5*a^2 + 4*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 68] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 69] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - 7*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 70] -> 
  a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 6*a^4*z^2 - 9*a^6*z^2 + 6*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[12, Alternating, 71] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 72] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^6 + z^2/a^4 + 
   a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 73] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 74] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 5*z^2 - 14*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 3*z^4 - 13*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + z^6 - 5*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 75] -> 
  -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 + (7*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 76] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 + z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 77] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 15*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 + 13*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 78] -> -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 
   11*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 79] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 10*z^2 - z^2/a^6 + 
   (7*z^2)/a^4 - (15*z^2)/a^2 - 3*a^2*z^2 + 11*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 80] -> 5 - 2/a^6 + 6/a^4 - 7/a^2 - a^2 + 12*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (16*z^2)/a^2 - 3*a^2*z^2 + 11*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 81] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^4 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[12, Alternating, 82] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) + z^2/a^14 - (6*z^2)/a^12 + 
   (10*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^12 + (4*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 83] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   (4*z^2)/a^10 + (9*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 84] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 9*z^2 - 
   (2*z^2)/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   12*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 85] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 
   4*a^2*z^2 + 7*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[12, Alternating, 86] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - z^2 - a^2*z^2 + 9*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 87] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 8*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 
   12*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 11*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 88] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 89] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 
   3*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 90] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (13*z^2)/a^4 - (12*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (12*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 91] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - z^2/a^10 + (7*z^2)/a^8 - 
   (12*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, Alternating, 92] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 93] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   (4*z^2)/a^14 - (22*z^2)/a^12 + (19*z^2)/a^10 + (9*z^2)/a^8 + z^4/a^14 - 
   (15*z^4)/a^12 + (24*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[12, Alternating, 94] -> 2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - 
   (8*z^2)/a^12 + (2*z^2)/a^10 + (12*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^12 + 
   (5*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 95] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + 
   a^(-2) - z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - z^4 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 96] -> 2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) + 
   z^2/a^14 - (9*z^2)/a^12 + (7*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 97] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - (3*z^2)/a^12 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[12, Alternating, 98] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 
   9*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (14*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 99] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 16*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 13*z^4 + z^4/a^4 - (7*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 100] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 6*z^2 - 
   z^2/a^4 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[12, Alternating, 101] -> 
  8 - a^(-6) + 3/a^4 - 6/a^2 - 3*a^2 + 16*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (13*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - 
   3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 102] -> a^(-14) - a^(-12) - 5/a^10 + 6/a^8 + 
   z^2/a^14 - (5*z^2)/a^12 - (5*z^2)/a^10 + (16*z^2)/a^8 + z^2/a^6 - 
   (3*z^4)/a^12 + (2*z^4)/a^10 + (14*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 103] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (9*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 104] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 + 2*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 - z^4 + 2*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 105] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + z^2/a^12 - (10*z^2)/a^10 + 
   (17*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (9*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, Alternating, 106] -> a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) - (3*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, Alternating, 107] -> a^(-14) - a^(-12) - 5/a^10 + 6/a^8 + 
   z^2/a^14 - (5*z^2)/a^12 - (5*z^2)/a^10 + (16*z^2)/a^8 + z^2/a^6 - 
   (3*z^4)/a^12 + (2*z^4)/a^10 + (14*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 108] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (13*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 109] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 110] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + a^(-2) - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (5*z^4)/a^8 - 
   (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 111] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   z^2/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[12, Alternating, 112] -> 
  6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 11*z^2 - (3*z^2)/a^2 - 12*a^2*z^2 + 
   8*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - z^4/a^2 - 11*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 113] -> 4 + a^(-8) - 5/a^6 + 10/a^4 - 9/a^2 + 5*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (17*z^2)/a^4 - (17*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (13*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 114] -> 
  a^(-12) - 5/a^10 + 9/a^8 - 8/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^10 + 
   (14*z^2)/a^8 - (14*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^8 - 
   (10*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 115] -> 8 - a^(-6) + 3/a^4 - 6/a^2 - 3*a^2 + 16*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (13*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 116] -> 7 - 2/a^2 - 9*a^2 + 8*a^4 - 3*a^6 + 12*z^2 - 
   (3*z^2)/a^2 - 16*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 + 8*z^4 - z^4/a^2 - 
   12*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 117] -> a^(-12) - 5/a^10 + 9/a^8 - 8/a^6 + 
   3/a^4 + a^(-2) - (4*z^2)/a^10 + (14*z^2)/a^8 - (14*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 118] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 119] -> 
  -a^(-10) + 6/a^8 - 12/a^6 + 9/a^4 - a^(-2) - z^2/a^10 + (8*z^2)/a^8 - 
   (19*z^2)/a^6 + (16*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^8 - (12*z^4)/a^6 + 
   (12*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[12, Alternating, 120] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   z^2 + z^2/a^8 - (7*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 121] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 122] -> 
  7 - 2/a^2 - 9*a^2 + 8*a^4 - 3*a^6 + 12*z^2 - (3*z^2)/a^2 - 16*a^2*z^2 + 
   13*a^4*z^2 - 3*a^6*z^2 + 8*z^4 - z^4/a^2 - 12*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 123] -> 2 - 4*a^2 + 7*a^4 - 6*a^6 + 2*a^8 + 3*z^2 - 
   10*a^2*z^2 + 14*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + z^4 - 8*a^2*z^4 + 
   11*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 124] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + 
   a^8 - 3*z^2 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 125] -> 1 + a^(-6) - a^(-4) - a^4 + a^6 - z^2 - 
   (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   z^6, Knot[12, Alternating, 126] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   9*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 127] -> 
  -1 + a^(-8) - 3/a^6 + 5/a^4 - 3/a^2 + 2*a^2 - 4*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 128] -> 
  -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - 2*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 - 
   2*a^2*z^2 + z^4 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[12, Alternating, 129] -> 6 - 2/a^6 + 5/a^4 - 6/a^2 - 2*a^2 + 11*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (13*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^6 + 
   (8*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 130] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - 
   a^4 - z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 131] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 132] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 133] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 134] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 6*z^2 - z^2/a^2 - 
   11*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 135] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   3*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, Alternating, 136] -> 3 - 5*a^2 + 4*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 137] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 138] -> 1 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 139] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 140] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 141] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 9*z^2 - z^2/a^6 + (9*z^2)/a^4 - (15*z^2)/a^2 - 
   2*a^2*z^2 + 10*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[12, Alternating, 142] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - z^2/a^10 + (7*z^2)/a^8 - (14*z^2)/a^6 + 
   (12*z^2)/a^4 - (2*z^2)/a^2 + (3*z^4)/a^8 - (11*z^4)/a^6 + (11*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, Alternating, 143] -> 3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + 
   (4*z^2)/a^14 - (24*z^2)/a^12 + (24*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^14 - 
   (16*z^4)/a^12 + (28*z^4)/a^10 + (11*z^4)/a^8 - (3*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[12, Alternating, 144] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^14 - 
   (9*z^2)/a^12 + (5*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^12 + 
   (6*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 145] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 + 
   z^2/a^14 - (6*z^2)/a^12 - z^2/a^10 + (13*z^2)/a^8 + (2*z^2)/a^6 - 
   (3*z^4)/a^12 + (4*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 146] -> 
  -4*a^4 + 12*a^6 - 7*a^8 - 14*a^4*z^2 + 42*a^6*z^2 - 18*a^8*z^2 - 
   16*a^4*z^4 + 52*a^6*z^4 - 17*a^8*z^4 - 7*a^4*z^6 + 31*a^6*z^6 - 
   7*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[12, Alternating, 147] -> -a^2 + 7*a^6 - 5*a^8 - 4*a^2*z^2 + 5*a^4*z^2 + 
   16*a^6*z^2 - 8*a^8*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 14*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 148] -> -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 5*a^2*z^2 + 
   10*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 149] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (15*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 150] -> 
  -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - z^2 - a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 151] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[12, Alternating, 152] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (3*z^2)/a^12 + (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[12, Alternating, 153] -> 
  -1 + 2*a^2 - a^4 + 4*a^6 - 3*a^8 - 2*z^2 + 4*a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[12, Alternating, 154] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 - (4*z^2)/a^10 + (11*z^2)/a^8 - 
   (9*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^8 - (8*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 155] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 4*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[12, Alternating, 156] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - 
   (3*z^2)/a^12 - z^2/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 157] -> 8 - 2/a^6 + 7/a^4 - 10/a^2 - 2*a^2 + 15*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (18*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 158] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + 
   z^2/a^12 - (10*z^2)/a^10 + (16*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, Alternating, 159] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (3*z^4)/a^8 - z^4/a^4 + z^4/a^2 - 
   z^6/a^6 - z^6/a^4, Knot[12, Alternating, 160] -> 
  -3*a^2 + 8*a^4 - 3*a^6 - a^8 - 7*a^2*z^2 + 17*a^4*z^2 + a^6*z^2 - 
   4*a^8*z^2 - 5*a^2*z^4 + 14*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 
   6*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 161] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 + 
   2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 162] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 163] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 - z^4 - (6*z^4)/a^6 + 
   (9*z^4)/a^4 + (3*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 164] -> 
  1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 + 3*z^2 + z^2/a^8 - (10*z^2)/a^6 + 
   (21*z^2)/a^4 - (12*z^2)/a^2 + 3*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 165] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 2*z^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[12, Alternating, 166] -> 1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 + 3*z^2 + 
   z^2/a^8 - (10*z^2)/a^6 + (21*z^2)/a^4 - (12*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 167] -> 
  -4*a^2 + 12*a^4 - 8*a^6 + a^8 - 8*a^2*z^2 + 22*a^4*z^2 - 6*a^6*z^2 - 
   2*a^8*z^2 - 5*a^2*z^4 + 16*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 
   6*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 168] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 3*z^2 + 
   7*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 169] -> 2 - a^(-2) + a^6 - a^8 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + a^2*z^4 + a^4*z^4 + 
   a^6*z^4, Knot[12, Alternating, 170] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 
   4/a^2 + a^2 - 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[12, Alternating, 171] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[12, Alternating, 172] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 3*z^2 - 
   9*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + z^4 - 8*a^2*z^4 + 
   10*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 173] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 
   2*a^4 + 12*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 
   11*z^4 + z^4/a^4 - (7*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 174] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 8*z^2 - (2*z^2)/a^2 - 12*a^2*z^2 + 
   11*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 11*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 175] -> a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 
   a^2*z^2 - a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 176] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, Alternating, 177] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 2*z^2 + 
   z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[12, Alternating, 178] -> 
  5 + 2/a^4 - 4/a^2 - 3*a^2 + a^6 + 9*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 2*a^4*z^4 + 
   2*z^6 + a^2*z^6, Knot[12, Alternating, 179] -> 
  4 - 2/a^6 + 5/a^4 - 5/a^2 - a^2 + 9*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (11*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^6 + (8*z^4)/a^4 - (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 180] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 181] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^2 - a^4 + a^6 - 4*z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[12, Alternating, 182] -> 7 - 2/a^2 - 9*a^2 + 8*a^4 - 3*a^6 + 12*z^2 - 
   (3*z^2)/a^2 - 16*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 + 8*z^4 - z^4/a^2 - 
   12*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 183] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 
   2*z^2 - (3*z^2)/a^4 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^2 + 
   a^2*z^4, Knot[12, Alternating, 184] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 185] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 186] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 
   2*a^10 + a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[12, Alternating, 187] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 3*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 - z^4 + a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 188] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 6*z^2 - z^2/a^2 - 
   11*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 189] -> -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 190] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   3*a^4*z^2 - 7*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[12, Alternating, 191] -> a^2 + a^4 - a^6 + z^2 - 3*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 2*z^4 - 7*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 192] -> 1 - a^6 + 2*a^8 - a^10 + a^2*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 - z^4 + a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 193] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 4*z^2 - 
   11*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + z^4 - 9*a^2*z^4 + 
   9*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 194] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + 
   a^8 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 195] -> 4 - 8*a^2 + 9*a^4 - 6*a^6 + 2*a^8 + 4*z^2 - 
   14*a^2*z^2 + 15*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + z^4 - 9*a^2*z^4 + 
   11*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 196] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + 
   a^8 - 5*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   2*z^4 + 2*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 197] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^6*z^2 + z^4 + a^2*z^4 + a^4*z^4, 
 Knot[12, Alternating, 198] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[12, Alternating, 199] -> 
  -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (8*z^2)/a^8 - 
   (9*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 200] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 4*z^2 - 
   13*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 3*z^4 - 12*a^2*z^4 + 
   10*a^4*z^4 - 3*a^6*z^4 + z^6 - 5*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 201] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 3*z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 202] -> 
  a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   7*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[12, Alternating, 203] -> 
  4 - 7*a^2 + 5*a^4 - a^6 + 8*z^2 - (2*z^2)/a^2 - 15*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 + 7*z^4 - z^4/a^2 - 12*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 204] -> 
  -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 205] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + z^2/a^10 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (9*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 206] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[12, Alternating, 207] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 15*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 208] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[12, Alternating, 209] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 210] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 211] -> 
  4 - 3/a^4 + 3/a^2 - 3*a^2 + 9*z^2 - (6*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 
   10*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 212] -> 
  -a^(-6) - a^(-4) + 4/a^2 - a^2 + z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[12, Alternating, 213] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 214] -> 
  1 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 215] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 3*z^2 - 
   10*a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 3*z^4 - 11*a^2*z^4 + 
   11*a^4*z^4 - 3*a^6*z^4 + z^6 - 5*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 216] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^8 - 
   (8*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 217] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 10*z^2 - (3*z^2)/a^2 - 14*a^2*z^2 + 7*a^4*z^2 - 
   a^6*z^2 + 11*z^4 - (3*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[12, Alternating, 218] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) - z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   z^6/a^4 + z^6/a^2, Knot[12, Alternating, 219] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 - 2*a^2*z^2 + 12*a^4*z^2 - 13*a^6*z^2 + 
   7*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 11*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[12, Alternating, 220] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 8*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (14*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 + (7*z^4)/a^4 - (12*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 221] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 222] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 223] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + z^2/a^2 - 
   6*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 + 
   5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[12, Alternating, 224] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + 3*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 225] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 - 
   12*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*z^4 - 12*a^2*z^4 + 
   10*a^4*z^4 - 3*a^6*z^4 + z^6 - 5*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 226] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 227] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^10 + z^4/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 228] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 7*z^2 - z^2/a^2 - 
   15*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 13*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 229] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 230] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 7*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 - z^4 + 4*a^4*z^4 - 5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[12, Alternating, 231] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + z^2/a^10 + 
   (4*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (9*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 232] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 233] -> 3 + 2/a^4 - 4/a^2 + 7*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 234] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 7*z^2 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[12, Alternating, 235] -> 1 - a^(-6) + 2/a^2 - a^2 + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 236] -> 2/a^10 - 4/a^8 + 3/a^4 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 237] -> 
  a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 238] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2/a^10 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 239] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^6 - (2*z^2)/a^4 - z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[12, Alternating, 240] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 5*a^2*z^2 + 14*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 
   4*a^2*z^4 + 11*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 241] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 5*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[12, Alternating, 242] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 12*z^2 - z^2/a^6 + (6*z^2)/a^4 - (14*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 - z^4/a^6 + (6*z^4)/a^4 - (12*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 243] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 244] -> -2*a^2 + 7*a^4 - 4*a^6 - 4*a^2*z^2 + 
   13*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + 9*a^4*z^4 - a^8*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 245] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 - z^2/a^6 + (5*z^2)/a^4 - (13*z^2)/a^2 - 
   4*a^2*z^2 + 12*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[12, Alternating, 246] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (14*z^2)/a^4 - (10*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + (11*z^4)/a^4 - 
   (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, Alternating, 247] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 248] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - 2*z^2 + 
   z^2/a^2 - a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 249] -> 
  a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 - z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[12, Alternating, 250] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (11*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 251] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[12, Alternating, 252] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + z^2/a^10 + (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (3*z^4)/a^10 - (3*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 253] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2/a^10 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[12, Alternating, 254] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[12, Alternating, 255] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 + z^2/a^2 - z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[12, Alternating, 256] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 257] -> 
  1 - z^2 + z^2/a^8 - z^2/a^6 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[12, Alternating, 258] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 
   12*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 11*z^4 + 
   z^4/a^4 - (8*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 259] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[12, Alternating, 260] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 13*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 261] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[12, Alternating, 262] -> 
  7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 14*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 263] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 264] -> 
  -3 + 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 265] -> 
  a^(-2) - a^2 + a^4 + 6*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 266] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 267] -> 
  a^(-8) - 2/a^6 + 2/a^2 - z^2 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - 
   z^4/a^8 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 268] -> 7 - 3/a^2 - 3*a^2 + 13*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 269] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[12, Alternating, 270] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - z^2/a^4 - z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 271] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 11*z^2 - 
   (3*z^2)/a^2 - 13*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 11*z^4 - (3*z^4)/a^2 - 
   11*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 272] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^2 - 3*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[12, Alternating, 273] -> 3 - a^(-2) - a^2 + z^2 + z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[12, Alternating, 274] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 4*a^2*z^2 + 8*a^4*z^2 + 7*a^6*z^2 - 
   5*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 275] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 5*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 276] -> 
  2/a^14 - 5/a^12 + 4/a^8 + (3*z^2)/a^14 - (16*z^2)/a^12 + (10*z^2)/a^10 + 
   (12*z^2)/a^8 + z^4/a^14 - (13*z^4)/a^12 + (19*z^4)/a^10 + (13*z^4)/a^8 - 
   (3*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[12, Alternating, 277] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 + 
   z^2/a^14 - (7*z^2)/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^12 + (6*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 278] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 9*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 
   10*a^4*z^2 - 3*a^6*z^2 + 8*z^4 - z^4/a^2 - 10*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 279] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 280] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (14*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 281] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2/a^10 + 
   (5*z^2)/a^8 - (12*z^2)/a^6 + (14*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + (12*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[12, Alternating, 282] -> 
  a^(-2) - a^2 + a^4 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 283] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 5*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 284] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 285] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 286] -> a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[12, Alternating, 287] -> a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - 4*a^2*z^2 + 
   9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 2*z^4 - 7*a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 288] -> 2*a^2 - 2*a^6 + a^8 + z^2 - 3*a^2*z^2 + 
   6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*z^4 - 7*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 289] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2/a^10 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 290] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^6 + 
   z^2/a^4 - (9*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 + 
   z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 291] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[12, Alternating, 292] -> 2 - a^(-2) + a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 293] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) + z^2/a^14 - 
   (8*z^2)/a^12 + (5*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^12 + 
   (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 294] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   3*a^2*z^2 + 5*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[12, Alternating, 295] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + z^2/a^14 - (4*z^2)/a^12 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^12 + (3*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 296] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 297] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 5*a^2*z^2 + 
   11*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 298] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 11*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   11*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 299] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 
   4/a^2 + 3*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + 
   z^4 + z^4/a^8 - (7*z^4)/a^6 + (11*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 300] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 301] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 6*z^2 - 
   z^2/a^4 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[12, Alternating, 302] -> 
  -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - z^4 + 2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 303] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 304] -> 2 - 3*a^2 + 5*a^4 - 5*a^6 + 2*a^8 + 3*z^2 - 
   9*a^2*z^2 + 11*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + z^4 - 8*a^2*z^4 + 
   10*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 305] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 
   2*a^2 + 11*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (12*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 - z^4/a^6 + (7*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 306] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 3*z^2 + z^2/a^2 + a^2*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[12, Alternating, 307] -> 2*a^2 - a^4 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 308] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 309] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[12, Alternating, 310] -> 
  2 - 2*a^2 + a^4 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 311] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 312] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[12, Alternating, 313] -> 
  -a^(-8) + 2/a^4 - z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - 
   z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[12, Alternating, 314] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (4*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 315] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   (6*z^2)/a^8 - (11*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 + 
   z^4/a^8 - (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 316] -> 3 - 4*a^2 + 2*a^4 + 8*z^2 - (3*z^2)/a^2 - 
   9*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 317] -> -a^2 + 4*a^4 - a^6 - a^8 - 3*a^2*z^2 + 
   10*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + 8*a^4*z^4 - a^8*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 318] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 6*z^2 - z^2/a^2 - 13*a^2*z^2 + 13*a^4*z^2 - 
   3*a^6*z^2 + 6*z^4 - z^4/a^2 - 12*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 319] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^14 - (11*z^2)/a^12 + 
   (9*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^12 + (10*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 320] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - 
   (4*z^2)/a^12 + (2*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 321] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 322] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 323] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 324] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 325] -> 1 - a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   7*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 326] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 327] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 328] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 329] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2/a^10 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 330] -> 1 + z^2 + z^2/a^10 - z^2/a^6 - z^2/a^4 - 
   z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 331] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 - 2*a^2*z^2 + 
   12*a^4*z^2 - 13*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 11*a^4*z^4 - 
   11*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[12, Alternating, 332] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 - z^2 + 
   4*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - z^4 + 2*a^2*z^4 - 
   3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[12, Alternating, 333] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 334] -> 
  a^2 + a^4 - a^6 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   7*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[12, Alternating, 335] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 336] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 + 
   (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 337] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 338] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^8 - z^2/a^6 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 339] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^2 - z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 340] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 341] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 342] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 343] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 344] -> 2/a^14 - 5/a^12 + 2/a^10 + 2/a^6 + z^2/a^14 - 
   (8*z^2)/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^12 + 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 345] -> a^(-14) - 2/a^12 - a^(-10) + 
   2/a^8 + a^(-4) - (3*z^2)/a^12 + z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 346] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 347] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - (3*z^2)/a^2 - 
   a^2*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[12, Alternating, 348] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + 
   a^6 + 4*z^2 - (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 349] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 8*a^4*z^2 - 10*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[12, Alternating, 350] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (5*z^2)/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (8*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 351] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 12*z^2 - (4*z^2)/a^2 - 12*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 12*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 
   5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[12, Alternating, 352] -> 
  1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 2*z^2 - 7*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 353] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 2*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 354] -> 
  2/a^8 - 6/a^6 + 5/a^4 - z^2 + z^2/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 - 
   z^2/a^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 355] -> 
  2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (8*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^12 + (7*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 356] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + a^(-4) - 
   (3*z^2)/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 357] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 + 
   2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[12, Alternating, 358] -> 1 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 359] -> -2 - a^(-4) + 3/a^2 + a^2 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 360] -> 1 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[12, Alternating, 361] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 362] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 - a^2*z^4 + 3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[12, Alternating, 363] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 6*a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[12, Alternating, 364] -> 
  3*a^4 - 2*a^6 + 2*z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   2*z^4 - 8*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 365] -> 6 - 2/a^2 - 4*a^2 + a^4 + 6*z^2 - 
   9*a^2*z^2 + 4*a^4*z^2 - 2*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 366] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[12, Alternating, 367] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + (3*z^2)/a^14 - (19*z^2)/a^12 + 
   (18*z^2)/a^10 + (9*z^2)/a^8 + z^4/a^14 - (14*z^4)/a^12 + (24*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[12, Alternating, 368] -> a^(-14) - 3/a^12 - a^(-10) + 
   4/a^8 + z^2/a^14 - (7*z^2)/a^12 + (2*z^2)/a^10 + (12*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^4)/a^12 + (5*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 369] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 13*a^4*z^2 + 39*a^6*z^2 - 17*a^8*z^2 - 
   16*a^4*z^4 + 51*a^6*z^4 - 17*a^8*z^4 - 7*a^4*z^6 + 31*a^6*z^6 - 
   7*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[12, Alternating, 370] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 4*a^2*z^2 + 
   5*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 14*a^6*z^4 - 
   5*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 371] -> -2*a^4 + 8*a^6 - 5*a^8 - 3*a^2*z^2 + 
   2*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 14*a^6*z^4 - 
   5*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 372] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - z^2 - a^2*z^2 + 
   7*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 373] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (8*z^2)/a^10 + (14*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, Alternating, 374] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 14*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 9*a^2*z^2 + 
   2*a^4*z^2 + 12*z^4 + z^4/a^4 - (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 375] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 7*a^2*z^2 + 15*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 - 
   5*a^2*z^4 + 14*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 376] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 2*z^2 + 10*a^4*z^2 - 2*a^8*z^2 - z^4 + 
   2*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[12, Alternating, 377] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 378] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, Alternating, 379] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 3*z^2 + 
   5*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + 4*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 380] -> -1 + 2*a^2 + a^4 - a^8 - z^2/a^2 + 3*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[12, Alternating, 381] -> -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 382] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   9*a^2*z^2 + 11*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + z^4 - 8*a^2*z^4 + 
   10*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 383] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 12*a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   11*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 384] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + 
   a^8 - 3*z^2 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 385] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 386] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[12, Alternating, 387] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[12, Alternating, 388] -> 
  2 - 2*a^2 + a^4 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 389] -> 
  3*a^4 - 2*a^6 - a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - 
   4*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 390] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 391] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^14 - 
   (11*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^12 + 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 392] -> a^(-14) - 3/a^12 - a^(-10) + 
   4/a^8 - (4*z^2)/a^12 + (2*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 393] -> -2/a^6 + 3/a^4 + (3*z^2)/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^10 + z^4/a^8 - (7*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 394] -> 
  -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 395] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[12, Alternating, 396] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   10*z^2 - z^2/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 - 3*a^2*z^2 + 11*z^4 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[12, Alternating, 397] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 
   2/a^4 - (4*z^2)/a^10 + (9*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 398] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (15*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (12*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 399] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - z^2 - 3*a^2*z^2 + 14*a^4*z^2 - 4*a^6*z^2 - 
   a^8*z^2 - z^4 + 10*a^4*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 400] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2 + 
   (4*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 + z^2/a^2 - z^4 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 401] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^4 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[12, Alternating, 402] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 403] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[12, Alternating, 404] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + 
   a^6 + 7*z^2 + z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   6*z^4 - (3*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[12, Alternating, 405] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - 
   2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 406] -> a^(-6) - a^(-4) + a^2 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[12, Alternating, 407] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[12, Alternating, 408] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 + (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 409] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 410] -> -a^(-8) + 2/a^4 + z^2/a^10 - z^2/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 411] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 412] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 413] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 5*z^2 - z^2/a^6 + 
   (7*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 414] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[12, Alternating, 415] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 416] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 417] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   2*z^2 - 8*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 418] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - z^2/a^2 - 
   7*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 419] -> a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 420] -> 2/a^14 - 5/a^12 + a^(-10) + 2/a^8 + a^(-6) + 
   z^2/a^14 - (9*z^2)/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 421] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 - (3*z^2)/a^12 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[12, Alternating, 422] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 
   7*z^2 + 11*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + 12*a^2*z^4 + 
   12*a^4*z^4 - 5*a^6*z^4 - z^6 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[12, Alternating, 423] -> -a^(-2) + 3*a^2 + a^4 - 2*a^6 - 
   (2*z^2)/a^2 + 8*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 424] -> 3 - 2/a^2 + a^2 - a^6 + 4*z^2 - (3*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 425] -> 1 - a^(-4) + a^(-2) + a^4 - a^6 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^2 + 
   2*a^2*z^4 + a^4*z^4, Knot[12, Alternating, 426] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 427] -> 
  7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 10*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 428] -> 4 - a^(-4) - 2*a^2 + 10*z^2 - (2*z^2)/a^4 - 
   5*a^2*z^2 + 10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 429] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 430] -> -a^2 + 4*a^4 - a^6 - a^8 - 3*a^2*z^2 + 
   8*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 431] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 + z^2/a^14 - 
   (7*z^2)/a^12 + (14*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^12 + (6*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 432] -> 2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) + 
   z^2/a^14 - (10*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^4)/a^12 + (9*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 433] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-6) - a^(-4) + a^(-2) - (4*z^2)/a^10 + 
   (9*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 + (5*z^4)/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 434] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 435] -> 7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 10*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 436] -> 5 - 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 10*z^2 - 
   (3*z^2)/a^2 - 10*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 8*z^4 - z^4/a^2 - 
   10*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 437] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - 
   a^6 - z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 438] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 439] -> 1 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   5*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 440] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2/a^8 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (4*z^2)/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[12, Alternating, 441] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 442] -> 
  2/a^14 - 7/a^12 + 5/a^10 + a^(-6) + z^2/a^14 - (10*z^2)/a^12 + 
   (10*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 443] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - 
   (3*z^2)/a^12 + z^2/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 444] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, Alternating, 445] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 11*z^2 - 
   (3*z^2)/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - z^4/a^2 - 
   11*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 446] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 447] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   a^6 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 448] -> a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[12, Alternating, 449] -> a^(-2) - a^2 + 2*a^6 - a^8 + 
   z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[12, Alternating, 450] -> 
  a^2 + a^8 - a^10 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - z^4 + 
   a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 451] -> 3 - a^(-2) - a^2 + 7*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 452] -> 6 - 2/a^2 - 4*a^2 + a^4 + 11*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 453] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 9*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (8*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 454] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, Alternating, 455] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   8*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 456] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 457] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - 
   9*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 458] -> 1 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 459] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 + a^2*z^2 + 
   3*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[12, Alternating, 460] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 4*z^2 - (4*z^2)/a^2 - 3*a^4*z^2 + 
   2*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 461] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 + 
   z^4/a^8 - (8*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 462] -> 7 + 2/a^4 - 5/a^2 - 5*a^2 + 2*a^4 + 13*z^2 + 
   (3*z^2)/a^4 - (11*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 11*z^4 + z^4/a^4 - 
   (8*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 463] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 
   z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, Alternating, 464] -> 5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 12*z^2 - 
   (4*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 12*z^4 - (3*z^4)/a^2 - 
   10*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 465] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 466] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + 8*a^4*z^2 - 
   11*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[12, Alternating, 467] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 468] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 469] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 13*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 470] -> a^(-8) - 4/a^6 + 4/a^4 + z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 471] -> 1 + a^(-6) - a^(-4) - a^4 + a^6 + z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[12, Alternating, 472] -> 2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 + 
   4*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + 5*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[12, Alternating, 473] -> 1 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[12, Alternating, 474] -> 
  2*a^2 - 2*a^6 + a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 
   z^4 - 3*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 475] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 
   8*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 476] -> 
  1 - 2*a^2 + 6*a^4 - 6*a^6 + 2*a^8 + 2*z^2 - 7*a^2*z^2 + 13*a^4*z^2 - 
   11*a^6*z^2 + 3*a^8*z^2 + z^4 - 7*a^2*z^4 + 11*a^4*z^4 - 8*a^6*z^4 + 
   a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[12, Alternating, 477] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^4 + 
   a^6 - 4*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6, Knot[12, Alternating, 478] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 479] -> -1 + a^(-2) + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 480] -> 1 + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 481] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 2*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, Alternating, 482] -> a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[12, Alternating, 483] -> 3*a^2 - 3*a^4 + a^6 + a^2*z^2 - 2*a^6*z^2 + 
   a^8*z^2 + z^4 - 4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 484] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 485] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2 - 6*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 
   4*z^4 - z^4/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 486] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^4 - z^2/a^2 + a^4*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 487] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 488] -> 
  5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 12*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 489] -> 
  1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 - z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 490] -> 
  2/a^14 - 5/a^12 + a^(-10) + 2/a^8 + a^(-6) + z^2/a^14 - (10*z^2)/a^12 + 
   (7*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^12 + (9*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 491] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 492] -> 
  2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 2*z^2 + z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 493] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 11*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 494] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 2*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 495] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - (5*z^2)/a^6 + (11*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[12, Alternating, 496] -> -1 - a^(-6) + 3/a^2 + z^2/a^4 + (2*z^2)/a^2 + 
   2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 497] -> 4 - a^(-2) - 3*a^2 + a^4 + 12*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 12*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 498] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 499] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 13*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 500] -> 3 + 2/a^4 - 4/a^2 + 7*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 501] -> 3 + 2/a^4 - 4/a^2 + 8*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (13*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 502] -> -2/a^6 + 3/a^4 + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 503] -> 3 - 4*a^2 + 2*a^4 + 12*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 504] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[12, Alternating, 505] -> 4*a^4 - 4*a^6 + a^8 + 2*z^2 - 
   7*a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 3*z^4 - 10*a^2*z^4 + 
   11*a^4*z^4 - 3*a^6*z^4 + z^6 - 5*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 506] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 10*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 11*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 507] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 508] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^10 - (5*z^2)/a^6 + (3*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 509] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 510] -> 1 - 2*z^2 + z^2/a^4 + a^4*z^2 - 4*z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 511] -> -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 
   9*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 512] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   10*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[12, Alternating, 513] -> 2*a^4 - a^8 - z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 514] -> 
  3*a^4 - 2*a^6 - z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 
   5*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 515] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 8*z^2 - z^2/a^6 + 
   (7*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 516] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 517] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (9*z^2)/a^2 + z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 518] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[12, Alternating, 519] -> -a^(-8) + 2/a^4 + (4*z^2)/a^10 - 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 520] -> 
  -2/a^6 + 3/a^4 + (2*z^2)/a^10 - (5*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 521] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (9*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - (8*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, Alternating, 522] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 + 
   z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 523] -> 1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[12, Alternating, 524] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 525] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + z^2/a^2 + 5*a^4*z^2 - 3*a^6*z^2 - 
   2*z^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 526] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 527] -> -2/a^6 + 3/a^4 - (2*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 528] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   8*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - z^4/a^2 - 11*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 529] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 530] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[12, Alternating, 531] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 532] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + (2*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[12, Alternating, 533] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 
   4*a^2*z^2 + 8*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[12, Alternating, 534] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - z^2 - a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 535] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - 
   2*a^6*z^2 + 7*z^4 - z^4/a^2 - 11*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 536] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (11*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + (10*z^4)/a^4 - 
   (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, Alternating, 537] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 538] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^4 + 
   (4*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 539] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 540] -> -2/a^6 + 3/a^4 + z^2/a^10 + z^2/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 541] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 542] -> 
  -2/a^6 + 3/a^4 + z^2 + z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 543] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 544] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 10*z^2 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 10*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[12, Alternating, 545] -> 1 - a^(-6) + 2/a^2 - a^2 + z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 546] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 547] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (8*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 548] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^8 + 
   z^2/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[12, Alternating, 549] -> 1 + a^(-6) - 2/a^2 + a^2 + z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2, Knot[12, Alternating, 550] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 551] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^10 - 
   z^2/a^6 + z^2/a^2 - z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 552] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 553] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 554] -> 
  3 - 3*a^2 + a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^4*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 555] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[12, Alternating, 556] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 557] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + z^2/a^10 + z^2/a^8 - (4*z^2)/a^6 - 
   z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 558] -> a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[12, Alternating, 559] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 560] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 561] -> -3/a^6 + 5/a^4 - a^(-2) - z^2/a^10 + 
   (4*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^8 - 
   (9*z^4)/a^6 + (12*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[12, Alternating, 562] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   z^6/a^4 + z^6/a^2, Knot[12, Alternating, 563] -> 
  -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^10 - (3*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 564] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 565] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 2*a^2*z^2 + 
   11*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 11*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[12, Alternating, 566] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - z^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[12, Alternating, 567] -> 
  3 + 2/a^4 - 4/a^2 + 7*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 - z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 568] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 569] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - a^2*z^2 + 10*a^4*z^2 - 10*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 10*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[12, Alternating, 570] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 
   z^4 + a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 571] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 + z^4/a^6 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 572] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   5*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 573] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 + z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 574] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + (3*z^2)/a^14 - (17*z^2)/a^12 + 
   (15*z^2)/a^10 + (10*z^2)/a^8 + z^4/a^14 - (14*z^4)/a^12 + (23*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[12, Alternating, 575] -> a^(-14) - 4/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) + z^2/a^14 - (7*z^2)/a^12 + (4*z^2)/a^10 + (9*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^4)/a^12 + (5*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 576] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 13*a^4*z^2 + 38*a^6*z^2 - 17*a^8*z^2 - 
   16*a^4*z^4 + 51*a^6*z^4 - 17*a^8*z^4 - 7*a^4*z^6 + 31*a^6*z^6 - 
   7*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[12, Alternating, 577] -> -a^4 + 6*a^6 - 4*a^8 - 4*a^2*z^2 + 4*a^4*z^2 + 
   15*a^6*z^2 - 8*a^8*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 14*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 578] -> 4*a^6 - 3*a^8 - 4*a^2*z^2 + 6*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 579] -> 4 - a^(-2) - 3*a^2 + a^4 + 11*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 11*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 580] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 6*a^2*z^2 + 
   10*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 - 5*a^2*z^4 + 12*a^4*z^4 + 
   12*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[12, Alternating, 581] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*z^2 + 8*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 
   z^4 + 2*a^2*z^4 + 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[12, Alternating, 582] -> -a^2 + 4*a^4 - a^6 - a^8 - 2*z^2 + 
   9*a^4*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 583] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 8*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   10*a^2*z^2 + 3*a^4*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 584] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 585] -> 2 + a^(-4) - 2/a^2 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[12, Alternating, 586] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + z^2/a^14 - (9*z^2)/a^12 + 
   (7*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^12 + (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 587] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 588] -> 1 + 3*z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 589] -> 4*a^6 - 3*a^8 - 2*a^2*z^2 + 2*a^4*z^2 + 
   12*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 590] -> a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^10 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 591] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 
   2/a^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[12, Alternating, 592] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 593] -> 
  2 - 2*a^2 + a^4 - z^2 + z^2/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 594] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 2*z^2 + 
   3*a^2*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 595] -> 2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[12, Alternating, 596] -> 
  2*a^4 - a^8 - z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + 
   2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4, Knot[12, Alternating, 597] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[12, Alternating, 598] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[12, Alternating, 599] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 600] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^10 + z^2/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 601] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + z^2/a^10 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[12, Alternating, 602] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + z^2/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 - (2*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 603] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 - (2*z^2)/a^4 - a^2*z^2 + z^4 - 
   z^4/a^6 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 604] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 605] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 4*z^2 + z^2/a^2 - 
   11*a^2*z^2 + 5*a^4*z^2 - 3*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 606] -> a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[12, Alternating, 607] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 608] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 609] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 - 2*a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - 
   z^4 + 9*a^4*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 610] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - 
   (4*z^2)/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 611] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 612] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + z^4 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, Knot[12, Alternating, 613] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 2*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[12, Alternating, 614] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 615] -> -3/a^10 + 3/a^8 + a^(-6) + z^2/a^14 - 
   (6*z^2)/a^12 + (2*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^12 + 
   (7*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 616] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 617] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   10*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 618] -> 
  -3/a^6 + 5/a^4 - a^(-2) - z^2/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[12, Alternating, 619] -> 1 + z^2 + z^2/a^10 - z^2/a^6 - z^2/a^4 - 
   z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 620] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[12, Alternating, 621] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 
   3*z^2 - (2*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 622] -> 2 - a^(-2) + a^4 - a^6 + 3*z^2 - z^2/a^4 + 
   2*a^4*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, Alternating, 623] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 624] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 5*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 625] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[12, Alternating, 626] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 627] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 628] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 629] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 630] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 631] -> 1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 632] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[12, Alternating, 633] -> -2/a^6 + 3/a^4 - z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 634] -> 
  4*a^6 - 3*a^8 - 2*z^2 + a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   2*a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[12, Alternating, 635] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   4*z^2 - z^2/a^4 + z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[12, Alternating, 636] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2/a^2 + a^2*z^2 + 
   6*a^4*z^2 - a^8*z^2 + z^4 + 2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[12, Alternating, 637] -> a^2 + a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 638] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 639] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 5*z^2 - z^2/a^6 + 
   (10*z^2)/a^4 - (12*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (11*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 640] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 4*z^2 + z^2/a^6 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[12, Alternating, 641] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 
   10*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + 12*a^2*z^4 + 12*a^4*z^4 - 
   5*a^6*z^4 - z^6 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[12, Alternating, 642] -> -2 + 4*a^2 + a^4 - 2*a^6 - z^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 643] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - 
   (3*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 644] -> 1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[12, Alternating, 645] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 646] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 647] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 + 
   (3*z^2)/a^14 - (15*z^2)/a^12 + (10*z^2)/a^10 + (12*z^2)/a^8 + z^4/a^14 - 
   (13*z^4)/a^12 + (19*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[12, Alternating, 648] -> a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 + 
   z^2/a^14 - (7*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^12 + (6*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 649] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 8*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 
   9*a^4*z^2 - 3*a^6*z^2 + 8*z^4 - z^4/a^2 - 9*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 650] -> 2 - a^(-2) + a^4 - a^6 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 651] -> 
  3 + a^(-8) - a^(-6) + a^(-4) - 3/a^2 + 4*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 + z^4 + z^4/a^8 - (8*z^4)/a^6 + (8*z^4)/a^4 - 
   (9*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, Alternating, 652] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - 
   2*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 653] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[12, Alternating, 654] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[12, Alternating, 655] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - z^2/a^2 + 
   8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[12, Alternating, 656] -> 
  a^2 + a^6 - a^8 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 657] -> 7 - 3/a^2 - 3*a^2 + 13*z^2 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 658] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 659] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 + 
   z^2/a^14 - (8*z^2)/a^12 + (3*z^2)/a^10 + (13*z^2)/a^8 + z^2/a^6 - 
   (4*z^4)/a^12 + (7*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 660] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^10 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 661] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 662] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 663] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 - (2*z^4)/a^4 - 
   3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[12, Alternating, 664] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, Alternating, 665] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^8 - 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 666] -> 
  a^(-8) - a^(-6) + a^2 - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 667] -> 
  7 - 2/a^4 - 4*a^2 + 15*z^2 - (5*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 + 
   14*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 668] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 12*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 11*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 669] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 + z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 670] -> 3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 671] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - (2*z^2)/a^8 - (2*z^2)/a^6 + (14*z^2)/a^4 - 
   (5*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[12, Alternating, 672] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 673] -> 2 + a^(-4) - 2/a^2 + 5*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 674] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 675] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - (7*z^2)/a^6 + 
   (16*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^8 + (12*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[12, Alternating, 676] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^8 + 
   z^2/a^6 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 677] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 678] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^6 + z^2/a^2 - 2*a^2*z^2 + 2*z^4 - 
   z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 679] -> a^(-14) - 4/a^12 + 3/a^10 + a^(-4) - 
   (3*z^2)/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[12, Alternating, 680] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 5*z^2 - z^2/a^6 + 
   (10*z^2)/a^4 - (12*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (11*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 681] -> 4 + a^(-8) - 2/a^6 + 4/a^4 - 
   6/a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (13*z^2)/a^2 + 
   z^4 + z^4/a^8 - (7*z^4)/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 682] -> 
  -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 5*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 683] -> 
  4 + a^(-8) - a^(-6) + 2/a^4 - 5/a^2 + 4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (8*z^2)/a^4 - (12*z^2)/a^2 + z^4 + z^4/a^8 - (8*z^4)/a^6 + (9*z^4)/a^4 - 
   (9*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, Alternating, 684] -> -1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) + 
   2*a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 685] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 686] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 687] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - 
   z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 688] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - (7*z^2)/a^6 + 
   (16*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^8 + (12*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[12, Alternating, 689] -> -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 
   4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 690] -> -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 2*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[12, Alternating, 691] -> a^(-8) - a^(-6) + a^(-4) - a^(-2) + a^4 - 
   z^2 - (2*z^2)/a^6 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^4 + z^4/a^2, 
 Knot[12, Alternating, 692] -> -4*a^2 + 12*a^4 - 8*a^6 + a^8 - 8*a^2*z^2 + 
   22*a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 - 5*a^2*z^4 + 16*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 693] -> 4 - 8*a^2 + 9*a^4 - 6*a^6 + 2*a^8 + 4*z^2 - 
   14*a^2*z^2 + 15*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + z^4 - 9*a^2*z^4 + 
   11*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 694] -> a^(-12) - 5/a^10 + 8/a^8 - 7/a^6 + 
   4/a^4 - (3*z^2)/a^10 + (11*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 695] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 696] -> 2 - 2*a^2 + a^4 + 6*z^2 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 697] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 698] -> 3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - z^2/a^2 - 
   11*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 699] -> 3 - 5*a^2 + 4*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 700] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 14*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 701] -> -a^2 + 5*a^4 - 3*a^6 - 3*a^2*z^2 + 8*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 702] -> 1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + 2*z^2 - 
   7*a^2*z^2 + 12*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + z^4 - 7*a^2*z^4 + 
   11*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 703] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 - 
   3*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + z^4 - 4*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 704] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 705] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 706] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 13*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 707] -> 1 - a^2 + 2*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 708] -> 6 - 2/a^2 - 4*a^2 + a^4 + 14*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 709] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - z^2/a^2 - 
   10*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 710] -> 1 + a^4 - 2*a^6 + a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - 4*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 711] -> 1 - a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   7*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 712] -> 1 + a^2 - 2*a^4 + a^6 - a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + z^4 - 4*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 713] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + 
   4*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 714] -> 2 - 2*a^2 + a^4 - 2*z^2 + (3*z^2)/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 
   5*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 715] -> a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[12, Alternating, 716] -> 
  -a^4 + 6*a^6 - 4*a^8 - 10*a^4*z^2 + 31*a^6*z^2 - 14*a^8*z^2 - 15*a^4*z^4 + 
   46*a^6*z^4 - 16*a^8*z^4 - 7*a^4*z^6 + 30*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 
   9*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[12, Alternating, 717] -> 
  4*a^6 - 3*a^8 - 3*a^2*z^2 + 3*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 - 
   4*a^2*z^4 + 7*a^4*z^4 + 13*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 718] -> 
  a^4 + 2*a^6 - 2*a^8 - 4*a^2*z^2 + 7*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 - 
   4*a^2*z^4 + 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 719] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 - a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 
   z^4 + a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[12, Alternating, 720] -> 2*a^4 - a^8 - 3*a^2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 721] -> a^2 + a^6 - a^8 - z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 722] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (10*z^2)/a^10 - (25*z^2)/a^8 + (20*z^2)/a^6 + 
   (15*z^4)/a^10 - (41*z^4)/a^8 + (21*z^4)/a^6 + (7*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[12, Alternating, 723] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (6*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^10 - 
   (12*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 724] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^10 - (6*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 725] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 726] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (4*z^2)/a^10 - (6*z^2)/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 727] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 728] -> 
  4 - a^(-4) - 2*a^2 + 8*z^2 - (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   9*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 729] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[12, Alternating, 730] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 731] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[12, Alternating, 732] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   3*a^2*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 733] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[12, Alternating, 734] -> 
  1 + 3*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 735] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   z^2/a^2 - z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 736] -> -2 + 2/a^2 + a^4 - 6*z^2 + (2*z^2)/a^4 - 
   a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[12, Alternating, 737] -> 
  3*a^4 - 2*a^6 - 4*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 738] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[12, Alternating, 739] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (2*z^2)/a^10 - z^2/a^8 - (8*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 740] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[12, Alternating, 741] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + z^2/a^10 + z^2/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (8*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 742] -> 
  3 - 4*a^2 + 2*a^4 - 3*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 + 
   (4*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 743] -> 
  -1 + a^(-4) + a^4 - 3*z^2 + z^2/a^6 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^4 - (2*z^4)/a^2 - a^2*z^4, Knot[12, Alternating, 744] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + 
   a^2*z^4 + a^4*z^4 + a^6*z^4, Knot[12, Alternating, 745] -> 
  1 + a^(-10) - 2/a^8 + a^(-6) + z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^2 - 
   z^4/a^8 - z^4/a^6 - z^4/a^4 - z^4/a^2, Knot[12, Alternating, 746] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 747] -> 
  1 - a^2 + 2*a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 748] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^6 - (5*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[12, Alternating, 749] -> 2*a^4 - a^8 - 2*z^2 + a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 6*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 750] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2 + 
   z^2/a^10 - (2*z^2)/a^6 + (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[12, Alternating, 751] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[12, Alternating, 752] -> a^(-6) - a^(-4) + a^2 + z^2/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2, Knot[12, Alternating, 753] -> 
  a^2 + a^6 - a^8 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   z^4 + 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4, Knot[12, Alternating, 754] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 755] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 756] -> 3*a^4 - 2*a^6 + 4*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 757] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 + z^2/a^6 + 
   (5*z^2)/a^4 - (10*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 758] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[12, Alternating, 759] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + 7*a^2*z^2 + 
   11*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + 11*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 - 
   z^6 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[12, Alternating, 760] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 761] -> -1 + 3*a^2 - a^6 - (2*z^2)/a^2 + 6*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[12, Alternating, 762] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (6*z^2)/a^10 - (7*z^2)/a^8 - 
   (8*z^2)/a^6 + (10*z^2)/a^4 + (5*z^4)/a^10 - (11*z^4)/a^8 - (11*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 763] -> a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + 
   a^(-2) + (3*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 764] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + (2*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 765] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 766] -> 
  2 - 2*a^2 + a^4 + 6*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 767] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[12, Alternating, 768] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 769] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - z^2 - 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 770] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 771] -> 3*a^4 - 2*a^6 - z^2 - 2*a^2*z^2 + 10*a^4*z^2 - 
   3*a^6*z^2 - a^8*z^2 - z^4 + 9*a^4*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[12, Alternating, 772] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   3*z^2 + z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[12, Alternating, 773] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^8 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[12, Alternating, 774] -> a^2 + a^4 - a^6 + z^2 - z^2/a^4 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[12, Alternating, 775] -> 1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[12, Alternating, 776] -> 
  5 - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 777] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 778] -> 
  a^(-2) - a^2 + a^4 + z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 779] -> 
  a^2 + a^4 - a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 780] -> 
  a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + z^2/a^10 + z^2/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^6 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 781] -> 
  2*a^2 - a^4 - z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   z^4 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 782] -> a^(-2) - a^2 + a^4 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^2, Knot[12, Alternating, 783] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^8 - z^2/a^6 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^6/a^4 + z^6/a^2, Knot[12, Alternating, 784] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 12*z^2 - (3*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 
   11*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 785] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^2 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[12, Alternating, 786] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[12, Alternating, 787] -> -1 + 3*a^2 - a^6 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   a^4*z^4, Knot[12, Alternating, 788] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 789] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 16*z^2 - 
   (4*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 + 14*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   5*a^2*z^4 + 6*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 790] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 4*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 791] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 792] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + a^2*z^4, Knot[12, Alternating, 793] -> 
  2*a^2 - a^4 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 794] -> 
  a^(-10) + a^(-8) - 7/a^6 + 6/a^4 + (4*z^2)/a^10 - (2*z^2)/a^8 - 
   (14*z^2)/a^6 + (11*z^2)/a^4 + (4*z^4)/a^10 - (7*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 795] -> a^(-10) - 3/a^6 + a^(-4) + 2/a^2 + 
   (2*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + (3*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 796] -> 
  a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + (3*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[12, Alternating, 797] -> 1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[12, Alternating, 798] -> 
  a^(-10) - 4/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 799] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 800] -> a^(-10) - a^(-8) + a^(-6) - 4/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[12, Alternating, 801] -> 5/a^8 - 12/a^6 + 8/a^4 + 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (20*z^2)/a^6 + (12*z^2)/a^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 802] -> 
  2 + a^(-10) - a^(-8) - a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - z^4/a^8 - z^4/a^6 - z^4/a^4 - z^4/a^2, 
 Knot[12, Alternating, 803] -> a^(-10) - a^(-8) + a^2 - z^2 - z^2/a^8 - 
   z^2/a^6 - z^2/a^4 - z^2/a^2, Knot[12, Alternating, 804] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + (4*z^2)/a^8 - (11*z^2)/a^6 + 
   (11*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[12, Alternating, 805] -> -a^2 + 5*a^4 - 3*a^6 + 5*a^4*z^2 - 
   a^6*z^2 + 6*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 + 5*a^2*z^6 - 16*a^4*z^6 + 
   5*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[12, Alternating, 806] -> 3*a^4 - 2*a^6 + 2*a^2*z^2 + a^6*z^2 + 2*z^4 - 
   a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[12, Alternating, 807] -> 
  a^2 + a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - 6*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[12, Alternating, 808] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + 
   z^2/a^2 + a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   z^6 - a^2*z^6 - a^4*z^6, Knot[12, Alternating, 809] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 810] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (2*z^2)/a^6 + (3*z^2)/a^4 - z^4 - 
   z^4/a^8 + (3*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 811] -> 3/a^14 - 7/a^12 + a^(-10) + 4/a^8 + 
   (4*z^2)/a^14 - (19*z^2)/a^12 + (11*z^2)/a^10 + (12*z^2)/a^8 + z^4/a^14 - 
   (14*z^4)/a^12 + (19*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[12, Alternating, 812] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 813] -> 4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + 
   (4*z^2)/a^14 - (23*z^2)/a^12 + (19*z^2)/a^10 + (9*z^2)/a^8 + z^4/a^14 - 
   (15*z^4)/a^12 + (24*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[12, Alternating, 814] -> 2/a^14 - 4/a^12 - 2/a^10 + 5/a^8 + z^2/a^14 - 
   (8*z^2)/a^12 + z^2/a^10 + (12*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^12 + 
   (5*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 815] -> -7 + 16*a^2 - 8*a^4 - 20*z^2 + 
   48*a^2*z^2 - 20*a^4*z^2 - 18*z^4 + 56*a^2*z^4 - 18*a^4*z^4 - 7*z^6 + 
   32*a^2*z^6 - 7*a^4*z^6 - z^8 + 9*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 816] -> -2/a^2 + 8*a^2 - 5*a^4 + 5*z^2 - (6*z^2)/a^2 + 
   17*a^2*z^2 - 9*a^4*z^2 + 9*z^4 - (4*z^4)/a^2 + 15*a^2*z^4 - 5*a^4*z^4 + 
   5*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 817] -> 3/a^14 - 7/a^12 + a^(-10) + 4/a^8 + 
   (4*z^2)/a^14 - (19*z^2)/a^12 + (11*z^2)/a^10 + (12*z^2)/a^8 + z^4/a^14 - 
   (14*z^4)/a^12 + (19*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[12, Alternating, 818] -> 7 + 2/a^4 - 5/a^2 - 5*a^2 + 2*a^4 + 14*z^2 + 
   (4*z^2)/a^4 - (14*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 819] -> 5 - 2/a^2 - 2*a^2 + z^2/a^2 + a^2*z^2 - 
   15*z^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[12, Alternating, 820] -> 
  3 - a^(-2) - a^2 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[12, Alternating, 821] -> 
  1 - 2*z^2 + z^2/a^4 + a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[12, Alternating, 822] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (5*z^2)/a^10 - (9*z^2)/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 823] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (2*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 824] -> 
  -6 + 14*a^2 - 7*a^4 - 19*z^2 + 45*a^2*z^2 - 19*a^4*z^2 - 18*z^4 + 
   55*a^2*z^4 - 18*a^4*z^4 - 7*z^6 + 32*a^2*z^6 - 7*a^4*z^6 - z^8 + 
   9*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[12, Alternating, 825] -> 
  -2 - a^(-2) + 9*a^2 - 5*a^4 + 2*z^2 - (5*z^2)/a^2 + 18*a^2*z^2 - 
   9*a^4*z^2 + 8*z^4 - (4*z^4)/a^2 + 15*a^2*z^4 - 5*a^4*z^4 + 5*z^6 - 
   z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 826] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 + 8*z^2 - 
   (7*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 12*z^4 - (5*z^4)/a^2 + 13*a^2*z^4 - 
   5*a^4*z^4 + 6*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 827] -> 5 - 3/a^2 + a^2 - 2*a^4 + 10*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 8*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 828] -> 2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - 
   (10*z^2)/a^12 + (6*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^12 + 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 829] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 
   2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 830] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 4*z^2 - (4*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 831] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 4*z^2 - (4*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 832] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 833] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 4*z^2 + z^2/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 834] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[12, Alternating, 835] -> -5 + 12*a^2 - 6*a^4 - 17*z^2 + 40*a^2*z^2 - 
   17*a^4*z^2 - 17*z^4 + 51*a^2*z^4 - 17*a^4*z^4 - 7*z^6 + 31*a^2*z^6 - 
   7*a^4*z^6 - z^8 + 9*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 836] -> -1 - a^(-2) + 7*a^2 - 4*a^4 + 3*z^2 - 
   (5*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 8*z^4 - (4*z^4)/a^2 + 14*a^2*z^4 - 
   5*a^4*z^4 + 5*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 837] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 9*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 838] -> 4/a^10 - 11/a^8 + 8/a^6 + (14*z^2)/a^10 - 
   (36*z^2)/a^8 + (24*z^2)/a^6 + (16*z^4)/a^10 - (47*z^4)/a^8 + 
   (22*z^4)/a^6 + (7*z^6)/a^10 - (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[12, Alternating, 839] -> 
  3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + (7*z^2)/a^10 - (14*z^2)/a^8 + z^2/a^6 + 
   (7*z^2)/a^4 + (5*z^4)/a^10 - (13*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 840] -> 2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 841] -> 
  2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 842] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 843] -> 2/a^10 - 4/a^8 + 2/a^6 - a^(-4) + 2/a^2 + 
   (3*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[12, Alternating, 844] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 845] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 846] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 847] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 848] -> 
  -a^2 + 5*a^4 - 3*a^6 - 4*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 
   4*a^2*z^4 + 10*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 849] -> 
  3*a^4 - 2*a^6 - z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 
   5*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 850] -> -a^(-6) + a^(-4) + a^(-2) + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 + (11*z^4)/a^6 - (28*z^4)/a^4 + (11*z^4)/a^2 + 
   (6*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[12, Alternating, 851] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 3*z^4 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[12, Alternating, 852] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 3*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[12, Alternating, 853] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[12, Alternating, 854] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[12, Alternating, 855] -> 2 + a^(-4) - 2/a^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[12, Alternating, 856] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[12, Alternating, 857] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 7*a^2*z^2 + 4*a^4*z^2 + 3*z^4 - 
   7*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[12, Alternating, 858] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[12, Alternating, 859] -> 2*a^4 - a^8 - 3*a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 - 10*a^4*z^4 + 29*a^6*z^4 - 11*a^8*z^4 - 6*a^4*z^6 + 
   23*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[12, Alternating, 860] -> a^2 + a^6 - a^8 - a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 861] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - a^2*z^2 + 
   a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 862] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 863] -> 
  1 - a^4 + 2*a^6 - a^8 - z^2 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[12, Alternating, 864] -> 1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   7*z^4 + 16*a^2*z^4 - 7*a^4*z^4 - 5*z^6 + 17*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[12, Alternating, 865] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[12, Alternating, 866] -> a^2 + a^4 - a^6 + z^2 + a^6*z^2 + 
   2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[12, Alternating, 867] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 868] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^2 + 
   a^2*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 869] -> 
  -a^2 + 5*a^4 - 3*a^6 + 2*a^2*z^2 + a^4*z^2 + a^6*z^2 + 7*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 + 5*a^2*z^6 - 17*a^4*z^6 + 5*a^6*z^6 + a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[12, Alternating, 870] -> 
  3*a^4 - 2*a^6 + 2*z^2 - 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   5*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[12, Alternating, 871] -> 
  -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - 4*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   6*a^2*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[12, Alternating, 872] -> 3*a^4 - 2*a^6 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[12, Alternating, 873] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 + z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + 
   a^2*z^2 + z^4/a^6 - (10*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[12, Alternating, 874] -> 3*a^4 - 2*a^6 + z^2 - a^2*z^2 + 3*a^4*z^2 + 
   2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[12, Alternating, 875] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 876] -> 
  4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + (4*z^2)/a^14 - (26*z^2)/a^12 + 
   (26*z^2)/a^10 + (6*z^2)/a^8 + z^4/a^14 - (16*z^4)/a^12 + (29*z^4)/a^10 + 
   (11*z^4)/a^8 - (3*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[12, Alternating, 877] -> 2/a^14 - 5/a^12 + 4/a^8 + 
   z^2/a^14 - (9*z^2)/a^12 + (3*z^2)/a^10 + (13*z^2)/a^8 + z^2/a^6 - 
   (3*z^4)/a^12 + (6*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[12, Alternating, 878] -> 
  -6 + 14*a^2 - 7*a^4 - 17*z^2 + 41*a^2*z^2 - 17*a^4*z^2 - 17*z^4 + 
   51*a^2*z^4 - 17*a^4*z^4 - 7*z^6 + 31*a^2*z^6 - 7*a^4*z^6 - z^8 + 
   9*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[12, Alternating, 879] -> 
  1 - 2/a^2 + 6*a^2 - 4*a^4 + 4*z^2 - (5*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 
   8*z^4 - (4*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 880] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - (3*z^2)/a^12 - z^2/a^10 + 
   (7*z^2)/a^8 + (5*z^2)/a^6 + (2*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[12, Alternating, 881] -> -3 + 6*a^2 - 2*a^6 - 7*z^2 + 
   14*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + 13*a^2*z^4 + 7*a^4*z^4 - 
   4*a^6*z^4 - z^6 + 6*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[12, Alternating, 882] -> -a^(-2) + 4*a^2 - a^4 - a^6 + z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 883] -> a^2 + a^4 - a^6 + z^2/a^2 - a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[12, Alternating, 884] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 885] -> 
  1 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 886] -> 
  4 - 6*a^2 + 4*a^4 - 2*a^6 + a^8 + 4*z^2 - 14*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 + 3*z^4 - 12*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   5*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 887] -> 
  1 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 888] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 889] -> 2 - a^(-2) + a^2 - a^4 + z^2/a^2 + a^4*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 890] -> 
  3 - a^(-2) - a^2 + z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 891] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 892] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 
   z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 893] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 894] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 895] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 896] -> 7 - 3/a^2 - 3*a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[12, Alternating, 897] -> 2 - a^(-2) + a^2 - a^4 + z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[12, Alternating, 898] -> -5 + 12*a^2 - 6*a^4 - 15*z^2 + 
   36*a^2*z^2 - 15*a^4*z^2 - 14*z^4 + 43*a^2*z^4 - 14*a^4*z^4 - 6*z^6 + 
   26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 899] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 8*z^2 - 
   (6*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 900] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^14 - 
   (10*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^12 + 
   (8*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 901] -> -2 + 5*a^2 - a^4 - a^6 + z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 902] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^4 + 
   3*a^2*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[12, Alternating, 903] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (5*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (7*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 904] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 905] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - z^2 + z^2/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[12, Alternating, 906] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 7*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 907] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 908] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^4 - 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 909] -> 3/a^6 - 7/a^4 + 5/a^2 + (10*z^2)/a^6 - 
   (23*z^2)/a^4 + (11*z^2)/a^2 + (12*z^4)/a^6 - (34*z^4)/a^4 + (12*z^4)/a^2 + 
   (6*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[12, Alternating, 910] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 911] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 6*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (12*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 912] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 
   4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[12, Alternating, 913] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 12*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 914] -> -a^2 + 5*a^4 - 3*a^6 - z^2 - a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 - z^4 + 8*a^4*z^4 - a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 915] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 916] -> 
  -4 + 10*a^2 - 5*a^4 - 12*z^2 + 29*a^2*z^2 - 12*a^4*z^2 - 13*z^4 + 
   38*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[12, Alternating, 917] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + z^2 - (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 
   5*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 918] -> 
  -1 + 4*a^2 - 2*a^4 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 919] -> 
  2*a^2 - a^4 - z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[12, Alternating, 920] -> 
  -a^(-4) + 2/a^2 + (8*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 + (12*z^4)/a^6 - 
   (32*z^4)/a^4 + (12*z^4)/a^2 + (6*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[12, Alternating, 921] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 922] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + 2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 923] -> 3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 924] -> 
  2/a^10 - 4/a^8 + 3/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 925] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   7*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 926] -> 
  1 + 4*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 927] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[12, Alternating, 928] -> 
  2 - 2*a^2 + a^4 + 7*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   9*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[12, Alternating, 929] -> 
  2 + a^(-4) - 2/a^2 - z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[12, Alternating, 930] -> 
  3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 931] -> 2/a^10 - 4/a^8 + a^(-6) + a^(-4) + 
   a^(-2) + (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 932] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 11*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 933] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 934] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 935] -> 1 - a^2 + 2*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[12, Alternating, 936] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[12, Alternating, 937] -> 
  3/a^10 - 6/a^8 + a^(-6) + 3/a^4 + (7*z^2)/a^10 - (14*z^2)/a^8 + 
   (7*z^2)/a^4 + (5*z^4)/a^10 - (13*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 938] -> 2/a^10 - 3/a^8 - a^(-6) + 2/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 939] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2, 
 Knot[12, Alternating, 940] -> -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 
   4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, Alternating, 941] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 942] -> a^(-6) - a^(-4) + a^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[12, Alternating, 943] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 944] -> -2 - 3/a^4 + 6/a^2 - z^2 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 945] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[12, Alternating, 946] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (5*z^2)/a^10 - (11*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 947] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 948] -> 
  2 - a^(-6) + a^(-4) - a^2 + 4*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 949] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 950] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[12, Alternating, 951] -> 
  a^2 + a^4 - a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 952] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[12, Alternating, 953] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[12, Alternating, 954] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 955] -> 1 + z^2/a^6 - (2*z^2)/a^2 + 
   a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[12, Alternating, 956] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 957] -> 
  a^2 + a^6 - a^8 - z^2 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 
   a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 958] -> 3*a^4 - 2*a^6 - 2*a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 959] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   2*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 960] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   z^4/a^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 961] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 962] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 963] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 + 
   z^2/a^2 - 10*a^2*z^2 + 7*a^4*z^2 + z^4/a^2 - 9*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, Knot[12, Alternating, 964] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   4*z^4 - z^4/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 965] -> 
  a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 966] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 967] -> 
  2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 
   a^2*z^4 + a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[12, Alternating, 968] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 
   4*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 969] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[12, Alternating, 970] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   2*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 7*a^2*z^4 + 8*a^4*z^4 - 
   4*a^6*z^4 - z^6 + 5*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[12, Alternating, 971] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 972] -> a^(-2) - a^2 + a^4 - 3*z^2 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 973] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 + z^2/a^14 - 
   (8*z^2)/a^12 + z^2/a^10 + (15*z^2)/a^8 - (4*z^4)/a^12 + (7*z^4)/a^10 + 
   (14*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 974] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   (4*z^2)/a^12 + (2*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[12, Alternating, 975] -> 
  2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 2*z^2 + z^2/a^2 - 11*a^2*z^2 + 
   12*a^4*z^2 - 4*a^6*z^2 + z^4/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - z^6 - 
   3*a^2*z^6, Knot[12, Alternating, 976] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - 
   a^10 - a^2*z^2 + 8*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 - z^4 - a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + a^2*z^6 + 3*a^4*z^6, 
 Knot[12, Alternating, 977] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[12, Alternating, 978] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[12, Alternating, 979] -> -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 980] -> a^2 - a^4 + 3*a^6 - 2*a^8 - a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 981] -> -5 + 12*a^2 - 6*a^4 - 13*z^2 + 32*a^2*z^2 - 
   13*a^4*z^2 - 13*z^4 + 39*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 982] -> -1 - a^(-2) + 7*a^2 - 4*a^4 + z^2 - 
   (3*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 983] -> -2/a^6 + 3/a^4 + z^2/a^10 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (8*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 984] -> 
  4*a^6 - 3*a^8 - 6*a^4*z^2 + 22*a^6*z^2 - 10*a^8*z^2 - 11*a^4*z^4 + 
   34*a^6*z^4 - 12*a^8*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[12, Alternating, 985] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 - a^2*z^2 + 11*a^6*z^2 - 5*a^8*z^2 - 
   3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[12, Alternating, 986] -> 
  2*a^2 - a^4 + z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[12, Alternating, 987] -> -a^2 + 5*a^4 - 3*a^6 - 3*a^2*z^2 + 
   8*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 988] -> -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 
   9*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 989] -> 2*a^4 - a^8 - z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 990] -> 
  7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 10*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 991] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[12, Alternating, 992] -> a^(-4) - a^(-2) + a^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 993] -> 1 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 994] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 995] -> 2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - 
   (10*z^2)/a^12 + (4*z^2)/a^10 + (14*z^2)/a^8 - (4*z^4)/a^12 + 
   (8*z^4)/a^10 + (14*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 996] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + 
   a^(-6) - (4*z^2)/a^12 + (8*z^2)/a^8 + (4*z^2)/a^6 + (3*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[12, Alternating, 997] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 998] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 999] -> -6 + 14*a^2 - 7*a^4 - 15*z^2 + 
   37*a^2*z^2 - 15*a^4*z^2 - 14*z^4 + 43*a^2*z^4 - 14*a^4*z^4 - 6*z^6 + 
   26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 1000] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 + 6*z^2 - 
   (5*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 9*z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1001] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[12, Alternating, 1002] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + 21*a^2*z^4 - 
   8*a^4*z^4 - 5*z^6 + 18*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[12, Alternating, 1003] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 
   3*a^2*z^2 + 7*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[12, Alternating, 1004] -> 
  2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - (9*z^2)/a^12 + (3*z^2)/a^10 + 
   (13*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^12 + (7*z^4)/a^10 + (13*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 1005] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1006] -> 3 - a^(-2) - a^2 + 5*z^2 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1007] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 9*z^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 5*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 1008] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^4 + 
   a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[12, Alternating, 1009] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[12, Alternating, 1010] -> 1 - a^(-8) + 2/a^6 - a^(-4) - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1011] -> -3 + 2/a^2 + 2*a^2 - 20*z^2 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 33*z^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1012] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 + (2*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[12, Alternating, 1013] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 - 12*z^4 - (12*z^4)/a^4 + (33*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[12, Alternating, 1014] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[12, Alternating, 1015] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 
   4*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[12, Alternating, 1016] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 
   5*z^2 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1017] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[12, Alternating, 1018] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[12, Alternating, 1019] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 1020] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 1021] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 1022] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + (4*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1023] -> 1 + 4*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1024] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[12, Alternating, 1025] -> 
  -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - 6*a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - 
   7*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[12, Alternating, 1026] -> 
  3*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^2 - 
   a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[12, Alternating, 1027] -> -4 + 10*a^2 - 5*a^4 - 16*z^2 + 37*a^2*z^2 - 
   16*a^4*z^2 - 17*z^4 + 50*a^2*z^4 - 17*a^4*z^4 - 7*z^6 + 31*a^2*z^6 - 
   7*a^4*z^6 - z^8 + 9*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 1028] -> -3 + 8*a^2 - 4*a^4 - (4*z^2)/a^2 + 
   16*a^2*z^2 - 8*a^4*z^2 + 7*z^4 - (4*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 + 
   5*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1029] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 9*z^2 - 
   (7*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 12*z^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 
   5*a^4*z^4 + 6*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1030] -> 4 - 2/a^2 - a^4 + 9*z^2 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 8*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 1031] -> -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + 13*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + 13*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - z^6 + 
   6*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[12, Alternating, 1032] -> -1 + 3*a^2 - a^6 - (2*z^2)/a^2 + 6*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[12, Alternating, 1033] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - (3*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + 3*z^4 - z^4/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[12, Alternating, 1034] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[12, Alternating, 1035] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^14 - 
   (12*z^2)/a^12 + (11*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^12 + 
   (11*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, Alternating, 1036] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 1037] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - (4*z^2)/a^12 + z^2/a^10 + 
   (9*z^2)/a^8 + (4*z^2)/a^6 + (3*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[12, Alternating, 1038] -> -2/a^6 + 3/a^4 + z^2/a^10 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 1039] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 6*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   9*a^2*z^2 + 3*a^4*z^2 + 9*z^4 + z^4/a^4 - (8*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1040] -> 1 + 2/a^4 - 2/a^2 - a^2 + a^6 + z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, Alternating, 1041] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 1042] -> 
  -a^(-4) + 2/a^2 - z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 1043] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^6 + (4*z^2)/a^2 - z^4/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 1044] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1045] -> 1 + 3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, Alternating, 1046] -> 2 + a^(-4) - 2/a^2 + z^2/a^8 - z^2/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[12, Alternating, 1047] -> 
  -3 + 8*a^2 - 4*a^4 - 12*z^2 + 28*a^2*z^2 - 12*a^4*z^2 - 13*z^4 + 
   38*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[12, Alternating, 1048] -> 
  -2 + 6*a^2 - 3*a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 1049] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 
   5*z^4 - z^4/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 1050] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 - 
   2*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[12, Alternating, 1051] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (9*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + 
   (12*z^4)/a^6 - (33*z^4)/a^4 + (12*z^4)/a^2 + (6*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[12, Alternating, 1052] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 3*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 1053] -> -1 + 4*a^2 - 2*a^4 + 2*z^2 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1054] -> 2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 1055] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - a^6*z^2 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[12, Alternating, 1056] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   4*z^2 + (4*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1057] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[12, Alternating, 1058] -> 2*a^2 - a^4 + z^2 - z^2/a^4 + 
   2*a^2*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[12, Alternating, 1059] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (3*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[12, Alternating, 1060] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1061] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 1062] -> 2/a^10 - 5/a^8 + 3/a^6 + a^(-2) + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[12, Alternating, 1063] -> a^(-6) - a^(-4) + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[12, Alternating, 1064] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1065] -> 
  3 - a^(-2) - a^2 + 8*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^2*z^2 + 9*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[12, Alternating, 1066] -> 
  3 + a^(-6) - 3/a^2 + 6*z^2 + (5*z^2)/a^6 - (5*z^2)/a^4 - (9*z^2)/a^2 + 
   4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1067] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 3*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 1068] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[12, Alternating, 1069] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^8 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[12, Alternating, 1070] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (10*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[12, Alternating, 1071] -> 
  1 + 3*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1072] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 7*a^4*z^2 - a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[12, Alternating, 1073] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 1074] -> 
  1 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 1075] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[12, Alternating, 1076] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1077] -> a^2 + a^6 - a^8 - z^2 + 3*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[12, Alternating, 1078] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 1079] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1080] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 1081] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1082] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 1083] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 - (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 1084] -> 
  2 + a^(-8) - 2/a^4 + 3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^2 + 
   z^4 + z^4/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 1085] -> 
  1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1086] -> a^2 + a^4 - a^6 - z^2/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[12, Alternating, 1087] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1088] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1089] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 1090] -> 
  a^(-8) - a^(-6) + a^2 - 2*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1091] -> 3 - a^(-2) - a^2 + 6*z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 1092] -> 3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[12, Alternating, 1093] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 1094] -> -1 + a^(-8) - a^(-6) - a^(-4) + 
   2/a^2 + a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1095] -> 2*a^2 - a^4 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[12, Alternating, 1096] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[12, Alternating, 1097] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - (5*z^2)/a^12 + (2*z^2)/a^10 + 
   (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[12, Alternating, 1098] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 1099] -> 4*a^6 - 3*a^8 - 2*a^2*z^2 + 4*a^4*z^2 + 
   8*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 1100] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1101] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 1102] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 10*z^2 + 
   z^2/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1103] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 7*a^4*z^2 - 
   a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, Alternating, 1104] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, Alternating, 1105] -> 7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 12*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1106] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 - 
   z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - z^4 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[12, Alternating, 1107] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 8*a^2*z^4 + 8*a^4*z^4 - 
   4*a^6*z^4 - z^6 + 5*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[12, Alternating, 1108] -> 2 - a^(-2) + a^4 - a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 1109] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1110] -> -2/a^6 + 3/a^4 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + (7*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 1111] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 1112] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^14 - (11*z^2)/a^12 + 
   (7*z^2)/a^10 + (13*z^2)/a^8 - (4*z^4)/a^12 + (9*z^4)/a^10 + (14*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[12, Alternating, 1113] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - 
   (4*z^2)/a^12 - z^2/a^10 + (11*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[12, Alternating, 1114] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 7*a^4*z^2 + 26*a^6*z^2 - 11*a^8*z^2 - 11*a^4*z^4 + 
   35*a^6*z^4 - 12*a^8*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[12, Alternating, 1115] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 2*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 1116] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 5*a^2*z^2 + 
   13*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - 4*a^2*z^4 + 11*a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[12, Alternating, 1117] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^8 - 
   (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 1118] -> -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 4*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[12, Alternating, 1119] -> -1 - 2/a^4 + 4/a^2 - z^2 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 1120] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + 24*a^2*z^2 - 
   10*a^4*z^2 - 12*z^4 + 34*a^2*z^4 - 12*a^4*z^4 - 6*z^6 + 24*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 1121] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1122] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, Alternating, 1123] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1124] -> 3 + a^(-6) - 2/a^2 - 2*a^2 + a^6 + z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6, Knot[12, Alternating, 1125] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, Knot[12, Alternating, 1126] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[12, Alternating, 1127] -> 1 + a^(-6) - a^(-2) - a^2 + a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^2 + 
   a^2*z^4, Knot[12, Alternating, 1128] -> -2 + 6*a^2 - 3*a^4 - 13*z^2 + 
   29*a^2*z^2 - 13*a^4*z^2 - 16*z^4 + 45*a^2*z^4 - 16*a^4*z^4 - 7*z^6 + 
   30*a^2*z^6 - 7*a^4*z^6 - z^8 + 9*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 1129] -> -1 + 4*a^2 - 2*a^4 + z^2 - (4*z^2)/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + 7*z^4 - (4*z^4)/a^2 + 13*a^2*z^4 - 5*a^4*z^4 + 
   5*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1130] -> 2*a^2 - a^4 + 4*z^2 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 8*z^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 
   5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1131] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + 11*a^2*z^2 - 
   3*a^6*z^2 - 5*z^4 + 12*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 - z^6 + 6*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[12, Alternating, 1132] -> 
  2*a^2 - a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 1133] -> 1 + z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[12, Alternating, 1134] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (13*z^2)/a^6 - (28*z^2)/a^4 + (14*z^2)/a^2 + 
   (16*z^4)/a^6 - (45*z^4)/a^4 + (16*z^4)/a^2 + (7*z^6)/a^6 - (30*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[12, Alternating, 1135] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 4*z^2 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 - z^2/a^2 + 4*z^4 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (6*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1136] -> 
  2 + 2/a^6 - 3/a^4 + 5*z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 - (6*z^2)/a^2 + 
   4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1137] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[12, Alternating, 1138] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 1139] -> -1 + a^(-2) + a^2 - z^2/a^4 + a^2*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[12, Alternating, 1140] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[12, Alternating, 1141] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 1142] -> 2*a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 1143] -> 3 - a^(-2) - a^2 + 3*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - a^4*z^2 + z^4 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[12, Alternating, 1144] -> 1 + 2*z^2 - z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[12, Alternating, 1145] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 7*z^2 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 - (9*z^2)/a^2 + 5*z^4 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 - (12*z^4)/a^2 + z^6 + z^6/a^6 - (6*z^6)/a^4 - (6*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1146] -> 
  1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[12, Alternating, 1147] -> 
  4 + 2/a^6 - a^(-4) - 4/a^2 + 8*z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (14*z^2)/a^2 + 5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - (14*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1148] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[12, Alternating, 1149] -> 2/a^6 - 2/a^4 + a^4 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^4 - 
   z^4/a^2 - a^2*z^4, Knot[12, Alternating, 1150] -> 
  a^(-4) - 2*a^2 + 2*a^4 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 
   3*a^4*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 1151] -> 
  a^(-4) - a^2 + a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + z^4 - (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, Alternating, 1152] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 7*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1153] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, Alternating, 1154] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1155] -> -a^(-8) + 2/a^4 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 + z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[12, Alternating, 1156] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, Alternating, 1157] -> a^(-8) - 4/a^4 + 4/a^2 + (6*z^2)/a^8 - 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 + (5*z^4)/a^8 - (10*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[12, Alternating, 1158] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 3*z^2 + (3*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + 
   z^4 + z^4/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[12, Alternating, 1159] -> 
  2 + a^(-8) - 2/a^4 + 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[12, Alternating, 1160] -> 
  2 + a^(-8) - 2/a^4 + z^2 + z^2/a^8 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   z^4 - z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2, Knot[12, Alternating, 1161] -> 
  a^(-8) - 2/a^4 + a^(-2) + a^2 - z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[12, Alternating, 1162] -> 3 + a^(-8) - a^(-4) - 2/a^2 + 4*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[12, Alternating, 1163] -> 1 + a^(-8) - a^(-4) - a^(-2) + a^2 + 
   z^2/a^8 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2, Knot[12, Alternating, 1164] -> 
  4 + a^(-8) - 4/a^2 + 4*z^2 + (2*z^2)/a^8 - (6*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + z^4/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[12, Alternating, 1165] -> 
  -1 + a^(-8) - a^(-4) + 2*a^2 - 2*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[12, Alternating, 1166] -> a^(-8) - a^(-4) + a^4 - 2*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2, Knot[12, Alternating, 1167] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[12, Alternating, 1168] -> 
  -2 + 6*a^2 - 3*a^4 - 11*z^2 + 25*a^2*z^2 - 11*a^4*z^2 - 13*z^4 + 
   37*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[12, Alternating, 1169] -> 
  -1 + 4*a^2 - 2*a^4 + 3*z^2 - (4*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 8*z^4 - 
   (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 1170] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 - (5*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   9*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 1171] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[12, Alternating, 1172] -> 2*a^2 - a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1173] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1174] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[12, Alternating, 1175] -> 1 + 3*z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[12, Alternating, 1176] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + 
   20*a^2*z^2 - 9*a^4*z^2 - 12*z^4 + 33*a^2*z^4 - 12*a^4*z^4 - 6*z^6 + 
   24*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 1177] -> 2*a^2 - a^4 + z^2 - (3*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1178] -> 1 + 6*z^2 - (4*z^2)/a^2 - 2*a^4*z^2 + 9*z^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[12, Alternating, 1179] -> 
  -1 + a^(-2) + a^2 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[12, Alternating, 1180] -> 
  4 - a^(-4) - 2*a^2 + 9*z^2 - (5*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 
   10*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 1181] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[12, Alternating, 1182] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1183] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, Knot[12, Alternating, 1184] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[12, Alternating, 1185] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[12, Alternating, 1186] -> 
  -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^8 + (6*z^2)/a^6 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[12, Alternating, 1187] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[12, Alternating, 1188] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, Alternating, 1189] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^6 + 
   z^2/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[12, Alternating, 1190] -> -1 - 2/a^4 + 4/a^2 + z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 1191] -> a^2 + a^4 - a^6 + 3*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 7*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 5*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[12, Alternating, 1192] -> 2*a^2 - a^4 + 3*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[12, Alternating, 1193] -> 
  2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[12, Alternating, 1194] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   4*z^2 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[12, Alternating, 1195] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[12, Alternating, 1196] -> a^(-4) - a^(-2) + a^2 + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 1197] -> -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 1198] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[12, Alternating, 1199] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[12, Alternating, 1200] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   5*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 1201] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[12, Alternating, 1202] -> 
  5 + a^(-6) - 3/a^2 - 3*a^2 + a^6 + 6*z^2 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^2 + 2*a^2*z^4, 
 Knot[12, Alternating, 1203] -> -3 + 8*a^2 - 4*a^4 - 12*z^2 + 28*a^2*z^2 - 
   12*a^4*z^2 - 13*z^4 + 38*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 1204] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 9*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1205] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[12, Alternating, 1206] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, Alternating, 1207] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[12, Alternating, 1208] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[12, Alternating, 1209] -> 7 - 3/a^2 - 3*a^2 + 3*z^2 - 14*z^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[12, Alternating, 1210] -> 
  3*a^4 - 2*a^6 + 2*a^2*z^2 + a^6*z^2 + 7*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 + 
   5*a^2*z^6 - 17*a^4*z^6 + 5*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[12, Alternating, 1211] -> 5 - 2/a^2 - 2*a^2 + 4*z^2 - 
   z^2/a^2 - a^2*z^2 - 7*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 + 
   (4*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1212] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 - 3*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 - (4*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[12, Alternating, 1213] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 1214] -> 5/a^10 - 13/a^8 + 9/a^6 + (14*z^2)/a^10 - 
   (37*z^2)/a^8 + (24*z^2)/a^6 + (16*z^4)/a^10 - (47*z^4)/a^8 + 
   (22*z^4)/a^6 + (7*z^6)/a^10 - (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[12, Alternating, 1215] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (9*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 + 
   (12*z^4)/a^6 - (33*z^4)/a^4 + (12*z^4)/a^2 + (6*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[12, Alternating, 1216] -> 5 - 2/a^2 - 2*a^2 + 7*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 1217] -> 3 - a^(-2) - a^2 + 2*z^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1218] -> 3 - a^(-2) - a^2 - 9*z^2 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 27*z^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1219] -> -2 + 6*a^2 - 3*a^4 - 9*z^2 + 21*a^2*z^2 - 
   9*a^4*z^2 - 12*z^4 + 33*a^2*z^4 - 12*a^4*z^4 - 6*z^6 + 24*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 1220] -> 3*a^4 - 2*a^6 - 2*a^4*z^2 + 11*a^6*z^2 - 
   6*a^8*z^2 - 10*a^4*z^4 + 28*a^6*z^4 - 11*a^8*z^4 - 6*a^4*z^6 + 
   23*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[12, Alternating, 1221] -> -a^(-4) + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 8*z^4 - (8*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[12, Alternating, 1222] -> 3 - a^(-2) - a^2 - 5*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 19*z^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1223] -> 3/a^6 - 7/a^4 + 5/a^2 + (12*z^2)/a^6 - 
   (27*z^2)/a^4 + (13*z^2)/a^2 + (13*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + 
   (6*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[12, Alternating, 1224] -> 
  2 + 2/a^6 - 3/a^4 + 5*z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 - (6*z^2)/a^2 + 
   4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1225] -> 1 - 12*z^2 + (6*z^2)/a^2 + 6*a^2*z^2 - 
   24*z^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[12, Alternating, 1226] -> 
  -4 + 10*a^2 - 5*a^4 - 12*z^2 + 29*a^2*z^2 - 12*a^4*z^2 - 13*z^4 + 
   38*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[12, Alternating, 1227] -> 
  1 - 4*z^2 + 8*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + 20*a^2*z^4 - 8*a^4*z^4 - 
   5*z^6 + 18*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[12, Alternating, 1228] -> -1 + a^(-2) + a^2 + z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1229] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 + (7*z^2)/a^2 + 
   7*a^2*z^2 - 25*z^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1230] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - (7*z^2)/a^4 + 
   (16*z^2)/a^2 - 9*z^4 - (9*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[12, Alternating, 1231] -> 1 - 8*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   20*z^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[12, Alternating, 1232] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[12, Alternating, 1233] -> 
  4/a^6 - 9/a^4 + 6/a^2 + (16*z^2)/a^6 - (36*z^2)/a^4 + (17*z^2)/a^2 + 
   (17*z^4)/a^6 - (50*z^4)/a^4 + (17*z^4)/a^2 + (7*z^6)/a^6 - (31*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[12, Alternating, 1234] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 5*z^2 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (6*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1235] -> 
  -1 + a^(-2) + a^2 - 17*z^2 + (8*z^2)/a^2 + 8*a^2*z^2 - 32*z^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[12, Alternating, 1236] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + (5*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 10*z^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 5*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 1237] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1238] -> -a^(-4) + 2/a^2 - 8*z^2 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 - 12*z^4 - (12*z^4)/a^4 + (32*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[12, Alternating, 1239] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[12, Alternating, 1240] -> 1 - 3*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[12, Alternating, 1241] -> -1 + a^(-2) + a^2 - 2*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, Alternating, 1242] -> a^(-8) + 2/a^6 - 8/a^4 + 6/a^2 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 + (5*z^4)/a^8 - 
   (10*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[12, Alternating, 1243] -> 
  2 + a^(-8) + a^(-6) - 4/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (9*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[12, Alternating, 1244] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[12, Alternating, 1245] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1246] -> -3 - 4/a^4 + 8/a^2 - 12*z^2 - (12*z^2)/a^4 + 
   (28*z^2)/a^2 - 13*z^4 - (13*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[12, Alternating, 1247] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[12, Alternating, 1248] -> 1 - 4*z^4 + 8*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + 12*a^2*z^6 - 4*a^4*z^6 - z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[12, Alternating, 1249] -> 1 - 8*z^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 12*z^6 + (4*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[12, Alternating, 1250] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 + 
   (7*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + 
   (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1251] -> 5 - 2/a^2 - 2*a^2 + 4*z^2 - z^2/a^2 - 
   a^2*z^2 - z^4 + z^4/a^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1252] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1253] -> 
  -3 + 8*a^2 - 4*a^4 - 8*z^2 + 20*a^2*z^2 - 8*a^4*z^2 - 9*z^4 + 26*a^2*z^4 - 
   9*a^4*z^4 - 5*z^6 + 19*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[12, Alternating, 1254] -> -7 + 4/a^2 + 4*a^2 - 28*z^2 + 
   (12*z^2)/a^2 + 12*a^2*z^2 - 38*z^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + 
   (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1255] -> a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 + (8*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[12, Alternating, 1256] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 8*z^2 + (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 1257] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1258] -> 
  -5 + 3/a^2 + 3*a^2 - 25*z^2 + (11*z^2)/a^2 + 11*a^2*z^2 - 37*z^4 + 
   (13*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[12, Alternating, 1259] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 7*z^2 + (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 1260] -> 
  -3 + 2/a^2 + 2*a^2 - 24*z^2 + (11*z^2)/a^2 + 11*a^2*z^2 - 37*z^4 + 
   (13*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[12, Alternating, 1261] -> 
  1 + 3/a^6 - 6/a^4 + 3/a^2 + 3*z^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + 3*z^4 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[12, Alternating, 1262] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 + (5*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 9*z^4 + 
   (4*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[12, Alternating, 1263] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 + 2*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 1264] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 9*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[12, Alternating, 1265] -> a^(-4) - 2*a^2 + 2*a^4 - 4*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1266] -> 1 + a^(-8) + a^(-6) - 5/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[12, Alternating, 1267] -> -1 + a^(-4) + a^4 - 6*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1268] -> 2*a^2 - a^4 + 3*z^2 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[12, Alternating, 1269] -> 1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 - 4*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1270] -> 1 + 3*z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[12, Alternating, 1271] -> 1 - z^2/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4 - 
   z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[12, Alternating, 1272] -> -1 - 2/a^4 + 4/a^2 + z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[12, Alternating, 1273] -> -5 + 3/a^2 + 3*a^2 - 29*z^2 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 45*z^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 30*z^6 + (7*z^6)/a^2 + 
   7*a^2*z^6 - 9*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1274] -> -4 + 3/a^2 + a^2 + a^4 - 13*z^2 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 - 7*a^2*z^4 + 
   4*a^4*z^4 - 6*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 1275] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1276] -> -3 + 3/a^2 - a^2 + 2*a^4 - 10*z^2 + 
   (7*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 - 12*a^2*z^4 + 
   5*a^4*z^4 - 6*z^6 + z^6/a^2 - 6*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 1277] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 8*z^2 + 
   (2*z^2)/a^4 - 3*a^2*z^2 + 3*a^4*z^2 - 7*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[12, Alternating, 1278] -> -3 + 3/a^2 + a^6 - 7*z^2 + (4*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + z^4/a^2 - 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[12, Alternating, 1279] -> -2 + a^(-4) + a^(-2) + a^6 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4, Knot[12, Alternating, 1280] -> 
  -1 + a^(-4) + a^4 - 2*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[12, Alternating, 1281] -> 
  -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - 7*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[12, Alternating, 1282] -> 
  -1 + 2/a^4 - a^(-2) + a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4, 
 Knot[12, Alternating, 1283] -> -7 + 4/a^2 + 4*a^2 - 36*z^2 + (16*z^2)/a^2 + 
   16*a^2*z^2 - 50*z^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 31*z^6 + (7*z^6)/a^2 + 
   7*a^2*z^6 - 9*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[12, Alternating, 1284] -> -6 + 4/a^2 + 2*a^2 + a^4 - 15*z^2 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 14*z^4 + (5*z^4)/a^2 - 8*a^2*z^4 + 
   4*a^4*z^4 - 6*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 1285] -> -5 + 4/a^2 + 2*a^4 - 13*z^2 + (8*z^2)/a^2 - 
   8*a^2*z^2 + 7*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 - 12*a^2*z^4 + 5*a^4*z^4 - 
   6*z^6 + z^6/a^2 - 6*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[12, Alternating, 1286] -> -5 + 4/a^2 + a^2 + a^6 - 8*z^2 + 
   (4*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + z^4/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[12, Alternating, 1287] -> -1 + a^(-6) + a^6 - 3*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2, Knot[12, Alternating, 1288] -> 
  -9 + 5/a^2 + 5*a^2 - 41*z^2 + (18*z^2)/a^2 + 18*a^2*z^2 - 54*z^4 + 
   (18*z^4)/a^2 + 18*a^2*z^4 - 32*z^6 + (7*z^6)/a^2 + 7*a^2*z^6 - 9*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[12, NonAlternating, 1] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 2] -> 7 - a^(-6) + 4/a^4 - 7/a^2 - 2*a^2 + 13*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (16*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 3] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[12, NonAlternating, 4] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 5] -> 
  a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 5*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 
   a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + a^4*z^6, Knot[12, NonAlternating, 6] -> 
  3 - 3/a^6 + 8/a^4 - 7/a^2 + 4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (16*z^2)/a^4 - 
   (14*z^2)/a^2 + z^4 - (5*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, NonAlternating, 7] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 + z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 + z^6, Knot[12, NonAlternating, 8] -> 
  4 + a^(-8) - 3/a^6 + 6/a^4 - 7/a^2 + 4*z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (14*z^2)/a^4 - (15*z^2)/a^2 + z^4 - (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 9] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 + a^4*z^6, Knot[12, NonAlternating, 10] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + z^6, Knot[12, NonAlternating, 11] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + 2*z^4 + z^4/a^2, Knot[12, NonAlternating, 12] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 5*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 13] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^4*z^4, 
 Knot[12, NonAlternating, 14] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 15] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 + a^4*z^6, Knot[12, NonAlternating, 16] -> 
  3 + a^(-8) - 4/a^6 + 7/a^4 - 6/a^2 + 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (14*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 - 
   (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 17] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + 2*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[12, NonAlternating, 18] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   3*z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   z^6, Knot[12, NonAlternating, 19] -> 4 + a^(-6) - a^(-4) - a^(-2) - 
   4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   5*z^4 - 2*a^2*z^4 + z^6, Knot[12, NonAlternating, 20] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, Knot[12, NonAlternating, 21] -> 
  3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (9*z^2)/a^2 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[12, NonAlternating, 22] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 9*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[12, NonAlternating, 23] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^2, Knot[12, NonAlternating, 24] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 25] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^4 - (3*z^2)/a^2 - z^4/a^2, 
 Knot[12, NonAlternating, 26] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 7*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - (2*z^6)/a^2, Knot[12, NonAlternating, 27] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 7*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 28] -> 
  5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 9*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 - 
   a^2*z^6, Knot[12, NonAlternating, 29] -> 3 + a^(-8) - 3/a^6 + 5/a^4 - 
   5/a^2 + 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (9*z^2)/a^2 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[12, NonAlternating, 30] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 9*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 31] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 
   10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 32] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 7*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - (2*z^6)/a^2, Knot[12, NonAlternating, 33] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 7*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 34] -> 
  5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 9*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 - 
   a^2*z^6, Knot[12, NonAlternating, 35] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + 
   a^4 + 7*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 36] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 2*z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[12, NonAlternating, 37] -> 3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (12*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[12, NonAlternating, 38] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - 
   a^6 + 7*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 + z^6, Knot[12, NonAlternating, 39] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 3*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 40] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 11*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (14*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 41] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 7*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 42] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, Knot[12, NonAlternating, 43] -> 
  5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 12*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   12*a^2*z^2 + 3*a^4*z^2 + 13*z^4 - (5*z^4)/a^2 - 9*a^2*z^4 + a^4*z^4 + 
   6*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[12, NonAlternating, 44] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 45] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 46] -> -1 + a^(-8) - 2/a^6 + a^(-4) + 
   a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^4 + 
   z^4/a^2, Knot[12, NonAlternating, 47] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 
   2*a^4 + 2*z^2 - (3*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, NonAlternating, 48] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 
   (2*z^2)/a^2 - 2*a^4*z^2 + z^4 + a^2*z^4, Knot[12, NonAlternating, 49] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   2*z^4 + (2*z^4)/a^2, Knot[12, NonAlternating, 50] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 3*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[12, NonAlternating, 51] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 3*z^2 + z^2/a^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - z^4 + a^4*z^4, Knot[12, NonAlternating, 52] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - z^4 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^2*z^6, Knot[12, NonAlternating, 53] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^6 + (3*z^2)/a^2 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[12, NonAlternating, 54] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   8*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 55] -> 3 + a^(-8) - 5/a^6 + 9/a^4 - 7/a^2 + 2*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (10*z^2)/a^2 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, Knot[12, NonAlternating, 56] -> 
  7 - 2/a^2 - 8*a^2 + 6*a^4 - 2*a^6 + 11*z^2 - (3*z^2)/a^2 - 12*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + z^6 - 
   a^2*z^6, Knot[12, NonAlternating, 57] -> 7 - 2/a^2 - 8*a^2 + 6*a^4 - 
   2*a^6 + 11*z^2 - (3*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 58] -> 4*a^4 - 7*a^6 + 8*a^8 - 5*a^10 + a^12 + 
   7*a^4*z^2 - 11*a^6*z^2 + 12*a^8*z^2 - 4*a^10*z^2 + 3*a^4*z^4 - 7*a^6*z^4 + 
   5*a^8*z^4 - 2*a^6*z^6, Knot[12, NonAlternating, 59] -> 
  a^(-12) - 5/a^10 + 9/a^8 - 9/a^6 + 5/a^4 - (4*z^2)/a^10 + (15*z^2)/a^8 - 
   (18*z^2)/a^6 + (10*z^2)/a^4 + (8*z^4)/a^8 - (16*z^4)/a^6 + (6*z^4)/a^4 + 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 60] -> 
  8 - 2/a^6 + 7/a^4 - 10/a^2 - 2*a^2 + 14*z^2 - z^2/a^6 + (10*z^2)/a^4 - 
   (19*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (5*z^4)/a^4 - (15*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 61] -> 
  8 - 2/a^6 + 7/a^4 - 10/a^2 - 2*a^2 + 14*z^2 - z^2/a^6 + (10*z^2)/a^4 - 
   (19*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (5*z^4)/a^4 - (15*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 62] -> 
  6 - 2/a^6 + 7/a^4 - 9/a^2 - a^2 + 8*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (15*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - (2*z^6)/a^2, 
 Knot[12, NonAlternating, 63] -> 4 - 8*a^2 + 8*a^4 - 4*a^6 + a^8 + 4*z^2 - 
   13*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - 7*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 64] -> 
  4 + a^(-8) - 5/a^6 + 10/a^4 - 9/a^2 + 4*z^2 + z^2/a^8 - (8*z^2)/a^6 + 
   (18*z^2)/a^4 - (16*z^2)/a^2 + z^4 - (5*z^4)/a^6 + (14*z^4)/a^4 - 
   (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 65] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - z^4 - a^2*z^4, 
 Knot[12, NonAlternating, 66] -> 6 - 2/a^6 + 7/a^4 - 9/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (15*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - (2*z^6)/a^2, Knot[12, NonAlternating, 67] -> 
  4*a^4 - 8*a^6 + 10*a^8 - 6*a^10 + a^12 + 8*a^4*z^2 - 15*a^6*z^2 + 
   18*a^8*z^2 - 6*a^10*z^2 + 5*a^4*z^4 - 13*a^6*z^4 + 11*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 - 6*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, Knot[12, NonAlternating, 68] -> 
  a^(-12) - 5/a^10 + 7/a^8 - 5/a^6 + 3/a^4 - (6*z^2)/a^10 + (16*z^2)/a^8 - 
   (12*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^10 + (11*z^4)/a^8 - (12*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 69] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 70] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^4, Knot[12, NonAlternating, 71] -> 8 - a^(-6) + 3/a^4 - 6/a^2 - 
   3*a^2 + 15*z^2 - z^2/a^6 + (7*z^2)/a^4 - (14*z^2)/a^2 - 4*a^2*z^2 + 
   10*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (6*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 72] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^10 + (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^6, Knot[12, NonAlternating, 73] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 + z^6, Knot[12, NonAlternating, 74] -> 
  a^(-14) - a^(-12) - 5/a^10 + 6/a^8 + z^2/a^14 - (6*z^2)/a^12 - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (5*z^4)/a^12 + (5*z^4)/a^10 + (17*z^4)/a^8 - 
   z^6/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 75] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 3*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[12, NonAlternating, 76] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - z^6/a^8, Knot[12, NonAlternating, 77] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (7*z^2)/a^6 - z^4/a^12 + (4*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[12, NonAlternating, 78] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4, Knot[12, NonAlternating, 79] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 - z^4/a^8, Knot[12, NonAlternating, 80] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 
   a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[12, NonAlternating, 81] -> -2/a^6 + 3/a^4 + z^2/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 82] -> 
  3 - 2/a^2 + a^2 - a^6 + 5*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 + z^6 + a^2*z^6, Knot[12, NonAlternating, 83] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[12, NonAlternating, 84] -> -3/a^4 + 5/a^2 - a^2 + 2*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 85] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 5*z^2 - 13*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 9*a^2*z^4 + 3*a^4*z^4 - 2*a^2*z^6, Knot[12, NonAlternating, 86] -> 
  1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (13*z^2)/a^4 - (6*z^2)/a^2 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[12, NonAlternating, 87] -> 
  7 - a^(-6) + 2/a^4 - 4/a^2 - 3*a^2 + 12*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^2, Knot[12, NonAlternating, 88] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (2*z^2)/a^12 - (14*z^2)/a^10 + 
   (15*z^2)/a^8 + (3*z^2)/a^6 - (5*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[12, NonAlternating, 89] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 + (7*z^2)/a^8 - (11*z^2)/a^6 + 
   (8*z^2)/a^4 + (5*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 90] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 5*a^2*z^2 + 16*a^4*z^2 - 6*a^6*z^2 - 4*a^2*z^4 + 
   14*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[12, NonAlternating, 91] -> a^(-14) - 7/a^10 + 7/a^8 + z^2/a^14 - 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (20*z^2)/a^8 - (2*z^4)/a^12 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[12, NonAlternating, 92] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 17*z^2 - 
   z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 15*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   6*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 93] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 3/a^6 + 3/a^4 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (9*z^2)/a^6 + (7*z^2)/a^4 + (6*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 94] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[12, NonAlternating, 95] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 
   2*z^2 + 5*a^2*z^2 + a^4*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 96] -> 
  a^(-14) - 2/a^12 - a^(-8) + 3/a^6 - (2*z^2)/a^12 - z^2/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 97] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 98] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (12*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + z^4/a^8 - 
   (9*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[12, NonAlternating, 99] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (12*z^2)/a^4 - 
   (8*z^2)/a^2 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[12, NonAlternating, 100] -> a^(-14) - a^(-12) - 5/a^10 + 6/a^8 - 
   (3*z^2)/a^12 - (5*z^2)/a^10 + (14*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + 
   z^4/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 101] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 2*z^2 - 
   z^2/a^4 + 7*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^2 + 4*a^2*z^4 - z^6, 
 Knot[12, NonAlternating, 102] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 - z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[12, NonAlternating, 103] -> 
  -a^(-8) + 2/a^4 + (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^8 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 104] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 4*a^2*z^2 + 
   12*a^4*z^2 - a^6*z^2 - a^8*z^2 - 4*a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 - 
   a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[12, NonAlternating, 105] -> 
  2/a^14 - 4/a^12 - 2/a^10 + 5/a^8 + z^2/a^14 - (6*z^2)/a^12 - (5*z^2)/a^10 + 
   (18*z^2)/a^8 - (2*z^4)/a^12 - (2*z^4)/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[12, NonAlternating, 106] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 
   11*z^2 - z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + 13*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 107] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^8 - (11*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 108] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 109] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 - z^4 + 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[12, NonAlternating, 110] -> a^(-14) - a^(-12) - 4/a^10 + 
   4/a^8 + a^(-6) - (2*z^2)/a^12 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 + 
   (6*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 111] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[12, NonAlternating, 112] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 113] -> -a^4 + 6*a^6 - 4*a^8 - 4*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 5*a^8*z^4 - a^4*z^6 + 
   7*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 114] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[12, NonAlternating, 115] -> 
  -4 + 8*a^2 - a^4 - 2*a^6 - 10*z^2 + 22*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 - 
   6*z^4 + 21*a^2*z^4 - a^4*z^4 - a^6*z^4 - z^6 + 8*a^2*z^6 + a^2*z^8, 
 Knot[12, NonAlternating, 116] -> 4*a^6 - 3*a^8 - a^2*z^2 + 3*a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 117] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 118] -> 
  -1 - a^(-2) + 6*a^2 - 2*a^4 - a^6 + 2*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[12, NonAlternating, 119] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 120] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + 5*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[12, NonAlternating, 121] -> a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 + 
   4*a^6*z^2 - a^8*z^2 + a^6*z^4, Knot[12, NonAlternating, 122] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 123] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 - (4*z^2)/a^10 + (10*z^2)/a^8 - 
   (8*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^6, Knot[12, NonAlternating, 124] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + z^6 - 
   a^2*z^6, Knot[12, NonAlternating, 125] -> -a^(-10) + 4/a^8 - 6/a^6 + 
   3/a^4 + a^(-2) + (5*z^2)/a^8 - (12*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + 
   z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[12, NonAlternating, 126] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (12*z^2)/a^4 - 
   (8*z^2)/a^2 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[12, NonAlternating, 127] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[12, NonAlternating, 128] -> a^(-12) - 4/a^10 + 5/a^8 - 
   4/a^6 + 3/a^4 - (4*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[12, NonAlternating, 129] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 
   8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, Knot[12, NonAlternating, 130] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 5*z^2 - 13*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 9*a^2*z^4 + 3*a^4*z^4 - 2*a^2*z^6, 
 Knot[12, NonAlternating, 131] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4, Knot[12, NonAlternating, 132] -> 
  7 - a^(-6) + 2/a^4 - 4/a^2 - 3*a^2 + 12*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^2, Knot[12, NonAlternating, 133] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (2*z^2)/a^12 - (14*z^2)/a^10 + 
   (15*z^2)/a^8 + (3*z^2)/a^6 - (5*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[12, NonAlternating, 134] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 + (7*z^2)/a^8 - (11*z^2)/a^6 + 
   (8*z^2)/a^4 + (5*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 135] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 5*a^2*z^2 + 16*a^4*z^2 - 6*a^6*z^2 - 4*a^2*z^4 + 
   14*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[12, NonAlternating, 136] -> a^(-14) - 7/a^10 + 7/a^8 + z^2/a^14 - 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (20*z^2)/a^8 - (2*z^4)/a^12 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[12, NonAlternating, 137] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 17*z^2 - 
   z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 15*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   6*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 138] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 3/a^6 + 3/a^4 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (9*z^2)/a^6 + (7*z^2)/a^4 + (6*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 139] -> 2 - 4/a^6 + 9/a^4 - 6/a^2 + 3*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (18*z^2)/a^4 - (12*z^2)/a^2 + z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[12, NonAlternating, 140] -> -a^(-10) + 4/a^8 - 5/a^6 + 
   a^(-4) + 2/a^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^4, 
 Knot[12, NonAlternating, 141] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 - z^6/a^2, Knot[12, NonAlternating, 142] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 + z^6, Knot[12, NonAlternating, 143] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 144] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 
   a^4*z^6, Knot[12, NonAlternating, 145] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^4*z^4, 
 Knot[12, NonAlternating, 146] -> a^2 + a^8 - a^10 + 2*a^2*z^2 + 2*a^8*z^2 - 
   a^4*z^4 - a^6*z^4, Knot[12, NonAlternating, 147] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, NonAlternating, 148] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 9*a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 6*a^6*z^4 + a^10*z^4 + a^6*z^6, 
 Knot[12, NonAlternating, 149] -> a^4 + a^6 - a^8 + a^10 - a^12 + 3*a^4*z^2 + 
   3*a^6*z^2 + a^10*z^2 + a^4*z^4 + a^6*z^4, Knot[12, NonAlternating, 150] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + (5*z^2)/a^8 - (14*z^2)/a^6 + 
   (14*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^8 - (10*z^4)/a^6 + (13*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 151] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, Knot[12, NonAlternating, 152] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 153] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 + 
   z^2/a^14 - (8*z^2)/a^12 + z^2/a^10 + (15*z^2)/a^8 - (6*z^4)/a^12 + 
   (9*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 154] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, NonAlternating, 155] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[12, NonAlternating, 156] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 4*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (13*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[12, NonAlternating, 157] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 + (3*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^4, Knot[12, NonAlternating, 158] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 
   4*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 159] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[12, NonAlternating, 160] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 
   5*z^2 - z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - 4*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[12, NonAlternating, 161] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 - (2*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^4, Knot[12, NonAlternating, 162] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 163] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 - (5*z^2)/a^10 + (13*z^2)/a^8 - 
   (11*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^10 + (10*z^4)/a^8 - (12*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 164] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   7*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 165] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 - (4*z^2)/a^2 - (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^4, Knot[12, NonAlternating, 166] -> 2/a^14 - 6/a^12 + 2/a^10 + 
   3/a^8 + z^2/a^14 - (11*z^2)/a^12 + (7*z^2)/a^10 + (13*z^2)/a^8 - 
   (6*z^4)/a^12 + (11*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 167] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 + z^2 - (3*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 
   3*z^4 - z^4/a^2 + 9*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[12, NonAlternating, 168] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[12, NonAlternating, 169] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - 
   (4*z^2)/a^12 - z^2/a^10 + (11*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 170] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 
   5*z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^2 + 
   2*a^2*z^4, Knot[12, NonAlternating, 171] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   z^4/a^8 - z^4/a^6, Knot[12, NonAlternating, 172] -> 
  a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - (6*z^2)/a^10 + (15*z^2)/a^8 - 
   (9*z^2)/a^6 + (6*z^2)/a^4 - z^4/a^10 + (11*z^4)/a^8 - (11*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 173] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 7*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 174] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 11*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 11*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 175] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   (4*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - (7*z^4)/a^6 + 
   (11*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 176] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^6 - 
   (2*z^4)/a^4, Knot[12, NonAlternating, 177] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^12 + (3*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 178] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - z^6, Knot[12, NonAlternating, 179] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[12, NonAlternating, 180] -> 
  1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[12, NonAlternating, 181] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^4 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 182] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 12*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (13*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 183] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - (4*z^2)/a^10 + (8*z^2)/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^6, Knot[12, NonAlternating, 184] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 
   2*a^6 + 6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6, Knot[12, NonAlternating, 185] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + 
   (4*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 186] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 5*a^2*z^2 + 15*a^4*z^2 - 3*a^6*z^2 - 
   a^8*z^2 - 4*a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[12, NonAlternating, 187] -> 
  a^(-14) - a^(-12) - 5/a^10 + 6/a^8 + z^2/a^14 - (4*z^2)/a^12 - 
   (8*z^2)/a^10 + (19*z^2)/a^8 - (2*z^4)/a^12 - (3*z^4)/a^10 + (20*z^4)/a^8 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[12, NonAlternating, 188] -> 
  -3/a^6 + 5/a^4 - a^(-2) - (5*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 - 
   (4*z^4)/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[12, NonAlternating, 189] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + (6*z^2)/a^4 - (11*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^4 - (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 190] -> -2*a^4 + 8*a^6 - 5*a^8 - 5*a^4*z^2 + 
   22*a^6*z^2 - 9*a^8*z^2 - 4*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 - a^4*z^6 + 
   7*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 191] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (5*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[12, NonAlternating, 192] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 10*z^2 + 23*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 - 
   6*z^4 + 21*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - z^6 + 8*a^2*z^6 + a^2*z^8, 
 Knot[12, NonAlternating, 193] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 2*a^2*z^2 + 
   6*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 194] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 195] -> 
  -a^(-2) + 4*a^2 - a^4 - a^6 + 3*z^2 - (3*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[12, NonAlternating, 196] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[12, NonAlternating, 197] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[12, NonAlternating, 198] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   5*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, Knot[12, NonAlternating, 199] -> 
  -a^4 + 6*a^6 - 4*a^8 + 11*a^6*z^2 - 4*a^8*z^2 + 6*a^6*z^4 - a^8*z^4 + 
   a^6*z^6, Knot[12, NonAlternating, 200] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + a^4*z^4 + a^6*z^4, 
 Knot[12, NonAlternating, 201] -> a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - (7*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 202] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - z^2 - 
   a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 - z^4 + a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[12, NonAlternating, 203] -> 
  a^(-14) - a^(-12) - 5/a^10 + 6/a^8 - (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (13*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[12, NonAlternating, 204] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (4*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[12, NonAlternating, 205] -> 2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 + 
   3*z^2 + z^2/a^8 - (8*z^2)/a^6 + (17*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (14*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, NonAlternating, 206] -> 
  5 - a^(-2) - 7*a^2 + 6*a^4 - 2*a^6 + 11*z^2 - (2*z^2)/a^2 - 17*a^2*z^2 + 
   10*a^4*z^2 - a^6*z^2 + 8*z^4 - z^4/a^2 - 15*a^2*z^4 + 5*a^4*z^4 + 2*z^6 - 
   6*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 207] -> 
  a^(-12) - 4/a^10 + 6/a^8 - 6/a^6 + 4/a^4 - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (15*z^2)/a^6 + (9*z^2)/a^4 + (8*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 + 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 208] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 4*a^2*z^2 + 
   12*a^4*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 209] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   z^4/a^10 - z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[12, NonAlternating, 210] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 7*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 + a^4*z^4 + 
   z^6, Knot[12, NonAlternating, 211] -> 4 + 3/a^4 - 6/a^2 + 6*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (3*z^4)/a^2 - a^2*z^4 + 
   z^6, Knot[12, NonAlternating, 212] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   4*a^2*z^2 + 12*a^4*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 213] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   z^4/a^10 - z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[12, NonAlternating, 214] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 7*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 + a^4*z^4 + 
   z^6, Knot[12, NonAlternating, 215] -> -a^(-4) + 2/a^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 216] -> -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 217] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 - (2*z^2)/a^12 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (5*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 218] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   8*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 219] -> 8 - 2/a^6 + 7/a^4 - 10/a^2 - 2*a^2 + 
   14*z^2 - z^2/a^6 + (10*z^2)/a^4 - (19*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + 
   (5*z^4)/a^4 - (15*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   z^8/a^2, Knot[12, NonAlternating, 220] -> a^(-12) - 5/a^10 + 9/a^8 - 
   9/a^6 + 5/a^4 - (4*z^2)/a^10 + (15*z^2)/a^8 - (18*z^2)/a^6 + 
   (10*z^2)/a^4 + (8*z^4)/a^8 - (16*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 221] -> 
  7 - 2/a^6 + 6/a^4 - 8/a^2 - 2*a^2 + 11*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (12*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^2, Knot[12, NonAlternating, 222] -> 
  a^(-12) - 5/a^10 + 8/a^8 - 7/a^6 + 4/a^4 - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (11*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^6, Knot[12, NonAlternating, 223] -> 
  3 + a^(-8) - 5/a^6 + 9/a^4 - 7/a^2 + 2*z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (14*z^2)/a^4 - (10*z^2)/a^2 - (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[12, NonAlternating, 224] -> 
  6 - a^(-2) - 9*a^2 + 7*a^4 - 2*a^6 + 8*z^2 - z^2/a^2 - 15*a^2*z^2 + 
   9*a^4*z^2 - a^6*z^2 + 3*z^4 - 9*a^2*z^4 + 3*a^4*z^4 - 2*a^2*z^6, 
 Knot[12, NonAlternating, 225] -> 4 + a^(-8) - 4/a^6 + 8/a^4 - 8/a^2 + 
   4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 - (13*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[12, NonAlternating, 226] -> 2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 + 
   3*z^2 + z^2/a^8 - (8*z^2)/a^6 + (17*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (14*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, NonAlternating, 227] -> 
  5 - a^(-2) - 7*a^2 + 6*a^4 - 2*a^6 + 11*z^2 - (2*z^2)/a^2 - 17*a^2*z^2 + 
   10*a^4*z^2 - a^6*z^2 + 8*z^4 - z^4/a^2 - 15*a^2*z^4 + 5*a^4*z^4 + 2*z^6 - 
   6*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 228] -> 
  a^(-12) - 4/a^10 + 6/a^8 - 6/a^6 + 4/a^4 - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (15*z^2)/a^6 + (9*z^2)/a^4 + (8*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 + 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 229] -> a^(-12) - 6/a^10 + 10/a^8 - 8/a^6 + 4/a^4 - 
   (6*z^2)/a^10 + (18*z^2)/a^8 - (15*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^10 + 
   (11*z^4)/a^8 - (13*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 230] -> 
  -3 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 231] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 3*z^2 - 
   9*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + a^4*z^6, 
 Knot[12, NonAlternating, 232] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 3*z^2 - 
   9*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + a^4*z^6, 
 Knot[12, NonAlternating, 233] -> -3*a^4 + 10*a^6 - 6*a^8 - 7*a^4*z^2 + 
   27*a^6*z^2 - 11*a^8*z^2 - 5*a^4*z^4 + 23*a^6*z^4 - 6*a^8*z^4 - a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 234] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (7*z^2)/a^10 - (21*z^2)/a^8 + (17*z^2)/a^6 + 
   (5*z^4)/a^10 - (18*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[12, NonAlternating, 235] -> 
  -4 + 10*a^2 - 5*a^4 - 10*z^2 + 25*a^2*z^2 - 10*a^4*z^2 - 6*z^4 + 
   22*a^2*z^4 - 6*a^4*z^4 - z^6 + 8*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[12, NonAlternating, 236] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 237] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (3*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 238] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 - (3*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   4*z^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, NonAlternating, 239] -> -2*a^2 + 5*a^4 - 2*a^8 - 3*a^2*z^2 + 
   9*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 240] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 241] -> 
  4 - 2/a^2 - a^4 + 6*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, NonAlternating, 242] -> 3/a^14 - 11/a^12 + 9/a^10 + (4*z^2)/a^14 - 
   (31*z^2)/a^12 + (39*z^2)/a^10 + z^4/a^14 - (27*z^4)/a^12 + (57*z^4)/a^10 - 
   (9*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[12, NonAlternating, 243] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^14 - (13*z^2)/a^12 + (12*z^2)/a^10 + (11*z^2)/a^8 - (7*z^4)/a^12 + 
   (15*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 244] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 + z^2/a^14 - (9*z^2)/a^12 + 
   (4*z^2)/a^10 + (14*z^2)/a^8 - (6*z^4)/a^12 + (10*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 245] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   (5*z^2)/a^12 + (2*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + 
   (4*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 246] -> 4 - 2/a^2 - a^4 + 6*z^2 - 
   z^2/a^4 - z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[12, NonAlternating, 247] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4/a^8 - 
   (2*z^4)/a^6, Knot[12, NonAlternating, 248] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 - z^2 + 3*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 + a^4*z^4 + a^6*z^4, Knot[12, NonAlternating, 249] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 - z^4/a^6 - z^4/a^4, 
 Knot[12, NonAlternating, 250] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^2 + a^2*z^4, 
 Knot[12, NonAlternating, 251] -> a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 
   2/a^6 - (5*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - 
   z^4/a^12 + (5*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 252] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 
   2*a^6 + 7*z^2 - z^2/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   8*a^2*z^4 + 3*a^4*z^4 - 2*a^2*z^6, Knot[12, NonAlternating, 253] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 5*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 2*a^2*z^4 + 
   10*a^4*z^4 - 2*a^6*z^4 + 2*a^4*z^6, Knot[12, NonAlternating, 254] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (5*z^2)/a^8 - (14*z^2)/a^6 + (9*z^2)/a^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[12, NonAlternating, 255] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 
   2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (8*z^2)/a^2 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, Knot[12, NonAlternating, 256] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^2, Knot[12, NonAlternating, 257] -> 
  8 - 3/a^2 - 5*a^2 + a^4 + 13*z^2 - (4*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 
   7*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 258] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 3*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^2 - a^2*z^4, 
 Knot[12, NonAlternating, 259] -> 2/a^12 - 8/a^10 + 7/a^8 + z^2/a^12 - 
   (12*z^2)/a^10 + (17*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^10 + (13*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^8 + z^6/a^6, Knot[12, NonAlternating, 260] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*a^4*z^4 + a^6*z^4, Knot[12, NonAlternating, 261] -> 
  4 + a^(-8) - 5/a^6 + 10/a^4 - 9/a^2 + 4*z^2 + z^2/a^8 - (8*z^2)/a^6 + 
   (18*z^2)/a^4 - (16*z^2)/a^2 + z^4 - (5*z^4)/a^6 + (14*z^4)/a^4 - 
   (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 262] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 
   7*z^2 - z^2/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 3*z^4 - 8*a^2*z^4 + 
   3*a^4*z^4 - 2*a^2*z^6, Knot[12, NonAlternating, 263] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (11*z^2)/a^4 - (8*z^2)/a^2 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[12, NonAlternating, 264] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^2, Knot[12, NonAlternating, 265] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 13*z^2 - (5*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 
   9*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, Knot[12, NonAlternating, 266] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 6*z^2 - z^2/a^6 + (7*z^2)/a^4 - (13*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^2, 
 Knot[12, NonAlternating, 267] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 - (11*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[12, NonAlternating, 268] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4/a^2 + a^2*z^4, 
 Knot[12, NonAlternating, 269] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6, Knot[12, NonAlternating, 270] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^10 + 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - 2*a^4*z^4 - a^6*z^4, Knot[12, NonAlternating, 271] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   z^4 - 4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[12, NonAlternating, 272] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[12, NonAlternating, 273] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 274] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^2, 
 Knot[12, NonAlternating, 275] -> -1 + a^(-2) + a^2 - 2*z^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + a^2*z^4 + a^4*z^4, Knot[12, NonAlternating, 276] -> 
  4*a^6 - 3*a^8 + 9*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^12*z^2 + 6*a^6*z^4 + 
   a^10*z^4 + a^6*z^6, Knot[12, NonAlternating, 277] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, NonAlternating, 278] -> 1 + 2*z^2 - z^2/a^4 - a^4*z^2 + 2*z^4 + 
   z^4/a^2 + a^2*z^4, Knot[12, NonAlternating, 279] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   z^4 + z^4/a^4 + z^4/a^2, Knot[12, NonAlternating, 280] -> 
  3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 2*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[12, NonAlternating, 281] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 282] -> 1 + a^4 - 2*a^6 + a^8 - 
   a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^4*z^4, 
 Knot[12, NonAlternating, 283] -> a^(-4) - a^(-2) + a^2 + 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 284] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 285] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^4, Knot[12, NonAlternating, 286] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 + z^4/a^4 + z^4/a^2, 
 Knot[12, NonAlternating, 287] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   7*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - 9*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, NonAlternating, 288] -> 1 - a^(-6) + 2/a^2 - a^2 + z^2 - z^2/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[12, NonAlternating, 289] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - (3*z^2)/a^12 - z^2/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^12 + 
   (2*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 290] -> 2/a^10 - 6/a^8 + 4/a^6 + 
   a^(-4) + (2*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[12, NonAlternating, 291] -> -3 + 7*a^2 - 2*a^4 - a^6 - 5*z^2 + 
   12*a^2*z^2 - 2*a^6*z^2 - 2*z^4 + 8*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 292] -> 
  2/a^14 - 4/a^12 - 2/a^10 + 5/a^8 + (2*z^2)/a^14 - (11*z^2)/a^12 + 
   (2*z^2)/a^10 + (15*z^2)/a^8 - (7*z^4)/a^12 + (9*z^4)/a^10 + (16*z^4)/a^8 - 
   z^6/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 293] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^4 - z^4/a^8 + z^4/a^4, 
 Knot[12, NonAlternating, 294] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (13*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (12*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, NonAlternating, 295] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[12, NonAlternating, 296] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (12*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[12, NonAlternating, 297] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 
   3/a^2 + a^2 - 3*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 298] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 299] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 + (6*z^2)/a^8 - (10*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 300] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 301] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 11*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (13*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 302] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^2, Knot[12, NonAlternating, 303] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (3*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[12, NonAlternating, 304] -> -3 + 6*a^2 - 2*a^6 - 6*z^2 + 13*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 9*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 305] -> 
  2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - (10*z^2)/a^12 + (4*z^2)/a^10 + 
   (14*z^2)/a^8 - (6*z^4)/a^12 + (10*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + 
   (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 306] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4/a^8 - 
   z^4/a^6, Knot[12, NonAlternating, 307] -> -a^(-2) + 4*a^2 - a^4 - a^6 + 
   2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 + 2*z^4 + 3*a^2*z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 308] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + 
   a^(-6) - (4*z^2)/a^12 + (8*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^12 + 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 309] -> -3/a^4 + 5/a^2 - a^2 - z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - z^4/a^4 + (6*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 310] -> -1 - a^(-6) + 3/a^2 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^4 + z^4/a^2, 
 Knot[12, NonAlternating, 311] -> 1 - a^2 + 2*a^4 - a^6 + z^2/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - z^4 - 2*a^2*z^4, Knot[12, NonAlternating, 312] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 313] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4/a^2 + a^2*z^4, 
 Knot[12, NonAlternating, 314] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 315] -> 6 - 2/a^2 - 4*a^2 + a^4 + 8*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 4*a^2*z^4 + a^4*z^4 - 
   a^2*z^6, Knot[12, NonAlternating, 316] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + (2*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[12, NonAlternating, 317] -> 2 - 2*a^2 + a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 318] -> -2 + 5*a^2 - a^4 - a^6 - 4*z^2 + 
   10*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 + 6*a^2*z^4 + a^2*z^6, 
 Knot[12, NonAlternating, 319] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[12, NonAlternating, 320] -> 
  3 - a^(-2) - a^2 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[12, NonAlternating, 321] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^4/a^8 + z^4/a^4, Knot[12, NonAlternating, 322] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - a^2*z^4, 
 Knot[12, NonAlternating, 323] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 2*a^2*z^4, 
 Knot[12, NonAlternating, 324] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - (3*z^4)/a^2, 
 Knot[12, NonAlternating, 325] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[12, NonAlternating, 326] -> a^(-8) - 5/a^6 + 6/a^4 - 
   a^(-2) + z^2/a^8 - (8*z^2)/a^6 + (14*z^2)/a^4 - (4*z^2)/a^2 - 
   (5*z^4)/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[12, NonAlternating, 327] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - 4*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[12, NonAlternating, 328] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - 
   (3*z^2)/a^12 - (6*z^2)/a^10 + (18*z^2)/a^8 - z^4/a^12 - (2*z^4)/a^10 + 
   (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, Knot[12, NonAlternating, 329] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 9*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + 6*a^6*z^4 + a^10*z^4 + a^6*z^6, 
 Knot[12, NonAlternating, 330] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[12, NonAlternating, 331] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   3*z^2 - 5*a^2*z^2 + 3*a^6*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[12, NonAlternating, 332] -> 
  2*a^4 - a^6 + a^10 - a^12 + 3*a^4*z^2 + 2*a^6*z^2 + a^10*z^2 + a^4*z^4 + 
   a^6*z^4, Knot[12, NonAlternating, 333] -> 3 - a^(-2) - a^2 + 2*z^2 - 
   z^2/a^6 + z^2/a^4 - a^2*z^2 + z^4 + z^4/a^4 + z^4/a^2, 
 Knot[12, NonAlternating, 334] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + a^6*z^2 - z^4 - 2*a^2*z^4 - a^4*z^4, 
 Knot[12, NonAlternating, 335] -> 1 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   z^4 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 336] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 - 
   a^6*z^4 - a^2*z^6, Knot[12, NonAlternating, 337] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 2*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[12, NonAlternating, 338] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 + 
   z^2/a^14 - (9*z^2)/a^12 + (4*z^2)/a^10 + (14*z^2)/a^8 - (6*z^4)/a^12 + 
   (10*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 339] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (2*z^2)/a^6 + (11*z^2)/a^2 - 2*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, NonAlternating, 340] -> a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[12, NonAlternating, 341] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - 
   (4*z^2)/a^12 + z^2/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^12 + 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 342] -> -1 - a^(-6) + 3/a^2 - z^2/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[12, NonAlternating, 343] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^8 - (3*z^2)/a^4 - z^4/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[12, NonAlternating, 344] -> a^4 + 2*a^6 - 2*a^8 - a^4*z^2 + 
   11*a^6*z^2 - 5*a^8*z^2 - 3*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 345] -> 
  -a^(-4) + 2/a^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[12, NonAlternating, 346] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + z^2 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 - (5*z^4)/a^4 + (16*z^4)/a^2 - 
   a^2*z^4 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[12, NonAlternating, 347] -> a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 - 
   2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   a^6*z^6, Knot[12, NonAlternating, 348] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 
   z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, Knot[12, NonAlternating, 349] -> 
  a^2 - a^4 + 2*a^6 - a^10 + 3*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[12, NonAlternating, 350] -> 
  a^2 + a^4 - a^6 + z^2 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[12, NonAlternating, 351] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   4*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   z^6, Knot[12, NonAlternating, 352] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - 2*a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 353] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 + a^4*z^6, Knot[12, NonAlternating, 354] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 4*z^4 - 
   z^4/a^2 - a^2*z^4 + z^6, Knot[12, NonAlternating, 355] -> 
  1 + a^4 - 2*a^6 + a^8 - 2*z^2 + 3*a^2*z^2 - 2*a^6*z^2 - z^4 + 4*a^2*z^4 + 
   a^2*z^6, Knot[12, NonAlternating, 356] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - 3*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 - z^6, 
 Knot[12, NonAlternating, 357] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 358] -> 2 - 2*a^2 + a^4 + 2*z^2 - 4*a^2*z^2 + 
   a^6*z^2 - 2*a^2*z^4 - a^4*z^4, Knot[12, NonAlternating, 359] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + a^2*z^4, Knot[12, NonAlternating, 360] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^6 + (4*z^2)/a^2 + z^4/a^4 + 
   (2*z^4)/a^2, Knot[12, NonAlternating, 361] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + (6*z^2)/a^8 - (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[12, NonAlternating, 362] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 363] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - 
   2*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 + a^4*z^6, Knot[12, NonAlternating, 364] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 365] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 - z^2/a^2 - 3*a^2*z^2 + 2*z^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[12, NonAlternating, 366] -> 
  2*a^6 - a^12 + 8*a^6*z^2 + a^8*z^2 + a^10*z^2 - a^12*z^2 + 6*a^6*z^4 + 
   a^8*z^4 + a^10*z^4 + a^6*z^6, Knot[12, NonAlternating, 367] -> 
  -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[12, NonAlternating, 368] -> 
  -2/a^6 + 3/a^4 - z^2/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (5*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 369] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^4 - (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 370] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4/a^6 - (5*z^4)/a^4 - z^6/a^4, 
 Knot[12, NonAlternating, 371] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^6 + 
   (7*z^2)/a^2 - z^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 372] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 + 
   z^6/a^6, Knot[12, NonAlternating, 373] -> -2/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[12, NonAlternating, 374] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + 
   z^2/a^14 - (11*z^2)/a^12 + (9*z^2)/a^10 + (12*z^2)/a^8 - (7*z^4)/a^12 + 
   (14*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 375] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, Knot[12, NonAlternating, 376] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 + (7*z^2)/a^4 - (14*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^4 - (14*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 377] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 378] -> -1 + 3*a^2 - a^6 - 4*z^2 + 8*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 7*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 379] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 
   a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[12, NonAlternating, 380] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[12, NonAlternating, 381] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^6 - z^4/a^4, 
 Knot[12, NonAlternating, 382] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^4 - z^4/a^2, 
 Knot[12, NonAlternating, 383] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^2 - (2*z^4)/a^6 - z^4/a^4, 
 Knot[12, NonAlternating, 384] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (4*z^2)/a^8 - (9*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 385] -> 5 - 2/a^2 - 2*a^2 + 7*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 386] -> -4/a^10 + 5/a^8 + z^2/a^14 - (7*z^2)/a^12 + 
   z^2/a^10 + (15*z^2)/a^8 - (6*z^4)/a^12 + (9*z^4)/a^10 + (16*z^4)/a^8 - 
   z^6/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 387] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + 
   a^(-4) - (6*z^2)/a^10 + (15*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 - 
   z^4/a^10 + (11*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 388] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 + z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 389] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[12, NonAlternating, 390] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 7*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (3*z^4)/a^2 - a^2*z^4 + z^6, Knot[12, NonAlternating, 391] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - z^2 - 2*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - z^4 + 
   a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[12, NonAlternating, 392] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^2, Knot[12, NonAlternating, 393] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - 
   z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^2*z^4 + 2*a^4*z^4, 
 Knot[12, NonAlternating, 394] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^2 - a^2*z^4, 
 Knot[12, NonAlternating, 395] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^4*z^6, 
 Knot[12, NonAlternating, 396] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 397] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 398] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 
   3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[12, NonAlternating, 399] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 400] -> 1 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[12, NonAlternating, 401] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^4, Knot[12, NonAlternating, 402] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + 9*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 
   a^12*z^2 + 6*a^6*z^4 + a^10*z^4 + a^6*z^6, 
 Knot[12, NonAlternating, 403] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 404] -> 2*a^6 - a^12 + 3*a^4*z^2 + 4*a^6*z^2 + 
   a^8*z^2 + a^10*z^2 + a^4*z^4 + a^6*z^4, Knot[12, NonAlternating, 405] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + (5*z^2)/a^8 - (10*z^2)/a^6 + 
   (7*z^2)/a^4 + z^4/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 406] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - 
   (4*z^2)/a^12 - (3*z^2)/a^10 + (15*z^2)/a^8 + z^2/a^6 - z^4/a^12 + 
   (2*z^4)/a^10 + (13*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 407] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, 
 Knot[12, NonAlternating, 408] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[12, NonAlternating, 409] -> 
  4*a^6 - 3*a^8 + a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + a^6*z^6, Knot[12, NonAlternating, 410] -> 
  -a^(-8) + 2/a^4 - z^2 + (3*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 411] -> a^4 + 2*a^6 - 2*a^8 + z^2 - a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - a^2*z^4 + a^6*z^4, 
 Knot[12, NonAlternating, 412] -> -1 + 3*a^2 - a^6 - 2*z^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - z^4 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[12, NonAlternating, 413] -> 1 - 2/a^4 + 3/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 414] -> 
  a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + a^2*z^4 + 
   a^4*z^4, Knot[12, NonAlternating, 415] -> -a^(-6) + a^(-4) + a^(-2) - 
   z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[12, NonAlternating, 416] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - (6*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 - 
   (4*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[12, NonAlternating, 417] -> 
  a^(-12) - 6/a^10 + 6/a^8 - z^2/a^12 - (9*z^2)/a^10 + (19*z^2)/a^8 - 
   z^4/a^12 - (3*z^4)/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[12, NonAlternating, 418] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (6*z^4)/a^8 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 419] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 420] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 421] -> 
  2 + a^(-4) - 2/a^2 + z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[12, NonAlternating, 422] -> 
  2 - 2*a^2 + a^4 + z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[12, NonAlternating, 423] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + z^6, 
 Knot[12, NonAlternating, 424] -> 1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 425] -> -a^2 + 5*a^4 - 3*a^6 - 3*a^2*z^2 + 
   12*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 - 
   a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[12, NonAlternating, 426] -> 
  a^(-14) - a^(-12) - 5/a^10 + 6/a^8 - (3*z^2)/a^12 - (7*z^2)/a^10 + 
   (18*z^2)/a^8 - z^4/a^12 - (2*z^4)/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[12, NonAlternating, 427] -> -a^(-8) + 2/a^4 - z^2/a^8 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 428] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 429] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 2*a^4*z^4 - 2*a^6*z^4, 
 Knot[12, NonAlternating, 430] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 431] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 432] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 
   2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + a^10*z^2 + a^4*z^4 + 2*a^6*z^4, 
 Knot[12, NonAlternating, 433] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 
   4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + a^2*z^4 - 5*a^4*z^4 - 
   a^4*z^6, Knot[12, NonAlternating, 434] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 435] -> a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 436] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + 
   2*a^6*z^2 + a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[12, NonAlternating, 437] -> -1 - 3/a^4 + 5/a^2 + a^2 - a^4 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 + z^6/a^2, Knot[12, NonAlternating, 438] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^2, Knot[12, NonAlternating, 439] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 4*z^2 + 11*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 + 
   6*a^2*z^4 + a^2*z^6, Knot[12, NonAlternating, 440] -> 
  4 - a^(-2) - 3*a^2 + a^4 + z^2 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 441] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[12, NonAlternating, 442] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - z^4 - (2*z^4)/a^2, Knot[12, NonAlternating, 443] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + z^2 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   2*a^2*z^4, Knot[12, NonAlternating, 444] -> -1 - a^(-4) + 3/a^2 - a^2 + 
   a^4 - 2*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - a^2*z^4, 
 Knot[12, NonAlternating, 445] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^8 - z^4/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[12, NonAlternating, 446] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 447] -> a^(-2) - a^2 + a^4 - 3*z^2 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[12, NonAlternating, 448] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 9*z^4 - 
   (4*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 449] -> 6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 450] -> 1 + z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^4, Knot[12, NonAlternating, 451] -> -a^2 + 4*a^4 - a^6 - a^8 - 
   2*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 
   a^4*z^6, Knot[12, NonAlternating, 452] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^4 - 
   (2*z^4)/a^2, Knot[12, NonAlternating, 453] -> 
  a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - (3*z^2)/a^12 - (4*z^2)/a^10 + 
   (14*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + z^4/a^10 + (12*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 454] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 2*a^2*z^2 - 
   5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   a^6*z^6, Knot[12, NonAlternating, 455] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 + z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 - 
   z^4/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[12, NonAlternating, 456] -> -3 - 3/a^4 + 6/a^2 + 2*a^2 - a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 + z^6/a^2, Knot[12, NonAlternating, 457] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   a^2*z^4 + a^6*z^4, Knot[12, NonAlternating, 458] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 459] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + (4*z^2)/a^8 - (9*z^2)/a^6 + 
   (8*z^2)/a^4 - z^2/a^2 + z^4/a^8 - (8*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 460] -> -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 461] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 462] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + z^4, Knot[12, NonAlternating, 463] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[12, NonAlternating, 464] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^4 - 
   z^6/a^2, Knot[12, NonAlternating, 465] -> 3 - a^(-2) - a^2 + 8*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 466] -> -a^4 + 6*a^6 - 4*a^8 - 4*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 5*a^8*z^4 - a^4*z^6 + 
   7*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 467] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (7*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + 
   (5*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[12, NonAlternating, 468] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - 
   (5*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[12, NonAlternating, 469] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*a^2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 470] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[12, NonAlternating, 471] -> -a^(-6) + a^(-4) + a^(-2) - 
   2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 472] -> 2/a^14 - 9/a^12 + 8/a^10 + (3*z^2)/a^14 - 
   (28*z^2)/a^12 + (38*z^2)/a^10 + z^4/a^14 - (26*z^4)/a^12 + (57*z^4)/a^10 - 
   (9*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[12, NonAlternating, 473] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^14 - (12*z^2)/a^12 + (12*z^2)/a^10 + (11*z^2)/a^8 - (7*z^4)/a^12 + 
   (15*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 474] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + z^2/a^14 - (14*z^2)/a^12 + 
   (15*z^2)/a^10 + (10*z^2)/a^8 - (7*z^4)/a^12 + (16*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 475] -> -4 - 3/a^4 + 7/a^2 + a^2 - 5*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^4 + (6*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 476] -> 3/a^6 - 7/a^4 + 5/a^2 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[12, NonAlternating, 477] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   (5*z^2)/a^12 + (3*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + 
   (4*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 478] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^4 + z^4/a^2, 
 Knot[12, NonAlternating, 479] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[12, NonAlternating, 480] -> -1 + a^(-4) + a^4 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 481] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 482] -> 1 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 483] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^2, Knot[12, NonAlternating, 484] -> 
  3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 + z^6, Knot[12, NonAlternating, 485] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, NonAlternating, 486] -> -1 + 4*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[12, NonAlternating, 487] -> 2/a^6 - 5/a^4 + 4/a^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - (6*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[12, NonAlternating, 488] -> 
  -2 - 3/a^4 + 6/a^2 - 2*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - 
   z^4/a^4 + (6*z^4)/a^2 + z^6/a^2, Knot[12, NonAlternating, 489] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   z^4 - z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 490] -> 3 - a^(-2) - a^2 + 5*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[12, NonAlternating, 491] -> 2 - a^(-2) + a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 492] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^4 + 
   2*a^2*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 493] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6 - a^2*z^6, Knot[12, NonAlternating, 494] -> 
  4 + 3/a^4 - 6/a^2 + 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 - 
   (14*z^2)/a^2 + z^4 - (5*z^4)/a^6 + (12*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[12, NonAlternating, 495] -> 
  3*a^4 - 2*a^6 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   4*z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + z^6, 
 Knot[12, NonAlternating, 496] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + (4*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^6, Knot[12, NonAlternating, 497] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[12, NonAlternating, 498] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - 
   (3*z^4)/a^2, Knot[12, NonAlternating, 499] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - 
   4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[12, NonAlternating, 500] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 + 6*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 
   z^4 + 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, NonAlternating, 501] -> 1 - a^(-2) + 2*a^2 - a^6 + z^2 - z^2/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 502] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + 
   z^2/a^14 - (13*z^2)/a^12 + (11*z^2)/a^10 + (11*z^2)/a^8 - (7*z^4)/a^12 + 
   (15*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 503] -> 
  a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - (5*z^2)/a^12 + (2*z^2)/a^10 + 
   (9*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + (4*z^4)/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 504] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 - (4*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 505] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 2*z^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 + a^4*z^6, Knot[12, NonAlternating, 506] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[12, NonAlternating, 507] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 
   a^4*z^6, Knot[12, NonAlternating, 508] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 
   (7*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 - (4*z^4)/a^6 + (14*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 509] -> 4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (14*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (12*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, NonAlternating, 510] -> 
  a^4 + 3*a^8 - 4*a^10 + a^12 + 3*a^4*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 
   2*a^4*z^4 - a^6*z^4 + 4*a^8*z^4 - a^6*z^6, 
 Knot[12, NonAlternating, 511] -> 2 - 2*a^2 + a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 512] -> -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 
   7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 513] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^8 + (4*z^2)/a^4 + z^4/a^10 - 
   z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[12, NonAlternating, 514] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + a^2*z^2 - 
   2*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   a^6*z^6, Knot[12, NonAlternating, 515] -> -a^(-6) + a^(-4) + a^(-2) + 
   z^2/a^8 - z^2/a^6 + (2*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[12, NonAlternating, 516] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 517] -> 4 - a^(-4) - 2*a^2 + 13*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 14*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 518] -> 
  2/a^12 - 8/a^10 + 7/a^8 + z^2/a^14 - (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (20*z^2)/a^8 - (2*z^4)/a^12 - (4*z^4)/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[12, NonAlternating, 519] -> -2 + a^(-2) + a^2 + 3*a^4 - 
   2*a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 520] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 2*a^4*z^4 - 2*a^6*z^4, 
 Knot[12, NonAlternating, 521] -> 1 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 522] -> 
  a^2 - 3*a^4 + 7*a^6 - 4*a^8 + a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[12, NonAlternating, 523] -> a^4 + 2*a^6 - 2*a^8 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + a^4*z^4 + a^6*z^4, Knot[12, NonAlternating, 524] -> 
  -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[12, NonAlternating, 525] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - 4*z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 
   2*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, Knot[12, NonAlternating, 526] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (2*z^2)/a^8 - (10*z^2)/a^6 + (12*z^2)/a^4 - 
   (3*z^2)/a^2 - (6*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[12, NonAlternating, 527] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + (6*z^2)/a^8 - (11*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[12, NonAlternating, 528] -> 
  3*a^6 - a^8 - a^10 + 8*a^6*z^2 - a^12*z^2 + 6*a^6*z^4 + a^8*z^4 + 
   a^10*z^4 + a^6*z^6, Knot[12, NonAlternating, 529] -> 
  a^(-6) - a^(-4) + a^2 - 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^4 + z^4/a^2 + z^6/a^2, Knot[12, NonAlternating, 530] -> 
  a^(-6) - a^(-4) + a^2 - (2*z^2)/a^4 - a^2*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 531] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 14*z^2 - z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   14*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 532] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 533] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 5*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (13*z^2)/a^2 + 4*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 534] -> 3 - a^(-2) - a^2 + 2*z^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 535] -> 3*a^4 - 2*a^6 - z^2 + z^2/a^2 - a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - z^4 - a^2*z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 536] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 537] -> -2 + a^(-4) + 2*a^2 - 2*z^2 - 
   z^2/a^2 + z^4 - z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, NonAlternating, 538] -> a^(-8) - 2/a^6 + 2/a^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 539] -> 1 + 3*z^2 + z^2/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 540] -> 
  -1 + a^(-2) + a^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 541] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + 4*a^4*z^2 - 2*a^6*z^2 - z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 542] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - z^4 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^2*z^6, Knot[12, NonAlternating, 543] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[12, NonAlternating, 544] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^4 - 
   z^2/a^2 - z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 545] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 + 
   (2*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[12, NonAlternating, 546] -> 1 - 2*z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - z^4 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[12, NonAlternating, 547] -> -1 + a^(-2) + a^2 - z^2 - 
   z^2/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 548] -> 7 - 3/a^2 - 3*a^2 + 10*z^2 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 4*z^4 - 3*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 549] -> -2/a^6 + 3/a^4 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 + z^6/a^6, 
 Knot[12, NonAlternating, 550] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 2*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + a^2*z^4 + a^4*z^4, Knot[12, NonAlternating, 551] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[12, NonAlternating, 552] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 + z^2/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 
   a^6*z^2 - 5*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 553] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^2 - a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 554] -> 3*a^2 - 2*a^4 - a^6 + a^8 - z^2 + z^2/a^2 - 
   a^6*z^2 - z^4 - a^2*z^4, Knot[12, NonAlternating, 555] -> 
  4*a^6 - 3*a^8 + 4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - z^4 + 2*a^2*z^4 - 
   4*a^4*z^4 + a^2*z^6, Knot[12, NonAlternating, 556] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^6 - a^2*z^2 + z^4 + z^4/a^4 + 
   (2*z^4)/a^2, Knot[12, NonAlternating, 557] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^2 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 558] -> -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - z^4 + 
   z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 559] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[12, NonAlternating, 560] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 561] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[12, NonAlternating, 562] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^2 - a^2*z^4, 
 Knot[12, NonAlternating, 563] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^8 + 
   z^2/a^6 - (6*z^2)/a^4 + z^2/a^2 - z^4/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[12, NonAlternating, 564] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - a^4*z^4 - a^6*z^4, 
 Knot[12, NonAlternating, 565] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 4*a^2*z^2 + 
   2*a^6*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[12, NonAlternating, 566] -> 1 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 - z^4 - 
   2*a^2*z^4 - a^4*z^4, Knot[12, NonAlternating, 567] -> 
  2 - 2*a^2 + a^4 - 4*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 568] -> 1 - 2/a^4 + 3/a^2 - a^2 + z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[12, NonAlternating, 569] -> -2 + 4*a^2 + a^4 - 2*a^6 - 5*z^2 + 
   10*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 8*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 570] -> 
  a^4 + 2*a^6 - 2*a^8 - 3*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 - 4*a^4*z^4 + 
   17*a^6*z^4 - 5*a^8*z^4 - a^4*z^6 + 7*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[12, NonAlternating, 571] -> -1 + a^(-2) + a^2 - 13*z^2 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 16*z^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[12, NonAlternating, 572] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 
   a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 573] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 574] -> a^(-14) - 7/a^12 + 7/a^10 + (3*z^2)/a^14 - 
   (27*z^2)/a^12 + (38*z^2)/a^10 + z^4/a^14 - (26*z^4)/a^12 + (57*z^4)/a^10 - 
   (9*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[12, NonAlternating, 575] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) + 
   z^2/a^14 - (12*z^2)/a^12 + (13*z^2)/a^10 + (11*z^2)/a^8 - (7*z^4)/a^12 + 
   (15*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 576] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + z^2/a^14 - (10*z^2)/a^12 + 
   (8*z^2)/a^10 + (13*z^2)/a^8 - (6*z^4)/a^12 + (11*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 577] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 + z^6/a^6, Knot[12, NonAlternating, 578] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 + (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 8*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 579] -> 2 - a^2 - a^4 + a^6 + 5*z^2 - (3*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - z^4/a^2 + z^6, 
 Knot[12, NonAlternating, 580] -> -2 + 5*a^2 - a^4 - a^6 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - a^6*z^2 + z^4 + 3*a^2*z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 581] -> a^(-14) - 5/a^12 + 4/a^10 + a^(-6) - 
   (5*z^2)/a^12 + (7*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - z^4/a^12 + 
   (5*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 582] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + z^4/a^6, Knot[12, NonAlternating, 583] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 5*z^2 + z^2/a^6 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 - z^4/a^4 - (2*z^4)/a^2, Knot[12, NonAlternating, 584] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 585] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + 
   a^(-6) - (5*z^2)/a^12 + (4*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - 
   z^4/a^12 + (4*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[12, NonAlternating, 586] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   2*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[12, NonAlternating, 587] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6, Knot[12, NonAlternating, 588] -> 
  2 - 2*a^2 + a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[12, NonAlternating, 589] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^4/a^10 - (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[12, NonAlternating, 590] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^8 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 591] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   (4*z^2)/a^12 - (3*z^2)/a^10 + (17*z^2)/a^8 - z^4/a^12 - z^4/a^10 + 
   (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, Knot[12, NonAlternating, 592] -> 
  2*a^4 - a^8 - 3*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - 
   4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[12, NonAlternating, 593] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 594] -> -3/a^10 + 3/a^8 + a^(-6) - z^2/a^12 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 + (6*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^8 + z^6/a^6, Knot[12, NonAlternating, 595] -> 
  3*a^4 - 2*a^6 - z^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 596] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - z^4 + 2*a^2*z^4 + 
   8*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[12, NonAlternating, 597] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 598] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 + z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 599] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 4*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + 
   z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 600] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - (5*z^2)/a^12 + (5*z^2)/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^12 + (4*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 601] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - z^4 + z^4/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, Knot[12, NonAlternating, 602] -> 
  -5 + 3/a^2 + 3*a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 603] -> -a^(-8) + 2/a^4 - z^2/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 604] -> 2*a^4 - a^8 - a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 - 3*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - a^4*z^6 + 6*a^6*z^6 - 
   a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 605] -> 
  a^(-2) - a^2 + a^4 - 11*z^2 + (6*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 15*z^4 + 
   (5*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, 
 Knot[12, NonAlternating, 606] -> 2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 607] -> 
  3*a^4 - 2*a^6 - 2*z^2 + 2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - z^4 + 
   3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, NonAlternating, 608] -> -3 + a^(-2) + 4*a^2 - a^6 - 3*z^2 + 
   5*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[12, NonAlternating, 609] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^8 - 
   (7*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^6 + (12*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 610] -> 1 + 8*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   12*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 611] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[12, NonAlternating, 612] -> 3 + a^(-8) - a^(-6) + a^(-4) - 
   3/a^2 + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[12, NonAlternating, 613] -> 2 - 2*a^2 + a^4 + 7*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (7*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 614] -> a^(-4) - a^(-2) + a^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 615] -> 1 + 2/a^4 - 3/a^2 + a^2 + 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 616] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[12, NonAlternating, 617] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 + 2*a^8*z^2 + a^2*z^4 - 4*a^4*z^4 - a^4*z^6, 
 Knot[12, NonAlternating, 618] -> 2 + a^(-4) - 2/a^2 + 6*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 619] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 
   10*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 9*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[12, NonAlternating, 620] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, Knot[12, NonAlternating, 621] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 6*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 
   a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + a^4*z^6, 
 Knot[12, NonAlternating, 622] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 10*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 623] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (15*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (5*z^4)/a^6 + 
   (13*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[12, NonAlternating, 624] -> -2/a^10 + 4/a^8 - 4/a^6 + 
   3/a^4 - (2*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 + 
   (7*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 625] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 9*z^2 - (2*z^2)/a^2 - 15*a^2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 + 8*z^4 - z^4/a^2 - 14*a^2*z^4 + 5*a^4*z^4 + 2*z^6 - 6*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 626] -> 
  a^4 + 3*a^8 - 4*a^10 + a^12 + 5*a^4*z^2 - 4*a^6*z^2 + 9*a^8*z^2 - 
   4*a^10*z^2 + 3*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - 2*a^6*z^6, 
 Knot[12, NonAlternating, 627] -> 7 - 3/a^2 - 3*a^2 + 16*z^2 - z^2/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + 15*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 628] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[12, NonAlternating, 629] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 + 5*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - z^4 + 
   4*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[12, NonAlternating, 630] -> 
  1 + a^(-6) - 2/a^2 + a^2 + 3*z^2 - z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^2 - a^2*z^4 + z^6, Knot[12, NonAlternating, 631] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 632] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 2*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - 5*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 633] -> 
  1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[12, NonAlternating, 634] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, Knot[12, NonAlternating, 635] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[12, NonAlternating, 636] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 637] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - (3*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^4, Knot[12, NonAlternating, 638] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (2*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 639] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 640] -> -a^(-12) - 2/a^10 + 4/a^8 - (2*z^2)/a^12 - 
   (5*z^2)/a^10 + (18*z^2)/a^8 - z^4/a^12 - (2*z^4)/a^10 + (20*z^4)/a^8 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[12, NonAlternating, 641] -> 
  3*a^4 - 2*a^6 - 4*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 4*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[12, NonAlternating, 642] -> 4*a^8 - 2*a^10 - a^12 + 4*a^4*z^2 + 
   2*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + a^4*z^4, 
 Knot[12, NonAlternating, 643] -> -a^(-10) + a^(-8) + a^(-2) + (3*z^2)/a^8 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[12, NonAlternating, 644] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - z^2/a^12 - z^2/a^10 + (6*z^2)/a^8 + 
   (6*z^2)/a^6 + (5*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 645] -> a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - z^4 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[12, NonAlternating, 646] -> -a^(-6) + a^(-4) + a^(-2) + 
   2*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 647] -> 
  -4/a^10 + 5/a^8 - (2*z^2)/a^12 - (6*z^2)/a^10 + (18*z^2)/a^8 - z^4/a^12 - 
   (2*z^4)/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[12, NonAlternating, 648] -> -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^8 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 649] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 650] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^2, Knot[12, NonAlternating, 651] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^8 - (5*z^2)/a^6 + (10*z^2)/a^4 - 
   (5*z^2)/a^2 - (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[12, NonAlternating, 652] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 653] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^10 + (7*z^2)/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 + (5*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[12, NonAlternating, 654] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + (3*z^2)/a^8 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 655] -> -a^(-12) + 2/a^6 - z^2/a^12 - z^2/a^10 + 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (5*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 656] -> 2*a^2 - a^4 - z^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, NonAlternating, 657] -> 4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 658] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[12, NonAlternating, 659] -> 
  -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[12, NonAlternating, 660] -> a^6 + 3*a^8 - 3*a^10 + 
   7*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - a^12*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 
   a^10*z^4 + a^6*z^6, Knot[12, NonAlternating, 661] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[12, NonAlternating, 662] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 663] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 664] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[12, NonAlternating, 665] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 3*z^2 - 9*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + z^4 - 6*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + a^4*z^6, 
 Knot[12, NonAlternating, 666] -> -a^(-8) + 2/a^4 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[12, NonAlternating, 667] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[12, NonAlternating, 668] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 669] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2 + 
   z^2/a^4 + z^2/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[12, NonAlternating, 670] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 - 
   (3*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 - z^4/a^2 + 17*a^2*z^4 - 5*a^4*z^4 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[12, NonAlternating, 671] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[12, NonAlternating, 672] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 + 3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   3*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, Knot[12, NonAlternating, 673] -> 
  -3 - a^(-2) + 11*a^2 - 6*a^4 - 4*z^2 - (3*z^2)/a^2 + 25*a^2*z^2 - 
   11*a^4*z^2 - z^4 - z^4/a^2 + 22*a^2*z^4 - 6*a^4*z^4 + 8*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[12, NonAlternating, 674] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (5*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[12, NonAlternating, 675] -> 
  -4 - 5/a^4 + 10/a^2 - 8*z^2 - (8*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 - 
   (5*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[12, NonAlternating, 676] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 8*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + 5*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[12, NonAlternating, 677] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 678] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[12, NonAlternating, 679] -> 5/a^14 - 15/a^12 + 11/a^10 + 
   (7*z^2)/a^14 - (39*z^2)/a^12 + (42*z^2)/a^10 + (2*z^4)/a^14 - 
   (32*z^4)/a^12 + (58*z^4)/a^10 - (10*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[12, NonAlternating, 680] -> 
  3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + (2*z^2)/a^14 - (15*z^2)/a^12 + 
   (10*z^2)/a^10 + (12*z^2)/a^8 - (8*z^4)/a^12 + (14*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 681] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 - (3*z^2)/a^2 + 
   17*a^2*z^2 - 8*a^4*z^2 - z^4/a^2 + 17*a^2*z^4 - 5*a^4*z^4 + 7*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[12, NonAlternating, 682] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[12, NonAlternating, 683] -> 
  4*a^6 - 3*a^8 - 2*a^4*z^2 + 14*a^6*z^2 - 6*a^8*z^2 - 3*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[12, NonAlternating, 684] -> a^4 + 2*a^6 - 2*a^8 - a^4*z^2 + 
   11*a^6*z^2 - 5*a^8*z^2 - 3*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 685] -> 
  2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[12, NonAlternating, 686] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 687] -> a^2 + a^6 - a^8 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, NonAlternating, 688] -> 4/a^14 - 13/a^12 + 10/a^10 + (6*z^2)/a^14 - 
   (36*z^2)/a^12 + (41*z^2)/a^10 + (2*z^4)/a^14 - (31*z^4)/a^12 + 
   (58*z^4)/a^10 - (10*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[12, NonAlternating, 689] -> 3/a^14 - 9/a^12 + 5/a^10 + 
   2/a^8 + (2*z^2)/a^14 - (16*z^2)/a^12 + (13*z^2)/a^10 + (11*z^2)/a^8 - 
   (8*z^4)/a^12 + (15*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 690] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 + 2*z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[12, NonAlternating, 691] -> 2/a^14 - 5/a^12 + 4/a^8 + (2*z^2)/a^14 - 
   (13*z^2)/a^12 + (7*z^2)/a^10 + (13*z^2)/a^8 - (8*z^4)/a^12 + 
   (13*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[12, NonAlternating, 692] -> 
  2/a^14 - 5/a^12 + 4/a^8 + (2*z^2)/a^14 - (13*z^2)/a^12 + (7*z^2)/a^10 + 
   (13*z^2)/a^8 - (8*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[12, NonAlternating, 693] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (7*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 694] -> a^(-12) - 6/a^10 + 6/a^8 - z^2/a^12 - 
   (9*z^2)/a^10 + (19*z^2)/a^8 - z^4/a^12 - (3*z^4)/a^10 + (20*z^4)/a^8 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[12, NonAlternating, 695] -> 
  7 - 3/a^2 - 3*a^2 + 15*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 + 14*z^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 696] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (7*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[12, NonAlternating, 697] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 - (6*z^4)/a^6 + 
   (12*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 698] -> a^4 + 2*a^6 - 2*a^8 + 4*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 
   a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[12, NonAlternating, 699] -> 
  2*a^4 - a^8 + a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + a^10*z^2 - a^6*z^4 - a^8*z^4, 
 Knot[12, NonAlternating, 700] -> 2*a^4 - a^6 + a^8 - a^10 + 5*a^4*z^2 - 
   a^6*z^2 + a^10*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[12, NonAlternating, 701] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   a^4*z^4 - a^6*z^4 - a^8*z^4, Knot[12, NonAlternating, 702] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + a^2*z^2 - z^4 + z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[12, NonAlternating, 703] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 704] -> 2*a^2 - a^4 - z^2/a^2 + 3*a^2*z^2 - 
   a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, Knot[12, NonAlternating, 705] -> 
  3 - a^(-2) - a^2 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 706] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 
   10*z^2 + z^2/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 12*z^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 707] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^4*z^2 + 
   15*a^6*z^2 - 6*a^8*z^2 - 3*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 708] -> 
  -3 - 4/a^4 + 8/a^2 - 8*z^2 - (8*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - 
   (5*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[12, NonAlternating, 709] -> -a^(-4) + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[12, NonAlternating, 710] -> 
  1 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[12, NonAlternating, 711] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 2*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 8*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 712] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + 7*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + 
   a^4*z^6, Knot[12, NonAlternating, 713] -> -2 + 6*a^2 - 3*a^4 - z^2 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[12, NonAlternating, 714] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 2*z^4 - 
   z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, NonAlternating, 715] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^2 + 2*a^2*z^4, 
 Knot[12, NonAlternating, 716] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[12, NonAlternating, 717] -> 
  a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^6*z^6, Knot[12, NonAlternating, 718] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[12, NonAlternating, 719] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, Knot[12, NonAlternating, 720] -> 
  -2/a^6 + 3/a^4 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 721] -> -5 + 12*a^2 - 6*a^4 - 11*z^2 + 28*a^2*z^2 - 
   11*a^4*z^2 - 6*z^4 + 23*a^2*z^4 - 6*a^4*z^4 - z^6 + 8*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[12, NonAlternating, 722] -> 4/a^10 - 11/a^8 + 8/a^6 + 
   (8*z^2)/a^10 - (24*z^2)/a^8 + (18*z^2)/a^6 + (5*z^4)/a^10 - (19*z^4)/a^8 + 
   (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[12, NonAlternating, 723] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 6*z^2 - 
   (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 5*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[12, NonAlternating, 724] -> 
  2/a^10 - 4/a^8 + 3/a^4 + (3*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 725] -> 
  4/a^14 - 13/a^12 + 10/a^10 + (4*z^2)/a^14 - (32*z^2)/a^12 + (39*z^2)/a^10 + 
   z^4/a^14 - (27*z^4)/a^12 + (57*z^4)/a^10 - (9*z^6)/a^12 + (36*z^6)/a^10 - 
   z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, Knot[12, NonAlternating, 726] -> 
  a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4, 
 Knot[12, NonAlternating, 727] -> -1 + a^(-2) + a^2 - z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[12, NonAlternating, 728] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 729] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[12, NonAlternating, 730] -> -a^(-8) + 2/a^4 - z^2/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + z^6/a^4, 
 Knot[12, NonAlternating, 731] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 - 7*a^2*z^4 + 3*a^4*z^4 - 
   2*a^2*z^6, Knot[12, NonAlternating, 732] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, Knot[12, NonAlternating, 733] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^6 - z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[12, NonAlternating, 734] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 735] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4, 
 Knot[12, NonAlternating, 736] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   6*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 4*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + 2*a^4*z^6, Knot[12, NonAlternating, 737] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^2 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[12, NonAlternating, 738] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[12, NonAlternating, 739] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 2*a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 
   a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[12, NonAlternating, 740] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 + 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 741] -> -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 
   11*a^2*z^2 - 2*a^6*z^2 - 2*z^4 + 8*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 742] -> 
  3*a^4 - 2*a^6 - a^2*z^2 + 5*a^4*z^2 - a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 743] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 2*z^4 + 3*a^2*z^4 + a^4*z^4, Knot[12, NonAlternating, 744] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^6 - z^6/a^4, Knot[12, NonAlternating, 745] -> 
  2*a^2 - a^4 - z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - z^6, Knot[12, NonAlternating, 746] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + 
   2*a^2*z^4 + a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[12, NonAlternating, 747] -> 3*a^4 - 2*a^6 + 2*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^6*z^8, Knot[12, NonAlternating, 748] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[12, NonAlternating, 749] -> 
  -3/a^8 + 4/a^6 - (4*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^8 + (6*z^4)/a^6 + 
   z^6/a^6, Knot[12, NonAlternating, 750] -> 3/a^10 - 9/a^8 + 7/a^6 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^10 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 - z^6/a^8 + z^6/a^6, Knot[12, NonAlternating, 751] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[12, NonAlternating, 752] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[12, NonAlternating, 753] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - 
   z^6/a^6, Knot[12, NonAlternating, 754] -> -1 - 2/a^4 + 4/a^2 + 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 755] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^2 - 
   (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[12, NonAlternating, 756] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[12, NonAlternating, 757] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   z^2 + z^2/a^6 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 758] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   (4*z^2)/a^12 - z^2/a^10 + (13*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + 
   (2*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[12, NonAlternating, 759] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^4/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2, Knot[12, NonAlternating, 760] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 761] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (14*z^2)/a^4 - (11*z^2)/a^2 + z^4 - (5*z^4)/a^6 + 
   (13*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[12, NonAlternating, 762] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 + z^2/a^8 - (7*z^2)/a^6 + (13*z^2)/a^4 - (11*z^2)/a^2 + 
   z^4 - (5*z^4)/a^6 + (13*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[12, NonAlternating, 763] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2 - z^2/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - z^6, Knot[12, NonAlternating, 764] -> 
  -4/a^10 + 5/a^8 - z^2/a^12 - (5*z^2)/a^10 + (13*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[12, NonAlternating, 765] -> a^(-8) - 4/a^6 + 4/a^4 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[12, NonAlternating, 766] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + (5*z^2)/a^8 - (7*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[12, NonAlternating, 767] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 6*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 4*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[12, NonAlternating, 768] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[12, NonAlternating, 769] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - a^2*z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 770] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - 
   (2*z^6)/a^6, Knot[12, NonAlternating, 771] -> 
  a^2 + a^4 - a^6 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[12, NonAlternating, 772] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - z^2/a^6 - z^2/a^4 + (10*z^2)/a^2 - 
   2*z^4 - z^4/a^6 + z^4/a^4 + (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[12, NonAlternating, 773] -> 4*a^2 - 4*a^4 + a^8 + 6*a^2*z^2 - 
   10*a^4*z^2 + 2*a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - 
   2*a^4*z^6 - a^6*z^6, Knot[12, NonAlternating, 774] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + z^2 - 4*a^4*z^2 - a^6*z^2 + a^8*z^2 - a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4, Knot[12, NonAlternating, 775] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (10*z^2)/a^2 - 
   a^2*z^2 + 6*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 776] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 777] -> 
  1 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[12, NonAlternating, 778] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4, Knot[12, NonAlternating, 779] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 780] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^2, Knot[12, NonAlternating, 781] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 
   14*z^2 - (7*z^2)/a^2 - 6*a^2*z^2 + 14*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   6*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 782] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 4*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 783] -> -3/a^6 + 5/a^4 - a^(-2) + z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^4, Knot[12, NonAlternating, 784] -> 
  2 - a^(-6) + a^(-4) - a^2 + 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 785] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + a^8*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, Knot[12, NonAlternating, 786] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^6 + z^2/a^4 + z^2/a^2 - z^4 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[12, NonAlternating, 787] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 + (5*z^2)/a^4 - (12*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^4 - (13*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 788] -> a^(-6) - a^(-4) + a^2 - 2*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[12, NonAlternating, 789] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - 
   a^6 + 3*z^2 - 11*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 2*z^4 - 8*a^2*z^4 + 
   3*a^4*z^4 - 2*a^2*z^6, Knot[12, NonAlternating, 790] -> 
  4 - 2/a^2 - a^4 + 9*z^2 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 10*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 791] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 792] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + z^2 + 
   z^2/a^2 - 11*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - 13*a^2*z^4 + 4*a^4*z^4 + z^6 - 
   6*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 793] -> 
  a^(-8) + a^(-6) - 6/a^4 + 5/a^2 + (3*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4, Knot[12, NonAlternating, 794] -> 
  a^(-4) - 2*a^2 + 2*a^4 - 2*z^2 - 5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[12, NonAlternating, 795] -> 
  2 + a^(-8) - 2/a^4 + 2*z^2 + z^2/a^8 - (5*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2, Knot[12, NonAlternating, 796] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[12, NonAlternating, 797] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4/a^8 - 
   (2*z^4)/a^6, Knot[12, NonAlternating, 798] -> 
  3*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + 
   2*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[12, NonAlternating, 799] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 - (7*z^2)/a^2 - (3*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[12, NonAlternating, 800] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 6*a^2*z^2 + 4*a^4*z^2 + 3*z^4 - 9*a^2*z^4 + 
   3*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[12, NonAlternating, 801] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^8 - z^4/a^6 + 
   z^4/a^4, Knot[12, NonAlternating, 802] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - 
   (3*z^2)/a^2 - a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 803] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - z^2/a^8 + z^2/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[12, NonAlternating, 804] -> 
  4 + a^(-6) + a^(-4) - 5/a^2 + 6*z^2 + z^2/a^6 + (3*z^2)/a^4 - 
   (14*z^2)/a^2 + 4*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + z^6 + z^6/a^4 - 
   (6*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 805] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 806] -> 2/a^12 - 8/a^10 + 7/a^8 - (11*z^2)/a^10 + 
   (18*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^10 + (14*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[12, NonAlternating, 807] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + (6*z^2)/a^8 - (13*z^2)/a^6 + 
   (9*z^2)/a^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[12, NonAlternating, 808] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, Knot[12, NonAlternating, 809] -> 
  4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 4*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (13*z^2)/a^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - 
   z^6/a^2, Knot[12, NonAlternating, 810] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 
   2*a^4 + 12*z^2 - (6*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6, Knot[12, NonAlternating, 811] -> 
  -3/a^6 + 5/a^4 - a^(-2) - (5*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[12, NonAlternating, 812] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^2, Knot[12, NonAlternating, 813] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + 
   3*z^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 2*z^4 - 8*a^2*z^4 + 3*a^4*z^4 - 
   2*a^2*z^6, Knot[12, NonAlternating, 814] -> -a^(-10) + 3/a^8 - 2/a^6 - 
   2/a^4 + 3/a^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^6 - (3*z^4)/a^4, Knot[12, NonAlternating, 815] -> 
  3 + 2/a^4 - 4/a^2 + 7*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 816] -> 2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - 7*a^2*z^4 + 3*a^4*z^4 - 
   2*a^2*z^6, Knot[12, NonAlternating, 817] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   5*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[12, NonAlternating, 818] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 819] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (8*z^2)/a^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[12, NonAlternating, 820] -> 
  3*a^6 - a^8 - a^10 + 11*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 9*a^6*z^4 - 
   8*a^8*z^4 + 3*a^10*z^4 + 2*a^6*z^6 - 5*a^8*z^6 + a^10*z^6 - a^8*z^8, 
 Knot[12, NonAlternating, 821] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 + (7*z^2)/a^2 + 
   7*a^2*z^2 - 17*z^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[12, NonAlternating, 822] -> 3/a^6 - 7/a^4 + 5/a^2 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 + (5*z^4)/a^6 - (18*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[12, NonAlternating, 823] -> a^4 + a^6 - a^10 + 4*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[12, NonAlternating, 824] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 7*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 825] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[12, NonAlternating, 826] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^4, Knot[12, NonAlternating, 827] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^6 - (6*z^2)/a^2 + 3*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 828] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 7*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 829] -> 3*a^4 - 2*a^6 + 2*a^2*z^2 + a^6*z^2 + 
   3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[12, NonAlternating, 830] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^10 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 - z^6/a^8 + z^6/a^6, Knot[12, NonAlternating, 831] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[12, NonAlternating, 832] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + 
   a^8*z^4 - 2*a^4*z^6 - a^6*z^6, Knot[12, NonAlternating, 833] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - (2*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + 
   2*z^4 - z^4/a^2 + 8*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[12, NonAlternating, 834] -> -a^(-8) + 2/a^4 + z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[12, NonAlternating, 835] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + z^4 + 6*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[12, NonAlternating, 836] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[12, NonAlternating, 837] -> -1 + 4*a^2 - 2*a^4 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[12, NonAlternating, 838] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^4, Knot[12, NonAlternating, 839] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[12, NonAlternating, 840] -> 
  3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 3*z^2 - 11*a^2*z^2 + 10*a^4*z^2 - 
   4*a^6*z^2 + 3*z^4 - 10*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 841] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 10*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 8*a^2*z^4 + 3*a^4*z^4 - 2*a^2*z^6, 
 Knot[12, NonAlternating, 842] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 843] -> 1 - a^(-6) + 2/a^4 - a^(-2) - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[12, NonAlternating, 844] -> 
  5 + 2/a^4 - 4/a^2 - 3*a^2 + a^6 + 9*z^2 + z^2/a^4 - (9*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   2*z^6 + a^2*z^6, Knot[12, NonAlternating, 845] -> 
  -a^(-4) + 2/a^2 - (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[12, NonAlternating, 846] -> -2 - a^(-4) + 3/a^2 + a^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[12, NonAlternating, 847] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + 
   z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[12, NonAlternating, 848] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[12, NonAlternating, 849] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, Knot[12, NonAlternating, 850] -> 
  -2/a^12 + 3/a^8 - (3*z^2)/a^12 - (2*z^2)/a^10 + (17*z^2)/a^8 - z^4/a^12 - 
   z^4/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[12, NonAlternating, 851] -> -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^12 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 + (5*z^2)/a^6 + (6*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^8 + z^6/a^6, Knot[12, NonAlternating, 852] -> 
  -a^(-4) + 2/a^2 + 5*z^2 - z^2/a^4 - 3*a^2*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 853] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 + (4*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 7*z^4 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[12, NonAlternating, 854] -> -a^(-8) + 2/a^4 - z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[12, NonAlternating, 855] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 10*z^2 + (5*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 
   8*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[12, NonAlternating, 856] -> -3 + 3/a^2 + a^6 - 5*z^2 + (2*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - 2*a^2*z^4 - a^4*z^4, 
 Knot[12, NonAlternating, 857] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[12, NonAlternating, 858] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   5*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 2*a^4*z^6, Knot[12, NonAlternating, 859] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[12, NonAlternating, 860] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 6*a^2*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[12, NonAlternating, 861] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[12, NonAlternating, 862] -> -3/a^6 + 5/a^4 - a^(-2) - z^2/a^8 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[12, NonAlternating, 863] -> -a^(-8) + 2/a^4 + z^2/a^10 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - 
   (2*z^6)/a^6, Knot[12, NonAlternating, 864] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + z^2/a^6 + z^2/a^4 - (9*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 865] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 + 
   z^2/a^2 - 13*a^2*z^2 + 6*a^4*z^2 + 3*z^4 - 14*a^2*z^4 + 4*a^4*z^4 + z^6 - 
   6*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 866] -> 
  3 - a^(-2) - a^2 + 8*z^2 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[12, NonAlternating, 867] -> 3*a^6 - a^8 - a^10 + 3*a^4*z^2 + 
   4*a^6*z^2 + 2*a^4*z^4 - a^8*z^4 + a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[12, NonAlternating, 868] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 12*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^2, Knot[12, NonAlternating, 869] -> 
  1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (12*z^2)/a^4 - (7*z^2)/a^2 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[12, NonAlternating, 870] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 
   a^2*z^2 + (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[12, NonAlternating, 871] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^4, Knot[12, NonAlternating, 872] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 10*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 873] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 5*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 8*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[12, NonAlternating, 874] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[12, NonAlternating, 875] -> 3 + a^(-6) - 3/a^2 + 6*z^2 + z^2/a^6 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 + 4*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + z^6 + 
   z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, Knot[12, NonAlternating, 876] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 877] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[12, NonAlternating, 878] -> 2 + a^(-4) - 2/a^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 879] -> 3*a^2 - 3*a^4 + a^6 + 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[12, NonAlternating, 880] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 6*z^4 + 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[12, NonAlternating, 881] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - 
   (6*z^2)/a^10 + (6*z^2)/a^8 + (6*z^2)/a^6 + (4*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[12, NonAlternating, 882] -> 5*a^6 - 5*a^8 + a^10 + 
   12*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 9*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 + 
   2*a^6*z^6 - 5*a^8*z^6 + a^10*z^6 - a^8*z^8, 
 Knot[12, NonAlternating, 883] -> -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[12, NonAlternating, 884] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^4 + (3*z^4)/a^2, Knot[12, NonAlternating, 885] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[12, NonAlternating, 886] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   z^4 - z^4/a^6 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[12, NonAlternating, 887] -> 2/a^8 - 6/a^6 + 5/a^4 + z^2/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[12, NonAlternating, 888] -> 2/a^14 - 9/a^12 + 8/a^10 + (5*z^2)/a^14 - 
   (32*z^2)/a^12 + (40*z^2)/a^10 + (2*z^4)/a^14 - (30*z^4)/a^12 + 
   (58*z^4)/a^10 - (10*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[13, Alternating, 1] -> 3 - 6*a^2 + 7*a^4 - 4*a^6 + a^8 + 
   8*z^2 - (2*z^2)/a^2 - 15*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2] -> 6 - a^(-6) + 4/a^4 - 6/a^2 - 3*a^2 + a^4 + 
   11*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   9*z^4 - z^4/a^6 + (6*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 3] -> 
  1 - 2*a^2 + 6*a^4 - 7*a^6 + 4*a^8 - a^10 + 2*z^2 - 8*a^2*z^2 + 15*a^4*z^2 - 
   12*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 9*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 + 
   z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 4] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 5] -> 
  -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 6] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 4*z^2 - 
   7*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 8*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 7] -> 
  4 + a^(-4) - 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 7*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 8] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - (3*z^2)/a^12 + (11*z^2)/a^10 - (11*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 9] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 10] -> 6 + a^(-4) - 3/a^2 - 6*a^2 + 4*a^4 - a^6 + 
   12*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   10*z^4 + z^4/a^4 - (6*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 11] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 12] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + z^2 + 
   (7*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 13] -> 3 + a^(-8) - 4/a^6 + 7/a^4 - 6/a^2 + 6*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (13*z^2)/a^4 - (14*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 14] -> 
  -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + a^(-4) - (3*z^2)/a^12 + (14*z^2)/a^10 - 
   (17*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (18*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 15] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 16] -> 
  4*a^2 - 10*a^4 + 12*a^6 - 5*a^8 + 13*a^2*z^2 - 34*a^4*z^2 + 33*a^6*z^2 - 
   8*a^8*z^2 + 13*a^2*z^4 - 43*a^4*z^4 + 31*a^6*z^4 - 5*a^8*z^4 + 6*a^2*z^6 - 
   26*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 17] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 4*z^2 - 
   4*a^2*z^2 - 7*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 7*a^2*z^4 - 
   8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 18] -> 
  1 - a^(-10) + 4/a^8 - 7/a^6 + 6/a^4 - 2/a^2 + 2*z^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (13*z^2)/a^6 + (12*z^2)/a^4 - (6*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, Alternating, 19] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 5*z^2 - 11*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - 11*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 
   5*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 20] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6, Knot[13, Alternating, 21] -> 4 + 2/a^4 - 4/a^2 - a^2 - a^4 + 
   a^6 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, Alternating, 22] -> 7 - 2/a^2 - 7*a^2 + 4*a^4 - a^6 + 14*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 11*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 23] -> 
  1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + z^2 - 4*a^2*z^2 + 9*a^4*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 + z^6 - 
   3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 24] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 25] -> 4 - 7*a^2 + 6*a^4 - 3*a^6 + a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 14*a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 10*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 26] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, Alternating, 27] -> 1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - 
   a^10 + z^2 - 4*a^2*z^2 + 9*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + z^4 - 
   6*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 28] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 
   7*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 29] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^12 + (11*z^2)/a^10 - 
   (11*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 30] -> 4 - 7*a^2 + 6*a^4 - 3*a^6 + a^8 + 9*z^2 - 
   (3*z^2)/a^2 - 15*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[13, Alternating, 31] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 12*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 11*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 32] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 33] -> 
  2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 6*z^2 - z^2/a^2 - 13*a^2*z^2 + 
   12*a^4*z^2 - 4*a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, Knot[13, Alternating, 34] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 + z^2/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 35] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 36] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 37] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - 8*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 8*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 38] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 
   10*z^2 + z^2/a^4 - (6*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   10*z^4 + z^4/a^4 - (5*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 39] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 11*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 40] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 41] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 42] -> 4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 
   9*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (11*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   9*z^4 - z^4/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 43] -> 
  3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 4*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 44] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 45] -> 1 - 2*a^2 + 5*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   2*z^2 - 7*a^2*z^2 + 13*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   9*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 46] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 
   9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 47] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - 
   (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 48] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + 12*a^2*z^2 - 
   32*a^4*z^2 + 31*a^6*z^2 - 8*a^8*z^2 + 13*a^2*z^4 - 42*a^4*z^4 + 
   31*a^6*z^4 - 5*a^8*z^4 + 6*a^2*z^6 - 26*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 49] -> 1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + 3*z^2 - 
   2*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 
   8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 50] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 11*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (12*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 51] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 6*a^2*z^2 - 
   3*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 9*a^2*z^4 - 5*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + z^6 - 5*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 52] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 + z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^2 - 5*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 53] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 5*z^2 - 
   z^2/a^2 - 12*a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 10*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 54] -> 
  5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 12*z^2 - (4*z^2)/a^2 - 13*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 11*z^4 + z^4/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 55] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + 
   (6*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 56] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 57] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 58] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 6*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 - (12*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 59] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 60] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 61] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 62] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 - z^2/a^2 + 3*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 63] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   4*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 - 
   6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 64] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^6 + z^4/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 65] -> -a^(-12) + 3/a^10 - 5/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 66] -> 5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 
   10*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   9*z^4 + z^4/a^4 - (6*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 67] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 68] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 11*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 69] -> 
  2 - 5*a^2 + 9*a^4 - 8*a^6 + 4*a^8 - a^10 + 3*z^2 - 11*a^2*z^2 + 
   17*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 10*a^2*z^4 + 12*a^4*z^4 - 
   6*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 70] -> 9 + 2/a^4 - 6/a^2 - 7*a^2 + 4*a^4 - a^6 + 
   15*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   11*z^4 + z^4/a^4 - (6*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 71] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 72] -> 
  8 - a^(-6) + 5/a^4 - 8/a^2 - 5*a^2 + 2*a^4 + 13*z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (15*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 73] -> 
  2 - 5*a^2 + 9*a^4 - 8*a^6 + 4*a^8 - a^10 + 3*z^2 - 11*a^2*z^2 + 
   17*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 10*a^2*z^4 + 12*a^4*z^4 - 
   6*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 74] -> 9 + 2/a^4 - 6/a^2 - 7*a^2 + 4*a^4 - a^6 + 
   15*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   11*z^4 + z^4/a^4 - (6*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 75] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 76] -> 5*a^4 - 9*a^6 + 9*a^8 - 5*a^10 + a^12 - 
   a^2*z^2 + 11*a^4*z^2 - 17*a^6*z^2 + 14*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + 
   9*a^4*z^4 - 13*a^6*z^4 + 6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + 
   a^4*z^8, Knot[13, Alternating, 77] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 
   8*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   z^4/a^6 + z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 78] -> 2 + 2/a^4 - 3/a^2 - a^4 + a^6 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[13, Alternating, 79] -> 
  8 - a^(-6) + 5/a^4 - 8/a^2 - 5*a^2 + 2*a^4 + 13*z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (15*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 80] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 81] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 82] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + 11*a^2*z^2 - 
   29*a^4*z^2 + 27*a^6*z^2 - 7*a^8*z^2 + 12*a^2*z^4 - 39*a^4*z^4 + 
   29*a^6*z^4 - 5*a^8*z^4 + 6*a^2*z^6 - 25*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 83] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   3*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 
   7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 84] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - 6*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 7*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 85] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (8*z^2)/a^8 + 
   (28*z^2)/a^6 - (28*z^2)/a^4 + (10*z^2)/a^2 - (11*z^4)/a^8 + (36*z^4)/a^6 - 
   (32*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 86] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   (4*z^2)/a^8 + (12*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 87] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 88] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 7*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 89] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 90] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 91] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - 2*a^4*z^4 + 
   2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[13, Alternating, 92] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 3*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 93] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 94] -> 
  -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 - 2*z^2 - z^2/a^6 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 95] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[13, Alternating, 96] -> 2 - a^(-10) + 4/a^8 - 7/a^6 + 
   7/a^4 - 4/a^2 + 3*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - z^4/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 97] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 98] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 
   7*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   8*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 99] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 100] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 101] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 102] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 103] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 104] -> 
  7 - 2/a^6 + 6/a^4 - 8/a^2 - 2*a^2 + 12*z^2 + (6*z^2)/a^4 - (13*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 105] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 106] -> 2 - a^(-10) + 4/a^8 - 7/a^6 + 7/a^4 - 4/a^2 + 
   3*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   z^4/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 107] -> 7 - 2/a^6 + 6/a^4 - 8/a^2 - 2*a^2 + 12*z^2 + 
   (6*z^2)/a^4 - (13*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 108] -> 
  4 + a^(-8) - 4/a^6 + 8/a^4 - 8/a^2 + 4*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (14*z^2)/a^2 + z^4 - (2*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 109] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 110] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 + z^4/a^4 + 
   z^4/a^2, Knot[13, Alternating, 111] -> 3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 112] -> 
  -a^2 + 10*a^6 - 11*a^8 + 3*a^10 - 3*a^2*z^2 + a^4*z^2 + 24*a^6*z^2 - 
   19*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 22*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 113] -> 
  -7 + 3/a^6 - 14/a^4 + 19/a^2 - 17*z^2 + (6*z^2)/a^6 - (32*z^2)/a^4 + 
   (48*z^2)/a^2 - 15*z^4 + (4*z^4)/a^6 - (29*z^4)/a^4 + (51*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (12*z^6)/a^4 + (28*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 114] -> 
  5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 + z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 115] -> 5 - a^(-6) + 4/a^4 - 5/a^2 - 4*a^2 + 2*a^4 + 
   11*z^2 - z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 
   10*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 116] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 15*z^2 + (5*z^2)/a^6 - (27*z^2)/a^4 + 
   (41*z^2)/a^2 - 14*z^4 + (4*z^4)/a^6 - (27*z^4)/a^4 + (47*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (12*z^6)/a^4 + (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 117] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 118] -> -3 + 12*a^2 - 12*a^4 + 4*a^6 - 7*z^2 + 
   31*a^2*z^2 - 37*a^4*z^2 + 13*a^6*z^2 - 5*z^4 + 30*a^2*z^4 - 44*a^4*z^4 + 
   13*a^6*z^4 - z^6 + 13*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 119] -> 
  2 - a^(-2) + 4*a^2 - 7*a^4 + 3*a^6 + 6*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   14*a^4*z^2 + 6*a^6*z^2 + 6*z^4 - z^4/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 120] -> 6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 11*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 121] -> 
  7 - 2/a^2 - 4*a^2 - 2*a^4 + 2*a^6 + 12*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - z^4/a^2 - 8*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 122] -> -1 - a^(-4) + 3/a^2 + a^2 - 3*a^4 + 2*a^6 - 
   3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 123] -> -a^2 + 10*a^6 - 11*a^8 + 3*a^10 - 3*a^2*z^2 + 
   a^4*z^2 + 24*a^6*z^2 - 19*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   22*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 124] -> 
  -7 + 3/a^6 - 14/a^4 + 19/a^2 - 17*z^2 + (6*z^2)/a^6 - (32*z^2)/a^4 + 
   (48*z^2)/a^2 - 15*z^4 + (4*z^4)/a^6 - (29*z^4)/a^4 + (51*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (12*z^6)/a^4 + (28*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 125] -> 
  -2/a^12 + 8/a^10 - 11/a^8 + 4/a^6 + 2/a^4 - (3*z^2)/a^12 + (16*z^2)/a^10 - 
   (22*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (20*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 126] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 5/a^6 + 3/a^4 + a^(-2) - z^2/a^12 + 
   (5*z^2)/a^10 - (9*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 127] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 5/a^4 - 4/a^2 + 
   a^2 - z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 128] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - 
   a^(-2) - a^2 + 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 129] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 130] -> 1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + a^4 + 
   3*z^2 - z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 131] -> 
  -2 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + a^4 - 2*z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 - 2*a^2*z^4 + 
   z^6 + z^6/a^2, Knot[13, Alternating, 132] -> 
  -a^(-16) + 6/a^14 - 10/a^12 + 3/a^10 + 2/a^8 + a^(-6) + (5*z^2)/a^14 - 
   (18*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^12 + 
   (11*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 133] -> -1 + 2/a^6 - 10/a^4 + 12/a^2 - 
   2*a^2 + z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (26*z^2)/a^2 - 5*a^2*z^2 + 
   5*z^4 + z^4/a^6 - (13*z^4)/a^4 + (24*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 134] -> a^(-8) - 4/a^6 + 2/a^4 + 3/a^2 - a^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[13, Alternating, 135] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 136] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 137] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 138] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (9*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 139] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 
   29*z^2 - (5*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 34*z^4 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 140] -> 
  -4 - a^(-6) + 3/a^4 + 3*a^2 - 9*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 141] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 142] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 143] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 144] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 145] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - (3*z^2)/a^12 + (13*z^2)/a^10 - 
   (16*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (18*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 146] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (15*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 147] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (18*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (20*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 148] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^12 + 
   (3*z^2)/a^10 + z^2/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 149] -> 
  1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 150] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 151] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 3*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, Alternating, 152] -> 
  1 + a^(-6) - 6/a^4 + 7/a^2 - 2*a^2 + 3*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (20*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 + z^4/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 153] -> -3/a^4 + 5/a^2 - a^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[13, Alternating, 154] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   a^(-4) + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 155] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) + 
   a^2 - 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 156] -> -1 - a^(-2) + 6*a^2 - a^4 - 3*a^6 + 
   a^8 + z^2 - (2*z^2)/a^2 + 7*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   4*z^4 - z^4/a^2 + a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 157] -> 
  3/a^10 - 10/a^8 + 7/a^6 + 3/a^4 - 2/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (19*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (20*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 158] -> 1 - a^(-10) + 2/a^8 - 2/a^2 + a^2 - z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 159] -> -1 + a^(-10) - 3/a^8 + 3/a^4 + a^(-2) - 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 160] -> 
  3/a^10 - 10/a^8 + 7/a^6 + 3/a^4 - 2/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (19*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (20*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 161] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 162] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 
   5*a^2*z^2 + 8*a^4*z^2 + 16*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 4*a^2*z^4 + 
   7*a^4*z^4 + 19*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 163] -> -1 + 2*a^2 + 3*a^6 - 4*a^8 + a^10 - 2*z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + 
   2*a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6, Knot[13, Alternating, 164] -> 4 + a^(-8) - 4/a^6 + 6/a^4 - 
   5/a^2 - a^2 + 8*z^2 + z^2/a^8 - (6*z^2)/a^6 + (12*z^2)/a^4 - 
   (12*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 165] -> 5 + a^(-4) - 4/a^2 - a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 166] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 167] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^8 + 
   (21*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 168] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 
   2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 169] -> -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 3/a^4 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (19*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - 
   z^4/a^12 + (13*z^4)/a^10 - (21*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 170] -> -a^(-12) + 4/a^10 - 4/a^8 - 
   a^(-6) + 2/a^4 + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 171] -> -2/a^12 + 8/a^10 - 9/a^8 + 4/a^4 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 - (19*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^12 + (12*z^4)/a^10 - (19*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 172] -> -a^(-12) + 3/a^10 - a^(-8) - 
   3/a^6 + a^(-4) + 2/a^2 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^2 + (3*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 173] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-4) + 
   a^(-2) + z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 174] -> -a^2 + 9*a^6 - 9*a^8 + 2*a^10 - 4*a^2*z^2 + 
   3*a^4*z^2 + 23*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   23*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 175] -> 
  -2*a^2 + 5*a^4 + a^6 - 4*a^8 + a^10 - z^2 - 2*a^2*z^2 + 10*a^4*z^2 + 
   4*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + 8*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 176] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (7*z^2)/a^10 - (31*z^2)/a^8 + (40*z^2)/a^6 - (10*z^2)/a^4 + (5*z^4)/a^10 - 
   (30*z^4)/a^8 + (45*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + 
   (26*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 177] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - 
   a^(-2) + (3*z^2)/a^10 - (12*z^2)/a^8 + (10*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 178] -> 
  3 - a^(-2) - 4*a^2 + 7*a^4 - 5*a^6 + a^8 + 7*z^2 - (2*z^2)/a^2 - 
   10*a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 6*z^4 - z^4/a^2 - 
   9*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 179] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 
   2/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + (15*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 180] -> 
  -1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 3/a^2 - 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^2 - z^4 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 181] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 10*z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (29*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 182] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 183] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 184] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 21*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 
   9*a^4*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 185] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 186] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^8 + 
   (21*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 187] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 
   2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 188] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 29*z^2 - 
   (5*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 34*z^4 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 189] -> 
  -4 - a^(-6) + 3/a^4 + 3*a^2 - 9*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 190] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 191] -> 
  -a^(-16) + 6/a^14 - 10/a^12 + 3/a^10 + 2/a^8 + a^(-6) + (5*z^2)/a^14 - 
   (18*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^12 + 
   (11*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 192] -> 1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + 
   a^4 + 3*z^2 - z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 193] -> 
  -2/a^12 + 8/a^10 - 11/a^8 + 4/a^6 + 2/a^4 - (3*z^2)/a^12 + (16*z^2)/a^10 - 
   (22*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (20*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 194] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 195] -> 
  -1 + 2/a^6 - 10/a^4 + 12/a^2 - 2*a^2 + z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (26*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 + z^4/a^6 - (13*z^4)/a^4 + (24*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 196] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 197] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 198] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 199] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 200] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 21*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 
   9*a^4*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 201] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 202] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 5/a^4 - 4/a^2 + 
   a^2 - z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 203] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 
   2*a^10 - 5*a^2*z^2 + 8*a^4*z^2 + 16*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   4*a^2*z^4 + 7*a^4*z^4 + 19*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 204] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 205] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 10*z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (29*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 206] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 207] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 4*z^2 - z^2/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 208] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 209] -> 5*a^4 - 7*a^6 + 4*a^8 - a^10 - 
   2*a^2*z^2 + 12*a^4*z^2 - 12*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   9*a^4*z^4 - 6*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 210] -> 
  2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 - a^8*z^2 + a^10*z^2 - z^4 + 
   2*a^2*z^4 - a^4*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 211] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 212] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 213] -> 1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + 
   2*z^2 - z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 214] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 215] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 - 
   (3*z^2)/a^2 - 9*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 216] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 4*a^4*z^2 + a^8*z^2 + z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 217] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^12 + 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 - (9*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 218] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 8*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 219] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 220] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 - 24*z^4 - (7*z^4)/a^4 + (22*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 221] -> -2 + 2/a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 222] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 8*a^2*z^2 + 
   3*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 223] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 3*a^4*z^2 + a^6*z^2 - z^4/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 224] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 225] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 226] -> a^(-4) - a^(-2) + a^2 - z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^4 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 227] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 12*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 11*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 228] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 7*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[13, Alternating, 229] -> 1 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 230] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 231] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^12 + 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 - (9*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 232] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 8*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 233] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 234] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 235] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 3*z^2 - z^2/a^2 - 
   12*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 236] -> -11 + 2/a^2 + 18*a^2 - 8*a^4 - 28*z^2 + 
   (5*z^2)/a^2 + 45*a^2*z^2 - 16*a^4*z^2 - 27*z^4 + (4*z^4)/a^2 + 
   48*a^2*z^4 - 14*a^4*z^4 - 12*z^6 + z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 237] -> 
  -4 + 15*a^2 - 15*a^4 + 5*a^6 - 8*z^2 + 34*a^2*z^2 - 39*a^4*z^2 + 
   13*a^6*z^2 - 5*z^4 + 31*a^2*z^4 - 44*a^4*z^4 + 13*a^6*z^4 - z^6 + 
   13*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 238] -> 6 - 2/a^2 - 2*a^2 - 3*a^4 + 
   2*a^6 + 11*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 8*z^4 - 
   z^4/a^2 - 6*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 239] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   9*a^2*z^2 - 32*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 240] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 241] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 242] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 243] -> -2 - a^(-4) + 3/a^2 + a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 244] -> 
  -1 + 4*a^2 - 2*a^4 - 11*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 9*a^4*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 245] -> 7 - a^(-6) + 3/a^4 - 5/a^2 - 4*a^2 + a^4 + 
   13*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   10*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 246] -> 
  a^(-12) - 4/a^10 + 6/a^8 - 6/a^6 + 4/a^4 - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (14*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + (6*z^4)/a^8 - (12*z^4)/a^6 + 
   (9*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, Alternating, 247] -> 3/a^10 - 12/a^8 + 12/a^6 - a^(-4) - a^(-2) + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (29*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (26*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[13, Alternating, 248] -> -a^(-16) + 6/a^14 - 10/a^12 + 
   2/a^10 + 4/a^8 + (5*z^2)/a^14 - (18*z^2)/a^12 + (8*z^2)/a^10 + 
   (12*z^2)/a^8 + z^2/a^6 - (8*z^4)/a^12 + (10*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 249] -> -2/a^12 + 9/a^10 - 13/a^8 + 5/a^6 + 2/a^4 - 
   (3*z^2)/a^12 + (18*z^2)/a^10 - (27*z^2)/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (13*z^4)/a^10 - (24*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 250] -> -3 + 2/a^6 - 10/a^4 + 13/a^2 - 
   a^2 - 4*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (28*z^2)/a^2 - 3*a^2*z^2 + 
   z^4 + z^4/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 251] -> -a^(-12) + 3/a^10 - a^(-8) - 4/a^6 + 3/a^4 + 
   a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 252] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[13, Alternating, 253] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 254] -> 
  -7 + a^(-2) + 13*a^2 - 6*a^4 - 24*z^2 + (4*z^2)/a^2 + 40*a^2*z^2 - 
   15*a^4*z^2 - 26*z^4 + (4*z^4)/a^2 + 47*a^2*z^4 - 14*a^4*z^4 - 12*z^6 + 
   z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 255] -> -3 + 8*a^2 - 4*a^4 - 2*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 256] -> -11 - 2/a^4 + 9/a^2 + 5*a^2 - 
   38*z^2 - (5*z^2)/a^4 + (26*z^2)/a^2 + 14*a^2*z^2 - 46*z^4 - (4*z^4)/a^4 + 
   (27*z^4)/a^2 + 14*a^2*z^4 - 27*z^6 - z^6/a^4 + (12*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 257] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 258] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 4*a^2 - 
   13*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 11*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 259] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 260] -> -6 + 3/a^6 - 13/a^4 + 17/a^2 - 15*z^2 + 
   (6*z^2)/a^6 - (30*z^2)/a^4 + (43*z^2)/a^2 - 14*z^4 + (4*z^4)/a^6 - 
   (28*z^4)/a^4 + (47*z^4)/a^2 - 6*z^6 + z^6/a^6 - (12*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 261] -> 6 + a^(-6) - 3/a^4 - 3*a^2 + 12*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 262] -> 
  4 - 2/a^2 - a^2 + a^4 - a^6 + 8*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   7*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 263] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 + (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 264] -> 3 - a^(-6) + 4/a^4 - 4/a^2 - 3*a^2 + 2*a^4 + 
   8*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   9*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 265] -> 
  -1 + 4*a^2 - 2*a^4 - 11*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 9*a^4*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 266] -> -7 - 2/a^4 + 8/a^2 + 2*a^4 - 14*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 11*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 267] -> 
  -2 - a^(-6) + 3/a^4 - a^2 + 2*a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 268] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 269] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 270] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 271] -> -3 + 8*a^2 - 4*a^4 - 14*z^2 + (2*z^2)/a^2 + 
   26*a^2*z^2 - 10*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 33*a^2*z^4 - 10*a^4*z^4 - 
   10*z^6 + z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 272] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 32*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 273] -> 
  -a^2 + 9*a^6 - 9*a^8 + 2*a^10 - 3*a^2*z^2 + a^4*z^2 + 23*a^6*z^2 - 
   16*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 22*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 274] -> 
  -2 - 3/a^4 + 6/a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[13, Alternating, 275] -> 2 + a^(-4) - 4/a^2 + 6*a^2 - 4*a^4 + 3*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 276] -> 
  5 - 2/a^2 + a^2 - 6*a^4 + 3*a^6 + 9*z^2 - (3*z^2)/a^2 + a^2*z^2 - 
   14*a^4*z^2 + 6*a^6*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 277] -> 1 - a^(-4) + 2/a^2 - 3*a^4 + 2*a^6 + z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 278] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 279] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - (3*z^2)/a^12 + (13*z^2)/a^10 - 
   (17*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (18*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 280] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 281] -> 
  -2 - 3/a^4 + 6/a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[13, Alternating, 282] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - z^2/a^6 + 
   (8*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 283] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 284] -> 
  2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - a^(-2) + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (22*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (23*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 285] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (8*z^4)/a^4 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 286] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^12 + (14*z^2)/a^10 - 
   (19*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (19*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 287] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (16*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 288] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 289] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 290] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 26*z^2 - 
   (5*z^2)/a^4 + (21*z^2)/a^2 + 9*a^2*z^2 - 33*z^4 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 291] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - 
   (27*z^2)/a^4 + (11*z^2)/a^2 - (4*z^4)/a^8 + (22*z^4)/a^6 - (34*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 292] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 293] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 
   4/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 294] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 295] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (3*z^2)/a^10 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 296] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[13, Alternating, 297] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 11*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - z^4/a^2 - 
   7*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 298] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + a^6*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 299] -> 
  a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 300] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (12*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 301] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 302] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 7*z^2 - 
   z^2/a^4 - 5*a^2*z^2 + 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 303] -> -1 - a^(-2) + 8*a^2 - 6*a^4 + a^6 + z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 304] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (8*z^2)/a^4 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 305] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (26*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[13, Alternating, 306] -> 3 - a^(-10) + 3/a^8 - 4/a^6 + 
   5/a^4 - 5/a^2 + 4*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 - 
   (12*z^2)/a^2 + 2*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 - (11*z^4)/a^2 + z^6 + 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 307] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 308] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, Alternating, 309] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 310] -> 4 - a^(-6) + 3/a^4 - 3/a^2 - 
   4*a^2 + 2*a^4 + 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + 
   2*a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 311] -> 
  -2/a^8 + 9/a^6 - 13/a^4 + 7/a^2 - (5*z^2)/a^8 + (23*z^2)/a^6 - 
   (32*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - (35*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 312] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 313] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 12*z^2 + 
   (5*z^2)/a^6 - (24*z^2)/a^4 + (34*z^2)/a^2 - 11*z^4 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 314] -> 2 + a^(-4) - 4/a^2 + 6*a^2 - 4*a^4 + 3*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 315] -> 
  4 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 - 2*a^2 + a^4 + 7*z^2 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[13, Alternating, 316] -> 
  1 - a^(-2) + 6*a^2 - 8*a^4 + 3*a^6 + 4*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 317] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 12*z^2 + 
   (5*z^2)/a^6 - (24*z^2)/a^4 + (34*z^2)/a^2 - 11*z^4 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 318] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) - (4*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, Alternating, 319] -> -1 - a^(-8) + 2/a^6 + a^4 - z^2 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, Alternating, 320] -> 1 + a^(-8) - 4/a^6 + 3/a^4 + a^(-2) - a^2 + 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 321] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 12*z^2 + z^2/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 322] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 323] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 
   3*a^2 - 10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + 4*a^2*z^2 - 8*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 324] -> 
  -1 + 4*a^2 - 2*a^4 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 325] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 326] -> 2 - 2/a^8 + 7/a^6 - 7/a^4 + 
   a^(-2) + 5*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (21*z^2)/a^4 - z^2/a^2 + 
   4*z^4 - z^4/a^8 + (13*z^4)/a^6 - (23*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 327] -> 1 - 2/a^8 + 6/a^6 - 4/a^4 - a^(-2) + a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[13, Alternating, 328] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - 
   a^2 + 5*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (12*z^2)/a^2 - z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 329] -> 
  -2*a^2 + 4*a^4 + 3*a^6 - 5*a^8 + a^10 - 5*a^2*z^2 + 8*a^4*z^2 + 
   15*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 330] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + (7*z^2)/a^10 - (30*z^2)/a^8 + 
   (37*z^2)/a^6 - (9*z^2)/a^4 + (5*z^4)/a^10 - (30*z^4)/a^8 + (44*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 331] -> 2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 332] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 11*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 333] -> 
  2/a^10 - 6/a^8 + 3/a^6 + 3/a^4 - a^(-2) + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (6*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (6*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 334] -> 
  a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) - z^2 + z^2/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - z^4 - (2*z^4)/a^8 + (5*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 335] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + (5*z^2)/a^6 - (21*z^2)/a^4 + 
   (26*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (33*z^4)/a^2 - 
   5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 336] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 26*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 
   9*a^2*z^2 - 33*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 337] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   (4*z^2)/a^8 + (19*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - (4*z^4)/a^8 + 
   (22*z^4)/a^6 - (34*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 338] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 + 
   3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 339] -> -2*a^2 + 4*a^4 + 3*a^6 - 5*a^8 + a^10 - z^2 - 
   2*a^2*z^2 + 8*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4 + 
   7*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6, 
 Knot[13, Alternating, 340] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 341] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 342] -> 
  6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 13*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 11*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 343] -> a^(-4) - 3/a^2 + 7*a^2 - 4*a^4 + 2*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 344] -> 
  -4 + 3/a^6 - 11/a^4 + 13/a^2 - 10*z^2 + (6*z^2)/a^6 - (25*z^2)/a^4 + 
   (31*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (34*z^4)/a^2 - 
   5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 345] -> 
  5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   4*a^2*z^2 + 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 346] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 10*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + 4*a^2*z^2 - 8*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[13, Alternating, 347] -> 
  -1 + 4*a^2 - 2*a^4 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 348] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 349] -> 1 - a^(-2) + 6*a^2 - 8*a^4 + 
   3*a^6 + 4*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 350] -> 
  5 - 2/a^2 + a^2 - 6*a^4 + 3*a^6 + 9*z^2 - (3*z^2)/a^2 + a^2*z^2 - 
   14*a^4*z^2 + 6*a^6*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 351] -> 2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 3/a^2 + 
   3*z^2 - z^2/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + (10*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (8*z^4)/a^4 - 
   (7*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 352] -> -1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   2/a^2 + a^2 - 3*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 353] -> -1 + a^(-8) - 3/a^6 - a^(-4) + 6/a^2 - a^2 + 
   z^2 + z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 354] -> 
  -2/a^16 + 11/a^14 - 19/a^12 + 9/a^10 + 2/a^8 - z^2/a^16 + (14*z^2)/a^14 - 
   (41*z^2)/a^12 + (29*z^2)/a^10 + (7*z^2)/a^8 + (4*z^4)/a^14 - 
   (28*z^4)/a^12 + (34*z^4)/a^10 + (9*z^4)/a^8 - (6*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 355] -> -a^(-16) + 5/a^14 - 7/a^12 + 3/a^8 + a^(-6) + 
   (4*z^2)/a^14 - (13*z^2)/a^12 + (4*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - 
   (6*z^4)/a^12 + (7*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 356] -> 
  3 - a^(-10) + 3/a^8 - 4/a^6 + 5/a^4 - 5/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (12*z^2)/a^4 - (12*z^2)/a^2 + 2*z^4 - (6*z^4)/a^6 + 
   (10*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 357] -> -a^(-16) + 6/a^14 - 10/a^12 + 2/a^10 + 4/a^8 + 
   (5*z^2)/a^14 - (19*z^2)/a^12 + (9*z^2)/a^10 + (13*z^2)/a^8 - 
   (9*z^4)/a^12 + (12*z^4)/a^10 + (14*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 358] -> 
  -2*a^2 + 3*a^4 + 7*a^6 - 10*a^8 + 3*a^10 - 5*a^2*z^2 + 7*a^4*z^2 + 
   19*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   20*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 359] -> 
  -8 + 4/a^6 - 17/a^4 + 22/a^2 - 18*z^2 + (8*z^2)/a^6 - (38*z^2)/a^4 + 
   (53*z^2)/a^2 - 15*z^4 + (5*z^4)/a^6 - (33*z^4)/a^4 + (53*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (13*z^6)/a^4 + (28*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 360] -> 
  4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 11*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 361] -> -6 + 3/a^6 - 13/a^4 + 17/a^2 - 13*z^2 + 
   (6*z^2)/a^6 - (28*z^2)/a^4 + (39*z^2)/a^2 - 11*z^4 + (4*z^4)/a^6 - 
   (25*z^4)/a^4 + (39*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 362] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (13*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 363] -> 
  -2/a^12 + 8/a^10 - 12/a^8 + 6/a^6 + a^(-4) - (3*z^2)/a^12 + (16*z^2)/a^10 - 
   (24*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (21*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 364] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (26*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[13, Alternating, 365] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 + 
   3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 366] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 367] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^4 - 3/a^2 + a^2 - z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 368] -> -a^(-16) + 6/a^14 - 11/a^12 + 5/a^10 + 
   a^(-8) + a^(-6) + (5*z^2)/a^14 - (19*z^2)/a^12 + (13*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^12 + (12*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 369] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (16*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 370] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 5*z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (11*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (10*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, Alternating, 371] -> 1 + a^(-8) - 3/a^6 + a^(-4) + 2/a^2 - a^2 + 
   2*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[13, Alternating, 372] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + (2*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 373] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 374] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 23*z^2 + (5*z^2)/a^2 + 33*a^2*z^2 - 
   11*a^4*z^2 - 23*z^4 + (4*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 11*z^6 + 
   z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 375] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 376] -> 
  -2/a^8 + 9/a^6 - 13/a^4 + 7/a^2 - (5*z^2)/a^8 + (23*z^2)/a^6 - 
   (32*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - (35*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 377] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 378] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) - (4*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, Alternating, 379] -> 2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + a^(-2) + 
   3*z^2 - z^2/a^10 + (6*z^2)/a^8 - (11*z^2)/a^4 + z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[13, Alternating, 380] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 
   2/a^4 - a^(-2) + a^2 + (3*z^2)/a^8 - (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[13, Alternating, 381] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 14*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 382] -> 
  -1 + 2*a^2 - a^4 + 5*a^6 - 5*a^8 + a^10 - 2*z^2 + 3*a^2*z^2 + 2*a^4*z^2 + 
   9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 383] -> 3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 
   7*z^2 + z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 384] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 385] -> a^(-6) - 3/a^4 + 3/a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 386] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 387] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + (2*z^2)/a^10 - (10*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 388] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 389] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 5*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (12*z^2)/a^2 - z^4 - z^4/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 390] -> 9 - a^(-6) + 4/a^4 - 7/a^2 - 6*a^2 + 2*a^4 + 
   15*z^2 - z^2/a^6 + (6*z^2)/a^4 - (13*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 
   11*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 391] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 392] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 393] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 23*z^2 + (5*z^2)/a^2 + 33*a^2*z^2 - 
   11*a^4*z^2 - 23*z^4 + (4*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 11*z^6 + 
   z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 394] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 395] -> 
  -6 + 3/a^6 - 13/a^4 + 17/a^2 - 13*z^2 + (6*z^2)/a^6 - (28*z^2)/a^4 + 
   (39*z^2)/a^2 - 11*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + (39*z^4)/a^2 - 
   5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 396] -> 
  a^(-4) - 3/a^2 + 7*a^2 - 4*a^4 + 2*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 397] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 398] -> 
  2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 3/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (11*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + 2*z^4 - (6*z^4)/a^6 + 
   (11*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 399] -> 1 - a^(-10) + 4/a^8 - 7/a^6 + 8/a^4 - 5/a^2 + 
   a^2 - z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (13*z^2)/a^4 - (8*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 400] -> -2/a^16 + 11/a^14 - 19/a^12 + 
   9/a^10 + 2/a^8 - z^2/a^16 + (14*z^2)/a^14 - (41*z^2)/a^12 + 
   (29*z^2)/a^10 + (7*z^2)/a^8 + (4*z^4)/a^14 - (28*z^4)/a^12 + 
   (34*z^4)/a^10 + (9*z^4)/a^8 - (6*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 401] -> 
  -1 - a^(-2) + 8*a^2 - 6*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 402] -> -a^(-16) + 5/a^14 - 7/a^12 + 3/a^8 + a^(-6) + 
   (4*z^2)/a^14 - (13*z^2)/a^12 + (4*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - 
   (6*z^4)/a^12 + (7*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 403] -> 
  5 + a^(-8) - 5/a^6 + 9/a^4 - 8/a^2 - a^2 + 8*z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (15*z^2)/a^4 - (14*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 404] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 
   2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 405] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 10*z^2 + 
   (6*z^2)/a^6 - (25*z^2)/a^4 + (31*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 406] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - 4*a^2*z^2 + 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 407] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 408] -> 5 + a^(-8) - 5/a^6 + 9/a^4 - 8/a^2 - a^2 + 
   8*z^2 + z^2/a^8 - (7*z^2)/a^6 + (15*z^2)/a^4 - (14*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 409] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + (5*z^2)/a^6 - (21*z^2)/a^4 + 
   (26*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (33*z^4)/a^2 - 
   5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 410] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 14*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 411] -> a^(-6) - 3/a^4 + 3/a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 412] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 413] -> -8 + 4/a^6 - 17/a^4 + 22/a^2 - 18*z^2 + 
   (8*z^2)/a^6 - (38*z^2)/a^4 + (53*z^2)/a^2 - 15*z^4 + (5*z^4)/a^6 - 
   (33*z^4)/a^4 + (53*z^4)/a^2 - 6*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (28*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 414] -> 4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 11*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 415] -> 
  1 - 2*a^2 + 5*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + 2*z^2 - 6*a^2*z^2 + 
   12*a^4*z^2 - 12*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 6*a^2*z^4 + 
   9*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, Alternating, 416] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   5*a^4*z^2 - 5*a^6*z^2 + 7*a^8*z^2 + a^10*z^2 - 2*a^12*z^2 + 4*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 
   2*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 417] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - a^6*z^6 - 
   a^8*z^6, Knot[13, Alternating, 418] -> -a^(-12) + a^(-10) + 2/a^8 - 
   4/a^6 + 2/a^4 + a^(-2) - z^2/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 419] -> 2 - 2*a^2 + a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 
   3*z^2 - 5*a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 
   6*a^2*z^4 + 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 420] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 - 2*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 3*a^8*z^2 - 2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[13, Alternating, 421] -> 
  -1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 + a^2 - 2*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 422] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 
   3*a^4*z^2 - 4*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - a^12*z^2 + a^2*z^4 + 
   a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[13, Alternating, 423] -> 1 + a^2 - 3*a^4 + a^6 + 3*a^8 - 
   2*a^10 + 3*z^2 - 2*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 424] -> 
  2 - 2*a^2 + a^6 + a^8 - a^10 + z^2 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   3*a^8*z^2 - 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 425] -> -3/a^12 + 7/a^10 - 5/a^8 - a^(-6) + 3/a^4 - 
   (4*z^2)/a^12 + (18*z^2)/a^10 - (16*z^2)/a^8 + (7*z^2)/a^4 - z^4/a^12 + 
   (14*z^4)/a^10 - (20*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 426] -> -2/a^12 + 4/a^10 - 2/a^8 - a^(-6) + a^(-4) + 
   a^(-2) - z^2/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 427] -> -a^(-12) + a^(-10) + a^(-8) - a^(-6) - 
   a^(-4) + 2/a^2 - z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 428] -> 1 - a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 
   a^(-4) + z^2 + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 429] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 430] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 4*z^2 - z^2/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 431] -> 5 + a^(-4) - 3/a^2 - 5*a^2 + 5*a^4 - 2*a^6 + 
   11*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 12*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 
   9*z^4 + z^4/a^4 - (6*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 432] -> 
  2 + a^(-4) - 2/a^2 - a^4 + 2*a^6 - a^8 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + z^4 - (2*z^4)/a^2 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, Alternating, 433] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 434] -> 
  2 - 2*a^2 + a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 3*z^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 435] -> 5 + a^(-4) - 3/a^2 - 5*a^2 + 5*a^4 - 2*a^6 + 
   10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 
   8*z^4 - (3*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 436] -> 
  5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 437] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - a^4 - 
   2*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 438] -> 5*a^4 - 7*a^6 + 4*a^8 - a^10 - 2*a^2*z^2 + 
   12*a^4*z^2 - 12*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 
   6*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 439] -> 
  a^(-2) - a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 440] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + 5*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 
   2*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 441] -> 1 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 442] -> 1 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 443] -> 4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 9*a^4*z^2 - 
   7*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 444] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^10*z^2 - 
   z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 445] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   4*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 446] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - 7*z^4 + 21*a^2*z^4 - 24*a^4*z^4 + 
   5*a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 447] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 448] -> 2 - a^2 - a^6 + a^8 + a^2*z^2 - 2*a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 4*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 
   4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 449] -> a^(-2) - a^6 + a^8 - z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 450] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (13*z^2)/a^2 - a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 451] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (22*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^12 + (13*z^4)/a^10 - (22*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 452] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (24*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (24*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[13, Alternating, 453] -> -2/a^6 + 3/a^4 - z^2/a^12 + 
   (3*z^2)/a^10 - (5*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 454] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 3*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (23*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (24*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 455] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (23*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 456] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 457] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 7*z^2 + 
   28*a^2*z^2 - 29*a^4*z^2 + 10*a^6*z^2 - 5*z^4 + 29*a^2*z^4 - 39*a^4*z^4 + 
   12*a^6*z^4 - z^6 + 13*a^2*z^6 - 25*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 458] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 33*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 
   12*a^2*z^2 - 42*z^4 - (4*z^4)/a^4 + (26*z^4)/a^2 + 13*a^2*z^4 - 26*z^6 - 
   z^6/a^4 + (12*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 459] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 460] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - (4*z^2)/a^8 + (22*z^2)/a^6 - 
   (34*z^2)/a^4 + (14*z^2)/a^2 - (4*z^4)/a^8 + (25*z^4)/a^6 - (43*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + 
   (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 461] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 4*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 462] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 22*z^2 + 
   (4*z^2)/a^2 + 35*a^2*z^2 - 13*a^4*z^2 - 25*z^4 + (4*z^4)/a^2 + 
   43*a^2*z^4 - 13*a^4*z^4 - 12*z^6 + z^6/a^2 + 26*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 463] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 - (2*z^2)/a^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   6*z^4 - z^4/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 464] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 12*z^2 + (5*z^2)/a^6 - (24*z^2)/a^4 + 
   (33*z^2)/a^2 - 13*z^4 + (4*z^4)/a^6 - (26*z^4)/a^4 + (42*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (12*z^6)/a^4 + (26*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 465] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 466] -> 4 - 2/a^2 - a^4 + 8*z^2 - (3*z^2)/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 467] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (14*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 468] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 469] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 11*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 470] -> 
  -2 + 6*a^2 - 3*a^4 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 
   3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 471] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 21*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 472] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 12*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 473] -> a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 - 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (9*z^4)/a^4 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 474] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[13, Alternating, 475] -> 3 + a^(-4) - 4/a^2 + 4*a^2 - 
   3*a^4 + 6*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 
   7*z^4 + z^4/a^4 - (7*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 476] -> -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 477] -> 
  4 - 2/a^2 - a^4 + 6*z^2 - z^2/a^4 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 478] -> 4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 6*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (11*z^2)/a^2 + 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (7*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 479] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   10*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   9*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 480] -> 
  3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (30*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (26*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 481] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (30*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (26*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[13, Alternating, 482] -> -10 + 2/a^2 + 16*a^2 - 7*a^4 - 
   27*z^2 + (5*z^2)/a^2 + 42*a^2*z^2 - 15*a^4*z^2 - 27*z^4 + (4*z^4)/a^2 + 
   47*a^2*z^4 - 14*a^4*z^4 - 12*z^6 + z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 483] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 21*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   8*a^2*z^2 - 31*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 484] -> -2/a^8 + 10/a^6 - 15/a^4 + 8/a^2 - 
   (5*z^2)/a^8 + (27*z^2)/a^6 - (41*z^2)/a^4 + (16*z^2)/a^2 - (4*z^4)/a^8 + 
   (27*z^4)/a^6 - (47*z^4)/a^4 + (14*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - 
   (27*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 485] -> -10 + 2/a^2 + 16*a^2 - 7*a^4 - 
   27*z^2 + (5*z^2)/a^2 + 42*a^2*z^2 - 15*a^4*z^2 - 27*z^4 + (4*z^4)/a^2 + 
   47*a^2*z^4 - 14*a^4*z^4 - 12*z^6 + z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 486] -> 
  -1 - a^(-8) + 4/a^6 - 3/a^4 + 2*a^2 - 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 487] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 488] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 489] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 490] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 15*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 12*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 491] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2/a^4 + (3*z^2)/a^2 - a^4*z^2 + 
   a^6*z^2 + (2*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[13, Alternating, 492] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 
   3/a^4 - (4*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 - 
   z^2/a^2 + (6*z^4)/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, Alternating, 493] -> -3 - a^(-6) + 2/a^4 + 2/a^2 - a^2 + 2*a^4 - 
   7*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 + (2*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 494] -> 1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - a^(-2) + 
   2*z^2 - z^2/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + (9*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (8*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 495] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 4*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 496] -> 
  5 - 2/a^2 - 4*a^4 + 2*a^6 + 9*z^2 - (3*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 + 7*z^4 - z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 497] -> -7 - 3/a^4 + 9/a^2 + a^2 + a^4 - 23*z^2 - 
   (4*z^2)/a^4 + (21*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 25*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - a^2*z^8, Knot[13, Alternating, 498] -> 
  -5 - a^(-6) + a^(-4) + 4/a^2 + a^2 + a^4 - 11*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[13, Alternating, 499] -> 6 - 2/a^2 - 4*a^2 + a^4 + 11*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 8*z^4 - z^4/a^2 - 
   7*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 500] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (10*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 - z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 501] -> 3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + 
   (7*z^2)/a^10 - (28*z^2)/a^8 + (32*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^10 - 
   (29*z^4)/a^8 + (40*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + 
   (25*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 502] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 503] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 504] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 12*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 505] -> 
  3 - 2/a^2 + 4*a^2 - 6*a^4 + 2*a^6 + 8*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 506] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 + (2*z^4)/a^2 - 
   5*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 507] -> -a^(-16) + 6/a^14 - 11/a^12 + 4/a^10 + 3/a^8 + 
   (5*z^2)/a^14 - (20*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^12 + (14*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 508] -> 
  2 - a^(-6) + 3/a^4 - 2/a^2 - 3*a^2 + 2*a^4 + 5*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 509] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 6*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 510] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[13, Alternating, 511] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 512] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 513] -> -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 514] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 515] -> -a^(-4) + 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 - 
   z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 516] -> -1 - 2/a^4 + 4/a^2 - z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[13, Alternating, 517] -> 
  -a^(-16) + 6/a^14 - 11/a^12 + 4/a^10 + 3/a^8 + (5*z^2)/a^14 - 
   (20*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^12 + 
   (14*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 518] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 519] -> -5 + 3/a^6 - 12/a^4 + 15/a^2 - 12*z^2 + 
   (6*z^2)/a^6 - (27*z^2)/a^4 + (36*z^2)/a^2 - 11*z^4 + (4*z^4)/a^6 - 
   (25*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 520] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 521] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + a^6*z^2 + (2*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 522] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^8 + (4*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 523] -> 
  2 - 2/a^6 + 6/a^4 - 5/a^2 - a^2 + a^4 + 6*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (13*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8, Knot[13, Alternating, 524] -> a^(-12) - 5/a^10 + 9/a^8 - 9/a^6 + 
   5/a^4 - (4*z^2)/a^10 + (14*z^2)/a^8 - (17*z^2)/a^6 + (11*z^2)/a^4 - 
   z^2/a^2 + (6*z^4)/a^8 - (13*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, Alternating, 525] -> -2/a^16 + 11/a^14 - 20/a^12 + 11/a^10 + 
   a^(-8) - z^2/a^16 + (14*z^2)/a^14 - (43*z^2)/a^12 + (34*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^4)/a^14 - (29*z^4)/a^12 + (38*z^4)/a^10 + (8*z^4)/a^8 - 
   (6*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 526] -> -a^(-16) + 5/a^14 - 7/a^12 - a^(-10) + 5/a^8 + 
   (4*z^2)/a^14 - (13*z^2)/a^12 + (2*z^2)/a^10 + (14*z^2)/a^8 + z^2/a^6 - 
   (6*z^4)/a^12 + (6*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 527] -> 
  7 - 2/a^2 - 8*a^2 + 6*a^4 - 2*a^6 + 12*z^2 - (3*z^2)/a^2 - 13*a^2*z^2 + 
   6*a^4*z^2 + 8*z^4 - z^4/a^2 - 9*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 528] -> -7 + 4/a^6 - 16/a^4 + 20/a^2 - 16*z^2 + 
   (8*z^2)/a^6 - (36*z^2)/a^4 + (48*z^2)/a^2 - 14*z^4 + (5*z^4)/a^6 - 
   (32*z^4)/a^4 + (49*z^4)/a^2 - 6*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 529] -> 2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 530] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 531] -> 
  -12 - 4/a^4 + 13/a^2 + 3*a^2 + a^4 - 29*z^2 - (4*z^2)/a^4 + (24*z^2)/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 27*z^4 - z^4/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 
   4*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[13, Alternating, 532] -> -3 - 2/a^6 + 5/a^4 - a^(-2) + a^2 + a^4 - 
   9*z^2 - z^2/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[13, Alternating, 533] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (12*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (10*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, Alternating, 534] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 535] -> -14 + 3/a^2 + 21*a^2 - 9*a^4 - 34*z^2 + 
   (7*z^2)/a^2 + 50*a^2*z^2 - 17*a^4*z^2 - 31*z^4 + (5*z^4)/a^2 + 
   50*a^2*z^4 - 14*a^4*z^4 - 13*z^6 + z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 536] -> 
  -1 + a^(-4) - 3/a^2 + 9*a^2 - 5*a^4 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   17*a^2*z^2 - 7*a^4*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 537] -> -1 - a^(-2) + 9*a^2 - 8*a^4 + 2*a^6 + z^2 - 
   (2*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 538] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 539] -> 2 - a^(-6) + 3/a^4 - 2/a^2 - 3*a^2 + 2*a^4 + 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   6*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 540] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 541] -> 7 - 2/a^6 + 7/a^4 - 9/a^2 - 3*a^2 + a^4 + 
   12*z^2 - z^2/a^6 + (9*z^2)/a^4 - (16*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   9*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 542] -> 
  -2/a^16 + 11/a^14 - 20/a^12 + 11/a^10 + a^(-8) - z^2/a^16 + (14*z^2)/a^14 - 
   (43*z^2)/a^12 + (34*z^2)/a^10 + (5*z^2)/a^8 + (4*z^4)/a^14 - 
   (29*z^4)/a^12 + (38*z^4)/a^10 + (8*z^4)/a^8 - (6*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 543] -> -a^(-16) + 5/a^14 - 7/a^12 - a^(-10) + 5/a^8 + 
   (4*z^2)/a^14 - (13*z^2)/a^12 + (2*z^2)/a^10 + (14*z^2)/a^8 + z^2/a^6 - 
   (6*z^4)/a^12 + (6*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 544] -> 
  -14 + 3/a^2 + 21*a^2 - 9*a^4 - 34*z^2 + (7*z^2)/a^2 + 50*a^2*z^2 - 
   17*a^4*z^2 - 31*z^4 + (5*z^4)/a^2 + 50*a^2*z^4 - 14*a^4*z^4 - 13*z^6 + 
   z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 545] -> -1 + a^(-4) - 3/a^2 + 9*a^2 - 5*a^4 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 + 3*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 546] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 547] -> -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^2 + a^4 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, Alternating, 548] -> -a^(-14) + 6/a^12 - 12/a^10 + 8/a^8 - a^(-6) + 
   a^(-4) + (4*z^2)/a^12 - (17*z^2)/a^10 + (19*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^4)/a^10 + (15*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, Alternating, 549] -> 12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 19*z^2 + 
   (3*z^2)/a^4 - (15*z^2)/a^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^4 - (9*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 550] -> -5 + 3/a^6 - 12/a^4 + 15/a^2 - 
   12*z^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + (36*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 551] -> 2 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 - a^2 + 
   a^4 + 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, Alternating, 552] -> -3 - a^(-8) + 2/a^6 + a^(-2) + a^2 + a^4 - 
   5*z^2 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4, Knot[13, Alternating, 553] -> 
  a^(-6) - 4/a^4 + 4/a^2 + a^2 - a^4 + z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 554] -> 3 - 2/a^2 + 4*a^2 - 6*a^4 + 2*a^6 + 8*z^2 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 555] -> 
  7 - 2/a^6 + 7/a^4 - 9/a^2 - 3*a^2 + a^4 + 12*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (16*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8, Knot[13, Alternating, 556] -> 12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 
   19*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^4 - 
   (9*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 557] -> 
  -7 + 4/a^6 - 16/a^4 + 20/a^2 - 16*z^2 + (8*z^2)/a^6 - (36*z^2)/a^4 + 
   (48*z^2)/a^2 - 14*z^4 + (5*z^4)/a^6 - (32*z^4)/a^4 + (49*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (13*z^6)/a^4 + (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 558] -> 
  2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 6*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 559] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 5*z^2 - 
   z^2/a^2 - 11*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 10*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 560] -> 
  2*a^4 - 2*a^6 + 2*a^8 - a^12 + 5*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 
   5*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 7*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 561] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 10*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - 
   (3*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 562] -> 
  5 + 2/a^4 - 4/a^2 - 5*a^2 + 4*a^4 - a^6 + 11*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   12*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 563] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, Alternating, 564] -> 
  -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + a^(-4) + a^(-2) - z^2/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 565] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 566] -> 1 - 2*a^2 + 5*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   2*z^2 - 6*a^2*z^2 + 11*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + z^4 - 
   6*a^2*z^4 + 9*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 567] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 4*a^4*z^2 + 7*a^10*z^2 - 3*a^12*z^2 + 
   4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 568] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   3*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 569] -> 1 - 2*a^2 + 4*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   2*z^2 - 5*a^2*z^2 + 10*a^4*z^2 - 10*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 
   6*a^2*z^4 + 8*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 570] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 571] -> a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + 
   2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 
   2*a^6*z^6 - a^8*z^6, Knot[13, Alternating, 572] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 11*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 573] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 + 
   2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 574] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 3*z^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 575] -> -3/a^12 + 7/a^10 - 6/a^8 + a^(-6) + 2/a^4 - 
   (4*z^2)/a^12 + (19*z^2)/a^10 - (18*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^12 + (14*z^4)/a^10 - (21*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 576] -> -2/a^12 + 4/a^10 - 2/a^8 - 2/a^6 + 
   3/a^4 - z^2/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 577] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 + 
   z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, Alternating, 578] -> -2/a^12 + 4/a^10 - 3/a^8 + a^(-6) + a^(-2) - 
   z^2/a^12 + (8*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 579] -> 
  -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + z^2 + 
   (3*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^2 - (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 580] -> 
  5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 10*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 9*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 581] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 
   8*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   6*z^4 - z^4/a^2 - 10*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 582] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + z^2 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - 3*a^2*z^4 + a^4*z^4 - 
   5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[13, Alternating, 583] -> 
  4 + a^(-4) - 2/a^2 - 6*a^2 + 6*a^4 - 2*a^6 + 9*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 14*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 584] -> -a^(-12) + a^(-10) + 2/a^8 - 
   5/a^6 + 4/a^4 - z^2/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (7*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - z^4/a^8 - (10*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 585] -> 5 + 2/a^4 - 4/a^2 - 3*a^2 + a^6 + 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, Alternating, 586] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - 
   2*a^6*z^2 + 6*a^8*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 587] -> 2 - 2/a^10 + 5/a^8 - 5/a^6 + 4/a^4 - 3/a^2 + 
   3*z^2 - z^2/a^10 + (9*z^2)/a^8 - (12*z^2)/a^6 + (9*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 588] -> -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-2) + a^2 - 
   2*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[13, Alternating, 589] -> 
  -a^(-12) + a^(-10) + 2/a^8 - 5/a^6 + 4/a^4 - z^2/a^12 + (4*z^2)/a^10 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - 
   z^4/a^8 - (10*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 590] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 591] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 
   2*z^2 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 2*z^4 - 
   a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, Alternating, 592] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 2/a^2 + a^2 - 2*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 593] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 + 
   2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 594] -> 
  2 - 4*a^2 + 5*a^4 - 3*a^6 + 2*a^8 - a^10 + 3*z^2 - 8*a^2*z^2 + 10*a^4*z^2 - 
   8*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + z^4 - 7*a^2*z^4 + 8*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 595] -> 4 + a^(-4) - 2/a^2 - 6*a^2 + 6*a^4 - 2*a^6 + 
   9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 14*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 
   8*z^4 - (3*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 596] -> 
  2 - 5*a^2 + 8*a^4 - 7*a^6 + 5*a^8 - 2*a^10 + 3*z^2 - 9*a^2*z^2 + 
   14*a^4*z^2 - 12*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 7*a^2*z^4 + 
   9*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, Alternating, 597] -> 1 - a^(-10) + 4/a^8 - 7/a^6 + 
   8/a^4 - 5/a^2 + a^2 - z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (13*z^2)/a^4 - 
   (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 598] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + a^6 + a^8 - a^10 - 3*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 2*z^4 + a^2*z^4 - a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, Alternating, 599] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 600] -> -1 + a^(-2) + 2*a^4 - 2*a^6 + 2*a^8 - a^10 - 
   2*z^2 + z^2/a^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 2*z^4 - 3*a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[13, Alternating, 601] -> 
  2 - 5*a^2 + 8*a^4 - 7*a^6 + 5*a^8 - 2*a^10 + 3*z^2 - 9*a^2*z^2 + 
   14*a^4*z^2 - 12*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 7*a^2*z^4 + 
   9*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, Alternating, 602] -> a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 603] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   7*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 604] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - 
   a^6 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 605] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 606] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 607] -> a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 608] -> 
  5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 609] -> -1 + a^(-2) + 2*a^4 - a^6 + z^2 - 5*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 610] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 611] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 5*a^4*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 + z^4 - 5*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 + z^6 - 
   3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 612] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 4*z^2 - 6*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 613] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 614] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + z^2/a^4 - 
   z^2/a^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 615] -> 
  1 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 616] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 3*a^4*z^2 + 7*a^6*z^2 - 14*a^8*z^2 + 
   6*a^10*z^2 - 5*a^4*z^4 + 18*a^6*z^4 - 22*a^8*z^4 + 5*a^10*z^4 - 
   5*a^4*z^6 + 17*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[13, Alternating, 617] -> 
  a^2 + a^4 - 2*a^8 + a^10 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 
   3*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 618] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^2*z^2 + 
   a^4*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 619] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - a^4*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4 + a^4*z^4 - a^6*z^4 - 
   2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 620] -> 
  1 + a^6 - 2*a^8 + a^10 + a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - z^4 + a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[13, Alternating, 621] -> 
  -2/a^12 + 8/a^10 - 9/a^8 + 4/a^4 - (3*z^2)/a^12 + (16*z^2)/a^10 - 
   (19*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (19*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 622] -> -2/a^12 + 9/a^10 - 14/a^8 + 7/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (17*z^2)/a^10 - (27*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (12*z^4)/a^10 - (22*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 623] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 624] -> -4 + 11*a^2 - 7*a^4 + a^6 - 10*z^2 + 
   32*a^2*z^2 - 25*a^4*z^2 + 7*a^6*z^2 - 6*z^4 + 33*a^2*z^4 - 35*a^4*z^4 + 
   11*a^6*z^4 - z^6 + 14*a^2*z^6 - 24*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 625] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 + 5*z^2 - (3*z^2)/a^2 + 8*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 626] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 8*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 627] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 6*z^2 - z^2/a^4 - a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 628] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 + (2*z^4)/a^2 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[13, Alternating, 629] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 630] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + z^2 - z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 631] -> -6 + 19*a^2 - 17*a^4 + 5*a^6 - 11*z^2 + 
   42*a^2*z^2 - 42*a^4*z^2 + 13*a^6*z^2 - 6*z^4 + 36*a^2*z^4 - 45*a^4*z^4 + 
   13*a^6*z^4 - z^6 + 14*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 632] -> 
  3 - 2/a^2 + 5*a^2 - 8*a^4 + 3*a^6 + 8*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   15*a^4*z^2 + 6*a^6*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 633] -> 8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 15*z^2 - 
   (4*z^2)/a^2 - 9*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 10*z^4 - z^4/a^2 - 
   9*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 5*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 634] -> 
  3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 3*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 635] -> 
  -1 - a^(-2) + 10*a^2 - 10*a^4 + 3*a^6 + z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 636] -> -6 + 19*a^2 - 17*a^4 + 5*a^6 - 11*z^2 + 
   42*a^2*z^2 - 42*a^4*z^2 + 13*a^6*z^2 - 6*z^4 + 36*a^2*z^4 - 45*a^4*z^4 + 
   13*a^6*z^4 - z^6 + 14*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 637] -> 
  3 - 2/a^2 + 5*a^2 - 8*a^4 + 3*a^6 + 8*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   15*a^4*z^2 + 6*a^6*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 638] -> 12 - 4/a^2 - 9*a^2 + a^4 + a^6 + 18*z^2 - 
   (4*z^2)/a^2 - 16*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 10*z^4 - z^4/a^2 - 
   12*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 5*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 639] -> 
  -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 4*z^2 - z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[13, Alternating, 640] -> 
  -a^(-6) + 2/a^4 - a^4 + a^6 - z^2 + (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^2 - a^2*z^4 - a^4*z^4, 
 Knot[13, Alternating, 641] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 10*z^2 + 
   z^2/a^4 - (8*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - 
   (3*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 642] -> 
  3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 6*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 643] -> -3/a^12 + 7/a^10 - 7/a^8 + 3/a^6 + 
   a^(-4) - (4*z^2)/a^12 + (20*z^2)/a^10 - (21*z^2)/a^8 + (6*z^2)/a^6 + 
   (6*z^2)/a^4 - z^4/a^12 + (15*z^4)/a^10 - (24*z^4)/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^10 - (12*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 644] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (4*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 645] -> -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 3/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 + z^2/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 646] -> 
  4*a^6 - 7*a^8 + 8*a^10 - 4*a^12 + 14*a^6*z^2 - 22*a^8*z^2 + 28*a^10*z^2 - 
   10*a^12*z^2 + 16*a^6*z^4 - 31*a^8*z^4 + 32*a^10*z^4 - 6*a^12*z^4 + 
   7*a^6*z^6 - 23*a^8*z^6 + 14*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 
   2*a^10*z^8 - a^8*z^10, Knot[13, Alternating, 647] -> 
  a^4 + a^6 - 3*a^8 + 5*a^10 - 3*a^12 + 4*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 
   11*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 
   9*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 648] -> 
  2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + 5*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 
   7*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 5*a^6*z^4 - a^8*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - 
   a^8*z^8, Knot[13, Alternating, 649] -> 4 - a^(-6) + 4/a^4 - 5/a^2 - 
   2*a^2 + a^4 + 9*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 650] -> 
  2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 3*a^6*z^4 + 2*a^10*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[13, Alternating, 651] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (3*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 652] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + 
   z^2 + (3*z^2)/a^10 - z^2/a^8 - z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 653] -> 
  a^2 - a^4 + 2*a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 2*a^2*z^2 - a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   2*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 654] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 
   z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 655] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 2*z^2 - 
   (3*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + (3*z^4)/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, Alternating, 656] -> 
  -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 3/a^4 + z^2 + (3*z^2)/a^10 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 657] -> 
  8 + 2/a^4 - 5/a^2 - 8*a^2 + 5*a^4 - a^6 + 13*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   15*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 658] -> 1 - 2/a^10 + 5/a^8 - 5/a^6 + 3/a^4 - a^(-2) + 
   3*z^2 - z^2/a^10 + (9*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 659] -> 1 - a^(-10) + 2/a^8 - a^(-6) + (3*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[13, Alternating, 660] -> 
  3*a^4 - 5*a^6 + 5*a^8 - a^10 - a^12 + 7*a^4*z^2 - 10*a^6*z^2 + 9*a^8*z^2 + 
   4*a^10*z^2 - 3*a^12*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + a^4*z^6 - 5*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - 
   a^8*z^8, Knot[13, Alternating, 661] -> a^2 - a^6 + 2*a^8 - a^12 + 
   2*a^2*z^2 - a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   a^8*z^6, Knot[13, Alternating, 662] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 
   4/a^4 - 3/a^2 + z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 663] -> 
  3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 5*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - 
   (11*z^2)/a^2 - a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - (3*z^6)/a^2, Knot[13, Alternating, 664] -> 
  7 - 2/a^6 + 7/a^4 - 9/a^2 - 3*a^2 + a^4 + 12*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (16*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8, Knot[13, Alternating, 665] -> 4*a^4 - 8*a^6 + 9*a^8 - 4*a^10 + 
   8*a^4*z^2 - 14*a^6*z^2 + 14*a^8*z^2 - 2*a^12*z^2 + 5*a^4*z^4 - 
   11*a^6*z^4 + 5*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^4*z^6 - 5*a^6*z^6 - 
   2*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 666] -> 2*a^2 - 3*a^4 + 3*a^6 - a^8 + a^10 - a^12 + 
   3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 3*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   3*a^4*z^4 - a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 667] -> 1 - a^2 + a^4 + a^10 - a^12 + z^2 - a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 2*a^10*z^2 - a^2*z^4 - a^4*z^4 - a^6*z^4 - a^8*z^4, 
 Knot[13, Alternating, 668] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 - 
   z^4/a^8 - z^4/a^6 - (6*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 669] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 2*z^2 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[13, Alternating, 670] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 13*a^4*z^2 + 20*a^6*z^2 - 
   7*a^8*z^2 + 7*a^2*z^4 - 22*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 
   18*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 671] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 
   2*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 672] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 3*z^2 - 9*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 673] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - a^4*z^4 + 
   2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[13, Alternating, 674] -> 
  -1 + 4*a^2 - 2*a^4 - 11*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 
   21*z^4 + (7*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 18*z^6 + (5*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 675] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 676] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 677] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 678] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 6*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 + (6*z^4)/a^6 - (17*z^4)/a^4 + 
   (22*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 679] -> 
  -1 - a^(-6) + 3/a^2 + z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 680] -> -1 - 2/a^4 + 4/a^2 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 681] -> 
  -1 - 2/a^4 + 4/a^2 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 682] -> 
  -a^(-4) + 2/a^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 683] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 12*z^2 + 
   z^2/a^4 - (9*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 12*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 684] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 685] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 686] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 - 
   z^2 + z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 687] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 9*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (13*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 688] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 689] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 690] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 - 
   z^4/a^8 - z^4/a^6 - (6*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 691] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 692] -> 7 - 3/a^2 - 3*a^2 + 11*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 693] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 694] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 695] -> 4 - 2/a^2 - a^4 - 3*z^2 + 11*a^2*z^2 - 
   5*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 8*a^4*z^4 - 10*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 696] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 697] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 - 2*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 4*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 
   13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 698] -> -1 + a^(-2) + 2*a^4 - a^6 - a^2*z^2 + 
   a^6*z^2 + 3*z^4 - (2*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 699] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 700] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 701] -> -10 + 3/a^2 + 13*a^2 - 5*a^4 - 34*z^2 + 
   (11*z^2)/a^2 + 34*a^2*z^2 - 9*a^4*z^2 - 42*z^4 + (13*z^4)/a^2 + 
   32*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 702] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 703] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 704] -> 
  3 - a^(-2) - a^2 - z^2 + z^2/a^2 + a^2*z^2 - 11*z^4 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 705] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 706] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 29*z^2 + (9*z^2)/a^2 + 29*a^2*z^2 - 
   8*a^4*z^2 - 38*z^4 + (12*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + 
   (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 707] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 708] -> 
  -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - (7*z^2)/a^8 + (26*z^2)/a^6 - 
   (31*z^2)/a^4 + (11*z^2)/a^2 - (11*z^4)/a^8 + (35*z^4)/a^6 - (33*z^4)/a^4 + 
   (6*z^4)/a^2 - (6*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 709] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 710] -> 4 + 3/a^4 - 6/a^2 + 4*z^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 711] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[13, Alternating, 712] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 7*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   3*z^4 - 8*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 713] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - 3*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 
   2*z^4 - 5*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 714] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 14*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   4*a^2*z^2 - 20*z^4 - (8*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 715] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 716] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 717] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - 
   2*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   8*a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 718] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[13, Alternating, 719] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 720] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 721] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 
   15*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 25*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 722] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 723] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 724] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + 
   (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 725] -> 3 - 5*a^2 + 4*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 726] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 7*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 727] -> 2 - 2*a^2 + a^4 - z^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - 7*z^4 + 19*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   5*z^6 + 18*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 728] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 2*z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 729] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 + (7*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (5*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 730] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 731] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 732] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 733] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 
   3*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 734] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 735] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4 + (2*z^4)/a^8 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[13, Alternating, 736] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 737] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 738] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 739] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 740] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 741] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 14*z^2 + 
   (6*z^2)/a^6 - (28*z^2)/a^4 + (40*z^2)/a^2 - 14*z^4 + (4*z^4)/a^6 - 
   (28*z^4)/a^4 + (46*z^4)/a^2 - 6*z^6 + z^6/a^6 - (12*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 742] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 743] -> 
  -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - 2*a^2*z^2 + 20*a^6*z^2 - 16*a^8*z^2 + 
   3*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 20*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 744] -> a^4 + 3*a^6 - 4*a^8 + a^10 - z^2 + a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 745] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 6*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 746] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 747] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - 28*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 748] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 749] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 750] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 751] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 752] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - z^2/a^2 - 
   8*a^2*z^2 + 5*a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 753] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 33*z^2 + 
   (11*z^2)/a^2 + 31*a^2*z^2 - 8*a^4*z^2 - 42*z^4 + (13*z^4)/a^2 + 
   31*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 754] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 755] -> -7 + 3/a^2 + 6*a^2 - a^6 - 15*z^2 + 
   (6*z^2)/a^2 + 6*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 12*z^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[13, Alternating, 756] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 757] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 11*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   11*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 11*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 758] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 9*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 759] -> 
  3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 
   9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 6*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 760] -> 3 - 5*a^2 + 4*a^4 - a^6 + 6*z^2 - z^2/a^2 - 
   13*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 
   11*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 761] -> 1 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 762] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 763] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (8*z^4)/a^4 + (24*z^4)/a^2 + 
   4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 764] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 765] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 766] -> 
  -8 + 3/a^2 + 9*a^2 - 3*a^4 - 27*z^2 + (9*z^2)/a^2 + 24*a^2*z^2 - 
   6*a^4*z^2 - 33*z^4 + (10*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 767] -> -3 + a^(-4) + 4*a^2 - a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 768] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - 
   (7*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + 
   (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 769] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 770] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 771] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + 2*z^2 - 6*a^2*z^2 + 13*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 9*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 + 
   z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 772] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 11*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   9*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 10*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 773] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 774] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 775] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 776] -> a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 777] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^4 - 
   8*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 778] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 779] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 780] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 781] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 782] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 783] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 784] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 2*z^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 785] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 786] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 5*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 787] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 9*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 788] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 789] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 790] -> 3*a^4 - 2*a^6 - a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 791] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 792] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 5*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 793] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - z^4 - a^2*z^4 + 6*a^4*z^4 - 
   4*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 794] -> 2 - 3*a^2 + 3*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 795] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 796] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (4*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 797] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 27*z^2 + 
   (9*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 33*z^4 + (10*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 798] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 8*a^2*z^2 - 20*a^4*z^2 + 20*a^6*z^2 - 
   5*a^8*z^2 + 9*a^2*z^4 - 29*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 
   20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 799] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   4*z^2 - 10*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 800] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 5*a^2*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   3*z^4 - 7*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 801] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 802] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 803] -> -2/a^12 + 7/a^10 - 9/a^8 + 3/a^6 + 2/a^4 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (19*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (12*z^4)/a^10 - (19*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 804] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - 
   z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 805] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 5*a^2*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   3*z^4 - 7*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 806] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 24*z^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 807] -> 4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 808] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 809] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - 
   (5*z^2)/a^12 + z^2/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - 
   z^4/a^12 + (6*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 810] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 811] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 812] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (6*z^4)/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, Alternating, 813] -> -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 + z^2/a^2 + 
   5*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 + 7*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 814] -> 1 - a^(-2) + 2*a^2 - a^6 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 815] -> 
  3 + 2/a^6 - 6/a^4 + 4/a^2 - 2*a^2 + 8*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 816] -> 
  -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + a^(-4) + a^(-2) - z^2/a^12 + 
   (3*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^10 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[13, Alternating, 817] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 
   12*z^2 + (5*z^2)/a^6 - (24*z^2)/a^4 + (34*z^2)/a^2 - 13*z^4 + 
   (4*z^4)/a^6 - (26*z^4)/a^4 + (42*z^4)/a^2 - 6*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (26*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 818] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 819] -> 
  -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - a^2*z^2 - 4*a^4*z^2 + 26*a^6*z^2 - 
   18*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 24*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 820] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   3*a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 - a^2*z^4 + 
   7*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 821] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 822] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 
   2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 823] -> -3 + 11*a^2 - 10*a^4 + 3*a^6 - 7*z^2 + 
   28*a^2*z^2 - 30*a^4*z^2 + 10*a^6*z^2 - 5*z^4 + 29*a^2*z^4 - 39*a^4*z^4 + 
   12*a^6*z^4 - z^6 + 13*a^2*z^6 - 25*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 824] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - z^4/a^2 - a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 825] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (4*z^2)/a^10 - (24*z^2)/a^8 + (37*z^2)/a^6 - (10*z^2)/a^4 + (4*z^4)/a^10 - 
   (25*z^4)/a^8 + (44*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + 
   (26*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 826] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - 
   a^(-2) + (2*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 827] -> 
  7 - 2/a^2 - 5*a^2 + a^6 + 12*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 + 8*z^4 - z^4/a^2 - 8*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 828] -> -4/a^6 + 7/a^4 - 2/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 829] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 830] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^2 - z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[13, Alternating, 831] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   2*z^2 - z^2/a^6 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 832] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 11*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (11*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 833] -> 
  1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 - z^2 - z^2/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, Alternating, 834] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 
   11*z^2 + z^2/a^4 - (5*z^2)/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   10*z^4 + z^4/a^4 - (5*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 835] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 836] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 28*z^2 + 
   (9*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 - 38*z^4 + (12*z^4)/a^2 + 
   29*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 837] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 7*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 838] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 839] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 + 
   (5*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   6*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 840] -> -2 + a^(-4) + 2*a^2 - 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 841] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 26*z^2 - 
   (9*z^2)/a^4 + (27*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 - (12*z^4)/a^4 + 
   (38*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 842] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 843] -> 3 - a^(-2) - a^2 + 9*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 844] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + z^2/a^6 - (5*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 845] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 846] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 847] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 848] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 849] -> a^(-4) - a^(-2) + a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 850] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 
   10*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   10*z^4 + z^4/a^4 - (6*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 851] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 852] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 853] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 854] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 855] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 856] -> a^2 + a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 857] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 858] -> -2/a^12 + 7/a^10 - 10/a^8 + 5/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (17*z^2)/a^10 - (24*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^12 + (13*z^4)/a^10 - (23*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 859] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 860] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 861] -> 3*a^2 - 8*a^4 + 11*a^6 - 5*a^8 + 10*a^2*z^2 - 
   27*a^4*z^2 + 30*a^6*z^2 - 8*a^8*z^2 + 12*a^2*z^4 - 38*a^4*z^4 + 
   30*a^6*z^4 - 5*a^8*z^4 + 6*a^2*z^6 - 25*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 862] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 3*z^2 - 
   3*a^2*z^2 - 5*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 
   7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 863] -> 
  2 - 5*a^2 + 6*a^4 - a^6 - a^8 + 5*z^2 - 12*a^2*z^2 + 8*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 11*a^2*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 
   5*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 864] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 865] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 - 
   (12*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 - (3*z^4)/a^14 - 
   (3*z^4)/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 866] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - z^2/a^14 - 
   (4*z^2)/a^12 + (3*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   (7*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 867] -> 
  -a^(-16) + 5/a^14 - 8/a^12 + a^(-10) + 4/a^8 + (3*z^2)/a^14 - 
   (15*z^2)/a^12 + (9*z^2)/a^10 + (12*z^2)/a^8 - (2*z^4)/a^14 - 
   (6*z^4)/a^12 + (16*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 868] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^14 - 
   z^2/a^12 + (5*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 869] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 870] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 12*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 871] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 872] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 13*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 873] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 874] -> a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 875] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 10*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 876] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^4 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[13, Alternating, 877] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, Alternating, 878] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 879] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - z^2/a^6 + z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 880] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - z^2 - z^2/a^6 - a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 + z^4/a^4 + (2*z^4)/a^2 + a^2*z^4, Knot[13, Alternating, 881] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 882] -> 5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + 
   z^2/a^6 + z^2/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 883] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 + (7*z^2)/a^2 + 19*a^2*z^2 - 
   5*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 884] -> a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 885] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - 
   a^10 - a^2*z^2 + 8*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + z^4 - 5*a^2*z^4 + 
   9*a^4*z^4 - 6*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 886] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[13, Alternating, 887] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 888] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 889] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 890] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (2*z^6)/a^2, Knot[13, Alternating, 891] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 22*z^2 + (7*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 
   29*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 892] -> -2 + a^(-4) + 2*a^2 - 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 893] -> -a^(-8) + 2/a^4 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (10*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 894] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + z^2/a^6 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 895] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 896] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 897] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^6 - (2*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 898] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 899] -> 
  2 - 2*a^2 + a^4 - z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   14*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 900] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 901] -> 
  -2/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 902] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^4 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 903] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 904] -> -2/a^6 + 3/a^4 + z^2/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 905] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 906] -> 
  -7 + 3/a^2 + 5*a^2 + 2*a^4 - 2*a^6 - 15*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + (4*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 907] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 
   4*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[13, Alternating, 908] -> -6 + 3/a^2 + 3*a^2 + 3*a^4 - 
   2*a^6 - 14*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   11*z^4 + (4*z^4)/a^2 + 7*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 909] -> 
  -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 910] -> 
  3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 4*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (8*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 911] -> 
  1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 912] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 913] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 2*z^2 - 
   z^2/a^8 - 2*a^2*z^2 + z^4 + z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[13, Alternating, 914] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 915] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 916] -> -7 + 3/a^2 + 5*a^2 + 2*a^4 - 2*a^6 - 15*z^2 + 
   (6*z^2)/a^2 + 5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[13, Alternating, 917] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + z^4/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 918] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 919] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*z^6 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 920] -> 
  -2 + 10*a^2 - 11*a^4 + 4*a^6 - 7*z^2 + 29*a^2*z^2 - 35*a^4*z^2 + 
   12*a^6*z^2 - 5*z^4 + 30*a^2*z^4 - 43*a^4*z^4 + 13*a^6*z^4 - z^6 + 
   13*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 921] -> 4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 
   9*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 8*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 922] -> 
  5*a^2 - 7*a^4 + 3*a^6 + 4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 15*a^4*z^2 + 
   6*a^6*z^2 + 6*z^4 - z^4/a^2 - a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 923] -> 2 - 3*a^4 + 2*a^6 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 924] -> 3 - a^(-2) - a^2 - 4*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 925] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 926] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 20*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 - (4*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 927] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 928] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - (2*z^2)/a^2 - 
   5*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 929] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 930] -> -2/a^6 + 3/a^4 + z^2/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 931] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 932] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (14*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (18*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 933] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 - 
   z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^2 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 934] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 12*z^2 + (7*z^2)/a^6 - (28*z^2)/a^4 + 
   (36*z^2)/a^2 - 13*z^4 + (5*z^4)/a^6 - (30*z^4)/a^4 + (43*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (13*z^6)/a^4 + (26*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 935] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 10*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + z^4/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 936] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (11*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, Alternating, 937] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 + z^2/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 938] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + 
   (4*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 - 21*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 
   9*a^4*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 939] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 7*z^2 + z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 940] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 20*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 - (4*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 941] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 942] -> -2 - a^(-4) + 3/a^2 + a^2 - 17*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 - (2*z^4)/a^4 + 
   (16*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 943] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 9*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 944] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 945] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   7*a^4*z^2 - 21*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 9*a^4*z^4 - 11*z^6 + 
   z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 946] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 7*z^2 + z^2/a^4 - 
   z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 947] -> 3 - a^(-2) - a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 948] -> 
  4 - 2/a^2 - a^4 - 6*z^2 + z^2/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 9*a^4*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 949] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 950] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 951] -> 4 - 2/a^2 - a^4 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 952] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 953] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 954] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 955] -> 
  3 - a^(-2) - a^2 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 956] -> 4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 
   10*a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 
   2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 957] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 958] -> 1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 959] -> 
  -7 + 4/a^2 + 4*a^2 - 24*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 
   26*z^4 - (8*z^4)/a^4 + (25*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (5*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 960] -> a^(-4) - 2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 961] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 
   10*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 16*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 962] -> 
  3*a^4 - 2*a^6 - a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 963] -> 
  a^2 + a^4 - a^6 + 4*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - 5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 964] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 965] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 966] -> 3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - z^2/a^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 967] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 968] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 969] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 970] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 5*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 971] -> 2 - a^(-2) + a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 972] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 973] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - z^2 + 
   z^2/a^10 - (6*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 974] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 + z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 975] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, Alternating, 976] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (15*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (17*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 977] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 23*z^2 - 
   (4*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 - (3*z^4)/a^4 + 
   (20*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 978] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 21*z^2 + (3*z^2)/a^2 + 36*a^2*z^2 - 
   14*a^4*z^2 - 23*z^4 + (3*z^4)/a^2 + 45*a^2*z^4 - 14*a^4*z^4 - 11*z^6 + 
   z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 979] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - 
   (10*z^4)/a^8 + (16*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 980] -> -3/a^6 + 5/a^4 - a^(-2) - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (9*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (7*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 981] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 982] -> 
  2 - a^(-2) + a^4 - a^6 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 983] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 984] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - z^2/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 985] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 986] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 987] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 988] -> -1 + 7*a^2 - 8*a^4 + 3*a^6 - z^2/a^2 + 
   10*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 989] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 990] -> -a^(-12) + 6/a^10 - 10/a^8 + 4/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (21*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 991] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - z^2/a^12 + 
   (4*z^2)/a^10 - (9*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 992] -> 5 + a^(-4) - 4/a^2 - a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 993] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - 
   (12*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 994] -> -4 + 14*a^2 - 13*a^4 + 4*a^6 - 8*z^2 + 
   33*a^2*z^2 - 36*a^4*z^2 + 12*a^6*z^2 - 5*z^4 + 31*a^2*z^4 - 43*a^4*z^4 + 
   13*a^6*z^4 - z^6 + 13*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 995] -> 
  -6 + 2/a^6 - 11/a^4 + 16/a^2 - 15*z^2 + (5*z^2)/a^6 - (27*z^2)/a^4 + 
   (42*z^2)/a^2 - 14*z^4 + (4*z^4)/a^6 - (27*z^4)/a^4 + (47*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (12*z^6)/a^4 + (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 996] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 11*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - 
   8*a^4*z^2 + 5*a^6*z^2 + 8*z^4 - z^4/a^2 - 6*a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 997] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 12*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 998] -> 
  -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - z^2 - a^2*z^2 + 5*a^4*z^2 + 
   10*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4 + 6*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6, 
 Knot[13, Alternating, 999] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 9*z^2 + 
   (6*z^2)/a^6 - (23*z^2)/a^4 + (28*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1000] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 1001] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 
   10*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 8*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1002] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (5*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[13, Alternating, 1003] -> 1 - a^(-4) + 2/a^2 - a^2 - a^4 + 
   a^6 + 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   (2*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 1004] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 1005] -> -5 + 3/a^2 + 6*a^4 - 3*a^6 - 12*z^2 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1006] -> 
  -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 1007] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 1008] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1009] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^2 - 
   9*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1010] -> 2 - a^2 - a^4 + a^6 - z^2 + 
   6*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 15*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1011] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 16*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 - 
   8*z^4 + 25*a^2*z^4 - 25*a^4*z^4 + 5*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1012] -> -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1013] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 + 
   4*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 
   7*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[13, Alternating, 1014] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1015] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1016] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1017] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   2*z^2 - z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - 
   z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1018] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^4 + 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1019] -> 2 + a^(-4) - 2/a^2 + z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - 
   z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1020] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[13, Alternating, 1021] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1022] -> -2 + 2/a^6 - 9/a^4 + 11/a^2 - a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 1023] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[13, Alternating, 1024] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   8*z^2 + z^2/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 + z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1025] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (15*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1026] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1027] -> 1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1028] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - a^2*z^2 - 2*a^4*z^2 + 20*a^6*z^2 - 
   13*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 19*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 1029] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 5*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (19*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1030] -> 1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + a^2 - 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1031] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (13*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - 
   (15*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1032] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - 
   z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1033] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1034] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 11*z^2 + 
   (4*z^2)/a^6 - (20*z^2)/a^4 + (31*z^2)/a^2 - 11*z^4 + (3*z^4)/a^6 - 
   (21*z^4)/a^4 + (36*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1035] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1036] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - z^4/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1037] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (4*z^4)/a^10 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 1038] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - z^4/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1039] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - z^4/a^2 + 
   a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1040] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 1041] -> -5 + 3/a^2 + a^2 + 4*a^4 - 2*a^6 - 
   11*z^2 + (5*z^2)/a^2 - 2*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1042] -> 
  -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 5*z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 1043] -> 
  3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 4*z^2 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   z^2/a^4 - (10*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1044] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1045] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1046] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^8 + 
   z^2/a^4 - 2*a^2*z^2 + z^4 + z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[13, Alternating, 1047] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 5*a^4*z^2 - 
   6*a^6*z^2 + 10*a^8*z^2 - 2*a^12*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 4*a^8*z^4 + 
   5*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 1048] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 1049] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 10*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 12*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 9*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1050] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 
   3*a^6*z^2 + z^4 - (2*z^4)/a^2 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, Alternating, 1051] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 5*a^4*z^2 - 
   5*a^6*z^2 + 9*a^8*z^2 - a^10*z^2 - a^12*z^2 + a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 1052] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 9*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 11*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1053] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1054] -> 1 + 2*z^2 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1055] -> 1 + a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1056] -> -a^(-4) + 2/a^2 + z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1057] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 - (2*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1058] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 1059] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1060] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 
   6*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1061] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 - (10*z^2)/a^12 + (10*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 - (2*z^4)/a^12 + (12*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 1062] -> a^(-14) - 3/a^12 + 2/a^8 + 
   a^(-6) - z^2/a^14 - (3*z^2)/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 1063] -> 
  -a^(-16) + 7/a^14 - 14/a^12 + 7/a^10 + 2/a^8 + (6*z^2)/a^14 - 
   (28*z^2)/a^12 + (24*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - (15*z^4)/a^12 + 
   (30*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 1064] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - (5*z^2)/a^12 + z^2/a^10 + 
   (9*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - z^4/a^12 + (6*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 1065] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   4*z^2 + (6*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 1066] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   24*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 9*a^2*z^2 - 32*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1067] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 7*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1068] -> -a^(-2) + 5*a^2 - 3*a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1069] -> -7 + 2/a^6 - 12/a^4 + 18/a^2 - 17*z^2 + 
   (4*z^2)/a^6 - (27*z^2)/a^4 + (46*z^2)/a^2 - 15*z^4 + (3*z^4)/a^6 - 
   (25*z^4)/a^4 + (50*z^4)/a^2 - 6*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (28*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1070] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 11*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1071] -> 
  a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1072] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + 
   a^4 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1073] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + (2*z^2)/a^14 - (20*z^2)/a^12 + 
   (21*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^14 - (10*z^4)/a^12 + 
   (29*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + z^6/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 1074] -> 2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) - 
   (9*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - 
   (2*z^4)/a^12 + (11*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1075] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1076] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1077] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 1078] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + a^4 + 
   4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   5*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 1079] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 
   9*a^4*z^2 - 19*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 10*a^4*z^4 - 10*z^6 + 
   z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1080] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (19*z^2)/a^4 + (33*z^2)/a^2 - 11*z^4 + (3*z^4)/a^6 - 
   (20*z^4)/a^4 + (37*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1081] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1082] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1083] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 1084] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1085] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 1086] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1087] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + 3*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (16*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1088] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1089] -> -8 - 2/a^4 + 8/a^2 + 2*a^2 + a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 + 4*a^4*z^2 - 22*z^4 - z^4/a^4 + (13*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - 11*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[13, Alternating, 1090] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[13, Alternating, 1091] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - z^2/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 
   4*a^6*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1092] -> 2 + a^(-4) - 2/a^2 + 6*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1093] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 1094] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 1095] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 
   9*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1096] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + a^6*z^2 + (2*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 1097] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1098] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^10 - 
   z^2/a^8 - (6*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - 
   (4*z^4)/a^8 - z^4/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1099] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   4*a^2*z^2 + 9*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 - 
   2*a^2*z^4 + 9*a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   3*a^6*z^6, Knot[13, Alternating, 1100] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 
   10*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + (30*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1101] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (4*z^2)/a^10 - (19*z^2)/a^8 + (25*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (31*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 1102] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1103] -> 
  4 - 6*a^2 + 4*a^4 - 2*a^6 + a^8 + 7*z^2 - (2*z^2)/a^2 - 13*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 6*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1104] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - z^4 + 
   (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[13, Alternating, 1105] -> 
  a^2 + a^4 - 2*a^8 + a^10 + 4*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - 5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 1106] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1107] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   6*a^4*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 1108] -> 
  3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 + 8*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1109] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 1110] -> 
  5*a^2 - 7*a^4 + 3*a^6 - 4*z^2 + 17*a^2*z^2 - 23*a^4*z^2 + 8*a^6*z^2 - 
   8*z^4 + 25*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1111] -> 2 - 3*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1112] -> 1 + 2*a^2 - 3*a^4 + a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 
   7*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[13, Alternating, 1113] -> 3 - 3*a^2 + a^4 - a^6 + a^8 + 
   2*z^2 - z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 1114] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1115] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1116] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2/a^6 - 
   (3*z^2)/a^4 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1117] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^6 + z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (3*z^6)/a^2, Knot[13, Alternating, 1118] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (13*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1119] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (9*z^4)/a^10 - (12*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 1120] -> 2/a^14 - 5/a^12 + a^(-10) + 
   2/a^8 + a^(-6) + z^2/a^14 - (10*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^14 - (3*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 1121] -> -a^(-4) + 2/a^2 - 7*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1122] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - 8*z^2 + 22*a^2*z^2 - 9*a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 31*a^2*z^4 - 10*a^4*z^4 - 9*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1123] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1124] -> a^(-6) - a^(-4) + a^2 - 2*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1125] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 1126] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 
   4*a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1127] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 1128] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1129] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[13, Alternating, 1130] -> 
  a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1131] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1132] -> 1 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1133] -> 4 - 6*a^2 + 4*a^4 - 2*a^6 + a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 14*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1134] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 10*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 16*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 1135] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 
   4*z^2 - z^2/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1136] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1137] -> -a^(-8) + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1138] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1139] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1140] -> -2/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1141] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 
   16*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 1142] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 1143] -> 3 - a^(-2) - a^2 + 5*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1144] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1145] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 7*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 8*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1146] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 4*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1147] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1148] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) - z^2/a^12 + (7*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - (7*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1149] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 8*a^2*z^2 - 
   23*a^4*z^2 + 27*a^6*z^2 - 8*a^8*z^2 + 9*a^2*z^4 - 30*a^4*z^4 + 
   27*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1150] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 6*a^2*z^2 + 
   a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 7*a^2*z^4 - 2*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 1151] -> 2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 
   10*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1152] -> 
  4 + a^(-4) - 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 7*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1153] -> a^(-4) - a^(-2) + 2*a^4 - a^6 + 
   3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   5*z^4 + z^4/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 1154] -> 
  1 - 2/a^4 + 4/a^2 - 4*a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - z^4/a^4 + (8*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1155] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1156] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1157] -> 1 - a^(-12) + 2/a^10 - 2/a^6 + a^(-4) + z^2 + 
   (3*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 1158] -> 
  2/a^10 - 5/a^8 + 6/a^4 - 2/a^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (4*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (6*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1159] -> 
  -1 + a^(-10) - 2/a^8 - a^(-6) + 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   (2*z^4)/a^8 + (5*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1160] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1161] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 1162] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 
   5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1163] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 
   4*a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1164] -> -2/a^6 + 3/a^4 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1165] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + (2*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1166] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1167] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1168] -> 
  -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1169] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1170] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1171] -> 
  1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 3*z^2 - 8*a^2*z^2 + 12*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 10*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 + 
   z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1172] -> 
  3 - a^(-6) + 4/a^4 - 4/a^2 - 3*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1173] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 1174] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1175] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1176] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 4*a^2*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1177] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1178] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - z^4/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1179] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1180] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 + z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4/a^6 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1181] -> 
  1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1182] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   2/a^6 - a^(-4) + 2/a^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 - z^2/a^4 + 
   (3*z^2)/a^2 + (3*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1183] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 
   a^(-4) + z^2 + (3*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 1184] -> 
  2/a^10 - 6/a^8 + 2/a^6 + 5/a^4 - 2/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (13*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (18*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1185] -> -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 
   2/a^2 - 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1186] -> -1 - 2/a^4 + 4/a^2 - z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[13, Alternating, 1187] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 1188] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[13, Alternating, 1189] -> 
  -1 - 2/a^4 + 4/a^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1190] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1191] -> a^(-4) - a^(-2) + a^2 - (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1192] -> 
  3 - 3*a^2 + a^6 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^8*z^2 + z^4 - 
   z^4/a^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 1193] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1194] -> 1 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1195] -> 2 - 2*a^2 + a^4 + 2*z^2 - 3*a^2*z^2 - 
   a^4*z^2 + a^8*z^2 - z^4/a^2 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[13, Alternating, 1196] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   4*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1197] -> -3 + 3/a^2 - a^2 + 2*a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1198] -> 
  a^(-4) - a^2 + a^6 + z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[13, Alternating, 1199] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[13, Alternating, 1200] -> 2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1201] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1202] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 - (8*z^2)/a^6 + (10*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1203] -> 
  a^(-8) - 2/a^6 + 2/a^2 - z^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1204] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (17*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (19*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 1205] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (13*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 1206] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 26*a^2*z^2 - 27*a^4*z^2 + 9*a^6*z^2 - 
   5*z^4 + 29*a^2*z^4 - 38*a^4*z^4 + 12*a^6*z^4 - z^6 + 13*a^2*z^6 - 
   25*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1207] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 32*z^2 - 
   (4*z^2)/a^4 + (21*z^2)/a^2 + 12*a^2*z^2 - 42*z^4 - (4*z^4)/a^4 + 
   (25*z^4)/a^2 + 13*a^2*z^4 - 26*z^6 - z^6/a^4 + (12*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1208] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 + 6*z^4 - z^4/a^2 - 11*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1209] -> 
  -7 + 4/a^2 + 4*a^2 - 15*z^2 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 
   6*a^2*z^2 - 12*z^4 - z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1210] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 21*z^2 + 
   (4*z^2)/a^2 + 32*a^2*z^2 - 12*a^4*z^2 - 25*z^4 + (4*z^4)/a^2 + 
   42*a^2*z^4 - 13*a^4*z^4 - 12*z^6 + z^6/a^2 + 26*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1211] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 14*a^2*z^2 - 
   6*a^4*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1212] -> -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 1213] -> 
  -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - z^4/a^4 + (9*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1214] -> -3 + 3/a^2 - a^2 + 2*a^4 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1215] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 6*z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   11*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1216] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 5*z^2 - z^2/a^4 - 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 1217] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 5*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - 
   (18*z^2)/a^4 - (2*z^2)/a^2 + 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (22*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 - 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 1218] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (16*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (18*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1219] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1220] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + (7*z^2)/a^6 - (25*z^2)/a^4 + 
   (28*z^2)/a^2 - 12*z^4 + (5*z^4)/a^6 - (29*z^4)/a^4 + (38*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (13*z^6)/a^4 + (25*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1221] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1222] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, Alternating, 1223] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 1224] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + 27*a^2*z^2 - 26*a^4*z^2 + 9*a^6*z^2 - 
   5*z^4 + 29*a^2*z^4 - 38*a^4*z^4 + 12*a^6*z^4 - z^6 + 13*a^2*z^6 - 
   25*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1225] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1226] -> 
  -4 + 10*a^2 - 5*a^4 - 19*z^2 + (3*z^2)/a^2 + 34*a^2*z^2 - 13*a^4*z^2 - 
   24*z^4 + (4*z^4)/a^2 + 43*a^2*z^4 - 13*a^4*z^4 - 12*z^6 + z^6/a^2 + 
   26*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1227] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2/a^4 - 
   (4*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1228] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1229] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 - z^2/a^10 + (7*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 1230] -> -a^(-16) + 6/a^14 - 12/a^12 + 6/a^10 + 
   2/a^8 - z^2/a^16 + (11*z^2)/a^14 - (34*z^2)/a^12 + (27*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^4)/a^14 - (26*z^4)/a^12 + (34*z^4)/a^10 + (9*z^4)/a^8 - 
   (6*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 1231] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 31*z^2 + 
   (7*z^2)/a^2 + 43*a^2*z^2 - 15*a^4*z^2 - 31*z^4 + (5*z^4)/a^2 + 
   48*a^2*z^4 - 14*a^4*z^4 - 13*z^6 + z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1232] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 7*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   19*a^2*z^2 - 7*a^4*z^2 + z^4 + z^4/a^4 - (6*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1233] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   3*z^2 - z^2/a^10 + (6*z^2)/a^8 - (10*z^2)/a^4 + z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[13, Alternating, 1234] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 1235] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (9*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 1236] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 8*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[13, Alternating, 1237] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 31*z^2 + (7*z^2)/a^2 + 43*a^2*z^2 - 
   15*a^4*z^2 - 31*z^4 + (5*z^4)/a^2 + 48*a^2*z^4 - 14*a^4*z^4 - 13*z^6 + 
   z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1238] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 7*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 + z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 1239] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 11*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - z^4/a^2 - 7*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1240] -> 4 - 2/a^2 - a^4 + 9*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^4 - (7*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1241] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + 
   a^6 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6, Knot[13, Alternating, 1242] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[13, Alternating, 1243] -> a^4 + a^8 - a^12 + 4*a^4*z^2 - 
   a^6*z^2 + 3*a^8*z^2 + 5*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + 
   7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 1244] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + a^2*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[13, Alternating, 1245] -> 
  -2/a^12 + 5/a^10 - 3/a^8 - 3/a^6 + 4/a^4 - (3*z^2)/a^12 + (14*z^2)/a^10 - 
   (12*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (17*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1246] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 - 
   z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1247] -> 
  1 - 2*a^2 + 3*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 3*z^2 - 6*a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 7*a^2*z^4 + 
   7*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, Alternating, 1248] -> 1 - 2*a^2 + 3*a^4 - a^6 + a^8 - 
   a^10 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 2*z^4 - 
   a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 1249] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1250] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1251] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1252] -> 
  2 - 3*a^4 + 2*a^6 - z^2 + 8*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - 7*z^4 + 
   20*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 12*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1253] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1254] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 
   a^4*z^2 + 12*a^6*z^2 - 16*a^8*z^2 + 6*a^10*z^2 - 6*a^4*z^4 + 22*a^6*z^4 - 
   23*a^8*z^4 + 5*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 
   a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 1255] -> a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 1256] -> 
  a^2 + a^4 - 2*a^8 + a^10 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 
   2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 1257] -> -2/a^6 + 3/a^4 + z^2/a^10 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1258] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (9*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (7*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1259] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2 + z^2/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1260] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 + 4*z^4 - z^4/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1261] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (16*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 1262] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1263] -> -1 - 2/a^4 + 4/a^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1264] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1265] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 1266] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (16*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 1267] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 20*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   4*a^4*z^2 - 22*z^4 - z^4/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   11*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[13, Alternating, 1268] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1269] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 + 
   a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1270] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 6/a^10 + 2/a^8 + (5*z^2)/a^14 - 
   (21*z^2)/a^12 + (16*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^12 + 
   (15*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 1271] -> -a^(-12) + 5/a^10 - 9/a^8 + 
   5/a^6 + a^(-4) - (2*z^2)/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (17*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 1272] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 12*z^2 + z^2/a^4 + z^2/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1273] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, Alternating, 1274] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[13, Alternating, 1275] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[13, Alternating, 1276] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - (3*z^2)/a^2 - 
   2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1277] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 1278] -> a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1279] -> 
  -a^(-6) + a^(-4) + a^(-2) + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1280] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 1281] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, Alternating, 1282] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1283] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 + (2*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 1284] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + (2*z^4)/a^8 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, Alternating, 1285] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1286] -> 
  4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 2*a^4*z^4 + 
   2*z^6 + z^6/a^2 + a^2*z^6, Knot[13, Alternating, 1287] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (7*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1288] -> 
  a^4 + 2*a^10 - 2*a^12 + 3*a^4*z^2 + 2*a^6*z^2 + 7*a^10*z^2 - 3*a^12*z^2 + 
   3*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 1289] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1290] -> 2*a^4 - 3*a^6 + 4*a^8 - a^10 - a^12 + 
   5*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 + 5*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 
   5*a^6*z^4 + 7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 
   2*a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, Alternating, 1291] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 2*z^2 - 4*a^2*z^2 + 10*a^4*z^2 - 
   10*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 6*a^2*z^4 + 8*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 1292] -> 4 - a^(-6) + 3/a^4 - 3/a^2 - 4*a^2 + 2*a^4 + 
   10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   10*z^4 - z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1293] -> 
  a^(-2) - a^4 + a^6 - z^2/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 1294] -> 1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   z^2 + z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - 
   3*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 1295] -> a^2 - a^4 + a^6 + a^8 - a^12 + 2*a^2*z^2 + 
   4*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + 
   a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 1296] -> a^2 + a^8 - a^10 - z^2 + z^2/a^2 + 
   2*a^2*z^2 - a^6*z^2 + 3*a^8*z^2 - 2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[13, Alternating, 1297] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   5*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 + 
   5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 1298] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   z^2 - 2*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1299] -> 2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1300] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 8*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1301] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 1302] -> 
  a^2 + a^4 - 2*a^8 + a^10 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - z^4 + 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[13, Alternating, 1303] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (15*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1304] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 20*z^2 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 30*z^4 - (2*z^4)/a^4 + 
   (16*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1305] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (18*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - 
   (17*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1306] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^14 - 
   (12*z^2)/a^12 + (10*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - z^4/a^14 - 
   (4*z^4)/a^12 + (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1307] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (23*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^8 + (19*z^4)/a^6 - (32*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 1308] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1309] -> -5 + 12*a^2 - 6*a^4 - 19*z^2 + (2*z^2)/a^2 + 
   38*a^2*z^2 - 15*a^4*z^2 - 22*z^4 + (3*z^4)/a^2 + 46*a^2*z^4 - 14*a^4*z^4 - 
   11*z^6 + z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 1310] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   11*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 - 11*z^4 + 
   (2*z^4)/a^6 - (17*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1311] -> -1 - a^(-2) + 7*a^2 - 4*a^4 + z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1312] -> 2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - z^4/a^4 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1313] -> -a^(-8) + 2/a^4 - z^2/a^12 + 
   (2*z^2)/a^10 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - z^4/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1314] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + 3*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (16*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1315] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + 
   (4*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - 
   (20*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1316] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 10*z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (30*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1317] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^12 - (2*z^2)/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^10 + (4*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1318] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 - z^2/a^8 + (9*z^2)/a^4 - (8*z^2)/a^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1319] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - 
   z^2/a^12 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^12 + 
   (4*z^4)/a^10 + z^4/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1320] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[13, Alternating, 1321] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1322] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 1323] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1324] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1325] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, Alternating, 1326] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1327] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - 
   z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1328] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1329] -> a^4 + 2*a^8 - 2*a^10 + 4*a^4*z^2 - 
   2*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 - a^12*z^2 + a^2*z^4 + 2*a^4*z^4 - 
   4*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 1330] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + z^2 - 
   3*a^2*z^2 + 11*a^4*z^2 - 12*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 
   5*a^2*z^4 + 9*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 1331] -> 
  -2/a^12 + 5/a^10 - 4/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (9*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1332] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + z^2 + (4*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 1333] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1334] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1335] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1336] -> 1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   2*z^2 - 4*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + z^4 - 
   5*a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 1337] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 - a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 + z^4 - 4*a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 1338] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1339] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 5*a^8*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 1340] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1341] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - 4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1342] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 9*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1343] -> 3 - 3*a^2 + a^4 - a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1344] -> 1 + a^(-2) - 2*a^2 + a^4 - a^6 + 
   a^8 + 2*z^2 - z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 
   4*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1345] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1346] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   8*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 - 
   5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 1347] -> 4*a^4 - 3*a^6 - a^8 + a^10 - a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 1348] -> 
  a^2 + 3*a^6 - 5*a^8 + 2*a^10 + a^2*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 
   2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 1349] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1350] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1351] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   2*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1352] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1353] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + (2*z^2)/a^14 - (17*z^2)/a^12 + 
   (16*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (6*z^4)/a^12 + 
   (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1354] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + z^2/a^14 - (16*z^2)/a^12 + 
   (17*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (5*z^4)/a^12 + 
   (18*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1355] -> 
  4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + (3*z^2)/a^14 - (25*z^2)/a^12 + 
   (27*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^14 - (12*z^4)/a^12 + 
   (33*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + z^6/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 1356] -> 2/a^14 - 5/a^12 + 4/a^8 - (8*z^2)/a^12 + 
   (4*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (2*z^4)/a^12 + 
   (9*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1357] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 16*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   6*a^2*z^2 - 27*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 1358] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (25*z^2)/a^4 + (11*z^2)/a^2 - (3*z^4)/a^8 + 
   (18*z^4)/a^6 - (33*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 1359] -> -6 + 14*a^2 - 7*a^4 - 18*z^2 + 
   z^2/a^2 + 40*a^2*z^2 - 16*a^4*z^2 - 21*z^4 + (3*z^4)/a^2 + 47*a^2*z^4 - 
   14*a^4*z^4 - 11*z^6 + z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1360] -> 
  1 - 2/a^2 + 6*a^2 - 4*a^4 + 3*z^2 - (4*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 
   5*z^4 + z^4/a^4 - (4*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1361] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 5*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1362] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1363] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 1364] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1365] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1366] -> -1 + a^(-4) + a^4 - 3*z^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^6 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[13, Alternating, 1367] -> -2 + 2/a^2 + a^4 - 4*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1368] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (16*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + 
   (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 1369] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1370] -> -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1371] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 
   2*z^2 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1372] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - 
   z^2/a^2 + 7*a^4*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 1373] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 
   3*z^2 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^4 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1374] -> a^(-2) - a^2 + a^4 + z^2/a^4 - z^2/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1375] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 1376] -> 
  2*a^4 + 3*a^6 - 7*a^8 + 3*a^10 + a^4*z^2 + 13*a^6*z^2 - 20*a^8*z^2 + 
   7*a^10*z^2 - 6*a^4*z^4 + 22*a^6*z^4 - 24*a^8*z^4 + 5*a^10*z^4 - 
   5*a^4*z^6 + 18*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[13, Alternating, 1377] -> 
  5*a^4 - 5*a^6 + a^10 - a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 5*a^8*z^2 + 
   3*a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 1378] -> a^2 + a^4 + a^6 - 4*a^8 + 2*a^10 + a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 1379] -> 
  2*a^2 - a^6 - a^8 + a^10 + a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - z^4 + 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[13, Alternating, 1380] -> -1 + a^(-4) + a^4 + 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1381] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1382] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 + z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1383] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 6*a^2*z^2 - 
   18*a^4*z^2 + 22*a^6*z^2 - 7*a^8*z^2 + 8*a^2*z^4 - 26*a^4*z^4 + 
   25*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1384] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 - a^2*z^2 - 
   4*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 1385] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + 
   a^4 + 7*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 8*z^4 - z^4/a^6 + (6*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1386] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1387] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (8*z^2)/a^2 + 
   4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1388] -> 1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - 
   z^2 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[13, Alternating, 1389] -> -2/a^8 + 4/a^6 - a^(-4) - 
   a^(-2) + a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1390] -> 
  2/a^10 - 5/a^8 + a^(-6) + 4/a^4 - a^(-2) + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (5*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1391] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^8 + (4*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1392] -> 
  4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 11*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1393] -> -a^(-10) + a^(-8) + 2/a^6 - 2/a^4 + a^2 + 
   (3*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, Knot[13, Alternating, 1394] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1395] -> 
  4*a^4 - 4*a^6 + a^8 + z^2 - 4*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   3*z^4 - z^4/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1396] -> 
  -2/a^12 + 6/a^10 - 5/a^8 - 2/a^6 + 4/a^4 - (3*z^2)/a^12 + (15*z^2)/a^10 - 
   (15*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (18*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1397] -> 1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - 8*a^2*z^2 + 
   7*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 1398] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 
   2/a^2 + 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 + 
   z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1399] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 1400] -> 5 - a^(-2) - 3*a^2 - 2*a^4 + 
   2*a^6 + 8*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1401] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1402] -> 2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 1403] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + 
   a^(-2) - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1404] -> 
  2/a^10 - 6/a^8 + 3/a^6 + 3/a^4 - a^(-2) + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (13*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (16*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1405] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (12*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1406] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 4*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1407] -> -1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + a^2 - 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 1408] -> 2/a^6 - 9/a^4 + 10/a^2 - 2*a^2 + 
   2*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (23*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 1409] -> -a^(-10) + 2/a^8 - a^(-4) + a^2 - z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1410] -> 1 + a^(-8) - 4/a^6 + 3/a^4 + a^(-2) - a^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[13, Alternating, 1411] -> 3 - a^(-2) - 3*a^2 + 5*a^4 - 
   4*a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1412] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1413] -> -2/a^12 + 5/a^10 - 3/a^8 - a^(-6) + 2/a^2 - 
   z^2/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^2 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1414] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 6*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1415] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^4 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1416] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1417] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 + (2*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1418] -> 
  4*a^4 - 4*a^6 + a^8 + 6*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 1419] -> 2*a^2 - a^4 + 2*a^2*z^2 - 2*a^6*z^2 + 
   a^10*z^2 - z^4 + a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[13, Alternating, 1420] -> -4 + 3/a^2 + a^2 + a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1421] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1422] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - (3*z^2)/a^2 + a^2*z^2 - a^6*z^2 + z^4/a^4 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1423] -> a^(-2) - a^6 + a^8 - z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1424] -> 1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 1425] -> 
  5 - 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1426] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 5*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1427] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 2*z^2 + (2*z^2)/a^2 + 3*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1428] -> -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) - 
   z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1429] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^2 - z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1430] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 1431] -> 
  -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1432] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (19*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (22*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[13, Alternating, 1433] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (8*z^4)/a^4 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1434] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 1435] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[13, Alternating, 1436] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 7/a^10 + a^(-6) + (4*z^2)/a^14 - 
   (16*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (6*z^4)/a^12 + 
   (9*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 1437] -> -a^(-10) + 2/a^8 + a^(-6) - 
   3/a^4 + a^(-2) + a^2 + (3*z^2)/a^8 - (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[13, Alternating, 1438] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   6*z^2 + z^2/a^8 - (7*z^2)/a^6 + (12*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1439] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (3*z^6)/a^2, Knot[13, Alternating, 1440] -> 
  -2/a^12 + 5/a^10 - 4/a^8 + a^(-6) - a^(-4) + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1441] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + z^2 + (3*z^2)/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 1442] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^6 - a^8 + 
   7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 
   5*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[13, Alternating, 1443] -> a^(-2) - a^2 + a^4 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1444] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1445] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4/a^6 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1446] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 1447] -> 
  2 - a^(-2) + a^4 - a^6 + 2*z^2 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^4 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1448] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1449] -> 1 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1450] -> 3*a^4 - 2*a^6 + 6*a^4*z^2 - 3*a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 1451] -> a^2 + a^4 - a^6 + 2*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + a^10*z^2 - z^4 + a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 1452] -> 
  2 - 2*a^4 + a^8 + 2*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 
   4*a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 1453] -> 
  a^(-2) + a^2 - 2*a^4 + a^8 - z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 1454] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1455] -> -a^(-4) + 2/a^2 + 2*z^2 - z^2/a^4 + z^2/a^2 - 
   a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[13, Alternating, 1456] -> 
  1 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1457] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 27*z^2 - 
   (7*z^2)/a^4 + (26*z^2)/a^2 + 9*a^2*z^2 - 38*z^4 - (5*z^4)/a^4 + 
   (29*z^4)/a^2 + 12*a^2*z^4 - 25*z^6 - z^6/a^4 + (13*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1458] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^6 + (6*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1459] -> -11 - 4/a^4 + 12/a^2 + 4*a^2 - 40*z^2 - 
   (8*z^2)/a^4 + (34*z^2)/a^2 + 14*a^2*z^2 - 47*z^4 - (5*z^4)/a^4 + 
   (32*z^4)/a^2 + 14*a^2*z^4 - 27*z^6 - z^6/a^4 + (13*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1460] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 - z^4/a^6 + (9*z^4)/a^4 - (10*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1461] -> -2 - a^(-8) + 2/a^6 + 2*a^2 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[13, Alternating, 1462] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 - 
   2*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 
   5*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 1463] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 2*z^2 + 2*a^2*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - z^4/a^2 + 3*a^2*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 1464] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 - (17*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^12 + (13*z^4)/a^10 - (21*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 1465] -> -a^(-12) + 2/a^10 - a^(-8) - 
   2/a^6 + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1466] -> 3*a^6 - 5*a^8 + 7*a^10 - 4*a^12 + 
   13*a^6*z^2 - 19*a^8*z^2 + 27*a^10*z^2 - 10*a^12*z^2 + 16*a^6*z^4 - 
   30*a^8*z^4 + 32*a^10*z^4 - 6*a^12*z^4 + 7*a^6*z^6 - 23*a^8*z^6 + 
   14*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[13, Alternating, 1467] -> a^4 - a^8 + 4*a^10 - 3*a^12 + 4*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + 11*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 
   4*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 
   2*a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, Alternating, 1468] -> 
  3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + 3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 
   11*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 
   9*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 1469] -> 
  a^4 + 2*a^10 - 2*a^12 + a^2*z^2 + 3*a^4*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + a^2*z^4 - 3*a^6*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   a^8*z^6, Knot[13, Alternating, 1470] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   6*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   6*z^4 - z^4/a^2 - 9*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1471] -> 
  2*a^4 - 3*a^6 + 3*a^8 + a^10 - 2*a^12 + 7*a^4*z^2 - 8*a^6*z^2 + 7*a^8*z^2 + 
   6*a^10*z^2 - 3*a^12*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + a^4*z^6 - 5*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - 
   a^8*z^8, Knot[13, Alternating, 1472] -> 2*a^4 - 3*a^6 + 4*a^8 - a^10 - 
   a^12 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[13, Alternating, 1473] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1474] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^4*z^2 - 3*a^6*z^2 - z^4 + 
   (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[13, Alternating, 1475] -> 
  a^2 - a^4 + a^6 + 2*a^10 - 2*a^12 + 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 
   5*a^10*z^2 - a^12*z^2 + a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 
   2*a^10*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6, Knot[13, Alternating, 1476] -> 
  a^2 - a^4 + a^6 + a^8 - a^12 + z^2 + a^2*z^2 + a^6*z^2 + 2*a^8*z^2 + 
   2*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[13, Alternating, 1477] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1478] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 
   5*a^2*z^2 - 14*a^4*z^2 + 21*a^6*z^2 - 7*a^8*z^2 + 8*a^2*z^4 - 25*a^4*z^4 + 
   25*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1479] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 3*z^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 7*a^2*z^4 - 
   2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1480] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 9*a^4*z^2 - 8*a^6*z^2 + 
   2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 1481] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 8*z^2 + 
   z^2/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 20*z^4 + (7*z^4)/a^2 + 24*a^2*z^4 - 
   5*a^4*z^4 - 18*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1482] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1483] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 + z^4 - (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1484] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 6*z^2 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1485] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 2*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1486] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 27*z^2 - 
   (6*z^2)/a^4 + (25*z^2)/a^2 + 9*a^2*z^2 - 33*z^4 - (4*z^4)/a^4 + 
   (24*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1487] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 19*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 
   6*a^2*z^2 - 28*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 1488] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[13, Alternating, 1489] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1490] -> 2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^4 - 
   7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1491] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (10*z^2)/a^10 - (9*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (9*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1492] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 + z^2 + (4*z^2)/a^10 - z^2/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 1493] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1494] -> 
  3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   7*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 - 2*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 1495] -> a^4 + a^8 - a^12 + a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 - 2*a^6*z^4 + 
   a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 1496] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 8*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - 
   (3*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1497] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + z^2 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1498] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   10*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   9*z^4 - z^4/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1499] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 
   10*a^8*z^2 - a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 
   4*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 1500] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 3*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1501] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - 
   z^2 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, Alternating, 1502] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1503] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 5*a^2*z^2 - 
   15*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 8*a^2*z^4 - 25*a^4*z^4 + 
   26*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1504] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 4*a^2*z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 1505] -> 1 - 2*a^2 + a^4 + 4*a^6 - 3*a^8 + 
   3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   7*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1506] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 + z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 1507] -> 
  a^2 + a^6 - a^8 + a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 1508] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + z^4 + z^4/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1509] -> 3*a^4 - 2*a^6 + z^2 - 4*a^2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   z^6 - 3*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1510] -> 1 - a^(-6) + 2/a^2 - a^2 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1511] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1512] -> -a^(-2) + 5*a^2 - 3*a^4 - 7*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + (5*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 1513] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^4*z^2 - 
   a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 1514] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1515] -> -2 - 3/a^4 + 6/a^2 - 13*z^2 - (5*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 24*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1516] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1517] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1518] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1519] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 1520] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 
   a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 1521] -> a^4 + a^6 - a^8 + a^10 - a^12 + 3*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 
   a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 1522] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 7*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1523] -> 
  2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1524] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1525] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   z^2/a^8 - z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1526] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 7*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 8*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1527] -> 
  6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 10*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 8*z^4 + z^4/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1528] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - 9*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 20*z^4 + (7*z^4)/a^2 + 25*a^2*z^4 - 
   5*a^4*z^4 - 18*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1529] -> 
  6 - 3/a^2 - a^2 - a^4 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1530] -> -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1531] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[13, Alternating, 1532] -> -3 + a^(-2) + 4*a^2 - a^6 - 
   5*z^2 + z^2/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1533] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^4 - z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1534] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1535] -> -1 + a^(-4) - a^2 + 3*a^4 - a^6 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1536] -> 
  1 - 3/a^4 + 5/a^2 - 3*a^2 + a^4 + z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 
   9*a^2*z^2 + 4*a^4*z^2 - 3*z^4 - z^4/a^4 + (9*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1537] -> -a^(-6) + 3/a^2 - 2*a^2 + a^4 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1538] -> -1 - 4/a^4 + 8/a^2 - 4*a^2 + 2*a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1539] -> 
  -1 - 2/a^6 + 3/a^4 + a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1540] -> -a^(-8) + a^(-6) + a^(-4) - a^2 + a^4 - 
   2*z^2 + (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4, Knot[13, Alternating, 1541] -> 
  -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 5*a^4*z^2 + 25*a^6*z^2 - 17*a^8*z^2 + 
   3*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 22*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 1542] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   2*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 - a^2*z^4 + 
   6*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 1543] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 3*a^4*z^2 + 
   19*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 18*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 1544] -> 
  5*a^6 - 5*a^8 + a^10 + a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 1545] -> -2/a^12 + 7/a^10 - 9/a^8 + 3/a^6 + 2/a^4 - 
   (3*z^2)/a^12 + (17*z^2)/a^10 - (21*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^12 + (13*z^4)/a^10 - (22*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 1546] -> -a^(-12) + 3/a^10 - 2/a^8 - 
   3/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1547] -> 3*a^2 - 9*a^4 + 13*a^6 - 6*a^8 + 10*a^2*z^2 - 
   30*a^4*z^2 + 37*a^6*z^2 - 11*a^8*z^2 + 12*a^2*z^4 - 39*a^4*z^4 + 
   35*a^6*z^4 - 6*a^8*z^4 + 6*a^2*z^6 - 25*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1548] -> 1 - a^2 - 2*a^4 + 7*a^6 - 4*a^8 + 3*z^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 
   6*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1549] -> 
  2 - 5*a^2 + 5*a^4 + a^6 - 2*a^8 + 5*z^2 - 12*a^2*z^2 + 7*a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 11*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 
   5*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1550] -> -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 2*a^8 - 
   4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 1551] -> 1 - 2*a^2 + 5*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   3*z^2 - 8*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   10*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1552] -> 3*a^2 - 8*a^4 + 11*a^6 - 5*a^8 + 
   8*a^2*z^2 - 23*a^4*z^2 + 28*a^6*z^2 - 8*a^8*z^2 + 9*a^2*z^4 - 30*a^4*z^4 + 
   27*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1553] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 3*z^2 - 
   5*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 7*a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1554] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (4*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (5*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1555] -> 
  3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1556] -> 2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 4*z^2 - 
   10*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1557] -> 
  3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 6*a^2*z^2 - 19*a^4*z^2 + 25*a^6*z^2 - 
   8*a^8*z^2 + 8*a^2*z^4 - 26*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 
   19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 1558] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 
   4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1559] -> 
  -2 + 10*a^2 - 11*a^4 + 4*a^6 - 5*z^2 + 25*a^2*z^2 - 33*a^4*z^2 + 
   12*a^6*z^2 - 4*z^4 + 26*a^2*z^4 - 42*a^4*z^4 + 13*a^6*z^4 - z^6 + 
   12*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 1560] -> 3 - a^(-2) + 2*a^2 - 6*a^4 + 
   3*a^6 + 6*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1561] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 1562] -> 2 - a^(-2) + a^4 - a^6 + 
   5*z^2 - (2*z^2)/a^2 - a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1563] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 8*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1564] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   5*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 1565] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 25*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   9*a^2*z^2 - 32*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 1566] -> 3*a^2 - 3*a^4 + a^6 + z^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1567] -> 2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - a^(-2) + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (21*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[13, Alternating, 1568] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 
   z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 1569] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 1570] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1571] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 
   9*a^4*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1572] -> 
  3 - 2/a^6 + 5/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (11*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1573] -> -a^(-8) + 2/a^6 - a^(-4) + a^(-2) - 
   a^2 + a^4 + z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (3*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[13, Alternating, 1574] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   5*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1575] -> 
  -2*a^2 + 6*a^4 - a^6 - 3*a^8 + a^10 - 5*a^2*z^2 + 12*a^4*z^2 + 4*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - z^4 - 2*a^2*z^4 + 10*a^4*z^4 + 6*a^6*z^4 - 
   4*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6, 
 Knot[13, Alternating, 1576] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (22*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1577] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1578] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1579] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1580] -> -2/a^12 + 5/a^10 - 3/a^8 - 2/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (7*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + (3*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1581] -> -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 + z^2 + 
   (3*z^2)/a^10 - (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 1582] -> 
  3*a^2 - 5*a^4 + 2*a^6 + 4*a^8 - 3*a^10 + 7*a^2*z^2 - 11*a^4*z^2 + 
   13*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 - 6*a^6*z^4 + 
   10*a^8*z^4 - a^10*z^4 + a^2*z^6 - 6*a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - 
   a^4*z^8 - a^6*z^8, Knot[13, Alternating, 1583] -> 
  1 - 2*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   5*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 
   a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[13, Alternating, 1584] -> 
  2 - 3*a^2 + a^4 + 2*a^6 - a^10 + 3*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 
   2*a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[13, Alternating, 1585] -> 
  -1 + a^(-2) + a^4 + a^8 - a^10 - z^2 + z^2/a^2 - a^2*z^2 + a^6*z^2 + 
   2*a^8*z^2 - z^4 - 2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[13, Alternating, 1586] -> a^2 + a^6 - a^8 + a^2*z^2 - 3*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   4*a^2*z^6 - 13*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 1587] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1588] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1589] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 17*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   8*a^4*z^2 - 25*z^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 1590] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 1591] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^2 - 8*a^2*z^2 + a^4*z^2 + a^6*z^2 + 
   5*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 1592] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   2*z^4 - z^4/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1593] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   11*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (4*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 1594] -> a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1595] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + (5*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1596] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (4*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1597] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1598] -> -1 - 2/a^4 + 4/a^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1599] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1600] -> 
  -10 - a^(-4) + 7/a^2 + 5*a^2 - 36*z^2 - (3*z^2)/a^4 + (21*z^2)/a^2 + 
   14*a^2*z^2 - 45*z^4 - (3*z^4)/a^4 + (23*z^4)/a^2 + 14*a^2*z^4 - 27*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 1601] -> -6 - a^(-4) + 6/a^2 + 2*a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 11*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1602] -> 
  1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + a^4 + 7*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (11*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1603] -> -2*a^2 + 5*a^4 + a^6 - 4*a^8 + a^10 - 
   5*a^2*z^2 + 8*a^4*z^2 + 14*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 4*a^2*z^4 + 
   7*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 1604] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 22*z^2 + 
   (5*z^2)/a^2 + 30*a^2*z^2 - 10*a^4*z^2 - 23*z^4 + (4*z^4)/a^2 + 
   34*a^2*z^4 - 10*a^4*z^4 - 11*z^6 + z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 
   2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1605] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1606] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 + 
   2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 1607] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 + (6*z^2)/a^6 - (20*z^2)/a^4 + 
   (20*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 1608] -> 1 - a^(-8) + 2/a^6 - a^(-2) - 
   a^2 + a^4 + z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - (3*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, Alternating, 1609] -> -1 + 2*a^2 + 3*a^6 - 4*a^8 + a^10 - 2*z^2 + 
   2*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 
   2*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6, Knot[13, Alternating, 1610] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1611] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 9*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 8*z^4 + z^4/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1612] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1613] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 1614] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 + 5*a^8*z^2 + a^10*z^2 - 2*a^12*z^2 + 
   3*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 1615] -> -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (5*z^4)/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1616] -> -2/a^12 + 5/a^10 - 4/a^8 + a^(-4) + a^(-2) - 
   z^2/a^12 + (9*z^2)/a^10 - (8*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (8*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1617] -> 
  1 - a^4 + 3*a^8 - 2*a^10 + 2*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 1618] -> 2 - 3*a^2 + 3*a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 
   3*z^2 - 7*a^2*z^2 + 8*a^4*z^2 - 9*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 
   7*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 1619] -> 
  -1 + a^(-2) + a^2 - a^4 + a^6 + a^8 - a^10 - 2*z^2 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[13, Alternating, 1620] -> a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1621] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 
   6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1622] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 1623] -> 
  a^2 - a^6 + 4*a^8 - 4*a^10 + a^12 + a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 
   10*a^8*z^2 - 4*a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 9*a^6*z^4 + 6*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 1624] -> 
  a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - 4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1625] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1626] -> 1 - a^2 + 2*a^4 - a^6 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1627] -> a^2 + a^6 - a^8 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1628] -> 2 - a^(-2) + a^2 - a^4 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   13*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 1629] -> 
  2*a^2 - a^4 - 2*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1630] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 - 5*z^4 + (7*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (5*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 1631] -> 
  -2 - 3/a^4 + 6/a^2 + z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1632] -> 2 - a^2 - a^4 + a^6 + z^2 + 2*a^2*z^2 - 
   10*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 
   4*z^6 + 13*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 1633] -> a^(-2) - a^4 + a^6 + z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 - a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1634] -> 1 + 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 1635] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1636] -> 
  -5 - 3/a^4 + 8/a^2 + a^4 - 10*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - 9*z^4 - z^4/a^4 + (10*z^4)/a^2 - 8*a^2*z^4 + 
   4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1637] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1638] -> -10 - 4/a^4 + 12/a^2 + 2*a^2 + a^4 - 15*z^2 - 
   (4*z^2)/a^4 + (18*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 11*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1639] -> 
  -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1640] -> -1 - a^(-8) + 2/a^6 + a^4 - 3*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4, Knot[13, Alternating, 1641] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + z^2/a^6 + z^2/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1642] -> 
  1 + 2*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1643] -> -2/a^12 + 5/a^10 - 5/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^12 + (9*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1644] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (3*z^2)/a^10 - (3*z^2)/a^6 + (2*z^2)/a^2 - (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 1645] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + 3*z^2 - 8*a^2*z^2 + 9*a^4*z^2 - 
   8*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + z^4 - 7*a^2*z^4 + 8*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 1646] -> -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1647] -> -1 + a^(-2) + a^2 - a^6 + 2*a^8 - 
   a^10 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 
   a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, Alternating, 1648] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1649] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   3*a^2*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 1650] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - 
   a^6 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 1651] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 1652] -> 
  2 - a^(-6) + a^(-4) - a^2 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1653] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1654] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1655] -> 2*a^2 - a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 1656] -> 
  4 - 2/a^2 - a^4 - 2*z^2 - z^2/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1657] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1658] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1659] -> 
  -1 - 2/a^4 + 4/a^2 - 8*z^2 + z^2/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 - 
   10*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (30*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1660] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 1661] -> 
  7 - 3/a^2 - 3*a^2 + 4*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 1662] -> 7 - 3/a^2 - 3*a^2 + z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 13*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 1663] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2/a^8 + 
   (4*z^2)/a^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^8 + (9*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 1664] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1665] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1666] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1667] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1668] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1669] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 
   4*z^2 - z^2/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1670] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1671] -> 2 - 2*a^2 + a^4 + z^2 + a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 
   13*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 1672] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1673] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1674] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 1675] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - 7*z^2 - z^2/a^2 + 23*a^2*z^2 - 10*a^4*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 32*a^2*z^4 - 10*a^4*z^4 - 9*z^6 + z^6/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1676] -> 6 - 3/a^2 - a^2 - a^4 + 9*z^2 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1677] -> 4 - a^(-4) - 2*a^2 + 2*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 
   13*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[13, Alternating, 1678] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   3*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1679] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1680] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1681] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1682] -> a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1683] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1684] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1685] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - 
   z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1686] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 6*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - z^4/a^4 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1687] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 
   2*z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1688] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1689] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1690] -> 
  3*a^4 - 2*a^6 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1691] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 8*z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1692] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - z^2/a^12 + (7*z^2)/a^10 - 
   (7*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (7*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1693] -> 3 + a^(-4) - 3/a^2 + a^4 - a^6 + 6*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1694] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 2*z^2 + z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1695] -> 1 - 3/a^4 + 5/a^2 - 3*a^2 + a^4 + 3*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1696] -> 
  -a^(-6) + 3/a^2 - 2*a^2 + a^4 - z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 1697] -> 
  -4*a^4 + 17*a^6 - 17*a^8 + 5*a^10 - 12*a^4*z^2 + 46*a^6*z^2 - 37*a^8*z^2 + 
   8*a^10*z^2 - 13*a^4*z^4 + 49*a^6*z^4 - 32*a^8*z^4 + 5*a^10*z^4 - 
   6*a^4*z^6 + 27*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[13, Alternating, 1698] -> 
  1 + a^(-6) - 6/a^4 + 7/a^2 - 2*a^2 + 4*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (17*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 1699] -> -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 
   2*a^10 - 3*a^2*z^2 + 5*a^4*z^2 + 14*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 
   3*a^2*z^4 + 4*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 1700] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1701] -> 3 - 2/a^6 + 5/a^4 - 4/a^2 - 2*a^2 + a^4 + 
   9*z^2 - z^2/a^6 + (8*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   8*z^4 - z^4/a^6 + (5*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1702] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 - (6*z^4)/a^6 + 
   (10*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1703] -> 1 - 2*a^6 + 4*a^8 - 2*a^10 + 2*z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 
   5*a^2*z^4 + 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 1704] -> 
  3 + a^(-4) - 2/a^2 - 4*a^2 + 5*a^4 - 2*a^6 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 11*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   10*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1705] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 1706] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + z^2 - a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 
   4*a^8*z^2 + z^4 - 6*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + z^6 - 3*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1707] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1708] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 
   6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1709] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1710] -> 
  a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1711] -> -1 + 4*a^2 - 2*a^4 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1712] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 1713] -> 
  a^(-2) - a^2 + a^4 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1714] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^4 - z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1715] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 1716] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1717] -> 
  5 + 2/a^4 - 4/a^2 - 3*a^2 + a^6 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[13, Alternating, 1718] -> 
  -2/a^12 + 6/a^10 - 5/a^8 - 2/a^6 + 4/a^4 - (3*z^2)/a^12 + (15*z^2)/a^10 - 
   (15*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (18*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1719] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - a^(-2) + 
   a^2 - z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 1720] -> 3 - a^(-6) + a^(-4) - 3*a^2 + 
   a^4 + 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   7*z^4 - z^4/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1721] -> 
  -2/a^12 + 5/a^10 - 3/a^8 - 2/a^6 + 2/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (8*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1722] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1723] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 1724] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 7*z^2 - (2*z^2)/a^2 - 12*a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, Knot[13, Alternating, 1725] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + 3*z^2 - 9*a^2*z^2 + 11*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 10*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 + 
   z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1726] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1727] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1728] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^6 - (2*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1729] -> 1 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 - 23*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 1730] -> 2 - a^(-2) + a^2 - a^4 - 6*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 8*a^4*z^4 - 
   10*z^6 + z^6/a^2 + 19*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 1731] -> 5 - 2/a^2 - 2*a^2 + 4*z^2 - 
   z^2/a^2 - a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[13, Alternating, 1732] -> 
  a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + 
   (8*z^2)/a^2 - (3*z^4)/a^8 + (17*z^4)/a^6 - (28*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^8 + (10*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 1733] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 - 9*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 1734] -> 1 - 4*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 1735] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (4*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1736] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + a^2*z^2 + a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1737] -> 
  4 + a^(-4) - 3/a^2 - a^2 - z^2 + a^2*z^2 - 11*z^4 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1738] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 - 2*z^4 + 
   z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 8*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 1739] -> 3 - 4*a^2 + 2*a^4 + 10*z^2 - (4*z^2)/a^2 - 
   11*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 11*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1740] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   (7*z^2)/a^8 + (25*z^2)/a^6 - (31*z^2)/a^4 + (11*z^2)/a^2 - (11*z^4)/a^8 + 
   (35*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 1741] -> 3 + a^(-6) - 3/a^2 + 4*z^2 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1742] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   5*a^2*z^2 - 21*z^4 - (8*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 1743] -> 2 - 2*a^2 + a^4 + 5*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[13, Alternating, 1744] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1745] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1746] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1747] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 16*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 - 8*z^4 + 25*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   5*z^6 + 19*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 1748] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 1749] -> 
  3*a^4 - 2*a^6 - 2*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 
   3*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 1750] -> 3 + 2/a^4 - 4/a^2 + 9*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1751] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1752] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 25*z^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 1753] -> 2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1754] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   6*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 25*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1755] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 + a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 1756] -> a^(-4) - a^(-2) + a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1757] -> 
  1 - 3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 1758] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 
   13*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 8*z^4 + 24*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1759] -> 
  -1 + 4*a^2 - 2*a^4 - 13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   24*z^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 1760] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 12*z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 1761] -> 3 - a^(-2) - a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1762] -> 
  1 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[13, Alternating, 1763] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 
   7*z^2 + 27*a^2*z^2 - 30*a^4*z^2 + 10*a^6*z^2 - 5*z^4 + 29*a^2*z^4 - 
   39*a^4*z^4 + 12*a^6*z^4 - z^6 + 13*a^2*z^6 - 25*a^4*z^6 + 6*a^6*z^6 + 
   2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1764] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + 
   (5*z^2)/a^6 - (23*z^2)/a^4 + (34*z^2)/a^2 - 13*z^4 + (4*z^4)/a^6 - 
   (26*z^4)/a^4 + (42*z^4)/a^2 - 6*z^6 + z^6/a^6 - (12*z^6)/a^4 + 
   (26*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1765] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1766] -> 
  4 - a^(-4) - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   5*a^2*z^2 + 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1767] -> 3*a^2 - 3*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1768] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 1769] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1770] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 - 
   9*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1771] -> -a^(-6) + a^(-4) + a^(-2) + 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 1772] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1773] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 5*z^2 + z^2/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - 
   (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1774] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1775] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1776] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1777] -> 2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 
   10*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 
   10*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 1778] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   28*z^2 - (8*z^2)/a^4 + (25*z^2)/a^2 + 8*a^2*z^2 - 30*z^4 - (12*z^4)/a^4 + 
   (37*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1779] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1780] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - (4*z^2)/a^4 + (7*z^2)/a^2 - 9*a^2*z^2 + 
   3*a^4*z^2 + 4*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1781] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1782] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 
   19*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 28*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1783] -> 
  2*a^4 - a^8 - a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 1784] -> 3*a^4 - 2*a^6 + 5*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - z^4 + 3*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 1785] -> 
  1 + 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1786] -> 
  4*a^4 - 4*a^6 + a^8 + 4*z^2 - 10*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1787] -> 3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1788] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1789] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 4*z^2 - z^2/a^2 - 8*a^2*z^2 + 10*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 9*a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1790] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 28*z^2 + 
   (9*z^2)/a^2 + 29*a^2*z^2 - 8*a^4*z^2 - 38*z^4 + (12*z^4)/a^2 + 
   30*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1791] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1792] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1793] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1794] -> 2*a^2 - a^4 - 11*z^2 + (3*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 23*z^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 1795] -> 
  1 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 1796] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 7*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1797] -> 2 - 3*a^2 + 3*a^4 - a^6 + 8*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 9*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1798] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   z^2/a^14 - (7*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^14 - 
   z^4/a^12 + (15*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 1799] -> -a^(-12) + 2/a^6 - (2*z^2)/a^14 + 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1800] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1801] -> 4*a^2 - 5*a^4 + 2*a^6 + 4*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - z^4/a^2 - a^2*z^4 - 
   11*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1802] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 1803] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1804] -> 4 - 2/a^2 - a^4 + 6*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1805] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 - 9*z^4 + (3*z^4)/a^6 - 
   (18*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1806] -> -1 + a^(-2) + a^2 - 15*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   9*a^2*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1807] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1808] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 8*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1809] -> 
  -5 + 2/a^2 + 5*a^2 - a^6 - 12*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1810] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1811] -> -7 + 4/a^2 + 4*a^2 - 15*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, Alternating, 1812] -> 
  a^(-4) - 2*a^2 + 2*a^4 - 2*z^2 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 1813] -> 
  -1 + a^(-2) + a^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1814] -> 4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1815] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1816] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1817] -> 1 + 3*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1818] -> 
  2 + a^(-4) - 2/a^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1819] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 + (6*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 
   28*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 1820] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 7*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1821] -> 
  -2 + a^(-4) + 2*a^2 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 
   21*z^4 - (8*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1822] -> -1 + a^(-4) + a^4 - 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1823] -> -a^(-6) + a^(-4) + a^(-2) - 
   2*z^2 - z^2/a^4 + (5*z^2)/a^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1824] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 
   5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1825] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1826] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + 
   (6*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - 
   (26*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 1827] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1828] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[13, Alternating, 1829] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 16*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1830] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   13*z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1831] -> -1 + a^(-2) + a^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1832] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 
   4*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1833] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1834] -> 1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + 
   (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 1835] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1836] -> 
  1 - 2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 15*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1837] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1838] -> 1 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1839] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1840] -> 
  -2/a^6 + 3/a^4 + z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1841] -> 4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1842] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1843] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1844] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1845] -> 
  2 - a^(-6) + a^(-4) - a^2 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1846] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1847] -> a^2 + a^4 - a^6 - z^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 1848] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 6*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1849] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 1850] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^6 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 1851] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1852] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + 
   z^2/a^6 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1853] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + z^4/a^6 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1854] -> 
  3 - 3*a^2 + a^6 + 6*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 1855] -> 
  3 - a^(-2) - a^2 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1856] -> 1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1857] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1858] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + 
   z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 1859] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1860] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1861] -> 4 + a^(-4) - 3/a^2 - a^2 + 10*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 1862] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1863] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 30*z^2 - 
   (5*z^2)/a^4 + (23*z^2)/a^2 + 11*a^2*z^2 - 41*z^4 - (4*z^4)/a^4 + 
   (26*z^4)/a^2 + 13*a^2*z^4 - 26*z^6 - z^6/a^4 + (12*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 1864] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (4*z^2)/a^10 - (22*z^2)/a^8 + 
   (34*z^2)/a^6 - (9*z^2)/a^4 + (4*z^4)/a^10 - (25*z^4)/a^8 + (43*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 1865] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1866] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   9*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 1867] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (6*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1868] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (8*z^2)/a^4 - z^4 - (2*z^4)/a^8 + (5*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1869] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 9*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1870] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 11*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 - 8*z^4 + 23*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   5*z^6 + 19*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 1871] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   6*z^2 + (10*z^2)/a^6 - (28*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 + 
   (12*z^4)/a^6 - (39*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[13, Alternating, 1872] -> 2/a^6 - 5/a^4 + 4/a^2 + 4*z^2 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1873] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 5*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1874] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + 27*a^2*z^2 - 25*a^4*z^2 + 7*a^6*z^2 - 
   12*z^4 + 38*a^2*z^4 - 29*a^4*z^4 + 5*a^6*z^4 - 6*z^6 + 25*a^2*z^6 - 
   13*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1875] -> 4*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1876] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1877] -> -2 + 2/a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1878] -> 2 + a^(-6) - a^(-4) - a^(-2) - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1879] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 + 
   7*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 8*a^2*z^4 + 
   3*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 5*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 1880] -> 
  1 + a^2 - a^4 - a^6 + a^8 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[13, Alternating, 1881] -> -a^(-4) + 2/a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1882] -> 
  2 + a^(-4) - 2/a^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1883] -> 2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1884] -> 1 - z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^4 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1885] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 20*z^2 + 
   (6*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 28*z^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1886] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 9*a^2*z^2 - 24*a^4*z^2 + 28*a^6*z^2 - 
   8*a^8*z^2 + 12*a^2*z^4 - 37*a^4*z^4 + 30*a^6*z^4 - 5*a^8*z^4 + 6*a^2*z^6 - 
   25*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 1887] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 
   7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1888] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 4*z^2 - 7*a^2*z^2 + a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 9*a^2*z^4 - 4*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + z^6 - 5*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1889] -> 1 - 2*a^2 + 3*a^4 - a^8 + z^2 + z^2/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 1890] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1891] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^6 + (7*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 1892] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   z^2/a^14 - (3*z^2)/a^12 + (3*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^14 + (7*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1893] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - (7*z^2)/a^12 + (4*z^2)/a^10 + 
   (12*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (2*z^4)/a^12 + (9*z^4)/a^10 + 
   (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 1894] -> 4 - a^(-4) - 2*a^2 + 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1895] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 1896] -> a^2 + a^4 - a^6 - 3*z^2 + 
   (2*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[13, Alternating, 1897] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 + z^2 - z^2/a^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1898] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1899] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^2 - 4*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1900] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 10*z^2 - (4*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 11*z^4 + z^4/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 1901] -> 
  5*a^6 - 5*a^8 + a^10 - 2*a^2*z^2 + 3*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6, Knot[13, Alternating, 1902] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1903] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1904] -> -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 1905] -> 
  1 + 2*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 1906] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1907] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 
   5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1908] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1909] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 1910] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 1911] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - z^2/a^14 - (6*z^2)/a^12 + 
   (5*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - z^4/a^14 - z^4/a^12 + 
   (10*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1912] -> 
  -3/a^10 + 3/a^8 + a^(-6) - z^2/a^14 - (2*z^2)/a^12 + (9*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^14 + (6*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 1913] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 - a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1914] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1915] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1916] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   20*z^2 - (7*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + 
   (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1917] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1918] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1919] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (6*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, Alternating, 1920] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^12 + 
   z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^2 + (2*z^4)/a^10 + z^4/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1921] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, Alternating, 1922] -> 2 - a^(-6) + a^(-4) - a^2 + 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 1923] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + (17*z^4)/a^6 - 
   (27*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 1924] -> 1 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 1925] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + 
   a^4 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 1926] -> 
  1 + a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1927] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 11*z^2 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1928] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 - 2*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 1929] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^12 + (4*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[13, Alternating, 1930] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^12 + z^2/a^10 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 + 
   z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[13, Alternating, 1931] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   7*z^2 + z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 1932] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + z^2 - z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 1933] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 12*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 1934] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 1935] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1936] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 1937] -> 3 - a^(-2) - a^2 + 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 1938] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 7*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1939] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1940] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   z^2/a^14 - (10*z^2)/a^12 + (14*z^2)/a^10 + (9*z^2)/a^8 - (3*z^4)/a^14 - 
   (2*z^4)/a^12 + (20*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 1941] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   z^2/a^14 - (5*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + (8*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1942] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - (2*z^2)/a^14 - z^2/a^12 + 
   (4*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 1943] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - z^2/a^14 - z^2/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 1944] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 1945] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 6*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 1946] -> 
  2 - a^2 - a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 1947] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1948] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^12 + 
   (5*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1949] -> 3 - a^(-2) - a^2 + 7*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 1950] -> 1 - 2/a^8 + a^(-6) + 4/a^4 - 3/a^2 + 
   3*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1951] -> 1 - a^(-10) + 2/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, Alternating, 1952] -> 1 - 2/a^8 + a^(-6) + 4/a^4 - 3/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1953] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 14*z^2 + 
   (5*z^2)/a^6 - (25*z^2)/a^4 + (39*z^2)/a^2 - 14*z^4 + (4*z^4)/a^6 - 
   (27*z^4)/a^4 + (46*z^4)/a^2 - 6*z^6 + z^6/a^6 - (12*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 1954] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1955] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 9*z^2 + z^2/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 9*a^4*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1956] -> 4 - 2/a^2 - a^4 + 6*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1957] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 
   31*z^2 + (10*z^2)/a^2 + 33*a^2*z^2 - 9*a^4*z^2 - 41*z^4 + (13*z^4)/a^2 + 
   32*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1958] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1959] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 22*z^2 + 
   (7*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1960] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + 21*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 
   9*z^4 + 29*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1961] -> 1 + a^2 - 2*a^4 + a^6 + 5*z^2 - (3*z^2)/a^2 + 
   a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 1962] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 
   a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 1963] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1964] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + 
   (7*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1965] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 + (3*z^2)/a^2 - a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 1966] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - (25*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 1967] -> 
  3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1968] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1969] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   3*a^2*z^2 + 3*a^4*z^2 + 16*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 1970] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 
   9*a^4*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 1971] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 10*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (28*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + (33*z^4)/a^2 - 
   5*z^6 + z^6/a^6 - (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 1972] -> 
  -1 + 7*a^2 - 8*a^4 + 3*a^6 - 10*z^2 + 30*a^2*z^2 - 29*a^4*z^2 + 8*a^6*z^2 - 
   13*z^4 + 41*a^2*z^4 - 31*a^4*z^4 + 5*a^6*z^4 - 6*z^6 + 26*a^2*z^6 - 
   13*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 1973] -> -1 - 2/a^4 + 4/a^2 + 4*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1974] -> 
  4*a^2 - 4*a^4 + a^8 - 4*z^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 
   3*a^8*z^2 - 4*z^4 + 9*a^2*z^4 + 3*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 
   5*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 1975] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + (2*z^4)/a^2 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[13, Alternating, 1976] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 1977] -> a^(-2) - a^6 + a^8 - z^2/a^4 - a^4*z^2 - 
   2*a^6*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[13, Alternating, 1978] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 1979] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 
   3*z^2 + (6*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - 
   (26*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 1980] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1981] -> 
  1 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (5*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 1982] -> 
  1 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 1983] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   3*z^2 - 7*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 1984] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 1985] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 8*a^2*z^2 - 
   19*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 + 9*a^2*z^4 - 29*a^4*z^4 + 
   22*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 1986] -> 1 - 2*a^2 + 3*a^4 - a^8 + 4*z^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 8*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 1987] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 1988] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - (2*z^2)/a^6 + (2*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^8 + z^6/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 1989] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 1990] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 1991] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 1992] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + z^2/a^2 + 
   a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 1993] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 1994] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 4*a^4*z^2 + a^8*z^2 + z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 1995] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 1996] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[13, Alternating, 1997] -> 
  a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (10*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (15*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 1998] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 1999] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2000] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2001] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   z^4/a^4 + (11*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, Alternating, 2002] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 2003] -> 
  -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 7*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - (4*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2004] -> a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2005] -> -1 + 2/a^2 - a^2 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 2006] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2007] -> -1 + a^(-2) + a^2 + z^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 2008] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - 4*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 + 
   4*a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 + z^6 - 4*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2009] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - z^2/a^14 - (5*z^2)/a^12 + 
   (8*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^14 + (9*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 2010] -> -a^(-12) + a^(-8) + a^(-4) - 
   z^2/a^14 - z^2/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 2011] -> -a^(-4) + 2/a^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[13, Alternating, 2012] -> 
  1 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 2013] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2014] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 - z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, Alternating, 2015] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 5*z^2 - (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 2016] -> 
  a^(-4) - a^2 + a^6 - z^2/a^6 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + z^4/a^4 + (3*z^4)/a^2 + a^2*z^4, Knot[13, Alternating, 2017] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 10*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2018] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2019] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 2020] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2021] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2022] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[13, Alternating, 2023] -> 
  3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 4*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2024] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2025] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2026] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2027] -> 2 - a^(-6) + a^(-4) - a^2 + 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 2028] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2029] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 2030] -> 
  4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 4*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (3*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - 
   (8*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2031] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 2032] -> 
  3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2033] -> 
  a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 2034] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2035] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (15*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 2036] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - (3*z^2)/a^12 + (14*z^2)/a^10 - 
   (15*z^2)/a^8 + (7*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - (20*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 2037] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (4*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2038] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (19*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2039] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 23*z^2 + 
   (6*z^2)/a^2 + 29*a^2*z^2 - 10*a^4*z^2 - 28*z^4 + (5*z^4)/a^2 + 
   39*a^2*z^4 - 12*a^4*z^4 - 13*z^6 + z^6/a^2 + 25*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 2040] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + z^4 + z^4/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2041] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 2042] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 26*a^2*z^2 - 26*a^4*z^2 + 9*a^6*z^2 - 
   5*z^4 + 29*a^2*z^4 - 38*a^4*z^4 + 12*a^6*z^4 - z^6 + 13*a^2*z^6 - 
   25*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2043] -> -3 + 8*a^2 - 4*a^4 - 20*z^2 + (4*z^2)/a^2 + 
   32*a^2*z^2 - 12*a^4*z^2 - 25*z^4 + (4*z^4)/a^2 + 42*a^2*z^4 - 13*a^4*z^4 - 
   12*z^6 + z^6/a^2 + 26*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 2044] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   29*z^2 - (5*z^2)/a^4 + (23*z^2)/a^2 + 11*a^2*z^2 - 41*z^4 - (4*z^4)/a^4 + 
   (26*z^4)/a^2 + 13*a^2*z^4 - 26*z^6 - z^6/a^4 + (12*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 2045] -> 
  -3 - 4/a^4 + 8/a^2 - 12*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + (32*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + (42*z^4)/a^2 - 6*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (26*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2046] -> -2 - 3/a^4 + 6/a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 2047] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 8*z^2 - (3*z^2)/a^2 - 8*a^4*z^2 + 
   4*a^6*z^2 + 8*z^4 - z^4/a^2 - 4*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2048] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 2049] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 9*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 - z^4/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2050] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, Alternating, 2051] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^2 - a^2*z^2 + 
   z^4 - (2*z^4)/a^6 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 2052] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + 
   a^4*z^2 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2053] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 19*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2054] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 15*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 - 
   8*z^4 + 25*a^2*z^4 - 25*a^4*z^4 + 5*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2055] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2056] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 15*a^6*z^2 - 17*a^8*z^2 + 6*a^10*z^2 - 
   6*a^4*z^4 + 23*a^6*z^4 - 23*a^8*z^4 + 5*a^10*z^4 - 5*a^4*z^6 + 
   18*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[13, Alternating, 2057] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 
   4*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2058] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 + z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2059] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2060] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 2061] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (16*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2062] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2063] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 5*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (19*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2064] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^12 + (11*z^2)/a^10 - (11*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 2065] -> -1 + 5*a^2 - 4*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2066] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2067] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (6*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2068] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 2069] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 4*z^2 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (12*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2070] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2071] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2072] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + 4*a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 + 
   4*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - 
   a^8*z^8, Knot[13, Alternating, 2073] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   2*z^2 - 3*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 
   6*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 2074] -> 
  a^4 + a^8 - a^12 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + a^2*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 
   2*a^6*z^6 - a^8*z^6, Knot[13, Alternating, 2075] -> 
  2 - 3*a^4 + 2*a^6 + 6*z^2 - (3*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 
   7*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 2076] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - z^2/a^14 - (7*z^2)/a^12 + 
   (9*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 - z^4/a^12 + 
   (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2077] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^14 - (17*z^2)/a^12 + 
   (20*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^14 - (9*z^4)/a^12 + 
   (29*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + z^6/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 2078] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 21*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 2079] -> 
  -4 + 10*a^2 - 5*a^4 - 18*z^2 + (2*z^2)/a^2 + 35*a^2*z^2 - 14*a^4*z^2 - 
   22*z^4 + (3*z^4)/a^2 + 45*a^2*z^4 - 14*a^4*z^4 - 11*z^6 + z^6/a^2 + 
   27*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2080] -> 1 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2081] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 2082] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^6 + 
   z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 2083] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 21*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 11*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - a^2*z^8, Knot[13, Alternating, 2084] -> 
  -4 + 3/a^2 + a^2 + a^4 - 10*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[13, Alternating, 2085] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 
   4*z^4 - z^4/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2086] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (19*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 2087] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 
   7*z^2 + (3*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2088] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 6*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 2089] -> 1 + 3*a^2 - 6*a^4 + 3*a^6 - 3*z^2 + 
   14*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - 8*z^4 + 24*a^2*z^4 - 26*a^4*z^4 + 
   5*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 2090] -> 
  3 - 2*a^2 - 2*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2091] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   6*a^4*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2092] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2093] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2094] -> 
  1 - 2*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 16*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 2095] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 
   7*a^4*z^2 - 26*z^4 + (8*z^4)/a^2 + 25*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2096] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2097] -> 
  3 - 2/a^4 + 3/a^2 - 5*a^2 + 2*a^4 + z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   11*a^2*z^2 + 5*a^4*z^2 - 4*z^4 - z^4/a^4 + (8*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2098] -> a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2099] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   5*z^2 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 + (2*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 2100] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   (2*z^4)/a^8 + (5*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2101] -> a^(-8) - 4/a^6 + 4/a^4 + z^2 - (5*z^2)/a^6 + 
   (11*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2102] -> -a^(-8) + 2/a^4 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2103] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2104] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2105] -> a^(-8) - 4/a^6 + 4/a^4 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2106] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2107] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 2108] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 2109] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6 + z^6/a^2 + a^2*z^6, Knot[13, Alternating, 2110] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 12*a^2*z^2 - 
   6*a^4*z^2 + 6*z^4 + z^4/a^4 - (7*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 
   4*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2111] -> -4 - 2/a^4 + 6/a^2 + a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2112] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (10*z^2)/a^4 - (6*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (9*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, Alternating, 2113] -> 2 + a^(-4) - 2/a^2 - z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 2114] -> 
  4 - 2/a^2 - a^4 + 8*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[13, Alternating, 2115] -> -2 - a^(-6) + 2/a^4 + a^(-2) + 
   a^4 - 7*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   6*z^4 + (2*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[13, Alternating, 2116] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + 
   z^4 - 6*a^2*z^4 + 8*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 2117] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (13*z^2)/a^4 + 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 2118] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - (3*z^2)/a^12 + (12*z^2)/a^10 - 
   (14*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (17*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2119] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2120] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^12 + (3*z^2)/a^10 + z^2/a^8 + 
   (4*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - z^4/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2121] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^12 + z^2/a^10 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 + z^4/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2122] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + z^2 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2123] -> 
  3 - 3*a^2 + a^6 + 6*z^2 - (2*z^2)/a^4 - 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   6*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 2124] -> a^4 - a^6 + 2*a^8 + a^10 - 2*a^12 + 
   4*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 
   4*a^6*z^4 + 7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 
   2*a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, Alternating, 2125] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   5*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 - 3*a^6*z^4 + a^8*z^4 + 
   2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2126] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 2*z^2 - 
   4*a^2*z^2 + 9*a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + z^4 - 
   6*a^2*z^4 + 8*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 2127] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - 2*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 2128] -> a^(-14) - 5/a^12 + 3/a^10 + 
   2/a^8 - z^2/a^14 - (8*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 - z^4/a^12 + (13*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 2129] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   z^2/a^14 - (4*z^2)/a^12 + (5*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + z^4/a^12 + (5*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 2130] -> -a^(-8) + 2/a^4 + z^2/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2131] -> 
  -1 + a^(-2) + a^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 2132] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2133] -> 
  2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 2134] -> -3 + 2/a^2 - a^2 + 6*a^4 - 3*a^6 - 
   9*z^2 + (5*z^2)/a^2 - 4*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2135] -> 
  2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - (12*z^2)/a^12 + (8*z^2)/a^10 + 
   (12*z^2)/a^8 - (2*z^4)/a^14 - (5*z^4)/a^12 + (16*z^4)/a^10 + 
   (13*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 2136] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - z^2/a^14 - (3*z^2)/a^12 + 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (5*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2137] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 2138] -> 6*a^6 - 7*a^8 + 2*a^10 - 
   2*a^2*z^2 + 2*a^4*z^2 + 15*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   9*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 2139] -> 2*a^4 + a^6 - 3*a^8 + a^10 - z^2 + a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 2140] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 3*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2141] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 3*z^2 - z^2/a^6 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[13, Alternating, 2142] -> -4 + 10*a^2 - 5*a^4 - 22*z^2 + 
   (4*z^2)/a^2 + 37*a^2*z^2 - 14*a^4*z^2 - 26*z^4 + (4*z^4)/a^2 + 
   46*a^2*z^4 - 14*a^4*z^4 - 12*z^6 + z^6/a^2 + 27*a^2*z^6 - 6*a^4*z^6 - 
   2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 2143] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 + (7*z^4)/a^4 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2144] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 2145] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2 - z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4, Knot[13, Alternating, 2146] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - z^2 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 - 2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2147] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + 3*a^2*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[13, Alternating, 2148] -> 
  3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + (2*z^2)/a^14 - (22*z^2)/a^12 + 
   (26*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^14 - (11*z^4)/a^12 + 
   (33*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + z^6/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 2149] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 - 
   (9*z^2)/a^12 + (7*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - z^4/a^14 - 
   (2*z^4)/a^12 + (10*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2150] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^8 + (17*z^4)/a^6 - (28*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 2151] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2152] -> -5 - 6/a^4 + 12/a^2 - 15*z^2 + (2*z^2)/a^6 - 
   (19*z^2)/a^4 + (38*z^2)/a^2 - 14*z^4 + (3*z^4)/a^6 - (22*z^4)/a^4 + 
   (46*z^4)/a^2 - 6*z^6 + z^6/a^6 - (11*z^6)/a^4 + (27*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2153] -> 
  -1 - 4/a^4 + 7/a^2 - a^2 + 3*z^2 + z^2/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 
   4*a^2*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2154] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (15*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + 
   (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 2155] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2156] -> 1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2157] -> 
  a^4 + 5*a^6 - 8*a^8 + 3*a^10 + 16*a^6*z^2 - 21*a^8*z^2 + 7*a^10*z^2 - 
   6*a^4*z^4 + 23*a^6*z^4 - 24*a^8*z^4 + 5*a^10*z^4 - 5*a^4*z^6 + 
   18*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[13, Alternating, 2158] -> 3*a^4 - 4*a^8 + 2*a^10 + 
   4*a^4*z^2 + 2*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2159] -> 
  5*a^4 - 5*a^6 + a^10 - 2*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 - 3*a^8*z^2 + 
   2*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 2160] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 + (3*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2161] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2162] -> 
  4 + 2/a^6 - 3/a^4 - a^(-2) - a^2 + 6*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2163] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (2*z^6)/a^2, Knot[13, Alternating, 2164] -> 
  -a^(-8) + 2/a^4 - z^2/a^12 + (2*z^2)/a^10 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^10 - z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2165] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 27*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2166] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[13, Alternating, 2167] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 2168] -> -a^(-6) + a^(-4) + a^(-2) - 
   z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[13, Alternating, 2169] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[13, Alternating, 2170] -> 
  -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 2171] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2172] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2173] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[13, Alternating, 2174] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 
   2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 16*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 2175] -> 
  a^4 + 5*a^6 - 8*a^8 + 3*a^10 - 2*a^4*z^2 + 20*a^6*z^2 - 23*a^8*z^2 + 
   7*a^10*z^2 - 7*a^4*z^4 + 27*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 - 
   5*a^4*z^6 + 19*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[13, Alternating, 2176] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - 2*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 
   6*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 2177] -> 1 + 3*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2178] -> 
  -1 + a^(-4) + a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - z^4/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2179] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2180] -> 1 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2181] -> 2 + 2/a^6 - 3/a^4 + 5*z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2182] -> 
  3*a^4 - 4*a^8 + 2*a^10 - 2*a^2*z^2 + 8*a^4*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 
   3*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 2183] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - z^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 2184] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2185] -> 
  a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - z^2/a^14 - (4*z^2)/a^12 + 
   (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 2186] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[13, Alternating, 2187] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) - z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 
   z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 2188] -> 
  -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 2189] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[13, Alternating, 2190] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 2191] -> 
  1 + 2/a^4 - 2/a^2 - a^2 + a^6 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   3*a^4*z^2 + z^4 + (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 2192] -> 2*a^2 - a^6 - a^8 + a^10 - z^2 + 3*a^2*z^2 - 
   a^4*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[13, Alternating, 2193] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 24*z^2 + (7*z^2)/a^2 + 27*a^2*z^2 - 
   8*a^4*z^2 - 30*z^4 + (9*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2194] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   10*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2195] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 5*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2196] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2197] -> -a^(-8) + 2/a^4 - (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^12 + (9*z^4)/a^10 - 
   (10*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2198] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^12 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2199] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 2200] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2201] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 
   17*a^4*z^2 + 22*a^6*z^2 - 7*a^8*z^2 + 8*a^2*z^4 - 26*a^4*z^4 + 
   25*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2202] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   4*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2203] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2204] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2205] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2206] -> 
  -a^(-12) + a^(-10) + a^(-2) - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2207] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - a^2*z^2 - 
   a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2208] -> -4 + 2/a^2 + 2*a^2 + 3*a^4 - 
   2*a^6 - 8*z^2 + (3*z^2)/a^2 + a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2209] -> 
  -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + 
   z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2210] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 2211] -> 1 - a^(-6) + 2/a^2 - a^2 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 2212] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2213] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2214] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2215] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 + a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2216] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - 
   (8*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - 
   (2*z^4)/a^12 + (11*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2217] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 7*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2218] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2219] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 2220] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 + 3*z^2 - 8*a^2*z^2 + 8*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2221] -> -4 + 3/a^2 + a^2 + a^4 - 6*z^2 - z^2/a^6 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 2222] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 2223] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2224] -> 
  1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 - z^2 - z^2/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, Alternating, 2225] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2226] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2227] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - (3*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 8*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2228] -> -1 - a^(-8) + 4/a^6 - 3/a^4 + 2*a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2229] -> a^(-6) - a^(-2) + a^4 - 2*z^2 - z^2/a^8 - 
   z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[13, Alternating, 2230] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2231] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2232] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 2233] -> -2 + a^(-2) + 3*a^2 - a^4 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 2234] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 + 2*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 2235] -> 2 - a^(-6) + a^(-4) - a^2 + 
   5*z^2 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2236] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + 2*a^2*z^4 - a^4*z^4 + 
   2*z^6 + z^6/a^2 + a^2*z^6, Knot[13, Alternating, 2237] -> 
  2*a^4 - a^8 + 5*a^4*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2238] -> 
  1 + 2*a^2 - 3*a^4 + a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 2239] -> 
  1 + 3*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2240] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2241] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 2242] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - 
   (2*z^2)/a^4 - 6*a^2*z^2 + a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2243] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   2/a^6 + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2244] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^12 + 
   z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^2 + (2*z^4)/a^10 + z^4/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2245] -> 2 - 2*a^2 + 2*a^6 - a^8 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + a^2*z^6, Knot[13, Alternating, 2246] -> 
  -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 2*a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2247] -> 2/a^4 - 2/a^2 + a^4 - 2*z^2 - z^2/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2, Knot[13, Alternating, 2248] -> 
  3 + 2/a^4 - 4/a^2 + 6*z^2 + z^2/a^6 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2249] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 2250] -> 
  2*a^4 - a^6 + a^8 - a^10 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 
   2*z^4 - a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2251] -> 3*a^4 - 2*a^6 + a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^10*z^2 - z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 2252] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 8*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + 3*z^4 - z^4/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2253] -> 
  2 - 2*a^4 + a^8 + z^2 - z^2/a^2 + a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 2254] -> 
  -1 + a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 2255] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2256] -> 
  2/a^14 - 7/a^12 + 5/a^10 + a^(-6) - (10*z^2)/a^12 + (12*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - (2*z^4)/a^12 + (12*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 2257] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 8*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 2258] -> 
  -3 + 8*a^2 - 4*a^4 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 16*a^2*z^2 - 
   7*a^4*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2259] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2260] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2261] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - 
   z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, Alternating, 2262] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2263] -> 
  1 + 3*a^2 - 5*a^4 + a^6 + a^8 - z^2 + 5*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 - 3*z^4 + 5*a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 
   4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 2264] -> 3 - 2*a^2 - a^4 + a^8 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2265] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2266] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2267] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 + z^2/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2268] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - (3*z^2)/a^12 + (13*z^2)/a^10 - 
   (12*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (17*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2269] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2270] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 4*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (21*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 2271] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 2272] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^2 - 5*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 2273] -> 2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[13, Alternating, 2274] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + 3*a^4*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2275] -> 
  -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 2*z^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2276] -> 2*a^2 - a^4 - 2*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2277] -> 5 - 2/a^2 - 2*a^2 + 11*z^2 - (4*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^4 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2278] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (7*z^2)/a^8 + (25*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - (5*z^4)/a^8 + 
   (29*z^4)/a^6 - (38*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - 
   (25*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 2279] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 
   3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2280] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[13, Alternating, 2281] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 2282] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2283] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2284] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 - z^2 + a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 
   3*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 2285] -> 2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + 
   13*a^6*z^2 - 18*a^8*z^2 + 27*a^10*z^2 - 10*a^12*z^2 + 16*a^6*z^4 - 
   30*a^8*z^4 + 32*a^10*z^4 - 6*a^12*z^4 + 7*a^6*z^6 - 23*a^8*z^6 + 
   14*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[13, Alternating, 2286] -> 2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + 4*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + 11*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 
   4*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 
   2*a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, Alternating, 2287] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + 4*a^4*z^2 + a^6*z^2 + a^8*z^2 + 
   7*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - 
   a^8*z^8, Knot[13, Alternating, 2288] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 
   5*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   6*z^4 - z^4/a^2 - 8*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2289] -> 
  a^4 - a^6 + a^8 + 3*a^10 - 3*a^12 + 6*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 
   10*a^10*z^2 - 4*a^12*z^2 + 5*a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + 
   9*a^10*z^4 - a^12*z^4 + a^4*z^6 - 5*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 2290] -> 
  a^4 - a^6 + 2*a^8 + a^10 - 2*a^12 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 
   2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2291] -> a^4 - a^6 + 3*a^8 - a^10 - a^12 + 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   a^8*z^6, Knot[13, Alternating, 2292] -> 4*a^6 - 3*a^8 + 3*a^2*z^2 - 
   9*a^4*z^2 + 19*a^6*z^2 - 7*a^8*z^2 + 7*a^2*z^4 - 21*a^4*z^4 + 24*a^6*z^4 - 
   5*a^8*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 2293] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 - a^2*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2294] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (22*z^4)/a^6 - (28*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 2295] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (7*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2296] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2297] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2298] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 7*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 - 2*a^8*z^4 + 
   7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 2299] -> 
  -a^4 + 6*a^6 - 4*a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 23*a^6*z^2 - 8*a^8*z^2 + 
   8*a^2*z^4 - 24*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2300] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 2*z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 
   a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2301] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 2302] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2303] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - a^4*z^2 + 
   17*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 18*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 2304] -> 
  5*a^6 - 5*a^8 + a^10 - a^2*z^2 + 2*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6, Knot[13, Alternating, 2305] -> 
  4 - a^(-8) + 2/a^6 + 2/a^4 - 6/a^2 + 4*z^2 - (3*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + 
   (6*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2306] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 2307] -> 5*a^2 - 7*a^4 + 3*a^6 + 2*z^2 - z^2/a^2 + 
   5*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - z^4/a^2 - 10*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2308] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2309] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (16*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (12*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2310] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - 
   z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2311] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2312] -> -2 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + 
   2*a^2 - 5*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[13, Alternating, 2313] -> 
  -1 + a^(-4) + a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - z^4/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2314] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[13, Alternating, 2315] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (4*z^4)/a^2 - (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 2316] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 + 
   a^2*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 2317] -> 
  3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 2*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - 
   a^4*z^6 - a^6*z^6 - a^8*z^6, Knot[13, Alternating, 2318] -> 
  1 + a^4 - 2*a^6 + a^8 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 + (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, Alternating, 2319] -> a^4 + a^8 - a^12 + z^2 + a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4, Knot[13, Alternating, 2320] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 2321] -> 5 - 2/a^2 - 2*a^2 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 2322] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (5*z^2)/a^8 + (16*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^8 + (21*z^4)/a^6 - (24*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 2323] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2324] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2325] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 
   2*a^12*z^2 + 3*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 2326] -> -2*a^4 + 8*a^6 - 5*a^8 + 3*a^2*z^2 - 
   10*a^4*z^2 + 23*a^6*z^2 - 8*a^8*z^2 + 7*a^2*z^4 - 21*a^4*z^4 + 
   25*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2327] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 + z^2 - 
   a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2328] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 + 2*z^2 - 6*a^2*z^2 + 10*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 7*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2329] -> 1 + 2*z^2 - (2*z^2)/a^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + z^4 + z^4/a^2 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2330] -> 
  -1 - 2/a^4 + 4/a^2 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2331] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 7*a^4*z^2 - 
   6*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 - 
   3*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2332] -> 
  a^(-4) - 2*a^2 + 2*a^4 - z^2 - z^2/a^4 + z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2333] -> 
  2/a^14 - 5/a^12 + 4/a^8 - (9*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 - (2*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 2334] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + z^4/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 2335] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2336] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2337] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2338] -> 1 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - 
   4*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2339] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 - 
   (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2340] -> a^(-2) - a^2 + a^4 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2341] -> 
  a^2 + a^6 - a^8 + a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + z^4 - 
   a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2342] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 - (11*z^2)/a^12 + (11*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (3*z^4)/a^12 + (14*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 2343] -> 2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 
   5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2344] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 2*z^2 - 8*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 
   2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2345] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 2346] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 5*a^4*z^2 - 
   a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 2347] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 
   a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^10*z^2 - z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 2348] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + 3*z^2 - z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 2349] -> -1 + 3*a^2 - a^6 - 2*z^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2350] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^4 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 2351] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2352] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + 
   z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2353] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 + z^2/a^8 - (7*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, Alternating, 2354] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 2355] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, Alternating, 2356] -> 
  1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 - z^2 + 7*a^4*z^2 - 10*a^6*z^2 + 
   3*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 6*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 2357] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 2358] -> 
  2*a^6 - a^12 + 2*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 5*a^10*z^2 - 3*a^12*z^2 + 
   3*a^4*z^4 - a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 2359] -> 3*a^6 - 2*a^8 + a^10 - a^12 + a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2360] -> a^4 - a^6 + 4*a^8 - 3*a^10 + a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 9*a^8*z^2 - a^10*z^2 - a^12*z^2 + a^2*z^4 + 
   a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[13, Alternating, 2361] -> -a^2 + 4*a^4 - a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 + 
   5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2362] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   a^(-4) + a^(-2) + z^2 + (4*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^2 - (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 2363] -> 1 - a^(-8) + 2/a^6 - a^(-4) + (2*z^2)/a^6 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 2364] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 2365] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^2*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 
   3*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*a^10*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6, Knot[13, Alternating, 2366] -> 
  -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - a^4*z^4 + 2*a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[13, Alternating, 2367] -> 
  -2 + a^(-4) + a^(-2) + a^6 - 4*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[13, Alternating, 2368] -> 
  1 - z^2/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^4 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 2369] -> 
  2 - a^2 - a^4 + a^6 + z^2 - a^2*z^2 - 3*a^4*z^2 + a^8*z^2 - z^4/a^2 + 
   a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2370] -> 3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^2 - 
   a^4*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[13, Alternating, 2371] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   8*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 8*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 2372] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 - 2*a^4*z^4 - 
   2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[13, Alternating, 2373] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (10*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2374] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^4*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2375] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (10*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - 
   (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2376] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (3*z^2)/a^10 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2377] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2378] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 - z^2/a^10 + (5*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 2379] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2/a^12 + (2*z^2)/a^10 + 
   (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2380] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, Alternating, 2381] -> 4 + 2/a^6 - 3/a^4 - a^(-2) - a^2 + 8*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2382] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2383] -> 
  -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[13, Alternating, 2384] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2385] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2386] -> 
  1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2387] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2388] -> -3/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - 
   (4*z^4)/a^8 + (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2389] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - z^4 + 
   3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + 8*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2390] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (25*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (31*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 2391] -> -a^(-8) - a^(-6) + 4/a^4 - 
   a^(-2) + (2*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2392] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2393] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 21*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - 29*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2394] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 2395] -> 
  2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 + 8*a^2*z^2 - 22*a^4*z^2 + 28*a^6*z^2 - 
   8*a^8*z^2 + 9*a^2*z^4 - 30*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 
   20*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 2396] -> 1 - 2*a^2 + a^4 + 4*a^6 - 3*a^8 + 
   4*z^2 - 7*a^2*z^2 + a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 8*a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2397] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 
   16*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2398] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 2399] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (6*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2400] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 
   11*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2401] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 17*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 2402] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^8 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2403] -> -2/a^6 + 3/a^4 + z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 2404] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 + 
   (4*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2405] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, Alternating, 2406] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2407] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 22*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   8*a^2*z^2 - 32*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2408] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 2409] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 2*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + 
   z^4 - 5*a^2*z^4 + 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 2410] -> 
  1 - a^2 + a^4 + a^8 - a^10 + z^2 + z^2/a^2 - 2*a^2*z^2 + 3*a^8*z^2 - 
   2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2411] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2412] -> 2*a^6 - a^12 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   2*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2413] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2/a^2 - 
   a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - 5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 2414] -> -a^(-4) + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2415] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2416] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 22*z^2 - 
   z^2/a^4 + (12*z^2)/a^2 + 9*a^2*z^2 - 31*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 
   10*a^2*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 2417] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 2418] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   5*a^2*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 2419] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   5*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2420] -> -a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2421] -> 4*a^6 - 3*a^8 + a^2*z^2 - 
   3*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 2422] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 3*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2423] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + (2*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + (5*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 2424] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 5*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 
   12*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2425] -> 3 - 3*a^2 + a^6 + 4*z^2 - z^2/a^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 2426] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 
   7*z^2 - z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   z^4/a^6 + z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2427] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + z^2 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 2428] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, Alternating, 2429] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   6*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 2430] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 2431] -> 
  1 + a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 2432] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 2*a^4*z^4 + 
   2*z^6 + z^6/a^2 + a^2*z^6, Knot[13, Alternating, 2433] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4 + z^4/a^6 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 2434] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 2*a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   a^4*z^4 - 3*a^6*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2435] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 2436] -> a^4 - a^6 + 3*a^8 - a^10 - a^12 + z^2 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, Knot[13, Alternating, 2437] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 2438] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + z^4 - 4*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, Alternating, 2439] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 2440] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2441] -> 4*a^6 - 3*a^8 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2442] -> -a^2 + 4*a^4 - a^6 - a^8 + z^2/a^2 - 
   3*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 2443] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2444] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 5*z^2 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 + 4*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (5*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2445] -> 2 - a^(-10) + a^(-8) + a^(-6) - 2/a^2 + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 2446] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2447] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - 4*a^4*z^2 + 
   22*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   21*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 2448] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 10*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 + 
   3*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 + z^4/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2449] -> 2*a^2 - 7*a^4 + 12*a^6 - 6*a^8 + 9*a^2*z^2 - 
   27*a^4*z^2 + 36*a^6*z^2 - 11*a^8*z^2 + 12*a^2*z^4 - 38*a^4*z^4 + 
   35*a^6*z^4 - 6*a^8*z^4 + 6*a^2*z^6 - 25*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2450] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 2*z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 
   6*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2451] -> 
  1 - 2*a^2 + 6*a^6 - 4*a^8 + 4*z^2 - 7*a^2*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + 
   4*z^4 - 9*a^2*z^4 - 4*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + z^6 - 5*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2452] -> 
  1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + z^2 + z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 + 2*a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 2453] -> 
  2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 + 6*a^2*z^2 - 18*a^4*z^2 + 26*a^6*z^2 - 
   8*a^8*z^2 + 8*a^2*z^4 - 26*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 
   19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 2454] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 
   z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2455] -> -1 + 8*a^2 - 10*a^4 + 4*a^6 - 
   4*z^2 + 23*a^2*z^2 - 34*a^4*z^2 + 13*a^6*z^2 - 4*z^4 + 25*a^2*z^4 - 
   43*a^4*z^4 + 13*a^6*z^4 - z^6 + 12*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 
   2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2456] -> 1 + 3*a^2 - 6*a^4 + 3*a^6 + 4*z^2 - z^2/a^2 + 
   a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2457] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (5*z^2)/a^8 + (19*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (22*z^4)/a^6 - (29*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 2458] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, Alternating, 2459] -> -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 
   8*a^4*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 2460] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2461] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - 
   z^2/a^4 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 2462] -> 2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + 
   7*a^2*z^2 - 10*a^4*z^2 + 13*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 
   12*a^4*z^4 - 6*a^6*z^4 + 10*a^8*z^4 - a^10*z^4 + a^2*z^6 - 6*a^4*z^6 - 
   5*a^6*z^6 + 2*a^8*z^6 - a^4*z^8 - a^6*z^8, Knot[13, Alternating, 2463] -> 
  2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 2*z^2 + a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[13, Alternating, 2464] -> 
  1 - a^2 + a^6 + 2*a^8 - 2*a^10 + 3*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + z^4 - 3*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[13, Alternating, 2465] -> 
  1 - a^2 + 2*a^6 - a^10 + z^2 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 
   2*a^8*z^2 - z^4 - 3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, 
 Knot[13, Alternating, 2466] -> 1 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 + z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + 
   (3*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2467] -> 2*a^4 - a^8 + a^2*z^2 - 2*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   4*a^2*z^6 - 13*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 2468] -> 
  -3 + 8*a^2 - 4*a^4 - 16*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 
   25*z^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2469] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - (4*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2470] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2471] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 9*z^2 + z^2/a^6 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2472] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (7*z^2)/a^8 + (27*z^2)/a^6 - (31*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^8 + 
   (30*z^4)/a^6 - (42*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - 
   (26*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 2473] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + 5*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - (8*z^2)/a^2 + 
   4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2474] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[13, Alternating, 2475] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 2476] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   9*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2477] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2478] -> 
  1 - a^2 + a^4 - a^6 + 3*a^8 - 2*a^10 + 3*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 7*a^2*z^4 + 6*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 2479] -> 1 - a^2 + a^4 + a^8 - a^10 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 2*z^4 - a^2*z^4 - a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, Alternating, 2480] -> 
  3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 + 8*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2481] -> 
  2*a^4 - a^8 + 2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   3*z^4 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2482] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 9*z^2 - (8*z^2)/a^4 + (21*z^2)/a^2 - 
   10*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2483] -> 2 - a^(-2) + a^2 - a^4 - 4*z^2 - z^2/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 9*a^4*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 2484] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   3*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - 3*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2485] -> 
  -3/a^6 + 5/a^4 - a^(-2) - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + 
   (9*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, Alternating, 2486] -> 
  5 - 2/a^2 - 2*a^2 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2487] -> 1 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - z^4 + 3*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2488] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 13*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2489] -> 
  2*a^4 - a^8 - a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2490] -> a^2 + a^6 - a^8 - z^2 + 2*a^2*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2491] -> 1 + 4*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 
   4*z^4 + 12*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2492] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2493] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 + (7*z^4)/a^6 - (22*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 2494] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2495] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2496] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 20*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 
   8*a^4*z^2 - 26*z^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2497] -> -5 + 2/a^2 + 5*a^2 - a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2498] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2499] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^6 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 2500] -> 6*a^6 - 7*a^8 + 2*a^10 - 2*a^4*z^2 + 
   17*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 17*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 2501] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - z^4 + a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 2502] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (8*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2503] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2504] -> a^4 + 2*a^6 - 2*a^8 + z^2 - a^2*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2505] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - a^2*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2506] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - z^4/a^2 - 9*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2507] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 + 
   z^2 + (4*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 2508] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2509] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + 
   z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - 
   a^2*z^4 - 5*a^4*z^4 + 2*a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[13, Alternating, 2510] -> 3*a^6 - a^8 - a^10 + 2*a^4*z^2 + 4*a^6*z^2 + 
   2*a^8*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[13, Alternating, 2511] -> 
  -a^2 + 5*a^4 - 3*a^6 + z^2 - 4*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 - a^8*z^2 + 
   2*z^4 - 5*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2512] -> 
  -4 + 10*a^2 - 5*a^4 - 15*z^2 + (3*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 - 
   24*z^4 + (8*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2513] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 2514] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 
   2*a^2 + 10*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 2515] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 5*z^4 + z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[13, Alternating, 2516] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - (3*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2517] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 2518] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - z^2 + 
   (2*z^2)/a^2 - 7*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2519] -> 
  a^2 + a^4 - a^6 - 3*z^2 + z^2/a^4 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 2520] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (6*z^4)/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2521] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2522] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2523] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[13, Alternating, 2524] -> 
  2 - a^(-2) + a^4 - a^6 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 2525] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2526] -> 2 - a^(-6) + a^(-4) - a^2 + 6*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 2527] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 2528] -> 
  -2/a^6 + 3/a^4 + z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2529] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 2530] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 
   z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[13, Alternating, 2531] -> a^(-4) - 2*a^2 + 2*a^4 - 2*z^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2532] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 8*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2533] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2534] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2535] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 23*z^2 + (6*z^2)/a^2 + 29*a^2*z^2 - 
   9*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2536] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - 
   (7*z^2)/a^12 + (6*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - 
   (2*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2537] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - z^4/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2538] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^14 - 
   (17*z^2)/a^12 + (20*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^14 - 
   (9*z^4)/a^12 + (29*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + z^6/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 2539] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - 
   z^2/a^14 - (5*z^2)/a^12 + (6*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^14 + (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2540] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2541] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 5*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2542] -> 
  3 - 3*a^2 + a^6 + 4*z^2 - z^2/a^6 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   3*z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 2543] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2544] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 2545] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2546] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + z^4 - a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2547] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 
   2*a^6 - 9*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2548] -> 
  -2*a^4 + 12*a^6 - 13*a^8 + 4*a^10 - 9*a^4*z^2 + 38*a^6*z^2 - 33*a^8*z^2 + 
   8*a^10*z^2 - 12*a^4*z^4 + 44*a^6*z^4 - 31*a^8*z^4 + 5*a^10*z^4 - 
   6*a^4*z^6 + 26*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[13, Alternating, 2549] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 8*a^6*z^2 - 
   11*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 7*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 2550] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 
   31*z^2 + (9*z^2)/a^2 + 37*a^2*z^2 - 11*a^4*z^2 - 39*z^4 + (12*z^4)/a^2 + 
   35*a^2*z^4 - 6*a^4*z^4 - 25*z^6 + (6*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 2551] -> 
  -6 + 2/a^2 + 6*a^2 + a^4 - 2*a^6 - 13*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 7*a^4*z^4 - a^6*z^4 - 
   5*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2552] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2553] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 2554] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - 3*a^2*z^2 + 6*a^4*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - z^4 - 2*a^2*z^4 + 8*a^4*z^4 + 6*a^6*z^4 - 
   4*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6, 
 Knot[13, Alternating, 2555] -> 2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 2556] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2557] -> -2 + 4*a^2 + 2*a^4 - 4*a^6 + a^8 - 4*z^2 + 
   8*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 2558] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2559] -> 
  -3 + 2/a^2 - 2*a^2 + 8*a^4 - 4*a^6 - 8*z^2 + (5*z^2)/a^2 - 7*a^2*z^2 + 
   16*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 10*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2560] -> -3 + 2/a^2 - a^2 + 6*a^4 - 3*a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2561] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + 
   5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 2562] -> 2*a^4 - a^8 + z^2 - 3*a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2563] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 2564] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 
   2*a^4 - z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2565] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2566] -> a^4 + 2*a^6 - 2*a^8 + z^2 - a^2*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2567] -> 2 - a^(-6) + a^(-4) - a^2 + 5*z^2 + z^2/a^6 - 
   z^2/a^4 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2568] -> -3 + 2/a^2 + a^2 + 3*a^6 - 2*a^8 - 5*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 2569] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 4*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2570] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2571] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2572] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2573] -> 
  -2/a^8 + 3/a^6 + a^(-4) - 2/a^2 + a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 2574] -> -a^(-10) + a^(-8) + a^(-6) - a^(-2) + a^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2, Knot[13, Alternating, 2575] -> 
  -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - z^2 + a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2576] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 12*z^2 + z^2/a^6 + (2*z^2)/a^4 - (12*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2577] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - a^(-2) + 
   a^2 - 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^6 + z^6/a^4 + z^6/a^2, Knot[13, Alternating, 2578] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[13, Alternating, 2579] -> 
  a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - 4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2580] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2581] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 5*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 2582] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2583] -> -2/a^8 + 5/a^6 - 3/a^4 + a^2 - 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[13, Alternating, 2584] -> -a^(-10) + 2/a^8 - a^(-4) + a^2 - 
   z^2 + (2*z^2)/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2, Knot[13, Alternating, 2585] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + z^2/a^6 - (4*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 2586] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 - z^2/a^2 + 3*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 2587] -> 2*a^2 - a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - 
   z^6 - z^6/a^4 - z^6/a^2, Knot[13, Alternating, 2588] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 2589] -> 
  a^2 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^2 - a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 2590] -> 2*a^2 - a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2591] -> -3/a^6 + 5/a^4 - a^(-2) + z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 2592] -> 3 - a^(-2) - a^2 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2593] -> -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 2594] -> 2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2595] -> -1 - a^(-6) + 3/a^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2596] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 10*z^2 - 
   (4*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2597] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2598] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2599] -> 2 - 2/a^8 + 2/a^6 + 3/a^4 - 
   4/a^2 + 3*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2600] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   a^(-4) + a^(-2) - z^2/a^12 + (4*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2601] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^4 - z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2602] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 2603] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2604] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 
   2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[13, Alternating, 2605] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 6*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 2606] -> 2 - 2/a^8 + a^(-6) + 5/a^4 - 5/a^2 + 
   3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2607] -> -2 - 2/a^8 + 3/a^6 - a^(-4) + 2/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2608] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   3*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2609] -> -1 - 2/a^8 + 3/a^6 + a^2 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2610] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 3*z^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2611] -> -2/a^8 + 3/a^6 + a^(-4) - 2/a^2 + a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2612] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 
   12*z^2 + z^2/a^6 + (2*z^2)/a^4 - (12*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2613] -> -8 + 4/a^6 - 17/a^4 + 22/a^2 - 18*z^2 + 
   (8*z^2)/a^6 - (38*z^2)/a^4 + (53*z^2)/a^2 - 15*z^4 + (5*z^4)/a^6 - 
   (33*z^4)/a^4 + (53*z^4)/a^2 - 6*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (28*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2614] -> -7 + 4/a^6 - 16/a^4 + 20/a^2 - 16*z^2 + 
   (8*z^2)/a^6 - (36*z^2)/a^4 + (48*z^2)/a^2 - 14*z^4 + (5*z^4)/a^6 - 
   (32*z^4)/a^4 + (49*z^4)/a^2 - 6*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2615] -> 2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2616] -> 
  -6 + 19*a^2 - 17*a^4 + 5*a^6 - 11*z^2 + 42*a^2*z^2 - 42*a^4*z^2 + 
   13*a^6*z^2 - 6*z^4 + 36*a^2*z^4 - 45*a^4*z^4 + 13*a^6*z^4 - z^6 + 
   14*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 2617] -> 3 - 2/a^2 + 5*a^2 - 8*a^4 + 
   3*a^6 + 8*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 + 7*z^4 - 
   z^4/a^2 - a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2618] -> 
  12 - 4/a^2 - 9*a^2 + a^4 + a^6 + 18*z^2 - (4*z^2)/a^2 - 16*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 + 10*z^4 - z^4/a^2 - 12*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 5*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2619] -> 4 + a^(-8) - 4/a^6 + 8/a^4 - 8/a^2 + 4*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (14*z^2)/a^2 + z^4 - (2*z^4)/a^8 + z^4/a^6 + 
   (8*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2620] -> 
  4*a^4 - 8*a^6 + 9*a^8 - 4*a^10 + 8*a^4*z^2 - 14*a^6*z^2 + 14*a^8*z^2 - 
   2*a^12*z^2 + 5*a^4*z^4 - 11*a^6*z^4 + 5*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 5*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 2621] -> -2/a^6 + 3/a^4 + z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2622] -> -3 - 2/a^4 + 5/a^2 + a^2 - 19*z^2 - 
   (4*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 30*z^4 - (3*z^4)/a^4 + 
   (20*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 2623] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (16*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2624] -> 6*a^6 - 7*a^8 + 2*a^10 - 2*a^2*z^2 + 
   2*a^4*z^2 + 15*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 2625] -> 
  -3 + 2/a^2 + 2*a^2 - 19*z^2 - z^2/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 30*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2626] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[13, Alternating, 2627] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2628] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2629] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2630] -> 
  -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - a^2*z^2 - 3*a^4*z^2 + 23*a^6*z^2 - 
   17*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 22*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[13, Alternating, 2631] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 
   5*z^2 + 25*a^2*z^2 - 32*a^4*z^2 + 12*a^6*z^2 - 4*z^4 + 26*a^2*z^4 - 
   42*a^4*z^4 + 13*a^6*z^4 - z^6 + 12*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 
   2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2632] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 12*a^4*z^2 + 6*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2633] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 2634] -> a^(-10) - 6/a^8 + 6/a^6 + 
   a^(-4) - a^(-2) + (2*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (17*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 2635] -> 
  5 - a^(-2) - 4*a^2 + a^6 + 8*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2636] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (15*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2637] -> -a^(-6) + 2/a^4 - a^2 + a^4 + 3*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 2638] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 2639] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 2640] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 2641] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 2*z^2 - z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 2642] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 - a^2*z^2 - 
   2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2643] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   z^2 - 3*a^2*z^2 + 10*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   9*a^4*z^4 - 6*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 2644] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2645] -> -1 + 3*a^2 - a^6 - 3*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 5*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2646] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 7*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 12*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 2647] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 
   3*a^4*z^2 + 6*a^8*z^2 + a^10*z^2 - 2*a^12*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6 + 
   2*a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, Alternating, 2648] -> 
  1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 + z^4 - 7*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 + z^6 - 
   3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2649] -> 
  2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 + 2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   10*a^8*z^2 - 4*a^10*z^2 + 2*a^4*z^4 - 8*a^6*z^4 + 6*a^8*z^4 - a^2*z^6 + 
   2*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 2650] -> 
  2 - 2*a^2 + a^4 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2651] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2652] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 2653] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 
   8*z^2 - (3*z^2)/a^2 - 12*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2654] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 9*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 2655] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2656] -> -3 - 2/a^4 + 5/a^2 + a^2 - 22*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 32*z^4 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 2657] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2658] -> 1 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2659] -> 2 - a^(-2) + a^4 - a^6 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 2660] -> 6*a^6 - 7*a^8 + 2*a^10 - a^2*z^2 - 
   a^4*z^2 + 18*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 + 18*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 2661] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (24*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + (32*z^4)/a^2 - 
   5*z^6 + z^6/a^6 - (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2662] -> 
  3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2663] -> 1 - a^2 + 2*a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 
   2*z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 
   5*a^2*z^4 + 4*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 2664] -> 
  -1 - 2/a^4 + 4/a^2 - 14*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 
   26*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2665] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2666] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 2667] -> 
  1 + a^(-4) - a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + 7*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 11*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   10*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 2668] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2669] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 2670] -> 
  2 - a^(-2) + a^2 - a^4 - 5*z^2 + 13*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2671] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 2672] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2673] -> 
  2*a^2 - a^4 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, Alternating, 2674] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2675] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2676] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 
   21*a^2*z^2 - 21*a^4*z^2 + 7*a^6*z^2 - 5*z^4 + 27*a^2*z^4 - 34*a^4*z^4 + 
   11*a^6*z^4 - z^6 + 13*a^2*z^6 - 24*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 2677] -> 
  -2 + 6*a^2 - 3*a^4 - 16*z^2 + (3*z^2)/a^2 + 26*a^2*z^2 - 10*a^4*z^2 - 
   23*z^4 + (4*z^4)/a^2 + 38*a^2*z^4 - 12*a^4*z^4 - 12*z^6 + z^6/a^2 + 
   25*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2678] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 24*z^2 - 
   (4*z^2)/a^4 + (18*z^2)/a^2 + 9*a^2*z^2 - 37*z^4 - (4*z^4)/a^4 + 
   (24*z^4)/a^2 + 12*a^2*z^4 - 25*z^6 - z^6/a^4 + (12*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 2679] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 - 
   12*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (25*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2680] -> -1 - 2/a^4 + 4/a^2 + z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 2681] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 + 6*z^4 - z^4/a^2 - 10*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2682] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 
   5*a^4*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2683] -> 1 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2684] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (23*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + 
   (24*z^4)/a^6 - (37*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - 
   (25*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 2685] -> -4/a^8 + 6/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (39*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + 
   (25*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 2686] -> -3/a^8 + 4/a^6 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2687] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (8*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2688] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2689] -> 2/a^6 - 5/a^4 + 4/a^2 - (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - (10*z^4)/a^8 + (30*z^4)/a^6 - 
   (31*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 2690] -> -5 + 3/a^2 + 3*a^2 - 23*z^2 - (6*z^2)/a^4 + 
   (19*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 - (11*z^4)/a^4 + (33*z^4)/a^2 + 
   5*a^2*z^4 - 13*z^6 - (6*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2691] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2692] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 20*a^2*z^2 - 22*a^4*z^2 + 7*a^6*z^2 - 
   11*z^4 + 33*a^2*z^4 - 28*a^4*z^4 + 5*a^6*z^4 - 6*z^6 + 24*a^2*z^6 - 
   13*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2693] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 2694] -> 
  -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - (4*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2695] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2696] -> 5*a^6 - 5*a^8 + a^10 - 4*a^4*z^2 + 
   24*a^6*z^2 - 21*a^8*z^2 + 6*a^10*z^2 - 10*a^4*z^4 + 35*a^6*z^4 - 
   27*a^8*z^4 + 5*a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - 
   a^4*z^8 + 8*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 2697] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   4*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   6*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2698] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 2699] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   20*z^2 + (6*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 33*z^4 + (11*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 24*z^6 + (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 2700] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2701] -> a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2702] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 
   7*a^2*z^2 - 18*a^4*z^2 + 23*a^6*z^2 - 7*a^8*z^2 + 11*a^2*z^4 - 
   33*a^4*z^4 + 28*a^6*z^4 - 5*a^8*z^4 + 6*a^2*z^6 - 24*a^4*z^6 + 
   13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2703] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - a^2*z^2 - 
   4*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 6*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2704] -> a^2 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 
   2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2705] -> 
  -2/a^12 + 3/a^8 - (3*z^2)/a^14 - (4*z^2)/a^12 + (9*z^2)/a^10 + 
   (10*z^2)/a^8 - (4*z^4)/a^14 + (2*z^4)/a^12 + (18*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 2706] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - (2*z^2)/a^14 - (2*z^2)/a^12 + 
   (5*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2707] -> 
  1 + a^2 - 2*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2708] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[13, Alternating, 2709] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 13*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, Alternating, 2710] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 2711] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 4*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 
   z^4 + 3*a^4*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 2712] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (8*z^4)/a^4 + (24*z^4)/a^2 + 
   4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2713] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + 18*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 
   28*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2714] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 
   6*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 2715] -> -1 + a^(-2) + a^2 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 2716] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2717] -> -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 9*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2718] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^4*z^2 - 
   4*z^4 + (2*z^4)/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 2719] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2720] -> 2 + 2/a^6 - 3/a^4 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2721] -> a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + 
   3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 2722] -> -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 2723] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[13, Alternating, 2724] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (4*z^2)/a^14 - (3*z^2)/a^12 + (11*z^2)/a^10 + 
   (9*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 2725] -> 
  -2/a^12 + 3/a^8 - (2*z^2)/a^14 - (3*z^2)/a^12 + (6*z^2)/a^10 + 
   (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 2726] -> 2 - 3*a^4 + 2*a^6 + 7*z^2 - 
   (4*z^2)/a^2 - 9*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 2727] -> 2 + 2/a^6 - 3/a^4 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2728] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + 
   (32*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2729] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 27*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2730] -> 5*a^2 - 7*a^4 + 3*a^6 - 8*z^2 + 25*a^2*z^2 - 
   27*a^4*z^2 + 8*a^6*z^2 - 12*z^4 + 37*a^2*z^4 - 30*a^4*z^4 + 5*a^6*z^4 - 
   6*z^6 + 25*a^2*z^6 - 13*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 2731] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   19*z^2 + (6*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 28*z^4 + (9*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 2732] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 2733] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 + (2*z^4)/a^2 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[13, Alternating, 2734] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 2735] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2736] -> -1 + a^(-2) + a^2 - 13*z^2 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 - (8*z^4)/a^4 + (24*z^4)/a^2 + 
   4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2737] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2738] -> -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 24*z^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 2739] -> 
  2*a^2 - a^4 - 4*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 8*z^4 + 
   24*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2740] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2741] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2742] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (7*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2743] -> -a^(-6) + a^(-4) + a^(-2) + 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 2744] -> 1 + 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2745] -> -2/a^8 + 2/a^6 + a^(-4) - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2746] -> -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 2747] -> a^(-2) - a^2 + a^4 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2748] -> 
  a^2 + a^6 - a^8 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 2749] -> a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2750] -> 1 + a^2 - 2*a^4 + a^6 + 5*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 2751] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2752] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2753] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[13, Alternating, 2754] -> -1 - a^(-6) + 3/a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^6 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 2755] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 2756] -> -2 + a^(-2) + a^2 + 3*a^4 - 
   2*a^6 - 8*z^2 + (4*z^2)/a^2 + 9*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2757] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + z^2/a^4 + 2*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[13, Alternating, 2758] -> -4/a^12 + 4/a^10 + a^(-8) - 
   (3*z^2)/a^14 - (7*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + 
   z^4/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 2759] -> -3/a^12 + 2/a^10 + 2/a^8 - (2*z^2)/a^14 - 
   (3*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + 
   z^4/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2760] -> 
  -2/a^12 + 3/a^8 - z^2/a^14 - (4*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + (8*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 2761] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 3*a^2*z^2 + 
   9*a^4*z^2 + a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   4*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2762] -> 
  a^2 + a^4 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 2763] -> 
  -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^12 + (4*z^2)/a^10 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2764] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2765] -> -1 + a^(-4) + a^4 + 2*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2766] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 2767] -> -2/a^12 + 3/a^8 - z^2/a^14 - 
   (2*z^2)/a^12 + (4*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (4*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 2768] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2769] -> 
  a^2 + a^6 - a^8 + 2*z^2 - 2*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   5*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2770] -> 
  -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2771] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (27*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2772] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (5*z^2)/a^8 + (22*z^2)/a^6 - 
   (29*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^8 + (26*z^4)/a^6 - (41*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + 
   (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 2773] -> -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^14 - 
   (4*z^2)/a^12 + (3*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - z^4/a^14 - 
   z^4/a^12 + (9*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2774] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 18*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 
   9*z^4 + 28*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2775] -> 2 - a^2 - a^4 + a^6 + 5*z^2 - (3*z^2)/a^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 2776] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[13, Alternating, 2777] -> -2/a^12 + a^(-10) + a^(-8) + 
   a^(-6) - z^2/a^14 - z^2/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + z^4/a^12 + (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 2778] -> -a^(-12) + 2/a^8 - a^(-6) + a^(-2) - 
   z^2/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2779] -> 
  -4 - 5/a^4 + 10/a^2 - 12*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + (33*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + (42*z^4)/a^2 - 6*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (26*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2780] -> -3/a^4 + 5/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 2781] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 25*z^2 + (8*z^2)/a^2 + 28*a^2*z^2 - 
   8*a^4*z^2 - 37*z^4 + (12*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + 
   (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2782] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 2783] -> 7*a^6 - 9*a^8 + 3*a^10 - 
   6*a^4*z^2 + 29*a^6*z^2 - 27*a^8*z^2 + 7*a^10*z^2 - 11*a^4*z^4 + 
   39*a^6*z^4 - 29*a^8*z^4 + 5*a^10*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 8*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 2784] -> 2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - 2*a^2*z^2 + 
   5*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   7*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 2785] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - 4*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 2786] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 
   2*z^2 + 4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 
   3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 2787] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 18*z^2 + 
   (6*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 28*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 2788] -> 
  a^2 + a^6 - a^8 + 5*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + 
   8*a^2*z^4 - 24*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2789] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2790] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   6*z^2 + (3*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2791] -> 
  1 + a^6 - 2*a^8 + a^10 + z^2 - z^2/a^2 + a^6*z^2 - 2*a^8*z^2 + z^4 + 
   a^2*z^4 + a^4*z^4 + a^6*z^4, Knot[13, Alternating, 2792] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2793] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2794] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (14*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (18*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2795] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (7*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2796] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, Alternating, 2797] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + z^4 - (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 2798] -> 
  4*a^2 - 4*a^4 + a^8 - 3*z^2 + 10*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 - 4*z^4 + 9*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 
   5*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 2799] -> 1 + 2*a^2 - 3*a^4 + a^8 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2800] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 - z^2/a^4 - 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 2801] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 - z^2/a^4 - 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 2802] -> -2 + 2/a^2 + a^4 - 5*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2803] -> -a^(-8) + 2/a^4 - (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^12 + (9*z^4)/a^10 - 
   (10*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2804] -> -3/a^12 + 3/a^10 + a^(-6) - (2*z^2)/a^14 - 
   (4*z^2)/a^12 + (11*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + 
   z^4/a^12 + (11*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2805] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - z^2/a^14 - (2*z^2)/a^12 + 
   (4*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   (4*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 2806] -> 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 2807] -> 2 - 2*a^4 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2808] -> -2 + 2/a^2 + a^4 - 5*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2809] -> 5*a^2 - 6*a^4 + a^6 + a^8 - 
   4*z^2 + 11*a^2*z^2 - 8*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 
   10*a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 5*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 2810] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6 + z^6/a^2 + a^2*z^6, Knot[13, Alternating, 2811] -> 
  a^(-2) + a^2 - 2*a^4 + a^8 - z^2/a^4 - 2*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4, Knot[13, Alternating, 2812] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2813] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 2814] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2815] -> -3 + 3/a^2 - a^2 + 2*a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2816] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - z^2/a^14 - (4*z^2)/a^12 + 
   (8*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^14 + (9*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 2817] -> -2 + a^(-4) + a^(-2) - a^2 + 
   2*a^4 - 4*z^2 - z^2/a^6 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 2818] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2819] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (5*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2820] -> 
  -a^(-8) + 2/a^4 - z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 - 
   z^4 - (2*z^4)/a^8 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2821] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2822] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 2823] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - (6*z^2)/a^12 + (17*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 - 
   (5*z^4)/a^12 + (26*z^4)/a^10 - (30*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + 
   (13*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, Alternating, 2824] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^12 + (8*z^2)/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2825] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^12 + (5*z^2)/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2826] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   10*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2827] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 3*z^2 + 
   6*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 8*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 5*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 2828] -> 
  2*a^2 - 2*a^6 + a^8 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   z^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2829] -> a^6 - a^8 + 5*a^10 - 4*a^12 + 10*a^6*z^2 - 
   11*a^8*z^2 + 24*a^10*z^2 - 10*a^12*z^2 + 15*a^6*z^4 - 25*a^8*z^4 + 
   31*a^10*z^4 - 6*a^12*z^4 + 7*a^6*z^6 - 22*a^8*z^6 + 14*a^10*z^6 - 
   a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[13, Alternating, 2830] -> a^6 + 3*a^10 - 3*a^12 + 3*a^4*z^2 + 
   3*a^6*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 
   9*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 2831] -> 
  a^6 + a^8 + a^10 - 2*a^12 + 4*a^4*z^2 + 4*a^8*z^2 + 6*a^10*z^2 - 
   3*a^12*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + 7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 2832] -> a^6 + a^8 + a^10 - 2*a^12 + a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   3*a^6*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2833] -> a^6 + 2*a^8 - a^10 - a^12 + 3*a^4*z^2 + 
   a^6*z^2 + 5*a^8*z^2 + 4*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 3*a^6*z^4 + 
   a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 
   2*a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, Alternating, 2834] -> 
  2*a^6 - a^12 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + a^2*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 
   2*a^6*z^6 - a^8*z^6, Knot[13, Alternating, 2835] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 7*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   10*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2836] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + z^2/a^4 + 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 2837] -> 
  -4 - 5/a^4 + 10/a^2 - 11*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (30*z^2)/a^2 - 
   11*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + (36*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2838] -> -1 - a^(-6) + 3/a^2 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 2839] -> a^(-4) - 2*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2840] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2841] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2842] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 2843] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + 2*a^2*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - 
   a^4*z^6 - a^6*z^6 - a^8*z^6, Knot[13, Alternating, 2844] -> 
  1 + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2845] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (3*z^2)/a^12 + (9*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 2846] -> -a^(-12) + a^(-10) - a^(-6) + 
   2/a^4 - z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2847] -> 
  a^(-2) - a^2 + a^4 - (3*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2848] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + 
   (10*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2849] -> -a^(-8) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2850] -> 
  -3 + 3/a^2 + a^6 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[13, Alternating, 2851] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - z^2/a^14 - (5*z^2)/a^12 + 
   (8*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - z^4/a^12 + 
   (11*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2852] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2853] -> 
  1 + a^2 - a^4 - a^6 + a^8 + z^2 - z^2/a^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2854] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 2855] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) - 
   z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[13, Alternating, 2856] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - z^2/a^14 - (11*z^2)/a^12 + 
   (14*z^2)/a^10 + (9*z^2)/a^8 - (3*z^4)/a^14 - (2*z^4)/a^12 + 
   (20*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 2857] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   z^2/a^14 - (5*z^2)/a^12 + (4*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + (8*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2858] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - (2*z^2)/a^14 - z^2/a^12 + 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2859] -> 
  -a^(-12) + 2/a^6 - z^2/a^14 - z^2/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 2860] -> 
  6*a^6 - 7*a^8 + 2*a^10 - a^2*z^2 - a^4*z^2 + 18*a^6*z^2 - 15*a^8*z^2 + 
   3*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 19*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 2861] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 - a^2*z^4 + 6*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 2862] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2863] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 2864] -> 
  a^6 + 3*a^8 - 3*a^10 + 4*a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 2*a^12*z^2 + 
   4*a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   4*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 2865] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 2*a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2866] -> 2 - a^2 - a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 2867] -> a^(-14) - 4/a^12 + a^(-10) + 
   3/a^8 - (9*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - z^4/a^14 - 
   (3*z^4)/a^12 + (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2868] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 2869] -> 
  a^(-2) - a^6 + a^8 - 2*z^2 - z^2/a^4 + z^2/a^2 + a^4*z^2 - 3*a^6*z^2 + 
   (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, Alternating, 2870] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (9*z^4)/a^10 - (12*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 2871] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^14 - (14*z^2)/a^12 + (15*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 - (5*z^4)/a^12 + (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 2872] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 4*z^2 + 
   7*a^2*z^2 + 4*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 9*a^2*z^4 + 
   5*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 5*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 2873] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 2*z^2 - z^2/a^4 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, Alternating, 2874] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - 
   z^2/a^4 + a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + 
   a^4*z^4, Knot[13, Alternating, 2875] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 2*a^10*z^2 - a^2*z^4 - a^4*z^4 - a^6*z^4 - 
   a^8*z^4, Knot[13, Alternating, 2876] -> a^(-8) - 4/a^6 + 4/a^4 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2877] -> -2/a^8 + 5/a^4 - 2/a^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (9*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2878] -> -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (6*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (9*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2879] -> 4 + 2/a^6 - a^(-4) - 4/a^2 + 4*z^2 + 
   z^2/a^6 - (10*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2880] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^12 + (9*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2881] -> -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2882] -> 
  -1 + 2/a^6 - 2/a^4 + 2*a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[13, Alternating, 2883] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[13, Alternating, 2884] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - (3*z^2)/a^12 + (10*z^2)/a^10 - 
   (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (13*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2885] -> -a^(-12) + a^(-10) + a^(-2) - z^2/a^12 + 
   (4*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2886] -> 
  -1 - 2/a^8 + 2/a^6 + 2/a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 2887] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 2888] -> -a^(-12) + a^(-10) - a^(-8) + 2/a^6 - 
   a^(-4) + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2889] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[13, Alternating, 2890] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2/a^12 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (3*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2891] -> 
  -2/a^12 + 2/a^10 + a^(-4) - z^2/a^14 - z^2/a^12 + (4*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 2892] -> 
  2/a^6 - 2/a^4 + a^4 - z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + z^4/a^6 + z^4/a^4 + z^4/a^2, 
 Knot[13, Alternating, 2893] -> 1 - 5*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2894] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2895] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + 
   (22*z^4)/a^6 - (28*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 2896] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 
   5*a^2*z^2 - 15*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 8*a^2*z^4 - 25*a^4*z^4 + 
   26*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2897] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 - 
   3*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2898] -> -5 - 6/a^4 + 12/a^2 - 12*z^2 + 
   z^2/a^6 - (14*z^2)/a^4 + (31*z^2)/a^2 - 11*z^4 + (2*z^4)/a^6 - 
   (16*z^4)/a^4 + (36*z^4)/a^2 - 5*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2899] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + 24*a^2*z^2 - 
   10*a^4*z^2 - 14*z^4 + (2*z^4)/a^2 + 32*a^2*z^4 - 10*a^4*z^4 - 9*z^6 + 
   z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 2900] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + (4*z^2)/a^6 - 
   (15*z^2)/a^4 + (21*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (29*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2901] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, Alternating, 2902] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 2903] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2904] -> 1 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - 
   4*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2905] -> 1 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 2906] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2907] -> -2 + a^(-4) + a^(-2) + a^6 - 2*z^2 - 
   z^2/a^6 - 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[13, Alternating, 2908] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2909] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + z^4 - 
   5*a^2*z^4 + 4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[13, Alternating, 2910] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[13, Alternating, 2911] -> 
  a^6 + 2*a^8 - a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 + a^6*z^2 + 5*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 
   2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2912] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (9*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (16*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 2913] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 2914] -> 
  a^(-4) - a^2 + a^6 - z^2/a^6 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 2915] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - z^2 + 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 2*z^4 - a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, Alternating, 2916] -> 
  -1 + 2/a^2 - a^2 + a^6 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + z^4/a^4 + (3*z^4)/a^2 + a^2*z^4, 
 Knot[13, Alternating, 2917] -> 2*a^6 - a^12 + z^2 + a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4, Knot[13, Alternating, 2918] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 17*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 
   9*a^4*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 2919] -> 
  2*a^2 - a^4 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 2920] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^4 - 3*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 2921] -> 
  -3 - 4/a^4 + 8/a^2 - 9*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 2922] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 + z^4/a^10 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2923] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^10 - (11*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, Alternating, 2924] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 2925] -> 
  -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - (24*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^8 + (11*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 2926] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 2927] -> a^2 - 4*a^4 + 9*a^6 - 5*a^8 + 
   5*a^2*z^2 - 15*a^4*z^2 + 25*a^6*z^2 - 8*a^8*z^2 + 8*a^2*z^4 - 25*a^4*z^4 + 
   26*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2928] -> 4*a^6 - 3*a^8 + z^2 - 2*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2929] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 + (4*z^2)/a^6 - 
   (17*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 2930] -> 
  3 - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 + z^2/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2931] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 2*z^2 - 
   a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, Alternating, 2932] -> 5 - 2/a^2 - 2*a^2 + z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 12*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 
   14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[13, Alternating, 2933] -> 
  5 - 2/a^2 - 2*a^2 + 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 2934] -> -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 3/a^4 - 
   (3*z^2)/a^12 + (7*z^2)/a^10 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^12 + (8*z^4)/a^10 - (3*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2935] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   a^(-4) + a^(-2) - z^2/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2936] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^4 + z^2/a^2 - 11*a^2*z^2 + 
   3*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 2937] -> a^2 - 5*a^4 + 11*a^6 - 6*a^8 + 7*a^2*z^2 - 
   22*a^4*z^2 + 34*a^6*z^2 - 11*a^8*z^2 + 11*a^2*z^4 - 34*a^4*z^4 + 
   34*a^6*z^4 - 6*a^8*z^4 + 6*a^2*z^6 - 24*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 2938] -> -a^4 + 6*a^6 - 4*a^8 + 2*z^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 5*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2939] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   6*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 2940] -> 
  -a^(-4) + 2/a^2 - 12*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 
   24*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 2941] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 2942] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (4*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + 
   (21*z^4)/a^6 - (29*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 2943] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 - (6*z^2)/a^12 + (20*z^2)/a^10 - (26*z^2)/a^8 + (17*z^2)/a^6 - 
   (5*z^4)/a^12 + (27*z^4)/a^10 - (35*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^12 + 
   (13*z^6)/a^10 - (24*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, Alternating, 2944] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^12 + (9*z^2)/a^10 - 
   (7*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2945] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 - (3*z^2)/a^12 + (8*z^2)/a^10 - 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - 
   (4*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2946] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (3*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^10 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[13, Alternating, 2947] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[13, Alternating, 2948] -> 
  a^2 - a^4 + 4*a^8 - 3*a^10 + 6*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 13*a^8*z^2 - 
   4*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 - 6*a^6*z^4 + 10*a^8*z^4 - a^10*z^4 + 
   a^2*z^6 - 6*a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[13, Alternating, 2949] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 2*z^2 + 
   a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[13, Alternating, 2950] -> a^2 - a^4 + 2*a^6 - a^10 + 2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 
   5*a^4*z^4 + 2*a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[13, Alternating, 2951] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 2952] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 2953] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2954] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) - (17*z^2)/a^12 + (24*z^2)/a^10 + 
   (5*z^2)/a^8 - (3*z^4)/a^14 - (7*z^4)/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^14 + (2*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 2955] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - z^2/a^14 - (6*z^2)/a^12 + 
   (6*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - z^4/a^14 - z^4/a^12 + 
   (10*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2956] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 7*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 2957] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^14 - 
   (13*z^2)/a^12 + (11*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - (5*z^4)/a^12 + 
   (15*z^4)/a^10 + (13*z^4)/a^8 + z^4/a^6 + z^6/a^12 + (6*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2958] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 2959] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 2960] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 
   z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[13, Alternating, 2961] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^12 + (6*z^2)/a^10 - 
   (6*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - 
   (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 2962] -> 
  a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 2*z^2 - a^2*z^2 + 3*a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 2963] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 3*a^8*z^2 - 2*z^4 - a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, Alternating, 2964] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 2*z^2 - z^2/a^6 + z^2/a^2 + a^2*z^2 - 
   3*a^4*z^2 + z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 2965] -> a^6 + 3*a^8 - 3*a^10 + a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + 9*a^8*z^2 - a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 
   5*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 2966] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - z^2 - 
   z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 2967] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - 
   2*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 2968] -> a^(-2) - a^4 + a^6 - z^2/a^6 + z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[13, Alternating, 2969] -> a^2 + a^8 - a^10 + z^2/a^2 + a^6*z^2 + 
   2*a^8*z^2 - z^4 - 2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[13, Alternating, 2970] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - z^2/a^14 - 
   (13*z^2)/a^12 + (18*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^14 - 
   (5*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 2971] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + 2*z^2 + 
   z^2/a^4 - z^2/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 2972] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 2973] -> 
  2*a^2 - 2*a^6 + a^8 - z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 2974] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2975] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (9*z^4)/a^10 - (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 2976] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2977] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   (10*z^2)/a^12 + (12*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 - 
   (3*z^4)/a^12 + (14*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 2978] -> 
  a^2 + a^8 - a^10 + z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*a^8*z^2 - 2*z^4 - 
   a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 2979] -> -a^(-12) + a^(-10) + a^(-2) - z^2/a^12 + 
   (4*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 2980] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - (3*z^2)/a^12 + (10*z^2)/a^10 - 
   (8*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (13*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2981] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   a^(-4) + a^(-2) - z^2/a^12 + (4*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 2982] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + 
   (9*z^4)/a^10 - (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 2983] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - 
   z^2/a^14 - (7*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^14 - z^4/a^12 + (12*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 2984] -> a^(-2) - a^2 + 2*a^6 - a^8 + z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - (2*z^4)/a^2 - a^2*z^4 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[13, Alternating, 2985] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 2986] -> 
  2*a^2 - 2*a^6 + a^8 - z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, Alternating, 2987] -> a^(-2) - a^4 + a^6 + z^2 - z^2/a^6 - 
   3*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 2988] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 25*z^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 
   5*a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 2989] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 9*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 2990] -> a^4 + 4*a^6 - 6*a^8 + 2*a^10 - a^2*z^2 + 
   15*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 + 17*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 2991] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 22*z^2 + (6*z^2)/a^2 + 29*a^2*z^2 - 
   9*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 2992] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2993] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 2994] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - 5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 2995] -> 2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 2996] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - 
   (6*z^4)/a^8 + (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 2997] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 2998] -> a^2 + a^4 - a^6 + z^2/a^4 - z^2/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 2999] -> -1 + a^(-2) - 2*a^2 + 6*a^4 - 3*a^6 - 4*z^2 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3000] -> 
  -2 + a^(-4) + 2*a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 3001] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 3002] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 3003] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - (2*z^4)/a^2 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, Alternating, 3004] -> a^2 - a^4 + 2*a^6 - a^10 + z^2 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - z^4 - 3*a^2*z^4 - 3*a^4*z^4 - 
   a^6*z^4, Knot[13, Alternating, 3005] -> 2 - 2*a^2 + a^4 + 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 3006] -> 
  -a^(-12) + 4/a^8 - 6/a^6 + 4/a^4 - (2*z^2)/a^12 + (4*z^2)/a^10 + 
   (6*z^2)/a^8 - (11*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 3007] -> 
  -a^4 + 10*a^6 - 12*a^8 + 4*a^10 - 6*a^4*z^2 + 31*a^6*z^2 - 30*a^8*z^2 + 
   8*a^10*z^2 - 11*a^4*z^4 + 39*a^6*z^4 - 30*a^8*z^4 + 5*a^10*z^4 - 
   6*a^4*z^6 + 25*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[13, Alternating, 3008] -> 
  2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 3009] -> a^2 + a^4 - 2*a^8 + a^10 + 
   3*a^4*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 + 3*a^4*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 3010] -> 
  -7 + a^(-2) + 13*a^2 - 6*a^4 - 24*z^2 + (6*z^2)/a^2 + 34*a^2*z^2 - 
   11*a^4*z^2 - 34*z^4 + (11*z^4)/a^2 + 34*a^2*z^4 - 6*a^4*z^4 - 24*z^6 + 
   (6*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3011] -> -a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 3012] -> -4 + a^(-2) + 5*a^2 + a^4 - 
   2*a^6 - 11*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 
   10*z^4 + (4*z^4)/a^2 + a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3013] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 3014] -> 
  -a^(-12) + a^(-10) + a^(-6) - 2/a^4 + 2/a^2 - z^2/a^12 + (4*z^2)/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[13, Alternating, 3015] -> -a^(-12) + 2/a^10 - 4/a^6 + 
   4/a^4 - (2*z^2)/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (8*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - z^4/a^8 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[13, Alternating, 3016] -> 
  -1 + a^(-2) - 3*a^2 + 8*a^4 - 4*a^6 - 5*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 
   16*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 10*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 3017] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 3018] -> -a^(-12) + a^(-10) + 2/a^8 - 5/a^6 + 4/a^4 - 
   (3*z^2)/a^12 + (8*z^2)/a^10 - (9*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + 
   (8*z^4)/a^10 - (4*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, Alternating, 3019] -> -a^(-12) + a^(-10) + a^(-8) - a^(-6) - 
   a^(-4) + 2/a^2 - z^2/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3020] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[13, Alternating, 3021] -> -1 + a^(-2) + 3*a^6 - 2*a^8 - 
   4*z^2 + (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 3022] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 2*z^2 + 
   z^2/a^4 - a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   a^4*z^4, Knot[13, Alternating, 3023] -> -3/a^10 + 3/a^8 + a^(-6) - 
   z^2/a^14 - (2*z^2)/a^12 + (9*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   (6*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3024] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 + z^2/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 3025] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 3026] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^6 + z^2/a^4 + 3*a^2*z^2 - 
   3*a^4*z^2 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, Alternating, 3027] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 8*z^2 - 
   (3*z^2)/a^2 - 11*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 
   10*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[13, Alternating, 3028] -> 1 - a^6 + 2*a^8 - a^10 + 2*z^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + z^4 - 7*a^2*z^4 + 7*a^4*z^4 - 
   6*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 3029] -> -a^(-12) + 3/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   z^2/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - z^4/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3030] -> 
  -a^(-12) + 3/a^8 - 2/a^6 - a^(-4) + 2/a^2 - z^2/a^12 + (3*z^2)/a^10 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (2*z^4)/a^10 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 3031] -> 1 - a^(-12) + a^(-10) + a^(-6) - a^(-4) + 
   z^2 + (2*z^2)/a^10 + z^2/a^8 - z^2/a^4 - z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 3032] -> 
  1 - a^(-12) + a^(-10) + a^(-8) - a^(-6) + z^2 + (2*z^2)/a^10 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 - z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 3033] -> 1 - a^(-12) + 2/a^10 - a^(-8) + z^2 + 
   (2*z^2)/a^10 - z^2/a^8 - z^2/a^2 - z^4/a^8 - z^4/a^6 - z^4/a^4 - z^4/a^2, 
 Knot[13, Alternating, 3034] -> 7 - 3/a^2 - 3*a^2 + z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 13*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3035] -> -4 + 14*a^2 - 13*a^4 + 4*a^6 - 8*z^2 + 
   33*a^2*z^2 - 36*a^4*z^2 + 12*a^6*z^2 - 5*z^4 + 31*a^2*z^4 - 43*a^4*z^4 + 
   13*a^6*z^4 - z^6 + 13*a^2*z^6 - 26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3036] -> 
  -2 + 2/a^6 - 9/a^4 + 11/a^2 - a^2 - 2*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (23*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 3037] -> 3 - a^(-2) - a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3038] -> 
  -1 - 4/a^4 + 8/a^2 - 4*a^2 + 2*a^4 - 3*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - z^4/a^4 + (9*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 3039] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 15*z^2 + 
   (5*z^2)/a^6 - (27*z^2)/a^4 + (42*z^2)/a^2 - 14*z^4 + (4*z^4)/a^6 - 
   (27*z^4)/a^4 + (47*z^4)/a^2 - 6*z^6 + z^6/a^6 - (12*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3040] -> -a^(-16) + 5/a^14 - 8/a^12 + a^(-10) + 
   4/a^8 + (3*z^2)/a^14 - (15*z^2)/a^12 + (9*z^2)/a^10 + (12*z^2)/a^8 - 
   (2*z^4)/a^14 - (6*z^4)/a^12 + (16*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[13, Alternating, 3041] -> 4 - 2/a^2 - a^4 - 6*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 
   9*a^4*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3042] -> 
  -4*a^4 + 17*a^6 - 17*a^8 + 5*a^10 - 12*a^4*z^2 + 46*a^6*z^2 - 37*a^8*z^2 + 
   8*a^10*z^2 - 13*a^4*z^4 + 49*a^6*z^4 - 32*a^8*z^4 + 5*a^10*z^4 - 
   6*a^4*z^6 + 27*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[13, Alternating, 3043] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 27*z^2 - (6*z^2)/a^4 + (25*z^2)/a^2 + 
   9*a^2*z^2 - 33*z^4 - (4*z^4)/a^4 + (24*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3044] -> -7 + 2/a^6 - 12/a^4 + 18/a^2 - 17*z^2 + 
   (4*z^2)/a^6 - (27*z^2)/a^4 + (46*z^2)/a^2 - 15*z^4 + (3*z^4)/a^6 - 
   (25*z^4)/a^4 + (50*z^4)/a^2 - 6*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (28*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3045] -> 1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3046] -> 
  -1 + 7*a^2 - 8*a^4 + 3*a^6 - 4*z^2 + 22*a^2*z^2 - 31*a^4*z^2 + 12*a^6*z^2 - 
   4*z^4 + 25*a^2*z^4 - 42*a^4*z^4 + 13*a^6*z^4 - z^6 + 12*a^2*z^6 - 
   26*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3047] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 - z^2/a^2 + 
   a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3048] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 10*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (30*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (34*z^4)/a^2 - 
   5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3049] -> 
  1 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3050] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^8 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3051] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3052] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3053] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3054] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - z^4/a^4 + (7*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 3055] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 + 
   a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3056] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3057] -> 
  5 - a^(-4) - 4*a^2 + a^4 + 10*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   7*z^4 - z^4/a^4 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3058] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 22*z^2 + (5*z^2)/a^2 + 30*a^2*z^2 - 
   10*a^4*z^2 - 23*z^4 + (4*z^4)/a^2 + 34*a^2*z^4 - 10*a^4*z^4 - 11*z^6 + 
   z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3059] -> -a^(-16) + 7/a^14 - 14/a^12 + 7/a^10 + 
   2/a^8 + (6*z^2)/a^14 - (28*z^2)/a^12 + (24*z^2)/a^10 + (7*z^2)/a^8 - 
   z^4/a^14 - (15*z^4)/a^12 + (30*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3060] -> -a^(-16) + 6/a^14 - 11/a^12 + 4/a^10 + 
   3/a^8 + (5*z^2)/a^14 - (21*z^2)/a^12 + (14*z^2)/a^10 + (11*z^2)/a^8 - 
   (10*z^4)/a^12 + (16*z^4)/a^10 + (13*z^4)/a^8 + z^4/a^6 + (6*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3061] -> 
  1 + 2*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3062] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3063] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3064] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3065] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3066] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 3067] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3068] -> 2*a^2 - a^4 - 9*z^2 + z^2/a^2 + 16*a^2*z^2 - 
   7*a^4*z^2 - 16*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 9*a^4*z^4 - 10*z^6 + 
   z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3069] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3070] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 3071] -> 
  -11 - 4/a^4 + 12/a^2 + 4*a^2 - 40*z^2 - (8*z^2)/a^4 + (34*z^2)/a^2 + 
   14*a^2*z^2 - 47*z^4 - (5*z^4)/a^4 + (32*z^4)/a^2 + 14*a^2*z^4 - 27*z^6 - 
   z^6/a^4 + (13*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3072] -> -10 - 4/a^4 + 12/a^2 + 2*a^2 + a^4 - 15*z^2 - 
   (4*z^2)/a^4 + (18*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 11*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3073] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 32*z^2 - (3*z^2)/a^4 + (20*z^2)/a^2 + 
   13*a^2*z^2 - 44*z^4 - (3*z^4)/a^4 + (23*z^4)/a^2 + 14*a^2*z^4 - 27*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3074] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3075] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 21*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3076] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 
   4*z^4 - z^4/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3077] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 12*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 3078] -> -1 - 2/a^4 + 4/a^2 - 8*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + 
   (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3079] -> 
  -a^(-4) + 2/a^2 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3080] -> 2*a^2 - a^4 - 10*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 9*a^4*z^4 - 
   10*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3081] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - 
   (18*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3082] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3083] -> -a^(-4) + 2/a^2 - 9*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3084] -> 
  -2 + 6*a^2 - 3*a^4 - 13*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 9*a^4*z^2 - 
   18*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 10*a^4*z^4 - 10*z^6 + z^6/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3085] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 3086] -> 2 - a^(-4) + a^(-2) - a^2 + 
   6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3087] -> 
  3 - a^(-2) - a^2 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3088] -> -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3089] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 + z^2/a^10 + (6*z^2)/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 + z^4/a^8 - 
   (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 3090] -> -a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 2/a^2 + 
   a^2 - z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 3091] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   4*z^2 + (3*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 3092] -> -a^(-14) - 3/a^12 + 5/a^10 - 
   (10*z^2)/a^14 + z^2/a^12 + (25*z^2)/a^10 - (15*z^4)/a^14 + (19*z^4)/a^12 + 
   (41*z^4)/a^10 - (7*z^6)/a^14 + (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[13, Alternating, 3093] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   (6*z^2)/a^14 + (14*z^2)/a^10 + (7*z^2)/a^8 - (5*z^4)/a^14 + (6*z^4)/a^12 + 
   (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3094] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (4*z^2)/a^14 - (2*z^2)/a^12 + (11*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^14 + 
   (3*z^4)/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3095] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (3*z^2)/a^14 - z^2/a^12 + (8*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3096] -> -a^(-14) - a^(-10) + 3/a^8 - (4*z^2)/a^14 - 
   z^2/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3097] -> -a^(-14) + a^(-8) + a^(-6) - (2*z^2)/a^14 - 
   z^2/a^12 + (5*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   z^4/a^12 + (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3098] -> 
  -a^(-14) - a^(-10) + 3/a^8 - (2*z^2)/a^14 - z^2/a^12 + (4*z^2)/a^10 + 
   (10*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (8*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 3099] -> -a^(-14) - a^(-12) + 2/a^10 + 
   a^(-6) - (3*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3100] -> -a^(-14) + a^(-8) + a^(-6) - z^2/a^14 + 
   (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 3101] -> -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - 
   (2*z^2)/a^14 - (3*z^2)/a^12 + (5*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^14 + 
   (15*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3102] -> -a^(-14) + a^(-10) - a^(-8) + 2/a^6 - 
   (2*z^2)/a^14 + z^2/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (5*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3103] -> -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - 
   z^2/a^14 - (3*z^2)/a^12 + (3*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 - z^4/a^12 + (9*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3104] -> -a^(-14) + a^(-10) + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 + (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 3105] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 3*a^2*z^2 + 
   7*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 - 2*a^2*z^4 + 
   8*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6, 
 Knot[13, Alternating, 3106] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3107] -> -a^(-14) - a^(-10) + 3/a^8 - z^2/a^14 - 
   z^2/a^12 + (3*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   (4*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 3108] -> 3 - a^(-2) - a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 
   14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[13, Alternating, 3109] -> 
  -2/a^6 + 3/a^4 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (9*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3110] -> 
  2/a^14 - 9/a^12 + 8/a^10 - (3*z^2)/a^14 - (16*z^2)/a^12 + (32*z^2)/a^10 - 
   (10*z^4)/a^14 + (2*z^4)/a^12 + (46*z^4)/a^10 - (6*z^6)/a^14 + 
   (14*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[13, Alternating, 3111] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - (3*z^2)/a^14 - (6*z^2)/a^12 + 
   (12*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^14 + (2*z^4)/a^12 + 
   (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3112] -> -a^(-12) - 2/a^10 + 4/a^8 - (2*z^2)/a^14 - 
   (4*z^2)/a^12 + (5*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^14 + 
   (15*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3113] -> -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - 
   (6*z^2)/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 + (14*z^2)/a^8 - (5*z^4)/a^14 + 
   (11*z^4)/a^12 + (5*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3114] -> -a^(-14) + a^(-12) - 2/a^10 + 2/a^8 + 
   a^(-6) - (3*z^2)/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (6*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3115] -> -a^(-14) + a^(-12) - a^(-10) + 2/a^6 - 
   (2*z^2)/a^14 + z^2/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (5*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3116] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   z^2/a^14 - (14*z^2)/a^12 + (23*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^14 - 
   (6*z^4)/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3117] -> -2/a^12 + 3/a^8 - z^2/a^14 - (5*z^2)/a^12 + 
   (6*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - z^4/a^14 - z^4/a^12 + 
   (10*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3118] -> 
  -2/a^6 + 3/a^4 + 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3119] -> 
  1 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3120] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - (2*z^2)/a^14 - (2*z^2)/a^12 + (3*z^2)/a^10 + 
   (10*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (8*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 3121] -> -a^(-14) + a^(-12) - a^(-10) + 
   2/a^6 - z^2/a^14 + (2*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 3122] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3123] -> -2/a^12 + 2/a^10 - a^(-8) + 
   2/a^6 - (2*z^2)/a^14 - z^2/a^12 + (5*z^2)/a^10 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (6*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3124] -> -a^(-14) + a^(-12) - a^(-10) + a^(-8) + 
   a^(-4) - z^2/a^14 + z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 3125] -> a^(-14) - 5/a^12 + 3/a^10 + 
   2/a^8 - z^2/a^14 - (12*z^2)/a^12 + (18*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^4)/a^14 - (5*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[13, Alternating, 3126] -> -3/a^12 + 2/a^10 + 2/a^8 - 
   (13*z^2)/a^12 + (19*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^14 - 
   (8*z^4)/a^12 + (29*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + z^6/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3127] -> -3/a^12 + 3/a^10 + a^(-6) - z^2/a^14 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3128] -> 
  -a^(-14) + a^(-12) - 2/a^10 + 2/a^8 + a^(-6) - z^2/a^14 - (3*z^2)/a^12 + 
   (5*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - z^4/a^12 + 
   (10*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3129] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - z^2/a^14 - (5*z^2)/a^12 + 
   (8*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 - z^4/a^12 + 
   (11*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3130] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - (8*z^2)/a^12 + (5*z^2)/a^10 + 
   (13*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + (11*z^4)/a^10 + (14*z^4)/a^8 + 
   z^4/a^6 + z^6/a^12 + (5*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3131] -> -1 - 2/a^4 + 4/a^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3132] -> 3/a^14 - 11/a^12 + 9/a^10 - 
   (2*z^2)/a^14 - (19*z^2)/a^12 + (33*z^2)/a^10 - (10*z^4)/a^14 + z^4/a^12 + 
   (46*z^4)/a^10 - (6*z^6)/a^14 + (14*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + 
   (7*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[13, Alternating, 3133] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   (3*z^2)/a^14 - (5*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 - (4*z^4)/a^14 + 
   (2*z^4)/a^12 + (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3134] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   (2*z^2)/a^14 - (2*z^2)/a^12 + (4*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^14 + z^4/a^12 + (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3135] -> -a^(-14) + 3/a^12 - 7/a^10 + 6/a^8 - 
   (4*z^2)/a^14 + (6*z^2)/a^12 - (9*z^2)/a^10 + (17*z^2)/a^8 - (4*z^4)/a^14 + 
   (8*z^4)/a^12 + z^4/a^10 + (17*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (4*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3136] -> -a^(-14) + 2/a^12 - 3/a^10 + a^(-8) + 2/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 - z^2/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3137] -> -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (4*z^2)/a^12 + z^2/a^10 + (7*z^2)/a^6 - z^4/a^14 + 
   (4*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 + 
   z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[13, Alternating, 3138] -> 
  -a^(-14) + a^(-12) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 + 
   (2*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 3139] -> -a^(-14) + 2/a^12 - 4/a^10 + 3/a^8 + a^(-6) - 
   z^2/a^14 - z^2/a^12 + (9*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   (6*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3140] -> 
  -2/a^14 + 7/a^12 - 12/a^10 + 8/a^8 - (3*z^2)/a^14 + (8*z^2)/a^12 - 
   (16*z^2)/a^10 + (20*z^2)/a^8 - (3*z^4)/a^14 + (6*z^4)/a^12 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (3*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3141] -> -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 
   4/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 + z^2/a^10 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^12 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3142] -> -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 + z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 + z^4/a^8 + z^4/a^6 + z^4/a^4, 
 Knot[13, Alternating, 3143] -> -a^(-14) + a^(-12) + a^(-2) + z^2/a^12 + 
   z^2/a^10 + z^2/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2, 
 Knot[13, Alternating, 3144] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + z^2 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3145] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - 
   z^2/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3146] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3147] -> 2 - a^(-4) + a^(-2) - a^2 + 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3148] -> 
  1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*z^6 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3149] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3150] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3151] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^6 - z^2/a^4 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3152] -> 
  -3/a^6 + 5/a^4 - a^(-2) - (2*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^8 + (9*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3153] -> 
  -2/a^6 + 3/a^4 - z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3154] -> 
  3 - 4*a^2 + 2*a^4 + 2*z^2 - 7*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3155] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 3156] -> a^2 + a^4 - a^6 + 6*a^2*z^2 - 10*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 8*a^2*z^4 - 24*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 + 
   5*a^2*z^6 - 19*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3157] -> 
  2*a^2 - a^4 + 2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - 4*a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3158] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + 6*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 9*a^2*z^4 - 26*a^4*z^4 + 17*a^6*z^4 - 3*a^8*z^4 + 5*a^2*z^6 - 
   20*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3159] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3160] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6, Knot[13, Alternating, 3161] -> -15 + 5/a^2 + 17*a^2 - 6*a^4 - 
   42*z^2 + (14*z^2)/a^2 + 38*a^2*z^2 - 9*a^4*z^2 - 47*z^4 + (14*z^4)/a^2 + 
   33*a^2*z^4 - 5*a^4*z^4 - 27*z^6 + (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3162] -> 
  -11 + 4/a^2 + 12*a^2 - 4*a^4 - 36*z^2 + (12*z^2)/a^2 + 32*a^2*z^2 - 
   8*a^4*z^2 - 43*z^4 + (13*z^4)/a^2 + 31*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + 
   (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3163] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 8*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3164] -> 
  -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 - (10*z^2)/a^8 + (33*z^2)/a^6 - 
   (34*z^2)/a^4 + (11*z^2)/a^2 - (12*z^4)/a^8 + (40*z^4)/a^6 - (34*z^4)/a^4 + 
   (6*z^4)/a^2 - (6*z^6)/a^8 + (25*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 3165] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3166] -> -15 + 5/a^2 + 17*a^2 - 6*a^4 - 42*z^2 + 
   (14*z^2)/a^2 + 38*a^2*z^2 - 9*a^4*z^2 - 47*z^4 + (14*z^4)/a^2 + 
   33*a^2*z^4 - 5*a^4*z^4 - 27*z^6 + (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3167] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (5*z^2)/a^8 + (21*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - (33*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3168] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3169] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (21*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (33*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3170] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   9*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3171] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 27*z^2 - 
   (7*z^2)/a^4 + (24*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - (9*z^4)/a^4 + 
   (30*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3172] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3173] -> -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 - 
   (6*z^2)/a^8 + (29*z^2)/a^6 - (38*z^2)/a^4 + (15*z^2)/a^2 - (4*z^4)/a^8 + 
   (28*z^4)/a^6 - (46*z^4)/a^4 + (14*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - 
   (27*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3174] -> 3 - 3/a^8 + 8/a^6 - 5/a^4 - 
   2/a^2 + 6*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (11*z^2)/a^4 - (8*z^2)/a^2 + 
   4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3175] -> 2 - 4/a^8 + 10/a^6 - 7/a^4 + 5*z^2 - 
   (4*z^2)/a^8 + (21*z^2)/a^6 - (19*z^2)/a^4 - (2*z^2)/a^2 + 4*z^4 - 
   z^4/a^8 + (14*z^4)/a^6 - (22*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3176] -> 2 - 2/a^10 + 3/a^8 + 2/a^6 - 4/a^4 + 3*z^2 - 
   z^2/a^10 + (7*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[13, Alternating, 3177] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   5*z^2 + 19*a^2*z^2 - 21*a^4*z^2 + 7*a^6*z^2 - 8*z^4 + 26*a^2*z^4 - 
   25*a^4*z^4 + 5*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3178] -> 
  4*a^2 - 5*a^4 + 2*a^6 + z^2 - z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3179] -> 
  -17 - 8/a^4 + 21/a^2 + 5*a^2 - 45*z^2 - (12*z^2)/a^4 + (46*z^2)/a^2 + 
   14*a^2*z^2 - 48*z^4 - (6*z^4)/a^4 + (38*z^4)/a^2 + 14*a^2*z^4 - 27*z^6 - 
   z^6/a^4 + (14*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3180] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 24*z^2 + 
   (7*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 30*z^4 + (9*z^4)/a^2 + 27*a^2*z^4 - 
   5*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3181] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + (3*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3182] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 + (8*z^4)/a^6 - 
   (26*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3183] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3184] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 
   19*a^2*z^2 - 21*a^4*z^2 + 7*a^6*z^2 - 8*z^4 + 26*a^2*z^4 - 25*a^4*z^4 + 
   5*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3185] -> 
  4*a^2 - 5*a^4 + 2*a^6 + z^2 - z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3186] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 27*z^2 - (7*z^2)/a^4 + (24*z^2)/a^2 + 
   8*a^2*z^2 - 27*z^4 - (9*z^4)/a^4 + (30*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3187] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 
   2*a^4 - 2*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 
   2*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3188] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (21*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (33*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3189] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   9*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3190] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (21*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (33*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3191] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   9*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3192] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 + (8*z^4)/a^6 - 
   (26*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3193] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3194] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 24*z^2 + 
   (7*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 30*z^4 + (9*z^4)/a^2 + 27*a^2*z^4 - 
   5*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3195] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + (3*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3196] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 9*a^2*z^2 - 
   24*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 + 9*a^2*z^4 - 30*a^4*z^4 + 
   22*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3197] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 - 
   5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3198] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 23*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 
   7*a^2*z^2 - 25*z^4 - (8*z^4)/a^4 + (27*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3199] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3200] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 7*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + 9*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 3*a^8*z^4 + 5*a^2*z^6 - 
   20*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3201] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3202] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   3*z^4 - 7*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3203] -> 
  1 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 
   4*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 3204] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + 
   (18*z^4)/a^6 - (27*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3205] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3206] -> -3/a^8 + 12/a^6 - 16/a^4 + 8/a^2 - 
   (10*z^2)/a^8 + (34*z^2)/a^6 - (38*z^2)/a^4 + (12*z^2)/a^2 - (12*z^4)/a^8 + 
   (40*z^4)/a^6 - (35*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (25*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 3207] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - 
   (7*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + 
   (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3208] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + (7*z^2)/a^2 + 19*a^2*z^2 - 
   5*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3209] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (8*z^4)/a^4 + (24*z^4)/a^2 + 
   4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3210] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - (25*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 3211] -> 
  -13 - 6/a^4 + 16/a^2 + 4*a^2 - 37*z^2 - (9*z^2)/a^4 + (36*z^2)/a^2 + 
   12*a^2*z^2 - 43*z^4 - (5*z^4)/a^4 + (32*z^4)/a^2 + 13*a^2*z^4 - 26*z^6 - 
   z^6/a^4 + (13*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3212] -> 4/a^10 - 15/a^8 + 16/a^6 - 4/a^4 + 
   (6*z^2)/a^10 - (32*z^2)/a^8 + (44*z^2)/a^6 - (12*z^2)/a^4 + (4*z^4)/a^10 - 
   (28*z^4)/a^8 + (48*z^4)/a^6 - (13*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + 
   (27*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 3213] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (8*z^4)/a^4 + 
   (24*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3214] -> 
  -10 - 3/a^4 + 10/a^2 + 4*a^2 - 31*z^2 - (11*z^2)/a^4 + (33*z^2)/a^2 + 
   8*a^2*z^2 - 31*z^4 - (13*z^4)/a^4 + (42*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - 
   (6*z^6)/a^4 + (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3215] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 
   2*a^4 - 2*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 
   4*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3216] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - 
   (25*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3217] -> -8 - a^(-6) + a^(-4) + 5/a^2 + 4*a^2 - 
   16*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, Alternating, 3218] -> -1 - a^(-6) + 2/a^4 + a^(-2) - 2*a^2 + 
   2*a^4 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 3219] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + (18*z^4)/a^6 - (27*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3220] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3221] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + 
   (7*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3222] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 4*z^2 + (8*z^2)/a^6 - (23*z^2)/a^4 + (17*z^2)/a^2 - 
   4*z^4 + (9*z^4)/a^6 - (30*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (5*z^6)/a^6 - 
   (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3223] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   19*z^2 - (7*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + 
   (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3224] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (9*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3225] -> 4 - 2/a^8 + 6/a^6 - 3/a^4 - 4/a^2 + 4*z^2 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3226] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3227] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 26*z^2 - 
   (6*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - (9*z^4)/a^4 + 
   (29*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3228] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 24*a^2*z^2 - 23*a^4*z^2 + 7*a^6*z^2 - 
   9*z^4 + 30*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3229] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 5*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3230] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (15*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 3231] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 
   2*a^6 + 6*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3232] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - 
   (21*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^8 + (20*z^4)/a^6 - (31*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3233] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 5*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3234] -> 2/a^10 - 7/a^8 + 6/a^6 + (5*z^2)/a^10 - 
   (20*z^2)/a^8 + (23*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (30*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 3235] -> -3 + 12*a^2 - 12*a^4 + 4*a^6 - 8*z^2 + 
   28*a^2*z^2 - 28*a^4*z^2 + 8*a^6*z^2 - 9*z^4 + 31*a^2*z^4 - 27*a^4*z^4 + 
   5*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3236] -> 
  6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 10*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3237] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 29*z^2 + 
   (9*z^2)/a^2 + 29*a^2*z^2 - 8*a^4*z^2 - 34*z^4 + (10*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3238] -> 
  2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + 3*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (10*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 3239] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 29*z^2 + (9*z^2)/a^2 + 29*a^2*z^2 - 
   8*a^4*z^2 - 34*z^4 + (10*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 21*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3240] -> 3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3241] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3242] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3243] -> -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 - 
   (8*z^2)/a^8 + (31*z^2)/a^6 - (32*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^8 + 
   (31*z^4)/a^6 - (42*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - 
   (26*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3244] -> -2/a^10 + 3/a^8 + 2/a^6 - 6/a^4 + 
   4/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - z^2/a^6 - (13*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - z^8/a^4, Knot[13, Alternating, 3245] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 21*z^2 + (6*z^2)/a^2 + 26*a^2*z^2 - 
   8*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3246] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 26*z^2 - 
   (6*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - (9*z^4)/a^4 + 
   (29*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3247] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 24*a^2*z^2 - 23*a^4*z^2 + 7*a^6*z^2 - 
   9*z^4 + 30*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3248] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 
   (6*z^2)/a^8 + (21*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (28*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3249] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 
   25*z^2 + (7*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 30*z^4 + (9*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3250] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3251] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3252] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3253] -> 3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3254] -> 2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + 3*z^2 - 
   (4*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3255] -> 4 - 2/a^8 + 6/a^6 - 3/a^4 - 4/a^2 + 4*z^2 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3256] -> -3 - a^(-2) + 13*a^2 - 10*a^4 + 2*a^6 - 
   5*z^2 - (2*z^2)/a^2 + 27*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - z^4 - 
   (2*z^4)/a^2 + 23*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[13, Alternating, 3257] -> 
  -17 + 5/a^2 + 21*a^2 - 8*a^4 - 45*z^2 + (14*z^2)/a^2 + 46*a^2*z^2 - 
   12*a^4*z^2 - 48*z^4 + (14*z^4)/a^2 + 38*a^2*z^4 - 6*a^4*z^4 - 27*z^6 + 
   (6*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3258] -> -13 + 4/a^2 + 16*a^2 - 6*a^4 - 33*z^2 + 
   (10*z^2)/a^2 + 34*a^2*z^2 - 9*a^4*z^2 - 35*z^4 + (10*z^4)/a^2 + 
   29*a^2*z^4 - 5*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3259] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - 
   (21*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^8 + (20*z^4)/a^6 - (31*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3260] -> -14 - 5/a^4 + 15/a^2 + 5*a^2 - 40*z^2 - 
   (7*z^2)/a^4 + (33*z^2)/a^2 + 14*a^2*z^2 - 46*z^4 - (4*z^4)/a^4 + 
   (29*z^4)/a^2 + 14*a^2*z^4 - 27*z^6 - z^6/a^4 + (12*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3261] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (6*z^2)/a^8 + (21*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - (28*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3262] -> 2/a^10 - 7/a^8 + 6/a^6 + (5*z^2)/a^10 - 
   (20*z^2)/a^8 + (23*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (30*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 3263] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3264] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 3265] -> 
  -4 + 3/a^6 - 11/a^4 + 13/a^2 - 8*z^2 + (8*z^2)/a^6 - (27*z^2)/a^4 + 
   (29*z^2)/a^2 - 5*z^4 + (9*z^4)/a^6 - (31*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 3266] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   18*z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3267] -> -3 + 12*a^2 - 12*a^4 + 4*a^6 - 8*z^2 + 
   28*a^2*z^2 - 28*a^4*z^2 + 8*a^6*z^2 - 9*z^4 + 31*a^2*z^4 - 27*a^4*z^4 + 
   5*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3268] -> 
  6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 10*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3269] -> 2 - 4/a^8 + 9/a^6 - 5/a^4 - a^(-2) + 5*z^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 - (6*z^2)/a^2 + 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3270] -> 2 - 2/a^10 + 3/a^8 + a^(-6) - 2/a^4 - 
   a^(-2) + 3*z^2 - z^2/a^10 + (6*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, Alternating, 3271] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3272] -> -1 + 4*a^2 - 2*a^4 - z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 3273] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 
   2*a^6 + 6*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3274] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 8*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 - 10*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (30*z^4)/a^2 - 
   5*z^6 + z^6/a^6 - (9*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3275] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   18*z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3276] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 3277] -> 
  -4 + 3/a^6 - 11/a^4 + 13/a^2 - 8*z^2 + (8*z^2)/a^6 - (27*z^2)/a^4 + 
   (29*z^2)/a^2 - 5*z^4 + (9*z^4)/a^6 - (31*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 3278] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 3279] -> 
  -13 + 4/a^2 + 16*a^2 - 6*a^4 - 33*z^2 + (10*z^2)/a^2 + 34*a^2*z^2 - 
   9*a^4*z^2 - 35*z^4 + (10*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 21*z^6 + 
   (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3280] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3281] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 25*z^2 + 
   (7*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 30*z^4 + (9*z^4)/a^2 + 28*a^2*z^4 - 
   5*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3282] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3283] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (15*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 3284] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 
   21*z^2 + (6*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 
   27*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3285] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3286] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3287] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 8*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (30*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3288] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3289] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 7*z^2 + 24*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 
   5*z^4 + 25*a^2*z^4 - 27*a^4*z^4 + 8*a^6*z^4 - z^6 + 12*a^2*z^6 - 
   19*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3290] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 + 
   a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3291] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 
   6*z^4 + 19*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3292] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*a^2*z^2 - 
   15*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 
   15*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3293] -> 3 - 4*a^2 + 2*a^4 - a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 5*z^4 + 12*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - 4*z^6 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3294] -> 4 - a^(-2) - 3*a^2 + a^4 - z^2 + z^2/a^2 - 
   13*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3295] -> 3 - 4*a^2 + 2*a^4 - a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 5*z^4 + 12*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - 4*z^6 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3296] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 18*a^2*z^2 - 
   18*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 28*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 
   5*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3297] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 
   z^2 - a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 
   6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 3298] -> 
  4 - a^(-2) - 3*a^2 + a^4 - z^2 + z^2/a^2 - 13*z^4 + (5*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3299] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3300] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 
   4*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 3301] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*a^2*z^2 - 
   15*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 
   15*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3302] -> -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 3303] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 
   6*z^4 + 19*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3304] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 7*a^2*z^2 - 
   17*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 26*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3305] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 3306] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   8*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 3307] -> -1 + a^(-2) + a^2 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - 
   a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 3308] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (6*z^2)/a^8 + (26*z^2)/a^6 - (30*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^8 + 
   (27*z^4)/a^6 - (41*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - 
   (26*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3309] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   (5*z^2)/a^10 - (25*z^2)/a^8 + (35*z^2)/a^6 - (9*z^2)/a^4 + (4*z^4)/a^10 - 
   (26*z^4)/a^8 + (43*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + 
   (26*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 3310] -> a^(-10) - 5/a^8 + 5/a^6 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3311] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 29*z^2 - 
   (9*z^2)/a^4 + (28*z^2)/a^2 + 8*a^2*z^2 - 30*z^4 - (12*z^4)/a^4 + 
   (38*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3312] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 10*z^2 + 31*a^2*z^2 - 26*a^4*z^2 + 
   7*a^6*z^2 - 12*z^4 + 39*a^2*z^4 - 29*a^4*z^4 + 5*a^6*z^4 - 6*z^6 + 
   25*a^2*z^6 - 13*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3313] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 
   2*a^6 + 4*z^2 - (3*z^2)/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3314] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 28*z^2 + (9*z^2)/a^2 + 29*a^2*z^2 - 
   8*a^4*z^2 - 38*z^4 + (12*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + 
   (6*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3315] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3316] -> 
  -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 15*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, Alternating, 3317] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (6*z^2)/a^4 + (18*z^2)/a^2 + 
   5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3318] -> 2 - 3/a^8 + 7/a^6 - 4/a^4 - 
   a^(-2) + 5*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 - (6*z^2)/a^2 + 
   4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3319] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 10*z^2 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3320] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (6*z^2)/a^4 + (18*z^2)/a^2 + 
   5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3321] -> -4 + 14*a^2 - 13*a^4 + 4*a^6 - 
   12*z^2 + 37*a^2*z^2 - 32*a^4*z^2 + 8*a^6*z^2 - 13*z^4 + 43*a^2*z^4 - 
   31*a^4*z^4 + 5*a^6*z^4 - 6*z^6 + 26*a^2*z^6 - 13*a^4*z^6 + a^6*z^6 - z^8 + 
   8*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3322] -> 
  -a^(-4) + 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 3323] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 18*z^2 + 
   (6*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 28*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3324] -> 
  -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 7*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - (4*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3325] -> -3 - a^(-6) + 2/a^4 + 2/a^2 - a^2 + 2*a^4 - 
   5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[13, Alternating, 3326] -> -2/a^12 + 6/a^10 - 9/a^8 + 
   6/a^6 - (7*z^2)/a^12 + (23*z^2)/a^10 - (27*z^2)/a^8 + (17*z^2)/a^6 - 
   (5*z^4)/a^12 + (28*z^4)/a^10 - (35*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^12 + 
   (13*z^6)/a^10 - (24*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, Alternating, 3327] -> 
  -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^12 + (10*z^2)/a^10 - 
   (7*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 3328] -> 
  2 - a^(-6) + 3/a^4 - 2/a^2 - 3*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 3329] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - (3*z^2)/a^12 + (8*z^2)/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 3330] -> a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - 
   (17*z^2)/a^8 + (22*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (30*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 3331] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + 
   (22*z^4)/a^6 - (28*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3332] -> -11 + 3/a^2 + 15*a^2 - 6*a^4 - 
   30*z^2 + (9*z^2)/a^2 + 33*a^2*z^2 - 9*a^4*z^2 - 34*z^4 + (10*z^4)/a^2 + 
   29*a^2*z^4 - 5*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3333] -> 
  -15 + 4/a^2 + 20*a^2 - 8*a^4 - 40*z^2 + (12*z^2)/a^2 + 44*a^2*z^2 - 
   12*a^4*z^2 - 44*z^4 + (13*z^4)/a^2 + 37*a^2*z^4 - 6*a^4*z^4 - 26*z^6 + 
   (6*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3334] -> -2 + a^(-4) - 2/a^2 + 8*a^2 - 4*a^4 - 5*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3335] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (22*z^4)/a^6 - (28*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3336] -> -3/a^12 + 10/a^10 - 14/a^8 + 8/a^6 - 
   (7*z^2)/a^12 + (27*z^2)/a^10 - (35*z^2)/a^8 + (20*z^2)/a^6 - 
   (5*z^4)/a^12 + (29*z^4)/a^10 - (40*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^12 + 
   (13*z^6)/a^10 - (25*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, Alternating, 3337] -> 
  -2/a^12 + 4/a^10 - a^(-8) - 4/a^6 + 4/a^4 - (3*z^2)/a^12 + (10*z^2)/a^10 - 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - 
   (5*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 3338] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 6/a^10 + 2/a^8 + (4*z^2)/a^14 - 
   (23*z^2)/a^12 + (22*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^14 - 
   (11*z^4)/a^12 + (29*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + z^6/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3339] -> 2 - a^(-6) + 3/a^4 - 2/a^2 - 3*a^2 + 2*a^4 + 
   6*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   8*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 3340] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - (3*z^2)/a^12 + (8*z^2)/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 3341] -> -11 + 3/a^2 + 15*a^2 - 6*a^4 - 30*z^2 + 
   (9*z^2)/a^2 + 33*a^2*z^2 - 9*a^4*z^2 - 34*z^4 + (10*z^4)/a^2 + 
   29*a^2*z^4 - 5*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3342] -> 
  -2/a^12 + 4/a^10 - 2/a^8 - a^(-4) + 2/a^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[13, Alternating, 3343] -> -15 + 4/a^2 + 20*a^2 - 8*a^4 - 40*z^2 + 
   (12*z^2)/a^2 + 44*a^2*z^2 - 12*a^4*z^2 - 44*z^4 + (13*z^4)/a^2 + 
   37*a^2*z^4 - 6*a^4*z^4 - 26*z^6 + (6*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3344] -> 
  -2 + a^(-4) - 2/a^2 + 8*a^2 - 4*a^4 - 5*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3345] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3346] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3347] -> 4 + a^(-4) - 3/a^2 - a^2 - z^2 + 
   a^2*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3348] -> 5 - 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3349] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   18*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 - (4*z^4)/a^4 + 
   (22*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3350] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3351] -> 5 - 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3352] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   9*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3353] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 3354] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3355] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 6*a^4*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 
   2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3356] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3357] -> 2 - a^2 - a^4 + a^6 - 3*z^2 + 8*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 22*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 
   5*z^6 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3358] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 
   a^4*z^2 + 9*a^6*z^2 - 12*a^8*z^2 + 4*a^10*z^2 - 6*a^4*z^4 + 21*a^6*z^4 - 
   19*a^8*z^4 + 4*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - 
   a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 3359] -> a^2 + a^4 - 2*a^8 + a^10 + 2*a^4*z^2 + 
   3*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 3360] -> 
  a^2 + a^4 - a^6 + 5*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   8*a^2*z^4 - 23*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3361] -> 2*a^2 - a^4 + z^2 + a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3362] -> a^(-2) - a^4 + a^6 + z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 3363] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 18*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3364] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 3365] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 18*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3366] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 + 10*a^6*z^2 - 13*a^8*z^2 + 4*a^10*z^2 - 
   7*a^4*z^4 + 24*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 - 5*a^4*z^6 + 
   19*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[13, Alternating, 3367] -> 1 + a^6 - 2*a^8 + a^10 - z^2 + 
   a^2*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 3368] -> 2*a^2 - a^4 + 5*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 + 
   4*a^2*z^6 - 15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3369] -> 
  3*a^4 - 2*a^6 + 5*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 - 4*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 3370] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   z^4 + 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 3371] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^8 + 
   (18*z^4)/a^6 - (28*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3372] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3373] -> -12 - 5/a^4 + 14/a^2 + 4*a^2 - 37*z^2 - 
   (7*z^2)/a^4 + (32*z^2)/a^2 + 13*a^2*z^2 - 45*z^4 - (4*z^4)/a^4 + 
   (29*z^4)/a^2 + 14*a^2*z^4 - 27*z^6 - z^6/a^4 + (12*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3374] -> 
  -2 - 3/a^4 + 6/a^2 - 8*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3375] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (22*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + 
   (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3376] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - (3*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^8 + (9*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3377] -> 
  -2/a^16 + 10/a^14 - 19/a^12 + 12/a^10 - z^2/a^16 + (9*z^2)/a^14 - 
   (37*z^2)/a^12 + (40*z^2)/a^10 - (4*z^4)/a^14 - (16*z^4)/a^12 + 
   (51*z^4)/a^10 - (5*z^6)/a^14 + (7*z^6)/a^12 + (31*z^6)/a^10 - z^8/a^14 + 
   (6*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[13, Alternating, 3378] -> -a^(-16) + 4/a^14 - 6/a^12 + 4/a^8 + 
   z^2/a^14 - (10*z^2)/a^12 + (7*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^14 - 
   (2*z^4)/a^12 + (15*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3379] -> -a^(-16) + 5/a^14 - 10/a^12 + 5/a^10 + 
   2/a^8 + (3*z^2)/a^14 - (20*z^2)/a^12 + (21*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^14 - (10*z^4)/a^12 + (29*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + 
   z^6/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[13, Alternating, 3380] -> -2/a^16 + 10/a^14 - 19/a^12 + 
   12/a^10 - z^2/a^16 + (9*z^2)/a^14 - (37*z^2)/a^12 + (40*z^2)/a^10 - 
   (4*z^4)/a^14 - (16*z^4)/a^12 + (51*z^4)/a^10 - (5*z^6)/a^14 + 
   (7*z^6)/a^12 + (31*z^6)/a^10 - z^8/a^14 + (6*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[13, Alternating, 3381] -> 
  -a^(-16) + 4/a^14 - 6/a^12 + 4/a^8 + z^2/a^14 - (10*z^2)/a^12 + 
   (7*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^14 - (2*z^4)/a^12 + 
   (15*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 3382] -> 1 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 - 23*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3383] -> -a^(-8) + 2/a^4 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (19*z^4)/a^6 - 
   (20*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3384] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3385] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 - 
   8*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3386] -> -1 - a^(-6) + 3/a^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3387] -> -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 3388] -> -a^(-4) + 2/a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3389] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3390] -> -a^(-4) + 2/a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3391] -> 
  -2/a^6 + 3/a^4 - (4*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (11*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3392] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - 
   z^6/a^4 - z^6/a^2, Knot[13, Alternating, 3393] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 
   6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3394] -> 2*a^2 - a^4 + 5*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 + 
   4*a^2*z^6 - 15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3395] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   6*z^4 + 18*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3396] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 18*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   4*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3397] -> -a^(-8) + 2/a^4 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3398] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3399] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 
   6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3400] -> -a^(-4) + 2/a^2 - 9*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3401] -> 
  -a^(-4) + 2/a^2 - 9*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3402] -> 3 - 4*a^2 + 2*a^4 - a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 5*z^4 + 12*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - 4*z^6 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3403] -> 4 - a^(-2) - 3*a^2 + a^4 - z^2 + z^2/a^2 - 
   13*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3404] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 4*z^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 6*z^4 + 19*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3405] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3406] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 
   18*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 28*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3407] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 + (5*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   20*z^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3408] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3409] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3410] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   4*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 6*z^4 + 19*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3411] -> 
  5 - 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3412] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3413] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3414] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   18*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 - (4*z^4)/a^4 + 
   (22*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3415] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 - 9*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3416] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3417] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3418] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   13*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3419] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 9*a^2*z^2 - 24*a^4*z^2 + 20*a^6*z^2 - 
   5*a^8*z^2 + 9*a^2*z^4 - 30*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 
   20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3420] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 
   2*z^2 - 3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   4*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3421] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 23*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 
   7*a^2*z^2 - 25*z^4 - (8*z^4)/a^4 + (27*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3422] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3423] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 8*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + 
   (25*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + (30*z^4)/a^2 - 5*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3424] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3425] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 7*z^2 + 
   24*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 5*z^4 + 25*a^2*z^4 - 27*a^4*z^4 + 
   8*a^6*z^4 - z^6 + 12*a^2*z^6 - 19*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3426] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3427] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + 2*a^2*z^2 - 
   3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3428] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 
   3*z^6 + z^6/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3429] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 3*z^2 - z^2/a^4 - a^2*z^2 - 8*z^4 - 
   (5*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3430] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^4 + 2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3431] -> 6*a^2 - 11*a^4 + 8*a^6 - 2*a^8 + 13*a^2*z^2 - 
   33*a^4*z^2 + 24*a^6*z^2 - 5*a^8*z^2 + 13*a^2*z^4 - 42*a^4*z^4 + 
   26*a^6*z^4 - 4*a^8*z^4 + 6*a^2*z^6 - 26*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3432] -> 2 - 4*a^4 + 4*a^6 - a^8 + 3*z^2 - 3*a^2*z^2 - 
   9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 8*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 3433] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 
   27*z^2 - (10*z^2)/a^4 + (31*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 - (12*z^4)/a^4 + 
   (39*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3434] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 4*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3435] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 12*a^6*z^4 - 
   3*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3436] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3437] -> 
  1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3438] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3439] -> -2/a^6 + 3/a^4 - z^2/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3440] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 + 2*a^2*z^2 + 
   a^4*z^2 - 5*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 4*z^6 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3441] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3442] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3443] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 
   8*z^4 + 24*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3444] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 + 
   a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 
   2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 3445] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^6 - z^2/a^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 3446] -> 
  a^2 + a^4 - a^6 + 3*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   5*a^2*z^4 - 15*a^4*z^4 + 13*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3447] -> 2*a^2 - a^4 + z^2 - a^2*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3448] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*z^6 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3449] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (8*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3450] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3451] -> 
  3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 5*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (10*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (10*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3452] -> 
  1 - 4/a^8 + 10/a^6 - 8/a^4 + 2/a^2 + 4*z^2 - (4*z^2)/a^8 + (23*z^2)/a^6 - 
   (24*z^2)/a^4 + (3*z^2)/a^2 + 4*z^4 - z^4/a^8 + (15*z^4)/a^6 - 
   (26*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 - 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 3453] -> 
  1 - 2/a^10 + 3/a^8 + 2/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - z^2/a^10 + 
   (8*z^2)/a^8 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[13, Alternating, 3454] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 
   2/a^2 + a^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   z^4 + (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[13, Alternating, 3455] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 
   2/a^2 + 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 
   a^2*z^2 + (3*z^4)/a^6 - (5*z^4)/a^4 - (9*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2, Knot[13, Alternating, 3456] -> 
  2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2, Knot[13, Alternating, 3457] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 + 2*a^4*z^2 + 6*a^6*z^2 - 11*a^8*z^2 + 
   4*a^10*z^2 - 6*a^4*z^4 + 20*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 - 
   5*a^4*z^6 + 18*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[13, Alternating, 3458] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 3459] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3460] -> 6*a^6 - 10*a^8 + 8*a^10 - 3*a^12 + 
   17*a^6*z^2 - 27*a^8*z^2 + 24*a^10*z^2 - 7*a^12*z^2 + 17*a^6*z^4 - 
   35*a^8*z^4 + 28*a^10*z^4 - 5*a^12*z^4 + 7*a^6*z^6 - 24*a^8*z^6 + 
   13*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[13, Alternating, 3461] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 5*a^4*z^2 - 
   6*a^8*z^2 + 10*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 4*a^6*z^4 - 6*a^8*z^4 + 
   8*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 3462] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 13*a^4*z^2 + 16*a^6*z^2 - 
   5*a^8*z^2 + 8*a^2*z^4 - 24*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 
   19*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3463] -> 2 - 4*a^2 + 4*a^4 - a^8 + 3*z^2 - 
   7*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 7*a^2*z^4 - 
   2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3464] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (8*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3465] -> 4 - 2/a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3466] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3467] -> 
  -1 + a^(-2) + a^2 - 15*z^2 + (6*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   27*z^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3468] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 3469] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   13*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 2*a^4*z^4 - 16*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3470] -> 
  4 - a^(-2) - 3*a^2 + a^4 + a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 
   2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3471] -> 
  5 - 2/a^2 - 2*a^2 + 5*z^2 - z^2/a^4 - 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3472] -> 
  -1 + a^(-2) + a^2 - 12*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 21*z^4 + 
   (7*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 16*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3473] -> a^(-2) - a^2 + a^4 - 13*z^2 + (6*z^2)/a^2 + 
   5*a^2*z^2 - 26*z^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3474] -> -2 + 2/a^2 + a^4 - 7*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 3475] -> a^(-2) - a^2 + a^4 - 5*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3476] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 + z^2/a^4 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 3477] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^2 - 
   7*z^4 - z^4/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3478] -> -1 - 2/a^4 + 4/a^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + (2*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3479] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3480] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3481] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 3482] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3483] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^2 - z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 3484] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - z^4 - (3*z^4)/a^8 + (4*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 3485] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[13, Alternating, 3486] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[13, Alternating, 3487] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 3488] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - z^2 + a^2*z^2 - 5*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + 
   2*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3489] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   4*z^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3490] -> 
  4*a^2 - 5*a^4 + 2*a^6 - (2*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + 
   2*z^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[13, Alternating, 3491] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 3492] -> -5 + 3/a^2 + 3*a^2 - 18*z^2 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[13, Alternating, 3493] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   3*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 
   14*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3494] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3495] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 4*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (19*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (21*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3496] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 4*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3497] -> 4*a^4 - 3*a^6 - a^8 + a^10 - a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   8*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 3498] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 2*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (14*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, Alternating, 3499] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 
   27*z^2 + (9*z^2)/a^2 + 24*a^2*z^2 - 6*a^4*z^2 - 33*z^4 + (10*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3500] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3501] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 20*z^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3502] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 17*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 
   6*z^4 + 21*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3503] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 - 
   (9*z^2)/a^4 + (26*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 - (10*z^4)/a^4 + 
   (33*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3504] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3505] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3506] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 16*a^4*z^2 + 17*a^6*z^2 - 
   5*a^8*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3507] -> 2 - a^2 - a^4 + a^6 - 2*z^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 6*z^4 + 17*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3508] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 26*z^2 + (8*z^2)/a^2 + 26*a^2*z^2 - 
   7*a^4*z^2 - 32*z^4 + (10*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3509] -> -10 - 3/a^4 + 10/a^2 + 4*a^2 - 32*z^2 - 
   (6*z^2)/a^4 + (26*z^2)/a^2 + 11*a^2*z^2 - 37*z^4 - (4*z^4)/a^4 + 
   (25*z^4)/a^2 + 11*a^2*z^4 - 22*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3510] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (22*z^2)/a^2 - 7*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3511] -> 1 - 4/a^8 + 9/a^6 - 6/a^4 + 
   a^(-2) + 3*z^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + 
   3*z^4 - z^4/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3512] -> 1 - 2/a^10 + 3/a^8 + a^(-6) - 3/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^10 + (7*z^2)/a^8 - (8*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 3513] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (16*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 3514] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[13, Alternating, 3515] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 6*a^2*z^2 - 
   16*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3516] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + (6*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 3517] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 
   10*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3518] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + 
   (7*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3519] -> 
  2 + a^(-4) - 2/a^2 + z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3520] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 3521] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3522] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3523] -> -3 + 2/a^2 + 2*a^2 - 18*z^2 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 28*z^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   20*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 3524] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3525] -> a^2 + a^6 - a^8 + z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 3526] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3527] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 3528] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*z^4 + z^4/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 3529] -> a^(-8) - a^(-6) + a^2 - 3*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 3530] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 2*a^4*z^2 + 
   10*a^6*z^2 - 14*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 + 
   4*a^6*z^4 - 15*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   9*a^8*z^6 + 3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[13, Alternating, 3531] -> 2*a^4 - a^6 + a^10 - a^12 + a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 
   5*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 3532] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3533] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[13, Alternating, 3534] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   9*z^4 + 28*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3535] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3536] -> 
  a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 5*a^2*z^2 - 13*a^4*z^2 + 20*a^6*z^2 - 
   6*a^8*z^2 + 8*a^2*z^4 - 24*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 
   19*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3537] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 
   a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 3538] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 
   z^2 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 3539] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 
   27*z^2 + (9*z^2)/a^2 + 24*a^2*z^2 - 6*a^4*z^2 - 33*z^4 + (10*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3540] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3541] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 3542] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3543] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3544] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (19*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + 
   (22*z^4)/a^6 - (29*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3545] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + 
   3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3546] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (10*z^4)/a^8 + (14*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3547] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 3548] -> 2 - 3*a^4 + 2*a^6 - 3*z^2 + 10*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - 8*z^4 + 23*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   5*z^6 + 19*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3549] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 + 
   z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3550] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[13, Alternating, 3551] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   9*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 3552] -> 
  a^2 + a^4 - a^6 + z^2 - a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   2*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 3553] -> 4*a^4 - 3*a^6 - a^8 + a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   10*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 3554] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 3555] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3556] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 3557] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 24*z^2 + 
   (8*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 32*z^4 + (10*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3558] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 22*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 
   6*a^2*z^2 - 23*z^4 - (9*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3559] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 
   9*z^2 + 26*a^2*z^2 - 21*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + 33*a^2*z^4 - 
   23*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 21*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3560] -> 
  -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 7*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3561] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 6*z^2 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3562] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 19*z^2 + (6*z^2)/a^2 + 21*a^2*z^2 - 
   6*a^4*z^2 - 28*z^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3563] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3564] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 20*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 - 
   4*z^4 + 22*a^2*z^4 - 29*a^4*z^4 + 9*a^6*z^4 - z^6 + 11*a^2*z^6 - 
   20*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3565] -> 3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3566] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 3567] -> 
  2 - 2*a^4 + a^8 - z^2 + 2*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   3*z^4 + 5*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 3568] -> 
  a^(-2) + a^2 - 2*a^4 + a^8 - z^2 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 3569] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 
   16*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3570] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3571] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3572] -> 2*a^2 - a^4 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 3573] -> 4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4 - 2*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 3574] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 22*z^2 + 
   (8*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 31*z^4 + (10*z^4)/a^2 + 
   20*a^2*z^4 - 3*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3575] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 21*z^2 + (6*z^2)/a^2 + 24*a^2*z^2 - 
   7*a^4*z^2 - 28*z^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3576] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 17*z^2 - 
   (6*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (9*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3577] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (16*z^2)/a^6 - z^2/a^2 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 3578] -> 
  1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (13*z^2)/a^4 + 3*z^4 - z^4/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 3579] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (3*z^2)/a^12 + (13*z^2)/a^10 - 
   (15*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (16*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 3580] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 9*z^2 + 
   27*a^2*z^2 - 24*a^4*z^2 + 6*a^6*z^2 - 10*z^4 + 33*a^2*z^4 - 24*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 21*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3581] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 7*z^2 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3582] -> a^2 + a^4 - a^6 + 4*a^2*z^2 - 8*a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 18*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 + 
   4*a^2*z^6 - 15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3583] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 
   4*a^8*z^2 + 6*a^2*z^4 - 18*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3584] -> 1 - 2*z^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 16*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 - 
   4*z^6 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3585] -> 2*a^2 - a^4 - 3*z^2 + z^2/a^4 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 3586] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 12*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 20*a^2*z^4 - 14*a^4*z^4 + 2*a^6*z^4 - 
   4*z^6 + 16*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3587] -> -2/a^12 + 5/a^10 - 5/a^8 + 
   a^(-6) + 2/a^4 - (3*z^2)/a^12 + (12*z^2)/a^10 - (11*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (14*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 3588] -> 
  -2/a^12 + 4/a^10 - 2/a^8 - a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (7*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3589] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - (3*z^2)/a^12 + (10*z^2)/a^10 - 
   (13*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (14*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 3590] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3591] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 
   2*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 3592] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 3593] -> -2/a^12 + 3/a^10 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^12 + (5*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3594] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - z^2/a^14 - (10*z^2)/a^12 + 
   (13*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^14 - z^4/a^12 + 
   (14*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3595] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - z^2/a^14 - (4*z^2)/a^12 + 
   (3*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + z^4/a^12 + (5*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 3596] -> 
  1 - 2*a^2 + 6*a^6 - 4*a^8 + 3*z^2 - 6*a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 + z^4 - 7*a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 3597] -> 1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + z^2/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 3598] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 
   4*a^2*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 3599] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 
   8*a^6*z^2 - 8*a^8*z^2 + 7*a^10*z^2 - 2*a^12*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 
   11*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 8*a^8*z^6 + 
   3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 3600] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 3601] -> a^4 + a^6 - a^10 + 5*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 - a^12*z^2 + a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 4*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 3602] -> -6 + 3/a^2 + 3*a^2 + 3*a^4 - 2*a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 10*z^4 + z^4/a^2 + 
   8*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - 2*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 3603] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (6*z^4)/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 3604] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (3*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3605] -> 
  3/a^6 - 7/a^4 + 5/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + 
   (8*z^2)/a^2 - (4*z^4)/a^8 + (19*z^4)/a^6 - (27*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^8 + (11*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3606] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3607] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3608] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - z^4/a^4 + 
   a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[13, Alternating, 3609] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (12*z^6)/a^2 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[13, Alternating, 3610] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 3611] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^6 + (7*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 3612] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - z^2 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4, Knot[13, Alternating, 3613] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 26*z^2 + (9*z^2)/a^2 + 21*a^2*z^2 - 
   5*a^4*z^2 - 33*z^4 + (10*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3614] -> -3 + a^(-4) + 4*a^2 - a^4 - 5*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3615] -> 
  3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3616] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 3617] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^12 + (9*z^2)/a^10 - 
   (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - 
   (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 3618] -> -a^(-6) + 2/a^4 - a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 3619] -> 
  -3 + 2/a^2 + 2*a^2 - 16*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 
   25*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3620] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 3621] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3622] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - z^2/a^6 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 - 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[13, Alternating, 3623] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 + z^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 10*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[13, Alternating, 3624] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 - z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 3625] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 3*z^4 - z^4/a^6 + (5*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[13, Alternating, 3626] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^6 + z^2/a^2 - 3*a^2*z^2 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 3627] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3628] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3629] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + z^2/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 7*a^4*z^4 - 
   8*z^6 + z^6/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3630] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 3631] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3632] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 3633] -> a^2 + a^4 - a^6 - 3*z^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 18*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - 
   z^6 + 11*a^2*z^6 - 18*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3634] -> 
  2*a^2 - a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   z^4/a^2 + a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3635] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - z^4/a^2 - 5*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3636] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6, Knot[13, Alternating, 3637] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 
   a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 
   a^4*z^4 + 17*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 3638] -> a^2 + 2*a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 3639] -> -1 + a^(-2) + a^2 - 10*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3640] -> 
  -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3641] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3642] -> -1 - a^(-6) + 3/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3643] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3644] -> 
  1 - 5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3645] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^8 + (17*z^4)/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3646] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3647] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3648] -> 3 - a^(-2) - a^2 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 3649] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   4*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 3650] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3651] -> 
  4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 
   2*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 3652] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3653] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - (24*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 3654] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3655] -> -a^(-4) + 2/a^2 - 13*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   9*a^2*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3656] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 7*z^4 - z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 3657] -> 1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 16*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3658] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 + z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3659] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 
   6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3660] -> -1 - 2/a^4 + 4/a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 3661] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3662] -> a^(-2) - a^2 + a^4 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3663] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 - 7*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3664] -> a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 - 8*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3665] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3666] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 
   2*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 3667] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 12*a^2*z^2 - 
   17*a^4*z^2 + 7*a^6*z^2 - 3*z^4 + 17*a^2*z^4 - 28*a^4*z^4 + 9*a^6*z^4 - 
   z^6 + 10*a^2*z^6 - 20*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3668] -> 
  2 - a^(-4) + a^(-2) - a^2 - 8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3669] -> 2 - a^(-2) + a^2 - a^4 - 3*z^2 + 9*a^2*z^2 - 
   4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 6*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3670] -> 2*a^2 - a^4 - 10*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + (3*z^4)/a^4 + 12*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[13, Alternating, 3671] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^4 - a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, Knot[13, Alternating, 3672] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3673] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + z^2/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 6*a^4*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3674] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3675] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, Alternating, 3676] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 20*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 
   8*a^4*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3677] -> 
  2*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3678] -> 
  -2 + 2/a^2 + a^4 - z^2/a^6 + z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 3679] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3680] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   2*z^2 + 3*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   a^2*z^4 - 18*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 3681] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 + z^2/a^2 - 
   5*a^2*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^2 - 7*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, Knot[13, Alternating, 3682] -> 
  a^(-2) - a^6 + a^8 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 3683] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[13, Alternating, 3684] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^4 + 3*a^2*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3685] -> 
  2/a^14 - 9/a^12 + 8/a^10 - (2*z^2)/a^14 - (17*z^2)/a^12 + (31*z^2)/a^10 + 
   z^2/a^8 - (4*z^4)/a^14 - (5*z^4)/a^12 + (39*z^4)/a^10 + (6*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (19*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 3686] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - (2*z^2)/a^14 - (7*z^2)/a^12 + 
   (11*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 + (13*z^4)/a^10 + (13*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3687] -> -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^14 - 
   (5*z^2)/a^12 + (4*z^2)/a^10 + (13*z^2)/a^8 - z^4/a^14 - z^4/a^12 + 
   (10*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3688] -> 
  a^2 - 5*a^4 + 11*a^6 - 6*a^8 + 6*a^2*z^2 - 21*a^4*z^2 + 35*a^6*z^2 - 
   12*a^8*z^2 + 5*a^2*z^4 - 27*a^4*z^4 + 41*a^6*z^4 - 12*a^8*z^4 + a^2*z^6 - 
   13*a^4*z^6 + 25*a^6*z^6 - 6*a^8*z^6 - 2*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[13, Alternating, 3689] -> -a^4 + 6*a^6 - 4*a^8 + 2*z^2 - 
   3*a^2*z^2 - a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 3690] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 + 2*z^2 - 5*a^2*z^2 + 5*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + z^4 - 6*a^2*z^4 + 4*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 3691] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 + 
   z^4/a^12 + (4*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 3692] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + a^2*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 3693] -> -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^14 - 
   (3*z^2)/a^12 + (2*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 + z^4/a^12 + 
   (5*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 3694] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 3695] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 4*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3696] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 3697] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (14*z^2)/a^10 - (16*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^12 + (12*z^4)/a^10 - (18*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 3698] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 3699] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 3700] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, Alternating, 3701] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (8*z^2)/a^2 + 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3702] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 3703] -> 
  4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + 3*a^4*z^2 + 10*a^6*z^2 - 17*a^8*z^2 + 
   17*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 + 3*a^6*z^4 - 20*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 11*a^8*z^6 + 3*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 3704] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 3705] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 2*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   7*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 3706] -> a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + z^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*a^10*z^2 - a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4, Knot[13, Alternating, 3707] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 2*z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 + z^4 - 4*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   2*a^8*z^4 - 2*a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 3708] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*z^4 - 3*a^2*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 3709] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 5*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 3710] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + z^2/a^4 + 
   z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 3711] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + 
   z^2/a^4 + 2*a^2*z^2 - 2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 3712] -> 
  2/a^14 - 9/a^12 + 8/a^10 - (19*z^2)/a^12 + (29*z^2)/a^10 + (3*z^2)/a^8 - 
   (3*z^4)/a^14 - (8*z^4)/a^12 + (36*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[13, Alternating, 3713] -> a^(-14) - 5/a^12 + 3/a^10 + 
   2/a^8 - z^2/a^14 - (7*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 - z^4/a^12 + (11*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 3714] -> -a^(-16) + 6/a^14 - 14/a^12 + 10/a^10 + 
   (4*z^2)/a^14 - (26*z^2)/a^12 + (30*z^2)/a^10 + (4*z^2)/a^8 - 
   (2*z^4)/a^14 - (12*z^4)/a^12 + (34*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   z^6/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[13, Alternating, 3715] -> -a^(-12) - 2/a^10 + 4/a^8 - 
   z^2/a^14 - (3*z^2)/a^12 + (2*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + (7*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3716] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - z^2/a^14 - z^2/a^12 + (4*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 3717] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (21*z^2)/a^2 - 3*z^4 + z^4/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[13, Alternating, 3718] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 3719] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 33*z^2 + 
   (12*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 42*z^4 + (13*z^4)/a^2 + 
   26*a^2*z^4 - 4*a^4*z^4 - 26*z^6 + (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3720] -> 
  -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 10*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3721] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + 
   (8*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 31*z^4 + (10*z^4)/a^2 + 
   20*a^2*z^4 - 3*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3722] -> 
  -5 + 3/a^2 + 3*a^2 - 16*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 
   19*z^4 - (9*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3723] -> -1 + 7*a^2 - 8*a^4 + 3*a^6 - 6*z^2 + 
   20*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 9*z^4 + 28*a^2*z^4 - 23*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3724] -> 
  4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 6*z^2 - (3*z^2)/a^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3725] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (23*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3726] -> 
  2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (6*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3727] -> a^2 + a^6 - a^8 + a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + 
   3*a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3728] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (5*z^2)/a^8 + (19*z^2)/a^6 - 
   (21*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (22*z^4)/a^6 - (29*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3729] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3730] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 3731] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3732] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3733] -> 2*a^2 - a^4 + 5*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 + 
   4*a^2*z^6 - 15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3734] -> 
  2 - 2*a^2 + a^4 + 2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 13*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3735] -> 
  3*a^4 - 4*a^8 + 2*a^10 + 3*a^4*z^2 + 5*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 - 
   3*a^4*z^4 + 13*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - 4*a^4*z^6 + 
   13*a^6*z^6 - 10*a^8*z^6 + a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[13, Alternating, 3736] -> a^2 + 2*a^4 - 2*a^6 - a^8 + 
   a^10 + 4*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 - 5*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 3737] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3738] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   3*z^6 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3739] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 + (6*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 2*a^4*z^4 - 16*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3740] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (6*z^2)/a^8 + (22*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - (29*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3741] -> 2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 3*z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3742] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 23*z^2 + 
   (7*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3743] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + 21*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 
   9*z^4 + 29*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3744] -> -7 + 4/a^2 + 4*a^2 - 20*z^2 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - (8*z^4)/a^4 + (24*z^4)/a^2 + 
   4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3745] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 7*z^2 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3746] -> -3 + 3/a^2 - a^2 + 2*a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3747] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 3748] -> 
  -1 - 2/a^4 + 4/a^2 - 13*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 
   24*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3749] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3750] -> 
  2*a^4 - a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 5*a^2*z^4 - 
   14*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3751] -> a^2 + a^6 - a^8 + z^2 - a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3752] -> a^2 + a^6 - a^8 + z^2 + 2*a^6*z^2 + z^4 - 
   3*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3753] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3754] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 
   3*a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 4*a^10*z^2 - 3*a^4*z^4 + 13*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 - 4*a^4*z^6 + 13*a^6*z^6 - 10*a^8*z^6 + a^10*z^6 - 
   a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 3755] -> 2 - a^2 - a^4 + a^6 + 3*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - 5*z^4 + 13*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 
   14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3756] -> a^2 + a^4 - 2*a^8 + a^10 + 4*a^4*z^2 - 
   a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 3757] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (8*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3758] -> 3*a^4 - 2*a^6 + a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 
   3*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 3759] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 3760] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3761] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[13, Alternating, 3762] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[13, Alternating, 3763] -> 
  2 - 2*a^2 + a^4 - 5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3764] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 18*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   4*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3765] -> 1 - 7*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 17*z^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[13, Alternating, 3766] -> 2 - a^(-4) + a^(-2) - a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3767] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 14*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 
   9*z^4 + 26*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3768] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3769] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   9*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3770] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*z^6 + z^6/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3771] -> 
  -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^12 + (12*z^2)/a^10 - 
   (12*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (15*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 3772] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 3773] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3774] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3775] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3776] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3777] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + a^2*z^2 - z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 3778] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 - a^2*z^2 - 3*z^4 + (3*z^4)/a^4 + a^2*z^4 + a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[13, Alternating, 3779] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (9*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, Alternating, 3780] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   5*z^4 - z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[13, Alternating, 3781] -> 
  -11 + 4/a^2 + 12*a^2 - 4*a^4 - 33*z^2 + (11*z^2)/a^2 + 29*a^2*z^2 - 
   7*a^4*z^2 - 37*z^4 + (11*z^4)/a^2 + 26*a^2*z^4 - 4*a^4*z^4 - 22*z^6 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3782] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3783] -> 
  -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - (3*z^2)/a^12 + (15*z^2)/a^10 - 
   (18*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (19*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 3784] -> 
  -2/a^12 + 5/a^10 - 4/a^8 + a^(-4) + a^(-2) - z^2/a^12 + (8*z^2)/a^10 - 
   (7*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3785] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 16*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 
   6*a^4*z^2 - 20*z^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 15*z^6 + 
   (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3786] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 
   16*a^4*z^2 + 5*a^6*z^2 - 6*z^4 + 20*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   4*z^6 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 3787] -> a^(-10) - 5/a^8 + 5/a^6 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3788] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (20*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (12*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 3789] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 
   2/a^2 + 3*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 + 
   3*z^4 - z^4/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3790] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 22*z^2 - 
   (6*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 - (9*z^4)/a^4 + 
   (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3791] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3792] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 3793] -> 
  4 - 2/a^2 - a^4 - z^2 + 7*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 3794] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 + 4*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3795] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (8*z^2)/a^4 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3796] -> -2 + 2/a^2 + a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 14*z^4 - z^4/a^4 + (10*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 9*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[13, Alternating, 3797] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 
   5*z^4 + 16*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3798] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - z^6 + 3*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 3799] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 2*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3800] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 12*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 2*a^4*z^2 - 17*z^4 - z^4/a^4 + (12*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 10*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[13, Alternating, 3801] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   7*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[13, Alternating, 3802] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 
   13*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 8*z^4 + 24*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3803] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - z^2 - z^2/a^2 + 5*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3804] -> -a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3805] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 21*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 
   6*a^2*z^2 - 23*z^4 - (9*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 3806] -> a^(-2) - a^2 + a^4 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3807] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 
   2*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 3808] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 3*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3809] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + a^2*z^2 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[13, Alternating, 3810] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 8*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (25*z^2)/a^2 - 7*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3811] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3812] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   7*a^4*z^2 - 16*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 7*a^4*z^4 - 9*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3813] -> 1 - 4/a^8 + 10/a^6 - 8/a^4 + 2/a^2 + 3*z^2 - 
   (4*z^2)/a^8 + (22*z^2)/a^6 - (23*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (14*z^4)/a^6 - (24*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3814] -> 1 - 2/a^10 + 3/a^8 + 2/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^10 + (8*z^2)/a^8 - z^2/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 3815] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 - a^2*z^2 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 3816] -> a^(-10) - 5/a^8 + 5/a^6 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3817] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (12*z^4)/a^4 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 3818] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 18*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - 19*z^4 - z^4/a^4 + (12*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - 10*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[13, Alternating, 3819] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[13, Alternating, 3820] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 4*z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3821] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (16*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3822] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[13, Alternating, 3823] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 5*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 
   4*a^8*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 3824] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 17*a^2*z^4 - 12*a^4*z^4 + 
   2*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3825] -> 
  1 + a^(-10) - 2/a^8 + a^(-6) + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^4 - 
   z^2/a^2 - z^4 - (2*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 3826] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 3827] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (5*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (25*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + 
   (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 3828] -> 4*a^6 - 3*a^8 + 4*a^2*z^2 - 
   10*a^4*z^2 + 18*a^6*z^2 - 6*a^8*z^2 + 8*a^2*z^4 - 23*a^4*z^4 + 
   22*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3829] -> 2/a^10 - 5/a^8 + 3/a^6 + a^(-2) + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3830] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 
   6*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3831] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 3832] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + 2*z^2 - 4*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3833] -> a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) - 
   z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - 
   (2*z^4)/a^8 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 3834] -> 2*a^4 - a^8 + z^2/a^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^6*z^4 - 
   z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 3835] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2/a^2 + a^2*z^2 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3836] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3837] -> 2 - 2*a^2 + a^4 - z^2 + a^2*z^2 - a^4*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3838] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3839] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3840] -> 
  2 - a^(-4) + a^(-2) - a^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 3841] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3842] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[13, Alternating, 3843] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   5*z^4 + 14*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3844] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 + 
   5*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3845] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 
   3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 3846] -> a^2 + a^4 - a^6 + 2*a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 + 
   4*a^2*z^6 - 13*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3847] -> 
  2*a^2 - a^4 + 2*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3848] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3849] -> a^(-2) - a^2 + a^4 - 5*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 - 14*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 14*z^6 + 
   (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3850] -> 2 + a^(-6) - a^(-4) - a^(-2) + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (8*z^4)/a^6 - (25*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 3851] -> 
  a^(-6) - a^(-4) + a^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + 3*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3852] -> 
  3*a^4 - 2*a^6 - 3*a^8 + 6*a^10 - 3*a^12 + 7*a^4*z^2 - 4*a^6*z^2 - 
   7*a^8*z^2 + 14*a^10*z^2 - 4*a^12*z^2 + 5*a^4*z^4 - 7*a^6*z^4 - 8*a^8*z^4 + 
   10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 5*a^6*z^6 - 5*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 3853] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3854] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, Alternating, 3855] -> -a^(-4) + 2/a^2 - 4*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 12*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 
   4*a^2*z^4 - 13*z^6 - z^6/a^4 + (10*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3856] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3857] -> -a^(-8) + 2/a^4 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^2 - (3*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^8 + (9*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3858] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3859] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3860] -> 2 - a^(-4) + a^(-2) - a^2 - 3*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 13*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   5*a^2*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3861] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3862] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3863] -> 2 - a^(-4) + a^(-2) - a^2 - 
   2*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3864] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (7*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (11*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3865] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 3866] -> -1 + 4*a^2 - 2*a^4 - z^2/a^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3867] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3868] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 3869] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 19*a^2*z^4 - 20*a^4*z^4 + 
   7*a^6*z^4 - z^6 + 11*a^2*z^6 - 18*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3870] -> 
  -1 + 3*a^2 - a^6 + z^2 - z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - z^4/a^2 + a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3871] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 - (2*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 + 5*z^4 - z^4/a^2 - 3*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3872] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (13*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3873] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 3874] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (10*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 3875] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 3876] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3877] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 8*a^2*z^2 - 
   19*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 9*a^2*z^4 - 28*a^4*z^4 + 
   18*a^6*z^4 - 3*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3878] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 11*z^2 + 
   30*a^2*z^2 - 23*a^4*z^2 + 5*a^6*z^2 - 13*z^4 + 41*a^2*z^4 - 26*a^4*z^4 + 
   4*a^6*z^4 - 6*z^6 + 26*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3879] -> 
  2*a^2 - 2*a^6 + a^8 - 4*z^2 + 7*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 
   2*a^8*z^2 - 4*z^4 + 9*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 
   5*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 3880] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 + 3*z^2 - 
   (4*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 + 
   10*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 3881] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 3882] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + 
   (9*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, Alternating, 3883] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 + (2*z^2)/a^6 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3884] -> 
  -1 + a^(-2) + a^2 - 11*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (6*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3885] -> -7 + 4/a^2 + 4*a^2 - 22*z^2 + (8*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 29*z^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   20*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 3886] -> 
  a^(-2) - a^2 + a^4 - z^2 + z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3887] -> 
  2*a^2 - a^4 + a^2*z^2 + z^4 - 2*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3888] -> 2*a^4 + a^6 - 3*a^8 + a^10 - a^4*z^2 + 
   14*a^6*z^2 - 14*a^8*z^2 + 4*a^10*z^2 - 7*a^4*z^4 + 25*a^6*z^4 - 
   20*a^8*z^4 + 4*a^10*z^4 - 5*a^4*z^6 + 19*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - 
   a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 3889] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 4*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (19*z^2)/a^4 + z^2/a^2 + 4*z^4 - z^4/a^8 + 
   (13*z^4)/a^6 - (22*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3890] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[13, Alternating, 3891] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 
   2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 
   7*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 3892] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (5*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (21*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^10 - (11*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, Alternating, 3893] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 3894] -> 
  1 - z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + 4*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 3895] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 - 
   (8*z^2)/a^8 + (28*z^2)/a^6 - (24*z^2)/a^4 + (9*z^2)/a^2 - (5*z^4)/a^8 + 
   (30*z^4)/a^6 - (37*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - 
   (25*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 3896] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[13, Alternating, 3897] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3898] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 
   z^4 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 3899] -> 
  4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + 16*a^6*z^2 - 23*a^8*z^2 + 23*a^10*z^2 - 
   7*a^12*z^2 + 17*a^6*z^4 - 34*a^8*z^4 + 28*a^10*z^4 - 5*a^12*z^4 + 
   7*a^6*z^6 - 24*a^8*z^6 + 13*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 
   2*a^10*z^8 - a^8*z^10, Knot[13, Alternating, 3900] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 
   10*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 
   8*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[13, Alternating, 3901] -> 
  2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + 7*a^4*z^2 - 5*a^6*z^2 + 
   9*a^10*z^2 - 3*a^12*z^2 + 5*a^4*z^4 - 8*a^6*z^4 - 4*a^8*z^4 + 8*a^10*z^4 - 
   a^12*z^4 + a^4*z^6 - 5*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - 
   a^8*z^8, Knot[13, Alternating, 3902] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   2*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   a^8*z^6, Knot[13, Alternating, 3903] -> a^4 + 2*a^6 - 2*a^8 + 4*a^2*z^2 - 
   9*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 + 8*a^2*z^4 - 23*a^4*z^4 + 21*a^6*z^4 - 
   4*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 3904] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + (6*z^2)/a^6 - (16*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - (26*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 3905] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3906] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 4*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (11*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[13, Alternating, 3907] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3908] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3909] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 - 5*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 
   7*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 3910] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   17*z^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3911] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 5*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (4*z^4)/a^6 - 
   (21*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3912] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 3913] -> 
  2 - a^2 - a^4 + a^6 + z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 10*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3914] -> 
  1 - 4/a^8 + 8/a^6 - 4/a^4 + 4*z^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3915] -> 1 - 2/a^10 + 3/a^8 - a^(-4) + 
   3*z^2 - z^2/a^10 + (6*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 3916] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 - z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 3917] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2, Knot[13, Alternating, 3918] -> 
  2*a^4 - a^8 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   3*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 3919] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 7*z^2 - z^2/a^6 - (3*z^2)/a^4 + (15*z^2)/a^2 - 
   9*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 3920] -> -1 - a^(-6) + 3/a^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3921] -> a^(-2) - a^2 + a^4 - 6*z^2 + (3*z^2)/a^2 + 
   a^4*z^2 - 16*z^4 + (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 15*z^6 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3922] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3923] -> 2 + a^(-6) - a^(-4) - a^(-2) + 6*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3924] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 3925] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3926] -> 
  a^(-6) - a^(-4) + a^2 + z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3927] -> a^(-6) - a^(-4) + a^2 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + 2*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[13, Alternating, 3928] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3929] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 4*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 3930] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 3931] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3932] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3933] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2/a^6 - (3*z^2)/a^4 + a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 3934] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^2 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3935] -> 2*a^2 - 2*a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 + 
   5*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 3936] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^4 + 
   2*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, Alternating, 3937] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3938] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 3939] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + 16*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + 
   27*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 3940] -> 2 - 3*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[13, Alternating, 3941] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 
   a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 3942] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 3943] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 
   2*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 11*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 3944] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3945] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 3946] -> 
  -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3947] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 3948] -> 2 - 2*a^4 + a^8 - z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[13, Alternating, 3949] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 29*z^2 + (11*z^2)/a^2 + 23*a^2*z^2 - 
   5*a^4*z^2 - 41*z^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 4*a^4*z^4 - 26*z^6 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 3950] -> -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3951] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (6*z^2)/a^8 + (21*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - (28*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3952] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + 
   21*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 29*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3953] -> 
  4*a^2 - 5*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 3954] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 5*a^2*z^2 - 
   12*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 8*a^2*z^4 - 24*a^4*z^4 + 
   21*a^6*z^4 - 4*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 3955] -> a^2 + a^6 - a^8 + z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 3956] -> 2 - a^2 - a^6 + a^8 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, Alternating, 3957] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   5*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 21*a^2*z^4 - 
   14*a^4*z^4 + 2*a^6*z^4 - 4*z^6 + 16*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 3958] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 3959] -> 
  1 - 3/a^8 + 6/a^6 - 3/a^4 + 3*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (6*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 3960] -> -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - 
   (3*z^2)/a^12 + (12*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 3961] -> -a^(-12) + 3/a^10 - 6/a^8 + 
   5/a^6 - (3*z^2)/a^12 + (11*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (15*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 3962] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - (13*z^2)/a^12 + (16*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (4*z^4)/a^12 + (18*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 3963] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 3964] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (12*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (15*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 3965] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - (3*z^2)/a^12 + (10*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 3966] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3967] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + a^(-6) + a^(-2) - z^2/a^12 + (7*z^2)/a^10 - 
   (5*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3968] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 3969] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 - z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 3970] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 3971] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - z^2/a^14 - (9*z^2)/a^12 + 
   (13*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (2*z^4)/a^12 + 
   (15*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 3972] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - (3*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 3973] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, Alternating, 3974] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 2*a^4*z^2 + 
   9*a^6*z^2 - 10*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 + 
   4*a^6*z^4 - 14*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   9*a^8*z^6 + 3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[13, Alternating, 3975] -> 3*a^6 - 2*a^8 + a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 + 
   a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   2*a^8*z^6, Knot[13, Alternating, 3976] -> -2/a^12 + 3/a^10 - a^(-8) + 
   a^(-2) - z^2/a^12 + (6*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 3977] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + z^2 + z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 3978] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 3979] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 2*a^4*z^2 + 
   7*a^6*z^2 - 6*a^8*z^2 + 8*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 
   10*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 8*a^8*z^6 + 
   3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 3980] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 + z^4 - 3*a^2*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 3981] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 3982] -> a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (16*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 3983] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 3984] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - (4*z^2)/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 
   3*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 11*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[13, Alternating, 3985] -> 3*a^2 - 2*a^4 - a^6 + a^8 - z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 3986] -> -5 + 3/a^2 + 3*a^2 - 21*z^2 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 
   9*a^2*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3987] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 9*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 3988] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 3*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 3989] -> 
  a^(-4) - 2*a^2 + 2*a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 - 4*a^2*z^2 + a^4*z^2 - 
   2*z^4 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[13, Alternating, 3990] -> 4*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6, Knot[13, Alternating, 3991] -> 1 + a^2 - a^4 - a^6 + a^8 + 
   z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 3*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4, Knot[13, Alternating, 3992] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (8*z^2)/a^6 - (22*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 + (9*z^4)/a^6 - (30*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 3993] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 3994] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3995] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - (3*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 16*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[13, Alternating, 3996] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^4 - 
   3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[13, Alternating, 3997] -> 
  1 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 11*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 3998] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^6 + (4*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 3999] -> 
  1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4000] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[13, Alternating, 4001] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - 2*a^2*z^2 + 3*a^4*z^2 + 12*a^6*z^2 - 
   12*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 15*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4002] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - (2*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4003] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4004] -> 
  1 + 3*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4005] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - z^2 + a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 4006] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4007] -> 1 - a^(-8) + 2/a^6 - a^(-4) - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 4008] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4009] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 4010] -> 
  a^2 + a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - 
   z^4/a^2 - a^2*z^4 + a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4011] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + 14*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 
   20*a^2*z^4 - 25*a^4*z^4 + 8*a^6*z^4 - z^6 + 11*a^2*z^6 - 19*a^4*z^6 + 
   5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 4012] -> 2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4013] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - 2*a^2*z^2 + a^4*z^2 + 16*a^6*z^2 - 
   15*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 19*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4014] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - z^2 - a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - z^4 + 7*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 4015] -> 
  2*a^2 - a^4 - z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 4016] -> 2/a^6 - 5/a^4 + 4/a^2 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (18*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4017] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4018] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 21*z^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 15*z^6 + 
   (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 4019] -> -1 + a^(-2) + a^2 - 9*z^2 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 
   5*a^2*z^4 - 14*z^6 - z^6/a^4 + (10*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4020] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4021] -> -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4022] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4023] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4024] -> -1 + 4*a^2 - 2*a^4 - 17*z^2 + (6*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 28*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 4025] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 
   20*a^2*z^4 - 25*a^4*z^4 + 8*a^6*z^4 - z^6 + 11*a^2*z^6 - 19*a^4*z^6 + 
   5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 4026] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 4027] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4028] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 
   17*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4029] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (20*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4030] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4031] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4032] -> -2 + 6*a^2 - 3*a^4 - 16*z^2 + (5*z^2)/a^2 + 
   20*a^2*z^2 - 6*a^4*z^2 - 27*z^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 
   20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 4033] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4034] -> a^2 + a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 4035] -> -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4036] -> 1 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4037] -> -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 4038] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4039] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 21*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 
   9*a^4*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4040] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4041] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^10 - (10*z^6)/a^8 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 4042] -> a^(-10) - 2/a^8 + a^(-4) + 
   a^(-2) + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 - z^4/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4043] -> 
  1 + a^2 - 2*a^4 + a^6 + 4*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 6*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4044] -> 1 - 5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4045] -> 1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - (2*z^4)/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[13, Alternating, 4046] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4047] -> 
  2*a^2 - a^4 - z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4048] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4049] -> 2*a^2 - a^4 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4050] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 
   5*a^4*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4051] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (22*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4052] -> a^2 + a^6 - a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 12*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[13, Alternating, 4053] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   14*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 12*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[13, Alternating, 4054] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - (11*z^2)/a^12 + (13*z^2)/a^10 + 
   (10*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + (16*z^4)/a^10 + (13*z^4)/a^8 + 
   z^4/a^6 + z^6/a^12 + (6*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4055] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 17*z^2 + 
   (3*z^2)/a^2 + 28*a^2*z^2 - 10*a^4*z^2 - 19*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 10*a^4*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 
   2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4056] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + z^2 + 5*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 + 2*z^4 + a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + z^6 - 
   2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 4057] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4058] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, Alternating, 4059] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4060] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4061] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4062] -> -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^6 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[13, Alternating, 4063] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 + a^2*z^2 - 
   8*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 14*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[13, Alternating, 4064] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4065] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4066] -> a^2 + a^6 - a^8 + z^2/a^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6, Knot[13, Alternating, 4067] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[13, Alternating, 4068] -> 
  3/a^14 - 11/a^12 + 9/a^10 - (21*z^2)/a^12 + (31*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^4)/a^14 - (8*z^4)/a^12 + (37*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[13, Alternating, 4069] -> a^(-14) - 4/a^12 + a^(-10) + 
   3/a^8 - z^2/a^14 - (7*z^2)/a^12 + (7*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - 
   z^4/a^12 + (11*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4070] -> 
  -7 + a^(-2) + 13*a^2 - 6*a^4 - 22*z^2 + (4*z^2)/a^2 + 36*a^2*z^2 - 
   13*a^4*z^2 - 25*z^4 + (4*z^4)/a^2 + 43*a^2*z^4 - 13*a^4*z^4 - 12*z^6 + 
   z^6/a^2 + 26*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4071] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2/a^4 - 
   (4*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 4072] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 
   2*z^2 + 6*a^2*z^2 - 21*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 
   23*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[13, Alternating, 4073] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 + z^2/a^2 - 6*a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + z^4/a^2 - 8*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   3*a^2*z^6 - 2*a^4*z^6, Knot[13, Alternating, 4074] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 4075] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 
   2*a^4 - z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[13, Alternating, 4076] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4, 
 Knot[13, Alternating, 4077] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 5*z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4078] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - z^4 - z^4/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 4079] -> 1 + a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 4080] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4081] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4082] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^6 + (2*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 4083] -> -3/a^12 + 2/a^10 + 2/a^8 - (2*z^2)/a^14 - 
   (9*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^14 - (4*z^4)/a^12 + 
   (28*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4084] -> -a^(-14) + a^(-8) + a^(-6) - (2*z^2)/a^14 - 
   z^2/a^12 + (5*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   z^4/a^12 + (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4085] -> 
  a^(-14) - 7/a^12 + 7/a^10 - (3*z^2)/a^14 - (13*z^2)/a^12 + (28*z^2)/a^10 + 
   (2*z^2)/a^8 - (4*z^4)/a^14 - (3*z^4)/a^12 + (36*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4086] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (2*z^2)/a^14 - (5*z^2)/a^12 + (9*z^2)/a^10 + 
   (11*z^2)/a^8 - z^4/a^14 + (12*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4087] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   (2*z^2)/a^14 - (8*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + (15*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4088] -> 
  -2/a^12 + 3/a^8 - z^2/a^14 - (3*z^2)/a^12 + (4*z^2)/a^10 + (9*z^2)/a^8 + 
   (3*z^2)/a^6 + z^4/a^12 + (5*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 4089] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4090] -> 3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + 
   4*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 
   4*a^4*z^4 + a^6*z^4 - 17*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[13, Alternating, 4091] -> a^4 + 2*a^10 - 2*a^12 + 2*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   7*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4092] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4093] -> a^4 + a^8 - a^12 + a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^2*z^4 + 
   2*a^4*z^4 - 8*a^6*z^4 + 3*a^10*z^4 - a^4*z^6 - 4*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4094] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4095] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - z^2/a^14 - (9*z^2)/a^12 + 
   (13*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (2*z^4)/a^12 + 
   (15*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4096] -> 
  a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 2*z^2 - a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 
   4*a^8*z^2 + z^4 - 5*a^2*z^4 - 2*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 4097] -> a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 4098] -> a^2 + a^4 - a^6 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 4099] -> -2/a^12 + 3/a^8 - z^2/a^14 - (6*z^2)/a^12 + 
   (7*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + (12*z^4)/a^10 + 
   (14*z^4)/a^8 + z^4/a^6 + z^6/a^12 + (5*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4100] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^4 - 
   3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[13, Alternating, 4101] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 2*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   2*a^8*z^6, Knot[13, Alternating, 4102] -> a^4 + a^8 - a^12 + z^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 - a^2*z^4 - 
   3*a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4, Knot[13, Alternating, 4103] -> 
  1 - a^6 + 2*a^8 - a^10 + z^2 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   4*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - 3*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[13, Alternating, 4104] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^10 + 2*z^2 + a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^8*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 4105] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   (2*z^2)/a^14 - (5*z^2)/a^12 + (7*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + z^4/a^12 + (10*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4106] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   z^2/a^14 - (2*z^2)/a^12 + (2*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 + 
   z^4/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 4107] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + z^4 - 5*a^2*z^4 - 
   2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4108] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 11*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + z^4/a^2 + 9*a^2*z^4 + 8*a^4*z^4 - 
   4*a^6*z^4 - 2*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 4109] -> -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - (2*z^4)/a^2 + 
   5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 4110] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2/a^2 - 
   a^2*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 - 2*a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 4111] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4112] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[13, Alternating, 4113] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4114] -> 3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 + 
   2*z^2 + 4*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + z^4 - 
   a^2*z^4 - 10*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 - 3*a^4*z^6 - 
   2*a^6*z^6, Knot[13, Alternating, 4115] -> 1 - a^4 + a^6 + a^8 - a^10 + 
   2*z^2 + z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - z^4 - 
   4*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4, Knot[13, Alternating, 4116] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 2*z^4 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[13, Alternating, 4117] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - 
   (23*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^8 + (21*z^4)/a^6 - (30*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4118] -> -2 + a^(-4) + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4119] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 5*a^2*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4120] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 22*z^2 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (23*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (12*z^6)/a^2 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[13, Alternating, 4121] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 15*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[13, Alternating, 4122] -> 3*a^4 - 2*a^6 - a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 4123] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + 
   (8*z^2)/a^6 - (24*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + (9*z^4)/a^6 - 
   (30*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4124] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 4125] -> 
  -a^(-4) + 2/a^2 - 9*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4126] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 19*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4127] -> 
  a^(-4) - 2*a^2 + 2*a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 4128] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 - (3*z^2)/a^2 + 
   15*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 19*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[13, Alternating, 4129] -> 1 + a^2 - a^4 - a^6 + a^8 - 
   2*z^2 - z^2/a^2 + 5*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4/a^2 + 7*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 4130] -> a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - (5*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4131] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 
   6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4132] -> -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4133] -> -6 + 3/a^2 + 5*a^2 - a^4 - 24*z^2 + 
   (9*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 32*z^4 + (10*z^4)/a^2 + 
   19*a^2*z^4 - 3*a^4*z^4 - 21*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 4134] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 + (8*z^2)/a^6 - (21*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 + (9*z^4)/a^6 - (29*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (5*z^6)/a^6 - 
   (20*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[13, Alternating, 4135] -> 1 - 7*z^2 + z^2/a^4 + z^2/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (3*z^4)/a^4 - z^4/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[13, Alternating, 4136] -> 1 - 2*z^2 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[13, Alternating, 4137] -> -4 + 10*a^2 - 5*a^4 - 14*z^2 + 
   (2*z^2)/a^2 + 27*a^2*z^2 - 10*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 10*a^4*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 
   2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4138] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4139] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 2*z^2 + 
   4*a^2*z^2 - 15*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - a^2*z^4 - 
   19*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[13, Alternating, 4140] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4/a^2 - 8*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   3*a^2*z^6 - 2*a^4*z^6, Knot[13, Alternating, 4141] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4142] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4143] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 14*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   4*a^2*z^2 - 24*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4144] -> 1 - z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   5*a^6*z^2 - 3*z^4 + 15*a^2*z^4 - 24*a^4*z^4 + 8*a^6*z^4 - z^6 + 
   10*a^2*z^6 - 19*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 4145] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   10*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 4146] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 + 4*z^4 - z^4/a^2 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4147] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 11*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 4148] -> 1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 4149] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 14*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   4*a^2*z^2 - 20*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4150] -> 2 - 3*a^4 + 2*a^6 - z^2 + 6*a^2*z^2 - 
   13*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 15*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 4151] -> -4 + 3/a^2 + a^2 + a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4152] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   14*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4153] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 
   12*a^6*z^2 - 4*a^8*z^2 + 5*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 + 
   4*a^2*z^6 - 14*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 4154] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 2*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4155] -> 
  2 - 2*a^4 + a^8 + z^2 - 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   2*z^4 + a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 4156] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4157] -> -3 + 8*a^2 - 4*a^4 - 12*z^2 + (2*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 9*a^4*z^4 - 
   10*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 4158] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4159] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + 2*z^4 + a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + z^6 - 
   2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 4160] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (16*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[13, Alternating, 4161] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[13, Alternating, 4162] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4163] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - z^4 - z^4/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 4164] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4165] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 4166] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4167] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[13, Alternating, 4168] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 4169] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4170] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4171] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 - (3*z^2)/a^12 + (12*z^2)/a^10 - (18*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^12 + (12*z^4)/a^10 - (18*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 4172] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4173] -> -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 - z^2/a^2 + 
   19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - z^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[13, Alternating, 4174] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   5*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - 
   (25*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4175] -> 1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   13*z^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 4176] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 + 
   13*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4177] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4178] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4179] -> 3 - a^(-2) - a^2 + 5*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4180] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4181] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4182] -> a^(-4) - a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 
   3*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4183] -> 2 - a^(-2) + a^2 - a^4 - z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 4184] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4185] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4186] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 + 
   (5*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 22*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 
   9*a^4*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4187] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4188] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + z^4 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4189] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 
   7*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 9*a^4*z^4 - 10*z^6 + 
   z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4190] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - z^2/a^14 - 
   (11*z^2)/a^12 + (14*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + 
   (16*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4191] -> 
  a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - z^2/a^14 - (5*z^2)/a^12 + 
   (6*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + z^4/a^12 + (6*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4192] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4193] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + z^4 - 4*a^2*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 4194] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 + z^4 - 5*a^2*z^4 - 
   a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4195] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) - z^2/a^14 - (12*z^2)/a^12 + 
   (17*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + (17*z^4)/a^10 + 
   (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4196] -> a^(-14) - 4/a^12 + a^(-10) + 
   3/a^8 - z^2/a^14 - (5*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + 
   (2*z^2)/a^6 + z^4/a^12 + (6*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 4197] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 + 
   z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 4198] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   4*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 5*a^6*z^4 - 2*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4199] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4200] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4201] -> 2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 + 7*a^2*z^2 - 
   23*a^4*z^2 + 33*a^6*z^2 - 11*a^8*z^2 + 5*a^2*z^4 - 28*a^4*z^4 + 
   40*a^6*z^4 - 12*a^8*z^4 + a^2*z^6 - 13*a^4*z^6 + 25*a^6*z^6 - 6*a^8*z^6 - 
   2*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 4202] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4203] -> 
  1 - a^2 - 2*a^4 + 7*a^6 - 4*a^8 + 3*z^2 - 5*a^2*z^2 - 3*a^4*z^2 + 
   15*a^6*z^2 - 5*a^8*z^2 + z^4 - 7*a^2*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 4204] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 4205] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   z^2/a^4 - 8*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 - z^6 - 3*a^2*z^6, Knot[13, Alternating, 4206] -> 
  4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + 4*a^4*z^2 + 9*a^6*z^2 - 18*a^8*z^2 + 
   18*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 + 2*a^6*z^4 - 21*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 11*a^8*z^6 + 3*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 4207] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 7*a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4208] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + z^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - a^2*z^4 - 
   3*a^4*z^4 - 5*a^6*z^4 - 2*a^8*z^4, Knot[13, Alternating, 4209] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + (4*z^4)/a^6 - (8*z^4)/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[13, Alternating, 4210] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   z^2 + z^2/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - 
   4*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + a^2*z^6 + 3*a^4*z^6, 
 Knot[13, Alternating, 4211] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4212] -> 
  2/a^14 - 9/a^12 + 8/a^10 + z^2/a^14 - (20*z^2)/a^12 + (28*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^14 - (10*z^4)/a^12 + (34*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^14 + z^6/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4213] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - z^2/a^14 - (6*z^2)/a^12 + 
   (8*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4214] -> -a^(-12) - 2/a^10 + 4/a^8 - 
   z^2/a^14 - z^2/a^12 + z^2/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 4215] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - 
   (12*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + 
   (15*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4216] -> 
  a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - z^2/a^14 - (4*z^2)/a^12 + 
   (5*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 + z^4/a^12 + (5*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4217] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) - (13*z^2)/a^12 + (16*z^2)/a^10 + 
   (9*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + (17*z^4)/a^10 + (13*z^4)/a^8 + 
   z^4/a^6 + z^6/a^12 + (6*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4218] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 
   6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 14*a^6*z^4 - 
   3*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 4219] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 - (2*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, Alternating, 4220] -> a^(-2) - a^2 + a^4 - 2*z^2 + 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4221] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 6*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 14*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 4222] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 
   2*a^4 + 3*z^2 + z^2/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4223] -> 
  -2 + 5*a^2 - a^4 - a^6 - 8*z^2 + 20*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 9*z^4 + 
   29*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4224] -> -2 + 6*a^2 - 3*a^4 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 4225] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4226] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 4*a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, Alternating, 4227] -> a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4228] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   18*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (8*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4229] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - (3*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4230] -> -2/a^12 + 4/a^10 - 3/a^8 + a^(-6) + a^(-2) - 
   z^2/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4231] -> 
  1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 2*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4232] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4233] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 - z^2/a^14 - 
   (7*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + z^4/a^12 + 
   (7*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 4234] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4235] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[13, Alternating, 4236] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 + 
   3*z^4 - z^4/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4237] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[13, Alternating, 4238] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[13, Alternating, 4239] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4240] -> -3 + 3/a^2 - a^2 + 2*a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 7*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 4241] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 15*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - 18*z^4 - z^4/a^4 + (12*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   10*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[13, Alternating, 4242] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 6*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[13, Alternating, 4243] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 4244] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4245] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   2*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^6 - (4*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4246] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 4247] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 - 24*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 7*a^2*z^4 - 16*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4248] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4249] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   6*a^4*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4250] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 6*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (21*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4251] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4252] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 
   5*a^8*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 4*a^2*z^6 - 
   14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[13, Alternating, 4253] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 
   3*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 6*z^4 + 18*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4254] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 22*z^2 - (7*z^2)/a^4 + (23*z^2)/a^2 + 
   6*a^2*z^2 - 23*z^4 - (9*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4255] -> 2 - a^(-10) + 2/a^8 - a^(-6) + 
   a^(-4) - 2/a^2 + 2*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 4256] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 + 2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 4257] -> -1 - 2/a^4 + 4/a^2 - 13*z^2 - (5*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 24*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4258] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 4259] -> 2*a^4 - 4*a^8 + 6*a^10 - 3*a^12 + 5*a^4*z^2 + 
   3*a^6*z^2 - 13*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 - 
   17*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 10*a^8*z^6 + 
   3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 4260] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4261] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 6*z^2 - 
   (5*z^2)/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 
   10*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4262] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 4263] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 7*z^2 - (2*z^2)/a^4 - z^2/a^2 - 
   6*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[13, Alternating, 4264] -> 
  1 + a^2 - a^4 - a^6 + a^8 + 2*z^2 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[13, Alternating, 4265] -> 4 - a^(-2) - 3*a^2 + a^4 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 4266] -> 2 - 2*a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 4267] -> -a^(-8) + 2/a^4 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4268] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[13, Alternating, 4269] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4270] -> a^2 + 2*a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   6*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4271] -> 
  a^2 + a^4 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 4272] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 4273] -> 2*a^4 - a^6 - 2*a^8 + 5*a^10 - 3*a^12 + 
   7*a^4*z^2 - 3*a^6*z^2 - 6*a^8*z^2 + 14*a^10*z^2 - 4*a^12*z^2 + 5*a^4*z^4 - 
   7*a^6*z^4 - 8*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 5*a^6*z^6 - 
   5*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 4274] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 
   2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - a^4*z^4 - 5*a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 
   2*a^6*z^6 - a^8*z^6, Knot[13, Alternating, 4275] -> 
  a^2 - a^6 + a^8 + 2*a^10 - 2*a^12 + 3*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 - 
   a^8*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 4276] -> a^2 - a^6 + 2*a^8 - a^12 + z^2 + 2*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 - a^8*z^4, Knot[13, Alternating, 4277] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 4278] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2, Knot[13, Alternating, 4279] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 4280] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4281] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (8*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 4282] -> a^(-2) - a^4 + a^6 - z^2 + 
   a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 4283] -> a^2 + a^6 - a^8 + z^2/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[13, Alternating, 4284] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 2*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4285] -> 2 - a^(-4) + a^(-2) - a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4286] -> 
  4 - a^(-4) - 2*a^2 - 5*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   21*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4287] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2 + z^2/a^4 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4288] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4289] -> 
  -1 + 3*a^2 - a^6 - z^2 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4290] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 4291] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (20*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^8 + 
   (25*z^4)/a^6 - (36*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - 
   (25*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 4292] -> -4/a^8 + 6/a^6 - a^(-4) + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (27*z^2)/a^6 - (6*z^2)/a^4 + (4*z^4)/a^10 - 
   (24*z^4)/a^8 + (38*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + 
   (25*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 4293] -> -3/a^8 + 4/a^6 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4294] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4295] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4 - (2*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, Alternating, 4296] -> 4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + 
   22*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + 36*a^2*z^4 - 25*a^4*z^4 + 
   4*a^6*z^4 - 6*z^6 + 25*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4297] -> 
  5*a^6 - 5*a^8 + a^10 - 6*a^4*z^2 + 26*a^6*z^2 - 19*a^8*z^2 + 4*a^10*z^2 - 
   11*a^4*z^4 + 38*a^6*z^4 - 24*a^8*z^4 + 4*a^10*z^4 - 6*a^4*z^6 + 
   25*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^4*z^8 + 8*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[13, Alternating, 4298] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 
   2*a^2*z^2 + 4*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 8*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4299] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 - (4*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^2 + 5*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4300] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 4*z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4301] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 4302] -> -4/a^12 + 4/a^10 + a^(-8) - (4*z^2)/a^14 - 
   (6*z^2)/a^12 + (18*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + (2*z^4)/a^12 + 
   (24*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4303] -> -3/a^12 + 2/a^10 + 2/a^8 - (2*z^2)/a^14 - 
   (4*z^2)/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - z^4/a^14 + 
   z^4/a^12 + (10*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4304] -> 
  -2/a^12 + 3/a^8 - z^2/a^14 - (2*z^2)/a^12 + (3*z^2)/a^10 + (8*z^2)/a^8 + 
   (4*z^2)/a^6 + z^4/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 4305] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 
   4*a^2*z^2 + 9*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + 6*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4306] -> 
  6*a^6 - 7*a^8 + 2*a^10 - 8*a^4*z^2 + 31*a^6*z^2 - 24*a^8*z^2 + 5*a^10*z^2 - 
   12*a^4*z^4 + 42*a^6*z^4 - 26*a^8*z^4 + 4*a^10*z^4 - 6*a^4*z^6 + 
   26*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^4*z^8 + 8*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[13, Alternating, 4307] -> a^2 + 2*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 3*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 + 
   3*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[13, Alternating, 4308] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   7*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 9*a^2*z^4 - 27*a^4*z^4 + 
   18*a^6*z^4 - 3*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 4309] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   5*a^4*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4310] -> 
  4*a^2 - 4*a^4 + a^8 - 4*z^2 + 10*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 
   2*a^8*z^2 - 4*z^4 + 10*a^2*z^4 - 6*a^6*z^4 + a^8*z^4 - z^6 + 5*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, Alternating, 4311] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 4312] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - (7*z^2)/a^12 + (19*z^2)/a^10 - 
   (16*z^2)/a^8 + (13*z^2)/a^6 - (5*z^4)/a^12 + (27*z^4)/a^10 - 
   (29*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + (13*z^6)/a^10 - (23*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, Alternating, 4313] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - 
   (3*z^2)/a^12 + (9*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^12 + (8*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, Alternating, 4314] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (3*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (8*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, Alternating, 4315] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4316] -> 2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + 
   13*a^6*z^2 - 15*a^8*z^2 + 20*a^10*z^2 - 7*a^12*z^2 + 16*a^6*z^4 - 
   29*a^8*z^4 + 27*a^10*z^4 - 5*a^12*z^4 + 7*a^6*z^6 - 23*a^8*z^6 + 
   13*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[13, Alternating, 4317] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 4*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + 9*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 
   5*a^8*z^4 + 8*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 
   2*a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, Alternating, 4318] -> 
  2*a^6 - a^12 + 4*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - 2*a^12*z^2 + 
   4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 6*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, Alternating, 4319] -> 1 + a^2 - a^4 - a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 4320] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 2*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - 
   a^4*z^6 - a^6*z^6 - a^8*z^6, Knot[13, Alternating, 4321] -> 
  -2/a^12 + 2/a^10 + a^(-4) - (3*z^2)/a^12 + (10*z^2)/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (12*z^4)/a^8 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 4322] -> 
  -a^(-12) + a^(-8) + a^(-4) - z^2/a^12 + (4*z^2)/a^10 + z^2/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4323] -> -3/a^8 + 4/a^6 + (4*z^2)/a^10 - 
   (14*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (26*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 4324] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4325] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 2*z^2 - a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, Alternating, 4326] -> 2*a^6 - a^12 + 2*a^2*z^2 + 2*a^4*z^2 + 
   3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 
   2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 4327] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (7*z^2)/a^12 + (22*z^2)/a^10 - (23*z^2)/a^8 + (16*z^2)/a^6 - 
   (5*z^4)/a^12 + (28*z^4)/a^10 - (34*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^12 + 
   (13*z^6)/a^10 - (24*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, Alternating, 4328] -> 
  -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 2/a^4 - (3*z^2)/a^12 + (9*z^2)/a^10 - 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - 
   (4*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 4329] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (3*z^2)/a^12 + (8*z^2)/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, Alternating, 4330] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4331] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   z^2/a^14 - (14*z^2)/a^12 + (23*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^14 - 
   (6*z^4)/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4332] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   z^2/a^14 - (7*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 - z^4/a^12 + (11*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4333] -> -2/a^12 + 3/a^10 - a^(-8) + a^(-2) - 
   z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   (2*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[13, Alternating, 4334] -> 
  -a^(-12) + a^(-10) + a^(-2) + z^2 + (2*z^2)/a^10 + z^2/a^8 + z^2/a^2 - 
   z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 4335] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 
   12*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 4336] -> 5*a^6 - 5*a^8 + a^10 - 3*a^2*z^2 + 
   2*a^4*z^2 + 18*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 4*a^2*z^4 + 4*a^4*z^4 + 
   21*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4337] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - z^2 - a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - z^4 + 7*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 4338] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - 2*z^2 + a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 4339] -> 1 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   2*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4340] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + a^2*z^2 - 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4341] -> 6*a^6 - 7*a^8 + 2*a^10 - 4*a^2*z^2 + 
   4*a^4*z^2 + 17*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 
   19*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4342] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4343] -> a^2 + 2*a^6 - 3*a^8 + a^10 - z^2/a^2 + 
   2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + z^4 + 2*a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4, Knot[13, Alternating, 4344] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 
   17*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4345] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + a^2*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 + 2*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4346] -> a^(-6) - 3/a^4 + 3/a^2 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4347] -> 1 + a^(-6) - 2/a^4 + a^(-2) - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, Alternating, 4348] -> 2*a^4 - a^8 - a^2*z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   9*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4349] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4350] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^4 + 
   4*a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4351] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + 
   (4*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 - 9*z^4 + (4*z^4)/a^6 - 
   (21*z^4)/a^4 + (30*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4352] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4353] -> 
  2*a^2 - a^4 - 5*z^2 + 14*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 
   22*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 16*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4354] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 + (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4355] -> 1 + 2*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4356] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4357] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4358] -> a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4359] -> a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*z^6 + z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4360] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 13*z^2 + (4*z^2)/a^6 - (22*z^2)/a^4 + 
   (35*z^2)/a^2 - 13*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + (43*z^4)/a^2 - 
   6*z^6 + z^6/a^6 - (12*z^6)/a^4 + (26*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4361] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4362] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 + 
   z^2/a^4 + (5*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 14*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[13, Alternating, 4363] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 8*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, Knot[13, Alternating, 4364] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4365] -> -a^(-12) + a^(-8) + a^(-4) - 
   (3*z^2)/a^12 + (8*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 4366] -> a^(-14) - 6/a^12 + 5/a^10 + 
   a^(-8) - (12*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 - (4*z^4)/a^12 + (18*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4367] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + (3*z^4)/a^6 - 
   (18*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4368] -> 2/a^14 - 9/a^12 + 8/a^10 - z^2/a^14 - 
   (16*z^2)/a^12 + (26*z^2)/a^10 + (4*z^2)/a^8 - (3*z^4)/a^14 - 
   (6*z^4)/a^12 + (33*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4369] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   z^2/a^14 - (8*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 - z^4/a^12 + (13*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4370] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 2*z^2 + 
   3*a^2*z^2 - 14*a^4*z^2 + 18*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - a^2*z^4 - 
   18*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[13, Alternating, 4371] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4372] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4373] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6, Knot[13, Alternating, 4374] -> 
  -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 7*z^2 + z^2/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, Knot[13, Alternating, 4375] -> 
  1 + z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4376] -> 
  2*a^2 - 2*a^6 + a^8 - z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 + 
   z^4 - z^4/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 
   2*a^4*z^6, Knot[13, Alternating, 4377] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 
   z^2 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 3*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4, Knot[13, Alternating, 4378] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4379] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   (4*z^2)/a^14 - (6*z^2)/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 - (4*z^4)/a^14 - 
   z^4/a^12 + (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4380] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (2*z^2)/a^14 - (3*z^2)/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + (11*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4381] -> 
  -5/a^12 + 6/a^10 - (3*z^2)/a^14 - (11*z^2)/a^12 + (26*z^2)/a^10 + 
   (3*z^2)/a^8 - (4*z^4)/a^14 - (3*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4382] -> 
  -4/a^12 + 4/a^10 + a^(-8) - (2*z^2)/a^14 - (5*z^2)/a^12 + (11*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 + (12*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4383] -> -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - 
   (6*z^2)/a^12 + (10*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 - 
   z^4/a^12 + (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4384] -> 
  2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + 3*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 
   14*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 + 2*a^6*z^4 - 15*a^8*z^4 + 
   13*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 4385] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4386] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (4*z^2)/a^14 - (4*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + 
   (27*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4387] -> -a^(-14) - a^(-12) + 2/a^10 + a^(-6) - 
   (2*z^2)/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^14 + (12*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4388] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - (7*z^2)/a^12 + (11*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (2*z^4)/a^12 + (14*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4389] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 
   7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4390] -> 
  -3/a^12 + 3/a^10 + a^(-6) - z^2/a^14 - (2*z^2)/a^12 + (6*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (4*z^4)/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4391] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + z^4 - 5*a^2*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 4392] -> 2*a^6 - a^12 + 2*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4393] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^4 + 8*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 4394] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4395] -> 
  -2/a^12 + 3/a^8 - (2*z^2)/a^14 - (3*z^2)/a^12 + (6*z^2)/a^10 + 
   (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4396] -> -2/a^12 + a^(-10) + a^(-8) + 
   a^(-6) - z^2/a^14 - (2*z^2)/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4397] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 2*z^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   7*a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - 9*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 - 
   a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6, Knot[13, Alternating, 4398] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[13, Alternating, 4399] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 4*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[13, Alternating, 4400] -> 
  -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 + z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 4401] -> 3*a^6 - 2*a^8 + a^10 - a^12 + z^2 + a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4, Knot[13, Alternating, 4402] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2 + z^2/a^2 - 3*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 - z^4 - 3*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4, 
 Knot[13, Alternating, 4403] -> -2 + 2/a^2 + 2*a^6 - a^8 - 4*z^2 + z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 3*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4, Knot[13, Alternating, 4404] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 
   a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[13, Alternating, 4405] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + (4*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 18*z^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[13, Alternating, 4406] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   5*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 
   15*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 4407] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4408] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   4*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4409] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 19*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 - (4*z^4)/a^4 + 
   (22*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4410] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4411] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4412] -> 
  a^(-4) - a^(-2) + a^2 - 9*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4413] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4414] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 10*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - 
   3*z^4 + 16*a^2*z^4 - 29*a^4*z^4 + 9*a^6*z^4 - z^6 + 10*a^2*z^6 - 
   20*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 4415] -> 3 - 3*a^2 + a^6 + 5*z^2 - z^2/a^2 - 
   6*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4416] -> 
  -3 - 4/a^4 + 8/a^2 - 10*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4417] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 6*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4418] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4419] -> 
  -1 + 4*a^2 - 2*a^4 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4420] -> 1 - 2/a^4 + 3/a^2 - a^2 + 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 4421] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^10 - 
   (9*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4422] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4423] -> a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[13, Alternating, 4424] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2 - z^2/a^6 + z^2/a^4 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[13, Alternating, 4425] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4426] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4427] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 4428] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 4429] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[13, Alternating, 4430] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[13, Alternating, 4431] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 4432] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (3*z^2)/a^12 + (13*z^2)/a^10 - 
   (19*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (19*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 4433] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4434] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   (3*z^2)/a^12 + (11*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (15*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 4435] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4436] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4437] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4438] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (4*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^8 + 
   (17*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[13, Alternating, 4439] -> a^(-4) - a^(-2) + a^2 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4440] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 4441] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 - 9*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4442] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (20*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4443] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - 4*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4444] -> 1 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4445] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 
   5*a^4*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4446] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4447] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 20*z^2 + 
   (5*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 22*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 
   9*a^4*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4448] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 + z^4/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4449] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 18*z^2 + 
   (3*z^2)/a^2 + 27*a^2*z^2 - 10*a^4*z^2 - 19*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 10*a^4*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 
   2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4450] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 24*z^2 + (5*z^2)/a^2 + 34*a^2*z^2 - 
   12*a^4*z^2 - 26*z^4 + (4*z^4)/a^2 + 42*a^2*z^4 - 13*a^4*z^4 - 12*z^6 + 
   z^6/a^2 + 26*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4451] -> -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - 2*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4452] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 4453] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   z^2/a^14 - (10*z^2)/a^12 + (15*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (16*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4454] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - z^2/a^14 - (5*z^2)/a^12 + 
   (7*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + z^4/a^12 + (6*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4455] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4456] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 21*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 
   8*a^4*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4457] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4458] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 4459] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - (7*z^2)/a^12 + (11*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (2*z^4)/a^12 + (14*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4460] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   2*z^2 - a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + z^4 - 5*a^2*z^4 - 
   2*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4461] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4462] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 4463] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 + 
   3*z^2 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, Alternating, 4464] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - z^2/a^14 - (8*z^2)/a^12 + 
   (10*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + (13*z^4)/a^10 + 
   (14*z^4)/a^8 + z^4/a^6 + z^6/a^12 + (5*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4465] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4466] -> a^2 + a^4 - a^6 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, Alternating, 4467] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   4*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4468] -> 
  -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + z^4/a^2 + 9*a^2*z^4 + 8*a^4*z^4 - 
   4*a^6*z^4 - 2*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[13, Alternating, 4469] -> -2 + a^(-4) - a^(-2) + 4*a^2 - a^6 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - (2*z^4)/a^2 + 
   5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, Alternating, 4470] -> 2 - a^(-2) + a^2 - a^4 + z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^2 + 17*a^2*z^4 - 6*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4471] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 
   9*a^4*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4472] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4473] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^4 + 
   z^2/a^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[13, Alternating, 4474] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (20*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (21*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 4475] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4476] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4477] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[13, Alternating, 4478] -> a^(-10) - 6/a^8 + 7/a^6 - 
   a^(-4) + (2*z^2)/a^10 - (12*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4479] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   9*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4480] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 3*a^4*z^4 - 10*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[13, Alternating, 4481] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 4482] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4483] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 + z^2 - z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 4484] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4485] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 4486] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4487] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4488] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 7*a^2*z^2 - 
   24*a^4*z^2 + 32*a^6*z^2 - 11*a^8*z^2 + 5*a^2*z^4 - 28*a^4*z^4 + 
   40*a^6*z^4 - 12*a^8*z^4 + a^2*z^6 - 13*a^4*z^6 + 25*a^6*z^6 - 6*a^8*z^6 - 
   2*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 4489] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 2*z^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4490] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + z^4 - 7*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 4491] -> -1 + a^(-2) + a^2 - 2*a^4 + 
   4*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[13, Alternating, 4492] -> 2/a^14 - 8/a^12 + 6/a^10 + 
   a^(-8) - (13*z^2)/a^12 + (16*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - 
   (3*z^4)/a^12 + (16*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4493] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - z^2/a^14 - (4*z^2)/a^12 + 
   (4*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + z^4/a^12 + (5*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4494] -> 
  -3 + 8*a^2 - 4*a^4 - 9*z^2 + 23*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 10*z^4 + 
   31*a^2*z^4 - 15*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + 21*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4495] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4496] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 9*z^2 + 25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   10*z^4 + 32*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 21*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4497] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 25*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 32*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 10*a^2*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4498] -> 
  -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - 8*z^4 - z^4/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, Alternating, 4499] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 21*z^2 + 
   (5*z^2)/a^2 + 29*a^2*z^2 - 9*a^4*z^2 - 20*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - 
   7*a^4*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4500] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (18*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4501] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4502] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4503] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4504] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - (7*z^2)/a^4 + (21*z^2)/a^2 + 
   5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4505] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   5*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4506] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4507] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 9*z^2 - 
   (4*z^2)/a^2 - 11*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 11*z^4 - (2*z^4)/a^2 - 
   9*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[13, Alternating, 4508] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^10 - (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4509] -> 
  a^4 + 2*a^6 - 5*a^8 + 6*a^10 - 3*a^12 + 4*a^4*z^2 + 6*a^6*z^2 - 
   14*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 + a^6*z^4 - 17*a^8*z^4 + 
   13*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 4510] -> 
  2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 
   a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4511] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   4*a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   14*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4512] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4513] -> 3*a^4 - a^6 - 2*a^8 + a^10 - z^2 + 
   6*a^4*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 6*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 4514] -> 2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - 2*a^2*z^2 + 
   3*a^4*z^2 + 11*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   15*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4515] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - z^2 - a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - z^4 + 7*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 4516] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - 2*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 4*a^2*z^4 - 12*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + z^6 - 
   3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[13, Alternating, 4517] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 
   5*a^4*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4518] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + z^2/a^4 + 8*a^2*z^2 - 2*a^4*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4519] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 
   8*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 4520] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + 22*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 
   10*z^4 + 31*a^2*z^4 - 20*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 21*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4521] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 3*a^2*z^2 - 
   8*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 4522] -> 
  2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4523] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   7*z^4 + 23*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4524] -> a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 4525] -> 4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 - (3*z^2)/a^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 4526] -> 2 - a^2 - a^6 + a^8 + z^2 - 
   z^2/a^4 - a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[13, Alternating, 4527] -> 
  a^4 + a^6 - 3*a^8 + 5*a^10 - 3*a^12 + 4*a^4*z^2 + 5*a^6*z^2 - 11*a^8*z^2 + 
   15*a^10*z^2 - 4*a^12*z^2 + 4*a^4*z^4 + a^6*z^4 - 16*a^8*z^4 + 
   13*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 4528] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4529] -> a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 + a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^2*z^4 + a^4*z^4 - 
   4*a^6*z^4 - a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4530] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 3*a^2*z^2 + 
   6*a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   9*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4531] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - z^2 + 6*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 4532] -> 
  2 - 3*a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[13, Alternating, 4533] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - 2*z^2 + a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 4534] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - 4*a^2*z^2 + 7*a^4*z^2 + 10*a^6*z^2 - 
   13*a^8*z^2 + 3*a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 10*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[13, Alternating, 4535] -> a^2 + a^4 - 2*a^8 + a^10 - 
   z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^8*z^2 + z^4 + 2*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4, Knot[13, Alternating, 4536] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*z^2 - 3*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 4537] -> 2 - 2*a^4 + a^8 + 2*z^2 - z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[13, Alternating, 4538] -> a^4 - a^8 + 4*a^10 - 3*a^12 + 6*a^4*z^2 - 
   a^6*z^2 - 4*a^8*z^2 + 13*a^10*z^2 - 4*a^12*z^2 + 5*a^4*z^4 - 6*a^6*z^4 - 
   7*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 5*a^6*z^6 - 5*a^8*z^6 + 
   2*a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, Alternating, 4539] -> 
  a^4 + 2*a^10 - 2*a^12 + 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 5*a^6*z^4 - a^8*z^4 + 
   2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 4540] -> a^4 + a^8 - a^12 + 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 
   4*a^6*z^4 + 2*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, Alternating, 4541] -> a^4 + a^6 - a^8 + a^10 - a^12 + z^2 + 
   a^2*z^2 + a^4*z^2 + a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4, Knot[13, Alternating, 4542] -> 
  a^4 + a^8 - a^12 + z^2 + 2*a^2*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, Knot[13, Alternating, 4543] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4544] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4545] -> 
  -a^(-4) + 2/a^2 - 5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4546] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4547] -> -2/a^14 - a^(-12) + 4/a^10 - 
   (13*z^2)/a^14 + (8*z^2)/a^12 + (22*z^2)/a^10 - (16*z^4)/a^14 + 
   (24*z^4)/a^12 + (40*z^4)/a^10 - (7*z^6)/a^14 + (22*z^6)/a^12 + 
   (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[13, Alternating, 4548] -> -2/a^14 + 2/a^10 + a^(-8) - 
   (7*z^2)/a^14 + (2*z^2)/a^12 + (15*z^2)/a^10 + (6*z^2)/a^8 - (5*z^4)/a^14 + 
   (7*z^4)/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4549] -> -2/a^14 + a^(-12) + 2/a^8 - (5*z^2)/a^14 + 
   z^2/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4550] -> -a^(-14) - 3/a^12 + 5/a^10 - (6*z^2)/a^14 - 
   (3*z^2)/a^12 + (21*z^2)/a^10 + (4*z^2)/a^8 - (5*z^4)/a^14 + (5*z^4)/a^12 + 
   (27*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4551] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   (3*z^2)/a^14 - (2*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (11*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4552] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (2*z^2)/a^14 - (2*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + z^4/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4553] -> -2/a^14 + a^(-12) + 2/a^8 - (3*z^2)/a^14 + 
   (7*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (10*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4554] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - z^2/a^14 - z^2/a^12 + (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 + z^4/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4555] -> 
  -2/a^14 + a^(-12) + a^(-10) + a^(-6) - (3*z^2)/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + 
   (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4556] -> 
  -a^(-14) - a^(-12) + 2/a^10 + a^(-6) - z^2/a^14 + (4*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4557] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4558] -> -5/a^12 + 6/a^10 - (6*z^2)/a^14 - 
   (8*z^2)/a^12 + (29*z^2)/a^10 - (11*z^4)/a^14 + (7*z^4)/a^12 + 
   (45*z^4)/a^10 - (6*z^6)/a^14 + (15*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + 
   (7*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[13, Alternating, 4559] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (4*z^2)/a^14 - (2*z^2)/a^12 + (11*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^14 + 
   (3*z^4)/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4560] -> -2/a^14 + 2/a^12 - 2/a^10 + 3/a^8 - 
   (7*z^2)/a^14 + (9*z^2)/a^12 - z^2/a^10 + (13*z^2)/a^8 - (5*z^4)/a^14 + 
   (12*z^4)/a^12 + (6*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4561] -> -2/a^14 + 2/a^12 - a^(-10) + a^(-8) + 
   a^(-6) - (3*z^2)/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (6*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4562] -> a^(-14) - 7/a^12 + 7/a^10 - (3*z^2)/a^14 - 
   (9*z^2)/a^12 + (20*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + z^4/a^12 + 
   (24*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4563] -> -3/a^12 + 2/a^10 + 2/a^8 - (2*z^2)/a^14 - 
   (3*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + 
   z^4/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4564] -> 
  -a^(-14) - a^(-10) + 3/a^8 - (3*z^2)/a^14 + z^2/a^12 + (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4565] -> -a^(-14) + a^(-8) + a^(-6) - 
   z^2/a^14 + (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 4566] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   (2*z^2)/a^14 - (10*z^2)/a^12 + (22*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^4)/a^14 - (5*z^4)/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[13, Alternating, 4567] -> -4/a^12 + 4/a^10 + a^(-8) - 
   z^2/a^14 - (6*z^2)/a^12 + (10*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 - z^4/a^12 + (11*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4568] -> -2/a^14 + 3/a^12 - 4/a^10 + 4/a^8 - 
   (5*z^2)/a^14 + (8*z^2)/a^12 - (6*z^2)/a^10 + (16*z^2)/a^8 - (4*z^4)/a^14 + 
   (9*z^4)/a^12 + (2*z^4)/a^10 + (17*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (4*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4569] -> -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - 
   (2*z^2)/a^14 + z^2/a^12 + z^2/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (5*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4570] -> -2/a^14 + 2/a^12 - a^(-8) + 2/a^6 - 
   (3*z^2)/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   z^4/a^14 + (4*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^12 + z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[13, Alternating, 4571] -> 
  -a^(-14) + a^(-10) - a^(-8) + 2/a^6 - z^2/a^14 + z^2/a^12 + (3*z^2)/a^10 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4572] -> 
  -2/a^14 + 2/a^12 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + z^4/a^10 + z^4/a^8 + 
   z^4/a^6 + z^4/a^4, Knot[13, Alternating, 4573] -> 
  -a^(-14) + a^(-10) + a^(-4) + z^2/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2, Knot[13, Alternating, 4574] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (3*z^2)/a^12 + (11*z^2)/a^10 - 
   (12*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (16*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 4575] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4576] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - (3*z^2)/a^12 + (11*z^2)/a^10 - 
   (12*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (14*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 4577] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4578] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + 
   z^2 + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^2 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 4579] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4580] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4581] -> -a^(-12) + a^(-10) + a^(-2) + z^2 + 
   (3*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 4582] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (16*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (19*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 4583] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 4584] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[13, Alternating, 4585] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + z^2 + (3*z^2)/a^8 - (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[13, Alternating, 4586] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4587] -> -4 - 3/a^4 + 7/a^2 + a^2 - 6*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4588] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 4589] -> 
  -11 - 4/a^4 + 12/a^2 + 4*a^2 - 26*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 
   6*a^2*z^2 + 2*a^4*z^2 - 24*z^4 - z^4/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 
   11*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[13, Alternating, 4590] -> -5 + 15*a^2 - 12*a^4 + 3*a^6 - 14*z^2 + 
   40*a^2*z^2 - 29*a^4*z^2 + 6*a^6*z^2 - 14*z^4 + 46*a^2*z^4 - 28*a^4*z^4 + 
   4*a^6*z^4 - 6*z^6 + 27*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4591] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 14*z^2 + 36*a^2*z^2 - 21*a^4*z^2 + 3*a^6*z^2 - 
   14*z^4 + 45*a^2*z^4 - 23*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 27*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4592] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 + 5*z^2 - 
   (5*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 
   11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4593] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 8*z^2 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[13, Alternating, 4594] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + 
   (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[13, Alternating, 4595] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (18*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 4596] -> 2 - a^(-2) + a^2 - a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[13, Alternating, 4597] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 23*z^2 - (11*z^2)/a^4 + (30*z^2)/a^2 + 
   5*a^2*z^2 - 26*z^4 - (13*z^4)/a^4 + (41*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^4 + (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4598] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   11*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - (6*z^4)/a^4 + 
   (19*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4599] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 12*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, Alternating, 4600] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 10*z^2 + 29*a^2*z^2 - 22*a^4*z^2 + 
   5*a^6*z^2 - 10*z^4 + 34*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 
   21*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 4601] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   16*z^2 - (9*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 19*z^4 - (10*z^4)/a^4 + 
   (32*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4602] -> 
  -5 - 3/a^4 + 8/a^2 + a^4 - 6*z^2 - (6*z^2)/a^4 + (15*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4603] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (21*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4604] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 4605] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4606] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - 
   (7*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + 
   (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4607] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (10*z^2)/a^8 + (28*z^2)/a^6 - 
   (23*z^2)/a^4 + (7*z^2)/a^2 - (12*z^4)/a^8 + (39*z^4)/a^6 - (28*z^4)/a^4 + 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 4608] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - 
   (5*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4609] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4610] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[13, Alternating, 4611] -> -4 - 2/a^4 + 6/a^2 + a^4 - 6*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4612] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   7*z^4 + 22*a^2*z^4 - 13*a^4*z^4 + 2*a^6*z^4 - 4*z^6 + 16*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4613] -> -1 - 2/a^4 + 4/a^2 - 11*z^2 - (7*z^2)/a^4 + 
   (18*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 - (9*z^4)/a^4 + (28*z^4)/a^2 + 
   3*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4614] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4615] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - (3*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4616] -> -2/a^8 + 5/a^6 - 3/a^4 + a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4617] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 - 
   (5*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4618] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + (9*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4619] -> -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + 
   a^2 - 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 4620] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4621] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + a^2*z^4 - 
   16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[13, Alternating, 4622] -> 
  -3/a^12 + 7/a^10 - 6/a^8 + a^(-6) + 2/a^4 - (4*z^2)/a^12 + (17*z^2)/a^10 - 
   (16*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - 
   (18*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[13, Alternating, 4623] -> 
  -3/a^12 + 7/a^10 - 7/a^8 + 3/a^6 + a^(-4) - (4*z^2)/a^12 + (18*z^2)/a^10 - 
   (19*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - 
   (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[13, Alternating, 4624] -> -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^12 + 
   (7*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4625] -> 
  4 - 2/a^2 - a^4 - z^2 + 7*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 4626] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 
   4*z^4 + (8*z^4)/a^6 - (24*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (5*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[13, Alternating, 4627] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 
   a^2 + 6*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4628] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 
   22*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 29*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4629] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   (5*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4630] -> -a^(-2) + 5*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 23*z^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 4631] -> 
  4 - 2/a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4632] -> a^(-2) - a^4 + a^6 - 3*z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - z^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[13, Alternating, 4633] -> a^2 + 3*a^6 - 5*a^8 + 2*a^10 + a^2*z^2 - 
   3*a^4*z^2 + 12*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   15*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4634] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - a^2*z^2 + 4*a^4*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 4635] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4636] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4637] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 19*z^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 4638] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (6*z^2)/a^4 + (18*z^2)/a^2 + 
   5*a^2*z^2 - 22*z^4 - (9*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4639] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   13*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (9*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4640] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 21*z^2 - (9*z^2)/a^4 + (26*z^2)/a^2 + 
   5*a^2*z^2 - 23*z^4 - (10*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4641] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 
   z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4642] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4643] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (10*z^2)/a^8 + (30*z^2)/a^6 - (26*z^2)/a^4 + (8*z^2)/a^2 - (12*z^4)/a^8 + 
   (39*z^4)/a^6 - (29*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 4644] -> -4 - 3/a^4 + 7/a^2 + a^2 - 14*z^2 - 
   (7*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (9*z^4)/a^4 + 
   (28*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4645] -> 
  1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 2*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4646] -> 
  2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 3*z^2 - (5*z^2)/a^8 + (14*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4647] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 16*z^2 - (9*z^2)/a^4 + (25*z^2)/a^2 + 
   3*a^2*z^2 - 19*z^4 - (10*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4648] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 
   3*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 3*a^2*z^4 - 
   16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[13, Alternating, 4649] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 24*z^2 - (12*z^2)/a^4 + (33*z^2)/a^2 + 
   5*a^2*z^2 - 26*z^4 - (13*z^4)/a^4 + (42*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^4 + (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[13, Alternating, 4650] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 
   3*z^2 - (6*z^2)/a^4 + (14*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - 
   (4*z^4)/a^4 + (12*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4651] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, Alternating, 4652] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, Alternating, 4653] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4654] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 3*z^2 + 
   a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^2 + 5*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, Alternating, 4655] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4656] -> 
  2 - 3/a^8 + 6/a^6 - 2/a^4 - 2/a^2 + 3*z^2 - (5*z^2)/a^8 + (14*z^2)/a^6 - 
   (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4657] -> 
  -2/a^8 + 3/a^6 + a^(-4) - 2/a^2 + a^2 - z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4658] -> a^(-8) - 4/a^6 + 4/a^4 + (3*z^2)/a^10 - 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 + z^6/a^10 - (10*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 4659] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 - z^4/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4660] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 + z^2/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, Alternating, 4661] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^8 - 
   z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4662] -> 3 + 2/a^4 - 4/a^2 + z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4663] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 - 2*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4664] -> 2 + a^(-4) - 2/a^2 + z^2 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 - 4*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*z^6 + z^6/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4665] -> 
  3 + 2/a^4 - 4/a^2 + 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, Alternating, 4666] -> a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4667] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^8 - z^2/a^6 - 
   (3*z^2)/a^2 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[13, Alternating, 4668] -> 
  1 + z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4669] -> a^(-4) - a^(-2) + a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[13, Alternating, 4670] -> 3 - 4*a^2 + 2*a^4 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 4671] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 
   3*z^2 + z^2/a^2 - a^2*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4672] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4673] -> 1 - 5*z^2 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 10*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4674] -> 2 - 2*a^2 + a^4 - 3*z^2 + z^2/a^4 + a^2*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, Alternating, 4675] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   2*a^2*z^4 - a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 4676] -> 3 - 4*a^2 + 2*a^4 - 3*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 12*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4677] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4678] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 - (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[13, Alternating, 4679] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   3*z^6 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4680] -> 
  1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4681] -> 
  1 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4682] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4683] -> 1 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4684] -> 3 - a^(-2) - a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 22*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[13, Alternating, 4685] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4686] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2/a^10 - (4*z^2)/a^6 + (2*z^2)/a^4 - z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4687] -> a^(-4) - a^(-2) + a^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 - 2*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4688] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, Alternating, 4689] -> a^(-4) - a^(-2) + a^2 - z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[13, Alternating, 4690] -> 
  a^2 + a^4 - a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4691] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^4 + a^2*z^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 4692] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, Alternating, 4693] -> 2*a^2 - a^4 - z^2/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 4694] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[13, Alternating, 4695] -> 
  5 - 2/a^2 - 2*a^2 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[13, Alternating, 4696] -> 
  -1 - a^(-6) + 3/a^2 - 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 
   7*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4697] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (18*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 4698] -> a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^10 - (10*z^6)/a^8 + (12*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, Alternating, 4699] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4700] -> a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 - 
   (3*z^2)/a^6 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 4701] -> 
  1 + (4*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4702] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, Alternating, 4703] -> 
  2/a^6 - 5/a^4 + 4/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + 
   (8*z^2)/a^2 - (3*z^4)/a^8 + (17*z^4)/a^6 - (28*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^8 + (10*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, Alternating, 4704] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (2*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4705] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^10 - (3*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 4706] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - z^4/a^6 + (5*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, Alternating, 4707] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4708] -> 3*a^4 - 2*a^6 + 2*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 5*a^2*z^4 - 14*a^4*z^4 + 13*a^6*z^4 - 3*a^8*z^4 + 
   4*a^2*z^6 - 14*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[13, Alternating, 4709] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^10 - (10*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, Alternating, 4710] -> 
  2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4711] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4712] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 + z^2/a^6 - (5*z^2)/a^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[13, Alternating, 4713] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (8*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, Alternating, 4714] -> 
  3 - a^(-2) - a^2 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4715] -> 3 - 4*a^2 + 2*a^4 + z^2 - 4*a^2*z^2 + 
   a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, Alternating, 4716] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   13*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4717] -> a^2 + a^4 - a^6 - 4*z^2 + 11*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 19*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - 
   z^6 + 11*a^2*z^6 - 18*a^4*z^6 + 5*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^4*z^10, Knot[13, Alternating, 4718] -> 
  2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   5*z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4719] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^4 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   2*z^4 + (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[13, Alternating, 4720] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 
   6*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[13, Alternating, 4721] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + (2*z^2)/a^4 - z^2/a^2 - 5*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4722] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 24*z^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[13, Alternating, 4723] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (9*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, Alternating, 4724] -> 
  2*a^2 - a^4 + 3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 5*a^2*z^4 - 
   15*a^4*z^4 + 13*a^6*z^4 - 3*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[13, Alternating, 4725] -> 3*a^2 - 3*a^4 + a^6 + 2*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 4726] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 + z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[13, Alternating, 4727] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 4728] -> 
  2 + a^(-4) - 2/a^2 - z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 
   3*z^4 + (8*z^4)/a^6 - (23*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (5*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[13, Alternating, 4729] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   3*z^2 - (2*z^2)/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 + z^4 - 
   (3*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[13, Alternating, 4730] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4731] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4732] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - z^2 - 
   (4*z^2)/a^2 + 20*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 
   22*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[13, Alternating, 4733] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 4*z^2 - (2*z^2)/a^4 - z^2/a^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6, 
 Knot[13, Alternating, 4734] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   3*a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   15*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4735] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, Knot[13, Alternating, 4736] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 27*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - 20*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[13, Alternating, 4737] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (21*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^12 + (12*z^4)/a^10 - (20*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 4738] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 4739] -> 
  -a^(-16) + 4/a^14 - 10/a^12 + 8/a^10 - z^2/a^16 + (4*z^2)/a^14 - 
   (25*z^2)/a^12 + (36*z^2)/a^10 - (5*z^4)/a^14 - (10*z^4)/a^12 + 
   (50*z^4)/a^10 - (5*z^6)/a^14 + (8*z^6)/a^12 + (31*z^6)/a^10 - z^8/a^14 + 
   (6*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[13, Alternating, 4740] -> -a^(-16) + 5/a^14 - 12/a^12 + 9/a^10 + 
   z^2/a^14 - (15*z^2)/a^12 + (19*z^2)/a^10 + (8*z^2)/a^8 - (3*z^4)/a^14 - 
   (3*z^4)/a^12 + (21*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4741] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 - (16*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^12 + (12*z^4)/a^10 - (18*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 4742] -> -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4743] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[13, Alternating, 4744] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[13, Alternating, 4745] -> 
  -2 - 3/a^4 + 6/a^2 - 11*z^2 - (7*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 
   17*z^4 - (9*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4746] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4747] -> 
  -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 - (10*z^2)/a^8 + (31*z^2)/a^6 - 
   (26*z^2)/a^4 + (8*z^2)/a^2 - (12*z^4)/a^8 + (39*z^4)/a^6 - (29*z^4)/a^4 + 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[13, Alternating, 4748] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[13, Alternating, 4749] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - z^2/a^2 + a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4750] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^10 - (10*z^6)/a^8 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[13, Alternating, 4751] -> -a^(-4) + 2/a^2 - 4*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[13, Alternating, 4752] -> 1 + 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4753] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4754] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 4755] -> 2*a^4 + a^6 - 3*a^8 + a^10 - z^2 - a^2*z^2 + 
   5*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 6*a^4*z^4 + 
   7*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6, 
 Knot[13, Alternating, 4756] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + a^2*z^4 + 
   a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   3*a^8*z^6, Knot[13, Alternating, 4757] -> 2/a^14 - 9/a^12 + 8/a^10 - 
   (14*z^2)/a^12 + (20*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^14 - 
   (4*z^4)/a^12 + (19*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4758] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (7*z^2)/a^6 - (19*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + (9*z^4)/a^6 - (29*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[13, Alternating, 4759] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 5*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, Alternating, 4760] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, Alternating, 4761] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 2*a^2*z^2 + 
   2*a^4*z^2 + 13*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   16*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4762] -> 
  2*a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   5*z^4 - z^4/a^2 - 4*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, Alternating, 4763] -> 
  -5/a^12 + 6/a^10 - (4*z^2)/a^14 - (10*z^2)/a^12 + (27*z^2)/a^10 + 
   (2*z^2)/a^8 - (4*z^4)/a^14 - (2*z^4)/a^12 + (36*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4764] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - (2*z^2)/a^14 - (4*z^2)/a^12 + 
   (9*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 + (12*z^4)/a^10 + (13*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4765] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 7*a^2*z^2 - 
   22*a^4*z^2 + 30*a^6*z^2 - 10*a^8*z^2 + 5*a^2*z^4 - 28*a^4*z^4 + 
   39*a^6*z^4 - 12*a^8*z^4 + a^2*z^6 - 13*a^4*z^6 + 25*a^6*z^6 - 6*a^8*z^6 - 
   2*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, Alternating, 4766] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4767] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 4*a^4*z^2 + 8*a^6*z^2 - 15*a^8*z^2 + 
   14*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 + a^6*z^4 - 18*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 4768] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   5*a^10*z^2 - a^12*z^2 + a^2*z^4 - 7*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, Knot[13, Alternating, 4769] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 + a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4 - 4*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 
   2*a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 4770] -> -5/a^12 + 6/a^10 - (2*z^2)/a^14 - 
   (12*z^2)/a^12 + (25*z^2)/a^10 + (4*z^2)/a^8 - (3*z^4)/a^14 - 
   (5*z^4)/a^12 + (33*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4771] -> a^(-14) - 7/a^12 + 7/a^10 - z^2/a^14 - 
   (9*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 - 
   z^4/a^12 + (14*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4772] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - (2*z^2)/a^14 - (2*z^2)/a^12 + 
   (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4773] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (4*z^4)/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4774] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) - (14*z^2)/a^12 + (19*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^4/a^14 - (4*z^4)/a^12 + (19*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4775] -> 1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, Alternating, 4776] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^12 + (8*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4777] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 
   2*a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 4778] -> 2*a^4 + a^6 - 3*a^8 + a^10 - z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 4779] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, Alternating, 4780] -> a^(-14) - 7/a^12 + 7/a^10 - (2*z^2)/a^14 - 
   (9*z^2)/a^12 + (18*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^14 + 
   (16*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4781] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - (3*z^2)/a^12 + (5*z^2)/a^10 + 
   (9*z^2)/a^8 + (3*z^2)/a^6 + z^4/a^12 + (5*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4782] -> 
  1 - 4*a^4 + 8*a^6 - 4*a^8 + 3*z^2 - 4*a^2*z^2 - 6*a^4*z^2 + 16*a^6*z^2 - 
   5*a^8*z^2 + z^4 - 7*a^2*z^4 - a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, Alternating, 4783] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, Alternating, 4784] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6, Knot[13, Alternating, 4785] -> 
  2*a^4 - a^6 + a^10 - a^12 + z^2 + 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 + 3*a^10*z^2 - a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4, 
 Knot[13, Alternating, 4786] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - 2*a^2*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, Alternating, 4787] -> 
  a^(-14) - 7/a^12 + 7/a^10 - z^2/a^14 - (15*z^2)/a^12 + (26*z^2)/a^10 + 
   (4*z^2)/a^8 - (3*z^4)/a^14 - (6*z^4)/a^12 + (33*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^14 + (2*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4788] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (2*z^2)/a^14 - (3*z^2)/a^12 + (7*z^2)/a^10 + 
   (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4789] -> a^(-14) - 6/a^12 + 5/a^10 + 
   a^(-8) - z^2/a^14 - (8*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 - z^4/a^12 + (13*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4790] -> -2/a^12 + 3/a^8 - z^2/a^14 - (2*z^2)/a^12 + 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   (4*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 4791] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^2 + z^4/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[13, Alternating, 4792] -> 5*a^6 - 5*a^8 + a^10 - 4*a^2*z^2 + 
   4*a^4*z^2 + 16*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[13, Alternating, 4793] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - 2*z^2 + a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, Alternating, 4794] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4795] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 4*a^4*z^2 + 
   5*a^6*z^2 - 8*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 
   13*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 9*a^8*z^6 + 
   3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, Knot[13, Alternating, 4796] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4797] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 4798] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, Alternating, 4799] -> -2/a^14 + 2/a^10 + a^(-8) - (4*z^2)/a^14 - 
   (5*z^2)/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 - (4*z^4)/a^14 - z^4/a^12 + 
   (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4800] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   (2*z^2)/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + (11*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4801] -> 
  -a^(-14) - 3/a^12 + 5/a^10 - (4*z^2)/a^14 - (7*z^2)/a^12 + (23*z^2)/a^10 + 
   (4*z^2)/a^8 - (4*z^4)/a^14 - z^4/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4802] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - (2*z^2)/a^14 - (4*z^2)/a^12 + 
   (12*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (13*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4803] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   2*z^2 - a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + z^4 - 5*a^2*z^4 - 
   2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, Alternating, 4804] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, Alternating, 4805] -> -4/a^12 + 4/a^10 + a^(-8) - z^2/a^14 - 
   (8*z^2)/a^12 + (14*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^14 - 
   (2*z^4)/a^12 + (15*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4806] -> 
  -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4807] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + z^2 + (3*z^2)/a^10 + 
   (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[13, Alternating, 4808] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 - z^2/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4809] -> 4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 2*a^4*z^2 + 
   10*a^6*z^2 - 13*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 + 
   4*a^6*z^4 - 15*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   9*a^8*z^6 + 3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[13, Alternating, 4810] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   2*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, Alternating, 4811] -> 2*a^4 + a^6 - 3*a^8 + a^10 - z^2/a^2 + 
   a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4, Knot[13, Alternating, 4812] -> 
  -5/a^12 + 6/a^10 - (2*z^2)/a^14 - (6*z^2)/a^12 + (15*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4813] -> -4/a^12 + 4/a^10 + a^(-8) - z^2/a^14 - 
   (3*z^2)/a^12 + (8*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 4814] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[13, Alternating, 4815] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4816] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   (4*z^2)/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, Alternating, 4817] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, Alternating, 4818] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 - z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, Alternating, 4819] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 2*a^4*z^2 + 
   12*a^6*z^2 - 18*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 + 
   5*a^6*z^4 - 19*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   10*a^8*z^6 + 3*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[13, Alternating, 4820] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 4*a^4*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^2*z^4 + 
   a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   2*a^8*z^6, Knot[13, Alternating, 4821] -> a^(-14) - 7/a^12 + 7/a^10 - 
   z^2/a^14 - (10*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 - (2*z^4)/a^12 + (16*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4822] -> -3/a^14 + a^(-12) + 3/a^10 - (13*z^2)/a^14 + 
   (9*z^2)/a^12 + (22*z^2)/a^10 - (16*z^4)/a^14 + (24*z^4)/a^12 + 
   (40*z^4)/a^10 - (7*z^6)/a^14 + (22*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[13, Alternating, 4823] -> -3/a^14 + 2/a^12 + a^(-10) + a^(-8) - 
   (7*z^2)/a^14 + (4*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - (5*z^4)/a^14 + 
   (7*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4824] -> -2/a^14 - a^(-12) + 4/a^10 - (7*z^2)/a^14 + 
   (2*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 - (5*z^4)/a^14 + (7*z^4)/a^12 + 
   (23*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4825] -> -2/a^14 + 2/a^10 + a^(-8) - (3*z^2)/a^14 + 
   (9*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4826] -> 
  -a^(-14) - 3/a^12 + 5/a^10 - (4*z^2)/a^14 - (5*z^2)/a^12 + (19*z^2)/a^10 + 
   (6*z^2)/a^8 - (4*z^4)/a^14 + (2*z^4)/a^12 + (24*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4827] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - (2*z^2)/a^14 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4828] -> 
  -2/a^14 - a^(-12) + 4/a^10 - (7*z^2)/a^14 - (4*z^2)/a^12 + (28*z^2)/a^10 - 
   (11*z^4)/a^14 + (8*z^4)/a^12 + (45*z^4)/a^10 - (6*z^6)/a^14 + 
   (15*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[13, Alternating, 4829] -> 
  -3/a^14 + 3/a^12 - a^(-10) + 2/a^8 - (7*z^2)/a^14 + (10*z^2)/a^12 + 
   (13*z^2)/a^8 - (5*z^4)/a^14 + (12*z^4)/a^12 + (6*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[13, Alternating, 4830] -> 
  -a^(-14) - 3/a^12 + 5/a^10 - (4*z^2)/a^14 - (3*z^2)/a^12 + (15*z^2)/a^10 + 
   (8*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + (20*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4831] -> 
  -2/a^14 + a^(-12) + 2/a^8 - (3*z^2)/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (6*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4832] -> -5/a^12 + 6/a^10 - (2*z^2)/a^14 - 
   (8*z^2)/a^12 + (17*z^2)/a^10 + (8*z^2)/a^8 - (3*z^4)/a^14 - z^4/a^12 + 
   (21*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4833] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (2*z^2)/a^14 + (5*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + 
   (2*z^4)/a^12 + (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4834] -> 
  -3/a^14 + 3/a^12 + a^(-6) - (4*z^2)/a^14 + (7*z^2)/a^12 + (3*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 - z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4835] -> -2/a^14 + a^(-12) + a^(-10) + a^(-6) - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 4836] -> -a^(-14) - a^(-12) + 2/a^10 + 
   a^(-6) - z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 4837] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[13, Alternating, 4838] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, Alternating, 4839] -> -a^(-14) - 3/a^12 + 5/a^10 - (3*z^2)/a^14 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   (2*z^4)/a^12 + (13*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4840] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - z^2/a^14 - z^2/a^12 + (6*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (4*z^4)/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4841] -> 
  -5/a^12 + 6/a^10 - (2*z^2)/a^14 - (4*z^2)/a^12 + (13*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (11*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4842] -> -a^(-14) - a^(-12) + a^(-10) + 
   2/a^8 - z^2/a^14 + (5*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 4843] -> -a^(-14) - a^(-12) + 2/a^10 + 
   a^(-6) + z^2/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2, Knot[13, Alternating, 4844] -> 
  1 - 10*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   16*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 
   2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, Alternating, 4845] -> 
  2 - 2*a^2 + a^4 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, Alternating, 4846] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   4*z^4 - (2*z^4)/a^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, Alternating, 4847] -> 2 - 2*a^2 + a^4 - 5*z^2 + (2*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 - 
   9*z^6 + z^6/a^2 + 14*a^2*z^6 - 4*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, Alternating, 4848] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, Alternating, 4849] -> -5/a^12 + 6/a^10 - (4*z^2)/a^14 - 
   (8*z^2)/a^12 + (23*z^2)/a^10 + (4*z^2)/a^8 - (4*z^4)/a^14 - z^4/a^12 + 
   (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4850] -> -4/a^12 + 4/a^10 + a^(-8) - (2*z^2)/a^14 - 
   (6*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + 
   (14*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4851] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - (3*z^2)/a^12 + (6*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (5*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4852] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - (3*z^2)/a^14 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4853] -> -a^(-14) - a^(-12) + a^(-10) + 
   2/a^8 - z^2/a^14 + (4*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 4854] -> -4/a^12 + 4/a^10 + a^(-8) - (2*z^2)/a^14 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + 
   (2*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4855] -> 
  -a^(-14) - a^(-10) + 3/a^8 - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4856] -> 
  -a^(-14) + a^(-8) + a^(-6) + z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2, Knot[13, Alternating, 4857] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + z^2 + (3*z^2)/a^10 - z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[13, Alternating, 4858] -> 
  -2/a^14 - a^(-12) + 4/a^10 - (4*z^2)/a^14 - (7*z^2)/a^12 + (25*z^2)/a^10 + 
   (3*z^2)/a^8 - (4*z^4)/a^14 - (2*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4859] -> 
  -a^(-14) - 3/a^12 + 5/a^10 - (2*z^2)/a^14 - (4*z^2)/a^12 + (12*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 + (12*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, Alternating, 4860] -> -5/a^12 + 6/a^10 - z^2/a^14 - (7*z^2)/a^12 + 
   (14*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 - z^4/a^12 + 
   (13*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4861] -> 
  -4/a^12 + 4/a^10 + a^(-8) - z^2/a^14 - (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (4*z^4)/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4862] -> 
  -4/a^14 + 3/a^12 + 2/a^10 - (14*z^2)/a^14 + (12*z^2)/a^12 + (21*z^2)/a^10 - 
   (16*z^4)/a^14 + (25*z^4)/a^12 + (40*z^4)/a^10 - (7*z^6)/a^14 + 
   (22*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[13, Alternating, 4863] -> 
  -3/a^14 + a^(-12) + 3/a^10 - (7*z^2)/a^14 + (3*z^2)/a^12 + (16*z^2)/a^10 + 
   (6*z^2)/a^8 - (5*z^4)/a^14 + (7*z^4)/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[13, Alternating, 4864] -> 
  -2/a^14 - a^(-12) + 4/a^10 - (5*z^2)/a^14 + (14*z^2)/a^10 + (8*z^2)/a^8 - 
   (4*z^4)/a^14 + (4*z^4)/a^12 + (20*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[13, Alternating, 4865] -> -2/a^14 - a^(-12) + 4/a^10 - 
   (3*z^2)/a^14 + (10*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + 
   (2*z^4)/a^12 + (10*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4866] -> 
  -4/a^14 + 4/a^12 + a^(-8) - (10*z^2)/a^14 + (14*z^2)/a^12 + (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (6*z^4)/a^14 + (16*z^4)/a^12 + (10*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[13, Alternating, 4867] -> 
  -3/a^14 + 2/a^12 + a^(-10) + a^(-8) - (4*z^2)/a^14 + (4*z^2)/a^12 + 
   (7*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + (4*z^4)/a^12 + 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4868] -> 
  -2/a^14 + 2/a^10 + a^(-8) - (3*z^2)/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, Alternating, 4869] -> -2/a^14 + 2/a^10 + a^(-8) - 
   z^2/a^14 + z^2/a^12 + (5*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, Alternating, 4870] -> -a^(-14) - 3/a^12 + 5/a^10 - (2*z^2)/a^14 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + 
   z^4/a^12 + (11*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4871] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - z^2/a^14 + (6*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4872] -> 
  -2/a^14 + a^(-12) + 2/a^8 - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[13, Alternating, 4873] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 + z^2/a^12 + (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2, 
 Knot[13, Alternating, 4874] -> -5/a^14 + 5/a^12 + a^(-10) - (20*z^2)/a^14 + 
   (25*z^2)/a^12 + (15*z^2)/a^10 - (21*z^4)/a^14 + (41*z^4)/a^12 + 
   (35*z^4)/a^10 - (8*z^6)/a^14 + (29*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[13, Alternating, 4875] -> -4/a^14 + 3/a^12 + 2/a^10 - (10*z^2)/a^14 + 
   (8*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - (6*z^4)/a^14 + 
   (11*z^4)/a^12 + (26*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, Alternating, 4876] -> -3/a^14 + a^(-12) + 3/a^10 - (4*z^2)/a^14 + 
   z^2/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^14 + 
   (3*z^4)/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, Alternating, 4877] -> 
  -2/a^14 - a^(-12) + 4/a^10 - z^2/a^14 + (6*z^2)/a^10 + (8*z^2)/a^8 + 
   (4*z^2)/a^6 + z^4/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[13, Alternating, 4878] -> -6/a^14 + 7/a^12 - (35*z^2)/a^14 + 
   (56*z^2)/a^12 - (56*z^4)/a^14 + (126*z^4)/a^12 - (36*z^6)/a^14 + 
   (120*z^6)/a^12 - (10*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[13, NonAlternating, 1] -> 
  a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 2] -> 7 + 2/a^4 - 5/a^2 - 5*a^2 + 2*a^4 + 14*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (12*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + 
   (4*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 3] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 4] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 5] -> 2 - a^(-10) + 3/a^8 - 5/a^6 + 6/a^4 - 4/a^2 + 
   3*z^2 + (5*z^2)/a^8 - (11*z^2)/a^6 + (13*z^2)/a^4 - (9*z^2)/a^2 + z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 6] -> 
  1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 7] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 8] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, Knot[13, NonAlternating, 9] -> 
  4 + a^(-4) - 2/a^2 - 6*a^2 + 6*a^4 - 2*a^6 + 10*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 15*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 10*z^4 - (4*z^4)/a^2 - 
   12*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 10] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   4*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[13, NonAlternating, 11] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 3*a^2*z^2 - 6*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[13, NonAlternating, 12] -> -a^(-12) + a^(-10) + 2/a^8 - 
   5/a^6 + 4/a^4 - z^2/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (8*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 13] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 3*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, Knot[13, NonAlternating, 14] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - z^2 + z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - z^4 - 2*a^2*z^4 - 2*a^4*z^4, 
 Knot[13, NonAlternating, 15] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 
   2/a^2 + (3*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 16] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 - a^8*z^4, Knot[13, NonAlternating, 17] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 18] -> 
  2*a^4 - a^6 + a^8 - a^10 + 4*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - 
   a^12*z^2 + 2*a^4*z^4 - a^6*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 19] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 20] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^4 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[13, NonAlternating, 21] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6, Knot[13, NonAlternating, 22] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 
   2*a^2 + 9*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 23] -> 
  1 - a^2 + 4*a^4 - 6*a^6 + 4*a^8 - a^10 + z^2 - 4*a^2*z^2 + 9*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 24] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 25] -> 
  3 - 6*a^2 + 5*a^4 - a^8 + 5*z^2 - 13*a^2*z^2 + 9*a^4*z^2 + 3*z^4 - 
   12*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 26] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   z^2/a^12 + z^2/a^10 + (7*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 + 
   (2*z^4)/a^10 + (4*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 27] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 28] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 29] -> 2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 + 
   5*a^4*z^2 - 6*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 4*a^4*z^4 - 8*a^6*z^4 + 
   9*a^8*z^4 - a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 30] -> 2 - a^(-8) - a^(-6) + 6/a^4 - 5/a^2 + 
   3*z^2 - (2*z^2)/a^6 + (12*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 31] -> 2 - 2*a^2 - 2*a^4 + 6*a^6 - 
   3*a^8 + 3*z^2 - 2*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + z^4 - 
   a^2*z^4 - 13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 32] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 + z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 33] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 11*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 34] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 
   a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 35] -> -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 3*z^2 + 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 36] -> 
  -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 + z^2/a^2 - 5*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 37] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 38] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 9*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^2, Knot[13, NonAlternating, 39] -> 
  1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 + 3*z^2 - (4*z^2)/a^6 + 
   (9*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 40] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - a^2*z^6, Knot[13, NonAlternating, 41] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + z^2 + z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   6*a^6*z^2 - 2*z^4 - a^2*z^4 - 5*a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 42] -> -a^(-12) + a^(-10) + 2/a^8 - 5/a^6 + 4/a^4 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (8*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 43] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - a^4*z^6, Knot[13, NonAlternating, 44] -> 
  a^4 + a^6 - a^10 + 4*a^4*z^2 - 2*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 
   4*a^4*z^4 - 7*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 
   2*a^8*z^6 - a^6*z^8, Knot[13, NonAlternating, 45] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 46] -> 1 + a^2 - 6*a^4 + 9*a^6 - 4*a^8 + 3*z^2 + 
   a^2*z^2 - 16*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 + z^4 - 17*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 47] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 48] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 14*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[13, NonAlternating, 49] -> 
  2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 2*a^4*z^2 + 3*a^8*z^2 - a^10*z^2 + 
   a^2*z^4 - a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 50] -> 1 - a^(-8) + 3/a^4 - 2/a^2 - z^2 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 51] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 2*z^2 + z^2/a^2 - 6*a^2*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 5*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 52] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 53] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 54] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (5*z^2)/a^8 + (15*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 55] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 11*a^6*z^2 - 
   9*a^8*z^2 + 8*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 9*a^8*z^4 + 8*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 5*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 56] -> -3/a^12 + 9/a^10 - 12/a^8 + 7/a^6 - 
   (6*z^2)/a^12 + (26*z^2)/a^10 - (35*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^4)/a^12 + (25*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + 
   (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 57] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^2 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 58] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 
   2*a^4*z^4 - a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 59] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^4 + (7*z^4)/a^10 - 
   (10*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 60] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + z^4 - 
   4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 61] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^6, Knot[13, NonAlternating, 62] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + z^4/a^6, Knot[13, NonAlternating, 63] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 2*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - (5*z^4)/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^4, Knot[13, NonAlternating, 64] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 65] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 66] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 9*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 67] -> 
  1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 + 3*z^2 - (4*z^2)/a^6 + 
   (9*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 68] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - a^2*z^6, Knot[13, NonAlternating, 69] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 2*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - (5*z^4)/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^4, Knot[13, NonAlternating, 70] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 71] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 72] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 9*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 73] -> 
  1 - a^2 + 4*a^4 - 6*a^6 + 4*a^8 - a^10 + z^2 - 4*a^2*z^2 + 9*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 74] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 75] -> 
  3 - 6*a^2 + 5*a^4 - a^8 + 5*z^2 - 13*a^2*z^2 + 9*a^4*z^2 + 3*z^4 - 
   12*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 76] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   z^2/a^12 + z^2/a^10 + (7*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 + 
   (2*z^4)/a^10 + (4*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 77] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 78] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 79] -> 2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 + 
   5*a^4*z^2 - 6*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 4*a^4*z^4 - 8*a^6*z^4 + 
   9*a^8*z^4 - a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 80] -> 2 - a^(-8) - a^(-6) + 6/a^4 - 5/a^2 + 
   3*z^2 - (2*z^2)/a^6 + (12*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 81] -> 2 - 2*a^2 - 2*a^4 + 6*a^6 - 
   3*a^8 + 3*z^2 - 2*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + z^4 - 
   a^2*z^4 - 13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 82] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 + z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 83] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 11*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 84] -> 
  -1 + a^(-8) - 3/a^6 + 5/a^4 - 3/a^2 + 2*a^2 - 2*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 85] -> 8 + 2/a^4 - 6/a^2 - 4*a^2 + a^4 + 14*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (13*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 11*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 86] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 87] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 88] -> 3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 7*z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (13*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 + 
   (8*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 89] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   3*z^2 - z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 90] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - 4*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + z^4 - 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 91] -> -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 
   3/a^4 - z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (5*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 92] -> 2*a^4 - a^6 + a^10 - a^12 + 4*a^4*z^2 + 
   3*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 93] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 2*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 94] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 12*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 95] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 6*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 96] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 97] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 98] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 99] -> -a^(-4) + 2/a^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 100] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 101] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 102] -> 
  1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 103] -> 1 - a^(-10) + 3/a^8 - 5/a^6 + 5/a^4 - 
   2/a^2 + 3*z^2 + (5*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 104] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 105] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + 
   z^4 + z^4/a^8 - (8*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 106] -> 
  1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + z^2 - 3*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 107] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[13, NonAlternating, 108] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 109] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 
   2*a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, 
 Knot[13, NonAlternating, 110] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - z^4 - 3*a^2*z^4 - 2*a^4*z^4, 
 Knot[13, NonAlternating, 111] -> -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 
   3/a^4 + (3*z^2)/a^10 + z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 112] -> 
  2*a^4 - a^6 + a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 2*a^10*z^2 - a^6*z^4 - 
   a^8*z^4, Knot[13, NonAlternating, 113] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[13, NonAlternating, 114] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 4*z^2 - z^2/a^2 - 9*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 115] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 116] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 8*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 117] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + 
   a^4 + 2*z^2 - (2*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 118] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + a^2*z^4 - 4*a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 119] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-2) + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 120] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 
   2*a^10 - a^12 + 2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 121] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 122] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[13, NonAlternating, 123] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 
   3/a^4 - a^(-2) + z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - (4*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 124] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 
   9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 
   10*z^4 - (4*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, NonAlternating, 125] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[13, NonAlternating, 126] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 5*a^4*z^2 - 5*a^6*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 + 4*a^4*z^4 - 8*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + a^4*z^6 - 
   5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, Knot[13, NonAlternating, 127] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + (10*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 128] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 3*a^2*z^2 - 8*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 + z^4 - a^2*z^4 - 12*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 129] -> -2 + a^(-4) + 2*a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 130] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 131] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (6*z^2)/a^8 + (17*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 132] -> 4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 
   12*a^6*z^2 - 11*a^8*z^2 + 10*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 
   10*a^8*z^4 + 8*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 5*a^8*z^6 + 2*a^10*z^6 - 
   a^8*z^8, Knot[13, NonAlternating, 133] -> -3/a^12 + 8/a^10 - 10/a^8 + 
   6/a^6 - (5*z^2)/a^12 + (24*z^2)/a^10 - (33*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^4)/a^12 + (24*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + 
   (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 134] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 135] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 4*a^4*z^2 + a^6*z^2 + 3*a^10*z^2 - 
   a^12*z^2 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 136] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (11*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (7*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 137] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4, Knot[13, NonAlternating, 138] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 9*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 139] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 7*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[13, NonAlternating, 140] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 141] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^6 + z^4/a^4, 
 Knot[13, NonAlternating, 142] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - 4*a^6*z^4 + 
   4*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, Knot[13, NonAlternating, 143] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 - z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 144] -> 2 - 2*a^2 - a^4 + 4*a^6 - 
   2*a^8 + z^2 + z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 145] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 + 2*a^2*z^2 - 
   a^4*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 146] -> 1 - 2*a^2 + 6*a^4 - 7*a^6 + 4*a^8 - a^10 + 
   2*z^2 - 7*a^2*z^2 + 14*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 + z^4 - 
   7*a^2*z^4 + 11*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 147] -> 
  7 - a^(-6) + 3/a^4 - 5/a^2 - 4*a^2 + a^4 + 14*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (12*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 11*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 148] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 149] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 150] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   5*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 151] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + 
   (7*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 152] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 153] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 154] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   5*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 155] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + 
   (7*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 156] -> a^2 - a^4 + 2*a^6 - a^10 + 2*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 157] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 3*z^2 + (3*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 158] -> -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 
   2*a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   z^4 - 5*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 159] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 160] -> 2 - a^(-10) + 4/a^8 - 7/a^6 + 7/a^4 - 
   4/a^2 + 2*z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 161] -> 7 + 2/a^4 - 5/a^2 - 6*a^2 + 4*a^4 - a^6 + 
   10*z^2 + z^2/a^4 - (7*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   6*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 162] -> 3 - a^(-10) + 4/a^8 - 7/a^6 + 8/a^4 - 
   6/a^2 + 4*z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + 
   z^4 - (7*z^4)/a^6 + (12*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 163] -> 
  8 + 2/a^4 - 5/a^2 - 8*a^2 + 5*a^4 - a^6 + 14*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   16*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 12*z^4 - (4*z^4)/a^2 - 11*a^2*z^4 + 
   3*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 164] -> 7 - a^(-6) + 4/a^4 - 6/a^2 - 5*a^2 + 
   2*a^4 + 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 165] -> 2 - 4*a^2 + 7*a^4 - 7*a^6 + 4*a^8 - a^10 + 
   2*z^2 - 7*a^2*z^2 + 11*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 4*a^2*z^4 + 
   6*a^4*z^4 - 5*a^6*z^4 + 2*a^4*z^6, Knot[13, NonAlternating, 166] -> 
  9 - a^(-6) + 4/a^4 - 7/a^2 - 6*a^2 + 2*a^4 + 16*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (14*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 167] -> 8 - a^(-6) + 4/a^4 - 7/a^2 - 4*a^2 + a^4 + 
   11*z^2 - z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 168] -> 
  2 - 5*a^2 + 8*a^4 - 6*a^6 + 3*a^8 - a^10 + 3*z^2 - 9*a^2*z^2 + 12*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + z^4 - 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 169] -> 
  2 - a^(-10) + 4/a^8 - 8/a^6 + 9/a^4 - 5/a^2 + 3*z^2 + (5*z^2)/a^8 - 
   (13*z^2)/a^6 + (16*z^2)/a^4 - (10*z^2)/a^2 + z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (11*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 170] -> 1 - 2*a^2 + 6*a^4 - 7*a^6 + 
   4*a^8 - a^10 + 2*z^2 - 7*a^2*z^2 + 14*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 + 
   z^4 - 7*a^2*z^4 + 11*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 171] -> 
  7 - a^(-6) + 3/a^4 - 5/a^2 - 4*a^2 + a^4 + 14*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (12*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 11*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 172] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 173] -> 8 + 2/a^4 - 5/a^2 - 7*a^2 + 3*a^4 + 
   12*z^2 + z^2/a^4 - (8*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 2*z^6, Knot[13, NonAlternating, 174] -> 
  2 - a^(-10) + 4/a^8 - 7/a^6 + 7/a^4 - 4/a^2 + 2*z^2 + (4*z^2)/a^8 - 
   (10*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 - (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^4, Knot[13, NonAlternating, 175] -> 
  3 - a^(-10) + 4/a^8 - 7/a^6 + 8/a^4 - 6/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (11*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (7*z^4)/a^6 + 
   (12*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 176] -> 7 + 2/a^4 - 5/a^2 - 6*a^2 + 
   4*a^4 - a^6 + 10*z^2 + z^2/a^4 - (7*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 177] -> 8 + 2/a^4 - 5/a^2 - 8*a^2 + 5*a^4 - a^6 + 
   14*z^2 + z^2/a^4 - (8*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 
   12*z^4 - (4*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[13, NonAlternating, 178] -> 
  9 - a^(-6) + 4/a^4 - 7/a^2 - 6*a^2 + 2*a^4 + 16*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (14*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 179] -> 8 - a^(-6) + 4/a^4 - 7/a^2 - 4*a^2 + a^4 + 
   11*z^2 - z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 180] -> 
  2 - 5*a^2 + 8*a^4 - 6*a^6 + 3*a^8 - a^10 + 3*z^2 - 9*a^2*z^2 + 12*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + z^4 - 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 181] -> 
  2 - a^(-10) + 4/a^8 - 8/a^6 + 9/a^4 - 5/a^2 + 3*z^2 + (5*z^2)/a^8 - 
   (13*z^2)/a^6 + (16*z^2)/a^4 - (10*z^2)/a^2 + z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (11*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 182] -> 8 + 2/a^4 - 5/a^2 - 7*a^2 + 
   3*a^4 + 12*z^2 + z^2/a^4 - (8*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 2*z^6, Knot[13, NonAlternating, 183] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - (7*z^2)/a^8 + (20*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (18*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 184] -> 4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + 
   13*a^6*z^2 - 14*a^8*z^2 + 14*a^10*z^2 - 4*a^12*z^2 + 10*a^6*z^4 - 
   13*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 6*a^8*z^6 + 2*a^10*z^6 - 
   a^8*z^8, Knot[13, NonAlternating, 185] -> -3/a^12 + 7/a^10 - 8/a^8 + 
   5/a^6 - (4*z^2)/a^12 + (21*z^2)/a^10 - (29*z^2)/a^8 + (20*z^2)/a^6 - 
   z^4/a^12 + (21*z^4)/a^10 - (42*z^4)/a^8 + (21*z^4)/a^6 + (8*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 186] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 187] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 
   4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 188] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (6*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 189] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 190] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 5*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 191] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 192] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 10*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 
   a^8*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 193] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 + 
   z^4 - 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 194] -> 2 - 2*a^2 + a^4 + 3*z^2 - 5*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 195] -> 2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 - z^4 - 3*a^2*z^4 - a^4*z^4, 
 Knot[13, NonAlternating, 196] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 197] -> 
  2*a^4 - 2*a^6 + 2*a^8 - a^12 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + 2*a^10*z^2 - 2*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 198] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^2 + z^4/a^6 + z^4/a^4 + 
   z^4/a^2, Knot[13, NonAlternating, 199] -> a^2 - a^4 + 2*a^6 - a^8 + a^10 - 
   a^12 + 2*a^2*z^2 + 2*a^6*z^2 + 2*a^10*z^2 - a^4*z^4 - a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 200] -> -a^(-12) + 2/a^10 - 3/a^8 + 3/a^6 - 
   a^(-4) + a^(-2) + (4*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 201] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^2 - 2*a^4*z^2 + a^6*z^2 - 
   z^4 - a^2*z^4 - a^4*z^4, Knot[13, NonAlternating, 202] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 203] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (10*z^2)/a^2 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^4, Knot[13, NonAlternating, 204] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 7*a^4*z^2 - 9*a^6*z^2 + 10*a^8*z^2 - 
   2*a^10*z^2 + 3*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 - 2*a^6*z^6, 
 Knot[13, NonAlternating, 205] -> 1 - 2*a^2 + 5*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   2*z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 4*a^2*z^4 + 
   5*a^4*z^4 - 5*a^6*z^4 + 2*a^4*z^6, Knot[13, NonAlternating, 206] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 207] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 + 
   (7*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^10 + (3*z^4)/a^8 - 
   (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 208] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 - 
   (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 209] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - 12*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - 11*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 210] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^6 + 
   (2*z^4)/a^4, Knot[13, NonAlternating, 211] -> 
  2 - 5*a^2 + 9*a^4 - 8*a^6 + 4*a^8 - a^10 + 3*z^2 - 10*a^2*z^2 + 
   16*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 + z^4 - 8*a^2*z^4 + 11*a^4*z^4 - 
   9*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 212] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   9*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 213] -> 
  1 - 2*a^2 + 5*a^4 - 5*a^6 + 3*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 - 4*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 214] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 3*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 215] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 10*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 2*z^6, 
 Knot[13, NonAlternating, 216] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - 2*a^2*z^6, Knot[13, NonAlternating, 217] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 6*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 218] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 219] -> 2 - a^(-6) + a^(-4) - a^2 + 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - z^4 + (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 220] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 221] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 222] -> 
  -2*a^2 + 5*a^4 + a^6 - 4*a^8 + a^10 - 5*a^2*z^2 + 11*a^4*z^2 + 7*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 9*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 223] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 + z^6/a^6, Knot[13, NonAlternating, 224] -> 
  -a^(-16) + 7/a^14 - 13/a^12 + 5/a^10 + 3/a^8 + (7*z^2)/a^14 - 
   (27*z^2)/a^12 + (18*z^2)/a^10 + (10*z^2)/a^8 + z^4/a^14 - (17*z^4)/a^12 + 
   (23*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 225] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^4)/a^8 + (19*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 226] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (15*z^2)/a^6 + (5*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 227] -> -5 - 6/a^4 + 12/a^2 - 10*z^2 - z^2/a^6 - 
   (8*z^2)/a^4 + (25*z^2)/a^2 - 6*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 228] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 229] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6, Knot[13, NonAlternating, 230] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   5*z^2 + z^2/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + (2*z^6)/a^2, Knot[13, NonAlternating, 231] -> 
  -2 - a^(-2) + 10*a^2 - 7*a^4 + a^6 - 2*z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + z^6 + 
   3*a^2*z^6, Knot[13, NonAlternating, 232] -> -a^(-12) + 5/a^10 - 9/a^8 + 
   5/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[13, NonAlternating, 233] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 3*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 234] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 235] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^8 - 
   (7*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 236] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 9*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 
   5*a^4*z^2 + 7*z^4 - z^4/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 237] -> 
  -2 + 2/a^6 - 9/a^4 + 11/a^2 - a^2 - 3*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (22*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 238] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 5*z^2 + 
   18*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 239] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 8*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 240] -> -8 + 2/a^6 - 13/a^4 + 20/a^2 - 20*z^2 + 
   (3*z^2)/a^6 - (28*z^2)/a^4 + (52*z^2)/a^2 - 18*z^4 + z^4/a^6 - 
   (23*z^4)/a^4 + (57*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (32*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 241] -> 
  -a^(-16) + 9/a^14 - 20/a^12 + 13/a^10 + (11*z^2)/a^14 - (47*z^2)/a^12 + 
   (45*z^2)/a^10 + (3*z^4)/a^14 - (37*z^4)/a^12 + (59*z^4)/a^10 - 
   (11*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[13, NonAlternating, 242] -> 3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 243] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[13, NonAlternating, 244] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - z^4 + 
   7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 245] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^10 - 
   (7*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 246] -> 
  -5*a^4 + 18*a^6 - 16*a^8 + 4*a^10 - 15*a^4*z^2 + 50*a^6*z^2 - 33*a^8*z^2 + 
   5*a^10*z^2 - 16*a^4*z^4 + 55*a^6*z^4 - 26*a^8*z^4 + 2*a^10*z^4 - 
   7*a^4*z^6 + 31*a^6*z^6 - 9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[13, NonAlternating, 247] -> -3 + a^(-8) - 5/a^6 + 3/a^4 + 
   5/a^2 - 7*z^2 + z^2/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + (12*z^2)/a^2 - 
   5*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 248] -> a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 249] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 250] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 251] -> 3 - a^(-10) + 3/a^8 - 4/a^6 + 5/a^4 - 
   5/a^2 + 4*z^2 + (5*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - (11*z^2)/a^2 + 
   z^4 + z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 - (9*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 252] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 2*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[13, NonAlternating, 253] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 254] -> -6 + a^(-6) - 9/a^4 + 15/a^2 - 17*z^2 + 
   (3*z^2)/a^6 - (24*z^2)/a^4 + (44*z^2)/a^2 - 17*z^4 + z^4/a^6 - 
   (22*z^4)/a^4 + (52*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (31*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 255] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (3*z^2)/a^10 - (13*z^2)/a^8 + 
   (14*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 256] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 257] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 3*z^2 + 
   14*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - z^4 + 9*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 258] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 259] -> 
  -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 14*a^4*z^2 + 45*a^6*z^2 - 26*a^8*z^2 + 
   3*a^10*z^2 - 16*a^4*z^4 + 53*a^6*z^4 - 22*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 
   31*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 260] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 7*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (15*z^2)/a^2 - 5*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 261] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 262] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 263] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - 
   z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 264] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 265] -> 
  -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 4*a^2*z^2 + 6*a^4*z^2 + 14*a^6*z^2 - 
   10*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 13*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 266] -> -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 - 
   (3*z^2)/a^12 + (21*z^2)/a^10 - (40*z^2)/a^8 + (24*z^2)/a^6 - z^4/a^12 + 
   (21*z^4)/a^10 - (48*z^4)/a^8 + (22*z^4)/a^6 + (8*z^6)/a^10 - 
   (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 267] -> -2 - 3/a^4 + 6/a^2 - 10*z^2 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 268] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 269] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - (6*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 270] -> -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 
   3/a^4 - z^2/a^12 + (9*z^2)/a^10 - (13*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (12*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 271] -> -3 - a^(-6) + 4/a^2 + a^2 - 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 272] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 273] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 274] -> a^(-10) - 3/a^8 - 2/a^6 + 8/a^4 - 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (17*z^2)/a^4 - (7*z^2)/a^2 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 + (14*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 275] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 4*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (10*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 276] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^4, Knot[13, NonAlternating, 277] -> -a^(-12) + 3/a^10 - 7/a^6 + 
   6/a^4 - z^2/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (11*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 278] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 279] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 280] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^4 + 3/a^2 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 281] -> 
  -3 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 4*z^2 + (2*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[13, NonAlternating, 282] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^6, 
 Knot[13, NonAlternating, 283] -> -a^(-16) + 7/a^14 - 13/a^12 + 5/a^10 + 
   3/a^8 + (7*z^2)/a^14 - (27*z^2)/a^12 + (18*z^2)/a^10 + (10*z^2)/a^8 + 
   z^4/a^14 - (17*z^4)/a^12 + (23*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 284] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (15*z^2)/a^6 + (5*z^4)/a^10 - 
   (14*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 285] -> 2/a^10 - 9/a^8 + 10/a^6 - 
   2/a^4 + z^2/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^4)/a^8 + (19*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 286] -> 
  -5 - 6/a^4 + 12/a^2 - 10*z^2 - z^2/a^6 - (8*z^2)/a^4 + (25*z^2)/a^2 - 
   6*z^4 - z^4/a^6 - (3*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (8*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 287] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + 
   a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 288] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 - 2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 289] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6, Knot[13, NonAlternating, 290] -> -2 - a^(-2) + 10*a^2 - 7*a^4 + 
   a^6 - 2*z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 + z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + z^6 + 3*a^2*z^6, 
 Knot[13, NonAlternating, 291] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[13, NonAlternating, 292] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 293] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 3*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 294] -> a^(-8) - 5/a^6 + 6/a^4 - 
   a^(-2) + (2*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^8 - (7*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 295] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 9*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 
   5*a^4*z^2 + 7*z^4 - z^4/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 296] -> 
  -2 + 2/a^6 - 9/a^4 + 11/a^2 - a^2 - 3*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (22*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 297] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 8*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 298] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 5*z^2 + 
   18*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 299] -> -8 + 2/a^6 - 13/a^4 + 20/a^2 - 20*z^2 + 
   (3*z^2)/a^6 - (28*z^2)/a^4 + (52*z^2)/a^2 - 18*z^4 + z^4/a^6 - 
   (23*z^4)/a^4 + (57*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (32*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 300] -> 
  -a^(-16) + 9/a^14 - 20/a^12 + 13/a^10 + (11*z^2)/a^14 - (47*z^2)/a^12 + 
   (45*z^2)/a^10 + (3*z^4)/a^14 - (37*z^4)/a^12 + (59*z^4)/a^10 - 
   (11*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[13, NonAlternating, 301] -> 3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 302] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[13, NonAlternating, 303] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - z^4 + 
   7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 304] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^10 - 
   (7*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 305] -> 
  -5*a^4 + 18*a^6 - 16*a^8 + 4*a^10 - 15*a^4*z^2 + 50*a^6*z^2 - 33*a^8*z^2 + 
   5*a^10*z^2 - 16*a^4*z^4 + 55*a^6*z^4 - 26*a^8*z^4 + 2*a^10*z^4 - 
   7*a^4*z^6 + 31*a^6*z^6 - 9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[13, NonAlternating, 306] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 
   3*z^2 + 15*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - z^4 + 9*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 307] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[13, NonAlternating, 308] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (19*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (13*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 309] -> -8 - 4/a^4 + 11/a^2 + a^2 + a^4 - 19*z^2 - 
   (4*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[13, NonAlternating, 310] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 311] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 
   3*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^6 + 
   (8*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 312] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   z^2/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - z^4/a^4 + (2*z^6)/a^6, Knot[13, NonAlternating, 313] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 5*z^2 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 314] -> 3 + a^(-6) - 3/a^2 + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 315] -> 
  -2 - 2/a^6 + 4/a^4 + a^4 - 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 316] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 3*z^2 + z^2/a^6 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 317] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[13, NonAlternating, 318] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 
   2*a^4 + 10*z^2 + z^2/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, Knot[13, NonAlternating, 319] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^2, Knot[13, NonAlternating, 320] -> 
  3 - a^(-10) + 2/a^8 - 2/a^6 + 4/a^4 - 5/a^2 + 4*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 321] -> -2/a^10 + 6/a^8 - 7/a^6 + 3/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 322] -> 3 - 2/a^6 + 5/a^4 - 4/a^2 - 2*a^2 + a^4 + 
   6*z^2 - z^2/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 323] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 324] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 14*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 325] -> a^(-10) - 2/a^8 - 4/a^6 + 9/a^4 - 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + (20*z^2)/a^4 - (7*z^2)/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (17*z^4)/a^4 - (5*z^4)/a^2 + (7*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 326] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 327] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 328] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 329] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 330] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 331] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 332] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 333] -> 4 + 3/a^4 - 6/a^2 + 4*z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 334] -> 7 - 2/a^2 - 5*a^2 + a^6 + 12*z^2 - 
   (3*z^2)/a^2 - 12*a^2*z^2 + a^4*z^2 + a^6*z^2 + 8*z^4 - z^4/a^2 - 
   11*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 335] -> -a^(-12) + 2/a^10 + 2/a^8 - 8/a^6 + 6/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 - (17*z^2)/a^6 + (11*z^2)/a^4 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 - (16*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 336] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 5*z^2 - z^2/a^6 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 337] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 338] -> 
  -a^(-12) + 2/a^10 - a^(-6) - 2/a^4 + 3/a^2 + (2*z^2)/a^10 + z^2/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 339] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 8*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 - 5*z^4 - (6*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 340] -> 
  4 - a^(-4) - 2*a^2 + 6*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 341] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 342] -> 
  -2 + 6*a^2 - 3*a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^2 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 343] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 344] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 345] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 346] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 347] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 348] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 349] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 350] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 351] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 352] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 353] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 354] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 355] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 356] -> 
  -2 + 6*a^2 - 3*a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^2 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 357] -> 1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 358] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 359] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 360] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 361] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 3*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 362] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 363] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 364] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (3*z^2)/a^8 + (20*z^2)/a^6 - (30*z^2)/a^4 + (13*z^2)/a^2 - z^4/a^8 + 
   (18*z^4)/a^6 - (39*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 365] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (23*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (26*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[13, NonAlternating, 366] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 22*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 367] -> 3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 6*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 368] -> 
  -a^(-10) + a^(-8) + 4/a^6 - 8/a^4 + 5/a^2 - z^2/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[13, NonAlternating, 369] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[13, NonAlternating, 370] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 371] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 372] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[13, NonAlternating, 373] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 374] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 375] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[13, NonAlternating, 376] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 377] -> 3 - a^(-2) - 2*a^4 + a^6 + 8*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + a^6*z^2 + 7*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 378] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 + z^2/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 379] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 
   3*z^4 - z^4/a^6 + (6*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (2*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 380] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 381] -> 
  1 + 6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 382] -> 2 - a^(-2) + a^2 - a^4 + 9*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   2*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 383] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (14*z^2)/a^4 - (5*z^2)/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (15*z^4)/a^4 - (5*z^4)/a^2 + (7*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 384] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - z^2/a^8 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^8 - (5*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 385] -> 2 - a^(-4) + a^(-2) - a^2 + 7*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 386] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - z^4 + 8*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 387] -> 2/a^6 - 5/a^4 + 4/a^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[13, NonAlternating, 388] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 
   13*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 2*a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[13, NonAlternating, 389] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 390] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 391] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (16*z^2)/a^4 + z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (17*z^4)/a^4 + (2*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 392] -> 2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 8*z^2 - 
   z^2/a^4 + z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - (2*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 393] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (8*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 394] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 395] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 396] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 397] -> 2 - 2*a^2 + a^4 + 3*z^2 - 
   5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 398] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 399] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 2*a^2*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 400] -> 
  1 - 2/a^8 + 5/a^6 - 2/a^4 - 2/a^2 + a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 401] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 2*z^2 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 402] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 403] -> 3*a^2 - 3*a^4 + a^6 + z^2 + a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 404] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 405] -> -4 - a^(-6) + 5/a^2 + a^4 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 - z^6 - z^6/a^2, Knot[13, NonAlternating, 406] -> 
  1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - z^2 + z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 407] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   2*z^2 + (2*z^2)/a^8 - z^2/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 408] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 409] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - (3*z^2)/a^12 + z^2/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 + z^6/a^6, 
 Knot[13, NonAlternating, 410] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 8*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 411] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 + 2*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 412] -> 3 - 2/a^8 + 4/a^6 - 4/a^2 + 
   7*z^2 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (14*z^2)/a^2 + 5*z^4 + 
   (2*z^4)/a^6 + z^4/a^4 - (16*z^4)/a^2 + z^6 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 413] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 - 5*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 414] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 415] -> 3*a^2 - 3*a^4 + a^6 + z^2 + a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 416] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 417] -> -4 - a^(-6) + 5/a^2 + a^4 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 - z^6 - z^6/a^2, Knot[13, NonAlternating, 418] -> 
  1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - z^2 + z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 419] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   2*z^2 + (2*z^2)/a^8 - z^2/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 420] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 421] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 422] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 423] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 424] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 5*a^2*z^2 + 
   a^6*z^2 + 3*z^4 - 9*a^2*z^4 + 2*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 425] -> -a^(-4) + 2/a^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 426] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 427] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   9*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 428] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   3*a^2*z^2 + 9*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 10*a^4*z^4 - 
   a^6*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 429] -> -a^(-16) + 5/a^14 - 6/a^12 - 3/a^10 + 
   6/a^8 + (4*z^2)/a^14 - (11*z^2)/a^12 - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (5*z^4)/a^12 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 430] -> 2/a^10 - 6/a^8 + 2/a^6 + 5/a^4 - 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 - 
   (2*z^4)/a^8 + z^4/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 431] -> 
  2/a^10 - 6/a^8 + 2/a^6 + 5/a^4 - 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   (13*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 432] -> 1 - 3/a^4 + 5/a^2 - 3*a^2 + a^4 + 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 433] -> -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^4)/a^10 - (11*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[13, NonAlternating, 434] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 
   2*a^2 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 435] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 
   8*z^2 + z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 436] -> -3 + 8*a^2 - 4*a^4 - 6*z^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 4*z^4 + 14*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 437] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 
   3*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 - 3*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 
   a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 438] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + 
   (3*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 439] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 440] -> 
  1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 2*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (16*z^2)/a^2 - 3*a^2*z^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 441] -> -5 + 11*a^2 - 3*a^4 - 3*a^6 + a^8 - 
   10*z^2 + 23*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   20*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - z^6 + 8*a^2*z^6 + a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 442] -> -a^(-16) + 6/a^14 - 10/a^12 + 2/a^10 + 
   4/a^8 + (6*z^2)/a^14 - (22*z^2)/a^12 + (12*z^2)/a^10 + (12*z^2)/a^8 + 
   z^4/a^14 - (15*z^4)/a^12 + (19*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 443] -> a^(-4) - 2*a^2 + 2*a^4 - z^2/a^4 - 
   5*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 444] -> -1 - a^(-6) + 3/a^4 - a^(-2) + 
   a^4 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 445] -> 
  3 - a^(-10) + a^(-8) + 2/a^6 - a^(-4) - 3/a^2 + 4*z^2 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 446] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 5*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 447] -> 
  -3 + 8*a^2 - 4*a^4 - 6*z^2 + 16*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + 14*a^2*z^4 - 
   4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 448] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 449] -> 1 + 2/a^6 - 8/a^4 + 8/a^2 - 
   2*a^2 + 2*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 450] -> 
  -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 7*z^2 + z^2/a^8 - (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 451] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 - z^2/a^6 + (14*z^2)/a^4 - (5*z^2)/a^2 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 452] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   6*z^2 + z^2/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, NonAlternating, 453] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 
   5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 454] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 455] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 456] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 457] -> -4 - 3/a^4 + 7/a^2 + a^2 - 21*z^2 - 
   (4*z^2)/a^4 + (19*z^2)/a^2 + 8*a^2*z^2 - 33*z^4 - z^4/a^4 + (18*z^4)/a^2 + 
   12*a^2*z^4 - 24*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[13, NonAlternating, 458] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - (3*z^2)/a^12 + (16*z^2)/a^10 - 
   (29*z^2)/a^8 + (19*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (27*z^4)/a^8 + 
   (14*z^4)/a^6 + (3*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 459] -> -3 + 11*a^2 - 10*a^4 + 3*a^6 - 7*z^2 + 
   26*a^2*z^2 - 26*a^4*z^2 + 8*a^6*z^2 - 5*z^4 + 22*a^2*z^4 - 23*a^4*z^4 + 
   5*a^6*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 460] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 11*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 461] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 462] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 463] -> 4*a^2 - 5*a^4 + 2*a^6 + 
   8*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 464] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 465] -> 5*a^2 - 7*a^4 + 3*a^6 + 7*a^2*z^2 - 
   15*a^4*z^2 + 6*a^6*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 466] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 467] -> -4 - 4/a^4 + 9/a^2 - a^2 + a^4 - 11*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 12*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[13, NonAlternating, 468] -> 2 - 3*a^4 + 2*a^6 + z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 5*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 469] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 - 
   4*a^4*z^2 + a^6*z^2 - a^4*z^4, Knot[13, NonAlternating, 470] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (32*z^2)/a^2 - 13*z^4 + z^4/a^6 - (18*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 471] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (26*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (27*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 472] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 17*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   8*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 473] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 474] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[13, NonAlternating, 475] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 476] -> 
  a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 + z^2/a^10 - (5*z^2)/a^8 - 
   z^2/a^6 + (14*z^2)/a^4 - (5*z^2)/a^2 - (4*z^4)/a^8 + (4*z^4)/a^6 + 
   (11*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 477] -> 
  -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 6*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[13, NonAlternating, 478] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 479] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (18*z^2)/a^8 + (25*z^2)/a^6 - 
   (6*z^2)/a^4 + z^4/a^10 - (17*z^4)/a^8 + (35*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 480] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 12*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (33*z^2)/a^2 - 9*z^4 + z^4/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, Knot[13, NonAlternating, 481] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 10*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (30*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (26*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 482] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 483] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 484] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 485] -> -4 - 3/a^4 + 7/a^2 + a^2 - 21*z^2 - 
   (4*z^2)/a^4 + (19*z^2)/a^2 + 8*a^2*z^2 - 33*z^4 - z^4/a^4 + (18*z^4)/a^2 + 
   12*a^2*z^4 - 24*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[13, NonAlternating, 486] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - (3*z^2)/a^12 + (16*z^2)/a^10 - 
   (29*z^2)/a^8 + (19*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (27*z^4)/a^8 + 
   (14*z^4)/a^6 + (3*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 487] -> -3 + 11*a^2 - 10*a^4 + 3*a^6 - 7*z^2 + 
   26*a^2*z^2 - 26*a^4*z^2 + 8*a^6*z^2 - 5*z^4 + 22*a^2*z^4 - 23*a^4*z^4 + 
   5*a^6*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 488] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 11*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 489] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 490] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 491] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (3*z^2)/a^8 + (20*z^2)/a^6 - (30*z^2)/a^4 + (13*z^2)/a^2 - z^4/a^8 + 
   (18*z^4)/a^6 - (39*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 492] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (23*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (26*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[13, NonAlternating, 493] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 22*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 494] -> 3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 6*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 495] -> 
  -a^(-10) + a^(-8) + 4/a^6 - 8/a^4 + 5/a^2 - z^2/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[13, NonAlternating, 496] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[13, NonAlternating, 497] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 498] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 14*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 499] -> a^(-10) - 2/a^8 - 4/a^6 + 9/a^4 - 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + (20*z^2)/a^4 - (7*z^2)/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (17*z^4)/a^4 - (5*z^4)/a^2 + (7*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 500] -> 
  -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - 2*a^4*z^2 + 16*a^6*z^2 - 10*a^8*z^2 + 
   a^10*z^2 - a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + 2*a^6*z^6, 
 Knot[13, NonAlternating, 501] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[13, NonAlternating, 502] -> 
  4 + 3/a^4 - 6/a^2 + 4*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 + 
   z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 503] -> 
  7 - 2/a^2 - 5*a^2 + a^6 + 12*z^2 - (3*z^2)/a^2 - 12*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 8*z^4 - z^4/a^2 - 11*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 504] -> 
  -a^(-12) + 2/a^10 + 2/a^8 - 8/a^6 + 6/a^4 - z^2/a^12 + (4*z^2)/a^10 + 
   (4*z^2)/a^8 - (17*z^2)/a^6 + (11*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (16*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 505] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^6 + (8*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 506] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 507] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 
   3*z^2 + 15*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - z^4 + 9*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 508] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 509] -> 
  -8 - 4/a^4 + 11/a^2 + a^2 + a^4 - 19*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - 17*z^4 - z^4/a^4 + (11*z^4)/a^2 + a^2*z^4 + 
   a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, Knot[13, NonAlternating, 510] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 511] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 512] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 513] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 514] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 515] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 516] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 517] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 8*z^2 + 
   z^2/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - (6*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 518] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 519] -> 
  -2 + 6*a^2 - 3*a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^2 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 520] -> 1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 521] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 522] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 523] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 524] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 525] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 526] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^4, Knot[13, NonAlternating, 527] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 
   3*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 528] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 529] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 530] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 531] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 532] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 533] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 534] -> 
  -a^(-8) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 535] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 536] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[13, NonAlternating, 537] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (18*z^2)/a^8 + (25*z^2)/a^6 - 
   (6*z^2)/a^4 + z^4/a^10 - (17*z^4)/a^8 + (35*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 538] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 12*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (33*z^2)/a^2 - 9*z^4 + z^4/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, Knot[13, NonAlternating, 539] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 10*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (30*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (26*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 540] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 541] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 542] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 543] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 
   10*z^2 + z^2/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, Knot[13, NonAlternating, 544] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^2, Knot[13, NonAlternating, 545] -> 
  3 - a^(-10) + 2/a^8 - 2/a^6 + 4/a^4 - 5/a^2 + 4*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 546] -> -2/a^10 + 6/a^8 - 7/a^6 + 3/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 547] -> 3 - 2/a^6 + 5/a^4 - 4/a^2 - 2*a^2 + a^4 + 
   6*z^2 - z^2/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 548] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   7*z^2 + z^2/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 549] -> -a^(-8) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 550] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^2, Knot[13, NonAlternating, 551] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 552] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (19*z^2)/a^4 + (32*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 553] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (26*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^10 - (13*z^4)/a^8 + (27*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 554] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 555] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 556] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[13, NonAlternating, 557] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 558] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 - 6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 559] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 560] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 - (3*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 561] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 562] -> -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 563] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^4 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^2 - 
   a^2*z^4, Knot[13, NonAlternating, 564] -> 3*a^6 - 2*a^8 + 2*a^10 - 
   3*a^12 + a^14 + 8*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 3*a^12*z^2 + 
   6*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 + a^6*z^6, 
 Knot[13, NonAlternating, 565] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[13, NonAlternating, 566] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[13, NonAlternating, 567] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - z^2/a^4 + 5*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 568] -> 2 - a^(-2) + a^4 - a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 569] -> 2 - 3*a^4 + 2*a^6 + z^2 + 4*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 570] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 
   z^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 571] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   3*z^2 + z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - z^4 - 5*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 572] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 - 4*a^4*z^2 + 
   a^6*z^2 - a^4*z^4, Knot[13, NonAlternating, 573] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 574] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 575] -> 
  2*a^2 - a^4 - z^2/a^2 + 3*a^2*z^2 - a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 576] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 577] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - z^4 + 5*a^2*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 578] -> a^2 + a^6 - a^8 - a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 579] -> 
  1 - a^2 + a^4 + a^6 - a^8 - a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   a^4*z^4 + a^6*z^4, Knot[13, NonAlternating, 580] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 581] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 582] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 583] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   a^4*z^6, Knot[13, NonAlternating, 584] -> -3*a^4 + 12*a^6 - 10*a^8 + 
   2*a^10 - 7*a^4*z^2 + 28*a^6*z^2 - 15*a^8*z^2 + a^10*z^2 - 5*a^4*z^4 + 
   23*a^6*z^4 - 7*a^8*z^4 - a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 585] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^2, Knot[13, NonAlternating, 586] -> -3 + 8*a^2 - 4*a^4 - 4*z^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - z^4 + 6*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 587] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 588] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (10*z^2)/a^10 - (23*z^2)/a^8 + (17*z^2)/a^6 + (6*z^4)/a^10 - 
   (18*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 589] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, Knot[13, NonAlternating, 590] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 591] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 592] -> -5 + 13*a^2 - 8*a^4 + a^6 - 10*z^2 + 
   27*a^2*z^2 - 13*a^4*z^2 + a^6*z^2 - 6*z^4 + 22*a^2*z^4 - 7*a^4*z^4 - z^6 + 
   8*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 593] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 + z^6/a^6, Knot[13, NonAlternating, 594] -> 
  2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - a^(-2) + z^2/a^10 - (10*z^2)/a^8 + 
   (14*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 595] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 596] -> -a^(-16) + 7/a^14 - 14/a^12 + 7/a^10 + 
   2/a^8 + (7*z^2)/a^14 - (29*z^2)/a^12 + (23*z^2)/a^10 + (8*z^2)/a^8 + 
   z^4/a^14 - (18*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - (3*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 597] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 598] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 599] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 600] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 601] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - z^2/a^8 + 
   (5*z^2)/a^4 - z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 602] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - 
   (4*z^2)/a^4 - (6*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 603] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - 
   (4*z^2)/a^4 - (6*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 604] -> 
  -a^(-16) + 8/a^14 - 18/a^12 + 12/a^10 + (9*z^2)/a^14 - (42*z^2)/a^12 + 
   (43*z^2)/a^10 + (2*z^4)/a^14 - (33*z^4)/a^12 + (58*z^4)/a^10 - 
   (10*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[13, NonAlternating, 605] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (3*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - 
   z^6/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 606] -> -2 - 3/a^4 + 6/a^2 - z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 607] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 6*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 - 2*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 608] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 6*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 - 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + (2*z^6)/a^2, Knot[13, NonAlternating, 609] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2/a^8 + (4*z^2)/a^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 610] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 2*z^2 - z^2/a^2 - 4*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 611] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 612] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 4*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 613] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 614] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 9*a^2*z^4 - 
   3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 615] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 616] -> -5*a^4 + 17*a^6 - 14*a^8 + 3*a^10 - 
   15*a^4*z^2 + 48*a^6*z^2 - 28*a^8*z^2 + 3*a^10*z^2 - 16*a^4*z^4 + 
   54*a^6*z^4 - 22*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 31*a^6*z^6 - 8*a^8*z^6 - 
   a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[13, NonAlternating, 617] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 618] -> 
  -7 + a^(-2) + 13*a^2 - 6*a^4 - 14*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 
   9*a^4*z^2 - 9*z^4 + z^4/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 2*z^6 + 7*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 619] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 620] -> 
  -3 + 3/a^6 - 10/a^4 + 11/a^2 - 5*z^2 + (6*z^2)/a^6 - (20*z^2)/a^4 + 
   (20*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 + 
   z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 621] -> -2/a^12 + 10/a^10 - 17/a^8 + 10/a^6 - 
   (3*z^2)/a^12 + (23*z^2)/a^10 - (43*z^2)/a^8 + (25*z^2)/a^6 - z^4/a^12 + 
   (21*z^4)/a^10 - (49*z^4)/a^8 + (22*z^4)/a^6 + (8*z^6)/a^10 - 
   (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 622] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 21*z^2 - 
   (4*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 623] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 624] -> 
  -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 5/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (6*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 + (6*z^4)/a^10 - (10*z^4)/a^8 - 
   (11*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 625] -> 
  -3 - 2/a^6 + 4/a^4 + 2*a^2 - 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 626] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 627] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + 
   (16*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 628] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 16*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 629] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (8*z^2)/a^8 + (17*z^2)/a^6 - (3*z^2)/a^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 630] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 631] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (6*z^2)/a^10 - 
   (14*z^2)/a^8 + (13*z^2)/a^6 + (2*z^4)/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - 
   z^6/a^8 + z^6/a^6, Knot[13, NonAlternating, 632] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 633] -> -a^(-4) + 2/a^2 - 5*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 634] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 5*z^2 + 16*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + 9*a^2*z^4 - 4*a^4*z^4 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 635] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 636] -> 
  -3 + 8*a^2 - 4*a^4 - 6*z^2 + 16*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + 14*a^2*z^4 - 
   4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 637] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 638] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 639] -> -a^(-8) + 2/a^4 - z^2/a^12 + (2*z^2)/a^10 - 
   z^2/a^8 + (4*z^2)/a^4 + (2*z^4)/a^10 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 640] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 641] -> -2/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (6*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 642] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 643] -> 1 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 644] -> -3 - 4/a^4 + 8/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 - 12*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 645] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + 
   (3*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 646] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 6*z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 9*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 647] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 648] -> 
  2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 649] -> -a^(-4) + 2/a^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 650] -> -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + 
   12*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 651] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (15*z^4)/a^6 - (30*z^4)/a^4 + (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 652] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - 
   (15*z^4)/a^8 + (31*z^4)/a^6 - (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 653] -> -2 + 10*a^2 - 11*a^4 + 4*a^6 - 3*z^2 + 
   17*a^2*z^2 - 23*a^4*z^2 + 8*a^6*z^2 - z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 
   5*a^6*z^4 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 654] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 655] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 18*z^2 + 
   (5*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 656] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (25*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (20*z^4)/a^6 - (4*z^4)/a^4 - (2*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 657] -> 
  4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 5*z^2 - z^2/a^2 - 3*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 658] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[13, NonAlternating, 659] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[13, NonAlternating, 660] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 661] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (15*z^4)/a^6 - (30*z^4)/a^4 + 
   (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 662] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 663] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 664] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (25*z^2)/a^8 + (42*z^2)/a^6 - (13*z^2)/a^4 + z^4/a^10 - 
   (22*z^4)/a^8 + (52*z^4)/a^6 - (16*z^4)/a^4 - (8*z^6)/a^8 + (31*z^6)/a^6 - 
   (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 665] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 666] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 667] -> -1 + a^(-2) + a^2 - 9*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 668] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 669] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 
   14*a^4*z^2 + 44*a^6*z^2 - 23*a^8*z^2 + 2*a^10*z^2 - 16*a^4*z^4 + 
   53*a^6*z^4 - 21*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 31*a^6*z^6 - 8*a^8*z^6 - 
   a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[13, NonAlternating, 670] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (10*z^2)/a^8 + (15*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - (6*z^4)/a^8 + (13*z^4)/a^6 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 671] -> -a^(-4) + 2/a^2 - z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^2 - z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 672] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 673] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 674] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^6, Knot[13, NonAlternating, 675] -> 
  -a^2 + 8*a^6 - 7*a^8 + a^10 - 4*a^2*z^2 + 5*a^4*z^2 + 17*a^6*z^2 - 
   11*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 14*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 676] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 
   (3*z^2)/a^8 + (24*z^2)/a^6 - (39*z^2)/a^4 + (17*z^2)/a^2 - z^4/a^8 + 
   (22*z^4)/a^6 - (51*z^4)/a^4 + (17*z^4)/a^2 + (8*z^6)/a^6 - (31*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 677] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 678] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 679] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   3*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 680] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 681] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 10*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 + 
   2*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 682] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 683] -> 3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 7*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 - (9*z^2)/a^2 + 5*z^4 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 - (12*z^4)/a^2 + z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   (6*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 684] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^8 - z^4/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 685] -> -4 - 2/a^4 + 6/a^2 + a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6/a^2, Knot[13, NonAlternating, 686] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^8 + (8*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 687] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 688] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 689] -> -7 + 2/a^6 - 12/a^4 + 18/a^2 - 18*z^2 + 
   (3*z^2)/a^6 - (26*z^2)/a^4 + (47*z^2)/a^2 - 17*z^4 + z^4/a^6 - 
   (22*z^4)/a^4 + (53*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (31*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 690] -> 
  -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 6*z^2 + z^2/a^8 - (9*z^2)/a^6 + 
   (10*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[13, NonAlternating, 691] -> 3 - a^(-10) + 3/a^8 - 3/a^6 + 
   3/a^4 - 4/a^2 + 4*z^2 + (5*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 + z^4/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 - 
   (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 692] -> 2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 
   3/a^2 + 2*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 693] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 694] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (19*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (15*z^4)/a^8 + (31*z^4)/a^6 - 
   (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 695] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 696] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 697] -> -a^(-10) + 2/a^8 + 3/a^6 - 9/a^4 + 6/a^2 - 
   z^2/a^10 + (8*z^2)/a^8 - z^2/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 + 
   (6*z^4)/a^8 - (9*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 698] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 699] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 700] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 701] -> 
  3 - a^(-10) + 2/a^8 + a^(-6) - 2/a^4 - 2/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 702] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2, Knot[13, NonAlternating, 703] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + z^4/a^4 + z^4/a^2, Knot[13, NonAlternating, 704] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 705] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 8*z^4 + z^4/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 706] -> 
  -3 - 4/a^4 + 8/a^2 - 10*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 - 
   12*z^4 + z^4/a^6 - (16*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 707] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 708] -> 
  2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 709] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^10 - (16*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - 
   (16*z^4)/a^8 + (36*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 710] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 711] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 712] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 713] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 714] -> -a^(-4) + 2/a^2 + 5*z^2 - 
   z^2/a^4 - 3*a^2*z^2 + 9*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 715] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - z^2/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   13*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 716] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + 
   (16*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 717] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 718] -> -a^(-4) + 2/a^2 - 5*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 719] -> 
  -a^(-16) + 6/a^14 - 11/a^12 + 4/a^10 + 3/a^8 + (6*z^2)/a^14 - 
   (24*z^2)/a^12 + (17*z^2)/a^10 + (10*z^2)/a^8 + z^4/a^14 - (16*z^4)/a^12 + 
   (23*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 720] -> 
  -2 - a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 - 2*z^2 - (2*z^2)/a^2 + 19*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 12*a^2*z^4 - 5*a^4*z^4 + z^6 + 
   3*a^2*z^6, Knot[13, NonAlternating, 721] -> -a^(-12) + 6/a^10 - 11/a^8 + 
   6/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[13, NonAlternating, 722] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 723] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   2*z^2 + 4*a^2*z^2 - a^4*z^2 + 4*z^4 - (2*z^4)/a^2 - a^2*z^4 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 724] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 - (10*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 725] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 726] -> 
  -1 + 3*a^2 - a^6 + z^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   7*a^2*z^4 + 4*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 727] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 4*a^2*z^2 + 
   10*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 4*a^2*z^4 + 12*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, Knot[13, NonAlternating, 728] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 729] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 730] -> 2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - 
   (8*z^2)/a^12 + (16*z^2)/a^8 - (3*z^4)/a^12 + (2*z^4)/a^10 + (19*z^4)/a^8 + 
   z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[13, NonAlternating, 731] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 732] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 733] -> -a^(-2) + 4*a^2 - a^4 - a^6 + 
   5*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 734] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + (5*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 735] -> a^(-10) - 5/a^8 + 3/a^6 + 4/a^4 - 2/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 - 
   (6*z^4)/a^8 + (13*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 736] -> a^(-8) - 4/a^6 + 4/a^4 - z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 737] -> 
  6 + a^(-6) - a^(-4) - 3/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 738] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 5*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - 
   (17*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + (11*z^4)/a^4 - (13*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 739] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (11*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + (6*z^4)/a^10 - (12*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 740] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[13, NonAlternating, 741] -> 
  4 - a^(-8) + 2/a^6 + 2/a^4 - 6/a^2 + 4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 742] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 15*z^2 + 
   (5*z^2)/a^4 - (17*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (2*z^4)/a^4 - 
   (12*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 743] -> 6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 10*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 744] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 
   2/a^2 + (4*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 745] -> 
  -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 2*a^2 - 5*z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + z^4/a^2 + 
   z^6/a^2, Knot[13, NonAlternating, 746] -> -2 - a^(-8) + 3/a^6 - 2/a^4 + 
   a^(-2) + 2*a^2 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 747] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 748] -> 
  2 - a^(-2) + a^4 - a^6 + z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 749] -> 
  a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 - (5*z^4)/a^8 + (8*z^4)/a^6 + 
   (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 750] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 751] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[13, NonAlternating, 752] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 4*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - 
   2*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 753] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + 
   (4*z^2)/a^8 - (14*z^2)/a^6 + (15*z^2)/a^4 - (3*z^2)/a^2 + (2*z^4)/a^8 - 
   (11*z^4)/a^6 + (12*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 754] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 
   z^4 + 9*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 755] -> 
  3/a^6 - 7/a^4 + 5/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 756] -> -5 - 3/a^4 + 8/a^2 + a^4 - 16*z^2 - 
   (4*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 16*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[13, NonAlternating, 757] -> 5 - a^(-4) - 4*a^2 + a^4 + 11*z^2 - 
   z^2/a^4 - z^2/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 758] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (5*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 759] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - z^2/a^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 760] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 761] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 762] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 763] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + (2*z^4)/a^8 - z^4/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 764] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 765] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 4*a^2*z^2 + 
   10*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 4*a^2*z^4 + 12*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, Knot[13, NonAlternating, 766] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 - (10*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 767] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 768] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 769] -> -a^(-2) + 4*a^2 - a^4 - a^6 + 5*z^2 - 
   (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 770] -> 2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - 
   (8*z^2)/a^12 + (16*z^2)/a^8 - (3*z^4)/a^12 + (2*z^4)/a^10 + (19*z^4)/a^8 + 
   z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[13, NonAlternating, 771] -> 
  4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (12*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 772] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 11*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   a^6*z^2 + 8*z^4 - z^4/a^2 - 10*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 773] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 6/a^6 + 5/a^4 - z^2/a^12 + (4*z^2)/a^10 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (10*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (15*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 774] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 775] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^2 - 
   11*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 776] -> a^(-8) - 4/a^6 + 4/a^4 - z^2/a^12 + 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (12*z^2)/a^6 + (9*z^2)/a^4 + (2*z^4)/a^10 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[13, NonAlternating, 777] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 
   a^2 + 8*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 778] -> a^(-8) - 4/a^6 + 4/a^4 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^8 - 
   (7*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 779] -> 
  -3 + 8*a^2 - 4*a^4 - 8*z^2 + 20*a^2*z^2 - 8*a^4*z^2 - 5*z^4 + 18*a^2*z^4 - 
   5*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 780] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 781] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 + 12*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 - 
   z^4 + 8*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 782] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 783] -> -4 - 3/a^4 + 7/a^2 + a^2 - 14*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[13, NonAlternating, 784] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 785] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 786] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - 
   a^2 - 2*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 
   z^4 + z^4/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 787] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - (4*z^2)/a^10 + (8*z^2)/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^10 + (8*z^4)/a^8 - (8*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 788] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 13*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 12*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 789] -> 4*a^2 - 5*a^4 + 2*a^6 + 4*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 790] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - z^4 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 791] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (19*z^2)/a^6 - (27*z^2)/a^4 + (12*z^2)/a^2 - z^4/a^8 + 
   (18*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 792] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 + 
   z^2/a^14 - (6*z^2)/a^12 - (3*z^2)/a^10 + (17*z^2)/a^8 - (3*z^4)/a^12 + 
   z^4/a^10 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 793] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + z^4 - z^4/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 794] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (27*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[13, NonAlternating, 795] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   8*a^2*z^2 - 22*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 796] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 797] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 13*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 
   4*a^2*z^4 + 13*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   a^4*z^8, Knot[13, NonAlternating, 798] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   26*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 10*a^2*z^2 - 37*z^4 - z^4/a^4 + 
   (19*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[13, NonAlternating, 799] -> 
  -a^(-8) + 2/a^4 - (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 800] -> -2 - a^(-2) + 9*a^2 - 5*a^4 - 2*z^2 - 
   (3*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 - z^4/a^2 + 18*a^2*z^4 - 5*a^4*z^4 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 801] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 802] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 - (24*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + 
   (12*z^4)/a^10 - (23*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, Knot[13, NonAlternating, 803] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 7*z^2 + 24*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 
   5*z^4 + 21*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[13, NonAlternating, 804] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 805] -> 2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 806] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 807] -> 
  -a^(-4) + 2/a^2 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 808] -> 2*a^2 - a^4 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 809] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - 
   z^4/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 810] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 811] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 812] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   z^2/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - z^4/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 813] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - z^4/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 814] -> 3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 6*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (13*z^4)/a^2 + z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 815] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 816] -> -2 + a^(-4) + 2*a^2 - z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 817] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 818] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 819] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   4*z^2 + (3*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 3*z^4 + z^4/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 820] -> 1 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 821] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 822] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - 9*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 823] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 824] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 2*z^2 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 825] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 826] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 
   3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 827] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + z^6, Knot[13, NonAlternating, 828] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 829] -> 6 - 2/a^2 - 4*a^2 + a^4 + 13*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 830] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   7*z^2 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 831] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 832] -> -a^2 + a^4 + 7*a^6 - 8*a^8 + 2*a^10 - 
   3*a^2*z^2 + 4*a^4*z^2 + 15*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 833] -> 
  -a^(-16) + 6/a^14 - 10/a^12 + 2/a^10 + 4/a^8 + (5*z^2)/a^14 - 
   (19*z^2)/a^12 + (9*z^2)/a^10 + (13*z^2)/a^8 - (10*z^4)/a^12 + 
   (13*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 834] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 835] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[13, NonAlternating, 836] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 2*z^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 837] -> 3/a^6 - 7/a^4 + 5/a^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^6, Knot[13, NonAlternating, 838] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 839] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^4 + (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 840] -> -5 - 3/a^4 + 8/a^2 + a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - z^6, 
 Knot[13, NonAlternating, 841] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 842] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (10*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^6)/a^6, Knot[13, NonAlternating, 843] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 17*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   7*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 844] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 7*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + 
   (23*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 845] -> -3 + 2/a^6 - 10/a^4 + 13/a^2 - a^2 - 
   5*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (27*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 846] -> 
  5 - a^(-6) + 4/a^4 - 5/a^2 - 4*a^2 + 2*a^4 + 12*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (13*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 11*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 847] -> 5 - a^(-6) + 4/a^4 - 5/a^2 - 4*a^2 + 
   2*a^4 + 12*z^2 - z^2/a^6 + (6*z^2)/a^4 - (13*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 848] -> 
  3 - a^(-10) + 3/a^8 - 4/a^6 + 5/a^4 - 5/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (12*z^2)/a^4 - (12*z^2)/a^2 + z^4 - (7*z^4)/a^6 + 
   (11*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 849] -> -a^(-4) + 2/a^2 + 4*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 850] -> 
  2*a^2 - a^4 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 7*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 851] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - 
   z^4/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 852] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 853] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 854] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   z^2/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - z^4/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 855] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - z^4/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 856] -> 3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 6*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (13*z^4)/a^2 + z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 857] -> -a^(-4) + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 858] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (5*z^2)/a^8 - 
   (10*z^2)/a^6 + (10*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 859] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^4 - 2/a^2 + 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 - (4*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 860] -> 2 - a^(-6) + 3/a^4 - 2/a^2 - 3*a^2 + 
   2*a^4 + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[13, NonAlternating, 861] -> -11 - 4/a^4 + 12/a^2 + 4*a^2 - 32*z^2 - 
   (4*z^2)/a^4 + (24*z^2)/a^2 + 12*a^2*z^2 - 39*z^4 - z^4/a^4 + 
   (19*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[13, NonAlternating, 862] -> 
  -2/a^12 + 9/a^10 - 15/a^8 + 9/a^6 - (3*z^2)/a^12 + (18*z^2)/a^10 - 
   (32*z^2)/a^8 + (20*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (28*z^4)/a^8 + 
   (14*z^4)/a^6 + (3*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 863] -> -4 + 14*a^2 - 13*a^4 + 4*a^6 - 8*z^2 + 
   29*a^2*z^2 - 28*a^4*z^2 + 8*a^6*z^2 - 5*z^4 + 23*a^2*z^4 - 23*a^4*z^4 + 
   5*a^6*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 864] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   7*z^2 - z^2/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, NonAlternating, 865] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 866] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 8*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - a^4*z^6, Knot[13, NonAlternating, 867] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 868] -> -2*a^2 + 4*a^4 + 3*a^6 - 5*a^8 + a^10 - 
   5*a^2*z^2 + 9*a^4*z^2 + 12*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 
   9*a^4*z^4 + 13*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 869] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 14*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + 
   (37*z^2)/a^2 - 14*z^4 + z^4/a^6 - (19*z^4)/a^4 + (43*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 870] -> 2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (21*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (23*z^4)/a^6 - (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[13, NonAlternating, 871] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 
   6*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 872] -> 6 + a^(-6) - a^(-4) - 3/a^2 - 2*a^2 + 
   10*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 873] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 5*z^2 - 
   (4*z^2)/a^6 + (15*z^2)/a^4 - (17*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (13*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 874] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 875] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 876] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 877] -> 2/a^8 - 6/a^6 + 5/a^4 + (3*z^2)/a^8 - 
   (11*z^2)/a^6 + (11*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^8 - (8*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 878] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 879] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (21*z^2)/a^4 + (37*z^2)/a^2 - 14*z^4 + z^4/a^6 - 
   (19*z^4)/a^4 + (43*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 880] -> 
  -2 - a^(-2) + 9*a^2 - 5*a^4 - 2*z^2 - (3*z^2)/a^2 + 20*a^2*z^2 - 
   9*a^4*z^2 - z^4/a^2 + 18*a^2*z^4 - 5*a^4*z^4 + 7*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 881] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   3*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 882] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 
   z^4 - z^4/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 883] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 + 
   z^2/a^14 - (6*z^2)/a^12 - (3*z^2)/a^10 + (17*z^2)/a^8 - (3*z^4)/a^12 + 
   z^4/a^10 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 884] -> -a^(-8) + 2/a^4 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - 
   z^6/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 885] -> 2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (21*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (23*z^4)/a^6 - (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[13, NonAlternating, 886] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 
   6*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 887] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 888] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 13*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 
   4*a^2*z^4 + 13*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   a^4*z^8, Knot[13, NonAlternating, 889] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 + (2*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 890] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 891] -> 2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 892] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 - 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 893] -> 1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 894] -> 
  -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 + (2*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - (4*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 895] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 896] -> 5 + a^(-4) - 4/a^2 - a^4 + 11*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 897] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + (17*z^2)/a^4 - (6*z^2)/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (16*z^4)/a^4 - (5*z^4)/a^2 + (7*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 898] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^2, Knot[13, NonAlternating, 899] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 900] -> -a^(-8) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 901] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, Knot[13, NonAlternating, 902] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 903] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 
   8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 
   10*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 904] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   5*z^2 - z^2/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - (6*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 905] -> 
  -a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 5/a^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (14*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^8 - (4*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, Knot[13, NonAlternating, 906] -> 
  -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 9*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[13, NonAlternating, 907] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 908] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, NonAlternating, 909] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 910] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 
   8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 
   10*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 911] -> -7 + 4/a^2 + 4*a^2 - 20*z^2 + (8*z^2)/a^2 + 
   8*a^2*z^2 - 18*z^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 912] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 
   11*z^2 + z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 6*z^4 + a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 913] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (18*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 914] -> 
  4 - a^(-4) - 2*a^2 + 9*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 10*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 915] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^10 - 
   z^2/a^8 + (9*z^2)/a^6 + (2*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + 
   z^6/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 916] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (28*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 917] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 18*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 
   9*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 918] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 
   6*a^2*z^2 - z^4 + 6*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 919] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 - (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 920] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (27*z^2)/a^4 + (12*z^2)/a^2 - z^4/a^8 + (18*z^4)/a^6 - (38*z^4)/a^4 + 
   (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 921] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (26*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - (27*z^4)/a^4 + 
   (8*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 922] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 923] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   26*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 10*a^2*z^2 - 37*z^4 - z^4/a^4 + 
   (19*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[13, NonAlternating, 924] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - (3*z^2)/a^12 + (14*z^2)/a^10 - 
   (24*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + (12*z^4)/a^10 - (23*z^4)/a^8 + 
   (13*z^4)/a^6 + (3*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 925] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 7*z^2 + 
   24*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 5*z^4 + 21*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 926] -> -2 + a^(-4) + 2*a^2 - 11*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 927] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 + (3*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 928] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 16*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 11*z^4 + (5*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - a^2*z^6, Knot[13, NonAlternating, 929] -> 
  2/a^10 - 7/a^8 + 4/a^6 + 4/a^4 - 2/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (10*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - (5*z^4)/a^8 + (10*z^4)/a^6 + 
   (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 930] -> 
  -a^(-16) + 5/a^14 - 7/a^12 - a^(-10) + 5/a^8 + (4*z^2)/a^14 - 
   (14*z^2)/a^12 + (3*z^2)/a^10 + (15*z^2)/a^8 - (8*z^4)/a^12 + 
   (9*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 931] -> 
  2 - 2/a^2 + 6*a^2 - 7*a^4 + 2*a^6 + 5*z^2 - (3*z^2)/a^2 + 9*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 932] -> 
  -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 7*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   z^2/a^4 + (16*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (11*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[13, NonAlternating, 933] -> 
  -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 934] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 13*z^2 + 
   (3*z^2)/a^6 - (21*z^2)/a^4 + (35*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (40*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 935] -> 
  3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + (3*z^2)/a^10 - (23*z^2)/a^8 + 
   (37*z^2)/a^6 - (10*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + (33*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 936] -> -10 + 2/a^2 + 16*a^2 - 7*a^4 - 23*z^2 + 
   (5*z^2)/a^2 + 34*a^2*z^2 - 11*a^4*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   27*a^2*z^4 - 6*a^4*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 937] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 - 
   4*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 938] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[13, NonAlternating, 939] -> 
  3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 940] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 - (6*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 941] -> -a^(-10) + 2/a^8 + 2/a^6 - 
   7/a^4 + 5/a^2 - z^2/a^10 + (6*z^2)/a^8 - (14*z^2)/a^4 + (8*z^2)/a^2 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4, Knot[13, NonAlternating, 942] -> 
  -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 9*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[13, NonAlternating, 943] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 944] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, NonAlternating, 945] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 946] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 947] -> -a^(-8) + 2/a^4 - z^2/a^12 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 948] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, Knot[13, NonAlternating, 949] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (10*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 950] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 - (2*z^6)/a^2, Knot[13, NonAlternating, 951] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[13, NonAlternating, 952] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (11*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + (6*z^4)/a^10 - (12*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 953] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[13, NonAlternating, 954] -> 
  4 - a^(-8) + 2/a^6 + 2/a^4 - 6/a^2 + 4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 955] -> 6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 10*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 956] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 15*z^2 + 
   (5*z^2)/a^4 - (17*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (2*z^4)/a^4 - 
   (12*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 957] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 
   8*z^2 + z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 958] -> -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^4)/a^10 - (11*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[13, NonAlternating, 959] -> -2*a^2 + 5*a^4 + 2*a^6 - 6*a^8 + 
   2*a^10 - 5*a^2*z^2 + 13*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*a^2*z^4 + 13*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   a^4*z^8, Knot[13, NonAlternating, 960] -> 1 + a^(-4) - 3/a^2 + 5*a^2 - 
   3*a^4 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   7*z^4 + z^4/a^4 - (6*z^4)/a^2 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 961] -> -a^(-16) + 5/a^14 - 6/a^12 - 3/a^10 + 
   6/a^8 + (4*z^2)/a^14 - (11*z^2)/a^12 - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (5*z^4)/a^12 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 962] -> -4*a^4 + 16*a^6 - 15*a^8 + 4*a^10 - 
   10*a^4*z^2 + 38*a^6*z^2 - 26*a^8*z^2 + 4*a^10*z^2 - 8*a^4*z^4 + 
   33*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^6*z^8, Knot[13, NonAlternating, 963] -> -12 + 3/a^2 + 17*a^2 - 7*a^4 - 
   27*z^2 + (7*z^2)/a^2 + 34*a^2*z^2 - 10*a^4*z^2 - 22*z^4 + (5*z^4)/a^2 + 
   25*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 964] -> -6 + 3/a^6 - 13/a^4 + 17/a^2 - 
   11*z^2 + (6*z^2)/a^6 - (26*z^2)/a^4 + (35*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (27*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 965] -> 
  -2/a^12 + 10/a^10 - 17/a^8 + 10/a^6 - (3*z^2)/a^12 + (19*z^2)/a^10 - 
   (35*z^2)/a^8 + (21*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (29*z^4)/a^8 + 
   (14*z^4)/a^6 + (3*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 966] -> -5 + 3/a^6 - 14/a^4 + 18/a^2 - a^2 - 
   10*z^2 + (4*z^2)/a^6 - (26*z^2)/a^4 + (40*z^2)/a^2 - 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (35*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^2, Knot[13, NonAlternating, 967] -> 
  -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 
   11*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[13, NonAlternating, 968] -> 
  -2 + a^(-4) - 2/a^2 + 8*a^2 - 4*a^4 - 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 969] -> 
  5 - a^(-6) + 4/a^4 - 5/a^2 - 4*a^2 + 2*a^4 + 12*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (13*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 11*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 970] -> 5 - a^(-6) + 4/a^4 - 5/a^2 - 4*a^2 + 
   2*a^4 + 12*z^2 - z^2/a^6 + (6*z^2)/a^4 - (13*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 971] -> 
  3 - a^(-10) + 3/a^8 - 4/a^6 + 5/a^4 - 5/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (12*z^2)/a^4 - (12*z^2)/a^2 + z^4 - (7*z^4)/a^6 + 
   (11*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 972] -> -a^2 + a^4 + 7*a^6 - 8*a^8 + 
   2*a^10 - 3*a^2*z^2 + 4*a^4*z^2 + 15*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*a^4*z^6 + 3*a^6*z^6, 
 Knot[13, NonAlternating, 973] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[13, NonAlternating, 974] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (3*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 975] -> -1 - a^(-2) + 8*a^2 - 6*a^4 + a^6 + z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 976] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   z^2/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[13, NonAlternating, 977] -> -a^(-16) + 6/a^14 - 10/a^12 + 2/a^10 + 
   4/a^8 + (6*z^2)/a^14 - (22*z^2)/a^12 + (12*z^2)/a^10 + (12*z^2)/a^8 + 
   z^4/a^14 - (15*z^4)/a^12 + (19*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 978] -> -5 + a^(-8) - 3/a^6 - 3/a^4 + 11/a^2 - 
   10*z^2 + z^2/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 + (23*z^2)/a^2 - 6*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^4 + (8*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 979] -> 1 + 2/a^6 - 8/a^4 + 8/a^2 - 
   2*a^2 + 2*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 980] -> 
  -9 + 3/a^6 - 16/a^4 + 23/a^2 - 22*z^2 + (4*z^2)/a^6 - (33*z^2)/a^4 + 
   (58*z^2)/a^2 - 19*z^4 + z^4/a^6 - (25*z^4)/a^4 + (61*z^4)/a^2 - 7*z^6 - 
   (8*z^6)/a^4 + (33*z^6)/a^2 - z^8 - z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 981] -> -2/a^16 + 12/a^14 - 23/a^12 + 14/a^10 - 
   z^2/a^16 + (16*z^2)/a^14 - (53*z^2)/a^12 + (47*z^2)/a^10 + (5*z^4)/a^14 - 
   (41*z^4)/a^12 + (60*z^4)/a^10 - (12*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[13, NonAlternating, 982] -> 
  -6*a^4 + 21*a^6 - 19*a^8 + 5*a^10 - 17*a^4*z^2 + 56*a^6*z^2 - 38*a^8*z^2 + 
   6*a^10*z^2 - 17*a^4*z^4 + 59*a^6*z^4 - 28*a^8*z^4 + 2*a^10*z^4 - 
   7*a^4*z^6 + 32*a^6*z^6 - 9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[13, NonAlternating, 983] -> -4 + a^(-8) - 4/a^6 + 8/a^2 - 
   8*z^2 + z^2/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 984] -> 
  -7 + 2/a^6 - 12/a^4 + 18/a^2 - 16*z^2 + (3*z^2)/a^6 - (24*z^2)/a^4 + 
   (43*z^2)/a^2 - 14*z^4 + z^4/a^6 - (19*z^4)/a^4 + (45*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 985] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 19*z^2 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 17*z^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 986] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 987] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (20*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (28*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 988] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 20*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 - 
   8*a^4*z^2 - 18*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 989] -> -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 + 
   2*a^2*z^6, Knot[13, NonAlternating, 990] -> -a^(-8) + 6/a^6 - 10/a^4 + 
   6/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 991] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 992] -> -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 993] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^4, Knot[13, NonAlternating, 994] -> 
  -3 + 11*a^2 - 10*a^4 + 3*a^6 - 5*z^2 + 20*a^2*z^2 - 20*a^4*z^2 + 
   6*a^6*z^2 - 2*z^4 + 13*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 995] -> 
  -a^(-8) + 7/a^6 - 12/a^4 + 7/a^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (24*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 996] -> -10 - 4/a^4 + 12/a^2 + 2*a^2 + a^4 - 
   24*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 8*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[13, NonAlternating, 997] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 998] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 7*z^2 + 
   (4*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 999] -> -3 + 2/a^6 - 10/a^4 + 13/a^2 - 
   a^2 - 5*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (27*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1000] -> 
  -2 + a^(-4) + 2*a^2 - 11*z^2 + z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1001] -> -a^(-4) + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1002] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 5*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 1003] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 
   3*a^4*z^2 + 19*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - a^4*z^4 + 11*a^6*z^4 - 
   3*a^8*z^4 + 2*a^6*z^6, Knot[13, NonAlternating, 1004] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   3*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1005] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1006] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (13*z^2)/a^8 + (20*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 1007] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 1008] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (23*z^2)/a^8 + (36*z^2)/a^6 - (10*z^2)/a^4 + z^4/a^10 - 
   (18*z^4)/a^8 + (41*z^4)/a^6 - (12*z^4)/a^4 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 1009] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 13*z^2 + 
   (3*z^2)/a^6 - (21*z^2)/a^4 + (36*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (32*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[13, NonAlternating, 1010] -> 
  -5 + 3/a^6 - 12/a^4 + 15/a^2 - 10*z^2 + (6*z^2)/a^6 - (25*z^2)/a^4 + 
   (32*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (26*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 1011] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1012] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[13, NonAlternating, 1013] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 1014] -> -11 - 4/a^4 + 12/a^2 + 4*a^2 - 32*z^2 - 
   (4*z^2)/a^4 + (24*z^2)/a^2 + 12*a^2*z^2 - 39*z^4 - z^4/a^4 + 
   (19*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[13, NonAlternating, 1015] -> 
  -2/a^12 + 9/a^10 - 15/a^8 + 9/a^6 - (3*z^2)/a^12 + (18*z^2)/a^10 - 
   (32*z^2)/a^8 + (20*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (28*z^4)/a^8 + 
   (14*z^4)/a^6 + (3*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 1016] -> -4 + 14*a^2 - 13*a^4 + 4*a^6 - 8*z^2 + 
   29*a^2*z^2 - 28*a^4*z^2 + 8*a^6*z^2 - 5*z^4 + 23*a^2*z^4 - 23*a^4*z^4 + 
   5*a^6*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 1017] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   7*z^2 - z^2/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, NonAlternating, 1018] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 1019] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 8*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - a^4*z^6, Knot[13, NonAlternating, 1020] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 6*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   4*z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 1021] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 
   4*z^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - a^2*z^4, 
 Knot[13, NonAlternating, 1022] -> a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1023] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + 3*z^2 - 
   z^2/a^6 + (10*z^2)/a^4 - (14*z^2)/a^2 + a^2*z^2 + 3*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1024] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, Knot[13, NonAlternating, 1025] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 1026] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[13, NonAlternating, 1027] -> 
  6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 10*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 1028] -> 4 + 3/a^4 - 6/a^2 + 5*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (14*z^2)/a^2 + 3*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1029] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[13, NonAlternating, 1030] -> -a^(-10) + 3/a^8 - a^(-6) - 
   4/a^4 + 4/a^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1031] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 2*z^2 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 1032] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1033] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 1034] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + z^6, Knot[13, NonAlternating, 1035] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 7*z^2 - z^2/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - a^2*z^6, Knot[13, NonAlternating, 1036] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - 9*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 1037] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 1038] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 
   2*a^6 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1039] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1040] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 1041] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 1042] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 
   z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1043] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + 
   (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 1044] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + 
   (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 1045] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 1046] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1047] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (13*z^2)/a^8 + (20*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 1048] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 1049] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (23*z^2)/a^8 + (36*z^2)/a^6 - (10*z^2)/a^4 + z^4/a^10 - 
   (18*z^4)/a^8 + (41*z^4)/a^6 - (12*z^4)/a^4 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 1050] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 13*z^2 + 
   (3*z^2)/a^6 - (21*z^2)/a^4 + (36*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (32*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[13, NonAlternating, 1051] -> 
  -5 + 3/a^6 - 12/a^4 + 15/a^2 - 10*z^2 + (6*z^2)/a^6 - (25*z^2)/a^4 + 
   (32*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (26*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 1052] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1053] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[13, NonAlternating, 1054] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1055] -> 
  -7 + 2/a^6 - 12/a^4 + 18/a^2 - 16*z^2 + (3*z^2)/a^6 - (24*z^2)/a^4 + 
   (43*z^2)/a^2 - 14*z^4 + z^4/a^6 - (19*z^4)/a^4 + (45*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 1056] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (20*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (28*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 1057] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 20*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 - 
   8*a^4*z^2 - 18*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 1058] -> 2/a^10 - 7/a^8 + 4/a^6 + 4/a^4 - 2/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1059] -> 2 - 2/a^2 + 6*a^2 - 7*a^4 + 2*a^6 + 
   5*z^2 - (3*z^2)/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1060] -> -a^(-16) + 5/a^14 - 7/a^12 - a^(-10) + 
   5/a^8 + (4*z^2)/a^14 - (14*z^2)/a^12 + (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (8*z^4)/a^12 + (9*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^12 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 1061] -> 
  -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 7*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   z^2/a^4 + (16*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (11*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[13, NonAlternating, 1062] -> 2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 
   5*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 1063] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 
   5*a^2*z^2 + 10*a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + 10*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 1064] -> 
  -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 1065] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1066] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, Knot[13, NonAlternating, 1067] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + 3*z^2 - z^2/a^6 + (10*z^2)/a^4 - 
   (14*z^2)/a^2 + a^2*z^2 + 3*z^4 + (5*z^4)/a^4 - (14*z^4)/a^2 + z^6 + 
   z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1068] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1069] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1070] -> 4 + 3/a^4 - 6/a^2 + 5*z^2 - z^2/a^6 + 
   (7*z^2)/a^4 - (14*z^2)/a^2 + 3*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1071] -> 6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 10*z^2 - 
   (3*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, Knot[13, NonAlternating, 1072] -> 
  -4*a^4 + 16*a^6 - 15*a^8 + 4*a^10 - 10*a^4*z^2 + 38*a^6*z^2 - 26*a^8*z^2 + 
   4*a^10*z^2 - 8*a^4*z^4 + 33*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, Knot[13, NonAlternating, 1073] -> 
  -6 + 3/a^6 - 13/a^4 + 17/a^2 - 11*z^2 + (6*z^2)/a^6 - (26*z^2)/a^4 + 
   (35*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 1074] -> -12 + 3/a^2 + 17*a^2 - 7*a^4 - 27*z^2 + 
   (7*z^2)/a^2 + 34*a^2*z^2 - 10*a^4*z^2 - 22*z^4 + (5*z^4)/a^2 + 
   25*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 1075] -> -2/a^12 + 10/a^10 - 17/a^8 + 
   10/a^6 - (3*z^2)/a^12 + (19*z^2)/a^10 - (35*z^2)/a^8 + (21*z^2)/a^6 - 
   z^4/a^12 + (13*z^4)/a^10 - (29*z^4)/a^8 + (14*z^4)/a^6 + (3*z^6)/a^10 - 
   (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 1076] -> -6 + 17*a^2 - 13*a^4 + 3*a^6 - 11*z^2 + 
   35*a^2*z^2 - 26*a^4*z^2 + 6*a^6*z^2 - 6*z^4 + 27*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 1077] -> 4/a^10 - 15/a^8 + 16/a^6 - 4/a^4 + 
   (4*z^2)/a^10 - (26*z^2)/a^8 + (38*z^2)/a^6 - (10*z^2)/a^4 + z^4/a^10 - 
   (15*z^4)/a^8 + (33*z^4)/a^6 - (8*z^4)/a^4 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 1078] -> 
  -5 + 3/a^6 - 14/a^4 + 18/a^2 - a^2 - 10*z^2 + (4*z^2)/a^6 - (26*z^2)/a^4 + 
   (40*z^2)/a^2 - 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (16*z^4)/a^4 + (35*z^4)/a^2 - 
   a^2*z^4 - z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[13, NonAlternating, 1079] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1080] -> -a^2 + a^4 + 7*a^6 - 8*a^8 + 2*a^10 - 
   3*a^2*z^2 + 4*a^4*z^2 + 15*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 1081] -> 
  -a^(-16) + 6/a^14 - 10/a^12 + 2/a^10 + 4/a^8 + (5*z^2)/a^14 - 
   (19*z^2)/a^12 + (9*z^2)/a^10 + (13*z^2)/a^8 - (10*z^4)/a^12 + 
   (13*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 1082] -> 
  -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 
   11*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[13, NonAlternating, 1083] -> 
  -2 + a^(-4) - 2/a^2 + 8*a^2 - 4*a^4 - 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 1084] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + z^2/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1085] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 13*z^2 + 
   (3*z^2)/a^6 - (21*z^2)/a^4 + (35*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (40*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1086] -> 
  3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + (3*z^2)/a^10 - (23*z^2)/a^8 + 
   (37*z^2)/a^6 - (10*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + (33*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 1087] -> -10 + 2/a^2 + 16*a^2 - 7*a^4 - 23*z^2 + 
   (5*z^2)/a^2 + 34*a^2*z^2 - 11*a^4*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   27*a^2*z^4 - 6*a^4*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 1088] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 - 
   4*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 1089] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[13, NonAlternating, 1090] -> 
  3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 1091] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1092] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 1093] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1094] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (18*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1095] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (29*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - (13*z^4)/a^8 + (28*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 1096] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 18*z^2 + 
   (4*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 1097] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[13, NonAlternating, 1098] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1099] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 1100] -> a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1101] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1102] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 1103] -> -9 + 3/a^6 - 16/a^4 + 23/a^2 - 22*z^2 + 
   (4*z^2)/a^6 - (33*z^2)/a^4 + (58*z^2)/a^2 - 19*z^4 + z^4/a^6 - 
   (25*z^4)/a^4 + (61*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (33*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1104] -> 
  -2/a^16 + 12/a^14 - 23/a^12 + 14/a^10 - z^2/a^16 + (16*z^2)/a^14 - 
   (53*z^2)/a^12 + (47*z^2)/a^10 + (5*z^4)/a^14 - (41*z^4)/a^12 + 
   (60*z^4)/a^10 - (12*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[13, NonAlternating, 1105] -> 
  -6*a^4 + 21*a^6 - 19*a^8 + 5*a^10 - 17*a^4*z^2 + 56*a^6*z^2 - 38*a^8*z^2 + 
   6*a^10*z^2 - 17*a^4*z^4 + 59*a^6*z^4 - 28*a^8*z^4 + 2*a^10*z^4 - 
   7*a^4*z^6 + 32*a^6*z^6 - 9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[13, NonAlternating, 1106] -> -4 + a^(-8) - 4/a^6 + 8/a^2 - 
   8*z^2 + z^2/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 1107] -> 
  2 - 2*a^2 + a^6 + a^8 - a^10 + 3*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1108] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 1109] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 1110] -> -a^(-12) + a^(-10) + 3/a^8 - 
   7/a^6 + 5/a^4 - z^2/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 - (15*z^2)/a^6 + 
   (10*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 1111] -> 
  a^(-2) - 4*a^2 + 7*a^4 - 3*a^6 + z^2 + z^2/a^2 - 11*a^2*z^2 + 13*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 - 11*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 1112] -> 
  3 - a^(-10) + 2/a^8 - a^(-6) + 2/a^4 - 4/a^2 + 4*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1113] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 
   2/a^2 + (2*z^2)/a^10 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 1114] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 1115] -> 
  -2/a^12 + 4/a^10 - a^(-8) - 4/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 + 
   z^2/a^8 - (12*z^2)/a^6 + (10*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 - 
   (15*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1116] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   z^2/a^2 - 6*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 9*a^2*z^4 + 
   8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1117] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   4*z^2 + z^2/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1118] -> -a^(-12) + a^(-10) + 2/a^8 - 4/a^6 + 
   2/a^4 + a^(-2) + (2*z^2)/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 1119] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 - 
   z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 1120] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 1121] -> 4*a^2 - 7*a^4 + 4*a^6 + 2*a^8 - 2*a^10 + 
   10*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 6*a^2*z^4 - 
   20*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + a^2*z^6 - 8*a^4*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 1122] -> 1 + a^2 - 4*a^4 + 4*a^6 - a^10 + 3*z^2 - 
   a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 + z^4 - 4*a^2*z^4 - 
   6*a^4*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1123] -> 
  1 - 2*a^2 + 5*a^4 - 5*a^6 + 3*a^8 - a^10 + 2*z^2 - 6*a^2*z^2 + 10*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 1124] -> 
  1 - 2*a^2 + 5*a^4 - 5*a^6 + 3*a^8 - a^10 + 2*z^2 - 6*a^2*z^2 + 10*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 1125] -> 
  -a^(-12) + a^(-10) + 3/a^8 - 7/a^6 + 5/a^4 - z^2/a^12 + (3*z^2)/a^10 + 
   (6*z^2)/a^8 - (15*z^2)/a^6 + (10*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1126] -> a^(-2) - 4*a^2 + 7*a^4 - 3*a^6 + z^2 + 
   z^2/a^2 - 11*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 11*a^2*z^4 + 
   8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1127] -> 3 - a^(-10) + 2/a^8 - a^(-6) + 2/a^4 - 
   4/a^2 + 4*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 
   z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1128] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6, 
 Knot[13, NonAlternating, 1129] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 1130] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4/a^2 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[13, NonAlternating, 1131] -> 
  -5 + 3/a^2 + 3*a^2 - 17*z^2 + (7*z^2)/a^2 + 7*a^2*z^2 - 17*z^4 + 
   (5*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1132] -> -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 1133] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 
   3*a^2 - 10*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - 
   z^4/a^4 + a^2*z^4 - z^6, Knot[13, NonAlternating, 1134] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 - z^2/a^4 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - a^2*z^4, Knot[13, NonAlternating, 1135] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 3*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 7*a^6*z^2 - 
   z^4 + 10*a^2*z^4 - 18*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1136] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (4*z^2)/a^8 + (15*z^2)/a^6 - 
   (19*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1137] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 - 
   (4*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1138] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (2*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 9*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   5*a^4*z^4 - 2*z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1139] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 1140] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (18*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1141] -> 3 - a^(-2) - a^2 + 5*z^2 - z^2/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1142] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 1143] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1144] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 22*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1145] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1146] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (10*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1147] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (20*z^2)/a^2 - 5*z^4 + z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1148] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 15*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - z^8, Knot[13, NonAlternating, 1149] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (22*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1150] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 1151] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1152] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1153] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   (3*z^2)/a^12 + (18*z^2)/a^10 - (32*z^2)/a^8 + (21*z^2)/a^6 - z^4/a^12 + 
   (20*z^4)/a^10 - (43*z^4)/a^8 + (21*z^4)/a^6 + (8*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 1154] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (3*z^2)/a^8 + (22*z^2)/a^6 - (34*z^2)/a^4 + (15*z^2)/a^2 - z^4/a^8 + 
   (21*z^4)/a^6 - (47*z^4)/a^4 + (16*z^4)/a^2 + (8*z^6)/a^6 - (30*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1155] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (11*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + 
   (6*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1156] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   7*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1157] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1158] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 33*z^2 - 
   (4*z^2)/a^4 + (24*z^2)/a^2 + 13*a^2*z^2 - 46*z^4 - z^4/a^4 + 
   (22*z^4)/a^2 + 16*a^2*z^4 - 30*z^6 + (8*z^6)/a^2 + 7*a^2*z^6 - 9*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[13, NonAlternating, 1159] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (3*z^2)/a^12 + (11*z^2)/a^10 - 
   (17*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (9*z^4)/a^10 - (14*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^6)/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 1160] -> -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + 
   21*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 18*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - z^6 + 7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1161] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   14*z^2 - z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 13*z^4 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, NonAlternating, 1162] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 1163] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 1164] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (3*z^2)/a^10 - (23*z^2)/a^8 + 
   (37*z^2)/a^6 - (11*z^2)/a^4 + z^4/a^10 - (21*z^4)/a^8 + (48*z^4)/a^6 - 
   (15*z^4)/a^4 - (8*z^6)/a^8 + (30*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + 
   (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 1165] -> 
  -a^(-8) + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1166] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (21*z^2)/a^4 + (36*z^2)/a^2 - 16*z^4 + z^4/a^6 - 
   (21*z^4)/a^4 + (47*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (30*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1167] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 - z^2/a^4 + 
   (13*z^2)/a^2 - 5*z^4 - (5*z^4)/a^6 + (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 1168] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 
   4*z^2 - z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1169] -> 
  -a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 5/a^2 - z^2/a^10 + (8*z^2)/a^8 - 
   (2*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 + (6*z^4)/a^8 - (9*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[13, NonAlternating, 1170] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1171] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 1172] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - (6*z^4)/a^8 + (12*z^4)/a^6 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 1173] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 1174] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1175] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (16*z^4)/a^6 - (34*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1176] -> -a^(-16) + 7/a^14 - 16/a^12 + 11/a^10 + 
   (8*z^2)/a^14 - (39*z^2)/a^12 + (42*z^2)/a^10 + (2*z^4)/a^14 - 
   (32*z^4)/a^12 + (58*z^4)/a^10 - (10*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[13, NonAlternating, 1177] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 10*z^2 + 28*a^2*z^2 - 16*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 + 22*a^2*z^4 - 8*a^4*z^4 - z^6 + 8*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 1178] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1179] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1180] -> 
  -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 - z^2/a^12 + (11*z^2)/a^10 - 
   (26*z^2)/a^8 + (18*z^2)/a^6 + (6*z^4)/a^10 - (19*z^4)/a^8 + (11*z^4)/a^6 + 
   z^6/a^10 - (7*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 1181] -> -3*a^2 + 8*a^4 - 3*a^6 - a^8 - 7*a^2*z^2 + 
   19*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 - 5*a^2*z^4 + 17*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + a^4*z^8, Knot[13, NonAlternating, 1182] -> 
  -5*a^4 + 16*a^6 - 12*a^8 + 2*a^10 - 15*a^4*z^2 + 47*a^6*z^2 - 25*a^8*z^2 + 
   2*a^10*z^2 - 16*a^4*z^4 + 54*a^6*z^4 - 21*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 
   31*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 1183] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 
   6*z^2 + z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1184] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 
   7*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1185] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 1186] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 
   7*z^2 - z^2/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 1187] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (12*z^2)/a^4 - (6*z^2)/a^2 - 
   (6*z^4)/a^8 + (11*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1188] -> -4 - 2/a^6 + 5/a^4 - a^(-2) + 3*a^2 - 
   11*z^2 - z^2/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 + 
   (6*z^4)/a^4 - (11*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, NonAlternating, 1189] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + (2*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 1190] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 7*z^2 - (3*z^2)/a^2 - 4*a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1191] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 17*z^2 + 
   (3*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 10*z^4 + z^4/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 2*z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1192] -> -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 
   8*a^4*z^2 + 31*a^6*z^2 - 16*a^8*z^2 + a^10*z^2 - 5*a^4*z^4 + 24*a^6*z^4 - 
   7*a^8*z^4 - a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 1193] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 6*z^2 + 
   (6*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 1194] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 
   9*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (20*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1195] -> -a^(-16) + 7/a^14 - 15/a^12 + 9/a^10 + 
   a^(-8) + (7*z^2)/a^14 - (30*z^2)/a^12 + (26*z^2)/a^10 + (7*z^2)/a^8 + 
   z^4/a^14 - (18*z^4)/a^12 + (28*z^4)/a^10 + (11*z^4)/a^8 - (3*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 1196] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 17*z^2 + 
   (3*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 10*z^4 + z^4/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 2*z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1197] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 6*z^2 + 
   (6*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 1198] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 
   9*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (20*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1199] -> 3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + 
   (3*z^2)/a^10 - (27*z^2)/a^8 + (45*z^2)/a^6 - (14*z^2)/a^4 + z^4/a^10 - 
   (22*z^4)/a^8 + (53*z^4)/a^6 - (16*z^4)/a^4 - (8*z^6)/a^8 + (31*z^6)/a^6 - 
   (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 1200] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (16*z^4)/a^6 - (34*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1201] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1202] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1203] -> 
  -13 - 4/a^4 + 13/a^2 + 5*a^2 - 41*z^2 - (4*z^2)/a^4 + (28*z^2)/a^2 + 
   16*a^2*z^2 - 51*z^4 - z^4/a^4 + (23*z^4)/a^2 + 17*a^2*z^4 - 31*z^6 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - 9*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 1204] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 - (23*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + 
   (9*z^4)/a^10 - (16*z^4)/a^8 + (10*z^4)/a^6 + (2*z^6)/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 1205] -> 
  -4 + 13*a^2 - 11*a^4 + 3*a^6 - 8*z^2 + 25*a^2*z^2 - 19*a^4*z^2 + 
   4*a^6*z^2 - 5*z^4 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - z^6 + 7*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1206] -> 
  3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + (3*z^2)/a^10 - (27*z^2)/a^8 + 
   (45*z^2)/a^6 - (14*z^2)/a^4 + z^4/a^10 - (22*z^4)/a^8 + (53*z^4)/a^6 - 
   (16*z^4)/a^4 - (8*z^6)/a^8 + (31*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + 
   (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 1207] -> 
  -4 - a^(-8) + 2/a^6 + a^(-2) + 3*a^2 - 7*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1208] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 + (2*z^2)/a^10 - z^2/a^8 - 
   z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 - z^4/a^6 - z^4/a^4, 
 Knot[13, NonAlternating, 1209] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^2 + a^2*z^4, 
 Knot[13, NonAlternating, 1210] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (23*z^2)/a^2 - 12*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (34*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1211] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 + z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1212] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[13, NonAlternating, 1213] -> 
  5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 9*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1214] -> 
  3*a^4 - 2*a^6 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   8*a^2*z^4 + 4*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1215] -> 3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 9*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 1216] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (2*z^2)/a^10 - z^2/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^10 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1217] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 
   8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 1218] -> a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^8 + 
   (13*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1219] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1220] -> 
  4 - 2/a^2 - a^4 + 8*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1221] -> -2/a^6 + 3/a^4 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1222] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (3*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 1223] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1224] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 5*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 1225] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1226] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 
   4*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[13, NonAlternating, 1227] -> 3/a^8 - 8/a^6 + 6/a^4 + (5*z^2)/a^8 - 
   (16*z^2)/a^6 + (13*z^2)/a^4 - (2*z^2)/a^2 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (11*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 1228] -> -3*a^2 + 8*a^4 - 3*a^6 - a^8 - 
   5*a^2*z^2 + 15*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 9*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 1229] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1230] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   2*z^2 + (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2, Knot[13, NonAlternating, 1231] -> 
  -1 - a^(-6) + 2/a^4 + a^(-2) - 2*a^2 + 2*a^4 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4/a^4 + z^4/a^2 - a^2*z^4, 
 Knot[13, NonAlternating, 1232] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 1233] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - z^2 + 
   2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[13, NonAlternating, 1234] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1235] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   6*z^2 - z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1236] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 4*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (10*z^2)/a^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1237] -> 4/a^6 - 9/a^4 + 6/a^2 + (10*z^2)/a^6 - 
   (24*z^2)/a^4 + (11*z^2)/a^2 + (6*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 + 
   z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 1238] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1239] -> 
  -a^(-12) + 5/a^10 - 6/a^8 - a^(-6) + 4/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (10*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - 
   (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1240] -> 
  -a^2 + 9*a^6 - 9*a^8 + 2*a^10 - 2*a^2*z^2 + a^4*z^2 + 19*a^6*z^2 - 
   12*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   a^4*z^6 + 3*a^6*z^6, Knot[13, NonAlternating, 1241] -> 
  -a^(-12) + 6/a^10 - 10/a^8 + 4/a^6 + 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (17*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 1242] -> -1 - a^(-2) + 9*a^2 - 8*a^4 + 2*a^6 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1243] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + (5*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1244] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 2*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - (5*z^4)/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^4, Knot[13, NonAlternating, 1245] -> 
  4 - a^(-6) + 3/a^4 - 3/a^2 - 4*a^2 + 2*a^4 + 8*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, Knot[13, NonAlternating, 1246] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 3*z^2 + 8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - z^4 + 5*a^2*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 1247] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 
   9*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1248] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (2*z^2)/a^10 - z^2/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^10 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1249] -> 3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 9*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 1250] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 
   2*a^4 + 8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   8*z^4 + z^4/a^4 - (6*z^4)/a^2 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 1251] -> a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^8 + 
   (13*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1252] -> -2/a^6 + 3/a^4 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1253] -> 4 - 2/a^2 - a^4 + 8*z^2 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 1254] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1255] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1256] -> -2/a^6 + 3/a^4 - z^2/a^12 + (2*z^2)/a^10 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1257] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1258] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 + 2*z^4 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1259] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 
   6*z^2 - z^2/a^4 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 1260] -> 
  2 - a^(-2) + a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 1261] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + 
   (2*z^4)/a^10 + (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 1262] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 1263] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 5*z^2 + (3*z^2)/a^6 + z^2/a^4 - 
   (10*z^2)/a^2 + 3*z^4 + z^4/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1264] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1265] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1266] -> -2/a^6 + 3/a^4 - z^2/a^12 + (2*z^2)/a^10 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1267] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 1268] -> 
  -2 - a^(-8) + 2/a^6 + 2*a^2 - 3*z^2 + (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 - (2*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[13, NonAlternating, 1269] -> -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 
   2*a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   z^4 + z^4/a^6 - z^4/a^2, Knot[13, NonAlternating, 1270] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 
   4*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 1271] -> 4/a^6 - 9/a^4 + 6/a^2 + 
   (6*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^4, Knot[13, NonAlternating, 1272] -> 
  -7 - 3/a^4 + 9/a^2 + a^2 + a^4 - 15*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 11*z^4 + (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 1273] -> -a^2 + 9*a^6 - 9*a^8 + 2*a^10 - 
   2*a^2*z^2 + a^4*z^2 + 19*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + a^4*z^6 + 3*a^6*z^6, 
 Knot[13, NonAlternating, 1274] -> -a^(-12) + 6/a^10 - 10/a^8 + 4/a^6 + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (17*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 1275] -> 
  -1 - a^(-2) + 9*a^2 - 8*a^4 + 2*a^6 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1276] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1277] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 15*z^2 + 
   (3*z^2)/a^6 - (23*z^2)/a^4 + (40*z^2)/a^2 - 14*z^4 + z^4/a^6 - 
   (19*z^4)/a^4 + (44*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1278] -> 
  3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (32*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - (13*z^4)/a^8 + (29*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 1279] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 21*z^2 + 
   (5*z^2)/a^2 + 29*a^2*z^2 - 9*a^4*z^2 - 18*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 1280] -> -5*a^4 + 18*a^6 - 16*a^8 + 4*a^10 - 
   12*a^4*z^2 + 43*a^6*z^2 - 28*a^8*z^2 + 4*a^10*z^2 - 9*a^4*z^4 + 
   37*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^6*z^8, Knot[13, NonAlternating, 1281] -> 
  -13 + 3/a^2 + 19*a^2 - 8*a^4 - 29*z^2 + (7*z^2)/a^2 + 39*a^2*z^2 - 
   12*a^4*z^2 - 23*z^4 + (5*z^4)/a^2 + 29*a^2*z^4 - 6*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 1282] -> -6 + 4/a^6 - 15/a^4 + 18/a^2 - 11*z^2 + 
   (8*z^2)/a^6 - (31*z^2)/a^4 + (37*z^2)/a^2 - 6*z^4 + (5*z^4)/a^6 - 
   (24*z^4)/a^4 + (28*z^4)/a^2 - z^6 + z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 1283] -> 
  -2/a^12 + 11/a^10 - 19/a^8 + 11/a^6 - (3*z^2)/a^12 + (21*z^2)/a^10 - 
   (40*z^2)/a^8 + (23*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - (33*z^4)/a^8 + 
   (15*z^4)/a^6 + (3*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 1284] -> -7 + 3/a^6 - 14/a^4 + 19/a^2 - 15*z^2 + 
   (4*z^2)/a^6 - (26*z^2)/a^4 + (42*z^2)/a^2 - 10*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (36*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[13, NonAlternating, 1285] -> 
  -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 4*a^2*z^2 + 9*a^4*z^2 + 
   9*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 7*a^6*z^4 - 
   3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, Knot[13, NonAlternating, 1286] -> 
  a^(-4) - 3/a^2 + 7*a^2 - 4*a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 1287] -> 
  3 + 2/a^6 - 6/a^4 + 4/a^2 - 2*a^2 + 7*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[13, NonAlternating, 1288] -> 
  -a^(-12) + 5/a^10 - 6/a^8 - a^(-6) + 4/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (9*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 1289] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1290] -> -8 + 3/a^6 - 15/a^4 + 21/a^2 - 20*z^2 + 
   (4*z^2)/a^6 - (31*z^2)/a^4 + (53*z^2)/a^2 - 18*z^4 + z^4/a^6 - 
   (24*z^4)/a^4 + (57*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (32*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1291] -> 
  -2/a^16 + 11/a^14 - 21/a^12 + 13/a^10 - z^2/a^16 + (14*z^2)/a^14 - 
   (48*z^2)/a^12 + (45*z^2)/a^10 + (4*z^4)/a^14 - (37*z^4)/a^12 + 
   (59*z^4)/a^10 - (11*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[13, NonAlternating, 1292] -> 
  -6*a^4 + 20*a^6 - 17*a^8 + 4*a^10 - 17*a^4*z^2 + 54*a^6*z^2 - 33*a^8*z^2 + 
   4*a^10*z^2 - 17*a^4*z^4 + 58*a^6*z^4 - 24*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 
   32*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 1293] -> -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 
   8*z^2 + z^2/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 1294] -> 
  -a^(-16) + 5/a^14 - 8/a^12 + a^(-10) + 4/a^8 + (4*z^2)/a^14 - 
   (16*z^2)/a^12 + (8*z^2)/a^10 + (13*z^2)/a^8 - (9*z^4)/a^12 + 
   (13*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 1295] -> 
  -2*a^2 + 3*a^4 + 6*a^6 - 8*a^8 + 2*a^10 - 5*a^2*z^2 + 8*a^4*z^2 + 
   15*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 14*a^6*z^4 - 
   6*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 1296] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1297] -> 
  -a^(-8) + 8/a^6 - 14/a^4 + 8/a^2 - z^2/a^8 + (14*z^2)/a^6 - (29*z^2)/a^4 + 
   (12*z^2)/a^2 + (7*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1298] -> 
  4 + 2/a^6 - a^(-4) - 4/a^2 + 4*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[13, NonAlternating, 1299] -> -a^(-12) + 6/a^10 - 10/a^8 + 
   4/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - (18*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^4)/a^10 - (14*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1300] -> -a^2 + 9*a^6 - 9*a^8 + 2*a^10 - 
   3*a^2*z^2 + 2*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 16*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 1301] -> 
  -a^(-16) + 6/a^14 - 11/a^12 + 4/a^10 + 3/a^8 + (5*z^2)/a^14 - 
   (21*z^2)/a^12 + (14*z^2)/a^10 + (11*z^2)/a^8 - (11*z^4)/a^12 + 
   (17*z^4)/a^10 + (14*z^4)/a^8 - z^6/a^12 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 1302] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (5*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 1303] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 
   4/a^4 - 3/a^2 + 2*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 - (5*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1304] -> 4 - a^(-6) + 3/a^4 - 3/a^2 - 4*a^2 + 
   2*a^4 + 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1305] -> -5*a^4 + 18*a^6 - 16*a^8 + 4*a^10 - 
   12*a^4*z^2 + 43*a^6*z^2 - 28*a^8*z^2 + 4*a^10*z^2 - 9*a^4*z^4 + 
   37*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^6*z^8, Knot[13, NonAlternating, 1306] -> 
  -6 + 4/a^6 - 15/a^4 + 18/a^2 - 11*z^2 + (8*z^2)/a^6 - (31*z^2)/a^4 + 
   (37*z^2)/a^2 - 6*z^4 + (5*z^4)/a^6 - (24*z^4)/a^4 + (28*z^4)/a^2 - z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 1307] -> -13 + 3/a^2 + 19*a^2 - 8*a^4 - 29*z^2 + 
   (7*z^2)/a^2 + 39*a^2*z^2 - 12*a^4*z^2 - 23*z^4 + (5*z^4)/a^2 + 
   29*a^2*z^4 - 6*a^4*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 1308] -> -2/a^12 + 11/a^10 - 19/a^8 + 
   11/a^6 - (3*z^2)/a^12 + (21*z^2)/a^10 - (40*z^2)/a^8 + (23*z^2)/a^6 - 
   z^4/a^12 + (14*z^4)/a^10 - (33*z^4)/a^8 + (15*z^4)/a^6 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 1309] -> -6 + 18*a^2 - 15*a^4 + 4*a^6 - 11*z^2 + 
   37*a^2*z^2 - 31*a^4*z^2 + 8*a^6*z^2 - 6*z^4 + 28*a^2*z^4 - 24*a^4*z^4 + 
   5*a^6*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 1310] -> 4/a^10 - 16/a^8 + 18/a^6 - 5/a^4 + 
   (4*z^2)/a^10 - (28*z^2)/a^8 + (43*z^2)/a^6 - (12*z^2)/a^4 + z^4/a^10 - 
   (16*z^4)/a^8 + (37*z^4)/a^6 - (9*z^4)/a^4 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 1311] -> 
  -7 + 3/a^6 - 14/a^4 + 19/a^2 - 15*z^2 + (4*z^2)/a^6 - (26*z^2)/a^4 + 
   (42*z^2)/a^2 - 10*z^4 + z^4/a^6 - (16*z^4)/a^4 + (36*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[13, NonAlternating, 1312] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 
   4*a^2*z^2 + 9*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[13, NonAlternating, 1313] -> 3 + 2/a^6 - 6/a^4 + 4/a^2 - 2*a^2 + 
   7*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 1314] -> a^(-4) - 3/a^2 + 7*a^2 - 4*a^4 + z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 1315] -> -a^(-12) + 5/a^10 - 6/a^8 - a^(-6) + 
   4/a^4 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 1316] -> 
  3 - 2/a^2 + 4*a^2 - 6*a^4 + 2*a^6 + 7*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   z^6 - a^4*z^6, Knot[13, NonAlternating, 1317] -> 
  2/a^10 - 7/a^8 + 4/a^6 + 4/a^4 - 2/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (9*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1318] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1319] -> 4/a^10 - 17/a^8 + 20/a^6 - 6/a^4 + 
   (4*z^2)/a^10 - (33*z^2)/a^8 + (54*z^2)/a^6 - (17*z^2)/a^4 + z^4/a^10 - 
   (24*z^4)/a^8 + (58*z^4)/a^6 - (17*z^4)/a^4 - (8*z^6)/a^8 + (32*z^6)/a^6 - 
   (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 1320] -> -2/a^16 + 11/a^14 - 21/a^12 + 13/a^10 - 
   z^2/a^16 + (14*z^2)/a^14 - (48*z^2)/a^12 + (45*z^2)/a^10 + (4*z^4)/a^14 - 
   (37*z^4)/a^12 + (59*z^4)/a^10 - (11*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[13, NonAlternating, 1321] -> 
  -6*a^4 + 20*a^6 - 17*a^8 + 4*a^10 - 17*a^4*z^2 + 54*a^6*z^2 - 33*a^8*z^2 + 
   4*a^10*z^2 - 17*a^4*z^4 + 58*a^6*z^4 - 24*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 
   32*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 1322] -> 2/a^10 - 8/a^8 + 6/a^6 + 3/a^4 - 2/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 - 
   (6*z^4)/a^8 + (14*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1323] -> -a^(-16) + 5/a^14 - 8/a^12 + a^(-10) + 
   4/a^8 + (4*z^2)/a^14 - (16*z^2)/a^12 + (8*z^2)/a^10 + (13*z^2)/a^8 - 
   (9*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 1324] -> 
  -2*a^2 + 3*a^4 + 6*a^6 - 8*a^8 + 2*a^10 - 5*a^2*z^2 + 8*a^4*z^2 + 
   15*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 14*a^6*z^4 - 
   6*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 1325] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1326] -> 2 - a^(-2) + a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1327] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + 
   (2*z^4)/a^10 + (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 1328] -> 
  -6 + 2/a^6 - 11/a^4 + 16/a^2 - 15*z^2 + (3*z^2)/a^6 - (23*z^2)/a^4 + 
   (40*z^2)/a^2 - 14*z^4 + z^4/a^6 - (19*z^4)/a^4 + (44*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 1329] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (32*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (29*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 1330] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 21*z^2 + (5*z^2)/a^2 + 29*a^2*z^2 - 
   9*a^4*z^2 - 18*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 1331] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - z^4/a^2, 
 Knot[13, NonAlternating, 1332] -> -a^(-12) + 5/a^10 - 6/a^8 - a^(-6) + 
   4/a^4 - z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1333] -> -8 + 3/a^6 - 15/a^4 + 21/a^2 - 20*z^2 + 
   (4*z^2)/a^6 - (31*z^2)/a^4 + (53*z^2)/a^2 - 18*z^4 + z^4/a^6 - 
   (24*z^4)/a^4 + (57*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (32*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1334] -> 
  -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 8*z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[13, NonAlternating, 1335] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 
   4/a^2 + a^2 + 4*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1336] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 4*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^4 + (2*z^4)/a^2, Knot[13, NonAlternating, 1337] -> 
  -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 1338] -> 
  1 + a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 - 2*a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 1339] -> 
  1 - a^2 + 2*a^4 - a^6 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 1340] -> 
  1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 1341] -> -a^(-12) + a^(-10) + 2/a^8 - 5/a^6 + 
   4/a^4 - z^2/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 - (13*z^2)/a^6 + 
   (10*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 1342] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1343] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 
   3*a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 1344] -> 
  4*a^2 - 7*a^4 + 5*a^6 - a^10 + 10*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 + 
   a^2*z^6 - 8*a^4*z^6 - a^4*z^8, Knot[13, NonAlternating, 1345] -> 
  1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 3*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + z^4 - 4*a^2*z^4 - 5*a^4*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1346] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 - z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 1347] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 1348] -> 
  -a^(-12) + a^(-10) + 2/a^8 - 5/a^6 + 4/a^4 + (2*z^2)/a^10 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^8 - (8*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 1349] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^4 + 
   z^4/a^2 + z^6/a^2, Knot[13, NonAlternating, 1350] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 1351] -> 2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 
   3*z^2 - 5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 - a^2*z^6, Knot[13, NonAlternating, 1352] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^2 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 1353] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 1354] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 5*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 1355] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 1356] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 1357] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 1358] -> 
  2*a^2 - a^4 - z^2/a^2 + 3*a^2*z^2 - a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 1359] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 - 
   4*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[13, NonAlternating, 1360] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - 
   z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1361] -> 5*a^2 - 7*a^4 + 3*a^6 + 7*a^2*z^2 - 
   15*a^4*z^2 + 6*a^6*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1362] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1363] -> -4 - 4/a^4 + 9/a^2 - a^2 + a^4 - 11*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 12*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[13, NonAlternating, 1364] -> -3 + 12*a^2 - 12*a^4 + 4*a^6 - 5*z^2 + 
   21*a^2*z^2 - 23*a^4*z^2 + 7*a^6*z^2 - 2*z^4 + 13*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 1365] -> -2/a^8 + 9/a^6 - 13/a^4 + 7/a^2 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (25*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 1366] -> 
  -11 - 4/a^4 + 12/a^2 + 4*a^2 - 25*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 
   7*a^2*z^2 + a^4*z^2 - 21*z^4 - z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 + 
   a^4*z^4 - 8*z^6 + (2*z^6)/a^2 - z^8, Knot[13, NonAlternating, 1367] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1368] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^2, Knot[13, NonAlternating, 1369] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*z^6, 
 Knot[13, NonAlternating, 1370] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 1371] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1372] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   z^2/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 1373] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 4*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[13, NonAlternating, 1374] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1375] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 
   2*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 1376] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 - z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1377] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 
   3*z^4 + z^4/a^2 + 2*a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1378] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1379] -> 
  1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^4, Knot[13, NonAlternating, 1380] -> 
  -2/a^12 + 12/a^10 - 21/a^8 + 12/a^6 - (3*z^2)/a^12 + (26*z^2)/a^10 - 
   (51*z^2)/a^8 + (28*z^2)/a^6 - z^4/a^12 + (22*z^4)/a^10 - (54*z^4)/a^8 + 
   (23*z^4)/a^6 + (8*z^6)/a^10 - (31*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 1381] -> 
  -a^(-12) + 6/a^10 - 8/a^8 + 4/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (15*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1382] -> 
  -a^(-12) + 7/a^10 - 12/a^8 + 5/a^6 + 2/a^4 - z^2/a^12 + (11*z^2)/a^10 - 
   (21*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - (15*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1383] -> 
  -a^2 - a^4 + 11*a^6 - 10*a^8 + 2*a^10 - 3*a^2*z^2 + a^4*z^2 + 23*a^6*z^2 - 
   14*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 17*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 1384] -> -a^(-16) + 6/a^14 - 12/a^12 + 6/a^10 + 
   2/a^8 + (5*z^2)/a^14 - (22*z^2)/a^12 + (17*z^2)/a^10 + (10*z^2)/a^8 - 
   (11*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 - z^6/a^12 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 1385] -> 
  -2/a^12 + 12/a^10 - 21/a^8 + 12/a^6 - (3*z^2)/a^12 + (26*z^2)/a^10 - 
   (51*z^2)/a^8 + (28*z^2)/a^6 - z^4/a^12 + (22*z^4)/a^10 - (54*z^4)/a^8 + 
   (23*z^4)/a^6 + (8*z^6)/a^10 - (31*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 1386] -> 
  -a^(-12) + 6/a^10 - 8/a^8 + 4/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (15*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1387] -> 
  4 + a^(-4) - 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 
   2*a^4*z^4 + z^6 - a^2*z^6, Knot[13, NonAlternating, 1388] -> 
  3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 4*z^2 - 11*a^2*z^2 + 8*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + z^4 - 7*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + 
   a^4*z^6, Knot[13, NonAlternating, 1389] -> -3 + 2/a^2 + 3*a^2 - a^4 - 
   a^6 + a^8 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^6*z^2 - z^4 + a^2*z^4 + 
   a^4*z^4, Knot[13, NonAlternating, 1390] -> -2/a^10 + 5/a^8 - 6/a^6 + 
   4/a^4 - z^2/a^10 + (10*z^2)/a^8 - (13*z^2)/a^6 + (6*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^8 - (11*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 1391] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 
   4*a^4 - a^6 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 1392] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 
   8*z^2 - z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1393] -> 3*a^4 - 2*a^6 + 5*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 1394] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   a^6*z^4 - a^8*z^4, Knot[13, NonAlternating, 1395] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1396] -> -1 - 2/a^4 + 4/a^2 + z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 1397] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1398] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[13, NonAlternating, 1399] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   16*a^2*z^2 - 7*a^4*z^2 - 5*z^4 + 17*a^2*z^4 - 5*a^4*z^4 - z^6 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1400] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1401] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 9*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 8*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 1402] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + 3*a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 1403] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 1404] -> 3*a^4 - 2*a^6 + 6*a^4*z^2 - 
   3*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 + 2*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 
   a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 1405] -> 
  a^2 + a^4 - a^6 + 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^10*z^2 - a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4, Knot[13, NonAlternating, 1406] -> 
  3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 1407] -> 2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 
   2*a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[13, NonAlternating, 1408] -> 1 + 2*z^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 1409] -> 2 - 2*a^2 + a^4 + 2*z^2 - 
   3*a^2*z^2 - a^4*z^2 + a^8*z^2 - 2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[13, NonAlternating, 1410] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1411] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^6, Knot[13, NonAlternating, 1412] -> 
  -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 4*a^2*z^2 + 9*a^4*z^2 + 6*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 1413] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + z^4 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 1414] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 7*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + 
   (22*z^2)/a^2 - 5*z^4 + z^4/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1415] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (25*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - (10*z^4)/a^8 + (20*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1416] -> -3*a^4 + 12*a^6 - 10*a^8 + 2*a^10 - 
   11*a^4*z^2 + 38*a^6*z^2 - 23*a^8*z^2 + 3*a^10*z^2 - 15*a^4*z^4 + 
   48*a^6*z^4 - 21*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 30*a^6*z^6 - 8*a^8*z^6 - 
   a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 1417] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 6*z^2 + 
   21*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 2*z^4 + 14*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 1418] -> -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 + 
   17*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 1419] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 1420] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1421] -> -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 
   3*a^2*z^2 + 5*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 
   7*a^4*z^4 + 12*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 1422] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 1423] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) + (2*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 1424] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1425] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 6*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 
   3*a^8*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1426] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 1427] -> 
  -2/a^12 + 7/a^10 - 11/a^8 + 7/a^6 - (3*z^2)/a^12 + (19*z^2)/a^10 - 
   (32*z^2)/a^8 + (21*z^2)/a^6 - z^4/a^12 + (20*z^4)/a^10 - (43*z^4)/a^8 + 
   (21*z^4)/a^6 + (8*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 1428] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[13, NonAlternating, 1429] -> 
  3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 8*a^2*z^2 - 19*a^4*z^2 + 19*a^6*z^2 - 
   4*a^8*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1430] -> 
  -8 + 3/a^2 + 9*a^2 - 3*a^4 - 21*z^2 + (7*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 18*z^4 + (5*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[13, NonAlternating, 1431] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1432] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 1433] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + (2*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 1434] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 1435] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 5*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 1436] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   2*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^4, Knot[13, NonAlternating, 1437] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1438] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 1439] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 4*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1440] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1441] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[13, NonAlternating, 1442] -> -1 - 2/a^4 + 4/a^2 - z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[13, NonAlternating, 1443] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + z^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1444] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1445] -> -3 + a^(-4) + 4*a^2 - a^4 - 8*z^2 + 
   z^2/a^4 + 6*a^2*z^2 - a^4*z^2 - 5*z^4 + 2*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 1446] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[13, NonAlternating, 1447] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (6*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 1448] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1449] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 1450] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - z^2/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + 3*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + z^6, Knot[13, NonAlternating, 1451] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[13, NonAlternating, 1452] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1453] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (5*z^2)/a^12 + (24*z^2)/a^10 - (37*z^2)/a^8 + (22*z^2)/a^6 - 
   (2*z^4)/a^12 + (24*z^4)/a^10 - (45*z^4)/a^8 + (21*z^4)/a^6 + 
   (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 1454] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 
   a^4*z^2 - 7*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1455] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1456] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 1457] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 1458] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1459] -> 
  4 + a^(-4) - 3/a^2 - a^2 + z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1460] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 1461] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[13, NonAlternating, 1462] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 2*a^2*z^2 + a^6*z^2 + 2*z^4 - 
   6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1463] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 1464] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 1465] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 1466] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + z^6/a^6, Knot[13, NonAlternating, 1467] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 8*z^2 + z^2/a^4 + 7*a^2*z^2 - a^4*z^2 - 
   5*z^4 + 2*a^2*z^4 - z^6, Knot[13, NonAlternating, 1468] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   2*z^4 - z^4/a^2 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1469] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   6*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 1470] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 18*z^2 + 
   (7*z^2)/a^2 + 11*a^2*z^2 - a^4*z^2 - 17*z^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 
   7*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1471] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   2*a^4*z^4 + 10*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 1472] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1473] -> a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - a^4*z^4 + 4*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[13, NonAlternating, 1474] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 1475] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^2*z^4 - 3*a^4*z^4, 
 Knot[13, NonAlternating, 1476] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 1477] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1478] -> 3*a^4 - 2*a^6 - a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 1479] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (5*z^2)/a^8 + (15*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1480] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1481] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 1482] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4, Knot[13, NonAlternating, 1483] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 1484] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 8*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 1485] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 1486] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1487] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1488] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 1489] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (6*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - 
   (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1490] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + z^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 - z^4/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[13, NonAlternating, 1491] -> -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 + 
   (3*z^2)/a^10 - (5*z^2)/a^6 + (3*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 1492] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 
   4*z^2 + (2*z^2)/a^4 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^2 - a^2*z^4, 
 Knot[13, NonAlternating, 1493] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 1494] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 1495] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1496] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^2 + z^4/a^6 - z^4/a^2, 
 Knot[13, NonAlternating, 1497] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1498] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1499] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 1500] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 1501] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1502] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1503] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1504] -> -3*a^4 + 13*a^6 - 12*a^8 + 3*a^10 - 
   12*a^4*z^2 + 42*a^6*z^2 - 29*a^8*z^2 + 5*a^10*z^2 - 15*a^4*z^4 + 
   50*a^6*z^4 - 25*a^8*z^4 + 2*a^10*z^4 - 7*a^4*z^6 + 30*a^6*z^6 - 
   9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 1505] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + 
   z^2/a^8 - (11*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1506] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1507] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, 
 Knot[13, NonAlternating, 1508] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1509] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 1510] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1511] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1512] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 7*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1513] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + (2*z^4)/a^2, 
 Knot[13, NonAlternating, 1514] -> a^4 + 2*a^8 - 2*a^10 + 4*a^4*z^2 - 
   a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 - 
   a^6*z^6, Knot[13, NonAlternating, 1515] -> 1 - 2/a^4 + 3/a^2 - a^2 - 
   2*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 - 3*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1516] -> 3*a^6 - a^8 - a^10 + 9*a^6*z^2 - 
   3*a^8*z^2 + 3*a^10*z^2 - 2*a^12*z^2 + 8*a^6*z^4 - 5*a^8*z^4 + 6*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 1517] -> -2/a^12 + 7/a^10 - 11/a^8 + 7/a^6 - 
   (5*z^2)/a^12 + (23*z^2)/a^10 - (34*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^4)/a^12 + (24*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + 
   (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 1518] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 7*z^2 - z^2/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1519] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + a^4*z^2 + 
   9*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, Knot[13, NonAlternating, 1520] -> 
  -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (12*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + (7*z^4)/a^10 - (11*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1521] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 
   2*a^10*z^2 + a^4*z^4 - a^8*z^4, Knot[13, NonAlternating, 1522] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 1523] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 12*z^2 - z^2/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + 
   a^4*z^2 + 12*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1524] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 2*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 + 
   5*z^4 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 1525] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   2*z^2 - (3*z^2)/a^2 - z^4/a^8 + z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1526] -> -3 + a^(-4) + 4*a^2 - a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^2, 
 Knot[13, NonAlternating, 1527] -> 2 + a^(-6) - a^(-4) - a^(-2) + 6*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1528] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 + (3*z^2)/a^10 + z^2/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^10 + 
   z^4/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1529] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + a^4*z^4 + a^6*z^4 - 
   a^8*z^4, Knot[13, NonAlternating, 1530] -> a^2 + a^4 - a^6 + 2*z^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 9*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1531] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1532] -> 
  a^2 + a^6 - a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   3*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1533] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 9*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + 6*a^6*z^4 + a^10*z^4 + a^6*z^6, 
 Knot[13, NonAlternating, 1534] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - 
   (3*z^2)/a^12 + (19*z^2)/a^10 - (31*z^2)/a^8 + (21*z^2)/a^6 - z^4/a^12 + 
   (20*z^4)/a^10 - (43*z^4)/a^8 + (21*z^4)/a^6 + (8*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 1535] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   z^2/a^10 + (4*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^10 + 
   (2*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[13, NonAlternating, 1536] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 1537] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 1538] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 - 3*a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^2, Knot[13, NonAlternating, 1539] -> 
  1 + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1540] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1541] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 + (7*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 
   17*z^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1542] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1543] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   4*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   a^6*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 1544] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (5*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1545] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 - 
   a^6*z^4 - a^2*z^6, Knot[13, NonAlternating, 1546] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1547] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 8*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - 10*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 1548] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[13, NonAlternating, 1549] -> 
  -5 + 3/a^2 + 3*a^2 - 9*z^2 - z^2/a^6 + (5*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1550] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[13, NonAlternating, 1551] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 1552] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 1553] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 13*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 1554] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 
   3*a^4 - a^6 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 
   a^6*z^2 + 10*z^4 - (4*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[13, NonAlternating, 1555] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1556] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 + 
   2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 1557] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 8*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + a^8*z^2 - 
   2*z^4 + 6*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 1558] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1559] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 1560] -> 
  1 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1561] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 7*z^2 - (4*z^2)/a^2 - 9*a^2*z^2 + 
   2*a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 1562] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 9*z^2 - z^2/a^6 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1563] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 - 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - z^4/a^8 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 1564] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 8*z^2 + z^2/a^4 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1565] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 1566] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 4*a^6*z^2 - a^10*z^2 + a^2*z^4 + 
   a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 1567] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 1568] -> 1 - 2/a^4 + 3/a^2 - a^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1569] -> 
  2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 1570] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1571] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + z^2/a^10 + (5*z^2)/a^8 - (13*z^2)/a^6 + 
   (10*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 1572] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 1573] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1574] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 + 
   8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[13, NonAlternating, 1575] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, Knot[13, NonAlternating, 1576] -> 
  -8 + 3/a^2 + 8*a^2 - a^4 - a^6 - 19*z^2 + (7*z^2)/a^2 + 13*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 7*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1577] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[13, NonAlternating, 1578] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - (8*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 1579] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1580] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 - z^4/a^6, Knot[13, NonAlternating, 1581] -> 
  2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1582] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + 
   a^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 - 
   (2*z^4)/a^4 - (3*z^4)/a^2, Knot[13, NonAlternating, 1583] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[13, NonAlternating, 1584] -> -a^(-12) + 2/a^10 - 3/a^6 + 2/a^4 + 
   a^(-2) + (3*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 1585] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 5*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 - a^2*z^4, 
 Knot[13, NonAlternating, 1586] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 1587] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2/a^10 + z^2/a^8 - (6*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - z^4/a^4, 
 Knot[13, NonAlternating, 1588] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 1589] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   2*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^4 + z^4/a^2, 
 Knot[13, NonAlternating, 1590] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   11*a^6*z^2 - 8*a^8*z^2 + 9*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 9*a^8*z^4 + 
   8*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 5*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 1591] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   (3*z^2)/a^12 + (18*z^2)/a^10 - (28*z^2)/a^8 + (20*z^2)/a^6 - z^4/a^12 + 
   (20*z^4)/a^10 - (42*z^4)/a^8 + (21*z^4)/a^6 + (8*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 1592] -> a^4 + a^8 - a^12 + 4*a^4*z^2 + a^6*z^2 + 
   a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + 
   2*a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 1593] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (9*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1594] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 + a^4*z^4 + 3*a^6*z^4 - 4*a^8*z^4 + 2*a^10*z^4 - 
   a^8*z^6, Knot[13, NonAlternating, 1595] -> -2/a^12 + 5/a^10 - 6/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (6*z^4)/a^10 - (12*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1596] -> a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 + 2*a^10*z^2 - a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 1597] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (4*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 1598] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^6 + (4*z^2)/a^2 + z^4/a^4 + 
   (2*z^4)/a^2, Knot[13, NonAlternating, 1599] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 - a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 1600] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 3*z^2 + (5*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1601] -> 
  3 - 4*a^2 + 2*a^4 + 9*z^2 - z^2/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   2*a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 1602] -> 
  a^4 + a^6 - a^10 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 
   a^2*z^4 - a^4*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 1603] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 1604] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 10*a^2*z^2 + 8*a^4*z^2 + 3*z^4 - 
   11*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1605] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1606] -> 
  2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 1607] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^2 + a^2*z^4, 
 Knot[13, NonAlternating, 1608] -> 2 - a^2 - a^4 + a^6 + 7*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 10*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[13, NonAlternating, 1609] -> 
  3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^2 - a^4*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 1610] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1611] -> 2/a^6 - 5/a^4 + 4/a^2 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1612] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 - z^4/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 + z^6/a^2, Knot[13, NonAlternating, 1613] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 1614] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4, 
 Knot[13, NonAlternating, 1615] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 
   13*z^2 - z^2/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 
   12*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1616] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 5*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   a^2*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2, Knot[13, NonAlternating, 1617] -> 
  1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 2*z^2 - 5*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 1618] -> -1 + 3*a^2 - a^6 - 8*z^2 + (3*z^2)/a^2 + 
   8*a^2*z^2 + a^4*z^2 - a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 + 
   a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1619] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - 
   (7*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 6*z^4 - (5*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1620] -> -a^(-4) + 2/a^2 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1621] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 1622] -> 
  2*a^4 - 3*a^6 + 6*a^8 - 5*a^10 + a^12 + 5*a^4*z^2 - 6*a^6*z^2 + 
   12*a^8*z^2 - 5*a^10*z^2 + 4*a^4*z^4 - 8*a^6*z^4 + 9*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 1623] -> 3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 11*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1624] -> 6 + 3/a^4 - 7/a^2 - a^2 + 10*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (14*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^4 - 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1625] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6, Knot[13, NonAlternating, 1626] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2 + a^4*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 1627] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   4*z^4 + z^4/a^4 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1628] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1629] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 1630] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 1631] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 1632] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 1633] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 1634] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 1635] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 9*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 8*z^4 - z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 1636] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + (3*z^2)/a^10 + (2*z^2)/a^8 - 
   (12*z^2)/a^6 + (10*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (15*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1637] -> -2/a^10 + 2/a^8 + a^(-4) - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 1638] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1639] -> 4 - 2/a^2 - a^4 + 4*z^2 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + z^4 - z^4/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1640] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1641] -> 
  2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 1642] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + (5*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 1643] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^14 - (15*z^2)/a^12 + (16*z^2)/a^10 + (9*z^2)/a^8 - (10*z^4)/a^12 + 
   (23*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 1644] -> 
  4 - 2/a^2 - a^4 + z^2 + 3*a^2*z^2 - a^4*z^2 - 6*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1645] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 1646] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - 
   z^4 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 1647] -> 
  a^2 + a^6 - a^8 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^4*z^4 + a^6*z^4, 
 Knot[13, NonAlternating, 1648] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 
   3/a^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 - 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1649] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + 
   a^(-6) - (7*z^2)/a^12 + (8*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^4)/a^12 + (8*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 1650] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 5*z^4 + z^4/a^4 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1651] -> 7 - 4/a^2 - 2*a^4 + 14*z^2 - z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 10*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + a^2*z^6, Knot[13, NonAlternating, 1652] -> 
  6*a^4 - 9*a^6 + 5*a^8 - a^10 - 2*a^2*z^2 + 14*a^4*z^2 - 18*a^6*z^2 + 
   7*a^8*z^2 - 3*a^2*z^4 + 11*a^4*z^4 - 13*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 1653] -> 
  3 - 2/a^8 + 4/a^6 - 4/a^2 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[13, NonAlternating, 1654] -> 
  3*a^2 - 3*a^4 - a^6 + 4*a^8 - 2*a^10 + 5*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 
   7*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 
   2*a^4*z^6 - 2*a^6*z^6, Knot[13, NonAlternating, 1655] -> 
  -2/a^12 + 6/a^10 - 6/a^8 + 3/a^4 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (11*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (7*z^4)/a^10 - (11*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1656] -> 
  3 - 2/a^2 + a^2 - a^6 + 5*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 + 3*z^4 + 
   3*a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 1657] -> 
  2*a^2 - 2*a^6 + a^8 - z^2 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   z^4 + 2*a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 1658] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^2, Knot[13, NonAlternating, 1659] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 15*z^2 - (7*z^2)/a^2 - 3*a^4*z^2 + 10*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1660] -> 6*a^4 - 8*a^6 + 3*a^8 - a^2*z^2 + 
   12*a^4*z^2 - 17*a^6*z^2 + 6*a^8*z^2 - 3*a^2*z^4 + 10*a^4*z^4 - 
   13*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 1661] -> 3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 
   4*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1662] -> 3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 + 
   6*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 
   7*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 2*a^4*z^6 - 2*a^6*z^6, 
 Knot[13, NonAlternating, 1663] -> -2/a^12 + 5/a^10 - 4/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (10*z^2)/a^10 - (11*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (12*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1664] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + 3*a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 1665] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 + 2*a^2*z^2 - 
   5*a^6*z^2 + 2*a^8*z^2 - z^4 + a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 1666] -> 1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + 
   a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2, 
 Knot[13, NonAlternating, 1667] -> 1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4, 
 Knot[13, NonAlternating, 1668] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + (4*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 1669] -> 
  6*a^4 - 7*a^6 + a^8 + a^10 + 10*a^4*z^2 - 13*a^6*z^2 - a^8*z^2 + 
   3*a^10*z^2 + 3*a^4*z^4 - 9*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^6*z^6 - 
   a^8*z^6, Knot[13, NonAlternating, 1670] -> 9 - 4/a^2 - 4*a^2 + 19*z^2 + 
   z^2/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + 14*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1671] -> -5 + 3/a^2 + a^2 + 4*a^4 - 2*a^6 - 
   10*z^2 + (4*z^2)/a^2 - a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + z^4/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 1672] -> 2*a^2 + a^4 - 3*a^6 + a^10 + 3*a^2*z^2 - 
   a^4*z^2 - 5*a^6*z^2 + a^10*z^2 - 2*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 1673] -> 4 - 2/a^2 - a^4 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 1674] -> 
  -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 1675] -> 4*a^2 - 4*a^4 + a^6 - a^8 + a^10 + 
   4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 - a^8*z^4 - a^4*z^6, Knot[13, NonAlternating, 1676] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 1677] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 1678] -> 
  2 - a^2 - a^8 + a^10 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 - a^8*z^2 - a^2*z^4 - 
   a^4*z^4, Knot[13, NonAlternating, 1679] -> 1 - a^2 + 2*a^4 - a^6 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^2 - a^2*z^4, 
 Knot[13, NonAlternating, 1680] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[13, NonAlternating, 1681] -> 2*a^4 - 3*a^6 + 6*a^8 - 5*a^10 + a^12 + 
   5*a^4*z^2 - 8*a^6*z^2 + 16*a^8*z^2 - 7*a^10*z^2 + 4*a^4*z^4 - 9*a^6*z^4 + 
   13*a^8*z^4 - 2*a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 1682] -> a^2 - a^4 + 2*a^6 - a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 
   3*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 1683] -> 
  3 - 2/a^8 + 4/a^6 - 4/a^2 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[13, NonAlternating, 1684] -> 
  3*a^2 - 3*a^4 - a^6 + 4*a^8 - 2*a^10 + 5*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 
   7*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 
   2*a^4*z^6 - 2*a^6*z^6, Knot[13, NonAlternating, 1685] -> 
  -2/a^12 + 6/a^10 - 6/a^8 + 3/a^4 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (11*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (7*z^4)/a^10 - (11*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1686] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 + z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 - (5*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 1687] -> 6 - 2/a^2 - 4*a^2 + a^4 + 4*z^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 5*z^6 + 
   z^6/a^2 - z^8, Knot[13, NonAlternating, 1688] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + 
   z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1689] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1690] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - 16*z^4 + (7*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 1691] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 1692] -> -3 + 8*a^2 - 4*a^4 - 6*z^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 2*z^4 + 10*a^2*z^4 - 2*a^4*z^4 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 1693] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1694] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1695] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1696] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (15*z^2)/a^8 + (14*z^2)/a^6 + (5*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 1697] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 6*z^2 + 
   17*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 16*a^2*z^4 - 7*a^4*z^4 - 
   z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1698] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 1699] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1700] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 17*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1701] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 1702] -> -3 + 9*a^2 - 6*a^4 + a^6 - 
   5*z^2 + 15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 + 
   2*a^2*z^6, Knot[13, NonAlternating, 1703] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - (2*z^2)/a^12 + (19*z^2)/a^10 - 
   (38*z^2)/a^8 + (24*z^2)/a^6 - z^4/a^12 + (20*z^4)/a^10 - (48*z^4)/a^8 + 
   (22*z^4)/a^6 + (8*z^6)/a^10 - (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 1704] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 1705] -> -a^(-4) + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1706] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (8*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - 
   (11*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1707] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4, Knot[13, NonAlternating, 1708] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 1709] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (15*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1710] -> 
  -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^4, Knot[13, NonAlternating, 1711] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + 
   z^4/a^4 + (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1712] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 
   2/a^4 + a^(-2) + (4*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 1713] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + z^2 + (2*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[13, NonAlternating, 1714] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - z^2/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 + z^4/a^4 + (2*z^4)/a^2, Knot[13, NonAlternating, 1715] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1716] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - (5*z^4)/a^8 + 
   (13*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1717] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (25*z^2)/a^2 - 6*z^4 - (8*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 - z^6/a^4 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1718] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 - (6*z^4)/a^8 + 
   (18*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^8 + (7*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1719] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - (5*z^4)/a^8 + (13*z^4)/a^6 - 
   (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1720] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1721] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1722] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 9*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (25*z^2)/a^2 - 5*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1723] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - z^2/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 
   3*z^4 + 14*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1724] -> 7 - 3/a^2 - 3*a^2 + 7*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 1725] -> -a^(-6) + a^(-4) + a^(-2) - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 1726] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - (5*z^2)/a^6 + (11*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1727] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 1728] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 - z^2/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 1729] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (5*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 1730] -> 
  3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + (2*z^2)/a^14 - (20*z^2)/a^12 + 
   (22*z^2)/a^10 + (7*z^2)/a^8 - (12*z^4)/a^12 + (27*z^4)/a^10 + 
   (11*z^4)/a^8 - (2*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[13, NonAlternating, 1731] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^2, Knot[13, NonAlternating, 1732] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 + (2*z^6)/a^6, 
 Knot[13, NonAlternating, 1733] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[13, NonAlternating, 1734] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 1735] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   4*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 
   6*a^8*z^4 - a^4*z^6 + 7*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 1736] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - z^4 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 1737] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 1738] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[13, NonAlternating, 1739] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 1740] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1741] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + 
   (17*z^4)/a^6 - (33*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1742] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (22*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + 
   (11*z^4)/a^10 - (23*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 1743] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 
   22*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 21*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 1744] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 1745] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 1746] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1747] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 1748] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (9*z^2)/a^4 - 
   (4*z^2)/a^2 - (5*z^4)/a^8 + (8*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1749] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[13, NonAlternating, 1750] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - z^6/a^8, Knot[13, NonAlternating, 1751] -> 
  4 - 2/a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1752] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 1753] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^8 - 
   (7*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 1754] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1755] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[13, NonAlternating, 1756] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 + 11*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 
   z^4 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1757] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[13, NonAlternating, 1758] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[13, NonAlternating, 1759] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 1760] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - z^4/a^6 + (10*z^4)/a^2 - 
   z^6 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1761] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   3*z^4 + (3*z^4)/a^2 + a^2*z^4 - z^6, Knot[13, NonAlternating, 1762] -> 
  3/a^6 - 7/a^4 + 5/a^2 + (6*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1763] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 1764] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 15*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 11*z^4 + (5*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - a^2*z^6, Knot[13, NonAlternating, 1765] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 1766] -> 2 - 3*a^4 + 2*a^6 + z^2 + 2*a^2*z^2 - 
   11*a^4*z^2 + 5*a^6*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1767] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 1768] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (15*z^2)/a^8 + (24*z^2)/a^6 - 
   (6*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + (35*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 1769] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (28*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^8 + (28*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 1770] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1771] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1772] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + 
   (17*z^4)/a^6 - (33*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1773] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (22*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + 
   (11*z^4)/a^10 - (23*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 1774] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 
   22*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 21*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 1775] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 1776] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 1777] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1778] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + 
   (9*z^2)/a^2 - z^4/a^8 + (14*z^4)/a^6 - (31*z^4)/a^4 + (11*z^4)/a^2 + 
   (7*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 1779] -> 
  3/a^10 - 9/a^8 + 7/a^6 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + 
   (16*z^2)/a^6 + (6*z^4)/a^10 - (17*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - 
   (7*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 1780] -> 
  2 - a^(-2) + a^2 - a^4 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1781] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 1782] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 5*a^2*z^2 + 13*a^4*z^2 - 2*a^8*z^2 - 
   5*a^2*z^4 + 15*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + 
   a^4*z^8, Knot[13, NonAlternating, 1783] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 
   10*z^2 + z^2/a^2 + 19*a^2*z^2 - 7*a^4*z^2 - 7*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1784] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 
   12*a^4*z^2 + 39*a^6*z^2 - 21*a^8*z^2 + 2*a^10*z^2 - 15*a^4*z^4 + 
   49*a^6*z^4 - 20*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 30*a^6*z^6 - 8*a^8*z^6 - 
   a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 1785] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 1786] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 1787] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 6*z^2 + 20*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 
   3*z^4 + 15*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1788] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (15*z^2)/a^8 + (24*z^2)/a^6 - 
   (6*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + (35*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 1789] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (28*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^8 + (28*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 1790] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1791] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1792] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (14*z^4)/a^6 - (29*z^4)/a^4 + (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1793] -> 6 - 2/a^2 - 4*a^2 + a^4 + z^2 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 1794] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 1795] -> -2/a^6 + 3/a^4 + z^2/a^10 - (9*z^2)/a^8 + 
   (14*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + (30*z^4)/a^6 - 
   (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 1796] -> 
  7 - 3/a^2 - 3*a^2 + 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1797] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 
   z^2/a^8 + (4*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 1798] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 
   3*z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 1799] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 1800] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1801] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[13, NonAlternating, 1802] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 1803] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 1804] -> 1 - a^(-2) + 2*a^2 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1805] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 + 
   a^4*z^4 + z^6, Knot[13, NonAlternating, 1806] -> 
  -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 4*a^2*z^2 + 6*a^4*z^2 + 14*a^6*z^2 - 
   10*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 13*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 1807] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 1808] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 1809] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - z^2/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - a^2*z^6, Knot[13, NonAlternating, 1810] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 5*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 + z^6, 
 Knot[13, NonAlternating, 1811] -> 3*a^6 - a^8 - a^10 + a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   2*a^10*z^4 - a^8*z^6, Knot[13, NonAlternating, 1812] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1813] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 6*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - 
   6*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1814] -> 4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[13, NonAlternating, 1815] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - z^4 + 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 1816] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + z^6, Knot[13, NonAlternating, 1817] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + 3*z^4 + (2*z^4)/a^2, Knot[13, NonAlternating, 1818] -> 
  a^2 + a^8 - a^10 + a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 1819] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + 5*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 1820] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 1821] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^6 - 
   (5*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 1822] -> 
  -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   z^4 + z^4/a^6 - (4*z^4)/a^4 - z^6/a^4, Knot[13, NonAlternating, 1823] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^6 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1824] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^2 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 1825] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[13, NonAlternating, 1826] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   3*a^10*z^2 - a^12*z^2 + a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - 
   a^8*z^6, Knot[13, NonAlternating, 1827] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   z^2/a^4 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[13, NonAlternating, 1828] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 10*z^2 - z^2/a^4 - z^2/a^2 - 
   9*a^2*z^2 + 2*a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[13, NonAlternating, 1829] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 
   z^4 - 3*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 1830] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + 3*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 1831] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   3*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 1832] -> 
  a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 1833] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1834] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 1835] -> 
  a^2 + a^4 - a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 1836] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + 
   a^2*z^4, Knot[13, NonAlternating, 1837] -> 1 - 2*a^2 + 3*a^4 - a^8 + 
   2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 1838] -> a^4 + 3*a^8 - 4*a^10 + a^12 + 3*a^4*z^2 - 
   2*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 10*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 1839] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 1840] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 1841] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 1842] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + 
   z^2/a^6 - z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1843] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 1844] -> 2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 1845] -> 1 + 3*a^2 - 6*a^4 + 3*a^6 + z^2 + 
   6*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 5*a^6*z^4 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1846] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 
   3*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1847] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 
   z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 1848] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2/a^2 - 
   3*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1849] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^4 - a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 1850] -> a^2 + a^8 - a^10 + 4*a^2*z^2 - 3*a^4*z^2 - 
   a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 
   3*a^8*z^4 - 2*a^4*z^6 - 2*a^6*z^6, Knot[13, NonAlternating, 1851] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 - 
   z^2/a^6 + (7*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 1852] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 
   8*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 10*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1853] -> -2 + a^(-4) + 2*a^2 - 11*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1854] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 3*a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1855] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 1856] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   12*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 1857] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1858] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 2*z^4 + (3*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 1859] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - 
   2*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[13, NonAlternating, 1860] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 1861] -> -a^(-4) + 2/a^2 - z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 1862] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 
   2*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, 
 Knot[13, NonAlternating, 1863] -> a^(-6) - a^(-4) + a^2 - z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   z^6/a^4, Knot[13, NonAlternating, 1864] -> -2 + a^(-4) + 2*a^2 - 7*z^2 + 
   z^2/a^4 + 3*a^2*z^2 - 5*z^4 + a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 1865] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[13, NonAlternating, 1866] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 9*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 + 
   3*a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 1867] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1868] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + z^6, Knot[13, NonAlternating, 1869] -> 
  1 + a^4 - 2*a^6 + a^8 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 1870] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1871] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 4*a^4*z^2 - 
   a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - a^6*z^4 + 
   2*a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 1872] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   z^4 + z^4/a^6 - (4*z^4)/a^4 - z^6/a^4, Knot[13, NonAlternating, 1873] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^2, Knot[13, NonAlternating, 1874] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 1875] -> 2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 - 2*a^2*z^6, Knot[13, NonAlternating, 1876] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 4*a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + 2*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 - a^6*z^6, 
 Knot[13, NonAlternating, 1877] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 1878] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1879] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 1880] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 1881] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 
   5*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 1882] -> 4*a^6 - 3*a^8 - a^2*z^2 + 3*a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 1883] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 - z^4 + 
   a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 1884] -> -5 + 3/a^2 + 3*a^2 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 1885] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 1886] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   4*z^2 + (3*z^2)/a^6 - z^2/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 1887] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[13, NonAlternating, 1888] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + z^4/a^2 - a^2*z^4, Knot[13, NonAlternating, 1889] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 + z^2 + a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 - a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4, 
 Knot[13, NonAlternating, 1890] -> 3 - 3*a^2 + a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[13, NonAlternating, 1891] -> 5*a^4 - 6*a^6 + 2*a^8 - 
   2*a^2*z^2 + 11*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 - 3*a^2*z^4 + 10*a^4*z^4 - 
   8*a^6*z^4 + a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 1892] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 7*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 1893] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 1894] -> 
  a^2 + a^4 - a^6 + 6*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, NonAlternating, 1895] -> 2*a^4 - a^8 - 3*a^2*z^2 + 
   8*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 1896] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   z^4 + 5*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 1897] -> 2*a^2 - a^4 + 4*a^2*z^2 - 4*a^4*z^2 + 
   a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 1898] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (4*z^4)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 1899] -> 1 + 3*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1900] -> 1 + a^2 - a^4 - a^6 + a^8 + a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[13, NonAlternating, 1901] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 
   3*a^2 - 8*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 1902] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 1903] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 
   9*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 1904] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1905] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + (2*z^2)/a^14 - (16*z^2)/a^12 + 
   (14*z^2)/a^10 + (10*z^2)/a^8 - (11*z^4)/a^12 + (22*z^4)/a^10 + 
   (12*z^4)/a^8 - (2*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[13, NonAlternating, 1906] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (23*z^2)/a^4 + (11*z^2)/a^2 - 
   z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 1907] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + (5*z^4)/a^10 - (12*z^4)/a^8 + 
   (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 1908] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 1909] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + (6*z^4)/a^10 - 
   (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 1910] -> 4 - 2/a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1911] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + 16*a^2*z^4 - 7*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1912] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 6*a^2*z^2 + 
   16*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 5*a^2*z^4 + 16*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + a^4*z^8, Knot[13, NonAlternating, 1913] -> 
  -2 + 6*a^2 - 3*a^4 - 4*z^2 - z^2/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + 
   14*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1914] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 1915] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - z^2 - 
   (3*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 - z^4/a^2 + 17*a^2*z^4 - 5*a^4*z^4 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 1916] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (7*z^2)/a^2 + (2*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 1917] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (8*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 1918] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 10*z^4 + (5*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - a^2*z^6, Knot[13, NonAlternating, 1919] -> 
  6 - 3/a^2 - a^2 - a^4 + 9*z^2 - z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1920] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 + (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 1921] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   (6*z^2)/a^12 + (3*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + 
   (6*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 1922] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   3*z^2 - z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 1923] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1924] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 1925] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 6*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 1926] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^6, Knot[13, NonAlternating, 1927] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (3*z^2)/a^12 + z^2/a^10 + 
   (4*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^8 + z^6/a^6, Knot[13, NonAlternating, 1928] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + (2*z^2)/a^14 - (14*z^2)/a^12 + 
   (10*z^2)/a^10 + (12*z^2)/a^8 - (8*z^4)/a^12 + (14*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 1929] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1930] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^6 - (5*z^4)/a^2 - 
   z^6/a^2, Knot[13, NonAlternating, 1931] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 1932] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   7*z^2 - z^2/a^4 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[13, NonAlternating, 1933] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (10*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 1934] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^8 - (7*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 1935] -> 3 - a^(-2) - a^2 + 8*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 7*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1936] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + 
   a^(-6) - (3*z^2)/a^12 - z^2/a^10 + (7*z^2)/a^8 + (5*z^2)/a^6 + z^4/a^10 + 
   (6*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 1937] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^10 + (2*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^10 + 
   (2*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[13, NonAlternating, 1938] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 1939] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 1940] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 1941] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 1942] -> -3 - a^(-6) + 4/a^2 + a^2 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 1943] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 1944] -> -1 - 2/a^4 + 4/a^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 1945] -> -1 + 4*a^2 - 2*a^4 - z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + z^4 + 2*a^2*z^4, Knot[13, NonAlternating, 1946] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[13, NonAlternating, 1947] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^6)/a^6, Knot[13, NonAlternating, 1948] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 1949] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + 
   a^(-6) - (2*z^2)/a^12 - (4*z^2)/a^10 + (10*z^2)/a^8 + (4*z^2)/a^6 - 
   z^4/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 1950] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 1951] -> 2 - a^(-2) + a^4 - a^6 + z^2/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[13, NonAlternating, 1952] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - (5*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 1953] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 1954] -> 
  3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + (2*z^2)/a^14 - (18*z^2)/a^12 + 
   (18*z^2)/a^10 + (9*z^2)/a^8 - (9*z^4)/a^12 + (19*z^4)/a^10 + 
   (14*z^4)/a^8 - z^6/a^12 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 1955] -> a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[13, NonAlternating, 1956] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1957] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[13, NonAlternating, 1958] -> 
  a^2 + a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^2 + a^4*z^4 + z^6, Knot[13, NonAlternating, 1959] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 2*a^2*z^2 + 19*a^6*z^2 - 11*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 15*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 1960] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 1961] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 1962] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 4*a^2*z^2 + 
   12*a^4*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 1963] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (16*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1964] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^4, 
 Knot[13, NonAlternating, 1965] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 - 2*z^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 1966] -> -1 + 4*a^2 - 2*a^4 - z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 1967] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[13, NonAlternating, 1968] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 3*z^2 + 14*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 
   z^4 + 9*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 1969] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 1970] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 3*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (14*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 1971] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 1972] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) - 
   z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 1973] -> -a^(-12) + 8/a^10 - 16/a^8 + 10/a^6 - 
   (2*z^2)/a^12 + (20*z^2)/a^10 - (42*z^2)/a^8 + (25*z^2)/a^6 - z^4/a^12 + 
   (20*z^4)/a^10 - (49*z^4)/a^8 + (22*z^4)/a^6 + (8*z^6)/a^10 - 
   (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 1974] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 17*z^2 + 
   (3*z^2)/a^6 - (25*z^2)/a^4 + (44*z^2)/a^2 - 17*z^4 + z^4/a^6 - 
   (22*z^4)/a^4 + (52*z^4)/a^2 - 7*z^6 - (8*z^6)/a^4 + (31*z^6)/a^2 - z^8 - 
   z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 1975] -> 
  -4 + 10*a^2 - 5*a^4 - 8*z^2 + 21*a^2*z^2 - 8*a^4*z^2 - 5*z^4 + 18*a^2*z^4 - 
   5*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1976] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + 
   (7*z^4)/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 1977] -> 
  a^(-10) - 5/a^6 + 5/a^4 - z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 - 
   (10*z^2)/a^6 + (10*z^2)/a^4 + (6*z^4)/a^10 - (10*z^4)/a^8 - (11*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 1978] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + 
   a^(-2) - 6*z^2 + z^2/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 + (8*z^2)/a^2 - 
   5*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 1979] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 6*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 1980] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 1981] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + 
   z^4/a^10 - (6*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 1982] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 1983] -> a^2 + a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 1984] -> 1 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 10*z^4 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 1985] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 1986] -> 3*a^2 - 5*a^4 + 4*a^6 - a^10 + 5*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   2*a^8*z^4 - 2*a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 1987] -> 
  -2/a^12 + 5/a^10 - 2/a^8 - 5/a^6 + 5/a^4 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (7*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 + (7*z^4)/a^10 - (10*z^4)/a^8 - 
   (11*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 1988] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - z^4 - (3*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[13, NonAlternating, 1989] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[13, NonAlternating, 1990] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 1991] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 1992] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1993] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 - a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 1994] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 1995] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 15*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 + z^4/a^4 + z^4/a^2 + 
   5*a^2*z^4 - 7*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 1996] -> 
  3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 9*a^6*z^2 - 4*a^8*z^2 + 7*a^10*z^2 - 
   3*a^12*z^2 + 8*a^6*z^4 - 5*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 
   4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, Knot[13, NonAlternating, 1997] -> 
  2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 1998] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 9*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - 
   3*a^12*z^2 + 8*a^6*z^4 - 5*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 
   4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, Knot[13, NonAlternating, 1999] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 - z^4 - 5*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 2000] -> 2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 
   5*a^4*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 2001] -> 2*a^6 - a^12 + a^4*z^2 + 7*a^6*z^2 + 
   2*a^10*z^2 - a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - 
   a^8*z^6, Knot[13, NonAlternating, 2002] -> 1 + 2*z^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 2003] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 2004] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 9*z^2 + z^2/a^6 - z^2/a^4 + 
   4*a^2*z^2 - 6*z^4 - z^4/a^4 - z^4/a^2 + a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 2005] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2006] -> 
  2*a^4 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4, Knot[13, NonAlternating, 2007] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   3*a^10*z^2 - a^12*z^2 + a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - 
   a^8*z^6, Knot[13, NonAlternating, 2008] -> 2*a^2 - a^4 - a^6 + 2*a^8 - 
   a^10 + 4*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 
   3*a^4*z^4 - 4*a^6*z^4 - a^8*z^4, Knot[13, NonAlternating, 2009] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 2010] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2011] -> a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 - a^4*z^6, Knot[13, NonAlternating, 2012] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 2013] -> 2*a^2 - a^4 + a^6 - 2*a^8 + 
   a^10 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   a^2*z^4 - 5*a^4*z^4 - a^8*z^4 - a^4*z^6, Knot[13, NonAlternating, 2014] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 - (2*z^4)/a^2 - a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 2015] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[13, NonAlternating, 2016] -> -a^(-16) + 6/a^14 - 12/a^12 + 
   6/a^10 + 2/a^8 + (5*z^2)/a^14 - (24*z^2)/a^12 + (21*z^2)/a^10 + 
   (8*z^2)/a^8 - (14*z^4)/a^12 + (26*z^4)/a^10 + (11*z^4)/a^8 - 
   (2*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 2017] -> -3/a^10 + 3/a^8 + a^(-6) - (3*z^2)/a^12 - 
   z^2/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 - (2*z^4)/a^12 + (4*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 2018] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 - z^2/a^2 - (6*z^4)/a^8 + 
   (14*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2019] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   (2*z^2)/a^14 - (18*z^2)/a^12 + (17*z^2)/a^10 + (9*z^2)/a^8 - 
   (9*z^4)/a^12 + (19*z^4)/a^10 + (14*z^4)/a^8 - z^6/a^12 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 2020] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 - 2*a^2*z^2 + z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 
   z^6 + (3*z^6)/a^2, Knot[13, NonAlternating, 2021] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 2022] -> 
  -1 - 4/a^4 + 7/a^2 - a^2 - 2*z^2 - (7*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 - 
   z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 2023] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - (3*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 2024] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + 16*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   5*z^4 + 16*a^2*z^4 - a^4*z^4 - a^6*z^4 - z^6 + 7*a^2*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2025] -> 4 - a^(-4) - 2*a^2 + 12*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 12*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2026] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 2027] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 2028] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 2029] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2030] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 2031] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   (3*z^2)/a^14 - (21*z^2)/a^12 + (20*z^2)/a^10 + (8*z^2)/a^8 - 
   (13*z^4)/a^12 + (26*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 2032] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 + z^4/a^4 + z^4/a^2 + 
   5*a^2*z^4 - 7*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2033] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 9*z^2 + z^2/a^6 + 4*a^2*z^2 - 6*z^4 - 
   z^4/a^4 - z^4/a^2 + a^2*z^4 - z^6, Knot[13, NonAlternating, 2034] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 6*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 4*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2035] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2036] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 2037] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 6*z^2 - z^2/a^6 + (8*z^2)/a^2 + a^2*z^2 - 
   3*z^4 - z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2038] -> 2/a^10 - 4/a^8 + 3/a^4 - z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (6*z^4)/a^10 - 
   (11*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2039] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^8 + 
   z^2/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 2040] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (4*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^8 - 
   (8*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 2041] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 9*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2042] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 9*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + 
   a^6*z^6, Knot[13, NonAlternating, 2043] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + 
   a^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2044] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 2045] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   13*z^2 + (2*z^2)/a^6 - (18*z^2)/a^4 + (33*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (17*z^4)/a^4 + (40*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 2046] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 2047] -> 
  -3 + 6*a^2 - 2*a^6 - 7*z^2 + 16*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   16*a^2*z^4 - a^4*z^4 - a^6*z^4 - z^6 + 7*a^2*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2048] -> -3/a^8 + 4/a^6 - z^2/a^12 + (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 + (4*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 2049] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (12*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[13, NonAlternating, 2050] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   3*z^2 + 10*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2051] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 7*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 + a^4*z^4 + 
   z^6, Knot[13, NonAlternating, 2052] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2053] -> -2/a^6 + 3/a^4 - z^2/a^8 + (5*z^2)/a^4 - 
   z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 2054] -> a^(-10) - a^(-8) - 3/a^6 + 
   4/a^4 + z^2/a^10 - (7*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 2055] -> 5 - 2/a^2 - 2*a^2 + 11*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 2056] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 6*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2057] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 7*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2058] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 8*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2059] -> -3/a^6 + 5/a^4 - a^(-2) + z^2/a^8 - 
   (6*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^8 - (6*z^4)/a^6 + 
   (11*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 2060] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 2061] -> 3*a^2 - 5*a^4 + 3*a^6 + 2*a^8 - 2*a^10 + 
   6*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 2062] -> -2/a^12 + 5/a^10 - 3/a^8 - 3/a^6 + 4/a^4 - 
   z^2/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 + 
   (6*z^4)/a^10 - (11*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2063] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^6 + z^4/a^4, 
 Knot[13, NonAlternating, 2064] -> 1 - 2*a^4 + 3*a^6 - a^10 + 2*z^2 - 
   a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 - 3*a^4*z^4 - 
   a^6*z^4, Knot[13, NonAlternating, 2065] -> -a^(-12) + 2/a^10 - 3/a^6 + 
   2/a^4 + a^(-2) + (4*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2066] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 
   10*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^2 - z^6, 
 Knot[13, NonAlternating, 2067] -> -2 + a^(-4) + 2*a^2 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^2, Knot[13, NonAlternating, 2068] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 2*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 2069] -> 1 + a^(-2) - 3*a^2 + 3*a^4 - 
   2*a^6 + a^8 - 2*z^2 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - z^4 - 
   a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 2070] -> 
  a^(-2) - a^2 + a^4 - z^2 - a^2*z^2 - z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 2071] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*z^4 + (2*z^4)/a^4 - z^4/a^2 - z^6/a^2, Knot[13, NonAlternating, 2072] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 2073] -> 1 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 2074] -> a^4 + a^6 - a^10 + 3*a^4*z^2 + a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 + 2*a^4*z^4 - a^6*z^4 + 3*a^8*z^4 - a^6*z^6, 
 Knot[13, NonAlternating, 2075] -> -a^(-4) + 2/a^2 + z^2/a^10 - z^2/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 - (4*z^4)/a^4 + z^4/a^2 - 
   z^6/a^4, Knot[13, NonAlternating, 2076] -> 1 + 4*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2077] -> 
  a^2 + a^4 - a^6 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 2078] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[13, NonAlternating, 2079] -> 
  -2 + 2/a^2 + a^2 - a^6 + a^8 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + 3*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2080] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - 
   a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 2081] -> 
  -1 + a^(-4) + a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2082] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 2083] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2084] -> 
  1 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 + 
   a^4*z^4 + z^6, Knot[13, NonAlternating, 2085] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   z^4/a^4 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 2086] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 9*z^2 + (3*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2087] -> 3 - 3*a^2 + a^4 - a^6 + a^8 + 4*z^2 - 
   8*a^2*z^2 - a^6*z^2 + a^8*z^2 + z^4 - 6*a^2*z^4 - a^4*z^4 - a^6*z^4 - 
   a^2*z^6, Knot[13, NonAlternating, 2088] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   6*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + 
   z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2089] -> 3*a^6 - 2*a^8 + a^10 - a^12 + a^4*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - 
   2*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, Knot[13, NonAlternating, 2090] -> 
  3 + 2/a^4 - 4/a^2 + 7*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2091] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (8*z^2)/a^2 + a^2*z^2 - 
   3*z^4 - z^4/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2092] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^4*z^2 + 
   8*a^6*z^2 - 4*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - 
   2*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, Knot[13, NonAlternating, 2093] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 6*z^2 - z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 - a^2*z^4, Knot[13, NonAlternating, 2094] -> 
  1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 - z^2 + z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 - 2*a^2*z^4, Knot[13, NonAlternating, 2095] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*a^10*z^2 + a^4*z^4 - a^8*z^4, Knot[13, NonAlternating, 2096] -> 
  a^(-6) - a^(-4) + a^2 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2097] -> a^(-2) - a^2 + a^4 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + z^4/a^4 + (3*z^4)/a^2, 
 Knot[13, NonAlternating, 2098] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 2099] -> 
  a^2 + a^4 - a^6 + 6*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, NonAlternating, 2100] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - 2*z^4 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 2101] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (25*z^2)/a^4 + (11*z^2)/a^2 - 
   z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 2102] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (10*z^2)/a^10 - (22*z^2)/a^8 + (17*z^2)/a^6 + (6*z^4)/a^10 - 
   (18*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 2103] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 
   5*z^2 + 19*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 13*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2104] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 + z^2/a^6 - 
   (9*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - (6*z^4)/a^4 + (17*z^4)/a^2 - z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2105] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 - (8*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - (8*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 2106] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 + (4*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 2107] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 2108] -> 
  2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + z^2/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 2109] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 2110] -> -4*a^4 + 16*a^6 - 15*a^8 + 
   4*a^10 - 13*a^4*z^2 + 45*a^6*z^2 - 31*a^8*z^2 + 5*a^10*z^2 - 15*a^4*z^4 + 
   51*a^6*z^4 - 25*a^8*z^4 + 2*a^10*z^4 - 7*a^4*z^6 + 30*a^6*z^6 - 
   9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 2111] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2112] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2113] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - (3*z^2)/a^12 - z^2/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 + z^4/a^10 + 
   (6*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 2114] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - 
   (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 2115] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2116] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2117] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^2, Knot[13, NonAlternating, 2118] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 
   2*a^4 + 8*z^2 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 12*z^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2119] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*z^4 - 3*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 2120] -> -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + 
   (2*z^2)/a^10 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^6, Knot[13, NonAlternating, 2121] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 2122] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 
   4/a^2 + 4*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (6*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 2123] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2124] -> 
  2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[13, NonAlternating, 2125] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 3*a^4*z^2 + 19*a^6*z^2 - 12*a^8*z^2 + 
   2*a^10*z^2 - 3*a^4*z^4 + 16*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   6*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 2126] -> 
  5*a^6 - 5*a^8 + a^10 + a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   5*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[13, NonAlternating, 2127] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 8*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 2128] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 2129] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2130] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 + (4*z^2)/a^8 - (14*z^2)/a^6 + 
   (10*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 2131] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^2 + 
   z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2132] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + 
   a^(-4) - (6*z^2)/a^10 + (13*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^10 + (10*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 2133] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + 
   (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 2134] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 3*z^2 - (5*z^2)/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2135] -> 
  -4 - a^(-6) - 3/a^4 + 9/a^2 - 9*z^2 - z^2/a^6 - (6*z^2)/a^4 + 
   (22*z^2)/a^2 - 6*z^4 - z^4/a^6 - (3*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (8*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2136] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 2137] -> 
  3 - a^(-2) - a^2 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - z^4/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2138] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2139] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 18*z^6 + (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[13, NonAlternating, 2140] -> -a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 - z^4 - z^4/a^2 + 16*a^2*z^4 - 
   5*a^4*z^4 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2141] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[13, NonAlternating, 2142] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 
   4/a^2 + 4*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 
   z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2143] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 12*z^2 - z^2/a^4 - (3*z^2)/a^2 - 11*a^2*z^2 + 
   2*a^4*z^2 + 12*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 2144] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + z^2/a^10 - (15*z^2)/a^8 + (29*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4/a^10 - (15*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 2145] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 13*z^2 + (2*z^2)/a^6 - (18*z^2)/a^4 + 
   (34*z^2)/a^2 - 13*z^4 + z^4/a^6 - (17*z^4)/a^4 + (40*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 2146] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 2147] -> -1 + 3*a^2 - a^6 - z^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2148] -> -1 + a^(-4) + a^4 - 3*z^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - a^2*z^4, Knot[13, NonAlternating, 2149] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 + 
   z^4/a^6 - z^4/a^2, Knot[13, NonAlternating, 2150] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - z^4 + z^4/a^4, Knot[13, NonAlternating, 2151] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 - (2*z^4)/a^6, Knot[13, NonAlternating, 2152] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2153] -> 
  -4 + 10*a^2 - 5*a^4 - 7*z^2 - z^2/a^2 + 22*a^2*z^2 - 9*a^4*z^2 - 4*z^4 + 
   19*a^2*z^4 - 5*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2154] -> 2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 2155] -> 1 - 4/a^6 + 8/a^4 - 4/a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (17*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + 
   (12*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2156] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 4*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2157] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2158] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 - z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2159] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2160] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 2161] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   12*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2162] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 + (5*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 2163] -> 4/a^6 - 9/a^4 + 6/a^2 + (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (22*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - 
   (21*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 2164] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 4*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 2165] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   z^2/a^2 - z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 2166] -> -a^(-12) + 4/a^10 - 7/a^8 + 
   4/a^6 + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (15*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2167] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2168] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 2169] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 2170] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + 2*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (12*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^6 + (6*z^4)/a^4 - (12*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2171] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   z^2/a^12 - (2*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - z^4/a^12 + 
   (4*z^4)/a^10 - z^4/a^8 + (7*z^4)/a^6 + (2*z^6)/a^10 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 2172] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[13, NonAlternating, 2173] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2174] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 2175] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 19*z^2 + 
   z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 18*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   7*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2176] -> 
  -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 6*z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 4*z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2177] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[13, NonAlternating, 2178] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 + 5*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 
   2*a^4*z^6 - 2*a^6*z^6, Knot[13, NonAlternating, 2179] -> 
  -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (11*z^2)/a^8 + (7*z^2)/a^4 + (6*z^4)/a^10 - (12*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 2180] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 + 
   (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^2 - z^6, 
 Knot[13, NonAlternating, 2181] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 
   11*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - 
   z^4/a^4 + a^2*z^4 - z^6, Knot[13, NonAlternating, 2182] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^4 - 3*a^2*z^2 + 
   a^4*z^2 - z^4 - a^2*z^4, Knot[13, NonAlternating, 2183] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 + (4*z^2)/a^10 - (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2184] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   5*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2185] -> 
  2*a^4 - a^8 + z^2 - 4*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 
   9*a^4*z^4 - 2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2186] -> 3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, Knot[13, NonAlternating, 2187] -> 
  a^2 + a^6 - a^8 - a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 2188] -> a^2 + a^6 - a^8 - 2*z^2 + 4*a^2*z^2 + 
   2*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2189] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   2*z^2 + z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 2190] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + (4*z^2)/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2191] -> 2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 2192] -> 3/a^14 - 8/a^12 + 3/a^10 + 
   3/a^8 + (2*z^2)/a^14 - (17*z^2)/a^12 + (14*z^2)/a^10 + (10*z^2)/a^8 - 
   (11*z^4)/a^12 + (22*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 2193] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - z^4 + 7*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2194] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 + z^6/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 2195] -> 1 - a^(-8) - a^(-6) + 5/a^4 - 3/a^2 + 
   2*z^2 - z^2/a^8 - z^2/a^6 + (12*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (11*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2196] -> 
  -a^(-8) + 2/a^4 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 2197] -> -a^(-4) + 2/a^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + 
   (7*z^4)/a^2 + (6*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 2198] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2199] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2200] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (12*z^2)/a^8 + (21*z^2)/a^6 - 
   (5*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + (32*z^4)/a^6 - (10*z^4)/a^4 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 2201] -> 
  3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[13, NonAlternating, 2202] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2203] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2204] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (12*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2205] -> -1 + 4*a^2 - 2*a^4 + z^2/a^4 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 2206] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^4 + 4*a^2*z^2 - 11*z^4 + z^4/a^4 + 
   4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2207] -> 
  1 - a^2 + 2*a^4 - a^6 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 2208] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 2209] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - a^6*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 + 
   a^4*z^4, Knot[13, NonAlternating, 2210] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   13*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2211] -> 
  2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 + a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 
   3*a^10*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 2212] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 - z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 2213] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2214] -> 2*a^4 - a^8 + z^2 - 3*a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2215] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (3*z^2)/a^2 + a^2*z^2 - a^6*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 + a^4*z^4 + z^6, Knot[13, NonAlternating, 2216] -> 
  1 + z^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2217] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + z^6, Knot[13, NonAlternating, 2218] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2219] -> 2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 
   7*a^6*z^2 + a^8*z^2 + 5*a^10*z^2 - 4*a^12*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 
   3*a^10*z^4 + a^6*z^6, Knot[13, NonAlternating, 2220] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   a^4*z^6, Knot[13, NonAlternating, 2221] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) + z^2 - (2*z^2)/a^4 - z^2/a^2 - z^4/a^8 + z^4/a^6 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 2222] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 2223] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2224] -> a^2 + a^4 - 2*a^8 + a^10 + a^2*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + 
   a^6*z^6, Knot[13, NonAlternating, 2225] -> 2*a^2 - a^4 - 3*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2226] -> 
  2*a^2 - a^4 - z^2/a^4 + 5*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 2227] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + z^6, Knot[13, NonAlternating, 2228] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 5*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 2229] -> 2*a^4 - a^8 + z^2 - 4*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 2230] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   2*a^4*z^4 + a^6*z^4, Knot[13, NonAlternating, 2231] -> 
  2 - a^(-6) + a^(-4) - a^2 + 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2232] -> a^2 + a^8 - a^10 + z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 2233] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 2*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + z^6, Knot[13, NonAlternating, 2234] -> 
  a^6 + 2*a^8 - 3*a^12 + a^14 + 6*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 - 
   4*a^12*z^2 + 6*a^6*z^4 + 3*a^8*z^4 + 3*a^10*z^4 + a^6*z^6, 
 Knot[13, NonAlternating, 2235] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - a^4*z^6, Knot[13, NonAlternating, 2236] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 - (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2237] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + z^6, Knot[13, NonAlternating, 2238] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^8 + 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 2239] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (14*z^2)/a^2 - 5*z^4 - z^4/a^6 + (16*z^4)/a^2 - 
   z^6 + (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2240] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2241] -> 1 - 2/a^4 + 3/a^2 - a^2 + z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2242] -> a^4 + 2*a^8 - 2*a^10 + 2*a^4*z^2 + 
   4*a^6*z^2 + a^8*z^2 + a^10*z^2 - a^12*z^2 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*a^10*z^4 - a^8*z^6, Knot[13, NonAlternating, 2243] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 10*z^2 + z^2/a^6 + (3*z^2)/a^4 - (13*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (2*z^4)/a^4 - (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2244] -> 
  a^2 + a^4 - a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2245] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 + 2*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 2246] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 - 
   11*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 11*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2247] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2248] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[13, NonAlternating, 2249] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[13, NonAlternating, 2250] -> 
  -1 + 4*a^2 - 2*a^4 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 2251] -> 2*a^2 - 2*a^6 + a^8 + 2*a^2*z^2 - 
   3*a^6*z^2 + a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 2252] -> 4*a^6 - 3*a^8 + a^2*z^2 + 6*a^6*z^2 - 
   a^10*z^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 2253] -> 5*a^4 - 5*a^6 + a^10 + 8*a^4*z^2 - 
   9*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 + 3*a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + 
   a^10*z^4 - 2*a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 2254] -> 
  -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - 6*a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - 
   9*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2255] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   7*z^2 - z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 
   z^6, Knot[13, NonAlternating, 2256] -> 3*a^2 - 4*a^4 + 2*a^6 + a^8 - 
   a^10 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + a^2*z^4 - 
   6*a^4*z^4 - a^4*z^6, Knot[13, NonAlternating, 2257] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2258] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - 2*a^2*z^6, Knot[13, NonAlternating, 2259] -> 
  2*a^2 - a^6 - a^8 + a^10 + 3*a^2*z^2 - 3*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   a^2*z^4 - 4*a^4*z^4 - a^8*z^4 - a^4*z^6, Knot[13, NonAlternating, 2260] -> 
  a^2 + a^6 - a^8 + 2*z^2 - a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 2261] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2262] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 
   3*z^2 - z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^2 + 
   a^2*z^4, Knot[13, NonAlternating, 2263] -> 4 - 2/a^2 - a^4 + 7*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 - a^2*z^4 + 2*a^4*z^4 - 
   a^2*z^6, Knot[13, NonAlternating, 2264] -> -a^2 + 4*a^4 - a^6 - a^8 + 
   z^2 - 3*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 
   a^4*z^6, Knot[13, NonAlternating, 2265] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 
   5*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 
   a^4*z^6, Knot[13, NonAlternating, 2266] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 
   4/a^2 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4/a^6 - 
   (2*z^4)/a^2, Knot[13, NonAlternating, 2267] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + z^4 + z^4/a^2 - a^2*z^4, Knot[13, NonAlternating, 2268] -> 
  1 - a^6 + 2*a^8 - a^10 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 3*a^2*z^4 - 4*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 2269] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2270] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2271] -> 3*a^2 - 2*a^4 - a^8 + a^10 + 4*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - 
   a^8*z^4 - a^4*z^6, Knot[13, NonAlternating, 2272] -> 
  2*a^4 - a^8 + 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + z^4 - 4*a^2*z^4 + 
   a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2273] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 - z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 2274] -> 2 - a^2 - a^6 + a^8 - a^2*z^2 - 
   3*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[13, NonAlternating, 2275] -> 2 - a^(-2) + a^2 - a^4 + z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2276] -> 
  2 + 2/a^4 - 3/a^2 - 2*a^2 + 3*a^4 - a^6 + 4*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 + z^6, Knot[13, NonAlternating, 2277] -> 
  a^(-2) - a^6 + a^8 - 2*z^2 - 2*a^6*z^2 + a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 2278] -> 2*a^2 - a^4 - z^2 + z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - z^4 - z^4/a^2, Knot[13, NonAlternating, 2279] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + z^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2280] -> 2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^6 - (4*z^4)/a^4 - z^6/a^4, 
 Knot[13, NonAlternating, 2281] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 
   5*a^4*z^2 - 6*a^6*z^2 + 12*a^8*z^2 - 4*a^10*z^2 + 4*a^4*z^4 - 8*a^6*z^4 + 
   9*a^8*z^4 - a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 2282] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 4*a^2*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2283] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - z^4 - z^4/a^2 + a^2*z^4, 
 Knot[13, NonAlternating, 2284] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   2*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^4 + z^4/a^2, 
 Knot[13, NonAlternating, 2285] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2286] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - 
   z^2/a^6 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 2287] -> a^4 + a^8 - a^12 + 3*a^4*z^2 + 
   2*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 2*a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 2288] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2289] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (2*z^6)/a^8, 
 Knot[13, NonAlternating, 2290] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 2291] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 2292] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2293] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 + 12*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 2*z^4 + 8*a^2*z^4 - 3*a^4*z^4 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 2294] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2295] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   4*z^2 + z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - z^4 + a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 2296] -> 
  1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + z^4 - a^4*z^4, Knot[13, NonAlternating, 2297] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 - (2*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 - 2*z^4 + 
   14*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2298] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^12 + 
   (5*z^4)/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + (2*z^6)/a^10 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 2299] -> 
  -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 7*z^2 + 16*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   5*z^4 + 16*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - z^6 + 7*a^2*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2300] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 2301] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2302] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - (5*z^4)/a^8 + 
   (13*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 2303] -> -3 + 7*a^2 - 2*a^4 - a^6 - 5*z^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 2*a^4*z^4 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 2304] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[13, NonAlternating, 2305] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 18*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 
   5*z^4 + 17*a^2*z^4 - 6*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2306] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 + (5*z^4)/a^10 - 
   (13*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 2307] -> 2/a^14 - 8/a^12 + 6/a^10 + 
   a^(-8) + (2*z^2)/a^14 - (19*z^2)/a^12 + (22*z^2)/a^10 + (7*z^2)/a^8 - 
   (12*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 2308] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2309] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (2*z^6)/a^8, 
 Knot[13, NonAlternating, 2310] -> -a^(-2) + 5*a^2 - 3*a^4 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2311] -> 6 - 2/a^2 - 4*a^2 + a^4 + 2*z^2 - 
   a^2*z^2 - 4*z^4 + z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2312] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 2313] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 2*z^2 - 
   z^2/a^2 - 4*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2314] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 3*z^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2315] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 2316] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2317] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 2318] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - (6*z^2)/a^12 + (4*z^2)/a^10 + 
   (11*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + (6*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 2319] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[13, NonAlternating, 2320] -> 
  -a^(-8) + 2/a^4 - z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2321] -> 4 - 2/a^2 - a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 2322] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 2323] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 - 4*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - z^4 + 6*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 2324] -> 2 - 2*a^2 + a^4 + z^2 - 2*a^2*z^2 - 
   a^6*z^2 + a^8*z^2 - z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 2325] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   3*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 2*a^2*z^4 + 2*a^4*z^4, 
 Knot[13, NonAlternating, 2326] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[13, NonAlternating, 2327] -> 
  2*a^2 - a^4 - z^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 2328] -> 
  a^(-2) - a^2 + a^4 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^2, 
 Knot[13, NonAlternating, 2329] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2330] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 2331] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 2332] -> 4 - 2/a^2 - a^4 + 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2333] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 5*z^2 + z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 2334] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2335] -> 
  4*a^6 - 3*a^8 + 9*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^12*z^2 + a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^8*z^6, 
 Knot[13, NonAlternating, 2336] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 2337] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2338] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 2339] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 
   5*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2340] -> 
  1 - a^2 + 2*a^4 - a^6 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 6*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[13, NonAlternating, 2341] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + z^2 + a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 
   2*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 2342] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 3*z^2 - 
   5*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 2343] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 - z^6, 
 Knot[13, NonAlternating, 2344] -> a^2 + a^6 - a^8 - z^2 + 3*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - a^4*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[13, NonAlternating, 2345] -> -a^(-12) + 2/a^10 - a^(-8) - 
   2/a^6 + 3/a^4 + (3*z^2)/a^10 + z^2/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 2346] -> 
  a^4 + a^6 - a^10 + 4*a^4*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 - a^6*z^6, Knot[13, NonAlternating, 2347] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 2348] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 
   10*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - z^4 + 8*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2349] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2350] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 2351] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 8*z^4 + z^4/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2352] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[13, NonAlternating, 2353] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4/a^10 - (8*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 2354] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (16*z^2)/a^10 - (30*z^2)/a^8 + (21*z^2)/a^6 - z^4/a^12 + 
   (19*z^4)/a^10 - (43*z^4)/a^8 + (21*z^4)/a^6 + (8*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 2355] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (21*z^2)/a^6 - (31*z^2)/a^4 + (14*z^2)/a^2 - z^4/a^8 + 
   (21*z^4)/a^6 - (46*z^4)/a^4 + (16*z^4)/a^2 + (8*z^6)/a^6 - (30*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 2356] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^12 + 
   (7*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 2357] -> 
  -2 + 6*a^2 - 3*a^4 - 7*z^2 + 17*a^2*z^2 - 7*a^4*z^2 - 5*z^4 + 17*a^2*z^4 - 
   5*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2358] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (6*z^4)/a^10 - (12*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2359] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 2360] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 10*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 2361] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 4*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (13*z^2)/a^4 - z^2/a^2 + 4*z^4 + (6*z^4)/a^6 - (13*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^6 - (6*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 2362] -> -a^(-12) + 3/a^10 - 6/a^8 + 
   5/a^6 - z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^6/a^8, Knot[13, NonAlternating, 2363] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[13, NonAlternating, 2364] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^10 - (20*z^2)/a^8 + 
   (36*z^2)/a^6 - (11*z^2)/a^4 + z^4/a^10 - (20*z^4)/a^8 + (48*z^4)/a^6 - 
   (15*z^4)/a^4 - (8*z^6)/a^8 + (30*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + 
   (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 2365] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (10*z^2)/a^8 + (15*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - (6*z^4)/a^8 + (13*z^4)/a^6 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 2366] -> a^(-10) - 5/a^8 + 6/a^6 - 
   2/a^4 + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 2367] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 9*z^2 + 
   z^2/a^4 + z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 2368] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - z^2/a^10 + (8*z^2)/a^8 - 
   (2*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 + (6*z^4)/a^8 - (9*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[13, NonAlternating, 2369] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 2370] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 2371] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^4 + z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2372] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (2*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^8 - z^4/a^6, 
 Knot[13, NonAlternating, 2373] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^2 + 2*a^2*z^4, 
 Knot[13, NonAlternating, 2374] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (12*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2375] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[13, NonAlternating, 2376] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 - z^4/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6/a^2 - a^2*z^6, Knot[13, NonAlternating, 2377] -> 
  4 + 3/a^4 - 6/a^2 + 10*z^2 + (6*z^2)/a^4 - (17*z^2)/a^2 - 2*a^2*z^2 + 
   10*z^4 + (2*z^4)/a^4 - (13*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 2378] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 13*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 
   2*a^2*z^4 + 9*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 2379] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 + (4*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 2380] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[13, NonAlternating, 2381] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4, Knot[13, NonAlternating, 2382] -> 
  4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 2383] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   z^2 + 8*a^4*z^2 - a^8*z^2 + a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[13, NonAlternating, 2384] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 + 13*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - z^4 + 9*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2385] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 2386] -> 
  -2 + 6*a^2 - 3*a^4 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   12*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[13, NonAlternating, 2387] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2388] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 2389] -> 2 - a^(-2) + a^2 - a^4 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2390] -> 
  3/a^10 - 9/a^8 + 7/a^6 - (2*z^2)/a^12 + (15*z^2)/a^10 - (31*z^2)/a^8 + 
   (21*z^2)/a^6 - z^4/a^12 + (19*z^4)/a^10 - (43*z^4)/a^8 + (21*z^4)/a^6 + 
   (8*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 2391] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 2392] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) + (3*z^2)/a^10 - (22*z^2)/a^8 + (34*z^2)/a^6 - (10*z^2)/a^4 + 
   z^4/a^10 - (21*z^4)/a^8 + (47*z^4)/a^6 - (15*z^4)/a^4 - (8*z^6)/a^8 + 
   (30*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 2393] -> -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + 17*a^2*z^4 - 5*a^4*z^4 - z^6 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2394] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^12 + (6*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 - z^4/a^12 + (7*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^6)/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 2395] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   (6*z^4)/a^8 + (12*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2396] -> 1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2397] -> 
  -a^(-8) + 2/a^4 - z^2/a^12 + (2*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^4 + 
   (2*z^4)/a^10 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 2398] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2399] -> 
  -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 9*a^4*z^2 + 33*a^6*z^2 - 21*a^8*z^2 + 
   3*a^10*z^2 - 8*a^4*z^4 + 32*a^6*z^4 - 14*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, Knot[13, NonAlternating, 2400] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 24*z^2 + (7*z^2)/a^2 + 27*a^2*z^2 - 
   8*a^4*z^2 - 22*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 2401] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 24*z^2 + 
   (7*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 22*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 2402] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   (3*z^2)/a^8 + (19*z^2)/a^6 - (31*z^2)/a^4 + (13*z^2)/a^2 - z^4/a^8 + 
   (14*z^4)/a^6 - (31*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[13, NonAlternating, 2403] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (33*z^2)/a^6 - (9*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + (32*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 2404] -> 2/a^10 - 11/a^8 + 14/a^6 - 4/a^4 + 
   (3*z^2)/a^10 - (28*z^2)/a^8 + (49*z^2)/a^6 - (16*z^2)/a^4 + z^4/a^10 - 
   (23*z^4)/a^8 + (57*z^4)/a^6 - (17*z^4)/a^4 - (8*z^6)/a^8 + (32*z^6)/a^6 - 
   (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 2405] -> -a^(-16) + 6/a^14 - 14/a^12 + 10/a^10 - 
   z^2/a^16 + (11*z^2)/a^14 - (41*z^2)/a^12 + (43*z^2)/a^10 + (4*z^4)/a^14 - 
   (35*z^4)/a^12 + (59*z^4)/a^10 - (11*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[13, NonAlternating, 2406] -> 
  -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 16*a^4*z^2 + 49*a^6*z^2 - 28*a^8*z^2 + 
   3*a^10*z^2 - 17*a^4*z^4 + 57*a^6*z^4 - 23*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 
   32*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 2407] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   z^2/a^10 - (13*z^2)/a^8 + (20*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 
   (6*z^4)/a^8 + (15*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2408] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 11*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[13, NonAlternating, 2409] -> -a^(-16) + 6/a^14 - 13/a^12 + 8/a^10 + 
   a^(-8) + (4*z^2)/a^14 - (19*z^2)/a^12 + (15*z^2)/a^10 + (11*z^2)/a^8 - 
   (9*z^4)/a^12 + (15*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + (7*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 2410] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + z^2/a^10 - (10*z^2)/a^8 + 
   (16*z^2)/a^6 - z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 2411] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 11*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 2412] -> -3*a^4 + 12*a^6 - 10*a^8 + 2*a^10 - 
   4*a^2*z^2 + 3*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 
   8*a^4*z^4 + 15*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 2413] -> 
  -a^(-8) + 7/a^6 - 12/a^4 + 7/a^2 - z^2/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - 
   (19*z^2)/a^4 + (9*z^2)/a^2 + (3*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, Knot[13, NonAlternating, 2414] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + z^2/a^10 - (10*z^2)/a^8 + 
   (16*z^2)/a^6 - z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 2415] -> -5 + 3/a^2 + a^2 + 4*a^4 - 2*a^6 - 
   15*z^2 + (7*z^2)/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 16*z^4 + 
   (5*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, 
 Knot[13, NonAlternating, 2416] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[13, NonAlternating, 2417] -> 
  2*a^6 - a^12 + 8*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - 3*a^12*z^2 + 8*a^6*z^4 - 
   4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^8*z^8, Knot[13, NonAlternating, 2418] -> a^4 + a^8 - a^12 + 3*a^4*z^2 + 
   2*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 2*a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 2419] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^8 + (3*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - 
   (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 2420] -> 
  3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + 11*a^6*z^2 - 9*a^8*z^2 + 12*a^10*z^2 - 
   4*a^12*z^2 + 9*a^6*z^4 - 9*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 
   5*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, Knot[13, NonAlternating, 2421] -> 
  -2 + 2/a^2 + a^4 - 10*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2422] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 2423] -> 
  a^4 + 2*a^10 - 2*a^12 + 4*a^4*z^2 + a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 2424] -> -1 + a^(-4) + a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2425] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^8 - z^2/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   z^6/a^2, Knot[13, NonAlternating, 2426] -> 2*a^2 - a^4 - 2*z^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + a^8*z^2 - 2*z^4 + 5*a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 2427] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - (2*z^4)/a^6 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2428] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + 
   (6*z^2)/a^10 - (15*z^2)/a^8 + (14*z^2)/a^6 + (5*z^4)/a^10 - (13*z^4)/a^8 + 
   (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 2429] -> -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 
   11*a^4*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2430] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 + (6*z^2)/a^6 - (16*z^2)/a^4 + 
   (12*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 2431] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (11*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + (12*z^4)/a^4 - (11*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2432] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 - (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 2433] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 2434] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[13, NonAlternating, 2435] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - 
   a^2 + z^2 + z^2/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2436] -> -2 + 5*a^2 - a^4 - a^6 - 3*z^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - z^4 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2437] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2438] -> a^2 - a^4 + 3*a^6 - 2*a^8 + a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2439] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 - (7*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2440] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*z^6, Knot[13, NonAlternating, 2441] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   9*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2442] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - (5*z^4)/a^8 + 
   (14*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 2443] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   z^4/a^4 + (2*z^6)/a^6, Knot[13, NonAlternating, 2444] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - z^2/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - a^2*z^6, Knot[13, NonAlternating, 2445] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 + z^2/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 
   16*z^4 + z^4/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2446] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 2*z^4 + 8*a^2*z^4 - 3*a^4*z^4 + 
   2*a^2*z^6, Knot[13, NonAlternating, 2447] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2448] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 + (5*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 2449] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - 
   (10*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - (2*z^6)/a^8, Knot[13, NonAlternating, 2450] -> 
  3/a^6 - 7/a^4 + 5/a^2 + z^2/a^8 + (7*z^2)/a^6 - (20*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^8 + (3*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - 
   (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 2451] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 11*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2452] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + 
   (6*z^2)/a^4 + (6*z^4)/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2453] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 
   a^2*z^2 - 2*a^4*z^2 + 20*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + a^4*z^6 + 3*a^6*z^6, 
 Knot[13, NonAlternating, 2454] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 13*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + z^4/a^4 - 
   z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 2455] -> 2 + a^(-4) - 2/a^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 2456] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + (13*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (3*z^6)/a^6 + z^6/a^4, Knot[13, NonAlternating, 2457] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 + 17*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   2*z^4 + 12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 2458] -> 
  -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 - 2*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (19*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2459] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 2460] -> 2/a^10 - 9/a^8 + 10/a^6 - 
   2/a^4 + z^2/a^10 - (13*z^2)/a^8 + (21*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   (6*z^4)/a^8 + (16*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2461] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 
   2*a^2*z^2 - a^4*z^2 + 21*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 16*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 2462] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2463] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - z^4 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2464] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   4*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2465] -> a^(-8) - 4/a^6 + 4/a^4 - z^2/a^12 + 
   (5*z^2)/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2466] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[13, NonAlternating, 2467] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 2468] -> 
  -a^(-8) + 2/a^4 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^8 - (6*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 2469] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 + z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (10*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^6 + (7*z^4)/a^4 - (11*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2470] -> a^2 - a^4 + 2*a^6 - a^10 + 4*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   2*a^8*z^4 - 2*a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 2471] -> 
  2 + 2/a^4 - 3/a^2 - a^4 + a^6 + z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^4*z^2 + 
   z^4 - z^4/a^2 + a^2*z^4, Knot[13, NonAlternating, 2472] -> 
  -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 3*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + (2*z^4)/a^4 + z^4/a^2, 
 Knot[13, NonAlternating, 2473] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2474] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   9*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - 5*a^6*z^4 + 4*a^8*z^4 - a^4*z^6 - 
   2*a^6*z^6, Knot[13, NonAlternating, 2475] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2476] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2477] -> 
  a^(-2) - a^2 + a^4 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2478] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2479] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 + (7*z^2)/a^6 - (11*z^2)/a^4 + z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[13, NonAlternating, 2480] -> 
  3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 4*z^2 - 9*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + z^4 - 6*a^2*z^4 - a^6*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 2481] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, 
 Knot[13, NonAlternating, 2482] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 + 
   z^2/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 10*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2483] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 2484] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[13, NonAlternating, 2485] -> a^(-2) - a^6 + a^8 - 2*z^2 + z^2/a^2 - 
   2*a^2*z^2 - a^6*z^2 - z^4 - a^2*z^4, Knot[13, NonAlternating, 2486] -> 
  a^4 + a^8 - a^12 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 
   a^6*z^4 - a^8*z^4, Knot[13, NonAlternating, 2487] -> 
  a^(-4) - 2*a^2 + 2*a^4 - 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2488] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^6 + 
   (2*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[13, NonAlternating, 2489] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2490] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + 
   (15*z^4)/a^6 - (31*z^4)/a^4 + (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 2491] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (10*z^2)/a^8 + (17*z^2)/a^6 - (3*z^2)/a^4 - (6*z^4)/a^8 + (17*z^4)/a^6 - 
   (4*z^4)/a^4 - z^6/a^8 + (7*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 2492] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (19*z^2)/a^8 + (16*z^2)/a^6 + (6*z^4)/a^10 - 
   (17*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 2493] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 
   6*z^2 + 19*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 3*z^4 + 15*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 + 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2494] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - 6*z^2 + 
   18*a^2*z^2 - 7*a^4*z^2 - 6*z^4 + z^4/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2495] -> 
  -1 + 7*a^2 - 8*a^4 + 3*a^6 - 2*z^2 + 12*a^2*z^2 - 17*a^4*z^2 + 6*a^6*z^2 - 
   z^4 + 8*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 2496] -> 
  -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 11*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 
   a^4*z^6 + 2*a^6*z^6, Knot[13, NonAlternating, 2497] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 23*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   9*a^2*z^2 - 34*z^4 - z^4/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 2498] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + (6*z^4)/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 2499] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 18*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2500] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 - z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, NonAlternating, 2501] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + (4*z^2)/a^8 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4, Knot[13, NonAlternating, 2502] -> 
  -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - a^2*z^6, Knot[13, NonAlternating, 2503] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - z^4 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2504] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 - 12*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (36*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 2505] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2506] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 4*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - 
   (13*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + (11*z^4)/a^4 - (12*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2507] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 2508] -> 
  1 + z^2 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 4*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 2509] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 2510] -> 
  -5 + 3/a^2 + 3*a^2 - 13*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2511] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 - 12*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 2512] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 12*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + 
   (32*z^2)/a^2 - 13*z^4 + z^4/a^6 - (18*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 2513] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 8*z^2 + 
   26*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 22*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 2514] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (26*z^2)/a^8 + (18*z^2)/a^6 - z^4/a^12 + 
   (11*z^4)/a^10 - (24*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 2515] -> 3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 2516] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2517] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 + 
   2*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2518] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + (3*z^2)/a^10 + z^2/a^8 - (9*z^2)/a^6 + 
   (7*z^2)/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2519] -> 1 - a^6 + 2*a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 3*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 2520] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2521] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 2522] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 - (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   5*z^4 - a^2*z^4 + z^6, Knot[13, NonAlternating, 2523] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 3*z^2 - 9*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 + 
   3*z^4 - 10*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 2524] -> -2 + 2/a^2 + a^4 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 2525] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - z^4 - (3*z^4)/a^4 - (4*z^4)/a^2, 
 Knot[13, NonAlternating, 2526] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 2527] -> 
  a^(-4) - 2*a^2 + 2*a^4 - z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - a^2*z^4, 
 Knot[13, NonAlternating, 2528] -> -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (6*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 2529] -> 3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2530] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6, Knot[13, NonAlternating, 2531] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   2*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 2532] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 2533] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 6*z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   2*z^4 - z^4/a^2, Knot[13, NonAlternating, 2534] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + a^8*z^2 - 2*z^4 + 
   5*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 2535] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^6*z^2 - 
   2*a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 2536] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 - 
   5*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[13, NonAlternating, 2537] -> 
  1 - a^4 + 2*a^6 - a^8 - z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + 3*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2538] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, Knot[13, NonAlternating, 2539] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2540] -> a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + 
   4*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 2541] -> 3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 2542] -> -a^4 + 7*a^6 - 6*a^8 + a^10 + a^2*z^2 - 
   3*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 9*a^6*z^4 - 
   3*a^8*z^4 + 2*a^6*z^6, Knot[13, NonAlternating, 2543] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   5*z^4 + z^4/a^4 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2544] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2545] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (15*z^4)/a^6 - (30*z^4)/a^4 + (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 2546] -> -2 - a^(-2) + 9*a^2 - 5*a^4 - 6*z^2 - 
   z^2/a^2 + 22*a^2*z^2 - 9*a^4*z^2 - 4*z^4 + 19*a^2*z^4 - 5*a^4*z^4 - z^6 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2547] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 24*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   9*a^2*z^2 - 34*z^4 - z^4/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 2548] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - 2*z^2 - 
   (2*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 - 2*z^4 + 15*a^2*z^4 - 4*a^4*z^4 - 
   z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2549] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 7*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 2550] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 
   4/a^2 + (4*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 2551] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 2552] -> 
  6 - 3/a^2 - a^2 - a^4 + 14*z^2 - (6*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   13*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 2553] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 10*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (26*z^2)/a^2 - 12*z^4 + z^4/a^6 - (16*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 2554] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + 3*z^4 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 2555] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (4*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 2556] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   5*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 2557] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 2558] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*z^4 + (6*z^4)/a^6 - (12*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^6 - (6*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 2559] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[13, NonAlternating, 2560] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 + (4*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2561] -> -a^(-12) + 2/a^10 + a^(-8) - 6/a^6 + 
   5/a^4 + (3*z^2)/a^10 + (2*z^2)/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + 
   z^4/a^10 + z^4/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[13, NonAlternating, 2562] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   5*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2563] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2564] -> 2*a^2 - a^4 - z^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2565] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   z^2/a^8 + (13*z^2)/a^6 - (25*z^2)/a^4 + (11*z^2)/a^2 + (7*z^4)/a^6 - 
   (22*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 2566] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 
   4*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2567] -> 2 - a^2 - a^6 + a^8 - a^2*z^2 - 
   3*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[13, NonAlternating, 2568] -> 2 - a^2 - a^6 + a^8 - z^2 + 
   a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - z^4 + 3*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2569] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 3*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + a^10*z^2 + a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - a^8*z^4 - 
   a^4*z^6, Knot[13, NonAlternating, 2570] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   6*z^2 - (2*z^2)/a^6 + (12*z^2)/a^2 - 5*z^4 - z^4/a^6 - z^4/a^4 + 
   (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2571] -> -1 - a^(-6) + 3/a^2 + z^2 - z^2/a^6 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2572] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 + 
   2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 2573] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 11*z^2 + (4*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2574] -> 
  5 - a^(-2) - 4*a^2 + a^6 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 
   7*z^4 - z^4/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 2575] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   3*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2576] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 2577] -> 
  -6 + 3/a^2 + 3*a^2 + 3*a^4 - 2*a^6 - 16*z^2 + (7*z^2)/a^2 + 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 16*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   7*z^6 + z^6/a^2 - z^8, Knot[13, NonAlternating, 2578] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (8*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 2579] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + 
   a^8 - 3*z^2 + 5*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 2580] -> 4*a^4 - 3*a^6 - a^8 + a^10 + 7*a^4*z^2 - 
   5*a^6*z^2 - 4*a^8*z^2 + 3*a^10*z^2 + 2*a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + 
   a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 2581] -> 
  2*a^6 + a^8 - 2*a^10 + 3*a^4*z^2 + 9*a^8*z^2 - 4*a^10*z^2 + 4*a^4*z^4 - 
   6*a^6*z^4 + 9*a^8*z^4 - a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - 
   a^6*z^8, Knot[13, NonAlternating, 2582] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 - a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 2583] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + 2*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 2584] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 2585] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 2*z^2 + a^2*z^2 - 2*a^6*z^2 + 
   a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 2586] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 3*z^2 + (5*z^2)/a^8 - (5*z^2)/a^6 - 
   (3*z^2)/a^2 + z^4 + z^4/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2587] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 + (2*z^2)/a^10 - (4*z^2)/a^6 + (6*z^2)/a^4 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^6, Knot[13, NonAlternating, 2588] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 + a^2*z^2 + 3*z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + z^6 + 
   z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2589] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 5*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (11*z^2)/a^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (12*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2590] -> 
  1 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 2591] -> 
  1 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - z^4/a^2 - 
   10*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2592] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2593] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 2*z^2 + (2*z^2)/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 2594] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - z^2/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 
   3*z^4 + 14*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2595] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^8 - (5*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^8 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 2596] -> 
  -a^2 + 5*a^4 - 3*a^6 - 3*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 
   2*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 2597] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 2598] -> 3 - a^(-2) - a^2 + 8*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2599] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + z^4/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2600] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 - (6*z^6)/a^4 - z^8/a^4, Knot[13, NonAlternating, 2601] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 2602] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 9*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 2603] -> 3 - a^(-4) + a^(-2) - 3*a^2 + 
   a^4 + 6*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2604] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 2605] -> -4 - 5/a^4 + 10/a^2 - 8*z^2 - 
   (8*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 - z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2606] -> 
  -a^(-10) + a^(-8) + a^(-2) - z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 2607] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 2608] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - z^2/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (15*z^2)/a^6 + (10*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 2609] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^8 + (3*z^2)/a^4 + z^4/a^8 - (4*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2610] -> -2 + a^(-2) + 3*a^2 - a^4 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2611] -> -5 + 3/a^2 + 2*a^2 + a^4 + a^6 - a^8 - 
   9*z^2 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 - 
   a^2*z^4 - a^4*z^4 - z^6, Knot[13, NonAlternating, 2612] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 - 8*a^2*z^2 + a^4*z^2 + 
   7*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2613] -> 3*a^2 - 5*a^4 + 4*a^6 - a^10 + 5*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 2614] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 5*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^2 + 
   2*a^2*z^4, Knot[13, NonAlternating, 2615] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2616] -> 2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2617] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 8*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - 10*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 2618] -> 1 + a^2 - 2*a^4 + a^6 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   a^4*z^6, Knot[13, NonAlternating, 2619] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[13, NonAlternating, 2620] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 2621] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2622] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 2623] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 - 
   (4*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2624] -> 5 - 2/a^2 - 2*a^2 + 5*z^2 - (2*z^2)/a^2 - 
   a^4*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2625] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[13, NonAlternating, 2626] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 2627] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2628] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2629] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 2630] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - z^4 - 3*a^2*z^4 - a^4*z^4, Knot[13, NonAlternating, 2631] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + (2*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2632] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[13, NonAlternating, 2633] -> 
  3 - 3*a^2 + a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   4*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2634] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 + z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 2635] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2636] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 2637] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   2*z^2 + 6*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 2638] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 7*z^2 + z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   2*z^4 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 2639] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - 5*z^2 - z^2/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 
   4*z^4 + 18*a^2*z^4 - 5*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2640] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2641] -> 
  7 - 3/a^2 - 3*a^2 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2642] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 
   4*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2643] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 2644] -> -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + 
   (3*z^2)/a^10 + (2*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - z^4/a^8 - (10*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 2645] -> -5 + 3/a^2 + 3*a^2 - a^4 + 
   2*a^6 - a^8 - 9*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   6*z^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 - z^6, 
 Knot[13, NonAlternating, 2646] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 + 
   z^2 - z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2647] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 + 
   3*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2648] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2649] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 
   2/a^2 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 2650] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   6*z^4 - z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2651] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   8*z^2 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6, Knot[13, NonAlternating, 2652] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 2653] -> -1 + a^(-2) + a^2 - 2*z^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2654] -> 1 - a^4 + a^6 + a^8 - a^10 + z^2 - 
   a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 2655] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 2656] -> 
  1 - 5*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 10*z^4 + z^4/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2657] -> 
  -a^(-8) + 8/a^6 - 14/a^4 + 8/a^2 - (3*z^2)/a^8 + (26*z^2)/a^6 - 
   (47*z^2)/a^4 + (20*z^2)/a^2 - z^4/a^8 + (23*z^4)/a^6 - (56*z^4)/a^4 + 
   (18*z^4)/a^2 + (8*z^6)/a^6 - (32*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^6 - 
   (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 2658] -> 
  1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 2*a^2*z^2 - a^6*z^2 + 3*a^8*z^2 - 
   3*a^2*z^4 - 3*a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 2659] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2660] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^6 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2661] -> 2 + a^(-4) - 2/a^2 - z^2 - z^2/a^4 + 
   z^2/a^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2662] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 - (6*z^2)/a^4 + (10*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 2663] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - z^4/a^6 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2664] -> 3 - 5*a^2 + 4*a^4 - a^6 + 3*z^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[13, NonAlternating, 2665] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 - z^2/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + 
   z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2666] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 2667] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 2668] -> -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 2669] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 2670] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   2*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2671] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 2672] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2673] -> -a^(-8) + 7/a^6 - 12/a^4 + 7/a^2 - 
   (2*z^2)/a^8 + (18*z^2)/a^6 - (33*z^2)/a^4 + (14*z^2)/a^2 - z^4/a^8 + 
   (17*z^4)/a^6 - (40*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 2674] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (2*z^2)/a^10 - (18*z^2)/a^8 + (31*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (29*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 2675] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 2676] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 2677] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 2678] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   (2*z^4)/a^8 - (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 2679] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[13, NonAlternating, 2680] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 3*z^2 - z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2681] -> 2*a^4 - a^6 + a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 - 
   a^6*z^4 - a^2*z^6, Knot[13, NonAlternating, 2682] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - 2*z^4 + a^2*z^4 - 4*a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2683] -> -1 + a^(-2) + a^2 - 3*z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 2684] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 2685] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^6*z^6, Knot[13, NonAlternating, 2686] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 11*z^2 - (5*z^2)/a^2 - 10*a^2*z^2 + 
   2*a^4*z^2 + 11*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 2687] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2688] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 12*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2689] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + 3*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 2690] -> 2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 
   5*a^4*z^2 + 2*z^4 - 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 2691] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^12 - z^2/a^10 + 
   (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 2692] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^4 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 2693] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2694] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2695] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + z^6, Knot[13, NonAlternating, 2696] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 + z^4/a^4 - 
   z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2697] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - a^12*z^2 + 
   2*a^4*z^4 + a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 2698] -> 3*a^4 - 2*a^6 + 2*a^2*z^2 + a^4*z^2 - 
   a^8*z^2 + a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 2699] -> 5*a^4 - 7*a^6 + 4*a^8 - a^10 - a^2*z^2 + 
   10*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 9*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 2700] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 + 
   (3*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 10*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   5*a^4*z^4 - 2*z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2701] -> -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 
   6*z^2 + z^2/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 3*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 2702] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[13, NonAlternating, 2703] -> -1 + a^(-4) - a^(-2) + 2*a^2 + 
   a^4 - a^6 - z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + 
   2*a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 2704] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 - (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 7*z^4 - z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2705] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, Knot[13, NonAlternating, 2706] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 
   6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2707] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   7*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2708] -> 4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + 
   (3*z^2)/a^14 - (25*z^2)/a^12 + (27*z^2)/a^10 + (5*z^2)/a^8 - 
   (14*z^4)/a^12 + (31*z^4)/a^10 + (10*z^4)/a^8 - (2*z^6)/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 2709] -> 2/a^14 - 5/a^12 + 4/a^8 - (8*z^2)/a^12 + 
   (4*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - (2*z^4)/a^12 + (7*z^4)/a^10 + 
   (12*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 2710] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   (2*z^2)/a^14 - (20*z^2)/a^12 + (21*z^2)/a^10 + (7*z^2)/a^8 - 
   (12*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 2711] -> 2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + 
   a^(-6) - (9*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - 
   (2*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 2712] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 5*a^2*z^2 - 12*a^4*z^2 + 16*a^6*z^2 - 
   4*a^8*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 2713] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 2714] -> -2/a^12 + 8/a^10 - 13/a^8 + 
   8/a^6 - (3*z^2)/a^12 + (22*z^2)/a^10 - (39*z^2)/a^8 + (24*z^2)/a^6 - 
   z^4/a^12 + (21*z^4)/a^10 - (48*z^4)/a^8 + (22*z^4)/a^6 + (8*z^6)/a^10 - 
   (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 2715] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[13, NonAlternating, 2716] -> 
  3 + a^(-4) - 2/a^2 - 4*a^2 + 5*a^4 - 2*a^6 + 9*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 12*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 10*z^4 - (4*z^4)/a^2 - 
   11*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2717] -> a^4 + 4*a^6 - 6*a^8 + 2*a^10 + a^4*z^2 + 
   10*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 2718] -> -a^(-6) - a^(-4) + 4/a^2 - a^2 + z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2719] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 2720] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 2721] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 - 5*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2722] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 
   4*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 2723] -> -2 - a^(-6) - a^(-4) + 5/a^2 + 
   z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 2724] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + a^8*z^2 - 
   z^4 + 2*a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 2725] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   (2*z^2)/a^12 + (17*z^2)/a^10 - (34*z^2)/a^8 + (22*z^2)/a^6 - z^4/a^12 + 
   (19*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + (8*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 2726] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (12*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (12*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2727] -> 6 + 3/a^4 - 7/a^2 - a^2 + 12*z^2 + 
   (5*z^2)/a^4 - (16*z^2)/a^2 - 3*a^2*z^2 + 11*z^4 + (2*z^4)/a^4 - 
   (12*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2728] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 - z^2/a^6 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2729] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 2730] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2731] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (24*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 2732] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 2733] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2734] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2735] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - z^4 + 
   5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2736] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) + (5*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 2737] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 2738] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2739] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 4*z^2 + (8*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 2740] -> 1 - 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2741] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 2742] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2743] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 3*a^2*z^4 + 5*a^4*z^4 - a^8*z^4 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2744] -> 
  -3 + 8*a^2 - 4*a^4 - 8*z^2 + 20*a^2*z^2 - 8*a^4*z^2 - 5*z^4 + 18*a^2*z^4 - 
   5*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2745] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 7*z^2 + 
   z^2/a^2 + 10*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 7*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 2746] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 2747] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2748] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2749] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2750] -> 
  -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + 
   z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2751] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 7*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2752] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   4*a^4*z^2 + 2*a^6*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 2753] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2754] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   z^4/a^4 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 2755] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2756] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (2*z^2)/a^10 - (20*z^2)/a^8 + (35*z^2)/a^6 - (10*z^2)/a^4 + z^4/a^10 - 
   (17*z^4)/a^8 + (41*z^4)/a^6 - (12*z^4)/a^4 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 2757] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 23*z^2 - 
   (6*z^2)/a^4 + (23*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 2758] -> -a^(-8) + 7/a^6 - 12/a^4 + 
   7/a^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (29*z^2)/a^4 + (12*z^2)/a^2 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 2759] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 + 
   z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2760] -> -1 + 3*a^2 - a^6 - 4*z^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + 10*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 2761] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 2*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 2762] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 - z^4/a^8 + z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 2763] -> 1 + a^(-6) - 2/a^2 + a^2 - 2*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2764] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 2765] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 + z^2/a^2 - 8*a^2*z^2 + 11*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 - 10*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 2766] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   3*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 2767] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 6*z^2 - (3*z^2)/a^4 - z^2/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 2768] -> 4 - 2/a^2 - a^4 + 7*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2769] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + z^2/a^6 + z^2/a^4 - (9*z^2)/a^2 + z^4 - 
   (6*z^4)/a^2 - z^6/a^2, Knot[13, NonAlternating, 2770] -> 
  4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 9*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 2771] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + 
   3*a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 2772] -> 
  2*a^2 - a^4 + 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 - 
   2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 2773] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 2774] -> 1 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2775] -> -1 + a^(-2) + a^2 - 2*z^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2776] -> 1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2777] -> -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2778] -> a^(-4) - a^(-2) + a^2 + z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2779] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 3*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 
   8*a^8*z^2 + a^2*z^4 - 9*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 - 2*a^4*z^6 + 
   7*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 2780] -> 
  1 - a^2 - a^4 + 5*a^6 - 3*a^8 + z^2 - 3*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[13, NonAlternating, 2781] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2782] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 2783] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 2784] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2785] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 2786] -> -a^(-6) + a^(-4) + a^(-2) + 
   z^2 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[13, NonAlternating, 2787] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 + 2*a^2*z^4, Knot[13, NonAlternating, 2788] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 6*z^2 - z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 2789] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2790] -> 6/a^6 - 13/a^4 + 8/a^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (23*z^2)/a^4 + (12*z^2)/a^2 + (6*z^4)/a^8 - (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[13, NonAlternating, 2791] -> 
  a^2 + a^6 - a^8 - a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 2792] -> -a^(-4) + 2/a^2 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   z^6 + (2*z^6)/a^2, Knot[13, NonAlternating, 2793] -> 
  2*a^2 - a^4 - z^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 2794] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2795] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   2*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 2796] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^2 + 
   a^2*z^4, Knot[13, NonAlternating, 2797] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 
   a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 2798] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 2799] -> 1 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 2800] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - 2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   2*a^4*z^4 + a^6*z^4, Knot[13, NonAlternating, 2801] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - 2*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + z^4/a^2 - a^2*z^4, Knot[13, NonAlternating, 2802] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - 
   z^4/a^2 - 2*a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2803] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (26*z^4)/a^6 - (9*z^4)/a^4 - (7*z^6)/a^8 + 
   (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 2804] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2805] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2806] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 2807] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 - 
   11*z^4 + z^4/a^6 - (15*z^4)/a^4 + (30*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 2808] -> -3 + 7*a^2 - 2*a^4 - a^6 - 6*z^2 + 
   17*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 3*z^4 + 14*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 + 4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 2809] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 2810] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 2811] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - 
   (16*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 2812] -> 4 - 2/a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 2813] -> -2/a^6 + 3/a^4 + z^2/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 2814] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 7*a^4*z^2 - 
   6*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + 3*a^4*z^4 - 6*a^6*z^4 - a^8*z^4 + 
   a^10*z^4 - 2*a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 2815] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2816] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 2817] -> -1 + a^(-2) + a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[13, NonAlternating, 2818] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (13*z^2)/a^8 + (20*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4/a^10 - (15*z^4)/a^8 + (31*z^4)/a^6 - (10*z^4)/a^4 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 2819] -> 
  -3/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 - (5*z^4)/a^8 + (6*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2820] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + 
   3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - a^4*z^4 - 3*a^6*z^4 - 
   a^8*z^4, Knot[13, NonAlternating, 2821] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + 
   a^8 + 2*z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 2822] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2823] -> 2 - 2*a^2 + a^4 + z^2 - 2*a^2*z^2 - 
   a^6*z^2 + a^8*z^2 - z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 2824] -> 5*a^4 - 6*a^6 + 2*a^8 + 9*a^4*z^2 - 
   11*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 + 3*a^4*z^4 - 8*a^6*z^4 - 2*a^8*z^4 + 
   a^10*z^4 - 2*a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 2825] -> 
  2*a^2 - 2*a^6 + a^8 + 3*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   a^10*z^2 - 2*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 2826] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 4*a^2*z^2 - 
   5*a^4*z^2 - a^6*z^2 + a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - a^8*z^4 - 
   a^4*z^6, Knot[13, NonAlternating, 2827] -> a^(-2) - a^4 + a^6 - z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6, Knot[13, NonAlternating, 2828] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2829] -> -1 - a^(-6) + 3/a^2 - z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 2830] -> 
  4*a^4 - 4*a^6 + a^8 + 8*a^4*z^2 - 8*a^6*z^2 + 2*a^10*z^2 + 3*a^4*z^4 - 
   7*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 2831] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 2*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + a^10*z^2 - a^4*z^4 - 3*a^6*z^4 - 
   a^8*z^4, Knot[13, NonAlternating, 2832] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - 
   a^10 + 3*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 
   2*a^4*z^4 - 4*a^6*z^4 - a^8*z^4, Knot[13, NonAlternating, 2833] -> 
  5*a^6 - 5*a^8 + a^10 + 10*a^6*z^2 - 5*a^8*z^2 + a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 2834] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2835] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2836] -> -1 + a^(-2) - 2*a^2 + 6*a^4 - 3*a^6 + 
   z^2/a^2 - 8*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 10*a^2*z^4 + 
   8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2837] -> a^2 + a^4 - a^6 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 - (3*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2838] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 2839] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   z^2 - a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2840] -> 6 - 2/a^2 - 4*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^2*z^4 - 2*a^4*z^4 - z^6 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2841] -> 
  1 + 4*z^2 + z^2/a^6 - (4*z^2)/a^2 - a^2*z^2 + 5*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 2842] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[13, NonAlternating, 2843] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 2844] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 2845] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 2846] -> -6 + 3/a^2 + 3*a^2 + 3*a^4 - 2*a^6 - 
   16*z^2 + (7*z^2)/a^2 + 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 16*z^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, 
 Knot[13, NonAlternating, 2847] -> 3*a^4 - 2*a^6 - a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - z^4 + 5*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 2848] -> a^(-14) - a^(-12) - 4/a^10 + 4/a^8 + 
   a^(-6) - (2*z^2)/a^12 - (6*z^2)/a^10 + (12*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 2849] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 2850] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2851] -> 
  a^(-6) - a^(-4) + a^2 - 2*z^2 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 2852] -> 
  1 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 2853] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2854] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 2855] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^2 - 2*a^2*z^2 + 7*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2856] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 - 
   z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - z^4/a^6 + (10*z^4)/a^4 - 
   (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2857] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2858] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 2859] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 2860] -> 2 - a^(-2) + a^2 - a^4 - 
   4*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2861] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2862] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 2863] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   15*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2864] -> 1 - z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 2865] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 2866] -> 
  -a^(-4) + 2/a^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 2867] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 2868] -> 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 11*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 2869] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 
   3*a^8*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 2870] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   4*z^4 + 12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 2871] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   14*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2872] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^6 - (6*z^4)/a^4 - z^6/a^4, 
 Knot[13, NonAlternating, 2873] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^4 + 
   5*a^2*z^2 - a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[13, NonAlternating, 2874] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   9*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2875] -> -4 - 2/a^4 + 6/a^2 + a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 2876] -> 
  1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2877] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2878] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 2879] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 11*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 - 2*a^4*z^4 + 11*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 
   a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 2880] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2881] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^2 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 2882] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[13, NonAlternating, 2883] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 2884] -> -a^2 + 4*a^4 - a^6 - a^8 - 
   6*a^2*z^2 + 15*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 5*a^2*z^4 + 16*a^4*z^4 - 
   a^6*z^4 - a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 2885] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 2886] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 + (3*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 + 
   z^4/a^10 + (2*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 2887] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2888] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 2889] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 2890] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 2891] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 2892] -> 2 + a^(-4) - 2/a^2 - z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2893] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2894] -> 2 + a^(-4) - 2/a^2 + 7*z^2 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2895] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 2896] -> 2*a^6 - a^12 + 10*a^6*z^2 - 5*a^8*z^2 + 
   7*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 8*a^8*z^4 + 8*a^10*z^4 - a^12*z^4 + 
   2*a^6*z^6 - 5*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 2897] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   (3*z^2)/a^12 + (17*z^2)/a^10 - (28*z^2)/a^8 + (20*z^2)/a^6 - z^4/a^12 + 
   (20*z^4)/a^10 - (42*z^4)/a^8 + (21*z^4)/a^6 + (8*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 2898] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - a^8*z^4 + 
   2*a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 2899] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (10*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 2900] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*a^10*z^4 - 
   a^8*z^6, Knot[13, NonAlternating, 2901] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2902] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[13, NonAlternating, 2903] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - (6*z^2)/a^12 + (3*z^2)/a^10 + 
   (11*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + (6*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 2904] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^2 + (3*z^4)/a^8 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 2905] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 2906] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 2907] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (4*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 2908] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 - z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 2909] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 2910] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 2911] -> 
  3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (10*z^2)/a^4 - (12*z^2)/a^2 + z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 - 
   (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 2912] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2913] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 2914] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   2*a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 2915] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 - a^8*z^4, Knot[13, NonAlternating, 2916] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2917] -> -2*a^4 + 11*a^6 - 11*a^8 + 3*a^10 - 
   11*a^4*z^2 + 39*a^6*z^2 - 28*a^8*z^2 + 5*a^10*z^2 - 15*a^4*z^4 + 
   49*a^6*z^4 - 25*a^8*z^4 + 2*a^10*z^4 - 7*a^4*z^6 + 30*a^6*z^6 - 
   9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 2918] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   (4*z^2)/a^12 + (21*z^2)/a^10 - (36*z^2)/a^8 + (22*z^2)/a^6 - 
   (2*z^4)/a^12 + (23*z^4)/a^10 - (45*z^4)/a^8 + (21*z^4)/a^6 + 
   (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 2919] -> 
  3 + 2/a^6 - 2/a^4 - 2/a^2 + 2*z^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 2920] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (4*z^2)/a^12 + (20*z^2)/a^10 - 
   (32*z^2)/a^8 + (21*z^2)/a^6 - (2*z^4)/a^12 + (23*z^4)/a^10 - 
   (44*z^4)/a^8 + (21*z^4)/a^6 + (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 2921] -> 2*a^6 + a^8 - 2*a^10 + 9*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - 2*a^12*z^2 + 8*a^6*z^4 - 5*a^8*z^4 + 6*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 2922] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 
   15*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 5*z^4 + 16*a^2*z^4 - 6*a^4*z^4 - z^6 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2923] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[13, NonAlternating, 2924] -> 
  a^2 + a^4 - a^6 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - 
   5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2925] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 - 3*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 
   z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 2926] -> 
  -1 + a^(-2) + a^2 + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2927] -> -2 - a^(-4) + 3/a^2 + a^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 2928] -> 
  4 - 5*a^2 + a^4 + a^6 + 6*z^2 - z^2/a^2 - 10*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - 7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2929] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 + z^2 - 
   5*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 10*a^4*z^4 - 
   2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2930] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2931] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 
   3*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 - 2*a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 2932] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^4 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^2 - 
   a^2*z^4, Knot[13, NonAlternating, 2933] -> 2*a^2 - a^4 + 3*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + a^10*z^2 - 2*a^4*z^4 - 3*a^6*z^4 - 
   a^8*z^4, Knot[13, NonAlternating, 2934] -> a^(-2) - a^2 + a^4 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^4 + 
   z^4/a^2 - a^2*z^4, Knot[13, NonAlternating, 2935] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 2936] -> 2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[13, NonAlternating, 2937] -> 2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2938] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 - (5*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 2939] -> 4*a^4 - 4*a^6 + a^8 + 8*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 2*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 2940] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + z^4 - z^4/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2941] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 + 
   z^2/a^14 - (11*z^2)/a^12 + (8*z^2)/a^10 + (12*z^2)/a^8 - (9*z^4)/a^12 + 
   (18*z^4)/a^10 + (13*z^4)/a^8 - (2*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 2942] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 2943] -> 
  -2 + 4*a^2 + 2*a^4 - 4*a^6 + a^8 - 6*z^2 + 12*a^2*z^2 + 3*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - 5*z^4 + 14*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   7*a^2*z^6 + a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2944] -> 
  -a^(-12) + 2/a^6 - (4*z^2)/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^4)/a^12 + (6*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 2945] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 2946] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 2947] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - z^6/a^8, Knot[13, NonAlternating, 2948] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 6*z^2 - 12*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 
   2*z^4 - 9*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2949] -> -2*a^2 + 7*a^4 - 4*a^6 + 2*z^2 - 
   9*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 + 3*z^4 - 10*a^2*z^4 + 13*a^4*z^4 - 
   2*a^6*z^4 + z^6 - 5*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 2950] -> 4 + 2/a^6 - 3/a^4 - a^(-2) - a^2 + 7*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, Knot[13, NonAlternating, 2951] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 - 7*z^2 + (3*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 - 
   5*z^4 + z^4/a^2 - a^4*z^4 - z^6, Knot[13, NonAlternating, 2952] -> 
  2*a^4 - a^8 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2953] -> 2 + a^(-8) - a^(-6) - a^(-2) - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 - z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 2954] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 2955] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 2956] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4, 
 Knot[13, NonAlternating, 2957] -> -1 - a^(-6) + 3/a^2 - 6*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (12*z^2)/a^2 - 5*z^4 - z^4/a^6 - z^4/a^4 + 
   (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2958] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (6*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + (5*z^4)/a^10 - 
   (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 2959] -> a^(-14) - 6/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^14 - (16*z^2)/a^12 + (21*z^2)/a^10 + (7*z^2)/a^8 - 
   (11*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 2960] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2961] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) + (3*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 2962] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   (7*z^2)/a^12 + (7*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + 
   (7*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 2963] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2964] -> 2 - a^(-2) + a^2 - a^4 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 2965] -> 
  -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - 3*z^2 - a^2*z^2 - 2*a^6*z^2 + 
   a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 2966] -> 
  4 - 4*a^2 + a^8 + 3*z^2 - 6*a^2*z^2 - 4*a^4*z^2 + a^8*z^2 - 3*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4, Knot[13, NonAlternating, 2967] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + z^2/a^2 + 7*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 2968] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 - a^4*z^2 + 2*z^4 - z^4/a^4 + a^2*z^4, 
 Knot[13, NonAlternating, 2969] -> -1 + 2/a^2 - a^4 + a^8 - 3*z^2 + z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 - a^2*z^4, 
 Knot[13, NonAlternating, 2970] -> a^2 + a^6 - a^8 + z^2/a^2 - a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - z^4 - 2*a^2*z^4 - a^4*z^4, 
 Knot[13, NonAlternating, 2971] -> a^(-8) - a^(-6) + a^2 - z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[13, NonAlternating, 2972] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 4*a^4*z^2 - 
   5*a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 4*a^4*z^4 - 8*a^6*z^4 + 13*a^8*z^4 - 
   2*a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 2973] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - a^4*z^4 + 3*a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 2974] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 + z^2 - 5*a^2*z^2 + 11*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + 
   a^6*z^6, Knot[13, NonAlternating, 2975] -> 4 - 5*a^2 + a^4 + a^6 + 6*z^2 - 
   z^2/a^2 - 12*a^2*z^2 + 3*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 2976] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[13, NonAlternating, 2977] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 2978] -> 2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 
   8*a^6*z^2 + 4*a^10*z^2 - 3*a^12*z^2 + 6*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 + 
   a^6*z^6, Knot[13, NonAlternating, 2979] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   2*z^2 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 2980] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 2981] -> 
  2 - a^(-6) + a^(-4) - a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 2982] -> -3/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 2983] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - 
   z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 2984] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - (3*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 
   z^4 - z^4/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 2985] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 - (4*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 2986] -> 3 - a^(-2) - a^2 + 7*z^2 - z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[13, NonAlternating, 2987] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 + (4*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 2988] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^14 - (14*z^2)/a^12 + (16*z^2)/a^10 + (9*z^2)/a^8 - (10*z^4)/a^12 + 
   (23*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 2989] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + (6*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 2990] -> 6*a^4 - 7*a^6 + a^8 + a^10 + 9*a^4*z^2 - 
   12*a^6*z^2 + 2*a^10*z^2 + 3*a^4*z^4 - 8*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 
   2*a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 2991] -> 
  -3*a^2 + 9*a^4 - 5*a^6 + 2*z^2 - 9*a^2*z^2 + 19*a^4*z^2 - 6*a^6*z^2 + 
   3*z^4 - 10*a^2*z^4 + 13*a^4*z^4 - 2*a^6*z^4 + z^6 - 5*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 2992] -> 
  6 + 2/a^6 - 3/a^4 - 2/a^2 - 2*a^2 + 9*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[13, NonAlternating, 2993] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 2994] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 2995] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - (3*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 - z^4/a^2 + 16*a^2*z^4 - 5*a^4*z^4 + 7*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 2996] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 2997] -> 
  -a^(-4) + 2/a^2 - 10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 2998] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 2999] -> 
  2/a^10 - 7/a^8 + 6/a^6 - (2*z^2)/a^12 + (15*z^2)/a^10 - (30*z^2)/a^8 + 
   (21*z^2)/a^6 - z^4/a^12 + (19*z^4)/a^10 - (43*z^4)/a^8 + (21*z^4)/a^6 + 
   (8*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 3000] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^10 - (20*z^2)/a^8 + 
   (35*z^2)/a^6 - (11*z^2)/a^4 + z^4/a^10 - (20*z^4)/a^8 + (48*z^4)/a^6 - 
   (15*z^4)/a^4 - (8*z^6)/a^8 + (30*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + 
   (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 3001] -> 
  3/a^6 - 7/a^4 + 5/a^2 - (2*z^2)/a^8 + (18*z^2)/a^6 - (33*z^2)/a^4 + 
   (15*z^2)/a^2 - z^4/a^8 + (20*z^4)/a^6 - (47*z^4)/a^4 + (16*z^4)/a^2 + 
   (8*z^6)/a^6 - (30*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 3002] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 13*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + 
   (32*z^2)/a^2 - 16*z^4 + z^4/a^6 - (21*z^4)/a^4 + (46*z^4)/a^2 - 7*z^6 - 
   (8*z^6)/a^4 + (30*z^6)/a^2 - z^8 - z^8/a^4 + (9*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 3003] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - z^4/a^12 + (7*z^4)/a^10 - 
   (9*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 3004] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   6*z^2 + z^2/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3005] -> 
  -3/a^8 + 4/a^6 - z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 3006] -> a^6 + a^8 + a^10 - 2*a^12 + 8*a^6*z^2 + 
   6*a^10*z^2 - 3*a^12*z^2 + 8*a^6*z^4 - 4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + 
   2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 3007] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 
   9*a^6*z^2 - 3*a^8*z^2 + 7*a^10*z^2 - 3*a^12*z^2 + 8*a^6*z^4 - 5*a^8*z^4 + 
   7*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 3008] -> a^6 + 2*a^8 - a^10 - a^12 + 8*a^6*z^2 + 
   5*a^10*z^2 - 3*a^12*z^2 + 8*a^6*z^4 - 4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + 
   2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 3009] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3010] -> a^6 + 2*a^8 - a^10 - a^12 + 3*a^4*z^2 + 
   3*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 2*a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 3011] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - 
   (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3012] -> 
  2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + 10*a^6*z^2 - 6*a^8*z^2 + 11*a^10*z^2 - 
   4*a^12*z^2 + 9*a^6*z^4 - 8*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 
   5*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, Knot[13, NonAlternating, 3013] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 + (4*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3014] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 + z^4 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3015] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - a^8*z^4 + 
   2*a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 3016] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[13, NonAlternating, 3017] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3018] -> -1 + 3*a^2 - a^6 - 5*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 3019] -> 
  a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - (6*z^2)/a^12 + (5*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 - (2*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 3020] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (2*z^4)/a^10 + 
   (12*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 3021] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - z^6/a^8, Knot[13, NonAlternating, 3022] -> 
  a^(-14) - 5/a^12 + 4/a^10 + a^(-6) - (7*z^2)/a^12 + (9*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 - (2*z^4)/a^12 + (8*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 3023] -> -1 - a^(-6) + 3/a^2 - z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 3024] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + 
   (6*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 15*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, Knot[13, NonAlternating, 3025] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 3026] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (6*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 3027] -> -4 + 3/a^2 + a^2 + a^4 - 11*z^2 + 
   (5*z^2)/a^2 + 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - a^2*z^6, Knot[13, NonAlternating, 3028] -> 
  2 - a^2 - a^6 + a^8 + 3*z^2 - 6*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   z^4 - 5*a^2*z^4 - a^6*z^4 - a^2*z^6, Knot[13, NonAlternating, 3029] -> 
  2*a^6 - a^12 + 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 
   a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, 
 Knot[13, NonAlternating, 3030] -> 2*a^6 - a^12 + 3*a^4*z^2 + 3*a^6*z^2 + 
   2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 2*a^10*z^4 - a^6*z^6 - 
   a^8*z^6, Knot[13, NonAlternating, 3031] -> 3 + a^(-6) - 3/a^2 + 8*z^2 + 
   z^2/a^6 + z^2/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^4 - 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3032] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 - 
   z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 3033] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (21*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - (34*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 3034] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (14*z^2)/a^8 + (14*z^2)/a^6 + (5*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 3035] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 4*z^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3036] -> a^(-4) - 2*a^2 + 2*a^4 - z^2/a^4 - 
   5*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 3037] -> a^6 + 3*a^8 - 3*a^10 + 
   6*a^6*z^2 + 5*a^8*z^2 - 2*a^12*z^2 + 7*a^6*z^4 + 5*a^10*z^4 - a^12*z^4 + 
   2*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 3038] -> 3*a^6 - 2*a^8 + a^10 - a^12 + a^4*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - 
   2*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, Knot[13, NonAlternating, 3039] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 5*a^2*z^2 - 12*a^4*z^2 + 16*a^6*z^2 - 
   4*a^8*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 3040] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3041] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 4*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[13, NonAlternating, 3042] -> 3*a^6 - 3*a^8 + 3*a^10 - 
   2*a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*a^10*z^4 - a^8*z^6, 
 Knot[13, NonAlternating, 3043] -> a^(-6) - a^(-4) + a^2 + z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 3044] -> 
  a^(-2) - a^2 + a^4 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3045] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[13, NonAlternating, 3046] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3047] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   z^2/a^6 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3048] -> 2*a^6 + a^8 - 2*a^10 + 3*a^4*z^2 + 
   2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*a^4*z^4 - a^6*z^4 + 3*a^8*z^4 - 
   a^6*z^6, Knot[13, NonAlternating, 3049] -> 3 - 3*a^2 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6, Knot[13, NonAlternating, 3050] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 3051] -> 
  2 - a^(-6) + a^(-4) - a^2 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   3*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3052] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - (2*z^2)/a^8 + (11*z^2)/a^4 - 
   (4*z^2)/a^2 - z^4/a^8 + (12*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 3053] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + (3*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + z^4/a^10 - (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 3054] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - (6*z^2)/a^12 + (2*z^2)/a^10 + 
   (15*z^2)/a^8 - (2*z^4)/a^12 + (3*z^4)/a^10 + (19*z^4)/a^8 + z^6/a^10 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[13, NonAlternating, 3055] -> 
  a^4 + 2*a^6 - 2*a^8 - 3*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 
   4*a^2*z^4 + 11*a^4*z^4 - a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3056] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3057] -> 4 - 2/a^2 - a^4 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 3058] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3059] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 3060] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 
   (6*z^4)/a^8 + (12*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3061] -> a^(-8) + a^(-6) - 6/a^4 + 5/a^2 - 
   z^2/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 + 
   (6*z^4)/a^8 - (9*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 3062] -> -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 3063] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3064] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 3065] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 3066] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3067] -> 1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 - z^6/a^2, Knot[13, NonAlternating, 3068] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 3069] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[13, NonAlternating, 3070] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^8 + z^2/a^6 - (4*z^2)/a^2 + 
   z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 3071] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 3072] -> 
  2*a^2 - a^4 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3073] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[13, NonAlternating, 3074] -> 
  5 - 2/a^2 - 2*a^2 + 7*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   5*z^4 + z^4/a^4 - a^2*z^4 + z^6, Knot[13, NonAlternating, 3075] -> 
  -1 - a^(-6) + 3/a^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3076] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[13, NonAlternating, 3077] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3078] -> 2*a^2 - a^4 - z^2/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[13, NonAlternating, 3079] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + (2*z^2)/a^14 - (18*z^2)/a^12 + 
   (17*z^2)/a^10 + (9*z^2)/a^8 - (11*z^4)/a^12 + (23*z^4)/a^10 + 
   (12*z^4)/a^8 - (2*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[13, NonAlternating, 3080] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3081] -> 4 - 5*a^2 + 2*a^4 - a^6 + a^8 + 3*z^2 - 
   9*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 4*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 3082] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 + (4*z^2)/a^10 - z^2/a^8 - 
   (11*z^2)/a^6 + (10*z^2)/a^4 + z^4/a^10 - (15*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 3083] -> 
  3*a^2 - 4*a^4 + 2*a^6 + a^8 - a^10 + z^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + 3*a^8*z^2 - a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4, 
 Knot[13, NonAlternating, 3084] -> -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - 
   4*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 3085] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   z^2/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3086] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (22*z^2)/a^8 + (40*z^2)/a^6 - (13*z^2)/a^4 + z^4/a^10 - 
   (21*z^4)/a^8 + (52*z^4)/a^6 - (16*z^4)/a^4 - (8*z^6)/a^8 + (31*z^6)/a^6 - 
   (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3087] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^4 - 
   (2*z^4)/a^2, Knot[13, NonAlternating, 3088] -> 
  1 + 2/a^4 - 2/a^2 - a^2 + a^6 - z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 - z^4/a^2, Knot[13, NonAlternating, 3089] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*a^10*z^2 - a^8*z^4, Knot[13, NonAlternating, 3090] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3091] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   z^2/a^4 + 2*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4, 
 Knot[13, NonAlternating, 3092] -> -2 - a^(-4) + 3/a^2 + a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 29*z^4 - z^4/a^4 + (16*z^4)/a^2 + 
   11*a^2*z^4 - 23*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[13, NonAlternating, 3093] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 3094] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) + (4*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[13, NonAlternating, 3095] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 3096] -> 
  4 - 2/a^2 - a^4 + 4*z^2 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 3097] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   (8*z^2)/a^12 + (8*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^12 + 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 3098] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 
   a^2 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + z^6, Knot[13, NonAlternating, 3099] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 3100] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + (2*z^2)/a^10 + z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 3101] -> -2*a^2 + 7*a^4 - 4*a^6 - 4*a^2*z^2 + 
   13*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 3102] -> 
  -5 + 2/a^2 + 5*a^2 - a^6 - 9*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3103] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 3104] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 3105] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 3106] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (15*z^4)/a^6 - (30*z^4)/a^4 + 
   (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 3107] -> 
  -1 + 7*a^2 - 8*a^4 + 3*a^6 - 4*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 6*a^6*z^2 - 
   2*z^4 + 12*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 3108] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + 3*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 3109] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (4*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 3110] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 3111] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + (2*z^2)/a^14 - (18*z^2)/a^12 + 
   (19*z^2)/a^10 + (8*z^2)/a^8 - (12*z^4)/a^12 + (26*z^4)/a^10 + 
   (11*z^4)/a^8 - (2*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[13, NonAlternating, 3112] -> a^(-14) - 4/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) - (6*z^2)/a^12 + (5*z^2)/a^10 + (8*z^2)/a^8 + 
   (3*z^2)/a^6 - (2*z^4)/a^12 + (6*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 3113] -> 
  -2 - 3/a^4 + 6/a^2 + z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^4 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3114] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3115] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (3*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3116] -> -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 3117] -> 
  -1 + 3*a^2 - a^6 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   6*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 3118] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 + z^2/a^8 - z^2/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3119] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   (6*z^4)/a^8 + (12*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3120] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3121] -> 2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 
   5*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 
   6*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 2*a^4*z^6 - 2*a^6*z^6, 
 Knot[13, NonAlternating, 3122] -> a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3123] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 3124] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 
   3*z^2 + (6*z^2)/a^6 - (12*z^2)/a^4 - z^2/a^2 + z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3125] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[13, NonAlternating, 3126] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - 
   a^6 + z^2 + z^2/a^2 - 11*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 
   11*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3127] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^4 - 
   (3*z^4)/a^2, Knot[13, NonAlternating, 3128] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   3*a^8*z^2 - a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4, 
 Knot[13, NonAlternating, 3129] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + (4*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 3130] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3131] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   3*z^2 - z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - z^6, Knot[13, NonAlternating, 3132] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 3133] -> -a^(-12) + a^(-10) - a^(-6) + 
   2/a^4 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 3134] -> a^2 + a^4 - a^6 + 3*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 3135] -> 
  a^2 + a^4 - a^6 - 6*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   10*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[13, NonAlternating, 3136] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 3137] -> a^(-14) - 4/a^12 + a^(-10) + 
   3/a^8 + z^2/a^14 - (13*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 - 
   (10*z^4)/a^12 + (22*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 3138] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   (4*z^2)/a^12 + (2*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - (2*z^4)/a^12 + 
   (5*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 3139] -> -a^(-10) + a^(-8) + a^(-2) - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 + (4*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3140] -> 1 - a^2 + 2*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3141] -> 3 - a^(-2) - a^2 + 9*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 
   5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 3142] -> 
  3 - 2*a^2 - 2*a^4 + 2*a^6 + 3*z^2 - 5*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   z^4 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3143] -> a^6 + 3*a^8 - 3*a^10 + 4*a^4*z^2 - 
   2*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + 4*a^4*z^4 - 7*a^6*z^4 + 9*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 3144] -> 3 - 2*a^2 - a^4 + a^8 + 2*z^2 - 
   4*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + a^8*z^2 - 2*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4, Knot[13, NonAlternating, 3145] -> 2*a^6 + a^8 - 2*a^10 + 
   2*a^2*z^2 + 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 3146] -> 
  2 - a^2 - a^6 + a^8 + z^2 - z^2/a^2 - a^2*z^2 - 2*a^6*z^2 + z^4 + a^2*z^4 + 
   a^4*z^4, Knot[13, NonAlternating, 3147] -> -2/a^6 + 3/a^4 - z^2/a^8 + 
   (5*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 3148] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + z^2/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 3149] -> 
  3 - 3*a^2 + a^6 + 3*z^2 - 6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3150] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 3*a^4*z^2 - 
   a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 10*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 3151] -> 1 + 2*a^2 - 3*a^4 + a^8 - 2*z^2 + 
   5*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 + 5*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 3152] -> a^(-4) - a^2 + a^6 - z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[13, NonAlternating, 3153] -> 2*a^4 - a^8 + z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - z^4 - 2*a^2*z^4 - a^4*z^4, 
 Knot[13, NonAlternating, 3154] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3155] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 3156] -> 
  1 + a^4 - 2*a^6 + a^8 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + z^4 + 
   2*a^2*z^4 + 2*a^4*z^4, Knot[13, NonAlternating, 3157] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + z^4/a^4 + (3*z^4)/a^2, Knot[13, NonAlternating, 3158] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + z^2 - 4*a^2*z^2 - a^6*z^2 - a^2*z^4, 
 Knot[13, NonAlternating, 3159] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[13, NonAlternating, 3160] -> 2*a^2 + a^4 - 3*a^6 + a^10 + 2*a^2*z^2 - 
   4*a^6*z^2 - a^8*z^2 + a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 3161] -> -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 3162] -> 
  1 + 2/a^6 - 3/a^4 + 2*a^2 - a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 + z^4 - z^4/a^4 + a^2*z^4, 
 Knot[13, NonAlternating, 3163] -> 1 + a^2 - a^4 - a^8 + a^10 + z^2 - 
   a^2*z^2 - 2*a^4*z^2 - a^8*z^2 - a^2*z^4 - a^4*z^4, 
 Knot[13, NonAlternating, 3164] -> 3 - a^(-2) - a^2 + z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 3165] -> 
  -1 - a^(-6) + 3/a^2 + 4*z^2 + z^2/a^4 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3166] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (2*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3167] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (12*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3168] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + 
   z^2/a^14 - (7*z^2)/a^12 + z^2/a^10 + (16*z^2)/a^8 - (3*z^4)/a^12 + 
   (2*z^4)/a^10 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 3169] -> a^4 + 2*a^6 - 2*a^8 - 4*a^2*z^2 + 
   9*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 4*a^2*z^4 + 12*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, Knot[13, NonAlternating, 3170] -> 
  -1 + a^(-2) + a^2 + z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 5*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3171] -> -1 + 3*a^2 - a^6 + 4*z^2 - (2*z^2)/a^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 3172] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - (6*z^4)/a^8 + (13*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 3173] -> -1 - 2/a^4 + 4/a^2 - z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[13, NonAlternating, 3174] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 3175] -> 2 - a^(-2) + a^4 - a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 8*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3176] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - z^2 - 
   a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[13, NonAlternating, 3177] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 3178] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 + 
   z^4/a^4 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 3179] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + 
   z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 3180] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 3181] -> -1 + 2/a^6 - 3/a^4 + a^(-2) + 3*a^2 - 
   a^4 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   3*z^4 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 3182] -> 1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3183] -> 2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 3184] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 3185] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^2 - a^2*z^4, Knot[13, NonAlternating, 3186] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3187] -> a^2 + a^6 - a^8 - z^2 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 3188] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + a^2*z^2 - 4*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 3189] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 3190] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 + z^2/a^2 - a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   z^4 - a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 3191] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 
   a^2*z^4 - a^4*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 3192] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 - z^4/a^4, 
 Knot[13, NonAlternating, 3193] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^6*z^2 - 
   2*a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 3194] -> 1 + 4*z^2 - z^2/a^4 - 4*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 3195] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 3196] -> 4*a^4 - 3*a^6 - a^8 + a^10 + 
   6*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + 2*a^4*z^4 - 3*a^6*z^4 - 
   3*a^8*z^4 + a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 3197] -> -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 6*z^2 + 
   13*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + 15*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 - z^6 + 7*a^2*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3198] -> 1 + a^4 - 2*a^6 + a^8 - 2*z^2 + 
   4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + 5*a^2*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 3199] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^12*z^2 + 
   2*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 3200] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 2*a^4*z^2 + 
   5*a^6*z^2 + 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + a^6*z^4 + 2*a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 3201] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - z^2/a^4 - z^4/a^8 + z^4/a^6 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 3202] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 8*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3203] -> 2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 
   5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 
   7*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 3204] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 3205] -> 1 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 3206] -> -3/a^8 + 4/a^6 - (2*z^2)/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^12 + (6*z^4)/a^10 - 
   (6*z^4)/a^8 + (8*z^4)/a^6 + (2*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 3207] -> 3 - a^(-2) - a^2 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 3208] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3209] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3210] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - (11*z^2)/a^12 + (12*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 3211] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[13, NonAlternating, 3212] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 3213] -> 
  -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3214] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (12*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 3215] -> 2*a^2 - a^4 + 3*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3216] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + z^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - a^2*z^4 - 3*a^4*z^4 - 
   a^6*z^4, Knot[13, NonAlternating, 3217] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3218] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3219] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3220] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   8*z^2 - z^2/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[13, NonAlternating, 3221] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3222] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 3223] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3224] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 3225] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 3226] -> 
  4*a^4 - 4*a^6 + a^8 + a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + a^10*z^2 - 
   2*a^6*z^4 - a^8*z^4, Knot[13, NonAlternating, 3227] -> 
  3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 2*z^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 3228] -> a^4 + 3*a^6 - 4*a^8 + a^10 + a^2*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 + 
   a^6*z^6, Knot[13, NonAlternating, 3229] -> 1 + a^(-4) - a^(-2) - a^4 + 
   a^6 + 2*z^2 - z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^2 + 
   2*a^2*z^4, Knot[13, NonAlternating, 3230] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - 3*z^2 - z^2/a^4 + 2*a^2*z^2 - 3*a^4*z^2 - 
   z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6, Knot[13, NonAlternating, 3231] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 2/a^4 + a^(-2) + (4*z^2)/a^10 - 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 3232] -> a^(-4) - 2*a^2 + 2*a^4 + 
   3*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   z^6, Knot[13, NonAlternating, 3233] -> -1 + a^(-2) + a^2 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 3234] -> 
  2 + a^(-4) - 2/a^2 - 4*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 + z^4/a^4 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3235] -> 3 - a^(-2) - a^2 - z^2 + z^2/a^2 + 
   a^2*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 3236] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 
   z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 + 2*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 3237] -> 1 - a^2 + 3*a^6 - 2*a^8 + 
   z^2/a^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*z^4 - 4*a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 3238] -> 2*a^4 - a^8 + 3*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + a^4*z^4 + a^6*z^4, Knot[13, NonAlternating, 3239] -> 
  4*a^4 - 2*a^6 - 3*a^8 + 2*a^10 + 6*a^4*z^2 - 3*a^6*z^2 - 6*a^8*z^2 + 
   3*a^10*z^2 + 2*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - a^6*z^6 - 
   a^8*z^6, Knot[13, NonAlternating, 3240] -> 1 + a^(-6) - 2/a^2 + a^2 + 
   3*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 5*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3241] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3242] -> a^(-4) - a^(-2) + a^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 3243] -> 
  -2 + a^(-4) + 2*a^2 - 11*z^2 + z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3244] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + z^4 + (5*z^4)/a^6 - (16*z^4)/a^4 + z^6/a^6 - (7*z^6)/a^4 - 
   z^8/a^4, Knot[13, NonAlternating, 3245] -> -1 + a^(-2) + a^2 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3246] -> -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 3247] -> 1 + a^(-6) - 2/a^2 + a^2 + 
   z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + z^4/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3248] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 3249] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 3250] -> a^2 + 3*a^4 - 4*a^6 + a^10 + a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 3251] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3252] -> 
  3 - a^(-2) - a^2 - z^2 + z^2/a^2 + a^2*z^2 - 7*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3253] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 3254] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3255] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3256] -> 
  5*a^8 - 3*a^10 - 2*a^12 + a^14 + 4*a^6*z^2 + 10*a^8*z^2 - 2*a^10*z^2 - 
   3*a^12*z^2 + 5*a^6*z^4 + 7*a^8*z^4 + a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[13, NonAlternating, 3257] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 3258] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   3*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3259] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3260] -> 5*a^6 - 5*a^8 + a^10 + 12*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 - 2*a^4*z^4 + 11*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 
   a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 3261] -> -2/a^6 + 3/a^4 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 - (4*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 3262] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^4 - 4*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3263] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   10*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 3264] -> 
  -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + 20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[13, NonAlternating, 3265] -> 
  -7 + 4/a^2 + 4*a^2 - 18*z^2 + (2*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 
   17*z^4 + z^4/a^4 + z^4/a^2 + 5*a^2*z^4 - 7*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3266] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3267] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (14*z^2)/a^6 - z^4/a^12 + (10*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 3268] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 
   z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 
   (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 3269] -> 1 + a^4 - 2*a^6 + a^8 - 2*z^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 3270] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 3271] -> 
  2/a^6 - 5/a^4 + 4/a^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (26*z^2)/a^4 + 
   (12*z^2)/a^2 - z^4/a^8 + (17*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + 
   (7*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 3272] -> 
  -1 + 4*a^2 - 2*a^4 - 13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[13, NonAlternating, 3273] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (19*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 3274] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 2*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + 9*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - a^4*z^4 - 
   5*a^6*z^4 + 4*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[13, NonAlternating, 3275] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - 
   a^2*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 3276] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^12*z^2 + 
   2*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 3277] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 3278] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[13, NonAlternating, 3279] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 3280] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 3281] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 3282] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3283] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3284] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 3285] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 11*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 8*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, 
 Knot[13, NonAlternating, 3286] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   2*z^2 - z^2/a^4 + 3*a^2*z^2 - 3*a^4*z^2 - z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6, Knot[13, NonAlternating, 3287] -> -2 + 2/a^6 - 3/a^4 + 2/a^2 + 
   2*a^2 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   3*z^4 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 3288] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 3289] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3290] -> 3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[13, NonAlternating, 3291] -> 3*a^4 - 2*a^6 - 3*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 3292] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 9*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 3293] -> 
  3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + (2*z^2)/a^14 - (22*z^2)/a^12 + 
   (26*z^2)/a^10 + (5*z^2)/a^8 - (13*z^4)/a^12 + (31*z^4)/a^10 + 
   (10*z^4)/a^8 - (2*z^6)/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[13, NonAlternating, 3294] -> 6*a^6 - 7*a^8 + 2*a^10 - 
   2*a^4*z^2 + 17*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 3*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - a^4*z^6 + 6*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[13, NonAlternating, 3295] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 
   a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 3296] -> -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3297] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   4*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 3298] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 
   9*z^2 + 20*a^2*z^2 - 8*a^4*z^2 - 5*z^4 + 18*a^2*z^4 - 5*a^4*z^4 - z^6 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3299] -> 
  2*a^2 - a^4 - 2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - z^4 + 
   8*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 3300] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 3301] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 3302] -> 3*a^4 - 2*a^6 - 2*a^2*z^2 + 10*a^4*z^2 - 
   7*a^6*z^2 + 2*a^8*z^2 - 3*a^2*z^4 + 10*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3303] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (14*z^4)/a^8 + 
   (26*z^4)/a^6 - (9*z^4)/a^4 - (7*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3304] -> -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 3305] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3306] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 
   10*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - z^4 + 8*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3307] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3308] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 3309] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3310] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3311] -> a^2 - 4*a^4 + 9*a^6 - 5*a^8 + 3*a^2*z^2 - 
   11*a^4*z^2 + 23*a^6*z^2 - 8*a^8*z^2 + a^2*z^4 - 9*a^4*z^4 + 19*a^6*z^4 - 
   5*a^8*z^4 - 2*a^4*z^6 + 7*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 3312] -> 4*a^6 - 3*a^8 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 3313] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - 10*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   8*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3314] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + 
   a^(-6) - (5*z^2)/a^12 + z^2/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - 
   (2*z^4)/a^12 + (5*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 3315] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 3316] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 3317] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 
   14*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 9*a^4*z^2 - 9*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 5*a^4*z^4 - 2*z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3318] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   5*z^2 + z^2/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 3*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 3319] -> 
  2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 5*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 6*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 
   2*a^4*z^6 - 2*a^6*z^6, Knot[13, NonAlternating, 3320] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 3321] -> a^2 + a^4 - a^6 - z^2/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[13, NonAlternating, 3322] -> a^2 + a^6 - a^8 + 2*a^2*z^2 + a^8*z^2 - 
   z^4 + a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 3323] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[13, NonAlternating, 3324] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3325] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 3326] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 + 8*a^4*z^2 - 8*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 + 
   3*a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 3327] -> 3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - 
   11*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 2*z^4 - 8*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 3328] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3329] -> 5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 
   16*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 3*a^4*z^4 + 15*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 6*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 3330] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 3331] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 3332] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 3333] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 3*z^2 - 8*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 4*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[13, NonAlternating, 3334] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 2*a^2*z^2 + 
   2*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + a^10*z^2 - a^4*z^4 - 3*a^6*z^4 - 
   a^8*z^4, Knot[13, NonAlternating, 3335] -> 2/a^14 - 6/a^12 + 2/a^10 + 
   3/a^8 - (9*z^2)/a^12 + (7*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - 
   (2*z^4)/a^12 + (8*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 3336] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[13, NonAlternating, 3337] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (7*z^2)/a^6 + (3*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 + z^6/a^6, 
 Knot[13, NonAlternating, 3338] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[13, NonAlternating, 3339] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^6 + (3*z^2)/a^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 3340] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^2 - 8*a^2*z^2 + a^4*z^2 + a^6*z^2 + 
   3*z^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3341] -> 2*a^4 - a^8 + 5*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 3342] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3343] -> 
  1 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 3344] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 3345] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   6*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3346] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 3347] -> -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 
   7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 3348] -> 
  4 + a^(-8) - a^(-6) + 2/a^4 - 5/a^2 + 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 + z^4 - z^4/a^6 - (6*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 3349] -> 4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 
   10*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 - 3*a^2*z^4 + 10*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3350] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (4*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^4 + (6*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3351] -> -2/a^6 + 3/a^4 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3352] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3353] -> 
  7 - 3/a^2 - 3*a^2 + 11*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3354] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - 
   (5*z^2)/a^12 - (2*z^2)/a^10 + (16*z^2)/a^8 - (2*z^4)/a^12 + (2*z^4)/a^10 + 
   (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 3355] -> -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + 
   (3*z^2)/a^10 - (8*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3356] -> -4/a^6 + 7/a^4 - 2/a^2 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (14*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^4 - 
   (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3357] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   9*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3358] -> 3 - 3*a^2 + a^6 + 3*z^2 - 8*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 - 9*a^2*z^4 + 3*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 3359] -> 3*a^4 - 2*a^6 - a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 3360] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 7*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 8*z^4 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 3361] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 3362] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 7*z^2 + z^2/a^2 + 9*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 + 7*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 3363] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3364] -> -2/a^6 + 3/a^4 + z^2/a^10 + z^2/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3365] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3366] -> 2 + a^(-4) - 2/a^2 + 6*z^2 - (4*z^2)/a^2 - 
   3*a^2*z^2 + 9*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 3367] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 3368] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + z^2/a^6 + z^2/a^4 - (9*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3369] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 3370] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 + 3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 + a^4*z^4 + a^6*z^4, Knot[13, NonAlternating, 3371] -> 
  -1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) + 2*a^2 - 3*z^2 - z^2/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^2, Knot[13, NonAlternating, 3372] -> 
  2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 3373] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + 
   3*a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 3374] -> 
  a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 + 
   2*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 3375] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (5*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 3376] -> 
  -a^(-8) + 2/a^4 + 2*z^2 - z^2/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3377] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 
   z^4/a^4 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 3378] -> 
  3 - 3*a^2 + a^6 + 3*z^2 - 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + a^8*z^2 - 
   3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, Knot[13, NonAlternating, 3379] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + 8*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 
   a^10*z^2 + 3*a^4*z^4 - 7*a^6*z^4 - a^8*z^4 + a^10*z^4 - 2*a^6*z^6 - 
   a^8*z^6, Knot[13, NonAlternating, 3380] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3381] -> 2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 8*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 3382] -> 
  -a^(-4) + 2/a^2 + z^2/a^2 + 2*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3383] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 3384] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3385] -> 
  -1 + a^(-2) + a^2 - z^2 + 4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 3386] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 3387] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3388] -> a^2 + a^4 - a^6 + 2*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 3389] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 4*z^2 - 
   10*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 11*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3390] -> -6*a^4 + 21*a^6 - 19*a^8 + 5*a^10 - 
   17*a^4*z^2 + 56*a^6*z^2 - 38*a^8*z^2 + 6*a^10*z^2 - 17*a^4*z^4 + 
   59*a^6*z^4 - 28*a^8*z^4 + 2*a^10*z^4 - 7*a^4*z^6 + 32*a^6*z^6 - 
   9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 3391] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3392] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 3393] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 + 16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   16*a^2*z^4 - 6*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3394] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (23*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + (15*z^4)/a^6 - 
   (35*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3395] -> 1 - z^2 - z^2/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 3396] -> -3 + 8*a^2 - 4*a^4 - 5*z^2 - 
   z^2/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 3*z^4 + 15*a^2*z^4 - 4*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3397] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 
   2*z^4 + 11*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 3398] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 3399] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3400] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3401] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   (2*z^2)/a^14 - (18*z^2)/a^12 + (17*z^2)/a^10 + (9*z^2)/a^8 - 
   (11*z^4)/a^12 + (23*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 3402] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3403] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 4*z^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3404] -> 3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + 
   (3*z^2)/a^14 - (23*z^2)/a^12 + (25*z^2)/a^10 + (6*z^2)/a^8 - 
   (14*z^4)/a^12 + (30*z^4)/a^10 + (10*z^4)/a^8 - (2*z^6)/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 3405] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[13, NonAlternating, 3406] -> 
  4/a^10 - 11/a^8 + 8/a^6 - (2*z^2)/a^12 + (16*z^2)/a^10 - (34*z^2)/a^8 + 
   (22*z^2)/a^6 - z^4/a^12 + (19*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + 
   (8*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 3407] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 13*z^2 + (4*z^2)/a^4 - (14*z^2)/a^2 - 4*a^2*z^2 + 
   12*z^4 + (2*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 3408] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3409] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 + 
   z^2/a^14 - (11*z^2)/a^12 + (8*z^2)/a^10 + (12*z^2)/a^8 - (9*z^4)/a^12 + 
   (18*z^4)/a^10 + (13*z^4)/a^8 - (2*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 3410] -> 
  -2 + 4*a^2 + 2*a^4 - 4*a^6 + a^8 - 6*z^2 + 12*a^2*z^2 + 3*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - 5*z^4 + 14*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   7*a^2*z^6 + a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3411] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^2 - 
   (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 3412] -> 3 - 3*a^2 + a^6 + 9*z^2 - (4*z^2)/a^2 - 
   8*a^2*z^2 + 11*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 3413] -> 
  -1 + a^(-4) + a^4 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[13, NonAlternating, 3414] -> 
  1 + a^(-2) - 2*a^2 + a^6 + z^2 - 6*a^2*z^2 + a^4*z^2 + z^4 - 4*a^2*z^4 + 
   a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 3415] -> 
  1 + 3*z^2 + z^2/a^8 - (4*z^2)/a^2 + z^4 - z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   z^6/a^2, Knot[13, NonAlternating, 3416] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   6*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, Knot[13, NonAlternating, 3417] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3418] -> 2*a^4 - a^6 + a^8 - a^10 + 6*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3419] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   z^2/a^4 - 8*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[13, NonAlternating, 3420] -> 
  1 + a^4 - 2*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 3421] -> 
  3 + a^(-6) - 2/a^2 - 3*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 - (6*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, 
 Knot[13, NonAlternating, 3422] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 7*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3423] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - 
   z^2/a^4 - z^2/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 8*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3424] -> a^(-4) - a^(-2) + a^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 3425] -> 
  3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 3426] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 
   4*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 3427] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3428] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2 - 
   (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3429] -> -3/a^4 + 5/a^2 - a^2 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 - (4*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 3430] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - (5*z^2)/a^6 + (11*z^2)/a^4 - 
   (3*z^2)/a^2 - (3*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 3431] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 3432] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + z^2/a^12 - (10*z^2)/a^10 + 
   (14*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 3433] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - z^2 + z^2/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^2, Knot[13, NonAlternating, 3434] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 3435] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 7*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3436] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3437] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   12*z^2 - z^2/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   11*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3438] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 12*a^4*z^2 - 
   11*a^6*z^2 + 5*a^8*z^2 + z^4 - 7*a^2*z^4 + 10*a^4*z^4 - 9*a^6*z^4 + 
   a^8*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3439] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   11*z^2 - z^2/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   11*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3440] -> 
  2 + a^(-4) - a^(-2) - 4*a^2 + 4*a^4 - a^6 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3441] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + z^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 - 
   5*a^6*z^4 + 2*a^4*z^6, Knot[13, NonAlternating, 3442] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - 
   6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3443] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + a^10*z^2 + a^2*z^4 - 4*a^4*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 3444] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 3445] -> 
  1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[13, NonAlternating, 3446] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 3447] -> 2*a^4 - a^8 + 4*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 3448] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2 - z^2/a^4 - 5*a^2*z^2 + a^4*z^2 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3449] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 
   10*z^2 - z^2/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   11*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3450] -> 
  1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 - 6*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + z^4 - 3*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 3451] -> 3 + a^(-6) - 2/a^2 - 3*a^2 + 2*a^4 + 
   5*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   2*a^2*z^4 + z^6, Knot[13, NonAlternating, 3452] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 4*z^2 - z^2/a^2 - 9*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 3453] -> 
  1 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 - a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[13, NonAlternating, 3454] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 5*a^4*z^2 - 4*a^6*z^2 + 10*a^8*z^2 - 
   3*a^10*z^2 + 3*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - 2*a^6*z^6, 
 Knot[13, NonAlternating, 3455] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - 
   2*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 - 
   5*a^6*z^4 + 2*a^4*z^6, Knot[13, NonAlternating, 3456] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3457] -> -1 + 4*a^2 - 2*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3458] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3459] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (8*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3460] -> 2*a^2 - a^4 - 5*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 3461] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 + 2*z^4 - 
   7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3462] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3463] -> -2 - 5/a^4 + 9/a^2 - a^2 - 3*z^2 - 
   (8*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - z^4 - (5*z^4)/a^4 + 
   (17*z^4)/a^2 - a^2*z^4 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3464] -> 2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^2 - 
   10*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - z^4/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 3465] -> 
  -3 - 4/a^4 + 8/a^2 - 10*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 - 
   12*z^4 + z^4/a^6 - (16*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 3466] -> -4 + 10*a^2 - 5*a^4 - 6*z^2 - 
   (2*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 - 2*z^4 - z^4/a^2 + 21*a^2*z^4 - 
   6*a^4*z^4 + 8*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3467] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 3468] -> 
  -2/a^6 + 3/a^4 - 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 3469] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + 5*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[13, NonAlternating, 3470] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 3471] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 2*z^2 + z^2/a^2 - 10*a^2*z^2 + 13*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 - 11*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 3472] -> 
  -2/a^6 + 3/a^4 + z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3473] -> 
  2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3474] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 - (4*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3475] -> 1 + z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3476] -> 
  2 - a^(-6) + a^(-4) - a^2 + 6*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3477] -> 
  4 + a^(-4) - 3/a^2 - a^2 + z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   6*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3478] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3479] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 3480] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3481] -> 2*a^2 - a^4 + a^2*z^2 + 2*z^4 - 
   4*a^2*z^4 + 2*a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3482] -> 3 + 2/a^4 - 4/a^2 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 3483] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 3484] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (27*z^4)/a^6 - (9*z^4)/a^4 - (7*z^6)/a^8 + 
   (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3485] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 3486] -> 
  -1 + a^(-2) + a^2 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 3487] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3488] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[13, NonAlternating, 3489] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (2*z^2)/a^10 - (9*z^2)/a^6 + 
   (9*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 3490] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (2*z^2)/a^10 + z^2/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 3491] -> 
  2*a^4 - a^8 - 5*a^2*z^2 + 12*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 5*a^2*z^4 + 
   15*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3492] -> a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + 
   a^(-2) + z^2/a^10 - (4*z^2)/a^6 + (3*z^2)/a^2 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3493] -> a^(-10) - 5/a^6 + 5/a^4 + (2*z^2)/a^10 + 
   z^2/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + z^4/a^10 + z^4/a^8 - 
   (15*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3494] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3495] -> -a^(-12) - 2/a^10 + 4/a^8 - (4*z^2)/a^12 + 
   z^2/a^10 + (12*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + (5*z^4)/a^10 + 
   (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 3496] -> 4 - a^(-4) - 2*a^2 + 5*z^2 - z^2/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 3497] -> 1 + 2/a^4 - 3/a^2 + a^2 + 
   3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3498] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4, Knot[13, NonAlternating, 3499] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (11*z^2)/a^12 + (15*z^2)/a^10 + (9*z^2)/a^8 - 
   (9*z^4)/a^12 + (23*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 3500] -> -2/a^12 + 3/a^8 - (5*z^2)/a^12 + 
   (4*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + (6*z^4)/a^10 + 
   (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 3501] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 7*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[13, NonAlternating, 3502] -> 
  5*a^8 - 4*a^10 + 3*a^4*z^2 - 3*a^6*z^2 + 17*a^8*z^2 - 7*a^10*z^2 + 
   4*a^4*z^4 - 7*a^6*z^4 + 14*a^8*z^4 - 2*a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 
   3*a^8*z^6 - a^6*z^8, Knot[13, NonAlternating, 3503] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^2 - a^2*z^4, Knot[13, NonAlternating, 3504] -> 
  a^6 + 3*a^8 - 3*a^10 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + a^2*z^4 - a^4*z^4 + 3*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 3505] -> 2*a^4 - a^8 - 2*z^2 + 2*a^2*z^2 + 
   5*a^4*z^2 - a^8*z^2 + 2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[13, NonAlternating, 3506] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 7*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 3507] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 7*z^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 3508] -> 
  5*a^8 - 4*a^10 + 3*a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 2*a^4*z^4 - 
   a^6*z^4 + 4*a^8*z^4 - a^6*z^6, Knot[13, NonAlternating, 3509] -> 
  3*a^4 - 2*a^6 + z^2 - 5*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - 
   7*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 3510] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3511] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^10 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3512] -> 4*a^2 - 4*a^4 + a^8 - z^2 + 4*a^2*z^2 - 
   4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[13, NonAlternating, 3513] -> a^2 + a^4 - a^6 - 6*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[13, NonAlternating, 3514] -> -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - 
   4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^2 - a^2*z^4, Knot[13, NonAlternating, 3515] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 3*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 3516] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4/a^8 - 
   z^4/a^6, Knot[13, NonAlternating, 3517] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3518] -> -5 + 2/a^4 + 4*a^2 - 8*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - (5*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 3519] -> 
  6*a^8 - 6*a^10 + a^12 + 4*a^4*z^2 - 5*a^6*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 
   4*a^4*z^4 - 8*a^6*z^4 + 14*a^8*z^4 - 2*a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 
   3*a^8*z^6 - a^6*z^8, Knot[13, NonAlternating, 3520] -> 
  a^(-10) - 5/a^6 + 5/a^4 + (2*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 3521] -> 
  -1 + 2/a^4 - a^(-2) + a^6 - 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2, 
 Knot[13, NonAlternating, 3522] -> a^4 + 2*a^8 - 2*a^10 + z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 3*a^8*z^2 - a^2*z^4 - a^4*z^4 - a^6*z^4, 
 Knot[13, NonAlternating, 3523] -> 1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) - 
   z^2/a^8 - z^2/a^6, Knot[13, NonAlternating, 3524] -> 
  1 + 7*z^2 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, Knot[13, NonAlternating, 3525] -> 
  2*a^4 - a^6 + a^8 - a^10 + 8*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 10*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[13, NonAlternating, 3526] -> 1 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3527] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^12 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 + (4*z^4)/a^10 - (7*z^4)/a^8 + 
   (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 3528] -> -2/a^12 + 3/a^8 + z^2/a^14 - 
   (12*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 - (10*z^4)/a^12 + 
   (22*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 3529] -> 
  1 - 8*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 3530] -> 
  a^2 + a^4 - a^6 - 2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 3531] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3532] -> 5*a^8 - 4*a^10 + 4*a^4*z^2 - 4*a^6*z^2 + 
   16*a^8*z^2 - 6*a^10*z^2 + 4*a^4*z^4 - 8*a^6*z^4 + 13*a^8*z^4 - 
   2*a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 3533] -> a^6 + 3*a^8 - 3*a^10 + 2*a^2*z^2 + 
   2*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + 
   3*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[13, NonAlternating, 3534] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 12*z^2 + (2*z^2)/a^6 - (17*z^2)/a^4 + 
   (30*z^2)/a^2 - 13*z^4 + z^4/a^6 - (17*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 3535] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3536] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 3537] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3538] -> 2*a^2 - a^4 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3539] -> 3 - 3*a^2 + a^4 - a^6 + a^8 + 2*z^2 - 
   6*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 + a^4*z^6, Knot[13, NonAlternating, 3540] -> 
  2 - 2*a^2 + a^4 + 8*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3541] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, Knot[13, NonAlternating, 3542] -> 
  3 + a^(-8) - a^(-6) + a^(-4) - 3/a^2 + 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 3543] -> 
  3*a^4 - 2*a^6 + 6*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3544] -> -2 + 2/a^2 + a^4 - 12*z^2 + (6*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 15*z^4 + (5*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 7*z^6 + 
   z^6/a^2 - z^8, Knot[13, NonAlternating, 3545] -> 
  -1 + a^(-4) + a^4 - 5*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - z^6 - z^6/a^2, Knot[13, NonAlternating, 3546] -> 
  a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + z^2/a^10 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3547] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - 
   3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - a^2*z^4 - a^4*z^4, 
 Knot[13, NonAlternating, 3548] -> -1 + a^(-2) + a^2 - z^2 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 + a^2*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - z^6/a^4, 
 Knot[13, NonAlternating, 3549] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - z^4/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 3550] -> 2/a^4 - 2/a^2 + a^4 + z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 3551] -> 2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^14 - (18*z^2)/a^12 + (23*z^2)/a^10 + (6*z^2)/a^8 - (11*z^4)/a^12 + 
   (28*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 3552] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - (7*z^2)/a^12 + (5*z^2)/a^10 + 
   (12*z^2)/a^8 + z^2/a^6 - (2*z^4)/a^12 + (7*z^4)/a^10 + (12*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 3553] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 
   4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[13, NonAlternating, 3554] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 3555] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 11*z^4 + z^4/a^4 + 4*a^2*z^4 - 6*z^6 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 3556] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 - z^8/a^4, Knot[13, NonAlternating, 3557] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3558] -> 1 + 2/a^4 - 2/a^2 - a^2 + a^6 + z^2 - 
   (4*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + a^2*z^4, 
 Knot[13, NonAlternating, 3559] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - z^4 + 7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3560] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (13*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 3561] -> -2/a^10 + 3/a^8 - 2/a^6 + 
   2/a^4 - (3*z^2)/a^10 + (10*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (6*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 3562] -> 2/a^4 - 2/a^2 + a^2 - a^4 + 
   a^6 - z^2 - (3*z^2)/a^2 - 2*a^4*z^2 + z^4 + a^2*z^4, 
 Knot[13, NonAlternating, 3563] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 - z^6 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3564] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   2*z^4 + z^4/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3565] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3566] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - (8*z^2)/a^12 + (7*z^2)/a^10 + (12*z^2)/a^8 - 
   (8*z^4)/a^12 + (18*z^4)/a^10 + (13*z^4)/a^8 - (2*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 3567] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 - (6*z^6)/a^4 - z^8/a^4, Knot[13, NonAlternating, 3568] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3569] -> -2/a^12 + a^(-10) + a^(-8) + a^(-6) - 
   (4*z^2)/a^12 + (3*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - (2*z^4)/a^12 + 
   (5*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 3570] -> -2/a^10 + 2/a^8 + a^(-6) - 
   a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^2 + 
   (4*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 3571] -> a^(-2) - a^2 + a^4 - 11*z^2 + 
   (6*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 15*z^4 + (5*z^4)/a^2 + a^2*z^4 + 
   a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, Knot[13, NonAlternating, 3572] -> 
  -a^(-6) + a^(-4) + a^(-2) - (3*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 3573] -> -2 + 2/a^2 + a^4 - 5*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + a^4*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3574] -> -a^(-4) + 2/a^2 - z^2/a^8 + z^2/a^6 + 
   z^2/a^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 3575] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 3576] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (5*z^2)/a^12 + (7*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^4)/a^12 + (7*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 3577] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 7*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, Knot[13, NonAlternating, 3578] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 - z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3579] -> 3*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 3580] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 - z^6/a^4, 
 Knot[13, NonAlternating, 3581] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 + (6*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3582] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   z^2/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 - 6*z^4 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 - z^6/a^4 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3583] -> -4 - 5/a^4 + 10/a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3584] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^6/a^8, Knot[13, NonAlternating, 3585] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - (2*z^2)/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - 
   z^4/a^12 + (6*z^4)/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 3586] -> 
  a^2 + a^4 - a^6 - 3*z^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   9*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 3587] -> a^(-10) - 6/a^8 + 7/a^6 - 
   a^(-4) + (2*z^2)/a^10 - (14*z^2)/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 + 
   z^4/a^10 - (15*z^4)/a^8 + (32*z^4)/a^6 - (10*z^4)/a^4 - (7*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3588] -> 6*a^8 - 6*a^10 + a^12 + 3*a^4*z^2 - 
   2*a^6*z^2 + 15*a^8*z^2 - 7*a^10*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 11*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 3589] -> a^(-10) - 5/a^6 + 5/a^4 + z^2/a^10 - 
   (8*z^2)/a^6 + (7*z^2)/a^4 - (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, 
 Knot[13, NonAlternating, 3590] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (18*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 3591] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3592] -> -1 + 4*a^2 - 2*a^4 - z^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 3593] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 3594] -> 1 + a^(-2) - a^2 - a^4 + a^8 - 
   z^2 - 2*a^2*z^2 - 2*a^4*z^2 - a^6*z^2, Knot[13, NonAlternating, 3595] -> 
  2*a^6 + a^8 - 2*a^10 + z^2 + a^2*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4, Knot[13, NonAlternating, 3596] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 - z^2/a^8 - z^2/a^6 + z^2/a^2, 
 Knot[13, NonAlternating, 3597] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 3598] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 11*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   z^4 + 8*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 3599] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3600] -> 1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 - 
   z^2 - 3*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^4*z^4, 
 Knot[13, NonAlternating, 3601] -> 3*a^6 - a^8 - a^10 + 2*a^2*z^2 - a^4*z^2 + 
   6*a^6*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 3602] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 - 
   z^2/a^8 - (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^4, 
 Knot[13, NonAlternating, 3603] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - 
   (15*z^4)/a^8 + (31*z^4)/a^6 - (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3604] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3605] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - 
   z^2/a^6 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6, 
 Knot[13, NonAlternating, 3606] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3607] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3608] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   (3*z^2)/a^12 + (9*z^2)/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^12 + 
   (8*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 3609] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 + 
   (4*z^2)/a^4 + (2*z^4)/a^10 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 3610] -> -2 + 5*a^2 - a^4 - a^6 - 
   7*z^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[13, NonAlternating, 3611] -> -3/a^6 + 5/a^4 - a^(-2) - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4/a^8 + (9*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 + (6*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3612] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 16*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 + (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[13, NonAlternating, 3613] -> 2 - a^(-6) + a^(-4) - a^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 4*z^4 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 3614] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 3615] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3616] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[13, NonAlternating, 3617] -> a^(-2) - a^6 + a^8 - 2*z^2 - 2*a^6*z^2 + 
   a^2*z^4 + a^4*z^4, Knot[13, NonAlternating, 3618] -> 
  3 - a^(-2) - a^2 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3619] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 3620] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - z^4 + 
   6*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 3621] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 3622] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 
   2*a^6*z^6, Knot[13, NonAlternating, 3623] -> 
  2 - 3*a^4 + 2*a^6 + 2*z^2 + a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 + 2*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3624] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 3625] -> 
  2*a^2 - a^4 - z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - z^4 + 6*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3626] -> 2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^2 - 
   5*z^4 + z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 3627] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 
   2*a^10 + 4*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 + 
   2*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 2*a^4*z^6 - 2*a^6*z^6, 
 Knot[13, NonAlternating, 3628] -> -a^(-4) + 2/a^2 - z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 3629] -> 
  a^6 + 3*a^8 - 3*a^10 + 2*a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 
   a^12*z^2 + 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - 
   a^8*z^6, Knot[13, NonAlternating, 3630] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   3*z^2 + z^2/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + z^4 - 8*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 3631] -> 
  2*a^2 - 2*a^6 + a^8 - 2*z^2 + 4*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   2*z^4 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 3632] -> -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 
   3/a^4 - z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 3633] -> 2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + 
   (2*z^2)/a^10 - z^2/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^10 + z^4/a^8 - 
   (14*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3634] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 3635] -> 
  a^(-10) + a^(-8) - 7/a^6 + 6/a^4 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   (16*z^2)/a^6 + (11*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (16*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 3636] -> -2*a^2 + 7*a^4 - 4*a^6 + 2*z^2 - 
   7*a^2*z^2 + 14*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - 9*a^2*z^4 + 9*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3637] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3638] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 3639] -> 
  4 + 3/a^4 - 6/a^2 + 8*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3640] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[13, NonAlternating, 3641] -> 
  4 - 2/a^2 - a^4 - 4*z^2 + z^2/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[13, NonAlternating, 3642] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 6/a^10 + 2/a^8 + (5*z^2)/a^14 - 
   (24*z^2)/a^12 + (21*z^2)/a^10 + (8*z^2)/a^8 - (14*z^4)/a^12 + 
   (26*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 3643] -> 
  -4*a^4 + 16*a^6 - 15*a^8 + 4*a^10 - 13*a^4*z^2 + 45*a^6*z^2 - 31*a^8*z^2 + 
   5*a^10*z^2 - 15*a^4*z^4 + 51*a^6*z^4 - 25*a^8*z^4 + 2*a^10*z^4 - 
   7*a^4*z^6 + 30*a^6*z^6 - 9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[13, NonAlternating, 3644] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 + z^6/a^6, Knot[13, NonAlternating, 3645] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3646] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 8*z^2 + 
   26*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 22*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 3647] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3648] -> -a^(-8) + 2/a^4 + z^2/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 3649] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 4*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[13, NonAlternating, 3650] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 3651] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 3652] -> 1 - a^2 + 2*a^4 - a^6 - a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3653] -> -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (14*z^2)/a^4 - (5*z^2)/a^2 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3654] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   4*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   9*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 3655] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 3656] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   3*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 3657] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - 5*z^2 + 
   9*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 3658] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 23*z^2 - 
   (6*z^2)/a^4 + (23*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3659] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - 
   a^2*z^2 - a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + a^4*z^6 + 3*a^6*z^6, 
 Knot[13, NonAlternating, 3660] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + a^2*z^6, Knot[13, NonAlternating, 3661] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 4*z^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3662] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3663] -> -6 - 4/a^4 + 10/a^2 + a^4 - 11*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + a^4*z^2 - 6*z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   z^6 + z^6/a^2, Knot[13, NonAlternating, 3664] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + z^2/a^10 - (12*z^2)/a^8 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^6)/a^6, Knot[13, NonAlternating, 3665] -> 
  4/a^6 - 9/a^4 + 6/a^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 3666] -> -a^(-12) + 5/a^10 - 9/a^8 + 
   5/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 3667] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 + z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 + z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3668] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3669] -> -a^(-4) + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^6, Knot[13, NonAlternating, 3670] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[13, NonAlternating, 3671] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - (5*z^2)/a^12 + (2*z^2)/a^10 + (13*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^12 + (7*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 3672] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 3673] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (17*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - (15*z^4)/a^8 + 
   (30*z^4)/a^6 - (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3674] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 - (2*z^2)/a^2 + 
   15*a^2*z^2 - 7*a^4*z^2 - z^4 - z^4/a^2 + 16*a^2*z^4 - 5*a^4*z^4 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3675] -> 
  -4/a^8 + 6/a^6 - a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 3676] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3677] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^4 + 
   8*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 3678] -> -3/a^8 + 4/a^6 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 3679] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 3680] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 3681] -> 1 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3682] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3683] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 3684] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 - 12*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 3685] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 3686] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (10*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + 
   (31*z^4)/a^6 - (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3687] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 - z^2/a^6 - 
   (7*z^2)/a^4 + (21*z^2)/a^2 - 6*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3688] -> -3 - 4/a^4 + 8/a^2 - 6*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3689] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (23*z^2)/a^2 - 12*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (34*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 3690] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 - z^4 - 
   z^4/a^2 + 16*a^2*z^4 - 5*a^4*z^4 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3691] -> -3/a^8 + 4/a^6 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 3692] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3693] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 3694] -> 
  -1 - a^(-6) + 3/a^2 - z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   z^4 - (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3695] -> -a^(-4) + 2/a^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + 
   (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 3696] -> 
  -4/a^8 + 6/a^6 - a^(-4) + z^2/a^10 - (13*z^2)/a^8 + (26*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4/a^10 - (15*z^4)/a^8 + (36*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 3697] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (9*z^2)/a^4 - (4*z^2)/a^2 - (5*z^4)/a^8 + (8*z^4)/a^6 + (9*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 3698] -> -a^(-6) + a^(-4) + a^(-2) - 
   3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3699] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 - z^2/a^4 + 8*a^2*z^2 - 4*a^4*z^2 + 
   z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 3700] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 3701] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3702] -> -3/a^4 + 5/a^2 - a^2 + 2*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (6*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[13, NonAlternating, 3703] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (8*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 3704] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 
   8*z^4 + z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 3705] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 3706] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3707] -> -4/a^10 + 5/a^8 - (3*z^2)/a^12 - 
   (3*z^2)/a^10 + (15*z^2)/a^8 + z^2/a^6 - (2*z^4)/a^12 + (3*z^4)/a^10 + 
   (14*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 3708] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[13, NonAlternating, 3709] -> 
  -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (9*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (5*z^4)/a^8 - (9*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 3710] -> 
  -2/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 3711] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - (8*z^2)/a^12 + (6*z^2)/a^10 + 
   (13*z^2)/a^8 - (3*z^4)/a^12 + (9*z^4)/a^10 + (14*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 3712] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3713] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3714] -> 4 - a^(-4) - 2*a^2 - z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 15*z^4 - z^4/a^4 + (12*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 + 
   (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 3715] -> 4 - a^(-4) - 2*a^2 + 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 3716] -> -a^(-8) + 2/a^4 + 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 3717] -> 2 - a^(-4) + a^(-2) - a^2 - 
   z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 4*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 3718] -> -a^(-10) + 2/a^6 - a^(-4) + 
   a^(-2) + (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3719] -> -1 + a^(-2) + a^2 + 4*z^2 - (3*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 3720] -> 
  -a^2 + 4*a^4 - 3*a^8 + a^10 - 3*a^2*z^2 + 8*a^4*z^2 + 4*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[13, NonAlternating, 3721] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 3722] -> a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3723] -> 4 - a^(-2) - 3*a^2 + a^4 - 5*z^2 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   7*z^6 + z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3724] -> -2 + 5*a^2 - a^4 - a^6 - 3*z^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3725] -> 5 - 2/a^2 - 2*a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   6*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 3726] -> 4 - a^(-2) - 3*a^2 + a^4 - 5*z^2 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   7*z^6 + z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3727] -> 5 - 2/a^2 - 2*a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   6*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 3728] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 
   9*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 + 8*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3729] -> -1 + 3*a^2 - a^6 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 3730] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^4 - (2*z^2)/a^2 - z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 3731] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 - 
   a^2*z^2 + z^4 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[13, NonAlternating, 3732] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + z^4/a^10 - (15*z^4)/a^8 + 
   (25*z^4)/a^6 - (9*z^4)/a^4 - (7*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3733] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (5*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3734] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + (2*z^4)/a^10 - 
   (17*z^4)/a^8 + (27*z^4)/a^6 - (9*z^4)/a^4 - (8*z^6)/a^8 + (22*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3735] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 3736] -> 1 + a^(-10) - 2/a^8 + a^(-6) - z^2 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3737] -> -3/a^12 + 12/a^10 - 18/a^8 + 10/a^6 - 
   (5*z^2)/a^12 + (28*z^2)/a^10 - (45*z^2)/a^8 + (25*z^2)/a^6 - 
   (2*z^4)/a^12 + (25*z^4)/a^10 - (50*z^4)/a^8 + (22*z^4)/a^6 + 
   (9*z^6)/a^10 - (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 3738] -> 
  -3/a^12 + 12/a^10 - 18/a^8 + 10/a^6 - (5*z^2)/a^12 + (28*z^2)/a^10 - 
   (45*z^2)/a^8 + (25*z^2)/a^6 - (2*z^4)/a^12 + (25*z^4)/a^10 - 
   (50*z^4)/a^8 + (22*z^4)/a^6 + (9*z^6)/a^10 - (30*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 3739] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (5*z^2)/a^8 + (22*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^8 + 
   (21*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3740] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 - (27*z^2)/a^8 + (18*z^2)/a^6 - z^4/a^12 + 
   (12*z^4)/a^10 - (24*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 3741] -> -10 - 5/a^4 + 13/a^2 + 3*a^2 - 24*z^2 - 
   (7*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (20*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3742] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) + (4*z^2)/a^10 - (21*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^4)/a^10 - (20*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3743] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (32*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (29*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 3744] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 10*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + 
   (30*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 3745] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (5*z^2)/a^8 + (22*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^8 + 
   (21*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3746] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 - (27*z^2)/a^8 + (18*z^2)/a^6 - z^4/a^12 + 
   (12*z^4)/a^10 - (24*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 3747] -> -10 - 5/a^4 + 13/a^2 + 3*a^2 - 24*z^2 - 
   (7*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (20*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3748] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) + (4*z^2)/a^10 - (21*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^4)/a^10 - (20*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3749] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (32*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (29*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 3750] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 10*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + 
   (30*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 3751] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 24*z^2 - 
   (4*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3752] -> -7 + 4/a^2 + 4*a^2 - 13*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3753] -> -4/a^8 + 11/a^6 - 11/a^4 + 5/a^2 - 
   (6*z^2)/a^8 + (30*z^2)/a^6 - (37*z^2)/a^4 + (15*z^2)/a^2 - (2*z^4)/a^8 + 
   (26*z^4)/a^6 - (48*z^4)/a^4 + (16*z^4)/a^2 + (9*z^6)/a^6 - (30*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3754] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + 
   (7*z^4)/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 3755] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 11*z^2 - (6*z^2)/a^4 + (18*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 3756] -> 
  -2/a^10 + 3/a^8 + 3/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (17*z^2)/a^4 + (10*z^2)/a^2 + (7*z^4)/a^8 - (8*z^4)/a^6 - (16*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   z^8/a^4, Knot[13, NonAlternating, 3757] -> -a^(-12) + 2/a^10 - a^(-8) - 
   2/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[13, NonAlternating, 3758] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 3759] -> 
  -a^(-10) + a^(-8) + 5/a^6 - 10/a^4 + 6/a^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (23*z^2)/a^4 + (11*z^2)/a^2 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (21*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3760] -> 3 - a^(-10) + a^(-8) + 3/a^6 - 3/a^4 - 
   2/a^2 + 4*z^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3761] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 
   (5*z^2)/a^8 + (22*z^2)/a^6 - (29*z^2)/a^4 + (11*z^2)/a^2 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 3762] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3763] -> -3/a^12 + 14/a^10 - 22/a^8 + 12/a^6 - 
   (5*z^2)/a^12 + (31*z^2)/a^10 - (53*z^2)/a^8 + (28*z^2)/a^6 - 
   (2*z^4)/a^12 + (26*z^4)/a^10 - (55*z^4)/a^8 + (23*z^4)/a^6 + 
   (9*z^6)/a^10 - (31*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 3764] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 25*z^2 + (7*z^2)/a^2 + 27*a^2*z^2 - 
   8*a^4*z^2 - 22*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3765] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 3766] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 
   (5*z^2)/a^8 + (22*z^2)/a^6 - (29*z^2)/a^4 + (11*z^2)/a^2 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 3767] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3768] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 24*z^2 - 
   (4*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3769] -> -7 + 4/a^2 + 4*a^2 - 13*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3770] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (5*z^2)/a^8 + (22*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^8 + 
   (21*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3771] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 - (27*z^2)/a^8 + (18*z^2)/a^6 - z^4/a^12 + 
   (12*z^4)/a^10 - (24*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 3772] -> -10 - 5/a^4 + 13/a^2 + 3*a^2 - 24*z^2 - 
   (7*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (20*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3773] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) + (4*z^2)/a^10 - (21*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^4)/a^10 - (20*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3774] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (32*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (29*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 3775] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 10*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + 
   (30*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 3776] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (5*z^2)/a^8 + (22*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^8 + 
   (21*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3777] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 - (27*z^2)/a^8 + (18*z^2)/a^6 - z^4/a^12 + 
   (12*z^4)/a^10 - (24*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 3778] -> -10 - 5/a^4 + 13/a^2 + 3*a^2 - 24*z^2 - 
   (7*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (20*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3779] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) + (4*z^2)/a^10 - (21*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^4)/a^10 - (20*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3780] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (32*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (29*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 3781] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 10*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + 
   (30*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 3782] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 25*z^2 + 
   (7*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 22*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3783] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 3784] -> 7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 + 
   19*a^6*z^2 - 28*a^8*z^2 + 17*a^10*z^2 - 3*a^12*z^2 + 14*a^6*z^4 - 
   27*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 + 3*a^6*z^6 - 12*a^8*z^6 + 
   3*a^10*z^6 - 2*a^8*z^8, Knot[13, NonAlternating, 3785] -> 
  -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 - (4*z^2)/a^8 + (21*z^2)/a^6 - 
   (23*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + (18*z^4)/a^6 - (34*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 3786] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 6*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   2*a^6*z^6 - 2*a^8*z^6, Knot[13, NonAlternating, 3787] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 3788] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3789] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 - 11*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 3790] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   3*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3791] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (5*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3792] -> a^(-2) - a^2 + a^4 + 5*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3793] -> 2 + a^(-8) - a^(-6) - a^(-2) - 2*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3794] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 3795] -> a^(-8) - a^(-6) + a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3796] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 9*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 5*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3797] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (13*z^2)/a^2 - 5*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (14*z^4)/a^2 - z^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3798] -> -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 - 
   (5*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 5*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3799] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 3800] -> 7 - 2/a^2 - 4*a^2 - 2*a^4 + 
   2*a^6 + 11*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3801] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 19*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 - 6*a^2*z^2 + 13*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3802] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (13*z^2)/a^2 - 5*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (14*z^4)/a^2 - z^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3803] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3804] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 
   2*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3805] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 3806] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 3*a^2*z^2 - 
   7*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3807] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3808] -> -a^(-10) + a^(-8) + 4/a^6 - 8/a^4 + 
   5/a^2 - z^2/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (10*z^2)/a^2 + (3*z^4)/a^8 - (19*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3809] -> 
  -7 - a^(-6) + 6/a^2 + 3*a^2 - 17*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 
   7*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 3810] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 3811] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - 
   z^6/a^2, Knot[13, NonAlternating, 3812] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 
   2*a^4 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3813] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3814] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3815] -> -2/a^12 + 7/a^10 - 11/a^8 + 7/a^6 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (21*z^2)/a^8 + (16*z^2)/a^6 + 
   (7*z^4)/a^10 - (17*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 3816] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 20*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   6*a^2*z^2 - 16*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 3817] -> 
  -a^(-10) + a^(-8) + 4/a^6 - 8/a^4 + 5/a^2 - z^2/a^10 + (5*z^2)/a^8 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + (3*z^4)/a^8 - (19*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3818] -> -2/a^8 + 10/a^6 - 15/a^4 + 8/a^2 - 
   (5*z^2)/a^8 + (23*z^2)/a^6 - (33*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 3819] -> 4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 
   4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3820] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3821] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 3822] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3823] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 2*a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3824] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 3*a^2*z^2 - 
   7*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3825] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3826] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 
   13*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3827] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 3828] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 7*z^2 + 
   (6*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3829] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 3830] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   8*a^2*z^2 - 22*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 3831] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 3832] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 
   13*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3833] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 3834] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3835] -> 7 - 2/a^2 - 4*a^2 - 2*a^4 + 2*a^6 + 
   11*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3836] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 19*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 - 6*a^2*z^2 + 13*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 3837] -> -a^(-16) + 7/a^14 - 14/a^12 + 7/a^10 + 
   2/a^8 + (6*z^2)/a^14 - (28*z^2)/a^12 + (24*z^2)/a^10 + (7*z^2)/a^8 - 
   (16*z^4)/a^12 + (29*z^4)/a^10 + (10*z^4)/a^8 - (2*z^6)/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 3838] -> -3/a^12 + 14/a^10 - 22/a^8 + 12/a^6 - 
   (5*z^2)/a^12 + (31*z^2)/a^10 - (53*z^2)/a^8 + (28*z^2)/a^6 - 
   (2*z^4)/a^12 + (26*z^4)/a^10 - (55*z^4)/a^8 + (23*z^4)/a^6 + 
   (9*z^6)/a^10 - (31*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 3839] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 6*z^2 + 19*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   4*z^4 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 3840] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - 
   (2*z^4)/a^8 + (19*z^4)/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 + (8*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3841] -> -3/a^12 + 11/a^10 - 16/a^8 + 9/a^6 - 
   (5*z^2)/a^12 + (26*z^2)/a^10 - (40*z^2)/a^8 + (23*z^2)/a^6 - 
   (2*z^4)/a^12 + (24*z^4)/a^10 - (46*z^4)/a^8 + (21*z^4)/a^6 + 
   (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[13, NonAlternating, 3842] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 - 
   4*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[13, NonAlternating, 3843] -> -11 + 3/a^2 + 15*a^2 - 6*a^4 - 26*z^2 + 
   (7*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 22*z^4 + (5*z^4)/a^2 + 24*a^2*z^4 - 
   5*a^4*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3844] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3845] -> -2/a^8 + 10/a^6 - 15/a^4 + 
   8/a^2 - (5*z^2)/a^8 + (23*z^2)/a^6 - (33*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^8 + (19*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + 
   (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 3846] -> 4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 
   4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3847] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 
   2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 3848] -> 4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 
   4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3849] -> 6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 - 
   (4*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 11*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3850] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 3851] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[13, NonAlternating, 3852] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 3853] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (10*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3854] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (18*z^2)/a^6 - (3*z^2)/a^4 + (2*z^4)/a^10 - 
   (17*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 - (8*z^6)/a^8 + (22*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3855] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3856] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + 
   (5*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3857] -> 
  -11 + 3/a^2 + 15*a^2 - 6*a^4 - 26*z^2 + (7*z^2)/a^2 + 31*a^2*z^2 - 
   9*a^4*z^2 - 22*z^4 + (5*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3858] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3859] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 3860] -> 6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 - 
   (4*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 11*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3861] -> 4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 
   4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 3862] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 17*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3863] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 7*z^2 + 
   (6*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3864] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 3865] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[13, NonAlternating, 3866] -> 
  2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (34*z^2)/a^6 - (9*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + (32*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 3867] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 
   7*a^4*z^2 + 29*a^6*z^2 - 19*a^8*z^2 + 3*a^10*z^2 - 11*a^4*z^4 + 
   36*a^6*z^4 - 17*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - 
   a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 3868] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[13, NonAlternating, 3869] -> 
  -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 8*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 9*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 3870] -> -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   (7*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3871] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3872] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   17*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3873] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   6*z^2 + 18*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 19*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[13, NonAlternating, 3874] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   20*z^2 + (7*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 3875] -> 5*a^6 - 7*a^8 + 5*a^10 - 
   2*a^12 + 16*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 11*a^6*z^4 - 
   17*a^8*z^4 + 6*a^10*z^4 + 2*a^6*z^6 - 7*a^8*z^6 + a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 3876] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 + (5*z^4)/a^10 - 
   (13*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[13, NonAlternating, 3877] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 3878] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 
   17*z^4 + z^4/a^2 + 29*a^2*z^4 - 11*a^4*z^4 - 7*z^6 + 23*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, NonAlternating, 3879] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 3880] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 3881] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 3882] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + 3*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3883] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 8*z^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 3884] -> -1 + a^(-6) - a^(-4) + a^(-2) + 
   a^4 - 2*z^2 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 3885] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 4*a^2 - 
   11*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 6*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + z^6/a^4, 
 Knot[13, NonAlternating, 3886] -> -2 - a^(-6) + 3/a^4 - a^2 + 2*a^4 - 
   4*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 + 
   z^4/a^4 - a^2*z^4, Knot[13, NonAlternating, 3887] -> 
  3 - a^(-6) + 4/a^4 - 4/a^2 - 3*a^2 + 2*a^4 + 6*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, Knot[13, NonAlternating, 3888] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 3889] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   3*z^2 + (6*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 + z^6/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 3890] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 3891] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - (3*z^2)/a^12 + (11*z^2)/a^10 - 
   (15*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + (8*z^4)/a^10 - (11*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 3892] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 8*z^2 + 
   (6*z^2)/a^6 - (23*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (22*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3893] -> 
  -2 - a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 - 3*z^2 - (2*z^2)/a^2 + 22*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 + 7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3894] -> 3 - a^(-6) + 4/a^4 - 4/a^2 - 3*a^2 + 
   2*a^4 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 3895] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3896] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 8*z^2 + 
   (6*z^2)/a^6 - (23*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (22*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 3897] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3898] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 3899] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 3900] -> -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 - 
   (6*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3901] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 + 
   (5*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3902] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3903] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 3*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 - a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 3904] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + (5*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[13, NonAlternating, 3905] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 3906] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   8*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 11*a^2*z^4 - 
   30*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 + 6*a^2*z^6 - 23*a^4*z^6 + 7*a^6*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, NonAlternating, 3907] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3908] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - 4*a^2*z^4 - 8*a^4*z^4 + 
   5*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 3909] -> -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 3910] -> 
  -2/a^12 + 9/a^10 - 15/a^8 + 9/a^6 - (4*z^2)/a^12 + (23*z^2)/a^10 - 
   (39*z^2)/a^8 + (23*z^2)/a^6 - (2*z^4)/a^12 + (23*z^4)/a^10 - 
   (46*z^4)/a^8 + (21*z^4)/a^6 + (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 3911] -> a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 + (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (33*z^4)/a^6 - (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3912] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 9*z^2 - 
   (10*z^2)/a^4 + (23*z^2)/a^2 - 6*z^4 - z^4/a^6 - (4*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3913] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (22*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (17*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 3914] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - (16*z^2)/a^8 + (23*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^4)/a^10 - (18*z^4)/a^8 + (33*z^4)/a^6 - (10*z^4)/a^4 - 
   (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 3915] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + (7*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3916] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3917] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + a^4*z^8, Knot[13, NonAlternating, 3918] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3919] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[13, NonAlternating, 3920] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + 15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   18*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[13, NonAlternating, 3921] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 3922] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 3*a^4*z^2 + 
   3*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 3923] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 3924] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + (5*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[13, NonAlternating, 3925] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + (5*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[13, NonAlternating, 3926] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3927] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 3928] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + 15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   18*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[13, NonAlternating, 3929] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 3930] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 3931] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3932] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3933] -> -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   (7*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[13, NonAlternating, 3934] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3935] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   6*z^2 + 18*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 19*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[13, NonAlternating, 3936] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   17*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3937] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   20*z^2 + (7*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 3938] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[13, NonAlternating, 3939] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   7*z^2 + 20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[13, NonAlternating, 3940] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   15*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 3941] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   7*z^2 + 20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[13, NonAlternating, 3942] -> -4/a^8 + 9/a^6 - 7/a^4 + 
   3/a^2 - (4*z^2)/a^8 + (21*z^2)/a^6 - (23*z^2)/a^4 + (10*z^2)/a^2 - 
   z^4/a^8 + (18*z^4)/a^6 - (34*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 3943] -> 7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 + 
   19*a^6*z^2 - 28*a^8*z^2 + 17*a^10*z^2 - 3*a^12*z^2 + 14*a^6*z^4 - 
   27*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 + 3*a^6*z^6 - 12*a^8*z^6 + 
   3*a^10*z^6 - 2*a^8*z^8, Knot[13, NonAlternating, 3944] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 3945] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   6*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[13, NonAlternating, 3946] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 
   7*a^4*z^2 + 29*a^6*z^2 - 19*a^8*z^2 + 3*a^10*z^2 - 11*a^4*z^4 + 
   36*a^6*z^4 - 17*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - 
   a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 3947] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (34*z^2)/a^6 - (9*z^2)/a^4 + z^4/a^10 - 
   (14*z^4)/a^8 + (32*z^4)/a^6 - (8*z^4)/a^4 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 3948] -> 
  -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 8*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 9*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 3949] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[13, NonAlternating, 3950] -> 
  1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 7*z^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 3951] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 + 7*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - z^4 + 4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 3952] -> 3 - a^(-2) - a^2 - z^2 + 
   z^2/a^2 + a^2*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 3953] -> 
  1 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 3954] -> -a^(-4) + 2/a^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 3955] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   2*z^4 + 8*a^2*z^4 - 3*a^4*z^4 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 3956] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 3957] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[13, NonAlternating, 3958] -> 
  -1 + 3*a^2 - a^6 - z^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   3*a^2*z^4 + 3*a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3959] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 3960] -> 
  5*a^6 - 5*a^8 + a^10 + 12*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 7*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 + a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 3961] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 4*a^4*z^2 - 
   a^6*z^2 + a^8*z^2 - a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 3962] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 - (6*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3963] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 3964] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^10 - (14*z^4)/a^8 + 
   (25*z^4)/a^6 - (9*z^4)/a^4 - (7*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 3965] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 3966] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^2 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 3967] -> 
  a^2 + a^4 - a^6 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 3968] -> 2*a^4 - a^8 + 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 3969] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^2 + 
   4*a^2*z^4 - z^6, Knot[13, NonAlternating, 3970] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + 7*a^2*z^4 - 4*a^4*z^4 + 2*a^2*z^6, 
 Knot[13, NonAlternating, 3971] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 3972] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3973] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 3974] -> 
  2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 + 3*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[13, NonAlternating, 3975] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 3976] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6, Knot[13, NonAlternating, 3977] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 3978] -> -a^(-8) + 2/a^4 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - z^6/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 3979] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 8*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   6*z^4 + z^4/a^2 - a^2*z^4 + z^6, Knot[13, NonAlternating, 3980] -> 
  1 - 5*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 10*z^4 + z^4/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 3981] -> 
  2*a^2 - a^4 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 7*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 3982] -> 5 - 2/a^2 - 2*a^2 + 4*z^2 - z^2/a^2 - 
   a^2*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 3983] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   3*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3984] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - z^4 + 
   7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 3985] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 3986] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 
   2*a^2*z^2 - a^4*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 3987] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 + 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 3988] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 + (3*z^4)/a^2 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 3989] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 3990] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 - (5*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 3991] -> 3*a^2 - 3*a^4 + a^6 + z^2 - 
   a^2*z^2 + 2*z^4 - 6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 3992] -> 
  6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 15*a^6*z^2 - 19*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 10*a^6*z^4 - 15*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 
   6*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, Knot[13, NonAlternating, 3993] -> 
  -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 - (4*z^2)/a^8 + (25*z^2)/a^6 - 
   (32*z^2)/a^4 + (14*z^2)/a^2 - z^4/a^8 + (22*z^4)/a^6 - (46*z^4)/a^4 + 
   (16*z^4)/a^2 + (8*z^6)/a^6 - (30*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^6 - 
   (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 3994] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 5*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 3995] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 
   4*z^4 + 13*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[13, NonAlternating, 3996] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + 4*z^2 - (3*z^2)/a^2 - a^2*z^2 + 7*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 3997] -> -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 - z^4/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 3998] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 + z^6/a^6, Knot[13, NonAlternating, 3999] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 4000] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + (4*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4001] -> -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4002] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4003] -> -2/a^6 + 3/a^4 - z^2/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4004] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + z^4/a^4 + z^4/a^2 + 4*a^2*z^4 - 6*z^6 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 4005] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4006] -> 3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4007] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 3*a^2*z^2 - 10*z^4 + z^4/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4008] -> 3 - a^(-2) - a^2 - z^2/a^4 + (2*z^2)/a^2 - 
   4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4009] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 5*a^2*z^2 - a^4*z^2 - z^4 + 6*a^2*z^4 - 
   5*a^4*z^4 + 2*a^6*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4010] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 4011] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + z^6/a^6, Knot[13, NonAlternating, 4012] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 - z^8, Knot[13, NonAlternating, 4013] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (14*z^4)/a^8 + (26*z^4)/a^6 - 
   (9*z^4)/a^4 - (7*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 4014] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 4015] -> 
  2*a^2 - a^4 - z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 4016] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 4017] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 4018] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 4019] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 + z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4020] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 - a^2*z^2 + 5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4021] -> -a^(-4) + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^4, Knot[13, NonAlternating, 4022] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 - 3*a^8*z^2 + 3*a^10*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 
   a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 4023] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 + a^4*z^2 - 
   6*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4024] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (10*z^2)/a^2 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4025] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 - z^2/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4026] -> 1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[13, NonAlternating, 4027] -> a^(-4) - a^(-2) + a^2 + 2*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4028] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4029] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4030] -> 1 - 2*z^4 + 4*a^2*z^4 - 2*a^4*z^4 - z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4031] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 4032] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4033] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 4034] -> 2 - a^(-2) + a^2 - a^4 + z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - z^4/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4035] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + z^4 + z^4/a^4 + 
   z^4/a^2 + z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4036] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 7*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4037] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4038] -> -2/a^10 + 3/a^8 + 2/a^6 - 6/a^4 + 4/a^2 - 
   z^2/a^10 + (9*z^2)/a^8 - z^2/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 + 
   (6*z^4)/a^8 - (9*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[13, NonAlternating, 4039] -> -2/a^12 + 4/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + 
   (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 4040] -> -a^(-12) + a^(-10) + a^(-8) - 
   2/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4, 
 Knot[13, NonAlternating, 4041] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4042] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4043] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 
   2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[13, NonAlternating, 4044] -> 
  3 + 2/a^4 - 4/a^2 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4045] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^2 - 
   9*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 4*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 
   2*a^2*z^6, Knot[13, NonAlternating, 4046] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) - 3*z^2 - (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4047] -> -2/a^6 + 3/a^4 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 4048] -> 2 + a^(-4) - 2/a^2 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[13, NonAlternating, 4049] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4050] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[13, NonAlternating, 4051] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 - (6*z^2)/a^10 + (6*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 + z^6/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 4052] -> a^4 + 2*a^6 - 2*a^8 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 11*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 
   a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4053] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (15*z^4)/a^8 + (30*z^4)/a^6 - (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 4054] -> 2*a^4 - a^8 - a^2*z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4055] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 - (5*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 4056] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4057] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4058] -> 
  a^(-4) - a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   11*z^4 + z^4/a^4 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4059] -> a^4 + 3*a^6 - 4*a^8 + a^10 + a^4*z^2 + 
   8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - 
   a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4060] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 + 10*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 
   z^4 + 7*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4061] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 7*z^2 - (6*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4062] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4063] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4064] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 9*a^2*z^4 - 
   3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4065] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4066] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^8 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4067] -> -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4068] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4069] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 16*z^2 - 
   (6*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4070] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   7*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4071] -> 2*a^4 - a^8 - 2*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 4072] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4073] -> 3*a^4 - 2*a^6 - z^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 4074] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) - z^2 - (3*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^4 - z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 4075] -> 
  -1 + 3*a^2 - a^6 + 2*a^2*z^2 + a^4*z^2 + 2*z^4 - 4*a^2*z^4 + 2*a^4*z^4 + 
   z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4076] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + 
   5*a^2*z^4 - 2*a^4*z^4 - z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4077] -> -1 - a^(-6) + 3/a^2 - 5*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4078] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 2*a^2*z^4 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 4079] -> 
  5 - 2/a^2 - 2*a^2 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*z^4 + z^4/a^4 + 
   3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4080] -> 
  2 - a^(-2) + a^2 - a^4 - 3*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[13, NonAlternating, 4081] -> a^(-4) - a^(-2) + a^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^4 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 4082] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 4083] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 4084] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^10 - (7*z^2)/a^6 + (7*z^2)/a^4 - (5*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^6, Knot[13, NonAlternating, 4085] -> a^(-10) - 2/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 + (10*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4086] -> a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4087] -> a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4088] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 4089] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^2 - z^4 - 
   (3*z^4)/a^6 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4090] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4, Knot[13, NonAlternating, 4091] -> 
  -2/a^6 + 3/a^4 + (3*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4092] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 - z^4/a^6, Knot[13, NonAlternating, 4093] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4094] -> 1 + a^(-10) - 2/a^8 + a^(-6) - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4095] -> -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4096] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4097] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4098] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4099] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 4100] -> 
  -1 - 2/a^4 + 4/a^2 + 2*z^2 + z^2/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4101] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + (3*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 4102] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 + z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4103] -> 5*a^4 - 6*a^6 + 2*a^8 + 8*a^4*z^2 - 
   10*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + 3*a^4*z^4 - 7*a^6*z^4 - a^8*z^4 + 
   a^10*z^4 - 2*a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 4104] -> 
  -7 + 4/a^2 + 5*a^2 - 2*a^4 + a^6 - 14*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 4105] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + z^4 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + z^6/a^6 - (7*z^6)/a^4 - z^8/a^4, 
 Knot[13, NonAlternating, 4106] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 
   5*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4107] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[13, NonAlternating, 4108] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 + a^4*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 + a^4*z^4 + 5*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 
   2*a^8*z^6, Knot[13, NonAlternating, 4109] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4110] -> -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 - a^2*z^2 - z^4 + (2*z^4)/a^4 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4111] -> 2*a^2 - 2*a^6 + a^8 + 2*a^2*z^2 - 
   3*a^6*z^2 + a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[13, NonAlternating, 4112] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 + z^4/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 4113] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4114] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4115] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4116] -> 5*a^6 - 5*a^8 + a^10 + 11*a^6*z^2 - 
   8*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 7*a^6*z^4 - 4*a^8*z^4 + 2*a^10*z^4 + 
   a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 4117] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 5*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4118] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 10*a^2*z^2 - 23*a^4*z^2 + 15*a^6*z^2 - 
   2*a^8*z^2 + 7*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[13, NonAlternating, 4119] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4120] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 + z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   (2*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 4121] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 4122] -> 
  a^(-2) - a^2 + a^4 + z^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4123] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 4124] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (17*z^2)/a^8 + (15*z^2)/a^6 + (7*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + 
   z^6/a^10 - (7*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[13, NonAlternating, 4125] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 4126] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4127] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 
   4/a^2 + (3*z^2)/a^8 + (6*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^8 + (2*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 4128] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 4129] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4130] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 
   z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4131] -> 3*a^2 - 3*a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4132] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 5*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4133] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + a^4*z^2 + 
   11*a^6*z^2 - 11*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + a^4*z^4 + 5*a^6*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - 2*a^8*z^6, Knot[13, NonAlternating, 4134] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 + z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 8*a^2*z^4 + 4*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4135] -> 2 - 2*a^2 + a^4 - 2*a^4*z^2 + a^6*z^2 - 
   z^4 + 4*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4136] -> 
  -1 + a^(-2) + a^2 + z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - 9*a^2*z^4 + 
   3*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4137] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 6*z^2 - 
   (3*z^2)/a^4 - 4*a^2*z^2 + 10*z^4 - z^4/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 4138] -> 
  3*a^6 - a^8 - a^10 + 3*a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 
   4*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[13, NonAlternating, 4139] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   13*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   z^4/a^6 + z^4/a^4 + (11*z^4)/a^2 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[13, NonAlternating, 4140] -> a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4141] -> 
  a^2 + a^4 - a^6 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^6*z^8, Knot[13, NonAlternating, 4142] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4143] -> 
  2*a^6 + a^8 - 2*a^10 + 8*a^6*z^2 + a^8*z^2 - a^12*z^2 + 8*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 4144] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 3*a^2*z^2 - 
   6*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4145] -> 3 - 3*a^2 + a^4 - a^6 + a^8 + z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[13, NonAlternating, 4146] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (10*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - (11*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 4147] -> -7 + 4/a^2 + 4*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[13, NonAlternating, 4148] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4149] -> -a^2 + 4*a^4 - a^6 - a^8 + 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4150] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4151] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 4152] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4153] -> 
  3*a^4 - 2*a^6 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 + 
   5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[13, NonAlternating, 4154] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 4155] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   7*a^2*z^2 - 26*z^4 - z^4/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + 
   (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 4156] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4157] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4158] -> 2*a^2 - a^4 - 2*z^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4159] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - (2*z^2)/a^8 + (18*z^2)/a^6 - 
   (32*z^2)/a^4 + (14*z^2)/a^2 - z^4/a^8 + (17*z^4)/a^6 - (40*z^4)/a^4 + 
   (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 4160] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 4161] -> 1 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   a^8*z^2 - z^4 + a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 4162] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 
   6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 4163] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4164] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4165] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4166] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - (5*z^4)/a^8 + (11*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 4167] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 9*z^4 + z^4/a^4 + 5*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4168] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 
   14*a^6*z^2 - 16*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 + 12*a^6*z^4 - 
   18*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + 3*a^6*z^6 - 10*a^8*z^6 + 
   3*a^10*z^6 - 2*a^8*z^8, Knot[13, NonAlternating, 4169] -> 
  -5 + 3/a^2 + 3*a^2 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 4170] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 
   2*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - a^4*z^4 + 7*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4171] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4172] -> 
  3/a^6 - 7/a^4 + 5/a^2 - z^2 + (7*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 
   z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 4173] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 4174] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^4)/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4175] -> -3/a^8 + 6/a^6 - 4/a^4 + 
   2/a^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 4176] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4177] -> -5 + 13*a^2 - 8*a^4 + a^6 - 15*z^2 + 
   38*a^2*z^2 - 20*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + 44*a^2*z^4 - 18*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + 26*a^2*z^6 - 7*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, NonAlternating, 4178] -> 2/a^14 - 5/a^12 + 4/a^8 + 
   z^2/a^14 - (10*z^2)/a^12 + (4*z^2)/a^10 + (14*z^2)/a^8 - (4*z^4)/a^12 + 
   (6*z^4)/a^10 + (18*z^4)/a^8 + (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 4179] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (25*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (24*z^4)/a^6 - (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 4180] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (14*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 4181] -> -4 - 5/a^4 + 10/a^2 - 9*z^2 - 
   (7*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 7*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4182] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4183] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 4184] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 10*z^2 - 
   z^2/a^4 - 6*a^2*z^2 + a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4185] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 
   z^2/a^6 + (2*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 4186] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 4187] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 
   14*a^6*z^2 - 16*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 12*a^6*z^4 - 
   18*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + 3*a^6*z^6 - 10*a^8*z^6 + 
   3*a^10*z^6 - 2*a^8*z^8, Knot[13, NonAlternating, 4188] -> 
  -3 + 8*a^2 - 4*a^4 - 6*z^2 + 16*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + 14*a^2*z^4 - 
   4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4189] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 4190] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   3*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4191] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4192] -> a^2 + a^4 - a^6 + 2*a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4193] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 + z^6 - 3*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 4194] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^4 + z^4/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4195] -> 3*a^4 - a^6 - 2*a^8 + a^10 + a^4*z^2 + 
   7*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[13, NonAlternating, 4196] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^4*z^2 + 
   8*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4197] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4198] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 9*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (23*z^2)/a^2 - 12*z^4 + z^4/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 4199] -> a^2 + a^4 - a^6 + 3*a^4*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4200] -> 1 + a^(-8) - 2/a^6 + a^(-4) - 3*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 4201] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^6 + (10*z^4)/a^2 + z^6/a^4 + 
   (3*z^6)/a^2, Knot[13, NonAlternating, 4202] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (17*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - (14*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 4203] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 4204] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^4 + (2*z^6)/a^6, Knot[13, NonAlternating, 4205] -> 
  a^(-14) - a^(-12) - 5/a^10 + 6/a^8 - (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (17*z^2)/a^8 + z^2/a^6 - (2*z^4)/a^10 + (14*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 4206] -> 
  -a^(-6) - a^(-4) + 4/a^2 - a^2 + 2*z^2 - z^2/a^6 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 4207] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4208] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[13, NonAlternating, 4209] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (10*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - (11*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[13, NonAlternating, 4210] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + 
   a^8 + z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 4211] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4212] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 4213] -> 1 + 2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4214] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 4215] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 + z^4/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4216] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4217] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 7*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 4218] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) - (3*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[13, NonAlternating, 4219] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (5*z^2)/a^8 - (12*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4220] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 4221] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4222] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4223] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 2*z^2 - 
   6*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 - 7*a^2*z^4 + 
   10*a^4*z^4 - 2*a^6*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 4224] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + z^2/a^2 - 
   a^2*z^2 + 6*a^4*z^2 - 2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 4225] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (5*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 4226] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + 
   a^6 + 3*z^2 - (5*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 2*a^2*z^4, 
 Knot[13, NonAlternating, 4227] -> -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + 
   a^2 - 2*z^2 - (3*z^2)/a^6 + (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4228] -> 2/a^10 - 4/a^8 + 3/a^4 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 4229] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4230] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4231] -> -5 - 6/a^4 + 12/a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (17*z^2)/a^4 + (34*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (17*z^4)/a^4 + (40*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 4232] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4233] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 6*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 
   3*a^8*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4234] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 4235] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 4*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 4236] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 4237] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 4238] -> 
  3 + a^(-6) - 3/a^2 + 6*z^2 + (3*z^2)/a^6 - z^2/a^4 - (11*z^2)/a^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 - (13*z^4)/a^2 + z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4239] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   z^2/a^4 - 8*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[13, NonAlternating, 4240] -> 
  a^(-4) - 2*a^2 + 2*a^4 + z^2 - z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4241] -> -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + 
   20*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + 20*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 - z^6 + 8*a^2*z^6 + a^2*z^8, Knot[13, NonAlternating, 4242] -> 
  a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 + z^2/a^14 - (6*z^2)/a^12 - 
   (3*z^2)/a^10 + (17*z^2)/a^8 - (3*z^4)/a^12 + z^4/a^10 + (19*z^4)/a^8 + 
   z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[13, NonAlternating, 4243] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + 
   (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 4244] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 7*a^4*z^2 + 
   27*a^6*z^2 - 16*a^8*z^2 + 2*a^10*z^2 - 11*a^4*z^4 + 36*a^6*z^4 - 
   16*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[13, NonAlternating, 4245] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (23*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (24*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 4246] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + (3*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^6 - (3*z^6)/a^4, Knot[13, NonAlternating, 4247] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 + 3*z^4 - 13*a^2*z^4 + 5*a^4*z^4 + z^6 - 6*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 4248] -> 2*a^6 - a^12 + 9*a^6*z^2 - 
   2*a^8*z^2 + 4*a^10*z^2 - 2*a^12*z^2 + 8*a^6*z^4 - 5*a^8*z^4 + 6*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 4249] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (3*z^2)/a^12 + (10*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^12 + 
   (8*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[13, NonAlternating, 4250] -> 
  a^4 + a^8 - a^12 + 4*a^4*z^2 + a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 
   2*a^4*z^4 - a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 4251] -> -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 4252] -> -5 - a^(-4) + 5/a^2 + a^2 + 
   a^4 - 14*z^2 - z^2/a^4 + (9*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 11*z^4 + 
   (4*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4253] -> -a^4 + 6*a^6 - 4*a^8 + 2*a^2*z^2 - 
   4*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4254] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 4255] -> -5 + 3/a^2 + 3*a^2 - 8*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4256] -> 5*a^8 - 4*a^10 + 2*a^6*z^2 + 16*a^8*z^2 - 
   8*a^10*z^2 + 3*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + a^6*z^6 + 3*a^8*z^6, 
 Knot[13, NonAlternating, 4257] -> 1 + 3*z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 - z^8/a^4, Knot[13, NonAlternating, 4258] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4259] -> -1 + 5*a^2 - 4*a^4 + a^6 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + 2*z^6 - 
   3*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4260] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 - (4*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^2, Knot[13, NonAlternating, 4261] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + z^2/a^4 + 8*a^2*z^2 - 2*a^4*z^2 - 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 2*z^6 - (2*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 4262] -> 3*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4263] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 - a^4*z^2 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 4264] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 
   z^2/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - 11*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4265] -> 2*a^6 + a^8 - 2*a^10 + 4*a^4*z^2 - 
   a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 4*a^4*z^4 - 7*a^6*z^4 + 8*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[13, NonAlternating, 4266] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[13, NonAlternating, 4267] -> a^(-4) - 2*a^2 + 2*a^4 - 3*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 4268] -> 
  a^4 + 2*a^8 - 2*a^10 + 2*a^2*z^2 + a^4*z^2 + 5*a^8*z^2 - a^10*z^2 + 
   a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[13, NonAlternating, 4269] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^8 - z^4/a^6, 
 Knot[13, NonAlternating, 4270] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4271] -> 1 + z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 4272] -> 
  2*a^4 - a^8 + a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4273] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4274] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4275] -> 1 - 2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4276] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (25*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 4277] -> 
  2*a^4 - a^8 + 3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 + 
   6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[13, NonAlternating, 4278] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   28*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 11*a^2*z^2 - 38*z^4 - z^4/a^4 + 
   (18*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[13, NonAlternating, 4279] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4280] -> 
  1 + a^2 - 2*a^4 + a^6 + a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + a^8*z^2 - z^4 + 
   a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 4281] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + (4*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4, Knot[13, NonAlternating, 4282] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 4283] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 9*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^2 + a^2*z^4 - z^6, 
 Knot[13, NonAlternating, 4284] -> 3 + a^(-6) - 3/a^2 + 3*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 4285] -> 
  -2*a^2 + 7*a^4 - 4*a^6 + z^2 - 6*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 + 2*z^4 - 
   7*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 4286] -> a^(-2) - a^4 + a^6 - z^2 + 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - z^4 - a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 4287] -> 
  a^2 + a^6 - a^8 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   2*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[13, NonAlternating, 4288] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   10*z^2 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[13, NonAlternating, 4289] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 4290] -> 
  4 + 3/a^4 - 6/a^2 + 7*z^2 + (5*z^2)/a^4 - (14*z^2)/a^2 - a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^4 - (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 4291] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4292] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4293] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 6*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[13, NonAlternating, 4294] -> 3 - a^(-2) - a^2 + 10*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4295] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[13, NonAlternating, 4296] -> 
  a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - (3*z^2)/a^12 - (4*z^2)/a^10 + 
   (14*z^2)/a^8 + (2*z^2)/a^6 + (11*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4297] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4298] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[13, NonAlternating, 4299] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 4300] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - z^4/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4301] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4302] -> -1 - 2/a^4 + 4/a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 18*z^6 + (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[13, NonAlternating, 4303] -> 4*a^4 - 3*a^6 - a^8 + a^10 + 
   4*a^4*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4304] -> -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 + 
   (6*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 16*z^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 
   7*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4305] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4306] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 4307] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 4308] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[13, NonAlternating, 4309] -> 
  -4 - 5/a^4 + 10/a^2 - 10*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (27*z^2)/a^2 - 
   8*z^4 + z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[13, NonAlternating, 4310] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (7*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^6, Knot[13, NonAlternating, 4311] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 4312] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4313] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - (6*z^2)/a^12 + z^2/a^10 + 
   (15*z^2)/a^8 - (2*z^4)/a^12 + (5*z^4)/a^10 + (15*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 4314] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 + (3*z^2)/a^10 - z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 4315] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 - (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 4316] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4317] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6, Knot[13, NonAlternating, 4318] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - 
   5*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 4319] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 4*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 4320] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 + 
   (6*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 4321] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4322] -> 
  3*a^4 - 2*a^6 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 4323] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4324] -> -3 + 8*a^2 - 4*a^4 - 4*z^2 - (2*z^2)/a^2 + 
   18*a^2*z^2 - 8*a^4*z^2 - z^4 - z^4/a^2 + 17*a^2*z^4 - 5*a^4*z^4 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4325] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 4326] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4327] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4328] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 31*z^2 - (3*z^2)/a^4 + (20*z^2)/a^2 + 
   12*a^2*z^2 - 39*z^4 - z^4/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 4329] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4330] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 9*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 4331] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 8*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4332] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 4*z^4 + z^4/a^6 - (11*z^4)/a^2 + 
   z^6 - (6*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4333] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4334] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4335] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4336] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 5*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4337] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 4338] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4339] -> -2 + a^(-4) + 2*a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4340] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 4341] -> 
  -1 + a^(-2) + a^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4342] -> -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4343] -> 
  3/a^6 - 7/a^4 + 5/a^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 4344] -> -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4345] -> 
  -1 - 4/a^4 + 7/a^2 - a^2 - 3*z^2 - (6*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 - 
   3*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 4346] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   5*z^2 - z^2/a^6 + (9*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 4347] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 13*z^2 - z^2/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 12*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 4348] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 4349] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 + z^2 - 
   5*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + 
   2*a^4*z^6, Knot[13, NonAlternating, 4350] -> 
  2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4351] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4352] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^4*z^2 + 
   10*a^6*z^2 - 8*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^4*z^4 + 5*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^8*z^6, Knot[13, NonAlternating, 4353] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 + 2*z^2 - 7*a^2*z^2 + 13*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + z^4 - 7*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 - 2*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 4354] -> 
  -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*z^4 + 
   a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 4355] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 4*z^4 + 4*a^2*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 4356] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, Knot[13, NonAlternating, 4357] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 4*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 4358] -> 1 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4359] -> -2*a^4 + 8*a^6 - 5*a^8 + 2*a^2*z^2 - 
   7*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - 2*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4360] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 + z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4361] -> 
  2/a^14 - 9/a^12 + 8/a^10 + z^2/a^14 - (20*z^2)/a^12 + (28*z^2)/a^10 + 
   (4*z^2)/a^8 - (12*z^4)/a^12 + (32*z^4)/a^10 + (10*z^4)/a^8 - 
   (2*z^6)/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 4362] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   (8*z^2)/a^12 + (8*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - (2*z^4)/a^12 + 
   (8*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4363] -> -a^(-12) - 2/a^10 + 4/a^8 - 
   (4*z^2)/a^12 + z^2/a^10 + (12*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + 
   (5*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4364] -> 2*a^4 - 3*a^6 + 5*a^8 - 
   3*a^10 + 2*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 - 2*a^10*z^2 + 
   a^2*z^4 - a^4*z^4 - 6*a^6*z^4 + 4*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[13, NonAlternating, 4365] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, NonAlternating, 4366] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + z^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4, Knot[13, NonAlternating, 4367] -> 
  -4 - 5/a^4 + 10/a^2 - 12*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + (31*z^2)/a^2 - 
   13*z^4 + z^4/a^6 - (17*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 4368] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   11*a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 7*a^6*z^4 - 4*a^8*z^4 + 
   2*a^10*z^4 + a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 4369] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4370] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4371] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2 - 
   2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   a^4*z^6, Knot[13, NonAlternating, 4372] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[13, NonAlternating, 4373] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + 2*z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[13, NonAlternating, 4374] -> -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (7*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 4375] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[13, NonAlternating, 4376] -> 
  1 + a^4 - 2*a^6 + a^8 - z^2 + 3*a^4*z^2 - 3*a^6*z^2 - z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 4377] -> 
  a^4 + a^8 - a^12 + 5*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 2*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 - a^6*z^6, Knot[13, NonAlternating, 4378] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4379] -> 1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[13, NonAlternating, 4380] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4381] -> 
  4 + 3/a^4 - 6/a^2 + 5*z^2 + z^2/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4382] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 + 
   z^2/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 + 3*z^4 - 14*a^2*z^4 + 
   5*a^4*z^4 + z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4383] -> a^(-8) - 4/a^6 + 4/a^4 - z^2/a^10 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^6, Knot[13, NonAlternating, 4384] -> 
  5 - 2/a^2 - 2*a^2 + 7*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   5*z^4 + z^4/a^4 - a^2*z^4 + z^6, Knot[13, NonAlternating, 4385] -> 
  -a^(-12) - 2/a^10 + 4/a^8 + z^2/a^14 - (9*z^2)/a^12 + (6*z^2)/a^10 + 
   (13*z^2)/a^8 - (7*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^12 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 4386] -> -2/a^8 + 5/a^4 - 2/a^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4387] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 
   6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4388] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 9*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4389] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - 2*a^2*z^2 + 
   11*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - 7*a^6*z^4 - 
   a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 4390] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4391] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4392] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[13, NonAlternating, 4393] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, Knot[13, NonAlternating, 4394] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 4395] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + 
   a^8 + z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - 7*a^2*z^4 + 
   6*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4396] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6, Knot[13, NonAlternating, 4397] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (11*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4398] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 
   3/a^2 + (7*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4399] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4400] -> 
  a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 - z^2 - 4*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 + z^4 - 2*a^2*z^4 + 4*a^4*z^4 - a^2*z^6, 
 Knot[13, NonAlternating, 4401] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 + (5*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4402] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 11*z^2 - (5*z^2)/a^2 - 6*a^2*z^2 - 
   a^4*z^2 + 12*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 4403] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4404] -> 
  a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 2*a^2*z^2 - 8*a^4*z^2 + 19*a^6*z^2 - 
   7*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 2*a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4405] -> 
  -a^4 + 6*a^6 - 4*a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 17*a^6*z^2 - 6*a^8*z^2 + 
   a^2*z^4 - 7*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*a^4*z^6 + 6*a^6*z^6 - 
   a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4406] -> 
  4*a^6 - 3*a^8 + z^2 - a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4407] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - 4*a^6*z^4 + 
   4*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, Knot[13, NonAlternating, 4408] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[13, NonAlternating, 4409] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   4*z^2 - (4*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 8*z^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[13, NonAlternating, 4410] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[13, NonAlternating, 4411] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4412] -> 2 - a^2 - a^6 + a^8 + z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 4413] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 - a^2*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 4414] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 4415] -> -3/a^8 + 4/a^6 + z^2/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 4416] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 4417] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 4418] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 - 
   z^6/a^8 + z^6/a^6, Knot[13, NonAlternating, 4419] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 4420] -> -1 + a^(-2) + a^2 - 10*z^2 + z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + z^4/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 
   7*z^6 + a^2*z^6 - z^8, Knot[13, NonAlternating, 4421] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 4422] -> 
  -a^(-8) + 2/a^4 + 2*z^2 - z^2/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4423] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4424] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4425] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (23*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[13, NonAlternating, 4426] -> 
  a^2 + a^4 - a^6 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + 5*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4427] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4428] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + z^2 - (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 
   z^4 - z^4/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4429] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   (3*z^2)/a^12 + (11*z^2)/a^10 - (16*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + 
   (11*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 4430] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 - z^6 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4431] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[13, NonAlternating, 4432] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 4433] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[13, NonAlternating, 4434] -> 2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4435] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 4436] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 6*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 + 
   6*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4437] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[13, NonAlternating, 4438] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   5*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 4439] -> 
  2*a^2 - a^4 - z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - z^4 + 6*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4440] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (21*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + 
   (12*z^4)/a^10 - (22*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 4441] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 4442] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + 3*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 4443] -> 4*a^4 - 3*a^6 - a^8 + a^10 - 3*a^2*z^2 + 
   8*a^4*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 6*a^6*z^4 - 
   5*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[13, NonAlternating, 4444] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 
   3/a^2 + 2*z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[13, NonAlternating, 4445] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4446] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - z^4/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4447] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 4448] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4449] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - 3*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4450] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 2*a^2*z^2 - 
   a^4*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*z^6 - 3*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4451] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 4452] -> 2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4453] -> 1 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4454] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4455] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 3*a^2*z^2 - 
   9*a^4*z^2 + 18*a^6*z^2 - 6*a^8*z^2 + a^2*z^4 - 8*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 - 2*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4456] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4457] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4458] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4459] -> -a^(-4) + 2/a^2 - 9*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 - z^4/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 
   18*z^6 + (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 4460] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 4*a^4*z^2 + 
   2*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 + 5*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4461] -> 1 + a^(-6) - 2/a^2 + a^2 + 2*z^2 - 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[13, NonAlternating, 4462] -> 1 + a^2 - 2*a^4 + a^6 + z^2/a^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - z^4 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 4463] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 4464] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + (3*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4465] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 4466] -> a^(-2) - a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 + a^4*z^4 + 
   z^6, Knot[13, NonAlternating, 4467] -> a^2 + a^4 - 2*a^8 + a^10 + 
   2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[13, NonAlternating, 4468] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4469] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (23*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (24*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 4470] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - z^4 + 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4471] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[13, NonAlternating, 4472] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 15*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 16*z^4 + z^4/a^4 + z^4/a^2 + 5*a^2*z^4 - 7*z^6 + a^2*z^6 - 
   z^8, Knot[13, NonAlternating, 4473] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 4474] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4475] -> a^(-4) - 2*a^2 + 2*a^4 - 4*z^2 + z^2/a^4 - 
   5*a^2*z^2 + 3*a^4*z^2 - 4*z^4 - 4*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4476] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 4477] -> 
  2 - a^2 - a^6 + a^8 - a^2*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 4478] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   z^4 + 5*a^2*z^4 - a^4*z^4 + a^6*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 4479] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   11*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 
   6*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4480] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (24*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (24*z^4)/a^6 - (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 4481] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4482] -> 3 - a^(-2) - a^2 + 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + (4*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 4483] -> 4*a^4 - 4*a^6 + a^8 + 5*a^4*z^2 - 
   3*a^6*z^2 - a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4484] -> 
  -a^(-6) + a^(-4) + a^(-2) - 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 
   8*z^4 + z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 4485] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (18*z^4)/a^6 - (5*z^4)/a^4 - (3*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[13, NonAlternating, 4486] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^2 + 13*a^2*z^2 - 6*a^4*z^2 - 
   2*z^4 - z^4/a^2 + 15*a^2*z^4 - 5*a^4*z^4 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4487] -> -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 
   3/a^4 + (2*z^2)/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, Knot[13, NonAlternating, 4488] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 9*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   11*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 4489] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4490] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4491] -> -2 + 2/a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 4492] -> 1 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 4493] -> 
  a^2 + a^4 - a^6 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 4494] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4495] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   7*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4496] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 
   5*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, NonAlternating, 4497] -> a^(-10) - a^(-8) + a^(-6) - 
   4/a^4 + 4/a^2 - z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - z^4 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, Knot[13, NonAlternating, 4498] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 + z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 5*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 4499] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 
   5*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[13, NonAlternating, 4500] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + z^4 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   z^6 - a^2*z^6, Knot[13, NonAlternating, 4501] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 2*z^2 + a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 - z^6 + 5*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[13, NonAlternating, 4502] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 4*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - 9*a^8*z^4 + 5*a^10*z^4 + 
   a^4*z^6 - 4*a^6*z^6 - 5*a^8*z^6 + a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[13, NonAlternating, 4503] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*a^10*z^2 + a^2*z^4 - a^4*z^4 - 
   5*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 4504] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[13, NonAlternating, 4505] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 
   3*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   a^6*z^4 - 7*a^8*z^4 + 5*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 - 5*a^8*z^6 + 
   a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, NonAlternating, 4506] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[13, NonAlternating, 4507] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + a^4*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4508] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[13, NonAlternating, 4509] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 4510] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 4511] -> -2/a^8 + 7/a^6 - 9/a^4 + 
   5/a^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4512] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 4513] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   11*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4514] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^6 + z^4/a^4, 
 Knot[13, NonAlternating, 4515] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4516] -> 3*a^4 - 2*a^6 - 3*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 6*a^4*z^6 + a^4*z^8, Knot[13, NonAlternating, 4517] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - z^2/a^4 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4518] -> 
  5 - 2/a^2 - 2*a^2 + 5*z^2 - (2*z^2)/a^2 - a^4*z^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4519] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4520] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (26*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (25*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 4521] -> 2 - a^(-2) + a^2 - a^4 + z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - z^4 + 10*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4522] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - z^6/a^4, Knot[13, NonAlternating, 4523] -> 
  1 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4524] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 - a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + a^4*z^8, Knot[13, NonAlternating, 4525] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4526] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 3*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 - a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4527] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 20*z^2 - (8*z^2)/a^4 + (21*z^2)/a^2 + 
   4*a^2*z^2 - 18*z^4 - (12*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 7*z^6 - 
   (6*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 4528] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4529] -> 2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 + 
   4*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + 2*a^4*z^4 - a^6*z^4 - 
   3*a^8*z^4 + a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 4530] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - 7*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4531] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - z^4 + 10*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4532] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - 2*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 4533] -> 
  2*a^2 - a^4 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 4534] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 4535] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4, Knot[13, NonAlternating, 4536] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4537] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 13*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4538] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4539] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^6 + z^4/a^4 - z^4/a^2, 
 Knot[13, NonAlternating, 4540] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4541] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 7*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (13*z^2)/a^2 - a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4542] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4543] -> -a^2 + 5*a^4 - 3*a^6 + z^2 - 5*a^2*z^2 + 
   12*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + 
   z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4544] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 3*a^2*z^2 - 10*a^4*z^2 + 17*a^6*z^2 - 
   6*a^8*z^2 + a^2*z^4 - 8*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4545] -> 
  1 - 3*a^4 + 6*a^6 - 3*a^8 + z^2 - a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 - a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[13, NonAlternating, 4546] -> 3 - a^(-2) - a^2 - z^2/a^4 + (2*z^2)/a^2 - 
   4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4547] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - z^8, Knot[13, NonAlternating, 4548] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 4549] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4550] -> -1 + a^(-2) + a^2 - 6*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4551] -> 
  a^(-2) - a^2 + a^4 - z^2 + z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   z^4 - 7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 4552] -> 4 - a^(-4) - 2*a^2 + 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 4*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4553] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 4554] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4555] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4556] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4557] -> -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4558] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 4559] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4560] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 4561] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 - z^2/a^8 + z^2/a^6 + 
   (9*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4562] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[13, NonAlternating, 4563] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (15*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 4564] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 5*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 4565] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 4566] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4567] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + 
   (5*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4568] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 4569] -> 3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + 
   (2*z^2)/a^14 - (17*z^2)/a^12 + (14*z^2)/a^10 + (10*z^2)/a^8 - 
   (9*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 - z^6/a^12 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[13, NonAlternating, 4570] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 7*z^2 - (4*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 4571] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4572] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 4573] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (14*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 4574] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 2*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 3*z^4 - 8*a^2*z^4 + 5*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 4575] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, Knot[13, NonAlternating, 4576] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 - z^4/a^6 + (9*z^4)/a^2 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[13, NonAlternating, 4577] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (13*z^2)/a^4 - (9*z^2)/a^2 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^4, Knot[13, NonAlternating, 4578] -> 
  5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 9*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^2, Knot[13, NonAlternating, 4579] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + (3*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 4580] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4581] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 
   6*z^2 + z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 4582] -> 7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 
   11*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4583] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - 2*a^2*z^6, Knot[13, NonAlternating, 4584] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4585] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4586] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   4*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4587] -> 5/a^14 - 15/a^12 + 11/a^10 + 
   (5*z^2)/a^14 - (35*z^2)/a^12 + (40*z^2)/a^10 + z^4/a^14 - (28*z^4)/a^12 + 
   (57*z^4)/a^10 - (9*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[13, NonAlternating, 4588] -> 
  -6 + a^(-6) - 9/a^4 + 15/a^2 - 16*z^2 + (2*z^2)/a^6 - (21*z^2)/a^4 + 
   (41*z^2)/a^2 - 14*z^4 + z^4/a^6 - (18*z^4)/a^4 + (45*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 4589] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (3*z^2)/a^12 + (20*z^2)/a^10 - (35*z^2)/a^8 + (22*z^2)/a^6 - z^4/a^12 + 
   (20*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + (8*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[13, NonAlternating, 4590] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - 9*a^2*z^4 + 4*a^4*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4591] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 4592] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 + a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 4593] -> 
  6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 10*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 5*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 4594] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[13, NonAlternating, 4595] -> 1 - a^(-6) + 2/a^2 - a^2 + 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^4 - a^2*z^4 + 
   z^6, Knot[13, NonAlternating, 4596] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - 
   a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - (5*z^4)/a^8 + (10*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4597] -> a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 4598] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (16*z^2)/a^4 - (12*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + 
   (12*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4599] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 
   3*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4600] -> 2*a^4 - a^8 + a^2*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4601] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 6*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4602] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 8*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (22*z^2)/a^2 - 9*z^4 + z^4/a^6 - (13*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 4603] -> 4*a^4 - 4*a^6 + a^8 + 6*a^4*z^2 - 
   4*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4604] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 4605] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 16*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   6*a^2*z^2 - 25*z^4 - z^4/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + 
   (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 4606] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (23*z^2)/a^4 + (10*z^2)/a^2 + (8*z^4)/a^6 - 
   (21*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4607] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4608] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (6*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4609] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (6*z^2)/a^8 + (20*z^2)/a^6 - 
   (18*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 4610] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4611] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4612] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (22*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (17*z^4)/a^6 - (34*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 4613] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 
   16*a^6*z^2 - 20*a^8*z^2 + 12*a^10*z^2 - 2*a^12*z^2 + 11*a^6*z^4 - 
   17*a^8*z^4 + 7*a^10*z^4 + 2*a^6*z^6 - 7*a^8*z^6 + a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 4614] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 5*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 2*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4615] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - 
   (10*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 4616] -> 1 - 2/a^4 + 3/a^2 - a^2 - 3*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4617] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 + 
   15*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - 2*a^12*z^2 + 12*a^6*z^4 - 
   19*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + 3*a^6*z^6 - 10*a^8*z^6 + 
   3*a^10*z^6 - 2*a^8*z^8, Knot[13, NonAlternating, 4618] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   z^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 4619] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - (5*z^4)/a^8 + 
   (12*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4620] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 9*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 + a^2*z^6, Knot[13, NonAlternating, 4621] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 9*z^4 + z^4/a^4 + z^4/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4622] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4623] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6, Knot[13, NonAlternating, 4624] -> 4*a^2 - 5*a^4 + 2*a^6 + 
   5*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4625] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 4626] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 + 2*z^2 - 
   7*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 - 4*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 
   2*a^4*z^6, Knot[13, NonAlternating, 4627] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 4628] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 + z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 - z^8/a^4, Knot[13, NonAlternating, 4629] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 5*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4630] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4631] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 3*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 
   a^6*z^6 - 3*a^8*z^6, Knot[13, NonAlternating, 4632] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 - 5*z^4 + 9*a^2*z^4 - a^4*z^4 - a^6*z^4 + 3*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 4633] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (18*z^2)/a^8 + (30*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - 
   (16*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 4634] -> -4 - 5/a^4 + 10/a^2 - 9*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (24*z^2)/a^2 - 6*z^4 - (7*z^4)/a^4 + (21*z^4)/a^2 - z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4635] -> 
  2/a^14 - 4/a^12 - 2/a^10 + 5/a^8 + z^2/a^14 - (8*z^2)/a^12 - z^2/a^10 + 
   (16*z^2)/a^8 - (3*z^4)/a^12 + (2*z^4)/a^10 + (19*z^4)/a^8 + z^6/a^10 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[13, NonAlternating, 4636] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (22*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 4637] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 4638] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + (8*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4639] -> a^(-14) - 7/a^10 + 7/a^8 - (14*z^2)/a^10 + 
   (21*z^2)/a^8 - (7*z^4)/a^10 + (21*z^4)/a^8 - z^6/a^10 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[13, NonAlternating, 4640] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^6, Knot[13, NonAlternating, 4641] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (15*z^2)/a^6 + (3*z^4)/a^10 - (10*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 4642] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + 
   (6*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 4643] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 15*a^2*z^4 - 8*a^4*z^4 - 
   z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 4644] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 4645] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 11*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + 
   (30*z^2)/a^2 - 8*z^4 + z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[13, NonAlternating, 4646] -> 1 - 4/a^6 + 8/a^4 - 4/a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (17*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + 
   (12*z^4)/a^4 - (11*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4647] -> -2/a^6 + 3/a^4 - 2*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + a^2*z^2 - 2*z^4 + (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[13, NonAlternating, 4648] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^2 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4649] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4650] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2, Knot[13, NonAlternating, 4651] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - z^2/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - 10*z^4 + (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4652] -> a^(-4) - 2*a^2 + 2*a^4 + 2*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4653] -> -a^(-10) + a^(-8) + 4/a^6 - 8/a^4 + 
   5/a^2 + (2*z^2)/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^8 + (3*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 4654] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 4655] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4656] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4657] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + 3*z^4 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[13, NonAlternating, 4658] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 10*a^4*z^2 + 8*a^6*z^2 + z^4 - 
   3*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[13, NonAlternating, 4659] -> 1 - a^2 + a^4 + a^6 - a^8 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^4*z^4 + a^6*z^4, 
 Knot[13, NonAlternating, 4660] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[13, NonAlternating, 4661] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4662] -> 2*a^2 - a^4 - z^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 - z^4 + 6*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4663] -> -1 + 3*a^2 - a^6 - 4*z^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4664] -> 1 + z^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   z^4 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 4665] -> -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[13, NonAlternating, 4666] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + (2*z^2)/a^4 + z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4667] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 4668] -> 
  -a^(-10) + a^(-8) + a^(-2) + (4*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4669] -> 2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 6*a^2*z^4 - 
   5*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, NonAlternating, 4670] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - z^4 + 6*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4671] -> a^2 + a^4 - a^6 - 2*z^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - z^4 + 7*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4672] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4673] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 4674] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 4675] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4676] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 4*z^4 + z^4/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4677] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4678] -> -1 + a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[13, NonAlternating, 4679] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + 
   (2*z^2)/a^10 + z^2/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 4680] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4681] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4682] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 4683] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 10*a^2*z^2 - 23*a^4*z^2 + 17*a^6*z^2 - 
   3*a^8*z^2 + 12*a^2*z^4 - 34*a^4*z^4 + 17*a^6*z^4 - a^8*z^4 + 6*a^2*z^6 - 
   24*a^4*z^6 + 7*a^6*z^6 + a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, NonAlternating, 4684] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (9*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + 
   (10*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 4685] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 
   5*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 4686] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 4687] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + 
   11*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 + 12*a^2*z^4 - 
   35*a^4*z^4 + 17*a^6*z^4 - a^8*z^4 + 6*a^2*z^6 - 24*a^4*z^6 + 7*a^6*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, NonAlternating, 4688] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 4689] -> a^(-4) - a^(-2) + a^2 + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 4*z^4 + z^4/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4690] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[13, NonAlternating, 4691] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[13, NonAlternating, 4692] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[13, NonAlternating, 4693] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 + z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4694] -> a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4695] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 4696] -> 
  4*a^2 - 7*a^4 + 5*a^6 - a^10 + 10*a^2*z^2 - 19*a^4*z^2 + 9*a^6*z^2 + 
   2*a^8*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + a^2*z^6 - 
   8*a^4*z^6 - a^4*z^8, Knot[13, NonAlternating, 4697] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + (2*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4698] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-2) + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4, Knot[13, NonAlternating, 4699] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 6*z^4 + 
   (2*z^4)/a^4 - (10*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 4700] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 4701] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 + 
   z^2/a^6 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[13, NonAlternating, 4702] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^4 + (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6, Knot[13, NonAlternating, 4703] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   z^6 - (2*z^6)/a^2, Knot[13, NonAlternating, 4704] -> 
  a^2 + a^4 - a^6 + z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - 
   7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4705] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   5*a^4*z^2 + 2*a^6*z^2 - 8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   3*a^6*z^4 - 9*a^8*z^4 + 5*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 - 5*a^8*z^6 + 
   a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[13, NonAlternating, 4706] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + z^4 - 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4707] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4708] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 - z^4/a^6 + 
   (9*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4709] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^2 + 2*z^4 - z^4/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4710] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[13, NonAlternating, 4711] -> 2*a^4 - a^8 - 2*a^2*z^2 + 7*a^4*z^2 - 
   a^8*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[13, NonAlternating, 4712] -> 
  -a^4 + 6*a^6 - 4*a^8 - 2*a^4*z^2 + 17*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 
   3*a^4*z^4 + 15*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 6*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4713] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 - (2*z^2)/a^6 - (5*z^2)/a^4 + (19*z^2)/a^2 - 
   6*z^4 - z^4/a^6 - (2*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (8*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 4714] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 
   2*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 12*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 + 5*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^4*z^10, Knot[13, NonAlternating, 4715] -> 
  4*a^6 - 3*a^8 + 3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4716] -> -1 - 2/a^4 + 4/a^2 + z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (6*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[13, NonAlternating, 4717] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   2*z^4 - a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, NonAlternating, 4718] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   5*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^6*z^8, Knot[13, NonAlternating, 4719] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[13, NonAlternating, 4720] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 + a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 + z^4 - 16*a^4*z^4 + 5*a^6*z^4 - 7*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4721] -> 
  a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 
   2*a^4*z^4 + 10*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4722] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (18*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + (30*z^4)/a^6 - 
   (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 4723] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 + z^2/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[13, NonAlternating, 4724] -> 2*a^4 - a^8 + 4*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4725] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 4726] -> 2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - z^4 - 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 4727] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[13, NonAlternating, 4728] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 4729] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 
   2*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 4730] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 4731] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^4 - 
   (4*z^2)/a^2 - (4*z^4)/a^8 + (4*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4732] -> 1 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[13, NonAlternating, 4733] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 2*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4734] -> 2 + a^(-4) - 2/a^2 + 6*z^2 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 + 7*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[13, NonAlternating, 4735] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 4736] -> a^(-6) - a^(-4) + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + z^4/a^2 + 
   z^6/a^2, Knot[13, NonAlternating, 4737] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 
   7*z^2 + (3*z^2)/a^6 - z^2/a^4 - (13*z^2)/a^2 + 5*z^4 + z^4/a^6 - 
   (16*z^4)/a^2 + z^6 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4738] -> 3 + a^(-8) - a^(-4) - 2/a^2 + 4*z^2 + 
   z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 4739] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[13, NonAlternating, 4740] -> 
  3*a^4 - 2*a^6 + 7*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + a^10*z^2 + 3*a^4*z^4 - 
   6*a^6*z^4 - a^8*z^4 + a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 4741] -> 2*a^2 - a^4 - 3*z^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 2*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4742] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 4743] -> 1 + a^2 - 2*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4744] -> -a^(-8) + 2/a^4 + z^2/a^10 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - 
   (2*z^6)/a^6, Knot[13, NonAlternating, 4745] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 4746] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^4*z^2 - z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 4747] -> 
  2*a^6 + a^8 - 2*a^10 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + a^2*z^4 - 3*a^6*z^4 + 4*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[13, NonAlternating, 4748] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 24*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 34*z^4 - z^4/a^4 + (17*z^4)/a^2 + 
   12*a^2*z^4 - 24*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[13, NonAlternating, 4749] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 4750] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 4751] -> 3*a^6 - 3*a^8 + 3*a^10 - 
   2*a^12 + 11*a^6*z^2 - 8*a^8*z^2 + 9*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 
   9*a^8*z^4 + 8*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 5*a^8*z^6 + 2*a^10*z^6 - 
   a^8*z^8, Knot[13, NonAlternating, 4752] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 4753] -> 2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^4 - 
   7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[13, NonAlternating, 4754] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[13, NonAlternating, 4755] -> -2/a^8 + 2/a^6 + a^(-4) - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4756] -> -2 - 3/a^4 + 6/a^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4757] -> 
  -3/a^8 + 4/a^6 - (4*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4758] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^6 - (5*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4759] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   2*z^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[13, NonAlternating, 4760] -> -a^(-8) + 2/a^4 - z^2/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4761] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4762] -> 1 - a^(-8) - a^(-6) + 5/a^4 - 3/a^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4763] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 4764] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + z^4/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4765] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[13, NonAlternating, 4766] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^8 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[13, NonAlternating, 4767] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4768] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[13, NonAlternating, 4769] -> -a^(-8) + 2/a^4 - z^2 + z^2/a^6 + 
   (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4770] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - z^4 + (2*z^4)/a^4 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[13, NonAlternating, 4771] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 5*a^4*z^2 - 2*a^6*z^2 + 
   z^4 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[13, NonAlternating, 4772] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 
   3/a^2 + 2*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4773] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 - 2*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - z^4 + 5*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 4774] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 4775] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 4776] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - (3*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[13, NonAlternating, 4777] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 4778] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4779] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 
   11*a^6*z^4 - 3*a^8*z^4 - 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4780] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4781] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^4 - z^4/a^2 + z^6/a^2, 
 Knot[13, NonAlternating, 4782] -> 2*a^4 - a^6 + a^10 - a^12 + a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 + a^4*z^4 - 
   7*a^6*z^4 + a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 4783] -> -a^2 + 4*a^4 - a^6 - a^8 + 2*z^2 - 
   6*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 + z^4 - 7*a^2*z^4 + 10*a^4*z^4 - 
   3*a^6*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[13, NonAlternating, 4784] -> 3 - 5*a^2 + 4*a^4 - a^6 + 7*z^2 - 
   z^2/a^2 - 13*a^2*z^2 + 6*a^4*z^2 + 6*z^4 - z^4/a^2 - 12*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4785] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + 5*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - 2*a^8*z^4 - 
   3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4786] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4787] -> 2*a^4 - a^8 - z^2 + z^2/a^2 + 3*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 4788] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4789] -> a^(-14) - 7/a^12 + 7/a^10 + z^2/a^14 - 
   (17*z^2)/a^12 + (24*z^2)/a^10 + (6*z^2)/a^8 - (11*z^4)/a^12 + 
   (28*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 4790] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (5*z^2)/a^12 + (5*z^2)/a^10 + (11*z^2)/a^8 + 
   (2*z^2)/a^6 - (2*z^4)/a^12 + (6*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 4791] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 
   9*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 - 
   a^4*z^6 - 2*a^6*z^6, Knot[13, NonAlternating, 4792] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + 20*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   12*z^4 + 33*a^2*z^4 - 17*a^4*z^4 + a^6*z^4 - 6*z^6 + 24*a^2*z^6 - 
   7*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, NonAlternating, 4793] -> 1 + a^2 - a^4 - a^6 + a^8 - 3*z^2 + 
   4*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 
   6*a^4*z^4 - 5*a^6*z^4 - z^6 + 5*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[13, NonAlternating, 4794] -> a^(-14) - 6/a^12 + 5/a^10 + 
   a^(-8) - (8*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   (2*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 4795] -> 
  -2/a^12 + 3/a^8 - (2*z^2)/a^12 + (2*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, NonAlternating, 4796] -> a^4 + 2*a^8 - 2*a^10 + z^2 + a^2*z^2 + 
   a^4*z^2 + 4*a^8*z^2 - a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4, 
 Knot[13, NonAlternating, 4797] -> -5/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + 
   (36*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 4798] -> -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4799] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4800] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4801] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[13, NonAlternating, 4802] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[13, NonAlternating, 4803] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 22*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   5*z^6 + 18*a^2*z^6 - 6*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, NonAlternating, 4804] -> 2/a^14 - 9/a^12 + 8/a^10 + (2*z^2)/a^14 - 
   (21*z^2)/a^12 + (27*z^2)/a^10 + (5*z^2)/a^8 - (13*z^4)/a^12 + 
   (31*z^4)/a^10 + (10*z^4)/a^8 - (2*z^6)/a^12 + (14*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 4805] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 4806] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^12 - (4*z^2)/a^10 + (13*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4807] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4808] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 + 
   z^2/a^2 - 3*a^2*z^2 + 3*a^6*z^2 - z^4 - 3*a^2*z^4 - 2*a^4*z^4, 
 Knot[13, NonAlternating, 4809] -> 3*a^4 - 2*a^6 - z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 
   2*a^4*z^6, Knot[13, NonAlternating, 4810] -> 
  -a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4811] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^2 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - 2*a^2*z^6, Knot[13, NonAlternating, 4812] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 4813] -> 2*a^2 - a^4 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 + 3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4814] -> 1 + a^4 - 2*a^6 + a^8 - 2*z^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[13, NonAlternating, 4815] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 5*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (6*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 4816] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - z^4/a^4 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 4817] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 4818] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (3*z^2)/a^12 + (12*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 - z^4/a^12 + 
   (12*z^4)/a^10 - (21*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 4819] -> 4*a^6 - 3*a^8 - 4*a^4*z^2 + 20*a^6*z^2 - 
   12*a^8*z^2 + 2*a^10*z^2 - 10*a^4*z^4 + 31*a^6*z^4 - 15*a^8*z^4 + 
   a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   a^8*z^8 + a^6*z^10, Knot[13, NonAlternating, 4820] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 4821] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   8*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 4822] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[13, NonAlternating, 4823] -> 
  2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - 3*a^4*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 
   3*a^10*z^2 - 10*a^4*z^4 + 30*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 
   23*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 4824] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 10*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4825] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   (7*z^2)/a^12 + (7*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + 
   (7*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4826] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 + (3*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[13, NonAlternating, 4827] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 6*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 4828] -> 
  1 + a^4 - 2*a^6 + a^8 + 2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 
   8*a^2*z^4 + 4*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4829] -> -1 + a^(-4) + a^4 - z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 4830] -> 3 - a^(-2) - a^2 + 7*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4831] -> -3 - 4/a^4 + 8/a^2 - 8*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (22*z^2)/a^2 - 9*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (27*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 4832] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 3*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4833] -> 
  2 - 3*a^4 + 2*a^6 - 3*z^2 + 8*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 
   20*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[13, NonAlternating, 4834] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, NonAlternating, 4835] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   2*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4836] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[13, NonAlternating, 4837] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   2*a^10*z^2 + 2*a^4*z^4 - 2*a^8*z^4 + a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[13, NonAlternating, 4838] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + 
   (16*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[13, NonAlternating, 4839] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[13, NonAlternating, 4840] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, NonAlternating, 4841] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + 
   (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 4842] -> 
  2 - 3*a^4 + 2*a^6 - z^2 + 4*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 
   8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4843] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 18*z^6 + (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[13, NonAlternating, 4844] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 
   2*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 + 9*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4845] -> -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (21*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (23*z^4)/a^6 - (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[13, NonAlternating, 4846] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 - 
   8*z^4 + z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[13, NonAlternating, 4847] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 + (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   25*z^4 + (9*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 4848] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 6*z^2 + 
   z^2/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 6*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[13, NonAlternating, 4849] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 4850] -> 
  2 - 2*a^4 + a^8 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 - 
   2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[13, NonAlternating, 4851] -> 
  1 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 4852] -> -3/a^8 + 4/a^6 + z^2/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4853] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (9*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[13, NonAlternating, 4854] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   a^10*z^2 - a^2*z^4 + a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4855] -> 2 - a^2 - a^4 + a^6 - 2*z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 17*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   5*z^6 + 17*a^2*z^6 - 6*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, NonAlternating, 4856] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4857] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 4858] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[13, NonAlternating, 4859] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4860] -> -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[13, NonAlternating, 4861] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 4*a^4*z^2 - 
   3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4862] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   5*z^4 + z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 4863] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 4864] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4865] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 7*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[13, NonAlternating, 4866] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4867] -> -3/a^8 + 4/a^6 - z^2/a^12 + (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[13, NonAlternating, 4868] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 3*a^4*z^2 + 
   6*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 
   5*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[13, NonAlternating, 4869] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 4870] -> 
  -a^(-8) + 2/a^4 + z^2 - z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 4871] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[13, NonAlternating, 4872] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   12*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   10*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4873] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 10*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 4874] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 4875] -> 
  -2/a^10 + a^(-8) + 2/a^6 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[13, NonAlternating, 4876] -> 
  3/a^14 - 11/a^12 + 9/a^10 + (2*z^2)/a^14 - (23*z^2)/a^12 + (29*z^2)/a^10 + 
   (4*z^2)/a^8 - (13*z^4)/a^12 + (32*z^4)/a^10 + (10*z^4)/a^8 - 
   (2*z^6)/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 4877] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   (7*z^2)/a^12 + (5*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - (2*z^4)/a^12 + 
   (7*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4878] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 
   z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4879] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   (2*z^2)/a^12 + (7*z^2)/a^8 + (5*z^2)/a^6 + (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4, Knot[13, NonAlternating, 4880] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 9*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 
   8*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 4881] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - (5*z^4)/a^8 + (9*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[13, NonAlternating, 4882] -> -2 + 2/a^2 - a^2 + 3*a^4 - 
   a^6 - 3*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[13, NonAlternating, 4883] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   (8*z^2)/a^12 + (8*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^12 + 
   (9*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4884] -> -a^(-12) + a^(-10) - a^(-6) + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 4885] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[13, NonAlternating, 4886] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 
   3*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[13, NonAlternating, 4887] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, Knot[13, NonAlternating, 4888] -> 
  -2/a^12 + 3/a^8 - (4*z^2)/a^12 + z^2/a^10 + (14*z^2)/a^8 + z^2/a^6 - 
   (2*z^4)/a^12 + (4*z^4)/a^10 + (14*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 4889] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 4*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4890] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 4891] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 4892] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 10*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (11*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4893] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 21*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 6*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[13, NonAlternating, 4894] -> a^(-10) - 8/a^8 + 11/a^6 - 
   3/a^4 + (2*z^2)/a^10 - (17*z^2)/a^8 + (31*z^2)/a^6 - (8*z^2)/a^4 + 
   z^4/a^10 - (16*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 4895] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (23*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 4896] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[13, NonAlternating, 4897] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 4898] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 4899] -> -1 + a^(-2) + a^2 - 11*z^2 + (4*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (8*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   18*z^6 + (5*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 4900] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   (8*z^2)/a^12 + (6*z^2)/a^10 + (13*z^2)/a^8 - (3*z^4)/a^12 + (9*z^4)/a^10 + 
   (14*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 4901] -> 1 + 5*z^2 - z^2/a^4 - z^2/a^2 - 
   3*a^2*z^2 + 8*z^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[13, NonAlternating, 4902] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 5*a^2*z^2 - 14*a^4*z^2 + 20*a^6*z^2 - 
   6*a^8*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4903] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + (6*z^2)/a^8 - (11*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 4904] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - 
   a^2*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4905] -> 
  1 + a^(-6) - 2/a^2 + a^2 + 4*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 
   7*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[13, NonAlternating, 4906] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 3*a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   a^6*z^6 - 2*a^8*z^6, Knot[13, NonAlternating, 4907] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - 
   (29*z^2)/a^4 + (13*z^2)/a^2 - z^4/a^8 + (17*z^4)/a^6 - (39*z^4)/a^4 + 
   (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[13, NonAlternating, 4908] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + z^2/a^14 - (9*z^2)/a^12 + 
   (5*z^2)/a^10 + (14*z^2)/a^8 - (4*z^4)/a^12 + (6*z^4)/a^10 + (18*z^4)/a^8 + 
   (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[13, NonAlternating, 4909] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + 
   (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 4910] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 4911] -> 
  2*a^6 - a^12 + 11*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - 2*a^12*z^2 + 
   11*a^6*z^4 - 13*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 3*a^6*z^6 - 9*a^8*z^6 + 
   3*a^10*z^6 - 2*a^8*z^8, Knot[13, NonAlternating, 4912] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (8*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4913] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 4914] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4915] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 
   z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4, Knot[13, NonAlternating, 4916] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4917] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 18*z^6 + (6*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[13, NonAlternating, 4918] -> 3*a^4 - 4*a^8 + 2*a^10 + 
   2*a^4*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 + 9*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4919] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[13, NonAlternating, 4920] -> a^2 + 2*a^4 - 2*a^6 - a^8 + 
   a^10 + 3*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 4921] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (28*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^8 + (28*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 4922] -> 3 - a^(-2) - a^2 + 8*z^2 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[13, NonAlternating, 4923] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 4924] -> 8 - 3/a^2 - 5*a^2 + a^4 + 17*z^2 - 
   (6*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 + 13*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 4925] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4926] -> a^(-8) - 4/a^6 + 4/a^4 - z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + (3*z^6)/a^4 + z^6/a^2, Knot[13, NonAlternating, 4927] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 
   9*a^8*z^2 - a^10*z^2 + a^2*z^4 - 10*a^6*z^4 + 4*a^8*z^4 - a^4*z^6 - 
   3*a^6*z^6, Knot[13, NonAlternating, 4928] -> 
  9 - 4/a^2 - 4*a^2 + 18*z^2 - (6*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 
   13*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4929] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - (2*z^2)/a^12 + (9*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + (2*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, NonAlternating, 4930] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4931] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[13, NonAlternating, 4932] -> 8 - 3/a^2 - 5*a^2 + a^4 + 
   15*z^2 - z^2/a^4 - (4*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 13*z^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 4933] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4934] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, Knot[13, NonAlternating, 4935] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - (5*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[13, NonAlternating, 4936] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 4937] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4938] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 4939] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 + (4*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2, Knot[13, NonAlternating, 4940] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (21*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + 
   (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 4941] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - 
   (3*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 4942] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 10*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (26*z^2)/a^2 - 8*z^4 + z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[13, NonAlternating, 4943] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + 
   z^2/a^14 - (9*z^2)/a^12 + (3*z^2)/a^10 + (15*z^2)/a^8 - (3*z^4)/a^12 + 
   (3*z^4)/a^10 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 4944] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 4945] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (26*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^10 - (13*z^4)/a^8 + (27*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 4946] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - 
   (3*z^2)/a^12 + (7*z^2)/a^8 + (5*z^2)/a^6 + z^4/a^10 + (6*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, Knot[13, NonAlternating, 4947] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 4948] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[13, NonAlternating, 4949] -> 
  5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 16*a^6*z^2 - 20*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 13*a^6*z^4 - 22*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + 
   3*a^6*z^6 - 11*a^8*z^6 + 3*a^10*z^6 - 2*a^8*z^8, 
 Knot[13, NonAlternating, 4950] -> 3*a^4 - 2*a^6 + 3*a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4951] -> -a^(-12) + a^(-10) + 2/a^8 - 5/a^6 + 
   4/a^4 + (2*z^2)/a^10 + (4*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^6, 
 Knot[13, NonAlternating, 4952] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (7*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4953] -> 4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 
   9*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^2, Knot[13, NonAlternating, 4954] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*a^2*z^2 - 7*a^4*z^2 + 16*a^6*z^2 - 
   6*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[13, NonAlternating, 4955] -> 
  -a^(-4) + 2/a^2 - 5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 4956] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4957] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - z^4 + 7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4958] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[13, NonAlternating, 4959] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + (4*z^4)/a^2 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 4960] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 7*a^2*z^2 - 
   16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 8*a^2*z^4 - 23*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, NonAlternating, 4961] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + (5*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   22*z^4 + (8*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 18*z^6 + (5*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[13, NonAlternating, 4962] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*z^4 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   4*z^6 + 11*a^2*z^6 - 5*a^4*z^6 - z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, NonAlternating, 4963] -> -a^(-4) + 2/a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - a^2*z^6, Knot[13, NonAlternating, 4964] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 - a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 4965] -> 2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[13, NonAlternating, 4966] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 4967] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   6*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 8*a^2*z^4 - 22*a^4*z^4 + 
   13*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[13, NonAlternating, 4968] -> 
  -4 + 3/a^2 + a^2 + a^4 - 11*z^2 + (5*z^2)/a^2 + 2*a^4*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[13, NonAlternating, 4969] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 11*a^6*z^2 - 
   8*a^8*z^2 + 8*a^10*z^2 - 3*a^12*z^2 + 11*a^6*z^4 - 13*a^8*z^4 + 
   10*a^10*z^4 - a^12*z^4 + 3*a^6*z^6 - 9*a^8*z^6 + 3*a^10*z^6 - 2*a^8*z^8, 
 Knot[13, NonAlternating, 4970] -> -5/a^12 + 6/a^10 - (14*z^2)/a^12 + 
   (23*z^2)/a^10 + (6*z^2)/a^8 - (10*z^4)/a^12 + (28*z^4)/a^10 + 
   (11*z^4)/a^8 - (2*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[13, NonAlternating, 4971] -> -4/a^12 + 4/a^10 + a^(-8) - 
   (6*z^2)/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + 
   (7*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4972] -> -3/a^12 + 2/a^10 + 2/a^8 - 
   (5*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - (2*z^4)/a^12 + 
   (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[13, NonAlternating, 4973] -> a^(-14) - 7/a^12 + 7/a^10 + 
   z^2/a^14 - (15*z^2)/a^12 + (20*z^2)/a^10 + (8*z^2)/a^8 - (10*z^4)/a^12 + 
   (24*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 4974] -> 
  3/a^6 - 7/a^4 + 5/a^2 - z^2/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - 
   (19*z^2)/a^4 + (10*z^2)/a^2 + (3*z^4)/a^8 - (19*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[13, NonAlternating, 4975] -> -3/a^12 + 3/a^10 + a^(-6) - (2*z^2)/a^12 + 
   (5*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[13, NonAlternating, 4976] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   8*z^4 + 21*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, NonAlternating, 4977] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[13, NonAlternating, 4978] -> 
  2 - 3*a^4 + 2*a^6 + 4*z^2 - (3*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[13, NonAlternating, 4979] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[13, NonAlternating, 4980] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 6*z^6 - (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 4981] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 4982] -> 2*a^2 - 2*a^6 + a^8 - 3*z^2 + 6*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 8*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 4983] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 
   6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 7*a^2*z^4 - 17*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 + 5*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^4*z^10, Knot[13, NonAlternating, 4984] -> 
  a^2 + a^6 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[13, NonAlternating, 4985] -> 
  6*a^6 - 7*a^8 + 2*a^10 - 3*a^4*z^2 + 18*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 
   5*a^4*z^4 + 20*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^6*z^8, Knot[13, NonAlternating, 4986] -> 
  -1 + a^(-4) + a^4 + z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[13, NonAlternating, 4987] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[13, NonAlternating, 4988] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 4989] -> -a^(-10) + a^(-8) + a^(-2) + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 4990] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4991] -> 2/a^14 - 9/a^12 + 8/a^10 + z^2/a^14 - 
   (18*z^2)/a^12 + (24*z^2)/a^10 + (6*z^2)/a^8 - (11*z^4)/a^12 + 
   (28*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[13, NonAlternating, 4992] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - (8*z^2)/a^12 + (10*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - (2*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 4993] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[13, NonAlternating, 4994] -> -2/a^12 + 3/a^8 - (5*z^2)/a^12 + 
   (4*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^12 + (6*z^4)/a^10 + 
   (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 4995] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + z^2 + 
   (4*z^2)/a^8 - z^2/a^6 + z^2/a^2 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[13, NonAlternating, 4996] -> -2/a^12 + a^(-10) + a^(-8) + a^(-6) - 
   (2*z^2)/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[13, NonAlternating, 4997] -> a^(-4) - 2*a^2 + 2*a^4 + z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[13, NonAlternating, 4998] -> a^6 + 2*a^8 - a^10 - a^12 + 
   6*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 - 3*a^12*z^2 + 7*a^6*z^4 + 6*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[13, NonAlternating, 4999] -> -1 + 3*a^2 - a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*z^6 - 3*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 5000] -> 
  2*a^2 - a^4 - 4*z^2 + 9*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 5001] -> 2 - a^2 - a^4 + a^6 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 4*z^6 + 
   12*a^2*z^6 - 5*a^4*z^6 - z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[13, NonAlternating, 5002] -> -7 + 4/a^2 + 4*a^2 - 16*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (8*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 6*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 5003] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 5004] -> 
  1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[13, NonAlternating, 5005] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   2*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 5006] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[13, NonAlternating, 5007] -> 2*a^6 - a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, Knot[13, NonAlternating, 5008] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 5009] -> 
  1 - a^(-8) - a^(-6) + 5/a^4 - 3/a^2 + 2*z^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 5010] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 5011] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 5012] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[13, NonAlternating, 5013] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 8*a^4*z^2 + 30*a^6*z^2 - 14*a^8*z^2 + a^10*z^2 - 
   11*a^4*z^4 + 37*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 
   7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[13, NonAlternating, 5014] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 2*a^2*z^2 + 
   4*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   10*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[13, NonAlternating, 5015] -> 
  2/a^10 - 11/a^8 + 14/a^6 - 4/a^4 + (2*z^2)/a^10 - (21*z^2)/a^8 + 
   (38*z^2)/a^6 - (11*z^2)/a^4 + z^4/a^10 - (17*z^4)/a^8 + (42*z^4)/a^6 - 
   (12*z^4)/a^4 - (7*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[13, NonAlternating, 5016] -> 
  -a^(-16) + 6/a^14 - 14/a^12 + 10/a^10 + (6*z^2)/a^14 - (34*z^2)/a^12 + 
   (40*z^2)/a^10 + z^4/a^14 - (28*z^4)/a^12 + (57*z^4)/a^10 - (9*z^6)/a^12 + 
   (36*z^6)/a^10 - z^8/a^12 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[13, NonAlternating, 5017] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 17*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 + (8*z^4)/a^2 + 
   5*a^2*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 5018] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   z^2/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - z^4/a^4 + (2*z^6)/a^6, Knot[13, NonAlternating, 5019] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 9*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (25*z^2)/a^2 - 6*z^4 - (8*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + z^8/a^2, Knot[13, NonAlternating, 5020] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (19*z^2)/a^8 + (15*z^2)/a^6 + (3*z^4)/a^10 - (10*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 5021] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 10*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + 
   (28*z^2)/a^2 - 8*z^4 + z^4/a^6 - (13*z^4)/a^4 + (27*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[13, NonAlternating, 5022] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (24*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[13, NonAlternating, 5023] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^14 - (11*z^2)/a^12 + 
   (8*z^2)/a^10 + (13*z^2)/a^8 - (4*z^4)/a^12 + (7*z^4)/a^10 + (18*z^4)/a^8 + 
   (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[13, NonAlternating, 5024] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (16*z^2)/a^8 + (21*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 5025] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   (3*z^2)/a^12 - (2*z^2)/a^10 + (12*z^2)/a^8 + (3*z^2)/a^6 + (10*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, Knot[13, NonAlternating, 5026] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[13, NonAlternating, 5027] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (11*z^2)/a^6 + (8*z^2)/a^4 + (8*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 + 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[13, NonAlternating, 5028] -> a^(-8) - 4/a^6 + 4/a^4 - 3*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[13, NonAlternating, 5029] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   2*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[13, NonAlternating, 5030] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[13, NonAlternating, 5031] -> 
  a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 - z^4 + 2*a^4*z^4, Knot[13, NonAlternating, 5032] -> 
  2 + a^(-6) - 2/a^2 - a^2 + a^4 + 4*z^2 - z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^4 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[13, NonAlternating, 5033] -> 4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 
   11*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   10*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[13, NonAlternating, 5034] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (13*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[13, NonAlternating, 5035] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 10*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (12*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[13, NonAlternating, 5036] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 
   z^2 - 3*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[13, NonAlternating, 5037] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   (5*z^2)/a^12 + (14*z^2)/a^8 + z^2/a^6 - (2*z^4)/a^12 + (4*z^4)/a^10 + 
   (14*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 5038] -> 1 + a^2 - a^4 - a^6 + a^8 - 2*z^2 + 
   3*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[13, NonAlternating, 5039] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^4 - 2*a^4*z^2 + z^4 + (2*z^4)/a^2 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[13, NonAlternating, 5040] -> 
  2*a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[13, NonAlternating, 5041] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^2 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[13, NonAlternating, 5042] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 + 2*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[13, NonAlternating, 5043] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + 
   z^2/a^14 - (7*z^2)/a^12 + z^2/a^10 + (16*z^2)/a^8 - (3*z^4)/a^12 + 
   (2*z^4)/a^10 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 5044] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (25*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[13, NonAlternating, 5045] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (19*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 5046] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + 
   a^(-6) - (3*z^2)/a^12 + (2*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 + 
   z^4/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 5047] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 5048] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 5049] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   13*a^6*z^2 - 12*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 12*a^6*z^4 - 
   17*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + 3*a^6*z^6 - 10*a^8*z^6 + 
   3*a^10*z^6 - 2*a^8*z^8, Knot[13, NonAlternating, 5050] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 13*a^6*z^2 - 12*a^8*z^2 + 10*a^10*z^2 - 
   3*a^12*z^2 + 12*a^6*z^4 - 17*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + 
   3*a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 - 2*a^8*z^8, 
 Knot[13, NonAlternating, 5051] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 
   3*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 
   a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[13, NonAlternating, 5052] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 2*a^4*z^2 + 
   15*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 5*a^4*z^4 + 19*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[13, NonAlternating, 5053] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + 3*z^4 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[13, NonAlternating, 5054] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 3*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   a^6*z^6 - 2*a^8*z^6, Knot[13, NonAlternating, 5055] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 5056] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 7*a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 
   5*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[13, NonAlternating, 5057] -> a^(-10) - 2/a^8 + a^(-4) + 
   a^(-2) + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[13, NonAlternating, 5058] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[13, NonAlternating, 5059] -> -a^4 + 6*a^6 - 4*a^8 - 5*a^4*z^2 + 
   22*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 6*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[13, NonAlternating, 5060] -> 4*a^6 - 3*a^8 - a^2*z^2 + 2*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 
   3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[13, NonAlternating, 5061] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[13, NonAlternating, 5062] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 
   15*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 + a^8*z^2 - 5*z^4 + 15*a^2*z^4 - 
   4*a^4*z^4 - 2*a^6*z^4 - z^6 + 7*a^2*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 5063] -> -3/a^12 + 2/a^10 + 2/a^8 - (6*z^2)/a^12 + 
   (6*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 5064] -> -a^(-16) + 6/a^14 - 14/a^12 + 10/a^10 + 
   (5*z^2)/a^14 - (27*z^2)/a^12 + (29*z^2)/a^10 + (5*z^2)/a^8 - 
   (15*z^4)/a^12 + (31*z^4)/a^10 + (10*z^4)/a^8 - (2*z^6)/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 5065] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   6*a^4*z^2 + 25*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 6*a^4*z^4 + 25*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[13, NonAlternating, 5066] -> 4 - 2/a^2 - a^4 + 2*z^2 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 5067] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 15*z^2 - (5*z^2)/a^2 - 12*a^2*z^2 + 3*a^4*z^2 + 
   12*z^4 - (2*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[13, NonAlternating, 5068] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 4*z^2 + (5*z^2)/a^4 - (12*z^2)/a^2 + 6*z^4 + 
   (2*z^4)/a^4 - (11*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[13, NonAlternating, 5069] -> 1 + a^(-6) - 2/a^2 + a^2 + z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[13, NonAlternating, 5070] -> 
  -a^(-4) + 2/a^2 - 6*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 
   9*z^4 + z^4/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[13, NonAlternating, 5071] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (10*z^4)/a^10 - 
   (18*z^4)/a^8 + (12*z^4)/a^6 + (3*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[13, NonAlternating, 5072] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 5073] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[13, NonAlternating, 5074] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 - (6*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - 
   (4*z^4)/a^8 + z^4/a^6 - (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 5075] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^12 + 
   (10*z^2)/a^10 - (19*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + (11*z^4)/a^10 - 
   (22*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[13, NonAlternating, 5076] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 5077] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, Knot[13, NonAlternating, 5078] -> 
  7 - 3/a^2 - 3*a^2 + 8*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[13, NonAlternating, 5079] -> 2 - a^(-2) + a^2 - a^4 - z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[13, NonAlternating, 5080] -> 
  3/a^10 - 9/a^8 + 7/a^6 - (2*z^2)/a^12 + (11*z^2)/a^10 - (23*z^2)/a^8 + 
   (17*z^2)/a^6 - z^4/a^12 + (11*z^4)/a^10 - (23*z^4)/a^8 + (13*z^4)/a^6 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[13, NonAlternating, 5081] -> 2/a^6 - 5/a^4 + 4/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 11*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 5082] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 5083] -> a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 - (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[13, NonAlternating, 5084] -> 2*a^2 - a^4 - 3*z^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[13, NonAlternating, 5085] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 - z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[13, NonAlternating, 5086] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[13, NonAlternating, 5087] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[13, NonAlternating, 5088] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + 
   7*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[13, NonAlternating, 5089] -> 2 + 2/a^6 - 3/a^4 - z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (16*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[13, NonAlternating, 5090] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[13, NonAlternating, 5091] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[13, NonAlternating, 5092] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[13, NonAlternating, 5093] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[13, NonAlternating, 5094] -> 
  a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - (9*z^2)/a^12 + (12*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^12 + (11*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 5095] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (15*z^2)/a^8 + (23*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^10 - 
   (16*z^4)/a^8 + (35*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[13, NonAlternating, 5096] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[13, NonAlternating, 5097] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - 2*z^2 - 
   (3*z^2)/a^8 + (6*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[13, NonAlternating, 5098] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[13, NonAlternating, 5099] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[13, NonAlternating, 5100] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[13, NonAlternating, 5101] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[13, NonAlternating, 5102] -> 
  -5/a^12 + 6/a^10 - (12*z^2)/a^12 + (19*z^2)/a^10 + (8*z^2)/a^8 - 
   (9*z^4)/a^12 + (24*z^4)/a^10 + (12*z^4)/a^8 - (2*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[13, NonAlternating, 5103] -> -4/a^12 + 4/a^10 + a^(-8) - (6*z^2)/a^12 + 
   (10*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (2*z^4)/a^12 + (8*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[13, NonAlternating, 5104] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[13, NonAlternating, 5105] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (2*z^2)/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[13, NonAlternating, 5106] -> a^(-12) - 6/a^10 + 6/a^8 + 
   z^2/a^14 - (4*z^2)/a^12 - (6*z^2)/a^10 + (18*z^2)/a^8 - (3*z^4)/a^12 + 
   (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[13, NonAlternating, 5107] -> a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - 
   (22*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[13, NonAlternating, 5108] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 + (3*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^6 - (3*z^6)/a^4, Knot[13, NonAlternating, 5109] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + 
   (9*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (7*z^4)/a^2 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[13, NonAlternating, 5110] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + z^2 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - (3*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 1] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2] -> 1 + a^(-10) - 6/a^8 + 10/a^6 - 6/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (21*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 3] -> -2 + 11*a^2 - 16*a^4 + 11*a^6 - 
   3*a^8 - 8*z^2 + 31*a^2*z^2 - 40*a^4*z^2 + 21*a^6*z^2 - 3*a^8*z^2 - 
   10*z^4 + 36*a^2*z^4 - 39*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   22*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4] -> 4 - a^(-2) - 2*a^2 - 2*a^4 + 3*a^6 - 
   a^8 + 8*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   8*z^4 - (3*z^4)/a^2 - 8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5] -> 
  4 + a^(-4) - 2/a^2 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 9*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - 12*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 6] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7] -> 
  -1 + 8*a^2 - 12*a^4 + 8*a^6 - 2*a^8 - 7*z^2 + 26*a^2*z^2 - 34*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 33*a^2*z^4 - 36*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 9] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 
   3*a^2 - 21*z^2 + (6*z^2)/a^6 - (23*z^2)/a^4 + (34*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 + (8*z^4)/a^6 - (31*z^4)/a^4 + (37*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 10] -> 
  -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 + z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11] -> 
  2 - a^(-4) + 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12] -> 
  5 + a^(-6) - 2/a^4 - 5*a^2 + 2*a^4 + 10*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 13] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 14] -> 1 + a^(-10) - 6/a^8 + 10/a^6 - 6/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (21*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 15] -> -2 + 11*a^2 - 16*a^4 + 11*a^6 - 
   3*a^8 - 8*z^2 + 31*a^2*z^2 - 40*a^4*z^2 + 21*a^6*z^2 - 3*a^8*z^2 - 
   10*z^4 + 36*a^2*z^4 - 39*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   22*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 16] -> -15 - 2/a^4 + 9/a^2 + 13*a^2 - 
   4*a^4 - 40*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 30*a^2*z^2 - 7*a^4*z^2 - 
   43*z^4 - (3*z^4)/a^4 + (22*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 24*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 17] -> 
  -11 + 4/a^2 + 15*a^2 - 10*a^4 + 3*a^6 - 27*z^2 + (6*z^2)/a^2 + 38*a^2*z^2 - 
   26*a^4*z^2 + 6*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 41*a^2*z^4 - 25*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + z^6/a^2 + 23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 18] -> 
  3 + 2/a^4 - 4/a^2 + 2*a^2 - 4*a^4 + 2*a^6 + 5*z^2 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 19] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 20] -> 
  1 + a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 - a^2 + a^4 + 3*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 21] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 22] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 18*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 23] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - 
   (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 24] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 25] -> 1 + a^2 - 6*a^4 + 10*a^6 - 6*a^8 + a^10 + 
   3*z^2 - a^2*z^2 - 14*a^4*z^2 + 22*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   4*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   8*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 26] -> -2 - 3/a^8 + 11/a^6 - 16/a^4 + 11/a^2 - 5*z^2 - 
   (5*z^2)/a^8 + (26*z^2)/a^6 - (41*z^2)/a^4 + (26*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (43*z^4)/a^4 + (24*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (23*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 27] -> 
  4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 8*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 28] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 24*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 29] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 30] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 31] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   6*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   7*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 32] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 19*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 24*z^4 + (6*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 33] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 7*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 34] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 35] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 36] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 37] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 38] -> -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 24*z^2 + 
   (6*z^2)/a^2 + 32*a^2*z^2 - 21*a^4*z^2 + 5*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 
   37*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 39] -> -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 26*z^2 + 
   (4*z^2)/a^6 - (20*z^2)/a^4 + (32*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + 
   (3*z^4)/a^6 - (21*z^4)/a^4 + (39*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 40] -> 
  -11 - a^(-4) + 6/a^2 + 10*a^2 - 3*a^4 - 34*z^2 - (4*z^2)/a^4 + 
   (19*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 39*z^4 - (3*z^4)/a^4 + 
   (21*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 41] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 42] -> -2 + 2/a^6 - 5/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 
   z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 43] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 44] -> -4 + 2/a^6 - 6/a^4 + 8/a^2 + a^4 - 9*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 + z^4/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 45] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 46] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 4*z^2 - 
   (5*z^2)/a^8 + (23*z^2)/a^6 - (35*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (39*z^4)/a^4 + (22*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 47] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 - a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 48] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 49] -> 
  4 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 - 2*a^2 + a^4 + 7*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (10*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 50] -> 
  a^(-14) - 6/a^12 + 13/a^10 - 14/a^8 + 6/a^6 + a^(-4) + z^2/a^14 - 
   (10*z^2)/a^12 + (28*z^2)/a^10 - (30*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^12 + (22*z^4)/a^10 - (28*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 51] -> 
  -18 - 2/a^4 + 10/a^2 + 16*a^2 - 5*a^4 - 46*z^2 - (5*z^2)/a^4 + 
   (26*z^2)/a^2 + 33*a^2*z^2 - 7*a^4*z^2 - 46*z^4 - (4*z^4)/a^4 + 
   (25*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 24*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 52] -> -2 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + a^4 - 
   5*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 53] -> 
  2 - a^(-6) + 4/a^4 - 5/a^2 + 2*a^2 - a^4 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 54] -> 
  -18 - 2/a^4 + 10/a^2 + 16*a^2 - 5*a^4 - 46*z^2 - (5*z^2)/a^4 + 
   (26*z^2)/a^2 + 33*a^2*z^2 - 7*a^4*z^2 - 46*z^4 - (4*z^4)/a^4 + 
   (25*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 24*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 55] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 - a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 56] -> 
  2 - 2*a^2 + 2*a^4 - 3*a^6 + 3*a^8 - a^10 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 
   6*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 57] -> 2 - 3/a^8 + 6/a^6 - 2/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 58] -> -1 - 2/a^8 + 4/a^6 - 2/a^4 + a^(-2) + a^2 - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 59] -> 2 - 4*a^2 + 6*a^4 - 5*a^6 + 3*a^8 - 
   a^10 + 5*z^2 - z^2/a^2 - 10*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 
   4*z^4 - z^4/a^2 - 9*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 60] -> 
  3 - a^(-4) + a^(-2) - 4*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 61] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 
   2*z^2 - 6*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   7*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 62] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 5*a^2*z^2 - 14*a^4*z^2 + 
   18*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 21*a^4*z^4 + 
   25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 63] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 64] -> 
  -9 + 3/a^2 + 12*a^2 - 6*a^4 + a^6 - 26*z^2 + (7*z^2)/a^2 + 33*a^2*z^2 - 
   18*a^4*z^2 + 4*a^6*z^2 - 26*z^4 + (5*z^4)/a^2 + 36*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + z^6/a^2 + 21*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 65] -> 
  -2 + a^(-4) - a^(-2) + 6*a^2 - 4*a^4 + a^6 - 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 66] -> 
  -13 + 4/a^2 + 19*a^2 - 12*a^4 + 3*a^6 - 32*z^2 + (8*z^2)/a^2 + 44*a^2*z^2 - 
   27*a^4*z^2 + 6*a^6*z^2 - 29*z^4 + (5*z^4)/a^2 + 43*a^2*z^4 - 25*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + z^6/a^2 + 23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 67] -> 
  5 + 2/a^4 - 5/a^2 - 2*a^4 + a^6 + 9*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 + 
   a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 + z^4/a^4 - (8*z^4)/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 68] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, Alternating, 69] -> 7 + 2/a^4 - 5/a^2 - 5*a^2 + 2*a^4 + 
   13*z^2 - z^2/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 11*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 70] -> 
  1 - 4/a^8 + 9/a^6 - 6/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (20*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 71] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 72] -> 
  7*a^6 - 12*a^8 + 9*a^10 - 3*a^12 - 3*a^4*z^2 + 26*a^6*z^2 - 34*a^8*z^2 + 
   21*a^10*z^2 - 4*a^12*z^2 - 7*a^4*z^4 + 32*a^6*z^4 - 37*a^8*z^4 + 
   15*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 20*a^6*z^6 - 18*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 73] -> 2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 - 
   a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 10*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 74] -> 4 - 2/a^6 + 6/a^4 - 6/a^2 - 2*a^2 + a^4 + 
   8*z^2 + z^2/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 75] -> 4*a^4 - 5*a^6 + 2*a^8 + a^10 - a^12 - 
   2*a^2*z^2 + 11*a^4*z^2 - 8*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 76] -> 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 2*a^10 - a^12 - 
   z^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - z^4 + 
   2*a^2*z^4 - a^4*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 77] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 
   19*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 24*a^2*z^4 - 
   28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 78] -> 1 - a^4 + 2*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 79] -> 3 - a^(-4) + a^(-2) - 4*a^2 + 
   3*a^4 - a^6 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 80] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 18*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (5*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 81] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 82] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 5*a^2*z^2 - 14*a^4*z^2 + 
   18*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 21*a^4*z^4 + 
   25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 83] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 84] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 19*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 24*z^4 + (6*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 85] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 7*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 86] -> 2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - 
   a^2 + 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 87] -> -15 - 2/a^4 + 9/a^2 + 13*a^2 - 
   4*a^4 - 40*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 30*a^2*z^2 - 7*a^4*z^2 - 
   43*z^4 - (3*z^4)/a^4 + (22*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 24*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 88] -> 
  1 + a^2 - 6*a^4 + 10*a^6 - 6*a^8 + a^10 + 3*z^2 - a^2*z^2 - 14*a^4*z^2 + 
   22*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 3*z^4 - 4*a^2*z^4 - 15*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 89] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 90] -> -11 + 4/a^2 + 15*a^2 - 10*a^4 + 3*a^6 - 
   27*z^2 + (6*z^2)/a^2 + 38*a^2*z^2 - 26*a^4*z^2 + 6*a^6*z^2 - 25*z^4 + 
   (4*z^4)/a^2 + 41*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 91] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 
   3*a^2 - 18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 92] -> 
  -2 - 3/a^8 + 11/a^6 - 16/a^4 + 11/a^2 - 5*z^2 - (5*z^2)/a^8 + 
   (26*z^2)/a^6 - (41*z^2)/a^4 + (26*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (24*z^4)/a^6 - (43*z^4)/a^4 + (24*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (23*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 93] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 94] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 18*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 95] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 96] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 97] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 18*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 98] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 99] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 100] -> 1 + a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 - a^2 + 
   a^4 + 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 101] -> 2 - 2*a^2 + 2*a^4 - 3*a^6 + 3*a^8 - a^10 + 
   3*z^2 - z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 102] -> 
  2 - 3/a^8 + 6/a^6 - 2/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (14*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 103] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 104] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 19*a^2*z^2 - 24*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 24*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 105] -> 
  1 - a^4 + 2*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 106] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 107] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 108] -> 5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 
   3*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 109] -> -14 - 3/a^4 + 11/a^2 + 9*a^2 - 2*a^4 - 
   36*z^2 - (8*z^2)/a^4 + (29*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 36*z^4 - 
   (9*z^4)/a^4 + (34*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 110] -> -11 + 2/a^6 - 8/a^4 + 14/a^2 + 4*a^2 - 
   23*z^2 + (6*z^2)/a^6 - (25*z^2)/a^4 + (36*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (8*z^4)/a^6 - (31*z^4)/a^4 + (38*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 111] -> 
  3 + a^(-6) - 2/a^4 + a^(-2) - 4*a^2 + 2*a^4 + 7*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 112] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 15*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 113] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 2*z^4 - 6*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 114] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 115] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 20*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 116] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 117] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 118] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 119] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4/a^4 + 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 120] -> 
  -14 - 2/a^4 + 9/a^2 + 11*a^2 - 3*a^4 - 37*z^2 - (4*z^2)/a^4 + 
   (21*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 40*z^4 - (3*z^4)/a^4 + 
   (21*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 121] -> 1 + 2*a^2 - 8*a^4 + 11*a^6 - 6*a^8 + a^10 + 
   2*z^2 + 2*a^2*z^2 - 18*a^4*z^2 + 23*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 
   2*z^4 - a^2*z^4 - 17*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 122] -> -11 + 4/a^2 + 14*a^2 - 8*a^4 + 2*a^6 - 
   26*z^2 + (6*z^2)/a^2 + 35*a^2*z^2 - 22*a^4*z^2 + 5*a^6*z^2 - 24*z^4 + 
   (4*z^4)/a^2 + 38*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 123] -> -2 - 3/a^8 + 10/a^6 - 14/a^4 + 
   10/a^2 - 5*z^2 - (4*z^2)/a^8 + (23*z^2)/a^6 - (37*z^2)/a^4 + 
   (25*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (21*z^4)/a^6 - (41*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - (23*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 124] -> 3 + 2/a^4 - 4/a^2 + a^2 - 2*a^4 + a^6 + 
   6*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   6*z^4 + z^4/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 125] -> 4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 8*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 126] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 127] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 32*z^2 - 
   (7*z^2)/a^4 + (25*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 35*z^4 - 
   (9*z^4)/a^4 + (33*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 128] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 10*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 129] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 24*z^2 + (6*z^2)/a^2 + 32*a^2*z^2 - 
   18*a^4*z^2 + 3*a^6*z^2 - 32*z^4 + (9*z^4)/a^2 + 36*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 130] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 2*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 131] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 10*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 
   5*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 132] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 133] -> 
  1 + a^(-10) - 6/a^8 + 11/a^6 - 8/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (24*z^2)/a^6 - (15*z^2)/a^4 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 134] -> -2 + 10*a^2 - 14*a^4 + 10*a^6 - 3*a^8 - 
   7*z^2 + 28*a^2*z^2 - 36*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 
   33*a^2*z^4 - 37*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 
   17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 135] -> 4 - a^(-2) - 3*a^2 + 2*a^6 - a^8 + 9*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 136] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^12 + (7*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + z^4/a^12 + (5*z^4)/a^10 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 137] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + 
   (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 138] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 
   4*a^4 - 3*a^6 + a^8 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 
   9*a^4*z^2 - 4*a^6*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 139] -> -2 - a^(-4) + 3/a^2 + a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - 
   (5*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 140] -> -2 + a^(-4) - a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 141] -> a^(-4) - a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 
   2*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 142] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 143] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 144] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 145] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 20*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - 
   (6*z^4)/a^4 + (23*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 146] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   25*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 147] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 148] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 149] -> -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 
   6*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   2*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 150] -> a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 
   3*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 151] -> a^(-6) - 2/a^4 + 2/a^2 - a^4 + a^6 + 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - 3*a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 152] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 153] -> 3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 5*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 154] -> 
  -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 22*z^2 + (5*z^2)/a^2 + 30*a^2*z^2 - 
   21*a^4*z^2 + 5*a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 37*a^2*z^4 - 23*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + z^6/a^2 + 22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 155] -> 
  -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 156] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 157] -> 
  2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 158] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 159] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   33*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 22*a^2*z^2 - 5*a^4*z^2 - 38*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 160] -> -6 + 3/a^2 + 5*a^2 - a^4 - 11*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 161] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 23*z^2 + 
   (6*z^2)/a^2 + 30*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 
   36*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 162] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 32*z^2 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 39*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 163] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 164] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 165] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 17*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 166] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 17*a^4*z^2 + 
   22*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + 6*a^2*z^4 - 24*a^4*z^4 + 
   27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 167] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 168] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 169] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 170] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 171] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 172] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 173] -> 
  3 - 4*a^2 + 2*a^4 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 9*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 174] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 4*z^2 - 
   (4*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 175] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 - a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 176] -> 
  1 - 2*a^2 + 5*a^4 - 5*a^6 + 3*a^8 - a^10 + 3*z^2 - 8*a^2*z^2 + 12*a^4*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 - 9*a^2*z^4 + 9*a^4*z^4 - 
   6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 177] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   4*a^2*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 178] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 179] -> a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 4/a^6 + 
   a^(-4) - (6*z^2)/a^12 + (19*z^2)/a^10 - (20*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (13*z^4)/a^10 - (20*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 + z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 180] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 181] -> -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 
   36*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 29*a^2*z^2 - 7*a^4*z^2 - 41*z^4 - 
   (2*z^4)/a^4 + (19*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 24*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 182] -> 1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - 
   a^2 + a^4 + z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 183] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 184] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 185] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 186] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (21*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 187] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 3*a^4 - 2*a^6 + 
   a^8 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 
   9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 188] -> 
  4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 + 7*a^2*z^2 - 21*a^4*z^2 + 
   26*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 6*a^2*z^4 - 25*a^4*z^4 + 
   28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 189] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + 3*z^2 - 
   8*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   7*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 190] -> 
  -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 6*z^2 + 22*a^2*z^2 - 28*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 27*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 191] -> 
  -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 192] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 193] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 194] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 195] -> -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 196] -> 
  -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 6*z^2 + 22*a^2*z^2 - 28*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 27*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 197] -> 
  5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 7*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 198] -> -1 + a^(-10) - 3/a^8 + 4/a^6 - 
   3/a^4 + 2/a^2 + a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 199] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 200] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 201] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 202] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 203] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 204] -> 3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 5*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 205] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 21*z^2 + (5*z^2)/a^6 - (21*z^2)/a^4 + 
   (31*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (37*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 206] -> -4 + a^(-8) - 2/a^6 + 4/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 207] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + z^4/a^2 - 
   4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 208] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (14*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 209] -> 6*a^6 - 10*a^8 + 8*a^10 - 3*a^12 - 2*a^4*z^2 + 
   24*a^6*z^2 - 32*a^8*z^2 + 21*a^10*z^2 - 4*a^12*z^2 - 7*a^4*z^4 + 
   31*a^6*z^4 - 37*a^8*z^4 + 15*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 
   20*a^6*z^6 - 18*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 210] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 4*a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 211] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 8*z^2 - 
   (3*z^2)/a^2 - 12*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 212] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 - 
   a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 7*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 213] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + 3*a^10*z^2 - z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 214] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 17*a^2*z^2 - 22*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 215] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 17*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 216] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 17*a^4*z^2 + 
   22*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + 6*a^2*z^4 - 24*a^4*z^4 + 
   27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 217] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 12*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 218] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 
   2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 219] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 220] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 221] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 
   11*z^2 - z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 11*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 222] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^4 - a^6 - 4*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 223] -> -2 + 8*a^2 - 10*a^4 + 8*a^6 - 
   3*a^8 - 5*z^2 + 21*a^2*z^2 - 26*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   24*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 224] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 225] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 226] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 227] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 
   z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 228] -> -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 229] -> 
  a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 3*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 230] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 231] -> 
  2 - 2*a^2 + a^4 + z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 232] -> 
  2 - 2/a^8 + 6/a^6 - 7/a^4 + 3/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 233] -> 6*a^2 - 15*a^4 + 18*a^6 - 10*a^8 + 2*a^10 + 
   13*a^2*z^2 - 39*a^4*z^2 + 43*a^6*z^2 - 19*a^8*z^2 + 3*a^10*z^2 + 
   11*a^2*z^4 - 42*a^4*z^4 + 39*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   23*a^4*z^6 + 17*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 234] -> 2 - 2*a^2 - a^4 + 5*a^6 - 4*a^8 + 
   a^10 + 4*z^2 - 8*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   3*z^4 - 9*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 235] -> 
  1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + a^4 + z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 236] -> 1 + 2*a^2 - 8*a^4 + 11*a^6 - 6*a^8 + a^10 + 
   2*z^2 + 3*a^2*z^2 - 19*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 - 
   17*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 7*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 237] -> 
  2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 238] -> -3 + 13*a^2 - 18*a^4 + 13*a^6 - 4*a^8 - 
   9*z^2 + 35*a^2*z^2 - 44*a^4*z^2 + 25*a^6*z^2 - 4*a^8*z^2 - 10*z^4 + 
   38*a^2*z^4 - 42*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 
   18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 239] -> 3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 8*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 240] -> 
  -2 + 10*a^2 - 14*a^4 + 10*a^6 - 3*a^8 - 7*z^2 + 26*a^2*z^2 - 32*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 28*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 241] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 242] -> -10 + 4/a^2 + 13*a^2 - 9*a^4 + 3*a^6 - 
   24*z^2 + (5*z^2)/a^2 + 34*a^2*z^2 - 25*a^4*z^2 + 6*a^6*z^2 - 22*z^4 + 
   (3*z^4)/a^2 + 39*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 243] -> -13 - 2/a^4 + 8/a^2 + 12*a^2 - 
   4*a^4 - 36*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 29*a^2*z^2 - 7*a^4*z^2 - 
   41*z^4 - (2*z^4)/a^4 + (19*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 24*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 244] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 12*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 245] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 246] -> 
  3 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - 2*a^2 + a^4 + 7*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 247] -> 
  1 + a^2 - 5*a^4 + 8*a^6 - 5*a^8 + a^10 + 3*z^2 - 2*a^2*z^2 - 12*a^4*z^2 + 
   20*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 3*z^4 - 4*a^2*z^4 - 14*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 248] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 249] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 250] -> 
  2*a^2 - 4*a^6 + 5*a^8 - 2*a^10 - 2*z^2 + 6*a^2*z^2 + a^4*z^2 - 11*a^6*z^2 + 
   9*a^8*z^2 - a^10*z^2 - 3*z^4 + 6*a^2*z^4 + 2*a^4*z^4 - 11*a^6*z^4 + 
   3*a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 251] -> 1 - a^6 + 2*a^8 - a^10 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 252] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 
   2*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 253] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 254] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 26*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 255] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 256] -> 
  4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 + 7*a^2*z^2 - 21*a^4*z^2 + 
   26*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 6*a^2*z^4 - 25*a^4*z^4 + 
   28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 257] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + 3*z^2 - 
   8*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   7*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 258] -> 
  5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 7*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 259] -> -2 + 2/a^6 - 6/a^4 + 7/a^2 - a^2 + 
   a^4 - z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 260] -> a^(-8) - 2/a^6 + a^(-4) + a^(-2) - a^2 + a^4 - 
   2*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 261] -> 
  5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 8*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 262] -> -1 - 2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 + a^2 - 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 263] -> 2 - 3*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - 
   a^10 + 4*z^2 - z^2/a^2 - 8*a^2*z^2 + 10*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 
   4*z^4 - z^4/a^2 - 8*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 264] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 265] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 266] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 4*a^2*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 267] -> -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 268] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^2 - 7*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 269] -> 3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + z^4/a^2 - 
   4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 270] -> 
  7 + a^(-4) - 3/a^2 - 8*a^2 + 6*a^4 - 3*a^6 + a^8 + 12*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 - 14*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 10*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 271] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 272] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 273] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 26*z^2 - 
   (6*z^2)/a^4 + (22*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - 
   (6*z^4)/a^4 + (25*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 274] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 275] -> 
  -2 + 10*a^2 - 14*a^4 + 10*a^6 - 3*a^8 - 7*z^2 + 26*a^2*z^2 - 32*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 28*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 276] -> 
  7 + a^(-4) - 3/a^2 - 8*a^2 + 6*a^4 - 3*a^6 + a^8 + 12*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 - 14*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 10*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 277] -> -3 - 2/a^4 + 5/a^2 + 2*a^4 - a^6 - 
   4*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 278] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 279] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 280] -> 
  6 + a^(-8) - 4/a^6 + 7/a^4 - 7/a^2 - 3*a^2 + a^4 + 10*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (11*z^2)/a^4 - (14*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 281] -> 
  2 - 2/a^8 + 6/a^6 - 7/a^4 + 3/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 282] -> 6*a^2 - 15*a^4 + 18*a^6 - 10*a^8 + 2*a^10 + 
   13*a^2*z^2 - 39*a^4*z^2 + 43*a^6*z^2 - 19*a^8*z^2 + 3*a^10*z^2 + 
   11*a^2*z^4 - 42*a^4*z^4 + 39*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   23*a^4*z^6 + 17*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 283] -> a^(-14) - 5/a^12 + 9/a^10 - 
   9/a^8 + 4/a^6 + a^(-4) - (6*z^2)/a^12 + (19*z^2)/a^10 - (20*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 + (13*z^4)/a^10 - (20*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 + z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 284] -> 
  2 - 2*a^2 - a^4 + 5*a^6 - 4*a^8 + a^10 + 4*z^2 - 8*a^2*z^2 - a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*z^4 - 9*a^2*z^4 - 2*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 285] -> 
  3 - 6*a^2 + 8*a^4 - 7*a^6 + 4*a^8 - a^10 + 5*z^2 - z^2/a^2 - 12*a^2*z^2 + 
   14*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   10*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 286] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 287] -> 
  -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 21*a^2*z^2 - 26*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 24*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 288] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 289] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 
   4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 290] -> 
  3 - 6*a^2 + 8*a^4 - 7*a^6 + 4*a^8 - a^10 + 5*z^2 - z^2/a^2 - 12*a^2*z^2 + 
   14*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   10*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 291] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 
   17*a^2*z^2 - 22*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 
   28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 292] -> 5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 8*z^2 - 
   (2*z^2)/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^4 + 
   z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 293] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 294] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 295] -> 
  2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 296] -> -3 + 13*a^2 - 18*a^4 + 13*a^6 - 4*a^8 - 
   9*z^2 + 35*a^2*z^2 - 44*a^4*z^2 + 25*a^6*z^2 - 4*a^8*z^2 - 10*z^4 + 
   38*a^2*z^4 - 42*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 
   18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 297] -> 3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 8*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 298] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 4*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 299] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 21*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 
   17*a^4*z^2 + 4*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 34*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + z^6/a^2 + 21*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 300] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   21*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 301] -> a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 302] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 20*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + 
   (27*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 303] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (29*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (19*z^4)/a^6 - (37*z^4)/a^4 + (22*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 304] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 305] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 20*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + 
   (28*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + (7*z^4)/a^6 - (27*z^4)/a^4 + 
   (35*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 306] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 21*z^2 + 
   (5*z^2)/a^2 + 28*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 29*z^4 + (8*z^4)/a^2 + 
   34*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 20*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 
   3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 307] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 308] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 7*a^2*z^2 - 21*a^4*z^2 + 
   28*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 8*a^2*z^4 - 30*a^4*z^4 + 
   33*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 17*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 309] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 310] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 28*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - (8*z^4)/a^4 + (30*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 311] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 312] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 
   21*a^2*z^2 - 28*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 29*a^2*z^4 - 
   34*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 20*a^2*z^6 - 17*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 313] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 314] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 315] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 316] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 317] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 318] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 319] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 
   25*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 320] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 321] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 
   4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 322] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 323] -> -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 
   3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 324] -> 
  -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - 
   (10*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 325] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + 
   (3*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   z^4/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 326] -> 
  2 - 3*a^2 + 2*a^4 + 2*a^6 - 3*a^8 + a^10 + 3*z^2 - 8*a^2*z^2 + 3*a^4*z^2 + 
   7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*z^4 - 8*a^2*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 327] -> 1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 2/a^2 + 
   2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 328] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   35*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 40*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 329] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   35*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 40*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 330] -> -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 
   34*z^2 - (7*z^2)/a^4 + (27*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 36*z^4 - 
   (9*z^4)/a^4 + (33*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 331] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 
   25*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 332] -> 4*a^2 - 9*a^4 + 12*a^6 - 8*a^8 + 2*a^10 + 
   8*a^2*z^2 - 26*a^4*z^2 + 34*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 + 
   9*a^2*z^4 - 33*a^4*z^4 + 36*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   21*a^4*z^6 + 17*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 333] -> -12 - 3/a^4 + 10/a^2 + 8*a^2 - 
   2*a^4 - 34*z^2 - (7*z^2)/a^4 + (27*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 
   36*z^4 - (9*z^4)/a^4 + (33*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 17*z^6 - 
   (5*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 334] -> -1 + a^(-2) + a^2 - a^4 + 3*a^6 - 
   3*a^8 + a^10 - 3*z^2 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + z^4/a^2 - a^4*z^4 + 3*a^6*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 335] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   21*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 336] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 337] -> -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + 8*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 338] -> 
  -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 11*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 339] -> -a^(-12) + 2/a^10 - 3/a^8 + 3/a^6 - 
   a^(-4) + a^(-2) + (3*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 340] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 341] -> 
  a^(-4) - a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 342] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 343] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 344] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 345] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (4*z^2)/a^10 - (16*z^2)/a^8 + 
   (27*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (32*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 346] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 347] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 - (3*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 348] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 - 
   4*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 349] -> 
  5*a^6 - 8*a^8 + 7*a^10 - 3*a^12 - a^4*z^2 + 21*a^6*z^2 - 28*a^8*z^2 + 
   20*a^10*z^2 - 4*a^12*z^2 - 6*a^4*z^4 + 28*a^6*z^4 - 35*a^8*z^4 + 
   15*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 19*a^6*z^6 - 18*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 350] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   5*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 351] -> 
  2*a^4 - a^6 + a^10 - a^12 + 6*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 352] -> 3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - 
   z^2/a^4 + z^2/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 353] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^4 + z^4/a^12 + (6*z^4)/a^10 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 354] -> -a^(-10) + a^(-8) + a^(-2) + (2*z^2)/a^8 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 355] -> 1 + 2*a^2 - 7*a^4 + 9*a^6 - 5*a^8 + a^10 + 
   2*z^2 + a^2*z^2 - 15*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 356] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 
   6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 357] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 3*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 + z^4/a^4 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 358] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 
   2*a^10 - a^12 + 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   3*a^10*z^2 - z^4 + a^2*z^4 - 2*a^4*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 359] -> 3 - a^(-8) + 2/a^6 - a^(-4) - 
   a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 360] -> 1 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (8*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 361] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 362] -> 1 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (8*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 363] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^2 - a^4 + a^6 - 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 364] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 365] -> 
  1 + 2*a^2 - 7*a^4 + 9*a^6 - 5*a^8 + a^10 + 2*z^2 + a^2*z^2 - 15*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 14*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 366] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 12*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 367] -> -2 + 9*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 6*z^2 + 
   24*a^2*z^2 - 30*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 27*a^2*z^4 - 
   31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 368] -> 1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 369] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 
   2*z^2 - z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 370] -> 
  2*a^4 - a^6 + a^10 - a^12 + 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 
   3*a^10*z^2 - z^4 + a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 371] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 372] -> 5 + a^(-8) - 3/a^6 + 6/a^4 - 7/a^2 - 2*a^2 + 
   a^4 + 6*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 373] -> 7 + 2/a^4 - 5/a^2 - 6*a^2 + 4*a^4 - a^6 + 
   9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 5*z^4 - 
   z^4/a^4 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 374] -> 
  6*a^2 - 14*a^4 + 16*a^6 - 9*a^8 + 2*a^10 + 12*a^2*z^2 - 36*a^4*z^2 + 
   39*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 + 10*a^2*z^4 - 39*a^4*z^4 + 
   37*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 22*a^4*z^6 + 17*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 375] -> 2 - a^2 - 3*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   3*z^2 - 5*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   2*z^4 - 6*a^2*z^4 - 4*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 376] -> 
  7 - a^(-6) + 4/a^4 - 6/a^2 - 5*a^2 + 2*a^4 + 11*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 377] -> 
  -3 + 12*a^2 - 16*a^4 + 12*a^6 - 4*a^8 - 8*z^2 + 32*a^2*z^2 - 40*a^4*z^2 + 
   24*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 35*a^2*z^4 - 40*a^4*z^4 + 15*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 378] -> 
  2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 379] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 12*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 380] -> 2/a^10 - 8/a^8 + 12/a^6 - 9/a^4 + 4/a^2 + 
   (4*z^2)/a^10 - (19*z^2)/a^8 + (33*z^2)/a^6 - (25*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (36*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (21*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 381] -> 2 + a^(-10) - 3/a^8 + 2/a^6 + 2/a^4 - 3/a^2 + 
   3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 382] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^4 - z^6/a^2, Knot[14, Alternating, 383] -> 
  a^2 + 2*a^4 - 5*a^6 + 5*a^8 - 2*a^10 - z^2 + 4*a^2*z^2 + 3*a^4*z^2 - 
   11*a^6*z^2 + 9*a^8*z^2 - a^10*z^2 - 3*z^4 + 5*a^2*z^4 + 2*a^4*z^4 - 
   11*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 384] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 385] -> 
  -16 - 4/a^4 + 13/a^2 + 11*a^2 - 3*a^4 - 40*z^2 - (9*z^2)/a^4 + 
   (33*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 39*z^4 - (9*z^4)/a^4 + 
   (36*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 18*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 386] -> -5 - 2/a^4 + 6/a^2 + a^2 + 2*a^4 - a^6 - 
   8*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   3*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 387] -> a^(-14) - 5/a^12 + 8/a^10 - 7/a^8 + 3/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (16*z^2)/a^10 - (16*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + (10*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 388] -> 
  1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 
   6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 389] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 
   6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 390] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 391] -> 2 - a^(-10) + 3/a^8 - 6/a^6 + 8/a^4 - 5/a^2 + 
   3*z^2 + z^2/a^10 + (2*z^2)/a^8 - (8*z^2)/a^6 + (13*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 392] -> 
  7 + 2/a^4 - 5/a^2 - 6*a^2 + 4*a^4 - a^6 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   11*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^4 - 8*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 393] -> 6*a^2 - 14*a^4 + 16*a^6 - 9*a^8 + 2*a^10 + 
   12*a^2*z^2 - 36*a^4*z^2 + 39*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 + 
   10*a^2*z^4 - 39*a^4*z^4 + 37*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   22*a^4*z^6 + 17*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 394] -> 2 - a^2 - 3*a^4 + 6*a^6 - 4*a^8 + 
   a^10 + 3*z^2 - 5*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   2*z^4 - 6*a^2*z^4 - 4*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 395] -> 
  -16 - 4/a^4 + 13/a^2 + 11*a^2 - 3*a^4 - 40*z^2 - (9*z^2)/a^4 + 
   (33*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 39*z^4 - (9*z^4)/a^4 + 
   (36*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 18*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 396] -> -5 - 2/a^4 + 6/a^2 + a^2 + 2*a^4 - a^6 - 
   8*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   3*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 397] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 398] -> -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 
   3*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 399] -> 
  3 - 7*a^2 + 9*a^4 - 5*a^6 + a^8 + z^2 + z^2/a^2 - 11*a^2*z^2 + 15*a^4*z^2 - 
   7*a^6*z^2 + a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 10*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 400] -> 6 - a^(-2) - 9*a^2 + 7*a^4 - 2*a^6 + 9*z^2 - 
   z^2/a^4 - 16*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 401] -> 
  -2 + 9*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 6*z^2 + 24*a^2*z^2 - 30*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 27*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 402] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 403] -> -1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) + a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^2 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, Alternating, 404] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[14, Alternating, 405] -> 
  7 - a^(-6) + 4/a^4 - 6/a^2 - 5*a^2 + 2*a^4 + 11*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 406] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^4 + z^4/a^12 + (6*z^4)/a^10 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 407] -> 2 - a^(-10) + 3/a^8 - 6/a^6 + 8/a^4 - 5/a^2 + 
   3*z^2 + z^2/a^10 + (2*z^2)/a^8 - (8*z^2)/a^6 + (13*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 408] -> 
  6 - a^(-2) - 9*a^2 + 7*a^4 - 2*a^6 + 9*z^2 - z^2/a^4 - 16*a^2*z^2 + 
   9*a^4*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 409] -> -3 + 12*a^2 - 16*a^4 + 12*a^6 - 4*a^8 - 
   8*z^2 + 32*a^2*z^2 - 40*a^4*z^2 + 24*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 
   35*a^2*z^4 - 40*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 
   18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 410] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   5*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 411] -> a^(-14) - 6/a^12 + 13/a^10 - 14/a^8 + 6/a^6 + 
   a^(-4) + z^2/a^14 - (10*z^2)/a^12 + (28*z^2)/a^10 - (30*z^2)/a^8 + 
   (12*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (22*z^4)/a^10 - (28*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 412] -> 
  -18 - 2/a^4 + 10/a^2 + 16*a^2 - 5*a^4 - 46*z^2 - (5*z^2)/a^4 + 
   (26*z^2)/a^2 + 33*a^2*z^2 - 7*a^4*z^2 - 46*z^4 - (4*z^4)/a^4 + 
   (25*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 24*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 413] -> -13 + 4/a^2 + 19*a^2 - 12*a^4 + 3*a^6 - 
   32*z^2 + (8*z^2)/a^2 + 44*a^2*z^2 - 27*a^4*z^2 + 6*a^6*z^2 - 29*z^4 + 
   (5*z^4)/a^2 + 43*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 414] -> -10 + 4/a^2 + 12*a^2 - 7*a^4 + 
   2*a^6 - 23*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 
   22*z^4 + (3*z^4)/a^2 + 38*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 415] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 416] -> -3/a^12 + 6/a^10 - 6/a^8 + 4/a^6 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (15*z^2)/a^8 + (14*z^2)/a^6 + 
   (5*z^4)/a^12 + (3*z^4)/a^10 - (20*z^4)/a^8 + (16*z^4)/a^6 + (5*z^6)/a^12 - 
   (9*z^6)/a^10 - (17*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 417] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) + 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (8*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 418] -> -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 + 
   (2*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 419] -> -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 + z^2/a^12 + 
   z^2/a^10 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 420] -> 
  -a^(-12) + a^(-10) - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + z^2/a^12 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 421] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 422] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - 2*z^2 + z^2/a^6 - 
   z^2/a^4 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 423] -> 2/a^14 - 9/a^12 + 14/a^10 - 12/a^8 + 6/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (29*z^2)/a^10 - (28*z^2)/a^8 + (17*z^2)/a^6 + 
   (17*z^4)/a^10 - (29*z^4)/a^8 + (17*z^4)/a^6 + (4*z^6)/a^12 - 
   (3*z^6)/a^10 - (19*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 424] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - (3*z^2)/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 425] -> -3/a^10 + 6/a^8 - 5/a^6 + 3/a^4 + z^2/a^12 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^12 - 
   (5*z^4)/a^10 + (6*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - 
   z^8/a^6, Knot[14, Alternating, 426] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + 
   z^2/a^12 - (2*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 427] -> 
  a^(-14) - 5/a^12 + 7/a^10 - 5/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (14*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (9*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 428] -> 2/a^14 - 9/a^12 + 14/a^10 - 12/a^8 + 6/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (29*z^2)/a^10 - (28*z^2)/a^8 + (17*z^2)/a^6 + 
   (17*z^4)/a^10 - (29*z^4)/a^8 + (17*z^4)/a^6 + (4*z^6)/a^12 - 
   (3*z^6)/a^10 - (19*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 429] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - (3*z^2)/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 430] -> a^(-12) - 6/a^10 + 10/a^8 - 8/a^6 + 4/a^4 + 
   z^2/a^12 - (7*z^2)/a^10 + (17*z^2)/a^8 - (14*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^4)/a^12 - (4*z^4)/a^10 + (8*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 431] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 + z^2/a^12 - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, Alternating, 432] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + z^2 + 
   z^2/a^12 - z^2/a^10 + z^2/a^8 + z^2/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^10 - 
   z^4/a^8 - z^4/a^6 - z^4/a^4 - z^4/a^2, Knot[14, Alternating, 433] -> 
  -14 + a^(-6) - 7/a^4 + 16/a^2 + 5*a^2 - 37*z^2 + (2*z^2)/a^6 - 
   (15*z^2)/a^4 + (38*z^2)/a^2 + 11*a^2*z^2 - 40*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (36*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 434] -> -16 - 2/a^4 + 10/a^2 + 12*a^2 - 3*a^4 - 
   40*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 32*a^2*z^2 - 9*a^4*z^2 - 38*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 37*a^2*z^4 - 10*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 435] -> -2 - a^(-6) + 4/a^4 - 3/a^2 + 4*a^2 - a^4 - 
   3*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 
   z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 436] -> 2 - a^(-2) + 4*a^2 - 10*a^4 + 9*a^6 - 3*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 22*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 437] -> -8 + a^(-2) + 18*a^2 - 13*a^4 + 3*a^6 - 
   21*z^2 + (3*z^2)/a^2 + 44*a^2*z^2 - 29*a^4*z^2 + 6*a^6*z^2 - 21*z^4 + 
   (3*z^4)/a^2 + 45*a^2*z^4 - 26*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   24*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 438] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 439] -> 
  -14 - a^(-4) + 6/a^2 + 16*a^2 - 6*a^4 - 38*z^2 - (3*z^2)/a^4 + 
   (18*z^2)/a^2 + 35*a^2*z^2 - 9*a^4*z^2 - 41*z^4 - (3*z^4)/a^4 + 
   (20*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 23*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 440] -> -4 - a^(-4) + 4/a^2 - a^2 + 6*a^4 - 3*a^6 - 
   9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 
   8*z^4 - z^4/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 441] -> 2 - a^(-2) + 5*a^2 - 11*a^4 + 8*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 442] -> 2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (40*z^2)/a^6 - (31*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (38*z^4)/a^6 - (37*z^4)/a^4 + (10*z^4)/a^2 - 
   (3*z^6)/a^8 + (17*z^6)/a^6 - (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 443] -> 
  2 + a^(-10) - 4/a^8 + 3/a^6 + 3/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 444] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 445] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 446] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 447] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   33*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 28*a^2*z^2 - 7*a^4*z^2 - 39*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 26*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 448] -> -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 
   20*z^2 + (3*z^2)/a^2 + 39*a^2*z^2 - 22*a^4*z^2 + 4*a^6*z^2 - 21*z^4 + 
   (3*z^4)/a^2 + 43*a^2*z^4 - 22*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   24*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 449] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - 
   a^4 - 35*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 - 
   36*z^4 - z^4/a^4 + (13*z^4)/a^2 + 33*a^2*z^4 - 9*a^4*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 450] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 
   10/a^2 - 9*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (33*z^2)/a^4 + 
   (30*z^2)/a^2 - 10*z^4 - z^4/a^8 + (11*z^4)/a^6 - (34*z^4)/a^4 + 
   (36*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 451] -> 
  -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 30*z^2 + (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (33*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 452] -> -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 
   3*a^2*z^2 + 3*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   8*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 453] -> 3 - a^(-8) + 5/a^6 - 7/a^4 + 2/a^2 - a^2 + 
   7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 454] -> -7 - a^(-6) + 3/a^4 + a^(-2) + 6*a^2 - a^4 - 
   10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 455] -> -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 
   22*a^2*z^2 - 31*a^4*z^2 + 24*a^6*z^2 - 6*a^8*z^2 - 4*z^4 + 23*a^2*z^4 - 
   37*a^4*z^4 + 24*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 22*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 456] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (35*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (36*z^4)/a^6 - (33*z^4)/a^4 + (9*z^4)/a^2 - 
   (3*z^6)/a^8 + (17*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 457] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 458] -> -7 - a^(-6) + 3/a^4 + a^(-2) + 6*a^2 - a^4 - 
   10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 459] -> 4 - a^(-2) - 5*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 
   8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 460] -> -6 - a^(-8) + 7/a^6 - 18/a^4 + 19/a^2 - 
   14*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (41*z^2)/a^4 + (45*z^2)/a^2 - 
   12*z^4 - z^4/a^8 + (11*z^4)/a^6 - (37*z^4)/a^4 + (45*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (24*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 461] -> 
  -14 + 2/a^6 - 11/a^4 + 20/a^2 + 4*a^2 - 38*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (45*z^2)/a^2 + 11*a^2*z^2 - 41*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (40*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 462] -> 3 - a^(-2) - 5*a^4 + 7*a^6 - 3*a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 463] -> -3 + a^(-8) - 5/a^6 + 7/a^4 - a^(-2) + 2*a^2 - 
   8*z^2 + z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   8*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 464] -> -14 + 2/a^6 - 11/a^4 + 20/a^2 + 4*a^2 - 
   38*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (45*z^2)/a^2 + 11*a^2*z^2 - 41*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (40*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 465] -> -3*a^4 + 10*a^6 - 6*a^8 - 10*a^4*z^2 + 
   28*a^6*z^2 - 4*a^8*z^2 - 5*a^10*z^2 - 12*a^4*z^4 + 32*a^6*z^4 + 
   8*a^8*z^4 - 8*a^10*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 12*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 466] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - 
   a^10 - 3*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 13*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 467] -> -4*a^4 + 15*a^6 - 14*a^8 + 5*a^10 - a^12 - 
   12*a^4*z^2 + 39*a^6*z^2 - 22*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 
   13*a^4*z^4 + 40*a^6*z^4 - 7*a^8*z^4 - 3*a^10*z^4 - 6*a^4*z^6 + 
   22*a^6*z^6 + 6*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 5*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 468] -> 
  -2*a^2 + 7*a^4 - 6*a^6 + 4*a^8 - 2*a^10 - 5*a^2*z^2 + 15*a^4*z^2 - 
   8*a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - 2*a^6*z^4 + 
   8*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 469] -> 
  -1 + 3*a^2 - a^4 - a^6 + 3*a^8 - 2*a^10 - 2*z^2 + 5*a^2*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 - z^4 + 3*a^2*z^4 + a^4*z^4 + a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, Alternating, 470] -> 
  -8 + a^(-2) + 18*a^2 - 13*a^4 + 3*a^6 - 21*z^2 + (3*z^2)/a^2 + 44*a^2*z^2 - 
   29*a^4*z^2 + 6*a^6*z^2 - 21*z^4 + (3*z^4)/a^2 + 45*a^2*z^4 - 26*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 24*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 471] -> 
  -14 + a^(-6) - 7/a^4 + 16/a^2 + 5*a^2 - 37*z^2 + (2*z^2)/a^6 - 
   (15*z^2)/a^4 + (38*z^2)/a^2 + 11*a^2*z^2 - 40*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (36*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 472] -> 2 - a^(-2) + 5*a^2 - 11*a^4 + 8*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 473] -> -14 - a^(-4) + 6/a^2 + 16*a^2 - 6*a^4 - 
   38*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 35*a^2*z^2 - 9*a^4*z^2 - 41*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 474] -> -16 - 2/a^4 + 10/a^2 + 12*a^2 - 
   3*a^4 - 40*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 32*a^2*z^2 - 9*a^4*z^2 - 
   38*z^4 - z^4/a^4 + (13*z^4)/a^2 + 37*a^2*z^4 - 10*a^4*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 475] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 476] -> 
  2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (40*z^2)/a^6 - (31*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (38*z^4)/a^6 - (37*z^4)/a^4 + (10*z^4)/a^2 - (3*z^6)/a^8 + (17*z^6)/a^6 - 
   (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 477] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + 
   a^2 - 18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 
   25*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 478] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 479] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 480] -> 2 - a^(-2) + 4*a^2 - 10*a^4 + 9*a^6 - 3*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 22*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 481] -> 2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 2/a^6 + 
   a^(-4) + z^2/a^14 - (11*z^2)/a^12 + (19*z^2)/a^10 - (10*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - (10*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 482] -> 
  -1 - a^(-8) + 4/a^6 - 9/a^4 + 9/a^2 - a^2 + z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 483] -> 
  4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + (2*z^2)/a^16 - (2*z^2)/a^14 - 
   (19*z^2)/a^12 + (21*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (8*z^4)/a^14 - 
   (5*z^4)/a^12 + (27*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 484] -> a^(-16) - 2/a^14 + a^(-12) - 3/a^10 + 3/a^8 + 
   a^(-6) + z^2/a^16 - (5*z^2)/a^14 + z^2/a^12 - z^2/a^10 + (9*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^4)/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 485] -> -a^(-2) + 4*a^2 - 2*a^4 + a^6 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   2*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 486] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 4*a^2 + a^4 - a^6 - 11*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 487] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 9/a^8 + 2/a^6 + 2/a^4 + z^2/a^14 - 
   (12*z^2)/a^12 + (28*z^2)/a^10 - (23*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (25*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 488] -> a^(-14) - 3/a^12 + 2/a^10 + 
   a^(-8) - 2/a^6 + a^(-4) + a^(-2) - (4*z^2)/a^12 + (8*z^2)/a^10 - z^2/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^10 - (4*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 489] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^4 - a^6 + 
   6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 490] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (9*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 491] -> 4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + z^2/a^16 - 
   (18*z^2)/a^12 + (18*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - 
   (5*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 492] -> 
  2/a^14 - 7/a^12 + 9/a^10 - 7/a^8 + 3/a^6 + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (27*z^2)/a^10 - (23*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^4)/a^12 + (24*z^4)/a^10 - (27*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 493] -> a^(-14) - 3/a^12 + 3/a^10 - 2/a^8 + 
   2/a^4 - (4*z^2)/a^12 + (8*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 494] -> -3 + 7*a^2 - 5*a^4 + 5*a^6 - 3*a^8 - 7*z^2 + 
   17*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   15*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 495] -> 1 - a^(-2) + a^2 + 2*a^6 - 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 496] -> 
  1 + a^(-12) - 4/a^10 + 5/a^8 - 2/a^6 + 2*z^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + (6*z^4)/a^8 - 
   (9*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, Alternating, 497] -> 
  5 - 2/a^2 - 5*a^2 + 5*a^4 - a^6 - a^8 + 9*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   10*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 7*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 498] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^4 - a^8 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 499] -> a^(-14) - 5/a^12 + 8/a^10 - 5/a^8 + a^(-4) + 
   a^(-2) - (5*z^2)/a^12 + (15*z^2)/a^10 - (10*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (8*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 500] -> -a^(-12) + 6/a^10 - 12/a^8 + 7/a^6 + 2/a^4 - 
   a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (17*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (16*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 501] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 502] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 503] -> 
  1 + 2/a^10 - 9/a^8 + 11/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (25*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   (4*z^4)/a^8 + (19*z^4)/a^6 - (13*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 504] -> 1 + a^(-12) - 4/a^10 + 3/a^8 + 2/a^6 - 2/a^4 + 
   2*z^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + z^4 + 
   (5*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 505] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 506] -> -7 - a^(-6) + a^(-4) + 4/a^2 + 
   4*a^2 + a^4 - a^6 - 11*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 507] -> 2/a^14 - 8/a^12 + 12/a^10 - 9/a^8 + 2/a^6 + 
   2/a^4 + z^2/a^14 - (12*z^2)/a^12 + (28*z^2)/a^10 - (23*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (25*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 508] -> 
  1 + 2/a^10 - 9/a^8 + 11/a^6 - 3/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (14*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 509] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 33*z^2 - 
   (4*z^2)/a^4 + (20*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 34*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 510] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 
   4*a^2 - 25*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (31*z^2)/a^2 + 6*a^2*z^2 - 
   22*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 511] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 + z^2/a^6 - (3*z^2)/a^4 - 9*a^2*z^2 + 2*a^4*z^2 + 
   7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 512] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (25*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 513] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (25*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (27*z^4)/a^6 - (26*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 514] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 
   11*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 28*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 515] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 
   5*z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 516] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 517] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 13*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (28*z^2)/a^4 + (38*z^2)/a^2 - 12*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (29*z^4)/a^4 + (42*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (24*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 518] -> -3*a^4 + 10*a^6 - 6*a^8 - 2*a^2*z^2 - 
   4*a^4*z^2 + 26*a^6*z^2 - 10*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   27*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 519] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - z^2 - 
   a^2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 520] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 521] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 522] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + 
   (3*z^2)/a^16 - (9*z^2)/a^14 - (8*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 + 
   z^4/a^16 - (11*z^4)/a^14 + (3*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 - 
   (3*z^6)/a^14 + (7*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 523] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (15*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 524] -> 
  2 + a^(-10) - 6/a^8 + 11/a^6 - 7/a^4 + 3*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (23*z^2)/a^6 - (12*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 525] -> 1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 526] -> 
  1 - a^(-2) + 3*a^4 - a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 527] -> 
  1 - a^(-4) + a^(-2) + a^4 - a^6 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 528] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) + z^2/a^14 - (8*z^2)/a^12 + (13*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (15*z^4)/a^10 - (10*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 529] -> 
  2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + (3*z^2)/a^16 - (11*z^2)/a^14 - 
   (7*z^2)/a^12 + (21*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (3*z^4)/a^12 + (29*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 530] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - 
   (4*z^2)/a^14 - (8*z^2)/a^12 + (11*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   (3*z^4)/a^14 + (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 531] -> 
  2/a^14 - 6/a^12 + 4/a^10 + a^(-4) + z^2/a^14 - (11*z^2)/a^12 + 
   (16*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 532] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 533] -> 
  a^(-16) - a^(-14) - 3/a^12 + 2/a^10 + a^(-8) + a^(-6) + z^2/a^16 - 
   (4*z^2)/a^14 - (6*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^4)/a^14 + (13*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 534] -> 
  1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 535] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 536] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 2/a^6 + 2/a^4 + z^2/a^14 - 
   (9*z^2)/a^12 + (22*z^2)/a^10 - (21*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (21*z^4)/a^10 - (25*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 537] -> -2 + 3*a^2 + 3*a^6 - 3*a^8 - 
   7*z^2 + 14*a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 - 13*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 538] -> -3 + 6*a^2 - 2*a^4 + 2*a^6 - 
   2*a^8 - z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 539] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 + 
   2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 540] -> 2 - a^(-2) - 3*a^2 + 5*a^4 - 2*a^8 + 6*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 541] -> 1 - a^(-2) + 3*a^4 - a^6 - a^8 + 3*z^2 - 
   z^2/a^4 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 542] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 543] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (17*z^2)/a^8 + (15*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (16*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 544] -> a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 2/a^6 + 
   2/a^4 - (5*z^2)/a^12 + (15*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^4 + 
   z^2/a^2 + (9*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 545] -> 1 + 2/a^10 - 8/a^8 + 10/a^6 - 4/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (22*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 546] -> -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 5*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 
   10*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 547] -> 
  2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 3*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 548] -> 2/a^14 - 5/a^12 + a^(-10) + 2/a^8 + a^(-6) + 
   z^2/a^16 - (2*z^2)/a^14 - (7*z^2)/a^12 + (6*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^4)/a^14 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 549] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 550] -> a^(-16) - a^(-14) - 3/a^12 + 2/a^10 + a^(-8) + 
   a^(-6) + z^2/a^16 - (4*z^2)/a^14 - (6*z^2)/a^12 + (10*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + (13*z^4)/a^10 + (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 551] -> a^(-14) - 5/a^12 + 9/a^10 - 6/a^8 - a^(-6) + 
   2/a^4 + a^(-2) - (5*z^2)/a^12 + (16*z^2)/a^10 - (12*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (8*z^4)/a^10 - (10*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 552] -> -10 - 2/a^4 + 7/a^2 + 7*a^2 + a^4 - 2*a^6 - 
   22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 
   20*z^4 - z^4/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 553] -> -a^(-6) + 3/a^4 - 3/a^2 + 3*a^2 - a^6 - 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 554] -> 
  -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 5*z^2 - z^2/a^2 + 16*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 555] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 556] -> a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 + a^(-4) + 
   a^(-2) - (4*z^2)/a^12 + (11*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 557] -> -2 - a^(-6) + 2/a^4 + 2*a^2 + a^4 - a^6 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 558] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 559] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 + z^2/a^14 - (9*z^2)/a^12 + 
   (17*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - 
   (12*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 560] -> 2 - 2/a^8 + 6/a^6 - 7/a^4 + 3/a^2 - a^2 + 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 561] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   a^2 + 2*a^4 - a^6 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 562] -> 1 + 2/a^10 - 8/a^8 + 10/a^6 - 4/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (22*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 563] -> 2/a^14 - 7/a^12 + 7/a^10 - 2/a^8 - a^(-6) + 
   2/a^4 + z^2/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - (8*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 564] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 565] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - a^(-6) + a^(-2) - (4*z^2)/a^12 + 
   (6*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^2 + (5*z^4)/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 566] -> -1 + a^(-6) - 7/a^4 + 10/a^2 - 
   3*a^2 + a^4 - z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[14, Alternating, 567] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 568] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 2/a^6 + a^(-4) + a^(-2) - (4*z^2)/a^12 + 
   (8*z^2)/a^10 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (5*z^4)/a^10 - z^4/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 569] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 2/a^8 - a^(-6) + 2/a^4 + z^2/a^14 - 
   (11*z^2)/a^12 + (18*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (17*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 570] -> -2 - 2/a^8 + 10/a^6 - 17/a^4 + 
   12/a^2 - 5*z^2 - (5*z^2)/a^8 + (25*z^2)/a^6 - (42*z^2)/a^4 + 
   (26*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (24*z^4)/a^6 - (43*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 - z^6/a^8 + (11*z^6)/a^6 - (23*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 571] -> 5 - a^(-8) + 4/a^6 - 3/a^4 - 3/a^2 - a^2 + 
   8*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 572] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - 
   2*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 573] -> 2 + a^(-4) - 4/a^2 + 7*a^2 - 6*a^4 + a^6 + 
   2*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 + z^4/a^4 - (6*z^4)/a^2 + 19*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 574] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 25*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 575] -> 5 - 2/a^2 + a^2 - 7*a^4 + 5*a^6 - 
   a^8 + 9*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 18*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 + 7*z^4 - z^4/a^2 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 576] -> 1 - a^(-4) + 2/a^2 - 4*a^4 + 4*a^6 - a^8 + 
   z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + (2*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 577] -> 
  -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 25*z^2 + (5*z^2)/a^2 + 43*a^2*z^2 - 
   25*a^4*z^2 + 5*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 43*a^2*z^4 - 24*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + z^6/a^2 + 23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 578] -> 
  4 + a^(-4) - 4/a^2 + 3*a^2 - 4*a^4 + a^6 + 7*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 579] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 15*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (25*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 580] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 25*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 581] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   15*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 582] -> -3 - a^(-8) + 6/a^6 - 13/a^4 + 
   12/a^2 - 8*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (30*z^2)/a^4 + 
   (28*z^2)/a^2 - 8*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + 
   (30*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 583] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 23*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (32*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (31*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 584] -> -1 + a^(-8) - 4/a^6 + 5/a^4 - a^(-2) + a^2 - 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 585] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 33*z^2 - 
   (4*z^2)/a^4 + (20*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 34*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 586] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 
   4*a^2 - 25*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (31*z^2)/a^2 + 6*a^2*z^2 - 
   22*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 587] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 + z^2/a^6 - (3*z^2)/a^4 - 9*a^2*z^2 + 2*a^4*z^2 + 
   7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 588] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 589] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   10*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 590] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 
   28*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 591] -> 
  4*a^2 - 5*a^4 + 2*a^6 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 592] -> -3*a^4 + 10*a^6 - 6*a^8 - 2*a^2*z^2 - 
   4*a^4*z^2 + 26*a^6*z^2 - 10*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   27*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 593] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - z^2 - 
   a^2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 594] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (10*z^4)/a^8 + (17*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 595] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 + z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 596] -> -1 - a^2 + 5*a^4 + a^6 - 3*a^8 - 6*z^2 + 
   7*a^2*z^2 + 6*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 
   5*a^4*z^4 + 18*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 597] -> -2 + 2*a^2 + 3*a^4 - 2*a^8 - z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 598] -> 
  -3 + 5*a^2 + a^4 - a^6 - a^8 - z^2 - (2*z^2)/a^2 + 8*a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 599] -> 4/a^16 - 10/a^14 + 3/a^12 + 
   4/a^10 + (10*z^2)/a^16 - (41*z^2)/a^14 + (26*z^2)/a^12 + (18*z^2)/a^10 + 
   (6*z^4)/a^16 - (48*z^4)/a^14 + (54*z^4)/a^12 + (30*z^4)/a^10 + z^6/a^16 - 
   (21*z^6)/a^14 + (45*z^6)/a^12 + (23*z^6)/a^10 - (3*z^8)/a^14 + 
   (16*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 600] -> 3/a^16 - 7/a^14 + a^(-12) + 3/a^10 + a^(-8) + 
   (4*z^2)/a^16 - (18*z^2)/a^14 + (4*z^2)/a^12 + (17*z^2)/a^10 + 
   (5*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (11*z^4)/a^12 + (27*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^6)/a^14 + (9*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 601] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + (3*z^2)/a^16 - (12*z^2)/a^14 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (5*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 602] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 603] -> 2/a^16 - 4/a^14 - a^(-12) + 
   2/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - (2*z^2)/a^12 + (9*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + (13*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 604] -> -4 - a^(-6) + 5/a^2 + a^4 - 6*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 605] -> 
  -a^(-2) + 3*a^2 - a^8 + z^2 - z^2/a^4 + 6*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 606] -> 2/a^16 - 5/a^14 + 2/a^12 + a^(-8) + a^(-6) + 
   z^2/a^16 - (8*z^2)/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^4)/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 607] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   7*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 608] -> 
  1 - 2/a^8 + 5/a^6 - 2/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 609] -> -3 + 5*a^2 + a^4 - a^6 - a^8 - z^2/a^4 + 
   6*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 610] -> 2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 
   3*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 611] -> 
  -5 - a^(-4) + 3/a^2 + 5*a^2 + a^4 - 2*a^6 - 16*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 9*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 10*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 612] -> 
  -2 - a^(-4) + 2/a^2 + 3*a^2 - a^6 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 613] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 + 
   (3*z^2)/a^16 - (11*z^2)/a^14 + (8*z^2)/a^10 + (10*z^2)/a^8 + z^4/a^16 - 
   (12*z^4)/a^14 + (10*z^4)/a^12 + (15*z^4)/a^10 + (12*z^4)/a^8 - 
   (3*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 614] -> 
  a^(-16) - 2/a^14 - a^(-10) + 2/a^8 + a^(-6) + z^2/a^16 - (5*z^2)/a^14 - 
   z^2/a^12 + (4*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 615] -> 
  -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 7*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 616] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^8/a^2, Knot[14, Alternating, 617] -> 
  1 - 2/a^8 + 5/a^6 - 2/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 618] -> 3 - a^(-8) + 5/a^6 - 9/a^4 + 5/a^2 - 2*a^2 + 
   8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 619] -> 3 - a^(-8) + 3/a^6 - 2/a^4 - 
   2/a^2 + a^2 - a^4 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 620] -> 3 - a^(-8) + 5/a^6 - 9/a^4 + 5/a^2 - 2*a^2 + 
   8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 621] -> 2/a^14 - 5/a^12 + 4/a^8 + 
   (2*z^2)/a^16 - (5*z^2)/a^14 - (6*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 + 
   z^4/a^16 - (9*z^4)/a^14 + (4*z^4)/a^12 + (13*z^4)/a^10 + (13*z^4)/a^8 - 
   (3*z^6)/a^14 + (7*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 622] -> 
  a^(-16) - 3/a^14 + 3/a^12 - 3/a^10 + a^(-8) + 2/a^6 + z^2/a^16 - 
   (6*z^2)/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 623] -> a^(-16) - 3/a^14 + 2/a^12 - a^(-8) + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (3*z^2)/a^12 + z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 624] -> 1 - a^(-2) + 6*a^2 - 9*a^4 + 
   5*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 19*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 625] -> -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 626] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 5*z^2 - (4*z^2)/a^8 + 
   (20*z^2)/a^6 - (35*z^2)/a^4 + (24*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (22*z^4)/a^6 - (39*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 627] -> 
  -12 - 2/a^4 + 9/a^2 + 7*a^2 - a^4 - 37*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 
   19*a^2*z^2 - 3*a^4*z^2 - 41*z^4 - (4*z^4)/a^4 + (24*z^4)/a^2 + 
   20*a^2*z^4 - 3*a^4*z^4 - 23*z^6 - z^6/a^4 + (11*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 628] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 19*z^2 + 
   (5*z^2)/a^6 - (24*z^2)/a^4 + (37*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (24*z^4)/a^4 + (41*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 629] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 630] -> -7 - a^(-6) + 3/a^4 + a^(-2) + 
   6*a^2 - a^4 - 14*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 631] -> 
  3 - a^(-8) + 5/a^6 - 7/a^4 + 2/a^2 - a^2 + 6*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 632] -> 
  -9 - a^(-6) + 2/a^4 + 3/a^2 + 8*a^2 - 2*a^4 - 22*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 + z^4/a^2 + 12*a^2*z^4 - a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 633] -> 
  -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 20*z^2 + (4*z^2)/a^2 + 36*a^2*z^2 - 
   23*a^4*z^2 + 5*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 39*a^2*z^4 - 23*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + z^6/a^2 + 22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 634] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 635] -> 3 - a^(-8) + 5/a^6 - 7/a^4 + 2/a^2 - a^2 + 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 636] -> 4 - a^(-6) + 3/a^4 - 3/a^2 - 5*a^2 + 4*a^4 - 
   a^6 + 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 11*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 637] -> -a^2 - a^4 + 14*a^6 - 17*a^8 + 7*a^10 - a^12 - 
   3*a^2*z^2 - 2*a^4*z^2 + 35*a^6*z^2 - 33*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 33*a^6*z^4 - 23*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, 
 Knot[14, Alternating, 638] -> -11 + 3/a^6 - 14/a^4 + 21/a^2 + 2*a^2 - 
   27*z^2 + (6*z^2)/a^6 - (30*z^2)/a^4 + (49*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + 
   (4*z^4)/a^6 - (26*z^4)/a^4 + (47*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 639] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^4 - a^6 - 9*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 7*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 640] -> 7 + a^(-6) - 3/a^4 - 5*a^2 + a^4 + 13*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 
   10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 641] -> -11 + 3/a^6 - 14/a^4 + 21/a^2 + 2*a^2 - 
   27*z^2 + (6*z^2)/a^6 - (30*z^2)/a^4 + (49*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + 
   (4*z^4)/a^6 - (26*z^4)/a^4 + (47*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 642] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   18*a^2*z^2 - 4*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 643] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 27*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 644] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (27*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (29*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 645] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 646] -> 
  -3 - a^(-8) + 6/a^6 - 13/a^4 + 12/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (30*z^2)/a^4 + (28*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (29*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 647] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 23*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 648] -> -1 + a^(-8) - 4/a^6 + 5/a^4 - a^(-2) + a^2 - 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 649] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (25*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 650] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 651] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (18*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 652] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 653] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 654] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   10*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 655] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 
   28*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 656] -> 
  4*a^2 - 5*a^4 + 2*a^6 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 657] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 658] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 659] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (25*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 660] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (25*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (27*z^4)/a^6 - (26*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 661] -> 1 + a^(-12) - 4/a^10 + 5/a^8 - 
   2/a^6 + 2*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4 + (6*z^4)/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, Alternating, 662] -> -a^(-12) + 6/a^10 - 12/a^8 + 7/a^6 + 2/a^4 - 
   a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (17*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (16*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 663] -> 
  -1 - a^(-8) + 4/a^6 - 9/a^4 + 9/a^2 - a^2 + z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 664] -> 
  5 - 2/a^2 - 5*a^2 + 5*a^4 - a^6 - a^8 + 9*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   10*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 7*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 665] -> 
  1 + 2/a^10 - 9/a^8 + 11/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (25*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   (4*z^4)/a^8 + (19*z^4)/a^6 - (13*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 666] -> 4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + 
   (2*z^2)/a^16 - (2*z^2)/a^14 - (19*z^2)/a^12 + (21*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (8*z^4)/a^14 - (5*z^4)/a^12 + (27*z^4)/a^10 + 
   (9*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 667] -> 
  -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 7*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 668] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   7*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 669] -> 
  -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 2*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 670] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   7*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (32*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (36*z^4)/a^4 + (26*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (21*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 671] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 672] -> -4 - 2/a^8 + 10/a^6 - 19/a^4 + 16/a^2 - 
   8*z^2 - (5*z^2)/a^8 + (25*z^2)/a^6 - (45*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (44*z^4)/a^4 + (29*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (23*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 673] -> 
  7 - a^(-8) + 3/a^6 - a^(-4) - 5/a^2 - 2*a^2 + 12*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 674] -> -1 - a^(-8) + 3/a^6 - 2/a^4 + 3*a^2 - a^4 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, Alternating, 675] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 676] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 677] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 678] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (18*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 679] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 680] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 33*z^2 - 
   (4*z^2)/a^4 + (20*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 34*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 681] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 
   4*a^2 - 25*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (31*z^2)/a^2 + 6*a^2*z^2 - 
   22*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 682] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^4 - a^6 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 683] -> 2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 
   2/a^6 + a^(-4) + z^2/a^14 - (11*z^2)/a^12 + (19*z^2)/a^10 - (10*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - (10*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 684] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (9*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 685] -> a^(-14) - 5/a^12 + 9/a^10 - 6/a^8 - a^(-6) + 
   2/a^4 + a^(-2) - (5*z^2)/a^12 + (16*z^2)/a^10 - (12*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (8*z^4)/a^10 - (10*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 686] -> a^(-14) - 5/a^12 + 8/a^10 - 5/a^8 + a^(-4) + 
   a^(-2) - (5*z^2)/a^12 + (15*z^2)/a^10 - (10*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (8*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 687] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 688] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 2/a^6 + 2/a^4 + z^2/a^14 - 
   (9*z^2)/a^12 + (22*z^2)/a^10 - (21*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (21*z^4)/a^10 - (25*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 689] -> a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 + 
   a^(-4) + a^(-2) - (4*z^2)/a^12 + (11*z^2)/a^10 - (7*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^10 - (6*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 690] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 691] -> 
  2 + a^(-10) - 6/a^8 + 11/a^6 - 7/a^4 + 3*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (23*z^2)/a^6 - (12*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 692] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 693] -> -10 - 2/a^4 + 7/a^2 + 7*a^2 + a^4 - 2*a^6 - 
   22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 
   20*z^4 - z^4/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 694] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 695] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 696] -> -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 5*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 
   10*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 697] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 698] -> a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 
   2/a^6 + 2/a^4 - (5*z^2)/a^12 + (15*z^2)/a^10 - (13*z^2)/a^8 + 
   (5*z^2)/a^4 + z^2/a^2 + (9*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 699] -> 1 + 2/a^10 - 8/a^8 + 10/a^6 - 4/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (22*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 700] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 701] -> 1 + 2/a^10 - 8/a^8 + 10/a^6 - 4/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (22*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 702] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 703] -> -2 + 3*a^2 + 3*a^6 - 3*a^8 - 7*z^2 + 
   14*a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   13*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 704] -> -3 + 6*a^2 - 2*a^4 + 2*a^6 - 2*a^8 - z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 705] -> 
  4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + z^2/a^16 - (18*z^2)/a^12 + 
   (18*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - (5*z^4)/a^12 + 
   (19*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 706] -> 
  -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 5*z^2 - z^2/a^2 + 16*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 707] -> 1 + 2/a^10 - 9/a^8 + 11/a^6 - 3/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 708] -> 2 + a^(-4) - 4/a^2 + 7*a^2 - 
   6*a^4 + a^6 + 2*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 19*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (6*z^4)/a^2 + 19*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 709] -> 5 - 2/a^2 + a^2 - 7*a^4 + 5*a^6 - 
   a^8 + 9*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 18*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 + 7*z^4 - z^4/a^2 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 710] -> -2 - 2/a^8 + 10/a^6 - 17/a^4 + 12/a^2 - 
   5*z^2 - (5*z^2)/a^8 + (25*z^2)/a^6 - (42*z^2)/a^4 + (26*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (43*z^4)/a^4 + (24*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (23*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 711] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 712] -> -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 
   25*z^2 + (5*z^2)/a^2 + 43*a^2*z^2 - 25*a^4*z^2 + 5*a^6*z^2 - 24*z^4 + 
   (4*z^4)/a^2 + 43*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 713] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + 
   a^2 - 15*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 714] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 715] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 15*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 716] -> -a^2 + 9*a^6 - 9*a^8 + 2*a^10 - 
   3*a^2*z^2 + 24*a^6*z^2 - 15*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   25*a^6*z^4 - 8*a^8*z^4 - a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 717] -> 
  -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (30*z^2)/a^4 + (33*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (31*z^4)/a^4 + (39*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 718] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 719] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (27*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (29*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 720] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 721] -> 
  -3 - a^(-8) + 6/a^6 - 13/a^4 + 12/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (30*z^2)/a^4 + (28*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (29*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 722] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 23*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 723] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   25*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (31*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 724] -> -a^(-2) + 4*a^2 - 2*a^4 + a^6 - 
   a^8 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 725] -> 
  a^(-14) - 3/a^12 + 2/a^10 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) - 
   (4*z^2)/a^12 + (8*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (6*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 726] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 9/a^8 + 2/a^6 + 2/a^4 + z^2/a^14 - 
   (12*z^2)/a^12 + (28*z^2)/a^10 - (23*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (25*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 727] -> 2/a^14 - 7/a^12 + 9/a^10 - 7/a^8 + 
   3/a^6 + a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (27*z^2)/a^10 - (23*z^2)/a^8 + 
   (8*z^2)/a^6 + (4*z^2)/a^4 - (4*z^4)/a^12 + (24*z^4)/a^10 - (27*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 728] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 2/a^8 + 2/a^4 - (4*z^2)/a^12 + (8*z^2)/a^10 - 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - 
   (3*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 729] -> 
  -3 + 7*a^2 - 5*a^4 + 5*a^6 - 3*a^8 - 7*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 15*a^4*z^4 + 20*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 730] -> 1 - a^(-2) + a^2 + 2*a^6 - 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 731] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 4*a^2 + a^4 - a^6 - 11*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 732] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 9/a^8 + 2/a^6 + 2/a^4 + z^2/a^14 - 
   (12*z^2)/a^12 + (28*z^2)/a^10 - (23*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (25*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 733] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - 
   2*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 734] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 735] -> 
  -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (30*z^2)/a^4 + (33*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (31*z^4)/a^4 + (39*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 736] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 737] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 26*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 738] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   15*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 30*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 739] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 
   2*a^2 - 23*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 6*a^2*z^2 - 
   27*z^4 + z^4/a^6 - (12*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 740] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   2*z^2 - z^2/a^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 741] -> 
  -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 21*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (23*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 742] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 743] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 744] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (22*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 745] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 746] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 22*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 747] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 748] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 13*z^2 + z^2/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 
   a^6*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 749] -> 4 - 7*a^2 + 5*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 750] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^6*z^2 - a^8*z^2 - 
   z^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 751] -> -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 
   21*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (23*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 752] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - 
   3*z^2 + 13*a^2*z^2 - 22*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   21*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 753] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (5*z^4)/a^2 + 
   27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 754] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 5*z^2 + 
   z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 755] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 756] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 757] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 758] -> 2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 + 
   a^4*z^2 + 13*a^6*z^2 - 22*a^8*z^2 + 15*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 
   20*a^6*z^4 - 27*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 759] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 + 5*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 760] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 761] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 762] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 763] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 764] -> 
  1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 2*z^2 - 7*a^2*z^2 + 10*a^4*z^2 - 
   3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 5*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 765] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 
   9*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 766] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 23*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (26*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 767] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 26*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 768] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 769] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 770] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 771] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 772] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + (2*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 773] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 774] -> 
  -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 775] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 776] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + 
   z^2/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 14*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 777] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 10*a^4*z^2 + 18*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   5*a^2*z^4 - 18*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 778] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   2*z^2 + 11*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   18*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 779] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   3*a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 780] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 6*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 781] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 + z^4/a^2 + 
   6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 782] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 2*a^4*z^2 + 11*a^6*z^2 - 18*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 - 
   3*a^4*z^4 + 17*a^6*z^4 - 25*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   14*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 783] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 784] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 3*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (14*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (19*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 785] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 786] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   6*z^2 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 787] -> 
  -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 18*a^2*z^2 - 26*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 788] -> 
  1 + a^4 - 3*a^6 + 3*a^8 - a^10 + a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 - 2*z^4 + 3*a^2*z^4 + a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 - z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 789] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 
   18*a^2*z^2 - 26*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 
   29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 790] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 791] -> 
  -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + (2*z^4)/a^6 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, Alternating, 792] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 793] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 794] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (3*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 795] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 796] -> 5*a^2 - 12*a^4 + 14*a^6 - 7*a^8 + a^10 + 
   12*a^2*z^2 - 33*a^4*z^2 + 34*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 + 
   11*a^2*z^4 - 39*a^4*z^4 + 32*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   23*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 797] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   4*z^2 - 8*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   9*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 798] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 799] -> 
  1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^10 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 800] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 14*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 801] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 802] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (11*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 803] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 804] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + 11*a^2*z^2 - 27*a^4*z^2 + 25*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 + 10*a^2*z^4 - 36*a^4*z^4 + 28*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 22*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 805] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   2*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 806] -> 
  -3/a^12 + 6/a^10 - 6/a^8 + 4/a^6 - (3*z^2)/a^12 + (16*z^2)/a^10 - 
   (18*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (10*z^4)/a^10 - 
   (24*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 807] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) + 
   (6*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 808] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 809] -> 
  a^(-14) - 6/a^12 + 10/a^10 - 9/a^8 + 5/a^6 - (6*z^2)/a^12 + (22*z^2)/a^10 - 
   (22*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + (13*z^4)/a^10 - 
   (24*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 810] -> -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 + 
   (3*z^2)/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 811] -> 
  -a^(-12) + a^(-10) - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + z^2 + z^2/a^12 + 
   (2*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 812] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - 3*z^2 + 
   13*a^2*z^2 - 22*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 
   26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 813] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 814] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (5*z^4)/a^2 + 
   27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 815] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 816] -> 2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 + 
   a^4*z^2 + 13*a^6*z^2 - 22*a^8*z^2 + 15*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 
   20*a^6*z^4 - 27*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 817] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   2*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   13*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 818] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 819] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 820] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 821] -> 5*a^2 - 12*a^4 + 14*a^6 - 7*a^8 + a^10 + 
   12*a^2*z^2 - 33*a^4*z^2 + 34*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 + 
   11*a^2*z^4 - 39*a^4*z^4 + 32*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   23*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 822] -> -a^(-10) + a^(-8) + a^(-2) + 
   2*z^2 + z^2/a^10 + z^2/a^8 + z^2/a^6 - z^2/a^4 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 823] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (4*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 824] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 825] -> 
  -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 826] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 827] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 828] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 829] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (22*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 830] -> -2 + 8*a^2 - 12*a^4 + 12*a^6 - 5*a^8 - 5*z^2 + 
   21*a^2*z^2 - 31*a^4*z^2 + 29*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 
   35*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 831] -> -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 
   27*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (38*z^2)/a^2 + 7*a^2*z^2 - 33*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (37*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 832] -> -15 - 2/a^4 + 10/a^2 + 10*a^2 - 2*a^4 - 
   40*z^2 - (4*z^2)/a^4 + (23*z^2)/a^2 + 23*a^2*z^2 - 4*a^4*z^2 - 43*z^4 - 
   (3*z^4)/a^4 + (22*z^4)/a^2 + 22*a^2*z^4 - 3*a^4*z^4 - 24*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 833] -> -12 + a^(-6) - 7/a^4 + 15/a^2 + 
   4*a^2 - 28*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (38*z^2)/a^2 + 6*a^2*z^2 - 
   25*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + (41*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 834] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 835] -> 
  -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 12*a^4*z^2 + 34*a^6*z^2 - 9*a^8*z^2 - 
   4*a^10*z^2 - 13*a^4*z^4 + 36*a^6*z^4 + 6*a^8*z^4 - 8*a^10*z^4 - 
   6*a^4*z^6 + 21*a^6*z^6 + 12*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 836] -> -2*a^2 + 6*a^4 - 4*a^6 + 3*a^8 - 2*a^10 - 
   5*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 
   11*a^4*z^4 + a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 837] -> -12 + a^(-6) - 7/a^4 + 15/a^2 + 4*a^2 - 
   32*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (36*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (35*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 838] -> -15 - 2/a^4 + 10/a^2 + 10*a^2 - 
   2*a^4 - 38*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 
   37*z^4 - z^4/a^4 + (13*z^4)/a^2 + 33*a^2*z^4 - 9*a^4*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 839] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 
   2*a^2 - 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 840] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 18*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 841] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 22*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 842] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 
   3*z^2 + 14*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 843] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 844] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 845] -> 3/a^10 - 12/a^8 + 16/a^6 - 9/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (41*z^2)/a^6 - (29*z^2)/a^4 + (9*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (39*z^4)/a^6 - (36*z^4)/a^4 + (10*z^4)/a^2 - 
   (3*z^6)/a^8 + (17*z^6)/a^6 - (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 846] -> 
  1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 847] -> 3 - a^(-10) + 3/a^8 - 4/a^6 + 5/a^4 - 5/a^2 + 
   5*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (11*z^2)/a^4 - (11*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (6*z^4)/a^6 + (9*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 848] -> 2/a^14 - 8/a^12 + 10/a^10 - 6/a^8 + 2/a^6 + 
   a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (23*z^2)/a^10 - (13*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (13*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 849] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 5/a^8 - a^(-6) + 3/a^4 - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (9*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (8*z^4)/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 850] -> 
  -1 - a^(-8) + 5/a^6 - 11/a^4 + 10/a^2 - a^2 + z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (23*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 851] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (17*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 852] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 
   15*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   17*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 853] -> -1 + 4*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 854] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 
   14*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 855] -> -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (32*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (34*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 856] -> 
  -1 + 4*a^2 - 7*a^4 + 10*a^6 - 5*a^8 - 4*z^2 + 17*a^2*z^2 - 26*a^4*z^2 + 
   28*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 34*a^4*z^4 + 27*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 857] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   27*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (32*z^2)/a^2 + 8*a^2*z^2 - 35*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 858] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 + 
   2*z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 859] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (30*z^2)/a^6 - (28*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (33*z^4)/a^6 - (36*z^4)/a^4 + (10*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 860] -> -3 + 11*a^2 - 10*a^4 + 3*a^6 - 
   15*z^2 + (2*z^2)/a^2 + 34*a^2*z^2 - 26*a^4*z^2 + 6*a^6*z^2 - 19*z^4 + 
   (3*z^4)/a^2 + 40*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 861] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 
   2*a^6 - 4*z^2 + 15*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 24*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 862] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 
   2*a^6 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 863] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 864] -> -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 
   z^2 - z^2/a^8 + (9*z^2)/a^6 - (24*z^2)/a^4 + (19*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 865] -> 1 - a^(-2) + 6*a^2 - 8*a^4 + 3*a^6 - 5*z^2 + 
   20*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 
   21*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 866] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 11*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (28*z^2)/a^4 + (34*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (31*z^4)/a^4 + (39*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 867] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 
   3*a^2*z^2 + 4*a^4*z^2 + 9*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 13*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 868] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - a^2*z^2 - 
   8*a^4*z^2 + 32*a^6*z^2 - 13*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   30*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 869] -> -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 
   23*z^2 + (4*z^2)/a^6 - (23*z^2)/a^4 + (40*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (22*z^4)/a^4 + (43*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 870] -> 
  -6 - a^(-6) + 3/a^4 + a^(-2) + 4*a^2 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 871] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 
   4/a^2 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (19*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (18*z^4)/a^4 - 
   z^4/a^2 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 872] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 
   a^2*z^2 - 9*a^4*z^2 + 33*a^6*z^2 - 12*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 32*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   15*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 873] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 3*a^2*z^2 + 
   3*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   14*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 874] -> -12 + a^(-6) - 7/a^4 + 15/a^2 + 4*a^2 - 
   32*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (36*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (35*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 875] -> -15 - 2/a^4 + 10/a^2 + 10*a^2 - 
   2*a^4 - 38*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 
   37*z^4 - z^4/a^4 + (13*z^4)/a^2 + 33*a^2*z^4 - 9*a^4*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 876] -> -3 + 8*a^2 - 4*a^4 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 877] -> 1 - a^(-2) + 6*a^2 - 11*a^4 + 9*a^6 - 3*a^8 + 
   4*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 25*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 5*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 878] -> -7 + a^(-2) + 16*a^2 - 12*a^4 + 3*a^6 - 
   19*z^2 + (3*z^2)/a^2 + 39*a^2*z^2 - 27*a^4*z^2 + 6*a^6*z^2 - 20*z^4 + 
   (3*z^4)/a^2 + 41*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 879] -> 2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 
   3/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (34*z^2)/a^6 - (25*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (36*z^4)/a^6 - (33*z^4)/a^4 + 
   (9*z^4)/a^2 - (3*z^6)/a^8 + (17*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 880] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 881] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 33*z^2 - 
   (4*z^2)/a^4 + (21*z^2)/a^2 + 24*a^2*z^2 - 6*a^4*z^2 - 37*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 31*a^2*z^4 - 8*a^4*z^4 - 18*z^6 + (3*z^6)/a^2 + 
   20*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 882] -> -5 - a^(-6) + a^(-4) + 3/a^2 + 4*a^2 - a^4 - 
   9*z^2 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 883] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 884] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 885] -> 
  -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 2*a^2 - 4*z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 886] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   (2*z^2)/a^16 - (4*z^2)/a^14 - (14*z^2)/a^12 + (19*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (9*z^4)/a^14 - z^4/a^12 + (26*z^4)/a^10 + 
   (9*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 887] -> 
  a^(-16) - 3/a^14 + 3/a^12 - 4/a^10 + 3/a^8 + a^(-6) + z^2/a^16 - 
   (6*z^2)/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^4)/a^14 + (4*z^4)/a^12 + (5*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 888] -> 2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + 
   z^2 + z^2/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - (12*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (14*z^4)/a^4 + z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 889] -> a^(-12) - 4/a^10 + 3/a^8 + 2/a^6 - 3/a^4 + 
   2/a^2 + z^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (5*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 890] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + z^2/a^16 - z^2/a^14 - (15*z^2)/a^12 + 
   (16*z^2)/a^10 + (9*z^2)/a^8 - (3*z^4)/a^14 - (4*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (2*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 891] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + z^2 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (26*z^2)/a^6 - (9*z^2)/a^4 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 892] -> 2 + a^(-10) - 6/a^8 + 12/a^6 - 9/a^4 + 
   a^(-2) + 4*z^2 + z^2/a^10 - (9*z^2)/a^8 + (25*z^2)/a^6 - (21*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (20*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 893] -> 
  -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 5*z^2 + 23*a^2*z^2 - 34*a^4*z^2 + 
   26*a^6*z^2 - 6*a^8*z^2 - 4*z^4 + 23*a^2*z^4 - 38*a^4*z^4 + 24*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 894] -> 4 - a^(-2) - 4*a^2 + a^4 + 3*a^6 - 2*a^8 + 
   8*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 895] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 896] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 897] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (22*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 898] -> 2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 
   4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 899] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 
   2*a^8 - 5*z^2 + 22*a^2*z^2 - 30*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 
   23*a^2*z^4 - 37*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 900] -> -1 + 4*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 901] -> 3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 902] -> -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 9*a^4*z^2 + 
   22*a^6*z^2 + 6*a^8*z^2 - 8*a^10*z^2 - 12*a^4*z^4 + 30*a^6*z^4 + 
   13*a^8*z^4 - 9*a^10*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 13*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 903] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 
   2*a^2*z^2 - 2*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 18*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 904] -> -a^2 + 3*a^4 - 3*a^6 + 6*a^8 - 4*a^10 - 
   4*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 905] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 906] -> 
  -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - z^2/a^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 7*a^2*z^4 - 20*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + 2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 907] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 + 
   2*z^2 - z^2/a^2 + a^2*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 908] -> 
  -12 - a^(-4) + 5/a^2 + 15*a^2 - 6*a^4 - 33*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 33*a^2*z^2 - 9*a^4*z^2 - 37*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 909] -> -2 - a^(-4) + 3/a^2 - 2*a^2 + 6*a^4 - 3*a^6 - 
   6*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 
   7*z^4 - z^4/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 910] -> -12 - a^(-4) + 5/a^2 + 15*a^2 - 6*a^4 - 
   32*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 36*a^2*z^2 - 11*a^4*z^2 - 33*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 38*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 911] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 912] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - z^2/a^2 + 
   13*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 913] -> 
  -13 - a^(-4) + 6/a^2 + 14*a^2 - 5*a^4 - 34*z^2 - (2*z^2)/a^4 + 
   (14*z^2)/a^2 + 34*a^2*z^2 - 10*a^4*z^2 - 34*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   37*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 914] -> 
  2 - a^(-2) + 4*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 21*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 20*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 915] -> 3/a^10 - 12/a^8 + 16/a^6 - 9/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (41*z^2)/a^6 - (29*z^2)/a^4 + (9*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (39*z^4)/a^6 - (36*z^4)/a^4 + (10*z^4)/a^2 - 
   (3*z^6)/a^8 + (17*z^6)/a^6 - (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 916] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 917] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 918] -> -3 + 8*a^2 - 4*a^4 - 16*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 919] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 920] -> 1 - a^(-2) + 6*a^2 - 8*a^4 + 3*a^6 - 
   5*z^2 + 20*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   26*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 921] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 18*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 922] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 923] -> -13 - a^(-4) + 6/a^2 + 14*a^2 - 5*a^4 - 
   34*z^2 - (2*z^2)/a^4 + (14*z^2)/a^2 + 34*a^2*z^2 - 10*a^4*z^2 - 34*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 37*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 924] -> 2 - a^(-2) + 4*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 21*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 20*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 925] -> -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 
   23*z^2 + (4*z^2)/a^6 - (23*z^2)/a^4 + (40*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (22*z^4)/a^4 + (43*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 926] -> 
  -4*a^4 + 13*a^6 - 9*a^8 + a^10 - a^2*z^2 - 8*a^4*z^2 + 32*a^6*z^2 - 
   13*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 30*a^6*z^4 - 5*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 927] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - 3*z^4 + z^4/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 928] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 929] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 930] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 931] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + (6*z^2)/a^10 - (18*z^2)/a^8 + 
   (19*z^2)/a^6 - z^2/a^4 - z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (22*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 932] -> 
  3 - a^(-2) - 2*a^2 - a^4 + 5*a^6 - 3*a^8 + 6*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 933] -> 
  -5 + a^(-8) - 4/a^6 + 3/a^4 + 4/a^2 + 2*a^2 - 12*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 934] -> -2*a^2 + 5*a^4 - a^6 - a^10 - 5*a^2*z^2 + 
   10*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   11*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 935] -> -1 + 2*a^2 + a^4 - 2*a^6 + 3*a^8 - 2*a^10 - 
   2*z^2 + 3*a^2*z^2 + 4*a^4*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 936] -> 
  -4 - a^(-8) + 6/a^6 - 14/a^4 + 14/a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (33*z^2)/a^4 + (35*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (32*z^4)/a^4 + (39*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 937] -> -10 + 2/a^6 - 9/a^4 + 15/a^2 + 3*a^2 - 
   30*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (35*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 938] -> -3 + a^(-8) - 4/a^6 + 5/a^4 + 2*a^2 - 
   9*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 939] -> a^(-8) - 4/a^6 + 4/a^4 - z^2/a^12 + 
   (3*z^2)/a^10 - (8*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 940] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + (3*z^2)/a^16 - (9*z^2)/a^14 - 
   (10*z^2)/a^12 + (22*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (2*z^4)/a^12 + (29*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 941] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 + 
   z^2/a^16 - (4*z^2)/a^14 - (6*z^2)/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (12*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 942] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + 
   (6*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (22*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (6*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 943] -> 1 + 2/a^10 - 9/a^8 + 14/a^6 - 9/a^4 + 2/a^2 + 
   3*z^2 + z^2/a^10 - (12*z^2)/a^8 + (32*z^2)/a^6 - (27*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (24*z^4)/a^6 - (30*z^4)/a^4 + 
   z^4/a^2 + z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 944] -> -4 + 11*a^2 - 9*a^4 + 5*a^6 - 
   2*a^8 - 8*z^2 + 24*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 
   23*a^2*z^4 - 22*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 945] -> 5 - 2/a^2 - 4*a^2 + 3*a^4 - a^8 + 
   9*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   7*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 946] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 947] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 948] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (6*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 949] -> 
  2/a^14 - 7/a^12 + 6/a^10 - a^(-8) + a^(-4) + z^2/a^14 - (12*z^2)/a^12 + 
   (20*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (5*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 950] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + a^(-4) - 
   (4*z^2)/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^10 + z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 951] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 4*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 952] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 953] -> -2 - a^(-4) + 3/a^2 + a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 954] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 11*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 955] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 956] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 22*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 957] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 958] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 
   2*a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 959] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 960] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (22*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 961] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 2*a^2*z^2 - 
   4*a^4*z^2 + 24*a^6*z^2 - 5*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   26*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 962] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (28*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (32*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 963] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 964] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (21*z^2)/a^10 - (21*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (23*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 965] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 
   3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (25*z^2)/a^6 - (23*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - (27*z^4)/a^4 + z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 966] -> 1 - a^(-2) + a^2 + a^4 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 967] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   (3*z^2)/a^16 - (12*z^2)/a^14 - (5*z^2)/a^12 + (22*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + (2*z^4)/a^12 + (34*z^4)/a^10 + 
   (6*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 968] -> 
  -a^(-2) + 4*a^2 - a^4 - a^6 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 969] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + 
   z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 970] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + (3*z^2)/a^16 - 
   (10*z^2)/a^14 - (5*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - 
   (11*z^4)/a^14 + (4*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 - 
   (3*z^6)/a^14 + (7*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 971] -> 
  2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (11*z^2)/a^12 + 
   (16*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 972] -> 1 - 2/a^8 + 8/a^6 - 12/a^4 + 7/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (26*z^2)/a^4 + (13*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 973] -> 1 - 2/a^8 + 8/a^6 - 12/a^4 + 7/a^2 - a^2 + 
   2*z^2 - z^2/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 974] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 
   z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - 
   (5*z^4)/a^6 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 975] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (12*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^4 + 
   z^2/a^2 + (8*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 976] -> a^(-16) - 2/a^14 - a^(-12) + a^(-10) + 
   a^(-8) + a^(-6) + z^2/a^16 - (5*z^2)/a^14 - (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 977] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + (5*z^4)/a^10 - z^4/a^8 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 978] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 
   7*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 979] -> 
  -2 - 2/a^8 + 9/a^6 - 15/a^4 + 11/a^2 - 5*z^2 - (5*z^2)/a^8 + (23*z^2)/a^6 - 
   (37*z^2)/a^4 + (24*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (39*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 980] -> -10 + 2/a^2 + 17*a^2 - 9*a^4 + 
   a^6 - 25*z^2 + (5*z^2)/a^2 + 41*a^2*z^2 - 20*a^4*z^2 + 3*a^6*z^2 - 
   24*z^4 + (4*z^4)/a^2 + 42*a^2*z^4 - 20*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   z^6/a^2 + 23*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 981] -> 
  5 - a^(-8) + 3/a^6 - a^(-4) - 4/a^2 - a^2 + 8*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 982] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 7*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 983] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 984] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 6*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 985] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 986] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 987] -> 
  -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 2*a^2*z^2 - 3*a^4*z^2 + 20*a^6*z^2 - 
   4*a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 25*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 988] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 
   z^2 + 16*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - z^4 + 4*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 989] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (9*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 990] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 991] -> -6 - a^(-6) + a^(-4) + 3/a^2 + 6*a^2 - 2*a^4 - 
   10*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 992] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 993] -> 
  4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + z^2/a^16 - (20*z^2)/a^12 + 
   (22*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^14 - (6*z^4)/a^12 + 
   (22*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (2*z^6)/a^12 + (8*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 994] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + z^2/a^14 - (11*z^2)/a^12 + 
   (19*z^2)/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (5*z^6)/a^10 - 
   (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 995] -> -3 + 7*a^2 - 4*a^4 + 3*a^6 - 2*a^8 - z^2 - 
   (2*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 996] -> 1 - a^(-2) + a^2 + a^4 - a^8 + 4*z^2 - 
   z^2/a^4 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 997] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 29*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 31*a^2*z^2 - 10*a^4*z^2 - 32*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 37*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 998] -> -4 - a^(-6) + 2/a^4 + 7*a^2 - 3*a^4 - 6*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 999] -> 
  2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (20*z^2)/a^8 + (22*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (25*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1000] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) + z^2/a^14 - (9*z^2)/a^12 + (18*z^2)/a^10 - (13*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (18*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1001] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (19*z^2)/a^10 - (18*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (20*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1002] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 1003] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (18*z^2)/a^10 - (13*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (19*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1004] -> 2 + a^(-10) - 6/a^8 + 12/a^6 - 9/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - 
   (17*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (20*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1005] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 1006] -> 2/a^14 - 6/a^12 + 3/a^10 + 
   a^(-8) + a^(-6) + z^2/a^16 - (2*z^2)/a^14 - (9*z^2)/a^12 + (11*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 - z^4/a^12 + (13*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 1007] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - 
   a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1008] -> 
  -2*a^2 + 4*a^4 + 3*a^6 - 5*a^8 + a^10 - 5*a^2*z^2 + 8*a^4*z^2 + 
   13*a^6*z^2 - 9*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1009] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 1010] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (35*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (34*z^4)/a^6 - (36*z^4)/a^4 + (10*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1011] -> 
  2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1012] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 1013] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 
   4*a^4 - 27*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 22*a^2*z^2 - 5*a^4*z^2 - 
   30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 1014] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 1015] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (22*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1016] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 2*a^2*z^2 - 
   4*a^4*z^2 + 24*a^6*z^2 - 5*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   26*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1017] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (9*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 1018] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (20*z^4)/a^4 + z^4/a^2 + z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 - 
   z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1019] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - a^4 - 13*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1020] -> 
  1 - a^(-6) + 3/a^4 - 4/a^2 + 5*a^2 - 3*a^4 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1021] -> a^(-14) - 4/a^12 + 7/a^10 - 
   8/a^8 + 4/a^6 + a^(-4) + z^2/a^14 - (9*z^2)/a^12 + (21*z^2)/a^10 - 
   (21*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - 
   (23*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1022] -> 
  3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + z^2/a^16 - z^2/a^14 - (13*z^2)/a^12 + 
   (12*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - (3*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1023] -> 
  1 - 2/a^8 + 8/a^6 - 12/a^4 + 7/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (26*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1024] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1025] -> -2 - a^(-4) + 3/a^2 + a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1026] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 11*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1027] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1028] -> 3 - a^(-2) - 3*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 
   6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1029] -> a^(-6) - 3/a^4 + 3/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1030] -> -4 - a^(-8) + 6/a^6 - 14/a^4 + 14/a^2 - 
   11*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (33*z^2)/a^4 + (35*z^2)/a^2 - 
   11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (32*z^4)/a^4 + (39*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1031] -> 
  -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - z^2 - a^2*z^2 + 4*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 1032] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1033] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   28*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 31*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1034] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 
   4*a^4 - 26*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 - 
   30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 1035] -> 
  2 - a^(-2) + 2*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1036] -> 3 - a^(-2) - 2*a^2 - a^4 + 5*a^6 - 3*a^8 + 
   6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1037] -> a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + a^(-4) + 
   z^2/a^14 - (6*z^2)/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^4)/a^12 + (7*z^4)/a^10 + (4*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, Alternating, 1038] -> 4 - 2/a^2 + a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 + 8*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1039] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 2*a^4 + 2*a^6 - 
   a^8 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6, Knot[14, Alternating, 1040] -> 1 + a^(-12) - 4/a^10 + 5/a^8 - 
   4/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - 
   (10*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (6*z^4)/a^8 - 
   (10*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, Alternating, 1041] -> 
  3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + z^2/a^16 - z^2/a^14 - (13*z^2)/a^12 + 
   (12*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - (3*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1042] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (22*z^2)/a^6 - (24*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (25*z^4)/a^6 - (28*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1043] -> 3 - 2/a^8 + 5/a^6 - 2/a^4 - 
   3/a^2 + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1044] -> -8 - a^(-6) + 2/a^4 + 3/a^2 + 
   6*a^2 - a^4 - 12*z^2 - z^2/a^6 + (4*z^2)/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1045] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 28*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   23*a^2*z^2 - 6*a^4*z^2 - 31*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1046] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (29*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (30*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1047] -> 
  -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - 3*a^2*z^2 + a^4*z^2 + 18*a^6*z^2 - 
   5*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 23*a^6*z^4 - 3*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1048] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 30*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (29*z^2)/a^2 + 10*a^2*z^2 - 38*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (31*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1049] -> -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (29*z^2)/a^4 + (24*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1050] -> 
  2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (35*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (34*z^4)/a^6 - (36*z^4)/a^4 + (10*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1051] -> 2 - a^(-2) + 2*a^2 - 6*a^4 + 
   7*a^6 - 3*a^8 + 5*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 14*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 15*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 1052] -> 1 + a^(-8) - 4/a^6 + 3/a^4 + 
   a^(-2) - a^2 + z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1053] -> -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (25*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1054] -> -4 - 3/a^4 + 7/a^2 + a^2 - 7*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1055] -> 
  1 + a^(-12) - 4/a^10 + 4/a^8 + 2/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (6*z^4)/a^8 - (4*z^4)/a^6 - (11*z^4)/a^4 - (3*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[14, Alternating, 1056] -> 5 - 2/a^2 - 3*a^2 + 3*a^6 - 
   2*a^8 + 9*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 + 7*z^4 - z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1057] -> -a^(-4) + 2/a^2 - 2*a^2 + 3*a^4 - a^8 - 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 1058] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1059] -> 
  1 + a^(-12) - 4/a^10 + 4/a^8 - a^(-4) + 2*z^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^2 + z^4 + (6*z^4)/a^8 - 
   (8*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, Alternating, 1060] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1061] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - z^2/a^12 + (4*z^2)/a^10 - 
   z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + z^4/a^6 + z^4/a^4 - z^4/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1062] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 1063] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1064] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1065] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1066] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (22*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (26*z^4)/a^6 - (26*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1067] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (25*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1068] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + z^2 - z^2/a^2 + 7*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1069] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 1070] -> 
  -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - z^2 - a^2*z^2 + 4*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 1071] -> a^(-8) - 4/a^6 + 4/a^4 - z^2/a^12 + 
   (3*z^2)/a^10 - (8*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1072] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^12 + (15*z^2)/a^10 - 
   (24*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - 
   (29*z^4)/a^8 + (18*z^4)/a^6 - (3*z^4)/a^4 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (14*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, Alternating, 1073] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1074] -> 
  -5 - 3/a^4 + 8/a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (18*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 1075] -> 
  -2 + 3*a^2 + a^4 + a^6 - 2*a^8 - 7*z^2 + 14*a^2*z^2 - 3*a^4*z^2 + 
   9*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 12*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1076] -> -3 + 6*a^2 - a^4 - a^8 - z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1077] -> 
  4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + (10*z^2)/a^16 - (43*z^2)/a^14 + 
   (31*z^2)/a^12 + (16*z^2)/a^10 + (6*z^4)/a^16 - (49*z^4)/a^14 + 
   (58*z^4)/a^12 + (29*z^4)/a^10 + z^6/a^16 - (21*z^6)/a^14 + (46*z^6)/a^12 + 
   (23*z^6)/a^10 - (3*z^8)/a^14 + (16*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 1078] -> 
  3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + (4*z^2)/a^16 - (19*z^2)/a^14 + 
   (7*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + 
   (12*z^4)/a^12 + (27*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + 
   (9*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 1079] -> 3/a^16 - 7/a^14 + 5/a^10 + 
   (4*z^2)/a^16 - (18*z^2)/a^14 + (2*z^2)/a^12 + (22*z^2)/a^10 + 
   (3*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (10*z^4)/a^12 + (31*z^4)/a^10 + 
   (7*z^4)/a^8 - (3*z^6)/a^14 + (9*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1080] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (7*z^2)/a^14 - 
   (3*z^2)/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (14*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1081] -> 
  -6 - 2/a^4 + 6/a^2 + 3*a^2 + a^4 - a^6 - 19*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 6*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 10*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 1082] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (20*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (14*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1083] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 + (5*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 + 
   z^4/a^16 - (12*z^4)/a^14 + (12*z^4)/a^12 + (16*z^4)/a^10 + (12*z^4)/a^8 - 
   (3*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1084] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (4*z^2)/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1085] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1086] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + 
   a^(-2) - z^2 + (4*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - z^4 - (5*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 1087] -> 
  2/a^16 - 6/a^14 + 4/a^12 - a^(-10) + a^(-8) + a^(-6) + z^2/a^16 - 
   (9*z^2)/a^14 + (8*z^2)/a^12 + z^2/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^4)/a^14 + (7*z^4)/a^12 + (5*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1088] -> a^(-16) - 2/a^14 - a^(-12) + a^(-10) + 
   a^(-8) + a^(-6) - (3*z^2)/a^14 + (4*z^2)/a^10 + (4*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 1089] -> 
  -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 4*z^2 - (4*z^2)/a^8 + (20*z^2)/a^6 - 
   (34*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (22*z^4)/a^6 - 
   (39*z^4)/a^4 + (22*z^4)/a^2 - z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1090] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 
   3/a^2 + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1091] -> -1 + 4*a^2 - 2*a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 1092] -> 
  5 - 2/a^2 - 5*a^4 + 4*a^6 - a^8 + 9*z^2 - (3*z^2)/a^2 + a^2*z^2 - 
   15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 7*z^4 - z^4/a^2 - 17*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1093] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1094] -> 
  -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 19*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (33*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (38*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1095] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1096] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - (32*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (22*z^4)/a^6 - (38*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 1097] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 16*z^2 + (5*z^2)/a^6 - (24*z^2)/a^4 + 
   (36*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + 
   (41*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1098] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 
   7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1099] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 
   5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1100] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (24*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (28*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1101] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1102] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1103] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1104] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1105] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 22*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1106] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1107] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1108] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 19*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (24*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1109] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (22*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1110] -> 
  -2 + 3*a^2 + a^4 + a^6 - 2*a^8 - z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   8*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1111] -> 
  -3 + 6*a^2 - a^4 - a^8 - z^2/a^4 + 8*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 1112] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 12*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1113] -> 2/a^16 - 3/a^14 - 5/a^12 + 
   7/a^10 + (3*z^2)/a^16 - (11*z^2)/a^14 - (10*z^2)/a^12 + (28*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + (38*z^4)/a^10 + (5*z^4)/a^8 - 
   (3*z^6)/a^14 + (6*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1114] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + z^2/a^16 - (4*z^2)/a^14 - 
   (10*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - 
   z^4/a^12 + (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1115] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + (3*z^2)/a^16 - (12*z^2)/a^14 - 
   (5*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (2*z^4)/a^12 + (34*z^4)/a^10 + (6*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 1116] -> 2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + 3*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1117] -> -6 - 2/a^4 + 6/a^2 + 3*a^2 + a^4 - a^6 - 
   14*z^2 - z^2/a^6 + z^2/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 5*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6, Knot[14, Alternating, 1118] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1119] -> -1 - a^(-8) + 5/a^6 - 11/a^4 + 10/a^2 - a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (23*z^2)/a^4 + (21*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1120] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + z^2/a^16 - 
   z^2/a^14 - (14*z^2)/a^12 + (15*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   (3*z^4)/a^14 - (3*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1121] -> -5 - 3/a^4 + 8/a^2 + a^4 - 7*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2, Knot[14, Alternating, 1122] -> 1 - 2/a^8 + 6/a^6 - 4/a^4 - 
   a^(-2) + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 1123] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1124] -> -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 1125] -> 
  -8 - a^(-6) + 2/a^4 + 3/a^2 + 6*a^2 - a^4 - 19*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 + 10*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 1126] -> 
  1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1127] -> 3 - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1128] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1129] -> 
  -6 - a^(-8) + 7/a^6 - 18/a^4 + 19/a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (41*z^2)/a^4 + (45*z^2)/a^2 - 12*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (37*z^4)/a^4 + (45*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (24*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1130] -> -15 + 2/a^6 - 10/a^4 + 19/a^2 + 5*a^2 - 
   40*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (43*z^2)/a^2 + 12*a^2*z^2 - 42*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (39*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1131] -> -8 + a^(-8) - 4/a^6 + 4/a^4 + 4/a^2 + 
   4*a^2 - 14*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1132] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   28*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1133] -> -6 + a^(-2) + 13*a^2 - 9*a^4 + 
   2*a^6 - 16*z^2 + (3*z^2)/a^2 + 30*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1134] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1135] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (22*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (26*z^4)/a^6 - (26*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1136] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1137] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 1138] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 15*z^2 - z^2/a^6 + z^2/a^4 + 
   (8*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1139] -> -3 + 7*a^2 - 4*a^4 + 3*a^6 - 2*a^8 - z^2 - 
   (2*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1140] -> -8 - a^(-4) + 3/a^2 + 13*a^2 - 6*a^4 - 
   26*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 35*a^2*z^2 - 12*a^4*z^2 - 30*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 39*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1141] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 
   2*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1142] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + (3*z^2)/a^16 - (8*z^2)/a^14 - 
   (17*z^2)/a^12 + (32*z^2)/a^10 + z^2/a^8 + z^4/a^16 - (11*z^4)/a^14 - 
   (3*z^4)/a^12 + (41*z^4)/a^10 + (4*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (22*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 1143] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 + z^2/a^16 - (4*z^2)/a^14 - (7*z^2)/a^12 + (9*z^2)/a^10 + 
   (11*z^2)/a^8 - (3*z^4)/a^14 - z^4/a^12 + (14*z^4)/a^10 + (13*z^4)/a^8 + 
   z^4/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1144] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 1145] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + 4*z^2 - z^2/a^4 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - z^6 - 
   3*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 1146] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^2, Knot[14, Alternating, 1147] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1148] -> 
  2 + a^(-10) - 6/a^8 + 12/a^6 - 9/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (25*z^2)/a^6 - (17*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (20*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1149] -> -2*a^2 + 4*a^4 + 3*a^6 - 5*a^8 + a^10 - z^2 - 
   2*a^2*z^2 + 7*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 - z^4 + 6*a^4*z^4 + 
   10*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 1150] -> -a^2 - a^4 + 12*a^6 - 12*a^8 + 
   3*a^10 - 3*a^2*z^2 - 2*a^4*z^2 + 30*a^6*z^2 - 20*a^8*z^2 + 2*a^10*z^2 - 
   3*a^2*z^4 + 29*a^6*z^4 - 10*a^8*z^4 - a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   14*a^6*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1151] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1152] -> -6 + 3/a^6 - 13/a^4 + 17/a^2 - 
   16*z^2 + (6*z^2)/a^6 - (29*z^2)/a^4 + (42*z^2)/a^2 + a^2*z^2 - 17*z^4 + 
   (4*z^4)/a^6 - (26*z^4)/a^4 + (44*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1153] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1154] -> -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 1155] -> 
  -8 - a^(-6) + 2/a^4 + 3/a^2 + 6*a^2 - a^4 - 19*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 + 10*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 1156] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1157] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (28*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (29*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1158] -> 2 + a^(-10) - 3/a^8 + a^(-6) + 
   4/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1159] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 
   9/a^2 - 8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + (26*z^2)/a^2 - 
   8*z^4 - z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1160] -> 
  -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 18*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + 
   (28*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1161] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1162] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   29*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1163] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (25*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1164] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1165] -> 
  -10 + 2/a^6 - 9/a^4 + 15/a^2 + 3*a^2 - 30*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (35*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1166] -> -8 - a^(-6) + 2/a^4 + 3/a^2 + 6*a^2 - a^4 - 
   12*z^2 - z^2/a^6 + (4*z^2)/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1167] -> 
  -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 7*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (29*z^2)/a^4 + (24*z^2)/a^2 - 8*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (29*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1168] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   30*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (29*z^2)/a^2 + 10*a^2*z^2 - 38*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (31*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1169] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 
   2/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (29*z^2)/a^6 - (20*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (30*z^4)/a^6 - (27*z^4)/a^4 + 
   (7*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 1170] -> -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - 
   3*a^2*z^2 + a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 
   a^4*z^4 + 23*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1171] -> -5 + a^(-8) - 4/a^6 + 3/a^4 + 4/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1172] -> -2*a^2 + 5*a^4 - a^6 - a^10 - 5*a^2*z^2 + 
   10*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   11*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1173] -> -a^(-2) + 6*a^2 - 7*a^4 + 5*a^6 - 2*a^8 + 
   5*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 18*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 
   7*z^4 - z^4/a^2 + 4*a^2*z^4 - 19*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1174] -> 4 - 2/a^2 - 2*a^4 + 2*a^6 - a^8 + 7*z^2 - 
   z^2/a^4 - 3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 - 3*a^2*z^6 - 
   2*a^4*z^6, Knot[14, Alternating, 1175] -> 3/a^14 - 10/a^12 + 10/a^10 - 
   5/a^8 + 3/a^6 + (4*z^2)/a^14 - (24*z^2)/a^12 + (34*z^2)/a^10 - 
   (16*z^2)/a^8 + (10*z^2)/a^6 + z^4/a^14 - (16*z^4)/a^12 + (40*z^4)/a^10 - 
   (23*z^4)/a^8 + (12*z^4)/a^6 - (3*z^6)/a^12 + (19*z^6)/a^10 - 
   (18*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, Alternating, 1176] -> 2/a^14 - 6/a^12 + 4/a^10 + 
   a^(-4) + z^2/a^14 - (9*z^2)/a^12 + (10*z^2)/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^4 - (3*z^4)/a^12 + (10*z^4)/a^10 + z^4/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 1177] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 4*a^2 + 3*a^4 - a^6 + 9*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 1178] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 5/a^8 - 3/a^6 + 2/a^4 + z^2/a^14 - 
   (6*z^2)/a^12 + (2*z^2)/a^10 + (11*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^4)/a^12 + (7*z^4)/a^10 + (6*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1179] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   a^(-4) + a^(-2) - (3*z^2)/a^12 + (4*z^2)/a^10 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 + z^4/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, Alternating, 1180] -> 
  1 + a^(-12) - 4/a^10 + 3/a^8 + 4/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^4 + z^2/a^2 + z^4 + (6*z^4)/a^8 - 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, Alternating, 1181] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 14/a^6 - a^(-4) - a^(-2) - z^2/a^12 + 
   (10*z^2)/a^10 - (33*z^2)/a^8 + (35*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (23*z^4)/a^8 + (33*z^4)/a^6 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1182] -> 1 - a^(-6) + 3/a^4 - 4/a^2 + 5*a^2 - 3*a^4 + 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1183] -> 
  -a^(-12) + 6/a^10 - 14/a^8 + 12/a^6 - 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (27*z^2)/a^8 + (30*z^2)/a^6 - (6*z^2)/a^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (28*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - 
   z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1184] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + (3*z^2)/a^16 - (8*z^2)/a^14 - 
   (17*z^2)/a^12 + (32*z^2)/a^10 + z^2/a^8 + z^4/a^16 - (11*z^4)/a^14 - 
   (3*z^4)/a^12 + (41*z^4)/a^10 + (4*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (22*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 1185] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 + z^2/a^16 - (4*z^2)/a^14 - (7*z^2)/a^12 + (9*z^2)/a^10 + 
   (11*z^2)/a^8 - (3*z^4)/a^14 - z^4/a^12 + (14*z^4)/a^10 + (13*z^4)/a^8 + 
   z^4/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1186] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (19*z^2)/a^10 - (18*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (20*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 1187] -> 5 - 2/a^2 + a^2 - 9*a^4 + 9*a^6 - 
   3*a^8 + 9*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 19*a^4*z^2 + 16*a^6*z^2 - 
   3*a^8*z^2 + 7*z^4 - z^4/a^2 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1188] -> -11 + 2/a^2 + 21*a^2 - 14*a^4 + 3*a^6 - 
   27*z^2 + (5*z^2)/a^2 + 49*a^2*z^2 - 30*a^4*z^2 + 6*a^6*z^2 - 25*z^4 + 
   (4*z^4)/a^2 + 47*a^2*z^4 - 26*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   24*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 1189] -> -13 - a^(-4) + 6/a^2 + 14*a^2 - 
   5*a^4 - 32*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 28*a^2*z^2 - 7*a^4*z^2 - 
   32*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 1190] -> 
  -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 26*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1191] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (29*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1192] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1193] -> 4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (2*z^2)/a^14 - (22*z^2)/a^12 + (28*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (8*z^4)/a^14 - (8*z^4)/a^12 + (36*z^4)/a^10 + 
   (6*z^4)/a^8 - (3*z^6)/a^14 + (4*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1194] -> 
  -4 + 10*a^2 - 6*a^4 + 2*a^6 - a^8 - 5*z^2 - z^2/a^2 + 19*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 
   10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1195] -> 
  1 - a^(-2) + 2*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1196] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + (3*z^2)/a^16 - (11*z^2)/a^14 - 
   (10*z^2)/a^12 + (28*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (38*z^4)/a^10 + (5*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 1197] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + a^2 + a^4 - 
   a^6 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 1198] -> 2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 2/a^6 + 
   a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (24*z^2)/a^10 - (17*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (22*z^4)/a^10 - (21*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1199] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 9/a^6 + a^(-4) - a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (27*z^2)/a^8 + (26*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (28*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 1200] -> a^(-16) - 7/a^12 + 6/a^10 + 
   a^(-8) + z^2/a^16 - (4*z^2)/a^14 - (10*z^2)/a^12 + (16*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - z^4/a^12 + (17*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 1201] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 
   2/a^4 - 2/a^2 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1202] -> 
  -9 - a^(-6) + a^(-4) + 5/a^2 + 5*a^2 + a^4 - a^6 - 18*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^4 + 3*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 1203] -> 2/a^14 - 8/a^12 + 11/a^10 - 7/a^8 + a^(-6) + 
   2/a^4 + z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (16*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (16*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (5*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1204] -> 
  a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   (4*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (5*z^4)/a^10 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1205] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + z^2/a^16 - z^2/a^14 - (14*z^2)/a^12 + 
   (15*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - (3*z^4)/a^12 + 
   (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1206] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + 2*a^6 - a^8 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 1207] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 18*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (30*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1208] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1209] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   23*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 1210] -> -7 + 2/a^6 - 8/a^4 + 12/a^2 + 
   2*a^2 - 18*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1211] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 1212] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 29*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 
   17*a^2*z^2 - 3*a^4*z^2 - 32*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 
   16*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1213] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1214] -> 1 + a^(-8) - 4/a^6 + 3/a^4 + a^(-2) - a^2 + 
   z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1215] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 8*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (25*z^2)/a^2 - 16*z^4 + z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 
   4*a^2*z^4 - 14*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 1216] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1217] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 5*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 1218] -> 
  2 - a^(-2) - 2*a^2 + 3*a^4 + a^6 - 2*a^8 + 6*z^2 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1219] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + 3*z^2 - z^2/a^4 + a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 1220] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 3*a^2 + a^4 - a^6 - 8*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 1221] -> a^(-14) - 4/a^12 + 6/a^10 - 
   5/a^8 + a^(-6) + 2/a^4 + z^2/a^14 - (9*z^2)/a^12 + (18*z^2)/a^10 - 
   (12*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - 
   (13*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1222] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1223] -> a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - a^(-6) + 
   a^(-4) + a^(-2) - (4*z^2)/a^12 + (9*z^2)/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (5*z^4)/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 1224] -> 3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1225] -> 
  -a^(-4) + 2/a^2 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 1226] -> 3 + a^(-4) - 4/a^2 + 5*a^2 - 5*a^4 + a^6 + 
   3*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 + z^4/a^4 - (6*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 1227] -> -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 
   6*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1228] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1229] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 15*z^2 + (3*z^2)/a^2 + 26*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1230] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1231] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1232] -> a^(-6) - 3/a^4 + 3/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1233] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1234] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - (3*z^2)/a^12 + (15*z^2)/a^10 - (24*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - (29*z^4)/a^8 + (18*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (16*z^6)/a^8 + (14*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 1235] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + 
   a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1236] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (21*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (19*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1237] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1238] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 13*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + a^6*z^2 + 9*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1239] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 31*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 
   21*a^2*z^2 - 5*a^4*z^2 - 37*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1240] -> -4 - 2/a^4 + 6/a^2 - a^2 + 3*a^4 - a^6 - 
   8*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 
   7*z^4 - z^4/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 1241] -> a^(-10) - 6/a^8 + 14/a^6 - 15/a^4 + 7/a^2 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (34*z^2)/a^6 - (34*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (32*z^4)/a^6 - (33*z^4)/a^4 + (8*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1242] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 18*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (30*z^2)/a^2 + 4*a^2*z^2 - 23*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (30*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1243] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   25*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 27*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1244] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   22*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 1245] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (28*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (32*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1246] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 1247] -> 
  -4 + 10*a^2 - 6*a^4 + 2*a^6 - a^8 - 5*z^2 - z^2/a^2 + 19*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 
   10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1248] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1249] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1250] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 15*z^2 + 
   (4*z^2)/a^6 - (20*z^2)/a^4 + (31*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (33*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 1251] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1252] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 3*z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1253] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1254] -> -3 - a^(-6) + 3/a^4 - a^(-2) + 4*a^2 - a^4 - 
   7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1255] -> 
  -a^2 + 8*a^6 - 7*a^8 + a^10 - 3*a^2*z^2 + 22*a^6*z^2 - 10*a^8*z^2 - 
   a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 24*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1256] -> 
  -13 - a^(-4) + 6/a^2 + 14*a^2 - 5*a^4 - 32*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 28*a^2*z^2 - 7*a^4*z^2 - 32*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1257] -> a^(-14) - 6/a^12 + 14/a^10 - 15/a^8 + 5/a^6 + 
   2/a^4 + z^2/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 - (33*z^2)/a^8 + 
   (9*z^2)/a^6 + (5*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (31*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1258] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 3/a^8 - 4/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^12 + 
   (13*z^2)/a^10 - (7*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (6*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1259] -> 
  -8 - a^(-4) + 3/a^2 + 13*a^2 - 6*a^4 - 26*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 35*a^2*z^2 - 12*a^4*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   39*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1260] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1261] -> -17 - 2/a^4 + 9/a^2 + 17*a^2 - 
   6*a^4 - 43*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 36*a^2*z^2 - 9*a^4*z^2 - 
   43*z^4 - (4*z^4)/a^4 + (24*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 23*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 1262] -> 
  -7 - 2/a^4 + 7/a^2 + 6*a^4 - 3*a^6 - 11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   5*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 8*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 1263] -> 
  -3 - a^(-6) + 3/a^4 - a^(-2) + 4*a^2 - a^4 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 1264] -> 
  -13 + a^(-6) - 6/a^4 + 14/a^2 + 5*a^2 - 35*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (33*z^2)/a^2 + 11*a^2*z^2 - 39*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (32*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1265] -> -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 
   31*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 31*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1266] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 
   4/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + (33*z^2)/a^6 - (25*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (31*z^4)/a^6 - (28*z^4)/a^4 + 
   (7*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 1267] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1268] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1269] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 3*a^2 + a^4 - 
   a^6 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 1270] -> 
  2/a^14 - 9/a^12 + 15/a^10 - 12/a^8 + 3/a^6 + 2/a^4 + z^2/a^14 - 
   (13*z^2)/a^12 + (33*z^2)/a^10 - (29*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (25*z^4)/a^10 - (29*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 1271] -> a^(-14) - 4/a^12 + 5/a^10 - 
   2/a^8 - a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (4*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 1272] -> 1 + a^(-10) - 6/a^8 + 11/a^6 - 8/a^4 + 
   2/a^2 + 2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1273] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - a^4 - 13*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1274] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 10/a^8 + 4/a^6 + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (28*z^2)/a^10 - (25*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (26*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1275] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1276] -> 
  4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + z^2/a^16 - (20*z^2)/a^12 + 
   (22*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^14 - (6*z^4)/a^12 + 
   (22*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (2*z^6)/a^12 + (8*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1277] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 12*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1278] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 
   4/a^6 + z^2/a^14 - (11*z^2)/a^12 + (19*z^2)/a^10 - (12*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - (11*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1279] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1280] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1281] -> a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + a^(-6) + 
   a^(-4) + a^(-2) - (5*z^2)/a^12 + (16*z^2)/a^10 - (13*z^2)/a^8 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (8*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 1282] -> -1 - a^(-8) + 5/a^6 - 11/a^4 + 10/a^2 - a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (23*z^2)/a^4 + (21*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1283] -> 1 + 2/a^10 - 9/a^8 + 12/a^6 - 5/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (15*z^2)/a^8 + (27*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1284] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1285] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1286] -> 
  3 - a^(-6) + 4/a^4 - 6/a^2 + 3*a^2 - 2*a^4 + 2*z^2 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (12*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 2*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1287] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 2*a^2 + a^4 - a^6 - 4*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 1288] -> -1 + a^(-4) - 3/a^2 + 10*a^2 - 7*a^4 + a^6 - 
   z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 + 
   z^4 + z^4/a^4 - (6*z^4)/a^2 + 19*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 1289] -> -2/a^12 + 11/a^10 - 21/a^8 + 15/a^6 - 2/a^4 - 
   (3*z^2)/a^12 + (21*z^2)/a^10 - (47*z^2)/a^8 + (39*z^2)/a^6 - (7*z^2)/a^4 - 
   z^4/a^12 + (14*z^4)/a^10 - (42*z^4)/a^8 + (40*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^6)/a^10 - (18*z^6)/a^8 + (22*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 1290] -> 
  -a^(-12) + 5/a^10 - 7/a^8 + 5/a^4 - a^(-2) - z^2/a^12 + (7*z^2)/a^10 - 
   (12*z^2)/a^8 + (11*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^10 - (9*z^4)/a^8 + 
   z^4/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1291] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1292] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (18*z^2)/a^6 - z^2/a^4 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1293] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1294] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   25*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 27*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1295] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1296] -> 2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (28*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (29*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1297] -> 
  2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1298] -> 
  2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1299] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1300] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 15*z^2 + 
   (4*z^2)/a^6 - (20*z^2)/a^4 + (31*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (33*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 1301] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 
   3*a^2 - 20*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1302] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 27*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 22*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1303] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1304] -> 1 + a^(-10) - 6/a^8 + 11/a^6 - 8/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (9*z^2)/a^8 + (25*z^2)/a^6 - (22*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (25*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1305] -> 1 - a^(-2) + a^2 + a^4 - a^8 + 
   2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1306] -> 1 + a^(-10) - 6/a^8 + 11/a^6 - 8/a^4 + 
   2/a^2 + 2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1307] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + a^(-6) + a^(-4) + a^(-2) - 
   (5*z^2)/a^12 + (16*z^2)/a^10 - (13*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (8*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1308] -> 
  1 + 2/a^10 - 9/a^8 + 12/a^6 - 5/a^4 + 2*z^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (27*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (22*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1309] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (12*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^4 + 
   z^2/a^2 + (8*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 1310] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1311] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   14*a^2*z^4 - 2*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1312] -> -1 - 2/a^8 + 10/a^6 - 16/a^4 + 10/a^2 - 
   3*z^2 - (5*z^2)/a^8 + (25*z^2)/a^6 - (40*z^2)/a^4 + (21*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (42*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (23*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 1313] -> 
  -6 + 3/a^6 - 13/a^4 + 17/a^2 - 16*z^2 + (6*z^2)/a^6 - (29*z^2)/a^4 + 
   (42*z^2)/a^2 + a^2*z^2 - 17*z^4 + (4*z^4)/a^6 - (26*z^4)/a^4 + 
   (44*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 + z^6/a^6 - (11*z^6)/a^4 + (24*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1314] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1315] -> -2 + 7*a^2 - 5*a^4 + a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   27*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1316] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 3*a^2 + 3*a^4 - 
   a^6 + 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 1317] -> -a^(-12) + 6/a^10 - 11/a^8 + 5/a^6 + 3/a^4 - 
   a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (14*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (15*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1318] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1319] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1320] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + (23*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1321] -> 
  2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (24*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (28*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1322] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 
   4*a^2 - 22*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 
   19*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1323] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 8*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (25*z^2)/a^2 - 16*z^4 + z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 
   4*a^2*z^4 - 14*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 1324] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1325] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1326] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1327] -> 3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 
   4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1328] -> 
  -7 - a^(-6) + 2/a^4 + 2/a^2 + 7*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + 12*a^2*z^2 - 3*a^4*z^2 - 9*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1329] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) - a^2 + 3*a^4 - a^6 - 5*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 - a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 1330] -> -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 
   9*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (36*z^2)/a^4 + (33*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (33*z^4)/a^4 + (32*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1331] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1332] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1333] -> -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 
   6*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1334] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + (23*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1335] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 19*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 1336] -> 1 + 2/a^10 - 9/a^8 + 14/a^6 - 
   9/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (12*z^2)/a^8 + (32*z^2)/a^6 - 
   (27*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (24*z^4)/a^6 - 
   (30*z^4)/a^4 + z^4/a^2 + z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 - (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1337] -> 
  -4 + 11*a^2 - 9*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + 24*a^2*z^2 - 20*a^4*z^2 + 
   15*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 22*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1338] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + 
   a^(-2) - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (17*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1339] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1340] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 4*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (18*z^2)/a^2 - a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (27*z^4)/a^2 + a^2*z^4 - 7*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1341] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1342] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1343] -> 
  -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 33*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 32*a^2*z^2 - 10*a^4*z^2 - 33*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   37*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1344] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1345] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - 
   17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 1346] -> 
  2/a^10 - 10/a^8 + 18/a^6 - 15/a^4 + 6/a^2 + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (43*z^2)/a^6 - (39*z^2)/a^4 + (13*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (39*z^4)/a^6 - (42*z^4)/a^4 + (11*z^4)/a^2 - (3*z^6)/a^8 + (17*z^6)/a^6 - 
   (23*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1347] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - 
   a^(-4) - 2/a^2 + 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - 
   (8*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1348] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1349] -> 1 - a^(-2) + 6*a^2 - 11*a^4 + 9*a^6 - 3*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 24*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 7*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1350] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1351] -> 
  2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (33*z^2)/a^6 - (25*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (31*z^4)/a^6 - (28*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1352] -> -13 + a^(-6) - 6/a^4 + 14/a^2 + 
   5*a^2 - 35*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (33*z^2)/a^2 + 11*a^2*z^2 - 
   39*z^4 + z^4/a^6 - (10*z^4)/a^4 + (32*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1353] -> -13 - 2/a^4 + 8/a^2 + 12*a^2 - 
   4*a^4 - 31*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 
   31*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 1354] -> 
  4 - 2/a^2 + a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 8*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 - 
   16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1355] -> 
  1 + a^(-10) - 6/a^8 + 11/a^6 - 8/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (25*z^2)/a^6 - (22*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (25*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1356] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (22*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1357] -> 
  2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1358] -> 
  -15 + 2/a^6 - 10/a^4 + 19/a^2 + 5*a^2 - 40*z^2 + (3*z^2)/a^6 - 
   (19*z^2)/a^4 + (43*z^2)/a^2 + 12*a^2*z^2 - 42*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (39*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1359] -> 1 - a^(-2) + 6*a^2 - 11*a^4 + 9*a^6 - 3*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 24*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 7*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1360] -> -8 + a^(-8) - 4/a^6 + 4/a^4 + 4/a^2 + 4*a^2 - 
   14*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1361] -> -a^2 + 8*a^6 - 7*a^8 + a^10 - 3*a^2*z^2 + 
   22*a^6*z^2 - 10*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 24*a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1362] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1363] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (20*z^4)/a^4 + z^4/a^2 + z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1364] -> 2/a^14 - 9/a^12 + 15/a^10 - 12/a^8 + 3/a^6 + 
   2/a^4 + z^2/a^14 - (13*z^2)/a^12 + (33*z^2)/a^10 - (29*z^2)/a^8 + 
   (7*z^2)/a^6 + (5*z^2)/a^4 - (4*z^4)/a^12 + (25*z^4)/a^10 - (29*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1365] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 10/a^8 + 4/a^6 + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (28*z^2)/a^10 - (25*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (26*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1366] -> 
  1 + a^(-12) - 4/a^10 + 3/a^8 + 4/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^4 + z^2/a^2 + z^4 + (6*z^4)/a^8 - 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, Alternating, 1367] -> 
  -a^(-2) + 6*a^2 - 7*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1368] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - a^(-6) + a^(-4) + a^(-2) - 
   (4*z^2)/a^12 + (10*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (6*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1369] -> 
  -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 29*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   31*a^2*z^2 - 10*a^4*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 37*a^2*z^4 - 
   10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1370] -> 
  -6 - a^(-6) + a^(-4) + 3/a^2 + 6*a^2 - 2*a^4 - 10*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 1371] -> 
  -4 - a^(-6) + 2/a^4 + 7*a^2 - 3*a^4 - 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1372] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1373] -> 
  a^(-10) - 6/a^8 + 14/a^6 - 15/a^4 + 7/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (34*z^2)/a^6 - (34*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (32*z^4)/a^6 - (33*z^4)/a^4 + (8*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (18*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1374] -> -13 - 2/a^4 + 8/a^2 + 12*a^2 - 
   4*a^4 - 33*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 32*a^2*z^2 - 10*a^4*z^2 - 
   33*z^4 - z^4/a^4 + (12*z^4)/a^2 + 37*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + 
   (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 1375] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 28*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   30*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 1376] -> 
  -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 16*z^2 + (3*z^2)/a^2 + 30*a^2*z^2 - 
   19*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 18*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1377] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (27*z^2)/a^4 + (26*z^2)/a^2 - 8*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1378] -> a^(-14) - 6/a^12 + 14/a^10 - 15/a^8 + 5/a^6 + 
   2/a^4 + z^2/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 - (33*z^2)/a^8 + 
   (9*z^2)/a^6 + (5*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (31*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1379] -> 
  1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (25*z^2)/a^6 - (23*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (27*z^4)/a^4 + z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1380] -> 2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 2/a^6 + 
   a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (24*z^2)/a^10 - (17*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (22*z^4)/a^10 - (21*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1381] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 3/a^8 - 4/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^12 + 
   (13*z^2)/a^10 - (7*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (6*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1382] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, Alternating, 1383] -> 3 - a^(-6) + 4/a^4 - 6/a^2 + 3*a^2 - 2*a^4 + 
   5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1384] -> 8 - a^(-6) + 4/a^4 - 7/a^2 - 5*a^2 + 3*a^4 - 
   a^6 + 13*z^2 - z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 - 9*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 1385] -> -2/a^12 + 11/a^10 - 21/a^8 + 15/a^6 - 2/a^4 - 
   (3*z^2)/a^12 + (21*z^2)/a^10 - (47*z^2)/a^8 + (39*z^2)/a^6 - (7*z^2)/a^4 - 
   z^4/a^12 + (14*z^4)/a^10 - (42*z^4)/a^8 + (40*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^6)/a^10 - (18*z^6)/a^8 + (22*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 1386] -> 
  -a^2 - a^4 + 12*a^6 - 12*a^8 + 3*a^10 - 3*a^2*z^2 - 2*a^4*z^2 + 
   30*a^6*z^2 - 20*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 29*a^6*z^4 - 
   10*a^8*z^4 - a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1387] -> 
  -a^(-12) + 5/a^10 - 7/a^8 + 5/a^4 - a^(-2) - z^2/a^12 + (7*z^2)/a^10 - 
   (12*z^2)/a^8 + (11*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^10 - (9*z^4)/a^8 + 
   z^4/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1388] -> 
  -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (36*z^2)/a^4 + (33*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (33*z^4)/a^4 + (32*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1389] -> -2 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 2*a^4 - 
   4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 
   z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1390] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1391] -> a^(-10) - 6/a^8 + 14/a^6 - 15/a^4 + 
   7/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (34*z^2)/a^6 - (34*z^2)/a^4 + 
   (11*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (32*z^4)/a^6 - (33*z^4)/a^4 + 
   (8*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 1392] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (29*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1393] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1394] -> 1 - a^(-2) + 2*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 
   2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1395] -> 1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1396] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 29*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 32*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1397] -> -7 - a^(-6) + 2/a^4 + 2/a^2 + 7*a^2 - 2*a^4 - 
   9*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1398] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 15*z^2 + 
   (3*z^2)/a^2 + 26*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1399] -> -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 
   9*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (36*z^2)/a^4 + (33*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (33*z^4)/a^4 + (32*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1400] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1401] -> 1 + a^(-12) - 4/a^10 + 4/a^8 + 2/a^6 - 
   5/a^4 + 2/a^2 + 2*z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (6*z^4)/a^8 - (4*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 1402] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + 
   a^(-2) - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (17*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1403] -> 
  5 - 2/a^2 - 3*a^2 + 3*a^6 - 2*a^8 + 9*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - 
   a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 4*a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1404] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 11*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (24*z^2)/a^2 + 2*a^2*z^2 - 20*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1405] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (21*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (19*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1406] -> 
  -2 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1407] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 8*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 
   6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 1408] -> 
  5 - 2/a^2 + a^2 - 9*a^4 + 9*a^6 - 3*a^8 + 9*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   19*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 18*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1409] -> 
  -17 - 2/a^4 + 9/a^2 + 17*a^2 - 6*a^4 - 43*z^2 - (5*z^2)/a^4 + 
   (24*z^2)/a^2 + 36*a^2*z^2 - 9*a^4*z^2 - 43*z^4 - (4*z^4)/a^4 + 
   (24*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 23*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1410] -> -7 - 2/a^4 + 7/a^2 + 6*a^4 - 3*a^6 - 11*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 1411] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 2*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 1412] -> -13 - 3/a^4 + 9/a^2 + 13*a^2 - 5*a^4 - 
   34*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 37*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1413] -> -1 - a^(-4) + 2/a^2 + 3*a^4 - 2*a^6 - 
   4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 
   4*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 1414] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 5*a^4 - 3*a^6 + 
   a^8 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 12*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 1415] -> 
  -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 29*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 
   27*a^2*z^2 - 8*a^4*z^2 - 34*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 + 
   27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1416] -> -4 - a^(-4) + 3/a^2 + 4*a^2 - a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 1417] -> 
  3*a^2 - 6*a^4 + 10*a^6 - 9*a^8 + 3*a^10 + 7*a^2*z^2 - 20*a^4*z^2 + 
   30*a^6*z^2 - 24*a^8*z^2 + 7*a^10*z^2 + 5*a^2*z^4 - 24*a^4*z^4 + 
   33*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 12*a^4*z^6 + 20*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 1418] -> 1 - a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 2*z^2 - 
   3*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 1419] -> 
  2 - 3*a^2 + 4*a^4 - 2*a^6 - a^8 + a^10 + 3*z^2 - 8*a^2*z^2 + 7*a^4*z^2 - 
   2*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + z^4 - 7*a^2*z^4 + 5*a^4*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 1420] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 1421] -> -13 - 3/a^4 + 9/a^2 + 13*a^2 - 5*a^4 - 
   34*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 37*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1422] -> 2 + 2/a^10 - 7/a^8 + 10/a^6 - 6/a^4 + 
   3*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (21*z^2)/a^6 - (11*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1423] -> 
  1 + a^(-10) - 2/a^8 + 4/a^4 - 4/a^2 + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 1424] -> 5 + a^(-8) - 2/a^6 + 3/a^4 - 
   4/a^2 - 3*a^2 + a^6 + 8*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (3*z^6)/a^2, Knot[14, Alternating, 1425] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 1426] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + 2*a^4 - 2*a^6 + a^8 + 5*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 1427] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 3*a^2 - a^4 - a^6 + a^8 - 3*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 3*a^6*z^2 + z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, Alternating, 1428] -> 
  -11 - 2/a^4 + 8/a^2 + 6*a^2 + 2*a^4 - 2*a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 9*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 10*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 1429] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 2*a^2 + a^4 - a^6 - 4*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 1430] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 
   2/a^2 - a^2 + 6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1431] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 
   2*a^2 + a^4 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 + z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1432] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 
   6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1433] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 1434] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 17*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1435] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1436] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 5*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1437] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1438] -> 
  -2 + a^(-4) + 2*a^2 + a^4 - 2*a^6 + a^8 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 1439] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 1440] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (16*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1441] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 
   6*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + z^4/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1442] -> 3 - 2/a^8 + 6/a^6 - 6/a^4 + a^(-2) - a^2 + 
   5*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1443] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 1444] -> 
  -3 + a^(-8) - a^(-6) - 2/a^4 + 5/a^2 + a^4 - 6*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 1445] -> a^(-10) - 3/a^8 + 3/a^6 - 
   a^(-2) + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 1446] -> -1 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 - 
   2*a^2 + 2*a^4 + 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 1447] -> -7 - a^(-4) + 5/a^2 + 3*a^2 + 3*a^4 - 2*a^6 - 
   19*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 1448] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   5*z^4 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 1449] -> 
  a^(-10) - 3/a^8 + 3/a^6 - a^(-2) + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 1450] -> 2 + a^(-8) - 2/a^6 + 3/a^4 - 
   3/a^2 - a^4 + a^6 + 2*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^4*z^2 + 3*z^4 + (5*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[14, Alternating, 1451] -> 5 - 3/a^8 + 9/a^6 - 9/a^4 + 
   a^(-2) - 2*a^2 + 9*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1452] -> 2 + a^(-8) - a^(-6) - 2*a^2 + 
   a^6 + 2*z^2 - (3*z^2)/a^6 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, Alternating, 1453] -> 2 - a^(-8) + a^(-6) - a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1454] -> 2*a^4 - 2*a^6 + a^8 + 4*a^10 - 6*a^12 + 
   2*a^14 + 5*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 16*a^10*z^2 - 11*a^12*z^2 + 
   a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 17*a^10*z^4 - 4*a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 1455] -> a^2 - a^4 + 2*a^6 - a^8 + 2*a^10 - 3*a^12 + 
   a^14 + 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 
   a^2*z^4 - a^4*z^4 - a^6*z^4 - a^8*z^4 + 5*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   2*a^8*z^6, Knot[14, Alternating, 1456] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 
   4*a^2 + 3*a^4 - a^6 + 11*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 
   9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 1457] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1458] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 1459] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 13*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 
   17*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1460] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 1461] -> 
  3 + a^(-10) - 4/a^8 + 7/a^6 - 4/a^4 - 2/a^2 + 4*z^2 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (18*z^2)/a^6 - (9*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 - (8*z^4)/a^2 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1462] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 
   2/a^2 + a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 1463] -> 4 + 2/a^10 - 7/a^8 + 10/a^6 - 4/a^4 - 4/a^2 + 
   4*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (19*z^2)/a^6 - (6*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + (17*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1464] -> 
  -1 + a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 1465] -> -1 + a^(-10) - 2/a^8 + 2/a^6 - 
   a^(-4) + a^(-2) + a^4 - 2*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   2*a^2*z^2 + z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[14, Alternating, 1466] -> a^4 + a^6 - 3*a^8 + 7*a^10 - 7*a^12 + 
   2*a^14 + 4*a^4*z^2 + a^6*z^2 - 7*a^8*z^2 + 20*a^10*z^2 - 12*a^12*z^2 + 
   a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 10*a^8*z^4 + 19*a^10*z^4 - 4*a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 8*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 1467] -> 2*a^4 - 2*a^6 + 2*a^8 + a^10 - 3*a^12 + 
   a^14 + a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 + 5*a^10*z^2 - 
   4*a^12*z^2 + a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 5*a^10*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, Knot[14, Alternating, 1468] -> 
  -3 - 3/a^8 + 7/a^6 - 9/a^4 + 9/a^2 - 7*z^2 - (7*z^2)/a^8 + (23*z^2)/a^6 - 
   (27*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - (5*z^4)/a^8 + (25*z^4)/a^6 - 
   (32*z^4)/a^4 + (25*z^4)/a^2 - z^6 - z^6/a^8 + (12*z^6)/a^6 - 
   (20*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1469] -> 1 - 2/a^8 + 4/a^6 - 4/a^4 + 
   3/a^2 - a^2 + 4*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1470] -> 5 - a^(-8) + a^(-6) + a^(-4) - 
   3/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1471] -> -1 - a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + 2*a^2 - a^4 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 1472] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1473] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 
   3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 
   2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 1474] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1475] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1476] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1477] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 13*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1478] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1479] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 17*z^2 + 
   (5*z^2)/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   25*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1480] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1481] -> 2 + 2/a^4 - 3/a^2 - a^2 + 2*a^4 - 2*a^6 + 
   a^8 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 1482] -> 
  2 + 2/a^10 - 7/a^8 + 10/a^6 - 6/a^4 + 3*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (21*z^2)/a^6 - (11*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1483] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1484] -> -11 - 2/a^4 + 8/a^2 + 6*a^2 + 2*a^4 - 2*a^6 - 
   24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   21*z^4 - z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 1485] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 
   6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1486] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1487] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 
   6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1488] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 1489] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1490] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1491] -> 
  5 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 3*a^2 + a^6 + 8*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - z^6 - (3*z^6)/a^2, 
 Knot[14, Alternating, 1492] -> 2*a^4 - 2*a^6 + a^8 + 4*a^10 - 6*a^12 + 
   2*a^14 + 5*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 16*a^10*z^2 - 11*a^12*z^2 + 
   a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 17*a^10*z^4 - 4*a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 1493] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 1494] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1495] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 1496] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 
   5*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 1497] -> 
  a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + 4*a^2*z^2 - 13*a^4*z^2 + 
   25*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 6*a^2*z^4 - 22*a^4*z^4 + 
   29*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1498] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1499] -> 
  a^(-2) - 2*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - a^10 + z^2 - 6*a^2*z^2 + 
   8*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 1500] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + 
   4*a^2*z^2 - 13*a^4*z^2 + 23*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 20*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 1501] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 + z^2 - 2*a^2*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1502] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 22*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   18*a^2*z^2 - 4*a^4*z^2 - 28*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 16*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1503] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1504] -> 3 + a^(-4) - 2/a^2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   z^4/a^4 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 1505] -> 
  a^(-4) - a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 2*z^2 + a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - z^4 - z^4/a^4 + z^4/a^2 - 3*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 1506] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + 
   4*a^2*z^2 - 13*a^4*z^2 + 25*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 22*a^4*z^4 + 29*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 1507] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   2*z^2 - z^2/a^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1508] -> 
  -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 21*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (23*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1509] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1510] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 1511] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (22*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1512] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 1513] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 22*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1514] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1515] -> 
  4 - 7*a^2 + 5*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 
   a^8*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 3*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1516] -> -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 
   21*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (23*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 1517] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + z^2/a^2 - a^2*z^2 - 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 1518] -> 
  2 - 4*a^4 + 4*a^6 - a^8 - z^2 + 5*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 
   4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 1519] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1520] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1521] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1522] -> 2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1523] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1524] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1525] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1526] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1527] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 
   17*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1528] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1529] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1530] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1531] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 1532] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1533] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1534] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^4 + (15*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1535] -> 1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 
   z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 1536] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 1537] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1538] -> -6 + 3/a^2 + 5*a^2 - a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 1539] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 1540] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1541] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1542] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1543] -> 5*a^4 - 6*a^6 + 2*a^8 - a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 1544] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   6*a^4*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 4*a^2*z^4 - 
   16*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1545] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - 
   a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1546] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^4*z^2 + 9*a^6*z^2 - 16*a^8*z^2 + 
   12*a^10*z^2 - 3*a^12*z^2 - 3*a^4*z^4 + 17*a^6*z^4 - 24*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 1547] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 1548] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1549] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 1550] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 - 2*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 1551] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1552] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   16*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1553] -> -a^(-6) + 2/a^4 - a^2 + a^4 + (2*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 1554] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1555] -> 
  1 + 2*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 1556] -> -3/a^12 + 6/a^10 - 6/a^8 + 4/a^6 - 
   (3*z^2)/a^12 + (17*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 + (11*z^4)/a^10 - (24*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 1557] -> -2/a^12 + 3/a^10 - 2/a^8 + 
   a^(-6) + a^(-4) + (6*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 1558] -> -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 + z^2 + 
   z^2/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 1559] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 
   3/a^2 + z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1560] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (21*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (16*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1561] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (20*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (17*z^4)/a^6 - (15*z^4)/a^4 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1562] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (18*z^2)/a^8 + 
   (20*z^2)/a^6 - z^2/a^4 - z^2/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (18*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1563] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 14*z^2 + 
   (2*z^2)/a^2 + 31*a^2*z^2 - 22*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   37*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1564] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (28*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (36*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1565] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 15*z^2 + (2*z^2)/a^2 + 32*a^2*z^2 - 
   21*a^4*z^2 + 4*a^6*z^2 - 19*z^4 + (3*z^4)/a^2 + 39*a^2*z^4 - 21*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 23*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1566] -> 
  -3*a^4 + 8*a^6 - 2*a^8 - 2*a^10 - 10*a^4*z^2 + 23*a^6*z^2 + 8*a^8*z^2 - 
   10*a^10*z^2 - 12*a^4*z^4 + 28*a^6*z^4 + 21*a^8*z^4 - 12*a^10*z^4 - 
   6*a^4*z^6 + 19*a^6*z^6 + 18*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 1567] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 30*z^2 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 34*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 29*a^2*z^4 - 8*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 
   20*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1568] -> -a^2 + a^4 + 3*a^6 - 2*a^10 - 3*a^2*z^2 + 
   2*a^4*z^2 + 13*a^6*z^2 + 3*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   16*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1569] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (30*z^2)/a^4 + (22*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (33*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1570] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 30*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   20*a^2*z^2 - 4*a^4*z^2 - 38*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 
   21*a^2*z^4 - 3*a^4*z^4 - 23*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1571] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 35*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1572] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 
   18*z^2 + (3*z^2)/a^2 + 33*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + 
   (3*z^4)/a^2 + 39*a^2*z^4 - 20*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 1573] -> -14 - 4/a^4 + 13/a^2 + 7*a^2 - 
   a^4 - 38*z^2 - (4*z^2)/a^4 + (24*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 
   39*z^4 - z^4/a^4 + (15*z^4)/a^2 + 30*a^2*z^4 - 8*a^4*z^4 - 18*z^6 + 
   (3*z^6)/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 1574] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 
   2*a^2 - 4*z^2 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1575] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1576] -> 
  -2/a^6 + 3/a^4 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1577] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + (3*z^2)/a^16 - 
   (11*z^2)/a^14 - (5*z^2)/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - 
   (12*z^4)/a^14 + (6*z^4)/a^12 + (28*z^4)/a^10 + (8*z^4)/a^8 - 
   (3*z^6)/a^14 + (8*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1578] -> 
  2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (20*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (11*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1579] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + 
   z^2/a^16 - (5*z^2)/a^14 - (3*z^2)/a^12 + (7*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + z^4/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1580] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^16 - 
   (2*z^2)/a^14 - (9*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   (3*z^4)/a^14 - z^4/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1581] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1582] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1583] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 
   20*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 
   33*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1584] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 3*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1585] -> -2*a^4 + 4*a^6 + 3*a^8 - 4*a^10 - 9*a^4*z^2 + 
   18*a^6*z^2 + 15*a^8*z^2 - 12*a^10*z^2 - 12*a^4*z^4 + 26*a^6*z^4 + 
   25*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 19*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 1586] -> -3*a^4 + 8*a^6 - 2*a^8 - 2*a^10 - 
   2*a^2*z^2 - 3*a^4*z^2 + 20*a^6*z^2 + a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 
   a^4*z^4 + 20*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   10*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1587] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (28*z^2)/a^2 + 7*a^2*z^2 - 32*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (32*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1588] -> -1 + 3*a^2 - 5*a^4 + 9*a^6 - 5*a^8 - 4*z^2 + 
   15*a^2*z^2 - 21*a^4*z^2 + 26*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   30*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1589] -> -a^2 + 7*a^6 - 5*a^8 - 3*a^2*z^2 + a^4*z^2 + 
   18*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 18*a^6*z^4 + 
   2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1590] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1591] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1592] -> 
  -1 + 2*a^2 - a^4 + 4*a^6 - 3*a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 
   5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1593] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (21*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1594] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 5*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1595] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 9*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (26*z^2)/a^4 + (29*z^2)/a^2 - 10*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (30*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1596] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1597] -> 
  -1 - 2/a^4 + 4/a^2 - 9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 
   2*a^2*z^2 - 18*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 5*a^2*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 1598] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 19*a^2*z^2 - 18*a^4*z^2 + 
   5*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1599] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (18*z^2)/a^10 - (14*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (17*z^4)/a^10 - (14*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 1600] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 
   5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1601] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 6*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 23*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 1602] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1603] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 25*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (32*z^2)/a^2 + 7*a^2*z^2 - 33*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (35*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1604] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1605] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 6*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (32*z^2)/a^4 + (24*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (36*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (17*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1606] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1607] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 - 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 1608] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + (3*z^2)/a^16 - (14*z^2)/a^14 + 
   z^2/a^12 + (18*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + 
   (8*z^4)/a^12 + (28*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 1609] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (5*z^2)/a^14 - (6*z^2)/a^12 + (13*z^2)/a^10 + 
   (8*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + z^4/a^12 + (14*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 1610] -> a^(-14) - 4/a^12 + 5/a^10 - 
   5/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + (17*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - (13*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1611] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 1612] -> 
  -1 + 4*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 4*z^2 + 17*a^2*z^2 - 24*a^4*z^2 + 
   23*a^6*z^2 - 6*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 33*a^4*z^4 + 23*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1613] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1614] -> 
  -a^4 + 8*a^8 - 6*a^10 - 7*a^4*z^2 + 11*a^6*z^2 + 23*a^8*z^2 - 14*a^10*z^2 - 
   11*a^4*z^4 + 22*a^6*z^4 + 28*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 
   18*a^6*z^6 + 19*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 1615] -> 
  -2*a^4 + 4*a^6 + 3*a^8 - 4*a^10 - 2*a^2*z^2 - a^4*z^2 + 14*a^6*z^2 + 
   7*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 16*a^6*z^4 + 7*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1616] -> 
  -3*a^4 + 8*a^6 - 2*a^8 - 2*a^10 - 2*a^2*z^2 - 2*a^4*z^2 + 19*a^6*z^2 - 
   4*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 18*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1617] -> 
  -2 + 6*a^2 - 6*a^4 + 6*a^6 - 3*a^8 - 5*z^2 + 19*a^2*z^2 - 23*a^4*z^2 + 
   21*a^6*z^2 - 6*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 32*a^4*z^4 + 23*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1618] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1619] -> 
  -3*a^4 + 8*a^6 - 2*a^8 - 2*a^10 - z^2 + a^2*z^2 - a^4*z^2 + 14*a^6*z^2 - 
   2*a^10*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 1620] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 12*a^2*z^2 - 17*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1621] -> 3/a^10 - 12/a^8 + 15/a^6 - 7/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (39*z^2)/a^6 - (24*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (38*z^4)/a^6 - (32*z^4)/a^4 + (9*z^4)/a^2 - 
   (3*z^6)/a^8 + (17*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1622] -> 
  1 + a^(-10) - 3/a^8 + 5/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1623] -> 
  -2 + 6*a^2 - 6*a^4 + 6*a^6 - 3*a^8 - z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 1624] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 
   4/a^4 - 3/a^2 + 4*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (6*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 1625] -> 2/a^14 - 8/a^12 + 10/a^10 - 7/a^8 + 4/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (23*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1626] -> 
  a^(-14) - 3/a^12 + 4/a^8 - 3/a^6 + 2/a^4 - (4*z^2)/a^12 + (5*z^2)/a^10 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 + 
   z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 1627] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 
   8/a^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (26*z^2)/a^4 + (14*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1628] -> -8 + a^(-6) - 7/a^4 + 13/a^2 + 2*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   8*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1629] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 
   19*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 
   20*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1630] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   27*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (35*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + 
   (3*z^4)/a^6 - (20*z^4)/a^4 + (40*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1631] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 35*z^2 - (3*z^2)/a^4 + 
   (18*z^2)/a^2 + 27*a^2*z^2 - 6*a^4*z^2 - 40*z^4 - (3*z^4)/a^4 + 
   (20*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1632] -> -4*a^4 + 12*a^6 - 7*a^8 - a^2*z^2 - 
   8*a^4*z^2 + 30*a^6*z^2 - 8*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   29*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1633] -> -2 + 7*a^2 - 10*a^4 + 11*a^6 - 5*a^8 - 
   5*z^2 + 20*a^2*z^2 - 28*a^4*z^2 + 28*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 
   22*a^2*z^4 - 34*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 1634] -> 3 - a^(-2) - 3*a^2 + a^4 + 
   4*a^6 - 3*a^8 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1635] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   31*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (33*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1636] -> -3 - a^(-8) + 6/a^6 - 13/a^4 + 
   12/a^2 - 9*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (33*z^2)/a^4 + 
   (31*z^2)/a^2 - 10*z^4 - z^4/a^8 + (11*z^4)/a^6 - (34*z^4)/a^4 + 
   (36*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1637] -> 
  -1 - 2/a^4 + 4/a^2 - 9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 
   2*a^2*z^2 - 18*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 5*a^2*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 1638] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 4*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 1639] -> 
  2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 2*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 - a^2*z^2 + z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 1640] -> 
  a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - a^(-6) + 2/a^4 - (4*z^2)/a^12 + 
   (8*z^2)/a^10 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 - 
   z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 1641] -> -3 - a^(-4) + 4/a^2 - 2*a^2 + 
   5*a^4 - 2*a^6 - 8*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 
   10*a^4*z^2 - 2*a^6*z^2 - 8*z^4 - z^4/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 1642] -> -a^2 + a^4 + 3*a^6 - 2*a^10 - 
   z^2 + 4*a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 1643] -> 
  2 - a^(-2) + a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*z^2 - (2*z^2)/a^2 - 
   8*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1644] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 35*z^2 - (3*z^2)/a^4 + 
   (18*z^2)/a^2 + 27*a^2*z^2 - 6*a^4*z^2 - 40*z^4 - (3*z^4)/a^4 + 
   (20*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1645] -> -2 + 6*a^2 - 3*a^4 - 15*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1646] -> -4*a^4 + 12*a^6 - 7*a^8 - a^2*z^2 - 
   8*a^4*z^2 + 30*a^6*z^2 - 8*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   29*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1647] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (26*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1648] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   31*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (33*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1649] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 
   4*a^2 - 27*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (35*z^2)/a^2 + 6*a^2*z^2 - 
   25*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + (40*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1650] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (21*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1651] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   z^2/a^2 + 12*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1652] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1653] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (24*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1654] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1655] -> 
  -1 - a^(-2) + 9*a^2 - 8*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1656] -> 
  2/a^14 - 8/a^12 + 10/a^10 - 7/a^8 + 4/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (23*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1657] -> -2 + 7*a^2 - 10*a^4 + 11*a^6 - 5*a^8 - 
   5*z^2 + 20*a^2*z^2 - 28*a^4*z^2 + 28*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 
   22*a^2*z^4 - 34*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 1658] -> -2 + 6*a^2 - 3*a^4 - 15*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1659] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1660] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 
   10*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1661] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 2/a^2 + z^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (6*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, Alternating, 1662] -> 
  -5 - 2/a^6 + 5/a^4 - a^(-2) + 5*a^2 - a^4 - 10*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1663] -> 
  -2 - a^(-8) + 2/a^6 + 2*a^2 - z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 2*z^4 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 1664] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 20*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (23*z^2)/a^2 + 6*a^2*z^2 - 26*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1665] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1666] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (5*z^2)/a^10 + 
   (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 + z^4/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 1667] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1668] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1669] -> -a^2 + 2*a^4 - a^6 + 5*a^8 - 4*a^10 - 
   4*a^2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 - 4*a^2*z^4 + 
   6*a^4*z^4 + 13*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1670] -> -a^2 + a^4 + 3*a^6 - 2*a^10 - z^2 - a^2*z^2 + 
   5*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 + 6*a^4*z^4 + 
   7*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 1671] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 
   4/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (25*z^2)/a^6 - (26*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (29*z^4)/a^6 - (35*z^4)/a^4 + 
   (10*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - (22*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 1672] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1673] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (6*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1674] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (23*z^2)/a^2 + 6*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1675] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1676] -> 
  -2*a^2 + 5*a^4 - 2*a^6 + 2*a^8 - 2*a^10 - 5*a^2*z^2 + 10*a^4*z^2 + 
   4*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 11*a^6*z^4 + 
   4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1677] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1678] -> 2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 
   2/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (27*z^2)/a^6 - (21*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (31*z^4)/a^6 - (32*z^4)/a^4 + 
   (9*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 1679] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1680] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1681] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 - z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (27*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (32*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1682] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (26*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + 
   (13*z^4)/a^10 - (30*z^4)/a^8 + (22*z^4)/a^6 - (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (16*z^6)/a^8 + (15*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 1683] -> 
  -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - 7*z^2 + 17*a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1684] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 
   2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1685] -> 4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + 
   (10*z^2)/a^16 - (44*z^2)/a^14 + (34*z^2)/a^12 + (15*z^2)/a^10 + 
   (6*z^4)/a^16 - (49*z^4)/a^14 + (59*z^4)/a^12 + (29*z^4)/a^10 + z^6/a^16 - 
   (21*z^6)/a^14 + (46*z^6)/a^12 + (23*z^6)/a^10 - (3*z^8)/a^14 + 
   (16*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 1686] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (19*z^2)/a^14 + (6*z^2)/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (12*z^4)/a^12 + (28*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^6)/a^14 + (9*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1687] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (3*z^2)/a^16 - (12*z^2)/a^14 - 
   (5*z^2)/a^12 + (23*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (4*z^4)/a^12 + (30*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 1688] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1689] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (18*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1690] -> 
  3/a^16 - 9/a^14 + 5/a^12 + a^(-10) + a^(-8) + (4*z^2)/a^16 - 
   (21*z^2)/a^14 + (14*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - 
   (15*z^4)/a^14 + (19*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 - 
   (3*z^6)/a^14 + (11*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1691] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + (4*z^4)/a^12 + 
   (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1692] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (5*z^2)/a^14 - 
   (5*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1693] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 11*z^2 + z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1694] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 
   7/a^2 - 4*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (29*z^2)/a^4 + (19*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - (35*z^4)/a^4 + (21*z^4)/a^2 - z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (21*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 1695] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 14*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (31*z^2)/a^2 + 2*a^2*z^2 - 18*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (37*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1696] -> 1 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1697] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 29*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 36*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 
   19*a^2*z^4 - 3*a^4*z^4 - 22*z^6 - z^6/a^4 + (11*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1698] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 20*z^2 + 
   (4*z^2)/a^2 + 33*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   38*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1699] -> -2 + 6*a^2 - 3*a^4 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1700] -> 
  -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 
   8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1701] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 28*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   28*a^2*z^2 - 9*a^4*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 
   10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1702] -> 
  -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (26*z^2)/a^4 + (27*z^2)/a^2 - 8*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1703] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (12*z^2)/a^14 - (7*z^2)/a^12 + (27*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + z^4/a^12 + (38*z^4)/a^10 + 
   (5*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1704] -> 
  -7 - 3/a^4 + 9/a^2 + a^2 + a^4 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 9*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 1705] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (22*z^2)/a^6 - (16*z^2)/a^4 + 3*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (18*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1706] -> -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 5*a^2*z^2 + 
   8*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   15*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1707] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1708] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 - a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1709] -> 
  -14 + 2/a^6 - 11/a^4 + 20/a^2 + 4*a^2 - 38*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (45*z^2)/a^2 + 11*a^2*z^2 - 41*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (40*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1710] -> -18 - 4/a^4 + 14/a^2 + 12*a^2 - 3*a^4 - 
   45*z^2 - (4*z^2)/a^4 + (25*z^2)/a^2 + 34*a^2*z^2 - 9*a^4*z^2 - 42*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 38*a^2*z^4 - 10*a^4*z^4 - 18*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1711] -> -6 - 2/a^6 + 5/a^4 - a^(-2) + 7*a^2 - 2*a^4 - 
   7*z^2 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1712] -> -2/a^6 + 6/a^4 - 5/a^2 + 3*a^2 - a^4 + z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (13*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1713] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 5*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 - a^4*z^2 + 4*z^4 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, Alternating, 1714] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 4/a^8 - a^(-6) + a^(-4) + z^2/a^14 - 
   (6*z^2)/a^12 + (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^4)/a^12 + (7*z^4)/a^10 + (5*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^10 - z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1715] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + 
   z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (6*z^4)/a^8 - (10*z^4)/a^6 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, Alternating, 1716] -> -a^2 + a^4 + 3*a^6 - 2*a^10 - 3*a^2*z^2 + 
   a^4*z^2 + 16*a^6*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 22*a^6*z^4 + 
   a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1717] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 - 
   z^2/a^6 + (7*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1718] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 + 
   (3*z^2)/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (5*z^4)/a^12 + (8*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1719] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2 + (4*z^2)/a^10 - (9*z^2)/a^8 + 
   z^2/a^6 + (8*z^2)/a^4 - z^2/a^2 - z^4 - (5*z^4)/a^8 + (2*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 1720] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (3*z^2)/a^14 + (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^12 + (4*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 1721] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1722] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 1723] -> 
  -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - a^4 - 12*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + 9*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1724] -> 
  -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 10*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 1725] -> -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - 
   z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1726] -> -5 - a^(-8) + 5/a^6 - 13/a^4 + 15/a^2 - 
   12*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (31*z^2)/a^4 + (37*z^2)/a^2 - 
   11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (31*z^4)/a^4 + (40*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1727] -> 
  4/a^14 - 13/a^12 + 10/a^10 + (2*z^2)/a^16 - (2*z^2)/a^14 - (24*z^2)/a^12 + 
   (33*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (8*z^4)/a^14 - (9*z^4)/a^12 + 
   (40*z^4)/a^10 + (5*z^4)/a^8 - (3*z^6)/a^14 + (4*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 1728] -> -a^2 + 7*a^6 - 5*a^8 - 4*a^2*z^2 + 
   3*a^4*z^2 + 18*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   19*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1729] -> 
  -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - z^2 - 2*a^2*z^2 + 8*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 - z^4 + 7*a^4*z^4 + 7*a^6*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 1730] -> 
  3 - a^(-2) - 4*a^2 + 5*a^4 - a^6 - a^8 + 7*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 
   7*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1731] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + 3/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - 
   (14*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (9*z^4)/a^10 - 
   (12*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1732] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (27*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (27*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1733] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1734] -> -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (26*z^2)/a^8 + (26*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (26*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1735] -> 
  1 - a^(-2) + 6*a^2 - 10*a^4 + 7*a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1736] -> 
  3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   6*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 1737] -> 3 - a^(-10) + 3/a^8 - 3/a^6 + 
   3/a^4 - 4/a^2 + 5*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 + 4*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 1738] -> -2/a^12 + 9/a^10 - 14/a^8 + 7/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (18*z^2)/a^10 - (32*z^2)/a^8 + (19*z^2)/a^6 - z^4/a^12 + 
   (13*z^4)/a^10 - (32*z^4)/a^8 + (22*z^4)/a^6 - (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (16*z^6)/a^8 + (15*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 1739] -> 
  -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 5/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1740] -> 1 + a^(-10) - 6/a^8 + 12/a^6 - 10/a^4 + 
   3/a^2 + 3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - (28*z^4)/a^4 + z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1741] -> a^(-16) - 8/a^12 + 8/a^10 + (3*z^2)/a^16 - 
   (9*z^2)/a^14 - (13*z^2)/a^12 + (29*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - 
   (11*z^4)/a^14 - z^4/a^12 + (38*z^4)/a^10 + (5*z^4)/a^8 - (3*z^6)/a^14 + 
   (6*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 1742] -> a^(-16) - a^(-14) - 4/a^12 + 
   3/a^10 + 2/a^8 + z^2/a^16 - (4*z^2)/a^14 - (8*z^2)/a^12 + (13*z^2)/a^10 + 
   (8*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - z^4/a^12 + (16*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 1743] -> 3/a^14 - 10/a^12 + 7/a^10 + 
   a^(-8) + z^2/a^16 - z^2/a^14 - (16*z^2)/a^12 + (20*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - (4*z^4)/a^12 + (20*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 1744] -> -5 + 3/a^6 - 12/a^4 + 15/a^2 - 
   16*z^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + (38*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (41*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1745] -> 
  -5 + 3/a^6 - 12/a^4 + 15/a^2 - 16*z^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + 
   (38*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + 
   (41*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1746] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 
   27*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (34*z^2)/a^2 + 8*a^2*z^2 - 35*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1747] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - 
   a^8 + 3*z^2 - z^2/a^4 + 3*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 + (2*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 1748] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1749] -> 
  4 - a^(-8) + 3/a^6 - 4/a^4 + a^(-2) - 2*a^2 + 8*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1750] -> a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 + 
   z^2/a^16 - (5*z^2)/a^14 - z^2/a^12 + (2*z^2)/a^10 + (12*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + (8*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1751] -> -5 - a^(-6) + a^(-4) + 4/a^2 + a^2 + a^4 - 
   8*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 1752] -> 
  -4 + a^(-8) - 4/a^6 + 4/a^4 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1753] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 27*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (34*z^2)/a^2 + 8*a^2*z^2 - 35*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (34*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1754] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1755] -> 
  -a^(-2) + 6*a^2 - 6*a^4 + 3*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1756] -> 
  -a^2 + a^4 + 3*a^6 - 2*a^10 - 3*a^2*z^2 + a^4*z^2 + 16*a^6*z^2 - 
   4*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 22*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1757] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, Alternating, 1758] -> -a^(-2) + 5*a^2 - 3*a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1759] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1760] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (31*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1761] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 16*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (26*z^2)/a^2 + 4*a^2*z^2 - 24*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (28*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1762] -> -1 + 2*a^2 + 2*a^8 - 2*a^10 - 2*z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - z^4 + 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 1763] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (27*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (27*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1764] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 16*z^2 + z^2/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 
   24*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1765] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 
   4/a^6 + z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (20*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (24*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1766] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (7*z^2)/a^10 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1767] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - a^4 - 13*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 1768] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (26*z^2)/a^8 + (26*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (26*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1769] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (12*z^2)/a^14 - (7*z^2)/a^12 + (27*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + z^4/a^12 + (38*z^4)/a^10 + 
   (5*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 1770] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (4*z^2)/a^14 - (11*z^2)/a^12 + 
   (19*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - z^4/a^12 + 
   (18*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1771] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - 
   (8*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (8*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 1772] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 
   2/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (31*z^2)/a^6 - (18*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 1773] -> -3 - 4/a^4 + 8/a^2 - 8*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (23*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (20*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1774] -> -11 - a^(-4) + 5/a^2 + 13*a^2 - 5*a^4 - 
   29*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 31*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 1775] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 3*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - (10*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1776] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1777] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 8*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 1778] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (19*z^2)/a^8 + (23*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   (6*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1779] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (23*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1780] -> -2/a^6 + 3/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1781] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 1782] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1783] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (4*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (16*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1784] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (13*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (8*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1785] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 1786] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (3*z^2)/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 1787] -> 
  3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 4*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 1788] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 1789] -> 
  1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 3*z^2 - z^2/a^4 + 3*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 3*a^4*z^4 + 
   3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 1790] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (21*z^2)/a^10 - (23*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 - (24*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1791] -> -6 - a^(-6) + 2/a^4 + a^(-2) + 8*a^2 - 
   3*a^4 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1792] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (4*z^2)/a^14 - (11*z^2)/a^12 + (19*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (3*z^4)/a^14 - z^4/a^12 + (18*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1793] -> -1 + 2*a^2 - a^4 + 4*a^6 - 3*a^8 - 2*z^2 + 
   3*a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 + 8*a^6*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 1794] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 - z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1795] -> -3 - 2/a^8 + 9/a^6 - 16/a^4 + 13/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + (29*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1796] -> 
  1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - a^(-2) - z^2/a^10 + (7*z^2)/a^8 - 
   (12*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 1797] -> 4 - 2/a^2 + a^2 - 4*a^4 + 3*a^6 - a^8 + 
   8*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 
   7*z^4 - z^4/a^2 + a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1798] -> 3/a^14 - 10/a^12 + 9/a^10 - 3/a^8 + 2/a^6 + 
   (4*z^2)/a^14 - (24*z^2)/a^12 + (33*z^2)/a^10 - (13*z^2)/a^8 + 
   (9*z^2)/a^6 + z^4/a^14 - (16*z^4)/a^12 + (40*z^4)/a^10 - (22*z^4)/a^8 + 
   (12*z^4)/a^6 - (3*z^6)/a^12 + (19*z^6)/a^10 - (18*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, Alternating, 1799] -> 2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (10*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^4)/a^12 + (10*z^4)/a^10 + z^4/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 1800] -> 
  1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^8 - 
   (11*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 1801] -> 
  2/a^14 - 6/a^12 + 3/a^10 + 2/a^8 - a^(-6) + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^4)/a^12 + (10*z^4)/a^10 + (3*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1802] -> a^(-14) - 2/a^12 - 2/a^10 + 4/a^8 - a^(-6) + 
   a^(-4) - (3*z^2)/a^12 + z^2/a^10 + (7*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1803] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 16/a^8 + 7/a^6 + a^(-4) + z^2/a^14 - 
   (10*z^2)/a^12 + (30*z^2)/a^10 - (35*z^2)/a^8 + (14*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (32*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1804] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (33*z^2)/a^8 + (37*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (34*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1805] -> a^(-16) - 8/a^12 + 8/a^10 + (3*z^2)/a^16 - 
   (9*z^2)/a^14 - (13*z^2)/a^12 + (29*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - 
   (11*z^4)/a^14 - z^4/a^12 + (38*z^4)/a^10 + (5*z^4)/a^8 - (3*z^6)/a^14 + 
   (6*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 1806] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 
   5*a^4 - 41*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 31*a^2*z^2 - 7*a^4*z^2 - 
   42*z^4 - (4*z^4)/a^4 + (24*z^4)/a^2 + 26*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 1807] -> 
  -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 27*z^2 + (5*z^2)/a^2 + 47*a^2*z^2 - 
   25*a^4*z^2 + 4*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 46*a^2*z^4 - 22*a^4*z^4 + 
   3*a^6*z^4 - 11*z^6 + z^6/a^2 + 24*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1808] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (29*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (29*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1809] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (28*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1810] -> 
  -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 8*z^2 + 24*a^2*z^2 - 19*a^4*z^2 + 
   12*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1811] -> 5 - 2/a^2 - 3*a^2 + a^4 + a^6 - a^8 + 9*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 7*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1812] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (26*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 1813] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + (4*z^2)/a^8 - (6*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^6 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 1814] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 3/a^8 + a^(-6) + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (22*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^4 + (5*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1815] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + 
   a^(-4) - (4*z^2)/a^12 + (6*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^10 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1816] -> 
  4 - a^(-6) + 4/a^4 - 6/a^2 + a^2 - a^4 + 3*z^2 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 1817] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 13*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1818] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 - z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (27*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (32*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1819] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (26*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + 
   (13*z^4)/a^10 - (30*z^4)/a^8 + (22*z^4)/a^6 - (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (16*z^6)/a^8 + (15*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 1820] -> 
  -3 + 9*a^2 - 7*a^4 + 3*a^6 - a^8 - 7*z^2 + 24*a^2*z^2 - 24*a^4*z^2 + 
   15*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 12*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1821] -> 1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1822] -> 
  -13 + 2/a^6 - 10/a^4 + 18/a^2 + 4*a^2 - 35*z^2 + (3*z^2)/a^6 - 
   (19*z^2)/a^4 + (41*z^2)/a^2 + 10*a^2*z^2 - 38*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (38*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1823] -> a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 8/a^2 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (37*z^2)/a^6 - (41*z^2)/a^4 + (14*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (35*z^4)/a^6 - (42*z^4)/a^4 + (11*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (23*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1824] -> 
  -5 - a^(-8) + 7/a^6 - 17/a^4 + 17/a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (39*z^2)/a^4 + (40*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (36*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1825] -> 4 - 2/a^2 + a^2 - 4*a^4 + 3*a^6 - a^8 + 
   7*z^2 - z^2/a^4 - a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 - 3*a^2*z^6 - 
   3*a^4*z^6, Knot[14, Alternating, 1826] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + 
   a^2 - a^4 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1827] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 + 
   z^2/a^14 - (6*z^2)/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (3*z^4)/a^12 + (7*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^10 - z^6/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, Alternating, 1828] -> 2 - 2/a^6 + 6/a^4 - 5/a^2 - a^2 + 
   a^4 + 5*z^2 + z^2/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - (11*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 1829] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   6*z^2 + z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1830] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (21*z^2)/a^10 - (23*z^2)/a^8 + (14*z^2)/a^6 + 
   z^2/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (24*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 1831] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 
   3*a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1832] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + z^2/a^16 - z^2/a^14 - (15*z^2)/a^12 + 
   (16*z^2)/a^10 + (9*z^2)/a^8 - (3*z^4)/a^14 - (4*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (2*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1833] -> 
  -2*a^2 + 3*a^4 + 6*a^6 - 8*a^8 + 2*a^10 - 5*a^2*z^2 + 7*a^4*z^2 + 
   16*a^6*z^2 - 11*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 17*a^6*z^4 - 3*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1834] -> 
  3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (34*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (34*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1835] -> a^(-10) - 3/a^8 - a^(-6) + 
   6/a^4 - 2/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + 
   (10*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1836] -> 
  -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 5*z^2 - z^2/a^2 + 21*a^2*z^2 - 
   16*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 14*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 1837] -> 
  -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 31*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 34*a^2*z^2 - 11*a^4*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   38*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1838] -> 
  -1 - a^(-6) + 3/a^4 - 3/a^2 + 6*a^2 - 3*a^4 - 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1839] -> 
  -5 - a^(-6) + a^(-4) + 4/a^2 + a^2 + a^4 - 11*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 1840] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (13*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (8*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1841] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 + 2*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 1842] -> -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (21*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1843] -> 
  2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + a^(-2) + 4*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (21*z^2)/a^6 - (18*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (17*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1844] -> 2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + 
   a^(-2) + 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (18*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (17*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1845] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (23*z^2)/a^8 + (20*z^2)/a^6 - z^2/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (24*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1846] -> 1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 1847] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1848] -> -2/a^6 + 3/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1849] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2 + (5*z^2)/a^10 - 
   (16*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - (8*z^4)/a^8 + 
   (10*z^4)/a^6 + (5*z^4)/a^4 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 1850] -> 4 + a^(-10) - 5/a^8 + 9/a^6 - 4/a^4 - 4/a^2 + 
   5*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 - 
   (10*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1851] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 
   2/a^2 + z^2 + z^2/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (17*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (23*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 1852] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 
   2/a^2 + z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (6*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, Alternating, 1853] -> -12 + a^(-6) - 7/a^4 + 15/a^2 + 4*a^2 - 
   34*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (34*z^2)/a^2 + 11*a^2*z^2 - 39*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (32*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1854] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 
   4/a^6 + z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (20*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (24*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1855] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (7*z^2)/a^10 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1856] -> 
  3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 4*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 1857] -> 
  3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   6*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 1858] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 
   7/a^2 - 4*z^2 - z^2/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (24*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (28*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (6*z^6)/a^4 + (15*z^6)/a^2 - a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[14, Alternating, 1859] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 - 2*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 - z^4 - (6*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + z^6 + (3*z^6)/a^4 + (4*z^6)/a^2, Knot[14, Alternating, 1860] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - a^4 - 13*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 1861] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, Alternating, 1862] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1863] -> 2 - a^(-2) + a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1864] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^2, Knot[14, Alternating, 1865] -> -5 - 2/a^6 + 5/a^4 - a^(-2) + 
   5*a^2 - a^4 - 10*z^2 - z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1866] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (20*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (24*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1867] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1868] -> 3 - 2/a^2 + 5*a^2 - 9*a^4 + 5*a^6 - a^8 + 
   8*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 19*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 
   7*z^4 - z^4/a^2 + a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1869] -> 4/a^10 - 16/a^8 + 20/a^6 - 9/a^4 + 2/a^2 + 
   (4*z^2)/a^10 - (28*z^2)/a^8 + (50*z^2)/a^6 - (28*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (46*z^4)/a^6 - (34*z^4)/a^4 + (9*z^4)/a^2 - 
   (3*z^6)/a^8 + (19*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1870] -> 
  1 + 2/a^10 - 7/a^8 + 5/a^6 + 3/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1871] -> 4/a^14 - 13/a^12 + 10/a^10 + (2*z^2)/a^16 - 
   (2*z^2)/a^14 - (24*z^2)/a^12 + (33*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - 
   (8*z^4)/a^14 - (9*z^4)/a^12 + (40*z^4)/a^10 + (5*z^4)/a^8 - (3*z^6)/a^14 + 
   (4*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 1872] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1873] -> -a^(-2) + 6*a^2 - 6*a^4 + 3*a^6 - a^8 + 
   2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 6*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1874] -> 3/a^10 - 12/a^8 + 15/a^6 - 7/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (37*z^2)/a^6 - (20*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (35*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1875] -> 
  3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + z^2/a^16 - z^2/a^14 - (16*z^2)/a^12 + 
   (20*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 1876] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (13*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1877] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1878] -> 
  -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 30*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 31*z^4 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1879] -> 2/a^12 - 7/a^10 + 6/a^8 + a^(-6) - 3/a^4 + 
   2/a^2 + z^2/a^12 - (10*z^2)/a^10 + (16*z^2)/a^8 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - z^8/a^4, Knot[14, Alternating, 1880] -> 
  1 + a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-2) + 2*z^2 - (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 1881] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 + z^2/a^14 - (6*z^2)/a^12 + 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^12 + 
   (7*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 + (3*z^6)/a^10 - 
   z^6/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 1882] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   16*z^2 + z^2/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1883] -> a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 + 
   z^2/a^16 - (5*z^2)/a^14 - z^2/a^12 + (2*z^2)/a^10 + (12*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + (8*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1884] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1885] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 15*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (33*z^2)/a^2 + 2*a^2*z^2 - 20*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (33*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1886] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1887] -> 
  1 + 2/a^10 - 9/a^8 + 13/a^6 - 7/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (28*z^2)/a^6 - (18*z^2)/a^4 + 3*z^4 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (18*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1888] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^2 + 
   21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1889] -> -2/a^12 + 9/a^10 - 14/a^8 + 7/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (18*z^2)/a^10 - (32*z^2)/a^8 + (19*z^2)/a^6 - z^4/a^12 + 
   (13*z^4)/a^10 - (32*z^4)/a^8 + (22*z^4)/a^6 - (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (16*z^6)/a^8 + (15*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 1890] -> 
  -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 5/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1891] -> a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + 3/a^4 - 
   (5*z^2)/a^12 + (17*z^2)/a^10 - (14*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + (9*z^4)/a^10 - (12*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 1892] -> -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 5*z^2 - 
   z^2/a^2 + 21*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1893] -> -5 - a^(-6) + a^(-4) + 4/a^2 + a^2 + a^4 - 
   11*z^2 + z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 1894] -> -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (21*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1895] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1896] -> 2/a^10 - 8/a^8 + 12/a^6 - 9/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (30*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (30*z^4)/a^6 - (28*z^4)/a^4 + (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1897] -> 
  2/a^10 - 8/a^8 + 12/a^6 - 9/a^4 + 4/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (30*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (30*z^4)/a^6 - (28*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1898] -> -10 + 2/a^6 - 11/a^4 + 18/a^2 + 
   2*a^2 - 26*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (40*z^2)/a^2 + 6*a^2*z^2 - 
   28*z^4 + z^4/a^6 - (13*z^4)/a^4 + (36*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1899] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1900] -> -1 - a^(-4) + 2/a^2 + 3*a^2 - 4*a^4 + 3*a^6 - 
   a^8 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 1901] -> 
  1 + a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - a^(-2) + 2*z^2 - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + (6*z^4)/a^8 - (10*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, Alternating, 1902] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^16 - (4*z^2)/a^14 - (8*z^2)/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 - z^4/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 1903] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1904] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1905] -> -a^(-4) + 2/a^2 - a^2 + a^4 + a^6 - a^8 - 
   z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 1906] -> 1 + a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 
   3/a^4 + a^(-2) + 2*z^2 - (4*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + z^4 + (5*z^4)/a^8 - (2*z^4)/a^6 - (8*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 1907] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1908] -> -9 + a^(-8) - 4/a^6 + 3/a^4 + 6/a^2 + 4*a^2 - 
   16*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1909] -> -3 - 2/a^8 + 9/a^6 - 16/a^4 + 13/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + (29*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1910] -> 
  1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - a^(-2) - z^2/a^10 + (7*z^2)/a^8 - 
   (12*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 1911] -> 1 + 2/a^10 - 10/a^8 + 17/a^6 - 12/a^4 + 
   3/a^2 + 3*z^2 + z^2/a^10 - (13*z^2)/a^8 + (37*z^2)/a^6 - (33*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (26*z^4)/a^6 - (34*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 - (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1912] -> 
  -3 - 4/a^4 + 8/a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (23*z^2)/a^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (28*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1913] -> 
  -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 31*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 34*a^2*z^2 - 11*a^4*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   38*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 1914] -> 
  -4 + 14*a^2 - 16*a^4 + 10*a^6 - 3*a^8 - 8*z^2 + 31*a^2*z^2 - 38*a^4*z^2 + 
   25*a^6*z^2 - 6*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 39*a^4*z^4 + 24*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 12*a^2*z^6 - 22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1915] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1916] -> 
  3 - a^(-10) + 4/a^8 - 7/a^6 + 8/a^4 - 6/a^2 + 5*z^2 + (4*z^2)/a^8 - 
   (11*z^2)/a^6 + (14*z^2)/a^4 - (12*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 1917] -> 
  2/a^14 - 9/a^12 + 15/a^10 - 13/a^8 + 5/a^6 + a^(-4) + z^2/a^14 - 
   (13*z^2)/a^12 + (34*z^2)/a^10 - (32*z^2)/a^8 + (11*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^4)/a^12 + (26*z^4)/a^10 - (32*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^6)/a^10 - (16*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1918] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - (4*z^2)/a^12 + 
   (10*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1919] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (26*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 1920] -> 
  1 + 2/a^10 - 9/a^8 + 13/a^6 - 7/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (28*z^2)/a^6 - (18*z^2)/a^4 + 3*z^4 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (18*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1921] -> 6 - 2/a^2 - 5*a^2 + 2*a^4 + a^6 - a^8 + 
   11*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 8*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1922] -> 3 + a^(-8) - 5/a^6 + 9/a^4 - 7/a^2 + z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (15*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1923] -> -2/a^12 + 11/a^10 - 20/a^8 + 13/a^6 - 
   a^(-4) - (3*z^2)/a^12 + (21*z^2)/a^10 - (45*z^2)/a^8 + (34*z^2)/a^6 - 
   (5*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (41*z^4)/a^8 + (36*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^6)/a^10 - (18*z^6)/a^8 + (21*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 1924] -> -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 3/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + (3*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 1925] -> 
  2/a^10 - 9/a^8 + 16/a^6 - 14/a^4 + 6/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (39*z^2)/a^6 - (36*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (37*z^4)/a^6 - (39*z^4)/a^4 + (10*z^4)/a^2 - (3*z^6)/a^8 + (17*z^6)/a^6 - 
   (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 1926] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 
   3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1927] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (21*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1928] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1929] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 15*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (33*z^2)/a^2 + 2*a^2*z^2 - 20*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (33*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1930] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 1931] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1932] -> -4 + 13*a^2 - 12*a^4 + 5*a^6 - a^8 - 8*z^2 + 
   29*a^2*z^2 - 31*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 27*a^2*z^4 - 
   35*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - z^6 + 12*a^2*z^6 - 21*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 1933] -> 5 - 2/a^2 - a^2 - 3*a^4 + 3*a^6 - a^8 + 
   9*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   7*z^4 - z^4/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1934] -> -3 + 11*a^2 - 15*a^4 + 13*a^6 - 5*a^8 - 
   7*z^2 + 27*a^2*z^2 - 36*a^4*z^2 + 30*a^6*z^2 - 8*a^8*z^2 - 5*z^4 + 
   26*a^2*z^4 - 37*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 1935] -> 2 - a^(-2) + a^2 - 4*a^4 + 
   6*a^6 - 3*a^8 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1936] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (29*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1937] -> 
  -8 - a^(-6) + a^(-4) + 4/a^2 + 7*a^2 - 2*a^4 - 15*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1938] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1939] -> 1 - a^(-2) + 6*a^2 - 10*a^4 + 7*a^6 - 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 6*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1940] -> -8 - a^(-6) + a^(-4) + 4/a^2 + 7*a^2 - 
   2*a^4 - 15*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1941] -> 3/a^10 - 12/a^8 + 15/a^6 - 7/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (37*z^2)/a^6 - (20*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (35*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1942] -> 
  -a^2 - a^4 + 11*a^6 - 10*a^8 + 2*a^10 - 3*a^2*z^2 - 2*a^4*z^2 + 
   28*a^6*z^2 - 15*a^8*z^2 - 3*a^2*z^4 + 28*a^6*z^4 - 6*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 1943] -> 
  2/a^14 - 9/a^12 + 15/a^10 - 13/a^8 + 5/a^6 + a^(-4) + z^2/a^14 - 
   (13*z^2)/a^12 + (34*z^2)/a^10 - (32*z^2)/a^8 + (11*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^4)/a^12 + (26*z^4)/a^10 - (32*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^6)/a^10 - (16*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1944] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - (4*z^2)/a^12 + 
   (10*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 1945] -> 
  -5 - a^(-8) + 5/a^6 - 13/a^4 + 15/a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (31*z^2)/a^4 + (37*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (31*z^4)/a^4 + (40*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1946] -> a^(-14) - 6/a^12 + 14/a^10 - 16/a^8 + 7/a^6 + 
   a^(-4) + z^2/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 - (35*z^2)/a^8 + 
   (14*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (32*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 1947] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (33*z^2)/a^8 + (37*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (34*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1948] -> -3 + 11*a^2 - 15*a^4 + 13*a^6 - 5*a^8 - 
   7*z^2 + 27*a^2*z^2 - 36*a^4*z^2 + 30*a^6*z^2 - 8*a^8*z^2 - 5*z^4 + 
   26*a^2*z^4 - 37*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 1949] -> -13 + 2/a^6 - 10/a^4 + 18/a^2 + 
   4*a^2 - 35*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (41*z^2)/a^2 + 10*a^2*z^2 - 
   38*z^4 + z^4/a^6 - (13*z^4)/a^4 + (38*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 1950] -> 2 - a^(-2) + a^2 - 4*a^4 + 6*a^6 - 
   3*a^8 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1951] -> a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 8/a^2 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (37*z^2)/a^6 - (41*z^2)/a^4 + (14*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (35*z^4)/a^6 - (42*z^4)/a^4 + (11*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (23*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1952] -> 
  -5 - a^(-8) + 7/a^6 - 17/a^4 + 17/a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (39*z^2)/a^4 + (40*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (36*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1953] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   6*z^2 + z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1954] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 1955] -> 
  4 + a^(-10) - 5/a^8 + 9/a^6 - 4/a^4 - 4/a^2 + 5*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1956] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 1957] -> 
  1 + a^(-10) - 6/a^8 + 12/a^6 - 10/a^4 + 3/a^2 + 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (28*z^4)/a^4 + z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1958] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 28*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 - 32*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1959] -> -6 - a^(-6) + 2/a^4 + a^(-2) + 8*a^2 - 
   3*a^4 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1960] -> 1 - a^(-2) + 5*a^2 - 9*a^4 + 8*a^6 - 3*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 6*a^2*z^4 - 17*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1961] -> 1 + a^(-12) - 5/a^10 + 9/a^8 - 8/a^6 + 
   4/a^4 - a^(-2) + 2*z^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - (15*z^2)/a^6 + 
   (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, Alternating, 1962] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   a^4 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1963] -> 4 - a^(-8) + 3/a^6 - 4/a^4 + a^(-2) - 2*a^2 + 
   8*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 1964] -> -9 + a^(-8) - 4/a^6 + 3/a^4 + 6/a^2 + 4*a^2 - 
   16*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1965] -> 1 + 2/a^10 - 10/a^8 + 17/a^6 - 12/a^4 + 
   3/a^2 + 3*z^2 + z^2/a^10 - (13*z^2)/a^8 + (37*z^2)/a^6 - (33*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (26*z^4)/a^6 - (34*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 - (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 1966] -> 
  7 - 2/a^2 - 9*a^2 + 7*a^4 - a^6 - a^8 + 12*z^2 - (3*z^2)/a^2 - 15*a^2*z^2 + 
   9*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 8*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 1967] -> 
  -2/a^12 + 11/a^10 - 20/a^8 + 13/a^6 - a^(-4) - (3*z^2)/a^12 + 
   (21*z^2)/a^10 - (45*z^2)/a^8 + (34*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^12 + 
   (14*z^4)/a^10 - (41*z^4)/a^8 + (36*z^4)/a^6 - (8*z^4)/a^4 + (3*z^6)/a^10 - 
   (18*z^6)/a^8 + (21*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 1968] -> 
  -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (12*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 1969] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (34*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (34*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1970] -> 
  a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 1971] -> 
  2 - a^(-2) + a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 1972] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 
   3*a^4 - 30*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 
   31*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 1973] -> 
  -11 - a^(-4) + 5/a^2 + 13*a^2 - 5*a^4 - 29*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 31*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 1974] -> 1 + a^(-12) - 5/a^10 + 9/a^8 - 8/a^6 + 
   4/a^4 - a^(-2) + 2*z^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - (15*z^2)/a^6 + 
   (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, Alternating, 1975] -> a^(-18) - 8/a^16 + 24/a^14 - 
   32/a^12 + 15/a^10 + a^(-8) - (5*z^2)/a^16 + (31*z^2)/a^14 - 
   (65*z^2)/a^12 + (43*z^2)/a^10 + (4*z^2)/a^8 + (10*z^4)/a^14 - 
   (44*z^4)/a^12 + (46*z^4)/a^10 + (6*z^4)/a^8 - (10*z^6)/a^12 + 
   (22*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 1976] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (27*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1977] -> 
  -9 - 2/a^8 + 13/a^6 - 30/a^4 + 29/a^2 - 16*z^2 - (3*z^2)/a^8 + 
   (23*z^2)/a^6 - (58*z^2)/a^4 + (57*z^2)/a^2 - 12*z^4 - z^4/a^8 + 
   (14*z^4)/a^6 - (46*z^4)/a^4 + (49*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (18*z^6)/a^4 + (24*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1978] -> 1 + a^(-12) - 4/a^10 + 3/a^8 + 5/a^6 - 
   8/a^4 + 3/a^2 + 2*z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (6*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 1979] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^6 - a^8 - 
   4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 1980] -> -1 - a^(-10) + 6/a^8 - 12/a^6 + 8/a^4 + 
   a^(-2) - 3*z^2 - z^2/a^10 + (8*z^2)/a^8 - (19*z^2)/a^6 + (13*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + (9*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 1981] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   16*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (28*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1982] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (28*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1983] -> 
  -9 - 2/a^8 + 13/a^6 - 30/a^4 + 29/a^2 - 16*z^2 - (3*z^2)/a^8 + 
   (23*z^2)/a^6 - (58*z^2)/a^4 + (57*z^2)/a^2 - 12*z^4 - z^4/a^8 + 
   (14*z^4)/a^6 - (46*z^4)/a^4 + (49*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (18*z^6)/a^4 + (24*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 1984] -> 1 - a^(-2) + 5*a^2 - 9*a^4 + 8*a^6 - 3*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 6*a^2*z^4 - 17*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 1985] -> -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 
   26*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (40*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (36*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1986] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1987] -> 1 + a^(-12) - 4/a^10 + 3/a^8 + 5/a^6 - 
   8/a^4 + 3/a^2 + 2*z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (6*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 1988] -> -1 - a^(-6) + 3/a^4 - 3/a^2 + 6*a^2 - 3*a^4 - 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 
   z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 1989] -> 5 - 2/a^2 - 7*a^4 + 8*a^6 - 3*a^8 + 9*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 1990] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 2*a^4 + a^6 - 
   a^8 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + (2*z^4)/a^2 - 4*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 1991] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 1992] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 1993] -> -a^(-4) + 2/a^2 + a^2 - 3*a^4 + 3*a^6 - a^8 - 
   z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   z^4 + (2*z^4)/a^2 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 1994] -> -3 - 2/a^8 + 9/a^6 - 16/a^4 + 13/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + (29*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 1995] -> 
  -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 26*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (40*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (36*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 1996] -> -2*a^2 + 3*a^4 + 6*a^6 - 8*a^8 + 2*a^10 - 
   5*a^2*z^2 + 7*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   17*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 1997] -> -18 - 4/a^4 + 14/a^2 + 12*a^2 - 3*a^4 - 
   45*z^2 - (4*z^2)/a^4 + (25*z^2)/a^2 + 34*a^2*z^2 - 9*a^4*z^2 - 42*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 38*a^2*z^4 - 10*a^4*z^4 - 18*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 1998] -> 4/a^10 - 16/a^8 + 20/a^6 - 9/a^4 + 2/a^2 + 
   (4*z^2)/a^10 - (28*z^2)/a^8 + (50*z^2)/a^6 - (28*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (46*z^4)/a^6 - (34*z^4)/a^4 + (9*z^4)/a^2 - 
   (3*z^6)/a^8 + (19*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 1999] -> 
  -6 - 2/a^6 + 5/a^4 - a^(-2) + 7*a^2 - 2*a^4 - 7*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (8*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2000] -> 
  1 + 2/a^10 - 7/a^8 + 5/a^6 + 3/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2001] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 
   41*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 31*a^2*z^2 - 7*a^4*z^2 - 42*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 26*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2002] -> -4 + 14*a^2 - 16*a^4 + 10*a^6 - 
   3*a^8 - 8*z^2 + 31*a^2*z^2 - 38*a^4*z^2 + 25*a^6*z^2 - 6*a^8*z^2 - 5*z^4 + 
   28*a^2*z^4 - 39*a^4*z^4 + 24*a^6*z^4 - 4*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 2003] -> -11 + 2/a^2 + 20*a^2 - 12*a^4 + 
   2*a^6 - 27*z^2 + (5*z^2)/a^2 + 47*a^2*z^2 - 25*a^4*z^2 + 4*a^6*z^2 - 
   25*z^4 + (4*z^4)/a^2 + 46*a^2*z^4 - 22*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   z^6/a^2 + 24*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2004] -> 
  7 - 2/a^2 - 9*a^2 + 7*a^4 - a^6 - a^8 + 12*z^2 - (3*z^2)/a^2 - 15*a^2*z^2 + 
   9*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 8*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2005] -> 
  5 - 2/a^2 - 7*a^4 + 8*a^6 - 3*a^8 + 9*z^2 - (3*z^2)/a^2 - a^2*z^2 - 
   12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2006] -> 
  -3 - 2/a^8 + 9/a^6 - 16/a^4 + 13/a^2 - 7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (37*z^2)/a^4 + (29*z^2)/a^2 - 7*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (35*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2007] -> -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 
   26*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (40*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (36*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2008] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2009] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2010] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - 
   2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2011] -> 4*a^2 - 9*a^4 + 13*a^6 - 10*a^8 + 3*a^10 + 
   8*a^2*z^2 - 23*a^4*z^2 + 32*a^6*z^2 - 24*a^8*z^2 + 7*a^10*z^2 + 
   5*a^2*z^4 - 25*a^4*z^4 + 33*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   12*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 2012] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + 3*z^2 - 7*a^2*z^2 + 5*a^4*z^2 + 
   a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 + z^4 - 7*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2013] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   16*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2014] -> 
  2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2015] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2016] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2017] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2018] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   20*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2019] -> 2 + 2/a^10 - 7/a^8 + 11/a^6 - 8/a^4 + 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (24*z^2)/a^6 - 
   (15*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (21*z^4)/a^6 - (8*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2020] -> -11 - 2/a^4 + 8/a^2 + 7*a^2 - a^6 - 25*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 22*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 2021] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 
   3/a^2 + a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 2022] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 2023] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2024] -> 
  -1 + 5*a^2 - 8*a^4 + 9*a^6 - 4*a^8 - 4*z^2 + 17*a^2*z^2 - 27*a^4*z^2 + 
   27*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 34*a^4*z^4 + 27*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2025] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2026] -> 
  -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 18*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 
   25*a^4*z^2 + 8*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 27*a^4*z^4 + 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 21*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2027] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2028] -> 
  a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2029] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2030] -> -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 
   31*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 34*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2031] -> -a^(-4) + 2/a^2 - 2*a^2 + 4*a^4 - 
   2*a^6 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2032] -> 2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 
   3*z^2 - 5*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + z^4 - 
   6*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 2033] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   2*z^2 + z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   2*z^4 - 3*a^4*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 2034] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 3*a^4 - 2*a^6 + 
   a^8 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2035] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 20*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 2036] -> 
  -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 8*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   7*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 2037] -> 
  1 + a^(-4) - a^(-2) - a^6 + a^8 + z^2/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 2038] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 2039] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 
   2/a^2 + a^2 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2040] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2041] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   18*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 24*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2042] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2043] -> a^4 + 2*a^6 - 5*a^8 + 7*a^10 - 
   5*a^12 + a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 17*a^10*z^2 - 
   9*a^12*z^2 + a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - 10*a^8*z^4 + 16*a^10*z^4 - 
   4*a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 
   2*a^8*z^8, Knot[14, Alternating, 2044] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   7*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 2045] -> 
  2 - 3*a^2 + 2*a^4 + 3*a^6 - 5*a^8 + 2*a^10 + 3*z^2 - 6*a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 6*a^2*z^4 + 5*a^6*z^4 - 
   7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2046] -> 
  -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - 2*z^2 + z^2/a^2 - 2*a^8*z^2 + 
   a^10*z^2 - 2*z^4 - a^2*z^4 + a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 2047] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2048] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2049] -> 2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 2050] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2051] -> 2 + 2/a^4 - 3/a^2 - a^6 + a^8 + 4*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 
   7*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2052] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 2053] -> 2 - 2/a^8 + 6/a^6 - 7/a^4 + 
   3/a^2 - a^2 + 6*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (20*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2054] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 2055] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 3*z^2 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (18*z^2)/a^6 - (10*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (11*z^4)/a^8 + (17*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2056] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2057] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 2058] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 2059] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2060] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2061] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2062] -> -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + a^4 - 
   2*z^2 + z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 2063] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 4*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 2064] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 2065] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 2066] -> 
  2 - 4*a^2 + 5*a^4 - a^6 - 2*a^8 + a^10 + 3*z^2 - 8*a^2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + z^4 - 7*a^2*z^4 + 5*a^4*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2067] -> 
  -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 2*z^2 + z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 + a^10*z^2 - 2*z^4 - a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 2068] -> 
  3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2069] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 2070] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2071] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + z^2 + z^2/a^2 - 4*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 - 4*a^2*z^4 + 
   2*a^4*z^4 - 5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 2072] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 2*z^2 + 
   a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2073] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 2074] -> 
  -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 + z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - 
   (23*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (21*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2075] -> 
  5 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 11*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 11*z^4 + (6*z^4)/a^4 - 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2076] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 2077] -> 
  -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + a^4 - 2*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^2, Knot[14, Alternating, 2078] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 2079] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 9*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2080] -> 
  -8 + 2/a^6 - 7/a^4 + 11/a^2 + 3*a^2 - 19*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (25*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2081] -> 3 + a^(-6) - 2/a^4 + a^(-2) - 4*a^2 + 2*a^4 + 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2082] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 25*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 28*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2083] -> 1 - 2*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 
   2*z^2 - 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 
   z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 2084] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 25*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 28*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2085] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - 
   a^6 + a^8 - z^2 - (3*z^2)/a^4 - 3*a^6*z^2 + 2*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, Alternating, 2086] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + 2*a^4 - a^6 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 2087] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 
   5*z^2 - z^2/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2088] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2089] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   z^4 + z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2090] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2091] -> 
  -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 2*a^4 - 9*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (19*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (20*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2092] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - a^2 + a^6 + 
   z^2/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   4*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[14, Alternating, 2093] -> 5 + a^(-4) - 3/a^2 - 4*a^2 + 
   3*a^4 - a^6 + 10*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2094] -> 2*a^4 - 2*a^6 + a^8 + 3*a^10 - 4*a^12 + 
   a^14 + 5*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 14*a^10*z^2 - 9*a^12*z^2 + 
   a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 2095] -> -2 - 3/a^8 + 7/a^6 - 8/a^4 + 7/a^2 - 7*z^2 - 
   (7*z^2)/a^8 + (22*z^2)/a^6 - (25*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   (5*z^4)/a^8 + (25*z^4)/a^6 - (31*z^4)/a^4 + (25*z^4)/a^2 - z^6 - z^6/a^8 + 
   (12*z^6)/a^6 - (20*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2096] -> 
  -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 + 2*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2097] -> 
  5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 2098] -> 2 - 2/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) - a^2 + 6*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - 
   3*a^2*z^2 + 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2099] -> 3 - a^(-8) + a^(-6) + a^(-4) - 
   2/a^2 - a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 2100] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 20*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2101] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2102] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2103] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2104] -> 2*a^4 - 2*a^6 + a^8 + 3*a^10 - 4*a^12 + 
   a^14 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 9*a^10*z^2 - 
   5*a^12*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 7*a^10*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6, Knot[14, Alternating, 2105] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 5*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 2106] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2107] -> 2 - 4*a^2 + 5*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   5*z^2 - z^2/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 9*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2108] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 24*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2109] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2110] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   z^4 + z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2111] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2112] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2113] -> 1 - 2*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 2114] -> 2 - 3*a^2 + 2*a^4 + 3*a^6 - 5*a^8 + 2*a^10 + 
   3*z^2 - 6*a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 
   6*a^2*z^4 + 5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2115] -> 
  3 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 - 3*a^2 + 2*a^4 + 7*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 2116] -> 
  -1 + a^(-8) - 2/a^6 + 2/a^4 + a^2 - a^4 + a^6 - 2*z^2 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, Alternating, 2117] -> 
  5 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 11*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 11*z^4 + (6*z^4)/a^4 - 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2118] -> a^(-14) - 5/a^12 + 8/a^10 - 5/a^8 - a^(-6) + 
   3/a^4 - (5*z^2)/a^12 + (15*z^2)/a^10 - (10*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 + (9*z^4)/a^10 - (9*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (5*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2119] -> 2*a^4 - a^6 - 2*a^8 + 7*a^10 - 7*a^12 + 
   2*a^14 + 5*a^4*z^2 - 2*a^6*z^2 - 5*a^8*z^2 + 18*a^10*z^2 - 11*a^12*z^2 + 
   a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 8*a^8*z^4 + 17*a^10*z^4 - 4*a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 2120] -> -16 - 4/a^4 + 12/a^2 + 14*a^2 - 5*a^4 - 
   39*z^2 - (8*z^2)/a^4 + (29*z^2)/a^2 + 32*a^2*z^2 - 9*a^4*z^2 - 39*z^4 - 
   (5*z^4)/a^4 + (28*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2121] -> -4 - 2/a^4 + 5/a^2 + a^2 + 3*a^4 - 
   2*a^6 - 6*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 4*z^4 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2122] -> -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 
   29*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 29*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2123] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2124] -> 1 + 2/a^10 - 7/a^8 + 10/a^6 - 7/a^4 + 2/a^2 + 
   2*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (22*z^2)/a^6 - (14*z^2)/a^4 + z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (19*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2125] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 + z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (23*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2126] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - 
   4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2127] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 2128] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - 2*a^2 + 
   a^6 + 4*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + (5*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[14, Alternating, 2129] -> a^(-14) - 5/a^12 + 8/a^10 - 
   6/a^8 + 2/a^6 + a^(-2) - (5*z^2)/a^12 + (16*z^2)/a^10 - (12*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (8*z^4)/a^10 - (10*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2130] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2131] -> 2 - 2/a^6 + 5/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 
   2*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - (9*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   z^4 - z^4/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 2132] -> -a^(-6) + 2/a^4 - a^(-2) + a^2 + a^4 - a^6 - 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + (2*z^4)/a^4 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 2133] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2134] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2135] -> -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 
   19*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   26*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2136] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2137] -> -8 + 2/a^6 - 7/a^4 + 11/a^2 + 3*a^2 - 
   19*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2138] -> 
  3 + a^(-6) - 2/a^4 + a^(-2) - 4*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2139] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 2/a^2 + a^2 + z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, Alternating, 2140] -> -3 + a^(-8) - a^(-6) - a^(-4) + 
   4/a^2 - a^2 + 2*a^4 - 6*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 2141] -> a^(-8) - a^(-6) + a^(-2) - a^2 + a^6 - z^2 - 
   (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4, Knot[14, Alternating, 2142] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 8*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 
   8*a^4*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 2143] -> a^2 - a^4 + 2*a^6 - 2*a^8 + 
   4*a^10 - 4*a^12 + a^14 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   8*a^10*z^2 - 4*a^12*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 
   5*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, Alternating, 2144] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 2*a^2 + 2*a^4 - 
   a^6 + 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2145] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2146] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 2147] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2148] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2149] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + z^2/a^6 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2150] -> 5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 
   10*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2151] -> 6 + a^(-4) - 3/a^2 - 7*a^2 + 7*a^4 - 4*a^6 + 
   a^8 + 10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 14*a^2*z^2 + 11*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 2152] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2153] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2154] -> -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 
   19*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   26*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2155] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 3*a^2*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + z^4 - 4*a^2*z^4 - 
   a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2156] -> 
  -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 29*z^2 - (6*z^2)/a^4 + 
   (22*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 29*z^4 - (4*z^4)/a^4 + 
   (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2157] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2158] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 3*a^2*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + z^4 - 4*a^2*z^4 - 
   a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2159] -> 
  3 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 - 3*a^2 + 2*a^4 + 9*z^2 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + (6*z^4)/a^4 - 
   (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2160] -> 6 + a^(-8) - 3/a^6 + 6/a^4 - 7/a^2 - 3*a^2 + 
   a^6 + 9*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   (3*z^6)/a^2, Knot[14, Alternating, 2161] -> 2/a^14 - 9/a^12 + 15/a^10 - 
   12/a^8 + 3/a^6 + 2/a^4 + z^2/a^14 - (13*z^2)/a^12 + (33*z^2)/a^10 - 
   (29*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (4*z^4)/a^12 + (25*z^4)/a^10 - 
   (29*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2162] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 2*z^2 + 
   a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2163] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - a^(-6) + a^(-4) + a^(-2) - 
   (4*z^2)/a^12 + (10*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (6*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2164] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 5*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 2165] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 
   2*a^4 - 24*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 
   25*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2166] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 2167] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 4*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 2168] -> 8 - a^(-6) + 4/a^4 - 7/a^2 - 5*a^2 + 3*a^4 - 
   a^6 + 13*z^2 - z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 - 9*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2169] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 20*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2170] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 
   8*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2171] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^4*z^2 - 
   2*a^6*z^2 - 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2172] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2173] -> -16 - 4/a^4 + 12/a^2 + 14*a^2 - 5*a^4 - 
   39*z^2 - (8*z^2)/a^4 + (29*z^2)/a^2 + 32*a^2*z^2 - 9*a^4*z^2 - 39*z^4 - 
   (5*z^4)/a^4 + (28*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2174] -> -4 - 2/a^4 + 5/a^2 + a^2 + 3*a^4 - 
   2*a^6 - 6*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 4*z^4 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2175] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2176] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2177] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2178] -> a^2 + a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 2179] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - 5*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2180] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2181] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2182] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2183] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2184] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2185] -> 4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 
   6*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2186] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 6*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2187] -> 
  -1 + 6*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 3*z^2 + 17*a^2*z^2 - 27*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 31*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2188] -> 
  1 - a^2 + 2*a^4 - 3*a^6 + 4*a^8 - 2*a^10 + z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 2*z^4 + 2*a^2*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 2189] -> 4 - a^(-2) - 4*a^2 + a^4 + 3*a^6 - 2*a^8 + 
   8*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   6*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2190] -> 1 - a^4 + a^6 + a^8 - a^10 + z^2 + a^2*z^2 - 
   3*a^4*z^2 + 3*a^8*z^2 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 2191] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 5*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   4*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2192] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + 
   4*a^2*z^2 - 13*a^4*z^2 + 25*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 22*a^4*z^4 + 29*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 2193] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 
   z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2194] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + 4*a^2*z^2 - 13*a^4*z^2 + 
   23*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 
   27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2195] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 2196] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 
   3*a^4 - 22*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   28*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 16*z^6 - 
   (4*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2197] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 
   7*z^2 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2198] -> 
  3 + a^(-4) - 2/a^2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 - 
   9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 2199] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 
   2*a^10 + 4*a^2*z^2 - 13*a^4*z^2 + 25*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 22*a^4*z^4 + 29*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 2200] -> a^2 + a^4 - a^6 + z^2 - a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2201] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 25*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2202] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2203] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2204] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2205] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2206] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 2207] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 13*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2208] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2209] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 13*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2210] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 19*z^4 + (5*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 2211] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2212] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2213] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4/a^4 + 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2214] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + z^2 - a^2*z^2 - 5*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 - 2*z^4 + 2*a^2*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 2215] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2216] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + z^4/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, Alternating, 2217] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 6*a^4*z^2 + 17*a^6*z^2 - 
   11*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 24*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2218] -> 3*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 2219] -> -1 + a^(-2) + a^2 - a^6 + 2*a^8 - 
   a^10 - 2*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 2220] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   2*z^2 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2221] -> -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 
   2*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2222] -> 
  a^(-2) - a^2 + a^4 - a^6 + 2*a^8 - a^10 - a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, Alternating, 2223] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 
   3*a^2*z^4 - 13*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 2224] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2225] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2226] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   3*z^2 - z^2/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2227] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2/a^2 - a^2*z^2 - 5*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2228] -> 2 - 4*a^4 + 4*a^6 - a^8 - z^2 + 5*a^2*z^2 - 
   15*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2229] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2230] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2231] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2232] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2233] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2234] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 
   17*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2235] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2236] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2237] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   16*z^2 - (2*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2238] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2239] -> -6 + 3/a^2 + 5*a^2 - a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2240] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2241] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2242] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2243] -> 2 - a^2 - a^4 + a^6 + 2*a^2*z^2 - 
   10*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 18*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2244] -> a^(-4) - a^(-2) + a^2 - 9*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 2245] -> 
  a^(-2) - a^4 + a^6 - z^2 - a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2246] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 2247] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2248] -> 
  3 - a^(-2) - 2*a^4 + a^6 - z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2249] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2250] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 12*z^2 - 
   z^2/a^6 + z^2/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2251] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2252] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 2253] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2254] -> 
  a^(-2) - a^4 + a^6 - z^2 - a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2255] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2256] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2257] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + 2*z^2 + 
   a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2258] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2259] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2260] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2261] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (19*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 2262] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   21*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2263] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 2264] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2265] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   26*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2266] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2267] -> 2/a^14 - 5/a^12 + 4/a^8 + (2*z^2)/a^16 - 
   (5*z^2)/a^14 - (6*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 + z^4/a^16 - 
   (9*z^4)/a^14 + (4*z^4)/a^12 + (13*z^4)/a^10 + (13*z^4)/a^8 - 
   (3*z^6)/a^14 + (7*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 2268] -> 
  -4 - 2/a^8 + 10/a^6 - 19/a^4 + 16/a^2 - 8*z^2 - (5*z^2)/a^8 + 
   (25*z^2)/a^6 - (45*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (24*z^4)/a^6 - (44*z^4)/a^4 + (29*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (23*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2269] -> 
  -4*a^4 + 15*a^6 - 14*a^8 + 5*a^10 - a^12 - 12*a^4*z^2 + 39*a^6*z^2 - 
   22*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 13*a^4*z^4 + 40*a^6*z^4 - 7*a^8*z^4 - 
   3*a^10*z^4 - 6*a^4*z^6 + 22*a^6*z^6 + 6*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 2270] -> 1 + a^(-10) - 6/a^8 + 12/a^6 - 10/a^4 + 
   3/a^2 + 2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - 
   (19*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2271] -> 
  1 + a^(-10) - 6/a^8 + 12/a^6 - 10/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (24*z^2)/a^6 - (19*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2272] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2273] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2274] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2275] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   24*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2276] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 
   4*a^2 - 28*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (30*z^2)/a^2 + 8*a^2*z^2 - 
   30*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 2277] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 
   2/a^2 + z^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (26*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2278] -> 
  3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + (2*z^2)/a^16 - (3*z^2)/a^14 - 
   (19*z^2)/a^12 + (27*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (8*z^4)/a^14 - 
   (7*z^4)/a^12 + (36*z^4)/a^10 + (6*z^4)/a^8 - (3*z^6)/a^14 + (4*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 2279] -> -1 - 2/a^8 + 9/a^6 - 14/a^4 + 9/a^2 - 3*z^2 - 
   (5*z^2)/a^8 + (24*z^2)/a^6 - (37*z^2)/a^4 + (20*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (41*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (23*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2280] -> 
  -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 24*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (3*z^4)/a^6 - 
   (18*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2281] -> -3 - a^(-8) + 6/a^6 - 13/a^4 + 12/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (22*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2282] -> 
  2/a^14 - 8/a^12 + 11/a^10 - 8/a^8 + 3/a^6 + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (26*z^2)/a^10 - (20*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (22*z^4)/a^10 - (22*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2283] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2284] -> 1 + 2/a^10 - 9/a^8 + 13/a^6 - 7/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (28*z^2)/a^6 - 
   (14*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2285] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 2286] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 33*z^2 - (2*z^2)/a^4 + 
   (14*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 34*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   36*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2287] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 20*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + 
   (33*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + 
   (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2288] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2289] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2290] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 9*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 + a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (28*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2291] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2292] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2293] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 30*z^2 - 
   (4*z^2)/a^4 + (21*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 36*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 26*a^2*z^4 - 7*a^4*z^4 - 18*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2294] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (30*z^2)/a^4 + (19*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (17*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2295] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2296] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (29*z^2)/a^8 + (24*z^2)/a^6 - (3*z^2)/a^4 - 
   z^4/a^12 + (13*z^4)/a^10 - (33*z^4)/a^8 + (31*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^6)/a^10 - (17*z^6)/a^8 + (20*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 2297] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (10*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2298] -> 4/a^16 - 13/a^14 + 9/a^12 + a^(-10) + 
   (10*z^2)/a^16 - (48*z^2)/a^14 + (43*z^2)/a^12 + (11*z^2)/a^10 + 
   (6*z^4)/a^16 - (53*z^4)/a^14 + (71*z^4)/a^12 + (25*z^4)/a^10 + z^6/a^16 - 
   (22*z^6)/a^14 + (52*z^6)/a^12 + (22*z^6)/a^10 - (3*z^8)/a^14 + 
   (17*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 2299] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (21*z^2)/a^14 + (10*z^2)/a^12 + (19*z^2)/a^10 + 
   (3*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (15*z^4)/a^12 + (30*z^4)/a^10 + 
   (7*z^4)/a^8 - (3*z^6)/a^14 + (10*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 2300] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (3*z^2)/a^16 - (14*z^2)/a^14 + 
   (21*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + (8*z^4)/a^12 + 
   (29*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 2301] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (8*z^2)/a^14 - z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (3*z^4)/a^12 + (15*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 2302] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   (3*z^2)/a^16 - (11*z^2)/a^14 - (7*z^2)/a^12 + (25*z^2)/a^10 + 
   (3*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + (5*z^4)/a^12 + (32*z^4)/a^10 + 
   (7*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 2303] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (4*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   z^4/a^12 + (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 2304] -> 
  -5*a^6 + 15*a^8 - 9*a^10 - 25*a^6*z^2 + 75*a^8*z^2 - 35*a^10*z^2 - 
   41*a^6*z^4 + 128*a^8*z^4 - 47*a^10*z^4 - 29*a^6*z^6 + 107*a^8*z^6 - 
   30*a^10*z^6 - 9*a^6*z^8 + 48*a^8*z^8 - 9*a^10*z^8 - a^6*z^10 + 
   11*a^8*z^10 - a^10*z^10 + a^8*z^12, Knot[14, Alternating, 2305] -> 
  -a^4 - a^6 + 10*a^8 - 7*a^10 - 7*a^4*z^2 + 7*a^6*z^2 + 32*a^8*z^2 - 
   18*a^10*z^2 - 11*a^4*z^4 + 18*a^6*z^4 + 40*a^8*z^4 - 17*a^10*z^4 - 
   6*a^4*z^6 + 17*a^6*z^6 + 25*a^8*z^6 - 7*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   8*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 2306] -> -2*a^4 + 3*a^6 + 5*a^8 - 5*a^10 - 9*a^4*z^2 + 
   17*a^6*z^2 + 18*a^8*z^2 - 13*a^10*z^2 - 12*a^4*z^4 + 26*a^6*z^4 + 
   26*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 19*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 2307] -> -2*a^4 + 3*a^6 + 5*a^8 - 5*a^10 - 
   2*a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 + 11*a^8*z^2 - 8*a^10*z^2 - 3*a^2*z^4 + 
   a^4*z^4 + 18*a^6*z^4 + 10*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   10*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 2308] -> -3*a^4 + 7*a^6 - 3*a^10 - 10*a^4*z^2 + 
   21*a^6*z^2 + 13*a^8*z^2 - 12*a^10*z^2 - 12*a^4*z^4 + 27*a^6*z^4 + 
   25*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 19*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 2309] -> -a^2 + a^4 + 2*a^6 + 2*a^8 - 
   3*a^10 - 3*a^2*z^2 + 2*a^4*z^2 + 12*a^6*z^2 + 6*a^8*z^2 - 6*a^10*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 16*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 2310] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + 
   a^2 - 20*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (30*z^2)/a^2 + 5*a^2*z^2 - 
   29*z^4 + z^4/a^6 - (13*z^4)/a^4 + (34*z^4)/a^2 + 8*a^2*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 2311] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2312] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (31*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (35*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 - (3*z^6)/a^8 + (17*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2313] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + 2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2314] -> -3*a^4 + 7*a^6 - 3*a^10 - 2*a^2*z^2 - 
   2*a^4*z^2 + 17*a^6*z^2 + 5*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   17*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 2315] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 5*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2316] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 2317] -> 2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + 
   z^2/a^16 - (9*z^2)/a^14 + (6*z^2)/a^12 + (4*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^4)/a^14 + (6*z^4)/a^12 + (8*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 2318] -> -a^2 + 2*a^4 - 2*a^6 + 7*a^8 - 5*a^10 - 
   4*a^2*z^2 + 8*a^4*z^2 + 16*a^8*z^2 - 8*a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   4*a^6*z^4 + 14*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 2319] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2320] -> 
  -a^2 + a^4 + 2*a^6 + 2*a^8 - 3*a^10 - z^2 + 4*a^4*z^2 + 6*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 2321] -> -3 + a^(-8) - 4/a^6 + 3/a^4 + 3/a^2 + a^2 - 
   8*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 2322] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (7*z^2)/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (8*z^4)/a^8 + (8*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 2323] -> 
  3/a^14 - 11/a^12 + 9/a^10 + (2*z^2)/a^16 - (4*z^2)/a^14 - (17*z^2)/a^12 + 
   (27*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (9*z^4)/a^14 - (2*z^4)/a^12 + 
   (31*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 2324] -> a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 4/a^8 + 
   z^2/a^16 - (6*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^8 + (2*z^2)/a^6 - 
   (3*z^4)/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 2325] -> -4*a^4 + 11*a^6 - 5*a^8 - a^10 - 12*a^4*z^2 + 
   31*a^6*z^2 - a^8*z^2 - 7*a^10*z^2 - 13*a^4*z^4 + 35*a^6*z^4 + 11*a^8*z^4 - 
   9*a^10*z^4 - 6*a^4*z^6 + 21*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 2326] -> -2*a^2 + 5*a^4 - 3*a^6 + 4*a^8 - 3*a^10 - 
   5*a^2*z^2 + 12*a^4*z^2 - 2*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 - 4*a^2*z^4 + 
   11*a^4*z^4 + 2*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 2327] -> -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 
   33*z^2 - (2*z^2)/a^4 + (14*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 34*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2328] -> -4*a^4 + 11*a^6 - 5*a^8 - a^10 - a^2*z^2 - 
   8*a^4*z^2 + 29*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   29*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 2329] -> 
  -7 + 2/a^6 - 10/a^4 + 15/a^2 + a^2 - 24*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (37*z^2)/a^2 + 6*a^2*z^2 - 32*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (37*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + (17*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2330] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2331] -> 
  -2/a^12 + 9/a^10 - 15/a^8 + 9/a^6 - (3*z^2)/a^12 + (18*z^2)/a^10 - 
   (36*z^2)/a^8 + (28*z^2)/a^6 - (4*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - 
   (36*z^4)/a^8 + (34*z^4)/a^6 - (8*z^4)/a^4 + (3*z^6)/a^10 - (17*z^6)/a^8 + 
   (21*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, Alternating, 2332] -> -7 + 2/a^6 - 10/a^4 + 15/a^2 + 
   a^2 - 24*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (37*z^2)/a^2 + 6*a^2*z^2 - 
   32*z^4 + z^4/a^6 - (13*z^4)/a^4 + (37*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 2333] -> -4*a^4 + 11*a^6 - 5*a^8 - a^10 - 
   a^2*z^2 - 8*a^4*z^2 + 29*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 29*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 2334] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 
   2/a^2 - z^2 + (3*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 2335] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-10) - a^(-8) + 2/a^6 - (3*z^2)/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 2336] -> -1 + 2*a^2 - a^6 + 4*a^8 - 3*a^10 - 2*z^2 + 
   4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 - z^4 + 
   3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, Alternating, 2337] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (19*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (25*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2338] -> a^(-14) - 4/a^12 + 6/a^10 - 
   7/a^8 + 5/a^6 + z^2/a^14 - (9*z^2)/a^12 + (20*z^2)/a^10 - (19*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (22*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 2339] -> 
  -a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 5/a^2 - 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 2340] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (5*z^2)/a^14 - 
   (7*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   z^4/a^12 + (16*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 2341] -> 
  -3*a^4 + 7*a^6 - 3*a^10 - z^2 + a^4*z^2 + 12*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - z^4 + 5*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 2342] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2343] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2344] -> 
  2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 2345] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (3*z^2)/a^14 - z^2/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 2346] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (19*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2347] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 
   10/a^2 - 7*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (31*z^2)/a^4 + 
   (26*z^2)/a^2 - 8*z^4 - z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + 
   (29*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2348] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (23*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (22*z^4)/a^10 - (20*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2349] -> -4 - 2/a^6 + 5/a^4 - a^(-2) + 3*a^2 - 8*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2350] -> 
  -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 43*z^2 - (4*z^2)/a^4 + 
   (25*z^2)/a^2 + 29*a^2*z^2 - 7*a^4*z^2 - 41*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   34*a^2*z^4 - 9*a^4*z^4 - 18*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2351] -> 
  -4 - 2/a^8 + 9/a^6 - 17/a^4 + 15/a^2 - 10*z^2 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (40*z^2)/a^4 + (36*z^2)/a^2 - 10*z^4 - z^4/a^8 + 
   (13*z^4)/a^6 - (38*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (17*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2352] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + 2*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (13*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2353] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 2*z^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 2354] -> 3/a^14 - 10/a^12 + 8/a^10 - a^(-8) + a^(-6) + 
   (4*z^2)/a^14 - (24*z^2)/a^12 + (31*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + 
   z^4/a^14 - (16*z^4)/a^12 + (39*z^4)/a^10 - (18*z^4)/a^8 + (11*z^4)/a^6 - 
   (3*z^6)/a^12 + (19*z^6)/a^10 - (17*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, Alternating, 2355] -> 
  2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) + z^2/a^14 - (9*z^2)/a^12 + 
   (9*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^12 + 
   (10*z^4)/a^10 + (2*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2356] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) + 
   z^2/a^14 - (6*z^2)/a^12 + (2*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^4)/a^12 + (7*z^4)/a^10 + (5*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, Alternating, 2357] -> -4*a^4 + 11*a^6 - 5*a^8 - a^10 - 
   14*a^4*z^2 + 35*a^6*z^2 - 3*a^8*z^2 - 7*a^10*z^2 - 16*a^4*z^4 + 
   41*a^6*z^4 + 12*a^8*z^4 - 11*a^10*z^4 - 7*a^4*z^6 + 25*a^6*z^6 + 
   16*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 2358] -> 
  -a^2 + 6*a^6 - 3*a^8 - a^10 - 4*a^2*z^2 + 3*a^4*z^2 + 16*a^6*z^2 - 
   a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 18*a^6*z^4 + 4*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 2359] -> 
  -2*a^2 + 4*a^4 + a^6 - a^8 - a^10 - 5*a^2*z^2 + 8*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 3*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 15*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 2360] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2361] -> 
  -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 33*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (43*z^2)/a^2 + 9*a^2*z^2 - 37*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (39*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2362] -> -1 + a^(-8) - 5/a^6 + 7/a^4 - 2/a^2 + a^2 - 
   5*z^2 + z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 2363] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (20*z^2)/a^10 - (19*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (22*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 2364] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (25*z^2)/a^8 + (24*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (27*z^4)/a^6 - (3*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2365] -> -2*a^2 + 4*a^4 + a^6 - a^8 - a^10 - z^2 - 
   2*a^2*z^2 + 8*a^4*z^2 + 6*a^6*z^2 - 2*a^10*z^2 - z^4 + 7*a^4*z^4 + 
   7*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 2366] -> 2/a^14 - 8/a^12 + 11/a^10 - 
   9/a^8 + 5/a^6 + z^2/a^14 - (12*z^2)/a^12 + (27*z^2)/a^10 - (23*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (25*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 2367] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - (4*z^2)/a^12 + 
   (7*z^2)/a^10 + (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2368] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, Alternating, 2369] -> 3/a^14 - 11/a^12 + 9/a^10 + 
   z^2/a^16 - z^2/a^14 - (17*z^2)/a^12 + (23*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 - (4*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 2370] -> 5 - 2/a^8 + 7/a^6 - 8/a^4 + a^(-2) - 2*a^2 + 
   9*z^2 - z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2371] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 2372] -> a^(-14) - 3/a^12 + 2/a^10 - 
   2/a^8 + 3/a^6 - (3*z^2)/a^12 + (4*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + 
   z^2/a^2 + (3*z^4)/a^10 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[14, Alternating, 2373] -> 
  -1 + 2*a^2 - a^4 + 3*a^6 - a^8 - a^10 - 2*z^2 + 3*a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + 
   5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 2374] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 
   3/a^2 + z^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (24*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (27*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2375] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 
   10/a^2 - 5*z^2 - z^2/a^8 + (12*z^2)/a^6 - (30*z^2)/a^4 + (27*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (29*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (6*z^6)/a^4 + (15*z^6)/a^2 - a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[14, Alternating, 2376] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2377] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (23*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (22*z^4)/a^10 - (20*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2378] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (6*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2379] -> 
  -10 + a^(-6) - 7/a^4 + 14/a^2 + 3*a^2 - 31*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (33*z^2)/a^2 + 10*a^2*z^2 - 38*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (32*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2380] -> -a^2 + 6*a^6 - 3*a^8 - a^10 - 3*a^2*z^2 + 
   19*a^6*z^2 - 2*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 23*a^6*z^4 + 
   a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 2381] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (25*z^2)/a^8 + (24*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (27*z^4)/a^6 - (3*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2382] -> a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 4/a^4 + 
   3/a^2 + z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 + (6*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 2383] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2 + (4*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4 - (6*z^4)/a^8 + 
   (6*z^4)/a^6 + (6*z^4)/a^4 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 2384] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 
   2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 - 
   z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2, Knot[14, Alternating, 2385] -> 
  -4 - a^(-8) + 2/a^6 + a^(-2) + 3*a^2 - 6*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 - (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 2386] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2387] -> 1 + 2/a^10 - 9/a^8 + 13/a^6 - 7/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (28*z^2)/a^6 - 
   (14*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2388] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 - 
   (14*z^2)/a^8 + (26*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2389] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 
   20*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + (33*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2390] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   9*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (28*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2391] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 
   3/a^2 + z^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (24*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (27*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2392] -> -10 - a^(-6) + a^(-4) + 5/a^2 + 
   8*a^2 - 2*a^4 - 18*z^2 - z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2393] -> 3/a^10 - 12/a^8 + 14/a^6 - 5/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (21*z^2)/a^8 + (36*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (35*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 2394] -> 
  3/a^14 - 11/a^12 + 9/a^10 + z^2/a^16 - z^2/a^14 - (17*z^2)/a^12 + 
   (23*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - (4*z^4)/a^12 + 
   (21*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 2395] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 2396] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2397] -> a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 4/a^4 + 
   3/a^2 + z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 + (6*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 2398] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2399] -> 
  -8 - 2/a^6 + 5/a^4 + 8*a^2 - 2*a^4 - 12*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2400] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + 
   a^(-4) + a^(-2) + z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4 + (6*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, Alternating, 2401] -> 1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 + 
   2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, Alternating, 2402] -> a^(-14) - 2/a^12 - 2/a^10 + 
   3/a^8 + a^(-6) - (3*z^2)/a^12 + z^2/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + (3*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2403] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2404] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2405] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2 + (4*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4 - (6*z^4)/a^8 + 
   (6*z^4)/a^6 + (6*z^4)/a^4 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 2406] -> -16 - 3/a^4 + 11/a^2 + 13*a^2 - 4*a^4 - 
   40*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 33*a^2*z^2 - 9*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 36*a^2*z^4 - 9*a^4*z^4 - 18*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2407] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2408] -> 6 - 2/a^6 + 7/a^4 - 9/a^2 - a^2 + 9*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (16*z^2)/a^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2409] -> 
  4/a^10 - 16/a^8 + 19/a^6 - 7/a^4 + a^(-2) + (4*z^2)/a^10 - (28*z^2)/a^8 + 
   (48*z^2)/a^6 - (23*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (45*z^4)/a^6 - (30*z^4)/a^4 + (8*z^4)/a^2 - (3*z^6)/a^8 + (19*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2410] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - 
   a^(-2) + z^2 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2411] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-4) + a^(-2) + 
   z^2/a^12 - (10*z^2)/a^10 + (16*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - z^8/a^4, Knot[14, Alternating, 2412] -> 
  a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + a^(-2) + z^2 - (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 2413] -> 6 + a^(-4) - 4/a^2 - 2*a^2 - z^2 + 
   3*a^2*z^2 - a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 2414] -> 
  -9 + 3/a^6 - 14/a^4 + 20/a^2 + a^2 - 26*z^2 + (4*z^2)/a^6 - (26*z^2)/a^4 + 
   (47*z^2)/a^2 + 5*a^2*z^2 - 31*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (44*z^4)/a^2 + 8*a^2*z^4 - 20*z^6 - (3*z^6)/a^4 + (19*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2415] -> -5 + a^(-8) - 3/a^6 - a^(-4) + 8/a^2 + a^2 - 
   11*z^2 + z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 2416] -> -6*a^4 + 19*a^6 - 15*a^8 + 3*a^10 - 
   17*a^4*z^2 + 49*a^6*z^2 - 22*a^8*z^2 - a^10*z^2 - 17*a^4*z^4 + 
   50*a^6*z^4 - 3*a^8*z^4 - 7*a^10*z^4 - 7*a^4*z^6 + 27*a^6*z^6 + 
   10*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 2417] -> 
  -2*a^2 + 3*a^4 + 5*a^6 - 6*a^8 + a^10 - 5*a^2*z^2 + 7*a^4*z^2 + 
   14*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 16*a^6*z^4 + 
   a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 2418] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2419] -> -3*a^2 + 8*a^4 - 4*a^6 + a^8 - a^10 - 
   7*a^2*z^2 + 17*a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 - 5*a^2*z^4 + 
   14*a^4*z^4 + 3*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 2420] -> -1 + a^2 + 3*a^4 - 2*a^6 + a^8 - a^10 - 
   2*z^2 + 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - z^4 + 
   2*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 2421] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (19*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2422] -> 2/a^14 - 8/a^12 + 11/a^10 - 9/a^8 + 5/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (27*z^2)/a^10 - (23*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (25*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 2423] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2424] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   5*z^2 - z^2/a^8 + (12*z^2)/a^6 - (30*z^2)/a^4 + (27*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (29*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (6*z^6)/a^4 + (15*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[14, Alternating, 2425] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 
   2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 - 
   z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2, Knot[14, Alternating, 2426] -> 
  -10 - a^(-6) + a^(-4) + 5/a^2 + 8*a^2 - 2*a^4 - 18*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2427] -> 
  -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 28*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (30*z^2)/a^2 + 8*a^2*z^2 - 30*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2428] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4 + (6*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, Alternating, 2429] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 
   2/a^4 - (4*z^2)/a^12 + (7*z^2)/a^10 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2430] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 2431] -> 
  -a^2 - a^4 + 10*a^6 - 8*a^8 + a^10 - 3*a^2*z^2 - 2*a^4*z^2 + 27*a^6*z^2 - 
   12*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 28*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 2432] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + z^2 + (4*z^2)/a^8 - 
   (11*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (6*z^4)/a^6 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, Alternating, 2433] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2434] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 2435] -> 
  2/a^14 - 8/a^12 + 11/a^10 - 8/a^8 + 3/a^6 + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (26*z^2)/a^10 - (20*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (22*z^4)/a^10 - (22*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2436] -> -9 + 3/a^6 - 14/a^4 + 20/a^2 + a^2 - 26*z^2 + 
   (4*z^2)/a^6 - (26*z^2)/a^4 + (47*z^2)/a^2 + 5*a^2*z^2 - 31*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (44*z^4)/a^2 + 8*a^2*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (19*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2437] -> -5 + a^(-8) - 3/a^6 - a^(-4) + 8/a^2 + a^2 - 
   11*z^2 + z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 2438] -> -21 + 4/a^6 - 20/a^4 + 33/a^2 + 5*a^2 - 
   47*z^2 + (4*z^2)/a^6 - (30*z^2)/a^4 + (64*z^2)/a^2 + 12*a^2*z^2 - 44*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (50*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (19*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 2439] -> -1 + 2/a^8 - 9/a^6 + 12/a^4 - 4/a^2 + 
   a^2 - 4*z^2 + z^2/a^8 - (10*z^2)/a^6 + (21*z^2)/a^4 - (9*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 2440] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (31*z^2)/a^4 + (26*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2441] -> 
  3/a^10 - 12/a^8 + 14/a^6 - 5/a^4 + a^(-2) + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (36*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (35*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2442] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (16*z^4)/a^6 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2443] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 + a^2 - 3*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 2444] -> -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 
   43*z^2 - (4*z^2)/a^4 + (25*z^2)/a^2 + 29*a^2*z^2 - 7*a^4*z^2 - 41*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 34*a^2*z^4 - 9*a^4*z^4 - 18*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2445] -> -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 
   33*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (43*z^2)/a^2 + 9*a^2*z^2 - 37*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (39*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 2446] -> -4 - 2/a^8 + 9/a^6 - 17/a^4 + 
   15/a^2 - 10*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (40*z^2)/a^4 + 
   (36*z^2)/a^2 - 10*z^4 - z^4/a^8 + (13*z^4)/a^6 - (38*z^4)/a^4 + 
   (38*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (17*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2447] -> 
  4/a^10 - 16/a^8 + 19/a^6 - 7/a^4 + a^(-2) + (4*z^2)/a^10 - (28*z^2)/a^8 + 
   (48*z^2)/a^6 - (23*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (45*z^4)/a^6 - (30*z^4)/a^4 + (8*z^4)/a^2 - (3*z^6)/a^8 + (19*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2448] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - 
   a^(-2) + z^2 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2449] -> -6*a^4 + 19*a^6 - 15*a^8 + 3*a^10 - 
   17*a^4*z^2 + 49*a^6*z^2 - 22*a^8*z^2 - a^10*z^2 - 17*a^4*z^4 + 
   50*a^6*z^4 - 3*a^8*z^4 - 7*a^10*z^4 - 7*a^4*z^6 + 27*a^6*z^6 + 
   10*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 2450] -> 
  -2*a^2 + 3*a^4 + 5*a^6 - 6*a^8 + a^10 - 5*a^2*z^2 + 7*a^4*z^2 + 
   14*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 16*a^6*z^4 + 
   a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 2451] -> 
  -8 - 2/a^6 + 5/a^4 + 8*a^2 - 2*a^4 - 12*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2452] -> -1 + 2/a^8 - 9/a^6 + 12/a^4 - 
   4/a^2 + a^2 - 4*z^2 + z^2/a^8 - (10*z^2)/a^6 + (21*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 2453] -> 
  5 - 2/a^8 + 7/a^6 - 8/a^4 + a^(-2) - 2*a^2 + 9*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2454] -> -4*a^2 + 12*a^4 - 9*a^6 + 3*a^8 - a^10 - 
   8*a^2*z^2 + 22*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - 5*a^2*z^4 + 
   16*a^4*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 6*a^4*z^6 + 3*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 2455] -> -21 + 4/a^6 - 20/a^4 + 33/a^2 + 5*a^2 - 
   47*z^2 + (4*z^2)/a^6 - (30*z^2)/a^4 + (64*z^2)/a^2 + 12*a^2*z^2 - 44*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (50*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (19*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 2456] -> -21 + 4/a^6 - 20/a^4 + 33/a^2 + 
   5*a^2 - 47*z^2 + (4*z^2)/a^6 - (30*z^2)/a^4 + (64*z^2)/a^2 + 12*a^2*z^2 - 
   44*z^4 + z^4/a^6 - (16*z^4)/a^4 + (50*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (19*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 2457] -> -8*a^4 + 28*a^6 - 29*a^8 + 12*a^10 - 
   2*a^12 - 20*a^4*z^2 + 64*a^6*z^2 - 45*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   18*a^4*z^4 + 59*a^6*z^4 - 19*a^8*z^4 - 2*a^10*z^4 - 7*a^4*z^6 + 
   29*a^6*z^6 + 4*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 5*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 2458] -> 
  -2 + 5*a^2 - 2*a^4 + a^8 - a^10 - 3*z^2 + 7*a^2*z^2 + a^6*z^2 + 3*a^8*z^2 - 
   2*a^10*z^2 - z^4 + 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 2459] -> 2 - a^(-2) + a^8 - a^10 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + z^4 + a^2*z^4 + 
   a^4*z^4 + a^6*z^4 + a^8*z^4, Knot[14, Alternating, 2460] -> 
  5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 10*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 2461] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 3*z^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - 
   (14*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (12*z^4)/a^8 + (19*z^4)/a^6 - 
   (9*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2462] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (21*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (21*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2463] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 2464] -> 
  -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 12*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (20*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2465] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 2466] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + 4*a^2*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 2467] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 
   7*a^2*z^2 - 18*a^4*z^2 + 25*a^6*z^2 - 18*a^8*z^2 + 6*a^10*z^2 + 
   5*a^2*z^4 - 23*a^4*z^4 + 29*a^6*z^4 - 23*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   12*a^4*z^6 + 19*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 2468] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 17*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 
   21*a^4*z^2 + 7*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 25*a^4*z^4 + 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2469] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   7*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2470] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 23*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + 
   (25*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (31*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2471] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 4*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2472] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 4*z^2 + 
   16*a^2*z^2 - 24*a^4*z^2 + 23*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   31*a^4*z^4 + 25*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2473] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   5*a^2*z^4 + a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 2474] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 24*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 30*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 25*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2475] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2476] -> 2 - 2*a^2 + a^4 + 3*z^2 - 5*a^2*z^2 + 
   a^4*z^2 - 2*a^8*z^2 + 2*a^10*z^2 + z^4 - 6*a^2*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 2477] -> 3 + a^(-8) - 3/a^6 + 5/a^4 - 
   5/a^2 + 7*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (11*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + (6*z^4)/a^4 - (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, Alternating, 2478] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 2479] -> -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + 
   a^8 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 - 8*z^4 + z^4/a^2 + 6*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 
   4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 2480] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2481] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2482] -> 
  4 + a^(-4) - 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   11*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 2483] -> 4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 2484] -> 
  -4 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + a^2 + a^4 - 8*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 2485] -> 3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2486] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   6*a^2*z^4 - 2*a^4*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2487] -> 
  2 - 2*a^2 + a^4 + z^2 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   a^10*z^2 - 2*z^4 - 3*a^2*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 2488] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2489] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 7*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2490] -> 
  -1 - 3/a^8 + 9/a^6 - 11/a^4 + 7/a^2 + 2*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (26*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (23*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2491] -> -1 - 3/a^8 + 9/a^6 - 11/a^4 + 7/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (12*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2492] -> -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 
   5*z^2 + 20*a^2*z^2 - 29*a^4*z^2 + 27*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 
   22*a^2*z^4 - 34*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 2493] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2494] -> 
  -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 27*z^2 + (5*z^2)/a^6 - 
   (19*z^2)/a^4 + (30*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2495] -> 
  -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 5*z^2 + 20*a^2*z^2 - 29*a^4*z^2 + 
   27*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 34*a^4*z^4 + 27*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2496] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^2 - a^4 + 
   a^6 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 2497] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2498] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 2499] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 2500] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 + z^4/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2501] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + a^10*z^2 - 2*z^4 - a^2*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 2502] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 
   5*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 2503] -> 
  a^(-4) - a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 2504] -> 2 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 - a^2 + 
   a^4 + 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 2505] -> 4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 2506] -> 
  2 - 3*a^2 + 2*a^4 + 2*a^6 - 3*a^8 + a^10 + 3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2507] -> 
  -6 + 3/a^2 + 7*a^2 - 4*a^4 + a^8 - 17*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   11*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 14*z^4 + z^4/a^2 + 21*a^2*z^4 - 
   6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 3*z^6 + 11*a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 2508] -> 
  -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 2509] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   8*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 2510] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2511] -> -1 - 3/a^8 + 7/a^6 - 7/a^4 + 5/a^2 - 6*z^2 - 
   (7*z^2)/a^8 + (21*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - 
   (5*z^4)/a^8 + (24*z^4)/a^6 - (28*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + 
   (12*z^6)/a^6 - (19*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2512] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2513] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2514] -> 4 - a^(-2) - 5*a^2 + 4*a^4 - a^8 + 
   8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 7*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2515] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*z^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 6*a^2*z^4 + 2*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2516] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 
   3*a^4*z^2 - 4*a^6*z^2 + a^10*z^2 - 2*z^4 - a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 2517] -> a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + a^(-6) + 
   2/a^4 - (5*z^2)/a^12 + (16*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^4 + 
   z^2/a^2 + (9*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2518] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2519] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + a^8*z^2 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 2520] -> 
  -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (2*z^4)/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 2521] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 2522] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 2523] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 + z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2524] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 2525] -> -1 + a^(-2) + a^2 - a^4 + 3*a^6 - 3*a^8 + 
   a^10 - 2*z^2 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 2526] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 2527] -> a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + a^(-6) + 
   2/a^4 - (5*z^2)/a^12 + (16*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^4 + 
   z^2/a^2 + (9*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2528] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2529] -> -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 
   27*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 28*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2530] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 2531] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + 2*a^4*z^2 - 2*a^6*z^2 + 
   a^10*z^2 - 2*z^4 - a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 2532] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 2533] -> 
  5 + 2/a^4 - 4/a^2 - 3*a^2 + a^4 - a^6 + a^8 + 9*z^2 + z^2/a^4 - 
   (8*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 9*z^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2534] -> 
  2 - 5*a^2 + 8*a^4 - 6*a^6 + 3*a^8 - a^10 + 3*z^2 - 9*a^2*z^2 + 13*a^4*z^2 - 
   8*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + z^4 - 7*a^2*z^4 + 7*a^4*z^4 - 
   4*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2535] -> 
  -15 - 4/a^4 + 12/a^2 + 12*a^2 - 4*a^4 - 36*z^2 - (8*z^2)/a^4 + 
   (28*z^2)/a^2 + 28*a^2*z^2 - 8*a^4*z^2 - 36*z^4 - (5*z^4)/a^4 + 
   (27*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + (12*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2536] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   7*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (7*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2537] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2538] -> -9 + 4/a^2 + 11*a^2 - 7*a^4 + a^6 + a^8 - 
   20*z^2 + (4*z^2)/a^2 + 25*a^2*z^2 - 14*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 
   14*z^4 + z^4/a^2 + 23*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 2539] -> 2 + 2/a^4 - 3/a^2 + a^2 - 2*a^4 + a^8 + 
   3*z^2 + z^2/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 
   2*z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 2540] -> 
  3 - 2/a^6 + 5/a^4 - 5/a^2 + a^2 - a^4 + 4*z^2 - (3*z^2)/a^6 + 
   (10*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4/a^6 + 
   (8*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 2541] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 2542] -> 
  1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + 2*z^2 + a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 
   5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2543] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 2544] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 
   2*a^6 + a^8 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 2545] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   6*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2546] -> 
  8 + 2/a^4 - 5/a^2 - 7*a^2 + 4*a^4 - 2*a^6 + a^8 + 12*z^2 + z^2/a^4 - 
   (8*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 9*z^4 - 
   (3*z^4)/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2547] -> 
  2/a^14 - 9/a^12 + 15/a^10 - 13/a^8 + 5/a^6 + a^(-4) + z^2/a^14 - 
   (13*z^2)/a^12 + (34*z^2)/a^10 - (32*z^2)/a^8 + (11*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^4)/a^12 + (26*z^4)/a^10 - (32*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^6)/a^10 - (16*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 2548] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - (4*z^2)/a^12 + 
   (10*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2549] -> 
  -3 + 11*a^2 - 15*a^4 + 13*a^6 - 5*a^8 - 7*z^2 + 27*a^2*z^2 - 36*a^4*z^2 + 
   30*a^6*z^2 - 8*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 37*a^4*z^4 + 27*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2550] -> 2 - a^(-2) + a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2551] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 + z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2552] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^2 - a^6 + a^8 - 4*z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + a^4*z^2 - 3*a^6*z^2 + (3*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, Alternating, 2553] -> 
  7 - 2/a^2 - 9*a^2 + 7*a^4 - a^6 - a^8 + 12*z^2 - (3*z^2)/a^2 - 15*a^2*z^2 + 
   9*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 8*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2554] -> 
  -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 27*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 28*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2555] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^4 - a^6 + 
   a^8 + z^2 - (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, Alternating, 2556] -> -1 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   2*a^4 + a^8 - z^2 - (3*z^2)/a^4 + a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 2557] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*z^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 6*a^2*z^4 + 2*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2558] -> 
  8 + 2/a^4 - 5/a^2 - 7*a^2 + 4*a^4 - 2*a^6 + a^8 + 12*z^2 + z^2/a^4 - 
   (8*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 9*z^4 - 
   (3*z^4)/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 2559] -> 
  -15 - 4/a^4 + 12/a^2 + 12*a^2 - 4*a^4 - 36*z^2 - (8*z^2)/a^4 + 
   (28*z^2)/a^2 + 28*a^2*z^2 - 8*a^4*z^2 - 36*z^4 - (5*z^4)/a^4 + 
   (27*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + (12*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2560] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   7*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (7*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2561] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2562] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^2 - a^4 + a^6 - 3*z^2 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 2563] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2564] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2565] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2566] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2567] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2568] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2569] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2570] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2571] -> 
  a^4 + 2*a^6 - 5*a^8 + 6*a^10 - 3*a^12 + 3*a^4*z^2 + 9*a^6*z^2 - 
   17*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 - 2*a^4*z^4 + 15*a^6*z^4 - 
   26*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 13*a^6*z^6 - 
   16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 2572] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 
   a^2*z^2 + 4*a^4*z^2 - 4*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2573] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2574] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 
   27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2575] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (9*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 2576] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2577] -> 3*a^4 - 4*a^6 + 3*a^8 - a^12 + 8*a^4*z^2 - 
   8*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   6*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2578] -> 
  a^2 + a^10 - a^12 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 
   z^4 + a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 2579] -> -3 - a^(-6) + 4/a^2 + a^2 - 
   13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2580] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2581] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2582] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2583] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 6*a^2*z^2 - 15*a^4*z^2 + 14*a^6*z^2 - 
   3*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 14*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2584] -> 
  2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 3*a^4*z^2 + 8*a^6*z^2 - 16*a^8*z^2 + 
   14*a^10*z^2 - 3*a^12*z^2 - 3*a^4*z^4 + 16*a^6*z^4 - 25*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 2585] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 5*z^2 - 
   z^2/a^2 - 6*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2586] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 7*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 2587] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   3*a^2*z^2 - 8*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2588] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 5*a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2589] -> 
  a^2 + a^6 - 3*a^8 + 4*a^10 - 2*a^12 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   7*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 9*a^8*z^4 + 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 2590] -> a^2 + a^4 - 2*a^6 + a^8 + a^10 - 
   a^12 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*a^10*z^2 - z^4 + a^4*z^4 - 
   3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 2591] -> a^2 + a^4 - a^6 + z^2 - a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   2*z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2592] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 
   2*a^4 - 16*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2593] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2594] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2595] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 13*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2596] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2597] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 13*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2598] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   10*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + 
   (5*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2599] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 2600] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 9*a^2*z^2 - 19*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2601] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 6*a^4*z^2 + 17*a^6*z^2 - 
   11*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 24*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2602] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2603] -> -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 
   2*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2604] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 2605] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2606] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 8*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2607] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 10*z^2 + z^2/a^4 + z^2/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2608] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2609] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2610] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   4*a^4*z^2 + 3*a^6*z^2 - 11*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 - 
   2*a^4*z^4 + 13*a^6*z^4 - 22*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   13*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 2611] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 + a^2*z^2 + 2*a^4*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2612] -> 
  2 - a^(-2) + a^2 - a^4 - 3*z^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 14*z^6 + 
   (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2613] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 2614] -> 
  2*a^4 - a^8 + a^2*z^2 - 2*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 
   4*a^2*z^4 - 14*a^4*z^4 + 21*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   14*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 2615] -> a^2 + a^6 - a^8 + a^2*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2616] -> a^(-2) - a^2 + 2*a^6 - a^8 + z^2 - 
   2*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2617] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 2618] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 7*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2619] -> 
  1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2620] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 2621] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^2 + 6*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 2622] -> 
  2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2623] -> 
  4 - 2/a^2 - a^4 - 3*z^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + 
   (5*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2624] -> 1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2625] -> 
  4*a^4 - 4*a^6 + 2*a^10 - a^12 + 4*a^4*z^2 + 3*a^6*z^2 - 13*a^8*z^2 + 
   12*a^10*z^2 - 3*a^12*z^2 - 3*a^4*z^4 + 15*a^6*z^4 - 24*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 2626] -> 4 - 2/a^2 - a^4 - 3*z^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2627] -> 
  1 - a^8 + 2*a^10 - a^12 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 
   3*a^10*z^2 - z^4 + a^2*z^4 - a^4*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 2628] -> a^2 + a^6 - a^8 + 2*a^2*z^2 - 
   4*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2629] -> -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2630] -> -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2631] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2632] -> 4 + 2/a^10 - 7/a^8 + 10/a^6 - 4/a^4 - 4/a^2 + 
   4*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (19*z^2)/a^6 - (6*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + (17*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2633] -> 
  1 + 2/a^10 - 7/a^8 + 11/a^6 - 9/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (24*z^2)/a^6 - (16*z^2)/a^4 + z^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2634] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2635] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   10*a^2*z^2 - 22*a^4*z^2 + 21*a^6*z^2 - 15*a^8*z^2 + 6*a^10*z^2 + 
   6*a^2*z^4 - 27*a^4*z^4 + 25*a^6*z^4 - 22*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   13*a^4*z^6 + 18*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 2636] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   6*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 + z^4 - 6*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2637] -> 
  2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 3*z^2 - 5*a^2*z^2 + 2*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 + z^4 - 6*a^2*z^4 + a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 2638] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + 
   a^10 + z^2 + z^2/a^2 - 4*a^2*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   2*z^4 - 3*a^2*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 2639] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 
   a^10 - 2*z^2 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 2640] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2641] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 4*z^2 + 
   z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2642] -> 6*a^2 - 13*a^4 + 15*a^6 - 10*a^8 + 3*a^10 + 
   11*a^2*z^2 - 31*a^4*z^2 + 35*a^6*z^2 - 24*a^8*z^2 + 7*a^10*z^2 + 
   6*a^2*z^4 - 30*a^4*z^4 + 34*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   13*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 2643] -> 
  2 - a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 2*a^10 + 3*z^2 - 5*a^2*z^2 - 3*a^4*z^2 + 
   8*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 6*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2644] -> 
  3 - 5*a^2 + 5*a^4 - 2*a^6 - a^8 + a^10 + 4*z^2 - 11*a^2*z^2 + 9*a^4*z^2 - 
   3*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 + z^4 - 9*a^2*z^4 + 6*a^4*z^4 - 
   7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2645] -> 
  a^(-2) - a^2 + 2*a^4 - a^6 - a^8 + a^10 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*z^4 - a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 2646] -> 1 + 2*a^2 - 6*a^4 + 8*a^6 - 6*a^8 + 2*a^10 + 
   2*z^2 + a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   3*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2647] -> 
  6*a^2 - 13*a^4 + 15*a^6 - 10*a^8 + 3*a^10 + 11*a^2*z^2 - 31*a^4*z^2 + 
   35*a^6*z^2 - 24*a^8*z^2 + 7*a^10*z^2 + 6*a^2*z^4 - 30*a^4*z^4 + 
   34*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 13*a^4*z^6 + 20*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 2648] -> 2 - a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 2*a^10 + 
   3*z^2 - 5*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 
   6*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 2649] -> 4 - 8*a^2 + 9*a^4 - 5*a^6 + a^10 + 4*z^2 - 
   14*a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   9*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   4*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 2650] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^8 + a^10 - 
   5*z^2 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   2*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 2651] -> 1 + a^(-4) - a^(-2) - a^8 + a^10 - 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 2*a^8*z^2 + z^4 + a^2*z^4 + a^4*z^4 + 
   a^6*z^4, Knot[14, Alternating, 2652] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 2*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2653] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2654] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - 6*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - 7*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2655] -> a^(-14) - 6/a^12 + 11/a^10 - 9/a^8 + 2/a^6 + 
   2/a^4 - (7*z^2)/a^12 + (23*z^2)/a^10 - (21*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 + (15*z^4)/a^10 - (22*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 + z^6/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 2656] -> 
  -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + a^(-4) + a^(-2) - z^2/a^12 + 
   (4*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2657] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 7*z^2 + z^2/a^2 + 5*a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 2658] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   3*a^4 - 2*a^6 + a^8 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 10*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2659] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2660] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 - 
   (3*z^2)/a^2 + a^2*z^2 - 3*a^6*z^2 + z^4/a^4 + 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 2661] -> 
  -1 + 6*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 3*z^2 + 17*a^2*z^2 - 27*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 31*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2662] -> 
  4 - a^(-2) - 4*a^2 + a^4 + 3*a^6 - 2*a^8 + 8*z^2 - (2*z^2)/a^2 - 
   6*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2663] -> 
  1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2664] -> 1 - a^4 + 2*a^6 - a^8 + 
   4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2665] -> a^2 + a^6 - a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2666] -> 5 + 2/a^4 - 4/a^2 - 3*a^2 + a^6 + 8*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + 
   z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 2667] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2668] -> 
  -3/a^12 + 7/a^10 - 7/a^8 + 3/a^6 + a^(-4) - (4*z^2)/a^12 + (18*z^2)/a^10 - 
   (19*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + (12*z^4)/a^10 - 
   (23*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2669] -> -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^12 + 
   (7*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2670] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   10*a^2*z^2 - 25*a^4*z^2 + 24*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 
   9*a^2*z^4 - 34*a^4*z^4 + 29*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   21*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 2671] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + 
   a^10 + 3*z^2 - 3*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   2*z^4 - 6*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2672] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + (2*z^2)/a^8 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - z^4/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2673] -> 5*a^2 - 10*a^4 + 11*a^6 - 7*a^8 + 2*a^10 + 
   10*a^2*z^2 - 29*a^4*z^2 + 31*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 
   10*a^2*z^4 - 36*a^4*z^4 + 33*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   22*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 2674] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + 
   a^10 + 3*z^2 - 7*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2675] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + z^4/a^2 - a^4*z^4 + 
   3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, Alternating, 2676] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2677] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2678] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2679] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2680] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2681] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - 
   a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2682] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 4*z^2 + z^2/a^2 + 4*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2683] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   5*z^2 + 4*a^2*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 + 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 2684] -> 
  a^(-14) - 6/a^12 + 11/a^10 - 9/a^8 + 2/a^6 + 2/a^4 - (7*z^2)/a^12 + 
   (23*z^2)/a^10 - (21*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + (15*z^4)/a^10 - 
   (22*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 + z^6/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2685] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2686] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 10*a^2*z^2 - 26*a^4*z^2 + 
   25*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 10*a^2*z^4 - 35*a^4*z^4 + 
   29*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 22*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2687] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   3*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   3*z^4 - 7*a^2*z^4 - 5*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2688] -> 
  2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 2689] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2690] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2691] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2692] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 2693] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 9*z^2 - z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   15*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2694] -> 
  3 - a^(-2) - a^2 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2695] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 5*a^2*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 2696] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2697] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2698] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - (16*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 2699] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + 
   5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2700] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 + 2*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2701] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2702] -> -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (25*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2703] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + z^2 - 
   z^2/a^2 - a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 2704] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + z^2 + z^2/a^4 - z^2/a^2 - 7*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2705] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 5*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2706] -> 
  2 - 2*a^2 + a^4 + 3*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   15*a^2*z^4 - 20*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2707] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2708] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 23*z^2 + (5*z^2)/a^6 - 
   (22*z^2)/a^4 + (34*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + (8*z^4)/a^6 - 
   (30*z^4)/a^4 + (38*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - 
   (20*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2709] -> a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 
   2*a^4 + 5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 9*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2710] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + (5*z^4)/a^2 + 
   27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2711] -> -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 
   20*z^2 + (7*z^2)/a^6 - (24*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (5*z^4)/a^6 - (26*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2712] -> 
  -4 + a^(-8) - 3/a^6 + 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^8 - 
   (8*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 2713] -> 5*a^2 - 11*a^4 + 11*a^6 - 4*a^8 - 4*z^2 + 
   21*a^2*z^2 - 35*a^4*z^2 + 24*a^6*z^2 - 4*a^8*z^2 - 8*z^4 + 29*a^2*z^4 - 
   39*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 5*z^6 + 20*a^2*z^6 - 18*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2714] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2715] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - (5*z^4)/a^4 + (20*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2716] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 15*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + (5*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2717] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - (5*z^4)/a^4 + (20*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2718] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 17*z^2 + (4*z^2)/a^2 + 26*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2719] -> 
  -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 2720] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   z^2 - a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2721] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2722] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   z^2 + 8*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   17*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2723] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2724] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2725] -> 
  -10 - 5/a^4 + 13/a^2 + 3*a^2 - 26*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (36*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (40*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2726] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2727] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   19*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2728] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (30*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - 
   (37*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2729] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 
   4*a^2 - 22*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 + (7*z^4)/a^6 - (26*z^4)/a^4 + (36*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2730] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 21*z^2 + (5*z^2)/a^2 + 29*a^2*z^2 - 
   17*a^4*z^2 + 3*a^6*z^2 - 29*z^4 + (8*z^4)/a^2 + 34*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 20*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2731] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 30*z^2 - (5*z^2)/a^4 + 
   (20*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 34*z^4 - (8*z^4)/a^4 + 
   (29*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + 
   (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2732] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 2733] -> 
  1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 2734] -> 
  -2 + a^(-6) - 3/a^4 + 5/a^2 - 2*a^2 + 2*a^4 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2735] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (4*z^2)/a^10 - (15*z^2)/a^8 + 
   (26*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (31*z^4)/a^6 - (25*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 2736] -> 
  4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 - 2*z^2 + 16*a^2*z^2 - 30*a^4*z^2 + 
   23*a^6*z^2 - 4*a^8*z^2 - 7*z^4 + 25*a^2*z^4 - 37*a^4*z^4 + 15*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 19*a^2*z^6 - 18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2737] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   3*z^4 - (2*z^4)/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2738] -> 
  -17 - 2/a^4 + 10/a^2 + 14*a^2 - 4*a^4 - 43*z^2 - (7*z^2)/a^4 + 
   (29*z^2)/a^2 + 25*a^2*z^2 - 4*a^4*z^2 - 41*z^4 - (9*z^4)/a^4 + 
   (34*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 18*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2739] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + 3*z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 2740] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2741] -> 
  6*a^2 - 12*a^4 + 10*a^6 - 3*a^8 - 5*z^2 + 23*a^2*z^2 - 36*a^4*z^2 + 
   21*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 31*a^2*z^4 - 38*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2742] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 
   6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2743] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   19*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 28*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2744] -> 2 + a^(-4) - 2/a^2 + 6*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2745] -> 2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2746] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2747] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2748] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 
   21*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2749] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2750] -> 
  a^2 + a^4 - a^6 + 3*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2751] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (22*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2752] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 23*z^2 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (31*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (37*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2753] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2754] -> 
  6*a^2 - 11*a^4 + 8*a^6 - 2*a^8 - 3*z^2 + 17*a^2*z^2 - 31*a^4*z^2 + 
   20*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 36*a^4*z^4 + 21*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2755] -> 2 - 4*a^4 + 4*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2756] -> 
  4 - 6*a^2 + 3*a^4 + 7*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2757] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 
   (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 2758] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - z^2/a^12 + 
   (11*z^2)/a^10 - (21*z^2)/a^8 + (17*z^2)/a^6 + (6*z^4)/a^12 - 
   (24*z^4)/a^8 + (17*z^4)/a^6 + (5*z^6)/a^12 - (10*z^6)/a^10 - 
   (18*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[14, Alternating, 2759] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2760] -> a^(-14) - 6/a^12 + 13/a^10 - 15/a^8 + 8/a^6 + 
   z^2/a^14 - (8*z^2)/a^12 + (25*z^2)/a^10 - (33*z^2)/a^8 + (20*z^2)/a^6 + 
   z^4/a^12 + (13*z^4)/a^10 - (33*z^4)/a^8 + (18*z^4)/a^6 + (4*z^6)/a^12 - 
   (4*z^6)/a^10 - (20*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 2761] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 + (10*z^2)/a^8 - (11*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^4)/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 2762] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + (2*z^2)/a^12 - (3*z^2)/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, Alternating, 2763] -> 
  6*a^2 - 11*a^4 + 8*a^6 - 2*a^8 - 4*z^2 + 19*a^2*z^2 - 31*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 28*a^2*z^4 - 35*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 20*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2764] -> 
  2 - 4*a^4 + 4*a^6 - a^8 + 2*z^2 - z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2765] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 21*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (7*z^4)/a^6 - (26*z^4)/a^4 + (36*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2766] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2767] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2768] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 2769] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2770] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2771] -> -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2772] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2773] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2774] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2775] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2776] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2777] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 23*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2778] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2779] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 
   2*a^6 - 17*z^2 + (4*z^2)/a^2 + 26*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   23*z^4 + (6*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 16*z^6 + 
   (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2780] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2781] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2782] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + 
   a^6 - 19*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2783] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2784] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 - a^4*z^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 2785] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (5*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2786] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   3*z^2 - z^2/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2787] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 2788] -> 
  2 + a^(-4) - 2/a^2 - 8*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2789] -> 2 + a^(-4) - 2/a^2 - z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2790] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 + a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2791] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2792] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 + 
   a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2793] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2794] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (5*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2795] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^12 - (7*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2796] -> a^(-12) - 2/a^10 + a^(-6) + a^(-2) + 
   z^2/a^12 - (2*z^2)/a^10 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2797] -> 
  3 - 2/a^4 + a^(-2) + a^2 - 2*a^4 + 11*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 14*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 2798] -> 
  a^(-16) + a^(-14) - 8/a^12 + 5/a^10 + 2/a^8 + (3*z^2)/a^16 - (7*z^2)/a^14 - 
   (13*z^2)/a^12 + (19*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 - 
   z^4/a^12 + (26*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 2799] -> a^(-16) - a^(-14) - 2/a^12 + 2/a^8 + a^(-6) + 
   z^2/a^16 - (4*z^2)/a^14 - (4*z^2)/a^12 + (5*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^4)/a^14 + z^4/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 2800] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2801] -> 
  2/a^16 - 2/a^14 - 6/a^12 + 6/a^10 + a^(-8) + (3*z^2)/a^16 - (10*z^2)/a^14 - 
   (10*z^2)/a^12 + (22*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (2*z^4)/a^12 + (29*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 2802] -> a^(-16) - 5/a^12 + 2/a^10 + 3/a^8 + 
   z^2/a^16 - (4*z^2)/a^14 - (7*z^2)/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (12*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 2803] -> 4 - 4/a^2 + 6*a^2 - 5*a^4 + 17*z^2 - 
   (13*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 26*z^4 - (13*z^4)/a^2 + 
   26*a^2*z^4 - 13*a^4*z^4 + 19*z^6 - (6*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 
   7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 2804] -> 5 - a^(-4) - 2/a^2 + 2*a^2 - 3*a^4 + 14*z^2 - 
   (4*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 17*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 2805] -> 6 - 2/a^4 - 2*a^2 - a^4 + 14*z^2 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 16*z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 2806] -> 2 - a^(-6) + a^(-2) - a^4 + 4*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 2807] -> 
  a^(-2) - a^2 + a^4 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2808] -> -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 2809] -> a^(-16) + a^(-14) - 8/a^12 + 
   5/a^10 + 2/a^8 + (3*z^2)/a^16 - (7*z^2)/a^14 - (13*z^2)/a^12 + 
   (19*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 - z^4/a^12 + 
   (26*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 2810] -> a^(-2) - a^2 + a^4 + 3*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2811] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 
   4*a^4 - 32*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 29*a^2*z^2 - 8*a^4*z^2 - 
   37*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2812] -> 
  -4 - a^(-4) + 4/a^2 + 4*a^4 - 2*a^6 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 7*z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 2813] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   20*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   19*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 2814] -> 
  2 - 4*a^4 + 4*a^6 - a^8 + 2*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 2815] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 34*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 
   26*a^2*z^2 - 7*a^4*z^2 - 36*z^4 - z^4/a^4 + (13*z^4)/a^2 + 33*a^2*z^4 - 
   9*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2816] -> 
  -3 - a^(-6) + 3/a^4 - a^(-2) + 4*a^2 - a^4 - 4*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2817] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 5*z^2 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (36*z^2)/a^4 + (25*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (20*z^4)/a^6 - (41*z^4)/a^4 + (24*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (23*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2818] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2819] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (23*z^2)/a^4 + (17*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2820] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 24*z^2 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2821] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 
   2*z^2 - z^2/a^2 + 16*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2822] -> a^(-10) - 5/a^8 + 5/a^6 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 2823] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (36*z^2)/a^6 - (23*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (37*z^4)/a^6 - (32*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + (17*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2824] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 
   2/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2825] -> -5 + 14*a^2 - 10*a^4 + 2*a^6 - 
   17*z^2 + (2*z^2)/a^2 + 39*a^2*z^2 - 25*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + 
   (3*z^4)/a^2 + 42*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2826] -> 3 - 2/a^2 + 3*a^2 - 4*a^4 + a^6 + 
   8*z^2 + z^2/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 + z^4/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2827] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2828] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2829] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 
   8*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2830] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 2831] -> 
  -3/a^6 + 5/a^4 - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2832] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 5*z^2 + 18*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2833] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (23*z^2)/a^4 + (17*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2834] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 24*z^2 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2835] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   16*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 2836] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2837] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   5*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2838] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2839] -> 2 + a^(-4) - 2/a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2840] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2841] -> 
  1 - a^2 + 2*a^4 - a^6 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2842] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2843] -> 3 - 5*a^2 + 4*a^4 - a^6 - 2*a^2*z^2 + 
   a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 2844] -> 
  -5 + a^(-2) + 11*a^2 - 8*a^4 + 2*a^6 - 23*z^2 + (6*z^2)/a^2 + 33*a^2*z^2 - 
   18*a^4*z^2 + 3*a^6*z^2 - 32*z^4 + (9*z^4)/a^2 + 36*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2845] -> 
  -2 + a^(-2) + 2*a^2 + 2*a^4 - 3*a^6 + a^8 - 8*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   8*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 2846] -> 1 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2847] -> 2 - 2*a^2 + a^4 + a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2848] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 5*a^2*z^2 - 13*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 22*a^4*z^4 + 
   24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2849] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2850] -> -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 17*z^2 + 
   (7*z^2)/a^6 - (24*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + 
   (5*z^4)/a^6 - (26*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2851] -> 
  -2 + a^(-8) - 3/a^6 + 2/a^4 + 2/a^2 + a^2 - 8*z^2 + (3*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^8 - 
   (8*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 2852] -> 5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - 5*z^2 + 
   22*a^2*z^2 - 33*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 31*a^2*z^4 - 
   37*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 17*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2853] -> 2 - 2*a^2 + 2*a^6 - a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2854] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2855] -> 
  -2 + a^(-8) - 2/a^6 + 3/a^2 + a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 2856] -> 
  7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 - 4*a^4*z^2 + 27*a^6*z^2 - 32*a^8*z^2 + 
   17*a^10*z^2 - 3*a^12*z^2 - 8*a^4*z^4 + 34*a^6*z^4 - 35*a^8*z^4 + 
   13*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 21*a^6*z^6 - 17*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 2857] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 - 
   2*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 8*a^4*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2858] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2859] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 5*a^2*z^2 - 13*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 22*a^4*z^4 + 
   24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2860] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2861] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 13*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2862] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 10*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 2863] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 19*z^4 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2864] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2865] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2866] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2867] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 2868] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2869] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (15*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2870] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2871] -> -2 + a^(-2) + 2*a^2 + 2*a^4 - 3*a^6 + a^8 - 
   z^2 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[14, Alternating, 2872] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (24*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2873] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2874] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2875] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 12*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (5*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2876] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 15*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2877] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 2878] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2879] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - 
   a^4 - 30*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 
   33*z^4 - (9*z^4)/a^4 + (31*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 16*z^6 - 
   (5*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2880] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + 
   a^2 - 14*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 
   16*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2881] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 3*z^2 + 16*a^2*z^2 - 26*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2882] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 16*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 
   14*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 2883] -> 
  3*a^2 - 7*a^4 + 10*a^6 - 6*a^8 + a^10 + 9*a^2*z^2 - 26*a^4*z^2 + 
   32*a^6*z^2 - 14*a^8*z^2 + 2*a^10*z^2 + 10*a^2*z^4 - 35*a^4*z^4 + 
   34*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 22*a^4*z^6 + 16*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2884] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   8*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2885] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 5*z^2 + z^2/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 2886] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   4*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2887] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   5*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2888] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 2889] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 35*z^2 - (7*z^2)/a^4 + (26*z^2)/a^2 + 
   18*a^2*z^2 - 3*a^4*z^2 - 36*z^4 - (9*z^4)/a^4 + (33*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2890] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (14*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (14*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2891] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 - z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 2892] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 + z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2893] -> 
  3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   8*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2894] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 6*z^2 + 
   22*a^2*z^2 - 24*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 26*a^2*z^4 - 
   27*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2895] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 2896] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 35*z^2 - (5*z^2)/a^4 + (22*z^2)/a^2 + 
   22*a^2*z^2 - 5*a^4*z^2 - 38*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2897] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 2898] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2899] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 5*z^2 - 
   z^2/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2900] -> 
  -5 + 3/a^2 + 3*a^2 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 2901] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 2902] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + a^4*z^2 + 11*a^6*z^2 - 13*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 11*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 2903] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 2904] -> -2 + a^(-4) + 2*a^2 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 2905] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2906] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2907] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 
   3*a^2 + 2*a^4 + 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2908] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   14*z^2 + z^2/a^4 + z^2/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 2909] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 6*z^2 + z^2/a^4 + 4*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + z^4/a^4 + a^2*z^4 + 5*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[14, Alternating, 2910] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 24*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - (6*z^4)/a^4 + (22*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2911] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2912] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 2913] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2914] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2915] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   12*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2916] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   3*a^4 + a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2917] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + 
   2*a^2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 12*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 2918] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 2919] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 
   27*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2920] -> 
  2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2921] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 - (4*z^2)/a^8 + (15*z^2)/a^6 - (16*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - (15*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 2922] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2923] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 17*a^2*z^2 - 26*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2924] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 2925] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 20*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2926] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2927] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2928] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2929] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + 
   (6*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 2930] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2931] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 2932] -> -4 - 2/a^4 + 6/a^2 + a^4 - 3*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2933] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 8*a^2*z^2 - 22*a^4*z^2 + 
   24*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 
   26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2934] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   11*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - (2*z^4)/a^2 + 11*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 2935] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + z^2/a^10 - z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2936] -> -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 - 
   z^2/a^10 + z^2/a^8 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2937] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (21*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (8*z^4)/a^10 - 
   (23*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2938] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + z^4/a^12 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2939] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 - z^2 + 
   14*a^2*z^2 - 30*a^4*z^2 + 25*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 17*a^2*z^4 - 
   38*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 22*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2940] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   2*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 2941] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2942] -> 
  a^(-2) - a^4 + a^6 + 2*z^2 - z^2/a^4 - z^2/a^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 2943] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2944] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 2945] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - z^2/a^4 - 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 2946] -> 3*a^2 - 3*a^4 + a^6 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2947] -> 
  6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 17*a^6*z^2 - 21*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 - 2*a^2*z^4 + 15*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 8*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 2948] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 6*a^4*z^2 - 
   a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 2949] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + z^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 2950] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 2951] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 28*z^2 + 
   (9*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 35*z^4 + (10*z^4)/a^2 + 
   30*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2952] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - z^2/a^12 + 
   (13*z^2)/a^10 - (23*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + 
   (7*z^4)/a^10 - (25*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 2953] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^4 + z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 2954] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2955] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^12 - 
   z^2/a^10 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 2956] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 
   7/a^2 - 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + (13*z^2)/a^2 + 
   z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 2957] -> -12 + a^(-6) - 7/a^4 + 15/a^2 + 4*a^2 - 
   24*z^2 + (5*z^2)/a^6 - (23*z^2)/a^4 + (38*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (8*z^4)/a^6 - (30*z^4)/a^4 + (39*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2958] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 2959] -> 
  -11 - a^(-4) + 7/a^2 + 7*a^2 - a^4 - 31*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 
   14*a^2*z^2 - 2*a^4*z^2 - 33*z^4 - (9*z^4)/a^4 + (31*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 16*z^6 - (5*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2960] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2961] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 
   2*a^2 - 15*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 
   16*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2962] -> 
  5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - 3*z^2 + 16*a^2*z^2 - 27*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2963] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + (6*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2964] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 
   26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2965] -> 2 - a^2 - a^4 + a^6 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 2966] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2967] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2968] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   18*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 7*z^4 + 24*a^2*z^4 - 
   24*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2969] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 2970] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 2971] -> -3 + a^(-4) + 4*a^2 - a^4 - 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2972] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 2973] -> 
  2 - 2*a^2 + a^4 - 2*z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   6*z^4 + 19*a^2*z^4 - 21*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2974] -> 1 - a^2 + 2*a^4 - a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2975] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + 
   (6*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 2976] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 6*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2977] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (15*z^2)/a^6 - 
   (10*z^2)/a^4 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (14*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 2978] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (10*z^2)/a^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 2979] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 14*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2980] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 5*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2981] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 9*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 2982] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2983] -> 2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - 
   (12*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (18*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 2984] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 
   2/a^2 + a^2 - 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 2985] -> -6 + 2/a^2 + 11*a^2 - 9*a^4 + 3*a^6 - 
   21*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 24*a^4*z^2 + 6*a^6*z^2 - 23*z^4 + 
   (4*z^4)/a^2 + 37*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 2986] -> 2 + a^(-4) - 2/a^2 + 2*a^2 - 
   4*a^4 + 2*a^6 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 2987] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 
   3*a^2 - 17*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 2988] -> 
  1 - 3*a^4 + 6*a^6 - 3*a^8 + z^2 + 5*a^2*z^2 - 16*a^4*z^2 + 16*a^6*z^2 - 
   3*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 14*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 2989] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 5*z^2 - (5*z^2)/a^8 + (22*z^2)/a^6 - 
   (33*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (38*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 2990] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - 
   a^2 + 7*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 2991] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 
   26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 2992] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 7*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 2993] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 2994] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 17*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 2995] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 2996] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 + (2*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 2997] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (6*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 2998] -> 
  -a^(-12) + 2/a^10 - 3/a^6 + 2/a^4 + a^(-2) + (4*z^2)/a^10 - (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - 
   (5*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 2999] -> 
  4 - 2/a^4 + a^(-2) - a^2 - a^4 + 10*z^2 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^4*z^2 + 13*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 3000] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + 
   a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3001] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3002] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + (3*z^2)/a^12 - (5*z^2)/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3003] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 3004] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 
   2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3005] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3006] -> a^(-12) - 2/a^10 + a^(-8) - a^(-6) + a^(-4) + 
   a^(-2) + z^2/a^12 - z^2/a^10 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3007] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3008] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3009] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + 
   (2*z^2)/a^16 - (6*z^2)/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (9*z^4)/a^14 + (26*z^4)/a^10 + (9*z^4)/a^8 - 
   (3*z^6)/a^14 + (6*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 3010] -> 
  5 - 4/a^2 + 4*a^2 - 4*a^4 + 16*z^2 - (12*z^2)/a^2 + 16*a^2*z^2 - 
   12*a^4*z^2 + 25*z^4 - (13*z^4)/a^2 + 25*a^2*z^4 - 13*a^4*z^4 + 19*z^6 - 
   (6*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - z^8/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 3011] -> 
  3 - a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + 12*z^2 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 16*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 3012] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3013] -> 
  6 - a^(-4) - 2/a^2 - 2*a^4 + 15*z^2 - (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 18*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 
   10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 3014] -> 4 - 2/a^4 + a^(-2) - a^2 - a^4 + 
   8*z^2 - z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   8*z^4 - z^4/a^6 + (7*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 3015] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3016] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3017] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (7*z^2)/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (2*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 3018] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^12 + 
   (6*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (4*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3019] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 3020] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^4 - z^2/a^2 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (6*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3021] -> a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3022] -> 
  -5/a^4 + 8/a^2 - 2*a^2 + 2*z^2 - (2*z^2)/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 - 
   5*a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + (19*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 3023] -> -2/a^6 + a^(-4) + 3/a^2 - 
   a^2 - z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 - z^4/a^8 + (6*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 3024] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 3025] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3026] -> a^(-16) - a^(-14) - 3/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) + z^2/a^16 - (5*z^2)/a^14 - (3*z^2)/a^12 + (7*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 3027] -> 1 - a^(-8) + a^(-6) - a^(-4) + 
   2/a^2 - a^2 + 4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3028] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3029] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3030] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - (3*z^2)/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + (4*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3031] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3032] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3033] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2 + z^2/a^10 - z^2/a^8 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3034] -> 
  -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 3*a^2*z^2 + 4*a^4*z^2 + 13*a^6*z^2 - 
   8*a^8*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 14*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3035] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 28*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   23*a^2*z^2 - 6*a^4*z^2 - 35*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3036] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 
   20*a^2*z^2 - 26*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 
   33*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3037] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 18*z^2 + 
   (3*z^2)/a^2 + 33*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + (3*z^4)/a^2 + 
   39*a^2*z^4 - 20*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 23*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3038] -> 3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 6*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3039] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 22*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 20*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3040] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 24*z^2 - 
   z^2/a^6 + z^2/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 3041] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 11*z^2 + 
   z^2/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 3042] -> 
  -4 + 3/a^2 + 3*a^4 - a^6 - 8*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 3043] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3044] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 11*z^2 + (6*z^2)/a^6 - (25*z^2)/a^4 + 
   (33*z^2)/a^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (28*z^4)/a^4 + 
   (38*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3045] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3046] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 
   a^2*z^2 - 5*a^4*z^2 + 27*a^6*z^2 - 17*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 26*a^6*z^4 - 9*a^8*z^4 - a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   13*a^6*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3047] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (32*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3048] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 32*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 
   18*a^2*z^2 - 3*a^4*z^2 - 39*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 
   20*a^2*z^4 - 3*a^4*z^4 - 23*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3049] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 7*a^2*z^2 - 32*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (32*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3050] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3051] -> -5 - a^(-6) + 3/a^4 + 5*a^2 - a^4 - 12*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3052] -> -5 - a^(-6) + 3/a^4 + 5*a^2 - a^4 - 10*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3053] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3054] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (32*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (35*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 - (3*z^6)/a^8 + (17*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 3055] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3056] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 13*z^2 + 
   z^2/a^2 + 33*a^2*z^2 - 23*a^4*z^2 + 5*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   38*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3057] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3058] -> 
  -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 33*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (43*z^2)/a^2 + 9*a^2*z^2 - 37*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (39*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3059] -> -11 + 2/a^6 - 12/a^4 + 20/a^2 + 2*a^2 - 
   27*z^2 + (4*z^2)/a^6 - (25*z^2)/a^4 + (47*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + 
   (3*z^4)/a^6 - (22*z^4)/a^4 + (46*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3060] -> 
  2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 - 2*a^2*z^2 + 5*a^4*z^2 + 
   11*a^6*z^2 - 21*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   13*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 3061] -> 
  a^2 + a^4 - 3*a^8 + 3*a^10 - a^12 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 3062] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3063] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   5*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3064] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^2 - a^4*z^2 - 10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3065] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 3066] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + 
   a^8 - 4*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 
   3*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 3067] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 9*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3068] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + 
   a^10 + z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3069] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3070] -> 2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 - 
   2*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 14*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - 11*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 3071] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 - z^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - z^4 + 
   a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 3072] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 + 
   z^2 - z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3073] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3074] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3075] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   8*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 3076] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3077] -> 
  2 + a^(-4) - 2/a^2 - z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (22*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 3078] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 7*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3079] -> 1 - a^2 + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3080] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3081] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3082] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 3083] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 16*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (25*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (33*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3084] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (28*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (18*z^4)/a^6 - (37*z^4)/a^4 + (22*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3085] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3086] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3087] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 18*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 
   17*a^4*z^2 + 3*a^6*z^2 - 28*z^4 + (8*z^4)/a^2 + 34*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 20*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3088] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 7*a^2*z^2 - 20*a^4*z^2 + 
   27*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 + 9*a^2*z^4 - 31*a^4*z^4 + 
   32*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 21*a^4*z^6 + 16*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3089] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 6*z^2 + 
   22*a^2*z^2 - 26*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 31*a^2*z^4 - 
   32*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3090] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3091] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3092] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 3*z^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   7*a^2*z^4 - 4*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3093] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 10*z^2 + (3*z^2)/a^2 + 
   8*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3094] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + (4*z^2)/a^10 - (15*z^2)/a^8 + 
   (25*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (31*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 3095] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3096] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 
   18*a^2*z^2 - 27*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 28*a^2*z^4 - 
   34*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 20*a^2*z^6 - 17*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3097] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3098] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3099] -> 1 + a^4 - 2*a^6 + a^8 - z^2 - a^2*z^2 + 
   6*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 3100] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 - 
   2*a^4*z^2 + 22*a^6*z^2 - 26*a^8*z^2 + 16*a^10*z^2 - 3*a^12*z^2 - 
   7*a^4*z^4 + 30*a^6*z^4 - 33*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 
   20*a^6*z^6 - 17*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 3101] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 3102] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 - 
   (4*z^2)/a^8 + (19*z^2)/a^6 - (27*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (35*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (21*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3103] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 - a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3104] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3105] -> 
  -10 + 4/a^2 + 11*a^2 - 5*a^4 + a^6 - 33*z^2 + (10*z^2)/a^2 + 34*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 38*z^4 + (10*z^4)/a^2 + 36*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3106] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2/a^10 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3107] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^6*z^2 + a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3108] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 9*z^2 + 31*a^2*z^2 - 35*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 37*a^2*z^4 - 37*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3109] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 3*z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + 
   z^4/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3110] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3111] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3112] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 - 2*z^2 + 5*a^2*z^2 + 2*a^4*z^2 - 10*a^6*z^2 + 
   7*a^8*z^2 - a^10*z^2 - 3*z^4 + 6*a^2*z^4 + 3*a^4*z^4 - 10*a^6*z^4 + 
   3*a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 3113] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 9*z^2 + 
   31*a^2*z^2 - 35*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 37*a^2*z^4 - 
   37*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 17*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3114] -> 2 + a^(-4) - 2/a^2 + 6*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3115] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   z^4 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, Alternating, 3116] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3117] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   2*z^2 - 10*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   3*a^2*z^4 - 13*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   8*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3118] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 3119] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3120] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3121] -> 
  1 - a^2 + 4*a^6 - 4*a^8 + a^10 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 3122] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3123] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3124] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - z^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3125] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3126] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 8*a^2*z^2 - 
   22*a^4*z^2 + 26*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 9*a^2*z^4 - 
   32*a^4*z^4 + 31*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 21*a^4*z^6 + 
   16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3127] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3128] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   18*a^2*z^2 - 4*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3129] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 6*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 3130] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 - 2*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 3131] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3132] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3133] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + z^2/a^10 + z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3134] -> a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - 
   (5*z^2)/a^12 + (18*z^2)/a^10 - (22*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 + (11*z^4)/a^10 - (22*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3135] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 
   3*a^4 - 34*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 
   39*z^4 - (3*z^4)/a^4 + (21*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 3136] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - z^2/a^6 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3137] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 3*z^2 - z^2/a^2 + 19*a^2*z^2 - 
   23*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - (2*z^4)/a^2 + 16*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 3138] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3139] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3140] -> 
  1 + a^4 - 2*a^6 + a^8 - 2*z^2 + a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + 
   z^4/a^4 + z^4/a^2 + a^2*z^4 + 5*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 3141] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 - a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 3142] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) + (5*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3143] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3144] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - z^2/a^12 + 
   (10*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + 
   (6*z^4)/a^10 - (20*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3145] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) + (5*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3146] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 2*a^4*z^2 + 
   12*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 
   11*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 3147] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2/a^12 - z^2/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 3148] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3149] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3150] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 3151] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   3*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 3152] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - z^4 + a^6*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 3153] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 - z^2 + 
   4*a^2*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - z^4 - z^4/a^2 + 4*a^2*z^4 - 
   5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, Alternating, 3154] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3155] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   23*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3156] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3157] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3158] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3159] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   7*z^2 + z^2/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3160] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3161] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (9*z^2)/a^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3162] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 3163] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3164] -> 
  -2 + a^(-4) + 2*a^2 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3165] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 
   10*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 3166] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3167] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - a^4 - 29*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3168] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + 
   a^4 + 2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - a^4*z^2 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3169] -> 4*a^2 - 10*a^4 + 13*a^6 - 7*a^8 + a^10 + 
   10*a^2*z^2 - 29*a^4*z^2 + 34*a^6*z^2 - 14*a^8*z^2 + 2*a^10*z^2 + 
   10*a^2*z^4 - 36*a^4*z^4 + 34*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   22*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 3170] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   21*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3171] -> 2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 
   9*a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   9*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3172] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (2*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3173] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3174] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3175] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3176] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 + z^2/a^10 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3177] -> 
  3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3178] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - 
   (9*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3179] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + z^2/a^6 - (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3180] -> 5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - 2*z^2 + 
   15*a^2*z^2 - 30*a^4*z^2 + 23*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 18*a^2*z^4 - 
   37*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 22*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3181] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 4*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3182] -> -4 - 2/a^4 + 6/a^2 + a^4 - 7*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 3183] -> 3 - a^(-2) - a^2 + 6*z^2 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3184] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3185] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + (6*z^2)/a^10 - (10*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3186] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 20*z^2 + (6*z^2)/a^2 + 19*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 23*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3187] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 19*z^2 + (6*z^2)/a^2 + 18*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3188] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3189] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3190] -> 
  -10 + 4/a^2 + 11*a^2 - 5*a^4 + a^6 - 23*z^2 + (6*z^2)/a^2 + 26*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3191] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3192] -> 
  a^(-4) - a^(-2) + a^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3193] -> 1 + a^(-10) - 4/a^8 + 8/a^6 - 8/a^4 + 3/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 3194] -> -6 + 2/a^6 - 6/a^4 + 9/a^2 + a^2 + 
   a^4 - 14*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 7*z^4 + z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 3195] -> -4 + a^(-8) - 2/a^6 + a^(-4) + 
   3/a^2 + a^2 + a^4 - 7*z^2 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 3196] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3197] -> 
  -2/a^12 + 7/a^10 - 10/a^8 + 5/a^6 + a^(-4) - (3*z^2)/a^12 + (16*z^2)/a^10 - 
   (23*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (10*z^4)/a^10 - 
   (23*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3198] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   24*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3199] -> 
  -2 + a^(-6) - 3/a^4 + 5/a^2 - 2*a^2 + 2*a^4 - 2*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3200] -> 
  1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3201] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 4*z^2 - (5*z^2)/a^8 + (20*z^2)/a^6 - 
   (28*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (22*z^4)/a^6 - 
   (34*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (21*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 3202] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3203] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 
   5*a^4 - 41*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 31*a^2*z^2 - 7*a^4*z^2 - 
   42*z^4 - (4*z^4)/a^4 + (24*z^4)/a^2 + 26*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 3204] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3205] -> 
  6 - 4/a^2 + 2*a^2 - 3*a^4 + 16*z^2 - (11*z^2)/a^2 + 12*a^2*z^2 - 
   10*a^4*z^2 + 23*z^4 - (12*z^4)/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 18*z^6 - 
   (6*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - z^8/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 3206] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 11*z^2 - (3*z^2)/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 15*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 3207] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 8*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 3208] -> 3/a^12 - 6/a^10 + 4/a^6 + 
   (8*z^2)/a^12 - (15*z^2)/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 + 
   (11*z^4)/a^12 - (20*z^4)/a^10 - (14*z^4)/a^8 + (16*z^4)/a^6 + 
   (6*z^6)/a^12 - (17*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (7*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 3209] -> 2/a^12 - 3/a^10 - 2/a^8 + 3/a^6 + a^(-4) + 
   (4*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3210] -> 
  a^(-12) - 4/a^8 + 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (11*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3211] -> a^(-12) - 4/a^8 + 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3212] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 + 
   z^4/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 3213] -> 
  1 - a^(-6) + a^(-4) + a^2 - a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 3214] -> a^(-12) - a^(-10) - a^(-8) + a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3215] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3216] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + (3*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3217] -> 2 - 2/a^4 + 2/a^2 - a^4 + 6*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 3218] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - 
   (4*z^2)/a^12 + (10*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 + z^4/a^12 + 
   (6*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3219] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 + 
   3*z^2 - z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 3220] -> -a^(-6) - a^(-4) + 4/a^2 - a^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^8 - 
   z^4/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 3221] -> 
  3/a^10 - 6/a^8 + a^(-6) + 3/a^4 + z^2/a^12 + (6*z^2)/a^10 - (15*z^2)/a^8 + 
   z^2/a^6 + (7*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - (17*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3222] -> 2/a^10 - 3/a^8 - a^(-6) + 2/a^4 + a^(-2) + 
   z^2/a^12 + (2*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3223] -> 
  1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3224] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3225] -> 
  2/a^10 - 8/a^8 + 6/a^6 + 3/a^4 - 2/a^2 - (11*z^2)/a^8 + (16*z^2)/a^6 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^10 - (3*z^4)/a^8 + (17*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3226] -> -a^(-12) + 6/a^10 - 8/a^8 + 4/a^4 + 
   (9*z^2)/a^10 - (16*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (16*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3227] -> 
  a^(-10) - 3/a^6 + a^(-4) + 2/a^2 + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3228] -> 
  1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + z^2 + z^2/a^12 - (2*z^2)/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 - z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 3229] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 10*a^4*z^2 + 31*a^6*z^2 - 11*a^8*z^2 - 
   2*a^10*z^2 - 12*a^4*z^4 + 33*a^6*z^4 + 3*a^8*z^4 - 7*a^10*z^4 - 
   6*a^4*z^6 + 20*a^6*z^6 + 11*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 3230] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 3*a^2*z^2 + 
   5*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   12*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3231] -> -2*a^2 + 7*a^4 - 5*a^6 + 2*a^8 - a^10 - 
   5*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 - 4*a^2*z^4 + 
   12*a^4*z^4 - 2*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   2*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3232] -> -4*a^4 + 16*a^6 - 16*a^8 + 6*a^10 - a^12 - 
   12*a^4*z^2 + 41*a^6*z^2 - 27*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   13*a^4*z^4 + 41*a^6*z^4 - 11*a^8*z^4 - 2*a^10*z^4 - 6*a^4*z^6 + 
   22*a^6*z^6 + 5*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 5*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 3233] -> 
  -1 + 3*a^2 - a^4 + a^8 - a^10 - 2*z^2 + 5*a^2*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 - z^4 + 3*a^2*z^4 + a^4*z^4 + a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, Alternating, 3234] -> 
  -3 + 3/a^6 - 10/a^4 + 11/a^2 - 7*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (29*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (35*z^4)/a^4 + (26*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (21*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 3235] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 
   5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3236] -> 7 + a^(-6) - 5/a^2 - 2*a^2 + 12*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3237] -> -4 - a^(-8) + 8/a^6 - 18/a^4 + 16/a^2 - 
   8*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - (43*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 - 
   (3*z^4)/a^8 + (20*z^4)/a^6 - (43*z^4)/a^4 + (29*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (23*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3238] -> 
  -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 3239] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 8*a^4*z^2 + 
   29*a^6*z^2 - 13*a^8*z^2 - 2*a^2*z^4 - 5*a^4*z^4 + 28*a^6*z^4 - 6*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3240] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 2*a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 3241] -> 
  -3 + 3/a^6 - 10/a^4 + 11/a^2 - 9*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (27*z^2)/a^4 + (29*z^2)/a^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (30*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3242] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3243] -> a^4 + 5*a^6 - 10*a^8 + 7*a^10 - 2*a^12 - 
   a^2*z^2 + 2*a^4*z^2 + 16*a^6*z^2 - 24*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 16*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 3244] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 
   5*a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 3245] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3246] -> -5/a^8 + 11/a^6 - 8/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (30*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (33*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 3247] -> 1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3248] -> 2 - a^(-8) - a^(-6) + 6/a^4 - 5/a^2 + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^4 - (9*z^2)/a^2 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 + z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3249] -> -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, Alternating, 3250] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 
   2*a^2 + a^4 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3251] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   5*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   8*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 3252] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 + z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 19*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 3253] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 17*z^2 + 
   (4*z^2)/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   29*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3254] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3255] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   4*z^2 + 14*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3256] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 7*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 8*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[14, Alternating, 3257] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 19*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 - 
   14*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 28*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3258] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 
   6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 3259] -> 1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   4*z^2 - z^2/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 8*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 3260] -> 
  a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 + (4*z^2)/a^10 - (18*z^2)/a^8 + 
   (34*z^2)/a^6 - (25*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (36*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 3261] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3262] -> a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 2*a^12 - 
   a^2*z^2 + 3*a^4*z^2 + 12*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 12*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 3263] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3264] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 3265] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3266] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   2*z^2 - 2*a^2*z^2 - 4*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   3*z^4 - 6*a^2*z^4 - 4*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3267] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 6*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3268] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 3269] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 3270] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - z^2/a^2 + 
   2*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 3271] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 - a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   12*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - 
   11*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 3272] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 
   3*a^10*z^2 - z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 3273] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + 
   (26*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (19*z^4)/a^8 + 
   (32*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 3274] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3275] -> 
  -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 + 4*z^2 - (3*z^2)/a^2 + 8*a^2*z^2 - 
   16*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 7*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3276] -> 1 + a^4 - 3*a^6 + 3*a^8 - a^10 + 
   z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 3277] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 + 4*z^2 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3278] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3279] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 3280] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3281] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 3282] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + 
   (13*z^2)/a^6 + (6*z^4)/a^12 - z^4/a^10 - (18*z^4)/a^8 + (16*z^4)/a^6 + 
   (5*z^6)/a^12 - (10*z^6)/a^10 - (17*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (6*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 3283] -> -a^(-12) + a^(-8) + a^(-4) + z^2/a^12 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - 
   (8*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3284] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 + 
   (6*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 + 
   z^4/a^10 - (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3285] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + z^2/a^12 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 3286] -> a^(-14) - 5/a^12 + 7/a^10 - 
   6/a^8 + 4/a^6 + z^2/a^14 - (8*z^2)/a^12 + (20*z^2)/a^10 - (21*z^2)/a^8 + 
   (16*z^2)/a^6 + z^4/a^12 + (12*z^4)/a^10 - (27*z^4)/a^8 + (17*z^4)/a^6 + 
   (4*z^6)/a^12 - (4*z^6)/a^10 - (19*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (5*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 3287] -> -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (12*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 3288] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - (3*z^2)/a^12 + (11*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3289] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + z^2/a^12 - 
   z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3290] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3291] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) + 
   (2*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3292] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2 + 
   z^2/a^12 + (2*z^2)/a^6 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 3293] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3294] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3295] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 26*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3296] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3297] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 3298] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 7*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 3299] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (3*z^4)/a^4 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, Alternating, 3300] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 13*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 3301] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3302] -> -3 + a^(-8) - 2/a^6 + a^(-4) + 
   2/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 3303] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 + z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 3304] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3305] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 3306] -> 1 + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3307] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 23*z^2 + 
   (7*z^2)/a^2 + 26*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 25*z^4 + (5*z^4)/a^2 + 
   31*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3308] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   z^4/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3309] -> 6 + 2/a^4 - 5/a^2 - 2*a^2 - a^4 + a^6 + 
   10*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   8*z^4 + z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3310] -> -12 + 4/a^2 + 17*a^2 - 11*a^4 + 3*a^6 - 
   30*z^2 + (8*z^2)/a^2 + 39*a^2*z^2 - 25*a^4*z^2 + 6*a^6*z^2 - 28*z^4 + 
   (5*z^4)/a^2 + 39*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 3311] -> a^(-6) - 2/a^4 + 2/a^2 - a^4 + 
   a^6 - z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, Alternating, 3312] -> 
  -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 25*z^2 + (7*z^2)/a^2 + 28*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 32*z^4 + (9*z^4)/a^2 + 32*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3313] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 3314] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 28*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3315] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - z^2/a^4 + z^2/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3316] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (28*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3317] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 11*a^2*z^2 - 21*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3318] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 4*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3319] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (17*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + (8*z^4)/a^10 - (19*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3320] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + 
   a^6 - 23*z^2 + (6*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 
   31*z^4 + (9*z^4)/a^2 + 33*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 21*z^6 + 
   (5*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3321] -> a^(-4) - 2/a^2 + 5*a^2 - 4*a^4 + a^6 - 
   2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3322] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3323] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3324] -> 
  2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3325] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3326] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3327] -> 
  1 - 3/a^8 + 6/a^6 - 3/a^4 + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3328] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   3*z^4 + 10*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 3329] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + 
   a^2 - 13*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 
   16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3330] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (22*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (28*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 3331] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 
   27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3332] -> 1 - a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3333] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3334] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3335] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 17*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3336] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 17*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + 
   (29*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (8*z^4)/a^6 - (29*z^4)/a^4 + 
   (34*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 3337] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3338] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 
   22*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3339] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 24*z^2 + 
   (7*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 27*z^4 + (7*z^4)/a^2 + 
   26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3340] -> 3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3341] -> -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 + 
   z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3342] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3343] -> a^(-2) - a^2 + a^4 - 5*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 3344] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3345] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + (8*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3346] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3347] -> a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3348] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 
   2/a^2 + a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3349] -> 
  2 + a^(-4) - 2/a^2 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3350] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 3351] -> 
  1 - a^2 + 2*a^4 - a^6 - 7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (6*z^4)/a^2 + 18*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 + 
   (4*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3352] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 12*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3353] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 5*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3354] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 11*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 + a^2*z^4 - 11*a^4*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 3355] -> 3 - a^(-4) + a^(-2) - 3*a^2 + 
   a^4 + 6*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3356] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 - z^2/a^2 + 11*a^2*z^2 - 16*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 3357] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 
   27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3358] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3359] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3360] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3361] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 17*z^2 + (5*z^2)/a^6 - 
   (20*z^2)/a^4 + (30*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (8*z^4)/a^6 - 
   (29*z^4)/a^4 + (34*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - 
   (20*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 3362] -> a^(-6) - 4/a^4 + 5/a^2 - 2*a^2 + 
   a^4 + 2*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3363] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3364] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 
   2/a^2 + 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3365] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3366] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3367] -> a^4 + 5*a^6 - 10*a^8 + 7*a^10 - 2*a^12 - 
   a^2*z^2 + a^4*z^2 + 17*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 16*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 8*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 3368] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 3369] -> a^(-4) - a^(-2) + a^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3370] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + z^2 - z^2/a^4 - 3*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3371] -> a^(-2) - a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3372] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 3373] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 
   9*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3374] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3375] -> 2 - 2*a^2 + a^4 - 3*z^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3376] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3377] -> a^(-4) - a^(-2) + a^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3378] -> 2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3379] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3380] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3381] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   3*z^4 + 9*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 3382] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 
   18*z^2 + (6*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + (7*z^4)/a^2 + 
   19*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3383] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 + z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3384] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3385] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3386] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3387] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3388] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3389] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3390] -> 
  -5 + 13*a^2 - 8*a^4 + a^6 - 16*z^2 + (2*z^2)/a^2 + 35*a^2*z^2 - 
   19*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 36*a^2*z^4 - 18*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3391] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3392] -> 3/a^10 - 9/a^8 + 7/a^6 + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 - (2*z^4)/a^10 - 
   (8*z^4)/a^8 + (21*z^4)/a^6 - (7*z^4)/a^4 - (4*z^6)/a^10 + (5*z^6)/a^8 + 
   (14*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 3393] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 - z^4/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3394] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + z^2/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 3395] -> a^(-10) - 2/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 - z^4 - 
   z^4/a^10 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3396] -> 
  -4 + 10*a^2 - 5*a^4 - 11*z^2 + z^2/a^2 + 26*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3397] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - z^2/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3398] -> 4 - a^(-4) - 2*a^2 + 4*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 3399] -> -5 + 13*a^2 - 8*a^4 + a^6 - 16*z^2 + 
   (2*z^2)/a^2 + 35*a^2*z^2 - 19*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   36*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3400] -> -3 + a^(-6) - 4/a^4 + 7/a^2 - 2*a^2 + 2*a^4 + 
   z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3401] -> 3 + a^(-6) - 2/a^4 + a^(-2) - 3*a^2 + a^6 + 
   5*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 3402] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   9*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + 
   z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3403] -> 
  2/a^6 - 6/a^4 + 6/a^2 - 2*a^2 + a^4 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3404] -> 
  -1 + a^(-8) - 2/a^6 + 3/a^2 - a^2 + a^4 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 3405] -> 
  5*a^2 - 8*a^4 + 3*a^6 + 3*a^8 - 2*a^10 - 2*z^2 + 11*a^2*z^2 - 13*a^4*z^2 - 
   2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 7*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 3406] -> 2 - a^2 - 2*a^4 + 2*a^6 + a^8 - 
   a^10 + 3*z^2 - z^2/a^2 - 6*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 
   a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 3407] -> -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 
   8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3408] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 9*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3409] -> -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 
   8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3410] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 11*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 3411] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   2*a^4 - a^6 + a^8 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 3412] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + a^6 + 5*z^2 + z^2/a^6 - (5*z^2)/a^4 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - z^4/a^4 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 3413] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3414] -> 4*a^2 - 6*a^4 + 2*a^6 + 3*a^8 - 2*a^10 - 
   z^2 + 10*a^2*z^2 - 13*a^4*z^2 - a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 - 8*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 3415] -> 
  1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 - z^4/a^2 - 4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 3416] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + a^6 + 
   5*z^2 + z^2/a^6 - (5*z^2)/a^4 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 3417] -> -8 - 2/a^4 + 8/a^2 + 5*a^4 - 2*a^6 - 12*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3418] -> 
  a^(-10) - 3/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3419] -> 3*a^2 - 7*a^4 + 11*a^6 - 8*a^8 + 2*a^10 + 
   9*a^2*z^2 - 26*a^4*z^2 + 33*a^6*z^2 - 17*a^8*z^2 + 3*a^10*z^2 + 
   10*a^2*z^4 - 35*a^4*z^4 + 34*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   22*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 3420] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 + 3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3421] -> 
  -2/a^12 + 4/a^10 - 2/a^8 - 2/a^6 + 3/a^4 + (6*z^2)/a^10 - (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3422] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   a^(-4) + a^(-2) + z^2/a^12 + (2*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3423] -> a^(-14) - 5/a^12 + 7/a^10 - 2/a^8 - 4/a^6 + 
   4/a^4 - (3*z^2)/a^12 + (11*z^2)/a^10 - (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (10*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3424] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 + 
   z^2/a^12 - z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3425] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   z^2 + z^2/a^12 + z^2/a^6 - z^2/a^4 - z^4/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 3426] -> 
  3*a^2 - 6*a^4 + 9*a^6 - 7*a^8 + 2*a^10 + 8*a^2*z^2 - 22*a^4*z^2 + 
   27*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 9*a^2*z^4 - 32*a^4*z^4 + 
   31*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 21*a^4*z^6 + 16*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3427] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3428] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 26*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 
   18*a^2*z^2 - 4*a^4*z^2 - 32*z^4 - (8*z^4)/a^4 + (30*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3429] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 7*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 3430] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3431] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[14, Alternating, 3432] -> 
  2/a^6 - 6/a^4 + 6/a^2 - 2*a^2 + a^4 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3433] -> 
  -3 + a^(-6) - 4/a^4 + 7/a^2 - 2*a^2 + 2*a^4 + z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3434] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 9*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3435] -> 5*a^2 - 8*a^4 + 3*a^6 + 3*a^8 - 2*a^10 - 
   2*z^2 + 11*a^2*z^2 - 13*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 
   3*z^4 + 8*a^2*z^4 - 7*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 3436] -> 
  -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 8*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 3437] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 9*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3438] -> -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 
   8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3439] -> 
  3*a^2 - 7*a^4 + 11*a^6 - 8*a^8 + 2*a^10 + 9*a^2*z^2 - 26*a^4*z^2 + 
   33*a^6*z^2 - 17*a^8*z^2 + 3*a^10*z^2 + 10*a^2*z^4 - 35*a^4*z^4 + 
   34*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 22*a^4*z^6 + 16*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3440] -> -1 + 3*a^2 - a^6 - 4*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 4*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 2*a^6*z^4 - 
   3*z^6 + z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 3441] -> -1 + 4*a^2 - 2*a^4 - z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 3442] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   (2*z^2)/a^4 - z^2/a^2 - 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3443] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 9*a^4*z^2 + 26*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 - 
   12*a^4*z^4 + 31*a^6*z^4 + 7*a^8*z^4 - 8*a^10*z^4 - 6*a^4*z^6 + 
   20*a^6*z^6 + 12*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 3444] -> 
  -a^2 + 4*a^4 - 3*a^6 + 3*a^8 - 2*a^10 - 4*a^2*z^2 + 11*a^4*z^2 - 
   5*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 
   10*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3445] -> 
  3*a^6 - a^8 - a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3446] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - z^2 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 3447] -> -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 3448] -> 
  4 - a^(-4) - 2*a^2 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 6*a^2*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 3449] -> 
  -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 17*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3450] -> 3 - a^(-6) + 2/a^4 - 3/a^2 + 2*a^2 - 2*a^4 + 
   6*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3451] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3452] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 33*z^2 - 
   (3*z^2)/a^4 + (18*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 36*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 32*a^2*z^4 - 9*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3453] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3454] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 29*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (31*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (33*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3455] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 9*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + 4*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 3456] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3457] -> -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 - 
   6*a^4*z^2 + 25*a^6*z^2 - 8*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   28*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3458] -> 3*a^6 - a^8 - a^10 - 3*a^2*z^2 + 5*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 - 2*a^2*z^4 + 7*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 3459] -> -2/a^6 + 3/a^4 + z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3460] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 10*z^2 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + z^4/a^6 - (5*z^4)/a^4 + (15*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 3461] -> 
  2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3462] -> -a^(-2) + 5*a^2 - 3*a^4 - 4*z^2 + 
   15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3463] -> -a^(-4) + 6*a^2 - 4*a^4 - 4*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3464] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 
   z^2 - z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3465] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (7*z^2)/a^16 - (29*z^2)/a^14 + (11*z^2)/a^12 + (23*z^2)/a^10 + 
   (5*z^4)/a^16 - (39*z^4)/a^14 + (40*z^4)/a^12 + (34*z^4)/a^10 + z^6/a^16 - 
   (19*z^6)/a^14 + (39*z^6)/a^12 + (24*z^6)/a^10 - (3*z^8)/a^14 + 
   (15*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 3466] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 + (2*z^2)/a^12 + (13*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + (9*z^4)/a^12 + (24*z^4)/a^10 + 
   (9*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 3467] -> 
  a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 + (2*z^2)/a^16 - (9*z^2)/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (12*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 + 
   (9*z^4)/a^12 + (12*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^14 + 
   (8*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 3468] -> a^(-16) - 3/a^14 + 2/a^12 - 
   a^(-10) + 2/a^6 + z^2/a^16 - (7*z^2)/a^14 + (6*z^2)/a^12 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^4)/a^14 + (6*z^4)/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 3469] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3470] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - 
   (25*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (17*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 3471] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3472] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 2*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 8*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3473] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   28*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 34*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3474] -> -2 - a^(-4) + 3/a^2 - a^2 + 4*a^4 - 
   2*a^6 - 6*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 
   3*a^6*z^2 - 6*z^4 - z^4/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3475] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 5*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 3476] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 4*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 3477] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (33*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (36*z^4)/a^6 - (32*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + (17*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 3478] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 
   3/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3479] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (30*z^2)/a^8 + (33*z^2)/a^6 - (7*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (32*z^4)/a^8 + (38*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^6)/a^10 - (16*z^6)/a^8 + (22*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 3480] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3481] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 12*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 21*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3482] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3483] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (16*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3484] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3485] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (16*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (22*z^4)/a^6 - (25*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3486] -> 
  2 + a^(-4) - 2/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3487] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 
   6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 3488] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (22*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3489] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (17*z^4)/a^4 + z^4/a^2 + z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 - 
   z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3490] -> 
  -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 17*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3491] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 30*a^2*z^2 - 10*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 37*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3492] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 12*a^2*z^2 - 5*a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3493] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 12*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 21*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3494] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3495] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (20*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3496] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (19*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3497] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 3*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 3498] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 7*z^2 + z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3499] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3500] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 5*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + 
   (22*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3501] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3502] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3503] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3504] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   4*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3505] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 - z^2/a^2 - 
   8*a^2*z^2 + 7*a^4*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3506] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 9*z^2 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3507] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3508] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 - 5*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - 
   3*z^4 + 10*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 3509] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 2*z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 3510] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3511] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3512] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 23*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   26*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3513] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^2 - 
   9*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3514] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   3*z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 3515] -> 2 - a^2 - a^4 + a^6 + a^2*z^2 - 
   7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3516] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3517] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3518] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - z^2 + 10*a^2*z^2 - 22*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3519] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (18*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 3520] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3521] -> a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   3*a^4*z^2 + 12*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3522] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3523] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   26*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3524] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 3525] -> 4*a^4 - 4*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3526] -> 
  1 + 2*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3527] -> 
  3 - 3*a^2 + a^6 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3528] -> 2 + a^2 - 6*a^4 + 5*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   25*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3529] -> 1 + a^(-2) - 2*a^2 + a^6 + 2*z^2 - z^2/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3530] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 3531] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3532] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3533] -> 
  -5 + 3/a^2 + 3*a^2 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[14, Alternating, 3534] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 - 
   z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 3535] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   11*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + 
   (5*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3536] -> 1 + a^4 - 2*a^6 + a^8 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, Alternating, 3537] -> 
  3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3538] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3539] -> 
  1 + a^4 - 2*a^6 + a^8 - 3*z^2 + z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3540] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3541] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3542] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - 8*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 3543] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 3544] -> 
  -8 + 3/a^2 + 9*a^2 - 3*a^4 - 27*z^2 + (9*z^2)/a^2 + 26*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 35*z^4 + (10*z^4)/a^2 + 29*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3545] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (18*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (7*z^4)/a^10 - 
   (23*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3546] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + 
   z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3547] -> 
  -5 + 3/a^2 + 3*a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3548] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3549] -> 
  5*a^4 - 6*a^6 + 2*a^8 + z^2 - 4*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 3*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3550] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3551] -> -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3552] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 7*a^2*z^2 - 
   17*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 7*a^2*z^4 - 
   25*a^4*z^4 + 22*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3553] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^8 - z^2/a^4 - (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3554] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 + z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3555] -> 
  3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3556] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 3557] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 3558] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   24*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3559] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3560] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 17*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3561] -> 4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3562] -> a^(-14) - 4/a^12 + 3/a^10 + a^(-4) + 
   z^2/a^14 - (9*z^2)/a^12 + (13*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^12 + (15*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^4 + 
   (5*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3563] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   a^2*z^2 - 4*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 23*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3564] -> -1 + 4*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 3*z^2 + 
   14*a^2*z^2 - 23*a^4*z^2 + 26*a^6*z^2 - 8*a^8*z^2 - 3*z^4 + 18*a^2*z^4 - 
   32*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 21*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3565] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 3566] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (30*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3567] -> 1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3568] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (5*z^4)/a^10 - (15*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3569] -> 1 - a^(-4) + 4*a^2 - 3*a^4 - 2*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3570] -> 2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3571] -> 2/a^16 - 4/a^14 - 2/a^12 + 
   4/a^10 + a^(-8) + (3*z^2)/a^16 - (14*z^2)/a^14 - z^2/a^12 + 
   (20*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (10*z^4)/a^12 + 
   (31*z^4)/a^10 + (6*z^4)/a^8 - (4*z^6)/a^14 + (11*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 3572] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 + z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 3573] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3574] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + (3*z^2)/a^16 - 
   (12*z^2)/a^14 - z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - 
   (14*z^4)/a^14 + (12*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - 
   (4*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 3575] -> 
  a^(-16) - 3/a^14 + 2/a^12 - 2/a^10 + 2/a^8 + a^(-6) + z^2/a^16 - 
   (7*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^4)/a^14 + (6*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 3576] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 3577] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 3*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 13*a^6*z^4 + 3*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3578] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3579] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 25*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (27*z^2)/a^2 + 8*a^2*z^2 - 34*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (30*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3580] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - 
   3*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 9*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3581] -> -8 + 4/a^2 + 6*a^2 - a^4 - 15*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3582] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - a^2*z^2 - 3*a^4*z^2 + 18*a^6*z^2 - 
   4*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 21*a^6*z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3583] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + (2*z^2)/a^16 - (4*z^2)/a^14 - 
   (14*z^2)/a^12 + (19*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (9*z^4)/a^14 - 
   z^4/a^12 + (26*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 3584] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) + 
   z^2/a^16 - (3*z^2)/a^14 - (4*z^2)/a^12 + (5*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^4)/a^14 + z^4/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 3585] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 2*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3586] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + (3*z^2)/a^16 - (10*z^2)/a^14 - 
   (9*z^2)/a^12 + (23*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (5*z^4)/a^12 + (32*z^4)/a^10 + (6*z^4)/a^8 - (4*z^6)/a^14 + 
   (10*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 3587] -> 
  1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 3588] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3589] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 
   6*z^2 + (4*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3590] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 35*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 
   26*a^2*z^2 - 7*a^4*z^2 - 36*z^4 - z^4/a^4 + (13*z^4)/a^2 + 33*a^2*z^4 - 
   9*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3591] -> 
  a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (34*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (34*z^4)/a^6 - (36*z^4)/a^4 + (10*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 3592] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 
   z^2/a^2 + 10*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3593] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (11*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3594] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - 
   (11*z^2)/a^4 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3595] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 10*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3596] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3597] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 11*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3598] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 
   5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3599] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 10*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   9*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 3600] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 26*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + 
   (35*z^2)/a^2 + 7*a^2*z^2 - 33*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (36*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + (17*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3601] -> -a^(-12) + 6/a^10 - 14/a^8 + 12/a^6 - 2/a^4 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (33*z^2)/a^8 + (34*z^2)/a^6 - (7*z^2)/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (33*z^4)/a^8 + (38*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^6)/a^10 - (16*z^6)/a^8 + (22*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 3602] -> 
  -1 + a^(-8) - 4/a^6 + 5/a^4 - a^(-2) + a^2 - 7*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 3603] -> 
  -3/a^6 + 5/a^4 - a^(-2) - z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^10 - (7*z^4)/a^8 + 
   z^4/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3604] -> 
  -9 - 3/a^4 + 8/a^2 + 8*a^2 - 3*a^4 - 30*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 
   23*a^2*z^2 - 6*a^4*z^2 - 36*z^4 - (4*z^4)/a^4 + (24*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3605] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - a^4 - 
   3*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   4*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3606] -> 3 - a^(-2) + a^2 - 5*a^4 + 4*a^6 - a^8 + 
   5*z^2 - z^2/a^4 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6, 
 Knot[14, Alternating, 3607] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3608] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   22*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3609] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 
   8*z^2 + z^2/a^4 - z^2/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 3610] -> 
  -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - z^2/a^6 + z^2/a^4 + 
   z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 3611] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3612] -> 2 + a^(-6) - 3/a^4 + 3/a^2 - 4*a^2 + 2*a^4 + 
   7*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   9*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3613] -> 2 + a^(-6) - 2/a^4 + a^(-2) - a^2 - a^4 + 
   a^6 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 3614] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3615] -> 
  4 + 2/a^6 - 4/a^4 + a^(-2) - 3*a^2 + a^4 + 6*z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3616] -> 
  -1 + a^(-8) - a^(-6) - 2/a^4 + 4/a^2 - a^2 + a^4 - 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 3617] -> 3*a^2 - 3*a^4 - a^6 + 4*a^8 - 2*a^10 - 
   2*z^2 + 8*a^2*z^2 - 5*a^4*z^2 - 6*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 3618] -> 
  1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 3619] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3620] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 8*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 3621] -> -4 - a^(-4) + 4/a^2 + a^2 + 
   2*a^4 - a^6 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3622] -> -8 - 2/a^4 + 5/a^2 + 11*a^2 - 5*a^4 - 
   26*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 - 32*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3623] -> -2 - a^(-4) + 2/a^2 + 2*a^2 + 2*a^4 - 
   2*a^6 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3624] -> 3*a^6 - 3*a^8 + 5*a^10 - 6*a^12 + 2*a^14 + 
   2*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 16*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + 17*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 3625] -> a^4 + a^6 - a^8 + 2*a^10 - 3*a^12 + a^14 + 
   a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 
   a^2*z^4 - a^8*z^4 + 5*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, Alternating, 3626] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3627] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3628] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   3*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3629] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2/a^4 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3630] -> 
  2 - 4*a^4 + 4*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3631] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 3632] -> 
  1 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3633] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 3634] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3635] -> 1 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3636] -> 
  -1 + a^(-4) + a^4 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3637] -> 
  a^(-4) - a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3638] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 9*a^4*z^2 + 19*a^6*z^2 - 
   13*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 26*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3639] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   11*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 
   26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3640] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   14*a^6*z^2 - 18*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 
   21*a^6*z^4 - 25*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 3641] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   15*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 20*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3642] -> 1 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3643] -> a^(-2) - a^2 + a^4 - z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4/a^4 + 
   (5*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3644] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3645] -> 
  -5 + 3/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3646] -> 
  -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3647] -> -2 + 2/a^2 + a^4 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3648] -> 4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3649] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 2*z^2 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 5*a^4*z^4 - 3*a^6*z^4 - 
   3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3650] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3651] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 + 
   z^2/a^6 - z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3652] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3653] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3654] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^2 - 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 3655] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3656] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 - a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3657] -> -4 + 3/a^2 + a^2 + a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3658] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   7*a^2*z^2 - 21*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 
   27*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3659] -> 1 + a^2 - a^4 - a^6 + a^8 - 2*z^2 + 
   3*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3660] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 7*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 3661] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 3662] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3663] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3664] -> 2 - a^2 - a^6 + a^8 - z^2 + a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3665] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   2*a^4*z^2 + 9*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 8*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 3666] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 26*z^2 + 
   (9*z^2)/a^2 + 23*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 35*z^4 + (10*z^4)/a^2 + 
   28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3667] -> -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 + 
   (5*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3668] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3669] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3670] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + (6*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - 
   (10*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3671] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - z^2/a^12 + (11*z^2)/a^10 - 
   (14*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (5*z^4)/a^10 - (14*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3672] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3673] -> 2*a^2 - 2*a^6 + a^8 - 4*z^2 + z^2/a^2 + 
   4*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3674] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3675] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + 
   (6*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3676] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3677] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3678] -> -1 - a^(-6) - 2/a^4 + 6/a^2 - a^2 - 
   (3*z^2)/a^6 + (12*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 3679] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - z^2 - z^2/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4/a^8 + 
   (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 3680] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 + 
   (7*z^4)/a^8 - (5*z^4)/a^6 - (26*z^4)/a^4 + (12*z^4)/a^2 + (5*z^6)/a^8 - 
   (11*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 3681] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3682] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 5*z^2 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3683] -> 1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + a^2 - 
   z^2 + z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 3684] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3685] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^16 - (6*z^2)/a^14 - (4*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (3*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 3686] -> a^(-14) - 4/a^12 + 3/a^10 + a^(-4) - 
   (5*z^2)/a^12 + (9*z^2)/a^10 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (7*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3687] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 3688] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3689] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 3690] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   z^2 - z^2/a^2 + 8*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3691] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 4*z^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   15*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3692] -> -2 + 4*a^2 - a^8 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3693] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 3694] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   15*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 6*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 3695] -> 2 - a^(-4) + 2*a^2 - 2*a^4 - 5*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 15*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3696] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 2*z^2 - 
   z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3697] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 3698] -> a^(-16) - 2/a^14 - 2/a^12 + 
   2/a^10 + 2/a^8 + (2*z^2)/a^16 - (11*z^2)/a^14 + z^2/a^12 + (13*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + (13*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 3699] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) + z^2/a^16 - (8*z^2)/a^14 + 
   (5*z^2)/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 3700] -> 
  3 - a^(-2) + a^2 - 5*a^4 + 4*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 3701] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (20*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3702] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3703] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 
   7*a^4*z^2 + 19*a^6*z^2 + 5*a^8*z^2 - 7*a^10*z^2 - 9*a^4*z^4 + 22*a^6*z^4 + 
   15*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 3704] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + 
   a^2 - 23*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 7*a^2*z^2 - 
   33*z^4 + z^4/a^6 - (10*z^4)/a^4 + (31*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 3705] -> -a^2 + 3*a^4 - 2*a^6 + 4*a^8 - 
   3*a^10 - 3*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 - 
   3*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 2*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 3706] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 
   3*a^4 - 24*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 
   29*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 3707] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + a^6*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3708] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + (6*z^4)/a^10 - (15*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3709] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 3710] -> a^(-14) - 4/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) + z^2/a^16 - (4*z^2)/a^14 - (4*z^2)/a^12 + (9*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + (3*z^4)/a^12 + (12*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 3711] -> a^(-14) - 4/a^12 + 4/a^10 - 
   2/a^8 + a^(-6) + a^(-4) - (5*z^2)/a^12 + (11*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (10*z^4)/a^10 - (11*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 + z^6/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3712] -> 
  a^(-10) - 6/a^8 + 6/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (20*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - (10*z^4)/a^8 + (22*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (12*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3713] -> 1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + a^2 - 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3714] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (20*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3715] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (21*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3716] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (21*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (6*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3717] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 4*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (24*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (26*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (6*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[14, Alternating, 3718] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 9*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3719] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 3*a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 + 
   3*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3720] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (22*z^2)/a^4 + (20*z^2)/a^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (23*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3721] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (27*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - (25*z^4)/a^4 + (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3722] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 29*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (26*z^2)/a^2 + 10*a^2*z^2 - 37*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (28*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3723] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 23*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3724] -> -3*a^4 + 10*a^6 - 6*a^8 - 8*a^4*z^2 + 
   26*a^6*z^2 - 6*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 - 6*a^4*z^4 + 26*a^6*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3725] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 6/a^10 + 2/a^8 + z^2/a^16 + z^2/a^14 - 
   (20*z^2)/a^12 + (21*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (7*z^4)/a^14 - 
   (5*z^4)/a^12 + (27*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 3726] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (13*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3727] -> 
  -3/a^10 + 3/a^8 + a^(-6) + z^2/a^16 - (4*z^2)/a^14 + z^2/a^12 - z^2/a^10 + 
   (9*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 3728] -> 2 + a^(-10) - 5/a^8 + 10/a^6 - 
   8/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - 
   (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (9*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3729] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3730] -> -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 
   12*a^4*z^2 + 35*a^6*z^2 - 12*a^8*z^2 - 3*a^10*z^2 - 13*a^4*z^4 + 
   36*a^6*z^4 + 5*a^8*z^4 - 8*a^10*z^4 - 6*a^4*z^6 + 21*a^6*z^6 + 
   12*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 3731] -> 
  -2*a^2 + 6*a^4 - 3*a^6 + a^8 - a^10 - 5*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 + 
   8*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 + a^6*z^4 + 10*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3732] -> 
  -11 + 3/a^2 + 15*a^2 - 6*a^4 - 32*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   33*a^2*z^2 - 9*a^4*z^2 - 37*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3733] -> -1 + a^(-2) - 2*a^2 + 6*a^4 - 3*a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3734] -> -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 
   11*a^4*z^2 + 34*a^6*z^2 - 13*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - 
   6*a^4*z^4 + 32*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   15*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3735] -> -11 + 3/a^2 + 15*a^2 - 6*a^4 - 31*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 34*a^2*z^2 - 10*a^4*z^2 - 33*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 37*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3736] -> -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 26*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 33*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3737] -> -3 - a^(-6) + a^(-4) + 2/a^2 + 
   3*a^2 - a^4 - 7*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3738] -> 2/a^10 - 7/a^8 + 9/a^6 - 6/a^4 + 3/a^2 + 
   (4*z^2)/a^10 - (17*z^2)/a^8 + (27*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (32*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 3739] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3740] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3741] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 3742] -> 
  -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - a^4 - 11*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 3743] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - z^2/a^6 - z^2/a^4 + 
   (12*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 3744] -> 
  -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 - z^2/a^6 + (6*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 3745] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3746] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 25*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (27*z^2)/a^2 + 8*a^2*z^2 - 34*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (30*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3747] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (28*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (30*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3748] -> 
  -a^2 + a^4 + 5*a^6 - 4*a^8 - 3*a^2*z^2 + a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 - 
   a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3749] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3750] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (27*z^2)/a^4 + (17*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (31*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3751] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2/a^12 + (5*z^2)/a^10 - 
   (12*z^2)/a^8 + (9*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 + (12*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3752] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 3753] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 9*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3754] -> -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 
   9*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   14*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3755] -> -1 + 2*a^2 + a^4 - a^6 + a^8 - a^10 - 2*z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - z^4 + 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 3756] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 3757] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 3758] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 10*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - 
   a^10*z^2 - z^4 - 2*a^2*z^4 + 9*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 3759] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3760] -> -4 + 2/a^2 + 3*a^2 + 2*a^4 - 
   3*a^6 + a^8 - 9*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3761] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - 2*a^6 + a^8 - 4*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 3762] -> 2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3763] -> 3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 - z^2 + 
   7*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 3*z^4 + 
   6*a^2*z^4 - 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 3764] -> 
  1 - a^4 + a^6 + a^8 - a^10 + z^2 + a^2*z^2 - 3*a^4*z^2 + 3*a^8*z^2 - 
   z^4/a^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 3765] -> -6 - 2/a^4 + 7/a^2 - a^2 + 5*a^4 - 2*a^6 - 
   7*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 
   z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3766] -> a^(-10) - 2/a^8 + 3/a^4 - 2/a^2 + a^2 - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 3767] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 
   4*a^4 - 22*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 
   29*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 3768] -> 
  -2 - a^(-4) + 2/a^2 + 3*a^2 - a^6 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3769] -> 
  3*a^6 - 4*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + a^4*z^2 + 8*a^6*z^2 - 
   10*a^8*z^2 + 20*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 3*a^4*z^4 + 
   4*a^6*z^4 - 11*a^8*z^4 + 19*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   8*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 3770] -> a^4 + a^8 + a^10 - 3*a^12 + a^14 + 
   4*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 5*a^10*z^2 - 4*a^12*z^2 + a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 5*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   2*a^8*z^6, Knot[14, Alternating, 3771] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3772] -> 
  a^2 + a^6 - a^8 + z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 3773] -> 
  3*a^2 - 5*a^4 + 8*a^6 - 8*a^8 + 3*a^10 + 7*a^2*z^2 - 17*a^4*z^2 + 
   23*a^6*z^2 - 21*a^8*z^2 + 7*a^10*z^2 + 5*a^2*z^4 - 23*a^4*z^4 + 
   28*a^6*z^4 - 24*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 12*a^4*z^6 + 19*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 3774] -> 1 + 2*a^6 - 4*a^8 + 2*a^10 + 2*z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 + z^4 - 
   5*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 3775] -> -3 - 2/a^8 + 5/a^6 - 8/a^4 + 9/a^2 - 7*z^2 - 
   (4*z^2)/a^8 + (16*z^2)/a^6 - (24*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (31*z^4)/a^4 + (25*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (20*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3776] -> 
  1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 4*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3777] -> 
  2 - 3*a^2 + 5*a^4 - 4*a^6 + a^10 + 3*z^2 - 8*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + z^4 - 7*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 3778] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3779] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^8 + a^10 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 3780] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   z^4 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, Alternating, 3781] -> 2 - 4/a^8 + 10/a^6 - 7/a^4 + 
   3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (13*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 3782] -> -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + 
   a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3783] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3784] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3785] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - 
   a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 3786] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 3787] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3788] -> -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 3789] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 3790] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 
   4*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3791] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 3792] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3793] -> 3*a^4 - 2*a^6 - a^2*z^2 + 
   6*a^4*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 
   5*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 3794] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - 
   a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 3795] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3796] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3797] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3798] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - 5*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3799] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 3800] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3801] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3802] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^6 - z^2/a^2 - a^2*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 3803] -> 1 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 3804] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 7*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3805] -> 
  1 - 7*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 18*z^4 + 
   (6*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3806] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3807] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3808] -> a^(-2) - a^2 + a^4 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 3809] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3810] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 + a^2*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + 
   4*a^2*z^4 - 14*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   14*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 3811] -> 2*a^2 - a^4 + a^6 - 2*a^8 + 
   a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3812] -> 
  -1 + a^(-4) + a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3813] -> 
  -2 + 2/a^2 + a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 3814] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - z^2/a^12 + (11*z^2)/a^10 - 
   (14*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (7*z^4)/a^10 - 
   (22*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3815] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 + 
   (8*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3816] -> -a^(-12) + a^(-8) + a^(-4) + z^2/a^12 + 
   (3*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3817] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + z^2 + z^2/a^12 + 
   (3*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (4*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 3818] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3819] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3820] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3821] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3822] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 3823] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 3824] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 4*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3825] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) - 
   z^2 - (7*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3826] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (23*z^2)/a^6 - (7*z^2)/a^4 + 2*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3827] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-6) - a^(-4) + a^(-2) + z^2 - (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (5*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 3828] -> -2/a^12 + 9/a^10 - 13/a^8 + 5/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (17*z^2)/a^10 - (28*z^2)/a^8 + (9*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 + (10*z^4)/a^10 - (27*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3829] -> -a^(-12) + 3/a^10 - a^(-8) - 
   4/a^6 + 3/a^4 + a^(-2) + (5*z^2)/a^10 - (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (6*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3830] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3831] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 7*z^2 - z^2/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3832] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (24*z^4)/a^6 - (24*z^4)/a^4 + (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3833] -> 
  -1 + 7*a^2 - 8*a^4 + 3*a^6 - 6*z^2 + 20*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3834] -> 
  4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 6*z^2 - (3*z^2)/a^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3835] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 13*z^2 + 
   (4*z^2)/a^6 - (22*z^2)/a^4 + (36*z^2)/a^2 - 12*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (25*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (24*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3836] -> -2*a^4 + 8*a^6 - 5*a^8 - 6*a^4*z^2 + 
   23*a^6*z^2 - 8*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 24*a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3837] -> 
  -a^2 + 3*a^4 - a^10 - 2*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - a^10*z^2 - z^4 - 
   a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 3838] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3839] -> 
  -13 + 4/a^2 + 16*a^2 - 6*a^4 - 36*z^2 - z^2/a^4 + (13*z^2)/a^2 + 
   35*a^2*z^2 - 9*a^4*z^2 - 40*z^4 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   30*a^2*z^4 - 5*a^4*z^4 - 23*z^6 - z^6/a^4 + (9*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3840] -> -3 + 2/a^2 - a^2 + 6*a^4 - 3*a^6 - 8*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3841] -> 2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) + 
   z^2/a^14 - (11*z^2)/a^12 + (13*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (16*z^4)/a^10 - (3*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (5*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3842] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (5*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + z^2/a^2 + (5*z^4)/a^10 + z^4/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3843] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3844] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3845] -> 2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - 
   a^(-2) + (2*z^2)/a^10 - (16*z^2)/a^8 + (22*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - z^4/a^10 - (9*z^4)/a^8 + (24*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3846] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (12*z^2)/a^10 - 
   (21*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (7*z^4)/a^10 - 
   (24*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3847] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + 
   a^(-2) + (6*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3848] -> 
  -9 + 2/a^2 + 15*a^2 - 8*a^4 + a^6 - 22*z^2 + (5*z^2)/a^2 + 34*a^2*z^2 - 
   17*a^4*z^2 + 3*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3849] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 3850] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3851] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3852] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + (20*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 3853] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 3854] -> -2 + 9*a^2 - 12*a^4 + 9*a^6 - 
   3*a^8 - 5*z^2 + 21*a^2*z^2 - 29*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 
   20*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 3855] -> 4 - a^(-2) - 4*a^2 + 2*a^4 + 
   a^6 - a^8 + 8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3856] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   23*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3857] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 
   25*z^2 - z^2/a^4 + (9*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 - 29*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3858] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 
   27*z^2 - z^2/a^4 + (9*z^2)/a^2 + 29*a^2*z^2 - 9*a^4*z^2 - 30*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3859] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (24*z^2)/a^14 + (15*z^2)/a^12 + (16*z^2)/a^10 + 
   (3*z^2)/a^8 + z^4/a^16 - (19*z^4)/a^14 + (26*z^4)/a^12 + (26*z^4)/a^10 + 
   (7*z^4)/a^8 - (4*z^6)/a^14 + (16*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 3860] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (10*z^2)/a^14 + 
   (2*z^2)/a^12 + (13*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 3861] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   z^2/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (14*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 3862] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) - (4*z^2)/a^14 + 
   (2*z^2)/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 3863] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (4*z^2)/a^12 - (10*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 + (7*z^4)/a^12 - 
   (12*z^4)/a^10 - (6*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 3864] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 3865] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + 4*a^4*z^2 - 
   a^6*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3866] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + 
   z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 - 
   (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3867] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 - 
   z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3868] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 12*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + 
   (27*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3869] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3870] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 + 2*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3871] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3872] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 9*z^4 + z^4/a^4 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 3873] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 3874] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3875] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3876] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (13*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3877] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 19*a^2*z^2 - 23*a^4*z^2 + 
   15*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 26*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3878] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3879] -> -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 - z^2/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 3880] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 4*z^2 + 16*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 11*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3881] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - z^2/a^2 + 
   12*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3882] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3883] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3884] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3885] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - z^2 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3886] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3887] -> -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 
   6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 3888] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3889] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3890] -> 
  1 - 2/a^8 + 7/a^6 - 10/a^4 + 6/a^2 - a^2 + 3*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 3891] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^6 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 3892] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 11*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3893] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3894] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3895] -> 
  -2*a^2 + 5*a^4 + a^6 - 4*a^8 + a^10 - 5*a^2*z^2 + 10*a^4*z^2 + 8*a^6*z^2 - 
   7*a^8*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 12*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3896] -> 
  -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 
   a^10*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 3897] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 9*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3898] -> -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 
   3*a^2*z^2 + 2*a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   22*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 3899] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   5*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (28*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3900] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3901] -> 
  -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 3*a^2*z^2 + 4*a^4*z^2 + 14*a^6*z^2 - 
   8*a^8*z^2 - z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 3902] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3903] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3904] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (25*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 3905] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3906] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (19*z^2)/a^4 + 
   (20*z^2)/a^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - (23*z^4)/a^4 + 
   (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3907] -> 
  -2/a^12 + 5/a^10 - 4/a^8 - a^(-6) + 3/a^4 + (9*z^2)/a^10 - (12*z^2)/a^8 + 
   (7*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - (16*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3908] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3909] -> a^(-14) - 5/a^12 + 8/a^10 - 4/a^8 - 3/a^6 + 
   4/a^4 - (3*z^2)/a^12 + (13*z^2)/a^10 - (11*z^2)/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (14*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3910] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2/a^12 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3911] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^12 - z^2/a^8 + z^2/a^6 - 
   z^2/a^4 - z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 3912] -> 1 - 4/a^8 + 10/a^6 - 8/a^4 + 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - (18*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3913] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 3914] -> 
  6*a^6 - 10*a^8 + 8*a^10 - 3*a^12 - 3*a^4*z^2 + 23*a^6*z^2 - 27*a^8*z^2 + 
   18*a^10*z^2 - 4*a^12*z^2 - 7*a^4*z^4 + 31*a^6*z^4 - 32*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 20*a^6*z^6 - 17*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 3915] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 - a^2*z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 + 3*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 3916] -> 
  4*a^4 - 6*a^6 + 4*a^8 - a^12 - 2*a^2*z^2 + 11*a^4*z^2 - 9*a^6*z^2 + 
   2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - 
   5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 3917] -> 
  2*a^2 - 2*a^4 + a^6 + a^10 - a^12 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - z^4 + 2*a^2*z^4 - a^4*z^4 - 
   3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[14, Alternating, 3918] -> 
  2 + a^2 - 7*a^4 + 7*a^6 - 2*a^8 - z^2 + 7*a^2*z^2 - 21*a^4*z^2 + 
   18*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3919] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3920] -> 1 + a^(-2) - 2*a^2 - a^4 + 
   3*a^6 - a^8 + 2*z^2 - z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3921] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3922] -> -1 + 7*a^2 - 8*a^4 + 3*a^6 - 7*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3923] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3924] -> 3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 
   4*z^2 - z^2/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3925] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3926] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 3927] -> a^2 - a^4 + 5*a^6 - 6*a^8 + 2*a^10 + 
   3*a^2*z^2 - 10*a^4*z^2 + 21*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 19*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 3928] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 3929] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3930] -> 
  a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 15*a^6*z^2 - 21*a^8*z^2 + 
   13*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 21*a^6*z^4 - 26*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 3931] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 3932] -> -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3933] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 3934] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 3935] -> -2 + a^(-4) + 2*a^2 - 4*z^2 - z^2/a^4 + 
   z^2/a^2 + 3*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3936] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 3937] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3938] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 3939] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 3940] -> 4 - 2/a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3941] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 3942] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 3943] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3944] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 3945] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3946] -> 
  -5 + 3/a^2 + 3*a^2 - 15*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3947] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (17*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (7*z^4)/a^10 - 
   (23*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3948] -> -2 + 2/a^2 + a^4 - 9*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 3949] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + z^2/a^12 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3950] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 3951] -> 
  -a^(-10) + a^(-8) + a^(-2) - z^2 - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 3952] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 3953] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3954] -> 4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 3955] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 3956] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3957] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + z^4 + z^4/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 3958] -> 
  1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (14*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3959] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - 
   z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + (3*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3960] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3961] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3962] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 14*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 3963] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3964] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 + 
   2*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 
   11*a^6*z^4 - 3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 3965] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 
   4*a^4 - 25*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 - 
   29*z^4 - z^4/a^4 + (10*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 3966] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   12*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3967] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 22*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3968] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 3*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 3969] -> 2 - 2/a^4 + 2/a^2 - a^4 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 3970] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3971] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (18*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 + (10*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 3972] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 3973] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 3974] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 3975] -> -2/a^12 + 5/a^10 - 4/a^8 + a^(-4) + a^(-2) - 
   z^2/a^12 + (8*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + (3*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 3976] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 3977] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 3978] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (17*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 3979] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (17*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3980] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (20*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3981] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 26*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   27*a^2*z^2 - 9*a^4*z^2 - 29*z^4 - z^4/a^4 + (10*z^4)/a^2 + 35*a^2*z^4 - 
   10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 3982] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   12*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3983] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3984] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (25*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3985] -> -10 - 3/a^4 + 10/a^2 + 4*a^2 - 31*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (25*z^2)/a^2 + 11*a^2*z^2 - 38*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (27*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3986] -> a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (26*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - (26*z^4)/a^4 + (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3987] -> 
  -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 2*a^4*z^2 + 17*a^6*z^2 - 6*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 20*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 3988] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 3989] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   24*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 3990] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 17*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 3991] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 3992] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 3993] -> 
  2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 18*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 3994] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   13*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   15*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 3995] -> -1 - a^(-2) + 8*a^2 - 6*a^4 + a^6 - 4*z^2 - 
   z^2/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 3996] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 3*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 3997] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (27*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (29*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 3998] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 27*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (26*z^2)/a^2 + 9*a^2*z^2 - 35*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 3999] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4000] -> -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 - z^2/a^6 + 
   (8*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 4001] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 12*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^4 - z^4/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 4002] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 4003] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4004] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4005] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 4006] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4007] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4008] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 4009] -> 2 - 2*a^2 + a^4 + 3*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4010] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 4011] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4012] -> -1 + a^(-2) + a^2 - z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + 2*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 4013] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   z^2/a^6 - z^2/a^2 - a^2*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 4014] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4015] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4016] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4017] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 - (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4018] -> -1 - 2/a^4 + 4/a^2 - z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4019] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + z^2 + z^2/a^10 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4020] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 4021] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4022] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 7*a^2*z^2 - 
   19*a^4*z^2 + 23*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 7*a^2*z^4 - 
   26*a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4023] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4024] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 13*z^2 + 
   (5*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4025] -> 
  -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) + (8*z^2)/a^10 - (8*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (10*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4026] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4027] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4028] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4029] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + z^2 + 
   z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 4030] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4031] -> 
  -1 - a^(-6) - 2/a^4 + 6/a^2 - a^2 - (3*z^2)/a^6 + (12*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 4032] -> a^(-16) + a^(-14) - 9/a^12 + 
   7/a^10 + a^(-8) + (2*z^2)/a^16 - (6*z^2)/a^14 - (15*z^2)/a^12 + 
   (25*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + z^4/a^12 + 
   (33*z^4)/a^10 + (6*z^4)/a^8 - (4*z^6)/a^14 + (9*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 4033] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4034] -> -2 - 3/a^4 + 6/a^2 - 10*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (23*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4035] -> 3 - a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + 4*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4036] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4037] -> 4 - 2/a^4 + a^(-2) - a^2 - a^4 + 6*z^2 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4038] -> 
  1 - 3/a^8 + 6/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4039] -> 
  -2/a^12 + 7/a^10 - 9/a^8 + 3/a^6 + 2/a^4 - (2*z^2)/a^12 + (14*z^2)/a^10 - 
   (20*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (9*z^4)/a^10 - 
   (22*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4040] -> -2/a^12 + 5/a^10 - 3/a^8 - 2/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (8*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + (3*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4041] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 4042] -> -a^(-10) + a^(-8) + a^(-2) + 
   (2*z^2)/a^8 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4043] -> -a^(-4) + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4044] -> 
  -11 - 4/a^4 + 12/a^2 + 4*a^2 - 33*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (31*z^2)/a^2 + 11*a^2*z^2 - 39*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (31*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4045] -> -5 - 2/a^6 + 4/a^4 + a^(-2) + 3*a^2 - 
   11*z^2 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 4046] -> 4*a^6 - 3*a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4047] -> 
  2*a^4 - a^6 + a^8 - a^10 - z^2 + a^2*z^2 + 4*a^4*z^2 + 2*a^8*z^2 - 
   a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 4048] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 8*z^2 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4049] -> 2 - a^(-2) + a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4050] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   17*z^2 + z^2/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4051] -> 5 - 2/a^2 - 2*a^2 + 6*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4052] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 
   8/a^2 - 5*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + (20*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 4053] -> 
  4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4054] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (19*z^4)/a^6 - (23*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 4055] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 4056] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4057] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4058] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 14*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4059] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 15*a^2*z^2 - 24*a^4*z^2 + 
   18*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 26*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4060] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4061] -> -2 + a^(-4) + 2*a^2 - 10*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4062] -> 3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4063] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   4*a^4*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 4064] -> 
  -1 - a^(-6) + 2/a^4 + a^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 4065] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4066] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4067] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4068] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4069] -> 1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4070] -> 
  a^2 + 3*a^6 - 5*a^8 + 2*a^10 + a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 - 
   12*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 19*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4071] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 14*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 
   26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4072] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4073] -> -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4074] -> 1 + 2*a^2 - 7*a^4 + 8*a^6 - 3*a^8 + 
   7*a^2*z^2 - 21*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 
   27*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4075] -> 3*a^4 - 5*a^8 + 4*a^10 - a^12 - a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 8*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 4076] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 4077] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 20*z^2 + (6*z^2)/a^2 + 20*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 4078] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 + (6*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 4079] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 4*z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4080] -> -3 - 2/a^4 + 5/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4081] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4082] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4083] -> 2 - 2*a^2 + a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4084] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 4085] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 
   2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4086] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4087] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4088] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 4089] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4090] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 7*a^2*z^2 - 17*a^4*z^2 + 
   18*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 7*a^2*z^4 - 25*a^4*z^4 + 
   22*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4091] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4092] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (11*z^2)/a^10 - (14*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (5*z^4)/a^10 - (14*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4093] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4094] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4095] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - 7*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4096] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + z^4/a^2 + 18*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4097] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4098] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + 
   z^2/a^10 + z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4099] -> a^(-2) - a^4 + a^6 - 4*z^2 + 8*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + z^4/a^2 + 17*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4100] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 4101] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   19*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4102] -> 2 + a^(-4) - 2/a^2 + a^2 - 
   2*a^4 + a^6 + 6*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   6*z^4 + z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4103] -> a^(-4) - a^(-2) + a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4104] -> 
  -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 11*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4105] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4106] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4107] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 17*z^2 + (5*z^2)/a^2 + 23*a^2*z^2 - 
   16*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4108] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4109] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4110] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4111] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4112] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 19*z^2 + 
   (6*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4113] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4114] -> -10 + 4/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 
   23*z^2 + (6*z^2)/a^2 + 28*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 21*z^4 + 
   (4*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4115] -> 4 + 2/a^4 - 4/a^2 - a^2 - a^4 + 
   a^6 + 8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4116] -> 2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4117] -> 1 + a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 - a^2 + 
   a^4 + 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 4118] -> -4 + 2/a^6 - 6/a^4 + 8/a^2 + a^4 - 8*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 + z^4/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4119] -> 2 - a^(-8) + 5/a^6 - 8/a^4 + 4/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4120] -> -2 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + a^4 - 
   6*z^2 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 4121] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4122] -> -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 17*z^2 + 
   (4*z^2)/a^2 + 26*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4123] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 3*z^2 - 
   4*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   5*a^2*z^4 - 10*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4124] -> a^(-8) - 2/a^6 + a^(-4) + a^(-2) - a^2 + 
   a^4 + 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 4125] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 + 
   5*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 
   15*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 9*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4126] -> 1 - a^(-2) + a^2 + a^4 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 4127] -> 
  3 - 2/a^4 + 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 5*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4128] -> 
  1 - a^(-6) + a^(-4) + a^4 - a^6 + z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 4129] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 3*z^2 - z^2/a^2 + 6*a^2*z^2 + 10*a^4*z^2 - 
   4*a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 4130] -> 5 - a^(-4) - a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + 
   9*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 
   4*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4131] -> 2 - 2/a^4 + 2/a^2 - a^2 + a^4 - a^6 + 2*z^2 - 
   z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 4132] -> 3/a^16 - 7/a^14 + 3/a^12 - a^(-10) + 3/a^8 + 
   (4*z^2)/a^16 - (18*z^2)/a^14 + (9*z^2)/a^12 + (5*z^2)/a^10 + 
   (10*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (15*z^4)/a^12 + (14*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^6)/a^14 + (10*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 4133] -> 2/a^16 - 4/a^14 + a^(-10) + a^(-8) + a^(-6) + 
   z^2/a^16 - (7*z^2)/a^14 + (6*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^4)/a^14 + (3*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4134] -> a^(-16) - a^(-14) - 3/a^12 + 3/a^10 - 
   a^(-8) + 2/a^6 + z^2/a^16 - (5*z^2)/a^14 - (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^14 + (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 4135] -> a^(-16) - 2/a^14 + a^(-8) + 
   a^(-4) - (3*z^2)/a^14 + z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 4136] -> 
  5 - a^(-8) + 3/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 9*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4137] -> 1 - a^(-8) + 2/a^6 - 2/a^2 + 2*a^2 - a^4 + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 + (2*z^4)/a^6 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 4138] -> 3 - 2/a^4 + 2/a^2 - 4*a^2 + 
   4*a^4 - 2*a^6 + 5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 4139] -> 5 - a^(-8) + 3/a^6 - 3/a^4 - 
   a^(-2) - 2*a^2 + 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 4*a^2*z^2 + 
   9*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4140] -> 4*a^6 - 3*a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4141] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + 4*z^4 - z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 4142] -> 3 + a^(-6) - 3/a^2 + 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4143] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 
   8*z^4 - (3*z^4)/a^6 - (5*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + 
   (6*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 4144] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 + 
   3*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 4145] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 + z^4/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 4146] -> 2 + 2/a^6 - 3/a^4 + z^2 - (3*z^2)/a^4 - 
   a^2*z^2 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 4147] -> 
  -5 + a^(-6) - 4/a^4 + 8/a^2 - a^2 + 2*a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4148] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + a^6 + 3*z^2 - (3*z^2)/a^4 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 4149] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 19*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4150] -> 
  2*a^4 - a^6 + a^10 - a^12 - a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 4*a^10*z^2 - 
   a^12*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4151] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4152] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4153] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 
   3*z^2 + z^2/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4154] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4155] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + a^6 + z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 + z^4/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 4156] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 4157] -> 1 + a^2 - 2*a^4 + 2*a^8 - a^10 + 
   z^2 - a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 4158] -> a^(-4) - a^(-2) + 2*a^2 - a^4 - a^6 + a^8 + 
   2*z^2 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[14, Alternating, 4159] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 6*z^2 - z^2/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 4160] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 22*a^2*z^2 - 19*a^4*z^2 + 6*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4161] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 3*z^2 + 
   15*a^2*z^2 - 21*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 
   26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4162] -> -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 
   5*z^2 + 22*a^2*z^2 - 29*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 6*z^4 + 
   25*a^2*z^4 - 32*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   16*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4163] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 
   3*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 
   3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 4164] -> 
  2 - a^2 - a^4 + 2*a^8 - a^10 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 - 6*a^2*z^4 + 5*a^4*z^4 - 
   6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 4165] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 4166] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   5*a^4*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4167] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (12*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - 
   (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4168] -> -a^(-12) + a^(-10) + a^(-2) + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (8*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4169] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 26*z^2 - (7*z^2)/a^4 + (23*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 31*z^4 - (9*z^4)/a^4 + (32*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 16*z^6 - (5*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4170] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 5*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 4171] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   5*z^2 + 17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   24*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4172] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4173] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + 
   5*a^2*z^2 - 16*a^4*z^2 + 26*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 23*a^4*z^4 + 29*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 4174] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 + 2*z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   2*z^4 - 6*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4175] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + a^(-6) + 2/a^4 - (5*z^2)/a^12 + 
   (17*z^2)/a^10 - (16*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + 
   (11*z^4)/a^10 - (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4176] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) + 
   z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4177] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 4178] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4179] -> 2 - 3*a^2 + 3*a^4 - a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4180] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4181] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - 2*a^2*z^2 + 
   6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4182] -> 2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4183] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   2*z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (3*z^4)/a^4 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4184] -> -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 
   7*z^2 + 27*a^2*z^2 - 34*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 
   33*a^2*z^4 - 36*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 
   17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4185] -> 2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 - 
   2*z^2 + 7*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 4186] -> 
  -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 19*a^2*z^2 - 24*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 25*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4187] -> 
  -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 5*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4188] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4189] -> -2/a^8 + 5/a^6 - 3/a^4 + a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4190] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 4191] -> 4 - a^(-2) - 4*a^2 + a^4 + 3*a^6 - 
   2*a^8 + 9*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + 8*z^4 - (3*z^4)/a^2 - a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4192] -> 1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 4193] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4194] -> 
  a^(-10) - 3/a^8 + 3/a^6 - a^(-2) + a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4195] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   4*z^2 - z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 4196] -> 
  2/a^10 - 6/a^8 + 2/a^6 + 5/a^4 - 2/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (10*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^10 - (6*z^4)/a^8 + 
   (13*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4197] -> -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 
   2/a^2 - 2*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4 - z^4/a^10 + (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4198] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - z^4/a^10 - (5*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4199] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^6 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4200] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 4201] -> -2 - 2/a^4 + 4/a^2 + 3*a^4 - 
   2*a^6 - 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 3*z^4 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4202] -> 2 - a^(-6) + 2/a^4 - 2/a^2 + a^4 - a^6 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + (2*z^4)/a^4 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 4203] -> 3/a^10 - 9/a^8 + 7/a^6 + (3*z^2)/a^10 - 
   (17*z^2)/a^8 + (21*z^2)/a^6 - (4*z^2)/a^4 - (3*z^4)/a^10 - (6*z^4)/a^8 + 
   (23*z^4)/a^6 - (8*z^4)/a^4 - (4*z^6)/a^10 + (6*z^6)/a^8 + (15*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 4204] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4205] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (3*z^2)/a^10 - (17*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^2 - z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (3*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 4206] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4207] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4208] -> 
  3 - a^(-4) - 2*a^2 + 3*a^4 - 2*a^6 + 2*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4209] -> 
  -2/a^4 + 3/a^2 + a^4 - a^6 - z^2/a^6 + (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 4210] -> 
  3/a^16 - 8/a^14 + 5/a^12 - 2/a^10 + 3/a^8 + (4*z^2)/a^16 - (21*z^2)/a^14 + 
   (16*z^2)/a^12 + (2*z^2)/a^10 + (10*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (20*z^4)/a^12 + (13*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^14 + 
   (11*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 4211] -> 
  2/a^16 - 5/a^14 + 2/a^12 + a^(-8) + a^(-6) + z^2/a^16 - (8*z^2)/a^14 + 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + 
   (4*z^4)/a^12 + (11*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4212] -> 
  a^(-16) - 2/a^14 - a^(-12) + 2/a^10 - a^(-8) + 2/a^6 + z^2/a^16 - 
   (6*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^14 + (4*z^4)/a^12 + (8*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4213] -> a^(-16) - 3/a^14 + 2/a^12 - a^(-10) + 
   a^(-8) + a^(-4) - (3*z^2)/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 4214] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 - z^2 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - z^4 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4215] -> -4 + 10*a^2 - 5*a^4 - 14*z^2 + (2*z^2)/a^2 + 
   29*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4216] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4217] -> -1 - 2/a^4 + 4/a^2 - 12*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4218] -> 5 - a^(-8) + 4/a^6 - 5/a^4 - 2*a^2 + 9*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4219] -> 1 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 2*a^2 - 
   a^4 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 4220] -> -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4221] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (10*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4222] -> -2 - 2/a^4 + 4/a^2 + 3*a^4 - 2*a^6 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4223] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4224] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4225] -> 
  -2/a^6 + 3/a^4 - z^2/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (16*z^4)/a^6 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4226] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 4227] -> 3 - a^(-2) - a^2 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4228] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 4229] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4230] -> 6 - 2/a^2 - 4*a^2 + a^4 + 5*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4231] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4232] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4233] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4234] -> 3 - 5*a^2 + 4*a^4 - a^6 + 2*z^2 - 7*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 4235] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   7*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 4236] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4237] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 4238] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4239] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   a^6*z^2 + (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 4240] -> 
  2 - 2*a^2 + a^4 - z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4241] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4242] -> 
  2*a^4 - a^8 + 4*a^4*z^2 - a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4243] -> 
  2 - 2*a^2 + a^4 - z^2 + a^2*z^2 - a^4*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4244] -> 1 + 2*a^2 - 4*a^4 + a^6 + 2*a^8 - a^10 + 
   4*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 4245] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4246] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^8 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 4247] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 4248] -> -1 + a^(-2) + a^2 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4249] -> a^(-2) - a^4 + a^6 - 2*z^2 + 4*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + z^4/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4250] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   6*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4251] -> a^2 + a^8 - a^10 + a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4252] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 8*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4253] -> 
  1 - a^6 + 2*a^8 - a^10 + 2*z^2 - a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 - z^4 - 2*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - z^6 + 
   2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 4254] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 
   27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4255] -> 1 - a^6 + 2*a^8 - a^10 + 3*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 
   3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + a^4*z^6 - 
   3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 4256] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 13*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 4257] -> 
  2 - a^(-2) + a^4 - a^6 + 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   3*z^4 + z^4/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4258] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4259] -> 5*a^6 - 5*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 21*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 
   20*a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4260] -> 2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 5*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 4261] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4262] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4263] -> -1 + 4*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + 
   (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4264] -> 1 - a^2 + 2*a^4 - a^6 - z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4265] -> 
  a^2 + a^6 - a^8 - z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   4*z^4 + 12*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4266] -> -2/a^12 + 4/a^10 - 3/a^8 + 
   2/a^4 + (8*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4267] -> -a^(-12) + a^(-10) + a^(-2) + z^2 + 
   z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 4268] -> -1 + 3*a^2 - a^6 - 4*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 4*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 2*a^6*z^4 - 
   3*z^6 + z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 4269] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4270] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 9*z^2 + z^2/a^6 - (6*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4271] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4272] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + z^2/a^2 - a^2*z^2 + a^6*z^2 - 3*z^4 + 
   z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 4273] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 
   12*z^2 + z^2/a^2 + 29*a^2*z^2 - 22*a^4*z^2 + 5*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 37*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4274] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4275] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 9*a^4*z^2 + 21*a^6*z^2 + 7*a^8*z^2 - 
   9*a^10*z^2 - 12*a^4*z^4 + 27*a^6*z^4 + 20*a^8*z^4 - 12*a^10*z^4 - 
   6*a^4*z^6 + 19*a^6*z^6 + 18*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 4276] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 29*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 34*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 28*a^2*z^4 - 8*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 
   20*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4277] -> -a^4 + 4*a^6 - 2*a^10 - 2*a^2*z^2 + 
   12*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 15*a^6*z^4 + 
   6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4278] -> 
  -7 + 4/a^2 + 4*a^2 - 12*z^2 - z^2/a^6 + (3*z^2)/a^4 + 9*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4279] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 7*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (30*z^2)/a^4 + (26*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (17*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4280] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 2*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 4281] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + 
   (2*z^2)/a^16 - (9*z^2)/a^14 - (3*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 + 
   z^4/a^16 - (10*z^4)/a^14 + (5*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 - 
   (3*z^6)/a^14 + (7*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 4282] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (14*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (16*z^4)/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4283] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 
   17*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 
   33*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4284] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4285] -> 
  -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 6*a^4*z^2 + 11*a^6*z^2 + 18*a^8*z^2 - 
   12*a^10*z^2 - 11*a^4*z^4 + 21*a^6*z^4 + 26*a^8*z^4 - 13*a^10*z^4 - 
   6*a^4*z^6 + 18*a^6*z^6 + 19*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 4286] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - a^2*z^2 - 
   4*a^4*z^2 + 18*a^6*z^2 + 2*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 19*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4287] -> 
  5*a^8 - 4*a^10 - a^2*z^2 - a^4*z^2 + 9*a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 4288] -> -a^4 + 4*a^6 - 2*a^10 - 
   2*a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 - a^2*z^4 + 
   5*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 4289] -> 
  -1 + 3*a^2 - 4*a^4 + 7*a^6 - 4*a^8 - 4*z^2 + 14*a^2*z^2 - 19*a^4*z^2 + 
   24*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 29*a^4*z^4 + 26*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4290] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4291] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - 
   (25*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (17*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 4292] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 
   4*a^2*z^2 + 6*a^4*z^2 + 7*a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 
   6*a^4*z^4 + 13*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 4293] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   22*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 7*a^2*z^2 - 32*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (30*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4294] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - z^2 - 
   a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - z^4 + 
   6*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 4295] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 11*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 4296] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - (2*z^2)/a^12 + (12*z^2)/a^10 - (21*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - z^4/a^12 + (11*z^4)/a^10 - (27*z^4)/a^8 + 
   (20*z^4)/a^6 - (4*z^4)/a^4 + (3*z^6)/a^10 - (15*z^6)/a^8 + (15*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 4297] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 14*z^2 - 
   (5*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4298] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (7*z^2)/a^16 - (32*z^2)/a^14 + (19*z^2)/a^12 + (20*z^2)/a^10 + 
   (5*z^4)/a^16 - (40*z^4)/a^14 + (45*z^4)/a^12 + (33*z^4)/a^10 + z^6/a^16 - 
   (19*z^6)/a^14 + (40*z^6)/a^12 + (24*z^6)/a^10 - (3*z^8)/a^14 + 
   (15*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 4299] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 - z^2/a^12 + (21*z^2)/a^10 + (4*z^2)/a^8 + 
   z^4/a^16 - (12*z^4)/a^14 + (8*z^4)/a^12 + (29*z^4)/a^10 + (8*z^4)/a^8 - 
   (3*z^6)/a^14 + (8*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 4300] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (18*z^2)/a^8 + (10*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (13*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4301] -> 2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + 
   (3*z^2)/a^16 - (17*z^2)/a^14 + (12*z^2)/a^12 + (6*z^2)/a^10 + 
   (9*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + (17*z^4)/a^12 + (15*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^6)/a^14 + (10*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 4302] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (6*z^2)/a^14 - (2*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^4)/a^14 + (3*z^4)/a^12 + (12*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4303] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4304] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4305] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 25*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 33*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4306] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 19*z^2 + 
   (4*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   37*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4307] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 9*z^2 - 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4308] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 12*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4309] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   28*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 34*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 28*a^2*z^4 - 8*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 
   20*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4310] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (27*z^2)/a^4 + (21*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (32*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4311] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 23*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (26*z^2)/a^2 + 7*a^2*z^2 - 32*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (31*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4312] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (24*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (29*z^4)/a^6 - (35*z^4)/a^4 + (10*z^4)/a^2 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 4313] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 21*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (27*z^2)/a^2 + 6*a^2*z^2 - 31*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (32*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4314] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (23*z^2)/a^4 + (28*z^2)/a^2 - 10*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (29*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4315] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 4316] -> 
  -4 - a^(-8) + 3/a^6 - 8/a^4 + 11/a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (25*z^2)/a^4 + (34*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (29*z^4)/a^4 + (40*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4317] -> a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - 
   (6*z^2)/a^14 - (16*z^2)/a^12 + (30*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - 
   (9*z^4)/a^14 - (4*z^4)/a^12 + (39*z^4)/a^10 + (5*z^4)/a^8 - (3*z^6)/a^14 + 
   (5*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 4318] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 4319] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4320] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 4*a^2*z^2 + 
   3*a^4*z^2 + 17*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   19*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4321] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - z^2 - 2*a^2*z^2 + 7*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 - z^4 + 7*a^4*z^4 + 7*a^6*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 4322] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 4323] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4324] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   (3*z^2)/a^14 - (19*z^2)/a^12 + (30*z^2)/a^10 - (19*z^2)/a^8 + 
   (12*z^2)/a^6 + z^4/a^14 - (14*z^4)/a^12 + (37*z^4)/a^10 - (26*z^4)/a^8 + 
   (13*z^4)/a^6 - (3*z^6)/a^12 + (18*z^6)/a^10 - (19*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, Alternating, 4325] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 
   2/a^4 + z^2/a^14 - (7*z^2)/a^12 + (7*z^2)/a^10 + (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^4)/a^12 + (9*z^4)/a^10 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, Alternating, 4326] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - (6*z^2)/a^14 - (16*z^2)/a^12 + 
   (30*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (9*z^4)/a^14 - (4*z^4)/a^12 + 
   (39*z^4)/a^10 + (5*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 4327] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (13*z^2)/a^8 + (22*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (11*z^4)/a^8 + (28*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 4328] -> 
  -1 - a^(-6) + 2/a^4 - a^(-2) + 4*a^2 - 2*a^4 - 2*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4329] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 + z^2/a^14 - (9*z^2)/a^12 + 
   (17*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - 
   (12*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4330] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4331] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   11*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 4332] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (21*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - 
   z^4/a^12 + (11*z^4)/a^10 - (27*z^4)/a^8 + (20*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (15*z^6)/a^8 + (15*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 4333] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4334] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 7*z^2 + 21*a^2*z^2 - 20*a^4*z^2 + 
   16*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 29*a^4*z^4 + 21*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 12*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4335] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 + z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4336] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   33*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (34*z^2)/a^2 + 10*a^2*z^2 - 38*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (36*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 4337] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   16*z^2 + z^2/a^8 - (3*z^2)/a^6 + (10*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 4338] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (28*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (34*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 - 
   (3*z^6)/a^8 + (17*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 4339] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4340] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (25*z^2)/a^8 + (27*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (30*z^4)/a^8 + (34*z^4)/a^6 - (8*z^4)/a^4 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (21*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, Alternating, 4341] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 4342] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4343] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 + z^2/a^14 - 
   (10*z^2)/a^12 + (27*z^2)/a^10 - (26*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (29*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 4344] -> -4 - a^(-8) + 3/a^6 - 8/a^4 + 
   11/a^2 - 12*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (25*z^2)/a^4 + 
   (34*z^2)/a^2 - 11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + 
   (40*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4345] -> 
  -2 + 7*a^2 - 9*a^4 + 9*a^6 - 4*a^8 - 7*z^2 + 24*a^2*z^2 - 30*a^4*z^2 + 
   27*a^6*z^2 - 8*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 35*a^4*z^4 + 27*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4346] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4347] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 + z^2/a^14 - 
   (10*z^2)/a^12 + (27*z^2)/a^10 - (26*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (29*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 4348] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 
   2*a^2 + a^4 + 7*z^2 + z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 4349] -> -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + a^(-4) + 
   z^2/a^14 - (7*z^2)/a^12 + (21*z^2)/a^10 - (28*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (28*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 4350] -> 
  3 - a^(-2) - 3*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 8*z^4 - z^4/a^2 - 
   7*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4351] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 7*z^2 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (38*z^2)/a^4 + (29*z^2)/a^2 - 9*z^4 - z^4/a^8 + 
   (14*z^4)/a^6 - (40*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (18*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4352] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 4353] -> -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^6 + z^6/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 4354] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 28*z^2 + 
   (3*z^2)/a^6 - (19*z^2)/a^4 + (38*z^2)/a^2 + 8*a^2*z^2 - 36*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (38*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4355] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 12*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (32*z^2)/a^4 + (38*z^2)/a^2 - 11*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (34*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4356] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (13*z^2)/a^8 + (22*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (28*z^4)/a^6 - 
   (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - (15*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 4357] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 4358] -> 
  2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 6*z^2 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4359] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^4 - a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 4360] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 6*z^2 + z^2/a^8 - 
   (7*z^2)/a^6 + (12*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 4361] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 4362] -> -2 + 7*a^2 - 9*a^4 + 9*a^6 - 4*a^8 - 7*z^2 + 
   24*a^2*z^2 - 30*a^4*z^2 + 27*a^6*z^2 - 8*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 
   35*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 12*a^2*z^6 - 21*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4363] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4364] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 28*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (38*z^2)/a^2 + 8*a^2*z^2 - 36*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (38*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (17*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4365] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 12*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (32*z^2)/a^4 + (38*z^2)/a^2 - 11*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (34*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4366] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - z^4/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 4367] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 4368] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4369] -> 2*a^2 - 4*a^4 + 9*a^6 - 9*a^8 + 3*a^10 + 
   7*a^2*z^2 - 18*a^4*z^2 + 28*a^6*z^2 - 23*a^8*z^2 + 7*a^10*z^2 + 
   5*a^2*z^4 - 24*a^4*z^4 + 32*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   12*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 4370] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 3*z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 + z^4 - 7*a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4371] -> 
  2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 2*z^2 - a^2*z^2 - 3*a^4*z^2 + 
   8*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4372] -> 
  1 + a^6 - 2*a^8 + a^10 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - 2*z^4 - 2*a^2*z^4 + a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 4373] -> 
  2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4374] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 4375] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   12*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4376] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 5*z^2 + z^2/a^4 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4377] -> 1 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 2*a^10*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 4378] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   3*z^2 - z^2/a^2 - 3*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4379] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4380] -> 2 + a^(-4) - 2/a^2 - 3*z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 8*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 4381] -> 
  4 + a^(-10) - 3/a^8 + 5/a^6 - 2/a^4 - 4/a^2 + 4*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 - (10*z^2)/a^2 + z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 4382] -> -1 + a^(-10) - 2/a^8 + 2/a^6 - 
   a^(-2) + 2*a^2 - 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4383] -> 
  -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 24*z^2 - (7*z^2)/a^4 + (20*z^2)/a^2 + 
   24*a^2*z^2 - 8*a^4*z^2 - 30*z^4 - (5*z^4)/a^4 + (25*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - z^6/a^4 + (12*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4384] -> -1 - a^(-4) + 2/a^2 + 3*a^4 - 2*a^6 - 2*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4385] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 6*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 4386] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - z^2 - 
   z^2/a^6 + (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 4387] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   4*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 4388] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 - z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4389] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4390] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 5*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4391] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4392] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   2*a^4 - 2*a^6 + a^8 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 
   7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 4393] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   9*z^2 - z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 
   3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 4394] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 
   12*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4395] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4396] -> 
  2 - 2*a^2 + a^4 - 5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4397] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 - z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 4398] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 2*z^2 + 3*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4399] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4400] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4401] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4402] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - 
   a^8 + z^2 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4403] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 2*z^2 + 
   13*a^2*z^2 - 22*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   30*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4404] -> 1 - a^2 + a^4 - a^6 + 3*a^8 - 2*a^10 + z^2 + 
   a^2*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*z^4 + 2*a^2*z^4 - a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 4405] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4406] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 
   3*a^4 - a^6 + z^2 - z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4407] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4408] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 9*z^2 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4409] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4410] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 23*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   26*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4411] -> -2 + a^(-4) + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4412] -> -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 4413] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 
   6*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   21*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4414] -> -1 + a^(-2) + a^2 - 11*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4415] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   15*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4416] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 2*z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   23*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4417] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4418] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4419] -> 
  2 - 3*a^4 + 2*a^6 + 4*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 22*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 4420] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4421] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4422] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (6*z^4)/a^2 + 
   23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4423] -> a^2 + a^4 - a^6 + 2*a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   2*z^6 + 7*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4424] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 4425] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 
   2*a^10*z^2 - 5*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 2*a^2*z^6 - 
   6*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 4426] -> a^(-2) - a^4 + a^6 - z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4427] -> -1 + a^(-4) + a^4 - 7*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 9*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 4428] -> 
  1 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4429] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   3*a^4*z^2 + 14*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 4*a^2*z^4 - 
   15*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4430] -> a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 4431] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   2*z^2 + z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4432] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 
   23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4433] -> 1 + a^4 - 2*a^6 + a^8 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, Alternating, 4434] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 19*z^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 4435] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4436] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4437] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 4438] -> a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 
   4*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4439] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 + 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 26*z^4 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 + (5*z^6)/a^4 - (11*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 4440] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   7*z^2 + (6*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 4441] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 15*z^2 + 
   (10*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 17*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + z^6/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 4442] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 8*z^2 + (4*z^2)/a^4 - z^2/a^2 + 
   2*a^4*z^2 - 7*z^4 + z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 4443] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 4444] -> 
  2*a^6 + a^8 - 2*a^10 - a^2*z^2 + 9*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 4445] -> a^(-16) - 2/a^14 - 2/a^12 + 
   2/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - (3*z^2)/a^12 + (11*z^2)/a^10 + 
   (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + (3*z^4)/a^12 + (15*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 4446] -> a^(-14) - 4/a^12 + 3/a^10 - 
   a^(-8) + 2/a^6 - (5*z^2)/a^12 + (9*z^2)/a^10 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (7*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4447] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4448] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4449] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 4450] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4451] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 4452] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (23*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (27*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4453] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 5*z^2 + 
   15*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   20*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4454] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4455] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 14*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4456] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (13*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4457] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + (3*z^2)/a^16 - (18*z^2)/a^14 + 
   (10*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + 
   (20*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^14 + 
   (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 4458] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (7*z^2)/a^14 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (4*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4459] -> 
  -a^4 + a^6 + 6*a^8 - 5*a^10 - 5*a^4*z^2 + 8*a^6*z^2 + 22*a^8*z^2 - 
   13*a^10*z^2 - 8*a^4*z^4 + 14*a^6*z^4 + 30*a^8*z^4 - 13*a^10*z^4 - 
   5*a^4*z^6 + 13*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 4460] -> -2*a^4 + 5*a^6 + a^8 - 3*a^10 - a^2*z^2 - 
   2*a^4*z^2 + 13*a^6*z^2 + 7*a^8*z^2 - 6*a^10*z^2 - 2*a^2*z^4 + 14*a^6*z^4 + 
   8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4461] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4462] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4463] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   25*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4464] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 11*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4465] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (25*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4466] -> 
  -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 7*a^4*z^2 + 14*a^6*z^2 + 16*a^8*z^2 - 
   12*a^10*z^2 - 9*a^4*z^4 + 18*a^6*z^4 + 28*a^8*z^4 - 13*a^10*z^4 - 
   5*a^4*z^6 + 14*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 4467] -> -a^2 + 2*a^4 + 3*a^8 - 3*a^10 - 3*a^2*z^2 + 
   4*a^4*z^2 + 7*a^6*z^2 + 8*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   12*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 4468] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4469] -> 2 - a^(-2) + a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4470] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4471] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 3*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4472] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (16*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (16*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 4473] -> 2/a^14 - 8/a^12 + 6/a^10 + 
   a^(-8) + (2*z^2)/a^16 - (6*z^2)/a^14 - (11*z^2)/a^12 + (22*z^2)/a^10 + 
   (5*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 + (2*z^4)/a^12 + (29*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 4474] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + z^2/a^16 - (3*z^2)/a^14 - 
   (6*z^2)/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   (12*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4475] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 13*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4476] -> 
  -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 10*a^4*z^2 + 24*a^6*z^2 + 5*a^8*z^2 - 
   9*a^10*z^2 - 12*a^4*z^4 + 28*a^6*z^4 + 20*a^8*z^4 - 12*a^10*z^4 - 
   6*a^4*z^6 + 19*a^6*z^6 + 18*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 4477] -> -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - 
   3*a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 16*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 4478] -> a^2 - 4*a^4 + 9*a^6 - 5*a^8 - 3*z^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 26*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   30*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4479] -> 4*a^6 - 3*a^8 + 2*z^2 - z^2/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 
   5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4480] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4481] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   7*z^2 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4482] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 
   2/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - (15*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (9*z^4)/a^10 - (12*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4483] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + (23*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (25*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4484] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (18*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4485] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 2*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4486] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 5*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 4*z^4 - (6*z^4)/a^6 + 
   (8*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, Alternating, 4487] -> 1 + a^(-10) - 5/a^8 + 10/a^6 - 
   9/a^4 + 3/a^2 + 3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (25*z^2)/a^6 - 
   (24*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - 
   (27*z^4)/a^4 + z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4488] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 4/a^6 + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (22*z^2)/a^10 - (21*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (23*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4489] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 16*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 17*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4490] -> a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4491] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^14 - (4*z^2)/a^12 + (7*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^4)/a^12 + (6*z^4)/a^10 + (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - z^6/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, Alternating, 4492] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 7*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 4493] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 
   22*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + (35*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (38*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4494] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4495] -> 
  -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - (2*z^2)/a^2 + 16*a^2*z^2 - 
   23*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 4496] -> 
  -2*a^2 + 5*a^4 - a^6 - a^10 - 5*a^2*z^2 + 8*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   3*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 15*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4497] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4498] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4499] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   z^2/a^6 - z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4500] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (19*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4501] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (25*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4502] -> 
  a^(-14) - 3/a^12 + a^(-10) + a^(-8) + a^(-4) + z^2/a^14 - (8*z^2)/a^12 + 
   (10*z^2)/a^10 + z^2/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (14*z^4)/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^4 + (5*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 4503] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - (2*z^2)/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 15*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4504] -> -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - 
   3*a^2*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 25*a^6*z^4 - 
   a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4505] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 2*z^2 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 - a^2*z^2 + 3*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 4506] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4507] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4508] -> 2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (26*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (29*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 4509] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 17*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (25*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4510] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 4511] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   3*z^2 - z^2/a^4 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 4512] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 4513] -> -4 + a^(-8) - 4/a^6 + 4/a^4 + 2/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 + z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 4514] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (13*z^4)/a^4 + 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 4515] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 4516] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   6*z^2 - z^2/a^4 - 5*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 4517] -> -1 + 2*a^2 + a^6 - a^10 - 2*z^2 + 2*a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   5*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 4518] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, Alternating, 4519] -> 
  1 - a^6 + 2*a^8 - a^10 + a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - 
   a^10*z^2 - 2*z^4 + 3*a^2*z^4 + a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 4520] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 + 3*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 
   6*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 4521] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4522] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4523] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 4524] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4525] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^2 + a^2 - z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4526] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4527] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 4528] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4529] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4530] -> 2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 
   z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   2*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4531] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4532] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (11*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4533] -> 4*a^2 - 8*a^4 + 11*a^6 - 9*a^8 + 3*a^10 + 
   8*a^2*z^2 - 22*a^4*z^2 + 29*a^6*z^2 - 23*a^8*z^2 + 7*a^10*z^2 + 
   5*a^2*z^4 - 25*a^4*z^4 + 32*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   12*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 4534] -> 
  -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 30*z^2 - (5*z^2)/a^4 + 
   (19*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 34*z^4 - (4*z^4)/a^4 + 
   (22*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4535] -> 2 - 3*a^2 + 4*a^4 - 2*a^6 - a^8 + a^10 + 
   3*z^2 - 7*a^2*z^2 + 5*a^4*z^2 - 6*a^8*z^2 + 3*a^10*z^2 + z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4536] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 4537] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 
   3*a^4 - 19*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 
   23*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 4538] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^6 + z^2/a^4 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 4539] -> 2 - 3*a^2 + 3*a^4 + a^6 - 4*a^8 + 2*a^10 + 
   3*z^2 - 7*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 + z^4 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4540] -> -a^(-6) + 3/a^4 - 3/a^2 + 4*a^2 - 2*a^4 - 
   2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   3*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 4541] -> -1 + a^(-2) + a^2 + a^4 - a^6 - a^8 + a^10 - 
   2*z^2 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   2*z^4 - a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 4542] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 
   3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 4543] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 4544] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4545] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4546] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4547] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - z^2 + 9*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4548] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - (5*z^4)/a^4 + (19*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4549] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4550] -> a^2 - a^6 + 2*a^8 - a^12 + a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4551] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 - 4*a^4*z^2 + 12*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4552] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   24*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4553] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4554] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 4555] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 16*a^4*z^2 + 
   5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4556] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4557] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4558] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4559] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4560] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4561] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4562] -> 
  1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - 
   6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 4563] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 4564] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 4565] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4566] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4567] -> a^2 + a^4 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4568] -> 1 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4569] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - z^2/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 4570] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + 5*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   3*z^4 + z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4571] -> 
  1 + z^2 - a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 2*z^6 + 6*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4572] -> 3 - a^(-2) - 2*a^4 + a^6 - z^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 4573] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 10*a^8*z^2 + 
   3*a^10*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 10*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 4574] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 4*z^2 + 14*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 4575] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 11*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 4576] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (20*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + z^6 + z^6/a^8 - (13*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4577] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4578] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 - z^2/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 4579] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4580] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 4*z^2 - 
   z^2/a^2 + 18*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 8*z^4 + z^4/a^2 + 
   25*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4581] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - 
   (5*z^2)/a^12 + (12*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (8*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4582] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + (2*z^2)/a^16 - 
   (9*z^2)/a^14 - (7*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - 
   (12*z^4)/a^14 + (6*z^4)/a^12 + (32*z^4)/a^10 + (6*z^4)/a^8 - 
   (4*z^6)/a^14 + (10*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 4583] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4584] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 4585] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 
   27*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 4586] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 26*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (29*z^2)/a^2 + 8*a^2*z^2 - 34*z^4 + z^4/a^6 - (9*z^4)/a^4 + (31*z^4)/a^2 + 
   10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 4587] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 5*a^4*z^2 + 17*a^6*z^2 + 2*a^8*z^2 - 
   4*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 22*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4588] -> 
  -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 19*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   23*a^2*z^2 - 7*a^4*z^2 - 26*z^4 - z^4/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4589] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 7*a^4*z^2 + 23*a^6*z^2 - 4*a^8*z^2 - 
   3*a^10*z^2 - a^2*z^4 - 6*a^4*z^4 + 25*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 4590] -> 2/a^14 - 7/a^12 + 5/a^10 + a^(-6) + 
   z^2/a^14 - (12*z^2)/a^12 + (18*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (18*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 4591] -> 
  a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4592] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4593] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^10 - 
   (13*z^2)/a^8 + (21*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - z^4/a^10 - 
   (7*z^4)/a^8 + (22*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4594] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (11*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (4*z^4)/a^10 - (11*z^4)/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4595] -> -7 + 4/a^2 + 4*a^2 - 21*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4596] -> -3 + 3/a^2 - a^2 + 2*a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4597] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (23*z^2)/a^4 + (32*z^2)/a^2 - 11*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (27*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4598] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - a^2*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 4599] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 
   2*a^8 - 2*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4600] -> 2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 - 2*z^2 + 
   12*a^2*z^2 - 24*a^4*z^2 + 28*a^6*z^2 - 8*a^8*z^2 - 3*z^4 + 17*a^2*z^4 - 
   33*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 21*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4601] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 23*z^2 + 
   (7*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 28*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4602] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 
   z^2/a^2 + 12*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4603] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 3*z^2 - 
   z^2/a^2 - 5*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4604] -> 
  -a^(-4) + 2/a^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^8 + 
   z^4/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 4605] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4606] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4607] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 16*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4608] -> 
  3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + (4*z^2)/a^16 - (24*z^2)/a^14 + 
   (17*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + 
   (25*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^14 + 
   (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 4609] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (10*z^2)/a^14 + 
   (2*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (16*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4610] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (10*z^2)/a^14 + 
   (4*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (15*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4611] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (4*z^2)/a^14 - z^2/a^12 + 
   (9*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + 
   (7*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 4612] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 + 
   z^2/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 4613] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4614] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (7*z^2)/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (2*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4615] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + 
   z^2/a^16 - (6*z^2)/a^14 - (5*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (2*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4616] -> 2/a^10 - 7/a^8 + 6/a^6 + (6*z^2)/a^10 - 
   (17*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (19*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4617] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4618] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 4619] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   5*z^2 + 16*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 4620] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 4621] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 
   5*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 4622] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4623] -> 
  2*a^4 - a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4624] -> -2/a^6 + 3/a^4 + 2*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 4625] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^16 - (3*z^2)/a^14 - (10*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4626] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + 2*z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4627] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 3*z^2 + 
   12*a^2*z^2 - 16*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4628] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 6*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4629] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (23*z^4)/a^6 - (24*z^4)/a^4 + 
   (7*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 4630] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - a^2*z^2 - 
   a^4*z^2 + 13*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 
   12*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 4631] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4632] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4633] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (24*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (26*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 4634] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 
   12*z^2 + z^2/a^2 + 27*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 33*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4635] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4636] -> 
  -a^2 + a^4 + 5*a^6 - 4*a^8 - 3*a^2*z^2 + 3*a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 14*a^6*z^4 + 3*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4637] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 6/a^10 + 2/a^8 + z^2/a^16 + z^2/a^14 - 
   (19*z^2)/a^12 + (20*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 - 
   (5*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4638] -> 
  -a^(-16) + 7/a^14 - 15/a^12 + 9/a^10 + a^(-8) + z^2/a^16 + (3*z^2)/a^14 - 
   (28*z^2)/a^12 + (30*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (6*z^4)/a^14 - 
   (12*z^4)/a^12 + (37*z^4)/a^10 + (6*z^4)/a^8 - (3*z^6)/a^14 + 
   (3*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 4639] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 
   4/a^2 + z^2/a^10 - (9*z^2)/a^8 + (24*z^2)/a^6 - (24*z^2)/a^4 + 
   (9*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (25*z^4)/a^6 - (29*z^4)/a^4 + 
   (8*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 4640] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 14*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (27*z^2)/a^4 + (40*z^2)/a^2 - 12*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (28*z^4)/a^4 + (43*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (24*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4641] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (12*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (8*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4642] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 11*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4643] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - 
   (10*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4644] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   19*a^2*z^2 - 6*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4645] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2 + (5*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - z^4 - 
   (8*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 4646] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 
   4/a^4 + 2/a^2 + z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 4647] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4648] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (28*z^2)/a^8 + (22*z^2)/a^6 - (2*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (29*z^4)/a^8 + (25*z^4)/a^6 - (5*z^4)/a^4 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (16*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, Alternating, 4649] -> -12 - 4/a^4 + 12/a^2 + 6*a^2 - 
   a^4 - 34*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 
   36*z^4 - z^4/a^4 + (14*z^4)/a^2 + 32*a^2*z^4 - 9*a^4*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4650] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 
   2*z^2 - z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4651] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 10*a^4*z^2 + 5*a^6*z^2 - 3*a^10*z^2 - 
   4*a^2*z^4 + 8*a^4*z^4 + 11*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 4652] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 
   23*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4653] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4654] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4655] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + 
   z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + z^4 + 
   (6*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, Alternating, 4656] -> 
  -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 19*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + 
   (27*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4657] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4658] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 10*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (24*z^2)/a^2 + a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (29*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4659] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4660] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4661] -> 
  -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 4*a^2*z^2 + 5*a^4*z^2 + 15*a^6*z^2 - 
   9*a^8*z^2 - z^4 - 2*a^2*z^4 + 7*a^4*z^4 + 13*a^6*z^4 - 3*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 4662] -> 2*a^4 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4663] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (21*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (12*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4664] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - (4*z^2)/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 + z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4665] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4666] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4667] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + (4*z^2)/a^10 - (19*z^2)/a^8 + 
   (30*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (35*z^4)/a^6 - (21*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 4668] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 + 
   z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 4669] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 4670] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 - z^2/a^6 - z^2/a^4 + 
   (10*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (7*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 4671] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 3*z^2 - z^2/a^2 + 17*a^2*z^2 - 
   19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 11*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 4672] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 
   9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 4673] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4674] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4675] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 
   (5*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 4676] -> -5 - a^(-6) + a^(-4) + 3/a^2 + 
   4*a^2 - a^4 - 9*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4677] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 4678] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4679] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4680] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (22*z^2)/a^2 + a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (28*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4681] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   2*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   3*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 4682] -> 
  -3 - 2/a^6 + 5/a^4 - 2/a^2 + 4*a^2 - a^4 - 5*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4683] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 + 
   2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, Alternating, 4684] -> -a^(-12) + 4/a^10 - 7/a^8 + 
   4/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (13*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4685] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 5*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4686] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (26*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 4687] -> 
  3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 5*z^4 - z^4/a^2 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4688] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 
   3*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 + 8*a^6*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 4689] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4690] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 4691] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 4692] -> 1 + z^2/a^10 - z^2/a^6 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 4693] -> -9 - 2/a^4 + 7/a^2 + 6*a^2 - a^6 - 
   20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   9*z^6 + (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 4694] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 4695] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4696] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 4697] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4698] -> 
  3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 
   14*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + 
   15*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - a^6*z^6 - 6*a^8*z^6 + 5*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[14, Alternating, 4699] -> 
  -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 7*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (14*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (16*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4700] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + a^6 - 
   z^2 + z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 4701] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4702] -> a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4703] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4704] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 22*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4705] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 
   3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^4*z^2 + a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, Alternating, 4706] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + 
   a^2 - z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4707] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4708] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - (3*z^4)/a^4 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 4709] -> 1 - a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 2*z^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4710] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 4711] -> 
  5*a^2 - 7*a^4 + 3*a^6 - 8*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 19*a^4*z^2 + 
   6*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4712] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 4713] -> 2 - 3*a^4 + 2*a^6 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4714] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4715] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + z^2 - a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4716] -> -2 + a^(-2) + 6*a^2 - 7*a^4 + 3*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 19*a^4*z^2 + 6*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   24*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4717] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4718] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 4719] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 - 
   a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 4720] -> 2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 
   a^4*z^2 + 12*a^6*z^2 - 19*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 
   20*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 4721] -> a^2 + a^4 - 2*a^6 + a^8 + a^10 - 
   a^12 + 5*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4722] -> 3 - 3*a^2 + a^6 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4723] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 - z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 4724] -> 1 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4725] -> 
  3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 13*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4726] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 9*z^2 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4727] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 
   2*a^4*z^2 + 11*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 11*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 4728] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   7*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 4729] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - 8*z^4 + z^4/a^2 + 
   23*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4730] -> -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4731] -> a^(-4) - a^(-2) + a^2 - 6*z^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4732] -> 
  a^(-2) + a^2 - 4*a^4 + 4*a^6 - a^8 - z^2 + a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4733] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4734] -> 
  a^2 + a^6 - a^8 - z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4735] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 
   5*a^4*z^2 - 7*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 4736] -> 
  2*a^4 - a^8 + 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 
   a^2*z^4 - 3*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 4737] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 4738] -> 2*a^2 - a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4739] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4740] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 3*a^4*z^2 + 6*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - 12*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 4741] -> a^(-10) - 6/a^8 + 8/a^6 - 
   3/a^4 + a^(-2) + z^2 + z^2/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4742] -> 
  2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (18*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (18*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4743] -> a^(-10) - 5/a^8 + 5/a^6 + z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4744] -> -2/a^12 + 7/a^10 - 10/a^8 + 5/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (16*z^2)/a^10 - (25*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^4)/a^12 + (9*z^4)/a^10 - (27*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 4745] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 + (5*z^2)/a^10 - (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4746] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4747] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 22*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 
   6*a^2*z^2 - 21*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4748] -> -2*a^4 + 8*a^6 - 5*a^8 - 7*a^4*z^2 + 
   24*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - 5*a^4*z^4 + 26*a^6*z^4 - 
   2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4749] -> 
  3*a^2 - 8*a^4 + 11*a^6 - 5*a^8 - z^2 + 11*a^2*z^2 - 26*a^4*z^2 + 
   29*a^6*z^2 - 8*a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 34*a^4*z^4 + 27*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4750] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4751] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (6*z^2)/a^14 - 
   (7*z^2)/a^12 + (18*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (2*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4752] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + (6*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4753] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4754] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 4755] -> -a^4 + 4*a^6 - 2*a^10 - 4*a^4*z^2 + 
   16*a^6*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 21*a^6*z^4 - 
   3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4756] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - 
   z^4 - a^2*z^4 + 2*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 4757] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 9*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4758] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4759] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 16*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 10*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 4760] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4761] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + 
   (7*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4762] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4763] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4764] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   z^4 + (6*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, Alternating, 4765] -> a^(-14) - 3/a^12 + 3/a^8 - a^(-6) + a^(-4) - 
   (4*z^2)/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^10 + (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4766] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - 
   (15*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (12*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 4767] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4768] -> 
  -a^2 + 3*a^4 - a^10 - 3*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   a^10*z^2 - z^4 - 2*a^2*z^4 + 7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 4769] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (4*z^2)/a^16 - (23*z^2)/a^14 + 
   (14*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + 
   (24*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^14 + 
   (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 4770] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (10*z^2)/a^14 + 
   (3*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (15*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4771] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (3*z^2)/a^12 - (8*z^2)/a^10 + 
   (3*z^2)/a^8 + (9*z^2)/a^6 + (7*z^4)/a^12 - (11*z^4)/a^10 - (5*z^4)/a^8 + 
   (12*z^4)/a^6 + (5*z^6)/a^12 - (12*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 4772] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 4773] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 4774] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (4*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4775] -> a^2 + a^6 - a^8 - z^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4776] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 4777] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 
   6*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 4778] -> 
  -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (15*z^2)/a^4 + (23*z^2)/a^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4779] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4780] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 + 
   a^4*z^2 + 12*a^6*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 13*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4781] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, Alternating, 4782] -> -a^2 + 3*a^4 - a^10 - z^2 - 
   a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 5*a^6*z^4 - 
   a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 4783] -> a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (5*z^2)/a^12 + (11*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (8*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4784] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4785] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (4*z^2)/a^14 - z^2/a^12 + (8*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + (3*z^4)/a^12 + (7*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 4786] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4 - (8*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4787] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4788] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 4789] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4790] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4791] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4792] -> 
  -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 18*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4793] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4794] -> 
  -13 - 4/a^4 + 12/a^2 + 8*a^2 - 2*a^4 - 35*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 36*z^4 - z^4/a^4 + (14*z^4)/a^2 + 
   33*a^2*z^4 - 9*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4795] -> 
  -1 - 2/a^6 + 5/a^4 - 3/a^2 + 3*a^2 - a^4 - 2*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4796] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   3*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, Alternating, 4797] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - (2*z^2)/a^12 + (10*z^2)/a^10 - (15*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (20*z^4)/a^8 + 
   (11*z^4)/a^6 - z^4/a^4 + (3*z^6)/a^10 - (13*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 4798] -> -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 
   8*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4799] -> 
  -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 11*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 4800] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (21*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4801] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4802] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 4803] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4804] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (8*z^4)/a^8 + (20*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 4805] -> -2/a^12 + 5/a^10 - 4/a^8 - a^(-6) + 3/a^4 + 
   (9*z^2)/a^10 - (10*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4806] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + z^2 + z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 4807] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 10/a^8 + 3/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (20*z^2)/a^10 - (24*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + 
   (12*z^4)/a^10 - (25*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4808] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - 
   (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4809] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 4810] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 
   2*a^6 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4811] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 4812] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   5*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4813] -> 
  -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 32*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 36*z^4 - (3*z^4)/a^4 + 
   (20*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4814] -> 3*a^4 - 2*a^6 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4815] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 + a^2*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - 
   z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 4816] -> 
  1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 4817] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (13*z^2)/a^10 - (20*z^2)/a^8 + (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^4)/a^12 + (7*z^4)/a^10 - (24*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 4818] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + (6*z^2)/a^10 - (8*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4819] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 4820] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4821] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 4822] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + 
   a^4 - a^6 + a^8 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 4823] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 3*z^2 + 
   12*a^2*z^2 - 16*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4824] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4825] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 + 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4826] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 3*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 4827] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 + 2*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (16*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 4828] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 4829] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 4830] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4831] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4832] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4833] -> -4 + 2/a^2 + 7*a^2 - 6*a^4 + a^6 + a^8 - 
   13*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 
   12*z^4 + z^4/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 4834] -> 1 + a^(-4) - a^(-2) + a^2 - 2*a^4 + a^8 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   2*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 4835] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 4836] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 4837] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4838] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + 
   3*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   6*a^2*z^4 + a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4839] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   2*z^2 + z^2/a^2 + a^4*z^2 - 3*a^6*z^2 + a^10*z^2 - 2*z^4 - a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 4840] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4841] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 6*z^2 - 
   z^2/a^8 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4842] -> 
  a^4 + a^8 + a^10 - 3*a^12 + a^14 + 4*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 + 
   6*a^10*z^2 - 5*a^12*z^2 + a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 
   7*a^10*z^4 - a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6, 
 Knot[14, Alternating, 4843] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 20*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 24*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4844] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 
   4*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 4845] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4846] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4847] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   3*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 4848] -> 3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 
   2*a^10 + 6*a^2*z^2 - 18*a^4*z^2 + 24*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 24*a^4*z^4 + 28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 4849] -> 1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4850] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 4851] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 
   2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 
   14*a^2*z^4 - 24*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 4852] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 
   4*z^2 - z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 4853] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4854] -> 
  -5 + 3/a^2 + 3*a^2 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4855] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4856] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 - 4*a^4*z^2 + a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4857] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 20*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4858] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4859] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 
   4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4860] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4861] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4862] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 10*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4863] -> a^2 + a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4864] -> -a^(-2) + 5*a^2 - 3*a^4 - 7*z^2 + z^2/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 24*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 4865] -> 
  -1 + 3*a^2 - a^6 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4866] -> 2*a^4 - a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4867] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4868] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 4*a^4*z^2 + 5*a^6*z^2 - 14*a^8*z^2 + 
   12*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 21*a^8*z^4 + 12*a^10*z^4 - 
   a^12*z^4 - 3*a^4*z^6 + 9*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 4869] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 
   2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 - 
   5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 4870] -> -1 + 4*a^2 - 2*a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   (5*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4871] -> 1 - a^2 + 2*a^4 - a^6 - z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4872] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4873] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4874] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (15*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (6*z^4)/a^10 - (14*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4875] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (9*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^2 - z^4/a^10 - (6*z^4)/a^8 + 
   (17*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 4876] -> 
  -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 - 
   (4*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4877] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4878] -> 3*a^6 - a^8 - a^10 - a^2*z^2 + 
   a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 
   10*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 4879] -> -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4880] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   z^2/a^6 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4881] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (6*z^4)/a^10 - (13*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4882] -> 2 - 2/a^4 + 2/a^2 - a^4 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4883] -> 1 - 4/a^8 + 10/a^6 - 8/a^4 + 2/a^2 + 3*z^2 - 
   (4*z^2)/a^8 + (22*z^2)/a^6 - (23*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   (14*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4884] -> -2/a^10 + 2/a^8 + a^(-4) + (2*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 4885] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^10 + 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 4886] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (23*z^2)/a^6 - (32*z^2)/a^4 + (13*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (26*z^4)/a^6 - (39*z^4)/a^4 + (11*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (23*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 4887] -> 
  2*a^6 + a^8 - 2*a^10 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 11*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 4888] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - a^10*z^2 - z^4 - 
   a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 4889] -> 
  1 - a^(-6) + a^(-4) + a^2 - a^4 + z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 4890] -> 
  1 - 2/a^10 + 3/a^8 + 2/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + 
   (8*z^2)/a^8 - z^2/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (10*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 4891] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 4892] -> 3 - 2/a^8 + 6/a^6 - 4/a^4 - 
   2/a^2 + 5*z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 4893] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 + 5*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4894] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (25*z^2)/a^4 + (18*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (29*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 4895] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4896] -> -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 
   7*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   6*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 4897] -> 4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4898] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 4899] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4900] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 
   13*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 22*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 4901] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 
   4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4902] -> 1 + a^(-6) - a^(-4) - a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 4903] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 4904] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 + 2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4905] -> -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4906] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4907] -> 
  4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 6*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4908] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4909] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4910] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4911] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 - 2*z^2 + 
   14*a^2*z^2 - 25*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   31*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4912] -> 1 - a^2 + 3*a^6 - 2*a^8 + 5*z^2 - z^2/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4913] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4914] -> 
  1 - a^4 + 3*a^8 - 2*a^10 + z^2 + a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 2*z^4 + 2*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 4915] -> 2 - 3*a^2 + 2*a^4 + a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 - a^4*z^2 + 3*a^8*z^2 - z^4/a^2 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 4916] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 2*z^4 + z^4/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4917] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 4918] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 4919] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 4920] -> 2 - 3*a^2 + 2*a^4 + a^6 - 
   a^8 + 5*z^2 - z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4921] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4922] -> 4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 4923] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 4924] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 4925] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 4926] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4927] -> a^(-2) - a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 4928] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4929] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 4930] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 - 7*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4931] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + z^4/a^2 + 18*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4932] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4933] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 4934] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 3*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   6*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 4935] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 4936] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 12*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (6*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 4937] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 5*a^2*z^2 - 
   10*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 4938] -> 
  -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (11*z^2)/a^10 - 
   (12*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (5*z^4)/a^10 - (14*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4939] -> -5 + a^(-6) - 4/a^4 + 8/a^2 - a^2 + 2*a^4 - 
   3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4940] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4941] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 19*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4942] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 4943] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 20*z^2 - z^2/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 4944] -> -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + 
   a^4 - 7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4945] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 4946] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 4947] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4948] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4949] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4950] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + a^4 - a^6 + 
   a^8 + 9*z^2 + z^2/a^4 - (7*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 
   10*z^4 + z^4/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 4951] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 8*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 4952] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + 
   3*a^2*z^4 - 15*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 4953] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   2*z^2 - 6*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   7*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 4954] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 17*z^2 + (4*z^2)/a^2 + 26*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 4955] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 4956] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4957] -> 
  -2 + a^(-4) + 2*a^2 - z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 4958] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 4959] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 6*z^2 + 
   20*a^2*z^2 - 23*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 26*a^2*z^4 - 
   26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4960] -> 5*a^6 - 8*a^8 + 7*a^10 - 3*a^12 - a^4*z^2 + 
   19*a^6*z^2 - 24*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 - 4*a^4*z^4 + 
   23*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   15*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 4961] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 
   2*a^12 - a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4962] -> -a^(-4) + 2/a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 4963] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (4*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4964] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4965] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4966] -> -2 + 9*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 8*z^2 + 
   28*a^2*z^2 - 32*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 35*a^2*z^4 - 
   34*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4967] -> 4 - a^(-2) - 4*a^2 + 2*a^4 + a^6 - a^8 + 
   8*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   8*z^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 4968] -> 
  3*a^4 - 4*a^6 + 3*a^8 - a^12 - a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 
   2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 4969] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 2*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   14*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 4970] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 + z^2/a^8 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4971] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 4972] -> 
  -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 5*z^2 + 4*a^2*z^2 + 13*a^4*z^2 - 
   4*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 17*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 4973] -> 4 - 2/a^8 + 4/a^6 - a^(-4) - 
   3/a^2 - a^2 + 9*z^2 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4974] -> a^(-16) - a^(-14) - 3/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) + z^2/a^16 - (5*z^2)/a^14 - (3*z^2)/a^12 + (7*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 4975] -> -1 - a^2 + 6*a^4 - a^6 - 2*a^8 - 
   4*z^2 + 16*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 
   18*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 10*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 4976] -> -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 3*z^2 - 
   z^2/a^2 + 6*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 
   7*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 4977] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4978] -> 1 - a^(-2) + 3*a^4 - a^6 - a^8 + z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 
   6*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 4979] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   a^(-4) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 4980] -> 3/a^16 - 7/a^14 + 2/a^12 + 
   a^(-10) + 2/a^8 + (4*z^2)/a^16 - (19*z^2)/a^14 + (10*z^2)/a^12 + 
   (7*z^2)/a^10 + (9*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (16*z^4)/a^12 + 
   (15*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^14 + (10*z^6)/a^12 + 
   (10*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 4981] -> 2/a^16 - 4/a^14 + 3/a^8 + z^2/a^16 - 
   (7*z^2)/a^14 - z^2/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - 
   (3*z^4)/a^14 + (3*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4982] -> 2/a^16 - 4/a^14 - a^(-12) + 3/a^10 + a^(-6) + 
   z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^4)/a^14 + (5*z^4)/a^12 + (10*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4983] -> a^(-16) - a^(-14) - 3/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) - (3*z^2)/a^14 - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 4984] -> 
  3 - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 4985] -> 4 - a^(-8) + 2/a^6 - 2/a^4 - 2*a^2 + 9*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4986] -> a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 
   4/a^8 + z^2/a^16 - (4*z^2)/a^14 - (5*z^2)/a^12 + (5*z^2)/a^10 + 
   (11*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + (11*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 4987] -> 2/a^14 - 5/a^12 + a^(-10) + 4/a^8 - 3/a^6 + 
   2/a^4 + z^2/a^14 - (9*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^4 - (3*z^4)/a^12 + (10*z^4)/a^10 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, Alternating, 4988] -> 
  a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + a^(-6) - a^(-4) + a^(-2) - 
   (3*z^2)/a^12 + z^2/a^10 + (6*z^2)/a^8 - z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 4989] -> 
  a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 4/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (5*z^2)/a^12 + (5*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   (11*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 4990] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 4991] -> 
  a^(-14) - 3/a^12 + 2/a^10 + a^(-2) - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   z^2/a^8 + (2*z^2)/a^2 + (5*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 4992] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - 
   z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 4993] -> -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 - 
   2*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   3*z^4 - z^4/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4994] -> 4 - a^(-8) + 2/a^6 - 2/a^4 - 2*a^2 + 9*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 4995] -> -4 - 2/a^4 + 5/a^2 + a^2 + 3*a^4 - 2*a^6 - 
   6*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 
   4*z^4 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 4996] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 4997] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 2*a^4 - a^6 - 
   4*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 4998] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 4999] -> -8 + a^(-6) - 7/a^4 + 13/a^2 + 
   2*a^2 - 21*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (30*z^2)/a^2 + 5*a^2*z^2 - 
   21*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5000] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - z^2/a^4 - z^2/a^2 - 8*a^2*z^2 + 
   2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5001] -> -1 + a^(-2) + a^2 - 10*z^2 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 6*z^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + 
   5*z^6 - (4*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 5002] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 - z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - z^6/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 5003] -> -5 + 3/a^2 + 3*a^2 - 8*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 5004] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 4*z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   z^4 - z^4/a^6 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 5005] -> 
  -8 + 2/a^2 + 16*a^2 - 13*a^4 + 4*a^6 - 22*z^2 + (5*z^2)/a^2 + 38*a^2*z^2 - 
   30*a^4*z^2 + 8*a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 39*a^2*z^4 - 28*a^4*z^4 + 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 22*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5006] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (22*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5007] -> 4 + a^(-10) - 4/a^8 + 7/a^6 - 3/a^4 - 4/a^2 + 
   4*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (17*z^2)/a^6 - (6*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (17*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5008] -> 
  -1 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - a^(-2) + 2*a^2 - 4*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5009] -> -4 - 2/a^8 + 8/a^6 - 15/a^4 + 14/a^2 - 
   8*z^2 - (5*z^2)/a^8 + (22*z^2)/a^6 - (37*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (39*z^4)/a^4 + (28*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (22*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 5010] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5011] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 5012] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 
   27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 5013] -> 
  -8 + 2/a^2 + 15*a^2 - 11*a^4 + 3*a^6 - 20*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 
   23*a^4*z^2 + 6*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5014] -> 
  4 + a^(-4) - 3/a^2 - 2*a^4 + a^6 + 8*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 5015] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + 
   a^2 + a^4 - 5*z^2 + z^2/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5016] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5017] -> 
  -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 9*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5018] -> a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 - z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + z^4/a^4 + 4*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 5019] -> 
  4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + a^4*z^2 + 14*a^6*z^2 - 19*a^8*z^2 + 
   17*a^10*z^2 - 4*a^12*z^2 - 3*a^4*z^4 + 19*a^6*z^4 - 27*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 5020] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 
   a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5021] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 17*a^2*z^2 - 22*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5022] -> 
  -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (14*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (8*z^4)/a^10 - 
   (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5023] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5024] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 23*z^2 - 
   (8*z^2)/a^4 + (23*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (9*z^4)/a^4 + (33*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 16*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5025] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5026] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 6*a^2*z^2 - 16*a^4*z^2 + 
   23*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + 6*a^2*z^4 - 24*a^4*z^4 + 
   27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5027] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   12*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + 
   (5*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5028] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 3*z^2 - 
   5*a^2*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 7*a^2*z^4 - 
   a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5029] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 8*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5030] -> 6 - 3/a^2 - a^2 - a^4 + 9*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 5031] -> 
  2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 5*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 5032] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 - (2*z^2)/a^6 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 5033] -> 
  -2*a^4 + 10*a^6 - 10*a^8 + 4*a^10 - a^12 - 7*a^4*z^2 + 26*a^6*z^2 - 
   14*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - 9*a^4*z^4 + 27*a^6*z^4 - 2*a^8*z^4 - 
   3*a^10*z^4 - 5*a^4*z^6 + 16*a^6*z^6 + 7*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 5034] -> -a^2 + 5*a^4 - 5*a^6 + 4*a^8 - 2*a^10 - 
   3*a^2*z^2 + 11*a^4*z^2 - 8*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 
   9*a^4*z^4 - 4*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5035] -> a^(-16) - a^(-14) - 4/a^12 + 4/a^10 + 
   a^(-6) + z^2/a^16 - (6*z^2)/a^14 - (3*z^2)/a^12 + (11*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + (4*z^4)/a^12 + (13*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 5036] -> a^6 + 3*a^8 - 3*a^10 - a^2*z^2 - 
   a^4*z^2 + 11*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   18*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5037] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2/a^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 5038] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (20*z^2)/a^4 + (23*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 - z^4/a^6 - 
   (12*z^4)/a^4 + (25*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - z^6/a^6 + (14*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 5039] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (6*z^2)/a^2 - a^2*z^2 - z^4 - z^4/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 5040] -> 2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + 
   (3*z^2)/a^16 - (13*z^2)/a^14 - (6*z^2)/a^12 + (26*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (8*z^4)/a^12 + (35*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5041] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (4*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (3*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5042] -> 
  2 - a^(-2) - 2*a^2 + 4*a^4 - a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5043] -> 
  3/a^16 - 8/a^14 + 4/a^12 + 2/a^8 + (4*z^2)/a^16 - (21*z^2)/a^14 + 
   (13*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + 
   (21*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + 
   (14*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5044] -> 
  2/a^16 - 5/a^14 + a^(-12) + 2/a^10 + a^(-6) + z^2/a^16 - (9*z^2)/a^14 + 
   (3*z^2)/a^12 + (9*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (13*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5045] -> 
  1 - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^6 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 5046] -> a^(-16) - 2/a^14 - a^(-12) + a^(-10) + 
   a^(-8) + a^(-6) + z^2/a^16 - (6*z^2)/a^14 - z^2/a^12 + (8*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + (4*z^4)/a^12 + (12*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 5047] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 
   2*a^4 - 5*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 
   11*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 5048] -> 
  2/a^14 - 6/a^12 + 3/a^10 + 3/a^8 - 3/a^6 + 2/a^4 + z^2/a^14 - 
   (11*z^2)/a^12 + (15*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (17*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 5049] -> a^(-14) - 3/a^12 + a^(-10) + 
   a^(-8) + a^(-6) - a^(-4) + a^(-2) - (4*z^2)/a^12 + (6*z^2)/a^10 + 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + (5*z^4)/a^10 - z^4/a^8 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5050] -> -4 - a^(-4) + 3/a^2 + 3*a^2 + 2*a^4 - 2*a^6 - 
   14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   9*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 5051] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 - 
   a^6 + 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 5052] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) + a^(-2) - 
   (5*z^2)/a^12 + (12*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + 
   (8*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5053] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - z^2 - z^2/a^2 + 6*a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5054] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 
   6*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5055] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5056] -> -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 
   21*z^2 + (5*z^2)/a^6 - (21*z^2)/a^4 + (34*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5057] -> 
  5 + a^(-6) - 3/a^4 + a^(-2) - 4*a^2 + a^4 + 10*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - 8*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5058] -> 
  -9 - 2/a^4 + 7/a^2 + 5*a^2 + 2*a^4 - 2*a^6 - 21*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 8*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 10*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 5059] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + 2/a^6 + a^(-2) - (5*z^2)/a^12 + 
   (13*z^2)/a^10 - (9*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (8*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5060] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + a^2 + a^4 - a^6 - 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 5061] -> -1 - a^(-6) + 2/a^4 + 2*a^4 - 
   a^6 - z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 5062] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 4*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (25*z^2)/a^4 + (18*z^2)/a^2 - 6*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (29*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5063] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 5064] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 4/a^8 + 2/a^4 + z^2/a^14 - (11*z^2)/a^12 + 
   (20*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^4 - (4*z^4)/a^12 + 
   (18*z^4)/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (5*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5065] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5066] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 5067] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 5068] -> 3 - a^(-2) - a^2 + 3*z^2 - z^2/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5069] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 5070] -> -4 + 2/a^2 + 3*a^2 + 3*a^4 - 
   5*a^6 + 2*a^8 - 10*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 + 6*a^4*z^2 - 
   10*a^6*z^2 + 3*a^8*z^2 - 8*z^4 + z^4/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - 
   8*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 5071] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5072] -> 
  a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 2/a^2 + a^4 - 2*z^2 - (3*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2, Knot[14, Alternating, 5073] -> 
  6 - 2/a^8 + 5/a^6 - 3/a^4 - 3/a^2 - 2*a^2 + 11*z^2 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5074] -> -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 
   7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5075] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 
   z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5076] -> -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 
   7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5077] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 4*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5078] -> 
  -11 + 4/a^2 + 12*a^2 - 4*a^4 - 30*z^2 - (2*z^2)/a^4 + (14*z^2)/a^2 + 
   22*a^2*z^2 - 4*a^4*z^2 - 32*z^4 - (5*z^4)/a^4 + (20*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 16*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5079] -> 
  1 + a^(-4) - a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + z^2 - 9*a^2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 + z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5080] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5081] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 5082] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 
   4*z^2 + 15*a^2*z^2 - 24*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 26*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 5083] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5084] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - a^2*z^2 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5085] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5086] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 4*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 
   4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 5087] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5088] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5089] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5090] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 5091] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 9*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5092] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   9*z^2 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5093] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5094] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5095] -> a^2 + a^4 - a^6 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5096] -> 
  a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 4*a^4*z^2 + 6*a^6*z^2 - 
   13*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 21*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 3*a^4*z^6 + 9*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 
   a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 5097] -> 2*a^4 - a^6 + a^10 - a^12 + a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   3*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5098] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 5099] -> a^(-4) - a^(-2) + a^2 - z^2/a^8 + z^2/a^6 - 
   z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5100] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 - a^4*z^4 + 
   13*a^6*z^4 - 22*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 3*a^4*z^6 + 
   10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 5101] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   21*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5102] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   2*a^2*z^2 - 7*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5103] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 
   12*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 
   22*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5104] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 3*z^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   7*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5105] -> 
  2/a^10 - 6/a^8 + 2/a^6 + 5/a^4 - 2/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (10*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^10 - (6*z^4)/a^8 + 
   (13*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5106] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 - 
   z^4/a^8 + (9*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5107] -> 
  2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 5*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5108] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + z^2/a^10 - (11*z^2)/a^8 + 
   (13*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - (2*z^4)/a^10 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5109] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - z^2 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 - 
   z^4/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5110] -> 
  2 - 2/a^8 + 6/a^6 - 7/a^4 + 3/a^2 - a^2 + 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5111] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 5112] -> a^(-16) - 2/a^14 - 2/a^12 + 3/a^10 + a^(-6) + 
   z^2/a^16 - (6*z^2)/a^14 - z^2/a^12 + (9*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^4)/a^14 + (3*z^4)/a^12 + (11*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 5113] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - 
   (4*z^2)/a^12 + (8*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + (5*z^4)/a^10 - (2*z^4)/a^8 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5114] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (4*z^2)/a^10 - (20*z^2)/a^8 + (22*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - (13*z^4)/a^8 + (24*z^4)/a^6 - (3*z^4)/a^2 - 
   z^6/a^10 - z^6/a^8 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5115] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5116] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + 2*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5117] -> -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) - 
   z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5118] -> 3/a^16 - 9/a^14 + 6/a^12 - a^(-10) + 2/a^8 + 
   (4*z^2)/a^16 - (22*z^2)/a^14 + (18*z^2)/a^12 + (4*z^2)/a^10 + 
   (9*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (21*z^4)/a^12 + (14*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^6)/a^14 + (11*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 5119] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + 
   z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^4)/a^14 + (4*z^4)/a^12 + (12*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 5120] -> -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) - 
   z^2 + (4*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   z^4 - (5*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5121] -> 
  2/a^16 - 6/a^14 + 3/a^12 + a^(-10) + a^(-6) + z^2/a^16 - (9*z^2)/a^14 + 
   (5*z^2)/a^12 + (8*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^4)/a^14 + 
   (6*z^4)/a^12 + (10*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^12 + 
   (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5122] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 3/a^10 + a^(-6) - (3*z^2)/a^14 - z^2/a^12 + 
   (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 5123] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5124] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 
   3*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5125] -> -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 - 
   3*z^2 - z^2/a^6 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, Alternating, 5126] -> -a^(-8) + 3/a^6 - 6/a^4 + 
   6/a^2 - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 5127] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (5*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   z^4/a^12 + (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5128] -> 
  -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5129] -> 1 - a^(-2) + 2*a^2 - a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5130] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 2/a^8 - a^(-6) + 2/a^4 + z^2/a^14 - 
   (10*z^2)/a^12 + (15*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^4)/a^12 + (12*z^4)/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5131] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - a^(-6) + 
   a^(-2) - (3*z^2)/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 + (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5132] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (5*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   z^4/a^12 + (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5133] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5134] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - a^2 + 2*a^4 - a^6 - 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 5135] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + a^(-6) + a^(-2) - (4*z^2)/a^12 + 
   (9*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 + (5*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5136] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) - z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 5137] -> 
  -5 - 2/a^4 + 6/a^2 + a^2 + 2*a^4 - a^6 - 18*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 10*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 5138] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5139] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 3/a^6 + a^(-2) - (4*z^2)/a^12 + 
   (13*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^10 - 
   (7*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5140] -> -a^(-8) + 3/a^6 - 6/a^4 + 6/a^2 - a^2 + 
   5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5141] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 3/a^6 + 
   a^(-2) - (4*z^2)/a^12 + (13*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (6*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5142] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - a^2 + 2*a^4 - a^6 + 7*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 5143] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 7/a^6 + 2/a^4 - a^(-2) - z^2/a^12 + 
   (10*z^2)/a^10 - (30*z^2)/a^8 + (28*z^2)/a^6 - (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (31*z^4)/a^6 - (3*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5144] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5145] -> -3 - a^(-6) + 2/a^4 + a^(-2) + a^2 + 2*a^4 - 
   a^6 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 5146] -> 
  3 - a^(-2) - a^2 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5147] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 4*z^2 - z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5148] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5149] -> 1 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5150] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 5151] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 5*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 5152] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 - 5*a^2*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 5153] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5154] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, Alternating, 5155] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   4*z^4 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5156] -> 
  -1 + a^(-10) - 3/a^8 + 5/a^6 - 3/a^4 + 2*a^2 - 4*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 5157] -> a^(-10) - 2/a^8 + 2/a^6 - a^(-2) + 
   a^4 - 2*z^2 - (3*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[14, Alternating, 5158] -> 5 - 2/a^8 + 5/a^6 - 4/a^4 - a^(-2) - 2*a^2 + 
   9*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5159] -> -a^(-8) + 2/a^6 - a^(-4) + 2*a^2 - a^4 - 
   z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 5160] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 5161] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5162] -> 2 + a^(-4) - 2/a^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 5163] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 5164] -> 
  -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 5*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 5165] -> 1 + a^(-4) - a^(-2) - a^2 + 
   2*a^6 - a^8 + z^2 - z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 
   z^4/a^4 - 2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 5166] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 4*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5167] -> 
  1 - a^2 + a^4 + a^8 - a^10 + 2*z^2 - a^2*z^2 - a^4*z^2 + 3*a^8*z^2 - 
   z^4/a^2 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 5168] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5169] -> -a^(-6) + a^(-4) + a^(-2) + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5170] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5171] -> 
  2 - 4*a^4 + 4*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5172] -> 
  3*a^4 - 2*a^6 + 5*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 5173] -> 2 - 2*a^2 + a^4 + 2*z^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 5174] -> 3 - a^(-2) - a^2 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5175] -> 
  -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^4 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5176] -> 
  1 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5177] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5178] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 3*z^2 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5179] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   z^2/a^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 5180] -> 
  1 - z^2 + 2*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5181] -> 2 - a^2 - a^4 + a^6 - z^2 + 4*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5182] -> 
  a^(-2) - a^4 + a^6 + z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5183] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - (2*z^4)/a^2 + 10*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 5184] -> 1 - a^6 + 2*a^8 - a^10 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, Alternating, 5185] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5186] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 5187] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 7*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5188] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 5189] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 + 
   2*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5190] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 
   4*a^6*z^2 - 11*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 
   20*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 3*a^4*z^6 + 9*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 5191] -> a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5192] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 13*a^8*z^2 + 
   11*a^10*z^2 - 3*a^12*z^2 - 3*a^4*z^4 + 17*a^6*z^4 - 23*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 5193] -> a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5194] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 5195] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 9*a^8*z^2 + 
   2*a^10*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 5196] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5197] -> -3 + 9*a^2 - 6*a^4 + a^6 - 3*z^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 + 5*z^4 + 4*a^2*z^4 - 24*a^4*z^4 + 
   11*a^6*z^4 + 5*z^6 - 9*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + z^8 - 
   6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 5198] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 5*z^2 - 
   z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5199] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 7*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5200] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 5*z^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - 
   5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 5201] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + 
   (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 5202] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 5203] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   4*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (27*z^2)/a^4 + (18*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (34*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (17*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5204] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (26*z^2)/a^8 + (25*z^2)/a^6 - (4*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (31*z^4)/a^8 + (33*z^4)/a^6 - (8*z^4)/a^4 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (21*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, Alternating, 5205] -> 3/a^16 - 10/a^14 + 6/a^12 + 
   2/a^10 + (7*z^2)/a^16 - (37*z^2)/a^14 + (31*z^2)/a^12 + (15*z^2)/a^10 + 
   (5*z^4)/a^16 - (44*z^4)/a^14 + (58*z^4)/a^12 + (29*z^4)/a^10 + z^6/a^16 - 
   (20*z^6)/a^14 + (46*z^6)/a^12 + (23*z^6)/a^10 - (3*z^8)/a^14 + 
   (16*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 5206] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (3*z^2)/a^16 - (17*z^2)/a^14 + (7*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + (13*z^4)/a^12 + (28*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^6)/a^14 + (9*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5207] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + (2*z^2)/a^16 - (9*z^2)/a^14 - 
   (6*z^2)/a^12 + (23*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 + 
   (4*z^4)/a^12 + (30*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 5208] -> -4*a^6 + 13*a^8 - 8*a^10 - 22*a^6*z^2 + 
   68*a^8*z^2 - 32*a^10*z^2 - 40*a^6*z^4 + 123*a^8*z^4 - 46*a^10*z^4 - 
   29*a^6*z^6 + 106*a^8*z^6 - 30*a^10*z^6 - 9*a^6*z^8 + 48*a^8*z^8 - 
   9*a^10*z^8 - a^6*z^10 + 11*a^8*z^10 - a^10*z^10 + a^8*z^12, 
 Knot[14, Alternating, 5209] -> -a^4 + 8*a^8 - 6*a^10 - 6*a^4*z^2 + 
   6*a^6*z^2 + 30*a^8*z^2 - 17*a^10*z^2 - 11*a^4*z^4 + 17*a^6*z^4 + 
   39*a^8*z^4 - 17*a^10*z^4 - 6*a^4*z^6 + 17*a^6*z^6 + 25*a^8*z^6 - 
   7*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 5210] -> -2*a^4 + 4*a^6 + 3*a^8 - 4*a^10 - 
   9*a^4*z^2 + 18*a^6*z^2 + 15*a^8*z^2 - 12*a^10*z^2 - 12*a^4*z^4 + 
   26*a^6*z^4 + 25*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 19*a^6*z^6 + 
   19*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 5211] -> 
  -3*a^6 + 11*a^8 - 7*a^10 - 4*a^4*z^2 + 35*a^8*z^2 - 18*a^10*z^2 - 
   10*a^4*z^4 + 13*a^6*z^4 + 41*a^8*z^4 - 17*a^10*z^4 - 6*a^4*z^6 + 
   16*a^6*z^6 + 25*a^8*z^6 - 7*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 8*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 5212] -> 
  -a^4 + a^6 + 6*a^8 - 5*a^10 - a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 + 
   12*a^8*z^2 - 8*a^10*z^2 - 3*a^2*z^4 + 17*a^6*z^4 + 10*a^8*z^4 - 
   5*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5213] -> 
  -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 2*a^2*z^2 - a^4*z^2 + 14*a^6*z^2 + 
   6*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 16*a^6*z^4 + 7*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5214] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (27*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (32*z^4)/a^6 - (31*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 5215] -> -2*a^4 + 4*a^6 + 3*a^8 - 4*a^10 - 
   a^2*z^2 - 4*a^4*z^2 + 15*a^6*z^2 + 10*a^8*z^2 - 8*a^10*z^2 - 3*a^2*z^4 + 
   18*a^6*z^4 + 10*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5216] -> -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 2*a^2*z^2 + 
   2*a^4*z^2 + 11*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 - z^4 - a^2*z^4 + 
   5*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 5217] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + (4*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (10*z^4)/a^8 + (4*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5218] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + 
   z^2/a^16 - (7*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^4)/a^14 + (5*z^4)/a^12 + (8*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 5219] -> -a^2 + 2*a^4 - a^6 + 5*a^8 - 4*a^10 - 
   4*a^2*z^2 + 8*a^4*z^2 + 15*a^8*z^2 - 8*a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   4*a^6*z^4 + 14*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5220] -> -a^2 + 2*a^4 + 3*a^8 - 3*a^10 - z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - z^4 + a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 5221] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 5222] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (19*z^2)/a^10 - (16*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5223] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - 
   2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - (3*z^6)/a^6 + z^6/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 5224] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + z^2/a^16 - (6*z^2)/a^14 - (5*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + (17*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 5225] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 9*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (35*z^2)/a^4 + (31*z^2)/a^2 - 
   10*z^4 - z^4/a^8 + (13*z^4)/a^6 - (37*z^4)/a^4 + (37*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (17*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5226] -> 
  2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 + (3*z^2)/a^14 - (19*z^2)/a^12 + 
   (27*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + z^4/a^14 - (14*z^4)/a^12 + 
   (36*z^4)/a^10 - (21*z^4)/a^8 + (12*z^4)/a^6 - (3*z^6)/a^12 + 
   (18*z^6)/a^10 - (18*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, Alternating, 5227] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 + z^2/a^14 - (7*z^2)/a^12 + 
   (7*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^12 + 
   (9*z^4)/a^10 + z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5228] -> -3 + 9*a^2 - 6*a^4 + a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 29*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   35*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5229] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5230] -> -3*a^4 + 8*a^6 - 2*a^8 - 2*a^10 - 
   13*a^4*z^2 + 30*a^6*z^2 + 3*a^8*z^2 - 9*a^10*z^2 - 16*a^4*z^4 + 
   39*a^6*z^4 + 16*a^8*z^4 - 12*a^10*z^4 - 7*a^4*z^6 + 25*a^6*z^6 + 
   17*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 5231] -> 
  -a^2 + a^4 + 3*a^6 - 2*a^10 - 4*a^2*z^2 + 3*a^4*z^2 + 14*a^6*z^2 + 
   2*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 18*a^6*z^4 + 5*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5232] -> 
  -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 3*a^2*z^2 - 2*a^4*z^2 + 22*a^6*z^2 - 
   3*a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 3*a^4*z^4 + 22*a^6*z^4 + 3*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5233] -> 
  -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - z^2 - 2*a^2*z^2 + 6*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - z^4 + 7*a^4*z^4 + 8*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 5234] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (19*z^2)/a^10 - (16*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5235] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (23*z^2)/a^8 + (22*z^2)/a^6 - (2*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (26*z^4)/a^6 - (3*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5236] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (40*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (41*z^4)/a^6 - (33*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + (18*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 5237] -> a^(-12) - 4/a^10 + 4/a^8 - 
   2/a^4 + 2/a^2 + z^2/a^12 - (8*z^2)/a^10 + (14*z^2)/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, Alternating, 5238] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5239] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (40*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (41*z^4)/a^6 - (33*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + (18*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 5240] -> -4*a^4 + 12*a^6 - 7*a^8 - 
   16*a^4*z^2 + 42*a^6*z^2 - 12*a^8*z^2 - 4*a^10*z^2 - 17*a^4*z^4 + 
   48*a^6*z^4 + 2*a^8*z^4 - 8*a^10*z^4 - 7*a^4*z^6 + 27*a^6*z^6 + 
   11*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 5241] -> 
  -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 4*a^2*z^2 + 24*a^6*z^2 - 9*a^8*z^2 - 
   2*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 21*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 5242] -> -4 + 13*a^2 - 11*a^4 + 3*a^6 - 
   20*z^2 + (4*z^2)/a^2 + 39*a^2*z^2 - 27*a^4*z^2 + 6*a^6*z^2 - 23*z^4 + 
   (4*z^4)/a^2 + 42*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 5243] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 
   11*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^4*z^2 + 2*a^6*z^2 + 9*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5244] -> -2*a^2 + 5*a^4 - 2*a^6 + 2*a^8 - 2*a^10 - 
   7*a^2*z^2 + 15*a^4*z^2 - a^6*z^2 + 7*a^8*z^2 - 5*a^10*z^2 - 5*a^2*z^4 + 
   14*a^4*z^4 + 4*a^6*z^4 + 9*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5245] -> -2*a^2 + 5*a^4 - a^6 - a^10 - 2*z^2 + 
   8*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   6*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 5246] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5247] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 2*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 5248] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + 
   a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5249] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, Alternating, 5250] -> -1 + 2*a^2 + 2*a^8 - 2*a^10 - 
   3*z^2 + 5*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - z^4 + 
   4*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, Alternating, 5251] -> 
  -1 + 2*a^2 + a^6 - a^10 - z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + a^8*z^4, 
 Knot[14, Alternating, 5252] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - z^4/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5253] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5254] -> a^(-4) - a^(-2) + a^2 - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 5255] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (10*z^4)/a^8 + (17*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5256] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5257] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   7*a^2*z^2 - 16*a^4*z^2 + 23*a^6*z^2 - 17*a^8*z^2 + 6*a^10*z^2 + 
   5*a^2*z^4 - 23*a^4*z^4 + 28*a^6*z^4 - 23*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   12*a^4*z^6 + 19*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 5258] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 14*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   21*a^4*z^2 + 7*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 25*a^4*z^4 + 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5259] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 
   7*a^8*z^2 + 3*a^10*z^2 + z^4 - 5*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 
   7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5260] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 5261] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 
   3*a^8 - 4*z^2 + 15*a^2*z^2 - 21*a^4*z^2 + 22*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 
   20*a^2*z^4 - 30*a^4*z^4 + 25*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   20*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 5262] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5263] -> 
  -1 + a^(-4) + a^4 - 2*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (5*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5264] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   8*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 
   8*z^4 + z^4/a^2 + 6*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 5265] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 2*z^2 + z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 5266] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 3*z^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 + z^4 - 
   6*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5267] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + z^2 + 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*z^4 - 
   3*a^2*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 5268] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*a^4 - 
   8*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 3*z^4 + z^4/a^6 - (12*z^4)/a^4 + (19*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 5269] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (16*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5270] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5271] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 19*z^2 - (7*z^2)/a^4 + (18*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 - 26*z^4 - (5*z^4)/a^4 + (24*z^4)/a^2 + 
   24*a^2*z^4 - 5*a^4*z^4 - 19*z^6 - z^6/a^4 + (12*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5272] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5273] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 5274] -> 
  -a^(-4) + 2/a^2 - z^2/a^6 + (2*z^2)/a^2 + a^2*z^2 - a^6*z^2 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 5275] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   7*a^2*z^2 - 17*a^4*z^2 + 22*a^6*z^2 - 17*a^8*z^2 + 6*a^10*z^2 + 
   5*a^2*z^4 - 23*a^4*z^4 + 28*a^6*z^4 - 23*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   12*a^4*z^6 + 19*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 5276] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5277] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 3*z^2 + 13*a^2*z^2 - 23*a^4*z^2 + 
   23*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 31*a^4*z^4 + 25*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5278] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 - 
   5*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 
   5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5279] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 5280] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 5*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 5281] -> 
  -2 + 7*a^2 - 9*a^4 + 9*a^6 - 4*a^8 - 7*z^2 + 24*a^2*z^2 - 30*a^4*z^2 + 
   27*a^6*z^2 - 8*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 35*a^4*z^4 + 27*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5282] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5283] -> 
  -2 + a^(-8) - a^(-6) + 2/a^2 - a^2 + 2*a^4 - 6*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 5284] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + 3*z^2 - 
   8*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   7*a^2*z^4 + 5*a^4*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5285] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5286] -> 
  -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 5287] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, Alternating, 5288] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 
   4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5289] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5290] -> a^4 + a^6 - 3*a^8 + 5*a^10 - 3*a^12 + 
   2*a^4*z^2 + 11*a^6*z^2 - 17*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 - 
   3*a^4*z^4 + 18*a^6*z^4 - 27*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   14*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 5291] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 
   z^2 + 9*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   18*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5292] -> 2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + 
   7*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5293] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5294] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5295] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5296] -> -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5297] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5298] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 4*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5299] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5300] -> -11 + 4/a^2 + 12*a^2 - 4*a^4 - 30*z^2 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 32*z^4 - 
   (5*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 16*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5301] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 
   13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 25*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 4*z^6 + 14*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5302] -> 
  2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 3*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 
   13*a^10*z^2 - 3*a^12*z^2 - 3*a^4*z^4 + 16*a^6*z^4 - 24*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 5303] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5304] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 9*a^8*z^2 + 
   2*a^10*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 
   4*a^2*z^6 - 15*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 5305] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - z^2/a^2 - 10*a^2*z^2 + 5*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5306] -> a^2 - a^8 + 3*a^10 - 2*a^12 + a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5307] -> 
  a^(-2) - 2*a^4 + 3*a^6 - a^8 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5308] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 12*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5309] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5310] -> 
  a^4 + 2*a^6 - 2*a^8 - a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 20*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   10*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 5311] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5312] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 4*a^4*z^2 + 15*a^6*z^2 - 
   11*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 22*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5313] -> -3 - a^(-4) + 4/a^2 + a^4 - 4*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5314] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + (3*z^2)/a^16 - 
   (13*z^2)/a^14 - z^2/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - 
   (14*z^4)/a^14 + (10*z^4)/a^12 + (31*z^4)/a^10 + (6*z^4)/a^8 - 
   (4*z^6)/a^14 + (11*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5315] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5316] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 13*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 + (3*z^4)/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 + 
   (4*z^6)/a^4 - (6*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 5317] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 + z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 5318] -> 3/a^16 - 10/a^14 + 6/a^12 + 
   2/a^10 + (4*z^2)/a^16 - (25*z^2)/a^14 + (19*z^2)/a^12 + (15*z^2)/a^10 + 
   (3*z^2)/a^8 + z^4/a^16 - (19*z^4)/a^14 + (27*z^4)/a^12 + (26*z^4)/a^10 + 
   (7*z^4)/a^8 - (4*z^6)/a^14 + (16*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5319] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (10*z^2)/a^14 + 
   (3*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5320] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (15*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5321] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (7*z^4)/a^10 - (18*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5322] -> 
  -2*a^6 + 9*a^8 - 6*a^10 - 3*a^4*z^2 + 2*a^6*z^2 + 27*a^8*z^2 - 
   14*a^10*z^2 - 7*a^4*z^4 + 10*a^6*z^4 + 32*a^8*z^4 - 13*a^10*z^4 - 
   5*a^4*z^6 + 12*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 5323] -> -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - a^2*z^2 - 
   a^4*z^2 + 10*a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 - 2*a^2*z^4 + 13*a^6*z^4 + 
   8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5324] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 + z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6 + z^6/a^8 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5325] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (4*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + (3*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 5326] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5327] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 2*a^2*z^2 + 14*a^6*z^2 + 2*a^8*z^2 - 
   4*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 14*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5328] -> 
  -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - z^2 + 5*a^4*z^2 + 4*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 5329] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (24*z^2)/a^4 + (22*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5330] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 25*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 32*z^4 - z^4/a^4 + (14*z^4)/a^2 + 29*a^2*z^4 - 
   8*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5331] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5332] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - a^2*z^2 - 
   5*a^4*z^2 + 21*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   24*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5333] -> 2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (16*z^2)/a^8 + (30*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (31*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 5334] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + z^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (26*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (15*z^4)/a^4 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5335] -> 
  -3 + 11*a^2 - 10*a^4 + 3*a^6 - 11*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 
   22*a^4*z^2 + 6*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5336] -> 
  -7 + 2/a^6 - 10/a^4 + 15/a^2 + a^2 - 19*z^2 + (5*z^2)/a^6 - (24*z^2)/a^4 + 
   (38*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + 
   (41*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5337] -> -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 
   2*a^2*z^2 - 7*a^4*z^2 + 34*a^6*z^2 - 17*a^8*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   32*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5338] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + (21*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5339] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5340] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 26*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   18*a^2*z^2 - 4*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5341] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   6*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5342] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 5343] -> 2/a^14 - 7/a^12 + 6/a^10 - 
   2/a^8 + 2/a^6 + z^2/a^14 - (11*z^2)/a^12 + (17*z^2)/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5344] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 + 
   (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (5*z^4)/a^10 - z^4/a^8 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5345] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 3*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (20*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5346] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (22*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 5347] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (2*z^2)/a^4 + z^4 + z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 5348] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 2*a^2*z^2 - 5*a^4*z^2 + 27*a^6*z^2 - 9*a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 29*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5349] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 
   4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5350] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5351] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 15*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + 
   (27*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5352] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - z^2 - a^2*z^2 + 
   3*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 - z^4 + 5*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 5353] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5354] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (15*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (15*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5355] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5356] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 5357] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 5358] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 2/a^2 + z^2 - (4*z^2)/a^10 + 
   (9*z^2)/a^8 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 5359] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 10*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5360] -> 
  -3 + a^(-8) - 4/a^6 + 3/a^4 + 3/a^2 + a^2 - 8*z^2 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (7*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 5361] -> -2*a^2 + 5*a^4 - 2*a^8 - z^2 - 3*a^2*z^2 + 
   10*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - z^4 + 8*a^4*z^4 + 
   7*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 5362] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - 
   z^4 - (5*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5363] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (6*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 5364] -> 
  -2 - a^(-8) + 2/a^6 + 2*a^2 - 4*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   3*a^2*z^2 - a^4*z^2 - z^4 - (3*z^4)/a^4 + 2*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, Alternating, 5365] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5366] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 5367] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5368] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 - a^4*z^2 + 3*z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 5369] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + 
   a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5370] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5371] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 5372] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   6*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5373] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 5374] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 5375] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5376] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 13*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 12*z^4 + 
   z^4/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 5377] -> -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 
   10*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 + z^4/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5378] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + z^4 - 4*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5379] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (17*z^2)/a^10 - (15*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (9*z^4)/a^10 - (12*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5380] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (18*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5381] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 2*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5382] -> 
  a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 5383] -> -3 + a^(-8) - a^(-6) + 2/a^2 + a^2 + a^4 - 
   7*z^2 + z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 5384] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 2*a^10*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 5385] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 
   z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   z^4 + z^4/a^6 - (5*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5386] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 5387] -> -1 + a^(-4) + a^4 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 5388] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^6 + a^8 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 5389] -> a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 
   a^4 + z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 5390] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   5*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 5391] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^2 + a^4*z^2 - 2*a^6*z^2 + a^10*z^2 - 
   2*z^4 - a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 5392] -> -1 + a^(-6) - a^(-4) + a^(-2) + 
   a^4 - 3*z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 5393] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 
   5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5394] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5395] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5396] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 
   3*a^4 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 
   22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 5397] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 5398] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5399] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5400] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 + z^2/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 5401] -> 2 + a^(-4) - 2/a^2 + 2*a^2 - 
   4*a^4 + 2*a^6 + 4*z^2 + z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5402] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 5403] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5404] -> -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5405] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 5406] -> 
  -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 4*a^4*z^2 - 
   a^6*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5407] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5408] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 5409] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - (5*z^4)/a^4 + (19*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5410] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 5411] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 
   z^2 + 3*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5412] -> -3 + a^(-4) + 4*a^2 - a^4 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - (5*z^4)/a^4 + 
   (17*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5413] -> 2 - 2*a^2 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5414] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5415] -> 1 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5416] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5417] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5418] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 3*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 5419] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5420] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 3*a^2*z^2 - 
   a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5421] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5422] -> 
  1 - 3*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5423] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 
   4*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 5424] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 13*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 5425] -> a^2 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 2*a^2*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - z^4 + a^6*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 5426] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^16 - 
   (3*z^2)/a^14 - (8*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   (4*z^4)/a^14 + z^4/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 5427] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (17*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + (8*z^4)/a^10 - (19*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 5428] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 + (6*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (13*z^4)/a^8 + (15*z^4)/a^6 - (2*z^4)/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5429] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5430] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (7*z^2)/a^14 - 
   (4*z^2)/a^12 + (15*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + 
   (5*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5431] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 19*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (28*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + 
   (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5432] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   (5*z^2)/a^12 + (12*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + 
   (10*z^4)/a^10 - (13*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 + 
   z^6/a^10 - (10*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5433] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (6*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5434] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 3*z^2 - 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (21*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   (13*z^4)/a^6 - (24*z^4)/a^4 + z^6 + z^6/a^8 + z^6/a^6 - (13*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5435] -> a^(-14) - 5/a^12 + 7/a^10 - 5/a^8 + 2/a^6 + 
   a^(-4) - (6*z^2)/a^12 + (16*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (12*z^4)/a^10 - (15*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 + z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5436] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 20*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (25*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (2*z^4)/a^6 - (16*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5437] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 4*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (17*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5438] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 - z^2/a^2 - (9*z^4)/a^8 + 
   (19*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5439] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (8*z^4)/a^2 + (4*z^6)/a^8 - (6*z^6)/a^6 - (14*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 5440] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5441] -> -a^(-10) - a^(-8) + 3/a^6 + (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5442] -> -a^6 + 7*a^8 - 5*a^10 - 2*a^4*z^2 + a^6*z^2 + 
   25*a^8*z^2 - 13*a^10*z^2 - 7*a^4*z^4 + 9*a^6*z^4 + 31*a^8*z^4 - 
   13*a^10*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 5443] -> 5*a^8 - 4*a^10 - 2*a^4*z^2 + 8*a^6*z^2 + 
   10*a^8*z^2 - 6*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 + 8*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5444] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - a^2*z^2 - a^4*z^2 + 11*a^6*z^2 + 
   6*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 + 6*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5445] -> 
  -a^4 + 4*a^6 - 2*a^10 - a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 5446] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - (6*z^2)/a^12 + (13*z^2)/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (12*z^4)/a^10 - (13*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 + z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5447] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^12 + 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5448] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - 
   (20*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5449] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5450] -> -a^4 + 4*a^6 - 2*a^10 - 5*a^4*z^2 + 
   17*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 - a^2*z^4 - 5*a^4*z^4 + 21*a^6*z^4 + 
   2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 12*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5451] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - a^2*z^2 - 4*a^4*z^2 + 20*a^6*z^2 - 
   3*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 23*a^6*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5452] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (12*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5453] -> -3/a^8 + 4/a^6 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5454] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5455] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5456] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 26*z^2 - 
   (4*z^2)/a^4 + (20*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5457] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 5458] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5459] -> 2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + 
   (4*z^2)/a^10 - (20*z^2)/a^8 + (32*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (36*z^4)/a^6 - (20*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (21*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 5460] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5461] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - a^2*z^2 - 
   8*a^4*z^2 + 31*a^6*z^2 - 13*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 - 4*a^4*z^4 + 
   32*a^6*z^4 - 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 16*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5462] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 4*a^2*z^2 + 
   7*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - z^4 - 2*a^2*z^4 + 
   8*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 5463] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5464] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 5465] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 5466] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 3*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - (26*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 5467] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5468] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5469] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 5470] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5471] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 5472] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5473] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5474] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5475] -> 
  1 + a^(-10) - 3/a^8 + 6/a^6 - 7/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (15*z^2)/a^6 - (13*z^2)/a^4 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5476] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (9*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5477] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5478] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5479] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 - 2*z^2 + 
   12*a^2*z^2 - 25*a^4*z^2 + 27*a^6*z^2 - 8*a^8*z^2 - 3*z^4 + 17*a^2*z^4 - 
   33*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 21*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5480] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5481] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5482] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5483] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^8 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5484] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 6*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5485] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5486] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5487] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5488] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5489] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 5490] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5491] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 4*z^2 - 
   z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5492] -> 
  -1 + a^(-4) + a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5493] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5494] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5495] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 5496] -> a^4 + 2*a^6 - 5*a^8 + 6*a^10 - 3*a^12 + 
   2*a^4*z^2 + 12*a^6*z^2 - 20*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 - 
   3*a^4*z^4 + 18*a^6*z^4 - 28*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   14*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 5497] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 
   2*a^12 + 7*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5498] -> 3*a^4 - 4*a^6 + 3*a^8 - a^12 + 2*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 - z^4 + a^4*z^4 - 
   4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 5499] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 17*a^4*z^2 + 22*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 24*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 5500] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 5501] -> a^(-2) - a^2 + 2*a^6 - a^8 + z^2 - 
   4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5502] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 - z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5503] -> 
  -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5504] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5505] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5506] -> 
  2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5507] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   7*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - (2*z^4)/a^2 + 9*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 5508] -> 2 - a^2 - a^4 + 2*a^8 - a^10 + 
   z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, Alternating, 5509] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 6*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 5510] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 
   13*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 22*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5511] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5512] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5513] -> -1 + a^(-4) + a^4 - 7*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5514] -> 1 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 5515] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5516] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 
   13*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5517] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5518] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5519] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5520] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 3*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5521] -> a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 5522] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + z^4/a^8 + (9*z^4)/a^6 - 
   (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - (12*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5523] -> 
  -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 + z^2 - z^2/a^10 + (8*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 5524] -> 
  -3/a^10 + 3/a^8 + a^(-6) + z^2/a^12 - (5*z^2)/a^10 + (6*z^2)/a^8 + 
   (7*z^2)/a^6 + (6*z^4)/a^12 - (8*z^4)/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 5525] -> -2/a^10 + a^(-8) + 2/a^6 + z^2/a^12 - 
   (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5526] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - (2*z^2)/a^10 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5527] -> 5*a^8 - 4*a^10 - a^4*z^2 + a^6*z^2 + 
   21*a^8*z^2 - 11*a^10*z^2 - 6*a^4*z^4 + 7*a^6*z^4 + 28*a^8*z^4 - 
   12*a^10*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 19*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 5528] -> a^6 + 3*a^8 - 3*a^10 - a^4*z^2 + 7*a^6*z^2 + 
   8*a^8*z^2 - 5*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 11*a^6*z^4 + 7*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5529] -> 
  2*a^6 + a^8 - 2*a^10 - a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 - 
   2*a^2*z^4 + 10*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5530] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   z^2/a^10 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 5531] -> a^4 + 2*a^8 - 2*a^10 + 2*a^4*z^2 + 
   3*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 5532] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - 
   z^2/a^10 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 5533] -> 2*a^6 + a^8 - 2*a^10 + a^4*z^2 + 
   6*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   5*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 5534] -> -2 - 3/a^4 + 6/a^2 - 13*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5535] -> -3 - a^(-6) + 4/a^2 + a^2 - 8*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 5536] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (17*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^12 + (10*z^4)/a^10 - 
   (23*z^4)/a^8 + (19*z^4)/a^6 - (4*z^4)/a^4 + (3*z^6)/a^10 - (14*z^6)/a^8 + 
   (15*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, Alternating, 5537] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   a^(-4) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 5538] -> 
  -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (12*z^2)/a^10 - 
   (16*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (5*z^4)/a^10 - (15*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5539] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5540] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 5541] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 
   3*a^2 + 2*a^4 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5542] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5543] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   3*a^4 + a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5544] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5545] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 5546] -> -1 + a^(-4) + a^2 - a^6 + a^8 - 
   3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 + 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 5547] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - a^4*z^2 + a^8*z^2 - 2*z^4 - 
   (2*z^4)/a^2 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 5548] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - 3*z^2 - 
   (4*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 5549] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5550] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5551] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5552] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5553] -> 2*a^4 - a^6 + a^10 - a^12 + 5*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5554] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (15*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 5555] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (11*z^2)/a^10 - (13*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (5*z^4)/a^10 - (14*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5556] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (12*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (6*z^4)/a^10 - (13*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5557] -> -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5558] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 4*z^2 + 4*a^2*z^2 + a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5559] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5560] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 8*a^2*z^2 + 
   6*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - 8*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5561] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5562] -> 2 - 3*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   2*z^2 - 6*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 5563] -> 2*a^4 + a^6 - 5*a^8 + 5*a^10 - 
   2*a^12 + 3*a^4*z^2 + 8*a^6*z^2 - 17*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 - 
   3*a^4*z^4 + 16*a^6*z^4 - 25*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   14*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 5564] -> 4*a^4 - 5*a^6 + 2*a^8 + a^10 - 
   a^12 + 7*a^4*z^2 - 6*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5565] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5566] -> a^2 + a^4 - a^6 - 2*a^8 + 4*a^10 - 2*a^12 + 
   a^2*z^2 + 3*a^4*z^2 - 7*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5567] -> 
  2*a^2 - a^4 - a^6 + a^8 + a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 
   3*a^10*z^2 - z^4 + a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 5568] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + 
   a^10 + 5*a^2*z^2 - 15*a^4*z^2 + 20*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   6*a^2*z^4 - 22*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 5569] -> -1 - 2/a^4 + 4/a^2 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5570] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5571] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5572] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5573] -> -3 + a^(-2) + 4*a^2 - a^6 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5574] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5575] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 5576] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5577] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5578] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5579] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + 
   13*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 7*z^4 + z^4/a^2 + 18*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5580] -> a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 
   2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5581] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^4 + a^6 + z^2 - (3*z^2)/a^4 + z^2/a^2 - 
   3*a^4*z^2 + 3*z^4 + z^4/a^6 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 5582] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + (3*z^4)/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5583] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 5584] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + 
   a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5585] -> -8 + 2/a^2 + 15*a^2 - 11*a^4 + 3*a^6 - 
   20*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 5586] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (2*z^2)/a^2 + (3*z^4)/a^10 - (8*z^4)/a^8 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 5587] -> 
  3/a^16 - 7/a^14 + a^(-12) + 3/a^10 + a^(-8) + (4*z^2)/a^16 - 
   (20*z^2)/a^14 + (10*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - 
   (15*z^4)/a^14 + (18*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 - 
   (3*z^6)/a^14 + (11*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5588] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + (4*z^4)/a^12 + 
   (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5589] -> 
  a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (4*z^2)/a^12 + (8*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5590] -> 
  -4*a^2 + 7*a^4 + 2*a^6 - 4*a^8 - 14*a^2*z^2 + 22*a^4*z^2 + 17*a^6*z^2 - 
   14*a^8*z^2 - 16*a^2*z^4 + 31*a^4*z^4 + 30*a^6*z^4 - 16*a^8*z^4 - 
   7*a^2*z^6 + 23*a^4*z^6 + 23*a^6*z^6 - 7*a^8*z^6 - a^2*z^8 + 8*a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^4*z^10 + a^6*z^10, Knot[14, Alternating, 5591] -> 
  -1 - a^2 + 5*a^4 + a^6 - 3*a^8 - 4*z^2 - a^2*z^2 + 16*a^4*z^2 + 6*a^6*z^2 - 
   7*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 20*a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 11*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 5592] -> -2 + 2*a^2 + 3*a^4 - 2*a^8 - 
   5*z^2 + 3*a^2*z^2 + 14*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 
   5*a^2*z^4 + 18*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5593] -> -2 + 2*a^2 + 3*a^4 - 2*a^8 - 3*z^2 - 
   z^2/a^2 + 5*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - z^4/a^2 + 
   7*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 5594] -> 
  -a^(-12) + 2/a^10 - 3/a^6 + 2/a^4 + a^(-2) - z^2 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5595] -> 
  a^(-16) - 2/a^14 - a^(-10) + 2/a^8 + a^(-6) - (3*z^2)/a^14 + (2*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 5596] -> 
  1 - a^(-2) + 2*a^4 + a^6 - 2*a^8 + z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 
   6*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 
   6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 5597] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5598] -> 
  a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - (3*z^2)/a^14 - 
   (3*z^2)/a^12 + (6*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^12 + (6*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 5599] -> 3 - 2/a^8 + 5/a^6 - 4/a^4 - a^2 + 8*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5600] -> 
  2/a^14 - 5/a^12 + a^(-10) + 3/a^8 - a^(-6) + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^4)/a^12 + (10*z^4)/a^10 + (4*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5601] -> a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + a^(-4) - 
   (3*z^2)/a^12 + z^2/a^10 + (5*z^2)/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   (3*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 5602] -> -3 + 5*a^2 + a^4 - a^6 - a^8 - 
   7*z^2 + 10*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 
   15*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - z^6 + 5*a^2*z^6 + 10*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5603] -> -a^(-2) + 3*a^2 - a^8 - (2*z^2)/a^2 + 
   6*a^2*z^2 + 5*a^4*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 5604] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5605] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - z^4 - (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5606] -> 1 + 2/a^10 - 7/a^8 + 5/a^6 + 3/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 
   z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5607] -> -4 + 8*a^2 - a^4 - 2*a^6 - 8*z^2 + 
   14*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 11*a^2*z^4 + 
   13*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - z^6 + 5*a^2*z^6 + 9*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5608] -> 3 - 2/a^2 + a^2 - a^4 + a^6 - a^8 + 4*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 5609] -> 
  1 - a^(-4) + a^(-2) + a^6 - a^8 + 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4, Knot[14, Alternating, 5610] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 
   7*z^2 + 22*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   27*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5611] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5612] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 14*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   4*a^2*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5613] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5614] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 5615] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   29*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (32*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (37*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5616] -> 
  -3 + a^(-6) - 4/a^4 + 7/a^2 - 2*a^2 + 2*a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (12*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5617] -> 
  -5 + 2/a^6 - 6/a^4 + 9/a^2 - a^2 + 2*a^4 - 9*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (20*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (20*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5618] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 7*z^2 - 
   (5*z^2)/a^8 + (20*z^2)/a^6 - (31*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (22*z^4)/a^6 - (35*z^4)/a^4 + (26*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (21*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 5619] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5620] -> 
  -17 - 2/a^4 + 9/a^2 + 17*a^2 - 6*a^4 - 43*z^2 - (5*z^2)/a^4 + 
   (24*z^2)/a^2 + 36*a^2*z^2 - 9*a^4*z^2 - 43*z^4 - (4*z^4)/a^4 + 
   (24*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 23*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5621] -> -3 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 - a^2 + 
   2*a^4 - 6*z^2 + z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 5622] -> a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 
   2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5623] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5624] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5625] -> 
  -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 2*a^4 - 7*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (15*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5626] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 18*z^2 + 
   (5*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   26*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5627] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5628] -> 
  a^(-4) - 2/a^2 + 5*a^2 - 4*a^4 + a^6 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5629] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 - a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 
   a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 5630] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5631] -> -4 + a^(-6) - 4/a^4 + 7/a^2 + 
   a^4 - 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 6*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5632] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5633] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 21*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5634] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   21*z^2 - z^2/a^4 + (9*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5635] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 5636] -> -2 + a^(-6) - 4/a^4 + 6/a^2 - 
   a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5637] -> a^(-14) - 2/a^12 - a^(-10) + 3/a^8 - 2/a^6 + 
   2/a^4 - (3*z^2)/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + z^4/a^12 + (4*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5638] -> 
  a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5639] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 - (4*z^2)/a^2 + 
   19*a^2*z^2 - 10*a^4*z^2 + 6*z^4 - (7*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + 
   11*z^6 - (5*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 5640] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + 8*z^6 - z^6/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 5641] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 
   7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 5642] -> -3 - a^(-6) + a^(-4) + 2/a^2 + 
   3*a^2 - a^4 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 5643] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + 2*z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5644] -> 2 - a^(-8) + 5/a^6 - 8/a^4 + 4/a^2 - a^2 + 
   2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5645] -> -2*a^4 + 8*a^6 - 5*a^8 - 7*a^4*z^2 + 
   22*a^6*z^2 - 3*a^8*z^2 - 4*a^10*z^2 - 9*a^4*z^4 + 23*a^6*z^4 + 
   10*a^8*z^4 - 8*a^10*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 13*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 5646] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5647] -> 
  -a^2 + 3*a^4 - a^10 - 3*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5648] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 18*z^2 + (3*z^2)/a^2 + 33*a^2*z^2 - 
   18*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 35*a^2*z^4 - 18*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5649] -> 
  -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 3*z^2 + 15*a^2*z^2 - 24*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 28*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5650] -> -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 
   3*a^2*z^2 + 5*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 11*a^6*z^4 - 2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5651] -> 3 - a^(-2) - 4*a^2 + 5*a^4 - a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5652] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5653] -> -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 - 
   3*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   21*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5654] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 6*a^4*z^2 + 
   23*a^6*z^2 - 9*a^8*z^2 - a^10*z^2 - a^2*z^4 - 5*a^4*z^4 + 23*a^6*z^4 - 
   3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5655] -> 
  -11 - 2/a^4 + 9/a^2 + 5*a^2 - 33*z^2 - (6*z^2)/a^4 + (25*z^2)/a^2 + 
   11*a^2*z^2 - 38*z^4 + z^4/a^6 - (7*z^4)/a^4 + (28*z^4)/a^2 + 11*a^2*z^4 - 
   23*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 5656] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - (8*z^2)/a^14 - (12*z^2)/a^12 + 
   (28*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + (4*z^4)/a^12 + 
   (36*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + (10*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 5657] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + 
   z^2/a^16 - (7*z^2)/a^14 + z^2/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (5*z^4)/a^12 + (11*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 5658] -> 3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + 
   (4*z^2)/a^16 - (23*z^2)/a^14 + (15*z^2)/a^12 + (12*z^2)/a^10 + 
   (5*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + (24*z^4)/a^12 + (23*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5659] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + z^2/a^16 - (9*z^2)/a^14 + 
   z^2/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5660] -> 
  -1 + 3*a^4 + 2*a^6 - 3*a^8 - 4*z^2 + 7*a^2*z^2 - a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 12*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 5661] -> 
  -2 + 3*a^2 + a^4 + a^6 - 2*a^8 - z^2 - z^2/a^2 + 6*a^2*z^2 + a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 5662] -> 1 + a^(-10) - 5/a^8 + 5/a^6 + 
   a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5663] -> 
  2/a^14 - 6/a^12 + 3/a^10 + 2/a^8 - a^(-6) + a^(-4) + z^2/a^14 - 
   (11*z^2)/a^12 + (14*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^4 - (4*z^4)/a^12 + 
   (16*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^4 + (5*z^6)/a^10 - (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5664] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^16 - (5*z^2)/a^14 - (7*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + z^4/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 5665] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5666] -> 
  -5 + a^(-2) + 11*a^2 - 8*a^4 + 2*a^6 - 14*z^2 + (3*z^2)/a^2 + 26*a^2*z^2 - 
   19*a^4*z^2 + 5*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5667] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5668] -> 
  -11 - a^(-4) + 7/a^2 + 7*a^2 - a^4 - 33*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 
   18*a^2*z^2 - 3*a^4*z^2 - 35*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5669] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5670] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5671] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5672] -> 1 + 2/a^10 - 9/a^8 + 10/a^6 - a^(-4) - 
   2/a^2 + 3*z^2 + z^2/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (12*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5673] -> 
  -2 + 4*a^2 - 2*a^4 + 4*a^6 - 3*a^8 - 5*z^2 + 13*a^2*z^2 - 10*a^4*z^2 + 
   17*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 17*a^4*z^4 + 21*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5674] -> 1 + a^(-12) - 4/a^10 + 3/a^8 + a^(-6) - 
   a^(-2) + 2*z^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   z^4 + (5*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 5675] -> 
  2 - a^(-2) - 2*a^2 + 3*a^4 + a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5676] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 5677] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 
   3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 5678] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 13*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + 3*a^4*z^4 - 5*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6, Knot[14, Alternating, 5679] -> 
  1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (19*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5680] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (18*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 5681] -> 
  -8 + 2/a^2 + 13*a^2 - 7*a^4 + a^6 - 17*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + z^4/a^4 + 16*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 5682] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5683] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5684] -> 2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 2/a^6 + 
   a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (23*z^2)/a^10 - (14*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (15*z^4)/a^8 + 
   (4*z^4)/a^4 + (5*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5685] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - (4*z^2)/a^12 + (6*z^2)/a^10 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5686] -> -3 + 8*a^2 - 7*a^4 + 6*a^6 - 3*a^8 - 7*z^2 + 
   21*a^2*z^2 - 20*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 24*a^2*z^4 - 
   27*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 - z^6 + 12*a^2*z^6 - 19*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5687] -> 1 - a^(-2) + 2*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5688] -> 5 - 2/a^2 - 4*a^2 + 3*a^4 - a^8 + 9*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 7*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5689] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^6 - a^8 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + (2*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 5690] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (20*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5691] -> a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 
   3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 
   6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5692] -> 3 + a^(-6) - 2/a^4 + a^(-2) - 3*a^2 + a^6 + 
   5*z^2 + z^2/a^6 - (4*z^2)/a^4 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 5693] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^6 + 
   z^2 + z^2/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 5694] -> 
  4 - 2/a^8 + 5/a^6 - 3/a^4 - 2/a^2 - a^2 + 9*z^2 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5695] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 5696] -> -7 - 2/a^4 + 7/a^2 + 6*a^4 - 3*a^6 - 11*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5697] -> -1 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 - a^2 + 
   a^6 - z^2 - (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4, 
 Knot[14, Alternating, 5698] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 
   4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5699] -> a^2 - a^6 + 4*a^8 - 4*a^10 + a^12 + a^2*z^2 + 
   3*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 + z^4 - 2*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + 6*a^8*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - 4*a^6*z^6 + 
   a^4*z^8, Knot[14, Alternating, 5700] -> 2 - 2*a^2 + a^4 - 2*z^2 + 
   z^2/a^2 - 8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 5701] -> 
  1 + a^2 - 6*a^4 + 9*a^6 - 4*a^8 + z^2 + 7*a^2*z^2 - 22*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 30*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 14*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5702] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 4*z^2 - 6*a^2*z^2 - 2*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5703] -> -1 + a^(-2) + a^2 - 3*z^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5704] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5705] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 - 2*z^2 + 
   14*a^2*z^2 - 25*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   31*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5706] -> 1 - a^2 + 3*a^6 - 2*a^8 + 5*z^2 - z^2/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5707] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5708] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 5709] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5710] -> 1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + z^2 + 
   4*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5711] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 
   2*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5712] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5713] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5714] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5715] -> 
  2*a^2 - a^4 - 2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 5716] -> 1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + 
   a^6*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5717] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (19*z^2)/a^2 - 12*z^4 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   (26*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (11*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 5718] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 5719] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (7*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 5720] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 - z^4/a^8 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 5721] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5722] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 12*z^2 + 
   z^2/a^2 + 30*a^2*z^2 - 25*a^4*z^2 + 6*a^6*z^2 - 16*z^4 + (2*z^4)/a^2 + 
   38*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 23*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5723] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + 
   (3*z^2)/a^16 - (12*z^2)/a^14 - z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + 
   z^4/a^16 - (14*z^4)/a^14 + (12*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - 
   (4*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5724] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 17*a^2*z^2 - 28*a^4*z^2 + 
   21*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 19*a^2*z^4 - 36*a^4*z^4 + 23*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5725] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 5*a^4*z^2 + 
   13*a^6*z^2 + 10*a^8*z^2 - 8*a^10*z^2 - 8*a^4*z^4 + 18*a^6*z^4 + 
   17*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 5726] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   a^2*z^2 - 2*a^4*z^2 + 16*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 
   15*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 5727] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (3*z^2)/a^16 - (16*z^2)/a^14 + (2*z^2)/a^12 + (23*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (13*z^4)/a^12 + (34*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5728] -> 
  3/a^16 - 9/a^14 + 5/a^12 + a^(-10) + a^(-8) + (4*z^2)/a^16 - 
   (23*z^2)/a^14 + (16*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - 
   (18*z^4)/a^14 + (24*z^4)/a^12 + (23*z^4)/a^10 + (8*z^4)/a^8 - 
   (4*z^6)/a^14 + (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5729] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 + z^2/a^12 + 
   (12*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5730] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + (3*z^2)/a^16 - (12*z^2)/a^14 - 
   (6*z^2)/a^12 + (26*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + 
   (8*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + 
   (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5731] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (3*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (3*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5732] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (5*z^2)/a^14 - 
   (8*z^2)/a^12 + (17*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   z^4/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5733] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (19*z^2)/a^10 - (18*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (20*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5734] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (7*z^2)/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (2*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 5735] -> 2/a^14 - 7/a^12 + 5/a^10 + a^(-8) - a^(-6) + 
   a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (19*z^2)/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (9*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5736] -> 
  a^(-14) - 3/a^12 + 3/a^8 - a^(-6) + a^(-4) - (4*z^2)/a^12 + (5*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 + 
   z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 5737] -> -2 + 4*a^2 - a^4 + 2*a^6 - 2*a^8 - 
   5*z^2 + 14*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 19*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 5738] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + 
   a^2 - 13*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 
   17*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5739] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 5740] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 
   4*a^2 - 24*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 7*a^2*z^2 - 
   27*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 5741] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (21*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (6*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5742] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5743] -> -12 + a^(-6) - 5/a^4 + 12/a^2 + 5*a^2 - 
   35*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (29*z^2)/a^2 + 12*a^2*z^2 - 40*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (30*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 5744] -> 1 + a^(-12) - 4/a^10 + 4/a^8 - 
   a^(-6) + a^(-4) - a^(-2) + 2*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - 
   (8*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (6*z^4)/a^8 - 
   (10*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, Alternating, 5745] -> 
  2 - a^(-2) - a^2 + a^4 + 2*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5746] -> 
  4 + a^(-4) - 4/a^2 + 3*a^2 - 4*a^4 + a^6 + 2*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 17*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 5747] -> 
  -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (28*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (30*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5748] -> -4 + 12*a^2 - 11*a^4 + 6*a^6 - 2*a^8 - 
   8*z^2 + 28*a^2*z^2 - 29*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 
   27*a^2*z^4 - 34*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   21*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 5749] -> 5 - 2/a^2 - 3*a^2 + a^4 + a^6 - 
   a^8 + 9*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + 7*z^4 - z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5750] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5751] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   a^4 + 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 5752] -> -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 
   3*a^2*z^2 + 22*a^6*z^2 - 12*a^8*z^2 - 3*a^2*z^4 + 26*a^6*z^4 - 6*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 5753] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (11*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (14*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 + (5*z^6)/a^10 - 
   (6*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5754] -> 2/a^14 - 7/a^12 + 7/a^10 - 3/a^8 + a^(-6) + 
   a^(-4) + z^2/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - (9*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5755] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 3*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 5756] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 19*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5757] -> 1 - a^(-2) + 3*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 + 4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 5758] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 
   3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 5759] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   27*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5760] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (13*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5761] -> 
  5 - 2/a^2 - 2*a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 10*z^2 - (3*z^2)/a^2 - 
   5*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 8*z^4 - z^4/a^2 - 
   6*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5762] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (13*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5763] -> -a^(-4) + 2/a^2 - a^2 + a^4 + a^6 - a^8 + 
   z^2 - z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + (2*z^4)/a^2 - 4*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 5764] -> 1 - a^2 + 3*a^4 - 2*a^6 - a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5765] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 + 
   z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 5766] -> 
  -5 - a^(-4) + 4/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 15*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 5767] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 3/a^4 - a^(-2) + a^2 - z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5768] -> 
  3 - 2/a^8 + 5/a^6 - 4/a^4 - a^2 + 5*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (12*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5769] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5770] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - 2*a^2 + 2*a^4 - 
   5*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5771] -> a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + a^2 - a^4 + 
   a^6 + z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, Alternating, 5772] -> -9 - 2/a^4 + 7/a^2 + 5*a^2 + 2*a^4 - 2*a^6 - 
   21*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   20*z^4 - z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 5773] -> a^(-8) - a^(-6) + a^(-2) - a^2 + a^6 + z^2 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (5*z^4)/a^4 + 3*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, Alternating, 5774] -> 1 - 2*a^2 + 3*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + 
   a^12 + 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 10*a^8*z^2 - 
   4*a^10*z^2 + z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 8*a^6*z^4 + 6*a^8*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, Alternating, 5775] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 5776] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5777] -> 
  1 + a^2 - 3*a^4 + a^6 + 3*a^8 - 2*a^10 + z^2 + 4*a^2*z^2 - 8*a^4*z^2 - 
   2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 6*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 5778] -> 2 - 2*a^2 + a^6 + a^8 - a^10 + 
   3*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - z^4/a^2 - a^2*z^4 - 
   4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 5779] -> a^4 + a^6 - a^8 + a^10 - a^12 + 5*a^4*z^2 - 
   a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 5780] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 3*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 5781] -> 
  2 - a^(-2) - a^2 + 4*a^4 - 4*a^6 + a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - z^4 + z^4/a^2 + 7*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5782] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 5783] -> 2 - a^(-6) + a^(-4) - a^2 + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5784] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 5785] -> 2 - a^(-4) + a^(-2) - a^2 + 
   5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5786] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 2*z^2 + 
   13*a^2*z^2 - 22*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   30*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5787] -> 2 - a^(-2) + a^2 - a^4 - 3*z^2 + 9*a^2*z^2 - 
   4*a^4*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5788] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 5789] -> 2*a^4 - a^8 + a^4*z^2 + 
   8*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 16*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5790] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   16*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5791] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   4*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 14*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5792] -> a^(-4) - a^(-2) + a^2 - 6*z^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5793] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 5794] -> 
  a^(-2) - 3*a^4 + 5*a^6 - 2*a^8 + z^2 - a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - (2*z^4)/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5795] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 5796] -> -a^(-6) + a^(-4) + a^(-2) - 
   6*z^2 - z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5797] -> -a^(-4) + 2/a^2 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 5798] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   (13*z^2)/a^8 + (25*z^2)/a^6 - (7*z^2)/a^4 - (6*z^4)/a^10 + (29*z^4)/a^6 - 
   (11*z^4)/a^4 - (5*z^6)/a^10 + (10*z^6)/a^8 + (19*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^10 + (6*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 5799] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^10 + 
   z^4/a^8 + (11*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5800] -> 
  -2/a^6 + 3/a^4 - z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5801] -> 
  -2/a^6 + 3/a^4 - z^2 - z^2/a^10 + (5*z^2)/a^4 - z^4 - z^4/a^10 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5802] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   z^2/a^10 + (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^10 + 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5803] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (18*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - (11*z^4)/a^8 + (21*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (12*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5804] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 4*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5805] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 5806] -> 
  3/a^16 - 10/a^14 + 7/a^12 + a^(-8) + (4*z^2)/a^16 - (24*z^2)/a^14 + 
   (21*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + 
   (24*z^4)/a^12 + (17*z^4)/a^10 + (11*z^4)/a^8 - (3*z^6)/a^14 + 
   (12*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 5807] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 + 
   (3*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (5*z^4)/a^12 + (13*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5808] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (6*z^2)/a^14 - 
   (2*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (3*z^4)/a^12 + (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 5809] -> 
  1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (5*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5810] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - 
   z^2 + (3*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 
   z^4 - (3*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5811] -> 
  a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 3/a^8 - (3*z^2)/a^14 + z^2/a^12 + 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 5812] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 3*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 5813] -> a^(-14) - 4/a^12 + 5/a^10 - 
   4/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + (10*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - (5*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 5814] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 5815] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (3*z^2)/a^14 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 5816] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 + 4*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5817] -> 2/a^14 - 7/a^12 + 6/a^10 - a^(-8) + a^(-4) + 
   z^2/a^14 - (10*z^2)/a^12 + (14*z^2)/a^10 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^4)/a^12 + (12*z^4)/a^10 - z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5818] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - (3*z^2)/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5819] -> 
  -3 + 8*a^2 - 5*a^4 + 2*a^6 - a^8 - 7*z^2 + 23*a^2*z^2 - 21*a^4*z^2 + 
   14*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 12*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5820] -> 1 - a^(-2) + 3*a^2 - 3*a^4 + 2*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5821] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (10*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (6*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5822] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2 + (4*z^2)/a^10 - 
   (11*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4 - (6*z^4)/a^8 + 
   (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5823] -> 1 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5824] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5825] -> 
  1 + 2/a^10 - 9/a^8 + 12/a^6 - 5/a^4 + 3*z^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (19*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5826] -> 1 + a^(-12) - 4/a^10 + 4/a^8 - a^(-4) + 
   2*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4 + (3*z^4)/a^8 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, Alternating, 5827] -> 4 - 2/a^2 - a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5828] -> 1 + 2/a^10 - 9/a^8 + 12/a^6 - 5/a^4 + 3*z^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 
   3*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5829] -> -4 + 12*a^2 - 10*a^4 + 4*a^6 - a^8 - 8*z^2 + 
   30*a^2*z^2 - 33*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 
   38*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - z^6 + 12*a^2*z^6 - 22*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5830] -> 5 - 2/a^2 - 2*a^2 - a^4 + 2*a^6 - a^8 + 
   11*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 8*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5831] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 - 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (14*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 5832] -> -1 - 2/a^4 + 4/a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5833] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 5834] -> 
  -a^(-4) + 2/a^2 - a^4 + 2*a^6 - a^8 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 5835] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5836] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 2*z^4 + 2*a^2*z^4 + a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 5837] -> 
  -1 + a^(-2) + a^2 - a^6 + 2*a^8 - a^10 - z^2 + 2*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 5838] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + a^(-2) + a^2 - 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5839] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 5840] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + a^8*z^2 - z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 5841] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 + a^6 - 3*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   3*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[14, Alternating, 5842] -> 2 - 2/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 - a^2 + 6*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5843] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 5844] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5845] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 - a^2 + 
   a^6 - (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 + (3*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, Alternating, 5846] -> -2 + a^(-8) - a^(-6) + 2/a^2 + a^6 - 2*z^2 - 
   (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4, Knot[14, Alternating, 5847] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + z^2/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5848] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5849] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5850] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 5851] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 6*a^4*z^2 - 4*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 5852] -> 2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 
   3*z^2 - 6*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 5853] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 - z^4 + 
   a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 5854] -> a^(-2) - a^2 + a^4 - a^6 + 2*a^8 - a^10 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 5855] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 5856] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 5857] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5858] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 4*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5859] -> -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 5*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5860] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5861] -> 2 - a^2 - a^4 + 2*a^8 - a^10 + z^2 + 
   a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 5862] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 4*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5863] -> 2*a^4 - a^6 + a^10 - a^12 + 6*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5864] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5865] -> 
  2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - 5*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5866] -> a^(-2) - a^4 + 2*a^8 - a^10 - 4*a^4*z^2 - 
   a^6*z^2 + 3*a^8*z^2 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 5867] -> 
  a^2 + a^10 - a^12 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 3*a^10*z^2 - z^4 + 
   a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 5868] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 5869] -> -1 - 2/a^4 + 4/a^2 + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 5870] -> 4 - 2/a^2 - a^4 - z^2/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5871] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 13*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 18*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5872] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 4*z^2 - z^2/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + z^4/a^2 + 27*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5873] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 9*z^2 + z^2/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 
   4*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5874] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + z^2 - z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5875] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5876] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 13*z^2 + (2*z^2)/a^2 + 27*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5877] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 2*z^2 + 12*a^2*z^2 - 12*a^4*z^2 + 
   4*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5878] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 7*z^2 - z^2/a^6 - (5*z^2)/a^4 + 
   (16*z^2)/a^2 - 8*z^4 - z^4/a^8 + (5*z^4)/a^6 - (15*z^4)/a^4 + 
   (26*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5879] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (8*z^4)/a^8 + (16*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 5880] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 5*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5881] -> 7 - 3/a^2 - 3*a^2 + 5*z^2 - z^2/a^4 - 
   a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5882] -> 
  2 - a^(-4) + a^(-2) - a^2 - 4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5883] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 5884] -> a^(-2) - a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 5885] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 19*z^2 + 
   (7*z^2)/a^2 + 18*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - 24*z^4 + (5*z^4)/a^2 + 
   26*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 - 12*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5886] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 4*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5887] -> -8 + 4/a^2 + 9*a^2 - 7*a^4 + 3*a^6 - 26*z^2 + 
   (8*z^2)/a^2 + 29*a^2*z^2 - 25*a^4*z^2 + 8*a^6*z^2 - 27*z^4 + (5*z^4)/a^2 + 
   34*a^2*z^4 - 27*a^4*z^4 + 5*a^6*z^4 - 12*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5888] -> 3 + 2/a^4 - 3/a^2 - a^2 - 2*a^4 + 2*a^6 + 
   7*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 
   7*z^4 + z^4/a^4 - (8*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5889] -> a^(-6) - a^(-4) + a^(-2) - 2*a^4 + 2*a^6 - 
   2*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, Alternating, 5890] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 
   2*a^4 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 5891] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5892] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5893] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5894] -> 3 - a^(-2) - a^2 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5895] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 5*a^2*z^2 - 
   16*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 23*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5896] -> a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 13*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 6*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 5897] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5898] -> 
  2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 5899] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5900] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5901] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5902] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5903] -> -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5904] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (25*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5905] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5906] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5907] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + 
   a^8 - 6*z^2 + z^2/a^2 + 4*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5908] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5909] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 20*z^2 + 
   (6*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5910] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 16*z^2 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   19*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5911] -> -1 + a^(-4) + a^2 - a^4 + a^6 - z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5912] -> 
  3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 6*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 5913] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5914] -> 
  a^(-2) - a^6 + a^8 - 3*z^2 + 2*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5915] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5916] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   3*z^2 - 8*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*z^4 - 
   8*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5917] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 5918] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (11*z^2)/a^4 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 5919] -> 3*a^4 - 5*a^8 + 4*a^10 - a^12 + 4*a^4*z^2 + 
   4*a^6*z^2 - 13*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 5920] -> 
  -2 + 10*a^2 - 15*a^4 + 12*a^6 - 4*a^8 - 7*z^2 + 29*a^2*z^2 - 39*a^4*z^2 + 
   24*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 34*a^2*z^4 - 40*a^4*z^4 + 15*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5921] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5922] -> 
  2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 15*a^4*z^2 + 
   17*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5923] -> a^(-2) - 3*a^4 + 5*a^6 - 2*a^8 - a^2*z^2 - 
   6*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5924] -> 
  -a^(-6) + a^(-4) + a^(-2) - 5*z^2 + z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5925] -> 1 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5926] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5927] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 5928] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - 
   a^12 + 4*a^4*z^2 + 3*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 5929] -> 3*a^4 - 2*a^6 - a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 - 2*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 5930] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   6*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 5931] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 5932] -> a^2 + a^6 - 3*a^8 + 4*a^10 - 2*a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 10*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 5*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 5933] -> 3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + 
   z^2/a^16 - (2*z^2)/a^14 - (16*z^2)/a^12 + (22*z^2)/a^10 + (6*z^2)/a^8 - 
   (4*z^4)/a^14 - (3*z^4)/a^12 + (24*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + 
   (3*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 5934] -> a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 5935] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5936] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + (5*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5937] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5938] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - 
   (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 5939] -> 1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + 
   3*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[14, Alternating, 5940] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 4*z^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5941] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 + 
   2*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[14, Alternating, 5942] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 5943] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5944] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 5945] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5946] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 10*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 5947] -> 
  2 - a^2 - 4*a^4 + 7*a^6 - 3*a^8 + z^2 + 2*a^2*z^2 - 15*a^4*z^2 + 
   18*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5948] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5949] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5950] -> a^(-2) - a^2 - a^4 + 4*a^6 - 2*a^8 - 
   a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 5951] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5952] -> 
  4*a^4 - 3*a^6 - 2*a^8 + 3*a^10 - a^12 + 5*a^4*z^2 + a^6*z^2 - 11*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 5953] -> 2*a^2 - a^4 + a^6 - 3*a^8 + 
   3*a^10 - a^12 + 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 - 
   z^4 + a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 5954] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5955] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5956] -> 1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + 
   a^4 + 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 5957] -> -2 + a^(-6) - 3/a^4 + 5/a^2 - 2*a^2 + 2*a^4 - 
   z^2 + z^2/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5958] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + a^6 + 4*z^2 - (4*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 + z^4/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 5959] -> 
  4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 7*z^2 - z^2/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 5960] -> a^(-4) - a^(-2) + a^2 + a^4 - 2*a^6 + a^8 + 
   3*z^2 + z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 
   6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 5961] -> 
  1 - a^6 + 2*a^8 - a^10 + z^2 - a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 
   a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 5962] -> 
  -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (13*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - 
   (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5963] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + 
   (5*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5964] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (18*z^2)/a^10 - (19*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + 
   (11*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 5965] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5966] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5967] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5968] -> 
  -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 9*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 5969] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5970] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 16*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   18*a^4*z^2 + 5*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5971] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 - z^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 5972] -> 1 - 3*a^4 + 7*a^6 - 5*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - 7*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 9*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 5973] -> a^(-4) - a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + z^4/a^4 + 
   4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 5974] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (17*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^4)/a^12 + (8*z^4)/a^10 - (22*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 5975] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + (4*z^2)/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 5976] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 11*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 5977] -> -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 
   23*z^2 + (7*z^2)/a^2 + 29*a^2*z^2 - 22*a^4*z^2 + 7*a^6*z^2 - 25*z^4 + 
   (5*z^4)/a^2 + 32*a^2*z^4 - 25*a^4*z^4 + 5*a^6*z^4 - 12*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 5978] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 
   5*a^4 + 2*a^6 - 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 + z^4/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5979] -> -12 + 4/a^2 + 18*a^2 - 13*a^4 + 4*a^6 - 
   30*z^2 + (8*z^2)/a^2 + 41*a^2*z^2 - 30*a^4*z^2 + 8*a^6*z^2 - 28*z^4 + 
   (5*z^4)/a^2 + 40*a^2*z^4 - 28*a^4*z^4 + 5*a^6*z^4 - 12*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 5980] -> 6 + 2/a^4 - 5/a^2 - a^2 - 3*a^4 + 
   2*a^6 + 10*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 8*z^4 + z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 5981] -> a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*a^4 + 
   2*a^6 - z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, Alternating, 5982] -> 
  -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 5*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 5983] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 9*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 10*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 5984] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   6*z^2 + 22*a^2*z^2 - 28*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   27*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5985] -> -2 + 10*a^2 - 14*a^4 + 10*a^6 - 3*a^8 - 
   8*z^2 + 29*a^2*z^2 - 35*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   35*a^2*z^4 - 35*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 
   16*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 5986] -> 4 - a^(-2) - 3*a^2 + 2*a^6 - a^8 + 8*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 7*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5987] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 2/a^2 + a^2 - z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 5988] -> 
  1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 5989] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 8*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 5990] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 5991] -> 
  -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 19*z^2 + (6*z^2)/a^2 + 21*a^2*z^2 - 
   16*a^4*z^2 + 5*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5992] -> 
  a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 5993] -> 
  6*a^6 - 10*a^8 + 8*a^10 - 3*a^12 - a^4*z^2 + 19*a^6*z^2 - 25*a^8*z^2 + 
   18*a^10*z^2 - 4*a^12*z^2 - 4*a^4*z^4 + 23*a^6*z^4 - 29*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 5994] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 - a^2*z^2 + 
   7*a^4*z^2 - 6*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 5995] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 11*a^2*z^2 - 16*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 5996] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 19*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 5997] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + 
   (6*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 5998] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 + (2*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 5999] -> 
  -10 + 4/a^2 + 13*a^2 - 9*a^4 + 3*a^6 - 23*z^2 + (6*z^2)/a^2 + 29*a^2*z^2 - 
   22*a^4*z^2 + 6*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6000] -> 
  4 + 2/a^4 - 4/a^2 - 3*a^4 + 2*a^6 + 8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6001] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 6002] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 
   2*a^4 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 6003] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6004] -> 
  1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 2*z^2 - 6*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 4*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6005] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 - 
   (8*z^2)/a^4 + (24*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - 
   (9*z^4)/a^4 + (33*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 16*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6006] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6007] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 16*a^2*z^2 - 21*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6008] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 16*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6009] -> 
  -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6010] -> 
  5*a^6 - 8*a^8 + 7*a^10 - 3*a^12 + a^4*z^2 + 15*a^6*z^2 - 22*a^8*z^2 + 
   18*a^10*z^2 - 4*a^12*z^2 - 3*a^4*z^4 + 19*a^6*z^4 - 28*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 6011] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 6012] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6013] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 14*a^4*z^2 + 
   18*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + 6*a^2*z^4 - 23*a^4*z^4 + 
   23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6014] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 6015] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 7*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 6016] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^10 + z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^4)/a^12 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6017] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6018] -> 
  -6 - a^(-4) + 4/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 15*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 6019] -> 
  -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 17*z^2 + (3*z^2)/a^2 + 33*a^2*z^2 - 
   22*a^4*z^2 + 5*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 33*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6020] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 31*a^2*z^4 - 
   9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6021] -> 
  -5 - a^(-6) + 3/a^4 + 5*a^2 - a^4 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 6022] -> -14 - 2/a^4 + 9/a^2 + 11*a^2 - 
   3*a^4 - 35*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 30*a^2*z^2 - 9*a^4*z^2 - 
   34*z^4 - z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + 
   (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6023] -> -a^(-6) + 4/a^4 - 4/a^2 + 3*a^2 - 
   a^4 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6024] -> a^(-16) - a^(-14) - 3/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) + z^2/a^16 - (6*z^2)/a^14 - (2*z^2)/a^12 + (8*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + (4*z^4)/a^12 + (12*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 6025] -> -2 + 5*a^2 - 4*a^4 + 5*a^6 - 
   3*a^8 - 5*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 17*a^4*z^4 + 21*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   14*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 6026] -> 2 - a^(-2) - a^2 + a^4 + 2*a^6 - 
   2*a^8 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6027] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - 
   (5*z^2)/a^12 + (13*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   (9*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6028] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, Alternating, 6029] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - 
   a^8 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6030] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6031] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (19*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6032] -> -1 + a^2 + a^4 + 3*a^6 - 3*a^8 - 4*z^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   13*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6033] -> -2 + 4*a^2 - a^4 + 2*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 6*a^2*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6034] -> 
  3 - a^(-2) + 2*a^2 - 7*a^4 + 5*a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 6035] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + a^(-6) + 2/a^4 - (5*z^2)/a^12 + 
   (14*z^2)/a^10 - (11*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (9*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6036] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 
   6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 6037] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 6038] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 
   10/a^2 - 9*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + 
   (28*z^2)/a^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + 
   (35*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6039] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6040] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (24*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (28*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6041] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6042] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + 
   a^2 - 18*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 
   23*z^4 + z^4/a^6 - (12*z^4)/a^4 + (30*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 6043] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - 
   z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6044] -> -5 + 3/a^2 + 2*a^2 + 3*a^4 - 3*a^6 + a^8 - 
   11*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 - 
   9*z^4 + z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 6045] -> -2 + a^(-4) + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 6046] -> -8 + 4/a^2 + 5*a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 
   14*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 + 6*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 
   9*z^4 + z^4/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 6047] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - a^4 - a^6 + a^8 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 6048] -> 1 + a^(-6) - a^(-4) - a^6 + a^8 - 
   (2*z^2)/a^4 - z^2/a^2 - a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^2 + 
   2*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 6049] -> 
  3*a^6 - 4*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + 9*a^6*z^2 - 9*a^8*z^2 + 
   19*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 2*a^4*z^4 + 6*a^6*z^4 - 9*a^8*z^4 + 
   18*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[14, Alternating, 6050] -> 
  a^4 + a^8 + a^10 - 3*a^12 + a^14 + 3*a^4*z^2 + 4*a^8*z^2 + 4*a^10*z^2 - 
   4*a^12*z^2 + a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 5*a^10*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, Knot[14, Alternating, 6051] -> 
  3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 8*a^6*z^2 - 5*a^8*z^2 + 
   13*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + 
   15*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - a^6*z^6 - 6*a^8*z^6 + 5*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[14, Alternating, 6052] -> 
  a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 7*a^10*z^2 - 4*a^12*z^2 + a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + 5*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, Alternating, 6053] -> 2*a^2 - a^4 - 2*z^2 + 8*a^2*z^2 - 9*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6054] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6055] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6056] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6057] -> a^2 + a^4 - 2*a^8 + a^10 + 7*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 6058] -> 
  4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - 4*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + z^6 - 
   2*a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6059] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6060] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - 
   z^2/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6061] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 + z^4/a^2 + 6*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6062] -> 2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 + 
   3*a^4*z^2 + 9*a^6*z^2 - 18*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 10*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 6063] -> 4*a^4 - 4*a^6 + 2*a^10 - a^12 + 7*a^4*z^2 - 
   5*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 6064] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6065] -> 2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6066] -> 
  1 + a^2 - 6*a^4 + 9*a^6 - 4*a^8 + z^2 + 6*a^2*z^2 - 21*a^4*z^2 + 
   22*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 28*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6067] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 4*z^2 - 
   7*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   6*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6068] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - (6*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6069] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6070] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6071] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + z^4/a^2 + 18*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6072] -> 
  2 - a^2 - a^6 + a^8 - z^2/a^2 + a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 6073] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6074] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6075] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 27*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 - 31*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 32*a^2*z^4 - 9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6076] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   7*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6077] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6078] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6079] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6080] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 6081] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 3*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6082] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6083] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   24*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 29*a^2*z^2 - 10*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6084] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - (5*z^2)/a^12 + (9*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (10*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 + z^6/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6085] -> 
  2/a^14 - 7/a^12 + 6/a^10 - a^(-8) + a^(-4) + z^2/a^14 - (12*z^2)/a^12 + 
   (19*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + 
   (18*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6086] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^16 - (5*z^2)/a^14 - (8*z^2)/a^12 + (15*z^2)/a^10 + (8*z^2)/a^8 - 
   (4*z^4)/a^14 + (20*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + 
   (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 6087] -> 
  1 + a^(-10) - 5/a^8 + 5/a^6 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6088] -> 1 + 2/a^10 - 9/a^8 + 10/a^6 - a^(-4) - 
   2/a^2 + 2*z^2 + z^2/a^10 - (12*z^2)/a^8 + (23*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 6089] -> 1 - a^(-2) + 4*a^2 - 6*a^4 + 
   5*a^6 - 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 17*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 18*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 6090] -> -7 - a^(-4) + 3/a^2 + 11*a^2 - 
   5*a^4 - 23*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 30*a^2*z^2 - 10*a^4*z^2 - 
   28*z^4 - z^4/a^4 + (10*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6091] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 
   6*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 - 16*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (25*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6092] -> 5 - 2/a^2 - a^2 - 3*a^4 + 3*a^6 - a^8 + 
   9*z^2 - (3*z^2)/a^2 + a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 
   7*z^4 - z^4/a^2 - 17*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6093] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 30*a^2*z^2 - 9*a^4*z^2 - 33*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6094] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 15*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (30*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6095] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6096] -> 
  2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6097] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 6098] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6099] -> 
  1 - a^(-2) + 4*a^2 - 6*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6100] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 25*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 30*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 33*a^2*z^4 - 9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6101] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 6*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6102] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (20*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6103] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (22*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (27*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (15*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 6104] -> 
  1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6105] -> 
  1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 6106] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   23*a^2*z^2 - 7*a^4*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 32*a^2*z^4 - 
   9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6107] -> 
  -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 2*a^4 - 8*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6108] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (16*z^2)/a^8 + (23*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (28*z^4)/a^6 - 
   (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - (15*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6109] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6110] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6111] -> -a^(-4) + 2/a^2 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   z^2 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6, Knot[14, Alternating, 6112] -> -a^(-6) + 3/a^4 - 3/a^2 + 
   4*a^2 - 2*a^4 - z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6113] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6114] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 6115] -> 
  2*a^2 - 4*a^4 + 9*a^6 - 9*a^8 + 3*a^10 + 5*a^2*z^2 - 14*a^4*z^2 + 
   26*a^6*z^2 - 23*a^8*z^2 + 7*a^10*z^2 + 4*a^2*z^4 - 20*a^4*z^4 + 
   31*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 11*a^4*z^6 + 20*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 6116] -> 1 - a^2 + a^4 + 3*a^6 - 5*a^8 + 2*a^10 + 
   2*z^2 - 3*a^2*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 5*a^2*z^4 + 
   5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 6117] -> 
  -6 - a^(-4) + 4/a^2 + 5*a^2 - a^6 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   8*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 6118] -> 
  1 - a^6 + 2*a^8 - a^10 + 2*z^2 - 2*a^2*z^2 - a^6*z^2 + a^8*z^2 + a^10*z^2 + 
   z^4 - 4*a^2*z^4 - a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 6119] -> 1 - 2*a^2 + 4*a^4 - a^6 - 2*a^8 + a^10 + 
   2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 6120] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6121] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 
   a^2*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + z^4 - 2*a^2*z^4 + 
   4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 6122] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 6123] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 6124] -> -1 + a^(-4) + 2*a^4 - 2*a^6 + 
   a^8 + z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 6125] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6126] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 3*a^4 - 2*a^6 + 
   a^8 + 7*z^2 + z^2/a^4 - (7*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 8*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 6127] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^6 + a^8 - 2*z^2 - (3*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, Alternating, 6128] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 3*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 6129] -> 2*a^4 - 3*a^6 + 4*a^8 - 3*a^12 + a^14 + 
   5*a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 + 6*a^10*z^2 - 5*a^12*z^2 + a^2*z^4 + 
   3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 7*a^10*z^4 - a^4*z^6 - 4*a^6*z^6 - 
   3*a^8*z^6, Knot[14, Alternating, 6130] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 
   2*a^4 - 15*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 
   20*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 6131] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 6132] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 
   2*a^6 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6133] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 6134] -> 1 - a^2 + 2*a^4 - a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 6135] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6136] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   (5*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6137] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6138] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + a^2*z^2 - 3*a^4*z^2 + 11*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + z^4 - 6*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + z^6 - 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6139] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 
   11*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   25*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6140] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6141] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 6142] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 6143] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6144] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6145] -> 
  1 - z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6146] -> 1 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6147] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6148] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6149] -> 3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6150] -> a^2 + a^4 - 2*a^8 + a^10 - a^2*z^2 + 
   4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6151] -> a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (5*z^2)/a^12 + (13*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (9*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6152] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (26*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6153] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6154] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6155] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 
   10*z^2 - z^2/a^6 + (4*z^2)/a^4 + 9*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 6156] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (18*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6157] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6158] -> -3 + a^(-2) + 8*a^2 - 8*a^4 + 
   3*a^6 - 13*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 25*a^4*z^2 + 8*a^6*z^2 - 
   18*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 27*a^4*z^4 + 5*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 21*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6159] -> 
  -2 + a^(-2) + 5*a^2 - 4*a^4 + a^8 - 7*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 7*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   7*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 6160] -> 
  3 + 2/a^4 - 3/a^2 - 2*a^2 + a^4 - a^6 + a^8 + 7*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 6161] -> 
  2*a^4 - 3*a^6 + 3*a^8 + 2*a^10 - 4*a^12 + a^14 + 5*a^4*z^2 - 3*a^6*z^2 + 
   14*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 
   16*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[14, Alternating, 6162] -> 
  -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + 18*a^2*z^2 - 21*a^4*z^2 + 
   18*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 25*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6163] -> 1 - 2*a^2 + 3*a^4 + a^6 - 3*a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 6164] -> -1 + a^(-4) + a^2 - a^6 + a^8 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 6165] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 - (6*z^2)/a^4 + (15*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6166] -> a^(-6) - a^(-4) + a^(-2) - a^2 + a^4 - a^6 + 
   a^8 - 2*z^2 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 
   z^4 + (3*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, Alternating, 6167] -> a^2 - a^4 + a^6 + 3*a^10 - 4*a^12 + a^14 + 
   2*a^2*z^2 + a^6*z^2 + 8*a^10*z^2 - 4*a^12*z^2 + a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + 5*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, Alternating, 6168] -> -a^(-4) + 2/a^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - z^4/a^4 + (5*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6169] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6170] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6171] -> 
  a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 + 2*z^2 - (3*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 6172] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 
   z^2 + 7*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   17*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6173] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 - 3*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6174] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6175] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6176] -> a^(-2) - a^2 + 2*a^4 - 3*a^6 + 3*a^8 - a^10 + 
   z^2 - 5*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 6177] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   7*z^2 + z^2/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 6*a^6*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6178] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6179] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6180] -> 
  1 - 2*a^2 + 2*a^4 + 3*a^6 - 4*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 6181] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6182] -> 2*a^2 - a^4 + 2*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   2*z^6 + 7*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6183] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 4*a^4*z^4 + 
   8*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6184] -> 2 - 2*a^2 + a^4 - 2*a^4*z^2 + a^6*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6185] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 10*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6186] -> 
  a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 
   22*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 
   25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6187] -> 6*a^6 - 7*a^8 + 2*a^10 + 2*a^2*z^2 - 
   8*a^4*z^2 + 23*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6188] -> 2*a^4 + a^6 - 3*a^8 + a^10 + z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6189] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6190] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 
   9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6191] -> 2 - 2*a^2 + 2*a^6 - a^8 + a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6192] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 5*z^2 + 17*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   14*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 6193] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6194] -> 1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6195] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   2*z^2 + z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6196] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2/a^10 - 
   (6*z^2)/a^8 + (4*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 6197] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6198] -> 3 - a^(-2) - a^2 - 6*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6199] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (16*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 6200] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + 2*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6201] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6202] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 6203] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6204] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6205] -> a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6206] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 6207] -> 
  -5 + 3/a^2 + 5*a^2 - 3*a^4 + a^8 - 11*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 9*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 6208] -> 
  -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 6209] -> -8 + 4/a^2 + 9*a^2 - 6*a^4 + a^6 + a^8 - 
   14*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 
   9*z^4 + z^4/a^2 + 7*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 6210] -> 
  3 + 2/a^4 - 3/a^2 - a^2 - a^4 + a^8 + z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 6211] -> a^(-6) - a^(-4) + a^(-2) - a^4 + a^8 - z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 6212] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^4 + a^6 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   3*z^4 + z^4/a^6 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 6213] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6214] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6215] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 6216] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 6217] -> 5*a^4 - 6*a^6 + 2*a^8 + 5*a^4*z^2 - 
   3*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6218] -> 2*a^2 - 2*a^6 + a^8 + a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6219] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6220] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   3*z^4 + 9*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6221] -> 5*a^6 - 5*a^8 + a^10 + a^2*z^2 - 
   5*a^4*z^2 + 19*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6222] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   2*a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6223] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6224] -> 
  2 - 2*a^2 + a^4 - a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, Alternating, 6225] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 2*z^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 6226] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 4*z^2 - z^2/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6227] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + z^2 + z^2/a^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6228] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6229] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6230] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6231] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 - z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 6232] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 11*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (14*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6233] -> 3 - a^(-2) - a^2 - 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6234] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 6235] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 6236] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   9*z^2 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6237] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - 
   z^2/a^6 + (2*z^2)/a^4 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6238] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 18*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 6239] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - z^2 + a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - 4*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6240] -> 2 + a^(-4) - 2/a^2 - 4*z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6241] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6242] -> 
  2 + a^(-4) - 2/a^2 - z^2 - z^2/a^2 + 3*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6243] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6244] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 + a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6245] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + z^2 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6246] -> 1 + z^2/a^6 - z^2/a^4 - a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6247] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6248] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 5*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6249] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 6250] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6251] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   6*a^2*z^2 - 15*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 23*a^4*z^4 + 23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 6252] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 24*z^2 + (7*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 
   32*z^4 + (9*z^4)/a^2 + 31*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 21*z^6 + 
   (5*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6253] -> a^(-2) - a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6254] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6255] -> -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 6256] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 
   3*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 6257] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6258] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6259] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 5*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6260] -> 
  3 - a^(-2) - a^2 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6261] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6262] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 7*a^2*z^2 - 
   18*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 23*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6263] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 8*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6264] -> 
  2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 + a^4*z^2 + 15*a^6*z^2 - 
   27*a^8*z^2 + 17*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 21*a^6*z^4 - 
   31*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 
   16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 6265] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 7*a^4*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 6266] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6267] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   11*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6268] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   6*z^2 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6269] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (20*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6270] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6271] -> 
  1 - 3*a^4 + 6*a^6 - 3*a^8 + z^2 + 3*a^2*z^2 - 14*a^4*z^2 + 18*a^6*z^2 - 
   5*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 6272] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 3*z^2 - 7*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6273] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6274] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6275] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6276] -> 3*a^2 - 4*a^4 + 5*a^6 - 5*a^8 + 
   2*a^10 + 6*a^2*z^2 - 15*a^4*z^2 + 17*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 23*a^4*z^4 + 23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 6277] -> 1 + a^4 - a^6 - a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6278] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 19*z^2 + (6*z^2)/a^2 + 17*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6279] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 6280] -> 
  1 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6281] -> a^2 + a^4 - 2*a^8 + a^10 + 
   2*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6282] -> 2*a^2 - a^4 - 2*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6283] -> 
  a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 6284] -> 
  a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + 2*a^4*z^2 + 11*a^6*z^2 - 
   19*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 - a^4*z^4 + 13*a^6*z^4 - 
   23*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 3*a^4*z^6 + 10*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 6285] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 20*z^2 + 
   (6*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 
   23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6286] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^10 - 
   z^2/a^8 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 6287] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6288] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 6289] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6290] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 5*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6291] -> 2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 19*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 22*a^4*z^4 + 24*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 6292] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6293] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (8*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6294] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6295] -> -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 3*z^2 + 
   17*a^2*z^2 - 26*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6296] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   4*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 6297] -> 
  -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6298] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6299] -> -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 
   5*z^2 + 23*a^2*z^2 - 32*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 6*z^4 + 
   25*a^2*z^4 - 33*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   16*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6300] -> 2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 
   3*a^2*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 6301] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 17*a^2*z^2 - 19*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 24*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6302] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 28*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6303] -> -5 - a^(-6) + 3/a^4 + 5*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6304] -> 4 + a^(-10) - 4/a^8 + 7/a^6 - 3/a^4 - 4/a^2 + 
   4*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (17*z^2)/a^6 - (6*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (17*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6305] -> 
  -8 + 2/a^2 + 16*a^2 - 13*a^4 + 4*a^6 - 22*z^2 + (5*z^2)/a^2 + 38*a^2*z^2 - 
   30*a^4*z^2 + 8*a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 39*a^2*z^4 - 28*a^4*z^4 + 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 22*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6306] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (22*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6307] -> -4 - 2/a^8 + 8/a^6 - 15/a^4 + 14/a^2 - 
   8*z^2 - (5*z^2)/a^8 + (22*z^2)/a^6 - (37*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (39*z^4)/a^4 + (28*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (22*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6308] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6309] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6310] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 
   27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 6311] -> 
  -1 + 7*a^2 - 11*a^4 + 9*a^6 - 3*a^8 - 5*z^2 + 22*a^2*z^2 - 31*a^4*z^2 + 
   19*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 26*a^2*z^4 - 32*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6312] -> 
  -6 + 2/a^2 + 11*a^2 - 9*a^4 + 3*a^6 - 18*z^2 + (4*z^2)/a^2 + 29*a^2*z^2 - 
   23*a^4*z^2 + 6*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6313] -> 
  -1 + a^(-8) - 3/a^6 + 4/a^4 - a^(-2) + a^4 + z^2/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 6314] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6315] -> -6 + 2/a^6 - 6/a^4 + 9/a^2 + a^2 + a^4 - 
   15*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + z^4/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6316] -> -4 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 + a^2 + 
   a^4 - 8*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 6317] -> -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 6318] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6319] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4 + z^4/a^10 + z^4/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 6320] -> -12 - a^(-4) + 7/a^2 + 9*a^2 - 2*a^4 - 
   31*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 34*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6321] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 2*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6322] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6323] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 
   15*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   20*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6324] -> 3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6325] -> 2/a^14 - 6/a^12 + 4/a^10 + a^(-4) + 
   z^2/a^14 - (11*z^2)/a^12 + (14*z^2)/a^10 + (3*z^2)/a^4 - (4*z^4)/a^12 + 
   (16*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^4 + (5*z^6)/a^10 - (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6326] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + a^(-6) + 
   a^(-2) - (5*z^2)/a^12 + (13*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (8*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6327] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + a^2 + 2*a^4 - a^6 - 4*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 6328] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^16 - (5*z^2)/a^14 - (9*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + z^4/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 6329] -> 3/a^16 - 7/a^14 + a^(-12) + 3/a^10 + a^(-8) + 
   (4*z^2)/a^16 - (22*z^2)/a^14 + (12*z^2)/a^12 + (13*z^2)/a^10 + 
   (5*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + (23*z^4)/a^12 + (23*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 6330] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + z^2/a^16 - (9*z^2)/a^14 + 
   (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 6331] -> 
  -2 + 4*a^2 - a^8 - 2*z^2 - z^2/a^2 + 8*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 5*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6332] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6333] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   5*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 
   21*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6334] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 - a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6335] -> 
  2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 + a^4*z^2 + 15*a^6*z^2 - 
   27*a^8*z^2 + 17*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 21*a^6*z^4 - 
   31*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 
   16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 6336] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - z^4 + 8*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6337] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 24*z^2 + 
   (7*z^2)/a^2 + 26*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 32*z^4 + (9*z^4)/a^2 + 
   31*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 
   3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6338] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6339] -> a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^16 - (5*z^2)/a^14 - (10*z^2)/a^12 + (18*z^2)/a^10 + (7*z^2)/a^8 - 
   (4*z^4)/a^14 + (21*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + 
   (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 6340] -> 
  1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (11*z^2)/a^4 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (13*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6341] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 2/a^6 + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (22*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (19*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 6342] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   3/a^6 + a^(-2) - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 6343] -> -5 + 3/a^2 + 2*a^2 + 3*a^4 - 
   3*a^6 + a^8 - 11*z^2 + (4*z^2)/a^2 + a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - 9*z^4 + (3*z^4)/a^2 - a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + 
   z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6344] -> -2 + a^(-4) + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 
   3*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 6345] -> 4*a^6 - 8*a^8 + 14*a^10 - 
   13*a^12 + 4*a^14 + 12*a^6*z^2 - 22*a^8*z^2 + 39*a^10*z^2 - 26*a^12*z^2 + 
   4*a^14*z^2 + 13*a^6*z^4 - 27*a^8*z^4 + 42*a^10*z^4 - 16*a^12*z^4 + 
   a^14*z^4 + 6*a^6*z^6 - 19*a^8*z^6 + 19*a^10*z^6 - 3*a^12*z^6 + a^6*z^8 - 
   7*a^8*z^8 + 3*a^10*z^8 - a^8*z^10, Knot[14, Alternating, 6346] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 6347] -> 
  -a^4 + 8*a^6 - 8*a^8 + 2*a^10 + 2*a^2*z^2 - 10*a^4*z^2 + 28*a^6*z^2 - 
   18*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 32*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6348] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   a^2*z^2 - 4*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 - 
   6*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 6349] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + z^2 + a^2*z^2 - 6*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 - 8*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 6350] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - 
   a^6 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   z^4 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 6351] -> -5 + 3/a^2 + 3*a^2 + a^4 - 2*a^6 + 
   a^8 - 13*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6352] -> -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 
   4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 6353] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 6354] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 3*a^4 - 
   2*a^6 + a^8 + 7*z^2 + z^2/a^4 - (7*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 + 9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 6355] -> 
  3 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 8*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + (6*z^4)/a^4 - 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, Alternating, 6356] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 8*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   26*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6357] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6358] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6359] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 - (15*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 + (10*z^4)/a^10 - (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 6360] -> -2/a^12 + 5/a^10 - 5/a^8 + 2/a^6 + 
   a^(-2) - z^2/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + (3*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6361] -> a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6362] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   4*z^2 + (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 6363] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 19*z^2 + (6*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6364] -> 
  -1 + a^(-4) + a^2 - a^6 + a^8 + z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 6365] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6366] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 + 2*a^2*z^2 - 
   10*a^4*z^2 + 28*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 32*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6367] -> a^2 - 3*a^4 + 9*a^6 - 8*a^8 + 2*a^10 + 
   3*a^2*z^2 - 11*a^4*z^2 + 25*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 
   3*a^2*z^4 - 15*a^4*z^4 + 26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 6368] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   2*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 15*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6369] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - z^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6370] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 6371] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 23*z^2 + (7*z^2)/a^2 + 22*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 32*z^4 + (9*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6372] -> 
  -5 + 3/a^2 + 5*a^2 - 3*a^4 + a^8 - 13*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 6373] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 
   2*a^6 - 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6374] -> -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 6375] -> -1 - a^(-2) + 8*a^2 - 6*a^4 + a^6 - 7*z^2 + 
   22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6376] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6377] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + 2*z^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6378] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   4*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6379] -> 
  -2/a^6 + 3/a^4 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6380] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (2*z^2)/a^10 - (15*z^2)/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 + (24*z^4)/a^6 - (8*z^4)/a^4 - (4*z^6)/a^10 + (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 6381] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6382] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - 
   z^2/a^4 - z^4/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6383] -> 4 - 2/a^2 - a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6384] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (17*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6385] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + 2*z^2 - a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 6*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6386] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6387] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6388] -> -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + a^8 - 
   13*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6389] -> 2*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6390] -> 
  -1 + a^(-4) + a^2 - a^6 + a^8 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 6391] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - a^4*z^2 + a^6*z^2 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6392] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6393] -> 
  2*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6394] -> 3 - a^(-2) - a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6395] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6396] -> 
  -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 - 2*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6397] -> 
  a^(-14) - 2/a^12 - a^(-10) + 3/a^8 - 2/a^6 + 2/a^4 - (3*z^2)/a^12 + 
   (3*z^2)/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 6398] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 
   3*a^2 + 2*a^4 - a^6 + 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 6399] -> 3/a^16 - 7/a^14 + 2/a^12 + a^(-10) + 2/a^8 + 
   (4*z^2)/a^16 - (21*z^2)/a^14 + (12*z^2)/a^12 + (9*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + (21*z^4)/a^12 + (20*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 6400] -> 
  2/a^16 - 4/a^14 - a^(-12) + 3/a^10 + a^(-6) + z^2/a^16 - (9*z^2)/a^14 + 
   z^2/a^12 + (11*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (14*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 6401] -> 
  3 - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 5*z^2 - z^2/a^6 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 6402] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6403] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - 
   z^2/a^12 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (5*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6404] -> 2 + a^(-8) - a^(-6) - 2*a^2 + a^6 + 4*z^2 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 
   (5*z^4)/a^4 + 3*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, Alternating, 6405] -> -1 + a^(-4) - a^2 + 4*a^4 - 3*a^6 + a^8 + 
   z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[14, Alternating, 6406] -> 
  -1 + a^(-4) + 2*a^4 - 2*a^6 + a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 6407] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6408] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6409] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6410] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + a^4 - 
   a^6 + a^8 + 8*z^2 + z^2/a^4 - (8*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + 10*z^4 + z^4/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 6411] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^6 - z^4/a^4 + (21*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 6412] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 6413] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (15*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 - (8*z^4)/a^8 + 
   (19*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6414] -> -1 + a^(-2) + a^2 - a^6 + 2*a^8 - a^10 - 
   z^2 + a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 6415] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - 3*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   8*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 6416] -> 
  2 - a^(-6) + a^(-4) - a^2 + 2*z^2 + (2*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^6 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 6417] -> 
  1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 12*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6418] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6419] -> -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6420] -> 2 - a^(-4) + a^(-2) - a^2 - 5*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 16*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6421] -> 1 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 6422] -> 
  1 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6423] -> 2 - a^(-4) + a^(-2) - a^2 - 4*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 11*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6424] -> a^(-4) - a^(-2) + a^2 - 10*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6425] -> 4 - a^(-2) - 3*a^2 + a^4 + a^2*z^2 - 
   a^4*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6426] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6427] -> 2 - 3*a^2 + 3*a^4 - a^6 - a^4*z^2 + a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6428] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6429] -> a^(-4) - a^(-2) + a^2 - 11*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6430] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - 9*z^4 - z^4/a^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6431] -> 
  -9 + 4/a^2 + 8*a^2 - 2*a^4 - 29*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 34*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6432] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6433] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 12*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6434] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 6435] -> 
  6*a^2 - 10*a^4 + 6*a^6 - a^8 - 4*z^2 + 18*a^2*z^2 - 30*a^4*z^2 + 
   18*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 35*a^4*z^4 + 21*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6436] -> 3 - 3*a^2 + a^6 + 6*z^2 - (2*z^2)/a^2 - 
   7*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6437] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 - z^2/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6438] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6439] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 + (8*z^2)/a^10 - (20*z^2)/a^8 + (17*z^2)/a^6 + (6*z^4)/a^12 - 
   z^4/a^10 - (24*z^4)/a^8 + (17*z^4)/a^6 + (5*z^6)/a^12 - (10*z^6)/a^10 - 
   (18*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[14, Alternating, 6440] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + (3*z^2)/a^12 - (6*z^2)/a^10 + 
   (7*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^12 - (8*z^4)/a^10 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6441] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 22*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (7*z^4)/a^6 - (26*z^4)/a^4 + (36*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6442] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 9*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6443] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   15*z^2 + z^2/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6444] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 + z^2/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6445] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 + z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6446] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 18*z^2 + 
   (4*z^2)/a^2 + 31*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 28*z^4 + (8*z^4)/a^2 + 
   35*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 20*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 
   3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6447] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 8*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 6448] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   3*z^4 + 10*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6449] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6450] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6451] -> -3 - a^(-4) + 4/a^2 + a^4 - 15*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6452] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 
   5*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6453] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   5*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 - 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6454] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6455] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6456] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6457] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6458] -> 
  a^(-2) - a^2 + a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6459] -> 
  1 - 4*z^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6460] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6461] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6462] -> a^(-4) - a^(-2) + a^2 - 9*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6463] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6464] -> -5 - 3/a^6 + 9/a^2 - 14*z^2 - (11*z^2)/a^6 + 
   (11*z^2)/a^4 + (23*z^2)/a^2 - 14*z^4 - (13*z^4)/a^6 + (23*z^4)/a^4 + 
   (29*z^4)/a^2 - 6*z^6 - (6*z^6)/a^6 + (19*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^6 + (7*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 6465] -> -3/a^6 + 5/a^4 - a^(-2) - z^2/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 6466] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   (2*z^2)/a^6 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^4 - z^4/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6467] -> 
  1 - z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6468] -> 
  -a^(-6) + a^(-4) + a^(-2) - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   2*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 5*a^2*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 6469] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 11*z^2 - z^2/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 
   20*z^4 + z^4/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 6470] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 
   2*z^2 - z^2/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 6471] -> 
  1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6472] -> 2*a^2 - a^4 - 12*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6473] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6474] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   21*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6475] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (30*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - 
   (37*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6476] -> -4 + 11*a^2 - 7*a^4 + a^6 - 
   16*z^2 + (2*z^2)/a^2 + 34*a^2*z^2 - 19*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + 
   (3*z^4)/a^2 + 40*a^2*z^4 - 20*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   23*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6477] -> 2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6478] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 8*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6479] -> 4 - 2/a^2 - a^4 + 8*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6480] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (19*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (15*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6481] -> 1 - 6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6482] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6483] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6484] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (27*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (34*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (21*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6485] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6486] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6487] -> -8 + 4/a^2 + 6*a^2 - a^4 - 29*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6488] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6489] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 6490] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6491] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   12*z^2 + z^2/a^4 + 21*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 6492] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (22*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (15*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6493] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + (2*z^2)/a^12 - z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6494] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (11*z^2)/a^10 - 
   (21*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (7*z^4)/a^10 - 
   (24*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6495] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 29*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 24*a^2*z^2 - 6*a^4*z^2 - 36*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6496] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6497] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 12*a^2*z^2 - 19*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - z^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 6498] -> -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6499] -> 3*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 6500] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 29*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 
   34*z^4 - (8*z^4)/a^4 + (29*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 17*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6501] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6502] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 7*a^4*z^2 + 15*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 2*z^4 - a^2*z^4 - 11*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6503] -> 1 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 6504] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 + (9*z^2)/a^10 - (21*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 - (25*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (15*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6505] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6506] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6507] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6508] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6509] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6510] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 21*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (30*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6511] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6512] -> 
  2 - a^2 - a^4 + a^6 - 4*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 14*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6513] -> 1 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6514] -> 
  a^(-2) - a^2 + a^4 - 9*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 18*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6515] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6516] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 
   14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6517] -> -1 + a^(-2) + a^2 - 10*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6518] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6519] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 
   2*a^6 - 19*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 
   22*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   z^6/a^2 + 21*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6520] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (28*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (19*z^4)/a^6 - 
   (36*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6521] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + 
   a^6 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6522] -> 3 - a^(-2) - a^2 + 7*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6523] -> -4 - 3/a^6 + a^(-4) + 7/a^2 - 12*z^2 - 
   (9*z^2)/a^6 + (9*z^2)/a^4 + (20*z^2)/a^2 - 13*z^4 - (12*z^4)/a^6 + 
   (20*z^4)/a^4 + (26*z^4)/a^2 - 6*z^6 - (6*z^6)/a^6 + (18*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 6524] -> -2 - a^(-8) - a^(-6) + 2/a^4 + 
   3/a^2 - 5*z^2 - (2*z^2)/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + z^4/a^6 + (14*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 6525] -> 
  2/a^12 - 2/a^10 - 5/a^8 + 6/a^6 + (7*z^2)/a^12 - (9*z^2)/a^10 - 
   (13*z^2)/a^8 + (17*z^2)/a^6 + (11*z^4)/a^12 - (18*z^4)/a^10 - 
   (19*z^4)/a^8 + (17*z^4)/a^6 + (6*z^6)/a^12 - (17*z^6)/a^10 - 
   (17*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[14, Alternating, 6526] -> 
  a^(-12) - 4/a^8 + 2/a^6 + 2/a^4 + (4*z^2)/a^12 - (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (13*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6527] -> 2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6528] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + (2*z^2)/a^12 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6529] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (5*z^2)/a^8 - (8*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + (8*z^4)/a^8 - (13*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 6530] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6531] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 6532] -> 
  a^2 + a^4 - a^6 - 2*z^2 + (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6533] -> 2*a^2 - a^4 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 6534] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 9*a^4*z^2 + 
   28*a^6*z^2 - 10*a^8*z^2 - 2*a^10*z^2 - 12*a^4*z^4 + 32*a^6*z^4 + 
   3*a^8*z^4 - 7*a^10*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 11*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 6535] -> -a^2 + 4*a^4 - 2*a^6 + a^8 - 
   a^10 - 4*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 - 
   4*a^2*z^4 + 10*a^4*z^4 + 9*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 6536] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 26*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 33*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6537] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 
   5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 
   6*z^4 - z^4/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6538] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 8*a^4*z^2 + 
   27*a^6*z^2 - 11*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 29*a^6*z^4 - 
   4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6539] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 25*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   28*a^2*z^2 - 9*a^4*z^2 - 30*z^4 - z^4/a^4 + (11*z^4)/a^2 + 34*a^2*z^4 - 
   9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6540] -> 
  4*a^6 - 3*a^8 - 2*a^2*z^2 + 2*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6541] -> 
  2*a^4 - a^6 + a^8 - a^10 - z^2 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 6542] -> 5*a^6 - 5*a^8 + a^10 - 2*a^2*z^2 + 
   2*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 13*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6543] -> 
  2*a^4 - a^8 - z^2 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^10*z^2 - z^4 + 
   a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 6544] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (30*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (33*z^4)/a^6 - (31*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 6545] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6546] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6547] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6548] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (6*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (21*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 6549] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + 
   (15*z^2)/a^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - (22*z^4)/a^4 + 
   (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6550] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + (4*z^2)/a^10 - (14*z^2)/a^8 + 
   (26*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (31*z^4)/a^6 - (25*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 6551] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6552] -> 2 + a^(-4) - 2/a^2 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6553] -> -2 + a^(-4) + 2*a^2 - 15*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + 
   (17*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6554] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6555] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 7*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 6556] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (31*z^4)/a^6 - (25*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 6557] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6558] -> 1 + z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 7*a^2*z^4 - 13*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6559] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6560] -> -7 + 4/a^2 + 4*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6561] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 6562] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 - (14*z^2)/a^8 + (16*z^2)/a^6 + (7*z^4)/a^12 - 
   (5*z^4)/a^10 - (22*z^4)/a^8 + (17*z^4)/a^6 + (5*z^6)/a^12 - 
   (11*z^6)/a^10 - (18*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 6563] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6564] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + (4*z^2)/a^12 - (7*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^12 - (9*z^4)/a^10 + 
   z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6565] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - z^2/a^10 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6566] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 16*z^2 + (3*z^2)/a^2 + 29*a^2*z^2 - 
   18*a^4*z^2 + 3*a^6*z^2 - 27*z^4 + (8*z^4)/a^2 + 35*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 20*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6567] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6568] -> 2*a^2 - 2*a^6 + a^8 - 6*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 7*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 6569] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6570] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6571] -> -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6572] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6573] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + (16*z^4)/a^6 - 
   (11*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6574] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6575] -> 1 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 6576] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6577] -> -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 - z^2/a^4 + 
   (8*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6578] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 15*z^2 + 
   (7*z^2)/a^6 - (22*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + 
   (5*z^4)/a^6 - (25*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6579] -> 
  -1 + a^(-8) - 3/a^6 + 3/a^4 + a^2 - 7*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 6580] -> 
  -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 14*z^2 + (7*z^2)/a^6 - (23*z^2)/a^4 + 
   (27*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (8*z^4)/a^6 - (31*z^4)/a^4 + 
   (32*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6581] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (6*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6582] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 - z^2/a^8 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6583] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 4*z^2 + 
   19*a^2*z^2 - 29*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 28*a^2*z^4 - 
   35*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 20*a^2*z^6 - 17*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6584] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6585] -> 
  1 + a^2 - 2*a^4 + a^6 - 7*z^2 + z^2/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 6586] -> 
  1 - a^4 + 2*a^6 - a^8 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6587] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6588] -> 
  6 - 3/a^2 - a^2 - a^4 + 10*z^2 - (6*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   14*z^4 - (8*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 6589] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 
   5*z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 
   4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 6590] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 24*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (29*z^2)/a^2 + 7*a^2*z^2 - 32*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (32*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6591] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 6*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6592] -> 2 - a^(-2) + a^2 - a^4 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6593] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 + z^6 + (5*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6594] -> -1 - 2/a^4 + 4/a^2 - 8*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (26*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6595] -> 2/a^6 - 5/a^4 + 4/a^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6596] -> 
  -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 - 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 6597] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 14*z^2 + 
   (3*z^2)/a^2 + 25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6598] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - 2*z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 6599] -> 
  4 + a^(-4) - 3/a^2 - a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 - 7*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6600] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 - z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6601] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   16*z^2 + (6*z^2)/a^6 - (21*z^2)/a^4 + (28*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (8*z^4)/a^6 - (30*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6602] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (16*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6603] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 5*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 7*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[14, Alternating, 6604] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6605] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6606] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6607] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + 
   19*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6608] -> 2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 9*a^6*z^2 - 13*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 12*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 6609] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 6610] -> 
  1 + a^4 - 2*a^6 + a^8 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 6611] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 13*a^4*z^2 + 18*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 22*a^4*z^4 + 24*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6612] -> 3*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6613] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + z^4 + a^2*z^4 - 11*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + z^6 - a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6614] -> 1 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 20*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6615] -> 
  1 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6616] -> 1 - a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - (2*z^4)/a^2 + 9*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 6617] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   15*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6618] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6619] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 6620] -> -a^(-6) + a^(-4) + a^(-2) - 
   7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6621] -> -3 - a^(-6) + 4/a^2 + a^2 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6622] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6623] -> -1 + a^(-4) + a^4 - 11*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 19*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6624] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6625] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6626] -> -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6627] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 + 
   a^2*z^4 - 10*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6628] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6629] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6630] -> 
  -7 + 4/a^2 + 4*a^2 - 19*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6631] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (15*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6632] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6633] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 
   a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6634] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   25*z^4 - z^4/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 6635] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6636] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + 
   (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6637] -> a^(-4) - a^(-2) + a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6638] -> 3 - 4*a^2 + 2*a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6639] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6640] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6641] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 + z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - 
   (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 6642] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 6643] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - 
   (7*z^4)/a^10 + (8*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^10 + 
   (12*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 6644] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6645] -> 
  a^(-6) - a^(-4) + a^2 - 3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6646] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   2*z^2 - a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 
   14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6647] -> a^2 + a^4 - a^6 - 9*z^2 + (3*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (6*z^4)/a^2 + 18*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6648] -> 
  -1 + a^(-4) + a^4 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6649] -> -8 + 4/a^2 + 6*a^2 - a^4 - 25*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6650] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 - z^4/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 6651] -> 
  -1 + a^(-2) + a^2 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6652] -> 
  2*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   19*z^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 + 
   (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6653] -> 2 - a^(-2) + a^2 - a^4 - z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6654] -> 
  -1 + 4*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6655] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 5*z^2 + 17*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6656] -> 
  3 - a^(-2) - 2*a^4 + a^6 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 6657] -> 2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[14, Alternating, 6658] -> 
  3 - a^(-2) - 2*a^4 + a^6 - 2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6659] -> 
  2 - a^(-2) + a^2 - a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6660] -> 
  3 - 3*a^2 + a^6 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6661] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6662] -> 2 + a^2 - 6*a^4 + 5*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6663] -> 
  1 + a^(-2) - 2*a^2 + a^6 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^6*z^2 - 
   a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 6664] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6665] -> 1 + 2/a^4 - 3/a^2 + a^2 + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 6666] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 6667] -> 2*a^2 - 2*a^6 + a^8 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 6668] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6669] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6670] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 6671] -> 
  1 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 8*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6672] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   10*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6673] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6674] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6675] -> 
  1 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6676] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6677] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 5*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 6678] -> -4 - 3/a^6 + a^(-4) + 7/a^2 - 12*z^2 - 
   (11*z^2)/a^6 + (13*z^2)/a^4 + (18*z^2)/a^2 - 13*z^4 - (13*z^4)/a^6 + 
   (24*z^4)/a^4 + (25*z^4)/a^2 - 6*z^6 - (6*z^6)/a^6 + (19*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 6679] -> -1 - a^(-8) - 2/a^6 + 5/a^4 - 
   4*z^2 - (4*z^2)/a^8 + (14*z^2)/a^4 + z^2/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (17*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 6680] -> -3/a^6 + 3/a^4 + 2/a^2 - a^2 - z^2 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6681] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4/a^8 + 
   z^4/a^6 + (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 6682] -> 
  -2/a^6 + 3/a^4 + z^2 - z^2/a^8 + (3*z^2)/a^6 + 2*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6683] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^10 - z^4/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6684] -> 
  5 - 2/a^2 - 2*a^2 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6685] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6686] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 28*a^2*z^2 - 21*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   36*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6687] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (27*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (18*z^4)/a^6 - (36*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6688] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 15*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + 
   (31*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (39*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6689] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6690] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6691] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 6692] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (24*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6693] -> -1 - 2/a^4 + 4/a^2 - 8*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6694] -> a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6695] -> 
  -2 + a^(-4) + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6696] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 6*a^2*z^2 - 17*a^4*z^2 + 27*a^6*z^2 - 
   15*a^8*z^2 + 3*a^10*z^2 + 8*a^2*z^4 - 29*a^4*z^4 + 33*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 17*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6697] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6698] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + (6*z^2)/a^10 - (18*z^2)/a^8 + 
   (24*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + (5*z^4)/a^10 - (23*z^4)/a^8 + 
   (29*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (12*z^6)/a^8 + 
   (19*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 6699] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 27*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - (8*z^4)/a^4 + (29*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6700] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 2*z^2 + (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6701] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 6*z^2 + 
   21*a^2*z^2 - 26*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 31*a^2*z^4 - 
   32*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6702] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6703] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6704] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - 3*a^4*z^2 + 
   23*a^6*z^2 - 25*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 - 7*a^4*z^4 + 
   31*a^6*z^4 - 32*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 
   20*a^6*z^6 - 17*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 6705] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - 
   a^12 - a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 9*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 6706] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 26*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 33*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6707] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   4*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (27*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (19*z^4)/a^6 - (36*z^4)/a^4 + (22*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6708] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6709] -> 
  -2 + 2/a^2 + a^4 - 14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6710] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (24*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6711] -> -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 6712] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6713] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6714] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 2*z^2 - 
   9*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 
   13*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 6715] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 23*z^2 + (7*z^2)/a^2 + 25*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 32*z^4 + (9*z^4)/a^2 + 31*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6716] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (16*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6717] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6718] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 8*a^2*z^2 - 21*a^4*z^2 + 26*a^6*z^2 - 
   11*a^8*z^2 + 2*a^10*z^2 + 9*a^2*z^4 - 32*a^4*z^4 + 31*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 21*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6719] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6720] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 20*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (26*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + 
   (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6721] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - 
   (8*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6722] -> -2 + 2/a^2 + a^4 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6723] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^12 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6724] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (20*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 + (9*z^4)/a^10 - (22*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 6725] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 
   30*z^2 - z^2/a^4 + (12*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 38*z^4 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6726] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 + 
   5*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 6727] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 + a^4*z^2 + 13*a^6*z^2 - 15*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 12*a^6*z^4 - 15*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 6728] -> -1 - a^(-4) + 3/a^2 - a^2 + 
   a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6729] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   z^2/a^12 + (7*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (23*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6730] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6731] -> -a^(-8) + 2/a^4 + z^2/a^12 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 6732] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 
   7*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6733] -> -1 + a^(-2) + a^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6734] -> 
  -a^(-4) + 2/a^2 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6735] -> 4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 - 6*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6736] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 9*z^2 + 
   z^2/a^4 + 12*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6737] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 18*z^2 + 
   (5*z^2)/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   32*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6738] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 26*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 35*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6739] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + 
   a^6 + 3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6740] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6741] -> a^(-6) - 3/a^4 + 3/a^2 + (4*z^2)/a^8 - 
   z^2/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 + (8*z^4)/a^8 - (11*z^4)/a^6 - 
   (17*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - (14*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 6742] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 4*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 
   3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6743] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^10 - (2*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 6744] -> -3 - 3/a^6 + 2/a^4 + 5/a^2 - 
   9*z^2 - (9*z^2)/a^6 + (12*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 - 
   (10*z^4)/a^6 + (19*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 6745] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6746] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (7*z^2)/a^8 - (10*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + (9*z^4)/a^8 - 
   (16*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 6747] -> 
  a^(-12) - 5/a^8 + 4/a^6 + a^(-4) + (3*z^2)/a^12 - (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6748] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 + (3*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6749] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 6750] -> 3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 - (14*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (15*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6751] -> 
  a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + z^2/a^12 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6752] -> 
  2 + 2/a^6 - 3/a^4 + 4*z^2 + z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (14*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6753] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 6754] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 
   17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 6755] -> 
  -a^2 + 3*a^4 - a^10 - 3*a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 12*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6756] -> 
  2*a^4 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6757] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 4*a^4*z^2 + 
   21*a^6*z^2 - 8*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 24*a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6758] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6759] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6760] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6761] -> -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[14, Alternating, 6762] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 6763] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 25*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (26*z^2)/a^2 + 8*a^2*z^2 - 34*z^4 + z^4/a^6 - (9*z^4)/a^4 + (30*z^4)/a^2 + 
   10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 6764] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 7*a^4*z^2 + 24*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 26*a^6*z^4 - 2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 6765] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 
   19*z^2 - z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6766] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 + 
   13*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 6767] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   5*z^2 + 17*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6768] -> -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 6769] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2/a^2 + 9*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 6770] -> a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (23*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 6771] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6772] -> 3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6773] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - a^2*z^2 - 6*a^4*z^2 + 27*a^6*z^2 - 
   13*a^8*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 28*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6774] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 17*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + 
   (31*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + (3*z^4)/a^6 - (21*z^4)/a^4 + 
   (38*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6775] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6776] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (16*z^4)/a^4 + z^6 + (5*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6777] -> 2 - 4*a^4 + 4*a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6778] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 - z^2/a^4 + 
   z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 6779] -> -a^(-4) + 2/a^2 - 8*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6780] -> 1 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6781] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 6782] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 6783] -> -1 + a^(-2) + a^2 - 10*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6784] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 5*z^2 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6785] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 6786] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6787] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6788] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6789] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6790] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 6791] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6792] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 18*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6793] -> -2/a^10 + 2/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 + (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6794] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6795] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (7*z^2)/a^10 - (14*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (20*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6796] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 
   14*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 18*a^2*z^4 - 
   36*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 22*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6797] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 28*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6798] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6799] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (16*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (23*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6800] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   z^2/a^12 + (6*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6801] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6802] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6803] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6804] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + (8*z^2)/a^10 - (16*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (21*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6805] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6806] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   2*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6807] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6808] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 27*z^2 - 
   (6*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 32*z^4 - 
   (9*z^4)/a^4 + (31*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 16*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6809] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 11*z^2 + 
   (5*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6810] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - 
   (10*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6811] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 11*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (18*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6812] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6813] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 
   11*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6814] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + 
   (6*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6815] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6816] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6817] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^12 + 
   z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6818] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 6819] -> a^(-12) - a^(-10) - 3/a^8 + 
   3/a^6 + a^(-4) + (3*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6820] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 6821] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6822] -> 3 - a^(-4) - a^4 + 6*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 6823] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 6824] -> -a^(-6) + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6825] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 - 
   (2*z^4)/a^10 + (12*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6826] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6827] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 6828] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 6829] -> a^2 + a^4 - a^6 - 3*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 6*z^4 + z^4/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 6830] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6831] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6832] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 5*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 12*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6833] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 6834] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6835] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 8*a^2*z^2 - 14*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 6836] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   14*z^2 + (4*z^2)/a^6 - (21*z^2)/a^4 + (34*z^2)/a^2 + a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (22*z^4)/a^4 + (41*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6837] -> 
  -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - a^2*z^2 - 4*a^4*z^2 + 24*a^6*z^2 - 
   16*a^8*z^2 + 2*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 25*a^6*z^4 - 9*a^8*z^4 - 
   a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6838] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6839] -> 
  5*a^6 - 5*a^8 + a^10 - a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 - z^4 - 
   a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 6840] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 2*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6841] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 8*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   10*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 6842] -> 
  -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 - 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 6843] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6844] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 2*z^2 - 
   8*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   12*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 6845] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6846] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 6847] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 6848] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   5*z^2 + 17*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   25*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6849] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - 
   z^2/a^6 + z^2/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 6850] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 6851] -> 
  1 + a^2 - a^4 - a^6 + a^8 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - z^4 + z^4/a^2 + a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6852] -> 3 + a^(-6) - 3/a^2 + 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6853] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - a^4*z^2 + 
   17*a^6*z^2 - 18*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - a^2*z^4 - a^4*z^4 + 
   15*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 7*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 6854] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 6855] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - z^4 + z^4/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 6856] -> -4 + 3/a^2 + a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 6857] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + (6*z^2)/a^10 - (10*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6858] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 + a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6859] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6860] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 6861] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6862] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 - z^4 + a^4*z^4 + 
   2*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 6863] -> 2/a^6 - 5/a^4 + 4/a^2 - 8*z^2 + (5*z^2)/a^6 - 
   (16*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6864] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (15*z^2)/a^6 - 
   (10*z^2)/a^4 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (14*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6865] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 28*z^2 - z^2/a^4 + (11*z^2)/a^2 + 
   27*a^2*z^2 - 7*a^4*z^2 - 37*z^4 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   26*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + (9*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6866] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (22*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + (9*z^4)/a^10 - (23*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 6867] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6868] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (6*z^2)/a^10 - (10*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6869] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6870] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 + z^2/a^16 - (5*z^2)/a^14 - (6*z^2)/a^12 + (10*z^2)/a^10 + 
   (10*z^2)/a^8 - (4*z^4)/a^14 + z^4/a^12 + (16*z^4)/a^10 + (12*z^4)/a^8 + 
   z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 6871] -> -4 - 3/a^6 + a^(-4) + 7/a^2 - 10*z^2 - 
   (9*z^2)/a^6 + (11*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 - (10*z^4)/a^6 + 
   (19*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 6872] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   11*z^2 - (8*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 17*z^4 - (9*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 6873] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 6874] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 6875] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^4 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6876] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 - (2*z^4)/a^10 + (10*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6877] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6878] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6879] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6880] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6881] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6882] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 5*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 6883] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6884] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6885] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + 
   (6*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6886] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 6887] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 6888] -> 
  2/a^16 - 3/a^14 - 3/a^12 + 3/a^10 + 2/a^8 + (3*z^2)/a^16 - (11*z^2)/a^14 - 
   (5*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (4*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 6889] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 - (8*z^4)/a^6 + 
   (11*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 6890] -> -a^(-8) + a^(-6) + a^(-2) - 
   2*z^2 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 + (2*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 6891] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - z^2 - 
   (4*z^2)/a^8 + (16*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 6892] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - 
   (7*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6893] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 + z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (6*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 6894] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6895] -> -a^(-4) + 2/a^2 - 10*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (21*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 6896] -> -1 - a^(-6) + 3/a^2 - 5*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (19*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6897] -> -1 + a^(-2) + a^2 - 11*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 6898] -> 2*a^2 - a^4 - 12*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6899] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 
   20*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 
   33*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6900] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6901] -> -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6902] -> -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6903] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 6904] -> 
  1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6905] -> -8 + 4/a^2 + 6*a^2 - a^4 - 19*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 6906] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 6907] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 
   9*z^2 + z^2/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 - 13*z^4 + 
   (2*z^4)/a^2 + 28*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 6908] -> 2*a^4 - a^8 - a^2*z^2 + 
   4*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 9*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 6909] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6910] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6911] -> 
  2*a^2 - a^4 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 + 
   (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6912] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 6913] -> 
  1 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6914] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 6915] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   20*a^2*z^2 - 24*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 
   33*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 6916] -> 3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 
   7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 6917] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 6918] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 6919] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 6920] -> 3 - a^(-2) - a^2 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6921] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 6922] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 6923] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 6924] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (15*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6925] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6926] -> 
  -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^6 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 6927] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 6928] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 6929] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 6930] -> -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + 
   a^2 + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6931] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 10*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 9*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 6932] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6933] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 13*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6934] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6935] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 6936] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 9*z^2 - (9*z^2)/a^6 + (12*z^2)/a^4 + 
   (12*z^2)/a^2 - 12*z^4 - (12*z^4)/a^6 + (21*z^4)/a^4 + (21*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^6 + (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 6937] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 4*z^2 - 
   (2*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (13*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 6938] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + z^4 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 6939] -> -a^(-8) + 2/a^4 - z^2 - z^2/a^8 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4/a^8 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 6940] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (9*z^2)/a^8 - (11*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 + (12*z^4)/a^8 - 
   (21*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 + (6*z^6)/a^8 - (18*z^6)/a^6 - 
   (18*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 6941] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 3*z^2 + (5*z^2)/a^8 - (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - 
   (15*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 6942] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (5*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6943] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) + 5*z^2 + (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 - z^2/a^2 + 4*z^4 + (3*z^4)/a^8 - (19*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (10*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 6944] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^12 - (2*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6945] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 6946] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 9*a^4*z^2 + 25*a^6*z^2 - 2*a^8*z^2 - 
   5*a^10*z^2 - 12*a^4*z^4 + 31*a^6*z^4 + 8*a^8*z^4 - 8*a^10*z^4 - 
   6*a^4*z^6 + 20*a^6*z^6 + 12*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 6947] -> -2*a^4 + 8*a^6 - 5*a^8 - 2*a^2*z^2 - 
   a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   17*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 6948] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - 
   4*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 6949] -> -a^2 + 3*a^4 - a^10 - z^2 + 5*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 6950] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   28*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 21*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 6951] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 
   7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 
   7*z^4 - z^4/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 6952] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 7*a^4*z^2 + 
   23*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - 5*a^4*z^4 + 26*a^6*z^4 - 
   a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 6953] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (19*z^2)/a^4 + 
   (20*z^2)/a^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - (23*z^4)/a^4 + 
   (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6954] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 26*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   23*a^2*z^2 - 7*a^4*z^2 - 31*z^4 - z^4/a^4 + (11*z^4)/a^2 + 32*a^2*z^4 - 
   9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 6955] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 6956] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (27*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (32*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 6957] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6958] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6959] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + z^2/a^10 - 
   z^2/a^8 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 6960] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   7*a^2*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6961] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - 2*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 
   8*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - 
   8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 6962] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 6963] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + (4*z^2)/a^10 - (14*z^2)/a^8 + 
   (25*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (31*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 6964] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6965] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 6966] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6967] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2/a^10 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 6968] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6969] -> -a^(-12) + 2/a^6 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 + (6*z^4)/a^12 - (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (16*z^4)/a^6 + (5*z^6)/a^12 - (10*z^6)/a^10 - (17*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 6970] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   z^2/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 6971] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 6972] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 6973] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (7*z^2)/a^10 + (10*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (4*z^4)/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 6974] -> 
  -2/a^10 + 2/a^8 + a^(-4) + (2*z^2)/a^12 - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6975] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6976] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (11*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 6977] -> -a^(-4) + 2/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + z^2/a^6 - z^2/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6978] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 18*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 6979] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 9*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 6980] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 6981] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + 
   (25*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (8*z^4)/a^6 - (29*z^4)/a^4 + 
   (33*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 6982] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6983] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (7*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6984] -> -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^6 - 
   2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 6985] -> -a^(-8) + a^(-6) + a^(-2) - z^2 - 
   z^2/a^10 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^10 + 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 6986] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 6987] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 6988] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 7*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + z^4/a^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 6989] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - 
   a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 11*a^8*z^2 + 5*a^10*z^2 - z^4 - 
   a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6, Knot[14, Alternating, 6990] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 + z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 6991] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 6992] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 6993] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2 + z^2/a^12 + z^2/a^10 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 6994] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 6995] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 6996] -> 
  -1 - 4/a^4 + 7/a^2 - a^2 - z^2 - (2*z^2)/a^6 - (4*z^2)/a^4 + (15*z^2)/a^2 - 
   3*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + z^4/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 6997] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   2*z^2 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 
   z^4/a^8 + (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 6998] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 6999] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7000] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 18*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 7001] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 + z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 7002] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7003] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 17*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7004] -> -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 
   23*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7005] -> -a^(-4) + 2/a^2 + z^2/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7006] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7007] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (14*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7008] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7009] -> 2 - 2*a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 12*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 7010] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 7011] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 6*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7012] -> 
  1 + a^2 - 2*a^4 + a^6 - 5*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7013] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (3*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7014] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 7015] -> 
  2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + (3*z^2)/a^16 - (13*z^2)/a^14 - 
   (3*z^2)/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + 
   (7*z^4)/a^12 + (28*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 7016] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 + z^2/a^16 - (5*z^2)/a^14 - (5*z^2)/a^12 + (9*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + z^4/a^12 + (13*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 7017] -> 2 - 3/a^2 + 7*a^2 - 5*a^4 + 
   10*z^2 - (10*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 21*z^4 - (12*z^4)/a^2 + 
   27*a^2*z^4 - 13*a^4*z^4 + 18*z^6 - (6*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 
   7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 7018] -> 3 - a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + 
   12*z^2 - (3*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 16*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 7019] -> 4 - 2/a^4 + a^(-2) - a^2 - a^4 + 11*z^2 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 15*z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 7020] -> -a^(-6) + 2/a^2 + a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 7021] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 10*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 7022] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 7023] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7024] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 29*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 7025] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 
   2*a^8 + 3*z^2 - 4*a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 10*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 7026] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7027] -> a^(-8) - a^(-6) + a^2 - 2*z^2 + z^2/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 7028] -> 2 + a^(-8) - a^(-6) - a^(-2) + 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7029] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 31*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   29*a^2*z^2 - 8*a^4*z^2 - 37*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7030] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7031] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 7032] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 7033] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7034] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (17*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7035] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 
   6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 7036] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (14*z^2)/a^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + 
   (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7037] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 3*z^2 + 12*a^2*z^2 - 11*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 7038] -> 6*a^2 - 11*a^4 + 8*a^6 - 2*a^8 - 
   4*z^2 + 19*a^2*z^2 - 33*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 
   22*a^2*z^4 - 38*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7039] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 
   22*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + (34*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (38*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7040] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7041] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7042] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7043] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7044] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7045] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 
   3*z^2 - z^2/a^2 - a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7046] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + (8*z^2)/a^10 - (18*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (21*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7047] -> -a^(-8) + 2/a^4 + z^2/a^12 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 7048] -> -a^(-4) + 2/a^2 + z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7049] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7050] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 14*a^4*z^2 + 20*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   6*a^2*z^4 - 22*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7051] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 
   2*a^2 - 19*z^2 + (7*z^2)/a^6 - (23*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 
   22*z^4 + (5*z^4)/a^6 - (26*z^4)/a^4 + (34*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + 
   z^6/a^6 - (12*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7052] -> 
  -3 + a^(-8) - 3/a^6 + 3/a^4 + a^(-2) + 2*a^2 - 9*z^2 + (3*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^8 - 
   (8*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7053] -> 1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + 
   3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + z^4/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7054] -> a^(-8) - 2/a^6 + a^(-4) + a^(-2) - a^2 + 
   a^4 - z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 7055] -> 1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + 
   4*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7056] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 + 
   2*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 
   7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 7057] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + 
   (19*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7058] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 7059] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 7060] -> 2 + a^(-8) - 2/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7061] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - 
   z^2 + z^2/a^10 - (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7062] -> 
  -8 + 3/a^2 + 9*a^2 - 3*a^4 - 22*z^2 - z^2/a^4 + (8*z^2)/a^2 + 21*a^2*z^2 - 
   6*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 7063] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 7064] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 18*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 7065] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (31*z^2)/a^4 + (19*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (20*z^4)/a^6 - (39*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (23*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7066] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (24*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (26*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 7067] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 
   27*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 33*a^2*z^4 - 9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7068] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   26*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 33*a^2*z^4 - 9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7069] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7070] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - a^2*z^2 - 4*a^4*z^2 + 22*a^6*z^2 - 
   11*a^8*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7071] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 28*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (27*z^2)/a^2 + 9*a^2*z^2 - 35*z^4 + z^4/a^6 - (9*z^4)/a^4 + (30*z^4)/a^2 + 
   10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 7072] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7073] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 7074] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   z^2/a^12 + (6*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (15*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7075] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + z^2/a^6 - (8*z^2)/a^4 + (19*z^2)/a^2 + 
   3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7076] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7077] -> 1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 7078] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + 
   6*a^2*z^2 - 19*a^4*z^2 + 31*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 + 
   9*a^2*z^4 - 31*a^4*z^4 + 36*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   21*a^4*z^6 + 17*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7079] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 
   z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   17*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7080] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 26*z^2 + 
   (8*z^2)/a^2 + 29*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 35*z^4 + 
   (10*z^4)/a^2 + 33*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 
   16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7081] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - 4*a^4*z^2 + 
   26*a^6*z^2 - 29*a^8*z^2 + 15*a^10*z^2 - 3*a^12*z^2 - 8*a^4*z^4 + 
   34*a^6*z^4 - 34*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 
   21*a^6*z^6 - 17*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 7082] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 29*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 
   36*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 7083] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 21*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + 
   (30*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (37*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7084] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7085] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 + z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7086] -> -2/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7087] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - 
   (20*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7088] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7089] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7090] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 - 
   (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 7091] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^10 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7092] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 3*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 7093] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 
   2*a^2 - 13*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 
   15*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7094] -> 
  1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + a^4 + 5*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 7095] -> 
  -3 + a^(-2) + 8*a^2 - 8*a^4 + 3*a^6 - 15*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 
   23*a^4*z^2 + 6*a^6*z^2 - 19*z^4 + (3*z^4)/a^2 + 35*a^2*z^4 - 24*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7096] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 2*z^2 + 13*a^2*z^2 - 23*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7097] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 16*z^2 + (6*z^2)/a^6 - (22*z^2)/a^4 + 
   (27*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (8*z^4)/a^6 - (30*z^4)/a^4 + 
   (33*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 7098] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 + 
   z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7099] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (10*z^2)/a^10 - (18*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 + (6*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7100] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 29*z^2 - (7*z^2)/a^4 + (23*z^2)/a^2 + 
   13*a^2*z^2 - 2*a^4*z^2 - 32*z^4 - (9*z^4)/a^4 + (32*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 16*z^6 - (5*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7101] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 24*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 7102] -> 
  1 - 2*a^2 + 2*a^4 + 3*a^6 - 4*a^8 + a^10 + 3*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 
   17*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 3*z^4 - 4*a^2*z^4 - 12*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 7103] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7104] -> 3/a^8 - 5/a^6 + 3/a^2 + (3*z^2)/a^10 + 
   (4*z^2)/a^8 - (14*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - 
   (2*z^4)/a^8 - (19*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 7105] -> 
  1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - z^4/a^8 - 
   (8*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 7106] -> 
  2 + a^(-8) + a^(-6) - 4/a^4 + a^(-2) + 3*z^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (9*z^2)/a^4 + z^4 + z^4/a^10 - (7*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 7107] -> 1 + a^(-8) - a^(-4) - a^(-2) + a^2 + 
   z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   z^4 - z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, Alternating, 7108] -> -6 + a^(-4) + a^(-2) + 7*a^2 - 2*a^4 - 
   12*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 - z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 7109] -> -1 + a^(-4) - a^2 + 3*a^4 - a^6 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 - a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 7110] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   14*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 7111] -> -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 - a^4*z^2 + 
   16*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 7112] -> -6 + a^(-4) + a^(-2) + 7*a^2 - 
   2*a^4 - 10*z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7113] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   7*z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 7114] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7115] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + z^4/a^2 - a^4*z^4 + 
   3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, Alternating, 7116] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7117] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 - z^2 + 
   3*a^2*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 7118] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 7119] -> 3 - a^(-2) - a^2 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7120] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^6 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 7121] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7122] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2 + z^2/a^12 + z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 7123] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7124] -> 1 + z^2/a^10 - z^2/a^8 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7125] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 3*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   2*z^4 + z^4/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7126] -> -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - 3*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 7127] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + 
   a^4 - z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7128] -> -1 - a^(-6) + 3/a^2 - z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 7129] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   18*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7130] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 22*z^2 + 
   (6*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 31*z^4 + (9*z^4)/a^2 + 
   33*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 
   3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7131] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7132] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 7*a^2*z^2 - 
   17*a^4*z^2 + 20*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 7*a^2*z^4 - 
   26*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7133] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7134] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 7135] -> 1 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7136] -> 1 + 4*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 7137] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   18*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 27*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 7138] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 6*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7139] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + 
   (7*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + 
   (3*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7140] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7141] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7142] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 7143] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 2*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7144] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7145] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7146] -> -2/a^8 + a^(-6) + 3/a^4 - 
   a^(-2) - z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7147] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 - (7*z^2)/a^6 + (10*z^2)/a^4 + 
   (10*z^2)/a^2 - 9*z^4 - (9*z^4)/a^6 + (16*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 7148] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^4 - 
   3*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 7149] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 - (5*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7150] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2/a^2 + 
   10*a^2*z^2 - 19*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 7151] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7152] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 15*z^2 + 
   (6*z^2)/a^6 - (21*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (8*z^4)/a^6 - (30*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7153] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7154] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7155] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 7156] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 
   2*z^2 + 15*a^2*z^2 - 29*a^4*z^2 + 23*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 
   18*a^2*z^4 - 37*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7157] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 
   4*z^2 - z^2/a^2 - a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7158] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - (14*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 7159] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 
   6*z^2 - (7*z^2)/a^6 + (11*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 - (9*z^4)/a^6 + 
   (16*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 7160] -> -a^(-8) + 2/a^4 - 2*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (10*z^4)/a^4 + (2*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7161] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   (2*z^2)/a^16 - (5*z^2)/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (9*z^4)/a^14 + (26*z^4)/a^10 + (9*z^4)/a^8 - 
   (3*z^6)/a^14 + (6*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7162] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7163] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + 
   z^4/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7164] -> 
  a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) + z^2/a^16 - (3*z^2)/a^14 - 
   (5*z^2)/a^12 + (8*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + 
   z^4/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7165] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7166] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7167] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 
   23*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7168] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^10 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   z^4/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7169] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7170] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 7171] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7172] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 7173] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7174] -> 
  3 - 4*a^2 + 2*a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7175] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7176] -> 2 - a^2 - a^4 + a^6 - 2*z^2 - z^2/a^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + z^4/a^2 + 22*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7177] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 8*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7178] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 + z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7179] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + 2*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7180] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7181] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7182] -> -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7183] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 + (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7184] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7185] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7186] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7187] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^16 - 
   (3*z^2)/a^14 - (9*z^2)/a^12 + (11*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^4)/a^14 + (16*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + 
   (7*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7188] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7189] -> -a^(-4) + 2/a^2 - z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7190] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7191] -> -7 + 4/a^2 + 3*a^2 + 2*a^4 - a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 7192] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 7193] -> 
  -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7194] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 7195] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7196] -> 
  2 - 3/a^6 + 3/a^4 + a^(-2) - 2*a^2 + 4*z^2 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (8*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (4*z^6)/a^4 + (9*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 7197] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (17*z^4)/a^6 - 
   (19*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (16*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 7198] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7199] -> a^(-6) - a^(-4) + a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7200] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7201] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7202] -> a^(-6) - a^(-4) + a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7203] -> 
  a^(-6) - a^(-4) + a^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 7204] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 7205] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 - z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7206] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   7*z^2 + z^2/a^4 + 6*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + z^4/a^4 + 
   2*a^2*z^4 + 5*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 7207] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7208] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7209] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + 
   (5*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7210] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 12*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7211] -> -1 + 2/a^2 - a^2 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 7212] -> 
  4*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 + 5*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + 
   4*a^8*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 + z^6 + 
   3*a^2*z^6 + 2*a^4*z^6, Knot[14, Alternating, 7213] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7214] -> 
  2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*a^10*z^2 - 
   a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 7215] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^12 - 
   z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7216] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 2*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7217] -> 
  3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 7218] -> 1 + a^(-2) - 2*a^2 + a^6 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 7219] -> 1 - a^2 + 2*a^4 - a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7220] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7221] -> 5 + 2/a^6 - 4/a^4 - 2*a^2 + 9*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7222] -> 
  1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 7223] -> 3 - 3/a^6 + 4/a^4 - a^(-2) - 2*a^2 + 6*z^2 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7224] -> 1 - a^(-8) + a^(-4) + a^(-2) - a^2 + z^2 - 
   z^2/a^8 + (3*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 7225] -> 2/a^12 - 4/a^10 + 2/a^8 - 
   2/a^6 + 3/a^4 + (4*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7226] -> a^(-12) - a^(-10) - a^(-8) + a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7227] -> 2/a^10 - 4/a^8 + 2/a^6 - a^(-4) + 2/a^2 + 
   z^2/a^12 + (3*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7228] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + z^2 + z^2/a^12 + z^2/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 7229] -> 
  -2/a^6 + 3/a^4 - z^2/a^8 + (5*z^2)/a^4 - z^2/a^2 - z^4/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7230] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7231] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^10 - (12*z^2)/a^8 + (19*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^4)/a^10 - (2*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 7232] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^10 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7233] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7234] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2 - 
   (3*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4 - z^4/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7235] -> -3 + 8*a^2 - 4*a^4 - 12*z^2 + (2*z^2)/a^2 + 
   24*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7236] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7237] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - 
   (3*z^2)/a^4 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7238] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (10*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7239] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 9*a^2*z^2 - 3*a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 7240] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 7241] -> 
  4*a^6 - 3*a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 
   z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 7242] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7243] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - 
   (2*z^2)/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + (31*z^2)/a^6 - (7*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (28*z^4)/a^8 + (37*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^6)/a^10 - (15*z^6)/a^8 + (22*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 7244] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^4 - (3*z^2)/a^2 + (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 7245] -> 
  2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7246] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7247] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7248] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7249] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7250] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7251] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + z^2/a^12 + (4*z^2)/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + (3*z^4)/a^12 - (12*z^4)/a^8 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7252] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7253] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + (2*z^2)/a^12 - z^2/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7254] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 + z^2/a^12 + z^2/a^10 - z^2/a^6 + 
   (2*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 7255] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 
   2*a^8 - 6*z^2 + 21*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 
   31*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 
   16*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7256] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7257] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 2*z^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   5*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 3*z^4 + 7*a^2*z^4 - a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 7258] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7259] -> -a^(-4) + 2/a^2 + z^2/a^10 - z^2/a^6 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7260] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - (2*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7261] -> a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, Alternating, 7262] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   4*a^4*z^2 - a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7263] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7264] -> 
  -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7265] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7266] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   4*z^2 - z^2/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 8*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 7267] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   11*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 6*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 7268] -> 1 - a^6 + 2*a^8 - a^10 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 7269] -> 2 - 3/a^6 + 3/a^4 + a^(-2) - 2*a^2 + 4*z^2 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7270] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7271] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7272] -> 
  3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7273] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   4*a^4*z^2 - a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7274] -> -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7275] -> 
  -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 7276] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (5*z^2)/a^10 - (6*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7277] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7278] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 + 
   (5*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7279] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7280] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7281] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7282] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7283] -> 5 - 2/a^2 - 2*a^2 + 5*z^2 - (2*z^2)/a^2 - 
   a^4*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 7284] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (3*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^4)/a^10 - (6*z^4)/a^8 + (23*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 7285] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - 
   (2*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7286] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 - z^4/a^6 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 7287] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - z^6/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 7288] -> 1 + 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7289] -> 
  -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7290] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + (5*z^2)/a^10 - (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7291] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2/a^12 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7292] -> 
  -1 + 4*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 5*z^2 + 20*a^2*z^2 - 25*a^4*z^2 + 
   20*a^6*z^2 - 4*a^8*z^2 - 8*z^4 + 29*a^2*z^4 - 33*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 20*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7293] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 - z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 3*z^4 + 6*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - z^6 + 4*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 7294] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7295] -> 
  a^2 + a^8 - a^10 + z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^8*z^2 - z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 7296] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 7297] -> 
  -3/a^6 + 5/a^4 - a^(-2) + z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 + z^4/a^8 + z^4/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7298] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7299] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (5*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7300] -> -a^4 + 4*a^6 - 2*a^10 - 7*a^4*z^2 + 
   15*a^6*z^2 + 11*a^8*z^2 - 10*a^10*z^2 - 11*a^4*z^4 + 23*a^6*z^4 + 
   22*a^8*z^4 - 12*a^10*z^4 - 6*a^4*z^6 + 18*a^6*z^6 + 18*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 7301] -> 2*a^6 + a^8 - 2*a^10 - 
   2*a^2*z^2 + 11*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   15*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 7302] -> a^4 + 2*a^8 - 2*a^10 - 2*a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   12*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 7303] -> -3 + 8*a^2 - 4*a^4 - 11*z^2 + z^2/a^2 + 
   25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7304] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (7*z^2)/a^16 - (28*z^2)/a^14 + (11*z^2)/a^12 + (23*z^2)/a^10 + 
   (5*z^4)/a^16 - (39*z^4)/a^14 + (40*z^4)/a^12 + (34*z^4)/a^10 + z^6/a^16 - 
   (19*z^6)/a^14 + (39*z^6)/a^12 + (24*z^6)/a^10 - (3*z^8)/a^14 + 
   (15*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 7305] -> a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 
   3/a^8 + (3*z^2)/a^16 - (14*z^2)/a^14 + (8*z^2)/a^12 + (5*z^2)/a^10 + 
   (10*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + (15*z^4)/a^12 + (14*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^6)/a^14 + (10*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 7306] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 + (3*z^2)/a^12 + (13*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + (9*z^4)/a^12 + (24*z^4)/a^10 + 
   (9*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7307] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) + z^2/a^16 - (6*z^2)/a^14 + 
   z^2/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + 
   (3*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7308] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7309] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 7310] -> 
  -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 6*z^2 + 17*a^2*z^2 - 18*a^4*z^2 + 
   20*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 27*a^4*z^4 + 24*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7311] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7312] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7313] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 19*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 29*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (33*z^4)/a^2 + 8*a^2*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 7314] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + (24*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (31*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7315] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (26*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (32*z^4)/a^6 - (31*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 7316] -> a^(-10) - 6/a^8 + 7/a^6 - 
   a^(-4) - (2*z^2)/a^12 + (10*z^2)/a^10 - (24*z^2)/a^8 + (27*z^2)/a^6 - 
   (5*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (30*z^4)/a^8 + (34*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^6)/a^10 - (16*z^6)/a^8 + (21*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 7317] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7318] -> -2 + 7*a^2 - 5*a^4 + a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 28*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   36*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7319] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 25*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 35*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7320] -> -3 + 8*a^2 - 4*a^4 - 15*z^2 + 
   (2*z^2)/a^2 + 31*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (3*z^4)/a^2 + 
   39*a^2*z^4 - 20*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 23*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7321] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7322] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7323] -> 2*a^2 - a^4 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 7324] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 7325] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7326] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 7327] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 
   16*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7328] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7329] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7330] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 
   2*a^4 - 12*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 7331] -> 
  1 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7332] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7333] -> 
  -3 + 2/a^2 + 2*a^2 - 16*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 7334] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7335] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 19*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7336] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 7*a^2*z^2 - 
   16*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7337] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 17*z^2 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7338] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7339] -> -2 + 2/a^2 + a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 7340] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7341] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 14*z^6 + 
   (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7342] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 
   6*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 
   17*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7343] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + 15*a^2*z^2 - 
   14*a^4*z^2 + 4*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7344] -> 
  2 - 3*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   17*z^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 15*z^6 + 
   (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7345] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   4*a^4*z^2 + 13*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   17*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7346] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 + 
   (5*z^4)/a^10 - (23*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7347] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - 
   (8*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7348] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7349] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 3*z^4 + z^4/a^6 + z^4/a^2 + 2*a^2*z^4 - 2*z^6 + 
   z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 7350] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^2 + 3*z^4 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (6*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7351] -> 
  -2/a^6 + 3/a^4 + z^2 + (3*z^2)/a^4 - z^2/a^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7352] -> 2/a^6 - 5/a^4 + 4/a^2 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 + (8*z^4)/a^8 - (7*z^4)/a^6 - 
   (29*z^4)/a^4 + (13*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 7353] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   5*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 + 
   (3*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7354] -> -1 + a^(-2) + a^2 - 11*z^2 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + (5*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   15*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 7355] -> 
  -1 + 4*a^2 - 2*a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   (2*z^4)/a^2 - 7*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7356] -> 3 - a^(-2) - a^2 + 4*z^2 - 4*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 8*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7357] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 7358] -> a^(-16) - 3/a^14 + a^(-10) + 
   2/a^8 + (3*z^2)/a^16 - (15*z^2)/a^14 + (7*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (17*z^4)/a^12 + (21*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7359] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 5*a^4*z^2 + 9*a^6*z^2 + 18*a^8*z^2 - 
   12*a^10*z^2 - 8*a^4*z^4 + 14*a^6*z^4 + 29*a^8*z^4 - 13*a^10*z^4 - 
   5*a^4*z^6 + 13*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 7360] -> a^6 + 3*a^8 - 3*a^10 - a^2*z^2 - a^4*z^2 + 
   9*a^6*z^2 + 8*a^8*z^2 - 6*a^10*z^2 - 2*a^2*z^4 + 13*a^6*z^4 + 8*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7361] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + (2*z^2)/a^16 - (7*z^2)/a^14 - 
   (6*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 + 
   (4*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 7362] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7363] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 7364] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 9*a^4*z^2 + 21*a^6*z^2 + 6*a^8*z^2 - 
   9*a^10*z^2 - 12*a^4*z^4 + 27*a^6*z^4 + 20*a^8*z^4 - 12*a^10*z^4 - 
   6*a^4*z^6 + 19*a^6*z^6 + 18*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 7365] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 - 4*z^2 + 
   13*a^2*z^2 - 19*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   29*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7366] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 - 
   a^4*z^2 + 14*a^6*z^2 + 2*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   16*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 7367] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 - a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 17*a^6*z^4 + 
   2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7368] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 34*z^4 - z^4/a^4 + (13*z^4)/a^2 + 28*a^2*z^4 - 
   8*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7369] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 21*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (27*z^2)/a^2 + 6*a^2*z^2 - 31*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (32*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 7370] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (4*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (31*z^4)/a^6 - (25*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 7371] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7372] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7373] -> 3 - a^(-2) - a^2 + 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7374] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   13*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 7375] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 4*a^2*z^2 + 4*a^4*z^2 + 12*a^6*z^2 - 
   4*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 17*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7376] -> 
  a^4 + 2*a^6 - 2*a^8 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7377] -> 
  -a^2 + 3*a^4 - a^10 - z^2 - 2*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 
   2*a^10*z^2 - z^4 + 7*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 7378] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 - 2*a^2*z^2 + 7*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 - z^4 + 7*a^4*z^4 + 7*a^6*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 7379] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 7380] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 7*z^2 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 7381] -> -1 + 2/a^2 - 3*a^2 + 4*a^4 - a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7382] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 7383] -> 
  2*a^2 - 3*a^4 + 7*a^6 - 8*a^8 + 3*a^10 + 7*a^2*z^2 - 16*a^4*z^2 + 
   23*a^6*z^2 - 21*a^8*z^2 + 7*a^10*z^2 + 5*a^2*z^4 - 23*a^4*z^4 + 
   28*a^6*z^4 - 24*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 12*a^4*z^6 + 19*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 7384] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   22*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 29*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7385] -> 1 - a^2 + 3*a^4 - 2*a^6 - a^8 + 
   a^10 + 3*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 + 
   z^4 - 7*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 7386] -> 3*a^4 - 2*a^6 - z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 7387] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 2*z^2 - a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 + z^4 - 5*a^2*z^4 + a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 7388] -> 1 + a^4 - 2*a^6 + a^8 + z^2/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + a^10*z^2 - 2*z^4 - 2*a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 7389] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7390] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7391] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - 
   z^2/a^4 + a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 7392] -> 3 - a^(-2) - a^2 + 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7393] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   9*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 7394] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7395] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 7396] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 7397] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7398] -> -3 + a^(-4) + a^(-2) + a^2 + 
   a^4 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 
   6*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7399] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7400] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7401] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 
   8*a^4*z^2 + 19*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7402] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 
   24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7403] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   z^2/a^12 + (6*z^2)/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7404] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - 
   (10*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7405] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7406] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) + 
   z^2/a^14 - (9*z^2)/a^12 + (12*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (15*z^4)/a^10 - (4*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (5*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7407] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (10*z^2)/a^10 - (19*z^2)/a^8 + 
   (7*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - (24*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (14*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7408] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 18*a^2*z^2 - 
   18*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7409] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 5*a^4*z^2 + 18*a^6*z^2 - 2*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 22*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 7410] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 
   2*z^2 + 11*a^2*z^2 - 22*a^4*z^2 + 26*a^6*z^2 - 8*a^8*z^2 - 3*z^4 + 
   17*a^2*z^4 - 32*a^4*z^4 + 27*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7411] -> 2/a^16 - 5/a^14 - a^(-12) + 
   5/a^10 + (3*z^2)/a^16 - (18*z^2)/a^14 + (8*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (20*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7412] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 + 
   (2*z^2)/a^12 + (10*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (14*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7413] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (12*z^2)/a^6 + (7*z^4)/a^12 - (10*z^4)/a^10 - (10*z^4)/a^8 + 
   (13*z^4)/a^6 + (5*z^6)/a^12 - (12*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 7414] -> -a^(-8) + 2/a^4 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7415] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + (5*z^4)/a^8 - 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 7416] -> 
  1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 7417] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7418] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 7419] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   4*z^2 + 14*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7420] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 
   2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 
   13*a^2*z^4 - 19*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7421] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7422] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 19*z^2 - z^2/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 28*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 7423] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (14*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7424] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7425] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 9*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7426] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   13*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 
   21*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7427] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7428] -> 
  -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 7*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (25*z^2)/a^4 + (24*z^2)/a^2 - 9*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (31*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7429] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7430] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 15*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7431] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   4*a^2*z^2 + 6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 
   6*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 7432] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 - a^2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 7433] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7434] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7435] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^12 - z^2/a^10 - z^2/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7436] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7437] -> 2*a^2 - a^4 + 2*a^6 - 4*a^8 + 2*a^10 + 
   2*z^2 - a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 + z^4 - 
   5*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 7438] -> 1 + a^4 - a^6 - a^8 + a^10 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*z^4 - 2*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 7439] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   13*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7440] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7441] -> 2 - a^2 - a^4 + a^6 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7442] -> 
  6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 - 4*a^4*z^2 + 25*a^6*z^2 - 27*a^8*z^2 + 
   15*a^10*z^2 - 3*a^12*z^2 - 8*a^4*z^4 + 33*a^6*z^4 - 31*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 21*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 7443] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 - 
   2*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 8*a^4*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 7444] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7445] -> -1 + 5*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   18*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   20*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7446] -> 2*a^4 - a^8 - 2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7447] -> 
  a^(-6) - a^(-4) + a^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 7448] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 2*z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7449] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 7450] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (14*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (22*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7451] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + z^2/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7452] -> -a^(-10) + a^(-6) + a^(-4) - (3*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7453] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^6 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 - (2*z^4)/a^6 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7454] -> -2 - a^(-8) + 4/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 7455] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^10 - z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7456] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (7*z^4)/a^10 - (19*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7457] -> 3 - a^(-4) - a^4 + 6*z^2 - z^2/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 5*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7458] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + z^4/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7459] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (24*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7460] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   17*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7461] -> 3*a^6 - a^8 - a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 
   9*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7462] -> 
  a^2 + a^6 - a^8 + z^2 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7463] -> -5 - 4/a^4 + 9/a^2 + a^2 - 23*z^2 + z^2/a^6 - 
   (10*z^2)/a^4 + (28*z^2)/a^2 + 7*a^2*z^2 - 33*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (31*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 7464] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7465] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (14*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7466] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7467] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 - z^2/a^2 + 3*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7468] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7469] -> -a^(-6) + a^(-4) + a^(-2) - 
   2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7470] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (19*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (25*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 7471] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7472] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7473] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7474] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7475] -> a^4 + 4*a^6 - 6*a^8 + 2*a^10 + 2*a^2*z^2 - 
   7*a^4*z^2 + 20*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7476] -> 3*a^4 - a^6 - 2*a^8 + a^10 + z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7477] -> 
  2*a^4 - a^8 - 2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   5*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 7478] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 - 
   a^2*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7479] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + (6*z^2)/a^10 - 
   (9*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + 
   z^4/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7480] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (14*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7481] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 7482] -> -1 + a^(-4) + a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7483] -> a^(-6) - a^(-4) + a^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7484] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 13*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7485] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7486] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 12*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7487] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7488] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 3*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (15*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (15*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7489] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7490] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 12*a^2*z^2 - 20*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7491] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 5*a^2*z^2 - 14*a^4*z^2 + 21*a^6*z^2 - 
   10*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 22*a^4*z^4 + 25*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7492] -> -6 - a^(-6) - 5/a^4 + 13/a^2 - 15*z^2 - 
   (6*z^2)/a^6 - (2*z^2)/a^4 + (31*z^2)/a^2 - 14*z^4 - (9*z^4)/a^6 + 
   (10*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 7493] -> 6 - 3/a^6 + 5/a^4 - 4/a^2 - 
   3*a^2 + 12*z^2 - (6*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 
   11*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 5*z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7494] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 7495] -> 3/a^6 - 7/a^4 + 5/a^2 - 4*z^2 + (6*z^2)/a^6 - 
   (19*z^2)/a^4 + (15*z^2)/a^2 - 8*z^4 - (14*z^4)/a^4 + (20*z^4)/a^2 - 
   5*z^6 - (3*z^6)/a^6 + z^6/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 7496] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4/a^10 - z^4/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7497] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + z^6/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 7498] -> 
  2 + a^(-4) - 2/a^2 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 7499] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7500] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 7501] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   (3*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7502] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 5*z^2 - z^2/a^6 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 7503] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 - z^2 + 5*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 7504] -> 
  -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 + z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7505] -> 
  3 - 3*a^2 + a^6 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + z^4/a^6 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 7506] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 - a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 7507] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 3*z^2 - 6*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 + 3*z^4 - z^4/a^2 - 9*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 7508] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 + a^6*z^2 - 
   5*z^4 + z^4/a^4 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 7509] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7510] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 - z^2 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 7511] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 7512] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 7513] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^14 - 
   (6*z^2)/a^12 + (10*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (14*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 7514] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   z^2 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 7515] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7516] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 3*z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7517] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   19*a^2*z^2 - 22*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 
   32*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7518] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7519] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7520] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7521] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7522] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7523] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 7524] -> a^(-4) - 2*a^2 + 2*a^4 + z^2/a^6 - 
   (2*z^2)/a^4 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7525] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 - z^2/a^4 - a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7526] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 7527] -> 2 - 3*a^4 + 2*a^6 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7528] -> 
  -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   a^6*z^2 - 2*z^4 + (3*z^4)/a^4 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 7529] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   a^4*z^2 + 3*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 7530] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 2*z^4 - 4*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7531] -> 3*a^4 - a^6 - 2*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7532] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (9*z^4)/a^2 + (3*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 7533] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7534] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + z^2/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + (5*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 
   15*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 7535] -> 
  -3 + 2/a^2 + 2*a^2 - 16*z^2 + (4*z^2)/a^4 + z^2/a^2 + 9*a^2*z^2 - 25*z^4 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 + (5*z^6)/a^4 - 
   (12*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 7536] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + z^2/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (14*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7537] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 14*z^2 + z^2/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 17*z^4 + (3*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 
   4*a^4*z^4 - 10*z^6 + z^6/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 7538] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7539] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) + (3*z^2)/a^16 - (16*z^2)/a^14 + (7*z^2)/a^12 + (15*z^2)/a^10 + 
   (5*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (19*z^4)/a^12 + (24*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7540] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 + 
   (10*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7541] -> 
  -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 5*a^4*z^2 + 8*a^6*z^2 + 21*a^8*z^2 - 
   13*a^10*z^2 - 8*a^4*z^4 + 14*a^6*z^4 + 30*a^8*z^4 - 13*a^10*z^4 - 
   5*a^4*z^6 + 13*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 7542] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - a^2*z^2 - 
   2*a^4*z^2 + 12*a^6*z^2 + 7*a^8*z^2 - 6*a^10*z^2 - 2*a^2*z^4 + 14*a^6*z^4 + 
   8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7543] -> 
  a^(-14) - 6/a^12 + 5/a^10 + a^(-8) + (2*z^2)/a^16 - (7*z^2)/a^14 - 
   (8*z^2)/a^12 + (21*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 + 
   (3*z^4)/a^12 + (29*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 7544] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^16 - (3*z^2)/a^14 - (7*z^2)/a^12 + (11*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 7545] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7546] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 12*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7547] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 9*a^4*z^2 + 
   19*a^6*z^2 + 11*a^8*z^2 - 11*a^10*z^2 - 12*a^4*z^4 + 26*a^6*z^4 + 
   24*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 19*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 7548] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   2*a^2*z^2 - 3*a^4*z^2 + 19*a^6*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   20*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 7549] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + 
   15*a^2*z^2 - 22*a^4*z^2 + 21*a^6*z^2 - 6*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 
   32*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7550] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   18*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7551] -> 
  1 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7552] -> a^(-2) - a^2 + a^4 + z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7553] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - (2*z^2)/a^2 + 12*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 15*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 7554] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 
   4*a^2*z^2 + 4*a^4*z^2 + 11*a^6*z^2 + 3*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 
   5*a^4*z^4 + 17*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   10*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 7555] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - z^2 - 
   2*a^2*z^2 + 6*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - z^4 + 
   7*a^4*z^4 + 8*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 7556] -> 
  a^2 + a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7557] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   5*a^2*z^4 + a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 7558] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7559] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7560] -> -3 + 2/a^2 + 5*a^2 - 6*a^4 + 3*a^6 - 15*z^2 + 
   (5*z^2)/a^2 + 19*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   28*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7561] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 7*z^2 - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (30*z^4)/a^4 + (25*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (20*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7562] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7563] -> 
  2 + a^(-4) - a^(-2) - a^2 - 2*a^4 + 2*a^6 + 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7564] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7565] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 
   a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 7566] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 - a^8*z^2 + 
   5*z^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7567] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7568] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7569] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7570] -> 
  -a^(-12) + 2/a^6 + (7*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^12 + (5*z^4)/a^10 - (22*z^4)/a^8 + (6*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7571] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7572] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7573] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2 - z^2/a^10 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4 - z^4/a^10 + (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7574] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7575] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (6*z^2)/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (2*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7576] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 + 
   (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + (6*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7577] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 + (5*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 7578] -> a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + (6*z^4)/a^8 - (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 7579] -> -2/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7580] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7581] -> 
  -a^4 + 4*a^6 - 2*a^10 - a^2*z^2 + 10*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 7582] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7583] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 7584] -> 
  a^(-14) - 4/a^12 + 2/a^10 + 2/a^8 - a^(-6) + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (14*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (16*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 7585] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7586] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7587] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7588] -> 
  -2 + a^(-2) + 2*a^2 + 2*a^4 - 3*a^6 + a^8 - 7*z^2 + z^2/a^4 + z^2/a^2 + 
   3*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + z^4/a^4 + 5*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[14, Alternating, 7589] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7590] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7591] -> -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 6*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7592] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, Alternating, 7593] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 
   z^2 + a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 7594] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7595] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 - 
   3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 7596] -> 
  2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   9*a^10*z^2 - 5*a^12*z^2 + a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 
   7*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6, 
 Knot[14, Alternating, 7597] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 7598] -> 
  2 - 3*a^4 + 2*a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7599] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 3*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7600] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7601] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7602] -> a^2 + a^4 - a^6 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 7603] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7604] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 7605] -> 
  3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*z^6 + a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 7606] -> 3*a^6 - a^8 - a^10 - a^2*z^2 + 9*a^6*z^2 + 
   3*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7607] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 24*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 32*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7608] -> 2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 7609] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - 
   z^2/a^6 + (8*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 7610] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + 
   (19*z^2)/a^2 + a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (27*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7611] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 + 
   z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (9*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7612] -> 2 - 4*a^4 + 4*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7613] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + 2*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[14, Alternating, 7614] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - z^4 + (3*z^4)/a^4 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 7615] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 16*a^2*z^2 - 18*a^4*z^2 + 
   6*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7616] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 9*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 7617] -> 2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 + 3*a^2*z^2 - 
   6*a^4*z^2 + 14*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7618] -> 4*a^4 - 3*a^6 - a^8 + a^10 + 2*z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7619] -> 
  3 - 2*a^2 - 2*a^4 + 2*a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 7620] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) + z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (10*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7621] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + 
   z^2 + z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 7622] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7623] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7624] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 7625] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 
   12*z^2 - (5*z^2)/a^6 + (24*z^2)/a^2 - 13*z^4 - (8*z^4)/a^6 + (8*z^4)/a^4 + 
   (30*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 7626] -> -2 - a^(-8) + 4/a^2 - 5*z^2 - z^2/a^8 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (11*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7627] -> a^(-12) - 6/a^8 + 6/a^6 + (3*z^2)/a^12 - 
   (17*z^2)/a^8 + (17*z^2)/a^6 + (7*z^4)/a^12 - (6*z^4)/a^10 - (23*z^4)/a^8 + 
   (17*z^4)/a^6 + (5*z^6)/a^12 - (11*z^6)/a^10 - (18*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 7628] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7629] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 + (8*z^2)/a^10 - (12*z^2)/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - (15*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (9*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7630] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 + 
   z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7631] -> 4 - 3/a^6 + 5/a^4 - 3/a^2 - 2*a^2 + 10*z^2 - 
   (5*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - 
   (4*z^4)/a^6 + (10*z^4)/a^4 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7632] -> 2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 7633] -> 
  2/a^12 - 5/a^10 + 4/a^8 - 3/a^6 + 3/a^4 + (4*z^2)/a^12 - (10*z^2)/a^10 + 
   (8*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^12 - (9*z^4)/a^10 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7634] -> a^(-12) - 2/a^10 + a^(-8) - a^(-6) + a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7635] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   z^2/a^12 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7636] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + 
   z^2/a^12 - (3*z^2)/a^6 - z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 7637] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 6*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 14*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 7638] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - 
   a^8 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 7639] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 9*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7640] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 
   (2*z^4)/a^6 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 7641] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 
   7*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 7642] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 
   2*a^2 + 10*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 9*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7643] -> 2*a^2 - a^4 - 12*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7644] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 7645] -> -a^(-10) + a^(-8) + a^(-2) + 
   z^2/a^12 + z^2/a^10 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (5*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7646] -> 
  -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7647] -> -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 7648] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + 
   z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7649] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^6 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 7650] -> 2/a^16 - 5/a^14 + 3/a^10 + 
   a^(-8) + (3*z^2)/a^16 - (15*z^2)/a^14 + (2*z^2)/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (11*z^4)/a^12 + (31*z^4)/a^10 + 
   (6*z^4)/a^8 - (4*z^6)/a^14 + (11*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7651] -> 
  2*a^6 + a^8 - 2*a^10 - a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - 
   4*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7652] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - z^2/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (18*z^4)/a^6 - (2*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7653] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 8*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 7654] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (26*z^2)/a^4 + (29*z^2)/a^2 - 10*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (32*z^4)/a^4 + (36*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7655] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 4*z^2 + 15*a^2*z^2 - 24*a^4*z^2 + 
   26*a^6*z^2 - 8*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 33*a^4*z^4 + 27*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7656] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7657] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 7658] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - (2*z^2)/a^2 + 13*a^2*z^2 - 
   18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 7659] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^4 - 3*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   3*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 7660] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - 
   (23*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (17*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 7661] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7662] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 7663] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7664] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 7665] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 7666] -> 2 - a^(-2) + a^4 - a^6 + z^2 - z^2/a^6 + 
   z^2/a^4 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 7667] -> -2 + a^(-4) + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7668] -> -1 + a^(-4) + a^4 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7669] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^4 - a^6 + a^8 + 5*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 7670] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7671] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 7672] -> -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   27*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7673] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 5*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7674] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - 
   (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7675] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7676] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 7*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 7677] -> -4 + 3/a^2 + a^2 + a^4 - 
   8*z^2 + z^2/a^6 + z^2/a^4 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 7678] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 7679] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7680] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 + z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 7681] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - 3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 7682] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^4 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 7683] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 7684] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7685] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7686] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 8*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 7687] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   z^2 + a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 7688] -> -3 + 2/a^2 + 5*a^2 - 5*a^4 + a^6 + a^8 - 
   9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 
   8*z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 
   4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 7689] -> 2 + a^(-4) - a^(-2) - a^2 - a^4 + a^8 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 7690] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7691] -> a^(-2) - a^4 + a^6 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 7692] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 7693] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 7694] -> 3 - a^(-2) - 2*a^4 + a^6 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7695] -> 
  3*a^4 - 2*a^6 + z^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + 
   z^4 - 4*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7696] -> 
  2 - 2*a^4 + a^8 - 3*z^2 + z^2/a^2 + a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 7697] -> 
  1 - z^2/a^4 + z^2/a^2 + a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7698] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^12 - 
   z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7699] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + 
   z^2 + z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 7700] -> a^(-14) - 4/a^12 + 3/a^10 - 
   a^(-8) + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + (14*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (16*z^4)/a^10 - (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7701] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 3*z^2 - z^2/a^8 + (16*z^2)/a^6 - 
   (25*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + (8*z^4)/a^6 - 
   (29*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (15*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7702] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 
   14*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   17*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7703] -> -a^4 + 6*a^6 - 4*a^8 - 5*a^4*z^2 + 
   20*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 23*a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7704] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 2*z^2 + 14*a^2*z^2 - 28*a^4*z^2 + 
   24*a^6*z^2 - 6*a^8*z^2 - 3*z^4 + 18*a^2*z^4 - 36*a^4*z^4 + 24*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7705] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (3*z^2)/a^16 - (19*z^2)/a^14 + (11*z^2)/a^12 + (16*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (21*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7706] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 + 
   z^2/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (15*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7707] -> 
  -a^(-4) + 2/a^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 
   (8*z^4)/a^8 - (11*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - 
   (13*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 7708] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7709] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   24*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7710] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + (14*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7711] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7712] -> -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7713] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (2*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - (17*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7714] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7715] -> 
  -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^12 - (2*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7716] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^12 + z^2/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 7717] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - z^4 + z^4/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7718] -> 4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 - 2*a^4*z^2 + 
   21*a^6*z^2 - 24*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 - 7*a^4*z^4 + 
   30*a^6*z^4 - 32*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 
   20*a^6*z^6 - 17*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 7719] -> 4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 
   3*a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 7720] -> 
  2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 - a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 
   3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 7721] -> 
  2*a^4 - 2*a^6 + 2*a^8 - a^12 + a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   3*a^10*z^2 - z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 7722] -> 
  -6 + a^(-4) + a^(-2) + 7*a^2 - 2*a^4 - 18*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 7723] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7724] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7725] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7726] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7727] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 16*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 7728] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7729] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7730] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7731] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 7732] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 11*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 7733] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7734] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7735] -> 4*a^6 - 3*a^8 - 2*z^2 + 9*a^2*z^2 - 
   11*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7736] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7737] -> 5 + 2/a^6 - 3/a^4 - a^(-2) - 3*a^2 + a^4 + 
   7*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7738] -> a^(-8) - a^(-6) - a^(-4) + 2/a^2 - a^2 + 
   a^4 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 7739] -> 
  5 + 2/a^6 - 3/a^4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7740] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 7741] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 7742] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 7743] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 14*z^2 + 
   (2*z^2)/a^2 + 32*a^2*z^2 - 22*a^4*z^2 + 5*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7744] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 10*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7745] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 6*z^2 + 
   (4*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 - (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (6*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 7746] -> a^(-8) - 4/a^4 + 4/a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7747] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7748] -> 2 + a^(-8) - a^(-6) - a^(-2) + z^2 - 
   (2*z^2)/a^6 - z^2/a^2 - a^2*z^2 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 7749] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7750] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7751] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7752] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7753] -> 
  a^(-6) - 4/a^4 + 5/a^2 - 2*a^2 + a^4 + z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 7754] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 
   3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 7755] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 
   z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7756] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7757] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7758] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - z^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 
   2*z^6 + z^6/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 7759] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 25*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 
   28*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 7760] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 7761] -> 
  -a^4 + 6*a^6 - 4*a^8 - 6*a^4*z^2 + 21*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 25*a^6*z^4 - 2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 7762] -> a^4 + a^6 - a^10 - 2*a^2*z^2 + 
   4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - a^10*z^2 - z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 7763] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 
   3*a^4 - 7*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 
   10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 7764] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + z^2 - z^2/a^2 + 6*a^2*z^2 - 13*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 7765] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - z^2/a^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 7766] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 7767] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + 
   a^10 - z^2 - a^2*z^2 + 5*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 - z^4 + 
   5*a^4*z^4 + 9*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 7768] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 2*a^2*z^2 + a^4*z^2 + 15*a^6*z^2 - 
   8*a^8*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 7769] -> -7 - a^(-4) + 3/a^2 + 11*a^2 - 5*a^4 - 
   25*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 - 32*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7770] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7771] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 - z^2 + 
   5*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   20*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7772] -> 1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7773] -> 
  4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 - 5*z^2 + 21*a^2*z^2 - 31*a^4*z^2 + 
   22*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 31*a^2*z^4 - 36*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7774] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 7775] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 
   4*z^2 + 15*a^2*z^2 - 21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   22*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7776] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 + 4*z^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7777] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 7778] -> 
  -5 + 3/a^2 + 3*a^2 - 21*z^2 + (4*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   29*z^4 + (8*z^4)/a^4 - (7*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 + (5*z^6)/a^4 - 
   (12*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 7779] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - (14*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 7780] -> 
  -7 - a^(-4) + 6/a^2 + 2*a^2 + a^4 - 17*z^2 + z^2/a^4 + (8*z^2)/a^2 + 
   4*a^4*z^2 - 18*z^4 + (3*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   10*z^6 + z^6/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 7781] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 
   7*z^2 + z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 7782] -> 
  a^(-14) - 4/a^12 + 2/a^10 + 2/a^8 - a^(-6) + a^(-4) - (5*z^2)/a^12 + 
   (9*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (7*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7783] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 7784] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7785] -> 
  -a^(-8) + 2/a^4 + z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7786] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   20*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7787] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 7788] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 7789] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 2*z^2 - z^2/a^2 + 14*a^2*z^2 - 
   18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 7790] -> 
  4 + a^(-6) - 2/a^4 - 3*a^2 + a^4 + 8*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   6*a^2*z^2 + a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 7791] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 
   3*a^8 - 2*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 
   13*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7792] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 
   4*a^4 - 18*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 
   23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 7793] -> 
  4*a^2 - 6*a^4 + 2*a^6 + 3*a^8 - 2*a^10 - 2*z^2 + 9*a^2*z^2 - 8*a^4*z^2 - 
   4*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 3*z^4 + 7*a^2*z^4 - 3*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 7794] -> 
  2 - 2*a^2 + a^6 + a^8 - a^10 + 3*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   3*a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 7795] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7796] -> 
  2*a^4 - a^8 + a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7797] -> -1 + 4*a^2 - 2*a^4 - 12*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (5*z^4)/a^4 + 
   (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7798] -> 2 - a^2 - a^4 + a^6 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 7799] -> 
  -3/a^6 + 5/a^4 - a^(-2) - z^2/a^10 - z^2/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7800] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7801] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2 - 
   z^2/a^10 + (6*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^10 + 
   (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 7802] -> a^(-14) - 4/a^12 + 3/a^10 + 
   a^(-4) - (4*z^2)/a^12 + (7*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7803] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 - (11*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[14, Alternating, 7804] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - (2*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7805] -> a^4 + a^6 - a^10 - a^2*z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 - a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 7806] -> 
  2 - a^2 - 4*a^4 + 7*a^6 - 3*a^8 + 5*z^2 - z^2/a^2 - 4*a^2*z^2 - 9*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 - 9*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7807] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (11*z^2)/a^14 + 
   (7*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (9*z^4)/a^12 + (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7808] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (4*z^2)/a^14 + z^2/a^12 + 
   (6*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 7809] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7810] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 7811] -> -a^(-10) + 4/a^8 - 5/a^6 + 
   a^(-4) + 2/a^2 + z^2/a^10 + (7*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^2 + 
   (3*z^4)/a^10 + z^4/a^8 - (17*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 7812] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (7*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 7813] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 7814] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 15*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 6*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 7815] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7816] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - z^4 - (5*z^4)/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7817] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7818] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 7819] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7820] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 
   7*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 7821] -> -4 + a^(-4) + a^(-2) + 2*a^2 + 2*a^4 - a^6 - 
   9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   6*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 7822] -> 1 - a^2 + 2*a^4 - a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7823] -> 
  2*a^4 - a^8 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7824] -> 
  -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 4*z^2 - (2*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 7825] -> -1 - a^(-8) + a^(-4) + 2/a^2 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7826] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 3*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7827] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   4*z^2 + 13*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 
   15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 7828] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 7829] -> -3/a^8 + 7/a^6 - 6/a^4 + 
   3/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (16*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7830] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (4*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7831] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7832] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 7833] -> -4 - 2/a^4 + 6/a^2 + a^4 - 
   4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7834] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (7*z^2)/a^10 - (10*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7835] -> 
  -6 - a^(-6) - 5/a^4 + 13/a^2 - 15*z^2 - (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (31*z^2)/a^2 - 14*z^4 - (9*z^4)/a^6 + (10*z^4)/a^4 + (34*z^4)/a^2 - 
   6*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (21*z^6)/a^2 - z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 7836] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 7837] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7838] -> -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7839] -> -3/a^4 + 5/a^2 - a^2 - 5*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7840] -> -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^8 - (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 7841] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7842] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7843] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7844] -> 
  2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (6*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7845] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7846] -> 
  -2/a^6 + 3/a^4 + 2*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7847] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   (3*z^2)/a^16 - (16*z^2)/a^14 + (3*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (14*z^4)/a^12 + (30*z^4)/a^10 + 
   (6*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7848] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (19*z^2)/a^6 - (19*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (24*z^4)/a^4 - z^4/a^2 + z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 - 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7849] -> 
  2/a^10 - 7/a^8 + 6/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - (20*z^2)/a^8 + 
   (19*z^2)/a^6 - (2*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (24*z^4)/a^8 + 
   (24*z^4)/a^6 - (5*z^4)/a^4 + (3*z^6)/a^10 - (14*z^6)/a^8 + (16*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 7850] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7851] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7852] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 7853] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 7854] -> 2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 + a^2*z^2 - 
   2*a^4*z^2 + 12*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 7855] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7856] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   20*z^4 + (5*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 7857] -> -1 + a^(-4) + a^4 + z^2/a^6 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7858] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7859] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - 
   (3*z^2)/a^14 - (10*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (4*z^4)/a^14 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7860] -> 
  3 - a^(-4) - a^4 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 7861] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 7862] -> 
  -a^(-8) + 2/a^4 - 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 7863] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (5*z^4)/a^14 + (7*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 7864] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^12 + 
   (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - z^4/a^8 + 
   (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 7865] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 - 3*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 
   5*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 18*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 7866] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 10*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 7867] -> 
  -1 + a^(-4) + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7868] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + 10*a^6*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 
   11*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 7869] -> 1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 7870] -> a^2 + a^6 - a^8 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7871] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 7872] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 7873] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7874] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 7875] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) + (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7876] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7877] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7878] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (5*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + 
   (4*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7879] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - z^4/a^10 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 7880] -> 2 - a^(-6) + a^(-4) - a^2 + 
   4*z^2 - z^2/a^6 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 7881] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7882] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - (2*z^2)/a^6 - z^2/a^4 + (12*z^2)/a^2 - 
   9*z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 7883] -> 
  -1 - a^(-6) + 3/a^2 - z^2 - z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 7884] -> 
  -a^(-8) + 2/a^4 + z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 7885] -> -2/a^10 + 2/a^8 + a^(-4) - 
   z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7886] -> -a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + (6*z^4)/a^8 - (9*z^4)/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 7887] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + 
   a^(-4) + 2*z^2 + z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7888] -> 2*a^2 - a^4 - z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 7889] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 
   2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 
   14*a^2*z^4 - 24*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7890] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   4*z^2 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 7891] -> 1 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7892] -> 
  -3 + 11*a^2 - 10*a^4 + 3*a^6 - 11*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 
   22*a^4*z^2 + 6*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7893] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^2)/a^4 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7894] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^4)/a^10 + (2*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 7895] -> a^(-10) - 5/a^8 + 5/a^6 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7896] -> -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + z^2/a^2 + 
   23*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 29*a^2*z^4 - 
   17*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7897] -> -2 + a^(-4) + 2*a^2 - 2*z^2 - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 7898] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7899] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 - 
   (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7900] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 
   2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 7901] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^10 - z^2/a^8 + z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7902] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + z^2 + z^2/a^12 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 7903] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7904] -> -3 - a^(-6) + 4/a^2 + a^2 - 6*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 7905] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 7906] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7907] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (16*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7908] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7909] -> -5 - 4/a^4 + 9/a^2 + a^2 - 19*z^2 - 
   (6*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + (15*z^4)/a^2 + 
   9*a^2*z^4 - 16*z^6 + (3*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 7910] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 6*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 + 
   3*a^2*z^2 - 5*z^4 + z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 7911] -> 2/a^16 - 4/a^14 - a^(-12) + 
   2/a^10 + 2/a^8 + (3*z^2)/a^16 - (14*z^2)/a^14 + (2*z^2)/a^12 + 
   (13*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (13*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 7912] -> a^(-16) - 2/a^14 - a^(-12) + a^(-10) + 
   a^(-8) + a^(-6) + z^2/a^16 - (7*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + (6*z^4)/a^12 + (9*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 7913] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 + (7*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7914] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 7*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 7915] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^16 - (5*z^2)/a^14 - (7*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + z^4/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 7916] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7917] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 15*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 7918] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + 
   a^4 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7919] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 7920] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - z^2/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 7921] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7922] -> a^(-6) - a^(-4) + a^2 - 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7923] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + (2*z^2)/a^16 - (7*z^2)/a^14 - 
   (7*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + 
   (8*z^4)/a^12 + (23*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + 
   (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 7924] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) + z^2/a^16 - (5*z^2)/a^14 + z^2/a^12 + 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 7925] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^12 + (2*z^2)/a^10 + 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7926] -> -3 - 3/a^6 + 2/a^4 + 5/a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 7927] -> -1 - a^(-8) - a^(-6) + 3/a^4 + 
   a^(-2) - 3*z^2 - z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - 
   (2*z^4)/a^8 + (9*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7928] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - 
   (6*z^2)/a^8 + (11*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 7929] -> 3 - 3/a^2 + 5*a^2 - 4*a^4 + 
   7*z^2 - (8*z^2)/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 13*z^4 - (9*z^4)/a^2 + 
   29*a^2*z^4 - 13*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 
   6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 7930] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 11*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 15*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 7931] -> 2 - 2/a^4 + 2/a^2 - a^4 + 5*z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 7932] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 4*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7933] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7934] -> 
  2 - a^(-8) + a^(-6) - a^2 + 5*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7935] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (20*z^2)/a^2 - 10*z^4 - (5*z^4)/a^6 + (2*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 7936] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + (8*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 7937] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 23*z^2 - z^2/a^4 + (9*z^2)/a^2 + 22*a^2*z^2 - 
   6*a^4*z^2 - 29*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 7938] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7939] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7940] -> 
  2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 7941] -> 
  a^(-10) - 3/a^8 + 3/a^6 - a^(-2) + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 7942] -> -a^(-4) + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7943] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 7*z^2 + 
   (4*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 - 9*z^4 - (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (6*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 7944] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - 
   a^2 + 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7945] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^10 + (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 7946] -> a^(-10) - 2/a^8 + a^(-4) + 
   a^(-2) - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (2*z^4)/a^10 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 7947] -> -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 
   34*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 36*z^4 - 
   (9*z^4)/a^4 + (32*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 17*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7948] -> a^(-12) - 2/a^10 + a^(-6) + a^(-2) - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7949] -> -2 + a^(-2) + 5*a^2 - 4*a^4 + a^8 - 7*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 7950] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7951] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 7952] -> 
  a^2 + a^4 - a^6 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 7953] -> 
  2/a^12 - 4/a^10 + a^(-8) + 2/a^4 + (3*z^2)/a^12 - (6*z^2)/a^10 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7954] -> a^(-12) - a^(-10) - 2/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^12 - (5*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7955] -> 
  2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 7956] -> 2/a^10 - 4/a^8 + a^(-6) + a^(-4) + a^(-2) + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 7957] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 
   8*z^4 - (4*z^4)/a^6 - z^4/a^4 + (16*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + 
   (7*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 7958] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 7959] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 + (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 7960] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 7961] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7962] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (24*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - 
   (30*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 7963] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 9*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 7964] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 7965] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 
   z^2/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + (4*z^4)/a^10 - (13*z^4)/a^8 + (12*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7966] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 13*z^2 + z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7967] -> -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 7968] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 3*z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 + 4*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 7969] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 7970] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 16*a^6*z^2 - 19*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 - 4*a^4*z^4 + 21*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - 
   a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 7971] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (12*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (7*z^4)/a^10 - 
   (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 7972] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 7973] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 8*z^2 + 
   24*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 34*a^2*z^4 - 
   29*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 7974] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   4*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 + 
   6*a^2*z^4 - 21*a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 7975] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 
   5*z^2 - (7*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 7976] -> a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 7977] -> 
  3 - a^(-4) - a^4 + 7*z^2 - (2*z^2)/a^4 + 2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 7978] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 7979] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7980] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7981] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (5*z^4)/a^8 - (7*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 7982] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - 
   (2*z^2)/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 7983] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 7984] -> -7 + 2/a^2 + 13*a^2 - 10*a^4 + 3*a^6 - 
   19*z^2 + (5*z^2)/a^2 + 29*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 29*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 7985] -> 5 + a^(-4) - 3/a^2 - 2*a^2 - 
   a^4 + a^6 + 8*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 7986] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   5*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 7987] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   5*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 7988] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 7*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 7989] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   z^2 - a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 7990] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7991] -> -1 - a^(-6) + 3/a^2 - 5*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 7992] -> -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 7993] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7994] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 5*z^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 24*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 7995] -> 
  2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 - 2*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 - 
   11*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - 
   10*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 7996] -> 
  a^2 + a^4 - 2*a^6 + a^8 + a^10 - a^12 - z^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 7997] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - (5*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 7998] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^10 + (2*z^4)/a^4 + z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 7999] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[14, Alternating, 8000] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 8001] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 8002] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^10 - 
   (7*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8003] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) - z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^2 - z^4 - z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8004] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 8005] -> 1 - z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*z^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8006] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8007] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 + 
   z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8008] -> 1 - a^(-10) + 2/a^8 - a^(-6) + z^2 + 
   z^2/a^12 + z^2/a^8 - (2*z^2)/a^6 - z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 8009] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8010] -> -1 - a^(-6) + 3/a^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8011] -> a^4 + 2*a^8 - 2*a^10 - z^2 - a^2*z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 8012] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - 
   a^6 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 8013] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (18*z^2)/a^8 + (19*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (24*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8014] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 8015] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^6 + z^6/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 8016] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8017] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8018] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 4*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8019] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 8020] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8021] -> 1 + z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8022] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 8023] -> 1 + 2*a^2 - 3*a^4 + a^8 - 5*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 8024] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 
   5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8025] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 6*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8026] -> 2 + a^(-4) - 2/a^2 - z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 8027] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 
   5*z^4 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 8028] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 8*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8029] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + 
   (3*z^4)/a^8 - z^4/a^6 - (14*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8030] -> -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - 
   z^2 + z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*z^4 + 
   z^4/a^8 - (9*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 8031] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8032] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 4*z^2 - z^2/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8033] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - z^4/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8034] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (20*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - z^4/a^10 - 
   (9*z^4)/a^8 + (23*z^4)/a^6 - (3*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8035] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - z^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8036] -> 
  a^(-16) - 3/a^14 + 2/a^10 + a^(-6) + z^2/a^16 - (7*z^2)/a^14 + z^2/a^12 + 
   (10*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (13*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8037] -> 
  a^(-14) - 5/a^12 + 4/a^10 + a^(-6) + z^2/a^16 - (3*z^2)/a^14 - 
   (7*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + 
   (14*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8038] -> 
  -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 8039] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8040] -> 
  -3 - 4/a^4 + 8/a^2 - 9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + 
   (27*z^2)/a^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + 
   (35*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8041] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 10*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8042] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 8043] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8044] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^10 - 
   z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 8045] -> -a^(-4) + 2/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8046] -> 
  1 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8047] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + z^2 - 
   z^2/a^4 + 5*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6, Knot[14, Alternating, 8048] -> 2*a^4 - a^8 + z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 8049] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 8050] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 8051] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8052] -> 5 - a^(-8) + 3/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 
   9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8053] -> 2*a^2 - a^4 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 8054] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 - 
   7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 8055] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + z^4/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8056] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 + 
   z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 8057] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^6 + (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 8058] -> 
  1 - z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8059] -> 1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8060] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^6 - 
   a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 8061] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 8062] -> -2 + 2/a^2 + a^4 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8063] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 8064] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8065] -> a^2 + a^4 - a^6 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8066] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 - a^2*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8067] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 5*a^4*z^2 + 3*a^6*z^2 - 10*a^8*z^2 + 
   11*a^10*z^2 - 3*a^12*z^2 + a^4*z^4 + 6*a^6*z^4 - 19*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 3*a^4*z^6 + 8*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 
   a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 8068] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + 
   2*a^4*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^6*z^4 - 5*a^8*z^4 + 
   3*a^10*z^4 - a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8069] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   14*a^6*z^2 - 17*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 
   21*a^6*z^4 - 25*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 8070] -> 4*a^6 - 3*a^8 + 3*a^2*z^2 - 
   7*a^4*z^2 + 17*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8071] -> a^4 + 2*a^6 - 2*a^8 + z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8072] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8073] -> a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 + (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 
   (5*z^4)/a^10 - z^4/a^8 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8074] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 
   6*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8075] -> -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8076] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8077] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 + a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8078] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8079] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + z^2/a^16 - (11*z^2)/a^14 + 
   (8*z^2)/a^12 + (6*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (9*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8080] -> 
  a^(-16) - 3/a^14 + 2/a^10 + a^(-6) - (4*z^2)/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + 
   (6*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 8081] -> -1 + a^(-2) + 2*a^4 - a^6 - 9*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 6*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 8082] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (4*z^2)/a^10 + 
   (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8083] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^12 + 
   z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8084] -> 
  a^2 + a^6 - a^8 + z^2 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8085] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) - 
   z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4 - (5*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8086] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8087] -> 2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 
   6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8088] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 8089] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 8090] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8091] -> 1 + z^2 + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 8092] -> 2*a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 8093] -> 
  1 - z^2 - z^2/a^6 + z^2/a^4 + 2*a^2*z^2 - a^6*z^2 - 2*z^4 + (3*z^4)/a^4 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 8094] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 3*a^4*z^2 + 
   5*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   7*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 8095] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 8096] -> 
  a^2 + a^6 - a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8097] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 - a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8098] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^2 - (10*z^4)/a^8 + (18*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8099] -> 
  2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8100] -> -a^(-10) + a^(-8) + a^(-2) + z^2/a^10 + 
   z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8101] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (19*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 - (9*z^4)/a^8 + 
   (23*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8102] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (23*z^4)/a^6 - (24*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 8103] -> 
  -4 - 5/a^4 + 10/a^2 - 11*z^2 - z^2/a^8 + (6*z^2)/a^6 - (20*z^2)/a^4 + 
   (31*z^2)/a^2 - 11*z^4 - z^4/a^8 + (8*z^4)/a^6 - (26*z^4)/a^4 + 
   (38*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8104] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (18*z^2)/a^6 - (2*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (23*z^4)/a^8 + 
   (24*z^4)/a^6 - (5*z^4)/a^4 + (3*z^6)/a^10 - (14*z^6)/a^8 + (16*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 8105] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 + z^2/a^6 - 
   z^2/a^2 + a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8106] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8107] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8108] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 - 4*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8109] -> -4 - 3/a^4 + 7/a^2 + a^2 - 5*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8110] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 8111] -> 1 + 2*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8112] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8113] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 14*a^6*z^2 - 18*a^8*z^2 + 
   12*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 21*a^6*z^4 - 25*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 8114] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 - 
   a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8115] -> a^2 + a^6 - a^8 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8116] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8117] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + z^2 + 
   z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 8118] -> 1 + 2/a^4 - 3/a^2 + a^2 + 
   z^2/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8119] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   2*z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 8120] -> a^2 + a^4 - a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 19*z^4 + (6*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8121] -> 2/a^16 - 5/a^14 + 3/a^12 - 3/a^10 + 4/a^8 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 + (8*z^2)/a^12 + z^2/a^10 + (12*z^2)/a^8 + 
   z^4/a^16 - (12*z^4)/a^14 + (13*z^4)/a^12 + (11*z^4)/a^10 + (13*z^4)/a^8 - 
   (3*z^6)/a^14 + (9*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8122] -> 
  a^(-16) - 2/a^14 - a^(-12) + 2/a^10 - a^(-8) + 2/a^6 + z^2/a^16 - 
   (6*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^14 + (4*z^4)/a^12 + (8*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8123] -> -3 + 2/a^2 + 2*a^2 - 17*z^2 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^2 + 18*a^2*z^4 - 7*a^4*z^4 - 
   (3*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - z^8/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 8124] -> 
  -5 + 3/a^2 + 3*a^2 - 8*z^2 + z^2/a^4 + 6*a^2*z^2 - 2*a^4*z^2 - z^4/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8125] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8126] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   14*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8127] -> 1 - 2*z^2 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8128] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 2*z^2 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 8129] -> 3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + 
   a^4*z^2 + 14*a^6*z^2 - 18*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 - 3*a^4*z^4 + 
   19*a^6*z^4 - 27*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   14*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 8130] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8131] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (13*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (9*z^4)/a^10 - 
   (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8132] -> -3 - a^(-4) + 4/a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8133] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 7*z^2 + 22*a^2*z^2 - 22*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 32*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8134] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8135] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + 
   a^10 + 4*a^2*z^2 - 11*a^4*z^2 + 21*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 20*a^4*z^4 + 26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 8136] -> a^2 - a^4 + 4*a^6 - 4*a^8 + 
   a^10 + z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8137] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + (2*z^2)/a^4 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 8138] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 6*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 8139] -> a^(-16) - 8/a^12 + 8/a^10 + (6*z^2)/a^16 - 
   (20*z^2)/a^14 - (2*z^2)/a^12 + (28*z^2)/a^10 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (27*z^4)/a^12 + (38*z^4)/a^10 + z^6/a^16 - (18*z^6)/a^14 + 
   (33*z^6)/a^12 + (25*z^6)/a^10 - (3*z^8)/a^14 + (14*z^8)/a^12 + 
   (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 8140] -> 
  a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 4/a^8 + (3*z^2)/a^16 - (13*z^2)/a^14 + 
   (8*z^2)/a^12 + z^2/a^10 + (12*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + 
   (13*z^4)/a^12 + (11*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^14 + 
   (9*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 8141] -> 2/a^16 - 6/a^14 + 5/a^12 - 
   4/a^10 + 4/a^8 + (3*z^2)/a^16 - (15*z^2)/a^14 + (11*z^2)/a^12 + 
   (12*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + (14*z^4)/a^12 + (11*z^4)/a^10 + 
   (13*z^4)/a^8 - (3*z^6)/a^14 + (9*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8142] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-10) - a^(-8) + 2/a^6 + z^2/a^16 - 
   (6*z^2)/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^14 + (4*z^4)/a^12 + (8*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8143] -> -3 - a^(-4) + 3/a^2 + a^2 + 3*a^4 - 2*a^6 - 
   15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 8144] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 
   6*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 8145] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8146] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8147] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8148] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - 4*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 8149] -> 1 + 3*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8150] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8151] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8152] -> 
  3*a^4 - 2*a^6 + z^2 - 2*a^2*z^2 + 5*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   4*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8153] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 4*a^4*z^2 + 6*a^6*z^2 - 12*a^8*z^2 + 
   13*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 21*a^8*z^4 + 12*a^10*z^4 - 
   a^12*z^4 - 3*a^4*z^6 + 9*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 8154] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 4*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8155] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 2*a^4*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 
   13*a^10*z^2 - 3*a^12*z^2 - 3*a^4*z^4 + 17*a^6*z^4 - 24*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 8156] -> a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8157] -> 
  4*a^6 - 3*a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 20*a^6*z^2 - 10*a^8*z^2 + 
   2*a^10*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 
   4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 8158] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8159] -> -4 - 3/a^4 + 7/a^2 + a^2 - 16*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 15*z^6 + (3*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 8160] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 8161] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 + z^2/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 
   26*z^4 + (7*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 + (5*z^6)/a^4 - 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 8162] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 + (6*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 8163] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   z^2 + 12*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + 6*z^4 - 23*a^4*z^4 + 
   11*a^6*z^4 + 5*z^6 - 10*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + z^8 - 
   6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 8164] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   9*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8165] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   (7*z^2)/a^16 - (35*z^2)/a^14 + (28*z^2)/a^12 + (16*z^2)/a^10 + 
   (5*z^4)/a^16 - (44*z^4)/a^14 + (57*z^4)/a^12 + (29*z^4)/a^10 + z^6/a^16 - 
   (20*z^6)/a^14 + (46*z^6)/a^12 + (23*z^6)/a^10 - (3*z^8)/a^14 + 
   (16*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 8166] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 + z^2/a^12 + (22*z^2)/a^10 + (3*z^2)/a^8 + 
   z^4/a^16 - (13*z^4)/a^14 + (10*z^4)/a^12 + (31*z^4)/a^10 + (7*z^4)/a^8 - 
   (3*z^6)/a^14 + (9*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8167] -> 
  2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + a^(-8) + (3*z^2)/a^16 - 
   (17*z^2)/a^14 + (9*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - 
   (13*z^4)/a^14 + (13*z^4)/a^12 + (27*z^4)/a^10 + (8*z^4)/a^8 - 
   (3*z^6)/a^14 + (9*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8168] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) + z^2/a^16 - (6*z^2)/a^14 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (14*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8169] -> 
  -3*a^6 + 11*a^8 - 7*a^10 - 22*a^6*z^2 + 67*a^8*z^2 - 32*a^10*z^2 - 
   40*a^6*z^4 + 123*a^8*z^4 - 46*a^10*z^4 - 29*a^6*z^6 + 106*a^8*z^6 - 
   30*a^10*z^6 - 9*a^6*z^8 + 48*a^8*z^8 - 9*a^10*z^8 - a^6*z^10 + 
   11*a^8*z^10 - a^10*z^10 + a^8*z^12, Knot[14, Alternating, 8170] -> 
  -a^4 + a^6 + 6*a^8 - 5*a^10 - 7*a^4*z^2 + 8*a^6*z^2 + 28*a^8*z^2 - 
   17*a^10*z^2 - 11*a^4*z^4 + 18*a^6*z^4 + 39*a^8*z^4 - 17*a^10*z^4 - 
   6*a^4*z^6 + 17*a^6*z^6 + 25*a^8*z^6 - 7*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   8*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 8171] -> -2*a^6 + 9*a^8 - 6*a^10 - 6*a^4*z^2 + 
   5*a^6*z^2 + 30*a^8*z^2 - 17*a^10*z^2 - 11*a^4*z^4 + 17*a^6*z^4 + 
   39*a^8*z^4 - 17*a^10*z^4 - 6*a^4*z^6 + 17*a^6*z^6 + 25*a^8*z^6 - 
   7*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 8172] -> -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 
   2*a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 + 10*a^8*z^2 - 8*a^10*z^2 - 3*a^2*z^4 + 
   a^4*z^4 + 18*a^6*z^4 + 10*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   10*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8173] -> -a^6 + 7*a^8 - 5*a^10 - 6*a^4*z^2 + 
   9*a^6*z^2 + 21*a^8*z^2 - 13*a^10*z^2 - 11*a^4*z^4 + 21*a^6*z^4 + 
   27*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 18*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 8174] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 
   2*a^2*z^2 - a^4*z^2 + 13*a^6*z^2 + 6*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 16*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8175] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 + 
   (3*z^2)/a^14 - (17*z^2)/a^12 + (25*z^2)/a^10 - (13*z^2)/a^8 + 
   (10*z^2)/a^6 + z^4/a^14 - (14*z^4)/a^12 + (35*z^4)/a^10 - (22*z^4)/a^8 + 
   (12*z^4)/a^6 - (3*z^6)/a^12 + (18*z^6)/a^10 - (18*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, Alternating, 8176] -> a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) + z^2/a^14 - (7*z^2)/a^12 + (9*z^2)/a^10 + z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^4)/a^12 + (9*z^4)/a^10 - (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8177] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8178] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 17*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 36*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 22*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8179] -> 
  -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 13*a^4*z^2 + 28*a^6*z^2 + 6*a^8*z^2 - 
   10*a^10*z^2 - 16*a^4*z^4 + 39*a^6*z^4 + 17*a^8*z^4 - 12*a^10*z^4 - 
   7*a^4*z^6 + 25*a^6*z^6 + 17*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 8180] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 4*a^2*z^2 + 
   a^4*z^2 + 17*a^6*z^2 + a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   19*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8181] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 4*a^2*z^2 + 
   a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   20*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8182] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8183] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 8184] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 - 4*z^2 + z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 8185] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 9*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 8186] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   6*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 + z^4/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8187] -> -a^2 + 2*a^4 + 3*a^8 - 3*a^10 - 6*a^2*z^2 + 
   10*a^4*z^2 + 3*a^6*z^2 + 10*a^8*z^2 - 7*a^10*z^2 - 5*a^2*z^4 + 
   12*a^4*z^4 + 7*a^6*z^4 + 12*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   5*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8188] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   6*a^4*z^4 + 6*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8189] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 - 
   2*a^10*z^2 - z^4 + 2*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 8190] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8191] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 8192] -> 
  3 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 - 2/a^2 + 4*z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (17*z^4)/a^6 - (5*z^4)/a^4 - (8*z^4)/a^2 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8193] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 - 
   a^(-2) + a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8194] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 7*a^2*z^2 - 16*a^4*z^2 + 
   22*a^6*z^2 - 17*a^8*z^2 + 6*a^10*z^2 + 5*a^2*z^4 - 23*a^4*z^4 + 
   28*a^6*z^4 - 23*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 12*a^4*z^6 + 19*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 8195] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + 
   14*a^2*z^2 - 21*a^4*z^2 + 22*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   30*a^4*z^4 + 25*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8196] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 20*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   29*a^2*z^4 - 25*a^4*z^4 + 5*a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8197] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 30*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 25*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8198] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8199] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   3*z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 + z^4 - 
   7*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8200] -> 1 - a^2 + 3*a^6 - 2*a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8201] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + 
   3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 
   4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8202] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 8203] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 8204] -> a^4 - a^8 + 4*a^10 - 3*a^12 + 3*a^4*z^2 + 
   8*a^6*z^2 - 13*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 - 2*a^4*z^4 + 
   15*a^6*z^4 - 25*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   13*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 8205] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   19*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8206] -> a^4 + 2*a^10 - 2*a^12 + a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8207] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8208] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8209] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   13*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8210] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8211] -> 4*a^6 - 3*a^8 + a^2*z^2 - 3*a^4*z^2 + 
   15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   20*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8212] -> -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 8213] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 - z^2/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 + 4*z^4 + z^4/a^2 - 10*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8214] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - (2*z^4)/a^6 - 
   (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 8215] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 8216] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   (3*z^2)/a^16 - (19*z^2)/a^14 + (12*z^2)/a^12 + (16*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (21*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8217] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + 
   (14*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + (6*z^4)/a^12 + 
   (15*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8218] -> 
  -3/a^8 + 4/a^6 + (4*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8219] -> 
  -a^6 + 7*a^8 - 5*a^10 - 4*a^4*z^2 + 5*a^6*z^2 + 23*a^8*z^2 - 13*a^10*z^2 - 
   8*a^4*z^4 + 13*a^6*z^4 + 30*a^8*z^4 - 13*a^10*z^4 - 5*a^4*z^6 + 
   13*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 8220] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 2*a^2*z^2 + a^4*z^2 + 9*a^6*z^2 + 
   8*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 + 8*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8221] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 6*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (24*z^2)/a^4 + (20*z^2)/a^2 - 9*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (31*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8222] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 25*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 35*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8223] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 + z^2/a^14 - (9*z^2)/a^12 + (15*z^2)/a^10 - (7*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (16*z^4)/a^10 - (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8224] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + (4*z^2)/a^10 - (17*z^2)/a^8 + 
   (27*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (34*z^4)/a^6 - (21*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 8225] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8226] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 2*a^2*z^2 - 
   5*a^4*z^2 + 25*a^6*z^2 - 6*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   29*a^6*z^4 - 2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8227] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + (15*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8228] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 8229] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 8230] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 8231] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8232] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*z^4 - 2*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8233] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 8234] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 8235] -> -1 + a^(-2) + a^2 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 8236] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 
   7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 8237] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 
   3/a^4 + 3*z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8238] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8239] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8240] -> 2 + a^(-8) - a^(-6) - a^(-2) + 
   3*z^2 + (2*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8241] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*z^4 - 2*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 8242] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8243] -> -1 + 4*a^2 - 2*a^4 - 12*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8244] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 2*a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8245] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + z^6/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, Alternating, 8246] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 3*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 8247] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - (2*z^2)/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (7*z^4)/a^10 - (13*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8248] -> 
  -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + 
   (9*z^2)/a^6 + (7*z^4)/a^12 - (10*z^4)/a^10 - (5*z^4)/a^8 + (12*z^4)/a^6 + 
   (5*z^6)/a^12 - (12*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 8249] -> -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8250] -> 
  -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^8 - (16*z^4)/a^4 + (8*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 8251] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - (2*z^2)/a^4 + z^2/a^2 + 2*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8252] -> 5*a^8 - 4*a^10 - 2*a^4*z^2 + 2*a^6*z^2 + 
   22*a^8*z^2 - 12*a^10*z^2 - 7*a^4*z^4 + 9*a^6*z^4 + 30*a^8*z^4 - 
   13*a^10*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 8253] -> a^6 + 3*a^8 - 3*a^10 - 2*a^4*z^2 + 
   8*a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 + 
   8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8254] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8255] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (17*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (26*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 8256] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8257] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 8258] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 + z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (11*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8259] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8260] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8261] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 8262] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^4 + 3*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 8263] -> 
  -2 + a^(-2) + 5*a^2 - 4*a^4 + a^8 - 11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 12*z^4 + z^4/a^2 + 17*a^2*z^4 - 
   5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 3*z^6 + 10*a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 8264] -> 
  -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 8265] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 + 
   a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8266] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8267] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 
   z^2 + 7*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   13*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8268] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 19*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 21*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 8269] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 + z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8270] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8271] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8272] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8273] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 9*a^2*z^2 - 15*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 
   14*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 8274] -> -2 + 2/a^2 + a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8275] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^8 + 
   (15*z^2)/a^6 - (25*z^2)/a^4 + (12*z^2)/a^2 + (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (33*z^4)/a^4 + (13*z^4)/a^2 + (4*z^6)/a^8 - (6*z^6)/a^6 - (21*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 8276] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 
   5*z^2 - z^2/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (16*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8277] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8278] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + 
   z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 8279] -> 
  -1 + 4*a^4 - 2*a^8 - 3*z^2 - 2*a^2*z^2 + 16*a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 - 3*z^4 + a^2*z^4 + 19*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 8280] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 
   5*z^2 + 4*a^2*z^2 + 12*a^4*z^2 - 4*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 
   17*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 10*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8281] -> 2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^4 - 
   4/a^2 + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 8282] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 2*z^2 - z^2/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 8283] -> 1 - a^(-2) + a^2 + a^4 - a^8 - (2*z^2)/a^2 + 
   5*a^2*z^2 + 5*a^4*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 8284] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[14, Alternating, 8285] -> 
  a^4 + 2*a^8 - 2*a^10 + 5*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 - a^2*z^4 - 
   a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   6*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8286] -> -7 + 2/a^2 + 14*a^2 - 12*a^4 + 4*a^6 - 
   20*z^2 + (5*z^2)/a^2 + 33*a^2*z^2 - 28*a^4*z^2 + 8*a^6*z^2 - 22*z^4 + 
   (4*z^4)/a^2 + 35*a^2*z^4 - 27*a^4*z^4 + 5*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   21*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 8287] -> -4 - a^(-8) + 6/a^6 - 14/a^4 + 
   14/a^2 - 8*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (35*z^2)/a^4 + 
   (31*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + (19*z^4)/a^6 - (38*z^4)/a^4 + 
   (28*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - (22*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 8288] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + (5*z^4)/a^8 - z^4/a^6 - 
   (24*z^4)/a^4 + (10*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (16*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 8289] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 
   4*z^2 + (9*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8290] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8291] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 5*z^2 - 
   z^2/a^4 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8292] -> 
  4 - 2/a^2 - a^4 + 8*z^2 - z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   10*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8293] -> 3*a^6 - a^8 - a^10 - a^2*z^2 - 2*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 20*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8294] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + (3*z^2)/a^16 - (14*z^2)/a^14 + 
   (4*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (16*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8295] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) + z^2/a^16 - (7*z^2)/a^14 + 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8296] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (4*z^2)/a^10 - (17*z^2)/a^8 + 
   (30*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (35*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 8297] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8298] -> 2 - a^(-2) - a^2 + 2*a^4 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8299] -> 
  -3 + 2/a^2 + a^2 + 4*a^4 - 5*a^6 + 2*a^8 - 9*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 7*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   5*a^2*z^4 + 6*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 8300] -> 
  6 - a^(-8) + 3/a^6 - 2/a^4 - 3/a^2 - 2*a^2 + 11*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8301] -> 3 + 2/a^4 - 4/a^2 + 7*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 8302] -> 
  1 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 8303] -> 
  2 - 2*a^2 + a^4 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 
   z^4/a^2 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8304] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   z^4 + (3*z^4)/a^2 - 7*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8305] -> 3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 + z^2/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - 
   5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 8306] -> a^4 - 3*a^6 + 8*a^8 - 5*a^10 - 3*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 17*a^8*z^2 - 8*a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   3*a^6*z^4 + 14*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8307] -> a^6 + 3*a^8 - 3*a^10 - z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 
   5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 8308] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^2, Knot[14, Alternating, 8309] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8310] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 
   2*z^2 + a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   5*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8311] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8312] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 4*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 8313] -> -a^2 + 3*a^4 - a^10 - z^2/a^2 + a^2*z^2 + 
   5*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 + a^8*z^4, Knot[14, Alternating, 8314] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^2 - a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 8315] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8316] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 8317] -> -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 9*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 8*z^4 + 
   z^4/a^2 + 6*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 8318] -> 
  2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8319] -> 1 + a^(-4) - a^(-2) + a^2 - 2*a^4 + a^8 - 
   z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 8320] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8321] -> 1 + 2*a^2 - 3*a^4 + a^8 - 5*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 8322] -> 2*a^2 - a^4 - 3*z^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*z^4 + z^4/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 8323] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   14*z^2 - z^2/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 8324] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (22*z^4)/a^4 + (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8325] -> a^6 + 3*a^8 - 3*a^10 - 4*a^4*z^2 + 
   10*a^6*z^2 + 11*a^8*z^2 - 8*a^10*z^2 - 8*a^4*z^4 + 17*a^6*z^4 + 
   17*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 8326] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 
   2*a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   13*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8327] -> 3*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8328] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 16*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (30*z^2)/a^2 + 3*a^2*z^2 - 19*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (36*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8329] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 2*a^2*z^2 - 5*a^4*z^2 + 28*a^6*z^2 - 
   14*a^8*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 30*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8330] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8331] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 8*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 8332] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 
   3*z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8333] -> 
  2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 8334] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 8335] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^6 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8336] -> 
  -7 + 4/a^2 + 4*a^2 - 19*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 20*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8337] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (21*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8338] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8339] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 4*a^4*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 8340] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + z^2/a^16 - (8*z^2)/a^14 - (2*z^2)/a^12 + (17*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + (6*z^4)/a^12 + (19*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 8341] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + (5*z^4)/a^8 - 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 8342] -> 
  3*a^6 - a^8 - a^10 - 3*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - 
   a^2*z^4 - 4*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8343] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8344] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - 
   (12*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8345] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 + z^2 + z^2/a^12 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 8346] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8347] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 8348] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8349] -> 
  1 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8350] -> 
  a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 3*a^4*z^2 + 9*a^6*z^2 - 
   14*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 10*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 8351] -> 
  2*a^4 - a^6 + a^10 - a^12 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[14, Alternating, 8352] -> 
  a^(-14) - 3/a^12 + a^(-10) + a^(-8) + a^(-4) - (4*z^2)/a^12 + 
   (5*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 
   (5*z^4)/a^10 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8353] -> -1 + 6*a^4 - 4*a^6 - 4*z^2 + 4*a^2*z^2 + 
   11*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - 2*z^4 - z^4/a^2 + 7*a^2*z^4 + 
   9*a^4*z^4 - a^6*z^4 - a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 8354] -> 2/a^16 - 5/a^14 + 2/a^12 - a^(-10) + 3/a^8 + 
   z^2/a^16 - (10*z^2)/a^14 + (6*z^2)/a^12 + (4*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^4)/a^14 + (8*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8355] -> a^(-16) - 2/a^14 - a^(-12) + a^(-10) + 
   a^(-8) + a^(-6) - (4*z^2)/a^14 + (6*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 8356] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (12*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (8*z^4)/a^10 + 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8357] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-2) + 
   z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8358] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8359] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) - z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4 - (5*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8360] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8361] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 
   7*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 8362] -> 
  a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8363] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   3*z^4 - z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8364] -> -6 + 3/a^2 + 5*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 8365] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - (5*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 + (2*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8366] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^8 + 
   (7*z^2)/a^6 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8367] -> 1 - a^2 + 2*a^4 - a^6 + 2*a^6*z^2 - a^8*z^2 + 
   z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8368] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 8369] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8370] -> 
  -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 4*z^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8371] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8372] -> 2 - 2*a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 8373] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8374] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (13*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (15*z^4)/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 + (5*z^6)/a^10 - 
   (6*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8375] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 4*z^2 + 
   (4*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 - z^4/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - z^6/a^6 + (14*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 8376] -> 
  a^(-8) - 4/a^4 + 4/a^2 - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 - z^4 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 8377] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (16*z^2)/a^14 + z^2/a^12 + (23*z^2)/a^10 + (2*z^2)/a^8 + 
   z^4/a^16 - (15*z^4)/a^14 + (13*z^4)/a^12 + (34*z^4)/a^10 + (5*z^4)/a^8 - 
   (4*z^6)/a^14 + (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8378] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (4*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8379] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 + 
   (7*z^4)/a^12 - (9*z^4)/a^10 - (10*z^4)/a^8 + (13*z^4)/a^6 + (5*z^6)/a^12 - 
   (12*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 8380] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   z^2/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8381] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (5*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8382] -> -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 + 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8383] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 28*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (23*z^2)/a^2 + 10*a^2*z^2 - 37*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (27*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 8384] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8385] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 4*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (22*z^2)/a^4 + (17*z^2)/a^2 - 6*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (28*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8386] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   2*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 8387] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 6*z^2 - 
   z^2/a^4 - 2*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 - 3*a^2*z^6 - 
   3*a^4*z^6, Knot[14, Alternating, 8388] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8389] -> 2 + a^(-4) - 2/a^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 8390] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8391] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 8392] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8393] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8394] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8395] -> 
  2*a^6 - a^8 + 4*a^10 - 6*a^12 + 2*a^14 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   14*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 
   16*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 + 5*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[14, Alternating, 8396] -> 
  2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 - 2*a^2*z^2 + 6*a^4*z^2 + 
   8*a^6*z^2 - 17*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   10*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 8397] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8398] -> 2 - 2*a^4 + a^8 + 2*z^2 - (2*z^2)/a^2 - 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 + 2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8399] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8400] -> a^(-4) - 2*a^2 + 2*a^4 - z^2/a^4 - 
   5*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 8401] -> 1 - a^4 + 2*a^6 - a^8 + 
   4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8402] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8403] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8404] -> 
  a^2 + a^4 - a^6 - 2*z^2 + (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 5*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   z^6/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 8405] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 
   (2*z^4)/a^2 - 8*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8406] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - 
   z^2/a^2 - 8*a^4*z^2 + 4*a^6*z^2 + 3*z^4 + z^4/a^2 - 6*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - z^6 + z^6/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8407] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 7*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (21*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8408] -> 5*a^8 - 4*a^10 - 4*a^4*z^2 + 6*a^6*z^2 + 
   20*a^8*z^2 - 12*a^10*z^2 - 8*a^4*z^4 + 13*a^6*z^4 + 29*a^8*z^4 - 
   13*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 8409] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 - 2*a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   10*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8410] -> -a^4 + 4*a^6 - 2*a^10 - 2*a^2*z^2 + 
   12*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 15*a^6*z^4 + 
   6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8411] -> 
  2*a^6 + a^8 - 2*a^10 - z^2 + 3*a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 - z^4 + 5*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8412] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^14 - (6*z^2)/a^12 + 
   (13*z^2)/a^10 - (14*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8413] -> a^(-14) - 4/a^12 + 3/a^10 + a^(-4) + 
   z^2/a^14 - (9*z^2)/a^12 + (17*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8414] -> 
  -a^4 + 4*a^6 - 2*a^10 - a^2*z^2 - 4*a^4*z^2 + 18*a^6*z^2 - 4*a^10*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 23*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 8415] -> -2*a^4 + 8*a^6 - 5*a^8 - 
   2*a^2*z^2 - 4*a^4*z^2 + 23*a^6*z^2 - 6*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 - 
   a^4*z^4 + 26*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8416] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8417] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 5*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8418] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8419] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 2*a^2*z^2 - 5*a^4*z^2 + 26*a^6*z^2 - 9*a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 29*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8420] -> 
  -a^4 + 6*a^6 - 4*a^8 - z^2 - a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 - 
   a^10*z^2 - z^4 + 5*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8421] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (17*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 8422] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   z^2 - 2*a^2*z^2 + 5*a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 - z^4 + 
   6*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8423] -> 
  1 - a^2 + 3*a^6 - 2*a^8 - z^2 + 6*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8424] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 21*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8425] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 - z^2/a^2 + 7*a^2*z^2 - 15*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 8426] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 - 
   z^4/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8427] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^2 - 
   z^4 - z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8428] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8429] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8430] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + 
   z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 8431] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   4*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 8432] -> 2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + a^(-8) + 
   z^2/a^16 - (11*z^2)/a^14 + (9*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^4)/a^14 + (9*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8433] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - (4*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 8434] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8435] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 + (6*z^2)/a^8 - 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 8436] -> 
  2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 - 2*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 
   15*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 12*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8437] -> 
  a^4 + 2*a^8 - 2*a^10 - z^2 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 8438] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 5*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8439] -> 1 - z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 8440] -> a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (4*z^2)/a^12 + (8*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8441] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (3*z^2)/a^4 + z^4 + z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 8442] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8443] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 8444] -> 
  4*a^6 - 3*a^8 - z^2 - a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 
   a^10*z^2 - z^4 + 6*a^4*z^4 + 7*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8445] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - (5*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8446] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 8447] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8448] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 8449] -> -3 + 3/a^2 - a^2 + 2*a^4 - 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8450] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 + 2*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 8451] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8452] -> 1 + a^2 - 2*a^4 + 2*a^8 - a^10 + 3*a^2*z^2 - 
   4*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, Alternating, 8453] -> a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 - z^4 - 5*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, Knot[14, Alternating, 8454] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 4*a^4*z^2 + 3*a^6*z^2 + z^4 - 
   z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8455] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - (3*z^2)/a^12 + (11*z^2)/a^10 - 
   (10*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (9*z^4)/a^10 - 
   (16*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8456] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + 
   (10*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 + z^6/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8457] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + (7*z^4)/a^8 - (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - (13*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 8458] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8459] -> 3*a^6 - a^8 - a^10 - 2*a^4*z^2 + 9*a^6*z^2 + 
   5*a^8*z^2 - 5*a^10*z^2 - 7*a^4*z^4 + 14*a^6*z^4 + 13*a^8*z^4 - 
   8*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 8460] -> a^4 + a^6 - a^10 + 6*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 + 9*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 8461] -> -1 - a^(-6) + 3/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (17*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8462] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 2*z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8463] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 8464] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8465] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 + 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 8466] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   z^2/a^12 + (13*z^2)/a^10 - (24*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^4)/a^12 + (8*z^4)/a^10 - (27*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8467] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (6*z^2)/a^10 - (8*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (8*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8468] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8469] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8470] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 26*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   27*a^2*z^2 - 8*a^4*z^2 - 33*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8471] -> -5 + 2/a^2 + 5*a^2 - a^6 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 7*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8472] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 3*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (18*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 8473] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 
   2/a^2 + a^2 - z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8474] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 19*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8475] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 17*z^2 + 
   (4*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 
   28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8476] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 - z^2 + 
   7*a^2*z^2 - 13*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   21*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8477] -> a^4 + 2*a^6 - 2*a^8 + z^2 - a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 8478] -> a^(-2) - a^2 + a^4 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 8479] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8480] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   3*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8481] -> 
  a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8482] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8483] -> -2 + 2/a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 8484] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 
   3*z^2 + 13*a^2*z^2 - 21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   22*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8485] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 
   11*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8486] -> -2 + 6*a^2 - 3*a^4 - 12*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 8487] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 5*a^2*z^2 - 17*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8488] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 5*z^2 + 6*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[14, Alternating, 8489] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 8490] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   19*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8491] -> 2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 5*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8492] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 5*z^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 
   8*a^4*z^4 + 6*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 8493] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 8494] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - 
   z^8/a^2, Knot[14, Alternating, 8495] -> -5 + a^(-4) + a^(-2) + 5*a^2 - 
   a^4 - 6*z^2 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 8496] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - z^2 - (3*z^2)/a^4 + z^2/a^2 - 
   a^4*z^2 + 4*z^4 - z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 8497] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8498] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   14*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8499] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8500] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8501] -> a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^4*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 8502] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (4*z^4)/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8503] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8504] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 8505] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 5*z^2 + 7*a^2*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8506] -> 
  a^2 + a^6 - a^8 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + z^4 - 5*a^2*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8507] -> 
  a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8508] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - 
   z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8509] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 8510] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8511] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 8512] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^10 + 
   (5*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8513] -> 3 - a^(-8) + 3/a^4 - 3/a^2 - a^2 + 6*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8514] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 + 
   z^4/a^10 - (4*z^4)/a^8 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8515] -> 
  3 - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 8516] -> 4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^4 - 
   6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 8517] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 4*a^4*z^2 + 7*a^6*z^2 - 16*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 
   9*a^6*z^4 - 22*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 3*a^4*z^6 + 9*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 8518] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + a^2*z^2 + 
   6*a^4*z^2 - 6*a^6*z^2 + 5*a^10*z^2 - a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8519] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 + 4*a^2*z^2 - 11*a^4*z^2 + 23*a^6*z^2 - 
   12*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 26*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8520] -> -a^2 + 4*a^4 - a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8521] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8522] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8523] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 
   18*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 
   22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8524] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - z^2 + 
   15*a^2*z^2 - 24*a^4*z^2 + 10*a^6*z^2 + 6*z^4 + a^2*z^4 - 28*a^4*z^4 + 
   12*a^6*z^4 + 5*z^6 - 10*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + z^8 - 
   6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 8525] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 + z^2/a^2 - 
   5*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + (3*z^4)/a^2 - 12*a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 - 3*z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8526] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 7*z^2 - z^2/a^2 - 4*a^2*z^2 - 
   8*a^4*z^2 + 5*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 - 10*a^2*z^4 - 7*a^4*z^4 + 
   4*a^6*z^4 - 2*z^6 + z^6/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8527] -> 
  2 - a^2 - a^4 + a^6 + (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + z^4/a^4 + z^4/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 8528] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^10 - (2*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 8529] -> a^6 + 3*a^8 - 3*a^10 - 2*a^4*z^2 + 
   4*a^6*z^2 + 17*a^8*z^2 - 10*a^10*z^2 - 7*a^4*z^4 + 10*a^6*z^4 + 
   26*a^8*z^4 - 12*a^10*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 8530] -> 2*a^6 + a^8 - 2*a^10 - 
   2*a^4*z^2 + 9*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   12*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8531] -> a^4 - a^6 + 4*a^8 - 3*a^10 - a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   9*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8532] -> a^4 + 2*a^8 - 2*a^10 - a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 
   5*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 8533] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   2*a^2*z^2 - 3*a^4*z^2 + 24*a^6*z^2 - 12*a^8*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   26*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8534] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 - a^2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 8535] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8536] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8537] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8538] -> -1 + 3*a^2 - a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 8539] -> 2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 8540] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 8541] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + 
   a^8 - z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 3*z^4 - (3*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 8542] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8543] -> -a^(-4) + 2/a^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 8544] -> 1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 - z^2 + 
   10*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8545] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 5*z^2 - 
   z^2/a^2 - 6*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8546] -> 
  3 - a^(-2) - a^2 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8547] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8548] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8549] -> 
  a^(-2) - a^2 + a^4 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8550] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 3*a^4*z^2 + 19*a^6*z^2 - 12*a^8*z^2 + 
   2*a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 10*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 8551] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + z^4 - 3*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8552] -> 
  2 - 2*a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 8553] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 8554] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   17*z^2 - z^2/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 8555] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 8556] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (11*z^2)/a^14 + 
   (6*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + 
   (9*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8557] -> 
  -3/a^10 + 3/a^8 + a^(-6) - (2*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8558] -> 
  -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8559] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8560] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 - a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8561] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 2*a^4*z^2 + 
   17*a^6*z^2 - 6*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 20*a^6*z^4 - 
   3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8562] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8563] -> 
  2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 8564] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^14 - 
   (6*z^2)/a^12 + (8*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (13*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^4 + (5*z^6)/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8565] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (26*z^4)/a^4 + (16*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8566] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8567] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8568] -> 
  a^(-2) - a^6 + a^8 - 2*z^2 - a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   2*z^4 + z^4/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8569] -> 
  2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - a^(-2) + z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8570] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 8571] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 
   23*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8572] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   14*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + 
   (5*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8573] -> -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8574] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 8575] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   2*z^2 - a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8576] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8577] -> a^(-6) - a^(-4) + a^2 - z^2/a^8 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8578] -> 2*a^4 - a^6 + a^8 - a^10 + 5*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8579] -> 
  -a^(-12) + a^(-8) + a^(-4) - z^2/a^12 + (4*z^2)/a^10 + z^2/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8580] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 8581] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^2 + z^4 + z^4/a^10 - z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 8582] -> 
  -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) + (9*z^2)/a^8 - (12*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^10 + (2*z^4)/a^8 - (16*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 8583] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 + z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^6 - (6*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 8584] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 - a^2*z^2 + 7*a^4*z^2 - 9*a^6*z^2 + 
   14*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 11*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8585] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 - 
   z^4 + a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8586] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8587] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (21*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 8588] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8589] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + z^2 + z^2/a^12 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 8590] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8591] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 8592] -> -3 + a^(-6) - 2/a^4 + 4/a^2 + a^6 - 2*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   3*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[14, Alternating, 8593] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^8*z^2 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, Alternating, 8594] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 
   z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + a^8*z^2 - z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 8595] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   6*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8596] -> 2*a^2 - a^4 + z^2 - a^2*z^2 + a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8597] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 8598] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8599] -> 
  a^2 + a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8600] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 + 2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 - z^4 - 3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - z^6 + 
   2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 8601] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   4*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + a^4*z^6 - a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 8602] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8603] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   13*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + 
   (5*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8604] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   5*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8605] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 - (7*z^2)/a^4 + (22*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 31*z^4 - 
   (9*z^4)/a^4 + (32*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 16*z^6 - (5*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8606] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 - 2*z^2 + 
   14*a^2*z^2 - 25*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   31*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8607] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 7*z^4 + 23*a^2*z^4 - 19*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8608] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (13*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - 
   (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8609] -> 1 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 8610] -> -5 - a^(-6) - 4/a^4 + 11/a^2 - 
   12*z^2 - (6*z^2)/a^6 + z^2/a^4 + (24*z^2)/a^2 - 11*z^4 - (9*z^4)/a^6 + 
   (13*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 8611] -> -1 - 4/a^6 + 6/a^4 - 3*z^2 - 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (15*z^2)/a^4 - 3*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (16*z^4)/a^4 + (2*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 8612] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   2*z^2 - z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8613] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + (3*z^2)/a^16 - (18*z^2)/a^14 + 
   (9*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + 
   (20*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^14 + 
   (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8614] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (4*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8615] -> 
  1 + a^4 - 2*a^6 + a^8 - 2*z^2 + 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8616] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (5*z^4)/a^10 - 
   (11*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 8617] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8618] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 - (6*z^4)/a^6 + 
   (8*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 8619] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8620] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8621] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + (2*z^2)/a^16 - (9*z^2)/a^14 - 
   (2*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (12*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + 
   (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8622] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) + z^2/a^16 - (5*z^2)/a^14 - z^2/a^12 + 
   (8*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8623] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + z^4/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 8624] -> 
  -4/a^8 + 5/a^6 + a^(-4) - a^(-2) - (9*z^2)/a^8 + (18*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 - (6*z^4)/a^8 + (21*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8625] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8626] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8627] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 5*z^2 - (6*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 
   10*z^4 - (8*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + 12*z^6 - (5*z^6)/a^2 + 
   19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 8628] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 
   8*z^2 - z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 12*z^4 - 
   (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8629] -> 1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 8630] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - 5*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8631] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8632] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (9*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8633] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8634] -> 3 + 2/a^6 - 3/a^4 - 2*a^2 + a^4 + 6*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8635] -> 3 + 2/a^6 - 3/a^4 - 2*a^2 + a^4 + 5*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8636] -> 
  1 - a^6 + 2*a^8 - a^10 + z^2 - a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 
   a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 8637] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 + a^6 - 3*z^2 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[14, Alternating, 8638] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8639] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8640] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8641] -> 
  a^2 + a^4 - a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8642] -> -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 8643] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - 
   (6*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 - (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (23*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 8644] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   5*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8645] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8646] -> a^(-10) - 2/a^8 + a^(-6) + a^(-4) - a^(-2) + 
   a^2 - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8647] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + (4*z^2)/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8648] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (10*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (4*z^4)/a^10 - z^4/a^8 + 
   (23*z^4)/a^6 - (8*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + (15*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 8649] -> -2/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   z^4/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8650] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8651] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - z^2 - 
   z^2/a^2 + 3*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 8652] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 8653] -> 
  -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8654] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8655] -> 3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 + 
   6*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 8656] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) + (5*z^2)/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8657] -> 
  2/a^16 - 4/a^14 + a^(-12) - 2/a^10 + 4/a^8 + (3*z^2)/a^16 - (12*z^2)/a^14 + 
   (3*z^2)/a^12 + (3*z^2)/a^10 + (12*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + 
   (9*z^4)/a^12 + (12*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^14 + 
   (8*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 8658] -> 1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 8659] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 + (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 8660] -> 1 + 3*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8661] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + (3*z^2)/a^16 - (14*z^2)/a^14 + 
   (2*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + 
   (13*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + 
   (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8662] -> 
  7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 12*z^2 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8663] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 8664] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 2*z^4 - (2*z^4)/a^8 + (3*z^4)/a^4 - z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 8665] -> 
  -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 3*z^2 + 3*a^2*z^2 + 2*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + 19*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8666] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8667] -> 
  -2 + 4*a^2 - a^8 - (2*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8668] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + z^2 - 
   z^2/a^4 + 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 8669] -> 2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8670] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 8671] -> a^6 + 3*a^8 - 3*a^10 - a^2*z^2 + 
   8*a^6*z^2 + 7*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 13*a^6*z^4 + 
   6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8672] -> 
  2*a^6 + a^8 - 2*a^10 - a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8673] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8674] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 18*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 8675] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   6*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[14, Alternating, 8676] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   5*z^4 + z^4/a^2 + 15*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 8677] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - 
   4*a^4*z^2 + 20*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + 
   20*a^6*z^4 - 6*a^8*z^4 - a^10*z^4 - a^2*z^6 + 11*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8678] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   5*a^2*z^4 - 10*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 8679] -> 1 + z^4/a^6 - (2*z^4)/a^2 + a^2*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 8680] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8681] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 
   6*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 8682] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 18*z^2 + 
   (5*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   26*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8683] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + 
   3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8684] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 
   13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 20*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8685] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 9*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 8686] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 16*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 8687] -> 
  -a^(-8) + 2/a^4 + z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + (5*z^4)/a^8 - 
   (6*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 8688] -> 
  -2/a^6 + 3/a^4 + z^2 + z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + 2*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8689] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8690] -> -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 7*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 8691] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 17*z^2 + 
   (4*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8692] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8693] -> 2/a^16 - 5/a^14 + 3/a^12 - a^(-10) + 2/a^6 + 
   z^2/a^16 - (8*z^2)/a^14 + (6*z^2)/a^12 + (4*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^14 + (6*z^4)/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8694] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 7*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 8695] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^8 - 
   z^4/a^4 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 8696] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - z^2/a^8 + 
   z^2/a^4 + z^2/a^2 - z^4/a^10 + (2*z^4)/a^6 - z^4/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 8697] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + 
   22*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8698] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8699] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 8700] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8701] -> 
  -a^(-4) + 2/a^2 + z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8702] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - (3*z^4)/a^10 - z^4/a^8 + 
   (11*z^4)/a^6 - (4*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 8703] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 
   z^4/a^10 - (8*z^4)/a^8 + (20*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 8704] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8705] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (20*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (26*z^4)/a^4 + (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 8706] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^12 + (10*z^2)/a^10 - (21*z^2)/a^8 + 
   (20*z^2)/a^6 - (2*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (27*z^4)/a^8 + 
   (25*z^4)/a^6 - (5*z^4)/a^4 + (3*z^6)/a^10 - (15*z^6)/a^8 + (16*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 8707] -> 1 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (21*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 8708] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 2*z^2 + 
   z^2/a^4 + a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8709] -> -1 + a^(-2) + a^2 - z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 8710] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 
   4*z^4 + z^4/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 8711] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8712] -> 1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8713] -> 
  -1 + 4*a^2 - 2*a^4 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8714] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 8715] -> 2*a^2 - a^4 + 2*z^2 - a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8716] -> 
  1 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 8717] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8718] -> -1 - a^(-6) + 3/a^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 8719] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 8720] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 + (4*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8721] -> 
  -2/a^6 + 3/a^4 + 2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8722] -> 5*a^8 - 4*a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 + 10*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 11*a^6*z^4 + 
   8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8723] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (20*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8724] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 8725] -> 
  -a^4 + 4*a^6 - 2*a^10 - z^2 + a^2*z^2 + 10*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 
   z^4 + a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8726] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (23*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (29*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 8727] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8728] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8729] -> 2 - a^(-2) + a^6 - a^8 + 5*z^2 - z^2/a^4 - 
   2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 8730] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 8731] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - z^2 - a^2*z^2 + a^4*z^2 + 16*a^6*z^2 - 6*a^8*z^2 - 
   a^10*z^2 - z^4 + 5*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8732] -> 
  a^2 + a^6 - a^8 + z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 8733] -> 
  -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 8734] -> 
  -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 8735] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8736] -> 
  1 - a^2 + 2*a^4 - a^6 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 8737] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (7*z^2)/a^14 - (3*z^2)/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 - 
   (5*z^4)/a^14 + (4*z^4)/a^12 + (19*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + 
   (4*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8738] -> 5*a^2 - 7*a^4 + 3*a^6 - 3*z^2 - z^2/a^2 + 
   16*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 8*z^4 + z^4/a^2 + 24*a^2*z^4 - 
   21*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8739] -> -a^4 + 6*a^6 - 4*a^8 - 5*a^4*z^2 + 
   20*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - a^2*z^4 - 5*a^4*z^4 + 22*a^6*z^4 - 
   3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8740] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (6*z^2)/a^10 - (13*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (6*z^4)/a^10 - (16*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8741] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 + 11*a^6*z^2 - 
   5*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 14*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 8742] -> 
  -1 + 2*a^2 + a^4 - a^8 - z^2/a^2 + 4*a^2*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   3*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8743] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 - z^4/a^10 - (4*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8744] -> 
  a^6 + 3*a^8 - 3*a^10 - a^2*z^2 + a^4*z^2 + 7*a^6*z^2 + 6*a^8*z^2 - 
   4*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 10*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8745] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 + z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6 + z^6/a^8 - (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8746] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8747] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8748] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8749] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (19*z^2)/a^2 + a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (25*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8750] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8751] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8752] -> 2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 4*a^2*z^2 - 
   2*a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 
   a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 
   3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 8753] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + (7*z^2)/a^10 - (9*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (10*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8754] -> 
  -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 2*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8755] -> 
  -2 + a^(-2) + 2*a^2 + 2*a^4 - 3*a^6 + a^8 - 5*z^2 + (2*z^2)/a^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 8756] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - 
   5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 8757] -> -1 + 5*a^2 - 8*a^4 + 9*a^6 - 4*a^8 - 4*z^2 + 
   19*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 6*z^4 + 24*a^2*z^4 - 
   32*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8758] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + a^2*z^2 - 
   10*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 18*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8759] -> 
  -3 + 8*a^2 - 4*a^4 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 8760] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8761] -> 3 - a^(-2) - a^2 + 2*z^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8762] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^4*z^2 + 11*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   11*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 6*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 8763] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8764] -> 
  -1 + a^(-4) + a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 8765] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8766] -> 
  2*a^4 - a^8 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8767] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 20*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8768] -> -2/a^6 + 3/a^4 + z^2/a^6 + 
   (2*z^2)/a^2 + (4*z^4)/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 8769] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 8770] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 8771] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 3*z^2 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (21*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 8772] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - 
   a^2 - 3*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 - 
   9*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 7*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8773] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8774] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8775] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 
   8*a^2*z^2 - 13*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   20*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8776] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8777] -> 1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 8778] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^4 - z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8779] -> 
  2/a^16 - 5/a^14 + 2/a^12 + a^(-10) - a^(-8) + 2/a^6 + z^2/a^16 - 
   (8*z^2)/a^14 + (4*z^2)/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^14 + (5*z^4)/a^12 + (8*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8780] -> a^(-16) - 2/a^14 - a^(-12) + 2/a^10 + 
   a^(-4) - (3*z^2)/a^14 + (5*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 8781] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8782] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 8783] -> 
  -1 - 2/a^4 + 4/a^2 - 11*z^2 - (7*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 
   15*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8784] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8785] -> a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8786] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 
   2*z^2 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   z^4/a^10 - z^4/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8787] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8788] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 8789] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8790] -> 2/a^16 - 6/a^14 + 4/a^12 - a^(-8) + 2/a^6 + 
   z^2/a^16 - (9*z^2)/a^14 + (8*z^2)/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^4)/a^14 + (7*z^4)/a^12 + (5*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8791] -> a^(-16) - 3/a^14 + a^(-12) + a^(-10) + 
   a^(-4) - (3*z^2)/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 8792] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^8 + (2*z^4)/a^6 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8793] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[14, Alternating, 8794] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 8795] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^2 + a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8796] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8797] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8798] -> 2 - a^2 - a^4 + a^6 + 6*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8799] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8800] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8801] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 8802] -> -1 + 4*a^2 - 2*a^4 + z^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 6*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8803] -> 
  3 - a^(-2) - a^2 + 3*z^2 - 3*a^2*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 8804] -> -4 - 2/a^4 + 6/a^2 + a^4 - 12*z^2 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 16*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + z^6/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 8805] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 7*z^2 + (4*z^2)/a^4 - z^2/a^2 + 
   2*a^4*z^2 - 7*z^4 + z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 8806] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8807] -> 
  -a^(-8) + 2/a^4 - z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4 - 
   z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8808] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8809] -> -a^6 + 7*a^8 - 5*a^10 - 3*a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 + 13*a^8*z^2 - 8*a^10*z^2 - 4*a^2*z^4 + 4*a^4*z^4 + 
   15*a^6*z^4 + 10*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8810] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - z^2 - 
   a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 - z^4 + 
   6*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8811] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 8812] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8813] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 2*z^2 + a^2*z^2 + a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 8814] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 8815] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8816] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 3*z^2 + z^2/a^6 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8817] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8818] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   3*z^2 - z^2/a^4 + z^2/a^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6, Knot[14, Alternating, 8819] -> -2 - a^(-6) + 2/a^4 + a^(-2) + 
   a^4 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - (2*z^4)/a^6 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 8820] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - 
   a^10 - z^2/a^2 + a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - a^10*z^2 + z^4 + 
   2*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + a^8*z^4, 
 Knot[14, Alternating, 8821] -> 3 - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 8822] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8823] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 8824] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8825] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 8826] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 8827] -> -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 6*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 8828] -> 
  1 - a^4 + 2*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 8829] -> 1 + a^2 - 2*a^4 + a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8830] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8831] -> 
  1 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - 2*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 8832] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 3*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8833] -> -2/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8834] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8835] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8836] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8837] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8838] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - z^4 - 
   a^2*z^4 + 2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 8839] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 5*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8840] -> a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + a^(-2) + 
   a^2 - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8841] -> 
  a^(-8) - a^(-6) + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8842] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (12*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 8843] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 - z^4 + a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, Alternating, 8844] -> 
  2*a^4 - a^8 - z^2 + 4*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 8845] -> 
  a^2 + a^6 - a^8 + a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8846] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (7*z^4)/a^8 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8847] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (4*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8848] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8849] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 15*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8850] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8851] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 8852] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   a^6 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8853] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8854] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 8855] -> -2 + 6*a^2 - 3*a^4 - 14*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8856] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 8857] -> 
  -8 - 5/a^4 + 12/a^2 + 2*a^2 - 26*z^2 - (6*z^2)/a^4 + (26*z^2)/a^2 + 
   9*a^2*z^2 - 31*z^4 + (2*z^4)/a^4 + (14*z^4)/a^2 + 12*a^2*z^4 - 20*z^6 + 
   (4*z^6)/a^4 - (4*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 8858] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 8*z^4 + z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 + z^6/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 8859] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 5*z^2 + (2*z^2)/a^2 - 9*a^2*z^2 + 
   4*a^4*z^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 8860] -> 1 - a^(-6) + a^(-4) + a^(-2) - 
   2*a^2 + a^4 - z^2 + (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^6 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 8861] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + (3*z^2)/a^16 - 
   (16*z^2)/a^14 + (9*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + z^4/a^16 - 
   (13*z^4)/a^14 + (16*z^4)/a^12 + (15*z^4)/a^10 + (12*z^4)/a^8 - 
   (3*z^6)/a^14 + (10*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8862] -> 
  a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + z^2/a^16 - (6*z^2)/a^14 - z^2/a^12 + 
   (7*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + (3*z^4)/a^12 + 
   (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 8863] -> 
  -3*a^2 + 5*a^4 + 3*a^6 - 4*a^8 - 13*a^2*z^2 + 19*a^4*z^2 + 18*a^6*z^2 - 
   14*a^8*z^2 - 16*a^2*z^4 + 30*a^4*z^4 + 30*a^6*z^4 - 16*a^8*z^4 - 
   7*a^2*z^6 + 23*a^4*z^6 + 23*a^6*z^6 - 7*a^8*z^6 - a^2*z^8 + 8*a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^4*z^10 + a^6*z^10, Knot[14, Alternating, 8864] -> 
  -1 + 3*a^4 + 2*a^6 - 3*a^8 - 4*z^2 - a^2*z^2 + 15*a^4*z^2 + 6*a^6*z^2 - 
   7*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 20*a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 11*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 8865] -> -3*a^2 + 6*a^4 + a^6 - 3*a^8 - 
   3*z^2 - 4*a^2*z^2 + 17*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 
   2*a^2*z^4 + 20*a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   11*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8866] -> -1 + 4*a^4 - 2*a^8 - 3*z^2 - z^2/a^2 + 
   4*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - z^4/a^2 + 7*a^2*z^4 + 
   9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 8867] -> -2 + 3*a^2 + a^4 + a^6 - 2*a^8 - 7*z^2 + 
   8*a^2*z^2 + 9*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 
   16*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 5*a^2*z^6 + 10*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8868] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 8*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 8869] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8870] -> 
  1 - a^(-2) + a^2 + 2*a^6 - 2*a^8 + 2*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 + 
   4*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 + 
   6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 8871] -> 1 - a^(-2) + a^2 + a^4 - a^8 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 3*z^4 + z^4/a^2 + 
   4*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, Knot[14, Alternating, 8872] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8873] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 
   17*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8874] -> -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 + z^2/a^6 - 
   (10*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8875] -> a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8876] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8877] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   23*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8878] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8879] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 20*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - 24*z^4 + z^4/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 8880] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 5*z^2 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 8881] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + z^2 - (5*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   9*z^4 - (8*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + 12*z^6 - (5*z^6)/a^2 + 
   19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 8882] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 + 2*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   10*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8883] -> -4 + 11*a^2 - 7*a^4 + a^6 - 11*z^2 + 
   z^2/a^2 + 27*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   30*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8884] -> -a^4 + 6*a^6 - 4*a^8 - 5*a^4*z^2 + 
   16*a^6*z^2 + a^8*z^2 - 5*a^10*z^2 - 8*a^4*z^4 + 19*a^6*z^4 + 12*a^8*z^4 - 
   8*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 8885] -> a^4 + a^6 - a^10 - a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 10*a^6*z^4 + 
   4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 8886] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + (3*z^2)/a^16 - (12*z^2)/a^14 - 
   (6*z^2)/a^12 + (26*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + 
   (8*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + 
   (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8887] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + (3*z^2)/a^16 - (17*z^2)/a^14 + 
   (10*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (18*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8888] -> 
  a^(-14) - 4/a^12 + 3/a^10 + a^(-8) - 2/a^6 + 2/a^4 + z^2/a^14 - 
   (9*z^2)/a^12 + (16*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^12 + (17*z^4)/a^10 - (11*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 8889] -> -1 + a^2 + a^4 + 3*a^6 - 3*a^8 - 
   4*z^2 + 8*a^2*z^2 - 4*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 
   15*a^2*z^4 - 13*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 8890] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 
   z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8891] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8892] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 + z^2/a^6 - (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8893] -> 
  -2 + 5*a^2 - 4*a^4 + 5*a^6 - 3*a^8 - 7*z^2 + 19*a^2*z^2 - 17*a^4*z^2 + 
   19*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 24*a^2*z^4 - 26*a^4*z^4 + 24*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8894] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8895] -> 2 - a^(-2) - a^2 + a^4 + 2*a^6 - 2*a^8 + 
   6*z^2 - (3*z^2)/a^2 - a^2*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8896] -> 
  2 - a^(-2) - a^2 + 2*a^4 - a^8 + 4*z^2 - z^2/a^4 - 2*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 8897] -> 
  1 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8898] -> 1 - 4*a^4 + 8*a^6 - 4*a^8 + 8*a^2*z^2 - 
   20*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 29*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 4*z^6 + 14*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8899] -> 
  -6 + a^(-4) + a^(-2) + 7*a^2 - 2*a^4 - 20*z^2 + (6*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 26*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8900] -> 
  1 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8901] -> 1 + z^2 - z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + z^4/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 8902] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   7*a^2*z^2 - 22*z^4 + (3*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + 
   (4*z^6)/a^4 - (6*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 8903] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   4*a^2*z^2 - 6*z^4 + z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 8904] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   9*z^2 - z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 - 12*z^4 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (26*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 8905] -> -a^(-4) + 2/a^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 8906] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + (7*z^2)/a^16 - (31*z^2)/a^14 + 
   (19*z^2)/a^12 + (20*z^2)/a^10 + (5*z^4)/a^16 - (40*z^4)/a^14 + 
   (45*z^4)/a^12 + (33*z^4)/a^10 + z^6/a^16 - (19*z^6)/a^14 + (40*z^6)/a^12 + 
   (24*z^6)/a^10 - (3*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 8907] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + (3*z^2)/a^16 - (12*z^2)/a^14 - 
   (3*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + 
   (7*z^4)/a^12 + (29*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 8908] -> 2/a^16 - 7/a^14 + 5/a^12 - a^(-10) + 2/a^8 + 
   (3*z^2)/a^16 - (17*z^2)/a^14 + (13*z^2)/a^12 + (6*z^2)/a^10 + 
   (9*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + (17*z^4)/a^12 + (15*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^6)/a^14 + (10*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 8909] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + 
   z^2/a^16 - (6*z^2)/a^14 + (8*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - 
   (3*z^4)/a^14 + (3*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8910] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + 
   (3*z^2)/a^14 - (17*z^2)/a^12 + (27*z^2)/a^10 - (18*z^2)/a^8 + 
   (12*z^2)/a^6 + z^4/a^14 - (14*z^4)/a^12 + (36*z^4)/a^10 - (26*z^4)/a^8 + 
   (13*z^4)/a^6 - (3*z^6)/a^12 + (18*z^6)/a^10 - (19*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, Alternating, 8911] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - a^(-6) + 
   2/a^4 + z^2/a^14 - (7*z^2)/a^12 + (9*z^2)/a^10 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^4)/a^12 + (9*z^4)/a^10 + z^4/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, Alternating, 8912] -> 
  -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 7*z^2 + 21*a^2*z^2 - 19*a^4*z^2 + 
   16*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 29*a^4*z^4 + 21*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 12*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8913] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8914] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8915] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8916] -> 2 - a^(-2) - a^4 + 3*a^6 - 2*a^8 + 
   8*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 8917] -> 2 - a^(-2) + a^6 - a^8 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 8918] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   z^2 - z^2/a^4 + z^2/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8919] -> 
  4 + a^(-10) - 2/a^8 + 3/a^6 - a^(-4) - 4/a^2 + 4*z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 + z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (15*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 8920] -> -1 + a^(-10) - 2/a^8 + 3/a^6 - 
   2/a^4 + 2*a^2 - 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8921] -> 1 - a^4 + 3*a^8 - 2*a^10 + z^2 + 3*a^2*z^2 - 
   5*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 
   5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + a^4*z^6 - 
   3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 8922] -> 
  -1 + a^(-4) - a^2 + 3*a^4 - a^6 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8923] -> a^4 + a^8 - a^12 + 7*a^4*z^2 - 4*a^6*z^2 + 
   2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 8924] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 8925] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8926] -> 1 - 7*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8927] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8928] -> -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8929] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   6*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 8930] -> -4 + 2/a^6 - 3/a^4 + 3/a^2 + 
   3*a^2 - 19*z^2 + (7*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 
   24*z^4 + (5*z^4)/a^6 - (24*z^4)/a^4 + (26*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + 
   z^6/a^6 - (12*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8931] -> 
  -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 5*z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 8932] -> 
  -3 + a^(-8) - a^(-6) + a^(-4) + 3*a^2 - 10*z^2 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^4 + 4*a^2*z^2 - 9*z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 8933] -> 
  -2 + a^(-8) - a^(-6) + a^(-4) + a^2 + a^4 - 5*z^2 + z^2/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 8934] -> a^2 + a^4 - a^6 - z^2/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 8935] -> 
  -5 + a^(-4) + 8*a^2 - 3*a^4 - 19*z^2 + z^2/a^4 + (4*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   16*z^6 - (4*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8936] -> 
  -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 9*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 8937] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8938] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8939] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8940] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   21*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 8941] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 - z^2/a^12 + (24*z^2)/a^10 + (2*z^2)/a^8 + 
   z^4/a^16 - (15*z^4)/a^14 + (12*z^4)/a^12 + (34*z^4)/a^10 + (5*z^4)/a^8 - 
   (4*z^6)/a^14 + (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8942] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 13*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8943] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8944] -> 
  -5 + a^(-4) + 8*a^2 - 3*a^4 - 20*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 
   6*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 8945] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 8946] -> 2 - 5*a^4 + 6*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 
   16*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - (2*z^4)/a^2 + 8*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 8947] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   2*a^4*z^2 + 9*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   10*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 6*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 8948] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 7*z^2 + z^2/a^2 + 8*a^2*z^2 + a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 8949] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (10*z^2)/a^10 - (16*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^4)/a^12 + (7*z^4)/a^10 - (22*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8950] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (5*z^2)/a^10 - (6*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8951] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 8952] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8953] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + 
   z^2/a^16 - (10*z^2)/a^14 + (5*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^4)/a^14 + (8*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 8954] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (4*z^2)/a^14 + (5*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 + (6*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 8955] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - 
   z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8956] -> 
  -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 2*z^2 - 5*a^2*z^2 + 18*a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 - 3*z^4 + 19*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 3*a^2*z^6 + 
   10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 8957] -> -1 + 5*a^4 - 2*a^6 - a^8 - 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 
   8*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 8958] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 
   2/a^4 - (4*z^2)/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^10 + z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 8959] -> 1 + a^(-10) - 3/a^8 + 5/a^4 - 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8960] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 4*z^2 - 
   z^2/a^2 + 8*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 
   9*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 8961] -> -a^(-12) + 2/a^10 - a^(-8) - 
   2/a^6 + 3/a^4 - z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - z^4 - (5*z^4)/a^8 + (6*z^4)/a^4 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 8962] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 8963] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - z^4/a^4 + 
   z^4/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 8964] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   2*z^4 + z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8965] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 8966] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + z^2/a^10 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^12 - (4*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 8967] -> 
  a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - 
   2*a^2*z^4 + 8*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 8968] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 4*a^6*z^2 + 
   a^8*z^2 - a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 8969] -> 
  1 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 8970] -> -5 + a^(-6) - 4/a^4 + 8/a^2 - a^2 + 2*a^4 - 
   8*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 8971] -> 2 + a^(-10) - 3/a^8 + 6/a^6 - 
   6/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - 
   (10*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8972] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - z^2 - (5*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 
   8*z^4 - (8*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 12*z^6 - (5*z^6)/a^2 + 
   20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 8973] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 
   9*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 14*z^4 - 
   (3*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8974] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 + z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8975] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 8976] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 8977] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 
   3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 8978] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 8979] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (5*z^2)/a^12 + (11*z^2)/a^10 - 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (7*z^4)/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 8980] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 8981] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8982] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 3*a^2*z^2 + 2*a^4*z^2 + 16*a^6*z^2 - 
   9*a^8*z^2 - z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 13*a^6*z^4 - 3*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 8983] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + a^6 + 
   2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 8984] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^2 + a^2 - 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 8985] -> 2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 
   2*a^4*z^2 + 4*a^6*z^2 + 8*a^10*z^2 - 5*a^12*z^2 + a^2*z^4 + 2*a^4*z^4 - 
   a^8*z^4 + 7*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6, 
 Knot[14, Alternating, 8986] -> 2*a^4 - a^8 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   5*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 8987] -> -1 + 6*a^2 - 10*a^4 + 10*a^6 - 
   4*a^8 - 5*z^2 + 23*a^2*z^2 - 33*a^4*z^2 + 23*a^6*z^2 - 4*a^8*z^2 - 8*z^4 + 
   30*a^2*z^4 - 38*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 5*z^6 + 20*a^2*z^6 - 
   18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 8988] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 8989] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 13*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 8990] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   5*a^4*z^2 + a^6*z^2 - 8*a^8*z^2 + 5*a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 7*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6, 
 Knot[14, Alternating, 8991] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 8992] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - z^6/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 8993] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 8994] -> a^(-10) - 6/a^8 + 6/a^6 + a^(-4) - a^(-2) - 
   z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 - z^4/a^8 + (15*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 8995] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 - z^2/a^6 - (8*z^2)/a^4 + 
   (21*z^2)/a^2 - 10*z^4 - (5*z^4)/a^6 + z^4/a^4 + (24*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 8996] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 8997] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^8 - z^4/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 8998] -> 2/a^16 - 6/a^14 + a^(-12) + 
   4/a^10 + (3*z^2)/a^16 - (17*z^2)/a^14 + (5*z^2)/a^12 + (22*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (14*z^4)/a^12 + (34*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 8999] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (4*z^4)/a^12 + (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 9000] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - 
   (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 9001] -> -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^10 - 
   z^2/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 9002] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + (2*z^2)/a^16 - (5*z^2)/a^14 - 
   (14*z^2)/a^12 + (25*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (9*z^4)/a^14 - 
   (3*z^4)/a^12 + (35*z^4)/a^10 + (6*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 9003] -> -a^(-2) + 5*a^2 - 3*a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9004] -> 4 - 2/a^2 - a^4 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 9005] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (16*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (16*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (5*z^6)/a^10 - 
   (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 9006] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (30*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (35*z^4)/a^6 - (21*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (21*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 9007] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9008] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9009] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (14*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9010] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9011] -> 
  a^2 - a^4 + 5*a^6 - 6*a^8 + 2*a^10 + z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9012] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9013] -> 2 + a^(-10) - 2/a^8 + 4/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 - 
   (11*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (15*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9014] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 - 
   a^(-2) + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 9015] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9016] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - z^2/a^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9017] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   18*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9018] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9019] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 9020] -> -4 - 2/a^4 + 6/a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9021] -> -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 + 
   z^4/a^4 - (6*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 9022] -> 5 - 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9023] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 9024] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   5*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6, 
 Knot[14, Alternating, 9025] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, Alternating, 9026] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, Alternating, 9027] -> 1 + a^2 - 2*a^4 + a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9028] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - z^2/a^2 - a^2*z^2 - 7*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9029] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9030] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + (3*z^2)/a^16 - (13*z^2)/a^14 - 
   (5*z^2)/a^12 + (27*z^2)/a^10 + z^2/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (10*z^4)/a^12 + (37*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + 
   (12*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 9031] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (4*z^2)/a^12 + (12*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^14 + (2*z^4)/a^12 + 
   (17*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 9032] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 - 
   5*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 6*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9033] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9034] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 + z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 9035] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 
   9*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9036] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 9037] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 
   17*z^2 + z^2/a^4 + (2*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 24*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9038] -> 1 - 3*z^2 + z^2/a^6 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 10*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9039] -> 3*a^4 - 5*a^8 + 4*a^10 - a^12 + 4*a^4*z^2 + 
   4*a^6*z^2 - 13*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 9040] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 9041] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + 
   a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + (15*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^12 - (7*z^4)/a^10 + (9*z^4)/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - z^8/a^8 - z^8/a^6, Knot[14, Alternating, 9042] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (4*z^2)/a^10 + 
   (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9043] -> -3*a^2 + 8*a^4 - 3*a^6 - a^8 - z^2 - 
   6*a^2*z^2 + 18*a^4*z^2 - 4*a^8*z^2 - 3*z^4 - a^2*z^4 + 18*a^4*z^4 + 
   4*a^6*z^4 - 4*a^8*z^4 - z^6 + 3*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9044] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 3*z^2 + 3*a^2*z^2 + 8*a^4*z^2 - 2*a^8*z^2 - 
   z^4 - z^4/a^2 + 5*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 9045] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9046] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9047] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 25*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9048] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 3*a^4*z^2 - 
   a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 + 
   5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 9049] -> 
  a^2 - a^4 + 2*a^6 - a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 + a^8*z^2 - 
   a^10*z^2 - z^4 - a^4*z^4 + 5*a^6*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 9050] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 + (7*z^2)/a^10 - (9*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (10*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 9051] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9052] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9053] -> -5 + a^(-6) - 4/a^4 + 8/a^2 - a^2 + 2*a^4 - 
   8*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 9054] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 4*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9055] -> 
  -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9056] -> 4 - 2/a^2 - a^4 + 8*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 9057] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 9058] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 9059] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 
   3/a^2 + 5*z^2 - z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9060] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + 
   10*a^2*z^2 - 12*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   19*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9061] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (7*z^2)/a^14 - (5*z^2)/a^12 + (16*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^4)/a^14 + (4*z^4)/a^12 + (20*z^4)/a^10 + (11*z^4)/a^8 + 
   z^4/a^6 + (4*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9062] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - 
   (3*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 9063] -> 2/a^16 - 5/a^14 + a^(-12) + 
   a^(-10) + 2/a^8 + z^2/a^16 - (11*z^2)/a^14 + (5*z^2)/a^12 + (9*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + (9*z^4)/a^12 + (15*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 9064] -> a^(-12) - 5/a^10 + 5/a^8 - 
   a^(-6) + a^(-4) + z^2/a^12 - (6*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 9065] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9066] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) - z^2/a^12 + (7*z^2)/a^10 - 
   (12*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9067] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 + 
   z^2 + z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 9068] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9069] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 5*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9070] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9071] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^4 - a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9072] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9073] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + (5*z^4)/a^2 + 
   27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9074] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9075] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9076] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9077] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9078] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 9079] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 - 
   z^2/a^6 - (11*z^2)/a^4 + (28*z^2)/a^2 - 13*z^4 - (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (31*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 9080] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 9081] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9082] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4/a^8 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 9083] -> -a^(-6) - a^(-4) + 4/a^2 - a^2 + z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9084] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (7*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   z^6/a^12 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 9085] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (3*z^2)/a^16 - (18*z^2)/a^14 + (6*z^2)/a^12 + (21*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (17*z^4)/a^12 + (33*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 9086] -> 
  -a^(-12) + 2/a^6 + (9*z^2)/a^6 + (6*z^4)/a^12 - (6*z^4)/a^10 - 
   (6*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^12 - (11*z^6)/a^10 - (11*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 9087] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + z^2/a^12 - (2*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 9088] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 9089] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (3*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9090] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (16*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - (4*z^4)/a^12 + (18*z^4)/a^10 - (15*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^6)/a^10 - (11*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 9091] -> a^(-16) - 2/a^14 - 3/a^12 + 
   4/a^10 + a^(-8) + z^2/a^16 - (7*z^2)/a^14 - (4*z^2)/a^12 + (17*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + (3*z^4)/a^12 + (20*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 9092] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (16*z^4)/a^6 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9093] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 - (3*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - (25*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9094] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + 
   (8*z^2)/a^10 - (12*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (3*z^4)/a^10 - (12*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9095] -> -3 + 2/a^2 + a^2 + 3*a^4 - 3*a^6 + a^8 - 
   6*z^2 + (2*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9096] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 9*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9097] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9098] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9099] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + 
   (3*z^2)/a^16 - (17*z^2)/a^14 + (7*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (15*z^4)/a^12 + (30*z^4)/a^10 + 
   (6*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 9100] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 9101] -> 
  2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9102] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 9103] -> 
  a^(-2) - a^2 + a^4 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 9104] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 9105] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9106] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9107] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9108] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 9109] -> 
  a^(-8) - a^(-6) + a^(-4) - a^(-2) + a^4 + z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 9110] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 10*a^2*z^2 - 19*a^4*z^2 + 
   17*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 24*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9111] -> 2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9112] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 4*z^4 + z^4/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9113] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^2)/a^4 - (8*z^4)/a^8 + (17*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 9114] -> -2 + 7*a^2 - 5*a^4 + a^6 - 8*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9115] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 9116] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9117] -> -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 
   9*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9118] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9119] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 + a^2*z^2 - 
   6*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9120] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9121] -> a^2 + 2*a^4 - 2*a^6 - 2*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 2*a^4*z^2 - 6*a^8*z^2 + 4*a^10*z^2 - z^4 + a^4*z^4 + a^6*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 9122] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 - (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 9123] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + 
   a^6 - 11*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9124] -> 
  -3 - 2/a^6 + 6/a^2 - 9*z^2 - (6*z^2)/a^6 + (5*z^2)/a^4 + (16*z^2)/a^2 - 
   10*z^4 - (7*z^4)/a^6 + (10*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 9125] -> 
  a^(-12) - 2/a^10 - a^(-8) + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (4*z^4)/a^8 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9126] -> 3 - a^(-8) + 3/a^4 - 3/a^2 - a^2 + 6*z^2 - 
   z^2/a^8 + (8*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9127] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 - z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9128] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (12*z^2)/a^2 - 9*z^4 - (8*z^4)/a^6 + (12*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 9129] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + (8*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 9130] -> 
  3 - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9131] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 9132] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9133] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^10 + (2*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9134] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 9135] -> 1 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (8*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9136] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 9137] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 9138] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9139] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 9140] -> 
  1 + 2/a^6 - 3/a^4 + a^(-2) - a^2 + a^4 - 3*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9141] -> -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 5*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 9142] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 3*z^2 + z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9143] -> 2 + a^(-10) - 3/a^8 + 2/a^6 + 2/a^4 - 3/a^2 + 
   3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9144] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 9145] -> -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - 
   2*z^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 - z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 9146] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9147] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 21*z^2 + (6*z^2)/a^2 + 24*a^2*z^2 - 
   7*a^4*z^2 - 27*z^4 - z^4/a^4 + (10*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 
   18*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9148] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9149] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9150] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9151] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9152] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + (6*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9153] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 + 
   a^2*z^4 - 10*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9154] -> 2/a^16 - 3/a^14 - 3/a^12 + 3/a^10 + 2/a^8 + 
   (3*z^2)/a^16 - (13*z^2)/a^14 + z^2/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + 
   z^4/a^16 - (12*z^4)/a^14 + (11*z^4)/a^12 + (16*z^4)/a^10 + (12*z^4)/a^8 - 
   (3*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 9155] -> 
  a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 4/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (3*z^2)/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 9156] -> 
  1 - 3/a^2 + 9*a^2 - 6*a^4 + 6*z^2 - (10*z^2)/a^2 + 30*a^2*z^2 - 
   17*a^4*z^2 + 17*z^4 - (12*z^4)/a^2 + 39*a^2*z^4 - 17*a^4*z^4 + 17*z^6 - 
   (6*z^6)/a^2 + 25*a^2*z^6 - 7*a^4*z^6 + 7*z^8 - z^8/a^2 + 8*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 9157] -> 
  2 - a^(-4) - a^(-2) + 5*a^2 - 4*a^4 + 12*z^2 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 18*z^4 - (3*z^4)/a^4 + z^4/a^2 + 10*a^2*z^4 - 
   5*a^4*z^4 + 10*z^6 - z^6/a^4 + (3*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 9158] -> 
  3 - 2/a^4 + a^(-2) + a^2 - 2*a^4 + 9*z^2 - (5*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 14*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 9159] -> 
  -1 - a^(-6) + 2/a^2 + 3*a^2 - 2*a^4 + 2*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[14, Alternating, 9160] -> 2 - a^(-2) + a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9161] -> 2 - a^(-2) + a^2 - a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9162] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9163] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9164] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9165] -> 2 - 3/a^2 + 7*a^2 - 5*a^4 + 6*z^2 - 
   (8*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 13*z^4 - (9*z^4)/a^2 + 
   30*a^2*z^4 - 13*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 
   6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 9166] -> 3 - a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + 8*z^2 - 
   (3*z^2)/a^4 + 8*a^2*z^2 - 6*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 9167] -> 
  a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (5*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (2*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 9168] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 9169] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9170] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4/a^10 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9171] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 9*z^2 + z^2/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 9172] -> -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - z^2/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 9173] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9174] -> 3 - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9175] -> 3 - 3/a^2 + 5*a^2 - 4*a^4 + 3*z^2 - 
   (6*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 9*z^4 - (8*z^4)/a^2 + 30*a^2*z^4 - 
   13*a^4*z^4 + 12*z^6 - (5*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 9176] -> 1 - a^(-4) + 4*a^2 - 3*a^4 + 7*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 12*z^4 - (2*z^4)/a^4 - 
   z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 9177] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9178] -> 1 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9179] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9180] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9181] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9182] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9183] -> -a^(-8) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^10 - (6*z^4)/a^8 + (11*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9184] -> -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 18*z^2 + 
   (5*z^2)/a^2 + 25*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   28*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9185] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9186] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 5*z^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 7*z^4 + 23*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9187] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9188] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 14*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9189] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9190] -> 
  2/a^16 - 5/a^14 + 3/a^12 - 2/a^10 + 2/a^8 + a^(-6) + z^2/a^16 - 
   (9*z^2)/a^14 + (7*z^2)/a^12 + (6*z^2)/a^8 + (4*z^2)/a^6 - (3*z^4)/a^14 + 
   (7*z^4)/a^12 + (5*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^12 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 9191] -> 
  a^(-16) - 2/a^14 + 2/a^6 - (3*z^2)/a^14 + (3*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 9192] -> 
  5 - 3/a^2 - 2*a^2 + 4*a^4 - 3*a^6 + 11*z^2 - (7*z^2)/a^2 + 11*a^4*z^2 - 
   7*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 + 6*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 + 
   6*z^6 - z^6/a^2 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 9193] -> 2 - a^(-4) + 2*a^4 - 2*a^6 + 
   5*z^2 - (2*z^2)/a^4 + 4*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 9194] -> 
  1 - a^(-6) + a^(-4) + a^4 - a^6 + 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4, Knot[14, Alternating, 9195] -> 2 - a^(-2) + a^2 - a^4 - 2*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + z^4 - (4*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 9196] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 9197] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 12*z^2 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (25*z^2)/a^2 - 13*z^4 - (8*z^4)/a^6 + 
   (7*z^4)/a^4 + (30*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 9198] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 
   5/a^2 - 5*z^2 - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (9*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 9199] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 9200] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   3*z^2 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9201] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + 
   (3*z^2)/a^16 - (16*z^2)/a^14 + (7*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (17*z^4)/a^12 + (21*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 9202] -> 
  -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 - 12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   21*a^2*z^2 - 8*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9203] -> -2 + 6*a^2 - 3*a^4 - 18*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9204] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 26*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 - 33*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9205] -> 1 - a^(-6) + 2/a^4 - 2/a^2 + 3*a^2 - 
   2*a^4 - z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 9206] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 9207] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9208] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9209] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + z^4/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9210] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9211] -> a^2 + a^4 - a^6 - z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9212] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 - 9*z^4 - (4*z^4)/a^6 - (2*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 9213] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9214] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 9215] -> -a^(-4) + 2/a^2 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^8 + z^4/a^6 - (20*z^4)/a^4 + 
   (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 9216] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9217] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9218] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9219] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + 
   z^2/a^16 - (6*z^2)/a^14 - (5*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (2*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9220] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9221] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9222] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9223] -> 2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9224] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9225] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 14*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9226] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9227] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 
   5*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9228] -> 
  2 - a^2 - a^4 + a^6 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - 
   z^4/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9229] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9230] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9231] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9232] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 9233] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9234] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   4*z^2 + 12*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   21*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9235] -> 1 - a^2 + 2*a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9236] -> 2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9237] -> 4*a^4 - 3*a^6 - a^8 + a^10 - 2*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9238] -> 1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + z^2 + 
   4*a^2*z^2 - 17*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   24*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9239] -> 2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 14*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9240] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9241] -> 
  3 - a^(-2) - a^2 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9242] -> -4 - 5/a^4 + 10/a^2 - 12*z^2 - (12*z^2)/a^4 + 
   (29*z^2)/a^2 - 13*z^4 - (4*z^4)/a^6 - (5*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - 
   (4*z^6)/a^6 + (6*z^6)/a^4 + (21*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 9243] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (6*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 9244] -> 
  4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 10*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 9245] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 9246] -> a^(-16) - 2/a^14 - 2/a^10 + 
   4/a^8 + z^2/a^16 - (6*z^2)/a^14 + (3*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - 
   (4*z^4)/a^14 + (4*z^4)/a^12 + (10*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9247] -> 2/a^16 - 5/a^14 + 2/a^12 + a^(-8) + a^(-6) + 
   z^2/a^16 - (9*z^2)/a^14 + (5*z^2)/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^4)/a^14 + (7*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9248] -> 3 - a^(-4) - 2*a^2 + 3*a^4 - 2*a^6 + 5*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9249] -> 1 - 2/a^4 + 3/a^2 - 3*a^2 + 4*a^4 - 2*a^6 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9250] -> -1 - a^(-6) + a^(-4) + a^(-2) + a^2 + a^4 - 
   a^6 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 9251] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9252] -> 3 - a^(-6) + a^(-2) - 2*a^2 + 6*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9253] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 9254] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 9255] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9256] -> 
  2/a^16 - 6/a^14 + 4/a^12 - a^(-10) + a^(-8) + a^(-6) + z^2/a^16 - 
   (10*z^2)/a^14 + (8*z^2)/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^4)/a^14 + (8*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9257] -> 1 - a^(-4) + a^(-2) - a^2 + 3*a^4 - 2*a^6 - 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 
   3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9258] -> -1 + a^2 + 3*a^4 - a^6 - a^8 + z^2 - 
   z^2/a^2 + a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9259] -> 
  -4 - 2/a^4 + 5/a^2 + a^2 + 3*a^4 - 2*a^6 - 7*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9260] -> 
  -a^(-6) + 2/a^4 - a^(-2) + a^2 + a^4 - a^6 - 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 9261] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   2*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9262] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9263] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 9264] -> 1 + z^2 - z^2/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9265] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   5*z^4 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 9266] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 9267] -> 1 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 - (2*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 9268] -> a^(-10) - 7/a^8 + 9/a^6 - 
   2/a^4 - (2*z^2)/a^10 - (10*z^2)/a^8 + (28*z^2)/a^6 - (9*z^2)/a^4 - 
   (7*z^4)/a^10 + (3*z^4)/a^8 + (32*z^4)/a^6 - (12*z^4)/a^4 - (5*z^6)/a^10 + 
   (11*z^6)/a^8 + (20*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 9269] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^10 + (2*z^4)/a^8 + 
   (12*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9270] -> -3 - 2/a^4 + 5/a^2 + a^2 - 14*z^2 - z^2/a^4 + 
   (10*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 + (4*z^4)/a^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 9271] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 9272] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 27*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9273] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9274] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (19*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9275] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9276] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 7*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 7*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 9277] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9278] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9279] -> a^(-4) - a^(-2) + a^2 + z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 9280] -> 
  -1 + a^(-4) - 2*a^2 + 5*a^4 - 2*a^6 - 3*z^2 + z^2/a^4 - 7*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9281] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9282] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 11*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 
   19*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9283] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 9284] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   15*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + 
   (4*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9285] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 
   4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   5*z^4 + z^4/a^4 - (6*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9286] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9287] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9288] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 6*z^2 - (3*z^2)/a^4 - z^2/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 9289] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 7*z^2 + z^2/a^2 + 15*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9290] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 
   5*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9291] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9292] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9293] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   8*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9294] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9295] -> 
  -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 + z^2 - 2*a^2*z^2 + a^4*z^2 + 
   12*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 9296] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + (3*z^2)/a^10 - (22*z^2)/a^8 + 
   (33*z^2)/a^6 - (9*z^2)/a^4 - (3*z^4)/a^10 - (10*z^4)/a^8 + (36*z^4)/a^6 - 
   (12*z^4)/a^4 - (4*z^6)/a^10 + (5*z^6)/a^8 + (21*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 9297] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 - 
   z^4/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9298] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (11*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 + 
   (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9299] -> -2/a^6 + 3/a^4 - z^2 - z^2/a^10 + z^2/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 9300] -> 2/a^16 - 5/a^14 + a^(-12) + 2/a^10 + a^(-6) + 
   z^2/a^16 - (9*z^2)/a^14 + (4*z^2)/a^12 + (8*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^4)/a^14 + (6*z^4)/a^12 + (10*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9301] -> a^(-16) - 2/a^14 - a^(-12) + a^(-10) + 
   a^(-8) + a^(-6) - (3*z^2)/a^14 - z^2/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 9302] -> 
  2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9303] -> 5 - a^(-4) - 4*a^2 + a^4 + 6*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9304] -> a^(-10) - 5/a^8 + 5/a^6 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^4 - z^2/a^2 - z^4/a^10 - (5*z^4)/a^8 + (18*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9305] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9306] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 9307] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9308] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 9309] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (6*z^2)/a^14 - (3*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (3*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9310] -> 2/a^16 - 6/a^14 + 3/a^12 + a^(-10) + a^(-6) + 
   z^2/a^16 - (10*z^2)/a^14 + (7*z^2)/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^4)/a^14 + (8*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9311] -> a^(-14) - 4/a^12 + 3/a^10 + a^(-8) - a^(-6) + 
   a^(-2) - (4*z^2)/a^12 + (8*z^2)/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (5*z^4)/a^10 - z^4/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9312] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 9313] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 
   2*a^4 - 16*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   24*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 9314] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9315] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - a^2 + 2*a^4 - a^6 + 6*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 9316] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 5*z^2 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9317] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9318] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9319] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - 
   a^(-2) - z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9320] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2 - z^2/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 + (5*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 9321] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   z^2/a^8 - (2*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 9322] -> 1 - z^2/a^8 + z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   z^4/a^8 + (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 9323] -> 
  2/a^16 - 7/a^14 + 5/a^12 + a^(-6) + z^2/a^16 - (10*z^2)/a^14 + 
   (10*z^2)/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (3*z^4)/a^14 + 
   (8*z^4)/a^12 + (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^12 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 9324] -> 
  a^(-16) - 3/a^14 + 2/a^10 + a^(-6) - (3*z^2)/a^14 + z^2/a^12 + 
   (5*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 9325] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) + a^(-2) - 
   (3*z^2)/a^12 + (6*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[14, Alternating, 9326] -> 
  2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9327] -> 2 - a^(-2) + a^2 - a^4 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 9328] -> -1 - a^(-6) + 2/a^4 + 2*a^4 - a^6 - 5*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 9329] -> a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 + a^4 - 
   2*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[14, Alternating, 9330] -> -1 + a^(-4) + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - z^4/a^4 + z^4/a^2 - a^2*z^4 - 
   3*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[14, Alternating, 9331] -> 
  1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 
   z^4/a^2 - 4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 9332] -> a^4 + a^6 - a^8 + a^10 - a^12 + 3*a^2*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - z^4 + a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[14, Alternating, 9333] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9334] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9335] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (6*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 9336] -> 
  -3/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9337] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9338] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9339] -> 
  4*a^4 - 4*a^6 + a^8 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 
   2*a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 10*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9340] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 
   z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9341] -> -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 6*z^2 + 
   z^2/a^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9342] -> 
  2 - 3*a^4 + a^6 + 2*a^8 - a^10 + z^2 + a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 
   4*a^8*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 + z^6 + 
   3*a^2*z^6 + 2*a^4*z^6, Knot[14, Alternating, 9343] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 - z^2/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 + 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 9344] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 9345] -> 
  -8 - 5/a^4 + 12/a^2 + 2*a^2 - 26*z^2 - (6*z^2)/a^4 + (26*z^2)/a^2 + 
   9*a^2*z^2 - 31*z^4 + (2*z^4)/a^4 + (14*z^4)/a^2 + 12*a^2*z^4 - 20*z^6 + 
   (4*z^6)/a^4 - (4*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 9346] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 8*z^4 + z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 + z^6/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 9347] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9348] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 26*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (26*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (33*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9349] -> -6 + a^(-8) - 2/a^6 + 2/a^4 + 2/a^2 + 4*a^2 - 
   13*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 9350] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 
   3*a^2 + 2*a^4 + 2*z^2 - (5*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9351] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 23*a^2*z^2 - 26*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 32*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9352] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9353] -> -7 + 2/a^6 - 4/a^4 + 6/a^2 + 4*a^2 - 19*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9354] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9355] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + 
   a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9356] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 9357] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 
   8/a^2 - 9*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + (27*z^2)/a^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9358] -> 
  -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 4*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 14*a^4*z^4 + 20*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9359] -> a^4 + 2*a^6 - 2*a^8 - z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 9360] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9361] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 
   2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9362] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9363] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 
   9/a^2 - 9*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + (28*z^2)/a^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9364] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (17*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (24*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 9365] -> 2 + 2/a^6 - 3/a^4 + a^(-2) - 
   3*a^2 + 2*a^4 + 4*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 + z^4/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 9366] -> 
  a^(-8) - a^(-6) + a^(-2) - 2*a^2 + 2*a^4 - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 9367] -> 2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^4 - z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 9368] -> 2*a^6 - 2*a^8 + 6*a^10 - 7*a^12 + 
   2*a^14 + 8*a^6*z^2 - 6*a^8*z^2 + 18*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 
   2*a^4*z^4 + 6*a^6*z^4 - 8*a^8*z^4 + 18*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - 
   a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 9369] -> a^4 + 5*a^6 - 10*a^8 + 7*a^10 - 2*a^12 + 
   2*a^4*z^2 + 14*a^6*z^2 - 26*a^8*z^2 + 17*a^10*z^2 - 3*a^12*z^2 - 
   3*a^4*z^4 + 18*a^6*z^4 - 30*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   14*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 9370] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - 
   a^12 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 9371] -> a^2 + a^4 - a^6 - 3*z^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 17*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9372] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9373] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9374] -> 2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 
   4*a^4*z^2 + 7*a^6*z^2 - 16*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 9*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9375] -> -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 + 
   z^2/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9376] -> 1 - 4*a^4 + 8*a^6 - 4*a^8 + z^2 + 4*a^2*z^2 - 
   16*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 24*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9377] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 3*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9378] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 - z^2/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + (4*z^4)/a^4 + z^4/a^2 + 8*a^2*z^4 - 
   14*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 9379] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 9380] -> 
  2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 9381] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9382] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 9383] -> 
  -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 23*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   27*a^2*z^2 - 9*a^4*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 34*a^2*z^4 - 
   9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9384] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   10*a^2*z^2 - 4*a^4*z^2 - z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9385] -> a^2 - 2*a^4 + 8*a^6 - 9*a^8 + 3*a^10 + 
   4*a^2*z^2 - 12*a^4*z^2 + 27*a^6*z^2 - 24*a^8*z^2 + 7*a^10*z^2 + 
   4*a^2*z^4 - 19*a^4*z^4 + 32*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 9386] -> 
  a^2 + 3*a^6 - 5*a^8 + 2*a^10 + z^2 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 
   7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9387] -> 
  -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 15*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9388] -> 1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) - 
   2*a^2 + 2*a^4 + 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 9389] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   17*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9390] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9391] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9392] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9393] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9394] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - a^2*z^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9395] -> 
  a^(-4) - a^(-2) + a^2 - 10*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 6*a^2*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 9396] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (20*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 9397] -> 3 - 5*a^2 + 4*a^4 - a^6 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9398] -> 
  -6 + 2/a^6 - 3/a^4 + 4/a^2 + 4*a^2 - 23*z^2 + (7*z^2)/a^6 - (19*z^2)/a^4 + 
   (20*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + (5*z^4)/a^6 - (25*z^4)/a^4 + 
   (29*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - (12*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9399] -> -2 + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 2*a^4 - 
   2*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9400] -> -5 + a^(-8) - a^(-6) + a^(-4) + a^(-2) + 
   4*a^2 - 12*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 + z^4/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 9401] -> -1 + a^(-8) - a^(-6) + a^(-4) - 
   a^2 + 2*a^4 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 - 4*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^6 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 9402] -> -2 + 6*a^2 - 3*a^4 - 18*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9403] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9404] -> 
  4*a^4 - 4*a^6 + a^8 + 4*a^4*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9405] -> 6*a^6 - 7*a^8 + 2*a^10 + a^2*z^2 - 
   5*a^4*z^2 + 20*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 4*a^2*z^4 - 
   15*a^4*z^4 + 26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9406] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9407] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9408] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - z^2/a^2 + 
   a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9409] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9410] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (22*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (16*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9411] -> 1 - 6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 
   5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 9412] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 22*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9413] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9414] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 9415] -> 
  4 + a^(-4) - 3/a^2 - a^2 + z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9416] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9417] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 5*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 20*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9418] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 + 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9419] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9420] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 17*z^2 + (7*z^2)/a^6 - (22*z^2)/a^4 + 
   (24*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (8*z^4)/a^6 - (31*z^4)/a^4 + 
   (31*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9421] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9422] -> 
  a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   10*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9423] -> 1 - 7*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9424] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + 12*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9425] -> 
  8*a^6 - 13*a^8 + 8*a^10 - 2*a^12 - 4*a^4*z^2 + 28*a^6*z^2 - 35*a^8*z^2 + 
   18*a^10*z^2 - 3*a^12*z^2 - 8*a^4*z^4 + 34*a^6*z^4 - 36*a^8*z^4 + 
   13*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 21*a^6*z^6 - 17*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 9426] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (16*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 9427] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 
   2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 9428] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 
   9*a^4*z^2 + 14*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9429] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 
   17*a^6*z^2 - 23*a^8*z^2 + 15*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 
   21*a^6*z^4 - 27*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 9430] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   z^2/a^8 + (15*z^2)/a^6 - (25*z^2)/a^4 + (12*z^2)/a^2 + (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (33*z^4)/a^4 + (13*z^4)/a^2 + (4*z^6)/a^8 - (6*z^6)/a^6 - 
   (21*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 9431] -> 
  2 - 3/a^8 + 8/a^6 - 6/a^4 + 5*z^2 - z^2/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - (16*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9432] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 15*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9433] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + z^4/a^4 - z^4/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 + z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, Alternating, 9434] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + z^6 + z^6/a^8 - (13*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9435] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9436] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9437] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^8 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9438] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 9439] -> 
  2*a^4 - a^8 + z^2 - z^2/a^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9440] -> 
  1 + 2/a^6 - 3/a^4 + a^(-2) - a^2 + a^4 + 2*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9441] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 6*z^2 + z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 - 4*z^4 + z^4/a^4 + z^4/a^2 + a^2*z^4 + 5*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[14, Alternating, 9442] -> 
  2*a^6 - a^8 + 4*a^10 - 6*a^12 + 2*a^14 + 7*a^6*z^2 - 3*a^8*z^2 + 
   14*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 + 
   16*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - a^6*z^6 - 6*a^8*z^6 + 5*a^10*z^6 - 
   a^6*z^8 - 2*a^8*z^8, Knot[14, Alternating, 9443] -> 
  3*a^6 - 2*a^8 + 2*a^10 - 3*a^12 + a^14 + a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   5*a^10*z^2 - 4*a^12*z^2 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 5*a^10*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6, Knot[14, Alternating, 9444] -> 
  3*a^4 - a^6 - 4*a^8 + 5*a^10 - 2*a^12 + 5*a^4*z^2 + 3*a^6*z^2 - 
   13*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 9445] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 5*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9446] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + a^4*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - z^4 - 5*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, Alternating, 9447] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9448] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 9449] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 9450] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 + a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9451] -> 
  1 + a^(-4) - a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 8*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9452] -> 1 + a^4 - 3*a^6 + 3*a^8 - a^10 - z^2 + 
   3*a^2*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - z^4 - z^4/a^2 + 4*a^2*z^4 - 
   5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, Alternating, 9453] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 9454] -> 
  2/a^6 - 3/a^4 + 2/a^2 - 2*a^2 + 2*a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9455] -> 
  -3 + 8*a^2 - 4*a^4 - 15*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 21*a^2*z^2 - 
   7*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9456] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9457] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 9458] -> 2 - 2*a^2 + 2*a^4 - 3*a^6 + 3*a^8 - a^10 + 
   z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 - 
   3*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 9459] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 2*z^2 + 
   (2*z^2)/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 9460] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 9461] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9462] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 - a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9463] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 
   4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9464] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 9465] -> -1 + a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9466] -> 
  3*a^4 - 6*a^8 + 6*a^10 - 2*a^12 - 2*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 
   13*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 3*a^6*z^4 - 
   11*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9467] -> 
  2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 3*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (16*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9468] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   13*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 21*z^4 + 
   (6*z^4)/a^2 + 25*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9469] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 - z^2 + 
   13*a^2*z^2 - 27*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 
   32*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9470] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9471] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   z^2/a^12 + (4*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 9472] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 + (9*z^2)/a^10 - (18*z^2)/a^8 + 
   (6*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (21*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 9473] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 2/a^4 + 
   a^(-2) + (6*z^2)/a^10 - (7*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9474] -> 2/a^12 - 5/a^10 + 3/a^8 - a^(-6) + 2/a^4 + 
   (3*z^2)/a^12 - (7*z^2)/a^10 + (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 9475] -> 
  a^(-12) - 2/a^10 + a^(-6) + a^(-2) + z^2/a^12 - z^2/a^10 - z^2/a^8 + 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9476] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (4*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 9477] -> 
  3 - 4*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9478] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 + 
   2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 9479] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - (2*z^2)/a^12 + (12*z^2)/a^10 - (17*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (9*z^4)/a^10 - (21*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 9480] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^6 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9481] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + z^4 + z^4/a^10 - (5*z^4)/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9482] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9483] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + (4*z^2)/a^10 - (4*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 9484] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 4*z^2 - (2*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 9485] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + 
   a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 9486] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 9487] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 + 
   4*z^2 - (8*z^2)/a^4 + (15*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9488] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9489] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^2 - a^4 + 
   a^6 - 2*z^2 - (5*z^2)/a^4 + (5*z^2)/a^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 9490] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (10*z^2)/a^10 - (19*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (6*z^4)/a^10 - (24*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 9491] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^12 + (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 9492] -> 
  2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9493] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9494] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 9495] -> 
  a^2 + a^6 - a^8 + 2*z^2 - a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 
   5*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9496] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 9497] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9498] -> 
  4*a^2 - 6*a^4 + 2*a^6 + 3*a^8 - 2*a^10 + 7*a^2*z^2 - 10*a^4*z^2 - 
   2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 6*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - z^6 + 3*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 9499] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9500] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9501] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9502] -> -4 + a^(-2) + 10*a^2 - 9*a^4 + 
   3*a^6 - 15*z^2 + (3*z^2)/a^2 + 28*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9503] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9504] -> 2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 
   5*a^4*z^2 + 2*a^6*z^2 - 9*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9505] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 
   3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9506] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   8*z^4 + z^4/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9507] -> -3 + a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + a^2 + 
   a^4 - 7*z^2 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 9508] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9509] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   29*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 34*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9510] -> -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 
   13*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9511] -> 2*a^6 - 3*a^8 + 10*a^10 - 12*a^12 + 
   4*a^14 + 9*a^6*z^2 - 14*a^8*z^2 + 35*a^10*z^2 - 26*a^12*z^2 + 4*a^14*z^2 + 
   12*a^6*z^4 - 22*a^8*z^4 + 41*a^10*z^4 - 16*a^12*z^4 + a^14*z^4 + 
   6*a^6*z^6 - 18*a^8*z^6 + 19*a^10*z^6 - 3*a^12*z^6 + a^6*z^8 - 7*a^8*z^8 + 
   3*a^10*z^8 - a^8*z^10, Knot[14, Alternating, 9512] -> 
  2*a^6 + 2*a^10 - 5*a^12 + 2*a^14 + 2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 
   8*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 3*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 
   10*a^10*z^4 - 3*a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6 + 3*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[14, Alternating, 9513] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9514] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9515] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 9516] -> 2*a^6 + a^10 - 3*a^12 + a^14 + 
   2*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - 4*a^12*z^2 + a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 5*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   2*a^8*z^6, Knot[14, Alternating, 9517] -> 2*a^6 + a^10 - 3*a^12 + a^14 + 
   3*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + 6*a^10*z^2 - 5*a^12*z^2 + a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 7*a^10*z^4 - a^4*z^6 - 4*a^6*z^6 - 
   3*a^8*z^6, Knot[14, Alternating, 9518] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9519] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 
   4*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 9520] -> 1 - z^2/a^4 + z^2/a^2 + a^4*z^2 - 
   a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9521] -> 
  2*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 9522] -> 
  1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 
   z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9523] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 3*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 13*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9524] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 14*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9525] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9526] -> 4 - a^(-4) - 4*a^2 + 4*a^4 - 2*a^6 + 6*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9527] -> 5 - a^(-8) + 2/a^6 - a^(-4) - 2/a^2 - 2*a^2 + 
   10*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   9*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9528] -> 2*a^2 - 9*a^4 + 20*a^6 - 16*a^8 + 4*a^10 + 
   7*a^2*z^2 - 28*a^4*z^2 + 50*a^6*z^2 - 28*a^8*z^2 + 4*a^10*z^2 + 
   9*a^2*z^4 - 34*a^4*z^4 + 46*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   21*a^4*z^6 + 19*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 9529] -> a^2 - 4*a^4 + 11*a^6 - 9*a^8 + 
   2*a^10 + 3*a^2*z^2 - 11*a^4*z^2 + 24*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 
   z^4 + 2*a^2*z^4 - 12*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 
   7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9530] -> -6 - 2/a^4 + 6/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 
   11*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 
   8*z^4 - z^4/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9531] -> -1 - a^(-4) + 2/a^2 + 3*a^4 - 2*a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^4*z^2 - 3*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9532] -> 
  -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 4*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9533] -> 
  2*a^2 - 3*a^4 + 2*a^6 + 3*a^8 - 4*a^10 + a^12 + 4*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + z^4 + a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 
   5*a^8*z^4 - a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6, 
 Knot[14, Alternating, 9534] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9535] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9536] -> 
  2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9537] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 - z^2 + 
   7*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 
   23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9538] -> a^(-4) - a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (5*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9539] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 9540] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 
   2*a^6 + 2*z^2 - z^2/a^2 + 7*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9541] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 
   5*z^2 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9542] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9543] -> 
  2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9544] -> 4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 
   8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9545] -> -a^4 + 10*a^6 - 13*a^8 + 6*a^10 - a^12 - 
   4*a^4*z^2 + 25*a^6*z^2 - 25*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - a^2*z^4 - 
   4*a^4*z^4 + 24*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 12*a^6*z^6 - 
   6*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, Knot[14, Alternating, 9546] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9547] -> -6 + a^(-2) + 15*a^2 - 13*a^4 + 4*a^6 - 
   17*z^2 + (3*z^2)/a^2 + 36*a^2*z^2 - 30*a^4*z^2 + 8*a^6*z^2 - 19*z^4 + 
   (3*z^4)/a^2 + 38*a^2*z^4 - 28*a^4*z^4 + 5*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9548] -> -13 + 4/a^2 + 16*a^2 - 6*a^4 - 
   36*z^2 - z^2/a^4 + (13*z^2)/a^2 + 35*a^2*z^2 - 9*a^4*z^2 - 40*z^4 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9549] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   15*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9550] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   4*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9551] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9552] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9553] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9554] -> 
  -2 + a^(-2) + 2*a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 7*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 + 6*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 7*z^4 + z^4/a^2 + 
   6*a^2*z^4 + 6*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 9555] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9556] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9557] -> 
  -4 + 12*a^2 - 9*a^4 + 2*a^6 - 15*z^2 + (3*z^2)/a^2 + 29*a^2*z^2 - 
   17*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9558] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9559] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9560] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9561] -> 
  1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9562] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9563] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9564] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9565] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9566] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^4 + 
   a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9567] -> -1 + a^(-2) + a^2 - 11*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9568] -> 2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9569] -> 
  3 - a^(-2) - a^2 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9570] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 9571] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9572] -> -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, Alternating, 9573] -> 
  -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 4*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9574] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9575] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 
   4/a^4 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 9576] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (22*z^2)/a^8 + (33*z^2)/a^6 - (9*z^2)/a^4 - (3*z^4)/a^10 - 
   (10*z^4)/a^8 + (36*z^4)/a^6 - (12*z^4)/a^4 - (4*z^6)/a^10 + (5*z^6)/a^8 + 
   (21*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 9577] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9578] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9579] -> 
  -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 2*a^4 - 5*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9580] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 2*a^4 - 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - (2*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 9581] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*a^4 - 
   5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9582] -> 2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - a^(-2) + 
   z^2/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4/a^10 - (7*z^4)/a^8 + (21*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 9583] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9584] -> 
  2 + 2/a^6 - 3/a^4 + a^(-2) - 2*a^2 + a^6 + 4*z^2 + z^2/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 9585] -> a^(-8) - a^(-6) + a^(-2) - a^2 + a^6 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   z^4/a^4 + (3*z^4)/a^2 + a^2*z^4, Knot[14, Alternating, 9586] -> 
  2*a^2 - 2*a^4 + 4*a^8 - 4*a^10 + a^12 + 3*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 
   10*a^8*z^2 - 4*a^10*z^2 + z^4 - a^2*z^4 - 7*a^6*z^4 + 6*a^8*z^4 - 
   2*a^2*z^6 + a^4*z^6 - 4*a^6*z^6 + a^4*z^8, Knot[14, Alternating, 9587] -> 
  -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 + a^2*z^2 - 8*a^4*z^2 + 28*a^6*z^2 - 
   18*a^8*z^2 + 3*a^10*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 31*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9588] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 + 
   a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9589] -> 
  2*a^2 - a^4 + z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   4*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9590] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 9591] -> 3 - a^(-8) + 2/a^6 - a^(-4) - 
   a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9592] -> -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 9593] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 9594] -> 
  1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) - a^2 + a^6 - (3*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, Alternating, 9595] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9596] -> 1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - 
   a^10 - a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 9597] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 2*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9598] -> -2 + 2/a^6 - 3/a^4 + 3/a^2 + a^6 - 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 9599] -> -1 + a^(-8) - a^(-6) + a^(-4) + a^6 - 2*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4, Knot[14, Alternating, 9600] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + 4*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 
   z^4 - 3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9601] -> 
  3 - 4*a^2 + 2*a^4 + 2*z^2 - 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   2*z^4 + z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 9602] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9603] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9604] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9605] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9606] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 9607] -> 1 - a^(-6) + a^(-4) + a^(-2) - 
   2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9608] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   15*z^2 + z^2/a^4 + (2*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9609] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9610] -> 2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - 
   (14*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - 
   (9*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 9611] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + (3*z^2)/a^16 - (16*z^2)/a^14 + 
   (6*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (17*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 9612] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   16*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9613] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9614] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 4*z^2 + z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9615] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9616] -> 
  a^4 + 5*a^6 - 10*a^8 + 7*a^10 - 2*a^12 + 2*a^4*z^2 + 14*a^6*z^2 - 
   26*a^8*z^2 + 17*a^10*z^2 - 3*a^12*z^2 - 3*a^4*z^4 + 18*a^6*z^4 - 
   30*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 14*a^6*z^6 - 
   16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 9617] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9618] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 9619] -> -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 20*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (8*z^4)/a^6 - (29*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9620] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 7*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 9621] -> 4 + 2/a^6 - 3/a^4 - 4*a^2 + 
   2*a^4 + 8*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9622] -> 
  -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 + a^2*z^2 - 8*a^4*z^2 + 28*a^6*z^2 - 
   18*a^8*z^2 + 3*a^10*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 31*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9623] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 + 
   a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9624] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 7*z^2 + (2*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 9625] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - 
   2*a^2 + 2*a^4 + z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9626] -> 2*a^2 - a^4 + z^2 - a^8*z^2 + a^10*z^2 + 
   z^4 - 4*a^2*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9627] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9628] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   13*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + 
   (6*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9629] -> -7 + 2/a^6 - 4/a^4 + 6/a^2 + 4*a^2 - 19*z^2 + 
   (6*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (8*z^4)/a^6 - (30*z^4)/a^4 + (32*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9630] -> 
  -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*a^4 - z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9631] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (11*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 9632] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^10 - (15*z^2)/a^8 + (27*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^4)/a^10 - (3*z^4)/a^8 + (27*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 9633] -> 2 + 2/a^6 - 3/a^4 + a^(-2) - 3*a^2 + 2*a^4 + 
   5*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9634] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - 
   z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9635] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 9636] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 
   11*z^2 - (6*z^2)/a^6 + (3*z^2)/a^4 + (21*z^2)/a^2 - 11*z^4 - (7*z^4)/a^6 + 
   (9*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 9637] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 9638] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 9639] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 9640] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 - 2*z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 9641] -> 
  -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 3*z^2 + z^2/a^4 - 3*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 
   z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 9642] -> 
  1 + a^(-10) - 3/a^8 + 6/a^6 - 7/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9643] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 - 10*z^4 - (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (27*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 9644] -> 2/a^16 - 4/a^14 + a^(-12) - 2/a^10 + 4/a^8 + 
   (3*z^2)/a^16 - (12*z^2)/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 + 
   (12*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + (9*z^4)/a^12 + (12*z^4)/a^10 + 
   (13*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 9645] -> 
  2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 9646] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + z^2/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 + 
   (3*z^2)/a^4 + (2*z^4)/a^12 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 9647] -> 
  2/a^16 - 5/a^14 + 3/a^12 - 2/a^10 + 2/a^8 + a^(-6) + z^2/a^16 - 
   (9*z^2)/a^14 + (6*z^2)/a^12 + z^2/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^4)/a^14 + (7*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9648] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9649] -> 2/a^16 - 5/a^14 + 2/a^12 + a^(-8) + a^(-6) + 
   z^2/a^16 - (10*z^2)/a^14 + (6*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^4)/a^14 + (8*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 9650] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9651] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (23*z^2)/a^2 - 10*z^4 - (4*z^4)/a^6 - (3*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 9652] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 3*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 9653] -> 6 + 2/a^6 - 3/a^4 - a^(-2) - 5*a^2 + 2*a^4 + 
   11*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   9*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9654] -> -2/a^12 + 9/a^10 - 13/a^8 + 5/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (17*z^2)/a^10 - (28*z^2)/a^8 + (9*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 + (10*z^4)/a^10 - (27*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 9655] -> 3 - a^(-8) + 2/a^6 - a^(-4) - 
   a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9656] -> 2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 5*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9657] -> 
  1 - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - a^6 + z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 9658] -> 2/a^6 - 3/a^4 + a^(-2) + 2*a^2 - 
   2*a^4 + a^6 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, Alternating, 9659] -> 1 + 2/a^6 - 3/a^4 + a^(-2) - a^4 + 
   a^6 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 - z^2/a^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 9660] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^2 - a^4 + 
   a^6 - 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, Alternating, 9661] -> -4 + 2/a^6 - 3/a^4 + 3/a^2 + 
   3*a^2 - 16*z^2 + (7*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 
   14*z^4 + (8*z^4)/a^6 - (31*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 9662] -> 
  -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 2*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9663] -> 
  -2 + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 2*a^4 + z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9664] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 - 9*z^4 - (2*z^4)/a^6 - (6*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 9665] -> 
  -4 - 5/a^4 + 10/a^2 - 12*z^2 - (12*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - (4*z^6)/a^6 + 
   (6*z^6)/a^4 + (21*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 9666] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (6*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 9667] -> 
  2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9668] -> 2 + 2/a^6 - 3/a^4 + a^(-2) - 3*a^2 + 2*a^4 + 
   6*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   9*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9669] -> 2 + 2/a^6 - 3/a^4 + a^(-2) - 2*a^2 + a^6 + 
   4*z^2 + z^2/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 9670] -> 
  2/a^6 - 3/a^4 + 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9671] -> 
  2/a^6 - 3/a^4 + 2/a^2 - a^2 + a^6 + 2*z^2 + z^2/a^6 - (6*z^2)/a^4 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 9672] -> 
  -2 + 2/a^6 - 3/a^4 + 3/a^2 + a^6 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[14, Alternating, 9673] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - z^2/a^10 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 9674] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - (5*z^2)/a^8 + (6*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9675] -> 2 + 2/a^6 - 3/a^4 + a^(-2) - 2*a^2 + a^6 + 
   5*z^2 + z^2/a^6 - (6*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 
   z^4/a^6 - z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 9676] -> -18 - 4/a^4 + 14/a^2 + 12*a^2 - 3*a^4 - 
   45*z^2 - (4*z^2)/a^4 + (25*z^2)/a^2 + 34*a^2*z^2 - 9*a^4*z^2 - 42*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 38*a^2*z^4 - 10*a^4*z^4 - 18*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9677] -> -3 - 2/a^8 + 9/a^6 - 16/a^4 + 13/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + (29*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9678] -> 
  -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 26*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (40*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (36*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9679] -> -3 - 2/a^8 + 9/a^6 - 16/a^4 + 13/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + (29*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9680] -> 
  -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 26*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (40*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (36*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9681] -> -3 + 13*a^2 - 18*a^4 + 13*a^6 - 4*a^8 - 
   9*z^2 + 35*a^2*z^2 - 44*a^4*z^2 + 25*a^6*z^2 - 4*a^8*z^2 - 10*z^4 + 
   38*a^2*z^4 - 42*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 
   18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9682] -> -4 - 2/a^8 + 9/a^6 - 17/a^4 + 15/a^2 - 
   10*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (40*z^2)/a^4 + (36*z^2)/a^2 - 
   10*z^4 - z^4/a^8 + (13*z^4)/a^6 - (38*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (17*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9683] -> 
  5 - 2/a^8 + 7/a^6 - 8/a^4 + a^(-2) - 2*a^2 + 9*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9684] -> -4 + 14*a^2 - 16*a^4 + 10*a^6 - 3*a^8 - 
   8*z^2 + 31*a^2*z^2 - 38*a^4*z^2 + 25*a^6*z^2 - 6*a^8*z^2 - 5*z^4 + 
   28*a^2*z^4 - 39*a^4*z^4 + 24*a^6*z^4 - 4*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   22*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 9685] -> 4/a^10 - 16/a^8 + 19/a^6 - 
   7/a^4 + a^(-2) + (4*z^2)/a^10 - (28*z^2)/a^8 + (48*z^2)/a^6 - 
   (23*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + (45*z^4)/a^6 - 
   (30*z^4)/a^4 + (8*z^4)/a^2 - (3*z^6)/a^8 + (19*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9686] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + 
   z^2 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9687] -> -21 + 4/a^6 - 20/a^4 + 33/a^2 + 5*a^2 - 
   47*z^2 + (4*z^2)/a^6 - (30*z^2)/a^4 + (64*z^2)/a^2 + 12*a^2*z^2 - 44*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (50*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - 
   (3*z^6)/a^4 + (19*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 9688] -> 5 - 2/a^2 - 7*a^4 + 8*a^6 - 3*a^8 + 
   9*z^2 - (3*z^2)/a^2 - a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 
   7*z^4 - z^4/a^2 - 3*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9689] -> -16 - 4/a^4 + 12/a^2 + 14*a^2 - 5*a^4 - 
   39*z^2 - (8*z^2)/a^4 + (29*z^2)/a^2 + 32*a^2*z^2 - 9*a^4*z^2 - 39*z^4 - 
   (5*z^4)/a^4 + (28*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9690] -> -3 + 12*a^2 - 16*a^4 + 12*a^6 - 
   4*a^8 - 8*z^2 + 32*a^2*z^2 - 40*a^4*z^2 + 24*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 
   35*a^2*z^4 - 40*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 
   18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9691] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   5*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9692] -> -6*a^4 + 19*a^6 - 15*a^8 + 3*a^10 - 
   17*a^4*z^2 + 49*a^6*z^2 - 22*a^8*z^2 - a^10*z^2 - 17*a^4*z^4 + 
   50*a^6*z^4 - 3*a^8*z^4 - 7*a^10*z^4 - 7*a^4*z^6 + 27*a^6*z^6 + 
   10*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 9693] -> 
  -2*a^2 + 3*a^4 + 5*a^6 - 6*a^8 + a^10 - 5*a^2*z^2 + 7*a^4*z^2 + 
   14*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 16*a^6*z^4 + 
   a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 9694] -> 
  -8*a^4 + 28*a^6 - 29*a^8 + 12*a^10 - 2*a^12 - 20*a^4*z^2 + 64*a^6*z^2 - 
   45*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 18*a^4*z^4 + 59*a^6*z^4 - 
   19*a^8*z^4 - 2*a^10*z^4 - 7*a^4*z^6 + 29*a^6*z^6 + 4*a^8*z^6 - 
   4*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 9695] -> -4*a^2 + 12*a^4 - 9*a^6 + 3*a^8 - 
   a^10 - 8*a^2*z^2 + 22*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - 
   5*a^2*z^4 + 16*a^4*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 9696] -> -15 - 4/a^4 + 12/a^2 + 12*a^2 - 4*a^4 - 
   36*z^2 - (8*z^2)/a^4 + (28*z^2)/a^2 + 28*a^2*z^2 - 8*a^4*z^2 - 36*z^4 - 
   (5*z^4)/a^4 + (27*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9697] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - 
   a^6 - 7*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 5*z^4 - z^4/a^4 + (7*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9698] -> 6*a^2 - 13*a^4 + 15*a^6 - 10*a^8 + 3*a^10 + 
   11*a^2*z^2 - 31*a^4*z^2 + 35*a^6*z^2 - 24*a^8*z^2 + 7*a^10*z^2 + 
   6*a^2*z^4 - 30*a^4*z^4 + 34*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   13*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 9699] -> 
  2 - a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 2*a^10 + 3*z^2 - 5*a^2*z^2 - 3*a^4*z^2 + 
   8*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 6*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9700] -> 
  4 - 8*a^2 + 9*a^4 - 5*a^6 + a^10 + 4*z^2 - 14*a^2*z^2 + 14*a^4*z^2 - 
   7*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + z^4 - 9*a^2*z^4 + 9*a^4*z^4 - 
   2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9701] -> 
  2/a^14 - 9/a^12 + 14/a^10 - 12/a^8 + 6/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (29*z^2)/a^10 - (28*z^2)/a^8 + (17*z^2)/a^6 + (17*z^4)/a^10 - 
   (29*z^4)/a^8 + (17*z^4)/a^6 + (4*z^6)/a^12 - (3*z^6)/a^10 - (19*z^6)/a^8 + 
   (7*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 9702] -> 
  a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - a^(-6) + 2/a^4 - (3*z^2)/a^12 + 
   (7*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 9703] -> 
  a^(-12) - 6/a^10 + 10/a^8 - 8/a^6 + 4/a^4 + z^2/a^12 - (7*z^2)/a^10 + 
   (17*z^2)/a^8 - (14*z^2)/a^6 + (8*z^2)/a^4 + (2*z^4)/a^12 - (4*z^4)/a^10 + 
   (8*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 9704] -> 5 - 2/a^2 - 2*a^2 + 6*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 - z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9705] -> -1 + a^(-2) + a^2 - 12*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9706] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9707] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 30*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   26*a^2*z^2 - 8*a^4*z^2 - 33*z^4 - z^4/a^4 + (12*z^4)/a^2 + 35*a^2*z^4 - 
   10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9708] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9709] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9710] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + 
   a^6 - 3*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9711] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 30*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 - 33*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9712] -> 2 - a^(-2) + a^2 - a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9713] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9714] -> 1 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9715] -> -1 - a^(-6) + 2/a^4 + a^2 - 10*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9716] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 9717] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   4*z^4 + 13*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9718] -> a^(-2) - a^2 + a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 19*z^4 - (5*z^4)/a^4 + 
   (17*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9719] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9720] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9721] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9722] -> 
  a^(-6) - a^(-4) + a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9723] -> a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9724] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9725] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^2 - 
   a^2*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9726] -> 
  2 + a^(-4) - 2/a^2 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9727] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9728] -> 
  a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9729] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 
   3*a^8 - 5*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   25*a^2*z^4 - 26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9730] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 19*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9731] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9732] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9733] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   15*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9734] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 12*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9735] -> 
  -2 + a^(-4) + 2*a^2 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9736] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9737] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (12*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (5*z^4)/a^10 - (13*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9738] -> -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 18*z^2 + 
   (5*z^2)/a^2 + 25*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   28*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9739] -> -4 + 2/a^2 + 7*a^2 - 7*a^4 + 3*a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9740] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9741] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   26*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 9742] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (20*z^2)/a^4 + (18*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 9743] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 28*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (26*z^2)/a^2 + 10*a^2*z^2 - 38*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (30*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9744] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + 
   (4*z^2)/a^6 - (16*z^2)/a^4 + (22*z^2)/a^2 + a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (28*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9745] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (11*z^4)/a^4 - z^4/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9746] -> 
  2 - a^2 - a^4 + a^6 - z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9747] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 
   9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 5*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9748] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 28*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9749] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2/a^2 + 
   9*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 9750] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 2*z^2 - z^2/a^2 + 15*a^2*z^2 - 
   17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 9751] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9752] -> -1 + a^(-2) + a^2 - 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9753] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9754] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9755] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 + (5*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9756] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + 9*a^2*z^2 - 
   23*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 28*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9757] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + a^2*z^2 + 
   a^4*z^2 + 11*a^6*z^2 - 15*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - a^2*z^4 - 
   a^4*z^4 + 9*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9758] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 4*z^2 + 
   16*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9759] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - 
   (5*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9760] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9761] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9762] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 9763] -> -1 + 5*a^2 - 8*a^4 + 9*a^6 - 
   4*a^8 - 4*z^2 + 19*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 6*z^4 + 
   24*a^2*z^4 - 32*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   16*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9764] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9765] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9766] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + 
   a^6 - 16*z^2 + (3*z^2)/a^2 + 28*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9767] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   17*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 24*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9768] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 9*z^2 + 
   z^2/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   27*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9769] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 29*z^2 - 
   (2*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9770] -> 2*a^6 - a^8 + 4*a^10 - 6*a^12 + 
   2*a^14 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 14*a^10*z^2 - 11*a^12*z^2 + 
   a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 9771] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9772] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9773] -> -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 
   22*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (34*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9774] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 13*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 5*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6, Knot[14, Alternating, 9775] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2 + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9776] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 9777] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[14, Alternating, 9778] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 + a^2*z^2 - 4*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   5*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9779] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 9780] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9781] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9782] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9783] -> 2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 9784] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (18*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9785] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 3*z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 9786] -> 
  a^2 + a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + 14*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 9787] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 
   12*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + 
   (6*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9788] -> 1 + a^4 - 2*a^6 + a^8 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 9789] -> -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9790] -> 3 - a^(-4) + a^(-2) - 3*a^2 + 
   a^4 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9791] -> 2*a^4 - a^6 + a^10 - a^12 - a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9792] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 - 
   a^2*z^2 + 4*a^4*z^2 + 9*a^6*z^2 - 14*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9793] -> -3 - 2/a^4 + 5/a^2 + a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9794] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 9795] -> a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 + 
   z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9796] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9797] -> 
  a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9798] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9799] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9800] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9801] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9802] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9803] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9804] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 3*a^2*z^2 + 20*a^6*z^2 - 9*a^8*z^2 - 
   a^10*z^2 - 3*a^2*z^4 + 26*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 14*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 9805] -> 1 - a^2 + a^4 + 3*a^6 - 5*a^8 + 
   2*a^10 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 
   2*a^10*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 9806] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9807] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (7*z^4)/a^10 - (18*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 9808] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 12*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 9809] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 23*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   26*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9810] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9811] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9812] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 4*z^2 + 
   18*a^2*z^2 - 24*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 
   29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9813] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (5*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9814] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9815] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 
   17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 - 11*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + z^6 - a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9816] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 19*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9817] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9818] -> 
  -7 + 2/a^2 + 13*a^2 - 10*a^4 + 3*a^6 - 19*z^2 + (5*z^2)/a^2 + 29*a^2*z^2 - 
   22*a^4*z^2 + 6*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9819] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 2*a^4*z^2 + 11*a^6*z^2 - 
   18*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 - a^4*z^4 + 13*a^6*z^4 - 
   23*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 3*a^4*z^6 + 10*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 9820] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - z^2 + 
   9*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9821] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9822] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (24*z^2)/a^4 + (31*z^2)/a^2 - 11*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (27*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9823] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9824] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 6*a^4*z^2 + 
   23*a^6*z^2 - 9*a^8*z^2 - a^10*z^2 - a^2*z^4 - 5*a^4*z^4 + 23*a^6*z^4 - 
   3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 9825] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 7*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 
   4*a^10*z^2 - 9*a^4*z^4 + 23*a^6*z^4 + 10*a^8*z^4 - 8*a^10*z^4 - 
   5*a^4*z^6 + 15*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 9826] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   9*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 9827] -> 2*a^6 - 2*a^8 + 6*a^10 - 7*a^12 + 2*a^14 + 
   a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 19*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 
   2*a^4*z^4 + 5*a^6*z^4 - 9*a^8*z^4 + 18*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - 
   a^6*z^6 - 7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 9828] -> 2*a^2 - 3*a^4 + 7*a^6 - 8*a^8 + 3*a^10 + 
   5*a^2*z^2 - 14*a^4*z^2 + 25*a^6*z^2 - 23*a^8*z^2 + 7*a^10*z^2 + 
   4*a^2*z^4 - 20*a^4*z^4 + 31*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 9829] -> 
  1 - a^2 + 2*a^4 + a^6 - 4*a^8 + 2*a^10 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 9830] -> 
  5*a^6 - 5*a^8 + a^10 + z^2 - a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9831] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   26*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9832] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   2*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 9833] -> 
  1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 + 6*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 
   4*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 24*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9834] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9835] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9836] -> 1 + 2/a^6 - 6/a^4 + 5/a^2 - a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9837] -> 1 + 2/a^6 - 6/a^4 + 5/a^2 - a^2 + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9838] -> -2*a^4 + 11*a^6 - 12*a^8 + 5*a^10 - a^12 - 
   7*a^4*z^2 + 27*a^6*z^2 - 17*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 9*a^4*z^4 + 
   27*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 - 5*a^4*z^6 + 16*a^6*z^6 + 7*a^8*z^6 - 
   4*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 9839] -> -a^2 + 5*a^4 - 4*a^6 + 2*a^8 - 
   a^10 - 3*a^2*z^2 + 11*a^4*z^2 - 8*a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 9840] -> -4 - a^(-4) + 3/a^2 + 4*a^2 - a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 9841] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9842] -> 1 - a^2 + 4*a^4 - 4*a^6 + a^10 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 9843] -> -a^4 + 7*a^6 - 6*a^8 + a^10 + 2*a^2*z^2 - 
   7*a^4*z^2 + 21*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9844] -> -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 - z^2/a^2 + 
   18*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9845] -> 
  5 + 2/a^6 - 4/a^4 - 2*a^2 + 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 - 
   3*a^2*z^2 + 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9846] -> 5 - a^(-8) + 3/a^6 - 3/a^4 - 
   a^(-2) - 2*a^2 + 9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9847] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - 5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 9848] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + 2*a^2*z^2 - 9*a^4*z^2 + 
   21*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 
   24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9849] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   4*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9850] -> 
  4*a^4 - 4*a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 + 2*z^4 - a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9851] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9852] -> 2 - a^(-2) + a^6 - a^8 + 3*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9853] -> -8 + 4/a^2 + 6*a^2 - a^4 - 25*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9854] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 9855] -> 2/a^4 - 2/a^2 + a^4 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 9856] -> 
  1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9857] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 9858] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9859] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 9860] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 11*a^2*z^2 - 
   14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 9861] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   24*a^2*z^2 - 8*a^4*z^2 - 29*z^4 - z^4/a^4 + (10*z^4)/a^2 + 34*a^2*z^4 - 
   10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9862] -> 
  1 + a^(-4) - a^(-2) - a^6 + a^8 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 9863] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (19*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9864] -> 
  2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 9865] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9866] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 9867] -> 
  -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 15*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 
   20*a^4*z^2 + 6*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9868] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9869] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 28*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 30*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   34*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9870] -> 
  -4 + 12*a^2 - 9*a^4 + 2*a^6 - 11*z^2 + z^2/a^2 + 29*a^2*z^2 - 21*a^4*z^2 + 
   5*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 31*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9871] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 4*z^2 + 10*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9872] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 22*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9873] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9874] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9875] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 
   18*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   25*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9876] -> 3 - a^(-2) - a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 
   7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9877] -> 2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9878] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 
   20*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9879] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9880] -> 2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 9881] -> 
  -8 + 4/a^2 + 6*a^2 - a^4 - 25*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9882] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   14*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9883] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 
   2/a^4 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (10*z^2)/a^4 + 
   2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9884] -> 2 - a^2 - a^4 + a^6 - 2*z^2 + z^2/a^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9885] -> a^2 + a^4 - 2*a^8 + a^10 + a^2*z^2 - 
   2*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 6*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 9886] -> -7 + 4/a^2 + 4*a^2 - 22*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9887] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   z^2/a^2 + 8*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 9888] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (22*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9889] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 24*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 30*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 33*a^2*z^4 - 9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9890] -> -1 - a^(-6) + 2/a^4 - a^(-2) + 4*a^2 - 
   2*a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 9891] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 
   14*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9892] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9893] -> 
  2*a^4 - a^8 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   9*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9894] -> 2 - a^(-2) + a^2 - a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (5*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9895] -> 3*a^4 - a^6 - 2*a^8 + a^10 + a^2*z^2 + 
   6*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 14*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9896] -> 3*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9897] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + z^2/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 25*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 9898] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 17*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (30*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (8*z^4)/a^6 - (29*z^4)/a^4 + 
   (34*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9899] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 3*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9900] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9901] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 9902] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9903] -> -4 - 2/a^4 + 6/a^2 + a^4 - 10*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9904] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9905] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 2*z^2 + 
   11*a^2*z^2 - 21*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   25*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9906] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9907] -> 
  a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 2*a^12 - a^2*z^2 + 3*a^4*z^2 + 12*a^6*z^2 - 
   18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 12*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 9908] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + (19*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9909] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9910] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 26*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 32*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9911] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 9912] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9913] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 9914] -> 
  1 - a^2 + a^4 + a^6 - a^8 - z^2 + 3*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9915] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 9916] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 15*z^2 + 
   (5*z^2)/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9917] -> 2 - 2*a^2 + a^4 + z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9918] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 12*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9919] -> 2 - a^2 - a^4 + a^6 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9920] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 9921] -> -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 
   21*a^2*z^2 - 28*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 26*a^2*z^4 - 
   31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9922] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 
   2*a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9923] -> 1 - a^2 + 3*a^4 - 2*a^6 - a^8 + a^10 + z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 9924] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 9925] -> 2*a^6 - a^8 + 4*a^10 - 6*a^12 + 2*a^14 + 
   a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 15*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 
   2*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - 
   a^6*z^6 - 6*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 9926] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   5*a^4*z^2 + 2*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9927] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 9928] -> 1 - a^2 + 2*a^4 - a^6 - z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 9929] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 + 2*a^2*z^2 - 
   8*a^4*z^2 + 24*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 3*a^2*z^4 - 
   14*a^4*z^4 + 26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9930] -> 3 - a^(-2) - 2*a^4 + a^6 + 5*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9931] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9932] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 - 2*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 9933] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (22*z^2)/a^4 + (17*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9934] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9935] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9936] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 14*z^2 + 
   (3*z^2)/a^2 + 25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9937] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 9938] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9939] -> 2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 - 
   2*a^2*z^2 + 6*a^4*z^2 + 8*a^6*z^2 - 17*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9940] -> -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9941] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 + 
   3*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 
   12*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 9942] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 22*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9943] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 13*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9944] -> 1 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9945] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9946] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9947] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9948] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9949] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 9*a^2*z^2 - 
   22*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 28*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9950] -> a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 2*a^12 - 
   a^2*z^2 + 4*a^4*z^2 + 11*a^6*z^2 - 19*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 11*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9951] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9952] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   18*a^2*z^2 - 17*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 25*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9953] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9954] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9955] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9956] -> a^(-4) - a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9957] -> -1 + a^(-4) + a^4 - 8*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9958] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9959] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 9960] -> 
  a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9961] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 
   4*a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 9962] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + 
   z^4/a^12 + (5*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9963] -> 1 - 3/a^8 + 6/a^6 - 3/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9964] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9965] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 9966] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (17*z^2)/a^2 - 
   7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 9967] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 
   12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 9968] -> 
  4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 6*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 9969] -> 
  1 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9970] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9971] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (5*z^4)/a^10 - (13*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 9972] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 9973] -> 2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 - 
   a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 9974] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9975] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9976] -> 1 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9977] -> 
  3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 - 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9978] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9979] -> 1 - z^2 - z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 15*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9980] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9981] -> 
  2 - a^2 - a^4 + a^6 - z^2 - z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 9982] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 5*z^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9983] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 
   4*a^2*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - 
   17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 9984] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 - 5*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9985] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   5*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 9986] -> -5 - 4/a^4 + 9/a^2 + a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 9987] -> 1 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9988] -> 
  3 - a^(-2) - 2*a^4 + a^6 + z^2 - z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 9989] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 18*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 9990] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9991] -> 
  1 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9992] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 9993] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 9994] -> 
  1 + 2*z^2 - a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 
   12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + 6*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 9995] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 9996] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 - a^2*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 9997] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - 
   (5*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 9998] -> -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 9999] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10000] -> a^(-4) - a^(-2) + a^2 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 10001] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10002] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10003] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 10004] -> 
  1 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   11*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10005] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10006] -> -3 - a^(-4) + 4/a^2 + a^4 - 14*z^2 - 
   (5*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 20*z^4 - (6*z^4)/a^4 + 
   (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10007] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   12*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 10008] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10009] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 6*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10010] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10011] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   18*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 27*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 10012] -> 1 - 3*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10013] -> -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - 
   3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10014] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10015] -> 3 - 4*a^2 + 2*a^4 + z^2 - z^2/a^2 - 
   3*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 10016] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - 3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 10017] -> 2*a^2 - 2*a^6 + a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10018] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10019] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^8 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10020] -> 4 - a^(-4) - 2*a^2 + 4*z^2 - a^2*z^2 - 
   3*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 10021] -> -a^(-8) - a^(-6) + 4/a^4 - 
   a^(-2) + (5*z^2)/a^4 + (4*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10022] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 - z^4 - z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 - 3*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10023] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + z^2/a^2 + 23*a^2*z^2 - 17*a^4*z^2 + 
   4*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 33*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 21*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10024] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 31*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10025] -> -2 + 6*a^2 - 3*a^4 - 13*z^2 + (2*z^2)/a^2 + 
   25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 35*a^2*z^4 - 
   18*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 22*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10026] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10027] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (22*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (33*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (21*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 10028] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   12*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 34*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 10029] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   23*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 34*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10030] -> -2 + 6*a^2 - 3*a^4 - 12*z^2 + 
   z^2/a^2 + 26*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   36*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10031] -> -1 + 4*a^2 - 2*a^4 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 10032] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (31*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 10033] -> -5 + 3/a^2 + 3*a^2 - 21*z^2 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - (4*z^4)/a^4 + 
   (20*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10034] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (32*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (21*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 10035] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10036] -> 
  -5 + 3/a^2 + 3*a^2 - 23*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 32*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 10037] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - (34*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - (21*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 10038] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10039] -> -3/a^8 + 4/a^6 + (4*z^2)/a^12 - 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 + (10*z^4)/a^12 - 
   (14*z^4)/a^10 - (15*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^12 - 
   (16*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 10040] -> -5 + 3/a^2 + 3*a^2 - 19*z^2 + z^2/a^6 - 
   (10*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + (6*z^4)/a^6 - 
   (22*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - 
   (18*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 10041] -> -2/a^8 + 2/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10042] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 12*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 32*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 
   19*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 10043] -> 
  -4 + 3/a^2 + a^2 + a^4 - 3*z^2 + z^2/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10044] -> -a^(-8) + 2/a^4 + (2*z^2)/a^12 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10045] -> 5*a^6 - 5*a^8 + a^10 + 3*a^2*z^2 - 
   10*a^4*z^2 + 24*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + 7*a^2*z^4 - 
   24*a^4*z^4 + 32*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   17*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10046] -> a^4 + 3*a^6 - 4*a^8 + a^10 + z^2 - a^2*z^2 + 
   9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10047] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 16*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (32*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10048] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 10049] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 14*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10050] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 17*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (30*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10051] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (32*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (21*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 10052] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10053] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (7*z^2)/a^12 - (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (17*z^2)/a^6 + (11*z^4)/a^12 - (18*z^4)/a^10 - (19*z^4)/a^8 + 
   (17*z^4)/a^6 + (6*z^6)/a^12 - (17*z^6)/a^10 - (17*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^12 - (7*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 10054] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (3*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + (7*z^2)/a^4 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (15*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10055] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + (5*z^2)/a^8 - (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 + (8*z^4)/a^8 - (12*z^4)/a^6 - (17*z^4)/a^4 + 
   (9*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10056] -> 1 + (2*z^2)/a^6 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 10057] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^12 - (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (13*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10058] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10059] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10060] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (8*z^4)/a^4 - (13*z^4)/a^2 + 
   8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10061] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10062] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 7*a^4*z^2 + 18*a^6*z^2 + 4*a^8*z^2 - 
   7*a^10*z^2 - 11*a^4*z^4 + 24*a^6*z^4 + 17*a^8*z^4 - 11*a^10*z^4 - 
   6*a^4*z^6 + 18*a^6*z^6 + 17*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 10063] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 3*z^2 + 
   10*a^2*z^2 - 15*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   26*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 19*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10064] -> 3*a^6 - a^8 - a^10 - 2*a^2*z^2 + a^4*z^2 + 
   10*a^6*z^2 + 2*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 14*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10065] -> 
  4*a^6 - 3*a^8 - 2*a^2*z^2 + 14*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 16*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 10066] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 25*a^2*z^4 - 7*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10067] -> -3 - 2/a^4 + 5/a^2 + a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 28*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (29*z^4)/a^2 + 8*a^2*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 10068] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10069] -> 
  a^4 + a^6 - a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10070] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 11*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10071] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (21*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (30*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10072] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (21*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (28*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 10073] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10074] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 
   19*a^2*z^4 - 3*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10075] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (27*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (19*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 10076] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 4*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10077] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 10078] -> 
  -4 + 3/a^2 + a^2 + a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 8*z^4 - z^4/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 10079] -> 3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 10080] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (6*z^2)/a^12 - (9*z^2)/a^10 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 + (11*z^4)/a^12 - (18*z^4)/a^10 - (13*z^4)/a^8 + 
   (16*z^4)/a^6 + (6*z^6)/a^12 - (17*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^12 - (7*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 10081] -> -3/a^8 + 4/a^6 + (3*z^2)/a^12 - 
   (10*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (15*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10082] -> -a^(-10) + a^(-6) + a^(-4) + (4*z^2)/a^12 - 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - 
   (5*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10083] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10084] -> 5*a^6 - 5*a^8 + a^10 + 4*a^2*z^2 - 
   12*a^4*z^2 + 24*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 + 8*a^2*z^4 - 
   26*a^4*z^4 + 31*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 
   16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10085] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   13*a^2*z^2 - 21*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 24*a^2*z^4 - 
   32*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 5*z^6 + 19*a^2*z^6 - 17*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10086] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 10087] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + (6*z^2)/a^10 - (15*z^2)/a^8 + 
   (17*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + (5*z^4)/a^10 - (22*z^4)/a^8 + 
   (24*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (12*z^6)/a^8 + 
   (18*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 10088] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10089] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10090] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10091] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 10092] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (12*z^2)/a^2 - 9*z^4 - (8*z^4)/a^6 + (12*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10093] -> 
  1 + 3*z^2 + (2*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - z^2/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10094] -> 4 - 2/a^2 - a^4 + 9*z^2 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 14*z^4 - (8*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 10095] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10096] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (30*z^4)/a^6 - (27*z^4)/a^4 + (8*z^4)/a^2 - 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 10097] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10098] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10099] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10100] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 10101] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - 6*a^2*z^4 - 3*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10102] -> -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + (7*z^4)/a^8 - (8*z^4)/a^6 - 
   (13*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - (13*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 10103] -> -2/a^8 + 2/a^6 + a^(-4) - 
   (3*z^2)/a^10 + (10*z^2)/a^6 - (2*z^2)/a^4 - (7*z^4)/a^10 + (9*z^4)/a^8 + 
   (15*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^10 + (12*z^6)/a^8 + (13*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 10104] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   12*z^2 + (4*z^2)/a^4 + 7*a^2*z^2 - 17*z^4 + (8*z^4)/a^4 - (11*z^4)/a^2 + 
   9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10105] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - (4*z^2)/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 - 9*z^4 - (8*z^4)/a^6 + (11*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10106] -> -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10107] -> -3 + 2/a^2 + 2*a^2 - 18*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10108] -> -a^(-8) + 2/a^4 + z^2 + (2*z^2)/a^6 + 
   z^2/a^4 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10109] -> 4 - a^(-4) - 2*a^2 + 5*z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10110] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 18*a^4*z^2 + 
   14*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 29*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10111] -> 3*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 10112] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 10113] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 9*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - z^4/a^6 + (5*z^4)/a^4 + 
   z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 10114] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10115] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^12 - (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10116] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 10117] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 10118] -> a^(-8) - 4/a^4 + 4/a^2 + (8*z^2)/a^8 - 
   (6*z^2)/a^6 - (16*z^2)/a^4 + (12*z^2)/a^2 + (12*z^4)/a^8 - (19*z^4)/a^6 - 
   (25*z^4)/a^4 + (13*z^4)/a^2 + (6*z^6)/a^8 - (18*z^6)/a^6 - (19*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 10119] -> 2 + 2/a^6 - 3/a^4 + 5*z^2 + 
   (4*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + 4*z^4 + (4*z^4)/a^8 - 
   (4*z^4)/a^6 - (17*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (10*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10120] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10121] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + (9*z^4)/a^4 - 
   (15*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10122] -> 2*a^2 - a^4 + z^2 + z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^2 - 9*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10123] -> 
  1 - z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 + 
   z^4/a^2 - 5*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 10124] -> -a^4 + 4*a^6 - 2*a^10 - 6*a^4*z^2 + 
   14*a^6*z^2 + 10*a^8*z^2 - 9*a^10*z^2 - 11*a^4*z^4 + 22*a^6*z^4 + 
   21*a^8*z^4 - 12*a^10*z^4 - 6*a^4*z^6 + 18*a^6*z^6 + 18*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 10125] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 
   a^2*z^2 - 3*a^4*z^2 + 16*a^6*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 18*a^6*z^4 + 
   4*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10126] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 
   16*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 28*a^4*z^4 + 21*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10127] -> 2*a^6 + a^8 - 2*a^10 - a^2*z^2 - a^4*z^2 + 
   10*a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 + 
   6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10128] -> 
  3*a^6 - a^8 - a^10 - 2*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 2*a^10*z^2 - z^4 - 
   a^2*z^4 + 5*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10129] -> 
  4*a^6 - 3*a^8 - a^2*z^2 - a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 10130] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 
   6*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10131] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (27*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10132] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (26*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (19*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 10133] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10134] -> 2 + 2/a^6 - 3/a^4 + 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10135] -> -2/a^10 + a^(-8) + 2/a^6 + (6*z^2)/a^12 - 
   (9*z^2)/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 + (11*z^4)/a^12 - 
   (18*z^4)/a^10 - (13*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^12 - 
   (17*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 10136] -> -a^(-10) - a^(-8) + 3/a^6 + (4*z^2)/a^12 - 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - 
   (5*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10137] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 + (2*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10138] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   (4*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (26*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (19*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 10139] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10140] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (6*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10141] -> 4 - 2/a^2 - a^4 + 7*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 10142] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + (3*z^2)/a^4 + 7*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 10143] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10144] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (9*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 10145] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 10146] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - 
   z^6/a^2 + 3*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 10147] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 12*z^2 - 
   (9*z^2)/a^6 + (8*z^2)/a^4 + (20*z^2)/a^2 - 13*z^4 - (12*z^4)/a^6 + 
   (20*z^4)/a^4 + (26*z^4)/a^2 - 6*z^6 - (6*z^6)/a^6 + (18*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10148] -> -1 - a^(-8) - a^(-6) + 3/a^4 + 
   a^(-2) - 4*z^2 - (4*z^2)/a^8 + z^2/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (16*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   z^6/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 10149] -> 
  a^(-12) - 2/a^10 + 2/a^4 + (3*z^2)/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10150] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - (3*z^2)/a^6 + 
   (11*z^2)/a^2 - 9*z^4 - (8*z^4)/a^6 + (10*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10151] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^8 + z^4/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 10152] -> 
  3 - a^(-4) - a^4 + 8*z^2 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   12*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10153] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10154] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10155] -> 3*a^2 - 3*a^4 + a^6 - 8*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 24*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 10156] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^12 - (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10157] -> -2/a^6 + a^(-4) + 3/a^2 - a^2 - z^2 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10158] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 10159] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (29*z^2)/a^4 + 
   (19*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - (37*z^4)/a^4 + 
   (22*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - (22*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 10160] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + 
   (5*z^2)/a^10 - (16*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + 
   (3*z^4)/a^10 - (22*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 10161] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + 
   (3*z^2)/a^10 + (4*z^2)/a^8 - (12*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (2*z^4)/a^8 - (19*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 10162] -> 
  2 + a^(-8) - 2/a^4 + 3*z^2 + (2*z^2)/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4 + z^4/a^10 - z^4/a^8 - (8*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 10163] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (7*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10164] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 10165] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10166] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10167] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + 2*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[14, Alternating, 10168] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 10169] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - 
   a^(-4) + 3*z^2 + (3*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10170] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10171] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 6*z^2 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 - (9*z^4)/a^6 + 
   (15*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10172] -> a^(-10) - 2/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 10173] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 
   10*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 23*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10174] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 2*z^2 - 
   5*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   7*a^2*z^4 + a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10175] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (24*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10176] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (3*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + (8*z^4)/a^8 - 
   (10*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 10177] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10178] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + z^2/a^6 - z^2/a^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 10179] -> 2*a^4 + a^6 - 3*a^8 + a^10 + z^2 - a^2*z^2 - 
   a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 10180] -> 
  -2/a^10 + 4/a^6 - a^(-4) - (6*z^2)/a^10 + (5*z^2)/a^8 + (15*z^2)/a^6 - 
   (5*z^2)/a^4 - (8*z^4)/a^10 + (13*z^4)/a^8 + (19*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10181] -> -2/a^6 + 3/a^4 - 2*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 - 5*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10182] -> 2 + a^(-4) - 2/a^2 - z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 10183] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^2 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10184] -> 6*a^6 - 7*a^8 + 2*a^10 + 4*a^2*z^2 - 
   14*a^4*z^2 + 29*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 + 8*a^2*z^4 - 
   27*a^4*z^4 + 35*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 
   17*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10185] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (7*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10186] -> -2/a^6 + 3/a^4 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 10187] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   5*z^4 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10188] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 
   3*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10189] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10190] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - a^2*z^2 - 
   a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10191] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + z^4/a^2 - a^4*z^4 + 3*a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, Alternating, 10192] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10193] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2 + 9*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   17*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10194] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 + (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10195] -> 2 + 2/a^6 - 3/a^4 - z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 10196] -> -a^(-4) + 2/a^2 - 2*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10197] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 + z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10198] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10199] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + z^2/a^4 - 
   (4*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 10200] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 10201] -> -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 10202] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 17*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 19*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 10203] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   9*z^2 - z^2/a^6 + (2*z^2)/a^4 + 6*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 10204] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10205] -> 
  -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^12 - z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 10206] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 10207] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   7*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 10208] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^4 - 5*a^2*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 10209] -> 1 + z^2/a^6 - z^2/a^4 - a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 10210] -> 
  a^2 - a^4 + 2*a^6 - a^10 - z^2 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10211] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 + a^2*z^4 + 
   a^4*z^4 + 7*a^6*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 10212] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 10213] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + a^4*z^2 - 
   a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 10214] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 10215] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10216] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10217] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 10218] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 - 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 10219] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 
   3*a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 10220] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 
   3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10221] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10222] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - 
   z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10223] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (3*z^2)/a^6 - (7*z^2)/a^2 + 3*a^2*z^2 - 
   3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 10224] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 - 
   3*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 10225] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - (2*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10226] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10227] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10228] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 
   14*a^2*z^2 - 16*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   28*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10229] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10230] -> 
  2 - 3*a^4 + 2*a^6 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10231] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + (3*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 
   16*z^4 + (8*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 10232] -> 
  -2 + a^(-4) + 2*a^2 - 11*z^2 + (9*z^2)/a^4 - (10*z^2)/a^2 + 9*a^2*z^2 - 
   21*z^4 + (12*z^4)/a^4 - (21*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 + (6*z^6)/a^4 - 
   (18*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 10233] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10234] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - z^4/a^6 - 
   (16*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10235] -> -4 + 3/a^2 + a^2 + a^4 - 16*z^2 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 20*z^4 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 11*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 10236] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 8*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (7*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 10237] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 7*a^4*z^2 + 15*a^6*z^2 + 12*a^8*z^2 - 
   10*a^10*z^2 - 11*a^4*z^4 + 23*a^6*z^4 + 22*a^8*z^4 - 12*a^10*z^4 - 
   6*a^4*z^6 + 18*a^6*z^6 + 18*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 10238] -> -a^4 + 4*a^6 - 2*a^10 - 2*a^2*z^2 + 
   12*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 15*a^6*z^4 + 
   6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10239] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 - a^4*z^2 + 16*a^6*z^2 - 
   2*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 17*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10240] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   15*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10241] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10242] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 10243] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (21*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (28*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (19*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 10244] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10245] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10246] -> -3/a^10 + 3/a^8 + a^(-6) + (4*z^2)/a^12 - 
   (8*z^2)/a^10 + (3*z^2)/a^8 + (10*z^2)/a^6 + (10*z^4)/a^12 - 
   (15*z^4)/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 + (6*z^6)/a^12 - 
   (16*z^6)/a^10 - (15*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 10247] -> -2/a^10 + a^(-8) + 2/a^6 + (3*z^2)/a^12 - 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10248] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10249] -> -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10250] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^12 - (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10251] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10252] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   (4*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (26*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (19*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 10253] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 10254] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - (3*z^4)/a^6 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 10255] -> 
  -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 10256] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^8 - z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10257] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10258] -> -3 - 2/a^6 + 6/a^2 - 9*z^2 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 - (9*z^4)/a^6 + (14*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10259] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 + 8*z^2 - 
   (9*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 20*z^4 - (12*z^4)/a^2 + 
   26*a^2*z^4 - 13*a^4*z^4 + 18*z^6 - (6*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 
   7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 10260] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 10*z^2 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 - (3*z^4)/a^4 + 
   z^4/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10261] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 11*z^2 - 
   (4*z^2)/a^4 + 3*a^2*z^2 - 5*a^4*z^2 + 17*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 + 
   5*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 10262] -> 
  3 - a^(-4) - a^4 + 7*z^2 - z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 8*z^4 - z^4/a^6 + (7*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 10263] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10264] -> -1 + a^(-4) + a^4 + 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 6*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 10265] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - (19*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10266] -> -1 + a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10267] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^6 - (8*z^4)/a^4 - 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 10268] -> -2/a^8 + 2/a^6 + a^(-4) - z^2 - z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 + 
   (6*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10269] -> 3*a^6 - a^8 - a^10 - z^2 + 3*a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10270] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - z^2 + 
   a^2*z^2 - a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 
   2*a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10271] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 10272] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 10273] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 10274] -> 
  -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^12 - z^2/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10275] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 10276] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + (3*z^2)/a^12 - (4*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (8*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10277] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + 
   5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 10278] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - 
   (4*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10279] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (7*z^2)/a^14 - (2*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (4*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 10280] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + 
   z^4/a^10 - (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 10281] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^12 + (3*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10282] -> -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 10283] -> -2 + a^(-4) + 2*a^2 - 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 10284] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10285] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 11*z^2 + 
   z^2/a^2 + 27*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 16*z^4 + (2*z^4)/a^2 + 
   37*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 23*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10286] -> -2/a^10 + 2/a^8 + a^(-4) - (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10287] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10288] -> 
  -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 5*a^4*z^2 + 22*a^6*z^2 - 7*a^8*z^2 - 
   2*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 26*a^6*z^4 - 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10289] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 14*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 10290] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10291] -> 3*a^6 - a^8 - a^10 - a^2*z^2 - 
   3*a^4*z^2 + 16*a^6*z^2 - 2*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   22*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10292] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 10293] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 10294] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 10295] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 10296] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   21*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10297] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   10*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 10298] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 11*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 
   15*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10299] -> 
  1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10300] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 2*z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, Alternating, 10301] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2 + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 10302] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10303] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 10304] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10305] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10306] -> -2 + a^(-2) + 3*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10307] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (7*z^2)/a^8 - (8*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^8 - 
   (16*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 10308] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + (3*z^2)/a^8 + z^2/a^6 - 
   (8*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (13*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10309] -> -a^(-8) + 2/a^4 + z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 10310] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 
   2/a^4 + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10311] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10312] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 26*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 10313] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10314] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 10315] -> 
  -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^6 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 10316] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10317] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10318] -> 2 - 2/a^6 + a^(-4) + 2/a^2 - 2*a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (11*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 + (17*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10319] -> 1 + z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 10320] -> -1 - a^(-6) + 2/a^4 + a^2 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 10321] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 10322] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 10323] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10324] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10325] -> 2/a^4 - 2/a^2 + a^4 - z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 10326] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 16*a^2*z^2 - 25*a^4*z^2 + 
   19*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 33*a^4*z^4 + 22*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10327] -> 2 - 2*a^2 + 2*a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10328] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 28*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 21*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10329] -> -5 - 4/a^4 + 9/a^2 + a^2 - 17*z^2 + 
   (4*z^2)/a^6 - (16*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (34*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10330] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 10331] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (7*z^2)/a^10 - (18*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (21*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10332] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + (4*z^2)/a^10 - (14*z^2)/a^8 + 
   (22*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (30*z^4)/a^6 - (25*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 10333] -> 
  2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10334] -> 3/a^4 - 4/a^2 + 2*a^2 - 2*z^2 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (18*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 10335] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 8*z^4 + 
   z^4/a^6 - z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 10336] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10337] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 17*a^2*z^2 - 26*a^4*z^2 + 
   17*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 34*a^4*z^4 + 21*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 21*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10338] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 8*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 10339] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 10340] -> a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - 
   (11*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10341] -> -a^(-8) + 2/a^4 + z^2/a^12 - z^2/a^8 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 10342] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - 
   a^(-4) - a^(-2) + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 10343] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + (4*z^2)/a^10 - (14*z^2)/a^8 + 
   (21*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (30*z^4)/a^6 - (25*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 10344] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 7*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10345] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + 
   z^4/a^10 - (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 10346] -> a^2 + a^6 - a^8 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 10347] -> 
  5*a^6 - 5*a^8 + a^10 - a^2*z^2 - 3*a^4*z^2 + 19*a^6*z^2 - 10*a^8*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 23*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10348] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 10349] -> a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10350] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (14*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10351] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10352] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (7*z^2)/a^10 - (17*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 10353] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 - 
   (9*z^2)/a^4 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 10354] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10355] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + (5*z^2)/a^10 - (18*z^2)/a^8 + 
   (15*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + (3*z^4)/a^10 - (22*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10356] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^4 + z^4/a^12 + 
   z^4/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10357] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (5*z^2)/a^10 - (11*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10358] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10359] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10360] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 10361] -> -5 - 2/a^6 - 2/a^4 + 10/a^2 - 
   14*z^2 - (10*z^2)/a^6 + (8*z^2)/a^4 + (24*z^2)/a^2 - 14*z^4 - 
   (13*z^4)/a^6 + (22*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 - (6*z^6)/a^6 + 
   (19*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10362] -> 
  -4 - 2/a^6 - a^(-4) + 8/a^2 - 10*z^2 - (7*z^2)/a^6 + (6*z^2)/a^4 + 
   (18*z^2)/a^2 - 10*z^4 - (9*z^4)/a^6 + (15*z^4)/a^4 + (21*z^4)/a^2 - 
   5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10363] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + (7*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 + (9*z^4)/a^4 - (16*z^4)/a^2 + 
   9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10364] -> 2 + 3/a^4 - 5/a^2 + a^2 + (3*z^2)/a^6 + 
   z^2/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10365] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 
   (2*z^4)/a^2 - 8*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10366] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 + (3*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10367] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - 
   (7*z^2)/a^6 + (9*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 - (9*z^4)/a^6 + 
   (16*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10368] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - 
   a^2 + 2*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 10369] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10370] -> -4/a^8 + 6/a^6 - a^(-4) - (5*z^2)/a^10 + 
   z^2/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 - (8*z^4)/a^10 + (12*z^4)/a^8 + 
   (19*z^4)/a^6 - (8*z^4)/a^4 - (5*z^6)/a^10 + (13*z^6)/a^8 + (14*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 10371] -> -2/a^8 + a^(-6) + 3/a^4 - 
   a^(-2) - (2*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - (3*z^4)/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10372] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 15*z^2 + (10*z^2)/a^4 - (10*z^2)/a^2 + 
   11*a^2*z^2 - 24*z^4 + (13*z^4)/a^4 - (23*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 10373] -> 
  -6 + 4/a^2 + 2*a^2 + a^4 - 18*z^2 + (4*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 21*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 
   11*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 10374] -> a^(-6) - a^(-2) + a^4 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 10375] -> 
  2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   9*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10376] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 + z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 10377] -> 
  -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 10378] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + z^2/a^12 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10379] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10380] -> a^(-10) - 2/a^8 + a^(-6) + a^(-4) - a^(-2) + 
   a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10381] -> 
  a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 10382] -> 
  -2 + a^(-6) + a^2 + a^4 - 4*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4, Knot[14, Alternating, 10383] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 - 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 10384] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^12 - 
   z^2/a^8 + z^2/a^6 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 10385] -> 
  a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, Alternating, 10386] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10387] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 10388] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (6*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 - (8*z^4)/a^10 + (14*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10389] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10390] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10391] -> -a^(-4) + 2/a^2 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 10392] -> 
  a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (3*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 - (4*z^4)/a^14 + (2*z^4)/a^12 + 
   (16*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 10393] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 10*z^2 - (8*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   17*z^4 - (9*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 10394] -> 3 - a^(-4) - a^4 + 9*z^2 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 13*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10395] -> -4 + 13*a^2 - 11*a^4 + 3*a^6 - 20*z^2 + 
   (4*z^2)/a^2 + 39*a^2*z^2 - 27*a^4*z^2 + 6*a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 
   42*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 23*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10396] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10397] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 10398] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 6*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10399] -> 
  -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 12*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 10400] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 10401] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 
   z^2 + 6*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10402] -> 2*a^2 - 2*a^6 + a^8 + a^2*z^2 + a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - 4*a^4*z^4 + 9*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 10403] -> 
  -a^(-8) + 2/a^4 + z^2 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10404] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10405] -> 4*a^2 - 4*a^4 + a^8 - 7*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 10406] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 4*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10407] -> 
  a^4 + a^6 - a^10 - z^2 + 3*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 
   z^4 + 5*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10408] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 10409] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 10410] -> 4*a^2 - 4*a^4 + a^8 - 7*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 10411] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 10412] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 10413] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 10414] -> 1 + 2*a^2 - 3*a^4 + a^8 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 10415] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 3*z^2 - 
   z^2/a^6 - a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 10416] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 10417] -> 1 + 2*a^2 - 3*a^4 + a^8 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 10418] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 6*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 10419] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 5*z^2 + (5*z^2)/a^8 - (4*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - 
   (13*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10420] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - 
   z^4/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 10421] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^4)/a^10 - (3*z^4)/a^8 + (20*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10422] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10423] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10424] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10425] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (2*z^2)/a^12 + (7*z^2)/a^10 - (17*z^2)/a^8 + 
   (24*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (25*z^4)/a^8 + 
   (33*z^4)/a^6 - (8*z^4)/a^4 + (3*z^6)/a^10 - (15*z^6)/a^8 + (21*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 10426] -> -3/a^8 + 4/a^6 - z^2/a^12 + (3*z^2)/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10427] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10428] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10429] -> -2/a^10 + 2/a^8 + a^(-4) + (3*z^2)/a^12 - 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (13*z^4)/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10430] -> 
  -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^12 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (7*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10431] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10432] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 - 3*a^4*z^2 + 20*a^6*z^2 - 18*a^8*z^2 + 
   11*a^10*z^2 - 3*a^12*z^2 - 7*a^4*z^4 + 30*a^6*z^4 - 27*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 20*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 10433] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 - 
   a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 10434] -> a^4 + a^6 - a^10 - z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 + 5*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10435] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 3*z^2 - 
   z^2/a^6 - a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 10436] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2 + z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 10437] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10438] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10439] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10440] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10441] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10442] -> -5 - 4/a^4 + 9/a^2 + a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 10443] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10444] -> -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 10445] -> 
  2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 3*z^2 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - z^4/a^8 - 
   (8*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 10446] -> 
  a^(-8) - 2/a^4 + a^(-2) + a^2 + z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2, Knot[14, Alternating, 10447] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^10 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10448] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^4 - 
   2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 10449] -> -a^(-8) + 2/a^4 + z^2 + z^2/a^12 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 10450] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 - 2*a^2*z^2 + 
   8*a^4*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 
   a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 10451] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10452] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10453] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10454] -> -2/a^10 + 2/a^8 - a^(-6) + 3/a^4 - a^(-2) - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10455] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 4*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10456] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10457] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 - 4*a^4*z^2 + 24*a^6*z^2 - 24*a^8*z^2 + 
   13*a^10*z^2 - 3*a^12*z^2 - 8*a^4*z^4 + 33*a^6*z^4 - 30*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 21*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 10458] -> a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 - z^2 + 
   3*a^2*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 3*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 10459] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 
   9*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10460] -> -3 + 3/a^2 - a^2 + 2*a^4 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10461] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 10462] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 10463] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (12*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10464] -> 
  a^(-12) - 2/a^10 + 2/a^8 - 4/a^6 + 4/a^4 + (3*z^2)/a^12 - (3*z^2)/a^10 - 
   z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10465] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   z^2/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10466] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^4)/a^10 + (3*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10467] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (7*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (13*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10468] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 - 
   8*z^4 - (13*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10469] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 
   2*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10470] -> a^2 + a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10471] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10472] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10473] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10474] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 - 
   2*a^4*z^2 + 19*a^6*z^2 - 18*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 - 
   7*a^4*z^4 + 29*a^6*z^4 - 28*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 
   20*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 10475] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 
   3*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 10476] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 6*z^2 - z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 - (3*z^4)/a^6 + (13*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 10477] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 - (2*z^2)/a^6 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 10478] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 - a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 
   8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - 
   10*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 10479] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 4*a^4*z^2 - a^8*z^2 + 
   3*a^10*z^2 - z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 10480] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10481] -> 
  -a^(-4) + 2/a^2 - 6*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   10*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10482] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10483] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   (3*z^2)/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10484] -> 
  -5 + 3/a^2 + 3*a^2 - 22*z^2 + (8*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 - z^6 - (3*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 10485] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   6*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + z^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - z^6/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 10486] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10487] -> 
  -2/a^6 + 3/a^4 + z^2/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^12 - (11*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10488] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10489] -> 2*a^2 - 2*a^6 + a^8 - 3*z^2 + 5*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 10490] -> 2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 - 
   a^4*z^2 + 17*a^6*z^2 - 17*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 - 6*a^4*z^4 + 
   27*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 
   19*a^6*z^6 - 17*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 10491] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 
   4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 10492] -> 
  2*a^6 - a^12 + 5*a^4*z^2 + a^6*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 10493] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (7*z^2)/a^8 + (21*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + 
   (8*z^4)/a^2 + (3*z^6)/a^8 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10494] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10495] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^8 - (2*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 10496] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 15*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   5*a^2*z^2 - 21*z^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 10497] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + (2*z^2)/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 + 
   (7*z^4)/a^8 - (4*z^4)/a^6 - (26*z^4)/a^4 + (12*z^4)/a^2 + (5*z^6)/a^8 - 
   (11*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10498] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 25*z^4 + (8*z^4)/a^4 - 
   (8*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 + (5*z^6)/a^4 - (12*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10499] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10500] -> -1 + 5*a^2 - 4*a^4 + a^6 + 9*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 + 6*z^4 - a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 + 
   5*z^6 - 10*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + z^8 - 6*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 10501] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 9*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10502] -> a^(-16) - 4/a^14 + 4/a^10 + (6*z^2)/a^16 - 
   (30*z^2)/a^14 + (22*z^2)/a^12 + (18*z^2)/a^10 + (5*z^4)/a^16 - 
   (42*z^4)/a^14 + (53*z^4)/a^12 + (30*z^4)/a^10 + z^6/a^16 - (20*z^6)/a^14 + 
   (45*z^6)/a^12 + (23*z^6)/a^10 - (3*z^8)/a^14 + (16*z^8)/a^12 + 
   (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 10503] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) + (3*z^2)/a^16 - 
   (15*z^2)/a^14 + (6*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - 
   (13*z^4)/a^14 + (12*z^4)/a^12 + (27*z^4)/a^10 + (8*z^4)/a^8 - 
   (3*z^6)/a^14 + (9*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 10504] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 + (2*z^2)/a^16 - (10*z^2)/a^14 + 
   z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 + 
   (6*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 10505] -> -2*a^6 + 9*a^8 - 6*a^10 - 21*a^6*z^2 + 
   64*a^8*z^2 - 31*a^10*z^2 - 40*a^6*z^4 + 122*a^8*z^4 - 46*a^10*z^4 - 
   29*a^6*z^6 + 106*a^8*z^6 - 30*a^10*z^6 - 9*a^6*z^8 + 48*a^8*z^8 - 
   9*a^10*z^8 - a^6*z^10 + 11*a^8*z^10 - a^10*z^10 + a^8*z^12, 
 Knot[14, Alternating, 10506] -> -a^6 + 7*a^8 - 5*a^10 - 6*a^4*z^2 + 
   5*a^6*z^2 + 29*a^8*z^2 - 17*a^10*z^2 - 11*a^4*z^4 + 17*a^6*z^4 + 
   39*a^8*z^4 - 17*a^10*z^4 - 6*a^4*z^6 + 17*a^6*z^6 + 25*a^8*z^6 - 
   7*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 10507] -> 5*a^8 - 4*a^10 - 8*a^4*z^2 + 
   14*a^6*z^2 + 16*a^8*z^2 - 12*a^10*z^2 - 12*a^4*z^4 + 25*a^6*z^4 + 
   25*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 19*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 10508] -> 5*a^8 - 4*a^10 - 2*a^2*z^2 - 
   2*a^4*z^2 + 12*a^6*z^2 + 10*a^8*z^2 - 8*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   18*a^6*z^4 + 10*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10509] -> a^6 + 3*a^8 - 3*a^10 - 6*a^4*z^2 + 
   10*a^6*z^2 + 17*a^8*z^2 - 12*a^10*z^2 - 11*a^4*z^4 + 21*a^6*z^4 + 
   26*a^8*z^4 - 13*a^10*z^4 - 6*a^4*z^6 + 18*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 10510] -> a^4 - a^6 + 4*a^8 - 3*a^10 - 
   2*a^2*z^2 + 9*a^6*z^2 + 7*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   15*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10511] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10512] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 
   4*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10513] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 10514] -> -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 10*a^4*z^2 + 
   17*a^6*z^2 + 18*a^8*z^2 - 14*a^10*z^2 - 15*a^4*z^4 + 30*a^6*z^4 + 
   30*a^8*z^4 - 16*a^10*z^4 - 7*a^4*z^6 + 23*a^6*z^6 + 23*a^8*z^6 - 
   7*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 10515] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 
   3*a^2*z^2 - a^4*z^2 + 15*a^6*z^2 + 6*a^8*z^2 - 7*a^10*z^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 20*a^6*z^4 + 8*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   11*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10516] -> -a^4 + 4*a^6 - 2*a^10 - 4*a^2*z^2 + 
   2*a^4*z^2 + 14*a^6*z^2 + 2*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   18*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10517] -> -a^4 + 4*a^6 - 2*a^10 - z^2 - 2*a^2*z^2 + 
   4*a^4*z^2 + 10*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - z^4 + 7*a^4*z^4 + 
   9*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 10518] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 
   3*a^2*z^2 - a^4*z^2 + 18*a^6*z^2 - 2*a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 21*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   11*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10519] -> 3*a^6 - a^8 - a^10 - z^2 - 2*a^2*z^2 + 
   5*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - z^4 + 7*a^4*z^4 + 
   8*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 10520] -> 3 + a^(-6) - 3/a^2 + 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10521] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   11*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - 19*z^4 + 
   (4*z^4)/a^2 + 25*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 10522] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   16*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10523] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 10524] -> a^(-2) - a^2 + a^4 + z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 10525] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 
   3*a^2 - 19*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 
   24*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10526] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (27*z^4)/a^4 + (23*z^4)/a^2 - z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (19*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 10527] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10528] -> -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 
   6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 10529] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10530] -> a^(-16) - 4/a^14 + 4/a^10 + (3*z^2)/a^16 - 
   (18*z^2)/a^14 + (10*z^2)/a^12 + (18*z^2)/a^10 + (3*z^2)/a^8 + z^4/a^16 - 
   (17*z^4)/a^14 + (22*z^4)/a^12 + (27*z^4)/a^10 + (7*z^4)/a^8 - 
   (4*z^6)/a^14 + (15*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 10531] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 + 
   (2*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 10532] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (3*z^2)/a^12 - (6*z^2)/a^10 + (10*z^2)/a^6 + 
   (7*z^4)/a^12 - (11*z^4)/a^10 - (6*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 10533] -> -a^(-4) + 2/a^2 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 10534] -> -a^(-10) + a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10535] -> 
  -1 + a^(-2) + a^2 - 10*z^2 + z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   (4*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10536] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + z^4/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10537] -> 
  5*a^8 - 4*a^10 - 3*a^4*z^2 + 3*a^6*z^2 + 23*a^8*z^2 - 13*a^10*z^2 - 
   7*a^4*z^4 + 10*a^6*z^4 + 31*a^8*z^4 - 13*a^10*z^4 - 5*a^4*z^6 + 
   12*a^6*z^6 + 20*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 10538] -> 
  a^6 + 3*a^8 - 3*a^10 - a^2*z^2 - a^4*z^2 + 9*a^6*z^2 + 8*a^8*z^2 - 
   6*a^10*z^2 - 2*a^2*z^4 + 13*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 10539] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 17*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   28*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 10540] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 10541] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 10542] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (26*z^2)/a^8 + (20*z^2)/a^6 + (7*z^4)/a^12 - 
   (4*z^4)/a^10 - (28*z^4)/a^8 + (18*z^4)/a^6 + (5*z^6)/a^12 - 
   (11*z^6)/a^10 - (19*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 10543] -> -a^(-4) + 2/a^2 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 10544] -> a^(-12) - 3/a^10 + 4/a^8 - 
   5/a^6 + 4/a^4 + (4*z^2)/a^12 - (8*z^2)/a^10 + (7*z^2)/a^8 - (9*z^2)/a^6 + 
   (8*z^2)/a^4 + (4*z^4)/a^12 - (9*z^4)/a^10 + z^4/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, Knot[14, Alternating, 10545] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10546] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - (18*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10547] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + (3*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (10*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10548] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 + 
   (9*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + 
   (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 10549] -> 
  a^4 - 2*a^6 + 6*a^8 - 4*a^10 - 4*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 
   15*a^8*z^2 - 8*a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 
   5*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10550] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 10551] -> 
  2*a^6 + a^8 - 2*a^10 - 2*z^2 + a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10552] -> 1 + a^(-6) - 2/a^2 + a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 10553] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 7*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 8*z^4 + 
   z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 10554] -> 
  a^(-2) - a^4 + a^6 - z^2 + z^2/a^4 - z^2/a^2 - 3*a^4*z^2 + a^8*z^2 - z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 10555] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 10556] -> a^(-16) - 4/a^14 + 4/a^10 + (2*z^2)/a^16 - 
   (14*z^2)/a^14 + (6*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - 
   (14*z^4)/a^14 + (17*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 - 
   (4*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 10557] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (3*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 + (8*z^4)/a^8 - (10*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10558] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + 
   z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + (5*z^4)/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10559] -> 2*a^6 + a^8 - 2*a^10 - 4*a^4*z^2 + 
   11*a^6*z^2 + 8*a^8*z^2 - 7*a^10*z^2 - 8*a^4*z^4 + 17*a^6*z^4 + 
   16*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 10560] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - (18*z^2)/a^8 + (22*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (26*z^4)/a^8 + (32*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^6)/a^10 - (15*z^6)/a^8 + (21*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 10561] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (4*z^2)/a^12 - (10*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (16*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10562] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (2*z^2)/a^12 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10563] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10564] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (18*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10565] -> -3 - 2/a^4 + 5/a^2 + a^2 - 15*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (24*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 10566] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (26*z^4)/a^4 + (16*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 10567] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - (3*z^2)/a^6 + z^2/a^4 + 
   (14*z^2)/a^2 - 9*z^4 - (5*z^4)/a^6 + (4*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10568] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 6*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 10569] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 - 9*z^4 - (4*z^4)/a^6 - (3*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10570] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 10571] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   z^4 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10572] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10573] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10574] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 22*z^2 + 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 29*z^4 + (8*z^4)/a^4 - 
   (6*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 + (5*z^6)/a^4 - (12*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10575] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (14*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10576] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 + z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 + (2*z^4)/a^2 - 9*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10577] -> a^6 + 3*a^8 - 3*a^10 - 4*a^4*z^2 + 
   6*a^6*z^2 + 19*a^8*z^2 - 12*a^10*z^2 - 8*a^4*z^4 + 13*a^6*z^4 + 
   29*a^8*z^4 - 13*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 20*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 10578] -> a^4 - a^6 + 4*a^8 - 3*a^10 - 
   2*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 11*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10579] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 10580] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 
   2*a^2*z^2 - 3*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 - 
   a^4*z^4 + 25*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10581] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10582] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   8*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 10583] -> a^(-16) - 4/a^14 + a^(-12) + 
   2/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 + (6*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + (8*z^4)/a^12 + (11*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 10584] -> -2/a^10 + a^(-8) + 2/a^6 - 
   z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10585] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^6 + 
   2*z^4 + z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10586] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 
   z^2/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^2 + (3*z^4)/a^10 + 
   z^4/a^8 - (17*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - 
   (3*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 10587] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 + z^4/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 10588] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 - 2*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 
   14*a^8*z^2 - 6*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 12*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10589] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10590] -> a^(-2) + a^2 - 2*a^4 + a^8 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 10591] -> 3*a^4 - a^6 - 2*a^8 + a^10 + a^2*z^2 - 
   2*a^4*z^2 + 10*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10592] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (20*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 10593] -> a^(-10) - 5/a^8 + 5/a^6 - 
   (9*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 - (4*z^4)/a^10 - z^4/a^8 + 
   (22*z^4)/a^6 - (8*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + (15*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 10594] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 3*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 10595] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 10596] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 - (2*z^6)/a^6 - (2*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10597] -> -a^(-8) + a^(-6) + a^(-2) - 
   z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 10598] -> 
  -a^(-4) + 2/a^2 - 6*z^2 + (2*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 10599] -> -a^(-10) + a^(-6) + a^(-4) + 
   z^2/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10600] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10601] -> a^(-2) - a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10602] -> -4/a^12 + 4/a^10 + a^(-8) + (2*z^2)/a^16 - 
   (11*z^2)/a^14 + z^2/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - 
   (14*z^4)/a^14 + (15*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - 
   (4*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 10603] -> 
  -3/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (5*z^2)/a^14 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + (3*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 10604] -> 
  -2/a^10 + 4/a^6 - a^(-4) - (4*z^2)/a^10 + z^2/a^8 + (17*z^2)/a^6 - 
   (5*z^2)/a^4 - (5*z^4)/a^10 + (5*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10605] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10606] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 9*z^2 - (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (16*z^2)/a^2 - 12*z^4 - (8*z^4)/a^6 + (9*z^4)/a^4 + (25*z^4)/a^2 - 6*z^6 - 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10607] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 10608] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + (3*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10609] -> -4/a^8 + 6/a^6 - a^(-4) - z^2/a^10 - 
   (7*z^2)/a^8 + (20*z^2)/a^6 - (5*z^2)/a^4 - (4*z^4)/a^10 + (23*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10610] -> -3/a^8 + 4/a^6 - z^2/a^10 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + z^4/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10611] -> -a^(-10) + a^(-8) + a^(-2) + (2*z^2)/a^12 - 
   z^2/a^8 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10612] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^12 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 10613] -> 1 + a^2 - a^4 - a^6 + a^8 + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 
   5*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[14, Alternating, 10614] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (4*z^2)/a^8 + z^2/a^6 - (16*z^2)/a^4 + 
   (10*z^2)/a^2 + (6*z^4)/a^8 - (6*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10615] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 + 
   z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 - z^2/a^2 + 3*z^4 + (2*z^4)/a^8 + 
   z^4/a^6 - (15*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10616] -> -1 + 2*a^2 + a^4 - a^8 - z^2 - z^2/a^2 + 
   5*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 10617] -> a^(-10) - 2/a^8 + a^(-4) + 
   a^(-2) + (4*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10618] -> -1 + a^(-4) + a^4 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 10619] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10620] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^6*z^2 - z^4 + 
   z^4/a^4 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 10621] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 3*a^2*z^2 - 
   a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - z^4 + a^2*z^4 - 2*a^4*z^4 - 
   3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[14, Alternating, 10622] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + 
   z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 10623] -> a^(-16) - 4/a^14 + 2/a^12 + a^(-10) + 
   a^(-6) + z^2/a^16 - (7*z^2)/a^14 + (5*z^2)/a^12 + (4*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - (3*z^4)/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 10624] -> 3 + a^(-6) - 3/a^2 + 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 10625] -> 
  1 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 10626] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 10627] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + z^2/a^6 - z^2/a^4 - z^2/a^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 10628] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (20*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 10629] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 + (3*z^2)/a^8 + (6*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 + 
   (8*z^4)/a^8 - (6*z^4)/a^6 - (29*z^4)/a^4 + (13*z^4)/a^2 + (5*z^6)/a^8 - 
   (12*z^6)/a^6 - (20*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10630] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 5*z^2 + 
   z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + 4*z^4 + (3*z^4)/a^8 + 
   z^4/a^6 - (18*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10631] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 5*z^2 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^8 - (10*z^4)/a^6 - (10*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10632] -> a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 10633] -> 
  -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 4*z^2 + a^2*z^2 + 12*a^4*z^2 + 3*a^6*z^2 - 
   5*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 17*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 10634] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 
   3*z^2 - z^2/a^2 + 5*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 
   7*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 10635] -> 1 - a^2 + 2*a^4 - a^6 - z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 10636] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 + 
   (3*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10637] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10638] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + (2*z^2)/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10639] -> 
  2*a^6 + a^8 - 2*a^10 - 8*a^4*z^2 + 19*a^6*z^2 + 4*a^8*z^2 - 7*a^10*z^2 - 
   12*a^4*z^4 + 29*a^6*z^4 + 12*a^8*z^4 - 9*a^10*z^4 - 6*a^4*z^6 + 
   20*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 10640] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 - 4*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 
   12*a^8*z^2 - 6*a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + a^6*z^4 + 11*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10641] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 10642] -> -a^4 + 6*a^6 - 4*a^8 - 
   4*a^2*z^2 + 2*a^4*z^2 + 17*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 
   5*a^4*z^4 + 19*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10643] -> a^4 + a^6 - a^10 - 2*z^2 + a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   5*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10644] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10645] -> 1 + z^2/a^10 - z^2/a^8 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10646] -> 2 - a^(-2) + a^2 - a^4 + z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 10647] -> 
  2*a^2 - a^4 - z^2 - z^2/a^6 + z^2/a^4 + 3*a^2*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 10648] -> -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 10649] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - (12*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10650] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10651] -> 
  4*a^6 - 3*a^8 - 3*a^4*z^2 + 11*a^6*z^2 + 3*a^8*z^2 - 5*a^10*z^2 - 
   7*a^4*z^4 + 15*a^6*z^4 + 13*a^8*z^4 - 8*a^10*z^4 - 5*a^4*z^6 + 
   13*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 10652] -> 
  2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 9*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10653] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (3*z^2)/a^12 + (3*z^2)/a^10 - 
   (14*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^12 - (2*z^4)/a^10 - 
   (19*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10654] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10655] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^12 + (3*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10656] -> 
  2 + a^(-10) - a^(-8) - a^(-6) + 2/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10657] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10658] -> -4 + 3/a^2 + a^2 + a^4 - 9*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10659] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 - 27*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10660] -> 4*a^2 - 5*a^4 + 2*a^6 + z^2/a^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - z^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10661] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10662] -> 
  a^4 + 2*a^8 - 2*a^10 - a^2*z^2 - a^4*z^2 + 10*a^6*z^2 + 3*a^8*z^2 - 
   4*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 18*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10663] -> 
  -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 - 2*a^4*z^2 + 19*a^6*z^2 - 6*a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 24*a^6*z^4 - 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10664] -> 
  4*a^6 - 3*a^8 - z^2 + a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - z^4 + 
   4*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10665] -> 
  a^(-2) - a^6 + a^8 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 10666] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2 + 
   z^2/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[14, Alternating, 10667] -> 2 + a^(-4) - 2/a^2 + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10668] -> 
  2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 4*z^4 + 
   z^4/a^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 10669] -> -6 - 7/a^4 + 14/a^2 - 15*z^2 - 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (33*z^2)/a^2 - 14*z^4 - (8*z^4)/a^6 + 
   (6*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10670] -> 6 - 2/a^6 + 3/a^4 - 3/a^2 - 
   3*a^2 + 12*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 
   11*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 5*z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 10671] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10672] -> 2 + a^(-10) - a^(-8) - a^(-6) + 2/a^4 - 
   2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10673] -> 
  -3 + 3/a^2 + a^6 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, Alternating, 10674] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (23*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 10675] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10676] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 
   4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 10677] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 10678] -> 2 + 2/a^8 - 4/a^6 + 3/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10679] -> a^(-8) - a^(-6) + a^2 - z^2 + z^2/a^10 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10680] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 10681] -> 2 + 2/a^6 - 3/a^4 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10682] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10683] -> -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^8/a^2, Knot[14, Alternating, 10684] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 25*a^2*z^2 - 
   19*a^4*z^2 + 5*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + z^6/a^2 + 21*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10685] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10686] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 
   23*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (28*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10687] -> 
  a^4 + a^6 - a^10 - a^2*z^2 + 10*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10688] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^12 + (3*z^2)/a^10 - (5*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10689] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 3*z^2 + 
   13*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10690] -> a^(-10) - 5/a^8 + 5/a^6 - (9*z^2)/a^8 + 
   (18*z^2)/a^6 - (4*z^2)/a^4 - (4*z^4)/a^10 - z^4/a^8 + (22*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10691] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 
   z^2/a^10 + (7*z^2)/a^8 - (9*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + 
   (3*z^4)/a^10 + z^4/a^8 - (16*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 10692] -> 
  2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 3*z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (8*z^2)/a^4 + z^4 + z^4/a^10 - (7*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 10693] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 10694] -> 
  a^(-6) - a^(-4) + a^2 + z^2/a^10 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2, Knot[14, Alternating, 10695] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 10696] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 - 3*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 10697] -> 
  a^2 - 2*a^6 + 5*a^8 - 3*a^10 - 2*z^2 + 3*a^2*z^2 + a^4*z^2 + 7*a^8*z^2 - 
   3*a^10*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10698] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 10699] -> a^2 - a^4 + 2*a^6 - a^10 - z^2/a^2 + 
   2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 + a^8*z^4, Knot[14, Alternating, 10700] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 + a^6 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 10701] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2 + 
   z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 10702] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 10703] -> 2*a^6 - a^12 + 2*a^2*z^2 + 
   3*a^4*z^2 + a^8*z^2 + 3*a^10*z^2 - z^4 + a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 10704] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^4 - a^(-2) + a^2 - 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10705] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 10706] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 8*z^4 - (2*z^4)/a^2 + 20*a^2*z^4 - 
   8*a^4*z^4 + 5*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 10707] -> -3 + a^(-4) + 4*a^2 - a^4 - 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 5*z^4 - z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - z^6/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10708] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 5*z^4 - (2*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 10709] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 21*a^2*z^2 - 18*a^4*z^2 + 
   5*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10710] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 10711] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10712] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10713] -> -1 + 7*a^2 - 8*a^4 + 3*a^6 + 12*a^2*z^2 - 
   23*a^4*z^2 + 10*a^6*z^2 + 6*z^4 - 28*a^4*z^4 + 12*a^6*z^4 + 5*z^6 - 
   10*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + z^8 - 6*a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 10714] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 - 3*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 
   2*z^4 + (2*z^4)/a^2 - 10*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10715] -> 3 - 3*a^2 + a^6 + 2*z^2 + (2*z^2)/a^2 - 
   9*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*z^4 + (3*z^4)/a^2 - 12*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10716] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10717] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 10718] -> 
  4*a^6 - 3*a^8 - 4*a^4*z^2 + 14*a^6*z^2 - 4*a^10*z^2 - 8*a^4*z^4 + 
   18*a^6*z^4 + 11*a^8*z^4 - 8*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 
   13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 10719] -> 
  2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 7*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10720] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - a^2*z^2 - 5*a^4*z^2 + 23*a^6*z^2 - 
   10*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 - 3*a^4*z^4 + 27*a^6*z^4 - 4*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10721] -> 
  a^4 + 2*a^6 - 2*a^8 - 3*a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 
   a^10*z^2 - z^4 - 2*a^2*z^4 + 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10722] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 21*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   24*a^2*z^2 - 8*a^4*z^2 - 29*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10723] -> -3 + a^(-2) + 4*a^2 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 10724] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 4*z^2 + 
   17*a^2*z^2 - 24*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 8*z^4 + 28*a^2*z^4 - 
   33*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 5*z^6 + 20*a^2*z^6 - 17*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10725] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 10726] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + (3*z^2)/a^16 - (15*z^2)/a^14 + 
   (4*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (16*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 10727] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 + 
   (5*z^2)/a^12 + (6*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 10728] -> 
  -a^(-8) + 2/a^4 + z^2 + (2*z^2)/a^6 + z^2/a^4 + 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10729] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + z^2 + 
   z^2/a^6 + (8*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10730] -> 
  4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 - 2*a^2*z^2 + 9*a^4*z^2 - 10*a^6*z^2 + 
   11*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 + 9*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10731] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10732] -> 2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 - z^2 + 
   7*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 3*z^4 + 
   6*a^2*z^4 - 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 10733] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   3*a^8*z^2 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, Alternating, 10734] -> 2*a^2 - 2*a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[14, Alternating, 10735] -> -2/a^10 + 3/a^8 - 3/a^6 + 4/a^4 - 
   a^(-2) - (3*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10736] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 - 9*z^4 - (4*z^4)/a^6 - (2*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10737] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 10738] -> 
  2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 2*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 10739] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 - (3*z^2)/a^6 + (4*z^2)/a^2 - 
   a^2*z^2 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 10740] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10741] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10742] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10743] -> 3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (5*z^2)/a^14 - (15*z^2)/a^12 + (25*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + z^4/a^12 + (33*z^4)/a^10 + 
   (6*z^4)/a^8 - (4*z^6)/a^14 + (9*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 10744] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 13*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 10745] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 10746] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (11*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10747] -> 
  -8 + 4/a^2 + 6*a^2 - a^4 - 23*z^2 + (7*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 
   17*z^4 + z^4/a^2 + 22*a^2*z^4 - 8*a^4*z^4 - (3*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 4*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 10748] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 2*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - z^6/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10749] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 21*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + (14*z^4)/a^2 + 
   9*a^2*z^4 - 16*z^6 + (3*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 10750] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 + z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 10751] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   7*a^2*z^2 - 20*z^4 + (5*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 10752] -> 
  -1 + 7*a^2 - 8*a^4 + 3*a^6 + 2*z^2 + 8*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 + 
   7*z^4 - 4*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 5*z^6 - 11*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[14, Alternating, 10753] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 + (2*z^2)/a^2 - 7*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - z^4 + (3*z^4)/a^2 - 13*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 
   3*z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 10754] -> 2*a^6 + a^8 - 2*a^10 - 
   3*a^4*z^2 + 6*a^6*z^2 + 15*a^8*z^2 - 10*a^10*z^2 - 7*a^4*z^4 + 
   11*a^6*z^4 + 26*a^8*z^4 - 12*a^10*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 
   19*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 10755] -> 
  a^4 + 2*a^8 - 2*a^10 - a^2*z^2 + 7*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 - 
   2*a^2*z^4 + 12*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10756] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - 2*a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   8*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10757] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 2*a^2*z^2 - 
   3*a^4*z^2 + 23*a^6*z^2 - 12*a^8*z^2 - 3*a^2*z^4 - a^4*z^4 + 26*a^6*z^4 - 
   6*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10758] -> 
  -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + (6*z^4)/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10759] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10760] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10761] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 
   7*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10762] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10763] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - z^4/a^10 - (6*z^4)/a^8 + (18*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 10764] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   21*z^2 + z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 27*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 10765] -> -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10766] -> -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 
   16*z^2 - z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10767] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 
   7*z^2 - (3*z^2)/a^6 + z^2/a^4 + (14*z^2)/a^2 - 9*z^4 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10768] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (3*z^2)/a^10 - z^2/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 - (5*z^4)/a^10 + 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 10769] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   (5*z^4)/a^8 - (3*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10770] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 10771] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10772] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10773] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + (2*z^2)/a^2 - 
   a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 2*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10774] -> 
  a^(-2) - a^4 + a^6 - 2*z^2 + z^2/a^4 + z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 10775] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 - z^2 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10776] -> a^4 + 2*a^6 - 2*a^8 - z^2 - a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10777] -> -3/a^10 + 3/a^8 + a^(-6) - z^2/a^12 - 
   z^2/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + 
   (2*z^4)/a^10 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10778] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 19*z^2 + 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 21*z^4 + (8*z^4)/a^4 - 
   (8*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10779] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - 4*a^4*z^2 + 
   18*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - 8*a^4*z^4 + 22*a^6*z^4 - 
   a^8*z^4 - 3*a^10*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 7*a^8*z^6 - 4*a^10*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 10780] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, Alternating, 10781] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 2*z^2 - (2*z^2)/a^4 + a^2*z^2 - a^4*z^2 + 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 10782] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 10783] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 - 
   2*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 12*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   2*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 10784] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 - z^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10785] -> 
  a^(-16) - 4/a^14 + 2/a^12 + a^(-10) + a^(-6) - (4*z^2)/a^14 + 
   (4*z^2)/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 10786] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10787] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 + 
   z^4/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 10788] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - z^4/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 10789] -> 
  2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 - z^2 + 3*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10790] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 17*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10791] -> 
  -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 - (6*z^2)/a^8 + (22*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 + (15*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + 
   (3*z^6)/a^8 - z^6/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10792] -> -a^(-4) + 2/a^2 - 8*z^2 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10793] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (6*z^2)/a^10 - (12*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 10794] -> -a^(-10) - 3/a^8 + 7/a^6 - 
   2/a^4 - (3*z^2)/a^10 - (4*z^2)/a^8 + (23*z^2)/a^6 - (7*z^2)/a^4 - 
   (5*z^4)/a^10 + (3*z^4)/a^8 + (26*z^4)/a^6 - (9*z^4)/a^4 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10795] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10796] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 
   12*z^2 - (7*z^2)/a^6 + (4*z^2)/a^4 + (22*z^2)/a^2 - 13*z^4 - (9*z^4)/a^6 + 
   (12*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10797] -> 4 - 2/a^2 - a^4 + 5*z^2 - 
   (4*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 6*z^4 - (5*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + 8*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 10798] -> a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - 
   (10*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10799] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 - (5*z^4)/a^10 + 
   (2*z^4)/a^8 + (26*z^4)/a^6 - (9*z^4)/a^4 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 10800] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 6*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 10801] -> 
  -a^(-4) + 2/a^2 + z^2/a^12 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10802] -> -5 - 6/a^4 + 12/a^2 - 12*z^2 - (5*z^2)/a^6 - 
   (2*z^2)/a^4 + (25*z^2)/a^2 - 11*z^4 - (9*z^4)/a^6 + (12*z^4)/a^4 + 
   (25*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10803] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 3*z^2 - 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (14*z^2)/a^4 - 3*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (16*z^4)/a^4 + (2*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 10804] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10805] -> -a^(-8) + 2/a^4 - z^2/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 - z^4/a^10 + z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 10806] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 + (2*z^4)/a^8 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10807] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + 
   z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (5*z^4)/a^14 + (6*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 10808] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   z^2/a^12 - (5*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 - (2*z^4)/a^10 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10809] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^12 + 
   (3*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10810] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10811] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10812] -> -2 + 2/a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10813] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10814] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 4*z^2 - 
   (6*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 10*z^4 - (8*z^4)/a^2 + 
   26*a^2*z^4 - 12*a^4*z^4 + 12*z^6 - (5*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 
   6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 10815] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 8*z^2 - 
   z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 12*z^4 - (2*z^4)/a^4 - 
   z^4/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10816] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10817] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 10818] -> -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 10819] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 - z^2/a^6 - 
   (7*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 - (5*z^4)/a^6 + z^4/a^4 + 
   (24*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10820] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 + a^2*z^2 - 3*z^4 + z^4/a^6 + z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   2*z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 10821] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*z^4 + z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10822] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - (8*z^2)/a^8 + (15*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 - (6*z^4)/a^8 + (20*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10823] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 10824] -> -2/a^10 + 2/a^8 - a^(-6) + 3/a^4 - a^(-2) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10825] -> 
  4 - 2/a^2 - a^4 + 8*z^2 - z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   10*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10826] -> 3 - 2/a^6 + 2/a^4 - 2*a^2 + 5*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10827] -> -3/a^8 + 4/a^6 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - z^4/a^10 - z^4/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10828] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 - z^4/a^6 + (8*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 10829] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10830] -> 
  1 + z^2 + z^2/a^12 - z^2/a^8 - z^2/a^4 - z^4/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 10831] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10832] -> 1 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10833] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 10834] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 10835] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10836] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10837] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + z^4/a^2 + 15*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10838] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10839] -> a^(-2) - a^2 + a^4 - z^2 - a^2*z^2 - 5*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10840] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 10841] -> 2 - a^(-2) + a^2 - a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10842] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 
   9*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   7*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10843] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 10844] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4/a^10 - z^4/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10845] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (28*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10846] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - 3*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 10847] -> a^4 + 2*a^6 - 2*a^8 - 4*z^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 15*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10848] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10849] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 3*z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (7*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10850] -> 
  2*a^6 + a^8 - 2*a^10 - 2*a^2*z^2 + a^4*z^2 + 10*a^6*z^2 + 3*a^8*z^2 - 
   4*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 13*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10851] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 10852] -> 
  -3 - 4/a^4 + 8/a^2 - 12*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 
   2*a^2*z^2 - 15*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (30*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10853] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^12 + (4*z^4)/a^10 - (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10854] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10855] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^10 + (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 10856] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10857] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10858] -> a^2 + a^6 - a^8 + 2*z^2 - z^2/a^4 + 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 10859] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + 2*z^2 + z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 10860] -> a^4 + 2*a^8 - 2*a^10 - z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 10861] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 10862] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 10863] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 10864] -> 
  -2/a^6 + 3/a^4 - z^2/a^6 + (4*z^2)/a^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 + (3*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 10865] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 
   19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10866] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10867] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10868] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 10869] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 - z^2/a^4 + 
   10*a^2*z^2 - 5*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 10870] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + (2*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10871] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 10872] -> 
  1 - a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^4 - 3*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 10873] -> 
  -2/a^6 + 3/a^4 + z^2 + (3*z^2)/a^4 - z^2/a^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10874] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 10875] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, Alternating, 10876] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 10877] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 2*z^2 - (2*z^2)/a^4 + 11*a^2*z^2 - 6*a^4*z^2 - 
   5*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 9*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 10878] -> 
  3 - a^(-4) - a^4 + 5*z^2 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 10879] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^12 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10880] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 + 
   z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 10881] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 + 23*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 30*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 10882] -> -1 + 4*a^2 - 2*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 10883] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 - z^2/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 10884] -> a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 10885] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 10886] -> a^(-12) - 2/a^10 + a^(-8) - 
   a^(-4) + 2/a^2 + (2*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10887] -> 
  1 + a^(-10) - 2/a^8 + a^(-6) + z^2 + z^2/a^12 + z^2/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 10888] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - 
   (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - z^4/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 10889] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10890] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10891] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 10892] -> -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10893] -> 2*a^2 - a^4 + 2*z^2 - a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10894] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 13*z^2 + z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   4*a^4*z^2 - 17*z^4 + (3*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   10*z^6 + z^6/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 10895] -> -2/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10896] -> 
  a^6 + 3*a^8 - 3*a^10 - 4*a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 + 7*a^8*z^2 - 
   6*a^10*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 14*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10897] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 10898] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 10899] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*z^2 + a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10900] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 6*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 - z^4/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10901] -> 3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 10902] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 10903] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^6 + 
   z^2/a^2 + a^2*z^2 - a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 10904] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 10905] -> 
  1 + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10906] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10907] -> -3 - a^(-4) + 4/a^2 + a^4 - 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4 - (3*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2, Knot[14, Alternating, 10908] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10909] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (12*z^4)/a^6 - z^4/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 10910] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (9*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10911] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 
   9*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 10912] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^12 - (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 10913] -> a^(-12) - 3/a^10 + 3/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + (2*z^2)/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10914] -> 
  -2/a^6 + 3/a^4 - z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 10915] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4 - z^4/a^10 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10916] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10917] -> -3 - 4/a^4 + 8/a^2 - 13*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (25*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10918] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 10919] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 10920] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10921] -> 1 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 - 3*z^4 + 
   z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 10922] -> 3 - a^(-2) - a^2 + 6*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 10923] -> -2 + 2/a^2 + a^4 - 6*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 10924] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^10 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10925] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 - 2*z^2 + a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 10926] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6, Knot[14, Alternating, 10927] -> -2 + 2/a^2 + a^4 - 3*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 10928] -> 
  3*a^6 - a^8 - a^10 - z^2/a^2 + a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - a^10*z^2 + 
   z^4 + 2*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + a^8*z^4, 
 Knot[14, Alternating, 10929] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   20*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10930] -> 2 - a^(-2) + a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 10931] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10932] -> 
  3*a^6 - a^8 - a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 10933] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + (2*z^2)/a^12 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (10*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10934] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2 + z^2/a^12 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (4*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 10935] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10936] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 10937] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 
   3*z^4 + z^4/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 + z^6/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10938] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 14*z^2 + 
   z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 17*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 10939] -> -1 + a^(-4) + a^4 - 6*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 10940] -> a^2 + a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 
   9*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 19*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10941] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10942] -> 
  2*a^6 + a^8 - 2*a^10 - 2*a^2*z^2 + 11*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 15*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 10943] -> a^4 + 2*a^8 - 2*a^10 - z^2 - 
   a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - z^4 + 
   6*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10944] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2/a^2 + 10*a^2*z^2 - 15*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 10945] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 10946] -> -a^4 + 6*a^6 - 4*a^8 - z^2 - a^2*z^2 + 
   2*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 - z^4 + 5*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 10947] -> a^(-16) - 4/a^14 + 2/a^12 + 
   2/a^8 - (4*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 10948] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10949] -> 
  -2/a^10 + 2/a^8 + a^(-4) + (3*z^2)/a^8 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 10950] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 10951] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - z^2 + 
   a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 10952] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 10953] -> 1 - 2/a^4 + 3/a^2 - a^2 - 5*z^2 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 - 9*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10954] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 10955] -> -a^(-4) + 2/a^2 - z^2/a^6 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10956] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 - (2*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 10957] -> -2 + 2/a^2 + a^4 - 5*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 10958] -> 
  4 - 2/a^2 - a^4 - z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 10959] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^10 + (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 10960] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 - z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 10961] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   19*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + z^4/a^4 + 
   (10*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 10962] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 4*z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   12*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 10963] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - (2*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 10964] -> 
  a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^4 + (2*z^4)/a^12 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10965] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 10966] -> 
  -a^(-4) + 2/a^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 10967] -> 
  -2/a^6 + 3/a^4 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 10968] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 10*z^4 + (2*z^4)/a^4 + 5*a^2*z^4 - 10*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 10969] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 10970] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 10971] -> 2 + a^(-4) - 2/a^2 + 7*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^6 + (2*z^6)/a^4 + z^6/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 10972] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 10973] -> 1 - z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 10974] -> 
  1 + 5*z^2 - z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^2 - 
   9*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + z^6/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 10975] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   5*z^2 + (8*z^2)/a^6 - (10*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10976] -> -1 - 2/a^4 + 4/a^2 - z^2 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 10977] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 10978] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 10979] -> 3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10980] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   11*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 10981] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 13*a^6*z^2 - 
   5*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 18*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 10982] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^12 - z^2/a^8 + (5*z^2)/a^4 + 
   (2*z^4)/a^12 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 10983] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 10984] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 + (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (33*z^4)/a^4 + (13*z^4)/a^2 + (4*z^6)/a^8 - (6*z^6)/a^6 - 
   (21*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 10985] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 24*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 
   9*a^2*z^2 - 30*z^4 + (3*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 20*z^6 + 
   (4*z^6)/a^4 - (5*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 10986] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 + z^4/a^8 + (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 10987] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 + 5*z^2 + (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   4*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 + z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 10988] -> 3 - a^(-4) + a^(-2) - 3*a^2 + 
   a^4 + 6*z^2 + z^2/a^4 - z^2/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 10989] -> -2*a^2 + 3*a^4 + 4*a^6 - 4*a^8 - 
   13*a^2*z^2 + 18*a^4*z^2 + 18*a^6*z^2 - 14*a^8*z^2 - 16*a^2*z^4 + 
   30*a^4*z^4 + 30*a^6*z^4 - 16*a^8*z^4 - 7*a^2*z^6 + 23*a^4*z^6 + 
   23*a^6*z^6 - 7*a^8*z^6 - a^2*z^8 + 8*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[14, Alternating, 10990] -> 
  -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 4*z^2 - 2*a^2*z^2 + 15*a^4*z^2 + 
   6*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 20*a^4*z^4 + 8*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 4*a^2*z^6 + 11*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 10991] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 4*z^2 - a^2*z^2 + 15*a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 18*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 10992] -> 3 - a^(-4) + a^(-2) - 3*a^2 + 
   a^4 + 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 10993] -> -1 + a^2 + a^4 + 3*a^6 - 3*a^8 - 6*z^2 + 
   4*a^2*z^2 + 10*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 7*a^2*z^4 + 
   18*a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 - z^6 + 5*a^2*z^6 + 11*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 10994] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + z^4 - 
   z^4/a^2 + 8*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 10995] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 + 8*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 10996] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   26*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (32*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 10997] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (28*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - 
   (34*z^4)/a^4 + (26*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (21*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 10998] -> 2/a^6 - 5/a^4 + 4/a^2 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 10999] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^8 - (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 11000] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^8 + (13*z^2)/a^6 - (21*z^2)/a^4 + 
   (10*z^2)/a^2 + (4*z^4)/a^8 + (3*z^4)/a^6 - (25*z^4)/a^4 + (10*z^4)/a^2 + 
   (4*z^6)/a^8 - (7*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11001] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - 
   z^2/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 + (4*z^4)/a^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 11002] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 - (3*z^2)/a^2 + 
   20*a^2*z^2 - 10*a^4*z^2 + 5*z^4 - (7*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + 
   11*z^6 - (5*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 11003] -> 
  -1 + 4*a^2 - 2*a^4 + 4*z^2 - z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 11004] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + (6*z^2)/a^16 - (25*z^2)/a^14 + (10*z^2)/a^12 + (23*z^2)/a^10 + 
   (5*z^4)/a^16 - (38*z^4)/a^14 + (40*z^4)/a^12 + (34*z^4)/a^10 + z^6/a^16 - 
   (19*z^6)/a^14 + (39*z^6)/a^12 + (24*z^6)/a^10 - (3*z^8)/a^14 + 
   (15*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 11005] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + 
   (3*z^2)/a^16 - (13*z^2)/a^14 + (3*z^2)/a^12 + (13*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + (9*z^4)/a^12 + (24*z^4)/a^10 + 
   (9*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 11006] -> 
  a^(-16) - 4/a^14 + 3/a^12 - 2/a^10 + 3/a^8 + (3*z^2)/a^16 - (15*z^2)/a^14 + 
   (11*z^2)/a^12 + (4*z^2)/a^10 + (10*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (16*z^4)/a^12 + (14*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^14 + 
   (10*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 11007] -> 
  a^(-16) - 4/a^14 + 3/a^12 - a^(-10) + a^(-8) + a^(-6) + z^2/a^16 - 
   (6*z^2)/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^4)/a^14 + (3*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 11008] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11009] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11010] -> 
  -1 + 2*a^2 - a^4 + 4*a^6 - 3*a^8 - 6*z^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   17*a^6*z^2 - 7*a^8*z^2 - 5*z^4 + 22*a^2*z^4 - 22*a^4*z^4 + 23*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 18*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11011] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11012] -> -1 + 2*a^2 + a^4 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11013] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (6*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11014] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 9*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11015] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 11016] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 2*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 - (2*z^6)/a^6 + (6*z^6)/a^2 - 
   z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11017] -> a^(-10) - a^(-8) + a^(-6) - 4/a^4 + 4/a^2 + 
   (6*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 + 
   (5*z^4)/a^10 - (21*z^4)/a^8 + (19*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 + 
   z^6/a^10 - (12*z^6)/a^8 + (17*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 11018] -> 1 + a^(-10) - a^(-8) + a^(-6) - 3/a^4 + 
   2/a^2 + 3*z^2 + (3*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11019] -> 
  2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + 3*z^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 - 
   z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11020] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 11021] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11022] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 11023] -> 
  a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 3/a^8 + z^2/a^16 - (8*z^2)/a^14 + 
   (4*z^2)/a^12 + (5*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11024] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (10*z^2)/a^10 + 
   (12*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (8*z^4)/a^10 + 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11025] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11026] -> -2*a^2 + 5*a^4 - 2*a^8 - 2*z^2 - 5*a^2*z^2 + 
   17*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 19*a^4*z^4 + 5*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 3*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 11027] -> 
  a^4 + a^6 - a^10 + 6*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 
   9*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 11028] -> -3 + 8*a^2 - 4*a^4 - 4*z^2 - (4*z^2)/a^2 + 
   24*a^2*z^2 - 12*a^4*z^2 + 7*z^4 - (8*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 
   12*z^6 - (5*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 11029] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 8*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 14*z^4 - (3*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11030] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + (3*z^2)/a^16 - (14*z^2)/a^14 - 
   z^2/a^12 + (24*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (12*z^4)/a^12 + (34*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + 
   (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 11031] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (2*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 + (7*z^4)/a^12 - (9*z^4)/a^10 - (10*z^4)/a^8 + (13*z^4)/a^6 + 
   (5*z^6)/a^12 - (12*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 11032] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (20*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 11033] -> -2/a^10 + 3/a^8 - 2/a^6 + 
   2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11034] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11035] -> -1 + 5*a^2 - 4*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11036] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 
   z^4/a^4 - (6*z^4)/a^2 + 17*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 11037] -> 2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + 
   z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 11038] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11039] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11040] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + (8*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + 
   (5*z^4)/a^8 - (3*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11041] -> -2 + a^(-4) + 2*a^2 - 11*z^2 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11042] -> 
  -4 + 3/a^2 + a^2 + a^4 - 8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 11043] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11044] -> 1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 
   3*z^2 + (3*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11045] -> 
  2 + a^(-10) - a^(-8) - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11046] -> -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11047] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11048] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11049] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11050] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (2*z^2)/a^12 + (4*z^2)/a^10 - (18*z^2)/a^8 + (17*z^2)/a^6 + (7*z^4)/a^12 - 
   (5*z^4)/a^10 - (23*z^4)/a^8 + (17*z^4)/a^6 + (5*z^6)/a^12 - 
   (11*z^6)/a^10 - (18*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 11051] -> -a^(-8) + 2/a^4 + (2*z^2)/a^12 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11052] -> a^(-12) - 4/a^10 + 6/a^8 - 6/a^6 + 4/a^4 + 
   (3*z^2)/a^12 - (8*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^4)/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 11053] -> 
  4*a^6 - 3*a^8 - 4*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 - 
   4*z^4 + 15*a^2*z^4 - 13*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - z^6 + 
   10*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11054] -> 
  1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11055] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 11056] -> 2*a^4 - a^8 + z^2 - z^2/a^4 + 
   a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + 
   2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 11057] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11058] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 - 3*a^4*z^2 + 16*a^6*z^2 - 2*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 22*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 11059] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   11*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   8*z^6 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 11060] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2/a^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 11061] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 
   a^2*z^4 - 4*a^4*z^4 + 17*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 11062] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-6) - 2/a^4 + 
   2/a^2 + (2*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11063] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11064] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + z^4/a^8 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11065] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) + (2*z^2)/a^16 - (8*z^2)/a^14 - (7*z^2)/a^12 + (23*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (9*z^4)/a^14 - z^4/a^12 + (35*z^4)/a^10 + 
   (6*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 11066] -> 
  2*a^6 + a^8 - 2*a^10 - 2*a^2*z^2 - 3*a^4*z^2 + 18*a^6*z^2 - a^8*z^2 - 
   4*a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 25*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 11067] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 + z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 5*z^4 - z^4/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 11068] -> a^2 + a^6 - a^8 + 4*z^2 - z^2/a^4 - 
   2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 11069] -> a^(-2) - a^2 + a^4 + 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 11070] -> 
  -a^4 + 6*a^6 - 4*a^8 - z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 14*a^6*z^2 - 
   6*a^8*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 11071] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + (5*z^4)/a^8 - (5*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11072] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) + z^2/a^16 - (8*z^2)/a^14 + (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (5*z^4)/a^14 + (6*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 11073] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11074] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (10*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11075] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 - z^2/a^6 + 
   z^2/a^4 + a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 11076] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 - 
   a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 - 12*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 11077] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 10*z^2 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 11078] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 11079] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   5*a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 11080] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 11081] -> 
  -1 + 2*a^2 + a^4 - a^8 + z^2 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 
   a^8*z^2 + 3*z^4 + z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, Alternating, 11082] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 
   5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11083] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11084] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11085] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 + 
   z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 11086] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, Alternating, 11087] -> 
  2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 11088] -> a^(-10) - a^(-8) + a^(-6) - 2/a^4 + a^(-2) + 
   a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 11089] -> 
  1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 3*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (13*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (6*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11090] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 2*z^2 - 3*a^2*z^2 + 16*a^4*z^2 - 4*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + a^2*z^4 + 16*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 11091] -> -1 + 4*a^2 - 2*a^4 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11092] -> -a^(-12) + 2/a^6 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11093] -> 2*a^4 - a^8 + 2*a^4*z^2 + 3*a^6*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 11094] -> 
  3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (16*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11095] -> 2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + z^2/a^12 + 
   (3*z^2)/a^10 - (6*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11096] -> 
  -4 + 10*a^2 - 5*a^4 - 7*z^2 - (3*z^2)/a^2 + 28*a^2*z^2 - 13*a^4*z^2 + 
   4*z^4 - (7*z^4)/a^2 + 32*a^2*z^4 - 13*a^4*z^4 + 11*z^6 - (5*z^6)/a^2 + 
   20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 11097] -> -a^(-2) + 5*a^2 - 3*a^4 + 
   6*z^2 - z^2/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 12*z^4 - 
   (2*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11098] -> 4 - 2/a^2 - a^4 + 9*z^2 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11099] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + (2*z^2)/a^16 - (11*z^2)/a^14 - 
   (4*z^2)/a^12 + (25*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (9*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + 
   (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 11100] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + (9*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 + 
   (7*z^4)/a^8 - (5*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - 
   (12*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11101] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11102] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   (2*z^2)/a^12 + (9*z^2)/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (22*z^4)/a^8 + (19*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (14*z^6)/a^8 + (15*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 11103] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 11104] -> 
  a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^12 + z^2/a^10 - 
   (4*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11105] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + z^2 + 
   z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 11106] -> a^6 + 5*a^10 - 7*a^12 + 2*a^14 + a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 17*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 3*a^4*z^4 + 
   3*a^6*z^4 - 6*a^8*z^4 + 18*a^10*z^4 - 4*a^12*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   7*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 11107] -> a^6 + 2*a^8 - 3*a^12 + a^14 + 3*a^4*z^2 + 
   a^6*z^2 + 5*a^8*z^2 + 4*a^10*z^2 - 4*a^12*z^2 + a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 5*a^10*z^4 - a^4*z^6 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, Alternating, 11108] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 - 
   a^2*z^2 + 4*a^4*z^2 + 11*a^6*z^2 - 18*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 8*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 11109] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 6*a^4*z^2 - 
   a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 11110] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11111] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11112] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + z^6/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 11113] -> 
  -4/a^8 + 6/a^6 - a^(-4) - z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11114] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11115] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 15*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 11116] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + z^4/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (19*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 11117] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 14*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 11118] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11119] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11120] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11121] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11122] -> -3 + a^(-4) + a^(-2) + a^2 + 
   a^4 - 6*z^2 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11123] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11124] -> 2 - a^(-2) + a^2 - a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11125] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11126] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 
   19*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 - 7*z^4 - (3*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + 6*z^6 - (4*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 11127] -> -2 + 2/a^4 - 2/a^2 + 4*a^2 - a^4 + z^2/a^4 - 
   (6*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11128] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 - 6*z^4 - (4*z^4)/a^6 + (12*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11129] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 - 
   z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 11130] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11131] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 + z^2 - z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11132] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   5*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 11133] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11134] -> 1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 + z^2/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11135] -> 2*a^4 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11136] -> 
  2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 
   a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 11137] -> 
  5*a^6 - 5*a^8 + a^10 - 3*a^2*z^2 + 3*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 - 
   z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 11138] -> 
  6 - 3/a^2 - a^2 - a^4 + 12*z^2 - (6*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   12*z^4 - z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11139] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 11140] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 + (2*z^4)/a^6 + z^4/a^4 - 
   (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 11141] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 11*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11142] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11143] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11144] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11145] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 11146] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   10*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11147] -> 1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + 
   5*a^2*z^2 - 16*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 
   23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11148] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11149] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + z^4 - z^4/a^8 + z^4/a^2 - a^2*z^4 + 
   z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 11150] -> 
  1 + a^(-6) - 2/a^2 + a^2 + 2*z^2 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + 5*z^4 - z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 11151] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 9*z^2 + 25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11152] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 11153] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11154] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 18*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   19*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11155] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 11156] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11157] -> a^(-2) - a^2 + a^4 - 2*z^2 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 11158] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11159] -> -3/a^4 + 5/a^2 - a^2 + z^2 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 11160] -> 
  -1 - a^(-6) + 3/a^2 - z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 11161] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 11162] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) + (4*z^2)/a^8 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11163] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   19*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11164] -> 2 - 4*a^2 + 4*a^4 - a^8 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11165] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 2*z^2 + z^2/a^10 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11166] -> 
  4*a^6 - 3*a^8 - a^2*z^2 - 2*a^4*z^2 + 16*a^6*z^2 - 6*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 20*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 11167] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 - (5*z^2)/a^8 + (19*z^2)/a^6 - (25*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (35*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (22*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 11168] -> 
  2/a^10 - 4/a^8 + 3/a^4 + (6*z^2)/a^10 - (10*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11169] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 11170] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 - a^2*z^4 + a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 11171] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 11172] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11173] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (14*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (5*z^4)/a^10 - (14*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11174] -> -4 + 3/a^2 + a^2 + a^4 - 8*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11175] -> -12 - 5/a^4 + 14/a^2 + 4*a^2 - 32*z^2 - 
   (4*z^2)/a^4 + (25*z^2)/a^2 + 12*a^2*z^2 - 35*z^4 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 + (4*z^6)/a^4 - (5*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 11176] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 7*z^2 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11177] -> 4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 
   5*z^2 + z^2/a^4 - 11*a^2*z^2 + 5*a^4*z^2 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 11178] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 + z^2/a^6 + z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 11179] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 2*z^2 - 
   4*a^2*z^2 + 16*a^4*z^2 - 4*a^8*z^2 - 3*z^4 + 18*a^4*z^4 + 4*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 3*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 11180] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - z^2 - z^2/a^2 + a^2*z^2 + 8*a^4*z^2 - 
   2*a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 11181] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 3*z^2 - z^2/a^2 + 5*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 11182] -> 2*a^4 - a^6 + a^8 - a^10 + a^4*z^2 + 
   3*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 - a^4*z^4 + 7*a^6*z^4 + 
   5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 11183] -> 
  -11 + 3/a^2 + 15*a^2 - 6*a^4 - 32*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   33*a^2*z^2 - 9*a^4*z^2 - 37*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11184] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 23*z^2 - 
   (2*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 25*z^4 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 11185] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   6*z^2 + (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11186] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11187] -> 1 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11188] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 
   6*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11189] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11190] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) - (4*z^2)/a^14 + 
   (2*z^2)/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 11191] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (3*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^12 + 
   z^4/a^8 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11192] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 11193] -> 
  2*a^4 - a^8 - z^2/a^2 + a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 11194] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 11195] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 11196] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 + z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11197] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + a^4*z^4 + a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 11198] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - 
   z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 11199] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 + 
   (3*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11200] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 + 
   z^2/a^4 + (2*z^4)/a^12 - z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (5*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11201] -> 
  -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 + (9*z^2)/a^8 - (10*z^2)/a^6 - 
   z^2/a^4 + (5*z^2)/a^2 + (3*z^4)/a^10 + (2*z^4)/a^8 - (16*z^4)/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 11202] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + z^4 + 
   z^4/a^10 - (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 11203] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11204] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 6*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 11205] -> 3*a^2 - 3*a^4 + a^6 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11206] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11207] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 11208] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 + z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 11209] -> -a^(-4) + 2/a^2 - z^2/a^6 + (3*z^2)/a^2 - 
   a^2*z^2 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 11210] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 
   5*z^4 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 11211] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11212] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11213] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + 
   z^4/a^4 - a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 11214] -> 3*a^2 - 3*a^4 + a^6 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 
   3*z^4 - (2*z^4)/a^4 + 5*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6, 
 Knot[14, Alternating, 11215] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 11216] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11217] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (25*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 11218] -> 
  -1 + a^(-2) + a^2 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 11219] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - (3*z^2)/a^6 + z^2/a^4 + 
   (12*z^2)/a^2 - 7*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (11*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11220] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - 7*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   22*a^2*z^4 - 5*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11221] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 11222] -> 
  1 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 - z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 11223] -> 2/a^6 - 5/a^4 + 4/a^2 + (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - 
   (10*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 11224] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11225] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11226] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11227] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11228] -> 
  2 + a^(-10) - a^(-8) - a^(-6) + 2/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11229] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11230] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11231] -> 1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11232] -> -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^8 - (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 11233] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 11234] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 11235] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - (4*z^2)/a^6 + (18*z^2)/a^2 - 10*z^4 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11236] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11237] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - (5*z^4)/a^10 + (6*z^4)/a^8 + 
   (13*z^4)/a^6 - (5*z^4)/a^4 - (4*z^6)/a^10 + (9*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 11238] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11239] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11240] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11241] -> 
  -1 + 2*a^2 + a^4 - a^8 + z^2 - z^2/a^4 + 2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 11242] -> a^(-10) - 5/a^8 + 5/a^6 - 
   z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (20*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11243] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + z^2 - z^2/a^2 - a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11244] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11245] -> 2 + a^(-10) - a^(-8) - a^(-2) + 3*z^2 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (10*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11246] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11247] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 
   12*z^2 - (2*z^2)/a^6 - (7*z^2)/a^4 + (27*z^2)/a^2 - 13*z^4 - (5*z^4)/a^6 - 
   z^4/a^4 + (33*z^4)/a^2 - 6*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 11248] -> -2/a^10 + 3/a^8 - 3/a^6 + 
   4/a^4 - a^(-2) - (3*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11249] -> 
  4 - 2/a^6 + 3/a^4 - 2/a^2 - 2*a^2 + 10*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 11250] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 11251] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11252] -> 2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (7*z^2)/a^14 - (10*z^2)/a^12 + (23*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + (5*z^4)/a^12 + (32*z^4)/a^10 + 
   (6*z^4)/a^8 - (4*z^6)/a^14 + (10*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 11253] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (3*z^2)/a^10 + z^2/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^4)/a^10 + (7*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 11254] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 11255] -> -a^(-2) + 5*a^2 - 3*a^4 - 
   6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11256] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   a^6 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 11257] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 11258] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 + z^2/a^8 - z^2/a^6 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 11259] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^10 - (2*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 11260] -> a^(-12) - 2/a^10 + a^(-6) + 
   a^(-2) + z^2/a^12 - (2*z^2)/a^10 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11261] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, Alternating, 11262] -> a^(-10) - a^(-8) + a^2 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11263] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^2 + (3*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11264] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11265] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11266] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 - (2*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11267] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11268] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 11269] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - 
   (12*z^2)/a^8 + (26*z^2)/a^6 - (7*z^2)/a^4 - (4*z^4)/a^10 - (2*z^4)/a^8 + 
   (27*z^4)/a^6 - (9*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 11270] -> -2/a^8 + a^(-6) + 3/a^4 - 
   a^(-2) - z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11271] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - z^2 - z^2/a^6 + (3*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 11272] -> -1 + a^(-4) + a^4 - z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 11273] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 - 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11274] -> 
  a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^10 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11275] -> 
  a^(-12) - 2/a^10 + a^(-8) - a^(-6) + a^(-4) + a^(-2) + z^2/a^12 - 
   z^2/a^10 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11276] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 11277] -> -1 + a^(-10) - a^(-8) - a^(-4) + 
   2/a^2 + a^2 - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11278] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 11279] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11280] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 
   17*a^2*z^2 - 26*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 
   29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11281] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11282] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 10*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 11283] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11284] -> -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - 
   (5*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11285] -> 5*a^2 - 7*a^4 + 3*a^6 - 7*z^2 + z^2/a^2 + 
   18*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   21*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11286] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11287] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 
   9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 16*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11288] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 5*a^2*z^2 - a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11289] -> 5*a^6 - 5*a^8 + a^10 + z^2 - 3*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 11290] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11291] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   (7*z^4)/a^8 + (11*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11292] -> 4 - a^(-4) - 2*a^2 + 2*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - 6*z^4 + z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 11293] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11294] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 11295] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^10 + z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11296] -> 3 - a^(-2) - a^2 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 4*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 11297] -> 
  1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 11298] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + z^2/a^16 - (4*z^2)/a^14 - 
   (11*z^2)/a^12 + (20*z^2)/a^10 + (6*z^2)/a^8 - (5*z^4)/a^14 + z^4/a^12 + 
   (23*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + (4*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11299] -> 
  -2/a^2 + 8*a^2 - 5*a^4 + 5*z^2 - (8*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 
   13*z^4 - (9*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 
   20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 11300] -> 1 - a^(-4) + 4*a^2 - 3*a^4 + 
   6*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 12*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11301] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (6*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11302] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11303] -> -3/a^12 + 7/a^10 - 7/a^8 + 3/a^6 + a^(-4) - 
   (3*z^2)/a^12 + (14*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + (9*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 11304] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 + (10*z^4)/a^6 - (18*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 + z^6/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11305] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + 
   z^2/a^16 - (6*z^2)/a^14 - (2*z^2)/a^12 + (8*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (3*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 11306] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 2*z^2 - 
   (4*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 5*z^4 - (5*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + 8*z^6 - (4*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 11307] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (14*z^2)/a^2 - 9*z^4 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11308] -> -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11309] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11310] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11311] -> 1 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 11312] -> -2/a^6 + 3/a^4 + z^2/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4/a^10 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11313] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - z^2/a^6 - z^2/a^4 - 2*z^4 - 
   (2*z^4)/a^8 + (4*z^4)/a^4 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11314] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^10 - 
   (6*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11315] -> 1 + z^2 - z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + z^4/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11316] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11317] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11318] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + z^2/a^4 - 
   z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 11319] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 11320] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11321] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 11322] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11323] -> 4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 7*z^2 - 
   (2*z^2)/a^4 - 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 11324] -> 
  1 - a^(-4) + a^(-2) + a^4 - a^6 + z^2 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   2*a^4*z^2 - a^6*z^2 + (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 11325] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2/a^12 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11326] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 
   6*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 11327] -> 1 - a^2 + 2*a^4 - a^6 - z^2 - 
   z^2/a^6 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, Alternating, 11328] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + z^4/a^6 + 2*a^2*z^4 - 
   2*z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 11329] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (16*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + z^4/a^8 + (9*z^4)/a^6 - 
   (22*z^4)/a^4 + z^6 + z^6/a^8 - (13*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11330] -> 
  -3/a^8 + 4/a^6 - z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11331] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11332] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   (3*z^2)/a^16 - (15*z^2)/a^14 + (2*z^2)/a^12 + (23*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (13*z^4)/a^12 + (34*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 11333] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 13*z^2 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11334] -> 
  5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 16*a^6*z^2 - 20*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 - 4*a^4*z^4 + 21*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - 
   a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 11335] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 21*z^2 - z^2/a^4 + (8*z^2)/a^2 + 22*a^2*z^2 - 
   6*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11336] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 
   5*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11337] -> 
  -4 - a^(-6) - 3/a^4 + 9/a^2 - 12*z^2 - (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (27*z^2)/a^2 - 13*z^4 - (5*z^4)/a^6 - z^4/a^4 + (33*z^4)/a^2 - 6*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (21*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11338] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11339] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 - z^2/a^2 + 18*a^2*z^2 - 8*a^4*z^2 - 
   (4*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 11340] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11341] -> 
  -4 - 5/a^4 + 10/a^2 - 10*z^2 - (2*z^2)/a^6 - (6*z^2)/a^4 + (23*z^2)/a^2 - 
   10*z^4 - (5*z^4)/a^6 + (2*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11342] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + (8*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 + 
   (4*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 11343] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 11344] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) + z^2/a^16 - (7*z^2)/a^14 - 
   z^2/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (4*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11345] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + (5*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11346] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11347] -> 1 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   2*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 11348] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   (5*z^4)/a^10 - (11*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11349] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11350] -> 
  a^(-2) - a^2 + a^4 - z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 11351] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   5*a^4*z^2 + 2*a^6*z^2 - 8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 11352] -> 
  1 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11353] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (18*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 11354] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 11355] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 + (4*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 + (2*z^4)/a^8 - (7*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 11356] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) - (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^10 + 
   (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11357] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 - z^2/a^2 - z^4/a^10 - 
   (6*z^4)/a^8 + (18*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11358] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - 
   z^2/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11359] -> 
  -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11360] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 - z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 11361] -> 
  -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 11362] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2 + z^2/a^8 - (2*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^10 + z^4/a^8 - 
   z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11363] -> 4 - a^(-4) - 2*a^2 + 9*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11364] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11365] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 18*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (6*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 11366] -> -3 - 2/a^4 + 5/a^2 + a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 11367] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (14*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 11368] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 11369] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 
   4*z^4 + z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11370] -> 2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 5*z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11371] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^10 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 11372] -> 3 - a^(-2) - a^2 + 7*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11373] -> -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 11374] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 11375] -> -a^(-8) + 2/a^4 - z^2 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^10 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11376] -> -2*a^2 + 5*a^4 - 2*a^8 - z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 
   9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 11377] -> 2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 - 
   z^2/a^6 + (4*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, Alternating, 11378] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 
   z^2/a^4 - z^2/a^2 + 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^2 + 5*a^2*z^4 + 4*a^4*z^4 + a^6*z^4, Knot[14, Alternating, 11379] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 4*z^2 + (7*z^2)/a^6 - (7*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11380] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 11381] -> -1 + 2*a^2 + a^4 - a^8 + 2*z^2 - z^2/a^4 + 
   a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 11382] -> 1 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 11383] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 18*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (23*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 11384] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 11385] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (14*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11386] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 11387] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 6*z^2 - z^2/a^4 - 6*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + z^4 - z^4/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11388] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + 
   z^2/a^12 - (3*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11389] -> 
  2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11390] -> -2 + 6*a^2 - 3*a^4 + 2*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11391] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^4*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 11392] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 + 
   (10*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11393] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11394] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + 
   z^2/a^12 + (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11395] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - 
   (24*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (17*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 11396] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11397] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   20*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11398] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 11399] -> 2 - a^(-2) + a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11400] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   (2*z^2)/a^10 + z^2/a^8 + z^2/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11401] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 11402] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11403] -> 1 + a^6 - 2*a^8 + a^10 + z^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11404] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 11405] -> 
  -5/a^8 + 11/a^6 - 8/a^4 + 3/a^2 - (6*z^2)/a^8 + (26*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^8 + (14*z^4)/a^6 - (31*z^4)/a^4 + 
   (12*z^4)/a^2 + (4*z^6)/a^8 - (4*z^6)/a^6 - (20*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11406] -> 1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11407] -> 2 - a^(-8) - a^(-6) + 6/a^4 - 5/a^2 + 
   5*z^2 + (10*z^2)/a^4 - (12*z^2)/a^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11408] -> 
  -1 - 2/a^2 + 10*a^2 - 6*a^4 + 3*z^2 - (9*z^2)/a^2 + 31*a^2*z^2 - 
   17*a^4*z^2 + 16*z^4 - (12*z^4)/a^2 + 39*a^2*z^4 - 17*a^4*z^4 + 17*z^6 - 
   (6*z^6)/a^2 + 25*a^2*z^6 - 7*a^4*z^6 + 7*z^8 - z^8/a^2 + 8*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 11409] -> 
  3 - 3/a^2 + 5*a^2 - 4*a^4 + 13*z^2 - (2*z^2)/a^4 - (6*z^2)/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 18*z^4 - (3*z^4)/a^4 + 10*a^2*z^4 - 5*a^4*z^4 + 
   10*z^6 - z^6/a^4 + (3*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 11410] -> -a^(-4) + 6*a^2 - 4*a^4 + 8*z^2 - 
   (4*z^2)/a^4 + 11*a^2*z^2 - 8*a^4*z^2 + 16*z^4 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + 10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11411] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 9*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 9*z^4 - 
   z^4/a^6 + (7*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 11412] -> 
  2*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 11413] -> 
  -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (20*z^2)/a^4 + (9*z^2)/a^2 + (4*z^4)/a^8 + (5*z^4)/a^6 - (24*z^4)/a^4 + 
   (10*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11414] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11415] -> -2/a^2 + 8*a^2 - 5*a^4 + z^2 - (6*z^2)/a^2 + 
   25*a^2*z^2 - 13*a^4*z^2 + 9*z^4 - (8*z^4)/a^2 + 31*a^2*z^4 - 13*a^4*z^4 + 
   12*z^6 - (5*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 11416] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 10*z^2 - z^2/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + 13*z^4 - (2*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 11417] -> 1 + a^2 - 2*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11418] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11419] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11420] -> -1 + a^(-2) + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11421] -> 
  -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 4*z^2 + z^2/a^8 + z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 + a^2*z^4 - z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 11422] -> 3 - 2/a^2 - a^2 + 4*a^4 - 3*a^6 + 10*z^2 - 
   (7*z^2)/a^2 + 11*a^4*z^2 - 7*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 + 6*a^2*z^4 + 
   12*a^4*z^4 - 5*a^6*z^4 + 6*z^6 - z^6/a^2 + 5*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 11423] -> 
  3 - 2/a^2 + 2*a^4 - 2*a^6 + 5*z^2 - (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 11424] -> -a^(-4) + a^(-2) + a^2 + 2*a^4 - 2*a^6 + 
   3*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 11425] -> 
  -a^(-4) + a^(-2) + 2*a^2 - a^6 + 3*z^2 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - a^6*z^2 + 4*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, Alternating, 11426] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 11427] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   2*z^4 + (2*z^4)/a^8 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11428] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 - z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 - 
   4*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11429] -> 2*a^2 - a^4 - 3*z^2 - z^2/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + z^4 - (4*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 7*z^6 - 
   (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 11430] -> 
  -4 - 5/a^4 + 10/a^2 - 12*z^2 - (4*z^2)/a^6 - (4*z^2)/a^4 + (25*z^2)/a^2 - 
   13*z^4 - (8*z^4)/a^6 + (7*z^4)/a^4 + (30*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11431] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 + (3*z^4)/a^8 + (4*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 + 
   (4*z^6)/a^8 - (6*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11432] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - (6*z^4)/a^4 - 
   z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11433] -> 
  a^(-16) - 4/a^14 + 4/a^12 - 4/a^10 + 4/a^8 + (2*z^2)/a^16 - (10*z^2)/a^14 + 
   (6*z^2)/a^12 + (2*z^2)/a^10 + (12*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 + 
   (10*z^4)/a^12 + (12*z^4)/a^10 + (13*z^4)/a^8 - (3*z^6)/a^14 + 
   (8*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 11434] -> -4 - a^(-4) + 2/a^2 + 8*a^2 - 
   4*a^4 - 20*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 
   29*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 11435] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 11436] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (18*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 11437] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11438] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (15*z^2)/a^14 + (25*z^2)/a^10 + z^2/a^8 + z^4/a^16 - 
   (16*z^4)/a^14 + (14*z^4)/a^12 + (36*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^6)/a^14 + (13*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 11439] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - z^2/a^12 + 
   (11*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + 
   (17*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11440] -> 
  a^(-6) - a^(-4) + a^2 - 9*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11441] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11442] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 7*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 11443] -> -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11444] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   12*z^2 + z^2/a^6 - (15*z^2)/a^4 + (30*z^2)/a^2 - 13*z^4 - (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - (4*z^6)/a^6 + (6*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 11445] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 
   4*z^2 + z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11446] -> 4 - a^(-4) - 2*a^2 + 10*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11447] -> 1 - a^(-4) + a^(-2) - a^2 + 3*a^4 - 2*a^6 + 
   z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   z^4 - z^4/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11448] -> 1 - a^(-4) + a^(-2) + a^4 - a^6 - z^2/a^6 + 
   (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 11449] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 5*z^2 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11450] -> 2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11451] -> 
  a^(-16) - 4/a^14 + 3/a^12 - a^(-8) + 2/a^6 + z^2/a^16 - (7*z^2)/a^14 + 
   (7*z^2)/a^12 + z^2/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^14 + 
   (6*z^4)/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^12 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11452] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^4 - 2*a^6 - 4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 5*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 11453] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 3*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 11454] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 + z^2/a^2 + 
   a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11455] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 11456] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 + (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (33*z^4)/a^4 + (13*z^4)/a^2 + (4*z^6)/a^8 - (6*z^6)/a^6 - 
   (21*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 11457] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 24*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 
   9*a^2*z^2 - 30*z^4 + (3*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 20*z^6 + 
   (4*z^6)/a^4 - (5*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 11458] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 + (6*z^4)/a^12 - (6*z^4)/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 + 
   (5*z^6)/a^12 - (11*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 11459] -> -a^(-12) + a^(-8) + a^(-4) + z^2/a^12 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11460] -> a^(-10) - 2/a^8 + 5/a^6 - 9/a^4 + 6/a^2 + 
   (4*z^2)/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (27*z^4)/a^6 - (29*z^4)/a^4 + (6*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (19*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 11461] -> 2 + a^(-10) - 2/a^8 + 4/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11462] -> 
  3 + a^(-10) - a^(-8) + a^(-4) - 3/a^2 + 4*z^2 + (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11463] -> 1 + a^(-10) - a^(-8) + a^(-4) - 2/a^2 + 
   a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11464] -> 
  7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 - 2*a^4*z^2 + 23*a^6*z^2 - 30*a^8*z^2 + 
   17*a^10*z^2 - 3*a^12*z^2 - 7*a^4*z^4 + 30*a^6*z^4 - 34*a^8*z^4 + 
   13*a^10*z^4 - a^12*z^4 - 5*a^4*z^6 + 20*a^6*z^6 - 17*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 11465] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   4*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 11466] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   z^4/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 11467] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^8 + z^4/a^6 - 
   (21*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 11468] -> 2*a^2 - a^4 - 7*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + 
   6*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 11469] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 - z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - z^6/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 11470] -> -a^(-4) + 2/a^2 - 8*z^2 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + (4*z^4)/a^4 + 8*a^2*z^4 - 14*z^6 + 
   (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 11471] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^6 - z^4/a^4 + (21*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 11472] -> -6/a^8 + 10/a^6 - 3/a^4 - 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (30*z^2)/a^6 - (10*z^2)/a^4 - (7*z^4)/a^10 + 
   (4*z^4)/a^8 + (33*z^4)/a^6 - (12*z^4)/a^4 - (5*z^6)/a^10 + (11*z^6)/a^8 + 
   (20*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 11473] -> 
  -4/a^8 + 5/a^6 + a^(-4) - a^(-2) - (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^10 + (2*z^4)/a^8 + 
   (13*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11474] -> -1 + a^(-2) + a^2 - 9*z^2 + (4*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11475] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 
   z^2/a^4 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11476] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 15*z^2 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11477] -> 
  a^(-10) - a^(-8) + 3/a^6 - 8/a^4 + 6/a^2 + (6*z^2)/a^10 - (13*z^2)/a^8 + 
   (15*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 + (5*z^4)/a^10 - (22*z^4)/a^8 + 
   (23*z^4)/a^6 - (28*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^10 - (12*z^6)/a^8 + 
   (18*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 11478] -> 
  2 + a^(-10) - a^(-8) + 2/a^6 - 4/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   (6*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11479] -> 3 + a^(-10) - a^(-8) + a^(-6) - a^(-4) - 
   2/a^2 + 4*z^2 + (3*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11480] -> 1 + a^(-10) - a^(-8) + a^(-6) - a^(-4) - 
   a^(-2) + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11481] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11482] -> 3 - a^(-2) - a^2 + 3*z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 11483] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   2*z^2 + 10*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   15*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11484] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 - 
   z^2/a^8 + (14*z^2)/a^6 - (20*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (25*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11485] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   3*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11486] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 12*z^2 - 
   (5*z^2)/a^6 + (24*z^2)/a^2 - 13*z^4 - (8*z^4)/a^6 + (8*z^4)/a^4 + 
   (30*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11487] -> -2/a^6 + a^(-4) + 3/a^2 - a^2 + z^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11488] -> 3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + z^2/a^12 + 
   (8*z^2)/a^10 - (22*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 + 
   (4*z^4)/a^10 - (26*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11489] -> 
  2/a^10 - 4/a^8 + 3/a^4 + z^2/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - 
   (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11490] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 4*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11491] -> 
  a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 + z^2/a^16 - (7*z^2)/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (9*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11492] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (16*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 - (6*z^4)/a^10 + 
   (10*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11493] -> 7 - 4/a^2 - 2*a^4 + 16*z^2 - z^2/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 17*z^4 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11494] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 - 
   z^2/a^12 + (13*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + 
   (6*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11495] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - (4*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 - (2*z^4)/a^10 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11496] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 10*z^2 - z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11497] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + z^6 + z^6/a^8 - (13*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11498] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^4 - 
   z^4/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 11499] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (12*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + z^4/a^12 + (5*z^4)/a^10 - 
   (12*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11500] -> 
  -2 + 2/a^2 + a^4 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^4*z^2 - 
   7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11501] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11502] -> a^(-16) - 3/a^14 + 2/a^12 - a^(-10) + 
   2/a^6 - (4*z^2)/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 11503] -> 
  a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + a^(-2) + z^2/a^12 - 
   (4*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 + z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, Alternating, 11504] -> 
  3 - 2/a^2 + a^2 - a^6 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 11505] -> -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + a^2*z^2 + 
   8*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 4*a^2*z^4 + 6*a^4*z^4 - 
   a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 11506] -> 3 - a^(-2) - a^2 + 5*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11507] -> 
  -5 - 6/a^4 + 12/a^2 - 14*z^2 - (3*z^2)/a^6 - (8*z^2)/a^4 + (31*z^2)/a^2 - 
   14*z^4 - (8*z^4)/a^6 + (5*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + 
   (12*z^6)/a^4 + (21*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11508] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 11509] -> 
  -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 + z^2/a^12 - (3*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11510] -> 2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 - 
   a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 14*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 11511] -> -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11512] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 11513] -> 
  -6 + 2/a^6 - 11/a^4 + 16/a^2 - 15*z^2 + z^2/a^6 - (19*z^2)/a^4 + 
   (38*z^2)/a^2 - 14*z^4 - (4*z^4)/a^6 - (7*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - 
   (4*z^6)/a^6 + (6*z^6)/a^4 + (22*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11514] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 5*z^2 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (11*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 11515] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 12*z^2 - (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 
   6*a^2*z^2 + 11*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - z^6/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 11516] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 11517] -> 
  a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 4/a^8 + z^2/a^16 - (7*z^2)/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (10*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 11518] -> 
  a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (14*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (7*z^4)/a^10 + 
   (8*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11519] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-6) - a^(-4) + 
   a^(-2) + z^2/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11520] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 5*z^2 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11521] -> 1 - a^(-6) + 2/a^2 - a^2 + z^2 - z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 11522] -> 
  -1 + 4*a^2 - 2*a^4 - (2*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11523] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) + 
   z^2/a^12 - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11524] -> 
  1 + a^(-10) - a^(-8) + 2/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11525] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2/a^6 + z^2/a^2 - 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11526] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11527] -> 
  2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 5*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (11*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11528] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^10 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 11529] -> -a^(-6) + a^(-4) + a^(-2) - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 4*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11530] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11531] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 4*z^2 + z^2/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 11532] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, Alternating, 11533] -> 
  3*a^4 - a^6 - 4*a^8 + 5*a^10 - 2*a^12 - a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 
   11*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - 
   11*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 11534] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 11535] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (8*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^2 - 
   z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11536] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11537] -> 
  3 - a^(-2) - a^2 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + (2*z^4)/a^6 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 11538] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11539] -> a^(-12) - 2/a^10 + 2/a^4 + 
   (3*z^2)/a^12 - (5*z^2)/a^10 + (5*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11540] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11541] -> -5 - 2/a^6 - 2/a^4 + 10/a^2 - 14*z^2 - 
   (6*z^2)/a^6 + (28*z^2)/a^2 - 14*z^4 - (9*z^4)/a^6 + (10*z^4)/a^4 + 
   (33*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11542] -> 3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + 
   (2*z^2)/a^12 + (5*z^2)/a^10 - (18*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (23*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11543] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11544] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^12 + (4*z^4)/a^10 - (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11545] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11546] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 6*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11547] -> 
  1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11548] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11549] -> 3 - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11550] -> 
  2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^6 + z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 11551] -> 2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 11552] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (6*z^2)/a^10 - (11*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11553] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11554] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11555] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^10 - 
   z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11556] -> 2 + a^(-10) - a^(-8) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11557] -> a^(-10) - a^(-8) + a^2 - 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11558] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 + z^4/a^8 + 
   (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11559] -> 2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + 
   3*z^2 + (3*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11560] -> 
  1 + a^(-10) - a^(-8) + a^(-4) - 2/a^2 + a^2 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11561] -> a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^12 - 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11562] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11563] -> a^(-12) - 3/a^10 + 3/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + z^2/a^12 - z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11564] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   8*z^4 - z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - z^6/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11565] -> 2 - 2/a^6 + a^(-4) + 2/a^2 - 2*a^2 + 5*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11566] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11567] -> 2/a^10 - 4/a^8 + a^(-6) + a^(-4) + a^(-2) + 
   z^2/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11568] -> 3 + a^(-6) - 3/a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11569] -> 
  -6 - 2/a^6 - 3/a^4 + 12/a^2 - 17*z^2 - (9*z^2)/a^6 + (3*z^2)/a^4 + 
   (32*z^2)/a^2 - 17*z^4 - (12*z^4)/a^6 + (16*z^4)/a^4 + (39*z^4)/a^2 - 
   7*z^6 - (6*z^6)/a^6 + (17*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11570] -> 1 - 2/a^6 + 4/a^2 - 2*a^2 + 2*z^2 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (14*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11571] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 11572] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 11573] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11574] -> 1 + a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 11575] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 9*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 11576] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11577] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (5*z^2)/a^10 - (10*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - 
   (10*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11578] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11579] -> -8 + a^(-6) - 11/a^4 + 19/a^2 - 20*z^2 - 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (46*z^2)/a^2 - 18*z^4 - (8*z^4)/a^6 + 
   z^4/a^4 + (48*z^4)/a^2 - 7*z^6 - (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 11580] -> 8 - 2/a^6 + 3/a^4 - 4/a^2 - 
   4*a^2 + 16*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 
   14*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11581] -> -6 - 7/a^4 + 14/a^2 - 15*z^2 - (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (35*z^2)/a^2 - 14*z^4 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (38*z^4)/a^2 - 6*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11582] -> 6 - 2/a^6 + 3/a^4 - 3/a^2 - 3*a^2 + 12*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11583] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - (2*z^4)/a^6 - z^4/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 11584] -> 
  2*a^2 - a^4 - z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11585] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11586] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   22*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11587] -> a^6 + a^8 + 3*a^10 - 6*a^12 + 
   2*a^14 + a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 14*a^10*z^2 - 11*a^12*z^2 + 
   a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + 
   a^4*z^6 - a^6*z^6 - 6*a^8*z^6 + 5*a^10*z^6 - a^6*z^8 - 2*a^8*z^8, 
 Knot[14, Alternating, 11588] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11589] -> 7 - 4/a^2 - 2*a^4 + 16*z^2 - z^2/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 17*z^4 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 11590] -> 
  -2/a^6 + 3/a^4 - a^(-2) + 3*a^2 - 2*a^4 + z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^4 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 11591] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 - z^4/a^6 - (9*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11592] -> 3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + 
   z^2/a^10 - (21*z^2)/a^8 + (39*z^2)/a^6 - (12*z^2)/a^4 - (4*z^4)/a^10 - 
   (7*z^4)/a^8 + (40*z^4)/a^6 - (13*z^4)/a^4 - (4*z^6)/a^10 + (6*z^6)/a^8 + 
   (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 11593] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (9*z^4)/a^2 + (3*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 11594] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - 
   z^2/a^4 - 3*a^2*z^2 + 7*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 11595] -> -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 - 
   (2*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11596] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^2 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 11597] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 11598] -> 
  -2/a^8 + 5/a^4 - 2/a^2 - z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + 
   (10*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (12*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11599] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11600] -> -12 - 5/a^4 + 14/a^2 + 4*a^2 - 32*z^2 - 
   (4*z^2)/a^4 + (25*z^2)/a^2 + 12*a^2*z^2 - 35*z^4 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 + (4*z^6)/a^4 - (5*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 11601] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 7*z^2 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11602] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 + z^2 - 
   7*a^4*z^2 + 23*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 2*z^4 - a^2*z^4 - 
   10*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 11603] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11604] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 11605] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11606] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11607] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11608] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (2*z^2)/a^10 - (20*z^2)/a^8 + (35*z^2)/a^6 - (10*z^2)/a^4 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (37*z^4)/a^6 - (12*z^4)/a^4 - (4*z^6)/a^10 + (5*z^6)/a^8 + 
   (21*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 11609] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) - (6*z^2)/a^8 + (9*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11610] -> -4/a^6 + 7/a^4 - 2/a^2 - z^2/a^10 + 
   z^2/a^8 - (5*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 - z^4/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 11611] -> a^(-10) - 6/a^8 + 6/a^6 + 
   a^(-4) - a^(-2) - (10*z^2)/a^8 + (18*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^10 - (6*z^4)/a^8 + (21*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11612] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11613] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 5*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11614] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 2*z^2 - z^2/a^10 + z^2/a^8 + 
   z^2/a^6 + (5*z^2)/a^2 - z^4 - z^4/a^10 + (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11615] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11616] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (9*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11617] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11618] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11619] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 - 
   z^2/a^10 + z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^10 + 
   z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11620] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 11621] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 2*z^2 - 
   z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   z^4/a^10 + z^4/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11622] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 - z^2/a^8 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 11623] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 - z^2/a^6 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 11624] -> a^(-16) - 4/a^14 + 3/a^12 + a^(-4) - 
   (3*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 11625] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 
   10*z^2 + (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11626] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 + (6*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 + (2*z^4)/a^8 - (8*z^4)/a^6 - (10*z^4)/a^4 - z^6/a^8 - 
   (4*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 11627] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^10 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 + z^4 + z^4/a^10 - (6*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 11628] -> -5/a^8 + 11/a^6 - 8/a^4 + 3/a^2 - 
   (6*z^2)/a^8 + (26*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^8 + 
   (14*z^4)/a^6 - (31*z^4)/a^4 + (12*z^4)/a^2 + (4*z^6)/a^8 - (4*z^6)/a^6 - 
   (20*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 11629] -> 
  1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11630] -> 2 - a^(-8) - a^(-6) + 6/a^4 - 5/a^2 + 
   5*z^2 + (10*z^2)/a^4 - (12*z^2)/a^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11631] -> 
  -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 24*z^2 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 30*z^4 - (4*z^4)/a^4 + 
   (20*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11632] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 11633] -> 
  a^(-10) - 3/a^8 + 7/a^6 - 10/a^4 + 6/a^2 + (4*z^2)/a^10 - (12*z^2)/a^8 + 
   (21*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 + (4*z^4)/a^10 - (19*z^4)/a^8 + 
   (27*z^4)/a^6 - (29*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (19*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 11634] -> 
  2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11635] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (4*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^12 - z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11636] -> 
  2 + a^(-10) - 2/a^8 + 4/a^6 - 5/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11637] -> 4 + a^(-10) - a^(-8) - a^(-6) + 4/a^4 - 
   6/a^2 + 4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 - 
   (13*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (9*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11638] -> 
  a^6 - a^8 + 9*a^10 - 12*a^12 + 4*a^14 + 6*a^6*z^2 - 7*a^8*z^2 + 
   32*a^10*z^2 - 26*a^12*z^2 + 4*a^14*z^2 + 11*a^6*z^4 - 17*a^8*z^4 + 
   40*a^10*z^4 - 16*a^12*z^4 + a^14*z^4 + 6*a^6*z^6 - 17*a^8*z^6 + 
   19*a^10*z^6 - 3*a^12*z^6 + a^6*z^8 - 7*a^8*z^8 + 3*a^10*z^8 - a^8*z^10, 
 Knot[14, Alternating, 11639] -> a^6 + 2*a^8 + a^10 - 5*a^12 + 2*a^14 + 
   a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 + 7*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 
   3*a^4*z^4 + 3*a^8*z^4 + 10*a^10*z^4 - 3*a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   2*a^8*z^6 + 3*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, Alternating, 11640] -> 2*a^6 + a^8 - a^10 - 2*a^12 + a^14 + 
   2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 3*a^12*z^2 + a^2*z^4 + 
   a^4*z^4 + 3*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, Alternating, 11641] -> -5 - a^(-4) + 4/a^2 + 2*a^2 + 3*a^4 - 
   2*a^6 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 7*z^4 - z^4/a^4 + (8*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11642] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 11643] -> -2 + a^(-10) - a^(-8) + a^(-2) + 2*a^2 - 
   5*z^2 + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 11644] -> 
  4 + a^(-10) - a^(-8) + a^(-6) - 4/a^2 + 4*z^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11645] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 
   3*z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 11646] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^8 - (2*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 11647] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 - 
   9*z^4 - z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11648] -> 
  3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + z^2/a^10 - (21*z^2)/a^8 + (39*z^2)/a^6 - 
   (12*z^2)/a^4 - (4*z^4)/a^10 - (7*z^4)/a^8 + (40*z^4)/a^6 - (13*z^4)/a^4 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 11649] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11650] -> a^(-10) - 3/a^8 + 9/a^6 - 
   14/a^4 + 8/a^2 + (4*z^2)/a^10 - (14*z^2)/a^8 + (26*z^2)/a^6 - 
   (33*z^2)/a^4 + (12*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (31*z^4)/a^6 - 
   (31*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[14, Alternating, 11651] -> 4 + a^(-10) - 2/a^8 + 3/a^6 - 
   a^(-4) - 4/a^2 + 4*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (10*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11652] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 8*z^2 - (5*z^2)/a^8 + 
   (20*z^2)/a^6 - (33*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (38*z^4)/a^4 + (28*z^4)/a^2 - z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (22*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 11653] -> 
  4 + a^(-10) - a^(-8) + 2/a^4 - 5/a^2 + 4*z^2 + (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (12*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (5*z^4)/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11654] -> -1 + a^(-10) - a^(-8) + a^(-4) - a^(-2) + 
   2*a^2 - 4*z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11655] -> 
  -1 + a^(-10) - a^(-8) + a^(-6) - a^(-4) + 2*a^2 - 4*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + 
   z^4/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11656] -> 3 + a^(-10) - 3/a^8 + 5/a^6 - 3/a^4 - 
   2/a^2 + 4*z^2 + (3*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11657] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^2 + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11658] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (2*z^2)/a^10 - (20*z^2)/a^8 + (35*z^2)/a^6 - (10*z^2)/a^4 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (37*z^4)/a^6 - (12*z^4)/a^4 - (4*z^6)/a^10 + (5*z^6)/a^8 + 
   (21*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 11659] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) - (6*z^2)/a^8 + (9*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11660] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 11661] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 
   11*z^2 - (3*z^2)/a^6 - (4*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 11662] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 + z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11663] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-2) + 
   z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^2 + z^4/a^12 - 
   z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11664] -> 
  a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + a^(-2) + z^2/a^12 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - z^4/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11665] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11666] -> -6 - 7/a^4 + 14/a^2 - 15*z^2 - (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (35*z^2)/a^2 - 14*z^4 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (38*z^4)/a^2 - 6*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 11667] -> -a^(-12) + 7/a^10 - 12/a^8 + 5/a^6 + 2/a^4 + 
   (12*z^2)/a^10 - (26*z^2)/a^8 + (9*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (6*z^4)/a^10 - (26*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 11668] -> a^(-10) - 4/a^6 + 3/a^4 + 
   a^(-2) + z^2/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 11669] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11670] -> 
  2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (10*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11671] -> 
  a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11672] -> a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + a^(-2) + 
   a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11673] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^12 - z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11674] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + 3/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11675] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (16*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 - (6*z^4)/a^10 + 
   (10*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11676] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 15*z^2 + 
   z^2/a^6 - (19*z^2)/a^4 + (38*z^2)/a^2 - 14*z^4 - (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - (4*z^6)/a^6 + (6*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 11677] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 
   4/a^2 - 5*z^2 - (6*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (11*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11678] -> 2 + a^(-10) - a^(-8) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11679] -> 1 + a^(-10) - 2/a^8 + 4/a^6 - 6/a^4 + 
   3/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11680] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (23*z^2)/a^2 - 10*z^4 - (2*z^4)/a^6 - (7*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (17*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11681] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + z^2/a^6 - (15*z^2)/a^4 + 
   (30*z^2)/a^2 - 13*z^4 - (4*z^4)/a^6 - (6*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - 
   (4*z^6)/a^6 + (6*z^6)/a^4 + (21*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 11682] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 11683] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - z^2/a^10 + z^2/a^8 - (5*z^2)/a^6 + (15*z^2)/a^4 - 
   (5*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 + (12*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (2*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 11684] -> 
  -1 + a^(-10) - a^(-8) - a^(-6) + 3/a^4 - 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11685] -> -1 + a^(-10) - a^(-8) + a^(-2) + a^4 - 
   2*z^2 - (2*z^2)/a^8 - z^2/a^6 - 2*a^2*z^2 + z^4 + z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[14, Alternating, 11686] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11687] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11688] -> 
  -1 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 + 2*a^2 - 4*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11689] -> a^(-10) - a^(-8) + a^(-4) - a^(-2) + a^4 - 
   2*z^2 - (2*z^2)/a^8 - z^2/a^6 - z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2, Knot[14, Alternating, 11690] -> 
  a^(-10) - a^(-8) + a^(-6) - a^(-4) + a^4 - z^2 - (2*z^2)/a^8 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 + z^4/a^4 + z^4/a^2, 
 Knot[14, Alternating, 11691] -> -8 + a^(-6) - 11/a^4 + 19/a^2 - 20*z^2 - 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (46*z^2)/a^2 - 18*z^4 - (8*z^4)/a^6 + 
   z^4/a^4 + (48*z^4)/a^2 - 7*z^6 - (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 11692] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 
   8*z^2 - (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (13*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 11693] -> -a^(-12) + 6/a^10 - 8/a^8 + 4/a^4 + 
   (9*z^2)/a^10 - (16*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (16*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11694] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 - 3*z^2 + (2*z^2)/a^2 + a^4*z^2 + a^6*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11695] -> 
  3 - a^(-2) - a^2 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11696] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11697] -> -12 + a^(-6) - 7/a^4 + 15/a^2 + 4*a^2 - 
   24*z^2 + (5*z^2)/a^6 - (23*z^2)/a^4 + (38*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (8*z^4)/a^6 - (30*z^4)/a^4 + (39*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 11698] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 11699] -> 
  -13 - 4/a^4 + 12/a^2 + 8*a^2 - 2*a^4 - 35*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 36*z^4 - z^4/a^4 + (14*z^4)/a^2 + 
   33*a^2*z^4 - 9*a^4*z^4 - 17*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11700] -> 
  -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 7*z^2 + 27*a^2*z^2 - 34*a^4*z^2 + 
   22*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 33*a^2*z^4 - 36*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11701] -> 
  -1 + 4*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11702] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 11703] -> 
  -1 + 4*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11704] -> 
  -7 - a^(-6) + 6/a^2 + 3*a^2 - 20*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (19*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11705] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11706] -> -2 + 9*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 
   5*z^2 + 21*a^2*z^2 - 29*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 
   20*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 11707] -> 1 - 2/a^8 + 7/a^6 - 10/a^4 + 
   6/a^2 - a^2 + 3*z^2 - z^2/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[14, Alternating, 11708] -> 
  -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 5*z^2 + 22*a^2*z^2 - 29*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 6*z^4 + 25*a^2*z^4 - 32*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11709] -> 
  a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11710] -> 
  -4 - a^(-8) + 8/a^6 - 18/a^4 + 16/a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (20*z^2)/a^6 - (43*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + 
   (20*z^4)/a^6 - (43*z^4)/a^4 + (29*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (23*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 11711] -> 
  -2 + 9*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 8*z^2 + 28*a^2*z^2 - 32*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 35*a^2*z^4 - 34*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11712] -> 
  -10 + 4/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 23*z^2 + (6*z^2)/a^2 + 28*a^2*z^2 - 
   19*a^4*z^2 + 5*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11713] -> 
  -12 + 4/a^2 + 17*a^2 - 11*a^4 + 3*a^6 - 30*z^2 + (8*z^2)/a^2 + 39*a^2*z^2 - 
   25*a^4*z^2 + 6*a^6*z^2 - 28*z^4 + (5*z^4)/a^2 + 39*a^2*z^4 - 24*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + z^6/a^2 + 22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11714] -> 
  2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + a^4*z^2 + 12*a^6*z^2 - 19*a^8*z^2 + 
   14*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 20*a^6*z^4 - 26*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 11715] -> -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 
   12*a^4*z^2 + 35*a^6*z^2 - 12*a^8*z^2 - 3*a^10*z^2 - 13*a^4*z^4 + 
   36*a^6*z^4 + 5*a^8*z^4 - 8*a^10*z^4 - 6*a^4*z^6 + 21*a^6*z^6 + 
   12*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 11716] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 22*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (35*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (38*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11717] -> 4*a^2 - 8*a^4 + 11*a^6 - 9*a^8 + 3*a^10 + 
   8*a^2*z^2 - 22*a^4*z^2 + 29*a^6*z^2 - 23*a^8*z^2 + 7*a^10*z^2 + 
   5*a^2*z^4 - 25*a^4*z^4 + 32*a^6*z^4 - 25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 
   12*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 11718] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 16*a^4*z^2 + 
   5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11719] -> 
  2 + a^2 - 6*a^4 + 5*a^6 - a^8 - z^2 + 7*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 
   4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11720] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 35*z^2 - (5*z^2)/a^4 + (22*z^2)/a^2 + 
   22*a^2*z^2 - 5*a^4*z^2 - 38*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11721] -> -4*a^4 + 16*a^6 - 16*a^8 + 6*a^10 - a^12 - 
   12*a^4*z^2 + 41*a^6*z^2 - 27*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   13*a^4*z^4 + 41*a^6*z^4 - 11*a^8*z^4 - 2*a^10*z^4 - 6*a^4*z^6 + 
   22*a^6*z^6 + 5*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 5*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 11722] -> 
  -9 - 2/a^4 + 7/a^2 + 6*a^2 - a^6 - 20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   10*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 11723] -> 
  5*a^6 - 5*a^8 + a^10 + 3*a^2*z^2 - 9*a^4*z^2 + 21*a^6*z^2 - 12*a^8*z^2 + 
   2*a^10*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 
   4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11724] -> 
  a^(-14) - 6/a^12 + 13/a^10 - 15/a^8 + 8/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (25*z^2)/a^10 - (33*z^2)/a^8 + (20*z^2)/a^6 + z^4/a^12 + (13*z^4)/a^10 - 
   (33*z^4)/a^8 + (18*z^4)/a^6 + (4*z^6)/a^12 - (4*z^6)/a^10 - (20*z^6)/a^8 + 
   (7*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 11725] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + a^(-6) + 2/a^4 - (5*z^2)/a^12 + 
   (17*z^2)/a^10 - (16*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + 
   (11*z^4)/a^10 - (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11726] -> a^(-14) - 5/a^12 + 7/a^10 - 2/a^8 - 4/a^6 + 
   4/a^4 - (3*z^2)/a^12 + (11*z^2)/a^10 - (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (10*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11727] -> a^2 + a^6 - a^8 - z^2 + 6*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11728] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11729] -> 
  2 - 2*a^2 + a^4 - 5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11730] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11731] -> -2 + 2/a^2 + a^4 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11732] -> 2 + a^(-4) - 2/a^2 - z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (22*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 11733] -> -12 + 4/a^2 + 18*a^2 - 13*a^4 + 
   4*a^6 - 30*z^2 + (8*z^2)/a^2 + 41*a^2*z^2 - 30*a^4*z^2 + 8*a^6*z^2 - 
   28*z^4 + (5*z^4)/a^2 + 40*a^2*z^4 - 28*a^4*z^4 + 5*a^6*z^4 - 12*z^6 + 
   z^6/a^2 + 22*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11734] -> 
  -10 + 4/a^2 + 13*a^2 - 9*a^4 + 3*a^6 - 23*z^2 + (6*z^2)/a^2 + 29*a^2*z^2 - 
   22*a^4*z^2 + 6*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11735] -> 
  -14 - 2/a^4 + 9/a^2 + 11*a^2 - 3*a^4 - 35*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 30*a^2*z^2 - 9*a^4*z^2 - 34*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   36*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 
   3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11736] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 18*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (30*z^2)/a^2 + 4*a^2*z^2 - 23*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (30*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 11737] -> -8 + 4/a^2 + 5*a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 
   14*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 + 6*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 
   9*z^4 + z^4/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 11738] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - 
   z^2/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11739] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   28*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (6*z^4)/a^4 + (24*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11740] -> -4 + 12*a^2 - 11*a^4 + 6*a^6 - 2*a^8 - 
   8*z^2 + 28*a^2*z^2 - 29*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 
   27*a^2*z^4 - 34*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   21*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 11741] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 
   4*a^4 - 30*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 
   34*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 21*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 11742] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + 
   (17*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (23*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 11743] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11744] -> a^(-10) - 7/a^8 + 13/a^6 - 
   10/a^4 + 4/a^2 + (4*z^2)/a^10 - (18*z^2)/a^8 + (34*z^2)/a^6 - 
   (25*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + (36*z^4)/a^6 - 
   (26*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + (21*z^6)/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[14, Alternating, 11745] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (5*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11746] -> a^(-14) - 5/a^12 + 8/a^10 - 4/a^8 - 3/a^6 + 
   4/a^4 - (3*z^2)/a^12 + (13*z^2)/a^10 - (11*z^2)/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (14*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11747] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 
   2/a^4 - (5*z^2)/a^12 + (18*z^2)/a^10 - (19*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 + z^4/a^12 + (11*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11748] -> 
  -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 5*z^2 + 23*a^2*z^2 - 32*a^4*z^2 + 
   22*a^6*z^2 - 4*a^8*z^2 - 6*z^4 + 25*a^2*z^4 - 33*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11749] -> 
  4 - 2/a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11750] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 - z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11751] -> 
  2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 11752] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11753] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11754] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11755] -> -2 + 10*a^2 - 14*a^4 + 10*a^6 - 3*a^8 - 
   8*z^2 + 29*a^2*z^2 - 35*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   35*a^2*z^4 - 35*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 5*z^6 + 22*a^2*z^6 - 
   16*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11756] -> 6*a^6 - 7*a^8 + 2*a^10 + 2*a^2*z^2 - 
   8*a^4*z^2 + 23*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11757] -> -2 + 10*a^2 - 15*a^4 + 12*a^6 - 4*a^8 - 
   7*z^2 + 29*a^2*z^2 - 39*a^4*z^2 + 24*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 
   34*a^2*z^4 - 40*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 5*z^6 + 21*a^2*z^6 - 
   18*a^4*z^6 + 3*a^6*z^6 - z^8 + 7*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11758] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 11759] -> 
  2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 + a^4*z^2 + 15*a^6*z^2 - 
   27*a^8*z^2 + 17*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 21*a^6*z^4 - 
   31*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 15*a^6*z^6 - 
   16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 11760] -> 2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 + 
   a^4*z^2 + 15*a^6*z^2 - 27*a^8*z^2 + 17*a^10*z^2 - 3*a^12*z^2 - 4*a^4*z^4 + 
   21*a^6*z^4 - 31*a^8*z^4 + 13*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   15*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 11761] -> 4*a^6 - 8*a^8 + 14*a^10 - 
   13*a^12 + 4*a^14 + 12*a^6*z^2 - 22*a^8*z^2 + 39*a^10*z^2 - 26*a^12*z^2 + 
   4*a^14*z^2 + 13*a^6*z^4 - 27*a^8*z^4 + 42*a^10*z^4 - 16*a^12*z^4 + 
   a^14*z^4 + 6*a^6*z^6 - 19*a^8*z^6 + 19*a^10*z^6 - 3*a^12*z^6 + a^6*z^8 - 
   7*a^8*z^8 + 3*a^10*z^8 - a^8*z^10, Knot[14, Alternating, 11762] -> 
  -a^4 + 8*a^6 - 8*a^8 + 2*a^10 + 2*a^2*z^2 - 10*a^4*z^2 + 28*a^6*z^2 - 
   18*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 32*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11763] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 + 2*a^2*z^2 - 
   10*a^4*z^2 + 28*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 32*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11764] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11765] -> -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 
   19*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11766] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - 
   a^4 - 29*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   29*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 11767] -> 
  a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11768] -> 
  a^2 + a^6 - a^8 - z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 11769] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 
   2*a^6 - 20*z^2 + (6*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11770] -> 
  -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 2*a^2*z^2 - 7*a^4*z^2 + 34*a^6*z^2 - 
   17*a^8*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 32*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 11771] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - (5*z^2)/a^12 + (18*z^2)/a^10 - 
   (22*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (11*z^4)/a^10 - 
   (22*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11772] -> -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 
   32*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 31*a^2*z^2 - 9*a^4*z^2 - 36*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11773] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11774] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 11775] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 5*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (28*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (16*z^4)/a^6 - (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (17*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 11776] -> -10 + 4/a^2 + 11*a^2 - 5*a^4 + 
   a^6 - 23*z^2 + (6*z^2)/a^2 + 26*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   21*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11777] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + 
   z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 11778] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11779] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11780] -> 2 + a^2 - 7*a^4 + 7*a^6 - 2*a^8 - z^2 + 
   7*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   25*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11781] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11782] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11783] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 11784] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 9*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (22*z^2)/a^4 + (26*z^2)/a^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11785] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11786] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 26*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (25*z^2)/a^2 + 8*a^2*z^2 - 29*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (25*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 11787] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11788] -> 
  -10 + 4/a^2 + 11*a^2 - 5*a^4 + a^6 - 23*z^2 + (7*z^2)/a^2 + 22*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 11789] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (21*z^4)/a^6 - 
   (20*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (16*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 11790] -> 2*a^2 - a^4 - 3*z^2 + 11*a^2*z^2 - 
   12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 21*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11791] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 11792] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11793] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11794] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + 2*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11795] -> 3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11796] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11797] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11798] -> -a^(-4) + 2/a^2 - 6*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11799] -> -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11800] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 11801] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11802] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11803] -> a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11804] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (16*z^4)/a^6 - (25*z^4)/a^4 + (16*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 11805] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11806] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11807] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11808] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 11809] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11810] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11811] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11812] -> -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11813] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11814] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + (6*z^4)/a^10 - (15*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11815] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (18*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + z^6 + z^6/a^8 - (13*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11816] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11817] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 5*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 11818] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + z^4/a^6 - (8*z^4)/a^4 + (23*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 11819] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 21*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - (6*z^4)/a^4 + (22*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11820] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (28*z^2)/a^4 + (18*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (20*z^4)/a^6 - 
   (38*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (23*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 11821] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 14*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 
   19*z^4 + (3*z^4)/a^2 + 34*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 22*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11822] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 - (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11823] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11824] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11825] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 5*z^2 + 
   z^2/a^4 + a^4*z^2 - 3*z^4 - z^4/a^4 - a^4*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11826] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11827] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 
   10*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   26*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11828] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11829] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 3*z^2 + 14*a^2*z^2 - 22*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11830] -> 
  2 - 4*a^4 + 4*a^6 - a^8 + 2*z^2 - z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 11831] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   13*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 11832] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   11*z^2 - z^2/a^8 + (6*z^2)/a^6 - (21*z^2)/a^4 + (30*z^2)/a^2 - 11*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (26*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11833] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 5*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 
   4*a^10*z^2 - 8*a^4*z^4 + 19*a^6*z^4 + 11*a^8*z^4 - 8*a^10*z^4 - 
   5*a^4*z^6 + 14*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 11834] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 10*a^6*z^4 + 
   4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 11835] -> 
  a^2 - a^4 + 6*a^6 - 8*a^8 + 3*a^10 + 4*a^2*z^2 - 11*a^4*z^2 + 24*a^6*z^2 - 
   23*a^8*z^2 + 7*a^10*z^2 + 4*a^2*z^4 - 19*a^4*z^4 + 31*a^6*z^4 - 
   25*a^8*z^4 + 5*a^10*z^4 + a^2*z^6 - 11*a^4*z^6 + 20*a^6*z^6 - 12*a^8*z^6 + 
   a^10*z^6 - 2*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, Alternating, 11836] -> a^2 + a^4 + a^6 - 4*a^8 + 2*a^10 + z^2 - 
   a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + z^4 - 4*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 11837] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 2*z^2 + 11*a^2*z^2 - 21*a^4*z^2 + 
   15*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 25*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11838] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11839] -> 2 - 4*a^4 + 4*a^6 - a^8 + 2*z^2 - z^2/a^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 5*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 11840] -> -6 + a^(-2) + 13*a^2 - 9*a^4 + 
   2*a^6 - 14*z^2 + (2*z^2)/a^2 + 28*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11841] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11842] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11843] -> 
  a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 - 
   15*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 24*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11844] -> a^2 + 2*a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11845] -> 
  -2 + a^(-2) + a^2 + 4*a^4 - 4*a^6 + a^8 - 2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - 2*z^4 + z^4/a^2 + 7*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 11846] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 23*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11847] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (12*z^2)/a^8 + (26*z^2)/a^6 - (15*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 + z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11848] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   3*z^2 - z^2/a^2 + 19*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   (2*z^4)/a^2 + 16*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 11849] -> 
  -7 + 2/a^6 - 10/a^4 + 15/a^2 + a^2 - 19*z^2 + (5*z^2)/a^6 - (24*z^2)/a^4 + 
   (38*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + 
   (41*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (23*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11850] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   34*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 39*z^4 - 
   (3*z^4)/a^4 + (21*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11851] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 11852] -> a^(-2) - a^2 + a^4 + z^2/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 11853] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11854] -> a^(-2) - a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11855] -> 
  1 + 4*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11856] -> -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11857] -> -2 + 2/a^2 + a^4 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11858] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + z^2/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11859] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11860] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11861] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 8*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 11862] -> 
  -9 + 4/a^2 + 8*a^2 - 2*a^4 - 25*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (5*z^4)/a^4 + (19*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11863] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 3*z^2 + 12*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11864] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11865] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + 8*z^4 - z^4/a^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   z^6/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 11866] -> -3 + a^(-2) + 8*a^2 - 8*a^4 + 3*a^6 - 
   13*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 11867] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11868] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   8*z^2 + z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11869] -> -3 + 9*a^2 - 6*a^4 + a^6 - 12*z^2 + 
   z^2/a^2 + 28*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   33*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11870] -> -4 + 3/a^2 + 3*a^4 - a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11871] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 12*a^2*z^2 - 17*a^4*z^2 + 
   16*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11872] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11873] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + 
   2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11874] -> -3/a^4 + 5/a^2 - a^2 - z^2/a^6 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (2*z^4)/a^6 - z^4/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 11875] -> 
  5 - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   4*a^2*z^2 + 9*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11876] -> -5 + a^(-2) + 13*a^2 - 12*a^4 + 4*a^6 - 
   16*z^2 + (3*z^2)/a^2 + 33*a^2*z^2 - 29*a^4*z^2 + 8*a^6*z^2 - 19*z^4 + 
   (3*z^4)/a^2 + 37*a^2*z^4 - 28*a^4*z^4 + 5*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 11877] -> -1 + a^(-2) + 4*a^4 - 5*a^6 + 
   2*a^8 - 7*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 10*a^6*z^2 + 
   3*a^8*z^2 - 7*z^4 + z^4/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - 8*a^6*z^4 + 
   a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 11878] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 + 3*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 11879] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 2*z^2 + 13*a^2*z^2 - 26*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 29*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11880] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11881] -> 3 - a^(-4) + a^(-2) - 4*a^2 + 3*a^4 - a^6 + 
   5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11882] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11883] -> a^2 - 3*a^4 + 9*a^6 - 8*a^8 + 2*a^10 + 
   a^2*z^2 - 7*a^4*z^2 + 23*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 11884] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 11885] -> 
  -1 + a^(-2) - a^2 + 5*a^4 - 4*a^6 + a^8 - 5*a^2*z^2 + 10*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + z^6/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11886] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (19*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (22*z^4)/a^4 + 
   z^4/a^2 + z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 11887] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 
   3*a^8 - 5*z^2 + 18*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 
   19*a^2*z^4 - 25*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 11888] -> a^(-14) - 5/a^12 + 10/a^10 - 
   10/a^8 + 3/a^6 + 2/a^4 - (5*z^2)/a^12 + (20*z^2)/a^10 - (24*z^2)/a^8 + 
   (7*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (12*z^4)/a^10 - (25*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11889] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11890] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11891] -> 1 + 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 11892] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11893] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 11894] -> -1 - 2/a^4 + 4/a^2 - 11*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (22*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 11895] -> -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - 
   (5*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11896] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   24*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 32*a^2*z^4 - 9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11897] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11898] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11899] -> 
  a^2 + a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   6*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11900] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (26*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (8*z^4)/a^6 - (29*z^4)/a^4 + 
   (33*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 11901] -> -2 + 7*a^2 - 5*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 
   26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11902] -> 1 + z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 11903] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11904] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11905] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11906] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11907] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11908] -> a^(-2) - a^2 + a^4 + 2*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11909] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11910] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11911] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 11912] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11913] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 - 5*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11914] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11915] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11916] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11917] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11918] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 11919] -> 
  2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 11920] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11921] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11922] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 11923] -> 
  -1 - 2/a^4 + 4/a^2 - 8*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 
   a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (26*z^4)/a^2 + 2*a^2*z^4 - 
   8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11924] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11925] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 11926] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11927] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11928] -> 2 - a^(-4) + a^(-2) - 3*a^2 + 
   4*a^4 - 2*a^6 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 11929] -> -3 - a^(-4) + 3/a^2 + a^2 + 
   3*a^4 - 2*a^6 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 4*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11930] -> a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + 3/a^4 - 
   (5*z^2)/a^12 + (17*z^2)/a^10 - (15*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + 
   (10*z^4)/a^10 - (13*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 11931] -> 
  -5 + 3/a^2 + 3*a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11932] -> 2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11933] -> 3*a^2 - 3*a^4 + a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11934] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11935] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11936] -> 
  -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 9*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (21*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (35*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11937] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 3*z^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 
   24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11938] -> -3 + 9*a^2 - 6*a^4 + a^6 - 19*z^2 + 
   (5*z^2)/a^2 + 29*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 30*z^4 + (9*z^4)/a^2 + 
   33*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 
   3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11939] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11940] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 11941] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11942] -> 
  2*a^4 - a^8 + 3*z^2 - z^2/a^2 - a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 11943] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 11944] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11945] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 20*a^6*z^2 - 
   5*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11946] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11947] -> a^2 + a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11948] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 11949] -> a^(-2) - a^2 + a^4 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11950] -> 
  5 - a^(-8) + a^(-6) + a^(-4) - 3/a^2 - 2*a^2 + 10*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11951] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11952] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 11953] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - 6*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11954] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11955] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 11956] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 
   3*a^2 - 14*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 
   14*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11957] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 + (2*z^2)/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + z^4 + z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11958] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   3*z^2 + z^2/a^6 - z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11959] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 11960] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 11961] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 11962] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11963] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 - (7*z^4)/a^8 + (15*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 11964] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   6*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11965] -> a^2 + a^4 - 2*a^8 + a^10 + 7*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11966] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 11967] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11968] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 3*z^2 + 
   a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11969] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 + z^4/a^2 + 6*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11970] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (6*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (21*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 11971] -> 
  a^2 + a^6 - a^8 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 
   3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 11972] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 11973] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11974] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 11975] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 11976] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11977] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11978] -> 5*a^2 - 7*a^4 + 3*a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 19*a^4*z^2 + 6*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11979] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 11980] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 11981] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 11982] -> 3 - a^(-2) - a^2 - 6*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 11983] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 26*z^2 - 
   (4*z^2)/a^4 + (20*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11984] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   26*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 11985] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - z^2 - z^2/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + (21*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (5*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 11986] -> 
  -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 11*a^4*z^2 + 34*a^6*z^2 - 13*a^8*z^2 - 
   2*a^10*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 32*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 11987] -> 
  -4*a^4 + 12*a^6 - 7*a^8 - 16*a^4*z^2 + 42*a^6*z^2 - 12*a^8*z^2 - 
   4*a^10*z^2 - 17*a^4*z^4 + 48*a^6*z^4 + 2*a^8*z^4 - 8*a^10*z^4 - 
   7*a^4*z^6 + 27*a^6*z^6 + 11*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 8*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 11988] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 4*a^2*z^2 + 
   24*a^6*z^2 - 9*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 21*a^6*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 11989] -> 
  -8 + 4/a^2 + 9*a^2 - 7*a^4 + 3*a^6 - 26*z^2 + (8*z^2)/a^2 + 29*a^2*z^2 - 
   25*a^4*z^2 + 8*a^6*z^2 - 27*z^4 + (5*z^4)/a^2 + 34*a^2*z^4 - 27*a^4*z^4 + 
   5*a^6*z^4 - 12*z^6 + z^6/a^2 + 21*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11990] -> 
  a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 4/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (20*z^2)/a^10 - (21*z^2)/a^8 + (16*z^2)/a^6 + z^4/a^12 + (12*z^4)/a^10 - 
   (27*z^4)/a^8 + (17*z^4)/a^6 + (4*z^6)/a^12 - (4*z^6)/a^10 - (19*z^6)/a^8 + 
   (7*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 11991] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - (3*z^2)/a^12 + (11*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 11992] -> -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 
   (2*z^2)/a^2 + 16*a^2*z^2 - 23*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 11993] -> -11 + 3/a^2 + 15*a^2 - 6*a^4 - 31*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 34*a^2*z^2 - 10*a^4*z^2 - 33*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 37*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11994] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 30*a^2*z^2 - 9*a^4*z^2 - 33*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 11995] -> -8 + 4/a^2 + 9*a^2 - 6*a^4 + a^6 + a^8 - 
   14*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 
   9*z^4 + z^4/a^2 + 7*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 11996] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 4*z^2 - z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 11997] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 3*a^2*z^2 + 2*a^4*z^2 + 14*a^6*z^2 - 
   2*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 21*a^6*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 11998] -> 
  -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^12 - (15*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 11999] -> 
  1 + 2*z^2 + z^2/a^10 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 12000] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2/a^2 + 8*a^2*z^2 - 13*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 12001] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + (3*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 + (3*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12002] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 12003] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12004] -> 1 + 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12005] -> 
  -a^(-8) + 2/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + 
   z^4/a^12 + (3*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12006] -> -a^(-4) + 2/a^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12007] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12008] -> 
  -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12009] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12010] -> 
  -a^(-4) + 2/a^2 - 9*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 
   2*a^2*z^2 - 19*z^4 + z^4/a^6 - (8*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 12011] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 12012] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 12013] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12014] -> 
  -3 + 2/a^2 + 2*a^2 - 18*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 24*z^4 - (6*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12015] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12016] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12017] -> -6 + 3/a^2 + 5*a^2 - a^4 - 21*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12018] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   10*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12019] -> -6 + 3/a^2 + 5*a^2 - a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - 
   (5*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12020] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 12021] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12022] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 25*a^2*z^2 - 9*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12023] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 5*a^4*z^2 + 
   14*a^6*z^2 + 6*a^8*z^2 - 7*a^10*z^2 - 8*a^4*z^4 + 18*a^6*z^4 + 
   16*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 12024] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 
   2*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 15*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12025] -> 
  -1 + a^(-2) + 4*a^2 - 6*a^4 + 3*a^6 - 12*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 
   24*a^4*z^2 + 8*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 27*a^4*z^4 + 
   5*a^6*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12026] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 5*z^2 - z^2/a^2 + 16*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + z^4/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 12027] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + 9*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 4*z^4 + z^4/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 12028] -> -2*a^4 + 8*a^6 - 5*a^8 - 2*a^2*z^2 - 
   4*a^4*z^2 + 23*a^6*z^2 - 6*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   26*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 12029] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12030] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12031] -> -4 + 2/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12032] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12033] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - z^2/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 12034] -> a^2 + a^6 - a^8 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 12035] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - a^2*z^2 - 6*a^4*z^2 + 25*a^6*z^2 - 
   9*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 27*a^6*z^4 - 2*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12036] -> 
  a^(-14) - 4/a^12 + 3/a^10 + a^(-4) - (5*z^2)/a^12 + (11*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (8*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12037] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (17*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12038] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (16*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 12039] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12040] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 18*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12041] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12042] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   10*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   24*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12043] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12044] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 12045] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12046] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 16*a^2*z^2 - 23*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 23*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12047] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 18*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12048] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12049] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 21*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   28*a^2*z^2 - 10*a^4*z^2 - 27*z^4 - z^4/a^4 + (10*z^4)/a^2 + 36*a^2*z^4 - 
   10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12050] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12051] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 12052] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12053] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12054] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 
   6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 12055] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12056] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 - 5*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 24*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 12057] -> -1 + a^(-2) + a^2 - 12*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 12058] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 12059] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12060] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12061] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 11*a^2*z^2 - 
   14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 12062] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 23*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   26*a^2*z^2 - 9*a^4*z^2 - 28*z^4 - z^4/a^4 + (10*z^4)/a^2 + 35*a^2*z^4 - 
   10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12063] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 12064] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12065] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 12066] -> 1 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 12067] -> -2 + 2/a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12068] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^4*z^2 + 
   a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12069] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12070] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 7*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^4*z^4 - 
   a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 12071] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12072] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 12073] -> -1 + a^(-2) + 4*a^2 - 5*a^4 + 
   a^6 + a^8 - 7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 - 7*z^4 + z^4/a^2 + 7*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*z^6 + 
   4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 12074] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 4*z^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   18*a^4*z^4 + 21*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12075] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12076] -> 
  1 + a^(-10) - 5/a^8 + 5/a^6 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12077] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12078] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 12079] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   3*z^2 - z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12080] -> 
  -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + 11*a^2*z^2 - 13*a^4*z^2 + 
   18*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 18*a^4*z^4 + 21*a^6*z^4 - 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12081] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12082] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12083] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 3*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 12084] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (27*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12085] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - a^2*z^2 - 3*a^4*z^2 + 19*a^6*z^2 - 
   8*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 21*a^6*z^4 - 3*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12086] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 8*a^2*z^2 - 14*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 12087] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 
   3*a^4 - 22*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 - 
   28*z^4 - z^4/a^4 + (10*z^4)/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 12088] -> -a^(-4) + 2/a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 18*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 5*a^2*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 12089] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12090] -> 
  -1 + a^(-2) + a^2 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12091] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12092] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   9*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12093] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 22*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 27*a^2*z^2 - 10*a^4*z^2 - 27*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12094] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12095] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12096] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (15*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12097] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 20*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   26*a^2*z^2 - 9*a^4*z^2 - 28*z^4 - z^4/a^4 + (12*z^4)/a^2 + 34*a^2*z^4 - 
   9*a^4*z^4 - 16*z^6 + (3*z^6)/a^2 + 21*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12098] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   10*a^2*z^2 - 4*a^4*z^2 - z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12099] -> 2*a^2 - a^4 - 10*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - (5*z^4)/a^4 + 
   (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12100] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12101] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 12102] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 15*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (28*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (8*z^4)/a^6 - (29*z^4)/a^4 + 
   (33*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12103] -> -1 - 2/a^4 + 4/a^2 + z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12104] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 - z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12105] -> 
  a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 + 
   3*a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 10*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 12106] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 12107] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - 8*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 
   2*a^2*z^2 - 19*z^4 + z^4/a^6 - (8*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 12108] -> 
  a^2 + a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 - 
   3*z^4 + 13*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 12109] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12110] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12111] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 - a^2*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12112] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 12113] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - 
   a^(-4) - a^(-2) + 2*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12114] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 2*z^2 + 12*a^2*z^2 - 22*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 28*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12115] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12116] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12117] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 12118] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12119] -> 
  3 - a^(-2) - a^2 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12120] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12121] -> -1 + a^(-2) + a^2 - 8*z^2 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12122] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 3*z^2 + 
   16*a^2*z^2 - 26*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12123] -> 1 - a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12124] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12125] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 2*z^2 + 
   9*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   23*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12126] -> 2*a^4 - a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12127] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + (2*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 12128] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12129] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 12130] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12131] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 5*z^2 + 10*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 12132] -> 
  a^(-2) + a^2 - 2*a^4 + a^8 - 3*z^2 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 12133] -> 
  a^2 + a^6 - a^8 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12134] -> 
  -1 - 2/a^4 + 4/a^2 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 
   4*a^2*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - 
   17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 12135] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12136] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 12137] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 12138] -> a^(-2) - a^6 + a^8 - 3*z^2 + 
   2*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 12139] -> a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + 
   5*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12140] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 12141] -> 3*a^4 - 2*a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 12142] -> a^2 + a^4 - a^6 + z^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12143] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12144] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 25*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 28*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12145] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12146] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 12147] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   23*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12148] -> -2 + 6*a^2 - 6*a^4 + 6*a^6 - 3*a^8 - 
   5*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 21*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   14*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12149] -> 2 - a^(-2) - a^4 + 3*a^6 - 
   2*a^8 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12150] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - 
   a^(-6) + 2/a^4 - (5*z^2)/a^12 + (11*z^2)/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (8*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12151] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 12152] -> 2 + a^(-10) - 3/a^8 + 2/a^6 + 
   2/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12153] -> 
  -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 3*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12154] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 12155] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 
   2*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 12156] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 12157] -> 
  2 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 - a^2 + a^4 - (2*z^2)/a^6 - z^2/a^4 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12158] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12159] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   26*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12160] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 12*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12161] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12162] -> 3 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 - 
   2*a^2 + a^6 + 6*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (3*z^6)/a^2, Knot[14, Alternating, 12163] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 12164] -> 3 - a^(-2) - 2*a^4 + a^6 + z^2 + 
   4*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12165] -> -1 - a^(-6) + 3/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12166] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + z^2 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12167] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12168] -> 1 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12169] -> -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^8 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12170] -> 1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 
   3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12171] -> 
  a^(-2) - a^2 + a^4 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12172] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - z^4/a^4 + 3*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 12173] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   10*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12174] -> 2*a^2 - 2*a^6 + a^8 + 
   2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12175] -> 2*a^2 - a^4 - 3*z^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 15*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12176] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12177] -> a^(-2) - a^2 + a^4 - 7*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 12178] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 5*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 12179] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 12180] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (6*z^2)/a^8 - (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (10*z^2)/a^2 + (11*z^4)/a^8 - (16*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 + 
   (6*z^6)/a^8 - (17*z^6)/a^6 - (18*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 12181] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 22*z^4 + (11*z^4)/a^4 - (16*z^4)/a^2 + 
   12*a^2*z^4 - 18*z^6 + (6*z^6)/a^4 - (17*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + 
   z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 12182] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (14*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 12183] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (4*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 + (4*z^4)/a^8 - (5*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + z^6/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12184] -> 
  3*a^2 - 3*a^4 + a^6 + 4*z^2 - 11*a^4*z^2 + 7*a^6*z^2 + 10*z^4 - 
   13*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 + 6*z^6 - 16*a^2*z^6 - 17*a^4*z^6 + 
   6*a^6*z^6 + z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 12185] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 + z^2/a^2 - 
   5*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + (3*z^4)/a^2 - 12*a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 - 3*z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12186] -> 
  2 - a^2 - a^4 + a^6 + z^2 + (2*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 + (3*z^4)/a^2 - 11*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   3*z^6 + z^6/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 12187] -> -a^6 + 7*a^8 - 5*a^10 - 
   15*a^6*z^2 + 51*a^8*z^2 - 25*a^10*z^2 - 35*a^6*z^4 + 106*a^8*z^4 - 
   41*a^10*z^4 - 28*a^6*z^6 + 99*a^8*z^6 - 29*a^10*z^6 - 9*a^6*z^8 + 
   47*a^8*z^8 - 9*a^10*z^8 - a^6*z^10 + 11*a^8*z^10 - a^10*z^10 + a^8*z^12, 
 Knot[14, Alternating, 12188] -> 5*a^8 - 4*a^10 - 4*a^4*z^2 + 4*a^6*z^2 + 
   24*a^8*z^2 - 14*a^10*z^2 - 10*a^4*z^4 + 14*a^6*z^4 + 35*a^8*z^4 - 
   16*a^10*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 24*a^8*z^6 - 7*a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 12189] -> a^6 + 3*a^8 - 3*a^10 - 6*a^4*z^2 + 
   12*a^6*z^2 + 13*a^8*z^2 - 10*a^10*z^2 - 11*a^4*z^4 + 22*a^6*z^4 + 
   22*a^8*z^4 - 12*a^10*z^4 - 6*a^4*z^6 + 18*a^6*z^6 + 18*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 12190] -> a^6 + 3*a^8 - 3*a^10 - a^2*z^2 - 
   2*a^4*z^2 + 10*a^6*z^2 + 9*a^8*z^2 - 7*a^10*z^2 - 3*a^2*z^4 + 16*a^6*z^4 + 
   9*a^8*z^4 - 5*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12191] -> 
  2*a^6 + a^8 - 2*a^10 - 6*a^4*z^2 + 13*a^6*z^2 + 10*a^8*z^2 - 9*a^10*z^2 - 
   11*a^4*z^4 + 22*a^6*z^4 + 21*a^8*z^4 - 12*a^10*z^4 - 6*a^4*z^6 + 
   18*a^6*z^6 + 18*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 12192] -> 
  a^4 + 2*a^8 - 2*a^10 - 2*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 
   5*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 14*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12193] -> 
  2*a^6 + a^8 - 2*a^10 - 2*a^2*z^2 + 11*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 15*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 12194] -> 3*a^6 - a^8 - a^10 - 4*a^4*z^2 + 
   11*a^6*z^2 + 7*a^8*z^2 - 7*a^10*z^2 - 10*a^4*z^4 + 19*a^6*z^4 + 
   18*a^8*z^4 - 11*a^10*z^4 - 6*a^4*z^6 + 17*a^6*z^6 + 17*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 12195] -> a^4 + a^6 - a^10 - a^2*z^2 + 
   8*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 13*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12196] -> 
  2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 11*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12197] -> 
  a^(-12) - 6/a^10 + 6/a^8 + (15*z^2)/a^12 - (41*z^2)/a^10 + (35*z^2)/a^8 + 
   (35*z^4)/a^12 - (91*z^4)/a^10 + (56*z^4)/a^8 + (28*z^6)/a^12 - 
   (92*z^6)/a^10 + (36*z^6)/a^8 + (9*z^8)/a^12 - (46*z^8)/a^10 + 
   (10*z^8)/a^8 + z^10/a^12 - (11*z^10)/a^10 + z^10/a^8 - z^12/a^10, 
 Knot[14, Alternating, 12198] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + 
   (10*z^2)/a^12 - (21*z^2)/a^10 + (9*z^2)/a^8 + (10*z^2)/a^6 + 
   (15*z^4)/a^12 - (31*z^4)/a^10 - (4*z^4)/a^8 + (15*z^4)/a^6 + 
   (7*z^6)/a^12 - (23*z^6)/a^10 - (14*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (8*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12199] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (7*z^2)/a^12 - (12*z^2)/a^10 - z^2/a^8 + (13*z^2)/a^6 + (11*z^4)/a^12 - 
   (19*z^4)/a^10 - (13*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^12 - 
   (17*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12200] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (6*z^2)/a^12 - (8*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^4)/a^12 - (8*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12201] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (6*z^2)/a^12 - (10*z^2)/a^10 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 + (11*z^4)/a^12 - (18*z^4)/a^10 - (13*z^4)/a^8 + 
   (16*z^4)/a^6 + (6*z^6)/a^12 - (17*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^12 - (7*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12202] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + (4*z^2)/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12203] -> a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - 
   (5*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12204] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (7*z^2)/a^12 - (11*z^2)/a^10 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 + (11*z^4)/a^12 - (19*z^4)/a^10 - 
   (14*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^12 - (17*z^6)/a^10 - 
   (16*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[14, Alternating, 12205] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + (4*z^2)/a^12 - (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12206] -> a^(-12) - 2/a^10 + 2/a^4 + (3*z^2)/a^12 - 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12207] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 9*z^2 - (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (15*z^2)/a^2 - 12*z^4 - (11*z^4)/a^6 + (16*z^4)/a^4 + (22*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^6 + (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 12208] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 12209] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12210] -> -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 - 
   (7*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 17*z^4 - (11*z^4)/a^2 + 
   23*a^2*z^4 - 12*a^4*z^4 + 17*z^6 - (6*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 + 
   7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 12211] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 8*z^2 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 14*z^4 - (3*z^4)/a^4 + 
   z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 12212] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 11*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 12213] -> a^(-12) - 3/a^10 + 3/a^6 + (3*z^2)/a^12 - 
   z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12214] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (4*z^2)/a^12 - (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (11*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12215] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   (2*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12216] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (3*z^2)/a^10 + (3*z^2)/a^8 - (10*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (2*z^4)/a^8 - (18*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 12217] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   z^4/a^8 - (8*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 12218] -> 
  2 - a^2 - a^4 + a^6 + (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + z^4/a^4 + z^4/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 12219] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 - 3*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 13*a^8*z^2 - 
   7*a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 3*a^6*z^4 + 13*a^8*z^4 - 5*a^10*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12220] -> 
  a^4 + 2*a^8 - 2*a^10 - z^2 + 3*a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - 
   3*a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 12221] -> 2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 
   6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 12222] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-4) + (6*z^2)/a^12 - (11*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + (5*z^4)/a^12 - (12*z^4)/a^10 - z^4/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, Knot[14, Alternating, 12223] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (3*z^2)/a^12 - (3*z^2)/a^10 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12224] -> 
  a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 12225] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + (3*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12226] -> 
  -a^(-4) + 2/a^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 
   (8*z^4)/a^8 - (11*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - 
   (13*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 12227] -> -1 + a^(-2) + a^2 - 7*z^2 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + (9*z^4)/a^4 - (15*z^4)/a^2 + 
   9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 12228] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (9*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 12229] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - z^4/a^8 + (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 12230] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12231] -> 
  a^(-2) - a^4 + a^6 - z^2 + z^2/a^4 - 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   3*z^4 + z^4/a^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 12232] -> 
  2*a^6 + a^8 - 2*a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 + 2*a^8*z^2 - 
   3*a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 12233] -> a^2 + a^8 - a^10 - z^2 + a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 12234] -> a^(-12) - 2/a^10 + a^(-6) + 
   a^(-2) + (2*z^2)/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12235] -> 1 + 2*z^2 + z^2/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 12236] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^6 + 2*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 12237] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 + 
   (4*z^2)/a^6 + z^2/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 12238] -> 3*a^6 - a^8 - a^10 - 8*a^4*z^2 + 
   21*a^6*z^2 - a^8*z^2 - 5*a^10*z^2 - 12*a^4*z^4 + 30*a^6*z^4 + 8*a^8*z^4 - 
   8*a^10*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 12*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 12239] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - 4*a^2*z^2 + 
   9*a^4*z^2 - 3*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 
   a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 12240] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - z^2/a^10 - (13*z^2)/a^8 + (16*z^2)/a^6 + (7*z^4)/a^12 - 
   (6*z^4)/a^10 - (22*z^4)/a^8 + (17*z^4)/a^6 + (5*z^6)/a^12 - 
   (11*z^6)/a^10 - (18*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12241] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (4*z^2)/a^12 - (8*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (9*z^4)/a^10 + z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 12242] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 + (2*z^2)/a^10 - 
   (14*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (22*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12243] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 + 11*a^2*z^2 - 25*z^4 + (12*z^4)/a^4 - (19*z^4)/a^2 + 
   13*a^2*z^4 - 19*z^6 + (6*z^6)/a^4 - (18*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + 
   z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 12244] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 - (9*z^4)/a^6 + 
   (14*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 12245] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 
   2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   3*z^4 + z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 12246] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 - 2*z^2 + 3*a^2*z^2 + a^4*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 12247] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-2) + 
   (3*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12248] -> -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + (8*z^4)/a^8 - (12*z^4)/a^6 - 
   (12*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - (13*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 12249] -> -a^(-4) + 2/a^2 + z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12250] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - z^2/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12251] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - (4*z^2)/a^6 + (3*z^2)/a^4 + (10*z^2)/a^2 - 
   9*z^4 - (8*z^4)/a^6 + (11*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + 
   (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12252] -> 
  a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12253] -> 1 - 4*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 + (8*z^4)/a^4 - (12*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 12254] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 12255] -> 
  -1 - a^(-6) + 3/a^2 - z^2 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12256] -> a^(-12) - 2/a^10 + a^(-6) + a^(-2) + z^2 + 
   z^2/a^12 - z^2/a^10 - z^2/a^8 + z^2/a^6 + z^2/a^2 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 12257] -> 2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12258] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 12259] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 12260] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12261] -> a^(-4) - a^(-2) + a^2 - z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 12262] -> 
  a^(-12) - 2/a^10 + 2/a^4 + z^2 + z^2/a^12 - z^2/a^10 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 12263] -> 
  3 - a^(-6) + a^(-2) - 2*a^2 + 4*z^2 - (4*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 
   5*a^2*z^2 + 5*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - z^6/a^6 + (4*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 12264] -> 
  1 - a^(-6) + 2/a^2 - a^2 - z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 12265] -> 3 - 3*a^2 + a^6 + 2*z^2 + (3*z^2)/a^2 - 
   11*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 3*z^4 + (4*z^4)/a^2 - 16*a^2*z^4 - 
   4*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + z^6/a^2 - 10*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12266] -> 
  1 + a^(-2) - 2*a^2 + a^6 - 3*z^2 + z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^6*z^2 - 6*z^4 + z^4/a^4 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 12267] -> 
  5*a^6 - 5*a^8 + a^10 - 6*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 - 
   11*a^4*z^4 + 27*a^6*z^4 + 4*a^8*z^4 - 7*a^10*z^4 - 6*a^4*z^6 + 
   19*a^6*z^6 + 11*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 12268] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 11*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 12269] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 
   3*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 
   9*a^4*z^4 - a^6*z^4 + 9*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 12270] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - z^2 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 12271] -> a^(-12) - 6/a^8 + 6/a^6 + 
   (3*z^2)/a^12 - (17*z^2)/a^8 + (17*z^2)/a^6 + (7*z^4)/a^12 - (6*z^4)/a^10 - 
   (23*z^4)/a^8 + (17*z^4)/a^6 + (5*z^6)/a^12 - (11*z^6)/a^10 - 
   (18*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[14, Alternating, 12272] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 - z^2/a^10 - 
   (6*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12273] -> a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 3/a^4 + 
   (4*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (9*z^4)/a^10 + z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 12274] -> 
  a^(-12) - 2/a^10 + a^(-8) - a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^12 - 
   (3*z^2)/a^10 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12275] -> 
  a^(-12) - 6/a^8 + 6/a^6 + z^2/a^12 + (4*z^2)/a^10 - (17*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12276] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^6 - z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 12277] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 + z^2/a^2 - 3*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 + (2*z^4)/a^2 - 9*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12278] -> 3*a^6 - a^8 - a^10 - a^2*z^2 - 5*a^4*z^2 + 
   20*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 26*a^6*z^4 - 
   a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12279] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 - 3*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12280] -> 
  a^4 + a^6 - a^10 - a^2*z^2 - 3*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 22*a^6*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 13*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 12281] -> a^(-12) - a^(-10) - 3/a^8 + 
   3/a^6 + a^(-4) + z^2/a^12 + (4*z^2)/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12282] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + (2*z^2)/a^12 + z^2/a^10 - 
   (11*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - 
   (19*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12283] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 + z^2/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 + z^4/a^10 - (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12284] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + z^2/a^10 - 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - 
   (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12285] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 + 
   8*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 12286] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12287] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 12288] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (6*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 + (9*z^4)/a^4 - 
   (15*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 12289] -> 1 + 2/a^4 - 3/a^2 + a^2 + (3*z^2)/a^6 + 
   z^2/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 12290] -> 
  -4 - a^(-6) - 3/a^4 + 9/a^2 - 12*z^2 - (8*z^2)/a^6 + (5*z^2)/a^4 + 
   (21*z^2)/a^2 - 13*z^4 - (12*z^4)/a^6 + (19*z^4)/a^4 + (26*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^6 + (18*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 12291] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (14*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 12292] -> 5*a^2 - 7*a^4 + 3*a^6 + 6*z^2 - a^2*z^2 - 
   17*a^4*z^2 + 10*a^6*z^2 + 11*z^4 - 16*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 + 
   6*z^6 - 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + z^8 - 7*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 12293] -> 
  2 - 3*a^4 + 2*a^6 + 3*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - z^4 + (3*z^4)/a^2 - 14*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 
   3*z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 12294] -> 4 - 5*a^2 + a^4 + a^6 + 
   (4*z^2)/a^2 - 12*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 5*z^4 + (4*z^4)/a^2 - 
   15*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 9*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12295] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - 4*a^2*z^2 + 
   12*a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - 
   3*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 2*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 12296] -> a^(-12) - 2/a^10 + 2/a^8 - 4/a^6 + 4/a^4 + 
   (3*z^2)/a^12 - (7*z^2)/a^10 + (7*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^4)/a^12 - (7*z^4)/a^10 + (3*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 12297] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (2*z^2)/a^12 + (2*z^2)/a^10 - (17*z^2)/a^8 + 
   (15*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - (22*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12298] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^4 + z^4/a^12 + z^4/a^10 - 
   (7*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12299] -> 
  -1 + 2/a^2 - a^2 + a^6 - 4*z^2 + (2*z^2)/a^4 - 4*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 12300] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 2*z^2 + 
   4*a^2*z^2 - a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - z^4 + 3*a^2*z^4 + 
   a^4*z^4 + a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 12301] -> a^(-12) - 2/a^10 + a^(-8) - 
   a^(-4) + 2/a^2 + (2*z^2)/a^12 - (4*z^2)/a^10 + z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12302] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 - (9*z^4)/a^6 + 
   (15*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 12303] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 13*z^4 - (8*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 12304] -> 2*a^2 - a^4 + 4*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 12305] -> 
  2 - a^(-6) + a^(-4) - a^2 + 2*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 12306] -> 
  7*a^6 - 10*a^8 + 5*a^10 - a^12 - 8*a^4*z^2 + 29*a^6*z^2 - 22*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 - 12*a^4*z^4 + 35*a^6*z^4 - 10*a^8*z^4 - 
   2*a^10*z^4 - 6*a^4*z^6 + 21*a^6*z^6 + 5*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 12307] -> 4/a^10 - 11/a^8 + 8/a^6 + z^2/a^14 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (29*z^2)/a^8 + (20*z^2)/a^6 + 
   (2*z^4)/a^12 + (7*z^4)/a^10 - (32*z^4)/a^8 + (18*z^4)/a^6 + (4*z^6)/a^12 - 
   (5*z^6)/a^10 - (20*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12308] -> a^(-4) - a^2 + a^6 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4, Knot[14, Alternating, 12309] -> 
  1 - a^6 + 2*a^8 - a^10 + z^2 - z^2/a^2 + 2*a^8*z^2 - a^10*z^2 + z^4 + 
   a^2*z^4 + a^4*z^4 + a^6*z^4 + a^8*z^4, Knot[14, Alternating, 12310] -> 
  1 + a^(-12) - 2/a^10 + a^(-8) + z^2 + z^2/a^12 - (2*z^2)/a^10 - z^2/a^2 - 
   z^4/a^10 - z^4/a^8 - z^4/a^6 - z^4/a^4 - z^4/a^2, 
 Knot[14, Alternating, 12311] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12312] -> -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12313] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + 
   (7*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 12314] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 
   3/a^2 + 3*z^2 - z^2/a^8 + (13*z^2)/a^6 - (21*z^2)/a^4 + (4*z^2)/a^2 + 
   3*z^4 + z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + z^6 + z^6/a^8 - 
   (13*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12315] -> 2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - 
   (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (9*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12316] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 + (9*z^2)/a^10 - (18*z^2)/a^8 + 
   (6*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (21*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12317] -> -1 + 5*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12318] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   13*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12319] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 
   4*a^2 - 24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12320] -> 
  1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 
   16*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   17*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 12321] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12322] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 12323] -> 
  -a^(-8) + 2/a^4 - (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12324] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 + 
   3*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + z^6/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 12325] -> -2 + 2/a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12326] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 3*z^2 + 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 4*z^4 + z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 12327] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   18*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12328] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12329] -> 
  -2 + 2/a^2 + a^4 - 9*z^2 + (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   15*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 12330] -> -1 + a^(-4) + a^4 - 6*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 12331] -> 3*a^6 - a^8 - a^10 - 3*a^2*z^2 + 2*a^4*z^2 + 
   11*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 4*a^4*z^4 + 16*a^6*z^4 + 
   4*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12332] -> 
  a^4 + a^6 - a^10 - z^2 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 2*a^10*z^2 - 
   z^4 + 6*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 12333] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12334] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12335] -> 
  1 + 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12336] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2 + z^2/a^12 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 12337] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2 + z^2/a^12 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 12338] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   14*a^2*z^2 - 19*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   25*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12339] -> 2 - 2*a^2 + 2*a^6 - a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12340] -> 
  2/a^4 - 2/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   2*a^4*z^2 - 7*z^4 + z^4/a^6 - z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 12341] -> 
  4*a^6 - 3*a^8 - 4*a^2*z^2 + 4*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 
   2*a^10*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12342] -> 
  2*a^4 - a^6 + a^8 - a^10 - 2*z^2 + a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 12343] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 + z^2/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12344] -> 1 + 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12345] -> -4 + 3/a^2 + a^2 + a^4 - 13*z^2 + 
   (4*z^2)/a^4 + z^2/a^2 + 4*a^4*z^2 - 17*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 12346] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + (2*z^4)/a^2 - a^4*z^4 + 2*a^6*z^4 - 
   z^6 - a^2*z^6 - a^4*z^6, Knot[14, Alternating, 12347] -> 
  a^(-6) - a^(-2) + a^4 - 3*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4, Knot[14, Alternating, 12348] -> a^2 + a^8 - a^10 - z^2/a^2 + 
   2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 + a^8*z^4, Knot[14, Alternating, 12349] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12350] -> -1 - a^(-6) + 3/a^2 - z^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12351] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 12352] -> 
  2 - a^(-2) + a^2 - a^4 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12353] -> 
  2*a^2 - a^4 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 12354] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + 
   (8*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 + (4*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 - 
   15*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 12355] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   6*z^4 + z^4/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 12356] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 
   20*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12357] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + 
   (3*z^4)/a^8 - z^4/a^6 - (14*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12358] -> 3*a^6 - a^8 - a^10 - 4*a^2*z^2 + 4*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 15*a^6*z^4 + 
   2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12359] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12360] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 12361] -> a^4 + a^6 - a^10 - 2*z^2 + a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + 
   5*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 12362] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12363] -> -1 + a^(-2) + a^2 - 15*z^2 - z^2/a^4 + 
   (8*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 22*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12364] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + (5*z^4)/a^8 - z^4/a^6 - 
   (24*z^4)/a^4 + (10*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (16*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 12365] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 12366] -> 4*a^6 - 3*a^8 - 3*z^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 14*a^4*z^4 + 
   20*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12367] -> a^4 + 2*a^6 - 2*a^8 - z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 12368] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + (12*z^2)/a^2 + (7*z^4)/a^8 - 
   (2*z^4)/a^6 - (30*z^4)/a^4 + (13*z^4)/a^2 + (5*z^6)/a^8 - (11*z^6)/a^6 - 
   (20*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 12369] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 21*z^2 - z^2/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 
   27*z^4 + (6*z^4)/a^4 + z^4/a^2 + 12*a^2*z^4 - 19*z^6 + (5*z^6)/a^4 - 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 12370] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 8*z^2 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - (10*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 12371] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 - 
   (10*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12372] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 
   4*a^4*z^2 + 2*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 12373] -> 2 - 2*a^2 + a^4 + z^2/a^6 - 
   z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 12374] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 
   10*a^2*z^2 + 11*a^4*z^2 + 21*a^6*z^2 - 14*a^8*z^2 - 15*a^2*z^4 + 
   25*a^4*z^4 + 31*a^6*z^4 - 16*a^8*z^4 - 7*a^2*z^6 + 22*a^4*z^6 + 
   23*a^6*z^6 - 7*a^8*z^6 - a^2*z^8 + 8*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[14, Alternating, 12375] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 3*z^2 - 3*a^2*z^2 + 13*a^4*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 - 4*z^4 + 2*a^2*z^4 + 19*a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 11*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 12376] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 
   4*z^2 + 12*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 
   17*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 10*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 12377] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*z^2 - 
   z^2/a^2 + 3*a^2*z^2 + 9*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - z^4/a^2 + 
   7*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 12378] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 3*z^2 - a^2*z^2 + 12*a^4*z^2 + a^6*z^2 - 
   4*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 16*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 12379] -> 2*a^4 - a^8 - 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 + 6*a^4*z^2 - 2*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 7*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 12380] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (10*z^2)/a^12 - (11*z^2)/a^10 - (15*z^2)/a^8 + (20*z^2)/a^6 + 
   (15*z^4)/a^12 - (25*z^4)/a^10 - (26*z^4)/a^8 + (21*z^4)/a^6 + 
   (7*z^6)/a^12 - (22*z^6)/a^10 - (22*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^12 - 
   (8*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12381] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + 
   (6*z^2)/a^12 - (4*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^4)/a^12 - (7*z^4)/a^10 - (18*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12382] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^12 - z^2/a^10 - 
   (10*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (16*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12383] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^12 - (7*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12384] -> 
  a^(-12) - a^(-10) - a^(-8) - a^(-6) + 3/a^4 + (4*z^2)/a^12 - (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^4 + (4*z^4)/a^12 - (4*z^4)/a^10 - (15*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12385] -> a^(-12) - a^(-10) - a^(-8) + a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12386] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12387] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12388] -> -4 - 5/a^4 + 10/a^2 - 12*z^2 - (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (27*z^2)/a^2 - 13*z^4 - (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (31*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 12389] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 12390] -> 4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 
   10*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - 
   (4*z^4)/a^6 + (9*z^4)/a^4 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 12391] -> 2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 12392] -> 
  3*a^2 - 3*a^4 + a^6 - 8*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 
   4*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12393] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12394] -> a^(-12) - a^(-10) - a^(-8) - a^(-6) + 
   3/a^4 + (2*z^2)/a^12 - (4*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12395] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 4*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   17*a^4*z^4 + 21*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12396] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 3*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - a^2*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12397] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 12398] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 12399] -> 
  4*a^6 - 3*a^8 - 2*a^2*z^2 - 2*a^4*z^2 + 18*a^6*z^2 - 6*a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 24*a^6*z^4 - 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12400] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + z^2/a^10 + (6*z^2)/a^8 - 
   (6*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^10 + z^4/a^8 - 
   (15*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 12401] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 12402] -> 
  a^4 + 2*a^6 - 2*a^8 - (2*z^2)/a^2 + 2*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 
   3*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 12403] -> a^(-12) - a^(-10) - 2/a^8 + 2/a^6 + a^(-2) + 
   (3*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12404] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12405] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12406] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12407] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12408] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12409] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12410] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12411] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 12412] -> a^2 + a^6 - a^8 + 3*z^2 - 
   (2*z^2)/a^2 + 4*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12413] -> 
  1 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12414] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 12415] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12416] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^12 + (2*z^2)/a^10 - 
   (13*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12417] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12418] -> 3*a^2 - 3*a^4 + a^6 - 12*z^2 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12419] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 12420] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12421] -> a^(-2) - a^2 + a^4 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12422] -> 
  a^(-6) - a^(-4) + a^2 - z^2 + (2*z^2)/a^8 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 12423] -> a^(-12) - a^(-10) - a^(-8) + a^(-4) + 
   a^(-2) + z^2 + z^2/a^12 - (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - 
   z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 12424] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 12425] -> -1 + a^(-4) + a^4 - 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 12426] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 12427] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 11*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 12428] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12429] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 - a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 
   a^10*z^2 - z^4 + 5*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 12430] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12431] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 12432] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 12433] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 12434] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 
   3*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 - 4*z^4 + 
   14*a^2*z^4 - 15*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12435] -> 1 - a^2 + 3*a^6 - 2*a^8 - 
   z^2/a^2 + a^2*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12436] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 12437] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 
   6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12438] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - 4*a^4*z^2 + 
   20*a^6*z^2 - 9*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 - 3*a^4*z^4 + 26*a^6*z^4 - 
   4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 12439] -> 
  2*a^4 - a^8 - 3*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 
   z^4 - 2*a^2*z^4 + 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 12440] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 12441] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 12442] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 2*a^2*z^2 + 
   11*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 14*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 12443] -> 
  a^2 + a^6 - a^8 + z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 12444] -> a^(-12) - a^(-10) - 3/a^6 + 4/a^4 + 
   (2*z^2)/a^12 + z^2/a^10 - (7*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12445] -> 
  a^(-12) - a^(-10) - a^(-8) + a^(-6) - a^(-4) + 2/a^2 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12446] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (14*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 12447] -> 1 - 2/a^4 + 3/a^2 - a^2 + 
   3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12448] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (16*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 12449] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12450] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12451] -> 2 - a^2 - a^4 + a^6 + z^2 + z^2/a^2 - 
   2*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12452] -> a^(-2) - a^4 + a^6 - 3*z^2 + (2*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - 4*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12453] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 12454] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12455] -> 2 - a^2 - a^4 + a^6 + z^2 + z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 12456] -> 
  a^(-12) - a^(-10) - 3/a^6 + 4/a^4 + z^2/a^12 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - 
   (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12457] -> 
  2 - a^2 - a^4 + a^6 - z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 12458] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 + 
   z^2/a^6 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12459] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 10*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12460] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 12*a^2*z^2 - 16*a^4*z^2 + 
   15*a^6*z^2 - 5*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 21*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12461] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12462] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 12463] -> 5*a^6 - 5*a^8 + a^10 - 
   2*a^2*z^2 - 2*a^4*z^2 + 20*a^6*z^2 - 11*a^8*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   25*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 12464] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12465] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 12466] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + z^2/a^8 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 12467] -> 2*a^4 - a^8 - z^2 - a^2*z^2 + 5*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 
   a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 12468] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 + 
   z^2/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 + (5*z^4)/a^4 - z^4/a^2 + 
   10*a^2*z^4 - 16*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 12469] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   5*z^2 + z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 12470] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2/a^2 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 12471] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 12472] -> 
  -11 - 4/a^4 + 12/a^2 + 4*a^2 - 28*z^2 + (16*z^2)/a^2 + 12*a^2*z^2 - 
   31*z^4 + (7*z^4)/a^4 - z^4/a^2 + 13*a^2*z^4 - 20*z^6 + (5*z^6)/a^4 - 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 12473] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 - 
   11*a^2*z^2 + 5*a^4*z^2 + z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 12474] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 2*z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + 
   2*a^6*z^2 - a^8*z^2 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, Alternating, 12475] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2 + z^2/a^8 - (3*z^2)/a^4 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 12476] -> 
  -2 - a^(-8) + 2/a^6 + 2*a^2 - 3*z^2 + z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 12477] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 + 
   z^2/a^8 - (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4, Knot[14, Alternating, 12478] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - z^2/a^4 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, Alternating, 12479] -> 1 + a^(-12) - a^(-10) - a^(-8) + a^(-6) + 
   z^2 + z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 - z^2/a^4 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 12480] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12481] -> 
  -3 + 8*a^2 - 4*a^4 - 14*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 22*a^2*z^2 - 
   8*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 
   15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12482] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 12483] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - (3*z^2)/a^6 + 
   (12*z^2)/a^2 - 7*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (11*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12484] -> 
  a^(-12) - 4/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 + (4*z^2)/a^10 - (14*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12485] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12486] -> 
  2 - a^2 - a^4 + a^6 - 3*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12487] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (15*z^2)/a^2 - 9*z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12488] -> 
  2 - a^(-6) + a^(-4) - a^2 + 6*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 12489] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (22*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12490] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12491] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 12492] -> 
  a^(-2) - a^4 + a^6 + z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12493] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12494] -> 2*a^2 - a^4 - 12*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12495] -> 2*a^4 - a^8 + 3*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12496] -> 
  a^2 + a^6 - a^8 - z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 12497] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - (4*z^2)/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 - 9*z^4 - (8*z^4)/a^6 + (11*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 12498] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + (8*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 12499] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 + z^2/a^10 - 
   (10*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - 
   (18*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12500] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   (23*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 12501] -> a^(-12) - a^(-10) - 2/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^12 + z^2/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12502] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 12*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 16*a^4*z^2 + 
   5*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12503] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12504] -> 3*a^4 - 2*a^6 - 2*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 12505] -> 
  a^2 + a^4 - a^6 - 2*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 12506] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 - z^2/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12507] -> 
  a^(-12) - a^(-10) - a^(-8) + a^(-4) + a^(-2) + z^2/a^12 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12508] -> 2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12509] -> 
  2*a^2 - a^4 - z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 3*a^2*z^2 - a^4*z^2 - 
   z^4 + (2*z^4)/a^6 - z^4/a^4 + 2*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 12510] -> a^(-2) - a^4 + a^6 - z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 3*a^4*z^2 + a^6*z^2 - (2*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 12511] -> a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 12512] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^4 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 12513] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12514] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 22*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   31*a^2*z^2 - 11*a^4*z^2 - 27*z^4 - z^4/a^4 + (10*z^4)/a^2 + 37*a^2*z^4 - 
   10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12515] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 + z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12516] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 19*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 12517] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12518] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + z^4/a^8 + 
   (7*z^4)/a^6 - (21*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (12*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12519] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^6 + (5*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 - z^4/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 12520] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12521] -> 
  2 - a^(-4) + a^(-2) - a^2 - 7*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 18*z^4 + z^4/a^6 - (6*z^4)/a^4 + (19*z^4)/a^2 + 6*a^2*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 12522] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^6 - 
   (12*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12523] -> a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12524] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 3*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 12525] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 25*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 30*a^2*z^2 - 10*a^4*z^2 - 29*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 36*a^2*z^4 - 10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 
   22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12526] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12527] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + 2*z^4 + z^4/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12528] -> 
  1 + 2*a^2 - 7*a^4 + 8*a^6 - 3*a^8 + z^2 + 6*a^2*z^2 - 20*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 21*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + 2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 12529] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^4 - (2*z^2)/a^12 + (9*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (19*z^4)/a^8 + (11*z^4)/a^6 - 
   z^4/a^4 + (3*z^6)/a^10 - (13*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, Alternating, 12530] -> 2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^16 - (3*z^2)/a^14 - (12*z^2)/a^12 + (19*z^2)/a^10 + (7*z^2)/a^8 - 
   (4*z^4)/a^14 - z^4/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + 
   (3*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 12531] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 + (6*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12532] -> 
  1 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 12533] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (5*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (16*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 12534] -> 
  a^6 + 2*a^8 - 3*a^12 + a^14 + 3*a^4*z^2 + 6*a^8*z^2 + 5*a^10*z^2 - 
   5*a^12*z^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 7*a^10*z^4 - 
   a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6, Knot[14, Alternating, 12535] -> 
  3/a^6 - 7/a^4 + 5/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (21*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - 
   (27*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - (17*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12536] -> 3 + a^(-6) - 3/a^2 + 4*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (8*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12537] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12538] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12539] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12540] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 5*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12541] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (24*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12542] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - z^2 - 
   (5*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 8*z^4 - (8*z^4)/a^2 + 30*a^2*z^4 - 
   13*a^4*z^4 + 12*z^6 - (5*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 12543] -> -a^(-2) + 5*a^2 - 3*a^4 + 6*z^2 - z^2/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 12*z^4 - (2*z^4)/a^4 - z^4/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - z^6/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 12544] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12545] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12546] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 2*z^2 + (6*z^2)/a^8 - (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 + (2*z^4)/a^8 - (8*z^4)/a^6 - 
   (10*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 12547] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12548] -> 1 + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (20*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12549] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^2 - z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 - z^6 - (3*z^6)/a^6 + z^6/a^4 + (2*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 12550] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 12551] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 12552] -> a^(-8) - a^(-6) + a^2 + z^2/a^10 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, Knot[14, Alternating, 12553] -> 
  2*a^4 - a^6 + a^8 - a^10 - z^2/a^2 + a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 
   a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 + a^8*z^4, 
 Knot[14, Alternating, 12554] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12555] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12556] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12557] -> 
  -1 + 4*a^2 - 2*a^4 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12558] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12559] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 5*z^2 + z^2/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + (3*z^4)/a^8 - (14*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12560] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 12561] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 12562] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 7*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 12563] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 12564] -> -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 12565] -> a^(-12) - a^(-10) - a^(-8) - 
   a^(-6) + 3/a^4 + z^2 + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 12566] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 12567] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 12568] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 12569] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12570] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - z^2/a^4 - 2*a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 12571] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - z^2 + z^2/a^10 + z^2/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 12572] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 12573] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 12574] -> 
  a^(-4) - a^(-2) + a^2 + z^2/a^10 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2, Knot[14, Alternating, 12575] -> 
  2*a^4 - a^8 + z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, Alternating, 12576] -> -1 + a^(-2) + a^2 - 11*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 12577] -> -a^(-4) + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 12578] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 12579] -> 2 - a^2 - a^4 + a^6 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12580] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12581] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12582] -> -3 + 2/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 12583] -> -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12584] -> 
  2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12585] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 12586] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, Alternating, 12587] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2 + z^2/a^8 - z^2/a^6 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 12588] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (21*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 12589] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12590] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 + (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (24*z^4)/a^4 + (10*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 12591] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + z^2/a^8 + z^2/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12592] -> 
  -2 - a^(-2) + 9*a^2 - 5*a^4 - 2*z^2 - (5*z^2)/a^2 + 26*a^2*z^2 - 
   13*a^4*z^2 + 8*z^4 - (8*z^4)/a^2 + 31*a^2*z^4 - 13*a^4*z^4 + 12*z^6 - 
   (5*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 12593] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 9*z^2 - z^2/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + 13*z^4 - (2*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 12594] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   z^4/a^4 - z^4/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 12595] -> 
  -1 + a^(-2) + a^2 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - 
   17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 12596] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 - 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   3*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12597] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12598] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 12599] -> 
  -2 + a^(-4) + 2*a^2 - 15*z^2 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   6*a^2*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 - 
   17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 12600] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (20*z^4)/a^6 - (26*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 12601] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 + (6*z^4)/a^8 + 
   (2*z^4)/a^6 - (27*z^4)/a^4 + (12*z^4)/a^2 + (5*z^6)/a^8 - (10*z^6)/a^6 - 
   (19*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 12602] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12603] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 5*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (12*z^2)/a^4 - (12*z^2)/a^2 + 4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12604] -> 
  -3 - a^(-2) + 11*a^2 - 6*a^4 - 2*z^2 - (7*z^2)/a^2 + 33*a^2*z^2 - 
   17*a^4*z^2 + 12*z^4 - (11*z^4)/a^2 + 40*a^2*z^4 - 17*a^4*z^4 + 16*z^6 - 
   (6*z^6)/a^2 + 25*a^2*z^6 - 7*a^4*z^6 + 7*z^8 - z^8/a^2 + 8*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 12605] -> 
  1 - 2/a^2 + 6*a^2 - 4*a^4 + 10*z^2 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 17*z^4 - (3*z^4)/a^4 + 10*a^2*z^4 - 5*a^4*z^4 + 
   10*z^6 - z^6/a^4 + (3*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 12606] -> 5 - 3/a^2 + a^2 - 2*a^4 + 
   12*z^2 - (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 15*z^4 - 
   (3*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 12607] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 + z^4/a^8 - (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[14, Alternating, 12608] -> 
  1 - a^(-2) + 4*a^4 - 3*a^6 + 7*z^2 - (6*z^2)/a^2 + a^2*z^2 + 11*a^4*z^2 - 
   7*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 + 6*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 + 
   6*z^6 - z^6/a^2 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 12609] -> 1 - a^(-2) + a^2 + 2*a^4 - 
   2*a^6 + 4*z^2 - (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 + 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 12610] -> 1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - 
   (2*z^2)/a^4 + 4*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 12611] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12612] -> 
  3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 12613] -> 3 - a^(-2) - a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12614] -> a^(-12) + 2/a^10 - 10/a^8 + 8/a^6 + 
   (7*z^2)/a^12 - z^2/a^10 - (29*z^2)/a^8 + (24*z^2)/a^6 + (11*z^4)/a^12 - 
   (13*z^4)/a^10 - (36*z^4)/a^8 + (22*z^4)/a^6 + (6*z^6)/a^12 - 
   (16*z^6)/a^10 - (24*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12615] -> a^(-12) + a^(-10) - 6/a^8 + 3/a^6 + 2/a^4 + 
   (4*z^2)/a^12 - (14*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (17*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12616] -> 
  a^(-12) - 2/a^8 - 2/a^6 + 4/a^4 + (3*z^2)/a^12 - (9*z^2)/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (14*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12617] -> a^(-12) - a^(-10) - 3/a^6 + 4/a^4 + 
   (6*z^2)/a^12 - (7*z^2)/a^10 - z^2/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 + 
   (5*z^4)/a^12 - (11*z^4)/a^10 - (6*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 12618] -> 
  a^(-12) - a^(-10) - 2/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^12 - (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12619] -> a^(-12) - a^(-10) - a^(-6) + 2/a^2 + 
   (2*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12620] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^6 - z^2/a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12621] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12622] -> 2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12623] -> 
  a^(-12) + a^(-10) - 7/a^8 + 5/a^6 + a^(-4) + (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (21*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 + (3*z^4)/a^10 - 
   (26*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12624] -> a^(-12) - 3/a^8 + 3/a^4 + z^2/a^12 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12625] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 12626] -> a^2 + a^4 - a^6 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 + a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 12627] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12628] -> 
  a^(-12) - 2/a^8 - 2/a^6 + 4/a^4 + (2*z^2)/a^12 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12629] -> 
  a^(-12) - a^(-10) - a^(-6) + 2/a^2 + z^2 + z^2/a^12 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 12630] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 15*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12631] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12632] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 + z^2/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12633] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + z^4 + z^4/a^10 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 12634] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 8*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 12635] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 12636] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 12637] -> 1 + a^(-4) - 2/a^2 + a^2 + a^4 - 
   a^6 - z^2/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 12638] -> a^2 + a^6 - a^8 - z^2 - z^2/a^2 + 
   4*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12639] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + 
   a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^6 + z^2/a^4 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 12640] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 
   4/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 + 
   (7*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 12641] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 12642] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^6 + (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 12643] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, Alternating, 12644] -> 
  -a^2 + 5*a^4 - 3*a^6 - 3*z^2 - z^2/a^2 + 4*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 12645] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 12646] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 
   2*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 12647] -> 3 - 3*a^2 + a^6 + 2*z^2 + 
   z^2/a^4 - z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12648] -> 
  -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 + (8*z^2)/a^8 - (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 + (3*z^4)/a^10 + (2*z^4)/a^8 - (14*z^4)/a^6 - 
   (8*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 12649] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 + z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 12650] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 + z^2/a^6 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 12651] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 - 
   z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 12652] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2 + z^2/a^10 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, Alternating, 12653] -> 2 - a^(-2) + a^4 - a^6 + 3*z^2 - z^2/a^6 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4, Knot[14, Alternating, 12654] -> 1 + z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 12655] -> a^(-12) - 3/a^8 + 2/a^6 - 
   a^(-4) + 2/a^2 + (2*z^2)/a^12 - z^2/a^10 - (5*z^2)/a^8 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12656] -> 1 + a^(-12) - a^(-10) - a^(-6) + a^(-4) + 
   z^2 + z^2/a^12 - z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 - z^4/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[14, Alternating, 12657] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (19*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 12658] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 12659] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12660] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12661] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12662] -> 
  a^(-12) + a^(-10) - 6/a^8 + 3/a^6 + 2/a^4 + (2*z^2)/a^12 + (4*z^2)/a^10 - 
   (18*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (23*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12663] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12664] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 12665] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 12666] -> 2 - a^(-2) + a^4 - a^6 + 2*z^2 - 
   z^2/a^6 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 12667] -> a^(-12) - 4/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 + 
   (6*z^2)/a^10 - (18*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 - (24*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 12668] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 5*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 12669] -> a^(-12) - 4/a^8 + 3/a^6 + a^(-2) + 
   z^2/a^12 + z^2/a^10 - (6*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12670] -> 
  a^(-12) - a^(-10) - 2/a^6 + 2/a^4 + a^(-2) + z^2/a^12 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + 
   z^4/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12671] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 12672] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 
   (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 12673] -> 
  a^(-12) - 3/a^8 + a^(-6) + a^(-4) + a^(-2) + z^2/a^12 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - 
   (9*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12674] -> 
  2 - 2*a^2 + a^4 + z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 12675] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 12676] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 26*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   26*a^2*z^2 - 9*a^4*z^2 - 29*z^4 - z^4/a^4 + (10*z^4)/a^2 + 35*a^2*z^4 - 
   10*a^4*z^4 - 15*z^6 + (3*z^6)/a^2 + 22*a^2*z^6 - 5*a^4*z^6 - 3*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12677] -> 
  -6 - 5/a^4 + 11/a^2 + a^2 - 17*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (30*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + 
   (33*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12678] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^12 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12679] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12680] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12681] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 12*z^2 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (25*z^2)/a^2 - 13*z^4 - (8*z^4)/a^6 + 
   (7*z^4)/a^4 + (30*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 12682] -> -a^(-6) - a^(-4) + 4/a^2 - a^2 + 
   z^2 - (3*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 12683] -> -5 - a^(-6) - 4/a^4 + 11/a^2 - 14*z^2 - 
   (6*z^2)/a^6 - z^2/a^4 + (28*z^2)/a^2 - 14*z^4 - (9*z^4)/a^6 + 
   (10*z^4)/a^4 + (33*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 12684] -> 2 - a^(-6) - a^(-4) + 3/a^2 - 
   2*a^2 + 4*z^2 - (3*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 12685] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^4 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 12686] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12687] -> -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 12688] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 3*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12689] -> 
  -6 + a^(-6) - 9/a^4 + 15/a^2 - 15*z^2 - z^2/a^6 - (14*z^2)/a^4 + 
   (36*z^2)/a^2 - 14*z^4 - (5*z^4)/a^6 - (3*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (22*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12690] -> 
  6 - a^(-6) + a^(-4) - 2/a^2 - 3*a^2 + 12*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 12691] -> 
  1 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12692] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12693] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 12694] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 
   2*a^2 + 9*z^2 - z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12695] -> 5 - 3/a^2 + a^2 - 2*a^4 + 10*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + a^2*z^2 - 3*a^4*z^2 + 9*z^4 - z^4/a^6 + (6*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 12696] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 - 2*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - z^4 + (2*z^4)/a^6 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, Alternating, 12697] -> 1 - a^(-2) + 2*a^2 - a^6 + 
   3*z^2 - z^2/a^6 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^6*z^2 + 4*z^4 + 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, Alternating, 12698] -> 1 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 12699] -> -6 - a^(-6) - 5/a^4 + 13/a^2 - 
   17*z^2 - (6*z^2)/a^6 - (4*z^2)/a^4 + (35*z^2)/a^2 - 17*z^4 - 
   (11*z^4)/a^6 + (11*z^4)/a^4 + (40*z^4)/a^2 - 7*z^6 - (6*z^6)/a^6 + 
   (16*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (8*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12700] -> 
  -3 - 3/a^6 + 2/a^4 + 5/a^2 - 7*z^2 - z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 - z^4/a^6 + (16*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 12701] -> 
  1 - a^(-6) - 2/a^4 + 5/a^2 - 2*a^2 + 3*z^2 - (4*z^2)/a^6 + (13*z^2)/a^2 - 
   5*a^2*z^2 + 5*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + (17*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - z^6/a^6 + (4*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 12702] -> 
  -2/a^6 + a^(-4) + 3/a^2 - a^2 - z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 12703] -> -8 + 2/a^6 - 13/a^4 + 20/a^2 - 20*z^2 - 
   z^2/a^6 - (20*z^2)/a^4 + (48*z^2)/a^2 - 18*z^4 - (7*z^4)/a^6 - 
   (3*z^4)/a^4 + (49*z^4)/a^2 - 7*z^6 - (5*z^6)/a^6 + (10*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 12704] -> -4 + a^(-8) - 4/a^6 + 8/a^2 - 
   8*z^2 - (8*z^2)/a^6 + (8*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (14*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (9*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 12705] -> 8 - a^(-6) + a^(-4) - 3/a^2 - 4*a^2 + 
   16*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + 14*z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 12706] -> 3 - a^(-6) + a^(-2) - 2*a^2 + 4*z^2 - 
   z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - 
   z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 12707] -> 
  -a^(-6) + a^(-4) + 3*a^2 - 2*a^4 + z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^4 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 12708] -> 1 - a^(-6) + a^(-4) + a^2 - a^4 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4, Knot[14, Alternating, 12709] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   10*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12710] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12711] -> a^(-12) + 3/a^10 - 12/a^8 + 9/a^6 + 
   (6*z^2)/a^12 + z^2/a^10 - (31*z^2)/a^8 + (24*z^2)/a^6 + (11*z^4)/a^12 - 
   (12*z^4)/a^10 - (36*z^4)/a^8 + (22*z^4)/a^6 + (6*z^6)/a^12 - 
   (16*z^6)/a^10 - (24*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12712] -> a^(-12) + a^(-10) - 5/a^8 + a^(-6) + 3/a^4 + 
   (4*z^2)/a^12 - z^2/a^10 - (12*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (16*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12713] -> 
  a^(-12) - 2/a^8 - a^(-6) + 2/a^4 + a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (7*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12714] -> 
  a^(-12) - a^(-10) + 2/a^8 - 7/a^6 + 6/a^4 + (4*z^2)/a^12 - (5*z^2)/a^10 + 
   (2*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^4 + (4*z^4)/a^12 - (8*z^4)/a^10 - 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (4*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12715] -> a^(-12) - a^(-10) + a^(-8) - 3/a^6 + 
   a^(-4) + 2/a^2 + (2*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12716] -> -a^(-12) + 10/a^10 - 20/a^8 + 12/a^6 + 
   (2*z^2)/a^12 + (15*z^2)/a^10 - (46*z^2)/a^8 + (28*z^2)/a^6 + 
   (7*z^4)/a^12 + z^4/a^10 - (46*z^4)/a^8 + (23*z^4)/a^6 + (5*z^6)/a^12 - 
   (10*z^6)/a^10 - (26*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12717] -> 4/a^10 - 7/a^8 + 4/a^4 + (2*z^2)/a^12 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^12 - 
   z^4/a^10 - (15*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12718] -> 
  a^(-12) - a^(-10) - 2/a^4 + 3/a^2 + (3*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[14, Alternating, 12719] -> 
  1 + a^(-12) - a^(-10) - a^(-4) + a^(-2) + z^2 + z^2/a^12 - z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - z^4/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[14, Alternating, 12720] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12721] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12722] -> 
  1 + 2*z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12723] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12724] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 9*z^2 - 
   z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12725] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 + z^2/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12726] -> 5/a^10 - 11/a^8 + 5/a^6 + 2/a^4 + z^2/a^12 + 
   (9*z^2)/a^10 - (25*z^2)/a^8 + (9*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 - (26*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 12727] -> a^(-12) - a^(-10) + a^(-8) - 
   4/a^6 + 3/a^4 + a^(-2) + z^2/a^12 + z^2/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12728] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12729] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   z^4/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 12730] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12731] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12732] -> -4 - 5/a^4 + 10/a^2 - 11*z^2 - z^2/a^6 - 
   (9*z^2)/a^4 + (26*z^2)/a^2 - 11*z^4 - (5*z^4)/a^6 + (28*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (17*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12733] -> 
  -6 + a^(-6) - 9/a^4 + 15/a^2 - 15*z^2 - z^2/a^6 - (14*z^2)/a^4 + 
   (36*z^2)/a^2 - 14*z^4 - (5*z^4)/a^6 - (3*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (22*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12734] -> 
  -8 + 2/a^6 - 13/a^4 + 20/a^2 - 20*z^2 - z^2/a^6 - (20*z^2)/a^4 + 
   (48*z^2)/a^2 - 18*z^4 - (7*z^4)/a^6 - (3*z^4)/a^4 + (49*z^4)/a^2 - 7*z^6 - 
   (5*z^6)/a^6 + (10*z^6)/a^4 + (27*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (8*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12735] -> 
  -4 + a^(-8) - 4/a^6 + 8/a^2 - 8*z^2 - (8*z^2)/a^6 + (8*z^2)/a^4 + 
   (14*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 - (3*z^4)/a^6 + (14*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 12736] -> 
  -a^(-12) + 10/a^10 - 20/a^8 + 12/a^6 + (2*z^2)/a^12 + (15*z^2)/a^10 - 
   (46*z^2)/a^8 + (28*z^2)/a^6 + (7*z^4)/a^12 + z^4/a^10 - (46*z^4)/a^8 + 
   (23*z^4)/a^6 + (5*z^6)/a^12 - (10*z^6)/a^10 - (26*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12737] -> 4/a^10 - 7/a^8 + 4/a^4 + (2*z^2)/a^12 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^12 - 
   z^4/a^10 - (15*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12738] -> 
  a^(-12) - 2/a^10 + 6/a^8 - 12/a^6 + 8/a^4 + (3*z^2)/a^12 - (5*z^2)/a^10 + 
   (7*z^2)/a^8 - (20*z^2)/a^6 + (12*z^2)/a^4 + (3*z^4)/a^12 - (6*z^4)/a^10 - 
   (15*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12739] -> a^(-12) - a^(-10) + a^(-6) - 4/a^4 + 4/a^2 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12740] -> 2 + a^(-12) - a^(-10) - a^(-2) + z^2 + 
   z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 - z^4/a^8 - z^4/a^6 - z^4/a^4 - z^4/a^2, 
 Knot[14, Alternating, 12741] -> a^(-12) - a^(-10) + a^2 - z^2 - z^2/a^10 - 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2, Knot[14, Alternating, 12742] -> 
  -2*a^2 + 7*a^4 - 4*a^6 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + 3*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 12743] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 3*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 
   9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 12744] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 
   7*a^2*z^2 - 19*a^4*z^2 + 23*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 
   7*a^2*z^4 - 26*a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   17*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12745] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 
   7*a^2*z^2 - 18*a^4*z^2 + 22*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 
   24*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12746] -> 1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12747] -> 
  -2/a^12 + 7/a^10 - 11/a^8 + 7/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (27*z^2)/a^8 + (24*z^2)/a^6 - (3*z^2)/a^4 + (3*z^4)/a^10 - (20*z^4)/a^8 + 
   (25*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^10 - z^6/a^8 + (15*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 12748] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 - z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12749] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 7*a^2*z^2 - 19*a^4*z^2 + 23*a^6*z^2 - 
   10*a^8*z^2 + 2*a^10*z^2 + 7*a^2*z^4 - 26*a^4*z^4 + 26*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 12750] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*a^2*z^2 + 
   8*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + 
   4*a^8*z^4 + 4*a^2*z^6 - 7*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 12751] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 3*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + z^4 + 3*a^2*z^4 - 5*a^4*z^4 + 2*a^8*z^4 + z^6 - 
   a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 12752] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12753] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + 
   z^2/a^4 + a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 12754] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12755] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2/a^4 - 
   a^4*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 12756] -> 
  3 + 2/a^4 - 4/a^2 + z^2 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 12757] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 - z^2/a^12 + (9*z^2)/a^10 - (21*z^2)/a^8 + (20*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^4)/a^10 - (16*z^4)/a^8 + (23*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^6)/a^10 + (15*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 12758] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12759] -> -a^(-8) + 2/a^4 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12760] -> -2/a^6 + 3/a^4 + z^2/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^10 + z^4/a^4 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 12761] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - 13*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + z^6 - 
   a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 12762] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (2*z^4)/a^2 + 
   24*a^2*z^4 - 14*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12763] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 - (10*z^4)/a^8 + (15*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12764] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (14*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12765] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 - (10*z^4)/a^8 + (15*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12766] -> 
  4 + a^(-4) - 3/a^2 - a^2 - z^2/a^4 + z^2/a^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12767] -> 3 + 2/a^4 - 4/a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 6*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12768] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 12*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 14*a^4*z^4 + 
   2*a^6*z^4 - 8*z^6 + z^6/a^2 + 18*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12769] -> 
  4 + a^(-4) - 3/a^2 - a^2 - z^2/a^4 + z^2/a^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12770] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^4*z^2 + 
   15*a^6*z^2 - 6*a^8*z^2 + 9*a^4*z^4 - 10*a^6*z^4 + 8*a^8*z^4 + 15*a^4*z^6 - 
   38*a^6*z^6 + 15*a^8*z^6 + 7*a^4*z^8 - 29*a^6*z^8 + 7*a^8*z^8 + a^4*z^10 - 
   9*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[14, Alternating, 12771] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 8*a^6*z^4 + 6*a^8*z^4 + 4*a^2*z^6 - 6*a^4*z^6 - 12*a^6*z^6 + 
   5*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 12772] -> a^4 + 2*a^6 - 2*a^8 + 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + 
   4*a^8*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 12773] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 3*a^2*z^2 + 
   2*a^4*z^2 + a^8*z^2 + z^4 + 3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 
   3*a^8*z^4 + z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 12774] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 + 2*a^4*z^2 + a^8*z^2 + 2*z^4 - 
   2*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 12775] -> 2*a^4 - a^8 + 3*a^2*z^2 - 4*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 7*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 3*a^8*z^4 + 
   5*a^2*z^6 - 13*a^4*z^6 - 6*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 12776] -> 
  a^2 + a^6 - a^8 + z^2 + 2*a^6*z^2 + 2*z^4 - a^2*z^4 - 5*a^4*z^4 + 
   2*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 12777] -> 
  3*a^4 - 2*a^6 + 4*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 8*a^2*z^4 - 
   18*a^4*z^4 + 8*a^6*z^4 + a^8*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 2*a^6*z^6 + 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 12778] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   2*z^2 - 2*a^2*z^2 + 2*a^6*z^2 + 3*z^4 - 6*a^2*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[14, Alternating, 12779] -> 
  1 - a^4 + 2*a^6 - a^8 - z^2 + z^2/a^2 + a^8*z^2 - 2*z^4 + z^4/a^2 - 
   a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - 
   a^6*z^6, Knot[14, Alternating, 12780] -> 2 + a^(-6) - a^(-4) - a^(-2) - 
   4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 11*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12781] -> a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 - (2*z^4)/a^10 - (6*z^4)/a^8 + 
   (17*z^4)/a^6 - (6*z^4)/a^4 - (4*z^6)/a^10 + (5*z^6)/a^8 + (13*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 12782] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12783] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12784] -> 
  a^(-6) - a^(-4) + a^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12785] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^2 - z^4 - z^4/a^10 + (2*z^4)/a^6 + 
   z^4/a^4 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 12786] -> 1 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 12787] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 - (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4 - 
   z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 12788] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (15*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12789] -> -a^(-4) + 2/a^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12790] -> 1 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 12791] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 12792] -> -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 
   24*z^2 + (7*z^2)/a^6 - (28*z^2)/a^4 + (40*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (9*z^4)/a^6 - (34*z^4)/a^4 + (40*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 12793] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 12794] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (6*z^4)/a^4 + (23*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12795] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 12796] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (6*z^4)/a^4 + (23*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12797] -> 
  -7 + 2/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 26*z^2 + (7*z^2)/a^2 + 34*a^2*z^2 - 
   18*a^4*z^2 + 3*a^6*z^2 - 33*z^4 + (9*z^4)/a^2 + 36*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 17*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 12798] -> 
  a^(-4) - 2/a^2 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12799] -> 
  2/a^10 - 7/a^8 + 10/a^6 - 8/a^4 + 4/a^2 + (5*z^2)/a^10 - (20*z^2)/a^8 + 
   (31*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (35*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 12800] -> 
  2 + 2/a^10 - 6/a^8 + 6/a^6 - a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12801] -> a^(-14) - 5/a^12 + 11/a^10 - 14/a^8 + 
   8/a^6 + z^2/a^14 - (6*z^2)/a^12 + (20*z^2)/a^10 - (31*z^2)/a^8 + 
   (20*z^2)/a^6 + (2*z^4)/a^12 + (9*z^4)/a^10 - (32*z^4)/a^8 + (18*z^4)/a^6 + 
   (4*z^6)/a^12 - (5*z^6)/a^10 - (20*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (5*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12802] -> -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 
   24*z^2 + (7*z^2)/a^6 - (28*z^2)/a^4 + (40*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (9*z^4)/a^6 - (34*z^4)/a^4 + (40*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (18*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 12803] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 12804] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (6*z^4)/a^4 + (23*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12805] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (6*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 12806] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (6*z^4)/a^4 + (23*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12807] -> 
  -9 - 4/a^4 + 9/a^2 + 9*a^2 - 4*a^4 - 21*z^2 - (8*z^2)/a^4 + (22*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 - 22*z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12808] -> -6 + 13*a^2 - 5*a^4 - a^6 - 10*z^2 - 
   (2*z^2)/a^2 + 30*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 
   30*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 15*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 12809] -> -1 - 2/a^4 + 2/a^2 + 6*a^2 - 4*a^4 - 7*z^2 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 - 13*z^4 - 
   (5*z^4)/a^4 + (20*z^4)/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12810] -> -3/a^4 + 4/a^2 + 2*a^2 - 2*a^4 - 
   (2*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12811] -> 
  4/a^16 - 8/a^14 - a^(-12) + 6/a^10 + (10*z^2)/a^16 - (36*z^2)/a^14 + 
   (14*z^2)/a^12 + (23*z^2)/a^10 + (6*z^4)/a^16 - (44*z^4)/a^14 + 
   (41*z^4)/a^12 + (34*z^4)/a^10 + z^6/a^16 - (20*z^6)/a^14 + (39*z^6)/a^12 + 
   (24*z^6)/a^10 - (3*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 12812] -> 
  3/a^16 - 6/a^14 + 2/a^10 + 2/a^8 + (4*z^2)/a^16 - (16*z^2)/a^14 + 
   z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (8*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 12813] -> -9 - 4/a^4 + 9/a^2 + 9*a^2 - 4*a^4 - 
   21*z^2 - (8*z^2)/a^4 + (22*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 22*z^4 - 
   (5*z^4)/a^4 + (23*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12814] -> -4 - 2/a^8 + 8/a^6 - 15/a^4 + 
   14/a^2 - 11*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (36*z^2)/a^4 + 
   (36*z^2)/a^2 - 11*z^4 - z^4/a^8 + (12*z^4)/a^6 - (35*z^4)/a^4 + 
   (40*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12815] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 31*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12816] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (10*z^2)/a^10 - (20*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + 
   (6*z^4)/a^10 - (24*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 12817] -> -a^(-8) + 2/a^4 + z^2/a^12 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12818] -> 
  -3 + 2*a^2 + 8*a^4 - 6*a^6 - 12*z^2 + 13*a^2*z^2 + 24*a^4*z^2 - 
   15*a^6*z^2 - 13*z^4 + 24*a^2*z^4 + 30*a^4*z^4 - 14*a^6*z^4 - 6*z^6 + 
   19*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 12819] -> 
  -5 + 9*a^2 - 3*a^6 - 6*z^2 - (3*z^2)/a^2 + 21*a^2*z^2 + 3*a^4*z^2 - 
   6*a^6*z^2 + z^4 - (3*z^4)/a^2 + 21*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 10*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 12820] -> 5/a^16 - 12/a^14 + 4/a^12 + 
   4/a^10 + (10*z^2)/a^16 - (40*z^2)/a^14 + (22*z^2)/a^12 + (20*z^2)/a^10 + 
   (6*z^4)/a^16 - (45*z^4)/a^14 + (46*z^4)/a^12 + (33*z^4)/a^10 + z^6/a^16 - 
   (20*z^6)/a^14 + (40*z^6)/a^12 + (24*z^6)/a^10 - (3*z^8)/a^14 + 
   (15*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 12821] -> 3/a^16 - 5/a^14 - 4/a^12 + 7/a^10 + 
   (4*z^2)/a^16 - (16*z^2)/a^14 - (3*z^2)/a^12 + (22*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + (7*z^4)/a^12 + (29*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12822] -> 
  4/a^16 - 10/a^14 + 5/a^12 + 2/a^8 + (4*z^2)/a^16 - (21*z^2)/a^14 + 
   (13*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + 
   (17*z^4)/a^12 + (15*z^4)/a^10 + (12*z^4)/a^8 - (3*z^6)/a^14 + 
   (10*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12823] -> 
  2/a^16 - 3/a^14 - 3/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (3*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + 
   (3*z^4)/a^12 + (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 12824] -> 
  -5 - 4/a^4 + 8/a^2 + 4*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (16*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 12825] -> 
  -5 - 2/a^8 + 7/a^6 - 14/a^4 + 15/a^2 - 12*z^2 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (34*z^2)/a^4 + (38*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (34*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12826] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (3*z^2)/a^16 - (6*z^2)/a^14 - (21*z^2)/a^12 + (32*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 - (6*z^4)/a^12 + (39*z^4)/a^10 + 
   (5*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12827] -> 
  a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + (3*z^2)/a^16 - (6*z^2)/a^14 - 
   (21*z^2)/a^12 + (32*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 - 
   (6*z^4)/a^12 + (39*z^4)/a^10 + (5*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 12828] -> -5 - 2/a^8 + 7/a^6 - 14/a^4 + 15/a^2 - 
   12*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (34*z^2)/a^4 + (38*z^2)/a^2 - 
   11*z^4 - z^4/a^8 + (12*z^4)/a^6 - (34*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12829] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 32*z^2 - (4*z^2)/a^4 + 
   (19*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 33*z^4 - (6*z^4)/a^4 + 
   (24*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 16*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12830] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   31*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12831] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   4*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 12832] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 12833] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + (10*z^2)/a^10 - (20*z^2)/a^8 + 
   (11*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - (24*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (14*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12834] -> -a^(-8) + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12835] -> 
  6/a^16 - 16/a^14 + 9/a^12 + 2/a^10 + (11*z^2)/a^16 - (48*z^2)/a^14 + 
   (35*z^2)/a^12 + (15*z^2)/a^10 + (6*z^4)/a^16 - (50*z^4)/a^14 + 
   (59*z^4)/a^12 + (29*z^4)/a^10 + z^6/a^16 - (21*z^6)/a^14 + (46*z^6)/a^12 + 
   (23*z^6)/a^10 - (3*z^8)/a^14 + (16*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 12836] -> 
  4/a^16 - 9/a^14 + a^(-12) + 5/a^10 + (4*z^2)/a^16 - (20*z^2)/a^14 + 
   (5*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + 
   (12*z^4)/a^12 + (28*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + 
   (9*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 12837] -> 2/a^16 - 2/a^14 - 7/a^12 + 
   8/a^10 + (3*z^2)/a^16 - (11*z^2)/a^14 - (9*z^2)/a^12 + (24*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (11*z^4)/a^14 + (3*z^4)/a^12 + (30*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^6)/a^14 + (7*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12838] -> 
  -9*a^2 + 21*a^4 - 11*a^6 - 38*a^2*z^2 + 89*a^4*z^2 - 39*a^6*z^2 - 
   51*a^2*z^4 + 141*a^4*z^4 - 51*a^6*z^4 - 31*a^2*z^6 + 113*a^4*z^6 - 
   31*a^6*z^6 - 9*a^2*z^8 + 49*a^4*z^8 - 9*a^6*z^8 - a^2*z^10 + 11*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 12839] -> 
  -2 - 2*a^2 + 13*a^4 - 8*a^6 - 11*z^2 + 5*a^2*z^2 + 37*a^4*z^2 - 
   20*a^6*z^2 - 13*z^4 + 19*a^2*z^4 + 43*a^4*z^4 - 18*a^6*z^4 - 6*z^6 + 
   18*a^2*z^6 + 26*a^4*z^6 - 7*a^6*z^6 - z^8 + 7*a^2*z^8 + 8*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 12840] -> 
  -4 + 5*a^2 + 5*a^4 - 5*a^6 - 14*z^2 + 19*a^2*z^2 + 19*a^4*z^2 - 
   14*a^6*z^2 - 14*z^4 + 28*a^2*z^4 + 28*a^4*z^4 - 14*a^6*z^4 - 6*z^6 + 
   20*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 12841] -> 
  -4 + 5*a^2 + 5*a^4 - 5*a^6 - 6*z^2 - (3*z^2)/a^2 + 17*a^2*z^2 + 
   11*a^4*z^2 - 9*a^6*z^2 + z^4 - (3*z^4)/a^2 + 20*a^2*z^4 + 11*a^4*z^4 - 
   5*a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 12842] -> 
  2/a^16 - 4/a^14 + 3/a^8 + z^2/a^16 - (8*z^2)/a^14 + (2*z^2)/a^12 + 
   (4*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (3*z^4)/a^14 + (5*z^4)/a^12 + 
   (8*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 12843] -> 
  3 - 2/a^2 - 3*a^2 + 8*a^4 - 5*a^6 + 8*z^2 - (6*z^2)/a^2 - a^2*z^2 + 
   17*a^4*z^2 - 9*a^6*z^2 + 10*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 + 15*a^4*z^4 - 
   5*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 12844] -> 
  2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 5/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (24*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (22*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12845] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   z^2/a^16 - (7*z^2)/a^14 - (7*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^4)/a^14 + (2*z^4)/a^12 + (17*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 12846] -> 2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 5/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (24*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (22*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12847] -> 
  -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (29*z^2)/a^8 + (24*z^2)/a^6 - (2*z^2)/a^2 + (4*z^4)/a^10 - (23*z^4)/a^8 + 
   (26*z^4)/a^6 - (3*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12848] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 32*z^2 - (4*z^2)/a^4 + 
   (19*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 33*z^4 - (6*z^4)/a^4 + 
   (24*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 16*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12849] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 
   27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12850] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12851] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12852] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12853] -> 2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 5/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (24*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (22*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12854] -> 
  2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 5/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (24*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (22*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12855] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   z^2/a^12 + (12*z^2)/a^10 - (29*z^2)/a^8 + (24*z^2)/a^6 - (2*z^2)/a^2 + 
   (4*z^4)/a^10 - (23*z^4)/a^8 + (26*z^4)/a^6 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (14*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12856] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 
   27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12857] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 12858] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 31*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12859] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (3*z^2)/a^16 - (6*z^2)/a^14 - (21*z^2)/a^12 + (32*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 - (6*z^4)/a^12 + (39*z^4)/a^10 + 
   (5*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12860] -> 
  -5 - 4/a^4 + 8/a^2 + 4*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (16*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 12861] -> 
  -5 - 2/a^8 + 7/a^6 - 14/a^4 + 15/a^2 - 12*z^2 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (34*z^2)/a^4 + (38*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (34*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12862] -> -5 - 2/a^8 + 7/a^6 - 14/a^4 + 15/a^2 - 
   12*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (34*z^2)/a^4 + (38*z^2)/a^2 - 
   11*z^4 - z^4/a^8 + (12*z^4)/a^6 - (34*z^4)/a^4 + (41*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12863] -> 
  5/a^16 - 12/a^14 + 4/a^12 + 4/a^10 + (10*z^2)/a^16 - (40*z^2)/a^14 + 
   (22*z^2)/a^12 + (20*z^2)/a^10 + (6*z^4)/a^16 - (45*z^4)/a^14 + 
   (46*z^4)/a^12 + (33*z^4)/a^10 + z^6/a^16 - (20*z^6)/a^14 + (40*z^6)/a^12 + 
   (24*z^6)/a^10 - (3*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 12864] -> 
  3/a^16 - 5/a^14 - 4/a^12 + 7/a^10 + (4*z^2)/a^16 - (16*z^2)/a^14 - 
   (3*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (7*z^4)/a^12 + (29*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 12865] -> -6 + 13*a^2 - 5*a^4 - a^6 - 10*z^2 - 
   (2*z^2)/a^2 + 30*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 
   30*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 15*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 12866] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (3*z^2)/a^16 - (6*z^2)/a^14 - (21*z^2)/a^12 + (32*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (10*z^4)/a^14 - (6*z^4)/a^12 + (39*z^4)/a^10 + 
   (5*z^4)/a^8 - (3*z^6)/a^14 + (5*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12867] -> 
  -4 - 2/a^8 + 8/a^6 - 15/a^4 + 14/a^2 - 11*z^2 - (3*z^2)/a^8 + 
   (17*z^2)/a^6 - (36*z^2)/a^4 + (36*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (35*z^4)/a^4 + (40*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12868] -> -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 
   29*z^2 + (9*z^2)/a^2 + 31*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 36*z^4 + 
   (10*z^4)/a^2 + 33*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 
   16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12869] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 12870] -> -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 
   32*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 33*z^4 - 
   (6*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 16*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12871] -> -1 - 2/a^4 + 2/a^2 + 6*a^2 - 4*a^4 - 7*z^2 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 - 13*z^4 - 
   (5*z^4)/a^4 + (20*z^4)/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12872] -> -3/a^4 + 4/a^2 + 2*a^2 - 2*a^4 - 
   (2*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 12873] -> 
  4/a^16 - 8/a^14 - a^(-12) + 6/a^10 + (10*z^2)/a^16 - (36*z^2)/a^14 + 
   (14*z^2)/a^12 + (23*z^2)/a^10 + (6*z^4)/a^16 - (44*z^4)/a^14 + 
   (41*z^4)/a^12 + (34*z^4)/a^10 + z^6/a^16 - (20*z^6)/a^14 + (39*z^6)/a^12 + 
   (24*z^6)/a^10 - (3*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 12874] -> 
  3/a^16 - 6/a^14 + 2/a^10 + 2/a^8 + (4*z^2)/a^16 - (16*z^2)/a^14 + 
   z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (8*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 12875] -> -9 - 4/a^4 + 9/a^2 + 9*a^2 - 4*a^4 - 
   21*z^2 - (8*z^2)/a^4 + (22*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 22*z^4 - 
   (5*z^4)/a^4 + (23*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12876] -> -8 + 3/a^2 + 11*a^2 - 7*a^4 + 
   2*a^6 - 29*z^2 + (9*z^2)/a^2 + 31*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   36*z^4 + (10*z^4)/a^2 + 33*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 22*z^6 + 
   (5*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12877] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 12878] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 19*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   4*a^2*z^4 - 19*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12879] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - 
   a^8 - 4*z^2 + 18*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12880] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 19*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   4*a^2*z^4 - 19*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12881] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - 
   a^8 - 4*z^2 + 18*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12882] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 18*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   6*a^2*z^4 - 23*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12883] -> 2 - 2*a^2 + 3*a^6 - 3*a^8 + 
   a^10 + 2*z^2 - 5*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   2*z^4 - 5*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 12884] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 17*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (21*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12885] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 12886] -> 2/a^10 - 11/a^8 + 18/a^6 - 12/a^4 + 4/a^2 + 
   z^2/a^10 - (14*z^2)/a^8 + (39*z^2)/a^6 - (34*z^2)/a^4 + (12*z^2)/a^2 - 
   (2*z^4)/a^8 + (25*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^8 + 
   z^6/a^6 - (22*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 12887] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 19*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   4*a^2*z^4 - 19*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12888] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - 
   a^8 - 4*z^2 + 18*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12889] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 19*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   4*a^2*z^4 - 19*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 12890] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - 
   a^8 - 4*z^2 + 18*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12891] -> -2 + 6*a^2 - 3*a^4 - z^2 + 5*a^2*z^2 - 
   a^4*z^2 + 12*z^4 - 23*a^2*z^4 + 12*a^4*z^4 + 16*z^6 - 44*a^2*z^6 + 
   16*a^4*z^6 + 7*z^8 - 30*a^2*z^8 + 7*a^4*z^8 + z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[14, Alternating, 12892] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 + a^4*z^2 - z^4 + (4*z^4)/a^2 - 11*a^2*z^4 + 
   7*a^4*z^4 - 7*z^6 + (4*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 12893] -> 2*a^2 - a^4 - 8*z^2 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 + (8*z^4)/a^2 + 4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   7*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 12894] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 12895] -> -1 + 4*a^2 - 2*a^4 + 5*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 6*z^4 - 5*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 + 5*z^6 - 
   11*a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 12896] -> 
  2*a^2 - a^4 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 
   7*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12897] -> 1 - z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 2*a^6*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 12898] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   a^2*z^2 + a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 12899] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   7*z^2 - z^2/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^6 - (19*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + 
   (16*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 12900] -> -a^(-10) + 3/a^8 - 2/a^6 - 
   2/a^4 + 3/a^2 - 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 - z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6 - z^6/a^8 + z^6/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 12901] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - 8*z^4 - (3*z^4)/a^6 - (5*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (6*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 12902] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 - (2*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 12903] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 12904] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - z^2 - (2*z^2)/a^6 + z^2/a^2 - z^4 - 
   z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 12905] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 12906] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12907] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 12908] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 12909] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12910] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12911] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   7*z^2 - z^2/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^6 - (19*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + 
   (16*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 12912] -> -a^(-10) + 3/a^8 - 2/a^6 - 
   2/a^4 + 3/a^2 - 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 - z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6 - z^6/a^8 + z^6/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 12913] -> 
  -3 + 2/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12914] -> 
  -15 - 2/a^4 + 10/a^2 + 10*a^2 - 2*a^4 - 38*z^2 - (5*z^2)/a^4 + 
   (23*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 39*z^4 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 22*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12915] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 12916] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - 
   z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 12917] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12918] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 12919] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12920] -> -5 + a^(-2) + 11*a^2 - 8*a^4 + 2*a^6 - 
   15*z^2 + (2*z^2)/a^4 + 25*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 12921] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + (11*z^2)/a^10 - (26*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - (26*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (14*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12922] -> -14 - a^(-4) + 7/a^2 + 13*a^2 - 4*a^4 - 
   38*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 28*a^2*z^2 - 6*a^4*z^2 - 41*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12923] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   2*z^2 - z^2/a^2 + 17*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   (2*z^4)/a^2 + 15*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 12924] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + z^2/a^12 + (10*z^2)/a^10 - 
   (27*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + (4*z^4)/a^10 - 
   (28*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (15*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12925] -> -6 + 14*a^2 - 7*a^4 - 12*z^2 - z^2/a^2 + 
   32*a^2*z^2 - 10*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - (2*z^4)/a^2 + 31*a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 - z^6/a^2 + 15*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 12926] -> 
  -4 - a^(-8) + 6/a^6 - 14/a^4 + 14/a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (34*z^2)/a^4 + (34*z^2)/a^2 - 10*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (34*z^4)/a^4 + (37*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12927] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + 
   (5*z^2)/a^10 - (21*z^2)/a^8 + (35*z^2)/a^6 - (25*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (22*z^4)/a^8 + (36*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (21*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 12928] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12929] -> a^(-6) - 3/a^4 + 3/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 12930] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + (5*z^2)/a^12 - (5*z^2)/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 + 
   (8*z^4)/a^12 - (10*z^4)/a^10 - (21*z^4)/a^8 + (17*z^4)/a^6 + 
   (5*z^6)/a^12 - (12*z^6)/a^10 - (18*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (6*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 12931] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - 
   z^4/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12932] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + (5*z^2)/a^12 - (11*z^2)/a^10 + 
   (8*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^12 - (10*z^4)/a^10 + 
   z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12933] -> a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12934] -> 
  2/a^10 - 6/a^8 + 8/a^6 - 7/a^4 + 4/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (20*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (18*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12935] -> -7 + 4/a^6 - 12/a^4 + 14/a^2 + 2*a^2 - 
   17*z^2 + (9*z^2)/a^6 - (31*z^2)/a^4 + (34*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (9*z^4)/a^6 - (35*z^4)/a^4 + (35*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 12936] -> 
  2/a^10 - 6/a^8 + 8/a^6 - 7/a^4 + 4/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (20*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (18*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12937] -> -8 + 3/a^6 - 11/a^4 + 15/a^2 + 2*a^2 - 
   18*z^2 + (8*z^2)/a^6 - (29*z^2)/a^4 + (36*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (9*z^4)/a^6 - (34*z^4)/a^4 + (36*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 12938] -> 
  -8 + 3/a^6 - 11/a^4 + 15/a^2 + 2*a^2 - 18*z^2 + (8*z^2)/a^6 - 
   (29*z^2)/a^4 + (36*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (9*z^4)/a^6 - 
   (34*z^4)/a^4 + (36*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - 
   (21*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 12939] -> -14 - a^(-4) + 7/a^2 + 13*a^2 - 
   4*a^4 - 38*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 28*a^2*z^2 - 6*a^4*z^2 - 
   41*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 23*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 12940] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + (11*z^2)/a^10 - (26*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (6*z^4)/a^10 - (26*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (14*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12941] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 12942] -> -a^(-12) + 6/a^10 - 12/a^8 + 
   8/a^6 - z^2/a^12 + (10*z^2)/a^10 - (27*z^2)/a^8 + (25*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^4)/a^10 - (18*z^4)/a^8 + (27*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^6)/a^10 + (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 12943] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12944] -> 
  2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + (7*z^2)/a^16 - (23*z^2)/a^14 - 
   z^2/a^12 + (28*z^2)/a^10 + (5*z^4)/a^16 - (35*z^4)/a^14 + (27*z^4)/a^12 + 
   (38*z^4)/a^10 + z^6/a^16 - (18*z^6)/a^14 + (33*z^6)/a^12 + (25*z^6)/a^10 - 
   (3*z^8)/a^14 + (14*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 12945] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 12946] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (18*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 + 
   (2*z^4)/a^10 - (23*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12947] -> 
  -3 + 3*a^2 + 6*a^4 - 5*a^6 - 11*z^2 + 12*a^2*z^2 + 22*a^4*z^2 - 
   14*a^6*z^2 - 11*z^4 + 19*a^2*z^4 + 31*a^4*z^4 - 14*a^6*z^4 - 5*z^6 + 
   15*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 12948] -> 
  -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (16*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 12949] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (16*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 12950] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 + z^2/a^10 - (13*z^2)/a^8 + 
   (10*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - (22*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12951] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12952] -> 
  -5 + 11*a^2 - 4*a^4 - a^6 - 10*z^2 - z^2/a^2 + 26*a^2*z^2 - 5*a^4*z^2 - 
   3*a^6*z^2 - 5*z^4 - (2*z^4)/a^2 + 27*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + z^6 - 
   z^6/a^2 + 14*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 12953] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (4*z^2)/a^16 - (20*z^2)/a^14 + (6*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + (19*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12954] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + z^2/a^16 - (9*z^2)/a^14 + 
   z^2/a^12 + (10*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (14*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 12955] -> 
  a^(-14) - 2/a^12 + a^(-10) - 3/a^8 + 4/a^6 + z^2/a^14 - (4*z^2)/a^12 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^12 + (2*z^4)/a^10 - 
   (14*z^4)/a^8 + (13*z^4)/a^6 + (4*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 12956] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12957] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   20*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 12958] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   (2*z^2)/a^12 + (5*z^2)/a^10 - (18*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (23*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12959] -> 
  -2 - a^(-8) + 4/a^2 - 5*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 12960] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12961] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 + z^4/a^10 - (10*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 12962] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12963] -> 2 + 2/a^10 - 6/a^8 + 7/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - 
   (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (14*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12964] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + (2*z^4)/a^6 - (17*z^4)/a^4 + 
   (21*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + (15*z^6)/a^2 - z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 12965] -> -a^(-10) + a^(-8) + 4/a^6 - 8/a^4 + 5/a^2 - 
   2*z^2 + (3*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + 
   z^6/a^6 + (5*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 12966] -> -5 + a^(-2) + 11*a^2 - 8*a^4 + 2*a^6 - 
   20*z^2 + (5*z^2)/a^2 + 30*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 26*z^4 + 
   (7*z^4)/a^2 + 31*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12967] -> 2 + 2/a^10 - 6/a^8 + 7/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - 
   (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (14*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 12968] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (10*z^2)/a^10 - 
   (27*z^2)/a^8 + (25*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (27*z^4)/a^6 - (8*z^4)/a^4 - (3*z^6)/a^10 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 12969] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + 
   (7*z^2)/a^10 - (24*z^2)/a^8 + (22*z^2)/a^6 - (2*z^2)/a^2 - (15*z^4)/a^8 + 
   (23*z^4)/a^6 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12970] -> 3/a^16 - 8/a^14 + 6/a^12 - 4/a^10 + 4/a^8 + 
   (4*z^2)/a^16 - (19*z^2)/a^14 + (14*z^2)/a^12 - z^2/a^10 + (12*z^2)/a^8 + 
   z^4/a^16 - (14*z^4)/a^14 + (17*z^4)/a^12 + (10*z^4)/a^10 + (13*z^4)/a^8 - 
   (3*z^6)/a^14 + (10*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12971] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (4*z^2)/a^10 - (9*z^2)/a^8 + 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12972] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 - 3*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12973] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12974] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   13*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 12975] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 12976] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 + z^4/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 12977] -> 
  4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + (8*z^2)/a^16 - (35*z^2)/a^14 + 
   (20*z^2)/a^12 + (20*z^2)/a^10 + (5*z^4)/a^16 - (41*z^4)/a^14 + 
   (45*z^4)/a^12 + (33*z^4)/a^10 + z^6/a^16 - (19*z^6)/a^14 + (40*z^6)/a^12 + 
   (24*z^6)/a^10 - (3*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 12978] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + (3*z^2)/a^16 - (13*z^2)/a^14 - 
   (4*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + 
   (7*z^4)/a^12 + (29*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 12979] -> -8*a^2 + 19*a^4 - 10*a^6 - 36*a^2*z^2 + 
   84*a^4*z^2 - 37*a^6*z^2 - 50*a^2*z^4 + 137*a^4*z^4 - 50*a^6*z^4 - 
   31*a^2*z^6 + 112*a^4*z^6 - 31*a^6*z^6 - 9*a^2*z^8 + 49*a^4*z^8 - 
   9*a^6*z^8 - a^2*z^10 + 11*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 12980] -> -2 - a^2 + 11*a^4 - 7*a^6 - 11*z^2 + 
   6*a^2*z^2 + 34*a^4*z^2 - 19*a^6*z^2 - 13*z^4 + 19*a^2*z^4 + 42*a^4*z^4 - 
   18*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 26*a^4*z^6 - 7*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 12981] -> -1 - 4*a^2 + 14*a^4 - 8*a^6 - 9*z^2 + 
   39*a^4*z^2 - 20*a^6*z^2 - 12*z^4 + 15*a^2*z^4 + 44*a^4*z^4 - 18*a^6*z^4 - 
   6*z^6 + 17*a^2*z^6 + 26*a^4*z^6 - 7*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 12982] -> 
  -3 + 3*a^2 + 6*a^4 - 5*a^6 - 5*z^2 - (3*z^2)/a^2 + 14*a^2*z^2 + 
   12*a^4*z^2 - 9*a^6*z^2 + z^4 - (3*z^4)/a^2 + 19*a^2*z^4 + 11*a^4*z^4 - 
   5*a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 12983] -> 
  -4 + 6*a^2 + 3*a^4 - 4*a^6 - 16*z^2 + 25*a^2*z^2 + 12*a^4*z^2 - 
   12*a^6*z^2 - 17*z^4 + 37*a^2*z^4 + 21*a^4*z^4 - 13*a^6*z^4 - 7*z^6 + 
   25*a^2*z^6 + 18*a^4*z^6 - 6*a^6*z^6 - z^8 + 8*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 12984] -> 
  -5 + 10*a^2 - 2*a^4 - 2*a^6 - 5*z^2 - (4*z^2)/a^2 + 23*a^2*z^2 - a^4*z^2 - 
   5*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 23*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 + 
   4*z^6 - z^6/a^2 + 11*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 12985] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 
   2*a^2 - 15*z^2 + z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 12986] -> 
  3 - 2/a^2 - 2*a^2 + 6*a^4 - 4*a^6 + 9*z^2 - (7*z^2)/a^2 + a^2*z^2 + 
   13*a^4*z^2 - 8*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 + 7*a^2*z^4 + 13*a^4*z^4 - 
   5*a^6*z^4 + 6*z^6 - z^6/a^2 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 12987] -> 
  2 - 2/a^2 + 2*a^2 + a^4 - 2*a^6 + 6*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 12988] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 12989] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 12990] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4/a^8 + (14*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^8 - 
   z^6/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 12991] -> 4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (23*z^2)/a^14 + (12*z^2)/a^12 + (16*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + (21*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 12992] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + z^2/a^16 - (9*z^2)/a^14 - 
   (2*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (16*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 12993] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (4*z^2)/a^12 + (11*z^2)/a^10 - 
   (14*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (9*z^4)/a^10 - 
   (17*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 12994] -> -2 + 9*a^4 - 6*a^6 - 9*z^2 + 6*a^2*z^2 + 
   27*a^4*z^2 - 15*a^6*z^2 - 10*z^4 + 15*a^2*z^4 + 33*a^4*z^4 - 14*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 12995] -> 
  -4 + 7*a^2 + a^4 - 3*a^6 - 4*z^2 - (3*z^2)/a^2 + 16*a^2*z^2 + 5*a^4*z^2 - 
   6*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 17*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 12996] -> -3 + 3*a^2 + 6*a^4 - 5*a^6 - 
   11*z^2 + 12*a^2*z^2 + 22*a^4*z^2 - 14*a^6*z^2 - 11*z^4 + 19*a^2*z^4 + 
   31*a^4*z^4 - 14*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 12997] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (21*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (12*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 12998] -> 
  3/a^10 - 12/a^8 + 15/a^6 - 7/a^4 + 2/a^2 + (5*z^2)/a^10 - (25*z^2)/a^8 + 
   (39*z^2)/a^6 - (20*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (23*z^4)/a^8 + 
   (40*z^4)/a^6 - (22*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (22*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 12999] -> 
  -6 + 14*a^2 - 7*a^4 - 11*z^2 - (2*z^2)/a^2 + 33*a^2*z^2 - 11*a^4*z^2 - 
   2*a^6*z^2 - 4*z^4 - (3*z^4)/a^2 + 33*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 16*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13000] -> -2/a^12 + 7/a^10 - 11/a^8 + 
   7/a^6 - z^2/a^12 + (11*z^2)/a^10 - (24*z^2)/a^8 + (19*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - (19*z^4)/a^8 + (18*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13001] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 11*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 13002] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13003] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   (6*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (12*z^4)/a^10 - (14*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 + 
   z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 13004] -> 3/a^16 - 6/a^14 - 2/a^12 + 
   6/a^10 + (4*z^2)/a^16 - (20*z^2)/a^14 + (6*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + (19*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13005] -> 
  2/a^14 - 5/a^12 + 2/a^10 + 2/a^6 + z^2/a^14 - (8*z^2)/a^12 + (9*z^2)/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 + z^4/a^12 + (6*z^4)/a^10 - (10*z^4)/a^8 + 
   (12*z^4)/a^6 + (4*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13006] -> a^(-14) - 2/a^12 - a^(-8) + 3/a^6 - 
   (2*z^2)/a^12 + z^2/a^10 + (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + 
   z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13007] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 8*z^2 + 8*a^2*z^2 + 20*a^4*z^2 - 12*a^6*z^2 - 
   9*z^4 + 13*a^2*z^4 + 29*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 
   20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 13008] -> 
  -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 - 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 - (2*z^4)/a^2 + 13*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13009] -> 2/a^16 - 4/a^14 - a^(-12) + 
   2/a^10 + 2/a^8 + z^2/a^16 - (9*z^2)/a^14 + z^2/a^12 + (10*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + (6*z^4)/a^12 + (14*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 13010] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 
   2*z^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (26*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13011] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 22*z^2 + (6*z^2)/a^2 + 28*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 27*z^4 + (7*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13012] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 26*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13013] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13014] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13015] -> 
  -5 + a^(-2) + 11*a^2 - 8*a^4 + 2*a^6 - 20*z^2 + (5*z^2)/a^2 + 30*a^2*z^2 - 
   17*a^4*z^2 + 3*a^6*z^2 - 26*z^4 + (7*z^4)/a^2 + 31*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13016] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 8*z^2 + 8*a^2*z^2 + 20*a^4*z^2 - 12*a^6*z^2 - 
   9*z^4 + 13*a^2*z^4 + 29*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 
   20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 13017] -> 
  -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 - 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 - (2*z^4)/a^2 + 13*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13018] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 
   2*a^4 - 20*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 
   26*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 13019] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + (3*z^2)/a^16 - (9*z^2)/a^14 - 
   (14*z^2)/a^12 + (29*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (3*z^4)/a^12 + (36*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + 
   (10*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13020] -> 
  3/a^16 - 7/a^14 + 2/a^12 + a^(-10) + 2/a^8 + (4*z^2)/a^16 - (19*z^2)/a^14 + 
   (8*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + 
   (17*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13021] -> 
  -2 + 9*a^4 - 6*a^6 - 9*z^2 + 6*a^2*z^2 + 27*a^4*z^2 - 15*a^6*z^2 - 10*z^4 + 
   15*a^2*z^4 + 33*a^4*z^4 - 14*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 21*a^4*z^6 - 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13022] -> -3 - 2/a^4 + 3/a^2 + 7*a^2 - 4*a^4 - 
   13*z^2 - (6*z^2)/a^4 + (14*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 19*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13023] -> -4 + 7*a^2 + a^4 - 3*a^6 - 4*z^2 - 
   (3*z^2)/a^2 + 16*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   17*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13024] -> -11 - 4/a^4 + 10/a^2 + 10*a^2 - 4*a^4 - 
   28*z^2 - (8*z^2)/a^4 + (25*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 31*z^4 - 
   (5*z^4)/a^4 + (26*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13025] -> -6 + 14*a^2 - 7*a^4 - 11*z^2 - 
   (2*z^2)/a^2 + 33*a^2*z^2 - 11*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^2 + 
   33*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 16*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13026] -> a^(-6) - 3/a^4 + 3/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13027] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 
   4*a^4 - 26*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 
   28*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 13028] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (15*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13029] -> 4/a^16 - 11/a^14 + 7/a^12 - a^(-10) + 
   2/a^8 + (4*z^2)/a^16 - (23*z^2)/a^14 + (18*z^2)/a^12 + (4*z^2)/a^10 + 
   (9*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (21*z^4)/a^12 + (14*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^6)/a^14 + (11*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 13030] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (8*z^2)/a^14 + (9*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - 
   (3*z^4)/a^14 + (4*z^4)/a^12 + (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13031] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13032] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 11*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 13033] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 21*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (31*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13034] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 
   2*a^2 - 15*z^2 + z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13035] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 27*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13036] -> a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + 
   (3*z^2)/a^16 - (9*z^2)/a^14 - (14*z^2)/a^12 + (29*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + (3*z^4)/a^12 + (36*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (10*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13037] -> 
  -11 + 4/a^2 + 12*a^2 - 4*a^4 - 29*z^2 - z^2/a^4 + (11*z^2)/a^2 + 
   25*a^2*z^2 - 6*a^4*z^2 - 31*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13038] -> 2 - a^(-2) + 4*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 13039] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13040] -> 2/a^14 - 5/a^12 + 2/a^10 + 2/a^6 + 
   z^2/a^14 - (8*z^2)/a^12 + (9*z^2)/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 + 
   z^4/a^12 + (6*z^4)/a^10 - (10*z^4)/a^8 + (12*z^4)/a^6 + (4*z^6)/a^12 - 
   (5*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13041] -> a^(-14) - 2/a^12 - a^(-8) + 3/a^6 - 
   (2*z^2)/a^12 + z^2/a^10 + (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + 
   z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13042] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13043] -> 
  -8 - 3/a^4 + 7/a^2 + 9*a^2 - 4*a^4 - 19*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13044] -> -5 + 11*a^2 - 4*a^4 - a^6 - 10*z^2 - 
   z^2/a^2 + 26*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 - 5*z^4 - (2*z^4)/a^2 + 
   27*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + z^6 - z^6/a^2 + 14*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13045] -> a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - 
   (4*z^2)/a^12 + (11*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 + (9*z^4)/a^10 - (17*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 13046] -> 3/a^10 - 12/a^8 + 15/a^6 - 
   7/a^4 + 2/a^2 + (5*z^2)/a^10 - (25*z^2)/a^8 + (39*z^2)/a^6 - 
   (20*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (23*z^4)/a^8 + (40*z^4)/a^6 - 
   (22*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + (22*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[14, Alternating, 13047] -> -4 - 2/a^8 + 7/a^6 - 13/a^4 + 
   13/a^2 - 10*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (32*z^2)/a^4 + 
   (33*z^2)/a^2 - 10*z^4 - z^4/a^8 + (12*z^4)/a^6 - (33*z^4)/a^4 + 
   (37*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13048] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 2*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (20*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13049] -> -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (6*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13050] -> 2 - a^(-2) + 4*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 13051] -> -11 + 4/a^2 + 12*a^2 - 4*a^4 - 29*z^2 - 
   z^2/a^4 + (11*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 31*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13052] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13053] -> 
  -2 - 3/a^8 + 10/a^6 - 14/a^4 + 10/a^2 - 5*z^2 - (4*z^2)/a^8 + 
   (21*z^2)/a^6 - (33*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (18*z^4)/a^6 - (33*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 13054] -> -4 - 2/a^8 + 7/a^6 - 13/a^4 + 
   13/a^2 - 10*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (32*z^2)/a^4 + 
   (33*z^2)/a^2 - 10*z^4 - z^4/a^8 + (12*z^4)/a^6 - (33*z^4)/a^4 + 
   (37*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13055] -> 
  -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (16*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 13056] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13057] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 27*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13058] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 13059] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (19*z^4)/a^4 + (18*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13060] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 6*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13061] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13062] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   (7*z^2)/a^16 - (23*z^2)/a^14 - z^2/a^12 + (28*z^2)/a^10 + (5*z^4)/a^16 - 
   (35*z^4)/a^14 + (27*z^4)/a^12 + (38*z^4)/a^10 + z^6/a^16 - (18*z^6)/a^14 + 
   (33*z^6)/a^12 + (25*z^6)/a^10 - (3*z^8)/a^14 + (14*z^8)/a^12 + 
   (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 13063] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 14*z^2 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   16*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13064] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (20*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 13065] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 14*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   22*z^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 16*z^6 + 
   (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13066] -> -10 + 3/a^6 - 9/a^4 + 13/a^2 + 4*a^2 - 
   21*z^2 + (8*z^2)/a^6 - (28*z^2)/a^4 + (33*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (9*z^4)/a^6 - (34*z^4)/a^4 + (35*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13067] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (6*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13068] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13069] -> 2 + 2/a^10 - 7/a^8 + 11/a^6 - 8/a^4 + 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (19*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13070] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13071] -> 
  -2 - 3/a^8 + 10/a^6 - 14/a^4 + 10/a^2 - 5*z^2 - (4*z^2)/a^8 + 
   (21*z^2)/a^6 - (33*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (18*z^4)/a^6 - (33*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 13072] -> a^(-10) - 5/a^8 + 7/a^6 - 
   4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4/a^8 + (14*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + 
   (3*z^6)/a^8 - z^6/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13073] -> 2 + 2/a^10 - 7/a^8 + 11/a^6 - 8/a^4 + 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (19*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13074] -> 
  -2 - a^(-8) + 4/a^2 - 5*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13075] -> -8 - 3/a^4 + 7/a^2 + 9*a^2 - 4*a^4 - 
   19*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 21*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13076] -> 2/a^16 - 3/a^14 - 3/a^12 + 3/a^10 + 
   2/a^8 + (4*z^2)/a^16 - (16*z^2)/a^14 + (2*z^2)/a^12 + (13*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (15*z^4)/a^12 + (21*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13077] -> 
  a^(-14) - 2/a^12 + a^(-10) - 3/a^8 + 4/a^6 + z^2/a^14 - (4*z^2)/a^12 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^12 + (2*z^4)/a^10 - 
   (14*z^4)/a^8 + (13*z^4)/a^6 + (4*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 13078] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13079] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + 
   (6*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13080] -> -10 + 3/a^6 - 9/a^4 + 13/a^2 + 4*a^2 - 
   21*z^2 + (8*z^2)/a^6 - (28*z^2)/a^4 + (33*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (9*z^4)/a^6 - (34*z^4)/a^4 + (35*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13081] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 22*z^2 + (6*z^2)/a^2 + 28*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 27*z^4 + (7*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13082] -> 
  -3 - 2/a^4 + 3/a^2 + 7*a^2 - 4*a^4 - 13*z^2 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   20*a^2*z^2 - 8*a^4*z^2 - 19*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13083] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 2*a^4 + 
   4*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13084] -> 3/a^16 - 7/a^14 + 2/a^12 + a^(-10) + 2/a^8 + 
   (4*z^2)/a^16 - (19*z^2)/a^14 + (8*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (17*z^4)/a^12 + (21*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13085] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 20*z^2 + (7*z^2)/a^6 - (24*z^2)/a^4 + 
   (28*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (9*z^4)/a^6 - (33*z^4)/a^4 + 
   (34*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (21*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13086] -> -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 2*a^4 - 
   z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13087] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13088] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   14*z^2 + (11*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13089] -> 3/a^16 - 8/a^14 + 6/a^12 - 4/a^10 + 4/a^8 + 
   (4*z^2)/a^16 - (19*z^2)/a^14 + (14*z^2)/a^12 - z^2/a^10 + (12*z^2)/a^8 + 
   z^4/a^16 - (14*z^4)/a^14 + (17*z^4)/a^12 + (10*z^4)/a^10 + (13*z^4)/a^8 - 
   (3*z^6)/a^14 + (10*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13090] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (23*z^2)/a^8 + 
   (30*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + (31*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^6)/a^10 + z^6/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 13091] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 21*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (31*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13092] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 
   3*a^2 + 2*a^4 + 4*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13093] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - 
   (5*z^4)/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13094] -> -6 + a^(-6) - 7/a^4 + 12/a^2 + a^2 - 
   15*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13095] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13096] -> 
  -6 + a^(-6) - 7/a^4 + 12/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13097] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13098] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 13099] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 24*a^4*z^4 + 15*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13100] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13101] -> 
  -4*a^4 + 17*a^6 - 18*a^8 + 7*a^10 - a^12 - 12*a^4*z^2 + 44*a^6*z^2 - 
   34*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 13*a^4*z^4 + 44*a^6*z^4 - 
   20*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 3*a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 + 4*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 13102] -> -6 + a^(-6) - 7/a^4 + 12/a^2 + a^2 - 
   15*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13103] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13104] -> 
  -6 + a^(-6) - 7/a^4 + 12/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13105] -> 3 - 4*a^2 + 2*a^4 + z^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13106] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13107] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13108] -> 4 - a^(-2) - 3*a^2 + a^4 + z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13109] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13110] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13111] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 12*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 13112] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + 
   z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13113] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 
   16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 25*a^4*z^4 + 
   16*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13114] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 13115] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + z^4 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13116] -> 3 - 4*a^2 + 2*a^4 + z^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13117] -> 
  4 - a^(-2) - 3*a^2 + a^4 + z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13118] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 + (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (29*z^4)/a^4 + (12*z^4)/a^2 + (4*z^6)/a^8 - (5*z^6)/a^6 - 
   (20*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 13119] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13120] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 4*z^2 + 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 13121] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 + z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 13122] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13123] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13124] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 13125] -> 
  3*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 13126] -> 
  3*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 13127] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 25*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 13128] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + z^4/a^8 + (8*z^4)/a^6 - 
   (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - (12*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13129] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 13130] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13131] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 13132] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13133] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13134] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (31*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (19*z^4)/a^6 - (37*z^4)/a^4 + (22*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (22*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13135] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 13136] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + (9*z^2)/a^12 - (14*z^2)/a^10 - 
   (7*z^2)/a^8 + (16*z^2)/a^6 + (12*z^4)/a^12 - (22*z^4)/a^10 - 
   (17*z^4)/a^8 + (17*z^4)/a^6 + (6*z^6)/a^12 - (18*z^6)/a^10 - 
   (17*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[14, Alternating, 13137] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (4*z^2)/a^12 - z^2/a^10 - (14*z^2)/a^8 + 
   (10*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13138] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13139] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 12*z^2 + 
   16*a^2*z^2 + 16*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + 25*a^2*z^4 + 25*a^4*z^4 - 
   13*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13140] -> -4 + 8*a^2 - a^4 - 2*a^6 - 5*z^2 - 
   (3*z^2)/a^2 + 19*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + z^4 - (3*z^4)/a^2 + 
   20*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13141] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   26*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 33*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13142] -> 2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 
   2/a^2 + (5*z^2)/a^10 - (18*z^2)/a^8 + (26*z^2)/a^6 - (18*z^2)/a^4 + 
   (7*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + (31*z^4)/a^6 - (24*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - (12*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 13143] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13144] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (10*z^2)/a^12 - (20*z^2)/a^10 + (2*z^2)/a^8 + (13*z^2)/a^6 + 
   (12*z^4)/a^12 - (24*z^4)/a^10 - (12*z^4)/a^8 + (16*z^4)/a^6 + 
   (6*z^6)/a^12 - (18*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (7*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13145] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (5*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13146] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (3*z^2)/a^12 - (13*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13147] -> 2/a^10 - 5/a^8 + 6/a^6 - 6/a^4 + 4/a^2 + 
   (5*z^2)/a^10 - (17*z^2)/a^8 + (23*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (30*z^4)/a^6 - (25*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (20*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 13148] -> a^(-12) - 6/a^8 + 6/a^6 + (2*z^2)/a^12 + 
   z^2/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 13149] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 13150] -> 2/a^10 - 5/a^8 + 6/a^6 - 6/a^4 + 
   4/a^2 + 2*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (14*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13151] -> 
  4/a^10 - 11/a^8 + 8/a^6 + (2*z^2)/a^12 + (6*z^2)/a^10 - (24*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - (25*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13152] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 - z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13153] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 13154] -> 2 + 2/a^10 - 5/a^8 + 5/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 13155] -> 
  4/a^10 - 11/a^8 + 8/a^6 + (2*z^2)/a^12 + (6*z^2)/a^10 - (24*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - (25*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13156] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 13157] -> -a^(-12) + 5/a^10 - 10/a^8 + 
   7/a^6 - z^2/a^12 + (8*z^2)/a^10 - (22*z^2)/a^8 + (23*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^6)/a^10 + z^6/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 13158] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13159] -> 
  2/a^12 - 5/a^10 + 3/a^8 - a^(-6) + 2/a^4 + (5*z^2)/a^12 - (7*z^2)/a^10 - 
   z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 + (4*z^4)/a^12 - (6*z^4)/a^10 - 
   (11*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13160] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (5*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - z^4/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 13161] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (22*z^2)/a^8 + (23*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^10 - (14*z^4)/a^8 + 
   (26*z^4)/a^6 - (8*z^4)/a^4 - (3*z^6)/a^10 + z^6/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 13162] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   4*z^2 - z^2/a^8 + (14*z^2)/a^6 - (28*z^2)/a^4 + (19*z^2)/a^2 - 8*z^4 + 
   (5*z^4)/a^6 - (26*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (3*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 13163] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (11*z^2)/a^8 + 
   (27*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (27*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^8 + (4*z^6)/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 13164] -> -7*a^2 + 17*a^4 - 9*a^6 - 
   35*a^2*z^2 + 81*a^4*z^2 - 36*a^6*z^2 - 50*a^2*z^4 + 136*a^4*z^4 - 
   50*a^6*z^4 - 31*a^2*z^6 + 112*a^4*z^6 - 31*a^6*z^6 - 9*a^2*z^8 + 
   49*a^4*z^8 - 9*a^6*z^8 - a^2*z^10 + 11*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 13165] -> -1 - 3*a^2 + 12*a^4 - 7*a^6 - 10*z^2 + 
   3*a^2*z^2 + 35*a^4*z^2 - 19*a^6*z^2 - 13*z^4 + 18*a^2*z^4 + 42*a^4*z^4 - 
   18*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 26*a^4*z^6 - 7*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13166] -> -2 + a^2 + 7*a^4 - 5*a^6 - 11*z^2 + 
   11*a^2*z^2 + 22*a^4*z^2 - 14*a^6*z^2 - 13*z^4 + 23*a^2*z^4 + 29*a^4*z^4 - 
   14*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13167] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 20*z^2 + 
   (4*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (34*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13168] -> 
  -2 + 9*a^4 - 6*a^6 - 13*z^2 + 12*a^2*z^2 + 27*a^4*z^2 - 17*a^6*z^2 - 
   16*z^4 + 28*a^2*z^4 + 35*a^4*z^4 - 17*a^6*z^4 - 7*z^6 + 23*a^2*z^6 + 
   24*a^4*z^6 - 7*a^6*z^6 - z^8 + 8*a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 13169] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 4*z^2 - (4*z^2)/a^2 + 16*a^2*z^2 + 8*a^4*z^2 - 
   8*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 21*a^2*z^4 + 9*a^4*z^4 - 5*a^6*z^4 + 
   4*z^6 - z^6/a^2 + 11*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13170] -> -4 + 8*a^2 - a^4 - 2*a^6 - 
   4*z^2 - (4*z^2)/a^2 + 20*a^2*z^2 - 5*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 
   22*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 11*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13171] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (16*z^2)/a^14 + (3*z^2)/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (16*z^4)/a^12 + (26*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13172] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 + z^2/a^14 - (5*z^2)/a^12 + 
   (8*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^12 + (3*z^4)/a^10 - 
   (14*z^4)/a^8 + (13*z^4)/a^6 + (4*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 13173] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (9*z^4)/a^2 + (3*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13174] -> -2 + a^2 + 7*a^4 - 5*a^6 - 9*z^2 + 
   7*a^2*z^2 + 24*a^4*z^2 - 14*a^6*z^2 - 10*z^4 + 15*a^2*z^4 + 32*a^4*z^4 - 
   14*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13175] -> a^(-14) - 5/a^12 + 11/a^10 - 14/a^8 + 
   8/a^6 + z^2/a^14 - (6*z^2)/a^12 + (20*z^2)/a^10 - (31*z^2)/a^8 + 
   (20*z^2)/a^6 + (2*z^4)/a^12 + (9*z^4)/a^10 - (32*z^4)/a^8 + (18*z^4)/a^6 + 
   (4*z^6)/a^12 - (5*z^6)/a^10 - (20*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (5*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13176] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^12 - (11*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13177] -> 2 - a^(-2) - 4*a^2 + 9*a^4 - 5*a^6 + 6*z^2 - 
   (5*z^2)/a^2 - 3*a^2*z^2 + 18*a^4*z^2 - 9*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 + 15*a^4*z^4 - 5*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13178] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 13179] -> -a^(-2) + 3*a^2 + a^4 - 2*a^6 + 3*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 13180] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (3*z^2)/a^16 - (16*z^2)/a^14 + 
   (3*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (16*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13181] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (6*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 13182] -> -4 + 9*a^2 - 3*a^4 - a^6 - 
   10*z^2 + 19*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + 21*a^2*z^4 + 
   14*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13183] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 9*z^2 + 
   11*a^2*z^2 + 16*a^4*z^2 - 11*a^6*z^2 - 10*z^4 + 16*a^2*z^4 + 27*a^4*z^4 - 
   13*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13184] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13185] -> -5 + 12*a^2 - 6*a^4 - 9*z^2 - (2*z^2)/a^2 + 
   28*a^2*z^2 - 9*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 29*a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 15*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13186] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + z^2/a^16 - (10*z^2)/a^14 + 
   (5*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (8*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13187] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 - (3*z^2)/a^12 + z^2/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13188] -> a^(-12) - 4/a^10 + 5/a^8 - 2/a^6 - a^(-4) + 
   2/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + (2*z^4)/a^10 + (5*z^4)/a^8 - (13*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 13189] -> 
  5 - 2/a^2 - 5*a^2 + 6*a^4 - 3*a^6 + 9*z^2 - (4*z^2)/a^2 - 8*a^2*z^2 + 
   14*a^4*z^2 - 6*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 12*a^4*z^4 - 
   4*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13190] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (11*z^2)/a^8 + 
   (27*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (27*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^8 + (4*z^6)/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 13191] -> a^(-12) - a^(-10) - 2/a^8 + 
   a^(-6) + 2/a^4 + (3*z^2)/a^12 - (11*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13192] -> 
  -5/a^8 + 8/a^6 - 2/a^4 - z^2/a^12 + z^2/a^10 - (10*z^2)/a^8 + 
   (25*z^2)/a^6 - (7*z^2)/a^4 - z^4/a^10 - (5*z^4)/a^8 + (29*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^6)/a^10 + (3*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 13193] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - z^2/a^12 + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 - (10*z^4)/a^8 + 
   (30*z^4)/a^6 - (9*z^4)/a^4 - (3*z^6)/a^10 + (2*z^6)/a^8 + (17*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 13194] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 13195] -> -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 - 
   10*z^2 - (5*z^2)/a^4 + (10*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 16*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13196] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 
   2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13197] -> -2 + a^2 + 7*a^4 - 5*a^6 - 9*z^2 + 
   7*a^2*z^2 + 24*a^4*z^2 - 14*a^6*z^2 - 10*z^4 + 15*a^2*z^4 + 32*a^4*z^4 - 
   14*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13198] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - 
   (3*z^2)/a^2 + 13*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   16*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13199] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 - (2*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   17*z^4 - z^4/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   9*z^6 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 13200] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^8 - (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 13201] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (4*z^2)/a^10 - (11*z^2)/a^8 + 
   (7*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^10 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13202] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (16*z^2)/a^4 + (31*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (15*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13203] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 
   8/a^2 - 5*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + (20*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13204] -> 
  -2 + a^2 + 7*a^4 - 5*a^6 - 2*z^2 - (4*z^2)/a^2 + 10*a^2*z^2 + 13*a^4*z^2 - 
   9*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 17*a^2*z^4 + 11*a^4*z^4 - 5*a^6*z^4 + 
   4*z^6 - z^6/a^2 + 10*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13205] -> -6 - 3/a^4 + 7/a^2 + 5*a^2 - 
   2*a^4 - 16*z^2 - (2*z^2)/a^6 + (13*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   16*z^4 - z^4/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   9*z^6 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 13206] -> -4 + 8*a^2 - a^4 - 2*a^6 - z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 15*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 5*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 13207] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + z^2/a^16 - (10*z^2)/a^14 + 
   (5*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^14 + 
   (8*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13208] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 15*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13209] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - 
   (2*z^2)/a^12 + (4*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13210] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - (3*z^2)/a^2 + 13*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 16*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13211] -> 2/a^10 - 11/a^8 + 18/a^6 - 
   12/a^4 + 4/a^2 + z^2/a^10 - (14*z^2)/a^8 + (39*z^2)/a^6 - (34*z^2)/a^4 + 
   (12*z^2)/a^2 - (2*z^4)/a^8 + (25*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + 
   (3*z^6)/a^8 + z^6/a^6 - (22*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13212] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 9*z^2 + 
   11*a^2*z^2 + 16*a^4*z^2 - 11*a^6*z^2 - 10*z^4 + 16*a^2*z^4 + 27*a^4*z^4 - 
   13*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13213] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - 
   z^4/a^8 + (16*z^4)/a^6 - (29*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^8 - 
   z^6/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13214] -> -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 
   19*z^2 - (7*z^2)/a^4 + (18*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 26*z^4 - 
   (5*z^4)/a^4 + (24*z^4)/a^2 + 25*a^2*z^4 - 5*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13215] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 
   3*z^2 - (2*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   3*z^4 - z^4/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13216] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   15*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13217] -> a^(-14) - 2/a^12 - a^(-10) + 
   a^(-8) + 2/a^6 - (3*z^2)/a^12 + z^2/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 13218] -> -a^(-2) + 4*a^2 - a^4 - a^6 - 
   (2*z^2)/a^2 + 8*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + z^4 - (2*z^4)/a^2 + 
   10*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13219] -> a^(-16) - 8/a^12 + 8/a^10 + (3*z^2)/a^16 - 
   (11*z^2)/a^14 - (9*z^2)/a^12 + (27*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - 
   (14*z^4)/a^14 + (7*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - 
   (4*z^6)/a^14 + (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13220] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (16*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 + (8*z^4)/a^10 - 
   (15*z^4)/a^8 + (13*z^4)/a^6 + (4*z^6)/a^12 - (5*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 13221] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - (2*z^2)/a^12 + 
   (7*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - 
   z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13222] -> -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 
   16*z^2 - (2*z^2)/a^6 + (13*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 13223] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 19*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13224] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   15*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (22*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + z^4/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (20*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 13225] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (24*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13226] -> -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 - 
   10*z^2 - (5*z^2)/a^4 + (10*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 16*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13227] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 
   2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13228] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (18*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 13229] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13230] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 19*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13231] -> -4 + 9*a^2 - 3*a^4 - a^6 - 
   10*z^2 + 19*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + 21*a^2*z^4 + 
   14*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13232] -> -5 + 12*a^2 - 6*a^4 - 9*z^2 - (2*z^2)/a^2 + 
   28*a^2*z^2 - 9*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 29*a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 15*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13233] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (14*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (4*z^4)/a^4 - (3*z^6)/a^10 + (2*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 13234] -> 5 - 2/a^2 - 5*a^2 + 6*a^4 - 
   3*a^6 + 9*z^2 - (4*z^2)/a^2 - 8*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13235] -> a^(-16) - 8/a^12 + 8/a^10 + (3*z^2)/a^16 - 
   (11*z^2)/a^14 - (9*z^2)/a^12 + (27*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - 
   (14*z^4)/a^14 + (7*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - 
   (4*z^6)/a^14 + (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13236] -> 
  -a^(-12) + 7/a^10 - 18/a^8 + 17/a^6 - 4/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (34*z^2)/a^8 + (44*z^2)/a^6 - (12*z^2)/a^4 + z^4/a^10 - (20*z^4)/a^8 + 
   (44*z^4)/a^6 - (13*z^4)/a^4 - (3*z^6)/a^10 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^10 + (4*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 13237] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13238] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^8 - (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 13239] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (16*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 + (8*z^4)/a^10 - 
   (15*z^4)/a^8 + (13*z^4)/a^6 + (4*z^6)/a^12 - (5*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 13240] -> 
  2/a^10 - 7/a^8 + 14/a^6 - 16/a^4 + 8/a^2 + (5*z^2)/a^10 - (20*z^2)/a^8 + 
   (35*z^2)/a^6 - (36*z^2)/a^4 + (12*z^2)/a^2 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (36*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 13241] -> 
  a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (27*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - 
   (29*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^8 - z^6/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 13242] -> 2/a^10 - 8/a^8 + 10/a^6 - 
   5/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + 
   (7*z^2)/a^2 + (2*z^4)/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 + 
   (4*z^6)/a^8 - (6*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13243] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 + 
   z^2/a^14 - (5*z^2)/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (14*z^4)/a^8 + (13*z^4)/a^6 + (4*z^6)/a^12 - 
   (6*z^6)/a^10 - (13*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13244] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - 
   (2*z^2)/a^12 + (4*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13245] -> 
  2 + 2/a^10 - 6/a^8 + 9/a^6 - 7/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (18*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13246] -> a^(-12) - 4/a^10 + 5/a^8 - 2/a^6 - a^(-4) + 
   2/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + (2*z^4)/a^10 + (5*z^4)/a^8 - (13*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 13247] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (9*z^4)/a^2 + (3*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13248] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - z^2/a^12 + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 - (10*z^4)/a^8 + 
   (30*z^4)/a^6 - (9*z^4)/a^4 - (3*z^6)/a^10 + (2*z^6)/a^8 + (17*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 13249] -> 2 + 2/a^10 - 6/a^8 + 9/a^6 - 
   7/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + (18*z^2)/a^6 - 
   (14*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (15*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13250] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - (2*z^2)/a^12 + 
   (7*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - 
   z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13251] -> 4 + 2/a^10 - 6/a^8 + 8/a^6 - 3/a^4 - 4/a^2 + 
   4*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - 
   (8*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 13252] -> 
  2/a^10 - 11/a^8 + 18/a^6 - 12/a^4 + 4/a^2 + z^2/a^10 - (14*z^2)/a^8 + 
   (39*z^2)/a^6 - (34*z^2)/a^4 + (12*z^2)/a^2 - (2*z^4)/a^8 + (25*z^4)/a^6 - 
   (38*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^8 + z^6/a^6 - (22*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 13253] -> -a^(-12) + 7/a^10 - 18/a^8 + 
   17/a^6 - 4/a^4 - z^2/a^12 + (9*z^2)/a^10 - (34*z^2)/a^8 + (44*z^2)/a^6 - 
   (12*z^2)/a^4 + z^4/a^10 - (20*z^4)/a^8 + (44*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^6)/a^10 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 13254] -> 2/a^10 - 7/a^8 + 14/a^6 - 16/a^4 + 8/a^2 + 
   (5*z^2)/a^10 - (20*z^2)/a^8 + (35*z^2)/a^6 - (36*z^2)/a^4 + (12*z^2)/a^2 + 
   (4*z^4)/a^10 - (22*z^4)/a^8 + (36*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (21*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 13255] -> 4 + 2/a^10 - 6/a^8 + 8/a^6 - 3/a^4 - 4/a^2 + 
   4*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - 
   (8*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 13256] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 13257] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 
   2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13258] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 13259] -> 
  4 + a^(-4) - 3/a^2 - a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13260] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13261] -> 4 - a^(-2) - 3*a^2 + a^4 + z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13262] -> 
  5 - 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13263] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13264] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - 2*a^4*z^2 + 
   18*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 21*a^6*z^4 - 
   7*a^8*z^4 - a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13265] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 
   a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 
   8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13266] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 + z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13267] -> 
  5*a^6 - 5*a^8 + a^10 + a^2*z^2 - 5*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 - 
   a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   12*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13268] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 13269] -> 
  5 - 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13270] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   9*a^4*z^2 + 30*a^6*z^2 - 14*a^8*z^2 - 12*a^4*z^4 + 35*a^6*z^4 - 
   5*a^8*z^4 - 4*a^10*z^4 - 6*a^4*z^6 + 21*a^6*z^6 + 6*a^8*z^6 - 4*a^10*z^6 - 
   a^4*z^8 + 7*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 13271] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 2*a^2*z^2 + 
   a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 14*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13272] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 4*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 + a^8*z^2 - 
   2*a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 2*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13273] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 6*a^4*z^2 + a^6*z^2 - a^10*z^2 - z^4 + 
   a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 13274] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 13275] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 
   2*a^4 - 13*z^2 - z^2/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13276] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 13277] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13278] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13279] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13280] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - 2*a^4*z^2 + 
   18*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 21*a^6*z^4 - 
   7*a^8*z^4 - a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13281] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 7*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13282] -> a^(-4) - a^(-2) + a^2 - 11*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13283] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 13284] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + (3*z^2)/a^8 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + (8*z^4)/a^8 - (11*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13285] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13286] -> a^(-4) - a^(-2) + a^2 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 13287] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 10*z^2 + z^2/a^6 - z^2/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (14*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13288] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 13289] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - z^2/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 + (6*z^4)/a^8 - (22*z^4)/a^4 + (11*z^4)/a^2 + (5*z^6)/a^8 - 
   (10*z^6)/a^6 - (18*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13290] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   z^4/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13291] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 3*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13292] -> 2 + a^(-6) - a^(-4) - a^(-2) - 5*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13293] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - z^4 + 
   z^4/a^8 - (7*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 13294] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13295] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13296] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13297] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - z^4 + z^4/a^8 - z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 13298] -> 
  a^(-6) - a^(-4) + a^2 - z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 13299] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13300] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13301] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^4 + a^2*z^2 - 
   2*z^4 + (2*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 13302] -> 
  1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 3*z^4 + z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 13303] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13304] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 13305] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 13306] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - (6*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13307] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13308] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   32*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 21*a^2*z^2 - 5*a^4*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13309] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 
   2*a^4 - 32*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 
   31*z^4 - (7*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13310] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 
   13/a^2 - 11*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (30*z^2)/a^4 + 
   (34*z^2)/a^2 - 11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (31*z^4)/a^4 + 
   (39*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13311] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 32*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 
   21*a^2*z^2 - 5*a^4*z^2 - 32*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13312] -> -8 + 2/a^2 + 14*a^2 - 9*a^4 + 2*a^6 - 
   19*z^2 + (4*z^2)/a^2 + 30*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + 
   (4*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13313] -> -10 - 3/a^4 + 8/a^2 + 10*a^2 - 4*a^4 - 
   24*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13314] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13315] -> -4 - 2/a^8 + 6/a^6 - 11/a^4 + 
   12/a^2 - 10*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (29*z^2)/a^4 + 
   (32*z^2)/a^2 - 10*z^4 - z^4/a^8 + (12*z^4)/a^6 - (32*z^4)/a^4 + 
   (37*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13316] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - (6*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13317] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 18*z^2 + (7*z^2)/a^6 - (26*z^2)/a^4 + 
   (35*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (9*z^4)/a^6 - (33*z^4)/a^4 + 
   (36*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (21*z^6)/a^4 + 
   (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13318] -> -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13319] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13320] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13321] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13322] -> -6*a^2 + 15*a^4 - 8*a^6 - 31*a^2*z^2 + 
   72*a^4*z^2 - 32*a^6*z^2 - 46*a^2*z^4 + 124*a^4*z^4 - 46*a^6*z^4 - 
   30*a^2*z^6 + 106*a^4*z^6 - 30*a^6*z^6 - 9*a^2*z^8 + 48*a^4*z^8 - 
   9*a^6*z^8 - a^2*z^10 + 11*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 13323] -> -1 - 2*a^2 + 10*a^4 - 6*a^6 - 9*z^2 + 
   3*a^2*z^2 + 31*a^4*z^2 - 17*a^6*z^2 - 12*z^4 + 16*a^2*z^4 + 39*a^4*z^4 - 
   17*a^6*z^4 - 6*z^6 + 17*a^2*z^6 + 25*a^4*z^6 - 7*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13324] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 11*z^2 + 
   13*a^2*z^2 + 17*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + 24*a^2*z^4 + 25*a^4*z^4 - 
   13*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13325] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 4*z^2 - 
   (3*z^2)/a^2 + 12*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 + z^4 - (3*z^4)/a^2 + 
   18*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13326] -> -3 + 6*a^2 - 2*a^6 - 10*z^2 + 15*a^2*z^2 + 
   10*a^4*z^2 - 9*a^6*z^2 - 12*z^4 + 22*a^2*z^4 + 21*a^4*z^4 - 12*a^6*z^4 - 
   6*z^6 + 18*a^2*z^6 + 18*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 13327] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 - (3*z^2)/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 
   5*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 14*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13328] -> 5/a^12 - 14/a^10 + 10/a^8 + 
   (25*z^2)/a^12 - (65*z^2)/a^10 + (45*z^2)/a^8 + (41*z^4)/a^12 - 
   (113*z^4)/a^10 + (62*z^4)/a^8 + (29*z^6)/a^12 - (100*z^6)/a^10 + 
   (37*z^6)/a^8 + (9*z^8)/a^12 - (47*z^8)/a^10 + (10*z^8)/a^8 + z^10/a^12 - 
   (11*z^10)/a^10 + z^10/a^8 - z^12/a^10, Knot[14, Alternating, 13329] -> 
  4/a^12 - 10/a^10 + 5/a^8 + 2/a^6 + (14*z^2)/a^12 - (29*z^2)/a^10 + 
   (6*z^2)/a^8 + (13*z^2)/a^6 + (16*z^4)/a^12 - (36*z^4)/a^10 - (8*z^4)/a^8 + 
   (16*z^4)/a^6 + (7*z^6)/a^12 - (24*z^6)/a^10 - (15*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^12 - (8*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13330] -> 3/a^12 - 6/a^10 + 4/a^6 + (10*z^2)/a^12 - 
   (17*z^2)/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 + (12*z^4)/a^12 - 
   (23*z^4)/a^10 - (17*z^4)/a^8 + (17*z^4)/a^6 + (6*z^6)/a^12 - 
   (18*z^6)/a^10 - (17*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13331] -> 3/a^12 - 6/a^10 + 4/a^6 + (7*z^2)/a^12 - 
   (10*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^12 - 
   (9*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (5*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13332] -> 
  2/a^12 - 2/a^10 - 5/a^8 + 6/a^6 + (9*z^2)/a^12 - (13*z^2)/a^10 - 
   (11*z^2)/a^8 + (17*z^2)/a^6 + (12*z^4)/a^12 - (22*z^4)/a^10 - 
   (18*z^4)/a^8 + (17*z^4)/a^6 + (6*z^6)/a^12 - (18*z^6)/a^10 - 
   (17*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[14, Alternating, 13333] -> 
  2/a^12 - 3/a^10 - a^(-8) + a^(-6) + 2/a^4 + (5*z^2)/a^12 - (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - (6*z^4)/a^10 - 
   (13*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13334] -> 2/a^12 - 2/a^10 - 5/a^8 + 6/a^6 + 
   (5*z^2)/a^12 - (5*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13335] -> 
  2 - a^(-2) - 3*a^2 + 7*a^4 - 4*a^6 + 6*z^2 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   15*a^4*z^2 - 8*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 14*a^4*z^4 - 
   5*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13336] -> 
  3/a^12 - 7/a^10 + 4/a^8 - a^(-6) + 2/a^4 + (7*z^2)/a^12 - (14*z^2)/a^10 + 
   (5*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^12 - (13*z^4)/a^10 - 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - 
   (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13337] -> 2/a^12 - 3/a^10 - a^(-8) + a^(-6) + 2/a^4 + 
   (3*z^2)/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 13338] -> -4 + 10*a^2 - 5*a^4 - 12*z^2 + 25*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 - 13*z^4 + 30*a^2*z^4 + 7*a^4*z^4 - 8*a^6*z^4 - 
   6*z^6 + 20*a^2*z^6 + 12*a^4*z^6 - 5*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 13339] -> 
  5 - 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 10*z^2 - (5*z^2)/a^2 - 6*a^2*z^2 + 
   10*a^4*z^2 - 5*a^6*z^2 + 10*z^4 - (4*z^4)/a^2 + 10*a^4*z^4 - 4*a^6*z^4 + 
   5*z^6 - z^6/a^2 + 3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13340] -> a^(-12) + 2/a^10 - 10/a^8 + 
   8/a^6 + (5*z^2)/a^12 - z^2/a^10 - (23*z^2)/a^8 + (20*z^2)/a^6 + 
   (8*z^4)/a^12 - (9*z^4)/a^10 - (27*z^4)/a^8 + (18*z^4)/a^6 + (5*z^6)/a^12 - 
   (12*z^6)/a^10 - (19*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13341] -> 2/a^12 - 4/a^10 + 3/a^8 - 4/a^6 + 4/a^4 + 
   (5*z^2)/a^12 - (10*z^2)/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + 
   (4*z^4)/a^12 - (10*z^4)/a^10 - (9*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - 
   z^8/a^6, Knot[14, Alternating, 13342] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 
   2*a^2 - 18*z^2 + (7*z^2)/a^6 - (26*z^2)/a^4 + (35*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 + (9*z^4)/a^6 - (33*z^4)/a^4 + (36*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (17*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13343] -> 
  a^(-12) + 2/a^10 - 10/a^8 + 8/a^6 + (3*z^2)/a^12 + (3*z^2)/a^10 - 
   (23*z^2)/a^8 + (16*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - 
   (25*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13344] -> a^(-12) + 2/a^10 - 10/a^8 + 8/a^6 + 
   (3*z^2)/a^12 + (3*z^2)/a^10 - (23*z^2)/a^8 + (16*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 + z^4/a^10 - (25*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13345] -> 
  -a^(-4) + 2/a^2 - 2*a^2 + 4*a^4 - 2*a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 + z^6/a^2 + a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 13346] -> 2/a^12 - 4/a^10 + 2/a^8 - a^(-4) + 2/a^2 + 
   (3*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, Alternating, 13347] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   19*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13348] -> -3 + 6*a^2 - 2*a^6 - 2*z^2 - 
   (4*z^2)/a^2 + 15*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 
   18*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 10*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13349] -> 2/a^12 - 2/a^10 - 5/a^8 + 6/a^6 + 
   (3*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 13350] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 
   5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13351] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 4*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 13352] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13353] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (22*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 + 
   (12*z^4)/a^6 - (28*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^8 - (2*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 13354] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 15*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   21*a^2*z^2 - 8*a^4*z^2 - 20*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13355] -> 2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (32*z^2)/a^6 - (31*z^2)/a^4 + (12*z^2)/a^2 + 
   z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + (13*z^4)/a^2 + (4*z^6)/a^8 - 
   (4*z^6)/a^6 - (21*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13356] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13357] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 
   2*a^4 - 19*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   24*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 13358] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (22*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13359] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   21*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 22*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13360] -> 2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 
   2*a^4 + 2*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13361] -> -4 + 10*a^2 - 5*a^4 - 8*z^2 - (2*z^2)/a^2 + 
   25*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 28*a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 15*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13362] -> 
  a^(-12) - 4/a^10 + 3/a^8 + 4/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^10 + 
   (10*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + (2*z^4)/a^10 + 
   (5*z^4)/a^8 - (11*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - 
   (2*z^6)/a^8 - (9*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 13363] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - (23*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (16*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 13364] -> a^(-10) - 6/a^8 + 11/a^6 - 
   9/a^4 + 4/a^2 + (4*z^2)/a^10 - (14*z^2)/a^8 + (25*z^2)/a^6 - 
   (21*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - 
   (22*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (15*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[14, Alternating, 13365] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 12*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13366] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 15*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   21*a^2*z^2 - 8*a^4*z^2 - 20*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13367] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4/a^6 + 
   (5*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 13368] -> 
  a^(-12) + a^(-10) - 6/a^8 + 3/a^6 + 2/a^4 + (3*z^2)/a^12 + z^2/a^10 - 
   (15*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13369] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13370] -> 
  5 - a^(-8) + 2/a^6 - a^(-4) - 2/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13371] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 13372] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 + 3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 13373] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (24*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 13374] -> -4 - 2/a^8 + 6/a^6 - 11/a^4 + 
   12/a^2 - 10*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (29*z^2)/a^4 + 
   (32*z^2)/a^2 - 10*z^4 - z^4/a^8 + (12*z^4)/a^6 - (32*z^4)/a^4 + 
   (37*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13375] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (30*z^2)/a^4 + (34*z^2)/a^2 - 11*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (31*z^4)/a^4 + (39*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (23*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13376] -> -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13377] -> -4 - a^(-8) + 4/a^6 - 10/a^4 + 
   12/a^2 - 8*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + 
   (26*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (25*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (11*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13378] -> -4 + 10*a^2 - 5*a^4 - 8*z^2 - (2*z^2)/a^2 + 
   25*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 28*a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 15*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13379] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13380] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (17*z^4)/a^8 + (6*z^4)/a^6 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 13381] -> 
  5 - a^(-8) + 2/a^6 - a^(-4) - 2/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13382] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4/a^6 + 
   (5*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 13383] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (21*z^4)/a^6 - (25*z^4)/a^4 + (7*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 13384] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 
   2*a^4 - 5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13385] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 13386] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13387] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13388] -> 
  -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 21*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   23*a^2*z^2 - 8*a^4*z^2 - 22*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13389] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13390] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + (4*z^2)/a^10 - (14*z^2)/a^8 + 
   (25*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (24*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (15*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 13391] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13392] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   32*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 31*z^4 - 
   (7*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13393] -> 2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 2*a^4 + 
   2*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 
   z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13394] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13395] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (6*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13396] -> -10 - 3/a^4 + 8/a^2 + 10*a^2 - 4*a^4 - 
   24*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13397] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 
   4/a^2 + z^2/a^10 - (7*z^2)/a^8 + (22*z^2)/a^6 - (24*z^2)/a^4 + 
   (10*z^2)/a^2 + (12*z^4)/a^6 - (28*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13398] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13399] -> 2/a^10 - 10/a^8 + 16/a^6 - 
   11/a^4 + 4/a^2 + z^2/a^10 - (11*z^2)/a^8 + (32*z^2)/a^6 - (31*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + (13*z^4)/a^2 + 
   (4*z^6)/a^8 - (4*z^6)/a^6 - (21*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13400] -> a^(-12) - 4/a^10 + 3/a^8 + 4/a^6 - 7/a^4 + 
   4/a^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 + (2*z^4)/a^10 + (5*z^4)/a^8 - (11*z^4)/a^6 - (10*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 13401] -> 
  a^(-14) - 7/a^12 + 23/a^10 - 32/a^8 + 16/a^6 + z^2/a^14 - (7*z^2)/a^12 + 
   (36*z^2)/a^10 - (64*z^2)/a^8 + (32*z^2)/a^6 + (2*z^4)/a^12 + 
   (16*z^4)/a^10 - (56*z^4)/a^8 + (24*z^4)/a^6 + (4*z^6)/a^12 - 
   (4*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 13402] -> 1 - 7*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + 
   2*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13403] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 13404] -> 4*a^6 - 3*a^8 - 2*a^4*z^2 + 10*a^6*z^2 + 
   2*a^8*z^2 - 4*a^10*z^2 - 7*a^4*z^4 + 14*a^6*z^4 + 12*a^8*z^4 - 
   8*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 13405] -> a^4 + 2*a^6 - 2*a^8 - a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13406] -> 
  1 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 13407] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 10*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 15*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 13408] -> 
  -1 + 3*a^2 - a^6 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   3*z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 13409] -> -a^4 + 6*a^6 - 4*a^8 - 7*a^4*z^2 + 
   22*a^6*z^2 - 5*a^8*z^2 - 3*a^10*z^2 - 11*a^4*z^4 + 28*a^6*z^4 + 
   5*a^8*z^4 - 7*a^10*z^4 - 6*a^4*z^6 + 19*a^6*z^6 + 11*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 13410] -> 4*a^6 - 3*a^8 - 2*a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   12*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13411] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   13*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13412] -> 2 - 2*a^2 + 2*a^6 - a^8 - z^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 18*a^4*z^4 + 
   14*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 15*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13413] -> a^4 + 2*a^6 - 2*a^8 - z^2 + a^2*z^2 + 
   a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 13414] -> a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 13415] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 13416] -> 2*a^4 - a^8 - a^2*z^2 + a^4*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13417] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 13418] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 + z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13419] -> 
  2*a^4 - a^8 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13420] -> a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 13421] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13422] -> a^(-4) - a^(-2) + a^2 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 13423] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13424] -> 4*a^2 - 5*a^4 + 2*a^6 + 
   3*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   8*a^4*z^4 + 12*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + 2*a^2*z^6 - 7*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13425] -> -2/a^8 + 2/a^6 + a^(-4) + (7*z^2)/a^8 - 
   (13*z^2)/a^6 + (11*z^2)/a^4 + (24*z^4)/a^8 - (55*z^4)/a^6 + (25*z^4)/a^4 + 
   (22*z^6)/a^8 - (68*z^6)/a^6 + (22*z^6)/a^4 + (8*z^8)/a^8 - (38*z^8)/a^6 + 
   (8*z^8)/a^4 + z^10/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[14, Alternating, 13426] -> -a^(-8) + 2/a^4 + (6*z^2)/a^8 - 
   (9*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + (11*z^4)/a^8 - (21*z^4)/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^8 - (18*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 13427] -> -2/a^6 + 3/a^4 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^2 + (8*z^4)/a^8 - (12*z^4)/a^6 - (11*z^4)/a^4 + 
   (8*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13428] -> -2/a^6 + 3/a^4 + z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 2*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13429] -> a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - 
   (9*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + (8*z^4)/a^8 - (14*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - (12*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 13430] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) + z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13431] -> a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13432] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 3*z^4 + (4*z^4)/a^8 - 
   (9*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13433] -> a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13434] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + a^2*z^2 - z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 13435] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13436] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + a^2*z^2 - z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 13437] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (3*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13438] -> a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13439] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13440] -> 2/a^8 - 6/a^6 + 5/a^4 + z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13441] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13442] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 - 
   5*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + 
   (6*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13443] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13444] -> 2/a^8 - 6/a^6 + 5/a^4 + z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13445] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   a^2*z^2 - 2*z^4 + z^4/a^8 - (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[14, Alternating, 13446] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13447] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 6*z^4 + (7*z^4)/a^6 - 
   (12*z^4)/a^4 - (6*z^4)/a^2 + 5*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (11*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 13448] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 13449] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 13450] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*z^4 + z^4/a^6 - (3*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 13451] -> 
  a^(-6) - a^(-4) + a^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - z^4 + 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 13452] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (8*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   6*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 13453] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13454] -> 
  a^(-4) - a^(-2) + a^2 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 13455] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 13456] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 7*a^2*z^2 - 
   15*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 8*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 
   3*a^8*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 6*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 13457] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 2*a^8*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[14, Alternating, 13458] -> 4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + 
   a^10 + 8*a^2*z^2 - 21*a^4*z^2 + 21*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 
   9*a^2*z^4 - 25*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 
   a^6*z^6 + 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[14, Alternating, 13459] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 8*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13460] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 + z^4/a^2 - 2*a^6*z^4 + 
   a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[14, Alternating, 13461] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 8*z^4 + 17*a^2*z^4 - 4*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 
   7*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[14, Alternating, 13462] -> 2*a^2 - a^4 - z^2 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13463] -> -a^(-4) + 2/a^2 - 7*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13464] -> 1 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 13465] -> -a^(-4) + 2/a^2 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13466] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 2*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13467] -> 3*a^6 - a^8 - a^10 - a^6*z^2 + 19*a^8*z^2 - 
   11*a^10*z^2 - 19*a^6*z^4 + 60*a^8*z^4 - 25*a^10*z^4 - 21*a^6*z^6 + 
   69*a^8*z^6 - 22*a^10*z^6 - 8*a^6*z^8 + 38*a^8*z^8 - 8*a^10*z^8 - 
   a^6*z^10 + 10*a^8*z^10 - a^10*z^10 + a^8*z^12, 
 Knot[14, Alternating, 13468] -> a^4 + a^6 - a^10 + 2*a^6*z^2 + 11*a^8*z^2 - 
   7*a^10*z^2 - 6*a^4*z^4 + 7*a^6*z^4 + 22*a^8*z^4 - 11*a^10*z^4 - 
   5*a^4*z^6 + 11*a^6*z^6 + 18*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 13469] -> 2*a^4 - a^6 + a^8 - a^10 - a^4*z^2 + 
   5*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 - 7*a^4*z^4 + 13*a^6*z^4 + 13*a^8*z^4 - 
   8*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 13470] -> 2*a^4 - a^6 + a^8 - a^10 + 4*a^6*z^2 + 
   5*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 10*a^6*z^4 + 6*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13471] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^4*z^2 + 8*a^8*z^2 - 5*a^10*z^2 - 
   6*a^4*z^4 + 9*a^6*z^4 + 14*a^8*z^4 - 8*a^10*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 
   13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 13472] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - 
   2*a^2*z^4 + 8*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13473] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 2*a^2*z^2 + 
   5*a^4*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 7*a^6*z^4 + 
   4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13474] -> 
  a^2 + a^8 - a^10 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 + 9*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 13475] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 
   2*a^2*z^2 + 5*a^4*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   7*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13476] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - z^2 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 13477] -> a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 13478] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - z^2 + a^2*z^2 + 2*a^4*z^2 + 3*a^8*z^2 - 
   2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 13479] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 3*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 - 7*a^4*z^4 + 15*a^6*z^4 + 5*a^8*z^4 - 5*a^10*z^4 - 
   5*a^4*z^6 + 14*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 13480] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13481] -> 4 - a^(-4) - 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 
   3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13482] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 
   2*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13483] -> 
  -a^(-4) + 2/a^2 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   2*a^2*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 13484] -> 
  4 - a^(-4) - 2*a^2 - 7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13485] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 13486] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13487] -> 1 - a^6 + 2*a^8 - a^10 - z^2 + a^2*z^2 - 
   a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 + a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 13488] -> -a^(-4) + 2/a^2 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13489] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 13490] -> 
  4 - a^(-2) - 3*a^2 + a^4 + z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13491] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + 
   z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13492] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 
   16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 25*a^4*z^4 + 
   16*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13493] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13494] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 13495] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 + (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (29*z^4)/a^4 + (12*z^4)/a^2 + (4*z^6)/a^8 - (5*z^6)/a^6 - 
   (20*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 13496] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13497] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13498] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 
   16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 25*a^4*z^4 + 
   16*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13499] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + 
   z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13500] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13501] -> 2*a^2 - a^4 - a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 13*a^2*z^4 + 28*a^4*z^4 - 13*a^6*z^4 - 16*a^2*z^6 + 
   45*a^4*z^6 - 16*a^6*z^6 - 7*a^2*z^8 + 30*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[14, Alternating, 13502] -> 
  1 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + a^2*z^4 + 12*a^4*z^4 - 
   7*a^6*z^4 - 4*z^6 + 7*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 13503] -> 
  2 - 2*a^2 + a^4 + z^2 - 5*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + 
   2*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13504] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 - (2*z^4)/a^2 + 3*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13505] -> 
  a^(-2) - a^2 + a^4 - z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13506] -> 5 - 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13507] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - 2*a^4*z^2 + 
   18*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 21*a^6*z^4 - 
   7*a^8*z^4 - a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13508] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 
   a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 
   8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13509] -> 
  2*a^4 - a^8 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13510] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 + z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13511] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 9*a^4*z^2 + 
   30*a^6*z^2 - 14*a^8*z^2 - 12*a^4*z^4 + 35*a^6*z^4 - 5*a^8*z^4 - 
   4*a^10*z^4 - 6*a^4*z^6 + 21*a^6*z^6 + 6*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 13512] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 2*a^2*z^2 + 
   a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 14*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13513] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 13514] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13515] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - 2*a^4*z^2 + 
   18*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 21*a^6*z^4 - 
   7*a^8*z^4 - a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13516] -> 
  2*a^4 - a^8 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 13517] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + z^4 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13518] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13519] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 13520] -> 
  3*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 13521] -> 
  3*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 13522] -> 
  3 - 4*a^2 + 2*a^4 + z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   3*z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13523] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13524] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13525] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 12*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 13526] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13527] -> 3 - 4*a^2 + 2*a^4 + z^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13528] -> 
  -1 + a^(-2) + a^2 - z^2 + 24*z^4 - (12*z^4)/a^2 - 12*a^2*z^4 + 44*z^6 - 
   (16*z^6)/a^2 - 16*a^2*z^6 + 30*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 13529] -> 
  a^(-4) - a^(-2) + a^2 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   13*z^4 - (3*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 - (4*z^6)/a^4 + 
   (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + 
   z^10/a^2, Knot[14, Alternating, 13530] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 - 2*a^4*z^4 + 
   6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 13531] -> 5*a^6 - 5*a^8 + a^10 + a^2*z^2 - 
   5*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 - a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13532] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 
   6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13533] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 13534] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13535] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13536] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 13537] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 13538] -> 1 + 2*z^2 - z^2/a^2 - 
   2*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 - 5*z^6 + z^6/a^2 + 7*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13539] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (12*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[14, Alternating, 13540] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 13541] -> 
  4 + a^(-4) - 3/a^2 - a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13542] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 19*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   4*a^2*z^4 - 19*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 13543] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - 
   a^8 - 4*z^2 + 18*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13544] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13545] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + 
   a^10 + 6*a^2*z^2 - 18*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   6*a^2*z^4 - 23*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 13546] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 
   2*a^2 + a^4 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 13547] -> 2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   5*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13548] -> 
  5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 19*a^4*z^2 + 
   21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 4*a^2*z^4 - 19*a^4*z^4 + 
   23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13549] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 4*z^2 + 
   18*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13550] -> -6 + a^(-6) - 7/a^4 + 12/a^2 + a^2 - 
   15*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13551] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   18*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   24*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13552] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13553] -> 
  3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13554] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 13555] -> 
  -6 + a^(-6) - 7/a^4 + 12/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13556] -> 4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 
   8*a^2*z^2 - 24*a^4*z^2 + 28*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 + 
   9*a^2*z^4 - 32*a^4*z^4 + 32*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 
   21*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 13557] -> 2 - 2*a^2 - a^4 + 5*a^6 - 
   4*a^8 + a^10 + 3*z^2 - 6*a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - 7*a^2*z^4 - 4*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 13558] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   19*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13559] -> 
  1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 13560] -> 
  3*a^4 - 2*a^6 + 2*a^2*z^2 + a^6*z^2 + 5*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 
   2*a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 13561] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   a^8*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13562] -> -a^2 + 5*a^4 - 3*a^6 + 5*a^4*z^2 - a^6*z^2 + 
   z^4 + 2*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + z^6 - 8*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 13563] -> 
  5 - 2/a^2 - 2*a^2 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 13564] -> 4 - a^(-4) - 2*a^2 + z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13565] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 13566] -> 
  -4 + 8*a^2 - a^4 - 2*a^6 - 7*z^2 - (2*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 27*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 15*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 13567] -> 7 - 2/a^4 - a^(-2) - a^2 - 
   2*a^4 + 9*z^2 - (7*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 - 
   3*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 11*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 13568] -> 
  2 - 4/a^4 + 5/a^2 - a^2 - a^4 + 3*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 13569] -> 
  6/a^16 - 15/a^14 + 7/a^12 + 3/a^10 + (11*z^2)/a^16 - (47*z^2)/a^14 + 
   (32*z^2)/a^12 + (16*z^2)/a^10 + (6*z^4)/a^16 - (50*z^4)/a^14 + 
   (58*z^4)/a^12 + (29*z^4)/a^10 + z^6/a^16 - (21*z^6)/a^14 + (46*z^6)/a^12 + 
   (23*z^6)/a^10 - (3*z^8)/a^14 + (16*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 13570] -> 
  4/a^16 - 9/a^14 + 2/a^12 + 3/a^10 + a^(-8) + (4*z^2)/a^16 - (20*z^2)/a^14 + 
   (6*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + 
   (12*z^4)/a^12 + (27*z^4)/a^10 + (8*z^4)/a^8 - (3*z^6)/a^14 + 
   (9*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 13571] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 10*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (30*z^2)/a^4 + 
   (30*z^2)/a^2 - 10*z^4 - z^4/a^8 + (12*z^4)/a^6 - (32*z^4)/a^4 + 
   (37*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13572] -> 
  -2 + 4*a^2 - a^8 - 3*z^2 - z^2/a^2 + 9*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 
   z^4 - z^4/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 13573] -> 
  3 - 2/a^4 + a^(-2) + a^2 - 2*a^4 + 5*z^2 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 13574] -> 3/a^16 - 5/a^14 - 4/a^12 + 7/a^10 + 
   (4*z^2)/a^16 - (17*z^2)/a^14 - (2*z^2)/a^12 + (23*z^2)/a^10 + 
   (3*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (9*z^4)/a^12 + (31*z^4)/a^10 + 
   (7*z^4)/a^8 - (3*z^6)/a^14 + (9*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13575] -> 
  2/a^16 - 3/a^14 - 3/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (4*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   (2*z^4)/a^12 + (14*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13576] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 13577] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13578] -> 1 + 2/a^4 - 3/a^2 + a^2 + 
   z^2/a^4 - (4*z^2)/a^2 + z^4/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 
   (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 13579] -> 
  a^4 + 2*a^6 - 2*a^8 + 5*a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 9*a^6*z^4 + 5*a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 13580] -> 2*a^4 - a^8 + 2*a^2*z^2 + 
   a^4*z^2 + a^8*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 13581] -> 
  a^2 + a^6 - a^8 + z^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 + a^8*z^2 + 2*z^4 - 
   a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13582] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^4 + 
   a^2*z^2 + a^6*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 13583] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   6*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   7*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13584] -> -1 + 3*a^2 - a^6 - z^2 + z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 13585] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13586] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (19*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 + (9*z^4)/a^6 - (28*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (15*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13587] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + z^4/a^8 - 
   (7*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 13588] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   z^4 + 3*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + z^6 - 9*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 13589] -> 
  a^2 + a^4 - a^6 - z^2 + z^2/a^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13590] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13591] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13592] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - z^4 - z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 13593] -> a^(-6) - a^(-4) + a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 13594] -> 
  -2 + 9*a^4 - 6*a^6 - 9*z^2 + 8*a^2*z^2 + 23*a^4*z^2 - 13*a^6*z^2 - 12*z^4 + 
   20*a^2*z^4 + 27*a^4*z^4 - 13*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 19*a^4*z^6 - 
   6*a^6*z^6 - z^8 + 7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13595] -> -4 + 7*a^2 + a^4 - 3*a^6 - 6*z^2 - 
   (2*z^2)/a^2 + 18*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 - (3*z^4)/a^2 + 
   19*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13596] -> 6/a^16 - 16/a^14 + 9/a^12 + 2/a^10 + 
   (11*z^2)/a^16 - (50*z^2)/a^14 + (39*z^2)/a^12 + (13*z^2)/a^10 + 
   (6*z^4)/a^16 - (51*z^4)/a^14 + (63*z^4)/a^12 + (28*z^4)/a^10 + z^6/a^16 - 
   (21*z^6)/a^14 + (47*z^6)/a^12 + (23*z^6)/a^10 - (3*z^8)/a^14 + 
   (16*z^8)/a^12 + (8*z^8)/a^10 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[14, Alternating, 13597] -> 4/a^16 - 9/a^14 + a^(-12) + 5/a^10 + 
   (4*z^2)/a^16 - (20*z^2)/a^14 + (3*z^2)/a^12 + (23*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (11*z^4)/a^12 + (32*z^4)/a^10 + 
   (7*z^4)/a^8 - (3*z^6)/a^14 + (9*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13598] -> 
  4/a^16 - 10/a^14 + 4/a^12 + 2/a^10 + a^(-8) + (4*z^2)/a^16 - 
   (23*z^2)/a^14 + (14*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + z^4/a^16 - 
   (15*z^4)/a^14 + (20*z^4)/a^12 + (19*z^4)/a^10 + (11*z^4)/a^8 - 
   (3*z^6)/a^14 + (11*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13599] -> 
  2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   (4*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13600] -> 
  -4/a^4 + 6/a^2 - a^4 - 6*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - z^4/a^6 + (4*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 13601] -> -4 - 2/a^8 + 5/a^6 - 9/a^4 + 11/a^2 - 
   11*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (27*z^2)/a^4 + (33*z^2)/a^2 - 
   10*z^4 - z^4/a^8 + (12*z^4)/a^6 - (31*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13602] -> 
  2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + (3*z^2)/a^16 - (10*z^2)/a^14 - 
   (14*z^2)/a^12 + (31*z^2)/a^10 + z^2/a^8 + z^4/a^16 - (11*z^4)/a^14 - 
   (2*z^4)/a^12 + (41*z^4)/a^10 + (4*z^4)/a^8 - (3*z^6)/a^14 + (6*z^6)/a^12 + 
   (22*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 13603] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   (3*z^2)/a^16 - (10*z^2)/a^14 - (14*z^2)/a^12 + (31*z^2)/a^10 + z^2/a^8 + 
   z^4/a^16 - (11*z^4)/a^14 - (2*z^4)/a^12 + (41*z^4)/a^10 + (4*z^4)/a^8 - 
   (3*z^6)/a^14 + (6*z^6)/a^12 + (22*z^6)/a^10 + (4*z^6)/a^8 + (2*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13604] -> 
  -4 - 2/a^8 + 5/a^6 - 9/a^4 + 11/a^2 - 11*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (27*z^2)/a^4 + (33*z^2)/a^2 - 10*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (31*z^4)/a^4 + (38*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13605] -> -1 + 4*a^4 - 2*a^8 - 4*z^2 + 3*a^2*z^2 + 
   11*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 14*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 13606] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 2*z^2 - z^2/a^2 + 6*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 13607] -> 
  3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + (4*z^2)/a^16 - (18*z^2)/a^14 + 
   (24*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (10*z^4)/a^12 + 
   (32*z^4)/a^10 + (7*z^4)/a^8 - (3*z^6)/a^14 + (9*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 13608] -> 2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + 
   z^2/a^16 - (7*z^2)/a^14 - (5*z^2)/a^12 + (13*z^2)/a^10 + (9*z^2)/a^8 - 
   (3*z^4)/a^14 + (2*z^4)/a^12 + (15*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13609] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (8*z^2)/a^14 - z^2/a^12 + (10*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (4*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13610] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 - (3*z^2)/a^14 - (3*z^2)/a^12 + (5*z^2)/a^10 + (8*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^4)/a^12 + (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 13611] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 
   2*a^4 + z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 
   z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, Alternating, 13612] -> -a^(-8) + 2/a^6 - 4/a^4 + 
   5/a^2 - a^2 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 13613] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^16 - (4*z^2)/a^14 - (9*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^4)/a^14 - z^4/a^12 + (15*z^4)/a^10 + (13*z^4)/a^8 + z^4/a^6 + 
   (2*z^6)/a^12 + (6*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13614] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^16 - (4*z^2)/a^14 - (9*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^4)/a^14 - z^4/a^12 + (15*z^4)/a^10 + (13*z^4)/a^8 + z^4/a^6 + 
   (2*z^6)/a^12 + (6*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13615] -> -a^(-8) + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 13616] -> 3 + 2/a^4 - 4/a^2 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13617] -> 2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^2 - 11*z^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13618] -> 1 + a^2 - 2*a^4 + a^6 + 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13619] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13620] -> a^(-4) - a^(-2) + a^2 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 13621] -> 3 - a^(-2) - a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13622] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 4*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 13623] -> 
  -a^4 + 6*a^6 - 4*a^8 + 2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 13*a^4*z^4 - 
   22*a^6*z^4 + 12*a^8*z^4 + 16*a^4*z^6 - 44*a^6*z^6 + 16*a^8*z^6 + 
   7*a^4*z^8 - 30*a^6*z^8 + 7*a^8*z^8 + a^4*z^10 - 9*a^6*z^10 + a^8*z^10 - 
   a^6*z^12, Knot[14, Alternating, 13624] -> 4*a^6 - 3*a^8 + a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 + a^8*z^2 + 4*a^2*z^4 - a^4*z^4 - 11*a^6*z^4 + 
   7*a^8*z^4 + 4*a^2*z^6 - 7*a^4*z^6 - 13*a^6*z^6 + 5*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 13625] -> a^4 + 2*a^6 - 2*a^8 + 4*a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 8*a^2*z^4 - 15*a^4*z^4 + a^6*z^4 + 
   4*a^8*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 7*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 13626] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   a^2*z^2 + 2*a^6*z^2 + a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 2*a^4*z^4 - 
   4*a^6*z^4 + 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[14, Alternating, 13627] -> 
  -a^4 + 6*a^6 - 4*a^8 + 3*a^2*z^2 - 7*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 
   7*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 
   5*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[14, Alternating, 13628] -> 
  4*a^6 - 3*a^8 + z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 13629] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   3*z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13630] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2/a^2 - 
   a^4*z^2 + 4*a^6*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[14, Alternating, 13631] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - a^2*z^2 + 7*a^4*z^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   8*a^6*z^4 + 5*a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 13632] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13633] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13634] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + 4*a^8*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 13635] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 + a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 
   5*a^4*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 13636] -> 
  2*a^4 - a^8 + z^2 + a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 13637] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 - z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13638] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4 - z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 13639] -> 1 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 13640] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13641] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13642] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + 4*a^2*z^4 - 5*a^4*z^4 + 3*a^8*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 
   7*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[14, Alternating, 13643] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + z^4 + 
   a^2*z^4 - 4*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13644] -> 1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 13645] -> -1 + a^(-2) + a^2 - 8*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 15*z^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13646] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + (6*z^2)/a^10 - (16*z^2)/a^8 + 
   (14*z^2)/a^6 - (12*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 - z^6/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13647] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 13648] -> 
  6/a^16 - 17/a^14 + 11/a^12 + a^(-10) + (11*z^2)/a^16 - (54*z^2)/a^14 + 
   (48*z^2)/a^12 + (9*z^2)/a^10 + (6*z^4)/a^16 - (55*z^4)/a^14 + 
   (75*z^4)/a^12 + (24*z^4)/a^10 + z^6/a^16 - (22*z^6)/a^14 + (53*z^6)/a^12 + 
   (22*z^6)/a^10 - (3*z^8)/a^14 + (17*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 13649] -> 
  4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + (4*z^2)/a^16 - (23*z^2)/a^14 + 
   (10*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (16*z^4)/a^12 + (31*z^4)/a^10 + (7*z^4)/a^8 - (3*z^6)/a^14 + 
   (10*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13650] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + (3*z^2)/a^16 - (13*z^2)/a^14 - 
   (6*z^2)/a^12 + (26*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (12*z^4)/a^14 + 
   (6*z^4)/a^12 + (33*z^4)/a^10 + (7*z^4)/a^8 - (3*z^6)/a^14 + (8*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 13651] -> -8*a^2 + 19*a^4 - 10*a^6 - 32*a^2*z^2 + 
   76*a^4*z^2 - 33*a^6*z^2 - 46*a^2*z^4 + 125*a^4*z^4 - 46*a^6*z^4 - 
   30*a^2*z^6 + 106*a^4*z^6 - 30*a^6*z^6 - 9*a^2*z^8 + 48*a^4*z^8 - 
   9*a^6*z^8 - a^2*z^10 + 11*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 13652] -> -2 - a^2 + 11*a^4 - 7*a^6 - 9*z^2 + 
   4*a^2*z^2 + 32*a^4*z^2 - 17*a^6*z^2 - 12*z^4 + 16*a^2*z^4 + 39*a^4*z^4 - 
   17*a^6*z^4 - 6*z^6 + 17*a^2*z^6 + 25*a^4*z^6 - 7*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13653] -> -4 + 6*a^2 + 3*a^4 - 4*a^6 - 12*z^2 + 
   17*a^2*z^2 + 16*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + 25*a^2*z^4 + 25*a^4*z^4 - 
   13*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13654] -> -4 + 6*a^2 + 3*a^4 - 4*a^6 - 6*z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 - (3*z^4)/a^2 + 
   18*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13655] -> 2/a^16 - 5/a^14 + 2/a^12 - a^(-10) + 3/a^8 + 
   z^2/a^16 - (9*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (6*z^4)/a^12 + (9*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13656] -> 3 - 2/a^2 - 2*a^2 + 6*a^4 - 4*a^6 + 7*z^2 - 
   (5*z^2)/a^2 - a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 + 14*a^4*z^4 - 5*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13657] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (24*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (23*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13658] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + z^2/a^16 - (8*z^2)/a^14 - 
   (6*z^2)/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^14 + 
   (3*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13659] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (24*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (23*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (6*z^6)/a^10 - 
   (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13660] -> -2/a^12 + 7/a^10 - 11/a^8 + 7/a^6 - 
   z^2/a^12 + (12*z^2)/a^10 - (28*z^2)/a^8 + (25*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (24*z^4)/a^8 + (28*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13661] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - (20*z^2)/a^14 + (4*z^2)/a^12 + 
   (24*z^2)/a^10 + z^2/a^8 + z^4/a^16 - (15*z^4)/a^14 + (13*z^4)/a^12 + 
   (34*z^4)/a^10 + (6*z^4)/a^8 - (3*z^6)/a^14 + (10*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 13662] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   z^2/a^16 - (8*z^2)/a^14 - (3*z^2)/a^12 + (14*z^2)/a^10 + (8*z^2)/a^8 - 
   (3*z^4)/a^14 + (3*z^4)/a^12 + (16*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13663] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (5*z^2)/a^14 - (6*z^2)/a^12 + (11*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^4)/a^14 + z^4/a^12 + (14*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13664] -> -4*a^2 + 8*a^4 - 3*a^8 - 14*a^2*z^2 + 
   28*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 - 16*a^2*z^4 + 36*a^4*z^4 + 
   14*a^6*z^4 - 11*a^8*z^4 - 7*a^2*z^6 + 24*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 - a^2*z^8 + 8*a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^4*z^10 + 
   a^6*z^10, Knot[14, Alternating, 13665] -> -1 - a^2 + 6*a^4 - a^6 - 2*a^8 - 
   4*z^2 + a^2*z^2 + 15*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 
   17*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 10*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 13666] -> -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 5*z^2 + 
   5*a^2*z^2 + 12*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 
   15*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 9*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 13667] -> -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 5*a^2*z^2 + 8*a^4*z^2 - 2*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 13668] -> a^(-16) - 2/a^14 - a^(-12) + a^(-10) + 
   a^(-8) + a^(-6) - (3*z^2)/a^14 - z^2/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^4)/a^12 + (5*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 13669] -> 1 - a^(-2) + 3*a^4 - a^6 - a^8 + 
   2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 
   2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 13670] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (7*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 13671] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (3*z^2)/a^14 - (4*z^2)/a^12 + 
   (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + (2*z^4)/a^12 + (7*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 13672] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (7*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 13673] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - z^4 - (6*z^4)/a^8 + 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 13674] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + 
   a^8 - 10*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 8*z^4 + 
   z^4/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*z^6 + 
   4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13675] -> -8 + 4/a^2 + 8*a^2 - 4*a^4 + a^8 - 20*z^2 + 
   (4*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 14*z^4 + 
   z^4/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13676] -> -1 + 2/a^4 - 2/a^2 + 4*a^2 - 3*a^4 + a^8 + 
   z^2/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   4*z^4 - (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*z^6 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 13677] -> 
  2*a^4 - a^8 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 4*a^2*z^4 - 4*a^4*z^4 - 
   4*a^6*z^4 + 4*a^8*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 13678] -> a^2 + a^6 - a^8 + 2*a^2*z^2 + a^8*z^2 + 
   z^4 + a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + z^6 - a^2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13679] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 2*a^6*z^4 + 4*a^8*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 13680] -> 
  2*a^4 - a^8 + z^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13681] -> 3*a^4 - 2*a^6 + z^2 + a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 + a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + z^6 - 
   a^2*z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13682] -> 4*a^4 - 4*a^6 + 2*a^10 - a^12 + 4*a^4*z^2 + 
   2*a^6*z^2 - 10*a^8*z^2 + 9*a^10*z^2 - 2*a^12*z^2 - 3*a^4*z^4 + 
   14*a^6*z^4 - 21*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 - 4*a^4*z^6 + 
   14*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 13683] -> 2*a^2 - a^4 - a^8 + 2*a^10 - 
   a^12 + a^2*z^2 + a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 13684] -> 4*a^6 - 3*a^8 + 3*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 7*a^2*z^4 - 10*a^4*z^4 - 4*a^6*z^4 + 6*a^8*z^4 + 
   5*a^2*z^6 - 12*a^4*z^6 - 11*a^6*z^6 + 5*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 13685] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 + a^2*z^2 + 2*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   7*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13686] -> 2*a^4 - a^8 + 2*z^2 - a^2*z^2 + 3*a^6*z^2 + 
   3*z^4 - 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 13687] -> a^2 + a^6 - a^8 + z^2/a^2 + a^6*z^2 + 
   a^8*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[14, Alternating, 13688] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^4)/a^10 + (18*z^4)/a^6 - (7*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + 
   (14*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 13689] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^8 + (9*z^2)/a^6 - 
   (2*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13690] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 13691] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 13692] -> 1 - 8*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 17*z^4 - (6*z^4)/a^4 + (19*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 12*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13693] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 11*z^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13694] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 13695] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 13696] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13697] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   (10*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13698] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 5*a^2*z^2 - 
   12*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 4*a^2*z^4 - 
   17*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13699] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^10 + (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (4*z^6)/a^10 + (8*z^6)/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 13700] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 - (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^10 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13701] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 13702] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13703] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 13704] -> 1 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13705] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (4*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13706] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13707] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 13708] -> 
  6*a^2 - 10*a^4 + 7*a^6 - 3*a^8 + a^10 + 11*a^2*z^2 - 29*a^4*z^2 + 
   23*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 10*a^2*z^4 - 36*a^4*z^4 + 
   28*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 5*a^2*z^6 - 22*a^4*z^6 + 15*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13709] -> 2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 3*z^2 - 
   5*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   7*a^2*z^4 - 5*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13710] -> 
  4 + a^(-4) - 3/a^2 - a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13711] -> 1 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 13712] -> 3 - a^(-2) - a^2 - 5*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 - (6*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 12*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13713] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13714] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 13715] -> 
  1 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13716] -> -1 + a^(-2) + a^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 13717] -> 
  2 - 2*a^2 + a^4 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   12*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13718] -> a^(-2) - a^2 + a^4 - 7*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13719] -> -1 + a^(-2) + 2*a^4 - a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13720] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 13721] -> 
  1 + z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 2*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13722] -> 4 - a^(-2) - 3*a^2 + a^4 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13723] -> 2 - 2*a^2 + a^4 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 - 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 13724] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13725] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13726] -> 1 + 2*z^2 - z^2/a^4 - a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13727] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   3*z^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13728] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13729] -> 2*a^2 - a^4 - 2*z^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13730] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 17*z^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13731] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (15*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13732] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13733] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (10*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13734] -> a^2 + a^4 - a^6 + z^2 + a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13735] -> 1 - a^2 + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13736] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 13737] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - z^4/a^10 - (5*z^4)/a^8 + (12*z^4)/a^6 - 
   (2*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13738] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13739] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 13740] -> 1 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13741] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 3*z^4 - z^4/a^4 + 2*a^2*z^4 - 2*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 13742] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 13*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 13743] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^4 - 3*a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13744] -> 2 - 2*a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 13745] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 13746] -> -a^(-4) + 2/a^2 - z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 13747] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13748] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 - 
   7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 13749] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 8*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 13*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13750] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 6*z^2 + z^2/a^4 + z^2/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 13751] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 2*a^2*z^2 + 
   2*a^4*z^2 + 6*z^4 - 6*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 + 5*z^6 - 
   11*a^2*z^6 - 11*a^4*z^6 + 5*a^6*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 13752] -> 
  -1 + 3*a^2 - a^6 + z^2 + a^2*z^2 + a^6*z^2 + z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 13753] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13754] -> 
  2*a^2 - a^4 + z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 13755] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13756] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 
   (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^4 - z^4/a^10 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 13757] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - (6*z^2)/a^10 + (13*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (8*z^4)/a^10 + (19*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^6)/a^10 + (14*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 13758] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 13759] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13760] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) - z^2/a^10 + (2*z^2)/a^8 + z^2/a^4 - z^2/a^2 - 
   z^4 - z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 13761] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13762] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 13763] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 13764] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 13765] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13766] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 13767] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   7*z^4 - (4*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (4*z^6)/a^2 + 
   7*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 13768] -> 2 - 2*a^2 + a^4 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   5*z^6 - z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 13769] -> -a^(-4) + 2/a^2 + 2*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13770] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   18*z^2 + (6*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + 
   (7*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13771] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (21*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 13772] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13773] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + 
   2*a^2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 + 
   a^2*z^4 - 16*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[14, Alternating, 13774] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   a^4*z^2 + 12*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - a^2*z^4 - 
   2*a^4*z^4 + 15*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 10*a^6*z^6 - 
   6*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, Knot[14, Alternating, 13775] -> 
  2*a^2 - a^4 - 2*z^2 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + 
   (5*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 9*z^6 + (4*z^6)/a^2 - 9*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 13776] -> 1 + z^2 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   2*z^6 + z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 13777] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 
   (11*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 + (5*z^4)/a^8 - (23*z^4)/a^4 + 
   (10*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13778] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 4*z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (8*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13779] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 23*z^4 + (7*z^4)/a^2 + 
   24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13780] -> -3/a^4 + 5/a^2 - a^2 - z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13781] -> 4 - a^(-4) - 2*a^2 + 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 13782] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 17*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   24*z^4 + (7*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13783] -> -2 + a^2 + 7*a^4 - 5*a^6 - 8*z^2 + 
   8*a^2*z^2 + 19*a^4*z^2 - 11*a^6*z^2 - 10*z^4 + 17*a^2*z^4 + 23*a^4*z^4 - 
   11*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13784] -> 4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (23*z^2)/a^14 + (10*z^2)/a^12 + (20*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + (18*z^4)/a^12 + (33*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13785] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 - 
   z^2/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13786] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - 9*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13787] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 
   z^2 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^4 - z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 13788] -> -2 + 6*a^2 - 3*a^4 + 3*z^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + 16*z^4 - 35*a^2*z^4 + 16*a^4*z^4 + 17*z^6 - 50*a^2*z^6 + 
   17*a^4*z^6 + 7*z^8 - 31*a^2*z^8 + 7*a^4*z^8 + z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[14, Alternating, 13789] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 13*z^4 + 
   (8*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 - 12*a^2*z^6 + 
   5*a^4*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 13790] -> -1 + 4*a^2 - 2*a^4 + 2*z^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - 8*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 + 
   5*z^6 - 12*a^2*z^6 - 13*a^4*z^6 + 5*a^6*z^6 + z^8 - 6*a^2*z^8 - 
   6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 13791] -> 
  2*a^2 - a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^2 - 
   10*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 13792] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (20*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13793] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13794] -> -3 + 8*a^2 - 4*a^4 - 12*z^2 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + (8*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 6*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 13795] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 + (2*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 13796] -> -1 + 3*a^2 - a^6 - 2*z^2 + 
   (2*z^2)/a^2 + 3*a^4*z^2 - 3*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13797] -> 
  a^2 + a^4 - a^6 - 3*z^2 + z^2/a^4 + z^2/a^2 + 3*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   4*a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 13798] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13799] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 8*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 13800] -> 
  a^2 + a^4 - a^6 + z^2/a^2 - a^2*z^2 + a^4*z^2 + a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 13801] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - 3*z^4 - z^4/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + (12*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 13802] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^2 - 2*z^4 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 13803] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   15*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + 
   (6*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13804] -> 1 + 2/a^10 - 6/a^8 + 7/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (20*z^2)/a^6 - 
   (11*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (11*z^4)/a^8 + (19*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13805] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (5*z^2)/a^10 - (9*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - 
   (10*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 13806] -> 
  -7*a^2 + 17*a^4 - 9*a^6 - 29*a^2*z^2 + 69*a^4*z^2 - 30*a^6*z^2 - 
   39*a^2*z^4 + 108*a^4*z^4 - 39*a^6*z^4 - 25*a^2*z^6 + 89*a^4*z^6 - 
   25*a^6*z^6 - 8*a^2*z^8 + 41*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 13807] -> 
  -2 + 9*a^4 - 6*a^6 - 9*z^2 + 6*a^2*z^2 + 27*a^4*z^2 - 15*a^6*z^2 - 10*z^4 + 
   15*a^2*z^4 + 33*a^4*z^4 - 14*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 21*a^4*z^6 - 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13808] -> -4 + 7*a^2 + a^4 - 3*a^6 - 14*z^2 + 
   24*a^2*z^2 + 7*a^4*z^2 - 9*a^6*z^2 - 14*z^4 + 32*a^2*z^4 + 15*a^4*z^4 - 
   10*a^6*z^4 - 6*z^6 + 21*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13809] -> 3 - 2/a^2 - a^2 + 4*a^4 - 3*a^6 + 8*z^2 - 
   (6*z^2)/a^2 + 2*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 10*z^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13810] -> 4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (25*z^2)/a^14 + (15*z^2)/a^12 + (18*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + (22*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13811] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (9*z^2)/a^14 - 
   (3*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (4*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13812] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 9*z^2 + 11*a^2*z^2 + 17*a^4*z^2 - 11*a^6*z^2 - 
   10*z^4 + 18*a^2*z^4 + 23*a^4*z^4 - 11*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 13813] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (22*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + 
   (21*z^4)/a^10 - (18*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13814] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - 
   z^2/a^12 + (11*z^2)/a^10 - (22*z^2)/a^8 + (18*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13815] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13816] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - (21*z^2)/a^14 + (7*z^2)/a^12 + 
   (21*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + (17*z^4)/a^12 + 
   (33*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 13817] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (9*z^2)/a^14 + z^2/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (5*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13818] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   18*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 24*z^4 + 
   (7*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13819] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 7*a^2*z^2 - 
   15*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13820] -> 
  -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 3*z^2 - a^2*z^2 + 14*a^4*z^2 + 2*a^6*z^2 - 
   4*a^8*z^2 - 4*z^4 + 9*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 6*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 13821] -> 
  -1 + 5*a^4 - 2*a^6 - a^8 - 2*z^2 - z^2/a^2 + 5*a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 13822] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - (2*z^2)/a^2 + 
   4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13823] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + z^2 - z^2/a^4 + 4*a^2*z^2 + 2*a^4*z^2 - 
   a^8*z^2 + z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, Alternating, 13824] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 11*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 
   20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13825] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13826] -> 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 13827] -> 
  1 - 2*z^2 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 5*z^4 + 
   z^4/a^4 - 5*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 13828] -> 3/a^16 - 7/a^14 + a^(-12) + 3/a^10 + 
   a^(-8) + (4*z^2)/a^16 - (21*z^2)/a^14 + (9*z^2)/a^12 + (16*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + (18*z^4)/a^12 + (29*z^4)/a^10 + 
   (6*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13829] -> 
  -2 - 2/a^4 + 3/a^2 + 5*a^2 - 3*a^4 - 8*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 11*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13830] -> 4/a^16 - 11/a^14 + 6/a^12 + a^(-10) + 
   a^(-8) + (4*z^2)/a^16 - (25*z^2)/a^14 + (18*z^2)/a^12 + (11*z^2)/a^10 + 
   (5*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + (25*z^4)/a^12 + (23*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13831] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 - 
   z^2/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13832] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + (3*z^2)/a^10 - (12*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - (17*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13833] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   z^2/a^12 - z^2/a^10 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 13834] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (3*z^2)/a^16 - (15*z^2)/a^14 - 
   (2*z^2)/a^12 + (26*z^2)/a^10 + z^2/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (11*z^4)/a^12 + (37*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + 
   (12*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13835] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (6*z^2)/a^14 - 
   (6*z^2)/a^12 + (15*z^2)/a^10 + (8*z^2)/a^8 - (4*z^4)/a^14 + (2*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13836] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 3*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - a^2*z^4 - a^4*z^4 + 10*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + 9*a^6*z^6 - 6*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, 
 Knot[14, Alternating, 13837] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13838] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - z^4/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 13839] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 23*z^4 + (7*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13840] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 13*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 15*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13841] -> -3 - 2/a^8 + 5/a^6 - 8/a^4 + 9/a^2 - 8*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + (26*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (27*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13842] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 8*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (25*z^2)/a^4 + (25*z^2)/a^2 - 8*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (27*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13843] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 20*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13844] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 
   4*a^2*z^4 - 16*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 13845] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 16*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 + 
   (7*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13846] -> 2*a^2 - a^4 - 3*z^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 14*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13847] -> 
  1 + 2/a^10 - 6/a^8 + 8/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (20*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13848] -> -3/a^4 + 4/a^2 + 2*a^2 - 2*a^4 - 4*z^2 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 - 9*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13849] -> 3/a^16 - 6/a^14 - a^(-12) + 4/a^10 + 
   a^(-8) + (4*z^2)/a^16 - (19*z^2)/a^14 + (4*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (14*z^4)/a^12 + (30*z^4)/a^10 + 
   (6*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13850] -> 
  5 - 2/a^4 - 2*a^4 + 4*z^2 - (6*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 13851] -> 
  4/a^16 - 10/a^14 + 4/a^12 + 2/a^10 + a^(-8) + (4*z^2)/a^16 - 
   (23*z^2)/a^14 + (12*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - 
   (17*z^4)/a^14 + (19*z^4)/a^12 + (29*z^4)/a^10 + (6*z^4)/a^8 - 
   (4*z^6)/a^14 + (13*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13852] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 4*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 13853] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13854] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13855] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   3*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 13856] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 
   2*a^6 - 18*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   24*z^4 + (7*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13857] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13858] -> 2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 13859] -> 
  1 - a^4 + 2*a^6 - a^8 - z^2 + 5*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13860] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 13861] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 13862] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 + (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 13863] -> 12 - 7/a^2 - a^2 - 3*a^4 + 35*z^2 - 
   (20*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 43*z^4 - (18*z^4)/a^2 + 
   20*a^2*z^4 - 13*a^4*z^4 + 26*z^6 - (7*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 + 
   8*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 13864] -> 7 - 2/a^4 - a^(-2) - a^2 - 2*a^4 + 19*z^2 - 
   (6*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 21*z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 13865] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 + 
   z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13866] -> a^(-12) - 6/a^8 + 6/a^6 + z^2/a^12 + 
   (5*z^2)/a^10 - (18*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 + 
   (4*z^4)/a^10 - (24*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (15*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13867] -> 
  -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 18*z^2 + (4*z^2)/a^2 + 30*a^2*z^2 - 
   27*a^4*z^2 + 9*a^6*z^2 - 14*z^4 + z^4/a^2 + 33*a^2*z^4 - 35*a^4*z^4 + 
   9*a^6*z^4 - 3*z^6 + 17*a^2*z^6 - 21*a^4*z^6 + 5*a^6*z^6 + 3*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, Alternating, 13868] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + (5*z^4)/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13869] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13870] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 
   10*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13871] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 13872] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + (7*z^4)/a^4 - (8*z^4)/a^2 + 7*a^2*z^4 - 
   12*z^6 + (5*z^6)/a^4 - (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 13873] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 13874] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 13875] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 - z^2 + z^2/a^6 - a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 13876] -> -7 + 4/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   21*z^2 + (6*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 21*z^4 + 
   (4*z^4)/a^2 + 26*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13877] -> 2/a^4 - 2/a^2 + 2*a^2 - 3*a^4 + 
   2*a^6 + 2*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 13878] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (7*z^2)/a^10 + (15*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - (9*z^4)/a^10 + 
   (21*z^4)/a^8 - (3*z^4)/a^4 - (5*z^6)/a^10 + (15*z^6)/a^8 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 13879] -> -2/a^10 + 3/a^8 - a^(-6) + 
   a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13880] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13881] -> 
  -a^(-10) + a^(-8) + a^(-2) - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   z^4 - z^4/a^10 + (4*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 13882] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13883] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 13884] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 13885] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - a^2*z^2 + z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 13886] -> 
  5 - 4/a^2 + 4*a^2 - 4*a^4 + 21*z^2 - (13*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   30*z^4 - (13*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + 20*z^6 - (6*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 13887] -> 6 - a^(-4) - 2/a^2 - 2*a^4 + 
   14*z^2 - (4*z^2)/a^4 + a^2*z^2 - 4*a^4*z^2 + 15*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 13888] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (7*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^2 + (9*z^4)/a^8 - (17*z^4)/a^6 - 
   (11*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - (13*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 13889] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + z^2 + (3*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13890] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13891] -> -2 + a^(-6) - a^(-4) + 2/a^2 - 
   a^2 + 2*a^4 - 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 13892] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 25*z^2 + 
   (8*z^2)/a^2 + 27*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 34*z^4 + 
   (10*z^4)/a^2 + 30*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13893] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   2*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13894] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13895] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 + 
   3*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + z^6 - 10*a^4*z^6 + 
   6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[14, Alternating, 13896] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 - z^2/a^2 + 16*a^2*z^2 - 
   18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 - (2*z^4)/a^2 + 20*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 + z^6 - z^6/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + z^8 + 
   3*a^2*z^8, Knot[14, Alternating, 13897] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   22*z^4 - (6*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13898] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 17*z^2 + (5*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   24*z^4 + (7*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13899] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   15*z^2 + (7*z^2)/a^6 - (22*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (9*z^4)/a^6 - (32*z^4)/a^4 + (31*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 13900] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 4*z^2 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 13901] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (10*z^2)/a^4 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (13*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13902] -> 7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 - a^2*z^2 - 
   a^4*z^2 + 22*a^6*z^2 - 25*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 24*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, 
 Knot[14, Alternating, 13903] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 2*a^2*z^2 - 
   2*a^4*z^2 + 23*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 24*a^6*z^4 - 
   8*a^8*z^4 - a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 13904] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 - a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 13905] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (12*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13906] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 13907] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 
   9*z^2 + 13*a^2*z^2 + 11*a^4*z^2 - 8*a^6*z^2 - 12*z^4 + 24*a^2*z^4 + 
   14*a^4*z^4 - 9*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13908] -> -3 + 6*a^2 - 2*a^6 - 4*z^2 - (2*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^6*z^2 + z^4 - (3*z^4)/a^2 + 16*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13909] -> 
  1 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   12*z^4 - z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 13910] -> -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 13911] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 + (8*z^4)/a^8 - 
   (7*z^4)/a^6 - (24*z^4)/a^4 + (12*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (19*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 13912] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - z^4/a^6 - 
   (15*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13913] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + (8*z^4)/a^8 - 
   (10*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 13914] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + (3*z^2)/a^8 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13915] -> 
  -a^(-8) + a^(-6) + a^(-2) + (5*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + (9*z^4)/a^8 - (16*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 13916] -> -2 + a^(-4) + 2*a^2 - 15*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13917] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13918] -> a^(-6) - a^(-4) + a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13919] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 9*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13920] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (22*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13921] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 13922] -> 
  -4 - 5/a^4 + 10/a^2 - 7*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 
   z^4 + (7*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 + 4*z^6 + (5*z^6)/a^6 - 
   (13*z^6)/a^4 - (4*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[14, Alternating, 13923] -> 
  -3/a^4 + 5/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 13924] -> 
  4 - a^(-4) - 2*a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 + z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 13925] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 13926] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13927] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - (4*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 13928] -> -6*a^2 + 15*a^4 - 8*a^6 - 27*a^2*z^2 + 
   64*a^4*z^2 - 28*a^6*z^2 - 38*a^2*z^4 + 104*a^4*z^4 - 38*a^6*z^4 - 
   25*a^2*z^6 + 88*a^4*z^6 - 25*a^6*z^6 - 8*a^2*z^8 + 41*a^4*z^8 - 
   8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 13929] -> -1 - 2*a^2 + 10*a^4 - 6*a^6 - 7*z^2 + 
   a^2*z^2 + 29*a^4*z^2 - 15*a^6*z^2 - 9*z^4 + 11*a^2*z^4 + 34*a^4*z^4 - 
   14*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13930] -> -2 + a^2 + 7*a^4 - 5*a^6 - 11*z^2 + 
   13*a^2*z^2 + 18*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + 24*a^2*z^4 + 25*a^4*z^4 - 
   13*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13931] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - 
   (3*z^2)/a^2 + 13*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   16*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 13932] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 6*z^2 + 
   4*a^2*z^2 + 20*a^4*z^2 - 11*a^6*z^2 - 7*z^4 + 9*a^2*z^4 + 26*a^4*z^4 - 
   11*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13933] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 10*z^2 + 
   16*a^2*z^2 + 9*a^4*z^2 - 8*a^6*z^2 - 11*z^4 + 22*a^2*z^4 + 17*a^4*z^4 - 
   10*a^6*z^4 - 5*z^6 + 16*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13934] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (3*z^2)/a^16 - (16*z^2)/a^14 + (2*z^2)/a^12 + (23*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (13*z^4)/a^12 + (34*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 13935] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + z^2/a^16 - (10*z^2)/a^14 + 
   (6*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 13936] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 4*z^2 + 3*a^2*z^2 + 9*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 8*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 13937] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - (2*z^2)/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 13938] -> -a^2 + 4*a^4 - a^6 - a^8 + 
   2*z^2 - (2*z^2)/a^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 13939] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 + z^2 - z^2/a^4 + 2*a^2*z^2 + 3*a^4*z^2 - 
   a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 13940] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13941] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   18*a^4*z^4 + 13*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13942] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 4*z^2 + 
   z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 4*z^4 + (3*z^4)/a^8 + z^4/a^6 - 
   (17*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (10*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13943] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + z^4/a^8 - 
   (7*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 13944] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 13945] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - (14*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13946] -> 2/a^10 - 5/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + 
   z^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (16*z^4)/a^6 - 
   (10*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13947] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (3*z^2)/a^12 - (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - 
   (14*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13948] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 + z^2/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 13949] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (10*z^2)/a^14 + (2*z^2)/a^12 + (13*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - (5*z^4)/a^14 + (7*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 13950] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + 
   a^(-6) + a^(-4) - (4*z^2)/a^12 + (9*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (8*z^4)/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13951] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 + z^2/a^10 - 
   (13*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - 
   (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13952] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 13953] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 8*a^2*z^2 + 14*a^4*z^2 - 9*a^6*z^2 - 
   7*z^4 + 11*a^2*z^4 + 22*a^4*z^4 - 10*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 13954] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 13955] -> -1 - a^2 + 8*a^4 - 5*a^6 - 8*z^2 + 
   6*a^2*z^2 + 21*a^4*z^2 - 12*a^6*z^2 - 10*z^4 + 17*a^2*z^4 + 24*a^4*z^4 - 
   11*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 13956] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   16*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13957] -> -3 + 6*a^2 - 2*a^6 - 4*z^2 - 
   (3*z^2)/a^2 + 17*a^2*z^2 - 4*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 18*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 13958] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (24*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 13959] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (7*z^4)/a^10 - (10*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13960] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13961] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13962] -> 
  a^(-6) - a^(-4) + a^2 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 
   a^4*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13963] -> 3 - a^(-2) - 2*a^4 + a^6 - z^2/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13964] -> 
  2 - a^2 - a^4 + a^6 - 2*z^2 + 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13965] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (6*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 13966] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 13967] -> a^(-12) - 6/a^8 + 6/a^6 + (2*z^2)/a^12 + 
   (2*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + 
   z^4/a^10 - (21*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13968] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (3*z^2)/a^12 - (4*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13969] -> 
  1 + 2/a^10 - 5/a^8 + 5/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13970] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 13971] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + z^2/a^10 - 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - 
   (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 13972] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 13973] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 27*z^2 + (9*z^2)/a^2 + 25*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 35*z^4 + (10*z^4)/a^2 + 29*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 13974] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 13975] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 
   23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 7*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 13976] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 
   7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 13977] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   20*a^2*z^2 - 24*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   28*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 - z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 13978] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 13979] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 13980] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 13981] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 13982] -> 
  3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 13983] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 13984] -> 1 + 2/a^10 - 5/a^8 + 6/a^6 - 
   5/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 - 
   (15*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (15*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 13985] -> 3 - 2/a^4 + a^(-2) + a^2 - 2*a^4 - z^2 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 11*z^4 - 
   (5*z^4)/a^4 + (20*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 13986] -> 1 - 3/a^4 + 4/a^2 - a^4 - z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 13987] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - (3*z^2)/a^12 + (5*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + (6*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 13988] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 13989] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 13990] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 13991] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   12*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 13992] -> a^2 - a^4 + 4*a^6 - 4*a^8 + 
   a^10 + z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   z^4 + 2*a^2*z^4 - 15*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + z^6 - 10*a^4*z^6 + 
   6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[14, Alternating, 13993] -> 
  2/a^12 - 3/a^10 - 2/a^8 + 3/a^6 + a^(-4) + (5*z^2)/a^12 - (6*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (6*z^4)/a^10 - 
   (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 13994] -> a^(-12) - 4/a^8 + 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (7*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - 
   (7*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 13995] -> 
  10 - 6/a^2 - 3*a^4 + 33*z^2 - (19*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 
   42*z^4 - (18*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 26*z^6 - (7*z^6)/a^2 + 
   18*a^2*z^6 - 6*a^4*z^6 + 8*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 13996] -> 8 - a^(-4) - 3/a^2 - a^2 - 
   2*a^4 + 18*z^2 - (5*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 20*z^4 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 13997] -> 5 - 2/a^4 - 2*a^4 + 16*z^2 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^4*z^2 + 21*z^4 - (5*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 13998] -> 
  3 - 3/a^4 + 3/a^2 - a^2 - a^4 + 8*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 9*z^4 - z^4/a^6 + z^4/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 13999] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (9*z^2)/a^14 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (4*z^4)/a^14 + (5*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 14000] -> a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + 
   a^(-4) - (2*z^2)/a^12 + z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14001] -> 6 - 2/a^4 - 2*a^2 - a^4 + 14*z^2 - 
   (4*z^2)/a^4 + z^2/a^2 - 4*a^4*z^2 + 15*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 14002] -> 
  a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + a^(-4) - (2*z^2)/a^12 + z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - 
   (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14003] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 4*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[14, Alternating, 14004] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14005] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (22*z^2)/a^4 + (9*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 + (3*z^4)/a^6 - 
   (28*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14006] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 4*z^2 + 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + z^4/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 14007] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 29*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (27*z^2)/a^2 + 9*a^2*z^2 - 36*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (32*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 14008] -> -6 + a^(-8) - 2/a^6 + 2/a^4 + 2/a^2 + 
   4*a^2 - 13*z^2 + z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 14009] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14010] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 14011] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 4*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[14, Alternating, 14012] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 - z^2/a^2 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 14013] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14014] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   19*a^2*z^2 - 7*a^4*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 26*a^2*z^4 - 
   7*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14015] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 + 
   (6*z^2)/a^8 - (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 + 
   z^4/a^8 - (10*z^4)/a^6 - (11*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 14016] -> 
  2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 2*z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 - z^4/a^8 - 
   (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2, Knot[14, Alternating, 14017] -> 
  -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 2*a^4 - 8*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 14018] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 2*a^4 - 4*z^2 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - 2*z^4 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 14019] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 4*z^2 + 
   z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 + 4*z^4 + (3*z^4)/a^8 + 
   z^4/a^6 - (18*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (10*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14020] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + 
   z^4/a^8 - (7*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 14021] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 + (6*z^4)/a^8 - (4*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 + 
   (5*z^6)/a^8 - (11*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14022] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + 2*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14023] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 + (3*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14024] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - z^2 + z^2/a^8 + z^2/a^6 - z^2/a^2 + 
   a^2*z^2 - z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 14025] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 15*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14026] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 4*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14027] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14028] -> 
  2*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14029] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   a^6*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 14030] -> a^(-10) - 3/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 
   a^2 - z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - z^4 + (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 14031] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - (7*z^2)/a^10 + (16*z^2)/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 - (8*z^4)/a^10 + (20*z^4)/a^8 - z^4/a^6 - 
   (2*z^4)/a^4 - (5*z^6)/a^10 + (14*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 14032] -> -2/a^10 + 2/a^8 + a^(-4) - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^2 - (3*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14033] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 2*a^4 - a^6 + 
   a^8 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - (2*z^4)/a^2 + 4*a^2*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 14034] -> -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14035] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4 - z^4/a^10 + 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 14036] -> 
  7 - 4/a^2 - 2*a^4 + 21*z^2 - (12*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 
   29*z^4 - (13*z^4)/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + 20*z^6 - (6*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 14037] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 
   9*z^2 - (3*z^2)/a^4 + 3*a^2*z^2 - 4*a^4*z^2 + 13*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 14038] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 18*z^2 - 
   (4*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 19*z^4 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^4*z^4 + 10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 14039] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 6*z^2 - z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 7*z^4 - z^4/a^6 + (7*z^4)/a^2 - a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 14040] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (5*z^2)/a^14 - (11*z^2)/a^12 + 
   (21*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + (22*z^4)/a^10 + 
   (11*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 14041] -> a^(-14) - 4/a^12 + 7/a^10 - 
   9/a^8 + 6/a^6 - (4*z^2)/a^12 + (14*z^2)/a^10 - (20*z^2)/a^8 + 
   (14*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (9*z^4)/a^10 - (20*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14042] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 2*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 14043] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 2*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 14044] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - (4*z^2)/a^12 + (14*z^2)/a^10 - 
   (20*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (9*z^4)/a^10 - 
   (20*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14045] -> 4/a^8 - 10/a^6 + 7/a^4 + (18*z^2)/a^8 - 
   (41*z^2)/a^6 + (22*z^2)/a^4 + (30*z^4)/a^8 - (78*z^4)/a^6 + (31*z^4)/a^4 + 
   (23*z^6)/a^8 - (76*z^6)/a^6 + (23*z^6)/a^4 + (8*z^8)/a^8 - (39*z^8)/a^6 + 
   (8*z^8)/a^4 + z^10/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[14, Alternating, 14046] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + 
   (10*z^2)/a^8 - (18*z^2)/a^6 + (6*z^2)/a^2 + (12*z^4)/a^8 - (26*z^4)/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^8 - (19*z^6)/a^6 - (12*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 14047] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + 
   (7*z^2)/a^8 - (9*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^8 - 
   (16*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 14048] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + z^2 + (5*z^2)/a^8 - (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   (12*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14049] -> 2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 
   3*z^2 + (5*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14050] -> a^(-8) + 2/a^6 - 8/a^4 + 6/a^2 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 - (25*z^2)/a^4 + (14*z^2)/a^2 + (8*z^4)/a^8 - 
   (8*z^4)/a^6 - (31*z^4)/a^4 + (13*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (20*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 14051] -> 
  2 + a^(-8) + a^(-6) - 4/a^4 + a^(-2) + 4*z^2 + (3*z^2)/a^8 - (10*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14052] -> 
  6/a^6 - 13/a^4 + 8/a^2 + (2*z^2)/a^8 + (11*z^2)/a^6 - (34*z^2)/a^4 + 
   (16*z^2)/a^2 + (5*z^4)/a^8 + (2*z^4)/a^6 - (38*z^4)/a^4 + (14*z^4)/a^2 + 
   (4*z^6)/a^8 - (7*z^6)/a^6 - (22*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14053] -> 4 + a^(-8) - 4/a^2 + 6*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 - (11*z^2)/a^2 + 4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14054] -> 
  -1 + a^(-8) - a^(-4) + 2*a^2 - 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 14055] -> -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 13*a^4*z^4 + 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14056] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14057] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 - z^2 + 
   8*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   23*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14058] -> a^4 + 2*a^6 - 2*a^8 + z^2 + a^2*z^2 - 
   2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14059] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + 
   a^10 + 2*z^2 + 2*a^2*z^2 - 14*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - 2*a^2*z^4 - 17*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + z^6 - 
   3*a^2*z^6 - 9*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14060] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 2*z^2 + 
   z^2/a^2 - 6*a^2*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + z^4/a^2 - 7*a^2*z^4 - 
   2*a^4*z^4 + 5*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 14061] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 - a^2*z^2 + 
   2*a^4*z^2 + 16*a^6*z^2 - 20*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 16*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   9*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 14062] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 
   4*a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 14063] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 22*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - 
   (6*z^4)/a^4 + (21*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14064] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 19*z^2 + 
   (5*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 
   27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14065] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   14*z^2 + (7*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (9*z^4)/a^6 - (32*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 14066] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + z^2 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14067] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14068] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14069] -> 
  1 - a^(-4) + 4*a^2 - 3*a^4 - z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 - 6*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14070] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 4*z^2 - (2*z^2)/a^6 + (4*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 14071] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14072] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 15*z^2 + 
   (5*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14073] -> 2 - a^(-4) + a^(-2) - a^2 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 14074] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   8*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14075] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   24*a^2*z^4 - 7*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 4*a^4*z^6 - 
   3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14076] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14077] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 - (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 14078] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14079] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14080] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 13*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (26*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14081] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + 
   (3*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14082] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 14083] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (20*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14084] -> 
  a^(-6) - a^(-4) + a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14085] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 14086] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 14087] -> -1 + a^(-2) + a^2 - 11*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 14088] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^6 + (4*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 
   4*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[14, Alternating, 14089] -> 
  2*a^2 - a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 14090] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 - a^4*z^2 + 
   18*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14091] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 16*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14092] -> 4*a^6 - 3*a^8 - z^2 + 2*a^4*z^2 + 
   10*a^6*z^2 - 5*a^8*z^2 - z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 2*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 14093] -> -1 + 3*a^2 - a^6 - z^2/a^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 14094] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14095] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - a^4*z^2 + 
   15*a^6*z^2 - 8*a^8*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14096] -> 
  1 + z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 14097] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 2*a^2*z^2 - a^4*z^2 + 19*a^6*z^2 - 
   10*a^8*z^2 - 3*a^2*z^4 + 22*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 14098] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - z^4 + 4*a^4*z^4 + 8*a^6*z^4 - 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 14099] -> 2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 14100] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14101] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14102] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 14103] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14104] -> 7*a^6 - 9*a^8 + 3*a^10 - a^2*z^2 - 
   2*a^4*z^2 + 21*a^6*z^2 - 19*a^8*z^2 + 4*a^10*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   24*a^6*z^4 - 12*a^8*z^4 - a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14105] -> 
  2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 14106] -> -5*a^2 + 13*a^4 - 7*a^6 - 22*a^2*z^2 + 
   53*a^4*z^2 - 23*a^6*z^2 - 34*a^2*z^4 + 91*a^4*z^4 - 34*a^6*z^4 - 
   24*a^2*z^6 + 82*a^4*z^6 - 24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 
   8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 14107] -> -1 - a^2 + 8*a^4 - 5*a^6 - 6*z^2 + 
   2*a^2*z^2 + 23*a^4*z^2 - 12*a^6*z^2 - 9*z^4 + 11*a^2*z^4 + 29*a^4*z^4 - 
   13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14108] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 
   8*a^2*z^2 + 14*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + 15*a^2*z^4 + 20*a^4*z^4 - 
   10*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14109] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 4*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14110] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14111] -> -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + 2*a^2*z^2 + 
   9*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14112] -> 3*a^4 - 2*a^6 - z^2 - z^2/a^2 + 4*a^2*z^2 + 
   2*a^4*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14113] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 4*z^2 + 
   6*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   6*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 9*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14114] -> a^2 + a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14115] -> 1 - a^2 + 2*a^4 - a^6 - z^2/a^4 + 
   z^2/a^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, Alternating, 14116] -> 
  -a^(-4) + 2/a^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 - z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14117] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 - z^2 + 6*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   4*z^6 + 15*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14118] -> 
  a^(-2) - 2*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 4*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14119] -> -a^4 + 6*a^6 - 4*a^8 - 5*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 - 8*a^4*z^4 + 22*a^6*z^4 + 4*a^8*z^4 - 
   5*a^10*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 14120] -> 4*a^6 - 3*a^8 - a^2*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 12*a^6*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14121] -> 
  -a^(-8) + 2/a^4 + (11*z^2)/a^8 - (22*z^2)/a^6 + (15*z^2)/a^4 + 
   (28*z^4)/a^8 - (67*z^4)/a^6 + (29*z^4)/a^4 + (23*z^6)/a^8 - (74*z^6)/a^6 + 
   (23*z^6)/a^4 + (8*z^8)/a^8 - (39*z^8)/a^6 + (8*z^8)/a^4 + z^10/a^8 - 
   (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[14, Alternating, 14122] -> 
  -2/a^6 + 3/a^4 + (8*z^2)/a^8 - (13*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 
   (12*z^4)/a^8 - (24*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^8 - 
   (19*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14123] -> a^(-8) - 4/a^6 + 4/a^4 + (6*z^2)/a^8 - 
   (10*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + (9*z^4)/a^8 - (16*z^4)/a^6 - 
   (10*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - (13*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 14124] -> a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + 
   (5*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 3*z^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14125] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 2*z^2 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 3*z^4 + (4*z^4)/a^8 - 
   (10*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14126] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 14127] -> 
  -a^(-6) + a^(-4) + a^(-2) + (6*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 + (9*z^4)/a^8 - (18*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14128] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 2*z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + 2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14129] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (6*z^2)/a^8 - (10*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + (9*z^4)/a^8 - 
   (18*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 14130] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14131] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 14132] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14133] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14134] -> 4/a^12 - 11/a^10 + 7/a^8 + a^(-6) + 
   (11*z^2)/a^12 - (29*z^2)/a^10 + (16*z^2)/a^8 + (7*z^2)/a^6 + 
   (12*z^4)/a^12 - (30*z^4)/a^10 + (4*z^4)/a^8 + (11*z^4)/a^6 + 
   (6*z^6)/a^12 - (19*z^6)/a^10 - (9*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (7*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14135] -> 3/a^12 - 7/a^10 + 2/a^8 + 3/a^6 + 
   (5*z^2)/a^12 - (10*z^2)/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14136] -> 
  2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + (4*z^2)/a^12 - (7*z^2)/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - (5*z^4)/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14137] -> 2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 14138] -> 2/a^12 - 4/a^10 + a^(-8) + 2/a^4 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 14139] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 11*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14140] -> -1 + 6*a^4 - 4*a^6 - 8*z^2 + 9*a^2*z^2 + 
   14*a^4*z^2 - 9*a^6*z^2 - 10*z^4 + 18*a^2*z^4 + 19*a^4*z^4 - 10*a^6*z^4 - 
   5*z^6 + 15*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14141] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - z^2 - (3*z^2)/a^2 + 10*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 14142] -> -2 + 4*a^2 + a^4 - 2*a^6 - 
   8*z^2 + 13*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + 19*a^2*z^4 + 
   14*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14143] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   13*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14144] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   13*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14145] -> 2 - a^(-2) - a^2 + 3*a^4 - 
   2*a^6 + 3*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14146] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   21*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14147] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14148] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 16*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - (7*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14149] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 14150] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 14151] -> a^2 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 4*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 
   4*a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, Alternating, 14152] -> -a^(-8) + a^(-6) + a^(-2) + (6*z^2)/a^8 - 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + (11*z^4)/a^8 - (17*z^4)/a^6 - 
   (17*z^4)/a^4 + (11*z^4)/a^2 + (6*z^6)/a^8 - (17*z^6)/a^6 - (17*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 14153] -> -a^(-6) + a^(-4) + a^(-2) + 
   2*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14154] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 2*z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14155] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + z^4/a^8 - 
   z^4/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 14156] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - z^4 + z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 14157] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 14158] -> 
  -1 + a^(-2) + a^2 - 11*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 - (6*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   13*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14159] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14160] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14161] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 7*z^4 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 - (8*z^4)/a^2 + 5*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - 
   (12*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 14162] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 14163] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (6*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - 
   (7*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14164] -> a^(-2) - a^2 + a^4 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14165] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 14166] -> 
  -1 - 3/a^4 + 5/a^2 + a^2 - a^4 - 6*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 14167] -> 
  -3 - 2/a^8 + 4/a^6 - 6/a^4 + 8/a^2 - 7*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (20*z^2)/a^4 + (23*z^2)/a^2 - 7*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (25*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14168] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 
   9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + (26*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14169] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 27*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14170] -> 4/a^12 - 10/a^10 + 5/a^8 + 2/a^6 + 
   (10*z^2)/a^12 - (25*z^2)/a^10 + (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (12*z^4)/a^12 - (28*z^4)/a^10 + (12*z^4)/a^6 + (6*z^6)/a^12 - 
   (19*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14171] -> 3/a^12 - 6/a^10 + 4/a^6 + (5*z^2)/a^12 - 
   (10*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (7*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14172] -> 
  2/a^12 - 2/a^10 - 5/a^8 + 6/a^6 + (3*z^2)/a^12 - (2*z^2)/a^10 - 
   (14*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - z^4/a^10 - 
   (18*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14173] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14174] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   8*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14175] -> 3/a^12 - 7/a^10 + 3/a^8 + 
   a^(-6) + a^(-4) + (5*z^2)/a^12 - (11*z^2)/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (7*z^4)/a^10 - (7*z^4)/a^8 + 
   (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14176] -> 2/a^12 - 3/a^10 - 2/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 14177] -> 2/a^12 - 3/a^10 - 2/a^8 + 3/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - z^4/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14178] -> 
  -2 + 5*a^2 - a^4 - a^6 - 9*z^2 + 17*a^2*z^2 - 4*a^6*z^2 - 10*z^4 + 
   23*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + 16*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14179] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 
   8*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 14180] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 22*z^2 + (7*z^2)/a^2 + 20*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 28*z^4 + (8*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 14181] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (16*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14182] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 
   13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 18*a^4*z^4 + 
   13*a^6*z^4 - 3*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14183] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14184] -> 1 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 14185] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14186] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14187] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   11*z^2 - z^2/a^4 + (2*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 25*a^2*z^4 - 7*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14188] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14189] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 17*a^4*z^4 + 
   13*a^6*z^4 - 3*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14190] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (4*z^2)/a^8 - (10*z^2)/a^4 + (8*z^2)/a^2 + (8*z^4)/a^8 - (11*z^4)/a^6 - 
   (17*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - (14*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 14191] -> -a^(-4) + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14192] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14193] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 17*a^4*z^4 + 13*a^6*z^4 - 3*a^8*z^4 - 
   z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 14194] -> 
  2 - a^(-2) + a^2 - a^4 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14195] -> 2*a^2 - a^4 - 6*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 13*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 14196] -> 
  1 - a^4 + 2*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14197] -> 
  2*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   20*z^4 - (6*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14198] -> 1 + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14199] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 14200] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 14201] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 14202] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 14203] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   16*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 24*a^2*z^4 - 
   23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14204] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 
   4*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 14205] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14206] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 8*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14207] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14208] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + 
   (7*z^2)/a^2 + 11*a^2*z^2 - a^4*z^2 - 21*z^4 + (9*z^4)/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 14209] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 14210] -> 
  4/a^12 - 9/a^10 + 3/a^8 + 3/a^6 + (11*z^2)/a^12 - (26*z^2)/a^10 + 
   (8*z^2)/a^8 + (10*z^2)/a^6 + (12*z^4)/a^12 - (29*z^4)/a^10 - z^4/a^8 + 
   (12*z^4)/a^6 + (6*z^6)/a^12 - (19*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (7*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14211] -> 3/a^12 - 6/a^10 + a^(-8) + 2/a^6 + a^(-4) + 
   (5*z^2)/a^12 - (9*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14212] -> 
  2/a^12 - 2/a^10 - 4/a^8 + 4/a^6 + a^(-4) + (3*z^2)/a^12 - z^2/a^10 - 
   (14*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14213] -> 2/a^12 - 3/a^10 - a^(-8) + a^(-6) + 2/a^4 + 
   (4*z^2)/a^12 - (7*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14214] -> 
  2/a^12 - 4/a^10 + 2/a^8 - a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 14215] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (13*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (20*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 14216] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - 
   a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14217] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 14218] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14219] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14220] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 
   26*z^2 + (9*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 35*z^4 + 
   (10*z^4)/a^2 + 28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14221] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 6*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 14222] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   12*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14223] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 
   14*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14224] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14225] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (4*z^2)/a^8 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 + (8*z^4)/a^8 - (11*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14226] -> 1 + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 - 
   z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14227] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^4 + z^2/a^2 + 
   2*z^4 + (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14228] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   13*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14229] -> 1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14230] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14231] -> a^(-2) - a^2 + a^4 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 14232] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 14233] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 18*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - (6*z^4)/a^4 + (22*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14234] -> 
  1 - a^2 + 2*a^4 - a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14235] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14236] -> 1 + a^2 - 2*a^4 + a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14237] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14238] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 4*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14239] -> a^(-4) - a^(-2) + a^2 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 14240] -> 8 - 5/a^2 + a^2 - 3*a^4 + 29*z^2 - 
   (17*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 39*z^4 - (17*z^4)/a^2 + 
   17*a^2*z^4 - 12*a^4*z^4 + 25*z^6 - (7*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 + 
   8*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 14241] -> 6 - a^(-4) - 2/a^2 - 2*a^4 + 16*z^2 - 
   (5*z^2)/a^4 + a^2*z^2 - 5*a^4*z^2 + 19*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 14242] -> 
  4 - 2/a^4 + a^(-2) - a^2 - a^4 + 11*z^2 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 15*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 14243] -> 
  4/a^12 - 8/a^10 + a^(-8) + 4/a^6 + (14*z^2)/a^12 - (28*z^2)/a^10 + 
   (2*z^2)/a^8 + (14*z^2)/a^6 + (16*z^4)/a^12 - (36*z^4)/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 + (7*z^6)/a^12 - (24*z^6)/a^10 - (15*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^12 - (8*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14244] -> 3/a^12 - 5/a^10 - a^(-8) + 3/a^6 + a^(-4) + 
   (7*z^2)/a^12 - (10*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^4)/a^12 - (9*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14245] -> 
  2/a^12 - 2/a^10 - 3/a^8 + 2/a^6 + 2/a^4 + (5*z^2)/a^12 - (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - (6*z^4)/a^10 - 
   (14*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14246] -> 2/a^12 - 2/a^10 - 3/a^8 + 2/a^6 + 2/a^4 + 
   (3*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 14247] -> 3 - a^(-6) + a^(-4) - a^(-2) - a^4 + 5*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 14248] -> 
  2/a^12 - 3/a^10 + a^(-4) + a^(-2) + (3*z^2)/a^12 - (4*z^2)/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 14249] -> 
  1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14250] -> 
  4 - 2/a^4 + a^(-2) - a^2 - a^4 + 7*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 - z^4/a^6 + z^4/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 14251] -> 1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14252] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + 
   z^2/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (29*z^4)/a^4 + (6*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (15*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14253] -> -4 - 5/a^4 + 10/a^2 - 11*z^2 - z^2/a^6 - 
   (9*z^2)/a^4 + (26*z^2)/a^2 - 7*z^4 - (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (28*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (15*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 14254] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 14255] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   27*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (25*z^2)/a^2 + 8*a^2*z^2 - 33*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (31*z^4)/a^2 + 9*a^2*z^4 - 21*z^6 - (3*z^6)/a^4 + 
   (16*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 14256] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (27*z^2)/a^4 + (26*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (31*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14257] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 14258] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + z^2 + z^2/a^10 + (6*z^2)/a^8 - 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + z^4 + z^4/a^10 + z^4/a^8 - 
   (10*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 14259] -> 
  -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 14260] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 22*z^2 - z^2/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 + 
   a^4*z^2 - 28*z^4 + (3*z^4)/a^4 + (7*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   16*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 14261] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 9*z^2 + (5*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 + a^4*z^2 - 9*z^4 + 
   z^4/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 4*z^6 - 
   z^6/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 14262] -> 
  a^(-10) - 2/a^8 + 5/a^6 - 9/a^4 + 6/a^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (21*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (28*z^4)/a^6 - (35*z^4)/a^4 + (9*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (21*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 14263] -> 2 + a^(-10) - 2/a^8 + 4/a^6 - 
   5/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14264] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (18*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 14265] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + 
   (15*z^2)/a^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14266] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14267] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 5*a^2*z^2 - 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 14268] -> 
  -11 - 4/a^4 + 12/a^2 + 4*a^2 - 29*z^2 + (17*z^2)/a^2 + 11*a^2*z^2 + 
   a^4*z^2 - 31*z^4 + (3*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   16*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 14269] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 
   2*a^2 - 6*z^2 + z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - 9*z^4 + z^4/a^6 + z^4/a^4 - (10*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 
   4*z^6 - z^6/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 14270] -> 
  a^(-10) - 3/a^8 + 9/a^6 - 14/a^4 + 8/a^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + 
   (27*z^2)/a^6 - (34*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (31*z^4)/a^6 - (38*z^4)/a^4 + (10*z^4)/a^2 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (22*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 14271] -> 4 + a^(-10) - 2/a^8 + 3/a^6 - 
   a^(-4) - 4/a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14272] -> 
  -2 - a^(-8) + 2/a^6 + 2*a^2 - 4*z^2 + z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4, Knot[14, Alternating, 14273] -> 
  -1 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 + 2*a^2 - 4*z^2 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   z^4/a^4 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, Alternating, 14274] -> -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 
   11*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 6*z^4 + z^4/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14275] -> -3 + a^(-8) - a^(-6) + 2/a^2 + a^2 + a^4 - 
   6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 14276] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 7*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 8*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 4*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 14277] -> 
  a^2 + a^6 - a^8 - z^2 - z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 - 
   z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 14278] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   z^2 + 6*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 3*z^4 + 3*a^2*z^4 - 2*a^8*z^4 - 
   z^6 + 3*a^2*z^6 + 6*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 14279] -> 1 + a^2 - 2*a^4 + a^6 - a^4*z^2 - 
   z^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 14280] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 12*z^2 + z^2/a^4 + z^2/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[14, Alternating, 14281] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (15*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 14282] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - z^6/a^2 - 2*a^2*z^6, Knot[14, Alternating, 14283] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 7*z^2 + z^2/a^4 + 5*a^2*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, Alternating, 14284] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + (6*z^2)/a^8 - z^2/a^6 - (16*z^2)/a^4 + 
   (11*z^2)/a^2 + (11*z^4)/a^8 - (16*z^4)/a^6 - (23*z^4)/a^4 + (12*z^4)/a^2 + 
   (6*z^6)/a^8 - (17*z^6)/a^6 - (18*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14285] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (4*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + z^2/a^2 + 3*z^4 + (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14286] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14287] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + z^4/a^8 - 
   z^4/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 14288] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 14289] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 14290] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 14291] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   5*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14292] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 14293] -> 2*a^6 - a^12 + a^4*z^2 + 
   9*a^6*z^2 - 6*a^8*z^2 + 8*a^10*z^2 - 3*a^12*z^2 + 3*a^4*z^4 + 7*a^6*z^4 - 
   14*a^8*z^4 + 9*a^10*z^4 + a^12*z^4 + a^4*z^6 - a^6*z^6 - 12*a^8*z^6 + 
   a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[14, Alternating, 14294] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 + a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[14, Alternating, 14295] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 - 
   z^2/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 + 2*z^4 + 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (14*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14296] -> 9 - 4/a^2 - 4*a^2 + 23*z^2 - (11*z^2)/a^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 28*z^4 - (12*z^4)/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + 
   19*z^6 - (6*z^6)/a^2 + 11*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 14297] -> 
  4 - a^(-4) - 2*a^2 + 9*z^2 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 14298] -> -1 - 2/a^4 + 4/a^2 + 2*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 8*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 14299] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + z^2 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + z^4 + z^4/a^10 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 14300] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   a^4*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 
   2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 14301] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14302] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 - z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 14303] -> 
  -4 - 5/a^4 + 10/a^2 - 9*z^2 - z^2/a^6 - (11*z^2)/a^4 + (28*z^2)/a^2 - 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 - (5*z^4)/a^4 + (31*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (16*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[14, Alternating, 14304] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 14305] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14306] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14307] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (15*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^4)/a^12 + (16*z^4)/a^10 - (10*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (5*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14308] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - 
   a^(-6) + 2/a^4 - (4*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^6 + (4*z^2)/a^4 + 
   (5*z^4)/a^10 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 14309] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 19*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 
   15*a^4*z^2 + 2*a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 29*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 14310] -> 
  1 + 2/a^10 - 6/a^8 + 6/a^6 - 2/a^4 + 2*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + 
   (17*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (16*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14311] -> 
  2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 2/a^2 + (5*z^2)/a^10 - (20*z^2)/a^8 + 
   (28*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (34*z^4)/a^6 - (21*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 14312] -> 
  1 + 2/a^10 - 6/a^8 + 5/a^6 - a^(-2) + 2*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14313] -> -11 - a^(-4) + 7/a^2 + 7*a^2 - a^4 - 
   31*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 33*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14314] -> -7 - 3/a^4 + 7/a^2 + 7*a^2 - 3*a^4 - 
   23*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 27*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14315] -> -4 + 9*a^2 - 3*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - a^6*z^2 - 2*z^4 - (3*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - z^6/a^2 + 14*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14316] -> 3/a^12 - 7/a^10 + 2/a^8 + 3/a^6 + 
   (10*z^2)/a^12 - (23*z^2)/a^10 + (7*z^2)/a^8 + (10*z^2)/a^6 + 
   (12*z^4)/a^12 - (28*z^4)/a^10 - z^4/a^8 + (12*z^4)/a^6 + (6*z^6)/a^12 - 
   (19*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14317] -> 2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + 
   (5*z^2)/a^12 - (8*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14318] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (3*z^2)/a^12 - (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (11*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14319] -> a^(-12) - 2/a^10 + a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + (2*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 14320] -> 2 - a^(-4) + 2*a^2 - 2*a^4 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 6*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14321] -> -2/a^4 + 3/a^2 + a^2 - a^4 + z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 14322] -> 
  a^(-12) - 5/a^8 + 4/a^6 + a^(-4) + (3*z^2)/a^12 - z^2/a^10 - (12*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (17*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (12*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14323] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14324] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14325] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 
   2*a^4 - 10*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 
   12*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14326] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 5*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 14327] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 29*z^2 - (4*z^2)/a^4 + 
   (17*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 32*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 20*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14328] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14329] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 
   a^2*z^2 - 3*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 21*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   12*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14330] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (7*z^4)/a^8 - 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 14331] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 + 
   2*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14332] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14333] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^8 - z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4 + 
   z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 14334] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14335] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - 
   2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 14336] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 14*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 23*z^4 + (7*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14337] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 12*z^2 + 
   20*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 - 13*z^4 + 29*a^2*z^4 + 13*a^4*z^4 - 
   9*a^6*z^4 - 6*z^6 + 20*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14338] -> -4 + 8*a^2 - a^4 - 2*a^6 - 3*z^2 - 
   (3*z^2)/a^2 + 17*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   17*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14339] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (10*z^2)/a^12 - (24*z^2)/a^10 + (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (12*z^4)/a^12 - (28*z^4)/a^10 + (12*z^4)/a^6 + (6*z^6)/a^12 - 
   (19*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14340] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (5*z^2)/a^12 - (8*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14341] -> 
  2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + (4*z^2)/a^12 - (6*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (11*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14342] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 - z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 14343] -> a^(-12) - 6/a^8 + 6/a^6 + (3*z^2)/a^12 - 
   z^2/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - 
   z^4/a^10 - (18*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14344] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 + z^2/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 + z^4/a^10 - (19*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14345] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 6*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14346] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 14347] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14348] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^4*z^4 - a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 14349] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14350] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 4*z^4 - (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 - 
   a^6*z^4 + z^6 - z^6/a^2 + 12*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 14351] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 
   3*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 14352] -> -2*a^4 + 8*a^6 - 5*a^8 - 9*a^4*z^2 + 
   26*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 - 12*a^4*z^4 + 31*a^6*z^4 + 
   7*a^8*z^4 - 8*a^10*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 12*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 14353] -> -a^4 + 6*a^6 - 4*a^8 - 
   2*a^2*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   16*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14354] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + (8*z^4)/a^8 - 
   (10*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 14355] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14356] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14357] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^8 + z^2/a^6 - (4*z^2)/a^2 + a^2*z^2 + z^4/a^8 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 14358] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14359] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 2*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14360] -> 
  2*a^4 - a^8 - 2*z^2 + 4*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   10*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   10*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 14361] -> a^2 + a^6 - a^8 + z^2 - 
   z^2/a^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14362] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   10*a^2*z^4 - 11*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   10*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 14363] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   3*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14364] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   2*z^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + z^6 - z^6/a^2 + 
   11*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14365] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 14366] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 14367] -> 3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + 
   (8*z^2)/a^12 - (22*z^2)/a^10 + (13*z^2)/a^8 + (7*z^2)/a^6 + 
   (11*z^4)/a^12 - (25*z^4)/a^10 + (3*z^4)/a^8 + (11*z^4)/a^6 + 
   (6*z^6)/a^12 - (18*z^6)/a^10 - (9*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (7*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14368] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (4*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14369] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (3*z^2)/a^12 - (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14370] -> a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 14371] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 14372] -> 
  -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 3*a^2*z^2 + 3*a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 19*a^6*z^4 - 3*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14373] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 15*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 14374] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14375] -> a^4 + 4*a^6 - 6*a^8 + 2*a^10 - a^4*z^2 + 
   14*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 - a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14376] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 14377] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 4*a^2*z^2 + 
   6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 
   14*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 9*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14378] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 - a^2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 14379] -> -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14380] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 14381] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14382] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 11*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 16*a^6*z^4 - 10*a^8*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14383] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 14384] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + (7*z^4)/a^8 - 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 14385] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14386] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   3*z^4 + (2*z^4)/a^8 - (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14387] -> 3*a^6 - a^8 - a^10 - 3*a^4*z^2 + 
   10*a^6*z^2 + 6*a^8*z^2 - 6*a^10*z^2 - 7*a^4*z^4 + 15*a^6*z^4 + 
   14*a^8*z^4 - 8*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 13*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 14388] -> a^4 + a^6 - a^10 - a^2*z^2 + 
   a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 
   10*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14389] -> -a^(-4) + 2/a^2 + z^2/a^8 - z^2/a^4 + 
   a^2*z^2 - z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 14390] -> 
  2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14391] -> 
  a^2 + a^8 - a^10 - z^2 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 
   a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 14392] -> 
  4*a^6 - 3*a^8 - 4*a^4*z^2 + 14*a^6*z^2 - 4*a^10*z^2 - 8*a^4*z^4 + 
   18*a^6*z^4 + 11*a^8*z^4 - 8*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 
   13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 14393] -> 
  2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 7*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14394] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 11*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14395] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 - z^2 + 5*a^4*z^2 + a^8*z^2 - a^10*z^2 - z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 14396] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 8*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14397] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14398] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 11*a^6*z^4 - 
   2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14399] -> 
  2*a^4 - a^8 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14400] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 14401] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 14402] -> 5*a^6 - 5*a^8 + a^10 - 3*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - 3*a^10*z^2 - 7*a^4*z^4 + 16*a^6*z^4 + 9*a^8*z^4 - 
   7*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 12*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 14403] -> 2*a^4 - a^8 - a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 9*a^6*z^4 + 3*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14404] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 - 2*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14405] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - z^2 + 2*a^2*z^2 + 2*a^8*z^2 - a^10*z^2 - 
   z^4 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 14406] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^4 + 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14407] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 7*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + a^6*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 - a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14408] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 + a^2*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 14409] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14410] -> 3 + a^(-6) - 2/a^4 - a^2 + 
   3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14411] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14412] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14413] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14414] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + z^4/a^8 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (11*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14415] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 5*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14416] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14417] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (21*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 14418] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   2*z^2 + (7*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   z^4/a^6 - (11*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14419] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14420] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 
   20*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 24*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14421] -> -3 + 7*a^2 - 2*a^4 - a^6 - 6*z^2 - 
   (2*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 - 2*z^4 - (3*z^4)/a^2 + 
   25*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - z^6/a^2 + 14*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14422] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14423] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 
   z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 6*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14424] -> 2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   a^4 + 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 14425] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14426] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 20*z^2 + 
   z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 + 2*a^4*z^4 - 15*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 14427] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 9*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^4 + 
   z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^2 - 4*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 14428] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   9*z^2 + z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 14429] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 
   3*z^2 + 9*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   11*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 14430] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - 
   a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 - 2*a^2*z^4 - a^4*z^4 + 18*a^6*z^4 - 
   5*a^8*z^4 - a^10*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14431] -> 
  1 - z^2 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14432] -> 2 - 2*a^2 + 2*a^6 - a^8 - z^2 + a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 10*a^4*z^4 + 
   11*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14433] -> a^(-2) - a^2 + 2*a^6 - a^8 + z^2 - z^2/a^2 - 
   3*a^2*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14434] -> 
  2 - a^2 - a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14435] -> 
  a^(-2) - a^4 + a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14436] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 5*z^2 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 - 2*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14437] -> 2 - 2/a^4 + 2/a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 14438] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 3*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 - 7*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14439] -> 
  4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 7*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 14440] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + (3*z^2)/a^12 - (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - 
   (15*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14441] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14442] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14443] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 14444] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   z^2 + 5*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + 
   3*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 + a^8*z^4 + z^6 - a^2*z^6 - 
   12*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 14445] -> 2*a^2 - a^4 - z^2/a^4 + 5*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14446] -> 
  -3 + 2/a^2 + 2*a^2 - 16*z^2 + (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 14447] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14448] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 2*z^2 + 6*a^2*z^2 - 20*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 + 3*z^4 + 2*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 + 
   a^8*z^4 + z^6 - 2*a^2*z^6 - 14*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[14, Alternating, 14449] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 
   2*z^2 + z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 + z^4/a^2 - 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - 
   a^6*z^6, Knot[14, Alternating, 14450] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 
   9*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 9*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14451] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14452] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 - z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 
   3*z^4 + 8*a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   9*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 14453] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - 
   a^8 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14454] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + (10*z^2)/a^6 - (14*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + (5*z^4)/a^6 - (21*z^4)/a^4 + z^6 + 
   z^6/a^8 - z^6/a^6 - (13*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 14455] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 7*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14456] -> 
  a^(-2) - a^2 + a^4 - z^2 + z^2/a^6 - z^2/a^4 - 2*a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14457] -> 
  2 - a^2 - a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14458] -> 
  a^(-2) - a^4 + a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14459] -> a^(-2) - a^4 + a^6 - 2*z^2 + z^2/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14460] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14461] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14462] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   5*z^2 - (5*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 - 8*z^4 - (8*z^4)/a^6 + 
   (13*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 14463] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14464] -> 2*a^6 - a^12 + a^4*z^2 + 10*a^6*z^2 - 
   7*a^8*z^2 + 7*a^10*z^2 - 2*a^12*z^2 + 3*a^4*z^4 + 8*a^6*z^4 - 16*a^8*z^4 + 
   7*a^10*z^4 + 2*a^12*z^4 + a^4*z^6 - a^6*z^6 - 13*a^8*z^6 - a^10*z^6 + 
   a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[14, Alternating, 14465] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   3*a^10*z^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 2*a^10*z^4 + 
   a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[14, Alternating, 14466] -> -1 + 4*a^2 - 2*a^4 + 4*z^2 - (5*z^2)/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + 13*z^4 - (8*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 14467] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 7*z^2 - z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 3*a^4*z^4 + 
   7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 14468] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 10*a^10*z^2 - 2*a^12*z^2 + 
   3*a^4*z^4 + 6*a^6*z^4 - 17*a^8*z^4 + 8*a^10*z^4 + a^12*z^4 + a^4*z^6 - 
   a^6*z^6 - 12*a^8*z^6 + a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[14, Alternating, 14469] -> a^4 + a^8 - a^12 + a^2*z^2 + 4*a^4*z^2 + 
   3*a^10*z^2 + a^2*z^4 + a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 + 
   a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[14, Alternating, 14470] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 16*z^2 + 
   (7*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 20*z^4 + (5*z^4)/a^2 + 
   14*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14471] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14472] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 4*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14473] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   22*z^2 + (8*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 23*z^4 + 
   (5*z^4)/a^2 + 21*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14474] -> a^(-6) - a^(-4) + a^(-2) - a^2 + 
   a^6 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 14475] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 
   16*a^2*z^2 - 21*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   25*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14476] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14477] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 3*a^2*z^2 + 15*a^6*z^2 - 8*a^8*z^2 - 
   10*a^2*z^4 + 13*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 - 6*a^2*z^6 + 
   16*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 - a^2*z^8 + 7*a^4*z^8 + 7*a^6*z^8 - 
   a^8*z^8 + a^4*z^10 + a^6*z^10, Knot[14, Alternating, 14478] -> 
  1 - a^2 + 3*a^6 - 2*a^8 - z^2 - 3*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 - 3*z^4 + 12*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 3*a^2*z^6 + 
   9*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 14479] -> 2 - 4*a^2 + 4*a^4 - a^8 - z^2 - 4*a^2*z^2 + 
   8*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + a^2*z^4 + 11*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 14480] -> 
  2 - 4*a^2 + 4*a^4 - a^8 - z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - z^4/a^2 + 4*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 14481] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - z^2 - z^2/a^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 14482] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   13*z^4 + (8*z^4)/a^4 - (12*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 14483] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 14484] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   3*a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 14485] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - 2*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 14486] -> 
  -3 - 2/a^8 + 4/a^6 - 6/a^4 + 8/a^2 - 7*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (15*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (19*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 14487] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 
   5*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - 11*a^2*z^4 - 11*a^4*z^4 + 
   7*a^6*z^4 + 5*z^6 - 12*a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 + z^8 - 
   6*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 14488] -> a^(-2) - a^4 + a^6 + z^2/a^2 - 4*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + (2*z^4)/a^2 - 8*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   2*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14489] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   6*z^2 + (3*z^2)/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14490] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 14491] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 
   a^2*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14492] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14493] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14494] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 - (4*z^2)/a^12 + (28*z^2)/a^10 + z^4/a^16 - 
   (16*z^4)/a^14 + (12*z^4)/a^12 + (39*z^4)/a^10 + (3*z^4)/a^8 - 
   (4*z^6)/a^14 + (13*z^6)/a^12 + (22*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 14495] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14496] -> 
  3/a^14 - 11/a^12 + 9/a^10 + (3*z^2)/a^16 - (9*z^2)/a^14 - (14*z^2)/a^12 + 
   (32*z^2)/a^10 + z^4/a^16 - (14*z^4)/a^14 + (5*z^4)/a^12 + (39*z^4)/a^10 + 
   (4*z^4)/a^8 - (4*z^6)/a^14 + (11*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 14497] -> 
  a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 4/a^8 + z^2/a^16 - (7*z^2)/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (12*z^2)/a^8 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (11*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14498] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-10) - a^(-8) + 2/a^6 - (4*z^2)/a^14 + 
   (2*z^2)/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^12 + 
   (5*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 14499] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   23*z^2 + z^2/a^4 + (5*z^2)/a^2 + 27*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 
   27*z^4 + (3*z^4)/a^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 15*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 3*z^8 - z^8/a^2, 
 Knot[14, Alternating, 14500] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 10*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + 
   z^4/a^4 + z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - 4*z^6 - z^6/a^2 - 3*a^2*z^6, 
 Knot[14, Alternating, 14501] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 27*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - 
   (7*z^4)/a^4 + (25*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14502] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + z^2 + 
   4*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 + 
   2*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 
   12*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[14, Alternating, 14503] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14504] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 
   18*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + z^6 - z^6/a^2 + 12*a^2*z^6 - 
   6*a^4*z^6 + z^8 + 3*a^2*z^8, Knot[14, Alternating, 14505] -> 
  a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 2*a^12 - a^4*z^2 + 18*a^6*z^2 - 22*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 22*a^6*z^4 - 21*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^4*z^8 + 
   3*a^6*z^8, Knot[14, Alternating, 14506] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - 
   a^12 - a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - z^4 - 
   2*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   3*a^6*z^6, Knot[14, Alternating, 14507] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + 
   a^10 + 2*z^2 + 5*a^2*z^2 - 21*a^4*z^2 + 24*a^6*z^2 - 9*a^8*z^2 + 
   a^10*z^2 + 3*z^4 + a^2*z^4 - 26*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 + z^6 - 
   2*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[14, Alternating, 14508] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + z^4/a^2 - 
   6*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6, 
 Knot[14, Alternating, 14509] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   4*z^2 - z^2/a^2 + 20*a^2*z^2 - 24*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 3*z^4 - 
   (2*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 + z^6 - z^6/a^2 + 
   13*a^2*z^6 - 6*a^4*z^6 + z^8 + 3*a^2*z^8, Knot[14, Alternating, 14510] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + z^4/a^4 + (2*z^4)/a^2 + 6*a^4*z^4 - 
   4*z^6 - z^6/a^2 - 3*a^2*z^6, Knot[14, Alternating, 14511] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14512] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + a^4*z^2 + 14*a^6*z^2 - 19*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 18*a^6*z^4 - 20*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^4*z^8 + 
   3*a^6*z^8, Knot[14, Alternating, 14513] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6, 
 Knot[14, Alternating, 14514] -> 1 + a^4 - 3*a^6 + 3*a^8 - a^10 - 2*z^2 + 
   4*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + z^6 + 4*a^2*z^6 + 3*a^4*z^6, 
 Knot[14, Alternating, 14515] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + (7*z^4)/a^12 - 
   (10*z^4)/a^10 - (6*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14516] -> -2/a^10 + 2/a^8 + a^(-4) + (2*z^2)/a^12 - 
   (3*z^2)/a^10 + z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14517] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + z^2/a^14 - (5*z^2)/a^12 + 
   (9*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^12 + (3*z^4)/a^10 - 
   (14*z^4)/a^8 + (13*z^4)/a^6 + (4*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 14518] -> 
  a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 + (3*z^2)/a^12 - (10*z^2)/a^10 + 
   (13*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (8*z^4)/a^10 + 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14519] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-6) - a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, Alternating, 14520] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 - 4*z^2 - (7*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 - 12*z^4 - (5*z^4)/a^4 + (20*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - z^6/a^4 + (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14521] -> 
  -1 - 3/a^4 + 5/a^2 + a^2 - a^4 - 2*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 14522] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 7*z^2 + 12*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - 
   9*z^4 + 19*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[14, Alternating, 14523] -> 3 - a^(-2) - 4*a^2 + 6*a^4 - 
   3*a^6 + 6*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14524] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14525] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 7*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 14526] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - z^4/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14527] -> 2*a^4 - a^6 + a^8 - a^10 + a^4*z^2 + 
   a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 - 4*a^4*z^4 + 7*a^6*z^4 + 12*a^8*z^4 - 
   6*a^10*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 14528] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 
   3*a^4*z^2 - 5*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14529] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14530] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14531] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14532] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14533] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 8*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14534] -> -1 - a^2 + 8*a^4 - 5*a^6 - 6*z^2 + 
   4*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 - 9*z^4 + 14*a^2*z^4 + 21*a^4*z^4 - 
   10*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14535] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   12*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14536] -> -3 - 3/a^4 + 6/a^2 + 2*a^2 - a^4 - 8*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 14537] -> 
  -3 - 2/a^8 + 5/a^6 - 8/a^4 + 9/a^2 - 7*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (21*z^2)/a^4 + (23*z^2)/a^2 - 7*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (25*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14538] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 
   10*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + 16*a^2*z^4 + 16*a^4*z^4 - 
   9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14539] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 4*z^2 - 
   (3*z^2)/a^2 + 8*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 14540] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 + (4*z^2)/a^10 - (19*z^2)/a^8 + 
   (16*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + z^4/a^10 - (22*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14541] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14542] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - z^2/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - (19*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14543] -> 
  1 + 2/a^10 - 6/a^8 + 7/a^6 - 4/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (19*z^2)/a^6 - (12*z^2)/a^4 + z^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (18*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14544] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 14545] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14546] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (22*z^2)/a^4 + (25*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14547] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14548] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14549] -> -1 + a^(-2) + a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14550] -> 1 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14551] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + z^2/a^2 + a^4*z^2 - a^6*z^2 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^4*z^4 - a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 14552] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + a^2*z^2 - 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 14553] -> 
  a^4 + 2*a^8 - 2*a^10 + a^6*z^2 + 14*a^8*z^2 - 8*a^10*z^2 - 4*a^4*z^4 + 
   5*a^6*z^4 + 21*a^8*z^4 - 9*a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 15*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 14554] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - 
   a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   6*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14555] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2/a^2 + 
   8*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14556] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14557] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^4*z^2 - 
   a^6*z^2 + 13*a^8*z^2 - 7*a^10*z^2 - 4*a^4*z^4 + 4*a^6*z^4 + 20*a^8*z^4 - 
   9*a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 15*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 14558] -> a^2 - a^6 + 3*a^8 - 2*a^10 + a^4*z^2 + 
   8*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14559] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 + (9*z^2)/a^6 - (14*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14560] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 14561] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (14*z^2)/a^6 - 
   (18*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (24*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (14*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14562] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + a^2*z^2 + z^4/a^8 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 14563] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^4 + z^2/a^2 + a^4*z^2 - 
   a^6*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 14564] -> 2 - a^2 - a^4 + a^6 + z^2 + z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14565] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 + 
   a^2*z^2 - a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14566] -> 
  -6*a^2 + 15*a^4 - 8*a^6 - 25*a^2*z^2 + 60*a^4*z^2 - 26*a^6*z^2 - 
   35*a^2*z^4 + 96*a^4*z^4 - 35*a^6*z^4 - 24*a^2*z^6 + 83*a^4*z^6 - 
   24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 14567] -> 
  -1 - 2*a^2 + 10*a^4 - 6*a^6 - 7*z^2 + 3*a^2*z^2 + 25*a^4*z^2 - 13*a^6*z^2 - 
   9*z^4 + 12*a^2*z^4 + 30*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 
   20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14568] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + 7*a^2*z^2 + 17*a^4*z^2 - 10*a^6*z^2 - 
   9*z^4 + 15*a^2*z^4 + 21*a^4*z^4 - 10*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14569] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - (3*z^2)/a^2 + 6*a^2*z^2 + 10*a^4*z^2 - 
   6*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 14570] -> 2 - a^(-2) - 3*a^2 + 7*a^4 - 
   4*a^6 + 4*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 + 6*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14571] -> 2/a^10 - 6/a^8 + 7/a^6 - 5/a^4 + 3/a^2 + 
   z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - (13*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (17*z^4)/a^6 - 
   (10*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14572] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (9*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - (18*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14573] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (9*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 14574] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^12 + (5*z^2)/a^10 - (16*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (22*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14575] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14576] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14577] -> -a^(-8) + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 14578] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14579] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + (4*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^4 - z^4 - (5*z^4)/a^8 + 
   (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 14580] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 
   10*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14581] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14582] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   6*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   18*a^4*z^4 + 13*a^6*z^4 - 3*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14583] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   16*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14584] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 
   16*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 4*z^4 - (2*z^4)/a^2 + 
   21*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 + z^6 - z^6/a^2 + 13*a^2*z^6 - 
   6*a^4*z^6 + z^8 + 3*a^2*z^8, Knot[14, Alternating, 14585] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^6*z^4 + z^6 + 4*a^2*z^6 + 
   3*a^4*z^6, Knot[14, Alternating, 14586] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + 
   a^6 - 15*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14587] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 4*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 13*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14588] -> 
  1 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 7*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 14589] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 + 2*a^2*z^6 - 
   7*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 14590] -> 2*a^2 - a^4 - 2*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + 2*z^6 + a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14591] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 14592] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14593] -> 
  a^6 + 3*a^8 - 3*a^10 - 8*a^6*z^2 + 35*a^8*z^2 - 18*a^10*z^2 - 24*a^6*z^4 + 
   77*a^8*z^4 - 30*a^10*z^4 - 22*a^6*z^6 + 76*a^8*z^6 - 23*a^10*z^6 - 
   8*a^6*z^8 + 39*a^8*z^8 - 8*a^10*z^8 - a^6*z^10 + 10*a^8*z^10 - a^10*z^10 + 
   a^8*z^12, Knot[14, Alternating, 14594] -> a^4 - a^6 + 4*a^8 - 3*a^10 - 
   2*a^4*z^2 + 3*a^6*z^2 + 17*a^8*z^2 - 10*a^10*z^2 - 7*a^4*z^4 + 
   10*a^6*z^4 + 26*a^8*z^4 - 12*a^10*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 
   19*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 14595] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 - a^4*z^2 + 2*a^6*z^2 + 14*a^8*z^2 - 
   8*a^10*z^2 - 7*a^4*z^4 + 12*a^6*z^4 + 18*a^8*z^4 - 9*a^10*z^4 - 
   5*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 14596] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 - 2*a^2*z^2 + 
   4*a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   9*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14597] -> a^2 - 2*a^6 + 5*a^8 - 3*a^10 - a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14598] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14599] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (24*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   z^6/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14600] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + a^2*z^2 + z^4/a^8 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 14601] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + (9*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14602] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 14603] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^6*z^2 - 
   7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 14604] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   7*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14605] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 - (2*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 14606] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 22*z^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 14607] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 14608] -> 
  2 - 2*a^2 + a^4 - z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   4*z^4 + 12*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14609] -> 2*a^2 - a^4 - 2*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 8*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 - 
   4*z^6 + 9*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14610] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14611] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 4*z^6 - z^6/a^4 - 
   (4*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 14612] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 5*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 
   4*a^10*z^2 - 8*a^4*z^4 + 19*a^6*z^4 + 11*a^8*z^4 - 8*a^10*z^4 - 
   5*a^4*z^6 + 14*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 14613] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 10*a^6*z^4 + 
   4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14614] -> 
  2*a^4 - a^8 - a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 
   12*a^6*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14615] -> 
  3 - a^(-2) - a^2 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14616] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 + a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14617] -> -a^4 + 6*a^6 - 4*a^8 - 5*a^4*z^2 + 
   16*a^6*z^2 + a^8*z^2 - 5*a^10*z^2 - 8*a^4*z^4 + 19*a^6*z^4 + 12*a^8*z^4 - 
   8*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 14618] -> 4*a^6 - 3*a^8 - a^2*z^2 + 10*a^6*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14619] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14620] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   13*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   19*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 - 
   6*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, Knot[14, Alternating, 14621] -> 
  a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 
   4*a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6, Knot[14, Alternating, 14622] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 7*a^4*z^2 + 18*a^6*z^2 + 4*a^8*z^2 - 
   7*a^10*z^2 - 11*a^4*z^4 + 24*a^6*z^4 + 17*a^8*z^4 - 11*a^10*z^4 - 
   6*a^4*z^6 + 18*a^6*z^6 + 17*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 14623] -> 3*a^6 - a^8 - a^10 - 2*a^2*z^2 + a^4*z^2 + 
   10*a^6*z^2 + 2*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 14*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14624] -> 
  a^4 + a^6 - a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14625] -> 
  a^4 + a^6 - a^10 - z^2 + 3*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 
   z^4 + 5*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 14626] -> 
  a^2 - a^4 + 2*a^6 - a^10 - z^2 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 14627] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14628] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + 
   a^2 - 14*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 
   17*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14629] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14630] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 23*z^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 14631] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 14632] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 14633] -> 
  2 - 2*a^2 + a^4 + z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   9*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14634] -> 6 - a^(-4) - 2/a^2 - 2*a^4 + 9*z^2 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14635] -> 1 - 3/a^4 + 4/a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 14636] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14637] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14638] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 + z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 + z^6 + 
   z^6/a^8 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14639] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 4*a^2*z^4 - 
   15*a^4*z^4 + 15*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14640] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14641] -> 
  a^(-4) - a^(-2) + a^2 + z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14642] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14643] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14644] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14645] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 
   7*a^4*z^2 + 12*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 + 4*a^2*z^4 - 
   15*a^4*z^4 + 18*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 10*a^4*z^6 + 
   14*a^6*z^6 - 10*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 14646] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 + z^2 + a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + 
   z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 14647] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14648] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + 
   z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 14649] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - (8*z^2)/a^10 + (17*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (9*z^4)/a^10 + (22*z^4)/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^6)/a^10 + (15*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 14650] -> -2/a^10 + 2/a^8 + a^(-4) - (4*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 14651] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 4*z^2 + z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 14652] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 
   5*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 14653] -> 
  a^2 + a^6 - a^8 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 
   2*a^2*z^6 + a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 14654] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + (5*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   7*a^4*z^4 + 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14655] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14656] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - 
   (7*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + 12*z^6 - (5*z^6)/a^2 + 12*a^2*z^6 - 
   5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 14657] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 14658] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 5*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 14659] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14660] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + (5*z^4)/a^8 - (6*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 14661] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14662] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14663] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   5*z^2 - z^2/a^4 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 14664] -> 
  a^(-4) - a^(-2) + a^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 14665] -> a^(-6) - a^(-4) + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 14666] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (5*z^2)/a^14 - (11*z^2)/a^12 + 
   (21*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + (22*z^4)/a^10 + 
   (11*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 14667] -> a^(-14) - 4/a^12 + 7/a^10 - 
   9/a^8 + 6/a^6 - (4*z^2)/a^12 + (14*z^2)/a^10 - (20*z^2)/a^8 + 
   (14*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (9*z^4)/a^10 - (20*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14668] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - (4*z^2)/a^12 + (14*z^2)/a^10 - 
   (20*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (9*z^4)/a^10 - 
   (20*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14669] -> 7 - 4/a^2 - 2*a^4 + 21*z^2 - (12*z^2)/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 29*z^4 - (13*z^4)/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + 
   20*z^6 - (6*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 14670] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 9*z^2 - (3*z^2)/a^4 + 3*a^2*z^2 - 4*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 14671] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 14672] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   17*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 23*z^4 + 
   (7*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14673] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 22*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14674] -> 1 + 2/a^10 - 6/a^8 + 7/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - 
   (12*z^2)/a^4 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (17*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14675] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (7*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (7*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14676] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 4*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14677] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (3*z^2)/a^16 - (16*z^2)/a^14 - 
   z^2/a^12 + (27*z^2)/a^10 + z^4/a^16 - (15*z^4)/a^14 + (12*z^4)/a^12 + 
   (38*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 14678] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (10*z^2)/a^14 + (3*z^2)/a^12 + (9*z^2)/a^10 + 
   (9*z^2)/a^8 - (4*z^4)/a^14 + (7*z^4)/a^12 + (14*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 14679] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (7*z^2)/a^14 - (5*z^2)/a^12 + (16*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^4)/a^14 + (4*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 14680] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (4*z^2)/a^14 - z^2/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^4)/a^12 + (7*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 14681] -> 2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + (5*z^4)/a^8 - (3*z^4)/a^6 - 
   (20*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 14682] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 14683] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - 
   a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 - 2*a^4*z^4 + 14*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 
   10*a^6*z^6 - 6*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, 
 Knot[14, Alternating, 14684] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14685] -> a^4 + a^6 - a^10 - a^4*z^2 + 9*a^6*z^2 - 
   2*a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 14*a^6*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   10*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14686] -> -a^(-4) + 2/a^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + (5*z^4)/a^8 - (7*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 14687] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 14688] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 + (7*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^12 + (5*z^4)/a^10 - (20*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14689] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 14690] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 6*z^2 + 
   6*a^2*z^2 + 16*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + 10*a^2*z^4 + 22*a^4*z^4 - 
   10*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14691] -> -1 - 2*a^2 + 10*a^4 - 6*a^6 - 6*z^2 + 
   2*a^2*z^2 + 24*a^4*z^2 - 12*a^6*z^2 - 9*z^4 + 13*a^2*z^4 + 25*a^4*z^4 - 
   11*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14692] -> -2 - 2/a^4 + 3/a^2 + 5*a^2 - 3*a^4 - 
   12*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 19*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14693] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 
   25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14694] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - 4*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 + z^4 - (3*z^4)/a^2 + 16*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 14695] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14696] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   3*z^2 + (7*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 + 3*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14697] -> a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^8 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 14698] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 6*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 2*z^4 - 
   3*a^2*z^4 + 14*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + 4*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14699] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 3*z^2 + 
   6*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 
   8*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14700] -> 3*a^6 - a^8 - a^10 - a^2*z^2 + a^4*z^2 + 
   8*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 9*a^6*z^4 + 
   3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 2*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14701] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14702] -> 
  2 - a^2 - a^4 + a^6 - z^2 + z^2/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14703] -> a^(-2) - a^4 + a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 14704] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (10*z^2)/a^14 + 
   (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + (7*z^4)/a^12 + 
   (19*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14705] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (9*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (8*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14706] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   (3*z^2)/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (6*z^4)/a^10 - (11*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 14707] -> -7*a^2 + 17*a^4 - 9*a^6 - 27*a^2*z^2 + 
   65*a^4*z^2 - 28*a^6*z^2 - 38*a^2*z^4 + 104*a^4*z^4 - 38*a^6*z^4 - 
   25*a^2*z^6 + 88*a^4*z^6 - 25*a^6*z^6 - 8*a^2*z^8 + 41*a^4*z^8 - 
   8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 14708] -> -1 - 3*a^2 + 12*a^4 - 7*a^6 - 6*z^2 - 
   a^2*z^2 + 31*a^4*z^2 - 15*a^6*z^2 - 9*z^4 + 10*a^2*z^4 + 34*a^4*z^4 - 
   14*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14709] -> -2 + a^2 + 7*a^4 - 5*a^6 - 6*z^2 + 
   4*a^2*z^2 + 21*a^4*z^2 - 11*a^6*z^2 - 7*z^4 + 9*a^2*z^4 + 26*a^4*z^4 - 
   11*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14710] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   23*z^2 + (7*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 28*z^4 + 
   (8*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14711] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14712] -> -2 + 9*a^4 - 6*a^6 - 9*z^2 + 8*a^2*z^2 + 
   23*a^4*z^2 - 13*a^6*z^2 - 12*z^4 + 20*a^2*z^4 + 27*a^4*z^4 - 13*a^6*z^4 - 
   6*z^6 + 18*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14713] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 4*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 + 8*a^4*z^2 - 
   6*a^6*z^2 + z^4 - (3*z^4)/a^2 + 15*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 14714] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 
   9*z^2 + 13*a^2*z^2 + 13*a^4*z^2 - 9*a^6*z^2 - 10*z^4 + 19*a^2*z^4 + 
   19*a^4*z^4 - 10*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14715] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 - (21*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 14716] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + z^2/a^12 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 14717] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (4*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14718] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + z^4/a^8 + 
   (6*z^4)/a^6 - (17*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14719] -> 
  3 - a^(-2) - a^2 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14720] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 14721] -> 2 - 2*a^2 + a^4 - 4*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 6*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14722] -> 3*a^4 - 2*a^6 - 6*a^2*z^2 + 
   16*a^4*z^2 - 7*a^6*z^2 - 17*a^2*z^4 + 41*a^4*z^4 - 17*a^6*z^4 - 
   17*a^2*z^6 + 51*a^4*z^6 - 17*a^6*z^6 - 7*a^2*z^8 + 31*a^4*z^8 - 
   7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 14723] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 5*a^2*z^2 + 
   12*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + 17*a^4*z^4 - 8*a^6*z^4 - 4*z^6 + 
   7*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14724] -> 
  -a^4 + 4*a^6 - 2*a^10 - 5*a^4*z^2 + 13*a^6*z^2 + 9*a^8*z^2 - 8*a^10*z^2 - 
   8*a^4*z^4 + 18*a^6*z^4 + 17*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 
   14*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 14725] -> 
  2*a^6 + a^8 - 2*a^10 - a^2*z^2 + 9*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 14726] -> 2*a^6 + a^8 - 2*a^10 - 
   2*a^4*z^2 + 7*a^6*z^2 + 10*a^8*z^2 - 7*a^10*z^2 - 5*a^4*z^4 + 9*a^6*z^4 + 
   19*a^8*z^4 - 9*a^10*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 15*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 14727] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 3*z^4 + 
   z^4/a^8 + (11*z^4)/a^6 - (26*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (14*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14728] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + z^4/a^8 + z^4/a^6 - 
   (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 14729] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^4 - 2*a^2*z^2 + 6*z^4 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + 8*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - z^8/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 14730] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 14731] -> -2/a^8 + 2/a^6 + a^(-4) + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 14732] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14733] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 - (3*z^2)/a^12 + (25*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (14*z^4)/a^14 + (9*z^4)/a^12 + (35*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 14734] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + z^2/a^16 - (9*z^2)/a^14 + 
   (3*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (6*z^4)/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14735] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 14*a^4*z^4 + 12*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14736] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 18*a^2*z^4 - 5*a^4*z^4 - 
   3*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 6*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14737] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + z^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14738] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - 6*z^4 + 11*a^2*z^4 + 5*a^4*z^4 - 
   5*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14739] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 + 
   2*a^2*z^4 - 10*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + z^6 - 9*a^4*z^6 + 
   6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[14, Alternating, 14740] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + 10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 8*z^4 + 
   14*a^2*z^4 + 8*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 12*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 14741] -> 2*a^2 - a^4 - z^2 - z^2/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 - (2*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 14742] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   z^2 - z^2/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14743] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 4*a^4*z^2 + 
   18*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + 19*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 11*a^6*z^6 + a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14744] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14745] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14746] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14747] -> a^(-6) - 4/a^4 + 5/a^2 - 2*a^2 + 
   a^4 + 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14748] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14749] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14750] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14751] -> -1 + a^(-2) + a^2 + a^4 - 
   2*a^6 + a^8 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   2*a^8*z^2 - 6*z^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14752] -> 2 - 2*a^2 + a^4 - z^2 + z^2/a^4 - 
   3*a^2*z^2 + 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 14753] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^4 - a^2*z^2 + a^4*z^2 - 4*z^4 + 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 14754] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (8*z^2)/a^10 + (16*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (9*z^4)/a^10 + (22*z^4)/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^6)/a^10 + (15*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 14755] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14756] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 + (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14757] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14758] -> 1 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 7*z^4 - (7*z^4)/a^6 + (9*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 14759] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14760] -> 2*a^4 - a^8 - z^2 + 2*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 7*a^4*z^4 + 9*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 8*a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14761] -> a^2 + a^6 - a^8 - z^2 + 3*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14762] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^2 + (4*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14763] -> -a^(-4) + 2/a^2 + z^2/a^8 - z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14764] -> 
  5 - 4/a^2 + 4*a^2 - 4*a^4 + 21*z^2 - (13*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   30*z^4 - (13*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + 20*z^6 - (6*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 14765] -> -5 - 3/a^4 + 6/a^2 + 6*a^2 - 
   3*a^4 - 14*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 
   15*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14766] -> 
  2/a^16 - 2/a^14 - 6/a^12 + 6/a^10 + a^(-8) + (4*z^2)/a^16 - (14*z^2)/a^14 - 
   (6*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + 
   (8*z^4)/a^12 + (31*z^4)/a^10 + (6*z^4)/a^8 - (4*z^6)/a^14 + 
   (11*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 14767] -> 
  -3 - 2/a^8 + 6/a^6 - 10/a^4 + 10/a^2 - 9*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (26*z^2)/a^4 + (28*z^2)/a^2 - 8*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (27*z^4)/a^4 + (31*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14768] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14769] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 26*a^2*z^4 - 7*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14770] -> 4/a^16 - 10/a^14 + 4/a^12 + 2/a^10 + 
   a^(-8) + (4*z^2)/a^16 - (24*z^2)/a^14 + (15*z^2)/a^12 + (12*z^2)/a^10 + 
   (5*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + (24*z^4)/a^12 + (23*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^14 + (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 14771] -> 
  2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 - 
   (2*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (17*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14772] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - (21*z^2)/a^14 + (5*z^2)/a^12 + 
   (25*z^2)/a^10 + z^4/a^16 - (18*z^4)/a^14 + (17*z^4)/a^12 + (38*z^4)/a^10 + 
   (3*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + (22*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 14773] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (19*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14774] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (5*z^2)/a^12 + (12*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + 
   (16*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14775] -> 
  a^(-16) - 2/a^14 - a^(-12) + a^(-10) + a^(-8) + a^(-6) - (4*z^2)/a^14 + 
   (5*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^4)/a^12 + (6*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 14776] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 14777] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 
   13*z^4 + (8*z^4)/a^4 - (13*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 14778] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 14779] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 - 
   z^4 + (8*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 14780] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 14781] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - a^2*z^2 - 
   a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   17*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 14782] -> -a^(-4) + 2/a^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 + z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (16*z^4)/a^4 + (5*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14783] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   19*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 25*a^2*z^4 - 
   7*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14784] -> 
  -8*a^2 + 19*a^4 - 10*a^6 - 30*a^2*z^2 + 72*a^4*z^2 - 31*a^6*z^2 - 
   39*a^2*z^4 + 109*a^4*z^4 - 39*a^6*z^4 - 25*a^2*z^6 + 89*a^4*z^6 - 
   25*a^6*z^6 - 8*a^2*z^8 + 41*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 14785] -> 
  -2 - a^2 + 11*a^4 - 7*a^6 - 9*z^2 + 6*a^2*z^2 + 28*a^4*z^2 - 15*a^6*z^2 - 
   10*z^4 + 15*a^2*z^4 + 33*a^4*z^4 - 14*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 
   21*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14786] -> 
  -3 + 3*a^2 + 6*a^4 - 5*a^6 - 10*z^2 + 13*a^2*z^2 + 17*a^4*z^2 - 
   11*a^6*z^2 - 11*z^4 + 21*a^2*z^4 + 22*a^4*z^4 - 11*a^6*z^4 - 5*z^6 + 
   16*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14787] -> 
  -4 + 6*a^2 + 3*a^4 - 4*a^6 - 12*z^2 + 19*a^2*z^2 + 12*a^4*z^2 - 
   10*a^6*z^2 - 13*z^4 + 28*a^2*z^4 + 17*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + 
   20*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 7*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14788] -> 
  3 - 2/a^2 - 2*a^2 + 6*a^4 - 4*a^6 + 7*z^2 - (5*z^2)/a^2 + a^2*z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 + 10*a^4*z^4 - 
   4*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 14789] -> 
  -1 + 4*a^4 - 2*a^8 - 4*z^2 + 5*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - 
   3*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 2*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 8*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 14790] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 2*z^2 - z^2/a^2 + 8*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14791] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14792] -> -4 + 3/a^2 + a^2 + a^4 - 12*z^2 + z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 14*z^4 + (3*z^4)/a^4 - a^2*z^4 + 
   3*a^4*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 14793] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 6*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^4*z^2 - 5*z^4 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 14794] -> 
  3 - a^(-2) - a^2 + 15*z^2 - (7*z^2)/a^2 - 7*a^2*z^2 + 41*z^4 - 
   (17*z^4)/a^2 - 17*a^2*z^4 + 51*z^6 - (17*z^6)/a^2 - 17*a^2*z^6 + 31*z^8 - 
   (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 14795] -> 4 - a^(-2) - 3*a^2 + a^4 + 11*z^2 - 
   (5*z^2)/a^2 - 6*a^2*z^2 + 17*z^4 - (8*z^4)/a^2 - 4*a^4*z^4 + 14*z^6 - 
   (5*z^6)/a^2 + 7*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 14796] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   6*z^4 + 10*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14797] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 7*a^4*z^2 + 21*a^6*z^2 - 5*a^10*z^2 - 
   9*a^4*z^4 + 25*a^6*z^4 + 7*a^8*z^4 - 6*a^10*z^4 - 5*a^4*z^6 + 16*a^6*z^6 + 
   9*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 14798] -> 
  -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - 3*a^2*z^2 + 8*a^4*z^2 + 7*a^8*z^2 - 
   4*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[14, Alternating, 14799] -> 
  4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + (4*z^2)/a^16 - (23*z^2)/a^14 + 
   (10*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + 
   (18*z^4)/a^12 + (33*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 14800] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + z^2/a^16 - (8*z^2)/a^14 - 
   (6*z^2)/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (3*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14801] -> 
  3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + (4*z^2)/a^16 - (18*z^2)/a^14 + 
   (24*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (12*z^4)/a^12 + 
   (34*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 14802] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (8*z^2)/a^14 - z^2/a^12 + (10*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (4*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 14803] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (24*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - (4*z^4)/a^12 + (22*z^4)/a^10 - (22*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 14804] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14805] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   11*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (8*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 14806] -> -3 - a^(-4) + 4/a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 14807] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 14808] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 14809] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14810] -> 2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 14811] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14812] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 14813] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 6*z^2 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - 6*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 4*z^6 + z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 14814] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + z^2/a^4 + z^2/a^2 + 3*a^4*z^2 - 
   5*z^4 + z^4/a^4 - 4*a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 14815] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^10 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14816] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 + (5*z^4)/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 14817] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - 
   14*a^2*z^2 + 9*a^4*z^2 + 11*z^4 - 23*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 + 
   6*z^6 - 18*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 + z^8 - 7*a^2*z^8 - 
   6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 14818] -> 
  1 - a^2 + 2*a^4 - a^6 + (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   2*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14819] -> 1 - z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 2*a^6*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14820] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (7*z^2)/a^10 + (14*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (11*z^4)/a^10 + 
   (23*z^4)/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 - (6*z^6)/a^10 + (18*z^6)/a^8 + 
   (10*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (7*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 14821] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (4*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^10 + (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14822] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14823] -> 
  2 - 2*a^2 + a^4 + z^2 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + a^6*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 14824] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) - (2*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 - 
   z^2/a^2 - z^4 - z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 14825] -> 1 - z^2 + z^2/a^4 - a^2*z^2 + a^6*z^2 - 
   4*z^4 + z^4/a^4 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 14826] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   z^4 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 14827] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 + (9*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 
   26*z^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 - 
   11*a^2*z^6 + 5*a^4*z^6 - 7*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 14828] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   11*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 3*a^4*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 14829] -> -3 - 4/a^4 + 8/a^2 - 12*z^2 - (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (24*z^2)/a^2 - 13*z^4 - (8*z^4)/a^6 + (7*z^4)/a^4 + 
   (30*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 14830] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 - (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 14831] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + (4*z^4)/a^2 - 13*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   4*z^6 + z^6/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14832] -> a^(-2) - a^2 + a^4 - 4*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 6*z^4 + 
   z^4/a^4 - 6*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 14833] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (13*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 14834] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4/a^8 + 
   (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 14835] -> 
  2 - 2*a^2 + a^4 + 15*z^2 - 31*a^2*z^2 + 15*a^4*z^2 + 29*z^4 - 73*a^2*z^4 + 
   29*a^4*z^4 + 23*z^6 - 75*a^2*z^6 + 23*a^4*z^6 + 8*z^8 - 39*a^2*z^8 + 
   8*a^4*z^8 + z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 14836] -> 3 - 4*a^2 + 2*a^4 + z^2 + (4*z^2)/a^2 - 
   16*a^2*z^2 + 9*a^4*z^2 - 8*z^4 + (8*z^4)/a^2 - 25*a^2*z^4 + 12*a^4*z^4 - 
   12*z^6 + (5*z^6)/a^2 - 19*a^2*z^6 + 6*a^4*z^6 - 6*z^8 + z^8/a^2 - 
   7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 14837] -> 
  4 - 6*a^2 + 3*a^4 + (4*z^2)/a^2 - 15*a^2*z^2 + 8*a^4*z^2 - 11*z^4 + 
   (8*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 - 14*a^2*z^6 + 
   5*a^4*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 14838] -> -2/a^6 + 3/a^4 - (15*z^2)/a^6 + 
   (32*z^2)/a^4 - (14*z^2)/a^2 - (29*z^4)/a^6 + (73*z^4)/a^4 - (29*z^4)/a^2 - 
   (23*z^6)/a^6 + (75*z^6)/a^4 - (23*z^6)/a^2 - (8*z^8)/a^6 + (39*z^8)/a^4 - 
   (8*z^8)/a^2 - z^10/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[14, Alternating, 14839] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 4*z^2 - 
   (9*z^2)/a^6 + (16*z^2)/a^4 - z^2/a^2 - 8*z^4 - (12*z^4)/a^6 + 
   (25*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 - (6*z^6)/a^6 + (19*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 14840] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - 
   3*z^2 - (7*z^2)/a^6 + (13*z^2)/a^4 - (2*z^2)/a^2 - 8*z^4 - (9*z^4)/a^6 + 
   (17*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 14841] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 
   2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - 11*a^2*z^2 + 5*a^4*z^2 - z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 14842] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 + z^2 - 
   (5*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (4*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 14843] -> 4 - 6*a^2 + 3*a^4 + z^2 + (2*z^2)/a^4 - 
   z^2/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   7*a^2*z^4 + 4*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 14844] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 2*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - 
   3*a^2*z^2 + 3*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 14845] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 7*z^2 - 4*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 + 
   11*z^4 - 17*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 + 6*z^6 - 17*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[14, Alternating, 14846] -> 
  2 - 3*a^4 + 2*a^6 + 3*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - z^4 + (3*z^4)/a^2 - 14*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 
   3*z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14847] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 
   2*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 12*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14848] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - (11*z^4)/a^8 + 
   (19*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 + 
   (16*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^8 + (7*z^8)/a^6 + (7*z^8)/a^4 - 
   z^8/a^2 + z^10/a^6 + z^10/a^4, Knot[14, Alternating, 14849] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (12*z^4)/a^4 - z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 14850] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 - z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 14851] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - z^2 + 
   z^2/a^4 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 14852] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 14853] -> 
  3 - 2*a^2 - 2*a^4 + 2*a^6 - z^2 + z^2/a^4 + z^2/a^2 - 5*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 14854] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 - z^2 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   a^2*z^2 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 14855] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 5*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14856] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 2*z^2 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14857] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 
   5*z^6 + z^6/a^2 + 6*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14858] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14859] -> 
  -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 + 2*z^2 + (8*z^2)/a^8 - 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 - (11*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[14, Alternating, 14860] -> 1 - a^(-10) + a^(-8) + a^(-6) - 
   a^(-4) + 2*z^2 + z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - z^4 - z^4/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2, 
 Knot[14, Alternating, 14861] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^2 - z^4/a^10 - 
   (6*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14862] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14863] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 14864] -> -1 - a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) + a^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14865] -> 1 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14866] -> 
  1 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - 2*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 14867] -> 3 + a^(-6) - 2/a^4 - a^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14868] -> -a^(-4) + 2/a^2 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14869] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14870] -> 2 - a^(-2) + a^4 - a^6 + 2*z^2 - a^2*z^2 + 
   2*a^4*z^2 + z^4/a^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14871] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 5*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14872] -> 
  5 - 2/a^2 - 2*a^2 + 4*z^2 - z^2/a^2 - a^2*z^2 - 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14873] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 14874] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 14875] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14876] -> 2 + a^(-6) - a^(-4) - a^(-2) + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - 7*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14877] -> a^(-6) - a^(-4) + a^2 - 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 14878] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14879] -> 1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 - 
   2*z^4 + z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14880] -> a^2 + a^4 - a^6 - 4*z^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14881] -> 2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14882] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 14883] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14884] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14885] -> 
  1 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14886] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   11*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14887] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 
   2*a^2 + a^4 + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 14888] -> 2 + a^(-6) - 2/a^2 + a^2 - 2*a^4 + a^8 + 
   3*z^2 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 14889] -> 
  1 - a^8 + 2*a^10 - a^12 + 2*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - 
   z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 14890] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 3*a^2*z^2 - 
   a^4*z^2 - 8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14891] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 14892] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, Alternating, 14893] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14894] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 14895] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^4 - (2*z^2)/a^12 + (9*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (18*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^6)/a^10 - (13*z^6)/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, Alternating, 14896] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 + z^4/a^4 - z^4/a^2 - (3*z^6)/a^8 + z^6/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 14897] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 14898] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 
   z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14899] -> 1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14900] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14901] -> 
  1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14902] -> 2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14903] -> 1 - 2*z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14904] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (6*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14905] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14906] -> 2*a^2 - a^4 - 5*z^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 7*z^4 + 23*a^2*z^4 - 18*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14907] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14908] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14909] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 14910] -> 3 - 2*a^2 - 3*a^4 + 5*a^6 - 
   3*a^8 + a^10 + 4*z^2 - 7*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - 8*a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 14911] -> 1 + a^(-2) - 2*a^2 + 2*a^6 - 2*a^8 + a^10 - 
   z^2 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 14912] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 14913] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 8*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14914] -> a^(-2) - a^2 + a^4 - 8*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 16*z^4 - (6*z^4)/a^4 + 
   (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 12*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14915] -> 1 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - 10*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14916] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 14*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14917] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14918] -> 
  1 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 14919] -> -a^(-12) + 2/a^10 - a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14920] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 14921] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14922] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14923] -> 3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14924] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14925] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 
   2/a^2 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14926] -> 1 - a^(-12) + 2/a^10 - a^(-8) + 
   (4*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + z^2/a^4 - z^4 - (5*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 14927] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 
   10*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14928] -> 3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14929] -> -a^(-12) + 2/a^10 - a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 14930] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 14931] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (7*z^4)/a^4 + z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 14932] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 
   8*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14933] -> -1 - 2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14934] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + a^2 - z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4 - 
   (5*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 14935] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 - z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14936] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14937] -> a^2 + a^4 - a^6 - 2*z^2 + 4*a^2*z^2 + 
   a^6*z^2 - a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 8*a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14938] -> 2*a^2 - a^4 - z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 14939] -> a^(-2) - a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14940] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14941] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14942] -> a^(-2) - a^2 + a^4 - 9*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 8*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 14943] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 14944] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 
   5*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14945] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14946] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14947] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 14948] -> a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14949] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 14950] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14951] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 16*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14952] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14953] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 14954] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 14955] -> 5 - 2/a^2 - 2*a^2 + z^2/a^2 + 
   a^2*z^2 - 13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 13*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 14956] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14957] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 
   6*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 14958] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 2*z^2 + 16*a^2*z^2 - 31*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 19*a^2*z^4 - 39*a^4*z^4 + 21*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 10*a^2*z^6 - 23*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 14959] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - a^4*z^2 + 
   17*a^6*z^2 - 18*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 16*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 14960] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 + a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 14961] -> 4/a^12 - 9/a^10 + 3/a^8 + 3/a^6 + 
   (10*z^2)/a^12 - (21*z^2)/a^10 + z^2/a^8 + (13*z^2)/a^6 + (12*z^4)/a^12 - 
   (24*z^4)/a^10 - (12*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^12 - 
   (18*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 14962] -> 2/a^12 - 2/a^10 - 5/a^8 + 6/a^6 + 
   (4*z^2)/a^12 - (3*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (16*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 14963] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + 
   (9*z^2)/a^2 + (7*z^4)/a^8 - (3*z^4)/a^6 - (25*z^4)/a^4 + (12*z^4)/a^2 + 
   (5*z^6)/a^8 - (11*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 14964] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14965] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 4*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 + z^4/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14966] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 14967] -> 
  a^2 + a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 14968] -> -1 + 3*a^2 - a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 14969] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 24*z^2 + 
   (7*z^2)/a^2 + 28*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 32*z^4 + (9*z^4)/a^2 + 
   32*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 
   3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 14970] -> a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14971] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14972] -> a^2 + a^4 - a^6 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14973] -> 1 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14974] -> 
  a^2 + a^6 - a^8 + 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + z^4 + a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 14975] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 14976] -> 
  -1 + 3*a^2 - a^6 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 14977] -> 
  3 - 4*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 
   10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14978] -> 
  4 - a^(-2) - 3*a^2 + a^4 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 14979] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (3*z^2)/a^10 - (15*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^4)/a^10 - (5*z^4)/a^8 + (19*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 14980] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 14981] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14982] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - (3*z^2)/a^2 - 
   a^2*z^2 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 14983] -> -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^4 + 
   6*a^2*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 14984] -> -a^4 + 6*a^6 - 4*a^8 + 4*a^2*z^2 - 
   8*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 16*a^4*z^4 + 6*a^6*z^4 + 
   3*a^8*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 6*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 14985] -> 4*a^6 - 3*a^8 + 2*z^2 - a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 3*z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 
   2*a^8*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 14986] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + (11*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (27*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14987] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 + 4*a^6*z^2 + 
   5*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[14, Alternating, 14988] -> 
  -a^(-4) + 2/a^2 + (4*z^2)/a^8 - (12*z^2)/a^4 + (9*z^2)/a^2 + (8*z^4)/a^8 - 
   (8*z^4)/a^6 - (24*z^4)/a^4 + (12*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (19*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 14989] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + 5*a^2*z^2 + 21*a^4*z^2 - 12*a^6*z^2 - 
   9*z^4 + 12*a^2*z^4 + 29*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 
   20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 14990] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 - z^4/a^2 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 14991] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 3*z^2 + 2*a^2*z^2 + 9*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 12*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 14992] -> -a^4 + 6*a^6 - 4*a^8 + 
   4*a^2*z^2 - 10*a^4*z^2 + 19*a^6*z^2 - 6*a^8*z^2 + 8*a^2*z^4 - 19*a^4*z^4 + 
   14*a^6*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - a^6*z^6 + 3*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 14993] -> 4*a^6 - 3*a^8 + 2*z^2 - a^2*z^2 - 
   3*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 
   6*a^6*z^4 + a^8*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 14994] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (26*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 14995] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + z^4/a^8 + 
   z^4/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 14996] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 8*z^2 + 17*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   6*z^4 - (2*z^4)/a^2 + 23*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + z^6 - z^6/a^2 + 
   14*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 14997] -> 4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (27*z^2)/a^14 + (19*z^2)/a^12 + (16*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (19*z^4)/a^14 + (28*z^4)/a^12 + (27*z^4)/a^10 + 
   (7*z^4)/a^8 - (4*z^6)/a^14 + (16*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 14998] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (11*z^2)/a^14 + 
   (3*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (8*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 14999] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + (6*z^2)/a^12 - (16*z^2)/a^10 + 
   (6*z^2)/a^8 + (9*z^2)/a^6 + (8*z^4)/a^12 - (16*z^4)/a^10 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 + (5*z^6)/a^12 - (13*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 15000] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15001] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 - z^4/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 15002] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (10*z^2)/a^14 - z^2/a^12 + 
   (17*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + (6*z^4)/a^12 + 
   (19*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 15003] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (4*z^2)/a^14 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 15004] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - z^2/a^10 - (9*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15005] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15006] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 15007] -> 4*a^6 - 3*a^8 + 2*z^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 6*a^2*z^4 + a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[14, Alternating, 15008] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - z^4 + 
   z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - 
   a^6*z^6, Knot[14, Alternating, 15009] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 + 
   a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 3*a^6*z^6 + 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 15010] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - z^4/a^10 - (6*z^4)/a^8 + 
   (16*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15011] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 11*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15012] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 + 2*a^2*z^4 - 6*a^6*z^4 + 4*a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[14, Alternating, 15013] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 - a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 15014] -> a^4 + 2*a^6 - 2*a^8 + z^2 + a^2*z^2 - 
   4*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + a^2*z^4 - 12*a^4*z^4 + 
   9*a^6*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 15015] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + z^2/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 - z^2/a^2 + a^2*z^2 + z^4/a^8 + z^4/a^6 - (12*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 15016] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 4*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[14, Alternating, 15017] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 15018] -> 1 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15019] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + 
   a^4 - 9*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 + z^4/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15020] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15021] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 15022] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 15023] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 5*a^2*z^2 - 14*a^4*z^2 + 
   21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 22*a^4*z^4 + 
   25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15024] -> a^2 + a^4 - a^6 - z^2 + z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 15025] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 8*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15026] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   2*z^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 15027] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - z^4 + 
   z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[14, Alternating, 15028] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 15*z^2 - (2*z^2)/a^4 + (14*z^2)/a^2 + 
   6*a^2*z^2 - 22*z^4 + (6*z^4)/a^4 + z^4/a^2 + 11*a^2*z^4 - 18*z^6 + 
   (5*z^6)/a^4 - (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 15029] -> 
  4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + (8*z^2)/a^16 - (42*z^2)/a^14 + 
   (36*z^2)/a^12 + (13*z^2)/a^10 + (5*z^4)/a^16 - (46*z^4)/a^14 + 
   (62*z^4)/a^12 + (28*z^4)/a^10 + z^6/a^16 - (20*z^6)/a^14 + (47*z^6)/a^12 + 
   (23*z^6)/a^10 - (3*z^8)/a^14 + (16*z^8)/a^12 + (8*z^8)/a^10 + 
   (2*z^10)/a^12 + z^10/a^10, Knot[14, Alternating, 15030] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (3*z^2)/a^16 - (16*z^2)/a^14 + 
   (2*z^2)/a^12 + (23*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (13*z^4)/a^14 + 
   (11*z^4)/a^12 + (32*z^4)/a^10 + (7*z^4)/a^8 - (3*z^6)/a^14 + 
   (9*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (2*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, Alternating, 15031] -> -6*a^2 + 15*a^4 - 8*a^6 - 
   29*a^2*z^2 + 68*a^4*z^2 - 30*a^6*z^2 - 45*a^2*z^4 + 120*a^4*z^4 - 
   45*a^6*z^4 - 30*a^2*z^6 + 105*a^4*z^6 - 30*a^6*z^6 - 9*a^2*z^8 + 
   48*a^4*z^8 - 9*a^6*z^8 - a^2*z^10 + 11*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 15032] -> -2 + a^2 + 7*a^4 - 5*a^6 - 9*z^2 + 
   5*a^2*z^2 + 28*a^4*z^2 - 16*a^6*z^2 - 12*z^4 + 16*a^2*z^4 + 38*a^4*z^4 - 
   17*a^6*z^4 - 6*z^6 + 17*a^2*z^6 + 25*a^4*z^6 - 7*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15033] -> -5*a^2 + 13*a^4 - 7*a^6 - 6*z^2 - 
   4*a^2*z^2 + 35*a^4*z^2 - 17*a^6*z^2 - 11*z^4 + 11*a^2*z^4 + 40*a^4*z^4 - 
   17*a^6*z^4 - 6*z^6 + 16*a^2*z^6 + 25*a^4*z^6 - 7*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15034] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 - 
   (2*z^2)/a^2 + 11*a^2*z^2 + 11*a^4*z^2 - 8*a^6*z^2 - (3*z^4)/a^2 + 
   17*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15035] -> -4 + 8*a^2 - a^4 - 2*a^6 - 16*z^2 + 
   28*a^2*z^2 + 4*a^4*z^2 - 9*a^6*z^2 - 17*z^4 + 38*a^2*z^4 + 16*a^4*z^4 - 
   12*a^6*z^4 - 7*z^6 + 25*a^2*z^6 + 17*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   8*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15036] -> -4 + 9*a^2 - 3*a^4 - a^6 - 4*z^2 - 
   (4*z^2)/a^2 + 21*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 
   22*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 11*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15037] -> 3 - 2/a^2 + 2*a^4 - 2*a^6 + 9*z^2 - 
   (7*z^2)/a^2 + 2*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 + 6*z^6 - z^6/a^2 + 5*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15038] -> 3 - 2/a^2 + a^2 - a^6 + 6*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 7*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 15039] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 + (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 12*z^4 + 
   (3*z^4)/a^4 + z^4/a^2 + 3*a^4*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 15040] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (6*z^2)/a^14 - (4*z^2)/a^12 + (13*z^2)/a^10 + 
   (9*z^2)/a^8 - (3*z^4)/a^14 + (2*z^4)/a^12 + (15*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 15041] -> -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 13*a^2*z^2 + 
   26*a^4*z^2 + 2*a^6*z^2 - 7*a^8*z^2 - 16*a^2*z^4 + 35*a^4*z^4 + 
   13*a^6*z^4 - 11*a^8*z^4 - 7*a^2*z^6 + 24*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 - a^2*z^8 + 8*a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^4*z^10 + 
   a^6*z^10, Knot[14, Alternating, 15042] -> -1 + 5*a^4 - 2*a^6 - a^8 - 
   4*z^2 + a^2*z^2 + 14*a^4*z^2 - 4*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 
   17*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 10*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 15043] -> -2*a^2 + 5*a^4 - 2*a^8 - 3*z^2 - a^2*z^2 + 
   13*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 16*a^4*z^4 + 
   4*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 15044] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 - z^2/a^2 + 4*a^2*z^2 + 7*a^4*z^2 - 
   2*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 15045] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 8*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 17*a^4*z^4 - 3*a^8*z^4 - z^6 + 5*a^2*z^6 + 
   10*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 15046] -> -2 + 4*a^2 + a^4 - 2*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + z^4 - 
   z^4/a^2 + 8*a^2*z^4 + 7*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 15047] -> 1 - a^(-2) + a^2 + 2*a^4 - 
   2*a^6 + 2*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 15048] -> 1 - a^(-2) + 2*a^2 - a^6 + 2*z^2 - z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^2 + 
   4*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, Knot[14, Alternating, 15049] -> 
  a^4 + 2*a^6 - 2*a^8 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 17*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15050] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 13*a^2*z^2 - 
   14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 21*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15051] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15052] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15053] -> -a^(-8) + a^(-6) + a^(-2) + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^8 - (16*z^4)/a^4 + (8*z^4)/a^2 + 
   (4*z^6)/a^8 - (7*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15054] -> 4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + 
   (4*z^2)/a^16 - (28*z^2)/a^14 + (22*z^2)/a^12 + (15*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (19*z^4)/a^14 + (29*z^4)/a^12 + (27*z^4)/a^10 + 
   (7*z^4)/a^8 - (4*z^6)/a^14 + (16*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 15055] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (11*z^2)/a^14 + 
   (2*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (8*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 15056] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - (18*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15057] -> -4*a^2 + 11*a^4 - 6*a^6 - 4*z^2 - 
   4*a^2*z^2 + 28*a^4*z^2 - 13*a^6*z^2 - 8*z^4 + 7*a^2*z^4 + 31*a^4*z^4 - 
   13*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15058] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 3*z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + z^4 - (3*z^4)/a^2 + 
   14*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15059] -> 2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (19*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + 
   z^2/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15060] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + (5*z^2)/a^10 - (21*z^2)/a^8 + 
   (30*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (35*z^4)/a^6 - (20*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 15061] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - (10*z^4)/a^4 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15062] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (10*z^2)/a^14 + 
   (17*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + (6*z^4)/a^12 + 
   (19*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 15063] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (4*z^2)/a^14 - (2*z^2)/a^12 + 
   (9*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 15064] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15065] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*z^2 + 8*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 
   3*z^4 + 2*a^2*z^4 + 11*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 
   8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 15066] -> -1 + 2*a^2 + a^4 - a^8 - z^2 - z^2/a^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 15067] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   (4*z^2)/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^4)/a^10 + z^4/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15068] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15069] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 14*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 12*z^4 + 
   z^4/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 3*z^6 + 
   10*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15070] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15071] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (12*z^2)/a^10 + 
   (10*z^2)/a^8 + (6*z^2)/a^6 + (7*z^4)/a^12 - (12*z^4)/a^10 + (11*z^4)/a^6 + 
   (5*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 15072] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (5*z^2)/a^10 + (8*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15073] -> -3*a^2 + 9*a^4 - 5*a^6 - 2*z^2 - 5*a^2*z^2 + 
   23*a^4*z^2 - 10*a^6*z^2 - 7*z^4 + 4*a^2*z^4 + 27*a^4*z^4 - 12*a^6*z^4 - 
   5*z^6 + 11*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15074] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 5*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 
   2*z^4 - (2*z^4)/a^2 + 10*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15075] -> -3/a^8 + 4/a^6 + z^2/a^12 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15076] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15077] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 
   8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 15078] -> 2*a^4 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - a^8*z^4 + 
   z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 15079] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15080] -> 
  4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 + 6*a^2*z^2 - 17*a^4*z^2 + 
   18*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 23*a^4*z^4 + 
   24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15081] -> 1 + z^2/a^4 - z^2/a^2 - a^4*z^2 + a^6*z^2 - 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 15082] -> a^(-2) - a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - 9*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15083] -> 
  4 - a^(-2) - 3*a^2 + a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 15084] -> a^2 + a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15085] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^4 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15086] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + 
   (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15087] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 + z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15088] -> a^(-6) - 3/a^4 + 3/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15089] -> 4 - a^(-2) - 3*a^2 + a^4 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15090] -> 10 - 6/a^2 - 3*a^4 + 27*z^2 - (17*z^2)/a^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 35*z^4 - (17*z^4)/a^2 + 28*a^2*z^4 - 
   16*a^4*z^4 + 24*z^6 - (7*z^6)/a^2 + 23*a^2*z^6 - 7*a^4*z^6 + 8*z^8 - 
   z^8/a^2 + 8*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 15091] -> 2 - 3/a^2 + 7*a^2 - 5*a^4 + 4*z^2 - 
   (7*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 
   24*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + 5*z^6 - z^6/a^2 + 12*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15092] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   4*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15093] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15094] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 9*z^2 - (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (16*z^2)/a^2 - 12*z^4 - (8*z^4)/a^6 + (9*z^4)/a^4 + (25*z^4)/a^2 - 6*z^6 - 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 15095] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^6 + z^4/a^4 + (15*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 15096] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - 
   (6*z^2)/a^4 - (7*z^4)/a^10 + (3*z^4)/a^8 + (27*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^6)/a^10 + (11*z^6)/a^8 + (19*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^10 + 
   (6*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 15097] -> 4/a^16 - 12/a^14 + 8/a^12 + a^(-8) + 
   (4*z^2)/a^16 - (26*z^2)/a^14 + (22*z^2)/a^12 + (8*z^2)/a^10 + 
   (6*z^2)/a^8 + z^4/a^16 - (16*z^4)/a^14 + (25*z^4)/a^12 + (18*z^4)/a^10 + 
   (11*z^4)/a^8 - (3*z^6)/a^14 + (12*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 15098] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (9*z^2)/a^14 + z^2/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (3*z^4)/a^14 + (5*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 15099] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^2 - (3*z^4)/a^10 + 
   (14*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15100] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (3*z^2)/a^14 - (2*z^2)/a^12 + (6*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^4)/a^12 + (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 15101] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15102] -> 
  -6 + 4/a^2 + 4*a^2 - 3*a^4 + 2*a^6 - 23*z^2 + (8*z^2)/a^2 + 18*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - 26*z^4 + (5*z^4)/a^2 + 28*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + z^6/a^2 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15103] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^4 + 2*a^6 + 2*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 5*z^4 + z^4/a^4 - (8*z^4)/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15104] -> 
  a^(-2) - a^2 + a^4 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15105] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   4*a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 15*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15106] -> a^2 + a^6 - a^8 + z^2 - a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 15107] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^10 + 
   (9*z^6)/a^6 - z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15108] -> 1 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - 2*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15109] -> 
  2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 16*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 25*a^4*z^4 + 17*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 8*a^2*z^6 - 17*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15110] -> 1 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15111] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15112] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15113] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 8*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (30*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15114] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15115] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - 
   z^4/a^10 - (5*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15116] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   15*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   19*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15117] -> -6 + 4/a^2 + 4*a^2 - 2*a^4 + a^8 - 13*z^2 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 9*z^4 + 
   z^4/a^2 + 6*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 15118] -> 
  1 + 2/a^4 - 2/a^2 - a^4 + a^8 - z^2 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 15119] -> 
  4*a^4 - 4*a^6 + a^8 + 5*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 + 3*a^2*z^6 - 
   10*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 15120] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 + 
   a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   21*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15121] -> -7 + 4/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   26*z^2 + (8*z^2)/a^2 + 23*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 33*z^4 + 
   (9*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 
   16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15122] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15123] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 15124] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + 
   a^2 + a^4 - 14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 9*z^4 + z^4/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15125] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   (2*z^2)/a^6 + z^2/a^2 - z^4/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15126] -> 
  1 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15127] -> a^2 + a^4 - a^6 + z^2 + z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15128] -> -6 + 4/a^2 + 3*a^2 - a^6 + a^8 - 14*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 15129] -> 
  -6 + 4/a^2 + 4*a^2 - 3*a^4 + 2*a^6 - 25*z^2 + (8*z^2)/a^2 + 20*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 33*z^4 + (9*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 15130] -> 
  -6 + 4/a^2 + 4*a^2 - 2*a^4 + a^8 - 14*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 15131] -> 3 - a^(-2) - a^2 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15132] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   (11*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (4*z^4)/a^10 - z^4/a^8 + 
   (23*z^4)/a^6 - (8*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + (15*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 15133] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - (6*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (2*z^4)/a^10 - 
   z^4/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15134] -> 4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 15135] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15136] -> 4 - a^(-4) - 2*a^2 + (2*z^2)/a^2 + a^2*z^2 - 
   11*z^4 + (4*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 13*z^6 + (4*z^6)/a^4 - 
   (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 15137] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 - (3*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - 
   (5*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 15138] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15139] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   4*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 15140] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15141] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 + 
   (2*z^2)/a^2 + (5*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15142] -> 4 - a^(-4) - 2*a^2 + 3*z^2 + z^2/a^4 - 
   z^2/a^2 - 5*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 15143] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   z^4 + (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 15144] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^2 - 
   6*z^4 + (2*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 15145] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 15146] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15147] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (5*z^2)/a^10 + (11*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (8*z^4)/a^10 + (17*z^4)/a^8 - (3*z^4)/a^4 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 15148] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15149] -> 1 - a^(-10) + 2/a^8 - a^(-6) - z^2/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - z^4 - z^4/a^10 + (5*z^4)/a^6 + 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 15150] -> a^(-2) - a^2 + a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 15151] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 15152] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 - (6*z^4)/a^6 + 
   (12*z^4)/a^4 - 3*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 15153] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 2*z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + 7*z^4 - 10*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 + 
   5*z^6 - 12*a^2*z^6 - 11*a^4*z^6 + 5*a^6*z^6 + z^8 - 6*a^2*z^8 - 
   6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 15154] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15155] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15156] -> -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^4 + 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^4 - 3*a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 15157] -> 
  -1 + 3*a^2 - a^6 - z^2 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15158] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15159] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 15160] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 - a^2*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15161] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   6*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 15162] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 - 4*z^4 - (6*z^4)/a^6 + 
   (12*z^4)/a^4 + z^4/a^2 - 4*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 15163] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   3*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 15164] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   4*z^4 + z^4/a^4 - 3*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 15165] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15166] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - 
   (6*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 - 5*z^4 - (9*z^4)/a^6 + 
   (19*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 15167] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15168] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15169] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^4 + 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 15170] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*z^4 - (7*z^4)/a^6 + (16*z^4)/a^4 - 3*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (5*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 15171] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15172] -> -2 + a^(-2) + a^2 + 3*a^4 - 
   2*a^6 - 8*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15173] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 9*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 10*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 15174] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^4 - (7*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 15175] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 15176] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 - 
   z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15177] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15178] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 15179] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - 3*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (5*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 15180] -> 
  1 + 2*z^4 - z^4/a^4 - a^4*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 15181] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2/a^4 + a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 15182] -> 3 + a^(-6) - 2/a^4 - a^2 - z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15183] -> 3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15184] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 15185] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^4 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15186] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + (8*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15187] -> 1 - a^(-10) + 2/a^8 - a^(-6) - z^2/a^10 + 
   (3*z^2)/a^8 - z^2/a^6 - z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 + z^4/a^4 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 15188] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 - a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 15189] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 - 3*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 15190] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 15191] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 15192] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + z^2 - z^2/a^2 + 9*a^2*z^2 - 20*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15193] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - 2*a^2*z^2 + 
   3*a^4*z^2 + 14*a^6*z^2 - 15*a^8*z^2 + 5*a^10*z^2 - z^4 - 2*a^2*z^4 + 
   5*a^4*z^4 + 11*a^6*z^4 - 9*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6, 
 Knot[14, Alternating, 15194] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (19*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 15195] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15196] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15197] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^10 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 15198] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15199] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15200] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15201] -> -3 + 2/a^2 + 2*a^2 - 20*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 + 15*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15202] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (5*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 + (9*z^4)/a^8 - 
   (13*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15203] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 8*z^2 + 11*a^2*z^2 + 11*a^4*z^2 - 8*a^6*z^2 - 
   10*z^4 + 18*a^2*z^4 + 18*a^4*z^4 - 10*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15204] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - z^2/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15205] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15206] -> 
  3 + a^(-6) - 3/a^2 + 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15207] -> -a^(-8) + a^(-6) + a^(-2) + (4*z^2)/a^8 - 
   z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + (8*z^4)/a^8 - (11*z^4)/a^6 - 
   (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - (14*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 15208] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15209] -> 
  -a^(-6) + a^(-4) + a^(-2) + (6*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 + (9*z^4)/a^8 - (16*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15210] -> -a^(-4) + 2/a^2 + z^2 + (3*z^2)/a^8 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (13*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15211] -> -2 + a^(-2) + 3*a^2 - a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15212] -> a^(-4) - a^(-2) + a^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 15213] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15214] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15215] -> 
  -4 + 10*a^2 - 5*a^4 - 16*z^2 + (4*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 
   21*z^4 + (8*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 15216] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15217] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (13*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15218] -> -4 - 3/a^4 + 7/a^2 + a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15219] -> -a^(-2) + 5*a^2 - 3*a^4 + 
   3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 15220] -> -1 + 3*a^2 - a^6 - z^2 + z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + a^6*z^4 - 
   2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 15221] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 14*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15222] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15223] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 4*z^2 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (13*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15224] -> -5*a^2 + 13*a^4 - 7*a^6 - 26*a^2*z^2 + 
   61*a^4*z^2 - 27*a^6*z^2 - 38*a^2*z^4 + 103*a^4*z^4 - 38*a^6*z^4 - 
   25*a^2*z^6 + 88*a^4*z^6 - 25*a^6*z^6 - 8*a^2*z^8 + 41*a^4*z^8 - 
   8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 15225] -> -4*a^2 + 11*a^4 - 6*a^6 - 6*z^2 - 
   2*a^2*z^2 + 30*a^4*z^2 - 15*a^6*z^2 - 9*z^4 + 10*a^2*z^4 + 34*a^4*z^4 - 
   14*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15226] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 11*z^2 + 
   13*a^2*z^2 + 17*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + 24*a^2*z^4 + 25*a^4*z^4 - 
   13*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15227] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 3*z^2 - 
   (3*z^2)/a^2 + 12*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   16*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15228] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (3*z^2)/a^16 - (17*z^2)/a^14 + (5*z^2)/a^12 + (22*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (15*z^4)/a^14 + (14*z^4)/a^12 + (34*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^6)/a^14 + (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 15229] -> 
  -3 + 6*a^2 - 2*a^6 - 12*z^2 + 21*a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 - 13*z^4 + 
   29*a^2*z^4 + 12*a^4*z^4 - 9*a^6*z^4 - 6*z^6 + 20*a^2*z^6 + 13*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15230] -> -3 + 7*a^2 - 2*a^4 - a^6 - 3*z^2 - 
   (3*z^2)/a^2 + 16*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   17*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15231] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 + z^6/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15232] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 4*z^2 + 
   2*a^2*z^2 + 10*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 11*a^2*z^4 + 
   a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15233] -> -1 + a^2 + 4*a^4 - 3*a^6 - (2*z^2)/a^2 + 
   3*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15234] -> 
  -1 + a^(-4) + a^4 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 6*a^4*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15235] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15236] -> -3*a^2 + 9*a^4 - 5*a^6 - 6*z^2 + a^2*z^2 + 
   23*a^4*z^2 - 12*a^6*z^2 - 9*z^4 + 13*a^2*z^4 + 25*a^4*z^4 - 11*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15237] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 - (3*z^2)/a^2 + 14*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 17*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 15238] -> -a^2 + 4*a^4 - a^6 - a^8 - 
   4*z^2 + 4*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   12*a^2*z^4 - 3*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   8*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 15239] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 + 
   3*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15240] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - (2*z^2)/a^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15241] -> 
  3*a^4 - 2*a^6 + z^2 - z^2/a^4 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 + 3*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 15242] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (22*z^4)/a^4 + z^6 + z^6/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15243] -> -2*a^2 + 7*a^4 - 4*a^6 - 3*z^2 - 2*a^2*z^2 + 
   19*a^4*z^2 - 9*a^6*z^2 - 6*z^4 + 5*a^2*z^4 + 23*a^4*z^4 - 10*a^6*z^4 - 
   4*z^6 + 9*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15244] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (11*z^2)/a^14 + 
   (4*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^14 + 
   (8*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 15245] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (3*z^2)/a^10 + (8*z^2)/a^6 + 
   z^2/a^4 + (2*z^4)/a^12 + z^4/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (10*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15246] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15247] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - z^2/a^2 + 7*a^2*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 
   6*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15248] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (6*z^2)/a^12 + (21*z^2)/a^10 + (5*z^2)/a^8 - (5*z^4)/a^14 + (3*z^4)/a^12 + 
   (24*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + (4*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 15249] -> 
  -a^(-10) - 3/a^8 + 7/a^6 - 2/a^4 - z^2/a^10 - (5*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - z^4/a^10 - (4*z^4)/a^8 + (19*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15250] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 3*z^2 - 4*a^2*z^2 + 24*a^4*z^2 - 11*a^6*z^2 - 
   6*z^4 + 4*a^2*z^4 + 27*a^4*z^4 - 11*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15251] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 - 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 7*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 2*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[14, Alternating, 15252] -> 
  3 - a^(-4) - a^4 + 3*z^2 - z^2/a^6 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + (3*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 15253] -> 
  2*a^4 - a^8 - z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15254] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 15255] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (10*z^2)/a^14 + 
   (5*z^2)/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (13*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 15256] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15257] -> -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 
   (2*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15258] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 15259] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2/a^4 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 15260] -> 
  a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15261] -> 
  2/a^10 - 5/a^8 + 4/a^6 - 2/a^4 + 2/a^2 + (5*z^2)/a^10 - (19*z^2)/a^8 + 
   (24*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (33*z^4)/a^6 - (21*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (21*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 15262] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 12*z^2 - (7*z^2)/a^4 + (16*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 17*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 14*z^6 - z^6/a^4 + (11*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15263] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 4*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 15264] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 + z^2/a^10 - (9*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - (16*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15265] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15266] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 13*z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15267] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15268] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (6*z^2)/a^14 - 
   (10*z^2)/a^12 + (24*z^2)/a^10 + (4*z^2)/a^8 - (5*z^4)/a^14 + z^4/a^12 + 
   (27*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + (4*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 15269] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - (15*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15270] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 15271] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15272] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15273] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 - z^4/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 15274] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   z^2 + (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (13*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15275] -> 1 + 2/a^10 - 5/a^8 + 4/a^6 - a^(-4) + 
   2*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15276] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15277] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 - a^2*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15278] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15279] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + 
   (17*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15280] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15281] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15282] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 - 8*z^2 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 - 17*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15283] -> 3 - a^(-4) - a^4 + 4*z^2 - z^2/a^6 + 
   z^2/a^4 + a^4*z^2 - a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 15284] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15285] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 15286] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 + (4*z^4)/a^8 + z^4/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + 
   (4*z^6)/a^8 - (7*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15287] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (5*z^4)/a^10 + 
   (9*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 15288] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15289] -> 
  -1 + 4*a^2 - 2*a^4 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 6*a^4*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15290] -> 
  2*a^2 - a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15291] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 8*z^2 - 
   (3*z^2)/a^6 - z^2/a^4 + (16*z^2)/a^2 - 10*z^4 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 15292] -> -a^(-6) + a^(-4) + a^(-2) + 
   z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + z^4/a^8 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (10*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15293] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15294] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 4*z^2 + (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (15*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (18*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15295] -> 1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 15296] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^6 - 
   z^2/a^2 + a^2*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 15297] -> 
  8 - 5/a^2 + a^2 - 3*a^4 + 23*z^2 - (15*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 
   30*z^4 - (14*z^4)/a^2 + 24*a^2*z^4 - 13*a^4*z^4 + 20*z^6 - (6*z^6)/a^2 + 
   19*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 15298] -> 3 - 2/a^4 + a^(-2) + a^2 - 
   2*a^4 + 11*z^2 - (6*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   16*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 15299] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (9*z^2)/a^14 + z^2/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (5*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 15300] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 7*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 15301] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 7*z^2 - 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 15302] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 15303] -> 
  -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 16*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15304] -> 1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 
   2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 15305] -> a^(-12) - a^(-10) - 2/a^8 + 
   a^(-6) + 2/a^4 + z^2/a^12 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 15306] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15307] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   22*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 7*a^2*z^2 - 27*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15308] -> -4 + a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + 
   3*a^2 - 9*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + 2*a^2*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 15309] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 14*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 
   24*a^4*z^2 + 8*a^6*z^2 - 12*z^4 + z^4/a^2 + 30*a^2*z^4 - 33*a^4*z^4 + 
   9*a^6*z^4 - 3*z^6 + 16*a^2*z^6 - 21*a^4*z^6 + 5*a^6*z^6 + 3*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, Alternating, 15310] -> 
  2 + a^(-4) - 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15311] -> 
  -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 15312] -> 
  -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15313] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (8*z^2)/a^8 - (9*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 + (10*z^4)/a^8 - (18*z^4)/a^6 - (18*z^4)/a^4 + (10*z^4)/a^2 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15314] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15315] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 + z^2/a^8 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 15316] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 3*z^2 + 
   z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + z^6 + z^6/a^8 - z^6/a^6 - (13*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15317] -> -6 + 2/a^6 - 3/a^4 + 4/a^2 + 4*a^2 - 
   19*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15318] -> 
  -2 + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 2*a^4 - 2*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15319] -> 
  -1 + a^(-2) + a^2 - 11*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15320] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 - (7*z^2)/a^6 + (13*z^2)/a^4 + z^2/a^2 - 
   5*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 15321] -> 
  2 - a^(-6) + a^(-4) - a^2 + z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 15322] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + (9*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + 
   (5*z^4)/a^4 - z^4/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 15323] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15324] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 15325] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15326] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 - 
   (2*z^2)/a^8 - z^2/a^6 + (12*z^2)/a^4 - (7*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (12*z^4)/a^4 - (3*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 15327] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15328] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 15329] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - z^2/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 15330] -> 4 + 3/a^4 - 6/a^2 + 16*z^2 + (16*z^2)/a^4 - 
   (35*z^2)/a^2 + 29*z^4 + (29*z^4)/a^4 - (74*z^4)/a^2 + 23*z^6 + 
   (23*z^6)/a^4 - (75*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - (39*z^8)/a^2 + z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 15331] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 + (9*z^2)/a^4 - (15*z^2)/a^2 + 
   5*a^2*z^2 - 9*z^4 + (12*z^4)/a^4 - (25*z^4)/a^2 + 8*a^2*z^4 - 12*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 15332] -> 
  5 + 4/a^4 - 8/a^2 + 11*z^2 + (3*z^2)/a^6 + (5*z^2)/a^4 - (23*z^2)/a^2 + 
   12*z^4 + (7*z^4)/a^6 - (5*z^4)/a^4 - (28*z^4)/a^2 + 6*z^6 + (5*z^6)/a^6 - 
   (11*z^6)/a^4 - (19*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (7*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[14, Alternating, 15333] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 2*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 15334] -> 
  -6 + a^(-4) + 2/a^2 + 4*a^2 - 23*z^2 + (5*z^2)/a^4 + z^2/a^2 + 12*a^2*z^2 - 
   30*z^4 + (8*z^4)/a^4 - (8*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 + (5*z^6)/a^4 - 
   (12*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 15335] -> 
  -5 + 2/a^4 + 4*a^2 - 10*z^2 + z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 
   6*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 + z^4/a^4 - (12*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 15336] -> 
  -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 4*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 15337] -> 
  -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - 4*z^2 + z^2/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 15338] -> 1 - 8*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15339] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 15340] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 20*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15341] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 23*z^2 + (8*z^2)/a^2 + 24*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 34*z^4 + (10*z^4)/a^2 + 29*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 15342] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (14*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (13*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 15343] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15344] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15345] -> 
  1 + z^2 + z^2/a^10 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 15346] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 6*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15347] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 15348] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 5*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 15349] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 12*z^2 + 
   (8*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (9*z^4)/a^6 - (33*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15350] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15351] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15352] -> -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (28*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15353] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 19*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 24*a^2*z^4 - 7*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15354] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   z^2/a^4 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 15355] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 15356] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 15*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 21*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 15357] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 + 7*a^2*z^2 - 18*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 18*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15358] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15359] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 15360] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 15361] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - (2*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15362] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 - 
   z^2/a^4 - 2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 15363] -> -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (18*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15364] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15365] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15366] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6, Knot[14, Alternating, 15367] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15368] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 - a^4*z^2 + 
   20*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 23*a^6*z^4 - 8*a^8*z^4 - 
   a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 15369] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 22*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 15370] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15371] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 15372] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 15373] -> 1 + 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15374] -> 
  2*a^2 - a^4 - 2*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15375] -> 4*a^6 - 3*a^8 - z^2 + 4*a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 - z^4 + 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 15376] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15377] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15378] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (18*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15379] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15380] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 + z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15381] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + 
   (17*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15382] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2, 
 Knot[14, Alternating, 15383] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 15384] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15385] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 15386] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (10*z^4)/a^2 - 2*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15387] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 
   23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15388] -> -3 + 8*a^2 - 4*a^4 - 9*z^2 + z^2/a^2 + 
   21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   12*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15389] -> -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15390] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 + z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15391] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   13*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15392] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 + 
   z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15393] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 - 2*a^2*z^4 - a^4*z^4 + 18*a^6*z^4 - 5*a^8*z^4 - 
   a^10*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 15394] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 20*a^2*z^2 + 48*a^4*z^2 - 21*a^6*z^2 - 
   33*a^2*z^4 + 87*a^4*z^4 - 33*a^6*z^4 - 24*a^2*z^6 + 81*a^4*z^6 - 
   24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 15395] -> 
  -1 + 6*a^4 - 4*a^6 - 5*z^2 + 23*a^4*z^2 - 12*a^6*z^2 - 8*z^4 + 8*a^2*z^4 + 
   30*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15396] -> -3*a^2 + 9*a^4 - 5*a^6 - 4*z^2 - 3*a^2*z^2 + 
   25*a^4*z^2 - 12*a^6*z^2 - 8*z^4 + 7*a^2*z^4 + 30*a^4*z^4 - 13*a^6*z^4 - 
   5*z^6 + 12*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15397] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 - z^2/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 
   6*a^6*z^2 - z^4 - (2*z^4)/a^2 + 12*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 15398] -> 2 + 2/a^6 - 3/a^4 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15399] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 4*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 2*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15400] -> 2 + 2/a^6 - 3/a^4 - 2*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (22*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15401] -> 3*a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 
   4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15402] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15403] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 24*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15404] -> 
  -1 + 4*a^2 - 2*a^4 - 10*z^2 + z^2/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 15*a^4*z^4 + 2*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 19*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15405] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + 11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15406] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15407] -> -2/a^6 + 3/a^4 + (12*z^2)/a^8 - 
   (25*z^2)/a^6 + (16*z^2)/a^4 + (28*z^4)/a^8 - (68*z^4)/a^6 + (29*z^4)/a^4 + 
   (23*z^6)/a^8 - (74*z^6)/a^6 + (23*z^6)/a^4 + (8*z^8)/a^8 - (39*z^8)/a^6 + 
   (8*z^8)/a^4 + z^10/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[14, Alternating, 15408] -> a^(-8) - 4/a^6 + 4/a^4 + (9*z^2)/a^8 - 
   (17*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 + (12*z^4)/a^8 - (26*z^4)/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^8 - (19*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 15409] -> -a^(-6) + a^(-4) + a^(-2) + 
   (8*z^2)/a^8 - (12*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 + (12*z^4)/a^8 - 
   (24*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^8 - (19*z^6)/a^6 - 
   (12*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15410] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + (5*z^2)/a^8 - (6*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   (11*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15411] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (7*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^2 + (9*z^4)/a^8 - (19*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 15412] -> -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + 
   2*a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + 9*a^2*z^4 + 22*a^4*z^4 - 
   10*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15413] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + 
   5*a^2*z^2 + 15*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + 10*a^2*z^4 + 22*a^4*z^4 - 
   10*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15414] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2/a^2 + 
   5*a^4*z^2 - a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 15415] -> -2 + a^(-4) + 2*a^2 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15416] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 4*a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15417] -> a^(-8) - 2/a^6 + 2/a^2 + (7*z^2)/a^8 - 
   (12*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + (9*z^4)/a^8 - (20*z^4)/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 15418] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15419] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 2*a^2*z^2 + 
   13*a^4*z^2 - 7*a^6*z^2 - 8*z^4 + 11*a^2*z^4 + 17*a^4*z^4 - 9*a^6*z^4 - 
   5*z^6 + 13*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15420] -> 
  3*a^4 - 2*a^6 - 2*z^2 - z^2/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   (2*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15421] -> a^2 + a^4 - a^6 - 4*z^2 + 7*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 7*a^4*z^4 + 
   9*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15422] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15423] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (18*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15424] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15425] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15426] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 15427] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 + 
   (4*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   25*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15428] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   14*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 
   26*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15429] -> -a^(-4) + 2/a^2 + (6*z^2)/a^8 - 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + (9*z^4)/a^8 - (17*z^4)/a^6 - 
   (11*z^4)/a^4 + (7*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 15430] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15431] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15432] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^8 - 
   (15*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15433] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 - 
   z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15434] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 17*z^2 - (10*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   24*z^4 - (10*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 16*z^6 - (5*z^6)/a^2 + 
   9*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 15435] -> 5 - a^(-4) - a^(-2) - a^2 - 
   a^4 + 11*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   12*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 15436] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (5*z^2)/a^14 - (9*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^4)/a^14 - z^4/a^12 + (22*z^4)/a^10 + (12*z^4)/a^8 + 
   (3*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 15437] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 7*z^2 + 
   20*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 26*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15438] -> 2 - a^(-2) + a^4 - a^6 + 6*z^2 - 
   (3*z^2)/a^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 7*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 15439] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^6 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   3*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 15440] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 
   4*a^2*z^2 + 16*a^4*z^2 - 9*a^6*z^2 - 6*z^4 + 7*a^2*z^4 + 23*a^4*z^4 - 
   10*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15441] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 - 
   (2*z^2)/a^2 + 6*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + z^4 - (2*z^4)/a^2 + 
   10*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15442] -> -3 + 8*a^2 - 4*a^4 - 14*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   27*a^2*z^4 - 7*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 4*a^4*z^6 - 
   3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15443] -> 
  4 - 2/a^2 - a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15444] -> 2 - a^(-4) + a^(-2) - a^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 15445] -> 
  2*a^2 - a^4 - 5*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   7*z^4 + z^4/a^4 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 15446] -> 
  2 - a^(-2) + a^2 - a^4 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - 9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 15447] -> 3*a^4 - 2*a^6 + z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15448] -> 
  2*a^2 - a^4 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 15449] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^4 + a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 15450] -> a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15451] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (6*z^2)/a^12 - (16*z^2)/a^10 + (6*z^2)/a^8 + (9*z^2)/a^6 + (8*z^4)/a^12 - 
   (16*z^4)/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^12 - 
   (13*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 15452] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15453] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + 9*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 - 
   9*z^4 + 16*a^2*z^4 + 16*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 
   14*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15454] -> 
  3*a^4 - 2*a^6 - z^2 - (2*z^2)/a^2 + 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 
   z^4 - (2*z^4)/a^2 + 10*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15455] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^8 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - (10*z^6)/a^4 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15456] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 - z^4/a^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15457] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15458] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 
   6*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15459] -> -a^(-4) + 2/a^2 + (4*z^2)/a^8 - 
   (12*z^2)/a^4 + (9*z^2)/a^2 + (8*z^4)/a^8 - (8*z^4)/a^6 - (24*z^4)/a^4 + 
   (12*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15460] -> a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15461] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (6*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15462] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + 16*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 25*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15463] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + (6*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + 
   7*z^4 + (8*z^4)/a^6 - (15*z^4)/a^4 - (9*z^4)/a^2 + 5*z^6 + (5*z^6)/a^6 - 
   (13*z^6)/a^4 - (12*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[14, Alternating, 15464] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 + (3*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 15465] -> 
  2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + z^4/a^10 - 
   (15*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15466] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 25*a^2*z^4 - 7*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15467] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15468] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 
   5*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 
   5*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15469] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 5*a^10*z^2 - z^4 - 
   2*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 8*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   4*a^6*z^6, Knot[14, Alternating, 15470] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 
   2*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15471] -> -2 + 2/a^2 + a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15472] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 10*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 15473] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 6*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 15474] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 15475] -> 3/a^8 - 8/a^6 + 6/a^4 + (8*z^2)/a^8 - 
   (19*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 + (9*z^4)/a^8 - (22*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 15476] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15477] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15478] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15479] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 
   2*a^4*z^2 + 12*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 11*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 15480] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 12*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15481] -> a^(-2) - a^2 + a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15482] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15483] -> 2*a^2 - a^4 + z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   (2*z^4)/a^2 + 10*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 15484] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + a^4*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15485] -> a^2 + a^4 - a^6 - 2*z^2 - 
   z^2/a^2 + 6*a^2*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 15486] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - (6*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15487] -> 
  3/a^12 - 8/a^10 + 5/a^8 + a^(-4) + (5*z^2)/a^12 - (15*z^2)/a^10 + 
   (11*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (11*z^4)/a^10 + 
   (5*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15488] -> 2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (5*z^2)/a^10 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15489] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 15490] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15491] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 6*z^2 + 
   15*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15492] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15493] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 2*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15494] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + a^2*z^2 - 
   3*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 6*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 15495] -> 1 + 4*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^2 + 4*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 - 
   (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15496] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 15497] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15498] -> 
  1 + a^2 - 2*a^4 + a^6 + 4*z^2 - (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 7*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15499] -> 3/a^12 - 6/a^10 + 4/a^6 + (6*z^2)/a^12 - 
   (13*z^2)/a^10 - (2*z^2)/a^8 + (12*z^2)/a^6 + (8*z^4)/a^12 - 
   (15*z^4)/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 + (5*z^6)/a^12 - 
   (13*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 15500] -> 2/a^12 - 4/a^10 + a^(-8) + 2/a^4 + 
   (3*z^2)/a^12 - (6*z^2)/a^10 + (5*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15501] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15502] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15503] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 + (7*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (9*z^4)/a^6 - (32*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15504] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15505] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + 2*a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 + a^2*z^4 - 5*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 15506] -> 2*a^2 - a^4 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 15507] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 + (5*z^4)/a^8 - (2*z^4)/a^6 - (24*z^4)/a^4 + (10*z^4)/a^2 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15508] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 17*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (6*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15509] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15510] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 15511] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15512] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 7*z^4 + z^4/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15513] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (13*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15514] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 28*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 32*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15515] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   11*z^2 + z^2/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   10*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15516] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15517] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 
   5/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - 
   (13*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15518] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + a^2*z^2 - 6*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - a^2*z^4 - 8*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 15519] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - 
   a^8 - z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 15520] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + 
   (8*z^2)/a^8 - (17*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + (9*z^4)/a^8 - 
   (21*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15521] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^2 + 
   2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15522] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (20*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15523] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15524] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15525] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15526] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15527] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 18*z^2 + 
   (6*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (7*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15528] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15529] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^8 - (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (9*z^2)/a^2 + (9*z^4)/a^8 - (13*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15530] -> 3/a^12 - 7/a^10 + 3/a^8 + a^(-6) + a^(-4) + 
   (4*z^2)/a^12 - (11*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15531] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + z^4/a^10 - 
   (13*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15532] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15533] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 13*z^2 + (8*z^2)/a^6 - (23*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (9*z^4)/a^6 - (33*z^4)/a^4 + 
   (29*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (21*z^6)/a^4 + 
   (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15534] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15535] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15536] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15537] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 
   13*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 22*a^2*z^4 - 
   23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15538] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (6*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15539] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15540] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15541] -> 3/a^12 - 7/a^10 + 4/a^8 - a^(-6) + 2/a^4 + 
   (5*z^2)/a^12 - (14*z^2)/a^10 + (9*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (11*z^4)/a^10 + (4*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 15542] -> 
  2/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 + 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 15543] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + 
   a^4 + 2*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15544] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 15545] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 15546] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 
   z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15547] -> 
  a^2 + a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   6*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15548] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15549] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15550] -> 
  a^(-2) - a^2 + a^4 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15551] -> a^(-6) - a^(-4) + a^2 - 2*z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 15552] -> 3/a^12 - 4/a^10 - 4/a^8 + 6/a^6 + 
   (10*z^2)/a^12 - (16*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 + 
   (12*z^4)/a^12 - (23*z^4)/a^10 - (18*z^4)/a^8 + (17*z^4)/a^6 + 
   (6*z^6)/a^12 - (18*z^6)/a^10 - (17*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (7*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 15553] -> 4/a^6 - 9/a^4 + 6/a^2 + (4*z^2)/a^8 + 
   (4*z^2)/a^6 - (24*z^2)/a^4 + (13*z^2)/a^2 + (8*z^4)/a^8 - (7*z^4)/a^6 - 
   (30*z^4)/a^4 + (13*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 15554] -> 2 + a^(-8) - 2/a^4 + 3*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15555] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + 
   (10*z^2)/a^8 - (20*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + (12*z^4)/a^8 - 
   (27*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^8 - (19*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15556] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + z^2 + (5*z^2)/a^8 - (7*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   (11*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15557] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 15558] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 3*z^2 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15559] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 2*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15560] -> -1 - a^(-6) + 3/a^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15561] -> 2 - a^(-2) + a^2 - a^4 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   20*a^2*z^4 - 6*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 
   3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15562] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15563] -> 1 - 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15564] -> 
  1 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15565] -> 
  1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   z^4 - z^4/a^2 + 5*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15566] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 7*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 - z^4/a^2 + 7*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 15567] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   6*z^4 + z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15568] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 15569] -> 
  6 - 4/a^2 + 2*a^2 - 3*a^4 + 17*z^2 - (12*z^2)/a^2 + 13*a^2*z^2 - 
   11*a^4*z^2 + 25*z^4 - (13*z^4)/a^2 + 24*a^2*z^4 - 13*a^4*z^4 + 19*z^6 - 
   (6*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - z^8/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 15570] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 12*z^2 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 16*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 15571] -> 
  6 - 3/a^2 - a^2 - a^4 + 8*z^2 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 15572] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - 
   z^2/a^6 + (2*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 15573] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   z^4/a^10 + z^4/a^8 - (10*z^4)/a^6 - (11*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 15574] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + a^2*z^2 - z^4 - z^4/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2, Knot[14, Alternating, 15575] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (8*z^2)/a^8 - (5*z^2)/a^6 - (16*z^2)/a^4 + 
   (12*z^2)/a^2 + (12*z^4)/a^8 - (19*z^4)/a^6 - (25*z^4)/a^4 + (13*z^4)/a^2 + 
   (6*z^6)/a^8 - (18*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15576] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 + (5*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15577] -> -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 6*z^2 + 
   z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 3*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, Alternating, 15578] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^6 + (6*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 15579] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15580] -> 3/a^12 - 6/a^10 + a^(-8) + 2/a^6 + a^(-4) + 
   (5*z^2)/a^12 - (10*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15581] -> 
  2/a^12 - 3/a^10 - a^(-8) + a^(-6) + 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 15582] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 
   9*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 11*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 15583] -> 1 + 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15584] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 8*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (20*z^2)/a^4 + (23*z^2)/a^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15585] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15586] -> a^(-10) - 2/a^8 + 4/a^6 - 7/a^4 + 5/a^2 + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - (28*z^4)/a^4 + (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15587] -> 
  -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 27*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 9*a^2*z^2 - 35*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (28*z^4)/a^2 + 10*a^2*z^4 - 22*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15588] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15589] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15590] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 
   7*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   5*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 15591] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + 
   z^4 + z^4/a^10 - (10*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15592] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + z^4 - (2*z^4)/a^6 + 
   (12*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 15593] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 4*z^2 + (4*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 + 4*z^4 + (4*z^4)/a^8 - (4*z^4)/a^6 - (17*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15594] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + (2*z^2)/a^8 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 + z^4/a^8 - z^4/a^6 - (7*z^4)/a^4 - (7*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 15595] -> -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15596] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15597] -> 
  a^(-6) - a^(-4) + a^2 - 3*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 15598] -> 
  3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 4*a^4*z^2 + 3*a^6*z^2 - 
   5*a^8*z^2 + 11*a^10*z^2 - 5*a^12*z^2 + a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 - 
   6*a^8*z^4 + 9*a^10*z^4 - a^4*z^6 - 5*a^6*z^6 - 5*a^8*z^6, 
 Knot[14, Alternating, 15599] -> 3/a^12 - 6/a^10 + 2/a^8 + 2/a^4 + 
   (5*z^2)/a^12 - (10*z^2)/a^10 + z^2/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - 
   (7*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15600] -> 
  2/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-2) + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15601] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15602] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15603] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 22*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15604] -> -4 - 5/a^4 + 10/a^2 - 8*z^2 - z^2/a^6 - 
   (8*z^2)/a^4 + (23*z^2)/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (24*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (13*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 15605] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   6*a^2*z^4 - 16*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 15606] -> 
  -3 + a^(-2) + 8*a^2 - 8*a^4 + 3*a^6 - 12*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 
   26*a^4*z^2 + 8*a^6*z^2 - 11*z^4 + z^4/a^2 + 31*a^2*z^4 - 33*a^4*z^4 + 
   9*a^6*z^4 - 3*z^6 + 16*a^2*z^6 - 21*a^4*z^6 + 5*a^6*z^6 + 3*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, Alternating, 15607] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15608] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 + (2*z^2)/a^10 - 
   z^2/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - (10*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 + z^6/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15609] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 + (3*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - 7*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15610] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 3*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 15611] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - 
   z^2/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[14, Alternating, 15612] -> a^(-10) - 2/a^8 + 5/a^6 - 9/a^4 + 6/a^2 + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - (29*z^4)/a^4 + (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 15613] -> 
  3 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 - 2/a^2 + 4*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15614] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15615] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 15616] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 15617] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - 
   11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 15618] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 10*z^2 + z^2/a^4 + z^2/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 15619] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + z^2 + a^2*z^2 - 9*a^4*z^2 + 
   19*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 15620] -> 
  2 + 2/a^6 - 3/a^4 + 4*z^2 + (3*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15621] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15622] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 15623] -> 3/a^12 - 6/a^10 + 3/a^8 - 2/a^6 + 3/a^4 + 
   (7*z^2)/a^12 - (14*z^2)/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 + 
   (5*z^4)/a^12 - (13*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 15624] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + (3*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   16*z^4 + (8*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 15625] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 15626] -> 
  a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 
   21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 8*a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 15627] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15628] -> -2 + a^(-4) + 2*a^2 - 4*z^2 + z^2/a^8 - 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 15629] -> 3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 10*a^10*z^2 - 5*a^12*z^2 + a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 8*a^10*z^4 - a^4*z^6 - 4*a^6*z^6 - 
   4*a^8*z^6, Knot[14, Alternating, 15630] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 
   5*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^8 - (8*z^4)/a^6 - (5*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15631] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (6*z^2)/a^8 - (8*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + (8*z^4)/a^8 - 
   (14*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15632] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 - 
   z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15633] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 + z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15634] -> 
  1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 + z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 15635] -> a^(-4) - a^(-2) + a^2 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 20*z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15636] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + (8*z^2)/a^6 - (24*z^2)/a^4 + 
   (25*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (9*z^4)/a^6 - (33*z^4)/a^4 + 
   (30*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (21*z^6)/a^4 + 
   (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15637] -> 3*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 15638] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 14*z^2 + (8*z^2)/a^6 - (23*z^2)/a^4 + 
   (26*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (9*z^4)/a^6 - (33*z^4)/a^4 + 
   (30*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (21*z^6)/a^4 + 
   (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15639] -> -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 23*z^4 + (7*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15640] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15641] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 12*z^2 + 
   (8*z^2)/a^6 - (25*z^2)/a^4 + (27*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (9*z^4)/a^6 - (33*z^4)/a^4 + (31*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15642] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (7*z^2)/a^8 - (14*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 + (9*z^4)/a^8 - (20*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15643] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15644] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (20*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15645] -> 3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (24*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15646] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15647] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15648] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 15649] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 2*a^2*z^2 - 2*a^4*z^2 + 21*a^6*z^2 - 8*a^8*z^2 - 
   a^10*z^2 - 3*a^2*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 15650] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15651] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + z^4 - z^4/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15652] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (5*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + (9*z^4)/a^8 - 
   (14*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15653] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15654] -> 
  a^2 + a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 14*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 11*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 15655] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 - z^2/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 
   a^6*z^2 - 4*z^4 - (2*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + z^6 - 
   z^6/a^2 + 13*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15656] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (7*z^2)/a^10 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (4*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15657] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15658] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (12*z^4)/a^6 - 
   (15*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (13*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[14, Alternating, 15659] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15660] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 12*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15661] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15662] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - a^2*z^2 - 4*a^4*z^2 + 23*a^6*z^2 - 
   11*a^8*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 15663] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - z^4/a^6 - 
   (15*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15664] -> 1 + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + z^4/a^8 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 15665] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15666] -> -1 - a^(-4) + 3/a^2 - a^2 + 
   a^4 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15667] -> 1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15668] -> 
  1 + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 15669] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 - z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15670] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (6*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (8*z^4)/a^8 - 
   (18*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15671] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15672] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (25*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15673] -> 3/a^6 - 7/a^4 + 5/a^2 + z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15674] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15675] -> -a^(-4) + 2/a^2 - 5*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15676] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 15677] -> 
  -3 + 2/a^2 + 2*a^2 - 17*z^2 - z^2/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 
   18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15678] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[14, Alternating, 15679] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   2*z^2 - z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15680] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - z^2 - 
   a^2*z^2 + 5*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 - z^4 + 5*a^4*z^4 + 
   9*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 15681] -> 1 + a^2 - 2*a^4 + a^6 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15682] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15683] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 15684] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - z^2/a^2 + 
   6*a^2*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, Alternating, 15685] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 15686] -> 
  -1 + 3*a^2 - a^6 + z^2 - z^2/a^4 + 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6, Knot[14, Alternating, 15687] -> 
  -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^8 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   (8*z^4)/a^8 - (10*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - 
   (13*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 15688] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15689] -> 3*a^6 - a^8 - a^10 - 4*a^4*z^2 + 
   15*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 - 8*a^4*z^4 + 21*a^6*z^4 + 4*a^8*z^4 - 
   5*a^10*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 15690] -> a^4 + a^6 - a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 15691] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15692] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 13*a^6*z^4 - 
   3*a^8*z^4 - a^10*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 - a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 15693] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15694] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15695] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 + z^4/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 15696] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15697] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15698] -> 
  3*a^2 - 3*a^4 + a^6 - 8*z^2 + z^2/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 2*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 18*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15699] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15700] -> -a^(-4) + 2/a^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 15701] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15702] -> a^4 + a^6 - a^10 - 2*a^2*z^2 + 6*a^4*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[14, Alternating, 15703] -> 
  2*a^4 - a^6 + a^8 - a^10 - z^2 + a^2*z^2 + 4*a^4*z^2 + 2*a^8*z^2 - 
   a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 15704] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15705] -> 5*a^6 - 5*a^8 + a^10 - 4*a^4*z^2 + 
   18*a^6*z^2 - 9*a^8*z^2 - 8*a^4*z^4 + 22*a^6*z^4 - a^8*z^4 - 4*a^10*z^4 - 
   5*a^4*z^6 + 15*a^6*z^6 + 7*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 15706] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 2*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   4*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 15707] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 15708] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15709] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15710] -> 
  -a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (14*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (13*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[14, Alternating, 15711] -> -a^(-4) + 2/a^2 + z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15712] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15713] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + 
   (8*z^4)/a^2 - 2*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15714] -> 
  -2 - 3/a^4 + 6/a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 5*a^2*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 15715] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 15716] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - 2*a^4*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + 
   2*a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 19*a^6*z^4 - 8*a^8*z^4 - a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 15717] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 - 2*a^2*z^4 + 
   6*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 - a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   4*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 15718] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15719] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (12*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15720] -> -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15721] -> -a^(-4) + 2/a^2 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15722] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 2*a^10*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 15723] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 
   12*a^6*z^2 - 6*a^8*z^2 - 2*a^2*z^4 - a^4*z^4 + 17*a^6*z^4 - 5*a^8*z^4 - 
   a^10*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 15724] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 15725] -> a^2 + a^4 - 2*a^6 + 2*a^8 - 
   a^10 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - 
   z^4 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4 + a^8*z^4 - a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 15726] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   3*z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 15727] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 4*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - z^4 + 
   z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15728] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 15729] -> 6 - 3/a^2 - a^2 - a^4 + 16*z^2 - 
   (8*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 21*z^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + 15*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 15730] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 15731] -> -1 + 3*a^2 - a^6 - 6*z^2 + 15*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 7*z^4 + 24*a^2*z^4 - 17*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15732] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15733] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 
   3*a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + 7*a^2*z^4 + 19*a^4*z^4 - 
   9*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 15734] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - z^2/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 + z^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 15735] -> -1 + 6*a^4 - 4*a^6 - 4*z^2 + 
   a^2*z^2 + 18*a^4*z^2 - 9*a^6*z^2 - 6*z^4 + 6*a^2*z^4 + 23*a^4*z^4 - 
   10*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 15736] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15737] -> -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 - 
   z^2/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - (2*z^4)/a^2 + 10*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 15738] -> 
  a^2 + a^4 - a^6 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15739] -> 2*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   21*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 
   3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15740] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 8*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15741] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + (8*z^4)/a^8 - 
   (14*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15742] -> 
  1 + 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15743] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15744] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15745] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (5*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + (9*z^4)/a^8 - 
   (17*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15746] -> 
  -a^(-4) + 2/a^2 + z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15747] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + z^2/a^6 - (8*z^2)/a^4 + (19*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15748] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15749] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15750] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   10*z^2 + z^2/a^2 + 22*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 30*a^2*z^4 - 16*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 15751] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15752] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 + z^4 + z^4/a^8 + 
   (6*z^4)/a^6 - (20*z^4)/a^4 + (4*z^4)/a^2 + z^6 + z^6/a^8 - (11*z^6)/a^4 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15753] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 15754] -> 
  a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (13*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (13*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 15755] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15756] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 11*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + 
   (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15757] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15758] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15759] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15760] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 6*z^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 25*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15761] -> 2 - 2*a^2 + a^4 + 5*z^2 - (3*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 7*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 15762] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 
   3*z^4 - (2*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + z^6 - z^6/a^2 + 
   11*a^2*z^6 - a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15763] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 + a^2*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 15764] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15765] -> 
  -2 - a^(-8) + 4/a^2 - 5*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 + (10*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15766] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + 2*z^4 + 2*a^2*z^4 - 17*a^4*z^4 + 10*a^6*z^4 + z^6 - a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 15767] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 21*z^2 + 
   z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 + 2*a^4*z^4 - 15*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 15768] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   6*z^2 - z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15769] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + z^4/a^8 + 
   (7*z^4)/a^6 - (22*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (12*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15770] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15771] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   6*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 2*z^4 + 3*a^2*z^4 - 
   20*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 + z^6 - a^2*z^6 - 12*a^4*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 15772] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 10*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15773] -> -1 - 3/a^8 + 7/a^6 - 7/a^4 + 5/a^2 - 3*z^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (20*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (26*z^4)/a^4 + (16*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15774] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 10*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15775] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (11*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (8*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 15776] -> 2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15777] -> 
  a^(-10) - 3/a^6 + a^(-4) + 2/a^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (12*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (13*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 15778] -> 
  1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15779] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 12*z^2 + 
   (4*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15780] -> -4 + 3/a^6 - 7/a^4 + 7/a^2 + 2*a^2 - 
   13*z^2 + (9*z^2)/a^6 - (26*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (9*z^4)/a^6 - (34*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15781] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15782] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 17*a^2*z^2 - 18*a^4*z^2 + 
   14*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15783] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (12*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15784] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   13*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15785] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 5*z^2 + 16*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   23*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15786] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   7*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   7*z^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15787] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15788] -> 1 + 2/a^6 - 3/a^4 + a^(-2) - a^2 + a^4 + 
   2*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15789] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15790] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15791] -> 
  1 + a^2 - 2*a^4 + a^6 - 5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15792] -> 
  2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15793] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (17*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (23*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15794] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15795] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 8*z^2 + z^2/a^4 + (3*z^2)/a^2 + 
   4*a^4*z^2 - 8*z^4 + z^4/a^4 + z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 
   4*z^6 - z^6/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 15796] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15797] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 - z^2/a^4 - a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 15798] -> -2 + a^(-2) + 3*a^2 - a^4 - 16*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15799] -> 2 - a^2 - a^4 + a^6 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 15800] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (15*z^2)/a^2 - 
   9*z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 15801] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + z^2 + 7*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + 4*a^2*z^4 - 22*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 + z^6 - 
   a^2*z^6 - 13*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 15802] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15803] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 7*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 15804] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 7*z^2 - (2*z^2)/a^2 + 22*a^2*z^2 - 
   10*a^4*z^2 + 4*z^4 - (7*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + 11*z^6 - 
   (5*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 15805] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 6*z^2 - (6*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 15806] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^8 + 
   (2*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 15807] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   (4*z^4)/a^4 + 8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 15808] -> 2/a^12 - 4/a^10 + a^(-8) + 2/a^4 + 
   (5*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (9*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 15809] -> 
  a^(-12) - a^(-10) - 2/a^8 + 2/a^6 + a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - z^4/a^10 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 15810] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 12*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   17*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15811] -> 
  1 + a^(-10) - 2/a^6 + a^(-2) + 2*z^2 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15812] -> 
  2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15813] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + 
   a^2 + a^4 - 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15814] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + z^2/a^6 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 + a^4*z^4 - z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 15815] -> a^(-8) - a^(-6) + a^(-2) - 
   2*a^2 + 2*a^4 + 3*z^2 - (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 + (6*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, Alternating, 15816] -> 2 - a^2 - a^4 + a^6 - 3*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   10*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15817] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15818] -> a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + a^2*z^2 - z^4 + z^4/a^8 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 15819] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 15820] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15821] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 15822] -> 
  2*a^2 - a^4 + z^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + a^10*z^2 + z^4 - 
   2*a^2*z^4 - 5*a^4*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 15823] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15824] -> 
  2 - a^(-2) + a^2 - a^4 + 8*z^2 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   12*z^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + 10*z^6 - (4*z^6)/a^2 + 
   9*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 15825] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 15826] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + (4*z^2)/a^12 - (6*z^2)/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (11*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15827] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 15828] -> a^(-10) + a^(-8) - 4/a^6 + 3/a^2 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + 
   (5*z^4)/a^10 - (17*z^4)/a^8 + (6*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 15829] -> 1 + a^(-10) - a^(-6) - 2/a^4 + 2/a^2 + 
   2*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15830] -> 2 + a^(-10) - a^(-8) + 2/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15831] -> 1 + a^(-10) - a^(-8) + a^(-6) - a^(-4) - 
   a^(-2) + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, Alternating, 15832] -> 
  -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*a^4 - 6*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 15833] -> 
  -2 + a^(-8) - a^(-6) + 2/a^2 - a^2 + 2*a^4 - 5*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 2*z^4 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 15834] -> 1 + a^4 - 2*a^6 + a^8 - z^2 + a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 15835] -> -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15836] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - z^4/a^6 - (16*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15837] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + z^4/a^8 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 15838] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 10*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 15839] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 
   3*a^2 - 14*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   17*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15840] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15841] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - z^2/a^2 + 5*a^4*z^2 - a^8*z^2 - z^4/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 15842] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 12*z^2 + 
   (5*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   12*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15843] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 3*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15844] -> a^2 + a^6 - a^8 - 2*z^2 + a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 10*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 15845] -> 
  1 - a^2 + a^4 + a^6 - a^8 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 15846] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 15847] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 7*z^2 + z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15848] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   10*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 15849] -> 2 + a^(-4) - a^(-2) - 2*a^2 + 
   a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 15850] -> 3*a^2 - 4*a^4 + 2*a^6 + a^8 - a^10 + 2*z^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 3*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, Alternating, 15851] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 5*a^4*z^2 + 3*a^6*z^2 + a^10*z^2 - 
   2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[14, Alternating, 15852] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   2*z^2 + (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15853] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15854] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - (6*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 
   7*z^4 - (9*z^4)/a^6 + (17*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 15855] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 11*z^2 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + (5*z^4)/a^6 - (21*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15856] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 2*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - 3*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 15857] -> 
  -1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) + 2*a^2 - 6*z^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 - z^2/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 15858] -> 
  a^(-8) - a^(-6) + a^(-4) - a^(-2) + a^4 - 2*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 15859] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - (4*z^2)/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + 11*z^4 - (8*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 15860] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 5*z^2 - z^2/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + 5*a^2*z^4 - 3*a^4*z^4 + 
   7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 15861] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15862] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 - z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 15863] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 + 
   (3*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 16*z^4 + (8*z^4)/a^4 - (10*z^4)/a^2 + 
   9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 15864] -> a^(-2) - a^2 + a^4 - 5*z^2 + (2*z^2)/a^4 - 
   a^2*z^2 + 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 15865] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15866] -> 2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15867] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + (3*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   10*z^4 + (6*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 15868] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 + (6*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 
   7*z^4 + (9*z^4)/a^4 - (18*z^4)/a^2 + 6*a^2*z^4 - 9*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 15869] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 15870] -> 
  2 - a^(-8) - a^(-6) + 4/a^4 - 2/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15871] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 16*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   14*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15872] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 15873] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   2*z^2 + z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 15874] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15875] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 - (9*z^4)/a^6 + 
   (15*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 15876] -> 2 - a^(-6) + a^(-4) - a^2 + 
   2*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 15877] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 8*z^4 + z^4/a^4 + 
   z^4/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^2 - 4*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 15878] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 
   6*z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15879] -> 2 + a^(-8) - a^(-6) + a^(-4) - 
   2/a^2 - a^2 + a^4 + 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, Alternating, 15880] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 5*z^2 - 
   (2*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 3*z^4 - (5*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + 8*z^6 - (4*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 15881] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   4*z^2 - z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 15882] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 15883] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 15884] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15885] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 10*a^2*z^2 - 16*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 23*a^4*z^4 + 15*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15886] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 15887] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + z^2 - (2*z^2)/a^4 + 4*a^2*z^2 - 3*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15888] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 5*z^2 - 
   4*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 + 8*z^4 - 13*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 + 5*z^6 - 13*a^2*z^6 - 13*a^4*z^6 + 5*a^6*z^6 + z^8 - 
   6*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 15889] -> a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (6*z^4)/a^4 - (11*z^4)/a^2 + 5*a^2*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 15890] -> 
  2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15891] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (15*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (19*z^4)/a^4 + (16*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 15892] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15893] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 15894] -> a^2 + a^4 - a^6 + z^2 + a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - 
   5*a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 15895] -> 2*a^6 + a^8 - 2*a^10 + 3*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - a^12*z^2 + a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 + a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 
   4*a^8*z^6 - a^10*z^6, Knot[14, Alternating, 15896] -> 
  2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 + z^2 + 5*a^2*z^2 - 5*a^4*z^2 - 
   6*a^6*z^2 + 8*a^8*z^2 + z^4 + a^2*z^4 - 9*a^4*z^4 - 9*a^6*z^4 + 
   2*a^8*z^4 + a^10*z^4 - a^2*z^6 - 4*a^4*z^6 - 4*a^6*z^6 - a^8*z^6, 
 Knot[14, Alternating, 15897] -> 3 + 2/a^6 - 3/a^4 - 2*a^2 + a^4 + 4*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15898] -> 1 + a^(-8) - a^(-6) - a^2 + a^4 - z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 15899] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 + 2*z^2 - 
   (3*z^2)/a^2 + 7*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - (4*z^4)/a^2 + 3*a^2*z^4 + 
   8*a^4*z^4 - 4*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 15900] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 + 2*z^2 - z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 + 
   4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 15901] -> -1 + a^(-2) + 2*a^4 - a^6 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 15902] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 15903] -> 
  2 - a^2 - a^4 + a^6 + z^2 + z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15904] -> -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15905] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 15906] -> 
  3 - 3*a^2 + a^6 + z^2 + (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 11*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15907] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 15908] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 + z^4 - z^4/a^2 - 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 15909] -> -2/a^6 + 3/a^4 - 4*z^2 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 - (8*z^4)/a^6 + (13*z^4)/a^4 + 
   (12*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 15910] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 15911] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 5*z^2 - 
   (5*z^2)/a^6 + (14*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (4*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 15912] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 15913] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 - z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 - z^6/a^6 + (12*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[14, Alternating, 15914] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   10*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15915] -> -8 + 4/a^2 + 6*a^2 - a^4 - 23*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 15916] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 15917] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + 
   z^2/a^4 - z^2/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 15918] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^10 - (4*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 15919] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   9*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 15920] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   24*a^2*z^4 - 7*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 4*a^4*z^6 - 
   3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 15921] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*z^6 + a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15922] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15923] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 15924] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15925] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   2*z^2 + z^2/a^2 - a^2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 
   z^4/a^2 - 5*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - z^6 - 3*a^2*z^6 - 
   4*a^4*z^6, Knot[14, Alternating, 15926] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   z^2 - z^2/a^2 + 8*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15927] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 5*a^10*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - 8*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6, 
 Knot[14, Alternating, 15928] -> 1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   3*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 15929] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   z^2/a^16 - (9*z^2)/a^14 - (2*z^2)/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 - 
   (5*z^4)/a^14 + (7*z^4)/a^12 + (21*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 15930] -> a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - 
   (13*z^2)/a^8 + (14*z^2)/a^6 + (2*z^4)/a^12 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15931] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (9*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15932] -> a^(-16) - 3/a^14 + a^(-10) + 
   2/a^8 - (5*z^2)/a^14 + z^2/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 15933] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15934] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - (2*z^2)/a^10 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15935] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 15936] -> 2 + a^(-4) - 2/a^2 - 2*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15937] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - z^4/a^8 - z^4/a^6 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15938] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15939] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (9*z^2)/a^12 + (25*z^2)/a^10 + (3*z^2)/a^8 - (5*z^4)/a^14 + (2*z^4)/a^12 + 
   (28*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + (4*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 15940] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (14*z^2)/a^8 + (14*z^2)/a^6 + (2*z^4)/a^12 + (5*z^4)/a^10 - (17*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15941] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^10 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15942] -> 
  2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 
   2*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15943] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 6*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   2*z^6 + a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 15944] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - 
   2*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 - z^4 - 
   2*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 9*a^8*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6, Knot[14, Alternating, 15945] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^6 + (2*z^2)/a^4 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 15946] -> 
  -3/a^8 + 4/a^6 + (3*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 15947] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (18*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 15948] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 15949] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^6 + 
   z^2/a^2 - 4*a^2*z^2 - 3*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 15950] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 8*z^2 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15951] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 15952] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - z^4 - 
   z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15953] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15954] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   z^2 - z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4/a^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 15955] -> 
  -3 - 4/a^4 + 8/a^2 - 8*z^2 + z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 15956] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (5*z^2)/a^12 - (9*z^2)/a^10 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 + (8*z^4)/a^12 - (14*z^4)/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 + (5*z^6)/a^12 - (13*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 15957] -> -a^(-8) + 2/a^4 + (2*z^2)/a^12 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15958] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   5*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15959] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (7*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   z^6/a^8 + z^6/a^6 - (9*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15960] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 15*z^2 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15961] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 - z^2/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 18*a^2*z^4 - 
   10*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15962] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*z^2 + 
   2*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   5*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 9*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15963] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15964] -> -2/a^8 + 2/a^6 + a^(-4) + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15965] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15966] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15967] -> a^4 + 2*a^8 - 2*a^10 - a^2*z^2 + 
   2*a^4*z^2 + 5*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   8*a^6*z^4 + 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 15968] -> 2 - a^(-2) + a^2 - a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15969] -> -a^(-4) + 2/a^2 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6 + z^6/a^8 - (10*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 15970] -> a^(-4) - a^(-2) + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15971] -> 2*a^4 - a^8 + a^2*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 7*a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15972] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 15973] -> 
  3 - a^(-4) - a^4 - (3*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   8*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 15974] -> 
  3*a^4 - 2*a^6 - z^2/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 15975] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   11*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15976] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + z^2/a^16 - (8*z^2)/a^14 - (5*z^2)/a^12 + (22*z^2)/a^10 + 
   (4*z^2)/a^8 - (5*z^4)/a^14 + (4*z^4)/a^12 + (25*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + (4*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 15977] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 15978] -> 1 - a^2 + a^4 + a^6 - a^8 - a^2*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 8*a^4*z^4 + 11*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 7*a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15979] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 + 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 15980] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   10*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 15981] -> -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15982] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - 
   2*a^2 + 2*a^4 + z^2 + z^2/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 15983] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + 
   (6*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15984] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - 
   (10*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^10 - (5*z^4)/a^8 + 
   (21*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (11*z^6)/a^6 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 15985] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15986] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - 7*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 15987] -> -2/a^8 + 5/a^6 - 3/a^4 + a^2 + z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15988] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 
   14*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - z^6 + 7*a^2*z^6 - 11*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 15989] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 15990] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + (5*z^2)/a^12 - (13*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - (11*z^4)/a^10 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[14, Alternating, 15991] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-2) + 
   (2*z^2)/a^12 - (3*z^2)/a^10 + z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 15992] -> 
  3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 15993] -> -a^(-4) + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 15994] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 15995] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 3*a^2*z^4 - 12*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   6*a^2*z^6 - 11*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 15996] -> 
  a^2 + a^4 - a^6 - 3*z^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 15997] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 15998] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   2*a^4*z^4 + 3*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - a^2*z^6 + 4*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, Alternating, 15999] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 + a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + z^4 - a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + z^6 - 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16000] -> -1 + 2*a^2 + a^4 - a^8 - z^2 - z^2/a^2 + 
   6*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16001] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 + (7*z^4)/a^12 - 
   (11*z^4)/a^10 - (5*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 16002] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 16003] -> 
  a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16004] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16005] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 + (4*z^4)/a^8 + (2*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 + 
   (4*z^6)/a^8 - (7*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16006] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16007] -> 
  a^6 + 3*a^8 - 3*a^10 - 4*a^4*z^2 + 10*a^6*z^2 + 11*a^8*z^2 - 8*a^10*z^2 - 
   8*a^4*z^4 + 17*a^6*z^4 + 17*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 
   14*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 16008] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 + 
   7*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 8*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16009] -> 
  2*a^6 + a^8 - 2*a^10 - 4*a^4*z^2 + 11*a^6*z^2 + 8*a^8*z^2 - 7*a^10*z^2 - 
   8*a^4*z^4 + 17*a^6*z^4 + 16*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 
   14*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 16010] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 8*a^8*z^2 - 
   4*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 7*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16011] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 2*z^2 - 5*a^2*z^2 + 23*a^4*z^2 - 10*a^6*z^2 - 
   5*z^4 + 2*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16012] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 - z^2/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 - (2*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16013] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6, Knot[14, Alternating, 16014] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 16015] -> 
  2*a^6 + a^8 - 2*a^10 + 3*a^6*z^2 + 12*a^8*z^2 - 7*a^10*z^2 - 4*a^4*z^4 + 
   5*a^6*z^4 + 20*a^8*z^4 - 9*a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 15*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 16016] -> a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 
   4*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 8*a^6*z^4 + 4*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16017] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (12*z^2)/a^6 - (19*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + (6*z^4)/a^6 - (25*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16018] -> 
  3*a^4 - 2*a^6 - 2*z^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   10*a^2*z^4 - 2*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 - 
   z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16019] -> -2*a^2 + 7*a^4 - 4*a^6 - 2*z^2 - 3*a^2*z^2 + 
   18*a^4*z^2 - 8*a^6*z^2 - 5*z^4 + 3*a^2*z^4 + 21*a^4*z^4 - 9*a^6*z^4 - 
   4*z^6 + 8*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16020] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2/a^2 + 9*a^4*z^2 - 4*a^6*z^2 + z^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16021] -> -2/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 16022] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (8*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16023] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16024] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16025] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16026] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - z^4 + 4*a^2*z^4 - 16*a^4*z^4 + 
   13*a^6*z^4 - 3*a^8*z^4 - z^6 + 6*a^2*z^6 - 12*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16027] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*a^2*z^2 - 
   7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 13*a^4*z^4 + 
   12*a^6*z^4 - 3*a^8*z^4 - z^6 + 7*a^2*z^6 - 11*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16028] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   17*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16029] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - (3*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 16030] -> 
  3*a^6 - a^8 - a^10 - a^4*z^2 + 6*a^6*z^2 + 8*a^8*z^2 - 6*a^10*z^2 - 
   4*a^4*z^4 + 7*a^6*z^4 + 17*a^8*z^4 - 8*a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 
   14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 16031] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - a^2*z^2 + 4*a^4*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16032] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 
   8*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^2*z^4 + 5*a^6*z^4 - 12*a^8*z^4 + 
   4*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 16033] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 + (9*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + 
   z^4/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 16034] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   a^4*z^2 - 5*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16035] -> a^2 + a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16036] -> 
  -7 + 2/a^6 - 4/a^4 + 6/a^2 + 4*a^2 - 18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16037] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*a^4 - 
   4*z^2 + z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16038] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 29*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 16039] -> -6 + a^(-4) + a^(-2) + 7*a^2 - 
   2*a^4 - 22*z^2 - z^2/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16040] -> a^2 + a^6 - a^8 + 4*a^2*z^2 - 
   6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 + 4*a^2*z^4 - 13*a^4*z^4 + 
   5*a^6*z^4 + a^8*z^4 + z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[14, Alternating, 16041] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + 
   a^10 + z^2 + 3*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   z^4 - 12*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - a^2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 16042] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (15*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 16043] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + (3*z^2)/a^12 - (9*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (5*z^4)/a^10 - 
   (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16044] -> -4 + 2/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16045] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + z^4/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16046] -> 
  -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   2*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 13*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16047] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 9*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16048] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + 
   (4*z^2)/a^12 - (13*z^2)/a^10 + (13*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (10*z^4)/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 16049] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (4*z^2)/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 16050] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   5*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 16051] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 + z^2/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 13*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16052] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 16053] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16054] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 16055] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 13*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16056] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16057] -> 3*a^6 - a^8 - a^10 - z^2 + a^2*z^2 + 
   a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - a^10*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 - a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 16058] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   24*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16059] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16060] -> 
  -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 16*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 16061] -> a^4 + a^6 - a^10 - z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 - a^10*z^2 - z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 
   a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 16062] -> 1 + 3*z^2 + z^2/a^6 - (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16063] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   22*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16064] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 + 
   12*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 12*a^6*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16065] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16066] -> 3*a^2 - 3*a^4 + a^6 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 16067] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16068] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   18*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16069] -> a^2 + a^6 - a^8 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16070] -> 
  3*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16071] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 16072] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 12*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16073] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (12*z^4)/a^2 - 2*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16074] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   15*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 29*a^2*z^4 - 14*a^4*z^4 + 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 16075] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 16076] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   14*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16077] -> -3 + 7*a^2 - 2*a^4 - a^6 - 8*z^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 - 5*z^4 - (2*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 2*a^6*z^4 + z^6 - z^6/a^2 + 13*a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16078] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 16079] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16080] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16081] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - z^2/a^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 16082] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 15*a^2*z^2 - 22*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 27*a^4*z^4 + 16*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16083] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16084] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16085] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 22*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 30*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16086] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2 + (11*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (23*z^4)/a^4 + (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16087] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16088] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   16*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16089] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 
   15*a^4*z^2 + 4*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16090] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16091] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16092] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (7*z^2)/a^14 - (7*z^2)/a^12 + (20*z^2)/a^10 + 
   (5*z^2)/a^8 - (5*z^4)/a^14 + (3*z^4)/a^12 + (24*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + (4*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16093] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16094] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16095] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   13*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 29*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 16096] -> -4 + a^(-6) - 4/a^4 + 7/a^2 + 
   a^4 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16097] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 16098] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 3*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16099] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (2*z^2)/a^4 - z^4/a^10 - (3*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 16100] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16101] -> -3 + a^(-4) + 4*a^2 - a^4 - 
   9*z^2 + z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16102] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 - z^2 - 
   a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 
   4*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16103] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16104] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 16105] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 
   2*z^2 + 5*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + 
   2*a^2*z^4 - 21*a^4*z^4 + 8*a^6*z^4 + a^8*z^4 + z^6 - a^2*z^6 - 
   12*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 16106] -> a^2 + a^6 - a^8 - z^2 - z^2/a^2 + 
   4*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16107] -> -4 - 3/a^4 + 7/a^2 + a^2 - 11*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16108] -> -2/a^8 + 2/a^6 + a^(-4) - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 - z^4/a^10 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16109] -> 
  -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16110] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 16111] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16112] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16113] -> -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^2 - 8*z^4 - (5*z^4)/a^6 + (4*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 16114] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 + 
   z^4/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 16115] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - (7*z^2)/a^10 + (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^2)/a^4 - (9*z^4)/a^10 + (16*z^4)/a^8 + (18*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^6)/a^10 + (14*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 16116] -> -2/a^10 + 2/a^8 + a^(-4) - (4*z^2)/a^10 + 
   (5*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16117] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + z^2/a^16 - (5*z^2)/a^14 - 
   (12*z^2)/a^12 + (22*z^2)/a^10 + (5*z^2)/a^8 - (4*z^4)/a^14 - z^4/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16118] -> 
  2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16119] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + a^2 - z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - z^4 + (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 16120] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (4*z^2)/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (17*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16121] -> 
  a^(-16) - 2/a^14 - a^(-12) + a^(-10) + a^(-8) + a^(-6) - (4*z^2)/a^14 - 
   z^2/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 + 
   (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 16122] -> -1 - 4/a^6 + 6/a^4 - 5*z^2 - (8*z^2)/a^6 + 
   (15*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 - (9*z^4)/a^6 + (18*z^4)/a^4 + 
   (12*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 16123] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16124] -> -3 - 3/a^6 + 2/a^4 + 5/a^2 - 9*z^2 - 
   (9*z^2)/a^6 + (12*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 - (10*z^4)/a^6 + 
   (19*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 16125] -> -1 - a^(-8) - a^(-6) + 3/a^4 + 
   a^(-2) - 3*z^2 - (3*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (12*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 16126] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 - (5*z^2)/a^6 + (6*z^2)/a^4 + 
   (12*z^2)/a^2 - 9*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 16127] -> 
  7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 12*z^2 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16128] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16129] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 24*z^2 - 
   (2*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 27*z^4 + (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 15*z^6 + z^6/a^4 - z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 16130] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16131] -> 1 + a^(-10) - 3/a^8 + 6/a^6 - 7/a^4 + 
   3/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16132] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^10 + z^2/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 16133] -> 
  -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 17*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 2*a^4*z^2 - 17*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 9*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[14, Alternating, 16134] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (19*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16135] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 16136] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16137] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^6 - 
   z^2/a^4 + (6*z^2)/a^2 - 6*z^4 - (5*z^4)/a^6 + (5*z^4)/a^4 + (10*z^4)/a^2 - 
   4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 16138] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 9*z^2 - 
   (7*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 16*z^4 - (9*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16139] -> 3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   2*a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 + 
   3*a^4*z^4 + 6*a^6*z^4 - 16*a^8*z^4 + 10*a^10*z^4 + a^12*z^4 + a^4*z^6 - 
   a^6*z^6 - 12*a^8*z^6 + a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[14, Alternating, 16140] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 16141] -> 1 + a^(-4) - a^(-2) - a^4 + 
   a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16142] -> 
  1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - 5*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16143] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^6 - z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 16144] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 11*z^2 + z^2/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 
   2*z^4 - (4*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 16145] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + 3*z^2 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16146] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 - 
   (4*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 6*z^4 - (5*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + 8*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16147] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - 6*a^2*z^2 + 
   12*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 13*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 - z^6 + 2*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 16148] -> 
  -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 9*z^2 + z^2/a^4 - z^2/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^6*z^4 + 2*z^6 + 5*a^2*z^6 + 2*a^4*z^6, Knot[14, Alternating, 16149] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 16150] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (4*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 + (8*z^4)/a^8 - (11*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16151] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16152] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 10*z^4 + 
   z^4/a^2 + 15*a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 3*z^6 + 
   9*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16153] -> 1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + (6*z^4)/a^4 - 
   (10*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 16154] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - 
   (6*z^2)/a^6 + (12*z^2)/a^4 - 3*z^4 - (7*z^4)/a^6 + (17*z^4)/a^4 + 
   z^4/a^2 - 3*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (5*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 16155] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^10 + 
   z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16156] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 - (9*z^2)/a^6 + (14*z^2)/a^4 + 
   (8*z^2)/a^2 - 9*z^4 - (10*z^4)/a^6 + (20*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 16157] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16158] -> 8 - 5/a^2 + a^2 - 3*a^4 + 21*z^2 - 
   (13*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 27*z^4 - (13*z^4)/a^2 + 
   21*a^2*z^4 - 12*a^4*z^4 + 19*z^6 - (6*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 + 
   7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16159] -> 6 - a^(-4) - 2/a^2 - 2*a^4 + 14*z^2 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 16*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16160] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + (3*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + z^4/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16161] -> 1 + a^(-10) - a^(-8) + a^(-6) - 3/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16162] -> -4/a^8 + 5/a^6 + a^(-4) - a^(-2) - 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16163] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (11*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16164] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (18*z^2)/a^4 + (9*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (25*z^4)/a^4 + (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (14*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16165] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 + (6*z^2)/a^8 - 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + z^4 + z^4/a^10 + z^4/a^8 - 
   (10*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 16166] -> 
  3 - a^(-4) - a^4 + 8*z^2 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   12*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16167] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^6 + (10*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 16168] -> 
  a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 3*a^4*z^2 + 3*a^8*z^2 + a^2*z^4 + 
   a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[14, Alternating, 16169] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16170] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 9*z^2 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + 
   (5*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16171] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 
   12*a^4*z^2 + 4*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16172] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16173] -> 
  a^(-8) - a^(-6) + 2/a^4 - 3/a^2 + 2*a^2 - 5*z^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + z^4/a^4 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 16174] -> 
  -a^(-4) + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + 
   z^6/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16175] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 8*z^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - (4*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + 7*z^6 - 
   (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 16176] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 - z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 16177] -> 4*a^6 - 3*a^8 - 6*a^2*z^2 + 
   8*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 - 11*a^2*z^4 + 18*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 - 6*a^2*z^6 + 17*a^4*z^6 + 17*a^6*z^6 - 
   6*a^8*z^6 - a^2*z^8 + 7*a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^4*z^10 + 
   a^6*z^10, Knot[14, Alternating, 16178] -> 1 - 3*a^2 + 4*a^4 + a^6 - 
   2*a^8 - z^2 - 4*a^2*z^2 + 10*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 
   13*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 3*a^2*z^6 + 9*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 16179] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16180] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + z^4/a^8 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 16181] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^4 + a^2*z^2 - a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16182] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + 
   (7*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 + (9*z^4)/a^4 - 
   (17*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 16183] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 16184] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 11*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 14*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 16185] -> -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 
   6*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 16186] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + 
   (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16187] -> a^(-8) - a^(-6) + a^(-4) - a^(-2) + a^4 - 
   z^2 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 16188] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 3*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 11*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 16189] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 10*a^10*z^2 - 2*a^12*z^2 + 
   3*a^4*z^4 + 7*a^6*z^4 - 18*a^8*z^4 + 7*a^10*z^4 + 2*a^12*z^4 + a^4*z^6 - 
   a^6*z^6 - 13*a^8*z^6 - a^10*z^6 + a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[14, Alternating, 16190] -> a^4 + a^8 - a^12 + a^2*z^2 + 
   4*a^4*z^2 + 3*a^10*z^2 + a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 - 5*a^8*z^4 + 
   2*a^10*z^4 + a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[14, Alternating, 16191] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 
   7*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16192] -> -2 + a^(-8) - a^(-6) + a^(-4) + a^2 + a^4 - 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   2*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 16193] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 5*a^2*z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 11*a^4*z^4 + 5*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 4*a^2*z^6 + 9*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 16194] -> 
  2*a^4 - a^8 - z^2 - z^2/a^2 + 2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 
   z^4/a^2 + 5*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 16195] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + (5*z^4)/a^8 - (2*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16196] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + 3*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16197] -> -a^(-8) + 2/a^4 - z^2/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (2*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16198] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 
   3*z^4 - z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + 
   (11*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[14, Alternating, 16199] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - (5*z^4)/a^4 + (21*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 16200] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 16201] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   z^4 + z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16202] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + (5*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 16203] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 9*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16204] -> a^(-6) - a^(-4) + a^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 16205] -> 
  1 - 3*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 - (6*z^4)/a^6 + 
   (9*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 16206] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16207] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16208] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 16209] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + (4*z^4)/a^4 + z^4/a^2 + 
   8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 16210] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 16211] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16212] -> 1 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 16213] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + (6*z^4)/a^8 - (12*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16214] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 16215] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 - z^2/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 
   17*z^4 + (4*z^4)/a^4 + z^4/a^2 + 8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - 
   (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 16216] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 5*z^2 + z^2/a^6 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 16217] -> 1 + z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16218] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - (10*z^2)/a^8 + (21*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^4)/a^10 - (5*z^4)/a^8 + (23*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (13*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16219] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 16220] -> 1 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16221] -> 4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 + 
   3*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 + a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 - 8*a^8*z^4 + 9*a^10*z^4 - a^4*z^6 - 4*a^6*z^6 - 
   5*a^8*z^6, Knot[14, Alternating, 16222] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16223] -> 1 + 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 16224] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 5*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (18*z^4)/a^2 - z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 16225] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16226] -> 1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 
   2*z^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 + z^6/a^2 - 
   5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16227] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 7*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 + 3*z^4 + 2*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 + 
   4*z^6 - 6*a^2*z^6 - 13*a^4*z^6 + 5*a^6*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 16228] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16229] -> 
  1 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   10*z^4 - z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 16230] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 16231] -> 
  1 + z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16232] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^12 + (6*z^4)/a^10 - 
   (15*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16233] -> -a^(-8) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16234] -> 2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + 
   (3*z^2)/a^16 - (15*z^2)/a^14 - (4*z^2)/a^12 + (28*z^2)/a^10 + z^4/a^16 - 
   (15*z^4)/a^14 + (11*z^4)/a^12 + (38*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^6)/a^14 + (12*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16235] -> 
  2/a^16 - 5/a^14 + 2/a^12 - a^(-10) + 3/a^8 + z^2/a^16 - (10*z^2)/a^14 + 
   (4*z^2)/a^12 + (6*z^2)/a^10 + (10*z^2)/a^8 - (4*z^4)/a^14 + (7*z^4)/a^12 + 
   (13*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16236] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + z^2/a^16 - (10*z^2)/a^14 + 
   z^2/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - (5*z^4)/a^14 + (6*z^4)/a^12 + 
   (20*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (4*z^6)/a^12 + (8*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16237] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (6*z^2)/a^14 - (12*z^2)/a^12 + 
   (26*z^2)/a^10 + (3*z^2)/a^8 - (5*z^4)/a^14 + z^4/a^12 + (28*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + (4*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[14, Alternating, 16238] -> 2/a^16 - 5/a^14 - a^(-12) + 
   5/a^10 + (3*z^2)/a^16 - (18*z^2)/a^14 + (4*z^2)/a^12 + (25*z^2)/a^10 + 
   z^4/a^16 - (16*z^4)/a^14 + (16*z^4)/a^12 + (37*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^6)/a^14 + (13*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16239] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (7*z^2)/a^12 + (21*z^2)/a^10 + (5*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + 
   (22*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16240] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + z^2/a^16 - (11*z^2)/a^14 + 
   (6*z^2)/a^12 + (8*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^14 + (8*z^4)/a^12 + 
   (14*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16241] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (4*z^2)/a^14 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 16242] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^4*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16243] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^10 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16244] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16245] -> -1 - a^2 + 8*a^4 - 5*a^6 - 4*z^2 + 
   21*a^4*z^2 - 10*a^6*z^2 - 6*z^4 + 6*a^2*z^4 + 24*a^4*z^4 - 10*a^6*z^4 - 
   4*z^6 + 9*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16246] -> 
  a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 18*a^8*z^2 - 9*a^10*z^2 - 4*a^4*z^4 + 
   5*a^6*z^4 + 22*a^8*z^4 - 9*a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 15*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 16247] -> 2*a^6 + a^8 - 2*a^10 - a^2*z^2 + 
   2*a^4*z^2 + 5*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 16248] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   z^2/a^16 - (11*z^2)/a^14 + (18*z^2)/a^10 + (5*z^2)/a^8 - (5*z^4)/a^14 + 
   (8*z^4)/a^12 + (21*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16249] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16250] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (5*z^2)/a^14 - z^2/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 16251] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 16252] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16253] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - 
   7*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16254] -> 
  -3/a^8 + 4/a^6 + (4*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 16255] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + (5*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 16256] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 7*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16257] -> 9 - 4/a^2 - 4*a^2 + 21*z^2 - (9*z^2)/a^2 - 
   7*a^2*z^2 - a^4*z^2 + 23*z^4 - (9*z^4)/a^2 - 4*a^4*z^4 + 15*z^6 - 
   (5*z^6)/a^2 + 7*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 16258] -> 
  4 - a^(-4) - 2*a^2 + 7*z^2 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   8*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16259] -> -6*a^2 + 15*a^4 - 8*a^6 - 23*a^2*z^2 + 
   56*a^4*z^2 - 24*a^6*z^2 - 34*a^2*z^4 + 92*a^4*z^4 - 34*a^6*z^4 - 
   24*a^2*z^6 + 82*a^4*z^6 - 24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 
   8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 16260] -> -1 - 2*a^2 + 10*a^4 - 6*a^6 - 5*z^2 - 
   a^2*z^2 + 27*a^4*z^2 - 13*a^6*z^2 - 8*z^4 + 8*a^2*z^4 + 31*a^4*z^4 - 
   13*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16261] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 4*z^2 - 
   z^2/a^2 + 8*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - z^4 - (2*z^4)/a^2 + 
   12*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16262] -> -a^6 + 7*a^8 - 5*a^10 - 9*a^6*z^2 + 
   39*a^8*z^2 - 19*a^10*z^2 - 24*a^6*z^4 + 78*a^8*z^4 - 30*a^10*z^4 - 
   22*a^6*z^6 + 76*a^8*z^6 - 23*a^10*z^6 - 8*a^6*z^8 + 39*a^8*z^8 - 
   8*a^10*z^8 - a^6*z^10 + 10*a^8*z^10 - a^10*z^10 + a^8*z^12, 
 Knot[14, Alternating, 16263] -> a^4 - 3*a^6 + 8*a^8 - 5*a^10 - 2*a^6*z^2 + 
   23*a^8*z^2 - 11*a^10*z^2 - 6*a^4*z^4 + 6*a^6*z^4 + 28*a^8*z^4 - 
   12*a^10*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 19*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 16264] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 3*a^4*z^2 + 
   7*a^6*z^2 + 16*a^8*z^2 - 10*a^10*z^2 - 7*a^4*z^4 + 11*a^6*z^4 + 
   26*a^8*z^4 - 12*a^10*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 16265] -> a^6 + 3*a^8 - 3*a^10 - a^4*z^2 + 
   7*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 11*a^6*z^4 + 
   7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16266] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + 6*a^2*z^4 + 
   12*a^4*z^4 - 6*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16267] -> -3*a^2 + 9*a^4 - 5*a^6 - z^2 - 6*a^2*z^2 + 
   22*a^4*z^2 - 9*a^6*z^2 - 5*z^4 + a^2*z^4 + 24*a^4*z^4 - 10*a^6*z^4 - 
   4*z^6 + 8*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16268] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 3*z^2 + 4*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   z^4 - (2*z^4)/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16269] -> 3*a^4 - 2*a^6 - 2*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 - a^2*z^4 + 11*a^4*z^4 - 5*a^6*z^4 - 3*z^6 + 4*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16270] -> 
  3*a^6 - a^8 - a^10 + 7*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 
   7*a^6*z^4 + 4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 16271] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   18*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 29*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 16272] -> a^(-4) - a^(-2) + 3*a^2 - 
   4*a^4 + 2*a^6 + z^2 + z^2/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 16273] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16274] -> -a^4 + 4*a^6 - 2*a^10 - 3*a^4*z^2 + 
   9*a^6*z^2 + 11*a^8*z^2 - 8*a^10*z^2 - 5*a^4*z^4 + 10*a^6*z^4 + 
   20*a^8*z^4 - 9*a^10*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 15*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 16275] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16276] -> -1 + 3*a^2 - a^6 - 2*z^2 - z^2/a^2 + 
   8*a^2*z^2 - a^4*z^2 - a^6*z^2 - (2*z^4)/a^2 + 10*a^2*z^4 - 2*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 16277] -> -2*a^4 + 8*a^6 - 5*a^8 - 
   7*a^4*z^2 + 20*a^6*z^2 + a^8*z^2 - 6*a^10*z^2 - 9*a^4*z^4 + 22*a^6*z^4 + 
   14*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 16278] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   9*a^4*z^2 + 25*a^6*z^2 - 2*a^8*z^2 - 5*a^10*z^2 - 12*a^4*z^4 + 
   31*a^6*z^4 + 8*a^8*z^4 - 8*a^10*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 
   12*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 16279] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 13*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16280] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16281] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16282] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16283] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + z^6 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16284] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (18*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 - 
   (4*z^4)/a^12 + (19*z^4)/a^10 - (19*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16285] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - 
   (4*z^2)/a^12 + (9*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   (6*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 16286] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 7*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 - 
   2*a^10*z^2 - 9*a^4*z^4 + 26*a^6*z^4 + 2*a^8*z^4 - 5*a^10*z^4 - 5*a^4*z^6 + 
   16*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 16287] -> 
  -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 3*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 
   2*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 21*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16288] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16289] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 3*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 13*a^6*z^4 + 3*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16290] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 4*a^2*z^2 + 8*a^4*z^2 + 4*a^6*z^2 + 
   4*a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 5*a^6*z^4 + 8*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16291] -> 
  -a^2 + 3*a^4 - a^10 - z^2 + 5*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 16292] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 17*z^2 + 
   (3*z^2)/a^2 + 28*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   31*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16293] -> a^(-4) - 2/a^2 + 5*a^2 - 4*a^4 + a^6 + 
   2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 16294] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   16*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16295] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   2*z^4 - 5*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16296] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16297] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 5*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 - 
   7*z^4 + (8*z^4)/a^4 - (14*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 16298] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (5*z^2)/a^10 + (9*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (8*z^4)/a^10 + (14*z^4)/a^8 + (8*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^6)/a^10 + (13*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 16299] -> -2 - 4/a^6 + 5/a^4 + 2/a^2 - 8*z^2 - 
   (9*z^2)/a^6 + (14*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 - (10*z^4)/a^6 + 
   (19*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 16300] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 
   3*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (11*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16301] -> -6 + 2/a^6 - 6/a^4 + 9/a^2 + a^2 + a^4 - 
   18*z^2 + z^2/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 2*a^4*z^2 - 17*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 9*z^6 + (5*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 16302] -> 
  2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (18*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16303] -> 
  -4 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 + a^2 + a^4 - 8*z^2 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 + (5*z^4)/a^4 + 
   z^4/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 16304] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 - (4*z^2)/a^14 - (3*z^2)/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 16305] -> 2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 
   2*a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 18*a^6*z^2 - 14*a^8*z^2 + 4*a^10*z^2 + 
   4*a^2*z^4 - 17*a^4*z^4 + 22*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 15*a^6*z^6 - 10*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 16306] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - (9*z^2)/a^6 + (17*z^2)/a^4 + 
   z^2/a^2 - 6*z^4 - (10*z^4)/a^6 + (23*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 16307] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16308] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 - (7*z^2)/a^6 + (15*z^2)/a^4 - 
   (2*z^2)/a^2 - 5*z^4 - (7*z^4)/a^6 + (16*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 16309] -> 
  3 - a^(-4) - a^4 + 6*z^2 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   8*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16310] -> 10 - 6/a^2 - 3*a^4 + 25*z^2 - (15*z^2)/a^2 + 
   10*a^2*z^2 - 11*a^4*z^2 + 30*z^4 - (14*z^4)/a^2 + 23*a^2*z^4 - 
   13*a^4*z^4 + 20*z^6 - (6*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - 
   z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16311] -> 5 - 2/a^4 - 2*a^4 + 14*z^2 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 18*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 16312] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + (11*z^2)/a^6 - (20*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + (6*z^4)/a^6 - (25*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16313] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 + z^2/a^10 - 
   (13*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - 
   (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16314] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 2*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 16315] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16316] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16317] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 16318] -> 2 - a^(-2) + a^2 - a^4 + 8*z^2 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 14*z^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 
   7*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 12*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16319] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16320] -> a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^2 + (6*z^4)/a^8 - (11*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 + (4*z^6)/a^8 - (10*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16321] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^4 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16322] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (3*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16323] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16324] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 + 
   4*a^2*z^4 - 16*a^4*z^4 + 18*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 14*a^6*z^6 - 10*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 16325] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, Alternating, 16326] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 5*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   a^4*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16327] -> -a^(-4) + 2/a^2 + z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 16328] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 14*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 16329] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 16330] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, Alternating, 16331] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - 
   a^8 - 3*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   13*a^2*z^4 - 19*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   12*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 16332] -> -5 - 4/a^4 + 9/a^2 + a^2 - 
   14*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 16333] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 16334] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - (2*z^4)/a^10 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16335] -> -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - z^4 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 16336] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + a^4*z^2 + (4*z^4)/a^4 - (9*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 16337] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 16338] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16339] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   8*z^4 + z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 16340] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   4*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16341] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   (4*z^2)/a^12 + (9*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 + 
   (8*z^4)/a^10 - (14*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16342] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16343] -> 3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - 
   (21*z^2)/a^14 + (5*z^2)/a^12 + (25*z^2)/a^10 + z^4/a^16 - (17*z^4)/a^14 + 
   (16*z^4)/a^12 + (37*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16344] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (18*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16345] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (4*z^2)/a^16 - (23*z^2)/a^14 + 
   (10*z^2)/a^12 + (23*z^2)/a^10 + z^4/a^16 - (18*z^4)/a^14 + (20*z^4)/a^12 + 
   (36*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + (14*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 16346] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   z^2/a^16 - (9*z^2)/a^14 - (4*z^2)/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 - 
   (4*z^4)/a^14 + (4*z^4)/a^12 + (22*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16347] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (10*z^2)/a^14 + z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 - 
   (4*z^4)/a^14 + (6*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16348] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (4*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 16349] -> 5*a^8 - 4*a^10 - 2*a^4*z^2 + 
   6*a^6*z^2 + 14*a^8*z^2 - 8*a^10*z^2 - 7*a^4*z^4 + 13*a^6*z^4 + 
   18*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 16350] -> -a^4 + 4*a^6 - 2*a^10 - 
   2*a^4*z^2 + 12*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   13*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 16351] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (5*z^2)/a^14 - (13*z^2)/a^12 + (25*z^2)/a^10 + (4*z^2)/a^8 - 
   (4*z^4)/a^14 - z^4/a^12 + (26*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + 
   (3*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16352] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (6*z^2)/a^14 - (8*z^2)/a^12 + (19*z^2)/a^10 + 
   (6*z^2)/a^8 - (4*z^4)/a^14 + z^4/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 + 
   z^4/a^6 + (3*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16353] -> 7 - 4/a^2 - 2*a^4 + 19*z^2 - (10*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 24*z^4 - (10*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   16*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 16354] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 16*z^2 - (3*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 - 
   a^4*z^2 + 15*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 16355] -> a^(-16) - a^(-14) - 4/a^12 + 
   3/a^10 + 2/a^8 - (4*z^2)/a^14 - (3*z^2)/a^12 + (8*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 + (3*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 16356] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 9*a^2*z^2 + 24*a^4*z^2 - 10*a^6*z^2 - 18*a^2*z^4 + 
   46*a^4*z^4 - 18*a^6*z^4 - 17*a^2*z^6 + 52*a^4*z^6 - 17*a^6*z^6 - 
   7*a^2*z^8 + 31*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[14, Alternating, 16357] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   3*z^2 + 3*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + 5*a^2*z^4 + 
   16*a^4*z^4 - 8*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16358] -> -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 5*a^4*z^2 + 
   12*a^6*z^2 + 13*a^8*z^2 - 9*a^10*z^2 - 8*a^4*z^4 + 18*a^6*z^4 + 
   18*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 16359] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 
   a^2*z^2 - a^4*z^2 + 13*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 12*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 16360] -> -2 + 4*a^2 - a^8 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16361] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 25*a^2*z^4 - 7*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16362] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4 - (8*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 16363] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 7*a^4*z^2 + 19*a^6*z^2 + 5*a^8*z^2 - 
   7*a^10*z^2 - 9*a^4*z^4 + 22*a^6*z^4 + 15*a^8*z^4 - 9*a^10*z^4 - 
   5*a^4*z^6 + 15*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 16364] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 
   3*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 9*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 16365] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (4*z^2)/a^16 - (21*z^2)/a^14 + (7*z^2)/a^12 + (19*z^2)/a^10 + 
   (3*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + (21*z^4)/a^12 + (27*z^4)/a^10 + 
   (7*z^4)/a^8 - (4*z^6)/a^14 + (15*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16366] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 9*z^2 + (8*z^2)/a^4 - (18*z^2)/a^2 + z^4 + 
   (9*z^4)/a^4 - (22*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 16367] -> 
  3 + 2/a^4 - 4/a^2 + 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 16368] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (4*z^2)/a^14 - (14*z^2)/a^12 + (24*z^2)/a^10 + (5*z^2)/a^8 - 
   (4*z^4)/a^14 - (3*z^4)/a^12 + (26*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16369] -> -1 + 3*a^2 - a^6 - 4*z^2 + 6*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + 10*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 
   4*z^6 + 10*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16370] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - a^2*z^2 - 2*a^4*z^2 + 16*a^6*z^2 - 
   a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 + 2*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16371] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 18*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 
   9*z^4 + 21*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 
   7*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[14, Alternating, 16372] -> -2 + 6*a^2 - 3*a^4 - 7*z^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + 20*a^2*z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16373] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 16374] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16375] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (13*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 16376] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 20*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 
   9*z^4 + 24*a^2*z^4 - 10*a^4*z^4 - a^6*z^4 - 5*z^6 + 16*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[14, Alternating, 16377] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   6*z^2 - (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 
   2*a^4*z^4 - 2*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16378] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16379] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 4*z^4 - (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 16380] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16381] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (23*z^2)/a^10 - (18*z^2)/a^8 + (13*z^2)/a^6 - 
   (4*z^4)/a^12 + (22*z^4)/a^10 - (21*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16382] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + 
   a^(-6) + a^(-4) - (4*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^4 + 
   (6*z^4)/a^10 - z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 16383] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (17*z^2)/a^8 + (13*z^2)/a^6 + (4*z^4)/a^10 - (17*z^4)/a^8 + (18*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16384] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 + (9*z^2)/a^4 - (18*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 + (12*z^4)/a^4 - (26*z^4)/a^2 + 7*a^2*z^4 - 11*z^6 + (6*z^6)/a^4 - 
   (19*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 16385] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + (2*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 16386] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - 2*z^2 - (9*z^2)/a^6 + (18*z^2)/a^4 - 
   (5*z^2)/a^2 - 7*z^4 - (12*z^4)/a^6 + (26*z^4)/a^4 + (4*z^4)/a^2 - 5*z^6 - 
   (6*z^6)/a^6 + (19*z^6)/a^4 + (11*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 16387] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 16388] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 5*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^4*z^2 - 12*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   9*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 16389] -> -1 + a^(-4) + a^4 - 4*z^2 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 16390] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (12*z^4)/a^4 - z^4/a^2 - z^6 - z^6/a^8 + 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16391] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   3*z^2 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + 
   z^4/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 16392] -> 
  2/a^14 - 6/a^12 + 5/a^10 - 3/a^8 + 3/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (11*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + z^4/a^12 + (6*z^4)/a^10 - 
   (11*z^4)/a^8 + (12*z^4)/a^6 + (4*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 16393] -> 
  -1 + 6*a^4 - 4*a^6 - 5*z^2 + 4*a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 - 8*z^4 + 
   12*a^2*z^4 + 18*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 14*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16394] -> -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 - z^2/a^2 + 
   11*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - z^4 - (2*z^4)/a^2 + 13*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16395] -> 
  2/a^14 - 6/a^12 + 5/a^10 - 3/a^8 + 3/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (11*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + z^4/a^12 + (6*z^4)/a^10 - 
   (11*z^4)/a^8 + (12*z^4)/a^6 + (4*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 + 
   (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[14, Alternating, 16396] -> 
  7 - 3/a^2 - 3*a^2 + 35*z^2 - (16*z^2)/a^2 - 16*a^2*z^2 + 74*z^4 - 
   (29*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 - (23*z^6)/a^2 - 23*a^2*z^6 + 39*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 16397] -> 8 - 3/a^2 - 5*a^2 + a^4 + 21*z^2 - 
   (10*z^2)/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 27*z^4 - (12*z^4)/a^2 + 4*a^2*z^4 - 
   7*a^4*z^4 + 19*z^6 - (6*z^6)/a^2 + 11*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16398] -> 2 - a^(-4) + a^(-2) - a^2 + 14*z^2 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 - 12*a^2*z^4 + 19*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 16399] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16400] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 - 
   (9*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 16401] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 + 2*z^2 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 8*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16402] -> -1 - a^(-6) + 2/a^4 + a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16403] -> -a^(-6) + 2/a^4 - a^2 + a^4 + z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 4*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 16404] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - (21*z^2)/a^14 + (7*z^2)/a^12 + 
   (21*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + (17*z^4)/a^12 + 
   (33*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 16405] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 16406] -> -2 + 4*a^2 - a^8 - z^2 - z^2/a^2 + 
   6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16407] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16408] -> a^(-8) - a^(-6) - a^(-4) + 
   2/a^2 - a^2 + a^4 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 16409] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 2*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 16410] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16411] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16412] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 3*z^2 + 
   16*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 17*a^2*z^4 - 
   30*a^4*z^4 + 18*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16413] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (22*z^2)/a^14 + (9*z^2)/a^12 + (22*z^2)/a^10 + z^2/a^8 + 
   z^4/a^16 - (18*z^4)/a^14 + (19*z^4)/a^12 + (35*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^6)/a^14 + (14*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16414] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 + 
   (13*z^2)/a^10 + (8*z^2)/a^8 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16415] -> 
  -1 + 4*a^4 - 2*a^8 - 4*z^2 + 4*a^2*z^2 + 8*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 - 4*z^4 + 11*a^2*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 7*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 16416] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 2*z^2 - z^2/a^2 + 7*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16417] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (5*z^2)/a^14 - (9*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^4)/a^14 + (21*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + 
   (3*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16418] -> -2 + 4*a^2 - a^4 + 2*a^6 - 2*a^8 - 5*z^2 + 
   11*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   8*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 9*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16419] -> -3 + 8*a^2 - 6*a^4 + 4*a^6 - 2*a^8 - 7*z^2 + 
   20*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 
   19*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16420] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16421] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 5*z^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   9*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 9*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16422] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (12*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + (9*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (5*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16423] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 4*z^2 + 
   6*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 
   4*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16424] -> -2 + 4*a^2 - a^8 - 2*z^2 - z^2/a^2 + 
   8*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16425] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (14*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (10*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (6*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16426] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16427] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16428] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16429] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 
   2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16430] -> a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^16 - (4*z^2)/a^14 - (13*z^2)/a^12 + (21*z^2)/a^10 + (6*z^2)/a^8 - 
   (4*z^4)/a^14 - (2*z^4)/a^12 + (24*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + 
   (3*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16431] -> 3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - 
   (20*z^2)/a^14 + (4*z^2)/a^12 + (24*z^2)/a^10 + z^2/a^8 + z^4/a^16 - 
   (17*z^4)/a^14 + (15*z^4)/a^12 + (36*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^6)/a^14 + (13*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16432] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 + (8*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16433] -> 
  5*a^2 - 8*a^4 + 6*a^6 - 3*a^8 + a^10 + 8*a^2*z^2 - 21*a^4*z^2 + 
   18*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 7*a^2*z^4 - 26*a^4*z^4 + 
   22*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16434] -> 2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16435] -> 
  -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + a^4 - 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^8/a^2, Knot[14, Alternating, 16436] -> 
  3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + (4*z^2)/a^16 - (20*z^2)/a^14 + 
   (4*z^2)/a^12 + (22*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + 
   (16*z^4)/a^12 + (33*z^4)/a^10 + (5*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16437] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 - z^2/a^6 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   a^6*z^2 + z^4 + (3*z^4)/a^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 16438] -> -2/a^12 + 4/a^10 - 3/a^8 + a^(-6) + a^(-2) - 
   z^2/a^12 + (10*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16439] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   a^(-4) + a^(-2) + (4*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 - z^4 - (5*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 16440] -> 
  -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 6*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + 2*z^6 + 5*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, Alternating, 16441] -> -3 + 2/a^4 - a^(-2) + 5*a^2 - 3*a^4 + a^8 - 
   2*z^2 + z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 5*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 16442] -> 
  a^(-6) - a^(-2) + 2*a^2 - 2*a^4 + a^8 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 3*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, Alternating, 16443] -> 
  2 - 5*a^4 + 6*a^6 - 2*a^8 + 5*z^2 - z^2/a^2 - 3*a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 - 10*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16444] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 
   7*a^8*z^2 + 4*a^10*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, Knot[14, Alternating, 16445] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2/a^10 + (6*z^2)/a^8 - 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + (3*z^4)/a^10 + z^4/a^8 - 
   (15*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 16446] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 16447] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 16448] -> 1 + z^2 + z^2/a^10 + z^2/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2, Knot[14, Alternating, 16449] -> 
  -2 + a^(-4) - a^(-2) + 6*a^2 - 4*a^4 + a^6 - 4*z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 16450] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 3*z^2 - z^2/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 - 
   3*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 16451] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16452] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 
   z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16453] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + 2*z^2 + z^2/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 + z^4/a^8 - (10*z^4)/a^6 - 
   (11*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 16454] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   z^4 - z^4/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2, 
 Knot[14, Alternating, 16455] -> a^2 + a^6 - a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16456] -> -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16457] -> -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16458] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16459] -> -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   a^4 - 5*z^2 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 16460] -> 
  1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 5*a^2*z^4 - 3*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16461] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16462] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 16463] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 9*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 16464] -> 
  a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 + z^2/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 16465] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 16466] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16467] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (6*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 16468] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16469] -> -2 + 2/a^4 - a^(-2) + 3*a^2 - 3*a^4 + 
   2*a^6 - 4*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 + z^4 + z^4/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 16470] -> 1 + a^(-6) - a^(-2) - 2*a^4 + 2*a^6 + 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, Alternating, 16471] -> 1 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 
   2*a^2*z^4 - 10*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 16472] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 16473] -> 
  3*a^2 - 3*a^4 + a^6 - 5*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 7*z^4 + 23*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   17*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 16474] -> 1 - 2*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 16475] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 16476] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16477] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^2 + 
   14*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16478] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16479] -> -2 + 2/a^4 - a^(-2) + 3*a^2 - 2*a^4 + a^8 - 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - (2*z^4)/a^2 + 4*a^2*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 16480] -> 1 + a^(-6) - a^(-2) - a^4 + a^8 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 16481] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   z^4 - 2*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16482] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 3*z^4 + z^4/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 16483] -> a^2 + a^6 - a^8 + z^2 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16484] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16485] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 + z^2 - 3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16486] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - 
   (3*z^2)/a^2 - a^4*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16487] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16488] -> 
  -4 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + a^2 + a^4 - 8*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 16489] -> -2 + 2/a^4 - a^(-2) + 3*a^2 - 3*a^4 + 
   2*a^6 - 6*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 16490] -> -2 + 2/a^4 - a^(-2) + 3*a^2 - 2*a^4 + a^8 - 
   5*z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 16491] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 16492] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16493] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 16494] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16495] -> -5 + 3/a^2 + 3*a^2 - 25*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 35*z^4 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 22*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16496] -> -4 + 3/a^2 + a^2 + a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 16497] -> -a^(-4) + 2/a^2 + (8*z^2)/a^8 - 
   (8*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + (12*z^4)/a^8 - (20*z^4)/a^6 - 
   (20*z^4)/a^4 + (12*z^4)/a^2 + (6*z^6)/a^8 - (18*z^6)/a^6 - (18*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 16498] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (4*z^2)/a^8 + z^2/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 + (4*z^4)/a^8 - 
   (4*z^4)/a^6 - (18*z^4)/a^4 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16499] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 16500] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (11*z^2)/a^8 - (16*z^2)/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 + (13*z^4)/a^8 - (25*z^4)/a^6 - (19*z^4)/a^4 + 
   (12*z^4)/a^2 + (6*z^6)/a^8 - (19*z^6)/a^6 - (18*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16501] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 4*z^2 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^8 - (3*z^4)/a^6 - (21*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (11*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 16502] -> -2 + 4*a^2 + a^4 - 2*a^6 - 
   9*z^2 + 12*a^2*z^2 + 11*a^4*z^2 - 9*a^6*z^2 - 12*z^4 + 21*a^2*z^4 + 
   21*a^4*z^4 - 12*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 18*a^4*z^6 - 6*a^6*z^6 - 
   z^8 + 7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16503] -> -2 + 5*a^2 - a^4 - a^6 - 5*z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 4*a^6*z^2 - (3*z^4)/a^2 + 18*a^2*z^4 + 
   4*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16504] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 20*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16505] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + 
   (5*z^2)/a^8 - z^2/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 3*z^4 + (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (19*z^4)/a^4 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16506] -> 2 + 2/a^6 - 3/a^4 + 4*z^2 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + z^4/a^8 - z^4/a^6 - 
   (9*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 16507] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 4*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 13*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 16508] -> -1 + 3*a^2 - a^6 - 2*z^2 - 
   z^2/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - z^4/a^2 + 
   6*a^2*z^4 + 6*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 16509] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 4*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 16510] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 14*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16511] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16512] -> 
  -a^(-6) + a^(-4) + a^(-2) + (6*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + (11*z^4)/a^8 - (17*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 + 
   (6*z^6)/a^8 - (17*z^6)/a^6 - (17*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16513] -> -a^(-4) + 2/a^2 + 2*z^2 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16514] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16515] -> -a^4 + 6*a^6 - 4*a^8 + 3*a^2*z^2 - 
   11*a^4*z^2 + 24*a^6*z^2 - 9*a^8*z^2 + 7*a^2*z^4 - 18*a^4*z^4 + 
   20*a^6*z^4 - 2*a^8*z^4 + 5*a^2*z^6 - 14*a^4*z^6 + a^6*z^6 + 3*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 16516] -> 4*a^6 - 3*a^8 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   4*a^6*z^4 + a^8*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 16517] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 15*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (15*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16518] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - 
   z^4/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 16519] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 16520] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 16521] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + (2*z^2)/a^8 + (6*z^2)/a^6 - (19*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 + (2*z^4)/a^6 - (25*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (14*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16522] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + (4*z^2)/a^10 + (3*z^2)/a^8 - (15*z^2)/a^6 - 
   z^2/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (3*z^4)/a^8 - (20*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 16523] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 3*z^2 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 16524] -> -3 + a^(-4) + 4*a^2 - a^4 - 9*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 16525] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + 2*z^2 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 16526] -> 
  2 + a^(-8) - 2/a^4 + 2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2, Knot[14, Alternating, 16527] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 - z^2/a^6 + z^2/a^4 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 16528] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^8 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - z^4 + z^4/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 16529] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16530] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 5*a^2*z^2 + 
   6*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 7*a^2*z^4 + 4*a^4*z^4 + 
   a^6*z^4 + a^8*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[14, Alternating, 16531] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 + 4*a^2*z^2 - 14*a^4*z^2 + 28*a^6*z^2 - 
   13*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 23*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 
   5*a^2*z^6 - 16*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 16532] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + z^4/a^2 - a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6 - a^6*z^6, Knot[14, Alternating, 16533] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16534] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + 
   2*a^6*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16535] -> 
  1 + 4*z^2 + (4*z^2)/a^8 - (8*z^2)/a^4 + 4*z^4 + (4*z^4)/a^8 - (4*z^4)/a^6 - 
   (16*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16536] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + 
   z^4/a^8 - z^4/a^6 - (8*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 16537] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + (7*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - 
   7*z^4 + z^4/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 - (3*z^6)/a^6 + 
   (14*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 16538] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 16539] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (5*z^2)/a^8 + (17*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 + (13*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 + 
   (3*z^6)/a^8 - z^6/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16540] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + 
   z^2/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + (7*z^4)/a^4 - (4*z^4)/a^2 + 
   11*a^2*z^4 - 18*z^6 + (5*z^6)/a^4 - (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 16541] -> -4*a^2 + 11*a^4 - 6*a^6 - 28*a^2*z^2 + 
   64*a^4*z^2 - 29*a^6*z^2 - 45*a^2*z^4 + 119*a^4*z^4 - 45*a^6*z^4 - 
   30*a^2*z^6 + 105*a^4*z^6 - 30*a^6*z^6 - 9*a^2*z^8 + 48*a^4*z^8 - 
   9*a^6*z^8 - a^2*z^10 + 11*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 16542] -> -3*a^2 + 9*a^4 - 5*a^6 - 8*z^2 + a^2*z^2 + 
   29*a^4*z^2 - 16*a^6*z^2 - 12*z^4 + 15*a^2*z^4 + 38*a^4*z^4 - 17*a^6*z^4 - 
   6*z^6 + 17*a^2*z^6 + 25*a^4*z^6 - 7*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16543] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 8*z^2 + 5*a^2*z^2 + 20*a^4*z^2 - 12*a^6*z^2 - 
   12*z^4 + 19*a^2*z^4 + 26*a^4*z^4 - 13*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 
   19*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16544] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 13*z^2 + 16*a^2*z^2 + 16*a^4*z^2 - 
   13*a^6*z^2 - 16*z^4 + 29*a^2*z^4 + 29*a^4*z^4 - 16*a^6*z^4 - 7*z^6 + 
   23*a^2*z^6 + 23*a^4*z^6 - 7*a^6*z^6 - z^8 + 8*a^2*z^8 + 8*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16545] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 - (4*z^2)/a^2 + 14*a^2*z^2 + 5*a^4*z^2 - 
   7*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 20*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 + 
   4*z^6 - z^6/a^2 + 11*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 16546] -> -2 + 5*a^2 - a^4 - a^6 - 3*z^2 - 
   (4*z^2)/a^2 + 17*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 
   21*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 11*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16547] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 + z^4/a^8 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16548] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 13*z^4 + (3*z^4)/a^4 + 
   3*a^4*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 16549] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 13*a^2*z^2 + 25*a^4*z^2 + a^6*z^2 - 
   7*a^8*z^2 - 16*a^2*z^4 + 35*a^4*z^4 + 13*a^6*z^4 - 11*a^8*z^4 - 
   7*a^2*z^6 + 24*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 - a^2*z^8 + 8*a^4*z^8 + 
   7*a^6*z^8 - a^8*z^8 + a^4*z^10 + a^6*z^10, Knot[14, Alternating, 16550] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 4*z^2 + 13*a^4*z^2 - 4*a^8*z^2 - 4*z^4 + 
   4*a^2*z^4 + 17*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 16551] -> 2*a^4 - a^8 - 4*z^2 + 2*a^2*z^2 + 
   9*a^4*z^2 - 3*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 14*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 4*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 16552] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + 4*a^2*z^2 + 14*a^4*z^2 - 4*a^6*z^2 - 
   3*a^8*z^2 - 5*z^4 + 7*a^2*z^4 + 19*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   5*a^2*z^6 + 11*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 16553] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 
   z^4 - z^4/a^2 + 8*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 16554] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 + 7*a^4*z^4 - a^8*z^4 + 
   z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 16555] -> 
  2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + (3*z^2)/a^16 - (21*z^2)/a^14 + 
   (14*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (17*z^4)/a^14 + 
   (24*z^4)/a^12 + (28*z^4)/a^10 + (7*z^4)/a^8 - (4*z^6)/a^14 + 
   (15*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16556] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (5*z^2)/a^12 - (12*z^2)/a^10 + 
   (5*z^2)/a^8 + (9*z^2)/a^6 + (8*z^4)/a^12 - (15*z^4)/a^10 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 + (5*z^6)/a^12 - (13*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 16557] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + (5*z^4)/a^8 - 
   (5*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 16558] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 4*z^2 - 3*a^2*z^2 + 24*a^4*z^2 - 12*a^6*z^2 - 
   8*z^4 + 7*a^2*z^4 + 30*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 
   20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16559] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + z^2/a^16 - (8*z^2)/a^14 - z^2/a^12 + 
   (16*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (18*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16560] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (8*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 16561] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - (11*z^4)/a^4 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16562] -> 2*a^4 - a^8 - 2*z^2 + 7*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 11*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 16563] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (23*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (14*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16564] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 16565] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + 4*z^2 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 16*a^4*z^2 - 8*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 + 14*a^4*z^4 - 5*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16566] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16567] -> -1 + 3*a^2 - a^6 + 2*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 + 6*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 16568] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 16569] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 - (2*z^2)/a^2 + 5*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 16570] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 16571] -> a^2 + a^4 - a^6 + z^2 - z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^2 + 4*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4, Knot[14, Alternating, 16572] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 9*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 6*a^2*z^4 + 
   a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16573] -> 
  -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + (8*z^4)/a^8 - (12*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16574] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16575] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 17*a^4*z^2 - 
   9*a^6*z^2 - 8*z^4 + 8*a^2*z^4 + 25*a^4*z^4 - 12*a^6*z^4 - 5*z^6 + 
   12*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16576] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + z^2 - (2*z^2)/a^2 - a^2*z^2 + 10*a^4*z^2 - 
   5*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 8*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 16577] -> -2 + 6*a^2 - 3*a^4 - 6*z^2 - 
   (2*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 
   26*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 15*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16578] -> a^2 + a^6 - a^8 - 2*z^2 + a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 10*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 16579] -> 
  1 - a^2 + a^4 + a^6 - a^8 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 16580] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 - z^2/a^2 + 8*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 
   z^4 - z^4/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 16581] -> 
  2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + a^(-8) + z^2/a^16 - (12*z^2)/a^14 + 
   (9*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^14 + 
   (10*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16582] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   (4*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16583] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   z^2/a^10 + (7*z^2)/a^8 - (14*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 
   (3*z^4)/a^10 + z^4/a^8 - (17*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 16584] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - (4*z^2)/a^14 + 
   (8*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 + (7*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 16585] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   z^4/a^10 - (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 16586] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^6 - 
   (7*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 16587] -> -4/a^10 + 4/a^8 + 2/a^6 - a^(-4) - 
   (7*z^2)/a^10 + (9*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 - (6*z^4)/a^10 + 
   (10*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 16588] -> 
  -2/a^10 - a^(-8) + 6/a^6 - 2/a^4 - (2*z^2)/a^10 - z^2/a^8 + (15*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 - (2*z^4)/a^10 + z^4/a^8 + (13*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16589] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 4*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 - 7*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16590] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - (2*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + z^4 - z^4/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 16591] -> -a^2 + 5*a^4 - 3*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + z^4 - (3*z^4)/a^2 + 
   13*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16592] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 16593] -> -a^(-2) + 5*a^2 - 3*a^4 - z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - z^4/a^4 + 
   (5*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 16594] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 16595] -> a^2 + a^6 - a^8 - z^2 - z^2/a^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 16596] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + 
   (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 16597] -> a^(-8) - 4/a^6 + 4/a^4 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^8 - (9*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 16598] -> -a^(-4) + 2/a^2 + z^2/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16599] -> 
  -2 - 3/a^4 + 6/a^2 - 10*z^2 - (8*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 
   14*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16600] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16601] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 16602] -> 
  -3/a^8 + 4/a^6 - (5*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16603] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - (4*z^2)/a^2 + 5*a^2*z^2 + 12*a^4*z^2 - 8*a^6*z^2 + 
   4*z^4 - (4*z^4)/a^2 + 15*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 + 4*z^6 - 
   z^6/a^2 + 10*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16604] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 11*z^2 - 
   (2*z^2)/a^6 + (10*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 16605] -> 
  -2 + 5*a^2 - a^4 - a^6 - z^2 - (2*z^2)/a^4 - z^2/a^2 + 13*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + 5*z^4 - z^4/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 16606] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16607] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - z^4 - z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 16608] -> 2*a^4 - a^8 - z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 + 5*a^4*z^2 - 2*a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 16609] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 16610] -> -1 + 3*a^2 - a^6 - z^2/a^4 - z^2/a^2 + 
   5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^2 + 
   5*a^2*z^4 + 4*a^4*z^4 + a^6*z^4, Knot[14, Alternating, 16611] -> 
  4 - 2/a^2 - a^4 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16612] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 + 
   (4*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16613] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 16614] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16615] -> 6 - 4/a^2 + 2*a^2 - 3*a^4 + 23*z^2 - 
   (16*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 34*z^4 - (17*z^4)/a^2 + 
   28*a^2*z^4 - 16*a^4*z^4 + 24*z^6 - (7*z^6)/a^2 + 23*a^2*z^6 - 7*a^4*z^6 + 
   8*z^8 - z^8/a^2 + 8*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16616] -> 7 - 4/a^2 - 2*a^4 + 17*z^2 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 21*z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 5*a^4*z^4 + 11*z^6 - z^6/a^4 + (4*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 16617] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 10*z^2 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 19*z^4 - (5*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 16618] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 8*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 10*z^4 - z^4/a^6 + z^4/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 16619] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 + 3*z^2 - 
   (7*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 
   24*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + 5*z^6 - z^6/a^2 + 12*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16620] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 7*z^2 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - 
   z^4/a^4 + z^4/a^2 + 9*a^2*z^4 + a^4*z^4 - a^6*z^4 + 3*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 16621] -> 
  3 - a^(-4) - a^4 + 6*z^2 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 16622] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 - (4*z^2)/a^6 - z^2/a^4 + (17*z^2)/a^2 - 
   12*z^4 - (8*z^4)/a^6 + (8*z^4)/a^4 + (25*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + 
   (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 16623] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 11*z^2 - (7*z^2)/a^4 + (15*z^2)/a^2 + 
   15*a^2*z^2 - 7*a^4*z^2 - 21*z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 18*z^6 - z^6/a^4 + (12*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16624] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 2*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 16625] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - (3*z^4)/a^6 + z^4/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 16626] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - z^2/a^6 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 16627] -> 
  -3 + 2/a^6 - 2/a^4 + a^(-2) + 3*a^2 - 16*z^2 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (10*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 + (5*z^4)/a^6 - (23*z^4)/a^4 + 
   (21*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - (12*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16628] -> -2 + 2/a^6 - 2/a^4 + a^(-2) + a^2 + a^4 - 
   6*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16629] -> 2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + 
   z^2/a^16 - (11*z^2)/a^14 + (7*z^2)/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^14 + (9*z^4)/a^12 + (12*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 16630] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (12*z^2)/a^10 + (14*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 16631] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16632] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (4*z^2)/a^14 - z^2/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 16633] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - z^4/a^8 - z^4/a^6 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16634] -> 1 - a^4 + 2*a^6 - a^8 + a^6*z^2 - z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 16635] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + (3*z^2)/a^16 - (18*z^2)/a^14 + 
   (6*z^2)/a^12 + (23*z^2)/a^10 + z^2/a^8 + z^4/a^16 - (16*z^4)/a^14 + 
   (16*z^4)/a^12 + (36*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + 
   (13*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 16636] -> 
  -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + 
   (9*z^2)/a^6 + (7*z^4)/a^12 - (10*z^4)/a^10 - (5*z^4)/a^8 + (12*z^4)/a^6 + 
   (5*z^6)/a^12 - (12*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 16637] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (3*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 16638] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (4*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + (3*z^4)/a^12 + 
   (19*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 16639] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + z^2/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16640] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 16641] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16642] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   12*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + z^4/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 16643] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16644] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 16645] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (4*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 - 
   (18*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (12*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[14, Alternating, 16646] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 
   3*z^2 + (2*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^10 - (5*z^4)/a^8 - (7*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16647] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (6*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16648] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 + 
   z^2/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 16649] -> 2/a^6 - 2/a^4 + a^4 - 5*z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16650] -> -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   18*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 7*z^4 + 24*a^2*z^4 - 
   19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16651] -> 3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16652] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 + (4*z^4)/a^8 + z^4/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + 
   (4*z^6)/a^8 - (7*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16653] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (9*z^4)/a^4 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16654] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16655] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (8*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16656] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4/a^8 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 16657] -> -5 + 2/a^6 - 2/a^4 + 2/a^2 + 4*a^2 - 
   21*z^2 + (7*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 25*z^4 + 
   (5*z^4)/a^6 - (24*z^4)/a^4 + (25*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16658] -> 
  -1 + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 2*a^4 - z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 - 7*a^2*z^2 + 3*a^4*z^2 + 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16659] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (4*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^6)/a^10 + (8*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 16660] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16661] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 3*z^2 + 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (28*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (15*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 16662] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + 
   a^2 + a^4 - 11*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16663] -> -1 + 2/a^6 - 2/a^4 + a^(-2) + a^6 - 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 16664] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 16665] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 - (2*z^4)/a^8 - 
   z^4/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 - z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16666] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 16667] -> 2 - a^(-2) + a^2 - a^4 + 11*z^2 - 
   (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 18*z^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16668] -> 3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^4 - 
   2*a^2*z^2 - a^4*z^2 + 8*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 16669] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - (2*z^2)/a^4 - 7*a^2*z^2 + a^4*z^2 + 
   10*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16670] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16671] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^6 + 
   z^2/a^2 - 3*a^2*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^4*z^4 + 
   2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 16672] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 16673] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - z^4 - z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + 
   z^4/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 16674] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 16675] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16676] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16677] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 16*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16678] -> -2 - 2/a^8 + 4/a^6 - 5/a^4 + 6/a^2 - 
   6*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (25*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16679] -> 
  1 - a^4 + 2*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   3*z^6 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16680] -> 
  -4 + 3/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 16681] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 16682] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 7*z^2 + 17*a^2*z^2 - 10*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16683] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16684] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 6*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 7*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16685] -> 
  2 - a^(-2) + a^4 - a^6 + 3*z^2 - z^2/a^4 - a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 
   2*z^4 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 16686] -> -a^(-6) + a^(-4) + a^(-2) + 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 16687] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16688] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 + 
   z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 16689] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (13*z^2)/a^10 - 
   (10*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - (9*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16690] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16691] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 16692] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 5*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16693] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 16694] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16695] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 5*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16696] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 16697] -> -3*a^2 + 9*a^4 - 5*a^6 - 21*a^2*z^2 + 
   49*a^4*z^2 - 22*a^6*z^2 - 34*a^2*z^4 + 90*a^4*z^4 - 34*a^6*z^4 - 
   24*a^2*z^6 + 82*a^4*z^6 - 24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 
   8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 16698] -> -2*a^2 + 7*a^4 - 4*a^6 - 6*z^2 + a^2*z^2 + 
   22*a^4*z^2 - 12*a^6*z^2 - 9*z^4 + 11*a^2*z^4 + 29*a^4*z^4 - 13*a^6*z^4 - 
   5*z^6 + 13*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16699] -> 
  -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + 4*a^2*z^2 + 15*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + 
   14*a^2*z^4 + 20*a^4*z^4 - 10*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 15*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16700] -> -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + 11*a^4*z^2 - 
   a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 9*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16701] -> 3*a^4 - 2*a^6 - 2*z^2 - z^2/a^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 16702] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16703] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (24*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16704] -> -4 + 3/a^2 + a^2 + a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16705] -> a^(-8) - 4/a^6 + 4/a^4 + (14*z^2)/a^8 - 
   (30*z^2)/a^6 + (18*z^2)/a^4 + (29*z^4)/a^8 - (72*z^4)/a^6 + (30*z^4)/a^4 + 
   (23*z^6)/a^8 - (75*z^6)/a^6 + (23*z^6)/a^4 + (8*z^8)/a^8 - (39*z^8)/a^6 + 
   (8*z^8)/a^4 + z^10/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[14, Alternating, 16706] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (9*z^2)/a^8 - (15*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + (12*z^4)/a^8 - 
   (25*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^8 - (19*z^6)/a^6 - 
   (12*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 16707] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (6*z^2)/a^8 - (7*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 + (9*z^4)/a^8 - (15*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16708] -> -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + 4*a^2*z^2 + 
   15*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + 14*a^2*z^4 + 20*a^4*z^4 - 10*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16709] -> 
  3*a^4 - 2*a^6 - 4*z^2 + 5*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 
   4*z^4 + 12*a^2*z^4 - 4*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 8*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 16710] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 
   2*a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16711] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (5*z^2)/a^8 - 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16712] -> a^(-8) - 2/a^6 + 2/a^2 + (7*z^2)/a^8 - 
   (8*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^8 - (16*z^4)/a^6 - 
   (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - (14*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 16713] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + 2*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16714] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 3*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 12*a^4*z^2 - 
   6*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 16715] -> -3 + a^(-4) + a^(-2) + a^2 + 
   a^4 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16716] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + (5*z^2)/a^8 - (8*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (4*z^4)/a^8 - (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16717] -> 
  a^2 + a^4 - a^6 - 6*z^2 + 9*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + 
   18*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16718] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 16719] -> 
  a^2 + a^4 - a^6 - 3*z^2 + 3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 
   4*z^4 + 10*a^2*z^4 - 2*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 7*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 16720] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16721] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16722] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^6 - z^2/a^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16723] -> 
  3*a^4 - 2*a^6 - 5*z^2 + 5*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + 
   14*a^2*z^4 + 15*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 16724] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   (2*z^2)/a^2 + 7*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16725] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2/a^2 + 4*a^4*z^2 - a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16726] -> 
  -5 + 3/a^2 + 3*a^2 - 20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 25*z^4 - z^4/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16727] -> 
  -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 16728] -> -1 + 5*a^2 - 4*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 23*z^4 + (7*z^4)/a^2 + 
   23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16729] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16730] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16731] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 16732] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   2*z^2 - z^2/a^4 + z^2/a^2 + 2*a^4*z^2 - a^8*z^2 + (2*z^4)/a^2 + 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 16733] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 16734] -> a^(-8) - 4/a^4 + 4/a^2 + (4*z^2)/a^8 - 
   (16*z^2)/a^4 + (10*z^2)/a^2 + (6*z^4)/a^8 - (6*z^4)/a^6 - (23*z^4)/a^4 + 
   (10*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16735] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16736] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 + (9*z^4)/a^8 - 
   (14*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 16737] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (15*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (19*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 16738] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) + 3*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   3*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16739] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 4*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16740] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   6*a^4*z^2 - 7*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16741] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 16742] -> -a^2 + 5*a^4 - 3*a^6 - 
   (3*z^2)/a^2 + 4*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16743] -> 2 + 2/a^6 - 3/a^4 + 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16744] -> 
  2 - a^(-2) + a^2 - a^4 - 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16745] -> 
  3*a^4 - 2*a^6 - (3*z^2)/a^2 + 6*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16746] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 16747] -> 
  a^2 + a^4 - a^6 + z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16748] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^4 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 16749] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16750] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   9*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16751] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 16752] -> 
  a^2 + a^4 - a^6 + z^2 - (2*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16753] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (6*z^2)/a^12 - (14*z^2)/a^10 + (3*z^2)/a^8 + (10*z^2)/a^6 + (8*z^4)/a^12 - 
   (16*z^4)/a^10 - (5*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^12 - 
   (13*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 16754] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 16755] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + (5*z^2)/a^8 - (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (10*z^2)/a^2 + (8*z^4)/a^8 - (9*z^4)/a^6 - (25*z^4)/a^4 + 
   (12*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16756] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 + (3*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16757] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 9*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16758] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   11*a^2*z^2 - 19*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   26*a^4*z^4 + 17*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16759] -> 2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16760] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 8*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, Alternating, 16761] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - a^6*z^2 + (3*z^4)/a^4 + 4*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 16762] -> 
  2*a^2 - a^4 - 2*z^2 - z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - a^8*z^2 + z^4 - 
   z^4/a^2 + 6*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16763] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16764] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 - z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16765] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 16766] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (22*z^4)/a^4 + z^6 + z^6/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16767] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16768] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + a^4*z^2 + z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^2, Knot[14, Alternating, 16769] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16770] -> 1 + a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16771] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 16772] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - z^4 + (3*z^4)/a^4 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 16773] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2/a^4 + 2*a^2*z^2 + a^4*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 16774] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 16775] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 - 8*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16776] -> 2/a^8 - 6/a^6 + 5/a^4 + (5*z^2)/a^8 - 
   (11*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - (10*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 16777] -> a^(-8) - 4/a^4 + 4/a^2 + 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (22*z^2)/a^4 + (12*z^2)/a^2 + (5*z^4)/a^8 + 
   z^4/a^6 - (32*z^4)/a^4 + (13*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (21*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 16778] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + z^2/a^14 - (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 + (3*z^4)/a^12 - (3*z^4)/a^10 - (13*z^4)/a^8 + (13*z^4)/a^6 + 
   (4*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 16779] -> 2/a^12 - 5/a^10 + 3/a^8 - a^(-6) + 2/a^4 + 
   (4*z^2)/a^12 - (12*z^2)/a^10 + (10*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[14, Alternating, 16780] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 5*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 - (8*z^2)/a^2 + 4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16781] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16782] -> 
  2/a^12 - 5/a^10 + 3/a^8 + a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[14, Alternating, 16783] -> a^(-8) - a^(-6) + a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[14, Alternating, 16784] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (7*z^2)/a^8 - (12*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 + (9*z^4)/a^8 - (17*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16785] -> a^(-8) + 2/a^6 - 8/a^4 + 6/a^2 + 
   (6*z^2)/a^8 + z^2/a^6 - (26*z^2)/a^4 + (15*z^2)/a^2 + (9*z^4)/a^8 - 
   (10*z^4)/a^6 - (33*z^4)/a^4 + (14*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - 
   (21*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 16786] -> 
  2 + a^(-8) + a^(-6) - 4/a^4 + a^(-2) + 5*z^2 + (3*z^2)/a^8 + z^2/a^6 - 
   (11*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16787] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16788] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16789] -> -a^(-4) + 2/a^2 + 4*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16790] -> a^(-4) - a^4 + a^8 - 4*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 
   2*a^4*z^6, Knot[14, Alternating, 16791] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   15*z^2 - (12*z^2)/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 25*z^4 - (13*z^4)/a^2 + 
   25*a^2*z^4 - 13*a^4*z^4 + 19*z^6 - (6*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 
   7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16792] -> 5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 17*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16793] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 16794] -> a^(-8) - 4/a^4 + 4/a^2 + (9*z^2)/a^8 - 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 + (12*z^4)/a^8 - (20*z^4)/a^6 - 
   (26*z^4)/a^4 + (13*z^4)/a^2 + (6*z^6)/a^8 - (18*z^6)/a^6 - (19*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 16795] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 
   4*z^2 + (5*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 - (16*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16796] -> 6 - 3/a^2 - a^2 - a^4 + 12*z^2 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 14*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16797] -> 4 - 2/a^2 - a^4 + 6*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 16798] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - z^2/a^6 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 16799] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 6*z^2 + z^2/a^4 + 3*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 
   a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, Alternating, 16800] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 + z^2/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 16801] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 + z^2/a^8 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 16802] -> 2 + a^(-8) - 2/a^4 + 4*z^2 + (4*z^2)/a^8 - 
   z^2/a^6 - (10*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (14*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16803] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   23*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 
   3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16804] -> 
  2*a^2 - a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 + 6*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16805] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 + z^4/a^8 - 
   (9*z^4)/a^6 - (10*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[14, Alternating, 16806] -> 4 - 2/a^2 - a^4 + 6*z^2 - 
   z^2/a^6 - z^2/a^4 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 16807] -> a^(-8) - 4/a^4 + 4/a^2 + z^2 + z^2/a^10 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + z^4 + z^4/a^10 + 
   z^4/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 16808] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 10*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (21*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (27*z^4)/a^4 + (36*z^4)/a^2 - 5*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16809] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16810] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (21*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 16811] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16812] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 20*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 - 26*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 16813] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 
   24*a^4*z^2 + 9*a^6*z^2 - 12*z^4 + z^4/a^2 + 28*a^2*z^4 - 34*a^4*z^4 + 
   9*a^6*z^4 - 3*z^6 + 16*a^2*z^6 - 21*a^4*z^6 + 5*a^6*z^6 + 3*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, Alternating, 16814] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16815] -> 2 + a^(-8) - 2/a^4 + 5*z^2 + (3*z^2)/a^8 + 
   z^2/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16816] -> 1 + a^(-8) + a^(-6) - 5/a^4 + 3/a^2 + 
   3*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (18*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (23*z^4)/a^4 + z^6 + z^6/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16817] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16818] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (15*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 16819] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 5*z^2 - (8*z^2)/a^6 + (14*z^2)/a^4 + 
   (4*z^2)/a^2 - 7*z^4 - (10*z^4)/a^6 + (21*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 16820] -> 
  a^(-8) - 2/a^4 + a^(-2) + a^2 - z^2 + (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 16821] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 + 
   (5*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 19*z^4 + (9*z^4)/a^4 - (13*z^4)/a^2 + 
   10*a^2*z^4 - 15*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 16822] -> -2 + a^(-4) + 2*a^2 - 6*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 16823] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 
   2*z^2 + (5*z^2)/a^8 - (10*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16824] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 16825] -> 
  1 + z^2 + z^2/a^10 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 16826] -> 3 + a^(-8) - a^(-4) - 2/a^2 + 6*z^2 + 
   (5*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16827] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + (9*z^4)/a^4 - 
   (14*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 16828] -> -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 16829] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16830] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 3*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 16831] -> 
  1 + a^(-8) - a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, Alternating, 16832] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + 
   4*a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 16833] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 5*z^2 + z^2/a^8 - (2*z^2)/a^4 + 
   a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 16834] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 16835] -> 3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16836] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16837] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 16838] -> 1 + 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (8*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16839] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (3*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 16840] -> -5 + 3/a^2 + 3*a^2 - 22*z^2 - 
   z^2/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16841] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 16842] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16843] -> 
  -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 16844] -> -2/a^6 + 3/a^4 - z^2/a^12 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 - (5*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16845] -> 
  -5 + 3/a^2 + 3*a^2 - 18*z^2 - z^2/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16846] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16847] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   6*a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 3*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 16848] -> -1 + 3*a^2 - a^6 - 2*z^2 - z^2/a^2 + 
   7*a^2*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 16849] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - (2*z^2)/a^2 + 
   6*a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 16850] -> 
  -a^(-6) + a^(-4) + a^(-2) + (5*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + (8*z^4)/a^8 - (13*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 16851] -> -a^(-4) + 2/a^2 + 2*z^2 + (3*z^2)/a^8 - 
   z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16852] -> 3*a^6 - a^8 - a^10 - 3*a^4*z^2 + 
   14*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - 7*a^4*z^4 + 19*a^6*z^4 + 2*a^8*z^4 - 
   4*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 7*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 16853] -> a^4 + a^6 - a^10 - a^2*z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 - a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 16854] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16855] -> -1 + 3*a^2 - a^6 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 7*a^2*z^4 - 
   9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 16856] -> 
  a^2 + a^4 - a^6 + 2*z^2 - z^2/a^4 + a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^6*z^4 - z^6 - 3*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 16857] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6, Knot[14, Alternating, 16858] -> -1 + 3*a^2 - a^6 - z^2/a^4 + 
   5*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, Alternating, 16859] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^4 + 4*a^2*z^4 - 2*z^6 - (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 16860] -> a^(-12) - 3/a^10 + 3/a^6 + 
   z^2/a^12 - (3*z^2)/a^10 + (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 - 
   z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 16861] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (19*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16862] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (13*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16863] -> -2 + 7*a^2 - 5*a^4 + a^6 - 12*z^2 + 
   (2*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   29*a^2*z^4 - 14*a^4*z^4 + 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16864] -> 2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + 5*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 16865] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16866] -> -6 + 3/a^2 + 5*a^2 - a^4 - 22*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 16867] -> -2 + a^(-4) + 2*a^2 - 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 16868] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16869] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16870] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16871] -> 4*a^6 - 3*a^8 - 4*a^4*z^2 + 19*a^6*z^2 - 
   11*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - 8*a^4*z^4 + 25*a^6*z^4 - 8*a^8*z^4 - 
   5*a^4*z^6 + 16*a^6*z^6 + 2*a^8*z^6 - 3*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   4*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 16872] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - z^4/a^8 - z^4/a^6 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16873] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^10 - 
   z^2/a^8 + z^2/a^4 + z^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16874] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16875] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^8 - 
   z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 16876] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 16877] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16878] -> 
  a^2 + a^8 - a^10 - z^2 + 3*a^2*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + 
   2*a^2*z^4 + 2*a^8*z^4 - a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 16879] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^2 + a^4*z^2 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16880] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16881] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + a^2*z^2 + 
   17*a^4*z^2 - 9*a^6*z^2 - 6*z^4 + 6*a^2*z^4 + 23*a^4*z^4 - 10*a^6*z^4 - 
   4*z^6 + 9*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16882] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 - z^2/a^2 + 7*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - (2*z^4)/a^2 + 10*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 16883] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 22*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16884] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16885] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 + z^2/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16886] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 16887] -> -1 + 3*a^2 - a^6 - 2*z^2 - z^2/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 16888] -> -a^(-4) + 2/a^2 + (6*z^2)/a^8 - 
   (8*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + (9*z^4)/a^8 - (18*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 16889] -> 2*a^2 - a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 12*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16890] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^8 - 
   z^2/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16891] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16892] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 14*z^2 - 
   (8*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 21*z^4 - (9*z^4)/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + 15*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 16893] -> 4 - 2/a^2 - a^4 + 8*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 2*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 16894] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + 5*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 
   6*z^4 + 8*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 16895] -> 
  -7 + 4/a^2 + 4*a^2 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 - z^4/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16896] -> 
  2/a^4 - 2/a^2 + a^4 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 16897] -> a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^8 - 
   (6*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + (8*z^4)/a^8 - (16*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 16898] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16899] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16900] -> a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16901] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 16902] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16903] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16904] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 + 
   3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, Alternating, 16905] -> 
  a^(-2) - a^4 + a^6 - 7*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16906] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16907] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 10*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16908] -> -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16909] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16910] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16911] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 16912] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (8*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 16913] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 + z^2/a^8 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16914] -> 3*a^4 - 2*a^6 + z^2 - (2*z^2)/a^2 + 
   a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16915] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16916] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 16917] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 16918] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16919] -> -3 - 4/a^4 + 8/a^2 - 10*z^2 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (22*z^2)/a^2 - 12*z^4 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   (27*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (11*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 16920] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16921] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   11*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16922] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 15*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 
   19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16923] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + (4*z^2)/a^10 - (9*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (16*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (14*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 16924] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + z^2/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16925] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16926] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16927] -> 
  1 + a^(-10) - a^(-8) - 2/a^6 + 3/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16928] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16929] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   5*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 - (6*z^4)/a^6 + 
   (10*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 16930] -> a^(-10) - a^(-8) + a^(-6) - 
   4/a^4 + 4/a^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (8*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (13*z^4)/a^6 - (20*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 16931] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 16932] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16933] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16934] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 12*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16935] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (13*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (18*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (14*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 16936] -> 
  2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16937] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 - 
   z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 - (5*z^4)/a^6 + z^4/a^4 + 
   (24*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 16938] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + (5*z^4)/a^8 - (5*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 16939] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 16940] -> 
  2 + a^(-10) - a^(-8) - 2/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16941] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 12*z^2 + 
   z^2/a^6 - (16*z^2)/a^4 + (30*z^2)/a^2 - 13*z^4 - (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - (4*z^6)/a^6 + (6*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 16942] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 16943] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 23*z^2 - 
   z^2/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16944] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16945] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16946] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   13*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16947] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 16948] -> 
  1 + a^(-2) - a^2 - a^4 + a^8 - 4*z^2 + (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 16949] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16950] -> 1 + a^(-2) - 2*a^2 + a^6 - 6*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 16951] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16952] -> -3/a^8 + 4/a^6 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^10 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (2*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 16953] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (17*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16954] -> 2*a^4 - a^8 - 2*z^2 + 2*a^2*z^2 + 
   5*a^4*z^2 - a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 8*a^4*z^4 - 2*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 16955] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 
   3*a^2 - 15*z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 
   19*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16956] -> 
  a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 16957] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16958] -> 1 + a^(-10) - 2/a^6 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16959] -> 1 + a^(-10) - a^(-8) + a^(-6) - 3/a^4 + 
   2/a^2 + 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16960] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 16961] -> -4 + a^(-8) - a^(-6) + 2/a^2 + 3*a^2 - 
   10*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 16962] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + z^4/a^8 - 
   (7*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[14, Alternating, 16963] -> 
  a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 16964] -> 
  a^2 + a^6 - a^8 + z^2 - z^2/a^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   z^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 
   2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 16965] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16966] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 16967] -> 
  a^(-2) - a^4 + a^6 - 4*z^2 + z^2/a^4 + z^2/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 16968] -> 
  a^(-10) - a^(-6) - 3/a^4 + 4/a^2 + (6*z^2)/a^10 - (9*z^2)/a^8 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + (5*z^4)/a^10 - (18*z^4)/a^8 + 
   (10*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (12*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 16969] -> 
  2 + a^(-10) - 2/a^6 + a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16970] -> 2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + 
   3*z^2 + (3*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 - (5*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16971] -> a^(-10) - a^(-8) + a^(-6) - 2/a^4 + a^(-2) + 
   a^2 - z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 16972] -> 
  -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 18*z^2 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 16973] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 16974] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 8*z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   5*a^2*z^2 - 14*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 16975] -> -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 
   6*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16976] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (3*z^2)/a^8 - 
   (8*z^2)/a^4 - z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (11*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16977] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 16978] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   10*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 16979] -> -1 + a^(-6) - a^(-4) + a^(-2) + 
   a^4 - 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 16980] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16981] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + 
   (6*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   (5*z^4)/a^10 - (18*z^4)/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 16982] -> 1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 
   2*z^2 + (3*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^4 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 16983] -> 
  2 + a^(-10) - a^(-8) - a^(-2) + 3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16984] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - (4*z^2)/a^6 + 
   z^2/a^4 + (12*z^2)/a^2 - 9*z^4 - (8*z^4)/a^6 + (11*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 16985] -> -a^(-4) + 2/a^2 - z^2 - (3*z^2)/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 16986] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 - 8*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 16987] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 16988] -> -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 16989] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 
   8*z^4 + (9*z^4)/a^4 - (18*z^4)/a^2 + 6*a^2*z^4 - 9*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 16990] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 16991] -> 1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 
   2*z^2 + (3*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 16992] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 - (5*z^2)/a^6 + 
   (2*z^2)/a^4 + (14*z^2)/a^2 - 10*z^4 - (9*z^4)/a^6 + (13*z^4)/a^4 + 
   (19*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 16993] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 16994] -> 2*a^2 - a^4 + z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 16995] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 16996] -> 
  -2 + a^(-4) + 2*a^2 - z^2 + (3*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 16997] -> 
  1 + 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 16998] -> 1 + a^(-10) - 4/a^6 + 4/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 16999] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 17000] -> 1 + a^(-6) - 2/a^2 + a^2 - 
   4*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17001] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 
   2*a^2 - 14*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 
   21*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 17002] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 17003] -> a^(-10) - a^(-8) + a^2 - 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^4 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, Alternating, 17004] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 17005] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 20*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17006] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17007] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   26*a^4*z^4 + 17*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17008] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^4 - 
   z^2/a^2 - a^4*z^2 + a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 17009] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17010] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 5*z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17011] -> 2 + a^(-10) - 3/a^6 + 3/a^4 - 2/a^2 + 
   3*z^2 + (3*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17012] -> 
  a^(-10) - a^(-8) + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17013] -> a^2 + a^4 - a^6 + z^2 - z^2/a^4 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 + 3*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 17014] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 
   z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17015] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17016] -> 2 + a^(-10) - a^(-8) - a^(-6) + 2/a^4 - 
   2/a^2 + 3*z^2 + (3*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17017] -> a^(-10) - a^(-8) - a^(-6) + 2/a^4 - a^(-2) + 
   a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17018] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17019] -> -4 + 2/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17020] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17021] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17022] -> 
  2*a^2 - a^4 - (2*z^2)/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + 
   (5*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 17023] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17024] -> 
  -1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + a^(-2) + a^2 - 3*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 + z^4/a^6 + 
   z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, Alternating, 17025] -> 
  2*a^2 - a^4 - (2*z^2)/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^4 + z^6/a^2 + a^2*z^6, Knot[14, Alternating, 17026] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 
   3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 17027] -> a^2 + a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17028] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 17029] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17030] -> 
  -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17031] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17032] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 - 5*z^6 + z^6/a^2 + 7*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17033] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + z^2/a^16 - (9*z^2)/a^14 + 
   (17*z^2)/a^10 + (6*z^2)/a^8 - (5*z^4)/a^14 + (7*z^4)/a^12 + 
   (20*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17034] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (8*z^2)/a^6 - (15*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17035] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - (5*z^2)/a^14 + z^2/a^12 + 
   (9*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + (4*z^4)/a^12 + (8*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 17036] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 17037] -> -a^(-10) + 3/a^8 - 2/a^6 - 
   2/a^4 + 3/a^2 + (6*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4 + z^4/a^10 + (2*z^4)/a^8 - (8*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 17038] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 17039] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) + (5*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 17040] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - (2*z^4)/a^6 - 
   (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 17041] -> a^6 + 3*a^8 - 3*a^10 - 
   4*a^4*z^2 + 12*a^6*z^2 + 7*a^8*z^2 - 6*a^10*z^2 - 8*a^4*z^4 + 20*a^6*z^4 + 
   9*a^8*z^4 - 6*a^10*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 17042] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17043] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17044] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17045] -> a^4 - a^6 + 4*a^8 - 3*a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   8*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 17046] -> 
  3*a^4 - 2*a^6 - 2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + 6*a^2*z^4 + 
   12*a^4*z^4 - 6*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17047] -> 3*a^6 - a^8 - a^10 + 7*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - 4*a^4*z^4 + 9*a^6*z^4 + 8*a^8*z^4 - 5*a^10*z^4 - 4*a^4*z^6 + 
   9*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 17048] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17049] -> 
  a^4 + 2*a^8 - 2*a^10 - a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 17050] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 3*z^2 - z^2/a^2 - 8*a^2*z^2 + 12*a^4*z^2 - 
   4*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17051] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 5*a^4*z^2 - 
   5*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 + 
   8*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 17052] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 17*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17053] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17054] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17055] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17056] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 2*z^2 + 
   13*a^2*z^2 - 23*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   28*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17057] -> -2 + 2/a^2 + a^4 - 12*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17058] -> 2*a^2 - a^4 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + 
   2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17059] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17060] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 12*a^2*z^2 - 19*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 27*a^4*z^4 + 15*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17061] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 + 
   a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 17062] -> 1 + z^2/a^8 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 17063] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17064] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17065] -> 
  3*a^6 - a^8 - a^10 - z^2 + a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 
   a^10*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 17066] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 - 9*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17067] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + z^4/a^8 + 
   (6*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17068] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17069] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17070] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   27*a^4*z^4 + 16*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17071] -> 1 - a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17072] -> 
  -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 18*a^6*z^4 - 5*a^8*z^4 - a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 17073] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17074] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17075] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17076] -> -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17077] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 17078] -> 3*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 17079] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 17080] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17081] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17082] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17083] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17084] -> a^(-4) - a^(-2) + a^2 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17085] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17086] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + 
   2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17087] -> -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 - 
   2*z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17088] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 
   3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (14*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17089] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 + z^2 - (5*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 
   9*z^4 - (8*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + 12*z^6 - (5*z^6)/a^2 + 
   19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 17090] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 + 3*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   10*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17091] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 + 
   (11*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^8 - (2*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 17092] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^10 - (7*z^4)/a^8 + (21*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17093] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   5*a^2*z^2 - 21*z^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 17094] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - 
   (10*z^2)/a^4 + z^2/a^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 + z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17095] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17096] -> 2*a^2 - a^4 + 2*a^6 - 4*a^8 + 2*a^10 + 
   5*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 + 4*a^2*z^4 - 
   16*a^4*z^4 + 17*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 10*a^4*z^6 + 
   14*a^6*z^6 - 10*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[14, Alternating, 17097] -> 3 - 3*a^2 + a^6 - z^2 + 
   z^2/a^2 - 6*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17098] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 3*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 17099] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 10*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17100] -> -1 - 4/a^6 + 6/a^4 - 4*z^2 - (9*z^2)/a^6 + 
   (18*z^2)/a^4 + z^2/a^2 - 6*z^4 - (10*z^4)/a^6 + (23*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 17101] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 11*z^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + 10*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17102] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17103] -> -3/a^6 + 5/a^4 - a^(-2) - 4*z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 - (6*z^4)/a^6 + 
   (11*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 17104] -> 6 - 3/a^2 - a^2 - a^4 + 12*z^2 - 
   (6*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 13*z^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   5*a^4*z^4 + 10*z^6 - (4*z^6)/a^2 + 9*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17105] -> 1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 13*a^4*z^4 + 
   11*a^6*z^4 - 3*a^8*z^4 - z^6 + 7*a^2*z^6 - 11*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17106] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17107] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*z^2 + 
   8*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 11*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 17108] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 15*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17109] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 + 3*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 
   a^10*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 - 3*a^8*z^4 + a^10*z^4 - 
   2*a^2*z^6 + a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 17110] -> -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 
   11*a^4*z^2 - 2*a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 12*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 2*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 17111] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 
   15*z^4 + (9*z^4)/a^4 - (15*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 17112] -> 
  -4 + 3/a^2 + a^2 + a^4 - 13*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 15*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 17113] -> -a^(-2) + 5*a^2 - 3*a^4 - z^2 - 
   (3*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 4*z^4 - (5*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + 8*z^6 - (4*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17114] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 17115] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 17116] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 17117] -> -1 + a^(-4) + a^4 - 2*z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 17118] -> -1 + 2*a^2 + a^4 - a^8 - z^2 - 
   z^2/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 17119] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + 
   2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 17120] -> 1 + z^2 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   a^10*z^2 - 2*z^4 - 3*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 17121] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, Alternating, 17122] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 5*z^4 - z^4/a^2 + 
   12*a^2*z^4 - 5*a^4*z^4 + 3*z^6 - (3*z^6)/a^2 + 10*a^2*z^6 - 4*a^4*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17123] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 17124] -> -a^(-2) + 5*a^2 - 3*a^4 + 7*z^2 - 
   (7*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 16*z^4 - (9*z^4)/a^2 + 17*a^2*z^4 - 
   9*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17125] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + (6*z^4)/a^4 - 
   (10*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17126] -> a^(-8) - 4/a^4 + 4/a^2 + (7*z^2)/a^8 - 
   (9*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + (9*z^4)/a^8 - (19*z^4)/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 17127] -> 1 - a^(-4) + a^(-2) + a^2 - 
   a^4 + 5*z^2 - (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17128] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + (5*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 17129] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   17*z^2 - z^2/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17130] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - (8*z^2)/a^4 + 
   (18*z^2)/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (22*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (13*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[14, Alternating, 17131] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 - (3*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17132] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 + z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 17133] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   2*z^2 + 12*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 + 3*z^4 + 4*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 + 4*z^6 - 6*a^2*z^6 - 14*a^4*z^6 + 5*a^6*z^6 + 
   z^8 - 5*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 17134] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17135] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17136] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + (5*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 17137] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 6*z^2 - 
   (4*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17138] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17139] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - 
   a^6 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + 4*z^4 - z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 17140] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17141] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 17142] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^2 + z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 17143] -> -2/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17144] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 17145] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^10 - 
   z^4/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17146] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 17147] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 17148] -> 3 - a^(-4) - a^4 + 6*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17149] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (15*z^2)/a^6 - (2*z^2)/a^4 - z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (11*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17150] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (12*z^2)/a^14 + 
   (2*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - (5*z^4)/a^14 + (9*z^4)/a^12 + 
   (22*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17151] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17152] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4 + z^4/a^8 + (6*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6 + z^6/a^8 - (11*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17153] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4 - z^4/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^8 + (6*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17154] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   z^2/a^16 - (12*z^2)/a^14 + (4*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 - 
   (5*z^4)/a^14 + (9*z^4)/a^12 + (21*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 17155] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - 
   (5*z^2)/a^14 - (2*z^2)/a^12 + (13*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 17156] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (6*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + 
   (5*z^4)/a^10 - (11*z^4)/a^8 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17157] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (11*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + (5*z^4)/a^10 - 
   (12*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17158] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17159] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (6*z^4)/a^10 - 
   (10*z^4)/a^8 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17160] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (11*z^2)/a^14 + z^2/a^12 + 
   (18*z^2)/a^10 + (5*z^2)/a^8 - (5*z^4)/a^14 + (7*z^4)/a^12 + 
   (22*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (4*z^6)/a^12 + (8*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17161] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^4)/a^12 + (5*z^4)/a^10 - (15*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17162] -> 
  -3/a^8 + 4/a^6 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + (2*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 17163] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17164] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   z^2/a^16 - (10*z^2)/a^14 - z^2/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 - 
   (5*z^4)/a^14 + (6*z^4)/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + 
   (4*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 17165] -> -a^(-10) - a^(-8) + 3/a^6 + (4*z^2)/a^10 - 
   (10*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17166] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (10*z^2)/a^8 + (17*z^2)/a^6 - (3*z^2)/a^4 - z^4/a^10 - (6*z^4)/a^8 + 
   (19*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (11*z^6)/a^6 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17167] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (5*z^2)/a^14 - (2*z^2)/a^12 + 
   (11*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 + (4*z^4)/a^12 + (10*z^4)/a^10 + 
   (9*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 17168] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17169] -> 
  -a^6 + 7*a^8 - 5*a^10 - 3*a^4*z^2 + 6*a^6*z^2 + 18*a^8*z^2 - 10*a^10*z^2 - 
   7*a^4*z^4 + 14*a^6*z^4 + 20*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 
   13*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 17170] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - a^2*z^2 + 10*a^6*z^2 + 5*a^8*z^2 - 
   4*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 17171] -> 
  5*a^8 - 4*a^10 + 2*a^6*z^2 + 16*a^8*z^2 - 8*a^10*z^2 - 4*a^4*z^4 + 
   5*a^6*z^4 + 21*a^8*z^4 - 9*a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 15*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 17172] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 17*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 15*a^4*z^4 + 2*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17173] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - 
   z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17174] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + 
   (4*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 17175] -> a^6 + 3*a^8 - 3*a^10 + a^4*z^2 + a^6*z^2 + 
   14*a^8*z^2 - 7*a^10*z^2 - 3*a^4*z^4 + 3*a^6*z^4 + 19*a^8*z^4 - 
   8*a^10*z^4 - 4*a^4*z^6 + 7*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 17176] -> 2*a^6 + a^8 - 2*a^10 + a^2*z^2 - a^4*z^2 + 
   6*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 + 
   5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 17177] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - 
   z^6 + 7*a^2*z^6 - 11*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 17178] -> 
  -a^4 + 4*a^6 - 2*a^10 + 8*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 
   9*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 17179] -> -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 
   3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 17180] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 2*a^2*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 15*a^6*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 17181] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 17*a^2*z^2 - 16*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 23*a^4*z^4 + 15*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17182] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 9*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17183] -> -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17184] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   (5*z^2)/a^12 + (11*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   (8*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17185] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (19*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (16*z^4)/a^6 - (11*z^4)/a^4 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17186] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (22*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17187] -> -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 - 
   3*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   21*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 17188] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 17189] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 
   a^10*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 17190] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17191] -> 
  2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 17192] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   13*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17193] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17194] -> 2 - a^(-2) + a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 17195] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17196] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 3*z^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17197] -> -2/a^6 + 3/a^4 - 4*z^2 - (7*z^2)/a^6 + 
   (12*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 - (9*z^4)/a^6 + (17*z^4)/a^4 + 
   (11*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 17198] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (9*z^2)/a^14 - z^2/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 - 
   (4*z^4)/a^14 + (5*z^4)/a^12 + (17*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 17199] -> 6 - 4/a^2 + 2*a^2 - 3*a^4 + 17*z^2 - 
   (10*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 21*z^4 - (10*z^4)/a^2 + 
   15*a^2*z^4 - 9*a^4*z^4 + 15*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17200] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   z^2/a^16 - (10*z^2)/a^14 - z^2/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 - 
   (4*z^4)/a^14 + (6*z^4)/a^12 + (19*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 17201] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 - (4*z^2)/a^14 - (4*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 + (3*z^4)/a^12 + (9*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[14, Alternating, 17202] -> 7 - 4/a^2 - 2*a^4 + 16*z^2 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 19*z^4 - (9*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17203] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 10*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17204] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   16*z^2 + z^2/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   16*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, Alternating, 17205] -> -4 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + 
   a^2 + a^4 - 9*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 5*z^4 + (5*z^4)/a^4 + (2*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 17206] -> 
  a^(-16) - a^(-14) - 4/a^12 + 4/a^10 + a^(-6) - (4*z^2)/a^14 - 
   (3*z^2)/a^12 + (9*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 + 
   (8*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 17207] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (22*z^4)/a^4 + (4*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17208] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 + (2*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (20*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17209] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17210] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + z^4 - 
   (4*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17211] -> -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 7*a^2*z^2 + 
   12*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 - 11*a^2*z^4 + 19*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 - 6*a^2*z^6 + 17*a^4*z^6 + 17*a^6*z^6 - 
   6*a^8*z^6 - a^2*z^8 + 7*a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^4*z^10 + 
   a^6*z^10, Knot[14, Alternating, 17212] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 
   2*z^2 + 9*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + a^2*z^4 + 13*a^4*z^4 + 
   5*a^6*z^4 - 4*a^8*z^4 - z^6 + 3*a^2*z^6 + 9*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 17213] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 17214] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (20*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^6 + 
   z^6/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[14, Alternating, 17215] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   (4*z^2)/a^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 17216] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 3*z^2 - 
   (6*z^2)/a^6 + (11*z^2)/a^4 - 6*z^4 - (7*z^4)/a^6 + (14*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 17217] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 + (4*z^4)/a^4 + 8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - 
   (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 17218] -> -5 - a^(-4) + 5/a^2 + a^2 + 
   a^4 - 10*z^2 - z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 17219] -> -2/a^8 + 2/a^6 + a^(-4) + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17220] -> 
  -2 + 4*a^2 - a^8 - 5*z^2 + 8*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 
   4*z^4 + 7*a^2*z^4 + 10*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 17221] -> -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - 2*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, Alternating, 17222] -> 
  1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 17223] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^4 + z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17224] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17225] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17226] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^6 + (5*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 17227] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^4)/a^10 - (6*z^4)/a^8 + (21*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (13*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17228] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17229] -> -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 + 2*z^4 + 7*a^2*z^4 - 16*a^4*z^4 + 
   7*a^6*z^4 + 4*z^6 - 5*a^2*z^6 - 13*a^4*z^6 + 5*a^6*z^6 + z^8 - 5*a^2*z^8 - 
   6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 17230] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - z^6 + z^6/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17231] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^4)/a^12 + (2*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17232] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (5*z^2)/a^8 + (11*z^2)/a^6 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17233] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17234] -> 
  3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + (4*z^2)/a^16 - (24*z^2)/a^14 + 
   (13*z^2)/a^12 + (22*z^2)/a^10 + z^4/a^16 - (19*z^4)/a^14 + (22*z^4)/a^12 + 
   (37*z^4)/a^10 + (3*z^4)/a^8 - (4*z^6)/a^14 + (15*z^6)/a^12 + 
   (22*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 17235] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (10*z^2)/a^14 + (17*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + 
   (5*z^4)/a^12 + (20*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + 
   (7*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17236] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (6*z^2)/a^14 - 
   (8*z^2)/a^12 + (20*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + (2*z^4)/a^12 + 
   (21*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17237] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (4*z^2)/a^14 - z^2/a^12 + 
   (7*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 + (7*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 17238] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 17239] -> -3*a^6 + 11*a^8 - 7*a^10 - 12*a^6*z^2 + 
   47*a^8*z^2 - 22*a^10*z^2 - 25*a^6*z^4 + 83*a^8*z^4 - 31*a^10*z^4 - 
   22*a^6*z^6 + 77*a^8*z^6 - 23*a^10*z^6 - 8*a^6*z^8 + 39*a^8*z^8 - 
   8*a^10*z^8 - a^6*z^10 + 10*a^8*z^10 - a^10*z^10 + a^8*z^12, 
 Knot[14, Alternating, 17240] -> -a^4 + a^6 + 6*a^8 - 5*a^10 - 3*a^4*z^2 + 
   6*a^6*z^2 + 20*a^8*z^2 - 11*a^10*z^2 - 7*a^4*z^4 + 11*a^6*z^4 + 
   27*a^8*z^4 - 12*a^10*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 17241] -> -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 
   5*a^4*z^2 + 14*a^6*z^2 + 10*a^8*z^2 - 8*a^10*z^2 - 8*a^4*z^4 + 
   18*a^6*z^4 + 17*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 
   14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 17242] -> 
  -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 2*a^4*z^2 + 11*a^6*z^2 + 7*a^8*z^2 - 
   5*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 17243] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (4*z^2)/a^16 - (23*z^2)/a^14 + 
   (12*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (18*z^4)/a^14 + 
   (23*z^4)/a^12 + (28*z^4)/a^10 + (7*z^4)/a^8 - (4*z^6)/a^14 + 
   (15*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 17244] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (9*z^2)/a^14 - 
   (2*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (18*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17245] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 2*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (16*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17246] -> 
  -a^2 + 2*a^4 + 3*a^8 - 3*a^10 - 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 + 10*a^8*z^4 - 
   4*a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[14, Alternating, 17247] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 8*z^2 - z^2/a^6 + (7*z^2)/a^2 + 
   7*a^2*z^2 - a^6*z^2 - 8*z^4 + (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6, 
 Knot[14, Alternating, 17248] -> -4 - a^(-8) + 3/a^6 - 8/a^4 + 11/a^2 - 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + (23*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 17249] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 10*a^4*z^2 + 
   28*a^6*z^2 - 3*a^8*z^2 - 5*a^10*z^2 - 12*a^4*z^4 + 32*a^6*z^4 + 
   8*a^8*z^4 - 8*a^10*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 12*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 17250] -> -a^2 + a^4 + 4*a^6 - 2*a^8 - 
   a^10 - 3*a^2*z^2 + 4*a^4*z^2 + 11*a^6*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 13*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 17251] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17252] -> -4 - a^(-8) + 3/a^6 - 8/a^4 + 11/a^2 - 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + (23*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 17253] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (29*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (22*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 + z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17254] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 
   12*a^4*z^2 + 36*a^6*z^2 - 13*a^8*z^2 - 2*a^10*z^2 - 13*a^4*z^4 + 
   39*a^6*z^4 - 2*a^8*z^4 - 5*a^10*z^4 - 6*a^4*z^6 + 22*a^6*z^6 + 7*a^8*z^6 - 
   4*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 5*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 17255] -> -2*a^2 + 5*a^4 - a^6 - a^10 - 
   5*a^2*z^2 + 12*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 - 4*a^2*z^4 + 
   11*a^4*z^4 + 3*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 17256] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17257] -> 2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 
   3/a^6 + z^2/a^14 - (12*z^2)/a^12 + (21*z^2)/a^10 - (13*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^4)/a^12 + (21*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 17258] -> a^(-14) - 3/a^12 + 2/a^10 - 
   2/a^8 + 3/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 + (6*z^4)/a^10 - (2*z^4)/a^8 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17259] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (20*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17260] -> 
  a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 4/a^4 + 3/a^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + z^4 + (6*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[14, Alternating, 17261] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - z^4 - (6*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17262] -> 
  -1 + 2*a^2 + a^6 - a^10 - 2*z^2 + 4*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, Alternating, 17263] -> 6 - 3/a^2 - a^2 - a^4 + 20*z^2 - 
   (10*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 27*z^4 - (12*z^4)/a^2 + 5*a^2*z^4 - 
   7*a^4*z^4 + 19*z^6 - (6*z^6)/a^2 + 11*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17264] -> 4 - a^(-4) - 2*a^2 + 9*z^2 - (3*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 17265] -> 
  -13 - 3/a^4 + 10/a^2 + 10*a^2 - 3*a^4 - 36*z^2 - (5*z^2)/a^4 + 
   (24*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 41*z^4 - (3*z^4)/a^4 + 
   (23*z^4)/a^2 + 23*a^2*z^4 - 3*a^4*z^4 - 24*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17266] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 + z^2/a^14 - (4*z^2)/a^12 + (2*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + 
   (2*z^4)/a^12 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 + (4*z^6)/a^12 - 
   (6*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 17267] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17268] -> 
  -13 - 3/a^4 + 10/a^2 + 10*a^2 - 3*a^4 - 36*z^2 - (5*z^2)/a^4 + 
   (24*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 41*z^4 - (3*z^4)/a^4 + 
   (23*z^4)/a^2 + 23*a^2*z^4 - 3*a^4*z^4 - 24*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17269] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 + z^2/a^14 - (4*z^2)/a^12 + (2*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + 
   (2*z^4)/a^12 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 + (4*z^6)/a^12 - 
   (6*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 17270] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17271] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 18*a^2*z^2 + 44*a^4*z^2 - 19*a^6*z^2 - 
   30*a^2*z^4 + 79*a^4*z^4 - 30*a^6*z^4 - 23*a^2*z^6 + 76*a^4*z^6 - 
   23*a^6*z^6 - 8*a^2*z^8 + 39*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 17272] -> 
  -1 + 6*a^4 - 4*a^6 - 5*z^2 + 2*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 - 8*z^4 + 
   9*a^2*z^4 + 26*a^4*z^4 - 12*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 19*a^4*z^6 - 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17273] -> -2 + 4*a^2 + a^4 - 2*a^6 - 7*z^2 + 
   10*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + 16*a^2*z^4 + 16*a^4*z^4 - 
   9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17274] -> -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 - z^2/a^2 + 
   9*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - z^4 - (2*z^4)/a^2 + 12*a^2*z^4 + 
   7*a^4*z^4 - 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17275] -> 
  -13 - 3/a^4 + 10/a^2 + 10*a^2 - 3*a^4 - 36*z^2 - (5*z^2)/a^4 + 
   (24*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 41*z^4 - (3*z^4)/a^4 + 
   (23*z^4)/a^2 + 23*a^2*z^4 - 3*a^4*z^4 - 24*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17276] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17277] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (23*z^2)/a^14 + (12*z^2)/a^12 + (21*z^2)/a^10 + z^2/a^8 + 
   z^4/a^16 - (18*z^4)/a^14 + (20*z^4)/a^12 + (35*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^6)/a^14 + (14*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 17278] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (9*z^2)/a^14 - z^2/a^12 + 
   (16*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (19*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17279] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (5*z^2)/a^14 - 
   (11*z^2)/a^12 + (23*z^2)/a^10 + (5*z^2)/a^8 - (4*z^4)/a^14 - z^4/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17280] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17281] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 17282] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 17283] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 26*a^2*z^4 - 7*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17284] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 27*a^2*z^4 - 7*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17285] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 27*a^2*z^4 - 7*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17286] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17287] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 
   6*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17288] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 17289] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17290] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 19*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 
   6*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17291] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 8*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, Alternating, 17292] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 - 11*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 17293] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 17294] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 17295] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 - 3*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   15*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17296] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17297] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + 
   a^6 - 13*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17298] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 17299] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 13*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17300] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 23*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17301] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17302] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   16*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - 
   (6*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17303] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 7*z^2 + 
   22*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 27*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17304] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   6*z^2 - (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 7*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 17305] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 16*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 24*z^4 + (7*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 17306] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17307] -> 
  4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 + 8*a^2*z^2 - 19*a^4*z^2 + 
   16*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 7*a^2*z^4 - 26*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17308] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17309] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17310] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17311] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17312] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17313] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 7*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (25*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17314] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17315] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 25*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 17316] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17317] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   13*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17318] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 - z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17319] -> -4 + a^(-4) + a^(-2) + 5*a^2 - 3*a^4 + a^8 - 
   6*z^2 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, Alternating, 17320] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 17321] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 13*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17322] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, Alternating, 17323] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17324] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 + 
   z^2/a^8 - (5*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17325] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 17326] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17327] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - 
   (6*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (8*z^4)/a^10 - 
   (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17328] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 + 
   z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17329] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + (4*z^2)/a^10 - (13*z^2)/a^8 + 
   (18*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (22*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (15*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 17330] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17331] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - z^4/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17332] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^10 + z^2/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17333] -> -2 + a^(-8) - 3/a^4 + 4/a^2 + a^4 - 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 17334] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 - 
   z^2/a^4 - z^4/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17335] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 4*z^2 + 
   4*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 11*a^2*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17336] -> -1 + 2*a^2 + a^4 - a^8 - 2*z^2 - z^2/a^2 + 
   6*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   5*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17337] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 7*z^2 + 17*a^2*z^2 - 10*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 11*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17338] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17339] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 + (5*z^4)/a^8 - (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17340] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (12*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17341] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   3*z^2 + (2*z^2)/a^10 + z^2/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^2 - (2*z^6)/a^8 + 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17342] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + 
   z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17343] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 + z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6 + z^6/a^8 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17344] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   (5*z^2)/a^12 + (13*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (9*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17345] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17346] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17347] -> 2/a^16 - 5/a^14 - a^(-12) + 
   5/a^10 + z^2/a^16 - (10*z^2)/a^14 + (17*z^2)/a^10 + (6*z^2)/a^8 - 
   (5*z^4)/a^14 + (6*z^4)/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + 
   (4*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, Alternating, 17348] -> -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - 
   (13*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17349] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2/a^2 + 
   4*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 17350] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + 
   7*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 
   5*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17351] -> a^2 + a^6 - a^8 - z^2 - z^2/a^2 + 
   4*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 17352] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17353] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (16*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (21*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, Alternating, 17354] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 9*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17355] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 17356] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   z^2 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 17357] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 13*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17358] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17359] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (15*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17360] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17361] -> 
  1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 17362] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + 
   a^6 - 16*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   24*z^4 + (7*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17363] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 17364] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17365] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17366] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 17367] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17368] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 
   17*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + 
   (6*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17369] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   11*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 17370] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17371] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (8*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (11*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17372] -> -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 
   17*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + 
   (6*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17373] -> -4 + 3/a^2 + 3*a^2 - 2*a^4 + a^8 - 11*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 17374] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^2 - 
   z^4/a^10 - (6*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17375] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 17376] -> -4 + 3/a^2 + 2*a^2 - a^6 + a^8 - 
   11*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 17377] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17378] -> 
  2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + (2*z^2)/a^12 - z^2/a^10 - (11*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - (18*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17379] -> -3 + a^(-8) - 2/a^4 + 3/a^2 + a^2 + a^4 - 
   4*z^2 + z^2/a^8 - (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 17380] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 17381] -> 
  -3 + a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + a^8 - 7*z^2 + z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, Alternating, 17382] -> -2 + a^(-8) - 2/a^4 + 3/a^2 - a^2 + 2*a^4 - 
   z^2 + z^2/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, Alternating, 17383] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 5*z^2 - (8*z^2)/a^4 + (20*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - (6*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - z^6/a^6 + z^6/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[14, Alternating, 17384] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17385] -> -2 + a^(-8) - 2/a^4 + 3/a^2 + a^6 - 3*z^2 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, Alternating, 17386] -> a^(-10) - 5/a^8 + 5/a^6 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^4 - z^2/a^2 - (2*z^4)/a^10 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17387] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 17388] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   2*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 17389] -> a^(-8) - 2/a^6 + 2/a^2 + 
   (4*z^2)/a^10 + (2*z^2)/a^8 - (11*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (19*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 17390] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - z^4/a^8 - 
   (9*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17391] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^10 + (3*z^2)/a^8 - 
   (11*z^2)/a^6 + (6*z^2)/a^2 + (4*z^4)/a^10 - (2*z^4)/a^8 - (18*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 17392] -> a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 + (2*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - z^4/a^8 - (8*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17393] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 17394] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   z^4 - z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, Alternating, 17395] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 17396] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   z^2 + z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   z^4 - z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, Alternating, 17397] -> -1 + a^(-8) - 2/a^4 + 2/a^2 + a^4 - 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 17398] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17399] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 - z^4/a^8 - 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2, Knot[14, Alternating, 17400] -> 
  -3 + a^(-8) - a^(-4) + a^(-2) + 3*a^2 - 10*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + z^4/a^8 - 
   (7*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17401] -> -2 + a^(-8) - a^(-4) + a^(-2) + a^2 + a^4 - 
   4*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 17402] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 5*a^2*z^2 - 
   2*a^4*z^2 - 5*z^4 - z^4/a^6 + (5*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 17403] -> -5 + a^(-8) - a^(-4) + 2/a^2 + 4*a^2 - 
   12*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17404] -> -1 + a^(-8) - a^(-4) + a^(-2) - a^2 + 
   2*a^4 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 - (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 17405] -> 
  1 + a^(-8) + a^(-6) - 5/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 + z^4/a^8 - 
   (9*z^4)/a^6 - (11*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[14, Alternating, 17406] -> -1 + a^(-8) - a^(-4) + a^(-2) + 
   a^6 - 2*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + z^4/a^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[14, Alternating, 17407] -> -2 - 2/a^8 + 3/a^6 - 3/a^4 + 5/a^2 - 8*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + (24*z^2)/a^2 - 9*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (29*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17408] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17409] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 20*z^2 + (6*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 31*z^4 + (9*z^4)/a^2 + 32*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   21*z^6 + (5*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 17410] -> 
  2*a^2 - 2*a^6 + a^8 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 12*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + 
   3*a^2*z^6 - 10*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 17411] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (6*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 
   17*z^4 + (11*z^4)/a^4 - (17*z^4)/a^2 + 11*a^2*z^4 - 17*z^6 + (6*z^6)/a^4 - 
   (17*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 17412] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   4*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - z^4/a^4 - (13*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 17413] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 21*a^2*z^2 + 48*a^4*z^2 - 22*a^6*z^2 - 
   40*a^2*z^4 + 102*a^4*z^4 - 40*a^6*z^4 - 29*a^2*z^6 + 98*a^4*z^6 - 
   29*a^6*z^6 - 9*a^2*z^8 + 47*a^4*z^8 - 9*a^6*z^8 - a^2*z^10 + 11*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 17414] -> 
  -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + 23*a^4*z^2 - 13*a^6*z^2 - 11*z^4 + 
   12*a^2*z^4 + 34*a^4*z^4 - 16*a^6*z^4 - 6*z^6 + 16*a^2*z^6 + 24*a^4*z^6 - 
   7*a^6*z^6 - z^8 + 7*a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17415] -> 3*a^4 - 2*a^6 - 8*z^2 + 8*a^2*z^2 + 
   12*a^4*z^2 - 9*a^6*z^2 - 12*z^4 + 20*a^2*z^4 + 21*a^4*z^4 - 12*a^6*z^4 - 
   6*z^6 + 18*a^2*z^6 + 18*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17416] -> 
  3*a^4 - 2*a^6 - 4*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 - 
   (3*z^4)/a^2 + 16*a^2*z^4 + 9*a^4*z^4 - 5*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   10*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17417] -> a^2 + a^4 - a^6 - 6*z^2 + 7*a^2*z^2 + 
   7*a^4*z^2 - 6*a^6*z^2 - 11*z^4 + 17*a^2*z^4 + 17*a^4*z^4 - 11*a^6*z^4 - 
   6*z^6 + 17*a^2*z^6 + 17*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17418] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 + z^4 - (3*z^4)/a^2 + 12*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 17419] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + 
   (3*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 + a^4*z^2 - 16*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 10*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 17420] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 17421] -> -a^2 + 5*a^4 - 3*a^6 - 10*a^2*z^2 + 
   21*a^4*z^2 - 3*a^6*z^2 - 4*a^8*z^2 - 15*a^2*z^4 + 31*a^4*z^4 + 9*a^6*z^4 - 
   10*a^8*z^4 - 7*a^2*z^6 + 23*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 - a^2*z^8 + 
   8*a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[14, Alternating, 17422] -> 3*a^4 - 2*a^6 - 3*z^2 + 10*a^4*z^2 - 
   a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 15*a^4*z^4 + 3*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 4*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 17423] -> 
  a^2 + a^4 - a^6 - 4*z^2 + 3*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + 5*a^2*z^4 + 13*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 17424] -> a^2 + a^4 - a^6 - 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 17425] -> 2*a^2 - a^4 - 3*z^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 11*a^4*z^4 - 
   3*a^8*z^4 - z^6 + 4*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 17426] -> 
  1 - z^2 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 17427] -> 2/a^8 - 6/a^6 + 5/a^4 + (21*z^2)/a^8 - 
   (45*z^2)/a^6 + (25*z^2)/a^4 + (40*z^4)/a^8 - (101*z^4)/a^6 + 
   (41*z^4)/a^4 + (29*z^6)/a^8 - (98*z^6)/a^6 + (29*z^6)/a^4 + (9*z^8)/a^8 - 
   (47*z^8)/a^6 + (9*z^8)/a^4 + z^10/a^8 - (11*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[14, Alternating, 17428] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (13*z^2)/a^8 - (22*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 + (16*z^4)/a^8 - 
   (34*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + (7*z^6)/a^8 - (24*z^6)/a^6 - 
   (16*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (8*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 17429] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (9*z^2)/a^8 - (12*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + (12*z^4)/a^8 - (21*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 + 
   (6*z^6)/a^8 - (18*z^6)/a^6 - (18*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17430] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 2*z^2 + 
   (7*z^2)/a^8 - (8*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 3*z^4 + 
   (5*z^4)/a^8 - (9*z^4)/a^6 - (16*z^4)/a^4 + z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17431] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (9*z^2)/a^8 - (11*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 + (12*z^4)/a^8 - 
   (21*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 + (6*z^6)/a^8 - (18*z^6)/a^6 - 
   (18*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 17432] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + 3*z^2 + (5*z^2)/a^8 - (5*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + 3*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17433] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 2*z^2 + (5*z^2)/a^8 - (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - 
   (14*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17434] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17435] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - (2*z^2)/a^2 + 
   4*a^4*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 17436] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 4*z^2 + 
   (7*z^2)/a^8 - (12*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^8 - (13*z^4)/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^8 - 
   (6*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17437] -> 1 + 2/a^8 - 3/a^6 + a^(-2) + z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 17438] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + (4*z^2)/a^6 + z^2/a^4 - (12*z^2)/a^2 + 
   4*a^2*z^2 - 4*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 17439] -> 
  2*a^2 - a^4 - 8*z^2 + 15*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 - 12*z^4 + 
   25*a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 11*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17440] -> 2 - 3*a^2 + 3*a^4 - a^6 + 7*z^2 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 + 5*z^6 - z^6/a^2 + 3*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17441] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 7*z^4 + 
   z^4/a^6 - z^4/a^4 - (8*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 17442] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + 6*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 
   6*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - z^6 + 4*a^2*z^6 + 
   8*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 17443] -> 2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 17444] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + 
   (5*z^2)/a^8 - z^2/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 + (8*z^4)/a^8 - 
   (8*z^4)/a^6 - (29*z^4)/a^4 + (13*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (20*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 17445] -> 
  2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 5*z^2 + (5*z^2)/a^8 - (9*z^2)/a^6 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 4*z^4 + (4*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17446] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   (18*z^2)/a^4 + (9*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 + z^4/a^6 - 
   (25*z^4)/a^4 + (5*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (14*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17447] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (8*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 
   21*z^4 + (12*z^4)/a^4 - (20*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 + (6*z^6)/a^4 - 
   (18*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 17448] -> 
  -5 + 3/a^2 + 3*a^2 - 15*z^2 + (4*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 + 
   2*a^4*z^2 - 18*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 3*a^4*z^4 - 10*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 17449] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 17450] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 + z^6/a^2 + a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 17451] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 3*z^2 + 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   3*z^4 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4, 
 Knot[14, Alternating, 17452] -> a^(-2) - a^2 + a^4 - z^2/a^4 - a^2*z^2 + 
   a^4*z^2 - a^8*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, Alternating, 17453] -> 2/a^8 - 3/a^6 + a^(-4) + a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, Alternating, 17454] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 - (7*z^2)/a^6 + (11*z^2)/a^4 + 
   (5*z^2)/a^2 - 8*z^4 - (9*z^4)/a^6 + (17*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 17455] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - (3*z^2)/a^6 + z^2/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 17456] -> 
  2*a^2 - a^4 - 8*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 
   16*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 14*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 17457] -> 
  a^2 + a^4 - a^6 - (4*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 4*z^4 - 
   (4*z^4)/a^2 + 16*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   10*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17458] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 17459] -> 2*a^2 - a^4 - z^2 - (2*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 
   6*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 17460] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + a^2*z^2 + z^4/a^8 - 
   (2*z^4)/a^6 - (8*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 17461] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 17462] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 17463] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 17464] -> 1 + z^2 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4, Knot[14, Alternating, 17465] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   4*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17466] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 17467] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 15*z^2 - 
   (13*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 29*z^4 - (16*z^4)/a^2 + 
   29*a^2*z^4 - 16*a^4*z^4 + 23*z^6 - (7*z^6)/a^2 + 23*a^2*z^6 - 7*a^4*z^6 + 
   8*z^8 - z^8/a^2 + 8*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17468] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 13*z^2 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 20*z^4 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 11*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17469] -> 4 - 2/a^2 - a^4 + 12*z^2 - (4*z^2)/a^4 - 
   z^2/a^2 - 4*a^4*z^2 + 17*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + 10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 17470] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + z^2 - (6*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 
   3*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 23*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + 
   5*z^6 - z^6/a^2 + 12*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 17471] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   6*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 
   9*z^4 - z^4/a^4 + z^4/a^2 + 9*a^2*z^4 + a^4*z^4 - a^6*z^4 + 3*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 17472] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 - a^6*z^2 + 8*z^4 - z^4/a^4 + z^4/a^2 + 7*a^2*z^4 - a^6*z^4 + 
   3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 17473] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + (13*z^2)/a^8 - (15*z^2)/a^6 - 
   (15*z^2)/a^4 + (14*z^2)/a^2 + (16*z^4)/a^8 - (29*z^4)/a^6 - (29*z^4)/a^4 + 
   (16*z^4)/a^2 + (7*z^6)/a^8 - (23*z^6)/a^6 - (23*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (8*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17474] -> 1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 4*z^2 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (20*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 17475] -> 2 + 2/a^8 - 2/a^6 - a^(-4) + 
   5*z^2 + (5*z^2)/a^8 - (3*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + 4*z^4 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 - (17*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 17476] -> -1 + a^(-2) + a^2 - 9*z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17477] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 17478] -> 2 + 2/a^8 - 2/a^6 - a^(-4) + 
   4*z^2 + (3*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + 
   z^4/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 17479] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 
   7*a^4*z^2 - 13*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17480] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 + 
   6*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 17481] -> 
  2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 - 
   3*z^4 - (3*z^4)/a^2 + 25*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 15*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17482] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 17483] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^6 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 17484] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 - z^2/a^2 + 
   7*a^2*z^2 - 3*a^6*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 17485] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^6 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 6*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 17486] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^6 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 4*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, Alternating, 17487] -> 2/a^8 - 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 17488] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (16*z^4)/a^4 + (21*z^4)/a^2 - z^6 - z^6/a^8 + (9*z^6)/a^6 - (14*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 17489] -> -2 - 3/a^4 + 6/a^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17490] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^6 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17491] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^6 + 2*a^2*z^2 + a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17492] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 - (2*z^2)/a^6 + z^2/a^4 + 3*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 17493] -> 2*a^2 - a^4 + z^2 - z^2/a^6 + 3*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 17494] -> 
  1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 3*z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   (16*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 + z^4/a^6 - 
   (24*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (14*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17495] -> 2 - a^(-6) + a^(-4) - a^2 + 6*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17496] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 17497] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 17498] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 + z^2/a^8 - z^2/a^6 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 17499] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 2*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17500] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 17501] -> 
  3 + a^(-6) - 2/a^4 - a^2 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   10*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[14, Alternating, 17502] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 17503] -> -a^(-8) + 2/a^4 - (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^4/a^12 + 
   (10*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, Alternating, 17504] -> 
  -2/a^6 + 3/a^4 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - 
   (3*z^6)/a^8 + z^6/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17505] -> 4 - 2/a^2 - a^4 + 9*z^2 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 10*z^4 - z^4/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 17506] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 17507] -> 
  2/a^8 - 7/a^4 + 6/a^2 + (9*z^2)/a^8 - (4*z^2)/a^6 - (27*z^2)/a^4 + 
   (17*z^2)/a^2 + (12*z^4)/a^8 - (16*z^4)/a^6 - (38*z^4)/a^4 + (17*z^4)/a^2 + 
   (6*z^6)/a^8 - (17*z^6)/a^6 - (25*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17508] -> 2 + 2/a^8 - a^(-6) - 3/a^4 + a^(-2) + 
   5*z^2 + (5*z^2)/a^8 - (2*z^2)/a^6 - (13*z^2)/a^4 - z^2/a^2 + 4*z^4 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 - (18*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 17509] -> 3 + 2/a^8 - 2/a^6 - 2/a^2 + 
   7*z^2 + (7*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 - (9*z^2)/a^2 + 5*z^4 + 
   (5*z^4)/a^8 - (12*z^4)/a^6 - (7*z^4)/a^4 - (12*z^4)/a^2 + z^6 + z^6/a^8 - 
   (6*z^6)/a^6 - (5*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17510] -> 1 + 2/a^8 - 2/a^6 - a^(-2) + a^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 17511] -> 
  1 + 2/a^8 - a^(-6) - 4/a^4 + 3/a^2 + 3*z^2 + (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (21*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (28*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17512] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   (3*z^2)/a^2 + a^4*z^2 + a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17513] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 8*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + a^6*z^2 - 13*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17514] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 17515] -> 
  4 + 2/a^8 - 2/a^6 + a^(-4) - 4/a^2 + 8*z^2 + (5*z^2)/a^8 - (7*z^2)/a^6 + 
   z^2/a^4 - (14*z^2)/a^2 + 5*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 - (4*z^4)/a^4 - 
   (14*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - (6*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17516] -> 
  a^(-8) + 4/a^6 - 12/a^4 + 8/a^2 + (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (40*z^2)/a^4 + (20*z^2)/a^2 + (8*z^4)/a^8 - (2*z^4)/a^6 - (47*z^4)/a^4 + 
   (18*z^4)/a^2 + (5*z^6)/a^8 - (11*z^6)/a^6 - (27*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (6*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17517] -> -1 + 2/a^8 - 2/a^6 + 2*a^2 - 5*z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[14, Alternating, 17518] -> 
  2/a^8 - 2/a^6 + a^4 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 - z^4/a^4 - z^4/a^2 - 
   a^2*z^4, Knot[14, Alternating, 17519] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   z^2 + (8*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (18*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17520] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17521] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17522] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 3*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 17523] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17524] -> -3 + 8*a^2 - 4*a^4 - 7*z^2 - (2*z^2)/a^2 + 
   23*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 - 2*z^4 - (3*z^4)/a^2 + 26*a^2*z^4 - 
   5*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - z^6/a^2 + 14*a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17525] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 17526] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 7*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 17527] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + 
   11*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   10*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 12*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 17528] -> -1 + 3*a^2 - a^6 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 17529] -> -1 + 4*a^2 - 2*a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17530] -> 
  2*a^2 - a^4 - z^2/a^4 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 17531] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, Alternating, 17532] -> -1 + 4*a^2 - 2*a^4 - z^2/a^4 + 
   4*a^2*z^2 - a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 17533] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, Alternating, 17534] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (16*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17535] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + 7*a^2*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   12*a^2*z^4 - 5*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   8*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 17536] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 5*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17537] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 11*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17538] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17539] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*z^6 + a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 17540] -> -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 
   8*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 17541] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 6*z^2 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17542] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17543] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 
   21*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 23*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17544] -> -2 + a^(-6) - a^(-4) + 2/a^2 - 
   a^2 + 2*a^4 - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 17545] -> 
  -3 + a^(-6) + 3*a^2 - 15*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 20*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 + z^6/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17546] -> -2 + a^(-6) + a^2 + a^4 - 6*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17547] -> -1 + a^(-6) - a^2 + 2*a^4 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17548] -> 
  -5 + a^(-6) + a^(-2) + 4*a^2 - 20*z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (11*z^2)/a^2 + 8*a^2*z^2 - 23*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (19*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17549] -> -1 + a^(-6) + a^6 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - (2*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, Alternating, 17550] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17551] -> a^(-6) - a^(-2) + a^4 - 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 17552] -> 1 + a^(-6) - a^(-2) - 2*a^2 + 2*a^4 + z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - 8*a^2*z^2 + 3*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17553] -> 
  1 + a^(-6) - a^(-2) - a^2 + a^6 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, Alternating, 17554] -> 
  -2/a^6 + 3/a^4 + z^2 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (9*z^6)/a^4 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17555] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 17556] -> 
  -5 + a^(-4) + 8*a^2 - 3*a^4 - 15*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   7*a^4*z^2 - 19*z^4 - z^4/a^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 7*a^4*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17557] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (6*z^2)/a^12 + (21*z^2)/a^10 + (5*z^2)/a^8 - (5*z^4)/a^14 + (2*z^4)/a^12 + 
   (25*z^4)/a^10 + (11*z^4)/a^8 + (4*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17558] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (12*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + (5*z^4)/a^10 - 
   (17*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (12*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17559] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17560] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 12*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, Alternating, 17561] -> 
  3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   z^4/a^2 + 9*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 17562] -> 2 - a^2 - a^4 + a^6 + z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17563] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 20*z^4 + (6*z^4)/a^2 + 
   23*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17564] -> 1 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17565] -> 
  1 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 8*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17566] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (28*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17567] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4/a^2 + 7*a^2*z^4 - 
   14*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[14, Alternating, 17568] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 - z^4/a^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17569] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17570] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17571] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17572] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17573] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 - z^4/a^8 + (15*z^4)/a^6 - 
   (6*z^4)/a^4 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17574] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + z^4/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6 + z^6/a^8 - (10*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17575] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   13*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 17576] -> -2 + 2/a^2 + 2*a^2 - 2*a^4 + 
   a^8 - 7*z^2 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   7*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17577] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (11*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17578] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 9*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17579] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 8*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 6*a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 4*a^4*z^6 - 
   3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17580] -> 
  2 + a^(-4) - a^(-2) - a^2 - 2*a^4 + 2*a^6 + 3*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 8*a^4*z^2 + 3*a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 17581] -> 
  2 + a^(-4) - a^(-2) - a^2 - a^4 + a^8 - z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 17582] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 - z^6/a^6 + z^6/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[14, Alternating, 17583] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17584] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 
   4*a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 9*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 17585] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (3*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, Alternating, 17586] -> 3 - 3/a^2 + 5*a^2 - 4*a^4 + 13*z^2 - 
   (10*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 22*z^4 - (12*z^4)/a^2 + 
   22*a^2*z^4 - 12*a^4*z^4 + 18*z^6 - (6*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 + 
   7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17587] -> 5 - 3/a^2 + a^2 - 2*a^4 + 12*z^2 - 
   (8*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 17*z^4 - (9*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17588] -> 3 - a^(-4) - a^4 + 8*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + z^4/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 17589] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 15*z^2 - (10*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   21*z^4 - (10*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 15*z^6 - (5*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 17590] -> 4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 
   2*a^10 + 8*a^2*z^2 - 20*a^4*z^2 + 21*a^6*z^2 - 14*a^8*z^2 + 4*a^10*z^2 + 
   5*a^2*z^4 - 22*a^4*z^4 + 23*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 15*a^6*z^6 - 10*a^8*z^6 + a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, Alternating, 17591] -> 
  6 - 3/a^2 - 3*a^2 + 3*a^4 - 2*a^6 + 14*z^2 - (7*z^2)/a^2 - 4*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + 13*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 + 8*a^4*z^4 - 
   4*a^6*z^4 + 6*z^6 - z^6/a^2 + 4*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17592] -> 
  3/a^16 - 10/a^14 + 6/a^12 + 2/a^10 + (4*z^2)/a^16 - (27*z^2)/a^14 + 
   (21*z^2)/a^12 + (17*z^2)/a^10 + z^2/a^8 + z^4/a^16 - (20*z^4)/a^14 + 
   (30*z^4)/a^12 + (29*z^4)/a^10 + (6*z^4)/a^8 - (4*z^6)/a^14 + 
   (17*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 17593] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (11*z^2)/a^14 + 
   (3*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 - (4*z^4)/a^14 + (7*z^4)/a^12 + 
   (19*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17594] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (4*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (18*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 17595] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (4*z^2)/a^14 + z^2/a^12 + 
   (5*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 + (6*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 17596] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - (4*z^2)/a^14 - (3*z^2)/a^12 + 
   (12*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^4)/a^12 + (9*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, Knot[14, Alternating, 17597] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (7*z^4)/a^12 - (13*z^4)/a^10 - z^4/a^8 + 
   (11*z^4)/a^6 + (5*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 17598] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17599] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + z^2/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 - (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17600] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4/a^12 - (6*z^4)/a^8 + z^4/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 17601] -> -a^(-8) + 2/a^4 + z^2/a^12 - (2*z^2)/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 17602] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17603] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 17604] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   19*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 26*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17605] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 17606] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 24*z^2 + (8*z^2)/a^2 + 24*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 34*z^4 + (10*z^4)/a^2 + 29*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 22*z^6 + (5*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 17607] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 17608] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 17609] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17610] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17611] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 17612] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (14*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (13*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 17613] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17614] -> 1 + a^(-10) - a^(-8) - 2/a^6 + 3/a^4 - 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + z^4/a^10 - (7*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17615] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17616] -> -3/a^8 + 4/a^6 - z^2/a^12 + (5*z^2)/a^10 - 
   (7*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + (5*z^4)/a^10 - 
   (9*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17617] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (20*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17618] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17619] -> a^(-12) - 4/a^10 + 2/a^8 + 
   2/a^6 + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17620] -> 
  -3/a^8 + 4/a^6 + (3*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 17621] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17622] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   13*z^2 + (7*z^2)/a^6 - (23*z^2)/a^4 + (29*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (9*z^4)/a^6 - (32*z^4)/a^4 + (32*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (5*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 17623] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17624] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + 
   (5*z^4)/a^10 - (13*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 17625] -> -a^(-10) - a^(-8) + 3/a^6 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17626] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17627] -> a^(-12) - 3/a^10 + 3/a^6 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17628] -> -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - 
   (10*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 17629] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17630] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 17631] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 6*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 4*a^4*z^6 - 3*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17632] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 17633] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 10*a^4*z^4 + 
   2*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17634] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (14*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[14, Alternating, 17635] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - z^2/a^6 + (6*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 + z^4/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 17636] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   24*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17637] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, Alternating, 17638] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 17639] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 - 5*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 17640] -> 
  -2 + a^(-4) + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17641] -> -4 + 3/a^2 + a^2 + a^4 - 6*z^2 + z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17642] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 + z^4/a^10 - 
   (17*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17643] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 - (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 + z^4/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17644] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17645] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 10*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17646] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (12*z^2)/a^8 + (21*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 - (7*z^4)/a^8 + (24*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (14*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17647] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4 - z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17648] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 17649] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17650] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (15*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 17651] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17652] -> a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + 
   (6*z^2)/a^10 - (8*z^2)/a^8 - (4*z^2)/a^4 + (6*z^2)/a^2 + (5*z^4)/a^10 - 
   (17*z^4)/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - 
   (11*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, Alternating, 17653] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 2*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17654] -> 
  a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17655] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (3*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17656] -> 
  -a^(-4) + 2/a^2 + z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17657] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 17658] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17659] -> a^(-10) - a^(-8) - a^(-6) + 
   2/a^2 + (6*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 + (5*z^4)/a^10 - (18*z^4)/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 17660] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 - (5*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17661] -> 1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 
   3*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17662] -> 1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 
   z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17663] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 17664] -> 1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^8 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17665] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (7*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17666] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + 
   (6*z^4)/a^10 - (13*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 17667] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17668] -> 
  a^(-10) - a^(-8) + a^(-6) - 4/a^4 + 4/a^2 + z^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (4*z^4)/a^8 + z^4/a^6 - (9*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 + z^6/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17669] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 + (6*z^2)/a^8 - (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 + (2*z^4)/a^8 - (8*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 17670] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^10 + 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 17671] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17672] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17673] -> 1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^10 - (4*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17674] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - z^2/a^8 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17675] -> -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^10 - 
   z^2/a^8 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 17676] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17677] -> 
  1 - 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 8*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17678] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 + (3*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - z^6/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 17679] -> 
  -2/a^10 + 2/a^8 + a^(-4) + (2*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, Alternating, 17680] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 17681] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17682] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 + z^4 + (3*z^4)/a^4 + 
   3*a^4*z^4 - (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 17683] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   6*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17684] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17685] -> -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 17686] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   z^2 + (3*z^2)/a^8 + z^2/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^4 + (4*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (13*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17687] -> 1 + a^(-10) - a^(-8) + a^(-6) - 3/a^4 + 
   2/a^2 + 3*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^10 - (6*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 17688] -> 
  2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + 2*z^2 + z^2/a^10 - z^2/a^8 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17689] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + z^2 + 
   z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   z^4/a^10 + z^4/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17690] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - (9*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 - (6*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   z^6/a^6 + z^6/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[14, Alternating, 17691] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^2 - a^2*z^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, Alternating, 17692] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17693] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   6*z^2 - (2*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   3*z^4 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 17694] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17695] -> 
  -3 - 4/a^4 + 8/a^2 - 6*z^2 - (10*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 - (6*z^4)/a^4 + (25*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   z^6/a^6 + z^6/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[14, Alternating, 17696] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   18*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17697] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2, Knot[14, Alternating, 17698] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17699] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, Alternating, 17700] -> 
  1 + a^4 - 2*a^6 + a^8 - a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + z^4 - 2*a^2*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17701] -> 
  a^(-10) - 5/a^6 + 5/a^4 + (10*z^2)/a^10 - (5*z^2)/a^8 - (25*z^2)/a^6 + 
   (20*z^2)/a^4 + (15*z^4)/a^10 - (20*z^4)/a^8 - (41*z^4)/a^6 + 
   (21*z^4)/a^4 + (7*z^6)/a^10 - (21*z^6)/a^8 - (29*z^6)/a^6 + (8*z^6)/a^4 + 
   z^8/a^10 - (8*z^8)/a^8 - (9*z^8)/a^6 + z^8/a^4 - z^10/a^8 - z^10/a^6, 
 Knot[14, Alternating, 17702] -> a^(-10) - 4/a^6 + 3/a^4 + a^(-2) + 
   (6*z^2)/a^10 - z^2/a^8 - (15*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 
   (5*z^4)/a^10 - (6*z^4)/a^8 - (22*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (5*z^6)/a^8 - (12*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 17703] -> 
  a^(-10) - 3/a^6 + a^(-4) + 2/a^2 + (4*z^2)/a^10 + z^2/a^8 - (12*z^2)/a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (3*z^4)/a^8 - (19*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 17704] -> a^(-10) - 3/a^6 + a^(-4) + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (2*z^4)/a^8 - (10*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17705] -> 
  a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + (4*z^2)/a^10 + z^2/a^8 - (12*z^2)/a^6 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (3*z^4)/a^8 - (19*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 17706] -> 1 + a^(-10) - 2/a^6 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 + z^2/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^10 - z^4/a^8 - (8*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17707] -> 
  a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + 2*z^2 + (2*z^2)/a^10 + z^2/a^8 - 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - z^4/a^8 - 
   (8*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17708] -> 
  1 + a^(-10) - 3/a^6 + 2/a^4 + 3*z^2 + (3*z^2)/a^10 - z^2/a^8 - 
   (6*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17709] -> 
  1 + a^(-10) - 2/a^6 + a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2, Knot[14, Alternating, 17710] -> 
  a^(-10) - a^(-6) - 3/a^4 + 4/a^2 + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (9*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^10 - (16*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 17711] -> 2 + a^(-10) - 2/a^6 + a^(-4) - a^(-2) + 
   3*z^2 + (2*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 17712] -> a^(-10) - a^(-6) - 3/a^4 + 4/a^2 + z^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + z^4 + 
   z^4/a^10 + z^4/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17713] -> 
  a^(-10) - 2/a^6 + a^(-4) + a^2 - z^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2, Knot[14, Alternating, 17714] -> 
  a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + 2*z^2 + z^2/a^10 + z^2/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + a^2*z^2 - z^4 - z^4/a^8 - (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2, Knot[14, Alternating, 17715] -> 
  a^(-10) - a^(-6) - 3/a^4 + 4/a^2 + (6*z^2)/a^10 - z^2/a^8 - (11*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 + (5*z^4)/a^10 - (6*z^4)/a^8 - (21*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^10 - (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 17716] -> 1 + a^(-10) - a^(-6) - 2/a^4 + 2/a^2 + 
   3*z^2 + (3*z^2)/a^10 + z^2/a^8 - (7*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (2*z^4)/a^8 - (10*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 17717] -> 2 + a^(-10) - a^(-6) - a^(-4) + 3*z^2 + 
   (2*z^2)/a^10 + z^2/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + z^4 + z^4/a^10 - 
   z^4/a^8 - (8*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17718] -> 
  2 + a^(-10) - a^(-6) - a^(-4) + 2*z^2 + z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2, Knot[14, Alternating, 17719] -> 
  a^(-10) - a^(-6) - a^(-4) + a^(-2) + a^2 + z^2/a^10 - (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2, Knot[14, Alternating, 17720] -> 
  1 + a^(-10) - a^(-6) - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 + z^4/a^8 - 
   (9*z^4)/a^6 - (10*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[14, Alternating, 17721] -> a^(-10) + a^(-6) - 7/a^4 + 
   6/a^2 + (4*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (11*z^2)/a^2 + (4*z^4)/a^10 - (3*z^4)/a^8 - (18*z^4)/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 17722] -> 
  2 + a^(-10) - 3/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^10 + z^2/a^8 - 
   (5*z^2)/a^6 - (8*z^2)/a^4 + z^4 + z^4/a^10 - z^4/a^8 - (8*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 17723] -> 3 + a^(-10) - a^(-6) - 2/a^2 + 4*z^2 + 
   (3*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 17724] -> 1 + a^(-10) - a^(-6) - a^(-2) + a^2 + 
   z^2/a^10 - (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, Alternating, 17725] -> 1 + a^(-10) - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   z^4/a^10 + z^4/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 - z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17726] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17727] -> 
  4 + a^(-10) - a^(-6) + a^(-4) - 4/a^2 + 4*z^2 + (2*z^2)/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17728] -> 
  a^(-10) - a^(-8) + 5/a^6 - 12/a^4 + 8/a^2 + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 + (3*z^4)/a^10 - (15*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 17729] -> -1 + a^(-10) - a^(-6) + 2*a^2 - 2*z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   z^4 - z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, Alternating, 17730] -> a^(-10) - a^(-6) + a^4 - 2*z^2 - z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2, 
 Knot[14, Alternating, 17731] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 7*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   3*a^2*z^8 - z^10, Knot[14, Alternating, 17732] -> 
  3 - 4*a^2 + 2*a^4 + 2*z^2 + (2*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 4*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17733] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 + z^2/a^4 - 5*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 17734] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17735] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 + 
   (2*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 3*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17736] -> 2 - 2*a^2 + a^4 + z^2/a^4 - 4*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 17737] -> 3 - 5*a^2 + 4*a^4 - a^6 + z^2 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17738] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 17739] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17740] -> -1 + a^(-2) + 2*a^4 - a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17741] -> 7 - 3/a^2 - 3*a^2 + 7*z^2 - (2*z^2)/a^4 - 
   2*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17742] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^6 + z^2/a^4 + 2*a^2*z^2 - 
   2*a^4*z^2 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 17743] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (7*z^2)/a^4 - 
   (13*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (9*z^4)/a^4 - (20*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17744] -> a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 17745] -> 
  3 - a^(-2) - a^2 + z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 
   6*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 17746] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - (2*z^2)/a^4 - 6*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 17747] -> 1 - (2*z^2)/a^6 + (2*z^2)/a^4 + 2*a^2*z^2 - 
   2*a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 17748] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^6 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 17749] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + (6*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + (7*z^4)/a^4 - (15*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 17750] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17751] -> 
  1 + 2*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, Alternating, 17752] -> 
  3 - a^(-2) - a^2 + z^2 - z^2/a^6 + z^2/a^4 + a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, Alternating, 17753] -> 2 + 3/a^4 - 5/a^2 + a^2 + 2*z^2 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17754] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17755] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 - z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17756] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (9*z^2)/a^8 - (15*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + (10*z^4)/a^8 - (23*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17757] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - 3*z^4 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17758] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 9*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 17759] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 4*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 17760] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 25*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 
   16*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17761] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (18*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (19*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (5*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17762] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 2*z^2 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 17763] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17764] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 17765] -> -3*a^2 + 9*a^4 - 5*a^6 - 
   19*a^2*z^2 + 45*a^4*z^2 - 20*a^6*z^2 - 33*a^2*z^4 + 86*a^4*z^4 - 
   33*a^6*z^4 - 24*a^2*z^6 + 81*a^4*z^6 - 24*a^6*z^6 - 8*a^2*z^8 + 
   40*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 17766] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + 
   3*a^2*z^2 + 19*a^4*z^2 - 11*a^6*z^2 - 9*z^4 + 11*a^2*z^4 + 28*a^4*z^4 - 
   13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17767] -> -2*a^2 + 7*a^4 - 4*a^6 - 6*z^2 + 3*a^2*z^2 + 
   18*a^4*z^2 - 10*a^6*z^2 - 11*z^4 + 16*a^2*z^4 + 23*a^4*z^4 - 12*a^6*z^4 - 
   6*z^6 + 17*a^2*z^6 + 18*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17768] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 + 5*a^4*z^2 - 
   5*a^6*z^2 + z^4 - (3*z^4)/a^2 + 14*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 17769] -> -2 + 5*a^2 - a^4 - a^6 - 11*z^2 + 
   19*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + 28*a^2*z^4 + 11*a^4*z^4 - 
   9*a^6*z^4 - 6*z^6 + 20*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17770] -> -2 + 6*a^2 - 3*a^4 - z^2 - (4*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^6*z^4 + 4*z^6 - z^6/a^2 + 10*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17771] -> 
  2 - a^(-2) + a^4 - a^6 + 6*z^2 - (5*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 - 
   5*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 + 
   5*z^6 - z^6/a^2 + 4*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 17772] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 17773] -> 
  -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + 6*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + 
   15*a^2*z^4 + 16*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17774] -> -1 + 3*a^2 - a^6 - (3*z^2)/a^2 + 8*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17775] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + 6*a^2*z^2 + 12*a^4*z^2 - 8*a^6*z^2 - 
   7*z^4 + 10*a^2*z^4 + 21*a^4*z^4 - 10*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17776] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 - (2*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 - 
   2*z^4 - (3*z^4)/a^2 + 25*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 14*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17777] -> 3*a^4 - 2*a^6 - 4*z^2 + 4*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + 12*a^2*z^4 + 13*a^4*z^4 - 8*a^6*z^4 - 
   5*z^6 + 13*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17778] -> 
  a^2 + a^4 - a^6 - 2*z^2 - z^2/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 
   (2*z^4)/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17779] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   16*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17780] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 
   4/a^2 + z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (16*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17781] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17782] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 17783] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 
   3*a^2 - 15*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 
   15*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17784] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (13*z^4)/a^4 + z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 17785] -> 
  -1 + a^(-4) + a^4 - 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17786] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 17787] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17788] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 20*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17789] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 
   2/a^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 17790] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17791] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   5*z^2 + (2*z^2)/a^6 - z^2/a^4 + 3*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17792] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 - (9*z^4)/a^6 + 
   (15*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 17793] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - 3*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17794] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 13*z^2 - 
   (10*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 22*z^4 - (12*z^4)/a^2 + 
   22*a^2*z^4 - 12*a^4*z^4 + 18*z^6 - (6*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 + 
   7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17795] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 10*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 15*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17796] -> a^(-8) - 2/a^6 + 2/a^2 + (6*z^2)/a^8 - 
   (7*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + (9*z^4)/a^8 - (15*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - (14*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 17797] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 + (3*z^2)/a^8 - (7*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17798] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (8*z^4)/a^4 - 
   (12*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17799] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 17800] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17801] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 17802] -> -2*a^2 + 7*a^4 - 4*a^6 - 19*a^2*z^2 + 
   44*a^4*z^2 - 20*a^6*z^2 - 33*a^2*z^4 + 86*a^4*z^4 - 33*a^6*z^4 - 
   24*a^2*z^6 + 81*a^4*z^6 - 24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 
   8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 17803] -> -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + 2*a^2*z^2 + 
   19*a^4*z^2 - 11*a^6*z^2 - 9*z^4 + 11*a^2*z^4 + 28*a^4*z^4 - 13*a^6*z^4 - 
   5*z^6 + 13*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17804] -> 
  3*a^4 - 2*a^6 - 8*z^2 + 10*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 - 12*z^4 + 
   23*a^2*z^4 + 13*a^4*z^4 - 9*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 13*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17805] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 9*z^2 + 
   11*a^2*z^2 + 11*a^4*z^2 - 9*a^6*z^2 - 12*z^4 + 21*a^2*z^4 + 21*a^4*z^4 - 
   12*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 18*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17806] -> -1 + 3*a^2 - a^6 - 2*z^2 - (3*z^2)/a^2 + 
   10*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 15*a^2*z^4 + 
   6*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17807] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - (4*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 
   2*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 18*a^2*z^4 - 3*a^6*z^4 + 4*z^6 - 
   z^6/a^2 + 10*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17808] -> 3*a^4 - 2*a^6 - 5*z^2 + 3*a^2*z^2 + 
   13*a^4*z^2 - 8*a^6*z^2 - 7*z^4 + 9*a^2*z^4 + 21*a^4*z^4 - 10*a^6*z^4 - 
   4*z^6 + 10*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17809] -> 
  -1 + 3*a^2 - a^6 - 8*z^2 + 12*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + 
   19*a^2*z^4 + 14*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 14*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17810] -> -1 + 4*a^2 - 2*a^4 - z^2 - (3*z^2)/a^2 + 
   10*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17811] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - (4*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 + 
   5*z^6 - z^6/a^2 + 4*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 17812] -> 2*a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 17813] -> 
  2*a^2 - a^4 - 6*z^2 + 11*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + 
   19*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 8*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17814] -> a^2 + a^4 - a^6 - 5*z^2 + 6*a^2*z^2 + 
   6*a^4*z^2 - 5*a^6*z^2 - 9*z^4 + 14*a^2*z^4 + 14*a^4*z^4 - 9*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17815] -> 
  1 - a^2 + 2*a^4 - a^6 - (2*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   2*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17816] -> -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 - 
   (2*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 - 2*z^4 - (3*z^4)/a^2 + 24*a^2*z^4 - 
   6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - z^6/a^2 + 14*a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17817] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 
   4*z^6 - z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 17818] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 
   2*a^2 - 5*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17819] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   2*z^2 + (3*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17820] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17821] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17822] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17823] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (19*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 17824] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17825] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17826] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17827] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 11*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 18*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17828] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 17829] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (18*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17830] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + 2*a^2*z^2 - 6*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17831] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 12*z^2 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 + (22*z^2)/a^2 - 13*z^4 - (9*z^4)/a^6 + 
   (12*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 17832] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 17833] -> 
  -2 - 3/a^4 + 6/a^2 - 8*z^2 - (5*z^2)/a^6 + (2*z^2)/a^4 + (14*z^2)/a^2 - 
   10*z^4 - (9*z^4)/a^6 + (13*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + 
   (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 17834] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 17835] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - 
   6*z^4 - (6*z^4)/a^6 + (9*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 17836] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 13*z^2 - (11*z^2)/a^2 + 14*a^2*z^2 - 
   11*a^4*z^2 + 24*z^4 - (13*z^4)/a^2 + 24*a^2*z^4 - 13*a^4*z^4 + 19*z^6 - 
   (6*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - z^8/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 17837] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 11*z^2 - (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 17*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 
   10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 17838] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 + 6*z^2 - (5*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 
   14*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17839] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 - 
   z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 17840] -> 
  4 - 2/a^2 - a^4 + 10*z^2 - (3*z^2)/a^4 - z^2/a^2 - 3*a^4*z^2 + 13*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17841] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 17842] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (11*z^2)/a^8 - (18*z^2)/a^6 - z^2/a^4 + 
   (7*z^2)/a^2 + (13*z^4)/a^8 - (28*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + 
   (6*z^6)/a^8 - (20*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17843] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 + (5*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17844] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (8*z^2)/a^8 - (15*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + (10*z^4)/a^8 - 
   (22*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (16*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 17845] -> 
  -3 - 2/a^6 + 6/a^2 - 9*z^2 - (4*z^2)/a^6 + z^2/a^4 + (18*z^2)/a^2 - 
   10*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 17846] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + (4*z^2)/a^10 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (3*z^4)/a^8 - (21*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 17847] -> 1 + 2/a^8 - 3/a^6 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (8*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 17848] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + (6*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 
   16*z^4 + (9*z^4)/a^4 - (15*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 17849] -> 
  -a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + (6*z^4)/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17850] -> 3 - 2/a^6 + 2/a^4 - 2*a^2 + 7*z^2 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - 
   (4*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17851] -> -1 + a^(-2) + a^2 - 6*z^2 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + (9*z^4)/a^4 - (14*z^4)/a^2 + 
   9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17852] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 17853] -> 1 + 2/a^4 - 3/a^2 + a^2 + (3*z^2)/a^6 + 
   z^2/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 17854] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + 
   (6*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17855] -> 
  -a^2 + 5*a^4 - 3*a^6 - 14*a^2*z^2 + 33*a^4*z^2 - 15*a^6*z^2 - 29*a^2*z^4 + 
   73*a^4*z^4 - 29*a^6*z^4 - 23*a^2*z^6 + 75*a^4*z^6 - 23*a^6*z^6 - 
   8*a^2*z^8 + 39*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[14, Alternating, 17856] -> 3*a^4 - 2*a^6 - 4*z^2 + 
   16*a^4*z^2 - 9*a^6*z^2 - 8*z^4 + 8*a^2*z^4 + 25*a^4*z^4 - 12*a^6*z^4 - 
   5*z^6 + 12*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17857] -> 
  a^2 + a^4 - a^6 - 6*z^2 + 7*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + 
   15*a^2*z^4 + 15*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17858] -> a^2 + a^4 - a^6 - 4*z^2 - z^2/a^2 + 
   7*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - z^4 - (2*z^4)/a^2 + 12*a^2*z^4 + 
   7*a^4*z^4 - 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 17859] -> 
  2*a^2 - a^4 - 6*z^2 + 11*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 11*z^4 + 
   21*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 11*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 17860] -> 1 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^6*z^2 + 
   2*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17861] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17862] -> 3*a^2 - 3*a^4 + a^6 - 8*z^2 + 18*a^2*z^2 - 
   11*a^4*z^2 + a^6*z^2 - 12*z^4 + 28*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 - 
   6*z^6 + 20*a^2*z^6 + 6*a^4*z^6 - 4*a^6*z^6 - z^8 + 7*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 17863] -> 
  2 - 2*a^2 + a^4 + 7*z^2 - (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 
   9*z^4 - (4*z^4)/a^2 + 5*a^4*z^4 - 3*a^6*z^4 + 5*z^6 - z^6/a^2 + 
   3*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 17864] -> a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + z^6/a^2 + a^2*z^6 + 
   a^4*z^6, Knot[14, Alternating, 17865] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 
   14*z^2 - (6*z^2)/a^6 - z^2/a^4 + (27*z^2)/a^2 - 14*z^4 - (9*z^4)/a^6 + 
   (10*z^4)/a^4 + (33*z^4)/a^2 - 6*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 17866] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 
   5*z^2 - (2*z^2)/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (14*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 17867] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (3*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + (8*z^4)/a^8 - 
   (10*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 17868] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + 
   (5*z^2)/a^2 + (3*z^4)/a^10 + z^4/a^8 - (17*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 17869] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 7*z^2 - (9*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 
   20*z^4 - (12*z^4)/a^2 + 26*a^2*z^4 - 13*a^4*z^4 + 18*z^6 - (6*z^6)/a^2 + 
   19*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 17870] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   10*z^2 - (3*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 16*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17871] -> 2 - a^(-2) + a^2 - a^4 + 8*z^2 - 
   (4*z^2)/a^4 + z^2/a^2 - 3*a^4*z^2 + 14*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 17872] -> 
  2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   5*z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 17873] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + (9*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 
   9*z^4 + (12*z^4)/a^4 - (25*z^4)/a^2 + 8*a^2*z^4 - 12*z^6 + (6*z^6)/a^4 - 
   (19*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 17874] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + (3*z^2)/a^6 + z^2/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 17875] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + (10*z^2)/a^4 - (13*z^2)/a^2 + 8*a^2*z^2 - 
   15*z^4 + (13*z^4)/a^4 - (26*z^4)/a^2 + 10*a^2*z^4 - 14*z^6 + (6*z^6)/a^4 - 
   (20*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 17876] -> 
  2 + 3/a^4 - 5/a^2 + a^2 + 3*z^2 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (16*z^2)/a^2 + 3*a^2*z^2 - z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (19*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 17877] -> 
  3 - a^(-6) + a^(-2) - 2*a^2 + 8*z^2 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 10*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 17878] -> 
  1 - a^(-6) + 2/a^2 - a^2 + z^2 - (2*z^2)/a^8 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 17879] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (5*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (11*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17880] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 17881] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 17882] -> -a^(-10) - a^(-8) + 3/a^6 - (4*z^2)/a^10 + 
   (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (7*z^4)/a^10 + (11*z^4)/a^8 + 
   (12*z^4)/a^6 - (6*z^4)/a^4 - (5*z^6)/a^10 + (12*z^6)/a^8 + (12*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 17883] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17884] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17885] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4 - z^4/a^10 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17886] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^2 - z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17887] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^10 + z^4/a^8 + 
   (18*z^4)/a^6 - (7*z^4)/a^4 - (4*z^6)/a^10 + (7*z^6)/a^8 + (14*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 17888] -> -a^(-10) + a^(-6) + a^(-4) - 
   z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17889] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17890] -> 
  -a^(-10) + a^(-6) + a^(-4) - (5*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^4 - 
   (8*z^4)/a^10 + (17*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^6)/a^10 + 
   (14*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 17891] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (3*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^2 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 17892] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (2*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17893] -> -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[14, Alternating, 17894] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^10 + 
   z^4/a^8 + z^4/a^6 + z^4/a^4 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, Alternating, 17895] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^2 + a^2*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17896] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (5*z^4)/a^10 + (8*z^4)/a^8 + (8*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 17897] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17898] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (6*z^2)/a^10 + (11*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (8*z^4)/a^10 + 
   (18*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (7*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 17899] -> 
  -a^(-10) + a^(-8) + a^(-2) - (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17900] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + (12*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17901] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17902] -> -a^(-10) + a^(-8) + a^(-2) - (3*z^2)/a^10 + 
   (7*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17903] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17904] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^4 - z^4 - z^4/a^10 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17905] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17906] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (2*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 17907] -> 5*a^4 - 6*a^6 + 2*a^8 + 2*a^2*z^2 + 
   3*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 4*a^6*z^4 + 
   3*a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 17908] -> 2*a^2 - 2*a^6 + a^8 + z^2 + a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[14, Alternating, 17909] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 17910] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   z^2 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 17911] -> 
  1 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 8*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17912] -> -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 
   5*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 17913] -> 
  -1 + a^(-2) + a^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 17914] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^8 + (4*z^2)/a^4 - z^4/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17915] -> 3 - a^(-2) - a^2 - z^2/a^4 + (2*z^2)/a^2 - 
   7*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 17916] -> 
  -a^(-10) + a^(-8) + a^(-2) + (2*z^2)/a^8 + (2*z^2)/a^2 - z^4 - z^4/a^10 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17917] -> -2/a^6 + 3/a^4 - z^2/a^6 + (4*z^2)/a^4 + 
   z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17918] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17919] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 17920] -> 7 - 3/a^2 - 3*a^2 + 6*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17921] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 17922] -> 
  3*a^4 - 2*a^6 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 5*a^2*z^4 - 
   6*a^4*z^4 - 7*a^6*z^4 + 5*a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 
   4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 17923] -> 4*a^4 - 4*a^6 + a^8 + z^2 - 
   a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 17924] -> 4*a^4 - 4*a^6 + a^8 + 2*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 
   5*a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 17925] -> a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 17926] -> 
  1 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17927] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - 
   a^4*z^2 - 2*z^4 + z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17928] -> 
  -a^(-4) + 2/a^2 - 5*z^2 + z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 17929] -> 1 + 5*z^2 - z^2/a^4 - z^2/a^2 - 
   3*a^2*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 17930] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 - z^4 + z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 
   5*z^6 + z^6/a^2 + 6*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17931] -> 
  -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^10 - 
   z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17932] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 17933] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 + z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 5*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 17934] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   z^4 - 2*a^4*z^4 - a^6*z^4 + a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 17935] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^10 + z^4/a^4 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17936] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 17937] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 - z^2/a^8 + (4*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 17938] -> 
  5 - 2/a^2 - 2*a^2 + 5*z^2 - z^2/a^4 - 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17939] -> 5 - 2/a^2 - 2*a^2 + 7*z^2 - (2*z^2)/a^4 - 
   2*a^2*z^2 - a^4*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 17940] -> 
  -2/a^6 + 3/a^4 - 2*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 17941] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + (6*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17942] -> -2/a^6 + 3/a^4 + 2*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 17943] -> a^4 + 2*a^6 - 2*a^8 + 5*a^4*z^2 - 
   a^6*z^2 + a^8*z^2 + 14*a^4*z^4 - 27*a^6*z^4 + 13*a^8*z^4 + 16*a^4*z^6 - 
   45*a^6*z^6 + 16*a^8*z^6 + 7*a^4*z^8 - 30*a^6*z^8 + 7*a^8*z^8 + a^4*z^10 - 
   9*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[14, Alternating, 17944] -> 
  2*a^4 - a^8 + a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 4*a^2*z^4 - 
   a^4*z^4 - 12*a^6*z^4 + 7*a^8*z^4 + 4*a^2*z^6 - 7*a^4*z^6 - 13*a^6*z^6 + 
   5*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 17945] -> 3*a^4 - 2*a^6 + 6*a^4*z^2 - 
   5*a^6*z^2 + 2*a^8*z^2 + 4*a^2*z^4 - 2*a^4*z^4 - 8*a^6*z^4 + 5*a^8*z^4 + 
   4*a^2*z^6 - 8*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 17946] -> 
  3*a^4 - 2*a^6 + z^2 - a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 
   a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 17947] -> a^2 + a^4 - a^6 + a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 2*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[14, Alternating, 17948] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + a^2*z^4 + 
   6*a^4*z^4 - 10*a^6*z^4 + 5*a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 17949] -> 3*a^4 - 2*a^6 - z^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 + 2*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 17950] -> 3*a^4 - 2*a^6 - 2*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 3*a^2*z^6 - 
   4*a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 17951] -> 
  3*a^4 - 2*a^6 - a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 - 9*a^6*z^6 + 
   4*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 17952] -> a^2 + a^4 - a^6 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + z^4 - 3*a^6*z^4 + 2*a^8*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 17953] -> a^2 + a^4 - a^6 - z^2 + a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 + z^6 - 2*a^2*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[14, Alternating, 17954] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17955] -> a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 - 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 17956] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 3*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   10*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 13*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 17957] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - 
   z^2 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 17958] -> 
  2 + a^(-4) - 2/a^2 + z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 4*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 17959] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (3*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^8 - (9*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17960] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17961] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 6*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 4*z^4 + (6*z^4)/a^4 - (11*z^4)/a^2 + 
   5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17962] -> 1 + z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 17963] -> 4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 6*z^4 + (2*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 17964] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 - 2*z^2 + 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 17965] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + a^2*z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   3*z^4 - z^4/a^2 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17966] -> 
  3 - a^(-2) - a^2 + 3*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 
   2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 17967] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^2 - (3*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 - 2*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 17968] -> a^(-4) - a^(-2) + a^2 + z^2 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 + 2*a^2*z^2 - z^4 + (7*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 17969] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 17970] -> a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^2 + (6*z^4)/a^8 - (13*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 17971] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17972] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 - 2*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 
   4*a^2*z^4 - 8*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17973] -> 2 + a^(-4) - 2/a^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 17974] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 6*a^2*z^2 + 5*a^4*z^2 + 7*z^4 - 
   11*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 + 5*z^6 - 12*a^2*z^6 - 11*a^4*z^6 + 
   5*a^6*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 17975] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 17976] -> 
  3 - a^(-2) - a^2 + z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 17977] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 - 5*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17978] -> 2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - a^2*z^2 - a^4*z^2 - z^4/a^6 + (5*z^4)/a^4 + 4*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 17979] -> 1 - a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + 3*z^4 + z^4/a^2 - 7*a^2*z^4 + 2*a^6*z^4 - z^6 + 
   z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 17980] -> 3 - a^(-2) - a^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17981] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 17982] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17983] -> 4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 5*z^4 + (6*z^4)/a^4 - (11*z^4)/a^2 + 
   5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 17984] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17985] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - 4*z^4 - z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   4*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 17986] -> a^(-6) - a^(-4) + a^2 - z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 17987] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 17988] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 - 
   z^4/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 17989] -> 2 - a^(-2) + a^2 - a^4 + z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 17990] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 17991] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 17992] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 - 3*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 17993] -> 
  a^(-2) - a^2 + a^4 - 9*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 8*a^2*z^4 - 
   4*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 9*a^2*z^6 - 4*a^4*z^6 + 4*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 17994] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17995] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 3*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17996] -> a^(-2) - a^2 + a^4 - 6*z^2 + (3*z^2)/a^2 + 
   a^4*z^2 - 6*z^4 + 5*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   8*a^2*z^6 - 4*a^4*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 17997] -> -2 + 2/a^2 + a^4 - 6*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 + 2*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 17998] -> 4 - a^(-4) - 2*a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 17999] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^4*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 18000] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18001] -> -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 2*z^4 - z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18002] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + 3*z^4 - z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[14, Alternating, 18003] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 18004] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - 
   4*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (8*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18005] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^2 - 
   2*z^4 - (2*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 - z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18006] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 + z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18007] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^2 - z^4/a^8 + z^4/a^6 + z^4/a^4 - a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 18008] -> 
  4 - 6*a^2 + 3*a^4 + 2*z^2 + (2*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - 6*z^4 + 
   (5*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 9*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18009] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 2*z^2 + 
   z^2/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18010] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 
   2*a^6*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 18011] -> 
  3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 18012] -> 
  -2/a^6 + 3/a^4 + z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18013] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2/a^6 + z^2/a^4 - z^4 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 18014] -> 4 - a^(-2) - 3*a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 18015] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^6 + z^2/a^4 - 
   2*a^2*z^2 - z^4/a^6 + (3*z^4)/a^4 + 2*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 18016] -> 6 - 3/a^2 - a^2 - a^4 + 6*z^2 - 
   (2*z^2)/a^4 + 3*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 18017] -> 4 - a^(-4) - 2*a^2 + 5*z^2 - z^2/a^6 + 
   z^2/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 18018] -> 2 - 2*a^2 + a^4 + 7*z^2 - 
   15*a^2*z^2 + 7*a^4*z^2 + 17*z^4 - 41*a^2*z^4 + 17*a^4*z^4 + 17*z^6 - 
   51*a^2*z^6 + 17*a^4*z^6 + 7*z^8 - 31*a^2*z^8 + 7*a^4*z^8 + z^10 - 
   9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[14, Alternating, 18019] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - 12*a^2*z^2 + 5*a^4*z^2 + (4*z^4)/a^2 - 
   17*a^2*z^4 + 8*a^4*z^4 - 7*z^6 + (4*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18020] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 + 7*z^4 - 9*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 + 
   5*z^6 - 12*a^2*z^6 - 13*a^4*z^6 + 5*a^6*z^6 + z^8 - 6*a^2*z^8 - 
   6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 18021] -> 
  2 - 3*a^4 + 2*a^6 + 3*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18022] -> 2 - 2*a^2 + a^4 + 7*z^2 - (2*z^2)/a^2 - 
   9*a^2*z^2 + 3*a^4*z^2 + 5*z^4 + z^4/a^2 - 12*a^2*z^4 + 5*a^4*z^4 - 3*z^6 + 
   (3*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18023] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 + z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - z^6 + z^6/a^2 - 
   5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18024] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (14*z^2)/a^2 - 9*z^4 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 18025] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 6*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18026] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (10*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + (6*z^4)/a^8 - 
   (12*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18027] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18028] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 3*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 - z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 18029] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 18030] -> 3 + 2/a^4 - 4/a^2 + z^2 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (8*z^4)/a^4 - (14*z^4)/a^2 + 
   7*a^2*z^4 - 12*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18031] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18032] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 2*z^2 + 
   a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   4*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 - z^6 + 8*a^2*z^6 - 9*a^4*z^6 + 
   8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 18033] -> -1 + a^2 + 4*a^4 - 3*a^6 - z^2/a^2 + 
   2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18034] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 18035] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 4*z^2 - (2*z^2)/a^6 + (3*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 18036] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 
   5*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18037] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (9*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 - 
   (3*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18038] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 2*z^6 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18039] -> -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   7*a^4*z^4 + 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 18040] -> 2 - a^(-2) + a^4 - a^6 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 18041] -> 8 - 3/a^2 - 5*a^2 + a^4 + 
   18*z^2 - (7*z^2)/a^2 - 10*a^2*z^2 + a^4*z^2 + 20*z^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 6*a^2*z^6 - 4*a^4*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18042] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 5*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18043] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 
   a^4*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18044] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - z^2/a^6 + (2*z^2)/a^4 - 2*a^2*z^2 + 2*z^4 - 
   z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 - a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 18045] -> 
  4 + 3/a^4 - 6/a^2 + 10*z^2 + (10*z^2)/a^4 - (23*z^2)/a^2 + 18*z^4 + 
   (18*z^4)/a^4 - (46*z^4)/a^2 + 17*z^6 + (17*z^6)/a^4 - (52*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (31*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18046] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   3*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (8*z^4)/a^4 - 
   (16*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18047] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 17*z^2 + 
   (3*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 21*z^4 + (5*z^4)/a^4 - (4*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18048] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 4*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18049] -> 5 - 3/a^2 + a^2 - 2*a^4 + 11*z^2 - 
   (7*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 - (8*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18050] -> 3 - a^(-4) - a^4 + 7*z^2 - (2*z^2)/a^4 + 
   2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18051] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - 
   3*z^6 - z^6/a^2 - 2*a^2*z^6, Knot[14, Alternating, 18052] -> 
  -4 + a^(-8) - 4/a^4 + 7/a^2 - a^2 + 2*a^4 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + z^4 - (3*z^4)/a^6 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2, 
 Knot[14, Alternating, 18053] -> -1 + a^(-8) - 3/a^4 + 4/a^2 - a^2 + a^6 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4, Knot[14, Alternating, 18054] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 17*z^2 + (5*z^2)/a^2 + 23*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 18055] -> 
  -5 + a^(-8) - 4/a^4 + 7/a^2 + a^2 + a^4 - 9*z^2 + z^2/a^8 - (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2, 
 Knot[14, Alternating, 18056] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 10*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 18057] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 
   a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 6*z^4 + 6*a^2*z^4 + 23*a^4*z^4 - 
   10*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18058] -> -a^(-10) - a^(-8) + 3/a^6 + (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 18059] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + 
   (5*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 18060] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 18061] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18062] -> 6 - 2/a^2 - 4*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 3*a^2*z^8 - z^10, Knot[14, Alternating, 18063] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 22*a^2*z^2 + 52*a^4*z^2 - 23*a^6*z^2 - 
   34*a^2*z^4 + 91*a^4*z^4 - 34*a^6*z^4 - 24*a^2*z^6 + 82*a^4*z^6 - 
   24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 18064] -> 
  -1 + 6*a^4 - 4*a^6 - 7*z^2 + 4*a^2*z^2 + 21*a^4*z^2 - 12*a^6*z^2 - 9*z^4 + 
   12*a^2*z^4 + 29*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 20*a^4*z^6 - 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18065] -> -2 + 4*a^2 + a^4 - 2*a^6 - 11*z^2 + 
   18*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 - 13*z^4 + 28*a^2*z^4 + 12*a^4*z^4 - 
   9*a^6*z^4 - 6*z^6 + 20*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18066] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 6*z^2 - 
   (5*z^2)/a^2 + a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18067] -> -2/a^10 + a^(-8) + 2/a^6 + (3*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - z^6/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 18068] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + 
   (5*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 18069] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 18070] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   6*z^2 + 7*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + 15*a^2*z^4 + 
   16*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18071] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   12*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18072] -> -3 + 9*a^2 - 6*a^4 + a^6 - 6*z^2 - 
   (2*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 - 2*z^4 - (3*z^4)/a^2 + 25*a^2*z^4 - 
   6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - z^6/a^2 + 14*a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18073] -> 
  -1 + 6*a^4 - 4*a^6 - 9*z^2 + 10*a^2*z^2 + 15*a^4*z^2 - 10*a^6*z^2 - 
   12*z^4 + 21*a^2*z^4 + 22*a^4*z^4 - 12*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 
   18*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18074] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 2*z^2 - (3*z^2)/a^2 + 11*a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 15*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18075] -> -3 + 8*a^2 - 4*a^4 - 2*z^2 - 
   (4*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 
   19*a^2*z^4 - 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 10*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18076] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 18077] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18078] -> 
  -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 13*z^2 + (7*z^2)/a^6 - (24*z^2)/a^4 + 
   (29*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + (9*z^4)/a^6 - (32*z^4)/a^4 + 
   (32*z^4)/a^2 + a^2*z^4 - 3*z^6 + (5*z^6)/a^6 - (21*z^6)/a^4 + 
   (16*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 18079] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   29*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 33*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 18080] -> a^(-2) - a^4 + a^6 - 3*z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - (2*z^4)/a^2 + 11*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, Alternating, 18081] -> -a^(-6) + a^(-4) + a^(-2) + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18082] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + 
   6*a^2*z^2 + 12*a^4*z^2 - 8*a^6*z^2 - 9*z^4 + 14*a^2*z^4 + 19*a^4*z^4 - 
   10*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18083] -> -1 + 3*a^2 - a^6 - 3*z^2 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^6*z^2 + z^4 - (3*z^4)/a^2 + 15*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18084] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18085] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 18086] -> -3*a^2 + 9*a^4 - 5*a^6 - 
   23*a^2*z^2 + 53*a^4*z^2 - 24*a^6*z^2 - 37*a^2*z^4 + 98*a^4*z^4 - 
   37*a^6*z^4 - 25*a^2*z^6 + 87*a^4*z^6 - 25*a^6*z^6 - 8*a^2*z^8 + 
   41*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 18087] -> -2*a^2 + 7*a^4 - 4*a^6 - 8*z^2 + 5*a^2*z^2 + 
   20*a^4*z^2 - 12*a^6*z^2 - 12*z^4 + 19*a^2*z^4 + 26*a^4*z^4 - 13*a^6*z^4 - 
   6*z^6 + 18*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18088] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 10*z^2 + 11*a^2*z^2 + 15*a^4*z^2 - 11*a^6*z^2 - 
   13*z^4 + 23*a^2*z^4 + 24*a^4*z^4 - 13*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 
   19*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18089] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - (4*z^2)/a^2 + 11*a^2*z^2 + 3*a^4*z^2 - 
   5*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 17*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 
   4*z^6 - z^6/a^2 + 10*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18090] -> -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + 
   4*a^2*z^2 + 15*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + 14*a^2*z^4 + 20*a^4*z^4 - 
   10*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18091] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 8*z^2 + 
   10*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + 18*a^2*z^4 + 18*a^4*z^4 - 
   10*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18092] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 - (7*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 20*z^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 18093] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18094] -> -a^(-4) + 2/a^2 + 4*z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18095] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 18096] -> -1 + 3*a^2 - a^6 - 2*z^2 - (3*z^2)/a^2 + 
   12*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 16*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18097] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18098] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18099] -> 3*a^4 - 2*a^6 - 4*z^2 + 2*a^2*z^2 + 
   12*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + 7*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 
   4*z^6 + 9*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18100] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (8*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - z^4/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, Alternating, 18101] -> 
  -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - (4*z^2)/a^2 + 14*a^2*z^2 + a^4*z^2 - 
   5*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 18*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 
   4*z^6 - z^6/a^2 + 10*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18102] -> -2 + 6*a^2 - 3*a^4 - 
   (2*z^2)/a^4 - z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 11*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, Alternating, 18103] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 - (3*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 17*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18104] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - 
   a^4 - 12*z^2 - (2*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 - z^4/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, Alternating, 18105] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 + z^4/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18106] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 7*z^2 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 15*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 18107] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 
   4*z^2 - (2*z^2)/a^6 + (7*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 18108] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 18109] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 18110] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18111] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18112] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (4*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 - 
   (2*z^2)/a^4 - (8*z^4)/a^10 + (14*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 18113] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 - (9*z^4)/a^6 + 
   (14*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18114] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   7*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18115] -> 3/a^12 - 6/a^10 + 4/a^6 + 
   (10*z^2)/a^12 - (21*z^2)/a^10 + (2*z^2)/a^8 + (12*z^2)/a^6 + 
   (12*z^4)/a^12 - (27*z^4)/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 + 
   (6*z^6)/a^12 - (19*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (7*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 18116] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (6*z^2)/a^8 - (10*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + (9*z^4)/a^8 - 
   (18*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18117] -> 
  -2/a^6 + 3/a^4 - 2*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18118] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, Alternating, 18119] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 17*z^2 - (12*z^2)/a^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 26*z^4 - (13*z^4)/a^2 + 21*a^2*z^4 - 12*a^4*z^4 + 19*z^6 - 
   (6*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - z^8/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 18120] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 8*z^2 - (5*z^2)/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 14*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18121] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (8*z^2)/a^8 - (11*z^2)/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + (10*z^4)/a^8 - (19*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18122] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (16*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18123] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - z^4/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 18124] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (3*z^2)/a^12 - (9*z^2)/a^10 + 
   (2*z^2)/a^8 + (9*z^2)/a^6 + (3*z^4)/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 18125] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 18126] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18127] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18128] -> a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - 
   (5*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^4)/a^12 - (2*z^4)/a^10 - 
   z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 18129] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^2 + z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18130] -> a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 18131] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (4*z^2)/a^10 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 + z^4/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 18132] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 - 8*z^4 - (8*z^4)/a^6 + 
   (13*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18133] -> -2/a^6 + 3/a^4 - z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18134] -> -a^(-8) + a^(-6) + a^(-2) - z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 3*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (9*z^4)/a^4 + z^4/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18135] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 18136] -> -2/a^6 + 3/a^4 - 2*z^2 - (7*z^2)/a^6 + 
   (14*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + (8*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 18137] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18138] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (5*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (8*z^4)/a^10 + 
   (17*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (7*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 18139] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - (3*z^2)/a^10 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18140] -> -a^(-10) + a^(-8) + a^(-2) - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18141] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^4 - z^4 - z^4/a^10 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 18142] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18143] -> 1 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   7*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 18144] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 18145] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18146] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 - z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 18147] -> 
  -a^(-10) + a^(-6) + a^(-4) - (4*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - (7*z^4)/a^10 + (15*z^4)/a^8 - (2*z^4)/a^4 - (5*z^6)/a^10 + 
   (13*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 18148] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 18149] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (2*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18150] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^10 + (3*z^2)/a^8 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 + 
   z^4/a^4 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 18151] -> 1 - z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   6*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 18152] -> 
  1 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18153] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18154] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 - z^4 - z^4/a^10 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 + z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 18155] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18156] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18157] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18158] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - z^2/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + 
   (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 18159] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 + 
   (2*z^2)/a^6 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18160] -> -3/a^6 + 5/a^4 - a^(-2) - z^2 - z^2/a^8 - 
   z^2/a^6 + (7*z^2)/a^4 - 3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 18161] -> -2/a^6 + 3/a^4 - z^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18162] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2/a^8 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18163] -> 
  5 - 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 18164] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (9*z^6)/a^4 + (7*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 18165] -> 4 - a^(-2) - 3*a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 18166] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18167] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^2 - (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18168] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 - z^4 - z^4/a^10 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 18169] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 
   z^6 - z^6/a^8 + (9*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 18170] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^4 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18171] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18172] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 18173] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (8*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - z^4/a^10 - (7*z^4)/a^8 + 
   (19*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18174] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4 - z^4/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 18175] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^10 - z^4/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18176] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (4*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 18177] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18178] -> 
  -a^(-10) + a^(-8) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18179] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - z^4 - z^4/a^10 + 
   z^4/a^8 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 18180] -> a^2 + a^6 - a^8 + z^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 18181] -> 
  3*a^4 - 2*a^6 + 6*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   10*a^6*z^4 + 5*a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 18182] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 
   10*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 8*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 + 
   3*a^8*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 6*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 18183] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 2*a^8*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[14, Alternating, 18184] -> a^4 + 2*a^6 - 2*a^8 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 13*a^4*z^4 - 23*a^6*z^4 + 12*a^8*z^4 + 16*a^4*z^6 - 
   44*a^6*z^6 + 16*a^8*z^6 + 7*a^4*z^8 - 30*a^6*z^8 + 7*a^8*z^8 + a^4*z^10 - 
   9*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[14, Alternating, 18185] -> 
  2*a^4 - a^8 - a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 13*a^6*z^4 + 7*a^8*z^4 + 4*a^2*z^6 - 6*a^4*z^6 - 13*a^6*z^6 + 
   5*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 18186] -> 3*a^4 - 2*a^6 - z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + z^4 + 3*a^2*z^4 - 
   4*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + z^6 - a^2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 18187] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 - z^4/a^2 - a^2*z^4 - 
   a^4*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18188] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18189] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - 
   (7*z^2)/a^6 + (17*z^2)/a^4 - (10*z^2)/a^2 - 4*z^4 - (9*z^4)/a^6 + 
   (21*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18190] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   z^2 - (3*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18191] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - (5*z^2)/a^6 + 
   (12*z^2)/a^4 - (5*z^2)/a^2 - 4*z^4 - (8*z^4)/a^6 + (17*z^4)/a^4 - 4*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (7*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18192] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 18193] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 2*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 18194] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 18195] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18196] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 18197] -> -a^(-4) + 2/a^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 18198] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 
   5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 18199] -> 8 - 3/a^2 - 5*a^2 + a^4 + 
   19*z^2 - (8*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 - (9*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 15*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18200] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18201] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 18202] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - z^4/a^6 + (6*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 18203] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + z^6/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 18204] -> 
  3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + (4*z^2)/a^16 - (20*z^2)/a^14 + 
   (2*z^2)/a^12 + (26*z^2)/a^10 + z^4/a^16 - (17*z^4)/a^14 + (15*z^4)/a^12 + 
   (37*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 18205] -> a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - 
   (10*z^2)/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 + z^4/a^16 - (13*z^4)/a^14 + 
   (7*z^4)/a^12 + (39*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + 
   (11*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 18206] -> 
  a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 + (10*z^2)/a^8 - (4*z^4)/a^14 + (6*z^4)/a^12 + 
   (13*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 18207] -> 
  a^(-16) - 3/a^14 + 2/a^12 - 2/a^10 + 2/a^8 + a^(-6) - (4*z^2)/a^14 + 
   z^2/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 + 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 18208] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, Alternating, 18209] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + (18*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18210] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (4*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   z^4 - z^4/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 18211] -> -3/a^8 + 4/a^6 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (2*z^2)/a^4 - (2*z^4)/a^10 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (12*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18212] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 18213] -> 
  -4 + 10*a^2 - 5*a^4 - 4*z^2 + 13*a^2*z^2 - 4*a^4*z^2 + 11*z^4 - 
   18*a^2*z^4 + 11*a^4*z^4 + 16*z^6 - 43*a^2*z^6 + 16*a^4*z^6 + 7*z^8 - 
   30*a^2*z^8 + 7*a^4*z^8 + z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 18214] -> -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 - z^2/a^2 + 
   2*a^2*z^2 + (4*z^4)/a^2 - 10*a^2*z^4 + 7*a^4*z^4 - 7*z^6 + (4*z^6)/a^2 - 
   13*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 18215] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - 3*z^2 - z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18216] -> a^4 + 2*a^6 - 2*a^8 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 13*a^4*z^4 - 23*a^6*z^4 + 12*a^8*z^4 + 16*a^4*z^6 - 
   44*a^6*z^6 + 16*a^8*z^6 + 7*a^4*z^8 - 30*a^6*z^8 + 7*a^8*z^8 + a^4*z^10 - 
   9*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[14, Alternating, 18217] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 + 2*a^4*z^2 + a^8*z^2 + 4*a^2*z^4 - 
   a^4*z^4 - 11*a^6*z^4 + 7*a^8*z^4 + 4*a^2*z^6 - 7*a^4*z^6 - 13*a^6*z^6 + 
   5*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[14, Alternating, 18218] -> 23 - 11/a^2 - 11*a^2 + 91*z^2 - 
   (40*z^2)/a^2 - 40*a^2*z^2 + 142*z^4 - (51*z^4)/a^2 - 51*a^2*z^4 + 
   113*z^6 - (31*z^6)/a^2 - 31*a^2*z^6 + 49*z^8 - (9*z^8)/a^2 - 9*a^2*z^8 + 
   11*z^10 - z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18219] -> 
  -2 - 3/a^4 + 6/a^2 + z^2 + z^2/a^4 + z^2/a^2 + 15*z^4 + (15*z^4)/a^4 - 
   (31*z^4)/a^2 + 17*z^6 + (17*z^6)/a^4 - (49*z^6)/a^2 + 7*z^8 + 
   (7*z^8)/a^4 - (31*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 18220] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 7*z^4 + (7*z^4)/a^6 - (9*z^4)/a^4 - 
   (9*z^4)/a^2 + 5*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - (12*z^6)/a^2 + z^8 + 
   z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 18221] -> -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + (7*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 
   13*z^6 + (5*z^6)/a^4 - (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18222] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18223] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*z^4 - (9*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18224] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 2*z^6 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18225] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (6*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - z^6/a^6 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18226] -> -3 + 8*a^2 - 4*a^4 - 4*z^2 + 12*a^2*z^2 - 
   4*a^4*z^2 + 7*z^4 - 10*a^2*z^4 + 7*a^4*z^4 + 12*z^6 - 31*a^2*z^6 + 
   12*a^4*z^6 + 6*z^8 - 24*a^2*z^8 + 6*a^4*z^8 + z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[14, Alternating, 18227] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   3*z^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 - 
   8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 18228] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18229] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18230] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18231] -> 
  21 - 10/a^2 - 10*a^2 + 84*z^2 - (37*z^2)/a^2 - 37*a^2*z^2 + 137*z^4 - 
   (50*z^4)/a^2 - 50*a^2*z^4 + 112*z^6 - (31*z^6)/a^2 - 31*a^2*z^6 + 49*z^8 - 
   (9*z^8)/a^2 - 9*a^2*z^8 + 11*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18232] -> 13 - 2/a^4 - 3/a^2 - 7*a^2 + 38*z^2 - 
   (9*z^2)/a^4 - 20*a^2*z^2 + 44*z^4 - (12*z^4)/a^4 + (15*z^4)/a^2 - 
   18*a^2*z^4 + 26*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - 7*a^2*z^6 + 8*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18233] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 18234] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 18235] -> 
  4 - 2/a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 18236] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + 13*a^2*z^2 - 5*a^4*z^2 + 4*z^4 - 3*a^2*z^4 + 
   4*a^4*z^4 + 11*z^6 - 26*a^2*z^6 + 11*a^4*z^6 + 6*z^8 - 23*a^2*z^8 + 
   6*a^4*z^8 + z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 18237] -> -1 + 4*a^2 - 2*a^4 + 3*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + 
   (3*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18238] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (7*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - (10*z^6)/a^6 + (21*z^6)/a^4 - 
   (10*z^6)/a^2 - (6*z^8)/a^6 + (22*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[14, Alternating, 18239] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 3*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18240] -> 
  2 + 2/a^6 - 3/a^4 + z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 4*z^4 - z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18241] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 
   z^2 + z^2/a^6 - (4*z^2)/a^4 + 2*z^4 - (2*z^4)/a^6 + z^4/a^4 - 2*a^2*z^4 + 
   3*z^6 - z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[14, Alternating, 18242] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (25*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 18243] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18244] -> 19 - 9/a^2 - 9*a^2 + 75*z^2 - (33*z^2)/a^2 - 
   33*a^2*z^2 + 125*z^4 - (46*z^4)/a^2 - 46*a^2*z^4 + 106*z^6 - 
   (30*z^6)/a^2 - 30*a^2*z^6 + 48*z^8 - (9*z^8)/a^2 - 9*a^2*z^8 + 11*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18245] -> 
  11 - 2/a^4 - 2/a^2 - 6*a^2 + 31*z^2 - (9*z^2)/a^4 + (3*z^2)/a^2 - 
   17*a^2*z^2 + 39*z^4 - (12*z^4)/a^4 + (16*z^4)/a^2 - 17*a^2*z^4 + 25*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 - 7*a^2*z^6 + 8*z^8 - z^8/a^4 + (7*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 18246] -> 
  7/a^12 - 18/a^10 + 12/a^8 + (26*z^2)/a^12 - (69*z^2)/a^10 + (46*z^2)/a^8 + 
   (41*z^4)/a^12 - (114*z^4)/a^10 + (62*z^4)/a^8 + (29*z^6)/a^12 - 
   (100*z^6)/a^10 + (37*z^6)/a^8 + (9*z^8)/a^12 - (47*z^8)/a^10 + 
   (10*z^8)/a^8 + z^10/a^12 - (11*z^10)/a^10 + z^10/a^8 - z^12/a^10, 
 Knot[14, Alternating, 18247] -> 5/a^12 - 11/a^10 + 4/a^8 + 3/a^6 + 
   (14*z^2)/a^12 - (30*z^2)/a^10 + (5*z^2)/a^8 + (13*z^2)/a^6 + 
   (16*z^4)/a^12 - (36*z^4)/a^10 - (8*z^4)/a^8 + (16*z^4)/a^6 + 
   (7*z^6)/a^12 - (24*z^6)/a^10 - (15*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^12 - 
   (8*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 18248] -> 3/a^12 - 4/a^10 - 4/a^8 + 6/a^6 + 
   (7*z^2)/a^12 - (10*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^4)/a^12 - (9*z^4)/a^10 - (15*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 18249] -> 
  3 - 4/a^4 + 5/a^2 - 3*a^2 + 7*z^2 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 - 7*a^2*z^2 + 8*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   (19*z^4)/a^2 - 5*a^2*z^4 + 5*z^6 - z^6/a^6 + (4*z^6)/a^4 + (11*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 18250] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (15*z^2)/a^8 - (33*z^2)/a^6 + (19*z^2)/a^4 + 
   (29*z^4)/a^8 - (73*z^4)/a^6 + (30*z^4)/a^4 + (23*z^6)/a^8 - (75*z^6)/a^6 + 
   (23*z^6)/a^4 + (8*z^8)/a^8 - (39*z^8)/a^6 + (8*z^8)/a^4 + z^10/a^8 - 
   (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[14, Alternating, 18251] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (9*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 + (12*z^4)/a^8 - (25*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 
   (6*z^6)/a^8 - (19*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18252] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 3*z^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18253] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 7*z^4 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 - (10*z^4)/a^2 + 5*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (12*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 18254] -> a^(-6) - a^(-4) + a^2 + z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18255] -> -2 + 6*a^2 - 3*a^4 - 6*z^2 + 16*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 + z^4 + 10*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 + 4*z^6 - 
   4*a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 18256] -> 
  -1 + 4*a^2 - 2*a^4 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + 4*z^4 + z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   z^6/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18257] -> 2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - z^4 + (2*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18258] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 18259] -> -2 - 3/a^4 + 6/a^2 + 5*z^2 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + 23*z^4 + (23*z^4)/a^4 - (51*z^4)/a^2 + 22*z^6 + 
   (22*z^6)/a^4 - (67*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - (38*z^8)/a^2 + z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 18260] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + (11*z^4)/a^4 - (20*z^4)/a^2 + 7*a^2*z^4 - 11*z^6 + (6*z^6)/a^4 - 
   (18*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18261] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 5*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 6*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   8*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 18262] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   11*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 14*z^4 + (8*z^4)/a^2 - 
   7*a^2*z^4 + 7*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 - 12*a^2*z^6 + 5*a^4*z^6 - 
   6*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18263] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 4*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18264] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 15*a^2*z^2 + 36*a^4*z^2 - 16*a^6*z^2 - 
   29*a^2*z^4 + 74*a^4*z^4 - 29*a^6*z^4 - 23*a^2*z^6 + 75*a^4*z^6 - 
   23*a^6*z^6 - 8*a^2*z^8 + 39*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 18265] -> 
  -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 8*z^4 + 8*a^2*z^4 + 
   25*a^4*z^4 - 12*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18266] -> 3*a^4 - 2*a^6 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 9*a^2*z^4 + 7*a^4*z^4 - 
   4*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18267] -> 
  5*a^6 - 5*a^8 + a^10 + 2*a^6*z^2 + 11*a^8*z^2 - 8*a^10*z^2 - 18*a^6*z^4 + 
   55*a^8*z^4 - 24*a^10*z^4 - 21*a^6*z^6 + 68*a^8*z^6 - 22*a^10*z^6 - 
   8*a^6*z^8 + 38*a^8*z^8 - 8*a^10*z^8 - a^6*z^10 + 10*a^8*z^10 - a^10*z^10 + 
   a^8*z^12, Knot[14, Alternating, 18268] -> 2*a^4 - a^8 + a^4*z^2 + 
   9*a^8*z^2 - 6*a^10*z^2 - 6*a^4*z^4 + 6*a^6*z^4 + 21*a^8*z^4 - 
   11*a^10*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 18*a^8*z^6 - 6*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 18269] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 18270] -> 3 - a^(-2) - a^2 + 11*z^2 - (5*z^2)/a^2 - 
   5*a^2*z^2 + 37*z^4 - (16*z^4)/a^2 - 16*a^2*z^4 + 50*z^6 - (17*z^6)/a^2 - 
   17*a^2*z^6 + 31*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18271] -> 
  1 + 8*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 16*z^4 - (4*z^4)/a^4 - 8*a^2*z^4 + 
   14*z^6 - (4*z^6)/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 18272] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^4 + 
   z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18273] -> 2*a^2 - a^4 - 3*a^2*z^2 + 8*a^4*z^2 - 
   4*a^6*z^2 - 16*a^2*z^4 + 36*a^4*z^4 - 16*a^6*z^4 - 17*a^2*z^6 + 
   50*a^4*z^6 - 17*a^6*z^6 - 7*a^2*z^8 + 31*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[14, Alternating, 18274] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 7*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 
   4*z^4 - a^2*z^4 + 16*a^4*z^4 - 8*a^6*z^4 - 4*z^6 + 7*a^2*z^6 + 
   14*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18275] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 7*z^4 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 18276] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18277] -> 
  -a^(-4) + 2/a^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18278] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18279] -> 
  -2 + 6*a^2 - 3*a^4 + 3*z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 16*z^4 - 35*a^2*z^4 + 
   16*a^4*z^4 + 17*z^6 - 50*a^2*z^6 + 17*a^4*z^6 + 7*z^8 - 31*a^2*z^8 + 
   7*a^4*z^8 + z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 18280] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + z^2/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - 3*z^4 + (5*z^4)/a^2 - 14*a^2*z^4 + 8*a^4*z^4 - 
   8*z^6 + (4*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + z^8/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18281] -> 
  -4 + 10*a^2 - 5*a^4 - 2*z^2 + 9*a^2*z^2 - 2*a^4*z^2 + 14*z^4 - 26*a^2*z^4 + 
   14*a^4*z^4 + 17*z^6 - 48*a^2*z^6 + 17*a^4*z^6 + 7*z^8 - 31*a^2*z^8 + 
   7*a^4*z^8 + z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 18282] -> -a^(-2) + 5*a^2 - 3*a^4 - z^2 + z^2/a^2 + 
   4*a^2*z^2 - 8*z^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 12*z^6 + 
   (5*z^6)/a^2 - 12*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18283] -> 
  -4 + 10*a^2 - 5*a^4 - 11*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 
   16*z^4 + (8*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   6*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 18284] -> -a^(-2) + 5*a^2 - 3*a^4 - 
   4*z^2 + z^2/a^4 + 9*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 18285] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 + z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 9*z^6 + (4*z^6)/a^2 - 8*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18286] -> 4 - 2/a^2 - a^4 + 2*z^2 + z^2/a^4 - 
   z^2/a^2 + a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 18287] -> -2 + 2/a^2 + a^4 - 10*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 8*a^2*z^4 - 4*a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 9*a^2*z^6 - 4*a^4*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 18288] -> 
  -1 + a^(-4) + a^4 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18289] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 2*a^6*z^4 + 4*a^8*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 18290] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - 
   a^2*z^4 - 6*a^4*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 18291] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 + 3*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + 5*a^8*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 18292] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + 4*a^2*z^2 - a^4*z^2 + 8*z^4 - 15*a^2*z^4 + 
   8*a^4*z^4 + 12*z^6 - 32*a^2*z^6 + 12*a^4*z^6 + 6*z^8 - 24*a^2*z^8 + 
   6*a^4*z^8 + z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 18293] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 8*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   4*a^4*z^4 - 9*z^6 + (4*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18294] -> -3 - 4/a^4 + 8/a^2 + (4*z^2)/a^2 + 15*z^4 + 
   (15*z^4)/a^4 - (30*z^4)/a^2 + 17*z^6 + (17*z^6)/a^4 - (49*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (31*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18295] -> -1 - a^(-6) + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 + 7*z^4 + (7*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + 
   5*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - (12*z^6)/a^2 + z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 18296] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 + (7*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + 
   (5*z^6)/a^4 - (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18297] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18298] -> 
  2*a^4 - a^8 + 2*a^2*z^2 + a^4*z^2 + a^8*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 
   6*a^6*z^4 + 5*a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 18299] -> a^2 + a^6 - a^8 + z^2 + a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + a^8*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 
   z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[14, Alternating, 18300] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   6*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (22*z^2)/a^2 + 2*z^4 + (8*z^4)/a^6 - 
   (19*z^4)/a^4 + (10*z^4)/a^2 + 4*z^6 + (5*z^6)/a^6 - (14*z^6)/a^4 - 
   (5*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 18301] -> 19 - 9/a^2 - 9*a^2 + 75*z^2 - 
   (33*z^2)/a^2 - 33*a^2*z^2 + 117*z^4 - (42*z^4)/a^2 - 42*a^2*z^4 + 94*z^6 - 
   (26*z^6)/a^2 - 26*a^2*z^6 + 42*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18302] -> 
  9 - a^(-4) - 3/a^2 - 3*a^2 - a^4 + 15*z^2 - (5*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 18303] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 18304] -> -a^(-6) + a^(-4) + a^(-2) - 
   z^2 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, Alternating, 18305] -> 
  -2 - 3/a^4 + 6/a^2 - z^2 - z^2/a^4 + (5*z^2)/a^2 + 8*z^4 + (8*z^4)/a^4 - 
   (15*z^4)/a^2 + 12*z^6 + (12*z^6)/a^4 - (32*z^6)/a^2 + 6*z^8 + 
   (6*z^8)/a^4 - (24*z^8)/a^2 + z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 18306] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + (5*z^2)/a^2 + 
   5*a^2*z^2 + 3*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 26*z^6 - (11*z^6)/a^2 - 
   11*a^2*z^6 + 23*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18307] -> 
  -4 + 3/a^2 + a^2 + a^4 - 9*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - z^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 
   4*a^4*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18308] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18309] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 3*z^2 - z^2/a^2 - a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18310] -> 
  4/a^8 - 10/a^6 + 7/a^4 + (16*z^2)/a^8 - (37*z^2)/a^6 + (20*z^2)/a^4 + 
   (29*z^4)/a^8 - (74*z^4)/a^6 + (30*z^4)/a^4 + (23*z^6)/a^8 - (75*z^6)/a^6 + 
   (23*z^6)/a^4 + (8*z^8)/a^8 - (39*z^8)/a^6 + (8*z^8)/a^4 + z^10/a^8 - 
   (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[14, Alternating, 18311] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (9*z^2)/a^8 - (15*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + (12*z^4)/a^8 - (25*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + 
   (6*z^6)/a^8 - (19*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18312] -> 17 - 8/a^2 - 8*a^2 + 64*z^2 - (28*z^2)/a^2 - 
   28*a^2*z^2 + 104*z^4 - (38*z^4)/a^2 - 38*a^2*z^4 + 88*z^6 - (25*z^6)/a^2 - 
   25*a^2*z^6 + 41*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18313] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 28*z^2 - (7*z^2)/a^4 + z^2/a^2 - 15*a^2*z^2 + 
   34*z^4 - (9*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 21*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18314] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (19*z^2)/a^8 - (42*z^2)/a^6 + (23*z^2)/a^4 + 
   (33*z^4)/a^8 - (85*z^4)/a^6 + (34*z^4)/a^4 + (24*z^6)/a^8 - (81*z^6)/a^6 + 
   (24*z^6)/a^4 + (8*z^8)/a^8 - (40*z^8)/a^6 + (8*z^8)/a^4 + z^10/a^8 - 
   (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[14, Alternating, 18315] -> 
  3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + (12*z^2)/a^8 - (23*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^2)/a^2 + (13*z^4)/a^8 - (30*z^4)/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 + (6*z^6)/a^8 - (20*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18316] -> 5/a^12 - 12/a^10 + 6/a^8 + 2/a^6 + 
   (11*z^2)/a^12 - (28*z^2)/a^10 + (11*z^2)/a^8 + (9*z^2)/a^6 + 
   (12*z^4)/a^12 - (29*z^4)/a^10 + (12*z^4)/a^6 + (6*z^6)/a^12 - 
   (19*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 18317] -> 3/a^12 - 5/a^10 - 2/a^8 + 5/a^6 + 
   (5*z^2)/a^12 - (9*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 18318] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (9*z^2)/a^8 - (12*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + (12*z^4)/a^8 - (21*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 + 
   (6*z^6)/a^8 - (18*z^6)/a^6 - (18*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18319] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 2*z^2 + 
   (5*z^2)/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18320] -> 4/a^12 - 8/a^10 + a^(-8) + 4/a^6 + 
   (10*z^2)/a^12 - (22*z^2)/a^10 + (2*z^2)/a^8 + (12*z^2)/a^6 + 
   (12*z^4)/a^12 - (27*z^4)/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 + 
   (6*z^6)/a^12 - (19*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (7*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 18321] -> a^(-8) - 4/a^4 + 4/a^2 + (6*z^2)/a^8 - 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 + (9*z^4)/a^8 - (14*z^4)/a^6 - 
   (20*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 18322] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 - 13*z^6 + (4*z^6)/a^4 - (6*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18323] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18324] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - 9*z^4 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18325] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^4 + 
   z^2/a^2 + a^4*z^2 - 4*z^4 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 18326] -> 
  -1 - 2/a^4 + 4/a^2 + 7*z^2 + (7*z^2)/a^4 - (12*z^2)/a^2 + 20*z^4 + 
   (20*z^4)/a^4 - (47*z^4)/a^2 + 18*z^6 + (18*z^6)/a^4 - (56*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18327] -> 3 - a^(-2) - a^2 + 5*z^2 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 - 2*z^4 + (9*z^4)/a^4 - 
   (19*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18328] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 13*z^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 
   7*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 - 12*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + 
   z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18329] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 4*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18330] -> 
  1 - 2*z^2 + z^2/a^4 + a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   3*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 18331] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^4 + a^4*z^2 - 4*z^4 + z^4/a^4 - 
   3*a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 18332] -> 4/a^12 - 10/a^10 + 5/a^8 + 2/a^6 + 
   (10*z^2)/a^12 - (25*z^2)/a^10 + (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (12*z^4)/a^12 - (28*z^4)/a^10 + (12*z^4)/a^6 + (6*z^6)/a^12 - 
   (19*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - (7*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 18333] -> 2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + 
   (5*z^2)/a^12 - (8*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 18334] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (6*z^2)/a^8 - (7*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 + (9*z^4)/a^8 - (15*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18335] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18336] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + 
   7*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + 15*a^2*z^4 + 16*a^4*z^4 - 
   9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18337] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18338] -> -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + 
   13*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + 17*a^2*z^4 + 11*a^4*z^4 - 
   8*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18339] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18340] -> -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18341] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18342] -> 
  a^4 + 2*a^6 - 2*a^8 + 4*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 - 4*a^4*z^4 + 
   6*a^6*z^4 + 16*a^8*z^4 - 8*a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 18343] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   6*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 18344] -> 2*a^4 - a^8 + a^4*z^2 + 2*a^6*z^2 + 
   5*a^8*z^2 - 4*a^10*z^2 - 4*a^4*z^4 + 5*a^6*z^4 + 15*a^8*z^4 - 8*a^10*z^4 - 
   4*a^4*z^6 + 8*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 18345] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 18346] -> 19 - 9/a^2 - 9*a^2 + 67*z^2 - (29*z^2)/a^2 - 
   29*a^2*z^2 + 105*z^4 - (38*z^4)/a^2 - 38*a^2*z^4 + 88*z^6 - (25*z^6)/a^2 - 
   25*a^2*z^6 + 41*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18347] -> 
  11 - 2/a^4 - 2/a^2 - 6*a^2 + 29*z^2 - (7*z^2)/a^4 + z^2/a^2 - 15*a^2*z^2 + 
   34*z^4 - (9*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 21*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18348] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 20*a^2*z^2 + 48*a^4*z^2 - 21*a^6*z^2 - 
   33*a^2*z^4 + 87*a^4*z^4 - 33*a^6*z^4 - 24*a^2*z^6 + 81*a^4*z^6 - 
   24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 18349] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 4*z^2 - 3*a^2*z^2 + 25*a^4*z^2 - 12*a^6*z^2 - 
   8*z^4 + 7*a^2*z^4 + 30*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 
   20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18350] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 8*z^4 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + 
   z^10/a^2, Knot[14, Alternating, 18351] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 
   9*z^2 + 12*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 - 12*z^4 + 21*a^2*z^4 + 
   21*a^4*z^4 - 12*a^6*z^4 - 6*z^6 + 18*a^2*z^6 + 18*a^4*z^6 - 6*a^6*z^6 - 
   z^8 + 7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18352] -> -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + z^4 - (3*z^4)/a^2 + 
   14*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18353] -> a^2 + a^4 - a^6 - z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 - 3*z^4 + a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + 5*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18354] -> 
  3*a^2 - 3*a^4 + a^6 - 2*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 16*a^2*z^4 + 
   35*a^4*z^4 - 16*a^6*z^4 - 17*a^2*z^6 + 50*a^4*z^6 - 17*a^6*z^6 - 
   7*a^2*z^8 + 31*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[14, Alternating, 18355] -> 2 - 2*a^2 + a^4 + z^2 - 
   7*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - a^2*z^4 + 16*a^4*z^4 - 
   8*a^6*z^4 - 4*z^6 + 7*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18356] -> 
  2 - 2*a^2 + a^4 - z^2 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + 
   8*a^2*z^4 + 9*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 12*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18357] -> a^(-2) - a^2 + a^4 - 3*z^2 + a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - z^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18358] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 5*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 
   4*a^10*z^2 - 8*a^4*z^4 + 19*a^6*z^4 + 11*a^8*z^4 - 8*a^10*z^4 - 
   5*a^4*z^6 + 14*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 18359] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 10*a^6*z^4 + 
   4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18360] -> 
  4/a^16 - 9/a^14 + a^(-12) + 5/a^10 + (4*z^2)/a^16 - (22*z^2)/a^14 + 
   (5*z^2)/a^12 + (25*z^2)/a^10 + z^4/a^16 - (17*z^4)/a^14 + (16*z^4)/a^12 + 
   (37*z^4)/a^10 + (4*z^4)/a^8 - (4*z^6)/a^14 + (13*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[14, Alternating, 18361] -> a^(-8) - 2/a^6 + 2/a^2 + (6*z^2)/a^8 - 
   (11*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + (9*z^4)/a^8 - (19*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 18362] -> 21 - 10/a^2 - 10*a^2 + 76*z^2 - 
   (33*z^2)/a^2 - 33*a^2*z^2 + 117*z^4 - (42*z^4)/a^2 - 42*a^2*z^4 + 94*z^6 - 
   (26*z^6)/a^2 - 26*a^2*z^6 + 42*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18363] -> 
  7 - 3/a^2 - 3*a^2 + 23*z^2 - (10*z^2)/a^2 - 10*a^2*z^2 + 50*z^4 - 
   (20*z^4)/a^2 - 20*a^2*z^4 + 56*z^6 - (18*z^6)/a^2 - 18*a^2*z^6 + 32*z^8 - 
   (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18364] -> -1 - 2/a^4 + 4/a^2 + 3*z^2 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 - (8*z^4)/a^4 + (13*z^4)/a^2 - 
   8*a^2*z^4 + 13*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18365] -> a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (6*z^4)/a^4 - (11*z^4)/a^2 + 5*a^2*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18366] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^4 + (4*z^2)/a^2 - 2*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 3*a^2*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18367] -> -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18368] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 + 
   z^4/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18369] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18370] -> 
  1 + 8*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 28*z^4 - (12*z^4)/a^2 - 12*a^2*z^4 + 
   38*z^6 - (13*z^6)/a^2 - 13*a^2*z^6 + 25*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18371] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 - 4*a^2*z^2 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 18372] -> 1 + 6*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + a^2*z^4 - 
   3*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18373] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18374] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + 7*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   10*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18375] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18376] -> 
  2 + a^(-4) - 2/a^2 + 13*z^2 + (13*z^2)/a^4 - (27*z^2)/a^2 + 28*z^4 + 
   (28*z^4)/a^4 - (69*z^4)/a^2 + 23*z^6 + (23*z^6)/a^4 - (74*z^6)/a^2 + 
   8*z^8 + (8*z^8)/a^4 - (39*z^8)/a^2 + z^10 + z^10/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18377] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 
   10*z^2 + (2*z^2)/a^6 + (7*z^2)/a^4 - (21*z^2)/a^2 + 12*z^4 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 - (27*z^4)/a^2 + 6*z^6 + (5*z^6)/a^6 - (11*z^6)/a^4 - 
   (19*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 18378] -> -2/a^6 + 3/a^4 - (13*z^2)/a^6 + 
   (28*z^2)/a^4 - (12*z^2)/a^2 - (28*z^4)/a^6 + (69*z^4)/a^4 - (28*z^4)/a^2 - 
   (23*z^6)/a^6 + (74*z^6)/a^4 - (23*z^6)/a^2 - (8*z^8)/a^6 + (39*z^8)/a^4 - 
   (8*z^8)/a^2 - z^10/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[14, Alternating, 18379] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 - z^2 - 
   (9*z^2)/a^6 + (20*z^2)/a^4 - (8*z^2)/a^2 - 7*z^4 - (12*z^4)/a^6 + 
   (26*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 - (6*z^6)/a^6 + (19*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18380] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   16*z^2 + (5*z^2)/a^4 + 9*a^2*z^2 - 22*z^4 + (11*z^4)/a^4 - (15*z^4)/a^2 + 
   12*a^2*z^4 - 18*z^6 + (6*z^6)/a^4 - (17*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + 
   z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18381] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 7*z^2 + 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18382] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (7*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - (11*z^4)/a^8 + (19*z^4)/a^6 + (12*z^4)/a^4 - (10*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 + (16*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^8 + 
   (7*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[14, Alternating, 18383] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (11*z^4)/a^4 - z^4/a^2 - z^6 - z^6/a^8 + 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18384] -> -a^(-8) + 2/a^4 + z^2 + (2*z^2)/a^6 + 
   z^2/a^4 + 2*z^4 + z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 18385] -> 4 - 6*a^2 + 3*a^4 + 12*z^2 - 
   27*a^2*z^2 + 12*a^4*z^2 + 21*z^4 - 54*a^2*z^4 + 21*a^4*z^4 + 18*z^6 - 
   57*a^2*z^6 + 18*a^4*z^6 + 7*z^8 - 32*a^2*z^8 + 7*a^4*z^8 + z^10 - 
   9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[14, Alternating, 18386] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 2*z^2 + (2*z^2)/a^2 - 15*a^2*z^2 + 7*a^4*z^2 - 
   3*z^4 + (5*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 - 
   15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 18387] -> -3/a^6 + 5/a^4 - a^(-2) - 
   (11*z^2)/a^6 + (25*z^2)/a^4 - (10*z^2)/a^2 - (21*z^4)/a^6 + (53*z^4)/a^4 - 
   (21*z^4)/a^2 - (18*z^6)/a^6 + (57*z^6)/a^4 - (18*z^6)/a^2 - (7*z^8)/a^6 + 
   (32*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[14, Alternating, 18388] -> -2/a^6 + 3/a^4 - 2*z^2 - 
   (7*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 - (9*z^4)/a^6 + 
   (20*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18389] -> -1 + 4*a^2 - 2*a^4 + 5*z^2 - 
   8*a^2*z^2 + 5*a^4*z^2 + 19*z^4 - 43*a^2*z^4 + 19*a^4*z^4 + 18*z^6 - 
   55*a^2*z^6 + 18*a^4*z^6 + 7*z^8 - 32*a^2*z^8 + 7*a^4*z^8 + z^10 - 
   9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[14, Alternating, 18390] -> 
  3 - a^(-2) - a^2 + 3*z^2 + z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 7*z^4 + 
   (7*z^4)/a^2 - 13*a^2*z^4 + 8*a^4*z^4 - 12*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 
   5*a^4*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18391] -> 5*a^4 - 6*a^6 + 2*a^8 + 2*a^2*z^2 + 
   7*a^4*z^2 - 15*a^6*z^2 + 7*a^8*z^2 + 5*a^2*z^4 - 2*a^4*z^4 - 20*a^6*z^4 + 
   9*a^8*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 18392] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + z^2 + 
   a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - a^2*z^4 - 
   5*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 18393] -> 2*a^2 - a^4 - 3*z^2 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 11*z^4 + (8*z^4)/a^2 - 11*a^2*z^4 + 8*a^4*z^4 - 
   13*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18394] -> 
  4 - a^(-2) - 3*a^2 + a^4 + z^2/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18395] -> 6*a^4 - 8*a^6 + 3*a^8 + 2*a^2*z^2 + 
   7*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 + 5*a^2*z^4 - 2*a^4*z^4 - 20*a^6*z^4 + 
   9*a^8*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 18396] -> 1 - 3*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - 9*z^4 + (6*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18397] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - (5*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 
   13*z^4 - (8*z^4)/a^4 + (13*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18398] -> 
  -a^(-4) + 2/a^2 + 4*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   9*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18399] -> a^2 + a^4 - a^6 + 5*a^2*z^2 - 3*a^4*z^2 - 
   4*a^6*z^2 + 4*a^8*z^2 + 8*a^2*z^4 - 12*a^4*z^4 - 12*a^6*z^4 + 8*a^8*z^4 + 
   5*a^2*z^6 - 13*a^4*z^6 - 13*a^6*z^6 + 5*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 18400] -> 
  2*a^2 - a^4 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   9*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 18401] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (8*z^4)/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18402] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^4 + 5*a^2*z^2 - 
   a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18403] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18404] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 - 8*z^4 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 + (5*z^6)/a^4 - 
   (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18405] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18406] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 + z^2/a^4 + z^2/a^2 + a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18407] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^6 + a^4*z^2 - 
   4*z^4 + z^4/a^6 - (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 18408] -> 17 - 8/a^2 - 8*a^2 + 76*z^2 - 
   (34*z^2)/a^2 - 34*a^2*z^2 + 132*z^4 - (49*z^4)/a^2 - 49*a^2*z^4 + 
   111*z^6 - (31*z^6)/a^2 - 31*a^2*z^6 + 49*z^8 - (9*z^8)/a^2 - 9*a^2*z^8 + 
   11*z^10 - z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18409] -> 
  12 - a^(-4) - 4/a^2 - 6*a^2 + 36*z^2 - (8*z^2)/a^4 - (2*z^2)/a^2 - 
   19*a^2*z^2 + 43*z^4 - (12*z^4)/a^4 + (14*z^4)/a^2 - 18*a^2*z^4 + 26*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 - 7*a^2*z^6 + 8*z^8 - z^8/a^4 + (7*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 18410] -> 
  7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 16*z^2 - (5*z^2)/a^4 - 5*a^4*z^2 + 
   19*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18411] -> 15 - 7/a^2 - 7*a^2 + 63*z^2 - (28*z^2)/a^2 - 
   28*a^2*z^2 + 104*z^4 - (38*z^4)/a^2 - 38*a^2*z^4 + 88*z^6 - (25*z^6)/a^2 - 
   25*a^2*z^6 + 41*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18412] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 28*z^2 - (7*z^2)/a^4 - 15*a^2*z^2 + 34*z^4 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 21*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18413] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 13*z^2 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   4*a^4*z^2 + 3*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 18414] -> 
  4/a^8 - 10/a^6 + 7/a^4 + (22*z^2)/a^8 - (49*z^2)/a^6 + (26*z^2)/a^4 + 
   (34*z^4)/a^8 - (90*z^4)/a^6 + (35*z^4)/a^4 + (24*z^6)/a^8 - (82*z^6)/a^6 + 
   (24*z^6)/a^4 + (8*z^8)/a^8 - (40*z^8)/a^6 + (8*z^8)/a^4 + z^10/a^8 - 
   (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[14, Alternating, 18415] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + (12*z^2)/a^8 - (20*z^2)/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + (13*z^4)/a^8 - (29*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + 
   (6*z^6)/a^8 - (20*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18416] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 16*z^2 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 10*a^2*z^2 + 21*z^4 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 10*a^2*z^4 + 15*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18417] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + 
   (9*z^2)/a^8 - (11*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 + (10*z^4)/a^8 - 
   (19*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18418] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 5*z^2 - (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, Alternating, 18419] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 + (9*z^4)/a^8 - 
   (12*z^4)/a^6 - (28*z^4)/a^4 + (13*z^4)/a^2 + (5*z^6)/a^8 - (13*z^6)/a^6 - 
   (20*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18420] -> 
  2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 5*z^2 + (5*z^2)/a^8 - (7*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 + 4*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 - (5*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + z^6/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 18421] -> 
  -a^(-4) + 2/a^2 + 8*z^2 + (8*z^2)/a^4 - (15*z^2)/a^2 + 20*z^4 + 
   (20*z^4)/a^4 - (48*z^4)/a^2 + 18*z^6 + (18*z^6)/a^4 - (56*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18422] -> 1 + 2*z^2 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18423] -> 2 + a^(-4) - 2/a^2 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + (7*z^4)/a^4 - (14*z^4)/a^2 + 
   6*a^2*z^4 - 10*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18424] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 10*z^4 + (6*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - 10*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18425] -> a^(-2) - a^2 + a^4 - z^2 + z^2/a^4 - 
   5*a^2*z^2 + 3*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 
   a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 18426] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (9*z^2)/a^8 - (14*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + (10*z^4)/a^8 - 
   (20*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18427] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + (3*z^2)/a^12 - (6*z^2)/a^10 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 18428] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + 
   (3*z^2)/a^8 + z^2/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18429] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 5*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 18430] -> -1 - a^2 + 8*a^4 - 5*a^6 - 6*z^2 + 
   4*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 - 9*z^4 + 14*a^2*z^4 + 21*a^4*z^4 - 
   10*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18431] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 
   6*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + 8*a^2*z^4 + 19*a^4*z^4 - 
   9*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18432] -> 
  -3 + 6*a^2 - 2*a^6 - 4*z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 3*a^6*z^2 + z^4 - 
   (3*z^4)/a^2 + 16*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18433] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18434] -> 1 + z^2 - 5*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 - 3*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + 
   4*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18435] -> 
  1 - z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + 6*a^2*z^4 + 6*a^4*z^4 - 
   5*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18436] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, Alternating, 18437] -> 4/a^16 - 10/a^14 + 3/a^12 + 
   4/a^10 + (4*z^2)/a^16 - (25*z^2)/a^14 + (12*z^2)/a^12 + (22*z^2)/a^10 + 
   z^4/a^16 - (18*z^4)/a^14 + (21*z^4)/a^12 + (36*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^6)/a^14 + (14*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 18438] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + z^2/a^16 - (9*z^2)/a^14 - 
   (6*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 - (4*z^4)/a^14 + (4*z^4)/a^12 + 
   (23*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 18439] -> 
  -6*a^2 + 15*a^4 - 8*a^6 - 23*a^2*z^2 + 56*a^4*z^2 - 24*a^6*z^2 - 
   34*a^2*z^4 + 92*a^4*z^4 - 34*a^6*z^4 - 24*a^2*z^6 + 82*a^4*z^6 - 
   24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 18440] -> 
  -2 + a^2 + 7*a^4 - 5*a^6 - 7*z^2 + 5*a^2*z^2 + 22*a^4*z^2 - 12*a^6*z^2 - 
   9*z^4 + 12*a^2*z^4 + 29*a^4*z^4 - 13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 
   20*a^4*z^6 - 6*a^6*z^6 - z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18441] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 + (6*z^2)/a^4 - (13*z^2)/a^2 + a^2*z^2 + 
   (7*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18442] -> 
  -1 + a^(-2) + a^2 + 7*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 36*z^4 - 
   (16*z^4)/a^2 - 16*a^2*z^4 + 50*z^6 - (17*z^6)/a^2 - 17*a^2*z^6 + 31*z^8 - 
   (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18443] -> a^(-2) - a^2 + a^4 + 7*z^2 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 16*z^4 - (8*z^4)/a^2 - 4*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 
   7*a^2*z^6 - 4*a^4*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 18444] -> a^(-4) - a^(-2) + a^2 + z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 9*z^4 - (7*z^4)/a^4 + (9*z^4)/a^2 - 
   7*a^2*z^4 + 12*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18445] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^4 - 4*a^2*z^2 + 8*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18446] -> 
  11 - 5/a^2 - 5*a^2 + 39*z^2 - (17*z^2)/a^2 - 17*a^2*z^2 + 75*z^4 - 
   (29*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 - (23*z^6)/a^2 - 23*a^2*z^6 + 39*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18447] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 15*z^2 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 - 12*a^2*z^4 + 19*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18448] -> -2/a^6 + 3/a^4 - (11*z^2)/a^6 + 
   (24*z^2)/a^4 - (10*z^2)/a^2 - (21*z^4)/a^6 + (53*z^4)/a^4 - (21*z^4)/a^2 - 
   (18*z^6)/a^6 + (57*z^6)/a^4 - (18*z^6)/a^2 - (7*z^8)/a^6 + (32*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[14, Alternating, 18449] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 2*z^2 - 
   (7*z^2)/a^6 + (14*z^2)/a^4 - (3*z^2)/a^2 - 5*z^4 - (9*z^4)/a^6 + 
   (20*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18450] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, Alternating, 18451] -> 
  2*a^2 - a^4 + 6*z^2 - 11*a^2*z^2 + 6*a^4*z^2 + 17*z^4 - 40*a^2*z^4 + 
   17*a^4*z^4 + 17*z^6 - 51*a^2*z^6 + 17*a^4*z^6 + 7*z^8 - 31*a^2*z^8 + 
   7*a^4*z^8 + z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 18452] -> 1 + (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 
   4*z^4 + (5*z^4)/a^2 - 15*a^2*z^4 + 8*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 - 
   14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 18453] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - 
   2*z^2 - (6*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 - (7*z^4)/a^6 + 
   (14*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18454] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   z^2 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18455] -> 2 - 2*a^2 + a^4 - 5*z^2 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 15*z^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18456] -> 
  a^(-2) - a^2 + a^4 - z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 18457] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18458] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   16*z^4 + (8*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   7*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 18459] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   7*z^2 + z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18460] -> -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18461] -> 1 + z^2/a^6 - z^2/a^4 - a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 18462] -> 
  13 - 6/a^2 - 6*a^2 + 64*z^2 - (29*z^2)/a^2 - 29*a^2*z^2 + 119*z^4 - 
   (45*z^4)/a^2 - 45*a^2*z^4 + 105*z^6 - (30*z^6)/a^2 - 30*a^2*z^6 + 48*z^8 - 
   (9*z^8)/a^2 - 9*a^2*z^8 + 11*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18463] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 28*z^2 - 
   (8*z^2)/a^4 + z^2/a^2 - 16*a^2*z^2 + 38*z^4 - (12*z^4)/a^4 + 
   (15*z^4)/a^2 - 17*a^2*z^4 + 25*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - 
   7*a^2*z^6 + 8*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18464] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 11*z^2 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 - 9*a^2*z^2 + 21*z^4 - (12*z^4)/a^4 + 
   (21*z^4)/a^2 - 12*a^2*z^4 + 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18465] -> 11 - 5/a^2 - 5*a^2 + 33*z^2 - (17*z^2)/a^2 - 
   5*a^2*z^2 - 6*a^4*z^2 + 40*z^4 - (17*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 
   25*z^6 - (7*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 + 8*z^8 - z^8/a^2 + 
   7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 18466] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 14*z^2 - (5*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 18*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 
   10*z^6 - z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 18467] -> 1 - 2/a^4 + 3/a^2 - a^2 + 8*z^2 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 14*z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18468] -> 5/a^8 - 12/a^6 + 8/a^4 + (28*z^2)/a^8 - 
   (62*z^2)/a^6 + (32*z^2)/a^4 + (45*z^4)/a^8 - (118*z^4)/a^6 + 
   (46*z^4)/a^4 + (30*z^6)/a^8 - (105*z^6)/a^6 + (30*z^6)/a^4 + (9*z^8)/a^8 - 
   (48*z^8)/a^6 + (9*z^8)/a^4 + z^10/a^8 - (11*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[14, Alternating, 18469] -> 4/a^8 - 8/a^6 + 3/a^4 + 2/a^2 + 
   (16*z^2)/a^8 - (28*z^2)/a^6 + (9*z^2)/a^2 + (17*z^4)/a^8 - (38*z^4)/a^6 - 
   (15*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^8 - (25*z^6)/a^6 - (17*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (8*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 18470] -> 3/a^8 - 4/a^6 - 2/a^4 + 4/a^2 + 
   (11*z^2)/a^8 - (14*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 + (13*z^4)/a^8 - 
   (24*z^4)/a^6 - (24*z^4)/a^4 + (13*z^4)/a^2 + (6*z^6)/a^8 - (19*z^6)/a^6 - 
   (19*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18471] -> 
  3/a^8 - 4/a^6 - 2/a^4 + 4/a^2 + 2*z^2 + (8*z^2)/a^8 - (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 + 3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - 
   (18*z^4)/a^4 + z^6 + z^6/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18472] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 13*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + 13*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[14, Alternating, 18473] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   2*a^4*z^2 + 5*z^4 - z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 18474] -> 2 + 3/a^8 - 5/a^6 + 2/a^4 - a^(-2) + 5*z^2 + 
   (8*z^2)/a^8 - (14*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^8 - (14*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^8 - 
   (6*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18475] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 6*z^2 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 - 7*a^2*z^2 + 8*z^4 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (19*z^4)/a^2 - 5*a^2*z^4 + 5*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18476] -> 1 - 2/a^4 + 3/a^2 - a^2 + 5*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 - 
   z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 18477] -> 
  1 + 12*z^2 + (12*z^2)/a^4 - (24*z^2)/a^2 + 28*z^4 + (28*z^4)/a^4 - 
   (68*z^4)/a^2 + 23*z^6 + (23*z^6)/a^4 - (74*z^6)/a^2 + 8*z^8 + 
   (8*z^8)/a^4 - (39*z^8)/a^2 + z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 18478] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (8*z^2)/a^4 - 
   (14*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (12*z^4)/a^4 - (24*z^4)/a^2 + 
   8*a^2*z^4 - 12*z^6 + (6*z^6)/a^4 - (19*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18479] -> 3 + 2/a^4 - 4/a^2 - z^2 + (7*z^2)/a^4 - 
   (12*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (9*z^4)/a^4 - (17*z^4)/a^2 + 
   8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18480] -> 3 + 2/a^4 - 4/a^2 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 18481] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 18482] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 12*z^4 + (8*z^4)/a^2 - 12*a^2*z^4 + 
   8*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + 
   z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18483] -> a^(-2) - a^2 + a^4 - 3*z^2 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 
   2*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18484] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 5*z^4 + 
   (5*z^4)/a^2 - 15*a^2*z^4 + 8*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 - 14*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18485] -> -2 + 2/a^2 + a^4 - 3*z^2 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18486] -> 
  2*a^2 - a^4 - 2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   13*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 6*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18487] -> 1 - (2*z^4)/a^2 + 4*a^2*z^4 - 2*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18488] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   z^2 + 9*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   13*a^2*z^4 - 24*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   16*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 18489] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   z^2 + a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 
   a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18490] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18491] -> 
  a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   5*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18492] -> -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 18493] -> -a^(-6) + a^(-4) + a^(-2) - (12*z^2)/a^6 + 
   (25*z^2)/a^4 - (11*z^2)/a^2 - (28*z^4)/a^6 + (68*z^4)/a^4 - (28*z^4)/a^2 - 
   (23*z^6)/a^6 + (74*z^6)/a^4 - (23*z^6)/a^2 - (8*z^8)/a^6 + (39*z^8)/a^4 - 
   (8*z^8)/a^2 - z^10/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[14, Alternating, 18494] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (8*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 8*z^4 - (12*z^4)/a^6 + 
   (24*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 - (6*z^6)/a^6 + (19*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18495] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 
   3*z^2 - (6*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 - 8*z^4 - (9*z^4)/a^6 + 
   (16*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18496] -> -a^(-4) + 2/a^2 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - (10*z^4)/a^8 + (14*z^4)/a^6 + 
   (14*z^4)/a^4 - (10*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 + (16*z^6)/a^4 - 
   (6*z^6)/a^2 - z^8/a^8 + (7*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + 
   z^10/a^4, Knot[14, Alternating, 18497] -> 1 - z^2 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (11*z^4)/a^4 - z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18498] -> 2 + a^(-4) - 2/a^2 - z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18499] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (4*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18500] -> a^(-4) - a^(-2) + a^2 - z^2 - (2*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 18501] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - (5*z^2)/a^6 + (7*z^2)/a^4 - 2*a^2*z^2 + 
   2*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 18502] -> 
  2 + a^(-4) - 2/a^2 - (2*z^2)/a^8 + (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - 
   z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 18503] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (18*z^4)/a^4 + (16*z^4)/a^2 - z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, Alternating, 18504] -> a^(-6) - 3/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18505] -> a^(-10) + a^(-8) - 5/a^6 + 2/a^4 + 2/a^2 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   (5*z^4)/a^10 - (17*z^4)/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 18506] -> a^(-10) - a^(-6) - 3/a^4 + 4/a^2 + 2*z^2 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (6*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18507] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 18508] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 18509] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 18510] -> a^(-10) + 3/a^8 - 11/a^6 + 8/a^4 + 
   (10*z^2)/a^10 - z^2/a^8 - (36*z^2)/a^6 + (24*z^2)/a^4 + (15*z^4)/a^10 - 
   (19*z^4)/a^8 - (47*z^4)/a^6 + (22*z^4)/a^4 + (7*z^6)/a^10 - (21*z^6)/a^8 - 
   (30*z^6)/a^6 + (8*z^6)/a^4 + z^8/a^10 - (8*z^8)/a^8 - (9*z^8)/a^6 + 
   z^8/a^4 - z^10/a^8 - z^10/a^6, Knot[14, Alternating, 18511] -> 
  a^(-10) + 2/a^8 - 7/a^6 + 3/a^4 + 2/a^2 + (6*z^2)/a^10 - (18*z^2)/a^6 + 
   z^2/a^4 + (7*z^2)/a^2 + (5*z^4)/a^10 - (6*z^4)/a^8 - (23*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^10 - (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 18512] -> a^(-10) + a^(-8) - 3/a^6 - 2/a^4 + 4/a^2 + 
   (4*z^2)/a^10 + (2*z^2)/a^8 - (14*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (20*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 18513] -> 
  a^(-10) + a^(-8) - 3/a^6 - 2/a^4 + 4/a^2 + 2*z^2 + (3*z^2)/a^10 + z^2/a^8 - 
   (9*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - 
   (10*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 18514] -> 
  2 + a^(-10) + a^(-8) - 4/a^6 + 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   z^2/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 18515] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 7*z^2 + (7*z^2)/a^6 - (8*z^2)/a^4 - 
   (7*z^2)/a^2 + 11*z^4 + (11*z^4)/a^6 - (18*z^4)/a^4 - (18*z^4)/a^2 + 
   6*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 - (17*z^6)/a^2 + z^8 + z^8/a^6 - 
   (7*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 18516] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - z^4 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18517] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + (3*z^2)/a^6 - 
   z^2/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18518] -> 
  3 + a^(-6) - 3/a^2 + z^2 + (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + a^4*z^2 - 
   4*z^4 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 18519] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^4*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 18520] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 13*z^4 + (3*z^4)/a^4 + 3*a^4*z^4 - 
   9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 18521] -> -2 + 2/a^2 + a^4 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 4*a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 18522] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 18523] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 18524] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 18525] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^4 + 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, Alternating, 18526] -> 15 - 7/a^2 - 7*a^2 + 55*z^2 - 
   (24*z^2)/a^2 - 24*a^2*z^2 + 92*z^4 - (34*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 - 
   (24*z^6)/a^2 - 24*a^2*z^6 + 40*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18527] -> 
  7 - 2/a^4 - 4*a^2 + 21*z^2 - (7*z^2)/a^4 + (4*z^2)/a^2 - 12*a^2*z^2 + 
   29*z^4 - (9*z^4)/a^4 + (12*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18528] -> 
  3*a^4 - 2*a^6 - 6*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 17*a^2*z^4 + 
   41*a^4*z^4 - 17*a^6*z^4 - 17*a^2*z^6 + 51*a^4*z^6 - 17*a^6*z^6 - 
   7*a^2*z^8 + 31*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[14, Alternating, 18529] -> a^2 + a^4 - a^6 - 2*z^2 + 
   a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + 4*a^2*z^4 + 15*a^4*z^4 - 
   8*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18530] -> 
  13 - 6/a^2 - 6*a^2 + 56*z^2 - (25*z^2)/a^2 - 25*a^2*z^2 + 99*z^4 - 
   (37*z^4)/a^2 - 37*a^2*z^4 + 87*z^6 - (25*z^6)/a^2 - 25*a^2*z^6 + 41*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18531] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 20*z^2 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - 12*a^2*z^2 + 26*z^4 - (12*z^4)/a^4 + 
   (19*z^4)/a^2 - 13*a^2*z^4 + 19*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18532] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 18*z^2 - 
   (9*z^2)/a^4 + (8*z^2)/a^2 - 12*a^2*z^2 + 26*z^4 - (12*z^4)/a^4 + 
   (20*z^4)/a^2 - 13*a^2*z^4 + 19*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18533] -> -3/a^4 + 5/a^2 - a^2 - z^2 - (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 4*a^2*z^2 + 3*z^4 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (20*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (11*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18534] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18535] -> a^(-10) - a^(-8) + a^(-6) - 4/a^4 + 4/a^2 + 
   2*z^2 + (3*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (10*z^4)/a^8 + (11*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18536] -> 
  a^2 + a^4 - a^6 - 7*a^2*z^2 + 17*a^4*z^2 - 8*a^6*z^2 - 20*a^2*z^4 + 
   48*a^4*z^4 - 20*a^6*z^4 - 18*a^2*z^6 + 56*a^4*z^6 - 18*a^6*z^6 - 
   7*a^2*z^8 + 32*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[14, Alternating, 18537] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + 
   2*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + 11*a^2*z^4 + 12*a^4*z^4 - 
   8*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18538] -> 2*a^2 - a^4 - 4*z^2 + 5*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + 12*a^2*z^4 + 12*a^4*z^4 - 8*a^6*z^4 - 
   5*z^6 + 13*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18539] -> 
  1 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18540] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 8*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 
   4*z^6 + 10*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18541] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, Alternating, 18542] -> 
  11 - 5/a^2 - 5*a^2 + 51*z^2 - (23*z^2)/a^2 - 23*a^2*z^2 + 91*z^4 - 
   (34*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 - (24*z^6)/a^2 - 24*a^2*z^6 + 40*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18543] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 20*z^2 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 12*a^2*z^2 + 29*z^4 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18544] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (12*z^4)/a^4 + 
   (25*z^4)/a^2 - 8*a^2*z^4 + 12*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18545] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18546] -> 2*a^2 - a^4 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*z^6 + a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, Alternating, 18547] -> 2*a^2 - a^4 - 5*a^2*z^2 + 12*a^4*z^2 - 
   6*a^6*z^2 - 17*a^2*z^4 + 40*a^4*z^4 - 17*a^6*z^4 - 17*a^2*z^6 + 
   51*a^4*z^6 - 17*a^6*z^6 - 7*a^2*z^8 + 31*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[14, Alternating, 18548] -> 
  1 - 2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + 4*a^2*z^4 + 15*a^4*z^4 - 
   8*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18549] -> 
  2 - 2*a^2 + a^4 - 3*z^2 + 3*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 8*z^4 + 
   14*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18550] -> a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18551] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 - (7*z^4)/a^10 + (8*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^6)/a^10 + (12*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^10 + 
   (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[14, Alternating, 18552] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18553] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 5*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   10*a^4*z^6 + 8*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, Alternating, 18554] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   2*z^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18555] -> 
  -a^(-8) + 2/a^4 - z^2/a^10 + (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18556] -> -2 + 6*a^2 - 3*a^4 + z^2 + a^2*z^2 + 
   a^4*z^2 + 15*z^4 - 31*a^2*z^4 + 15*a^4*z^4 + 17*z^6 - 49*a^2*z^6 + 
   17*a^4*z^6 + 7*z^8 - 31*a^2*z^8 + 7*a^4*z^8 + z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[14, Alternating, 18557] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + z^4 + 
   (4*z^4)/a^2 - 15*a^2*z^4 + 8*a^4*z^4 - 7*z^6 + (4*z^6)/a^2 - 14*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18558] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 18559] -> 
  2*a^2 - a^4 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 5*a^2*z^4 + 8*a^4*z^4 - 
   5*a^6*z^4 - 11*a^2*z^6 + 27*a^4*z^6 - 11*a^6*z^6 - 6*a^2*z^8 + 
   23*a^4*z^8 - 6*a^6*z^8 - a^2*z^10 + 8*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 18560] -> 1 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   4*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 3*z^6 + 3*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18561] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + z^2 - 
   (7*z^2)/a^6 + (18*z^2)/a^4 - (10*z^2)/a^2 - 4*z^4 - (9*z^4)/a^6 + 
   (21*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18562] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 
   2/a^2 + z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 18563] -> 
  2 + a^(-4) - 2/a^2 + 9*z^2 + (9*z^2)/a^4 - (19*z^2)/a^2 + 20*z^4 + 
   (20*z^4)/a^4 - (49*z^4)/a^2 + 18*z^6 + (18*z^6)/a^4 - (56*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18564] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   14*z^2 + (3*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 17*z^4 + (8*z^4)/a^4 - 
   (10*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18565] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 18566] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 - 3*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18567] -> 
  -1 + a^(-2) + a^2 - z^2 + 16*z^4 - (8*z^4)/a^2 - 8*a^2*z^4 + 32*z^6 - 
   (12*z^6)/a^2 - 12*a^2*z^6 + 24*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18568] -> 
  a^(-2) - a^2 + a^4 - z^2 - a^2*z^2 + 4*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + 8*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18569] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^4 - 
   3*a^2*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 - a^4*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18570] -> 3 - a^(-2) - a^2 + z^2 - z^2/a^4 + z^2/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   3*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18571] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 - 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (19*z^4)/a^2 - 5*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 18572] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 18573] -> 
  3*a^4 - 2*a^6 - z^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 6*a^2*z^4 + 
   7*a^4*z^4 - 5*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18574] -> a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - (2*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 
   2*z^6 - z^6/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18575] -> 1 - 4/a^6 + 8/a^4 - 4/a^2 + z^2 - 
   (7*z^2)/a^6 + (19*z^2)/a^4 - (9*z^2)/a^2 - 4*z^4 - (9*z^4)/a^6 + 
   (21*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18576] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 
   z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18577] -> 15 - 7/a^2 - 7*a^2 + 59*z^2 - (26*z^2)/a^2 - 
   26*a^2*z^2 + 100*z^4 - (37*z^4)/a^2 - 37*a^2*z^4 + 87*z^6 - (25*z^6)/a^2 - 
   25*a^2*z^6 + 41*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18578] -> 
  7 - 2/a^4 - 4*a^2 + 19*z^2 - (9*z^2)/a^4 + (8*z^2)/a^2 - 12*a^2*z^2 + 
   26*z^4 - (12*z^4)/a^4 + (20*z^4)/a^2 - 13*a^2*z^4 + 19*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18579] -> 
  -1 - 4/a^4 + 7/a^2 - a^2 - z^2 - (3*z^2)/a^6 - (4*z^2)/a^4 + (17*z^2)/a^2 - 
   4*a^2*z^2 + 3*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + (20*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - z^6/a^6 + (4*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 18580] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 + z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 18581] -> 1 + 16*z^4 - (8*z^4)/a^2 - 
   8*a^2*z^4 + 32*z^6 - (12*z^6)/a^2 - 12*a^2*z^6 + 24*z^8 - (6*z^8)/a^2 - 
   6*a^2*z^8 + 8*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18582] -> -1 + a^(-2) + a^2 - z^2 + 4*z^4 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 8*z^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + 
   z^10/a^2, Knot[14, Alternating, 18583] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - 9*z^4 + 19*a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18584] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   2*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 8*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18585] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 11*z^6 + (11*z^6)/a^4 - 
   (27*z^6)/a^2 + 6*z^8 + (6*z^8)/a^4 - (23*z^8)/a^2 + z^10 + z^10/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 18586] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18587] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + 2*z^4 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 + 4*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - 
   (5*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 18588] -> a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18589] -> -a^(-8) + 2/a^4 - (4*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (8*z^4)/a^10 + (16*z^4)/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 18590] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 - (3*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18591] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 3*a^2*z^4 + 
   4*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18592] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 - (2*z^4)/a^2 + 2*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18593] -> 
  -a^(-4) + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 8*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18594] -> 1 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 18595] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18596] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 18597] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - 3*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18598] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 + 
   4*z^6 - z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 18599] -> 3 - a^(-2) - a^2 + 19*z^2 - 
   (9*z^2)/a^2 - 9*a^2*z^2 + 49*z^4 - (20*z^4)/a^2 - 20*a^2*z^4 + 56*z^6 - 
   (18*z^6)/a^2 - 18*a^2*z^6 + 32*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18600] -> 
  1 + 4*z^2 - (4*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18601] -> -1 + a^(-2) + a^2 + 3*z^2 - (2*z^2)/a^4 - 
   2*a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 18602] -> 1 + a^2 - 2*a^4 + a^6 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18603] -> 
  3 - a^(-2) - a^2 + z^2 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[14, Alternating, 18604] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 7*z^4 + 
   (4*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18605] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   (2*z^2)/a^4 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18606] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   2*z^4 - z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18607] -> 
  -3 + 8*a^2 - 4*a^4 - 2*z^2 + 8*a^2*z^2 - 2*a^4*z^2 + 8*z^4 - 14*a^2*z^4 + 
   8*a^4*z^4 + 12*z^6 - 32*a^2*z^6 + 12*a^4*z^6 + 6*z^8 - 24*a^2*z^8 + 
   6*a^4*z^8 + z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 18608] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   4*a^4*z^4 - 9*z^6 + (4*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18609] -> 4*a^6 - 3*a^8 + 6*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + 17*a^4*z^4 - 34*a^6*z^4 + 16*a^8*z^4 + 17*a^4*z^6 - 
   50*a^6*z^6 + 17*a^8*z^6 + 7*a^4*z^8 - 31*a^6*z^8 + 7*a^8*z^8 + a^4*z^10 - 
   9*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[14, Alternating, 18610] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 
   8*a^2*z^4 - 13*a^4*z^4 - 7*a^6*z^4 + 7*a^8*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 
   12*a^6*z^6 + 5*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[14, Alternating, 18611] -> 
  4*a^6 - 3*a^8 + 4*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 
   8*a^2*z^4 - 15*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 
   7*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[14, Alternating, 18612] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*z^2 + a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + z^6 - 
   3*a^2*z^6 - 8*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[14, Alternating, 18613] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 13*z^4 + (7*z^4)/a^2 + 5*a^2*z^4 + 
   3*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 - 6*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18614] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18615] -> a^4 + 2*a^6 - 2*a^8 + 4*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 8*a^2*z^4 - 12*a^4*z^4 - 7*a^6*z^4 + 
   7*a^8*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 12*a^6*z^6 + 5*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 18616] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 + 
   a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 
   10*a^4*z^4 - a^6*z^4 + 3*a^8*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 18617] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 18618] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 + 
   z^4/a^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 18619] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - (11*z^6)/a^6 + (26*z^6)/a^4 - 
   (11*z^6)/a^2 - (6*z^8)/a^6 + (23*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[14, Alternating, 18620] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18621] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 + z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + 
   (5*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 10*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   3*a^4*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18622] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 9*z^6 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18623] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   z^4 - (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18624] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - 2*z^4 - (2*z^4)/a^6 + z^4/a^2 - 3*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18625] -> 
  2 + 2/a^6 - 3/a^4 + z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 4*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 18626] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 18627] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 - (2*z^4)/a^2 - 3*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18628] -> 
  5/a^8 - 12/a^6 + 8/a^4 + (22*z^2)/a^8 - (50*z^2)/a^6 + (26*z^2)/a^4 + 
   (34*z^4)/a^8 - (90*z^4)/a^6 + (35*z^4)/a^4 + (24*z^6)/a^8 - (82*z^6)/a^6 + 
   (24*z^6)/a^4 + (8*z^8)/a^8 - (40*z^8)/a^6 + (8*z^8)/a^4 + z^10/a^8 - 
   (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[14, Alternating, 18629] -> 
  3/a^8 - 5/a^6 + 3/a^2 + (12*z^2)/a^8 - (20*z^2)/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + (13*z^4)/a^8 - (29*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + 
   (6*z^6)/a^8 - (20*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18630] -> 3 + 2/a^4 - 4/a^2 + 11*z^2 + (11*z^2)/a^4 - 
   (24*z^2)/a^2 + 21*z^4 + (21*z^4)/a^4 - (53*z^4)/a^2 + 18*z^6 + 
   (18*z^6)/a^4 - (57*z^6)/a^2 + 7*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 18631] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + (7*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 + (9*z^4)/a^4 - (20*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18632] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 10*z^4 + 
   (6*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 10*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18633] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - z^4 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18634] -> -1 + 4*a^2 - 2*a^4 - z^2 + 4*a^2*z^2 - 
   a^4*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 18635] -> 
  -1 + 4*a^2 - 2*a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^2 - 
   a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18636] -> 
  15 - 7/a^2 - 7*a^2 + 51*z^2 - (22*z^2)/a^2 - 22*a^2*z^2 + 88*z^4 - 
   (33*z^4)/a^2 - 33*a^2*z^4 + 81*z^6 - (24*z^6)/a^2 - 24*a^2*z^6 + 40*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18637] -> 7 - 2/a^4 - 4*a^2 + 23*z^2 - (5*z^2)/a^4 - 
   12*a^2*z^2 + 30*z^4 - (8*z^4)/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 18638] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18639] -> -a^(-4) + 2/a^2 + 10*z^2 + (10*z^2)/a^4 - 
   (19*z^2)/a^2 + 27*z^4 + (27*z^4)/a^4 - (64*z^4)/a^2 + 23*z^6 + 
   (23*z^6)/a^4 - (73*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - (39*z^8)/a^2 + z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 18640] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + (8*z^2)/a^4 - (16*z^2)/a^2 + a^2*z^2 - 
   3*z^4 + (12*z^4)/a^4 - (25*z^4)/a^2 + 7*a^2*z^4 - 11*z^6 + (6*z^6)/a^4 - 
   (19*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18641] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 9*z^2 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (17*z^2)/a^2 + 12*z^4 + (7*z^4)/a^6 - (4*z^4)/a^4 - (26*z^4)/a^2 + 6*z^6 + 
   (5*z^6)/a^6 - (11*z^6)/a^4 - (19*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[14, Alternating, 18642] -> 
  2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18643] -> 
  5/a^12 - 13/a^10 + 8/a^8 + a^(-6) + (10*z^2)/a^12 - (29*z^2)/a^10 + 
   (17*z^2)/a^8 + (6*z^2)/a^6 + (12*z^4)/a^12 - (29*z^4)/a^10 + (5*z^4)/a^8 + 
   (11*z^4)/a^6 + (6*z^6)/a^12 - (19*z^6)/a^10 - (9*z^6)/a^8 + (6*z^6)/a^6 + 
   z^8/a^12 - (7*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 18644] -> 3/a^12 - 6/a^10 + 4/a^6 + (5*z^2)/a^12 - 
   (11*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - 
   (7*z^4)/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - 
   (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 18645] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (7*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^2 + 
   (9*z^4)/a^8 - (17*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - 
   (14*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18646] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18647] -> 2/a^12 - 3/a^10 - 2/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 18648] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 + (11*z^4)/a^4 - 
   (16*z^4)/a^2 + 11*a^2*z^4 - 17*z^6 + (6*z^6)/a^4 - (17*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18649] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 11*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^4*z^4 - 9*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 18650] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (13*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18651] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 18652] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (7*z^2)/a^8 - (12*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 + (9*z^4)/a^8 - (19*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18653] -> -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - z^4/a^4 - 2*a^2*z^4 + a^4*z^4 - 
   (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 18654] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + (4*z^2)/a^4 + 7*a^2*z^2 - 17*z^4 + 
   (8*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18655] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 5*z^2 + z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (10*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18656] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^8 + z^4/a^6 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 18657] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + 
   (4*z^2)/a^2 + a^4*z^2 - 4*z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 18658] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 18659] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4/a^2 - 
   4*a^4*z^4 + 2*a^6*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18660] -> 
  -3 + 8*a^2 - 4*a^4 - 5*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 2*z^4 + 
   8*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 + 4*z^6 - 5*a^2*z^6 - 13*a^4*z^6 + 
   5*a^6*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 18661] -> -2 + 6*a^2 - 3*a^4 - z^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   2*z^6 + z^6/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 18662] -> 4/a^12 - 11/a^10 + 7/a^8 + 
   a^(-6) + (8*z^2)/a^12 - (24*z^2)/a^10 + (15*z^2)/a^8 + (6*z^2)/a^6 + 
   (11*z^4)/a^12 - (25*z^4)/a^10 + (4*z^4)/a^8 + (11*z^4)/a^6 + 
   (6*z^6)/a^12 - (18*z^6)/a^10 - (9*z^6)/a^8 + (6*z^6)/a^6 + z^8/a^12 - 
   (7*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[14, Alternating, 18663] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (4*z^2)/a^12 - (8*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 18664] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (5*z^2)/a^8 - (9*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + (8*z^4)/a^8 - (16*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18665] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 + z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18666] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18667] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 18668] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18669] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - a^4*z^2 + 
   a^6*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 18670] -> 
  4*a^6 - 3*a^8 - 2*a^4*z^2 + 10*a^6*z^2 + 2*a^8*z^2 - 4*a^10*z^2 - 
   7*a^4*z^4 + 14*a^6*z^4 + 12*a^8*z^4 - 8*a^10*z^4 - 5*a^4*z^6 + 
   13*a^6*z^6 + 13*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 
   a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[14, Alternating, 18671] -> 
  2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18672] -> 
  2*a^4 - a^6 + a^8 - a^10 + a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - 
   2*a^2*z^4 + 8*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 18673] -> a^2 + a^8 - a^10 + a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 - a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 18674] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 13*z^4 - 
   (8*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 
   5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18675] -> 1 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 - 3*a^4*z^4 + 
   7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 18676] -> 17 - 8/a^2 - 8*a^2 + 56*z^2 - 
   (24*z^2)/a^2 - 24*a^2*z^2 + 92*z^4 - (34*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 - 
   (24*z^6)/a^2 - 24*a^2*z^6 + 40*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18677] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 26*z^2 - (5*z^2)/a^4 - z^2/a^2 - 13*a^2*z^2 + 
   31*z^4 - (8*z^4)/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18678] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 13*a^2*z^2 + 33*a^4*z^2 - 14*a^6*z^2 - 
   22*a^2*z^4 + 58*a^4*z^4 - 22*a^6*z^4 - 18*a^2*z^6 + 58*a^4*z^6 - 
   18*a^6*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 18679] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 2*z^2 - 3*a^2*z^2 + 18*a^4*z^2 - 8*a^6*z^2 - 
   5*z^4 + 3*a^2*z^4 + 21*a^4*z^4 - 9*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18680] -> 
  7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 12*z^2 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18681] -> 2*a^6 + a^8 - 2*a^10 - 5*a^6*z^2 + 
   28*a^8*z^2 - 15*a^10*z^2 - 23*a^6*z^4 + 72*a^8*z^4 - 29*a^10*z^4 - 
   22*a^6*z^6 + 75*a^8*z^6 - 23*a^10*z^6 - 8*a^6*z^8 + 39*a^8*z^8 - 
   8*a^10*z^8 - a^6*z^10 + 10*a^8*z^10 - a^10*z^10 + a^8*z^12, 
 Knot[14, Alternating, 18682] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + a^4*z^2 - 
   4*a^6*z^2 + 20*a^8*z^2 - 10*a^10*z^2 - 6*a^4*z^4 + 5*a^6*z^4 + 
   27*a^8*z^4 - 12*a^10*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 19*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 18683] -> a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 
   a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 10*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   8*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 18684] -> -a^4 + 6*a^6 - 4*a^8 - 6*a^4*z^2 + 
   17*a^6*z^2 + 2*a^8*z^2 - 6*a^10*z^2 - 11*a^4*z^4 + 23*a^6*z^4 + 
   16*a^8*z^4 - 11*a^10*z^4 - 6*a^4*z^6 + 18*a^6*z^6 + 17*a^8*z^6 - 
   6*a^10*z^6 - a^4*z^8 + 7*a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 18685] -> a^4 + a^6 - a^10 - a^2*z^2 + 
   8*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 13*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18686] -> 
  a^2 - a^4 + 2*a^6 - a^10 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 + a^8*z^2 - 
   2*a^10*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 18687] -> 
  1 - 4/a^6 + 8/a^4 - 4/a^2 - z^2 - (9*z^2)/a^6 + (21*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*z^4 - (10*z^4)/a^6 + (24*z^4)/a^4 + z^4/a^2 - 4*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18688] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 9*z^2 + (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 18689] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 6*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18690] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^6 - 
   z^2/a^4 + (6*z^2)/a^2 - 6*z^4 - (5*z^4)/a^6 + (5*z^4)/a^4 + (10*z^4)/a^2 - 
   4*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 18691] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + 
   (7*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (9*z^4)/a^4 - 
   (20*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18692] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18693] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^8 - (11*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18694] -> 5 - 2/a^2 - 2*a^2 + 16*z^2 - (7*z^2)/a^2 - 
   7*a^2*z^2 + 33*z^4 - (13*z^4)/a^2 - 13*a^2*z^4 + 39*z^6 - (13*z^6)/a^2 - 
   13*a^2*z^6 + 25*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18695] -> 
  -a^2 + 5*a^4 - 3*a^6 - 10*a^2*z^2 + 25*a^4*z^2 - 11*a^6*z^2 - 21*a^2*z^4 + 
   53*a^4*z^4 - 21*a^6*z^4 - 18*a^2*z^6 + 57*a^4*z^6 - 18*a^6*z^6 - 
   7*a^2*z^8 + 32*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[14, Alternating, 18696] -> a^(-8) - 4/a^6 + 4/a^4 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + (5*z^4)/a^8 - 
   (12*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18697] -> 
  -1 + 3*a^2 - a^6 - 6*z^2 + 10*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + 
   16*a^2*z^4 + 11*a^4*z^4 - 8*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 13*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18698] -> -a^(-4) + 2/a^2 + z^2/a^8 - z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18699] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   2*z^4 + z^4/a^8 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18700] -> -a^(-6) + a^(-4) + a^(-2) - (10*z^2)/a^6 + 
   (21*z^2)/a^4 - (9*z^2)/a^2 - (21*z^4)/a^6 + (52*z^4)/a^4 - (21*z^4)/a^2 - 
   (18*z^6)/a^6 + (57*z^6)/a^4 - (18*z^6)/a^2 - (7*z^8)/a^6 + (32*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[14, Alternating, 18701] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 - 
   (7*z^2)/a^6 + (15*z^2)/a^4 - (6*z^2)/a^2 - 5*z^4 - (9*z^4)/a^6 + 
   (20*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18702] -> 5 - 8*a^2 + 4*a^4 + 20*z^2 - 
   44*a^2*z^2 + 20*a^4*z^2 + 33*z^4 - 86*a^2*z^4 + 33*a^4*z^4 + 24*z^6 - 
   81*a^2*z^6 + 24*a^4*z^6 + 8*z^8 - 40*a^2*z^8 + 8*a^4*z^8 + z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[14, Alternating, 18703] -> 
  3 + a^(-2) - 7*a^2 + 4*a^4 + 3*z^2 + (4*z^2)/a^2 - 24*a^2*z^2 + 
   12*a^4*z^2 - 7*z^4 + (8*z^4)/a^2 - 30*a^2*z^4 + 13*a^4*z^4 - 12*z^6 + 
   (5*z^6)/a^2 - 20*a^2*z^6 + 6*a^4*z^6 - 6*z^8 + z^8/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18704] -> 
  9 - 4/a^2 - 4*a^2 + 44*z^2 - (20*z^2)/a^2 - 20*a^2*z^2 + 86*z^4 - 
   (33*z^4)/a^2 - 33*a^2*z^4 + 81*z^6 - (24*z^6)/a^2 - 24*a^2*z^6 + 40*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18705] -> 7 - 3/a^2 - 3*a^2 + 23*z^2 - (12*z^2)/a^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 30*z^4 - (13*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   20*z^6 - (6*z^6)/a^2 + 12*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 18706] -> 
  1 + 8*z^2 + (8*z^2)/a^4 - (16*z^2)/a^2 + 20*z^4 + (20*z^4)/a^4 - 
   (48*z^4)/a^2 + 18*z^6 + (18*z^6)/a^4 - (56*z^6)/a^2 + 7*z^8 + 
   (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 18707] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 + 8*z^4 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 - (15*z^4)/a^2 + 5*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 18708] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) + (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^2 + (5*z^4)/a^8 - 
   (8*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18709] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 10*z^2 - 14*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 + 
   12*z^4 - 22*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 + 6*z^6 - 18*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[14, Alternating, 18710] -> 
  2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 2*z^2 + (2*z^2)/a^2 - 10*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - z^4 + (3*z^4)/a^2 - 14*a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 - 3*z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18711] -> 
  4 - a^(-4) - 2*a^2 + 12*z^2 - (8*z^2)/a^4 + (8*z^2)/a^2 - 9*a^2*z^2 + 
   21*z^4 - (12*z^4)/a^4 + (20*z^4)/a^2 - 12*a^2*z^4 + 18*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18712] -> 
  2 - a^(-4) + a^(-2) - a^2 + 8*z^2 - (5*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 14*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 18713] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   11*z^2 + (3*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 16*z^4 + (8*z^4)/a^4 - 
   (10*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18714] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   4*z^2 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18715] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18716] -> 4*a^6 - 3*a^8 + 3*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 2*a^6*z^4 + 4*a^8*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[14, Alternating, 18717] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18718] -> a^4 + 2*a^6 - 2*a^8 + z^2 + a^4*z^2 + 
   3*a^6*z^2 + z^4 - a^2*z^4 - 3*a^4*z^4 + a^8*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 18719] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - a^2*z^2 + 
   4*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 2*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[14, Alternating, 18720] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18721] -> 
  -5 + 3/a^2 + 3*a^2 - 9*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - z^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 4*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18722] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   z^4/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18723] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^2 - 
   a^2*z^2 + 4*z^4 - (2*z^4)/a^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18724] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 - 
   (5*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 - 2*z^4 - (6*z^4)/a^6 + 
   (15*z^4)/a^4 - (3*z^4)/a^2 - 3*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 18725] -> -2/a^10 + 2/a^8 + a^(-4) - 
   (6*z^2)/a^10 + (12*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - (8*z^4)/a^10 + 
   (18*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (7*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[14, Alternating, 18726] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18727] -> 
  3 + 2/a^4 - 4/a^2 + 15*z^2 + (15*z^2)/a^4 - (32*z^2)/a^2 + 25*z^4 + 
   (25*z^4)/a^4 - (65*z^4)/a^2 + 19*z^6 + (19*z^6)/a^4 - (63*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18728] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 20*z^4 + (9*z^4)/a^4 - 
   (14*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18729] -> 4 + 3/a^4 - 6/a^2 + 16*z^2 + (16*z^2)/a^4 - 
   (35*z^2)/a^2 + 25*z^4 + (25*z^4)/a^4 - (66*z^4)/a^2 + 19*z^6 + 
   (19*z^6)/a^4 - (63*z^6)/a^2 + 7*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 + z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 18730] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + (9*z^2)/a^8 - (17*z^2)/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 + (10*z^4)/a^8 - (23*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18731] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 9*z^2 + 
   (7*z^2)/a^4 - (9*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 + (9*z^4)/a^4 - 
   (16*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18732] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 18*z^2 + 
   (4*z^2)/a^4 + 9*a^2*z^2 - 23*z^4 + (6*z^4)/a^4 - (6*z^4)/a^2 + 
   10*a^2*z^4 - 16*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18733] -> -3 - 4/a^4 + 8/a^2 - 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18734] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 + (2*z^2)/a^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 18735] -> 13 - 6/a^2 - 6*a^2 + 48*z^2 - (21*z^2)/a^2 - 
   21*a^2*z^2 + 79*z^4 - (29*z^4)/a^2 - 29*a^2*z^4 + 69*z^6 - (20*z^6)/a^2 - 
   20*a^2*z^6 + 34*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18736] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 11*z^2 - (3*z^2)/a^4 - a^2*z^2 - 3*a^4*z^2 + 
   5*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 18737] -> 
  1 + 12*z^2 + (12*z^2)/a^4 - (24*z^2)/a^2 + 24*z^4 + (24*z^4)/a^4 - 
   (60*z^4)/a^2 + 19*z^6 + (19*z^6)/a^4 - (62*z^6)/a^2 + 7*z^8 + 
   (7*z^8)/a^4 - (33*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 18738] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18739] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + 
   (9*z^2)/a^8 - (18*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + (10*z^4)/a^8 - 
   (23*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^8 - (16*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18740] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (6*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 
   15*z^4 + (9*z^4)/a^4 - (15*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18741] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 18742] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + 
   (6*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 16*z^4 + (9*z^4)/a^2 - 10*a^2*z^4 + 
   8*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + 
   z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18743] -> -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^4 + 
   2*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 18744] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + 
   (9*z^2)/a^8 - (15*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + (10*z^4)/a^8 - 
   (20*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18745] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + 3*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (6*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18746] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (4*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 19*z^4 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 18747] -> -1 + a^(-2) + a^2 - 2*z^2 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 
   11*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18748] -> a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^4 - 5*a^2*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 18749] -> 1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 3*z^2 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18750] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 + z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, Alternating, 18751] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 
   (3*z^2)/a^2 - 4*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18752] -> 
  a^(-2) - a^4 + a^6 - 2*z^2 + z^2/a^4 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   4*z^4 + z^4/a^4 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[14, Alternating, 18753] -> -2/a^10 + 2/a^8 + a^(-4) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18754] -> 
  -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4 - z^4/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, Alternating, 18755] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (7*z^2)/a^8 - (14*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^2)/a^2 + (9*z^4)/a^8 - (20*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18756] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^6/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, Alternating, 18757] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18758] -> 
  a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 
   a^2*z^4 + 6*a^6*z^4 + 3*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 18759] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18760] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 2*a^2*z^2 + 
   a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 2*z^4 - a^2*z^4 + 7*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 - z^6 + 2*a^2*z^6 + 7*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 18761] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18762] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18763] -> -1 + 6*a^4 - 4*a^6 - 4*z^2 + 3*a^2*z^2 + 
   14*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + 9*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 
   4*z^6 + 10*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18764] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + a^6*z^2 + 15*a^8*z^2 - 8*a^10*z^2 - 
   4*a^4*z^4 + 5*a^6*z^4 + 21*a^8*z^4 - 9*a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 
   15*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[14, Alternating, 18765] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   7*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18766] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 - (2*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18767] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 
   3*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 10*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18768] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 - z^2 - (9*z^2)/a^6 + (20*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*z^4 - (10*z^4)/a^6 + (24*z^4)/a^4 + z^4/a^2 - 4*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18769] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (8*z^4)/a^4 - z^4/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18770] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 18771] -> -1 + a^(-2) + a^2 + 3*z^2 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 12*z^4 - (8*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18772] -> a^(-4) - a^(-2) + a^2 + 3*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18773] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (7*z^2)/a^8 - (11*z^2)/a^6 + 
   (5*z^2)/a^2 + (9*z^4)/a^8 - (19*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18774] -> 17 - 8/a^2 - 8*a^2 + 56*z^2 - (24*z^2)/a^2 - 
   24*a^2*z^2 + 84*z^4 - (30*z^4)/a^2 - 30*a^2*z^4 + 70*z^6 - (20*z^6)/a^2 - 
   20*a^2*z^6 + 34*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18775] -> 
  -5*a^2 + 13*a^4 - 7*a^6 - 18*a^2*z^2 + 45*a^4*z^2 - 19*a^6*z^2 - 
   26*a^2*z^4 + 71*a^4*z^4 - 26*a^6*z^4 - 19*a^2*z^6 + 64*a^4*z^6 - 
   19*a^6*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 18776] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + 9*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - 
   9*z^4 + 16*a^2*z^4 + 17*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 
   14*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18777] -> 
  7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 12*z^2 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   5*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 18778] -> 
  3*a^4 - 2*a^6 - 10*a^2*z^2 + 24*a^4*z^2 - 11*a^6*z^2 - 21*a^2*z^4 + 
   53*a^4*z^4 - 21*a^6*z^4 - 18*a^2*z^6 + 57*a^4*z^6 - 18*a^6*z^6 - 
   7*a^2*z^8 + 32*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[14, Alternating, 18779] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   4*z^2 + 3*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + 12*a^2*z^4 + 
   13*a^4*z^4 - 8*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18780] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + 12*a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 - 9*z^4 + 17*a^2*z^4 + 11*a^4*z^4 - 8*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18781] -> 
  2*a^2 - a^4 + z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 11*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18782] -> 3 - a^(-2) - a^2 + 7*z^2 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 - a^2*z^2 + z^4 + (8*z^4)/a^4 - (16*z^4)/a^2 + 4*a^2*z^4 - 
   7*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18783] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18784] -> 2 + a^(-4) - 2/a^2 + z^2 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 5*a^2*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18785] -> 
  3 + 2/a^4 - 4/a^2 + 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18786] -> 9 - 4/a^2 - 4*a^2 + 36*z^2 - (16*z^2)/a^2 - 
   16*a^2*z^2 + 66*z^4 - (25*z^4)/a^2 - 25*a^2*z^4 + 63*z^6 - (19*z^6)/a^2 - 
   19*a^2*z^6 + 33*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18787] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 8*z^2 - (7*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 
   16*z^4 - (9*z^4)/a^4 + (16*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18788] -> 
  5 + 4/a^4 - 8/a^2 + 16*z^2 + (16*z^2)/a^4 - (36*z^2)/a^2 + 25*z^4 + 
   (25*z^4)/a^4 - (66*z^4)/a^2 + 19*z^6 + (19*z^6)/a^4 - (63*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18789] -> 7 - 3/a^2 - 3*a^2 + 35*z^2 - 
   (16*z^2)/a^2 - 16*a^2*z^2 + 66*z^4 - (25*z^4)/a^2 - 25*a^2*z^4 + 63*z^6 - 
   (19*z^6)/a^2 - 19*a^2*z^6 + 33*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 18790] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 8*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 
   2*a^4*z^2 - z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 18791] -> 
  2 + a^(-4) - 2/a^2 + 11*z^2 + (11*z^2)/a^4 - (23*z^2)/a^2 + 21*z^4 + 
   (21*z^4)/a^4 - (53*z^4)/a^2 + 18*z^6 + (18*z^6)/a^4 - (57*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18792] -> 5 - 8*a^2 + 4*a^4 + 6*z^2 + 
   (2*z^2)/a^2 - 22*a^2*z^2 + 10*a^4*z^2 - 2*z^4 + (5*z^4)/a^2 - 25*a^2*z^4 + 
   10*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 18793] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 8*z^4 + (8*z^4)/a^6 - (13*z^4)/a^4 - 
   (14*z^4)/a^2 + 5*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - (13*z^6)/a^2 + z^8 + 
   z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 18794] -> 3/a^4 - 4/a^2 + 2*a^2 - 7*z^2 + 
   (7*z^2)/a^4 - (11*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + (9*z^4)/a^4 - 
   (16*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18795] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18796] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 18797] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + (4*z^2)/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - 17*z^4 + (8*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 
   14*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 18798] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 4*z^2 + z^2/a^2 - 10*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 + (2*z^4)/a^2 - 11*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18799] -> -2 + a^(-4) + 2*a^2 - 3*z^2 + (2*z^2)/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18800] -> 
  -5 + 2/a^4 + 4*a^2 - 18*z^2 + (4*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 23*z^4 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 18801] -> -a^4 + 6*a^6 - 4*a^8 + 
   4*a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 8*a^2*z^4 - 15*a^4*z^4 + 
   2*a^6*z^4 + 4*a^8*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 7*a^6*z^6 + 4*a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[14, Alternating, 18802] -> 4*a^6 - 3*a^8 + 2*z^2 + a^2*z^2 - 
   5*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 + 2*a^8*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[14, Alternating, 18803] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*z^2 + z^2/a^2 - 3*a^2*z^2 + 5*a^6*z^2 + z^4/a^2 - 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - 
   a^6*z^6, Knot[14, Alternating, 18804] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - (3*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, Alternating, 18805] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18806] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 + z^4/a^8 - (5*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[14, Alternating, 18807] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 18808] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (3*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18809] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4 - z^4/a^10 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 18810] -> 5 + 4/a^4 - 8/a^2 + 20*z^2 + (20*z^2)/a^4 - 
   (44*z^2)/a^2 + 33*z^4 + (33*z^4)/a^4 - (86*z^4)/a^2 + 24*z^6 + 
   (24*z^6)/a^4 - (81*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - (40*z^8)/a^2 + z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 18811] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 3*z^2 + (11*z^2)/a^4 - (19*z^2)/a^2 + 6*a^2*z^2 - 
   11*z^4 + (13*z^4)/a^4 - (28*z^4)/a^2 + 9*a^2*z^4 - 13*z^6 + (6*z^6)/a^4 - 
   (20*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18812] -> 
  -5 + 2/a^4 + 4*a^2 - 21*z^2 + (7*z^2)/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 
   29*z^4 + (9*z^4)/a^4 - (12*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18813] -> 
  -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - 3*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 18814] -> 
  11 - 5/a^2 - 5*a^2 + 47*z^2 - (21*z^2)/a^2 - 21*a^2*z^2 + 87*z^4 - 
   (33*z^4)/a^2 - 33*a^2*z^4 + 81*z^6 - (24*z^6)/a^2 - 24*a^2*z^6 + 40*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18815] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 22*z^2 - 
   (5*z^2)/a^4 - z^2/a^2 - 12*a^2*z^2 + 30*z^4 - (8*z^4)/a^4 + (8*z^4)/a^2 - 
   13*a^2*z^4 + 20*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18816] -> 9 - 4/a^2 - 4*a^2 + 24*z^2 - (12*z^2)/a^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 30*z^4 - (13*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   20*z^6 - (6*z^6)/a^2 + 12*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 18817] -> 
  4 - a^(-4) - 2*a^2 + 10*z^2 - (3*z^2)/a^4 - a^2*z^2 - 3*a^4*z^2 + 13*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18818] -> 5 - 2/a^2 - 2*a^2 + 6*z^2 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 - 2*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 18819] -> 3 - a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 18820] -> 
  2 + a^(-4) - 2/a^2 + 17*z^2 + (17*z^2)/a^4 - (35*z^2)/a^2 + 32*z^4 + 
   (32*z^4)/a^4 - (81*z^4)/a^2 + 24*z^6 + (24*z^6)/a^4 - (80*z^6)/a^2 + 
   8*z^8 + (8*z^8)/a^4 - (40*z^8)/a^2 + z^10 + z^10/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 18821] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + 
   (11*z^2)/a^4 - (20*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + (13*z^4)/a^4 - 
   (29*z^4)/a^2 + 8*a^2*z^4 - 12*z^6 + (6*z^6)/a^4 - (20*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18822] -> 1 + 2/a^4 - 3/a^2 + a^2 + (9*z^2)/a^4 - 
   (16*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 + (10*z^4)/a^4 - (23*z^4)/a^2 + 
   6*a^2*z^4 - 9*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18823] -> 4/a^8 - 9/a^6 + 5/a^4 + a^(-2) + 
   (12*z^2)/a^8 - (24*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 + (13*z^4)/a^8 - 
   (30*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^8 - (20*z^6)/a^6 - 
   (12*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18824] -> 
  3/a^8 - 5/a^6 + 3/a^2 + z^2 + (6*z^2)/a^8 - (9*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + 
   z^6 + z^6/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18825] -> 
  4 - a^(-4) - 2*a^2 + 11*z^2 - (7*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 
   17*z^4 - (9*z^4)/a^4 + (16*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18826] -> 
  2 - a^(-4) + a^(-2) - a^2 + 7*z^2 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 11*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 18827] -> a^(-4) - a^(-2) + a^2 - 9*z^2 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 20*z^4 + (12*z^4)/a^4 - 
   (20*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 + (6*z^6)/a^4 - (18*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18828] -> 1 + 2/a^4 - 3/a^2 + a^2 - 6*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 13*z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18829] -> -1 + a^(-2) + a^2 - 7*z^2 + (6*z^2)/a^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - 15*z^4 + (9*z^4)/a^2 - 15*a^2*z^4 + 9*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 18830] -> 
  4/a^8 - 8/a^6 + 3/a^4 + 2/a^2 + (12*z^2)/a^8 - (22*z^2)/a^6 + (7*z^2)/a^2 + 
   (13*z^4)/a^8 - (29*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^8 - 
   (20*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18831] -> 1 + 3/a^8 - 5/a^6 + a^(-4) + a^(-2) + 
   3*z^2 + (6*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + 3*z^4 + (4*z^4)/a^8 - 
   (8*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18832] -> -2 + a^(-4) + 2*a^2 - 12*z^2 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 8*a^2*z^2 - 19*z^4 + (9*z^4)/a^4 - (14*z^4)/a^2 + 
   10*a^2*z^4 - 15*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18833] -> a^(-2) - a^2 + a^4 - z^2 + (3*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 12*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18834] -> 
  4/a^8 - 7/a^6 + a^(-4) + 3/a^2 + (16*z^2)/a^8 - (27*z^2)/a^6 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + (17*z^4)/a^8 - (38*z^4)/a^6 - (16*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^8 - (25*z^6)/a^6 - (17*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^8 - (8*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18835] -> 1 + 3/a^8 - 4/a^6 - a^(-4) + 2/a^2 + 3*z^2 + 
   (8*z^2)/a^8 - (9*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (18*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, Alternating, 18836] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   13*z^2 + (8*z^2)/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 21*z^4 + (12*z^4)/a^4 - 
   (20*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 + (6*z^6)/a^4 - (18*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18837] -> 2/a^4 - 2/a^2 + a^4 - 7*z^2 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 13*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 9*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 18838] -> 
  a^(-2) - a^4 + a^6 - 3*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   3*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 18839] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*z^6 + a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 18840] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   z^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 7*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 18841] -> 1 - a^2 + a^4 + a^6 - a^8 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 18842] -> a^6 + 3*a^8 - 3*a^10 - 2*a^4*z^2 + 
   6*a^6*z^2 + 13*a^8*z^2 - 8*a^10*z^2 - 7*a^4*z^4 + 13*a^6*z^4 + 
   18*a^8*z^4 - 9*a^10*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 
   5*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[14, Alternating, 18843] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 
   5*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 - 2*a^2*z^4 + 9*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18844] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - a^2*z^2 - a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18845] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - a^10*z^2 - z^4 - 
   a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 18846] -> 
  -1 + a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   4*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18847] -> 3/a^8 - 8/a^6 + 6/a^4 + (9*z^2)/a^8 - 
   (20*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 + (10*z^4)/a^8 - (24*z^4)/a^6 - 
   z^4/a^4 + (5*z^4)/a^2 + (5*z^6)/a^8 - (16*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 18848] -> 3*a^4 - 2*a^6 - 4*z^2 + 
   6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + 15*a^2*z^4 + 5*a^4*z^4 - 
   5*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18849] -> 
  3/a^12 - 6/a^10 + 4/a^6 + (4*z^2)/a^12 - (10*z^2)/a^10 - z^2/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (6*z^4)/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 18850] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18851] -> -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + 2*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18852] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - (8*z^2)/a^6 + (16*z^2)/a^4 - 
   (7*z^2)/a^2 - 7*z^4 - (12*z^4)/a^6 + (25*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 - 
   (6*z^6)/a^6 + (19*z^6)/a^4 + (11*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18853] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 18854] -> 
  2 + a^(-4) - 2/a^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (11*z^4)/a^4 - z^4/a^2 - 
   z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 18855] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^4 - z^2/a^2 - z^4 - 
   z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 18856] -> 
  5 - 2/a^2 - 2*a^2 + 36*z^2 - (17*z^2)/a^2 - 17*a^2*z^2 + 81*z^4 - 
   (32*z^4)/a^2 - 32*a^2*z^4 + 80*z^6 - (24*z^6)/a^2 - 24*a^2*z^6 + 40*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 18857] -> 6 - 2/a^2 - 4*a^2 + a^4 + 21*z^2 - 
   (11*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 29*z^4 - (13*z^4)/a^2 + 6*a^2*z^4 - 
   8*a^4*z^4 + 20*z^6 - (6*z^6)/a^2 + 12*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18858] -> 3 - a^(-2) - a^2 + 13*z^2 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 - (11*z^4)/a^4 + (16*z^4)/a^2 - 
   12*a^2*z^4 + 18*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18859] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 14*z^4 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18860] -> -a^(-4) + 2/a^2 + 8*z^2 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 - 8*a^2*z^2 + 20*z^4 - (12*z^4)/a^4 + (20*z^4)/a^2 - 
   12*a^2*z^4 + 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18861] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 7*z^2 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 14*z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18862] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 18863] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 7*z^4 - 
   z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 18864] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 - z^2 - (7*z^2)/a^6 + (16*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 18865] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 5*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 10*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18866] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + 2*a^2*z^2 - 9*z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18867] -> a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^10 - (4*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, Alternating, 18868] -> a^(-6) - a^(-4) + a^2 - z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 18869] -> 
  5 + a^(-6) + 2/a^4 - 7/a^2 + 11*z^2 + (7*z^2)/a^6 - (4*z^2)/a^4 - 
   (19*z^2)/a^2 + 12*z^4 + (11*z^4)/a^6 - (17*z^4)/a^4 - (24*z^4)/a^2 + 
   6*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 - (18*z^6)/a^2 + z^8 + z^8/a^6 - 
   (7*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 18870] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - z^2 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18871] -> -5 + a^(-6) + a^(-2) + 4*a^2 - 10*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18872] -> -1 + a^(-6) - a^2 + 2*a^4 - 4*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 18873] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^4 - a^2*z^2 - a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 18874] -> 1 - z^2/a^6 + z^2/a^2 + a^2*z^2 - a^6*z^2 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, Alternating, 18875] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   9*z^2 + (9*z^2)/a^6 - (10*z^2)/a^4 - (10*z^2)/a^2 + 12*z^4 + 
   (12*z^4)/a^6 - (21*z^4)/a^4 - (21*z^4)/a^2 + 6*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 - (18*z^6)/a^2 + z^8 + z^8/a^6 - (7*z^8)/a^4 - (7*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[14, Alternating, 18876] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + (5*z^2)/a^6 - (3*z^2)/a^4 - (11*z^2)/a^2 + 
   2*a^2*z^2 - z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18877] -> 
  1 + a^(-6) - 2/a^2 + a^2 + z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18878] -> 
  a^(-10) + 2/a^8 - 8/a^6 + 5/a^4 + a^(-2) + (4*z^2)/a^10 + (2*z^2)/a^8 - 
   (19*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (3*z^4)/a^8 - 
   (21*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 18879] -> a^(-10) + a^(-8) - 4/a^6 + 3/a^2 + z^2 + 
   (2*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   z^4/a^10 - z^4/a^8 - (8*z^4)/a^6 - (7*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 18880] -> 
  a^(-6) - a^(-4) + a^2 - z^2 + (4*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 + 
   4*a^2*z^2 - 4*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - (16*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18881] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 6*z^4 + z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 18882] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - 15*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18883] -> a^(-10) + 2/a^8 - 7/a^6 + 3/a^4 + 2/a^2 + 
   (4*z^2)/a^10 + (2*z^2)/a^8 - (18*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (21*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 18884] -> 
  1 + a^(-10) + a^(-8) - 4/a^6 + a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 + 
   z^2/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^10 - z^4/a^8 - 
   (8*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 18885] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 4*z^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18886] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 + z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - 6*z^4 + z^4/a^4 - 6*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 18887] -> 
  a^(-10) + 2/a^8 - 6/a^6 + a^(-4) + 3/a^2 + (6*z^2)/a^10 - (18*z^2)/a^6 + 
   (7*z^2)/a^2 + (5*z^4)/a^10 - (6*z^4)/a^8 - (23*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^10 - (5*z^6)/a^8 - (12*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 18888] -> 
  1 + a^(-10) + a^(-8) - 3/a^6 - a^(-4) + 2/a^2 + 2*z^2 + (3*z^2)/a^10 + 
   z^2/a^8 - (9*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - 
   (2*z^4)/a^8 - (10*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 18889] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 7*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (12*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18890] -> 
  a^(-6) - a^(-2) + a^4 - 3*z^2 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   a^4*z^2 - 5*z^4 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 18891] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 + z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^4 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 18892] -> 
  2 - a^(-2) + a^2 - a^4 - z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 18893] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (9*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 + (12*z^4)/a^8 - (25*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 
   (6*z^6)/a^8 - (19*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18894] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   (5*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + 
   (4*z^4)/a^8 - (7*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18895] -> a^2 + a^4 - a^6 - 6*z^2 + 7*a^2*z^2 + 
   7*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + 15*a^2*z^4 + 15*a^4*z^4 - 9*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18896] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - (3*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18897] -> 2*a^2 - a^4 - 5*z^2 + 8*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 - 9*z^4 + 15*a^2*z^4 + 10*a^4*z^4 - 8*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18898] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18899] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 - z^2 - (2*z^2)/a^4 + 8*a^2*z^2 - 5*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 18900] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18901] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 7*z^2 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (5*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 18902] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 5*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 18903] -> 1 + a^(-8) - a^(-6) + a^(-4) - 
   2/a^2 + a^2 - 4*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 + z^4/a^8 - (7*z^4)/a^6 + z^4/a^4 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 18904] -> -1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) + 
   2*a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^4*z^2 - 
   2*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, Alternating, 18905] -> 
  -1 + 4*a^2 - 2*a^4 + 7*z^2 - (8*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 
   20*z^4 - (12*z^4)/a^2 + 21*a^2*z^4 - 12*a^4*z^4 + 18*z^6 - (6*z^6)/a^2 + 
   18*a^2*z^6 - 6*a^4*z^6 + 7*z^8 - z^8/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 18906] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 
   10*z^2 - (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 15*z^4 - 
   (3*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18907] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (9*z^4)/a^4 - 
   (16*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18908] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 2*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 + 5*a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18909] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 + z^2/a^6 - (2*z^2)/a^2 + a^4*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 18910] -> 2*a^6 + a^8 - 2*a^10 + a^4*z^2 + 2*a^6*z^2 + 
   11*a^8*z^2 - 6*a^10*z^2 - 3*a^4*z^4 + 3*a^6*z^4 + 18*a^8*z^4 - 
   8*a^10*z^4 - 4*a^4*z^6 + 7*a^6*z^6 + 14*a^8*z^6 - 5*a^10*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 6*a^8*z^8 - a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[14, Alternating, 18911] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 3*a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^2*z^6 + a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18912] -> 
  a^2 + a^4 - a^6 - 4*z^2 + 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + 
   10*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18913] -> 2*a^2 - a^4 + z^2 - z^2/a^4 + 2*a^2*z^2 - 
   a^6*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 
   z^6 + (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 18914] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18915] -> -3/a^8 + 4/a^6 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 18916] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 4*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - 
   6*z^4 + 9*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 4*z^6 + 10*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18917] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   7*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18918] -> a^(-6) - a^(-4) + a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18919] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 18920] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 + (8*z^2)/a^4 - (13*z^2)/a^2 + 5*a^2*z^2 - 
   12*z^4 + (9*z^4)/a^4 - (18*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18921] -> 
  2 + 3/a^4 - 5/a^2 + a^2 - z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - z^4/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18922] -> 
  1 + 5*z^2 - (5*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18923] -> 2 - 2*a^2 + a^4 + 6*z^2 - (3*z^2)/a^4 + 
   z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18924] -> 
  -2 + a^(-4) + 2*a^2 - 9*z^2 + (7*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 
   16*z^4 + (9*z^4)/a^4 - (16*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 18925] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - z^4/a^4 - (11*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 18926] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - (7*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 
   11*z^4 - (9*z^4)/a^4 + (17*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18927] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 4*z^2 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^4*z^4 + 
   7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 18928] -> -5*a^2 + 13*a^4 - 7*a^6 - 
   22*a^2*z^2 + 53*a^4*z^2 - 23*a^6*z^2 - 34*a^2*z^4 + 91*a^4*z^4 - 
   34*a^6*z^4 - 24*a^2*z^6 + 82*a^4*z^6 - 24*a^6*z^6 - 8*a^2*z^8 + 
   40*a^4*z^8 - 8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 18929] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + 
   5*a^2*z^2 + 21*a^4*z^2 - 12*a^6*z^2 - 9*z^4 + 12*a^2*z^4 + 29*a^4*z^4 - 
   13*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18930] -> -2*a^2 + 5*a^4 - 2*a^8 - 7*a^2*z^2 + 
   13*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 - 11*a^2*z^4 + 19*a^4*z^4 + 
   18*a^6*z^4 - 11*a^8*z^4 - 6*a^2*z^6 + 17*a^4*z^6 + 17*a^6*z^6 - 
   6*a^8*z^6 - a^2*z^8 + 7*a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^4*z^10 + 
   a^6*z^10, Knot[14, Alternating, 18931] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 
   2*z^2 + 9*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + a^2*z^4 + 13*a^4*z^4 + 
   5*a^6*z^4 - 4*a^8*z^4 - z^6 + 3*a^2*z^6 + 9*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 18932] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 18933] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 18934] -> 6 - 2/a^2 - 4*a^2 + a^4 + 10*z^2 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 18935] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^4*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18936] -> 5 - 2/a^2 - 2*a^2 + 24*z^2 - (11*z^2)/a^2 - 
   11*a^2*z^2 + 53*z^4 - (21*z^4)/a^2 - 21*a^2*z^4 + 57*z^6 - (18*z^6)/a^2 - 
   18*a^2*z^6 + 32*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18937] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - (7*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 
   11*z^4 - (9*z^4)/a^4 + (17*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 18938] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 13*z^4 - 
   (8*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 
   5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 18939] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 11*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18940] -> a^2 + a^4 - a^6 - 4*z^2 + 7*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 - 8*z^4 + 15*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 - 5*z^6 + 
   14*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18941] -> 
  2*a^2 - a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 18942] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, Alternating, 18943] -> 6 + 5/a^4 - 10/a^2 + 23*z^2 + 
   (23*z^2)/a^4 - (51*z^2)/a^2 + 34*z^4 + (34*z^4)/a^4 - (91*z^4)/a^2 + 
   24*z^6 + (24*z^6)/a^4 - (82*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - 
   (40*z^8)/a^2 + z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 18944] -> 1 + 4/a^4 - 6/a^2 + 2*a^2 - 4*z^2 + 
   (12*z^2)/a^4 - (21*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 + (13*z^4)/a^4 - 
   (29*z^4)/a^2 + 9*a^2*z^4 - 13*z^6 + (6*z^6)/a^4 - (20*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18945] -> 5 + 2/a^6 - 6/a^2 + 11*z^2 + (10*z^2)/a^6 - 
   (11*z^2)/a^4 - (16*z^2)/a^2 + 12*z^4 + (12*z^4)/a^6 - (22*z^4)/a^4 - 
   (23*z^4)/a^2 + 6*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 - (18*z^6)/a^2 + z^8 + 
   z^8/a^6 - (7*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 18946] -> 2/a^6 - a^(-4) - 2/a^2 + 2*a^2 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18947] -> -4 + 3/a^4 - 2/a^2 + 4*a^2 - 20*z^2 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 + 12*a^2*z^2 - 29*z^4 + (9*z^4)/a^4 - 
   (13*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18948] -> -5 + 2/a^6 - 2/a^4 + 2/a^2 + 4*a^2 - 
   10*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 8*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 18949] -> 3/a^4 - 3/a^2 - a^2 + 2*a^4 - 3*z^2 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18950] -> -1 + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 2*a^4 - 
   4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 18951] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 18952] -> 4*a^6 - 3*a^8 - a^2*z^2 + 2*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 - 2*a^2*z^4 + 4*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 - a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 
   a^8*z^6, Knot[14, Alternating, 18953] -> 2*a^2 - a^4 - 3*z^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 9*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 
   4*z^6 + 10*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18954] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 8*z^4 + 
   16*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 7*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18955] -> 2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 3*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 - z^6/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18956] -> 
  -a^(-8) + a^(-6) + a^(-2) + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^8 - (16*z^4)/a^4 + (8*z^4)/a^2 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 18957] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - z^2/a^4 + z^2/a^2 + 2*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 18958] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   6*a^2*z^4 - 10*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18959] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + (5*z^4)/a^8 - (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 18960] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + 
   (4*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 17*z^4 + (8*z^4)/a^4 - (11*z^4)/a^2 + 
   9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 18961] -> -1 + a^(-4) + a^4 - 6*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 18962] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 + (7*z^4)/a^8 - (8*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^8 - (12*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 18963] -> 1 + z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 18964] -> 
  1 + a^(-6) - 2/a^2 + a^2 + z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 + (3*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 18965] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^2*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, Alternating, 18966] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + 
   (3*z^2)/a^10 + (4*z^2)/a^8 - (17*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (2*z^4)/a^8 - (20*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, Alternating, 18967] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + z^2 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - z^4/a^8 - 
   (8*z^4)/a^6 - (7*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 18968] -> 2*a^2 - a^4 - 2*z^2 + a^2*z^2 + 4*a^4*z^2 - 
   2*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 10*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 18969] -> 1 - z^2 - z^2/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 18970] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 4*a^6*z^2 + 
   a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - 
   2*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18971] -> 
  2*a^4 - a^6 + a^8 - a^10 + 4*a^4*z^2 + a^8*z^2 - z^4 - a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, Alternating, 18972] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 3*a^2*z^2 - a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 
   8*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 18973] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 - z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 
   a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 18974] -> a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 
   4*a^6*z^2 - a^10*z^2 - a^2*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 - 
   a^2*z^6 + a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, Alternating, 18975] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 18976] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 3*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 - a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 18977] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   z^4/a^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, Alternating, 18978] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - (3*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - (4*z^4)/a^2 + 19*a^2*z^4 + 2*a^4*z^4 - 
   4*a^6*z^4 + 4*z^6 - z^6/a^2 + 11*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 18979] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 - z^2/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - z^4/a^4 + 8*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 18980] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   2*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   5*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - z^6 + 2*a^2*z^6 + 7*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 18981] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + a^2*z^4 + 
   3*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 18982] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + (2*z^2)/a^4 + 
   3*a^2*z^2 + a^4*z^2 - 13*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^4*z^4 - 9*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 18983] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 17*z^2 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 + 19*z^4 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 18984] -> 3 - a^(-4) - a^4 + 7*z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 18985] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 18986] -> 15 - 7/a^2 - 7*a^2 + 55*z^2 - (24*z^2)/a^2 - 
   24*a^2*z^2 + 92*z^4 - (34*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 - (24*z^6)/a^2 - 
   24*a^2*z^6 + 40*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 18987] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 26*z^2 - (5*z^2)/a^4 - (2*z^2)/a^2 - 
   13*a^2*z^2 + 31*z^4 - (8*z^4)/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 18988] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 - (3*z^2)/a^4 - 3*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 18989] -> -2*a^2 + 7*a^4 - 4*a^6 - 19*a^2*z^2 + 
   44*a^4*z^2 - 20*a^6*z^2 - 33*a^2*z^4 + 86*a^4*z^4 - 33*a^6*z^4 - 
   24*a^2*z^6 + 81*a^4*z^6 - 24*a^6*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 
   8*a^6*z^8 - a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 18990] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 4*z^2 - 
   4*a^2*z^2 + 24*a^4*z^2 - 12*a^6*z^2 - 8*z^4 + 7*a^2*z^4 + 30*a^4*z^4 - 
   13*a^6*z^4 - 5*z^6 + 12*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 18991] -> 1 + 3*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 - (5*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 18992] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + a^4*z^2 - 2*z^4 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 - 3*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18993] -> 
  -1 + 4*a^2 - 2*a^4 + 3*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 16*z^4 - 35*a^2*z^4 + 
   16*a^4*z^4 + 17*z^6 - 50*a^2*z^6 + 17*a^4*z^6 + 7*z^8 - 31*a^2*z^8 + 
   7*a^4*z^8 + z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 18994] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 4*a^2*z^2 + 
   2*a^6*z^2 + 7*z^4 - 10*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 + 5*z^6 - 
   12*a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[14, Alternating, 18995] -> 
  -2 + 5*a^2 - a^4 - a^6 - 11*z^2 + 17*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 - 
   13*z^4 + 25*a^2*z^4 + 19*a^4*z^4 - 12*a^6*z^4 - 6*z^6 + 19*a^2*z^6 + 
   18*a^4*z^6 - 6*a^6*z^6 - z^8 + 7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 18996] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 + 3*a^4*z^2 - 
   5*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 15*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 18997] -> 4 - 2/a^2 - a^4 + z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 18998] -> -1 + a^(-2) + a^2 - z^2 - 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 18999] -> -3*a^2 + 9*a^4 - 5*a^6 - 
   17*a^2*z^2 + 41*a^4*z^2 - 18*a^6*z^2 - 26*a^2*z^4 + 70*a^4*z^4 - 
   26*a^6*z^4 - 19*a^2*z^6 + 64*a^4*z^6 - 19*a^6*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 19000] -> 3 + 2/a^4 - 4/a^2 + 11*z^2 + (11*z^2)/a^4 - 
   (24*z^2)/a^2 + 21*z^4 + (21*z^4)/a^4 - (53*z^4)/a^2 + 18*z^6 + 
   (18*z^6)/a^4 - (57*z^6)/a^2 + 7*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19001] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 + (8*z^4)/a^4 - (13*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19002] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 9*z^2 + 14*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 - 
   10*z^4 + 20*a^2*z^4 + 15*a^4*z^4 - 9*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 
   14*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 19003] -> 
  4 + 3/a^4 - 6/a^2 + 20*z^2 + (20*z^2)/a^4 - (43*z^2)/a^2 + 33*z^4 + 
   (33*z^4)/a^4 - (86*z^4)/a^2 + 24*z^6 + (24*z^6)/a^4 - (81*z^6)/a^2 + 
   8*z^8 + (8*z^8)/a^4 - (40*z^8)/a^2 + z^10 + z^10/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 19004] -> 5 + 4/a^4 - 8/a^2 + 13*z^2 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (25*z^2)/a^2 + 13*z^4 + (8*z^4)/a^6 - 
   (8*z^4)/a^4 - (31*z^4)/a^2 + 6*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (20*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 19005] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   11*z^2 + (9*z^2)/a^4 - (11*z^2)/a^2 + 9*a^2*z^2 - 21*z^4 + (12*z^4)/a^4 - 
   (21*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 + (6*z^6)/a^4 - (18*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19006] -> 3/a^4 - 4/a^2 + 2*a^2 - 4*z^2 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^6 - z^4/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19007] -> 3/a^8 - 5/a^6 + 3/a^2 + (10*z^2)/a^8 - 
   (14*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + (12*z^4)/a^8 - (22*z^4)/a^6 - 
   (21*z^4)/a^4 + (12*z^4)/a^2 + (6*z^6)/a^8 - (18*z^6)/a^6 - (18*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (7*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 19008] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   17*z^2 + (8*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 25*z^4 + (12*z^4)/a^4 - 
   (19*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 + (6*z^6)/a^4 - (18*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19009] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 7*z^2 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 + 6*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^6 - z^4/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19010] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 11*z^2 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 16*z^4 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19011] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 7*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 19012] -> 4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (27*z^2)/a^14 + (17*z^2)/a^12 + (20*z^2)/a^10 + z^4/a^16 - 
   (19*z^4)/a^14 + (25*z^4)/a^12 + (35*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^6)/a^14 + (15*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[14, Alternating, 19013] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (10*z^2)/a^14 - 
   (3*z^2)/a^12 + (21*z^2)/a^10 + (4*z^2)/a^8 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (23*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, Alternating, 19014] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) - (4*z^2)/a^14 - 
   (5*z^2)/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 + (3*z^4)/a^12 + 
   (10*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4, 
 Knot[14, Alternating, 19015] -> -4/a^6 + 7/a^4 - 2/a^2 - z^2 - (7*z^2)/a^6 + 
   (17*z^2)/a^4 - (4*z^2)/a^2 - 5*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + 
   (2*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + (8*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 19016] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (6*z^4)/a^4 - z^4/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19017] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (5*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19018] -> 
  -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + (5*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19019] -> 13 - 6/a^2 - 6*a^2 + 44*z^2 - (19*z^2)/a^2 - 
   19*a^2*z^2 + 71*z^4 - (26*z^4)/a^2 - 26*a^2*z^4 + 64*z^6 - (19*z^6)/a^2 - 
   19*a^2*z^6 + 33*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 19020] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 12*z^2 - (7*z^2)/a^4 + (8*z^2)/a^2 - 
   8*a^2*z^2 + 17*z^4 - (9*z^4)/a^4 + (16*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - 
   (5*z^6)/a^4 + (14*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 19021] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 - z^2 - 2*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 3*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 8*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, Alternating, 19022] -> 
  3*a^4 - 2*a^6 - z^2/a^2 + 6*a^4*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 19023] -> 
  3*a^4 - 2*a^6 - 4*z^2 + 4*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + 
   12*a^2*z^4 + 13*a^4*z^4 - 8*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 13*a^4*z^6 - 
   5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 19024] -> -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[14, Alternating, 19025] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 19026] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 - (7*z^2)/a^6 + (15*z^2)/a^4 - 
   (2*z^2)/a^2 - 5*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (8*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 19027] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - 
   z^6 - z^6/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 19028] -> 
  11 - 5/a^2 - 5*a^2 + 39*z^2 - (17*z^2)/a^2 - 17*a^2*z^2 + 67*z^4 - 
   (25*z^4)/a^2 - 25*a^2*z^4 + 63*z^6 - (19*z^6)/a^2 - 19*a^2*z^6 + 33*z^8 - 
   (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 19029] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 14*z^2 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 18*z^4 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 19030] -> -a^(-4) + 2/a^2 + 8*z^2 + (8*z^2)/a^4 - 
   (15*z^2)/a^2 + 20*z^4 + (20*z^4)/a^4 - (48*z^4)/a^2 + 18*z^6 + 
   (18*z^6)/a^4 - (56*z^6)/a^2 + 7*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19031] -> 
  1 - 4*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (8*z^4)/a^4 - 
   (12*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19032] -> -2/a^6 + 3/a^4 + (6*z^2)/a^8 - 
   (13*z^2)/a^6 + (10*z^2)/a^4 + (17*z^4)/a^8 - (40*z^4)/a^6 + (18*z^4)/a^4 + 
   (17*z^6)/a^8 - (51*z^6)/a^6 + (17*z^6)/a^4 + (7*z^8)/a^8 - (31*z^8)/a^6 + 
   (7*z^8)/a^4 + z^10/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[14, Alternating, 19033] -> a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - 
   (11*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + (8*z^4)/a^8 - (17*z^4)/a^6 + 
   (4*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19034] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 3*z^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 19035] -> 
  2 + a^(-4) - 2/a^2 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 19036] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 + (7*z^4)/a^8 - 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 19037] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19038] -> 1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 + (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 19039] -> -a^(-4) + 2/a^2 - 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 19040] -> -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19041] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + (2*z^2)/a^10 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 19042] -> 
  -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19043] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19044] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   4*z^4 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19045] -> -a^(-4) + 2/a^2 + z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - 
   z^4/a^2 + z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 19046] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 19047] -> 2*a^4 - a^8 - 6*a^2*z^2 + 9*a^4*z^2 + 
   8*a^6*z^2 - 7*a^8*z^2 - 11*a^2*z^4 + 18*a^4*z^4 + 18*a^6*z^4 - 
   11*a^8*z^4 - 6*a^2*z^6 + 17*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 - a^2*z^8 + 
   7*a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[14, Alternating, 19048] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2 - 4*a^2*z^2 + 
   9*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 13*a^4*z^4 + 5*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 3*a^2*z^6 + 9*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 19049] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 7*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19050] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (7*z^4)/a^10 + (13*z^4)/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^6)/a^10 + (13*z^6)/a^8 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[14, Alternating, 19051] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (2*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, Alternating, 19052] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^10 + (3*z^2)/a^8 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - z^4 - z^4/a^10 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, Alternating, 19053] -> -1 + 3*a^2 - a^6 - 4*z^2 + 3*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 15*a^4*z^4 + 
   3*a^6*z^4 - 4*a^8*z^4 - z^6 + 4*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 19054] -> 
  a^2 + a^4 - a^6 - 2*z^2 - z^2/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 19055] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - a^6*z^2 - 
   z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 19056] -> a^2 + a^4 - a^6 - a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 9*a^2*z^4 + 20*a^4*z^4 - 9*a^6*z^4 - 12*a^2*z^6 + 33*a^4*z^6 - 
   12*a^6*z^6 - 6*a^2*z^8 + 24*a^4*z^8 - 6*a^6*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 19057] -> 
  -1 + 4*a^2 - 2*a^4 + 3*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 12*z^4 - 27*a^2*z^4 + 
   12*a^4*z^4 + 13*z^6 - 38*a^2*z^6 + 13*a^4*z^6 + 6*z^8 - 25*a^2*z^8 + 
   6*a^4*z^8 + z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 19058] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19059] -> 
  1 + 16*z^2 - (8*z^2)/a^2 - 8*a^2*z^2 + 48*z^4 - (20*z^4)/a^2 - 20*a^2*z^4 + 
   56*z^6 - (18*z^6)/a^2 - 18*a^2*z^6 + 32*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 19060] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 - 
   (8*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 
   5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 19061] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 + 
   z^2/a^6 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 19062] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[14, Alternating, 19063] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 19064] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 19065] -> 13 - 6/a^2 - 6*a^2 + 40*z^2 - (17*z^2)/a^2 - 
   17*a^2*z^2 + 67*z^4 - (25*z^4)/a^2 - 25*a^2*z^4 + 63*z^6 - (19*z^6)/a^2 - 
   19*a^2*z^6 + 33*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 19066] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 14*z^2 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   8*a^2*z^2 + 18*z^4 - (8*z^4)/a^4 + (12*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - 
   (5*z^6)/a^4 + (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 19067] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (5*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (6*z^4)/a^8 - (12*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19068] -> 3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 21*z^4 - (9*z^4)/a^2 - 9*a^2*z^4 + 33*z^6 - (12*z^6)/a^2 - 
   12*a^2*z^6 + 24*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 19069] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 9*z^4 + 
   (9*z^4)/a^4 - (21*z^4)/a^2 + 12*z^6 + (12*z^6)/a^4 - (33*z^6)/a^2 + 
   6*z^8 + (6*z^8)/a^4 - (24*z^8)/a^2 + z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 19070] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19071] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 3*z^4 - (5*z^4)/a^4 + (9*z^4)/a^2 - 
   4*a^2*z^4 + 8*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 19072] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19073] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) - (3*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 - 
   z^6 - z^6/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, Alternating, 19074] -> 
  2 - a^(-2) + a^2 - a^4 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + z^4 - 
   (4*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 19075] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 - 
   (5*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 - 4*z^4 - (8*z^4)/a^6 + 
   (17*z^4)/a^4 - z^4/a^2 - 4*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 19076] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 19077] -> 
  -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^4 + a^2*z^2 - 2*a^4*z^2 + 8*z^4 - 
   (2*z^4)/a^4 + 3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19078] -> -1 - a^(-6) + 3/a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19079] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 8*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, Alternating, 19080] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   4*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 
   a^2*z^4 - 11*a^4*z^4 + 11*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^2*z^6 - 
   2*a^4*z^6 + 6*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, Alternating, 19081] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - (4*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 10*z^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 19082] -> 
  -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19083] -> 4 - a^(-4) - 2*a^2 + z^2 - z^2/a^6 + 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 6*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[14, Alternating, 19084] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 12*z^2 + (9*z^2)/a^2 - 11*a^2*z^2 + 9*a^4*z^2 - 
   21*z^4 + (12*z^4)/a^2 - 21*a^2*z^4 + 12*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 - 
   18*a^2*z^6 + 6*a^4*z^6 - 7*z^8 + z^8/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 19085] -> 1 + a^(-4) - 4*a^2 + 3*a^4 - 
   7*z^2 + (2*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 13*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19086] -> 1 - 2/a^4 + 3/a^2 - a^2 + 10*z^2 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 - 9*a^2*z^2 + 21*z^4 - (12*z^4)/a^4 + 
   (21*z^4)/a^2 - 12*a^2*z^4 + 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 19087] -> 5 - a^(-4) - 4*a^2 + a^4 + 11*z^2 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 15*z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19088] -> -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 8*z^4 - (8*z^4)/a^6 + 
   (12*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 19089] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   3*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 19090] -> -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 7*z^2 + 
   (5*z^2)/a^2 - 3*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 6*z^4 + (4*z^4)/a^2 - 
   12*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + z^6/a^2 - 9*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19091] -> a^(-4) - 2*a^4 + 2*a^6 - 3*z^2 + z^2/a^4 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^4 - 6*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 19092] -> -4 - 3/a^4 + 7/a^2 + a^2 - 5*z^2 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (20*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 19093] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 7*z^4 - 
   z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 19094] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19095] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^2 - a^2*z^2 - z^4/a^8 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 19096] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^2 + 
   19*a^2*z^2 - 7*a^4*z^2 - 17*z^4 + (7*z^4)/a^2 + 16*a^2*z^4 - a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 + 3*a^4*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[14, Alternating, 19097] -> 
  -1 + 4*a^2 - 2*a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19098] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 5*z^4 - (8*z^4)/a^6 + (15*z^4)/a^4 + 
   (4*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 19099] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19100] -> 2 - 2*a^2 + a^4 + 11*z^2 - 23*a^2*z^2 + 
   11*a^4*z^2 + 21*z^4 - 53*a^2*z^4 + 21*a^4*z^4 + 18*z^6 - 57*a^2*z^6 + 
   18*a^4*z^6 + 7*z^8 - 32*a^2*z^8 + 7*a^4*z^8 + z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[14, Alternating, 19101] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 + (2*z^2)/a^2 - 14*a^2*z^2 + 7*a^4*z^2 - 3*z^4 + 
   (5*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 - 15*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 19102] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 - a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 19103] -> 
  -1 + 4*a^2 - 2*a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 + a^2*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 19104] -> 2 + a^(-4) - 2/a^2 + 13*z^2 + (13*z^2)/a^4 - 
   (27*z^2)/a^2 + 28*z^4 + (28*z^4)/a^4 - (69*z^4)/a^2 + 23*z^6 + 
   (23*z^6)/a^4 - (74*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - (39*z^8)/a^2 + z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19105] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (8*z^2)/a^4 - (13*z^2)/a^2 + 4*a^2*z^2 - 
   8*z^4 + (12*z^4)/a^4 - (24*z^4)/a^2 + 8*a^2*z^4 - 12*z^6 + (6*z^6)/a^4 - 
   (19*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19106] -> 
  3 + 2/a^4 - 4/a^2 + 10*z^2 + (3*z^2)/a^6 + (4*z^2)/a^4 - (19*z^2)/a^2 + 
   12*z^4 + (7*z^4)/a^6 - (5*z^4)/a^4 - (27*z^4)/a^2 + 6*z^6 + (5*z^6)/a^6 - 
   (11*z^6)/a^4 - (19*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - (7*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[14, Alternating, 19107] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 
   3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 19108] -> 
  7 - 3/a^2 - 3*a^2 + 15*z^2 - (4*z^2)/a^4 - 8*a^2*z^2 + 18*z^4 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 19109] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 - (3*z^2)/a^4 + z^2/a^2 - 2*a^4*z^2 + 
   10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19110] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (5*z^2)/a^8 - (6*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + (6*z^4)/a^8 - 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 19111] -> 
  -2 + a^(-4) + 2*a^2 - 15*z^2 + (5*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   25*z^4 + (8*z^4)/a^4 - (9*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 + (5*z^6)/a^4 - 
   (12*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19112] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   5*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 + z^4/a^4 - (12*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 19113] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 + (7*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (7*z^4)/a^4 - (16*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19114] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + 3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - 
   (7*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 19115] -> 
  -1 + a^(-4) + a^4 - 2*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   4*a^4*z^2 - 4*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + z^6/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 19116] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 19117] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19118] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 19119] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4 - 
   z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 19120] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 + 
   (6*z^4)/a^4 - (14*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19121] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, Alternating, 19122] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (13*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, Alternating, 19123] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 19124] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 19125] -> 
  a^(-10) - 4/a^6 + 3/a^4 + a^(-2) + (4*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (12*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (13*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[14, Alternating, 19126] -> a^(-10) - a^(-8) - 2/a^4 + 
   3/a^2 + z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, Alternating, 19127] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 9*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 19128] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 4*z^2 + z^2/a^4 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 19129] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 11*z^2 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   (5*z^4)/a^6 - (21*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 19130] -> 
  2/a^6 - 2/a^4 + a^4 + (3*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 19131] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19132] -> -a^2 + 5*a^4 - 3*a^6 - 4*a^2*z^2 + 
   13*a^4*z^2 - 5*a^6*z^2 - 2*z^4 - 2*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 
   3*z^6 + 4*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 19133] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   10*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, Alternating, 19134] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 19135] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - (7*z^2)/a^6 + (13*z^2)/a^4 + 
   (3*z^2)/a^2 - 6*z^4 - (7*z^4)/a^6 + (15*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 19136] -> 
  2/a^6 - a^(-4) - 2/a^2 + 2*a^2 - 8*z^2 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 16*z^4 + (5*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + z^6/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 19137] -> a^4 + 2*a^6 - 2*a^8 - 6*a^2*z^2 + 
   9*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 - 11*a^2*z^4 + 18*a^4*z^4 + 18*a^6*z^4 - 
   11*a^8*z^4 - 6*a^2*z^6 + 17*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 - a^2*z^8 + 
   7*a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[14, Alternating, 19138] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 - z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 - 3*z^4 + 12*a^4*z^4 + 
   5*a^6*z^4 - 4*a^8*z^4 - z^6 + 3*a^2*z^6 + 9*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 19139] -> 
  -2 + 2/a^6 - 2/a^4 + a^(-2) + a^2 + a^4 - 7*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 19140] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + 5*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 11*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - z^6 + 
   4*a^2*z^6 + 9*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 19141] -> a^2 + a^6 - a^8 - z^2 - z^2/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + 
   6*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 19142] -> 5 - 2/a^2 - 2*a^2 + 11*z^2 - (6*z^2)/a^2 - 
   3*a^4*z^2 + 13*z^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + 10*z^6 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 19143] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 14*a^2*z^2 + 36*a^4*z^2 - 15*a^6*z^2 - 
   22*a^2*z^4 + 59*a^4*z^4 - 22*a^6*z^4 - 18*a^2*z^6 + 58*a^4*z^6 - 
   18*a^6*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[14, Alternating, 19144] -> 
  -1 + 6*a^4 - 4*a^6 - 3*z^2 + 17*a^4*z^2 - 8*a^6*z^2 - 5*z^4 + 4*a^2*z^4 + 
   21*a^4*z^4 - 9*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 19145] -> a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^8 - 
   (10*z^2)/a^6 + (8*z^2)/a^4 + (6*z^4)/a^8 - (14*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19146] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 2*z^2 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 - 5*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 19147] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (8*z^4)/a^8 - 
   (17*z^4)/a^6 + (4*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 19148] -> 7 - 3/a^2 - 3*a^2 + 27*z^2 - 
   (12*z^2)/a^2 - 12*a^2*z^2 + 54*z^4 - (21*z^4)/a^2 - 21*a^2*z^4 + 57*z^6 - 
   (18*z^6)/a^2 - 18*a^2*z^6 + 32*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 19149] -> 
  2 - a^(-4) + a^(-2) - a^2 + 12*z^2 - (3*z^2)/a^4 - 7*a^2*z^2 + 20*z^4 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + 
   z^10/a^2, Knot[14, Alternating, 19150] -> 2/a^8 - 6/a^6 + 5/a^4 + 
   (9*z^2)/a^8 - (21*z^2)/a^6 + (13*z^2)/a^4 + (18*z^4)/a^8 - (45*z^4)/a^6 + 
   (19*z^4)/a^4 + (17*z^6)/a^8 - (52*z^6)/a^6 + (17*z^6)/a^4 + (7*z^8)/a^8 - 
   (31*z^8)/a^6 + (7*z^8)/a^4 + z^10/a^8 - (9*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[14, Alternating, 19151] -> a^(-8) - 2/a^6 + 2/a^2 + 
   (5*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 + (8*z^4)/a^8 - 
   (16*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 19152] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (8*z^2)/a^2 + (5*z^4)/a^8 - (3*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19153] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19154] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19155] -> 2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^4 - z^4/a^2 + a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 19156] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 19157] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^8 + (4*z^2)/a^4 - (3*z^2)/a^2 - z^4 - 
   z^4/a^8 + (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 19158] -> 
  3 - 4*a^2 + 2*a^4 + 17*z^2 - 36*a^2*z^2 + 17*a^4*z^2 + 32*z^4 - 
   81*a^2*z^4 + 32*a^4*z^4 + 24*z^6 - 80*a^2*z^6 + 24*a^4*z^6 + 8*z^8 - 
   40*a^2*z^8 + 8*a^4*z^8 + z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 19159] -> 4 - 6*a^2 + 3*a^4 + 5*z^2 + (3*z^2)/a^2 - 
   22*a^2*z^2 + 11*a^4*z^2 - 6*z^4 + (8*z^4)/a^2 - 29*a^2*z^4 + 13*a^4*z^4 - 
   12*z^6 + (5*z^6)/a^2 - 20*a^2*z^6 + 6*a^4*z^6 - 6*z^8 + z^8/a^2 - 
   7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 19160] -> 
  2 - 3*a^4 + 2*a^6 + 9*z^2 - 10*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 + 12*z^4 - 
   21*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 + 6*z^6 - 18*a^2*z^6 - 18*a^4*z^6 + 
   6*a^6*z^6 + z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 19161] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 3*z^2 + 
   (2*z^2)/a^2 - 9*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - z^4 + (3*z^4)/a^2 - 
   14*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + z^6/a^2 - 9*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19162] -> 9 - 4/a^2 - 4*a^2 + 44*z^2 - (20*z^2)/a^2 - 
   20*a^2*z^2 + 86*z^4 - (33*z^4)/a^2 - 33*a^2*z^4 + 81*z^6 - (24*z^6)/a^2 - 
   24*a^2*z^6 + 40*z^8 - (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 19163] -> 
  7 - 3/a^2 - 3*a^2 + 23*z^2 - (4*z^2)/a^4 - (4*z^2)/a^2 - 12*a^2*z^2 + 
   30*z^4 - (8*z^4)/a^4 + (7*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 19164] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19165] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 - (4*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 - 7*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 19166] -> 3 + 2/a^4 - 4/a^2 + 19*z^2 + (19*z^2)/a^4 - 
   (40*z^2)/a^2 + 33*z^4 + (33*z^4)/a^4 - (85*z^4)/a^2 + 24*z^6 + 
   (24*z^6)/a^4 - (81*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - (40*z^8)/a^2 + z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19167] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 + (11*z^2)/a^4 - (18*z^2)/a^2 + 6*a^2*z^2 - 
   11*z^4 + (13*z^4)/a^4 - (28*z^4)/a^2 + 9*a^2*z^4 - 13*z^6 + (6*z^6)/a^4 - 
   (20*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19168] -> 
  5 - 2/a^2 - 2*a^2 + 13*z^2 - (5*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + 
   18*z^4 - (8*z^4)/a^4 + (12*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 19169] -> 
  3 - a^(-2) - a^2 + 8*z^2 - (3*z^2)/a^4 - 2*a^2*z^2 - 2*a^4*z^2 + 11*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19170] -> 3 - a^(-2) - a^2 + 3*z^2 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 - 3*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, Alternating, 19171] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 19172] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 7*z^2 + 
   (9*z^2)/a^4 - (13*z^2)/a^2 + 7*a^2*z^2 - 15*z^4 + (10*z^4)/a^4 - 
   (20*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19173] -> 3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^6 + 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, Alternating, 19174] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + (7*z^2)/a^8 - (11*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + (9*z^4)/a^8 - (16*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19175] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 17*z^2 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 28*z^4 + (9*z^4)/a^4 - 
   (12*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19176] -> 4 + 3/a^4 - 6/a^2 + 3*z^2 + (9*z^2)/a^4 - 
   (18*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (10*z^4)/a^4 - (23*z^4)/a^2 + 
   6*a^2*z^4 - 9*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19177] -> 1 + 3/a^8 - 6/a^6 + 3/a^4 + 3*z^2 + 
   (6*z^2)/a^8 - (14*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^8 - (12*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19178] -> 2/a^4 - 2/a^2 + a^4 - 2*z^2 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 19179] -> 
  2 + 3/a^4 - 5/a^2 + a^2 + 2*z^2 + (11*z^2)/a^4 - (21*z^2)/a^2 + 4*a^2*z^2 - 
   7*z^4 + (13*z^4)/a^4 - (29*z^4)/a^2 + 8*a^2*z^4 - 12*z^6 + (6*z^6)/a^4 - 
   (20*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19180] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 14*z^2 + (11*z^2)/a^4 - (13*z^2)/a^2 + 
   11*a^2*z^2 - 24*z^4 + (13*z^4)/a^4 - (24*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19181] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 12*z^2 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^4*z^2 - 17*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   10*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 19182] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 
   (4*z^2)/a^2 - 17*a^2*z^2 + 9*a^4*z^2 - 6*z^4 + (6*z^4)/a^2 - 23*a^2*z^4 + 
   10*a^4*z^4 - 9*z^6 + (4*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 19183] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + z^2 + 
   (2*z^2)/a^2 - 8*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   11*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19184] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19185] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 6*z^2 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 19186] -> -2 + a^(-6) + a^2 + a^4 - 
   5*z^2 + (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 19187] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 6*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, Alternating, 19188] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19189] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 19190] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, Alternating, 19191] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*z^2 + 2*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 19192] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 
   z^2 - z^2/a^2 + 5*a^2*z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4/a^2 + 
   5*a^2*z^4 + 4*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 19193] -> 5 - 2/a^2 - 2*a^2 + 20*z^2 - (11*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 29*z^4 - (13*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   20*z^6 - (6*z^6)/a^2 + 12*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 19194] -> 
  3 - a^(-2) - a^2 + 9*z^2 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   14*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 9*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19195] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 + 
   (6*z^2)/a^2 - 14*a^2*z^2 + 9*a^4*z^2 - 16*z^4 + (11*z^4)/a^2 - 
   22*a^2*z^4 + 12*a^4*z^4 - 17*z^6 + (6*z^6)/a^2 - 18*a^2*z^6 + 6*a^4*z^6 - 
   7*z^8 + z^8/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 19196] -> 2 + a^(-2) - 5*a^2 + 3*a^4 - 5*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 12*z^4 + (3*z^4)/a^4 - 
   6*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[14, Alternating, 19197] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 3*z^2 + (4*z^2)/a^2 - 4*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + (4*z^4)/a^2 - 12*a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 - 4*z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 19198] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 + z^2/a^2 - 5*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[14, Alternating, 19199] -> 
  3 + a^(-6) - 3/a^2 + 10*z^2 + (9*z^2)/a^6 - (9*z^2)/a^4 - (13*z^2)/a^2 + 
   12*z^4 + (12*z^4)/a^6 - (21*z^4)/a^4 - (22*z^4)/a^2 + 6*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 - (18*z^6)/a^2 + z^8 + z^8/a^6 - (7*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[14, Alternating, 19200] -> 
  1 + a^(-6) - 2/a^2 + a^2 + z^2 + (5*z^2)/a^6 - (3*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 2*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 19201] -> 
  1 + 2*z^2 - (2*z^2)/a^4 + 2*a^2*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 19202] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 19203] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 19204] -> 
  1 + 2*z^2 - z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   2*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, Alternating, 19205] -> 
  a^(-10) + a^(-8) - 5/a^6 + 2/a^4 + 2/a^2 + (2*z^2)/a^10 + (4*z^2)/a^8 - 
   (15*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 + (3*z^4)/a^10 - (18*z^4)/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[14, Alternating, 19206] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 + 
   (3*z^2)/a^6 + z^2/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19207] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 5*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (14*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 19208] -> 
  1 + a^(-10) + a^(-8) - 5/a^6 + 3/a^4 + 2*z^2 + (2*z^2)/a^10 - z^2/a^8 - 
   (6*z^2)/a^6 - z^2/a^2 + z^4 + z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, Alternating, 19209] -> a^(-6) - a^(-2) + a^4 - 4*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 19210] -> 
  2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + 2*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (11*z^2)/a^2 + 2*a^2*z^2 - z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 19211] -> 
  -3 + a^(-6) + 3*a^2 - 7*z^2 + (5*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + 
   6*a^2*z^2 - 7*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (14*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + z^6/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 19212] -> 
  -2 + a^(-6) + a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^2 + 2*a^4*z^2 - 
   7*z^4 + z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 19213] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + (6*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 
   7*z^4 + (9*z^4)/a^4 - (18*z^4)/a^2 + 6*a^2*z^4 - 9*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19214] -> 
  a^2 + a^4 - a^6 - 6*z^2 + 11*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 9*z^4 + 
   19*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 - 5*z^6 + 15*a^2*z^6 + 8*a^4*z^6 - 
   4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 19215] -> 1 - a^2 + 2*a^4 - a^6 + 5*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 19216] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - 
   (3*z^2)/a^4 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19217] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 13*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   13*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 19218] -> 
  a^(-6) - a^(-4) + a^2 - 5*z^2 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 12*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 19219] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   7*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   5*z^4 + z^4/a^6 - (4*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 19220] -> 
  -3/a^8 + 4/a^6 - z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + (4*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 19221] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 - (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, Alternating, 19222] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^10 - (3*z^4)/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, Alternating, 19223] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - 
   2*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - 2*a^10*z^4 - a^2*z^6 + 4*a^6*z^6 + 
   2*a^8*z^6 - a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, Alternating, 19224] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + 
   (8*z^2)/a^8 - (15*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 + (9*z^4)/a^8 - 
   (18*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 19225] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (10*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 19226] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 6*z^2 + 3*a^2*z^2 + 18*a^4*z^2 - 10*a^6*z^2 - 
   9*z^4 + 14*a^2*z^4 + 21*a^4*z^4 - 10*a^6*z^4 - 5*z^6 + 14*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 19227] -> 
  -2 + 5*a^2 - a^4 - a^6 - 3*z^2 - (3*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 17*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - z^6/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, Alternating, 19228] -> 2*a^4 - a^8 - 2*z^2 + 7*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 11*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, Alternating, 19229] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - z^2/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 - z^4/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, Alternating, 19230] -> 
  4 - 2/a^2 - a^4 + 10*z^2 - (7*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 16*z^4 - 
   (9*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 19231] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 11*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19232] -> -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 19233] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, Alternating, 19234] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 9*z^2 + 
   (7*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 16*z^4 + (9*z^4)/a^2 - 16*a^2*z^4 + 
   9*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + 
   z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 19235] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 5*z^2 + 
   (4*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   9*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19236] -> 2*a^2 - a^4 - 4*z^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 19*a^2*z^4 - 8*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   15*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 19237] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[14, Alternating, 19238] -> 
  -a^(-4) + 2/a^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^8 - (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 19239] -> 
  1 + 3*z^2 + z^2/a^8 - (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 19240] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^8 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 19241] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 3*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (11*z^2)/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (13*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 19242] -> 
  2*a^2 - a^4 - 2*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 
   3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - z^6 + 3*a^2*z^6 + 
   7*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, Alternating, 19243] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^10 - (7*z^4)/a^6 - (6*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, Alternating, 19244] -> 
  1 + z^2 - z^2/a^2 + a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 19245] -> a^(-8) - 2/a^2 + 2*a^2 - 5*z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 + z^4/a^8 - (7*z^4)/a^6 + a^2*z^4 - 2*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19246] -> -2 + a^(-8) - a^(-4) + a^(-2) + a^2 + a^4 - 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, Alternating, 19247] -> 
  3 + 2/a^4 - 4/a^2 + z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (6*z^4)/a^4 - (12*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19248] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + (7*z^2)/a^8 - (11*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + (9*z^4)/a^8 - (16*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19249] -> -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 + 
   z^2/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (11*z^4)/a^4 + z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 19250] -> 
  6 - 3/a^2 - a^2 - a^4 + 14*z^2 - (8*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   18*z^4 - (9*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 14*z^6 - (5*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 19251] -> 4 - a^(-4) - 2*a^2 + 9*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19252] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19253] -> -1 - 2/a^4 + 4/a^2 + z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 19254] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 11*z^2 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 19255] -> 
  -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 7*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 19256] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (4*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19257] -> a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[14, Alternating, 19258] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 9*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 19259] -> a^(-8) - 2/a^6 + 2/a^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[14, Alternating, 19260] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 - (5*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   13*z^4 - (8*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 19261] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + (5*z^2)/a^8 - (4*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + 
   (8*z^4)/a^8 - (12*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^8 - 
   (13*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19262] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19263] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + 3*z^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19264] -> -2/a^6 + 3/a^4 - 2*z^2 - (2*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^8 + (8*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, Alternating, 19265] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - z^2/a^8 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, Alternating, 19266] -> 7 - 3/a^2 - 3*a^2 + 7*z^2 - 
   (2*z^2)/a^4 - 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[14, Alternating, 19267] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - z^2/a^4 + 2*a^2*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, Alternating, 19268] -> 2*a^2 - a^4 + 4*z^2 - 7*a^2*z^2 + 
   4*a^4*z^2 + 16*z^4 - 36*a^2*z^4 + 16*a^4*z^4 + 17*z^6 - 50*a^2*z^6 + 
   17*a^4*z^6 + 7*z^8 - 31*a^2*z^8 + 7*a^4*z^8 + z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[14, Alternating, 19269] -> 
  1 + 4*z^2 - 8*a^2*z^2 + 4*a^4*z^2 + (4*z^4)/a^2 - 16*a^2*z^4 + 8*a^4*z^4 - 
   7*z^6 + (4*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + z^8/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 19270] -> 
  1 + 3*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - 10*a^2*z^4 - 
   10*a^4*z^4 + 7*a^6*z^4 + 5*z^6 - 12*a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 + 
   z^8 - 6*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 19271] -> 2 - 2*a^2 + a^4 + 3*z^2 - 5*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 8*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, Alternating, 19272] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (5*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + (8*z^4)/a^8 - (13*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[14, Alternating, 19273] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^8 - 
   z^2/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[14, Alternating, 19274] -> 
  11 - 5/a^2 - 5*a^2 + 35*z^2 - (15*z^2)/a^2 - 15*a^2*z^2 + 59*z^4 - 
   (22*z^4)/a^2 - 22*a^2*z^4 + 58*z^6 - (18*z^6)/a^2 - 18*a^2*z^6 + 32*z^8 - 
   (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 19275] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 16*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 21*z^4 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   9*a^2*z^4 + 15*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 19276] -> -a^(-4) + 2/a^2 + z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19277] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 - (3*z^4)/a^2 - 3*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (4*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 19278] -> 
  3 - a^(-4) - a^4 + 8*z^2 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 19279] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + z^6/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[14, Alternating, 19280] -> 
  -2 + a^(-4) + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 19281] -> -1 + a^(-4) + a^4 + z^2/a^6 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, Alternating, 19282] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 
   z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19283] -> -2/a^6 + 3/a^4 - 4*z^2 - (7*z^2)/a^6 + 
   (12*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 - (9*z^4)/a^6 + (17*z^4)/a^4 + 
   (11*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 19284] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 19285] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19286] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 2*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 19287] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 - z^4/a^8 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, Alternating, 19288] -> -1 + a^(-2) + a^2 - 5*z^2 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 12*z^4 + (8*z^4)/a^2 - 12*a^2*z^4 + 8*a^4*z^4 - 
   13*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[14, Alternating, 19289] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19290] -> -1 + a^(-8) - a^(-4) + 2*a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 7*z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19291] -> a^(-8) - a^(-4) + a^4 - 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, Alternating, 19292] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + z^4/a^10 - z^4/a^8 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, Alternating, 19293] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^12 - 
   (4*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^12 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, Alternating, 19294] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^8 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, Alternating, 19295] -> 
  -2/a^6 + 3/a^4 - 2*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 19296] -> 7 - 3/a^2 - 3*a^2 + 14*z^2 - (7*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 16*z^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 12*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 19297] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 2*a^4*z^2 + 
   9*z^4 - (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19298] -> 7 - 3/a^2 - 3*a^2 + 47*z^2 - (22*z^2)/a^2 - 
   22*a^2*z^2 + 102*z^4 - (40*z^4)/a^2 - 40*a^2*z^4 + 98*z^6 - (29*z^6)/a^2 - 
   29*a^2*z^6 + 47*z^8 - (9*z^8)/a^2 - 9*a^2*z^8 + 11*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 19299] -> 
  5 - 2/a^2 - 2*a^2 + 22*z^2 - (6*z^2)/a^4 - z^2/a^2 - 13*a^2*z^2 + 34*z^4 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 - 16*a^2*z^4 + 24*z^6 - (6*z^6)/a^4 + 
   (16*z^6)/a^2 - 7*a^2*z^6 + 8*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 19300] -> 
  3 - a^(-2) - a^2 + 9*z^2 - (6*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 - 
   (11*z^4)/a^4 + (17*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 - (6*z^6)/a^4 + 
   (17*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 19301] -> 
  3 - a^(-2) - a^2 + 11*z^2 - (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   17*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19302] -> 1 + 6*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 13*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19303] -> 
  -1 + a^(-2) + a^2 + 3*z^2 - (2*z^2)/a^4 - 2*a^4*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19304] -> 4 + 3/a^4 - 6/a^2 + 22*z^2 + (22*z^2)/a^4 - 
   (47*z^2)/a^2 + 40*z^4 + (40*z^4)/a^4 - (102*z^4)/a^2 + 29*z^6 + 
   (29*z^6)/a^4 - (98*z^6)/a^2 + 9*z^8 + (9*z^8)/a^4 - (47*z^8)/a^2 + z^10 + 
   z^10/a^4 - (11*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19305] -> 
  2 + 3/a^4 - 5/a^2 + a^2 + (13*z^2)/a^4 - (23*z^2)/a^2 + 6*a^2*z^2 - 
   12*z^4 + (16*z^4)/a^4 - (34*z^4)/a^2 + 11*a^2*z^4 - 16*z^6 + (7*z^6)/a^4 - 
   (24*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (8*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19306] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 10*z^2 + (10*z^2)/a^4 - (14*z^2)/a^2 + 9*a^2*z^2 - 
   21*z^4 + (12*z^4)/a^4 - (22*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 + (6*z^6)/a^4 - 
   (18*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19307] -> 
  4 + a^(-6) + a^(-4) - 5/a^2 + 14*z^2 + (7*z^2)/a^6 - z^2/a^4 - 
   (24*z^2)/a^2 + 16*z^4 + (11*z^4)/a^6 - (13*z^4)/a^4 - (35*z^4)/a^2 + 
   7*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 - (24*z^6)/a^2 + z^8 + z^8/a^6 - 
   (7*z^8)/a^4 - (8*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 19308] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^2 + 4*a^2*z^2 - 4*z^4 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19309] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 4*z^2 + 
   (3*z^2)/a^6 + z^2/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19310] -> 3/a^4 - 4/a^2 + 2*a^2 - 8*z^2 + 
   (7*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 15*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 10*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19311] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - 
   z^4/a^4 - (7*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 19312] -> 4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19313] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 - 2*a^4*z^2 + 5*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[14, Alternating, 19314] -> a^(-4) - a^(-2) + a^2 + z^2 - 
   z^2/a^6 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[14, Alternating, 19315] -> 1 + 3/a^4 - 4/a^2 + a^4 + z^2 + 
   (7*z^2)/a^4 - (13*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19316] -> 1 + a^(-6) + a^(-4) - 3/a^2 + a^4 - 2*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 19317] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (3*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   6*a^2*z^2 + 7*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + (17*z^4)/a^2 - 5*a^2*z^4 + 
   5*z^6 - z^6/a^6 + (4*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 19318] -> 
  1 + 4*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 8*z^4 - z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 
   3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 19319] -> 
  -1 + a^(-2) + a^2 + 3*z^2 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 19320] -> 
  -2 + 3/a^4 - 3/a^2 + 3*a^2 - 16*z^2 + (13*z^2)/a^4 - (16*z^2)/a^2 + 
   13*a^2*z^2 - 29*z^4 + (16*z^4)/a^4 - (29*z^4)/a^2 + 16*a^2*z^4 - 23*z^6 + 
   (7*z^6)/a^4 - (23*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + z^8/a^4 - (8*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19321] -> 
  -1 + 3/a^4 - 3/a^2 + a^2 + a^4 - 12*z^2 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 19*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 
   4*a^4*z^4 - 11*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 19322] -> 
  -2 + a^(-6) + a^(-4) - 2/a^2 + 3*a^2 - 6*z^2 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (14*z^2)/a^2 + 7*a^2*z^2 - 8*z^4 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (20*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 + z^6/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 19323] -> 
  -1 + a^(-6) + a^(-4) - 2/a^2 + a^2 + a^4 - 7*z^2 + (2*z^2)/a^6 + z^2/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 8*z^4 + z^4/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 19324] -> -4 + 3/a^4 - 2/a^2 + 4*a^2 - 26*z^2 + 
   (10*z^2)/a^4 - (7*z^2)/a^2 + 16*a^2*z^2 - 38*z^4 + (12*z^4)/a^4 - 
   (17*z^4)/a^2 + 17*a^2*z^4 - 25*z^6 + (6*z^6)/a^4 - (17*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19325] -> -4 + a^(-6) + a^(-4) - a^(-2) + 4*a^2 - 
   10*z^2 + (3*z^2)/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 + 8*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - z^4/a^4 - (18*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19326] -> 3/a^4 - 3/a^2 - a^2 + 2*a^4 - 3*z^2 + 
   (7*z^2)/a^4 - (10*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - 
   (12*z^4)/a^2 - 12*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   6*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19327] -> a^(-6) + a^(-4) - 2/a^2 - a^2 + 2*a^4 - 
   5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 19328] -> 
  3/a^4 - 3/a^2 + a^6 - 3*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + z^4/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - z^6 - z^6/a^2 - a^2*z^6 - a^4*z^6, 
 Knot[14, Alternating, 19329] -> a^(-6) + a^(-4) - 2/a^2 + a^6 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4, 
 Knot[14, Alternating, 19330] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   9*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^2, Knot[14, Alternating, 19331] -> 1 + a^(-2) - a^2 - 2*a^4 + 
   2*a^6 - 6*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, Alternating, 19332] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 - 5*z^2 + z^2/a^4 + z^2/a^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, Alternating, 19333] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 9*z^2 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 14*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 19334] -> a^(-6) - a^(-2) + a^4 + z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 19335] -> 
  1 + a^(-2) - a^2 - a^4 + a^8 - 4*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 7*z^4 + z^4/a^2 - 7*a^6*z^4 + 
   a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 19336] -> -1 + 2/a^2 - a^4 + a^8 - 4*z^2 + z^2/a^4 - 
   a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, Alternating, 19337] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 19338] -> 
  a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^6 - z^2/a^4 + a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 4*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, Alternating, 19339] -> -1 + a^(-2) + a^2 + 3*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 19340] -> 
  1 - 4*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 8*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 19341] -> 2 - 2*a^2 + a^4 + 5*z^2 - 
   (2*z^2)/a^4 - 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, Alternating, 19342] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^6 - z^2/a^2 - a^2*z^2 - 
   a^6*z^2 + z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, Alternating, 19343] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[14, Alternating, 19344] -> 
  3 - a^(-2) - a^2 + 8*z^2 - (6*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 14*z^4 - 
   (8*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 
   5*a^4*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 19345] -> 1 + 5*z^2 - (2*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19346] -> 
  -1 + a^(-2) + a^2 + 2*z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - a^4*z^2 + 
   8*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19347] -> a^(-4) - a^(-2) + a^2 - z^2/a^6 - a^4*z^2 + 
   3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 19348] -> 
  2 - 2*a^2 + a^4 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^4*z^2 - 6*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, Alternating, 19349] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   4*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, Alternating, 19350] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 - (7*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + 17*z^4 - (9*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - z^8/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[14, Alternating, 19351] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   11*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19352] -> 1 + 3*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19353] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 8*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 
   7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[14, Alternating, 19354] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - 
   z^4/a^6 + (6*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[14, Alternating, 19355] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 3*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 19356] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, Alternating, 19357] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - z^4 - 
   z^4/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 19358] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 10*z^2 + z^2/a^4 + z^2/a^2 + 
   12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   14*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[14, Alternating, 19359] -> 
  -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 + z^2/a^4 + 2*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, Alternating, 19360] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 3*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + 
   4*a^2*z^4 - 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, Alternating, 19361] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, Alternating, 19362] -> 
  1 + 4*z^2 - (2*z^2)/a^4 - 2*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19363] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 4*z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   4*a^6*z^2 + a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + 3*z^6 - a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, Alternating, 19364] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^6 - z^2/a^2 - a^2*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + a^4*z^4, Knot[14, Alternating, 19365] -> 
  4 + 2/a^6 - a^(-4) - 4/a^2 + 14*z^2 + (13*z^2)/a^6 - (14*z^2)/a^4 - 
   (18*z^2)/a^2 + 16*z^4 + (16*z^4)/a^6 - (29*z^4)/a^4 - (30*z^4)/a^2 + 
   7*z^6 + (7*z^6)/a^6 - (23*z^6)/a^4 - (23*z^6)/a^2 + z^8 + z^8/a^6 - 
   (8*z^8)/a^4 - (8*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 19366] -> 2 + 2/a^6 - a^(-4) - 3/a^2 + a^2 + 2*z^2 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 3*z^4 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 - (20*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19367] -> 2/a^6 - a^(-4) - 2/a^2 + 2*a^2 - 2*z^2 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (13*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (18*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19368] -> 2/a^6 - a^(-4) - 2/a^2 + 2*a^2 - 4*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 7*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 19369] -> 
  1 + 2/a^6 - a^(-4) - 2/a^2 + a^4 - 3*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, Alternating, 19370] -> -2 + 2/a^6 - a^(-4) - a^(-2) + 
   3*a^2 - 6*z^2 + (7*z^2)/a^6 - (5*z^2)/a^4 - (11*z^2)/a^2 + 7*a^2*z^2 - 
   8*z^4 + (5*z^4)/a^6 - (8*z^4)/a^4 - (19*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 19371] -> 
  -1 + 2/a^6 - a^(-4) - a^(-2) + a^2 + a^4 - 6*z^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (8*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 8*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 19372] -> -4 + 2/a^6 - a^(-4) + 4*a^2 - 10*z^2 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (17*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19373] -> 2/a^6 - a^(-4) - a^(-2) - a^2 + 2*a^4 - 
   5*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 
   6*z^4 + z^4/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 19374] -> 
  2/a^6 - a^(-4) - a^(-2) + a^6 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4, Knot[14, Alternating, 19375] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - (3*z^2)/a^4 - 3*a^2*z^2 - 2*a^4*z^2 + 
   4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 19376] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[14, Alternating, 19377] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 8*z^4 - (8*z^4)/a^6 + (12*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (13*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 19378] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, Alternating, 19379] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + (2*z^2)/a^4 + z^2/a^2 - 3*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 + z^4/a^2 - z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19380] -> 1 - z^2 - z^2/a^8 + (2*z^2)/a^4 - z^4 - 
   z^4/a^8 + (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[14, Alternating, 19381] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - (6*z^2)/a^6 + (10*z^2)/a^4 - 6*z^4 - 
   (9*z^4)/a^6 + (18*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 19382] -> 
  1 - (2*z^2)/a^8 + (6*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 - z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19383] -> -2*a^2 + 7*a^4 - 4*a^6 - 13*a^2*z^2 + 
   32*a^4*z^2 - 14*a^6*z^2 - 22*a^2*z^4 + 58*a^4*z^4 - 22*a^6*z^4 - 
   18*a^2*z^6 + 58*a^4*z^6 - 18*a^6*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 
   7*a^6*z^8 - a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[14, Alternating, 19384] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 2*z^2 - 
   4*a^2*z^2 + 18*a^4*z^2 - 8*a^6*z^2 - 5*z^4 + 3*a^2*z^4 + 21*a^4*z^4 - 
   9*a^6*z^4 - 4*z^6 + 8*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 19385] -> 
  7 - 3/a^2 - 3*a^2 + 19*z^2 - (8*z^2)/a^2 - 8*a^2*z^2 + 34*z^4 - 
   (13*z^4)/a^2 - 13*a^2*z^4 + 39*z^6 - (13*z^6)/a^2 - 13*a^2*z^6 + 25*z^8 - 
   (6*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 19386] -> -5/a^6 + 9/a^4 - 3/a^2 - (20*z^2)/a^6 + 
   (45*z^2)/a^4 - (19*z^2)/a^2 - (33*z^4)/a^6 + (86*z^4)/a^4 - (33*z^4)/a^2 - 
   (24*z^6)/a^6 + (81*z^6)/a^4 - (24*z^6)/a^2 - (8*z^8)/a^6 + (40*z^8)/a^4 - 
   (8*z^8)/a^2 - z^10/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[14, Alternating, 19387] -> 1 - 5/a^6 + 10/a^4 - 5/a^2 - 3*z^2 - 
   (12*z^2)/a^6 + (26*z^2)/a^4 - (6*z^2)/a^2 - 8*z^4 - (13*z^4)/a^6 + 
   (30*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 - (6*z^6)/a^6 + (20*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 19388] -> 4 + 3/a^4 - 6/a^2 + 20*z^2 + 
   (20*z^2)/a^4 - (43*z^2)/a^2 + 33*z^4 + (33*z^4)/a^4 - (86*z^4)/a^2 + 
   24*z^6 + (24*z^6)/a^4 - (81*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - 
   (40*z^8)/a^2 + z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 19389] -> 2 + 3/a^4 - 5/a^2 + a^2 - 2*z^2 + 
   (11*z^2)/a^4 - (19*z^2)/a^2 + 6*a^2*z^2 - 11*z^4 + (13*z^4)/a^4 - 
   (28*z^4)/a^2 + 9*a^2*z^4 - 13*z^6 + (6*z^6)/a^4 - (20*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19390] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 10*z^2 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 - (12*z^2)/a^2 + 12*z^4 + (12*z^4)/a^6 - 
   (22*z^4)/a^4 - (22*z^4)/a^2 + 6*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 - 
   (18*z^6)/a^2 + z^8 + z^8/a^6 - (7*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[14, Alternating, 19391] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + 
   a^2 + z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19392] -> 3/a^4 - 4/a^2 + 2*a^2 - 9*z^2 + 
   (9*z^2)/a^4 - (13*z^2)/a^2 + 8*a^2*z^2 - 18*z^4 + (10*z^4)/a^4 - 
   (19*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19393] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 3*z^2 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19394] -> 3/a^4 - 4/a^2 + 2*a^2 - 12*z^2 + 
   (8*z^2)/a^4 - (10*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 + (9*z^4)/a^4 - 
   (14*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19395] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 6*z^2 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19396] -> 1 + 3/a^4 - 4/a^2 + a^4 - z^2 + 
   (5*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 4*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19397] -> 2/a^6 - 2/a^4 + a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, Alternating, 19398] -> 
  -2 + 3/a^4 - 3/a^2 + 3*a^2 - 14*z^2 + (11*z^2)/a^4 - (14*z^2)/a^2 + 
   11*a^2*z^2 - 24*z^4 + (13*z^4)/a^4 - (24*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19399] -> 
  -3 + 2/a^6 - 2/a^4 + a^(-2) + 3*a^2 - 7*z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 6*a^2*z^2 - 7*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 19400] -> 
  -1 + 3/a^4 - 3/a^2 + a^2 + a^4 - 10*z^2 + (5*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 16*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 
   4*a^4*z^4 - 10*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[14, Alternating, 19401] -> 
  -2 + 2/a^6 - 2/a^4 + a^(-2) + a^2 + a^4 - 7*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + z^4/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[14, Alternating, 19402] -> 3*a^4 - 2*a^6 - 4*z^2 + 6*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + 15*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 19403] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - z^6 + 
   3*a^2*z^6 + 6*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, Alternating, 19404] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[14, Alternating, 19405] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, Alternating, 19406] -> -2*a^2 + 7*a^4 - 4*a^6 - 3*z^2 + 
   15*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + 8*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 
   4*z^6 + 10*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[14, Alternating, 19407] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + 6*a^2*z^4 + 
   12*a^4*z^4 - 6*a^6*z^4 - 4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[14, Alternating, 19408] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 9*z^2 - 
   (9*z^2)/a^6 + (11*z^2)/a^4 + (12*z^2)/a^2 - 12*z^4 - (12*z^4)/a^6 + 
   (21*z^4)/a^4 + (21*z^4)/a^2 - 6*z^6 - (6*z^6)/a^6 + (18*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - z^8/a^6 + (7*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 19409] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   3*z^2 - (5*z^2)/a^6 + (5*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, Alternating, 19410] -> 5 + 4/a^4 - 8/a^2 + 28*z^2 + (28*z^2)/a^4 - 
   (60*z^2)/a^2 + 45*z^4 + (45*z^4)/a^4 - (118*z^4)/a^2 + 30*z^6 + 
   (30*z^6)/a^4 - (105*z^6)/a^2 + 9*z^8 + (9*z^8)/a^4 - (48*z^8)/a^2 + z^10 + 
   z^10/a^4 - (11*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19411] -> 
  3 + 4/a^4 - 7/a^2 + a^2 - z^2 + (16*z^2)/a^4 - (28*z^2)/a^2 + 8*a^2*z^2 - 
   15*z^4 + (17*z^4)/a^4 - (38*z^4)/a^2 + 12*a^2*z^4 - 17*z^6 + (7*z^6)/a^4 - 
   (25*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (8*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19412] -> 
  1 + 4/a^4 - 6/a^2 + 2*a^2 - 12*z^2 + (12*z^2)/a^4 - (17*z^2)/a^2 + 
   11*a^2*z^2 - 24*z^4 + (13*z^4)/a^4 - (25*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19413] -> 
  1 + 4/a^4 - 6/a^2 + 2*a^2 - 10*z^2 + (8*z^2)/a^4 - (11*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 17*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 3*a^4*z^4 - 
   10*z^6 + z^6/a^4 - (5*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[14, Alternating, 19414] -> 2 + 4/a^4 - 6/a^2 + a^4 + z^2 + 
   (8*z^2)/a^4 - (15*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 4*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19415] -> -1 + 4/a^4 - 5/a^2 + 3*a^2 - 13*z^2 + 
   (16*z^2)/a^4 - (23*z^2)/a^2 + 13*a^2*z^2 - 28*z^4 + (17*z^4)/a^4 - 
   (34*z^4)/a^2 + 16*a^2*z^4 - 23*z^6 + (7*z^6)/a^4 - (24*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^4 - (8*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19416] -> 4/a^4 - 5/a^2 + a^2 + a^4 - 13*z^2 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 20*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 11*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19417] -> -3 + 4/a^4 - 4/a^2 + 4*a^2 - 24*z^2 + 
   (12*z^2)/a^4 - (12*z^2)/a^2 + 16*a^2*z^2 - 37*z^4 + (13*z^4)/a^4 - 
   (21*z^4)/a^2 + 17*a^2*z^4 - 25*z^6 + (6*z^6)/a^4 - (18*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19418] -> 1 + 4/a^4 - 5/a^2 - a^2 + 2*a^4 - 2*z^2 + 
   (8*z^2)/a^4 - (13*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 - 12*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   6*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[14, Alternating, 19419] -> 1 + 4/a^4 - 5/a^2 + a^6 - 3*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - z^6/a^2 - 
   a^2*z^6 - a^4*z^6, Knot[14, Alternating, 19420] -> 
  4 + a^(-8) - 4/a^2 + 10*z^2 + (6*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (14*z^2)/a^2 + 6*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - (10*z^4)/a^4 - 
   (16*z^4)/a^2 + z^6 + z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 - (7*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[14, Alternating, 19421] -> 
  2 + a^(-8) - 3/a^2 + a^2 + (3*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (8*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, Alternating, 19422] -> a^(-8) - 2/a^2 + 2*a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 19423] -> 
  a^(-8) - 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4, 
 Knot[14, Alternating, 19424] -> 1 + a^(-8) - 2/a^2 + a^4 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4, 
 Knot[14, Alternating, 19425] -> -2 + a^(-8) - a^(-2) + 3*a^2 - 4*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 4*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 19426] -> 
  -1 + a^(-8) - a^(-2) + a^2 + a^4 - 4*z^2 + z^2/a^8 - (3*z^2)/a^4 - 
   (5*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4, Knot[14, Alternating, 19427] -> -4 + a^(-8) + 4*a^2 - 6*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 4*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 19428] -> 
  a^(-8) - a^(-2) - a^2 + 2*a^4 - 3*z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4, Knot[14, Alternating, 19429] -> 
  a^(-8) - a^(-2) + a^6 - 3*z^2 - z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2, Knot[14, Alternating, 19430] -> 
  3 - a^(-2) - a^2 + 27*z^2 - (13*z^2)/a^2 - 13*a^2*z^2 + 69*z^4 - 
   (28*z^4)/a^2 - 28*a^2*z^4 + 74*z^6 - (23*z^6)/a^2 - 23*a^2*z^6 + 39*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 19431] -> 1 + 12*z^2 - (4*z^2)/a^4 - 8*a^2*z^2 + 
   24*z^4 - (8*z^4)/a^4 + (8*z^4)/a^2 - 12*a^2*z^4 + 19*z^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 19432] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (6*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (11*z^4)/a^4 + (21*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 19433] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 17*z^2 - (9*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 
   26*z^4 - (12*z^4)/a^2 + 4*a^2*z^4 - 7*a^4*z^4 + 19*z^6 - (6*z^6)/a^2 + 
   11*a^2*z^6 - 5*a^4*z^6 + 7*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[14, Alternating, 19434] -> 2 - 2*a^2 + a^4 + 7*z^2 - 
   (3*z^2)/a^4 - 3*a^2*z^2 - 2*a^4*z^2 + 12*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19435] -> 
  a^(-2) - a^2 + a^4 + 3*z^2 - (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   10*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19436] -> a^(-4) - a^(-2) + a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[14, Alternating, 19437] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   (2*z^2)/a^6 + z^2/a^4 - 2*a^2*z^2 - a^4*z^2 + 4*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, Alternating, 19438] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 - 4*z^6 + (3*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   z^8/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 19439] -> 3 - a^(-2) - a^2 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 3*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19440] -> 
  4 - 6*a^2 + 3*a^4 + 12*z^2 - 27*a^2*z^2 + 12*a^4*z^2 + 21*z^4 - 
   54*a^2*z^4 + 21*a^4*z^4 + 18*z^6 - 57*a^2*z^6 + 18*a^4*z^6 + 7*z^8 - 
   32*a^2*z^8 + 7*a^4*z^8 + z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 19441] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 6*z^2 - 
   8*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 + 8*z^4 - 14*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 + 5*z^6 - 13*a^2*z^6 - 13*a^4*z^6 + 5*a^6*z^6 + z^8 - 
   6*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 19442] -> 5 - 2/a^2 - 2*a^2 + 28*z^2 - (13*z^2)/a^2 - 
   13*a^2*z^2 + 61*z^4 - (24*z^4)/a^2 - 24*a^2*z^4 + 62*z^6 - (19*z^6)/a^2 - 
   19*a^2*z^6 + 33*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 19443] -> 
  3 - a^(-2) - a^2 + 11*z^2 - (4*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 17*z^4 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[14, Alternating, 19444] -> 
  1 + z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 19445] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - 16*a^2*z^2 + 
   7*a^4*z^2 + 13*z^4 - 33*a^2*z^4 + 13*a^4*z^4 + 13*z^6 - 39*a^2*z^6 + 
   13*a^4*z^6 + 6*z^8 - 25*a^2*z^8 + 6*a^4*z^8 + z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[14, Alternating, 19446] -> 
  2*a^2 - a^4 + a^2*z^2 + 8*z^4 - 16*a^2*z^4 + 8*a^4*z^4 + 12*z^6 - 
   32*a^2*z^6 + 12*a^4*z^6 + 6*z^8 - 24*a^2*z^8 + 6*a^4*z^8 + z^10 - 
   8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[14, Alternating, 19447] -> 
  1 - 4*z^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 - 
   8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[14, Alternating, 19448] -> -2/a^6 + 3/a^4 - 3*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 - (6*z^4)/a^6 + 
   (10*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 19449] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 
   z^2 - (6*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 - 5*z^4 - (7*z^4)/a^6 + 
   (15*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 19450] -> 9 - 4/a^2 - 4*a^2 + 28*z^2 - 
   (12*z^2)/a^2 - 12*a^2*z^2 + 54*z^4 - (21*z^4)/a^2 - 21*a^2*z^4 + 57*z^6 - 
   (18*z^6)/a^2 - 18*a^2*z^6 + 32*z^8 - (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 19451] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 4*z^2 - a^2*z^2 + 21*a^4*z^2 - 10*a^6*z^2 - 
   8*z^4 + 10*a^2*z^4 + 22*a^4*z^4 - 10*a^6*z^4 - 5*z^6 + 13*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[14, Alternating, 19452] -> 
  7 - 3/a^2 - 3*a^2 + 39*z^2 - (18*z^2)/a^2 - 18*a^2*z^2 + 82*z^4 - 
   (32*z^4)/a^2 - 32*a^2*z^4 + 80*z^6 - (24*z^6)/a^2 - 24*a^2*z^6 + 40*z^8 - 
   (8*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 19453] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 - (11*z^4)/a^4 + (16*z^4)/a^2 - 
   12*a^2*z^4 + 18*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 19454] -> 3 + 2/a^4 - 4/a^2 + 13*z^2 + (13*z^2)/a^4 - 
   (28*z^2)/a^2 + 24*z^4 + (24*z^4)/a^4 - (61*z^4)/a^2 + 19*z^6 + 
   (19*z^6)/a^4 - (62*z^6)/a^2 + 7*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 + z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19455] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 + (7*z^2)/a^4 - (12*z^2)/a^2 + 4*a^2*z^2 - 
   11*z^4 + (9*z^4)/a^4 - (17*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19456] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 11*z^2 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 19*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19457] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 14*z^2 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   9*a^2*z^2 - 20*z^4 + (9*z^4)/a^4 - (15*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19458] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 - 7*z^4 - 
   (8*z^4)/a^6 + (14*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 - (5*z^6)/a^6 + 
   (13*z^6)/a^4 + (12*z^6)/a^2 - z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[14, Alternating, 19459] -> 
  4*a^4 - 4*a^6 + a^8 + 10*a^4*z^2 - 14*a^6*z^2 + 6*a^8*z^2 + 18*a^4*z^4 - 
   40*a^6*z^4 + 17*a^8*z^4 + 17*a^4*z^6 - 51*a^6*z^6 + 17*a^8*z^6 + 
   7*a^4*z^8 - 31*a^6*z^8 + 7*a^8*z^8 + a^4*z^10 - 9*a^6*z^10 + a^8*z^10 - 
   a^6*z^12, Knot[14, Alternating, 19460] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 
   7*z^2 + (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 13*z^4 + (8*z^4)/a^2 - 
   13*a^2*z^4 + 8*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 
   6*z^8 + z^8/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 19461] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 5*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   7*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19462] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 4*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19463] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 7*z^2 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 16*z^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 
   5*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[14, Alternating, 19464] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 4*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19465] -> -1 + 4*a^2 - 2*a^4 - z^2 + 4*a^2*z^2 - 
   a^4*z^2 + 8*z^4 - 15*a^2*z^4 + 8*a^4*z^4 + 12*z^6 - 32*a^2*z^6 + 
   12*a^4*z^6 + 6*z^8 - 24*a^2*z^8 + 6*a^4*z^8 + z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[14, Alternating, 19466] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 - 2*a^4*z^2 - 
   5*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, Alternating, 19467] -> 
  -a^(-4) + 2/a^2 - z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - 
   z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[14, Alternating, 19468] -> 1 - z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[14, Alternating, 19469] -> 2 + a^(-4) - 2/a^2 - z^2 - z^2/a^4 + 
   z^2/a^2 - 5*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (9*z^6)/a^2 - z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[14, Alternating, 19470] -> 
  5 - 2/a^2 - 2*a^2 - 4*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 - 2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + 10*z^8 - 
   (4*z^8)/a^2 - 4*a^2*z^8 + 6*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 19471] -> 3/a^6 - 7/a^4 + 5/a^2 + (6*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (11*z^6)/a^6 + (26*z^6)/a^4 - (11*z^6)/a^2 - (6*z^8)/a^6 + (23*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[14, Alternating, 19472] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^2 + 
   5*a^2*z^2 + 3*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 26*z^6 - (11*z^6)/a^2 - 
   11*a^2*z^6 + 23*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 19473] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 + 14*z^6 - 
   (7*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 - (5*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 19474] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + 11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   6*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 + 4*z^6 - 5*a^2*z^6 - 12*a^4*z^6 + 
   5*a^6*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[14, Alternating, 19475] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 
   3*a^4*z^2 + z^4 + a^2*z^4 + a^4*z^4 + 7*z^6 - 15*a^2*z^6 + 7*a^4*z^6 + 
   5*z^8 - 17*a^2*z^8 + 5*a^4*z^8 + z^10 - 7*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[14, Alternating, 19476] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 + (7*z^2)/a^2 + 
   7*a^2*z^2 - z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 25*z^6 - (11*z^6)/a^2 - 
   11*a^2*z^6 + 23*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - z^10/a^2 - 
   a^2*z^10 + z^12, Knot[14, Alternating, 19477] -> 
  -4 + 3/a^2 + a^2 + a^4 - 7*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 7*a^2*z^6 - 
   4*a^4*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 19478] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 + 
   z^2/a^2 + a^2*z^2 - (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19479] -> 6/a^8 - 14/a^6 + 9/a^4 + (29*z^2)/a^8 - 
   (65*z^2)/a^6 + (33*z^2)/a^4 + (45*z^4)/a^8 - (119*z^4)/a^6 + 
   (46*z^4)/a^4 + (30*z^6)/a^8 - (105*z^6)/a^6 + (30*z^6)/a^4 + (9*z^8)/a^8 - 
   (48*z^8)/a^6 + (9*z^8)/a^4 + z^10/a^8 - (11*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[14, Alternating, 19480] -> 4 + 3/a^4 - 6/a^2 + 18*z^2 + 
   (18*z^2)/a^4 - (39*z^2)/a^2 + 32*z^4 + (32*z^4)/a^4 - (82*z^4)/a^2 + 
   24*z^6 + (24*z^6)/a^4 - (80*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - 
   (40*z^8)/a^2 + z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 19481] -> 1 - z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (7*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + 7*z^6 - 
   (5*z^6)/a^4 + (13*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[14, Alternating, 19482] -> 
  -a^(-4) + 2/a^2 - (10*z^2)/a^6 + (20*z^2)/a^4 - (9*z^2)/a^2 - 
   (27*z^4)/a^6 + (64*z^4)/a^4 - (27*z^4)/a^2 - (23*z^6)/a^6 + (73*z^6)/a^4 - 
   (23*z^6)/a^2 - (8*z^8)/a^6 + (39*z^8)/a^4 - (8*z^8)/a^2 - z^10/a^6 + 
   (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[14, Alternating, 19483] -> 
  a^(-6) - 3/a^4 + 3/a^2 - (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - (10*z^4)/a^8 + (14*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 + (16*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^8 + 
   (7*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[14, Alternating, 19484] -> a^(-10) + 4/a^8 - 13/a^6 + 9/a^4 + 
   (10*z^2)/a^10 - z^2/a^8 - (37*z^2)/a^6 + (24*z^2)/a^4 + (15*z^4)/a^10 - 
   (19*z^4)/a^8 - (47*z^4)/a^6 + (22*z^4)/a^4 + (7*z^6)/a^10 - (21*z^6)/a^8 - 
   (30*z^6)/a^6 + (8*z^6)/a^4 + z^8/a^10 - (8*z^8)/a^8 - (9*z^8)/a^6 + 
   z^8/a^4 - z^10/a^8 - z^10/a^6, Knot[14, Alternating, 19485] -> 
  4 + a^(-6) + a^(-4) - 5/a^2 + 10*z^2 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   (16*z^2)/a^2 + 12*z^4 + (11*z^4)/a^6 - (17*z^4)/a^4 - (23*z^4)/a^2 + 
   6*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 - (18*z^6)/a^2 + z^8 + z^8/a^6 - 
   (7*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 19486] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19487] -> 1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   z^4/a^2 - a^2*z^4 + 15*z^6 - (7*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 - 
   (5*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 19488] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^6 + z^2/a^4 - 
   (9*z^4)/a^6 + (19*z^4)/a^4 - (9*z^4)/a^2 - (12*z^6)/a^6 + (33*z^6)/a^4 - 
   (12*z^6)/a^2 - (6*z^8)/a^6 + (24*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[14, Alternating, 19489] -> 
  1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 9*z^4 + (9*z^4)/a^4 - 
   (20*z^4)/a^2 + 12*z^6 + (12*z^6)/a^4 - (33*z^6)/a^2 + 6*z^8 + 
   (6*z^8)/a^4 - (24*z^8)/a^2 + z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 19490] -> 1 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + z^4/a^4 + 7*z^6 + (7*z^6)/a^4 - (15*z^6)/a^2 + 5*z^8 + (5*z^8)/a^4 - 
   (17*z^8)/a^2 + z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[14, Alternating, 19491] -> 5 + 4/a^4 - 8/a^2 + 24*z^2 + (24*z^2)/a^4 - 
   (52*z^2)/a^2 + 37*z^4 + (37*z^4)/a^4 - (98*z^4)/a^2 + 25*z^6 + 
   (25*z^6)/a^4 - (87*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - (41*z^8)/a^2 + z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19492] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 11*z^2 + (11*z^2)/a^4 - (15*z^2)/a^2 + 10*a^2*z^2 - 
   23*z^4 + (13*z^4)/a^4 - (24*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 + (6*z^6)/a^4 - 
   (19*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[14, Alternating, 19493] -> 
  5 + a^(-6) + 2/a^4 - 7/a^2 + 13*z^2 + (9*z^2)/a^6 - (6*z^2)/a^4 - 
   (21*z^2)/a^2 + 13*z^4 + (12*z^4)/a^6 - (20*z^4)/a^4 - (27*z^4)/a^2 + 
   6*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 - (19*z^6)/a^2 + z^8 + z^8/a^6 - 
   (7*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 19494] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 3*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19495] -> 2 + 3/a^4 - 5/a^2 + a^2 - 5*z^2 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + (6*z^4)/a^4 - 
   (10*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19496] -> -1 + a^(-2) + a^2 - 11*z^2 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + (5*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   15*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19497] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 19498] -> 
  -1 + a^(-2) + a^2 + 11*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 + 44*z^4 - 
   (19*z^4)/a^2 - 19*a^2*z^4 + 55*z^6 - (18*z^6)/a^2 - 18*a^2*z^6 + 32*z^8 - 
   (7*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - z^10/a^2 - a^2*z^10 + z^12, 
 Knot[14, Alternating, 19499] -> a^(-4) - a^(-2) + a^2 + 5*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 13*z^4 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   8*a^2*z^4 + 13*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[14, Alternating, 19500] -> 3/a^8 - 8/a^6 + 6/a^4 + (13*z^2)/a^8 - 
   (30*z^2)/a^6 + (17*z^2)/a^4 + (22*z^4)/a^8 - (57*z^4)/a^6 + (23*z^4)/a^4 + 
   (18*z^6)/a^8 - (58*z^6)/a^6 + (18*z^6)/a^4 + (7*z^8)/a^8 - (32*z^8)/a^6 + 
   (7*z^8)/a^4 + z^10/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[14, Alternating, 19501] -> 1 + 6*z^2 + (6*z^2)/a^4 - (12*z^2)/a^2 + 
   13*z^4 + (13*z^4)/a^4 - (32*z^4)/a^2 + 13*z^6 + (13*z^6)/a^4 - 
   (39*z^6)/a^2 + 6*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 + z^10 + z^10/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19502] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + 8*a^2*z^2 - 4*a^4*z^2 - (4*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + 7*z^6 - (4*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - z^8/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[14, Alternating, 19503] -> a^(-4) - a^(-2) + a^2 + z^2 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19504] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 - 2*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[14, Alternating, 19505] -> 6 + 5/a^4 - 10/a^2 + 29*z^2 + (29*z^2)/a^4 - 
   (63*z^2)/a^2 + 45*z^4 + (45*z^4)/a^4 - (119*z^4)/a^2 + 30*z^6 + 
   (30*z^6)/a^4 - (105*z^6)/a^2 + 9*z^8 + (9*z^8)/a^4 - (48*z^8)/a^2 + z^10 + 
   z^10/a^4 - (11*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19506] -> 
  1 + 4/a^4 - 6/a^2 + 2*a^2 - 4*z^2 + (16*z^2)/a^4 - (27*z^2)/a^2 + 
   9*a^2*z^2 - 16*z^4 + (17*z^4)/a^4 - (38*z^4)/a^2 + 12*a^2*z^4 - 17*z^6 + 
   (7*z^6)/a^4 - (25*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (8*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19507] -> 
  6 + a^(-6) + 3/a^4 - 9/a^2 + 17*z^2 + (9*z^2)/a^6 - (2*z^2)/a^4 - 
   (30*z^2)/a^2 + 17*z^4 + (12*z^4)/a^6 - (16*z^4)/a^4 - (39*z^4)/a^2 + 
   7*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 - (25*z^6)/a^2 + z^8 + z^8/a^6 - 
   (7*z^8)/a^4 - (8*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 19508] -> 1 + a^(-6) + 2/a^4 - 5/a^2 + 2*a^2 - z^2 + 
   (5*z^2)/a^6 - (16*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (19*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19509] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[14, Alternating, 19510] -> 
  6 + 2/a^6 + a^(-4) - 8/a^2 + 17*z^2 + (13*z^2)/a^6 - (11*z^2)/a^4 - 
   (26*z^2)/a^2 + 17*z^4 + (16*z^4)/a^6 - (28*z^4)/a^4 - (35*z^4)/a^2 + 
   7*z^6 + (7*z^6)/a^6 - (23*z^6)/a^4 - (24*z^6)/a^2 + z^8 + z^8/a^6 - 
   (8*z^8)/a^4 - (8*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[14, Alternating, 19511] -> 1 + 2/a^6 - 4/a^2 + 2*a^2 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (16*z^2)/a^2 + 5*a^2*z^2 - 4*z^4 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 - (21*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19512] -> 6 + 5/a^4 - 10/a^2 + 25*z^2 + (25*z^2)/a^4 - 
   (55*z^2)/a^2 + 37*z^4 + (37*z^4)/a^4 - (99*z^4)/a^2 + 25*z^6 + 
   (25*z^6)/a^4 - (87*z^6)/a^2 + 8*z^8 + (8*z^8)/a^4 - (41*z^8)/a^2 + z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[14, Alternating, 19513] -> 
  5 + 2/a^6 - 6/a^2 + 13*z^2 + (10*z^2)/a^6 - (9*z^2)/a^4 - (20*z^2)/a^2 + 
   13*z^4 + (12*z^4)/a^6 - (21*z^4)/a^4 - (27*z^4)/a^2 + 6*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 - (19*z^6)/a^2 + z^8 + z^8/a^6 - (7*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[14, Alternating, 19514] -> 
  1 + 4/a^4 - 6/a^2 + 2*a^2 - 8*z^2 + (12*z^2)/a^4 - (19*z^2)/a^2 + 
   9*a^2*z^2 - 20*z^4 + (13*z^4)/a^4 - (26*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[14, Alternating, 19515] -> 
  2/a^6 - a^(-4) - 2/a^2 + 2*a^2 - 4*z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + z^6/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[14, Alternating, 19516] -> 
  -a^2 + 5*a^4 - 3*a^6 - 8*a^2*z^2 + 21*a^4*z^2 - 9*a^6*z^2 - 14*a^2*z^4 + 
   37*a^4*z^4 - 14*a^6*z^4 - 13*a^2*z^6 + 40*a^4*z^6 - 13*a^6*z^6 - 
   6*a^2*z^8 + 25*a^4*z^8 - 6*a^6*z^8 - a^2*z^10 + 8*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[14, Alternating, 19517] -> 9 - 4/a^2 - 4*a^2 + 24*z^2 - 
   (10*z^2)/a^2 - 10*a^2*z^2 + 38*z^4 - (14*z^4)/a^2 - 14*a^2*z^4 + 40*z^6 - 
   (13*z^6)/a^2 - 13*a^2*z^6 + 25*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 19518] -> 
  2 + a^(-4) - 2/a^2 + 9*z^2 + (9*z^2)/a^4 - (19*z^2)/a^2 + 20*z^4 + 
   (20*z^4)/a^4 - (49*z^4)/a^2 + 18*z^6 + (18*z^6)/a^4 - (56*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 19519] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (8*z^4)/a^4 - 
   (12*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19520] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^2 + 8*z^4 + (7*z^4)/a^6 - (9*z^4)/a^4 - (15*z^4)/a^2 + 5*z^6 + 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (13*z^6)/a^2 + z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[14, Alternating, 19521] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, Alternating, 19522] -> 
  7 + 6/a^4 - 12/a^2 + 33*z^2 + (33*z^2)/a^4 - (72*z^2)/a^2 + 49*z^4 + 
   (49*z^4)/a^4 - (131*z^4)/a^2 + 31*z^6 + (31*z^6)/a^4 - (111*z^6)/a^2 + 
   9*z^8 + (9*z^8)/a^4 - (49*z^8)/a^2 + z^10 + z^10/a^4 - (11*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 19523] -> 2 + 5/a^4 - 8/a^2 + 2*a^2 - 
   4*z^2 + (18*z^2)/a^4 - (31*z^2)/a^2 + 10*a^2*z^2 - 18*z^4 + (18*z^4)/a^4 - 
   (41*z^4)/a^2 + 13*a^2*z^4 - 18*z^6 + (7*z^6)/a^4 - (26*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^4 - (8*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19524] -> 6 + a^(-8) + 2/a^4 - 8/a^2 + 11*z^2 + 
   (6*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 - (18*z^2)/a^2 + 6*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (10*z^4)/a^4 - (17*z^4)/a^2 + z^6 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 - (7*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[14, Alternating, 19525] -> 1 + a^(-8) + a^(-4) - 4/a^2 + 2*a^2 - z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, Alternating, 19526] -> 
  1 + 12*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 + 32*z^4 - (13*z^4)/a^2 - 13*a^2*z^4 + 
   39*z^6 - (13*z^6)/a^2 - 13*a^2*z^6 + 25*z^8 - (6*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - z^10/a^2 - a^2*z^10 + z^12, Knot[14, Alternating, 19527] -> 
  5 + 4/a^4 - 8/a^2 + 18*z^2 + (18*z^2)/a^4 - (40*z^2)/a^2 + 26*z^4 + 
   (26*z^4)/a^4 - (70*z^4)/a^2 + 19*z^6 + (19*z^6)/a^4 - (64*z^6)/a^2 + 
   7*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 + z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[14, Alternating, 19528] -> 2 + 3/a^4 - 5/a^2 + a^2 - 
   4*z^2 + (9*z^2)/a^4 - (15*z^2)/a^2 + 6*a^2*z^2 - 14*z^4 + (10*z^4)/a^4 - 
   (20*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19529] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19530] -> 3 + 4/a^4 - 7/a^2 + a^2 - 3*z^2 + 
   (10*z^2)/a^4 - (18*z^2)/a^2 + 6*a^2*z^2 - 14*z^4 + (10*z^4)/a^4 - 
   (21*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19531] -> 3 + 4/a^4 - 7/a^2 + a^2 + 2*z^2 + 
   (13*z^2)/a^4 - (25*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 + (13*z^4)/a^4 - 
   (31*z^4)/a^2 + 8*a^2*z^4 - 12*z^6 + (6*z^6)/a^4 - (20*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19532] -> 3 + a^(-6) + 2/a^4 - 6/a^2 + a^2 + z^2 + 
   (4*z^2)/a^6 - z^2/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19533] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 
   (3*z^2)/a^2 - 10*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 
   13*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, Alternating, 19534] -> 3 + 2/a^6 - 5/a^2 + a^2 + 4*z^2 + 
   (5*z^2)/a^6 - z^2/a^4 - (18*z^2)/a^2 + 3*a^2*z^2 - z^4 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (20*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, Alternating, 19535] -> 4 + 5/a^4 - 9/a^2 + a^2 - 3*z^2 + 
   (14*z^2)/a^4 - (25*z^2)/a^2 + 8*a^2*z^2 - 14*z^4 + (14*z^4)/a^4 - 
   (32*z^4)/a^2 + 10*a^2*z^4 - 14*z^6 + (6*z^6)/a^4 - (21*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[14, Alternating, 19536] -> 3 + a^(-8) + a^(-4) - 5/a^2 + a^2 + z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 1] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 2] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 4] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 5] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 7] -> 
  1 + 2*a^2 - 7*a^4 + 8*a^6 - 3*a^8 + 2*z^2 + 2*a^2*z^2 - 14*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 + z^4 - a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 - 
   a^2*z^6 - 3*a^4*z^6, Knot[14, NonAlternating, 8] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 13*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 9] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 + 7*a^2*z^4 - 
   3*a^4*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 10] -> 
  -1 - 2/a^8 + 6/a^6 - 6/a^4 + 3/a^2 + a^2 - 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 11] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 16*z^2 + (6*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 15*z^4 + z^4/a^4 + (3*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 13] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 
   6/a^2 - 2*z^2 - z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - 
   z^4 + (5*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 14] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - (6*z^2)/a^12 + 
   (19*z^2)/a^10 - (18*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (14*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 15] -> a^4 + 3*a^6 - 6*a^8 + 6*a^10 - 4*a^12 + 
   a^14 + 2*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 
   a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + 5*a^10*z^4 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 16] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 17] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 18] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 19] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 
   9*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20] -> 4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 
   10*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 21] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 
   z^2 - z^2/a^2 + 12*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + 6*a^2*z^6 - 3*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 22] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 
   3*a^2 - 12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 16*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24] -> 
  1 - 3/a^8 + 9/a^6 - 9/a^4 + 3/a^2 + z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (19*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 25] -> 5*a^2 - 10*a^4 + 8*a^6 - a^8 - a^10 + 
   10*a^2*z^2 - 22*a^4*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 6*a^2*z^4 - 
   20*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 + a^2*z^6 - 8*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26] -> a^(-14) - 6/a^12 + 13/a^10 - 15/a^8 + 
   8/a^6 - (9*z^2)/a^12 + (32*z^2)/a^10 - (40*z^2)/a^8 + (22*z^2)/a^6 - 
   (3*z^4)/a^12 + (29*z^4)/a^10 - (46*z^4)/a^8 + (21*z^4)/a^6 + 
   (10*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 27] -> 
  -14 - 2/a^4 + 8/a^2 + 14*a^2 - 5*a^4 - 38*z^2 - (3*z^2)/a^4 + 
   (19*z^2)/a^2 + 34*a^2*z^2 - 9*a^4*z^2 - 43*z^4 - z^4/a^4 + (18*z^4)/a^2 + 
   32*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 28] -> 
  -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 12*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - z^4/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 29] -> 5*a^6 - 7*a^8 + 6*a^10 - 4*a^12 + a^14 + 
   12*a^6*z^2 - 13*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 + 9*a^6*z^4 - 
   10*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 5*a^8*z^6 + 2*a^10*z^6 - 
   a^8*z^8, Knot[14, NonAlternating, 30] -> -3 - a^(-6) + 4/a^2 + a^2 - 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 31] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 32] -> 
  a^(-10) - 8/a^8 + 16/a^6 - 13/a^4 + 5/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (40*z^2)/a^6 - (32*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (41*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 33] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 34] -> -a^(-6) + 3/a^4 - 3/a^2 + 4*a^2 - 2*a^4 - 
   2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 35] -> 2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 36] -> -3 - 2/a^4 + 5/a^2 + a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 37] -> 1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + 
   a^4 + 2*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + (3*z^4)/a^4 - z^4/a^2 - z^6/a^2, Knot[14, NonAlternating, 38] -> 
  5 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 10*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 39] -> 
  1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 3*a^4*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 40] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 41] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 42] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 43] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (14*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 44] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   32*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 29*a^2*z^2 - 8*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 45] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 8*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 9*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 46] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 47] -> a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 
   2*a^12 + a^4*z^2 + 12*a^6*z^2 - 16*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 
   2*a^4*z^4 + 11*a^6*z^4 - 12*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 
   3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 48] -> 
  -5/a^8 + 12/a^6 - 10/a^4 + 4/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (34*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (38*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 49] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 50] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 51] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 52] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 53] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 5*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 
   3*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 - 3*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 54] -> 1 - 3/a^8 + 6/a^6 - 3/a^4 + 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 55] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 56] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 6/a^2 + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (29*z^2)/a^6 - (31*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (36*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 57] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 
   8*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 8*a^4*z^4 + 9*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 58] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 3*z^2 + 
   12*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 - 4*z^4 + 12*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 59] -> -3 + a^(-4) + 4*a^2 - a^4 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 60] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 61] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 62] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   2*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 63] -> -3 - a^(-6) + 3/a^4 - a^(-2) + 4*a^2 - a^4 - 
   8*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 64] -> 6 - a^(-8) + 2/a^6 - 4/a^2 - 2*a^2 + 
   11*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 65] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   2*z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + 
   2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 66] -> 2/a^4 - 3/a^2 + 4*a^2 - 3*a^4 + a^6 - z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 67] -> 4 + a^(-10) - 2/a^8 + a^(-6) + 3/a^4 - 
   6/a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (13*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 68] -> 
  2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 69] -> 
  a^(-6) - a^(-4) + 2*a^2 - 2*a^4 + a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4, Knot[14, NonAlternating, 70] -> 
  -2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^(-2) + 2*a^2 - 5*z^2 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 71] -> a^(-2) - a^4 + 2*a^6 - 2*a^8 + 
   a^10 - z^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^6*z^4, 
 Knot[14, NonAlternating, 72] -> 1 + 2*a^2 - 7*a^4 + 8*a^6 - 3*a^8 + 2*z^2 + 
   2*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + z^4 - a^2*z^4 - 
   11*a^4*z^4 + 5*a^6*z^4 - a^2*z^6 - 3*a^4*z^6, 
 Knot[14, NonAlternating, 73] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 + 7*a^2*z^4 - 
   3*a^4*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 74] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 13*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 75] -> -1 - 2/a^8 + 6/a^6 - 6/a^4 + 3/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 76] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   16*z^2 + (6*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 77] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - z^4 + (5*z^4)/a^6 - 
   (15*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 78] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 
   4/a^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 79] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 
   2/a^4 - (6*z^2)/a^12 + (19*z^2)/a^10 - (18*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 80] -> a^4 + 3*a^6 - 6*a^8 + 6*a^10 - 
   4*a^12 + a^14 + 2*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 10*a^10*z^2 - 
   4*a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + 5*a^10*z^4 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 81] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 82] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 83] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 84] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 
   9*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 85] -> 4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 
   10*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 86] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 
   z^2 - z^2/a^2 + 12*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + 6*a^2*z^6 - 3*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 87] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - 
   a^4 - 16*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 88] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 
   3*a^2 - 12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 89] -> 
  1 - 3/a^8 + 9/a^6 - 9/a^4 + 3/a^2 + z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (19*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 90] -> 5*a^2 - 10*a^4 + 8*a^6 - a^8 - a^10 + 
   10*a^2*z^2 - 22*a^4*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 6*a^2*z^4 - 
   20*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 + a^2*z^6 - 8*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 91] -> a^(-14) - 6/a^12 + 13/a^10 - 15/a^8 + 
   8/a^6 - (9*z^2)/a^12 + (32*z^2)/a^10 - (40*z^2)/a^8 + (22*z^2)/a^6 - 
   (3*z^4)/a^12 + (29*z^4)/a^10 - (46*z^4)/a^8 + (21*z^4)/a^6 + 
   (10*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 92] -> 
  -14 - 2/a^4 + 8/a^2 + 14*a^2 - 5*a^4 - 38*z^2 - (3*z^2)/a^4 + 
   (19*z^2)/a^2 + 34*a^2*z^2 - 9*a^4*z^2 - 43*z^4 - z^4/a^4 + (18*z^4)/a^2 + 
   32*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 93] -> 
  -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 12*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - z^4/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 94] -> 5*a^6 - 7*a^8 + 6*a^10 - 4*a^12 + a^14 + 
   12*a^6*z^2 - 13*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 + 9*a^6*z^4 - 
   10*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 5*a^8*z^6 + 2*a^10*z^6 - 
   a^8*z^8, Knot[14, NonAlternating, 95] -> -3 - a^(-6) + 4/a^2 + a^2 - 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 96] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 97] -> 
  a^(-10) - 8/a^8 + 16/a^6 - 13/a^4 + 5/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (40*z^2)/a^6 - (32*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (41*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 98] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 99] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 100] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 11*a^4*z^2 + 
   4*a^6*z^2 - 2*z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 101] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 102] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 103] -> 
  -3 - 3/a^8 + 10/a^6 - 15/a^4 + 12/a^2 - 7*z^2 - (4*z^2)/a^8 + 
   (23*z^2)/a^6 - (39*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + 
   (20*z^4)/a^6 - (43*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (8*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 104] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 105] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 106] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 13*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 107] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 108] -> 
  5*a^2 - 13*a^4 + 16*a^6 - 8*a^8 + a^10 + 13*a^2*z^2 - 37*a^4*z^2 + 
   39*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 + 13*a^2*z^4 - 44*a^4*z^4 + 
   35*a^6*z^4 - 7*a^8*z^4 + 6*a^2*z^6 - 26*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 109] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   8*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 110] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 111] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + 
   a^10 + 6*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 
   2*a^2*z^4 - 11*a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 112] -> 
  2/a^10 - 8/a^8 + 14/a^6 - 13/a^4 + 6/a^2 + (4*z^2)/a^10 - (19*z^2)/a^8 + 
   (36*z^2)/a^6 - (33*z^2)/a^4 + (11*z^2)/a^2 + (2*z^4)/a^10 - (19*z^4)/a^8 + 
   (39*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 113] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 114] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 115] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   17*z^2 - z^2/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 116] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + 
   a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 117] -> 2 - 2*a^2 + a^4 + 2*z^2 - 4*a^2*z^2 + 
   a^4*z^2 - a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 118] -> 3 + a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - 
   4/a^2 + 4*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 119] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 120] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 121] -> 1 - a^2 + 3*a^4 - 4*a^6 + 
   3*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 
   z^4 - 6*a^2*z^4 + 7*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 122] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 123] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 124] -> -5 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 + 
   3*a^2 - 11*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 125] -> 
  4 + a^(-4) - 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   10*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 2*z^6, 
 Knot[14, NonAlternating, 126] -> 2 + a^(-4) - a^(-2) - 4*a^2 + 5*a^4 - 
   3*a^6 + a^8 + 4*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 
   4*z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 127] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - 
   3*a^2 + 2*a^4 + 7*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 10*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 128] -> 
  6 + 2/a^4 - 5/a^2 - 2*a^2 - a^4 + a^6 + 11*z^2 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 129] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 130] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 
   8*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 131] -> 4 - a^(-4) + a^(-2) - 6*a^2 + 4*a^4 - a^6 + 
   9*z^2 - z^2/a^4 - 12*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 132] -> -4 - a^(-6) + 3/a^4 - a^(-2) + 6*a^2 - 
   2*a^4 - 12*z^2 - z^2/a^6 + (4*z^2)/a^4 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 133] -> a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 134] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 135] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + a^8*z^2 - a^2*z^4 + a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 136] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 137] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (7*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 138] -> a^(-10) - 5/a^8 + 10/a^6 - 
   10/a^4 + 5/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (18*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 139] -> 
  -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 18*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 140] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   8*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - 7*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 141] -> 6 + a^(-6) - a^(-4) - 2/a^2 - 
   5*a^2 + 2*a^4 + 12*z^2 + z^2/a^6 - z^2/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 10*z^4 + z^4/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 142] -> 
  2/a^4 - 3/a^2 + 5*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 143] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 - 
   2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 144] -> 
  a^(-6) - a^(-4) + 2*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 145] -> a^(-6) - a^(-4) + 3*a^2 - 4*a^4 + 2*a^6 - 
   z^2 - (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + z^4 + 
   z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 146] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 147] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   17*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 14*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 148] -> 3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 149] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 150] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 151] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 - 3*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 152] -> a^2 + a^4 - a^6 - z^2 + 
   3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 153] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^8 + (15*z^4)/a^6 - (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 154] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (25*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (23*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 155] -> 
  -11 - a^(-4) + 6/a^2 + 10*a^2 - 3*a^4 - 26*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 156] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 157] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 158] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + a^8*z^2 - a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 159] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 160] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (7*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 161] -> a^(-10) - 5/a^8 + 10/a^6 - 
   10/a^4 + 5/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (18*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 162] -> 
  -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 18*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 163] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 164] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 165] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 166] -> 
  a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 
   4*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 167] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (15*z^4)/a^6 - 
   (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 168] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (25*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 169] -> 
  -11 - a^(-4) + 6/a^2 + 10*a^2 - 3*a^4 - 26*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 170] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 171] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 6*z^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 172] -> -1 - a^(-4) + 3/a^2 - a^2 + 
   a^4 - z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 173] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 174] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 175] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   15*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 176] -> 
  -6 + a^(-8) - a^(-6) - 2/a^4 + 6/a^2 + 3*a^2 - 11*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 177] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 2*a^4 + 
   2*z^2 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 178] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 
   6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 179] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 180] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 181] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^4*z^4 + 2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 182] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 183] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 184] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 185] -> 1 + 2*z^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 6*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 186] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   8*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   9*z^4 + z^4/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 187] -> 
  -4 + a^(-4) + 8*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   16*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 5*z^4 - z^4/a^2 + 14*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 188] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   12*z^2 + z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 189] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 190] -> a^2 + a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 191] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   z^2/a^4 + z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 8*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 192] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 17*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   z^4/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 193] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 194] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 195] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 196] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 197] -> a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 + 
   (4*z^2)/a^10 - (16*z^2)/a^8 + (30*z^2)/a^6 - (28*z^2)/a^4 + (10*z^2)/a^2 + 
   (2*z^4)/a^10 - (18*z^4)/a^8 + (35*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (8*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 198] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 199] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   3*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 200] -> 
  -8 + 2/a^6 - 7/a^4 + 11/a^2 + 3*a^2 - 25*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + 
   (31*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 + (2*z^4)/a^6 - (20*z^4)/a^4 + 
   (37*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (8*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 201] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 202] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 12*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 203] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 204] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 205] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 6*z^2 - (4*z^2)/a^8 + (20*z^2)/a^6 - (33*z^2)/a^4 + (25*z^2)/a^2 - 
   5*z^4 - (2*z^4)/a^8 + (19*z^4)/a^6 - (39*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   (8*z^6)/a^6 - (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 206] -> 
  3 - a^(-2) - a^2 + 4*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 207] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 208] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 + (2*z^2)/a^2 + a^2*z^2 - a^6*z^2 + a^8*z^2 - 
   3*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 209] -> 
  -6 + a^(-8) - 2/a^6 + 5/a^2 + 3*a^2 - 13*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 210] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 211] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 212] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 213] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - a^4*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 214] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (6*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 215] -> -3 + a^(-8) - 3/a^6 + 3/a^4 + a^(-2) + 
   2*a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 216] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 3*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 217] -> 4 + a^(-8) - 3/a^6 + 6/a^4 - 7/a^2 + 
   6*z^2 - (5*z^2)/a^6 + (13*z^2)/a^4 - (16*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 218] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 3*z^2 + z^2/a^2 - 10*a^2*z^2 + 6*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4 - 8*a^2*z^4 + 2*a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 219] -> a^(-4) - a^(-2) + a^2 + 3*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 220] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 3*z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + z^4 - 7*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 221] -> -8 + a^(-8) - a^(-6) - 2/a^4 + 7/a^2 + 
   4*a^2 - 18*z^2 + z^2/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 222] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 223] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 
   4*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 224] -> 3*a^2 - 3*a^4 + a^6 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 225] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 226] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - a^4*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 227] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (6*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 228] -> -3 + a^(-8) - 3/a^6 + 3/a^4 + a^(-2) + 
   2*a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 229] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 3*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 230] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 231] -> 
  a^4 + 2*a^6 - 2*a^8 + 3*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   3*a^4*z^4 - 4*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 
   2*a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 232] -> 
  -1 + 3*a^2 - a^6 + 5*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 5*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 233] -> -1 + 3*a^2 - a^6 + 5*a^4*z^2 - 2*a^6*z^2 + 
   2*z^4 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 234] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 235] -> 3*a^2 - 2*a^4 - a^6 + a^8 + a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 236] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 237] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 238] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 239] -> 1 + 2*a^2 - 10*a^4 + 16*a^6 - 
   10*a^8 + 2*a^10 + 2*z^2 + 5*a^2*z^2 - 27*a^4*z^2 + 34*a^6*z^2 - 
   13*a^8*z^2 + a^10*z^2 + z^4 + 4*a^2*z^4 - 27*a^4*z^4 + 23*a^6*z^4 - 
   4*a^8*z^4 + a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 240] -> -14 - a^(-4) + 7/a^2 + 13*a^2 - 4*a^4 - 
   32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 241] -> 
  -14 - a^(-4) + 7/a^2 + 13*a^2 - 4*a^4 - 32*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 242] -> 
  a^(-10) - 5/a^8 + 12/a^6 - 14/a^4 + 7/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (27*z^2)/a^6 - (28*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (20*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 243] -> 
  -10 + 3/a^2 + 15*a^2 - 9*a^4 + 2*a^6 - 23*z^2 + (6*z^2)/a^2 + 30*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 244] -> -3 - 2/a^8 + 8/a^6 - 14/a^4 + 12/a^2 - 
   5*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (30*z^2)/a^4 + (23*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (16*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 245] -> 
  -3 - 2/a^8 + 8/a^6 - 14/a^4 + 12/a^2 - 5*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - 
   (30*z^2)/a^4 + (23*z^2)/a^2 - 2*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (26*z^4)/a^4 + (16*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 246] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 247] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 248] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 
   11*a^6*z^2 - 9*a^8*z^2 + 6*a^10*z^2 - 2*a^12*z^2 + 8*a^6*z^4 - 7*a^8*z^4 + 
   6*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 249] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 250] -> -4 - 3/a^8 + 11/a^6 - 18/a^4 + 
   15/a^2 - 8*z^2 - (5*z^2)/a^8 + (26*z^2)/a^6 - (44*z^2)/a^4 + 
   (34*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + (22*z^4)/a^6 - (46*z^4)/a^4 + 
   (31*z^4)/a^2 - z^6 + (8*z^6)/a^6 - (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 251] -> 
  a^(-14) - 7/a^12 + 16/a^10 - 18/a^8 + 9/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (37*z^2)/a^10 - (44*z^2)/a^8 + (23*z^2)/a^6 - (5*z^4)/a^12 + 
   (32*z^4)/a^10 - (48*z^4)/a^8 + (21*z^4)/a^6 + (11*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 252] -> 5*a^2 - 14*a^4 + 19*a^6 - 11*a^8 + 2*a^10 + 
   14*a^2*z^2 - 41*a^4*z^2 + 45*a^6*z^2 - 16*a^8*z^2 + a^10*z^2 + 
   14*a^2*z^4 - 47*a^4*z^4 + 38*a^6*z^4 - 7*a^8*z^4 + 6*a^2*z^6 - 
   27*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 253] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - 
   (2*z^4)/a^2 - 2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 254] -> 
  -1 + a^(-4) + 2*a^4 - 2*a^6 + a^8 - 3*z^2 - z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - z^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 255] -> -1 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 - 
   2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 3*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 256] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 257] -> -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 258] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 259] -> -4 - 3/a^8 + 11/a^6 - 18/a^4 + 
   15/a^2 - 8*z^2 - (5*z^2)/a^8 + (26*z^2)/a^6 - (44*z^2)/a^4 + 
   (34*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + (22*z^4)/a^6 - (46*z^4)/a^4 + 
   (31*z^4)/a^2 - z^6 + (8*z^6)/a^6 - (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 260] -> 
  3 - a^(-8) + 5/a^4 - 6/a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (12*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 261] -> 3 - 5*a^2 + 4*a^4 - a^6 + 8*z^2 - z^2/a^4 - 
   z^2/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 262] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   10*z^2 + z^2/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 263] -> 4*a^2 - 5*a^4 + a^6 + 2*a^8 - 
   a^10 - 3*z^2 + 11*a^2*z^2 - 11*a^4*z^2 + 3*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 
   8*a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 264] -> -2 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 
   2*a^4 - 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 265] -> 
  5 - a^(-8) + 2/a^6 + a^(-4) - 5/a^2 - a^2 + 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 266] -> 
  3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 267] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 268] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 6*z^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 269] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 270] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 271] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + z^4/a^2 + 
   25*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 19*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 272] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   17*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 273] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 274] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 275] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 276] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   3*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 277] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 278] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 279] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + 
   a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + 
   a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 280] -> 
  2/a^10 - 8/a^8 + 16/a^6 - 17/a^4 + 8/a^2 + (4*z^2)/a^10 - (21*z^2)/a^8 + 
   (41*z^2)/a^6 - (39*z^2)/a^4 + (12*z^2)/a^2 + (2*z^4)/a^10 - (20*z^4)/a^8 + 
   (43*z^4)/a^6 - (35*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 281] -> 1 + a^(-6) - 2/a^4 + a^(-2) + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 282] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4/a^4, 
 Knot[14, NonAlternating, 283] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (23*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 284] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 285] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 286] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 287] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 288] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   2*a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 289] -> 
  -2 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 2*a^4 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 290] -> 5 - a^(-8) + 2/a^6 + a^(-4) - 5/a^2 - a^2 + 
   8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 291] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 292] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 293] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - 3*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (20*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (27*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 294] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   6*z^2 + 20*a^2*z^2 - 24*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 295] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 296] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 297] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 298] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 299] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + z^4/a^2 + 
   25*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 19*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 300] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   17*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 301] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 302] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 303] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 304] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 
   2*a^2 - 14*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 + z^4/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 305] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 20*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (23*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - (14*z^4)/a^4 + 
   (30*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 306] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 307] -> -6 + a^(-8) - a^(-6) - 2/a^4 + 6/a^2 + 
   3*a^2 - 11*z^2 + z^2/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 308] -> 
  1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 309] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 
   2*a^6 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 310] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 
   2*a^6 + 7*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 311] -> 
  4 - a^(-4) + a^(-2) - 6*a^2 + 4*a^4 - a^6 + 9*z^2 - z^2/a^4 - 12*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 312] -> 
  -4 - a^(-6) + 3/a^4 - a^(-2) + 6*a^2 - 2*a^4 - 12*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 313] -> -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 314] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 315] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - 
   a^4 - 14*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 316] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - 
   a^8 - 3*z^2 + 11*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 7*a^2*z^4 - 
   5*a^4*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 317] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (19*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 318] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 319] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 320] -> 
  -3 - 3/a^8 + 10/a^6 - 15/a^4 + 12/a^2 - 7*z^2 - (4*z^2)/a^8 + 
   (23*z^2)/a^6 - (39*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + 
   (20*z^4)/a^6 - (43*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (8*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 321] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + 
   a^6 - 13*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 322] -> 
  5*a^2 - 13*a^4 + 16*a^6 - 8*a^8 + a^10 + 13*a^2*z^2 - 37*a^4*z^2 + 
   39*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 + 13*a^2*z^4 - 44*a^4*z^4 + 
   35*a^6*z^4 - 7*a^8*z^4 + 6*a^2*z^6 - 26*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 323] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 324] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^6)/a^6, Knot[14, NonAlternating, 325] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 326] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 17*z^2 - z^2/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 327] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   8*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - 7*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 328] -> 6 + a^(-6) - a^(-4) - 2/a^2 - 
   5*a^2 + 2*a^4 + 12*z^2 + z^2/a^6 - z^2/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 10*z^4 + z^4/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 329] -> 
  2/a^4 - 3/a^2 + 5*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 330] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 331] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 332] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 
   2*a^2 - 8*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 
   3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 333] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 14*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 9*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 334] -> 2/a^10 - 8/a^8 + 14/a^6 - 13/a^4 + 6/a^2 + 
   (4*z^2)/a^10 - (19*z^2)/a^8 + (36*z^2)/a^6 - (33*z^2)/a^4 + (11*z^2)/a^2 + 
   (2*z^4)/a^10 - (19*z^4)/a^8 + (39*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - 
   (8*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 335] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 336] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 337] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + a^8*z^2 - a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 338] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 339] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (7*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 340] -> a^(-10) - 5/a^8 + 10/a^6 - 
   10/a^4 + 5/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (18*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 341] -> 
  -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 18*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 342] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   17*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 14*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 343] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 344] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 345] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 346] -> 
  a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 
   4*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 347] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (15*z^4)/a^6 - 
   (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 348] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (25*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 349] -> 
  -11 - a^(-4) + 6/a^2 + 10*a^2 - 3*a^4 - 26*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 350] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 351] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 352] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + a^8*z^2 - a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 353] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 354] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (7*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 355] -> a^(-10) - 5/a^8 + 10/a^6 - 
   10/a^4 + 5/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (18*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 356] -> 
  -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 18*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 357] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 358] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 359] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 360] -> 
  a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 
   4*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 361] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (15*z^4)/a^6 - 
   (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 362] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (25*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 363] -> 
  -11 - a^(-4) + 6/a^2 + 10*a^2 - 3*a^4 - 26*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 364] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 365] -> 
  1 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 366] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + a^6*z^6, Knot[14, NonAlternating, 367] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   19*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - z^4/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 368] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (27*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 369] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 - 6*z^2 + 20*a^2*z^2 - 24*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 370] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 371] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 372] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 373] -> 1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   7*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 374] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + 
   a^4 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 375] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   3*a^4 + a^6 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 - z^4/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 376] -> 
  -5 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 + 3*a^2 - 11*z^2 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 377] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 
   8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + 2*z^6, Knot[14, NonAlternating, 378] -> 
  2 + a^(-4) - a^(-2) - 4*a^2 + 5*a^4 - 3*a^6 + a^8 + 4*z^2 - (3*z^2)/a^2 - 
   9*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 
   2*a^2*z^6, Knot[14, NonAlternating, 379] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   a^(-2) - 3*a^2 + 2*a^4 + 7*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 10*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 380] -> 
  6 + 2/a^4 - 5/a^2 - 2*a^2 - a^4 + a^6 + 11*z^2 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 381] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 382] -> 
  3 - a^(-8) + 5/a^4 - 6/a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (12*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 383] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   10*z^2 + z^2/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 384] -> 3 - 5*a^2 + 4*a^4 - a^6 + 
   8*z^2 - z^2/a^4 - z^2/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 9*z^4 - 
   z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 385] -> 4*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 - 
   3*z^2 + 11*a^2*z^2 - 11*a^4*z^2 + 3*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 
   8*a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 386] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 387] -> 1 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - 
   (5*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 388] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 389] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (23*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 390] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 391] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 392] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 393] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 394] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   2*a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 395] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 396] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 397] -> a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - 
   (6*z^4)/a^8 + (18*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 398] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - z^4 + 4*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 399] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 7*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 400] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 401] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 3*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 402] -> 5*a^6 - 8*a^8 + 8*a^10 - 5*a^12 + a^14 + 
   13*a^6*z^2 - 16*a^8*z^2 + 16*a^10*z^2 - 6*a^12*z^2 + 10*a^6*z^4 - 
   13*a^8*z^4 + 11*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 6*a^8*z^6 + 2*a^10*z^6 - 
   a^8*z^8, Knot[14, NonAlternating, 403] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + 
   a^10 + 3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   3*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 404] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 405] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 406] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 407] -> 
  a^(-14) - 6/a^12 + 12/a^10 - 13/a^8 + 7/a^6 - (8*z^2)/a^12 + 
   (29*z^2)/a^10 - (36*z^2)/a^8 + (21*z^2)/a^6 - (2*z^4)/a^12 + 
   (26*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + (9*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 408] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   20*z^2 - z^2/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + 
   (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 409] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 
   3*z^2 - z^2/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - z^4 + 
   (6*z^4)/a^6 - (18*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 410] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 21*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 411] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (21*z^2)/a^4 + (13*z^2)/a^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 412] -> 
  5*a^2 - 12*a^4 + 14*a^6 - 7*a^8 + a^10 + 12*a^2*z^2 - 34*a^4*z^2 + 
   35*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 12*a^2*z^4 - 41*a^4*z^4 + 
   33*a^6*z^4 - 7*a^8*z^4 + 6*a^2*z^6 - 25*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 413] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   16*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 414] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 415] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 416] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 417] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   z^2 + z^2/a^6 - (3*z^2)/a^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 418] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 419] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^6 - (6*z^4)/a^4 - z^6/a^4, 
 Knot[14, NonAlternating, 420] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 10*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 421] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 422] -> 
  5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 + 10*a^2*z^2 - 23*a^4*z^2 + 16*a^6*z^2 - 
   2*a^8*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 8*a^6*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 423] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 424] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 425] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - z^4 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 426] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - z^4 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 427] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 428] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 2*z^2 - 2*a^2*z^2 + a^6*z^2 - 3*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 429] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 430] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 
   2*a^8 - 3*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 
   6*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 431] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 432] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 433] -> 
  -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 16*a^2*z^2 - 20*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   6*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 434] -> 
  a^(-10) - 7/a^8 + 14/a^6 - 12/a^4 + 5/a^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (36*z^2)/a^6 - (31*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (39*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 435] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 436] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   20*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 13*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 437] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - 
   a^4 - 14*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 438] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - 
   a^4 - 22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 
   18*z^4 - z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 439] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   3*z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 440] -> 
  -3 - 3/a^8 + 9/a^6 - 13/a^4 + 11/a^2 - 7*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - 
   (35*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - z^4/a^8 + (17*z^4)/a^6 - 
   (41*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 441] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 
   4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 442] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 13*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 443] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + 
   a^6 - 18*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   z^4/a^2 + 17*a^2*z^4 - 6*a^4*z^4 - 2*z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 444] -> 2/a^10 - 7/a^8 + 12/a^6 - 12/a^4 + 6/a^2 + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (32*z^2)/a^6 - (32*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (37*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 445] -> 
  4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 2*a^10 + 6*a^2*z^2 - 15*a^4*z^2 + 
   16*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 
   12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 446] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - 
   2*a^4 + a^6 + z^2 + z^2/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 447] -> 3 + a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 
   4/a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 448] -> 
  2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 2*z^2 - 4*a^2*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 449] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 450] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 451] -> -2 + 2/a^2 + a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 
   5*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 452] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 2*z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 453] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 
   6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 454] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 455] -> 
  a^(-2) - a^4 + a^6 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 456] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 457] -> 
  a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 458] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 459] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   11*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 460] -> 1 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 461] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 462] -> 
  a^(-2) - a^2 + a^4 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 463] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 464] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 465] -> 
  1 + z^2 - a^2*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 466] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 467] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + z^4 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 468] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 469] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 470] -> -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 471] -> 2*a^2 - a^4 + a^2*z^2 + 2*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 472] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 473] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 474] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 475] -> 
  -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 18*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 12*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 476] -> 
  1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 477] -> 
  a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 
   6*a^8*z^2 + 9*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 
   5*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 478] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 4/a^6 + a^(-4) - (6*z^2)/a^12 + 
   (20*z^2)/a^10 - (21*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + 
   (15*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 479] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   9*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 480] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 18*a^2*z^2 - 18*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   6*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 481] -> 
  -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 482] -> -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 
   35*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 30*a^2*z^2 - 8*a^4*z^2 - 40*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 483] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 484] -> 3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 - 4*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 485] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + (3*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 486] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 487] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 488] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 489] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 490] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 491] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (30*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (39*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 492] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 3*z^2 + 10*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   8*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 493] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 494] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 3*a^4*z^2 + 
   5*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - a^4*z^4 + 7*a^6*z^4 - 
   9*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 495] -> -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (32*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (38*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 496] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 2*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 497] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 498] -> 
  a^2 + a^6 - a^8 + 2*z^2 - z^2/a^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 499] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 - 4*z^4 + z^4/a^4 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 500] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 501] -> 
  1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 502] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 503] -> -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 
   28*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (28*z^2)/a^2 + 8*a^2*z^2 - 30*z^4 + 
   z^4/a^6 - (17*z^4)/a^4 + (38*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 504] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 
   z^4/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 505] -> 
  -2 + 2/a^2 + a^4 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 506] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + 
   a^6 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 507] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 508] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 509] -> 
  -4 + a^(-8) - a^(-6) - 2/a^4 + 5/a^2 + 2*a^2 - 8*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 510] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - 2*a^2 + 
   2*a^4 - z^2 + z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 9*a^2*z^2 + 
   3*a^4*z^2 + 4*z^4 - (5*z^4)/a^4 + (9*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 511] -> -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 512] -> -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^4 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 513] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 514] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + 3*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 515] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 2*z^2 + a^2*z^2 - 11*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 516] -> -3/a^8 + 9/a^6 - 10/a^4 + 
   5/a^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 - 
   z^4/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 517] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 518] -> 3 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 - 2*a^2 + a^4 + 4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 519] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - 
   3*a^2 + 2*a^4 + 8*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 10*z^4 - z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 520] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 3*a^4 - 
   2*a^6 + a^8 + 3*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   3*z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 521] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 522] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 523] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 524] -> 2 + 2/a^6 - 4/a^4 + 2/a^2 - 
   2*a^2 + a^4 + 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 525] -> -7 + a^(-8) - a^(-6) - a^(-4) + 5/a^2 + 
   4*a^2 - 15*z^2 + z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 526] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 4*z^2 + 
   z^2/a^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 527] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 528] -> a^(-8) - a^(-6) - a^(-4) + 2/a^2 - a^2 + 
   a^4 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + 
   z^4/a^4 + (3*z^4)/a^2, Knot[14, NonAlternating, 529] -> 
  a^(-8) - a^(-6) + a^(-2) - 2*a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^6 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 530] -> -1 + a^(-4) + a^2 - a^6 + a^8 - 3*z^2 - 
   z^2/a^2 - 2*a^6*z^2 + a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 531] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 532] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 533] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 534] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + z^4 - 6*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 535] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 536] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 537] -> -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 538] -> 2*a^2 - a^4 + a^2*z^2 + 2*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 539] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 540] -> -2 + 2/a^2 + a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 541] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 4*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 542] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   12*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 543] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 544] -> a^2 + a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 545] -> a^(-2) - a^4 + a^6 + 2*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 6*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 546] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 547] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 548] -> 
  -2 + 2/a^2 + a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 549] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 550] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 
   3*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 
   21*z^4 + z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 551] -> a^(-2) - a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 552] -> a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 
   4*a^4*z^2 + 2*z^4 - 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 553] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 554] -> 
  1 + 2*a^2 - 7*a^4 + 9*a^6 - 5*a^8 + a^10 + 2*z^2 + 2*a^2*z^2 - 15*a^4*z^2 + 
   15*a^6*z^2 - 4*a^8*z^2 + z^4 - a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - 
   a^2*z^6 - 3*a^4*z^6, Knot[14, NonAlternating, 555] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + a^(-6) + 2/a^4 - (5*z^2)/a^12 + 
   (17*z^2)/a^10 - (16*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (13*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 556] -> a^4 + 3*a^6 - 7*a^8 + 8*a^10 - 5*a^12 + 
   a^14 + 2*a^4*z^2 + 8*a^6*z^2 - 12*a^8*z^2 + 12*a^10*z^2 - 4*a^12*z^2 + 
   a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + 5*a^10*z^4 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 557] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 558] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + a^4*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 559] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 4*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 + 
   a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 560] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 561] -> 
  -1 + a^(-2) + a^2 + 2*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 562] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 563] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 564] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 - z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 565] -> 
  1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + 3*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 + z^4 - a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 566] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   5*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 567] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - z^2 + z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 568] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 569] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (13*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (9*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 570] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 8*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 571] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 572] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   6*z^4 + (5*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 573] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 574] -> 2 - 4*a^2 + 7*a^4 - 6*a^6 + 2*a^8 + 3*z^2 - 
   11*a^2*z^2 + 15*a^4*z^2 - 10*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 10*a^2*z^4 + 
   12*a^4*z^4 - 5*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 575] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 576] -> 1 + a^4 - 3*a^6 + 3*a^8 - a^10 + 
   3*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 577] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 578] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 579] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 580] -> 2 - 3*a^2 + 4*a^4 - 2*a^6 - a^8 + a^10 + 
   3*z^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   6*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 581] -> 4 - a^(-2) - 6*a^2 + 7*a^4 - 3*a^6 + 
   10*z^2 - (2*z^2)/a^2 - 15*a^2*z^2 + 12*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^2 - 13*a^2*z^4 + 5*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 582] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 583] -> -2 + a^(-6) - a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 + a^6 - 3*z^2 - (3*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - z^6, Knot[14, NonAlternating, 584] -> 
  a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 2*z^2 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 585] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^6 - 
   2*a^8 + a^10 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 586] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 587] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 588] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 
   4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 589] -> 4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 7*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 590] -> 3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 591] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 2*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 592] -> 
  4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 - a^2*z^2 + 10*a^4*z^2 - 13*a^6*z^2 + 
   10*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 9*a^4*z^4 - 12*a^6*z^4 + 5*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 593] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 594] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 595] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   (4*z^2)/a^10 - (15*z^2)/a^8 + (28*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 + 
   (2*z^4)/a^10 - (18*z^4)/a^8 + (34*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (8*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 596] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + z^2/a^10 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 597] -> -1 + a^(-2) + a^2 - 7*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 598] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   2*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 599] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 - a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 600] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (6*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 601] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 602] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 7*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 4*z^4 + z^4/a^4 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 603] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 604] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 - z^4/a^8 + 
   z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 605] -> a^4 + a^6 - a^8 + a^10 - a^12 + 4*a^4*z^2 - 
   a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 
   5*a^8*z^4 + a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 606] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 607] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 - z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 608] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (13*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - (16*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 609] -> 
  1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + 3*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 + z^4 - a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 610] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 7*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 
   2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 611] -> 4 + a^(-6) - a^(-4) - a^(-2) - 4*a^2 + 
   2*a^4 + 10*z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 612] -> 
  1 + 2/a^4 - 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 + z^2/a^4 - (6*z^2)/a^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - (2*z^4)/a^2 + 12*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 613] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 614] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   10*z^2 + z^2/a^6 - (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 615] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 - z^4/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 616] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 617] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   8*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 618] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 619] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 620] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 6*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (13*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 621] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   5*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 622] -> 
  a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (28*z^2)/a^6 - (28*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (35*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 623] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 624] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   12*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 625] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 
   7/a^2 - 6*z^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - (31*z^2)/a^4 + (23*z^2)/a^2 - 
   5*z^4 - (2*z^4)/a^8 + (19*z^4)/a^6 - (38*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   (8*z^6)/a^6 - (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 626] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 8*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 627] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 628] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 629] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 630] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 
   3*a^2 - 16*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 + z^4/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 631] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 632] -> 
  -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 3/a^4 - z^2/a^12 + (5*z^2)/a^10 + 
   z^2/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + (3*z^4)/a^10 - z^4/a^8 - 
   (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 633] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 634] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   17*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 635] -> 
  2*a^4 - a^6 + a^10 - a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 4*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 636] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (8*z^4)/a^4 - 
   (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 637] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (20*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 638] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 639] -> -2/a^12 + 4/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 640] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 641] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 16*z^2 + 
   (4*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + z^4/a^2 + 
   28*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 642] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   16*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 643] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 4*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 644] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 2*a^4*z^2 + 9*a^6*z^2 - 
   12*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 645] -> a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 646] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 647] -> 
  -a^(-4) + 2/a^2 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 648] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 649] -> -a^(-4) + 2/a^2 + 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 650] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 651] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 - z^4/a^8 + z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 652] -> -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 653] -> 1 - a^(-10) + 3/a^8 - 5/a^6 + 5/a^4 - 
   2/a^2 + 2*z^2 + (5*z^2)/a^8 - (11*z^2)/a^6 + (12*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 654] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 655] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 656] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - 
   5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 657] -> -6 + a^(-8) - a^(-6) - 2/a^4 + 6/a^2 + 
   3*a^2 - 15*z^2 + z^2/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 658] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + a^8*z^2 + z^4 - 
   5*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 659] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + z^4 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 660] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 661] -> 
  -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 662] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 663] -> 1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 664] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 665] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 666] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - 
   2*z^2 + 7*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 
   5*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 667] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 
   4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 668] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 669] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 670] -> 5 + a^(-6) - a^(-4) - 2/a^2 - 3*a^2 + a^4 + 
   7*z^2 - z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 671] -> 
  -4 + a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + 3*a^2 - 9*z^2 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 672] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 673] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 674] -> 1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + 
   2*z^2 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 675] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   4*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 676] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   8*z^2 - (4*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 677] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 678] -> 
  a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 
   5*a^8*z^2 + 10*a^10*z^2 - 5*a^12*z^2 + 3*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 
   8*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[14, NonAlternating, 679] -> 
  1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 680] -> 1 + 2*a^2 - 8*a^4 + 11*a^6 - 6*a^8 + a^10 + 
   2*z^2 + 3*a^2*z^2 - 19*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 + 
   a^2*z^4 - 18*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - 7*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 681] -> -1 + a^(-2) + a^2 - 6*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 682] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 683] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 684] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - 4*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 685] -> -1 + a^(-2) + a^2 - 6*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 3*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 686] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (7*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 687] -> a^(-10) - 5/a^8 + 9/a^6 - 
   8/a^4 + 4/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 - (6*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 688] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   15*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 689] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + (6*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 690] -> 
  -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 691] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 17*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 692] -> -2 - 3/a^8 + 10/a^6 - 14/a^4 + 10/a^2 - 
   6*z^2 - (4*z^2)/a^8 + (22*z^2)/a^6 - (36*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (19*z^4)/a^6 - (40*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   (8*z^6)/a^6 - (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 693] -> 
  4 + a^(-4) - 2/a^2 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   10*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 694] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 
   5*a^4 - 3*a^6 + a^8 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 13*a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, Knot[14, NonAlternating, 695] -> 
  1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + a^4 + z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 696] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 697] -> 
  -a^(-4) + 2/a^2 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 698] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 699] -> -a^(-4) + 2/a^2 + 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 700] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 701] -> -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 702] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 703] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 704] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - 
   5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 705] -> -6 + a^(-8) - a^(-6) - 2/a^4 + 6/a^2 + 
   3*a^2 - 15*z^2 + z^2/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 706] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   5*z^4 + z^4/a^6 - (3*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 707] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 708] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (6*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 709] -> 2*a^2 - a^4 - 2*z^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 710] -> 
  2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + (4*z^4)/a^4 - z^4/a^2 - 
   z^6/a^2, Knot[14, NonAlternating, 711] -> 4 + a^(-8) - 2/a^6 + 3/a^4 - 
   4/a^2 - 2*a^2 + a^4 + 8*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 712] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 
   2*a^6 + a^8 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 713] -> 2/a^10 - 7/a^8 + 11/a^6 - 10/a^4 + 5/a^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (26*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 714] -> -9 + 4/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 
   19*z^2 + (4*z^2)/a^2 + 25*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + 
   z^4/a^2 + 30*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 20*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 715] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   19*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 716] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 717] -> 
  2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 7*z^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 718] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 
   2*a^4 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 719] -> 1 + a^4 - 3*a^6 + 3*a^8 - a^10 + 
   3*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 720] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 721] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + 
   (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 722] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   28*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 33*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 723] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 724] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 725] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - (10*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 726] -> 
  3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 7*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 727] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 728] -> 
  2 - 4*a^2 + 7*a^4 - 6*a^6 + 2*a^8 + 3*z^2 - 11*a^2*z^2 + 15*a^4*z^2 - 
   10*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 10*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 + 
   z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 729] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   5*z^4 + z^4/a^6 - (3*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 730] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 731] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (6*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 732] -> -2 + a^(-4) + 2*a^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 733] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 734] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 735] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   8*a^4*z^2 - 10*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 736] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   2*z^2 - a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^2 + 3*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 737] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + 
   (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 738] -> -2/a^12 + 4/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 739] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 740] -> -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 
   3/a^4 - z^2/a^12 + (5*z^2)/a^10 + z^2/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^4)/a^10 - z^4/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 741] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 742] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 743] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 28*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   23*a^2*z^2 - 6*a^4*z^2 - 33*z^4 - z^4/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 
   4*a^4*z^4 - 21*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 744] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 745] -> a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 746] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (8*z^4)/a^4 - 
   (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 747] -> 2*a^4 - a^6 + a^10 - a^12 + 4*a^4*z^2 + 
   2*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 4*a^6*z^4 - 7*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 748] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 4*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 749] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 2*a^4*z^2 + 9*a^6*z^2 - 
   12*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 750] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^2 - 
   a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 751] -> 1 + a^(-6) - a^(-4) - a^4 + a^6 + z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 752] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 4*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 753] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 754] -> 3 - a^(-4) + a^(-2) - 4*a^2 + 3*a^4 - a^6 + 
   7*z^2 - z^2/a^4 + z^2/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 8*z^4 - 
   z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 755] -> -2 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 
   2*a^4 - 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 12*z^4 + (2*z^4)/a^4 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 756] -> 
  3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 757] -> 1 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 - (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 758] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 759] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 760] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 - 3*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 761] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 
   2*a^2 + a^4 + 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 762] -> 
  -5 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + 3*a^2 - 11*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 763] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + 
   z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 764] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 765] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 766] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 767] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 768] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   9*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 769] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 770] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + 
   z^4/a^2 + a^2*z^4 - z^6, Knot[14, NonAlternating, 771] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 2*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (23*z^2)/a^4 + (14*z^2)/a^2 - z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (24*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 772] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + (3*z^2)/a^8 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 773] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 + 
   z^2/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + z^4 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 774] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 775] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 20*z^2 - 
   (6*z^2)/a^4 + (18*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 776] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 777] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 
   4*a^8*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 778] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 16*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 779] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 780] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   17*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 781] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + 
   (20*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (20*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 782] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 16*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   16*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + z^4/a^2 + 28*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 6*z^6 + 20*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 783] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 16*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 784] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 8*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 785] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + 
   a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 5*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 786] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 787] -> 
  -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 2*a^4 - 10*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 788] -> 2 - a^2 - 3*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   3*z^2 - 4*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   4*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 789] -> a^(-14) - 4/a^12 + 5/a^10 - 
   2/a^8 - 2/a^6 + 3/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (7*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 790] -> 3 - 2/a^8 + 5/a^6 - 4/a^4 - 
   a^2 + 7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 791] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 792] -> 
  2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + 4*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 
   9*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 - 4*a^8*z^4 + 5*a^10*z^4 - a^6*z^6 - 
   2*a^8*z^6, Knot[14, NonAlternating, 793] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - 
   a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 794] -> 
  -2 - 3/a^8 + 9/a^6 - 12/a^4 + 9/a^2 - 3*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (29*z^2)/a^4 + (19*z^2)/a^2 - z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (28*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 795] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 31*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 796] -> 
  -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 26*z^2 - (7*z^2)/a^4 + 
   (23*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - (5*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 797] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 798] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 799] -> 
  -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 800] -> -5 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + 
   3*a^2 - 11*z^2 + z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 801] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + 
   z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 802] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 803] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 804] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 805] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 806] -> 1 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 - (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 807] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 808] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 809] -> -2 + a^(-4) + 2*a^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 810] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 811] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 812] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 
   5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 813] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 814] -> 2 - 3*a^2 + 4*a^4 - 2*a^6 - a^8 + a^10 + 
   3*z^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   6*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 815] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 816] -> 4 - a^(-2) - 6*a^2 + 7*a^4 - 3*a^6 + 
   10*z^2 - (2*z^2)/a^2 - 15*a^2*z^2 + 12*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^2 - 13*a^2*z^4 + 5*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 817] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 - a^2*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 818] -> 2*a^4 - a^6 + 2*a^10 - 3*a^12 + a^14 + 
   5*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 
   7*a^6*z^4 + 5*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 819] -> 2 + a^(-10) - 4/a^8 + 4/a^6 + 
   a^(-4) - 3/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (2*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - 
   (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 820] -> -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 + 
   2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   5*z^4 + z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 821] -> -6 - a^(-6) + 2/a^4 + a^(-2) + 
   8*a^2 - 3*a^4 - 14*z^2 - z^2/a^6 + (5*z^2)/a^4 + 16*a^2*z^2 - 4*a^4*z^2 - 
   14*z^4 + (3*z^4)/a^4 - z^4/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 822] -> 
  2 - a^2 - 4*a^4 + 8*a^6 - 5*a^8 + a^10 + 3*z^2 - 3*a^2*z^2 - 10*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 
   11*a^6*z^4 - 3*a^8*z^4 - 5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 823] -> a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + 
   a^(-6) + 2/a^4 - (5*z^2)/a^12 + (14*z^2)/a^10 - (12*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - (14*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 824] -> 
  2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (31*z^2)/a^6 - (21*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 825] -> 
  -12 - 4/a^4 + 11/a^2 + 9*a^2 - 3*a^4 - 26*z^2 - (7*z^2)/a^4 + 
   (24*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (20*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 826] -> 
  -3 + 11*a^2 - 13*a^4 + 9*a^6 - 3*a^8 - 7*z^2 + 25*a^2*z^2 - 27*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 827] -> 6*a^6 - 11*a^8 + 12*a^10 - 8*a^12 + 
   2*a^14 + 15*a^6*z^2 - 24*a^8*z^2 + 26*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 
   12*a^6*z^4 - 21*a^8*z^4 + 20*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   10*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 828] -> 
  2/a^14 - 9/a^12 + 16/a^10 - 16/a^8 + 8/a^6 + z^2/a^14 - (14*z^2)/a^12 + 
   (38*z^2)/a^10 - (42*z^2)/a^8 + (22*z^2)/a^6 - (5*z^4)/a^12 + 
   (33*z^4)/a^10 - (47*z^4)/a^8 + (21*z^4)/a^6 + (11*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 829] -> -3 - 4/a^8 + 13/a^6 - 18/a^4 + 13/a^2 - 
   7*z^2 - (5*z^2)/a^8 + (28*z^2)/a^6 - (45*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (22*z^4)/a^6 - (47*z^4)/a^4 + (30*z^4)/a^2 - z^6 + 
   (8*z^6)/a^6 - (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 830] -> 
  -17 - 3/a^4 + 11/a^2 + 15*a^2 - 5*a^4 - 44*z^2 - (4*z^2)/a^4 + 
   (24*z^2)/a^2 + 36*a^2*z^2 - 9*a^4*z^2 - 47*z^4 - z^4/a^4 + (20*z^4)/a^2 + 
   33*a^2*z^4 - 5*a^4*z^4 - 27*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 831] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 832] -> 
  -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 6*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 833] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 
   5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   5*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 834] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 5*a^4 - 
   3*a^6 + a^8 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - 
   4*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 
   3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 835] -> 
  4 + a^(-4) - 2/a^2 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 836] -> 1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + 
   a^4 + z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 837] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^2 + (3*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 838] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 839] -> a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 
   4*a^12 + a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 10*a^10*z^2 - 
   5*a^12*z^2 + 3*a^4*z^4 - 4*a^8*z^4 + 7*a^10*z^4 - 2*a^6*z^6 - 3*a^8*z^6, 
 Knot[14, NonAlternating, 840] -> a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 4/a^6 + 
   a^(-4) - (6*z^2)/a^12 + (19*z^2)/a^10 - (20*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (14*z^4)/a^10 - (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 841] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 15*z^2 + (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 842] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   5*a^2*z^2 - a^4*z^2 + a^6*z^2 + a^8*z^2 + z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 843] -> 4 - 2/a^8 + 5/a^6 - 3/a^4 - 2/a^2 - a^2 + 
   9*z^2 - z^2/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 844] -> 
  2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 9*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 + 5*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 845] -> -1 - 4/a^8 + 12/a^6 - 14/a^4 + 8/a^2 - 
   2*z^2 - (4*z^2)/a^8 + (23*z^2)/a^6 - (32*z^2)/a^4 + (17*z^2)/a^2 - z^4 - 
   z^4/a^8 + (14*z^4)/a^6 - (29*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 846] -> 
  6*a^2 - 13*a^4 + 13*a^6 - 6*a^8 + a^10 + 11*a^2*z^2 - 29*a^4*z^2 + 
   26*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 25*a^4*z^4 + 
   18*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 847] -> 
  2/a^10 - 10/a^8 + 18/a^6 - 15/a^4 + 6/a^2 + (4*z^2)/a^10 - (22*z^2)/a^8 + 
   (44*z^2)/a^6 - (36*z^2)/a^4 + (11*z^2)/a^2 + (2*z^4)/a^10 - (20*z^4)/a^8 + 
   (44*z^4)/a^6 - (34*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 848] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 849] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (24*z^2)/a^4 + (13*z^2)/a^2 - z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (24*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 850] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 851] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 
   13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 852] -> -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 
   33*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 35*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 853] -> -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 854] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 855] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 5*a^2*z^2 - 13*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 11*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 856] -> -1 + a^(-2) + a^2 - 6*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 857] -> -1 + a^(-2) + a^2 - 6*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 3*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 858] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (7*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 859] -> -7 + 2/a^6 - 6/a^4 + 9/a^2 + 
   3*a^2 - 12*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 860] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 7*a^2*z^2 - 17*a^4*z^2 + 
   17*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 
   11*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 861] -> 2/a^10 - 8/a^8 + 13/a^6 - 
   11/a^4 + 5/a^2 + (4*z^2)/a^10 - (18*z^2)/a^8 + (33*z^2)/a^6 - 
   (29*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (18*z^4)/a^8 + (36*z^4)/a^6 - 
   (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 862] -> -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 863] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 
   2*a^8 - 5*z^2 + 17*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 864] -> 
  -2 - 3/a^8 + 10/a^6 - 14/a^4 + 10/a^2 - 6*z^2 - (4*z^2)/a^8 + 
   (22*z^2)/a^6 - (36*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (40*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (8*z^6)/a^6 - 
   (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 865] -> -2 + a^(-2) + 2*a^2 + a^4 - 
   a^6 - 8*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 10*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 866] -> 2*a^2 - a^4 - 2*z^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 867] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 868] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 869] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 870] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (19*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 871] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 872] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   14*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 873] -> 
  -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 29*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 874] -> -1 - 3/a^8 + 9/a^6 - 11/a^4 + 7/a^2 - 
   4*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (28*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (14*z^4)/a^6 - (32*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 875] -> -2 + 9*a^2 - 12*a^4 + 9*a^6 - 
   3*a^8 - 6*z^2 + 22*a^2*z^2 - 26*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 876] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 877] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 878] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 879] -> 2/a^10 - 7/a^8 + 11/a^6 - 10/a^4 + 5/a^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (26*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 880] -> -9 + 4/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 
   19*z^2 + (4*z^2)/a^2 + 25*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 15*z^4 + 
   z^4/a^2 + 30*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 20*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 881] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   19*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 882] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 883] -> 
  2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 7*z^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 884] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 
   2*a^4 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 885] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 886] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^2, Knot[14, NonAlternating, 887] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 888] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (10*z^2)/a^4 - (7*z^2)/a^2 - (4*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 889] -> 
  5 + 2/a^4 - 4/a^2 - 3*a^2 + a^6 + 10*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   8*a^2*z^2 + 11*z^4 - (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 890] -> 
  4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 891] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 892] -> 
  5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 8*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 893] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 9*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - 9*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 894] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 895] -> 
  5 + a^(-6) - a^(-4) - 2/a^2 - 3*a^2 + a^4 + 7*z^2 - z^2/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 896] -> -4 + a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + 
   3*a^2 - 9*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 897] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 898] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^4*z^4 - z^6 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 899] -> 
  1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 900] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 901] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 902] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 903] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 904] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 905] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   10*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 906] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (12*z^4)/a^6 - 
   (23*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (17*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 907] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + z^2 - 
   a^2*z^2 + a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 908] -> 
  5 + a^(-8) - 3/a^6 + 6/a^4 - 7/a^2 - 2*a^2 + a^4 + 7*z^2 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (11*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^2, Knot[14, NonAlternating, 909] -> 
  6 + a^(-8) - 3/a^6 + 5/a^4 - 6/a^2 - 3*a^2 + a^4 + 8*z^2 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 910] -> 
  6 + a^(-8) - 3/a^6 + 6/a^4 - 7/a^2 - 4*a^2 + 2*a^4 + 12*z^2 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (13*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 12*z^4 + (6*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 911] -> 7 + a^(-8) - 3/a^6 + 6/a^4 - 8/a^2 - 
   3*a^2 + a^4 + 11*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (15*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 912] -> 6 + a^(-4) - 3/a^2 - 6*a^2 + 5*a^4 - 
   3*a^6 + a^8 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 913] -> 5 + a^(-4) - 2/a^2 - 7*a^2 + 6*a^4 - 
   3*a^6 + a^8 + 7*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 
   5*z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 914] -> 6 + a^(-4) - 3/a^2 - 7*a^2 + 7*a^4 - 
   4*a^6 + a^8 + 10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 15*a^2*z^2 + 12*a^4*z^2 - 
   4*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 4*a^2*z^6 + z^8, Knot[14, NonAlternating, 915] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 916] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 917] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   11*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 918] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (19*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 919] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 920] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   14*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 921] -> 
  -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 29*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 922] -> -1 - 3/a^8 + 9/a^6 - 11/a^4 + 7/a^2 - 
   4*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (28*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (14*z^4)/a^6 - (32*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 923] -> -2 + 9*a^2 - 12*a^4 + 9*a^6 - 
   3*a^8 - 6*z^2 + 22*a^2*z^2 - 26*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 924] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 925] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 926] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - 2*a^8*z^4 - a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 927] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (24*z^2)/a^4 + (13*z^2)/a^2 - z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (24*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 928] -> 
  -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 33*z^2 - (3*z^2)/a^4 + 
   (18*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 35*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 929] -> 
  -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 930] -> 7 + a^(-8) - 3/a^6 + 6/a^4 - 8/a^2 - 
   3*a^2 + a^4 + 11*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (15*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 931] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 932] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - (4*z^2)/a^12 + 
   (10*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (7*z^4)/a^10 - 
   (6*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 933] -> 2 - a^2 - 3*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   3*z^2 - 4*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   4*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 934] -> 3 - 2/a^8 + 5/a^6 - 4/a^4 - 
   a^2 + 7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 935] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 936] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 937] -> 2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + 
   4*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 9*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 - 
   4*a^8*z^4 + 5*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 938] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 939] -> 5 + 2/a^4 - 4/a^2 - 3*a^2 + a^6 + 10*z^2 + 
   z^2/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 11*z^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 940] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 
   2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 941] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 942] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - 2*a^8*z^4 - a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 943] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   9*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 2*z^4 - 9*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 944] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 8*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 945] -> 6 + a^(-4) - 3/a^2 - 7*a^2 + 6*a^4 - 
   2*a^6 + 10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 2*z^6, Knot[14, NonAlternating, 946] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 + 
   a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 947] -> 
  2 + a^(-10) - 4/a^8 + 4/a^6 + a^(-4) - 3/a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 948] -> 
  2*a^4 - a^6 + 2*a^10 - 3*a^12 + a^14 + 5*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 
   3*a^10*z^2 - 3*a^12*z^2 + 4*a^4*z^4 - 7*a^6*z^4 + 5*a^8*z^4 + 2*a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 949] -> 
  -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 + 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 950] -> -6 - a^(-6) + 2/a^4 + a^(-2) + 8*a^2 - 
   3*a^4 - 14*z^2 - z^2/a^6 + (5*z^2)/a^4 + 16*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 951] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + a^(-6) + 2/a^4 - (5*z^2)/a^12 + 
   (14*z^2)/a^10 - (12*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (12*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 952] -> 2 - a^2 - 4*a^4 + 8*a^6 - 5*a^8 + a^10 + 
   3*z^2 - 3*a^2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 
   2*a^2*z^4 - 11*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - 5*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 953] -> 2/a^10 - 9/a^8 + 14/a^6 - 
   10/a^4 + 4/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + (31*z^2)/a^6 - 
   (21*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - 
   (16*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 954] -> 
  -3 + 11*a^2 - 13*a^4 + 9*a^6 - 3*a^8 - 7*z^2 + 25*a^2*z^2 - 27*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 955] -> -12 - 4/a^4 + 11/a^2 + 9*a^2 - 3*a^4 - 
   26*z^2 - (7*z^2)/a^4 + (24*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 956] -> 
  6*a^6 - 11*a^8 + 12*a^10 - 8*a^12 + 2*a^14 + 15*a^6*z^2 - 24*a^8*z^2 + 
   26*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 12*a^6*z^4 - 21*a^8*z^4 + 
   20*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 10*a^8*z^6 + 5*a^10*z^6 - 
   2*a^8*z^8, Knot[14, NonAlternating, 957] -> 2/a^14 - 9/a^12 + 16/a^10 - 
   16/a^8 + 8/a^6 + z^2/a^14 - (14*z^2)/a^12 + (38*z^2)/a^10 - (42*z^2)/a^8 + 
   (22*z^2)/a^6 - (5*z^4)/a^12 + (33*z^4)/a^10 - (47*z^4)/a^8 + 
   (21*z^4)/a^6 + (11*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 958] -> 
  -17 - 3/a^4 + 11/a^2 + 15*a^2 - 5*a^4 - 44*z^2 - (4*z^2)/a^4 + 
   (24*z^2)/a^2 + 36*a^2*z^2 - 9*a^4*z^2 - 47*z^4 - z^4/a^4 + (20*z^4)/a^2 + 
   33*a^2*z^4 - 5*a^4*z^4 - 27*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 959] -> 
  -3 - 4/a^8 + 13/a^6 - 18/a^4 + 13/a^2 - 7*z^2 - (5*z^2)/a^8 + 
   (28*z^2)/a^6 - (45*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + 
   (22*z^4)/a^6 - (47*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (8*z^6)/a^6 - 
   (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 960] -> a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 
   4*a^12 + a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 10*a^10*z^2 - 
   5*a^12*z^2 + 3*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 8*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 961] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 962] -> 1 + 2*a^2 - 8*a^4 + 11*a^6 - 6*a^8 + a^10 + 
   2*z^2 + 3*a^2*z^2 - 19*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 + 
   a^2*z^4 - 18*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - 7*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 963] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 
   2/a^4 + z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 964] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + 
   a^4 - a^6 - 6*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 965] -> 
  -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 966] -> -2 - 3/a^8 + 9/a^6 - 12/a^4 + 
   9/a^2 - 3*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (29*z^2)/a^4 + (19*z^2)/a^2 - 
   z^4 - z^4/a^8 + (13*z^4)/a^6 - (28*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 967] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 31*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 968] -> 
  -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 26*z^2 - (7*z^2)/a^4 + 
   (23*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - (5*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 969] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 970] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 971] -> 
  -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 972] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + 
   a^4*z^2 + a^8*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 973] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   4*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 974] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 
   5*z^2 + z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   2*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 975] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 2*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (23*z^2)/a^4 + (14*z^2)/a^2 - z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (24*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 976] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 29*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 977] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 20*z^2 - (6*z^2)/a^4 + (18*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 978] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 979] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 980] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^4*z^4 - z^6 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 981] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 982] -> 
  4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 983] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 3*a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 984] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   a^8*z^2 + z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 985] -> 
  4 - 2/a^8 + 5/a^6 - 3/a^4 - 2/a^2 - a^2 + 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 986] -> 2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 + 3*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + z^4 - z^4/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 5*a^2*z^6 - 
   3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 987] -> 
  -1 - 4/a^8 + 12/a^6 - 14/a^4 + 8/a^2 - 2*z^2 - (4*z^2)/a^8 + (23*z^2)/a^6 - 
   (32*z^2)/a^4 + (17*z^2)/a^2 - z^4 - z^4/a^8 + (14*z^4)/a^6 - 
   (29*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 988] -> 
  6*a^2 - 13*a^4 + 13*a^6 - 6*a^8 + a^10 + 11*a^2*z^2 - 29*a^4*z^2 + 
   26*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 6*a^2*z^4 - 25*a^4*z^4 + 
   18*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 989] -> 
  2/a^10 - 10/a^8 + 18/a^6 - 15/a^4 + 6/a^2 + (4*z^2)/a^10 - (22*z^2)/a^8 + 
   (44*z^2)/a^6 - (36*z^2)/a^4 + (11*z^2)/a^2 + (2*z^4)/a^10 - (20*z^4)/a^8 + 
   (44*z^4)/a^6 - (34*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 990] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 991] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   9*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 992] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 13*a^4*z^2 + 
   14*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 
   11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 993] -> a^(-10) - 4/a^8 + 7/a^6 - 
   7/a^4 + 4/a^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + (32*z^4)/a^6 - 
   (31*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 994] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 12*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 995] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 996] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 6*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (27*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - z^4/a^8 + (16*z^4)/a^6 - 
   (36*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 997] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 998] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 999] -> 1 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 1000] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 1001] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 13*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1002] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   24*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (35*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1003] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   14*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - z^6 + 6*a^2*z^6 - 3*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 1004] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - 
   a^4 - 14*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1005] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 27*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   23*a^2*z^2 - 7*a^4*z^2 - 35*z^4 - z^4/a^4 + (16*z^4)/a^2 + 28*a^2*z^4 - 
   5*a^4*z^4 - 24*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 8*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 1006] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 1007] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^4*z^2 - a^6*z^2 + (3*z^4)/a^2 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 1008] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + 8*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 1009] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 
   16*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 6*a^4*z^4 - 2*z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1010] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   10*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 1011] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + 
   a^6 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 1012] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 1013] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 1014] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (16*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (14*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1015] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 17*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   22*a^4*z^2 + 7*a^6*z^2 - 17*z^4 + z^4/a^2 + 34*a^2*z^4 - 28*a^4*z^4 + 
   5*a^6*z^4 - 7*z^6 + 24*a^2*z^6 - 13*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 1016] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 14*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1017] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 1018] -> -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 
   z^2 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 1019] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 1020] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 19*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 
   7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1021] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - (4*z^2)/a^2 - a^4*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 1022] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (10*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1023] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 1024] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 1025] -> 
  2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + 2*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 1026] -> 
  -5 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + 3*a^2 - 13*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 1027] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 1028] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   3*z^4 + (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1029] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 1030] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 1031] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1032] -> 5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 + 
   10*a^2*z^2 - 24*a^4*z^2 + 18*a^6*z^2 - 4*a^8*z^2 + 6*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 + a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1033] -> a^(-14) - 6/a^12 + 11/a^10 - 11/a^8 + 
   6/a^6 - (7*z^2)/a^12 + (27*z^2)/a^10 - (34*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^4)/a^12 + (25*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + 
   (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 1034] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1035] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1036] -> 
  5*a^6 - 9*a^8 + 10*a^10 - 6*a^12 + a^14 + 14*a^6*z^2 - 18*a^8*z^2 + 
   18*a^10*z^2 - 6*a^12*z^2 + 10*a^6*z^4 - 14*a^8*z^4 + 11*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 6*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 1037] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - 
   z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - (13*z^2)/a^2 + z^4 - z^4/a^8 - 
   z^4/a^6 + (11*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 1038] -> a^(-10) - 6/a^8 + 12/a^6 - 
   11/a^4 + 5/a^2 + z^2/a^10 - (13*z^2)/a^8 + (34*z^2)/a^6 - (31*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (39*z^4)/a^6 - (32*z^4)/a^4 + 
   (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1039] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 1040] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 1041] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 8*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 1042] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1043] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 1044] -> 
  2 + a^(-10) - 2/a^8 + 3/a^4 - 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 1045] -> 2 + 2/a^4 - 3/a^2 + a^2 - 3*a^4 + 2*a^6 + 
   5*z^2 + z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^2 + 
   4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 1046] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 1047] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 20*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 13*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1048] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + z^2/a^10 - (11*z^2)/a^8 + 
   (24*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 - (6*z^4)/a^8 + (19*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 1049] -> -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 
   5*z^2 + 17*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 1050] -> 
  -2 - 3/a^8 + 9/a^6 - 12/a^4 + 9/a^2 - 7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (33*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - z^4/a^8 + (17*z^4)/a^6 - 
   (40*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 1051] -> 5*a^2 - 11*a^4 + 12*a^6 - 6*a^8 + a^10 + 
   11*a^2*z^2 - 32*a^4*z^2 + 33*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 
   12*a^2*z^4 - 40*a^4*z^4 + 33*a^6*z^4 - 7*a^8*z^4 + 6*a^2*z^6 - 
   25*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 1052] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 
   2*a^4 - 20*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   13*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1053] -> 
  -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 17*a^2*z^2 - 18*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1054] -> -2 - 3/a^8 + 9/a^6 - 12/a^4 + 9/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (33*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (40*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1055] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 
   19*z^4 - z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 1056] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1057] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1058] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1059] -> 
  2/a^10 - 7/a^8 + 10/a^6 - 8/a^4 + 4/a^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (21*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1060] -> 
  -9 + 4/a^2 + 11*a^2 - 8*a^4 + 3*a^6 - 20*z^2 + (4*z^2)/a^2 + 30*a^2*z^2 - 
   27*a^4*z^2 + 8*a^6*z^2 - 18*z^4 + z^4/a^2 + 38*a^2*z^4 - 30*a^4*z^4 + 
   5*a^6*z^4 - 7*z^6 + 25*a^2*z^6 - 13*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 1061] -> 
  -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 16*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1062] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 19*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1063] -> -1 + a^(-10) - 2/a^8 + a^(-6) + a^(-2) + 
   a^2 - 2*z^2 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^2 + z^4/a^6 + z^4/a^4 + 
   z^4/a^2, Knot[14, NonAlternating, 1064] -> -1 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 3*a^4 + 2*a^6 - 2*z^2 - (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 1065] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^4 + a^6 - 2*z^2 - (2*z^2)/a^4 - 
   2*a^4*z^2 + z^4 + z^4/a^2 + a^2*z^4, Knot[14, NonAlternating, 1066] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1067] -> -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1068] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1069] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 1070] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1071] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 1072] -> 
  2*a^4 - 2*a^6 + 2*a^8 - a^12 + 5*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 + 
   a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 7*a^6*z^4 + 5*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 1073] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1074] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - 
   a^4 - 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   6*z^6 - z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1075] -> 
  1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 1076] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (7*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1077] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1078] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 1079] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 1080] -> -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   2*a^2 - 7*z^2 + z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 1081] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 4*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (5*z^4)/a^4 + (10*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 1082] -> a^(-4) - a^(-2) + 3*a^2 - 
   4*a^4 + 2*a^6 - z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 1083] -> 3*a^4 - 5*a^6 + 6*a^8 - 
   3*a^10 + 9*a^4*z^2 - 13*a^6*z^2 + 12*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 
   8*a^4*z^4 - 13*a^6*z^4 + 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 1084] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   2*z^2 - z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - z^4/a^8 + 
   z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 1085] -> 1 + a^(-8) - a^(-6) - a^2 + a^4 - 
   (3*z^2)/a^6 + z^2/a^2 - 3*a^2*z^2 + 2*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2, 
 Knot[14, NonAlternating, 1086] -> -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 
   4*z^2 - (3*z^2)/a^6 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1087] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 2*a^6*z^2 - z^4/a^2 + a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 1088] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 3*a^2*z^2 - 
   3*a^6*z^2 + 5*a^8*z^2 - z^4 + a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 1089] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2, 
 Knot[14, NonAlternating, 1090] -> 2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 4*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 1091] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 1092] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + 3*z^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + a^6*z^6, Knot[14, NonAlternating, 1093] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 7*a^2*z^2 - 17*a^4*z^2 + 17*a^6*z^2 - 
   4*a^8*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 1094] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 1095] -> 2*a^4 - a^6 - a^8 + 4*a^10 - 4*a^12 + 
   a^14 + 5*a^4*z^2 - 3*a^6*z^2 + 9*a^10*z^2 - 5*a^12*z^2 + 4*a^4*z^4 - 
   5*a^6*z^4 - a^8*z^4 + 8*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 
   3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 1096] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 1097] -> 
  a^4 + 2*a^6 - 5*a^8 + 7*a^10 - 5*a^12 + a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 
   9*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 
   7*a^10*z^4 - a^6*z^6 - 3*a^8*z^6, Knot[14, NonAlternating, 1098] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 7/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (17*z^2)/a^10 - (17*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (12*z^4)/a^10 - 
   (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1099] -> 4 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 
   2*a^2 + a^4 + 6*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + 5*z^4 + (5*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1100] -> 2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + 
   a^4 + 4*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1101] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 3*a^4 - 
   2*a^6 + a^8 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 1102] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   6*z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^6 + (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 1103] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 1104] -> 
  2*a^4 - 2*a^6 + 2*a^8 - a^12 + 5*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 + 
   a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 7*a^6*z^4 + 5*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 1105] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1106] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   6*z^4 + z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 1107] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 
   3*a^2 - a^4 - 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   6*z^6 - z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1108] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1109] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (7*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1110] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - 5*a^2*z^4 + 
   4*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 1111] -> 2 - 2*a^2 + a^4 + 6*z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1112] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1113] -> 1 - a^2 + a^4 + a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 1114] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + 
   a^8 - 2*z^2 + z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + z^4 - 
   6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 1115] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 6*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1116] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1117] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1118] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1119] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + 
   a^2 - 5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^2 + a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1120] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - 5*a^2*z^4 + 
   4*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 1121] -> 2 - 2*a^2 + a^4 + 6*z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1122] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1123] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - 
   a^4 + a^6 - (3*z^2)/a^4 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4, 
 Knot[14, NonAlternating, 1124] -> -1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   2/a^2 + a^2 - 3*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 1125] -> -1 + a^(-2) + a^2 + a^6 - 
   2*a^8 + a^10 - 2*z^2 + z^2/a^2 - a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - z^4 - 
   a^2*z^4 + a^6*z^4, Knot[14, NonAlternating, 1126] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 
   3*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 1127] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 
   5*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   4*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 1128] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1129] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 1130] -> a^4 + 2*a^6 - 5*a^8 + 7*a^10 - 5*a^12 + 
   a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 9*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 + 
   2*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 7*a^10*z^4 - a^6*z^6 - 3*a^8*z^6, 
 Knot[14, NonAlternating, 1131] -> a^(-14) - 5/a^12 + 8/a^10 - 7/a^8 + 
   3/a^6 + a^(-4) - (5*z^2)/a^12 + (17*z^2)/a^10 - (17*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 + (12*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 1132] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 1133] -> -1 - 3/a^8 + 9/a^6 - 11/a^4 + 
   7/a^2 - 2*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (15*z^2)/a^2 - 
   z^4 - z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 1134] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 24*a^2*z^2 - 6*a^4*z^2 - 34*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1135] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1136] -> 
  2/a^10 - 9/a^8 + 15/a^6 - 12/a^4 + 5/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (34*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (29*z^4)/a^6 - (18*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 1137] -> 
  -14 - 4/a^4 + 12/a^2 + 10*a^2 - 3*a^4 - 30*z^2 - (8*z^2)/a^4 + 
   (27*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (5*z^4)/a^4 + 
   (23*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1138] -> 
  -3 + 11*a^2 - 14*a^4 + 11*a^6 - 4*a^8 - 7*z^2 + 26*a^2*z^2 - 30*a^4*z^2 + 
   20*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 22*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 1139] -> 6*a^6 - 12*a^8 + 14*a^10 - 9*a^12 + 
   2*a^14 + 16*a^6*z^2 - 27*a^8*z^2 + 30*a^10*z^2 - 13*a^12*z^2 + a^14*z^2 + 
   13*a^6*z^4 - 24*a^8*z^4 + 22*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   11*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 1140] -> 
  2/a^14 - 9/a^12 + 15/a^10 - 14/a^8 + 7/a^6 + z^2/a^14 - (13*z^2)/a^12 + 
   (35*z^2)/a^10 - (38*z^2)/a^8 + (21*z^2)/a^6 - (4*z^4)/a^12 + 
   (30*z^4)/a^10 - (45*z^4)/a^8 + (21*z^4)/a^6 + (10*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 1141] -> -3 - 4/a^8 + 12/a^6 - 16/a^4 + 12/a^2 - 
   7*z^2 - (4*z^2)/a^8 + (25*z^2)/a^6 - (41*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (19*z^4)/a^6 - (45*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1142] -> 
  -16 - 3/a^4 + 11/a^2 + 13*a^2 - 4*a^4 - 41*z^2 - (4*z^2)/a^4 + 
   (23*z^2)/a^2 + 32*a^2*z^2 - 8*a^4*z^2 - 44*z^4 - z^4/a^4 + (19*z^4)/a^2 + 
   31*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 1143] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 1144] -> -3 - 2/a^4 + 5/a^2 + 2*a^4 - a^6 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 1145] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 1146] -> 2*a^4 - a^6 - a^8 + 4*a^10 - 4*a^12 + 
   a^14 + 5*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 8*a^10*z^2 - 4*a^12*z^2 + 
   3*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 5*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 1147] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 
   2/a^4 - (4*z^2)/a^12 + (11*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + (8*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1148] -> 2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 
   6*z^2 - z^2/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (5*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 1149] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 1150] -> -2 - 4/a^8 + 12/a^6 - 15/a^4 + 10/a^2 - 
   3*z^2 - (4*z^2)/a^8 + (24*z^2)/a^6 - (35*z^2)/a^4 + (21*z^2)/a^2 - z^4 - 
   z^4/a^8 + (15*z^4)/a^6 - (32*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 1151] -> 6*a^2 - 13*a^4 + 14*a^6 - 8*a^8 + 2*a^10 + 
   11*a^2*z^2 - 30*a^4*z^2 + 29*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 26*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   9*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 1152] -> 2/a^10 - 9/a^8 + 16/a^6 - 14/a^4 + 6/a^2 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (40*z^2)/a^6 - (35*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (17*z^4)/a^8 + (42*z^4)/a^6 - (34*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 1153] -> 
  3 - 2/a^8 + 5/a^6 - 4/a^4 - a^2 + 6*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 1154] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*z^2 - 5*a^2*z^2 - 3*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 1155] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 1156] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1157] -> 4*a^2 - 9*a^4 + 11*a^6 - 6*a^8 + a^10 + 
   8*a^2*z^2 - 21*a^4*z^2 + 21*a^6*z^2 - 6*a^8*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 + a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1158] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 1159] -> 
  -15 - 3/a^4 + 11/a^2 + 11*a^2 - 3*a^4 - 35*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 31*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 1160] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - 
   a^4 - 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1161] -> a^4 + 2*a^6 - 5*a^8 + 7*a^10 - 5*a^12 + 
   a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 14*a^10*z^2 - 6*a^12*z^2 + 
   3*a^4*z^4 - 6*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 1162] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 1163] -> 
  1 + 2*a^2 - 7*a^4 + 9*a^6 - 5*a^8 + a^10 + 2*z^2 + 2*a^2*z^2 - 16*a^4*z^2 + 
   18*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 15*a^4*z^4 + 12*a^6*z^4 - 
   3*a^8*z^4 - 6*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1164] -> 4 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 
   2*a^2 + a^4 + 6*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + 5*z^4 + (5*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1165] -> 2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + 
   a^4 + 4*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1166] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 3*a^4 - 
   2*a^6 + a^8 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 1167] -> 2/a^10 - 9/a^8 + 15/a^6 - 12/a^4 + 5/a^2 + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (34*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (29*z^4)/a^6 - (18*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 1168] -> -3 + 11*a^2 - 14*a^4 + 11*a^6 - 4*a^8 - 
   7*z^2 + 26*a^2*z^2 - 30*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 1169] -> -14 - 4/a^4 + 12/a^2 + 10*a^2 - 3*a^4 - 
   30*z^2 - (8*z^2)/a^4 + (27*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - 
   (5*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1170] -> 
  6*a^6 - 12*a^8 + 14*a^10 - 9*a^12 + 2*a^14 + 16*a^6*z^2 - 27*a^8*z^2 + 
   30*a^10*z^2 - 13*a^12*z^2 + a^14*z^2 + 13*a^6*z^4 - 24*a^8*z^4 + 
   22*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 11*a^8*z^6 + 5*a^10*z^6 - 
   2*a^8*z^8, Knot[14, NonAlternating, 1171] -> 
  2/a^14 - 9/a^12 + 15/a^10 - 14/a^8 + 7/a^6 + z^2/a^14 - (13*z^2)/a^12 + 
   (35*z^2)/a^10 - (38*z^2)/a^8 + (21*z^2)/a^6 - (4*z^4)/a^12 + 
   (30*z^4)/a^10 - (45*z^4)/a^8 + (21*z^4)/a^6 + (10*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 1172] -> -16 - 3/a^4 + 11/a^2 + 13*a^2 - 4*a^4 - 
   41*z^2 - (4*z^2)/a^4 + (23*z^2)/a^2 + 32*a^2*z^2 - 8*a^4*z^2 - 44*z^4 - 
   z^4/a^4 + (19*z^4)/a^2 + 31*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1173] -> -3 - 4/a^8 + 12/a^6 - 16/a^4 + 12/a^2 - 
   7*z^2 - (4*z^2)/a^8 + (25*z^2)/a^6 - (41*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (19*z^4)/a^6 - (45*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1174] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - 
   a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 1175] -> 
  2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 1176] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^4 - a^6 - 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 1177] -> 
  2*a^4 - a^6 - a^8 + 4*a^10 - 4*a^12 + a^14 + 5*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + 8*a^10*z^2 - 4*a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 
   5*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 1178] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (4*z^2)/a^12 + (11*z^2)/a^10 - 
   (7*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + (8*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1179] -> 
  -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 2*a^4 - 9*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 1180] -> 
  2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 1181] -> 
  -15 - 3/a^4 + 11/a^2 + 11*a^2 - 3*a^4 - 35*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 31*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 1182] -> 6*a^2 - 13*a^4 + 14*a^6 - 8*a^8 + 2*a^10 + 
   11*a^2*z^2 - 30*a^4*z^2 + 29*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + 
   6*a^2*z^4 - 26*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   9*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 1183] -> 2/a^10 - 9/a^8 + 16/a^6 - 14/a^4 + 6/a^2 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (40*z^2)/a^6 - (35*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (17*z^4)/a^8 + (42*z^4)/a^6 - (34*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 1184] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1185] -> 2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   3*z^2 - 5*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 
   5*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 1186] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 1187] -> 1 - a^2 + a^4 + a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 1188] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + 4*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1189] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1190] -> -1 - 3/a^8 + 9/a^6 - 11/a^4 + 7/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (15*z^2)/a^2 - z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 1191] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 24*a^2*z^2 - 6*a^4*z^2 - 34*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 21*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1192] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1193] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 - a^4*z^2 + 
   2*a^6*z^2 - z^4 - a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 1194] -> 
  2*a^4 - a^6 - a^8 + 4*a^10 - 4*a^12 + a^14 + 5*a^4*z^2 - 3*a^6*z^2 + 
   9*a^10*z^2 - 5*a^12*z^2 + 4*a^4*z^4 - 5*a^6*z^4 - a^8*z^4 + 8*a^10*z^4 - 
   a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - 
   a^8*z^8, Knot[14, NonAlternating, 1195] -> -2 - 4/a^8 + 12/a^6 - 15/a^4 + 
   10/a^2 - 3*z^2 - (4*z^2)/a^8 + (24*z^2)/a^6 - (35*z^2)/a^4 + 
   (21*z^2)/a^2 - z^4 - z^4/a^8 + (15*z^4)/a^6 - (32*z^4)/a^4 + 
   (14*z^4)/a^2 + (3*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 1196] -> 3 - 2/a^8 + 5/a^6 - 4/a^4 - a^2 + 6*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1197] -> a^4 + 2*a^6 - 2*a^8 + 3*a^4*z^2 + 
   a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 6*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 1198] -> -1 + 3*a^2 - a^6 + 5*a^4*z^2 - 2*a^6*z^2 + 
   2*z^4 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 1199] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 
   a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 1200] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1201] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1202] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 1203] -> 1 + 2*a^2 - 10*a^4 + 16*a^6 - 
   10*a^8 + 2*a^10 + 2*z^2 + 5*a^2*z^2 - 27*a^4*z^2 + 34*a^6*z^2 - 
   13*a^8*z^2 + a^10*z^2 + z^4 + 4*a^2*z^4 - 27*a^4*z^4 + 23*a^6*z^4 - 
   4*a^8*z^4 + a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 1204] -> -14 - a^(-4) + 7/a^2 + 13*a^2 - 4*a^4 - 
   32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1205] -> 
  -10 + 3/a^2 + 15*a^2 - 9*a^4 + 2*a^6 - 23*z^2 + (6*z^2)/a^2 + 30*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1206] -> -3 - 2/a^8 + 8/a^6 - 14/a^4 + 12/a^2 - 
   5*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (30*z^2)/a^4 + (23*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (16*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 1207] -> a^(-10) - 5/a^8 + 12/a^6 - 14/a^4 + 
   7/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (28*z^2)/a^4 + 
   (9*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (20*z^4)/a^4 + 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 1208] -> -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1209] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 
   11*a^6*z^2 - 9*a^8*z^2 + 6*a^10*z^2 - 2*a^12*z^2 + 8*a^6*z^4 - 7*a^8*z^4 + 
   6*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 1210] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - 
   (6*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1211] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1212] -> -4 - 3/a^8 + 11/a^6 - 18/a^4 + 15/a^2 - 
   8*z^2 - (5*z^2)/a^8 + (26*z^2)/a^6 - (44*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (22*z^4)/a^6 - (46*z^4)/a^4 + (31*z^4)/a^2 - z^6 + 
   (8*z^6)/a^6 - (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 1213] -> 
  5*a^2 - 14*a^4 + 19*a^6 - 11*a^8 + 2*a^10 + 14*a^2*z^2 - 41*a^4*z^2 + 
   45*a^6*z^2 - 16*a^8*z^2 + a^10*z^2 + 14*a^2*z^4 - 47*a^4*z^4 + 
   38*a^6*z^4 - 7*a^8*z^4 + 6*a^2*z^6 - 27*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 1214] -> a^(-14) - 7/a^12 + 16/a^10 - 18/a^8 + 
   9/a^6 + z^2/a^14 - (12*z^2)/a^12 + (37*z^2)/a^10 - (44*z^2)/a^8 + 
   (23*z^2)/a^6 - (5*z^4)/a^12 + (32*z^4)/a^10 - (48*z^4)/a^8 + 
   (21*z^4)/a^6 + (11*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 1215] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1216] -> 
  4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 1217] -> 2/a^10 - 8/a^8 + 16/a^6 - 17/a^4 + 8/a^2 + 
   (4*z^2)/a^10 - (21*z^2)/a^8 + (41*z^2)/a^6 - (39*z^2)/a^4 + (12*z^2)/a^2 + 
   (2*z^4)/a^10 - (20*z^4)/a^8 + (43*z^4)/a^6 - (35*z^4)/a^4 + (6*z^4)/a^2 - 
   (8*z^6)/a^8 + (25*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 1218] -> 
  -8 + 2/a^6 - 7/a^4 + 11/a^2 + 3*a^2 - 12*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (20*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (14*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1219] -> 4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 + 
   7*a^2*z^2 - 18*a^4*z^2 + 19*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 12*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 1220] -> 
  2/a^10 - 7/a^8 + 11/a^6 - 10/a^4 + 5/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (31*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (36*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1221] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1222] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   2*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 1223] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 1224] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 1225] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 
   4*z^4 - (2*z^4)/a^8 + (13*z^4)/a^6 - (26*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 1226] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + z^4/a^4 + (4*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1227] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (18*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1228] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1229] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 1230] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 
   4*z^4 - (2*z^4)/a^8 + (13*z^4)/a^6 - (26*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 1231] -> 
  5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1232] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 1233] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + a^2*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (6*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1234] -> 6*a^6 - 13*a^8 + 16*a^10 - 10*a^12 + 
   2*a^14 + 17*a^6*z^2 - 33*a^8*z^2 + 40*a^10*z^2 - 17*a^12*z^2 + a^14*z^2 + 
   17*a^6*z^4 - 37*a^8*z^4 + 38*a^10*z^4 - 8*a^12*z^4 + 7*a^6*z^6 - 
   24*a^8*z^6 + 15*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - 
   a^8*z^10, Knot[14, NonAlternating, 1235] -> 2*a^4 - a^6 - 2*a^8 + 6*a^10 - 
   5*a^12 + a^14 + 5*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 13*a^10*z^2 - 
   6*a^12*z^2 + 4*a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 1236] -> a^4 + 2*a^6 - 6*a^8 + 9*a^10 - 6*a^12 + 
   a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 16*a^10*z^2 - 6*a^12*z^2 + 
   3*a^4*z^4 - 7*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 1237] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (9*z^2)/a^8 + (18*z^2)/a^6 - (10*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 1238] -> 
  1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + 2*z^2 + a^2*z^2 - 14*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 14*a^4*z^4 + 12*a^6*z^4 - 
   3*a^8*z^4 - 6*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1239] -> 6*a^6 - 13*a^8 + 16*a^10 - 10*a^12 + 
   2*a^14 + 17*a^6*z^2 - 33*a^8*z^2 + 40*a^10*z^2 - 17*a^12*z^2 + a^14*z^2 + 
   17*a^6*z^4 - 37*a^8*z^4 + 38*a^10*z^4 - 8*a^12*z^4 + 7*a^6*z^6 - 
   24*a^8*z^6 + 15*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - 
   a^8*z^10, Knot[14, NonAlternating, 1240] -> 2*a^4 - a^6 - 2*a^8 + 6*a^10 - 
   5*a^12 + a^14 + 5*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 13*a^10*z^2 - 
   6*a^12*z^2 + 4*a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 1241] -> -3 - 2/a^8 + 9/a^6 - 16/a^4 + 13/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (20*z^2)/a^6 - (42*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (46*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1242] -> a^(-14) - 5/a^12 + 12/a^10 - 
   16/a^8 + 9/a^6 - (7*z^2)/a^12 + (29*z^2)/a^10 - (43*z^2)/a^8 + 
   (24*z^2)/a^6 - (2*z^4)/a^12 + (26*z^4)/a^10 - (49*z^4)/a^8 + 
   (22*z^4)/a^6 + (9*z^6)/a^10 - (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 1243] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 12*z^4 + (6*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1244] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 1245] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   4*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 1246] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (3*z^2)/a^12 + (6*z^2)/a^10 - 
   (9*z^2)/a^8 + (11*z^2)/a^6 + (3*z^4)/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 1247] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (12*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 1248] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - 
   a^4 - 16*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 1249] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + 
   a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 1250] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1251] -> -11 + 2/a^2 + 19*a^2 - 10*a^4 + a^6 - 
   28*z^2 + (5*z^2)/a^2 + 47*a^2*z^2 - 21*a^4*z^2 + 2*a^6*z^2 - 27*z^4 + 
   (4*z^4)/a^2 + 49*a^2*z^4 - 18*a^4*z^4 + a^6*z^4 - 12*z^6 + z^6/a^2 + 
   27*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 1252] -> a^(-10) - 7/a^8 + 15/a^6 - 14/a^4 + 
   6/a^2 + (2*z^2)/a^10 - (16*z^2)/a^8 + (39*z^2)/a^6 - (35*z^2)/a^4 + 
   (11*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + (42*z^4)/a^6 - (34*z^4)/a^4 + 
   (6*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1253] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 + (6*z^4)/a^6 - (18*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1254] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 1255] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1256] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   9*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1257] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 1258] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1259] -> 
  -4 + 15*a^2 - 16*a^4 + 7*a^6 - a^8 - 8*z^2 + 34*a^2*z^2 - 41*a^4*z^2 + 
   18*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 31*a^2*z^4 - 45*a^4*z^4 + 17*a^6*z^4 - 
   a^8*z^4 - z^6 + 13*a^2*z^6 - 26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 1260] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (11*z^2)/a^4 + z^2/a^2 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1261] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 19*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1262] -> 3 - 2/a^8 + 4/a^6 - 4/a^2 + 4*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (10*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 1263] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   (3*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^2 - z^4 - (3*z^4)/a^6 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 1264] -> 
  2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 1265] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   9*z^2 - z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 1266] -> 6 - 2/a^2 - 2*a^2 - 4*a^4 + 4*a^6 - a^8 + 
   11*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   8*z^4 - z^4/a^2 - 6*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 1267] -> 
  -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 1268] -> a^(-14) - 6/a^12 + 11/a^10 - 8/a^8 + 
   3/a^4 - (7*z^2)/a^12 + (23*z^2)/a^10 - (19*z^2)/a^8 + (7*z^2)/a^4 - 
   z^4/a^12 + (16*z^4)/a^10 - (20*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 1269] -> -8 - a^(-6) + 6/a^2 + 5*a^2 - 
   a^4 - 15*z^2 - z^2/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   10*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1270] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 1271] -> 5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1272] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - 
   a^2 + a^4 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 1273] -> 
  -10 - 2/a^4 + 8/a^2 + 5*a^2 + a^4 - a^6 - 21*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 1274] -> -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 
   3/a^4 - z^2/a^12 + (12*z^2)/a^10 - (38*z^2)/a^8 + (42*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^4)/a^10 - (34*z^4)/a^8 + (46*z^4)/a^6 - (12*z^4)/a^4 + 
   z^6/a^10 - (14*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 1275] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1276] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1277] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 1278] -> 
  -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 23*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (23*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (28*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1279] -> -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 - 
   (4*z^2)/a^8 + (21*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 - (3*z^4)/a^8 + 
   (16*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 1280] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1281] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 - (3*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 1282] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1283] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1284] -> 
  -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 5*z^2 + 21*a^2*z^2 - 24*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 15*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 1285] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1286] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 1287] -> 
  2/a^10 - 11/a^8 + 17/a^6 - 10/a^4 + 3/a^2 + z^2/a^10 - (17*z^2)/a^8 + 
   (43*z^2)/a^6 - (32*z^2)/a^4 + (10*z^2)/a^2 - (8*z^4)/a^8 + (39*z^4)/a^6 - 
   (40*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (15*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 1288] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1289] -> 
  -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 9*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1290] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1291] -> a^(-12) - 5/a^10 + 5/a^8 + 2/a^6 - 5/a^4 + 
   3/a^2 - (6*z^2)/a^10 + (14*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 1292] -> 
  4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 1293] -> 
  -1 + a^(-8) - 3/a^6 + 3/a^4 + a^2 - 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 1294] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 6*z^2 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   2*z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 1295] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 9/a^8 + a^(-6) + 3/a^4 - (6*z^2)/a^12 + 
   (21*z^2)/a^10 - (21*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - z^4/a^12 + 
   (15*z^4)/a^10 - (21*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1296] -> -7 - a^(-6) + 5/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - z^2/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   9*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1297] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 1298] -> -13 - 2/a^4 + 7/a^2 + 15*a^2 - 6*a^4 - 
   35*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 37*a^2*z^2 - 11*a^4*z^2 - 40*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 35*a^2*z^4 - 6*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   14*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1299] -> 2/a^14 - 6/a^12 + 6/a^10 - 5/a^8 + 4/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (13*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - 
   (3*z^4)/a^12 + (11*z^4)/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + (3*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 1300] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 16*a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - z^6 + 
   6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1301] -> 
  1 - a^(-6) + 3/a^4 - 4/a^2 + 5*a^2 - 3*a^4 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 1302] -> a^(-14) - 2/a^12 - a^(-10) + 
   3/a^8 - 2/a^6 + 2/a^4 - (3*z^2)/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 + z^4/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[14, NonAlternating, 1303] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 1304] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (28*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1305] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 
   11/a^2 - 7*z^2 + (8*z^2)/a^6 - (24*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 1306] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1307] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1308] -> 
  2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1309] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 1310] -> 
  -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 15*z^2 + (2*z^2)/a^2 + 30*a^2*z^2 - 
   15*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + z^4/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 1311] -> -3 + 9*a^2 - 6*a^4 + a^6 - 14*z^2 + 
   (2*z^2)/a^2 + 28*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   34*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 1312] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1313] -> 
  -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 23*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (23*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (28*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1314] -> -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 - 
   (4*z^2)/a^8 + (21*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 - (3*z^4)/a^8 + 
   (16*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 1315] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1316] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 - (3*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 1317] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1318] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1319] -> 
  -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 5*z^2 + 21*a^2*z^2 - 24*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 15*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 1320] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1321] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 1322] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (21*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (28*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 1323] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   7*z^2 + (8*z^2)/a^6 - (24*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 1324] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1325] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1326] -> 
  2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1327] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 1328] -> 
  -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 15*z^2 + (2*z^2)/a^2 + 30*a^2*z^2 - 
   15*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + z^4/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 1329] -> -3 + 9*a^2 - 6*a^4 + a^6 - 14*z^2 + 
   (2*z^2)/a^2 + 28*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   34*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 1330] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1331] -> 
  a^(-10) - 7/a^8 + 12/a^6 - 8/a^4 + 3/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (35*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 - (7*z^4)/a^8 + (34*z^4)/a^6 - 
   (39*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (14*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 1332] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1333] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1334] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 1335] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 - z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1336] -> 
  -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 7*z^2 + 29*a^2*z^2 - 34*a^4*z^2 + 
   16*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 29*a^2*z^4 - 41*a^4*z^4 + 16*a^6*z^4 - 
   a^8*z^4 - z^6 + 13*a^2*z^6 - 25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 1337] -> 
  3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - (30*z^2)/a^8 + 
   (39*z^2)/a^6 - (10*z^2)/a^4 + (6*z^4)/a^10 - (29*z^4)/a^8 + (45*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1338] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 1339] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1340] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1341] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   8*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1342] -> 
  -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 23*z^2 + (4*z^2)/a^2 + 40*a^2*z^2 - 
   19*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 45*a^2*z^4 - 17*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + z^6/a^2 + 26*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 1343] -> 
  -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (31*z^2)/a^6 - (32*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (37*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1344] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1345] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 1346] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1347] -> -10 - 5/a^4 + 13/a^2 + 3*a^2 - 28*z^2 + 
   (2*z^2)/a^6 - (15*z^2)/a^4 + (36*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (41*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1348] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^10 - (11*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 1349] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 1350] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 3*z^2 + 12*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1351] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   36*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 20*a^2*z^2 - 3*a^4*z^2 - 43*z^4 - 
   (4*z^4)/a^4 + (26*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 26*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1352] -> -8 - 2/a^4 + 8/a^2 + 2*a^2 + a^4 - 
   18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1353] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (34*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (41*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1354] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1355] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 1356] -> -3 + 9*a^2 - 6*a^4 + a^6 - 
   6*z^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1357] -> 3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + 
   z^2/a^16 - z^2/a^14 - (14*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^4)/a^14 - (4*z^4)/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 1358] -> -1 - a^(-2) + 6*a^2 - 2*a^4 - 
   a^6 - z^2 - (2*z^2)/a^2 + 11*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + z^4 - 
   z^4/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 1359] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 1360] -> -7 - 2/a^6 + 2/a^4 + 5/a^2 + 3*a^2 - 
   14*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 1361] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + (3*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 1362] -> 3*a^2 - 3*a^4 + a^6 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 1363] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 1364] -> 
  -6 - 2/a^4 + 7/a^2 + 3*a^4 - a^6 - 12*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 10*z^4 - z^4/a^4 + (9*z^4)/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 1365] -> -3 - a^(-6) + 3/a^4 + a^2 + 
   a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1366] -> 3 - 3/a^8 + 8/a^6 - 5/a^4 - 2/a^2 + 
   4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 1367] -> 
  -a^(-12) + 3/a^10 - 7/a^6 + 6/a^4 + (4*z^2)/a^10 - (2*z^2)/a^8 - 
   (11*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 1368] -> 
  11 - 5/a^2 - 5*a^2 + 20*z^2 - z^2/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 - 
   7*a^2*z^2 + 14*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1369] -> 
  -5 - 3/a^6 + 6/a^4 + 3*a^2 - 9*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4, Knot[14, NonAlternating, 1370] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 5/a^6 + 3/a^4 + a^(-2) + (2*z^2)/a^10 + 
   z^2/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1371] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - 
   (6*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^8 + 
   (2*z^4)/a^4 - z^6/a^6, Knot[14, NonAlternating, 1372] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 1373] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + (3*z^2)/a^8 - (6*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 1374] -> -3 - a^(-4) + 4/a^2 + a^4 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 1375] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - z^4 + z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 1376] -> -a^2 + 5*a^4 - 3*a^6 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   z^6, Knot[14, NonAlternating, 1377] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 
   2*z^2 - 3*a^2*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 1378] -> -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - 
   a^6 - 4*z^2 - z^2/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 1379] -> 2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   6*z^4 - z^4/a^2 - 2*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 1380] -> 
  5 - a^(-8) + 4/a^6 - 3/a^4 - 3/a^2 - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1381] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (18*z^2)/a^4 - (8*z^2)/a^2 + 2*z^4 - 
   (5*z^4)/a^6 + (13*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1382] -> 
  7 - 2/a^2 - 4*a^2 - 2*a^4 + 2*a^6 + 9*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 1383] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (29*z^2)/a^10 - (29*z^2)/a^8 + (17*z^2)/a^6 - (7*z^4)/a^12 + 
   (32*z^4)/a^10 - (36*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - 
   (24*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 1384] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 9*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1385] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1386] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1387] -> 
  -8 - a^(-4) + 3/a^2 + 13*a^2 - 6*a^4 - 27*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 34*a^2*z^2 - 11*a^4*z^2 - 35*z^4 - z^4/a^4 + (16*z^4)/a^2 + 
   34*a^2*z^4 - 6*a^4*z^4 - 24*z^6 + (7*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 1388] -> 
  2/a^14 - 5/a^12 + 2/a^10 + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (10*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^4)/a^12 + (11*z^4)/a^10 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (3*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 1389] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 
   2*a^8 - 4*z^2 + 12*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   13*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 1390] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 
   3*a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 11*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 1391] -> 
  a^(-14) - 2/a^12 - a^(-8) + 3/a^6 - (3*z^2)/a^12 + (2*z^2)/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 + z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[14, NonAlternating, 1392] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 1393] -> 3 - 3/a^8 + 8/a^6 - 5/a^4 - 2/a^2 + 
   4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 1394] -> 
  -5 - 3/a^6 + 6/a^4 + 3*a^2 - 9*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4, Knot[14, NonAlternating, 1395] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 5/a^6 + 3/a^4 + a^(-2) + (2*z^2)/a^10 + 
   z^2/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1396] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + (3*z^2)/a^8 - (6*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 1397] -> -3 - a^(-4) + 4/a^2 + a^4 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 1398] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 2*z^2 - 3*a^2*z^2 - z^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 1399] -> 
  -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 4*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 1400] -> 
  2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 1401] -> 
  5 - a^(-8) + 4/a^6 - 3/a^4 - 3/a^2 - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1402] -> a^(-14) - 3/a^12 + 5/a^8 - 5/a^6 + 3/a^4 - 
   (5*z^2)/a^12 + (6*z^2)/a^10 + (8*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^12 + (8*z^4)/a^10 + (2*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1403] -> -1 - a^(-6) + 2/a^4 - a^(-2) + 4*a^2 - 
   2*a^4 - 4*z^2 - z^2/a^6 + (3*z^2)/a^4 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1404] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 1405] -> -14 + a^(-6) - 11/a^4 + 22/a^2 + 3*a^2 - 
   34*z^2 + (2*z^2)/a^6 - (22*z^2)/a^4 + (52*z^2)/a^2 + 7*a^2*z^2 - 31*z^4 + 
   z^4/a^6 - (18*z^4)/a^4 + (51*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (27*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1406] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^10 - (10*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 1407] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1408] -> -3 + 13*a^2 - 15*a^4 + 7*a^6 - a^8 - 
   5*z^2 + 24*a^2*z^2 - 32*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   16*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 1409] -> 
  -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 21*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1410] -> 
  -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 21*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1411] -> 
  -a^(-12) + 7/a^10 - 16/a^8 + 13/a^6 - 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (30*z^2)/a^8 + (31*z^2)/a^6 - (6*z^2)/a^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (27*z^4)/a^6 - (6*z^4)/a^4 - (5*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 1412] -> 
  -5*a^4 + 19*a^6 - 19*a^8 + 7*a^10 - a^12 - 15*a^4*z^2 + 52*a^6*z^2 - 
   39*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 16*a^4*z^4 + 56*a^6*z^4 - 
   30*a^8*z^4 + 4*a^10*z^4 - 7*a^4*z^6 + 31*a^6*z^6 - 10*a^8*z^6 - a^4*z^8 + 
   9*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 1413] -> 
  -12 + 2/a^2 + 22*a^2 - 13*a^4 + 2*a^6 - 30*z^2 + (5*z^2)/a^2 + 53*a^2*z^2 - 
   26*a^4*z^2 + 3*a^6*z^2 - 28*z^4 + (4*z^4)/a^2 + 53*a^2*z^4 - 20*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + z^6/a^2 + 28*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 1414] -> 
  -12 + 2/a^2 + 22*a^2 - 13*a^4 + 2*a^6 - 30*z^2 + (5*z^2)/a^2 + 53*a^2*z^2 - 
   26*a^4*z^2 + 3*a^6*z^2 - 28*z^4 + (4*z^4)/a^2 + 53*a^2*z^4 - 20*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + z^6/a^2 + 28*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 1415] -> 
  -6 - a^(-8) + 7/a^6 - 18/a^4 + 19/a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (18*z^2)/a^6 - (44*z^2)/a^4 + (42*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (17*z^4)/a^6 - (46*z^4)/a^4 + (36*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (14*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1416] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   z^2/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1417] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1418] -> 
  -8 + a^(-2) + 17*a^2 - 11*a^4 + 2*a^6 - 17*z^2 + (2*z^2)/a^2 + 36*a^2*z^2 - 
   20*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + z^4/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 1419] -> -4 - a^(-8) + 6/a^6 - 14/a^4 + 14/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (28*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 1420] -> -4 + 17*a^2 - 20*a^4 + 9*a^6 - a^8 - 
   8*z^2 + 37*a^2*z^2 - 49*a^4*z^2 + 21*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   32*a^2*z^4 - 50*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   27*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 1421] -> a^(-14) - 5/a^12 + 7/a^10 - 3/a^8 - 
   2/a^6 + 3/a^4 - (6*z^2)/a^12 + (15*z^2)/a^10 - (6*z^2)/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1422] -> 
  -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 1423] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 1424] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 1425] -> 8 - a^(-8) + 3/a^6 - 2/a^4 - 4/a^2 - 
   3*a^2 + 15*z^2 - z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (9*z^2)/a^2 - 
   4*a^2*z^2 + 10*z^4 + (5*z^4)/a^6 - (8*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 1426] -> a^(-12) - 3/a^10 + a^(-8) + 3/a^6 - 
   3/a^4 + 2/a^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 + (3*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 1427] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 1428] -> -6 - a^(-8) + 7/a^6 - 18/a^4 + 19/a^2 - 
   11*z^2 - (2*z^2)/a^8 + (18*z^2)/a^6 - (44*z^2)/a^4 + (42*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (17*z^4)/a^6 - (46*z^4)/a^4 + (36*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (26*z^6)/a^4 + (14*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 1429] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1430] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 1431] -> -8 + a^(-2) + 17*a^2 - 11*a^4 + 
   2*a^6 - 17*z^2 + (2*z^2)/a^2 + 36*a^2*z^2 - 20*a^4*z^2 + 3*a^6*z^2 - 
   12*z^4 + z^4/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 1432] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + (3*z^2)/a^16 - (9*z^2)/a^14 - 
   (16*z^2)/a^12 + (33*z^2)/a^10 + z^4/a^16 - (15*z^4)/a^14 + (2*z^4)/a^12 + 
   (46*z^4)/a^10 - (7*z^6)/a^14 + (14*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + 
   (7*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 1433] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 7*z^2 + 
   7*a^2*z^2 + 19*a^4*z^2 - 11*a^6*z^2 - 5*z^4 + 8*a^2*z^4 + 24*a^4*z^4 - 
   9*a^6*z^4 - z^6 + 5*a^2*z^6 + 12*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 
   2*a^4*z^8, Knot[14, NonAlternating, 1434] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - (12*z^2)/a^10 + (7*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^4)/a^12 - (13*z^4)/a^10 + (8*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^12 - (6*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 1435] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 + z^2/a^16 - (5*z^2)/a^14 - (6*z^2)/a^12 + (10*z^2)/a^10 + 
   (10*z^2)/a^8 - (5*z^4)/a^14 + z^4/a^12 + (18*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 1436] -> 
  -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 - z^2 - (2*z^2)/a^2 + 8*a^2*z^2 + 
   7*a^4*z^2 - 5*a^6*z^2 + z^4 - z^4/a^2 + 9*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 1437] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (5*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 1438] -> -a^(-16) + 8/a^14 - 18/a^12 + 12/a^10 + 
   z^2/a^16 + (4*z^2)/a^14 - (35*z^2)/a^12 + (40*z^2)/a^10 + z^4/a^16 - 
   (8*z^4)/a^14 - (15*z^4)/a^12 + (51*z^4)/a^10 - (6*z^6)/a^14 + 
   (7*z^6)/a^12 + (31*z^6)/a^10 - z^8/a^14 + (6*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 1439] -> 
  -4 + 7*a^2 + 2*a^4 - 5*a^6 + a^8 - 8*z^2 + 12*a^2*z^2 + 14*a^4*z^2 - 
   12*a^6*z^2 + a^8*z^2 - 5*z^4 + 10*a^2*z^4 + 20*a^4*z^4 - 9*a^6*z^4 - z^6 + 
   5*a^2*z^6 + 11*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 2*a^4*z^8, 
 Knot[14, NonAlternating, 1440] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^12 - 
   (10*z^4)/a^10 + (6*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 1441] -> 
  -a^(-12) + 8/a^10 - 20/a^8 + 18/a^6 - 4/a^4 - z^2/a^12 + (13*z^2)/a^10 - 
   (43*z^2)/a^8 + (48*z^2)/a^6 - (12*z^2)/a^4 + (7*z^4)/a^10 - (36*z^4)/a^8 + 
   (50*z^4)/a^6 - (13*z^4)/a^4 + z^6/a^10 - (14*z^6)/a^8 + (27*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1442] -> a^(-16) - 3/a^14 + 4/a^12 - 7/a^10 + 
   6/a^8 + z^2/a^16 - (7*z^2)/a^14 + (7*z^2)/a^12 - (9*z^2)/a^10 + 
   (17*z^2)/a^8 - (5*z^4)/a^14 + (8*z^4)/a^12 + z^4/a^10 + (17*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (4*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 1443] -> 
  3 - 2/a^2 + 2*a^4 - 2*a^6 + 4*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + z^6 + 
   2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 1444] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 1445] -> a^(-16) - 3/a^14 + 2/a^12 - 2/a^8 + 
   3/a^6 - (4*z^2)/a^14 + (4*z^2)/a^12 + z^2/a^10 + (7*z^2)/a^6 - z^4/a^14 + 
   (4*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 + 
   z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 1446] -> 
  1 - a^(-4) + a^(-2) - a^2 + 3*a^4 - 2*a^6 + 2*z^2 - z^2/a^4 + z^2/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 1447] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-2) + 
   z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   z^4/a^10, Knot[14, NonAlternating, 1448] -> -a^(-12) + 7/a^10 - 17/a^8 + 
   15/a^6 - 3/a^4 - z^2/a^12 + (12*z^2)/a^10 - (38*z^2)/a^8 + (42*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^4)/a^10 - (34*z^4)/a^8 + (46*z^4)/a^6 - (12*z^4)/a^4 + 
   z^6/a^10 - (14*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 1449] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1450] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1451] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 1452] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1453] -> -11 + 2/a^2 + 19*a^2 - 10*a^4 + a^6 - 
   28*z^2 + (5*z^2)/a^2 + 47*a^2*z^2 - 21*a^4*z^2 + 2*a^6*z^2 - 27*z^4 + 
   (4*z^4)/a^2 + 49*a^2*z^4 - 18*a^4*z^4 + a^6*z^4 - 12*z^6 + z^6/a^2 + 
   27*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 1454] -> -3 - 2/a^8 + 9/a^6 - 16/a^4 + 13/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (20*z^2)/a^6 - (42*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (46*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1455] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 
   3*a^4 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   12*z^4 + (6*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1456] -> 
  a^(-14) - 5/a^12 + 12/a^10 - 16/a^8 + 9/a^6 - (7*z^2)/a^12 + 
   (29*z^2)/a^10 - (43*z^2)/a^8 + (24*z^2)/a^6 - (2*z^4)/a^12 + 
   (26*z^4)/a^10 - (49*z^4)/a^8 + (22*z^4)/a^6 + (9*z^6)/a^10 - 
   (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 1457] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1458] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 4*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1459] -> a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 
   5/a^6 - (3*z^2)/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 1460] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1461] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 16*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1462] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 1463] -> a^(-14) - 5/a^12 + 10/a^10 - 
   9/a^8 + a^(-6) + 3/a^4 - (6*z^2)/a^12 + (21*z^2)/a^10 - (21*z^2)/a^8 + 
   z^2/a^6 + (7*z^2)/a^4 - z^4/a^12 + (15*z^4)/a^10 - (21*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 1464] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - z^2/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + 
   (9*z^2)/a^2 + (6*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1465] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 1466] -> -7 - a^(-6) + 5/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - z^2/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   9*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1467] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 1468] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 1469] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   6*a^2*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1470] -> 
  2/a^10 - 11/a^8 + 17/a^6 - 10/a^4 + 3/a^2 + z^2/a^10 - (17*z^2)/a^8 + 
   (43*z^2)/a^6 - (32*z^2)/a^4 + (10*z^2)/a^2 - (8*z^4)/a^8 + (39*z^4)/a^6 - 
   (40*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (15*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 1471] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1472] -> 
  -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 9*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1473] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1474] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1475] -> 
  -4 + 15*a^2 - 16*a^4 + 7*a^6 - a^8 - 8*z^2 + 34*a^2*z^2 - 41*a^4*z^2 + 
   18*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 31*a^2*z^4 - 45*a^4*z^4 + 17*a^6*z^4 - 
   a^8*z^4 - z^6 + 13*a^2*z^6 - 26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 1476] -> 
  a^(-10) - 7/a^8 + 15/a^6 - 14/a^4 + 6/a^2 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (39*z^2)/a^6 - (35*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (42*z^4)/a^6 - (34*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1477] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 
   3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1478] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1479] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1480] -> 
  -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 23*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (23*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (28*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1481] -> -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 - 
   (4*z^2)/a^8 + (21*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 - (3*z^4)/a^8 + 
   (16*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 1482] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1483] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 - (3*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 1484] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1485] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1486] -> 
  -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 5*z^2 + 21*a^2*z^2 - 24*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 15*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 1487] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1488] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 1489] -> 
  -13 - 2/a^4 + 7/a^2 + 15*a^2 - 6*a^4 - 35*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 37*a^2*z^2 - 11*a^4*z^2 - 40*z^4 - z^4/a^4 + (17*z^4)/a^2 + 
   35*a^2*z^4 - 6*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 1490] -> 
  2/a^14 - 6/a^12 + 6/a^10 - 5/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (13*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - (3*z^4)/a^12 + 
   (11*z^4)/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + (3*z^6)/a^10 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 1491] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 16*a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - z^6 + 
   6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1492] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (21*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (28*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 1493] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   7*z^2 + (8*z^2)/a^6 - (24*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 1494] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1495] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1496] -> 
  2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1497] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 1498] -> 
  -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 15*z^2 + (2*z^2)/a^2 + 30*a^2*z^2 - 
   15*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + z^4/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 1499] -> -3 + 9*a^2 - 6*a^4 + a^6 - 14*z^2 + 
   (2*z^2)/a^2 + 28*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   34*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 1500] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1501] -> 
  -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 23*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (23*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (28*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1502] -> -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 - 
   (4*z^2)/a^8 + (21*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 - (3*z^4)/a^8 + 
   (16*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 1503] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1504] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 - (3*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 1505] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1506] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1507] -> 
  -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 5*z^2 + 21*a^2*z^2 - 24*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 15*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 1508] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 1509] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 1510] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (21*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (28*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 1511] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   7*z^2 + (8*z^2)/a^6 - (24*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 1512] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1513] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 1514] -> 
  2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1515] -> 
  -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 15*z^2 + (2*z^2)/a^2 + 30*a^2*z^2 - 
   15*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + z^4/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 1516] -> -3 + 9*a^2 - 6*a^4 + a^6 - 14*z^2 + 
   (2*z^2)/a^2 + 28*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   34*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 1517] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1518] -> 
  a^(-14) - 6/a^12 + 11/a^10 - 8/a^8 + 3/a^4 - (7*z^2)/a^12 + (23*z^2)/a^10 - 
   (19*z^2)/a^8 + (7*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - (20*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 1519] -> 
  -8 - a^(-6) + 6/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*z^6 - z^6/a^2, Knot[14, NonAlternating, 1520] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 1521] -> 5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1522] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - 
   a^2 + a^4 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 1523] -> 
  -10 - 2/a^4 + 8/a^2 + 5*a^2 + a^4 - a^6 - 21*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 1524] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 
   2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   7*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 1525] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1526] -> 
  -8 - 2/a^4 + 6/a^2 + 7*a^2 - a^4 - a^6 - 16*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 12*a^2*z^2 - a^6*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   7*a^2*z^4 + a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1527] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 
   2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1528] -> 
  3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 7*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1529] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   12*z^2 + z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 1530] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 
   18*z^2 - z^2/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 1531] -> 1 + 2/a^10 - 8/a^8 + 10/a^6 - 
   4/a^4 + 2*z^2 + z^2/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (12*z^2)/a^4 + 
   z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 1532] -> 
  5 - a^(-4) - 5*a^2 + 3*a^4 - a^6 + 10*z^2 - z^2/a^4 - 11*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 1533] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + z^2/a^12 - (9*z^2)/a^10 + (12*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^4)/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1534] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   5*a^4*z^2 + 20*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 4*a^4*z^4 + 16*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 1535] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + (4*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 1536] -> -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 8*z^2 + 
   17*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 14*a^2*z^4 + 
   6*a^4*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + 5*a^4*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 1537] -> 2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (7*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1538] -> 10 - 5/a^2 - 3*a^2 - a^4 + 20*z^2 - 
   (9*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 16*z^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1539] -> -a^2 + 4*a^4 - 2*a^6 + a^8 - a^10 - 
   2*a^2*z^2 + 7*a^4*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 4*a^4*z^4 + 
   2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 1540] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   z^2/a^12 - (2*z^2)/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 1541] -> 4 - 2/a^2 - 2*a^2 + 2*a^4 - 
   a^8 + 6*z^2 - (3*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 4*a^4*z^4 + z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 1542] -> a^(-12) - 2/a^10 - a^(-8) + 3/a^6 - 
   a^(-4) + a^(-2) - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 1543] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 3*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 1544] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + (4*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 1545] -> -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + 
   a^10 - 3*a^2*z^2 + 6*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 
   7*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 1546] -> 
  3/a^14 - 7/a^12 + a^(-10) + 4/a^8 + z^2/a^16 - (13*z^2)/a^12 + 
   (7*z^2)/a^10 + (13*z^2)/a^8 - (2*z^4)/a^14 - (6*z^4)/a^12 + 
   (12*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 1547] -> 1 - a^(-4) + 4*a^2 - 3*a^4 + 
   6*z^2 - z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 8*z^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 1548] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 2/a^8 + 2/a^4 - (3*z^2)/a^12 + (6*z^2)/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1549] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 1550] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 1551] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (6*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 1552] -> -5 + 3/a^2 + 3*a^2 - 5*z^2 + 
   z^2/a^2 + a^2*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 1553] -> 
  2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 1554] -> a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 - 
   a^(-6) + 3/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1555] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 + 
   3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   4*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 1556] -> 
  -a^(-16) + 6/a^14 - 9/a^12 + 5/a^8 + (5*z^2)/a^14 - (16*z^2)/a^12 + 
   (2*z^2)/a^10 + (16*z^2)/a^8 - (7*z^4)/a^12 + (4*z^4)/a^10 + (18*z^4)/a^8 + 
   (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 1557] -> 
  -1 - 4/a^4 + 7/a^2 - a^2 + z^2 - z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1558] -> 1 + 2/a^10 - 7/a^8 + 6/a^6 + a^(-4) - 
   2/a^2 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1559] -> 5*a^2 - 11*a^4 + 11*a^6 - 4*a^8 + 
   11*a^2*z^2 - 27*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 
   27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 1560] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (28*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 1561] -> 
  -8 - 2/a^4 + 5/a^2 + 11*a^2 - 5*a^4 - 17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   25*a^2*z^2 - 9*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1562] -> a^(-14) - 4/a^12 + 8/a^10 - 11/a^8 + 
   7/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - (25*z^2)/a^8 + (17*z^2)/a^6 - 
   z^4/a^12 + (13*z^4)/a^10 - (23*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 1563] -> -4 + 2/a^6 - 11/a^4 + 15/a^2 - a^2 - 
   8*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + (34*z^2)/a^2 - 2*a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 1564] -> 
  -a^(-16) + 8/a^14 - 16/a^12 + 8/a^10 + 2/a^8 + (9*z^2)/a^14 - 
   (35*z^2)/a^12 + (27*z^2)/a^10 + (7*z^2)/a^8 + (2*z^4)/a^14 - 
   (24*z^4)/a^12 + (33*z^4)/a^10 + (9*z^4)/a^8 - (5*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1565] -> -5 + 13*a^2 - 9*a^4 + 3*a^6 - a^8 - 
   10*z^2 + 28*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   24*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 1566] -> 3/a^10 - 11/a^8 + 12/a^6 - 4/a^4 + 
   a^(-2) + (3*z^2)/a^10 - (19*z^2)/a^8 + (29*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 1567] -> -12 - 3/a^4 + 10/a^2 + 7*a^2 - a^6 - 
   29*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   28*z^4 - z^4/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 1568] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 3*a^2*z^2 - 6*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 1569] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 1570] -> -a^(-6) + 2/a^4 - 2/a^2 + 5*a^2 - 3*a^4 - 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 1571] -> 2/a^14 - 4/a^12 - a^(-10) + 3/a^8 + 
   a^(-6) + (2*z^2)/a^14 - (10*z^2)/a^12 + (3*z^2)/a^10 + (9*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^4)/a^12 + (7*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 1572] -> 
  3 - 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - a^8 + 5*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 1573] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1574] -> 
  4 - a^(-2) - 5*a^2 + 4*a^4 - a^8 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   7*a^4*z^2 + 6*z^4 - z^4/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 1575] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 6/a^8 - 5/a^6 + 3/a^4 - (3*z^2)/a^12 + 
   (12*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + (8*z^4)/a^8 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1576] -> 3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1577] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1578] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 - z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1579] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1580] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1581] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   4*a^4*z^2 + 19*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 13*a^6*z^4 - 
   a^10*z^4 + 3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 1582] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 - 
   (6*z^2)/a^2 - z^4/a^8 - z^4/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4, Knot[14, NonAlternating, 1583] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 6*z^2 - 13*a^2*z^2 + 9*a^4*z^2 + 3*z^4 - 
   11*a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 1584] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   z^4/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 1585] -> -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 6*z^2 - 
   z^2/a^2 + 18*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 
   14*a^2*z^4 + z^6 + 4*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 1586] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 - (5*z^2)/a^10 + (11*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^10 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1587] -> 10 - 5/a^2 - 3*a^2 - a^4 + 17*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 11*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 1588] -> 4*a^2 - 9*a^4 + 10*a^6 - 
   4*a^8 + 12*a^2*z^2 - 28*a^4*z^2 + 23*a^6*z^2 - 4*a^8*z^2 + 9*a^2*z^4 - 
   30*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 1589] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (30*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (28*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 1590] -> 
  -6 - a^(-4) + 2/a^2 + 12*a^2 - 6*a^4 - 16*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   29*a^2*z^2 - 11*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 
   6*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1591] -> 5/a^14 - 14/a^12 + 9/a^10 + a^(-8) + 
   (7*z^2)/a^14 - (34*z^2)/a^12 + (31*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^4)/a^14 - (24*z^4)/a^12 + (37*z^4)/a^10 + (8*z^4)/a^8 - 
   (5*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1592] -> -4 + 10*a^2 - 7*a^4 + 4*a^6 - 2*a^8 - 
   10*z^2 + 27*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   25*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 1593] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (29*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (28*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 1594] -> -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 
   28*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 13*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 1595] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 
   4*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 1596] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 1597] -> 
  1 - a^(-4) + 4*a^2 - 3*a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 1598] -> 
  3/a^14 - 7/a^12 + a^(-10) + 4/a^8 + (2*z^2)/a^14 - (12*z^2)/a^12 + 
   (4*z^2)/a^10 + (13*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^12 + (7*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 1599] -> -a^(-2) + 4*a^2 - 2*a^4 + a^6 - a^8 + 
   4*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 1600] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 1601] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   4*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 1602] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - (3*z^2)/a^12 + (15*z^2)/a^10 - 
   (23*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + (16*z^4)/a^10 - (31*z^4)/a^8 + 
   (17*z^4)/a^6 + (7*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 1603] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 10*a^4*z^2 + 33*a^6*z^2 - 15*a^8*z^2 - 
   12*a^4*z^4 + 40*a^6*z^4 - 13*a^8*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 
   6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 1604] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (3*z^2)/a^16 - (4*z^2)/a^14 - (27*z^2)/a^12 + (38*z^2)/a^10 + z^4/a^16 - 
   (7*z^4)/a^14 - (19*z^4)/a^12 + (54*z^4)/a^10 - (2*z^6)/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 1605] -> -4 - a^(-2) + 13*a^2 - 7*a^4 - 9*z^2 - 
   (3*z^2)/a^2 + 36*a^2*z^2 - 16*a^4*z^2 - 9*z^4 - z^4/a^2 + 43*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 1606] -> 2/a^14 - 6/a^12 + 6/a^10 - 
   5/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + (17*z^2)/a^10 - (17*z^2)/a^8 + 
   (14*z^2)/a^6 - (3*z^4)/a^12 + (19*z^4)/a^10 - (27*z^4)/a^8 + 
   (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 1607] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 1608] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   3*a^2*z^2 + 5*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 1609] -> 
  a^(-16) - 5/a^12 + 2/a^10 + 3/a^8 + z^2/a^16 - (2*z^2)/a^14 - 
   (12*z^2)/a^12 + (11*z^2)/a^10 + (11*z^2)/a^8 - (2*z^4)/a^14 - 
   (6*z^4)/a^12 + (16*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 1610] -> 
  3 - 3/a^2 + 5*a^2 - 4*a^4 + 7*z^2 - z^2/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1611] -> a^(-14) - 2/a^12 + a^(-6) + a^(-4) - 
   (3*z^2)/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (6*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1612] -> 1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 + 
   4*z^2 - 13*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 
   11*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1613] -> -1 + a^(-8) - 5/a^6 + 7/a^4 - 2/a^2 + 
   a^2 - z^2 + z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + 
   z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1614] -> 
  8 - a^(-8) + 2/a^6 - 5/a^2 - 3*a^2 + 15*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1615] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - 
   z^2/a^10 + (8*z^2)/a^8 - (11*z^2)/a^6 + (8*z^2)/a^4 + (2*z^4)/a^10 + 
   z^4/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1616] -> -2*a^2 + 7*a^4 - 5*a^6 + 2*a^8 - a^10 - 
   5*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - 4*a^2*z^4 + 
   12*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 1617] -> 
  a^(-16) - 2/a^14 + 2/a^12 - 6/a^10 + 6/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (6*z^2)/a^10 + (17*z^2)/a^8 - (2*z^4)/a^14 - z^4/a^12 + (4*z^4)/a^10 + 
   (17*z^4)/a^8 + (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1618] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + z^2/a^10 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 1619] -> -1 + 3*a^2 - a^4 + a^8 - a^10 - 
   2*z^2 + 5*a^2*z^2 + 2*a^6*z^2 - z^4 + 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 1620] -> 
  a^(-16) - 2/a^14 + a^(-10) - 2/a^8 + 3/a^6 - (2*z^2)/a^14 - z^2/a^12 + 
   (3*z^2)/a^10 + (7*z^2)/a^6 + (4*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 1621] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 6*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 1622] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 6*z^2 + 
   19*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 15*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1623] -> 2 - a^(-4) + a^(-2) - a^2 - z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1624] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1625] -> 
  1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^4, Knot[14, NonAlternating, 1626] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + 
   a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 1627] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^12 + 
   (4*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 1628] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - z^4 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1629] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1630] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1631] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^6 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1632] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1633] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1634] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 
   3*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 1635] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1636] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1637] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 1638] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1639] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - (3*z^2)/a^12 + (4*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1640] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (6*z^4)/a^2 - 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1641] -> -5 + 3/a^2 + 3*a^2 - 5*z^2 + z^2/a^2 + 
   a^2*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 1642] -> 2 - a^(-2) + 3*a^2 - 6*a^4 + 
   4*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 
   5*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 1643] -> a^(-14) - 4/a^12 + 6/a^10 - 
   4/a^8 - a^(-6) + 3/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1644] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 + 
   3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   4*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 1645] -> 
  -a^(-16) + 6/a^14 - 9/a^12 + 5/a^8 + (5*z^2)/a^14 - (16*z^2)/a^12 + 
   (2*z^2)/a^10 + (16*z^2)/a^8 - (7*z^4)/a^12 + (4*z^4)/a^10 + (18*z^4)/a^8 + 
   (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 1646] -> 
  -1 - 4/a^4 + 7/a^2 - a^2 + z^2 - z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1647] -> 1 + 2/a^10 - 7/a^8 + 6/a^6 + a^(-4) - 
   2/a^2 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1648] -> -1 - a^(-2) + 7*a^2 - 4*a^4 + z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 1649] -> a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 - 
   a^(-6) + 3/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1650] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (6*z^4)/a^2 - 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1651] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   5*z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1652] -> 5*a^2 - 11*a^4 + 11*a^6 - 
   4*a^8 + 11*a^2*z^2 - 27*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 
   27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 1653] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (28*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 1654] -> 
  -8 - 2/a^4 + 5/a^2 + 11*a^2 - 5*a^4 - 17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   25*a^2*z^2 - 9*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1655] -> a^(-14) - 4/a^12 + 8/a^10 - 11/a^8 + 
   7/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - (25*z^2)/a^8 + (17*z^2)/a^6 - 
   z^4/a^12 + (13*z^4)/a^10 - (23*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 1656] -> -4 + 2/a^6 - 11/a^4 + 15/a^2 - a^2 - 
   8*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + (34*z^2)/a^2 - 2*a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 1657] -> 
  -a^(-16) + 8/a^14 - 16/a^12 + 8/a^10 + 2/a^8 + (9*z^2)/a^14 - 
   (35*z^2)/a^12 + (27*z^2)/a^10 + (7*z^2)/a^8 + (2*z^4)/a^14 - 
   (24*z^4)/a^12 + (33*z^4)/a^10 + (9*z^4)/a^8 - (5*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1658] -> -5 + 13*a^2 - 9*a^4 + 3*a^6 - a^8 - 
   10*z^2 + 28*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   24*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 1659] -> 3/a^10 - 11/a^8 + 12/a^6 - 4/a^4 + 
   a^(-2) + (3*z^2)/a^10 - (19*z^2)/a^8 + (29*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 1660] -> -12 - 3/a^4 + 10/a^2 + 7*a^2 - a^6 - 
   29*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   28*z^4 - z^4/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 1661] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 15*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 
   5*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1662] -> 
  7 - 2/a^2 - 5*a^2 + a^6 + 11*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 + 
   9*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 4*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 1663] -> 
  4 + 3/a^4 - 6/a^2 + 3*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (12*z^2)/a^2 + 
   2*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1664] -> 
  -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (17*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1665] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - 
   z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1666] -> 
  1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + a^4 + 6*z^2 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1667] -> -a^(-12) + 2/a^10 + 2/a^8 - 8/a^6 + 
   6/a^4 + (2*z^2)/a^10 + (3*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^4 - 
   z^2/a^2 + z^4/a^8 - (11*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1668] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + z^2/a^10 - (10*z^2)/a^8 + (29*z^2)/a^6 - (30*z^2)/a^4 + 
   (11*z^2)/a^2 - (6*z^4)/a^8 + (27*z^4)/a^6 - (35*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^8 + (12*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 1669] -> 
  -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 31*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 
   21*a^2*z^2 - 4*a^4*z^2 - 38*z^4 - z^4/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 
   a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 1670] -> a^(-14) - 4/a^12 + 8/a^10 - 
   11/a^8 + 7/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - (25*z^2)/a^8 + 
   (17*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (23*z^4)/a^8 + (13*z^4)/a^6 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 1671] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 + 
   3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   4*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 1672] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (25*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (23*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 1673] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 7*z^2 - z^2/a^8 + (14*z^2)/a^6 - 
   (32*z^2)/a^4 + (27*z^2)/a^2 - 9*z^4 + (7*z^4)/a^6 - (31*z^4)/a^4 + 
   (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 1674] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (25*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 1675] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1676] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) - 
   z^2 + (5*z^2)/a^8 - (9*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 1677] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 1678] -> -3 - a^(-6) + 3/a^4 - a^(-2) + 4*a^2 - 
   a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 1679] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (27*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1680] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + (21*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 1681] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 1682] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 29*z^4 - z^4/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 1683] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (15*z^2)/a^10 - (16*z^2)/a^8 + (13*z^2)/a^6 - (4*z^4)/a^12 + 
   (16*z^4)/a^10 - (17*z^4)/a^8 + (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 1684] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 18*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 1685] -> -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + 
   a^(-4) - z^2/a^12 + (12*z^2)/a^10 - (29*z^2)/a^8 + (22*z^2)/a^6 - 
   (2*z^2)/a^4 + (7*z^4)/a^10 - (29*z^4)/a^8 + (28*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^10 - (13*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 1686] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (24*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 1687] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 1688] -> -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 
   4/a^4 + (5*z^2)/a^10 - (9*z^2)/a^8 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 1689] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 10*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 1690] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 1691] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (5*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1692] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1693] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1694] -> -6 + a^(-6) - 9/a^4 + 15/a^2 - 20*z^2 + 
   (2*z^2)/a^6 - (21*z^2)/a^4 + (43*z^2)/a^2 + 2*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (48*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (7*z^6)/a^4 + 
   (27*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1695] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (4*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 1696] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 1697] -> a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + 
   z^2/a^16 - (3*z^2)/a^14 - (18*z^2)/a^12 + (27*z^2)/a^10 + (4*z^2)/a^8 - 
   (4*z^4)/a^14 - (7*z^4)/a^12 + (33*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 1698] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 
   z^2 - (2*z^2)/a^2 + 5*a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 1699] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - 
   z^6/a^10 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1700] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 - (3*z^2)/a^14 - (4*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 1701] -> -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 + z^2 - 
   z^2/a^4 + 4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 1702] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 + z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1703] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (5*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1704] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1705] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 1706] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 1707] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1708] -> 
  -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1709] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1710] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1711] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 3*a^4*z^2 + 12*a^6*z^2 + 4*a^8*z^2 - 
   5*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 9*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 1712] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - 
   (2*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 1713] -> 
  -3 + 5*a^2 + a^4 - a^6 - a^8 - 7*z^2 + 10*a^2*z^2 + 10*a^4*z^2 - 
   3*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 11*a^2*z^4 + 14*a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 + 7*a^4*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 1714] -> a^(-12) - 2/a^10 + 2/a^4 - z^2/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 1715] -> 5 - a^(-4) - a^(-2) - a^2 - 
   a^4 + 9*z^2 - z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 8*z^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 1716] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1717] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1718] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + z^2 - z^2/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1719] -> 2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 8*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1720] -> -a^(-8) + 2/a^4 - z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^8 - (7*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1721] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1722] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 1723] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 1724] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 1725] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^10 - z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1726] -> 
  -a^2 + 3*a^4 - a^10 - 3*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 7*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 1727] -> a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 
   4/a^8 + z^2/a^16 - (3*z^2)/a^14 - (7*z^2)/a^12 + (5*z^2)/a^10 + 
   (13*z^2)/a^8 - (2*z^4)/a^14 - (4*z^4)/a^12 + (12*z^4)/a^10 + 
   (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1728] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1729] -> 
  2*a^4 - a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 + 5*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 1730] -> a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + 
   a^(-4) - (3*z^2)/a^12 + (9*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 + (8*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 1731] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 7*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1732] -> 1 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1733] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 1734] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 1735] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1736] -> 
  1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 2/a^2 + 2*z^2 - z^2/a^8 - z^2/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1737] -> 1 - a^(-6) + 2/a^2 - a^2 + 5*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1738] -> -a^4 + 4*a^6 - 2*a^10 - 
   4*a^4*z^2 + 14*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 - 4*a^4*z^4 + 14*a^6*z^4 + 
   8*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 1739] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 + (3*z^4)/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 1740] -> -2 + 2*a^2 + 3*a^4 - 2*a^8 - 7*z^2 + 
   9*a^2*z^2 + 10*a^4*z^2 - 3*a^8*z^2 - 5*z^4 + 12*a^2*z^4 + 12*a^4*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 + 6*a^4*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 1741] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + 
   a^(-4) + z^2/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^4 + z^4/a^10 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1742] -> 
  7 - 4/a^2 - 2*a^4 + 15*z^2 - (8*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 14*z^4 - 
   (5*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 6*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 1743] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - a^2*z^2 + a^4*z^2 + 10*a^6*z^2 - 2*a^10*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 1744] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 1745] -> 
  -3 + 5*a^2 + a^4 - a^6 - a^8 - 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 + 4*a^4*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 1746] -> 
  a^(-12) - 2/a^10 + 2/a^4 - z^2/a^10 + z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 1747] -> 5 - a^(-4) - a^(-2) - a^2 - 
   a^4 + 9*z^2 - (2*z^2)/a^4 - 2*a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 1748] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 1749] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 1750] -> -3 - a^(-4) + 2/a^2 + 5*a^2 - 
   a^4 - a^6 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - a^6*z^2 - 
   11*z^4 - z^4/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1751] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1752] -> 3 + a^(-6) - 3/a^2 - z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 1753] -> 3 + a^(-6) - 3/a^2 - z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 1754] -> 2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 
   z^6/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1755] -> 3 - a^(-2) - 2*a^4 + a^6 - z^2 + 
   4*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1756] -> 
  1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1757] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 1758] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 1759] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1760] -> 
  -2 - 2/a^6 + 4/a^4 + a^4 - 2*z^2 + (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 1761] -> -2 - 2/a^6 + 4/a^4 + a^4 - 2*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^4 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 1762] -> 3*a^6 - a^8 - a^10 - a^4*z^2 + 
   10*a^6*z^2 - 2*a^10*z^2 - a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 1763] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (5*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 1764] -> 
  -a^(-2) + 3*a^2 - a^8 - z^2 - (2*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 
   a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 + 2*a^4*z^4 + z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 1765] -> a^(-12) - 3/a^10 + 3/a^8 - 
   2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1766] -> 4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 1767] -> -2/a^6 + 3/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 1768] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 1769] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1770] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1771] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (10*z^2)/a^4 + z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 1772] -> 1 - a^(-4) + a^(-2) + a^4 - a^6 + 7*z^2 - 
   z^2/a^4 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1773] -> a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + 
   a^(-4) - (2*z^2)/a^12 - (3*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1774] -> -2/a^6 + 3/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 1775] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 1776] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1777] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 
   10*a^2*z^2 - 23*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 8*a^2*z^4 - 
   26*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 1778] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (23*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (24*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 1779] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   19*a^2*z^2 - 7*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1780] -> 4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + 
   (6*z^2)/a^14 - (29*z^2)/a^12 + (25*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^4)/a^14 - (22*z^4)/a^12 + (33*z^4)/a^10 + (9*z^4)/a^8 - 
   (5*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1781] -> -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 10*z^2 + 
   25*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 24*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 1782] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (25*z^2)/a^2 - 8*z^4 + z^4/a^6 - (13*z^4)/a^4 + (26*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 1783] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (25*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 1784] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (18*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + (15*z^4)/a^10 - (30*z^4)/a^8 + 
   (17*z^4)/a^6 + (7*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 1785] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 9*a^4*z^2 + 29*a^6*z^2 - 10*a^8*z^2 - 
   a^10*z^2 - 12*a^4*z^4 + 39*a^6*z^4 - 12*a^8*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 
   6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 1786] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   (3*z^2)/a^16 - (7*z^2)/a^14 - (21*z^2)/a^12 + (36*z^2)/a^10 + z^4/a^16 - 
   (7*z^4)/a^14 - (17*z^4)/a^12 + (54*z^4)/a^10 - (2*z^6)/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 1787] -> -2/a^2 + 8*a^2 - 5*a^4 - 6*z^2 - 
   (3*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 - 9*z^4 - z^4/a^2 + 41*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 1788] -> a^(-14) - 2/a^12 + a^(-10) - 
   3/a^8 + 4/a^6 + z^2/a^14 - (6*z^2)/a^12 + (11*z^2)/a^10 - (15*z^2)/a^8 + 
   (14*z^2)/a^6 - (3*z^4)/a^12 + (17*z^4)/a^10 - (27*z^4)/a^8 + 
   (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 1789] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1790] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 2*a^2*z^2 + a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 1791] -> 
  a^(-16) + a^(-14) - 9/a^12 + 7/a^10 + a^(-8) + z^2/a^16 - (2*z^2)/a^14 - 
   (15*z^2)/a^12 + (17*z^2)/a^10 + (9*z^2)/a^8 - (2*z^4)/a^14 - 
   (6*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 1792] -> 
  -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 + z^2 - z^2/a^4 - z^2/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1793] -> a^(-14) - 3/a^12 + 4/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - (3*z^2)/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1794] -> -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + a^2*z^2 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 1795] -> -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 1796] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1797] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 9*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1798] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + (3*z^2)/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + (12*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^8 - (6*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1799] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1800] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - 
   4*a^2*z^2 + 10*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - a^10*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 1801] -> 
  2/a^16 - 4/a^14 + 3/a^8 + z^2/a^16 - (6*z^2)/a^14 - (2*z^2)/a^12 + 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (2*z^4)/a^14 - z^4/a^12 + (10*z^4)/a^10 + 
   (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1802] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 1803] -> 
  -a^2 + 3*a^4 - a^10 - z^2 + 7*a^4*z^2 + a^6*z^2 - z^4 + a^2*z^4 + 
   5*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 1804] -> a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 
   4/a^8 - (2*z^2)/a^14 - (3*z^2)/a^12 + z^2/a^10 + (10*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 1805] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 1806] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1807] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 2*z^2 + 
   4*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 - a^2*z^6 - 3*a^4*z^6, 
 Knot[14, NonAlternating, 1808] -> a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 1809] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 1810] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - a^2*z^2 - 
   a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + a^4*z^6 + 3*a^6*z^6, 
 Knot[14, NonAlternating, 1811] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 1812] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   8*z^2 - z^2/a^6 + (6*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 1813] -> 4/a^14 - 11/a^12 + 6/a^10 + 
   2/a^8 + (3*z^2)/a^14 - (19*z^2)/a^12 + (15*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - (8*z^4)/a^12 + (15*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 1814] -> 
  -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 3*z^2 - (2*z^2)/a^2 + 17*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 1815] -> 6 - 3/a^2 - a^2 - a^4 + 7*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 1816] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1817] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1818] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 4*z^2 + 16*a^2*z^2 - 16*a^4*z^2 + 
   6*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 1819] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1820] -> -1 - a^(-8) + 4/a^6 - 9/a^4 + 9/a^2 - 
   a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 
   2*a^2*z^2 + (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1821] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (17*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + 
   (12*z^4)/a^10 - (16*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - 
   (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1822] -> -9 - 3/a^4 + 9/a^2 + 4*a^2 + a^4 - a^6 - 
   20*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   18*z^4 - z^4/a^4 + (12*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 - z^8, Knot[14, NonAlternating, 1823] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (13*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1824] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + z^2 + 5*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 1825] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - (5*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 1826] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   a^2*z^2 - 2*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 1827] -> 
  4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + z^2/a^16 + z^2/a^14 - (20*z^2)/a^12 + 
   (18*z^2)/a^10 + (9*z^2)/a^8 - (2*z^4)/a^14 - (9*z^4)/a^12 + 
   (20*z^4)/a^10 + (13*z^4)/a^8 + (9*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 1828] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 
   3*a^4 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + 
   z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 1829] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - (4*z^2)/a^12 + 
   (13*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - 
   (12*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1830] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 5*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1831] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 + 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1832] -> 3 - 2/a^8 + 4/a^6 - 4/a^2 + 4*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (9*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1833] -> 
  4*a^6 - 3*a^8 + 8*a^6*z^2 - 2*a^10*z^2 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 1834] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1835] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1836] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (10*z^2)/a^4 + z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 1837] -> 1 - a^(-4) + a^(-2) + a^4 - a^6 + 7*z^2 - 
   z^2/a^4 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1838] -> a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + 
   a^(-4) - (2*z^2)/a^12 - (3*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1839] -> 3*a^6 - a^8 - a^10 - a^4*z^2 + 
   10*a^6*z^2 - 2*a^10*z^2 - a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 1840] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (5*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 1841] -> 
  -a^(-2) + 3*a^2 - a^8 - z^2 - (2*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 
   a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 + 2*a^4*z^4 + z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 1842] -> a^(-12) - 3/a^10 + 3/a^8 - 
   2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1843] -> 4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 1844] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 1845] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 + (3*z^2)/a^6 - (5*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 1846] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (13*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1847] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + z^2 + 5*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 1848] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - (5*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 1849] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   a^2*z^2 - 2*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 1850] -> 
  4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + z^2/a^16 + z^2/a^14 - (20*z^2)/a^12 + 
   (18*z^2)/a^10 + (9*z^2)/a^8 - (2*z^4)/a^14 - (9*z^4)/a^12 + 
   (20*z^4)/a^10 + (13*z^4)/a^8 + (9*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 1851] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 
   3*a^4 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + 
   z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 1852] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - (4*z^2)/a^12 + 
   (13*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - 
   (12*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1853] -> 1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1854] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   2*z^2 + a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 1855] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 1856] -> -5 - a^(-6) + a^(-4) + 2/a^2 + 7*a^2 - 
   3*a^4 - 7*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   3*z^4 + (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 1857] -> 3/a^14 - 8/a^12 + 4/a^10 + 
   a^(-8) + a^(-6) + (2*z^2)/a^14 - (13*z^2)/a^12 + (9*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - (5*z^4)/a^12 + (9*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 1858] -> -1 - a^(-2) + 7*a^2 - 5*a^4 + 2*a^6 - 
   a^8 + 2*z^2 - (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 1859] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   3*z^2 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1860] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 7*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 1861] -> 
  a^(-14) - 3/a^12 + 2/a^10 + a^(-8) - 3/a^6 + 3/a^4 - (3*z^2)/a^12 + 
   (3*z^2)/a^10 + (6*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 1862] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1863] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1864] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1865] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - z^4 + 7*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1866] -> -a^(-4) + 2/a^2 + 4*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 1867] -> 
  a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 1868] -> -a^(-4) + 2/a^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 1869] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + 
   2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1870] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 1871] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 1872] -> 
  2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 1873] -> 
  -6 - 3/a^4 + 8/a^2 + a^2 + 2*a^4 - a^6 - 14*z^2 - (4*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^4*z^2 - a^6*z^2 - 14*z^4 - z^4/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1874] -> 2 + a^(-10) - 4/a^8 + 4/a^6 + a^(-4) - 
   3/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 - (2*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1875] -> 
  -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 + 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1876] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 
   2/a^4 - (3*z^2)/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^4)/a^10 + (5*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1877] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - 
   a^2 + 5*z^2 + z^2/a^6 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1878] -> a^(-14) - 4/a^12 + 6/a^10 - 
   5/a^8 + a^(-6) + 2/a^4 - (5*z^2)/a^12 + (14*z^2)/a^10 - (12*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - (14*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 1879] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1880] -> 
  -2 + 2/a^2 + a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 1881] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   3*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1882] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - 
   a^8 + 7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 1883] -> a^(-14) - 4/a^12 + 5/a^10 - a^(-8) - 
   4/a^6 + 4/a^4 - (4*z^2)/a^12 + (9*z^2)/a^10 - (11*z^2)/a^6 + (9*z^2)/a^4 + 
   (5*z^4)/a^10 - (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 1884] -> 
  4 - 2/a^8 + 5/a^6 - 3/a^4 - 2/a^2 - a^2 + 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 1885] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1886] -> 
  -8 + 3/a^2 + 9*a^2 - 3*a^4 - 17*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 1887] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 1888] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1889] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 1890] -> 
  -1 - a^(-8) + 4/a^6 - 9/a^4 + 9/a^2 - a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (15*z^4)/a^2 - a^2*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1891] -> a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 
   4/a^6 + a^(-4) - (5*z^2)/a^12 + (15*z^2)/a^10 - (17*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - (16*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 1892] -> 
  -9 - 3/a^4 + 9/a^2 + 4*a^2 + a^4 - a^6 - 20*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 - a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1893] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   4*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1894] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 1895] -> -5 - 2/a^4 + 5/a^2 + 4*a^2 - a^6 - 
   10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1896] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1897] -> 
  3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 2*z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 1898] -> 
  a^(-14) - 4/a^12 + 5/a^10 - a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^12 + 
   (9*z^2)/a^10 - (11*z^2)/a^6 + (9*z^2)/a^4 + (5*z^4)/a^10 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1899] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 1900] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1901] -> 1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1902] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 1903] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   4*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 1904] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 1905] -> -5 - 2/a^4 + 5/a^2 + 4*a^2 - a^6 - 
   10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 1906] -> 
  7 - 2/a^2 - 6*a^2 + a^4 + 2*a^6 - a^8 + 13*z^2 - (3*z^2)/a^2 - 14*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 9*z^4 - z^4/a^2 - 13*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - 6*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 1907] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (25*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 1908] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 
   15*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1909] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (25*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 1910] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 
   15*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1911] -> 
  -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 23*z^2 + (2*z^2)/a^6 - 
   (16*z^2)/a^4 + (35*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (36*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1912] -> 4/a^10 - 14/a^8 + 14/a^6 - 3/a^4 + 
   (5*z^2)/a^10 - (28*z^2)/a^8 + (38*z^2)/a^6 - (10*z^2)/a^4 + (2*z^4)/a^10 - 
   (22*z^4)/a^8 + (42*z^4)/a^6 - (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1913] -> -4 - a^(-2) + 15*a^2 - 11*a^4 + 2*a^6 - 
   8*z^2 - (2*z^2)/a^2 + 34*a^2*z^2 - 21*a^4*z^2 + 3*a^6*z^2 - 5*z^4 - 
   z^4/a^2 + 31*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - z^6 + 13*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 1914] -> 
  -a^(-16) + 6/a^14 - 9/a^12 + 5/a^8 + (5*z^2)/a^14 - (16*z^2)/a^12 + 
   (2*z^2)/a^10 + (16*z^2)/a^8 - (7*z^4)/a^12 + (4*z^4)/a^10 + (18*z^4)/a^8 + 
   (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 1915] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (25*z^2)/a^8 + (25*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (23*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 1916] -> 
  -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 15*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 1917] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (29*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (32*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 1918] -> 2/a^10 - 9/a^8 + 12/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (18*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 1919] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1920] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (25*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 1921] -> 6 - a^(-8) + 2/a^6 - 4/a^2 - 2*a^2 + 
   11*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 1922] -> a^(-12) - 4/a^10 + 3/a^8 + 3/a^6 - 5/a^4 + 
   3/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 + (5*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 1923] -> 
  -4 - a^(-4) + 4/a^2 + 4*a^4 - 2*a^6 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 1924] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + z^2/a^10 - (10*z^2)/a^8 + (29*z^2)/a^6 - (30*z^2)/a^4 + 
   (11*z^2)/a^2 - (6*z^4)/a^8 + (27*z^4)/a^6 - (35*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^8 + (12*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 1925] -> 
  -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 31*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 
   21*a^2*z^2 - 4*a^4*z^2 - 38*z^4 - z^4/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - 
   a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 1926] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (25*z^2)/a^4 + (19*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 1927] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   7*z^2 - z^2/a^8 + (14*z^2)/a^6 - (32*z^2)/a^4 + (27*z^2)/a^2 - 9*z^4 + 
   (7*z^4)/a^6 - (31*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1928] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 1929] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 1930] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) - z^2 + (5*z^2)/a^8 - (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 1931] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 
   2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 1932] -> 
  -3 - a^(-6) + 3/a^4 - a^(-2) + 4*a^2 - a^4 - 6*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 1933] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - 
   3*z^2 - z^2/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 + 
   (6*z^4)/a^6 - (26*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 1934] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (24*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 1935] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 1936] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (23*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 + (6*z^4)/a^10 - (25*z^4)/a^8 + 
   (26*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 1937] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 19*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (26*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 1938] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (24*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (20*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 1939] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^8 + (22*z^4)/a^6 - 
   (28*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 1940] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (23*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 1941] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 1942] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) + (5*z^2)/a^10 - 
   (11*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 1943] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 1944] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 1945] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + z^2/a^16 - (3*z^2)/a^14 - 
   (18*z^2)/a^12 + (27*z^2)/a^10 + (4*z^2)/a^8 - (4*z^4)/a^14 - 
   (7*z^4)/a^12 + (33*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1946] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 1947] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - 
   z^6/a^10 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 1948] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 - (3*z^2)/a^14 - (4*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 1949] -> -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 + z^2 - 
   z^2/a^4 + 4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 1950] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 + z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 1951] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 1952] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 1953] -> -2/a^10 + a^(-8) + 2/a^6 + (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 + (10*z^4)/a^10 - (24*z^4)/a^8 + (16*z^4)/a^6 + 
   (6*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 1954] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 7*a^4*z^2 + 21*a^6*z^2 - 4*a^10*z^2 - 
   11*a^4*z^4 + 34*a^6*z^4 - 6*a^8*z^4 - a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 
   5*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 1955] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (4*z^2)/a^16 - (14*z^2)/a^14 - (10*z^2)/a^12 + (32*z^2)/a^10 + z^4/a^16 - 
   (10*z^4)/a^14 - (9*z^4)/a^12 + (52*z^4)/a^10 - (2*z^6)/a^14 - 
   (2*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 1956] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + z^2 - 
   (4*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 - 6*z^4 - z^4/a^2 + 33*a^2*z^4 - 
   12*a^4*z^4 - 5*z^6 + 24*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 1957] -> 2/a^12 - 4/a^10 - a^(-8) + 
   4/a^6 + z^2/a^12 - (11*z^2)/a^8 + (14*z^2)/a^6 + (9*z^4)/a^10 - 
   (25*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 1958] -> -a^(-10) - a^(-8) + 3/a^6 + (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1959] -> 
  -a^4 + 4*a^6 - 2*a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 1960] -> 2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (5*z^2)/a^14 - (9*z^2)/a^12 + (15*z^2)/a^10 + 
   (9*z^2)/a^8 - (2*z^4)/a^14 - (4*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + 
   (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1961] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 4*z^2 - 
   z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 1962] -> a^(-12) - a^(-10) - 3/a^8 + 
   3/a^6 + a^(-4) + (2*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1963] -> -3/a^8 + 4/a^6 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 1964] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 + 3*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 8*a^6*z^4 - 2*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 1965] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^16 - (3*z^2)/a^14 - (10*z^2)/a^12 + (11*z^2)/a^10 + (11*z^2)/a^8 - 
   (2*z^4)/a^14 - (4*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 1966] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 1967] -> 2/a^10 - 5/a^8 + 2/a^6 + 
   2/a^4 + (3*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 1968] -> -a^6 + 7*a^8 - 5*a^10 - 7*a^6*z^2 + 
   35*a^8*z^2 - 17*a^10*z^2 - 11*a^6*z^4 + 50*a^8*z^4 - 17*a^10*z^4 - 
   6*a^6*z^6 + 31*a^8*z^6 - 7*a^10*z^6 - a^6*z^8 + 9*a^8*z^8 - a^10*z^8 + 
   a^8*z^10, Knot[14, NonAlternating, 1969] -> a^(-12) - 6/a^10 + 6/a^8 + 
   (7*z^2)/a^12 - (25*z^2)/a^10 + (27*z^2)/a^8 + (11*z^4)/a^12 - 
   (35*z^4)/a^10 + (32*z^4)/a^8 + (6*z^6)/a^12 - (24*z^6)/a^10 + 
   (14*z^6)/a^8 + z^8/a^12 - (8*z^8)/a^10 + (2*z^8)/a^8 - z^10/a^10, 
 Knot[14, NonAlternating, 1970] -> -5*a^2 + 10*a^4 - a^6 - 3*a^8 - 
   20*a^2*z^2 + 42*a^4*z^2 - 4*a^6*z^2 - 7*a^8*z^2 - 21*a^2*z^4 + 
   58*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 - 8*a^2*z^6 + 36*a^4*z^6 - a^6*z^6 - 
   a^8*z^6 - a^2*z^8 + 10*a^4*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 1971] -> 5*a^8 - 4*a^10 - 2*a^4*z^2 + 6*a^6*z^2 + 
   14*a^8*z^2 - 8*a^10*z^2 - 3*a^4*z^4 + 9*a^6*z^4 + 14*a^8*z^4 - 
   5*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 1972] -> a^(-12) - 5/a^10 + 4/a^8 + 
   a^(-6) + (4*z^2)/a^12 - (11*z^2)/a^10 + (7*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^4)/a^12 - (10*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 + z^6/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 1973] -> -1 - 2*a^2 + 8*a^4 - 2*a^6 - 2*a^8 - 
   6*z^2 + 2*a^2*z^2 + 21*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   9*a^2*z^4 + 20*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + 
   8*a^4*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 1974] -> 
  a^6 + 3*a^8 - 3*a^10 - 2*a^4*z^2 + 8*a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 - 
   3*a^4*z^4 + 10*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 1975] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 + (3*z^4)/a^12 - 
   (7*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 1976] -> -2 + a^2 + 6*a^4 - 3*a^6 - a^8 - 7*z^2 + 
   7*a^2*z^2 + 16*a^4*z^2 - 5*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 11*a^2*z^4 + 
   16*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + 7*a^4*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 1977] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 1978] -> a^6 + 3*a^8 - 3*a^10 - a^2*z^2 + 
   2*a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   6*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 1979] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 1980] -> 
  -2 + a^2 + 6*a^4 - 3*a^6 - a^8 - 2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 + 
   10*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 + 
   6*a^4*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 1981] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 1982] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 1983] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 1984] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 1985] -> 3*a^6 - a^8 - a^10 - z^2 + 
   2*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 1986] -> a^(-16) - a^(-14) - 3/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) - (2*z^2)/a^14 - (4*z^2)/a^12 + (6*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^2)/a^6 + (6*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 1987] -> 
  -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - a^4 - z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 1988] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 1989] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 - a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 
   3*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 1990] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + (2*z^2)/a^12 - (5*z^2)/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 1991] -> 1 - a^(-2) - a^2 + 5*a^4 - 2*a^6 - a^8 + 
   3*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 + 6*a^4*z^4 + z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 1992] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^4 - z^4/a^6 - (5*z^4)/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 1993] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 1994] -> 
  2 - 3*a^4 + 2*a^6 - 2*z^2 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   3*z^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 - z^6, 
 Knot[14, NonAlternating, 1995] -> -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 1996] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 1997] -> -a^4 + 6*a^6 - 4*a^8 - 
   2*a^2*z^2 + 4*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 1998] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 1999] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - (4*z^2)/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 2000] -> 
  3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + (2*z^2)/a^14 - (13*z^2)/a^12 + 
   (6*z^2)/a^10 + (14*z^2)/a^8 - (5*z^4)/a^12 + (6*z^4)/a^10 + (18*z^4)/a^8 + 
   (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 2001] -> 
  -2 - 3/a^4 + 6/a^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   2*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2002] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   z^4/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2003] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2004] -> 
  -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (9*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (9*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 2005] -> -a^(-12) + 3/a^10 - a^(-8) - 3/a^6 + 
   a^(-4) + 2/a^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - (2*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 2006] -> -4 + 8*a^2 - a^4 - 2*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 2007] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 2008] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 2009] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - z^2 + a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 2010] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 - (2*z^2)/a^14 - (6*z^2)/a^12 + 
   (7*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + (6*z^4)/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 2011] -> -6 + 3/a^2 + 5*a^2 - a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2012] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2013] -> 2 - 2/a^8 + 6/a^6 - 7/a^4 + 
   3/a^2 - a^2 + 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2014] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 + (6*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2015] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 + z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 2016] -> 2*a^6 + a^8 - 2*a^10 + 3*a^6*z^2 + 
   12*a^8*z^2 - 7*a^10*z^2 + a^6*z^4 + 16*a^8*z^4 - 5*a^10*z^4 + 7*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 2017] -> 
  a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 
   4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 2018] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^4 - z^4/a^6 - (5*z^4)/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2019] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*z^6 - (2*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 2020] -> -3 - 2/a^4 + 5/a^2 + a^2 - z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2021] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 2022] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - (4*z^2)/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 2023] -> 
  1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2024] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2025] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 2026] -> -5 + 3/a^2 + 3*a^2 - 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2027] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 2028] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 2029] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (4*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^8 + (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2030] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2031] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 2032] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 2033] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 2034] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 + (2*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 5*z^4 + a^2*z^4 - z^6, Knot[14, NonAlternating, 2035] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   13*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2036] -> 3*a^6 - a^8 - a^10 + 5*a^6*z^2 + 
   7*a^8*z^2 - 5*a^10*z^2 + 2*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 6*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 2037] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 3*a^4*z^2 - a^6*z^2 + 7*a^8*z^2 - 
   3*a^10*z^2 + a^4*z^4 + 5*a^8*z^4 - a^10*z^4 + a^8*z^6, 
 Knot[14, NonAlternating, 2038] -> a^2 - a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 
   a^4*z^2 + 4*a^8*z^2 - a^10*z^2 + a^8*z^4, 
 Knot[14, NonAlternating, 2039] -> -2 - a^(-6) + 4/a^4 - 3/a^2 + 4*a^2 - 
   a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 2040] -> 
  8 - 2/a^2 - 8*a^2 + 3*a^4 + 15*z^2 + z^2/a^4 - (6*z^2)/a^2 - 15*a^2*z^2 + 
   4*a^4*z^2 + 11*z^4 + z^4/a^4 - (5*z^4)/a^2 - 10*a^2*z^4 + 2*a^4*z^4 + 
   4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 2041] -> 
  a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 + z^2/a^10 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 2042] -> 
  -2 - a^(-6) + 4/a^4 - 3/a^2 + 4*a^2 - a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 2043] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (25*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - 
   (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2044] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (17*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 2045] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 2046] -> 
  3/a^10 - 10/a^8 + 9/a^6 - a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (25*z^2)/a^8 + 
   (27*z^2)/a^6 - (5*z^2)/a^4 + (6*z^4)/a^10 - (25*z^4)/a^8 + (32*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (20*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2047] -> -2 + a^(-6) - 7/a^4 + 10/a^2 - a^2 - 
   9*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (27*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 2048] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 2049] -> 
  -5 - a^(-4) + 2/a^2 + 10*a^2 - 5*a^4 - 18*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 - 25*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   27*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 2050] -> 
  2/a^14 - 6/a^12 + 5/a^10 - 3/a^8 + 3/a^6 + z^2/a^14 - (11*z^2)/a^12 + 
   (18*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 - (4*z^4)/a^12 + 
   (18*z^4)/a^10 - (15*z^4)/a^8 + (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 2051] -> 
  -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + 15*a^2*z^2 - 17*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2052] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 2053] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 2054] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2055] -> -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 
   23*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + (35*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (36*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2056] -> 4/a^10 - 14/a^8 + 14/a^6 - 3/a^4 + 
   (5*z^2)/a^10 - (28*z^2)/a^8 + (38*z^2)/a^6 - (10*z^2)/a^4 + (2*z^4)/a^10 - 
   (22*z^4)/a^8 + (42*z^4)/a^6 - (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2057] -> -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + (25*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + (23*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2058] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (29*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (32*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2059] -> 2/a^10 - 9/a^8 + 12/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (18*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 2060] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 2061] -> 
  6 - a^(-8) + 2/a^6 - 4/a^2 - 2*a^2 + 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 2062] -> 
  a^(-12) - 4/a^10 + 3/a^8 + 3/a^6 - 5/a^4 + 3/a^2 - (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + (5*z^4)/a^8 - 
   z^4/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 2063] -> -4 - a^(-4) + 4/a^2 + 4*a^4 - 2*a^6 - 
   8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - z^6 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 2064] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 2065] -> 
  a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (26*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - 
   (24*z^4)/a^4 + (7*z^4)/a^2 + (5*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 2066] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   19*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 2067] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 
   2*a^4 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   25*z^4 - z^4/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 2068] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 
   6/a^6 + z^2/a^14 - (9*z^2)/a^12 + (20*z^2)/a^10 - (22*z^2)/a^8 + 
   (15*z^2)/a^6 - (4*z^4)/a^12 + (18*z^4)/a^10 - (21*z^4)/a^8 + 
   (12*z^4)/a^6 + (5*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 2069] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   5*z^2 + 20*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2070] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 
   10*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (25*z^2)/a^2 + a^2*z^2 - 16*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2071] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (24*z^2)/a^8 + (29*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (27*z^4)/a^6 - (6*z^4)/a^4 - (5*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2072] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 
   16*z^2 + (3*z^2)/a^2 + 29*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 25*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 2073] -> 
  -4 - a^(-6) + a^(-4) + 2/a^2 + 5*a^2 - 2*a^4 - 7*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 2074] -> a^(-14) - 4/a^12 + 5/a^10 - 
   2/a^8 - 2/a^6 + 3/a^4 - (4*z^2)/a^12 + (9*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 2075] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 2076] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - 3*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 + (6*z^4)/a^6 - (26*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 2077] -> 
  -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (24*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 2078] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - z^4/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2079] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (10*z^2)/a^10 - (23*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 + 
   (6*z^4)/a^10 - (25*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - 
   (12*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2080] -> 
  -8 - 5/a^4 + 12/a^2 + 2*a^2 - 19*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (29*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (26*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 2081] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (24*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (20*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 2082] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^8 + (22*z^4)/a^6 - 
   (28*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2083] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (23*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 2084] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 2085] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) + (5*z^2)/a^10 - 
   (11*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2086] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 2087] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 2088] -> 
  -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + a^(-4) - z^2/a^12 + (12*z^2)/a^10 - 
   (29*z^2)/a^8 + (22*z^2)/a^6 - (2*z^2)/a^4 + (7*z^4)/a^10 - (29*z^4)/a^8 + 
   (28*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2089] -> -5 - 4/a^4 + 9/a^2 + a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 2090] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 2091] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 + (5*z^2)/a^10 - (9*z^2)/a^8 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2092] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   10*z^2 + z^2/a^8 - (3*z^2)/a^6 + (12*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 2093] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 2094] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2095] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + (21*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2096] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 2097] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 29*z^4 - z^4/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 2098] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (15*z^2)/a^10 - (16*z^2)/a^8 + (13*z^2)/a^6 - (4*z^4)/a^12 + 
   (16*z^4)/a^10 - (17*z^4)/a^8 + (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 2099] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 18*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2100] -> 1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 + 
   4*z^2 - 13*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 
   11*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2101] -> -1 + a^(-8) - 5/a^6 + 7/a^4 - 2/a^2 + 
   a^2 - z^2 + z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + 
   z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 2102] -> 
  8 - a^(-8) + 2/a^6 - 5/a^2 - 3*a^2 + 15*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2103] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + 
   z^2/a^12 - (9*z^2)/a^10 + (12*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 2104] -> 
  5 - a^(-4) - 5*a^2 + 3*a^4 - a^6 + 10*z^2 - z^2/a^4 - 11*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 2105] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 6*z^2 + 19*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   4*z^4 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 2106] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + 
   a^2 - 12*z^2 + z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 2107] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 
   18*z^2 - z^2/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2108] -> 1 + 2/a^10 - 8/a^8 + 10/a^6 - 
   4/a^4 + 2*z^2 + z^2/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (12*z^2)/a^4 + 
   z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 2109] -> 
  -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - z^2/a^10 + (8*z^2)/a^8 - (11*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2110] -> -2*a^2 + 7*a^4 - 5*a^6 + 2*a^8 - a^10 - 
   5*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - 4*a^2*z^4 + 
   12*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 2111] -> 
  a^(-16) - 2/a^14 + 2/a^12 - 6/a^10 + 6/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (6*z^2)/a^10 + (17*z^2)/a^8 - (2*z^4)/a^14 - z^4/a^12 + (4*z^4)/a^10 + 
   (17*z^4)/a^8 + (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2112] -> 10 - 5/a^2 - 3*a^2 - a^4 + 20*z^2 - 
   (9*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 16*z^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2113] -> 2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (7*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2114] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2115] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   5*a^4*z^2 + 20*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 4*a^4*z^4 + 16*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 2116] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + (4*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 2117] -> -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 8*z^2 + 
   17*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 14*a^2*z^4 + 
   6*a^4*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + 5*a^4*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 2118] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^4 - z^4/a^6 - (5*z^4)/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2119] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 2120] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*z^6 - (2*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 2121] -> -3 - 2/a^4 + 5/a^2 + a^2 - z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2122] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 + 
   4*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 2123] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 2*z^6 - 
   3*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 2124] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (7*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 2125] -> 3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + 
   (2*z^2)/a^14 - (13*z^2)/a^12 + (6*z^2)/a^10 + (14*z^2)/a^8 - 
   (5*z^4)/a^12 + (6*z^4)/a^10 + (18*z^4)/a^8 + (2*z^6)/a^10 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[14, NonAlternating, 2126] -> 
  -2 - 3/a^4 + 6/a^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   2*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2127] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   z^4/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2128] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2129] -> 
  -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (9*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (9*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 2130] -> -4 + 8*a^2 - a^4 - 2*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 2131] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^4 - z^4/a^6 - (5*z^4)/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2132] -> 
  -5 + 3/a^2 + 3*a^2 - 5*z^2 + z^2/a^2 + a^2*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2133] -> -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 2134] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 2135] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 2136] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - (4*z^2)/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 2137] -> 
  1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2138] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2139] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (6*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 2140] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 
   3/a^2 - a^2 + 5*z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 2141] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 2142] -> -5 + 3/a^2 + 3*a^2 - 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2143] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 2144] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 2145] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (4*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^8 + (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2146] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2147] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 2148] -> 
  2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2149] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) - z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*z^4 - 
   (5*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2150] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 2151] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2152] -> a^(-10) - 6/a^8 + 10/a^6 - 
   7/a^4 + 3/a^2 + z^2/a^10 - (10*z^2)/a^8 + (26*z^2)/a^6 - (22*z^2)/a^4 + 
   (8*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - (24*z^4)/a^4 + (7*z^4)/a^2 + 
   (5*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 2153] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 2154] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - z^4/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 2155] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (20*z^2)/a^10 - (22*z^2)/a^8 + (15*z^2)/a^6 - (4*z^4)/a^12 + 
   (18*z^4)/a^10 - (21*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 2156] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   5*z^2 + 20*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2157] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 
   10*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (25*z^2)/a^2 + a^2*z^2 - 16*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2158] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (24*z^2)/a^8 + (29*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (27*z^4)/a^6 - (6*z^4)/a^4 - (5*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2159] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 
   16*z^2 + (3*z^2)/a^2 + 29*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 25*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 2160] -> 
  -4 - a^(-6) + a^(-4) + 2/a^2 + 5*a^2 - 2*a^4 - 7*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 2161] -> a^(-14) - 4/a^12 + 5/a^10 - 
   2/a^8 - 2/a^6 + 3/a^4 - (4*z^2)/a^12 + (9*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 2162] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 2163] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (29*z^2)/a^6 - (30*z^2)/a^4 + (11*z^2)/a^2 - (6*z^4)/a^8 + (27*z^4)/a^6 - 
   (35*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (21*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2164] -> -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 
   31*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 21*a^2*z^2 - 4*a^4*z^2 - 38*z^4 - 
   z^4/a^4 + (19*z^4)/a^2 + 19*a^2*z^4 - a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 2165] -> a^(-14) - 4/a^12 + 8/a^10 - 11/a^8 + 
   7/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - (25*z^2)/a^8 + (17*z^2)/a^6 - 
   z^4/a^12 + (13*z^4)/a^10 - (23*z^4)/a^8 + (13*z^4)/a^6 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 2166] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (25*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 2167] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + z^2/a^10 - (10*z^2)/a^8 + (29*z^2)/a^6 - (30*z^2)/a^4 + 
   (11*z^2)/a^2 - (6*z^4)/a^8 + (27*z^4)/a^6 - (35*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^8 + (12*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 2168] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 19*a^2*z^2 - 25*a^4*z^2 + 
   14*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 14*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 2169] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   7*z^2 - z^2/a^8 + (14*z^2)/a^6 - (32*z^2)/a^4 + (27*z^2)/a^2 - 9*z^4 + 
   (7*z^4)/a^6 - (31*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2170] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2171] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 2172] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2173] -> 4 - a^(-2) - 5*a^2 + 4*a^4 - a^8 + 8*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 + 6*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 2174] -> a^(-14) - 2/a^12 - 2/a^10 + 6/a^8 - 
   5/a^6 + 3/a^4 - (3*z^2)/a^12 + (12*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^4)/a^10 + (8*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 2175] -> 
  3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 7*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2176] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 
   2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 2177] -> 
  -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 2178] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 2179] -> -8 - 2/a^4 + 6/a^2 + 7*a^2 - a^4 - a^6 - 
   16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 2180] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - z^4 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2181] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2182] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2183] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^6 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2184] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2185] -> 1 + 3*a^2 - 8*a^4 + 7*a^6 - 2*a^8 + z^2 + 
   4*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 2186] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 2187] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 
   6*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 2188] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2189] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2190] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 2191] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2192] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - (3*z^2)/a^12 + (4*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 2193] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 
   10*a^2*z^2 - 23*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 8*a^2*z^4 - 
   26*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 2194] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (23*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (24*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 2195] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   19*a^2*z^2 - 7*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2196] -> 4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + 
   (6*z^2)/a^14 - (29*z^2)/a^12 + (25*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^4)/a^14 - (22*z^4)/a^12 + (33*z^4)/a^10 + (9*z^4)/a^8 - 
   (5*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2197] -> -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 10*z^2 + 
   25*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 24*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 2198] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (25*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - (27*z^4)/a^4 + 
   (7*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 2199] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (25*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (26*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 2200] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 2*z^2 + a^2*z^2 - 11*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 2201] -> 
  1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 2202] -> 
  -5 - a^(-6) + a^(-4) + 2/a^2 + 7*a^2 - 3*a^4 - 7*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 2203] -> 3/a^14 - 8/a^12 + 4/a^10 + a^(-8) + 
   a^(-6) + (2*z^2)/a^14 - (13*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^4)/a^12 + (9*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 2204] -> 
  -1 - a^(-2) + 7*a^2 - 5*a^4 + 2*a^6 - a^8 + 2*z^2 - (3*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2205] -> -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + a^2*z^2 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 2206] -> -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 2207] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 2208] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2209] -> 
  3 - a^(-2) - 2*a^4 + a^6 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2210] -> 1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2211] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 2212] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2213] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2214] -> 
  -9 + 4/a^2 + 8*a^2 - 2*a^4 - 17*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 10*z^4 + z^4/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2215] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2216] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2217] -> 1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2218] -> 3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2219] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2220] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 - z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2221] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2222] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2223] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2224] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + z^2 + 
   5*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 + z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 2225] -> a^(-10) - 5/a^8 + 7/a^6 - 
   4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - (5*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2226] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - a^2*z^2 - 
   2*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 2227] -> 4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + 
   z^2/a^16 + z^2/a^14 - (20*z^2)/a^12 + (18*z^2)/a^10 + (9*z^2)/a^8 - 
   (2*z^4)/a^14 - (9*z^4)/a^12 + (20*z^4)/a^10 + (13*z^4)/a^8 + 
   (9*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2228] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + z^4/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 2229] -> a^(-14) - 4/a^12 + 7/a^10 - 
   7/a^8 + 2/a^6 + 2/a^4 - (4*z^2)/a^12 + (13*z^2)/a^10 - (14*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 2230] -> 2 - a^(-4) + a^(-2) - a^2 - 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2231] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2232] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 2233] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2234] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - (3*z^2)/a^12 + (4*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 2235] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 2*z^2 + 
   4*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 - a^2*z^6 - 3*a^4*z^6, 
 Knot[14, NonAlternating, 2236] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 2237] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   a^2*z^2 - a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + a^4*z^6 + 3*a^6*z^6, 
 Knot[14, NonAlternating, 2238] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2239] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   8*z^2 - z^2/a^6 + (6*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 2240] -> 4/a^14 - 11/a^12 + 6/a^10 + 
   2/a^8 + (3*z^2)/a^14 - (19*z^2)/a^12 + (15*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - (8*z^4)/a^12 + (15*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 2241] -> 
  -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 3*z^2 - (2*z^2)/a^2 + 17*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2242] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2243] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2244] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 4*z^2 + 16*a^2*z^2 - 16*a^4*z^2 + 
   6*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 2245] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2246] -> -1 - a^(-8) + 4/a^6 - 9/a^4 + 9/a^2 - 
   a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 
   2*a^2*z^2 + (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2247] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (17*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + 
   (12*z^4)/a^10 - (16*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - 
   (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2248] -> -9 - 3/a^4 + 9/a^2 + 4*a^2 + a^4 - a^6 - 
   20*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   18*z^4 - z^4/a^4 + (12*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 - z^8, Knot[14, NonAlternating, 2249] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2250] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2251] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2252] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 4*z^2 + 16*a^2*z^2 - 16*a^4*z^2 + 
   6*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 2253] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2254] -> -1 - a^(-8) + 4/a^6 - 9/a^4 + 9/a^2 - 
   a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 
   2*a^2*z^2 + (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2255] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (17*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + 
   (12*z^4)/a^10 - (16*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - 
   (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2256] -> -9 - 3/a^4 + 9/a^2 + 4*a^2 + a^4 - a^6 - 
   20*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   18*z^4 - z^4/a^4 + (12*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 - z^8, Knot[14, NonAlternating, 2257] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 2258] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (18*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + (15*z^4)/a^10 - (30*z^4)/a^8 + 
   (17*z^4)/a^6 + (7*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 2259] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 9*a^4*z^2 + 29*a^6*z^2 - 10*a^8*z^2 - 
   a^10*z^2 - 12*a^4*z^4 + 39*a^6*z^4 - 12*a^8*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 
   6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 2260] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   (3*z^2)/a^16 - (7*z^2)/a^14 - (21*z^2)/a^12 + (36*z^2)/a^10 + z^4/a^16 - 
   (7*z^4)/a^14 - (17*z^4)/a^12 + (54*z^4)/a^10 - (2*z^6)/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 2261] -> -2/a^2 + 8*a^2 - 5*a^4 - 6*z^2 - 
   (3*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 - 9*z^4 - z^4/a^2 + 41*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 2262] -> a^(-14) - 2/a^12 + a^(-10) - 
   3/a^8 + 4/a^6 + z^2/a^14 - (6*z^2)/a^12 + (11*z^2)/a^10 - (15*z^2)/a^8 + 
   (14*z^2)/a^6 - (3*z^4)/a^12 + (17*z^4)/a^10 - (27*z^4)/a^8 + 
   (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 2263] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 2264] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 2*a^2*z^2 + a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 2265] -> 
  a^(-16) + a^(-14) - 9/a^12 + 7/a^10 + a^(-8) + z^2/a^16 - (2*z^2)/a^14 - 
   (15*z^2)/a^12 + (17*z^2)/a^10 + (9*z^2)/a^8 - (2*z^4)/a^14 - 
   (6*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 2266] -> 
  -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 + z^2 - z^2/a^4 - z^2/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2267] -> a^(-14) - 3/a^12 + 4/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - (3*z^2)/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2268] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   4*a^4*z^2 + 19*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 13*a^6*z^4 - 
   a^10*z^4 + 3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 2269] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 - 
   (6*z^2)/a^2 - z^4/a^8 - z^4/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4, Knot[14, NonAlternating, 2270] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 6*z^2 - 13*a^2*z^2 + 9*a^4*z^2 + 3*z^4 - 
   11*a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2271] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + z^4/a^12 + 
   z^4/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 2272] -> -4 + 9*a^2 - 4*a^4 + a^6 - a^8 - 6*z^2 - 
   z^2/a^2 + 18*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 - z^4/a^2 + 
   14*a^2*z^4 + z^6 + 4*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 2273] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 - (5*z^2)/a^10 + (11*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^10 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 2274] -> 10 - 5/a^2 - 3*a^2 - a^4 + 17*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 11*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 2275] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 - z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2276] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + z^2 + 
   5*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 + z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 2277] -> a^(-10) - 5/a^8 + 7/a^6 - 
   4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - (5*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2278] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - a^2*z^2 - 
   2*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 2279] -> 4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + 
   z^2/a^16 + z^2/a^14 - (20*z^2)/a^12 + (18*z^2)/a^10 + (9*z^2)/a^8 - 
   (2*z^4)/a^14 - (9*z^4)/a^12 + (20*z^4)/a^10 + (13*z^4)/a^8 + 
   (9*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2280] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + z^4/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 2281] -> a^(-14) - 4/a^12 + 7/a^10 - 
   7/a^8 + 2/a^6 + 2/a^4 - (4*z^2)/a^12 + (13*z^2)/a^10 - (14*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 2282] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 
   15*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2283] -> 7 - 2/a^2 - 5*a^2 + a^6 + 11*z^2 - 
   (3*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 + 9*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2284] -> 4 + 3/a^4 - 6/a^2 + 3*z^2 - (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (12*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2285] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2286] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (16*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2287] -> 1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + a^4 + 
   6*z^2 + (6*z^2)/a^4 - (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + 
   (2*z^4)/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 2288] -> -a^(-12) + 2/a^10 + 2/a^8 - 
   8/a^6 + 6/a^4 + (2*z^2)/a^10 + (3*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^4 - 
   z^2/a^2 + z^4/a^8 - (11*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2289] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (25*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 2290] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 
   15*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 2291] -> 
  4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + z^2/a^16 + z^2/a^14 - (22*z^2)/a^12 + 
   (22*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^14 - (11*z^4)/a^12 + 
   (29*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + z^6/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2292] -> -a^(-2) + 3*a^2 + a^4 - 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 2293] -> -a^(-8) + 2/a^4 + z^2/a^12 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 2294] -> -9 - 6/a^4 + 14/a^2 + 2*a^2 - 25*z^2 + 
   (2*z^2)/a^6 - (17*z^2)/a^4 + (39*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + z^4/a^6 - 
   (17*z^4)/a^4 + (44*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2295] -> -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 
   3/a^4 - z^2/a^12 + (9*z^2)/a^10 - (17*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 2296] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 2297] -> -6 - 2/a^6 + a^(-4) + 6/a^2 + 
   2*a^2 - 12*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 2298] -> -a^(-12) + 4/a^10 - 4/a^8 - a^(-6) + 
   2/a^4 + a^(-2) + (4*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^4)/a^8 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2299] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2300] -> -5 - a^(-4) + 2/a^2 + 10*a^2 - 5*a^4 - 
   18*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 2301] -> 2/a^14 - 6/a^12 + 5/a^10 - 3/a^8 + 3/a^6 + 
   z^2/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^4)/a^12 + (18*z^4)/a^10 - (15*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 2302] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 
   4*z^2 + 15*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2303] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 2304] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 2305] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2306] -> -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 
   23*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + (35*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (36*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2307] -> 4/a^10 - 14/a^8 + 14/a^6 - 3/a^4 + 
   (5*z^2)/a^10 - (28*z^2)/a^8 + (38*z^2)/a^6 - (10*z^2)/a^4 + (2*z^4)/a^10 - 
   (22*z^4)/a^8 + (42*z^4)/a^6 - (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2308] -> -4 + 2/a^6 - 11/a^4 + 15/a^2 - a^2 - 
   8*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + (34*z^2)/a^2 - 2*a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 2309] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (25*z^2)/a^8 + (25*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (23*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 2310] -> 
  -9 + 2/a^2 + 15*a^2 - 8*a^4 + a^6 - 23*z^2 + (5*z^2)/a^2 + 35*a^2*z^2 - 
   16*a^4*z^2 + 2*a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 36*a^2*z^4 - 14*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 21*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 2311] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (25*z^2)/a^8 + (25*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (23*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 2312] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (29*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (13*z^4)/a^6 - (32*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2313] -> 2/a^10 - 9/a^8 + 12/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (18*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 2314] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 2315] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 7*z^2 - z^2/a^8 + (14*z^2)/a^6 - 
   (32*z^2)/a^4 + (27*z^2)/a^2 - 9*z^4 + (7*z^4)/a^6 - (31*z^4)/a^4 + 
   (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 2316] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (25*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 2317] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2318] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2319] -> -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 
   3*a^2*z^2 + 6*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 2320] -> 
  3/a^14 - 7/a^12 + a^(-10) + 4/a^8 + z^2/a^16 - (13*z^2)/a^12 + 
   (7*z^2)/a^10 + (13*z^2)/a^8 - (2*z^4)/a^14 - (6*z^4)/a^12 + 
   (12*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 2321] -> 1 - a^(-4) + 4*a^2 - 3*a^4 + 
   6*z^2 - z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 8*z^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 2322] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 2/a^8 + 2/a^4 - (3*z^2)/a^12 + (6*z^2)/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 2323] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 2324] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 2325] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 3*a^2*z^2 - 6*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 2326] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2327] -> -a^(-6) + 2/a^4 - 2/a^2 + 5*a^2 - 3*a^4 - 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 2328] -> 2/a^14 - 4/a^12 - a^(-10) + 3/a^8 + 
   a^(-6) + (2*z^2)/a^14 - (10*z^2)/a^12 + (3*z^2)/a^10 + (9*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^4)/a^12 + (7*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 2329] -> 
  3 - 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - a^8 + 5*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2330] -> 5*a^2 - 11*a^4 + 11*a^6 - 4*a^8 + 
   11*a^2*z^2 - 27*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 
   27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 2331] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (28*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 2332] -> 
  -8 - 2/a^4 + 5/a^2 + 11*a^2 - 5*a^4 - 17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   25*a^2*z^2 - 9*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2333] -> -a^(-16) + 8/a^14 - 16/a^12 + 8/a^10 + 
   2/a^8 + (9*z^2)/a^14 - (35*z^2)/a^12 + (27*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^4)/a^14 - (24*z^4)/a^12 + (33*z^4)/a^10 + (9*z^4)/a^8 - 
   (5*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2334] -> -5 + 13*a^2 - 9*a^4 + 3*a^6 - a^8 - 
   10*z^2 + 28*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   24*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2335] -> -12 - 3/a^4 + 10/a^2 + 7*a^2 - a^6 - 
   29*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   28*z^4 - z^4/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 2336] -> 
  3/a^10 - 11/a^8 + 12/a^6 - 4/a^4 + a^(-2) + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (29*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 2337] -> 
  4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + 12*a^2*z^2 - 28*a^4*z^2 + 23*a^6*z^2 - 
   4*a^8*z^2 + 9*a^2*z^4 - 30*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 2338] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (30*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (28*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 2339] -> 
  -6 - a^(-4) + 2/a^2 + 12*a^2 - 6*a^4 - 16*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   29*a^2*z^2 - 11*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 
   6*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2340] -> 5/a^14 - 14/a^12 + 9/a^10 + a^(-8) + 
   (7*z^2)/a^14 - (34*z^2)/a^12 + (31*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^4)/a^14 - (24*z^4)/a^12 + (37*z^4)/a^10 + (8*z^4)/a^8 - 
   (5*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2341] -> -4 + 10*a^2 - 7*a^4 + 4*a^6 - 2*a^8 - 
   10*z^2 + 27*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   25*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2342] -> -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 
   28*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 13*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 2343] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 
   2/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (29*z^2)/a^6 - (14*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (28*z^4)/a^6 - (12*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2344] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 
   4*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 2345] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 2346] -> 
  1 - a^(-4) + 4*a^2 - 3*a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 2347] -> 
  3/a^14 - 7/a^12 + a^(-10) + 4/a^8 + (2*z^2)/a^14 - (12*z^2)/a^12 + 
   (4*z^2)/a^10 + (13*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^12 + (7*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 2348] -> -a^(-2) + 4*a^2 - 2*a^4 + a^6 - a^8 + 
   4*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2349] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 + 4*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2350] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 2351] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - (3*z^2)/a^12 + (15*z^2)/a^10 - 
   (23*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + (16*z^4)/a^10 - (31*z^4)/a^8 + 
   (17*z^4)/a^6 + (7*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 2352] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 10*a^4*z^2 + 33*a^6*z^2 - 15*a^8*z^2 - 
   12*a^4*z^4 + 40*a^6*z^4 - 13*a^8*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 
   6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 2353] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (3*z^2)/a^16 - (4*z^2)/a^14 - (27*z^2)/a^12 + (38*z^2)/a^10 + z^4/a^16 - 
   (7*z^4)/a^14 - (19*z^4)/a^12 + (54*z^4)/a^10 - (2*z^6)/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 2354] -> -4 - a^(-2) + 13*a^2 - 7*a^4 - 9*z^2 - 
   (3*z^2)/a^2 + 36*a^2*z^2 - 16*a^4*z^2 - 9*z^4 - z^4/a^2 + 43*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 2355] -> 2/a^14 - 6/a^12 + 6/a^10 - 
   5/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + (17*z^2)/a^10 - (17*z^2)/a^8 + 
   (14*z^2)/a^6 - (3*z^4)/a^12 + (19*z^4)/a^10 - (27*z^4)/a^8 + 
   (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 2356] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 2357] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   3*a^2*z^2 + 5*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 2358] -> 
  a^(-16) - 5/a^12 + 2/a^10 + 3/a^8 + z^2/a^16 - (2*z^2)/a^14 - 
   (12*z^2)/a^12 + (11*z^2)/a^10 + (11*z^2)/a^8 - (2*z^4)/a^14 - 
   (6*z^4)/a^12 + (16*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 2359] -> 
  3 - 3/a^2 + 5*a^2 - 4*a^4 + 7*z^2 - z^2/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2360] -> a^(-14) - 2/a^12 + a^(-6) + a^(-4) - 
   (3*z^2)/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (6*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2361] -> a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 - 
   a^(-6) + 3/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 2362] -> -1 - 4/a^4 + 7/a^2 - a^2 + z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2363] -> 1 + 2/a^10 - 7/a^8 + 6/a^6 + a^(-4) - 
   2/a^2 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2364] -> 5*a^2 - 11*a^4 + 11*a^6 - 4*a^8 + 
   11*a^2*z^2 - 27*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 
   27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 2365] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (28*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 2366] -> 
  -8 - 2/a^4 + 5/a^2 + 11*a^2 - 5*a^4 - 17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   25*a^2*z^2 - 9*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2367] -> -a^(-16) + 8/a^14 - 16/a^12 + 8/a^10 + 
   2/a^8 + (9*z^2)/a^14 - (35*z^2)/a^12 + (27*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^4)/a^14 - (24*z^4)/a^12 + (33*z^4)/a^10 + (9*z^4)/a^8 - 
   (5*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2368] -> -5 + 13*a^2 - 9*a^4 + 3*a^6 - a^8 - 
   10*z^2 + 28*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   24*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2369] -> -12 - 3/a^4 + 10/a^2 + 7*a^2 - a^6 - 
   29*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   28*z^4 - z^4/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 2370] -> 
  3/a^10 - 11/a^8 + 12/a^6 - 4/a^4 + a^(-2) + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (29*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 2371] -> 
  7 - 2/a^2 - 6*a^2 + a^4 + 2*a^6 - a^8 + 13*z^2 - (3*z^2)/a^2 - 14*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 9*z^4 - z^4/a^2 - 13*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 + 2*z^6 - 6*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 2372] -> 
  2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2373] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) - z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*z^4 - 
   (5*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2374] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 2375] -> -9 - 6/a^4 + 14/a^2 + 2*a^2 - 25*z^2 + 
   (2*z^2)/a^6 - (17*z^2)/a^4 + (39*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + z^4/a^6 - 
   (17*z^4)/a^4 + (44*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2376] -> -a^(-12) + 5/a^10 - 7/a^8 + a^(-6) + 
   3/a^4 - z^2/a^12 + (9*z^2)/a^10 - (17*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 2377] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 2378] -> -6 - 2/a^6 + a^(-4) + 6/a^2 + 
   2*a^2 - 12*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 2379] -> -a^(-12) + 4/a^10 - 4/a^8 - a^(-6) + 
   2/a^4 + a^(-2) + (4*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^4)/a^8 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2380] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2381] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (25*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   (6*z^4)/a^8 + (26*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 2382] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (17*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (21*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 2383] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 2384] -> 3/a^10 - 10/a^8 + 9/a^6 - a^(-4) - 
   z^2/a^12 + (8*z^2)/a^10 - (25*z^2)/a^8 + (27*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^4)/a^10 - (25*z^4)/a^8 + (32*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - 
   (12*z^6)/a^8 + (20*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2385] -> 
  -2 + a^(-6) - 7/a^4 + 10/a^2 - a^2 - 9*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (27*z^2)/a^2 - 9*z^4 + z^4/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 2386] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 2387] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (29*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (32*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2388] -> 2/a^10 - 9/a^8 + 12/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (18*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 2389] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 2390] -> 
  a^2 + a^4 - 3*a^8 + 3*a^10 - a^12 + 4*a^4*z^2 - 6*a^8*z^2 + 4*a^10*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - 6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 2391] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2392] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   6*z^2 + 21*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   19*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2393] -> a^(-10) - 7/a^8 + 12/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (27*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2394] -> 2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 + 
   17*a^6*z^2 - 27*a^8*z^2 + 15*a^10*z^2 - 2*a^12*z^2 - 6*a^4*z^4 + 
   25*a^6*z^4 - 30*a^8*z^4 + 9*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   14*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 2395] -> -5/a^8 + 11/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (28*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (25*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2396] -> a^4 + 5*a^6 - 10*a^8 + 7*a^10 - 2*a^12 + 
   18*a^6*z^2 - 26*a^8*z^2 + 13*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 
   24*a^6*z^4 - 28*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 2397] -> 1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 2398] -> 
  3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 5*a^4*z^2 + a^6*z^2 - 8*a^8*z^2 + 
   5*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 2399] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   6*z^2 + 21*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   19*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2400] -> a^(-10) - 7/a^8 + 12/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (27*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2401] -> 2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 + 
   17*a^6*z^2 - 27*a^8*z^2 + 15*a^10*z^2 - 2*a^12*z^2 - 6*a^4*z^4 + 
   25*a^6*z^4 - 30*a^8*z^4 + 9*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   14*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 2402] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 18*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2403] -> 1 + 3*a^2 - 8*a^4 + 7*a^6 - 2*a^8 + z^2 + 
   6*a^2*z^2 - 19*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 
   6*a^6*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 2404] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 2405] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 2406] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 - 2*z^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2407] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   7*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 2408] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 
   21*z^2 + z^2/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2409] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2410] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 2411] -> 2 - 3*a^4 + 2*a^6 - z^2 + 4*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2412] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 + z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 2413] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 3*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2414] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 2415] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 2416] -> -1 + a^(-2) + 4*a^2 - 8*a^4 + 7*a^6 - 
   2*a^8 - 2*z^2 + z^2/a^2 + 5*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 
   z^4 + a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 2417] -> -a^(-10) - a^(-8) + 7/a^6 - 8/a^4 + 
   4/a^2 - z^2/a^10 + z^2/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2418] -> 
  2 - a^(-10) + a^(-8) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 2419] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2420] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   13*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 2421] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2422] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 2423] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2424] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2425] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 2426] -> 3 - 2*a^2 - 3*a^4 + 4*a^6 - a^8 + 2*z^2 - 
   2*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 11*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 2427] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 
   4/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (30*z^2)/a^6 - (21*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (26*z^4)/a^6 - (16*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 2428] -> -1 + 8*a^2 - 12*a^4 + 8*a^6 - 2*a^8 - 
   5*z^2 + 22*a^2*z^2 - 30*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   27*a^2*z^4 - 30*a^4*z^4 + 7*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 13*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 2429] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2430] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   6*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   6*a^2*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 2431] -> -2 + 2/a^2 + 2*a^2 - 4*a^4 + 4*a^6 - a^8 - 
   4*z^2 + z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 
   a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 2432] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 2433] -> 
  1 + a^2 - a^4 - 2*a^6 + 3*a^8 - a^10 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   7*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 
   4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 2434] -> -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 
   2*a^6 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   z^4 + z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 2435] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + z^4 + 2*a^2*z^4 + 
   a^4*z^4, Knot[14, NonAlternating, 2436] -> 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 
   2*a^10 - a^12 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   3*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 2437] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 2438] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2439] -> 1 - a^2 + a^4 + a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 + a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[14, NonAlternating, 2440] -> -2 + a^(-4) + 2*a^2 - 10*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + z^4/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2441] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 
   4*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2442] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 13*z^2 + (7*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 2443] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 2444] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   2*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 2445] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 
   9*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 10*a^6*z^4 + 5*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 2446] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   4*z^2 - z^2/a^4 - z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 2447] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 2448] -> -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2449] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 2450] -> a^2 + a^4 - 2*a^8 + a^10 + 
   3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 9*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 2451] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 - a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 2452] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 12*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + z^4/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2453] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   5*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2454] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   25*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2455] -> 5*a^6 - 8*a^8 + 8*a^10 - 5*a^12 + a^14 + 
   13*a^6*z^2 - 17*a^8*z^2 + 19*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 
   11*a^6*z^4 - 17*a^8*z^4 + 17*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   9*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 2456] -> 
  -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^4 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 2457] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   5*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2458] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 2459] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 - 2*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + a^6*z^4, Knot[14, NonAlternating, 2460] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2461] -> 2*a^4 - a^8 - a^2*z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 2462] -> 
  2*a^6 - a^12 + 6*a^6*z^2 + 4*a^8*z^2 - a^14*z^2 + 5*a^6*z^4 + 5*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 2463] -> 
  -a^2 + 4*a^4 - 3*a^8 + a^10 - 3*a^2*z^2 + 8*a^4*z^2 + 4*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 2464] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 22*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 6*a^2*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2465] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   17*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2466] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   5*z^2 + z^2/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 2467] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 2*z^2 - z^2/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 2468] -> 
  2*a^4 - a^6 + a^10 - a^12 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 2469] -> a^2 - a^4 + 2*a^6 - a^8 + 
   a^10 - a^12 + 3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 + 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 2470] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 2471] -> a^(-14) - 5/a^12 + 8/a^10 - 7/a^8 + 
   3/a^6 + a^(-4) - (5*z^2)/a^12 + (17*z^2)/a^10 - (15*z^2)/a^8 + 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (10*z^4)/a^10 - (14*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 2472] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 
   6/a^2 + 2*z^2 - z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (5*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 2473] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 + 
   2*z^2 - z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (5*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 2474] -> a^2 + a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 2475] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - z^4 + a^2*z^4 - a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 2476] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2477] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 2478] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 2479] -> 
  4*a^8 - 3*a^10 + a^12 - a^14 + 17*a^8*z^2 - 6*a^10*z^2 + 4*a^12*z^2 - 
   3*a^14*z^2 + 20*a^8*z^4 - 2*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 
   a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 2480] -> 
  a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 5*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 + 
   a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^12*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 2481] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 2482] -> 5*a^8 - 5*a^10 + 2*a^12 - a^14 + 
   19*a^8*z^2 - 10*a^10*z^2 + 4*a^12*z^2 - 2*a^14*z^2 + 20*a^8*z^4 - 
   4*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 2483] -> -9 + 4/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 
   19*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + a^8*z^2 - 12*z^4 + 
   z^4/a^2 + 19*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 8*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 2484] -> 2*a^6 - a^10 + a^12 - a^14 + 
   7*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 
   4*a^8*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 2485] -> a^4 + a^8 - a^10 + a^12 - a^14 + 
   3*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + a^12*z^2 + a^4*z^4 + a^6*z^4 + 
   a^8*z^4, Knot[14, NonAlternating, 2486] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2487] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 2488] -> 
  1 + 3*a^2 - 8*a^4 + 7*a^6 - 2*a^8 + z^2 + 6*a^2*z^2 - 19*a^4*z^2 + 
   12*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 6*a^6*z^4 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 2489] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 2490] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 - 2*z^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2491] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 21*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2492] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   7*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 2493] -> -1 + a^(-2) + 4*a^2 - 8*a^4 + 
   7*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + 5*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - z^4 + a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 2494] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 2495] -> 2 - 3*a^4 + 2*a^6 - z^2 + 4*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2496] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 14*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 9*z^4 + z^4/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2497] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 - 3*z^4 - z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2498] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2499] -> -a^(-10) - a^(-8) + 7/a^6 - 8/a^4 + 
   4/a^2 - z^2/a^10 + z^2/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2500] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 + z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 2501] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2502] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 2503] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2504] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   22*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2505] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + 
   a^6 - 17*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2506] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   4*a^4*z^2 + a^6*z^2 + 3*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 2507] -> 2*a^4 - a^6 + a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 + 2*a^10*z^2 - a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 2508] -> 4*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2509] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2510] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2511] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2512] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2513] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2514] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2515] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 + (6*z^2)/a^10 - (17*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + 
   (2*z^4)/a^10 - (19*z^4)/a^8 + (27*z^4)/a^6 - (9*z^4)/a^4 - (8*z^6)/a^8 + 
   (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2516] -> -5 - 2/a^6 + 4/a^4 + a^(-2) + 3*a^2 - 
   9*z^2 + (4*z^2)/a^4 + 4*a^2*z^2 - 6*z^4 - z^4/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 2517] -> a^(-10) - 7/a^8 + 11/a^6 - 6/a^4 + 2/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 - 
   (6*z^4)/a^8 + (19*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2518] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + (6*z^2)/a^8 - (13*z^2)/a^6 + 
   (9*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (10*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6, Knot[14, NonAlternating, 2519] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 6*z^2 - z^2/a^6 + (8*z^2)/a^4 - (11*z^2)/a^2 - 
   a^2*z^2 + 6*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 2520] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 2521] -> -a^(-12) + 2/a^10 + a^(-8) - 6/a^6 + 
   5/a^4 + (2*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^6, Knot[14, NonAlternating, 2522] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2523] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2524] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2525] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2526] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*z^4 - 3*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 2527] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 2528] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - (11*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2529] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 12*z^2 - 
   (3*z^2)/a^2 - 12*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^2 - 
   8*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2530] -> -3 + 10*a^2 - 9*a^4 + 4*a^6 - a^8 - 
   5*z^2 + 19*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   13*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 2531] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 
   4*a^4 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 2532] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 
   2/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^4, Knot[14, NonAlternating, 2533] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 2534] -> 
  2/a^14 - 9/a^12 + 13/a^10 - 10/a^8 + 5/a^6 + z^2/a^14 - (16*z^2)/a^12 + 
   (35*z^2)/a^10 - (27*z^2)/a^8 + (15*z^2)/a^6 - (8*z^4)/a^12 + 
   (36*z^4)/a^10 - (33*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 2535] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 
   14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 2536] -> 
  2/a^10 - 7/a^8 + 9/a^6 - 6/a^4 + 3/a^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + 
   (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (13*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2537] -> 
  -5 - a^(-8) + 5/a^6 - 13/a^4 + 15/a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (33*z^2)/a^4 + (35*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (15*z^4)/a^6 - (38*z^4)/a^4 + (33*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (14*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2538] -> 2/a^10 - 8/a^8 + 10/a^6 - 
   5/a^4 + 2/a^2 + z^2/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (14*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2539] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2540] -> a^(-10) - 6/a^8 + 13/a^6 - 
   13/a^4 + 6/a^2 + z^2/a^10 - (10*z^2)/a^8 + (32*z^2)/a^6 - (37*z^2)/a^4 + 
   (14*z^2)/a^2 - (6*z^4)/a^8 + (30*z^4)/a^6 - (44*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^8 + (13*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 2541] -> 
  -13 - 3/a^4 + 10/a^2 + 10*a^2 - 3*a^4 - 38*z^2 - (4*z^2)/a^4 + 
   (24*z^2)/a^2 + 24*a^2*z^2 - 4*a^4*z^2 - 47*z^4 - z^4/a^4 + (22*z^4)/a^2 + 
   22*a^2*z^4 - a^4*z^4 - 30*z^6 + (8*z^6)/a^2 + 8*a^2*z^6 - 9*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 2542] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - (5*z^2)/a^12 + (14*z^2)/a^10 - 
   (18*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (10*z^4)/a^10 - (14*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^6)/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 2543] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   7*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (18*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2544] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 2545] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6, Knot[14, NonAlternating, 2546] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (18*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (11*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2547] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 
   2*a^2 - 13*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2548] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 2549] -> -3 - 2/a^8 + 8/a^6 - 14/a^4 + 12/a^2 - 
   10*z^2 - z^2/a^8 + (14*z^2)/a^6 - (35*z^2)/a^4 + (34*z^2)/a^2 - 12*z^4 + 
   (7*z^4)/a^6 - (34*z^4)/a^4 + (40*z^4)/a^2 - 6*z^6 + z^6/a^6 - 
   (14*z^6)/a^4 + (25*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2550] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 
   z^2/a^8 + (14*z^2)/a^6 - (25*z^2)/a^4 + (11*z^2)/a^2 + (7*z^4)/a^6 - 
   (22*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2551] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 2552] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (18*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2553] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2554] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 7*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 2555] -> -11 - 2/a^4 + 9/a^2 + 5*a^2 - 
   24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 19*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2556] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 3*z^2 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^8 - 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 2557] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2558] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2559] -> 4/a^14 - 13/a^12 + 10/a^10 + 
   (2*z^2)/a^16 - (4*z^2)/a^14 - (22*z^2)/a^12 + (35*z^2)/a^10 + z^4/a^16 - 
   (13*z^4)/a^14 - (2*z^4)/a^12 + (47*z^4)/a^10 - (7*z^6)/a^14 + 
   (13*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 2560] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 8*z^2 + 17*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 
   5*z^4 + 14*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - z^6 + 6*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 2561] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 - z^2/a^10 - (10*z^2)/a^8 + 
   (13*z^2)/a^6 + (3*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 2562] -> a^(-16) - 3/a^14 + 3/a^12 - 5/a^10 + 
   5/a^8 + z^2/a^16 - (8*z^2)/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 + 
   (15*z^2)/a^8 - (6*z^4)/a^14 + (10*z^4)/a^12 + (4*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 2563] -> 
  4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 6*z^2 - (3*z^2)/a^2 - a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 2564] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 3/a^6 + 3/a^4 + (2*z^2)/a^12 - (5*z^2)/a^10 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 2565] -> -3 - 2/a^8 + 8/a^6 - 14/a^4 + 12/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (18*z^2)/a^6 - (37*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (42*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2566] -> a^(-14) - 5/a^12 + 11/a^10 - 
   14/a^8 + 8/a^6 - (7*z^2)/a^12 + (27*z^2)/a^10 - (38*z^2)/a^8 + 
   (22*z^2)/a^6 - (2*z^4)/a^12 + (25*z^4)/a^10 - (45*z^4)/a^8 + 
   (21*z^4)/a^6 + (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 2567] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 16*z^4 + (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 2568] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 2569] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^6 + 
   (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 2570] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (3*z^2)/a^12 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 + (2*z^4)/a^10 + (6*z^4)/a^6 + z^6/a^6, 
 Knot[14, NonAlternating, 2571] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2572] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 21*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2573] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 2574] -> 
  a^(-10) - 6/a^8 + 13/a^6 - 13/a^4 + 6/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (34*z^2)/a^6 - (33*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (38*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2575] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   2*z^2 - z^2/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - z^4 + 
   (6*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2576] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^8 - z^4/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 2577] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2578] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   11*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2579] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 2580] -> 
  -10 - 3/a^4 + 10/a^2 + 4*a^2 - 21*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 
   6*a^2*z^2 - 16*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 2581] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2582] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 - z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 2583] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 2584] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (11*z^2)/a^8 + 
   (23*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - (7*z^4)/a^8 + (27*z^4)/a^6 - 
   (23*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2585] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   6*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2586] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 2587] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2588] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2589] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 2590] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 - 4*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2591] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 - (6*z^4)/a^8 + (22*z^4)/a^6 - (28*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2592] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (15*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 7*z^6 - (7*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2593] -> -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 
   5/a^4 + (4*z^2)/a^10 - (4*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 2594] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (7*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2595] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 2596] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 
   4*z^2 + (4*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 2597] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 + (4*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 2598] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2599] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2600] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2601] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + z^4/a^6 - z^4/a^2, 
 Knot[14, NonAlternating, 2602] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 4*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 5*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2603] -> -3 + 8*a^2 - 4*a^4 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2604] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - z^4 + 8*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 2605] -> 6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 
   7*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2606] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - 
   6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2607] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (10*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^4)/a^10 - (25*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^10 - 
   (13*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2608] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2609] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 2610] -> 4 - 2/a^2 - 2*a^4 + 2*a^6 - a^8 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 2611] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^12 + 
   (5*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[14, NonAlternating, 2612] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2613] -> a^(-14) - 2/a^12 - a^(-8) + 3/a^6 + 
   z^2/a^14 - (6*z^2)/a^12 + (5*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (3*z^4)/a^12 + (8*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 2614] -> 
  -5 + 15*a^2 - 14*a^4 + 7*a^6 - 2*a^8 - 10*z^2 + 35*a^2*z^2 - 35*a^4*z^2 + 
   19*a^6*z^2 - 4*a^8*z^2 - 6*z^4 + 33*a^2*z^4 - 39*a^4*z^4 + 19*a^6*z^4 - 
   2*a^8*z^4 - z^6 + 14*a^2*z^6 - 24*a^4*z^6 + 8*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 2615] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 3*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 2616] -> -1 + 5*a^2 - 8*a^4 + 9*a^6 - 4*a^8 - 
   2*z^2 + 11*a^2*z^2 - 17*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   8*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 2617] -> 
  2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 4*z^2 - z^2/a^2 + 3*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 2618] -> 
  2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2619] -> -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - 
   a^4 - 12*z^2 - z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   7*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2620] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   17*z^2 + z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 2621] -> -5 + a^(-2) + 11*a^2 - 8*a^4 + 
   2*a^6 - 11*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   8*z^4 + z^4/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 2*z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2622] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (19*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (11*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2623] -> -6 + a^(-6) - 7/a^4 + 12/a^2 + 
   a^2 - 12*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2624] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (18*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + (6*z^4)/a^10 - (23*z^4)/a^8 + 
   (22*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2625] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2626] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2627] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   (6*z^4)/a^8 + (23*z^4)/a^6 - (21*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 2628] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2629] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2630] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 - z^2/a^12 + (10*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 + (7*z^4)/a^10 - (25*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^10 - (13*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2631] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2632] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2633] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 27*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (33*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (40*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2634] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + 
   (3*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 2635] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 2636] -> 
  -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 6*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 6*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 2637] -> -3 + 10*a^2 - 9*a^4 + 4*a^6 - a^8 - 
   7*z^2 + 28*a^2*z^2 - 31*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   29*a^2*z^4 - 40*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 2638] -> 2/a^14 - 8/a^12 + 9/a^10 - 5/a^8 + 3/a^6 + 
   z^2/a^14 - (16*z^2)/a^12 + (32*z^2)/a^10 - (21*z^2)/a^8 + (13*z^2)/a^6 - 
   (8*z^4)/a^12 + (36*z^4)/a^10 - (31*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + 
   (15*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 2639] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 9*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2640] -> 2/a^10 - 6/a^8 + 5/a^6 - a^(-4) + a^(-2) + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 2641] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   4*z^2 + z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2642] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 
   10/a^2 - 7*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (31*z^2)/a^4 + 
   (28*z^2)/a^2 - 5*z^4 - z^4/a^8 + (16*z^4)/a^6 - (40*z^4)/a^4 + 
   (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 2643] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2644] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2645] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 - z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2646] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2647] -> -3 + 11*a^2 - 10*a^4 + 3*a^6 - 
   7*z^2 + 29*a^2*z^2 - 33*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   29*a^2*z^4 - 41*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 2648] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 - (6*z^2)/a^12 + (11*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 2649] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2650] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2651] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2652] -> 1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   6*z^4 - z^4/a^2 - a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 2653] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 30*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   26*a^2*z^2 - 7*a^4*z^2 - 39*z^4 - z^4/a^4 + (17*z^4)/a^2 + 29*a^2*z^4 - 
   5*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 8*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 2654] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 + z^2/a^14 - (7*z^2)/a^12 + 
   (10*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 - (3*z^4)/a^12 + 
   (10*z^4)/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + (3*z^6)/a^10 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 2655] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 15*a^2*z^2 - 10*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - z^6 + 
   6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2656] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (33*z^2)/a^8 + (31*z^2)/a^6 - (6*z^2)/a^4 + (7*z^4)/a^10 - (33*z^4)/a^8 + 
   (40*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^10 - (14*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2657] -> -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2658] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 
   z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2659] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2660] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (18*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + 
   (6*z^4)/a^10 - (23*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^10 - 
   (12*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2661] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2662] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2663] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (5*z^2)/a^10 - (11*z^2)/a^8 + 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2664] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (8*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 2665] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 2666] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 - (6*z^4)/a^8 + (23*z^4)/a^6 - (27*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2667] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   6*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2668] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2669] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 2670] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 2671] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2672] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2673] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 2674] -> 
  -1 + a^(-2) + a^2 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 2675] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 2676] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + 
   a^2 - 7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2677] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 
   20*z^2 + z^2/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 - (5*z^4)/a^6 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 2678] -> 4/a^14 - 13/a^12 + 10/a^10 + 
   (3*z^2)/a^14 - (25*z^2)/a^12 + (28*z^2)/a^10 + (5*z^2)/a^8 - 
   (14*z^4)/a^12 + (31*z^4)/a^10 + (10*z^4)/a^8 - (2*z^6)/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2679] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + 
   z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[14, NonAlternating, 2680] -> 
  5 - a^(-4) - 4*a^2 + a^4 + 9*z^2 - (2*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 2681] -> -4 + 9*a^2 - 3*a^4 - a^6 - 3*z^2 - 
   (2*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 2682] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + (4*z^2)/a^10 - (11*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2683] -> -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 2684] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (4*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 2685] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 - z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 2686] -> 
  -1 + 2*a^2 + a^4 - a^8 - z^2 + 4*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 2687] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 
   2*a^2*z^2 - 5*a^4*z^2 + 31*a^6*z^2 - 16*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   28*a^6*z^4 - 10*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 2688] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (11*z^2)/a^10 - 
   (24*z^2)/a^8 + (16*z^2)/a^6 + (7*z^4)/a^10 - (27*z^4)/a^8 + (24*z^4)/a^6 - 
   (6*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2689] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   6*z^2 + z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2690] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2691] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 20*z^2 + 
   (2*z^2)/a^6 - (19*z^2)/a^4 + (39*z^2)/a^2 + 3*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (17*z^4)/a^4 + (45*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2692] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^10 - 
   (10*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^4 - (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 2693] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 2694] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 2695] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2696] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 
   22*z^2 + (4*z^2)/a^2 + 37*a^2*z^2 - 18*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + 
   (4*z^4)/a^2 + 44*a^2*z^4 - 17*a^4*z^4 + a^6*z^4 - 12*z^6 + z^6/a^2 + 
   26*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 2697] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + 
   z^2/a^16 - (6*z^2)/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 - 
   (5*z^4)/a^14 + (2*z^4)/a^12 + (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 2698] -> -a^(-2) + 3*a^2 + a^4 - 2*a^6 - 
   z^2 - (2*z^2)/a^2 + 9*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 2699] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + (2*z^2)/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 2700] -> 
  4/a^14 - 13/a^12 + 10/a^10 + z^2/a^16 - (24*z^2)/a^12 + (31*z^2)/a^10 + 
   (3*z^2)/a^8 - (4*z^4)/a^14 - (10*z^4)/a^12 + (36*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (2*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 2701] -> 
  2/a^12 - 8/a^10 + 7/a^8 - (10*z^2)/a^10 + (19*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^10 + (15*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 2702] -> 7 - 3/a^2 - 3*a^2 + 9*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 2703] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 6*z^2 - z^2/a^2 + 17*a^2*z^2 - a^4*z^2 - 
   3*a^6*z^2 - z^4 - z^4/a^2 + 13*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + z^6 + 
   4*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 2704] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + z^2/a^10 - (10*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 2705] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 2706] -> -3*a^2 + 9*a^4 - 5*a^6 + 4*z^2 - z^2/a^2 - 
   9*a^2*z^2 + 17*a^4*z^2 - 5*a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   11*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 2707] -> -5 - a^(-8) + 5/a^6 - 13/a^4 + 15/a^2 - 
   13*z^2 - z^2/a^8 + (10*z^2)/a^6 - (31*z^2)/a^4 + (39*z^2)/a^2 - 13*z^4 + 
   (6*z^4)/a^6 - (30*z^4)/a^4 + (44*z^4)/a^2 - 6*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (26*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2708] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (21*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 2709] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 2710] -> 
  3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2711] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 
   4/a^2 - 2*z^2 + (3*z^2)/a^8 - (8*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2712] -> -4 - 2/a^4 + 6/a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 2713] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 21*z^2 - z^2/a^6 + z^2/a^4 + 
   (10*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, NonAlternating, 2714] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 2715] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 2716] -> 
  4/a^14 - 13/a^12 + 10/a^10 + z^2/a^16 - z^2/a^14 - (23*z^2)/a^12 + 
   (32*z^2)/a^10 + (2*z^2)/a^8 - (5*z^4)/a^14 - (8*z^4)/a^12 + 
   (38*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (19*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2717] -> -4 + 9*a^2 - 3*a^4 - a^6 - 5*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - z^4/a^2 + 11*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 2718] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 2719] -> 2/a^14 - 6/a^12 + 2/a^10 + 
   3/a^8 + z^2/a^16 - (3*z^2)/a^14 - (9*z^2)/a^12 + (11*z^2)/a^10 + 
   (10*z^2)/a^8 - (5*z^4)/a^14 + (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 2720] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - 
   z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^2 + 
   10*a^2*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 2721] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   z^2/a^12 + z^2/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 2722] -> -3 - 2/a^8 + 8/a^6 - 14/a^4 + 12/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (18*z^2)/a^6 - (37*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (42*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2723] -> a^(-14) - 5/a^12 + 11/a^10 - 
   14/a^8 + 8/a^6 - (7*z^2)/a^12 + (27*z^2)/a^10 - (38*z^2)/a^8 + 
   (22*z^2)/a^6 - (2*z^4)/a^12 + (25*z^4)/a^10 - (45*z^4)/a^8 + 
   (21*z^4)/a^6 + (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 2724] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 16*z^4 + (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 2725] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 2726] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^6 + 
   (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 2727] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (3*z^2)/a^12 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 + (2*z^4)/a^10 + (6*z^4)/a^6 + z^6/a^6, 
 Knot[14, NonAlternating, 2728] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2729] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 21*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2730] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 2731] -> 
  a^(-10) - 6/a^8 + 13/a^6 - 13/a^4 + 6/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (34*z^2)/a^6 - (33*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (38*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 2732] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   2*z^2 - z^2/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - z^4 + 
   (6*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2733] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^8 - z^4/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 2734] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2735] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   11*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2736] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 2737] -> 
  -10 - 3/a^4 + 10/a^2 + 4*a^2 - 21*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 
   6*a^2*z^2 - 16*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 2738] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 - (7*z^4)/a^8 + (28*z^4)/a^6 - (22*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2739] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (5*z^2)/a^12 + (11*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - 
   z^4/a^12 + (9*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 2740] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 2741] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2742] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2743] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 2744] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 
   4*z^2 + 13*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 2745] -> 
  a^(-14) - 6/a^12 + 11/a^10 - 9/a^8 + 2/a^6 + 2/a^4 - (7*z^2)/a^12 + 
   (24*z^2)/a^10 - (22*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - z^4/a^12 + 
   (17*z^4)/a^10 - (23*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - 
   (12*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2746] -> -a^(-12) + 7/a^10 - 16/a^8 + 13/a^6 - 
   2/a^4 - z^2/a^12 + (12*z^2)/a^10 - (36*z^2)/a^8 + (37*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^4)/a^10 - (33*z^4)/a^8 + (42*z^4)/a^6 - (11*z^4)/a^4 + 
   z^6/a^10 - (14*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2747] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2748] -> 
  2/a^14 - 6/a^12 + 5/a^10 - 3/a^8 + 3/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (12*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^4)/a^12 + (11*z^4)/a^10 - 
   (6*z^4)/a^8 + (8*z^4)/a^6 + (3*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 2749] -> -4 + 11*a^2 - 9*a^4 + 5*a^6 - 
   2*a^8 - 10*z^2 + 32*a^2*z^2 - 28*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   6*z^4 + 33*a^2*z^4 - 36*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 
   14*a^2*z^6 - 24*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 2750] -> -a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 2751] -> a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + 
   a^(-4) - (3*z^2)/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^10 + z^4/a^8 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 2752] -> -a^(-2) + 5*a^2 - 4*a^4 + 2*a^6 - a^8 + 
   5*z^2 - (3*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   7*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 2753] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 + (7*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2754] -> 1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 2755] -> -2*a^4 + 8*a^6 - 5*a^8 - 
   5*a^4*z^2 + 18*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 - 4*a^4*z^4 + 15*a^6*z^4 + 
   7*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 2756] -> 
  -a^2 + 4*a^4 - 3*a^6 + 3*a^8 - 2*a^10 - 2*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 2757] -> 
  -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 18*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2758] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   14*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2759] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (20*z^2)/a^4 + (15*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + 
   (9*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2760] -> -2 - a^(-4) + 3/a^2 - a^2 + 4*a^4 - 
   2*a^6 - 4*z^2 - z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 2761] -> -3 + a^(-8) - 3/a^6 + 3/a^4 + a^(-2) + 
   2*a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 2762] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 
   2/a^2 - a^2 + 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 2763] -> -2*a^4 + 8*a^6 - 5*a^8 - 
   a^2*z^2 - 2*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 
   a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 2764] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 2765] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 
   2*a^2 - 11*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2766] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (19*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2767] -> -11 - a^(-6) + a^(-4) + 5/a^2 + 10*a^2 - 
   3*a^4 - 26*z^2 - z^2/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 + 21*a^2*z^2 - 
   4*a^4*z^2 - 25*z^4 + (5*z^4)/a^4 - z^4/a^2 + 15*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 2768] -> a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + 
   a^(-6) + 2/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 2769] -> 
  1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 2770] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 11/a^8 + 6/a^6 + z^2/a^14 - (14*z^2)/a^12 + 
   (32*z^2)/a^10 - (30*z^2)/a^8 + (17*z^2)/a^6 - (7*z^4)/a^12 + 
   (33*z^4)/a^10 - (36*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - 
   (24*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 2771] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 
   4*a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 
   11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 2772] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (21*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2773] -> 
  a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - (5*z^2)/a^12 + 
   (8*z^2)/a^10 + (3*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^12 + 
   (9*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2774] -> 1 - a^(-6) + 2/a^4 - 2/a^2 + 3*a^2 - 
   2*a^4 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2775] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 2776] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2777] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2778] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2779] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 14*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 2780] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 + (3*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2781] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 2782] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 2783] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2784] -> a^(-10) - 7/a^8 + 11/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 - (6*z^4)/a^8 + (19*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 2785] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + 
   (6*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^10 + z^4/a^8 - 
   (10*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6, 
 Knot[14, NonAlternating, 2786] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 6*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 + 6*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2787] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - z^4 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 2788] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2789] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2790] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 2791] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - (11*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2792] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 12*z^2 - 
   (3*z^2)/a^2 - 12*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^2 - 
   8*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2793] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 2794] -> -6 - a^(-6) + 2/a^4 + a^(-2) + 
   8*a^2 - 3*a^4 - 11*z^2 - z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 2795] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 
   2/a^4 - (3*z^2)/a^12 + (4*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 2796] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 2797] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 
   6/a^6 + z^2/a^14 - (11*z^2)/a^12 + (26*z^2)/a^10 - (28*z^2)/a^8 + 
   (17*z^2)/a^6 - (7*z^4)/a^12 + (31*z^4)/a^10 - (36*z^4)/a^8 + 
   (17*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - (24*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 2798] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 2799] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (14*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2800] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + z^2/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2801] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - (6*z^4)/a^8 + (23*z^4)/a^6 - (21*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2802] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (10*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2803] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2804] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - (5*z^2)/a^12 + 
   (11*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^12 + 
   (9*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2805] -> -4 - a^(-6) + a^(-4) + 2/a^2 + 5*a^2 - 
   2*a^4 - 7*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2806] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 2807] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (14*z^2)/a^14 - (5*z^2)/a^12 + (29*z^2)/a^10 + z^4/a^16 - 
   (16*z^4)/a^14 + (8*z^4)/a^12 + (45*z^4)/a^10 - (7*z^6)/a^14 + 
   (15*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 2808] -> 
  -2 + a^2 + 7*a^4 - 5*a^6 - 7*z^2 + 5*a^2*z^2 + 22*a^4*z^2 - 12*a^6*z^2 - 
   5*z^4 + 8*a^2*z^4 + 25*a^4*z^4 - 9*a^6*z^4 - z^6 + 5*a^2*z^6 + 
   12*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 2*a^4*z^8, 
 Knot[14, NonAlternating, 2809] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (5*z^2)/a^12 - (15*z^2)/a^10 + (9*z^2)/a^8 + (7*z^2)/a^6 + (4*z^4)/a^12 - 
   (14*z^4)/a^10 + (8*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 2810] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (5*z^2)/a^14 - (11*z^2)/a^12 + 
   (21*z^2)/a^10 + (6*z^2)/a^8 - (5*z^4)/a^14 + (24*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 2811] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 + 6*a^4*z^2 - 
   5*a^6*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + z^6 + 
   3*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 2812] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 2813] -> 2/a^16 - 6/a^14 + 4/a^12 - 2/a^10 + 
   3/a^8 + z^2/a^16 - (11*z^2)/a^14 + (10*z^2)/a^12 - z^2/a^10 + 
   (13*z^2)/a^8 - (6*z^4)/a^14 + (12*z^4)/a^12 + (6*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 2814] -> 
  1 - a^(-2) - a^2 + 6*a^4 - 4*a^6 + 2*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 + 8*a^4*z^4 - 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 2815] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + (3*z^2)/a^12 - (9*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 2816] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (4*z^2)/a^14 + (4*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   (3*z^4)/a^12 + (7*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 2817] -> 
  -a^(-2) + 3*a^2 + a^4 - 2*a^6 + 2*z^2 - z^2/a^4 - z^2/a^2 + 6*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 2818] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 - z^4/a^8, Knot[14, NonAlternating, 2819] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - (7*z^2)/a^12 + (20*z^2)/a^10 - 
   (18*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - 
   (19*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2820] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   5*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2821] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 2822] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 5*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2823] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 2824] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 3*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 2825] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2826] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   (5*z^2)/a^12 + (6*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (8*z^4)/a^10 + z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2827] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   5*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2828] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 2829] -> 2/a^10 - 11/a^8 + 16/a^6 - 8/a^4 + 2/a^2 + 
   z^2/a^10 - (17*z^2)/a^8 + (41*z^2)/a^6 - (27*z^2)/a^4 + (8*z^2)/a^2 - 
   (8*z^4)/a^8 + (38*z^4)/a^6 - (36*z^4)/a^4 + (11*z^4)/a^2 - z^6/a^8 + 
   (15*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 2830] -> 
  a^(-12) - 5/a^10 + 5/a^8 + a^(-6) - 3/a^4 + 2/a^2 - (6*z^2)/a^10 + 
   (14*z^2)/a^8 - (9*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^10 + (11*z^4)/a^8 - 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^8 - (5*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 2831] -> 2/a^10 - 11/a^8 + 16/a^6 - 8/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (20*z^2)/a^8 + (42*z^2)/a^6 - (24*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (44*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 2832] -> 
  -3 - 4/a^4 + 8/a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + 
   (22*z^2)/a^2 - 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 2833] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (11*z^2)/a^10 - 
   (10*z^2)/a^8 + (11*z^2)/a^6 - z^4/a^12 + (9*z^4)/a^10 - (9*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 2834] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 2835] -> 1 - 2/a^4 + 3/a^2 - a^2 + 
   5*z^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 2836] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 2837] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2838] -> 
  2*a^2 - a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2839] -> a^(-10) - 4/a^8 + 7/a^6 - 
   7/a^4 + 4/a^2 + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 2840] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 2841] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   4*z^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2842] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 
   4*z^2 + 13*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 2843] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - (7*z^2)/a^12 + (20*z^2)/a^10 - 
   (18*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - 
   (19*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2844] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   5*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2845] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 2846] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 5*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 2847] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 2848] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 3*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 2849] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2850] -> 2/a^10 - 10/a^8 + 15/a^6 - 9/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (19*z^2)/a^8 + (40*z^2)/a^6 - (26*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (43*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 2851] -> 
  -3/a^6 + 5/a^4 - a^(-2) - z^2/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 2852] -> 
  1 + a^(-8) - 6/a^6 + 9/a^4 - 4/a^2 + 2*z^2 + z^2/a^8 - (9*z^2)/a^6 + 
   (19*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (5*z^4)/a^6 + (15*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2853] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2854] -> 
  -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 9*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (21*z^2)/a^2 + a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2855] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 17*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (2*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2856] -> 5 + a^(-4) - 4/a^2 - a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 2857] -> a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + 
   3/a^4 - (6*z^2)/a^12 + (20*z^2)/a^10 - (18*z^2)/a^8 + (7*z^2)/a^4 - 
   z^4/a^12 + (15*z^4)/a^10 - (20*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 2858] -> -9 - a^(-6) + 6/a^2 + 7*a^2 - 
   2*a^4 - 16*z^2 - z^2/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 2859] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 
   7/a^4 + 2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - 
   (11*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 2860] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2861] -> 
  a^(-14) - 2/a^12 - a^(-8) + 3/a^6 + z^2/a^14 - (6*z^2)/a^12 + 
   (5*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - (3*z^4)/a^12 + (8*z^4)/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 2862] -> -5 + 15*a^2 - 14*a^4 + 7*a^6 - 
   2*a^8 - 10*z^2 + 35*a^2*z^2 - 35*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - 
   6*z^4 + 33*a^2*z^4 - 39*a^4*z^4 + 19*a^6*z^4 - 2*a^8*z^4 - z^6 + 
   14*a^2*z^6 - 24*a^4*z^6 + 8*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 2863] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + z^2/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - 6*z^4 + z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2864] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2865] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - 
   (7*z^4)/a^8 + (28*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 2866] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2867] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2868] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 
   (6*z^4)/a^8 + (23*z^4)/a^6 - (27*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 2869] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 2870] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2871] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2872] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2873] -> -1 + a^(-2) + a^2 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2874] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 2875] -> -a^(-12) + 5/a^10 - 8/a^8 + 
   3/a^6 + 2/a^4 - z^2/a^12 + (11*z^2)/a^10 - (24*z^2)/a^8 + (16*z^2)/a^6 + 
   (7*z^4)/a^10 - (27*z^4)/a^8 + (24*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^10 - 
   (13*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2876] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2877] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2878] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (11*z^2)/a^8 + 
   (23*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - (7*z^4)/a^8 + (27*z^4)/a^6 - 
   (23*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2879] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 2880] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2881] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2882] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 2883] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 5*z^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2884] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 2885] -> 
  2*a^2 - a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2886] -> -a^(-4) + 2/a^2 + z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2887] -> -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 11*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 2888] -> 2/a^10 - 10/a^8 + 15/a^6 - 9/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (19*z^2)/a^8 + (40*z^2)/a^6 - (26*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (43*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 2889] -> 
  -3/a^6 + 5/a^4 - a^(-2) - z^2/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 2890] -> 
  1 + a^(-8) - 6/a^6 + 9/a^4 - 4/a^2 + 2*z^2 + z^2/a^8 - (9*z^2)/a^6 + 
   (19*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (5*z^4)/a^6 + (15*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2891] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2892] -> 
  -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 9*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (21*z^2)/a^2 + a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2893] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 17*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (2*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2894] -> 5 + a^(-4) - 4/a^2 - a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 2895] -> a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + 
   3/a^4 - (6*z^2)/a^12 + (20*z^2)/a^10 - (18*z^2)/a^8 + (7*z^2)/a^4 - 
   z^4/a^12 + (15*z^4)/a^10 - (20*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 2896] -> -9 - a^(-6) + 6/a^2 + 7*a^2 - 
   2*a^4 - 16*z^2 - z^2/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 2897] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 
   7/a^4 + 2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - 
   (11*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 2898] -> 
  -5 - a^(-8) + 5/a^6 - 13/a^4 + 15/a^2 - 13*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (31*z^2)/a^4 + (39*z^2)/a^2 - 13*z^4 + (6*z^4)/a^6 - (30*z^4)/a^4 + 
   (44*z^4)/a^2 - 6*z^6 + z^6/a^6 - (13*z^6)/a^4 + (26*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 2899] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (21*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 2900] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 2901] -> 4/a^14 - 13/a^12 + 10/a^10 + z^2/a^16 - 
   (24*z^2)/a^12 + (31*z^2)/a^10 + (3*z^2)/a^8 - (4*z^4)/a^14 - 
   (10*z^4)/a^12 + (36*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2902] -> -4 + 9*a^2 - 3*a^4 - a^6 - 6*z^2 - 
   z^2/a^2 + 17*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - z^4 - z^4/a^2 + 13*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 + z^6 + 4*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 2903] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + 
   z^2/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 2904] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 + z^6/a^10 - 
   (11*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2905] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2906] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 2907] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 2908] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2909] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 2910] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 2911] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - (5*z^4)/a^8 + (19*z^4)/a^6 - (25*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 2912] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 2913] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 2914] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2915] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 
   2*a^8 - 2*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - z^4 + 
   8*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 2916] -> a^(-10) - 5/a^8 + 7/a^6 - 
   4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 2917] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   29*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 2918] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (22*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 - 
   (9*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 2919] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 2920] -> 
  -a^(-12) + 3/a^10 - 7/a^6 + 6/a^4 - z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 - 
   (13*z^2)/a^6 + (10*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (10*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 2921] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (3*z^2)/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (13*z^2)/a^6 + (6*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 2922] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 2923] -> a^(-8) - 4/a^6 + 4/a^4 - z^2/a^12 + 
   (3*z^2)/a^10 + z^2/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (2*z^6)/a^8 - (3*z^6)/a^6, 
 Knot[14, NonAlternating, 2924] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 2925] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 9*z^2 - 
   (2*z^2)/a^2 - 12*a^2*z^2 + 4*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 2926] -> -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 + 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 2927] -> 
  a^2 + a^4 - a^6 + z^2 + a^6*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 2928] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 2929] -> -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 2930] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 2931] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^10 - 
   (10*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (7*z^4)/a^8 + 
   (7*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 2932] -> 3 - a^(-10) + 2/a^8 - 3/a^2 + 4*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - z^2/a^4 - (7*z^2)/a^2 + z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 2933] -> 
  3 - a^(-4) - a^4 + 5*z^2 - z^2/a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 2934] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 2/a^4 + 3/a^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 2935] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^10 - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - z^4/a^8 + (2*z^4)/a^4 - z^6/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 2936] -> 3 - a^(-10) + 2/a^8 - 3/a^2 + 
   3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^2 - (3*z^4)/a^6 - 
   (4*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 2937] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - z^2/a^10 + (8*z^2)/a^8 - 
   (13*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - (12*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2938] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 2939] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (26*z^2)/a^8 + (19*z^2)/a^6 + (9*z^4)/a^10 - (26*z^4)/a^8 + (14*z^4)/a^6 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 2940] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 
   9*a^4*z^2 + 32*a^6*z^2 - 16*a^8*z^2 + a^10*z^2 - 8*a^4*z^4 + 31*a^6*z^4 - 
   10*a^8*z^4 - 2*a^4*z^6 + 13*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 2941] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 2942] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 8*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (21*z^2)/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 2943] -> 4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + 
   (5*z^2)/a^14 - (29*z^2)/a^12 + (29*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^14 - 
   (20*z^4)/a^12 + (36*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 2944] -> a^(-10) - 3/a^8 - 2/a^6 + 8/a^4 - 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + z^2/a^6 + (16*z^2)/a^4 - (6*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4, Knot[14, NonAlternating, 2945] -> 
  -4 + 10*a^2 - 6*a^4 + 2*a^6 - a^8 - 10*z^2 + 27*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 6*z^4 + 25*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - z^6 + 
   9*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 2946] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   12*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (26*z^2)/a^2 + a^2*z^2 - 9*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (26*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 2947] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 4*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (23*z^2)/a^2 - 2*a^2*z^2 - 4*z^4 + z^4/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 - 
   a^2*z^4 - z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 2948] -> a^(-14) - 4/a^12 + 3/a^10 + a^(-8) - 
   2/a^6 + 2/a^4 - (6*z^2)/a^12 + (11*z^2)/a^10 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 2949] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2950] -> 2 + a^(-10) - 2/a^8 - a^(-6) + 5/a^4 - 
   4/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 + z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 2951] -> 8 + a^(-4) - 4/a^2 - 6*a^2 + 
   2*a^4 + 15*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 
   11*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 2952] -> 
  2 - a^(-6) + 4/a^4 - 5/a^2 + 2*a^2 - a^4 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 2953] -> 4 - a^(-8) + 3/a^6 - 4/a^4 + a^(-2) - 
   2*a^2 + 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + (5*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 2954] -> a^(-12) - 4/a^10 + 5/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + (6*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 2955] -> 
  -a^(-4) + 3/a^2 - 5*a^2 + 6*a^4 - 2*a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   12*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + z^6/a^2 - 2*a^2*z^6, Knot[14, NonAlternating, 2956] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - z^2/a^10 + (9*z^2)/a^8 - (18*z^2)/a^6 + 
   (12*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^8 - (14*z^4)/a^6 + (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 2957] -> a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 + 
   z^2/a^16 - (6*z^2)/a^14 - z^2/a^12 + (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (5*z^4)/a^14 + (3*z^4)/a^12 + (14*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 2958] -> 5 - 2/a^2 - 5*a^2 + 6*a^4 - 
   3*a^6 + 9*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 
   7*z^4 - z^4/a^2 - 8*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 2959] -> 
  a^(-12) - 4/a^10 + 6/a^8 - 6/a^6 + 4/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (12*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (7*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 2960] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 6*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - 
   7*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 2961] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + 
   (11*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 2962] -> a^(-16) - 3/a^14 + 2/a^12 - a^(-10) + 
   2/a^6 - (4*z^2)/a^14 + (3*z^2)/a^12 + z^2/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 2963] -> -1 - a^(-4) + 2/a^2 + 3*a^4 - 2*a^6 - 
   2*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 2964] -> 
  a^(-12) - 3/a^10 + 2/a^8 + a^(-6) - 2/a^4 + 2/a^2 + z^2/a^12 - 
   (3*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^10 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 2965] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 2966] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 2*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 2967] -> 
  -10 + a^(-6) - 9/a^4 + 17/a^2 + 2*a^2 - 26*z^2 + (2*z^2)/a^6 - 
   (19*z^2)/a^4 + (42*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + z^4/a^6 - 
   (17*z^4)/a^4 + (45*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 2968] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (18*z^2)/a^6 - z^2/a^4 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 - (4*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 2969] -> 
  -5 + a^(-2) + 11*a^2 - 8*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 2970] -> -3 + 8*a^2 - 4*a^4 - 3*z^2 - z^2/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 2971] -> -4 - a^(-8) + 6/a^6 - 14/a^4 + 14/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (36*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (41*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 2972] -> 2/a^10 - 9/a^8 + 11/a^6 - 
   4/a^4 + a^(-2) + z^2/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 2973] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 2974] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 + 6*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - 
   a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 2975] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (14*z^4)/a^2 - z^6 + z^6/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 2976] -> 6 - a^(-8) + 3/a^6 - 2/a^4 - 
   3/a^2 - 2*a^2 + 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 2977] -> 
  a^(-12) - 4/a^10 + 3/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 2978] -> -2 - a^(-4) + 3/a^2 - a^2 + 4*a^4 - 
   2*a^6 - 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 2979] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 
   7*z^2 - z^2/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 3*z^4 - 7*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 2980] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 8*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (13*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 2981] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   5*a^4*z^2 + 17*a^6*z^2 + 2*a^8*z^2 - 5*a^10*z^2 - 4*a^4*z^4 + 15*a^6*z^4 + 
   8*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 2982] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 + (3*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 2983] -> -3 + 6*a^2 - a^4 - a^8 - 7*z^2 + 
   12*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 12*a^2*z^4 + 
   10*a^4*z^4 - a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + 6*a^4*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 2984] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 
   3*z^4 + z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 2985] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 4*z^2 + z^2/a^8 - (10*z^2)/a^6 + 
   (15*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 2986] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - 
   a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 - 2*a^10*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 2987] -> -a^(-8) + 2/a^4 + z^2/a^12 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 2988] -> 1 - a^(-2) + a^2 + a^4 - a^8 + z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 2989] -> 1 + 2*z^2 + z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 2990] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 2991] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 2992] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 9*a^4*z^2 + 32*a^6*z^2 - 16*a^8*z^2 + 
   a^10*z^2 - 8*a^4*z^4 + 31*a^6*z^4 - 10*a^8*z^4 - 2*a^4*z^6 + 13*a^6*z^6 - 
   2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 2993] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (26*z^2)/a^8 + (19*z^2)/a^6 + (9*z^4)/a^10 - (26*z^4)/a^8 + (14*z^4)/a^6 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 2994] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 2995] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 8*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (21*z^2)/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 2996] -> -4 + 10*a^2 - 6*a^4 + 2*a^6 - a^8 - 
   10*z^2 + 27*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 6*z^4 + 
   25*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 2997] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 12*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (26*z^2)/a^2 + a^2*z^2 - 9*z^4 + z^4/a^6 - (13*z^4)/a^4 + (26*z^4)/a^2 - 
   2*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 2998] -> a^(-10) - 3/a^8 - 2/a^6 + 8/a^4 - 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + z^2/a^6 + (16*z^2)/a^4 - (6*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4, Knot[14, NonAlternating, 2999] -> 
  4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + (5*z^2)/a^14 - (29*z^2)/a^12 + 
   (29*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^14 - (20*z^4)/a^12 + (36*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 3000] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - 
   a^2 - 4*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (23*z^2)/a^2 - 2*a^2*z^2 - 
   4*z^4 + z^4/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 - a^2*z^4 - z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 3001] -> -13 + 5/a^2 + 13*a^2 - 4*a^4 - 33*z^2 + 
   (12*z^2)/a^2 + 24*a^2*z^2 - 4*a^4*z^2 - 31*z^4 + (9*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 13*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 3002] -> -7 + 2/a^6 - 10/a^4 + 15/a^2 + a^2 - 
   16*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (33*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 3003] -> 
  -5 - a^(-8) + 4/a^6 - 11/a^4 + 14/a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (22*z^2)/a^4 + (30*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3004] -> -a^(-16) + 8/a^14 - 17/a^12 + 10/a^10 + 
   a^(-8) + (9*z^2)/a^14 - (37*z^2)/a^12 + (32*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^4)/a^14 - (25*z^4)/a^12 + (37*z^4)/a^10 + (8*z^4)/a^8 - 
   (5*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3005] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (3*z^2)/a^12 + (18*z^2)/a^10 - (31*z^2)/a^8 + (20*z^2)/a^6 - z^4/a^12 + 
   (17*z^4)/a^10 - (36*z^4)/a^8 + (18*z^4)/a^6 + (7*z^6)/a^10 - 
   (24*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 3006] -> -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 
   12*a^4*z^2 + 39*a^6*z^2 - 20*a^8*z^2 + a^10*z^2 - 13*a^4*z^4 + 
   44*a^6*z^4 - 15*a^8*z^4 - 6*a^4*z^6 + 26*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 3007] -> 
  5/a^14 - 15/a^12 + 11/a^10 + (2*z^2)/a^16 + z^2/a^14 - (33*z^2)/a^12 + 
   (40*z^2)/a^10 + z^4/a^16 - (5*z^4)/a^14 - (23*z^4)/a^12 + (55*z^4)/a^10 - 
   (2*z^6)/a^14 - (5*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 3008] -> -6 + a^(-6) - 9/a^4 + 15/a^2 - 15*z^2 + 
   z^2/a^6 - (18*z^2)/a^4 + (38*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + 
   (43*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 3009] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (26*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^8 + (22*z^4)/a^6 - 
   (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3010] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   z^2/a^10 + (3*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3011] -> -2*a^2 + 6*a^4 - 3*a^6 + a^8 - a^10 - 
   5*a^2*z^2 + 13*a^4*z^2 - a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 + 5*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 3012] -> a^(-16) - 2/a^14 + a^(-12) - 4/a^10 + 
   5/a^8 + z^2/a^16 - (4*z^2)/a^14 - (2*z^2)/a^12 - z^2/a^10 + (15*z^2)/a^8 - 
   (2*z^4)/a^14 - (2*z^4)/a^12 + (8*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 3013] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3014] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3015] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3016] -> 
  3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 6*z^2 + z^2/a^6 + (5*z^2)/a^4 - 
   (11*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3017] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 3018] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3019] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3020] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (11*z^2)/a^4 + z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^4, Knot[14, NonAlternating, 3021] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   2*z^2 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 3022] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 4*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (7*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3023] -> 3 - 4*a^2 + 2*a^4 + 9*z^2 - (4*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 3024] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3025] -> 
  3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (9*z^2)/a^4 - (12*z^2)/a^2 + z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3026] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3027] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 + 
   a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 3028] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3029] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3030] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (11*z^2)/a^10 - 
   (26*z^2)/a^8 + (21*z^2)/a^6 - (2*z^2)/a^4 + (7*z^4)/a^10 - (28*z^4)/a^8 + 
   (28*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 3031] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 - (5*z^2)/a^12 + (9*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - 
   z^4/a^12 + (8*z^4)/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 3032] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 7*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + 10*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 3033] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 3034] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (21*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 3035] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - z^4/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3036] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3037] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 
   2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 3038] -> -6 - 2/a^4 + 7/a^2 + a^2 + 
   a^4 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 2*a^4*z^2 - 13*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 3039] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 - 
   3*z^2 - z^2/a^8 + (14*z^2)/a^6 - (27*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + 
   (7*z^4)/a^6 - (30*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3040] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + 
   a^(-6) - (4*z^2)/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - 
   z^4/a^12 + (6*z^4)/a^10 + (7*z^4)/a^6 + (2*z^6)/a^10 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 3041] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 12*z^2 - z^2/a^4 - (4*z^2)/a^2 - 2*a^4*z^2 + 
   12*z^4 - (2*z^4)/a^2 - a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3042] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3043] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3044] -> 
  a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3045] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3046] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3047] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3048] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 5*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (24*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + (6*z^4)/a^6 - (27*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 3049] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 3050] -> -a^(-12) + 4/a^10 - 4/a^8 - 
   2/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - (9*z^2)/a^6 + 
   (9*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 - 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3051] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^6 + z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + z^4/a^4 + 
   (6*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3052] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 3053] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (18*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3054] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3055] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 
   5*z^2 - z^2/a^4 + z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3056] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 3057] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 8*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 9*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 3058] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 9*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3059] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (5*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3060] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3061] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 7*z^6 - z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3062] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 + 
   z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 3063] -> 
  2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 3*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 3064] -> 
  -1 - a^(-6) + 3/a^2 - z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3065] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 3066] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 3067] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3068] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 3069] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 5*z^4 - 
   z^4/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3070] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 
   4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 3071] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^6 - 
   z^2/a^4 + (6*z^2)/a^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 3072] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 3073] -> 3 - a^(-2) - a^2 + 4*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 3074] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 3*z^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 3075] -> -a^2 + 8*a^6 - 7*a^8 + a^10 - 4*a^2*z^2 + 
   3*a^4*z^2 + 21*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   22*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 3076] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 3077] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 3078] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3079] -> -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 
   5/a^4 - z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3080] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 10*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 + 5*a^2*z^2 - 12*z^4 + (2*z^4)/a^4 + 4*a^2*z^4 - 
   6*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3081] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (23*z^2)/a^8 + (22*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (22*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 3082] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 12*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3083] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3084] -> 6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 
   11*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - 
   z^4/a^2 - 9*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 3085] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3086] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3087] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 
   3*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 3088] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 
   18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 12*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3089] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 3090] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (5*z^2)/a^14 - (13*z^2)/a^12 + 
   (25*z^2)/a^10 + (4*z^2)/a^8 - (5*z^4)/a^14 - (3*z^4)/a^12 + 
   (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3091] -> -3 - 4/a^4 + 8/a^2 - 8*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - (3*z^4)/a^6 - z^4/a^4 + 
   (18*z^4)/a^2 - z^6 + z^6/a^4 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3092] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 3093] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - z^2 - (2*z^2)/a^2 + 7*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3094] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3095] -> 2*a^2 - a^4 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 3096] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 2*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3097] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 
   2*z^2 + 14*a^2*z^2 - 23*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   11*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 3098] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (23*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3099] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   19*a^2*z^2 - 6*a^4*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3100] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (27*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 3101] -> 
  -9 + 4/a^2 + 8*a^2 - 2*a^4 - 27*z^2 + (10*z^2)/a^2 + 18*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + (8*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 3102] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (26*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 3103] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3104] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 26*z^2 - 
   (4*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 3105] -> -a^(-8) + 2/a^4 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 3106] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 3*a^2*z^2 + 4*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 16*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 3107] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 + z^2/a^16 - (3*z^2)/a^14 - (10*z^2)/a^12 + (12*z^2)/a^10 + 
   (10*z^2)/a^8 - (2*z^4)/a^14 - (7*z^4)/a^12 + (21*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 3108] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - z^4/a^6 + 
   (11*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3109] -> 1 + 2*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 3110] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3111] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3112] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 5*a^4*z^2 + 15*a^6*z^2 + 6*a^8*z^2 - 
   6*a^10*z^2 - 6*a^4*z^4 + 19*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 
   10*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 3113] -> -1 + 5*a^2 - 4*a^4 + a^6 + 3*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3114] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 - 20*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3115] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 3116] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3117] -> a^(-12) - 3/a^10 + 3/a^6 + (3*z^2)/a^12 - 
   (5*z^2)/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (10*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + 
   (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 3118] -> 
  -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 7*z^2 + 10*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 14*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3119] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 
   4*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3120] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (20*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (12*z^4)/a^6 - (23*z^4)/a^4 + 
   (6*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3121] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (25*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 3122] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 3123] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) + z^2/a^14 - (6*z^2)/a^12 + 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^12 + (7*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 + (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 3124] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3125] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 3*a^2*z^2 + 
   6*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   8*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 3126] -> 
  2/a^14 - 5/a^12 + 4/a^8 + z^2/a^16 - z^2/a^14 - (10*z^2)/a^12 + 
   (6*z^2)/a^10 + (13*z^2)/a^8 - (2*z^4)/a^14 - (5*z^4)/a^12 + 
   (12*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 3127] -> a^(-10) - 4/a^8 + 2/a^6 + 
   3/a^4 - a^(-2) - (5*z^2)/a^8 + (6*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3128] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 3129] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 + 
   3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 3130] -> 2*a^2 - a^4 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 3131] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3132] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 3133] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 3134] -> -1 + a^(-2) + a^2 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3135] -> 
  -4 - a^(-6) + 3/a^4 + 3*a^2 - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 3*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3136] -> 
  3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3137] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3138] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + 
   a^4 + 5*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^4 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 3139] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 3140] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 3141] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3142] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^8 - (4*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3143] -> -a^4 + 4*a^6 - 2*a^10 - 3*a^4*z^2 + 
   11*a^6*z^2 + 7*a^8*z^2 - 6*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 
   10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 3144] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (7*z^2)/a^10 - z^2/a^8 + 
   (10*z^2)/a^6 + (3*z^4)/a^12 - (7*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 3145] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 7*z^2 + 
   10*a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 - a^8*z^2 - 5*z^4 + 11*a^2*z^4 + 
   14*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + 7*a^4*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 3146] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 
   3*a^8 - 2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   7*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 3147] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 3148] -> 
  -5 - a^(-4) + 3/a^2 + 6*a^2 - a^4 - a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 11*a^2*z^2 - a^6*z^2 - 12*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   7*a^2*z^4 + a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3149] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 
   3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 3150] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 5*z^2 + (7*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 
   5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 3151] -> 
  2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 - 
   z^6/a^2, Knot[14, NonAlternating, 3152] -> -6 - 2/a^4 + 6/a^2 + 3*a^2 + 
   a^4 - a^6 - 11*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 8*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 3153] -> a^(-14) - 5/a^12 + 10/a^10 - 10/a^8 + 
   3/a^6 + 2/a^4 - (6*z^2)/a^12 + (21*z^2)/a^10 - (23*z^2)/a^8 + 
   (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (15*z^4)/a^10 - (22*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 3154] -> 
  -10 - 3/a^4 + 10/a^2 + 4*a^2 - 19*z^2 - (7*z^2)/a^4 + (21*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - (5*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3155] -> 
  -7 + 4/a^2 + 4*a^2 - 12*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 + z^4/a^2 + 
   a^2*z^4 - z^6, Knot[14, NonAlternating, 3156] -> 
  2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 3157] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 3158] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 + z^2 + 4*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 
   a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 3159] -> -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 + 
   15*a^6*z^2 - 6*a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 9*a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 3160] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 3161] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 3162] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   (2*z^2)/a^14 - (15*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   (6*z^4)/a^12 + (12*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 3163] -> 
  2*a^6 + a^8 - 2*a^10 + 7*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 5*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 3164] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 
   4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 3165] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 - z^2 + (5*z^2)/a^8 - 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^8 - (8*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 3166] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) - (8*z^2)/a^10 + (14*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^10 + (11*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3167] -> 9 - 4/a^2 - 4*a^2 + 14*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 3168] -> 
  2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 3169] -> -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - 
   a^4 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 3170] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4, Knot[14, NonAlternating, 3171] -> 
  -2*a^2 + 7*a^4 - 4*a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 12*a^4*z^2 - 
   3*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3172] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + (6*z^2)/a^10 - (19*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3173] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (5*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 3174] -> 2/a^12 - 8/a^10 + 7/a^8 - 
   (11*z^2)/a^10 + (18*z^2)/a^8 + z^2/a^6 - z^4/a^12 - (2*z^4)/a^10 + 
   (15*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 3175] -> 7 - 3/a^2 - 3*a^2 + 14*z^2 - (5*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 12*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 5*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 3176] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + (9*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^8 + z^4/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 3177] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (12*z^4)/a^2 + (2*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, NonAlternating, 3178] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 3179] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 
   16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 3180] -> 2/a^8 - 6/a^6 + 5/a^4 + (4*z^2)/a^8 - 
   (12*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3181] -> -3*a^2 + 9*a^4 - 5*a^6 - 6*a^2*z^2 + 
   18*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 12*a^4*z^4 - a^8*z^4 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 3182] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 15*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3183] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (24*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - 
   (29*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3184] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - 
   z^4/a^12 + (7*z^4)/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 3185] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 9*z^2 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 3186] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 
   8/a^2 - 4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3187] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3188] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3189] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3190] -> 1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3191] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 3192] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 15*z^2 + z^2/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 
   20*z^4 + z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 3193] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3194] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 
   3*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 3195] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 3196] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 
   18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 12*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3197] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (8*z^2)/a^14 - 
   (7*z^2)/a^12 + (23*z^2)/a^10 + (4*z^2)/a^8 - (5*z^4)/a^14 - z^4/a^12 + 
   (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3198] -> -2 + a^2 + 7*a^4 - 5*a^6 - z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 16*a^4*z^2 - 8*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 3199] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 + (3*z^2)/a^12 - (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 - z^6/a^10 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3200] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3201] -> a^(-16) - 8/a^12 + 8/a^10 - (3*z^2)/a^14 - 
   (9*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + 
   (15*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 3202] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - z^2 - z^2/a^4 + 7*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 3203] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 + (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3204] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3205] -> -1 + 2*a^2 + a^4 - a^8 + 2*z^2 - z^2/a^2 + 
   4*a^4*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3206] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 - (3*z^2)/a^12 + (7*z^2)/a^8 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3207] -> -a^(-8) + 2/a^4 + z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 3208] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - z^4 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 3209] -> 2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3210] -> 3 - a^(-2) + 2*a^2 - 8*a^4 + 7*a^6 - 
   2*a^8 + 7*z^2 - (2*z^2)/a^2 + a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 13*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3211] -> a^(-14) - 5/a^12 + 9/a^10 - 6/a^8 - 
   2/a^6 + 4/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - (13*z^2)/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 + (10*z^4)/a^10 - (13*z^4)/a^8 - (9*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 3212] -> -6 - 2/a^4 + 6/a^2 + 3*a^2 + 
   a^4 - a^6 - 11*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 8*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 3213] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3214] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   3*z^2 + 12*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 3215] -> 2 + 2/a^6 - 3/a^4 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 3216] -> -3 - a^(-6) + a^(-4) + 3/a^2 + 
   a^4 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3217] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 10/a^8 + 3/a^6 + 2/a^4 - (6*z^2)/a^12 + 
   (21*z^2)/a^10 - (23*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (15*z^4)/a^10 - (22*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3218] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (4*z^2)/a^12 + (10*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 + (5*z^4)/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 3219] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - a^2*z^2 - 4*a^4*z^2 + 23*a^6*z^2 - 
   9*a^8*z^2 - a^10*z^2 - a^2*z^4 + 16*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 3220] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 3221] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3222] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + 
   (7*z^2)/a^10 - (17*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + 
   (2*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (4*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 3223] -> 
  -4 + 10*a^2 - 6*a^4 + 2*a^6 - a^8 - 5*z^2 - z^2/a^2 + 18*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 3224] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 3225] -> a^(-14) - 4/a^12 + 7/a^10 - 
   8/a^8 + 4/a^6 + a^(-4) - (4*z^2)/a^12 + (12*z^2)/a^10 - (14*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 3226] -> 
  -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3227] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3228] -> -10 - 2/a^4 + 7/a^2 + 8*a^2 - a^4 - a^6 - 
   21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 3229] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (11*z^2)/a^10 - 
   (19*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - (21*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 3230] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 2*a^2*z^2 - 3*a^4*z^2 + 25*a^6*z^2 - 11*a^8*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 24*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 3231] -> a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + 
   z^2/a^16 - (2*z^2)/a^14 - (19*z^2)/a^12 + (26*z^2)/a^10 + (5*z^2)/a^8 - 
   (2*z^4)/a^14 - (10*z^4)/a^12 + (30*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3232] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + z^2 + 
   z^2/a^8 - (10*z^2)/a^6 + (21*z^2)/a^4 - (8*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^6 + (15*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 3233] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 3234] -> 
  -a^(-8) + 2/a^4 + (3*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 3235] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - z^2 - a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 7*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 3236] -> 
  a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - (2*z^2)/a^14 - 
   (5*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + 
   (7*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 3237] -> a^(-10) - 6/a^8 + 11/a^6 - 
   9/a^4 + 4/a^2 + (2*z^2)/a^10 - (16*z^2)/a^8 + (35*z^2)/a^6 - 
   (27*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + (41*z^4)/a^6 - 
   (29*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 3238] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   5*z^2 + 25*a^2*z^2 - 35*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   26*a^2*z^4 - 43*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 3239] -> a^(-14) - 4/a^12 + 8/a^10 - 11/a^8 + 
   7/a^6 + z^2/a^14 - (9*z^2)/a^12 + (25*z^2)/a^10 - (33*z^2)/a^8 + 
   (20*z^2)/a^6 - (4*z^4)/a^12 + (26*z^4)/a^10 - (42*z^4)/a^8 + 
   (20*z^4)/a^6 + (10*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 3240] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 3241] -> 
  2 + a^(-10) - 5/a^8 + 7/a^6 - 2/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3242] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 17*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3243] -> 3 - a^(-2) + a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   7*z^2 - (2*z^2)/a^2 - 13*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3244] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 - a^(-6) + 3/a^4 - (4*z^2)/a^12 + 
   (12*z^2)/a^10 - (9*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (8*z^4)/a^10 - 
   (10*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3245] -> 1 + a^(-8) - 6/a^6 + 9/a^4 - 4/a^2 + 
   2*z^2 + z^2/a^8 - (9*z^2)/a^6 + (19*z^2)/a^4 - (10*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^6 + (14*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 3246] -> 
  -3 + 8*a^2 - 4*a^4 - 8*z^2 + 22*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 3247] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 7*a^4*z^2 + 26*a^6*z^2 - 11*a^8*z^2 - 7*a^4*z^4 + 
   27*a^6*z^4 - 8*a^8*z^4 - 2*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 3248] -> 2/a^10 - 7/a^8 + 6/a^6 + (7*z^2)/a^10 - 
   (20*z^2)/a^8 + (17*z^2)/a^6 + (7*z^4)/a^10 - (22*z^4)/a^8 + (13*z^4)/a^6 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3249] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 3250] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 11*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3251] -> 7 - 3/a^2 - 3*a^2 + 12*z^2 - (4*z^2)/a^2 - 
   5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 3252] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 10*z^2 + 25*a^2*z^2 - 9*a^4*z^2 - 6*z^4 + 
   24*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3253] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + (4*z^2)/a^14 - (24*z^2)/a^12 + 
   (23*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^14 - (18*z^4)/a^12 + (32*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 3254] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 2*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   10*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 3255] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   6*a^2*z^2 - 18*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3256] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 20*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 3257] -> a^(-10) - 3/a^8 + 4/a^6 - 
   4/a^4 + 3/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (13*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3258] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 
   15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3259] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - 
   (21*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^8 + (13*z^4)/a^6 - (25*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3260] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 3261] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 17*a^2*z^2 - 20*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 14*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 3262] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3263] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3264] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 20*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3265] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (8*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3266] -> 2 + 2/a^6 - 3/a^4 + 4*z^2 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3267] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3268] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3269] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   10*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 3270] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (15*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3271] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3272] -> -11 + 5/a^2 + 9*a^2 - 2*a^4 - 22*z^2 + 
   (6*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3273] -> -8 - a^(-6) + a^(-4) + 5/a^2 + 4*a^2 - 
   14*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 3274] -> 3 - 2/a^8 + 7/a^6 - 8/a^4 + 2/a^2 - a^2 + 
   6*z^2 - z^2/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + z^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 3275] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 3276] -> 
  -a^4 + 6*a^6 - 4*a^8 - 2*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - 
   a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 3277] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3278] -> -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 
   33*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 32*a^2*z^2 - 9*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 31*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3279] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^4)/a^12 + (15*z^4)/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + (4*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 3280] -> 
  -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3281] -> 2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 
   2*a^4 + z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 3282] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 
   2/a^6 + 2/a^4 - (4*z^2)/a^12 + (5*z^2)/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 + z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 3283] -> 3 - a^(-2) - 2*a^2 + 3*a^6 - 
   2*a^8 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   3*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 3284] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   7*z^2 - z^2/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + 
   (6*z^4)/a^6 - (27*z^4)/a^4 + (30*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3285] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (24*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (19*z^4)/a^4 + 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3286] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3287] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (30*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 - (6*z^4)/a^8 + (28*z^4)/a^6 - 
   (29*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3288] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3289] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3290] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (22*z^2)/a^8 + (18*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (14*z^4)/a^6 - (2*z^4)/a^4 - (4*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 3291] -> -10 + 2/a^2 + 17*a^2 - 9*a^4 + 
   a^6 - 26*z^2 + (5*z^2)/a^2 + 42*a^2*z^2 - 19*a^4*z^2 + 2*a^6*z^2 - 
   26*z^4 + (4*z^4)/a^2 + 45*a^2*z^4 - 17*a^4*z^4 + a^6*z^4 - 12*z^6 + 
   z^6/a^2 + 26*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 3292] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3293] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3294] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 3295] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 
   9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 3296] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 
   2*a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3297] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3298] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3299] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 
   3*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 3300] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 3301] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 
   18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 12*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3302] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (5*z^2)/a^14 - (13*z^2)/a^12 + 
   (25*z^2)/a^10 + (4*z^2)/a^8 - (5*z^4)/a^14 - (3*z^4)/a^12 + 
   (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3303] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 - (5*z^2)/a^12 + (9*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - 
   z^4/a^12 + (8*z^4)/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 3304] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3305] -> -3 - 4/a^4 + 8/a^2 - 8*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - (3*z^4)/a^6 - z^4/a^4 + 
   (18*z^4)/a^2 - z^6 + z^6/a^4 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3306] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 7*z^2 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 10*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3307] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - z^2 - (2*z^2)/a^2 + 7*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3308] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3309] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4/a^8 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 3310] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 2*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3311] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 14*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 2*a^4*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 3312] -> 
  2*a^2 - a^4 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3313] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 
   2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 3314] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 
   18*z^2 + z^2/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (6*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 3315] -> a^(-10) - 5/a^8 + 11/a^6 - 
   12/a^4 + 6/a^2 + z^2/a^10 - (8*z^2)/a^8 + (24*z^2)/a^6 - (29*z^2)/a^4 + 
   (11*z^2)/a^2 - (5*z^4)/a^8 + (19*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 3316] -> -2/a^12 + 9/a^10 - 15/a^8 + 9/a^6 - 
   (2*z^2)/a^12 + (17*z^2)/a^10 - (33*z^2)/a^8 + (21*z^2)/a^6 + 
   (11*z^4)/a^10 - (30*z^4)/a^8 + (15*z^4)/a^6 + (2*z^6)/a^10 - 
   (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3317] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 3318] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 3319] -> a^2 + a^4 - a^6 + z^2 + a^6*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 3320] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3321] -> -4*a^4 + 15*a^6 - 13*a^8 + 3*a^10 - 
   11*a^4*z^2 + 38*a^6*z^2 - 22*a^8*z^2 + 2*a^10*z^2 - 9*a^4*z^4 + 
   35*a^6*z^4 - 12*a^8*z^4 - 2*a^4*z^6 + 14*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 3322] -> -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 
   7*z^2 + 26*a^2*z^2 - 27*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 23*a^4*z^4 + 6*a^6*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3323] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - 6*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (19*z^2)/a^2 - 8*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 3324] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 7*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3325] -> a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 
   7/a^6 - (6*z^2)/a^12 + (21*z^2)/a^10 - (28*z^2)/a^8 + (18*z^2)/a^6 - 
   z^4/a^12 + (15*z^4)/a^10 - (26*z^4)/a^8 + (14*z^4)/a^6 + (3*z^6)/a^10 - 
   (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3326] -> -a^(-16) + 8/a^14 - 17/a^12 + 10/a^10 + 
   a^(-8) + (8*z^2)/a^14 - (36*z^2)/a^12 + (33*z^2)/a^10 + (4*z^2)/a^8 + 
   z^4/a^14 - (23*z^4)/a^12 + (39*z^4)/a^10 + (7*z^4)/a^8 - (4*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3327] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 
   9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 3328] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) - z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - 
   z^4/a^8 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 3329] -> 3 - a^(-4) - a^4 + 5*z^2 - z^2/a^4 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 3330] -> a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 
   4/a^6 + a^(-4) - (4*z^2)/a^12 + (12*z^2)/a^10 - (14*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 3331] -> 
  -5 + 14*a^2 - 11*a^4 + 4*a^6 - a^8 - 10*z^2 + 31*a^2*z^2 - 23*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 6*z^4 + 26*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 - z^6 + 
   9*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3332] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 3333] -> 
  -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 30*z^2 - (4*z^2)/a^4 + 
   (21*z^2)/a^2 + 16*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   11*a^2*z^4 - 13*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 3334] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 3335] -> 
  2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   10*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3336] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 5/a^8 - a^(-6) + 3/a^4 - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (10*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (9*z^4)/a^10 - 
   (10*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3337] -> 2 + a^(-10) - 4/a^8 + 3/a^6 + 3/a^4 - 
   4/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 3338] -> 
  4 - a^(-2) - 3*a^2 - a^4 + 4*a^6 - 2*a^8 + 8*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3339] -> 
  a^(-14) - 3/a^12 + 2/a^10 + a^(-8) - 3/a^6 + 3/a^4 - (4*z^2)/a^12 + 
   (8*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (7*z^4)/a^10 - 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3340] -> -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - 
   z^2/a^10 + (9*z^2)/a^8 - (18*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 + 
   (4*z^4)/a^8 - (14*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 3341] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 14*a^2*z^2 - 23*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - z^4 + 11*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 3342] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (23*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3343] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 
   18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3344] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (26*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - (27*z^4)/a^4 + 
   (8*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3345] -> -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 
   2*a^2*z^2 + 2*a^4*z^2 + 14*a^6*z^2 - 6*a^8*z^2 - a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 11*a^6*z^4 - a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 3346] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 + (5*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 3347] -> 
  -a^(-2) + 5*a^2 - 4*a^4 + 2*a^6 - a^8 + z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 3348] -> 
  2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 - 
   z^6/a^2, Knot[14, NonAlternating, 3349] -> a^(-4) - 2/a^2 + 4*a^2 - 
   2*a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3350] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   9*z^2 + z^2/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 3351] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 3*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - a^2*z^2 - (6*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 3352] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - (6*z^2)/a^12 + (17*z^2)/a^10 - 
   (19*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - 
   (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3353] -> a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 3354] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 - z^4/a^6 - z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 3355] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 7*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 + 5*a^2*z^4 - 
   3*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 3356] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 3357] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 3358] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   19*z^2 - z^2/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 3359] -> a^(-14) - 3/a^12 + 4/a^8 - 
   3/a^6 + 2/a^4 - (5*z^2)/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 + z^4/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 3360] -> 
  -a^(-6) + 3/a^4 - 3/a^2 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 3361] -> 
  2 + a^(-10) - 3/a^8 + 2/a^6 + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 3362] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3363] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3364] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 3365] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 
   9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 3366] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 
   2*a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3367] -> 
  -5 + a^(-2) + 11*a^2 - 8*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 3368] -> -3 + 8*a^2 - 4*a^4 - 3*z^2 - z^2/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3369] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 - (3*z^2)/a^14 - (6*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + (13*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 3370] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + 3*z^2 - 
   z^2/a^4 - a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 3371] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + z^2/a^12 - (3*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3372] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 - (5*z^2)/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 3373] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3374] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (8*z^4)/a^4 - (7*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3375] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 3376] -> a^(-10) - 6/a^8 + 10/a^6 - 
   7/a^4 + 3/a^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (24*z^2)/a^4 + 
   (8*z^2)/a^2 - (7*z^4)/a^8 + (30*z^4)/a^6 - (31*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3377] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (17*z^2)/a^4 + (12*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (20*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 3378] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3379] -> a^(-10) - 7/a^8 + 11/a^6 - 6/a^4 + 2/a^2 + 
   z^2/a^10 - (13*z^2)/a^8 + (32*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^8 + (31*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3380] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   z^2/a^8 + (7*z^2)/a^6 - z^4/a^12 + (6*z^4)/a^10 - z^4/a^8 + (7*z^4)/a^6 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 3381] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 + 
   z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 6*z^4 - z^4/a^2 + 
   4*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3382] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (10*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (21*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 3383] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3384] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^2 - z^4/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3385] -> 1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3386] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3387] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 
   5*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3388] -> a^(-14) - 5/a^12 + 7/a^10 - 4/a^8 + 
   2/a^4 - (6*z^2)/a^12 + (16*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 3389] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 3*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3390] -> 
  2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3391] -> a^(-14) - 4/a^12 + 3/a^10 + a^(-8) - 
   2/a^6 + 2/a^4 - (6*z^2)/a^12 + (11*z^2)/a^10 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3392] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3393] -> 2 + a^(-10) - 2/a^8 - a^(-6) + 5/a^4 - 
   4/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 + z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 3394] -> 2 - a^(-6) + 4/a^4 - 5/a^2 + 
   2*a^2 - a^4 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 3395] -> 
  8 + a^(-4) - 4/a^2 - 6*a^2 + 2*a^4 + 15*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 
   10*a^2*z^2 + 2*a^4*z^2 + 11*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3396] -> a^(-12) - 3/a^10 + a^(-8) + 4/a^6 - 
   5/a^4 + 3/a^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 + (3*z^4)/a^8 + (4*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3397] -> 
  -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 14*a^6*z^2 - 
   6*a^8*z^2 - a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 11*a^6*z^4 - a^10*z^4 + 
   a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 3398] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (5*z^2)/a^10 - (10*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 3399] -> -a^(-2) + 5*a^2 - 4*a^4 + 2*a^6 - a^8 + 
   z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 3400] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 27*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 31*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3401] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 3402] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - z^4 + 6*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 3403] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 21*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (26*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (33*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - (10*z^6)/a^4 + (21*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3404] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 6*z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (21*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (31*z^4)/a^2 - 6*z^6 - (9*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3405] -> a^(-14) - 2/a^12 - a^(-8) + 3/a^6 - 
   (3*z^2)/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 3406] -> -a^(-12) + 4/a^10 - 4/a^8 - 
   2/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 3407] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (6*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3408] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 - z^2 - 
   z^2/a^4 + 14*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3409] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 3410] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (12*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3411] -> 4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 - a^4*z^4, 
 Knot[14, NonAlternating, 3412] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 6*z^2 - 
   z^2/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 
   11*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 3413] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 + 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3414] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 - 2*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   4*z^4 - (7*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3415] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - 
   (6*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^8 - 
   (9*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3416] -> -a^(-12) + 3/a^10 - a^(-8) - 4/a^6 + 
   3/a^4 + a^(-2) + (3*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6, Knot[14, NonAlternating, 3417] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 14*z^2 - z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3418] -> 
  2 - 3/a^8 + 8/a^6 - 6/a^4 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (9*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 3419] -> 
  -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (11*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^8 - (9*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3420] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + 2*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (13*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (12*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3421] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 - z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   2*z^4 - (5*z^4)/a^6 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3422] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 + 
   z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3423] -> 4 + 3/a^4 - 6/a^2 + 6*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (13*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3424] -> 6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 9*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 4*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 3425] -> 
  a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (30*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 - (7*z^4)/a^8 + (30*z^4)/a^6 - 
   (31*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3426] -> 5 - 3/a^2 + a^2 - 2*a^4 + 12*z^2 - 
   z^2/a^4 - (4*z^2)/a^2 - 2*a^4*z^2 + 12*z^4 - (2*z^4)/a^2 - a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3427] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - (4*z^2)/a^12 + (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (6*z^2)/a^6 - z^4/a^12 + (6*z^4)/a^10 + (7*z^4)/a^6 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 3428] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3429] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3430] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3431] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3432] -> a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + 
   z^2/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 3433] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3434] -> -7 - a^(-4) + 3/a^2 + 11*a^2 - 5*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3435] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 10*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 + 5*a^2*z^2 - 12*z^4 + (2*z^4)/a^4 + 4*a^2*z^4 - 
   6*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3436] -> 
  -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 5/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (2*z^2)/a^8 - (12*z^2)/a^6 + (10*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (14*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3437] -> 2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 
   2/a^6 + z^2/a^14 - (11*z^2)/a^12 + (16*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^12 + (17*z^4)/a^10 - (11*z^4)/a^8 + (10*z^4)/a^6 + 
   (5*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3438] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 
   4*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   15*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3439] -> 1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3440] -> 6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 
   11*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - 
   z^4/a^2 - 9*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 3441] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3442] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3443] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (4*z^2)/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^4)/a^14 - (5*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (2*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 3444] -> 
  1 - a^(-2) + 4*a^4 - 3*a^6 + 2*z^2 - (2*z^2)/a^2 + 12*a^4*z^2 - 6*a^6*z^2 + 
   4*z^4 - z^4/a^2 - a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3445] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 3446] -> 
  1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3447] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 7*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   13*a^4*z^2 - 4*a^6*z^2 + 6*z^4 - z^4/a^2 - 9*a^2*z^4 + 10*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 3448] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - (34*z^2)/a^4 + (25*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (43*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3449] -> a^(-10) - 5/a^8 + 6/a^6 - 
   2/a^4 + a^(-2) + z^2/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3450] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 3451] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (30*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + z^4/a^6 - (14*z^4)/a^4 + 
   (34*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3452] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 
   (5*z^2)/a^8 + (25*z^2)/a^6 - (32*z^2)/a^4 + (13*z^2)/a^2 - (2*z^4)/a^8 + 
   (22*z^4)/a^6 - (40*z^4)/a^4 + (13*z^4)/a^2 + (8*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3453] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - (5*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3454] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3455] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   31*z^2 - (5*z^2)/a^4 + (22*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 35*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3456] -> -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 
   33*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 32*a^2*z^2 - 9*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 31*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3457] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^4)/a^12 + (15*z^4)/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + (4*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 3458] -> 
  -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3459] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - 7*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3460] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 3461] -> 
  a^(-14) - 5/a^12 + 7/a^10 - 4/a^8 + 2/a^4 - (6*z^2)/a^12 + (16*z^2)/a^10 - 
   (10*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - 
   (13*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3462] -> 2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 
   3*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4 + 
   z^4/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 3463] -> -1 - a^(-6) + 3/a^2 - z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 3464] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   z^4/a^10 - z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3465] -> 3 - a^(-10) + 2/a^8 - 3/a^2 + 4*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - z^2/a^4 - (7*z^2)/a^2 + z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 3466] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 3*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3467] -> 
  2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3468] -> -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 3469] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - 6*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 3470] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 2*z^4 - 
   z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3471] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   9*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 3472] -> -a^2 + 8*a^6 - 7*a^8 + a^10 - 4*a^2*z^2 + 
   3*a^4*z^2 + 21*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   22*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 3473] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (20*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3474] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 3475] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - z^4 + 8*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3476] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   29*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 3477] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (22*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 - 
   (9*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 3478] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (3*z^2)/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (13*z^2)/a^6 + (6*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 3479] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 3480] -> -a^(-12) + 3/a^10 - 7/a^6 + 6/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (10*z^4)/a^6 + (4*z^4)/a^4 - (2*z^6)/a^8 - 
   (3*z^6)/a^6, Knot[14, NonAlternating, 3481] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3482] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - (9*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 3483] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 3484] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (10*z^2)/a^10 - 
   (18*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (6*z^4)/a^10 - (14*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 3485] -> 
  -5 + 3/a^2 + 3*a^2 - 10*z^2 + z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 3486] -> -3 - 2/a^4 + 5/a^2 + a^2 - 3*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 3487] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 2*a^2*z^2 - a^4*z^2 + 22*a^6*z^2 - 
   12*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 16*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 3488] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3489] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 3490] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 + (5*z^2)/a^10 - (15*z^2)/a^8 + 
   (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - (9*z^4)/a^8 + (10*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 3491] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 3492] -> 
  4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + (3*z^2)/a^14 - (21*z^2)/a^12 + 
   (19*z^2)/a^10 + (9*z^2)/a^8 - (10*z^4)/a^12 + (19*z^4)/a^10 + 
   (14*z^4)/a^8 - z^6/a^12 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3493] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 3494] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 3495] -> -4 + 10*a^2 - 6*a^4 + 2*a^6 - 
   a^8 - 2*z^2 - (2*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 
   a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3496] -> -4 + 3/a^2 - a^2 + 5*a^4 - 2*a^6 - 9*z^2 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 7*z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 3497] -> -3 + a^(-8) - 4/a^6 + 3/a^4 + 3/a^2 + 
   a^2 - 6*z^2 + z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 3498] -> 
  4 - a^(-8) + 2/a^6 - 2/a^4 - 2*a^2 + 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 3499] -> 
  2/a^14 - 4/a^12 - 2/a^10 + 5/a^8 + (2*z^2)/a^14 - (10*z^2)/a^12 + 
   z^2/a^10 + (14*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^12 + (6*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 3500] -> -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 + 
   (5*z^4)/a^10 - (7*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3501] -> -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 
   11*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 3502] -> a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 
   4/a^8 + z^2/a^16 - (3*z^2)/a^14 - (7*z^2)/a^12 + (5*z^2)/a^10 + 
   (13*z^2)/a^8 - (2*z^4)/a^14 - (4*z^4)/a^12 + (12*z^4)/a^10 + 
   (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3503] -> 3 - a^(-6) + a^(-2) - 2*a^2 + 6*z^2 - 
   z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 3504] -> a^(-12) - 4/a^10 + 5/a^8 - 
   a^(-6) - 3/a^4 + 3/a^2 - (4*z^2)/a^10 + (12*z^2)/a^8 - (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 + (8*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 3505] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 3506] -> 
  -1 + 2*a^2 + a^4 - a^6 + a^8 - a^10 - 2*z^2 + 3*a^2*z^2 + 5*a^4*z^2 - z^4 + 
   2*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 3507] -> a^(-16) - 2/a^14 + 2/a^6 - (2*z^2)/a^14 - 
   z^2/a^12 + z^2/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 3508] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 3509] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 9*z^2 - 
   (2*z^2)/a^2 - 12*a^2*z^2 + 4*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3510] -> -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 + 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 3511] -> 
  4*a^2 - 5*a^4 + 2*a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   4*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3512] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + 
   a^(-4) + a^(-2) + (4*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (7*z^4)/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 3513] -> 3 - a^(-10) + 2/a^8 - 3/a^2 + 
   3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^2 - (3*z^4)/a^6 - 
   (4*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 3514] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - z^2/a^10 + (8*z^2)/a^8 - 
   (13*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - (12*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3515] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3516] -> -1 + a^(-8) - 4/a^6 + 5/a^4 - a^(-2) + 
   a^2 - z^2 + z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + 
   z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 3517] -> 
  6 - a^(-8) + 2/a^6 - 4/a^2 - 2*a^2 + 12*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3518] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3519] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 7*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   5*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3520] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + 
   a^(-4) + a^(-2) + (5*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3521] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - z^4 + 4*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3522] -> 2 + 2/a^6 - 3/a^4 - 3*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3523] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4/a^6 - (10*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[14, NonAlternating, 3524] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3525] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (5*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 3526] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 3527] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 3528] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   (5*z^4)/a^8 + (16*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3529] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3530] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   28*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 35*z^4 - 
   z^4/a^4 + (18*z^4)/a^2 + 17*a^2*z^4 - a^4*z^4 - 24*z^6 + (7*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3531] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3532] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3533] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3534] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3535] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   6*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3536] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 3537] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3538] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 3539] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 
   3*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 3540] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 
   4*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3541] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3542] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3543] -> 
  a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (25*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 - (6*z^4)/a^8 + (25*z^4)/a^6 - 
   (32*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3544] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 3545] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 3546] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (4*z^2)/a^10 - (21*z^2)/a^8 + 
   (29*z^2)/a^6 - (7*z^2)/a^4 + (2*z^4)/a^10 - (20*z^4)/a^8 + (37*z^4)/a^6 - 
   (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 3547] -> 
  -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - (5*z^2)/a^8 + (25*z^2)/a^6 - 
   (32*z^2)/a^4 + (13*z^2)/a^2 - (2*z^4)/a^8 + (22*z^4)/a^6 - (40*z^4)/a^4 + 
   (13*z^4)/a^2 + (8*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3548] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 9*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + 
   (29*z^2)/a^2 - a^2*z^2 - 6*z^4 + z^4/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 - 
   a^2*z^4 - z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 3549] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 + z^2/a^14 - (9*z^2)/a^12 + (20*z^2)/a^10 - (21*z^2)/a^8 + 
   (15*z^2)/a^6 - (4*z^4)/a^12 + (20*z^4)/a^10 - (25*z^4)/a^8 + 
   (14*z^4)/a^6 + (6*z^6)/a^10 - (14*z^6)/a^8 + (4*z^6)/a^6 - (3*z^8)/a^8, 
 Knot[14, NonAlternating, 3550] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   5*z^2 + 20*a^2*z^2 - 23*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   20*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 3551] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3552] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 9*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + 
   (26*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3553] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   31*z^2 - (5*z^2)/a^4 + (22*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 35*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3554] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 18*z^2 + 
   (4*z^2)/a^2 + 27*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   32*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 3555] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3556] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 + z^2/a^14 - (9*z^2)/a^12 + (18*z^2)/a^10 - (17*z^2)/a^8 + 
   (13*z^2)/a^6 - (4*z^4)/a^12 + (17*z^4)/a^10 - (17*z^4)/a^8 + 
   (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3557] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   5*z^2 + 18*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3558] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 3559] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   14*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (28*z^2)/a^2 + 2*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3560] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (20*z^2)/a^8 + (26*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (24*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3561] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + 
   (3*z^2)/a^2 + 26*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3562] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (5*z^2)/a^12 + (10*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (11*z^4)/a^10 - 
   (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3563] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 3564] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 12*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 14*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   7*z^6 - z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3565] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3566] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (8*z^4)/a^4 - (7*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3567] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^4, Knot[14, NonAlternating, 3568] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 
   2*a^6 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 3569] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3570] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3571] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 3572] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3573] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 3574] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (3*z^2)/a^14 - (6*z^2)/a^12 + 
   (11*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (13*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 3575] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + 
   3*z^2 - z^2/a^4 - a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 3576] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + z^2/a^12 - (3*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3577] -> 3/a^6 - 7/a^4 + 5/a^2 - 4*z^2 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3578] -> -3/a^8 + 4/a^6 + (6*z^2)/a^10 - 
   (16*z^2)/a^8 + (16*z^2)/a^6 + (11*z^4)/a^10 - (29*z^4)/a^8 + 
   (17*z^4)/a^6 + (6*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 3579] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 9*a^4*z^2 + 27*a^6*z^2 - 5*a^8*z^2 - 
   3*a^10*z^2 - 12*a^4*z^4 + 38*a^6*z^4 - 8*a^8*z^4 - a^10*z^4 - 6*a^4*z^6 + 
   25*a^6*z^6 - 5*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 3580] -> 2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + 
   (3*z^2)/a^16 - (9*z^2)/a^14 - (16*z^2)/a^12 + (34*z^2)/a^10 + z^4/a^16 - 
   (8*z^4)/a^14 - (13*z^4)/a^12 + (53*z^4)/a^10 - (2*z^6)/a^14 - 
   (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 3581] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 9*z^2 - 
   (8*z^2)/a^4 + (21*z^2)/a^2 - 12*z^4 - (12*z^4)/a^4 + (33*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 3582] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (9*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + (12*z^4)/a^6 - (33*z^4)/a^4 + 
   (12*z^4)/a^2 + (6*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3583] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3584] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   2*a^2*z^2 + a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 3585] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + z^2/a^16 - (3*z^2)/a^14 - 
   (12*z^2)/a^12 + (16*z^2)/a^10 + (9*z^2)/a^8 - (2*z^4)/a^14 - 
   (5*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 3586] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3587] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 + (7*z^2)/a^6 - (11*z^2)/a^4 + 3*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 3588] -> -2*a^6 + 9*a^8 - 6*a^10 - 
   9*a^6*z^2 + 40*a^8*z^2 - 19*a^10*z^2 - 12*a^6*z^4 + 54*a^8*z^4 - 
   18*a^10*z^4 - 6*a^6*z^6 + 32*a^8*z^6 - 7*a^10*z^6 - a^6*z^8 + 9*a^8*z^8 - 
   a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 3589] -> 
  2/a^12 - 8/a^10 + 7/a^8 + (9*z^2)/a^12 - (30*z^2)/a^10 + (29*z^2)/a^8 + 
   (12*z^4)/a^12 - (39*z^4)/a^10 + (33*z^4)/a^8 + (6*z^6)/a^12 - 
   (25*z^6)/a^10 + (14*z^6)/a^8 + z^8/a^12 - (8*z^8)/a^10 + (2*z^8)/a^8 - 
   z^10/a^10, Knot[14, NonAlternating, 3590] -> 
  -5*a^2 + 11*a^4 - 3*a^6 - 2*a^8 - 20*a^2*z^2 + 44*a^4*z^2 - 9*a^6*z^2 - 
   5*a^8*z^2 - 21*a^2*z^4 + 59*a^4*z^4 - 8*a^6*z^4 - 4*a^8*z^4 - 8*a^2*z^6 + 
   36*a^4*z^6 - 2*a^6*z^6 - a^8*z^6 - a^2*z^8 + 10*a^4*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 3591] -> -a^6 + 7*a^8 - 5*a^10 - 2*a^4*z^2 + 
   5*a^6*z^2 + 17*a^8*z^2 - 9*a^10*z^2 - 3*a^4*z^4 + 9*a^6*z^4 + 15*a^8*z^4 - 
   5*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 3592] -> 2/a^12 - 7/a^10 + 5/a^8 + 
   a^(-6) + (5*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^4)/a^12 - (11*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 + z^6/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 3593] -> -1 - 2*a^2 + 9*a^4 - 4*a^6 - a^8 - 6*z^2 + 
   2*a^2*z^2 + 22*a^4*z^2 - 7*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 
   20*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + 8*a^4*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 3594] -> -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 
   4*a^4*z^2 + 11*a^6*z^2 + 12*a^8*z^2 - 8*a^10*z^2 - 4*a^4*z^4 + 
   13*a^6*z^4 + 13*a^8*z^4 - 5*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 3595] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (4*z^2)/a^12 - (9*z^2)/a^10 + 
   (2*z^2)/a^8 + (10*z^2)/a^6 + (4*z^4)/a^12 - (9*z^4)/a^10 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 3596] -> 
  -1 - a^2 + 6*a^4 - a^6 - 2*a^8 - 6*z^2 + 4*a^2*z^2 + 16*a^4*z^2 - 
   2*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 10*a^2*z^4 + 16*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 + 7*a^4*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 3597] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 
   3/a^2 - z^2/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 3598] -> -2/a^6 + 3/a^4 + 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 3599] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 
   a^2*z^2 + a^4*z^2 + 9*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 3600] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 3601] -> 
  -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 + 
   5*a^4*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 3602] -> 
  1 - a^(-10) + 3/a^8 - a^(-6) - 3/a^4 + 2/a^2 + 2*z^2 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 3603] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + z^2/a^6 + z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 3604] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + 
   (8*z^2)/a^2 + (6*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3605] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   4*z^4 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 3606] -> 5*a^8 - 4*a^10 + 2*a^6*z^2 + 
   16*a^8*z^2 - 8*a^10*z^2 + a^6*z^4 + 17*a^8*z^4 - 5*a^10*z^4 + 7*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 3607] -> 
  -a^4 + 4*a^6 - 2*a^10 + 8*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 5*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 3608] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3609] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 3610] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 3*a^4*z^2 - 
   a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + a^4*z^4 + 6*a^8*z^4 - a^10*z^4 + 
   a^8*z^6, Knot[14, NonAlternating, 3611] -> 2*a^6 + a^8 - 2*a^10 + 
   a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 3612] -> -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3613] -> 2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (21*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^4)/a^12 + (19*z^4)/a^10 - (15*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3614] -> -1 + 4*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 
   4*z^2 + 15*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3615] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3616] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (30*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3617] -> a^(-10) - 5/a^8 + 8/a^6 - 
   6/a^4 + 3/a^2 + z^2/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (19*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^8 + (18*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3618] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3619] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3620] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (24*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - 
   (29*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3621] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^6 + z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + z^4/a^4 + 
   (6*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3622] -> -2/a^6 + 3/a^4 + z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3623] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3624] -> -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 
   4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - (9*z^2)/a^6 + 
   (9*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 - 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3625] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3626] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3627] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 8*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 9*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - 5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 3628] -> 
  1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 5*z^4 + z^4/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3629] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 3630] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3631] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - z^2/a^12 + (11*z^2)/a^10 - (26*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^2)/a^4 + (7*z^4)/a^10 - (28*z^4)/a^8 + (28*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^10 - (13*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 3632] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (25*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 3633] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3634] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3635] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (22*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (22*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3636] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 12*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3637] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 - 3*z^2 - z^2/a^8 + (14*z^2)/a^6 - 
   (27*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + (7*z^4)/a^6 - (30*z^4)/a^4 + 
   (25*z^4)/a^2 - 5*z^6 + z^6/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 3638] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (22*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (21*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3639] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3640] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3641] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (18*z^2)/a^4 + (29*z^2)/a^2 - a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (29*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 3642] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (4*z^2)/a^10 - (21*z^2)/a^8 + 
   (29*z^2)/a^6 - (7*z^2)/a^4 + (2*z^4)/a^10 - (20*z^4)/a^8 + (37*z^4)/a^6 - 
   (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 3643] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (22*z^2)/a^8 + 
   (30*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (32*z^4)/a^6 - 
   (8*z^4)/a^4 - (6*z^6)/a^8 + (15*z^6)/a^6 - (3*z^6)/a^4 + (3*z^8)/a^6, 
 Knot[14, NonAlternating, 3644] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 17*z^2 + 
   (3*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - z^8 + 2*a^2*z^8, Knot[14, NonAlternating, 3645] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 18*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 
   11*a^4*z^2 + a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 32*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 3646] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 9*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + 
   (26*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3647] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3648] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3649] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3650] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 
   3*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 3651] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 
   18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 12*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3652] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 3653] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 5*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (24*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + (6*z^4)/a^6 - (27*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 3654] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3655] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3656] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3657] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 24*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3658] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 9*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3659] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^4 + z^2/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 3660] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (26*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3661] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3662] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (24*z^2)/a^6 - (23*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (33*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3663] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 3664] -> -3/a^8 + 4/a^6 + (6*z^2)/a^10 - 
   (12*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (7*z^4)/a^10 - (17*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 3665] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 2*a^2*z^2 - a^4*z^2 + 19*a^6*z^2 - 
   5*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 20*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 3666] -> 2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + 
   z^2/a^16 - (5*z^2)/a^14 - (12*z^2)/a^12 + (22*z^2)/a^10 + (6*z^2)/a^8 - 
   (2*z^4)/a^14 - (7*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3667] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   z^2/a^12 - (10*z^2)/a^10 + (14*z^2)/a^8 + (2*z^2)/a^4 - (3*z^4)/a^10 + 
   (12*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 3668] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 - 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3669] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3670] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (11*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 + z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3671] -> a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 3672] -> 
  -a^2 + 5*a^4 - 3*a^6 + z^2/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   z^4/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 3673] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - z^2 + 
   a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 
   6*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 3674] -> a^(-16) - 7/a^12 + 6/a^10 + a^(-8) - 
   (2*z^2)/a^14 - (8*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 3675] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - (4*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 3676] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (10*z^2)/a^4 + z^4 - (5*z^4)/a^8 + (12*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 3677] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3678] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 + 
   2*z^2 - z^2/a^2 + 8*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3679] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (15*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (10*z^4)/a^10 - 
   (13*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3680] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   3*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 3681] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 
   7*a^4*z^2 + 21*a^6*z^2 + a^8*z^2 - 5*a^10*z^2 - 7*a^4*z^4 + 23*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 3682] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (10*z^2)/a^8 + (14*z^2)/a^6 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3683] -> -2 + 3*a^2 + a^4 + a^6 - 2*a^8 - 7*z^2 + 
   12*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 15*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 + a^6*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 3684] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 - z^2/a^10 + (6*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + 
   (3*z^4)/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 3685] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - a^2*z^2 - a^4*z^2 + 15*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 3686] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 10*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 3687] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (11*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 3688] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (8*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 3689] -> -3 + 6*a^2 - a^4 - a^8 - 
   2*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 9*a^2*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 3690] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 3*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 3691] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 6/a^6 + 5/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (11*z^2)/a^6 + (9*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (9*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 3692] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 5*a^4*z^2 + 15*a^6*z^2 + 6*a^8*z^2 - 
   6*a^10*z^2 - 6*a^4*z^4 + 19*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 
   10*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 3693] -> a^(-12) - 3/a^10 + 3/a^6 + (3*z^2)/a^12 - 
   (5*z^2)/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (10*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + 
   (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 3694] -> 
  -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 7*z^2 + 10*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 14*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3695] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 3696] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) + z^2/a^14 - (6*z^2)/a^12 + 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^12 + (7*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 + (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 3697] -> -7 + 4/a^2 + 4*a^2 - 17*z^2 + 
   (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3698] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 3699] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 - z^2 - z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 - z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3700] -> 
  a^(-14) - a^(-12) - 5/a^10 + 6/a^8 - (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (15*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - z^4/a^10 + (13*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3701] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 10*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 10*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3702] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 3703] -> -2*a^2 + 7*a^4 - 4*a^6 + 2*z^2 - 
   5*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 3704] -> 2/a^12 - 7/a^10 + 5/a^8 + 
   a^(-6) - (7*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^4 + z^2/a^2 + (7*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3705] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3706] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 3707] -> -2*a^4 + 8*a^6 - 5*a^8 - 
   3*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 10*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 3708] -> 3/a^6 - 7/a^4 + 5/a^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3709] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 8*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 3710] -> -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 3711] -> 
  -12 + 2/a^6 - 13/a^4 + 22/a^2 + 2*a^2 - 30*z^2 + (3*z^2)/a^6 - 
   (26*z^2)/a^4 + (53*z^2)/a^2 + 5*a^2*z^2 - 28*z^4 + z^4/a^6 - 
   (20*z^4)/a^4 + (53*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (28*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3712] -> -a^(-12) + 7/a^10 - 19/a^8 + 19/a^6 - 
   5/a^4 - z^2/a^12 + (10*z^2)/a^10 - (39*z^2)/a^8 + (52*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^4)/a^10 - (30*z^4)/a^8 + (56*z^4)/a^6 - (16*z^4)/a^4 - 
   (10*z^6)/a^8 + (31*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 3713] -> 
  -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 21*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3714] -> 
  -a^(-12) + 7/a^10 - 16/a^8 + 13/a^6 - 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (30*z^2)/a^8 + (31*z^2)/a^6 - (6*z^2)/a^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (27*z^4)/a^6 - (6*z^4)/a^4 - (5*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 3715] -> 
  -3 - a^(-8) + 7/a^6 - 15/a^4 + 13/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (32*z^2)/a^4 + (24*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (27*z^4)/a^4 + (16*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 3716] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (14*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - (10*z^4)/a^8 + 
   (8*z^4)/a^6 - z^4/a^4 - (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3717] -> -14 + 3/a^2 + 22*a^2 - 11*a^4 + a^6 - 
   34*z^2 + (7*z^2)/a^2 + 52*a^2*z^2 - 22*a^4*z^2 + 2*a^6*z^2 - 31*z^4 + 
   (5*z^4)/a^2 + 51*a^2*z^4 - 18*a^4*z^4 + a^6*z^4 - 13*z^6 + z^6/a^2 + 
   27*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 3718] -> -4 - 2/a^8 + 10/a^6 - 19/a^4 + 16/a^2 - 
   8*z^2 - (3*z^2)/a^8 + (23*z^2)/a^6 - (47*z^2)/a^4 + (36*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (19*z^4)/a^6 - (49*z^4)/a^4 + (32*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (27*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3719] -> a^(-14) - 6/a^12 + 15/a^10 - 
   19/a^8 + 10/a^6 + z^2/a^14 - (10*z^2)/a^12 + (34*z^2)/a^10 - 
   (47*z^2)/a^8 + (25*z^2)/a^6 - (4*z^4)/a^12 + (29*z^4)/a^10 - 
   (51*z^4)/a^8 + (22*z^4)/a^6 + (10*z^6)/a^10 - (30*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 3720] -> -13 - 4/a^4 + 12/a^2 + 8*a^2 - 2*a^4 - 
   29*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3721] -> 
  2/a^10 - 10/a^8 + 15/a^6 - 9/a^4 + 3/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (32*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (22*z^4)/a^6 - 
   (24*z^4)/a^4 + (7*z^4)/a^2 + (5*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 3722] -> 
  a^(-10) - 6/a^8 + 13/a^6 - 13/a^4 + 6/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (30*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (26*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3723] -> 
  6 - 2/a^8 + 7/a^6 - 7/a^4 - a^(-2) - 2*a^2 + 11*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 3724] -> a^(-14) - 5/a^12 + 8/a^10 - 3/a^8 - 
   5/a^6 + 5/a^4 - (4*z^2)/a^12 + (14*z^2)/a^10 - (8*z^2)/a^8 - 
   (10*z^2)/a^6 + (10*z^2)/a^4 + (8*z^4)/a^10 - (10*z^4)/a^8 - (11*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 3725] -> -7 - 2/a^6 + 4/a^4 + a^(-2) + 
   7*a^2 - 2*a^4 - 10*z^2 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 3726] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 6/a^6 - 8/a^4 + 4/a^2 - (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^8 - 
   z^4/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 3727] -> 3 + a^(-10) - 5/a^8 + 8/a^6 - 3/a^4 - 
   3/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 3728] -> a^(-10) - 6/a^8 + 11/a^6 - 
   9/a^4 + 4/a^2 + z^2/a^10 - (10*z^2)/a^8 + (27*z^2)/a^6 - (25*z^2)/a^4 + 
   (9*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - (31*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3729] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 4*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (30*z^2)/a^4 + (21*z^2)/a^2 - 2*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (27*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 3730] -> 
  -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 25*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (27*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (21*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 3731] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (10*z^2)/a^10 - 
   (28*z^2)/a^8 + (28*z^2)/a^6 - (5*z^2)/a^4 + (6*z^4)/a^10 - (26*z^4)/a^8 + 
   (32*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (20*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 3732] -> -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (32*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 3733] -> 
  -3 - a^(-8) + 6/a^6 - 13/a^4 + 12/a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (27*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3734] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + 
   (5*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3735] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 3736] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 3737] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 29*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 3738] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (18*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 - (17*z^4)/a^8 + (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 3739] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 18*a^2*z^2 - 19*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3740] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   17*z^4 + (4*z^4)/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 3741] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (7*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 3742] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 
   13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 3743] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (5*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3744] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 3745] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 3746] -> a^(-10) - 4/a^8 + 7/a^6 - 
   7/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 3747] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3748] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (5*z^2)/a^12 + (13*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3749] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (11*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + 
   (9*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3750] -> -3*a^4 + 10*a^6 - 6*a^8 - 2*a^2*z^2 - 
   3*a^4*z^2 + 25*a^6*z^2 - 11*a^8*z^2 - 3*a^2*z^4 + a^4*z^4 + 24*a^6*z^4 - 
   8*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 3751] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + z^2/a^16 - (2*z^2)/a^14 - 
   (19*z^2)/a^12 + (26*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^14 - 
   (10*z^4)/a^12 + (30*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 3752] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + z^2 + z^2/a^8 - (10*z^2)/a^6 + 
   (21*z^2)/a^4 - (8*z^2)/a^2 + 2*z^4 - (4*z^4)/a^6 + (15*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3753] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 3754] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (36*z^2)/a^6 - (23*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (17*z^4)/a^8 + (41*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 3755] -> 
  -1 + 6*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 4*z^2 + 22*a^2*z^2 - 34*a^4*z^2 + 
   24*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 25*a^2*z^4 - 43*a^4*z^4 + 19*a^6*z^4 - 
   a^8*z^4 - z^6 + 12*a^2*z^6 - 26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 3756] -> 
  2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 5/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (28*z^2)/a^10 - (29*z^2)/a^8 + (18*z^2)/a^6 - (4*z^4)/a^12 + 
   (28*z^4)/a^10 - (40*z^4)/a^8 + (20*z^4)/a^6 + (10*z^6)/a^10 - 
   (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 3757] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3758] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 
   z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3759] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (9*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - 
   (8*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3760] -> -3*a^4 + 10*a^6 - 6*a^8 - 9*a^4*z^2 + 
   27*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 - 8*a^4*z^4 + 27*a^6*z^4 + 3*a^8*z^4 - 
   4*a^10*z^4 - 2*a^4*z^6 + 12*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 3761] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 + z^2/a^12 + (5*z^2)/a^10 - (17*z^2)/a^8 + (16*z^2)/a^6 + 
   (3*z^4)/a^12 - (18*z^4)/a^8 + (13*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3762] -> -3 + 7*a^2 - 4*a^4 + 3*a^6 - 2*a^8 - 
   7*z^2 + 16*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   16*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 + a^6*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 3763] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - 
   a^10 - 3*a^2*z^2 + 5*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - a^10*z^4 + 2*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 3764] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 3765] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 3766] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 3767] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3768] -> -1 + 2*a^2 + a^4 - a^8 + 2*z^2 - z^2/a^2 + 
   4*a^4*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3769] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 - (3*z^2)/a^12 + (7*z^2)/a^8 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3770] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3771] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 7*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3772] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3773] -> -a^(-8) + 2/a^4 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3774] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 3775] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - z^2 - a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 7*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 3776] -> 
  a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - (2*z^2)/a^14 - 
   (5*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + 
   (7*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 3777] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 
   2*a^2 + a^4 + 5*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 - z^4/a^4 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 3778] -> 2 + 2/a^6 - 3/a^4 + 4*z^2 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 3779] -> -1 + a^(-2) + a^2 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3780] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3781] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3782] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3783] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + z^2/a^4 + 
   7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 3784] -> 
  -11 + 5/a^2 + 9*a^2 - 2*a^4 - 22*z^2 + (6*z^2)/a^2 + 18*a^2*z^2 - 
   5*a^4*z^2 - 14*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3785] -> 
  -8 - a^(-6) + a^(-4) + 5/a^2 + 4*a^2 - 14*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 3786] -> 
  3 - 2/a^8 + 7/a^6 - 8/a^4 + 2/a^2 - a^2 + 6*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + z^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 3787] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3788] -> -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 3789] -> 
  -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 - 3*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (18*z^2)/a^2 - a^2*z^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3790] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 27*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3791] -> 2/a^14 - 8/a^12 + 11/a^10 - 9/a^8 + 
   5/a^6 + z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (21*z^2)/a^8 + 
   (14*z^2)/a^6 - (4*z^4)/a^12 + (20*z^4)/a^10 - (20*z^4)/a^8 + 
   (12*z^4)/a^6 + (5*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3792] -> -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 
   5*z^2 + 20*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3793] -> 2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 
   2*a^4 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 3794] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 
   2/a^6 + 2/a^4 - (4*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 3795] -> 
  3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 3796] -> 
  -8 - 5/a^4 + 12/a^2 + 2*a^2 - 22*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (32*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - (14*z^4)/a^4 + 
   (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3797] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (20*z^2)/a^8 + (14*z^2)/a^6 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (17*z^4)/a^6 - (4*z^4)/a^4 - (5*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3798] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3799] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   8*z^2 - z^2/a^8 + (10*z^2)/a^6 - (26*z^2)/a^4 + (27*z^2)/a^2 - 9*z^4 + 
   (6*z^4)/a^6 - (26*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3800] -> 2/a^10 - 10/a^8 + 14/a^6 - 7/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (17*z^2)/a^8 + (33*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (28*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3801] -> -11 - a^(-4) + 5/a^2 + 13*a^2 - 5*a^4 - 
   25*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 20*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3802] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (16*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (20*z^4)/a^8 + 
   (14*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + (13*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 3803] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 3804] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (4*z^2)/a^12 + (11*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 + 
   (7*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 3805] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 3806] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3807] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 3808] -> a^(-10) - 4/a^8 + 6/a^6 - 
   5/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3809] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - 
   (5*z^4)/a^8 + (24*z^4)/a^6 - (33*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + 
   (11*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3810] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (29*z^2)/a^4 + (22*z^2)/a^2 - 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (17*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 3811] -> 
  -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 24*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (28*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 3812] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 14*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (28*z^2)/a^2 + 2*a^2*z^2 - 18*z^4 + z^4/a^6 - (14*z^4)/a^4 + 
   (34*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3813] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (20*z^2)/a^8 + (26*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (24*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3814] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + 
   (3*z^2)/a^2 + 26*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3815] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 3816] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (20*z^2)/a^10 - (21*z^2)/a^8 + (15*z^2)/a^6 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 - (25*z^4)/a^8 + (14*z^4)/a^6 + (6*z^6)/a^10 - 
   (14*z^6)/a^8 + (4*z^6)/a^6 - (3*z^8)/a^8, 
 Knot[14, NonAlternating, 3817] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   5*z^2 + 20*a^2*z^2 - 23*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   20*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 3818] -> -4 - a^(-8) + 6/a^6 - 14/a^4 + 14/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (36*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (41*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3819] -> 2/a^10 - 9/a^8 + 11/a^6 - 
   4/a^4 + a^(-2) + z^2/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3820] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 3821] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (14*z^4)/a^2 - z^6 + z^6/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 3822] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 + 
   6*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3823] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 3824] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 - z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   2*z^4 - (5*z^4)/a^6 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3825] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 + 
   z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3826] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 24*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (30*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (34*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3827] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - (5*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3828] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3829] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - (34*z^2)/a^4 + (25*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (43*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3830] -> a^(-10) - 5/a^8 + 6/a^6 - 
   2/a^4 + a^(-2) + z^2/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 3831] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 3832] -> 
  -7 - a^(-4) + 3/a^2 + 11*a^2 - 5*a^4 - 23*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 - 29*z^4 - z^4/a^4 + (14*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 3833] -> 
  2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (11*z^2)/a^12 + 
   (16*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^12 + (17*z^4)/a^10 - 
   (11*z^4)/a^8 + (10*z^4)/a^6 + (5*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 3834] -> 
  -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 4*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3835] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (4*z^2)/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^4)/a^14 - (5*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (2*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 3836] -> 
  1 - a^(-2) + 4*a^4 - 3*a^6 + 2*z^2 - (2*z^2)/a^2 + 12*a^4*z^2 - 6*a^6*z^2 + 
   4*z^4 - z^4/a^2 - a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3837] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 3838] -> 
  4 - a^(-8) + 3/a^6 - 4/a^4 + a^(-2) - 2*a^2 + 8*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 3839] -> a^(-12) - 4/a^10 + 5/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + (6*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 3840] -> 
  -a^(-4) + 3/a^2 - 5*a^2 + 6*a^4 - 2*a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   12*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + z^6/a^2 - 2*a^2*z^6, Knot[14, NonAlternating, 3841] -> 
  a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 + z^2/a^16 - (6*z^2)/a^14 - z^2/a^12 + 
   (4*z^2)/a^10 + (12*z^2)/a^8 - (5*z^4)/a^14 + (3*z^4)/a^12 + 
   (14*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3842] -> 5 - 2/a^2 - 5*a^2 + 6*a^4 - 3*a^6 + 
   9*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 7*z^4 - 
   z^4/a^2 - 8*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3843] -> 
  a^(-12) - 4/a^10 + 6/a^8 - 6/a^6 + 4/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (12*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (7*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 3844] -> 
  -5 - a^(-4) + 5/a^2 - a^2 + 5*a^4 - 2*a^6 - 4*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   8*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 2*z^4 - 9*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 3845] -> 
  4 + a^(-10) - 4/a^8 + 6/a^6 - a^(-4) - 5/a^2 + 4*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 3846] -> 
  6 - 2/a^2 - 2*a^2 - 5*a^4 + 6*a^6 - 2*a^8 + 11*z^2 - (3*z^2)/a^2 - 
   7*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 8*z^4 - z^4/a^2 - 
   9*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 3847] -> -6 + a^(-8) - 4/a^6 + 4/a^4 + 3/a^2 + 
   3*a^2 - 7*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 + 2*a^2*z^2 - z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 3848] -> 
  a^(-14) - 5/a^12 + 7/a^10 - a^(-8) - 6/a^6 + 5/a^4 - (4*z^2)/a^12 + 
   (11*z^2)/a^10 - z^2/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + (5*z^4)/a^10 - 
   z^4/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 3849] -> -8 + a^(-2) + 17*a^2 - 11*a^4 + 
   2*a^6 - 17*z^2 + (2*z^2)/a^2 + 36*a^2*z^2 - 20*a^4*z^2 + 3*a^6*z^2 - 
   12*z^4 + z^4/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 3850] -> 
  -4 - a^(-8) + 6/a^6 - 14/a^4 + 14/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (28*z^2)/a^4 + (28*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3851] -> 2 + a^(-10) - 4/a^8 + 3/a^6 + 3/a^4 - 
   4/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 3852] -> 
  4 - a^(-2) - 3*a^2 - a^4 + 4*a^6 - 2*a^8 + 8*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3853] -> 
  a^(-14) - 3/a^12 + 2/a^10 + a^(-8) - 3/a^6 + 3/a^4 - (4*z^2)/a^12 + 
   (8*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (7*z^4)/a^10 - 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3854] -> -7 + a^(-2) + 15*a^2 - 10*a^4 + 2*a^6 - 
   17*z^2 + (3*z^2)/a^2 + 32*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 4*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 3855] -> 
  -2 - a^(-8) + 7/a^6 - 14/a^4 + 11/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (30*z^2)/a^4 + (22*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (25*z^4)/a^4 + (17*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (5*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 3856] -> 
  -10 + a^(-6) - 7/a^4 + 14/a^2 + 3*a^2 - 23*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (29*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 3857] -> 
  -3 + 2/a^6 - 10/a^4 + 13/a^2 - a^2 - 8*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (30*z^2)/a^2 - a^2*z^2 - 7*z^4 + z^4/a^6 - (13*z^4)/a^4 + (28*z^4)/a^2 - 
   2*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 3858] -> -3 + 2/a^6 - 10/a^4 + 13/a^2 - a^2 - 
   8*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (30*z^2)/a^2 - a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (28*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 3859] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 9*a^4*z^2 + 27*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 - 
   8*a^4*z^4 + 27*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 12*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 3860] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   z^2/a^12 + (5*z^2)/a^10 - (17*z^2)/a^8 + (16*z^2)/a^6 + (3*z^4)/a^12 - 
   (18*z^4)/a^8 + (13*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 + 
   (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 3861] -> 
  -3 + 7*a^2 - 4*a^4 + 3*a^6 - 2*a^8 - 7*z^2 + 16*a^2*z^2 - 5*a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 3862] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 
   3*a^2*z^2 + 5*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - a^10*z^4 + 2*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 3863] -> -a^(-8) + 2/a^4 + z^2/a^12 + 
   z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3864] -> 1 - a^(-2) + a^2 + a^4 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 3865] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 17*a^2*z^2 - 20*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   14*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 3866] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (20*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (19*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3867] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 20*z^4 - z^4/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3868] -> a^(-14) - 6/a^12 + 10/a^10 - 5/a^8 - 
   3/a^6 + 4/a^4 - (6*z^2)/a^12 + (20*z^2)/a^10 - (14*z^2)/a^8 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (17*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 3869] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 7/a^6 - 10/a^4 + 5/a^2 - (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 + (5*z^4)/a^8 + 
   (2*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^6 - (8*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 3870] -> 
  -9 - 2/a^4 + 8/a^2 + 2*a^2 + 4*a^4 - 2*a^6 - 17*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 3871] -> -a^(-12) + 8/a^10 - 20/a^8 + 18/a^6 - 
   4/a^4 - z^2/a^12 + (13*z^2)/a^10 - (43*z^2)/a^8 + (48*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^4)/a^10 - (36*z^4)/a^8 + (50*z^4)/a^6 - (13*z^4)/a^4 + 
   z^6/a^10 - (14*z^6)/a^8 + (27*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 3872] -> 
  2/a^10 - 10/a^8 + 15/a^6 - 9/a^4 + 3/a^2 + z^2/a^10 - (15*z^2)/a^8 + 
   (36*z^2)/a^6 - (26*z^2)/a^4 + (8*z^2)/a^2 - (7*z^4)/a^8 + (32*z^4)/a^6 - 
   (31*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3873] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3874] -> -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 
   15*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3875] -> 
  -4 + 14*a^2 - 14*a^4 + 6*a^6 - a^8 - 8*z^2 + 32*a^2*z^2 - 36*a^4*z^2 + 
   16*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 30*a^2*z^4 - 41*a^4*z^4 + 16*a^6*z^4 - 
   a^8*z^4 - z^6 + 13*a^2*z^6 - 25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 3876] -> 
  -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (20*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (10*z^4)/a^6 - z^4/a^4 - (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3877] -> -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3878] -> a^(-10) - 7/a^8 + 11/a^6 - 6/a^4 + 2/a^2 + 
   z^2/a^10 - (13*z^2)/a^8 + (32*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^8 + (31*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3879] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   z^2/a^8 + (7*z^2)/a^6 - z^4/a^12 + (6*z^4)/a^10 - z^4/a^8 + (7*z^4)/a^6 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 3880] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 + 
   z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 6*z^4 - z^4/a^2 + 
   4*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 3881] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (10*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (21*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 3882] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3883] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^2 - z^4/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3884] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 
   5*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3885] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 
   8*a^4*z^2 + 27*a^6*z^2 - 9*a^8*z^2 - 2*a^10*z^2 - 7*a^4*z^4 + 25*a^6*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 3886] -> -a^(-12) + 5/a^10 - 10/a^8 + 
   7/a^6 + (7*z^2)/a^10 - (19*z^2)/a^8 + (16*z^2)/a^6 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (17*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - 
   (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3887] -> -4 + 10*a^2 - 6*a^4 + 2*a^6 - a^8 - 
   8*z^2 + 20*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   17*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 + a^6*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 3888] -> -a^(-12) + 5/a^10 - 10/a^8 + 
   7/a^6 - z^2/a^12 + (7*z^2)/a^10 - (17*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 + 
   (3*z^4)/a^10 - (11*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^4 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 3889] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (10*z^2)/a^10 - 
   (20*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + (8*z^4)/a^10 - (19*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 3890] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 3891] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 
   2*a^8 - 4*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 3892] -> -3*a^4 + 11*a^6 - 8*a^8 + 
   a^10 - a^2*z^2 - 5*a^4*z^2 + 26*a^6*z^2 - 12*a^8*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 23*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 3893] -> 
  4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + z^2/a^16 + z^2/a^14 - (23*z^2)/a^12 + 
   (25*z^2)/a^10 + (6*z^2)/a^8 - (2*z^4)/a^14 - (12*z^4)/a^12 + 
   (29*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 3894] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - (4*z^2)/a^12 + (11*z^2)/a^10 - 
   (14*z^2)/a^8 + (13*z^2)/a^6 + (7*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 3895] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   (5*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 3896] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (13*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 3897] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 3*a^2*z^2 + 
   2*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 20*a^6*z^4 - 
   7*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 3898] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - (2*z^2)/a^14 - 
   (15*z^2)/a^12 + (18*z^2)/a^10 + (8*z^2)/a^8 - (2*z^4)/a^14 - 
   (9*z^4)/a^12 + (25*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 3899] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 + (6*z^2)/a^8 - (10*z^2)/a^6 + 
   (9*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3900] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   13*z^2 - z^2/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3901] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 3902] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 
   7*a^4*z^2 + 21*a^6*z^2 + a^8*z^2 - 5*a^10*z^2 - 7*a^4*z^4 + 23*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 3903] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (10*z^2)/a^8 + (14*z^2)/a^6 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3904] -> -2 + 3*a^2 + a^4 + a^6 - 2*a^8 - 7*z^2 + 
   12*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 15*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 + a^6*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 3905] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   3*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 3906] -> 
  3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 7*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 
   6*a^4*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 3907] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - (3*z^2)/a^12 + 
   (11*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (2*z^4)/a^10 + (8*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 3908] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 - z^2 + 
   11*a^2*z^2 - 22*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - z^4 + 10*a^2*z^4 - 
   24*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 3909] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 21*z^2 + (6*z^2)/a^2 + 24*a^2*z^2 - 
   7*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3910] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 10*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 3911] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (11*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 3912] -> 2*a^2 - a^4 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 3913] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (24*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (22*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3914] -> 
  -5 - a^(-4) + 2/a^2 + 10*a^2 - 5*a^4 - 15*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   23*a^2*z^2 - 8*a^4*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 3915] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^8 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 3916] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 3*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 3917] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 6/a^6 + 5/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (11*z^2)/a^6 + (9*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (9*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 3918] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (26*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 3919] -> 
  -4 + 12*a^2 - 9*a^4 + 2*a^6 - 10*z^2 + 28*a^2*z^2 - 18*a^4*z^2 + 
   3*a^6*z^2 - 8*z^4 + 27*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 3920] -> 
  -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 2*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (26*z^2)/a^4 + (15*z^2)/a^2 - z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (25*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 3921] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 19*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 3922] -> 
  -5 + 13*a^2 - 8*a^4 + a^6 - 10*z^2 + 28*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + 24*a^2*z^4 - 13*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 
   9*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3923] -> -a^(-16) + 7/a^14 - 14/a^12 + 7/a^10 + 
   2/a^8 + (8*z^2)/a^14 - (32*z^2)/a^12 + (26*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^4)/a^14 - (23*z^4)/a^12 + (33*z^4)/a^10 + (9*z^4)/a^8 - 
   (5*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 3924] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - a^2*z^2 - 
   a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   11*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 3925] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (8*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 3926] -> -3 + 6*a^2 - a^4 - a^8 - 
   2*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 9*a^2*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 3927] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3928] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + 
   8*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3929] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 
   5*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 3930] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 3*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - 
   a^4*z^4 + 10*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 3931] -> -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 3932] -> 2/a^10 - 9/a^8 + 11/a^6 - 
   4/a^4 + a^(-2) + z^2/a^10 - (13*z^2)/a^8 + (25*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 - (6*z^4)/a^8 + (20*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 3933] -> -3 - 4/a^4 + 8/a^2 - 5*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 3934] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (29*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (21*z^4)/a^6 - 
   (24*z^4)/a^4 + (7*z^4)/a^2 + (5*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 3935] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 29*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 21*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3936] -> 
  2/a^6 - 7/a^4 + 7/a^2 - a^2 + 2*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 3937] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 17*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   7*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 3938] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (5*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3939] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 
   6/a^6 - (4*z^2)/a^12 + (13*z^2)/a^10 - (19*z^2)/a^8 + (15*z^2)/a^6 + 
   (8*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 3940] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 3941] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 28*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 
   17*a^2*z^2 - 3*a^4*z^2 - 35*z^4 - z^4/a^4 + (18*z^4)/a^2 + 17*a^2*z^4 - 
   a^4*z^4 - 24*z^6 + (7*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 3942] -> a^(-14) - 5/a^12 + 10/a^10 - 
   12/a^8 + 7/a^6 - (6*z^2)/a^12 + (21*z^2)/a^10 - (28*z^2)/a^8 + 
   (18*z^2)/a^6 - z^4/a^12 + (15*z^4)/a^10 - (26*z^4)/a^8 + (14*z^4)/a^6 + 
   (3*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 3943] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3944] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 3945] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 3946] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 3947] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 3948] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 3949] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 3950] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 3951] -> -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 
   7*z^2 + 26*a^2*z^2 - 27*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 23*a^4*z^4 + 6*a^6*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 3952] -> 
  -1 + 4*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   10*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 3953] -> a^(-10) - 5/a^8 + 10/a^6 - 
   10/a^4 + 5/a^2 + z^2/a^10 - (9*z^2)/a^8 + (25*z^2)/a^6 - (27*z^2)/a^4 + 
   (10*z^2)/a^2 - (6*z^4)/a^8 + (25*z^4)/a^6 - (32*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 3954] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3955] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   4*z^2 + 17*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   12*a^2*z^4 - 16*a^4*z^4 + 5*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 3956] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 
   8/a^2 - 5*z^2 - z^2/a^8 + (14*z^2)/a^6 - (30*z^2)/a^4 + (22*z^2)/a^2 - 
   8*z^4 + (7*z^4)/a^6 - (30*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3957] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 
   4/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (30*z^2)/a^6 - (21*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (26*z^4)/a^6 - (16*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3958] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   8*z^2 - z^2/a^8 + (10*z^2)/a^6 - (26*z^2)/a^4 + (27*z^2)/a^2 - 9*z^4 + 
   (6*z^4)/a^6 - (26*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 3959] -> 2/a^10 - 10/a^8 + 14/a^6 - 7/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (17*z^2)/a^8 + (33*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (28*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 3960] -> -11 - a^(-4) + 5/a^2 + 13*a^2 - 5*a^4 - 
   25*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 20*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 3961] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) - z^2 + (5*z^2)/a^8 - 
   (7*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 3962] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 
   3/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 3963] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (26*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - (5*z^4)/a^8 + (24*z^4)/a^6 - 
   (33*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (21*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 3964] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   6*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 3965] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 3966] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (29*z^2)/a^4 + (22*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (17*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 3967] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (28*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 3968] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 3969] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 3970] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 - z^2/a^12 + (9*z^2)/a^10 - (16*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (6*z^4)/a^10 - (20*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 + 
   z^6/a^10 - (11*z^6)/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 3971] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 3972] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 3973] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 3974] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 3975] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (3*z^2)/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 3976] -> -a^2 + 2*a^4 + a^6 + a^8 - 
   2*a^10 - 4*a^2*z^2 + 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - a^10*z^2 - 
   4*a^2*z^4 + 9*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 3977] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (4*z^2)/a^12 + (9*z^2)/a^10 + (11*z^2)/a^8 - (2*z^4)/a^14 - (2*z^4)/a^12 + 
   (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 3978] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 3979] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - z^2 + 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 3980] -> a^(-16) - a^(-14) - 3/a^12 + 
   a^(-10) + 3/a^8 - (2*z^2)/a^14 - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (9*z^2)/a^8 + (3*z^2)/a^6 + (5*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 3981] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 3982] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   6*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 3983] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 3984] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 3985] -> 5 - a^(-8) + 2/a^6 - a^(-4) - 
   2/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 3986] -> 
  -2/a^12 + 5/a^10 - 3/a^8 - 3/a^6 + 4/a^4 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (9*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + (7*z^4)/a^10 - (11*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 3987] -> 
  a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 4/a^4 + 3/a^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + (6*z^4)/a^8 - 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 3988] -> -3 - a^(-4) + 4/a^2 - 2*a^2 + 5*a^4 - 
   2*a^6 - 6*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 - 4*z^4 - z^4/a^4 + (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - z^6 + 
   z^6/a^2 - 2*a^2*z^6, Knot[14, NonAlternating, 3989] -> 
  5 - 2/a^2 - 5*a^4 + 4*a^6 - a^8 + 9*z^2 - (3*z^2)/a^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 - 11*a^4*z^4 + 
   5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 3990] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 3991] -> 
  3 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^4 - 4/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 3992] -> 2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 
   3/a^2 + 3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 3993] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 3994] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 3995] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 3996] -> 3 - a^(-6) + 4/a^4 - 4/a^2 - 
   3*a^2 + 2*a^4 + 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 3997] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (22*z^2)/a^8 + (26*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^4)/a^10 - (24*z^4)/a^8 + (32*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - 
   (12*z^6)/a^8 + (20*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 3998] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^12 + (7*z^4)/a^10 - (6*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 3999] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 9*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4000] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (15*z^2)/a^4 + (28*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 4001] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (20*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 4002] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4003] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 4004] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 
   2*a^4 - 15*z^2 - z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + (4*z^4)/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 4005] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (7*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 4006] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 
   13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 4007] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 - z^2 + (5*z^2)/a^8 - 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^8 - (8*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 4008] -> 
  2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4009] -> -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - 
   a^4 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 4010] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4011] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 4012] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 4013] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 4014] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 4015] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (24*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - 
   (29*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4016] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 4017] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4018] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + z^4/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 4019] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4020] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4021] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4022] -> -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 
   38*z^2 - (4*z^2)/a^4 + (24*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 4023] -> 2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 
   4/a^2 + z^2/a^10 - (13*z^2)/a^8 + (36*z^2)/a^6 - (33*z^2)/a^4 + 
   (12*z^2)/a^2 - (4*z^4)/a^8 + (28*z^4)/a^6 - (40*z^4)/a^4 + (13*z^4)/a^2 + 
   (9*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4024] -> 
  -4 - 2/a^8 + 9/a^6 - 17/a^4 + 15/a^2 - 8*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (38*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (33*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (9*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 4025] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 9/a^6 + z^2/a^14 - (10*z^2)/a^12 + 
   (30*z^2)/a^10 - (38*z^2)/a^8 + (21*z^2)/a^6 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (35*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^10 - 
   (16*z^6)/a^8 + (4*z^6)/a^6 - (3*z^8)/a^8, 
 Knot[14, NonAlternating, 4026] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 
   8*z^2 + 32*a^2*z^2 - 38*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   26*a^2*z^4 - 33*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 4027] -> -13 + 2/a^6 - 10/a^4 + 18/a^2 + 4*a^2 - 
   31*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (39*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (33*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 4028] -> -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 
   38*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 24*a^2*z^2 - 4*a^4*z^2 - 39*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 17*a^2*z^4 - a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 4029] -> -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4030] -> 2/a^10 - 9/a^8 + 11/a^6 - 
   4/a^4 + a^(-2) + z^2/a^10 - (13*z^2)/a^8 + (25*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 - (6*z^4)/a^8 + (20*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4031] -> -3 - 4/a^4 + 8/a^2 - 5*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 4032] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (29*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (21*z^4)/a^6 - 
   (24*z^4)/a^4 + (7*z^4)/a^2 + (5*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4033] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 29*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 21*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4034] -> 
  2/a^6 - 7/a^4 + 7/a^2 - a^2 + 2*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 4035] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 17*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   7*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4036] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 4*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (30*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (33*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4037] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 
   4/a^2 + z^2/a^10 - (10*z^2)/a^8 + (28*z^2)/a^6 - (25*z^2)/a^4 + 
   (9*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - (25*z^4)/a^4 + (7*z^4)/a^2 + 
   (5*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 4038] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   28*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4039] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 6*z^2 - z^2/a^8 + (13*z^2)/a^6 - 
   (29*z^2)/a^4 + (23*z^2)/a^2 - 9*z^4 + (6*z^4)/a^6 - (28*z^4)/a^4 + 
   (29*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 4040] -> 
  a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (29*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (24*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 4041] -> 
  -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 27*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 4042] -> -a^(-12) + 5/a^10 - 10/a^8 + 
   7/a^6 - z^2/a^12 + (10*z^2)/a^10 - (20*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 + (8*z^4)/a^10 - (19*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 4043] -> a^(-10) - 4/a^8 + 7/a^6 - 
   7/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4044] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - a^2*z^2 - 
   5*a^4*z^2 + 26*a^6*z^2 - 12*a^8*z^2 - 2*a^2*z^4 - a^4*z^4 + 23*a^6*z^4 - 
   7*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 4045] -> 
  4/a^14 - 12/a^12 + 8/a^10 + a^(-8) + z^2/a^16 + z^2/a^14 - (23*z^2)/a^12 + 
   (25*z^2)/a^10 + (6*z^2)/a^8 - (2*z^4)/a^14 - (12*z^4)/a^12 + 
   (29*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 4046] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4047] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 + 16*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4048] -> -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 
   10*z^2 - z^2/a^8 + (8*z^2)/a^6 - (23*z^2)/a^4 + (30*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^6 - (23*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4049] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (15*z^2)/a^8 + (30*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4050] -> -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 
   28*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 24*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4051] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - (6*z^4)/a^8 + (20*z^4)/a^6 - (13*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4052] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 4053] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4054] -> -8 - a^(-6) + a^(-4) + 4/a^2 + 7*a^2 - 
   2*a^4 - 19*z^2 - z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + (4*z^4)/a^4 + 12*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 4055] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 
   2/a^6 + 2/a^4 - (5*z^2)/a^12 + (16*z^2)/a^10 - (15*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 - (4*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 4056] -> 
  1 - a^(-2) + 6*a^2 - 10*a^4 + 7*a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + z^6 + a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 4057] -> -a^2 - a^4 + 12*a^6 - 12*a^8 + 3*a^10 - 
   3*a^2*z^2 - 2*a^4*z^2 + 30*a^6*z^2 - 20*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 
   a^4*z^4 + 28*a^6*z^4 - 11*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 12*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 4058] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (16*z^4)/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4059] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 4060] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4061] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4062] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) - 
   z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - 2*z^4 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4063] -> 3 - 4*a^2 + 2*a^4 + 8*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 3*a^2*z^4 + 2*z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 4064] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   z^2/a^16 - z^2/a^14 - (17*z^2)/a^12 + (20*z^2)/a^10 + (7*z^2)/a^8 - 
   (4*z^4)/a^14 - (7*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 4065] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 4066] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4067] -> -2/a^6 + 3/a^4 + z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 4068] -> -1 - a^(-6) + 2/a^4 + a^2 - 9*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 + 5*a^2*z^2 - 13*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   5*a^2*z^4 - 7*z^6 - z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4069] -> -a^(-2) + 4*a^2 - a^4 - a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4070] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 - z^2/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 4071] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 4072] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4073] -> 
  1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 5*z^4 + z^4/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4074] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4075] -> 2/a^10 - 10/a^8 + 15/a^6 - 9/a^4 + 3/a^2 + 
   z^2/a^10 - (15*z^2)/a^8 + (36*z^2)/a^6 - (26*z^2)/a^4 + (8*z^2)/a^2 - 
   (7*z^4)/a^8 + (32*z^4)/a^6 - (31*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4076] -> 
  -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (20*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (21*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4077] -> 
  -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 15*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (23*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4078] -> -2 + 11*a^2 - 15*a^4 + 9*a^6 - 2*a^8 - 
   3*z^2 + 20*a^2*z^2 - 33*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   13*a^2*z^4 - 29*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 4079] -> 
  -11 + 2/a^6 - 8/a^4 + 14/a^2 + 4*a^2 - 26*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (27*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 4080] -> 
  4 - a^(-2) - 7*a^4 + 7*a^6 - 2*a^8 + 5*z^2 - z^2/a^2 - a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 4081] -> 
  -8 + a^(-8) - 3/a^6 + 2/a^4 + 5/a^2 + 4*a^2 - 13*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 4082] -> 2/a^10 - 9/a^8 + 12/a^6 - 
   6/a^4 + 2/a^2 + (3*z^2)/a^10 - (19*z^2)/a^8 + (36*z^2)/a^6 - 
   (23*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (17*z^4)/a^8 + (41*z^4)/a^6 - 
   (28*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4083] -> -1 + 6*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 
   4*z^2 + 22*a^2*z^2 - 34*a^4*z^2 + 24*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   25*a^2*z^4 - 43*a^4*z^4 + 19*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 4084] -> 2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 5/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (28*z^2)/a^10 - (29*z^2)/a^8 + (18*z^2)/a^6 - 
   (4*z^4)/a^12 + (28*z^4)/a^10 - (40*z^4)/a^8 + (20*z^4)/a^6 + 
   (10*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 4085] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4086] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 
   z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 4087] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (9*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - 
   (8*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4088] -> 2/a^10 - 12/a^8 + 20/a^6 - 13/a^4 + 
   4/a^2 + z^2/a^10 - (18*z^2)/a^8 + (48*z^2)/a^6 - (38*z^2)/a^4 + 
   (12*z^2)/a^2 - (8*z^4)/a^8 + (41*z^4)/a^6 - (44*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^8 + (15*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4089] -> 
  a^(-12) - 5/a^10 + 4/a^8 + 5/a^6 - 8/a^4 + 4/a^2 - (6*z^2)/a^10 + 
   (14*z^2)/a^8 + (3*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^10 + 
   (11*z^4)/a^8 - (5*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 4090] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4091] -> -2/a^12 + 5/a^10 - 3/a^8 - 3/a^6 + 4/a^4 - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (9*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + 
   (7*z^4)/a^10 - (11*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4092] -> 2/a^12 - 8/a^10 + 7/a^8 - (11*z^2)/a^10 + 
   (18*z^2)/a^8 + z^2/a^6 - z^4/a^12 - (2*z^4)/a^10 + (15*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 4093] -> 2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 
   3/a^2 + 3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 4094] -> 
  3 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^4 - 4/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4095] -> 7 - 3/a^2 - 3*a^2 + 14*z^2 - (5*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 12*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 5*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 4096] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) - z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - 2*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 
   (3*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 4097] -> 
  3 - 4*a^2 + 2*a^4 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 2*z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 4098] -> 2/a^8 - 6/a^6 + 5/a^4 + (4*z^2)/a^8 - 
   (12*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4099] -> 3 - a^(-6) + 4/a^4 - 4/a^2 - 3*a^2 + 
   2*a^4 + 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4100] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 4101] -> -3*a^2 + 9*a^4 - 5*a^6 - 
   6*a^2*z^2 + 18*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 12*a^4*z^4 - 
   a^8*z^4 + 3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 4102] -> 
  5 - 2/a^2 - 5*a^4 + 4*a^6 - a^8 + 9*z^2 - (3*z^2)/a^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 - 11*a^4*z^4 + 
   5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4103] -> -2 - 2/a^8 + 9/a^6 - 15/a^4 + 11/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (20*z^2)/a^6 - (40*z^2)/a^4 + (27*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (45*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4104] -> -4 - 5/a^4 + 10/a^2 - 7*z^2 - 
   z^2/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 - 3*z^4 - z^4/a^6 + (12*z^4)/a^2 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 4105] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (11*z^2)/a^8 + 
   (20*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - (5*z^4)/a^8 + (16*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4106] -> a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + (4*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 4107] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 18*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 4108] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4109] -> -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4110] -> a^(-10) - 8/a^8 + 15/a^6 - 11/a^4 + 
   4/a^2 + z^2/a^10 - (13*z^2)/a^8 + (35*z^2)/a^6 - (28*z^2)/a^4 + 
   (9*z^2)/a^2 - (7*z^4)/a^8 + (31*z^4)/a^6 - (32*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4111] -> 
  -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (27*z^2)/a^4 + (13*z^2)/a^2 - z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (26*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4112] -> 
  -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (19*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4113] -> -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 
   29*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 30*a^2*z^2 - 9*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 4114] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (11*z^2)/a^12 + (20*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^12 + (18*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 4115] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 
   5*z^2 + 18*a^2*z^2 - 19*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4116] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 20*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4117] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 - (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 4118] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   4*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 4119] -> a^(-14) - 4/a^12 + 5/a^10 - a^(-8) - 
   4/a^6 + 4/a^4 - (4*z^2)/a^12 + (9*z^2)/a^10 - (11*z^2)/a^6 + (9*z^2)/a^4 + 
   (5*z^4)/a^10 - (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 4120] -> 
  -15 - 3/a^4 + 11/a^2 + 10*a^2 - a^4 - a^6 - 34*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 19*a^2*z^2 - a^6*z^2 - 30*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   12*a^2*z^4 + a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 4121] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   21*z^2 - z^2/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 4122] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 
   3*a^2 - 14*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4123] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (21*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 4124] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 
   5/a^4 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 4125] -> 
  2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   10*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 4126] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 5/a^8 - a^(-6) + 3/a^4 - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (10*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (9*z^4)/a^10 - 
   (10*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4127] -> -1 + 7*a^2 - 12*a^4 + 11*a^6 - 4*a^8 - 
   2*z^2 + 16*a^2*z^2 - 29*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   12*a^2*z^4 - 28*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 4128] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 4129] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 17*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 4130] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (30*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4131] -> -10 - 2/a^4 + 6/a^2 + 12*a^2 - 5*a^4 - 
   22*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4132] -> 
  1 + a^(-8) - 6/a^6 + 9/a^4 - 4/a^2 + 2*z^2 + z^2/a^8 - (9*z^2)/a^6 + 
   (19*z^2)/a^4 - (10*z^2)/a^2 + 2*z^4 - (4*z^4)/a^6 + (14*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 4133] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4134] -> 3/a^10 - 12/a^8 + 14/a^6 - 5/a^4 + 
   a^(-2) + (3*z^2)/a^10 - (21*z^2)/a^8 + (34*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (30*z^4)/a^6 - (11*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4135] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4136] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   3*z^2 + 12*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4137] -> 2 + 2/a^6 - 3/a^4 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4138] -> -3 - a^(-6) + a^(-4) + 3/a^2 + 
   a^4 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4139] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (11*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + (5*z^4)/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^6)/a^8, Knot[14, NonAlternating, 4140] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - a^2*z^2 - 4*a^4*z^2 + 23*a^6*z^2 - 
   9*a^8*z^2 - a^10*z^2 - a^2*z^4 + 16*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 4141] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + (7*z^2)/a^10 - (17*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (12*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 4142] -> -4 + 10*a^2 - 6*a^4 + 2*a^6 - a^8 - 
   5*z^2 - z^2/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 + 3*a^2*z^6, 
 Knot[14, NonAlternating, 4143] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 + z^4 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4144] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 + 
   2*z^2 - z^2/a^2 + 8*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 4145] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (15*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (10*z^4)/a^10 - 
   (13*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4146] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 
   4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 4147] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (11*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 4148] -> 
  -10 - 2/a^4 + 7/a^2 + 8*a^2 - a^4 - a^6 - 21*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 14*a^2*z^2 - a^6*z^2 - 17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   8*a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4149] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4150] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4151] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 
   7*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 4152] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (22*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (6*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4153] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 19*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 
   6*a^4*z^2 - 13*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4154] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4155] -> -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 4156] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4157] -> a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 4158] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 - z^4/a^6 - z^4/a^4 + (6*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 4159] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4160] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 4161] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 4162] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 19*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4163] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 4*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (30*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (33*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4164] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 
   4/a^2 + z^2/a^10 - (10*z^2)/a^8 + (28*z^2)/a^6 - (25*z^2)/a^4 + 
   (9*z^2)/a^2 - (4*z^4)/a^8 + (20*z^4)/a^6 - (25*z^4)/a^4 + (7*z^4)/a^2 + 
   (5*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 4165] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   28*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4166] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 4167] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (17*z^2)/a^8 + (13*z^2)/a^6 + (4*z^4)/a^10 - (16*z^4)/a^8 + (17*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4168] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 
   5*z^2 + 17*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4169] -> 
  -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   25*a^2*z^2 - 8*a^4*z^2 - 27*z^4 - z^4/a^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 
   5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 4170] -> 
  2/a^14 - 8/a^12 + 11/a^10 - 9/a^8 + 5/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (25*z^2)/a^10 - (21*z^2)/a^8 + (14*z^2)/a^6 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 - (20*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 4171] -> -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 
   5*z^2 + 20*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   18*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4172] -> 2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 
   2*a^4 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 4173] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 
   2/a^6 + 2/a^4 - (4*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 4174] -> 
  3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 4175] -> 
  -8 - a^(-6) + a^(-4) + 4/a^2 + 7*a^2 - 2*a^4 - 19*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + 
   (4*z^4)/a^4 + 12*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, NonAlternating, 4176] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 4177] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 
   6/a^6 - (4*z^2)/a^12 + (13*z^2)/a^10 - (19*z^2)/a^8 + (15*z^2)/a^6 + 
   (8*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 4178] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (16*z^2)/a^10 - (15*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - 
   (11*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - (4*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 4179] -> 1 - a^(-2) + 6*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 + 3*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + z^6 + 
   a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 4180] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 17*a^2*z^2 - 19*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 2*z^4 + 12*a^2*z^4 - 16*a^4*z^4 + 5*a^6*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4181] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4182] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (6*z^4)/a^8 + (20*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + 
   (11*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4183] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + 
   (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 4184] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4185] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 10*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (23*z^2)/a^4 + (30*z^2)/a^2 - 10*z^4 + (5*z^4)/a^6 - (23*z^4)/a^4 + 
   (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 4186] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (30*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (25*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 4187] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 28*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 24*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 4188] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 7*z^2 - z^2/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + (25*z^2)/a^2 - 
   9*z^4 + (6*z^4)/a^6 - (27*z^4)/a^4 + (30*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4189] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (24*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (19*z^4)/a^4 + 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4190] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 23*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4191] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (30*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 - (6*z^4)/a^8 + (28*z^4)/a^6 - 
   (29*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4192] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 4193] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4194] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - (6*z^2)/a^12 + (17*z^2)/a^10 - 
   (19*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - 
   (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4195] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   7*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^4 + 5*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4196] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 - z^6/a^2, Knot[14, NonAlternating, 4197] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 25*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 4198] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 4199] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (20*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 4200] -> 
  -a^(-8) + 2/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (6*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4201] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 
   3*a^2*z^2 + 4*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 16*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 4202] -> 
  a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 + z^2/a^16 - (3*z^2)/a^14 - 
   (10*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 - (2*z^4)/a^14 - 
   (7*z^4)/a^12 + (21*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 4203] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 21*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4204] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 14*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (17*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4205] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 
   7/a^2 - 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (17*z^2)/a^2 - 
   a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4206] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 4207] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 
   7*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 4208] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 19*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 
   6*a^4*z^2 - 13*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4209] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 4210] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4211] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4212] -> 2/a^10 - 9/a^8 + 10/a^6 - 
   2/a^4 + z^2/a^10 - (12*z^2)/a^8 + (22*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   (5*z^4)/a^8 + (17*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 4213] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 6*z^2 - (7*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 - 
   z^4/a^6 - z^4/a^4 + (11*z^4)/a^2 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 4214] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4215] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 4216] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 2*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 4217] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 13*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4218] -> 
  -8 + a^(-6) - 7/a^4 + 13/a^2 + 2*a^2 - 21*z^2 + (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (30*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4219] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   z^2/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 
   (5*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 4220] -> 
  -4 - 5/a^4 + 10/a^2 - 7*z^2 - z^2/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 - 
   3*z^4 - z^4/a^6 + (12*z^4)/a^2 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 4221] -> -a^(-12) + 6/a^10 - 14/a^8 + 12/a^6 - 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (27*z^2)/a^8 + (30*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (27*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4222] -> -7 + a^(-2) + 15*a^2 - 10*a^4 + 2*a^6 - 
   17*z^2 + (3*z^2)/a^2 + 32*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4223] -> 
  -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 4224] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 15*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 
   5*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4225] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   23*a^2*z^2 - 8*a^4*z^2 - 25*z^4 - z^4/a^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 
   5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 4226] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (21*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (15*z^4)/a^8 + (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 4227] -> 
  -1 + 4*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 4*z^2 + 15*a^2*z^2 - 18*a^4*z^2 + 
   17*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4228] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 
   6*z^2 - z^2/a^8 + (13*z^2)/a^6 - (29*z^2)/a^4 + (23*z^2)/a^2 - 9*z^4 + 
   (6*z^4)/a^6 - (28*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4229] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 
   4/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + (29*z^2)/a^6 - (22*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (18*z^4)/a^4 + 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4230] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4231] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 4232] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4233] -> 
  -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 25*z^2 + (3*z^2)/a^6 - 
   (21*z^2)/a^4 + (41*z^2)/a^2 + 5*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (40*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4234] -> -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 
   3/a^4 - z^2/a^12 + (10*z^2)/a^10 - (34*z^2)/a^8 + (40*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^4)/a^10 - (26*z^4)/a^8 + (43*z^4)/a^6 - (12*z^4)/a^4 - 
   (9*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4235] -> 
  -11 + 2/a^6 - 12/a^4 + 20/a^2 + 2*a^2 - 26*z^2 + (3*z^2)/a^6 - 
   (22*z^2)/a^4 + (44*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (37*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 4236] -> -a^(-12) + 7/a^10 - 18/a^8 + 17/a^6 - 
   4/a^4 - z^2/a^12 + (10*z^2)/a^10 - (35*z^2)/a^8 + (43*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^4)/a^10 - (24*z^4)/a^8 + (40*z^4)/a^6 - (10*z^4)/a^4 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (3*z^6)/a^4 + (3*z^8)/a^6, 
 Knot[14, NonAlternating, 4237] -> -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 
   26*z^2 + (5*z^2)/a^2 + 44*a^2*z^2 - 22*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + 
   (4*z^4)/a^2 + 37*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 4238] -> -5 - a^(-8) + 7/a^6 - 17/a^4 + 17/a^2 - 
   10*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (37*z^2)/a^4 + (36*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (11*z^4)/a^6 - (31*z^4)/a^4 + (29*z^4)/a^2 - z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4239] -> -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 
   25*z^2 + (5*z^2)/a^2 + 41*a^2*z^2 - 21*a^4*z^2 + 3*a^6*z^2 - 24*z^4 + 
   (4*z^4)/a^2 + 40*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 4240] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 4241] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 4242] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4243] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 - 2*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4244] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (5*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4245] -> -2/a^8 + 7/a^6 - 9/a^4 + 
   5/a^2 + (9*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^8 + z^4/a^6 - 
   (12*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 4246] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 4247] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - z^4 + z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - z^8, Knot[14, NonAlternating, 4248] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   2*z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 4249] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 15*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 4250] -> 
  5 - a^(-8) + 2/a^6 - a^(-4) - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 4251] -> a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 
   4/a^4 + 3/a^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 + (6*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 4252] -> 
  -3 - a^(-4) + 4/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 6*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 4253] -> -8 + a^(-6) - 7/a^4 + 13/a^2 + 2*a^2 - 
   21*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (30*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4254] -> -a^(-12) + 6/a^10 - 14/a^8 + 12/a^6 - 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (27*z^2)/a^8 + (30*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (27*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4255] -> -7 + a^(-2) + 15*a^2 - 10*a^4 + 2*a^6 - 
   17*z^2 + (3*z^2)/a^2 + 32*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4256] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + (6*z^2)/a^10 - (19*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4257] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (12*z^4)/a^2 + (2*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, NonAlternating, 4258] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 4259] -> -13 + 5/a^2 + 13*a^2 - 4*a^4 - 
   33*z^2 + (12*z^2)/a^2 + 24*a^2*z^2 - 4*a^4*z^2 - 31*z^4 + (9*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 13*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 4260] -> -7 + 2/a^6 - 10/a^4 + 15/a^2 + a^2 - 
   16*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (33*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 4261] -> 
  -5 - a^(-8) + 4/a^6 - 11/a^4 + 14/a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (22*z^2)/a^4 + (30*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4262] -> -a^(-16) + 8/a^14 - 17/a^12 + 10/a^10 + 
   a^(-8) + (9*z^2)/a^14 - (37*z^2)/a^12 + (32*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^4)/a^14 - (25*z^4)/a^12 + (37*z^4)/a^10 + (8*z^4)/a^8 - 
   (5*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 4263] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (3*z^2)/a^12 + (18*z^2)/a^10 - (31*z^2)/a^8 + (20*z^2)/a^6 - z^4/a^12 + 
   (17*z^4)/a^10 - (36*z^4)/a^8 + (18*z^4)/a^6 + (7*z^6)/a^10 - 
   (24*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 4264] -> -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 
   12*a^4*z^2 + 39*a^6*z^2 - 20*a^8*z^2 + a^10*z^2 - 13*a^4*z^4 + 
   44*a^6*z^4 - 15*a^8*z^4 - 6*a^4*z^6 + 26*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 4265] -> 
  5/a^14 - 15/a^12 + 11/a^10 + (2*z^2)/a^16 + z^2/a^14 - (33*z^2)/a^12 + 
   (40*z^2)/a^10 + z^4/a^16 - (5*z^4)/a^14 - (23*z^4)/a^12 + (55*z^4)/a^10 - 
   (2*z^6)/a^14 - (5*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 4266] -> -6 + a^(-6) - 9/a^4 + 15/a^2 - 15*z^2 + 
   z^2/a^6 - (18*z^2)/a^4 + (38*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + 
   (43*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 4267] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (26*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^8 + (22*z^4)/a^6 - 
   (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4268] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 4269] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 4270] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4271] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 4272] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 4273] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 18*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (21*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4274] -> -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 
   4/a^4 - z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 - (4*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 4275] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 - z^8, Knot[14, NonAlternating, 4276] -> 
  a^(-10) - 8/a^8 + 15/a^6 - 11/a^4 + 4/a^2 + (2*z^2)/a^10 - (17*z^2)/a^8 + 
   (39*z^2)/a^6 - (28*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (42*z^4)/a^6 - (29*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4277] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4278] -> 
  -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4279] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 13*z^2 + z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 4280] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (17*z^4)/a^6 - (4*z^4)/a^4 - (5*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 4281] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 17*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   5*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 4282] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2 - z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4283] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4284] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 4285] -> 
  -17 - 3/a^4 + 11/a^2 + 15*a^2 - 5*a^4 - 44*z^2 - (4*z^2)/a^4 + 
   (24*z^2)/a^2 + 36*a^2*z^2 - 9*a^4*z^2 - 47*z^4 - z^4/a^4 + (20*z^4)/a^2 + 
   33*a^2*z^4 - 5*a^4*z^4 - 27*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 4286] -> 
  2/a^14 - 9/a^12 + 16/a^10 - 16/a^8 + 8/a^6 + z^2/a^14 - (14*z^2)/a^12 + 
   (38*z^2)/a^10 - (42*z^2)/a^8 + (22*z^2)/a^6 - (5*z^4)/a^12 + 
   (33*z^4)/a^10 - (47*z^4)/a^8 + (21*z^4)/a^6 + (11*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 4287] -> -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 
   26*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4288] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 11/a^8 + 6/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (26*z^2)/a^10 - (24*z^2)/a^8 + (15*z^2)/a^6 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 - (21*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 4289] -> -3 + 11*a^2 - 13*a^4 + 9*a^6 - 3*a^8 - 
   7*z^2 + 25*a^2*z^2 - 27*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4290] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (31*z^2)/a^6 - (21*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4291] -> -3 + 13*a^2 - 18*a^4 + 13*a^6 - 4*a^8 - 
   7*z^2 + 32*a^2*z^2 - 45*a^4*z^2 + 28*a^6*z^2 - 5*a^8*z^2 - 5*z^4 + 
   30*a^2*z^4 - 47*a^4*z^4 + 22*a^6*z^4 - 2*a^8*z^4 - z^6 + 13*a^2*z^6 - 
   26*a^4*z^6 + 8*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 4292] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 
   5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   5*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 4293] -> a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - 
   2/a^6 + 3/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 + (7*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4294] -> -4 - a^(-6) + a^(-4) + 2/a^2 + 5*a^2 - 
   2*a^4 - 6*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   3*z^4 + (2*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 4295] -> a^(-14) - 4/a^12 + 5/a^10 - 
   3/a^8 + 2/a^4 - (4*z^2)/a^12 + (9*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + (5*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 4296] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 
   5*a^6 - 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 4297] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 4298] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 7*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 - 
   8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 4299] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (5*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4300] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 4301] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4302] -> a^(-14) - 6/a^12 + 11/a^10 - 9/a^8 + 
   2/a^6 + 2/a^4 - (7*z^2)/a^12 + (23*z^2)/a^10 - (21*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - (21*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 4303] -> 
  8 - a^(-6) + 3/a^4 - 6/a^2 - 3*a^2 + 16*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (13*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 4304] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 
   2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^10 + z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 4305] -> -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - 
   a^4 - 13*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4306] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + (2*z^6)/a^6 - z^6/a^2, Knot[14, NonAlternating, 4307] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 4308] -> 
  2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 + 3*z^2 + z^2/a^8 - (8*z^2)/a^6 + 
   (17*z^2)/a^4 - (12*z^2)/a^2 + 2*z^4 - (4*z^4)/a^6 + (13*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 4309] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 20*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4310] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 - (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 4311] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   4*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 4312] -> -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 
   29*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 30*a^2*z^2 - 9*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 4313] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (11*z^2)/a^12 + (20*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^12 + (18*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 4314] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 
   5*z^2 + 18*a^2*z^2 - 19*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4315] -> -2 - 2/a^8 + 9/a^6 - 15/a^4 + 11/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (20*z^2)/a^6 - (40*z^2)/a^4 + (27*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (45*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4316] -> a^(-10) - 6/a^8 + 10/a^6 - 
   7/a^4 + 3/a^2 + z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (15*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4317] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   18*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 4318] -> 
  a^(-10) - 8/a^8 + 15/a^6 - 11/a^4 + 4/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (35*z^2)/a^6 - (28*z^2)/a^4 + (9*z^2)/a^2 - (7*z^4)/a^8 + (31*z^4)/a^6 - 
   (32*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4319] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - z^2 - 
   (2*z^2)/a^8 + (16*z^2)/a^6 - (27*z^2)/a^4 + (13*z^2)/a^2 - z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 4320] -> 
  -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (19*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4321] -> a^(-12) - 3/a^10 + a^(-8) + 4/a^6 - 
   5/a^4 + 3/a^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 + (3*z^4)/a^8 + (4*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 4322] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 25*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 4323] -> a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 
   6/a^2 + z^2/a^10 - (8*z^2)/a^8 + (24*z^2)/a^6 - (29*z^2)/a^4 + 
   (11*z^2)/a^2 - (5*z^4)/a^8 + (19*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 4324] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 4325] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (20*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 4326] -> 
  -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 30*z^2 - (4*z^2)/a^4 + 
   (21*z^2)/a^2 + 16*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   11*a^2*z^4 - 13*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 4327] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4328] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 4329] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (24*z^2)/a^6 - (23*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (33*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4330] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4331] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - 
   a^(-6) + 2/a^4 - (5*z^2)/a^12 + (9*z^2)/a^10 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^12 + (8*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4332] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 4333] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 4334] -> 
  -4 - 2/a^8 + 10/a^6 - 19/a^4 + 16/a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (23*z^2)/a^6 - (47*z^2)/a^4 + (36*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (19*z^4)/a^6 - (49*z^4)/a^4 + (32*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (27*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4335] -> -13 - 4/a^4 + 12/a^2 + 8*a^2 - 
   2*a^4 - 29*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 
   23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 4336] -> a^(-14) - 6/a^12 + 15/a^10 - 19/a^8 + 
   10/a^6 + z^2/a^14 - (10*z^2)/a^12 + (34*z^2)/a^10 - (47*z^2)/a^8 + 
   (25*z^2)/a^6 - (4*z^4)/a^12 + (29*z^4)/a^10 - (51*z^4)/a^8 + 
   (22*z^4)/a^6 + (10*z^6)/a^10 - (30*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 4337] -> 
  2/a^10 - 10/a^8 + 15/a^6 - 9/a^4 + 3/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (32*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (22*z^4)/a^6 - 
   (24*z^4)/a^4 + (7*z^4)/a^2 + (5*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4338] -> 
  -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 29*z^2 - (5*z^2)/a^4 + 
   (20*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 23*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4339] -> 
  -4 + 16*a^2 - 19*a^4 + 10*a^6 - 2*a^8 - 8*z^2 + 36*a^2*z^2 - 47*a^4*z^2 + 
   23*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 32*a^2*z^4 - 49*a^4*z^4 + 19*a^6*z^4 - 
   a^8*z^4 - z^6 + 13*a^2*z^6 - 27*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 4340] -> 
  a^(-10) - 6/a^8 + 13/a^6 - 13/a^4 + 6/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (30*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (26*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 4341] -> 
  a^(-14) - 6/a^12 + 11/a^10 - 9/a^8 + 2/a^6 + 2/a^4 - (7*z^2)/a^12 + 
   (23*z^2)/a^10 - (21*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (16*z^4)/a^10 - (21*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4342] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 
   2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^10 + z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 4343] -> 8 - a^(-6) + 3/a^4 - 6/a^2 - 3*a^2 + 
   16*z^2 - z^2/a^6 + (6*z^2)/a^4 - (13*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 4344] -> -7 - a^(-6) + a^(-4) + 4/a^2 + 
   5*a^2 - a^4 - 13*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 4345] -> 
  2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4346] -> 2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 + 
   3*z^2 + z^2/a^8 - (8*z^2)/a^6 + (17*z^2)/a^4 - (12*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4347] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 4348] -> 
  6 - 2/a^8 + 7/a^6 - 7/a^4 - a^(-2) - 2*a^2 + 11*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 4349] -> -7 - 2/a^6 + 4/a^4 + a^(-2) + 7*a^2 - 
   2*a^4 - 10*z^2 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 4350] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 3/a^8 - 5/a^6 + 5/a^4 - (4*z^2)/a^12 + 
   (14*z^2)/a^10 - (8*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 + (8*z^4)/a^10 - 
   (10*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4351] -> a^(-12) - 4/a^10 + 2/a^8 + 6/a^6 - 8/a^4 + 
   4/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 + (5*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 4352] -> 
  -7 - 2/a^4 + 7/a^2 + a^2 + 4*a^4 - 2*a^6 - 10*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 4353] -> 6 - 2/a^2 - a^2 - 7*a^4 + 7*a^6 - 2*a^8 + 
   11*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 
   8*z^4 - z^4/a^2 - 6*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 4354] -> 
  3 + a^(-10) - 5/a^8 + 8/a^6 - 3/a^4 - 3/a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4355] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   z^2/a^16 - z^2/a^14 - (17*z^2)/a^12 + (20*z^2)/a^10 + (7*z^2)/a^8 - 
   (4*z^4)/a^14 - (7*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 4356] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 4357] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 + 5*a^2*z^2 - 
   13*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 7*z^6 - z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 4358] -> -a^(-2) + 4*a^2 - a^4 - a^6 + 
   2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4359] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 - z^2/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 4360] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 4361] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4362] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 18*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (6*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 4363] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 4364] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 7*z^2 - z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (19*z^2)/a^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 4365] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 4366] -> 
  -1 + 8*a^2 - 14*a^4 + 12*a^6 - 4*a^8 - 2*z^2 + 17*a^2*z^2 - 32*a^4*z^2 + 
   23*a^6*z^2 - 4*a^8*z^2 - z^4 + 12*a^2*z^4 - 29*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 4367] -> a^(-10) - 6/a^8 + 13/a^6 - 13/a^4 + 
   6/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (26*z^2)/a^6 - (29*z^2)/a^4 + 
   (11*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - (25*z^4)/a^4 + 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 4368] -> 
  -15 - 3/a^4 + 11/a^2 + 10*a^2 - a^4 - a^6 - 34*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 19*a^2*z^2 - a^6*z^2 - 30*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   12*a^2*z^4 + a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 4369] -> -1 + 7*a^2 - 12*a^4 + 11*a^6 - 4*a^8 - 
   2*z^2 + 16*a^2*z^2 - 29*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   12*a^2*z^4 - 28*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 4370] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (30*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 4371] -> 
  -10 - 2/a^4 + 6/a^2 + 12*a^2 - 5*a^4 - 22*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 4372] -> 3/a^10 - 12/a^8 + 14/a^6 - 
   5/a^4 + a^(-2) + (3*z^2)/a^10 - (21*z^2)/a^8 + (34*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (30*z^4)/a^6 - 
   (11*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 4373] -> 
  -5 - a^(-4) + 5/a^2 - a^2 + 5*a^4 - 2*a^6 - 4*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   8*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 2*z^4 - 9*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 4374] -> 
  6 - 2/a^2 - 2*a^2 - 5*a^4 + 6*a^6 - 2*a^8 + 11*z^2 - (3*z^2)/a^2 - 
   7*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 8*z^4 - z^4/a^2 - 
   9*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4375] -> 4 + a^(-10) - 4/a^8 + 6/a^6 - a^(-4) - 
   5/a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   (12*z^2)/a^2 + z^4 - (2*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 4376] -> 
  -6 + a^(-8) - 4/a^6 + 4/a^4 + 3/a^2 + 3*a^2 - 7*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 + 2*a^2*z^2 - z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 4377] -> 6 - 2/a^8 + 6/a^6 - 5/a^4 - 2/a^2 - 
   2*a^2 + 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4378] -> 
  -5 - 2/a^6 + 5/a^4 - a^(-2) + 5*a^2 - a^4 - 4*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 4379] -> 
  a^(-14) - 5/a^12 + 7/a^10 - a^(-8) - 6/a^6 + 5/a^4 - (4*z^2)/a^12 + 
   (11*z^2)/a^10 - z^2/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + (5*z^4)/a^10 - 
   z^4/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 4380] -> -2/a^12 + 7/a^10 - 9/a^8 + 
   3/a^6 + 2/a^4 - (2*z^2)/a^12 + (14*z^2)/a^10 - (20*z^2)/a^8 + 
   (6*z^2)/a^6 + (5*z^2)/a^4 + (10*z^4)/a^10 - (21*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 4381] -> 
  7 + 2/a^4 - 5/a^2 - 5*a^2 + 2*a^4 + 14*z^2 + (4*z^2)/a^4 - (14*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 12*z^4 + (2*z^4)/a^4 - (11*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 4382] -> 
  7 - a^(-6) + 4/a^4 - 7/a^2 - 2*a^2 + 15*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (14*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 4383] -> -a^2 + 9*a^6 - 9*a^8 + 2*a^10 - 
   3*a^2*z^2 + 24*a^6*z^2 - 15*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   24*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 4384] -> 
  4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + z^2/a^16 + z^2/a^14 - (22*z^2)/a^12 + 
   (22*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^14 - (12*z^4)/a^12 + 
   (28*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 4385] -> 
  2 - 4/a^6 + 9/a^4 - 6/a^2 + 3*z^2 + z^2/a^8 - (7*z^2)/a^6 + (18*z^2)/a^4 - 
   (12*z^2)/a^2 + 2*z^4 - (4*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4386] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 4387] -> 
  2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 3/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (11*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (7*z^4)/a^6 + 
   (12*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 4388] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4389] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4390] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 4391] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (35*z^2)/a^6 - (27*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (41*z^4)/a^6 - (29*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4392] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   5*z^2 + 25*a^2*z^2 - 35*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   26*a^2*z^4 - 43*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 4393] -> a^(-14) - 4/a^12 + 8/a^10 - 11/a^8 + 
   7/a^6 + z^2/a^14 - (9*z^2)/a^12 + (25*z^2)/a^10 - (33*z^2)/a^8 + 
   (20*z^2)/a^6 - (4*z^4)/a^12 + (26*z^4)/a^10 - (42*z^4)/a^8 + 
   (20*z^4)/a^6 + (10*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 4394] -> 
  2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4395] -> 3 - a^(-2) + 2*a^2 - 8*a^4 + 7*a^6 - 
   2*a^8 + 7*z^2 - (2*z^2)/a^2 + a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 13*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4396] -> a^(-14) - 5/a^12 + 9/a^10 - 6/a^8 - 
   2/a^6 + 4/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - (13*z^2)/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 + (10*z^4)/a^10 - (13*z^4)/a^8 - (9*z^4)/a^6 + 
   (6*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 4397] -> 2 + a^(-10) - 5/a^8 + 7/a^6 - 
   2/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 4398] -> 
  3 - a^(-2) + a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 7*z^2 - (2*z^2)/a^2 - 
   13*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 4399] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 - a^(-6) + 3/a^4 - (4*z^2)/a^12 + 
   (12*z^2)/a^10 - (9*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (8*z^4)/a^10 - 
   (10*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4400] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   18*z^2 + z^2/a^6 - (7*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4401] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 6*z^2 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 - z^4/a^6 - z^4/a^4 + (11*z^4)/a^2 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 4402] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^10 - (12*z^2)/a^8 + (22*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - (5*z^4)/a^8 + (17*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4403] -> -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 
   4/a^4 - z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 - (4*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 4404] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 - z^8, Knot[14, NonAlternating, 4405] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 13*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4406] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 2*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 4407] -> 
  -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 38*z^2 - (4*z^2)/a^4 + 
   (24*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 39*z^4 - z^4/a^4 + (17*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 4408] -> 
  -4 - 2/a^8 + 9/a^6 - 17/a^4 + 15/a^2 - 8*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (38*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (33*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (9*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 4409] -> 
  2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (36*z^2)/a^6 - (33*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^8 + (28*z^4)/a^6 - 
   (40*z^4)/a^4 + (13*z^4)/a^2 + (9*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4410] -> a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 
   9/a^6 + z^2/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 - (38*z^2)/a^8 + 
   (21*z^2)/a^6 - (4*z^4)/a^12 + (23*z^4)/a^10 - (35*z^4)/a^8 + 
   (16*z^4)/a^6 + (6*z^6)/a^10 - (16*z^6)/a^8 + (4*z^6)/a^6 - (3*z^8)/a^8, 
 Knot[14, NonAlternating, 4411] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 
   8*z^2 + 32*a^2*z^2 - 38*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   26*a^2*z^4 - 33*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 4412] -> -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 
   38*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 24*a^2*z^2 - 4*a^4*z^2 - 39*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 17*a^2*z^4 - a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 4413] -> -13 + 2/a^6 - 10/a^4 + 18/a^2 + 4*a^2 - 
   31*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (39*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (33*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 4414] -> a^(-10) - 8/a^8 + 15/a^6 - 11/a^4 + 
   4/a^2 + (2*z^2)/a^10 - (17*z^2)/a^8 + (39*z^2)/a^6 - (28*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + (42*z^4)/a^6 - (29*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4415] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4416] -> 
  -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4417] -> a^(-10) - 6/a^8 + 11/a^6 - 
   9/a^4 + 4/a^2 + z^2/a^10 - (10*z^2)/a^8 + (27*z^2)/a^6 - (25*z^2)/a^4 + 
   (9*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - (31*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4418] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 4*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (30*z^2)/a^4 + (21*z^2)/a^2 - 2*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (27*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4419] -> 
  -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 25*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (27*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (21*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 4420] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (10*z^2)/a^10 - 
   (28*z^2)/a^8 + (28*z^2)/a^6 - (5*z^2)/a^4 + (6*z^4)/a^10 - (26*z^4)/a^8 + 
   (32*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (20*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4421] -> -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (32*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 4422] -> 
  -3 - a^(-8) + 6/a^6 - 13/a^4 + 12/a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (27*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4423] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 22*z^2 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4424] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (20*z^2)/a^8 + (14*z^2)/a^6 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (17*z^4)/a^6 - (4*z^4)/a^4 - (5*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 4425] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 4426] -> -2 + 11*a^2 - 15*a^4 + 9*a^6 - 2*a^8 - 
   3*z^2 + 20*a^2*z^2 - 33*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   13*a^2*z^4 - 29*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 4427] -> 
  -11 + 2/a^6 - 8/a^4 + 14/a^2 + 4*a^2 - 26*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (27*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 4428] -> 
  -2 - 2/a^8 + 9/a^6 - 15/a^4 + 11/a^2 - 3*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (33*z^2)/a^4 + (20*z^2)/a^2 - z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (29*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4429] -> 
  -9 + 4/a^2 + 8*a^2 - 2*a^4 - 27*z^2 + (10*z^2)/a^2 + 18*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + (8*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 4430] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (26*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 4431] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4432] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 26*z^2 - 
   (4*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 4433] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 - 
   z^2 + 11*a^2*z^2 - 22*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   10*a^2*z^4 - 24*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 4434] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 21*z^2 + (6*z^2)/a^2 + 24*a^2*z^2 - 
   7*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 4435] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (24*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (22*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4436] -> -5 - a^(-4) + 2/a^2 + 10*a^2 - 5*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4437] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (26*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 4438] -> 
  4 - a^(-2) - 7*a^4 + 7*a^6 - 2*a^8 + 5*z^2 - z^2/a^2 - a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 4439] -> 
  -8 + a^(-8) - 3/a^6 + 2/a^4 + 5/a^2 + 4*a^2 - 13*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 4440] -> 4 - 2/a^8 + 7/a^6 - 7/a^4 - 
   a^2 + 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4441] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 + 
   3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 4442] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4443] -> 3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 
   4*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + 
   z^4 - (2*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 4444] -> 
  -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 25*z^2 + (3*z^2)/a^6 - 
   (21*z^2)/a^4 + (41*z^2)/a^2 + 5*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (40*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4445] -> -11 + 2/a^6 - 12/a^4 + 20/a^2 + 2*a^2 - 
   26*z^2 + (3*z^2)/a^6 - (22*z^2)/a^4 + (44*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (37*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 4446] -> -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 
   3/a^4 - z^2/a^12 + (10*z^2)/a^10 - (34*z^2)/a^8 + (40*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^4)/a^10 - (26*z^4)/a^8 + (43*z^4)/a^6 - (12*z^4)/a^4 - 
   (9*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4447] -> 
  -a^(-12) + 7/a^10 - 18/a^8 + 17/a^6 - 4/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (35*z^2)/a^8 + (43*z^2)/a^6 - (11*z^2)/a^4 + (4*z^4)/a^10 - (24*z^4)/a^8 + 
   (40*z^4)/a^6 - (10*z^4)/a^4 - (6*z^6)/a^8 + (17*z^6)/a^6 - (3*z^6)/a^4 + 
   (3*z^8)/a^6, Knot[14, NonAlternating, 4448] -> 
  -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 26*z^2 + (5*z^2)/a^2 + 44*a^2*z^2 - 
   22*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 37*a^2*z^4 - 14*a^4*z^4 + 
   a^6*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 4449] -> -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 
   25*z^2 + (5*z^2)/a^2 + 41*a^2*z^2 - 21*a^4*z^2 + 3*a^6*z^2 - 24*z^4 + 
   (4*z^4)/a^2 + 40*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 4450] -> -5 - a^(-8) + 7/a^6 - 17/a^4 + 17/a^2 - 
   10*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (37*z^2)/a^4 + (36*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (11*z^4)/a^6 - (31*z^4)/a^4 + (29*z^4)/a^2 - z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4451] -> 2 - 3/a^8 + 5/a^6 - 3/a^2 + 3*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4452] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 
   z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - z^4 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4453] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   5*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4454] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (24*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - 
   (6*z^4)/a^8 + (26*z^4)/a^6 - (29*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4455] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (18*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (22*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4456] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4457] -> -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 
   38*z^2 - (4*z^2)/a^4 + (24*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 22*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 4458] -> -4 - 2/a^8 + 9/a^6 - 17/a^4 + 15/a^2 - 
   8*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (38*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (33*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (9*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4459] -> 2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 
   4/a^2 + z^2/a^10 - (13*z^2)/a^8 + (36*z^2)/a^6 - (33*z^2)/a^4 + 
   (12*z^2)/a^2 - (4*z^4)/a^8 + (28*z^4)/a^6 - (40*z^4)/a^4 + (13*z^4)/a^2 + 
   (9*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4460] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 9/a^6 + z^2/a^14 - (10*z^2)/a^12 + 
   (30*z^2)/a^10 - (38*z^2)/a^8 + (21*z^2)/a^6 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (35*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^10 - 
   (16*z^6)/a^8 + (4*z^6)/a^6 - (3*z^8)/a^8, 
 Knot[14, NonAlternating, 4461] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 
   8*z^2 + 32*a^2*z^2 - 38*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   26*a^2*z^4 - 33*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 4462] -> -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 
   38*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 24*a^2*z^2 - 4*a^4*z^2 - 39*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 17*a^2*z^4 - a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 4463] -> -13 + 2/a^6 - 10/a^4 + 18/a^2 + 4*a^2 - 
   31*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (39*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (33*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 4464] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (13*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4465] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 3*a^2*z^2 + 
   2*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 20*a^6*z^4 - 
   7*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 4466] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - (2*z^2)/a^14 - 
   (15*z^2)/a^12 + (18*z^2)/a^10 + (8*z^2)/a^8 - (2*z^4)/a^14 - 
   (9*z^4)/a^12 + (25*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 4467] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 4468] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 13*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 4469] -> 
  -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (33*z^2)/a^6 - (26*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (40*z^4)/a^6 - (29*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4470] -> 2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4471] -> 
  -7 + 4/a^2 + 4*a^2 - 14*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   z^6 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4472] -> 2 - 4/a^8 + 9/a^6 - 5/a^4 - a^(-2) + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4473] -> 2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + 
   a^(-2) + z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - z^4 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4474] -> -3 + 3/a^2 - a^2 + 2*a^4 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4475] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (22*z^2)/a^8 + (26*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^4)/a^10 - (24*z^4)/a^8 + (32*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - 
   (12*z^6)/a^8 + (20*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4476] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (28*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 4477] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 7*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (20*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4478] -> -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 
   25*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + (41*z^2)/a^2 + 5*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (40*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (22*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4479] -> -11 + 2/a^6 - 12/a^4 + 20/a^2 + 2*a^2 - 
   26*z^2 + (3*z^2)/a^6 - (22*z^2)/a^4 + (44*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (37*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 4480] -> -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 
   3/a^4 - z^2/a^12 + (10*z^2)/a^10 - (34*z^2)/a^8 + (40*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^4)/a^10 - (26*z^4)/a^8 + (43*z^4)/a^6 - (12*z^4)/a^4 - 
   (9*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4481] -> 
  -a^(-12) + 7/a^10 - 18/a^8 + 17/a^6 - 4/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (35*z^2)/a^8 + (43*z^2)/a^6 - (11*z^2)/a^4 + (4*z^4)/a^10 - (24*z^4)/a^8 + 
   (40*z^4)/a^6 - (10*z^4)/a^4 - (6*z^6)/a^8 + (17*z^6)/a^6 - (3*z^6)/a^4 + 
   (3*z^8)/a^6, Knot[14, NonAlternating, 4482] -> 
  -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 26*z^2 + (5*z^2)/a^2 + 44*a^2*z^2 - 
   22*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 37*a^2*z^4 - 14*a^4*z^4 + 
   a^6*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 4483] -> -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 
   25*z^2 + (5*z^2)/a^2 + 41*a^2*z^2 - 21*a^4*z^2 + 3*a^6*z^2 - 24*z^4 + 
   (4*z^4)/a^2 + 40*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 
   22*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 4484] -> -5 - a^(-8) + 7/a^6 - 17/a^4 + 17/a^2 - 
   10*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (37*z^2)/a^4 + (36*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (11*z^4)/a^6 - (31*z^4)/a^4 + (29*z^4)/a^2 - z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4485] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (30*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4486] -> a^(-10) - 5/a^8 + 8/a^6 - 
   6/a^4 + 3/a^2 + z^2/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (19*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^8 + (18*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 + 
   (5*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 4487] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4488] -> 
  -4 + 3/a^2 - a^2 + 5*a^4 - 2*a^6 - 9*z^2 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 - 7*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 4489] -> 
  -3 + a^(-8) - 4/a^6 + 3/a^4 + 3/a^2 + a^2 - 6*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 4490] -> 
  4 - a^(-8) + 2/a^6 - 2/a^4 - 2*a^2 + 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 4491] -> 
  2/a^14 - 4/a^12 - 2/a^10 + 5/a^8 + (2*z^2)/a^14 - (10*z^2)/a^12 + 
   z^2/a^10 + (14*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^12 + (6*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 4492] -> 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 4493] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 4494] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4495] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 4496] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (8*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 4497] -> -2*a^2 + 5*a^4 - 2*a^8 - 
   5*a^2*z^2 + 11*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 4498] -> 
  a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 4/a^8 + z^2/a^16 - (3*z^2)/a^14 - 
   (7*z^2)/a^12 + (5*z^2)/a^10 + (13*z^2)/a^8 - (2*z^4)/a^14 - (4*z^4)/a^12 + 
   (12*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 4499] -> 3 - a^(-6) + a^(-2) - 2*a^2 + 
   6*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 4500] -> 
  a^(-12) - 4/a^10 + 5/a^8 - a^(-6) - 3/a^4 + 3/a^2 - (4*z^2)/a^10 + 
   (12*z^2)/a^8 - (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + (8*z^4)/a^8 - 
   (9*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 4501] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (27*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4502] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 29*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 4503] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + 
   (6*z^2)/a^10 - (19*z^2)/a^8 + (22*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (31*z^4)/a^6 - (9*z^4)/a^4 - (9*z^6)/a^8 + (22*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4504] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + 
   z^2/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 4505] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 4506] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4507] -> 2 - 3/a^8 + 5/a^6 - 3/a^2 + 3*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4508] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 
   z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - z^4 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4509] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   5*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4510] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 4511] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4512] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 4513] -> 
  a^(-14) - 6/a^12 + 10/a^10 - 5/a^8 - 3/a^6 + 4/a^4 - (6*z^2)/a^12 + 
   (20*z^2)/a^10 - (14*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + 
   (14*z^4)/a^10 - (17*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4514] -> a^(-12) - 4/a^10 + 2/a^8 + 7/a^6 - 
   10/a^4 + 5/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + 
   (10*z^2)/a^2 + (5*z^4)/a^8 + (2*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4515] -> -9 - 2/a^4 + 8/a^2 + 2*a^2 + 4*a^4 - 
   2*a^6 - 17*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 2*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 4516] -> 
  2/a^10 - 12/a^8 + 20/a^6 - 13/a^4 + 4/a^2 + z^2/a^10 - (18*z^2)/a^8 + 
   (48*z^2)/a^6 - (38*z^2)/a^4 + (12*z^2)/a^2 - (8*z^4)/a^8 + (41*z^4)/a^6 - 
   (44*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^8 + (15*z^6)/a^6 - (26*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4517] -> a^(-12) - 5/a^10 + 4/a^8 + 5/a^6 - 8/a^4 + 
   4/a^2 - (6*z^2)/a^10 + (14*z^2)/a^8 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 4518] -> 
  -4 - a^(-4) + 3/a^2 + 4*a^2 - a^6 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 4519] -> 
  2*a^4 - 2*a^6 + 2*a^8 + a^10 - 3*a^12 + a^14 + 5*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 + 7*a^10*z^2 - 5*a^12*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 8*a^10*z^4 - 
   a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - 
   a^8*z^8, Knot[14, NonAlternating, 4520] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 4521] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 4522] -> -1 - a^(-8) + a^(-6) - a^(-4) + 
   3/a^2 - 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4523] -> 
  5*a^6 - 10*a^8 + 14*a^10 - 11*a^12 + 3*a^14 + 15*a^6*z^2 - 28*a^8*z^2 + 
   38*a^10*z^2 - 20*a^12*z^2 + 2*a^14*z^2 + 16*a^6*z^4 - 34*a^8*z^4 + 
   39*a^10*z^4 - 10*a^12*z^4 + 7*a^6*z^6 - 23*a^8*z^6 + 16*a^10*z^6 - 
   a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 4524] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 4525] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 3*a^2*z^2 - 7*a^4*z^2 + 
   13*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 4526] -> -2 - 2/a^8 + 4/a^6 - 5/a^4 + 6/a^2 - 
   3*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4527] -> 
  4*a^6 - 7*a^8 + 10*a^10 - 8*a^12 + 2*a^14 + 14*a^6*z^2 - 24*a^8*z^2 + 
   33*a^10*z^2 - 16*a^12*z^2 + a^14*z^2 + 16*a^6*z^4 - 32*a^8*z^4 + 
   36*a^10*z^4 - 8*a^12*z^4 + 7*a^6*z^6 - 23*a^8*z^6 + 15*a^10*z^6 - 
   a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 4528] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 4529] -> 2 - a^(-8) + a^(-6) - a^2 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 4530] -> 
  a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 4*a^4*z^2 - 2*a^8*z^2 + 
   11*a^10*z^2 - 6*a^12*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 
   10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[14, NonAlternating, 4531] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4532] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 4533] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 4534] -> -1 - a^(-8) + a^(-6) - a^(-4) + 
   3/a^2 - 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4535] -> 
  5*a^6 - 10*a^8 + 14*a^10 - 11*a^12 + 3*a^14 + 15*a^6*z^2 - 28*a^8*z^2 + 
   38*a^10*z^2 - 20*a^12*z^2 + 2*a^14*z^2 + 16*a^6*z^4 - 34*a^8*z^4 + 
   39*a^10*z^4 - 10*a^12*z^4 + 7*a^6*z^6 - 23*a^8*z^6 + 16*a^10*z^6 - 
   a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 4536] -> -9 + 4/a^2 + 9*a^2 - 3*a^4 - a^6 + a^8 - 
   18*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   11*z^4 + z^4/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 
   7*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 4537] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 10*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4538] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4539] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - a^4 - a^6 + 
   a^8 + z^2 + z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 4540] -> a^(-6) - 2/a^4 + 2/a^2 - a^4 + a^6 - 
   (2*z^2)/a^4 + a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 + 3*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 4541] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 - z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 4542] -> 4 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - 
   4*a^2 + 2*a^4 + 7*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 4543] -> 
  1 + a^(-8) - 4/a^6 + 7/a^4 - 5/a^2 + a^2 - z^2 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (12*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4544] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 
   2*a^4 + z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4545] -> 
  -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 9*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 4546] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 4547] -> 
  4 + a^(-10) - 2/a^8 + 5/a^4 - 7/a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 - 
   z^2/a^6 + (12*z^2)/a^4 - (15*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (12*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4548] -> -2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) + 
   2*a^2 - 5*z^2 - (2*z^2)/a^8 + (2*z^2)/a^4 + a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4549] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 4550] -> -6 - a^(-4) + 5/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4551] -> 3 - 2/a^8 + 6/a^6 - 6/a^4 + a^(-2) - a^2 + 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4552] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 4553] -> -6 + 3/a^2 + 5*a^2 - 2*a^6 + 
   a^8 - 9*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4554] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4555] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 4556] -> -6 - a^(-4) + 5/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4557] -> 3 - 2/a^8 + 6/a^6 - 6/a^4 + a^(-2) - a^2 + 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4558] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 4559] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   16*z^2 + (5*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4560] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - a^6*z^2 + a^8*z^2 - 6*z^4 + z^4/a^2 + 3*a^2*z^4 - 2*a^6*z^4 - 
   z^6 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 4561] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 4562] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 4563] -> 
  3 + a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 4564] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 6*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4565] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 
   2*a^4 + 7*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 4566] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 
   2/a^2 - a^2 + 10*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 - 
   3*a^2*z^2 + 9*z^4 + (2*z^4)/a^6 + z^4/a^4 - (11*z^4)/a^2 - a^2*z^4 + 
   2*z^6 - (6*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4567] -> 
  4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 8*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 4568] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 + z^2 - 
   8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4569] -> -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 
   15*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   11*z^4 + z^4/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 
   7*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 4570] -> 
  -2 + 2/a^6 - 5/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 5*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (15*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 4571] -> -3 + 2/a^2 + a^2 + 3*a^4 - 
   3*a^6 + a^8 - 3*z^2 + z^2/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 + z^4 - 7*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 4572] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4573] -> -6 - a^(-4) + 5/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 15*z^4 - z^4/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   7*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 4574] -> 
  1 + 2/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^6 + 3*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 4575] -> 
  a^(-4) - a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 2*z^2 - z^2/a^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - z^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 4576] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4577] -> -3 + a^(-4) + 5*a^2 - 2*a^4 - a^6 + a^8 - 
   4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 4578] -> 
  4 + a^(-6) - a^(-4) - a^(-2) - 3*a^2 + a^6 + 5*z^2 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^4 + 3*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 4579] -> a^(-8) - 2/a^6 + a^(-4) + 
   a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 4580] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 4581] -> 
  -a^(-12) + a^(-10) + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + (3*z^2)/a^10 - 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 4582] -> 
  3 + 2/a^6 - 4/a^4 + 2/a^2 - 4*a^2 + 2*a^4 + 9*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 - 12*a^2*z^2 + 3*a^4*z^2 + 12*z^4 - (2*z^4)/a^4 - 9*a^2*z^4 + 
   a^4*z^4 + 6*z^6 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 4583] -> 
  -3 + a^(-4) + 5*a^2 - 2*a^4 - a^6 + a^8 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + z^4 - (2*z^4)/a^2 + 4*a^2*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 4584] -> 4 + a^(-6) - a^(-4) - a^(-2) - 
   3*a^2 + a^6 + 5*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   3*z^4 + z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4585] -> a^(-8) - 2/a^6 + a^(-4) + a^(-2) - a^2 + 
   a^4 - z^2 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 4586] -> 
  -9 - 2/a^4 + 8/a^2 + 2*a^2 + 4*a^4 - 2*a^6 - 17*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 4587] -> 1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 - 
   3*a^2 + 2*a^4 + z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 3*z^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 4588] -> -2 - a^(-6) + 2/a^4 - a^(-2) + 6*a^2 - 
   3*a^4 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 
   10*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4589] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 4590] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 4591] -> 3*a^2 - 6*a^4 + 9*a^6 - 7*a^8 + 2*a^10 + 
   7*a^2*z^2 - 19*a^4*z^2 + 24*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 20*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 4592] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   3*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 4593] -> -9 + 4/a^2 + 7*a^2 + a^4 - 3*a^6 + a^8 - 
   16*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 10*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4594] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 15*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4595] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4596] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 
   4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   3*z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 4597] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 23*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 
   21*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 4598] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 
   4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 4599] -> 3*a^2 - 6*a^4 + 9*a^6 - 7*a^8 + 2*a^10 + 
   7*a^2*z^2 - 19*a^4*z^2 + 24*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 20*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 4600] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   3*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 4601] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   16*z^2 + (5*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4602] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - a^6*z^2 + a^8*z^2 - 6*z^4 + z^4/a^2 + 3*a^2*z^4 - 2*a^6*z^4 - 
   z^6 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 4603] -> 
  4 + a^(-10) - 2/a^8 + 5/a^4 - 7/a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 - 
   z^2/a^6 + (12*z^2)/a^4 - (15*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (12*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4604] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4605] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   10*z^2 + z^2/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 4606] -> -9 + 4/a^2 + 9*a^2 - 3*a^4 - 
   a^6 + a^8 - 18*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 11*z^4 + z^4/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 
   7*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 4607] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 4608] -> -6 + 3/a^2 + 5*a^2 - 2*a^6 + 
   a^8 - 9*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4609] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4610] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 4611] -> -6 - a^(-4) + 5/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4612] -> 3 - 2/a^8 + 6/a^6 - 6/a^4 + a^(-2) - a^2 + 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4613] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 4614] -> -6 + 3/a^2 + 5*a^2 - 2*a^6 + 
   a^8 - 9*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4615] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4616] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 4617] -> -6 - a^(-4) + 5/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4618] -> 3 - 2/a^8 + 6/a^6 - 6/a^4 + a^(-2) - a^2 + 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4619] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 4620] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   23*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4621] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 4622] -> 4 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - 
   4*a^2 + 2*a^4 + 7*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 4623] -> 
  1 + a^(-8) - 4/a^6 + 7/a^4 - 5/a^2 + a^2 - z^2 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (12*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4624] -> -2 - a^(-6) + 2/a^4 - a^(-2) + 6*a^2 - 
   3*a^4 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 
   10*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4625] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 4626] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 15*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4627] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4628] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 4629] -> 2*a^4 - a^6 + 2*a^10 - 3*a^12 + a^14 + 
   4*a^4*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 - 3*a^8*z^4 + 
   5*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 4630] -> 
  -9 - 3/a^4 + 8/a^2 + 8*a^2 - 3*a^4 - 21*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 4631] -> 5*a^6 - 8*a^8 + 9*a^10 - 
   7*a^12 + 2*a^14 + 13*a^6*z^2 - 18*a^8*z^2 + 21*a^10*z^2 - 11*a^12*z^2 + 
   a^14*z^2 + 11*a^6*z^4 - 17*a^8*z^4 + 18*a^10*z^4 - 4*a^12*z^4 + 
   3*a^6*z^6 - 9*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, 
 Knot[14, NonAlternating, 4632] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 4633] -> 
  4*a^6 - 6*a^8 + 8*a^10 - 7*a^12 + 2*a^14 + 13*a^6*z^2 - 18*a^8*z^2 + 
   23*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 12*a^6*z^4 - 19*a^8*z^4 + 
   20*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 10*a^8*z^6 + 5*a^10*z^6 - 
   2*a^8*z^8, Knot[14, NonAlternating, 4634] -> 
  -3 - 2/a^8 + 4/a^6 - 6/a^4 + 8/a^2 - 7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4635] -> a^4 + a^6 - a^8 + 2*a^10 - 3*a^12 + a^14 + 
   4*a^4*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 3*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + 
   5*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 4636] -> 
  1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 4637] -> -9 - 3/a^4 + 8/a^2 + 8*a^2 - 3*a^4 - 
   21*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4638] -> 
  5*a^6 - 8*a^8 + 9*a^10 - 7*a^12 + 2*a^14 + 13*a^6*z^2 - 18*a^8*z^2 + 
   21*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 11*a^6*z^4 - 17*a^8*z^4 + 
   18*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 9*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, 
 Knot[14, NonAlternating, 4639] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 4640] -> 
  a^2 + a^4 - 3*a^8 + 3*a^10 - a^12 + 4*a^4*z^2 - 6*a^8*z^2 + 4*a^10*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - 6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 4641] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4642] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   6*z^2 + 21*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   19*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4643] -> a^(-10) - 7/a^8 + 12/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (27*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4644] -> 2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 + 
   17*a^6*z^2 - 27*a^8*z^2 + 15*a^10*z^2 - 2*a^12*z^2 - 6*a^4*z^4 + 
   25*a^6*z^4 - 30*a^8*z^4 + 9*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   14*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 4645] -> -5/a^8 + 11/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (28*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (25*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4646] -> a^4 + 5*a^6 - 10*a^8 + 7*a^10 - 2*a^12 + 
   18*a^6*z^2 - 26*a^8*z^2 + 13*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 
   24*a^6*z^4 - 28*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 4647] -> 1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 4648] -> 
  3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 5*a^4*z^2 + a^6*z^2 - 8*a^8*z^2 + 
   5*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 4649] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   6*z^2 + 21*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   19*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4650] -> a^(-10) - 7/a^8 + 12/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (27*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4651] -> 2*a^4 + 3*a^6 - 9*a^8 + 7*a^10 - 2*a^12 + 
   17*a^6*z^2 - 27*a^8*z^2 + 15*a^10*z^2 - 2*a^12*z^2 - 6*a^4*z^4 + 
   25*a^6*z^4 - 30*a^8*z^4 + 9*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   14*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 4652] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 5*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 4653] -> 6 - 2/a^2 - 4*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4654] -> 6 - 2/a^2 - 4*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4655] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 4656] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4657] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 4658] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   4*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 4659] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   4*z^2 + 13*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   15*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 4660] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 4661] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^4*z^2 + 14*a^6*z^2 - 22*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 
   23*a^6*z^4 - 27*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 4662] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4663] -> a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 4664] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   4*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 4665] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 
   z^2 - 3*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 4666] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   15*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 4667] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 + z^4/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4668] -> 
  1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 4669] -> 
  -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 - z^2/a^10 + z^2/a^8 + (11*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4670] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4671] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   5*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4672] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 11*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 4673] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 4*z^2 - z^2/a^4 + z^2/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 4674] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + 
   a^10 + 2*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 
   2*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 4675] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + z^2 + 
   4*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4676] -> -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - 
   a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   z^4 - 5*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 4677] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 4678] -> 
  1 + a^6 - 2*a^8 + a^10 - a^2*z^2 + a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 
   a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 4679] -> 
  4*a^8 - 3*a^10 + a^12 - a^14 + 18*a^8*z^2 - 7*a^10*z^2 + 3*a^12*z^2 - 
   2*a^14*z^2 + 20*a^8*z^4 - 3*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 
   a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 4680] -> 
  a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 6*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 
   2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 5*a^8*z^4 + a^12*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 4681] -> 2*a^6 - a^10 + a^12 - a^14 + 
   2*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 + a^12*z^2 + a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4, Knot[14, NonAlternating, 4682] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 4683] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4684] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4685] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 8*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + z^4/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 2*z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 4686] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4687] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 4688] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4689] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4690] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4691] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4692] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4693] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (21*z^2)/a^2 + a^2*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4694] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (11*z^2)/a^10 - (29*z^2)/a^8 + (28*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^4)/a^10 - (31*z^4)/a^8 + (37*z^4)/a^6 - (10*z^4)/a^4 + z^6/a^10 - 
   (14*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4695] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 6*z^2 - z^2/a^8 + (14*z^2)/a^6 - 
   (30*z^2)/a^4 + (23*z^2)/a^2 - 11*z^4 + (7*z^4)/a^6 - (33*z^4)/a^4 + 
   (34*z^4)/a^2 - 6*z^6 + z^6/a^6 - (14*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 4696] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 4697] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4698] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (10*z^2)/a^10 - (28*z^2)/a^8 + (29*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^4)/a^10 - (29*z^4)/a^8 + (39*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^10 - 
   (13*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4699] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4700] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4701] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + (3*z^2)/a^16 - (14*z^2)/a^14 - 
   (4*z^2)/a^12 + (28*z^2)/a^10 + z^4/a^16 - (19*z^4)/a^14 + (15*z^4)/a^12 + 
   (42*z^4)/a^10 - (8*z^6)/a^14 + (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 4702] -> -3 + 6*a^2 - 2*a^6 - 7*z^2 + 12*a^2*z^2 + 
   7*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + 12*a^2*z^4 + 11*a^4*z^4 - 5*a^6*z^4 - 
   z^6 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 4703] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (4*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^12 - 
   (9*z^4)/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 4704] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (25*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (33*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 4705] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4706] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4707] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 - (6*z^4)/a^14 + (4*z^4)/a^12 + 
   (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 4708] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 4709] -> a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 4710] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 
   25*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (28*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (15*z^4)/a^4 + (36*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4711] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (7*z^2)/a^10 - (17*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^10 - (12*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 4712] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 
   a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   z^6/a^2 + 4*a^2*z^6 - z^8, Knot[14, NonAlternating, 4713] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (27*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - (6*z^4)/a^8 + (29*z^4)/a^6 - 
   (38*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4714] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4715] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4716] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 - 
   (7*z^4)/a^8 + (32*z^4)/a^6 - (35*z^4)/a^4 + (11*z^4)/a^2 - z^6/a^8 + 
   (14*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4717] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (25*z^2)/a^8 + 
   (33*z^2)/a^6 - (8*z^2)/a^4 + (6*z^4)/a^10 - (27*z^4)/a^8 + (41*z^4)/a^6 - 
   (11*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4718] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 4719] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - 
   (16*z^2)/a^8 + (13*z^2)/a^6 + (3*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4720] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 
   5*a^4*z^2 + 15*a^6*z^2 + 7*a^8*z^2 - 7*a^10*z^2 - 4*a^4*z^4 + 14*a^6*z^4 + 
   12*a^8*z^4 - 5*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 4721] -> 
  -1 + 3*a^2 - 4*a^4 + 7*a^6 - 4*a^8 - 2*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - z^4 + 8*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4722] -> 2/a^10 - 6/a^8 + 6/a^6 - 3/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4723] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 13*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4724] -> 
  -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 4725] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 2*a^2*z^2 + 
   3*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 4726] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^12 + z^2/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - 
   z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 4727] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 4728] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 19*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4729] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 + z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 4730] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4731] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4732] -> a^(-14) - 4/a^12 + 6/a^10 - 
   7/a^8 + 5/a^6 + z^2/a^14 - (11*z^2)/a^12 + (24*z^2)/a^10 - (23*z^2)/a^8 + 
   (15*z^2)/a^6 - (7*z^4)/a^12 + (30*z^4)/a^10 - (32*z^4)/a^8 + 
   (16*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 4733] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4734] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 4735] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (8*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4736] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   6*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4737] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4738] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (3*z^2)/a^16 - (18*z^2)/a^14 + (4*z^2)/a^12 + (25*z^2)/a^10 + z^4/a^16 - 
   (20*z^4)/a^14 + (20*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + 
   (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 4739] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + 9*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - 
   5*z^4 + 12*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 - z^6 + 6*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 4740] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (5*z^2)/a^12 - (11*z^2)/a^10 + 
   (11*z^2)/a^6 + (4*z^4)/a^12 - (10*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 4741] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   z^2/a^16 - (7*z^2)/a^14 - (7*z^2)/a^12 + (21*z^2)/a^10 + (5*z^2)/a^8 - 
   (6*z^4)/a^14 + (3*z^4)/a^12 + (26*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 4742] -> -3 + 6*a^2 - 2*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 11*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 4743] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 4744] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (28*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - z^4/a^8 + (15*z^4)/a^6 - 
   (37*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4745] -> 2/a^14 - 8/a^12 + 8/a^10 - 3/a^8 + 2/a^6 + 
   z^2/a^14 - (16*z^2)/a^12 + (30*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 - 
   (8*z^4)/a^12 + (35*z^4)/a^10 - (27*z^4)/a^8 + (15*z^4)/a^6 - z^6/a^12 + 
   (15*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 4746] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - (3*z^2)/a^14 - 
   (11*z^2)/a^12 + (16*z^2)/a^10 + (8*z^2)/a^8 - (5*z^4)/a^14 - z^4/a^12 + 
   (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 4747] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 9*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4748] -> a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 
   2/a^6 - (6*z^2)/a^12 + (10*z^2)/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^12 + (10*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4749] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   2*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + 
   (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 4750] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (2*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 4751] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 
   3*a^2 - 20*z^2 + z^2/a^6 - (4*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 
   24*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 4752] -> a^(-14) - 5/a^12 + 10/a^10 - 
   12/a^8 + 7/a^6 - (7*z^2)/a^12 + (26*z^2)/a^10 - (35*z^2)/a^8 + 
   (21*z^2)/a^6 - (2*z^4)/a^12 + (25*z^4)/a^10 - (44*z^4)/a^8 + 
   (21*z^4)/a^6 + (9*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 4753] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^12 + z^2/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 - z^4/a^12 + (5*z^4)/a^10 - z^4/a^8 + (7*z^4)/a^6 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 4754] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   6*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4755] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4756] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4757] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4758] -> a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 
   5/a^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + 
   (7*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4759] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 4760] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 + 4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4761] -> -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 
   7*z^2 + 29*a^2*z^2 - 34*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   29*a^2*z^4 - 41*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 4762] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   13*z^2 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4763] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (3*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4764] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 4765] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 18*z^2 + (2*z^2)/a^6 - (17*z^2)/a^4 + 
   (34*z^2)/a^2 + 3*a^2*z^2 - 23*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (41*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4766] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   z^2/a^12 + (5*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^4)/a^10 - (11*z^4)/a^8 + (17*z^4)/a^6 - (3*z^4)/a^4 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 4767] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 4*a^2*z^6 - z^8, Knot[14, NonAlternating, 4768] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (21*z^2)/a^8 + (15*z^2)/a^6 + (7*z^4)/a^10 - (26*z^4)/a^8 + (24*z^4)/a^6 - 
   (6*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 4769] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^8 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4770] -> a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 
   4/a^6 - (6*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 - 
   z^4/a^12 + (10*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 4771] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 7/a^6 - (7*z^2)/a^12 + 
   (26*z^2)/a^10 - (35*z^2)/a^8 + (21*z^2)/a^6 - (2*z^4)/a^12 + 
   (25*z^4)/a^10 - (44*z^4)/a^8 + (21*z^4)/a^6 + (9*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 4772] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4773] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 7*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 4774] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 4775] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4776] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4777] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   11*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 4778] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 4779] -> a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 
   5/a^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + 
   (7*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4780] -> -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 
   7*z^2 + 29*a^2*z^2 - 34*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   29*a^2*z^4 - 41*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 4781] -> -2 + 6*a^2 - 6*a^4 + 6*a^6 - 3*a^8 - 
   4*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 4782] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 20*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 4783] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 11*a^2*z^2 - 16*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - z^4 + 8*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4784] -> -a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 5/a^2 - 
   3*z^2 + (5*z^2)/a^8 - (4*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 - (8*z^4)/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4785] -> -4 - 2/a^6 + 5/a^4 - a^(-2) + 3*a^2 - 
   7*z^2 + (6*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 4786] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + (2*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^8 - z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 4787] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   (2*z^4)/a^8 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4788] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   6*z^2 - z^2/a^6 + (3*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4789] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 2*a^4*z^2 + 2*z^4 + a^2*z^4, 
 Knot[14, NonAlternating, 4790] -> 4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4791] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + 
   (6*z^2)/a^10 - (21*z^2)/a^8 + (20*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (21*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 4792] -> 3/a^14 - 11/a^12 + 9/a^10 + 
   (2*z^2)/a^14 - (21*z^2)/a^12 + (25*z^2)/a^10 + (6*z^2)/a^8 - 
   (12*z^4)/a^12 + (28*z^4)/a^10 + (11*z^4)/a^8 - (2*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 4793] -> -4 + 10*a^2 - 5*a^4 - 4*z^2 - 
   (2*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 + z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 4794] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 10*z^2 + z^2/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 4795] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 4796] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (5*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 4797] -> 
  -4*a^4 + 12*a^6 - 7*a^8 - 2*a^2*z^2 - 4*a^4*z^2 + 28*a^6*z^2 - 12*a^8*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 25*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 4798] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4799] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 + z^2/a^14 - (6*z^2)/a^12 + 
   (4*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 - (3*z^4)/a^12 + (8*z^4)/a^10 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 4800] -> -4 + 11*a^2 - 8*a^4 + 3*a^6 - 
   a^8 - 10*z^2 + 32*a^2*z^2 - 27*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   33*a^2*z^4 - 36*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - z^6 + 14*a^2*z^6 - 
   24*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 4801] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4802] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 - (3*z^2)/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[14, NonAlternating, 4803] -> -a^(-2) + 6*a^2 - 6*a^4 + 3*a^6 - a^8 + 
   5*z^2 - (3*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   7*z^4 - z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 4804] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 11*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 13*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 4805] -> -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 
   4*a^4*z^2 + 11*a^6*z^2 + 12*a^8*z^2 - 8*a^10*z^2 - 4*a^4*z^4 + 
   13*a^6*z^4 + 13*a^8*z^4 - 5*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 4806] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 - a^2*z^2 + 12*a^6*z^2 + 2*a^8*z^2 - 
   3*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 4807] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - z^4 + 9*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4808] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4809] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4810] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + (5*z^2)/a^8 - 
   (8*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 4811] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4812] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4813] -> 2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 + 
   z^2/a^14 - (14*z^2)/a^12 + (27*z^2)/a^10 - (19*z^2)/a^8 + (13*z^2)/a^6 - 
   (7*z^4)/a^12 + (32*z^4)/a^10 - (30*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + 
   (14*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 4814] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 11*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4815] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (18*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4816] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (5*z^2)/a^12 + (8*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (9*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 4817] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4818] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4819] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (24*z^2)/a^14 + (13*z^2)/a^12 + (22*z^2)/a^10 + z^4/a^16 - 
   (22*z^4)/a^14 + (25*z^4)/a^12 + (40*z^4)/a^10 - (8*z^6)/a^14 + 
   (22*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 4820] -> 
  -1 - 2*a^2 + 10*a^4 - 6*a^6 - 6*z^2 + 28*a^4*z^2 - 14*a^6*z^2 - 5*z^4 + 
   6*a^2*z^4 + 29*a^4*z^4 - 10*a^6*z^4 - z^6 + 5*a^2*z^6 + 13*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + 2*a^4*z^8, Knot[14, NonAlternating, 4821] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (7*z^2)/a^12 - (21*z^2)/a^10 + 
   (14*z^2)/a^8 + (6*z^2)/a^6 + (5*z^4)/a^12 - (18*z^4)/a^10 + (10*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^12 - (7*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 4822] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (10*z^2)/a^14 + (17*z^2)/a^10 + (6*z^2)/a^8 - (6*z^4)/a^14 + 
   (6*z^4)/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 4823] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 3*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + z^4 - z^4/a^2 + 
   10*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 4824] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (7*z^2)/a^10 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (4*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 4825] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (8*z^2)/a^12 + (20*z^2)/a^10 + (6*z^2)/a^8 - 
   (5*z^4)/a^14 + z^4/a^12 + (24*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 4826] -> -3 + 6*a^2 - 2*a^6 - 3*z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + z^4 - z^4/a^2 + 
   10*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 4827] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 4828] -> a^(-14) - 5/a^12 + 7/a^10 - 
   6/a^8 + 4/a^6 + z^2/a^14 - (12*z^2)/a^12 + (26*z^2)/a^10 - (21*z^2)/a^8 + 
   (14*z^2)/a^6 - (7*z^4)/a^12 + (31*z^4)/a^10 - (31*z^4)/a^8 + 
   (16*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 4829] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 - 
   (4*z^2)/a^14 - (5*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (13*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 4830] -> -3 + 6*a^2 - 2*a^6 - z^2/a^4 - z^2/a^2 + 
   9*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 4831] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   z^4/a^10 - (2*z^4)/a^8, Knot[14, NonAlternating, 4832] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - (6*z^2)/a^12 + (16*z^2)/a^10 - 
   (15*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - 
   (16*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4833] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 - z^2/a^6 + (8*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4834] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 4835] -> a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 
   4/a^6 - (7*z^2)/a^12 + (18*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (15*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 4836] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 13*z^2 - z^2/a^6 + (9*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   3*z^6 - z^6/a^2, Knot[14, NonAlternating, 4837] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 4838] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 5*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (20*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4839] -> -2 + 7*a^2 - 9*a^4 + 9*a^6 - 4*a^8 - 
   3*z^2 + 14*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   9*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 4840] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 3*z^2 + 17*a^2*z^2 - 23*a^4*z^2 + 
   12*a^6*z^2 - a^8*z^2 - z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 6*a^6*z^4 + 
   2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4841] -> 2/a^10 - 7/a^8 + 10/a^6 - 8/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4842] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4843] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 11/a^8 + 5/a^6 + a^(-4) - (6*z^2)/a^12 + 
   (21*z^2)/a^10 - (24*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + 
   (15*z^4)/a^10 - (22*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4844] -> 3 - a^(-2) - 3*a^2 + 2*a^4 + 2*a^6 - 
   2*a^8 + 5*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4845] -> 2 + a^(-10) - 2/a^8 + 3/a^4 - 3/a^2 + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4846] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4847] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   21*z^2 + z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 4848] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 22*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 
   15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4849] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (21*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (16*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4850] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 
   10/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 - 
   4*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4851] -> 
  -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 14*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 5*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 4*a^2*z^6 - z^8, Knot[14, NonAlternating, 4852] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (22*z^2)/a^8 + (22*z^2)/a^6 - (3*z^2)/a^4 + (3*z^4)/a^10 - (13*z^4)/a^8 + 
   (17*z^4)/a^6 - (3*z^4)/a^4 - (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 4853] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - (21*z^2)/a^8 + (15*z^2)/a^6 + 
   (7*z^4)/a^10 - (26*z^4)/a^8 + (24*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^10 - 
   (13*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4854] -> 
  a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 4/a^6 - (6*z^2)/a^12 + (14*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 - z^4/a^12 + (10*z^4)/a^10 - (9*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 4855] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 7*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 4856] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4857] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4858] -> a^(-10) - 3/a^8 + 5/a^6 - 
   6/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 4859] -> 
  -2 + 6*a^2 - 6*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4860] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   9*z^2 - z^2/a^8 + (14*z^2)/a^6 - (34*z^2)/a^4 + (31*z^2)/a^2 - 12*z^4 + 
   (7*z^4)/a^6 - (34*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 + z^6/a^6 - 
   (14*z^6)/a^4 + (25*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4861] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4862] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4863] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + z^2/a^10 - (14*z^2)/a^8 + 
   (35*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 - (7*z^4)/a^8 + (34*z^4)/a^6 - 
   (39*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + (14*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4864] -> -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 4865] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 12*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (24*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4866] -> 3/a^14 - 11/a^12 + 9/a^10 + z^2/a^16 - 
   (2*z^2)/a^14 - (19*z^2)/a^12 + (29*z^2)/a^10 + (3*z^2)/a^8 - 
   (5*z^4)/a^14 - (6*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 4867] -> -4 + 10*a^2 - 5*a^4 - 6*z^2 - 
   z^2/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^2 + 14*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 + z^6 + 4*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 4868] -> 3/a^10 - 9/a^8 + 7/a^6 + z^2/a^12 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (10*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 4869] -> 2/a^14 - 9/a^12 + 12/a^10 - 8/a^8 + 
   4/a^6 + z^2/a^14 - (16*z^2)/a^12 + (34*z^2)/a^10 - (24*z^2)/a^8 + 
   (14*z^2)/a^6 - (8*z^4)/a^12 + (36*z^4)/a^10 - (32*z^4)/a^8 + 
   (16*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 4870] -> a^(-14) - 4/a^12 + 2/a^10 + 3/a^8 - 
   3/a^6 + 2/a^4 - (6*z^2)/a^12 + (10*z^2)/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - z^4/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 4871] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 6*z^2 - (2*z^2)/a^8 + (18*z^2)/a^6 - 
   (36*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - z^4/a^8 + (16*z^4)/a^6 - 
   (42*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4872] -> -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 
   26*z^2 + (2*z^2)/a^6 - (17*z^2)/a^4 + (38*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (42*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4873] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 
   2*a^2 - 7*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 - (2*z^4)/a^4 + a^2*z^4 - z^6, Knot[14, NonAlternating, 4874] -> 
  2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - z^2/a^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 4875] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 4876] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - 
   a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4877] -> a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 
   4/a^4 + 3/a^2 - (5*z^2)/a^10 + (12*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4/a^10 + (10*z^4)/a^8 - (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 4878] -> 
  5 - a^(-8) + 2/a^6 - a^(-4) - 2/a^2 - 2*a^2 + 7*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4879] -> -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + 
   a^2 - 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 4880] -> a^(-16) - 2/a^14 - 2/a^12 + 
   2/a^10 + 2/a^8 - (4*z^2)/a^14 - z^2/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 4881] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 3*z^2 - 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4, Knot[14, NonAlternating, 4882] -> 
  a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 + (3*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 - z^4/a^8 - z^4/a^6, Knot[14, NonAlternating, 4883] -> 
  a^(-14) - 5/a^12 + 6/a^10 - 2/a^8 - a^(-6) + 2/a^4 - (6*z^2)/a^12 + 
   (14*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - z^4/a^12 + 
   (11*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 4884] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + 
   z^2/a^10 - (14*z^2)/a^8 + (35*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 - 
   (7*z^4)/a^8 + (34*z^4)/a^6 - (39*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^8 + 
   (14*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4885] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (21*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (13*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4886] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + 
   a^2 - 12*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4887] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - (7*z^4)/a^8 + (27*z^4)/a^6 - (22*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4888] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4889] -> a^(-6) - 3/a^4 + 3/a^2 - 
   4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4890] -> 
  3/a^14 - 11/a^12 + 9/a^10 + z^2/a^16 - (2*z^2)/a^14 - (19*z^2)/a^12 + 
   (29*z^2)/a^10 + (3*z^2)/a^8 - (5*z^4)/a^14 - (6*z^4)/a^12 + 
   (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 4891] -> -4 + 10*a^2 - 5*a^4 - 6*z^2 - z^2/a^2 + 
   19*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 + z^6 + 4*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 4892] -> 
  3/a^10 - 9/a^8 + 7/a^6 + z^2/a^12 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (10*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (3*z^6)/a^8, Knot[14, NonAlternating, 4893] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 21*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (20*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4894] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   3*z^2 + 17*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - z^4 + 
   10*a^2*z^4 - 19*a^4*z^4 + 6*a^6*z^4 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 4895] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 22*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 
   15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4896] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (21*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (16*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 4897] -> a^(-14) - 5/a^12 + 10/a^10 - 
   11/a^8 + 5/a^6 + a^(-4) - (6*z^2)/a^12 + (21*z^2)/a^10 - (24*z^2)/a^8 + 
   (9*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (15*z^4)/a^10 - (22*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 4898] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 6*z^2 - (2*z^2)/a^8 + (18*z^2)/a^6 - 
   (36*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - z^4/a^8 + (16*z^4)/a^6 - 
   (42*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4899] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   9*z^2 - z^2/a^8 + (14*z^2)/a^6 - (34*z^2)/a^4 + (31*z^2)/a^2 - 12*z^4 + 
   (7*z^4)/a^6 - (34*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 + z^6/a^6 - 
   (14*z^6)/a^4 + (25*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4900] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4901] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4902] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 20*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (23*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 4903] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^12 + 
   z^2/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 - z^4/a^12 + (5*z^4)/a^10 - z^4/a^8 + 
   (7*z^4)/a^6 + (2*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 4904] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   6*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4905] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4906] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 4907] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 4908] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 + 4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4909] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (6*z^2)/a^12 + (16*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 4910] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^6 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 
   3*z^6 - z^6/a^2, Knot[14, NonAlternating, 4911] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 4912] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 - (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 4913] -> 
  -2 + 7*a^2 - 9*a^4 + 9*a^6 - 4*a^8 - 3*z^2 + 14*a^2*z^2 - 18*a^4*z^2 + 
   17*a^6*z^2 - 4*a^8*z^2 - z^4 + 9*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 4914] -> 2/a^10 - 7/a^8 + 10/a^6 - 8/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4915] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 4916] -> 
  2/a^14 - 9/a^12 + 12/a^10 - 8/a^8 + 4/a^6 + z^2/a^14 - (16*z^2)/a^12 + 
   (34*z^2)/a^10 - (24*z^2)/a^8 + (14*z^2)/a^6 - (8*z^4)/a^12 + 
   (36*z^4)/a^10 - (32*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 4917] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 
   (7*z^4)/a^8 + (27*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 4918] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 4919] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 4920] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 + (5*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 4921] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 4922] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 4923] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 6*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (15*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4924] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 4*z^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4925] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 4926] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + (4*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 4927] -> -a^(-12) + 3/a^10 - 2/a^8 - 
   3/a^6 + 4/a^4 + (4*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 4928] -> 
  a^(-12) - 6/a^10 + 6/a^8 - z^2/a^12 - (5*z^2)/a^10 + (13*z^2)/a^8 + 
   (2*z^2)/a^4 + z^4/a^10 + (7*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 4929] -> 8 - 3/a^2 - 5*a^2 + a^4 + 15*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 12*z^4 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 4930] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 
   2*a^2 - 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4931] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4932] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 
   4/a^2 - z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   z^4 - (4*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 4933] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 4934] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 4935] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 4936] -> 3/a^8 - 8/a^6 + 6/a^4 + 2*z^2 + 
   (3*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4937] -> 
  -3*a^2 + 8*a^4 - 3*a^6 - a^8 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 11*a^4*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 + z^6, 
 Knot[14, NonAlternating, 4938] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 5*z^2 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4939] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 5*z^2 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4940] -> -1 - a^(-4) + 3/a^2 - 3*a^2 + 5*a^4 - 
   2*a^6 - z^2/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   9*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 4941] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 4942] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 
   5*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 4943] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 4*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 + 
   z^4/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4944] -> -3 + a^(-8) - 4/a^6 + 5/a^4 + 2*a^2 - 
   5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 4945] -> 
  6 - a^(-8) + 3/a^6 - 2/a^4 - 3/a^2 - 2*a^2 + 11*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 4946] -> -a^(-6) + 2/a^4 - a^2 + a^4 + 
   z^2/a^4 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 4947] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 + 2*a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 4948] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - (5*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 4949] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 4950] -> -3 + a^(-8) - 5/a^6 + 7/a^4 - a^(-2) + 
   2*a^2 - 7*z^2 + z^2/a^8 - (7*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 4951] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (31*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4952] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4953] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 26*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 15*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 4954] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + (23*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (23*z^4)/a^8 + (33*z^4)/a^6 - (10*z^4)/a^4 - 
   (9*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4955] -> 
  3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (8*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 4956] -> 
  -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 5/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 4957] -> -a^(-8) + 2/a^4 - z^2/a^12 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 - (3*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 4958] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 4959] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 
   4*z^2 + z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 4960] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - (7*z^4)/a^8 + (6*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 4961] -> 
  3 - a^(-10) + 2/a^8 + a^(-6) - 2/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 - (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, NonAlternating, 4962] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 
   2/a^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 4963] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 4964] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 + z^2 + a^2*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4965] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 4966] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + 
   a^(-4) + z^2/a^12 - (11*z^2)/a^10 + (17*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^10 + (15*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 4967] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 
   2/a^4 - (5*z^2)/a^12 + (11*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (9*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 4968] -> 
  -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 4969] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 4970] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 4971] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 
   12*z^2 + z^2/a^4 - (8*z^2)/a^2 - 2*a^4*z^2 + 8*z^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 4972] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + z^2/a^16 - (11*z^2)/a^14 + 
   (6*z^2)/a^12 + (8*z^2)/a^10 + (9*z^2)/a^8 - (6*z^4)/a^14 + (8*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 4973] -> 2 - a^(-2) - 3*a^2 + 7*a^4 - 4*a^6 + 
   6*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 + 7*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 12*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 4974] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (9*z^2)/a^10 + 
   (10*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 4975] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 4976] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 4977] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 - (4*z^2)/a^14 - (2*z^2)/a^12 + (8*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 4978] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - 
   z^2/a^4 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 4979] -> 
  a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 + z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 4980] -> 
  3 - a^(-2) - a^2 + 3*z^2 - 3*a^2*z^2 + a^6*z^2 + z^4/a^2 - 4*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 4981] -> 1 - z^2/a^6 + (2*z^2)/a^2 - a^2*z^2 + 
   z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 4982] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 28*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   21*a^2*z^2 - 5*a^4*z^2 - 38*z^4 - z^4/a^4 + (17*z^4)/a^2 + 25*a^2*z^4 - 
   4*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 8*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 4983] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (15*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^12 + 
   (14*z^4)/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + (4*z^6)/a^10 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 4984] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 15*a^2*z^2 - 12*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4985] -> 2 + a^(-4) - 2/a^2 - z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 4986] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 4987] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 10*z^2 - z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 4988] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - 
   a^(-6) + 2/a^4 - (4*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^10 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 4989] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   3*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 4990] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 4991] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 4992] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (31*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 4993] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 4994] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 26*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 15*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 4995] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + (23*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (23*z^4)/a^8 + (33*z^4)/a^6 - (10*z^4)/a^4 - 
   (9*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 4996] -> 
  -a^(-8) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 - (3*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 4997] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 4998] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 4999] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5000] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (24*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5001] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 - 
   3*z^2 - z^2/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (8*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5002] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 - (3*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 5003] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 5004] -> a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 
   4/a^8 + z^2/a^16 - (7*z^2)/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 + 
   (12*z^2)/a^8 - (5*z^4)/a^14 + (4*z^4)/a^12 + (14*z^4)/a^10 + 
   (13*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5005] -> 
  5 - 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 9*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   11*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - z^4/a^2 - 8*a^2*z^4 + 10*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 5006] -> a^(-12) - 3/a^10 + 4/a^8 - 5/a^6 + 4/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (9*z^2)/a^8 - (11*z^2)/a^6 + (8*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 + (6*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 - 
   z^6/a^10 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 5007] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5008] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 2*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 2*z^4 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5009] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 
   5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   5*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5010] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 - 34*z^4 - 
   z^4/a^4 + (16*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 24*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5011] -> 2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (18*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^4)/a^12 + (16*z^4)/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + (4*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 5012] -> 
  -1 + 3*a^2 - 4*a^4 + 7*a^6 - 4*a^8 - 4*z^2 + 12*a^2*z^2 - 11*a^4*z^2 + 
   14*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5013] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 5014] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 + (2*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 5015] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 5016] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5017] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^4 + 
   z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5018] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5019] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (24*z^4)/a^4 + (8*z^4)/a^2 + (8*z^6)/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5020] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 5021] -> 
  2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (10*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 - (3*z^4)/a^12 + (10*z^4)/a^10 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 5022] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   (7*z^2)/a^10 - (20*z^2)/a^8 + (17*z^2)/a^6 + (11*z^4)/a^10 - 
   (30*z^4)/a^8 + (17*z^4)/a^6 + (6*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 5023] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 
   10*a^4*z^2 + 30*a^6*z^2 - 7*a^8*z^2 - 3*a^10*z^2 - 12*a^4*z^4 + 
   39*a^6*z^4 - 8*a^8*z^4 - a^10*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 5*a^8*z^6 - 
   a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 5024] -> a^(-16) - 8/a^12 + 8/a^10 + (3*z^2)/a^16 - 
   (7*z^2)/a^14 - (19*z^2)/a^12 + (35*z^2)/a^10 + z^4/a^16 - (8*z^4)/a^14 - 
   (14*z^4)/a^12 + (53*z^4)/a^10 - (2*z^6)/a^14 - (3*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 5025] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (12*z^2)/a^8 + (25*z^2)/a^6 - (7*z^2)/a^4 - (12*z^4)/a^8 + (35*z^4)/a^6 - 
   (11*z^4)/a^4 - (6*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 5026] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 21*z^2 - z^2/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 
   33*z^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 5027] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 5028] -> -a^2 + a^4 + 4*a^6 - 2*a^8 - 
   a^10 - 3*a^2*z^2 + 4*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 5029] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (3*z^2)/a^14 - 
   (10*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 - (2*z^4)/a^14 - 
   (5*z^4)/a^12 + (17*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 5030] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (5*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5031] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   9*z^2 + (4*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 5032] -> -3*a^6 + 11*a^8 - 7*a^10 - 
   10*a^6*z^2 + 43*a^8*z^2 - 20*a^10*z^2 - 12*a^6*z^4 + 55*a^8*z^4 - 
   18*a^10*z^4 - 6*a^6*z^6 + 32*a^8*z^6 - 7*a^10*z^6 - a^6*z^8 + 9*a^8*z^8 - 
   a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 5033] -> 
  3/a^12 - 10/a^10 + 8/a^8 + (10*z^2)/a^12 - (33*z^2)/a^10 + (30*z^2)/a^8 + 
   (12*z^4)/a^12 - (40*z^4)/a^10 + (33*z^4)/a^8 + (6*z^6)/a^12 - 
   (25*z^6)/a^10 + (14*z^6)/a^8 + z^8/a^12 - (8*z^8)/a^10 + (2*z^8)/a^8 - 
   z^10/a^10, Knot[14, NonAlternating, 5034] -> 
  -5*a^2 + 12*a^4 - 5*a^6 - a^8 - 20*a^2*z^2 + 45*a^4*z^2 - 12*a^6*z^2 - 
   4*a^8*z^2 - 21*a^2*z^4 + 59*a^4*z^4 - 9*a^6*z^4 - 4*a^8*z^4 - 8*a^2*z^6 + 
   36*a^4*z^6 - 2*a^6*z^6 - a^8*z^6 - a^2*z^8 + 10*a^4*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 5035] -> -a^4 + a^6 + 6*a^8 - 5*a^10 - 3*a^4*z^2 + 
   8*a^6*z^2 + 16*a^8*z^2 - 9*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 + 
   15*a^8*z^4 - 5*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 5036] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (5*z^2)/a^12 - (13*z^2)/a^10 + 
   (5*z^2)/a^8 + (9*z^2)/a^6 + (4*z^4)/a^12 - (11*z^4)/a^10 + (8*z^4)/a^6 + 
   z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 5037] -> -1 - a^2 + 7*a^4 - 3*a^6 - a^8 - 6*z^2 + 
   3*a^2*z^2 + 19*a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 
   19*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + 8*a^4*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 5038] -> -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 
   5*a^4*z^2 + 16*a^6*z^2 + 6*a^8*z^2 - 6*a^10*z^2 - 4*a^4*z^4 + 15*a^6*z^4 + 
   9*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 5039] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (12*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 5040] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 7*z^2 + 10*a^2*z^2 + 8*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 12*a^2*z^4 + 11*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 + 6*a^4*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 5041] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 
   5*z^2 - z^2/a^6 + (11*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 + 
   (6*z^4)/a^4 - (13*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 5042] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 5043] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   18*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (5*z^4)/a^4 + 
   (17*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 5044] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 
   20*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 18*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - z^6 + 7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5045] -> -2*a^6 + 9*a^8 - 6*a^10 - a^6*z^2 + 
   24*a^8*z^2 - 11*a^10*z^2 + 22*a^8*z^4 - 6*a^10*z^4 + 8*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 5046] -> 
  -a^4 + 2*a^6 + 4*a^8 - 4*a^10 + 7*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + 
   5*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 5047] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - a^4*z^2 + 
   11*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 5048] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (7*z^2)/a^10 - (16*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^2)/a^4 + (7*z^4)/a^10 - (18*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 5049] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 
   2*a^2*z^2 - 2*a^4*z^2 + 22*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 21*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 5050] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (3*z^2)/a^14 - (15*z^2)/a^12 + 
   (23*z^2)/a^10 + (6*z^2)/a^8 - (2*z^4)/a^14 - (8*z^4)/a^12 + 
   (27*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5051] -> 
  2/a^12 - 8/a^10 + 7/a^8 + z^2/a^12 - (12*z^2)/a^10 + (19*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^10 + (16*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 5052] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (15*z^2)/a^8 + (32*z^2)/a^6 - (26*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (40*z^4)/a^6 - (29*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 5053] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 24*a^2*z^2 - 32*a^4*z^2 + 
   19*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 26*a^2*z^4 - 42*a^4*z^4 + 18*a^6*z^4 - 
   a^8*z^4 - z^6 + 12*a^2*z^6 - 26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 5054] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (24*z^2)/a^10 - (30*z^2)/a^8 + (19*z^2)/a^6 - (4*z^4)/a^12 + 
   (26*z^4)/a^10 - (41*z^4)/a^8 + (20*z^4)/a^6 + (10*z^6)/a^10 - 
   (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 5055] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   22*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (31*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5056] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 5057] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - z^4 + 7*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5058] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   32*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 37*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 16*a^2*z^4 - a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5059] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (37*z^4)/a^4 + (12*z^4)/a^2 + (9*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5060] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 - (3*z^2)/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 5061] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5062] -> 
  -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 7*a^4*z^2 + 20*a^6*z^2 + 4*a^8*z^2 - 
   6*a^10*z^2 - 7*a^4*z^4 + 23*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 
   11*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 5063] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5064] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 7*z^2 + 
   12*a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 - 5*z^4 + 15*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5065] -> 4/a^6 - 9/a^4 + 6/a^2 - 4*z^2 + 
   (6*z^2)/a^6 - (20*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 5066] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 20*z^2 + 
   (7*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5067] -> -4 - a^(-8) + 9/a^6 - 20/a^4 + 17/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (21*z^2)/a^6 - (49*z^2)/a^4 + (37*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (18*z^4)/a^6 - (50*z^4)/a^4 + (32*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (27*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5068] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   z^2/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 5069] -> 
  -6 + 19*a^2 - 18*a^4 + 7*a^6 - a^8 - 11*z^2 + 42*a^2*z^2 - 44*a^4*z^2 + 
   18*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 36*a^2*z^4 - 46*a^4*z^4 + 17*a^6*z^4 - 
   a^8*z^4 - z^6 + 14*a^2*z^6 - 26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 5070] -> 
  a^(-10) - 7/a^8 + 17/a^6 - 18/a^4 + 8/a^2 + (2*z^2)/a^10 - (18*z^2)/a^8 + 
   (44*z^2)/a^6 - (41*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (17*z^4)/a^8 + 
   (46*z^4)/a^6 - (36*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (26*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5071] -> 4 + a^(-10) - 5/a^8 + 8/a^6 - 2/a^4 - 
   5/a^2 + 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5072] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 + z^2/a^16 - (6*z^2)/a^14 - (6*z^2)/a^12 + (16*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^4)/a^14 - z^4/a^12 + (27*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5073] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - z^4/a^2 + 8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 5074] -> 
  a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - (4*z^2)/a^10 + z^2/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 - z^6/a^10 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 5075] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (11*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 5076] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   9*z^2 - z^2/a^6 + (4*z^2)/a^4 + 4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5077] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - (3*z^2)/a^12 + (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^10 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[14, NonAlternating, 5078] -> -a^2 + 2*a^4 + 3*a^8 - 3*a^10 - 
   2*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 5079] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 + (2*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 5080] -> 2 - a^(-2) - 2*a^2 + 4*a^4 - a^6 - a^8 + 
   4*z^2 - (3*z^2)/a^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 + z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 5081] -> -1 - a^(-8) + 2/a^6 + a^(-4) - 2/a^2 + 
   2*a^2 - 4*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 5082] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 - z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 5083] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 
   4*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 5084] -> 
  -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 + 4*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 
   a^10*z^2 + a^4*z^4 + a^6*z^4 + a^8*z^4, Knot[14, NonAlternating, 5085] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 5086] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - z^2 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - z^4 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 5087] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5088] -> 2/a^10 - 7/a^8 + 6/a^6 + (7*z^2)/a^10 - 
   (16*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (7*z^4)/a^10 - (18*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 5089] -> 
  -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 2*a^2*z^2 - 2*a^4*z^2 + 22*a^6*z^2 - 
   7*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 21*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 5090] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (3*z^2)/a^14 - (15*z^2)/a^12 + (23*z^2)/a^10 + (6*z^2)/a^8 - 
   (2*z^4)/a^14 - (8*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 5091] -> -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 
   25*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + (40*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (18*z^4)/a^4 + (44*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5092] -> -14 - a^(-4) + 7/a^2 + 13*a^2 - 4*a^4 - 
   40*z^2 - (3*z^2)/a^4 + (21*z^2)/a^2 + 26*a^2*z^2 - 4*a^4*z^2 - 46*z^4 - 
   (3*z^4)/a^4 + (23*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 27*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5093] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (34*z^2)/a^6 - (34*z^2)/a^4 + (13*z^2)/a^2 - 
   (4*z^4)/a^8 + (29*z^4)/a^6 - (45*z^4)/a^4 + (15*z^4)/a^2 + (10*z^6)/a^6 - 
   (29*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5094] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 
   10*a^4*z^2 + 32*a^6*z^2 - 11*a^8*z^2 - 2*a^10*z^2 - 8*a^4*z^4 + 
   29*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 12*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + 2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 5095] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + (9*z^2)/a^10 - (24*z^2)/a^8 + 
   (18*z^2)/a^6 + (2*z^4)/a^12 + (3*z^4)/a^10 - (21*z^4)/a^8 + (13*z^4)/a^6 + 
   z^6/a^12 - (2*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 5096] -> 
  -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 8*z^2 + 22*a^2*z^2 - 13*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5097] -> 2 - a^(-2) + 4*a^2 - 9*a^4 + 7*a^6 - 
   2*a^8 + 4*z^2 - z^2/a^2 + 5*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - a^2*z^6 - 3*a^4*z^6, 
 Knot[14, NonAlternating, 5098] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 
   3*z^2 + 11*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 
   5*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 5099] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (9*z^2)/a^4 - 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 5100] -> 
  -8 - a^(-6) + a^(-4) + 4/a^2 + 7*a^2 - 2*a^4 - 14*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 5101] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (9*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 + (5*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 5102] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 31*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 5103] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 21*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5104] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 
   7*z^2 - z^2/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (32*z^4)/a^2 - 6*z^6 - (9*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5105] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 5106] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5107] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) - 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^2 - 4*z^4 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5108] -> 
  3 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^4 - 4/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + (2*z^6)/a^4, Knot[14, NonAlternating, 5109] -> 
  -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 14*z^2 + (2*z^2)/a^2 + 28*a^2*z^2 - 
   17*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + z^4/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 5110] -> -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 - 
   z^2/a^12 + (13*z^2)/a^10 - (30*z^2)/a^8 + (20*z^2)/a^6 + (9*z^4)/a^10 - 
   (27*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 5111] -> 
  -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 10*a^4*z^2 + 35*a^6*z^2 - 18*a^8*z^2 + 
   a^10*z^2 - 8*a^4*z^4 + 32*a^6*z^4 - 10*a^8*z^4 - 2*a^4*z^6 + 13*a^6*z^6 - 
   2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 5112] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (26*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 5113] -> 
  -8 + a^(-6) - 7/a^4 + 13/a^2 + 2*a^2 - 19*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 5114] -> 
  -a^(-16) + 7/a^14 - 15/a^12 + 9/a^10 + a^(-8) + (7*z^2)/a^14 - 
   (32*z^2)/a^12 + (30*z^2)/a^10 + (5*z^2)/a^8 + z^4/a^14 - (21*z^4)/a^12 + 
   (36*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5115] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 10*z^2 + 30*a^2*z^2 - 20*a^4*z^2 + 
   4*a^6*z^2 - 6*z^4 + 25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   9*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5116] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (19*z^2)/a^4 + (31*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (28*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 5117] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 11*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + 
   (31*z^2)/a^2 - 8*z^4 + z^4/a^6 - (13*z^4)/a^4 + (28*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 5118] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 
   2/a^6 + 2/a^4 - (6*z^2)/a^12 + (19*z^2)/a^10 - (18*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (18*z^4)/a^8 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 5119] -> 
  -a^(-14) + 5/a^12 - 11/a^10 + 8/a^8 + (2*z^2)/a^12 - (14*z^2)/a^10 + 
   (19*z^2)/a^8 + z^2/a^6 - z^4/a^12 - (3*z^4)/a^10 + (15*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 5120] -> a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 - 
   z^2/a^8 - (7*z^2)/a^6 + (21*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4, 
 Knot[14, NonAlternating, 5121] -> 1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 + 
   2*z^2 + z^2/a^8 - (11*z^2)/a^6 + (22*z^2)/a^4 - (11*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (16*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 5122] -> 
  12 - 4/a^2 - 10*a^2 + 3*a^4 + 19*z^2 - (5*z^2)/a^2 - 18*a^2*z^2 + 
   5*a^4*z^2 + 13*z^4 - (3*z^4)/a^2 - 12*a^2*z^4 + 2*a^4*z^4 + 5*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 5123] -> 
  -8 - a^(-6) + a^(-4) + 4/a^2 + 7*a^2 - 2*a^4 - 16*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 4*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5124] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (11*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5125] -> -a^(-10) + 7/a^8 - 13/a^6 + 8/a^4 - 
   z^2/a^10 + (10*z^2)/a^8 - (22*z^2)/a^6 + (13*z^2)/a^4 - z^2/a^2 + 
   (4*z^4)/a^8 - (15*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 5126] -> 
  12 + 3/a^4 - 10/a^2 - 4*a^2 + 19*z^2 + (5*z^2)/a^4 - (18*z^2)/a^2 - 
   5*a^2*z^2 + 13*z^4 + (2*z^4)/a^4 - (12*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 5127] -> 
  12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 18*z^2 + (3*z^2)/a^4 - (14*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 5128] -> 
  -4*a^2 + 12*a^4 - 8*a^6 + a^8 - 7*a^2*z^2 + 21*a^4*z^2 - 7*a^6*z^2 - 
   a^8*z^2 - 3*a^2*z^4 + 13*a^4*z^4 - a^8*z^4 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 5129] -> -a^2 - a^4 + 11*a^6 - 10*a^8 + 2*a^10 - 
   3*a^2*z^2 - a^4*z^2 + 27*a^6*z^2 - 16*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 25*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 5130] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (9*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (11*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5131] -> 2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 
   2*a^4 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 5132] -> 
  2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (8*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 5133] -> 2 - a^(-2) + a^2 - a^4 + 
   3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 5134] -> 
  -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 5*a^2*z^2 + 8*a^4*z^2 + 13*a^6*z^2 - 
   8*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 18*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 5135] -> -12 - a^(-4) + 7/a^2 + 9*a^2 - 2*a^4 - 
   29*z^2 - z^2/a^4 + (13*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 5136] -> a^(-10) - 4/a^8 + 9/a^6 - 
   11/a^4 + 6/a^2 + z^2/a^10 - (6*z^2)/a^8 + (19*z^2)/a^6 - (27*z^2)/a^4 + 
   (11*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 5137] -> -3 + 10*a^2 - 10*a^4 + 6*a^6 - 2*a^8 - 
   7*z^2 + 24*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   21*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 5138] -> 
  -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 5139] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 6*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (23*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5140] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - (6*z^2)/a^12 + (19*z^2)/a^10 - 
   (23*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - (22*z^4)/a^8 + 
   (13*z^4)/a^6 + (3*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5141] -> -11 - 3/a^4 + 10/a^2 + 6*a^2 - a^4 - 
   28*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 11*a^2*z^2 - 28*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 5142] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 
   8*a^4*z^2 + 24*a^6*z^2 - a^8*z^2 - 5*a^10*z^2 - 7*a^4*z^4 + 24*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 5143] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 
   5*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 5144] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 + 
   z^2/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (15*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 + 
   (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 5145] -> 
  -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - 7*z^2 + 15*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 15*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5146] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (5*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 5147] -> 
  -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 5148] -> 3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 
   6*z^2 - z^2/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 7*a^2*z^4 + 
   4*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 5149] -> 
  2 + 2/a^8 - 5/a^6 + 5/a^4 - 3/a^2 + 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (9*z^2)/a^4 - (7*z^2)/a^2 - (4*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 5150] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (8*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 5151] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 
   z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 5152] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 5153] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5154] -> -3*a^4 + 10*a^6 - 6*a^8 - 5*a^4*z^2 + 
   21*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + 3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 5155] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 5156] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + 
   4*z^2 - 10*a^2*z^2 + 12*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 8*a^2*z^4 + 
   4*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 5157] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 5158] -> 
  3/a^8 - 8/a^6 + 6/a^4 + z^2/a^10 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (10*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6, Knot[14, NonAlternating, 5159] -> 
  8 - 3/a^2 - 5*a^2 + a^4 + 14*z^2 - (4*z^2)/a^2 - 10*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 8*z^4 - z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 5160] -> 
  2 - 2/a^6 + 6/a^4 - 5/a^2 - a^2 + a^4 + 3*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (12*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 5161] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 5162] -> 
  2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) - (7*z^2)/a^10 + (14*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (8*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5163] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (9*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 + (5*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 5164] -> 
  -a^(-12) + 7/a^10 - 15/a^8 + 11/a^6 - a^(-4) - z^2/a^12 + (12*z^2)/a^10 - 
   (35*z^2)/a^8 + (34*z^2)/a^6 - (7*z^2)/a^4 + (7*z^4)/a^10 - (33*z^4)/a^8 + 
   (41*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^10 - (14*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5165] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (33*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (40*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5166] -> 2/a^10 - 9/a^8 + 12/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - (14*z^2)/a^4 + 
   (4*z^2)/a^2 - (4*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5167] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 5168] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 8*z^2 + 19*a^2*z^2 - 7*a^4*z^2 - 
   (2*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 5169] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5170] -> -4 + 14*a^2 - 13*a^4 + 4*a^6 - 8*z^2 + 
   32*a^2*z^2 - 35*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 5*z^4 + 30*a^2*z^4 - 
   41*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 25*a^4*z^6 + 
   7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 5171] -> -a^(-12) + 6/a^10 - 10/a^8 + 4/a^6 + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 5172] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 5173] -> 
  -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - z^2 + 4*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 5174] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (2*z^2)/a^14 - (6*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + (9*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 5175] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 + (4*z^4)/a^8 + 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5176] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5177] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + 
   2*z^2 - z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 9*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 5178] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (7*z^4)/a^10 - (6*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 5179] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 5180] -> -5 + a^(-8) - 4/a^6 + 3/a^4 + 
   4/a^2 + 2*a^2 - 12*z^2 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5181] -> 
  -5 - a^(-4) + 5/a^2 - a^2 + 5*a^4 - 2*a^6 - 12*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 5182] -> 
  a^(-12) - 4/a^10 + 4/a^8 + 2/a^6 - 6/a^4 + 4/a^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 - (15*z^2)/a^4 + (9*z^2)/a^2 + (8*z^4)/a^8 - (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 5183] -> 
  -2*a^2 + 5*a^4 - a^6 - a^10 - 4*a^2*z^2 + 10*a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 5184] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^12 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 5185] -> 5 - 2/a^2 - 3*a^2 + a^4 + a^6 - a^8 + 
   8*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   5*z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6, 
 Knot[14, NonAlternating, 5186] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 5187] -> 
  5 - a^(-8) + 3/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 10*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 5188] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (9*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 
   (5*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 5189] -> 
  -1 - a^(-4) + 3/a^2 - 3*a^2 + 5*a^4 - 2*a^6 - 2*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 5190] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (33*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (40*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5191] -> 2/a^10 - 9/a^8 + 12/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - (14*z^2)/a^4 + 
   (4*z^2)/a^2 - (4*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5192] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 5193] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 8*z^2 + 19*a^2*z^2 - 7*a^4*z^2 - 
   (2*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 5194] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5195] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5196] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^4 + 
   z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5197] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5198] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (24*z^4)/a^4 + (8*z^4)/a^2 + (8*z^6)/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5199] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 5200] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (17*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (18*z^4)/a^8 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 5201] -> 
  -a^2 + 8*a^6 - 7*a^8 + a^10 - 3*a^2*z^2 + a^4*z^2 + 21*a^6*z^2 - 
   11*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 21*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 5202] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   z^2/a^16 - (18*z^2)/a^12 + (19*z^2)/a^10 + (8*z^2)/a^8 - (2*z^4)/a^14 - 
   (10*z^4)/a^12 + (25*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5203] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (6*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 - (5*z^4)/a^14 - z^4/a^12 + 
   (27*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 5204] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 5205] -> a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + 
   z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 5206] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 
   2*a^4 + 7*z^2 - (2*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 5207] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 
   2*a^2 - 2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 5208] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 
   2*a^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5209] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   4*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 5210] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 6*z^2 + (3*z^2)/a^6 - (9*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 5211] -> 2/a^10 - 5/a^8 + 2/a^6 + 
   2/a^4 + (5*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (6*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5212] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 3*a^2*z^2 + 
   3*a^4*z^2 + 15*a^6*z^2 - 6*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   17*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 5213] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^16 - z^2/a^14 - (13*z^2)/a^12 + 
   (13*z^2)/a^10 + (10*z^2)/a^8 - (2*z^4)/a^14 - (8*z^4)/a^12 + 
   (21*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5214] -> 
  -2 + 4/a^6 - 11/a^4 + 10/a^2 - 5*z^2 - z^2/a^8 + (13*z^2)/a^6 - 
   (32*z^2)/a^4 + (24*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (36*z^4)/a^4 + (23*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (21*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5215] -> -7 + a^(-2) + 13*a^2 - 6*a^4 - 19*z^2 + 
   (3*z^2)/a^2 + 35*a^2*z^2 - 16*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (3*z^4)/a^2 + 
   38*a^2*z^4 - 15*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 22*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 5216] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (24*z^2)/a^8 + (35*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^4)/a^10 - (22*z^4)/a^8 + (40*z^4)/a^6 - (11*z^4)/a^4 - (9*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5217] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (24*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (31*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5218] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 
   16*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + 
   (3*z^4)/a^2 + 33*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   21*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 5219] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (21*z^2)/a^8 + (27*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (35*z^4)/a^6 - (10*z^4)/a^4 - (9*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5220] -> a^(-16) - 3/a^14 + a^(-12) + a^(-10) - 
   a^(-8) + 2/a^6 - (4*z^2)/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (6*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 5221] -> -a^(-4) + 2/a^2 - 2*a^2 + 
   4*a^4 - 2*a^6 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - z^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 5222] -> a^(-12) - 3/a^10 + 3/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + z^2/a^12 - (3*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^10 + z^4/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5223] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5224] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   21*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5225] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 
   7*z^2 - z^2/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (32*z^4)/a^2 - 6*z^6 - (9*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5226] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5227] -> a^(-10) - 5/a^8 + 9/a^6 - 
   8/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + 
   (6*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 5228] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 
   5*z^2 + 16*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   27*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 5229] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (25*z^4)/a^6 - (8*z^4)/a^4 - (9*z^6)/a^8 + (21*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5230] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + 
   (5*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 5231] -> -1 + 5*a^2 - 8*a^4 + 9*a^6 - 
   4*a^8 - 2*z^2 + 15*a^2*z^2 - 25*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   12*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 5232] -> 
  -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 11*a^4*z^2 + 37*a^6*z^2 - 18*a^8*z^2 + 
   a^10*z^2 - 9*a^4*z^4 + 35*a^6*z^4 - 11*a^8*z^4 - 2*a^4*z^6 + 14*a^6*z^6 - 
   2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 5233] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (14*z^2)/a^10 - 
   (31*z^2)/a^8 + (21*z^2)/a^6 + (10*z^4)/a^10 - (30*z^4)/a^8 + 
   (15*z^4)/a^6 + (2*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5234] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (27*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 5235] -> -7 - a^(-4) + 3/a^2 + 11*a^2 - 5*a^4 - 
   19*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5236] -> 
  -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 10*z^2 + 29*a^2*z^2 - 20*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 6*z^4 + 26*a^2*z^4 - 18*a^4*z^4 + 5*a^6*z^4 - z^6 + 
   9*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5237] -> 4/a^14 - 13/a^12 + 10/a^10 + 
   (5*z^2)/a^14 - (31*z^2)/a^12 + (34*z^2)/a^10 + (3*z^2)/a^8 + z^4/a^14 - 
   (21*z^4)/a^12 + (40*z^4)/a^10 + (7*z^4)/a^8 - (4*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 5238] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 5239] -> 4 - a^(-6) + 3/a^4 - 3/a^2 - 4*a^2 + 
   2*a^4 + 9*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, 
 Knot[14, NonAlternating, 5240] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 3*a^2*z^2 + 
   6*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 + 7*a^6*z^4 - 
   2*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 5241] -> 
  4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 - (11*z^2)/a^2 - (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 5242] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^4 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 5243] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 5244] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 - 
   z^2/a^6 + z^2/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 5245] -> -a^(-2) + 5*a^2 - 3*a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 5246] -> 2 - 2/a^6 + 6/a^4 - 5/a^2 - a^2 + a^4 + 
   4*z^2 - z^2/a^6 + (8*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 5247] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + 
   z^2/a^14 - (10*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - 
   (4*z^4)/a^12 + (8*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 5248] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + z^2 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 - z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 5249] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + (3*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4 - 
   (3*z^4)/a^6 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 5250] -> -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 
   14*z^2 + (2*z^2)/a^2 + 28*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + 
   z^4/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 5251] -> 
  -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 10*a^4*z^2 + 35*a^6*z^2 - 18*a^8*z^2 + 
   a^10*z^2 - 8*a^4*z^4 + 32*a^6*z^4 - 10*a^8*z^4 - 2*a^4*z^6 + 13*a^6*z^6 - 
   2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 5252] -> 
  -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 - z^2/a^12 + (13*z^2)/a^10 - 
   (30*z^2)/a^8 + (20*z^2)/a^6 + (9*z^4)/a^10 - (27*z^4)/a^8 + (14*z^4)/a^6 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5253] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 5254] -> -8 + a^(-6) - 7/a^4 + 13/a^2 + 2*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5255] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 10*z^2 + 30*a^2*z^2 - 20*a^4*z^2 + 
   4*a^6*z^2 - 6*z^4 + 25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   9*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5256] -> -a^(-16) + 7/a^14 - 15/a^12 + 9/a^10 + 
   a^(-8) + (7*z^2)/a^14 - (32*z^2)/a^12 + (30*z^2)/a^10 + (5*z^2)/a^8 + 
   z^4/a^14 - (21*z^4)/a^12 + (36*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 5257] -> -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 
   7*a^4*z^2 + 20*a^6*z^2 + 4*a^8*z^2 - 6*a^10*z^2 - 7*a^4*z^4 + 23*a^6*z^4 + 
   6*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 5258] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (14*z^2)/a^6 + (3*z^4)/a^12 - (3*z^4)/a^10 - (14*z^4)/a^8 + 
   (12*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 5259] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 7*z^2 + 12*a^2*z^2 + 4*a^4*z^2 - 
   2*a^8*z^2 - 5*z^4 + 15*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 + a^4*z^6 + a^6*z^6 + a^2*z^8, Knot[14, NonAlternating, 5260] -> 
  -3*a^4 + 9*a^6 - 4*a^8 - a^10 - a^2*z^2 - 2*a^4*z^2 + 18*a^6*z^2 - 
   3*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 5261] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 5262] -> -3 + 7*a^2 - 3*a^4 + a^6 - 
   a^8 - 2*z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 + 9*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 5263] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 5264] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 3*a^4*z^2 + 19*a^6*z^2 - 7*a^8*z^2 - a^4*z^4 + 
   11*a^6*z^4 - 2*a^8*z^4 + 2*a^6*z^6, Knot[14, NonAlternating, 5265] -> 
  3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + (2*z^2)/a^14 - (16*z^2)/a^12 + 
   (16*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (6*z^4)/a^12 + (14*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 5266] -> 2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 
   2/a^6 + z^2/a^14 - (9*z^2)/a^12 + (10*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 - 
   (3*z^4)/a^12 + (10*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 5267] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 12*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (23*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5268] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - 
   z^2/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5269] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (29*z^4)/a^4 + (10*z^4)/a^2 + (9*z^6)/a^6 - 
   (22*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5270] -> 2/a^10 - 10/a^8 + 14/a^6 - 7/a^4 + 2/a^2 + 
   z^2/a^10 - (15*z^2)/a^8 + (35*z^2)/a^6 - (23*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^8 + (32*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 5271] -> 
  -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (24*z^2)/a^4 + (21*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 5272] -> 
  -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5273] -> 1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - 
   a^(-2) + (4*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - z^4 - 
   (6*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 5274] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 5275] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5276] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) - 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^2 - 4*z^4 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5277] -> 
  3 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^4 - 4/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + (2*z^6)/a^4, Knot[14, NonAlternating, 5278] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 5279] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 4*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 5280] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 + (4*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 - (7*z^4)/a^8 + (6*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5281] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5282] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 4*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 5283] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + 
   (19*z^2)/a^2 - 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (20*z^4)/a^4 + 
   (16*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 5284] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5285] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 5286] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 5287] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (20*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (19*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5288] -> 
  -2*a^4 + 5*a^6 + a^8 - 3*a^10 - 2*a^4*z^2 + 13*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - a^4*z^4 + 9*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 5289] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 5290] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 11*a^2*z^4 + 3*a^4*z^4 + 
   z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 5291] -> 
  -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5292] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 - z^4/a^6 + 
   (8*z^4)/a^4 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 5293] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 + 
   7*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 5294] -> 
  4 + 2/a^6 - a^(-4) - 4/a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 
   z^4/a^4 - (2*z^4)/a^2, Knot[14, NonAlternating, 5295] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5296] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   2*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 5297] -> -3 - 2/a^6 + 5/a^4 - a^(-2) + a^2 + a^4 - 
   5*z^2 + (5*z^2)/a^4 - (4*z^2)/a^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^2 - 
   a^2*z^4, Knot[14, NonAlternating, 5298] -> -4 - a^(-4) + 5/a^2 - a^2 + 
   2*a^4 - 3*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 5299] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 + a^2*z^2 + 
   8*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 2*a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 5300] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 5301] -> 
  -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - z^2 + 4*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 5302] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (2*z^2)/a^14 - (6*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + (9*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 5303] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   4*z^2 + 19*a^2*z^2 - 25*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   15*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 5304] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (25*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 5305] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 21*z^4 - z^4/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 5306] -> 2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5307] -> 2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 + 6*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - z^4/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5308] -> a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + 
   a^(-6) + 2/a^4 - (4*z^2)/a^12 + (12*z^2)/a^10 - (10*z^2)/a^8 + 
   (6*z^2)/a^4 + (8*z^4)/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5309] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 - a^2*z^2 - 
   2*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   12*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 5310] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 5311] -> -3 + 7*a^2 - 3*a^4 + a^6 - 
   a^8 - 2*z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 + 9*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 5312] -> -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 
   30*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (36*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (15*z^4)/a^4 + (36*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5313] -> a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 
   8/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (35*z^2)/a^6 - (37*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (30*z^4)/a^6 - (30*z^4)/a^4 + 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, NonAlternating, 5314] -> 
  -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 41*z^2 - (4*z^2)/a^4 + 
   (25*z^2)/a^2 + 25*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   2*z^8 + a^2*z^8, Knot[14, NonAlternating, 5315] -> 
  -3 + 13*a^2 - 16*a^4 + 9*a^6 - 2*a^8 - 5*z^2 + 25*a^2*z^2 - 35*a^4*z^2 + 
   19*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 17*a^2*z^4 - 30*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 5316] -> -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 
   28*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (32*z^2)/a^2 + 8*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5317] -> 
  -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 34*z^2 - (5*z^2)/a^4 + 
   (22*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5318] -> 
  a^(-10) - 6/a^8 + 14/a^6 - 15/a^4 + 7/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (32*z^2)/a^6 - (30*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (27*z^4)/a^6 - (21*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 5319] -> 
  2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (34*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (28*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 5320] -> 
  -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 22*z^2 + (4*z^2)/a^2 + 38*a^2*z^2 - 
   20*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (2*z^4)/a^2 + 31*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 4*z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 5321] -> -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (33*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (25*z^4)/a^4 + (23*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 5322] -> -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 
   23*z^2 + (5*z^2)/a^2 + 37*a^2*z^2 - 19*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + 
   (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5323] -> 
  -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (34*z^2)/a^4 + (29*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 5324] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (32*z^2)/a^8 + (36*z^2)/a^6 - (8*z^2)/a^4 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (31*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 5325] -> 
  -3*a^4 + 9*a^6 - 4*a^8 - a^10 - 8*a^4*z^2 + 24*a^6*z^2 - a^8*z^2 - 
   5*a^10*z^2 - 7*a^4*z^4 + 24*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 - 2*a^4*z^6 + 
   11*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 5326] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 + 
   z^2/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (15*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 + 
   (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 5327] -> 
  -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - 7*z^2 + 15*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 15*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5328] -> 2/a^10 - 11/a^8 + 18/a^6 - 12/a^4 + 
   4/a^2 + z^2/a^10 - (16*z^2)/a^8 + (43*z^2)/a^6 - (36*z^2)/a^4 + 
   (12*z^2)/a^2 - (7*z^4)/a^8 + (37*z^4)/a^6 - (43*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^8 + (14*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 5329] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 9/a^6 + z^2/a^14 - (10*z^2)/a^12 + 
   (32*z^2)/a^10 - (42*z^2)/a^8 + (23*z^2)/a^6 - (4*z^4)/a^12 + 
   (28*z^4)/a^10 - (47*z^4)/a^8 + (21*z^4)/a^6 + (10*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 5330] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 
   8*z^2 + 34*a^2*z^2 - 42*a^4*z^2 + 21*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   31*a^2*z^4 - 45*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 5331] -> -a^(-12) + 7/a^10 - 18/a^8 + 17/a^6 - 
   4/a^4 - z^2/a^12 + (11*z^2)/a^10 - (38*z^2)/a^8 + (46*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^4)/a^10 - (32*z^4)/a^8 + (49*z^4)/a^6 - (13*z^4)/a^4 + 
   z^6/a^10 - (13*z^6)/a^8 + (27*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 5332] -> 
  -a^(-12) + 7/a^10 - 18/a^8 + 17/a^6 - 4/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (37*z^2)/a^8 + (47*z^2)/a^6 - (13*z^2)/a^4 + (4*z^4)/a^10 - (29*z^4)/a^8 + 
   (52*z^4)/a^6 - (15*z^4)/a^4 - (10*z^6)/a^8 + (30*z^6)/a^6 - (7*z^6)/a^4 - 
   z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5333] -> -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 
   28*z^2 + (5*z^2)/a^2 + 48*a^2*z^2 - 24*a^4*z^2 + 3*a^6*z^2 - 27*z^4 + 
   (4*z^4)/a^2 + 49*a^2*z^4 - 19*a^4*z^4 + a^6*z^4 - 12*z^6 + z^6/a^2 + 
   27*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 5334] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5335] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   29*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5336] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (34*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5337] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 - (30*z^2)/a^8 + (20*z^2)/a^6 - z^4/a^12 + 
   (16*z^4)/a^10 - (36*z^4)/a^8 + (18*z^4)/a^6 + (7*z^6)/a^10 - 
   (24*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 5338] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 
   12*a^4*z^2 + 38*a^6*z^2 - 17*a^8*z^2 - 13*a^4*z^4 + 44*a^6*z^4 - 
   14*a^8*z^4 - 6*a^4*z^6 + 26*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 5339] -> 
  4/a^14 - 13/a^12 + 10/a^10 + (2*z^2)/a^16 - (30*z^2)/a^12 + (39*z^2)/a^10 + 
   z^4/a^16 - (5*z^4)/a^14 - (22*z^4)/a^12 + (55*z^4)/a^10 - (2*z^6)/a^14 - 
   (5*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 5340] -> -a^(-12) + 5/a^10 - 11/a^8 + 9/a^6 - 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (23*z^2)/a^8 + (29*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^4)/a^10 - (20*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - 
   (8*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 5341] -> 
  -10 - 3/a^4 + 10/a^2 + 4*a^2 - 32*z^2 - (2*z^2)/a^4 + (20*z^2)/a^2 + 
   13*a^2*z^2 - 41*z^4 + (16*z^4)/a^2 + 14*a^2*z^4 - 26*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5342] -> a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^10 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 5343] -> -2*a^2 + 5*a^4 - a^6 - a^10 - 
   5*a^2*z^2 + 12*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - a^10*z^2 - 4*a^2*z^4 + 
   11*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 5344] -> 
  a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (3*z^2)/a^12 + (2*z^2)/a^10 + (14*z^2)/a^8 - (2*z^4)/a^14 - (2*z^4)/a^12 + 
   (9*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 5345] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 
   4*a^2 - 19*z^2 + z^2/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 
   11*z^4 - (6*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5346] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 5347] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 
   7*a^2*z^2 - 16*a^4*z^2 + 18*a^6*z^2 - 4*a^8*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5348] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 5349] -> 
  -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 45*z^2 - (4*z^2)/a^4 + 
   (27*z^2)/a^2 + 27*a^2*z^2 - 5*a^4*z^2 - 48*z^4 - z^4/a^4 + (20*z^4)/a^2 + 
   27*a^2*z^4 - 4*a^4*z^4 - 27*z^6 + (7*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 5350] -> 
  2/a^10 - 10/a^8 + 17/a^6 - 13/a^4 + 5/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (39*z^2)/a^6 - (40*z^2)/a^4 + (15*z^2)/a^2 - (4*z^4)/a^8 + (31*z^4)/a^6 - 
   (49*z^4)/a^4 + (16*z^4)/a^2 + (10*z^6)/a^6 - (30*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5351] -> -4 - 2/a^8 + 8/a^6 - 15/a^4 + 14/a^2 - 
   8*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (31*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (23*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 5352] -> a^(-14) - 6/a^12 + 13/a^10 - 15/a^8 + 
   8/a^6 + z^2/a^14 - (10*z^2)/a^12 + (27*z^2)/a^10 - (31*z^2)/a^8 + 
   (18*z^2)/a^6 - (4*z^4)/a^12 + (20*z^4)/a^10 - (26*z^4)/a^8 + 
   (13*z^4)/a^6 + (5*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5353] -> -11 + 2/a^6 - 10/a^4 + 17/a^2 + 3*a^2 - 
   24*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (36*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 5354] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 19*a^2*z^2 - 25*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 5355] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 5356] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5357] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 5358] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 9*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5359] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5360] -> -a^2 + 8*a^6 - 7*a^8 + a^10 - 3*a^2*z^2 + 
   2*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - a^10*z^4 + 2*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 5361] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 + (7*z^2)/a^10 - (14*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - 
   z^6/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 5362] -> 
  -a^(-2) + 6*a^2 - 6*a^4 + 3*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 5363] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (12*z^2)/a^10 - (25*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 + 
   (9*z^4)/a^10 - (23*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5364] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - a^2*z^2 - 
   7*a^4*z^2 + 31*a^6*z^2 - 14*a^8*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 27*a^6*z^4 - 
   8*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 5365] -> 
  4/a^14 - 13/a^12 + 10/a^10 + z^2/a^16 + z^2/a^14 - (25*z^2)/a^12 + 
   (30*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^14 - (13*z^4)/a^12 + 
   (33*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^12 + (15*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5366] -> 
  2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (37*z^2)/a^6 - (27*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (17*z^4)/a^8 + 
   (41*z^4)/a^6 - (29*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5367] -> -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 
   5*z^2 + 25*a^2*z^2 - 36*a^4*z^2 + 24*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   26*a^2*z^4 - 43*a^4*z^4 + 19*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 5368] -> 2/a^14 - 8/a^12 + 12/a^10 - 11/a^8 + 
   6/a^6 + z^2/a^14 - (12*z^2)/a^12 + (30*z^2)/a^10 - (32*z^2)/a^8 + 
   (19*z^2)/a^6 - (4*z^4)/a^12 + (28*z^4)/a^10 - (41*z^4)/a^8 + 
   (20*z^4)/a^6 + (10*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 5369] -> 
  2 + a^(-10) - 4/a^8 + 4/a^6 + a^(-4) - 3/a^2 + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5370] -> 3 - a^(-2) - a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 
   7*z^2 - (2*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 5371] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - (4*z^2)/a^12 + (9*z^2)/a^10 - 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (8*z^4)/a^10 - (8*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 5372] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) - z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5373] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 + 7*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 5374] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 5375] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 - (6*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 5376] -> 
  -10 - a^(-6) + a^(-4) + 5/a^2 + 8*a^2 - 2*a^4 - 23*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 5377] -> a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + 
   a^(-6) + 2/a^4 - (5*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (7*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 5378] -> 
  1 - a^(-2) + 5*a^2 - 8*a^4 + 6*a^6 - 2*a^8 + 2*z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 5379] -> -a^2 - a^4 + 11*a^6 - 10*a^8 + 2*a^10 - 
   3*a^2*z^2 - a^4*z^2 + 27*a^6*z^2 - 16*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 25*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 5380] -> 
  -10 - a^(-6) + a^(-4) + 5/a^2 + 8*a^2 - 2*a^4 - 23*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 5381] -> a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + 
   a^(-6) + 2/a^4 - (5*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (7*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 5382] -> 
  1 - a^(-2) + 5*a^2 - 8*a^4 + 6*a^6 - 2*a^8 + 2*z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 5383] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 10*z^2 + 
   z^2/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 5384] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 3*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (22*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 5385] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5386] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 4*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - z^4 + 10*a^2*z^4 - 
   3*a^4*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 5387] -> 
  -8 - 2/a^6 + 5/a^4 + 8*a^2 - 2*a^4 - 14*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (6*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 5388] -> 
  a^(-12) - 4/a^10 + 3/a^8 + 5/a^6 - 9/a^4 + 5/a^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 + (2*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 + (8*z^4)/a^8 - 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 5389] -> 5 - 2/a^8 + 6/a^6 - 6/a^4 - 2*a^2 + 
   8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - 3*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5390] -> a^(-14) - 5/a^12 + 7/a^10 - 2/a^8 - 
   4/a^6 + 4/a^4 - (4*z^2)/a^12 + (11*z^2)/a^10 - (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 + (5*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 5391] -> 
  -7 + a^(-8) - 4/a^6 + 3/a^4 + 5/a^2 + 3*a^2 - 10*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5392] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   21*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 5393] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (21*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 5394] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (20*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (19*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5395] -> 
  -1 - a^(-4) + 3/a^2 - 3*a^2 + 5*a^4 - 2*a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 3*z^4 - 9*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 5396] -> 
  4 - a^(-8) + 3/a^6 - 5/a^2 + 4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (9*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 5397] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 5398] -> 
  -3 + a^(-8) - 4/a^6 + 5/a^4 + 2*a^2 - 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5399] -> 6 - a^(-8) + 3/a^6 - 2/a^4 - 3/a^2 - 
   2*a^2 + 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5400] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 5401] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 + 2*a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 5402] -> 
  -2 - a^(-8) + 8/a^6 - 16/a^4 + 12/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (19*z^2)/a^6 - (41*z^2)/a^4 + (27*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (17*z^4)/a^6 - (45*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5403] -> 
  -8 + a^(-2) + 17*a^2 - 11*a^4 + 2*a^6 - 22*z^2 + (3*z^2)/a^2 + 43*a^2*z^2 - 
   23*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (3*z^4)/a^2 + 47*a^2*z^4 - 19*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 27*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 5404] -> 
  -a^(-12) + 6/a^10 - 15/a^8 + 14/a^6 - 3/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (32*z^2)/a^8 + (41*z^2)/a^6 - (11*z^2)/a^4 + (4*z^4)/a^10 - (27*z^4)/a^8 + 
   (48*z^4)/a^6 - (14*z^4)/a^4 - (10*z^6)/a^8 + (29*z^6)/a^6 - (7*z^6)/a^4 - 
   z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5405] -> -1 + 5*a^2 - 8*a^4 + 9*a^6 - 4*a^8 - 
   2*z^2 + 15*a^2*z^2 - 25*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   12*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 5406] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (27*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 5407] -> 
  -7 - a^(-4) + 3/a^2 + 11*a^2 - 5*a^4 - 19*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 5408] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   3*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 5409] -> 4 - a^(-6) + 3/a^4 - 3/a^2 - 4*a^2 + 
   2*a^4 + 9*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, 
 Knot[14, NonAlternating, 5410] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 5411] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 - z^2/a^6 + z^2/a^4 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 5412] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + z^2 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 - z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 5413] -> -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 
   5*a^2*z^2 + 8*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   18*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 5414] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (9*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (11*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5415] -> 2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 
   2*a^4 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 5416] -> 
  2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (8*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 5417] -> -10 - 3/a^4 + 10/a^2 + 4*a^2 - 
   23*z^2 - (11*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (9*z^4)/a^4 + 
   (30*z^4)/a^2 + a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 5418] -> -11 - 2/a^4 + 9/a^2 + 5*a^2 - 30*z^2 - 
   (3*z^2)/a^4 + (18*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 5419] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (20*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 5420] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5421] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 4*a^2 - 
   9*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5422] -> 3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 
   4*z^2 + z^2/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 - 
   z^6/a^2, Knot[14, NonAlternating, 5423] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 
   5*z^2 - z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5424] -> 3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 7*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 5425] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 5426] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5427] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (2*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 5428] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5429] -> 
  -2/a^6 + 3/a^4 + z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + z^4/a^8 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 5430] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5431] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5432] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 3*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 5433] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (6*z^4)/a^4 - (9*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 5434] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   6*z^2 + (3*z^2)/a^6 - (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5435] -> -3 + a^(-8) - 5/a^6 + 7/a^4 - a^(-2) + 
   2*a^2 - 7*z^2 + z^2/a^8 - (7*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 5436] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 10*z^2 + z^2/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 + z^4/a^2 + 24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 5437] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 3*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (22*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 5438] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5439] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - 
   10*a^4*z^2 + 32*a^6*z^2 - 11*a^8*z^2 - 2*a^10*z^2 - 8*a^4*z^4 + 
   29*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 12*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + 2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 5440] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + (9*z^2)/a^10 - (24*z^2)/a^8 + 
   (18*z^2)/a^6 + (2*z^4)/a^12 + (3*z^4)/a^10 - (21*z^4)/a^8 + (13*z^4)/a^6 + 
   z^6/a^12 - (2*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 5441] -> 
  -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 8*z^2 + 22*a^2*z^2 - 13*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5442] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 5443] -> 
  2 - 2/a^6 + 6/a^4 - 5/a^2 - a^2 + a^4 + 3*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (12*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 5444] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (17*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (18*z^4)/a^8 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 5445] -> 
  -a^2 + 8*a^6 - 7*a^8 + a^10 - 3*a^2*z^2 + a^4*z^2 + 21*a^6*z^2 - 
   11*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 21*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 5446] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   z^2/a^16 - (18*z^2)/a^12 + (19*z^2)/a^10 + (8*z^2)/a^8 - (2*z^4)/a^14 - 
   (10*z^4)/a^12 + (25*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5447] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 5*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 - 
   2*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - a^10*z^4 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 5448] -> 3/a^8 - 8/a^6 + 6/a^4 + z^2/a^10 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (10*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^6 + 
   (4*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 5449] -> 
  8 - 3/a^2 - 5*a^2 + a^4 + 14*z^2 - (4*z^2)/a^2 - 10*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 8*z^4 - z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 5450] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5451] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 
   z^2/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5452] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 
   4/a^2 + z^2/a^10 - (12*z^2)/a^8 + (32*z^2)/a^6 - (27*z^2)/a^4 + 
   (9*z^2)/a^2 - (7*z^4)/a^8 + (30*z^4)/a^6 - (32*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 5453] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 2*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (28*z^2)/a^4 + (16*z^2)/a^2 - z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (26*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 5454] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 23*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (22*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 5455] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (26*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5456] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 - 
   (5*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 5457] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + 16*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 5458] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (12*z^2)/a^6 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (25*z^4)/a^6 - (8*z^4)/a^4 - (9*z^6)/a^8 + 
   (21*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5459] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + 
   (5*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 5460] -> -2*a^2 + 5*a^4 - a^6 - a^10 - 
   4*a^2*z^2 + 10*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 5461] -> a^(-8) - 4/a^6 + 4/a^4 + 
   z^2/a^12 - (6*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 5462] -> 5 - 2/a^2 - 3*a^2 + a^4 + a^6 - a^8 + 
   8*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   5*z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6, 
 Knot[14, NonAlternating, 5463] -> -11 + 4/a^2 + 12*a^2 - 4*a^4 - 24*z^2 + 
   (8*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5464] -> -3 + 9*a^2 - 7*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 5465] -> 2 - a^(-2) + 4*a^2 - 9*a^4 + 
   7*a^6 - 2*a^8 + 4*z^2 - z^2/a^2 + 5*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - a^2*z^6 - 3*a^4*z^6, 
 Knot[14, NonAlternating, 5466] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (9*z^2)/a^4 - 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 5467] -> 
  -8 - a^(-6) + a^(-4) + 4/a^2 + 7*a^2 - 2*a^4 - 14*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 5468] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (12*z^2)/a^10 - (25*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 + 
   (9*z^4)/a^10 - (23*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5469] -> -4*a^4 + 13*a^6 - 9*a^8 + a^10 - a^2*z^2 - 
   7*a^4*z^2 + 31*a^6*z^2 - 14*a^8*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 27*a^6*z^4 - 
   8*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 5470] -> 
  4/a^14 - 13/a^12 + 10/a^10 + z^2/a^16 + z^2/a^14 - (25*z^2)/a^12 + 
   (30*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^14 - (13*z^4)/a^12 + 
   (33*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^12 + (15*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 5471] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) - z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5472] -> 
  -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 28*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 31*z^4 - z^4/a^4 + (14*z^4)/a^2 + 
   27*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 5473] -> 
  2/a^14 - 8/a^12 + 10/a^10 - 7/a^8 + 4/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (23*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 5474] -> 
  -2 + 7*a^2 - 9*a^4 + 9*a^6 - 4*a^8 - 5*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 
   17*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5475] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 
   28*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5476] -> 2/a^14 - 8/a^12 + 10/a^10 - 7/a^8 + 
   4/a^6 + z^2/a^14 - (12*z^2)/a^12 + (23*z^2)/a^10 - (16*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^12 + (19*z^4)/a^10 - (16*z^4)/a^8 + 
   (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5477] -> -2 + 7*a^2 - 9*a^4 + 9*a^6 - 4*a^8 - 
   5*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5478] -> -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (37*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (14*z^4)/a^6 - (37*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (21*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5479] -> -4 - a^(-8) + 8/a^6 - 18/a^4 + 
   16/a^2 - 8*z^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - (40*z^2)/a^4 + 
   (33*z^2)/a^2 - 5*z^4 - z^4/a^8 + (12*z^4)/a^6 - (34*z^4)/a^4 + 
   (26*z^4)/a^2 - z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 - 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 5480] -> 
  -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 29*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (41*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 5481] -> -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 - 
   2*a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 5482] -> 3 - a^(-2) - 4*a^2 + 6*a^4 - 
   3*a^6 + 6*z^2 - z^2/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 
   7*a^2*z^4 + 4*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 5483] -> 
  2 + 2/a^8 - 5/a^6 + 5/a^4 - 3/a^2 + 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (9*z^2)/a^4 - (7*z^2)/a^2 - (4*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 5484] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (8*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 5485] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 
   z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 5486] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 5487] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (7*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5488] -> -a^(-4) + 2/a^2 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5489] -> -1 + 2*a^2 + a^6 - a^10 - 2*z^2 + 
   4*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 5490] -> a^(-16) - 2/a^14 - a^(-12) + 2/a^10 - 
   a^(-8) + 2/a^6 - (2*z^2)/a^14 - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (5*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + 
   z^6/a^10 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 5491] -> 
  -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 5*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 5492] -> 5 - 2/a^8 + 7/a^6 - 8/a^4 + 
   a^(-2) - 2*a^2 + 9*z^2 - z^2/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 7*z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 5493] -> a^(-14) - 5/a^12 + 8/a^10 - 4/a^8 - 
   3/a^6 + 4/a^4 - (4*z^2)/a^12 + (14*z^2)/a^10 - (10*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 + (8*z^4)/a^10 - (11*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 5494] -> a^(-8) - 8/a^6 + 12/a^4 - 
   4/a^2 - z^2/a^8 - (7*z^2)/a^6 + (21*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4, 
 Knot[14, NonAlternating, 5495] -> -a^(-14) + 5/a^12 - 11/a^10 + 8/a^8 + 
   (2*z^2)/a^12 - (14*z^2)/a^10 + (19*z^2)/a^8 + z^2/a^6 - z^4/a^12 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 5496] -> 12 - 4/a^2 - 10*a^2 + 3*a^4 + 
   19*z^2 - (5*z^2)/a^2 - 18*a^2*z^2 + 5*a^4*z^2 + 13*z^4 - (3*z^4)/a^2 - 
   12*a^2*z^4 + 2*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5497] -> 1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 + 
   2*z^2 + z^2/a^8 - (11*z^2)/a^6 + (22*z^2)/a^4 - (11*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (16*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 5498] -> 
  -6 - 2/a^6 + 5/a^4 - a^(-2) + 7*a^2 - 2*a^4 - 8*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 5499] -> a^(-12) - 4/a^10 + 3/a^8 + 4/a^6 - 7/a^4 + 
   4/a^2 - (4*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 + (6*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 5500] -> 
  4 + a^(-10) - 5/a^8 + 8/a^6 - 2/a^4 - 5/a^2 + 4*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - (11*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5501] -> -a^(-10) + 7/a^8 - 13/a^6 + 8/a^4 - 
   z^2/a^10 + (10*z^2)/a^8 - (22*z^2)/a^6 + (13*z^2)/a^4 - z^2/a^2 + 
   (4*z^4)/a^8 - (15*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 5502] -> 
  12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 18*z^2 + (3*z^2)/a^4 - (14*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 5503] -> 
  -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 41*z^2 - (4*z^2)/a^4 + 
   (25*z^2)/a^2 + 25*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   2*z^8 + a^2*z^8, Knot[14, NonAlternating, 5504] -> 
  -16 - a^(-4) + 8/a^2 + 14*a^2 - 4*a^4 - 38*z^2 - (2*z^2)/a^4 + 
   (18*z^2)/a^2 + 25*a^2*z^2 - 4*a^4*z^2 - 33*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 5505] -> a^(-10) - 5/a^8 + 13/a^6 - 16/a^4 + 
   8/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (28*z^2)/a^6 - (34*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (21*z^4)/a^6 - (27*z^4)/a^4 + 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 5506] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 12*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (23*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5507] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - 
   z^2/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5508] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (29*z^4)/a^4 + (10*z^4)/a^2 + (9*z^6)/a^6 - 
   (22*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5509] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (37*z^2)/a^6 - (27*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (17*z^4)/a^8 + (41*z^4)/a^6 - (29*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 5510] -> 
  -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 5*z^2 + 25*a^2*z^2 - 36*a^4*z^2 + 
   24*a^6*z^2 - 4*a^8*z^2 - 4*z^4 + 26*a^2*z^4 - 43*a^4*z^4 + 19*a^6*z^4 - 
   a^8*z^4 - z^6 + 12*a^2*z^6 - 26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 5511] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 11/a^8 + 6/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (30*z^2)/a^10 - (32*z^2)/a^8 + (19*z^2)/a^6 - (4*z^4)/a^12 + 
   (28*z^4)/a^10 - (41*z^4)/a^8 + (20*z^4)/a^6 + (10*z^6)/a^10 - 
   (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 5512] -> a^(-14) - 7/a^12 + 15/a^10 - 16/a^8 + 
   8/a^6 + z^2/a^14 - (13*z^2)/a^12 + (36*z^2)/a^10 - (38*z^2)/a^8 + 
   (20*z^2)/a^6 - (7*z^4)/a^12 + (34*z^4)/a^10 - (41*z^4)/a^8 + 
   (18*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - (25*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 5513] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5514] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   19*z^2 + z^2/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (6*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 5515] -> -11 + 4/a^2 + 12*a^2 - 4*a^4 - 
   24*z^2 + (8*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + (5*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5516] -> -16 - 3/a^4 + 11/a^2 + 13*a^2 - 4*a^4 - 
   41*z^2 - (4*z^2)/a^4 + (23*z^2)/a^2 + 32*a^2*z^2 - 8*a^4*z^2 - 44*z^4 - 
   z^4/a^4 + (19*z^4)/a^2 + 31*a^2*z^4 - 5*a^4*z^4 - 26*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5517] -> 2/a^14 - 9/a^12 + 15/a^10 - 14/a^8 + 
   7/a^6 + z^2/a^14 - (13*z^2)/a^12 + (35*z^2)/a^10 - (38*z^2)/a^8 + 
   (21*z^2)/a^6 - (4*z^4)/a^12 + (30*z^4)/a^10 - (45*z^4)/a^8 + 
   (21*z^4)/a^6 + (10*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 5518] -> 
  -14 - 3/a^4 + 10/a^2 + 12*a^2 - 4*a^4 - 30*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 5519] -> 2/a^14 - 9/a^12 + 14/a^10 - 
   12/a^8 + 6/a^6 + z^2/a^14 - (13*z^2)/a^12 + (30*z^2)/a^10 - (27*z^2)/a^8 + 
   (16*z^2)/a^6 - (4*z^4)/a^12 + (22*z^4)/a^10 - (24*z^4)/a^8 + 
   (13*z^4)/a^6 + (5*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5520] -> -3 + 11*a^2 - 14*a^4 + 11*a^6 - 4*a^8 - 
   7*z^2 + 26*a^2*z^2 - 30*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5521] -> 2/a^10 - 9/a^8 + 15/a^6 - 12/a^4 + 5/a^2 + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (34*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (29*z^4)/a^6 - (18*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 5522] -> -3 + 12*a^2 - 16*a^4 + 12*a^6 - 4*a^8 - 
   7*z^2 + 31*a^2*z^2 - 41*a^4*z^2 + 25*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + 
   30*a^2*z^4 - 45*a^4*z^4 + 19*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 5523] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 5524] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 
   2/a^4 - (4*z^2)/a^12 + (11*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + (8*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5525] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 5526] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - 
   a^(-6) + 2/a^4 - (4*z^2)/a^12 + (8*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 5527] -> 
  2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   2*a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 5528] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 5529] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 + 6*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - z^4/a^2 - 2*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5530] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 
   z^2/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5531] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5532] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   29*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5533] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (34*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5534] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 
   3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 5535] -> 
  2 - a^(-2) + 4*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + 
   a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 5536] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + 3/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - 
   (15*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + (10*z^4)/a^10 - (14*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 5537] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - (6*z^2)/a^12 + 
   (19*z^2)/a^10 - (18*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + 
   (14*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5538] -> -8 - a^(-6) + a^(-4) + 4/a^2 + 7*a^2 - 
   2*a^4 - 16*z^2 - z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + (3*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 4*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 5539] -> 
  2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5540] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 6/a^4 + 
   3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 5541] -> 
  3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5542] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5543] -> 2 - a^(-2) + 4*a^2 - 9*a^4 + 7*a^6 - 
   2*a^8 + 5*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5544] -> a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + 
   3/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - (15*z^2)/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 + (10*z^4)/a^10 - (14*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5545] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5546] -> -2/a^6 + 3/a^4 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 + z^4/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 5547] -> -2 + 10*a^2 - 15*a^4 + 12*a^6 - 4*a^8 - 
   3*z^2 + 21*a^2*z^2 - 35*a^4*z^2 + 24*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   14*a^2*z^4 - 32*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 5548] -> 
  2/a^10 - 8/a^8 + 14/a^6 - 13/a^4 + 6/a^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (29*z^2)/a^6 - (30*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (21*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - (2*z^6)/a^8 + (7*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 5549] -> -15 - 3/a^4 + 11/a^2 + 11*a^2 - 3*a^4 - 
   35*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 5550] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 6*z^2 - z^2/a^2 - 3*a^2*z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 5551] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 5552] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - 
   a^4 - 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5553] -> -9 + 2/a^6 - 10/a^4 + 16/a^2 + 2*a^2 - 
   25*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + (40*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (18*z^4)/a^4 + (44*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5554] -> -14 - a^(-4) + 7/a^2 + 13*a^2 - 4*a^4 - 
   40*z^2 - (3*z^2)/a^4 + (21*z^2)/a^2 + 26*a^2*z^2 - 4*a^4*z^2 - 46*z^4 - 
   (3*z^4)/a^4 + (23*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 27*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5555] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (34*z^2)/a^6 - (34*z^2)/a^4 + (13*z^2)/a^2 - 
   (4*z^4)/a^8 + (29*z^4)/a^6 - (45*z^4)/a^4 + (15*z^4)/a^2 + (10*z^6)/a^6 - 
   (29*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5556] -> -3 + 13*a^2 - 16*a^4 + 9*a^6 - 2*a^8 - 
   5*z^2 + 25*a^2*z^2 - 35*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   17*a^2*z^4 - 30*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 5557] -> 
  -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 34*z^2 - (5*z^2)/a^4 + 
   (22*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5558] -> 
  -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 28*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (32*z^2)/a^2 + 8*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5559] -> 
  a^(-10) - 6/a^8 + 14/a^6 - 15/a^4 + 7/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (32*z^2)/a^6 - (30*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (27*z^4)/a^6 - (21*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 5560] -> 
  -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 34*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 22*a^2*z^2 - 5*a^4*z^2 - 27*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 5561] -> -3 - 2/a^8 + 9/a^6 - 16/a^4 + 
   13/a^2 - 5*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (35*z^2)/a^4 + 
   (25*z^2)/a^2 - 2*z^4 - z^4/a^8 + (13*z^4)/a^6 - (30*z^4)/a^4 + 
   (17*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 5562] -> 2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 
   4/a^2 + z^2/a^10 - (13*z^2)/a^8 + (34*z^2)/a^6 - (29*z^2)/a^4 + 
   (10*z^2)/a^2 - (4*z^4)/a^8 + (23*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 5563] -> -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 
   22*z^2 + (4*z^2)/a^2 + 38*a^2*z^2 - 20*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + 
   (2*z^4)/a^2 + 31*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 4*z^6 + 12*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 5564] -> 
  -10 + 2/a^2 + 18*a^2 - 11*a^4 + 2*a^6 - 23*z^2 + (5*z^2)/a^2 + 37*a^2*z^2 - 
   19*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 5565] -> -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (33*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (25*z^4)/a^4 + (23*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 5566] -> -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (34*z^2)/a^4 + (29*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 5567] -> -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 
   23*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (37*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5568] -> 
  -10 + 2/a^6 - 11/a^4 + 18/a^2 + 2*a^2 - 22*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (38*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (31*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 5569] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (32*z^2)/a^8 + (36*z^2)/a^6 - (8*z^2)/a^4 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (31*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 5570] -> 
  2/a^14 - 10/a^12 + 16/a^10 - 13/a^8 + 6/a^6 + z^2/a^14 - (17*z^2)/a^12 + 
   (40*z^2)/a^10 - (33*z^2)/a^8 + (17*z^2)/a^6 - (8*z^4)/a^12 + 
   (38*z^4)/a^10 - (37*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - 
   (24*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 5571] -> -4 - 2/a^8 + 9/a^6 - 17/a^4 + 
   15/a^2 - 8*z^2 - (3*z^2)/a^8 + (21*z^2)/a^6 - (42*z^2)/a^4 + 
   (34*z^2)/a^2 - 5*z^4 - z^4/a^8 + (18*z^4)/a^6 - (45*z^4)/a^4 + 
   (31*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 5572] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 9/a^6 + z^2/a^14 - (10*z^2)/a^12 + 
   (32*z^2)/a^10 - (42*z^2)/a^8 + (23*z^2)/a^6 - (4*z^4)/a^12 + 
   (28*z^4)/a^10 - (47*z^4)/a^8 + (21*z^4)/a^6 + (10*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 5573] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 
   8*z^2 + 34*a^2*z^2 - 42*a^4*z^2 + 21*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   31*a^2*z^4 - 45*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 5574] -> a^(-14) - 5/a^12 + 6/a^10 - 2/a^8 - 
   a^(-6) + 2/a^4 - (6*z^2)/a^12 + (13*z^2)/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 5575] -> 
  -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 45*z^2 - (4*z^2)/a^4 + 
   (27*z^2)/a^2 + 27*a^2*z^2 - 5*a^4*z^2 - 48*z^4 - z^4/a^4 + (20*z^4)/a^2 + 
   27*a^2*z^4 - 4*a^4*z^4 - 27*z^6 + (7*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 5576] -> 
  -4 - 2/a^8 + 8/a^6 - 15/a^4 + 14/a^2 - 8*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (31*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (24*z^4)/a^4 + (23*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (8*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5577] -> 
  2/a^10 - 10/a^8 + 17/a^6 - 13/a^4 + 5/a^2 + z^2/a^10 - (13*z^2)/a^8 + 
   (39*z^2)/a^6 - (40*z^2)/a^4 + (15*z^2)/a^2 - (4*z^4)/a^8 + (31*z^4)/a^6 - 
   (49*z^4)/a^4 + (16*z^4)/a^2 + (10*z^6)/a^6 - (30*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5578] -> a^(-14) - 6/a^12 + 13/a^10 - 15/a^8 + 
   8/a^6 + z^2/a^14 - (10*z^2)/a^12 + (27*z^2)/a^10 - (31*z^2)/a^8 + 
   (18*z^2)/a^6 - (4*z^4)/a^12 + (20*z^4)/a^10 - (26*z^4)/a^8 + 
   (13*z^4)/a^6 + (5*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5579] -> -4 + 14*a^2 - 15*a^4 + 8*a^6 - 2*a^8 - 
   8*z^2 + 29*a^2*z^2 - 31*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   23*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5580] -> -17 - 2/a^4 + 10/a^2 + 14*a^2 - 4*a^4 - 
   45*z^2 - (5*z^2)/a^4 + (27*z^2)/a^2 + 27*a^2*z^2 - 4*a^4*z^2 - 48*z^4 - 
   (4*z^4)/a^4 + (27*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 27*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5581] -> -11 + 2/a^6 - 10/a^4 + 17/a^2 + 3*a^2 - 
   24*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (36*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 5582] -> 
  -11 + 2/a^6 - 12/a^4 + 20/a^2 + 2*a^2 - 28*z^2 + (3*z^2)/a^6 - 
   (24*z^2)/a^4 + (48*z^2)/a^2 + 5*a^2*z^2 - 27*z^4 + z^4/a^6 - 
   (19*z^4)/a^4 + (49*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (27*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5583] -> -a^(-12) + 7/a^10 - 18/a^8 + 17/a^6 - 
   4/a^4 - z^2/a^12 + (10*z^2)/a^10 - (37*z^2)/a^8 + (47*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^4)/a^10 - (29*z^4)/a^8 + (52*z^4)/a^6 - (15*z^4)/a^4 - 
   (10*z^6)/a^8 + (30*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 5584] -> 
  -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 28*z^2 + (5*z^2)/a^2 + 48*a^2*z^2 - 
   24*a^4*z^2 + 3*a^6*z^2 - 27*z^4 + (4*z^4)/a^2 + 49*a^2*z^4 - 19*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + z^6/a^2 + 27*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 5585] -> 
  -8 - 2/a^6 + 5/a^4 + 8*a^2 - 2*a^4 - 14*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (6*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 5586] -> 
  5 - 2/a^8 + 6/a^6 - 6/a^4 - 2*a^2 + 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 
   z^6 - z^6/a^4, Knot[14, NonAlternating, 5587] -> 
  a^(-12) - 4/a^10 + 3/a^8 + 5/a^6 - 9/a^4 + 5/a^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 + (2*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 + (8*z^4)/a^8 - 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 5588] -> a^(-14) - 5/a^12 + 7/a^10 - 2/a^8 - 
   4/a^6 + 4/a^4 - (4*z^2)/a^12 + (11*z^2)/a^10 - (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 + (5*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 5589] -> 
  5 - 2/a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 8*z^2 - (3*z^2)/a^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 5590] -> -8 - 2/a^4 + 8/a^2 + 5*a^4 - 
   2*a^6 - 14*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 - 6*a^2*z^2 + 9*a^4*z^2 - 
   a^6*z^2 - 11*z^4 - z^4/a^4 + (9*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 5591] -> -7 + a^(-8) - 4/a^6 + 3/a^4 + 5/a^2 + 
   3*a^2 - 10*z^2 + z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 5592] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5593] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 5594] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 5595] -> -12 - a^(-4) + 7/a^2 + 9*a^2 - 2*a^4 - 
   29*z^2 - z^2/a^4 + (13*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 5596] -> a^(-10) - 4/a^8 + 9/a^6 - 
   11/a^4 + 6/a^2 + z^2/a^10 - (6*z^2)/a^8 + (19*z^2)/a^6 - (27*z^2)/a^4 + 
   (11*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 5597] -> -3 + 10*a^2 - 10*a^4 + 6*a^6 - 2*a^8 - 
   7*z^2 + 24*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   21*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 5598] -> 
  -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 5599] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 6*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (23*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5600] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - (6*z^2)/a^12 + (19*z^2)/a^10 - 
   (23*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - (22*z^4)/a^8 + 
   (13*z^4)/a^6 + (3*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5601] -> -11 - 3/a^4 + 10/a^2 + 6*a^2 - a^4 - 
   28*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 11*a^2*z^2 - 28*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 5602] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 
   4/a^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (32*z^2)/a^6 - (26*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + (40*z^4)/a^6 - (29*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5603] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   5*z^2 + 24*a^2*z^2 - 32*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   26*a^2*z^4 - 42*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 5604] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 
   6/a^6 + z^2/a^14 - (9*z^2)/a^12 + (24*z^2)/a^10 - (30*z^2)/a^8 + 
   (19*z^2)/a^6 - (4*z^4)/a^12 + (26*z^4)/a^10 - (41*z^4)/a^8 + 
   (20*z^4)/a^6 + (10*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 5605] -> 
  2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5606] -> 2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 + 6*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - z^4/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5607] -> a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + 
   a^(-6) + 2/a^4 - (4*z^2)/a^12 + (12*z^2)/a^10 - (10*z^2)/a^8 + 
   (6*z^2)/a^4 + (8*z^4)/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5608] -> a^(-14) - 6/a^12 + 10/a^10 - 7/a^8 + 
   a^(-6) + 2/a^4 - (7*z^2)/a^12 + (21*z^2)/a^10 - (16*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (15*z^4)/a^10 - (17*z^4)/a^8 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 5609] -> 
  -9 - a^(-6) + a^(-4) + 5/a^2 + 6*a^2 - a^4 - 18*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 4*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5610] -> 2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5611] -> -5 + a^(-8) - 4/a^6 + 3/a^4 + 4/a^2 + 
   2*a^2 - 12*z^2 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 5612] -> -5 - a^(-4) + 5/a^2 - a^2 + 5*a^4 - 
   2*a^6 - 12*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 - 6*a^2*z^2 + 9*a^4*z^2 - 
   a^6*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 5613] -> a^(-12) - 4/a^10 + 4/a^8 + 2/a^6 - 6/a^4 + 
   4/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (15*z^2)/a^4 + (9*z^2)/a^2 + 
   (8*z^4)/a^8 - (7*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 5614] -> 5 - 2/a^8 + 7/a^6 - 8/a^4 + a^(-2) - 
   2*a^2 + 9*z^2 - z^2/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 7*z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 5615] -> -6 - 2/a^6 + 5/a^4 - a^(-2) + 7*a^2 - 
   2*a^4 - 8*z^2 - z^2/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 - (2*z^6)/a^2 + a^2*z^6, Knot[14, NonAlternating, 5616] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 4/a^8 - 3/a^6 + 4/a^4 - (4*z^2)/a^12 + 
   (14*z^2)/a^10 - (10*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + (8*z^4)/a^10 - 
   (11*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5617] -> a^(-12) - 4/a^10 + 3/a^8 + 4/a^6 - 7/a^4 + 
   4/a^2 - (4*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 + (6*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 5618] -> 
  -6 - 2/a^4 + 7/a^2 - a^2 + 5*a^4 - 2*a^6 - 8*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 5619] -> 5 - 2/a^2 + a^2 - 8*a^4 + 7*a^6 - 2*a^8 + 
   9*z^2 - (3*z^2)/a^2 + a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 
   7*z^4 - z^4/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 5620] -> 
  4 + a^(-10) - 5/a^8 + 8/a^6 - 2/a^4 - 5/a^2 + 4*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - (11*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5621] -> -16 - a^(-4) + 8/a^2 + 14*a^2 - 4*a^4 - 
   38*z^2 - (2*z^2)/a^4 + (18*z^2)/a^2 + 25*a^2*z^2 - 4*a^4*z^2 - 33*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 5622] -> 
  a^(-10) - 5/a^8 + 13/a^6 - 16/a^4 + 8/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (28*z^2)/a^6 - (34*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (21*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 - (2*z^6)/a^8 + (7*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 5623] -> -16 - 4/a^4 + 14/a^2 + 8*a^2 - a^4 - 
   38*z^2 - (4*z^2)/a^4 + (25*z^2)/a^2 + 18*a^2*z^2 - 2*a^4*z^2 - 33*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 5624] -> 
  a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (32*z^2)/a^6 - (27*z^2)/a^4 + (9*z^2)/a^2 - (7*z^4)/a^8 + (30*z^4)/a^6 - 
   (32*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5625] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (28*z^2)/a^4 + (16*z^2)/a^2 - z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (26*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 5626] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   23*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5627] -> 
  2/a^10 - 10/a^8 + 14/a^6 - 7/a^4 + 2/a^2 + z^2/a^10 - (15*z^2)/a^8 + 
   (35*z^2)/a^6 - (23*z^2)/a^4 + (7*z^2)/a^2 - (7*z^4)/a^8 + (32*z^4)/a^6 - 
   (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5628] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (21*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 5629] -> -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5630] -> 
  -7*a^4 + 27*a^6 - 30*a^8 + 13*a^10 - 2*a^12 - 16*a^4*z^2 + 59*a^6*z^2 - 
   50*a^8*z^2 + 14*a^10*z^2 - a^12*z^2 - 12*a^4*z^4 + 49*a^6*z^4 - 
   29*a^8*z^4 + 4*a^10*z^4 - 3*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + 3*a^6*z^8, 
 Knot[14, NonAlternating, 5631] -> -19 + 4/a^2 + 32*a^2 - 20*a^4 + 4*a^6 - 
   38*z^2 + (8*z^2)/a^2 + 60*a^2*z^2 - 30*a^4*z^2 + 4*a^6*z^2 - 28*z^4 + 
   (5*z^4)/a^2 + 44*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 5632] -> -19 + 4/a^2 + 32*a^2 - 20*a^4 + 4*a^6 - 
   38*z^2 + (8*z^2)/a^2 + 60*a^2*z^2 - 30*a^4*z^2 + 4*a^6*z^2 - 28*z^4 + 
   (5*z^4)/a^2 + 44*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 5633] -> -8 - 2/a^8 + 13/a^6 - 29/a^4 + 27/a^2 - 
   12*z^2 - (3*z^2)/a^8 + (23*z^2)/a^6 - (54*z^2)/a^4 + (48*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (14*z^4)/a^6 - (40*z^4)/a^4 + (33*z^4)/a^2 - z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 5634] -> -19 + 4/a^2 + 32*a^2 - 20*a^4 + 4*a^6 - 
   38*z^2 + (8*z^2)/a^2 + 60*a^2*z^2 - 30*a^4*z^2 + 4*a^6*z^2 - 28*z^4 + 
   (5*z^4)/a^2 + 44*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 5635] -> -8 - 2/a^8 + 13/a^6 - 29/a^4 + 27/a^2 - 
   12*z^2 - (3*z^2)/a^8 + (23*z^2)/a^6 - (54*z^2)/a^4 + (48*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (14*z^4)/a^6 - (40*z^4)/a^4 + (33*z^4)/a^2 - z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 5636] -> a^(-14) - 8/a^12 + 24/a^10 - 31/a^8 + 
   15/a^6 + z^2/a^14 - (11*z^2)/a^12 + (41*z^2)/a^10 - (59*z^2)/a^8 + 
   (28*z^2)/a^6 - (4*z^4)/a^12 + (26*z^4)/a^10 - (46*z^4)/a^8 + 
   (18*z^4)/a^6 + (6*z^6)/a^10 - (18*z^6)/a^8 + (4*z^6)/a^6 - (3*z^8)/a^8, 
 Knot[14, NonAlternating, 5637] -> -19 + 4/a^6 - 20/a^4 + 32/a^2 + 4*a^2 - 
   38*z^2 + (4*z^2)/a^6 - (30*z^2)/a^4 + (60*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (44*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 5638] -> -2/a^12 + 13/a^10 - 30/a^8 + 27/a^6 - 
   7/a^4 - z^2/a^12 + (14*z^2)/a^10 - (50*z^2)/a^8 + (59*z^2)/a^6 - 
   (16*z^2)/a^4 + (4*z^4)/a^10 - (29*z^4)/a^8 + (49*z^4)/a^6 - (12*z^4)/a^4 - 
   (6*z^6)/a^8 + (19*z^6)/a^6 - (3*z^6)/a^4 + (3*z^8)/a^6, 
 Knot[14, NonAlternating, 5639] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   22*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (31*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5640] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   32*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 37*z^4 - 
   (3*z^4)/a^4 + (20*z^4)/a^2 + 16*a^2*z^4 - a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5641] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (37*z^4)/a^4 + (12*z^4)/a^2 + (9*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5642] -> -20 + 4/a^6 - 21/a^4 + 34/a^2 + 4*a^2 - 
   42*z^2 + (4*z^2)/a^6 - (34*z^2)/a^4 + (69*z^2)/a^2 + 8*a^2*z^2 - 34*z^4 + 
   z^4/a^6 - (22*z^4)/a^4 + (60*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (29*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5643] -> -2/a^12 + 13/a^10 - 31/a^8 + 29/a^6 - 
   8/a^4 - z^2/a^12 + (14*z^2)/a^10 - (54*z^2)/a^8 + (68*z^2)/a^6 - 
   (20*z^2)/a^4 + (4*z^4)/a^10 - (35*z^4)/a^8 + (65*z^4)/a^6 - (18*z^4)/a^4 - 
   (10*z^6)/a^8 + (33*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 5644] -> 
  a^(-18) - 8/a^16 + 24/a^14 - 33/a^12 + 17/a^10 - (5*z^2)/a^16 + 
   (31*z^2)/a^14 - (69*z^2)/a^12 + (52*z^2)/a^10 + (10*z^4)/a^14 - 
   (50*z^4)/a^12 + (62*z^4)/a^10 - (14*z^6)/a^12 + (36*z^6)/a^10 - z^8/a^12 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 5645] -> 
  -8*a^4 + 29*a^6 - 31*a^8 + 13*a^10 - 2*a^12 - 20*a^4*z^2 + 68*a^6*z^2 - 
   54*a^8*z^2 + 14*a^10*z^2 - a^12*z^2 - 18*a^4*z^4 + 65*a^6*z^4 - 
   35*a^8*z^4 + 4*a^10*z^4 - 7*a^4*z^6 + 33*a^6*z^6 - 10*a^8*z^6 - a^4*z^8 + 
   9*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 5646] -> 
  -20 + 4/a^2 + 34*a^2 - 21*a^4 + 4*a^6 - 42*z^2 + (8*z^2)/a^2 + 69*a^2*z^2 - 
   34*a^4*z^2 + 4*a^6*z^2 - 34*z^4 + (5*z^4)/a^2 + 60*a^2*z^4 - 22*a^4*z^4 + 
   a^6*z^4 - 13*z^6 + z^6/a^2 + 29*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 5647] -> 
  -20 + 4/a^2 + 34*a^2 - 21*a^4 + 4*a^6 - 42*z^2 + (8*z^2)/a^2 + 69*a^2*z^2 - 
   34*a^4*z^2 + 4*a^6*z^2 - 34*z^4 + (5*z^4)/a^2 + 60*a^2*z^4 - 22*a^4*z^4 + 
   a^6*z^4 - 13*z^6 + z^6/a^2 + 29*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 5648] -> 
  -7 - a^(-4) + 6/a^2 + 5*a^4 - 2*a^6 - 11*z^2 - z^2/a^4 + (8*z^2)/a^2 - 
   5*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 5649] -> 
  4 + a^(-10) - 4/a^8 + 7/a^6 - 3/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 5650] -> -7 - 2/a^6 + 5/a^4 + 6*a^2 - a^4 - 
   11*z^2 - z^2/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   7*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5651] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (24*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (31*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5652] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 
   16*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + 
   (3*z^4)/a^2 + 33*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   21*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 5653] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (21*z^2)/a^8 + (27*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (35*z^4)/a^6 - (10*z^4)/a^4 - (9*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5654] -> -20 + 4/a^2 + 34*a^2 - 21*a^4 + 4*a^6 - 
   42*z^2 + (8*z^2)/a^2 + 69*a^2*z^2 - 34*a^4*z^2 + 4*a^6*z^2 - 34*z^4 + 
   (5*z^4)/a^2 + 60*a^2*z^4 - 22*a^4*z^4 + a^6*z^4 - 13*z^6 + z^6/a^2 + 
   29*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 5655] -> a^(-14) - 6/a^12 + 10/a^10 - 7/a^8 + 
   a^(-6) + 2/a^4 - (7*z^2)/a^12 + (21*z^2)/a^10 - (16*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (15*z^4)/a^10 - (17*z^4)/a^8 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 5656] -> 
  -9 - a^(-6) + a^(-4) + 5/a^2 + 6*a^2 - a^4 - 18*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 4*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5657] -> 2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5658] -> -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 
   29*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (41*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 5659] -> -7 - a^(-4) + 6/a^2 + 5*a^4 - 2*a^6 - 
   11*z^2 - z^2/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 5660] -> 4 + a^(-10) - 4/a^8 + 7/a^6 - 3/a^4 - 
   4/a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 5661] -> 
  2 + a^(-10) - 4/a^8 + 4/a^6 + a^(-4) - 3/a^2 + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5662] -> 3 - a^(-2) - a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 
   7*z^2 - (2*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 5663] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - (4*z^2)/a^12 + (9*z^2)/a^10 - 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (8*z^4)/a^10 - (8*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 5664] -> 
  a^(-14) - 6/a^12 + 9/a^10 - 3/a^8 - 4/a^6 + 4/a^4 - (6*z^2)/a^12 + 
   (17*z^2)/a^10 - (7*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + 
   (11*z^4)/a^10 - (8*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5665] -> -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 
   30*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (36*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (15*z^4)/a^4 + (36*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5666] -> a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 
   8/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (35*z^2)/a^6 - (37*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (30*z^4)/a^6 - (30*z^4)/a^4 + 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, NonAlternating, 5667] -> 
  -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 41*z^2 - (4*z^2)/a^4 + 
   (25*z^2)/a^2 + 25*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   2*z^8 + a^2*z^8, Knot[14, NonAlternating, 5668] -> 
  -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (16*z^2)/a^6 - (37*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (14*z^4)/a^6 - (37*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (21*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5669] -> -4 - a^(-8) + 8/a^6 - 18/a^4 + 
   16/a^2 - 8*z^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - (40*z^2)/a^4 + 
   (33*z^2)/a^2 - 5*z^4 - z^4/a^8 + (12*z^4)/a^6 - (34*z^4)/a^4 + 
   (26*z^4)/a^2 - z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 - 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 5670] -> 
  -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 29*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (41*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 5671] -> a^(-10) - 7/a^8 + 17/a^6 - 18/a^4 + 
   8/a^2 + (2*z^2)/a^10 - (18*z^2)/a^8 + (44*z^2)/a^6 - (41*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^10 - (17*z^4)/a^8 + (46*z^4)/a^6 - (36*z^4)/a^4 + 
   (6*z^4)/a^2 - (7*z^6)/a^8 + (26*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5672] -> 4 + a^(-10) - 5/a^8 + 8/a^6 - 2/a^4 - 
   5/a^2 + 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 5673] -> 2/a^10 - 11/a^8 + 18/a^6 - 12/a^4 + 
   4/a^2 + z^2/a^10 - (16*z^2)/a^8 + (43*z^2)/a^6 - (36*z^2)/a^4 + 
   (12*z^2)/a^2 - (7*z^4)/a^8 + (37*z^4)/a^6 - (43*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^8 + (14*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 5674] -> 
  a^(-14) - 7/a^12 + 15/a^10 - 16/a^8 + 8/a^6 + z^2/a^14 - (13*z^2)/a^12 + 
   (36*z^2)/a^10 - (38*z^2)/a^8 + (20*z^2)/a^6 - (7*z^4)/a^12 + 
   (34*z^4)/a^10 - (41*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - 
   (25*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 5675] -> -a^(-12) + 7/a^10 - 18/a^8 + 
   17/a^6 - 4/a^4 - z^2/a^12 + (11*z^2)/a^10 - (38*z^2)/a^8 + (46*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^4)/a^10 - (32*z^4)/a^8 + (49*z^4)/a^6 - (13*z^4)/a^4 + 
   z^6/a^10 - (13*z^6)/a^8 + (27*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 5676] -> 
  a^(-14) - 6/a^12 + 9/a^10 - 3/a^8 - 4/a^6 + 4/a^4 - (6*z^2)/a^12 + 
   (17*z^2)/a^10 - (7*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^12 + 
   (11*z^4)/a^10 - (8*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5677] -> -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 
   30*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (36*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (15*z^4)/a^4 + (36*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5678] -> a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 
   8/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (35*z^2)/a^6 - (37*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (30*z^4)/a^6 - (30*z^4)/a^4 + 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (12*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 - z^8/a^4, Knot[14, NonAlternating, 5679] -> 
  -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 41*z^2 - (4*z^2)/a^4 + 
   (25*z^2)/a^2 + 25*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - z^4/a^4 + (15*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   2*z^8 + a^2*z^8, Knot[14, NonAlternating, 5680] -> 
  -4 - a^(-8) + 7/a^6 - 16/a^4 + 15/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (16*z^2)/a^6 - (37*z^2)/a^4 + (32*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (14*z^4)/a^6 - (37*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (21*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5681] -> -4 - a^(-8) + 8/a^6 - 18/a^4 + 
   16/a^2 - 8*z^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - (40*z^2)/a^4 + 
   (33*z^2)/a^2 - 5*z^4 - z^4/a^8 + (12*z^4)/a^6 - (34*z^4)/a^4 + 
   (26*z^4)/a^2 - z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 - 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 5682] -> 
  -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 29*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (41*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 5683] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5684] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   2*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   7*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 5685] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5686] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   4*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5687] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5688] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 5689] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 5*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5690] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5691] -> 4*a^6 - 7*a^8 + 9*a^10 - 6*a^12 + a^14 + 
   14*a^6*z^2 - 23*a^8*z^2 + 31*a^10*z^2 - 14*a^12*z^2 + a^14*z^2 + 
   16*a^6*z^4 - 32*a^8*z^4 + 35*a^10*z^4 - 8*a^12*z^4 + 7*a^6*z^6 - 
   23*a^8*z^6 + 15*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - 
   a^8*z^10, Knot[14, NonAlternating, 5692] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + a^8*z^2 - 3*z^4 + 
   5*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 5693] -> -3 - a^(-8) + 2/a^6 - 3/a^4 + 5/a^2 + 
   a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 5694] -> a^4 + a^6 - 3*a^8 + 6*a^10 - 5*a^12 + 
   a^14 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 13*a^10*z^2 - 6*a^12*z^2 + 
   4*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 5695] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 
   5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5696] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 
   2*a^8 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   z^4 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 5697] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   5*z^2 + z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5698] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + 
   a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5699] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^8 + z^2/a^6 - (4*z^2)/a^2 + 
   z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 5700] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 4*z^2 + z^2/a^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 + z^4 - 5*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 5701] -> 
  1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 3*z^2 - 2*a^2*z^2 - 3*a^4*z^2 - 
   a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 5702] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 + z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 - z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5703] -> 5 + a^(-6) - 2/a^4 - 5*a^2 + 2*a^4 + 
   9*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 5704] -> 6 - a^(-2) - 8*a^2 + 5*a^4 - 
   a^6 + 12*z^2 - (4*z^2)/a^2 - 15*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 5705] -> 
  4 - a^(-2) - 5*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 8*z^2 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 5706] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^2 - 
   2*a^4 + a^6 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 - z^4/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 5707] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 5708] -> 1 - a^2 + a^4 + a^8 - a^10 + 
   z^2 - a^6*z^2 + 3*a^8*z^2 - z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 5709] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 5710] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   6*a^4*z^2 - 7*a^6*z^2 + 7*a^8*z^2 - a^12*z^2 + 3*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 5711] -> 4 - 2/a^6 + 5/a^4 - 5/a^2 - a^2 + 8*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5712] -> 
  -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + a^8 - 16*z^2 + (4*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 11*z^4 + z^4/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 7*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5713] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 - 
   z^2 + z^2/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + z^4 - 
   8*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 5714] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 3*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 5715] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 5716] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 5*z^2 + z^2/a^2 + a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 5717] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^8 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 5718] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5719] -> 1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 
   3*z^2 - 2*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 - 
   6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 5720] -> 3 + a^(-10) - 2/a^8 + 4/a^4 - 5/a^2 + 
   4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^4 - (13*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (11*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 5721] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (8*z^2)/a^4 - (12*z^2)/a^2 + z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 5722] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - 
   a^6 + 4*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5723] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5724] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + a^8*z^2 - 11*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 7*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 5725] -> -7 - a^(-4) + 5/a^2 + 4*a^2 + 
   a^4 - a^6 - 18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   7*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 5726] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 5727] -> a^(-2) - 3*a^2 + 5*a^4 - 
   2*a^6 + z^2/a^2 - 8*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - 
   9*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 5728] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   17*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5729] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5730] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 
   7*a^2*z^2 - 18*a^4*z^2 + 21*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 
   5*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 6*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 5731] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 5732] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 5733] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5734] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 5735] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^6*z^2 + 5*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 5736] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 
   2*a^4 + 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 
   2*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   5*z^6 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 5737] -> 
  2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 5738] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 + 2*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   7*z^4 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5739] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 5740] -> 2 + a^(-4) - 2/a^2 - a^2 + 
   2*a^4 - a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 5741] -> -a^(-8) + a^(-6) + a^(-2) - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 5742] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - z^2/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 5743] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 4*a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 5744] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (11*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 5745] -> -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + a^8 - 
   10*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 
   5*a^2*z^4 + a^2*z^6, Knot[14, NonAlternating, 5746] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 5747] -> -2 - 2/a^8 + 6/a^6 - 7/a^4 + 5/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 5748] -> 
  -11 - 2/a^4 + 8/a^2 + 7*a^2 - a^6 - 24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   11*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   5*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 5749] -> 5 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 
   4*a^2 + 2*a^4 + 11*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 
   9*a^2*z^2 + a^4*z^2 + 12*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5750] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5751] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 
   2*a^4 + 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 
   2*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   5*z^6 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 5752] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 5753] -> 
  4*a^2 - 9*a^4 + 12*a^6 - 8*a^8 + 2*a^10 + 8*a^2*z^2 - 22*a^4*z^2 + 
   26*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 21*a^4*z^4 + 
   20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 7*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 5754] -> 
  2 - 3*a^2 + 2*a^4 + 2*a^6 - 3*a^8 + a^10 + 3*z^2 - 6*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + a^6*z^6, Knot[14, NonAlternating, 5755] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5756] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 
   3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 5757] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 5758] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^2 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 5759] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5760] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5761] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 5762] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 
   4/a^2 - 2*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4 - z^4/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 5763] -> 
  a^(-10) - 2/a^8 + a^(-6) + a^(-4) - a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + (3*z^4)/a^4 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 5764] -> 
  5 - a^(-8) + 2/a^6 + a^(-4) - 5/a^2 - a^2 + 11*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (12*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - (12*z^4)/a^2 - a^2*z^4 + 2*z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5765] -> 5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 
   9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + 2*z^6, Knot[14, NonAlternating, 5766] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - 
   a^2*z^6 + a^6*z^6, Knot[14, NonAlternating, 5767] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 5768] -> 1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   2*z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   7*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 5769] -> -4 + 2/a^2 + 5*a^2 - 2*a^4 - 
   a^6 + a^8 - 9*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 6*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - z^6 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 5770] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   2*a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 5771] -> 
  1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 7*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 5772] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 
   4*z^2 + 16*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5773] -> a^2 + a^8 - a^10 + 2*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 5774] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   17*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5775] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 7*a^2*z^2 - 18*a^4*z^2 + 
   21*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 
   17*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 6*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 5776] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + a^8*z^2 - 5*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 5777] -> 
  -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 9*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 6*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 - z^6 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 5778] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   2*a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 5779] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - 
   a^2*z^6 + a^6*z^6, Knot[14, NonAlternating, 5780] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - 2*a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 5781] -> 
  5 + a^(-6) - 2/a^4 - 5*a^2 + 2*a^4 + 9*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 5782] -> 4 - a^(-2) - 5*a^2 + 3*a^4 + 2*a^6 - 
   2*a^8 + 8*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 5783] -> 
  6 - a^(-2) - 8*a^2 + 5*a^4 - a^6 + 12*z^2 - (4*z^2)/a^2 - 15*a^2*z^2 + 
   8*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 5784] -> 5 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 
   4*a^2 + 2*a^4 + 11*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 
   9*a^2*z^2 + a^4*z^2 + 12*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5785] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 2*z^2 + a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 5786] -> -2 - 2/a^8 + 6/a^6 - 7/a^4 + 5/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 5787] -> 
  -5 - 2/a^4 + 5/a^2 + 4*a^2 - a^6 - 10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   7*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   5*a^2*z^4 + a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5788] -> 6*a^6 - 13*a^8 + 17*a^10 - 12*a^12 + 
   3*a^14 + 17*a^6*z^2 - 34*a^8*z^2 + 43*a^10*z^2 - 21*a^12*z^2 + 
   2*a^14*z^2 + 17*a^6*z^4 - 38*a^8*z^4 + 41*a^10*z^4 - 10*a^12*z^4 + 
   7*a^6*z^6 - 24*a^8*z^6 + 16*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 
   2*a^10*z^8 - a^8*z^10, Knot[14, NonAlternating, 5789] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 5790] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   2*z^4 + z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5791] -> 
  -9 + 4/a^2 + 10*a^2 - 5*a^4 + a^8 - 19*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 
   10*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 12*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   5*a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 8*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5792] -> -11 - 2/a^4 + 8/a^2 + 7*a^2 - a^6 - 
   24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 11*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 5793] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5794] -> -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 
   25*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5795] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 5796] -> 4*a^2 - 9*a^4 + 12*a^6 - 8*a^8 + 2*a^10 + 
   8*a^2*z^2 - 22*a^4*z^2 + 26*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 21*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 5797] -> 2 - 3*a^2 + 2*a^4 + 2*a^6 - 3*a^8 + a^10 + 
   3*z^2 - 6*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 
   5*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 5798] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 5799] -> 2 - 4*a^2 + 5*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   3*z^2 - 8*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 5800] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5801] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 5802] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 5803] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   4*z^2 + z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   4*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 5804] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 5805] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 5806] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5807] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5808] -> -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 
   25*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5809] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 5810] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 5811] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   9*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5812] -> 2 - 4*a^2 + 5*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   3*z^2 - 8*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 5813] -> -15 - 3/a^4 + 11/a^2 + 10*a^2 - a^4 - 
   a^6 - 34*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 19*a^2*z^2 - a^6*z^2 - 
   30*z^4 - z^4/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 + a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 5814] -> 
  2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 5815] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 
   4*z^2 + 16*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5816] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 5817] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 5818] -> 6*a^6 - 13*a^8 + 17*a^10 - 12*a^12 + 
   3*a^14 + 17*a^6*z^2 - 34*a^8*z^2 + 43*a^10*z^2 - 21*a^12*z^2 + 
   2*a^14*z^2 + 17*a^6*z^4 - 38*a^8*z^4 + 41*a^10*z^4 - 10*a^12*z^4 + 
   7*a^6*z^6 - 24*a^8*z^6 + 16*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 
   2*a^10*z^8 - a^8*z^10, Knot[14, NonAlternating, 5819] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 5820] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 - 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 5821] -> 3 - 5*a^2 + 4*a^4 - a^6 + 2*z^2 - 
   5*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5822] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5823] -> 
  1 - a^(-10) + a^(-8) - a^(-6) + 3/a^4 - 2/a^2 + 2*z^2 + z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 5824] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 15*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 12*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 5825] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 5826] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - z^4 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5827] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5828] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5829] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 5830] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5831] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 + a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 5832] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 5833] -> 
  -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 10*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 5834] -> 
  -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 - z^4/a^4 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 5835] -> -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 + (4*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 5836] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 + (2*z^2)/a^4 + z^2/a^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^2 - a^2*z^4, Knot[14, NonAlternating, 5837] -> 
  1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 5838] -> 
  2*a^4 - a^6 + 2*a^10 - 3*a^12 + a^14 + 4*a^4*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - 
   4*a^12*z^2 + 2*a^4*z^4 - 3*a^8*z^4 + 5*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 5839] -> -9 - 3/a^4 + 8/a^2 + 8*a^2 - 3*a^4 - 
   21*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5840] -> 
  5*a^6 - 8*a^8 + 9*a^10 - 7*a^12 + 2*a^14 + 13*a^6*z^2 - 18*a^8*z^2 + 
   21*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 11*a^6*z^4 - 17*a^8*z^4 + 
   18*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 9*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, 
 Knot[14, NonAlternating, 5841] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 5842] -> 
  4*a^6 - 6*a^8 + 8*a^10 - 7*a^12 + 2*a^14 + 13*a^6*z^2 - 18*a^8*z^2 + 
   23*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 12*a^6*z^4 - 19*a^8*z^4 + 
   20*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 10*a^8*z^6 + 5*a^10*z^6 - 
   2*a^8*z^8, Knot[14, NonAlternating, 5843] -> 
  -3 - 2/a^8 + 4/a^6 - 6/a^4 + 8/a^2 - 7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5844] -> a^4 + a^6 - a^8 + 2*a^10 - 3*a^12 + a^14 + 
   4*a^4*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 3*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + 
   5*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 5845] -> 
  1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 5846] -> -9 - 3/a^4 + 8/a^2 + 8*a^2 - 3*a^4 - 
   21*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5847] -> 
  5*a^6 - 8*a^8 + 9*a^10 - 7*a^12 + 2*a^14 + 13*a^6*z^2 - 18*a^8*z^2 + 
   21*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 11*a^6*z^4 - 17*a^8*z^4 + 
   18*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 9*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, 
 Knot[14, NonAlternating, 5848] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 5849] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 5850] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 5851] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 + a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5852] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5853] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + 5*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 
   3*a^10*z^2 - a^12*z^2 + 3*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 5854] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5855] -> a^2 + a^8 - a^10 + a^2*z^2 + 3*a^4*z^2 - 
   5*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 9*a^6*z^4 + 
   5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 5856] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5857] -> 
  4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 + 12*a^6*z^2 - 14*a^8*z^2 + 
   17*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 11*a^6*z^4 - 16*a^8*z^4 + 
   17*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 9*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, 
 Knot[14, NonAlternating, 5858] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 5859] -> a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 
   4*a^12 + a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 9*a^10*z^2 - 
   4*a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 5*a^10*z^4 - a^6*z^6 - 
   2*a^8*z^6, Knot[14, NonAlternating, 5860] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 5861] -> 
  a^2 + a^8 - a^10 + a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 7*a^8*z^2 - 
   2*a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 9*a^6*z^4 + 5*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 5862] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 5863] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 5864] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 12*a^2*z^2 - 16*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5865] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5866] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5867] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 5868] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   13*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 5869] -> 
  -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - 
   (15*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (22*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 5870] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + a^4*z^2 + 14*a^6*z^2 - 22*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 23*a^6*z^4 - 27*a^8*z^4 + 
   7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 5871] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^2)/a^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 5872] -> 
  a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   10*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 5873] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 15*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5874] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5875] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 2*a^2*z^2 - 2*a^4*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 5876] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 + 3*a^4*z^2 + 6*a^6*z^2 - 15*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 - 5*a^4*z^4 + 19*a^6*z^4 - 24*a^8*z^4 + 7*a^10*z^4 - 
   5*a^4*z^6 + 17*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 5877] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5878] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5879] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 5880] -> 3*a^6 - a^8 - a^10 + 5*a^6*z^2 + 
   7*a^8*z^2 - 5*a^10*z^2 + 2*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 6*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 5881] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (9*z^2)/a^10 + 
   (3*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^12 - (10*z^4)/a^10 + (6*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 5882] -> -4 + 7*a^2 + 2*a^4 - 5*a^6 + a^8 - 8*z^2 + 
   12*a^2*z^2 + 14*a^4*z^2 - 12*a^6*z^2 + a^8*z^2 - 5*z^4 + 10*a^2*z^4 + 
   20*a^4*z^4 - 9*a^6*z^4 - z^6 + 5*a^2*z^6 + 11*a^4*z^6 - 2*a^6*z^6 + 
   a^2*z^8 + 2*a^4*z^8, Knot[14, NonAlternating, 5883] -> 
  -a^(-16) + 8/a^14 - 18/a^12 + 12/a^10 + z^2/a^16 + (4*z^2)/a^14 - 
   (35*z^2)/a^12 + (40*z^2)/a^10 + z^4/a^16 - (8*z^4)/a^14 - (15*z^4)/a^12 + 
   (51*z^4)/a^10 - (6*z^6)/a^14 + (7*z^6)/a^12 + (31*z^6)/a^10 - z^8/a^14 + 
   (6*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 5884] -> -12 - a^(-4) + 7/a^2 + 9*a^2 - 2*a^4 - 
   24*z^2 - z^2/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 5885] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 
   3*a^2 - 15*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 5886] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (22*z^2)/a^4 + (20*z^2)/a^2 - a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (17*z^4)/a^2 - a^2*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 5887] -> -12 - a^(-4) + 7/a^2 + 9*a^2 - 
   2*a^4 - 24*z^2 - z^2/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5888] -> 
  -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 15*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (18*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 5889] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (22*z^2)/a^4 + (20*z^2)/a^2 - 
   a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5890] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 5891] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 - 3*z^4 + 13*a^2*z^4 - 5*a^4*z^4 - z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5892] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 5893] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5894] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5895] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   7*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 5896] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 + (5*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 5897] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (19*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (28*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5898] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 + (6*z^2)/a^10 - (19*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^4)/a^10 - (20*z^4)/a^8 + (31*z^4)/a^6 - (10*z^4)/a^4 - (8*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5899] -> -a^(-8) + 2/a^4 + z^2/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 - (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 5900] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5901] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + z^2/a^2 + 21*a^2*z^2 - 
   14*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 5902] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (9*z^2)/a^8 + 
   (17*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - (6*z^4)/a^8 + (21*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5903] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (5*z^2)/a^12 + (14*z^2)/a^10 - (17*z^2)/a^8 + (14*z^2)/a^6 - 
   z^4/a^12 + (12*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5904] -> -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 
   33*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (19*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5905] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   z^4/a^2 + a^2*z^4 + 3*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 5906] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 5907] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5908] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 5909] -> 
  -2 + 6*a^2 - 3*a^4 - 12*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + 
   a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 5910] -> a^(-10) - 5/a^8 + 11/a^6 - 
   12/a^4 + 6/a^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (32*z^2)/a^4 + 
   (12*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - (36*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^8 + (12*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 5911] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 16*a^2*z^2 - 17*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 13*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 5912] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   8*z^2 - z^2/a^8 + (13*z^2)/a^6 - (31*z^2)/a^4 + (28*z^2)/a^2 - 10*z^4 + 
   (6*z^4)/a^6 - (29*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5913] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 5914] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5915] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 5*z^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - 
   (33*z^2)/a^4 + (24*z^2)/a^2 - 4*z^4 - z^4/a^8 + (14*z^4)/a^6 - 
   (36*z^4)/a^4 + (23*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (21*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5916] -> 3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + 
   (4*z^2)/a^10 - (26*z^2)/a^8 + (40*z^2)/a^6 - (11*z^2)/a^4 + (2*z^4)/a^10 - 
   (21*z^4)/a^8 + (43*z^4)/a^6 - (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5917] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5918] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 5919] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (20*z^2)/a^4 + (32*z^2)/a^2 - a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (30*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 5920] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (24*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (22*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 5921] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 25*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 5922] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 
   9*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + (28*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (24*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5923] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 12*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 5924] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 5925] -> 
  -10 + 2/a^2 + 16*a^2 - 7*a^4 - 24*z^2 + (5*z^2)/a^2 + 37*a^2*z^2 - 
   14*a^4*z^2 + a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 37*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 21*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 5926] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 21*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5927] -> 
  -3 + 10*a^2 - 10*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 20*a^2*z^2 - 20*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 2*z^4 + 13*a^2*z^4 - 16*a^4*z^4 + 5*a^6*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 5928] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 6/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (23*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 5929] -> 
  -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 13*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (23*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (17*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5930] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 - a^2*z^2 - 
   2*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5931] -> 
  -11 - 3/a^4 + 10/a^2 + 6*a^2 - a^4 - 24*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 
   9*a^2*z^2 - 20*z^4 - z^4/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 
   8*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 5932] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - (6*z^2)/a^12 + (19*z^2)/a^10 - 
   (21*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - 
   (19*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 5933] -> -3*a^4 + 10*a^6 - 6*a^8 - 8*a^4*z^2 + 
   26*a^6*z^2 - 6*a^8*z^2 - 3*a^10*z^2 - 7*a^4*z^4 + 25*a^6*z^4 + a^8*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 5934] -> 3/a^10 - 9/a^8 + 7/a^6 + 
   z^2/a^12 + (4*z^2)/a^10 - (18*z^2)/a^8 + (16*z^2)/a^6 + (2*z^4)/a^12 + 
   z^4/a^10 - (17*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - 
   (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5935] -> -4 + 10*a^2 - 5*a^4 - 8*z^2 + 20*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5936] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   8*z^2 - z^2/a^8 + (13*z^2)/a^6 - (31*z^2)/a^4 + (28*z^2)/a^2 - 10*z^4 + 
   (6*z^4)/a^6 - (29*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5937] -> -a^(-8) + 2/a^4 + z^2/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 - (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 5938] -> -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 
   33*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (19*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5939] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 5940] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5941] -> 
  a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 6/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (27*z^2)/a^6 - (32*z^2)/a^4 + (12*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - 
   (36*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (21*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5942] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 5943] -> 
  -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 21*z^2 + (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (31*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5944] -> -2 - a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 - 
   5*z^2 - (2*z^2)/a^2 + 26*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 4*z^4 - 
   z^4/a^2 + 26*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - z^6 + 12*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 5945] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 10*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + 
   (32*z^2)/a^2 - a^2*z^2 - 6*z^4 + z^4/a^6 - (14*z^4)/a^4 + (30*z^4)/a^2 - 
   a^2*z^4 - z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 5946] -> 3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + 
   (4*z^2)/a^10 - (26*z^2)/a^8 + (40*z^2)/a^6 - (11*z^2)/a^4 + (2*z^4)/a^10 - 
   (21*z^4)/a^8 + (43*z^4)/a^6 - (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 5947] -> -a^(-16) + 6/a^14 - 11/a^12 + 4/a^10 + 
   3/a^8 + (5*z^2)/a^14 - (19*z^2)/a^12 + (10*z^2)/a^10 + (13*z^2)/a^8 - 
   (8*z^4)/a^12 + (9*z^4)/a^10 + (17*z^4)/a^8 + (3*z^6)/a^10 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[14, NonAlternating, 5948] -> -a^(-12) + 6/a^10 - 13/a^8 + 
   10/a^6 - a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (27*z^2)/a^8 + (29*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^4)/a^10 - (21*z^4)/a^8 + (31*z^4)/a^6 - (8*z^4)/a^4 - 
   (6*z^6)/a^8 + (15*z^6)/a^6 - (3*z^6)/a^4 + (3*z^8)/a^6, 
 Knot[14, NonAlternating, 5949] -> -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 
   17*z^2 + (3*z^2)/a^2 + 31*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 5950] -> -a^2 + 9*a^6 - 9*a^8 + 2*a^10 - 
   3*a^2*z^2 + 4*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   8*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 5951] -> -10 + 2/a^2 + 16*a^2 - 7*a^4 - 
   24*z^2 + (5*z^2)/a^2 + 37*a^2*z^2 - 14*a^4*z^2 + a^6*z^2 - 23*z^4 + 
   (4*z^4)/a^2 + 37*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 
   21*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 5952] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 9*z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (28*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (24*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 5953] -> 
  -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (22*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (18*z^4)/a^6 - (4*z^4)/a^4 - (5*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 5954] -> 
  -1 + 6*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 2*z^2 + 14*a^2*z^2 - 24*a^4*z^2 + 
   20*a^6*z^2 - 4*a^8*z^2 - z^4 + 11*a^2*z^4 - 24*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 5955] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 22*z^2 + 
   (6*z^2)/a^2 + 28*a^2*z^2 - 8*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 5956] -> 2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 5957] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 5958] -> 
  3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + (3*z^2)/a^10 - (20*z^2)/a^8 + 
   (31*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (27*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 5959] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - (6*z^4)/a^8 + (19*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5960] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 5961] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 14*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 6*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 5962] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - z^2 + (7*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 + z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5963] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (11*z^4)/a^8 + (18*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 5964] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 5965] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5966] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5967] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 7*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 5968] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5969] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + 
   (5*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5970] -> -11 + 4/a^2 + 12*a^2 - 4*a^4 - 22*z^2 + 
   (6*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 14*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 5971] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 21*z^2 + 
   (4*z^2)/a^4 - (16*z^2)/a^2 - 6*a^2*z^2 + 13*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 5972] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 
   10*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 5973] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (18*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 5974] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + z^2 + 
   z^2/a^8 - (12*z^2)/a^6 + (24*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^6 + (16*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 5975] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (26*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 5976] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - 
   z^2/a^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5977] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 5978] -> -2 + 6*a^2 - 3*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 5979] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (18*z^2)/a^8 + (37*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (42*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 5980] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 10*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (28*z^2)/a^4 + (32*z^2)/a^2 - 10*z^4 + (6*z^4)/a^6 - (27*z^4)/a^4 + 
   (35*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 5981] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (28*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (24*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 5982] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 23*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 19*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 5983] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (4*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 5984] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^8 + 
   (16*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 + (7*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 5985] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 5986] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (15*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (13*z^4)/a^6 - (3*z^4)/a^4 - (5*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 5987] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 12*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   5*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 5988] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 - z^2/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 5989] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 5990] -> a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 5991] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 5992] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (3*z^2)/a^4 + z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 5993] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 7*z^4 + z^4/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 5994] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (28*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 5995] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 + (3*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 5996] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 5997] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - 5*z^2 + 
   (3*z^2)/a^4 + 3*a^2*z^2 - 14*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 5998] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (21*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + (10*z^4)/a^10 - (20*z^4)/a^8 + 
   (12*z^4)/a^6 + (3*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 5999] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 6000] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 6001] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - z^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6002] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^4 - z^4/a^2 - z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 6003] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 
   5*z^2 + 19*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   14*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6004] -> 
  -4*a^6 + 13*a^8 - 8*a^10 - 14*a^6*z^2 + 52*a^8*z^2 - 24*a^10*z^2 - 
   16*a^6*z^4 + 67*a^8*z^4 - 22*a^10*z^4 - 7*a^6*z^6 + 38*a^8*z^6 - 
   8*a^10*z^6 - a^6*z^8 + 10*a^8*z^8 - a^10*z^8 + a^8*z^10, 
 Knot[14, NonAlternating, 6005] -> 4/a^12 - 12/a^10 + 9/a^8 + (14*z^2)/a^12 - 
   (42*z^2)/a^10 + (34*z^2)/a^8 + (16*z^4)/a^12 - (52*z^4)/a^10 + 
   (37*z^4)/a^8 + (7*z^6)/a^12 - (31*z^6)/a^10 + (15*z^6)/a^8 + z^8/a^12 - 
   (9*z^8)/a^10 + (2*z^8)/a^8 - z^10/a^10, Knot[14, NonAlternating, 6006] -> 
  -5*a^2 + 13*a^4 - 7*a^6 - 20*a^2*z^2 + 49*a^4*z^2 - 21*a^6*z^2 - 
   21*a^2*z^4 + 63*a^4*z^4 - 21*a^6*z^4 - 8*a^2*z^6 + 37*a^4*z^6 - 
   8*a^6*z^6 - a^2*z^8 + 10*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 6007] -> -a^4 + 8*a^8 - 6*a^10 - 4*a^4*z^2 + 
   8*a^6*z^2 + 20*a^8*z^2 - 11*a^10*z^2 - 4*a^4*z^4 + 12*a^6*z^4 + 
   18*a^8*z^4 - 6*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 6008] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + (7*z^2)/a^12 - (17*z^2)/a^10 + 
   (5*z^2)/a^8 + (10*z^2)/a^6 + (5*z^4)/a^12 - (14*z^4)/a^10 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 6009] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 6*z^2 + 4*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 - 
   5*z^4 + 10*a^2*z^4 + 17*a^4*z^4 - 6*a^6*z^4 - z^6 + 6*a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 6010] -> 
  -2*a^4 + 4*a^6 + 3*a^8 - 4*a^10 - 5*a^4*z^2 + 14*a^6*z^2 + 11*a^8*z^2 - 
   8*a^10*z^2 - 4*a^4*z^4 + 14*a^6*z^4 + 13*a^8*z^4 - 5*a^10*z^4 - a^4*z^6 + 
   6*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 6011] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (5*z^2)/a^12 - (10*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^12 - 
   (10*z^4)/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 6012] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 
   10*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + 12*a^2*z^4 + 12*a^4*z^4 - 
   5*a^6*z^4 - z^6 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 6013] -> -2*a^4 + 4*a^6 + 3*a^8 - 4*a^10 - 
   a^2*z^2 + 11*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   8*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 6014] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (3*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 6015] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 6016] -> 
  -3*a^4 + 8*a^6 - 2*a^8 - 2*a^10 - 7*a^4*z^2 + 20*a^6*z^2 + 5*a^8*z^2 - 
   7*a^10*z^2 - 5*a^4*z^4 + 18*a^6*z^4 + 11*a^8*z^4 - 5*a^10*z^4 - a^4*z^6 + 
   7*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 6017] -> a^(-12) - 6/a^8 + 6/a^6 + (4*z^2)/a^12 - 
   (5*z^2)/a^10 - (10*z^2)/a^8 + (14*z^2)/a^6 + (4*z^4)/a^12 - (8*z^4)/a^10 - 
   (9*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 6018] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + 14*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 
   5*z^4 + 13*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - z^6 + 6*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 6019] -> 
  -a^2 + a^4 + 3*a^6 - 2*a^10 - 2*a^2*z^2 + 3*a^4*z^2 + 10*a^6*z^2 + 
   2*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 6020] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 + (2*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 6021] -> 
  1 - a^(-2) + 2*a^2 - a^6 + z^2 - (2*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 6022] -> 
  4/a^16 - 14/a^14 + 11/a^12 + (10*z^2)/a^16 - (59*z^2)/a^14 + 
   (66*z^2)/a^12 + (6*z^4)/a^16 - (78*z^4)/a^14 + (132*z^4)/a^12 + z^6/a^16 - 
   (44*z^6)/a^14 + (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - 
   z^10/a^14 + (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 6023] -> 
  3/a^16 - 10/a^14 + 6/a^12 + 2/a^10 + (4*z^2)/a^16 - (28*z^2)/a^14 + 
   (22*z^2)/a^12 + (18*z^2)/a^10 + z^4/a^16 - (26*z^4)/a^14 + (37*z^4)/a^12 + 
   (36*z^4)/a^10 - (9*z^6)/a^14 + (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 6024] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (3*z^2)/a^16 - (19*z^2)/a^14 + (7*z^2)/a^12 + (24*z^2)/a^10 + z^4/a^16 - 
   (20*z^4)/a^14 + (21*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + 
   (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 6025] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (12*z^2)/a^14 + 
   (4*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 6026] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (16*z^2)/a^14 + z^2/a^12 + (26*z^2)/a^10 + z^4/a^16 - 
   (20*z^4)/a^14 + (19*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + 
   (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 6027] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 + 
   (12*z^2)/a^10 + (8*z^2)/a^8 - (6*z^4)/a^14 + (5*z^4)/a^12 + 
   (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 6028] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   z^2/a^16 - (8*z^2)/a^14 - (3*z^2)/a^12 + (18*z^2)/a^10 + (6*z^2)/a^8 - 
   (6*z^4)/a^14 + (5*z^4)/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 6029] -> -3 + 7*a^2 - 2*a^4 - a^6 - 
   3*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^2 + 
   11*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6030] -> a^(-12) - 6/a^8 + 6/a^6 + (2*z^2)/a^12 - 
   z^2/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 6031] -> 
  -a^2 + 2*a^4 - a^6 + 5*a^8 - 4*a^10 - 2*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 + 
   9*a^8*z^2 - 4*a^10*z^2 - a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 6032] -> 
  2/a^12 - 5/a^10 + 3/a^8 - a^(-6) + 2/a^4 + (3*z^2)/a^12 - (7*z^2)/a^10 + 
   (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 - z^4/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 6033] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 
   4*z^2 - (3*z^2)/a^2 + 8*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6034] -> 2/a^16 - 7/a^14 + 5/a^12 - a^(-10) + 
   2/a^8 + z^2/a^16 - (13*z^2)/a^14 + (13*z^2)/a^12 + (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (7*z^4)/a^14 + (15*z^4)/a^12 + (9*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 6035] -> 
  8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 15*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 10*z^4 - z^4/a^2 - 12*a^2*z^4 + a^6*z^4 + 2*z^6 - 
   6*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 6036] -> 
  -5 + 15*a^2 - 12*a^4 + 3*a^6 - 10*z^2 + 35*a^2*z^2 - 32*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 6*z^4 + 33*a^2*z^4 - 38*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - z^6 + 14*a^2*z^6 - 24*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 6037] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (5*z^2)/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + (4*z^4)/a^12 + 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 6038] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 6039] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 + z^2/a^12 - z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - z^4/a^6, 
 Knot[14, NonAlternating, 6040] -> -4*a^4 + 12*a^6 - 7*a^8 - 8*a^4*z^2 + 
   26*a^6*z^2 - 4*a^8*z^2 - 4*a^10*z^2 - 5*a^4*z^4 + 20*a^6*z^4 + 6*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 7*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 6041] -> 4/a^10 - 11/a^8 + 8/a^6 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (18*z^2)/a^8 + (16*z^2)/a^6 + (3*z^4)/a^12 - 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 6042] -> -4 + 11*a^2 - 7*a^4 + a^6 - 8*z^2 + 
   20*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 - 5*z^4 + 15*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - z^6 + 6*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 6043] -> -2*a^2 + 5*a^4 - 2*a^6 + 2*a^8 - 2*a^10 - 
   3*a^2*z^2 + 9*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 
   5*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 6044] -> a^(-12) - 2/a^10 + 2/a^8 - 
   4/a^6 + 4/a^4 + (2*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 6045] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 7*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6046] -> 2/a^14 - 9/a^12 + 8/a^10 + (2*z^2)/a^16 - 
   (7*z^2)/a^14 - (14*z^2)/a^12 + (32*z^2)/a^10 + z^4/a^16 - (14*z^4)/a^14 + 
   (3*z^4)/a^12 + (46*z^4)/a^10 - (7*z^6)/a^14 + (14*z^6)/a^12 + 
   (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 6047] -> 
  a^(-16) - 4/a^14 + 4/a^12 - 4/a^10 + 4/a^8 + z^2/a^16 - (9*z^2)/a^14 + 
   (9*z^2)/a^12 - (3*z^2)/a^10 + (14*z^2)/a^8 - (6*z^4)/a^14 + 
   (11*z^4)/a^12 + (5*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 6048] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (18*z^2)/a^8 + (37*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (42*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 6049] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (18*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6050] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 
   10*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6051] -> 
  2/a^14 - 9/a^12 + 8/a^10 + z^2/a^16 - (3*z^2)/a^14 - (16*z^2)/a^12 + 
   (28*z^2)/a^10 + (3*z^2)/a^8 - (5*z^4)/a^14 - (5*z^4)/a^12 + 
   (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 6052] -> -4 + 11*a^2 - 7*a^4 + a^6 - 6*z^2 - 
   z^2/a^2 + 20*a^2*z^2 - 9*a^4*z^2 - z^4 - z^4/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4 + z^6 + 4*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6053] -> 4/a^10 - 11/a^8 + 8/a^6 + z^2/a^12 + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (11*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 6054] -> 2/a^14 - 9/a^12 + 8/a^10 + z^2/a^16 - 
   (3*z^2)/a^14 - (16*z^2)/a^12 + (28*z^2)/a^10 + (3*z^2)/a^8 - 
   (5*z^4)/a^14 - (5*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 6055] -> -4 + 11*a^2 - 7*a^4 + a^6 - 
   6*z^2 - z^2/a^2 + 20*a^2*z^2 - 9*a^4*z^2 - z^4 - z^4/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4 + z^6 + 4*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6056] -> 4/a^10 - 11/a^8 + 8/a^6 + z^2/a^12 + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (11*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 6057] -> -1 + 2*a^2 + 2*a^8 - 2*a^10 - z^2 + 
   3*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^2*z^4 + 
   a^4*z^4 + a^6*z^4 + a^8*z^4, Knot[14, NonAlternating, 6058] -> 
  a^(-12) - 2/a^10 + a^(-8) - a^(-4) + 2/a^2 + z^2/a^12 - (2*z^2)/a^10 - 
   z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - z^4/a^8 - z^4/a^6 - z^4/a^4, 
 Knot[14, NonAlternating, 6059] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 + a^2*z^4 + 
   a^4*z^4, Knot[14, NonAlternating, 6060] -> a^(-16) - 4/a^14 + 3/a^12 - 
   a^(-8) + 2/a^6 - (5*z^2)/a^14 + (6*z^2)/a^12 + (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (6*z^2)/a^6 - z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 6061] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   3*z^2 + 16*a^2*z^2 - 21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   12*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6062] -> 
  -4*a^4 + 12*a^6 - 7*a^8 - 10*a^4*z^2 + 34*a^6*z^2 - 14*a^8*z^2 - 
   8*a^4*z^4 + 32*a^6*z^4 - 9*a^8*z^4 - 2*a^4*z^6 + 13*a^6*z^6 - 2*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 6063] -> 
  4/a^10 - 11/a^8 + 8/a^6 + (10*z^2)/a^10 - (28*z^2)/a^8 + (20*z^2)/a^6 + 
   (8*z^4)/a^10 - (27*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 6064] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (21*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (21*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6065] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6066] -> -4 + 11*a^2 - 7*a^4 + a^6 - 10*z^2 + 
   28*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 25*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 6067] -> 8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 13*z^2 - 
   (4*z^2)/a^2 - 7*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 6068] -> 3/a^14 - 11/a^12 + 9/a^10 + (4*z^2)/a^14 - 
   (27*z^2)/a^12 + (31*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^14 - (19*z^4)/a^12 + 
   (37*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 6069] -> 
  -3*a^4 + 8*a^6 - 2*a^8 - 2*a^10 - 3*a^4*z^2 + 16*a^6*z^2 + a^8*z^2 - 
   3*a^10*z^2 - a^4*z^4 + 10*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 6070] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 - (5*z^2)/a^14 - (2*z^2)/a^12 + (13*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (12*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 6071] -> -3 + 7*a^2 - 2*a^4 - a^6 - 2*z^2 - 
   z^2/a^4 + 11*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 + 6*a^2*z^4 + 
   a^4*z^4 - z^6, Knot[14, NonAlternating, 6072] -> 
  a^(-12) - 6/a^8 + 6/a^6 + z^2/a^12 - (7*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 6073] -> a^(-6) - 3/a^4 + 3/a^2 - 
   5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 6074] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 - 4*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6075] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 + z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (8*z^4)/a^4 + (3*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 6076] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 + 4*z^2 - z^2/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 6077] -> -a^2 + 7*a^6 - 5*a^8 - 2*a^2*z^2 + 
   3*a^4*z^2 + 14*a^6*z^2 - 6*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 6078] -> 
  3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 6079] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6080] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 6081] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 + 
   3*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 6082] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 + 
   z^4/a^2 - a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 6083] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^14 - (11*z^2)/a^12 + 
   (10*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^12 + (10*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 6084] -> -a^2 + a^4 + 3*a^6 - 2*a^10 + 3*a^4*z^2 + 
   6*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + a^4*z^4 + 2*a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 6085] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + 
   (6*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 6086] -> -5*a^4 + 16*a^6 - 12*a^8 + 2*a^10 - 
   12*a^4*z^2 + 40*a^6*z^2 - 20*a^8*z^2 + a^10*z^2 - 9*a^4*z^4 + 36*a^6*z^4 - 
   11*a^8*z^4 - 2*a^4*z^6 + 14*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 6087] -> -a^(-12) + 8/a^10 - 16/a^8 + 10/a^6 - 
   z^2/a^12 + (15*z^2)/a^10 - (35*z^2)/a^8 + (22*z^2)/a^6 + (10*z^4)/a^10 - 
   (31*z^4)/a^8 + (15*z^4)/a^6 + (2*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 6088] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + a^2*z^2 - 9*z^4 + z^4/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 6089] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 6090] -> -5 + 15*a^2 - 12*a^4 + 3*a^6 - 10*z^2 + 
   32*a^2*z^2 - 25*a^4*z^2 + 6*a^6*z^2 - 6*z^4 + 26*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 6091] -> -a^(-16) + 7/a^14 - 16/a^12 + 11/a^10 + 
   (7*z^2)/a^14 - (34*z^2)/a^12 + (35*z^2)/a^10 + (3*z^2)/a^8 + z^4/a^14 - 
   (22*z^4)/a^12 + (40*z^4)/a^10 + (7*z^4)/a^8 - (4*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 6092] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   26*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (32*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6093] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   34*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 37*z^4 - 
   (3*z^4)/a^4 + (21*z^4)/a^2 + 16*a^2*z^4 - a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 6094] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + z^2/a^10 - (9*z^2)/a^8 + (28*z^2)/a^6 - (31*z^2)/a^4 + 
   (12*z^2)/a^2 - (4*z^4)/a^8 + (24*z^4)/a^6 - (38*z^4)/a^4 + (12*z^4)/a^2 + 
   (9*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 6095] -> 
  -1 + 4*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 2*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   19*a^6*z^2 - 4*a^8*z^2 - z^4 + 11*a^2*z^4 - 23*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 6096] -> -4*a^4 + 12*a^6 - 7*a^8 - 10*a^4*z^2 + 
   34*a^6*z^2 - 14*a^8*z^2 - 8*a^4*z^4 + 32*a^6*z^4 - 9*a^8*z^4 - 2*a^4*z^6 + 
   13*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 6097] -> 
  4/a^10 - 11/a^8 + 8/a^6 + (10*z^2)/a^10 - (28*z^2)/a^8 + (20*z^2)/a^6 + 
   (8*z^4)/a^10 - (27*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 6098] -> 
  2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 2/a^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (22*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (21*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6099] -> 
  -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   21*a^2*z^2 - 7*a^4*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6100] -> -4 + 11*a^2 - 7*a^4 + a^6 - 10*z^2 + 
   28*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 25*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 6101] -> 3/a^14 - 11/a^12 + 9/a^10 + (4*z^2)/a^14 - 
   (27*z^2)/a^12 + (31*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^14 - (19*z^4)/a^12 + 
   (37*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 6102] -> 
  a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 8/a^2 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (39*z^2)/a^6 - (39*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (42*z^4)/a^6 - (35*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6103] -> -13 + 2/a^6 - 10/a^4 + 18/a^2 + 4*a^2 - 
   33*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + (43*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 + 
   z^4/a^6 - (18*z^4)/a^4 + (45*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6104] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 
   2*z^2 - z^2/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 
   18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 6105] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6106] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6107] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 2*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 
   z^4 - a^4*z^4 + z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 6108] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + z^4 + a^2*z^4 + 
   3*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 6109] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 6110] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 6111] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 6112] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 6113] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 6114] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 6115] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6116] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6117] -> 
  -4 - a^(-8) + 8/a^6 - 18/a^4 + 16/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (19*z^2)/a^6 - (44*z^2)/a^4 + (35*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (17*z^4)/a^6 - (46*z^4)/a^4 + (31*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6118] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 
   2*a^8 - 3*z^2 + 16*a^2*z^2 - 21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   12*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6119] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (21*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (21*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6120] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6121] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 10*z^2 + 
   27*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 27*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 6122] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (26*z^2)/a^4 + (14*z^2)/a^2 - z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6123] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 21*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (20*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6124] -> -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 
   3*z^2 + 18*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   13*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6125] -> 
  5/a^8 - 12/a^6 + 8/a^4 + z^2/a^10 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (11*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6, Knot[14, NonAlternating, 6126] -> 
  2/a^10 - 8/a^8 + 12/a^6 - 9/a^4 + 4/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (28*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6127] -> 
  -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 24*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 6128] -> 12 - 4/a^2 - 9*a^2 + a^4 + 
   a^6 + 17*z^2 - (4*z^2)/a^2 - 15*a^2*z^2 + 2*a^6*z^2 + 8*z^4 - z^4/a^2 - 
   9*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 6129] -> 3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 
   6*z^2 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 6130] -> -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 
   4*a^2*z^2 + 9*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 
   7*a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 6131] -> 2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 6132] -> 2 + a^(-10) - 3/a^8 + 2/a^6 + 2/a^4 - 
   3/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 6133] -> 
  -a^(-6) + 3/a^4 - 3/a^2 + 4*a^2 - 2*a^4 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 6134] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 7*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   z^6 - a^4*z^6, Knot[14, NonAlternating, 6135] -> 
  -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 5*z^2 - z^2/a^4 + (6*z^2)/a^2 - 
   2*a^4*z^2 + a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - a^4*z^4 - z^6, 
 Knot[14, NonAlternating, 6136] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 + 
   z^2/a^14 - (8*z^2)/a^12 + (3*z^2)/a^10 + (13*z^2)/a^8 + z^2/a^6 - 
   (4*z^4)/a^12 + (7*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 6137] -> 
  -4*a^4 + 12*a^6 - 7*a^8 - 6*a^4*z^2 + 24*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 
   2*a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - a^10*z^4 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 6138] -> -9 + a^(-8) - 4/a^6 + 3/a^4 + 6/a^2 + 
   4*a^2 - 16*z^2 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 6139] -> -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 
   30*z^2 - (2*z^2)/a^4 + (15*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 6140] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 19*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (30*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 6141] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (25*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 6142] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   23*z^2 + z^2/a^6 - (14*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (10*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 6143] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 31*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 
   18*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - z^4/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 6144] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (25*z^2)/a^6 - (26*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 6145] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 4*z^2 - z^2/a^2 + 18*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 22*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 6146] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6147] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 18*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 + z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6148] -> -1 + 4*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 
   2*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   11*a^2*z^4 - 23*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6149] -> 
  2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 2/a^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (22*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (21*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6150] -> 
  -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   21*a^2*z^2 - 7*a^4*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6151] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 6152] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 6153] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^4 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 6154] -> 
  -2 - a^(-8) + 7/a^6 - 14/a^4 + 11/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (18*z^2)/a^6 - (38*z^2)/a^4 + (26*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (17*z^4)/a^6 - (44*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6155] -> 
  -7 + a^(-2) + 15*a^2 - 10*a^4 + 2*a^6 - 21*z^2 + (3*z^2)/a^2 + 40*a^2*z^2 - 
   22*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (3*z^4)/a^2 + 46*a^2*z^4 - 19*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 27*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 6156] -> 
  -a^(-12) + 6/a^10 - 14/a^8 + 12/a^6 - 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (31*z^2)/a^8 + (38*z^2)/a^6 - (10*z^2)/a^4 + (4*z^4)/a^10 - (27*z^4)/a^8 + 
   (47*z^4)/a^6 - (14*z^4)/a^4 - (10*z^6)/a^8 + (29*z^6)/a^6 - (7*z^6)/a^4 - 
   z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6157] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^16 - (4*z^2)/a^14 - (9*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 - 
   (5*z^4)/a^14 - (2*z^4)/a^12 + (27*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 6158] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 + 
   2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 6159] -> 3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + 
   z^2/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 - 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 6160] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 10*z^2 + 
   27*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 27*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 6161] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (26*z^2)/a^4 + (14*z^2)/a^2 - z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6162] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 21*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (20*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6163] -> -3 - a^(-4) + 4/a^2 - 2*a^2 + 5*a^4 - 
   2*a^6 - 7*z^2 - z^2/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 
   6*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 6164] -> -4 + a^(-8) - 4/a^6 + 4/a^4 + 2/a^2 + 
   2*a^2 - 8*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6165] -> 
  5 - a^(-8) + 3/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 8*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 6166] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 2*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 6167] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 - a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 6168] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 11*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 6169] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6170] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6171] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 6172] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6173] -> -11 + 4/a^2 + 12*a^2 - 4*a^4 - 22*z^2 + 
   (6*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 14*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6174] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 21*z^2 + 
   (4*z^2)/a^4 - (16*z^2)/a^2 - 6*a^2*z^2 + 13*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6175] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + z^2 + 
   z^2/a^8 - (12*z^2)/a^6 + (24*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 - 
   (4*z^4)/a^6 + (16*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6176] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 21*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6177] -> 
  -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 13*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (23*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (17*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6178] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 - a^2*z^2 - 
   2*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 - a^2*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6179] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 10*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (28*z^2)/a^4 + (32*z^2)/a^2 - 10*z^4 + (6*z^4)/a^6 - (27*z^4)/a^4 + 
   (35*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 6180] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6181] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - z^2 + 
   (7*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 + z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + 
   z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6182] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (28*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (24*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6183] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 23*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 19*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 6184] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 + 
   z^4/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 6185] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 
   4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 7*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6186] -> -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 
   30*z^2 - (2*z^2)/a^4 + (15*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 6187] -> 
  -5*a^4 + 16*a^6 - 12*a^8 + 2*a^10 - 12*a^4*z^2 + 40*a^6*z^2 - 20*a^8*z^2 + 
   a^10*z^2 - 9*a^4*z^4 + 36*a^6*z^4 - 11*a^8*z^4 - 2*a^4*z^6 + 14*a^6*z^6 - 
   2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 6188] -> 
  -a^(-12) + 8/a^10 - 16/a^8 + 10/a^6 - z^2/a^12 + (15*z^2)/a^10 - 
   (35*z^2)/a^8 + (22*z^2)/a^6 + (10*z^4)/a^10 - (31*z^4)/a^8 + 
   (15*z^4)/a^6 + (2*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 6189] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 6190] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (25*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 6191] -> -5 + 15*a^2 - 12*a^4 + 3*a^6 - 10*z^2 + 
   32*a^2*z^2 - 25*a^4*z^2 + 6*a^6*z^2 - 6*z^4 + 26*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 6192] -> -a^(-16) + 7/a^14 - 16/a^12 + 11/a^10 + 
   (7*z^2)/a^14 - (34*z^2)/a^12 + (35*z^2)/a^10 + (3*z^2)/a^8 + z^4/a^14 - 
   (22*z^4)/a^12 + (40*z^4)/a^10 + (7*z^4)/a^8 - (4*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 6193] -> 2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 6194] -> 
  1 - a^(-2) + 6*a^2 - 10*a^4 + 7*a^6 - 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 6195] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (17*z^2)/a^10 - (16*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + (10*z^4)/a^10 - 
   (14*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 6196] -> -4*a^4 + 12*a^6 - 7*a^8 - 6*a^4*z^2 + 
   24*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + 3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 6197] -> 
  5/a^8 - 12/a^6 + 8/a^4 + z^2/a^10 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (11*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6, Knot[14, NonAlternating, 6198] -> 
  12 - 4/a^2 - 9*a^2 + a^4 + a^6 + 17*z^2 - (4*z^2)/a^2 - 15*a^2*z^2 + 
   2*a^6*z^2 + 8*z^4 - z^4/a^2 - 9*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 6199] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (9*z^2)/a^8 + 
   (17*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - (6*z^4)/a^8 + (21*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 6200] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   z^4/a^2 + a^2*z^4 + 3*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 6201] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (5*z^2)/a^12 + (14*z^2)/a^10 - (17*z^2)/a^8 + (14*z^2)/a^6 - 
   z^4/a^12 + (12*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 6202] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6203] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6204] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 16*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   13*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6205] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 6206] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 2*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6207] -> 
  -3 - a^(-4) + 4/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 7*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 6208] -> -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - 
   4*a^2*z^2 + 9*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 
   7*a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 6209] -> 2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 6210] -> -4 + a^(-8) - 4/a^6 + 4/a^4 + 2/a^2 + 
   2*a^2 - 8*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6211] -> 
  5 - a^(-8) + 3/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 8*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 6212] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 7*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   z^6 - a^4*z^6, Knot[14, NonAlternating, 6213] -> 
  a^(-14) - 3/a^12 - a^(-10) + 4/a^8 + z^2/a^14 - (8*z^2)/a^12 + 
   (3*z^2)/a^10 + (13*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^12 + (7*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 6214] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 6215] -> 
  -a^2 + 7*a^6 - 5*a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 14*a^6*z^2 - 6*a^8*z^2 - 
   a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 6216] -> 3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   (8*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 6217] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6218] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   4*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 6219] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 + 3*z^2 - 
   (3*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 6220] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^14 - (11*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - 
   (4*z^4)/a^12 + (10*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 6221] -> 
  4 + a^(-10) - 5/a^8 + 9/a^6 - 4/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6222] -> -8 + a^(-8) - 4/a^6 + 4/a^4 + 4/a^2 + 
   4*a^2 - 13*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 6223] -> 
  6 - 2/a^8 + 7/a^6 - 7/a^4 - a^(-2) - 2*a^2 + 10*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + z^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 6224] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   7*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6225] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6226] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 6227] -> 
  2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 4*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 6228] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6229] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 
   2*a^4 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 6230] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 
   2*a^6 + 2*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 6231] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 - a^2*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6232] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   11*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   7*z^4 - (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 6233] -> 2/a^10 - 9/a^8 + 16/a^6 - 
   14/a^4 + 6/a^2 + (3*z^2)/a^10 - (19*z^2)/a^8 + (40*z^2)/a^6 - 
   (35*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (17*z^4)/a^8 + (42*z^4)/a^6 - 
   (34*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6234] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6235] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 6236] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - (6*z^4)/a^8 + (19*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 6237] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 6*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6238] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (4*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6239] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + 
   (8*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 6240] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 6241] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   7*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6242] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + 
   (5*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6243] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + 
   (6*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 6244] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 9*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 6245] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 6246] -> -2 + 8*a^2 - 11*a^4 + 10*a^6 - 
   4*a^8 - 3*z^2 + 18*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   13*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6247] -> 
  2/a^10 - 8/a^8 + 12/a^6 - 9/a^4 + 4/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (28*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6248] -> 
  -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 24*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 6249] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (4*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6250] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6251] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^8 + 
   (16*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 + (7*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 6252] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 6253] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - (5*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6254] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 12*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   5*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6255] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 
   4*z^2 + 12*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 6256] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 6257] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 6258] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 
   4*a^2 - 23*z^2 + z^2/a^6 - (14*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 - (10*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 6259] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 31*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 
   18*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - z^4/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 6260] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (25*z^2)/a^6 - (26*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 6261] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 6262] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 6263] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 6264] -> 
  2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6265] -> 1 - a^(-2) + 6*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 + 4*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 6266] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 
   2/a^6 + 2/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - (16*z^2)/a^8 + 
   (2*z^2)/a^6 + (6*z^2)/a^4 + (10*z^4)/a^10 - (14*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 6267] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 
   10/a^2 - 5*z^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - (33*z^2)/a^4 + 
   (24*z^2)/a^2 - 4*z^4 - z^4/a^8 + (14*z^4)/a^6 - (36*z^4)/a^4 + 
   (23*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (21*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 6268] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (24*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (22*z^4)/a^4 + (6*z^4)/a^2 + (5*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 6269] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 25*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 6270] -> 3 - a^(-2) - 2*a^2 + 3*a^6 - 
   2*a^8 + 6*z^2 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   3*z^4 - 5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 6271] -> 2 + a^(-10) - 3/a^8 + 2/a^6 + 2/a^4 - 
   3/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 6272] -> 
  -a^(-6) + 3/a^4 - 3/a^2 + 4*a^2 - 2*a^4 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 6273] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 4*z^2 - z^2/a^2 + 18*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 22*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 6274] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6275] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 18*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 + z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6276] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (26*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6277] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + (4*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 6278] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 6279] -> -1 + 6*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 
   2*z^2 + 14*a^2*z^2 - 24*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   11*a^2*z^4 - 24*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6280] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 22*z^2 + (6*z^2)/a^2 + 28*a^2*z^2 - 
   8*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6281] -> 2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 6282] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 6283] -> 
  3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + (3*z^2)/a^10 - (20*z^2)/a^8 + 
   (31*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (27*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6284] -> 
  -8 - 2/a^8 + 14/a^6 - 31/a^4 + 28/a^2 - 12*z^2 - (3*z^2)/a^8 + 
   (27*z^2)/a^6 - (63*z^2)/a^4 + (52*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (20*z^4)/a^6 - (56*z^4)/a^4 + (39*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (28*z^6)/a^4 + (14*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6285] -> a^(-14) - 8/a^12 + 25/a^10 - 
   33/a^8 + 16/a^6 + z^2/a^14 - (11*z^2)/a^12 + (45*z^2)/a^10 - 
   (68*z^2)/a^8 + (32*z^2)/a^6 - (4*z^4)/a^12 + (32*z^4)/a^10 - 
   (62*z^4)/a^8 + (24*z^4)/a^6 + (10*z^6)/a^10 - (32*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 6286] -> -8 + 28*a^2 - 31*a^4 + 14*a^6 - 2*a^8 - 
   12*z^2 + 52*a^2*z^2 - 63*a^4*z^2 + 27*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   39*a^2*z^4 - 56*a^4*z^4 + 20*a^6*z^4 - a^8*z^4 - z^6 + 14*a^2*z^6 - 
   28*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 6287] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   26*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (32*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6288] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   34*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 37*z^4 - 
   (3*z^4)/a^4 + (21*z^4)/a^2 + 16*a^2*z^4 - a^4*z^4 - 22*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 6289] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + z^2/a^10 - (9*z^2)/a^8 + (28*z^2)/a^6 - (31*z^2)/a^4 + 
   (12*z^2)/a^2 - (4*z^4)/a^8 + (24*z^4)/a^6 - (38*z^4)/a^4 + (12*z^4)/a^2 + 
   (9*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 6290] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 6291] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 6292] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6293] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6294] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6295] -> 
  a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 8/a^2 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (39*z^2)/a^6 - (39*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (42*z^4)/a^6 - (35*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6296] -> -4 - a^(-8) + 8/a^6 - 18/a^4 + 16/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (19*z^2)/a^6 - (44*z^2)/a^4 + (35*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (46*z^4)/a^4 + (31*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6297] -> 
  -13 + 2/a^6 - 10/a^4 + 18/a^2 + 4*a^2 - 33*z^2 + (3*z^2)/a^6 - 
   (21*z^2)/a^4 + (43*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (45*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6298] -> 4 + a^(-10) - 5/a^8 + 9/a^6 - 4/a^4 - 
   4/a^2 + 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6299] -> -8 + a^(-8) - 4/a^6 + 4/a^4 + 4/a^2 + 
   4*a^2 - 13*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 6300] -> 
  6 - 2/a^8 + 7/a^6 - 7/a^4 - a^(-2) - 2*a^2 + 10*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + z^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 6301] -> -9 + a^(-8) - 4/a^6 + 3/a^4 + 
   6/a^2 + 4*a^2 - 16*z^2 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 6302] -> 
  a^(-18) - 8/a^16 + 23/a^14 - 31/a^12 + 16/a^10 - (5*z^2)/a^16 + 
   (27*z^2)/a^14 - (60*z^2)/a^12 + (48*z^2)/a^10 + (4*z^4)/a^14 - 
   (34*z^4)/a^12 + (56*z^4)/a^10 - (4*z^6)/a^14 + (32*z^6)/a^10 - z^8/a^14 + 
   (5*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 6303] -> 3*a^4 - 5*a^6 + 5*a^8 - a^10 - a^12 + 
   7*a^4*z^2 - 10*a^6*z^2 + 11*a^8*z^2 - a^12*z^2 + 5*a^4*z^4 - 11*a^6*z^4 + 
   7*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 6304] -> 5*a^6 - 10*a^8 + 12*a^10 - 7*a^12 + a^14 + 
   15*a^6*z^2 - 26*a^8*z^2 + 33*a^10*z^2 - 14*a^12*z^2 + a^14*z^2 + 
   16*a^6*z^4 - 33*a^8*z^4 + 35*a^10*z^4 - 8*a^12*z^4 + 7*a^6*z^6 - 
   23*a^8*z^6 + 15*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - 
   a^8*z^10, Knot[14, NonAlternating, 6305] -> a^(-14) - 6/a^12 + 11/a^10 - 
   10/a^8 + 4/a^6 + a^(-4) - (7*z^2)/a^12 + (25*z^2)/a^10 - (24*z^2)/a^8 + 
   (6*z^2)/a^6 + (6*z^2)/a^4 - z^4/a^12 + (17*z^4)/a^10 - (24*z^4)/a^8 - 
   z^4/a^6 + (5*z^4)/a^4 + (3*z^6)/a^10 - (12*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 6306] -> 
  4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6307] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 6308] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 
   z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 6309] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 6310] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 6311] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + z^4/a^2 + 3*a^4*z^4 - 
   2*a^6*z^4 - z^6 + a^4*z^6, Knot[14, NonAlternating, 6312] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 6*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (12*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6313] -> 3*a^4 - 5*a^6 + 5*a^8 - a^10 - a^12 + 
   7*a^4*z^2 - 8*a^6*z^2 + 7*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 6314] -> a^(-4) - a^(-2) + a^2 + a^4 - 2*a^6 + 
   a^8 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 - 
   z^4/a^2 + a^4*z^4, Knot[14, NonAlternating, 6315] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (3*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 6316] -> a^2 - a^6 + 2*a^8 - a^12 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4, Knot[14, NonAlternating, 6317] -> 3 + a^(-6) - 2/a^4 + a^(-2) - 
   4*a^2 + 2*a^4 + 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 6*a^2*z^2 + a^4*z^2 + 
   4*z^4 + z^4/a^6 - (4*z^4)/a^4 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 6318] -> 1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   2*z^2 + a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   2*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 6319] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 
   4*a^4 - 3*a^6 + a^8 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 6320] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^8 + a^10 - a^12 + 3*a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 - a^4*z^6, Knot[14, NonAlternating, 6321] -> 
  4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6322] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6323] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 
   z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 6324] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 6325] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 6326] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 + 
   2*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 6327] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 
   2*a^4 + 5*z^2 - (3*z^2)/a^4 - 9*a^2*z^2 + 2*a^4*z^2 + 8*z^4 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 6328] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 6329] -> a^(-6) - 2/a^4 + 2/a^2 - a^4 + a^6 + 
   z^2/a^6 - (3*z^2)/a^4 - 2*a^4*z^2 + z^4 - z^4/a^4 + a^2*z^4, 
 Knot[14, NonAlternating, 6330] -> -6 + 3/a^2 + 7*a^2 - 4*a^4 + a^8 - 
   11*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   5*z^4 + 9*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6331] -> 1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   2*z^2 + a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   2*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 6332] -> -2 + 8*a^2 - 10*a^4 + 8*a^6 - 
   3*a^8 - 5*z^2 + 19*a^2*z^2 - 22*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 6333] -> a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + 
   a^(-6) + 2/a^4 - (5*z^2)/a^12 + (16*z^2)/a^10 - (13*z^2)/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 + (10*z^4)/a^10 - (13*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 6334] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 4*a^4 - 
   3*a^6 + a^8 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 6335] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 6336] -> 
  -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 19*a^2*z^2 - 22*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 6337] -> 2 - 2*a^2 + a^4 + z^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 6338] -> 
  a^(-2) - a^2 + a^4 - z^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 6339] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 10*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6340] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 + 2*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 6341] -> 
  2*a^2 - a^4 - 4*z^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6342] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 + z^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 6343] -> -3 + a^(-4) + 4*a^2 - a^4 - 5*z^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 6344] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 
   4*z^2 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6345] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*z^4 - 5*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 6346] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 6347] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 
   5*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   10*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 6348] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 6349] -> 
  -2/a^10 + a^(-8) + 3/a^6 - 2/a^4 + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6350] -> -a^(-10) - a^(-8) + 4/a^6 - 2/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6351] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6352] -> 3*a^2 - 7*a^4 + 10*a^6 - 6*a^8 + a^10 + 
   6*a^2*z^2 - 20*a^4*z^2 + 28*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 
   27*a^4*z^4 + 29*a^6*z^4 - 7*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 6353] -> a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (25*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (23*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 6354] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   6*a^2*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6355] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + z^4 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6356] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   (4*z^2)/a^6 - z^2/a^4 + a^2*z^2 - z^4 - (2*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 6357] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6358] -> 2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 6359] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 3*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6360] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 6361] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6362] -> -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 
   2/a^2 - z^2/a^10 + z^2/a^8 + (12*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 6363] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   a^4*z^2 - 5*z^4 + (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 6364] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6365] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6366] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6367] -> 1 - a^(-10) + 2/a^6 - a^(-2) + 3*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6368] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + 
   (4*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, NonAlternating, 6369] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 6370] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6371] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 6372] -> 
  4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 + 12*a^6*z^2 - 14*a^8*z^2 + 
   17*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 11*a^6*z^4 - 16*a^8*z^4 + 
   17*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 9*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, 
 Knot[14, NonAlternating, 6373] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6374] -> a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 
   4*a^12 + a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 9*a^10*z^2 - 
   4*a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 5*a^10*z^4 - a^6*z^6 - 
   2*a^8*z^6, Knot[14, NonAlternating, 6375] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 6376] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6377] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   12*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 6378] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6379] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 6380] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6381] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 6*z^2 - (6*z^2)/a^4 + (15*z^2)/a^2 - 
   5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (22*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 6382] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 4*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 6383] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6384] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 6385] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6386] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 6387] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6388] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6389] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 
   11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 12*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 6390] -> -9 + 4/a^2 + 7*a^2 + a^4 - 
   3*a^6 + a^8 - 16*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   10*z^4 + z^4/a^2 + 12*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 2*z^6 + 6*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 6391] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 6392] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 6393] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - a^6*z^2 - 9*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 6394] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 6395] -> 4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 
   4*z^2 + z^2/a^6 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6396] -> 2 - 2*a^2 + a^4 + 2*z^2 - 
   5*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 6397] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   3*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 6398] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6399] -> 
  7*a^8 - 8*a^10 + 2*a^12 + 20*a^8*z^2 - 13*a^10*z^2 + 2*a^12*z^2 - 
   a^14*z^2 + 20*a^8*z^4 - 5*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 
   a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 6400] -> 
  3*a^6 - a^8 - a^10 + 7*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + 5*a^6*z^4 + 4*a^8*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 6401] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 6402] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + z^2/a^2 + a^4*z^2 - a^6*z^2 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 6403] -> 
  4*a^4 - 4*a^6 + a^8 + 7*a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + 3*a^4*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 
   2*a^8*z^6, Knot[14, NonAlternating, 6404] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 17*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6405] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 17*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6406] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4 + 
   2*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 6407] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6408] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6409] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   4*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 4*a^6*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6410] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 6411] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 6412] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + 4*a^2*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 6413] -> a^2 + a^4 - a^6 + 3*a^4*z^2 - 
   2*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 6414] -> 
  5*a^8 - 4*a^10 + 18*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 
   20*a^8*z^4 - 3*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^12*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 6415] -> a^6 + 3*a^8 - 3*a^10 + 
   5*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 - a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 6416] -> 
  -2/a^6 + 3/a^4 - 3*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 6417] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6418] -> 
  2*a^4 - a^8 + 4*a^4*z^2 - a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 6419] -> a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + z^2/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 6420] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 6421] -> 
  1 + z^2 - z^2/a^6 + z^2/a^2 - a^4*z^2 + 2*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   a^2*z^4, Knot[14, NonAlternating, 6422] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   16*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6423] -> 3 - 5*a^2 + 4*a^4 - a^6 + 2*z^2 - 
   5*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6424] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   3*a^2*z^2 - 8*a^4*z^2 + 15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 12*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 6425] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - z^4 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6426] -> 
  1 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 6427] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - (3*z^2)/a^2 + a^2*z^2 - a^6*z^2 + 2*z^4 + 
   2*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 6428] -> 
  -2/a^6 + 3/a^4 - 4*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^6 + (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 6429] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6430] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^4 + (3*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 6431] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6432] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6433] -> -2 + 10*a^2 - 12*a^4 + 6*a^6 - a^8 - 
   7*z^2 + 28*a^2*z^2 - 35*a^4*z^2 + 16*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   29*a^2*z^4 - 41*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 6434] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   14*z^2 - z^2/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 6435] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - 
   a^4 - 28*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 
   25*z^4 - z^4/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6436] -> -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 
   8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   5*z^4 + (4*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 6437] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^4, 
 Knot[14, NonAlternating, 6438] -> 4 - a^(-2) - a^2 - 4*a^4 + 4*a^6 - a^8 + 
   9*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   8*z^4 - z^4/a^2 - 5*a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 6439] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 7*z^2 + (2*z^2)/a^4 + 
   7*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 6440] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 6441] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6442] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (21*z^2)/a^4 + (13*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6443] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 
   6*z^2 + 24*a^2*z^2 - 29*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   27*a^2*z^4 - 37*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 
   24*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 6444] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   20*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + 
   (5*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 6445] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + 
   a^6 - 12*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   z^4/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6446] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 19*z^2 + (3*z^2)/a^2 + 34*a^2*z^2 - 
   17*a^4*z^2 + 2*a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 41*a^2*z^4 - 16*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + z^6/a^2 + 25*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 6447] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (4*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6448] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   17*a^2*z^2 - 17*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 12*a^2*z^4 - 
   13*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 6449] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 
   23*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 19*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 5*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6450] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   31*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 39*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 17*a^2*z^4 - a^4*z^4 - 25*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 6451] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6452] -> 
  3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 6453] -> 
  -4 - a^(-6) + 3/a^4 + 3*a^2 - 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 6454] -> -5 - a^(-4) + 5/a^2 + 3*a^4 - a^6 - 
   11*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   9*z^4 - z^4/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 6455] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 3*z^4 - (3*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 6456] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 28*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - z^4/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6457] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 6458] -> 2 + a^(-4) - 2/a^2 - 2*z^2 + a^2*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6459] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 5*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 6460] -> 
  a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (25*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (33*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6461] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6462] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 
   2*a^6 - 13*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   9*z^4 + z^4/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 2*z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6463] -> 
  1 - a^2 + 2*a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 6464] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 6465] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6466] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6467] -> 
  1 - a^2 + 2*a^4 - a^6 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + 5*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6468] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + (2*z^4)/a^4 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 6469] -> a^(-4) - a^(-2) + 3*a^2 - 
   4*a^4 + 2*a^6 - 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 6470] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*z^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 6471] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 6472] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 6473] -> 3 + a^(-10) - 3/a^8 + 4/a^6 - 
   a^(-4) - 3/a^2 + 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 6474] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 4*z^2 + z^2/a^2 + a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 6475] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6476] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - 
   z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6477] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 
   13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6478] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   18*z^2 + z^2/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (6*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6479] -> a^(-10) - 3/a^8 + 6/a^6 - 
   8/a^4 + 5/a^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + 
   (7*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6480] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   19*z^2 + (6*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6481] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   17*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6482] -> -7 + 2/a^6 - 6/a^4 + 9/a^2 + 3*a^2 - 
   24*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (35*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6483] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 6484] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6485] -> 2 + a^(-4) - 2/a^2 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6486] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 6487] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 - (4*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 6488] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6489] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 6490] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 6491] -> -5 + a^(-8) - 2/a^6 + a^(-4) + 
   3/a^2 + 3*a^2 - 13*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 6492] -> 
  1 + a^6 - 2*a^8 + a^10 + z^2 - 2*a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 
   a^2*z^4 + a^6*z^4, Knot[14, NonAlternating, 6493] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 6494] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 6495] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6496] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 6/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (30*z^2)/a^6 - (32*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (37*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 6497] -> 
  -4 + a^(-8) - 2/a^6 + 4/a^2 + 2*a^2 - 8*z^2 + z^2/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^6 + (5*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6498] -> 
  a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (23*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 6499] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6500] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 6501] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6502] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (27*z^2)/a^4 + (20*z^2)/a^2 - 2*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (26*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 6503] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 6504] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 6505] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6506] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 6507] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (27*z^2)/a^4 + (20*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (26*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 6508] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6509] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 
   2*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6510] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 6511] -> 
  -4 + a^(-8) - a^(-6) - 2/a^4 + 5/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6512] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6513] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   6*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 6514] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6515] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 6516] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 12*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 6517] -> a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6518] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6519] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6520] -> -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 3*z^4 + 3*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 6521] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (5*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6522] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   16*z^2 + (5*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6523] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 9*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 6524] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 6525] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   3*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - 4*z^4 + 12*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6526] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 - 
   a^4*z^2 + 15*a^6*z^2 - 15*a^8*z^2 + 5*a^10*z^2 - 3*a^4*z^4 + 14*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - a^4*z^6 + 6*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6527] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6528] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6529] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 22*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 6530] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, NonAlternating, 6531] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4/a^2 + 2*a^2*z^4, 
 Knot[14, NonAlternating, 6532] -> -5 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + 
   3*a^2 - 10*z^2 - (3*z^2)/a^6 + (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6533] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 
   6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + z^4/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 6534] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6535] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   5*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + z^4 - 3*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 6536] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 6537] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 
   2*a^2 + a^4 + 7*z^2 - z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   9*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6538] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 6539] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6540] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - 
   2*a^2*z^2 + 8*a^4*z^2 - 7*a^8*z^2 + 4*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 6541] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 6542] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   13*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 6543] -> -3/a^8 + 7/a^6 - 6/a^4 + 
   3/a^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6544] -> 8*a^6 - 13*a^8 + 8*a^10 - 2*a^12 - 
   5*a^4*z^2 + 30*a^6*z^2 - 35*a^8*z^2 + 16*a^10*z^2 - 2*a^12*z^2 - 
   10*a^4*z^4 + 38*a^6*z^4 - 35*a^8*z^4 + 9*a^10*z^4 - 6*a^4*z^6 + 
   24*a^6*z^6 - 15*a^8*z^6 + a^10*z^6 - a^4*z^8 + 8*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 6545] -> 1 + a^2 - 3*a^4 + 3*a^6 - 
   a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 6546] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (19*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6547] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6548] -> 2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6549] -> -3 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + 
   2*a^2 - 7*z^2 + z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6550] -> 
  2 + a^(-4) - 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 6551] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 6*z^2 - 
   15*a^2*z^2 + 13*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 14*a^2*z^4 + 
   5*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 6552] -> 4 + 3/a^4 - 6/a^2 + 3*z^2 - (2*z^2)/a^8 + 
   z^2/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 6553] -> 2 - 4*a^4 + 4*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 6554] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 6555] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 
   3*a^10*z^2 + 4*a^6*z^4 - 3*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 6556] -> -5 - 4/a^4 + 9/a^2 + a^2 - 9*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 6557] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - 
   a^4*z^2 + 15*a^6*z^2 - 14*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 
   13*a^6*z^4 - 10*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 6558] -> -4/a^8 + 11/a^6 - 11/a^4 + 
   5/a^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (32*z^2)/a^6 - (29*z^2)/a^4 + 
   (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + (36*z^4)/a^6 - (31*z^4)/a^4 + 
   (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6559] -> -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 6560] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6561] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 6562] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 6563] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 6564] -> -4 + a^(-8) - a^(-6) - 2/a^4 + 5/a^2 + 
   2*a^2 - 7*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + (5*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 6565] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 6566] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 
   2*z^2 + z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 6567] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6568] -> 
  2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 2/a^2 + z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6569] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + z^6/a^6, Knot[14, NonAlternating, 6570] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 5*a^2*z^2 + 3*a^6*z^2 + z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 6571] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 15*z^2 + 
   (6*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6572] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6573] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6, Knot[14, NonAlternating, 6574] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6575] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   3*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - z^4 + 2*a^2*z^4 - 4*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 6576] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6577] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 6578] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 8*z^4 + 26*a^2*z^4 - 24*a^4*z^4 + 6*a^6*z^4 - 
   5*z^6 + 19*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 6579] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   7*z^2 + z^2/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 6580] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 
   2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   8*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 6581] -> 
  -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6582] -> 
  7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 - 4*a^4*z^2 + 27*a^6*z^2 - 30*a^8*z^2 + 
   13*a^10*z^2 - a^12*z^2 - 10*a^4*z^4 + 36*a^6*z^4 - 32*a^8*z^4 + 
   7*a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 14*a^8*z^6 + a^10*z^6 - a^4*z^8 + 
   8*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 6583] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 6584] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 6585] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - 
   a^12 - a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 5*a^10*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 6586] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 17*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (6*z^4)/a^4 + 
   (17*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6587] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 6588] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (23*z^2)/a^2 + a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (17*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6589] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 - 
   2*a^4*z^2 + 19*a^6*z^2 - 19*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 3*a^4*z^4 + 
   16*a^6*z^4 - 13*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 6590] -> -4/a^8 + 10/a^6 - 9/a^4 + 
   4/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (33*z^4)/a^6 - (31*z^4)/a^4 + 
   (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6591] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6592] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 - a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 3*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 6593] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 6594] -> 
  6*a^2 - 10*a^4 + 6*a^6 - a^8 - 3*z^2 + 15*a^2*z^2 - 23*a^4*z^2 + 
   9*a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 16*a^4*z^4 + 2*a^6*z^4 - z^6 + 
   6*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6595] -> 
  2 - 3*a^4 + 2*a^6 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 - z^4/a^2 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 6596] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 14*z^2 + 
   (5*z^2)/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 13*z^4 + (4*z^4)/a^2 + 
   5*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6597] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 5*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6598] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + 2*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 6599] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6600] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4 + 3*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 6601] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6602] -> -4 + 3/a^2 + a^2 + a^4 - 
   7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 6603] -> -3/a^8 + 8/a^6 - 8/a^4 + 
   4/a^2 + z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (18*z^2)/a^4 + 
   (7*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6604] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + 4*a^10*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6605] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   16*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 25*z^4 + 
   (8*z^4)/a^2 + 25*a^2*z^4 - 6*a^4*z^4 - 19*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 6606] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 6607] -> -3 + a^(-4) + 4*a^2 - a^4 - 
   7*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   z^4/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 6608] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 8*z^2 - (3*z^2)/a^6 - 
   z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 6609] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - z^4/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 6610] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^6 + (2*z^4)/a^4, 
 Knot[14, NonAlternating, 6611] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 6612] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + 4*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 6613] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   6*z^2 + (2*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 6614] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 6615] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 15*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6616] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 6617] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 6618] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 - 
   z^2 + a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 6619] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 17*z^2 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6620] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6621] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 6622] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 11*a^4*z^2 + 
   15*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 7*a^2*z^4 - 22*a^4*z^4 + 22*a^6*z^4 - 
   6*a^8*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 6623] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 6624] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6625] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^2 + z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 6626] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 
   4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 6627] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 4*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6628] -> -3 - a^(-4) + 4/a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (3*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 6629] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - z^4 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 6630] -> -7 + 3/a^2 + 6*a^2 - a^6 - 
   17*z^2 + (6*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6631] -> -4 - 3/a^4 + 7/a^2 + a^2 - 7*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 6632] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 6633] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6634] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 
   20*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6635] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6636] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6637] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   10*z^2 + z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 6638] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6639] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6640] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6641] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - 2*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6642] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 21*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 6643] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 6644] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 6645] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6646] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 6647] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 6648] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   3*z^2 - 5*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6649] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 6650] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6651] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 6652] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 19*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6653] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   19*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 6654] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 6655] -> 
  a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 4/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (6*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 - (4*z^4)/a^14 - z^4/a^12 + 
   (15*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 6656] -> -2 + 4*a^2 - a^8 - 3*z^2 + 5*a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 + 6*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 6657] -> 3 - a^(-6) + a^(-4) - a^(-2) - a^4 + 
   5*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 6658] -> 
  a^(-16) - 2/a^14 + 2/a^6 - (3*z^2)/a^14 + (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (5*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 6659] -> 2 - a^(-2) - a^2 + 2*a^4 - a^8 + 2*z^2 - 
   z^2/a^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4, Knot[14, NonAlternating, 6660] -> a^(-12) - 2/a^10 - a^(-8) + 
   2/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 6661] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 4*z^2 + 6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 8*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 6662] -> 
  a^(-16) - 5/a^12 + 2/a^10 + 3/a^8 + (2*z^2)/a^16 - (6*z^2)/a^14 - 
   (8*z^2)/a^12 + (11*z^2)/a^10 + (10*z^2)/a^8 - (6*z^4)/a^14 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 6663] -> -2 + 2*a^2 + 6*a^4 - 6*a^6 + a^8 - 5*z^2 + 
   6*a^2*z^2 + 14*a^4*z^2 - 10*a^6*z^2 + a^8*z^2 - 4*z^4 + 8*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 6664] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 6665] -> -2/a^4 + 2/a^2 + 4*a^2 - 3*a^4 + 5*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 9*z^4 - z^4/a^4 + 
   z^4/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 6666] -> a^(-14) - 2/a^12 + a^(-10) - 
   3/a^8 + 4/a^6 - z^2/a^12 - (4*z^2)/a^8 + (10*z^2)/a^6 + (2*z^4)/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 6667] -> -2 - a^(-6) - 3/a^4 + 8/a^2 - a^2 - 
   4*z^2 - (4*z^2)/a^6 + (17*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 - z^6/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 6668] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 6669] -> 
  a^(-12) - 3/a^10 + 2/a^8 + a^(-2) - (2*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 6670] -> 
  2 - a^(-6) + a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + 5*z^2 - z^2/a^6 + z^2/a^4 + 
   4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 6671] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - z^2/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 6672] -> 
  a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 4/a^8 - (2*z^2)/a^14 - 
   (5*z^2)/a^12 + (3*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - z^4/a^14 - 
   z^4/a^12 + (9*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 6673] -> 
  -2 + 4*a^2 - a^8 - z^2 - z^2/a^2 + 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 6674] -> -1 - a^2 + 8*a^4 - 5*a^6 - 4*z^2 + 
   2*a^2*z^2 + 17*a^4*z^2 - 8*a^6*z^2 - 4*z^4 + 7*a^2*z^4 + 14*a^4*z^4 - 
   5*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 6675] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 + 
   z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 6676] -> 2 - a^(-4) - a^(-2) + 5*a^2 - 4*a^4 + 
   8*z^2 - (3*z^2)/a^4 - z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 12*z^4 - 
   z^4/a^4 + 13*a^2*z^4 - 5*a^4*z^4 + 6*z^6 + 6*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 6677] -> a^(-12) - a^(-10) - 4/a^8 + 
   5/a^6 + (2*z^2)/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^12 - 
   (4*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 6678] -> -3 - 2/a^6 + 6/a^2 - 7*z^2 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 6679] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 
   2*z^2 - z^2/a^2 + 7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + z^4 - z^4/a^2 + 
   6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6680] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) - z^2/a^10 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 6681] -> 3 - 2/a^4 + a^(-2) + a^2 - 2*a^4 + 8*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 6682] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 - (4*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 6683] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 6684] -> 3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + 
   (5*z^2)/a^12 - (19*z^2)/a^10 + (16*z^2)/a^8 + (4*z^2)/a^6 + (4*z^4)/a^12 - 
   (15*z^4)/a^10 + (13*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 6685] -> 
  -4*a^2 + 10*a^4 - 4*a^6 - a^8 - 11*a^2*z^2 + 26*a^4*z^2 - 3*a^6*z^2 - 
   4*a^8*z^2 - 9*a^2*z^4 + 26*a^4*z^4 + 3*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 
   12*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 6686] -> 3/a^16 - 5/a^14 - 4/a^12 + 7/a^10 + 
   (6*z^2)/a^16 - (22*z^2)/a^14 - z^2/a^12 + (28*z^2)/a^10 + (2*z^4)/a^16 - 
   (24*z^4)/a^14 + (16*z^4)/a^12 + (42*z^4)/a^10 - (9*z^6)/a^14 + 
   (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 6687] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (2*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (3*z^4)/a^10 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 6688] -> -1 + 5*a^4 - 2*a^6 - a^8 - 3*z^2 + 
   2*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   9*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 6689] -> 2/a^16 - 3/a^14 - 3/a^12 + 3/a^10 + 
   2/a^8 + (2*z^2)/a^16 - (9*z^2)/a^14 - (5*z^2)/a^12 + (14*z^2)/a^10 + 
   (8*z^2)/a^8 - (7*z^4)/a^14 + (3*z^4)/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 6690] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + (6*z^4)/a^6 - 
   z^6/a^10 + z^6/a^6, Knot[14, NonAlternating, 6691] -> 
  a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 + z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 6692] -> -2 + 2*a^2 + 6*a^4 - 6*a^6 + a^8 - 5*z^2 + 
   6*a^2*z^2 + 14*a^4*z^2 - 10*a^6*z^2 + a^8*z^2 - 4*z^4 + 8*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 6693] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 6694] -> -2/a^4 + 2/a^2 + 4*a^2 - 3*a^4 + 5*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 9*z^4 - z^4/a^4 + 
   z^4/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 6695] -> a^(-14) - 2/a^12 + a^(-10) - 
   3/a^8 + 4/a^6 - z^2/a^12 - (4*z^2)/a^8 + (10*z^2)/a^6 + (2*z^4)/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 6696] -> -2 - a^(-6) - 3/a^4 + 8/a^2 - a^2 - 
   4*z^2 - (4*z^2)/a^6 + (17*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 - z^6/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 6697] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 2/a^2 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - (4*z^4)/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 + z^6/a^6, Knot[14, NonAlternating, 6698] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6699] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6700] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 
   6*z^2 + 22*a^2*z^2 - 25*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   18*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 6701] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 6702] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 17*z^2 + (3*z^2)/a^2 + 30*a^2*z^2 - 
   15*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 4*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 6703] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   14*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 31*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 6704] -> -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 
   4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 6705] -> 3 - a^(-2) + a^2 - 5*a^4 + 4*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   6*z^4 - z^4/a^2 - a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 6706] -> 
  -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 6*z^2 + 22*a^2*z^2 - 25*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 18*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 5*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 6707] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 6708] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 
   17*z^2 + (3*z^2)/a^2 + 30*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 27*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 4*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 6709] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 14*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 
   14*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 6710] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + z^2/a^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6711] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   4*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6712] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6713] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6714] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6715] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6716] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 6717] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6718] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 - 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 6719] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 
   4*a^6*z^2 - 5*z^4 + 15*a^2*z^4 - 8*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 6720] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 7*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 6721] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 6722] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6723] -> a^(-10) - 3/a^8 + 7/a^6 - 10/a^4 + 6/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (31*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (36*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 6724] -> 
  2*a^2 - a^6 - a^8 + a^10 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 
   2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6725] -> 3 + a^(-10) - 2/a^8 + 2/a^6 - 3/a^2 + 
   4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6726] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 6727] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 6728] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6729] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 
   7*a^2*z^2 - 16*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 
   16*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 6730] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   15*z^4 + (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6731] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 6*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (29*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (15*z^4)/a^6 - 
   (37*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 6732] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 18*z^2 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - a^6*z^2 - 16*z^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 + a^4*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6733] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   8*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   z^4/a^4 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6734] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   z^2 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6735] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - z^4 + 3*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 6736] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + 7*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 6737] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 6738] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6739] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   4*z^4 + 12*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 6740] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6741] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 
   3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 6742] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6743] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   6*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6744] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (20*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 6745] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   13*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6746] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 6747] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6748] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 
   a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 6749] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 6750] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 
   a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 
   3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6751] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (29*z^2)/a^6 - (28*z^2)/a^4 + (10*z^2)/a^2 + 
   (2*z^4)/a^10 - (17*z^4)/a^8 + (35*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (8*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 6752] -> 
  4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 6753] -> 2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6754] -> 2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 - 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 6755] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^2 + 
   a^2 - 2*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 6756] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (24*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 6757] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (27*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 6758] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (20*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 6759] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   13*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6760] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 6761] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 6762] -> 1 - z^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 6763] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6764] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (7*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6765] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 13*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (5*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6766] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 16*z^2 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6767] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (25*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (33*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6768] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + 
   a^8*z^4 - 2*a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 6769] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 3*z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 6770] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6771] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 11*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6772] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   9*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6773] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6774] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 6775] -> 
  1 - a^2 + 2*a^4 - a^6 - 7*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 13*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   7*z^6 + z^6/a^2 + 5*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 6776] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 - z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6777] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   6*z^2 - z^2/a^4 - z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 4*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 6778] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 
   13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6779] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   11*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6780] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 + 
   3*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 6781] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6782] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (24*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 6783] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6784] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6785] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 
   3*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 6786] -> 
  -4 + a^(-8) - a^(-6) + 2/a^2 + 3*a^2 - 10*z^2 - (3*z^2)/a^6 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 6787] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 6788] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 6789] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + a^8*z^2 + 
   z^4 - 5*a^2*z^4 - a^6*z^4 - a^2*z^6, Knot[14, NonAlternating, 6790] -> 
  a^(-2) - a^6 + a^8 - 2*z^2 - 2*a^6*z^2 + a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 6791] -> a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 6792] -> 1 + a^(-4) - a^(-2) - a^4 + 
   a^6 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 6793] -> 1 + 2*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 6794] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 6795] -> 
  a^(-4) - a^(-2) + a^2 + z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 
   3*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6796] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6797] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (11*z^2)/a^10 - (17*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (10*z^4)/a^10 - (19*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 6798] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 6*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   5*z^4 + z^4/a^4 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 6799] -> 
  3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 6800] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 6801] -> 
  -2 + a^(-8) - a^(-6) - 2/a^4 + 4/a^2 + a^2 - 3*z^2 - (2*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 + z^4/a^4 + (2*z^4)/a^2, 
 Knot[14, NonAlternating, 6802] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 6803] -> 
  3 + a^(-10) - 2/a^8 + 2/a^6 - 3/a^2 + 4*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 + (10*z^4)/a^4 - (10*z^4)/a^2 + 
   (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 6804] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 - a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 - a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 6805] -> 2 - a^2 - a^4 + a^6 + 7*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 6806] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   2*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   8*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 6807] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6808] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - z^4/a^2 + 9*a^2*z^4 - 
   6*a^4*z^4 + z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 6809] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 9*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6810] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 6811] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - z^4 + (5*z^4)/a^6 - (14*z^4)/a^4 + 
   (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6812] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (13*z^2)/a^10 - (18*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 6813] -> -6 + 3/a^2 + 4*a^2 + a^4 - 
   a^6 - 14*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6814] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6815] -> a^(-10) - 3/a^8 + 6/a^6 - 8/a^4 + 5/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (33*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 6816] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 6817] -> 1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6818] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 6819] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6820] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (11*z^2)/a^10 - (15*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^2)/a^4 + (10*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 6821] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6822] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6823] -> 
  -5 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + 3*a^2 - 15*z^2 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6824] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 + z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 6825] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 6826] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 6827] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   2*z^2 + z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - z^4 - a^2*z^4 + 
   a^4*z^4, Knot[14, NonAlternating, 6828] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 
   4*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 6829] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 5*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6830] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 6831] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6832] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 - (3*z^4)/a^2 - a^4*z^4 + 
   2*z^6 + a^2*z^6, Knot[14, NonAlternating, 6833] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 6834] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 7*a^4*z^2 - 7*a^6*z^2 + 7*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 6835] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 6836] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 6837] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   4*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + z^4/a^4 + 5*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 6838] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^4 - (8*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 6839] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 6840] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6841] -> 
  3*a^2 - 3*a^4 + a^6 + 5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 
   2*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 6842] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 8*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6843] -> -a^(-4) + 2/a^2 - 5*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6844] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 17*z^2 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6845] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - 
   (28*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (34*z^4)/a^6 - 
   (31*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6846] -> 1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 6847] -> -3 + a^(-2) + 4*a^2 - a^6 - 
   11*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - a^6*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6848] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 11*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^4 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6849] -> -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6850] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6851] -> 2 - 2*a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6852] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 - a^4*z^4 + 9*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6853] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (13*z^2)/a^10 - (16*z^2)/a^8 + (4*z^2)/a^6 + 
   (6*z^2)/a^4 + (8*z^4)/a^10 - (15*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 6854] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6855] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^8 + (7*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   z^4/a^8 - z^4/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 6856] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6857] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6858] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 6859] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   3*z^2 + z^2/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 6860] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6861] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 
   (6*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6862] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6863] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6864] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6865] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6866] -> a^2 + a^6 - a^8 - z^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6867] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 
   6*z^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - (30*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (19*z^4)/a^6 - (38*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   (8*z^6)/a^6 - (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 6868] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 6869] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - 
   a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 6870] -> -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 
   6*z^2 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 6871] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6872] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   12*a^6*z^2 - 12*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 12*a^6*z^4 - 
   10*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6873] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6874] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 + 
   6*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 6875] -> 
  a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 6/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (31*z^2)/a^6 - (32*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (37*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6876] -> 1 - a^2 + a^4 + a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 + a^6*z^2 + 2*a^8*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 6877] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 6878] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 13*z^2 + z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 + z^4/a^4 + (2*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6879] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6880] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6881] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 6882] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6883] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 6884] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 6885] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + 
   a^4 - 7*z^2 + z^2/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   5*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6886] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 6887] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 8*z^2 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6888] -> 
  -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - z^2 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^4 - z^4/a^2 - 
   z^6/a^2, Knot[14, NonAlternating, 6889] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 6890] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 11*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 6891] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (25*z^2)/a^4 + (15*z^2)/a^2 - z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 6892] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   21*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6893] -> 2*a^4 - a^8 + 2*a^4*z^2 + 6*a^6*z^2 - 
   7*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 8*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 6894] -> 1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 - 
   8*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 6895] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   11*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 6896] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 9*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6897] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 2*z^2 + 
   a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 12*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6898] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 
   5*z^2 - z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + z^4/a^4 + 5*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[14, NonAlternating, 6899] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 5*z^2 - 11*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 6900] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - a^4*z^2 + 
   z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 6901] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 - (23*z^2)/a^8 + (13*z^2)/a^6 + (3*z^2)/a^4 + 
   (11*z^4)/a^10 - (24*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 6902] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 6903] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - 2*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^4 + (3*z^4)/a^2, 
 Knot[14, NonAlternating, 6904] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (5*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 6905] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 
   6*a^8*z^2 - z^4 + 3*a^4*z^4 - 6*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 6906] -> -3 - a^(-4) + 4/a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 6907] -> 3*a^2 - 4*a^4 + 2*a^6 + a^8 - a^10 + 
   6*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 6908] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 6909] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + 
   z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 6910] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 4*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (23*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 6911] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 + 
   4*a^2*z^2 + a^6*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 - a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 6912] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6913] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - z^6 + 6*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6914] -> -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6915] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   5*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6916] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (26*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (33*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 6917] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 6918] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (10*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (16*z^4)/a^8 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 6919] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 - a^2*z^2 + 10*a^4*z^2 - 12*a^6*z^2 + 
   10*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 9*a^4*z^4 - 12*a^6*z^4 + 5*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 6920] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 6921] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 2*z^2 + (5*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 6922] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + z^4/a^6 + (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 6923] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 7*z^2 - z^2/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6924] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - a^4*z^2 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 6925] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 9*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 6926] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 6927] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6928] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 
   5*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 6929] -> 
  -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 + 5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 6930] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 
   5*z^2 - z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^4 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 6931] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 6*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + 
   z^4/a^4 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 6932] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^4 - (10*z^2)/a^2 - 
   z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 6933] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6934] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - z^4 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 6935] -> 
  4 + 3/a^4 - 6/a^2 + 3*z^2 - z^2/a^8 + (6*z^2)/a^4 - (11*z^2)/a^2 - 
   z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 6936] -> 1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + z^2 + 
   4*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6937] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 - z^4/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 6938] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + 
   a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6939] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 6940] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 6941] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 6942] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   6*z^2 - (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 6943] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   4*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 6944] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6945] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 6946] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 + z^4/a^4 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 6947] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 + 4*a^6*z^4 - 3*a^8*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 6948] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   4*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + z^4/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 6949] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6950] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 6951] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 6952] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 6953] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 7*a^2*z^2 - 18*a^4*z^2 + 19*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 27*a^4*z^4 + 23*a^6*z^4 - 6*a^8*z^4 + 
   5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 6954] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6955] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 6956] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6957] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 6958] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6959] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 6960] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   3*z^2 - 6*a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 7*a^2*z^4 - 
   2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 6961] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (9*z^2)/a^4 - z^4/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6962] -> a^(-2) - a^4 + a^6 - 3*z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 6963] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 6964] -> 5*a^6 - 7*a^8 + 5*a^10 - 
   2*a^12 + 14*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 
   12*a^6*z^4 - 11*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 6965] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6966] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 6967] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 6968] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (10*z^2)/a^2 - z^4 + (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6969] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 14*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6970] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6971] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (29*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 6972] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 - 5*z^2 + 15*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 15*a^2*z^4 - 
   8*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6973] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   6*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 6974] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6975] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   5*z^2 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   z^6, Knot[14, NonAlternating, 6976] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 6977] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 6978] -> 1 + a^(-8) - 2/a^6 + a^(-4) - 
   (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 6979] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 6980] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   10*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   7*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6981] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   11*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 6982] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6983] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 6984] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 6985] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (22*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 6986] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 + 7*a^2*z^4 - 4*a^4*z^4 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 6987] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 6988] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   7*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 6989] -> a^4 + a^8 - a^12 + 3*a^4*z^2 + 
   6*a^8*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 7*a^8*z^4 + a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 6990] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 3*a^2*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 - 
   a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 6991] -> 3 - a^(-2) - a^2 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 
   7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 6992] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 6993] -> 
  1 - 3*a^4 + 6*a^6 - 3*a^8 + 2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 
   z^4 - 12*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 6994] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 6995] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 6996] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (10*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + (8*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 6997] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 6998] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 6999] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   5*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7000] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7001] -> -1 + a^(-4) - a^2 + 3*a^4 - a^6 + 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 7002] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7003] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 7004] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 7005] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 7006] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 7007] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7008] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 7009] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7010] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 7011] -> -1 + 2/a^2 - 3*a^2 + 4*a^4 - a^6 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 7012] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (8*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 7013] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 7014] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 7015] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 
   z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 7016] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 7017] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 7018] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - z^2 + 
   10*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 7019] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 3*a^4*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 7020] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 7021] -> -2/a^12 + 7/a^10 - 10/a^8 + 5/a^6 + 
   a^(-4) - (3*z^2)/a^12 + (16*z^2)/a^10 - (23*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 + (12*z^4)/a^10 - (23*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 7022] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 
   2*a^4 - 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 7023] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (28*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (34*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 7024] -> 
  -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 7025] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 7026] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7027] -> a^(-4) - 2*a^2 + 2*a^4 + 2*z^2 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 7028] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 7029] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7030] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7031] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7032] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 + (2*z^2)/a^4 - z^2/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   z^4/a^4 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7033] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7034] -> 2 - 2*a^2 + a^4 + 2*z^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 7035] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - a^4*z^2 + 
   15*a^6*z^2 - 13*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 13*a^6*z^4 - 
   10*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 7036] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (16*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 + 
   (8*z^4)/a^10 - (15*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (7*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 7037] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 7038] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   4*z^2 - z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - (13*z^2)/a^2 + z^4 - z^4/a^8 - 
   z^4/a^6 + (11*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 7039] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 7040] -> -4 + 3/a^2 + a^2 + a^4 - 
   10*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7041] -> a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 - 
   2*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 3*a^4*z^4 - 5*a^6*z^4 + 11*a^8*z^4 - 
   2*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 7042] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 7043] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 
   z^4 - 12*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 7044] -> -3 + a^(-2) + 4*a^2 - a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7045] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7046] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7047] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 7048] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (16*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (6*z^4)/a^8 + (13*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 7049] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7050] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7051] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 7052] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 2*z^2 - z^2/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - 
   z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 7053] -> -6 + 3/a^2 + 4*a^2 + a^4 - a^6 - 15*z^2 + 
   (6*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 15*z^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 7054] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7055] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 7056] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7057] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 7058] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 7059] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 7060] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 11*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 
   4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7061] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 - 2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 
   z^4 + 3*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 7062] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 7063] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7064] -> 
  1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 6*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 7065] -> 5 - a^(-4) - 4*a^2 + a^4 + 11*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7066] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   z^2/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - 10*a^2*z^4 + 
   8*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 7067] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7068] -> 
  -6 + a^(-8) - a^(-6) - 2/a^4 + 6/a^2 + 3*a^2 - 16*z^2 - (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7069] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 15*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7070] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   6*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7071] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 8*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 
   4*z^4 - z^4/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 7072] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7073] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 
   z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7074] -> a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7075] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 7076] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 7077] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7078] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   11*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + z^4/a^4 + 
   z^4/a^2 + 6*a^2*z^4 - 3*z^6 - z^6/a^2, Knot[14, NonAlternating, 7079] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 7080] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7081] -> 2 - 2/a^4 + 2/a^2 - a^4 + 6*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6 + z^6/a^2, Knot[14, NonAlternating, 7082] -> 
  a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (6*z^2)/a^12 + (10*z^2)/a^10 + (10*z^2)/a^8 - (5*z^4)/a^14 + z^4/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 7083] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 4*z^2 + 
   5*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 
   9*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7084] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + 
   a^(-4) + (2*z^2)/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 7085] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 7086] -> 
  -2 - a^(-4) + 2/a^2 + 3*a^2 - a^6 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + (4*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 7087] -> 
  a^(-14) - 3/a^12 + a^(-10) + a^(-8) + a^(-4) - (5*z^2)/a^12 + 
   (6*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + 
   (8*z^4)/a^10 + z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 7088] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 7089] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 
   2/a^4 - (4*z^2)/a^12 + (6*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (7*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 7090] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 - 
   2*z^6 - a^2*z^6, Knot[14, NonAlternating, 7091] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 9*z^2 - (3*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 8*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 7092] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 - 
   (2*z^2)/a^12 + (11*z^2)/a^10 + (9*z^2)/a^8 - (5*z^4)/a^14 + (3*z^4)/a^12 + 
   (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 7093] -> -1 + 4*a^4 - 2*a^8 - 3*z^2 + 2*a^2*z^2 + 
   10*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - z^4 + 3*a^2*z^4 + 8*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7094] -> 2 - 2/a^4 + 2/a^2 - a^4 + 4*z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 7095] -> 
  a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - (3*z^2)/a^14 - 
   (4*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + 
   z^4/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 7096] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - z^2 - z^2/a^2 + 5*a^2*z^2 + 5*a^4*z^2 - 
   a^8*z^2 + z^4 + 3*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 7097] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 7098] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 7099] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7100] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7101] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 2*z^2 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - z^4/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7102] -> 1 - a^(-6) + a^(-4) + a^2 - a^4 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 7103] -> 
  a^(-16) - 2/a^14 - a^(-10) + 2/a^8 + a^(-6) - (3*z^2)/a^14 - z^2/a^12 + 
   (2*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (7*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 7104] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 7105] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7106] -> 1 + z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 
   z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 7107] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (6*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[14, NonAlternating, 7108] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - 
   a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   6*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7109] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 7110] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 
   5*z^2 + 5*a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 - 4*z^4 + 8*a^2*z^4 + 
   14*a^4*z^4 - 5*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 7111] -> a^(-12) - 2/a^10 + 2/a^4 + 
   z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 7112] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 
   4*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 8*z^4 - 
   z^4/a^4 + z^4/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 7113] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + (3*z^4)/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 7114] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^8 + z^8/a^6, Knot[14, NonAlternating, 7115] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + (6*z^2)/a^12 - (20*z^2)/a^10 + 
   (14*z^2)/a^8 + (5*z^2)/a^6 + (4*z^4)/a^12 - (16*z^4)/a^10 + (12*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 7116] -> -4*a^2 + 9*a^4 - 2*a^6 - 2*a^8 - 
   12*a^2*z^2 + 27*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 - 9*a^2*z^4 + 27*a^4*z^4 + 
   4*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 12*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 7117] -> 
  3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + (5*z^2)/a^16 - (21*z^2)/a^14 + 
   z^2/a^12 + (27*z^2)/a^10 + (2*z^4)/a^16 - (23*z^4)/a^14 + (17*z^4)/a^12 + 
   (42*z^4)/a^10 - (9*z^6)/a^14 + (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 7118] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + 
   a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 7119] -> 
  -1 - a^2 + 7*a^4 - 3*a^6 - a^8 - 4*z^2 + 3*a^2*z^2 + 13*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 10*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7120] -> 2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + 
   a^(-8) + (2*z^2)/a^16 - (10*z^2)/a^14 - (4*z^2)/a^12 + (16*z^2)/a^10 + 
   (7*z^2)/a^8 - (7*z^4)/a^14 + (4*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 7121] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 7122] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + (5*z^2)/a^8 - (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (7*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 7123] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (3*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + z^4/a^12 - 
   (5*z^4)/a^10 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 7124] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 7125] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 3*z^2 - 
   z^2/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - z^4/a^2 + 8*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 7126] -> a^(-12) - 2/a^10 + 2/a^4 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 7127] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 
   4*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 7128] -> -2/a^6 + 3/a^4 - z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 7129] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 3*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 5*z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 7130] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 
   3/a^4 - 2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 7131] -> 
  a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 7132] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 + 6*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 11*a^4*z^4 - a^6*z^4 - a^8*z^4 + 3*a^2*z^6 + 
   4*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 7133] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + (2*z^2)/a^16 - (7*z^2)/a^14 - 
   (8*z^2)/a^12 + (15*z^2)/a^10 + (8*z^2)/a^8 - (7*z^4)/a^14 + (2*z^4)/a^12 + 
   (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 7134] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 7135] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 + 
   6*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 
   11*a^4*z^4 - a^6*z^4 - a^8*z^4 + 3*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7136] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + 
   (2*z^2)/a^16 - (7*z^2)/a^14 - (8*z^2)/a^12 + (15*z^2)/a^10 + (8*z^2)/a^8 - 
   (7*z^4)/a^14 + (2*z^4)/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 7137] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + 
   z^2 - (2*z^2)/a^2 + 5*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 7138] -> a^(-12) - 3/a^10 + 3/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) - z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 7139] -> 
  -a^(-6) + a^(-4) + 3*a^2 - 2*a^4 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^4 + 4*a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 7140] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 7141] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 
   3*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   5*z^4 - z^4/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 7142] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 7143] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 7144] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (17*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - 
   (5*z^4)/a^6 + (13*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 7145] -> 
  7 - 2/a^2 - 5*a^2 + a^6 + 11*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7146] -> -3 - a^(-6) + 3/a^4 - a^(-2) + 4*a^2 - 
   a^4 - 5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 7147] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 14*z^2 - (4*z^2)/a^2 - 14*a^2*z^2 + 4*a^4*z^2 + 
   11*z^4 + z^4/a^4 - (4*z^4)/a^2 - 10*a^2*z^4 + 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 7148] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + z^2/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (14*z^2)/a^4 - (4*z^2)/a^2 - (2*z^4)/a^8 + (8*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 7149] -> 
  -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 16*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7150] -> 2 + a^(-4) - 2/a^2 - z^2 - z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7151] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (20*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 7152] -> 
  1 + 5*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + z^4/a^6 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 7153] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7154] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7155] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 7156] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 5*z^4 + z^4/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 7157] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   5*z^4 + (2*z^4)/a^2 + a^4*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7158] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 7159] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 7160] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 5*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 7161] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7162] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + 
   a^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7163] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 7164] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 7165] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 5*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 7166] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7167] -> 3*a^2 - 5*a^4 + 4*a^6 - a^10 + 6*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 
   2*a^4*z^6, Knot[14, NonAlternating, 7168] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 7169] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 7*z^2 + 
   23*a^2*z^2 - 25*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 9*z^4 + 30*a^2*z^4 - 
   26*a^4*z^4 + 6*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 7170] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 16*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7171] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 - z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + 
   (2*z^2)/a^2 + (5*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 7172] -> 
  1 - a^2 + a^4 + a^6 - a^8 + a^4*z^2 + a^6*z^2 - z^4 + a^2*z^4 + a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 7173] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (18*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 7174] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 7175] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 7176] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 7*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 7177] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 7178] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7179] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 
   10*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 + a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7180] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7181] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   5*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 7182] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (22*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (32*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7183] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 7184] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 6*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (22*z^2)/a^2 - 
   5*z^4 - z^4/a^8 + (15*z^4)/a^6 - (36*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 7185] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 7186] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7187] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2 - 
   z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + 4*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 7188] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 7189] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 23*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (22*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (34*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7190] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 7191] -> 
  -4 + a^(-8) - a^(-6) + 2/a^2 + 3*a^2 - 13*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 7192] -> 
  a^(-2) - a^6 + a^8 - 3*z^2 + z^2/a^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 7193] -> a^(-8) - a^(-6) + a^2 - 5*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7194] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7195] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 3*z^2 - 
   5*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7196] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 
   9*a^4*z^2 - 12*a^6*z^2 + 12*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   13*a^6*z^4 + 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 7197] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - 
   (2*z^2)/a^4 - 8*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 7198] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 7199] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (32*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 7200] -> 
  1 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   3*a^2*z^4 - a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7201] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7202] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   6*z^2 + z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 7203] -> 
  -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 7*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (5*z^4)/a^4 + (10*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 7204] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 
   2*a^2 - 17*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 + z^4/a^6 - (13*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 7205] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   7*z^2 + 22*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   21*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 7206] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   7*z^2 + 22*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   21*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 7207] -> 4*a^6 - 6*a^8 + 7*a^10 - 5*a^12 + a^14 + 
   14*a^6*z^2 - 19*a^8*z^2 + 22*a^10*z^2 - 10*a^12*z^2 + a^14*z^2 + 
   12*a^6*z^4 - 20*a^8*z^4 + 19*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   10*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 7208] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 + z^2/a^14 - (10*z^2)/a^12 + 
   (29*z^2)/a^10 - (35*z^2)/a^8 + (21*z^2)/a^6 - (4*z^4)/a^12 + 
   (28*z^4)/a^10 - (45*z^4)/a^8 + (21*z^4)/a^6 + (10*z^6)/a^10 - 
   (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 7209] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - (37*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (18*z^4)/a^6 - (44*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 7210] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 7*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - (37*z^2)/a^4 + (29*z^2)/a^2 - 
   5*z^4 - z^4/a^8 + (18*z^4)/a^6 - (44*z^4)/a^4 + (30*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (26*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 7211] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 12*z^2 + z^2/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 7212] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7213] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7214] -> 5*a^6 - 8*a^8 + 8*a^10 - 5*a^12 + a^14 + 
   3*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 11*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + 
   a^6*z^4 - 5*a^8*z^4 + 5*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 7215] -> a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 
   4/a^6 + a^(-4) - (4*z^2)/a^12 + (14*z^2)/a^10 - (13*z^2)/a^8 + 
   (2*z^2)/a^6 + (6*z^2)/a^4 + (8*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 7216] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 
   7/a^2 + 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7217] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 + 
   4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7218] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (28*z^2)/a^4 + (15*z^2)/a^2 - z^4 - z^4/a^8 + 
   (13*z^4)/a^6 - (28*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 7219] -> 
  -8 + 4/a^2 + 7*a^2 - 3*a^4 + a^6 - 24*z^2 + (8*z^2)/a^2 + 20*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 7220] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   31*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (36*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 + 
   z^4/a^6 - (18*z^4)/a^4 + (43*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7221] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 3*z^2 - 
   2*a^6*z^2 + a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 7222] -> 
  -3 + a^(-8) - a^(-6) + 2/a^2 + a^2 + a^4 - 5*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 7223] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - 
   (28*z^2)/a^4 + (15*z^2)/a^2 - z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (28*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 7224] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7225] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 7226] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 + z^6/a^6, Knot[14, NonAlternating, 7227] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (18*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - (21*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 7228] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^4 + 3*a^2*z^2 - 2*z^4 - z^4/a^2, 
 Knot[14, NonAlternating, 7229] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 6*z^2 - 
   z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 7230] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7231] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - z^4 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 7232] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 16*a^4*z^2 + 
   20*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 26*a^4*z^4 + 24*a^6*z^4 - 
   6*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 7233] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7234] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 7235] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7236] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 7237] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 7238] -> 1 + a^(-10) - 2/a^8 + 2/a^4 - 
   a^(-2) - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^6 + 
   z^4/a^4, Knot[14, NonAlternating, 7239] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) + (6*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 7240] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   10*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7241] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - z^4 + 3*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 7242] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 16*z^4 + 
   (5*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 7243] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7244] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7245] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7246] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 12*a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 7247] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7248] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 7249] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 
   5/a^2 - 6*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + (21*z^2)/a^2 - 
   5*z^4 - z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + (27*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 7250] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7251] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 7252] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7253] -> 
  2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + a^4 + 7*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (10*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 7254] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 - 3*z^4 + 
   7*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7255] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   3*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 7256] -> 4*a^6 - 6*a^8 + 7*a^10 - 
   5*a^12 + a^14 + 2*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 14*a^10*z^2 - 
   6*a^12*z^2 + 3*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 7257] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + 2*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7258] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 2*z^2 + 
   (6*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 7259] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 13*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7260] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (32*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (36*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7261] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 
   7*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 7262] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (17*z^2)/a^4 + (6*z^2)/a^2 + z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 7263] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - (5*z^2)/a^12 + (19*z^2)/a^10 - 
   (23*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 + (13*z^4)/a^10 - (23*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 7264] -> 
  4*a^6 - 6*a^8 + 7*a^10 - 5*a^12 + a^14 + 2*a^4*z^2 + 8*a^6*z^2 - 
   10*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 3*a^6*z^4 - 
   7*a^8*z^4 + 7*a^10*z^4 - a^6*z^6 - 3*a^8*z^6, 
 Knot[14, NonAlternating, 7265] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7266] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - 
   (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 7267] -> 
  2*a^2 - a^4 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   5*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 7268] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 7269] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   5*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 7270] -> -a^(-6) + a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 7271] -> 
  2 - a^2 - a^4 + a^6 + 8*z^2 - (4*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 10*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 7272] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7273] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7274] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   4*z^2 - z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 - 
   z^4/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 7275] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - 
   a^8 + 4*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 
   10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 7276] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 
   3*a^2 - 11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7277] -> 
  3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 4*z^2 - z^2/a^8 + z^2/a^6 + 
   (8*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 + (10*z^4)/a^4 - 
   (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 7278] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   6*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 7279] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (6*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 7280] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 7281] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7282] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^6 - z^4/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7283] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 
   z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 7284] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 7285] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 7286] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + z^4/a^4 + 6*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 7287] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   3*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 7288] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7289] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 + z^6/a^6, Knot[14, NonAlternating, 7290] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^4 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + z^4/a^4 + 
   z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7291] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 7292] -> 
  -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 21*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 7293] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7294] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 
   32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 29*a^2*z^2 - 8*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 7295] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 9*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7296] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 7297] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 7298] -> 7 + a^(-4) - 4/a^2 - 4*a^2 + 
   a^4 + 14*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 11*z^4 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 7299] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[14, NonAlternating, 7300] -> -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7301] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7302] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7303] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7304] -> 1 + z^2/a^2 - a^2*z^2 - a^4*z^2 + 
   a^8*z^2 - 2*z^4 - a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 7305] -> 1 - a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   7*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 7306] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7307] -> -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7308] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7309] -> -2 + a^(-8) - 3/a^6 + 4/a^4 - a^(-2) + 
   2*a^2 - 6*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 7310] -> 
  a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 7311] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 5*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (14*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 7312] -> 
  2 - 5*a^2 + 6*a^4 - a^6 - a^8 + 5*z^2 - 11*a^2*z^2 + 7*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 2*a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7313] -> 3/a^12 - 7/a^10 + 2/a^8 + 3/a^6 + 
   (7*z^2)/a^12 - (20*z^2)/a^10 + (10*z^2)/a^8 + (7*z^2)/a^6 + (5*z^4)/a^12 - 
   (18*z^4)/a^10 + (9*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 - (7*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 7314] -> 
  -4*a^2 + 8*a^4 - 3*a^8 - 13*a^2*z^2 + 27*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 - 
   10*a^2*z^4 + 29*a^4*z^4 + 7*a^6*z^4 - 5*a^8*z^4 - 2*a^2*z^6 + 13*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 7315] -> 3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - 
   (21*z^2)/a^14 + (5*z^2)/a^12 + (25*z^2)/a^10 + z^4/a^16 - (21*z^4)/a^14 + 
   (20*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + (21*z^6)/a^12 + 
   (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 7316] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + (3*z^2)/a^12 - (7*z^2)/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 7317] -> -1 - a^2 + 6*a^4 - a^6 - 2*a^8 - 4*z^2 + 
   2*a^2*z^2 + 14*a^4*z^2 - 3*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 11*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7318] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (9*z^2)/a^14 - (2*z^2)/a^12 + (15*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^4)/a^14 + (5*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 7319] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 7320] -> -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 5*z^2 + 
   6*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 6*a^2*z^4 + 
   10*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7321] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (6*z^2)/a^14 - (5*z^2)/a^12 + (12*z^2)/a^10 + 
   (9*z^2)/a^8 - (5*z^4)/a^14 + (2*z^4)/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 7322] -> 
  7 - 4/a^2 - 2*a^4 + 21*z^2 - (10*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   21*z^4 - (6*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 8*z^6 - z^6/a^2 + z^8, 
 Knot[14, NonAlternating, 7323] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 9*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6 + z^6/a^2, Knot[14, NonAlternating, 7324] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 7325] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^4 + 
   (3*z^4)/a^2, Knot[14, NonAlternating, 7326] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (4*z^2)/a^14 - (3*z^2)/a^12 + 
   (8*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 7327] -> 
  -2 + 2*a^2 + 4*a^4 - 2*a^6 - a^8 - 2*z^2 - z^2/a^2 + 6*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - a^8*z^2 + z^4 + 4*a^2*z^4 + 4*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 7328] -> a^(-12) - 2/a^10 + a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + z^2/a^12 - (2*z^2)/a^10 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 - z^4/a^8 - z^4/a^6, Knot[14, NonAlternating, 7329] -> 
  1 - a^(-2) + 3*a^4 - a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 
   5*a^4*z^2 - a^8*z^2 + 2*z^4 + 3*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 7330] -> a^(-16) - 2/a^14 - a^(-12) + a^(-10) + 
   a^(-8) + a^(-6) - (4*z^2)/a^14 + (5*z^2)/a^10 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 7331] -> 2 - a^(-6) + a^(-4) - a^2 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 + z^4/a^4 + z^4/a^2, 
 Knot[14, NonAlternating, 7332] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 7333] -> 2/a^10 - 4/a^8 + 3/a^4 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - (7*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 7334] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 7*z^2 + 
   13*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + 11*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 7335] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^4*z^2 - a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 7336] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (6*z^2)/a^10 + (4*z^2)/a^4 + (6*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 7337] -> 2/a^14 - 6/a^12 + 2/a^10 + 
   3/a^8 - (10*z^2)/a^12 + (8*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - 
   (4*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 7338] -> 
  -2/a^10 + a^(-8) + 2/a^6 - z^2/a^14 - z^2/a^10 + (4*z^2)/a^8 + 
   (6*z^2)/a^6 + z^4/a^12 + z^4/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 7339] -> -3/a^4 + 5/a^2 - a^2 + 3*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 7340] -> a^(-12) - a^(-10) - 2/a^8 + 
   a^(-6) + 2/a^4 + z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^4, 
 Knot[14, NonAlternating, 7341] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 7342] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 
   5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 7343] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + 
   a^(-6) + a^(-4) - (4*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^4 + 
   (6*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 7344] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7345] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 7346] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (3*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - (5*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7347] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 7348] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 7349] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^6)/a^6, Knot[14, NonAlternating, 7350] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 7351] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 
   z^4 - z^4/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 7352] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7353] -> -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 7354] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7355] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7356] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   7*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7357] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 7358] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 
   9*a^2*z^2 - 23*a^4*z^2 + 25*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 9*a^2*z^4 - 
   31*a^4*z^4 + 25*a^6*z^4 - 6*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 7359] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7360] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (12*z^4)/a^6 + (6*z^4)/a^4 - 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 7361] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 7362] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 2*z^4 + 8*a^2*z^4 - 3*a^4*z^4 + 
   2*a^2*z^6, Knot[14, NonAlternating, 7363] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 7364] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (18*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (20*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 7365] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - z^2/a^8 - 
   (11*z^2)/a^6 + (10*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (14*z^4)/a^6 + 
   (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 7366] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 
   15*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 15*z^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 7367] -> 1 + a^2 - 2*a^4 + a^6 - z^2/a^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^2 + 10*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7368] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 22*z^2 + 
   z^2/a^6 - (11*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (32*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7369] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   14*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 4*a^4*z^4 + 17*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 7370] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7371] -> a^2 + a^6 - a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 7372] -> -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   2*a^2 - 5*z^2 - (3*z^2)/a^6 + (4*z^2)/a^2 + (2*z^4)/a^4 + (3*z^4)/a^2, 
 Knot[14, NonAlternating, 7373] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   7*z^2 - z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^2, Knot[14, NonAlternating, 7374] -> 
  a^2 + a^4 - a^6 + z^2 - 3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   2*z^4 - 7*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 7375] -> 1 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 7376] -> -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 
   3*z^2 - (3*z^2)/a^6 + (2*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2, Knot[14, NonAlternating, 7377] -> 
  2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - a^(-2) - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7378] -> 1 + a^6 - 2*a^8 + a^10 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - z^4 - 2*a^2*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 7379] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   3*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 - z^4 + a^2*z^4 - a^4*z^4 - 
   4*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 7380] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^6 - z^2/a^4 + z^2/a^2 - 
   5*a^2*z^2 + 3*z^4 + z^4/a^4 + (3*z^4)/a^2, 
 Knot[14, NonAlternating, 7381] -> -2 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 + a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7382] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + a^8*z^2 - 7*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 2*a^6*z^4 - z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 7383] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   16*z^2 + z^2/a^8 - (4*z^2)/a^6 + (12*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 7384] -> -2 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 + a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7385] -> a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7386] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 7387] -> 
  2 + a^(-4) - 2/a^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7388] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 7389] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7390] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 7391] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 
   7*a^2*z^2 - 18*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 
   21*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 7392] -> 
  4*a^6 - 8*a^8 + 11*a^10 - 7*a^12 + a^14 + 16*a^6*z^2 - 28*a^8*z^2 + 
   36*a^10*z^2 - 15*a^12*z^2 + a^14*z^2 + 17*a^6*z^4 - 36*a^8*z^4 + 
   37*a^10*z^4 - 8*a^12*z^4 + 7*a^6*z^6 - 24*a^8*z^6 + 15*a^10*z^6 - 
   a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 7393] -> 4*a^6 - 7*a^8 + 9*a^10 - 6*a^12 + a^14 + 
   4*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 15*a^10*z^2 - 6*a^12*z^2 + 4*a^4*z^4 - 
   3*a^6*z^4 - 5*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 
   4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 7394] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 7395] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + z^2/a^2 - 3*a^2*z^2 + 3*a^6*z^2 - z^4 - 
   3*a^2*z^4 - 2*a^4*z^4, Knot[14, NonAlternating, 7396] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 8*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 7397] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   7*z^2 + z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 7398] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 2*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 7399] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^4 + 
   a^4*z^2 - 2*z^4 - z^4/a^2 - a^2*z^4, Knot[14, NonAlternating, 7400] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 7401] -> 4 + 2/a^4 - 4/a^2 - a^2 - a^4 + a^6 + 
   8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 9*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 7402] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 7403] -> 
  -10 + 4/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 23*z^2 + (6*z^2)/a^2 + 26*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 7404] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 7405] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 12*a^2*z^2 - 8*a^4*z^2 + a^8*z^2 - 
   4*z^4 + 12*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 7406] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 7407] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7408] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   z^6/a^4, Knot[14, NonAlternating, 7409] -> a^4 + 3*a^8 - 4*a^10 + a^12 + 
   3*a^4*z^2 - 2*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 + 3*a^4*z^4 - 5*a^6*z^4 + 
   11*a^8*z^4 - 2*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 7410] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7411] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 7412] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   a^4*z^2 + 2*z^4 - z^4/a^4 + a^2*z^4, Knot[14, NonAlternating, 7413] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 7414] -> 1 - 2*a^4 + 3*a^6 - a^10 + 2*z^2 - 
   6*a^4*z^2 + 6*a^6*z^2 + a^8*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 7415] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 7416] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 
   a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 
   8*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 7417] -> -1 - a^(-4) + 3/a^2 - a^2 + 
   a^4 - 5*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7418] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 7419] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 7420] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7421] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + z^6, Knot[14, NonAlternating, 7422] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 7423] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 7424] -> 
  a^(-6) - a^(-4) + a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7425] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 7426] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7427] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^10 + (3*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 7428] -> 
  a^(-2) - a^2 + a^4 - 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 7429] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7430] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 7431] -> a^(-4) - a^(-2) + a^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7432] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7433] -> 1 - 2*a^2 + 6*a^4 - 6*a^6 + 2*a^8 + 
   2*z^2 - 6*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 7434] -> 1 - 2*a^2 + 3*a^4 + a^6 - 
   3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + z^4 - a^2*z^4 - 8*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - 
   5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 7435] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 7436] -> -4 + 2/a^2 + 3*a^2 + a^4 - 
   a^6 - 10*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 7437] -> 1 - a^6 + 2*a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 - a^4*z^2 + 2*a^8*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 7438] -> 1 - 2*a^2 + 6*a^4 - 6*a^6 + 
   2*a^8 + 2*z^2 - 8*a^2*z^2 + 14*a^4*z^2 - 10*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 
   9*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 7439] -> 3 - a^(-2) - a^2 + 8*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7440] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 7441] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 6*z^2 + 20*a^2*z^2 - 20*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 19*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 7442] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (27*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (32*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 7443] -> a^(-4) - a^(-2) + 2*a^4 - 
   a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   3*z^4 - (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 7444] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 7*z^2 - 
   z^2/a^2 - 14*a^2*z^2 + 12*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 
   13*a^2*z^4 + 5*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7445] -> 2 - 3*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   3*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + z^4 - 7*a^2*z^4 + 
   6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 7446] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 
   3*a^2 - a^4 - 9*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + (2*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 7447] -> 
  5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 9*z^2 - z^2/a^4 - z^2/a^2 - 12*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 7448] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7449] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7450] -> 1 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   z^6 - z^6/a^4, Knot[14, NonAlternating, 7451] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7452] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7453] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 7454] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + 3*z^2 - 6*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 - 2*a^6*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 7455] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7456] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 7457] -> -a^(-12) + 2/a^10 + a^(-8) - 
   5/a^6 + 3/a^4 + a^(-2) + (2*z^2)/a^10 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^8 - (8*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 7458] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 + z^2 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 7459] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 7460] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 
   10*a^8*z^2 + 4*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 + 
   a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 7461] -> 
  2 + a^(-4) - 2/a^2 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 7462] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 7463] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (9*z^2)/a^4 + z^2/a^2 - z^4/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7464] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 7465] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 14*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7466] -> -4 - 3/a^4 + 7/a^2 + a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7467] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7468] -> 
  -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 8*z^2 + (3*z^2)/a^2 + a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + z^4/a^2 + 5*a^4*z^4 - a^6*z^4 - z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 7469] -> -1 + a^(-4) - a^(-2) + 2*a^2 + 
   a^4 - a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 7470] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 7*z^2 - 
   z^2/a^2 - 15*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 
   13*a^2*z^4 + 5*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7471] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 7472] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - 3*z^2 + 
   10*a^2*z^2 - 8*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7473] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 13*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 11*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7474] -> 2 - 2*a^2 + a^4 + a^2*z^2 - 3*a^4*z^2 + 
   a^8*z^2 - 3*z^4 + 6*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 7475] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 7476] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   2*z^2 - (2*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7477] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - 
   z^2/a^4 + z^2/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7478] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7479] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   2*a^4*z^6, Knot[14, NonAlternating, 7480] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - 
   (19*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - 
   (17*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 7481] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 7482] -> 3 - 5*a^2 + 4*a^4 - a^6 + z^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   a^4*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7483] -> 3 - 5*a^2 + 4*a^4 - a^6 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 7484] -> 
  2 + a^(-4) - 2/a^2 - 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 7485] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 - z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   5*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 7486] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 7487] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 7488] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 3*z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7489] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7490] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 2*z^2 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7491] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 - 4*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7492] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7493] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 3*z^4 + 8*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7494] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 7495] -> 2 - a^(-2) + a^2 - a^4 + 
   3*z^2 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 7496] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 7497] -> 
  -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 3*a^2*z^2 + 5*a^4*z^2 - a^8*z^2 - z^4 + 
   3*a^2*z^4 + 4*a^4*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 7498] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7499] -> -1 + 4*a^2 - 2*a^4 + 3*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 7500] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 7501] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[14, NonAlternating, 7502] -> 
  -1 + a^(-4) + a^4 - 2*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 7503] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7504] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + (5*z^2)/a^10 - (26*z^2)/a^8 + 
   (35*z^2)/a^6 - (9*z^2)/a^4 + (2*z^4)/a^10 - (22*z^4)/a^8 + (41*z^4)/a^6 - 
   (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 7505] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 9*a^4*z^2 + 32*a^6*z^2 - 18*a^8*z^2 + 
   2*a^10*z^2 - 12*a^4*z^4 + 40*a^6*z^4 - 17*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 
   25*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 7506] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 7507] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + z^2/a^16 - z^2/a^14 - 
   (26*z^2)/a^12 + (37*z^2)/a^10 - (3*z^4)/a^14 - (19*z^4)/a^12 + 
   (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 7508] -> 
  -5 - a^(-6) - 4/a^4 + 11/a^2 - 15*z^2 - z^2/a^6 - (12*z^2)/a^4 + 
   (35*z^2)/a^2 - 14*z^4 - (13*z^4)/a^4 + (43*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7509] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (26*z^2)/a^8 + (33*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^4)/a^10 - (23*z^4)/a^8 + (39*z^4)/a^6 - (11*z^4)/a^4 - (9*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7510] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7511] -> -a^2 + 4*a^4 - 2*a^6 + a^8 - a^10 - 
   4*a^2*z^2 + 11*a^4*z^2 - a^8*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 7512] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 7513] -> 
  a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 - (3*z^2)/a^14 - (2*z^2)/a^12 + 
   z^2/a^10 + (14*z^2)/a^8 - z^4/a^14 - z^4/a^12 + (9*z^4)/a^10 + 
   (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 7514] -> -1 - 4/a^6 + 6/a^4 - 4*z^2 - (7*z^2)/a^6 + 
   (14*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (13*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 7515] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) - (3*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7516] -> -3 + 9*a^2 - 6*a^4 + a^6 - 6*z^2 + 
   20*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 14*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 7517] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + 
   (4*z^2)/a^12 - (15*z^2)/a^10 + (15*z^2)/a^8 + (4*z^2)/a^6 + (4*z^4)/a^12 - 
   (14*z^4)/a^10 + (13*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 7518] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - 
   3*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 7519] -> 
  -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 9*a^2*z^2 + 22*a^4*z^2 - 2*a^6*z^2 - 
   3*a^8*z^2 - 6*a^2*z^4 + 21*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   8*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 7520] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (6*z^2)/a^8 - (8*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 + (5*z^4)/a^8 - (11*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 7521] -> -2 + 6*a^2 - 3*a^4 - z^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 7522] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7523] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 7524] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 7525] -> 
  -1 + 5*a^4 - 2*a^6 - a^8 - 3*z^2 + 3*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 - z^4 + 4*a^2*z^4 + 6*a^4*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 7526] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7527] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - a^4*z^2 + 
   a^6*z^2 + z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 7528] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 
   8*z^2 - (3*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 7529] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - z^6/a^10 + 
   z^6/a^6, Knot[14, NonAlternating, 7530] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 7531] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 8*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 
   2*z^4 + 7*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 7532] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + z^4 + z^4/a^8 - (11*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7533] -> 6 - 2/a^2 - 4*a^2 + a^4 + 7*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 7534] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^2 - 
   a^4*z^4, Knot[14, NonAlternating, 7535] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 + z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 7536] -> a^(-2) - a^4 + a^6 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 7537] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + 3*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 7538] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 + 
   z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2, Knot[14, NonAlternating, 7539] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 3*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 7540] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (18*z^2)/a^8 + (26*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^10 - 
   (17*z^4)/a^8 + (35*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7541] -> -a^4 + 4*a^6 - 2*a^10 - 6*a^4*z^2 + 
   22*a^6*z^2 - 6*a^8*z^2 - a^10*z^2 - 11*a^4*z^4 + 34*a^6*z^4 - 11*a^8*z^4 - 
   6*a^4*z^6 + 24*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 7542] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 7543] -> 2/a^16 - 4/a^14 - 3/a^12 + 
   6/a^10 + z^2/a^16 - (8*z^2)/a^14 - (11*z^2)/a^12 + (31*z^2)/a^10 - 
   (5*z^4)/a^14 - (9*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 7544] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 9*z^2 - 
   z^2/a^6 - (5*z^2)/a^4 + (20*z^2)/a^2 - 12*z^4 - (11*z^4)/a^4 + 
   (33*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7545] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (2*z^2)/a^10 - (17*z^2)/a^8 + 
   (27*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + (36*z^4)/a^6 - 
   (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 7546] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 7547] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 
   a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 7548] -> 
  -a^(-4) + 2/a^2 - z^2/a^6 + (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7549] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (3*z^2)/a^14 - (9*z^2)/a^12 + (16*z^2)/a^10 + (8*z^2)/a^8 - 
   z^4/a^14 - (3*z^4)/a^12 + (19*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 7550] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 4*z^2 - z^2/a^4 + (9*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 7551] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7552] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^6 + (11*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7553] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 12*a^2*z^4 - 5*a^4*z^4 - 
   z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 7554] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 - z^4/a^12 + (7*z^4)/a^10 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 7555] -> a^(-10) - 6/a^8 + 6/a^6 + a^(-4) - 
   a^(-2) + z^2/a^10 - (12*z^2)/a^8 + (18*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - (9*z^4)/a^8 + (21*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 7556] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7557] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + (5*z^2)/a^10 - (26*z^2)/a^8 + 
   (35*z^2)/a^6 - (9*z^2)/a^4 + (2*z^4)/a^10 - (22*z^4)/a^8 + (41*z^4)/a^6 - 
   (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 7558] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 9*a^4*z^2 + 32*a^6*z^2 - 18*a^8*z^2 + 
   2*a^10*z^2 - 12*a^4*z^4 + 40*a^6*z^4 - 17*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 
   25*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 7559] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 7560] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + z^2/a^16 - z^2/a^14 - 
   (26*z^2)/a^12 + (37*z^2)/a^10 - (3*z^4)/a^14 - (19*z^4)/a^12 + 
   (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 7561] -> 
  -5 - a^(-6) - 4/a^4 + 11/a^2 - 15*z^2 - z^2/a^6 - (12*z^2)/a^4 + 
   (35*z^2)/a^2 - 14*z^4 - (13*z^4)/a^4 + (43*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7562] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (26*z^2)/a^8 + (33*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^4)/a^10 - (23*z^4)/a^8 + (39*z^4)/a^6 - (11*z^4)/a^4 - (9*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7563] -> 4 - 6*a^2 + 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   10*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 7564] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 8*z^2 - 
   z^2/a^2 - 16*a^2*z^2 + 14*a^4*z^2 - 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 
   14*a^2*z^4 + 5*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7565] -> 4 + 2/a^6 - 4/a^4 + a^(-2) - 3*a^2 + a^4 + 
   3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 7566] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7567] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 6*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 7568] -> -1 + 2/a^2 - 3*a^2 + 4*a^4 - a^6 - 3*z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 7569] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 7570] -> 
  -1 + a^(-8) - a^(-6) - 2/a^4 + 4/a^2 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4/a^4 + (2*z^4)/a^2 - 
   a^2*z^4, Knot[14, NonAlternating, 7571] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 - 3/a^2 + a^2 - 2*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7572] -> -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 
   3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^6*z^2 + z^4 + 3*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 7573] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 11*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 7574] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + a^2*z^2 + 
   7*a^4*z^2 - 12*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 
   12*a^6*z^4 + 4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 7575] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7576] -> 
  2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 - z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 7577] -> -2 + a^(-6) - 3/a^4 + 5/a^2 - 
   2*a^2 + 2*a^4 + 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 7578] -> 
  2 - 5*a^2 + 5*a^4 + a^6 - 2*a^8 + 4*z^2 - 9*a^2*z^2 + 6*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 - 7*a^2*z^4 + 2*a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7579] -> 4 - 8*a^2 + 7*a^4 - 2*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 15*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   10*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 7580] -> 2 + a^(-6) - 3/a^4 + 3/a^2 - 
   4*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 7581] -> 
  2 - 3*a^2 + a^4 + 2*a^6 - a^10 + 3*z^2 - 4*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 
   2*a^8*z^2 - 3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, 
 Knot[14, NonAlternating, 7582] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 7583] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - a^2 - a^4 + a^6 + 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^4 + a^2*z^4, 
 Knot[14, NonAlternating, 7584] -> -3 - 4/a^6 + 8/a^4 - 2/a^2 + 2*a^2 - 
   5*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7585] -> 8*a^8 - 10*a^10 + 3*a^12 + 2*a^4*z^2 - 
   3*a^6*z^2 + 21*a^8*z^2 - 14*a^10*z^2 + a^12*z^2 + 3*a^4*z^4 - 5*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 4*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 7586] -> -2/a^12 + 5/a^10 - 2/a^8 - 5/a^6 + 5/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 7587] -> 
  -1 - 2/a^6 + 3/a^4 + a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 7588] -> 3*a^6 - 3*a^10 + a^12 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 + 4*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 7589] -> -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 + 
   (3*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 7590] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 13*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 8*z^4 - z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 7591] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 4*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 
   z^4 - 5*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 7592] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + 
   a^(-2) - a^2 + 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   z^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 7593] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7594] -> -5 - a^(-4) + 5/a^2 + 3*a^4 - a^6 - 
   6*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 + z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 7595] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 11*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^4 - (7*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 
   2*z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 7596] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + a^2*z^2 + 7*a^4*z^2 - 12*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 7597] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7598] -> 
  2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 - z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 7599] -> -2 + a^(-6) - 3/a^4 + 5/a^2 - 
   2*a^2 + 2*a^4 + 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 7600] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 13*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 8*z^4 - z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 7601] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 4*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 
   z^4 - 5*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 7602] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + 
   a^(-2) - a^2 + 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   z^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 7603] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7604] -> -5 - a^(-4) + 5/a^2 + 3*a^4 - a^6 - 
   6*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 + z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 7605] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 9*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 2*a^4*z^2 + 
   7*z^4 - (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 7606] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + 
   9*a^4*z^2 - 14*a^6*z^2 + 11*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   13*a^6*z^4 + 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 7607] -> 2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + 
   z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 7608] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (5*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 7609] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7610] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 7611] -> 2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 
   3*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - z^4 + a^2*z^4 - a^4*z^4 - 
   4*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 7612] -> 
  a^(-10) - 2/a^8 + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 7613] -> -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   a^4 - 4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7614] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 
   3*z^2 - (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4, Knot[14, NonAlternating, 7615] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 5*z^2 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 7616] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - 
   6*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 7617] -> 
  a^(-8) - a^(-6) - a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 7618] -> a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   a^(-2) + a^2 - z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7619] -> 4*a^4 - 6*a^6 + 4*a^8 - a^12 + 8*a^4*z^2 - 
   10*a^6*z^2 + 5*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 7*a^6*z^4 + 
   2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 7620] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 14*z^2 - z^2/a^6 + (4*z^2)/a^4 - (12*z^2)/a^2 - 
   5*a^2*z^2 + 11*z^4 - z^4/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 7621] -> -4 + 2/a^2 + 3*a^2 + 2*a^4 - 3*a^6 + a^8 - 
   8*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   5*z^4 + z^4/a^2 + 4*a^4*z^4 - 2*a^6*z^4 - z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 7622] -> -1 - 4/a^6 + 8/a^4 - 3/a^2 + a^2 - 4*z^2 - 
   (4*z^2)/a^6 + (15*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7623] -> 7*a^8 - 8*a^10 + 2*a^12 + a^4*z^2 - 
   a^6*z^2 + 20*a^8*z^2 - 13*a^10*z^2 + a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 4*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 7624] -> -2/a^12 + 5/a^10 - 3/a^8 - 3/a^6 + 4/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (7*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 7625] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + a^4*z^2 - 2*z^4 + z^4/a^4 - a^2*z^4, 
 Knot[14, NonAlternating, 7626] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + a^4*z^2 + 
   5*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 7627] -> 
  -a^(-12) + 2/a^10 - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^10 - (5*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4, 
 Knot[14, NonAlternating, 7628] -> a^(-8) - a^(-6) - a^(-4) + 2/a^2 - a^2 + 
   a^4 - 3*z^2 - (3*z^2)/a^6 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4, Knot[14, NonAlternating, 7629] -> 
  a^(-10) - 2/a^8 + a^(-6) + a^(-4) - a^(-2) + a^2 - z^2 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7630] -> 12 - 4/a^2 - 9*a^2 + a^4 + a^6 + 17*z^2 - 
   (4*z^2)/a^2 - 15*a^2*z^2 + 2*a^6*z^2 + 8*z^4 - z^4/a^2 - 9*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7631] -> -4*a^2 + 13*a^4 - 10*a^6 + 2*a^8 + z^2 - 
   9*a^2*z^2 + 24*a^4*z^2 - 12*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 
   16*a^4*z^4 - 4*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 7632] -> 6 - 2/a^8 + 7/a^6 - 7/a^4 - a^(-2) - 
   2*a^2 + 10*z^2 - z^2/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   z^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 7633] -> 
  2*a^2 - a^4 - 2*a^6 + 3*a^8 - a^12 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 + 2*a^10*z^2 - 2*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 7634] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 7635] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 2*a^6 + 
   a^8 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 
   z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 7636] -> 
  a^2 + a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 7637] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 8*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 7638] -> 3*a^6 - 3*a^8 + 5*a^10 - 6*a^12 + 2*a^14 + 
   8*a^6*z^2 - 5*a^8*z^2 + 13*a^10*z^2 - 10*a^12*z^2 + a^14*z^2 + 7*a^6*z^4 - 
   4*a^8*z^4 + 13*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 + 
   4*a^10*z^6 - a^8*z^8, Knot[14, NonAlternating, 7639] -> 
  -3 - 2/a^8 + 6/a^6 - 10/a^4 + 10/a^2 - 7*z^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - 
   (31*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + (19*z^4)/a^6 - 
   (38*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 7640] -> 2*a^2 - a^4 - z^2 + z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 7641] -> -2 - a^(-4) + 2/a^2 + 3*a^2 - 
   a^6 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   z^4 - z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7642] -> 6*a^8 - 7*a^10 + 3*a^12 - a^14 + 
   18*a^8*z^2 - 10*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 20*a^8*z^4 - 
   3*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 7643] -> -4/a^6 + 7/a^4 - 2/a^2 - z^2/a^8 - 
   (3*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 7644] -> 
  3*a^2 - 5*a^4 + 3*a^6 + 2*a^8 - 2*a^10 + 7*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 - 5*a^6*z^4 + 
   5*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 7645] -> 2*a^6 + a^8 - 3*a^10 + 2*a^12 - a^14 + 
   5*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 
   6*a^8*z^4 + a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 7646] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7647] -> 1 - 2*a^4 + 3*a^6 - a^10 + 2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 7648] -> 8*a^8 - 12*a^10 + 7*a^12 - 2*a^14 + 
   21*a^8*z^2 - 17*a^10*z^2 + 7*a^12*z^2 - 2*a^14*z^2 + 20*a^8*z^4 - 
   6*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 7649] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 
   (9*z^2)/a^6 + (19*z^2)/a^4 - (6*z^2)/a^2 - (2*z^4)/a^8 + (13*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 7650] -> 4*a^2 - 8*a^4 + 6*a^6 + 2*a^8 - 
   4*a^10 + a^12 + 8*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 + 9*a^8*z^2 - 
   4*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 - 4*a^6*z^4 + 7*a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 7651] -> 4*a^6 - 4*a^8 + a^10 + a^12 - a^14 + 
   8*a^6*z^2 - a^8*z^2 + 2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 3*a^8*z^4 + 
   a^12*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 7652] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 7653] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - 
   a^6*z^6, Knot[14, NonAlternating, 7654] -> 2*a^4 - a^6 + a^12 - a^14 + 
   3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + a^12*z^2 + a^4*z^4 + a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 7655] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^2 - a^2*z^2 + z^4 + z^4/a^6 + z^4/a^4 + z^4/a^2, 
 Knot[14, NonAlternating, 7656] -> -1 + a^(-2) + a^4 + a^6 - a^8 - z^2 + 
   z^2/a^2 - a^2*z^2 + a^6*z^2 + a^8*z^2 - z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4, Knot[14, NonAlternating, 7657] -> 2*a^2 - a^4 - z^2 + z^2/a^2 + 
   a^4*z^2 - 4*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 7658] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 14*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 9*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 7659] -> 3*a^6 - 4*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + 
   9*a^6*z^2 - 9*a^8*z^2 + 19*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 8*a^6*z^4 - 
   7*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 
   4*a^10*z^6 - a^8*z^8, Knot[14, NonAlternating, 7660] -> 
  -3 - 2/a^8 + 5/a^6 - 8/a^4 + 9/a^2 - 7*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (25*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 - z^4/a^8 + (16*z^4)/a^6 - 
   (35*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 7661] -> 1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 7662] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 7663] -> a^4 + a^8 + a^10 - 3*a^12 + a^14 + 
   3*a^4*z^2 + 4*a^8*z^2 + 4*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + 2*a^8*z^4 + 
   4*a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 7664] -> 
  1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 7665] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 7666] -> 
  3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 2*a^10 + 7*a^2*z^2 - 15*a^4*z^2 + 
   15*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 
   8*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   a^8*z^6 - a^4*z^8, Knot[14, NonAlternating, 7667] -> 
  1 - z^2/a^8 + z^2/a^6 + z^2/a^4 - z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7668] -> 1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 7669] -> 
  2 - 3*a^2 + 5*a^4 - 5*a^6 + 2*a^8 + 3*z^2 - 8*a^2*z^2 + 10*a^4*z^2 - 
   11*a^6*z^2 + 4*a^8*z^2 + z^4 - 7*a^2*z^4 + 8*a^4*z^4 - 10*a^6*z^4 + 
   2*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 7670] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   3*z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 
   a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 7671] -> 
  2 + a^(-6) - 3/a^4 + 3/a^2 - 4*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 7672] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 6*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 7673] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7674] -> 4 + 2/a^6 - 4/a^4 + a^(-2) - 3*a^2 + a^4 + 
   3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 7675] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7676] -> 
  2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 - z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 7677] -> -2 + a^(-6) - 3/a^4 + 5/a^2 - 
   2*a^2 + 2*a^4 + 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 7678] -> 
  -2/a^12 + 5/a^10 - 2/a^8 - 5/a^6 + 5/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (6*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 7679] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - 
   a^2 + 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   z^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 7680] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7681] -> -5 - a^(-4) + 5/a^2 + 3*a^4 - a^6 - 
   6*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 + z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 7682] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7683] -> 2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 - 
   z^2 + z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 7684] -> 
  -2 + a^(-6) - 3/a^4 + 5/a^2 - 2*a^2 + 2*a^4 + 2*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7685] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - 
   a^2 + 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   z^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 7686] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 7687] -> -5 - a^(-4) + 5/a^2 + 3*a^4 - a^6 - 
   6*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 + z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 7688] -> 
  a^2 + a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 7689] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 8*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 7690] -> 3*a^6 - 3*a^8 + 5*a^10 - 6*a^12 + 2*a^14 + 
   8*a^6*z^2 - 5*a^8*z^2 + 13*a^10*z^2 - 10*a^12*z^2 + a^14*z^2 + 7*a^6*z^4 - 
   4*a^8*z^4 + 13*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 + 
   4*a^10*z^6 - a^8*z^8, Knot[14, NonAlternating, 7691] -> 
  -3 - 2/a^8 + 6/a^6 - 10/a^4 + 10/a^2 - 7*z^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - 
   (31*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + (19*z^4)/a^6 - 
   (38*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 7692] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 2*z^2 - 
   a^2*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 
   8*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7693] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 4*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 7694] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 7695] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - z^2/a^4 - 3*a^2*z^2 + 9*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7696] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (5*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 7697] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 
   z^4 + (5*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7698] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (6*z^2)/a^10 - (17*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^4 + (2*z^4)/a^10 - (19*z^4)/a^8 + (27*z^4)/a^6 - 
   (9*z^4)/a^4 - (8*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 7699] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7700] -> -3 - 3/a^4 + 6/a^2 + 2*a^2 - a^4 - 7*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 7701] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + (5*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7702] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7703] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 7704] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^6)/a^6, Knot[14, NonAlternating, 7705] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + (3*z^2)/a^10 - (8*z^2)/a^6 + 
   (8*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - 
   z^6/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 7706] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 8*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 7707] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 7708] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7709] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^4 - 
   (2*z^4)/a^2, Knot[14, NonAlternating, 7710] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7711] -> 2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 7712] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 - 3*z^2 + 12*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 
   9*a^2*z^4 - 13*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 7713] -> -3 + 9*a^2 - 7*a^4 + 3*a^6 - 
   a^8 - 6*z^2 + 20*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   14*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 7714] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - 
   a^8 - 5*z^2 + 18*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   13*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 7715] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - 
   a^4 - 21*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 
   18*z^4 - z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 7716] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   10*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 7717] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 7718] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   15*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7719] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7720] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7721] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 7722] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 7723] -> 
  4 - 2/a^2 - a^4 - 2*z^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 7724] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^6 + z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 7725] -> a^(-16) - 8/a^12 + 8/a^10 + 
   (2*z^2)/a^16 - (8*z^2)/a^14 - (14*z^2)/a^12 + (32*z^2)/a^10 + z^4/a^16 - 
   (14*z^4)/a^14 + (3*z^4)/a^12 + (46*z^4)/a^10 - (7*z^6)/a^14 + 
   (14*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 7726] -> 
  7 - 2/a^4 - 4*a^2 + 19*z^2 - (5*z^2)/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 
   22*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 + 11*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 7727] -> a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^8 - 
   (10*z^2)/a^6 + (8*z^2)/a^4 + (4*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 7728] -> a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 
   4/a^8 + z^2/a^16 - (9*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 + 
   (14*z^2)/a^8 - (6*z^4)/a^14 + (11*z^4)/a^12 + (5*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 7729] -> 
  3 - a^(-6) + a^(-2) - 2*a^2 + 8*z^2 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 7*z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 7730] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 7731] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (6*z^2)/a^14 - (5*z^2)/a^12 + (12*z^2)/a^10 + 
   (9*z^2)/a^8 - (5*z^4)/a^14 + (2*z^4)/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 7732] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 7*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^4*z^2 + 
   7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 7733] -> -a^(-4) + 2/a^2 + z^2/a^10 + 
   z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 7734] -> a^(-16) - 3/a^14 + 2/a^12 - 2/a^10 + 
   2/a^8 + a^(-6) - (4*z^2)/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (6*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 7735] -> 4 - a^(-6) + a^(-4) - a^(-2) - 
   2*a^2 + 5*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 7736] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 7737] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7738] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - z^2/a^2 + 
   3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 7739] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[14, NonAlternating, 7740] -> 
  a^(-16) - 8/a^12 + 8/a^10 - (2*z^2)/a^14 - (16*z^2)/a^12 + (26*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^14 - (8*z^4)/a^12 + (31*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 7741] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   (7*z^2)/a^10 + (13*z^2)/a^8 + (2*z^2)/a^4 - (2*z^4)/a^10 + (12*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 7742] -> -2 + 4*a^2 + a^4 - 2*a^6 - z^2 - z^2/a^2 + 
   6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + z^4 + 3*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 7743] -> 2 - 2/a^4 + 2/a^2 - a^4 + 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 7744] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + z^4 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7745] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 + 
   (2*z^4)/a^6 + z^4/a^4, Knot[14, NonAlternating, 7746] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 - 3*a^4*z^2 + 22*a^6*z^2 - 11*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 22*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 7747] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - z^2 - 
   z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 7748] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (3*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 7749] -> 
  -2/a^6 + 3/a^4 + z^2 + (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7750] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 7751] -> 
  a^(-10) - 7/a^8 + 10/a^6 - 4/a^4 + a^(-2) + z^2/a^10 - (12*z^2)/a^8 + 
   (25*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - (6*z^4)/a^8 + (20*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7752] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 - 
   (6*z^4)/a^8 + (19*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 7753] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - (7*z^2)/a^12 + (23*z^2)/a^10 - 
   (27*z^2)/a^8 + (18*z^2)/a^6 - (2*z^4)/a^12 + (24*z^4)/a^10 - 
   (39*z^4)/a^8 + (20*z^4)/a^6 + (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 7754] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   12*z^2 - z^2/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 7755] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 7756] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 3*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7757] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 7758] -> -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 
   4*z^2 + 20*a^2*z^2 - 29*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   24*a^2*z^4 - 39*a^4*z^4 + 17*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 7759] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 7760] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 
   17*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7761] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7762] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (4*z^2)/a^8 + (22*z^2)/a^6 - (28*z^2)/a^4 + (12*z^2)/a^2 - z^4/a^8 + 
   (19*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 7763] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 
   9*a^4*z^2 + 33*a^6*z^2 - 21*a^8*z^2 + 3*a^10*z^2 - 12*a^4*z^4 + 
   40*a^6*z^4 - 18*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 7*a^8*z^6 - 
   a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 7764] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (2*z^2)/a^16 - z^2/a^14 - (30*z^2)/a^12 + (39*z^2)/a^10 + z^4/a^16 - 
   (5*z^4)/a^14 - (22*z^4)/a^12 + (55*z^4)/a^10 - (2*z^6)/a^14 - 
   (5*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 7765] -> -6 - a^(-6) - 5/a^4 + 13/a^2 - 17*z^2 - 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (39*z^2)/a^2 - 15*z^4 - z^4/a^6 - 
   (11*z^4)/a^4 + (46*z^4)/a^2 - 6*z^6 - (5*z^6)/a^4 + (27*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7766] -> 
  a^(-14) - 3/a^12 + 5/a^10 - 8/a^8 + 6/a^6 + z^2/a^14 - (7*z^2)/a^12 + 
   (17*z^2)/a^10 - (24*z^2)/a^8 + (17*z^2)/a^6 - (3*z^4)/a^12 + 
   (19*z^4)/a^10 - (32*z^4)/a^8 + (17*z^4)/a^6 + (8*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 7767] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   5*z^2 + (3*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 7768] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 11*a^4*z^2 - 2*a^8*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 7769] -> 
  a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 4/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (4*z^2)/a^12 + (2*z^2)/a^10 + (14*z^2)/a^8 - (2*z^4)/a^14 - (2*z^4)/a^12 + 
   (9*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 7770] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 
   4*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7771] -> a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 7772] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^10 - 
   (16*z^4)/a^8 + (23*z^4)/a^6 - (8*z^4)/a^4 - (8*z^6)/a^8 + (21*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7773] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 7774] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 7775] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 7776] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 
   2*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7777] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7778] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 7779] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^6)/a^6, Knot[14, NonAlternating, 7780] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (13*z^2)/a^10 - 
   (14*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + (12*z^4)/a^10 - (17*z^4)/a^8 + 
   (12*z^4)/a^6 + (3*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 7781] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 7782] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 7783] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (4*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7784] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 7785] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 7786] -> 3 - a^(-2) - a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   6*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 7787] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 - z^2/a^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 7788] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 7789] -> 
  -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 + z^2/a^10 - (10*z^2)/a^8 + (29*z^2)/a^6 - 
   (32*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (37*z^4)/a^6 - 
   (33*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7790] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7791] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (32*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (40*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 7792] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 
   6*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7793] -> -a^(-4) + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + 
   (7*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 7794] -> 
  4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 7795] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 6*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[14, NonAlternating, 7796] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 7797] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   5*z^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7798] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 7799] -> -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 7800] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (5*z^2)/a^14 - (15*z^2)/a^12 + (29*z^2)/a^10 + (2*z^2)/a^8 - 
   (5*z^4)/a^14 - (4*z^4)/a^12 + (36*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 7801] -> 7 - 2/a^4 - 4*a^2 + 16*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 + 14*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 7802] -> a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 - z^6/a^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 7803] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (3*z^2)/a^14 - (6*z^2)/a^12 + 
   (9*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 + (12*z^4)/a^10 + (13*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 7804] -> 2 - 2/a^4 + 2/a^2 - a^4 + 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 7805] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^4 + z^4 - z^4/a^8 - 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7806] -> 4 - 2/a^2 - a^4 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + z^4/a^4 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 7807] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + (7*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 + (5*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 7808] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2 + z^2/a^4 + z^4 + z^4/a^6 - z^4/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 7809] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 7810] -> -1 - a^(-6) + 3/a^4 - a^(-2) + 
   a^4 - 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 7811] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 7812] -> -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 7813] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   z^4 - z^4/a^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 7814] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 7815] -> 
  2 + a^(-4) - 2/a^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 7816] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   3*z^2 + z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7817] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 7818] -> 
  -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + (20*z^2)/a^6 - 
   (16*z^2)/a^4 + (6*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7819] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 7820] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7821] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + 
   (5*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 7822] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 
   3/a^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 7823] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 14*z^2 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   6*a^2*z^2 - 14*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 7824] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 7825] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 8*z^2 + (2*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   15*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 7826] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 
   3*a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 
   16*z^4 + (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 7827] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (13*z^2)/a^2 - z^4 + (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7828] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (5*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   z^4/a^12 + (8*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 7829] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 6*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 7830] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - z^4 + 12*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7831] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 7832] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 
   3/a^2 + z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7833] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7834] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (23*z^4)/a^6 - (7*z^4)/a^4 - (6*z^6)/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7835] -> 7 - 3/a^2 - 3*a^2 + 12*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 7836] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 4*z^2 + 
   7*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + 6*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 7837] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 7838] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (3*z^2)/a^14 - (21*z^2)/a^12 + 
   (35*z^2)/a^10 - (4*z^4)/a^14 - (15*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - 
   (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 7839] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^10 - (16*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - 
   (16*z^4)/a^8 + (36*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 7840] -> -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 + 
   7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + 6*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 7841] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (9*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - z^6/a^10 + 
   z^6/a^6, Knot[14, NonAlternating, 7842] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 7843] -> -2*a^4 + 8*a^6 - 5*a^8 - 8*a^4*z^2 + 
   29*a^6*z^2 - 14*a^8*z^2 + a^10*z^2 - 11*a^4*z^4 + 37*a^6*z^4 - 
   15*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 7844] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 4*z^2 + 10*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 7845] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 
   4*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 - a^2*z^2 - 3*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 7846] -> a^(-12) - 3/a^10 + 3/a^6 + 
   z^2/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 7847] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 - (10*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7848] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (17*z^2)/a^4 + (9*z^2)/a^2 + (13*z^4)/a^6 - (32*z^4)/a^4 + 
   (12*z^4)/a^2 + (6*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 7849] -> 
  -a^4 + 6*a^6 - 4*a^8 - 6*a^4*z^2 + 23*a^6*z^2 - 10*a^8*z^2 - 11*a^4*z^4 + 
   34*a^6*z^4 - 12*a^8*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 7850] -> 
  2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + (3*z^2)/a^16 - (9*z^2)/a^14 - 
   (17*z^2)/a^12 + (34*z^2)/a^10 + z^4/a^16 - (8*z^4)/a^14 - (13*z^4)/a^12 + 
   (53*z^4)/a^10 - (2*z^6)/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 7851] -> 
  -4 - 2/a^6 - a^(-4) + 8/a^2 - 12*z^2 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (26*z^2)/a^2 - 13*z^4 - z^4/a^6 - (8*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 - 
   (5*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7852] -> a^(-12) - 6/a^8 + 6/a^6 + z^2/a^12 + 
   (4*z^2)/a^10 - (19*z^2)/a^8 + (17*z^2)/a^6 + (10*z^4)/a^10 - 
   (30*z^4)/a^8 + (17*z^4)/a^6 + (6*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 7853] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 7854] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 7855] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - (3*z^2)/a^14 - 
   (12*z^2)/a^12 + (15*z^2)/a^10 + (9*z^2)/a^8 - (2*z^4)/a^14 - 
   (5*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 7856] -> 
  -2 - a^(-8) + 4/a^2 - 5*z^2 - z^2/a^8 + (2*z^2)/a^4 + (10*z^2)/a^2 - 
   4*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 7857] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (5*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 7858] -> 2*a^6 + a^8 - 2*a^10 + a^6*z^2 + 
   16*a^8*z^2 - 9*a^10*z^2 - 6*a^6*z^4 + 32*a^8*z^4 - 12*a^10*z^4 - 
   5*a^6*z^6 + 24*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + 
   a^8*z^10, Knot[14, NonAlternating, 7859] -> 
  -a^(-8) + 2/a^4 + (5*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 + (11*z^4)/a^8 - 
   (27*z^4)/a^6 + (12*z^4)/a^4 + (6*z^6)/a^8 - (23*z^6)/a^6 + (6*z^6)/a^4 + 
   z^8/a^8 - (8*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 7860] -> 5 - 4/a^2 + 4*a^2 - 4*a^4 + 24*z^2 - 
   (14*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 41*z^4 - (16*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + 29*z^6 - (7*z^6)/a^2 - a^4*z^6 + 9*z^8 - z^8/a^2 + z^10, 
 Knot[14, NonAlternating, 7861] -> a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 
   2*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 2*a^4*z^4 + 5*a^6*z^4 + 10*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 7862] -> -2/a^6 + 3/a^4 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^8 - (9*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 7863] -> 
  6 - a^(-4) - 2/a^2 - 2*a^4 + 17*z^2 - (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 17*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 
   7*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 7864] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   3*a^4*z^2 - 3*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + a^4*z^4 - 3*a^6*z^4 + 
   13*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 7865] -> a^2 - a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 - a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + a^8*z^6, Knot[14, NonAlternating, 7866] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7867] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 7868] -> -3 - 2/a^4 + 5/a^2 + a^2 - 18*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 7869] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 7870] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 7871] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - (6*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 7872] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   13*z^2 + z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 6*z^6 - (6*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7873] -> 1 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7874] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^6)/a^6, Knot[14, NonAlternating, 7875] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 7876] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7877] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 7878] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7879] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 7*z^2 + 
   25*a^2*z^2 - 27*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 
   36*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 24*a^4*z^6 + 
   7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 7880] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - z^2/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + z^4/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7881] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7882] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 15*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 7883] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7884] -> -4 - 2/a^4 + 6/a^2 + a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6, Knot[14, NonAlternating, 7885] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (2*z^4)/a^4 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7886] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 21*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 20*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 - 8*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 7887] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 6*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 7888] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7889] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + 
   (7*z^4)/a^10 - (24*z^4)/a^8 + (21*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^10 - 
   (13*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 7890] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 7891] -> a^(-14) - 5/a^12 + 6/a^10 - 4/a^8 + 
   3/a^6 - (6*z^2)/a^12 + (13*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 - 
   z^4/a^12 + (10*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 7892] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7893] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   4*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 7894] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 
   3*a^8 - 3*z^2 + 10*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 7895] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^6)/a^6, Knot[14, NonAlternating, 7896] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (18*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 7897] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 4*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 7898] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - 9*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (22*z^2)/a^2 + a^2*z^2 - 16*z^4 + z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 
   3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7899] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 11*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (25*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 7900] -> -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 19*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 7901] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 7902] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + z^6/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 7903] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 - 
   (8*z^4)/a^8 + (21*z^4)/a^6 - (6*z^4)/a^4 - (2*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 7904] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 7905] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^2 + 
   (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 7906] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 7907] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 7908] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (13*z^2)/a^8 + (24*z^2)/a^6 - 
   (6*z^2)/a^4 - (9*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + 
   (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 7909] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (14*z^2)/a^10 - (24*z^2)/a^8 + (18*z^2)/a^6 + 
   (10*z^4)/a^10 - (25*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - 
   (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 7910] -> 3/a^14 - 11/a^12 + 9/a^10 + (3*z^2)/a^14 - 
   (26*z^2)/a^12 + (32*z^2)/a^10 + (3*z^2)/a^8 - (17*z^4)/a^12 + 
   (39*z^4)/a^10 + (7*z^4)/a^8 - (3*z^6)/a^12 + (19*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 7911] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (4*z^2)/a^12 + (9*z^2)/a^10 - 
   (8*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + (5*z^4)/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^6)/a^8, Knot[14, NonAlternating, 7912] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 7913] -> -3*a^4 + 11*a^6 - 8*a^8 + 
   a^10 - 9*a^4*z^2 + 32*a^6*z^2 - 16*a^8*z^2 + a^10*z^2 - 8*a^4*z^4 + 
   31*a^6*z^4 - 10*a^8*z^4 - 2*a^4*z^6 + 13*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 7914] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 7*z^2 + 
   22*a^2*z^2 - 20*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 
   18*a^4*z^4 + 5*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 7915] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 
   2*z^2 + 6*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 7916] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 
   6*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 7917] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   9*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 8*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 7918] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 7919] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 7920] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 7921] -> -a^(-2) + 5*a^2 - 3*a^4 - 7*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 7922] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 + 
   z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 7923] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 
   6*z^4 + z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 7924] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 7925] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 7926] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 7927] -> -3 - 2/a^4 + 5/a^2 + a^2 - 18*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 7928] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 7929] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 7930] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 11*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 
   4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7931] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7932] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 7933] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7934] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 
   11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7935] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7936] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   6*z^2 + z^2/a^6 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 7937] -> a^(-10) - 3/a^8 + 3/a^6 - 
   2/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - (2*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 7938] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 7939] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 
   z^4 + (5*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 7940] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 7941] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (5*z^2)/a^12 + (7*z^2)/a^10 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - z^4/a^12 + (8*z^4)/a^10 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 7942] -> 4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 
   10*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   z^4/a^2 - 11*a^2*z^4 + a^6*z^4 + 2*z^6 - 6*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 7943] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 7944] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 
   2/a^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 7945] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 6*z^2 + 
   25*a^2*z^2 - 30*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 5*z^4 + 27*a^2*z^4 - 
   38*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - z^6 + 13*a^2*z^6 - 24*a^4*z^6 + 
   7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 7946] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 7947] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7948] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7949] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 7950] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   19*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 7951] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 11*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^4 + 
   (5*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 7952] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 7953] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 7954] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7955] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + (4*z^2)/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 7956] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (5*z^2)/a^8 + (19*z^2)/a^6 - 
   (23*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 7957] -> -a^(-12) + 5/a^10 - 10/a^8 + 
   7/a^6 - (2*z^2)/a^12 + (13*z^2)/a^10 - (25*z^2)/a^8 + (18*z^2)/a^6 + 
   (10*z^4)/a^10 - (25*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - 
   (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 7958] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   8*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + z^4/a^2 + 4*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 7959] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 6*z^2 + 
   22*a^2*z^2 - 23*a^4*z^2 + 7*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 7960] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 
   25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 10*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 7961] -> 4 - a^(-2) - a^2 - 3*a^4 + 
   2*a^6 + 8*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 7962] -> -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7963] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 7964] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   11*z^2 + z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 7965] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (4*z^2)/a^8 + (22*z^2)/a^6 - 
   (28*z^2)/a^4 + (12*z^2)/a^2 - z^4/a^8 + (19*z^4)/a^6 - (38*z^4)/a^4 + 
   (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 7966] -> 
  -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 9*a^4*z^2 + 33*a^6*z^2 - 21*a^8*z^2 + 
   3*a^10*z^2 - 12*a^4*z^4 + 40*a^6*z^4 - 18*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 
   25*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 7967] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (2*z^2)/a^16 - z^2/a^14 - (30*z^2)/a^12 + (39*z^2)/a^10 + z^4/a^16 - 
   (5*z^4)/a^14 - (22*z^4)/a^12 + (55*z^4)/a^10 - (2*z^6)/a^14 - 
   (5*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 7968] -> -6 - a^(-6) - 5/a^4 + 13/a^2 - 17*z^2 - 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (39*z^2)/a^2 - 15*z^4 - z^4/a^6 - 
   (11*z^4)/a^4 + (46*z^4)/a^2 - 6*z^6 - (5*z^6)/a^4 + (27*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7969] -> 
  a^(-14) - 3/a^12 + 5/a^10 - 8/a^8 + 6/a^6 + z^2/a^14 - (7*z^2)/a^12 + 
   (17*z^2)/a^10 - (24*z^2)/a^8 + (17*z^2)/a^6 - (3*z^4)/a^12 + 
   (19*z^4)/a^10 - (32*z^4)/a^8 + (17*z^4)/a^6 + (8*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 7970] -> -6/a^8 + 12/a^6 - 7/a^4 + 2/a^2 + 
   z^2/a^10 - (14*z^2)/a^8 + (37*z^2)/a^6 - (24*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (42*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 7971] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (13*z^2)/a^8 + (6*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 - 
   (4*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7972] -> 2 - 3*a^4 + 2*a^6 - 2*z^2 + z^2/a^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 7973] -> -4/a^8 + 7/a^6 - 3/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 7974] -> -a^(-12) + 4/a^10 - 5/a^8 + 2/a^6 - 
   a^(-4) + 2/a^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - (4*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 7975] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^4 + 
   3*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 7976] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (18*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 7977] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 4*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 7978] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - 9*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (22*z^2)/a^2 + a^2*z^2 - 16*z^4 + z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 
   3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 7979] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 11*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (25*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 7980] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   7*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7981] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 7982] -> 2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   3*z^4 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 7983] -> -a^2 + a^4 + 7*a^6 - 8*a^8 + 2*a^10 - 
   3*a^2*z^2 + a^4*z^2 + 22*a^6*z^2 - 16*a^8*z^2 + 2*a^10*z^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 24*a^6*z^4 - 11*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 12*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 7984] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 7985] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 7986] -> 
  a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (14*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 - (5*z^4)/a^6 + 
   (13*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 7987] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 7988] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 7989] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 7990] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 21*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   27*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 19*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 7991] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 7992] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^6)/a^6, Knot[14, NonAlternating, 7993] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (5*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (4*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 7994] -> -1 - a^(-6) + 2/a^4 + a^2 + 3*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 7995] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 7996] -> 2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   6*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   7*z^4 - z^4/a^2 - 10*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 7997] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (14*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 - 
   z^4/a^4 - (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 7998] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 7999] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 + z^2/a^8 + z^2/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 - 5*z^4 - z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8000] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8001] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 8002] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (5*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 8003] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 8004] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - 2*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8005] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 8006] -> -1 - a^(-6) + 3/a^2 - 7*z^2 - z^2/a^6 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 8007] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 8008] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 8009] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 20*z^2 + (4*z^2)/a^2 + 32*a^2*z^2 - 
   16*a^4*z^2 + 2*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 40*a^2*z^4 - 16*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + z^6/a^2 + 25*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 8010] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + z^2/a^8 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (17*z^2)/a^2 - 4*z^4 - (10*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8011] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 6*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (22*z^2)/a^2 - a^2*z^2 - 3*z^4 + z^4/a^6 - (11*z^4)/a^4 + (20*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8012] -> -a^(-2) + 5*a^2 - 3*a^4 - 8*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   27*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 8013] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (17*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (15*z^4)/a^6 - (2*z^4)/a^4 - (4*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 8014] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 15*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 13*z^4 - z^4/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8015] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 
   3*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 8016] -> 
  3*a^6 - 5*a^8 + 9*a^10 - 8*a^12 + 2*a^14 + 11*a^6*z^2 - 17*a^8*z^2 + 
   30*a^10*z^2 - 16*a^12*z^2 + a^14*z^2 + 15*a^6*z^4 - 27*a^8*z^4 + 
   35*a^10*z^4 - 8*a^12*z^4 + 7*a^6*z^6 - 22*a^8*z^6 + 15*a^10*z^6 - 
   a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 8017] -> 3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 2*a^10 + 
   6*a^2*z^2 - 14*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + 
   2*a^2*z^4 - 12*a^4*z^4 + 12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 
   5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 8018] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 11*a^4*z^2 + 
   12*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 8019] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 
   z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 8020] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 8021] -> 
  a^4 + 3*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + a^6*z^2 + 10*a^10*z^2 - 
   6*a^12*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + 
   a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 8022] -> 1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 
   3*a^2*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 8023] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (10*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8024] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8025] -> 1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + 3*z^2 - 
   7*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8026] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 2*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 8027] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   3*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8028] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 8029] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 
   5*z^2 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   5*a^2*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8030] -> 1 - a^2 + 2*a^6 - a^10 + 3*z^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 - a^2*z^6, Knot[14, NonAlternating, 8031] -> 
  2*a^2 - a^4 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 8032] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 
   8*z^2 - z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 8033] -> -7 + 4/a^2 + 4*a^2 - 15*z^2 - 
   z^2/a^6 - z^2/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - z^4/a^6 - z^4/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8034] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 4*a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 + 
   a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8035] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 
   3*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 8036] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8037] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 8038] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 - 3*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8039] -> 1 - 2*a^2 + 3*a^4 - a^6 + a^8 - a^10 + 
   3*z^2 - 5*a^2*z^2 + 4*a^4*z^2 + 2*a^8*z^2 + z^4 - 5*a^2*z^4 - a^6*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 8040] -> 1 + a^6 - 2*a^8 + a^10 + z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 8041] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 8042] -> 
  -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - z^2 + z^2/a^2 - 6*a^2*z^2 + 
   10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + z^4 - 8*a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8043] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 8044] -> a^2 + a^6 - a^8 + z^2 + a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 8045] -> -1 + 4*a^2 - 2*a^4 + z^2/a^4 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 8046] -> 
  4 - a^(-4) - 2*a^2 + 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   5*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8047] -> -1 - 2/a^4 + 4/a^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (5*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 8048] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 8049] -> 2 - a^(-2) + a^4 - a^6 - z^2/a^2 + 
   5*a^2*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 4*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 8050] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 8051] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   z^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 8052] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   5*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 8053] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8054] -> 3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - 
   13*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 3*z^4 - 12*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8055] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8056] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 - z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 8057] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 8058] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - 2*z^2 - z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 8059] -> 
  1 + 3*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8060] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8061] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8062] -> -1 + a^(-4) + a^4 - 7*z^2 + (2*z^2)/a^2 + 
   a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8063] -> 
  3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 4*z^2 - 12*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 + 3*z^4 - 11*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8064] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^10 + 5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 
   2*a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^4*z^6 - 
   a^6*z^6, Knot[14, NonAlternating, 8065] -> -2 + 2/a^2 + a^4 - 9*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8066] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   5*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8067] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 8068] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8069] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 8070] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 8071] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 8072] -> 
  a^2 + a^4 - 2*a^8 + a^10 + a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 
   a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 8073] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 6*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 9*a^4*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8074] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 8075] -> -1 + a^(-4) + a^4 - 7*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 8076] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8077] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[14, NonAlternating, 8078] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 8079] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 8080] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 6*z^2 + z^2/a^6 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8081] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 8082] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*z^4 - 
   3*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 8083] -> 
  -1 + a^(-4) + a^4 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 8084] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 6*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 
   4*a^10*z^2 + 2*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 8085] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 3*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 8086] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 8087] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 8088] -> 
  1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 + z^2 - z^2/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 8089] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   2*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 2*z^4 + z^4/a^2, 
 Knot[14, NonAlternating, 8090] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^6 + z^4/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 8091] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^8 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^6 + (2*z^4)/a^4, 
 Knot[14, NonAlternating, 8092] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   2*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 8093] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 8094] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 8095] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 15*z^2 - z^2/a^6 + (12*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8096] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8097] -> a^6 + 2*a^8 - 3*a^12 + a^14 + 5*a^6*z^2 + 
   4*a^8*z^2 + 7*a^10*z^2 - 8*a^12*z^2 + a^14*z^2 + 6*a^6*z^4 + a^8*z^4 + 
   11*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 + 4*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 8098] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8099] -> a^2 + 3*a^6 - 5*a^8 + 2*a^10 + 2*a^2*z^2 - 
   4*a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 8100] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 
   2*a^8 + 4*z^2 - 9*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   12*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 + z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8101] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - z^2/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8102] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8103] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   15*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 8104] -> 2*a^2 - a^4 + a^6 - 2*a^8 + 
   a^10 + a^2*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 8105] -> 
  1 - a^2 + a^4 + a^8 - a^10 + 3*z^2 - 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8106] -> a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 8107] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8108] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + 
   a^2 - 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 8109] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 8110] -> 
  2 + a^(-4) - 2/a^2 + 7*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + z^4/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 8111] -> 
  a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 8112] -> a^(-2) - a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8113] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 
   3*z^2 - 6*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8114] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8115] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8116] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 6*a^4*z^2 - 4*a^6*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 
   2*a^8*z^6, Knot[14, NonAlternating, 8117] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8118] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8119] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 - 
   a^4*z^2 + 18*a^6*z^2 - 22*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 
   25*a^6*z^4 - 26*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 8120] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 
   3*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 8121] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   2*a^6*z^2 - 2*z^4 + 4*a^2*z^4 + a^2*z^6, Knot[14, NonAlternating, 8122] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 8123] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 6*a^4*z^2 - 
   4*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + 2*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 
   a^6*z^6, Knot[14, NonAlternating, 8124] -> -2 + a^(-2) + 2*a^2 + a^4 - 
   a^6 - 6*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^2 - z^6, 
 Knot[14, NonAlternating, 8125] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 8126] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - 4*z^2 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 8127] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 8128] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 
   2*a^4 + 3*z^2 - (2*z^2)/a^4 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 2*a^2*z^4 + 
   z^6, Knot[14, NonAlternating, 8129] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   6*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8130] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 8*z^2 - (6*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8131] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 3*z^2 + z^2/a^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - z^4 + a^4*z^4, Knot[14, NonAlternating, 8132] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 8133] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 - 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 8134] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8135] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 8136] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 - a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 8137] -> 3 - a^(-4) + a^(-2) - 3*a^2 + 
   a^4 + 9*z^2 + z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 8138] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 8139] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 + a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + a^8*z^4 - a^4*z^6 - 
   a^6*z^6, Knot[14, NonAlternating, 8140] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 8141] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 8142] -> -3 - a^(-4) + 4/a^2 + a^4 - 4*z^2 - 
   z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 8143] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 + a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 8144] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 8145] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 4*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   3*z^4 - 3*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 8146] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^4, Knot[14, NonAlternating, 8147] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 + a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 8148] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 8149] -> 
  a^(-2) - a^4 + a^6 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^4*z^2 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8150] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 8151] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 8152] -> 
  3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 6*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8153] -> 2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8154] -> 4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 8155] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 8156] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 18*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8157] -> 
  4*a^2 - 6*a^4 + 6*a^6 - 5*a^8 + 2*a^10 + 6*a^2*z^2 - 13*a^4*z^2 + 
   11*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   7*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 8158] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8159] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 8160] -> 
  2 - 2*a^2 + 2*a^4 - a^6 - a^8 + a^10 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 8161] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 + 6*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 8162] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 8163] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 6*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, 
 Knot[14, NonAlternating, 8164] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 3*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 8165] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^4 - a^6 + a^8 + 2*z^2 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 8166] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 
   8*z^2 - z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   10*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8167] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + z^4/a^6 + (3*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 8168] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 3*z^2 + (5*z^2)/a^8 - 
   (8*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 8169] -> 2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^4 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 6*z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8170] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8171] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 
   4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 8172] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^6*z^2 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 8173] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^2 - 2*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 8174] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 
   3*a^4 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 8175] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   2*a^2*z^2 - 5*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + 2*a^6*z^6, Knot[14, NonAlternating, 8176] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 8177] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 8178] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 6*z^2 - 
   (4*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 11*z^4 - (4*z^4)/a^2 - 
   2*a^4*z^4 + 6*z^6 - z^6/a^2 + z^8, Knot[14, NonAlternating, 8179] -> 
  -3 + 2/a^2 + 2*a^2 - 2*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8180] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 8181] -> 
  3*a^2 - 3*a^4 + a^6 + 5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 
   2*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 8182] -> -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 6*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   5*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8183] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 8184] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 8185] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (15*z^2)/a^10 - (20*z^2)/a^8 + (6*z^2)/a^6 + 
   (6*z^2)/a^4 + (11*z^4)/a^10 - (23*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 8186] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 
   6*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8187] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 8188] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 8189] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^4 - a^2*z^2 - z^4 + 
   z^4/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 8190] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   z^2 + z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8191] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - 3*a^4*z^2 + 
   a^8*z^2 - a^2*z^4 - 2*a^4*z^4 - a^6*z^4, Knot[14, NonAlternating, 8192] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + 
   z^4 - z^4/a^4, Knot[14, NonAlternating, 8193] -> 
  -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - 2*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 8194] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^6 + (2*z^4)/a^4, 
 Knot[14, NonAlternating, 8195] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 8196] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^4 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2, 
 Knot[14, NonAlternating, 8197] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 + (5*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 8198] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 8199] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 8200] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 8201] -> 
  -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 12*z^2 + z^2/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 8*z^4 + z^4/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8202] -> 
  2 - 3*a^4 + 2*a^6 - z^2 + 4*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 
   8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8203] -> -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 8204] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   z^2 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 8205] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 8206] -> 
  a^(-2) - a^6 + a^8 - 4*z^2 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 
   2*a^4*z^6, Knot[14, NonAlternating, 8207] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8208] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 8209] -> -2 + a^(-4) + 2*a^2 - 8*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 8210] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   4*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 8211] -> 2*a^2 - a^6 - a^8 + a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 8212] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + z^4/a^2 + 
   a^2*z^4 - z^6, Knot[14, NonAlternating, 8213] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8214] -> -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 8215] -> 4 - 2/a^2 - a^4 + 9*z^2 - 
   (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 8216] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   13*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8217] -> a^(-4) - 2*a^2 + 2*a^4 - z^2/a^4 - 
   5*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 8218] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - 3*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8219] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 8220] -> -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 8221] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   6*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 
   19*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 8222] -> -8 + 4/a^2 + 6*a^2 - a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 8223] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 16*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 8224] -> 
  2 + a^2 - 6*a^4 + 5*a^6 - a^8 - z^2 + 5*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8225] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 8226] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 2*z^2 - z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8227] -> 
  -1 + a^(-4) + a^4 - 5*z^2 + 2*a^2*z^2 - a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8228] -> 2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8229] -> 
  3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 4*z^2 - 10*a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 3*z^4 - 10*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8230] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6, 
 Knot[14, NonAlternating, 8231] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 + 5*a^2*z^2 - 
   7*a^4*z^2 + 3*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 - a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 8232] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 3*z^4 + 2*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 8233] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8234] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   a^4*z^2 + 11*a^6*z^2 - 13*a^8*z^2 + 5*a^10*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 8235] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8236] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 8237] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 8238] -> 
  3 - 5*a^2 + 3*a^4 + a^6 - a^8 + 5*z^2 - 13*a^2*z^2 + 7*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 4*z^4 - 13*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 + z^6 - 
   6*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8239] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8240] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8241] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2 - 4*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 
   6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8242] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8243] -> 2 - a^2 - a^4 + a^6 - a^2*z^2 - a^4*z^2 - 
   z^4 + a^2*z^4 + a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8244] -> -1 + a^(-4) + a^4 - z^2 - z^2/a^4 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8245] -> -4 - 3/a^4 + 7/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8246] -> a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 
   5*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 
   18*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 8247] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 8*z^2 + 
   z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + z^4/a^4 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 8248] -> 
  3 - 3*a^2 - 2*a^4 + 5*a^6 - 2*a^8 + 5*z^2 - 8*a^2*z^2 - 5*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + 3*z^4 - 10*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 8249] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - z^4 + 3*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8250] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 
   4*z^2 + (7*z^2)/a^4 - (11*z^2)/a^2 + z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 8251] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 8252] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 8253] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 + 6*z^4 - z^4/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8254] -> 3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   8*a^6*z^2 - 4*a^8*z^2 + 10*a^10*z^2 - 6*a^12*z^2 + 8*a^6*z^4 - 4*a^8*z^4 + 
   9*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 8255] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   5*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8256] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (17*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 8257] -> 
  -5 + 3/a^2 + a^2 + 4*a^4 - 2*a^6 - 11*z^2 + (5*z^2)/a^2 + 6*a^4*z^2 - 
   a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 8258] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 8259] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 8260] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + (2*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 8261] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 8262] -> -3 - a^(-4) + 4/a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 8263] -> a^2 + 3*a^4 - 6*a^6 + 4*a^8 - a^10 + 
   a^2*z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   8*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 8264] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 8265] -> 2 - a^(-2) + a^2 - a^4 + 
   3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8266] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 15*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 8267] -> 
  a^4 + 5*a^6 - 9*a^8 + 5*a^10 - a^12 - a^4*z^2 + 18*a^6*z^2 - 23*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 25*a^6*z^4 - 26*a^8*z^4 + 
   7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 8268] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 8269] -> 
  a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 7*a^10*z^2 - 4*a^12*z^2 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   4*a^10*z^4 - a^8*z^6, Knot[14, NonAlternating, 8270] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (13*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 8271] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 - a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 8272] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^4 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8273] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + 
   a^4 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + z^4 - z^4/a^4, 
 Knot[14, NonAlternating, 8274] -> -1 + a^(-4) + a^2 - a^6 + a^8 - 3*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^6*z^2 + z^4 + 3*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 8275] -> 3 + a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 
   4/a^2 + 4*z^2 - (3*z^2)/a^8 + z^2/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 + z^4 - 
   z^4/a^8 + (11*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 8276] -> a^(-8) - a^(-6) - a^(-4) + 
   2/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2, Knot[14, NonAlternating, 8277] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 8278] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   8*z^2 - (4*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8279] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 4*z^2 - 
   (4*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 8280] -> 3*a^4 - 2*a^6 + 6*a^4*z^2 - 4*a^6*z^2 - 
   a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 8281] -> 
  3*a^8 - 2*a^12 + 15*a^8*z^2 - a^12*z^2 - 2*a^14*z^2 + 19*a^8*z^4 + 
   2*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^10*z^6 + a^12*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 8282] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 + 
   2*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 8283] -> a^6 + 2*a^8 - 2*a^10 + a^12 - 
   a^14 + 5*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 + a^12*z^2 - a^14*z^2 + 
   5*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 8284] -> 2 - a^(-6) + a^(-4) - a^2 + 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^4*z^2 + z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 8285] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8286] -> -3 + a^(-4) + 4*a^2 - a^4 - 4*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 8287] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8288] -> 1 + z^2 - z^2/a^4 + a^2*z^2 - a^6*z^2 + 
   z^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 8289] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 8290] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 8291] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 8292] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 - z^6/a^4, Knot[14, NonAlternating, 8293] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 8294] -> 
  a^4 + a^8 - a^12 + 5*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 8295] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   5*z^2 - z^2/a^4 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 8296] -> 
  1 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + a^6*z^2 + 3*z^4 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 8297] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 8298] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 8299] -> 4*a^2 - 5*a^4 + 2*a^6 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8300] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 
   a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 8301] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8302] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 8303] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (4*z^2)/a^12 + (16*z^2)/a^10 - (24*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 - (32*z^4)/a^8 + (17*z^4)/a^6 + 
   (8*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 8304] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (20*z^2)/a^6 - (23*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^8 + (20*z^4)/a^6 - 
   (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 8305] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   (4*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8306] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 8307] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (27*z^2)/a^4 + (12*z^2)/a^2 - z^4/a^8 + (18*z^4)/a^6 - (38*z^4)/a^4 + 
   (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 8308] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (17*z^2)/a^10 - (20*z^2)/a^8 + (15*z^2)/a^6 - (4*z^4)/a^12 + 
   (21*z^4)/a^10 - (29*z^4)/a^8 + (16*z^4)/a^6 + (9*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 8309] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 8310] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8311] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 
   6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8312] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   z^2/a^16 - (7*z^2)/a^14 - (9*z^2)/a^12 + (25*z^2)/a^10 + (3*z^2)/a^8 - 
   (6*z^4)/a^14 + (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 8313] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 8314] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 
   z^2 - z^2/a^8 + (8*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 8315] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 11*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 9*z^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 8316] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 - (6*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + 
   z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[14, NonAlternating, 8317] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 8318] -> 
  -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 + z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 8319] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^8 - (5*z^4)/a^6 - 
   z^4/a^2 - z^6/a^6, Knot[14, NonAlternating, 8320] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8321] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8322] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8323] -> a^(-14) - 6/a^12 + 8/a^10 - 
   5/a^8 + 3/a^6 + z^2/a^14 - (14*z^2)/a^12 + (29*z^2)/a^10 - (18*z^2)/a^8 + 
   (12*z^2)/a^6 - (8*z^4)/a^12 + (34*z^4)/a^10 - (28*z^4)/a^8 + 
   (15*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 8324] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   z^2/a^8 - (8*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8325] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 8326] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + z^2/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - (9*z^4)/a^8 + (23*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (11*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 8327] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8328] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 3*z^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8329] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (19*z^2)/a^4 + (32*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 8330] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 8331] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (3*z^2)/a^10 - (21*z^2)/a^8 + 
   (33*z^2)/a^6 - (9*z^2)/a^4 + z^4/a^10 - (18*z^4)/a^8 + (40*z^4)/a^6 - 
   (12*z^4)/a^4 - (7*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 8332] -> 
  -2 + 5*a^2 - a^4 - a^6 - 4*z^2 + 11*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8333] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 8334] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 3/a^6 + 3/a^4 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (9*z^2)/a^6 + (7*z^2)/a^4 + (6*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 8335] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (3*z^2)/a^14 - (4*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 8336] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8337] -> 3 - a^(-2) - a^2 + 7*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8338] -> -a^2 + 3*a^4 - a^10 - 3*a^2*z^2 + 
   8*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 8339] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8340] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 
   7*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8341] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 8342] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 
   3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8343] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + 
   z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 8344] -> 3*a^6 - a^8 - a^10 - 2*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 3*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - 
   a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 8345] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + (2*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 8346] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + 3*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^4*z^2 + 
   4*z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8347] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (4*z^2)/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^4)/a^14 - (5*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (2*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 8348] -> 
  -2 + 4*a^2 - a^8 - 3*z^2 + 6*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - z^4 + 
   4*a^2*z^4 + 4*a^4*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8349] -> -2 + 5*a^2 - a^4 - a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8350] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 8351] -> 
  4 - 2/a^2 - a^4 + 6*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 8352] -> -a^(-4) + 2/a^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8353] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^6 - (25*z^4)/a^4 + 
   (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 8354] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8355] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 8*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 
   6*a^2*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8356] -> -1 + 3*a^2 - a^6 - 3*z^2 + 7*a^2*z^2 - 
   a^6*z^2 - 2*z^4 + 6*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8357] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 6*a^4*z^2 + 
   23*a^6*z^2 - 9*a^8*z^2 - 10*a^4*z^4 + 33*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - 
   6*a^4*z^6 + 23*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 8358] -> a^(-12) - 4/a^10 + 2/a^8 + 
   2/a^6 - (3*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 8359] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   3*z^2 + 4*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + 5*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 8360] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - 
   (4*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 8361] -> -1 + 5*a^4 - 2*a^6 - a^8 - 3*z^2 + 
   4*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8362] -> 2/a^16 - 3/a^14 - 5/a^12 + 
   7/a^10 + (2*z^2)/a^16 - (8*z^2)/a^14 - (15*z^2)/a^12 + (33*z^2)/a^10 - 
   (6*z^4)/a^14 - (11*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 8363] -> -4/a^8 + 6/a^6 - a^(-4) - z^2/a^10 - 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8364] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 8365] -> -3 - 2/a^6 + 6/a^2 - 9*z^2 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 - z^4/a^6 - (6*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 8366] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 - z^2/a^12 + (6*z^2)/a^10 - 
   (16*z^2)/a^8 + (15*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (27*z^4)/a^8 + 
   (16*z^4)/a^6 + (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 8367] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (11*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (7*z^4)/a^10 - (11*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 8368] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8369] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 - z^4/a^6 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 8370] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 8371] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8372] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 8373] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (15*z^2)/a^8 + (7*z^2)/a^4 + (10*z^4)/a^10 - (19*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 8374] -> 
  2*a^6 + a^8 - 2*a^10 - a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 - 
   2*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 8375] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8376] -> 
  -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + (4*z^4)/a^8 - (11*z^4)/a^6 + z^4/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - z^8/a^6, Knot[14, NonAlternating, 8377] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - z^2 - 2*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - z^4 + 
   a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 8378] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   z^2/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^8 + 
   (7*z^4)/a^6 + z^6/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 8379] -> -1 - a^2 + 8*a^4 - 5*a^6 - 4*z^2 + 
   4*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + 10*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 - z^6 + 6*a^2*z^6 + a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8380] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + 
   z^2/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 8381] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 13*z^2 - (3*z^2)/a^4 - z^2/a^2 - 
   3*a^4*z^2 + 16*z^4 - z^4/a^4 - a^4*z^4 + 7*z^6 + z^8, 
 Knot[14, NonAlternating, 8382] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (4*z^4)/a^6 + 
   (11*z^4)/a^4 - z^6/a^6 + (6*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 8383] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 8384] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8385] -> 
  a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^4)/a^12 - (4*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 8386] -> 3 + a^(-6) - 3/a^2 + 6*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8387] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8388] -> -a^(-12) + 2/a^10 - 3/a^6 + 2/a^4 + 
   a^(-2) + (3*z^2)/a^10 - (5*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - z^4/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8389] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (7*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 8390] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 8391] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 8392] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 8393] -> -a^(-4) + 2/a^2 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^2 + (4*z^4)/a^8 - (11*z^4)/a^6 + z^4/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - z^8/a^6, Knot[14, NonAlternating, 8394] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 10*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + 13*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 6*z^6 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8395] -> -a^(-6) - a^(-4) + 4/a^2 - a^2 + z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 8396] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 - z^2/a^12 - (5*z^2)/a^10 + 
   (8*z^2)/a^8 + (5*z^2)/a^6 + (2*z^4)/a^12 - (6*z^4)/a^10 + (10*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 8397] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^8 - 
   (5*z^4)/a^6 - z^4/a^2 - z^6/a^6, Knot[14, NonAlternating, 8398] -> 
  4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 8*z^2 - z^2/a^6 + z^2/a^4 - 
   4*a^2*z^2 + 6*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 8399] -> -3/a^6 + 5/a^4 - a^(-2) - z^2 - z^2/a^8 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^4 + 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 8400] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (6*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^6/a^10, Knot[14, NonAlternating, 8401] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 8402] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 8403] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (6*z^2)/a^12 + (10*z^2)/a^10 + (10*z^2)/a^8 - (5*z^4)/a^14 + z^4/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 8404] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 4*z^2 - 
   z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8405] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 8406] -> 
  a^(-14) - 3/a^12 + 3/a^8 - a^(-6) + a^(-4) - (5*z^2)/a^12 + (6*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 + 
   z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8407] -> -3 - a^(-6) + 4/a^2 + a^2 - 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 8408] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 8409] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (15*z^4)/a^6 - (36*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 8410] -> 
  -2 + 6*a^2 - 3*a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 8411] -> 
  a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 3/a^8 + z^2/a^16 - (8*z^2)/a^14 + 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (10*z^2)/a^8 - (6*z^4)/a^14 + (6*z^4)/a^12 + 
   (17*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 8412] -> 1 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 8413] -> 2*a^2 - a^4 - z^2 - z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - 
   z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 8414] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 - z^2/a^2 + 
   z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8415] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (5*z^2)/a^14 - (11*z^2)/a^12 + (22*z^2)/a^10 + 
   (5*z^2)/a^8 - (5*z^4)/a^14 - (3*z^4)/a^12 + (31*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 8416] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 6*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8417] -> a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 + 
   z^2/a^8 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8418] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 8419] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 
   3*z^2 - z^2/a^2 - 7*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 8420] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 
   3*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 + 
   4*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 8421] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 8422] -> -2 - 5/a^4 + 9/a^2 - a^2 - 4*z^2 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 - z^6/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 8423] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 4*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 8424] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8425] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^2 + 2*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 8426] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^6/a^4, Knot[14, NonAlternating, 8427] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 + (3*z^2)/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - z^4/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8428] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 8429] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 6*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 8430] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8431] -> -a^4 + 6*a^6 - 4*a^8 - 3*a^4*z^2 + 
   14*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 8432] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 
   5*a^2*z^2 - a^6*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 8433] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   7*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 8434] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8435] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^8 - (5*z^2)/a^4 + (4*z^2)/a^2 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 - 
   (5*z^6)/a^6 - z^8/a^6, Knot[14, NonAlternating, 8436] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   z^4 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8437] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^10 - 
   z^2/a^8 + (9*z^2)/a^6 + (2*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + 
   z^6/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 8438] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 
   10*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 12*a^2*z^4 + a^4*z^4 - 
   a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 8439] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^10 - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 8440] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 
   2*a^4 + 5*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   11*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 6*z^6 + z^8, 
 Knot[14, NonAlternating, 8441] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   (5*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 8442] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 5*z^2 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 8443] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 8444] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (3*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - 
   z^6/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8445] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) - z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8446] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (3*z^2)/a^12 + (3*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + z^4/a^12 + 
   z^4/a^10 + (7*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 8447] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - 
   (2*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 8448] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 8449] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + (3*z^2)/a^8 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 8450] -> -a^(-4) + 2/a^2 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 8451] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 + z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8452] -> 2 + a^(-4) - 2/a^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 8453] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 4*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 
   z^4/a^2 + 4*a^2*z^4 - z^6, Knot[14, NonAlternating, 8454] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (4*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 + 
   z^6/a^6, Knot[14, NonAlternating, 8455] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - (2*z^2)/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8456] -> -2/a^8 + 5/a^6 - 3/a^4 + a^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 8457] -> 
  2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 8458] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8459] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 8460] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 8461] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 8462] -> -a^(-6) + 2/a^4 - a^2 + a^4 + 
   z^2 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 8463] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 8464] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^4 + 
   2*a^2*z^2 - 2*z^4 - z^4/a^2, Knot[14, NonAlternating, 8465] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 + 7*a^2*z^4 - 4*a^4*z^4 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 8466] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 + (5*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 8467] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 8468] -> 
  a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 6/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (31*z^2)/a^6 - (32*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (37*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 8469] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8470] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 
   32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 29*a^2*z^2 - 8*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 30*a^2*z^4 - 5*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   13*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 8471] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 8472] -> 
  a^(-14) - 5/a^12 + 7/a^10 - 5/a^8 + 2/a^6 + a^(-4) - (7*z^2)/a^12 + 
   (20*z^2)/a^10 - (16*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + 
   (16*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8473] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   z^2/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 
   (6*z^4)/a^8 + (19*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 8474] -> 
  1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + z^4 - z^4/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 8475] -> 
  -2/a^8 + 5/a^6 - 3/a^4 + a^2 - z^2 - z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 8476] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 8477] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 8478] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (20*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - (6*z^4)/a^8 + (18*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8479] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 8480] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 4*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8481] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8482] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 8483] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   3*z^4 - z^4/a^2 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8484] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 8485] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 6*z^2 + 18*a^2*z^2 - 14*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 
   4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8486] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - a^2*z^2 - 
   5*a^4*z^2 + 26*a^6*z^2 - 14*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   25*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 8487] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 19*a^2*z^2 - 
   6*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8488] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8489] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (16*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8490] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 17*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 16*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 8491] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + z^2 + 
   6*a^2*z^2 - 18*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 
   6*a^6*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8492] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   7*z^2 + z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 8493] -> 
  -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 8494] -> 
  -1 - 2/a^8 + 6/a^6 - 6/a^4 + 3/a^2 + a^2 - z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 8495] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (9*z^2)/a^8 + 
   (17*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8496] -> a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + 
   a^(-6) + 2/a^4 - (6*z^2)/a^12 + (17*z^2)/a^10 - (15*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (17*z^4)/a^8 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 8497] -> 
  3/a^6 - 7/a^4 + 5/a^2 + z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8498] -> 3/a^10 - 8/a^8 + 5/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (19*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + 
   (8*z^4)/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8499] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 7*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 8500] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8501] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (27*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 8502] -> -7 + 4/a^2 + 4*a^2 - 21*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 8503] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   14*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 8504] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   8*a^4*z^2 + 29*a^6*z^2 - 15*a^8*z^2 + a^10*z^2 - 11*a^4*z^4 + 37*a^6*z^4 - 
   15*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 8505] -> 
  -3/a^8 + 4/a^6 - z^2/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 8506] -> 
  -2 + 5*a^2 - a^4 - a^6 - 4*z^2 + 10*a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 + 
   7*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8507] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 8508] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 8509] -> -2 + 4*a^2 - a^8 - 4*z^2 + 10*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8510] -> a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + 
   (2*z^2)/a^16 - (4*z^2)/a^14 - (23*z^2)/a^12 + (36*z^2)/a^10 - 
   (5*z^4)/a^14 - (16*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 8511] -> -5 - a^(-6) - 4/a^4 + 11/a^2 - 12*z^2 - 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (28*z^2)/a^2 - 11*z^4 - z^4/a^6 - 
   (7*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 8512] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (5*z^2)/a^12 + (14*z^2)/a^10 - 
   (19*z^2)/a^8 + (15*z^2)/a^6 - (2*z^4)/a^12 + (18*z^4)/a^10 - 
   (28*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 8513] -> -2/a^6 + 3/a^4 - z^2/a^12 + (2*z^2)/a^10 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 8514] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 8515] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 
   2/a^2 + z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4/a^8 + (11*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 8516] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (5*z^4)/a^8 + 
   (11*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8517] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8518] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + 
   a^(-4) + a^(-2) + (4*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - (4*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 8519] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 8520] -> 
  2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (16*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 8521] -> 
  -3 + 8*a^2 - 5*a^4 + 2*a^6 - a^8 - 5*z^2 + 15*a^2*z^2 - 9*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8522] -> 2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 5/a^6 + 
   (2*z^2)/a^14 - (16*z^2)/a^12 + (30*z^2)/a^10 - (25*z^2)/a^8 + 
   (15*z^2)/a^6 - (9*z^4)/a^12 + (34*z^4)/a^10 - (33*z^4)/a^8 + 
   (16*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 8523] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8524] -> -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + 
   7*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8525] -> a^(-4) - a^(-2) + a^2 + 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8526] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8527] -> -2/a^6 + 3/a^4 - z^2/a^12 + (3*z^2)/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 8528] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   9*z^2 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8529] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 
   10*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8530] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8531] -> -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 
   3*a^2*z^2 + a^4*z^2 + 21*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 23*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 8532] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 8533] -> 4 + a^(-10) - 3/a^8 + 4/a^6 - 5/a^2 + 
   4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (12*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8534] -> -1 + a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 
   2/a^2 + 2*a^2 - 4*z^2 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 8535] -> 
  3 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 3/a^2 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 8536] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + 
   z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 8537] -> 
  a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8538] -> 4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - 
   a^2 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 8539] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 8540] -> 3 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 
   3/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 8541] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + 
   a^4 + z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 8542] -> a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 
   z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 8543] -> 4 - a^(-8) + 4/a^6 - 4/a^4 - 
   a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 8544] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 8545] -> 3*a^6 - 5*a^8 + 10*a^10 - 10*a^12 + 
   3*a^14 + 12*a^6*z^2 - 20*a^8*z^2 + 34*a^10*z^2 - 20*a^12*z^2 + 
   2*a^14*z^2 + 15*a^6*z^4 - 29*a^8*z^4 + 38*a^10*z^4 - 10*a^12*z^4 + 
   7*a^6*z^6 - 22*a^8*z^6 + 16*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 
   2*a^10*z^8 - a^8*z^10, Knot[14, NonAlternating, 8546] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 11*z^2 - z^2/a^6 - z^2/a^4 + 
   (9*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + z^4/a^4 + (7*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8547] -> -3 + 3/a^2 - a^2 + 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8548] -> 2*a^2 - a^6 - a^8 + a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 8549] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8550] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 8551] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^2 + 
   a^2*z^4, Knot[14, NonAlternating, 8552] -> a^(-6) - 3/a^4 + 3/a^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8553] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 8554] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + z^4 + 2*a^2*z^4, Knot[14, NonAlternating, 8555] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 8556] -> 
  a^2 + a^4 - a^6 + z^2 + a^6*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 8557] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 5*z^4 + 2*a^2*z^4 - z^6, Knot[14, NonAlternating, 8558] -> 
  a^6 + 4*a^8 - 5*a^10 + a^12 + a^4*z^2 + a^6*z^2 + 14*a^8*z^2 - 8*a^10*z^2 + 
   3*a^4*z^4 - 3*a^6*z^4 + 13*a^8*z^4 - 2*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 
   3*a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 8559] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 + 2*a^2*z^4, Knot[14, NonAlternating, 8560] -> 
  3*a^6 - a^8 - a^10 + 8*a^6*z^2 - a^12*z^2 + a^4*z^4 + 5*a^6*z^4 + 
   2*a^10*z^4 - a^8*z^6, Knot[14, NonAlternating, 8561] -> 
  a^2 + a^4 - a^6 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 8562] -> 
  1 + z^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 8563] -> 2*a^2 - a^4 + 3*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 8564] -> 
  1 + z^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 8565] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 8566] -> 
  3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 - (10*z^2)/a^2 - (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 8567] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 8568] -> -2/a^10 + 5/a^8 - 6/a^6 + 
   4/a^4 - z^2/a^10 + (9*z^2)/a^8 - (12*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^8 - (10*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8569] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 8570] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + (4*z^2)/a^10 - z^2/a^8 - (9*z^2)/a^6 + 
   (9*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - 
   z^6/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 8571] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 2*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 8572] -> -1 + a^(-4) + a^4 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8573] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 8574] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 
   3*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^2 + a^2*z^4 + 
   3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 8575] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8576] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 
   6*z^2 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 8577] -> 2*a^2 - a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 8578] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 9*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8579] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 8580] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8581] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 6*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 
   a^10*z^2 + 2*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - a^6*z^6, 
 Knot[14, NonAlternating, 8582] -> 2 - a^(-4) + a^(-2) - a^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8583] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (5*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 8584] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 9*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + z^4/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 8585] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 8586] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 8587] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   a^2*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 8588] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8589] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8590] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   3*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 8591] -> 3*a^2 - 4*a^4 + 2*a^6 + a^8 - 
   a^10 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 2*a^2*z^4 - 
   7*a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 8592] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - 10*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8593] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 8594] -> 
  -a^(-4) + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 8595] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8596] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8597] -> a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 8598] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8599] -> a^(-2) - a^4 + a^6 - z^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8600] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 - z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8601] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 3*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   7*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 8602] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   13*z^2 - z^2/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + 
   z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8603] -> 4 - 2/a^2 - a^4 + 10*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 8604] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8605] -> 2*a^4 - a^8 - z^2 + 2*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8606] -> a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8607] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8608] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 8609] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 14*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 8610] -> 
  -5 + 3/a^2 + 3*a^2 - 20*z^2 + z^2/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 - 24*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 5*a^2*z^4 - 
   12*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 8611] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8612] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 4*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 8*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8613] -> a^4 + a^8 - a^12 + 4*a^4*z^2 - a^6*z^2 + 
   5*a^8*z^2 + a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 + 
   a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 8614] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 8615] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^10 + z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8616] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8617] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 8618] -> a^4 + a^8 - a^12 + 5*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 + 2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - a^6*z^6, 
 Knot[14, NonAlternating, 8619] -> a^2 + a^6 - a^8 + z^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 8620] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 2*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 8621] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 
   2*a^6 - 4*z^2 + 4*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - z^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 8622] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 3*z^2 + z^2/a^2 + a^2*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 8623] -> 1 - a^2 + 2*a^4 - 2*a^8 + 
   a^10 + z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 8624] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 8625] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^4 - a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - z^6 - z^6/a^2, Knot[14, NonAlternating, 8626] -> 
  a^2 + a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*a^10*z^2 + 
   a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 8627] -> 3*a^4 - 2*a^6 + a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 8628] -> 3 + a^(-6) - a^(-4) - a^(-2) - 
   2*a^2 + a^4 + 6*z^2 - z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 8629] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 8630] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 8631] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   z^4/a^2 + a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 8632] -> 
  -1 + a^(-2) + a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8633] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 8634] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 8635] -> a^(-2) - a^4 + a^6 - 2*z^2 + 4*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8636] -> -2 + 2/a^2 + a^4 - 8*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8637] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8638] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - z^4/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8639] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 5*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 8640] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8641] -> 3*a^2 - 3*a^4 + a^6 + 5*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 
   4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 8642] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - z^2 - z^2/a^4 + 5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 8643] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8644] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + a^2*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 8645] -> 
  2 - a^2 - a^4 + a^6 - z^2 + z^2/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8646] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 3*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 8647] -> 1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8648] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 7*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - 
   z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 8649] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 8650] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 + 
   a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 8651] -> -1 + a^(-4) + a^2 - a^4 + a^6 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 8652] -> 
  a^4 + 2*a^10 - 2*a^12 + 5*a^4*z^2 + 5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 8653] -> a^4 + a^8 - a^12 + 2*a^2*z^2 + 2*a^4*z^2 + 
   2*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 8654] -> a^2 + a^4 - 2*a^8 + a^10 - 3*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 8655] -> a^(-2) - a^4 + a^6 + z^2 + z^2/a^2 - 
   7*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - 10*a^2*z^4 + 2*a^4*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8656] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8657] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 8658] -> -2/a^12 + 5/a^10 - 6/a^8 + 
   3/a^6 + a^(-4) - (2*z^2)/a^12 + (15*z^2)/a^10 - (19*z^2)/a^8 + 
   (6*z^2)/a^6 + (6*z^2)/a^4 + (11*z^4)/a^10 - (23*z^4)/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 8659] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8660] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^8*z^2 - 5*z^4 + 7*a^2*z^4 - 
   3*a^4*z^4 - 2*a^6*z^4 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8661] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 
   9*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 8662] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 8663] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 8664] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 - a^4*z^2 - 
   2*z^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 8665] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 4*a^2*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 8666] -> -4 + 3/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 8667] -> 
  2 - 3*a^4 + 2*a^6 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 2*a^2*z^4 - 
   3*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 8668] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   3*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8669] -> -1 + a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + 
   z^6/a^2, Knot[14, NonAlternating, 8670] -> -3/a^8 + 6/a^6 - 4/a^4 + 
   2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + 
   (2*z^6)/a^6, Knot[14, NonAlternating, 8671] -> 
  a^(-2) - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8672] -> -1 + a^(-2) + a^2 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8673] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   3*a^2*z^2 + a^4*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 + 3*a^4*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 8674] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   5*z^2 + (2*z^2)/a^2 - a^2*z^2 - 3*z^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 8675] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 8676] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 8677] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + (5*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8678] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + z^4 - 5*a^2*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 8679] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 4*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 8680] -> -1 + a^(-2) + a^2 - 7*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8681] -> 6 - 2/a^2 - 4*a^2 + a^4 + 7*z^2 - 
   z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8682] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 + 2*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8683] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8684] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   11*a^2*z^4 - 6*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8685] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8686] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 5*z^4 + 6*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 8687] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - (2*z^2)/a^12 + (15*z^2)/a^10 - 
   (21*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + (11*z^4)/a^10 - (24*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 8688] -> 
  2 - 3*a^4 + 2*a^6 - z^2/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 
   9*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8689] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 - 
   z^4/a^4 + (16*z^4)/a^2 + a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8690] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 2*z^2 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - 
   (8*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 8691] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 8692] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 8693] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 8694] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 3*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 4*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8695] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 8696] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8697] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 8698] -> 
  2*a^4 - a^8 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 + 
   a^6*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 8699] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 
   z^4/a^6 - z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 8700] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 + 
   z^2/a^2 + a^2*z^2 - 4*z^4 + z^4/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 8701] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + 3*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 8702] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 7*z^4 + z^4/a^4 + z^4/a^2 + 7*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 8703] -> 1 + 2/a^4 - 3/a^2 + a^2 + 4*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + a^2*z^4 + 
   a^4*z^4 + z^6, Knot[14, NonAlternating, 8704] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 10*z^2 + z^2/a^4 + z^2/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + z^4/a^4 + 7*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 8705] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8706] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   7*z^2 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 8707] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 8708] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8709] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 20*z^4 + z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 
   11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 8710] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 - a^4*z^2 + 
   2*z^4 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 8711] -> 1 + a^(-2) - 2*a^2 - a^4 + 3*a^6 - a^8 - 
   2*z^2 + z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 8712] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 8713] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 
   4/a^2 + z^2 + z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 8714] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8715] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 8716] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 8717] -> 5 - a^(-4) - 4*a^2 + a^4 + 11*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6, Knot[14, NonAlternating, 8718] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 3*z^2 + 9*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   6*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8719] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^2, Knot[14, NonAlternating, 8720] -> 
  1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 + z^2/a^2 - 9*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 + z^4 - 8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8721] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 8722] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   4*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8723] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 2*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - z^4 - z^4/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 + z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 8724] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - (5*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   9*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 8725] -> 
  4 - 2/a^2 - a^4 + 7*z^2 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   6*z^4 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 8726] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 8727] -> 
  2*a^2 - a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 8728] -> a^6 + a^8 - a^14 + 4*a^6*z^2 + 9*a^8*z^2 - 
   a^10*z^2 + a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 9*a^8*z^4 + a^12*z^4 + 
   a^6*z^6 + 2*a^8*z^6, Knot[14, NonAlternating, 8729] -> 
  1 - a^2 + a^4 + a^6 - a^8 + a^4*z^2 + a^6*z^2 - z^4 + a^2*z^4 + a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 8730] -> 
  1 + z^2 - z^2/a^4 + a^2*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 8731] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8732] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 8733] -> 3*a^8 - 2*a^12 + 3*a^6*z^2 + 11*a^8*z^2 - 
   a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 10*a^8*z^4 + a^10*z^4 + a^12*z^4 + 
   a^6*z^6 + 2*a^8*z^6, Knot[14, NonAlternating, 8734] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 
   a^2*z^4 - 4*a^4*z^4 - a^4*z^6, Knot[14, NonAlternating, 8735] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 8736] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 8737] -> 
  2*a^2 + a^4 - 3*a^6 + a^10 + 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   3*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 8738] -> 1 + a^2 - a^4 - a^8 + a^10 + z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 8739] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^2*z^2 + a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - a^2*z^4 + a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 8740] -> a^6 + a^8 + a^10 - 2*a^12 + 4*a^6*z^2 + 
   7*a^8*z^2 + 3*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 7*a^8*z^4 + 
   3*a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 8741] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 + 
   z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8742] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 
   3*a^2*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 2*a^4*z^4 - 3*a^6*z^4, 
 Knot[14, NonAlternating, 8743] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + z^4 - z^4/a^2 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 8744] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 
   6*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 
   5*a^8*z^4 + 2*a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 8745] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 8746] -> 
  2*a^4 - a^8 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   3*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8747] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   8*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 - a^4*z^6, Knot[14, NonAlternating, 8748] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + z^2 - 2*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 8749] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8750] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 8751] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 + (2*z^4)/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 8752] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - a^2*z^4 + a^4*z^4 - a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 8753] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 + z^2/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 8754] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 - (6*z^2)/a^12 + (11*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + 
   z^2/a^4 - z^4/a^12 + (10*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 8755] -> 
  -6 - a^(-4) + 4/a^2 + 5*a^2 - a^6 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   7*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 9*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - a^2*z^6, Knot[14, NonAlternating, 8756] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + z^2 - z^2/a^2 + 7*a^2*z^2 - 14*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 - 12*a^4*z^4 + 
   5*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 8757] -> 3*a^6 - a^8 - a^10 + a^4*z^2 + 6*a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 + 4*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 8758] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 
   z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8759] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 8760] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + z^2/a^8 - z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 8761] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 8762] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 
   4*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8763] -> 
  a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (5*z^4)/a^2 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 8764] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 8765] -> 3 - a^(-4) - a^4 + 5*z^2 - z^2/a^4 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 8766] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 8767] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 8768] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 - (19*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (12*z^4)/a^10 - (22*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (12*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8769] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 - (6*z^2)/a^12 + (12*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 - 
   z^4/a^12 + (10*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + (2*z^6)/a^10 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 8770] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 5*z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 8771] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 3*z^2 + 11*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 8772] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (13*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - (25*z^4)/a^8 + (16*z^4)/a^6 + 
   (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 8773] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^8 + (6*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 + (11*z^4)/a^6 - (33*z^4)/a^4 + (12*z^4)/a^2 + (6*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 8774] -> -3/a^8 + 4/a^6 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 8775] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + (6*z^2)/a^6 - (11*z^2)/a^4 + 3*z^4 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 8776] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 7*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8777] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8778] -> -a^(-4) + 2/a^2 + (8*z^2)/a^6 - 
   (16*z^2)/a^4 + (9*z^2)/a^2 + (12*z^4)/a^6 - (32*z^4)/a^4 + (12*z^4)/a^2 + 
   (6*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 8779] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (14*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (26*z^4)/a^8 + (16*z^4)/a^6 + 
   (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 8780] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 
   3*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 8781] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8782] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 8783] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 8784] -> 
  2*a^6 + a^8 - 2*a^10 + 5*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 2*a^6*z^4 + 
   12*a^8*z^4 - 4*a^10*z^4 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 8785] -> a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^2 + (4*z^4)/a^8 - (11*z^4)/a^6 + z^4/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - z^8/a^6, Knot[14, NonAlternating, 8786] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   12*z^4 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + 6*z^6 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 8787] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (3*z^2)/a^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 + (5*z^6)/a^8 - z^6/a^6 + z^8/a^8, 
 Knot[14, NonAlternating, 8788] -> -a^(-8) + 2/a^4 + z^2/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 8789] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + a^4*z^4 + 
   5*a^8*z^4 - a^10*z^4 + a^8*z^6, Knot[14, NonAlternating, 8790] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^8 - (5*z^4)/a^6 - z^4/a^2 - z^6/a^6, 
 Knot[14, NonAlternating, 8791] -> 2 - a^(-6) + a^(-4) - a^2 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^4 - a^2*z^4 + 
   z^6, Knot[14, NonAlternating, 8792] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + z^6/a^8, 
 Knot[14, NonAlternating, 8793] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + (5*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 + z^4/a^8 - (8*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 8794] -> -2/a^12 + 5/a^10 - 4/a^8 - 
   a^(-6) + 3/a^4 - (2*z^2)/a^12 + (13*z^2)/a^10 - (14*z^2)/a^8 + 
   (7*z^2)/a^4 + (10*z^4)/a^10 - (19*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 8795] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 + z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 8796] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 
   6*z^2 - z^2/a^6 + (5*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8797] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (7*z^2)/a^10 - (15*z^2)/a^8 + (14*z^2)/a^6 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^4 - (4*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 8798] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 4*z^2 - z^2/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 - z^4/a^2 + 16*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 
   7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8799] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - 8*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 8800] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 12*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 9*z^4 - z^4/a^2 - 12*a^2*z^4 + a^6*z^4 + 2*z^6 - 
   6*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 8801] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 7*z^2 + 27*a^2*z^2 - 28*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 37*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - z^6 + 13*a^2*z^6 - 24*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 8802] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8803] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 + (6*z^4)/a^6 - (21*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 8804] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - z^4/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 
   a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 8805] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 
   4/a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (11*z^2)/a^2 + 
   4*z^4 + (2*z^4)/a^6 + z^4/a^4 - (12*z^4)/a^2 + z^6 - (6*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 8806] -> -2/a^6 + 3/a^4 + z^2/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 8807] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8808] -> 1 - 2/a^4 + 3/a^2 - a^2 + z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 8809] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 9*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8810] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   (5*z^4)/a^8 + (18*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 8811] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + (2*z^2)/a^16 - (13*z^2)/a^14 - 
   (2*z^2)/a^12 + (27*z^2)/a^10 + z^4/a^16 - (18*z^4)/a^14 + (16*z^4)/a^12 + 
   (42*z^4)/a^10 - (8*z^6)/a^14 + (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 8812] -> a^(-12) - 6/a^8 + 6/a^6 + z^2/a^12 - 
   (11*z^2)/a^8 + (13*z^2)/a^6 + (2*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 8813] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   z^2/a^8 + (17*z^2)/a^6 - (33*z^2)/a^4 + (15*z^2)/a^2 + (15*z^4)/a^6 - 
   (42*z^4)/a^4 + (14*z^4)/a^2 + (6*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 8814] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 4*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 8815] -> -1 + 4*a^2 - 2*a^4 - z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 8816] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 6*z^2 - 
   z^2/a^2 + 17*a^2*z^2 - 7*a^4*z^2 + z^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 + 3*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 8817] -> a^(-16) - 4/a^14 + 3/a^12 - 2/a^10 + 
   3/a^8 + z^2/a^16 - (11*z^2)/a^14 + (11*z^2)/a^12 + (12*z^2)/a^8 - 
   (7*z^4)/a^14 + (14*z^4)/a^12 + (8*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^14 + 
   (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 8818] -> a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 
   3/a^4 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 8819] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 
   6*z^2 + (7*z^2)/a^6 - (8*z^2)/a^4 - (8*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 8820] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 8821] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 11*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 8822] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (26*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^8 + (28*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 8823] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 8824] -> 
  -a^(-8) + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8825] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 
   7*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 7*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 8826] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   (8*z^2)/a^12 + (5*z^2)/a^10 + (13*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + 
   (12*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 8827] -> 1 - 2*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 8828] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 
   8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8829] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 8830] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 8831] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 + (4*z^4)/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 - z^6/a^4, 
 Knot[14, NonAlternating, 8832] -> -a^(-8) + 2/a^4 - z^2/a^12 + z^2/a^10 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 8833] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 8834] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 8835] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - (2*z^2)/a^14 - 
   (14*z^2)/a^12 + (19*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^14 - 
   (6*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (2*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 8836] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 8837] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + 
   z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 8838] -> -1 - 3/a^4 + 6/a^2 - 2*a^2 + a^4 - 4*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 8839] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 8840] -> 3/a^10 - 7/a^8 + 3/a^6 + 
   2/a^4 + (7*z^2)/a^10 - (16*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (7*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8841] -> -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8842] -> -a^(-2) + 4*a^2 - a^4 - a^6 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 8843] -> -3/a^8 + 4/a^6 + z^2/a^12 - (3*z^2)/a^10 - 
   z^2/a^8 + (9*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - 
   z^6/a^10 + z^6/a^6, Knot[14, NonAlternating, 8844] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 8845] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 8846] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 8847] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 8848] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 8849] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 + z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 8850] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   6*z^2 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - (14*z^2)/a^2 + 4*z^4 + 
   z^4/a^6 + (4*z^4)/a^4 - (14*z^4)/a^2 + z^6 + z^6/a^4 - (6*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 8851] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8852] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - z^4 + 
   z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 8853] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 8854] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 + 16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 4*z^4 + 
   15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8855] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8856] -> a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 - 
   (2*z^4)/a^8 - z^4/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 8857] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - 2*a^2*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 8858] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 8859] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2, Knot[14, NonAlternating, 8860] -> 
  -2 - a^(-6) + 4/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 8861] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 
   2/a^4 + a^(-2) + (3*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6, Knot[14, NonAlternating, 8862] -> 
  2/a^10 - 4/a^8 + a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 8863] -> -a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^4 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 8864] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   17*z^2 - z^2/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 8865] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   4*z^2 + (6*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 8866] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^8 + (16*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 8867] -> 4/a^10 - 11/a^8 + 8/a^6 - 
   z^2/a^12 + (11*z^2)/a^10 - (27*z^2)/a^8 + (19*z^2)/a^6 + (9*z^4)/a^10 - 
   (26*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 8868] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 - z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (8*z^2)/a^4 + (4*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 8869] -> 
  3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 8870] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 
   7*z^2 + 24*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 5*z^4 + 21*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 8871] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 
   10*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 8872] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   25*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 8873] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 11*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 + z^4/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 8874] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 8875] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - 2*z^2 - 
   (2*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - z^4 - z^4/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8876] -> 3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + 
   (5*z^2)/a^10 - (26*z^2)/a^8 + (34*z^2)/a^6 - (9*z^2)/a^4 + (2*z^4)/a^10 - 
   (24*z^4)/a^8 + (45*z^4)/a^6 - (14*z^4)/a^4 - (9*z^6)/a^8 + (29*z^6)/a^6 - 
   (7*z^6)/a^4 - z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 8877] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 
   6*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (23*z^2)/a^2 - a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 8878] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 8879] -> 
  -3 - 4/a^4 + 8/a^2 - 7*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 - 
   5*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 8880] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8881] -> -4 + 11*a^2 - 7*a^4 + a^6 - 17*z^2 + 
   (2*z^2)/a^2 + 35*a^2*z^2 - 18*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (3*z^4)/a^2 + 
   43*a^2*z^4 - 17*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 26*a^2*z^6 - 
   7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 8882] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (11*z^4)/a^6 - z^4/a^4 - (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8883] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   20*z^2 + (8*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^4 + 
   (6*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 8884] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 - (26*z^2)/a^4 + (11*z^2)/a^2 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 8885] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 7*z^2 + 
   (4*z^2)/a^6 - (17*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 8886] -> 
  -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (15*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 8887] -> a^(-10) - 8/a^8 + 11/a^6 - 
   3/a^4 + z^2/a^10 - (14*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 - 
   (9*z^4)/a^8 + (27*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 8888] -> 
  a^(-12) - 6/a^10 + 6/a^8 - (8*z^2)/a^10 + (16*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^4)/a^10 + (13*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 8889] -> -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 
   4*a^2*z^2 + 8*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   8*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 3*a^4*z^6 + 3*a^6*z^6, 
 Knot[14, NonAlternating, 8890] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 14*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 9*a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 8891] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 8892] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (22*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 8893] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 26*z^2 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 + 11*a^2*z^2 - a^4*z^2 - 26*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 8894] -> -a^(-4) + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 8895] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 20*z^2 - (9*z^2)/a^4 + (25*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^6 - (7*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 8896] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 
   4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 8897] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 
   10*z^2 - z^2/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   10*z^4 - z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 8898] -> -2/a^12 + 3/a^8 + z^2/a^16 - 
   (6*z^2)/a^14 - z^2/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 - (6*z^4)/a^14 + 
   (5*z^4)/a^12 + (17*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 8899] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   z^2/a^12 - z^2/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + 
   z^4/a^10 + (7*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 8900] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 8901] -> -3/a^6 + 5/a^4 - a^(-2) - z^2/a^8 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 8902] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 8903] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8904] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 
   a^8*z^2 - z^4 + a^2*z^4 + 9*a^4*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 8905] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 
   20*z^2 + z^2/a^6 - (9*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 8906] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8907] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   (4*z^2)/a^8 + (19*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (33*z^4)/a^4 + (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 8908] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 8*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8909] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 8910] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8911] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 8912] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   5*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 8913] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8914] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   25*z^2 - (2*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 32*z^4 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 8915] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 8916] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   10*z^2 + z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8917] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   21*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 27*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 8918] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (31*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (40*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 8919] -> a^(-10) - 7/a^8 + 10/a^6 - 
   4/a^4 + a^(-2) + z^2/a^10 - (12*z^2)/a^8 + (29*z^2)/a^6 - (18*z^2)/a^4 + 
   (6*z^2)/a^2 - (7*z^4)/a^8 + (29*z^4)/a^6 - (27*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 8920] -> 
  a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - (5*z^2)/a^12 + (6*z^2)/a^10 + z^2/a^8 + 
   (7*z^2)/a^6 - z^4/a^12 + (8*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 8921] -> -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 
   10*z^2 - z^2/a^6 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^4 + 
   (7*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8922] -> -1 - 3/a^4 + 6/a^2 - 2*a^2 + a^4 - 7*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 6*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 8923] -> -2 + a^(-4) + 2*a^2 - 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 8924] -> a^(-8) - 4/a^4 + 4/a^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 8925] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 8926] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8927] -> 2/a^14 - 9/a^12 + 8/a^10 + z^2/a^16 - 
   (4*z^2)/a^14 - (15*z^2)/a^12 + (29*z^2)/a^10 + (2*z^2)/a^8 - 
   (6*z^4)/a^14 - (3*z^4)/a^12 + (37*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (19*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 8928] -> -2/a^12 + 5/a^10 - 7/a^8 + 
   5/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + 
   (6*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 8929] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - 
   z^4/a^10 + z^4/a^8 + (8*z^4)/a^6 - z^4/a^4 + z^6/a^8 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 8930] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (2*z^4)/a^2 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 8931] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   14*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 8932] -> -2*a^4 + 10*a^6 - 9*a^8 + 
   2*a^10 - 5*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 - a^10*z^2 - 4*a^4*z^4 + 
   16*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 8933] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 14*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 8934] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - 
   z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (3*z^4)/a^10 + 
   (2*z^4)/a^8 + (16*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 8935] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 8936] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 17*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 16*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 8937] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + z^2 + 
   7*a^2*z^2 - 18*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 
   6*a^6*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8938] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   7*z^2 + z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 8939] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 8940] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8941] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 8942] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (16*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8943] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 
   3/a^6 + a^(-4) - (6*z^2)/a^12 + (16*z^2)/a^10 - (14*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (16*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 8944] -> 
  4/a^10 - 10/a^8 + 6/a^6 + a^(-4) + (8*z^2)/a^10 - (21*z^2)/a^8 + 
   (11*z^2)/a^6 + (3*z^2)/a^4 + (7*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 8945] -> 
  -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - 5*z^2 + 14*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + 8*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 8946] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + 
   a^2 - 8*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 8947] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 7*a^4*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - 
   a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^4*z^6 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 8948] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 8949] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 8950] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 8951] -> 
  -6 - 4/a^4 + 10/a^2 + a^4 - 12*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 - z^4/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 8952] -> 
  2 - 2/a^8 + 7/a^6 - 9/a^4 + 4/a^2 - a^2 + 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8953] -> -a^(-12) + 7/a^10 - 12/a^8 + 5/a^6 + 
   2/a^4 - z^2/a^12 + (13*z^2)/a^10 - (25*z^2)/a^8 + (8*z^2)/a^6 + 
   (5*z^2)/a^4 + (9*z^4)/a^10 - (23*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 8954] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 
   5*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 8955] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 
   2/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 8956] -> -2/a^6 + 4/a^4 - a^(-2) - a^2 + a^4 - 
   z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[14, NonAlternating, 8957] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 8958] -> a^(-10) - 4/a^6 + 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (2*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 8959] -> 
  3 - a^(-2) - a^2 + 4*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 8960] -> -a^(-16) + 6/a^14 - 14/a^12 + 10/a^10 + 
   z^2/a^16 - z^2/a^14 - (23*z^2)/a^12 + (35*z^2)/a^10 + z^4/a^16 - 
   (12*z^4)/a^14 - (2*z^4)/a^12 + (47*z^4)/a^10 - (7*z^6)/a^14 + 
   (13*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 8961] -> 
  -a^(-14) + 2/a^12 - 5/a^10 + 5/a^8 + z^2/a^16 - (7*z^2)/a^14 + 
   (7*z^2)/a^12 - (5*z^2)/a^10 + (15*z^2)/a^8 - (6*z^4)/a^14 + 
   (10*z^4)/a^12 + (4*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 8962] -> 2/a^10 - 11/a^8 + 15/a^6 - 6/a^4 + 
   a^(-2) + z^2/a^10 - (17*z^2)/a^8 + (40*z^2)/a^6 - (24*z^2)/a^4 + 
   (7*z^2)/a^2 - (8*z^4)/a^8 + (38*z^4)/a^6 - (35*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^8 + (15*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 8963] -> 
  -6 - 4/a^4 + 10/a^2 + a^4 - 15*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 14*z^4 - z^4/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 
   6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 8964] -> 
  4/a^6 - 9/a^4 + 6/a^2 + z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 8965] -> a^(-12) - 5/a^10 + 5/a^8 - 
   a^(-4) + a^(-2) - (6*z^2)/a^10 + (14*z^2)/a^8 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 8966] -> 
  -2/a^6 + 4/a^4 - a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 8967] -> 
  3 + a^(-8) - a^(-6) + a^(-4) - 3/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^4 - (6*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 8968] -> 
  -a^(-16) + 6/a^14 - 14/a^12 + 10/a^10 + z^2/a^16 - (24*z^2)/a^12 + 
   (34*z^2)/a^10 + z^2/a^8 - (5*z^4)/a^14 - (8*z^4)/a^12 + (39*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (19*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 8969] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - z^4/a^10 + (13*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^8 + 
   (3*z^6)/a^6, Knot[14, NonAlternating, 8970] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 15*z^2 + (6*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 
   12*z^4 + z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 - 4*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 8971] -> 2/a^10 - 11/a^8 + 15/a^6 - 
   6/a^4 + a^(-2) + z^2/a^10 - (18*z^2)/a^8 + (41*z^2)/a^6 - (23*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + (44*z^4)/a^6 - (27*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 8972] -> -6 - 4/a^4 + 10/a^2 + a^4 - 14*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8973] -> 4/a^6 - 9/a^4 + 6/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 8974] -> 
  2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 2/a^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (20*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 8975] -> 
  -3 + 8*a^2 - 6*a^4 + 4*a^6 - 2*a^8 - 6*z^2 + 18*a^2*z^2 - 13*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 13*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8976] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (13*z^2)/a^12 + (26*z^2)/a^10 - (21*z^2)/a^8 + (14*z^2)/a^6 - 
   (7*z^4)/a^12 + (31*z^4)/a^10 - (31*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + 
   (14*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 8977] -> 
  1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - a^(-2) + z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 8978] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 8979] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (5*z^2)/a^12 + 
   (9*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^4/a^12 + 
   (9*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 8980] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 
   19*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8981] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   4*z^2 - z^2/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 8982] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 + z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 8983] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + 
   (6*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 8984] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - a^2*z^2 - 
   6*a^4*z^2 + 29*a^6*z^2 - 15*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   27*a^6*z^4 - 10*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 8985] -> 
  3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   2*a^2*z^2 + 3*z^4 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 8986] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 3*a^2*z^2 + 
   7*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - z^4 - a^2*z^4 + 7*a^4*z^4 + 
   5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 8987] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 8988] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 8989] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 
   25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 8990] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   12*z^2 - z^2/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 8991] -> -1 + a^(-2) + a^2 - 8*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 8992] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 8993] -> 
  2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) + z^2/a^14 - (10*z^2)/a^12 + 
   (10*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^4)/a^12 + (12*z^4)/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 + (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 8994] -> a^(-14) - 3/a^12 - a^(-10) + 
   4/a^8 - (6*z^2)/a^12 + z^2/a^10 + (15*z^2)/a^8 - z^4/a^14 - z^4/a^12 + 
   (4*z^4)/a^10 + (18*z^4)/a^8 + z^6/a^12 + (2*z^6)/a^10 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[14, NonAlternating, 8995] -> -2/a^6 + 3/a^4 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 8996] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 8*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 8997] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 
   5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 8998] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + (2*z^2)/a^2 + 28*a^2*z^2 - 
   12*a^4*z^2 + a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 8999] -> 
  -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 5*a^2*z^2 + 11*a^4*z^2 + 6*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 5*a^2*z^4 + 14*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 7*a^4*z^6 + a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 9000] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 4*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 9001] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^2 + 21*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 9002] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (23*z^2)/a^8 + (29*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^4)/a^10 - (24*z^4)/a^8 + (33*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^10 - 
   (12*z^6)/a^8 + (20*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 9003] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 3*a^2*z^2 + 3*a^4*z^2 + 15*a^6*z^2 - 
   8*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 19*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 9004] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9005] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9006] -> 5 + a^(-6) - 4/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 9007] -> -a^2 + 5*a^4 - 3*a^6 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 9008] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + 
   (6*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 9009] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^4 - z^4/a^2 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 9010] -> 
  2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 2*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (3*z^2)/a^2 - (4*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 9011] -> 2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 9012] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + 
   2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 9013] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 9014] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 
   2*a^4 + 2*z^2 + z^2/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 
   3*a^4*z^2 + 5*z^4 - (5*z^4)/a^4 + (9*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 9015] -> -2 + a^(-6) - 3/a^4 + 5/a^2 - 2*a^2 + 
   2*a^4 - 3*z^2 + z^2/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9016] -> a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   a^(-2) + a^2 - z^2 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   z^4/a^6 + z^4/a^4, Knot[14, NonAlternating, 9017] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - 
   (3*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 9018] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + a^6 + 2*z^2 - (3*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 9019] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 9020] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - z^4 - z^4/a^2, 
 Knot[14, NonAlternating, 9021] -> 6*a^2 - 10*a^4 + 5*a^6 + a^8 - a^10 - 
   3*z^2 + 14*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 
   12*a^2*z^4 - 13*a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9022] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 9023] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 9024] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^8 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9025] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 4*z^2 + 
   a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 9026] -> 
  -4 + 3/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9027] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + a^2*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, Knot[14, NonAlternating, 9028] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 - 2*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - z^4 + 5*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 9029] -> 1 + a^(-10) - 3/a^8 + 6/a^6 - 7/a^4 + 
   3/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9030] -> a^(-6) - a^(-4) + a^2 + 2*z^2 - 
   (4*z^2)/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 9031] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + z^2/a^8 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 9032] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 
   11*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 9033] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9034] -> 4*a^2 - 5*a^4 + 2*a^6 + z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 9035] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 12*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 9036] -> 
  1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 
   8*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 14*a^4*z^4 + 2*a^6*z^4 - z^6 + 5*a^2*z^6 - 
   3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9037] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 - z^2/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 + z^4 + 4*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 9038] -> -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4, Knot[14, NonAlternating, 9039] -> 
  3*a^6 - a^8 - a^10 + a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 
   a^2*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 9040] -> 3 - 3*a^2 + a^6 + 4*z^2 - z^2/a^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 9041] -> 
  -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 12*z^2 + z^2/a^4 + z^2/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9042] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 5*z^2 - 10*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - 12*a^2*z^4 + 2*a^6*z^4 + z^6 - 6*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 9043] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 9044] -> 7 - 3/a^2 - 3*a^2 + 13*z^2 - z^2/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 12*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 9045] -> 
  -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 12*z^2 + (5*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 6*z^6 + 
   z^6/a^2 - z^8, Knot[14, NonAlternating, 9046] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9047] -> 2 - 2*a^2 + a^4 + z^2 - a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9048] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 9049] -> 1 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 9050] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9051] -> 3*a^4 - 3*a^6 + 3*a^10 - 2*a^12 + 
   7*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   10*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 6*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 9052] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 
   a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 9053] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   24*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 30*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9054] -> 3*a^2 - 5*a^4 + 3*a^6 + 2*a^8 - 2*a^10 + 
   7*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9055] -> -a^(-10) + a^(-8) + a^(-2) + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9056] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 9057] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + (6*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 + z^4/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9058] -> 1 + a^4 - 2*a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 9059] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 9060] -> 2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 
   5*a^4*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 9061] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - 
   a^2*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + 
   a^4*z^6, Knot[14, NonAlternating, 9062] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 9063] -> a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9064] -> 1 + a^(-2) - 2*a^2 + a^6 + 2*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 9065] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + 7*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 9066] -> 
  4*a^4 - 6*a^6 + 4*a^8 - a^12 + 8*a^4*z^2 - 12*a^6*z^2 + 9*a^8*z^2 + 
   a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 12*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 9067] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9068] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 9069] -> a^(-10) - 6/a^8 + 9/a^6 - 
   5/a^4 + 2/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9070] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9071] -> 
  2*a^2 - 2*a^4 + a^6 + a^10 - a^12 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 9072] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 9073] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 9074] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 9075] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - z^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9076] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 9077] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 9078] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 4*z^2 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 - 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 9079] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   5*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + z^4/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 9080] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 3*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 9081] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9082] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[14, NonAlternating, 9083] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 9084] -> a^(-2) + a^2 - 2*a^4 + a^8 - 4*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   4*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 9085] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^4 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[14, NonAlternating, 9086] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 9087] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 9088] -> a^2 + 2*a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 9089] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 9090] -> 
  3*a^4 - 2*a^6 + z^2 - 5*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - 
   7*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 9091] -> 3 - a^(-2) - a^2 + 10*z^2 - 
   (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 11*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9092] -> -1 + a^(-4) + a^4 - 5*z^2 + z^2/a^4 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 9093] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 9094] -> 
  -5 + 3/a^2 + 3*a^2 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   12*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9095] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 4*z^2 + 2*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + 2*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 9096] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 
   4*a^8*z^2 - a^4*z^4 - 2*a^6*z^4, Knot[14, NonAlternating, 9097] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 + z^2/a^6 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9098] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - z^4 + 4*a^2*z^4 + 
   2*a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 9099] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 2*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 - z^6, Knot[14, NonAlternating, 9100] -> 
  a^6 + a^8 + a^10 - 2*a^12 + 7*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - 
   2*a^12*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 9101] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 9102] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) + (5*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 9103] -> 
  -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9104] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 9105] -> a^2 + a^4 - a^6 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 9106] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 10*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 9107] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 9108] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 6*a^6*z^4 - 
   10*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 9109] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 9110] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 13*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   6*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 9111] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (20*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 9112] -> 
  2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 9113] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - z^4 + 
   9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 9114] -> 1 + 4*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - 3*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9115] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 
   5*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 9116] -> a^(-2) - a^2 + a^4 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[14, NonAlternating, 9117] -> 
  a^2 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 9118] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 - a^2*z^6, Knot[14, NonAlternating, 9119] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9120] -> a^(-2) - a^4 + a^6 - z^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 9121] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 9122] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 
   2*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9123] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   7*a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 + a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   11*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 9124] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9125] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 9126] -> 2 - 2*a^2 + a^4 + z^2 - 
   a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 4*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9127] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9128] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 9129] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 
   3*a^6 - a^8 - 2*z^2 + z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 9130] -> a^2 + a^4 - 2*a^6 + a^8 + a^10 - a^12 + 
   2*a^2*z^2 - a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 9131] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 9132] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   4*z^2 + z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 - 3*z^4 + 4*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 9133] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 9134] -> 1 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^4 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9135] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 5*a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 9136] -> 2 - 2*a^2 + 2*a^6 - a^8 - 
   a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 9137] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 9138] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9139] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + (4*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 9140] -> 2 - 4*a^4 + 4*a^6 - a^8 + 2*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 - 3*z^4 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - z^6 + 
   4*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 9141] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 9142] -> 
  a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^4 - z^2/a^2 - z^4/a^6 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 9143] -> 
  a^(-2) - a^4 + a^6 - z^2 - a^2*z^2 - a^4*z^2 - z^4/a^2 + 2*a^2*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 9144] -> 
  a^(-2) - a^2 + a^4 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 9145] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - 2*z^2 - z^2/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 9146] -> 1 - z^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 3*z^4 + 7*a^2*z^4 - 4*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9147] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9148] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + a^2*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 9149] -> 
  2 - a^2 - a^4 + a^6 - z^2 + z^2/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9150] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 3*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 9151] -> 1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9152] -> 3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 
   17*a^8*z^2 - 5*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 20*a^8*z^4 - 
   2*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 9153] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 9154] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 7*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 9155] -> 
  3*a^8 - a^10 - a^14 + 5*a^6*z^2 + 8*a^8*z^2 + a^12*z^2 - a^14*z^2 + 
   5*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 9156] -> a^6 + a^8 - a^10 + 2*a^12 - 2*a^14 + 
   6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + 3*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 
   5*a^8*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 9157] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 - a^4*z^4 - 
   z^6, Knot[14, NonAlternating, 9158] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9159] -> 
  a^6 + a^8 - a^14 + 2*a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 
   a^12*z^2 + a^4*z^4 + 2*a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 9160] -> 2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 
   6*a^6*z^2 + a^8*z^2 + 7*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 6*a^6*z^4 + 
   3*a^8*z^4 + 5*a^10*z^4 + a^12*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 9161] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   8*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 9162] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   3*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 - a^4*z^6, Knot[14, NonAlternating, 9163] -> 
  2*a^6 - a^8 + a^10 - a^14 + 6*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + 5*a^6*z^4 + 5*a^8*z^4 + a^10*z^4 + a^12*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 9164] -> 1 - 2*a^2 + 3*a^4 - a^8 + 
   2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9165] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 3*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 9166] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   6*z^2 - z^2/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + (24*z^2)/a^2 - 8*z^4 + 
   (7*z^4)/a^6 - (29*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9167] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   30*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 9168] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + (5*z^2)/a^8 - (9*z^2)/a^6 + 
   (5*z^2)/a^4 - 3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 9169] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9170] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - z^2/a^12 + (11*z^2)/a^10 - (24*z^2)/a^8 + (17*z^2)/a^6 + 
   (7*z^4)/a^10 - (27*z^4)/a^8 + (24*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^10 - 
   (13*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 9171] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 
   10*z^4 - z^4/a^4 + (10*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 9172] -> 
  -3 + 10*a^2 - 9*a^4 + 4*a^6 - a^8 - 7*z^2 + 26*a^2*z^2 - 27*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 36*a^4*z^4 + 15*a^6*z^4 - 
   a^8*z^4 - z^6 + 13*a^2*z^6 - 24*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 9173] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9174] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 + (5*z^2)/a^10 - (7*z^2)/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 9175] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 9176] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   6*z^4 - z^4/a^2 - a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 9177] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 9178] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 16*z^2 + (2*z^2)/a^6 - (19*z^2)/a^4 + 
   (37*z^2)/a^2 + a^2*z^2 - 20*z^4 + z^4/a^6 - (17*z^4)/a^4 + (44*z^4)/a^2 + 
   3*a^2*z^4 - 11*z^6 - (7*z^6)/a^4 + (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 9179] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + (5*z^2)/a^10 - (26*z^2)/a^8 + 
   (35*z^2)/a^6 - (9*z^2)/a^4 + (2*z^4)/a^10 - (24*z^4)/a^8 + (45*z^4)/a^6 - 
   (14*z^4)/a^4 - (9*z^6)/a^8 + (29*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^8 + 
   (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 9180] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (5*z^2)/a^14 - (15*z^2)/a^12 + 
   (29*z^2)/a^10 + (2*z^2)/a^8 - (5*z^4)/a^14 - (4*z^4)/a^12 + 
   (36*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 9181] -> 2/a^10 - 7/a^8 + 6/a^6 + (5*z^2)/a^10 - 
   (16*z^2)/a^8 + (15*z^2)/a^6 + (4*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 9182] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 9183] -> a^(-16) - 2/a^14 - a^(-12) + 
   3/a^8 - (4*z^2)/a^14 - (2*z^2)/a^12 + (6*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 9184] -> -2/a^6 + 3/a^4 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 9185] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9186] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (5*z^2)/a^12 + (6*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^12 + (8*z^4)/a^10 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 9187] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 9188] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (8*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 9189] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 9190] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 5*z^2 + 
   (7*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 9191] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - 
   z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9192] -> -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9193] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^4, Knot[14, NonAlternating, 9194] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 9195] -> a^(-14) - 4/a^12 + 5/a^10 - 
   3/a^8 + 2/a^4 - (5*z^2)/a^12 + (13*z^2)/a^10 - (9*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9196] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (15*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9197] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9198] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 9199] -> -3/a^8 + 4/a^6 + z^2/a^12 - 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 9200] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^4*z^2 + 
   15*a^6*z^2 - 6*a^8*z^2 - 3*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - a^4*z^6 + 
   6*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 9201] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^8 - z^4/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 9202] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9203] -> a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^16 - (5*z^2)/a^14 - (12*z^2)/a^12 + (22*z^2)/a^10 + (5*z^2)/a^8 - 
   (5*z^4)/a^14 - (3*z^4)/a^12 + (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 9204] -> -2 + 4*a^2 - a^8 - 5*z^2 + 
   10*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 + 3*a^4*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 9205] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + a^4*z^2 - 
   8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 9206] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 
   2*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 9207] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 14*z^2 - (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   9*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 9208] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9209] -> -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9210] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 - 
   z^4/a^8 - (4*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 9211] -> 
  a^(-14) - a^(-12) - 5/a^10 + 6/a^8 - (3*z^2)/a^12 - (7*z^2)/a^10 + 
   (18*z^2)/a^8 - z^4/a^14 - z^4/a^10 + (19*z^4)/a^8 + z^6/a^12 + z^6/a^10 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 9212] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9213] -> 2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 
   2/a^6 + z^2/a^14 - (11*z^2)/a^12 + (14*z^2)/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^12 + (14*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 9214] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 9215] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   3*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 9216] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (5*z^2)/a^10 - 
   z^2/a^8 + (6*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 + (4*z^4)/a^6 + z^4/a^4 - 
   z^6/a^8, Knot[14, NonAlternating, 9217] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   2*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 9218] -> 
  3/a^10 - 13/a^8 + 15/a^6 - 4/a^4 + (3*z^2)/a^10 - (25*z^2)/a^8 + 
   (41*z^2)/a^6 - (12*z^2)/a^4 + z^4/a^10 - (19*z^4)/a^8 + (45*z^4)/a^6 - 
   (13*z^4)/a^4 - (7*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 9219] -> 
  -a^(-16) + 7/a^14 - 16/a^12 + 11/a^10 + (6*z^2)/a^14 - (35*z^2)/a^12 + 
   (40*z^2)/a^10 - z^4/a^14 - (24*z^4)/a^12 + (55*z^4)/a^10 - z^6/a^14 - 
   (5*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 9220] -> 8 - 4/a^2 - 2*a^2 - a^4 + 15*z^2 - 
   (7*z^2)/a^2 - 3*a^4*z^2 + 12*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 9221] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 15*z^2 + 
   (3*z^2)/a^6 - (23*z^2)/a^4 + (40*z^2)/a^2 - 14*z^4 + z^4/a^6 - 
   (19*z^4)/a^4 + (44*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 9222] -> 
  -a^(-12) + 6/a^10 - 14/a^8 + 12/a^6 - 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (29*z^2)/a^8 + (34*z^2)/a^6 - (8*z^2)/a^4 + (4*z^4)/a^10 - (24*z^4)/a^8 + 
   (39*z^4)/a^6 - (11*z^4)/a^4 - (9*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 9223] -> -4*a^4 + 15*a^6 - 13*a^8 + 3*a^10 - 
   12*a^4*z^2 + 41*a^6*z^2 - 25*a^8*z^2 + 3*a^10*z^2 - 13*a^4*z^4 + 
   45*a^6*z^4 - 19*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 26*a^6*z^6 - 7*a^8*z^6 - 
   a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 9224] -> -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 - 
   (3*z^2)/a^8 + z^2/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9225] -> -4/a^10 + 5/a^8 - z^2/a^14 - 
   (3*z^2)/a^12 - z^2/a^10 + (15*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + 
   (8*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 9226] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 9227] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   4*z^2 + z^2/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 9228] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 + (6*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 9229] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 12*z^2 - z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   z^4/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9230] -> -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9231] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   z^2/a^10 - (9*z^2)/a^6 + (15*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 9232] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 9233] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9234] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9235] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 9*z^2 - 
   z^2/a^6 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^4 + (7*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9236] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (4*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 9237] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9238] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9239] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 9240] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) - z^2/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (28*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9241] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9242] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 9243] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9244] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (14*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (9*z^4)/a^10 - (16*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9245] -> 
  a^(-14) - 6/a^12 + 11/a^10 - 11/a^8 + 6/a^6 - (9*z^2)/a^12 + 
   (27*z^2)/a^10 - (28*z^2)/a^8 + (17*z^2)/a^6 - (3*z^4)/a^12 + 
   (25*z^4)/a^10 - (33*z^4)/a^8 + (17*z^4)/a^6 + (9*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 9246] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 + z^2/a^10 - (8*z^2)/a^8 + (27*z^2)/a^6 - (32*z^2)/a^4 + 
   (13*z^2)/a^2 - (3*z^4)/a^8 + (22*z^4)/a^6 - (40*z^4)/a^4 + (13*z^4)/a^2 + 
   (8*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 9247] -> 
  -a^(-12) + 3/a^8 - 4/a^6 + 3/a^4 - (2*z^2)/a^12 + (4*z^2)/a^10 + 
   (5*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - z^4/a^8 - 
   (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 9248] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + z^2/a^8 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 9249] -> a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (27*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^8 + (28*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 9250] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9251] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - z^4 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 9252] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 
   z^4/a^8 + z^4/a^6 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 9253] -> -3/a^4 + 5/a^2 - a^2 - 2*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9254] -> a^(-10) - 7/a^8 + 11/a^6 - 6/a^4 + 2/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (29*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 - 
   (7*z^4)/a^8 + (29*z^4)/a^6 - (27*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 9255] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 9256] -> a^(-10) - 7/a^8 + 11/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (14*z^2)/a^8 + (33*z^2)/a^6 - (21*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (39*z^4)/a^6 - (26*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 9257] -> 5*a^8 - 4*a^10 + 2*a^4*z^2 - 2*a^6*z^2 + 
   18*a^8*z^2 - 8*a^10*z^2 + a^4*z^4 - 3*a^6*z^4 + 18*a^8*z^4 - 5*a^10*z^4 - 
   a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 9258] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 9259] -> a^6 + 3*a^8 - 3*a^10 + 
   a^2*z^2 + 4*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 9260] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   z^2/a^6 + (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 9261] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - 
   a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 9262] -> 
  a^4 + 2*a^8 - 2*a^10 + z^2 + a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - 
   a^2*z^4 - a^4*z^4 + a^8*z^4, Knot[14, NonAlternating, 9263] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 9*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 
   4*a^2*z^4 + 9*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 9264] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 10*z^2 - (6*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   10*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 9265] -> 
  2*a^4 - a^8 - z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 
   5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 9266] -> 3 - a^(-4) - a^4 + 6*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 9267] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 9268] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9269] -> a^2 + a^6 - a^8 - a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 9270] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 9271] -> 
  1 - a^2 + a^4 + a^6 - a^8 - a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 9272] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 9273] -> 
  -5 - 6/a^4 + 12/a^2 - 14*z^2 + z^2/a^6 - (16*z^2)/a^4 + (35*z^2)/a^2 - 
   14*z^4 - (15*z^4)/a^4 + (42*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + 
   (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9274] -> 3/a^14 - 11/a^12 + 9/a^10 + (2*z^2)/a^14 - 
   (27*z^2)/a^12 + (37*z^2)/a^10 - (2*z^4)/a^14 - (19*z^4)/a^12 + 
   (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 9275] -> 
  3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + (5*z^2)/a^10 - (24*z^2)/a^8 + 
   (30*z^2)/a^6 - (7*z^2)/a^4 + (2*z^4)/a^10 - (21*z^4)/a^8 + (37*z^4)/a^6 - 
   (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 9276] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9277] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 
   10*a^4*z^2 + 35*a^6*z^2 - 19*a^8*z^2 + 2*a^10*z^2 - 12*a^4*z^4 + 
   41*a^6*z^4 - 17*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 7*a^8*z^6 - 
   a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 9278] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 9279] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - z^2/a^14 - (7*z^2)/a^12 + 
   (7*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + (13*z^4)/a^10 + 
   (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 9280] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9281] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 7*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 9282] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   3*a^2*z^2 + 7*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 9283] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9284] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 9285] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 9286] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 9287] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + z^4/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 9288] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - (5*z^2)/a^12 + (10*z^2)/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + (6*z^4)/a^10 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^6)/a^8, Knot[14, NonAlternating, 9289] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 9290] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9291] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + a^4 + 
   z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9292] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 9293] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 - z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 9294] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (23*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - (13*z^4)/a^8 + (28*z^4)/a^6 - 
   (8*z^4)/a^4 - (6*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 9295] -> 
  a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - z^2/a^14 - (2*z^2)/a^12 - 
   (5*z^2)/a^10 + (17*z^2)/a^8 - z^4/a^14 + z^4/a^12 + (19*z^4)/a^8 + 
   z^6/a^12 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 9296] -> 3 - a^(-4) - a^4 + 8*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 + 10*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 9297] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 8*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (22*z^2)/a^2 - 7*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 9298] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 9299] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 - 10*z^4 - (12*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9300] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 9301] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9302] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 9303] -> a^(-10) - 6/a^8 + 7/a^6 - 
   a^(-4) + z^2/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 - 
   (8*z^4)/a^8 + (20*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9304] -> a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 - 
   z^2/a^14 - (2*z^2)/a^12 - (3*z^2)/a^10 + (13*z^2)/a^8 + (2*z^2)/a^6 + 
   z^4/a^12 + z^4/a^10 + (11*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 9305] -> 3/a^14 - 11/a^12 + 9/a^10 + z^2/a^14 - 
   (22*z^2)/a^12 + (30*z^2)/a^10 + (3*z^2)/a^8 - z^4/a^14 - (11*z^4)/a^12 + 
   (34*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^12 + (15*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 9306] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 7*a^4*z^2 + 28*a^6*z^2 - 14*a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 25*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 9307] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 - z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   (10*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9308] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   11*z^2 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9309] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9310] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (5*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9311] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9312] -> -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 - a^2*z^2 - z^4 + (2*z^4)/a^4 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 9313] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (15*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9314] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 9315] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 9316] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - z^2/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 + 
   (11*z^4)/a^6 - (29*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9317] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 5*z^2 + 
   18*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 17*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 9318] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 15*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9319] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^4 + z^4/a^2 + a^4*z^4 - 
   3*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 9320] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - (5*z^2)/a^12 + (19*z^2)/a^10 - 
   (25*z^2)/a^8 + (17*z^2)/a^6 - (2*z^4)/a^12 + (20*z^4)/a^10 - 
   (32*z^4)/a^8 + (17*z^4)/a^6 + (8*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 9321] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9322] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 32*z^2 - 
   (2*z^2)/a^4 + (19*z^2)/a^2 + 13*a^2*z^2 - 41*z^4 + (16*z^4)/a^2 + 
   14*a^2*z^4 - 26*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 9323] -> 
  -2/a^12 + 4/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 9324] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - z^2/a^14 + z^2/a^12 - (6*z^2)/a^10 + 
   (10*z^2)/a^8 + (4*z^2)/a^6 + z^4/a^12 - z^4/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 9325] -> 
  -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 5*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 9326] -> 
  -4 - a^(-6) + 3/a^4 + 3*a^2 - 10*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 + 6*a^2*z^2 - 10*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 9327] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9328] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 + 
   z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9329] -> -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 + 
   (3*z^2)/a^10 - (5*z^2)/a^6 + (3*z^2)/a^2 - z^4/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 9330] -> a^2 + a^4 - a^6 + a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 9331] -> a^(-2) - a^4 + a^6 - z^2 - a^2*z^2 - 
   a^4*z^2 - z^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 9332] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - 4*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9333] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - (3*z^2)/a^12 + (14*z^2)/a^10 - 
   (20*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + (11*z^4)/a^10 - (20*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9334] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (18*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9335] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (5*z^2)/a^8 + (20*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^8 + (20*z^4)/a^6 - (31*z^4)/a^4 + 
   (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 9336] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9337] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   (7*z^4)/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 9338] -> 3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9339] -> 4*a^2 - 5*a^4 + 2*a^6 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9340] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2/a^4 + 
   5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 9341] -> -4/a^8 + 9/a^6 - 7/a^4 + 
   3/a^2 - (6*z^2)/a^8 + (25*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 - 
   (2*z^4)/a^8 + (22*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9342] -> -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + 
   (7*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 9343] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9344] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 
   z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 9345] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9346] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 9347] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9348] -> 
  2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 9349] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - 
   z^4/a^8 + (13*z^4)/a^6 - (27*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9350] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 21*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 9351] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 9352] -> 
  -2 + 6*a^2 - 3*a^4 - 4*z^2 + 10*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   7*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 9353] -> a^(-12) - 6/a^8 + 6/a^6 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 9354] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 9355] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9356] -> -2 + 4*a^2 - a^4 + 2*a^6 - 2*a^8 - 4*z^2 + 
   9*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 9357] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 
   11*z^2 - z^2/a^6 - (8*z^2)/a^4 + (26*z^2)/a^2 - 11*z^4 - z^4/a^6 - 
   (8*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 9358] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (6*z^2)/a^12 + (15*z^2)/a^10 - 
   (17*z^2)/a^8 + (14*z^2)/a^6 - (2*z^4)/a^12 + (19*z^4)/a^10 - 
   (27*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 9359] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (23*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 9360] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 + (6*z^2)/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 + z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9361] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - (6*z^4)/a^8 + 
   (20*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9362] -> a^(-10) - 6/a^8 + 9/a^6 - 
   5/a^4 + 2/a^2 + z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (14*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9363] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9364] -> 
  -8 + 3/a^2 + 9*a^2 - 3*a^4 - 21*z^2 + (7*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 + z^4/a^4 + (4*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   8*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9365] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 9366] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + (4*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9367] -> 6 - 2/a^2 - 4*a^2 + a^4 + 10*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^6*z^2 + 5*z^4 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9368] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2/a^8 + z^2/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9369] -> 1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 9370] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + 
   (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 + (5*z^4)/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 9371] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (22*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9372] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 9373] -> 4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9374] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 9375] -> 
  -7 + a^(-4) + 2/a^2 + 6*a^2 - a^4 - 18*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9376] -> 
  1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9377] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   7*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   10*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 6*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 9378] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 9379] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 9380] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 9381] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2 + z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 9382] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   24*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 30*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9383] -> 3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 7*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 9384] -> 
  3*a^2 - 5*a^4 + 4*a^6 - a^10 + 7*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + 
   a^2*z^6 - 7*a^4*z^6 - a^4*z^8, Knot[14, NonAlternating, 9385] -> 
  3*a^2 - 3*a^4 + a^6 + 3*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 9386] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 9387] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9388] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 9389] -> -4 - 2/a^4 + 6/a^2 + a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9390] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   2*a^4*z^4 + z^6, Knot[14, NonAlternating, 9391] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 3*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 - (3*z^4)/a^4 - (3*z^4)/a^2, Knot[14, NonAlternating, 9392] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 - z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9393] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*a^2*z^2 + 
   10*a^4*z^2 - 8*a^6*z^2 + a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 9394] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^4*z^2 - z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 9395] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 9396] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   6*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, NonAlternating, 9397] -> 
  2*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 
   3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 9398] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 9399] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 9400] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 
   a^4*z^4 + z^6/a^2, Knot[14, NonAlternating, 9401] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 
   4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9402] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9403] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9404] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9405] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   6*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 
   5*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9406] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9407] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^4*z^2 + 
   7*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 9408] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 9409] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 + 
   z^2/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + z^4 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 9410] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 + 2*a^2*z^2 + 
   2*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 8*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9411] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 3*z^4 + 8*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9412] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + 
   3*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 9413] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9414] -> -2 + a^(-4) + 2*a^2 - 9*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 9415] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^8 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9416] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9417] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 
   4*z^2 - z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 9418] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (5*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 9419] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - z^6/a^4, Knot[14, NonAlternating, 9420] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 3*z^4 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9421] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 13*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9422] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 5*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9423] -> 3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   8*a^6*z^2 - 5*a^8*z^2 + 13*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 7*a^6*z^4 - 
   4*a^8*z^4 + 13*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 + 
   4*a^10*z^6 - a^8*z^8, Knot[14, NonAlternating, 9424] -> 
  -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 7*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (25*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - z^4/a^8 + (16*z^4)/a^6 - 
   (35*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9425] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   7*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 
   7*a^6*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9426] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   10*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9427] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 5*z^2 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 9428] -> 
  1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9429] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9430] -> -4 - a^(-6) - a^(-4) + 6/a^2 + 
   a^2 - 7*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 9431] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9432] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   6*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9433] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   3*z^2 - z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + z^4/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 9434] -> 
  -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 - 5*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 9435] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 9436] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   5*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 9437] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - 
   a^8 + z^2 + 3*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 9438] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9439] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9440] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + 
   (5*z^2)/a^4 - (10*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9441] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9442] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9443] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^4*z^2 + 11*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   10*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 4*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 9444] -> -3/a^8 + 7/a^6 - 6/a^4 + 
   3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + 
   (6*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9445] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 9446] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   17*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9447] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 9448] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 
   8*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 9449] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 9450] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 8*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 9451] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 8*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (18*z^2)/a^2 + a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (14*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9452] -> -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - 
   a^8 - z^2 + z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 9453] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 9454] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 9455] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 9456] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 9457] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^6*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 9458] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 + z^2 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9459] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9460] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - z^2/a^2 - 
   a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + a^6*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 9461] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9462] -> 1 - a^6 + 2*a^8 - a^10 + z^2 - a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 9463] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 9464] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 
   2*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 9465] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + (2*z^4)/a^4 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 9466] -> 
  a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 2*z^2 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9467] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 9468] -> 2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 8*z^2 - z^2/a^4 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 9*z^4 - 
   z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9469] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + 
   z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9470] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - 
   a^2 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 9471] -> 1 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^4 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9472] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 5*a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 9473] -> 2 - 2*a^2 + 2*a^6 - a^8 - 
   a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 9474] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 9475] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9476] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 9477] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 10*z^2 - z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   11*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9478] -> 2*a^2 - a^4 + 2*a^2*z^2 - 2*a^6*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 9479] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 + z^4 - 6*a^2*z^4 + 
   a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 9480] -> 1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - 
   7*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 9481] -> 5 - 3/a^2 + a^2 - 2*a^4 + 11*z^2 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 11*z^4 - (3*z^4)/a^2 - a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 9482] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 
   3*a^10*z^2 - a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 9483] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 9484] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 3*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9485] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   z^4/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 9486] -> -7 + 3/a^2 + 6*a^2 - a^6 - 16*z^2 + 
   (6*z^2)/a^2 + 9*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 15*z^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 9487] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9488] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   z^2/a^4 - 4*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9489] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9490] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 17*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 
   21*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 9491] -> 
  3*a^8 - a^10 - a^14 + 16*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 2*a^14*z^2 + 
   19*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^10*z^6 + 
   a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 9492] -> 
  2*a^4 - 2*a^6 + 2*a^8 - a^12 + 7*a^4*z^2 - 8*a^6*z^2 + 8*a^8*z^2 + 
   a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 11*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 9493] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9494] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 9495] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9496] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9497] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9498] -> -2 + 2/a^2 + a^4 - 6*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 + z^4/a^4 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 9499] -> -5 + 3/a^2 + 3*a^2 - 6*z^2 + z^2/a^4 + 
   2*a^2*z^2 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 9500] -> 2 - a^2 - a^4 + a^6 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9501] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9502] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 9503] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 - 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 2*a^6*z^4 - z^6 + 5*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9504] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + a^8*z^2 - 4*z^4 + 9*a^2*z^4 - 4*a^4*z^4 - 
   2*a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 9505] -> 
  2 - a^2 - a^4 + a^6 + z^2 - z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   z^4/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 9506] -> 
  1 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 9507] -> 
  a^6 + a^8 - a^14 + 6*a^6*z^2 + 5*a^8*z^2 + a^10*z^2 + a^12*z^2 - a^14*z^2 + 
   5*a^6*z^4 + 5*a^8*z^4 + a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 9508] -> a^2 - a^6 + 2*a^8 - a^12 + 3*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 9509] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 4*z^2 - z^2/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 9510] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 9511] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 9512] -> 
  3 - a^(-2) - a^2 + 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 9513] -> 
  -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 3*a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 9514] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (15*z^4)/a^4 - (5*z^4)/a^2 + (7*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 9515] -> 
  2/a^14 - 5/a^12 + 4/a^8 - (9*z^2)/a^12 + (5*z^2)/a^10 + (13*z^2)/a^8 - 
   z^4/a^14 - (4*z^4)/a^12 + (12*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 9516] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2/a^10 + (9*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9517] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9518] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9519] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   7*a^4*z^2 + 28*a^6*z^2 - 16*a^8*z^2 + 2*a^10*z^2 - 11*a^4*z^4 + 
   36*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - 
   a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 9520] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 + (5*z^4)/a^10 - 
   (13*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 9521] -> -2 + 5*a^2 - a^4 - a^6 - 
   5*z^2 + 11*a^2*z^2 - 2*a^6*z^2 - 2*z^4 + 8*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 9522] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 9523] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 9524] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 
   5*z^2 + 13*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 9525] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + z^2/a^16 - (3*z^2)/a^14 - 
   (22*z^2)/a^12 + (35*z^2)/a^10 - (4*z^4)/a^14 - (15*z^4)/a^12 + 
   (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 9526] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (20*z^2)/a^2 - 10*z^4 - z^4/a^6 - (6*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9527] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (6*z^2)/a^12 + (16*z^2)/a^10 - (17*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 - (27*z^4)/a^8 + (16*z^4)/a^6 + 
   (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 9528] -> 
  a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (11*z^2)/a^8 + 
   (22*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (22*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 9529] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 9530] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 2*z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 9531] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 7*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 9532] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^10 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, Knot[14, NonAlternating, 9533] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 5*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 9534] -> a^(-12) - 3/a^10 + 3/a^8 - 3/a^6 + 3/a^4 + 
   z^2/a^12 - (3*z^2)/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - 
   z^4/a^10 + z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 9535] -> 1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 9536] -> 
  2 - a^(-2) - a^2 + 2*a^4 - a^8 + 4*z^2 - (2*z^2)/a^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9537] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 - (3*z^2)/a^14 - (6*z^2)/a^12 + (8*z^2)/a^10 + (11*z^2)/a^8 - 
   z^4/a^14 - (2*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 9538] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 9539] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 - 
   (5*z^2)/a^6 + (11*z^2)/a^4 - 3*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 9540] -> -a^(-10) + a^(-6) + a^(-4) - 
   z^2/a^12 + (2*z^2)/a^10 + z^2/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9541] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 9542] -> 1 - 2/a^4 + 3/a^2 - a^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 - 4*z^4 - z^4/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 9543] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   7*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 9544] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (14*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9545] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9546] -> -1 - 2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 
   z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 9547] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9548] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 + 
   z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 9549] -> -2 + 2/a^2 + a^4 - 2*z^2 - a^2*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 9550] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (8*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 + z^4/a^4 - (11*z^4)/a^2 + z^6 - 
   (6*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 9551] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9552] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9553] -> a^(-4) - a^(-2) + a^2 + z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 9554] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9555] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 10*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9556] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 9557] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9558] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + z^4/a^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9559] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 9560] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + (6*z^2)/a^10 - (15*z^2)/a^8 + 
   (12*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (13*z^4)/a^8 + 
   (14*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9561] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9562] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 9563] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - 
   a^2*z^2 - 5*a^4*z^2 + 27*a^6*z^2 - 17*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 - 
   a^4*z^4 + 26*a^6*z^4 - 11*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 12*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 9564] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 + (8*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9565] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^2 - a^2*z^2 + 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9566] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4/a^8 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 9567] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) - (3*z^2)/a^14 - (10*z^2)/a^12 + 
   (16*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - z^4/a^12 + (17*z^4)/a^10 + 
   (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 9568] -> a^(-10) - 6/a^8 + 10/a^6 - 
   7/a^4 + 3/a^2 + z^2/a^10 - (13*z^2)/a^8 + (31*z^2)/a^6 - (23*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (38*z^4)/a^6 - (27*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 9569] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9570] -> a^(-14) - 5/a^12 + 8/a^10 - 
   7/a^8 + 3/a^6 + a^(-4) - (7*z^2)/a^12 + (21*z^2)/a^10 - (19*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - (20*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9571] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 9*z^4 + z^4/a^4 + z^4/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 9572] -> -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + (8*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 9573] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 5*a^4*z^2 + 22*a^6*z^2 - 10*a^8*z^2 + 
   a^10*z^2 - 10*a^4*z^4 + 32*a^6*z^4 - 14*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 
   23*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 9574] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^10 - 
   (5*z^2)/a^8 + (11*z^2)/a^6 + (3*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 9575] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 
   5*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + 6*a^2*z^4 + 7*a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 9576] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (3*z^2)/a^12 - (9*z^2)/a^10 + 
   (2*z^2)/a^8 + (9*z^2)/a^6 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, Knot[14, NonAlternating, 9577] -> 
  -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 4*z^2 + 7*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9578] -> 2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + 
   z^2/a^16 - (7*z^2)/a^14 - (14*z^2)/a^12 + (32*z^2)/a^10 - (5*z^4)/a^14 - 
   (10*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 9579] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 6*z^2 - (2*z^2)/a^6 + (12*z^2)/a^2 - 9*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9580] -> -3/a^8 + 4/a^6 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - 
   (26*z^4)/a^8 + (16*z^4)/a^6 + (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 9581] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 9582] -> a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 9583] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 + 
   2*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   9*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 9584] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[14, NonAlternating, 9585] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - 
   z^2/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + z^4 + 3*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 9586] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 9587] -> -2 + 4*a^2 - a^8 - 2*z^2 - z^2/a^2 + 
   9*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + 5*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 9588] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) - (3*z^2)/a^14 - (10*z^2)/a^12 + 
   (16*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + (19*z^4)/a^10 + 
   (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 9589] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 9590] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9591] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 + (2*z^2)/a^8 + z^2/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 9592] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9593] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + z^2/a^8 + (9*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, Knot[14, NonAlternating, 9594] -> 
  a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 6*a^6*z^2 + a^8*z^2 - a^10*z^2 - 
   2*a^4*z^4 + 9*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 9595] -> -a^(-6) + a^(-4) + a^(-2) + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 9596] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 
   8*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9597] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 
   2/a^8 + z^2/a^16 - (8*z^2)/a^14 - (4*z^2)/a^12 + (15*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^4)/a^14 + (27*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 9598] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 
   3*z^2 + 4*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 + 
   5*a^4*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 9599] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 9600] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 9601] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9602] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 5*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 9603] -> 
  2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 9604] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 9605] -> 
  -3/a^4 + 5/a^2 - a^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   z^4/a^6 - z^4/a^4 + (9*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 9606] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 9607] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 7*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 9608] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + (6*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 9609] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 9610] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 9611] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 9612] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 9613] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 9614] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 9615] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + 16*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   3*z^4 + 12*a^2*z^4 + a^4*z^4 - a^6*z^4 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 9616] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9617] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   11*z^4 + (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 9618] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   (6*z^4)/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 9619] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 9620] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + z^2/a^14 - (17*z^2)/a^12 + 
   (18*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - (9*z^4)/a^12 + (25*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 9621] -> a^(-10) - 5/a^8 + 4/a^6 + 
   2/a^4 - a^(-2) - (8*z^2)/a^8 + (13*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   (6*z^4)/a^8 + (16*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9622] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 9623] -> 
  -3/a^4 + 5/a^2 - a^2 - z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9624] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (15*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (9*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9625] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 9626] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9627] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 9628] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9629] -> -4 - 2/a^4 + 6/a^2 + a^4 - 11*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 8*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 9630] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 9631] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (3*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 9632] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (14*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (7*z^4)/a^10 - (15*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9633] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - a^2*z^4 + a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 9634] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - 
   z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 9635] -> 1 - a^(-2) + 2*a^2 - a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 9636] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9637] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9638] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9639] -> -a^(-12) + a^(-10) + 2/a^8 - 
   5/a^6 + 4/a^4 - z^2/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 - (12*z^2)/a^6 + 
   (9*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 9640] -> 
  -3/a^12 + 8/a^10 - 10/a^8 + 6/a^6 - (5*z^2)/a^12 + (22*z^2)/a^10 - 
   (29*z^2)/a^8 + (19*z^2)/a^6 - (2*z^4)/a^12 + (23*z^4)/a^10 - 
   (40*z^4)/a^8 + (20*z^4)/a^6 + (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 9641] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   z^2/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (23*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 9642] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 9643] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   5*z^2 + 22*a^2*z^2 - 28*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   25*a^2*z^4 - 38*a^4*z^4 + 17*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 9644] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9645] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9646] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   21*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9647] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 - a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (29*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9648] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9649] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9650] -> -5/a^8 + 11/a^6 - 8/a^4 + 3/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (32*z^2)/a^6 - (23*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (38*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 9651] -> 
  2/a^10 - 7/a^8 + 6/a^6 - (2*z^2)/a^12 + (11*z^2)/a^10 - (22*z^2)/a^8 + 
   (17*z^2)/a^6 - z^4/a^12 + (15*z^4)/a^10 - (31*z^4)/a^8 + (17*z^4)/a^6 + 
   (7*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 9652] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 26*z^2 - z^2/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - 37*z^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9653] -> -2/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (6*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 9654] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 9655] -> 4 - a^(-4) - 2*a^2 + 11*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9656] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 19*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9657] -> -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - (32*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (40*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9658] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 
   4*a^4 - 22*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 
   27*z^4 - z^4/a^4 + (12*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9659] -> a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^16 - (5*z^2)/a^14 - (12*z^2)/a^12 + (22*z^2)/a^10 + (5*z^2)/a^8 - 
   (5*z^4)/a^14 - (3*z^4)/a^12 + (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 9660] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-4) - z^2/a^12 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 + (2*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9661] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (4*z^2)/a^12 + (16*z^2)/a^10 - (24*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 - (32*z^4)/a^8 + (17*z^4)/a^6 + 
   (8*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 9662] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (20*z^2)/a^6 - (23*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^8 + (20*z^4)/a^6 - 
   (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9663] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (19*z^2)/a^6 - (27*z^2)/a^4 + (12*z^2)/a^2 - z^4/a^8 + 
   (18*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9664] -> a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 
   5/a^6 + z^2/a^14 - (8*z^2)/a^12 + (17*z^2)/a^10 - (20*z^2)/a^8 + 
   (15*z^2)/a^6 - (4*z^4)/a^12 + (21*z^4)/a^10 - (29*z^4)/a^8 + 
   (16*z^4)/a^6 + (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 9665] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 14*z^2 + z^2/a^6 - (11*z^2)/a^4 + (25*z^2)/a^2 + 
   2*a^2*z^2 - 17*z^4 + z^4/a^6 - (12*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 
   10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 9666] -> 
  -1 + 3/a^6 - 8/a^4 + 7/a^2 - 4*z^2 + (8*z^2)/a^6 - (23*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 9667] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 9668] -> 
  4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 10*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 9669] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9670] -> -2/a^6 + 3/a^4 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 9671] -> 
  -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 9672] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 5*z^2 + z^2/a^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4, Knot[14, NonAlternating, 9673] -> 
  2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 3*z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 9674] -> 
  a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^4 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9675] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 - 
   z^2/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 9676] -> 2 - 2*a^2 + a^4 + 2*z^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 9677] -> 
  3*a^4 - 5*a^8 + 4*a^10 - a^12 - a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 
   11*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 9678] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + 
   a^4 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9679] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 
   5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9680] -> 3*a^4 - 2*a^6 - 2*a^8 + 4*a^10 - 2*a^12 + 
   8*a^4*z^2 - 5*a^6*z^2 - 5*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   6*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 9681] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   7*a^2*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + a^6*z^6, Knot[14, NonAlternating, 9682] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 11*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (21*z^2)/a^2 + a^2*z^2 - 4*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (16*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9683] -> a^2 + a^4 - 2*a^6 + a^8 + a^10 - a^12 + 
   3*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 - 
   4*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 9684] -> 
  a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 9685] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 
   4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9686] -> 2 - a^2 - a^4 + a^6 + z^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - z^4 - a^2*z^4 + a^4*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 9687] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4 - z^4/a^8 + z^4/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9688] -> 3*a^4 - 2*a^6 + z^2 - a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 - 
   a^8*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9689] -> 
  2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 2/a^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 9690] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   8*a^4*z^2 - 7*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   8*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 9691] -> 2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 9692] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   10*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 9693] -> 
  1 - z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 9694] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   3*a^2*z^2 - a^4*z^2 - 2*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 - a^4*z^6, Knot[14, NonAlternating, 9695] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 - a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 9696] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 
   z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9697] -> 1 + a^4 - 3*a^6 + 3*a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 9698] -> -a^(-8) + a^(-6) + 2/a^4 - 
   2/a^2 + a^2 + z^2 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 9699] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 9700] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + 
   z^2/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 9701] -> 2*a^4 - a^6 + a^10 - a^12 + 2*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 3*a^10*z^2 - a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 9702] -> 1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - 
   4*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 9703] -> 
  4 + a^(-6) - a^(-4) - a^(-2) - 4*a^2 + 2*a^4 + 10*z^2 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 11*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9704] -> 2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + 
   4*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 3*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 - 
   5*a^6*z^4 - a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 9705] -> 
  -1 - a^(-6) + 3/a^2 - 7*z^2 - z^2/a^6 + (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9706] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (11*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9707] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + 
   (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9708] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   21*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 27*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 25*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9709] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 9710] -> 6 - 3/a^2 - a^2 - a^4 + 11*z^2 - 
   (5*z^2)/a^2 - 2*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   2*z^6 + a^2*z^6, Knot[14, NonAlternating, 9711] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 9712] -> 
  5*a^4 - 7*a^6 + 4*a^8 - a^10 - a^2*z^2 + 11*a^4*z^2 - 15*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 9*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9713] -> 4*a^8 - 3*a^10 + a^12 - a^14 + 4*a^6*z^2 + 
   11*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 9*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 9714] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   9*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 
   14*a^6*z^4 + 3*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 9715] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9716] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[14, NonAlternating, 9717] -> 
  2*a^2 - a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 9718] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 9719] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - 10*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 6*a^2*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 9720] -> 
  2 + a^(-4) - 2/a^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9721] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9722] -> a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 
   2*a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + a^12*z^2 + a^4*z^4 + 
   2*a^6*z^4 + 2*a^8*z^4, Knot[14, NonAlternating, 9723] -> 
  a^2 + a^4 - 2*a^6 + a^8 + a^10 - a^12 + 3*a^2*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 9724] -> 2 + a^(-4) - 2/a^2 + z^2 - (2*z^2)/a^2 + 
   a^4*z^2 - a^6*z^2 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 9725] -> a^(-4) - a^(-2) + a^2 + 2*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^2 - a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 9726] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 3*a^4*z^2 + 
   17*a^6*z^2 - 8*a^8*z^2 - 3*a^4*z^4 + 13*a^6*z^4 - 2*a^10*z^4 - a^4*z^6 + 
   5*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 9727] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^8 - (5*z^6)/a^6 - z^8/a^6, 
 Knot[14, NonAlternating, 9728] -> -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 + 
   a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - z^4 + 2*a^2*z^4 + 8*a^4*z^4 - 
   2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 9729] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 + z^4/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 9730] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 5*z^2 + 10*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 
   4*z^4 + 12*a^2*z^4 + a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9731] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (5*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9732] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 + 
   6*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 11*z^4 - 
   z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 6*z^6 + z^8, 
 Knot[14, NonAlternating, 9733] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   10*z^2 + z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9734] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^4)/a^8 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 9735] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 - 
   5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 9736] -> 
  -a^(-8) + a^(-6) + a^(-2) + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   (8*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9737] -> -a^4 + 6*a^6 - 4*a^8 - 5*a^4*z^2 + 
   22*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 10*a^4*z^4 + 32*a^6*z^4 - 
   14*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 9738] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (5*z^2)/a^8 + (11*z^2)/a^6 + (3*z^4)/a^10 - 
   (8*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 9739] -> -1 + 6*a^4 - 4*a^6 - 4*z^2 + 
   5*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + 6*a^2*z^4 + 7*a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 9740] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (4*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + 
   (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, Knot[14, NonAlternating, 9741] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 4*z^2 + 8*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9742] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   (2*z^2)/a^16 - (8*z^2)/a^14 - (16*z^2)/a^12 + (33*z^2)/a^10 - 
   (6*z^4)/a^14 - (11*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 9743] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 9744] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (14*z^2)/a^2 - 9*z^4 - z^4/a^6 - (4*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 9745] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - (16*z^2)/a^8 + 
   (15*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (27*z^4)/a^8 + (16*z^4)/a^6 + 
   (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 9746] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 9747] -> -2/a^12 + 6/a^10 - 6/a^8 + 3/a^4 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (15*z^2)/a^8 + (7*z^2)/a^4 + 
   (10*z^4)/a^10 - (19*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9748] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 9749] -> -1 + a^(-4) + a^4 + 2*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 9750] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + 2*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 
   3*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 9751] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 - (2*z^2)/a^14 - (11*z^2)/a^12 + 
   (14*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + (18*z^4)/a^10 + 
   (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 9752] -> -a^(-8) + 2/a^4 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 9753] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9754] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 9755] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 9756] -> -a^2 + 4*a^4 - a^6 - a^8 - 
   2*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 9757] -> 
  2*a^4 - a^8 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 9758] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 9759] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9760] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 - z^6 + z^6/a^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 9761] -> a^(-16) - 6/a^12 + 4/a^10 + 
   2/a^8 + z^2/a^16 - (5*z^2)/a^14 - (8*z^2)/a^12 + (13*z^2)/a^10 + 
   (9*z^2)/a^8 - (5*z^4)/a^14 + z^4/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 9762] -> 
  a^(-16) - 2/a^14 - a^(-10) + 2/a^8 + a^(-6) - (4*z^2)/a^14 + z^2/a^12 + 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 9763] -> 
  2 + 2/a^6 - 3/a^4 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 9764] -> -a^(-6) + a^(-4) + a^(-2) - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9765] -> 3 - a^(-2) - a^2 + 4*z^2 - 6*a^2*z^2 + 
   3*a^4*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 9766] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 + 
   (9*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 9767] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9768] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 9769] -> 6 - 3/a^2 - a^2 - a^4 + 8*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 9770] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9771] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 9772] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - 
   a^8 - 3*z^2 + 11*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 9773] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 9774] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 16*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 10*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9775] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9776] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   5*z^2 + 11*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9777] -> a^2 + 2*a^4 - 3*a^6 + a^8 - a^2*z^2 + 
   7*a^4*z^2 - 6*a^6*z^2 + a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9778] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9779] -> 1 - a^6 + 2*a^8 - a^10 + z^2 - a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 - z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 9780] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 9781] -> 
  2*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 9782] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   z^2/a^4 - z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 9783] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9784] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 6*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9785] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9786] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 9787] -> 
  3*a^4 - 2*a^6 + 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 9788] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 9789] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 9790] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 9791] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 - a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 - z^6 + 5*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9792] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 4*z^4 + 10*a^2*z^4 - 
   8*a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9793] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9794] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9795] -> -2 + 2/a^2 + a^4 - 2*z^2 - a^2*z^2 + 
   4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9796] -> 2 + a^(-4) - 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 9797] -> 
  1 - 3*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^4 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9798] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 9799] -> 
  -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 + z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 9800] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 + 4*a^2*z^2 + a^6*z^2 - z^4 + 
   2*a^2*z^4 + a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 9801] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 
   a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 9802] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 4*a^6*z^2 + 
   9*a^8*z^2 - 3*a^10*z^2 - 2*a^12*z^2 + 6*a^6*z^4 + 4*a^8*z^4 + 4*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 9803] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 
   4/a^2 + z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 9804] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 8*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   7*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 9805] -> a^2 + a^6 - a^8 + a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 9806] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + (4*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 9807] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9808] -> 
  a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 - a^4*z^4 + 9*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 9809] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 9810] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - (4*z^2)/a^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9811] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 21*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 9812] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9813] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   4*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 9814] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + z^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 
   2*z^4 - 6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 9815] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9816] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 14*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9817] -> 
  2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 3*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 9818] -> 
  -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^12 + (14*z^2)/a^10 - 
   (19*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 + (10*z^4)/a^10 - (21*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 9819] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 9820] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 9821] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 9822] -> 
  4 - 2/a^2 - a^4 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   5*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 9823] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 3*a^2*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9824] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 + (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 9825] -> a^4 + a^6 - a^10 + a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9826] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 9827] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 9828] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 9829] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 9830] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   a^8*z^2 + 2*z^4 - 9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 9831] -> 
  -2 + a^(-4) - a^(-2) + 6*a^2 - 4*a^4 + a^6 - 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 9832] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 9833] -> 
  2*a^2 - a^4 + a^6 - 3*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 3*a^4*z^2 - 
   4*a^8*z^2 + 4*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 9834] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 
   3*a^6 - a^8 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 9835] -> a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 9836] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   a^2*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 9837] -> 
  2 - 3*a^2 + 5*a^4 - 5*a^6 + 2*a^8 + 3*z^2 - 9*a^2*z^2 + 11*a^4*z^2 - 
   10*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 10*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 + 
   z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 9838] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9839] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9840] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 9841] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 9842] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 - z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 9843] -> 1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 8*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9844] -> 1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 9845] -> a^2 + a^6 - a^8 - z^2 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 9846] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + a^2*z^2 + a^4*z^2 + 5*a^6*z^2 + a^10*z^2 + 
   a^2*z^4 - a^4*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 9847] -> 2*a^2 - a^4 + 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 9848] -> -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 9849] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 + z^2/a^10 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 9850] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 9851] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 9852] -> 2*a^4 - a^6 + a^10 - a^12 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 9853] -> 
  a^2 + a^4 - a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + 
   2*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 9854] -> 
  4*a^8 - 2*a^10 - a^12 + 2*a^6*z^2 + 13*a^8*z^2 - 2*a^10*z^2 - a^12*z^2 - 
   a^14*z^2 + 4*a^6*z^4 + 11*a^8*z^4 + a^10*z^4 + a^12*z^4 + a^6*z^6 + 
   2*a^8*z^6, Knot[14, NonAlternating, 9855] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 9856] -> 
  3*a^4 - 3*a^6 + 3*a^10 - 2*a^12 + 9*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 14*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 + 
   a^4*z^6 - 7*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 9857] -> 
  1 - 3*a^4 + 6*a^6 - 3*a^8 + z^2 + a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 9858] -> 
  a^2 + a^4 - 3*a^6 + 3*a^8 - a^12 + 3*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 - a^4*z^6 - 
   a^6*z^6, Knot[14, NonAlternating, 9859] -> 2 - 4*a^2 + 4*a^4 - a^8 + 
   2*z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9860] -> 
  2 - 2*a^2 + a^4 + z^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9861] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 3*a^4*z^2 + 
   5*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 6*a^6*z^4 - 10*a^8*z^4 + 
   4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 9862] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 9863] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   10*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 9864] -> 
  1 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 9865] -> 
  2 - a^2 - a^4 + a^6 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 6*a^2*z^4 - 
   5*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9866] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 9867] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 + z^4/a^4 + z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 9868] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 9869] -> 
  3 - 4*a^2 + 2*a^4 + z^2 - 4*a^2*z^2 + a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9870] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 + 
   3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9871] -> 
  2*a^2 - a^4 + 2*a^2*z^2 - 2*a^6*z^2 + a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   4*a^6*z^4 - a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9872] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9873] -> 2*a^2 - 2*a^6 + a^8 + 4*a^4*z^2 - 
   5*a^6*z^2 + a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 9874] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 9875] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - 2*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 9876] -> a^(-2) - a^2 + a^4 - 5*z^2 + z^2/a^4 + 
   3*a^2*z^2 - a^4*z^2 - 8*z^4 + z^4/a^4 + 6*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9877] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 5*a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 9878] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9879] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*z^2 - 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 3*a^2*z^4 + 
   a^4*z^4 - 3*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 9880] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 7*z^2 - (3*z^2)/a^2 - 
   10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9881] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   6*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9882] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 9883] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 5*z^2 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 9884] -> 2 - a^(-2) + a^4 - a^6 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 9885] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 2*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 9886] -> 2 - 2*a^2 + 2*a^6 - a^8 + 
   3*z^2 + z^2/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 
   7*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 9887] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 - a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 9888] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 9889] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 8*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 5*z^4 + 6*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 9890] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 9891] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 
   10*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 10*a^6*z^4 + 
   2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9892] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + 
   a^(-4) - (3*z^2)/a^12 + (16*z^2)/a^10 - (21*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^2)/a^4 + (12*z^4)/a^10 - (23*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 9893] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 9894] -> -a^2 + 4*a^4 - 3*a^8 + a^10 - 
   4*a^2*z^2 + 11*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   9*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 9895] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9896] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 
   3*z^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 9897] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 9898] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 2*z^2 + z^2/a^2 - a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 9899] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 - z^2 + 
   z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 9900] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 9901] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 9902] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 + z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 9903] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 7*z^2 + z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9904] -> a^2 + 2*a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 9905] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 - 
   z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 10*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9906] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9907] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 9908] -> 2*a^2 - a^4 - 2*z^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 9909] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 6*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 9910] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9911] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 9912] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 3*a^2*z^4 - 4*a^4*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9913] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   3*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 9914] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9915] -> 
  a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 - 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 9916] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 - 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9917] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 4*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 9918] -> 2*a^2 - a^4 + a^6 - 2*a^8 + 
   a^10 + 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + 
   a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 9919] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 24*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 9920] -> 1 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9921] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 7*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 9922] -> a^2 + a^8 - a^10 + 2*z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + 2*a^8*z^2 + z^4 - 4*a^2*z^4 - a^6*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 9923] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - 2*a^4*z^2 - 
   a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 9924] -> 3 - 5*a^2 + 4*a^4 - a^6 + 8*z^2 - 
   z^2/a^4 - z^2/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 9925] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 9926] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9927] -> 1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 - a^6*z^2 + 3*a^8*z^2 - 3*a^2*z^4 - 3*a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 9928] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 9929] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 9930] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + 
   a^4 + 9*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 9931] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 6*z^2 - 12*a^2*z^2 + 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 5*z^4 - 15*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   7*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 9932] -> 
  -2*a^2 + 6*a^4 - a^6 - 3*a^8 + a^10 - 4*a^2*z^2 + 11*a^4*z^2 + 3*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 9933] -> 
  2 - 2*a^2 + a^6 + a^8 - a^10 + 4*z^2 - 5*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 5*a^2*z^4 - 5*a^4*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9934] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 9935] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (12*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 9936] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 9937] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 9938] -> 
  -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 2*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 9939] -> 
  a^6 + 3*a^8 - 2*a^10 - 2*a^12 + a^14 + 4*a^6*z^2 + 8*a^8*z^2 - 4*a^12*z^2 + 
   6*a^6*z^4 + 4*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 + 
   2*a^10*z^6 - a^8*z^8, Knot[14, NonAlternating, 9940] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (9*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 9941] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + (13*z^2)/a^2 - z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 9942] -> -3 + a^(-2) + 4*a^2 - a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 9943] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 + z^2/a^4 + 
   z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + z^4/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 9944] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 9945] -> 
  3*a^2 - 7*a^4 + 10*a^6 - 6*a^8 + a^10 + 9*a^2*z^2 - 25*a^4*z^2 + 
   29*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 + 9*a^2*z^4 - 32*a^4*z^4 + 29*a^6*z^4 - 
   7*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 9946] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 8*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 9*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 9947] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 9948] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 9949] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9950] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 9951] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 - z^4/a^6 + (9*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 9952] -> 2 - 3*a^2 + 2*a^4 + a^8 - a^10 + 3*z^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 4*a^2*z^4 - 3*a^6*z^4 + 
   a^4*z^6, Knot[14, NonAlternating, 9953] -> a^(-16) - a^(-14) - a^(-12) - 
   3/a^10 + 5/a^8 + z^2/a^16 - (3*z^2)/a^14 - (5*z^2)/a^12 + (15*z^2)/a^8 - 
   (2*z^4)/a^14 - (3*z^4)/a^12 + (8*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 9954] -> 
  5 - a^(-6) - 3*a^2 + 11*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 
   11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 9955] -> 
  a^(-14) - 2/a^12 - a^(-10) + 4/a^8 - 4/a^6 + 3/a^4 - (3*z^2)/a^12 + 
   (3*z^2)/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - 
   z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9956] -> a^(-16) - 2/a^14 + a^(-12) - 2/a^10 + 
   a^(-8) + 2/a^6 - (2*z^2)/a^14 - (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 9957] -> a^(-12) - a^(-10) - 4/a^8 + 
   5/a^6 + z^2/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^2 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 9958] -> 2/a^16 - 4/a^14 + a^(-12) - 2/a^10 + 
   4/a^8 + z^2/a^16 - (6*z^2)/a^14 - z^2/a^12 + z^2/a^10 + (14*z^2)/a^8 - 
   (2*z^4)/a^14 - z^4/a^12 + (9*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 9959] -> 
  4 - 2/a^6 + 3/a^4 - 2/a^2 - 2*a^2 + 10*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 10*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 9960] -> a^(-12) - 3/a^10 + 3/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9961] -> a^(-16) - a^(-14) - 2/a^12 + 2/a^8 + 
   a^(-6) - (2*z^2)/a^14 - (3*z^2)/a^12 + (2*z^2)/a^10 + (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 9962] -> 
  2 - a^(-8) + a^(-6) - a^2 + 3*z^2 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 9963] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 9964] -> 
  7 - 4/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + 19*z^2 - (10*z^2)/a^2 - a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 20*z^4 - (6*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 8*z^6 - z^6/a^2 + a^2*z^6 + a^4*z^6 + z^8, 
 Knot[14, NonAlternating, 9965] -> 4 - a^(-4) - a^(-2) - a^6 + 9*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^6*z^2 + 7*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 9966] -> a^(-16) - a^(-14) - a^(-12) - 3/a^10 + 
   5/a^8 + z^2/a^16 - (3*z^2)/a^14 - (5*z^2)/a^12 + (15*z^2)/a^8 - 
   (2*z^4)/a^14 - (3*z^4)/a^12 + (8*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 9967] -> 
  5 - a^(-6) - 3*a^2 + 11*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 
   11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 9968] -> 
  a^(-14) - 2/a^12 - a^(-10) + 4/a^8 - 4/a^6 + 3/a^4 - (3*z^2)/a^12 + 
   (3*z^2)/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - 
   z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9969] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 9970] -> 
  2*a^2 - a^4 + z^2/a^2 - a^2*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9971] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 + z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 9972] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 9973] -> 
  -4*a^2 + 10*a^4 - 4*a^6 - a^8 - 9*a^2*z^2 + 24*a^4*z^2 - 5*a^6*z^2 - 
   2*a^8*z^2 - 6*a^2*z^4 + 21*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   8*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 9974] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (4*z^2)/a^12 - (17*z^2)/a^10 + 
   (17*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 - (13*z^4)/a^10 + (15*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 9975] -> -1 + 5*a^2 - 4*a^4 + a^6 + 5*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 9976] -> -3*a^2 + 8*a^4 - 3*a^6 - a^8 - 9*a^2*z^2 + 
   23*a^4*z^2 - 5*a^6*z^2 - 2*a^8*z^2 - 6*a^2*z^4 + 21*a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 8*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 9977] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   9*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 9978] -> 
  2/a^12 - 8/a^10 + 7/a^8 + (3*z^2)/a^12 - (16*z^2)/a^10 + (19*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^4)/a^12 - (12*z^4)/a^10 + (16*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 - (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 9979] -> -1 + 4*a^2 - 2*a^4 - z^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 9980] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4, Knot[14, NonAlternating, 9981] -> 
  -1 + 5*a^4 - 2*a^6 - a^8 - 2*z^2 + 2*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 - z^4 + 3*a^2*z^4 + 5*a^4*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 9982] -> 3*a^2 - 3*a^4 + a^6 + z^2 + a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 9983] -> -5 - a^(-4) + 5/a^2 + a^2 + 
   a^4 - 12*z^2 + z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 10*z^4 + 
   z^4/a^4 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 9984] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   z^2/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 9985] -> 3 - a^(-2) - a^2 + 5*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 9986] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 9987] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - z^4 + 
   2*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 9988] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - 
   z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 9989] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 4*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 9990] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   z^2/a^12 - (8*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 9991] -> 2*a^2 - a^4 + z^2 - a^4*z^2 + a^6*z^2 + 
   z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 9992] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   6*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + 
   z^4/a^4 - a^2*z^4, Knot[14, NonAlternating, 9993] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 2*z^2 + 5*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 
   2*a^2*z^4 + 2*a^4*z^4, Knot[14, NonAlternating, 9994] -> 
  3 + 2/a^6 - 2/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 - (2*z^4)/a^4 - (2*z^4)/a^2, Knot[14, NonAlternating, 9995] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + z^4 - a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 9996] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 6*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   a^4*z^2 - 3*z^4 - (2*z^4)/a^2 - a^2*z^4, Knot[14, NonAlternating, 9997] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4/a^10 + z^4/a^8 - z^4/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 9998] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 9999] -> 4 - 5*a^2 + 3*a^6 - a^8 + 2*z^2 - 
   8*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10000] -> 5*a^4 - 6*a^6 + 2*a^8 + 2*z^2 - 
   4*a^2*z^2 + 9*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   7*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 10001] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - 
   a^2 + z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 10002] -> 
  -4 + 3/a^2 + 3*a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 10003] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 
   a^2*z^4 + 2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 10004] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^8*z^2 - 
   2*z^4 - a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 10005] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   6*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10006] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10007] -> 1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + 3*z^2 - 
   7*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10008] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 2*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 10009] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10010] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 
   3*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 10011] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 10012] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 10013] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   3*a^2*z^2 + 10*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 10014] -> 5*a^4 - 6*a^6 + 2*a^8 - a^2*z^2 + 
   10*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 10*a^6*z^4 + 
   2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 10015] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10016] -> -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 
   9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 10017] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 
   2/a^4 - (2*z^2)/a^12 + (13*z^2)/a^10 - (16*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 10018] -> 3*a^4 - 4*a^6 + 3*a^8 - a^12 + 
   8*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   8*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 10019] -> 1 - 2*a^2 + 3*a^4 - a^8 - a^2*z^2 + 
   4*a^4*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 10020] -> 5 + 2/a^4 - 5/a^2 - a^2 + 13*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10021] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 
   10*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 10022] -> 2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 - z^6/a^2, Knot[14, NonAlternating, 10023] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 10024] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 7*z^2 + z^2/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10025] -> 1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 10026] -> 
  4 - 5*a^2 + a^4 + a^6 + 3*z^2 - 10*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 5*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10027] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10028] -> -1 + a^(-4) - a^2 + 3*a^4 - a^6 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 10029] -> 
  -1 + 2/a^2 - a^2 + a^6 - 5*z^2 + z^2/a^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 - 
   2*z^4 + 3*a^2*z^4 + a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 10030] -> 
  2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 10031] -> 2 - 2*a^2 + a^4 + z^2 + z^2/a^2 - 
   5*a^2*z^2 + a^4*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 10032] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 10033] -> 3 - 3*a^2 + a^6 + z^2 - 4*a^2*z^2 - z^4 + 
   a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 10034] -> 
  a^2 + 3*a^4 - 4*a^6 + a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + a^10*z^2 + 
   a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 10035] -> 4*a^4 - 4*a^6 + a^8 + z^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 10036] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 
   2*a^4*z^2 + 2*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 + 2*a^4*z^4 + 5*a^8*z^4 - 
   a^6*z^6, Knot[14, NonAlternating, 10037] -> -a^(-12) + 2/a^10 - 4/a^6 + 
   4/a^4 + (3*z^2)/a^10 - (6*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10038] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   4*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 + z^4 - 
   z^4/a^8 - z^4/a^6 + (9*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 10039] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 4*z^4 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 10040] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 + 4*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10041] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 - 
   (4*z^2)/a^2 + a^2*z^2 - a^6*z^2 + z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 10042] -> 
  2 - 2*a^2 + a^4 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 10043] -> 2 + a^(-10) - 2/a^8 + 3/a^4 - 3/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^4 - (7*z^2)/a^2 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 10044] -> 
  -1 + a^(-8) - a^(-6) + a^(-2) + a^4 + z^2 - (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10045] -> a^(-2) - a^2 + a^4 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10046] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - a^2*z^4 + 
   4*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 10047] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 8*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 10048] -> 
  -1 + a^(-2) + a^2 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10049] -> -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^6 + 
   z^2/a^4 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10050] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10051] -> -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 6*z^4 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 10052] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10053] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 10054] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10055] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 + 4*z^2 - 
   10*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - a^8*z^2 + 4*z^4 - 12*a^2*z^4 + 
   6*a^4*z^4 + a^6*z^4 + z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10056] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10057] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10058] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - 
   a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - a^2*z^4 - a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 10059] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + z^6 + z^6/a^2, Knot[14, NonAlternating, 10060] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 
   13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 10061] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10062] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   7*z^2 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 10063] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10064] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 
   z^6/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10065] -> -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10066] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 + 
   z^2/a^4 + 2*a^2*z^2 + a^4*z^2 - 4*z^4 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 10067] -> -5 - a^(-4) + 5/a^2 + a^2 + 
   a^4 - 13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10068] -> 5 - a^(-2) - 4*a^2 + a^6 + 
   8*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10069] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - 
   (2*z^2)/a^2 + 7*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 10070] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 - z^4 - 5*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 10071] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + z^4 - 3*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10072] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 10073] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 7*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 10074] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 10*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10075] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10076] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   3*z^2 + z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 10077] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10078] -> 4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 + 
   8*a^2*z^2 - 20*a^4*z^2 + 21*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 20*a^4*z^4 + 16*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 6*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 10079] -> 1 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10080] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 
   5*z^2 + (2*z^2)/a^6 + z^2/a^4 + 3*a^2*z^2 - 5*z^4 - z^4/a^4 - z^4/a^2 + 
   a^2*z^4 - z^6, Knot[14, NonAlternating, 10081] -> 
  2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 10082] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 3*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + z^4 - 7*a^2*z^4 + 6*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 10083] -> -2/a^6 + 4/a^4 - a^(-2) - a^2 + a^4 + 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 10084] -> a^(-4) - 2*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 10085] -> 2 - 3*a^2 + 2*a^4 + a^6 - 
   a^8 + 2*z^2 - 4*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10086] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6, Knot[14, NonAlternating, 10087] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10088] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 10089] -> 2*a^4 - a^6 + a^10 - a^12 + 6*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 6*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 10090] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   6*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 
   8*a^6*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10091] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 
   12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10092] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10093] -> 
  -a^(-10) + a^(-8) + a^(-2) + 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 10094] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 
   6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 10095] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 
   8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 8*z^4 - 
   (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10096] -> 5*a^8 - 5*a^10 + 2*a^12 - a^14 + 
   17*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 19*a^8*z^4 + 
   2*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 10097] -> 3 - a^(-2) - a^2 + z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 10098] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - 
   9*a^2*z^4 + 3*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10099] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 10100] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 10101] -> 
  2*a^6 - a^10 + a^12 - a^14 + 5*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 
   2*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + a^12*z^4 + 
   a^6*z^6 + 2*a^8*z^6, Knot[14, NonAlternating, 10102] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 + 2*a^2*z^4 - 
   6*a^4*z^4 + a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 10103] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 10104] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 10105] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 - 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10106] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 10107] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - 
   5*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 10108] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 10109] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 7*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 10110] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 10111] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 10*z^4 - 
   (4*z^4)/a^2 - 12*a^2*z^4 + 2*a^4*z^4 + 5*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10112] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 2*z^2 - 
   9*a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 + a^8*z^2 + 2*z^4 - 9*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10113] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 10114] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10115] -> 2*a^2 - a^4 - z^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + z^4 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 10116] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^2 - a^2*z^4 + z^6, Knot[14, NonAlternating, 10117] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10118] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10119] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 10120] -> 
  3*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 
   6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10121] -> 4*a^6 - 3*a^8 + a^4*z^2 + 9*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 10122] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   4*z^2 + z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 4*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10123] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10124] -> 1 + 2/a^4 - 3/a^2 + a^2 - 
   z^2 + z^2/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 10125] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10126] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10127] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - 7*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   z^4 - 6*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 10128] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 10*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 10129] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10130] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10131] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - z^4/a^6 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10132] -> -4 + 2/a^2 + 7*a^2 - 7*a^4 + 3*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 23*a^4*z^2 + 8*a^6*z^2 - 13*z^4 + 
   z^4/a^2 + 26*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 - 6*z^6 + 19*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 10133] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 - z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 10134] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 
   2*a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 
   5*z^4 - (4*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 10135] -> 
  6*a^8 - 7*a^10 + 3*a^12 - a^14 + 19*a^8*z^2 - 11*a^10*z^2 + 4*a^12*z^2 - 
   2*a^14*z^2 + 20*a^8*z^4 - 4*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 
   a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 10136] -> 
  2 - a^(-4) + a^(-2) - a^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10137] -> -8 - 2/a^4 + 7/a^2 + 4*a^2 + a^4 - a^6 - 
   18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 10138] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (6*z^2)/a^8 - 
   (11*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (11*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - (3*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 10139] -> 
  3*a^6 - 2*a^8 + a^12 - a^14 + 7*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 
   2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 4*a^8*z^4 + a^12*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 10140] -> 
  2*a^2 - a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10141] -> -1 + a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 10142] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - 
   z^4/a^6 - z^4/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 10143] -> a^4 + 3*a^10 - 4*a^12 + a^14 + 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 9*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + 6*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 10144] -> a^(-2) - a^4 + a^6 + z^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 10145] -> 3 - a^(-2) - a^2 + 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 7*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10146] -> 1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   4*z^4 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10147] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10148] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   z^2 - z^2/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 10149] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 
   10*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 10150] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   3*z^2 + 11*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10151] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   3*z^2 + 9*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 10152] -> 2*a^4 - a^6 + a^10 - a^12 + 
   4*a^4*z^2 + 3*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + 
   2*a^10*z^4 - a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 10153] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 10154] -> 
  a^2 + a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 + 2*a^10*z^2 - a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 10155] -> 1 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^6 + z^4/a^4, Knot[14, NonAlternating, 10156] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 10*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 10157] -> a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 10158] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 8*a^2*z^2 - 18*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^8*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10159] -> -3 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + 
   2*a^2 - 5*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10160] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   7*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 6*z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 10161] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + (3*z^2)/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 10162] -> 
  5 - 2/a^2 - 2*a^2 + 5*z^2 - z^2/a^4 - 2*a^2*z^2 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10163] -> -2/a^6 + 3/a^4 - z^2/a^8 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 - z^4/a^6 + (11*z^4)/a^4 - 
   (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 10164] -> -5 + 3/a^2 + a^2 + 4*a^4 - 2*a^6 - 
   10*z^2 + (4*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^2 + 
   a^4*z^4 - z^6, Knot[14, NonAlternating, 10165] -> 
  -7 - a^(-4) + 6/a^2 + 2*a^2 + a^4 - 16*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 10166] -> 
  5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 10167] -> 
  9 - 4/a^2 - 4*a^2 + 15*z^2 + z^2/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 8*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10168] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   7*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 
   a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10169] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 + 
   z^2/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 2*z^4 - 9*a^2*z^4 + 
   4*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10170] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   9*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 10171] -> 3 - 4*a^2 + a^4 + 2*a^6 - 
   a^8 + 3*z^2 - 9*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10172] -> 5*a^4 - 5*a^6 - a^8 + 3*a^10 - a^12 + 
   9*a^4*z^2 - 10*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 + 3*a^4*z^4 - 8*a^6*z^4 - 
   3*a^8*z^4 + a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 10173] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^2 + 
   a^2*z^4, Knot[14, NonAlternating, 10174] -> 2*a^4 - a^6 + a^8 - a^10 + 
   6*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 10175] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 4*z^2 - 
   11*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 8*a^2*z^4 + 4*a^4*z^4 - 
   2*a^2*z^6, Knot[14, NonAlternating, 10176] -> 
  2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 10177] -> 1 + 3*z^2 + z^2/a^8 - (4*z^2)/a^2 + z^4 - 
   z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 10178] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + z^4/a^2 - 3*a^2*z^4 + 
   5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 10179] -> 
  2 - 3/a^8 + 8/a^6 - 6/a^4 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - 
   (11*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 10180] -> 
  2*a^2 - 2*a^4 + a^6 + a^10 - a^12 + 3*a^2*z^2 - 2*a^4*z^2 + a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 10181] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - z^4 + z^4/a^6 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 10182] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + z^6, Knot[14, NonAlternating, 10183] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   a^8*z^2 + z^4 - 5*a^2*z^4 - a^6*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 10184] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + (2*z^2)/a^10 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 10185] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 10*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + a^6*z^2 + 
   6*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 10186] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2, Knot[14, NonAlternating, 10187] -> 5 - a^(-2) - 4*a^2 + a^6 + 
   9*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - a^2*z^6, Knot[14, NonAlternating, 10188] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 + a^4*z^2 + 2*a^6*z^2 + 12*a^8*z^2 - 
   8*a^10*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 10*a^8*z^4 - a^10*z^4 + a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 10189] -> 
  -a^2 + 5*a^4 - 3*a^6 + z^2 - 4*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 10190] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 10191] -> -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 10192] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 6/a^6 + 5/a^4 + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (12*z^2)/a^6 + (9*z^2)/a^4 + z^4/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 10193] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 10194] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 10195] -> 1 + 2*a^2 - 4*a^4 + a^6 + 2*a^8 - a^10 + 
   3*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 2*a^2*z^4 - 
   a^4*z^4 - 5*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 10196] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 5*z^2 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 10197] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 10198] -> 
  2 - 3*a^2 + 2*a^4 + 2*a^6 - 3*a^8 + a^10 + 3*z^2 - 5*a^2*z^2 + 4*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^8*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 10199] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - 2*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (2*z^4)/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 10200] -> 4*a^4 - 5*a^6 + 2*a^8 + a^10 - a^12 + 
   9*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 
   14*a^6*z^4 + 3*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 10201] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 10202] -> 3*a^2 - 4*a^4 + 2*a^6 + a^8 - a^10 + 
   6*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 10203] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 
   2*a^4 - 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10204] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (12*z^2)/a^10 - (15*z^2)/a^8 + (2*z^2)/a^6 + 
   (7*z^2)/a^4 + (9*z^4)/a^10 - (20*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 10205] -> 2*a^2 - a^4 - a^6 + a^8 + 
   a^10 - a^12 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 + 
   a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 10206] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - 
   z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2, 
 Knot[14, NonAlternating, 10207] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, 
 Knot[14, NonAlternating, 10208] -> a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 + 
   z^2 - (3*z^2)/a^4 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 10209] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-2) + (6*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^4 + (3*z^2)/a^2 + 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 10210] -> 
  a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 10211] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + z^2/a^8 + z^2/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 10212] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 - 
   a^2*z^2 + 9*a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 
   8*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 10213] -> 5 - 2/a^2 - a^2 - 2*a^4 + 
   a^6 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10214] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 
   z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10215] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 
   7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 10216] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   14*z^2 - z^2/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 10217] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^4 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 10218] -> 3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^6*z^2 + 4*z^4 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 10219] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[14, NonAlternating, 10220] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 10221] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + z^2/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 10222] -> 6 - 2/a^2 - 4*a^2 + a^4 + 5*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 - 4*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 10223] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^4 - a^2*z^2 + 4*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 10224] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) - z^2 - z^2/a^6 + (3*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 10225] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 10226] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   4*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 10227] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 10228] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 10229] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 10230] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (5*z^2)/a^12 + (7*z^2)/a^10 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (8*z^4)/a^10 - z^4/a^8 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 10231] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 10232] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 10233] -> 3 - a^(-2) - a^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 10234] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - z^4 + 8*a^2*z^4 - 4*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10235] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^6/a^6, Knot[14, NonAlternating, 10236] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 
   2*a^8 - 2*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - z^4 + 
   8*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 10237] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10238] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10239] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + a^4 + 
   3*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 10240] -> 
  3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + (5*z^2)/a^10 - (15*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - (2*z^6)/a^8, Knot[14, NonAlternating, 10241] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (13*z^2)/a^10 - 
   (12*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (12*z^4)/a^10 - 
   (14*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 10242] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (7*z^4)/a^8 + (12*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 10243] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 + 
   (7*z^4)/a^8 - (10*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 10244] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 10245] -> a^(-16) - 5/a^12 + 2/a^10 + 3/a^8 + 
   z^2/a^16 - (3*z^2)/a^14 - (9*z^2)/a^12 + (8*z^2)/a^10 + (12*z^2)/a^8 - 
   (2*z^4)/a^14 - (4*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10246] -> 1 - a^(-6) - 2/a^4 + 5/a^2 - 2*a^2 + 
   7*z^2 - z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 6*a^2*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 10247] -> 
  a^(-14) - 3/a^12 + 3/a^10 - a^(-8) - 2/a^6 + 3/a^4 - (3*z^2)/a^12 + 
   (7*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (6*z^4)/a^10 - 
   (6*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 10248] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 10249] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - z^2 + 
   a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10250] -> a^(-16) - 2/a^14 + a^(-12) - 3/a^10 + 
   3/a^8 + a^(-6) - (2*z^2)/a^14 - z^2/a^12 - z^2/a^10 + (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 10251] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + 21*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   3*z^4 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 10252] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (4*z^2)/a^12 - (18*z^2)/a^10 + 
   (17*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 - (13*z^4)/a^10 + (15*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 10253] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   8*a^2*z^2 + 20*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 - 6*a^2*z^4 + 20*a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 8*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 10254] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (5*z^2)/a^12 - (17*z^2)/a^10 + (13*z^2)/a^8 + (5*z^2)/a^6 + (4*z^4)/a^12 - 
   (15*z^4)/a^10 + (12*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 10255] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 
   9*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 10256] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 8*a^2*z^2 + 22*a^4*z^2 - 7*a^6*z^2 - a^8*z^2 - 
   6*a^2*z^4 + 20*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 - a^2*z^6 + 8*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 10257] -> 1 - 2*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 10258] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 
   5*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10259] -> -a^2 + 4*a^4 - a^6 - a^8 - 2*z^2 + 
   a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 + 5*a^4*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 10260] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10261] -> -4 + 3/a^2 + a^2 + a^4 - 12*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 10*z^4 + z^4/a^4 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 10262] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (5*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 10263] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^4 + z^4/a^2 + a^4*z^4 - 
   3*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 10264] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 10265] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 - z^2/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10266] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10267] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   z^2/a^12 - (5*z^2)/a^10 + (9*z^2)/a^6 + z^4/a^10 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 + z^6/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 10268] -> -a^4 + 4*a^6 - 2*a^10 - 2*a^4*z^2 + 
   14*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - 3*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - 
   a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 10269] -> a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 - (6*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 10270] -> 3 - a^(-4) - a^4 + 6*z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 10271] -> 2/a^16 - 4/a^14 - 3/a^12 + 
   6/a^10 + z^2/a^16 - (8*z^2)/a^14 - (7*z^2)/a^12 + (23*z^2)/a^10 + 
   (4*z^2)/a^8 - (5*z^4)/a^14 - z^4/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 10272] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 
   4*z^4 + 11*a^2*z^4 + a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10273] -> 1 + 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10274] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + z^2 - 
   z^2/a^4 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 10275] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 + a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 10276] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[14, NonAlternating, 10277] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 + z^4/a^4 + (3*z^4)/a^2, 
 Knot[14, NonAlternating, 10278] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (3*z^2)/a^14 - (7*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 10279] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 5*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - (6*z^4)/a^2 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 10280] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 - z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10281] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + z^2/a^6 - z^2/a^2 + a^2*z^2 - 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 10282] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 5*a^4*z^2 + 22*a^6*z^2 - 9*a^8*z^2 - 4*a^4*z^4 + 
   19*a^6*z^4 - 5*a^8*z^4 - a^4*z^6 + 7*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 10283] -> 7 - 2/a^2 - 5*a^2 + a^6 + 10*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 7*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10284] -> 2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^8 + 
   z^2/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 10285] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 10286] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 10287] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 3*z^2 + 
   8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 10288] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 2*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 10289] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 - z^4/a^4 + a^2*z^4 - z^6, Knot[14, NonAlternating, 10290] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (5*z^2)/a^12 + (10*z^2)/a^10 - 
   (10*z^2)/a^8 + (11*z^2)/a^6 - z^4/a^12 + (9*z^4)/a^10 - (9*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 10291] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (4*z^2)/a^14 - (16*z^2)/a^12 + (28*z^2)/a^10 + (3*z^2)/a^8 - 
   (5*z^4)/a^14 - (5*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 10292] -> 3 - a^(-2) - a^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 10293] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 4*z^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10294] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 10295] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - 
   z^2/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 10296] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - 
   a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 10297] -> 
  2/a^16 - 4/a^14 + 3/a^8 + z^2/a^16 - (6*z^2)/a^14 - (4*z^2)/a^12 + 
   (8*z^2)/a^10 + (11*z^2)/a^8 - (2*z^4)/a^14 - (2*z^4)/a^12 + 
   (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 10298] -> 3 - 2/a^6 + 2/a^4 - 2*a^2 + 
   7*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 10299] -> 
  a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 3/a^4 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 10300] -> -a^(-10) + 2/a^8 - 3/a^4 + 
   3/a^2 + 2*z^2 + (4*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 10301] -> 
  a^2 - a^4 + 2*a^6 - a^10 + 2*a^4*z^2 + 3*a^6*z^2 - z^4 + 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10302] -> a^(-16) - a^(-14) - 3/a^12 + 2/a^10 + 
   a^(-8) + a^(-6) - (2*z^2)/a^14 - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (5*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 10303] -> 
  1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*z^2 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 10304] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10305] -> 3*a^4 - 6*a^6 + 8*a^8 - 4*a^10 + 
   6*a^4*z^2 - 13*a^6*z^2 + 22*a^8*z^2 - 8*a^10*z^2 + 2*a^4*z^4 - 9*a^6*z^4 + 
   19*a^8*z^4 - 5*a^10*z^4 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 10306] -> -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 + 
   (12*z^2)/a^8 - (23*z^2)/a^6 + (14*z^2)/a^4 + (3*z^4)/a^10 + (3*z^4)/a^8 - 
   (25*z^4)/a^6 + (10*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (12*z^6)/a^6 + 
   (2*z^6)/a^4 - z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 10307] -> 
  8 - 4/a^2 - 4*a^2 + 3*a^4 - 2*a^6 + 22*z^2 - (10*z^2)/a^2 - 8*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + 21*z^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + 8*z^6 - z^6/a^2 + a^4*z^6 + z^8, 
 Knot[14, NonAlternating, 10308] -> a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 - 2*a^4*z^4 + 
   2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 10309] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) + z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 10310] -> 
  5 - a^(-4) - a^(-2) - 2*a^2 + a^4 - a^6 + 8*z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 + a^4*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 10311] -> 2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 
   3*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 10312] -> 1 - a^2 + a^4 - a^6 + 3*a^8 - 2*a^10 + 
   z^2 - a^2*z^2 + a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   a^8*z^4, Knot[14, NonAlternating, 10313] -> 5 - 2/a^2 - a^2 - 2*a^4 + 
   a^6 + 7*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   3*z^4 + z^4/a^2 - a^4*z^4, Knot[14, NonAlternating, 10314] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - z^4/a^10 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 10315] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 
   6*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^2 - 
   a^2*z^4, Knot[14, NonAlternating, 10316] -> -2 + 5*a^2 - a^4 - a^6 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 10317] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 4*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10318] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (4*z^2)/a^10 - (21*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + (2*z^4)/a^10 - 
   (20*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 10319] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   9*a^4*z^2 + 29*a^6*z^2 - 10*a^8*z^2 - a^10*z^2 - 12*a^4*z^4 + 39*a^6*z^4 - 
   12*a^8*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 10320] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (4*z^2)/a^14 - 
   (18*z^2)/a^12 + (34*z^2)/a^10 - (4*z^4)/a^14 - (14*z^4)/a^12 + 
   (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 10321] -> 
  -4/a^8 + 6/a^6 - a^(-4) + z^2/a^10 - (13*z^2)/a^8 + (26*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4/a^10 - (15*z^4)/a^8 + (36*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 10322] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10323] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (18*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 10324] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + z^4/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 10325] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10326] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 13*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10327] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 10328] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (18*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 10329] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10330] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 10331] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + (7*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 10332] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10333] -> -3 + 7*a^2 - 2*a^4 - a^6 - 
   6*z^2 + 15*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - 3*z^4 + 11*a^2*z^4 - a^6*z^4 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 10334] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10335] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 10336] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 
   2*a^4 - 5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 10337] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 
   2*a^8 - 4*z^2 + 21*a^2*z^2 - 30*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   24*a^2*z^4 - 40*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 10338] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 19*z^2 - 
   z^2/a^6 - z^2/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10339] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10340] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (7*z^2)/a^12 + (22*z^2)/a^10 - (27*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^4)/a^12 + (24*z^4)/a^10 - (39*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 10341] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10342] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10343] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10344] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 + (4*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 10345] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 10346] -> 
  -3 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 7*z^2 + (2*z^2)/a^6 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^4 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 10347] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 10348] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 
   6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 10349] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 10350] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 
   4*a^2*z^2 + 8*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 10351] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 + 
   6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 10352] -> a^(-16) - 2/a^14 - 2/a^12 + 
   2/a^10 + 2/a^8 - (3*z^2)/a^14 - (5*z^2)/a^12 + (9*z^2)/a^10 + 
   (11*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10353] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 10354] -> 2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10355] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 
   2/a^4 - (4*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + 
   (7*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 10356] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10357] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 10358] -> -a^(-2) + 5*a^2 - 3*a^4 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10359] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 10360] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   7*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10361] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 
   2*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10362] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (13*z^2)/a^8 + (22*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - (9*z^4)/a^8 + (23*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (11*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 10363] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 10364] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - (4*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 + z^6 + (3*z^6)/a^2, Knot[14, NonAlternating, 10365] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10366] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 + 
   (7*z^4)/a^8 - (10*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 10367] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 10368] -> a^(-16) - 5/a^12 + 2/a^10 + 3/a^8 + 
   z^2/a^16 - (3*z^2)/a^14 - (9*z^2)/a^12 + (8*z^2)/a^10 + (12*z^2)/a^8 - 
   (2*z^4)/a^14 - (4*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10369] -> 1 - a^(-6) - 2/a^4 + 5/a^2 - 2*a^2 + 
   7*z^2 - z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 6*a^2*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 10370] -> 
  a^(-14) - 3/a^12 + 3/a^10 - a^(-8) - 2/a^6 + 3/a^4 - (3*z^2)/a^12 + 
   (7*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (6*z^4)/a^10 - 
   (6*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 10371] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10372] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + 
   a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 10373] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10374] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 9*z^4 + z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 10375] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 10376] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10377] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 10378] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 10379] -> 4 - 2/a^2 - a^4 + z^2 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 18*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 10380] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   6*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 10381] -> -3*a^4 + 12*a^6 - 10*a^8 + 2*a^10 - 
   9*a^4*z^2 + 32*a^6*z^2 - 17*a^8*z^2 + a^10*z^2 - 8*a^4*z^4 + 31*a^6*z^4 - 
   10*a^8*z^4 - 2*a^4*z^6 + 13*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 10382] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   7*z^2 + 22*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   21*a^2*z^4 - 18*a^4*z^4 + 5*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 10383] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 21*z^2 + (6*z^2)/a^2 + 25*a^2*z^2 - 
   7*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 10384] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 10385] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 7*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 + (5*z^4)/a^6 - (18*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 10386] -> 2/a^10 - 10/a^8 + 12/a^6 - 
   3/a^4 + z^2/a^10 - (17*z^2)/a^8 + (32*z^2)/a^6 - (9*z^2)/a^4 - 
   (10*z^4)/a^8 + (31*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 + (13*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 10387] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - 
   (21*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (22*z^4)/a^8 + 
   (13*z^4)/a^6 + (3*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 10388] -> -a^(-16) + 6/a^14 - 13/a^12 + 8/a^10 + 
   a^(-8) + (6*z^2)/a^14 - (29*z^2)/a^12 + (29*z^2)/a^10 + (5*z^2)/a^8 + 
   z^4/a^14 - (20*z^4)/a^12 + (36*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10389] -> 4 - a^(-4) - 2*a^2 + z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 - 4*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (18*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 10390] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 10391] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + 
   z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10392] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 3*z^4 + 13*a^2*z^4 - 5*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10393] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 7*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 10394] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10395] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 + (5*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 10396] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 - z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 10397] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   (6*z^4)/a^8 + (24*z^4)/a^6 - (26*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 10398] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 10399] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 5*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   a^4*z^4 - z^6, Knot[14, NonAlternating, 10400] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 - 8*a^2*z^2 + 3*a^4*z^2 + 6*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 10401] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + (6*z^4)/a^6 - (25*z^4)/a^4 + 
   (25*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 10402] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) - z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^2 - 
   z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 10403] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (19*z^2)/a^8 + (23*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (23*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 10404] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 + 
   (6*z^4)/a^10 - (22*z^4)/a^8 + (23*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^10 - 
   (12*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 10405] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 6*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 10406] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 3*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 10407] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 - a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 6*a^2*z^4 - 
   4*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10408] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   2*z^2 + 3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 10409] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 2*z^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 10410] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 
   2*a^4 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 10411] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 9*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 10412] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 5*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 10413] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 10414] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 10415] -> a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 
   2*a^12 + 17*a^6*z^2 - 23*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 
   24*a^6*z^4 - 27*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 10416] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 10417] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + (2*z^4)/a^2, Knot[14, NonAlternating, 10418] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 10419] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - 
   a^12 - a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 10420] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 + 
   3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10421] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   6*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 - 5*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 10422] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10423] -> 1 - 2*z^2 + z^2/a^2 + 2*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 5*z^6 + z^6/a^2 - 
   z^8, Knot[14, NonAlternating, 10424] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - 2*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10425] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^2 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 10426] -> 
  1 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10427] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 10428] -> 
  1 - a^4 + 2*a^6 - a^8 - z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + 3*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 10429] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 10430] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4 + 4*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 10431] -> 2 - a^(-2) + a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10432] -> 3*a^4 - 2*a^6 + a^4*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 16*a^6*z^4 - 6*a^8*z^4 + 
   4*a^2*z^6 - 12*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 10433] -> 
  -1 + a^(-2) + a^2 + z^2 - z^2/a^4 - a^4*z^2 + 6*z^4 - z^4/a^2 - a^2*z^4 + 
   4*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 10434] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 - z^2/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 10435] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + z^6/a^4, 
 Knot[14, NonAlternating, 10436] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + 
   3*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10437] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - 
   z^2 + 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 10438] -> 
  1 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 10439] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   (6*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10440] -> 1 - a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 19*a^4*z^4 + 
   6*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 10441] -> 
  a^(-2) - a^2 + a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   9*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 10442] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 
   z^2 + a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 10443] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   10*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 10444] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 2*a^4*z^2 + 11*a^6*z^2 - 
   19*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 5*a^4*z^4 + 20*a^6*z^4 - 
   25*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 17*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - 
   a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 10445] -> -1 + a^(-2) + a^2 - 6*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 10446] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10447] -> 2 - a^(-2) + a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10448] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 9*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 10449] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   7*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 10450] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   15*z^2 + z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10451] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10452] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 10453] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - z^2 + 7*a^2*z^2 - 14*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10454] -> -2 + 6*a^2 - 3*a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10455] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, Knot[14, NonAlternating, 10456] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 10457] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 10458] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   4*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 5*a^6*z^4 - 
   11*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 10459] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 10460] -> a^2 + a^6 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 10461] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 10462] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 10463] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10464] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 10465] -> 
  2*a^4 - a^8 + a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10466] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   25*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10467] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 
   12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10468] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 10469] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10470] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   6*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 
   8*a^6*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10471] -> 3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   10*a^6*z^2 - 9*a^8*z^2 + 15*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 
   10*a^6*z^4 - 12*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   8*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 10472] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 10473] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 
   2*a^2 + 2*a^4 - z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 
   3*a^4*z^2 + 2*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 10474] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 6*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 - (4*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10475] -> 2 - a^(-6) + a^(-4) - a^2 + 6*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 3*a^2*z^2 + 7*z^4 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 10476] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^4 - 3*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 10477] -> a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 + 
   7*a^8*z^2 - 3*a^10*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 10478] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10479] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + 3*a^2*z^2 - 5*z^4 - z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4, Knot[14, NonAlternating, 10480] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 10481] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10482] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10483] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10484] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 
   4*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10485] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 10486] -> -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 10487] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + (8*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^8 + z^4/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 10488] -> 1 + z^2 - z^2/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10489] -> 
  1 - 2*z^2 + 5*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + a^8*z^2 - 4*z^4 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10490] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   15*z^2 - z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10491] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - z^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - z^4 + 7*a^2*z^4 - 
   15*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10492] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 10493] -> 2*a^4 - 2*a^8 + 2*a^10 - 
   a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   3*a^4*z^4 + 13*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 8*a^6*z^6 - 
   5*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 10494] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + 
   (18*z^2)/a^2 - 5*z^4 - (2*z^4)/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + 
   (22*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 10495] -> 
  3*a^4 - 4*a^6 + 3*a^8 - a^12 + 9*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 
   3*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 14*a^6*z^4 + 3*a^8*z^4 + 2*a^10*z^4 + 
   a^4*z^6 - 7*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 10496] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 10497] -> a^2 + a^10 - a^12 + 3*a^2*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 10498] -> 
  a^(-6) - a^(-4) + a^2 - 2*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10499] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 10500] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 10501] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 10502] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 4*z^4 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 10503] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 10504] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 10505] -> 
  1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 10506] -> -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 10507] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 10508] -> 1 + a^2 - 3*a^4 + 3*a^6 - 
   a^8 - 2*z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10509] -> -2 + a^(-4) + 2*a^2 - 4*z^2 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 10510] -> 3 - 4*a^2 + 4*a^6 - 2*a^8 + 4*z^2 - 
   9*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 6*a^2*z^4 + a^6*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 10511] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - 
   a^8 - z^2 + 7*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - 3*z^4 + 8*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10512] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   12*z^2 + (7*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 10513] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 - 
   z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10514] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10515] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^2 + 
   z^6 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 10516] -> 
  1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10517] -> 2 - a^(-2) + a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10518] -> 5*a^8 - 5*a^10 + 2*a^12 - a^14 + 
   3*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 
   10*a^8*z^4 - a^10*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 10519] -> 2*a^6 - a^10 + a^12 - a^14 + a^4*z^2 + 
   6*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^12*z^2 + a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4, Knot[14, NonAlternating, 10520] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (11*z^2)/a^10 - 
   (27*z^2)/a^8 + (26*z^2)/a^6 - (4*z^2)/a^4 + (7*z^4)/a^10 - (31*z^4)/a^8 + 
   (36*z^4)/a^6 - (10*z^4)/a^4 + z^6/a^10 - (14*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 10521] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10522] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10523] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) + (5*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 10524] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 10525] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 6*z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 10526] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + (2*z^2)/a^16 - (13*z^2)/a^14 - (2*z^2)/a^12 + (27*z^2)/a^10 + 
   z^4/a^16 - (18*z^4)/a^14 + (16*z^4)/a^12 + (42*z^4)/a^10 - (8*z^6)/a^14 + 
   (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 10527] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   9*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 10528] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + (4*z^4)/a^8 - (8*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 10529] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (24*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 10530] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (6*z^2)/a^10 - 
   (11*z^2)/a^8 + (13*z^2)/a^6 + (3*z^4)/a^10 - (10*z^4)/a^8 + (12*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10531] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 10532] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 - (6*z^4)/a^14 + (5*z^4)/a^12 + 
   (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10533] -> 1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 10534] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 10535] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 10536] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 10537] -> -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + z^4/a^4 + 6*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10538] -> 2*a^6 + a^8 - 2*a^10 - 2*a^4*z^2 + 
   9*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 + 9*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 10539] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 
   2*a^8 - 2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   7*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 10540] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10541] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10542] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + z^2/a^14 - (11*z^2)/a^12 + 
   (23*z^2)/a^10 - (20*z^2)/a^8 + (14*z^2)/a^6 - (7*z^4)/a^12 + 
   (30*z^4)/a^10 - (31*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 10543] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10544] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10545] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 
   2/a^6 + a^(-4) - (5*z^2)/a^12 + (11*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (9*z^4)/a^10 - (5*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 10546] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 10547] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 6*z^2 + z^2/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - z^4/a^4 + 
   (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 10548] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + (3*z^2)/a^16 - (21*z^2)/a^14 + 
   (11*z^2)/a^12 + (22*z^2)/a^10 + z^4/a^16 - (21*z^4)/a^14 + (25*z^4)/a^12 + 
   (40*z^4)/a^10 - (8*z^6)/a^14 + (22*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 10549] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 24*z^2 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 12*a^2*z^2 + 26*z^4 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 + 12*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   2*z^8 + z^8/a^2, Knot[14, NonAlternating, 10550] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (7*z^2)/a^8 - (17*z^2)/a^6 + (11*z^2)/a^4 + 
   (5*z^4)/a^8 - (17*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 10551] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (8*z^2)/a^14 - 
   (5*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 - (6*z^4)/a^14 + (4*z^4)/a^12 + 
   (27*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10552] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 6*z^2 - 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 10553] -> a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10554] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + 
   a^(-8) + z^2/a^16 - (11*z^2)/a^14 + (3*z^2)/a^12 + (15*z^2)/a^10 + 
   (6*z^2)/a^8 - (6*z^4)/a^14 + (7*z^4)/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 10555] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 10*z^2 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 8*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 10556] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (2*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10557] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + (2*z^4)/a^12 + (11*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 10558] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 10559] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 10560] -> a^(-14) - 6/a^12 + 7/a^10 - 3/a^8 + 
   2/a^6 + z^2/a^14 - (14*z^2)/a^12 + (28*z^2)/a^10 - (15*z^2)/a^8 + 
   (11*z^2)/a^6 - (8*z^4)/a^12 + (34*z^4)/a^10 - (27*z^4)/a^8 + 
   (15*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 10561] -> a^(-14) - 5/a^12 + 5/a^10 - 2/a^8 + 
   2/a^6 - (6*z^2)/a^12 + (12*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 10562] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 10563] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 
   2*a^2 - 7*z^2 + z^2/a^8 - (6*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10564] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 19*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 10565] -> 4*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + z^2/a^2 + 
   19*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 
   14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 10566] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (20*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (28*z^4)/a^6 - (9*z^4)/a^4 - (9*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 10567] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 10568] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (9*z^2)/a^14 + 
   (3*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 - (6*z^4)/a^14 + (7*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10569] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   13*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 10570] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 5*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (9*z^2)/a^4 - (11*z^2)/a^2 + 4*z^4 + z^4/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + z^6 - z^6/a^6 + z^6/a^4 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10571] -> 1 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - 5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 10572] -> -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 10573] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (15*z^4)/a^6 - (35*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 10574] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (12*z^2)/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^12 + (13*z^4)/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 10575] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 
   2*a^8 - 4*z^2 + 10*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   12*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^6*z^6 + a^2*z^8, Knot[14, NonAlternating, 10576] -> 
  a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 3/a^8 - (4*z^2)/a^14 + 
   (5*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 10577] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 10578] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 - z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 10579] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10580] -> 2*a^2 - a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 10581] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 10582] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[14, NonAlternating, 10583] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - z^2 - z^2/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 10584] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (14*z^2)/a^6 - (25*z^2)/a^4 + 
   (12*z^2)/a^2 + (14*z^4)/a^6 - (37*z^4)/a^4 + (13*z^4)/a^2 + (6*z^6)/a^6 - 
   (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 10585] -> -2*a^4 + 8*a^6 - 5*a^8 - 9*a^4*z^2 + 
   30*a^6*z^2 - 13*a^8*z^2 - 12*a^4*z^4 + 39*a^6*z^4 - 13*a^8*z^4 - 
   6*a^4*z^6 + 25*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 10586] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - (4*z^2)/a^14 - (22*z^2)/a^12 + 
   (36*z^2)/a^10 + z^4/a^16 - (6*z^4)/a^14 - (17*z^4)/a^12 + (54*z^4)/a^10 - 
   (2*z^6)/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 10587] -> 5*a^8 - 4*a^10 - 2*a^6*z^2 + 24*a^8*z^2 - 
   12*a^10*z^2 - 7*a^6*z^4 + 37*a^8*z^4 - 13*a^10*z^4 - 5*a^6*z^6 + 
   25*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^8*z^10, 
 Knot[14, NonAlternating, 10588] -> a^(-8) - 4/a^6 + 4/a^4 + (8*z^2)/a^8 - 
   (18*z^2)/a^6 + (12*z^2)/a^4 + (12*z^4)/a^8 - (32*z^4)/a^6 + (13*z^4)/a^4 + 
   (6*z^6)/a^8 - (24*z^6)/a^6 + (6*z^6)/a^4 + z^8/a^8 - (8*z^8)/a^6 + 
   z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 10589] -> 
  7 - 4/a^2 - 2*a^4 + 27*z^2 - (14*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   42*z^4 - (16*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 29*z^6 - (7*z^6)/a^2 - 
   a^2*z^6 - a^4*z^6 + 9*z^8 - z^8/a^2 + z^10, 
 Knot[14, NonAlternating, 10590] -> -a^4 + 4*a^6 - 2*a^10 - 2*a^4*z^2 + 
   10*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 + 9*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 10591] -> 
  -a^(-4) + 2/a^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^8 - (8*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - 
   (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 10592] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 9*z^2 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - a^4*z^4 + 6*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 10593] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 
   4/a^2 - z^2/a^10 + (9*z^2)/a^8 - (7*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 + (6*z^4)/a^8 - (11*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 10594] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 - 
   z^2/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + 
   (7*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 10595] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 
   3*a^4*z^2 - 5*a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + a^4*z^4 - 4*a^6*z^4 + 
   18*a^8*z^4 - 5*a^10*z^4 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 10596] -> 2*a^6 + a^8 - 2*a^10 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 10597] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10598] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10599] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10600] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10601] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10602] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10603] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + z^2/a^10 - (8*z^2)/a^8 + (23*z^2)/a^6 - 
   (27*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - 
   (31*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 10604] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 24*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (25*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 + z^4/a^6 - 
   (15*z^4)/a^4 + (35*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10605] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 10606] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 10607] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (26*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - z^4/a^8 + (15*z^4)/a^6 - 
   (36*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 10608] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10609] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10610] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 38*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 8*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 10611] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10612] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10613] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (27*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (14*z^4)/a^6 - (37*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 10614] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 17*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + 
   (31*z^2)/a^2 + 3*a^2*z^2 - 23*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (40*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10615] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10616] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (10*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 10617] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 + 2*z^2 + (11*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + 3*z^4 + 
   (8*z^4)/a^6 - (23*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (11*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 10618] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 - 4*a^4*z^2 + 23*a^6*z^2 - 10*a^8*z^2 - 
   3*a^2*z^4 + 23*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 10619] -> 
  a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - (3*z^2)/a^14 - (17*z^2)/a^12 + 
   (27*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^14 - (9*z^4)/a^12 + 
   (31*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 10620] -> 
  a^(-12) - 6/a^10 + 6/a^8 + z^2/a^12 - (11*z^2)/a^10 + (19*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^10 + (16*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 10621] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   23*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (34*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (18*z^4)/a^4 + (42*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10622] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   4*z^2 + 22*a^2*z^2 - 34*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   25*a^2*z^4 - 43*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 10623] -> -2*a^4 + 8*a^6 - 5*a^8 - 7*a^4*z^2 + 
   24*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 - 7*a^4*z^4 + 24*a^6*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 10624] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 + z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + 
   (3*z^4)/a^8 + z^4/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^8 - 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 10625] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   8*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 10626] -> 
  -6 + a^(-4) + 2/a^2 + 4*a^2 - 16*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10627] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 13*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 10628] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 10629] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 10630] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 
   4*a^2 - a^4 - 10*z^2 - z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 10631] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 10632] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10633] -> -2*a^4 + 8*a^6 - 5*a^8 - 7*a^4*z^2 + 
   24*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 - 7*a^4*z^4 + 24*a^6*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 10634] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 + z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + 
   (3*z^4)/a^8 + z^4/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^8 - 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 10635] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   8*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 10636] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 5*z^2 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 10637] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   4*a^2*z^2 + 8*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 10638] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (4*z^2)/a^14 - 
   (7*z^2)/a^12 + (10*z^2)/a^10 + (11*z^2)/a^8 - (2*z^4)/a^14 - 
   (3*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 10639] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 10640] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10641] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10642] -> 2/a^8 - 6/a^6 + 5/a^4 + z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (15*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - 
   (5*z^4)/a^6 + (13*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 10643] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 9*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 10644] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 10645] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 10646] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 10647] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (13*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + (5*z^4)/a^8 - (12*z^4)/a^6 + 
   (9*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 10648] -> 4 - 2/a^2 - a^4 + 9*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 10649] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 7*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - 
   (37*z^2)/a^4 + (29*z^2)/a^2 - 5*z^4 - z^4/a^8 + (18*z^4)/a^6 - 
   (44*z^4)/a^4 + (30*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (26*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 10650] -> a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 
   6/a^6 + z^2/a^14 - (10*z^2)/a^12 + (29*z^2)/a^10 - (35*z^2)/a^8 + 
   (21*z^2)/a^6 - (4*z^4)/a^12 + (28*z^4)/a^10 - (45*z^4)/a^8 + 
   (21*z^4)/a^6 + (10*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 10651] -> 
  -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 7*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (21*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (19*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 10652] -> 
  a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 4/a^6 + z^2/a^14 - (10*z^2)/a^12 + 
   (22*z^2)/a^10 - (19*z^2)/a^8 + (14*z^2)/a^6 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 - (20*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 10653] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 10654] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 + 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 10655] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 4/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (14*z^2)/a^10 - (13*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + (8*z^4)/a^10 - 
   (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 10656] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 + 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 10657] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - (4*z^2)/a^12 + (11*z^2)/a^10 - 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 10658] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   12*z^2 + z^2/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 10659] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 2*z^2 + 15*a^2*z^2 - 28*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - z^4 + 12*a^2*z^4 - 28*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 10660] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   24*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 10661] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 23*z^2 + (3*z^2)/a^6 - 
   (18*z^2)/a^4 + (34*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (42*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10662] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   4*z^2 + 22*a^2*z^2 - 34*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   25*a^2*z^4 - 43*a^4*z^4 + 18*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 10663] -> a^(-14) - 7/a^12 + 11/a^10 - 8/a^8 + 
   4/a^6 + z^2/a^14 - (15*z^2)/a^12 + (36*z^2)/a^10 - (28*z^2)/a^8 + 
   (16*z^2)/a^6 - (8*z^4)/a^12 + (37*z^4)/a^10 - (36*z^4)/a^8 + 
   (17*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - (24*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 10664] -> a^(-14) - 6/a^12 + 9/a^10 - 7/a^8 + 
   4/a^6 - (6*z^2)/a^12 + (15*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 10665] -> 
  -2 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 + a^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 10666] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 13*z^2 + z^2/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10667] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 5*z^2 + 
   22*a^2*z^2 - 25*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 16*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 10668] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 16*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (27*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 10669] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 16*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (27*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 10670] -> 
  -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + a^(-4) - z^2/a^12 + (10*z^2)/a^10 - 
   (27*z^2)/a^8 + (24*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (25*z^4)/a^6 - (6*z^4)/a^4 - (5*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 10671] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (25*z^2)/a^4 + (22*z^2)/a^2 - 2*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (25*z^4)/a^4 + (16*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 10672] -> 
  -4 + 3/a^6 - 11/a^4 + 13/a^2 - 8*z^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (37*z^2)/a^4 + (33*z^2)/a^2 - 5*z^4 - z^4/a^8 + (17*z^4)/a^6 - 
   (44*z^4)/a^4 + (31*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (26*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 10673] -> -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 + 
   z^2/a^14 - (7*z^2)/a^12 + (25*z^2)/a^10 - (40*z^2)/a^8 + (23*z^2)/a^6 - 
   (4*z^4)/a^12 + (26*z^4)/a^10 - (47*z^4)/a^8 + (21*z^4)/a^6 + 
   (10*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 10674] -> 
  -4 + 13*a^2 - 11*a^4 + 3*a^6 - 8*z^2 + 33*a^2*z^2 - 37*a^4*z^2 + 
   16*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 31*a^2*z^4 - 44*a^4*z^4 + 17*a^6*z^4 - 
   a^8*z^4 - z^6 + 13*a^2*z^6 - 26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 10675] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 23*z^2 + (3*z^2)/a^6 - (23*z^2)/a^4 + 
   (43*z^2)/a^2 + 4*a^2*z^2 - 26*z^4 + z^4/a^6 - (19*z^4)/a^4 + 
   (48*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + (27*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10676] -> -4 + 11*a^2 - 7*a^4 + a^6 - 8*z^2 + 
   26*a^2*z^2 - 21*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 22*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 10677] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (10*z^2)/a^10 - 
   (34*z^2)/a^8 + (40*z^2)/a^6 - (11*z^2)/a^4 + (4*z^4)/a^10 - (29*z^4)/a^8 + 
   (50*z^4)/a^6 - (15*z^4)/a^4 - (10*z^6)/a^8 + (30*z^6)/a^6 - (7*z^6)/a^4 - 
   z^8/a^8 + (9*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 10678] -> -2 + 2/a^6 - 9/a^4 + 11/a^2 - a^2 - 
   12*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (31*z^2)/a^2 + a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 10679] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 8*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (21*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (19*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 10680] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 23*z^2 + (4*z^2)/a^2 + 43*a^2*z^2 - 
   23*a^4*z^2 + 3*a^6*z^2 - 26*z^4 + (4*z^4)/a^2 + 48*a^2*z^4 - 19*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + z^6/a^2 + 27*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 10681] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + z^2/a^14 - (7*z^2)/a^12 + 
   (18*z^2)/a^10 - (24*z^2)/a^8 + (16*z^2)/a^6 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 - (22*z^4)/a^8 + (12*z^4)/a^6 + (5*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 10682] -> -2 + 2/a^6 - 9/a^4 + 11/a^2 - a^2 - 
   12*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (31*z^2)/a^2 + a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 10683] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 - z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 10684] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 13*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10685] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   3*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10686] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 10687] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + z^4/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10688] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10689] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   7*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 10690] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10691] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 + 
   z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10692] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   6*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 10693] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 5*z^2 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 10694] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   3*z^2 + (5*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 10695] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 10696] -> -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + 
   a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 10697] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 8*z^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 10698] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 10699] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   7*a^2*z^2 - 16*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 16*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   6*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 10700] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10701] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 
   2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10702] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   5*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 10703] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 10704] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10705] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 
   10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   5*z^4 + 9*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 10706] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   7*a^2*z^2 - 16*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 16*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   6*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 10707] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10708] -> a^4 + a^8 - a^12 + 5*a^4*z^2 - 
   4*a^6*z^2 + 8*a^8*z^2 - a^12*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + 7*a^8*z^4 + 
   a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 10709] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 
   z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 10710] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 14*a^4*z^2 + 
   15*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   11*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 10711] -> -1 + a^(-2) + a^2 - a^4 + 
   2*a^6 - a^8 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10712] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 
   2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - 
   a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10713] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - 
   z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10714] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 2*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10715] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - 
   a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 - z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 10716] -> 1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 10717] -> a^4 - a^8 + 5*a^10 - 5*a^12 + 
   a^14 + 4*a^4*z^2 - a^8*z^2 + 12*a^10*z^2 - 6*a^12*z^2 + 4*a^4*z^4 - 
   3*a^6*z^4 - 3*a^8*z^4 + 10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - 
   4*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 10718] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10719] -> -4 - 3/a^4 + 7/a^2 + a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (6*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10720] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10721] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + 
   7*a^2*z^2 - 16*a^4*z^2 + 20*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 19*a^4*z^4 + 16*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 6*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 10722] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 10723] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 10724] -> 
  1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10725] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^2 - 
   2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10726] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 10727] -> 
  -5 + 3/a^2 + 3*a^2 - 13*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10728] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 10729] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10730] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   6*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10731] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 
   6*z^2 - z^2/a^4 + z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 13*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 10732] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10733] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 10734] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 4*a^2*z^2 - 13*a^4*z^2 + 23*a^6*z^2 - 
   11*a^8*z^2 + a^10*z^2 + 7*a^2*z^4 - 23*a^4*z^4 + 27*a^6*z^4 - 7*a^8*z^4 + 
   5*a^2*z^6 - 18*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 10735] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 5*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 10736] -> 
  a^(-2) - a^4 + a^6 - 2*z^2 + z^2/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10737] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10738] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 10739] -> -7 + 4/a^2 + 4*a^2 - 15*z^2 - z^2/a^6 - 
   z^2/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - z^4/a^6 - z^4/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10740] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   15*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 10741] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10742] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 15*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - z^4/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 10743] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 
   8*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 10744] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 
   13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10745] -> 2*a^4 - 3*a^6 + 4*a^8 - a^10 - a^12 + 
   7*a^4*z^2 - 8*a^6*z^2 + 9*a^8*z^2 + a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   11*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 10746] -> -2/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10747] -> -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10748] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   4*z^2 + 11*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 10749] -> 
  1 - z^2 + z^2/a^2 - a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 10750] -> 1 + a^(-4) - a^(-2) + a^2 - 
   3*a^4 + 2*a^6 + 3*z^2 - (4*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 10751] -> a^2 - a^4 + a^6 + a^8 - a^12 + 
   3*a^2*z^2 - a^4*z^2 + 4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 10752] -> -a^(-8) + 2/a^4 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 10753] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10754] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   6*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 10755] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 + 9*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 
   a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10756] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 10757] -> 1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - 
   a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10758] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 10759] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10760] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 14*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 10761] -> 
  1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - 2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 22*a^4*z^4 + 6*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 10762] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 + (2*z^2)/a^6 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10763] -> 
  -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 9*z^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   2*z^4 - z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 10764] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 4*z^2 - 9*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   z^4 - 7*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 10765] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   8*z^2 - z^2/a^4 + (6*z^2)/a^2 + a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10766] -> 3 - 3*a^2 + a^6 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 10767] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10768] -> 
  2 + a^(-4) - 2/a^2 - 2*z^2 + a^2*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10769] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 10770] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 10771] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 10772] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 10773] -> 
  1 - a^(-2) + 2*a^2 - a^6 - z^2 + 6*a^2*z^2 - a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10774] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 
   2*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10775] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   9*z^2 + z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10776] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10777] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 10778] -> -a^(-4) + 2/a^2 - 2*z^2 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 10779] -> 2*a^2 - 2*a^4 + a^6 + a^8 - 
   a^10 + 2*a^2*z^2 - a^4*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 10780] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 10781] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   4*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 4*a^6*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 10782] -> a^(-2) - a^2 + a^4 + z^2 - z^2/a^6 + 
   z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^4 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 10783] -> 1 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 
   a^10*z^2 - 3*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 10784] -> -2 + 2/a^2 + a^4 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 10785] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 
   2*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^2 + z^8, 
 Knot[14, NonAlternating, 10786] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   4*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 10787] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 10788] -> -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 
   9*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   5*z^4 + 8*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 10789] -> 1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + 7*a^2*z^4 - 4*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 10790] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 10791] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + 
   a^2 + a^4 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10792] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   6*z^2 + z^2/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10793] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10794] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 10795] -> 1 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10796] -> 2*a^2 - a^6 - a^8 + a^10 + 3*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 10797] -> 1 + a^4 - a^6 - a^8 + a^10 + 
   z^2 - a^2*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 10798] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 10799] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^2 - a^2*z^4 + 3*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 10800] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   5*a^2*z^2 - a^6*z^2 - 7*z^4 + (5*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - a^2*z^6, Knot[14, NonAlternating, 10801] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 10802] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - z^4 + z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 10803] -> 
  -8 + 4/a^2 + 6*a^2 - a^4 - 13*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 10804] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 10805] -> 2 + a^2 - 6*a^4 + 5*a^6 - 
   a^8 - z^2 + 5*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   8*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 + a^2*z^8, Knot[14, NonAlternating, 10806] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 10807] -> 1 + a^(-2) - 2*a^2 + a^6 + 2*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 10808] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   6*z^2 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 10809] -> 3 - 3*a^2 - 2*a^4 + 5*a^6 - 2*a^8 + 
   4*z^2 - 8*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + z^4 - 6*a^2*z^4 - 
   2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10810] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10811] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   z^4 - z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 10812] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   10*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (5*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 10813] -> 
  1 + a^2 - a^4 - a^6 + a^8 - 2*z^2 + 5*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 4*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 10814] -> a^2 + 2*a^4 - 2*a^6 - a^8 + 
   a^10 + 5*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   7*a^4*z^4 - 5*a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 10815] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 7*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10816] -> 2 - 3*a^4 + 2*a^6 + 2*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 10817] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 
   2*a^2*z^2 + 5*a^4*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 10818] -> 1 + a^6 - 2*a^8 + a^10 - z^2 + 
   2*a^4*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 3*a^4*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 10819] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 10820] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 10821] -> 
  3*a^4 - 2*a^6 - z^2/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 10822] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 10823] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10824] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 10825] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 10826] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10827] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + 
   a^(-4) + z^2/a^12 - (10*z^2)/a^10 + (17*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^4)/a^10 + (15*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 10828] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 
   8*z^2 - z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 10829] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6, Knot[14, NonAlternating, 10830] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 10831] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 10832] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 10833] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10834] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10835] -> 3 - a^(-2) - a^2 + 2*z^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 10836] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 10837] -> 
  3 - a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10838] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 10*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10839] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 29*a^2*z^4 - 
   13*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 10840] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + (6*z^2)/a^10 - (18*z^2)/a^8 + 
   (18*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^10 - (19*z^4)/a^8 + (28*z^4)/a^6 - 
   (9*z^4)/a^4 - (8*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 10841] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10842] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 10843] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 10844] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 10845] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   21*z^2 + z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10846] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 
   a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 10847] -> a^(-10) - 5/a^8 + 5/a^6 - 
   (3*z^2)/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + (15*z^2)/a^6 - 
   (2*z^4)/a^12 + (17*z^4)/a^10 - (28*z^4)/a^8 + (16*z^4)/a^6 + 
   (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 10848] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 23*z^2 - z^2/a^4 + (13*z^2)/a^2 + 
   10*a^2*z^2 - 36*z^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 10849] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10850] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + z^2/a^6 - 
   z^2/a^4 + 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 10851] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + 
   a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 10852] -> 2/a^6 - 5/a^4 + 4/a^2 + (11*z^2)/a^6 - 
   (24*z^2)/a^4 + (12*z^2)/a^2 + (13*z^4)/a^6 - (37*z^4)/a^4 + (13*z^4)/a^2 + 
   (6*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 10853] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (21*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - (34*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 10854] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (14*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10855] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (7*z^2)/a^8 - (14*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + (5*z^4)/a^8 - 
   (16*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^8 - (7*z^6)/a^6 - z^8/a^6, 
 Knot[14, NonAlternating, 10856] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 16*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 17*z^4 - z^4/a^4 - 5*a^2*z^4 + 7*z^6 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 10857] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 - (4*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 10858] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (13*z^2)/a^8 + (4*z^2)/a^6 + (3*z^4)/a^12 - (10*z^4)/a^10 + (12*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 10859] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^8 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10860] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 10861] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 10862] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - 
   (3*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (2*z^4)/a^10 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 10863] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   (3*z^2)/a^16 - (23*z^2)/a^14 + (16*z^2)/a^12 + (20*z^2)/a^10 + z^4/a^16 - 
   (24*z^4)/a^14 + (33*z^4)/a^12 + (37*z^4)/a^10 - (9*z^6)/a^14 + 
   (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 10864] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 26*z^2 - z^2/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 
   37*z^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   8*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 10865] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 8*a^2*z^2 + 18*a^4*z^2 - 4*a^8*z^2 - 
   8*a^2*z^4 + 21*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 10866] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   z^2/a^16 - (10*z^2)/a^14 + z^2/a^12 + (18*z^2)/a^10 + (5*z^2)/a^8 - 
   (7*z^4)/a^14 + (8*z^4)/a^12 + (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 10867] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 
   3*a^2 - 12*z^2 + (4*z^2)/a^4 + 6*a^2*z^2 - 11*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 10868] -> -1 + 2*a^2 + a^4 - a^8 - 
   3*z^2 + 3*a^2*z^2 + 7*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   8*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10869] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 10870] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 10871] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (5*z^2)/a^10 + 
   (6*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[14, NonAlternating, 10872] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^12 + 
   (9*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (10*z^4)/a^10 - 
   (18*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 10873] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2, Knot[14, NonAlternating, 10874] -> 
  1 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 10875] -> -2*a^4 + 7*a^6 - 3*a^8 - 
   a^10 - a^2*z^2 - 3*a^4*z^2 + 21*a^6*z^2 - 8*a^8*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 21*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 10876] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 - (2*z^2)/a^14 - (14*z^2)/a^12 + 
   (24*z^2)/a^10 + (5*z^2)/a^8 - z^4/a^14 - (8*z^4)/a^12 + (30*z^4)/a^10 + 
   (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 10877] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 
   z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10878] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (29*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (37*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 10879] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10880] -> 3/a^6 - 7/a^4 + 5/a^2 - 3*z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - z^4/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10881] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6, Knot[14, NonAlternating, 10882] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   6*z^2 + 15*a^2*z^2 - 7*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10883] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^10 - (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 10884] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 10885] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 10886] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 
   2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 
   11*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10887] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 10888] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 
   24*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 30*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 10889] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 - (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 10890] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + (3*z^2)/a^16 - (19*z^2)/a^14 + 
   (8*z^2)/a^12 + (23*z^2)/a^10 + z^4/a^16 - (23*z^4)/a^14 + (28*z^4)/a^12 + 
   (38*z^4)/a^10 - (9*z^6)/a^14 + (26*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 10891] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (8*z^2)/a^8 + (17*z^2)/a^6 - (3*z^2)/a^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10892] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 10893] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (4*z^4)/a^6 + 
   (11*z^4)/a^4 - z^6/a^6 + (6*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 10894] -> 1 - 2/a^4 + 3/a^2 - a^2 + 8*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 - z^4/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 6*z^6 - a^2*z^6 + z^8, Knot[14, NonAlternating, 10895] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 10896] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - 
   (29*z^2)/a^4 + (13*z^2)/a^2 - z^4/a^8 + (17*z^4)/a^6 - (39*z^4)/a^4 + 
   (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 10897] -> 
  -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 13*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 
   13*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10898] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (5*z^2)/a^8 - (8*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^8 - 
   (12*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^8 - (6*z^6)/a^6 - z^8/a^6, 
 Knot[14, NonAlternating, 10899] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 4*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 4*z^4 + z^4/a^6 - (11*z^4)/a^2 + 
   z^6 - (6*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 10900] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   4*z^4 + 13*a^2*z^4 - 5*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 10901] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10902] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   6*a^2*z^2 + 12*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 - 7*a^2*z^4 + 17*a^4*z^4 + 
   6*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 10*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 10903] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 + z^2/a^16 - (10*z^2)/a^14 + 
   (5*z^2)/a^12 + (10*z^2)/a^10 + (8*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (20*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10904] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - 
   z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 10905] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   6*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + 
   z^4/a^4 - a^2*z^4 + z^6, Knot[14, NonAlternating, 10906] -> 
  a^(-12) - 2/a^10 + 2/a^4 - z^2/a^10 + (4*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 10907] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 10908] -> 
  2 - a^(-2) + a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 + a^2*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 10909] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^6, Knot[14, NonAlternating, 10910] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 + 
   a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 10911] -> 
  2*a^2 - a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[14, NonAlternating, 10912] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 10913] -> 
  2*a^2 - a^4 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 10914] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   z^2 - 3*a^2*z^2 + 13*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - z^4 + 10*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 10915] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   10*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10916] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 
   3*z^2 + 9*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 10917] -> 
  1 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - 6*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 10918] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10919] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - z^4 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 10920] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - (5*z^2)/a^12 + (9*z^2)/a^10 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + (6*z^4)/a^10 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^6)/a^8, Knot[14, NonAlternating, 10921] -> 
  -a^(-4) + 2/a^2 - z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - z^4/a^6 - 
   z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 10922] -> -a^(-8) + 2/a^4 - z^2/a^12 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 10923] -> 3 - a^(-2) - a^2 + 9*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 10924] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^10 - z^2/a^8 - (8*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 10925] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 8*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 10926] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10927] -> -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 10928] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 10929] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 
   3/a^2 - z^2/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 10930] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10931] -> -2*a^4 + 8*a^6 - 5*a^8 - 5*a^4*z^2 + 
   18*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 - 4*a^4*z^4 + 15*a^6*z^4 + 7*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 10932] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 + 
   z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 10933] -> 
  -3 - 4/a^4 + 8/a^2 - 7*z^2 - (3*z^2)/a^6 - z^2/a^4 + (15*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 10934] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 2*a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 10935] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10936] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10937] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10938] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 10939] -> -3 - 3/a^4 + 7/a^2 - a^2 + 
   a^4 - 5*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 10940] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 10941] -> 3/a^10 - 8/a^8 + 5/a^6 + a^(-4) - 
   z^2/a^12 + (10*z^2)/a^10 - (20*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + 
   (9*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 10942] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10943] -> a^(-14) - 7/a^12 + 7/a^10 + 
   (2*z^2)/a^16 - (11*z^2)/a^14 - (5*z^2)/a^12 + (28*z^2)/a^10 + z^4/a^16 - 
   (18*z^4)/a^14 + (15*z^4)/a^12 + (42*z^4)/a^10 - (8*z^6)/a^14 + 
   (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 10944] -> 
  -3/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - (3*z^2)/a^12 + 
   (13*z^2)/a^10 + (8*z^2)/a^8 - (6*z^4)/a^14 + (4*z^4)/a^12 + 
   (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 10945] -> 2/a^14 - 8/a^12 + 7/a^10 - a^(-8) + 
   a^(-6) + z^2/a^14 - (16*z^2)/a^12 + (29*z^2)/a^10 - (13*z^2)/a^8 + 
   (10*z^2)/a^6 - (8*z^4)/a^12 + (35*z^4)/a^10 - (26*z^4)/a^8 + 
   (15*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 10946] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 11*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10947] -> a^(-8) + a^(-6) - 6/a^4 + 5/a^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10948] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + 
   a^(-6) - (6*z^2)/a^12 + (10*z^2)/a^10 + z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 10949] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - 2*z^4 + (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10950] -> 2 + a^(-8) - 2/a^4 + 2*z^2 + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 10951] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 10952] -> 4 + 3/a^4 - 6/a^2 + 6*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (13*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 10953] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10954] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^6*z^2 + 4*z^4 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 10955] -> 2 + 2/a^6 - 3/a^4 - z^2 + 
   z^2/a^8 - (6*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 10956] -> -a^(-4) + 2/a^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 10957] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 3*z^4 + (6*z^4)/a^6 - (14*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 10958] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 10959] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + z^2 + 
   6*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - a^2*z^6 - 3*a^4*z^6, Knot[14, NonAlternating, 10960] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 10961] -> 
  3 - a^(-2) - a^2 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^4*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 10962] -> a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 
   4/a^6 - (5*z^2)/a^12 + (13*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (7*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 10963] -> 
  -4 + 12*a^2 - 9*a^4 + 2*a^6 - 11*z^2 + z^2/a^2 + 27*a^2*z^2 - 17*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 + z^4/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 10964] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (19*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 10965] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 11*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (27*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 10966] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 10967] -> -8 - 2/a^4 + 7/a^2 + 4*a^2 + 
   a^4 - a^6 - 18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   7*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 10968] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 10969] -> a^(-14) - 5/a^12 + 7/a^10 - 
   6/a^8 + 4/a^6 - (6*z^2)/a^12 + (14*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 10970] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 + 7*a^2*z^2 - 18*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 14*a^4*z^4 + 
   5*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 10971] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   27*z^2 + (11*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + (8*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 10972] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (14*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 10973] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 11*a^2*z^2 - 27*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 10974] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   2*z^2 + 14*a^2*z^2 - 24*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   11*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 10975] -> 
  -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 23*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (18*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   5*a^2*z^4 - 8*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 10976] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (24*z^2)/a^4 + (14*z^2)/a^2 - z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (24*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 10977] -> 2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (16*z^2)/a^8 + (28*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (26*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 10978] -> a^(-14) - 5/a^12 + 6/a^10 - 4/a^8 + 
   3/a^6 - (7*z^2)/a^12 + (19*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - (18*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 10979] -> 
  a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (10*z^2)/a^8 + 
   (21*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - (6*z^4)/a^8 + (18*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10980] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   z^2 - z^2/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^4, Knot[14, NonAlternating, 10981] -> 
  -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 7*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 
   4*z^4 - z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 10982] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10983] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   6*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10984] -> a^(-8) + a^(-6) - 6/a^4 + 5/a^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10985] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 10986] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 10987] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - a^2*z^2 - 6*a^4*z^2 + 28*a^6*z^2 - 12*a^8*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 26*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 10988] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 10989] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 + (3*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6, Knot[14, NonAlternating, 10990] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 10991] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   2*z^2 + (3*z^2)/a^8 - (6*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2, Knot[14, NonAlternating, 10992] -> 
  2/a^10 - 4/a^8 + 3/a^4 + (3*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 10993] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 10994] -> 
  a^(-14) - 6/a^12 + 10/a^10 - 9/a^8 + 5/a^6 - (7*z^2)/a^12 + (23*z^2)/a^10 - 
   (21*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - 
   (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 10995] -> 2/a^10 - 10/a^8 + 13/a^6 - 5/a^4 + 
   a^(-2) + z^2/a^10 - (14*z^2)/a^8 + (28*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 - (6*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 10996] -> a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 
   6/a^6 - (4*z^2)/a^12 + (15*z^2)/a^10 - (21*z^2)/a^8 + (16*z^2)/a^6 + 
   (8*z^4)/a^10 - (17*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 10997] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 + z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 10998] -> -8 - 4/a^4 + 11/a^2 + a^2 + a^4 - 
   15*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 10999] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 11000] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11001] -> 5/a^6 - 11/a^4 + 7/a^2 + z^2/a^8 + 
   (6*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^8 - (13*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 11002] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 13*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + 
   (12*z^4)/a^2 + (2*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, NonAlternating, 11003] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   5*z^2 + 19*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   13*a^2*z^4 - 16*a^4*z^4 + 5*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11004] -> -10 + 3/a^2 + 13*a^2 - 5*a^4 - 
   20*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11005] -> -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 
   2*a^2*z^2 - 6*a^4*z^2 + 33*a^6*z^2 - 18*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   29*a^6*z^4 - 10*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 11006] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11007] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 11008] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11009] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 11010] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11011] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11012] -> -2/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 11013] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 10*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 11014] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11015] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 11016] -> 
  -1 + 3/a^6 - 8/a^4 + 7/a^2 - 4*z^2 + z^2/a^8 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 - (11*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11017] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 2*a^2*z^2 - 3*a^4*z^2 + 25*a^6*z^2 - 11*a^8*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 24*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 11018] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11019] -> -1 + 2*a^2 + a^4 - a^8 - 4*z^2 + 
   8*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11020] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 6*z^2 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 11021] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 11022] -> a^(-10) - 5/a^8 + 7/a^6 - 
   4/a^4 + 2/a^2 + z^2/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11023] -> 2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 
   2/a^6 + z^2/a^14 - (11*z^2)/a^12 + (15*z^2)/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^12 + (14*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 11024] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (25*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   (6*z^4)/a^8 + (26*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 11025] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 11026] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   4*z^4 + z^4/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11027] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - z^4 - (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 11028] -> 1 - 2/a^6 + 5/a^4 - 3/a^2 - 
   a^2 + a^4 + z^2 - z^2/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11029] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 11030] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11031] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 11032] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + z^4 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 11033] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - z^2 + 
   3*a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 
   7*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 11034] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 + z^2/a^14 - (8*z^2)/a^12 + (12*z^2)/a^10 - (8*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^4)/a^12 + (15*z^4)/a^10 - (12*z^4)/a^8 + 
   (10*z^4)/a^6 + (5*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 11035] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 11036] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - z^2 - 3*a^2*z^2 + 11*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 - z^4 + 9*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 11037] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 11038] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - (6*z^4)/a^8 + (12*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11039] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 6*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11040] -> 2*a^4 - 3*a^6 + 4*a^8 - a^10 - a^12 + 
   6*a^4*z^2 - 7*a^6*z^2 + 10*a^8*z^2 - a^12*z^2 + 5*a^4*z^4 - 10*a^6*z^4 + 
   7*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 11041] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 10*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 11042] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + a^8*z^2 - 5*z^4 + 8*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 11043] -> 
  -2/a^12 + 5/a^10 - 4/a^8 - a^(-6) + 3/a^4 - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (12*z^2)/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 + (8*z^4)/a^10 - (14*z^4)/a^8 - 
   (9*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^10 - (7*z^6)/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 11044] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11045] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + z^4/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 
   z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 11046] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 11047] -> 
  -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 11048] -> 
  -1 + a^(-4) - a^2 + 3*a^4 - a^6 - 4*z^2 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 3*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11049] -> -a^(-12) + 2/a^10 - 3/a^6 + 2/a^4 + 
   a^(-2) + (2*z^2)/a^10 + (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 11050] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 11051] -> 
  1 - a^6 + 2*a^8 - a^10 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 
   2*z^4 + 2*a^2*z^4 - 5*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 11052] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 11053] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 2*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 11054] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 + (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 11055] -> 
  3*a^6 - 4*a^8 + 6*a^10 - 5*a^12 + a^14 + 2*a^4*z^2 + 6*a^6*z^2 - 
   6*a^8*z^2 + 13*a^10*z^2 - 6*a^12*z^2 + 3*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + 
   10*a^10*z^4 - a^12*z^4 + a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - 
   a^6*z^8 - a^8*z^8, Knot[14, NonAlternating, 11056] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 11057] -> 
  2*a^4 - 3*a^6 + 4*a^8 - a^10 - a^12 + 6*a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - 
   2*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 11058] -> 
  1 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 11059] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 11060] -> 
  a^2 + a^6 - a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + 5*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11061] -> 
  a^2 + a^8 - a^10 + 2*z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 
   z^4 - 6*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 11062] -> 
  a^2 + a^4 - a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 
   5*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11063] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11064] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 11065] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + z^2/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11066] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + (5*z^2)/a^6 - (3*z^2)/a^4 + 
   z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11067] -> 2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 11068] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11069] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 11070] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11071] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 + 
   z^2/a^2 + 2*a^4*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11072] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 - z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11073] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   5*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11074] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 
   3*a^4 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 
   17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 11075] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 4*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 11076] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - z^4 + 8*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11077] -> 3*a^2 - 3*a^4 + a^6 + z^2 + a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 11078] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   4*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + z^6, Knot[14, NonAlternating, 11079] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 7*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 11080] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - 
   6*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*z^4 - 8*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11081] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 11082] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11083] -> 3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + 10*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 
   4*a^6*z^4 - 5*a^8*z^4 + 7*a^10*z^4 - a^6*z^6 - 3*a^8*z^6, 
 Knot[14, NonAlternating, 11084] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11085] -> a^(-2) - a^4 + a^6 - z^2 + z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + z^6 - 
   4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11086] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11087] -> 3*a^2 - 4*a^4 + 5*a^6 - 5*a^8 + 2*a^10 + 
   6*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 7*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 11088] -> 
  2 - 3*a^2 + 2*a^4 + a^8 - a^10 + 3*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + 
   2*a^8*z^2 + z^4 - 5*a^2*z^4 - a^6*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 11089] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 + z^2/a^6 - 
   (5*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 11090] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 
   a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 9*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 
   5*a^4*z^4 - 10*a^6*z^4 + 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 11091] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11092] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 
   2*a^4 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 11093] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 6*z^2 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 11094] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 11095] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 7*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 6*a^2*z^4 - 2*a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 11096] -> 
  -a^(-8) + 2/a^4 + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 11097] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   2*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 11098] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11099] -> 2*a^6 + a^8 - 2*a^10 + 2*a^4*z^2 + 
   a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 11*a^8*z^4 - 
   2*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 11100] -> 2 - 3*a^4 + 2*a^6 + 4*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 10*a^4*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11101] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11102] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 11103] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^6 - z^2/a^4 - a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11104] -> 1 + a^(-4) - a^(-2) + a^2 - 2*a^4 + a^8 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + 3*a^2*z^4 + 
   a^4*z^4, Knot[14, NonAlternating, 11105] -> 
  -2/a^6 + 3/a^4 - z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11106] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 - 
   2*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 2*a^4*z^4 + 2*a^6*z^4, 
 Knot[14, NonAlternating, 11107] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^4 + z^4/a^2 - 
   a^2*z^4, Knot[14, NonAlternating, 11108] -> 
  a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 + a^2*z^4 - a^4*z^4 + 3*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 11109] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 11110] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 11111] -> 
  3*a^4 - 4*a^6 + 3*a^8 - a^12 + 7*a^4*z^2 - 9*a^6*z^2 + 8*a^8*z^2 + 
   a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 11*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 11112] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11113] -> 2*a^2 - a^4 + 3*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 11114] -> -3/a^8 + 5/a^6 - 2/a^4 + 
   a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11115] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 11116] -> 
  a^2 + a^10 - a^12 + 2*a^2*z^2 + 2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 11117] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 11118] -> 
  1 + z^2 - a^2*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 11119] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 11120] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 11121] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 6*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11122] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 11123] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11124] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11125] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11126] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 
   20*z^2 + (6*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 11127] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 11128] -> 2*a^4 - a^8 + 3*a^4*z^2 + 3*a^6*z^2 - 
   4*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 5*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 11129] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 11130] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11131] -> -a^(-4) + 2/a^2 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 11132] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   3*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 11133] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   5*a^8*z^2 - a^10*z^2 - a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 11134] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   8*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11135] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^4 - 
   z^2/a^2 - z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11136] -> -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^4 + 
   2*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 11137] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 10*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11138] -> 
  a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11139] -> 
  -5 + 3/a^2 + 3*a^2 - 8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 11140] -> 
  4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   z^6 - a^4*z^6, Knot[14, NonAlternating, 11141] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 12*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11142] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11143] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 15*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11144] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   2*z^4 - (2*z^4)/a^6 + z^4/a^2 - z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 11145] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 17*z^2 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 11146] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11147] -> a^(-2) - a^2 + a^4 + 2*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11148] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11149] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^4 - (2*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 11150] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11151] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   (4*z^2)/a^12 + (5*z^2)/a^10 + (6*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[14, NonAlternating, 11152] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 + z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11153] -> a^(-2) - a^2 + a^4 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 11154] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (11*z^2)/a^10 - 
   (20*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - (21*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 11155] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + (6*z^2)/a^10 - (17*z^2)/a^8 + 
   (15*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (17*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11156] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 11157] -> -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - z^4/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 11158] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 2*z^4 + z^4/a^4 + (3*z^4)/a^2, 
 Knot[14, NonAlternating, 11159] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + a^6*z^2 + 4*z^4 - 6*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11160] -> 5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 
   8*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11161] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + 3*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 11162] -> 
  -7 + 4/a^2 + 4*a^2 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 
   15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 11163] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (24*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11164] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 11165] -> -2/a^8 + 6/a^6 - 7/a^4 + 
   4/a^2 + z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11166] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 
   5*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11167] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 20*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11168] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 11169] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11170] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   8*z^2 + (3*z^2)/a^4 + 4*a^2*z^2 - 8*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 11171] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (10*z^2)/a^10 - (20*z^2)/a^8 + (14*z^2)/a^6 + 
   z^2/a^4 + (7*z^4)/a^10 - (25*z^4)/a^8 + (21*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^10 - (13*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 11172] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - (6*z^2)/a^12 + (11*z^2)/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - z^4/a^12 + (10*z^4)/a^10 - (7*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 11173] -> -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 12*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11174] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 11175] -> 
  3/a^6 - 7/a^4 + 5/a^2 + z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11176] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 2*z^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11177] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 11178] -> 
  -2*a^4 + 8*a^6 - 5*a^8 + a^2*z^2 - 4*a^4*z^2 + 17*a^6*z^2 - 6*a^8*z^2 - 
   2*a^4*z^4 + 10*a^6*z^4 - 2*a^8*z^4 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 11179] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^4 + z^4/a^2 + 
   6*a^2*z^4 - 3*z^6 - z^6/a^2, Knot[14, NonAlternating, 11180] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) - (5*z^2)/a^10 + (11*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 11181] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + z^2/a^14 - (14*z^2)/a^12 + 
   (17*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (5*z^4)/a^12 + (15*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 11182] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 3*a^4*z^2 + 
   14*a^6*z^2 - 3*a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 11183] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - (5*z^2)/a^8 + (9*z^2)/a^6 - (2*z^4)/a^10 + z^4/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 + z^8/a^8 + z^8/a^6, Knot[14, NonAlternating, 11184] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11185] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11186] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (6*z^4)/a^6 - (24*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 11187] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + (5*z^2)/a^10 - (15*z^2)/a^8 + 
   (16*z^2)/a^6 - z^2/a^4 + z^4/a^10 - (10*z^4)/a^8 + (14*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11188] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 6*z^2 + 
   17*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11189] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (20*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   (6*z^4)/a^8 + (24*z^4)/a^6 - (26*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 11190] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (11*z^2)/a^10 - 
   (10*z^2)/a^8 + (11*z^2)/a^6 - z^4/a^12 + (9*z^4)/a^10 - (9*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^6)/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 11191] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   3*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11192] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 5*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (12*z^2)/a^2 - 4*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11193] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (10*z^2)/a^14 - 
   (4*z^2)/a^12 + (25*z^2)/a^10 + (2*z^2)/a^8 - (6*z^4)/a^14 + (2*z^4)/a^12 + 
   (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 11194] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 9*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 6*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6 + z^6/a^2, Knot[14, NonAlternating, 11195] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 11196] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 11197] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 9*z^2 - (2*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 
   7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 11198] -> 
  2*a^4 - a^8 - 2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   6*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11199] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (11*z^2)/a^8 + 
   (25*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - (7*z^4)/a^8 + (27*z^4)/a^6 - 
   (24*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 11200] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 
   4*z^2 + 11*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   11*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11201] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (6*z^2)/a^14 - 
   (12*z^2)/a^12 + (28*z^2)/a^10 + (2*z^2)/a^8 - (6*z^4)/a^14 - 
   (2*z^4)/a^12 + (37*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 11202] -> 1 - 2/a^4 + 3/a^2 - a^2 + z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - a^4*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 11203] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 + (5*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - 
   (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 11204] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 + 9*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   2*z^4 + 7*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 11205] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 11206] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 5*z^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11207] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + z^2/a^10 - z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 11208] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 7*z^2 - 
   z^2/a^2 - 8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 7*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11209] -> 2/a^10 - 6/a^8 + 5/a^6 - a^(-4) + 
   a^(-2) + (3*z^2)/a^10 - (12*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11210] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   11*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (10*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 11211] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 11212] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 4*z^4 + (2*z^4)/a^4 - z^4/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 11213] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11214] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 11215] -> 
  3 + 2/a^4 - 4/a^2 + 6*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 + 5*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11216] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11217] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   5*a^4*z^2 + 22*a^6*z^2 - 10*a^8*z^2 - 4*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 - 
   a^4*z^6 + 7*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 11218] -> 3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + 
   z^2/a^16 - z^2/a^14 - (19*z^2)/a^12 + (25*z^2)/a^10 + (5*z^2)/a^8 - 
   (4*z^4)/a^14 - (8*z^4)/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 11219] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 
   3*a^6 - a^8 + 4*z^2 - z^2/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 11220] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - 
   2*z^2 - z^2/a^8 + (13*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (7*z^4)/a^6 - (28*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11221] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + (5*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 11222] -> 1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - 
   a^8 + 5*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   6*z^4 - z^4/a^2 - a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 11223] -> 5 - 3/a^2 + a^2 - 2*a^4 + 9*z^2 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 8*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11224] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 - 
   (4*z^2)/a^14 - (7*z^2)/a^12 + (17*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + z^4/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 11225] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (6*z^2)/a^12 + (16*z^2)/a^10 - (17*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - z^4/a^12 + (14*z^4)/a^10 - (17*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 11226] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 11227] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 
   3*a^4 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 
   13*z^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11228] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (2*z^6)/a^6, Knot[14, NonAlternating, 11229] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11230] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 11231] -> 
  a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 4/a^6 - (7*z^2)/a^12 + (20*z^2)/a^10 - 
   (17*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - 
   (19*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 11232] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 19*z^2 + 
   (5*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11233] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 
   11*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 10*z^4 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 11234] -> 
  2*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11235] -> 4 - 2/a^2 - a^4 + 7*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11236] -> 6 - 3/a^2 - a^2 - a^4 + 8*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11237] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 11238] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 3*a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 11239] -> 
  4 - a^(-4) - 2*a^2 + 9*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 8*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 11240] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (31*z^2)/a^6 - (8*z^2)/a^4 + (2*z^4)/a^10 - (19*z^4)/a^8 + (38*z^4)/a^6 - 
   (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 11241] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 11242] -> 
  2/a^14 - 9/a^12 + 8/a^10 + z^2/a^16 - (2*z^2)/a^14 - (21*z^2)/a^12 + 
   (35*z^2)/a^10 - (4*z^4)/a^14 - (15*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - 
   (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 11243] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^10 + (4*z^4)/a^8 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 11244] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6, Knot[14, NonAlternating, 11245] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11246] -> 
  -3*a^4 + 10*a^6 - 6*a^8 - 10*a^4*z^2 + 32*a^6*z^2 - 12*a^8*z^2 - a^10*z^2 - 
   12*a^4*z^4 + 40*a^6*z^4 - 12*a^8*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 
   6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 11247] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 11248] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11249] -> -a^6 + 7*a^8 - 5*a^10 + 2*a^4*z^2 - 
   3*a^6*z^2 + 21*a^8*z^2 - 9*a^10*z^2 + a^4*z^4 - 3*a^6*z^4 + 19*a^8*z^4 - 
   5*a^10*z^4 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 11250] -> 3 - a^(-2) - a^2 + 9*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 11251] -> 2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 + 
   (6*z^2)/a^8 - (18*z^2)/a^6 + (12*z^2)/a^4 + z^4/a^10 + (3*z^4)/a^8 - 
   (19*z^4)/a^6 + (7*z^4)/a^4 - (8*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 11252] -> 8 - 4/a^2 - 2*a^2 - a^4 + 22*z^2 - 
   (10*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 21*z^4 - (6*z^4)/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + 8*z^6 - z^6/a^2 + z^8, Knot[14, NonAlternating, 11253] -> 
  -2/a^6 + 3/a^4 - (3*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11254] -> -3/a^8 + 4/a^6 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 11255] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 + a^2*z^2 - a^4*z^2 + 7*a^6*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 - a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 11256] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - z^4/a^6 + 
   (9*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 11257] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2 + z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11258] -> 5*a^8 - 4*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11259] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 11260] -> -a^4 + 4*a^6 - 2*a^10 + z^2 + 
   6*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 11261] -> -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11262] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   3*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11263] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 11264] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   2*z^2 - z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + 
   z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 11265] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   2*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 9*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11266] -> -a^2 + 5*a^4 - 3*a^6 + z^2 - 3*a^2*z^2 + 
   8*a^4*z^2 - 2*a^6*z^2 + z^4 - 3*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 11267] -> 3 - a^(-2) - a^2 + 6*z^2 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^4 - a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 11268] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 11269] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 11270] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   (5*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 + (6*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11271] -> -a^4 + 4*a^6 - 2*a^10 + a^2*z^2 - 
   3*a^4*z^2 + 11*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 
   7*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11272] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 3*a^2*z^2 + 
   4*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 11273] -> -1 + 3*a^2 - a^6 - 3*z^2 + 7*a^2*z^2 - 
   a^6*z^2 - 2*z^4 + 6*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 11274] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 - (5*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 11275] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + a^6*z^2 + 3*z^4 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 11276] -> 
  a^(-2) - a^2 + a^4 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11277] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11278] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 11279] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - (5*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^4 + 
   z^2/a^2 + (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11280] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - 
   (4*z^2)/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, 
 Knot[14, NonAlternating, 11281] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 
   4*z^2 + 13*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11282] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 11283] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11284] -> -4 - 5/a^4 + 10/a^2 - 12*z^2 - 
   (12*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 - (13*z^4)/a^4 + (38*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 11285] -> 
  6 - 3/a^2 - a^2 - a^4 + 8*z^2 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 11286] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (2*z^2)/a^6 + (11*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 11287] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^12 + z^2/a^10 + (7*z^2)/a^8 - 
   (13*z^2)/a^6 + (9*z^2)/a^4 + (2*z^4)/a^10 + (4*z^4)/a^8 - (14*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 11288] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   (11*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 - (5*z^4)/a^12 + 
   (17*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 11289] -> -a^2 + a^4 + 5*a^6 - 4*a^8 - 
   3*a^2*z^2 + 4*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 11290] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - (4*z^2)/a^12 + (15*z^2)/a^10 - 
   (19*z^2)/a^8 + (15*z^2)/a^6 - (2*z^4)/a^12 + (18*z^4)/a^10 - 
   (28*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 11291] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (5*z^2)/a^8 + (22*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^8 + 
   (21*z^4)/a^6 - (35*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 11292] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 11293] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - (8*z^2)/a^12 + (17*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 - (3*z^4)/a^12 + (22*z^4)/a^10 - 
   (23*z^4)/a^8 + (15*z^4)/a^6 + (9*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 11294] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   2*z^2 - z^2/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11295] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (9*z^2)/a^8 + (18*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   (5*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 11296] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11297] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 10*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 11298] -> -2/a^12 + 4/a^10 - 3/a^8 + 
   2/a^4 - (2*z^2)/a^12 + (9*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + (6*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 11299] -> 5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11300] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^12 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 11301] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   5*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 11302] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 11303] -> 2*a^2 - a^4 - z^2/a^6 + z^2/a^4 + 
   2*a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 11304] -> a^(-4) - 2*a^2 + 2*a^4 + 5*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11305] -> 2 + a^(-4) - 2/a^2 - 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 11306] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + 2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + z^4/a^8 - (6*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11307] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^12 + (2*z^2)/a^8 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 11308] -> -a^4 + 6*a^6 - 4*a^8 + a^2*z^2 - 
   3*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 
   7*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11309] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   8*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 6*a^2*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 11310] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) + (3*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 11311] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^4 + 
   z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11312] -> 1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 
   2*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11313] -> 
  a^(-14) - 5/a^12 + 6/a^10 - 4/a^8 + 3/a^6 - (8*z^2)/a^12 + (19*z^2)/a^10 - 
   (14*z^2)/a^8 + (12*z^2)/a^6 - (3*z^4)/a^12 + (22*z^4)/a^10 - 
   (24*z^4)/a^8 + (15*z^4)/a^6 + (9*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 11314] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + z^2/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11315] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 14*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11316] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 11317] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11318] -> a^(-6) - 3/a^4 + 3/a^2 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 11319] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 + (10*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - 
   (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 11320] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 11321] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 11322] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + z^2/a^16 - (9*z^2)/a^14 - (2*z^2)/a^12 + (19*z^2)/a^10 + 
   (5*z^2)/a^8 - (7*z^4)/a^14 + (7*z^4)/a^12 + (25*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 11323] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + 6*z^4 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 11324] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[14, NonAlternating, 11325] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 - z^2/a^2 + 10*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - z^4/a^2 + 9*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 11326] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^2 + z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - z^6/a^6, Knot[14, NonAlternating, 11327] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - z^4/a^2 + 13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11328] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - z^2/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11329] -> 
  -7 + 4/a^2 + 4*a^2 - 17*z^2 - z^2/a^6 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11330] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 11331] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11332] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 11333] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (7*z^2)/a^10 - (23*z^2)/a^8 + (26*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^10 - 
   (23*z^4)/a^8 + (34*z^4)/a^6 - (10*z^4)/a^4 - (9*z^6)/a^8 + (23*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 11334] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11335] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 11336] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11337] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 11338] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11339] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) + (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11340] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^16 - (5*z^2)/a^14 - (6*z^2)/a^12 + (14*z^2)/a^10 + (8*z^2)/a^8 - 
   (6*z^4)/a^14 + (3*z^4)/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 11341] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 11342] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 + 
   a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 - a^10*z^2 - 3*a^4*z^4 + 
   13*a^6*z^4 - a^10*z^4 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11343] -> -3*a^4 + 13*a^6 - 12*a^8 + 3*a^10 - 
   8*a^4*z^2 + 30*a^6*z^2 - 17*a^8*z^2 + a^10*z^2 - 7*a^4*z^4 + 26*a^6*z^4 - 
   5*a^8*z^4 - 2*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 2*a^8*z^6 - a^10*z^6 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 11344] -> 
  -8 + 2/a^2 + 13*a^2 - 7*a^4 + a^6 - 17*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 11345] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   z^2/a^10 - (17*z^2)/a^8 + (30*z^2)/a^6 - (8*z^2)/a^4 - (2*z^4)/a^10 - 
   (5*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 - z^6/a^10 + (2*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 11346] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 21*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 11347] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (24*z^2)/a^6 - (24*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (33*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 11348] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   5*z^2 - z^2/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - 2*z^4 + 
   (5*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 11349] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 19*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (5*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (4*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11350] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 11351] -> -6 + 2/a^6 - 11/a^4 + 16/a^2 - 19*z^2 + 
   (3*z^2)/a^6 - (23*z^2)/a^4 + (42*z^2)/a^2 + 2*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (19*z^4)/a^4 + (47*z^4)/a^2 + 3*a^2*z^4 - 11*z^6 - (7*z^6)/a^4 + 
   (27*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11352] -> -6 + 16*a^2 - 11*a^4 + 2*a^6 - 19*z^2 + 
   (2*z^2)/a^2 + 42*a^2*z^2 - 23*a^4*z^2 + 3*a^6*z^2 - 22*z^4 + (3*z^4)/a^2 + 
   47*a^2*z^4 - 19*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 27*a^2*z^6 - 
   7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 11353] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 11354] -> 
  1 + 3/a^6 - 6/a^4 + 3/a^2 - z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11355] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 13*z^4 - z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 11356] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 11357] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 12*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11358] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11359] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   (7*z^4)/a^8 + (27*z^4)/a^6 - (23*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 11360] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 - z^2/a^4 + 13*a^2*z^2 - 10*a^4*z^2 + 
   a^6*z^2 + z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 11361] -> -3 + 3/a^2 - a^2 + 2*a^4 - 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11362] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11363] -> -2/a^8 + 10/a^6 - 15/a^4 + 8/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (30*z^2)/a^6 - (36*z^2)/a^4 + (12*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (37*z^4)/a^6 - (34*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 11364] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 11365] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - z^2 + 
   11*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 + 2*z^4 + a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 11366] -> -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 
   16*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 11367] -> 
  2/a^10 - 9/a^8 + 9/a^6 - a^(-2) + z^2/a^10 - (12*z^2)/a^8 + (21*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11368] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11369] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 11370] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (4*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   (5*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 11371] -> 
  -a^(-12) - 2/a^10 + 4/a^8 + z^2/a^16 - (5*z^2)/a^14 - z^2/a^12 + 
   (4*z^2)/a^10 + (12*z^2)/a^8 - (5*z^4)/a^14 + (3*z^4)/a^12 + 
   (14*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 11372] -> -4/a^6 + 7/a^4 - 2/a^2 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^10 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 - 
   z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 11373] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 13*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 11374] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   z^2/a^10 - (15*z^2)/a^8 + (32*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 - 
   (7*z^4)/a^8 + (31*z^4)/a^6 - (25*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (13*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 11375] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 23*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11376] -> -a^(-8) + 7/a^6 - 12/a^4 + 7/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (25*z^2)/a^4 + (9*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^6 - (19*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 11377] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 11378] -> 2*a^2 - a^4 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 11379] -> 
  -12 - 4/a^4 + 12/a^2 + 6*a^2 - a^4 - 29*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - z^4/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11380] -> 1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - 
   a^8 + 4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   3*z^4 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 11381] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 15*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11382] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 13*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (12*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 - z^4/a^6 + (5*z^4)/a^4 - (10*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11383] -> -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 
   9*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 17*a^6*z^4 - 
   7*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 11384] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11385] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11386] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 9*z^2 - z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 - 
   a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 11387] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 9*z^2 + z^2/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11388] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + (7*z^2)/a^10 - (20*z^2)/a^8 + 
   (21*z^2)/a^6 - (3*z^2)/a^4 + (6*z^4)/a^10 - (23*z^4)/a^8 + (28*z^4)/a^6 - 
   (7*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 11389] -> -3 + a^(-8) - 4/a^6 + 5/a^4 + 2*a^2 - 
   7*z^2 + z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + z^6/a^4, 
 Knot[14, NonAlternating, 11390] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   (5*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (4*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 11391] -> a^(-14) - 5/a^12 + 9/a^10 - 
   8/a^8 + 2/a^6 + 2/a^4 - (5*z^2)/a^12 + (19*z^2)/a^10 - (20*z^2)/a^8 + 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (13*z^4)/a^10 - (22*z^4)/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 11392] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 + z^2/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + z^4 - 9*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11393] -> 
  a^4 + a^8 - a^12 + 5*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 11394] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 11395] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + 4*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11396] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 5*z^4 - (3*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 11397] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 2*z^2 - z^2/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 11398] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 8*a^2*z^2 + 7*a^4*z^2 - 
   2*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11399] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + a^8*z^2 - 3*z^4 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 11400] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 6*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 
   2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 11401] -> 1 - 2*a^2 + 3*a^4 - a^6 + a^8 - a^10 + 
   3*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + z^4 - 7*a^2*z^4 + 
   5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 11402] -> -2 + a^(-2) + 2*a^2 + a^4 - 
   a^6 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 2*z^4 + 3*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 11403] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11404] -> -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11405] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 2*z^4 - 5*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11406] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11407] -> -2 + a^(-4) + 2*a^2 - z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 11408] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - 10*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   z^4 - 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 11409] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11410] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   6*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11411] -> a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + 
   4*a^2*z^2 - 13*a^4*z^2 + 24*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 + 7*a^2*z^4 - 
   23*a^4*z^4 + 27*a^6*z^4 - 7*a^8*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 
   13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 11412] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   6*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 7*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 11413] -> 
  2 + a^(-4) - 2/a^2 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 11414] -> 
  3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 2*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 11415] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 
   2*z^2 - 3*a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + z^4 - a^2*z^4 - 
   7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11416] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11417] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 3*z^2 + 2*a^2*z^2 + a^4*z^2 - 
   3*a^6*z^2 - z^4 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11418] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 + z^4/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11419] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 11420] -> 3 - 3*a^2 + a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11421] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11422] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 3*z^2 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 11423] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 5*z^2 - z^2/a^2 + 14*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 - z^4 + 10*a^2*z^4 - 3*a^4*z^4 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 11424] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 11425] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 + a^4*z^2 + 3*a^6*z^2 + 9*a^8*z^2 - 
   6*a^10*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 9*a^8*z^4 - a^10*z^4 + a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 11426] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 11427] -> 
  2 - 4*a^4 + 4*a^6 - a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - 3*z^4 + 
   7*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11428] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 11429] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + z^4 + 2*a^2*z^4, 
 Knot[14, NonAlternating, 11430] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   4*z^2 + z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 11431] -> 
  1 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 11432] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11433] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 - z^2/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11434] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - a^2*z^4 - a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 11435] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 
   10*z^2 - (6*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 11436] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11437] -> -3 - 2/a^4 + 5/a^2 + a^2 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 11438] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11439] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   4*z^4 + z^4/a^2 + 2*a^2*z^4 - z^6, Knot[14, NonAlternating, 11440] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11441] -> -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 + (3*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - z^4/a^6 - (11*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 11442] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   z^4 - z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2, 
 Knot[14, NonAlternating, 11443] -> -8 + 4/a^2 + 6*a^2 - a^4 - 22*z^2 + 
   (8*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11444] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 
   6*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11445] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11446] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 6*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11447] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11448] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11449] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   9*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 11450] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 11451] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11452] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11453] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   2*a^4*z^6, Knot[14, NonAlternating, 11454] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + 4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11455] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[14, NonAlternating, 11456] -> 
  -a^(-4) + 2/a^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11457] -> 3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11458] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 11459] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (12*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11460] -> -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6, Knot[14, NonAlternating, 11461] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11462] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - z^4 - (7*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 11463] -> 1 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11464] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 11465] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 11466] -> a^(-4) - a^(-2) + a^2 + 3*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 3*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 11467] -> a^(-2) - a^2 + a^4 + z^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11468] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   z^6, Knot[14, NonAlternating, 11469] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 11470] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 11471] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 14*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11472] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + z^2 + 4*a^2*z^2 - 13*a^4*z^2 + 17*a^6*z^2 - 
   4*a^8*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11473] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 - z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 11474] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 11*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11475] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11476] -> 1 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 11477] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11478] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - z^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11479] -> -2/a^8 + 6/a^6 - 7/a^4 + 
   4/a^2 - 2*z^2 - z^2/a^8 + (13*z^2)/a^6 - (23*z^2)/a^4 + (14*z^2)/a^2 - 
   7*z^4 + (7*z^4)/a^6 - (28*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11480] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   4*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11481] -> a^(-16) - 8/a^12 + 8/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (14*z^2)/a^12 + (30*z^2)/a^10 + z^2/a^8 - 
   (6*z^4)/a^14 - (2*z^4)/a^12 + (38*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (19*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 11482] -> -a^4 + 5*a^6 - 2*a^8 - a^10 + 
   a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 8*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11483] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 
   2*z^2 + 6*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11484] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 11485] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + (5*z^2)/a^8 - (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 11486] -> -a^(-12) + 2/a^10 - a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6, 
 Knot[14, NonAlternating, 11487] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 11488] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (6*z^2)/a^10 - (16*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (14*z^4)/a^8 + 
   (16*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11489] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   z^2 - z^2/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11490] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 11491] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 11492] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11493] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 11494] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 11495] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 11496] -> -3 + 8*a^2 - 5*a^4 + 2*a^6 - a^8 - 
   7*z^2 + 20*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   16*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11497] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   9*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (4*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 11498] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11499] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11500] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   6*a^4*z^2 + 25*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   24*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 11501] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (10*z^2)/a^14 - 
   (5*z^2)/a^12 + (25*z^2)/a^10 + (2*z^2)/a^8 - (6*z^4)/a^14 + (2*z^4)/a^12 + 
   (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 11502] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (7*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + z^4/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 11503] -> a^(-14) - 5/a^12 + 7/a^10 - 5/a^8 + 
   2/a^6 + a^(-4) - (7*z^2)/a^12 + (19*z^2)/a^10 - (15*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - (18*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 11504] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 11505] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 11506] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 11507] -> -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 
   12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 11*z^4 + 
   (5*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11508] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11509] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 - z^2/a^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11510] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (6*z^2)/a^12 + (15*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 - z^4/a^12 + (14*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 11511] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 11512] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   5*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 11513] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 11514] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + 
   (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11515] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 11516] -> a^2 + a^6 - a^8 + z^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11517] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 11518] -> 
  -3/a^6 + 5/a^4 - a^(-2) + 3*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11519] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 11520] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 11521] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^6 - z^4/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 11522] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 6*z^2 - 
   z^2/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 
   10*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11523] -> 4 + 3/a^4 - 6/a^2 + 4*z^2 - z^2/a^8 - 
   z^2/a^6 + (9*z^2)/a^4 - (14*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 + 
   (11*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 11524] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11525] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 11526] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11527] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 11528] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11529] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 11530] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11531] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - (4*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 11532] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^4, 
 Knot[14, NonAlternating, 11533] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11534] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (4*z^2)/a^14 - (3*z^2)/a^12 + (7*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 + 
   z^4/a^12 + (12*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 11535] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 11536] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 11537] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 
   6*a^2*z^2 + 4*a^4*z^2 + z^4 + z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   z^6 - 3*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 11538] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 11539] -> 5*a^8 - 4*a^10 + 3*a^4*z^2 - 3*a^6*z^2 + 
   17*a^8*z^2 - 7*a^10*z^2 + 2*a^4*z^4 - 5*a^6*z^4 + 16*a^8*z^4 - 
   4*a^10*z^4 - 2*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 11540] -> -a^(-4) + 2/a^2 + z^2/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11541] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 5*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 11542] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 11543] -> 
  a^6 + 3*a^8 - 3*a^10 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 8*a^8*z^2 - 
   3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - 
   a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 11544] -> 
  -a^(-10) + a^(-8) + a^(-2) - z^2 + z^2/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4 - z^4/a^8 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11545] -> -2*a^2 + 5*a^4 - 2*a^8 - 5*a^2*z^2 + 
   11*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 11546] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 11547] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 + 2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - z^4 + 2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 11548] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 11549] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11550] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 11551] -> 
  -1 + 2*a^2 + a^4 - a^8 - z^2 + 2*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   a^2*z^4 + 2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 11552] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 11553] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (4*z^2)/a^12 + (9*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^4)/a^12 + (17*z^4)/a^10 - (22*z^4)/a^8 + 
   (15*z^4)/a^6 + (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 11554] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 11555] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (7*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   3*z^4 + (7*z^4)/a^6 - (18*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^6 - 
   (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 11556] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   13*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11557] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   3*z^2 + 20*a^2*z^2 - 32*a^4*z^2 + 18*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   23*a^2*z^4 - 41*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 11558] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 
   6/a^6 - (7*z^2)/a^12 + (22*z^2)/a^10 - (28*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^4)/a^12 + (24*z^4)/a^10 - (39*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 11559] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (7*z^2)/a^14 - 
   (5*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 - (6*z^4)/a^14 + (4*z^4)/a^12 + 
   (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 11560] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   9*z^2 - z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   10*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11561] -> 
  a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - (4*z^2)/a^14 - z^2/a^12 + 
   (5*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 11562] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 2*z^4 + 3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 11563] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^14 - (13*z^2)/a^12 + 
   (14*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (5*z^4)/a^12 + (14*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 11564] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 4*z^2 + 
   10*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11565] -> -3/a^6 + 5/a^4 - a^(-2) + 
   z^2 + z^2/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11566] -> 
  2*a^6 + a^8 - 2*a^10 + z^2 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - 
   a^10*z^2 - a^2*z^4 - 2*a^4*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 11567] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 - z^2/a^4 + 
   z^2/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - z^6 + a^2*z^6, Knot[14, NonAlternating, 11568] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 18*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - z^4/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11569] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11570] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 - z^2/a^6 - 
   z^2/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 11571] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11572] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 11573] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11574] -> -3 + a^(-8) - 3/a^6 + 3/a^4 + a^(-2) + 
   2*a^2 - 7*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 3*a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + z^6/a^4, 
 Knot[14, NonAlternating, 11575] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - 
   a^6 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   6*z^4 - (4*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 11576] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11577] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + 
   5*a^2*z^2 - 12*a^4*z^2 + 18*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 
   2*a^2*z^4 - 11*a^4*z^4 + 13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 
   5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 11578] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 11579] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 11580] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 - z^2/a^2 + 3*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11581] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 11582] -> 4*a^6 - 8*a^8 + 13*a^10 - 11*a^12 + 
   3*a^14 + 13*a^6*z^2 - 23*a^8*z^2 + 36*a^10*z^2 - 20*a^12*z^2 + 
   2*a^14*z^2 + 15*a^6*z^4 - 30*a^8*z^4 + 38*a^10*z^4 - 10*a^12*z^4 + 
   7*a^6*z^6 - 22*a^8*z^6 + 16*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 
   2*a^10*z^8 - a^8*z^10, Knot[14, NonAlternating, 11583] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 4*z^4 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 11584] -> 3 + a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 - 4/a^2 + 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^4 - (8*z^2)/a^2 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 11585] -> 
  2 + a^(-8) - a^(-6) - 3*a^2 + 2*a^4 + 5*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11586] -> 3 + a^(-6) - 2/a^4 + a^(-2) - 4*a^2 + 
   2*a^4 + 6*z^2 - (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 11587] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11588] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 11589] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11590] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 11591] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 
   3*a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 
   10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 11592] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 + z^4/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 11593] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11594] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + z^4 - 9*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11595] -> 1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 
   z^2 + a^2*z^2 - 4*a^4*z^2 + 3*a^8*z^2 - z^4 - 2*a^4*z^4 - 3*a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 11596] -> 
  -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 5*a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 11597] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 11598] -> 
  a^2 + a^6 - a^8 + z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11599] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 - 
   2*z^2 + z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 11600] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 11601] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 11602] -> 3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 
   6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11603] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 
   8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 9*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11604] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11605] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 2*a^2*z^2 - 
   a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11606] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 11607] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 11608] -> 
  2*a^4 - a^6 + a^10 - a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 4*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 11609] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 8*a^4*z^2 - 10*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 11610] -> 
  -a^(-4) + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11611] -> 1 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11612] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11613] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 11614] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (5*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11615] -> -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 11616] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11617] -> a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - a^6*z^4 - 
   2*a^8*z^4, Knot[14, NonAlternating, 11618] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   3*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11619] -> 2*a^4 - 2*a^8 + 2*a^10 - 
   a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   2*a^4*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 11620] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 11621] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   5*z^2 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   5*a^2*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 11622] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11623] -> 2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 + 
   a^4*z^2 + 14*a^6*z^2 - 23*a^8*z^2 + 14*a^10*z^2 - 2*a^12*z^2 - 5*a^4*z^4 + 
   22*a^6*z^4 - 28*a^8*z^4 + 9*a^10*z^4 - 5*a^4*z^6 + 17*a^6*z^6 - 
   14*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 11624] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 
   9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11625] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   5*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 11626] -> 1 + a^2 - 3*a^4 + 3*a^6 - 
   a^8 - 3*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   13*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 11627] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 16*z^2 + 
   (4*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11628] -> 2*a^4 - a^8 + 5*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 11629] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 11630] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 
   7*a^8*z^2 - a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 11631] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11632] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   11*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11633] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (19*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 11634] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 11635] -> 3*a^4 - 2*a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11636] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 11637] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 11638] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 11639] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   a^6*z^2 + 4*z^4 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11640] -> 2 - a^2 - a^4 + a^6 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   7*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11641] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 11642] -> -1 + a^(-2) + a^2 - a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11643] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - z^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 3*a^2*z^4 - 
   5*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 11644] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   3*z^4 - 7*a^2*z^4 + 2*a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11645] -> 3*a^4 - 4*a^6 + 3*a^8 - a^12 + 
   8*a^4*z^2 - 9*a^6*z^2 + 6*a^8*z^2 + a^10*z^2 + 3*a^4*z^4 - 8*a^6*z^4 + 
   2*a^8*z^4 - 2*a^6*z^6, Knot[14, NonAlternating, 11646] -> 
  -1 + a^(-2) + a^2 - z^2 + 4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 11647] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 11648] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 11649] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 11650] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11651] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11652] -> -3/a^6 + 5/a^4 - a^(-2) + 2*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 11653] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 
   2*z^2 + 2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11654] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 12*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11655] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (4*z^2)/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 - (6*z^4)/a^14 + (4*z^4)/a^12 + 
   (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 11656] -> -4 - 3/a^4 + 7/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 11657] -> -1 + a^(-2) + a^2 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - 2*z^4 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 11658] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) - z^2/a^10 + z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 11659] -> 1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11660] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 + 2*z^2 - z^2/a^2 + 4*a^4*z^2 - a^6*z^2 + 
   5*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 11661] -> -2/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11662] -> -a^(-4) + 2/a^2 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + (8*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 11663] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 - (7*z^4)/a^8 + (22*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^8 + 
   (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 11664] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (22*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (17*z^4)/a^6 - (34*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 11665] -> -2*a^2 + 5*a^4 - 2*a^8 - 3*a^2*z^2 + 
   9*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 11666] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - z^2 + 2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 11667] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (10*z^2)/a^14 - z^2/a^12 + (16*z^2)/a^10 + 
   (6*z^2)/a^8 - (6*z^4)/a^14 + (6*z^4)/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 11668] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (4*z^2)/a^14 - (4*z^2)/a^12 + 
   (9*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 + (2*z^4)/a^12 + 
   (11*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 11669] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 11670] -> 
  -a^(-10) + a^(-8) + a^(-2) - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11671] -> -2/a^10 + 4/a^8 - a^(-6) - 3/a^4 + 
   3/a^2 - z^2/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 11672] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (16*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 11673] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 
   2*a^4 + z^2/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11674] -> 5 + a^(-6) - a^(-4) - 2/a^2 - 3*a^2 + 
   a^4 + 10*z^2 + z^2/a^6 - z^2/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   9*z^4 + z^4/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11675] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + z^2/a^6 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11676] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 11677] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + z^2 - a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11678] -> 
  1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   3*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11679] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 - 3*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 11680] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 11681] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 11682] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11683] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*a^2*z^4 + 2*a^4*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 11684] -> -a^(-10) + 3/a^8 - 4/a^6 + 
   2/a^4 + a^(-2) + (3*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 11685] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 6*z^2 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11686] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 11687] -> 1 - a^2 + a^4 + a^6 - a^8 - a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11688] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 11689] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + 
   z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11690] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11691] -> 2*a^2 - a^4 - 3*z^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11692] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^2 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11693] -> 3 - a^(-2) - a^2 + 8*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + z^4/a^6 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11694] -> -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - z^4/a^2 + 3*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 11695] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 11696] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11697] -> a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 
   5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 
   a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11698] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 11699] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 - a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   4*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11700] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 11701] -> 4*a^4 - 3*a^6 - 2*a^8 + 3*a^10 - a^12 + 
   7*a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 + 2*a^4*z^4 - 5*a^6*z^4 - 
   a^8*z^4 - a^6*z^6, Knot[14, NonAlternating, 11702] -> 
  1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - (11*z^2)/a^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 11703] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 13*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + z^4/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11704] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 + z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 11705] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 11706] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 11707] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 
   z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 11708] -> 
  3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 9*a^6*z^2 - 5*a^8*z^2 + 
   9*a^10*z^2 - 5*a^12*z^2 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 6*a^10*z^4 - 
   2*a^8*z^6, Knot[14, NonAlternating, 11709] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 11710] -> 
  2 + a^(-4) - 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 11711] -> 
  a^(-4) - a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 11712] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   7*a^4*z^2 - 4*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   5*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 11713] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 11714] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   12*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11715] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 11716] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11717] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 11718] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 11719] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 
   z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11720] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   4*z^2 - z^2/a^6 + (3*z^2)/a^4 + a^2*z^2 + z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11721] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 7*a^2*z^4 - 5*a^4*z^4 - z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11722] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11723] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 11724] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 11725] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 3*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + z^4/a^4 + 
   6*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 11726] -> 
  2 - a^2 - a^4 + a^6 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 5*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11727] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11728] -> 1 - z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11729] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11730] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 
   6*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11731] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 11732] -> 2*a^4 - a^6 + a^10 - a^12 + 
   6*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   4*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 11733] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   5*z^2 - z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11734] -> -1 + a^(-2) + a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 11735] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 
   12*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11736] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 11737] -> -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 11738] -> 
  4*a^8 - 3*a^10 + a^12 - a^14 + 2*a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 
   2*a^12*z^2 - a^14*z^2 + 3*a^6*z^4 + 13*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 + 
   a^6*z^6 + 3*a^8*z^6, Knot[14, NonAlternating, 11739] -> 
  1 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 11740] -> -4 + 3/a^2 + 3*a^4 - a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 11741] -> 4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   a^6*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 11742] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 - a^4*z^2 - z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[14, NonAlternating, 11743] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 11744] -> 1 + a^2 - 2*a^4 + a^6 - a^4*z^2 + z^4 - 
   3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11745] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11746] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 11747] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 11748] -> 
  -a^2 + 5*a^4 - 3*a^6 + z^2 - 5*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 - 
   4*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - a^8*z^4 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11749] -> 2*a^2 - a^4 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 5*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11750] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 11751] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, 
 Knot[14, NonAlternating, 11752] -> -3 - a^(-4) + 4/a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 11753] -> 
  a^(-2) - a^6 + a^8 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 
   a^2*z^4 + 3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 11754] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + z^4/a^4 + z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 11755] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11756] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - z^4/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 11757] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 3*z^2 - 8*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 5*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11758] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^4 - a^2*z^4 + z^6, Knot[14, NonAlternating, 11759] -> 
  a^2 + a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11760] -> a^2 + 2*a^4 - 2*a^6 - 2*a^8 + 3*a^10 - 
   a^12 + 3*a^2*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 + a^2*z^4 - 
   4*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 11761] -> a^(-2) - a^2 + 2*a^6 - a^8 + z^2 - 
   4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 11762] -> 
  2 - a^(-2) + a^2 - a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 11763] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 3*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 
   a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 11764] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + z^2/a^10 + (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11765] -> 2*a^2 - a^4 - z^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11766] -> a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + a^10*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 + 
   a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 11767] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^6/a^6, Knot[14, NonAlternating, 11768] -> 2 + 2/a^4 - 3/a^2 - a^2 + 
   a^4 + 4*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 11769] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 
   4*z^2 + z^2/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 11770] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11771] -> -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 - 
   z^4/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 11772] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + 
   z^4/a^2 + 17*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 14*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 11773] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   2*a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   8*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 11774] -> -2 + 2/a^4 - 2/a^2 + 4*a^2 - 
   a^4 - 6*z^2 + z^2/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 - 
   z^4/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11775] -> 1 + a^(-6) - 2/a^2 + a^2 + 2*z^2 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 11776] -> 
  2*a^4 - a^6 + a^10 - a^12 + 5*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + 
   2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - a^6*z^6, 
 Knot[14, NonAlternating, 11777] -> 2 - a^(-2) + a^2 - a^4 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11778] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 5*z^2 - 
   10*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - 12*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 + z^6 - 6*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11779] -> -2/a^6 + 3/a^4 + 2*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11780] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 11781] -> 
  -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + (5*z^2)/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11782] -> 1 - a^(-10) + 2/a^6 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11783] -> a^(-2) - a^2 + a^4 + 2*z^2 - 6*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 2*z^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 11784] -> a^6 + 2*a^8 - a^10 - a^12 + 
   4*a^6*z^2 + 9*a^8*z^2 - 2*a^10*z^2 - a^14*z^2 + 4*a^6*z^4 + 9*a^8*z^4 + 
   a^12*z^4 + a^6*z^6 + 2*a^8*z^6, Knot[14, NonAlternating, 11785] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 3*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   6*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 11786] -> 
  -3 - 2/a^6 + 4/a^4 + 2*a^2 - 8*z^2 - z^2/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 9*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 11787] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 11788] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11789] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 8*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11790] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 11791] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + (4*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (6*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11792] -> a^(-12) - 2/a^10 + a^(-6) + a^(-2) + 
   z^2/a^12 - (3*z^2)/a^10 + z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11793] -> 7 - 4/a^2 - a^2 - a^6 + 20*z^2 - 
   (10*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 20*z^4 - (6*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 8*z^6 - z^6/a^2 + a^2*z^6 + a^4*z^6 + z^8, 
 Knot[14, NonAlternating, 11794] -> 5 - a^(-4) - a^(-2) - 2*a^2 + a^4 - a^6 + 
   8*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + a^4*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11795] -> a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 
   4/a^8 - (2*z^2)/a^14 - (4*z^2)/a^12 + (2*z^2)/a^10 + (11*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^12 + (6*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 11796] -> 
  3 - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 5*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 11797] -> 3 - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 
   5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   3*z^4 - z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 11798] -> -6 + a^(-6) - 9/a^4 + 15/a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (19*z^2)/a^4 + (37*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (17*z^4)/a^4 + (41*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 11799] -> 
  5/a^14 - 15/a^12 + 11/a^10 + z^2/a^16 + (2*z^2)/a^14 - (32*z^2)/a^12 + 
   (39*z^2)/a^10 - (3*z^4)/a^14 - (21*z^4)/a^12 + (54*z^4)/a^10 - z^6/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 11800] -> 4/a^10 - 15/a^8 + 16/a^6 - 4/a^4 + 
   (4*z^2)/a^10 - (28*z^2)/a^8 + (42*z^2)/a^6 - (12*z^2)/a^4 + z^4/a^10 - 
   (20*z^4)/a^8 + (45*z^4)/a^6 - (13*z^4)/a^4 - (7*z^6)/a^8 + (26*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 11801] -> 4/a^10 - 15/a^8 + 16/a^6 - 4/a^4 + 
   (4*z^2)/a^10 - (28*z^2)/a^8 + (42*z^2)/a^6 - (12*z^2)/a^4 + z^4/a^10 - 
   (20*z^4)/a^8 + (45*z^4)/a^6 - (13*z^4)/a^4 - (7*z^6)/a^8 + (26*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 11802] -> -2*a^4 + 11*a^6 - 12*a^8 + 5*a^10 - 
   a^12 - 7*a^4*z^2 + 31*a^6*z^2 - 25*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   10*a^4*z^4 + 36*a^6*z^4 - 22*a^8*z^4 + 4*a^10*z^4 - 6*a^4*z^6 + 
   23*a^6*z^6 - 9*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 11803] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 3*z^2 + 
   z^2/a^8 - (9*z^2)/a^6 + (14*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 - (6*z^4)/a^6 + 
   (12*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 11804] -> 
  a^(-16) - 2/a^14 + a^(-12) - 4/a^10 + 5/a^8 - (3*z^2)/a^14 - z^2/a^12 - 
   (2*z^2)/a^10 + (15*z^2)/a^8 - z^4/a^14 - z^4/a^12 + (8*z^4)/a^10 + 
   (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 11805] -> a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 
   2/a^2 - (4*z^2)/a^8 + z^2/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11806] -> -a^2 + 5*a^4 - 4*a^6 + 2*a^8 - a^10 - 
   3*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 11807] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 + (5*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 11808] -> 
  -4*a^2 + 9*a^4 - 2*a^6 - 2*a^8 - 10*a^2*z^2 + 25*a^4*z^2 - 3*a^6*z^2 - 
   3*a^8*z^2 - 6*a^2*z^4 + 22*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   8*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 11809] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 + 7*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - 
   2*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 11810] -> 
  a^(-12) - 6/a^10 + 6/a^8 + (3*z^2)/a^12 - (15*z^2)/a^10 + (19*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^4)/a^12 - (12*z^4)/a^10 + (16*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 - (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 11811] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 11812] -> 
  -1 - a^2 + 7*a^4 - 3*a^6 - a^8 - 3*z^2 + 3*a^2*z^2 + 11*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 + 6*a^4*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 11813] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   3*z^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11814] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + 
   z^2/a^12 - (5*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 11815] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11816] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 3*z^2 + 
   3*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - z^4 + 3*a^2*z^4 + 9*a^4*z^4 - 
   2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 11817] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 6*z^2 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11818] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   z^2/a^12 - (6*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 11819] -> 1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + 
   a^2 - z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - 
   (2*z^4)/a^4 - (2*z^4)/a^2, Knot[14, NonAlternating, 11820] -> 
  1 - a^(-2) + 4*a^4 - 3*a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 + z^4 + 2*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 11821] -> 1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 + 
   z^2 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^2*z^4 - a^4*z^4, 
 Knot[14, NonAlternating, 11822] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 + 
   z^4/a^8 - (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11823] -> a^(-10) - 5/a^8 + 13/a^6 - 16/a^4 + 
   8/a^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (36*z^2)/a^6 - (38*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + (41*z^4)/a^6 - (35*z^4)/a^4 + 
   (6*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 11824] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11825] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 
   6/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (22*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (16*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 11826] -> -7 + 2/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 
   18*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 11827] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (31*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 11828] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (27*z^2)/a^4 + (18*z^2)/a^2 - z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (25*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 11829] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11830] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 
   6/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (22*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (16*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 11831] -> -7 + 2/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 
   18*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 11832] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (31*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 11833] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (27*z^2)/a^4 + (18*z^2)/a^2 - z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (25*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 11834] -> a^(-10) - 4/a^8 + 11/a^6 - 15/a^4 + 
   8/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + (31*z^2)/a^6 - (36*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + (37*z^4)/a^6 - (34*z^4)/a^4 + 
   (6*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 11835] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 + 
   a^2*z^2 - 6*a^4*z^2 + 22*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 11836] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 
   23*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 11837] -> 4 + a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - 
   5/a^2 + 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - 
   (12*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 11838] -> 
  a^2 - a^4 + a^6 + 3*a^8 - 4*a^10 + a^12 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   8*a^8*z^2 - 4*a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - 
   2*a^4*z^6 - 2*a^6*z^6, Knot[14, NonAlternating, 11839] -> 
  3 + a^(-4) - 2/a^2 - 4*a^2 + 5*a^4 - 2*a^6 + 6*z^2 - (2*z^2)/a^2 - 
   11*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11840] -> 3 - 3*a^2 + a^6 + 2*z^2 - 7*a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 11841] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 11842] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 11843] -> 1 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11844] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 2*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 11845] -> 2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^2 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 11846] -> 
  -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) - z^2/a^10 + (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 11847] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 8*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11848] -> 
  2*a^2 - a^4 - 3*z^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 4*z^4 + 
   11*a^2*z^4 - 5*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11849] -> 2 - 2*a^2 + a^4 + z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 - z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11850] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 11851] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 2*z^2 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 - z^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 11852] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - 
   a^4*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 11853] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 11854] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 11855] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 + 
   z^2/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - 10*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11856] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + 2*a^2*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 11857] -> 
  a^2 + a^4 - a^6 + 2*a^2*z^2 + a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 11858] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - (4*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 - 
   z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11859] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 
   10*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (10*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 11860] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11861] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 5*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - 8*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   5*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 11862] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   6*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 11863] -> a^(-2) - a^4 + a^6 + z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11864] -> a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 11865] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 - 13*z^4 + 
   z^4/a^2 + 26*a^2*z^4 - 25*a^4*z^4 + 5*a^6*z^4 - 6*z^6 + 19*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 11866] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 7*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 5*z^4 - z^4/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 11867] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11868] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 - 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 11869] -> -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 
   7*z^2 - (3*z^2)/a^6 + (4*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 11870] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + z^4/a^4 + 
   5*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 11871] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^4 - (4*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 
   3*z^4 - (2*z^4)/a^2 + a^4*z^4 + z^6, Knot[14, NonAlternating, 11872] -> 
  a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 11873] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 
   11*z^2 - z^2/a^4 - (3*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   11*z^4 - z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 11874] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 11875] -> 
  1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 11876] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 11877] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 
   a^2*z^2 + 6*a^4*z^2 - 9*a^6*z^2 + 11*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 
   5*a^4*z^4 - 11*a^6*z^4 + 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 11878] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 
   2*a^2 - 16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 + z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 11879] -> 
  7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 13*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11880] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 
   a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 
   4*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11881] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-2) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^2 + z^4/a^10 + z^4/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11882] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (10*z^2)/a^14 - z^2/a^12 + (18*z^2)/a^10 + (5*z^2)/a^8 - 
   (6*z^4)/a^14 + (3*z^4)/a^12 + (30*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 11883] -> 5 - a^(-4) - a^(-2) - a^2 - 
   a^4 + 10*z^2 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11884] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   z^2/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11885] -> a^(-4) - a^(-2) + a^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 11886] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   5*z^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 11887] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 4*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11888] -> a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + 
   a^(-6) + a^(-4) - (6*z^2)/a^12 + (15*z^2)/a^10 - (10*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (15*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 11889] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11890] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   12*z^2 - z^2/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 11891] -> 
  -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 3*a^4*z^2 + 20*a^6*z^2 - 9*a^8*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 21*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 11892] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 11893] -> -2 + 4*a^2 - a^8 - 3*z^2 + 
   8*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 11894] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11895] -> -3/a^8 + 4/a^6 + z^2/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 11896] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 11897] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 
   4*z^2 - z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 11898] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2 + z^2/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 11899] -> 
  -a^2 + 3*a^4 - a^10 - 2*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 11900] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (3*z^2)/a^14 - (3*z^2)/a^12 + (5*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + (10*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 11901] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11902] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 3*a^4*z^2 + 
   14*a^6*z^2 - 3*a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 11903] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 + (3*z^2)/a^8 + (3*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^8 + z^4/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 11904] -> -3/a^8 + 4/a^6 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 11905] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 11906] -> 
  3*a^6 - a^8 - a^10 + a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 
   4*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11907] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 11908] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 + 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 11909] -> 6 - 3/a^2 - a^2 - a^4 + 12*z^2 - 
   (6*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 11*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11910] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 
   4*a^4*z^2 - 7*a^6*z^2 + 18*a^8*z^2 - 7*a^10*z^2 + 2*a^4*z^4 - 6*a^6*z^4 + 
   16*a^8*z^4 - 4*a^10*z^4 - 2*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 11911] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 + 
   (5*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 11912] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + 
   z^2/a^10 + (7*z^2)/a^8 - (18*z^2)/a^6 + (12*z^2)/a^4 + z^4/a^10 + 
   (3*z^4)/a^8 - (19*z^4)/a^6 + (7*z^4)/a^4 - (8*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 11913] -> 8 - 4/a^2 - 3*a^2 + a^4 - 
   a^6 + 21*z^2 - (10*z^2)/a^2 - 4*a^2*z^2 - a^6*z^2 + 21*z^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 8*z^6 - z^6/a^2 + z^8, Knot[14, NonAlternating, 11914] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 11915] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - 
   a^2 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + z^6, Knot[14, NonAlternating, 11916] -> 
  a^(-12) - 2/a^10 + 2/a^4 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 11917] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 11918] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - (3*z^2)/a^10 + (7*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 11919] -> -2/a^8 + a^(-6) + 3/a^4 - 
   a^(-2) - (4*z^2)/a^8 + (6*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 11920] -> a^2 - a^4 + 4*a^8 - 3*a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 11921] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11922] -> -a^(-10) + a^(-8) + a^(-2) + 
   (2*z^2)/a^8 + (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 11923] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^8 - 
   (5*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 - 
   (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 11924] -> 1 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11925] -> 
  a^4 + a^6 - a^10 - 2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 11926] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 - (2*z^2)/a^14 - (5*z^2)/a^12 + (3*z^2)/a^10 + (14*z^2)/a^8 - 
   z^4/a^12 + (4*z^4)/a^10 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 11927] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 11928] -> 2 - a^(-8) + a^(-6) - a^2 + 5*z^2 + 
   z^2/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11929] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 11930] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - 
   a^2 + 6*z^2 + (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11931] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11932] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 - a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 11933] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-6) - a^(-4) + a^(-2) - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 11934] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^6 - (25*z^4)/a^4 + 
   (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 11935] -> 
  2 - 3*a^2 + 5*a^6 - 3*a^8 + 2*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 11936] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + z^2/a^10 + z^2/a^8 + z^2/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 11937] -> -1 - 3/a^4 + 6/a^2 - 3*a^2 + 
   3*a^4 - a^6 - 7*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 10*z^4 - z^4/a^4 + (10*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 11938] -> 
  -1 + a^(-2) + 3*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 11939] -> -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 11940] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (5*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 11941] -> -a^2 + 5*a^4 - 4*a^6 + 2*a^8 - 
   a^10 - 4*a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - 4*a^2*z^4 + 
   13*a^4*z^4 - 5*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 11942] -> a^(-16) - 2/a^14 + a^(-12) - 4/a^10 + 
   5/a^8 - (2*z^2)/a^14 - (7*z^2)/a^10 + (18*z^2)/a^8 - (2*z^4)/a^10 + 
   (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 11943] -> 
  -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + 3*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 11944] -> 
  2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) + (2*z^2)/a^14 - (13*z^2)/a^12 + 
   (11*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (6*z^4)/a^12 + (12*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 11945] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (2*z^2)/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 11946] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 - (2*z^2)/a^14 - (9*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 - 
   z^4/a^14 - (4*z^4)/a^12 + (17*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 11947] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 11948] -> 2 - a^(-10) + 2/a^8 - a^(-4) - 
   a^(-2) + 3*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11949] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   5*z^4 + z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 11950] -> 3*a^6 - a^8 - a^10 - a^2*z^2 + 
   2*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 11951] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 2*z^2 - 
   z^2/a^4 + 6*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 11952] -> 3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11953] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 
   4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 11954] -> 2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 11955] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 11956] -> 
  -7 + 2/a^6 - 12/a^4 + 18/a^2 - 17*z^2 + (2*z^2)/a^6 - (23*z^2)/a^4 + 
   (44*z^2)/a^2 - 15*z^4 - (17*z^4)/a^4 + (47*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (27*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11957] -> -a^(-16) + 8/a^14 - 18/a^12 + 12/a^10 + 
   z^2/a^16 + (6*z^2)/a^14 - (39*z^2)/a^12 + (42*z^2)/a^10 + z^4/a^16 - 
   (3*z^4)/a^14 - (27*z^4)/a^12 + (56*z^4)/a^10 - (2*z^6)/a^14 - 
   (6*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 11958] -> -3*a^4 + 14*a^6 - 15*a^8 + 6*a^10 - 
   a^12 - 10*a^4*z^2 + 38*a^6*z^2 - 29*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   12*a^4*z^4 + 42*a^6*z^4 - 22*a^8*z^4 + 3*a^10*z^4 - 6*a^4*z^6 + 
   25*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 11959] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   5*z^2 + z^2/a^8 - (10*z^2)/a^6 + (13*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 11960] -> 
  a^(-14) - 2/a^12 - 3/a^10 + 5/a^8 + z^2/a^16 - (2*z^2)/a^14 - 
   (5*z^2)/a^12 + (15*z^2)/a^8 - (2*z^4)/a^14 - (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 11961] -> -a^2 + 4*a^4 - a^6 - a^8 - 3*a^2*z^2 + 
   9*a^4*z^2 - a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 11962] -> 3/a^14 - 9/a^12 + 6/a^10 + a^(-6) + 
   (2*z^2)/a^14 - (15*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   (6*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 11963] -> 
  2 - a^(-10) + a^(-8) + a^(-6) - 2/a^2 + 3*z^2 + (2*z^2)/a^8 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 11964] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 11965] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 11966] -> 3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11967] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 11968] -> 1 - a^(-2) + a^2 + 2*a^4 - 
   2*a^6 + 4*z^2 - (2*z^2)/a^2 + 5*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 11969] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (16*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 11970] -> -7 - 3/a^4 + 8/a^2 + 3*a^2 + a^4 - a^6 - 
   16*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   15*z^4 - z^4/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 11971] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (24*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - (10*z^6)/a^4 + (19*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 11972] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 11973] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   2*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 11974] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2 - z^2/a^8 - (2*z^2)/a^6 + 
   (10*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 11975] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11976] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 11977] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 11978] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 11979] -> -4 + 2/a^2 + 3*a^2 + 2*a^4 - 3*a^6 + 
   a^8 - 9*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   6*z^4 + z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - z^6 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 11980] -> -4 + 2/a^2 + 3*a^2 + 2*a^4 - 
   3*a^6 + a^8 - 9*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 6*z^4 + z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - z^6 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 11981] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 - 3*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 11982] -> -3 + 11*a^2 - 10*a^4 + 3*a^6 - 
   5*z^2 + 20*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 13*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11983] -> -4 + a^(-4) - a^(-2) + 9*a^2 - 4*a^4 - 
   7*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 11984] -> -8 + 2/a^2 + 14*a^2 - 9*a^4 + 2*a^6 - 
   20*z^2 + (5*z^2)/a^2 + 29*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 11985] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 11986] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 11987] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11988] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   7*a^4*z^2 - 4*a^6*z^2 - 5*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   5*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 11989] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   4*z^2 + z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 2*z^4 + 3*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 11990] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 11991] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 11992] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 11993] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 11994] -> a^2 + 2*a^4 - 3*a^6 + 2*a^10 - a^12 + 
   2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 11995] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   a^2*z^4, Knot[14, NonAlternating, 11996] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 11997] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 11998] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2 - 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 11999] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - a^2*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 
   2*a^6*z^6, Knot[14, NonAlternating, 12000] -> 
  1 + a^2 - 2*a^4 + a^6 - a^4*z^2 - z^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 12001] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 12002] -> 
  3 - a^(-2) - a^2 + 2*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12003] -> -3 + 2/a^2 + 2*a^2 - z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12004] -> a^2 + a^4 - 2*a^8 + a^10 + a^2*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 12005] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   z^4 + (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12006] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12007] -> -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12008] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12009] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   7*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 12010] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 12011] -> 
  3*a^4 - 2*a^6 - 2*a^2*z^2 + 7*a^4*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 12012] -> 1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 8*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12013] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 11*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 5*a^4*z^4 + 
   20*a^6*z^4 - 25*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 17*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 12014] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12015] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 12016] -> 
  2*a^2 - a^4 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   7*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 12017] -> 2 + a^(-4) - 2/a^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 12018] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12019] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12020] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 4*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 12021] -> 3 - a^(-2) - a^2 + 3*z^2 - 
   z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - z^4 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12022] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   8*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 12023] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   z^2 + 6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 + 2*a^2*z^4 - 
   8*a^4*z^4 + 4*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 12024] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12025] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   5*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12026] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12027] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 12028] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12029] -> a^(-2) - a^2 + a^4 - 4*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12030] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12031] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 12032] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 6*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   2*a^4*z^6, Knot[14, NonAlternating, 12033] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 12034] -> -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 12035] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12036] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 22*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 12037] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12038] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12039] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 12040] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 12041] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + 
   a^8 - 2*z^2 + z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12042] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 12043] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12044] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12045] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 12046] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 12047] -> -a^(-10) + 3/a^6 - 3/a^4 + 
   2/a^2 + (10*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^8 + 
   (10*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 12048] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 4*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12049] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   5*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 12050] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (15*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 12051] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   3*z^4 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12052] -> 3 - a^(-4) + a^(-2) - 3*a^2 + 
   a^4 + 9*z^2 - z^2/a^4 - z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   10*z^4 - z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 12053] -> a^2 - 2*a^4 + 3*a^6 + a^8 - 
   2*a^10 + a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - 
   a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12054] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 12055] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 8*z^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 7*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12056] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12057] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 5*a^4*z^2 + 21*a^6*z^2 - 6*a^8*z^2 - 
   a^10*z^2 - 4*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - a^4*z^6 + 7*a^6*z^6 - 
   a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 12058] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 + (2*z^4)/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 12059] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 12060] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   z^2/a^16 - (4*z^2)/a^14 - (14*z^2)/a^12 + (26*z^2)/a^10 + (4*z^2)/a^8 - 
   (4*z^4)/a^14 - (6*z^4)/a^12 + (33*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 12061] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + 
   a^6 + 4*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 12062] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12063] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 
   2*a^2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12064] -> 2 + a^(-8) - a^(-6) - a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2, Knot[14, NonAlternating, 12065] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^6 + (2*z^2)/a^4 - a^2*z^2 + z^4 + 
   z^4/a^4 + z^4/a^2, Knot[14, NonAlternating, 12066] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (3*z^2)/a^14 - (3*z^2)/a^12 + 
   (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 12067] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 12068] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 3*z^2 - z^2/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 12069] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - (7*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 12070] -> -a^(-12) + 3/a^10 - 2/a^8 - 
   2/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4, 
 Knot[14, NonAlternating, 12071] -> 2*a^4 - 5*a^6 + 9*a^8 - 5*a^10 + 
   5*a^4*z^2 - 11*a^6*z^2 + 24*a^8*z^2 - 9*a^10*z^2 + 2*a^4*z^4 - 8*a^6*z^4 + 
   20*a^8*z^4 - 5*a^10*z^4 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 12072] -> -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 + 
   z^2/a^10 + (10*z^2)/a^8 - (25*z^2)/a^6 + (15*z^2)/a^4 + (3*z^4)/a^10 + 
   (2*z^4)/a^8 - (26*z^4)/a^6 + (10*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (12*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^8 - (2*z^8)/a^6, 
 Knot[14, NonAlternating, 12073] -> 9 - 4/a^2 - 5*a^2 + 2*a^4 - a^6 + 
   23*z^2 - (10*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 21*z^4 - 
   (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 8*z^6 - z^6/a^2 + 
   a^4*z^6 + z^8, Knot[14, NonAlternating, 12074] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + a^2*z^2 + 3*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 - 
   a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12075] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 
   2/a^2 + z^2/a^10 + (5*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 12076] -> 
  4 - a^(-4) - 3*a^2 + 2*a^4 - a^6 + 6*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   a^4*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 12077] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 3*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12078] -> -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - 
   a^(-2) - z^2 + (7*z^2)/a^4 - z^4 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12079] -> a^2 - a^4 - a^6 + 6*a^8 - 4*a^10 + 
   3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 6*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12080] -> a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 
   z^2 - a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + a^8*z^4, Knot[14, NonAlternating, 12081] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 12082] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12083] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 2*z^2 + (6*z^2)/a^8 - 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 12084] -> 
  3*a^6 - a^8 - a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 - 
   a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6, Knot[14, NonAlternating, 12085] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (2*z^2)/a^14 - (6*z^2)/a^12 + 
   (7*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - z^4/a^12 + (8*z^4)/a^10 + 
   (12*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 12086] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 + (4*z^4)/a^8 + 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 12087] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12088] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   4*z^2 - z^2/a^2 + a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 12089] -> 3*a^6 - a^8 - a^10 - a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12090] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 
   4/a^2 + (7*z^2)/a^8 - (7*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 12091] -> 
  -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 12092] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 
   10*z^2 - z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 4*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 12093] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 
   2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 12094] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + (7*z^2)/a^8 - (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 + (2*z^4)/a^8 - (10*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 12095] -> -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 12096] -> a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 - 
   (2*z^2)/a^14 - (2*z^2)/a^12 + z^2/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 12097] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12098] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   4*z^2 - z^2/a^2 + a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 12099] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 12100] -> 2/a^8 - 6/a^6 + 5/a^4 - z^2/a^12 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - 
   (17*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^10 - (11*z^6)/a^8 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, NonAlternating, 12101] -> 
  3 - a^(-2) - a^2 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   6*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 12102] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 + a^2*z^4 - 7*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12103] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   7*z^2 - z^2/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + (23*z^2)/a^2 - 9*z^4 + 
   (6*z^4)/a^6 - (26*z^4)/a^4 + (30*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12104] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 3*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 12105] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 12106] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12107] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12108] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (7*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 12109] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 12110] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (21*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^4 + (6*z^4)/a^10 - (24*z^4)/a^8 + (27*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^10 - (12*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 12111] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 6*z^2 + 21*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 17*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 12112] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 12113] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 12114] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) - z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 12115] -> a^(-2) - a^2 + a^4 + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12116] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 12117] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 5*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 12118] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 12119] -> 
  3*a^2 - 5*a^4 + 3*a^6 + 3*a^8 - 4*a^10 + a^12 + 7*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12120] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + 
   a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12121] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 - a^2*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 12122] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 10*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 12123] -> 
  4 + a^(-10) - 3/a^8 + 5/a^6 - 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12124] -> -2*a^2 + 7*a^4 - 4*a^6 + z^2 - 
   6*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 11*a^4*z^4 - 
   2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12125] -> -4 + 2/a^2 + 2*a^2 + 4*a^4 - 4*a^6 + 
   a^8 - 9*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 
   6*z^4 + z^4/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + a^2*z^6 + 
   2*a^4*z^6, Knot[14, NonAlternating, 12126] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 - z^6, Knot[14, NonAlternating, 12127] -> 
  -1 + a^(-10) - 2/a^8 + 2/a^6 - a^(-2) + 2*a^2 - 4*z^2 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12128] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 12129] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 
   2*a^4 + 8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 12130] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^4 + 5*a^2*z^2 - a^4*z^2 - 5*z^4 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 12131] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12132] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - 
   a^4 + a^6 - z^2 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + 
   z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 12133] -> 
  2*a^2 - a^4 + 2*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 12134] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^6 - 
   (6*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 12135] -> -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12136] -> a^2 + a^4 - a^6 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 12137] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 12138] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 + z^4 - 
   4*a^2*z^4 + 2*a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12139] -> 1 - 2*a^2 + 3*a^4 - a^8 + a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 12140] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 12141] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12142] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 
   2*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12143] -> -3 + 3/a^2 - a^2 + 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12144] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 12145] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12146] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12147] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 12148] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^6 - z^2/a^4 + z^2/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 12149] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 12150] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 12151] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12152] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 2*a^2*z^4, 
 Knot[14, NonAlternating, 12153] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12154] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 12155] -> 1 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 12156] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   8*z^4 + z^4/a^4 + z^4/a^2 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 12157] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 12158] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 
   2*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 12159] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + a^2*z^2 - 
   3*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 10*a^6*z^4 - 
   5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 12160] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12161] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 12162] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 
   a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12163] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (5*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^10 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (6*z^4)/a^4 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 12164] -> 3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   8*a^6*z^2 - 2*a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 6*a^6*z^4 + a^8*z^4 + 
   3*a^10*z^4 + a^6*z^6, Knot[14, NonAlternating, 12165] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 12166] -> a^2 - a^4 + 4*a^6 - 4*a^8 + 
   a^10 + 2*a^2*z^2 - 6*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 
   2*a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   4*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12167] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 7*a^2*z^2 - 18*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 12168] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 12169] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 12170] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 6*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 9*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12171] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - z^4 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12172] -> 1 + a^2 - 2*a^4 + a^6 + a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 12173] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 17*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 12174] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12175] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12176] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 12177] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 12178] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12179] -> 2 - 2*a^2 + 2*a^6 - a^8 + a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 6*a^2*z^4 - 5*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12180] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12181] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12182] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   2*z^2 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, Knot[14, NonAlternating, 12183] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 12184] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - z^2 + a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 12185] -> 1 - a^2 + 2*a^4 - a^6 + z^2/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 6*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12186] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 12187] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 + z^4 + 3*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12188] -> 1 - 4*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 12189] -> 
  -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 12190] -> -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 12191] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12192] -> -2*a^6 + 9*a^8 - 6*a^10 - 7*a^6*z^2 + 
   36*a^8*z^2 - 17*a^10*z^2 - 11*a^6*z^4 + 50*a^8*z^4 - 17*a^10*z^4 - 
   6*a^6*z^6 + 31*a^8*z^6 - 7*a^10*z^6 - a^6*z^8 + 9*a^8*z^8 - a^10*z^8 + 
   a^8*z^10, Knot[14, NonAlternating, 12193] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (13*z^2)/a^8 - (30*z^2)/a^6 + (17*z^2)/a^4 + 
   (16*z^4)/a^8 - (45*z^4)/a^6 + (17*z^4)/a^4 + (7*z^6)/a^8 - (30*z^6)/a^6 + 
   (7*z^6)/a^4 + z^8/a^8 - (9*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 12194] -> 9 - 4/a^2 - 4*a^2 + 32*z^2 - 
   (14*z^2)/a^2 - 14*a^2*z^2 + 46*z^4 - (16*z^4)/a^2 - 16*a^2*z^4 + 30*z^6 - 
   (7*z^6)/a^2 - 7*a^2*z^6 + 9*z^8 - z^8/a^2 - a^2*z^8 + z^10, 
 Knot[14, NonAlternating, 12195] -> -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 
   2*a^4*z^2 + 7*a^6*z^2 + 14*a^8*z^2 - 8*a^10*z^2 - 3*a^4*z^4 + 9*a^6*z^4 + 
   14*a^8*z^4 - 5*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 12196] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (7*z^2)/a^8 - (12*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 + (5*z^4)/a^8 - (13*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 12197] -> 4 - a^(-4) - 2*a^2 + 12*z^2 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 13*z^4 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 12198] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 5*a^4*z^2 + 17*a^6*z^2 + 3*a^8*z^2 - 
   5*a^10*z^2 - 4*a^4*z^4 + 15*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 12199] -> a^(-8) - 4/a^4 + 4/a^2 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 12200] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - (5*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 12201] -> 
  3/a^16 - 12/a^14 + 10/a^12 + (7*z^2)/a^16 - (52*z^2)/a^14 + (63*z^2)/a^12 + 
   (5*z^4)/a^16 - (73*z^4)/a^14 + (131*z^4)/a^12 + z^6/a^16 - (43*z^6)/a^14 + 
   (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 12202] -> 
  2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 + (3*z^2)/a^16 - (26*z^2)/a^14 + 
   (23*z^2)/a^12 + (17*z^2)/a^10 + z^4/a^16 - (25*z^4)/a^14 + (38*z^4)/a^12 + 
   (36*z^4)/a^10 - (9*z^6)/a^14 + (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 12203] -> a^(-16) - 4/a^14 + 4/a^10 + 
   (2*z^2)/a^16 - (16*z^2)/a^14 + (6*z^2)/a^12 + (24*z^2)/a^10 + z^4/a^16 - 
   (19*z^4)/a^14 + (21*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + 
   (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 12204] -> 
  3/a^16 - 11/a^14 + 8/a^12 + a^(-10) + (4*z^2)/a^16 - (31*z^2)/a^14 + 
   (29*z^2)/a^12 + (15*z^2)/a^10 + z^4/a^16 - (27*z^4)/a^14 + (42*z^4)/a^12 + 
   (35*z^4)/a^10 - (9*z^6)/a^14 + (29*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 12205] -> 10 - 4/a^2 - 6*a^2 + a^4 + 25*z^2 - 
   (10*z^2)/a^2 - 13*a^2*z^2 + a^4*z^2 + 22*z^4 - (6*z^4)/a^2 - 7*a^2*z^4 + 
   8*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 12206] -> 
  4/a^8 - 10/a^6 + 7/a^4 + (3*z^2)/a^10 + (7*z^2)/a^8 - (28*z^2)/a^6 + 
   (17*z^2)/a^4 + (4*z^4)/a^10 - z^4/a^8 - (29*z^4)/a^6 + (11*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (13*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^8 - 
   (2*z^8)/a^6, Knot[14, NonAlternating, 12207] -> 
  2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + z^2/a^16 - (13*z^2)/a^14 + 
   (6*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 - (7*z^4)/a^14 + 
   (10*z^4)/a^12 + (26*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12208] -> 5 - a^(-4) - 4*a^2 + a^4 + 7*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 12209] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + (2*z^2)/a^10 + (3*z^2)/a^8 - (11*z^2)/a^6 - 
   z^2/a^4 + (5*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (10*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 12210] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   z^2/a^16 - (9*z^2)/a^14 + (17*z^2)/a^10 + (6*z^2)/a^8 - (6*z^4)/a^14 + 
   (6*z^4)/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12211] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 12212] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + 
   z^2/a^10 + (4*z^2)/a^8 - (8*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 12213] -> 
  a^(-16) - 4/a^14 + 4/a^10 + z^2/a^16 - (11*z^2)/a^14 + (3*z^2)/a^12 + 
   (19*z^2)/a^10 + (4*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (26*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12214] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^6 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^6 + (10*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 12215] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (3*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 12216] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - (5*z^2)/a^14 - z^2/a^12 + 
   (12*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^14 + (3*z^4)/a^12 + 
   (12*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 12217] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 2*z^4 + z^4/a^4 + (3*z^4)/a^2, 
 Knot[14, NonAlternating, 12218] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + z^2 + 
   z^2/a^10 + (2*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 12219] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 
   2*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 12220] -> 2 + a^(-8) - a^(-6) - a^(-2) + 
   3*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 12221] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12222] -> a^(-16) - 5/a^14 + 4/a^12 - a^(-10) + 
   2/a^8 + z^2/a^16 - (12*z^2)/a^14 + (13*z^2)/a^12 + (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (7*z^4)/a^14 + (15*z^4)/a^12 + (9*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 12223] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 - (5*z^2)/a^14 + (3*z^2)/a^12 + 
   (6*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + (4*z^4)/a^12 + 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 12224] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   2*a^2*z^2 + z^4 + z^4/a^4 + z^4/a^2, Knot[14, NonAlternating, 12225] -> 
  2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 + z^2/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2, Knot[14, NonAlternating, 12226] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12227] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - z^4 + 11*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 12228] -> -3*a^4 + 10*a^6 - 6*a^8 - 9*a^4*z^2 + 
   31*a^6*z^2 - 13*a^8*z^2 - 8*a^4*z^4 + 31*a^6*z^4 - 9*a^8*z^4 - 2*a^4*z^6 + 
   13*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 12229] -> 
  4/a^6 - 9/a^4 + 6/a^2 + (12*z^2)/a^6 - (28*z^2)/a^4 + (13*z^2)/a^2 + 
   (9*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - (13*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 12230] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 12231] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12232] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 - 
   (7*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (5*z^4)/a^4 + 
   (21*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 12233] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 
   2*a^2 - 5*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 12234] -> 2/a^14 - 9/a^12 + 8/a^10 + 
   (3*z^2)/a^14 - (24*z^2)/a^12 + (30*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^14 - 
   (18*z^4)/a^12 + (37*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12235] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 + a^2*z^2 - 
   4*a^4*z^2 + 14*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 - 2*a^4*z^4 + 9*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12236] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   31*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (36*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 + 
   z^4/a^6 - (18*z^4)/a^4 + (43*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (26*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12237] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   2*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   11*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 12238] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 12239] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12240] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 8*z^2 - 
   z^2/a^2 + 25*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 27*a^2*z^4 - 
   13*a^4*z^4 + a^6*z^4 - 2*z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 12241] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 25*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 26*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 12242] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 - (22*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 12243] -> -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 - 
   z^2/a^12 + (13*z^2)/a^10 - (38*z^2)/a^8 + (36*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^4)/a^10 - (35*z^4)/a^8 + (44*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^10 - 
   (14*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 12244] -> 
  -2 + a^(-2) + 2*a^2 + 2*a^4 - 3*a^6 + a^8 - 6*z^2 + (3*z^2)/a^2 + a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 - z^6 + a^4*z^6, Knot[14, NonAlternating, 12245] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 12*z^2 - (5*z^2)/a^2 - 11*a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 + 11*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12246] -> 2*a^4 - 3*a^6 + 3*a^8 + a^10 - 2*a^12 + 
   7*a^4*z^2 - 6*a^6*z^2 + 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   6*a^6*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 12247] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 
   4*z^2 + z^2/a^4 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - z^4/a^2 + 
   a^4*z^4, Knot[14, NonAlternating, 12248] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12249] -> 2*a^4 - 3*a^6 + 4*a^8 - a^10 - a^12 + 
   2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 - 
   3*a^6*z^4 - a^8*z^4, Knot[14, NonAlternating, 12250] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 + z^2/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + z^4/a^4 + z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 12251] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   5*z^2 + z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12252] -> -a^(-10) - a^(-8) + 4/a^6 - 2/a^4 + 
   a^(-2) - z^2/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 + (2*z^4)/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 12253] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12254] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^4 - 4*a^2*z^2 + 9*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 12255] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 14*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 12256] -> 3 - a^(-2) - a^2 + 9*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12257] -> 2*a^4 - a^8 + 2*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 12258] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12259] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^4 + 4*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 12260] -> 2 - 2*a^2 + a^4 + 5*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 + a^4*z^4 + 
   z^6, Knot[14, NonAlternating, 12261] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^4 - 
   z^4/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 12262] -> 
  1 + 4*z^2 - (3*z^2)/a^2 - a^6*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 + 
   z^6, Knot[14, NonAlternating, 12263] -> 2*a^2 - a^4 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 12264] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + z^4 - 3*a^2*z^4 + 
   4*a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12265] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   7*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 2*z^6, Knot[14, NonAlternating, 12266] -> 
  -1 + 2/a^6 - 4/a^4 + 4/a^2 - 2*a^2 + 2*a^4 - 3*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - z^4 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12267] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 12268] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - 
   (3*z^2)/a^2 - a^4*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12269] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^4 - 7*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 6*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 12270] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12271] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   8*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12272] -> 1 + 5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 12273] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12274] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12275] -> 3 - a^(-2) - a^2 + 4*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12276] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + z^4/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12277] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 
   a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12278] -> -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 12279] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   4*z^4 + z^4/a^4 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12280] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 12281] -> 
  -3 + 11*a^2 - 10*a^4 + 3*a^6 - 5*z^2 + 20*a^2*z^2 - 20*a^4*z^2 + 
   6*a^6*z^2 - 2*z^4 + 13*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12282] -> 
  -4 + a^(-4) - a^(-2) + 9*a^2 - 4*a^4 - 7*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 12283] -> 
  -8 + 2/a^2 + 14*a^2 - 9*a^4 + 2*a^6 - 20*z^2 + (5*z^2)/a^2 + 29*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 12284] -> -1 + 2/a^2 - a^2 + a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12285] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   16*z^2 + (6*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12286] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12287] -> 1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   z^2 - 2*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - z^4 - a^2*z^4 + 
   3*a^4*z^4 - 5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 12288] -> 4 + a^(-6) - a^(-4) - a^(-2) - 4*a^2 + 
   2*a^4 + 9*z^2 - z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 10*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 12289] -> a^(-4) - a^2 + a^6 - 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 12290] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - 3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 12291] -> -a^(-4) + 2/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 12292] -> 1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12293] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 + (7*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 12294] -> 
  5 - 2/a^2 - 2*a^2 + 5*z^2 - (2*z^2)/a^2 - a^4*z^2 - z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12295] -> -a^(-4) + 2/a^2 + 2*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12296] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 12297] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12298] -> 3 + a^(-6) - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 12299] -> 
  -a^4 + 4*a^6 - 2*a^10 - 3*a^4*z^2 + 11*a^6*z^2 + 7*a^8*z^2 - 6*a^10*z^2 - 
   3*a^4*z^4 + 11*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 12300] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - z^4 + 4*a^2*z^4 - 3*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 12301] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   9*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12302] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 12303] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - 
   (3*z^2)/a^12 + (7*z^2)/a^8 + (5*z^2)/a^6 + z^4/a^12 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - z^6/a^8 + (2*z^6)/a^6 - z^8/a^10 - 
   z^8/a^8, Knot[14, NonAlternating, 12304] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12305] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 
   2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^4 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 12306] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12307] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - (5*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   9*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 12308] -> 
  1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 12309] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 12310] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 3*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 4*z^4 + 
   6*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 12311] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (2*z^2)/a^10 + (5*z^2)/a^8 - (20*z^2)/a^6 + 
   (13*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - (20*z^4)/a^6 + (7*z^4)/a^4 - 
   (8*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 12312] -> 
  9 - 4/a^2 - 4*a^2 + 22*z^2 - (10*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 
   21*z^4 - (6*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 8*z^6 - z^6/a^2 + z^8, 
 Knot[14, NonAlternating, 12313] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^4 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 12314] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 - 
   z^2/a^2 + 6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 12315] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 12316] -> 4 - a^(-4) - 2*a^2 + 8*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 6*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6 + z^6/a^2, Knot[14, NonAlternating, 12317] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + z^4 - z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 12318] -> 
  -2 + 6*a^2 - 3*a^4 - 2*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 12319] -> -2 + 5*a^2 - 2*a^4 + a^6 - 
   a^8 - 3*z^2 + 11*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   8*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12320] -> 
  4 + 3/a^4 - 6/a^2 + 6*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (13*z^2)/a^2 + 
   4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 12321] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 + 
   z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12322] -> 2 - a^(-2) + a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12323] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 12324] -> 
  2 - a^(-2) + a^6 - a^8 + 4*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12325] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12326] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 13*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 11*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 12327] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 
   6*z^2 + z^2/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 12328] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   21*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12329] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (25*z^2)/a^4 + (15*z^2)/a^2 - z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 12330] -> 4/a^6 - 9/a^4 + 6/a^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (20*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - 
   (14*z^4)/a^8 + (31*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + 
   (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 12331] -> 
  -a^4 + 6*a^6 - 4*a^8 - 3*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12332] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^14 - (12*z^2)/a^12 + (15*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^12 + (15*z^4)/a^10 - z^4/a^8 + (7*z^4)/a^6 + (4*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 12333] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 12334] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2 - z^2/a^2 + a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + a^6*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 12335] -> a^(-14) - 3/a^12 - a^(-10) + 
   4/a^8 - (4*z^2)/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[14, NonAlternating, 12336] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (8*z^2)/a^12 + (25*z^2)/a^10 + (3*z^2)/a^8 - (6*z^4)/a^14 + 
   (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12337] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 - z^4/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 12338] -> 
  a^(-8) - 4/a^4 + 4/a^2 + z^2/a^10 + z^2/a^8 - z^2/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 12339] -> 
  4 + 3/a^4 - 6/a^2 + 5*z^2 + z^2/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - (8*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12340] -> -2*a^2 + 7*a^4 - 4*a^6 + 2*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 12341] -> a^(-12) - 3/a^10 + 3/a^6 + 
   z^2/a^14 - (4*z^2)/a^12 + (2*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 - 
   (3*z^4)/a^12 + (7*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 12342] -> 
  -2*a^2 + 7*a^4 - 4*a^6 + 5*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 15*a^4*z^2 - 
   5*a^6*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 12343] -> 
  -a^(-12) + 7/a^10 - 13/a^8 + 7/a^6 + a^(-4) - z^2/a^12 + (12*z^2)/a^10 - 
   (30*z^2)/a^8 + (22*z^2)/a^6 - (2*z^2)/a^4 + (7*z^4)/a^10 - (29*z^4)/a^8 + 
   (28*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12344] -> -3 + 3/a^6 - 10/a^4 + 11/a^2 - 5*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (23*z^2)/a^4 + (21*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 12345] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 22*z^2 + z^2/a^8 - (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + 
   (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (12*z^6)/a^2 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[14, NonAlternating, 12346] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   7*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12347] -> a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 
   4/a^6 - (5*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^4)/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 12348] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (10*z^2)/a^8 + 
   (25*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 - (6*z^4)/a^8 + (26*z^4)/a^6 - 
   (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12349] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 12350] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (22*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (20*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 12351] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 12352] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 + z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 12353] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 5*z^2 - z^2/a^4 - 6*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 12354] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (4*z^2)/a^10 - (11*z^2)/a^8 + 
   (14*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 12355] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 + z^2/a^14 - (8*z^2)/a^12 + (10*z^2)/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (4*z^4)/a^12 + (12*z^4)/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 + 
   (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 12356] -> 1 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12357] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 12358] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12359] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - (5*z^4)/a^8 + (18*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 12360] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 + (5*z^4)/a^6 - (19*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 12361] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 - z^4 + (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12362] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12363] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   5*z^2 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   5*a^2*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 12364] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   2*z^2 - z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12365] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12366] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 12367] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 12368] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + 
   a^6 + 6*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12369] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 12370] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (15*z^2)/a^10 - (22*z^2)/a^8 + (10*z^2)/a^6 + 
   (4*z^2)/a^4 + (11*z^4)/a^10 - (24*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 12371] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12372] -> a^2 + a^4 - 2*a^8 + a^10 + 
   2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 12373] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12374] -> 2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12375] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 2*z^4 + (3*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 12376] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 12377] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12378] -> a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12379] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   6*z^2 + z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12380] -> a^2 + a^6 - a^8 + 3*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 12381] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12382] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12383] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 12384] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 
   2*a^8 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - a^2*z^4 + 
   a^6*z^4, Knot[14, NonAlternating, 12385] -> 2*a^6 + a^10 - 3*a^12 + a^14 + 
   7*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - 4*a^12*z^2 + a^4*z^4 + 5*a^6*z^4 + 
   a^8*z^4 + 4*a^10*z^4 - a^8*z^6, Knot[14, NonAlternating, 12386] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 5*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (11*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12387] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 12388] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 
   3/a^4 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12389] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12390] -> -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 
   2*a^8 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 12391] -> a^4 + a^8 + a^10 - 3*a^12 + a^14 + 
   2*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 5*a^10*z^2 - 4*a^12*z^2 + a^4*z^4 + 
   3*a^6*z^4 + 4*a^10*z^4 - a^8*z^6, Knot[14, NonAlternating, 12392] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - 
   (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12393] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   2*z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 12394] -> 
  4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 5*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (12*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12395] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   8*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 12396] -> 
  -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 8*z^2 + z^2/a^2 + 17*a^2*z^2 - 
   19*a^4*z^2 + 6*a^6*z^2 - 3*z^4 + 12*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12397] -> 3 + a^(-4) - 2/a^2 - 3*a^4 + 2*a^6 + 
   4*z^2 - (3*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12398] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 12399] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 
   2*a^6 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 17*a^4*z^2 + 6*a^6*z^2 - 3*z^4 + 
   11*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12400] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12401] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12402] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 
   7*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12403] -> 2 - 2*a^2 + a^4 - 2*z^2 + 
   z^2/a^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 12404] -> 2*a^2 - a^4 - 4*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 12405] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12406] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 12407] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12408] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 6*a^2*z^4 - a^4*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 12409] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12410] -> 2*a^4 - a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 
   11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 18*a^6*z^4 - 
   6*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 12411] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12412] -> a^(-10) - 3/a^8 + 7/a^6 - 10/a^4 + 
   6/a^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (23*z^2)/a^6 - (29*z^2)/a^4 + 
   (11*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (32*z^4)/a^6 - (32*z^4)/a^4 + 
   (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12413] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 12414] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 3*z^2 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12415] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12416] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 4*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12417] -> 
  4*a^6 - 3*a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   4*a^2*z^4 - 14*a^4*z^4 + 19*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 12418] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   5*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12419] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   8*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12420] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 12*a^4*z^4 + 
   5*a^6*z^4 - 3*z^6 + 8*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 12421] -> 
  1 - a^2 + 4*a^6 - 4*a^8 + a^10 + z^2 - 2*a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 
   2*a^6*z^6, Knot[14, NonAlternating, 12422] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12423] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 12424] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + z^4/a^8 + z^4/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 12425] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, NonAlternating, 12426] -> -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 
   2*a^2*z^2 + 4*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 12427] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 12428] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - 
   a^8 - 2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   7*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12429] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 12430] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - (6*z^4)/a^8 + (19*z^4)/a^6 - 
   (15*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12431] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 35*z^4 - 
   z^4/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - a^4*z^4 - 24*z^6 + (7*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 12432] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 12433] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (6*z^2)/a^12 + (16*z^2)/a^10 - 
   (17*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - (20*z^4)/a^8 + 
   (13*z^4)/a^6 + (3*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 12434] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 12435] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 12436] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + 5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 12437] -> -a^(-4) + 2/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, Knot[14, NonAlternating, 12438] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + z^2/a^10 - (6*z^2)/a^8 + (21*z^2)/a^6 - 
   (27*z^2)/a^4 + (11*z^2)/a^2 - (5*z^4)/a^8 + (22*z^4)/a^6 - (34*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (21*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12439] -> -a^4 + 5*a^6 - 2*a^8 - a^10 + 9*a^6*z^2 + 
   a^8*z^2 - 2*a^10*z^2 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 12440] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   z^2 + 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 12441] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - 
   z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 12442] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 
   8/a^2 - 8*z^2 - z^2/a^8 + (9*z^2)/a^6 - (23*z^2)/a^4 + (25*z^2)/a^2 - 
   9*z^4 + (6*z^4)/a^6 - (25*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12443] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   2*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   7*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12444] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 12445] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12446] -> -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12447] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   4*z^2 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 12448] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12449] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12450] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   8*z^2 - z^2/a^8 + (9*z^2)/a^6 - (24*z^2)/a^4 + (24*z^2)/a^2 - 9*z^4 + 
   (6*z^4)/a^6 - (25*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12451] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) + (5*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 12452] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 12453] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12454] -> -6 - a^(-6) + 2/a^4 + 2/a^2 + 
   5*a^2 - a^4 - 18*z^2 - z^2/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + (5*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^4 - (4*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 12455] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 7*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12456] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   6*z^2 + z^2/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12457] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 12458] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 12459] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12460] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 2*z^2 + 
   5*a^2*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 5*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12461] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (28*z^2)/a^14 + (21*z^2)/a^12 + (18*z^2)/a^10 + z^4/a^16 - 
   (26*z^4)/a^14 + (37*z^4)/a^12 + (36*z^4)/a^10 - (9*z^6)/a^14 + 
   (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 12462] -> 
  2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 12463] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (12*z^2)/a^14 + 
   (4*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12464] -> 3 - 4*a^2 + 2*a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + z^4/a^4 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 12465] -> 2/a^16 - 5/a^14 - a^(-12) + 
   5/a^10 + z^2/a^16 - (12*z^2)/a^14 + (2*z^2)/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + (26*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 12466] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 + a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 
   3*z^4 - 4*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 12467] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (5*z^2)/a^14 - (2*z^2)/a^12 + 
   (11*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^14 + (3*z^4)/a^12 + 
   (12*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 12468] -> 
  2 - 3*a^4 + 2*a^6 + 2*z^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12469] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 
   10*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12470] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 3*z^2 + 
   6*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 12471] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^4 + z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 12472] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   4*z^2 - z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 12473] -> 2*a^4 - a^8 + 2*z^2 - 2*a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 12474] -> 
  -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 3*z^2 + 11*a^2*z^2 - 9*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12475] -> 2 - a^(-2) - a^2 + 2*a^4 - a^8 + 4*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12476] -> a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 
   3/a^4 + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^10 + z^4/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 12477] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 12478] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12479] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12480] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (7*z^2)/a^14 - (7*z^2)/a^12 + (22*z^2)/a^10 + 
   (4*z^2)/a^8 - (6*z^4)/a^14 + (33*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 12481] -> -a^(-10) - a^(-8) + 3/a^6 - 
   z^2/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 + (4*z^4)/a^10 - 
   (7*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 12482] -> -2 + 3*a^2 + 2*a^4 - a^6 - 
   a^8 - 5*z^2 + 10*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   11*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12483] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (7*z^2)/a^14 - 
   (9*z^2)/a^12 + (25*z^2)/a^10 + (3*z^2)/a^8 - (6*z^4)/a^14 + 
   (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12484] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12485] -> -3 + 8*a^2 - 5*a^4 + 2*a^6 - 
   a^8 - 5*z^2 + 16*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   12*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12486] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 - z^2/a^12 + (9*z^2)/a^10 - (17*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 + (8*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 12487] -> -2 + 4*a^2 - a^8 - 2*z^2 + 
   7*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 12488] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   z^4/a^4 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 12489] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12490] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 12491] -> 
  -a^(-8) + 7/a^6 - 12/a^4 + 7/a^2 + z^2/a^10 - (7*z^2)/a^8 + (21*z^2)/a^6 - 
   (28*z^2)/a^4 + (10*z^2)/a^2 - (6*z^4)/a^8 + (24*z^4)/a^6 - (32*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12492] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 12493] -> 
  2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + z^2/a^10 - (14*z^2)/a^8 + (29*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (25*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 12494] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 15*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 4*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 12495] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 12496] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - 
   a^8 - 6*z^2 + 19*a^2*z^2 - 17*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 12497] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 
   7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 12498] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 6*a^2*z^2 - 13*a^4*z^2 + 
   16*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   11*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 12499] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 
   4*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12500] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 
   13*z^4 + z^4/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 
   19*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 12501] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12502] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   2*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 12503] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*z^4 + 4*a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 12504] -> 
  -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 12505] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   3*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12506] -> 
  7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 13*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12507] -> 1 - a^4 + a^6 + a^8 - a^10 + z^2 + 
   a^2*z^2 - 3*a^4*z^2 + 3*a^8*z^2 - z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 12508] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 8*a^2*z^2 - 20*a^4*z^2 + 
   20*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 
   16*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 6*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 12509] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 3*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12510] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 3*z^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12511] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12512] -> -a^(-4) + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 12513] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12514] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   6*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 12515] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 - z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + 5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 12516] -> a^2 + a^6 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 12517] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12518] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 12519] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 12520] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 12521] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 10*z^2 - z^2/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 12522] -> -2/a^12 + 7/a^10 - 10/a^8 + 
   5/a^6 + a^(-4) - (2*z^2)/a^12 + (16*z^2)/a^10 - (25*z^2)/a^8 + 
   (11*z^2)/a^6 + (4*z^2)/a^4 + (11*z^4)/a^10 - (25*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 12523] -> 
  4*a^6 - 4*a^8 + 3*a^10 - 3*a^12 + a^14 + 10*a^6*z^2 - 7*a^8*z^2 + 
   7*a^10*z^2 - 4*a^12*z^2 + a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 + 5*a^10*z^4 - 
   2*a^8*z^6, Knot[14, NonAlternating, 12524] -> 
  -4 + 3/a^2 + a^2 + a^4 - 6*z^2 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   a^2*z^4, Knot[14, NonAlternating, 12525] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 + (5*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 12526] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 + 3*a^4*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 
   a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[14, NonAlternating, 12527] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 12528] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12529] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 12530] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12531] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 12532] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 
   12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12533] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   5*a^4*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 12534] -> 2*a^4 - a^6 + a^10 - a^12 + 6*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 12535] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 12536] -> 
  a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 
   2*a^8*z^6, Knot[14, NonAlternating, 12537] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 12538] -> 
  2*a^4 - a^6 + a^10 - a^12 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - a^8*z^2 + 
   3*a^10*z^2 - 2*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 12539] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 12540] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 6*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12541] -> 
  a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 3*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 - 2*a^8*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 12542] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   4*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 12543] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12544] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 12545] -> 
  a^(-6) - a^(-4) + a^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12546] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12547] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 12548] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 + 2*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 12549] -> 
  2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 2/a^2 + z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 12550] -> 1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12551] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12552] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12553] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 12554] -> 
  -3*a^2 + 6*a^4 + a^6 - 3*a^8 - 7*a^2*z^2 + 14*a^4*z^2 + 9*a^6*z^2 - 
   7*a^8*z^2 - 5*a^2*z^4 + 13*a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 
   6*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 12555] -> -1 + 4*a^4 - 2*a^8 - 2*z^2 + a^2*z^2 + 
   9*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - z^4 + 2*a^2*z^4 + 7*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12556] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 3*z^2 + 
   4*a^2*z^2 + 8*a^4*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12557] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (27*z^2)/a^14 + (18*z^2)/a^12 + (19*z^2)/a^10 + z^4/a^16 - 
   (26*z^4)/a^14 + (36*z^4)/a^12 + (36*z^4)/a^10 - (9*z^6)/a^14 + 
   (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 12558] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (12*z^2)/a^14 + 
   (3*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12559] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 + z^2/a^16 - (8*z^2)/a^14 - (2*z^2)/a^12 + (14*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^4)/a^14 + (5*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 12560] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + z^4 + 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 12561] -> a^(-16) - 3/a^14 + a^(-12) + a^(-8) + 
   a^(-6) - (5*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^14 + (4*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 12562] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 2*z^2 + 
   4*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 + 2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 12563] -> 2 - a^2 - a^4 + a^6 + z^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - z^4/a^2 - a^4*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12564] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 - (5*z^2)/a^14 - (2*z^2)/a^12 + (10*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + (3*z^4)/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 12565] -> 2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12566] -> 1 - 4*a^4 + 8*a^6 - 4*a^8 + z^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12567] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 13*z^4 + 
   z^4/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 19*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 12568] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 2*z^2 - 
   9*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12569] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 12570] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + a^8*z^2 - 4*z^4 + 3*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 12571] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 10*a^2*z^2 + 8*a^4*z^2 + 4*z^4 - 
   z^4/a^2 - 10*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 12572] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + 2*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12573] -> 2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 
   3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12574] -> 1 + z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12575] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 12576] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12577] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12578] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   8*z^2 + z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12579] -> a^2 + a^4 - a^6 - a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 12580] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + (5*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 12581] -> 
  2 - 4*a^4 + 4*a^6 - a^8 + 2*z^2 - a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 12582] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + 
   7*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 12583] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - 
   a^6 + 5*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 8*z^4 - 
   (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12584] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 12585] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12586] -> 
  5*a^8 - 4*a^10 + a^6*z^2 + 16*a^8*z^2 - 6*a^10*z^2 - a^14*z^2 + 3*a^6*z^4 + 
   14*a^8*z^4 - a^10*z^4 + a^12*z^4 + a^6*z^6 + 3*a^8*z^6, 
 Knot[14, NonAlternating, 12587] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12588] -> 5*a^8 - 4*a^10 + 2*a^6*z^2 + 15*a^8*z^2 - 
   7*a^10*z^2 + a^12*z^2 - a^14*z^2 + 3*a^6*z^4 + 13*a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 + a^6*z^6 + 3*a^8*z^6, Knot[14, NonAlternating, 12589] -> 
  1 + 5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12590] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 9*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   z^4/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 12591] -> 
  a^(-4) - a^(-2) + a^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 12592] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12593] -> a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + 
   2*a^2*z^2 - 9*a^4*z^2 + 22*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   8*a^4*z^4 + 19*a^6*z^4 - 6*a^8*z^4 - 2*a^4*z^6 + 7*a^6*z^6 - a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 12594] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   4*z^2 - z^2/a^6 - z^2/a^4 + (10*z^2)/a^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 12595] -> 
  -1 - a^(-2) + 8*a^2 - 6*a^4 + a^6 - z^2 - (2*z^2)/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 
   6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12596] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 12597] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (14*z^2)/a^6 + (9*z^2)/a^4 + (7*z^4)/a^8 - 
   (15*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 12598] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + 
   (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12599] -> 3*a^6 - a^8 - 2*a^12 + a^14 + 8*a^6*z^2 - 
   a^8*z^2 + 2*a^10*z^2 - 3*a^12*z^2 + 6*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 12600] -> a^2 - a^4 + 4*a^6 - 4*a^8 + 
   a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   3*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12601] -> 
  -7 + a^(-4) + a^(-2) + 9*a^2 - 3*a^4 - 20*z^2 + z^2/a^4 + (4*z^2)/a^2 + 
   18*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + z^4/a^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 8*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12602] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 4*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (24*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12603] -> 3*a^2 - 7*a^4 + 10*a^6 - 6*a^8 + a^10 + 
   7*a^2*z^2 - 19*a^4*z^2 + 23*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 
   21*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 12604] -> 
  -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 7*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (19*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12605] -> 4 + a^(-10) - 2/a^8 + a^(-6) + 3/a^4 - 
   6/a^2 + 4*z^2 - (3*z^2)/a^8 + z^2/a^6 + (8*z^2)/a^4 - (14*z^2)/a^2 + z^4 - 
   z^4/a^8 + (11*z^4)/a^4 - (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 12606] -> -3/a^8 + 8/a^6 - 8/a^4 + 
   4/a^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 12607] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 12608] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12609] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - z^2 + (2*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 12610] -> -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12611] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12612] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 12613] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 12614] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 12615] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   14*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12616] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + 3*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 12617] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12618] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 + a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12619] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 11*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12620] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12621] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 4*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12622] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 12623] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12624] -> 1 - a^2 + 3*a^4 - 2*a^6 - 
   a^8 + a^10 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 12625] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12626] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 5*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12627] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12628] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12629] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12630] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 12631] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 12632] -> 
  4 - 7*a^2 + 5*a^4 - a^6 + 4*z^2 - 14*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + z^4 - 8*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 12633] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + z^6/a^2 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 12634] -> 2*a^6 + a^8 - 2*a^10 + 5*a^6*z^2 + 
   7*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 8*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 12635] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   8*a^4*z^2 - 11*a^6*z^2 + 9*a^8*z^2 - a^12*z^2 + 6*a^4*z^4 - 13*a^6*z^4 + 
   5*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 12636] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 3*z^2 - 8*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + z^4 - 
   8*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 12637] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - 
   a^2 + 5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 12638] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 
   z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 12639] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + 
   a^4 + 8*z^2 + z^2/a^6 - (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   z^4/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 12640] -> -2*a^2 + 7*a^4 - 4*a^6 - 
   4*a^2*z^2 + 14*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 
   12*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 12641] -> -6 + a^(-4) + 10*a^2 - 4*a^4 - 15*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12642] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - 
   a^2 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 12643] -> 
  1 - 3/a^4 + 5/a^2 - 3*a^2 + a^4 - z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 12644] -> 
  2/a^14 - 5/a^12 + 4/a^8 + z^2/a^14 - (10*z^2)/a^12 + (6*z^2)/a^10 + 
   (10*z^2)/a^8 + (2*z^2)/a^6 - (4*z^4)/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 12645] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - 
   a^2 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 12646] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12647] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (4*z^2)/a^10 - (19*z^2)/a^8 + (25*z^2)/a^6 - (5*z^2)/a^4 + (2*z^4)/a^10 - 
   (19*z^4)/a^8 + (33*z^4)/a^6 - (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12648] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (2*z^2)/a^10 - (20*z^2)/a^8 + (35*z^2)/a^6 - (10*z^2)/a^4 + z^4/a^10 - 
   (17*z^4)/a^8 + (41*z^4)/a^6 - (12*z^4)/a^4 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12649] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 14*z^2 + 
   z^2/a^6 - (17*z^2)/a^4 + (35*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + 
   (42*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 12650] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - (4*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12651] -> 3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 
   6*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 12652] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) - (6*z^2)/a^8 + (9*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 12653] -> a^(-12) - 4/a^10 + 5/a^8 - 
   4/a^6 + 3/a^4 - (3*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 12654] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12655] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12656] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 - 11*z^4 + z^4/a^6 - 
   (15*z^4)/a^4 + (30*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 12657] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^10 - (17*z^2)/a^8 + (31*z^2)/a^6 - 
   (9*z^2)/a^4 - (14*z^4)/a^8 + (39*z^4)/a^6 - (12*z^4)/a^4 - (6*z^6)/a^8 + 
   (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12658] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + z^2/a^8 - (4*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 12659] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12660] -> -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 
   29*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (31*z^2)/a^2 + 8*a^2*z^2 - 30*z^4 + 
   z^4/a^6 - (17*z^4)/a^4 + (39*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12661] -> -7 + a^(-8) - 2/a^6 + a^(-4) + 4/a^2 + 
   4*a^2 - 15*z^2 + z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12662] -> 4 - 7*a^2 + 5*a^4 - a^6 + 4*z^2 - 
   14*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - a^8*z^2 + z^4 - 8*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12663] -> -2*a^2 + 7*a^4 - 4*a^6 + z^2 - 
   6*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 11*a^4*z^4 - 
   2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12664] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 
   8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 12665] -> 4 + a^(-10) - 3/a^8 + 5/a^6 - 
   2/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 12666] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + z^6/a^2 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 12667] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12668] -> 5 - a^(-8) + 2/a^6 - a^(-4) - 2/a^2 - 
   2*a^2 + 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 12669] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 - 
   a^2*z^2 + 11*a^4*z^2 - 14*a^6*z^2 + 9*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 
   9*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 12670] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12671] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 12672] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 12673] -> 
  a^6 + a^8 + 3*a^10 - 6*a^12 + 2*a^14 + 4*a^6*z^2 + 4*a^8*z^2 + 
   11*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 
   13*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 + 4*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 12674] -> -2 + a^(-4) - a^(-2) + 4*a^2 - a^6 - 
   6*z^2 + z^2/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 12675] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 12676] -> 
  -6 + a^(-4) + a^(-2) + 7*a^2 - 2*a^4 - 14*z^2 + (2*z^2)/a^4 + 13*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + z^4/a^4 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 12677] -> 1 - 4*a^4 + 8*a^6 - 4*a^8 + 
   2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 + z^4 - 12*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12678] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 12679] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   10*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12680] -> -7 + a^(-8) - a^(-6) - a^(-4) + 5/a^2 + 
   4*a^2 - 17*z^2 - (2*z^2)/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 
   11*z^4 - z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12681] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 12682] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 10*z^2 + z^2/a^4 + z^2/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12683] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12684] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + z^2 + a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12685] -> 
  -7 + 2/a^6 - 4/a^4 + 6/a^2 + 4*a^2 - 26*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (23*z^2)/a^2 + 8*a^2*z^2 - 29*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (34*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12686] -> 2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 
   7*a^6*z^2 - 2*a^8*z^2 + 12*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 7*a^6*z^4 - 
   3*a^8*z^4 + 13*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 + 
   4*a^10*z^6 - a^8*z^8, Knot[14, NonAlternating, 12687] -> 
  a^(-2) - a^2 - a^4 + 4*a^6 - 2*a^8 + z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 12688] -> -6 + a^(-8) - a^(-6) + 3/a^2 + 
   4*a^2 - 14*z^2 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12689] -> a^4 + 3*a^10 - 4*a^12 + a^14 + 
   3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + 
   a^8*z^4 + 4*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 12690] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   8*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12691] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   3*a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 12692] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - (2*z^2)/a^12 + (13*z^2)/a^10 - (20*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (10*z^4)/a^10 - (21*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 12693] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 
   15*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12694] -> -7 - 2/a^4 + 7/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 20*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 21*z^4 - z^4/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   11*z^6 + (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 12695] -> a^(-16) - 8/a^12 + 8/a^10 + 
   (2*z^2)/a^16 - (10*z^2)/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 + z^4/a^16 - 
   (17*z^4)/a^14 + (11*z^4)/a^12 + (43*z^4)/a^10 - (8*z^6)/a^14 + 
   (19*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 12696] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 
   2*z^4 + a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 12697] -> 
  a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 + (10*z^2)/a^8 - (6*z^4)/a^14 + (6*z^4)/a^12 + 
   (17*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12698] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 8*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 6*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12699] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 12700] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (4*z^2)/a^10 - (24*z^2)/a^8 + (37*z^2)/a^6 - (10*z^2)/a^4 + (2*z^4)/a^10 - 
   (21*z^4)/a^8 + (42*z^4)/a^6 - (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12701] -> 4/a^14 - 13/a^12 + 10/a^10 + z^2/a^16 + 
   z^2/a^14 - (29*z^2)/a^12 + (38*z^2)/a^10 - (3*z^4)/a^14 - (20*z^4)/a^12 + 
   (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 12702] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - (8*z^2)/a^8 + (17*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 12703] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 14*z^2 + (3*z^2)/a^6 - (21*z^2)/a^4 + 
   (37*z^2)/a^2 - 14*z^4 + z^4/a^6 - (19*z^4)/a^4 + (43*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12704] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (4*z^2)/a^10 - (23*z^2)/a^8 + (32*z^2)/a^6 - (8*z^2)/a^4 + (2*z^4)/a^10 - 
   (20*z^4)/a^8 + (38*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12705] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12706] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - (8*z^2)/a^12 + (22*z^2)/a^10 - 
   (22*z^2)/a^8 + (15*z^2)/a^6 - (3*z^4)/a^12 + (23*z^4)/a^10 - 
   (29*z^4)/a^8 + (16*z^4)/a^6 + (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 12707] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 39*z^4 - 
   z^4/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 12708] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 
   (5*z^2)/a^8 + (25*z^2)/a^6 - (32*z^2)/a^4 + (13*z^2)/a^2 - (2*z^4)/a^8 + 
   (22*z^4)/a^6 - (40*z^4)/a^4 + (13*z^4)/a^2 + (8*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12709] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   z^2/a^12 + z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (4*z^4)/a^10 - z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 12710] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 
   2/a^4 - (3*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 + z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 12711] -> 8 - 4/a^2 - 2*a^2 - a^4 + 15*z^2 - 
   (7*z^2)/a^2 - 3*a^4*z^2 + 12*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 12712] -> -1 + 2*a^2 + a^4 - a^8 + 3*a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 12713] -> 3*a^6 - a^8 - a^10 + a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 5*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 12714] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 - (2*z^2)/a^14 - (8*z^2)/a^12 + (11*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 - (2*z^4)/a^12 + (14*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 12715] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (6*z^2)/a^14 - (12*z^2)/a^12 + (26*z^2)/a^10 + (3*z^2)/a^8 - 
   (6*z^4)/a^14 - z^4/a^12 + (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 12716] -> a^(-12) - 4/a^10 + 2/a^8 + 
   2/a^6 - (4*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + (6*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 12717] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12718] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - z^2 - 
   z^2/a^2 + 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12719] -> 3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + 
   z^2/a^16 - (2*z^2)/a^14 - (18*z^2)/a^12 + (26*z^2)/a^10 + (4*z^2)/a^8 - 
   (5*z^4)/a^14 - (6*z^4)/a^12 + (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 12720] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) + z^2/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 - 
   (6*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^8 + (7*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 12721] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12722] -> -2*a^4 + 8*a^6 - 5*a^8 - 5*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 - 4*a^4*z^4 + 16*a^6*z^4 + 3*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 12723] -> -3/a^8 + 6/a^6 - 4/a^4 + 
   2/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 12724] -> -a^2 + 3*a^4 - a^10 - 2*a^2*z^2 + 
   7*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 4*a^4*z^4 + 
   2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12725] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 
   2/a^2 - z^2/a^10 + (9*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 + (3*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 12726] -> 
  a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 3*a^4*z^2 - 5*a^6*z^2 + 19*a^8*z^2 - 
   8*a^10*z^2 + a^4*z^4 - 4*a^6*z^4 + 18*a^8*z^4 - 5*a^10*z^4 - a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 12727] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 12728] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 12729] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 
   a^2*z^2 + 3*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12730] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 12731] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 + z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 12732] -> 
  -a^(-12) + 2/a^6 - (4*z^2)/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^4)/a^12 + (17*z^4)/a^10 - (22*z^4)/a^8 + 
   (15*z^4)/a^6 + (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 12733] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 - 3*z^2 - (3*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 - 
   8*z^4 - z^4/a^2 + 36*a^2*z^4 - 13*a^4*z^4 - 5*z^6 + 25*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 12734] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 12735] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 
   2*z^2 - z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 12736] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 
   2*a^4 - 9*z^2 + z^2/a^4 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + 
   z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12737] -> 1 - a^2 + 3*a^6 - 2*a^8 + a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 12738] -> 
  1 - a^2 - a^4 + 5*a^6 - 3*a^8 + z^2 + a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12739] -> 
  3 - a^(-2) - a^2 + 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12740] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - 6*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 12741] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (10*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 12742] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 12743] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 
   2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 - 
   a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 12744] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 4*z^2 + 8*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - 
   2*z^4 + 7*a^2*z^4 + 3*a^4*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 12745] -> 6 - 3/a^2 - a^2 - a^4 + 12*z^2 - 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 9*z^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 12746] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 12747] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 
   2/a^4 - (3*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 + (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 12748] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + z^4 - z^4/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12749] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 5*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12750] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 12751] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 12752] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   4*z^2 + z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 12753] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 
   2*a^2 - 16*z^2 - z^2/a^6 - z^2/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + 
   (10*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12754] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (2*z^2)/a^10 - (15*z^2)/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (28*z^4)/a^6 - (8*z^4)/a^4 - (6*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12755] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   z^2/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 - 10*z^4 - (11*z^4)/a^4 + 
   (29*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 12756] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + 
   (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 12757] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (10*z^2)/a^10 - 
   (22*z^2)/a^8 + (17*z^2)/a^6 + (8*z^4)/a^10 - (22*z^4)/a^8 + (13*z^4)/a^6 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 12758] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 18*z^2 - 
   (6*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 12759] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^8 + (13*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12760] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - z^4 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 12761] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 
   8/a^2 - 4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 12762] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 5*z^2 + 
   19*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 4*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 12763] -> 3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 12764] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (7*z^2)/a^10 - (18*z^2)/a^8 + 
   (14*z^2)/a^6 + (3*z^4)/a^10 - (19*z^4)/a^8 + (21*z^4)/a^6 - (6*z^4)/a^4 - 
   (8*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 12765] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 12766] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 12767] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (16*z^2)/a^10 - 
   (17*z^2)/a^8 + (14*z^2)/a^6 - (2*z^4)/a^12 + (19*z^4)/a^10 - 
   (27*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 12768] -> -2 - a^(-2) + 9*a^2 - 5*a^4 - 9*z^2 - 
   (2*z^2)/a^2 + 31*a^2*z^2 - 14*a^4*z^2 - 10*z^4 - z^4/a^2 + 41*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 12769] -> 
  -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - (4*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 12770] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 11*z^2 - (7*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   11*z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 12771] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 9*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 + 
   2*a^4*z^2 + 9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 12772] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 12773] -> 3 - a^(-4) - a^4 + 7*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 12774] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 
   4*z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (12*z^2)/a^4 - 
   (13*z^2)/a^2 + z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (11*z^4)/a^4 - 
   (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 12775] -> 2/a^14 - 5/a^12 + 4/a^8 + (2*z^2)/a^14 - 
   (12*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - (6*z^4)/a^12 + 
   (10*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 12776] -> 3/a^10 - 12/a^8 + 13/a^6 - 
   3/a^4 + z^2/a^10 - (17*z^2)/a^8 + (30*z^2)/a^6 - (8*z^2)/a^4 - 
   (9*z^4)/a^8 + (26*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12777] -> -a^(-16) + 7/a^14 - 15/a^12 + 9/a^10 + 
   a^(-8) + z^2/a^16 + (3*z^2)/a^14 - (28*z^2)/a^12 + (30*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^14 - (14*z^4)/a^12 + (33*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^12 + (15*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 12778] -> -3*a^4 + 13*a^6 - 12*a^8 + 3*a^10 - 
   8*a^4*z^2 + 30*a^6*z^2 - 17*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   26*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 12779] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (10*z^2)/a^6 + z^4/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12780] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + z^2/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - 
   (7*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 12781] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 
   2/a^4 - (5*z^2)/a^12 + (12*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (7*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 12782] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + a^6*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12783] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - z^4 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 12784] -> -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 3*z^6 - z^6/a^2, Knot[14, NonAlternating, 12785] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   3*z^4 + z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*z^6 + 2*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12786] -> 
  -a^(-4) + 2/a^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12787] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12788] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^4 + 
   z^2/a^2 + z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12789] -> -5 - a^(-6) - 2/a^4 + 8/a^2 + a^2 - 
   14*z^2 - z^2/a^6 - (2*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   (11*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12790] -> 1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 + 
   3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 12791] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 18*z^2 + 
   (5*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12792] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + (5*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 12793] -> 
  a^(-4) - 2/a^2 + 3*a^2 - a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 12794] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12795] -> 1 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + z^4/a^4 + (2*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12796] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12797] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - 
   z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12798] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12799] -> 2 + a^(-4) - 2/a^2 - 3*z^2 - z^2/a^4 + 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 12800] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 10*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 12801] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12802] -> 2*a^6 + a^10 - 3*a^12 + a^14 + 
   6*a^6*z^2 + 2*a^8*z^2 + 5*a^10*z^2 - 5*a^12*z^2 + 7*a^6*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 12803] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12804] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 - 4*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12805] -> -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12806] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 
   11*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 5*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12807] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 6*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 12808] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 5*z^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12809] -> 
  -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 11*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 12810] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 12811] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 12812] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 10*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 12813] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + 4*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12814] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 16*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 12815] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 20*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 
   13*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 12816] -> 
  2*a^2 - a^4 - 10*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12817] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 9*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12818] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12819] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[14, NonAlternating, 12820] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 + z^4/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 12821] -> 
  2*a^4 - a^8 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 
   17*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 12822] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 + 
   a^6*z^2 - 4*z^4 + z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12823] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12824] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 7*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 
   2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 12825] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (22*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12826] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 12827] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 - 2*a^8*z^2 + 
   3*a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 12828] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   5*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 12829] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 12830] -> -a^(-6) - a^(-4) + 4/a^2 - 
   a^2 + z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 12831] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   8*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 12832] -> 
  -5 + 3/a^2 + 3*a^2 - 11*z^2 + z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   9*z^4 + z^4/a^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 12833] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 
   3*a^4*z^2 + 11*a^6*z^2 + 8*a^8*z^2 - 6*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 
   10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 12834] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^4)/a^12 - (3*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 12835] -> a^4 - 3*a^6 + 8*a^8 - 5*a^10 + 
   2*a^4*z^2 - 4*a^6*z^2 + 21*a^8*z^2 - 9*a^10*z^2 + a^4*z^4 - 3*a^6*z^4 + 
   19*a^8*z^4 - 5*a^10*z^4 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 12836] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 12837] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) - (4*z^2)/a^10 + (9*z^2)/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 12838] -> 
  a^6 + 3*a^8 - 3*a^10 + a^4*z^2 + 5*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 
   4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12839] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12840] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 12841] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 5*a^4*z^2 + 17*a^6*z^2 + 2*a^8*z^2 - 
   5*a^10*z^2 - 4*a^4*z^4 + 15*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 12842] -> a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 
   2/a^6 - (4*z^2)/a^12 + (5*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 + z^4/a^12 + 
   (2*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 12843] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 - 
   2*a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 - 2*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12844] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 + z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 12845] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^4*z^2 + 
   13*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + 2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 12846] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 2*z^2 - 6*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 
   z^4 - 4*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 12847] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 12848] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) - (4*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 + (4*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 12849] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 
   2*z^2 + 14*a^2*z^2 - 23*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   11*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 12850] -> 
  -8 + 3/a^2 + 9*a^2 - 3*a^4 - 23*z^2 + (7*z^2)/a^2 + 22*a^2*z^2 - 
   6*a^4*z^2 - 21*z^4 + (5*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 12851] -> -7 + 4/a^2 + 4*a^2 - 22*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 12852] -> 
  3/a^6 - 7/a^4 + 5/a^2 + (10*z^2)/a^6 - (23*z^2)/a^4 + (11*z^2)/a^2 + 
   (8*z^4)/a^6 - (26*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - (12*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 12853] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 12854] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 12855] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (25*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 12856] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 2*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 - 
   2*a^10*z^2 - a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 12857] -> -a^(-12) + 3/a^10 - a^(-8) - 
   5/a^6 + 5/a^4 - z^2/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 - (9*z^2)/a^6 + 
   (9*z^2)/a^4 + (4*z^4)/a^10 - (7*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 12858] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 12859] -> 
  1 - a^2 - 2*a^4 + 7*a^6 - 4*a^8 + z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 12860] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 
   2*z^2 - 3*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12861] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (4*z^2)/a^12 + (13*z^2)/a^10 - (16*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^4)/a^12 + (18*z^4)/a^10 - (27*z^4)/a^8 + (16*z^4)/a^6 + 
   (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 12862] -> 
  -2 - 3/a^4 + 6/a^2 - 11*z^2 - (11*z^2)/a^4 + (25*z^2)/a^2 - 13*z^4 - 
   (13*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 12863] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + z^2/a^6 - (15*z^2)/a^4 + 
   (30*z^2)/a^2 - 13*z^4 - (14*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 12864] -> 3/a^14 - 11/a^12 + 9/a^10 + 
   (2*z^2)/a^16 - (2*z^2)/a^14 - (25*z^2)/a^12 + (37*z^2)/a^10 + z^4/a^16 - 
   (6*z^4)/a^14 - (18*z^4)/a^12 + (54*z^4)/a^10 - (2*z^6)/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 12865] -> -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 
   10*a^4*z^2 + 33*a^6*z^2 - 15*a^8*z^2 - 12*a^4*z^4 + 40*a^6*z^4 - 
   13*a^8*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 12866] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 12867] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - z^2/a^14 - (13*z^2)/a^12 + 
   (14*z^2)/a^10 + (10*z^2)/a^8 - (2*z^4)/a^14 - (6*z^4)/a^12 + 
   (17*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 12868] -> -a^2 + a^4 + 6*a^6 - 6*a^8 + 
   a^10 - 3*a^2*z^2 + 4*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 12869] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 4*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (27*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (32*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12870] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12871] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 12872] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + 19*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 
   7*z^4 + 22*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 12873] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 12874] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 12875] -> 
  -a^(-8) + 2/a^4 - (4*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + (7*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12876] -> -a^(-6) + a^(-4) + a^(-2) - 7*z^2 - 
   z^2/a^6 - (4*z^2)/a^4 + (14*z^2)/a^2 - 10*z^4 - z^4/a^6 - (7*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 12877] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 5*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - 
   (36*z^2)/a^4 + (25*z^2)/a^2 - 4*z^4 - z^4/a^8 + (18*z^4)/a^6 - 
   (43*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (26*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 12878] -> a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 
   7/a^6 + z^2/a^14 - (9*z^2)/a^12 + (26*z^2)/a^10 - (33*z^2)/a^8 + 
   (20*z^2)/a^6 - (4*z^4)/a^12 + (26*z^4)/a^10 - (42*z^4)/a^8 + 
   (20*z^4)/a^6 + (10*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 12879] -> 
  -2 + 10*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 5*z^2 + 25*a^2*z^2 - 36*a^4*z^2 + 
   20*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 26*a^2*z^4 - 43*a^4*z^4 + 18*a^6*z^4 - 
   a^8*z^4 - z^6 + 12*a^2*z^6 - 26*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 12880] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - (2*z^2)/a^12 + (6*z^2)/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - (5*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 12881] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 12882] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 12883] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 12884] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 12885] -> 
  1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6, Knot[14, NonAlternating, 12886] -> 
  -a^(-8) + 2/a^4 - z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + (3*z^4)/a^8 - (7*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 12887] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - a^4*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12888] -> -a^(-4) + 2/a^2 - 6*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 12889] -> -a^(-8) + a^(-6) + a^(-2) - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 12890] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 3*z^2 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 12891] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12892] -> a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - 5*a^2*z^4 + 7*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 12893] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 12894] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   4*z^2 - z^2/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12895] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 
   3*z^2 + z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 
   4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12896] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 12897] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12898] -> 1 + a^(-6) - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 12899] -> 4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 
   4*z^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (14*z^2)/a^2 + z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (11*z^4)/a^4 - 
   (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 12900] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 + z^2 + z^2/a^6 - z^2/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12901] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12902] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 12903] -> a^2 + a^4 - 2*a^6 + a^8 + 
   a^10 - a^12 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*a^10*z^2 - a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 12904] -> 
  -1 - a^(-6) + 2/a^4 + a^2 + z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 12905] -> 
  -2 - 3/a^6 + 5/a^4 + a^2 - 6*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + 
   z^6/a^4, Knot[14, NonAlternating, 12906] -> 3 + a^(-10) - 3/a^8 + 5/a^6 - 
   3/a^4 - 2/a^2 + 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - 
   (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 12907] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 12908] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^2 + 
   a^2 - z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 12909] -> 
  1 + a^(-6) - a^(-4) - a^4 + a^6 + 2*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   3*a^4*z^2 + 2*z^4 + z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12910] -> -a^(-10) + a^(-8) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^4 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 12911] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 5*z^2 - z^2/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12912] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 12913] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 5*z^2 + 
   z^2/a^2 + 2*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 12914] -> -1 + a^(-4) + a^2 - a^6 + 
   a^8 - z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 
   a^2*z^4 + 3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 12915] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - a^2*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 12916] -> 2 - a^(-2) + a^4 - a^6 - z^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 4*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12917] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 5*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 12918] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + 7*a^2*z^2 - 16*a^4*z^2 + 
   20*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 
   16*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 6*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 12919] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 7*z^4 + z^4/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12920] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12921] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 12922] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 3*z^4 + 
   12*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12923] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   17*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 12924] -> 2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 
   3*z^2 - 8*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12925] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 12926] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 7*z^2 + z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12927] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12928] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 12929] -> -1 + a^(-2) + 3*a^6 - 2*a^8 - 
   2*z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 - 
   a^2*z^4 + a^6*z^4, Knot[14, NonAlternating, 12930] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 12931] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 12932] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12933] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 12934] -> 
  2 - 2*a^2 + a^4 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 
   2*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 12935] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12936] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 12937] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - 4*z^2 - z^2/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + 16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12938] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12939] -> a^4 - 4*a^6 + 10*a^8 - 6*a^10 + 
   3*a^4*z^2 - 8*a^6*z^2 + 27*a^8*z^2 - 11*a^10*z^2 + a^4*z^4 - 5*a^6*z^4 + 
   23*a^8*z^4 - 6*a^10*z^4 - a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 12940] -> 5*a^8 - 4*a^10 + a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 - a^4*z^4 + 4*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 12941] -> 
  -a^4 + 4*a^6 - 2*a^10 + 8*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 5*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 12942] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 + 
   4*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^4*z^4 + a^6*z^4 + 
   a^8*z^4, Knot[14, NonAlternating, 12943] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^4 + z^2/a^2 + z^4 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12944] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - 
   a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 12945] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 12946] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 + 15*a^6*z^2 - 6*a^8*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 9*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 12947] -> a^(-8) + 2/a^6 - 8/a^4 + 6/a^2 + 
   (4*z^2)/a^8 - z^2/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 12948] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 12949] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 12950] -> 
  -5 - 3/a^4 + 8/a^2 + a^4 - 8*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 12951] -> 
  -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 12952] -> 2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^14 - (12*z^2)/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - 
   (4*z^4)/a^12 + (11*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 12953] -> 
  -a^4 + 4*a^6 - 2*a^10 + z^2 - a^2*z^2 + a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 
   a^10*z^2 - a^2*z^4 + 2*a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 12954] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   16*z^2 + z^2/a^8 - (4*z^2)/a^6 + (12*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 12955] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 12956] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 12957] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 12958] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 + 3*z^4 + 8*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 12959] -> -7 + 4/a^2 + 4*a^2 - 14*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 12960] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 12961] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[14, NonAlternating, 12962] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - (7*z^4)/a^8 + (14*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 12963] -> 
  -5 - 2/a^4 + 6/a^2 + a^2 + 2*a^4 - a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 11*z^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 12964] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 + 
   z^2/a^14 - (10*z^2)/a^12 + (29*z^2)/a^10 - (36*z^2)/a^8 + (20*z^2)/a^6 - 
   (7*z^4)/a^12 + (32*z^4)/a^10 - (41*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^12 + 
   (14*z^6)/a^10 - (25*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 12965] -> 
  1 + a^2 - 2*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - z^4/a^2 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12966] -> -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 12967] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 12968] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 12969] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12970] -> 3*a^4 - 2*a^6 - a^2*z^2 + 9*a^4*z^2 - 
   8*a^6*z^2 + 3*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 12971] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 12972] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   a^8*z^2 - 3*z^4 + 4*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 12973] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 12974] -> 1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + 
   a^8 + z^2/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - 
   9*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12975] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   2*z^2 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 12976] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - z^4 - (3*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, NonAlternating, 12977] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + 
   a^4 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 12978] -> a^(-8) - a^(-6) + a^(-2) - 2*a^2 + 
   2*a^4 + 3*z^2 - (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 8*z^4 - z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 12979] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12980] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 12981] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12982] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   a^6*z^2 + a^8*z^2 - 3*z^4 + 5*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 12983] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 12984] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 12985] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 10*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12986] -> -4 + 2/a^2 + 2*a^2 + 4*a^4 - 4*a^6 + 
   a^8 - 9*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 
   6*z^4 + z^4/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + a^2*z^6 + 
   2*a^4*z^6, Knot[14, NonAlternating, 12987] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 12988] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + a^2*z^4 - z^6 + z^6/a^4, 
 Knot[14, NonAlternating, 12989] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 
   2*a^4 - 6*z^2 + z^2/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - (5*z^4)/a^4 + (10*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 12990] -> -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - 
   2*z^2 + z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - 
   8*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 12991] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 12992] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^4 - 
   a^2*z^4, Knot[14, NonAlternating, 12993] -> -2 + a^(-8) - a^(-6) + 2/a^2 - 
   a^2 + 2*a^4 - 5*z^2 - (3*z^2)/a^6 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 12994] -> 
  a^(-4) - a^2 + a^4 - a^6 + a^8 - 3*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 - z^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 12995] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 12996] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - (6*z^4)/a^8 + (21*z^4)/a^6 - (23*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^8 + (12*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 12997] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 12998] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (15*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^4 + (6*z^4)/a^10 - (21*z^4)/a^8 + (24*z^4)/a^6 - 
   (6*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 12999] -> 3/a^10 - 9/a^8 + 7/a^6 + (5*z^2)/a^10 - 
   (21*z^2)/a^8 + (23*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^10 - (20*z^4)/a^8 + 
   (32*z^4)/a^6 - (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13000] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (6*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13001] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 - z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13002] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 13003] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 13004] -> 3/a^10 - 9/a^8 + 7/a^6 + (5*z^2)/a^10 - 
   (23*z^2)/a^8 + (27*z^2)/a^6 - (6*z^2)/a^4 + (2*z^4)/a^10 - (21*z^4)/a^8 + 
   (36*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13005] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^10 - (15*z^4)/a^8 + 
   (20*z^4)/a^6 - (6*z^4)/a^4 - (7*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13006] -> -2 - a^(-4) + 3/a^2 + a^2 - 15*z^2 + 
   (8*z^2)/a^2 + 7*a^2*z^2 - 26*z^4 + z^4/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 
   20*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13007] -> 4 - a^(-4) - 2*a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 9*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13008] -> -2/a^6 + 3/a^4 - z^2/a^12 + 
   (5*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (25*z^4)/a^6 - (8*z^4)/a^4 - (9*z^6)/a^8 + (21*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13009] -> 4 - 2/a^2 - a^4 - 2*z^2 - z^2/a^2 + 
   14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 
   13*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 13010] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - (6*z^4)/a^8 + (7*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 13011] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (5*z^4)/a^8 + 
   (16*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 13012] -> 
  -2 + 2/a^2 - a^2 + 4*a^4 - 3*a^6 + a^8 - 3*z^2 + z^2/a^2 - 5*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 13013] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 7*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - 
   4*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13014] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 13015] -> 
  -5 + 3/a^2 + 3*a^2 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 13016] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 13017] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   3*z^2 - z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13018] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   8*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 13019] -> 
  -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 19*z^2 - (8*z^2)/a^4 + (19*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 - z^4/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (8*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13020] -> 
  2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 
   11*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 
   7*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 13021] -> a^4 + a^8 + a^10 - 3*a^12 + a^14 + 
   3*a^4*z^2 + 2*a^6*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 
   2*a^8*z^4 + 5*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 13022] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13023] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 15*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 3*z^4 + 
   12*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 13024] -> a^(-4) - a^(-2) + 3*a^2 - 
   4*a^4 + 2*a^6 + 2*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   3*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13025] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   9*z^2 + z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 13026] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 
   9*z^2 + (6*z^2)/a^6 - (24*z^2)/a^4 + (27*z^2)/a^2 - 12*z^4 + (2*z^4)/a^6 - 
   (22*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (8*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 13027] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^2 - 4*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13028] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - 2*a^2 + 
   2*a^4 + z^2/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 13029] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + 
   a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13030] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 13031] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 
   3*a^2 - 11*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13032] -> 
  -3 + a^(-8) - 2/a^6 + 3/a^4 - a^(-2) + 3*a^2 - 8*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13033] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   8*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13034] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13035] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - (4*z^2)/a^2 - a^4*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 13036] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 3*a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 13037] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 - (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   10*z^4 + z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 13038] -> 
  1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 13039] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 2*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 
   a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13040] -> 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 + 
   a^2*z^4 - 4*a^4*z^4 - 2*a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 13041] -> 4*a^4 - 4*a^6 + a^8 + 8*a^4*z^2 - 
   9*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 8*a^6*z^4 - 
   2*a^8*z^4 + 3*a^10*z^4 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 13042] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13043] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13044] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 13045] -> 
  a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13046] -> 3*a^6 - 2*a^8 + 2*a^10 - 3*a^12 + a^14 + 
   9*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + 5*a^10*z^4 - 2*a^8*z^6, Knot[14, NonAlternating, 13047] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 5*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13048] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 13049] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 
   8*z^2 + z^2/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 13050] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   15*z^2 - (7*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (5*z^4)/a^4 + 
   (18*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13051] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 13052] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13053] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 13054] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 13055] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13056] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   10*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 13057] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13058] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13059] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 13060] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 
   3*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 13061] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 13062] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13063] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 13064] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 4*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13065] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 4*a^2*z^2 - 
   7*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 9*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13066] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   4*a^4*z^2 + 19*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 13*a^6*z^4 - 
   a^10*z^4 + 3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 13067] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 13068] -> -2/a^12 + 6/a^10 - 8/a^8 + 
   4/a^6 + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 13069] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 13070] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - 2*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 13071] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   6*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 13072] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 3*z^2 + z^2/a^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - z^4 + a^4*z^4, Knot[14, NonAlternating, 13073] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 13074] -> 2 + a^(-4) - 2/a^2 + z^2 - 
   (2*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 13075] -> 2*a^4 - a^8 + 5*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 13076] -> 
  -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13077] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 6*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + 
   z^4/a^4 - (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 13078] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 3*z^4 + 11*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13079] -> 1 - a^2 + a^4 + a^6 - a^8 + a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13080] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   5*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13081] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 15*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (6*z^4)/a^4 + 
   (18*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13082] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 13083] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 13084] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 13085] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 13086] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 13087] -> 
  -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (13*z^2)/a^10 - 
   (20*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 + (9*z^4)/a^10 - (22*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 13088] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 13089] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + 
   a^(-2) + (6*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13090] -> -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + 
   14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 14*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13091] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13092] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 3*z^2 - 6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 4*a^2*z^4 + 
   a^4*z^4 - 3*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 13093] -> 
  4 - 6*a^2 + 3*a^4 + 4*z^2 - 13*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + z^4 - 7*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 13094] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 4*z^2 + z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 
   a^8*z^2 - z^4 + 2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 13095] -> 
  a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + a^4 - z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + (4*z^4)/a^4 - z^4/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 13096] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 13097] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - 9*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 13098] -> 
  2 - 2*a^2 + a^4 + 7*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   8*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13099] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 4*z^2 - z^2/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 13100] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13101] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 - a^2*z^4 + 4*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 13102] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13103] -> 5*a^8 - 4*a^10 + 16*a^8*z^2 - 
   4*a^10*z^2 - 2*a^14*z^2 + 19*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + 
   8*a^8*z^6 + a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 13104] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13105] -> 
  2*a^6 - a^12 + 5*a^6*z^2 + 5*a^8*z^2 + a^10*z^2 - a^12*z^2 - a^14*z^2 + 
   5*a^6*z^4 + 6*a^8*z^4 + 2*a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 13106] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 + z^4/a^4 + 3*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 13107] -> a^(-8) - 2/a^6 + 2/a^4 - 
   a^(-2) + a^2 - z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 13108] -> 
  6*a^8 - 6*a^10 + a^12 + 18*a^8*z^2 - 8*a^10*z^2 - a^14*z^2 + 19*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^10*z^6 + a^12*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 13109] -> -9 - 2/a^4 + 7/a^2 + 6*a^2 - 
   a^6 - 19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   7*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 13110] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13111] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (6*z^2)/a^8 - 
   (9*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13112] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 7*a^6*z^2 + a^8*z^2 + a^10*z^2 - a^14*z^2 + 
   5*a^6*z^4 + 4*a^8*z^4 + a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 13113] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 13114] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   5*z^2 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13115] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + a^2*z^4 + 
   3*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 13116] -> 
  -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 3*a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 13117] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 - z^4 + 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 13118] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 2*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 13119] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 13120] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 - 9*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 
   5*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13121] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13122] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 4*z^4 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13123] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 13124] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 13125] -> 4*a^8 - 2*a^10 - a^12 + 16*a^8*z^2 - 
   3*a^10*z^2 - 2*a^14*z^2 + 19*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + 
   8*a^8*z^6 + a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 13126] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13127] -> a^6 + 2*a^8 - a^10 - a^12 + 5*a^6*z^2 + 
   6*a^8*z^2 + a^10*z^2 - a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + 
   2*a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 13128] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 13129] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 7*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13130] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 13131] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 13132] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 7*z^2 - (3*z^2)/a^4 - 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 13133] -> 
  -1 + 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + a^8 - 3*z^2 + z^2/a^2 - 6*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + z^4 - 6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 13134] -> 
  2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13135] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13136] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - 
   3*a^2 + 2*a^4 + 7*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13137] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 13138] -> 
  -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 26*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 31*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   27*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 13139] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 2*a^4*z^2 + 9*a^6*z^2 - 
   12*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 
   3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 13140] -> -5 - 2/a^6 + 4/a^4 + a^(-2) + 3*a^2 - 
   12*z^2 - z^2/a^6 + (7*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 13141] -> 
  -3 - 4/a^4 + 8/a^2 - 5*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13142] -> 
  a^(-10) - 7/a^8 + 14/a^6 - 12/a^4 + 5/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (35*z^2)/a^6 - (30*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (37*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13143] -> 2 - 3*a^2 + 5*a^6 - 3*a^8 + 3*z^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + z^4 - 4*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13144] -> -3 - a^(-4) + 4/a^2 + a^4 - 6*z^2 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 13145] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 13146] -> -1 + a^(-2) + 3*a^6 - 2*a^8 - z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 - 2*a^2*z^4 - a^4*z^4 + 
   a^6*z^4, Knot[14, NonAlternating, 13147] -> -a^(-2) + 5*a^2 - 3*a^4 - 
   z^2 - z^2/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 
   7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13148] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 
   10*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13149] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - 2*a^2 + 
   2*a^4 - 4*z^2 + z^2/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - (4*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 13150] -> a^(-2) - a^4 + a^6 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13151] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 13152] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 13153] -> 
  2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 2*z^2 + z^2/a^2 - 10*a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - 10*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 13154] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   5*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13155] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13156] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   9*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 13157] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   10*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 10*z^4 + 
   z^4/a^2 + 17*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 14*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 13158] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 13159] -> 2 + a^(-6) - 2/a^2 - a^2 + 
   a^4 + 3*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*z^4 - 
   z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13160] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13161] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 + z^2 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13162] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + 
   a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13163] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13164] -> 2 - 3*a^4 + 2*a^6 + 3*z^2 - 2*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - 5*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 13165] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 13166] -> 2 - 3*a^2 + a^4 + 3*a^6 - 
   2*a^8 + 3*z^2 - 7*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + z^4 - 
   5*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13167] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 + 
   z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13168] -> -1 - 2/a^4 + 4/a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 13169] -> 
  -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 2*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 13170] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 13171] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13172] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13173] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + z^4 - 4*a^2*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + a^6*z^6, Knot[14, NonAlternating, 13174] -> 
  1 - 3*a^4 + 6*a^6 - 3*a^8 + 2*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 + z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - a^2*z^6 - 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 13175] -> 
  2*a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 13176] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 13177] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13178] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 3*z^4 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 13179] -> 
  a^(-6) - a^(-2) + a^4 + 3*z^2 - z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 6*z^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 13180] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 13181] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 13182] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - a^2*z^4 + 
   5*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 13183] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) - (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13184] -> -1 + 2/a^2 - a^2 + a^6 - 3*z^2 + 
   z^2/a^2 - 3*a^2*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 13185] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 13186] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 5*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   3*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 13187] -> 
  4 + a^(-6) - 2/a^4 - 3*a^2 + a^4 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + 2*z^4 - z^4/a^4, Knot[14, NonAlternating, 13188] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 4*a^2*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   2*a^2*z^4 - a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 13189] -> 
  3 - 4*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 10*z^4 - z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 13190] -> 
  3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + (5*z^2)/a^10 - (27*z^2)/a^8 + 
   (38*z^2)/a^6 - (10*z^2)/a^4 + (2*z^4)/a^10 - (22*z^4)/a^8 + (42*z^4)/a^6 - 
   (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 13191] -> 
  5/a^14 - 15/a^12 + 11/a^10 + (5*z^2)/a^14 - (35*z^2)/a^12 + (40*z^2)/a^10 - 
   z^4/a^14 - (24*z^4)/a^12 + (55*z^4)/a^10 - z^6/a^14 - (5*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 13192] -> -6 + a^(-6) - 9/a^4 + 15/a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (21*z^2)/a^4 + (41*z^2)/a^2 - 15*z^4 - (17*z^4)/a^4 + 
   (46*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (27*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 13193] -> 
  -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 + z^2/a^10 - (8*z^2)/a^8 + (25*z^2)/a^6 - 
   (30*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - 
   (32*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13194] -> 5*a^2 - 7*a^4 + 3*a^6 + 7*a^2*z^2 - 
   15*a^4*z^2 + 6*a^6*z^2 + 2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 13195] -> 3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 
   4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 13196] -> 
  -3 - 3/a^6 + 6/a^4 - a^(-2) + 2*a^2 - 7*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4, Knot[14, NonAlternating, 13197] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + z^2 + z^2/a^8 - (9*z^2)/a^6 + 
   (18*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - (4*z^4)/a^6 + (14*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13198] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 13199] -> 
  a^2 - a^4 + 2*a^6 - a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*a^8*z^4 - a^10*z^4 - 
   a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 13200] -> 
  a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 + z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13201] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   (4*z^2)/a^12 + (15*z^2)/a^10 - (19*z^2)/a^8 + (15*z^2)/a^6 - 
   (2*z^4)/a^12 + (18*z^4)/a^10 - (28*z^4)/a^8 + (16*z^4)/a^6 + 
   (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 13202] -> 
  -3 - a^(-2) + 11*a^2 - 6*a^4 - 9*z^2 - (2*z^2)/a^2 + 32*a^2*z^2 - 
   14*a^4*z^2 - 10*z^4 - z^4/a^2 + 41*a^2*z^4 - 14*a^4*z^4 - 5*z^6 + 
   26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 13203] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 13204] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 13205] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   9*z^2 - (6*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 13206] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   8*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13207] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 
   z^2/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 13208] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 13209] -> -2 + 5*a^2 - 2*a^4 + a^6 - 
   a^8 - 4*z^2 + 11*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 
   7*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13210] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   z^4/a^2 + (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 13211] -> 
  3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + (2*z^2)/a^14 - (16*z^2)/a^12 + 
   (13*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (7*z^4)/a^12 + (15*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 13212] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 13213] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 13214] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 7*z^2 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13215] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13216] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 8*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 13217] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (3*z^2)/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + 
   (15*z^4)/a^10 - (25*z^4)/a^8 + (16*z^4)/a^6 + (7*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 13218] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 - 4*z^2 - 
   (3*z^2)/a^2 + 25*a^2*z^2 - 12*a^4*z^2 - 8*z^4 - z^4/a^2 + 37*a^2*z^4 - 
   13*a^4*z^4 - 5*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 13219] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 13220] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 
   3*a^4 + 2*z^2 - z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 6*z^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13221] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + z^2 + z^2/a^2 + 2*a^2*z^2 - 
   14*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 
   a^2*z^6 - 3*a^4*z^6, Knot[14, NonAlternating, 13222] -> 
  -6 + a^(-4) + a^(-2) + 7*a^2 - 2*a^4 - 13*z^2 + z^2/a^4 + z^2/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   2*z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 13223] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + (2*z^2)/a^14 - (17*z^2)/a^12 + 
   (16*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (7*z^4)/a^12 + (16*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 13224] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 13225] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   4*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 13226] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 - z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13227] -> 
  -2 - a^(-8) + 7/a^6 - 14/a^4 + 11/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (30*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13228] -> a^(-4) - a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 
   3*a^2*z^2 - 9*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 13229] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6, Knot[14, NonAlternating, 13230] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   z^2 - z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 7*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13231] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   4*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 4*a^2*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13232] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 13233] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 4*z^2 - 7*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - 6*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 13234] -> 3 + a^(-4) - 3/a^2 + a^2 - 
   a^4 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13235] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13236] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - 
   (6*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13237] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 13238] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (10*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 13239] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 2*z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 - (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13240] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 13241] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13242] -> 
  a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13243] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13244] -> -8 + 4/a^2 + 6*a^2 - a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13245] -> 2 + a^2 - 6*a^4 + 5*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 
   18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 13246] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 16*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 13247] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 + z^2/a^4 - (5*z^2)/a^2 - a^4*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 13248] -> 1 - a^(-10) + 5/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 + (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13249] -> 3*a^4 - 2*a^6 - 2*a^8 + 4*a^10 - 2*a^12 + 
   7*a^4*z^2 - 4*a^6*z^2 - 4*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   5*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 13250] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   2*z^2 + (6*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 - 
   (4*z^4)/a^4 - (4*z^4)/a^2, Knot[14, NonAlternating, 13251] -> 
  a^(-2) - a^4 + a^6 - z^2 + z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 13252] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 3*z^2 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13253] -> 
  -5 - a^(-6) - 2/a^4 + 8/a^2 + a^2 - 13*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13254] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13255] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   3*z^2 + z^2/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 13256] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13257] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13258] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13259] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + 3*a^2*z^2 - 
   a^4*z^2 - z^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13260] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 13*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13261] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 4*z^2 - z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 13262] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 
   (5*z^2)/a^8 + (23*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 - (2*z^4)/a^8 + 
   (21*z^4)/a^6 - (36*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13263] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 13264] -> 
  1 + 2/a^8 - 6/a^6 + 6/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (10*z^2)/a^4 - (6*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + (8*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 13265] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13266] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 - z^2/a^6 - 
   (7*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 - z^4/a^6 - (7*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 13267] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13268] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 13269] -> -a^(-12) + 3/a^10 - 6/a^8 + 
   5/a^6 - (2*z^2)/a^12 + (11*z^2)/a^10 - (16*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 + (10*z^4)/a^10 - (19*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 13270] -> a^(-10) - 6/a^8 + 10/a^6 - 
   7/a^4 + 3/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (30*z^2)/a^6 - 
   (22*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + (37*z^4)/a^6 - 
   (27*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13271] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 
   6*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13272] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   5*z^2 + 7*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 13273] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 + (5*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13274] -> 
  1 + a^(-10) - 5/a^8 + 5/a^6 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 13275] -> 
  3*a^6 - a^8 - a^10 - a^4*z^2 + 10*a^6*z^2 - 2*a^10*z^2 - a^4*z^4 + 
   8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 13276] -> -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 
   5*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 13277] -> 2 - a^(-2) + a^4 - a^6 + 
   5*z^2 - z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 2*z^4 + z^4/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13278] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + z^4/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 13279] -> -6 + a^(-4) + 10*a^2 - 4*a^4 - 
   14*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13280] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 
   4/a^2 + z^2/a^10 - (15*z^2)/a^8 + (37*z^2)/a^6 - (28*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + (42*z^4)/a^6 - (29*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13281] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 13282] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (17*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13283] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (23*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 13284] -> 
  -4 + 12*a^2 - 9*a^4 + 2*a^6 - 12*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13285] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + (22*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (22*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 13286] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 
   2*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (15*z^2)/a^4 - (8*z^2)/a^2 + 2*z^4 - 
   (5*z^4)/a^6 + (12*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13287] -> 
  -1 - 2/a^4 + 4/a^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 13288] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13289] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13290] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 13291] -> 
  5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 11*z^2 - (4*z^2)/a^2 - 12*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 13292] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - 
   a^2 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13293] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + 
   a^2 + 2*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13294] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 13295] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + 
   a^4 + 8*z^2 - z^2/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 9*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 13296] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 5*z^2 - z^2/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 + 3*z^4 - 5*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13297] -> a^2 + a^8 - a^10 + a^2*z^2 + 4*a^4*z^2 - 
   6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 10*a^6*z^4 + 
   4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 13298] -> 3 - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 13299] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 13300] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 
   3*a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 13301] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13302] -> 2*a^2 - a^4 + z^2 - a^4*z^2 + a^6*z^2 + 
   z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13303] -> 2 - a^(-2) + a^4 - a^6 + 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 13304] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   4*z^4 + z^4/a^4 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 13305] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 13306] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13307] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - z^4/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13308] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 13309] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - 7*a^2*z^4 + 2*a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 13310] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   4*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - a^4*z^4 + 5*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 13311] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13312] -> 
  1 - 3/a^8 + 6/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 13313] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + z^4/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 13314] -> 
  2*a^2 - a^4 - 5*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 13315] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   6*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 13316] -> 
  a^(-2) - a^4 + a^6 - 6*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13317] -> a^(-2) - a^2 + a^4 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13318] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   5*z^2 + z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 13319] -> 3 - 3*a^2 + a^6 + 5*z^2 - 
   z^2/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13320] -> -3 - a^(-4) + 4/a^2 + a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13321] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 4*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - 4*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13322] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13323] -> a^2 + a^4 - a^6 - 2*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + z^4 - 5*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 + z^6 - 
   3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 13324] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13325] -> 
  -5 + 3/a^2 + 3*a^2 - 12*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   5*a^2*z^4 - 2*a^4*z^4 + z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 13326] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^4 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 13327] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 13328] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^4*z^2 + 
   15*a^6*z^2 - 6*a^8*z^2 - a^4*z^4 + 10*a^6*z^4 - 2*a^8*z^4 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 13329] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   (2*z^2)/a^14 - (15*z^2)/a^12 + (14*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   (7*z^4)/a^12 + (15*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 13330] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 25*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 
   9*a^2*z^2 - 34*z^4 - z^4/a^4 + (18*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13331] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   12*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 13332] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 16*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13333] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   20*z^2 + (6*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 13334] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 - (3*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13335] -> a^2 - a^4 + 2*a^6 - a^10 + 4*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 13336] -> 
  2 - 2*a^2 + a^4 + z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13337] -> a^(-2) - a^2 + a^4 - 2*z^2 - a^2*z^2 + 
   2*a^4*z^2 - a^8*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 13338] -> -1 - a^(-6) + 3/a^2 - 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 13339] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + z^4 - 3*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13340] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13341] -> -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 13342] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 13343] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + z^2 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - z^4 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 13344] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 13345] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 13346] -> 
  -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 16*z^2 + z^2/a^4 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 13347] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13348] -> a^2 + a^6 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 13349] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - z^4/a^6 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 13350] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^2 + a^2*z^2 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 13351] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   5*z^4 + z^4/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13352] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 13353] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13354] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13355] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^2 - 2*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13356] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13357] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 13358] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 
   3/a^2 - a^2 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13359] -> 2 - 2*a^2 + 2*a^4 - 3*a^6 + 3*a^8 - 
   a^10 + 2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 13360] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 13361] -> 
  2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13362] -> 3*a^6 - 4*a^8 + 7*a^10 - 7*a^12 + 
   2*a^14 + 9*a^6*z^2 - 9*a^8*z^2 + 19*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 
   10*a^6*z^4 - 11*a^8*z^4 + 18*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   8*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 13363] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 + (7*z^2)/a^6 - (20*z^2)/a^4 + 
   (19*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13364] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 
   3*z^4 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 13365] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 13366] -> 2*a^2 - a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13367] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 13368] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + z^2/a^4 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13369] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13370] -> -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 13371] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 18*z^2 + 
   (5*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13372] -> -3 + a^(-4) + 4*a^2 - a^4 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 13373] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + z^6 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13374] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13375] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13376] -> -2/a^6 + 3/a^4 + z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 13377] -> 
  -2/a^6 + 3/a^4 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13378] -> 4 - 2/a^2 - a^4 + z^2 + 3*a^2*z^2 - 
   a^4*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13379] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 13380] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 5*z^2 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   4*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 13381] -> 2/a^8 - 6/a^6 + 5/a^4 - z^2/a^12 + 
   (5*z^2)/a^10 - (4*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + z^4/a^4 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13382] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13383] -> -3 + 8*a^2 - 5*a^4 + 2*a^6 - a^8 - 
   6*z^2 + 20*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 13384] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + (8*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 13385] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 13386] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - 
   a^2 + 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13387] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13388] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 13389] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (5*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 13390] -> 
  3 - a^(-2) - a^2 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 13391] -> 
  2*a^4 - a^8 + 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 13392] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 - 
   z^6 - z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13393] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^4 - 
   (4*z^2)/a^2 - z^4/a^6 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13394] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13395] -> -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 13396] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 11*z^2 + z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 13397] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 13398] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 6*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13399] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13400] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 
   3*a^2*z^6 - z^8, Knot[14, NonAlternating, 13401] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 + (7*z^2)/a^6 - (19*z^2)/a^4 + 
   (19*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13402] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13403] -> -2 + 2/a^2 + a^4 - 6*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13404] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 5*z^4 - (3*z^4)/a^2 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 13405] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 6*a^2*z^4 - 2*a^4*z^4 + 
   z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13406] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - 
   (13*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 - (7*z^6)/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13407] -> 3 - a^(-2) - a^2 - 6*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 + z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 
   19*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13408] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + z^2/a^2 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13409] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   3*z^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13410] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^4 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 13411] -> 1 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13412] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (12*z^4)/a^8 + (18*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 13413] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   23*z^4 + z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (4*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13414] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 
   (4*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13415] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 13416] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 
   3/a^2 + 5*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^6 + z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13417] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   10*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 13418] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 13419] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (9*z^4)/a^8 + (16*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 13420] -> 
  2 + a^(-4) - 2/a^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 13421] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 13422] -> 
  1 + 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 13423] -> 
  3*a^2 - 5*a^4 + 4*a^6 - a^10 + 6*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 
   a^10*z^4 - 4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 13424] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 - z^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 
   12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 13425] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - 3*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13426] -> 2*a^2 - a^4 + z^2 - (3*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13427] -> a^(-2) - a^2 + a^4 - z^2 - a^2*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13428] -> 
  1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 13429] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^2 + 6*a^2*z^2 - 2*a^6*z^2 + z^4 - 
   z^4/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 13430] -> 1 + 3*z^2 - z^2/a^4 - 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 6*z^4 - 5*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 13431] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 + (5*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13432] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 12*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 13433] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 13434] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 - (2*z^2)/a^2 - 3*a^4*z^2 + 
   a^6*z^2 + z^4 + z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13435] -> 
  2*a^2 - 2*a^6 + a^8 - a^2*z^2 + 6*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 + z^4 - 
   5*a^2*z^4 + 9*a^4*z^4 - 5*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 13436] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   21*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 13437] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13438] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 13439] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 12*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 
   z^6 + 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13440] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 - z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 13441] -> 2 + a^(-6) - a^(-4) - a^(-2) - 
   z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 13442] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^8 + (5*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 + 
   (4*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 13443] -> 
  2 + 2/a^6 - 3/a^4 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 - 3*z^4 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 13444] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13445] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 2*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 13446] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13447] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 13448] -> 
  1 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 13449] -> 2 + a^(-4) - 2/a^2 + z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13450] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13451] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13452] -> 
  2*a^2 - a^4 - 2*z^2 - z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13453] -> 1 - a^2 + 2*a^4 - a^6 + 2*a^6*z^2 - 
   a^8*z^2 - z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 13454] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - 2*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 13455] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 13456] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13457] -> -a^(-10) + 5/a^6 - 7/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 13458] -> 2*a^2 - a^4 + z^2 - z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - 
   z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13459] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13460] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13461] -> 4*a^4 - 4*a^6 + 2*a^10 - a^12 + 
   8*a^4*z^2 - 7*a^6*z^2 - 3*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   6*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 13462] -> 5*a^4 - 7*a^6 + 4*a^8 - a^10 + 
   10*a^4*z^2 - 16*a^6*z^2 + 9*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   14*a^6*z^4 + 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 13463] -> 2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + 
   3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 13464] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 + 3*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - z^4 + a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 13465] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 13466] -> 2 - a^2 - 2*a^4 + 3*a^6 - 
   a^8 + 3*z^2 - 6*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 - 
   5*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13467] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13468] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13469] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + 2*a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 13470] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - z^2 + z^2/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13471] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 13472] -> 2 + a^(-8) - a^(-6) - a^(-2) + 
   z^2 - (2*z^2)/a^6 - z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13473] -> a^6 + 2*a^8 - 3*a^12 + a^14 + 4*a^6*z^2 + 
   7*a^8*z^2 + 2*a^10*z^2 - 3*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 7*a^8*z^4 + 
   3*a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 13474] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   8*a^4*z^2 - 7*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   8*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 3*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 13475] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 13476] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   9*a^4*z^2 - 12*a^6*z^2 + 6*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 11*a^6*z^4 + 
   2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 13477] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + z^2 + z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13478] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - 
   6*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 13479] -> -a^2 + 5*a^4 - 3*a^6 - 4*a^2*z^2 + 
   12*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 13480] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 13481] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13482] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 
   (3*z^2)/a^8 + (20*z^2)/a^6 - (31*z^2)/a^4 + (13*z^2)/a^2 - z^4/a^8 + 
   (18*z^4)/a^6 - (39*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13483] -> 3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 
   5*z^2 - z^2/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 13484] -> 
  a^(-10) - 5/a^8 + 13/a^6 - 16/a^4 + 8/a^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (36*z^2)/a^6 - (38*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (41*z^4)/a^6 - (35*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13485] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13486] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 
   6/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (22*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (16*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 13487] -> -7 + 2/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 
   18*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 13488] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (31*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13489] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (27*z^2)/a^4 + (18*z^2)/a^2 - z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (25*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 13490] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13491] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 
   6/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (22*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (16*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 13492] -> -7 + 2/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 
   18*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 13493] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (31*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13494] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (27*z^2)/a^4 + (18*z^2)/a^2 - z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (25*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 13495] -> -4/a^8 + 11/a^6 - 11/a^4 + 5/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (30*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (35*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 13496] -> 
  3*a^4 - 6*a^8 + 6*a^10 - 2*a^12 + 7*a^4*z^2 - 15*a^8*z^2 + 13*a^10*z^2 - 
   2*a^12*z^2 + 5*a^4*z^4 - 5*a^6*z^4 - 15*a^8*z^4 + 8*a^10*z^4 + a^4*z^6 - 
   5*a^6*z^6 - 7*a^8*z^6 + a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 13497] -> -9 - a^(-4) + 4/a^2 + 12*a^2 - 5*a^4 - 
   27*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 30*a^2*z^2 - 9*a^4*z^2 - 31*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13498] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 
   6/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (26*z^2)/a^6 - (30*z^2)/a^4 + 
   (11*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (33*z^4)/a^6 - (32*z^4)/a^4 + 
   (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13499] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 13500] -> 3*a^2 - 8*a^4 + 12*a^6 - 
   7*a^8 + a^10 + 9*a^2*z^2 - 26*a^4*z^2 + 32*a^6*z^2 - 12*a^8*z^2 + 
   a^10*z^2 + 9*a^2*z^4 - 32*a^4*z^4 + 30*a^6*z^4 - 7*a^8*z^4 + 5*a^2*z^6 - 
   20*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 13501] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13502] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 13503] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 13504] -> 
  -a^2 + 4*a^4 - 3*a^8 + a^10 - 3*a^2*z^2 + 10*a^4*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   6*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 13505] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (15*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 13506] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 5*z^2 - 7*a^2*z^2 - 4*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + 2*z^4 - 7*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 13507] -> 
  4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + 10*a^4*z^2 - 15*a^6*z^2 + 10*a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 13508] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 13509] -> 
  2 - a^2 - 2*a^4 + 2*a^6 + a^8 - a^10 + 3*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - 3*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4, 
 Knot[14, NonAlternating, 13510] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   3*a^2*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 + a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 13511] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 13512] -> -3*a^4 + 13*a^6 - 12*a^8 + 3*a^10 - 
   10*a^4*z^2 + 38*a^6*z^2 - 27*a^8*z^2 + 5*a^10*z^2 - 14*a^4*z^4 + 
   46*a^6*z^4 - 24*a^8*z^4 + 2*a^10*z^4 - 7*a^4*z^6 + 29*a^6*z^6 - 
   9*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 13513] -> -2 + 10*a^2 - 12*a^4 + 6*a^6 - a^8 - 
   5*z^2 + 24*a^2*z^2 - 33*a^4*z^2 + 16*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   25*a^2*z^4 - 40*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 13514] -> -2 - a^(-2) + 10*a^2 - 7*a^4 + a^6 - 
   5*z^2 - (2*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   25*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 13515] -> 
  -2 + a^(-6) - 7/a^4 + 10/a^2 - a^2 - 5*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (25*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13516] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + (4*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 13517] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 15*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 13518] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (22*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + (15*z^4)/a^10 - (31*z^4)/a^8 + 
   (17*z^4)/a^6 + (7*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 13519] -> 
  -4 - 5/a^4 + 10/a^2 - 12*z^2 - (12*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 - 
   (13*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 13520] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (4*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 13521] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 13522] -> 3/a^14 - 8/a^12 + 4/a^10 + a^(-8) + 
   a^(-6) + (2*z^2)/a^14 - (15*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 13523] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 8*z^2 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   9*z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13524] -> 4*a^6 - 3*a^8 + a^2*z^2 - 2*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + 2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 13525] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13526] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 4*a^4*z^2 - 
   5*a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 2*a^4*z^4 - 6*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 - 2*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 13527] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 13528] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^10 + z^2/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 13529] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 3*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 13530] -> 
  a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 - a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 13531] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) - z^2/a^6 - z^2/a^4 - z^4 - z^4/a^8 + (2*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 13532] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   z^4/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13533] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13534] -> -3/a^8 + 4/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 13535] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 3*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13536] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (16*z^4)/a^6 - (30*z^4)/a^4 + (10*z^4)/a^2 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13537] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13538] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 13539] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 
   13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13540] -> -a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13541] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^6 + 
   (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 13542] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 13543] -> -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^2 + a^2*z^4 + 
   a^4*z^4, Knot[14, NonAlternating, 13544] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 13545] -> -2/a^8 + 7/a^6 - 9/a^4 + 
   5/a^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 + 
   (5*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 13546] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   6*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 3*z^4 - z^4/a^2 + 
   15*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13547] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13548] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 
   8*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 
   16*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13549] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13550] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   2*a^4*z^2 + 9*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 3*a^4*z^4 + 
   13*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 8*a^6*z^6 - 5*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 13551] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13552] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 13553] -> 
  -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 
   a^2*z^4 + a^4*z^4 + 10*a^6*z^4 - a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 13554] -> 2 + a^(-8) - a^(-6) - a^(-2) + z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 13555] -> 1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + 
   a^4 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^4 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 13556] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (7*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 13557] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (13*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (10*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13558] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 7*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 13559] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 3*z^2 + z^2/a^2 - a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 
   z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 13560] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 13561] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13562] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - z^4 - (5*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 13563] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (7*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 13564] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 13565] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 13566] -> 2*a^4 - a^8 + 4*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 - 
   a^4*z^6 - 2*a^6*z^6, Knot[14, NonAlternating, 13567] -> 
  2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 13568] -> 
  3*a^6 - 2*a^8 + 2*a^10 - 3*a^12 + a^14 + a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 
   8*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 + 7*a^10*z^4 - 
   a^6*z^6 - 3*a^8*z^6, Knot[14, NonAlternating, 13569] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + z^2/a^4 - (8*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 8*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 13570] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 13571] -> 3 - a^(-2) - a^2 + 6*z^2 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13572] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13573] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^4 - (2*z^2)/a^2 - a^6*z^2 + 2*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 13574] -> 2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13575] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   3*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + 2*a^6*z^6, Knot[14, NonAlternating, 13576] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (11*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 13577] -> 3*a^6 - 3*a^8 + 5*a^10 - 6*a^12 + 
   2*a^14 + 9*a^6*z^2 - 8*a^8*z^2 + 16*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 
   10*a^6*z^4 - 11*a^8*z^4 + 17*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   8*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 13578] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 13579] -> 
  -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 13580] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13581] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 11*z^2 + 
   z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13582] -> -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 13583] -> 
  1 + 4*z^2 - (4*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 8*z^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 13584] -> 2 + a^(-4) - 2/a^2 + 5*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 - z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13585] -> -1 + a^(-2) + a^2 - z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 13586] -> 
  a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 13587] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 22*z^2 + 
   (6*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13588] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (17*z^4)/a^6 - (6*z^4)/a^4 - (6*z^6)/a^8 + (17*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 13589] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13590] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13591] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 13592] -> a^(-8) - 5/a^6 + 6/a^4 - 
   a^(-2) - (2*z^2)/a^8 - z^2/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13593] -> 4 - 2/a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13594] -> 
  -1 - 2/a^4 + 4/a^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13595] -> 
  -4 + 10*a^2 - 5*a^4 - 8*z^2 + 23*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   17*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 13596] -> -a^(-2) + 5*a^2 - 3*a^4 + 
   3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*z^4 + a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13597] -> -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13598] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 13599] -> 2 - a^(-2) + a^2 - a^4 + 
   6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13600] -> 2*a^4 - a^8 - 2*a^2*z^2 + 7*a^4*z^2 - 
   a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13601] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13602] -> 2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 7*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 13603] -> 
  4 + a^(-6) - a^(-4) - a^(-2) - 4*a^2 + 2*a^4 + 9*z^2 - z^2/a^4 - 
   (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6, Knot[14, NonAlternating, 13604] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 
   4/a^4 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 13605] -> 
  4*a^4 - 4*a^6 + a^8 + 9*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 
   4*a^4*z^4 - 10*a^6*z^4 + a^10*z^4 - 3*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 13606] -> 6*a^8 - 5*a^10 - a^12 + a^14 + 
   18*a^8*z^2 - 7*a^10*z^2 - 3*a^12*z^2 + 2*a^6*z^4 + 16*a^8*z^4 - a^12*z^4 + 
   a^6*z^6 + 4*a^8*z^6 + a^10*z^6, Knot[14, NonAlternating, 13607] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - 7*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 
   2*z^4 - 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 13608] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   7*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 13609] -> 2 - 3*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - 
   a^10 + 2*z^2 - 6*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - z^4 - 
   3*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + a^2*z^6 + 3*a^4*z^6, 
 Knot[14, NonAlternating, 13610] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - 
   a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13611] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 - 
   (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 13612] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 5*a^2*z^2 - a^4*z^2 - 2*z^4 + 7*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13613] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13614] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   10*z^4 + z^4/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 13615] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   4*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 13616] -> 
  2 - 2*a^2 + 2*a^6 - a^8 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 13617] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   3*z^4 + 3*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 13618] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13619] -> 1 + z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 
   3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 13620] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 5*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 13621] -> a^2 + a^4 - a^6 - z^2/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13622] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13623] -> 6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 
   11*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 7*z^4 - z^4/a^2 - 
   7*a^2*z^4 + a^6*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 13624] -> 5*a^4 - 6*a^6 + a^8 + 2*a^10 - a^12 + 
   10*a^4*z^2 - 13*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 + 4*a^4*z^4 - 
   11*a^6*z^4 - a^8*z^4 + a^10*z^4 - 3*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 13625] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 + z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13626] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 2*z^2 - 
   8*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 13627] -> -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 13628] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 13629] -> 
  -2*a^2 + 8*a^4 - 6*a^6 + a^8 - 5*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 
   3*a^2*z^4 + 11*a^4*z^4 - a^6*z^4 - a^8*z^4 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13630] -> 4 - 2/a^2 - a^4 + 8*z^2 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 8*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 13631] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 7*z^2 - z^2/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 2*z^6, Knot[14, NonAlternating, 13632] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 + a^2*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 
   a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 2*a^2*z^6 + 3*a^4*z^6, 
 Knot[14, NonAlternating, 13633] -> 2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 13634] -> 
  3 - 5*a^2 + 3*a^4 + a^6 - a^8 + 4*z^2 - 12*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + z^4 - 8*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 13635] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 8*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 13636] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^4 + z^4/a^2 + 6*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 13637] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   z^2 - 8*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + z^4 + z^4/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - z^6 - 3*a^2*z^6, Knot[14, NonAlternating, 13638] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 13639] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 
   12*z^2 - (4*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 10*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13640] -> -a^2 + 6*a^4 - 6*a^6 + 3*a^8 - a^10 - 
   3*a^2*z^2 + 13*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - 
   6*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 13641] -> a^(-16) - 2/a^14 + 2/a^12 - 6/a^10 + 
   6/a^8 - (2*z^2)/a^14 - (8*z^2)/a^10 + (18*z^2)/a^8 - (2*z^4)/a^10 + 
   (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 13642] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 5*a^4*z^2 - 8*a^6*z^2 + 16*a^8*z^2 - 
   6*a^10*z^2 + 2*a^4*z^4 - 7*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 - 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 13643] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 4*z^2 + z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - (2*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 13644] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + (8*z^2)/a^8 - (16*z^2)/a^6 + 
   (11*z^2)/a^4 + z^4/a^10 + (4*z^4)/a^8 - (18*z^4)/a^6 + (7*z^4)/a^4 - 
   (8*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 13645] -> 
  7 - 4/a^2 - a^2 - a^6 + 21*z^2 - (10*z^2)/a^2 - 3*a^2*z^2 - a^6*z^2 + 
   21*z^4 - (6*z^4)/a^2 - a^2*z^4 + 8*z^6 - z^6/a^2 + z^8, 
 Knot[14, NonAlternating, 13646] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 13647] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 13648] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 
   2/a^4 - z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 13649] -> -a^(-8) - a^(-6) + 4/a^4 - 
   a^(-2) - z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13650] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 
   2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 13651] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^6 - z^4/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 13652] -> -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 13653] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13654] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 
   2*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13655] -> 
  2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 - 
   3*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 13656] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - (2*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^10 + (3*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 13657] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13658] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 + z^2 - z^2/a^2 + 8*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 13659] -> 
  a^(-16) - a^(-14) - 2/a^12 - a^(-10) + 4/a^8 - (2*z^2)/a^14 - 
   (4*z^2)/a^12 + (15*z^2)/a^8 - z^4/a^12 + (3*z^4)/a^10 + (19*z^4)/a^8 + 
   z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 13660] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   z^4/a^10 + z^4/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 13661] -> 3 - a^(-8) + a^(-6) + a^(-4) - 
   2/a^2 - a^2 + 6*z^2 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 13662] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13663] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 6*z^4 - (4*z^4)/a^2 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13664] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 13665] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 - (4*z^2)/a^4 + (4*z^2)/a^2 - z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13666] -> 
  1 - 3/a^4 + 5/a^2 - 3*a^2 + a^4 + z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 - (4*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13667] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + z^2/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 13668] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 13669] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 - a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 13670] -> 
  1 + z^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13671] -> 2*a^2 - a^4 - z^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 13672] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^4 + a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 13673] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 13674] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 7*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + a^4*z^2 - 
   5*z^4 + (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 13675] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - z^4 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13676] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 13677] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 3*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   5*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 - 5*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 13678] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13679] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13680] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^10 + 
   (8*z^4)/a^8 - z^4/a^6 + z^4/a^4 - z^6/a^10 + (5*z^6)/a^8 - z^6/a^6 + 
   z^8/a^8, Knot[14, NonAlternating, 13681] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   9*z^2 - (6*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 13682] -> 2/a^12 - 5/a^10 + a^(-8) + 
   3/a^6 + (3*z^2)/a^12 - (11*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 + 
   z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - z^6/a^10 + z^6/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 13683] -> 2/a^16 - 3/a^14 - 5/a^12 + 
   7/a^10 + (3*z^2)/a^16 - (15*z^2)/a^14 - (4*z^2)/a^12 + (28*z^2)/a^10 + 
   z^4/a^16 - (19*z^4)/a^14 + (15*z^4)/a^12 + (42*z^4)/a^10 - (8*z^6)/a^14 + 
   (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 13684] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 7*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (14*z^2)/a^2 - 5*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13685] -> 3 - 3/a^2 + 5*a^2 - 4*a^4 + 11*z^2 - 
   (8*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 13*z^4 - (5*z^4)/a^2 + 13*a^2*z^4 - 
   5*a^4*z^4 + 6*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 13686] -> -3 - 3/a^6 + 2/a^4 + 5/a^2 - 7*z^2 - 
   (7*z^2)/a^6 + (10*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 13687] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 10*z^2 - (6*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   10*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13688] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^8 + (9*z^2)/a^6 - 
   (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 13689] -> -a^(-8) + a^(-6) + a^(-2) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 - 
   z^6/a^4, Knot[14, NonAlternating, 13690] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 - z^2/a^10 + z^2/a^8 + (4*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 13691] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 13692] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 9*z^2 - (3*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 8*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 13693] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13694] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 13695] -> 
  3 - a^(-2) - 2*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 13696] -> 1 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 13697] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 16*a^2*z^2 - 16*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 2*z^4 + 13*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13698] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   5*z^2 + 14*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   12*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 13699] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13700] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - (5*z^4)/a^8 + (19*z^4)/a^6 - (25*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 13701] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   5*z^2 + 17*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   13*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 13702] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 
   15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 13703] -> 2 - a^(-2) + a^2 - a^4 - 
   4*z^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 13704] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 13705] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 7*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 + 
   (16*z^2)/a^2 + a^2*z^2 - 3*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + 
   (12*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13706] -> 2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 13707] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13708] -> 1 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 13709] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (12*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13710] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 
   10*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 7*a^2*z^4 - 22*a^4*z^4 + 
   22*a^6*z^4 - 6*a^8*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 13711] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 13712] -> -2 + a^(-4) + 2*a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13713] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 13714] -> a^(-10) - 2/a^8 + 3/a^6 - 
   5/a^4 + 4/a^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13715] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 
   5*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13716] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   18*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 13717] -> 
  a^(-10) - 2/a^8 + 4/a^6 - 7/a^4 + 5/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 13718] -> 2 + a^(-6) - a^(-4) - a^(-2) - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 13719] -> 
  1 - 2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13720] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13721] -> a^(-4) - a^(-2) + a^2 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13722] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 13723] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13724] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13725] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13726] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   12*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 21*z^4 + 
   (7*z^4)/a^2 + 24*a^2*z^4 - 6*a^4*z^4 - 18*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13727] -> 1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13728] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 13729] -> a^2 + a^4 - a^6 - 6*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 13730] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + z^4/a^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13731] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   5*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 13732] -> 3 - a^(-2) - a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13733] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 13734] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   10*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13735] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13736] -> 3 + a^(-6) - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 13737] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 13738] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13739] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   2*z^2 - (2*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13740] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13741] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   3*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 13742] -> 3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^2 + 11*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13743] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   4*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   9*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13744] -> -2 + 2/a^2 + a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 13745] -> 
  1 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13746] -> 2*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13747] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (12*z^2)/a^10 - (22*z^2)/a^8 + (13*z^2)/a^6 + (3*z^2)/a^4 + 
   (10*z^4)/a^10 - (24*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 13748] -> a^(-2) - a^2 + a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13749] -> -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13750] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 7*z^4 + 21*a^2*z^4 - 
   23*a^4*z^4 + 6*a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 13751] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + (3*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + 
   (10*z^2)/a^6 + (3*z^4)/a^12 - (7*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 13752] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   (5*z^2)/a^16 - (17*z^2)/a^14 - (7*z^2)/a^12 + (30*z^2)/a^10 + 
   (2*z^4)/a^16 - (22*z^4)/a^14 + (12*z^4)/a^12 + (43*z^4)/a^10 - 
   (9*z^6)/a^14 + (19*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 13753] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 + z^4/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 + z^8/a^4, Knot[14, NonAlternating, 13754] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + (3*z^2)/a^12 - (10*z^2)/a^10 + 
   (3*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + 
   (5*z^4)/a^6 - z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 13755] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^8 + z^8/a^6, Knot[14, NonAlternating, 13756] -> 
  6 - 3/a^2 - a^2 - a^4 + 8*z^2 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13757] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 13758] -> a^(-12) - 2/a^10 + 2/a^4 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[14, NonAlternating, 13759] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 + 
   z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 13760] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 13761] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13762] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 13763] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 - a^2*z^2 - 5*a^4*z^2 + 26*a^6*z^2 - 
   14*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 13764] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 13765] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - 4*z^2 + 13*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 13766] -> 
  2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 2*z^2 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 13767] -> 
  a^(-6) - a^(-4) + a^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13768] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13769] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13770] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13771] -> a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + 
   (5*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13772] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13773] -> -a^(-4) + 2/a^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - 
   (6*z^4)/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 13774] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 11*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13775] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13776] -> 2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + 
   (5*z^2)/a^12 - (10*z^2)/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^12 - 
   (10*z^4)/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 13777] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 + (2*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 13778] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 3*z^2 - (7*z^2)/a^6 + (14*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 - z^6/a^6 + (7*z^6)/a^4 + 
   z^8/a^4, Knot[14, NonAlternating, 13779] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 
   2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6, Knot[14, NonAlternating, 13780] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^12 + (2*z^2)/a^8 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 13781] -> -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 13782] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13783] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 + (5*z^4)/a^6 - (21*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 13784] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 11*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 9*z^4 - z^4/a^2 - 12*a^2*z^4 + a^6*z^4 + 2*z^6 - 
   6*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 13785] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 13786] -> 
  1 - 5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13787] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   7*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13788] -> -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 13789] -> 1 - 2*a^2 + 3*a^4 - a^8 + 
   z^2 + a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 
   15*a^4*z^4 + 5*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 13790] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 7*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13791] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 13792] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + z^2 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 13793] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 13794] -> 2*a^2 - a^4 + a^6 - 2*a^8 + 
   a^10 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^6*z^4, 
 Knot[14, NonAlternating, 13795] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 13796] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13797] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 13798] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 13799] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13800] -> 3 + a^(-6) - 3/a^2 + 4*z^2 - z^2/a^8 + 
   (6*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 + (10*z^4)/a^4 - 
   (10*z^4)/a^2 + (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 13801] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 13802] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13803] -> -1 + a^(-4) + a^4 - 5*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13804] -> 2 + a^(-6) - a^(-4) - a^(-2) - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13805] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 - 15*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 
   14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 13806] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13807] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13808] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 13809] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 
   25*a^4*z^4 + 24*a^6*z^4 - 6*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 13810] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13811] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 10*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 13812] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13813] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   6*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 
   26*a^4*z^4 + 23*a^6*z^4 - 6*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 13814] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (5*z^2)/a^12 - (14*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^6 + (4*z^4)/a^12 - 
   (14*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 13815] -> 
  a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 13816] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 13817] -> 4 + 2/a^6 - 3/a^4 - a^(-2) - 
   a^2 + 3*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 - z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 13818] -> 6*a^2 - 10*a^4 + 6*a^6 - a^8 - 
   4*z^2 + 16*a^2*z^2 - 24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 20*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 13819] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13820] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   5*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13821] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 13822] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 13823] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^6, Knot[14, NonAlternating, 13824] -> 
  a^(-4) - 2*a^2 + 2*a^4 - z^2/a^6 - 4*a^2*z^2 + 2*z^4 + z^4/a^4 + 
   (2*z^4)/a^2, Knot[14, NonAlternating, 13825] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^2 + 
   z^4/a^6 + z^4/a^4, Knot[14, NonAlternating, 13826] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 
   3*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 13827] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 13828] -> 
  3 - a^(-4) - a^4 + 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 13829] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 13830] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 13831] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 13832] -> -a^(-4) + 2/a^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 13833] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 
   2*a^2 - 10*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13834] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13835] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 13836] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (22*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + (11*z^4)/a^10 - (23*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 13837] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 - z^8, Knot[14, NonAlternating, 13838] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 13839] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 13840] -> 3 - 3*a^2 + a^4 - a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 13841] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 4*z^4 + (2*z^4)/a^4 - z^4/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 13842] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 13843] -> -2 + a^(-4) + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13844] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 13845] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 17*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13846] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   10*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13847] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 13848] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + 
   a^2 - 6*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 13849] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 20*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (23*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (23*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 13850] -> 
  -3 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 13851] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 6*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 13852] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13853] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + 15*a^2*z^4 - 17*a^4*z^4 + 
   5*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 13854] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 13855] -> 
  2 - a^(-4) + a^(-2) - a^2 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   6*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 13856] -> 
  1 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^4 + (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 13857] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - a^2*z^2 - 
   3*a^4*z^2 + 21*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 22*a^6*z^4 - 
   9*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 13858] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 13859] -> a^(-10) - 3/a^8 + 4/a^6 - 
   4/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 13860] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 13861] -> 1 + a^4 - 2*a^6 + a^8 - z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - z^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 13862] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 13863] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (10*z^2)/a^10 - 
   (18*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + (9*z^4)/a^10 - (20*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 13864] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 13865] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^4 - z^2/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 13866] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13867] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13868] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 
   7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13869] -> 2 - a^2 - a^4 + a^6 - z^2/a^2 + 
   5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^2 + 10*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13870] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (11*z^2)/a^10 - (19*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^2)/a^4 + (9*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 13871] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 
   2*z^2 - (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 13872] -> 
  a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (3*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 - (5*z^4)/a^14 + (2*z^4)/a^12 + 
   (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 13873] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 13874] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 - a^2*z^2 - 
   z^4/a^6 + (8*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 13875] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + (3*z^2)/a^10 + z^2/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 13876] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 - 
   z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13877] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 13878] -> -1 + 6*a^4 - 4*a^6 - 4*z^2 + 5*a^2*z^2 + 
   10*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + 6*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 
   2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 13879] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + (5*z^2)/a^8 - (15*z^2)/a^6 + 
   (14*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^8 - (14*z^4)/a^6 + (9*z^4)/a^4 - 
   z^4/a^2 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 13880] -> -3*a^2 + 9*a^4 - 5*a^6 - 9*a^2*z^2 + 
   23*a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 - 8*a^2*z^4 + 23*a^4*z^4 - 3*a^8*z^4 - 
   2*a^2*z^6 + 11*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 13881] -> 2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + 
   (5*z^2)/a^16 - (19*z^2)/a^14 - (2*z^2)/a^12 + (28*z^2)/a^10 + 
   (2*z^4)/a^16 - (23*z^4)/a^14 + (16*z^4)/a^12 + (42*z^4)/a^10 - 
   (9*z^6)/a^14 + (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 13882] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 2*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - 
   z^2/a^4 + (7*z^2)/a^2 - z^4 + z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + 
   (4*z^4)/a^2 - z^6/a^6 + z^6/a^2, Knot[14, NonAlternating, 13883] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 + z^2/a^8 - (5*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13884] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 - 
   a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 13885] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 
   2/a^8 + (2*z^2)/a^16 - (10*z^2)/a^14 - (2*z^2)/a^12 + (13*z^2)/a^10 + 
   (8*z^2)/a^8 - (7*z^4)/a^14 + (4*z^4)/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 13886] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 - (3*z^2)/a^6 + (2*z^2)/a^2 - z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 13887] -> 
  2*a^4 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 13888] -> 
  a^(-16) - 2/a^14 - a^(-12) + a^(-10) + a^(-8) + a^(-6) - (3*z^2)/a^14 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   z^4/a^12 + (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + 
   (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 13889] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + (3*z^2)/a^6 + z^2/a^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13890] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) + (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 13891] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (14*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13892] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (31*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 13893] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13894] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (25*z^2)/a^4 + (10*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (32*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 13895] -> 
  -2 + 2/a^2 + a^4 - 10*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   3*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13896] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 24*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 7*a^2*z^2 - 28*z^4 + z^4/a^6 - 
   (15*z^4)/a^4 + (35*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13897] -> 3*a^2 - 3*a^4 + a^6 + z^2 + a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - a^4*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 13898] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13899] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13900] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13901] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   10*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13902] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 + 
   (9*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 13903] -> a^2 + a^6 - a^8 - 3*z^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13904] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (25*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (15*z^4)/a^6 - (36*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 13905] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 13906] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   22*a^2*z^2 - 7*a^4*z^2 - 34*z^4 - z^4/a^4 + (16*z^4)/a^2 + 28*a^2*z^4 - 
   5*a^4*z^4 - 24*z^6 + (7*z^6)/a^2 + 13*a^2*z^6 - a^4*z^6 - 8*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 13907] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 13908] -> a^(-8) - 4/a^6 + 4/a^4 + 
   2*z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 13909] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13910] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - z^4 + z^4/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 13911] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13912] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (3*z^2)/a^14 - (4*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 13913] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 13914] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (5*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 + 
   (4*z^4)/a^8 - (13*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 13915] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 13916] -> 
  -3*a^2 + 8*a^4 - 3*a^6 - a^8 - 9*a^2*z^2 + 23*a^4*z^2 - 5*a^6*z^2 - 
   2*a^8*z^2 - 6*a^2*z^4 + 21*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   8*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 13917] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (3*z^2)/a^16 - (16*z^2)/a^14 - 
   z^2/a^12 + (27*z^2)/a^10 + z^4/a^16 - (19*z^4)/a^14 + (16*z^4)/a^12 + 
   (42*z^4)/a^10 - (8*z^6)/a^14 + (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 13918] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   z^2/a^14 - (7*z^2)/a^12 + (7*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - 
   (3*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 13919] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - (3*z^2)/a^10 + (14*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 13920] -> -a^(-10) + a^(-6) + a^(-4) - 
   (3*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - (3*z^4)/a^10 + (6*z^4)/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 + z^8/a^8 + z^8/a^6, Knot[14, NonAlternating, 13921] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^4 - 
   (2*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 13922] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^12 + 
   z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 13923] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13924] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 - 
   (7*z^2)/a^6 + (15*z^2)/a^4 - z^2/a^2 - z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 - 
   z^4/a^2 - z^6/a^6 + (7*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 13925] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 13926] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 13927] -> -a^(-4) + 2/a^2 + 3*z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 13928] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - 
   (7*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 13929] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 12*z^2 + z^2/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 10*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 13930] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   8*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 13931] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   4*z^2 - z^2/a^2 - 9*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   9*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 13932] -> 
  2*a^2 - a^4 - 3*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 13933] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (17*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 13934] -> 2*a^4 - a^8 - 3*z^2 + 6*a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 13935] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13936] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   23*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 13937] -> -a^2 + 5*a^4 - 3*a^6 + 3*z^2 - z^2/a^2 - 
   7*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   11*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 13938] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 13939] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 - 3*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 13940] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13941] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*z^4 - 5*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 13942] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - 
   2*z^2 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 13943] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 13944] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 13945] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 
   z^6 - a^4*z^6, Knot[14, NonAlternating, 13946] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 13947] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 
   z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 13948] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 19*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13949] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 13950] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 13951] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13952] -> -a^(-6) + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13953] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 
   6*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 13954] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13955] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   4*z^2 + (5*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 13956] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 13957] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 13958] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 13959] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 13960] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 13961] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (21*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 + 
   (11*z^4)/a^10 - (23*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 13962] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) + (6*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 13963] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 13964] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 + 
   (5*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 13965] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 13966] -> 2 + 2/a^6 - 3/a^4 + 7*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13967] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 6*z^2 - 
   z^2/a^8 + (13*z^2)/a^6 - (32*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (15*z^4)/a^6 - (41*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 13968] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - z^4/a^2 + 13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 13969] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 + a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 - a^4*z^4 + 9*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 13970] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 13971] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 13972] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 13973] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 13974] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   13*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 13975] -> 
  1 + z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 13976] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 13977] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 13978] -> 
  -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 13979] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (12*z^2)/a^4 - (2*z^2)/a^2 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + z^6/a^8 - (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^8/a^6, Knot[14, NonAlternating, 13980] -> 
  -2 + 5*a^2 - a^4 - a^6 - 3*z^2 + 9*a^2*z^2 - 2*a^4*z^2 + z^4 + 3*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 + z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 13981] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 13982] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   z^2/a^14 - (5*z^2)/a^12 + (2*z^2)/a^10 + (14*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (9*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 13983] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (3*z^2)/a^10 + z^2/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (11*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 13984] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (11*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (11*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 13985] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 13986] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 13987] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13988] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13989] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 13990] -> -1 - 3/a^6 + 2/a^4 + 4/a^2 - a^2 - 
   4*z^2 - (7*z^2)/a^6 + (8*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 - z^6/a^6 + 
   (6*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 13991] -> -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 
   6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13992] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 13993] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 4*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   13*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 13994] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 6*z^2 + 17*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 13995] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 - z^2/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 13996] -> 2 - 2*a^2 + a^4 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13997] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 13998] -> 2 + a^(-4) - 2/a^2 + 5*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 13999] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 14000] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^4*z^2 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14001] -> -a^(-8) + 2/a^4 + (3*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14002] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 14003] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 4*z^2 + (8*z^2)/a^6 - (22*z^2)/a^4 + 
   (19*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 14004] -> 
  -a^(-8) + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14005] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 14006] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 14007] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 14008] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + a^(-2) + a^2 - 3*z^2 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 14009] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + 4*z^4 + 3*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 14010] -> 2*a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 
   a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14011] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 14012] -> 2*a^6 - a^12 + 4*a^4*z^2 + 
   5*a^8*z^2 + a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 + 
   a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 14013] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 13*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14014] -> 2 + 2/a^6 - 3/a^4 + 7*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14015] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (8*z^4)/a^10 - (17*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14016] -> -2 + 2/a^2 + a^4 - 4*z^2 + (2*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 - 6*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14017] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 - a^4*z^2 - 2*a^6*z^2 + 2*z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 14018] -> -2/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14019] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 14020] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 14021] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 14022] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 - 3*a^2*z^2 + 8*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 14023] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (7*z^2)/a^8 - (16*z^2)/a^6 + (8*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^8 - (17*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 14024] -> 
  -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 11*a^2*z^2 + 24*a^4*z^2 - 5*a^8*z^2 - 
   9*a^2*z^4 + 26*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 12*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 14025] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (3*z^2)/a^16 - (18*z^2)/a^14 + (4*z^2)/a^12 + (25*z^2)/a^10 + z^4/a^16 - 
   (20*z^4)/a^14 + (20*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + 
   (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 14026] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 14027] -> -1 + 5*a^4 - 2*a^6 - a^8 - 
   4*z^2 + 3*a^2*z^2 + 12*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   5*a^2*z^4 + 10*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 14028] -> a^(-16) - 2/a^14 - 3/a^12 + 
   4/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 - (2*z^2)/a^12 + (15*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^4)/a^14 + (5*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 14029] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (2*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 14030] -> -2*a^2 + 5*a^4 - 2*a^8 - 2*z^2 - 
   a^2*z^2 + 11*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   8*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14031] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (10*z^2)/a^14 + z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 - 
   (6*z^4)/a^14 + (6*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 14032] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) + z^2 + z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 14033] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - z^2 - 
   z^2/a^2 + 4*a^2*z^2 + 5*a^4*z^2 - a^8*z^2 + z^4 + 3*a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4, Knot[14, NonAlternating, 14034] -> a^(-16) - 2/a^14 - 2/a^12 + 
   2/a^10 + 2/a^8 - (4*z^2)/a^14 - (2*z^2)/a^12 + (8*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 14035] -> -3/a^6 + 5/a^4 - a^(-2) - 
   (7*z^2)/a^6 + (17*z^2)/a^4 - (6*z^2)/a^2 - (5*z^4)/a^6 + (17*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 14036] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 14037] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   (6*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 14038] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 14039] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + (4*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 14040] -> 
  a^2 + a^6 - a^8 + 2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 14041] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   z^2/a^10 - z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 - z^4/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 14042] -> 
  2 + 2/a^6 - 3/a^4 + 4*z^2 + z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 14043] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 
   2*z^2 - a^2*z^2 - a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 14044] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   12*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 14045] -> 
  -1 + a^(-2) + a^2 + z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 5*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 14046] -> -1 + a^(-2) + a^2 - 7*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14047] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 14048] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 9*z^2 + 
   (4*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 14049] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (7*z^2)/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 + (4*z^4)/a^10 - (6*z^4)/a^8 - 
   (12*z^4)/a^6 + (6*z^4)/a^4 - (2*z^6)/a^8 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 14050] -> a^(-6) - 3/a^4 + 3/a^2 + 
   z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 14051] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + (8*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 14052] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + 13*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + a^8*z^2 - 
   5*z^4 + 14*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 - z^6 + 7*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14053] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - a^4*z^2 + 
   17*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 14054] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 21*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 14055] -> 3 + a^(-6) - 2/a^4 - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14056] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (8*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14057] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14058] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + z^2 + 
   5*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14059] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 + 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14060] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 14061] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   (16*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 14062] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 14063] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 2*z^2 + 3*a^2*z^2 - 14*a^4*z^2 + 
   18*a^6*z^2 - 4*a^8*z^2 + z^4 + a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14064] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 
   2*z^2 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14065] -> a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 14066] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (9*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 + (4*z^4)/a^10 - (6*z^4)/a^8 - 
   (11*z^4)/a^6 + (6*z^4)/a^4 - (2*z^6)/a^8 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 14067] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 14068] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 
   8*a^2*z^2 - 20*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 9*a^2*z^4 - 
   30*a^4*z^4 + 25*a^6*z^4 - 6*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 14069] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - a^2*z^2 - 
   4*a^4*z^2 + 24*a^6*z^2 - 16*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   25*a^6*z^4 - 11*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 14070] -> 
  4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 14071] -> -2 - a^(-8) + 2/a^4 + a^(-2) + 
   a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 14072] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (8*z^2)/a^2 + a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 14073] -> 
  a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 14074] -> 
  a^(-10) - 2/a^8 + 4/a^6 - 7/a^4 + 5/a^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + 
   (24*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (34*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 14075] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (28*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (39*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 14076] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + 
   (26*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (34*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 14077] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14078] -> -2 - 3/a^6 + 5/a^4 + a^2 - 6*z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 + z^4/a^2 + a^2*z^4 - z^6 + z^6/a^4, 
 Knot[14, NonAlternating, 14079] -> -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2, Knot[14, NonAlternating, 14080] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2/a^2 - 2*a^4*z^2 + 3*a^6*z^2 - z^4 - 
   2*a^2*z^4 - 2*a^4*z^4, Knot[14, NonAlternating, 14081] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 14082] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 14083] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 14084] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 14085] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   z^2/a^4 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^2 + a^4*z^4, 
 Knot[14, NonAlternating, 14086] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 14087] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (12*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - 
   (13*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 14088] -> -3/a^8 + 4/a^6 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 14089] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - z^4 + z^4/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^6 + z^6/a^2, 
 Knot[14, NonAlternating, 14090] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   6*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 14091] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14092] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (7*z^2)/a^8 - (14*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + (5*z^4)/a^8 - 
   (16*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^8 - (7*z^6)/a^6 - z^8/a^6, 
 Knot[14, NonAlternating, 14093] -> -2/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^4)/a^12 - (3*z^4)/a^10 + (2*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 14094] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 14095] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + 4*a^2*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14096] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 2*z^4 - 5*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 14097] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (5*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14098] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 
   11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 14099] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 14100] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 + z^2/a^4 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 14101] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 - z^4/a^8 - z^4/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 14102] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + 
   (4*z^6)/a^8 - (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 14103] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 
   8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14104] -> -2 + a^(-4) + 2*a^2 - 8*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14105] -> -2 + 6*a^2 - 3*a^4 - 9*z^2 + z^2/a^2 + 
   19*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 9*z^4 + z^4/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 14106] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 - 
   a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 14107] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 14108] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - (4*z^2)/a^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14109] -> -2 + 2/a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 14110] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 14111] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   z^4 + z^4/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14112] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   3*a^6*z^2 - 3*a^8*z^2 - z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 14113] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 6*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   5*a^2*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 14114] -> 4 - 5*a^2 + 2*a^4 - a^6 + a^8 + 5*z^2 - 
   z^2/a^2 - 10*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   z^6, Knot[14, NonAlternating, 14115] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 14116] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 
   a^10*z^2 - a^4*z^4 - 3*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 14117] -> 1 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14118] -> 2*a^2 - 2*a^6 + a^8 + z^2 - a^2*z^2 + 
   4*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + z^4 - 6*a^2*z^4 + 7*a^4*z^4 - 
   6*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14119] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^6 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 14120] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + 2*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 14121] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 2*z^2 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 14122] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 14123] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 
   2*z^2 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4, Knot[14, NonAlternating, 14124] -> 
  a^(-2) - a^6 + a^8 - 3*z^2 + a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 2*a^2*z^4 + 
   2*a^4*z^4, Knot[14, NonAlternating, 14125] -> 
  a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 14126] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 6*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 14127] -> 
  6*a^4 - 8*a^6 + 3*a^8 + 2*z^2 - 4*a^2*z^2 + 11*a^4*z^2 - 14*a^6*z^2 + 
   5*a^8*z^2 + z^4 - 6*a^2*z^4 + 8*a^4*z^4 - 11*a^6*z^4 + 2*a^8*z^4 - 
   2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 14128] -> 3*a^2 - 2*a^4 - a^6 + a^8 - z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 14129] -> 3*a^2 - 2*a^4 - a^6 + a^8 - z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 - 2*z^4 - 
   a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14130] -> 4 - 4*a^2 - 2*a^4 + 4*a^6 - a^8 + z^2 - 
   6*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14131] -> 6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 
   5*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14132] -> 6*a^4 - 7*a^6 + a^8 + a^10 + 2*z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 8*a^6*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 - a^8*z^4 - a^2*z^6, Knot[14, NonAlternating, 14133] -> 
  -3*a^2 + 9*a^4 - 5*a^6 + 6*z^2 - z^2/a^2 - 11*a^2*z^2 + 15*a^4*z^2 - 
   3*a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 4*a^2*z^6 + z^8, Knot[14, NonAlternating, 14134] -> 
  -6 + 4/a^2 + a^2 + 3*a^4 - a^6 - 6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 14135] -> 
  -1 + 2/a^2 - a^2 + a^6 - 4*z^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + 
   2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 14136] -> 
  1 + a^2 - a^4 - a^6 + a^8 - 2*z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   2*a^6*z^2 - z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 14137] -> 3*a^2 - 2*a^4 - a^8 + a^10 - z^2 + 
   z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + a^2*z^4 - 
   4*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 14138] -> 
  a^4 + 2*a^6 - 2*a^8 + 3*z^2 - 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 + z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 14139] -> 2/a^4 - 2/a^2 + a^4 + z^2 - z^2/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 14140] -> 
  4 - 5*a^2 + a^4 + a^6 + 4*z^2 - z^2/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 3*z^4 - 5*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14141] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 7*z^2 - 
   (7*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 14142] -> 
  2*a^2 - a^6 - a^8 + a^10 + z^2 - a^4*z^2 - a^8*z^2 - a^2*z^4 - a^4*z^4, 
 Knot[14, NonAlternating, 14143] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - z^4 - z^4/a^2, 
 Knot[14, NonAlternating, 14144] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   a^2*z^2 + 7*a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   11*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 14145] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 + 3*z^2 - 
   7*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14146] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 
   4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 14147] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 3*z^2 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14148] -> -1 + a^(-4) + a^4 - z^2/a^4 - z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 14149] -> 1 + a^(-6) - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2, 
 Knot[14, NonAlternating, 14150] -> -1 + a^(-4) + a^4 - z^2/a^4 - z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 14151] -> 1 + a^(-6) - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2, 
 Knot[14, NonAlternating, 14152] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   8*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 14153] -> 
  2/a^12 - 6/a^10 + 6/a^8 - 4/a^6 + 3/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (13*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (8*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 14154] -> 
  7 - 3/a^2 - 5*a^2 + 4*a^4 - 2*a^6 + 14*z^2 - (5*z^2)/a^2 - 10*a^2*z^2 + 
   9*a^4*z^2 - 3*a^6*z^2 + 11*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14155] -> 2/a^16 - 4/a^14 + 3/a^8 + (2*z^2)/a^16 - 
   (10*z^2)/a^14 + (8*z^2)/a^10 + (10*z^2)/a^8 - (7*z^4)/a^14 + 
   (5*z^4)/a^12 + (17*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14156] -> 3 - a^(-2) - a^2 + 2*z^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 14157] -> 
  3 - a^(-2) - a^2 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 14158] -> 4 - 2/a^2 - a^4 + 6*z^2 - 
   z^2/a^4 - z^2/a^2 - a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 14159] -> 4 - a^(-4) - 2*a^2 + 6*z^2 - z^2/a^4 - 
   a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14160] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14161] -> 1 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 
   2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14162] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 14163] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14164] -> a^2 + a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14165] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 14166] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - 3*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 14167] -> 6 - 2/a^2 - 4*a^2 + a^4 + 
   13*z^2 + z^2/a^4 - (5*z^2)/a^2 - 12*a^2*z^2 + 4*a^4*z^2 + 10*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 10*a^2*z^4 + 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 14168] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 14169] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 14170] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 14171] -> 3 - a^(-2) - a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 3*z^4 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14172] -> 
  2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 - z^4/a^4 + 
   2*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 14173] -> a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 14174] -> -1 + 3*a^2 - a^6 - 8*z^2 + (2*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 14175] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 8*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 6*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14176] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   9*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14177] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 14178] -> 1 + 2/a^4 - 3/a^2 + a^2 + 4*z^2 - 
   z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 14179] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 14180] -> 
  4*a^8 - 2*a^10 - a^12 + 4*a^6*z^2 + 10*a^8*z^2 - a^10*z^2 - 2*a^12*z^2 + 
   a^4*z^4 + 4*a^6*z^4 + 6*a^8*z^4 + 2*a^10*z^4, 
 Knot[14, NonAlternating, 14181] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 
   2*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 8*a^8*z^2 - z^4 + 2*a^4*z^4 - 
   7*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 14182] -> 
  1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2, 
 Knot[14, NonAlternating, 14183] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (6*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14184] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 4*a^8*z^2 - a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4, 
 Knot[14, NonAlternating, 14185] -> 5*a^4 - 5*a^6 + a^10 + z^2 - 3*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14186] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 9*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 14187] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   2*z^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + z^4 - 2*a^2*z^4 - 
   5*a^4*z^4 - a^6*z^4 + a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14188] -> 4*a^8 - 2*a^10 - a^12 + 4*a^6*z^2 + 
   9*a^8*z^2 - a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 7*a^8*z^4 + 2*a^10*z^4 + 
   a^12*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 14189] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 
   a^4*z^4 - a^6*z^4, Knot[14, NonAlternating, 14190] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 14191] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14192] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + z^2 + 
   2*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14193] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 14194] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 7*z^2 - z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 5*z^4 + 3*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 14195] -> 5*a^4 - 7*a^6 + 4*a^8 - a^10 + z^2 - 
   3*a^2*z^2 + 12*a^4*z^2 - 14*a^6*z^2 + 6*a^8*z^2 + z^4 - 5*a^2*z^4 + 
   9*a^4*z^4 - 11*a^6*z^4 + 2*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 14196] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 
   4/a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 14197] -> -1 + 2/a^2 - 2*a^4 + 2*a^6 - 6*z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 14198] -> 
  2*a^4 - a^8 + 2*z^2 - a^2*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 14199] -> 
  2 + a^(-8) - a^(-6) - a^(-2) - z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   z^4 + (3*z^4)/a^4 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14200] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   5*z^2 - z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4, Knot[14, NonAlternating, 14201] -> 
  6*a^8 - 6*a^10 + a^12 + 2*a^4*z^2 + a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 + 
   a^2*z^4 + a^4*z^4 - a^6*z^4 + 7*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[14, NonAlternating, 14202] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + (4*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4, 
 Knot[14, NonAlternating, 14203] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 + 
   3*a^2*z^2 - 7*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14204] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^4 + a^2*z^2 - a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 14205] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 13*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   a^2*z^6 - a^4*z^6 - z^8, Knot[14, NonAlternating, 14206] -> 
  a^4 + 2*a^6 - 2*a^8 + 11*a^6*z^2 - 9*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 
   2*a^4*z^4 + 12*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 
   3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 14207] -> 
  1 + 2*z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14208] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 
   7*a^6*z^2 + 6*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 
   4*a^10*z^4 + a^12*z^4 + a^6*z^6, Knot[14, NonAlternating, 14209] -> 
  a^2 + a^6 - a^8 + z^2 - z^2/a^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 + 2*a^2*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 14210] -> 1 - z^4 - z^4/a^8 + (2*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 14211] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14212] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14213] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14214] -> 6 + 2/a^6 - 3/a^4 - 2/a^2 - 2*a^2 + 
   5*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 14215] -> -6 + 4/a^2 + a^2 + 3*a^4 - a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 14216] -> 4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 
   z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14217] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 + 3*z^2 - 
   6*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14218] -> 4 - 5*a^2 + a^4 + a^6 + 4*z^2 - z^2/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14219] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - 
   2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^4 + 
   z^4/a^2 - a^2*z^4, Knot[14, NonAlternating, 14220] -> 
  2/a^4 - 2/a^2 + a^4 + z^2 - z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*a^4*z^2 + 
   2*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14221] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 - 
   z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[14, NonAlternating, 14222] -> 
  1 + z^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 14223] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^8 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 14224] -> 
  a^2 + a^6 - a^8 + z^2 - z^2/a^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 + 2*a^2*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 14225] -> 1 - z^4 - z^4/a^8 + (2*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 14226] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 
   10*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 9*a^4*z^4 - 10*a^6*z^4 + 6*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 14227] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (2*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 14228] -> 2*a^2 - a^4 + a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 14229] -> 
  2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + (7*z^2)/a^10 - (12*z^2)/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 + (7*z^4)/a^10 - (17*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 14230] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + (4*z^2)/a^10 - (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^2 + (2*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 14231] -> 2/a^12 - 5/a^10 + 4/a^8 - 3/a^6 + 3/a^4 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 + (9*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   z^4/a^12 - (5*z^4)/a^10 + (6*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 - 
   z^6/a^10 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 14232] -> 6 - 3/a^2 - 3*a^2 + 3*a^4 - 2*a^6 + 
   14*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 12*z^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 14233] -> 
  2/a^16 - 5/a^14 + 2/a^12 - a^(-10) + 3/a^8 + z^2/a^16 - (10*z^2)/a^14 + 
   (4*z^2)/a^12 + (6*z^2)/a^10 + (10*z^2)/a^8 - (6*z^4)/a^14 + (7*z^4)/a^12 + 
   (17*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14234] -> a^(-12) - 2/a^10 + a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + z^2/a^12 - (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 14235] -> 
  3 - a^(-4) - a^2 + a^4 - a^6 + 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 14236] -> a^(-16) - 2/a^14 - a^(-12) + 
   a^(-10) + a^(-8) + a^(-6) - (4*z^2)/a^14 - z^2/a^12 + (6*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (9*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 14237] -> 4 - 3/a^6 + 5/a^4 - 3/a^2 - 
   2*a^2 + 11*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 
   13*z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 + 
   z^6/a^4 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 14238] -> 
  2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 14239] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   3*z^2 + (2*z^2)/a^2 + a^6*z^2 - 2*z^4 + z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 14240] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 14241] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 14242] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (12*z^2)/a^10 + (11*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (11*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 14243] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14244] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 6*a^2*z^2 + 15*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 
   5*a^2*z^4 + 16*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 14245] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   5*z^2 + (7*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 14246] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + 
   (7*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 14247] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 14248] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14249] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 14250] -> -2 + 2/a^2 + a^4 - 5*z^2 + z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 14251] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 - 4*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 - a^2*z^4 + 6*a^4*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 14252] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14253] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (13*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - z^4/a^8 - (11*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14254] -> 
  -3/a^6 + 5/a^4 - a^(-2) - z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 - 
   z^4/a^6 + (6*z^4)/a^4 + z^6/a^4, Knot[14, NonAlternating, 14255] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + (3*z^2)/a^2 + a^4*z^2 - 4*z^4 + 
   z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 14256] -> a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - 
   (6*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^8 - (5*z^4)/a^6 - z^6/a^6, 
 Knot[14, NonAlternating, 14257] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 14258] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 + 6*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 14259] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 
   11*z^2 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 10*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 14260] -> -2 + a^(-4) + 2*a^2 - 6*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 14261] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 14262] -> -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 14263] -> 3*a^4 - 2*a^6 - z^2/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + z^4 + 2*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 14264] -> -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + 
   a^4 - 6*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + a^4*z^2 - 3*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4, Knot[14, NonAlternating, 14265] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + z^2 + z^2/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 14266] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 14267] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (27*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + (36*z^4)/a^6 - 
   (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 14268] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 7*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 - 
   a^10*z^2 - 11*a^4*z^4 + 35*a^6*z^4 - 11*a^8*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 
   6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 14269] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (13*z^2)/a^12 + (32*z^2)/a^10 - (5*z^4)/a^14 - 
   (10*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 14270] -> 
  -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 2*z^2 - (2*z^2)/a^8 - z^2/a^6 + 
   (11*z^2)/a^4 - z^4 - z^4/a^8 + z^4/a^6 + (10*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 14271] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (24*z^2)/a^2 - 12*z^4 + z^4/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 14272] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 14273] -> 3*a^6 - a^8 - a^10 - 2*a^2*z^2 + 
   3*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 14274] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (3*z^2)/a^14 - (7*z^2)/a^12 + (14*z^2)/a^10 + (9*z^2)/a^8 - 
   z^4/a^14 - (3*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 14275] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 14276] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (9*z^2)/a^10 - (17*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (9*z^4)/a^10 - (20*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14277] -> -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 + 
   9*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 7*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 14278] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (12*z^2)/a^8 + (19*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - (9*z^4)/a^8 + (22*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (11*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 14279] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 - a^2*z^2 - 
   z^4/a^6 + (8*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 14280] -> 4*a^4 - 4*a^6 - a^8 + 4*a^10 - 2*a^12 + 
   6*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   3*a^6*z^4 - 3*a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 14281] -> 9 - 4/a^2 - 4*a^2 + 16*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 14282] -> 
  -3 + 2/a^2 - a^2 + 6*a^4 - 3*a^6 - 5*z^2 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 14283] -> 2*a^2 - a^4 - a^6 + a^8 + 
   a^10 - a^12 + 2*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4, Knot[14, NonAlternating, 14284] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14285] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - 
   a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^2 - 
   a^2*z^4, Knot[14, NonAlternating, 14286] -> 1 + 2/a^4 - 3/a^2 + a^2 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^6 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 14287] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 14288] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 14289] -> 
  4*a^4 - 4*a^6 + 2*a^10 - a^12 + 7*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 
   3*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 6*a^6*z^4 + 2*a^10*z^4 - 2*a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 14290] -> 7 - 3/a^2 - 3*a^2 + 15*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 14291] -> 
  -3 + 2/a^2 + 4*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^2 + 6*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 14292] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14293] -> 2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + 
   3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 14294] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 14295] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   a^6*z^2 + z^4 - (2*z^4)/a^2 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 14296] -> 4*a^8 - 4*a^10 + 3*a^12 - 2*a^14 + 
   18*a^8*z^2 - 8*a^10*z^2 + 6*a^12*z^2 - 3*a^14*z^2 + 20*a^8*z^4 - 
   3*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 14297] -> -2/a^6 + 3/a^4 - (2*z^2)/a^8 - z^2/a^6 + 
   (10*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (10*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 14298] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + 
   7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 
   12*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - a^4*z^8 - a^6*z^8, Knot[14, NonAlternating, 14299] -> 
  4*a^8 - 3*a^10 + a^12 - a^14 + 5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + 
   a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^12*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 14300] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 + z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 14301] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 2*z^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 14302] -> 
  2*a^6 - a^8 + 2*a^12 - 2*a^14 + 7*a^6*z^2 + 3*a^8*z^2 + 3*a^12*z^2 - 
   a^14*z^2 + 5*a^6*z^4 + 4*a^8*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 14303] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14304] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 - a^6*z^4 + a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14305] -> 2*a^6 - a^8 + a^10 - a^14 + 2*a^4*z^2 + 
   5*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + a^12*z^2 + a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4, Knot[14, NonAlternating, 14306] -> -a^(-4) + 2/a^2 - z^2/a^8 + 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[14, NonAlternating, 14307] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 - z^4 - 3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, 
 Knot[14, NonAlternating, 14308] -> 1 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 14309] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   11*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   a^2*z^6 - a^4*z^6 - z^8, Knot[14, NonAlternating, 14310] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   12*a^2*z^2 + 5*a^4*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 11*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14311] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   3*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 - 
   5*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 14312] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 14313] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 5*z^2 + z^2/a^4 + 2*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 14314] -> 2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^2 - 
   2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 14315] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 + 
   10*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 9*a^4*z^4 - 10*a^6*z^4 + 6*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 14316] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - (3*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 5*z^4 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 14317] -> 
  4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 
   z^4 - 5*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 14318] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^4, Knot[14, NonAlternating, 14319] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 5*z^2 + z^2/a^4 + 2*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 14320] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 - a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14321] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 12*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14322] -> 4 + a^(-6) - 2/a^4 - 3*a^2 + a^4 + 
   4*z^2 + z^2/a^6 - (3*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 - z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 14323] -> 
  2*a^2 - a^4 + a^6 - 3*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - 
   2*a^8*z^4 - a^4*z^6, Knot[14, NonAlternating, 14324] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^6 + (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14325] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + a^8*z^2 - 5*z^4 + 
   z^4/a^2 - 3*a^4*z^4 - a^6*z^4 - z^6, Knot[14, NonAlternating, 14326] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 - (2*z^4)/a^2 - a^2*z^4 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 14327] -> 
  2/a^12 - 6/a^10 + 6/a^8 - 4/a^6 + 3/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (13*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (8*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 14328] -> 
  7 - 3/a^2 - 5*a^2 + 4*a^4 - 2*a^6 + 14*z^2 - (5*z^2)/a^2 - 10*a^2*z^2 + 
   9*a^4*z^2 - 3*a^6*z^2 + 11*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14329] -> 2/a^16 - 4/a^14 + 3/a^8 + (2*z^2)/a^16 - 
   (10*z^2)/a^14 + (8*z^2)/a^10 + (10*z^2)/a^8 - (7*z^4)/a^14 + 
   (5*z^4)/a^12 + (17*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14330] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 14331] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 14332] -> 4 + a^(-6) - 2/a^4 - 3*a^2 + a^4 + 
   4*z^2 + z^2/a^6 - (3*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 - z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 14333] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 14334] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + z^2 + 
   2*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14335] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (2*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 14336] -> 2*a^2 - a^4 + a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 14337] -> 
  2*a^2 - a^4 - z^2/a^4 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 14338] -> -1 + a^(-2) + a^2 - z^2 + 
   z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 14339] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 4*z^2 + 12*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^6*z^6 + a^2*z^8, Knot[14, NonAlternating, 14340] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 + 3*a^2*z^2 - 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 14341] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^4 + a^2*z^2 - a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 14342] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 13*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   a^2*z^6 - a^4*z^6 - z^8, Knot[14, NonAlternating, 14343] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - 3*a^2*z^2 + 6*a^4*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 14344] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 - a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^10*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14345] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   a^4*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 14346] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 14347] -> 
  3*a^2 - 3*a^4 + a^6 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14348] -> 2*a^2 - 2*a^6 + a^8 + z^2 - 4*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - z^4/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14349] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 14350] -> -3/a^6 + 5/a^4 - a^(-2) - 
   z^2/a^8 + (6*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 + (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 14351] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14352] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[14, NonAlternating, 14353] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 5*a^4*z^2 + 23*a^6*z^2 - 14*a^8*z^2 + 
   2*a^10*z^2 - 10*a^4*z^4 + 32*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 
   23*a^6*z^6 - 7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 14354] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 
   7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 7*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 14355] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 - z^2/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 - 
   z^4/a^6 + z^4/a^4 + (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14356] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (5*z^2)/a^14 - (17*z^2)/a^12 + (33*z^2)/a^10 - (5*z^4)/a^14 - 
   (11*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 14357] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (2*z^2)/a^10 - (18*z^2)/a^8 + 
   (30*z^2)/a^6 - (8*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + (37*z^4)/a^6 - 
   (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 14358] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + z^2/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 + z^4/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 14359] -> 
  -3/a^6 + 5/a^4 - a^(-2) - z^2/a^6 + (5*z^2)/a^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 + (4*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14360] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 5*z^2 + 
   18*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 2*z^4 + 13*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14361] -> -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - (12*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 14362] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 6*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 14363] -> 1 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 14364] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 13*z^2 - 
   (7*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 16*z^4 - (5*z^4)/a^2 - a^4*z^4 + 
   7*z^6 - z^6/a^2 + z^8, Knot[14, NonAlternating, 14365] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (6*z^2)/a^8 - (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 + (5*z^4)/a^8 - (11*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 14366] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14367] -> 3 - a^(-2) - 2*a^4 + a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14368] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - z^4 + z^4/a^8 - 
   (5*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - z^6/a^6 + z^6/a^2, 
 Knot[14, NonAlternating, 14369] -> 2 + a^(-4) - 2/a^2 + 6*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14370] -> 4 - a^(-4) - 2*a^2 + 8*z^2 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14371] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + z^4 + z^4/a^8 - z^4/a^6 - (11*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14372] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 + z^2/a^16 - (8*z^2)/a^14 + (10*z^2)/a^10 + (9*z^2)/a^8 - 
   (6*z^4)/a^14 + (6*z^4)/a^12 + (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 14373] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 14374] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 14375] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^4 - z^6/a^10 + (4*z^6)/a^8 - z^6/a^6 + 
   z^8/a^8, Knot[14, NonAlternating, 14376] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14377] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 - 
   6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 11*a^2*z^4 + a^6*z^4 + z^6 - 
   6*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 14378] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + (2*z^2)/a^4 + 3*a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14379] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + (2*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 14380] -> 
  2/a^10 - 7/a^8 + 6/a^6 - (7*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 14381] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 14382] -> 
  1 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14383] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14384] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + z^2/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14385] -> -a^(-10) + a^(-8) + a^(-2) - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 + z^2/a^4 + z^2/a^2 - z^4/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + z^6/a^8, Knot[14, NonAlternating, 14386] -> 
  -a^(-8) + 2/a^4 - z^2/a^8 + (7*z^2)/a^4 - (2*z^2)/a^2 + (5*z^4)/a^4 - 
   z^4/a^2 + z^6/a^4, Knot[14, NonAlternating, 14387] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 5*z^2 + z^2/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 + z^4/a^6 - z^4/a^4 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14388] -> a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 14389] -> 
  2*a^2 - a^4 - z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^6*z^4 - 2*z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14390] -> -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + z^4/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14391] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 14392] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 14393] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 14394] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - (14*z^2)/a^8 + (19*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^4)/a^10 - (15*z^4)/a^8 + (25*z^4)/a^6 - (7*z^4)/a^4 - 
   (7*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 14395] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (16*z^2)/a^2 - 5*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   z^6/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 14396] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14397] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14398] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^4 + a^2*z^2 - 
   a^4*z^2 + 6*z^4 - z^4/a^2 - a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14399] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 14400] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^10 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 14401] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - z^2/a^10 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   z^2/a^4 - (2*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 14402] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 14403] -> -3 - 4/a^4 + 8/a^2 - 5*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14404] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (10*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (7*z^4)/a^8 + (23*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 14405] -> -1 - a^(-6) + 3/a^2 - 8*z^2 - 
   (7*z^2)/a^4 + (18*z^2)/a^2 - 10*z^4 - (10*z^4)/a^4 + (28*z^4)/a^2 - 
   5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 14406] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 - 6*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 14407] -> 
  7 - 3/a^2 - 3*a^2 + 13*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   11*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 14408] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 14409] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14410] -> 
  a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 14411] -> 2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 
   7*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - a^8*z^6 - a^4*z^8, Knot[14, NonAlternating, 14412] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14413] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 + z^4 - 7*a^2*z^4 + 
   6*a^4*z^4 - 11*a^6*z^4 + 2*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 14414] -> 
  1 - 2*z^2 + z^2/a^4 + a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 14415] -> 
  2 + a^(-4) - 2/a^2 - z^2/a^8 + (3*z^2)/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14416] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 
   4*a^4*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14417] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^4 + 
   a^4*z^2 - 2*z^4 - z^4/a^2 - a^2*z^4, Knot[14, NonAlternating, 14418] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2/a^2 - a^2*z^2 - 3*a^6*z^2 + 2*a^8*z^2 - 2*z^4 - 
   a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14419] -> 4 - a^(-4) - 2*a^2 + 5*z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^4 + a^2*z^4 - 2*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14420] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^4, Knot[14, NonAlternating, 14421] -> 2 - a^(-2) + a^4 - a^6 + 
   4*z^2 - z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 14422] -> 
  -a^(-4) + 2/a^2 - z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - z^4/a^6 - 
   z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 14423] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14424] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 + z^2/a^8 + 
   (7*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 - z^6/a^4, 
 Knot[14, NonAlternating, 14425] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - z^4/a^10 + z^4/a^8 + (8*z^4)/a^6 - 
   z^4/a^4 + z^6/a^8 + (2*z^6)/a^6, Knot[14, NonAlternating, 14426] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 - (4*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 14427] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (8*z^2)/a^6 - (15*z^2)/a^4 + 
   (8*z^2)/a^2 + (5*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 14428] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (17*z^2)/a^8 + (15*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - (27*z^4)/a^8 + 
   (16*z^4)/a^6 + (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 14429] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14430] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (4*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 14431] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   (3*z^2)/a^16 - (17*z^2)/a^14 + (4*z^2)/a^12 + (25*z^2)/a^10 + z^4/a^16 - 
   (20*z^4)/a^14 + (20*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + 
   (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 14432] -> 
  -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 - (4*z^2)/a^8 - (2*z^2)/a^6 + 
   (22*z^2)/a^4 - (10*z^2)/a^2 - (4*z^4)/a^8 + (3*z^4)/a^6 + (25*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (12*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4, Knot[14, NonAlternating, 14433] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + (6*z^2)/a^4 - (14*z^2)/a^2 - a^2*z^2 + 
   6*z^4 + (5*z^4)/a^4 - (16*z^4)/a^2 + z^6 + z^6/a^4 - (7*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 14434] -> a^(-16) - 3/a^14 - a^(-12) + 
   3/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 - z^2/a^12 + (15*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^4)/a^14 + (5*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 14435] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 3*z^2 - (2*z^2)/a^8 - z^2/a^6 + 
   (10*z^2)/a^4 + z^2/a^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (9*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14436] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 14437] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - z^2/a^12 + 
   (11*z^2)/a^10 + (9*z^2)/a^8 - (5*z^4)/a^14 + (3*z^4)/a^12 + 
   (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14438] -> -a^(-8) + 2/a^4 - 2*z^2 - (2*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14439] -> a^(-4) - a^(-2) + a^2 - z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14440] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (26*z^2)/a^6 - (6*z^2)/a^4 + (2*z^4)/a^10 - 
   (18*z^4)/a^8 + (34*z^4)/a^6 - (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 14441] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14442] -> a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 14443] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 11*z^2 - 
   (10*z^2)/a^4 + (25*z^2)/a^2 - 13*z^4 - (13*z^4)/a^4 + (37*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 14444] -> 
  -2 + 6*a^2 - 3*a^4 - 7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14445] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 2*z^2 + 
   a^2*z^2 + 8*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14446] -> a^2 + a^6 - a^8 - z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 14447] -> 
  3*a^6 - a^8 - a^10 + a^6*z^2 + 15*a^8*z^2 - 9*a^10*z^2 - 6*a^6*z^4 + 
   32*a^8*z^4 - 12*a^10*z^4 - 5*a^6*z^6 + 24*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 
   8*a^8*z^8 - a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 14448] -> 
  -a^(-4) + 2/a^2 + 6*z^2 + (6*z^2)/a^4 - (11*z^2)/a^2 + 11*z^4 + 
   (11*z^4)/a^4 - (28*z^4)/a^2 + 6*z^6 + (6*z^6)/a^4 - (23*z^6)/a^2 + z^8 + 
   z^8/a^4 - (8*z^8)/a^2 - z^10/a^2, Knot[14, NonAlternating, 14449] -> 
  -3 - 3/a^6 + 2/a^4 + 5/a^2 - 7*z^2 - (13*z^2)/a^6 + (22*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*z^4 - (16*z^4)/a^6 + (40*z^4)/a^4 + z^4/a^2 - z^6 - 
   (7*z^6)/a^6 + (29*z^6)/a^4 - z^8/a^6 + (9*z^8)/a^4 + z^10/a^4, 
 Knot[14, NonAlternating, 14450] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   3*a^4*z^2 - 5*a^6*z^2 + 15*a^8*z^2 - 7*a^10*z^2 + a^4*z^4 - 4*a^6*z^4 + 
   17*a^8*z^4 - 5*a^10*z^4 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 14451] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 2*a^4*z^4 + 5*a^6*z^4 + 
   10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 14452] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 14453] -> 1 - 3/a^6 + 4/a^4 - a^2 - z^2 - 
   (7*z^2)/a^6 + (11*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 - z^4 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 - z^6/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 14454] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 14455] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 10*z^2 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14456] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (27*z^2)/a^6 - (5*z^2)/a^4 + (7*z^4)/a^10 - 
   (30*z^4)/a^8 + (37*z^4)/a^6 - (10*z^4)/a^4 + z^6/a^10 - (14*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, NonAlternating, 14457] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (12*z^2)/a^8 + 
   (28*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 - (7*z^4)/a^8 + (32*z^4)/a^6 - 
   (34*z^4)/a^4 + (11*z^4)/a^2 - z^6/a^8 + (14*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14458] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (23*z^2)/a^8 + (30*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (27*z^4)/a^8 + (40*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^10 - 
   (13*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 14459] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 14460] -> -1 - a^(-6) + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 14461] -> 
  3 + a^(-10) - 2/a^8 + 2/a^6 - 3/a^2 + 2*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 14462] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 14463] -> 
  1 - a^2 + a^4 + a^6 - a^8 - z^2 + 3*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14464] -> 1 - a^2 + 3*a^6 - 2*a^8 - z^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 14465] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 14466] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 - 10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   8*z^4 + z^4/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 14467] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 14468] -> a^4 - a^6 + 2*a^8 + a^10 - 2*a^12 + 
   6*a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   10*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 14469] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 
   2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 14470] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 14471] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - 3*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14472] -> a^4 - a^6 + 3*a^8 - a^10 - a^12 + 
   6*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 - a^12*z^2 + 5*a^4*z^4 - 10*a^6*z^4 + 
   7*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 14473] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 14474] -> 2*a^4 - a^8 + 2*a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 14475] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 
   z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 14476] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   5*a^8*z^2 + a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 14477] -> 
  2*a^4 - a^8 + z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 14478] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 14479] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 14480] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14481] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   5*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 14482] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - z^4 - z^4/a^2 + 16*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 
   7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 14483] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 10*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14484] -> a^2 + 2*a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 14485] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2/a^2 - 4*a^2*z^2 + a^6*z^2 + 2*z^4 - 9*a^2*z^4 + 2*a^4*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 14486] -> 
  -4 + 3/a^2 + a^2 + a^4 - 4*z^2 + z^2/a^4 - 3*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 14487] -> 
  2*a^2 - a^4 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14488] -> a^2 + a^6 - a^8 + 4*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 + 2*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + a^8*z^4 - 
   2*a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 14489] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^8*z^2 - 
   3*z^4 + 3*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14490] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 14491] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (12*z^2)/a^10 - (18*z^2)/a^8 + (6*z^2)/a^6 + 
   (6*z^2)/a^4 + (10*z^4)/a^10 - (23*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 14492] -> -1 + a^(-2) + a^2 - 5*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 14493] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 + 5*z^2 - (4*z^2)/a^2 - 6*a^4*z^2 + a^6*z^2 + 
   11*z^4 - (4*z^4)/a^2 - 2*a^4*z^4 + 6*z^6 - z^6/a^2 + z^8, 
 Knot[14, NonAlternating, 14494] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 14495] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 
   2*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14496] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 
   5*z^2 + z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   5*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14497] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 14498] -> a^2 + a^4 - 2*a^8 + a^10 + 4*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 14499] -> 1 + a^(-2) - a^2 - 2*a^4 + 
   2*a^6 - 4*z^2 + (2*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 14500] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + z^4/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 14501] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14502] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14503] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 14504] -> a^2 + a^4 - a^6 + 4*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 2*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 - 2*a^4*z^6 - 2*a^6*z^6, Knot[14, NonAlternating, 14505] -> 
  2*a^6 - a^12 + a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 
   a^4*z^4 + 9*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 
   3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 14506] -> 
  -a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 14507] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 + (11*z^4)/a^4 - (9*z^4)/a^2 + 
   (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 14508] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 14509] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 + z^2/a^8 + z^2/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 14510] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 14511] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 5*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   5*a^8*z^2 + 2*a^2*z^4 - 6*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 2*a^4*z^6 - 
   2*a^6*z^6, Knot[14, NonAlternating, 14512] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 - a^4*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 13*a^6*z^4 - 10*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 14513] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + (5*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 14514] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 + (11*z^4)/a^4 - (9*z^4)/a^2 + 
   (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 14515] -> 
  -2 + 2/a^2 + a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 14516] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 
   z^2 + 5*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 14517] -> 2*a^8 + a^10 - a^12 - a^14 + 
   14*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 3*a^14*z^2 + 19*a^8*z^4 + 
   3*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^10*z^6 + a^12*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 14518] -> 2 - a^(-2) + a^2 - a^4 + 
   8*z^2 - (5*z^2)/a^2 + a^4*z^2 - 2*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14519] -> 3*a^8 - a^10 - a^14 + 4*a^6*z^2 + 
   9*a^8*z^2 + a^10*z^2 - a^14*z^2 + 5*a^6*z^4 + 7*a^8*z^4 + 2*a^10*z^4 + 
   a^12*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 14520] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^4 - a^2*z^2 - a^6*z^2 + 3*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 14521] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14522] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   11*a^2*z^2 + 5*a^4*z^2 + (2*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 14523] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14524] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 14525] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 - z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 14526] -> -3/a^4 + 5/a^2 - a^2 - (2*z^2)/a^6 - 
   z^2/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 14527] -> 1 - a^(-6) + 2/a^2 - a^2 + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14528] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2 - 
   (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14529] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 + 
   (4*z^2)/a^6 - z^2/a^4 - (8*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 14530] -> -2 + 4*a^2 - a^8 - 4*z^2 + 
   6*a^2*z^2 + 6*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 8*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14531] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 14532] -> a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - 
   a^(-2) + z^2/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - (9*z^4)/a^8 + (21*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 14533] -> 
  a^4 + 2*a^8 - 2*a^10 + 2*a^4*z^2 - a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 + 
   a^4*z^4 - 2*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 14534] -> 
  3*a^4 - 2*a^6 - 5*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 + 
   15*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 14535] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + 
   (6*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (15*z^4)/a^2 + a^2*z^4 + z^6/a^4 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14536] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (15*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 - 
   z^4/a^6 + (16*z^4)/a^4 - (5*z^4)/a^2 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 14537] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (5*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^10 + 
   (13*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 + 
   z^8/a^8, Knot[14, NonAlternating, 14538] -> -3/a^10 + 3/a^8 + a^(-6) + 
   z^2/a^12 - (9*z^2)/a^10 + (14*z^2)/a^8 + (3*z^2)/a^6 + (2*z^4)/a^12 - 
   (8*z^4)/a^10 + (14*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 14539] -> 
  a^(-16) - 4/a^14 + 4/a^10 + (3*z^2)/a^16 - (21*z^2)/a^14 + (13*z^2)/a^12 + 
   (21*z^2)/a^10 + z^4/a^16 - (24*z^4)/a^14 + (32*z^4)/a^12 + (37*z^4)/a^10 - 
   (9*z^6)/a^14 + (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 14540] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (6*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 14541] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + (13*z^2)/a^6 - (26*z^2)/a^4 + 
   (13*z^2)/a^2 + (13*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + (6*z^6)/a^6 - 
   (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14542] -> -1 + 3*a^2 - a^6 - 4*z^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + 12*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 14543] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 
   8*a^2*z^2 + 16*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 - 8*a^2*z^4 + 21*a^4*z^4 + 
   5*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 14544] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) + z^2/a^16 - (10*z^2)/a^14 + 
   (3*z^2)/a^12 + (15*z^2)/a^10 + (6*z^2)/a^8 - (7*z^4)/a^14 + (8*z^4)/a^12 + 
   (24*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14545] -> -a^(-10) + a^(-8) + a^(-2) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^10 + 
   (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 14546] -> -a^(-8) + 2/a^4 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 - z^4 + (4*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 14547] -> a^(-12) - 2/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 14548] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   4*z^2 + (8*z^2)/a^6 - (12*z^2)/a^4 - z^2/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 14549] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 2*a^2*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 14550] -> 
  a^(-4) - a^(-2) + a^2 + (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14551] -> -a^2 + 4*a^4 - a^6 - a^8 - 3*z^2 + 
   a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   9*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14552] -> 4*a^6 - 3*a^8 - 2*a^4*z^2 + 10*a^6*z^2 + 
   2*a^8*z^2 - 4*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - 
   a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 14553] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 
   4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 14554] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 14555] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 14556] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 
   2*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 14557] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 14558] -> 2/a^10 - 5/a^8 + 2/a^6 + 
   2/a^4 + (7*z^2)/a^10 - (15*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (7*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14559] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 14560] -> -5/a^12 + 6/a^10 + (2*z^2)/a^16 - 
   (12*z^2)/a^14 - (2*z^2)/a^12 + (27*z^2)/a^10 + z^4/a^16 - (18*z^4)/a^14 + 
   (16*z^4)/a^12 + (42*z^4)/a^10 - (8*z^6)/a^14 + (20*z^6)/a^12 + 
   (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 14561] -> 
  a^(-14) - 6/a^12 + 6/a^10 - a^(-8) + a^(-6) + z^2/a^14 - (14*z^2)/a^12 + 
   (28*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 - (8*z^4)/a^12 + 
   (34*z^4)/a^10 - (27*z^4)/a^8 + (15*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 14562] -> 
  -4/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (6*z^2)/a^14 - (4*z^2)/a^12 + 
   (16*z^2)/a^10 + (7*z^2)/a^8 - (6*z^4)/a^14 + (4*z^4)/a^12 + 
   (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14563] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 - z^2/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - z^4/a^10 + 
   (2*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 14564] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 9*z^4 + z^4/a^4 + a^4*z^4 - 
   3*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 14565] -> 
  a^(-14) - 6/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (4*z^2)/a^14 - 
   (9*z^2)/a^12 + (18*z^2)/a^10 + (7*z^2)/a^8 - (5*z^4)/a^14 + 
   (23*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14566] -> 3/a^6 - 7/a^4 + 5/a^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - 
   (13*z^4)/a^8 + (33*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + 
   (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 14567] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (27*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (14*z^4)/a^6 - 
   (37*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (13*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14568] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 
   4*z^2 + z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 14569] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   14*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14570] -> -2*a^4 + 8*a^6 - 5*a^8 - 2*a^2*z^2 - 
   3*a^4*z^2 + 24*a^6*z^2 - 11*a^8*z^2 - 3*a^2*z^4 + a^4*z^4 + 24*a^6*z^4 - 
   8*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 14571] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*z^4 + 4*a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 14572] -> 
  a^4 + a^8 - a^12 + 2*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 
   a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14573] -> a^2 + a^6 - a^8 + z^2 + a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14574] -> -2/a^6 + 3/a^4 + 2*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 14575] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 
   2*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 14576] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 
   a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 14577] -> 4*a^2 - 5*a^4 + 2*a^6 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14578] -> a^6 + 2*a^8 - a^10 - a^12 + 2*a^4*z^2 + 
   2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 + 
   8*a^8*z^4 + a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 14579] -> 1 + z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 14580] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 - z^2/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - z^4 - z^4/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 14581] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 14582] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 14583] -> 
  2*a^4 - a^6 + a^10 - a^12 + 5*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 14584] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 14585] -> a^(-2) - a^2 + a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14586] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 14587] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 5*z^4 + 
   4*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 14588] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 5*z^2 + (2*z^2)/a^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 3*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14589] -> 2 + 2/a^6 - 3/a^4 - z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^2 - z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 14590] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 5*z^2 + 
   a^2*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 14591] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 14592] -> -2 + 2/a^2 + a^4 - 8*z^2 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 14593] -> -2 + a^(-6) - a^(-4) + 2/a^2 - 
   a^2 + 2*a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14594] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (11*z^2)/a^10 - (15*z^2)/a^8 + (2*z^2)/a^6 + 
   (7*z^2)/a^4 + (9*z^4)/a^10 - (20*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 14595] -> a^2 + 2*a^4 - 2*a^6 - a^8 + 
   a^10 + 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 + 
   a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 14596] -> 
  a^2 + a^6 - a^8 - 3*z^2 + 6*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   2*z^4 + 8*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 14597] -> 
  2*a^8 + a^12 - 2*a^14 + 15*a^8*z^2 + 3*a^12*z^2 - 3*a^14*z^2 + 19*a^8*z^4 + 
   2*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^10*z^6 + a^12*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 14598] -> -a^(-6) + a^(-4) + a^(-2) + 
   2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 14599] -> 
  2*a^8 + a^10 - a^12 - a^14 + 5*a^6*z^2 + 7*a^8*z^2 + 3*a^10*z^2 - 
   a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + 2*a^10*z^4 + a^12*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 14600] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - a^4*z^2 + 2*z^4 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 14601] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 14602] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (10*z^2)/a^10 - 
   (20*z^2)/a^8 + (16*z^2)/a^6 + (7*z^4)/a^10 - (26*z^4)/a^8 + (24*z^4)/a^6 - 
   (6*z^4)/a^4 + z^6/a^10 - (13*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 14603] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 14604] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + z^2/a^16 - (8*z^2)/a^14 - (7*z^2)/a^12 + (26*z^2)/a^10 + 
   (2*z^2)/a^8 - (6*z^4)/a^14 + z^4/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 14605] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 14606] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 
   4*z^2 + 9*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 14607] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^4*z^2 + a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 
   a^4*z^4 - 2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 14608] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 14609] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 14610] -> 
  a^4 + 2*a^8 - 2*a^10 + 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 7*a^8*z^2 - 
   3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - 
   a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 14611] -> 
  a^2 + a^6 - a^8 - a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 14612] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - z^2/a^6 - z^2/a^4 + (12*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 14613] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   z^2 - 5*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14614] -> -a^(-8) + 2/a^4 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 14615] -> 4 - 2/a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14616] -> 2*a^4 - a^8 - 3*a^2*z^2 + 8*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 14617] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (3*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^4)/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 14618] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14619] -> -5/a^8 + 8/a^6 - 2/a^4 - (13*z^2)/a^8 + 
   (30*z^2)/a^6 - (9*z^2)/a^4 - (13*z^4)/a^8 + (39*z^4)/a^6 - (12*z^4)/a^4 - 
   (6*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 14620] -> 
  a^(-14) - 7/a^12 + 7/a^10 - z^2/a^14 - (19*z^2)/a^12 + (34*z^2)/a^10 - 
   (3*z^4)/a^14 - (14*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 14621] -> -4/a^8 + 6/a^6 - a^(-4) - (6*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 14622] -> 
  a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - z^2/a^14 - (10*z^2)/a^12 + 
   (15*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + (18*z^4)/a^10 + 
   (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14623] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (5*z^2)/a^12 + (16*z^2)/a^10 - (17*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 - (27*z^4)/a^8 + (16*z^4)/a^6 + 
   (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 14624] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 26*z^2 - z^2/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - 37*z^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 14625] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   (5*z^2)/a^12 + (13*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - (2*z^4)/a^12 + 
   (18*z^4)/a^10 - (22*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 14626] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14627] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14628] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 + 
   (3*z^2)/a^4 + 6*a^2*z^2 - 11*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 14629] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (31*z^4)/a^4 + (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14630] -> 4 - a^(-4) - 2*a^2 + 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 14631] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 14632] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 
   z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 14633] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - 
   (25*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14634] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 14635] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 12*z^4 + z^4/a^4 + 4*a^2*z^4 - 6*z^6 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 14636] -> 
  2 - 3*a^4 + 2*a^6 + 3*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   8*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14637] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 14638] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 14639] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (10*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + 
   (9*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 14640] -> -3/a^12 + 5/a^10 - 4/a^8 + 3/a^6 - 
   (6*z^2)/a^12 + (18*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 - 
   (2*z^4)/a^12 + (20*z^4)/a^10 - (26*z^4)/a^8 + (16*z^4)/a^6 + 
   (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 14641] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - (2*z^2)/a^12 + (7*z^2)/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 14642] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 14643] -> 
  2 + 2/a^6 - 3/a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 14644] -> 
  2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - a^(-2) + z^2 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 14645] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 14646] -> a^4 - a^6 + 3*a^8 - a^10 - a^12 + 
   6*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 - a^12*z^2 + 5*a^4*z^4 - 10*a^6*z^4 + 
   7*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 14647] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 
   4/a^2 - z^2/a^10 + (6*z^2)/a^8 + z^2/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 14648] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - 
   z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14649] -> 2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + a^14 + 
   8*a^6*z^2 - 3*a^8*z^2 + 11*a^10*z^2 - 6*a^12*z^2 + 8*a^6*z^4 - 4*a^8*z^4 + 
   9*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 14650] -> 2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 14651] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14652] -> a^(-2) - a^2 + a^4 - 6*z^2 + 
   (3*z^2)/a^2 + a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 14653] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - a^4*z^2 + 17*a^6*z^2 - 20*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 25*a^6*z^4 - 25*a^8*z^4 + 7*a^10*z^4 - 
   5*a^4*z^6 + 18*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 14654] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14655] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^6 - z^2/a^4 + a^2*z^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 14656] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14657] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 14658] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - 2*z^4 - 2*a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 14659] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 + a^6 - 2*z^2 - (3*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 14660] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + 
   a^(-2) + (6*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^4 + (3*z^2)/a^2 + 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14661] -> 
  2*a^2 - a^6 - a^8 + a^10 + z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14662] -> 2 + 2/a^6 - 3/a^4 - z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^2 - z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 14663] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 5*z^2 + 
   a^2*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 14664] -> 
  2*a^8 + a^10 - a^12 - a^14 + 13*a^8*z^2 + 5*a^10*z^2 - 2*a^12*z^2 - 
   2*a^14*z^2 + 18*a^8*z^4 + 6*a^10*z^4 + a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 
   2*a^10*z^6 + a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 14665] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14666] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 
   11*z^2 + (6*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 14667] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   20*z^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 14668] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + 8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   7*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14669] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^12 - 
   (3*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 14670] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (18*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 - (4*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 14671] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^4 + 
   z^2/a^2 + (4*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + (4*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14672] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - z^4/a^6 - z^4/a^4 + 
   (11*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 - z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 14673] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 14674] -> -3/a^8 + 4/a^6 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - 
   (26*z^4)/a^8 + (16*z^4)/a^6 + (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 14675] -> -3 + 2/a^2 + 2*a^2 - 20*z^2 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 33*z^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + 
   (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 14676] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14677] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 14678] -> 2*a^4 - 2*a^8 + 2*a^10 - 
   a^12 + 6*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   3*a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 14679] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + z^4 - 4*a^2*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + a^6*z^6, Knot[14, NonAlternating, 14680] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 - z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 11*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 14681] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 14682] -> a^2 + 3*a^4 - 4*a^6 + a^10 + 2*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 14683] -> 3*a^2 - 2*a^4 - a^8 + a^10 + 
   3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 14684] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 14685] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^6 - z^2/a^4 + a^2*z^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 14686] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14687] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 14688] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 14689] -> 
  3*a^8 - a^10 - a^14 + 3*a^6*z^2 + 12*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + 4*a^6*z^4 + 10*a^8*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 14690] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + (3*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 14691] -> 
  2*a^4 - a^6 + a^10 - a^12 + 8*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 
   3*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 13*a^6*z^4 + 3*a^8*z^4 + 2*a^10*z^4 + 
   a^4*z^6 - 7*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 14692] -> 
  4 - 2/a^2 - a^4 + 5*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 - a^6*z^2 + 2*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 14693] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   6*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14694] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - 
   8*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - 11*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 + z^6 - 6*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 14695] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 14696] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 14697] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 + z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 14698] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 14699] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 14700] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 14701] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14702] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 14703] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (18*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 + (11*z^4)/a^10 - (22*z^4)/a^8 - 
   z^4/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 14704] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 14705] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14706] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 14707] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14708] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 
   4*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   6*a^6*z^4 + 4*a^8*z^4 + a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 14709] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 14710] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 14711] -> 
  2*a^4 - a^8 + z^2 - a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14712] -> 2*a^6 - a^12 + 2*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 
   a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 14713] -> 
  a^2 + a^4 - a^6 + z^2 + a^4*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 14714] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 14715] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 14716] -> 2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + 
   9*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 
   14*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 14717] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   3*a^4*z^4 - 5*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14718] -> 3*a^2 - 3*a^4 + a^6 + z^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + a^8*z^2 - a^2*z^4 - 3*a^4*z^4 - a^6*z^4, 
 Knot[14, NonAlternating, 14719] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^6 + (3*z^4)/a^4 + 
   z^4/a^2, Knot[14, NonAlternating, 14720] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 + (6*z^2)/a^10 - (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (6*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14721] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 - z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 14722] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + (4*z^2)/a^12 - (16*z^2)/a^10 + 
   (12*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^12 - (12*z^4)/a^10 + (11*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 14723] -> 9 - 5/a^2 - a^2 - 2*a^4 + 22*z^2 - 
   (11*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 23*z^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + 11*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14724] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (4*z^2)/a^16 - (9*z^2)/a^14 - (20*z^2)/a^12 + (35*z^2)/a^10 + 
   (2*z^4)/a^16 - (17*z^4)/a^14 - z^4/a^12 + (47*z^4)/a^10 - (8*z^6)/a^14 + 
   (13*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 14725] -> 
  2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 14726] -> 5 - 3/a^2 - a^6 + 9*z^2 - (5*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14727] -> 2/a^16 - 5/a^14 + 4/a^12 - 5/a^10 + 
   5/a^8 + (2*z^2)/a^16 - (11*z^2)/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 + 
   (15*z^2)/a^8 - (7*z^4)/a^14 + (10*z^4)/a^12 + (4*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 14728] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14729] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^8 - 
   (11*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^8 - (6*z^6)/a^6 - z^8/a^6, 
 Knot[14, NonAlternating, 14730] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 14731] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14732] -> 5 - 3/a^2 + a^2 - 2*a^4 + 12*z^2 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 13*z^4 - (4*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 + 6*z^6 - z^6/a^2 + z^8, Knot[14, NonAlternating, 14733] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (11*z^2)/a^6 - z^4/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 14734] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^4 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 14735] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 14736] -> 3*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 13*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 14737] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^10 - 
   z^2/a^8 + (8*z^2)/a^6 - (3*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 - 
   z^6/a^10 + (5*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 14738] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 6*a^2*z^2 + 16*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 - 3*a^2*z^4 + 12*a^4*z^4 + a^6*z^4 - a^8*z^4 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 14739] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + 
   (7*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (7*z^4)/a^4 - 
   (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 14740] -> 
  2*a^2 - a^4 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 9*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 14741] -> 
  1 + 2*z^2 + z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + z^4/a^2 - 
   8*a^2*z^4 + a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14742] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 + 
   z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 5*z^4 + z^4/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14743] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - 
   z^2/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + z^4 + (2*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 14744] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^10 + 
   (4*z^4)/a^8 + z^4/a^4 + z^6/a^8, Knot[14, NonAlternating, 14745] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^8 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 14746] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14747] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   9*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14748] -> -4 + 3/a^2 + a^2 + a^4 - 10*z^2 + 
   (3*z^2)/a^4 + a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 14749] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14750] -> 1 + 2*z^2 + z^2/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + z^4/a^2 - 8*a^2*z^4 + a^6*z^4 - z^6 - 3*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 14751] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (2*z^2)/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 14752] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 14753] -> 
  3 + 2/a^4 - 4/a^2 + 6*z^2 - (6*z^2)/a^2 - a^2*z^2 - a^6*z^2 + 5*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 14754] -> 
  4 - 5*a^2 + a^4 + a^6 + 3*z^2 - 9*a^2*z^2 + 2*a^4*z^2 - 4*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 14755] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 + a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 
   a^4*z^4 - 3*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 14756] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 + (5*z^2)/a^10 - (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (9*z^2)/a^4 + (2*z^4)/a^10 - (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 14757] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 14758] -> 
  3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 - (9*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 14759] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 + 3*z^2 - (3*z^2)/a^4 + 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14760] -> 1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 + 
   (2*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 14761] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (7*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^4 - (8*z^4)/a^2 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 14762] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 14763] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14764] -> 2*a^2 - a^4 - 3*z^2 + 6*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - 2*z^4 + 6*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 14765] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14766] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 + 2*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14767] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - (3*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 
   2*a^2*z^6, Knot[14, NonAlternating, 14768] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 11*z^2 - (4*z^2)/a^2 - 7*a^2*z^2 + 7*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 14769] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 
   6*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 6*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 14770] -> -4 + 3/a^2 + 3*a^4 - a^6 - 
   6*z^2 - z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14771] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14772] -> a^(-16) - 3/a^14 + 2/a^10 + a^(-6) - 
   (4*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - 
   z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 14773] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 + z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2, Knot[14, NonAlternating, 14774] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^8 - (5*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2, Knot[14, NonAlternating, 14775] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + z^2/a^10 - (10*z^2)/a^8 + 
   (13*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - (8*z^4)/a^8 + (17*z^4)/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 14776] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (3*z^2)/a^14 - (7*z^2)/a^12 + 
   (13*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - (5*z^4)/a^12 + (22*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 14777] -> a^4 + a^6 - a^10 - 2*a^2*z^2 + 
   3*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 14*a^6*z^4 - 
   6*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 14778] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (21*z^2)/a^10 - (22*z^2)/a^8 + (15*z^2)/a^6 - (7*z^4)/a^12 + 
   (29*z^4)/a^10 - (32*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 14779] -> 
  -4 + 3/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 14780] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 14781] -> 
  2 + 2/a^6 - 3/a^4 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^4 + z^6/a^2, Knot[14, NonAlternating, 14782] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 14783] -> 
  4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + z^4 - 2*a^2*z^4 + 
   4*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 14784] -> 
  2*a^6 - a^12 + 2*a^2*z^2 + 5*a^6*z^2 + 2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 - a^4*z^6, Knot[14, NonAlternating, 14785] -> 
  3 - 3*a^2 + a^6 + 3*z^2 - z^2/a^4 - 4*a^2*z^2 - a^4*z^2 + z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 14786] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 
   a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14787] -> 2 + a^(-4) - 2/a^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 14788] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 
   2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 14789] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 14790] -> 
  3 + a^(-6) - 3/a^2 + 7*z^2 + z^2/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 14791] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2/a^4 + 4*a^2*z^2 - 4*a^4*z^2 + (2*z^4)/a^2 + 
   4*a^2*z^4 - z^6, Knot[14, NonAlternating, 14792] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + z^2 - 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 14793] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 + (2*z^4)/a^4 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14794] -> a^(-2) + a^2 - 2*a^4 + a^8 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 14795] -> 
  2 + 2/a^6 - 3/a^4 + z^2 + z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 14796] -> 2*a^2 - a^4 + z^2 + a^2*z^2 - 
   2*a^4*z^2 + a^8*z^2 - a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[14, NonAlternating, 14797] -> a^(-2) + a^2 - 2*a^4 + a^8 - z^2 - 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 14798] -> 1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + z^4, Knot[14, NonAlternating, 14799] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^8 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^6 + (2*z^4)/a^4, Knot[14, NonAlternating, 14800] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - 2*z^2 + 2*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 3*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14801] -> 3*a^8 - 2*a^12 + 5*a^6*z^2 + 8*a^8*z^2 + 
   a^10*z^2 - 2*a^12*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 14802] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) + (7*z^2)/a^10 - (9*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (9*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14803] -> 
  1 + a^(-2) - a^2 - a^4 + a^8 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14804] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 14805] -> 
  -4 + 3/a^2 + a^2 + a^4 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 - z^6/a^4, Knot[14, NonAlternating, 14806] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + 
   3*a^10*z^2 + 4*a^6*z^4 - 3*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 14807] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 14808] -> 2 - 3*a^4 + 2*a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 14809] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 6*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 14810] -> -2 + a^(-2) + 3*a^2 - a^4 - 16*z^2 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14811] -> 6 - 3/a^2 - a^2 - a^4 + 16*z^2 - 
   (8*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 19*z^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14812] -> 8 - 4/a^2 - 2*a^2 - a^4 + 15*z^2 - 
   (7*z^2)/a^2 - 3*a^4*z^2 + 16*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   9*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14813] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 14814] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 14*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 14815] -> -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + 
   12*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + z^4 + 4*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 14816] -> -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 
   9*a^2*z^2 + 20*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 - 8*a^2*z^4 + 22*a^4*z^4 + 
   5*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 14817] -> 
  -3*a^2 + 8*a^4 - 3*a^6 - a^8 - 9*a^2*z^2 + 21*a^4*z^2 - a^6*z^2 - 
   4*a^8*z^2 - 8*a^2*z^4 + 22*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 
   11*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 14818] -> a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - 
   (34*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14819] -> a^(-4) - a^(-2) + a^2 + z^2 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 + z^4 + (5*z^4)/a^4 - 
   (15*z^4)/a^2 + a^2*z^4 + z^6/a^4 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14820] -> -a^(-8) + 2/a^4 - (2*z^2)/a^8 - z^2/a^6 + 
   (12*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 - z^4/a^6 + (15*z^4)/a^4 - 
   (5*z^4)/a^2 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 14821] -> -a^(-10) + a^(-6) + a^(-4) - 
   (5*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^4 - (4*z^4)/a^10 + (13*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 + z^8/a^8, 
 Knot[14, NonAlternating, 14822] -> -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (10*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^12 - (10*z^4)/a^10 + 
   (11*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 14823] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 + (2*z^2)/a^6 - (7*z^2)/a^2 + a^2*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14824] -> 1 - a^(-8) + 3/a^4 - 2/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^4 - z^2/a^2 - z^4 + (4*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 14825] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 14826] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 + (3*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 14827] -> 
  a^(-16) - 5/a^14 + 2/a^12 + 3/a^10 + (3*z^2)/a^16 - (22*z^2)/a^14 + 
   (16*z^2)/a^12 + (20*z^2)/a^10 + z^4/a^16 - (24*z^4)/a^14 + (33*z^4)/a^12 + 
   (37*z^4)/a^10 - (9*z^6)/a^14 + (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 14828] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 14829] -> -a^(-4) + 2/a^2 - 5*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14830] -> -a^2 + 4*a^4 - a^6 - a^8 - 8*a^2*z^2 + 
   17*a^4*z^2 - 4*a^8*z^2 - 8*a^2*z^4 + 21*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 
   2*a^2*z^6 + 11*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 14831] -> a^(-16) - 4/a^14 + 4/a^10 + z^2/a^16 - 
   (10*z^2)/a^14 + (2*z^2)/a^12 + (18*z^2)/a^10 + (5*z^2)/a^8 - 
   (7*z^4)/a^14 + (8*z^4)/a^12 + (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 14832] -> 2/a^8 - 3/a^6 - a^(-4) + 
   3/a^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 14833] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 14834] -> 
  2*a^4 - a^8 - 3*z^2 + 2*a^2*z^2 + 7*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + 
   4*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 14835] -> 
  -a^4 + 6*a^6 - 4*a^8 - 4*a^4*z^2 + 15*a^6*z^2 - 4*a^10*z^2 - 4*a^4*z^4 + 
   14*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 14836] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 
   9*z^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 5*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 14837] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 14838] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 14839] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 14840] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 14841] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 3*z^2 + 
   (10*z^2)/a^6 - (20*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^6 - (11*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 14842] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 - z^8, Knot[14, NonAlternating, 14843] -> 
  -a^(-14) - 3/a^12 + 5/a^10 + (2*z^2)/a^16 - (14*z^2)/a^14 + (3*z^2)/a^12 + 
   (25*z^2)/a^10 + z^4/a^16 - (19*z^4)/a^14 + (20*z^4)/a^12 + (41*z^4)/a^10 - 
   (8*z^6)/a^14 + (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 14844] -> 
  -5/a^12 + 6/a^10 + z^2/a^16 - (6*z^2)/a^14 - (6*z^2)/a^12 + (21*z^2)/a^10 + 
   (5*z^2)/a^8 - (6*z^4)/a^14 + (3*z^4)/a^12 + (26*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 14845] -> 
  a^(-14) - 5/a^12 + 5/a^10 - 2/a^8 + 2/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (25*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 - (7*z^4)/a^12 + 
   (31*z^4)/a^10 - (30*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^12 + (14*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - 
   z^10/a^8, Knot[14, NonAlternating, 14846] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 12*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14847] -> -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14848] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 
   a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 14849] -> 4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 14850] -> a^6 + 3*a^8 - 3*a^10 + 2*a^4*z^2 + 
   13*a^8*z^2 - 6*a^10*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 12*a^8*z^4 - 
   2*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 14851] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 13*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14852] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14853] -> 2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + 
   7*a^4*z^2 - 7*a^6*z^2 + 6*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   11*a^6*z^4 + 5*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 14854] -> -3/a^8 + 5/a^6 - 2/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 14855] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 14856] -> 
  2*a^4 - 2*a^6 + 2*a^8 - a^12 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 
   4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 14857] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 14858] -> 2*a^8 - a^10 + 3*a^12 - 3*a^14 + 
   16*a^8*z^2 - 3*a^10*z^2 + 7*a^12*z^2 - 4*a^14*z^2 + 20*a^8*z^4 - 
   a^10*z^4 + 5*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 14859] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 6*a^2*z^2 - 
   11*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 14860] -> 2*a^8 + a^12 - 2*a^14 + 5*a^6*z^2 + 
   8*a^8*z^2 + a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 14861] -> 2*a^8 + a^10 - a^12 - a^14 + 6*a^6*z^2 + 
   6*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 5*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 14862] -> 2*a^6 + a^8 - 2*a^10 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 14863] -> 3*a^4 - 2*a^6 - 3*z^2 + 5*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 14864] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 14865] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 + z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 14866] -> 2*a^2 - a^4 - z^2 - z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - 
   z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14867] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^4)/a^12 - 
   (5*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 14868] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^2 - 4*z^4 - z^4/a^6 + (12*z^4)/a^2 - z^6 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 14869] -> 
  2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 14870] -> -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 
   11*a^4*z^2 - 2*a^8*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - a^8*z^4 - a^2*z^6 + 
   6*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 14871] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (8*z^2)/a^10 + (9*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^4)/a^12 - (7*z^4)/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 14872] -> 4 - 2/a^2 - a^4 + 11*z^2 - (6*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 15*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   9*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14873] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 14874] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2/a^10 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 14875] -> 2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 14876] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 14877] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 10*z^2 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 10*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 14878] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - z^4/a^2 + 9*a^2*z^4 - 
   a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 14879] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 6*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 14880] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 - 
   z^2/a^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 14881] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 14882] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 14883] -> -a^(-12) + 3/a^10 - 2/a^8 - 
   3/a^6 + 4/a^4 + (6*z^2)/a^10 - (5*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (6*z^4)/a^8 - (9*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 14884] -> 
  a^(-2) - a^6 + a^8 + z^2 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 
   3*z^4 + 3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 14885] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^6 + z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 + z^4/a^4 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 14886] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 14887] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 4*z^2 + 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - z^4/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 14888] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 + 2*z^2 - (2*z^2)/a^4 - z^2/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 14889] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 14890] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - 2*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 14891] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14892] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14893] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 14894] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 14895] -> 
  2 + a^(-4) - 2/a^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 14896] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 14897] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^4 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 14898] -> a^(-12) - a^(-10) - 3/a^8 + 
   3/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 14899] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^12 + (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (7*z^4)/a^10 - (11*z^4)/a^8 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 14900] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14901] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (9*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (9*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 14902] -> a^(-14) - 5/a^12 + 3/a^10 + 
   2/a^8 - (13*z^2)/a^12 + (17*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - 
   (8*z^4)/a^12 + (25*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 14903] -> 
  4*a^6 - 3*a^8 - a^2*z^2 - a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 - 2*a^2*z^4 + 
   17*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 14904] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 14905] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 14906] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 14907] -> -4/a^6 + 7/a^4 - 2/a^2 + 
   z^2/a^10 - z^2/a^8 - (7*z^2)/a^6 + (17*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 - 
   (5*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 14908] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14909] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (6*z^2)/a^10 - (17*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 + (6*z^4)/a^10 - 
   (22*z^4)/a^8 + (28*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + 
   (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, NonAlternating, 14910] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - z^4 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 14911] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 14912] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 14913] -> -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^6 + 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 14914] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 14915] -> 
  -7 + 4/a^2 + 4*a^2 - 14*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - z^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 14916] -> 
  1 + 3*a^2 - 6*a^4 + 3*a^6 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 - 
   3*z^4 + 9*a^2*z^4 - 13*a^4*z^4 + 2*a^6*z^4 - z^6 + 5*a^2*z^6 - 3*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 14917] -> -1 + a^(-2) + 2*a^2 - a^4 - 
   a^6 + a^8 - 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^6*z^2 + z^4 + 3*a^2*z^4 + 
   2*a^4*z^4, Knot[14, NonAlternating, 14918] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^6 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 14919] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 14920] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 + (6*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 14921] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   5*z^2 - 12*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   13*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 + z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14922] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14923] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 - z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (2*z^4)/a^6 - z^4/a^4 + 
   (5*z^4)/a^2 - z^6 - z^6/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 14924] -> 1 + 3*a^2 - 6*a^4 + 3*a^6 - 
   z^2 + 4*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 5*a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 14925] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 14926] -> 
  3 - 2*a^2 - 2*a^4 + 2*a^6 + z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 14927] -> 3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 
   4*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 3*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 
   9*a^8*z^4 - a^10*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 14928] -> 3*a^8 - a^10 - a^14 + 2*a^4*z^2 + 
   4*a^6*z^2 + 6*a^8*z^2 + a^12*z^2 + a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4, 
 Knot[14, NonAlternating, 14929] -> 2*a^4 - a^6 + a^10 - a^12 + 3*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 
   5*a^6*z^4 - a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 14930] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 14931] -> -4 + 2/a^2 + 3*a^2 + a^4 - 
   a^6 - 9*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 3*a^4*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 14932] -> 4 - 2/a^2 - a^4 + 4*z^2 - 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 14933] -> 5 - 4/a^2 + 4*a^2 - 4*a^4 + 20*z^2 - 
   (12*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 25*z^4 - (9*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + 12*z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14934] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   (3*z^2)/a^16 - (11*z^2)/a^14 - (13*z^2)/a^12 + (32*z^2)/a^10 + z^4/a^16 - 
   (15*z^4)/a^14 + (3*z^4)/a^12 + (46*z^4)/a^10 - (7*z^6)/a^14 + 
   (14*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 14935] -> 
  6 - a^(-4) - 2/a^2 - 2*a^4 + 13*z^2 - (4*z^2)/a^4 + z^2/a^2 - 3*a^4*z^2 + 
   11*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 3*z^6 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, NonAlternating, 14936] -> 
  2/a^12 - 5/a^10 + 3/a^8 - a^(-6) + 2/a^4 + (3*z^2)/a^12 - (9*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 14937] -> 5 - 3/a^2 - a^2 + 2*a^4 - 2*a^6 + 
   10*z^2 - (6*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 8*z^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 14938] -> 2/a^16 - 5/a^14 + 3/a^12 - 
   3/a^10 + 4/a^8 + z^2/a^16 - (10*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 + 
   (14*z^2)/a^8 - (6*z^4)/a^14 + (11*z^4)/a^12 + (5*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 14939] -> 
  a^(-12) - 2/a^10 + a^(-6) + a^(-2) + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4/a^10 - z^4/a^8, 
 Knot[14, NonAlternating, 14940] -> 2 - a^(-4) + a^2 - a^6 + 5*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^6*z^2 + 4*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 14941] -> 
  2 - 3/a^6 + 5/a^4 - 2/a^2 - a^2 + 2*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (6*z^4)/a^4 + z^6/a^4, 
 Knot[14, NonAlternating, 14942] -> -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + (16*z^4)/a^6 - 
   (22*z^4)/a^4 + (8*z^4)/a^2 + (7*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14943] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 14944] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 
   13*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 15*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 14945] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 + (6*z^4)/a^10 - (17*z^4)/a^8 + 
   (12*z^4)/a^6 + (2*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 14946] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (10*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + (10*z^4)/a^6 - (29*z^4)/a^4 + 
   (10*z^4)/a^2 + (5*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 14947] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (11*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 14948] -> 4*a^8 - 3*a^10 + a^12 - a^14 + 
   16*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - 2*a^14*z^2 + 19*a^8*z^4 + a^10*z^4 + 
   2*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 14949] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   5*z^2 - (6*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 14950] -> 2*a^6 - a^8 + a^10 - a^14 + 6*a^6*z^2 + 
   4*a^8*z^2 + a^10*z^2 + a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 5*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 14951] -> 1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + z^6 + z^6/a^2, Knot[14, NonAlternating, 14952] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 14953] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + z^2 + z^2/a^10 - (4*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 - (2*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 14954] -> -2/a^6 + 3/a^4 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 14955] -> 3 - a^(-2) - a^2 + 4*z^2 - 
   6*a^2*z^2 + 3*a^4*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 14956] -> -1 + 3*a^2 - a^6 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 14957] -> 
  a^4 + 2*a^8 - 2*a^10 + 5*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 - 2*a^4*z^4 + 
   7*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 14958] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 - 2*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - z^4 + 
   a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 14959] -> 3 - 4*a^2 + 2*a^4 - z^2 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   5*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 14960] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + 4*z^4 + 
   z^4/a^6 - (12*z^4)/a^2 + z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 14961] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - 
   (7*z^2)/a^6 + (13*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 - (5*z^4)/a^6 + 
   (15*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 14962] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 14963] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 14964] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^4 + z^4/a^10 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 14965] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 - 
   (3*z^2)/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 - (6*z^4)/a^14 + (2*z^4)/a^12 + 
   (30*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 14966] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   z^2/a^12 + z^2/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 14967] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 14968] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 + (4*z^4)/a^8 - (3*z^4)/a^4 + 
   z^4/a^2 + z^6/a^8 - z^6/a^4, Knot[14, NonAlternating, 14969] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (3*z^2)/a^10 + (5*z^2)/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 + (5*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 14970] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + (7*z^2)/a^6 - (10*z^2)/a^4 + z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 14971] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 14972] -> 3*a^4 - 2*a^6 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 14973] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 3*z^2 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 14974] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 2*z^6 - 3*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 14975] -> 
  2*a^4 - a^8 - 3*z^2 + 4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 
   2*z^4 + 7*a^2*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 14976] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 3*z^4 - z^4/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 14977] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 14978] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   7*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + z^6/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 14979] -> -3/a^8 + 4/a^6 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (4*z^2)/a^4 - (7*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 14980] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 14981] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (13*z^2)/a^8 + (24*z^2)/a^6 - 
   (6*z^2)/a^4 - (9*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + 
   (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 14982] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (18*z^2)/a^8 + (16*z^2)/a^6 + (8*z^4)/a^10 - 
   (21*z^4)/a^8 + (13*z^4)/a^6 + (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 14983] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + (2*z^2)/a^14 - (21*z^2)/a^12 + 
   (26*z^2)/a^10 + (5*z^2)/a^8 - (15*z^4)/a^12 + (35*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 14984] -> -2*a^2 + 5*a^4 + a^6 - 4*a^8 + 
   a^10 - 5*a^2*z^2 + 11*a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   3*a^2*z^4 + 9*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 3*a^4*z^6 + 3*a^6*z^6, 
 Knot[14, NonAlternating, 14985] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 
   18*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 19*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 14986] -> -3 + 8*a^2 - 4*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14987] -> -4 - 3/a^4 + 7/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 8*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (22*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 14988] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 14989] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 
   6*z^4 + z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 14990] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 14991] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (14*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 14992] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 14993] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 14994] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 11*z^2 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 - z^4/a^6 - 
   (7*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 14995] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 14996] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 
   23*z^2 + (6*z^2)/a^2 + 31*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 28*z^4 + 
   (5*z^4)/a^2 + 40*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 - 13*z^6 + z^6/a^2 + 
   25*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 14997] -> a^(-14) - 6/a^12 + 7/a^10 - 3/a^8 + 
   2/a^6 + z^2/a^14 - (14*z^2)/a^12 + (30*z^2)/a^10 - (19*z^2)/a^8 + 
   (13*z^2)/a^6 - (8*z^4)/a^12 + (35*z^4)/a^10 - (31*z^4)/a^8 + 
   (16*z^4)/a^6 - z^6/a^12 + (15*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   (2*z^8)/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 14998] -> a^(-14) - 5/a^12 + 4/a^10 + a^(-8) - 
   a^(-6) + a^(-4) - (6*z^2)/a^12 + (12*z^2)/a^10 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (2*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 14999] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 15000] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   2*a^2*z^2 - 4*a^4*z^2 + 27*a^6*z^2 - 15*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   27*a^6*z^4 - 10*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 15001] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 2/a^2 + (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 15002] -> 
  4*a^6 - 3*a^8 - z^2 - a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   7*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 15003] -> -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 15004] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (4*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15005] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 15006] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   2*a^2*z^2 + 2*a^4*z^2 + a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 15007] -> 
  3*a^4 - 2*a^6 + 5*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15008] -> 3 + a^(-8) - a^(-6) + a^(-4) - 3/a^2 + 
   3*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 - (2*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 15009] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 15010] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   z^2 - z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 3*z^4 + 
   8*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 15011] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 2*a^4*z^2 + 
   13*a^8*z^2 - 7*a^10*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 12*a^8*z^4 - 
   2*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 15012] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 15013] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 + (2*z^2)/a^4 + z^2/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + 
   z^4/a^4 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15014] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15015] -> 2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + a^14 + 
   9*a^6*z^2 - 4*a^8*z^2 + 10*a^10*z^2 - 5*a^12*z^2 + 8*a^6*z^4 - 5*a^8*z^4 + 
   8*a^10*z^4 - a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 15016] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 2*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 + z^4 + (2*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15017] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 15018] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   12*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 15019] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - 2*a^4*z^2 + 20*a^6*z^2 - 23*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 - 7*a^4*z^4 + 28*a^6*z^4 - 27*a^8*z^4 + 7*a^10*z^4 - 
   5*a^4*z^6 + 19*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 15020] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 - z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + 
   (9*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 15021] -> -4 - 3/a^4 + 7/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15022] -> 3 - 2*a^2 - 3*a^4 + 4*a^6 - a^8 + z^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15023] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   a^2*z^2 - a^6*z^2 + a^8*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 15024] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 
   2/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 15025] -> 5*a^4 - 5*a^6 + a^10 + z^2 - 
   a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - 
   a^4*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15026] -> 
  2*a^6 + a^8 - 2*a^10 + 6*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 + 7*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 15027] -> 
  3 + 2/a^4 - 4/a^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15028] -> 2*a^8 + 2*a^10 - 3*a^12 + 4*a^6*z^2 + 
   8*a^8*z^2 + 4*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 7*a^8*z^4 + 
   3*a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 15029] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4 + 5*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15030] -> -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15031] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - z^4 - z^4/a^8 - z^4/a^6 + (7*z^4)/a^4 + 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 15032] -> 
  -3*a^2 + 8*a^4 - 3*a^6 - a^8 - z^2 - 4*a^2*z^2 + 16*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 11*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 15033] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   z^2 - 3*a^2*z^2 + 13*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - z^4 + 10*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15034] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 + 
   3*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 + 2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 15035] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-2) + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 15036] -> 
  -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 15037] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + (3*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 - z^4/a^6, Knot[14, NonAlternating, 15038] -> 
  1 + a^(-8) + a^(-6) - 5/a^4 + 3/a^2 + 2*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15039] -> -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 15040] -> 
  a^(-14) - 5/a^12 + 5/a^10 - a^(-8) + a^(-4) - (6*z^2)/a^12 + 
   (14*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^4/a^12 + 
   (11*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 15041] -> -3 + a^(-6) + 3*a^2 - 6*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 15042] -> -5 + a^(-4) + a^(-2) + 5*a^2 - 
   a^4 - 8*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 15043] -> -a^4 + 6*a^6 - 4*a^8 - z^2 + 2*a^4*z^2 + 
   11*a^6*z^2 - 5*a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 7*a^6*z^4 - 
   2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 15044] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - a^2*z^4 + 
   4*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 15045] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15046] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 4*a^2*z^4 + 
   2*a^4*z^4, Knot[14, NonAlternating, 15047] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   a^2*z^4 - a^4*z^4 + a^6*z^4 + 3*a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 15048] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15049] -> a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4, Knot[14, NonAlternating, 15050] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - z^2/a^4 + a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 2*z^4 + z^4/a^2 + a^2*z^4 - a^4*z^4, 
 Knot[14, NonAlternating, 15051] -> 2*a^6 + a^8 - 2*a^10 + a^2*z^2 + 
   5*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 + 
   3*a^8*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 15052] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15053] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + 
   (4*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 15054] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 2*a^8*z^2 + z^4 - 5*a^2*z^4 - a^6*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 15055] -> a^2 + a^6 - a^8 - z^2/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + 3*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 15056] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^2 - 8*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + z^4 - 9*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 15057] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 5*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^2 + a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 15058] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15059] -> 2 - a^2 - a^4 + a^6 + z^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - z^4/a^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 15060] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 + z^4/a^6 - z^4/a^4 - a^2*z^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15061] -> a^(-2) - a^2 + a^4 + 5*z^2 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15062] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - z^2 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 + 
   a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 15063] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - z^2 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 + 
   a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 15064] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 
   z^2/a^4 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 15065] -> 
  -1 + a^(-2) + a^2 - z^2 + z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 15066] -> -1 + a^(-2) + a^2 - z^2 + 
   z^4/a^6 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15067] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 15068] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + 7*a^6*z^2 + 6*a^10*z^2 - 2*a^12*z^2 - 
   a^14*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 4*a^10*z^4 + a^12*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 15069] -> 3*a^8 - a^10 - a^14 + 3*a^4*z^2 + 
   3*a^6*z^2 + 5*a^8*z^2 + a^10*z^2 + a^12*z^2 + a^4*z^4 + a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 15070] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (9*z^2)/a^10 - (17*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + 
   (6*z^4)/a^10 - (23*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^10 - 
   (12*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 15071] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (6*z^2)/a^14 - 
   (12*z^2)/a^12 + (28*z^2)/a^10 + (2*z^2)/a^8 - (5*z^4)/a^14 - 
   (3*z^4)/a^12 + (36*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15072] -> a^6 + 3*a^8 - 3*a^10 + 2*a^4*z^2 + 
   13*a^8*z^2 - 6*a^10*z^2 + a^4*z^4 - 2*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 - 
   a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 15073] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + 
   z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15074] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15075] -> 6 - 3/a^2 - a^2 - a^4 + 12*z^2 - 
   (6*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 11*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15076] -> 4 - a^(-4) - 2*a^2 + 7*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 15077] -> a^(-8) - 2/a^6 + 2/a^2 + 
   z^2/a^8 - (5*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 15078] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 31*z^2 - 
   z^2/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - 41*z^4 + (15*z^4)/a^2 + 14*a^2*z^4 - 
   26*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 15079] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 9*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15080] -> 2/a^6 - 5/a^4 + 4/a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (15*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 15081] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 + (4*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 15082] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 15083] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15084] -> 
  3*a^2 - 3*a^4 + a^6 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 15085] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   6*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 15086] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 15087] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + (2*z^2)/a^4 + z^2/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + z^4/a^4 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 15088] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 
   3*z^2 - 7*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 9*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15089] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 15090] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   12*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 15091] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 15092] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (7*z^2)/a^14 - 
   (7*z^2)/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 - (6*z^4)/a^14 + z^4/a^12 + 
   (30*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15093] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + (3*z^2)/a^10 + z^2/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 + 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 15094] -> 2*a^2 - a^4 - z^2/a^2 + 3*a^2*z^2 - 
   a^6*z^2 + 3*z^4 - z^4/a^2 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 15095] -> 
  2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 7*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 5*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 15096] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 15*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 - 6*a^2*z^2 + 13*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15097] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 
   6*z^2 + (3*z^2)/a^2 + 7*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - z^6 + a^4*z^6, Knot[14, NonAlternating, 15098] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 15099] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 15100] -> 2*a^4 - a^6 + a^10 - a^12 + 2*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 3*a^10*z^2 - a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 15101] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 15102] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15103] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 15104] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 6*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 15105] -> 3 + a^(-6) - 2/a^4 - a^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 15106] -> 
  3 - a^(-2) - 2*a^4 + a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 3*z^4 + 
   z^4/a^4 - z^4/a^2 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15107] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + a^4*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15108] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   4*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 15109] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (12*z^2)/a^10 - (19*z^2)/a^8 + (3*z^2)/a^6 + 
   (7*z^2)/a^4 + (9*z^4)/a^10 - (21*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 15110] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15111] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 
   2/a^4 + a^(-2) + (6*z^2)/a^10 - (6*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + (2*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15112] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 15113] -> 4/a^14 - 13/a^12 + 10/a^10 + 
   (4*z^2)/a^14 - (32*z^2)/a^12 + (39*z^2)/a^10 - z^4/a^14 - (23*z^4)/a^12 + 
   (55*z^4)/a^10 - z^6/a^14 - (5*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 15114] -> 
  2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 - z^2/a^12 + (5*z^2)/a^10 - (23*z^2)/a^8 + 
   (36*z^2)/a^6 - (10*z^2)/a^4 + (3*z^4)/a^10 - (20*z^4)/a^8 + (42*z^4)/a^6 - 
   (12*z^4)/a^4 - (8*z^6)/a^8 + (25*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 15115] -> 
  -6 - 7/a^4 + 14/a^2 - 17*z^2 - (17*z^2)/a^4 + (41*z^2)/a^2 - 15*z^4 - 
   (15*z^4)/a^4 + (47*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (27*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 15116] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 15117] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 
   5*z^2 - (7*z^2)/a^6 + (12*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (13*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 15118] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + a^4*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15119] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 15120] -> a^(-2) - a^2 + a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15121] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (10*z^2)/a^14 + (3*z^2)/a^12 + (9*z^2)/a^10 + 
   (9*z^2)/a^8 - (6*z^4)/a^14 + (7*z^4)/a^12 + (18*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 15122] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15123] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 15124] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 15125] -> 
  1 - 2*z^4 + z^4/a^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15126] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 15127] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15128] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (10*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (9*z^4)/a^8 + (27*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 15129] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) - (15*z^2)/a^12 + (20*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^14 - (8*z^4)/a^12 + (26*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15130] -> -3/a^8 + 4/a^6 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - (6*z^4)/a^8 + (15*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 15131] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^2)/a^2 - (8*z^4)/a^8 + (19*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 15132] -> 
  4*a^4 - 3*a^6 - 3*a^8 + 5*a^10 - 2*a^12 + 6*a^4*z^2 - 2*a^6*z^2 - 
   8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 7*a^8*z^4 + 
   3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 15133] -> 
  5*a^2 - 8*a^4 + 4*a^6 + a^8 - a^10 - 3*z^2 + 12*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15134] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (17*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (18*z^4)/a^8 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 15135] -> 
  2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + 2*a^2*z^2 - a^6*z^2 - 2*a^8*z^2 + 
   3*a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 15136] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 15137] -> 
  2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 3*z^2 - 8*a^2*z^2 + 6*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15138] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 8*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 
   3*a^10*z^2 + 3*a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 2*a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 15139] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 
   2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + z^4 - z^4/a^4, 
 Knot[14, NonAlternating, 15140] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 15141] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 + z^4/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 15142] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (9*z^4)/a^10 - (21*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 15143] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + (3*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 15144] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 15145] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (13*z^2)/a^8 + (7*z^2)/a^4 + (9*z^4)/a^10 - (19*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 15146] -> 
  -a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15147] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + 
   z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 15148] -> 
  -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - (4*z^2)/a^8 + (24*z^2)/a^6 - 
   (33*z^2)/a^4 + (14*z^2)/a^2 - z^4/a^8 + (20*z^4)/a^6 - (42*z^4)/a^4 + 
   (14*z^4)/a^2 + (7*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 15149] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 + z^2/a^14 - (11*z^2)/a^12 + 
   (25*z^2)/a^10 - (23*z^2)/a^8 + (15*z^2)/a^6 - (5*z^4)/a^12 + 
   (26*z^4)/a^10 - (30*z^4)/a^8 + (16*z^4)/a^6 + (10*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 15150] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   z^2/a^16 - (7*z^2)/a^14 - (11*z^2)/a^12 + (29*z^2)/a^10 + z^2/a^8 - 
   (6*z^4)/a^14 - z^4/a^12 + (38*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (19*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 15151] -> 1 - a^(-8) - a^(-6) + 5/a^4 - 
   3/a^2 + z^2 - (2*z^2)/a^8 + z^2/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 15152] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (6*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + (5*z^4)/a^10 - 
   (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 15153] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   12*z^2 - (3*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 9*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15154] -> a^(-8) - 4/a^6 + 4/a^4 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 - 
   z^6/a^6, Knot[14, NonAlternating, 15155] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 
   2*a^8 - 4*z^2 + 10*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 15156] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (4*z^2)/a^14 - (4*z^2)/a^12 + 
   (10*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 + z^4/a^12 + (13*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 15157] -> -a^(-10) + a^(-6) + a^(-4) + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 15158] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6, Knot[14, NonAlternating, 15159] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - (4*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 15160] -> 2*a^4 - a^8 + z^2 - z^2/a^2 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15161] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 15162] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 10*z^2 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (23*z^2)/a^2 - 10*z^4 - z^4/a^6 - 
   (6*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 15163] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (13*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - (16*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 15164] -> 
  -a^(-12) + a^(-8) + a^(-4) - (2*z^2)/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 15165] -> 1 - 3/a^8 + 4/a^6 + a^(-4) - 
   2/a^2 + 3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 15166] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 15167] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (10*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (8*z^4)/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 15168] -> 
  -2/a^8 + 2/a^6 + a^(-4) + 2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 15169] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 15170] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 2*z^4 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 15171] -> 
  2*a^6 - 3*a^8 + 9*a^10 - 10*a^12 + 3*a^14 + 11*a^6*z^2 - 17*a^8*z^2 + 
   33*a^10*z^2 - 20*a^12*z^2 + 2*a^14*z^2 + 15*a^6*z^4 - 28*a^8*z^4 + 
   38*a^10*z^4 - 10*a^12*z^4 + 7*a^6*z^6 - 22*a^8*z^6 + 16*a^10*z^6 - 
   a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 15172] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^6 + (3*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15173] -> 
  -6 + 2/a^2 + 7*a^2 - a^4 - a^6 - 12*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 10*z^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   5*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 15174] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 15175] -> 
  -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + 
   (27*z^2)/a^6 - (30*z^2)/a^4 + (11*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (34*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 15176] -> 4*a^8 - 5*a^12 + 2*a^14 + 4*a^6*z^2 + 
   6*a^8*z^2 + 8*a^10*z^2 - 10*a^12*z^2 + a^14*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 
   12*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 + 4*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 15177] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 2*z^2 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 15178] -> 
  -2 + 5*a^2 - a^4 - a^6 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15179] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 15180] -> -5 + 2/a^2 + 5*a^2 - a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 7*z^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 15181] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 - z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 15182] -> 
  5*a^6 - 5*a^8 + a^10 + 3*a^2*z^2 - 6*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 15183] -> 
  7 - 3/a^2 - 4*a^2 + 2*a^4 - a^6 + 14*z^2 - (5*z^2)/a^2 - 9*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 11*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15184] -> 2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^16 - z^2/a^14 - (16*z^2)/a^12 + (21*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^14 - (9*z^4)/a^12 + (26*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15185] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - (7*z^4)/a^8 + 
   (20*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15186] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - (7*z^4)/a^8 + 
   (20*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15187] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - 
   z^2/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 
   19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 15188] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (7*z^4)/a^10 - 
   (11*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 15189] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (11*z^2)/a^10 - 
   (11*z^2)/a^8 + (12*z^2)/a^6 - (2*z^4)/a^12 + (17*z^4)/a^10 - 
   (23*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 15190] -> -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 13*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15191] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 15192] -> 1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 15193] -> 3 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15194] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15195] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 15196] -> 
  2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (6*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 15197] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15198] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 15199] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 15200] -> -2 + a^(-4) + 2*a^2 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15201] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 - 
   3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 15202] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 15203] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 15204] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 3*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15205] -> -3 - 2/a^4 + 5/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 15206] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 3*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15207] -> -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4 + 3*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 15208] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 + 3*a^2*z^2 - a^4*z^2 - z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 15209] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 15210] -> a^(-16) - 2/a^14 - 2/a^12 + 3/a^10 + 
   a^(-6) - (4*z^2)/a^14 - (2*z^2)/a^12 + (10*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (11*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 15211] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + 
   a^(-2) + (5*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15212] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 - (4*z^2)/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + (2*z^4)/a^12 + (11*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 15213] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 
   3/a^2 + (6*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 15214] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 15215] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 - a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + a^8*z^6, 
 Knot[14, NonAlternating, 15216] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - 
   z^2 + (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15217] -> -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 
   3*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15218] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + 
   z^2/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15219] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15220] -> 2*a^4 - a^8 - z^2 + z^2/a^2 - a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 15221] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^6 + 
   z^2/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 15222] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 
   z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 15223] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 15224] -> -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^6 - 
   z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 15225] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 6*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15226] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 15227] -> 1 + z^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15228] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15229] -> a^2 + a^6 - a^8 + z^2 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + 
   a^6*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 15230] -> 
  2*a^4 - a^8 + 2*z^2 - 4*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   8*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15231] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15232] -> 1 + a^2 - 2*a^4 + a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15233] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15234] -> 1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   16*z^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 17*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 15235] -> 
  -a^(-10) + a^(-6) + a^(-4) - (3*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 - 
   (2*z^2)/a^4 - z^4/a^10 - (3*z^4)/a^8 + (21*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 15236] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (3*z^2)/a^12 + (12*z^2)/a^10 - 
   (15*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (15*z^4)/a^10 - (26*z^4)/a^8 + 
   (16*z^4)/a^6 + (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 15237] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 15238] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 15239] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^6/a^8, Knot[14, NonAlternating, 15240] -> 
  a^2 + a^6 - a^8 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   z^4 + 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 15241] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 - (3*z^2)/a^14 - (8*z^2)/a^12 + (13*z^2)/a^10 + (9*z^2)/a^8 - 
   z^4/a^14 - (3*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 15242] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - 
   z^2/a^4 - (2*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15243] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 15244] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + (7*z^4)/a^2 - 
   4*z^6 - (4*z^6)/a^4 + (12*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 15245] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + z^4/a^8 + z^4/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 15246] -> 
  -3/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 15247] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15248] -> -a^(-4) + 2/a^2 - 6*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 8*z^4 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (4*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15249] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - 
   6*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 15250] -> a^(-4) - a^(-2) + a^2 - z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 15251] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   8*z^2 + z^2/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + z^6/a^2 + 4*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15252] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   7*a^4*z^2 - 2*a^6*z^2 - 6*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   5*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 15253] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 3*z^2 - 
   5*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15254] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   9*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 15255] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - z^2 + z^2/a^6 - (5*z^2)/a^2 + 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 15256] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^8 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 15257] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 2*z^2 - 5*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - z^4 - 2*a^2*z^4 + a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15258] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15259] -> 5*a^4 - 6*a^6 + 2*a^8 + z^2 - 2*a^2*z^2 + 
   8*a^4*z^2 - 8*a^6*z^2 + a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - a^8*z^4 - a^2*z^6, Knot[14, NonAlternating, 15260] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + (4*z^2)/a^12 - (16*z^2)/a^10 + 
   (12*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^12 - (12*z^4)/a^10 + (11*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 15261] -> 9 - 5/a^2 - a^2 - 2*a^4 + 22*z^2 - 
   (11*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 23*z^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + 11*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15262] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (4*z^2)/a^16 - (9*z^2)/a^14 - (20*z^2)/a^12 + (35*z^2)/a^10 + 
   (2*z^4)/a^16 - (17*z^4)/a^14 - z^4/a^12 + (47*z^4)/a^10 - (8*z^6)/a^14 + 
   (13*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 15263] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^8 - (5*z^6)/a^6 - 
   z^8/a^6, Knot[14, NonAlternating, 15264] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 + (3*z^2)/a^12 - (13*z^2)/a^10 + (11*z^2)/a^8 + (5*z^2)/a^6 + 
   z^4/a^12 - (7*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 - z^6/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 15265] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15266] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   3*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 15267] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 15268] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 15269] -> 
  3 + 2/a^4 - 4/a^2 + 8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 15270] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^10 - (13*z^2)/a^8 + (18*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (7*z^4)/a^4 - 
   (6*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 15271] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 - 
   (9*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 15272] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15273] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - (7*z^4)/a^8 + (22*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 15274] -> 
  2*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 15275] -> 1 - 7*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15276] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 
   3*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 15277] -> 2*a^2 - a^4 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 15278] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - (2*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 15279] -> 
  7*a^8 - 8*a^10 + 2*a^12 + a^4*z^2 + 17*a^8*z^2 - 10*a^10*z^2 + 3*a^4*z^4 - 
   3*a^6*z^4 + 14*a^8*z^4 - 2*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 15280] -> 
  3*a^4 - 2*a^6 + z^2 - 2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 15281] -> 4*a^2 - 6*a^4 + 3*a^6 + a^8 - a^10 - 
   z^2 + 7*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 
   4*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 15282] -> 2 + 2/a^6 - 3/a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 15283] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 - 7*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15284] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   8*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 
   2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15285] -> 3 + a^(-6) - 2/a^4 - a^2 + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + z^4 - z^4/a^4, 
 Knot[14, NonAlternating, 15286] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 - (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 15287] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 15288] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 + z^2 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 15289] -> 
  4*a^4 - 6*a^6 + 4*a^8 - a^12 + 9*a^4*z^2 - 13*a^6*z^2 + 8*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 + 
   a^4*z^6 - 7*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 15290] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (10*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + (8*z^4)/a^10 - (16*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 15291] -> 
  3*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 - 3*z^2 + 9*a^2*z^2 - 5*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 10*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 - z^6 + 
   6*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 15292] -> 
  -a^(-4) + 2/a^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15293] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 
   2*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 15294] -> -2/a^8 + 2/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 15295] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 21*z^2 + z^2/a^4 + (6*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 15296] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + 
   (10*z^2)/a^2 - (2*z^4)/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 15297] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 4*z^2 - 
   5*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 15298] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 15299] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 
   13*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15300] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   3*z^2 - (2*z^2)/a^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 15301] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + 
   a^2 - z^2 + z^2/a^8 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15302] -> -2 + 2/a^2 + a^4 - 5*z^2 + (2*z^2)/a^2 - 
   a^4*z^2 + a^6*z^2 - 3*z^4 + a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 15303] -> a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 - 
   z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - z^6, Knot[14, NonAlternating, 15304] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + (5*z^2)/a^10 - (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15305] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   2*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 15306] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - z^2 + 
   10*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 2*z^4 + a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15307] -> 2*a^2 - a^4 - z^2 - z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 15308] -> 
  4 - a^(-4) - 2*a^2 + 9*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 8*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 15309] -> 
  -a^(-8) + 2/a^4 - z^2 - z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - z^2/a^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^4 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15310] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) + (3*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 15311] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - 
   (18*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 15312] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   3*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 15313] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - 
   (22*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + (17*z^4)/a^6 - (34*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 15314] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (7*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + 
   (9*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 15315] -> a^(-4) - a^(-2) + a^2 - 9*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + 
   (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 15316] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 15317] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (9*z^2)/a^14 - z^2/a^12 + (16*z^2)/a^10 + 
   (6*z^2)/a^8 - (7*z^4)/a^14 + (7*z^4)/a^12 + (24*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 15318] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 4*z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 15319] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^4 - 
   z^4 - z^4/a^8 + (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15320] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15321] -> a^(-14) - 4/a^12 + 2/a^10 + 2/a^8 - 
   a^(-6) + a^(-4) - (6*z^2)/a^12 + (10*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 - z^4/a^12 + (10*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 15322] -> 
  a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 15323] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 15324] -> 
  3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 2*a^2*z^4 - 10*a^4*z^4 + 
   5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15325] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - a^2*z^4 + 3*a^4*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 15326] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 
   z^2 - z^2/a^6 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 15327] -> 
  3 - 3*a^2 + a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15328] -> 2 - a^2 - a^4 + 2*a^8 - a^10 + 3*z^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 3*a^8*z^2 - 3*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4, 
 Knot[14, NonAlternating, 15329] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4/a^2 + 
   a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 15330] -> 
  3*a^2 - 3*a^4 + a^6 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 15331] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15332] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 5*z^2 - 
   11*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - 13*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 + z^6 - 6*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15333] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15334] -> a^2 + a^4 - 2*a^8 + a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 15335] -> -2 + 2/a^2 - a^2 + 3*a^4 - 
   a^6 - 5*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 15336] -> 2 - 2*a^2 + a^6 + a^8 - a^10 + 3*z^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + z^4 - 4*a^2*z^4 - 
   4*a^4*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15337] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 15338] -> 
  2*a^2 - 2*a^6 + a^8 + a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15339] -> -3 - a^(-6) + 4/a^2 + a^2 - 5*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15340] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 15341] -> -a^2 + 4*a^4 - a^6 - a^8 - 
   2*z^2 + z^2/a^2 + a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   2*a^2*z^4 + a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 15342] -> 
  a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - (3*z^2)/a^14 - (4*z^2)/a^12 + 
   (8*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (12*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 15343] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 
   6*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 15344] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   7*z^2 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 15345] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 15346] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) - (2*z^2)/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 15347] -> a^(-14) - 4/a^12 + a^(-10) + 
   3/a^8 - (10*z^2)/a^12 + (10*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - 
   (5*z^4)/a^12 + (16*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 15348] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^8 + (10*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 15349] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15350] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 15351] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (21*z^2)/a^6 - (29*z^2)/a^4 + (13*z^2)/a^2 - z^4/a^8 + 
   (18*z^4)/a^6 - (39*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 15352] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 15353] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 + (4*z^2)/a^10 - (4*z^2)/a^8 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15354] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   8*a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 15355] -> 1 - a^2 + a^4 + a^8 - a^10 + 3*z^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + z^4 - 8*a^2*z^4 + 
   7*a^4*z^4 - 5*a^6*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15356] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 
   2*a^4 + 3*z^2 - (3*z^2)/a^4 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15357] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15358] -> 6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 11*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15359] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 15360] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 + 11*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + z^4 + 4*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15361] -> 2/a^10 - 7/a^8 + 6/a^6 + (4*z^2)/a^10 - 
   (19*z^2)/a^8 + (24*z^2)/a^6 - (5*z^2)/a^4 + (2*z^4)/a^10 - (19*z^4)/a^8 + 
   (33*z^4)/a^6 - (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 15362] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15363] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - 
   z^2/a^4 + z^2/a^2 - a^2*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 15364] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - a^4*z^4 - 
   4*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 15365] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - z^4 - 2*a^2*z^4 + a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 15366] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15367] -> 2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 
   3*z^2 - 5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 4*a^2*z^4 - 
   3*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 15368] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 15369] -> a^(-4) - a^(-2) + 2*a^4 - 
   a^6 + z^2 - z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15370] -> 3 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + z^4/a^6 - z^4/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15371] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15372] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 + 
   2*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15373] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15374] -> 3 - a^(-2) - a^2 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 15375] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15376] -> 1 - a^(-2) + 2*a^2 - a^6 + 7*z^2 - 
   (4*z^2)/a^2 + 3*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15377] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - a^2*z^2 + 3*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15378] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + 
   (7*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + (5*z^4)/a^6 - 
   (21*z^4)/a^4 + (18*z^4)/a^2 - z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 15379] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 17*z^2 - (10*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   22*z^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 11*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 15380] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 15381] -> 5 - a^(-4) - a^(-2) - a^2 - 
   a^4 + 11*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   10*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, NonAlternating, 15382] -> 
  2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 
   a^4*z^4 - 2*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 - a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 15383] -> 
  -3/a^6 + 3/a^4 + 2/a^2 - a^2 - z^2 - (7*z^2)/a^6 + (11*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - (5*z^4)/a^6 + (14*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 15384] -> 4*a^8 - 2*a^10 - a^12 + 2*a^6*z^2 + 
   13*a^8*z^2 - 2*a^10*z^2 - a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 11*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 15385] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 
   2/a^4 - (3*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 + (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 15386] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 15387] -> 
  a^2 + a^6 - a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   3*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 15388] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 4*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 4*a^8*z^4 + a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 15389] -> -a^(-4) + 2/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 15390] -> 
  1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15391] -> 
  1 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15392] -> -1 - 4/a^4 + 7/a^2 - a^2 - z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^2 - 2*a^2*z^2 + z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 15393] -> 
  2*a^2 - a^4 + a^4*z^2 + a^6*z^2 - a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15394] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 10*z^2 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 15395] -> -a^(-4) + 2/a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15396] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + 
   (8*z^2)/a^6 + z^4/a^12 + (7*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 15397] -> 1 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 15398] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15399] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 15400] -> a^(-2) - a^4 + a^6 - 2*z^2 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 15401] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + 3*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 15402] -> 
  1 + z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 15403] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   6*a^2*z^2 - 18*a^4*z^2 + 25*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 
   27*a^4*z^4 + 28*a^6*z^4 - 7*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 15404] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 + z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15405] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 15406] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - z^4/a^4 + z^4/a^2 + 
   a^2*z^4 - z^6, Knot[14, NonAlternating, 15407] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   6*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 15408] -> 
  -2/a^6 + 3/a^4 + (4*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 + (4*z^4)/a^8 - 
   (12*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 15409] -> 5 - 3/a^2 + a^2 - 2*a^4 + 16*z^2 - 
   (8*z^2)/a^2 - 3*a^4*z^2 + 17*z^4 - (5*z^4)/a^2 - a^4*z^4 + 7*z^6 - 
   z^6/a^2 + z^8, Knot[14, NonAlternating, 15410] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^8 + z^4/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 15411] -> 
  3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 15412] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   3*z^2 + (7*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 + z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15413] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 15414] -> 3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15415] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - (7*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + (3*z^4)/a^12 - 
   (7*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 15416] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + 
   z^2/a^2 - 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 15417] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15418] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 - (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 15419] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 15420] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 
   z^2 + 11*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 + 2*z^4 + a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15421] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 15422] -> 
  -7 + 2/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 16*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + (4*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 15423] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15424] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 15425] -> 
  2/a^10 - 4/a^8 + 3/a^4 - z^2/a^12 + (9*z^2)/a^10 - (14*z^2)/a^8 + 
   (7*z^2)/a^4 + (9*z^4)/a^10 - (19*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 15426] -> a^2 + a^6 - a^8 - 3*z^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 5*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15427] -> 
  a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15428] -> a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 
   2*a^2*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 15429] -> a^(-8) - a^(-6) + a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15430] -> -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - 
   a^(-2) + z^2/a^8 - (4*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 - 
   (4*z^4)/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 15431] -> 
  6 - 3/a^2 - 2*a^2 + a^4 - a^6 + 11*z^2 - (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 15432] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15433] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 15434] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[14, NonAlternating, 15435] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 + z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, NonAlternating, 15436] -> a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 
   3/a^4 + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^10 + z^4/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 15437] -> 4 - a^(-4) - 3*a^2 + 2*a^4 - a^6 + 
   3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   z^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 15438] -> -a^(-10) + 3/a^4 - a^(-2) - z^2/a^10 + 
   z^2/a^8 + z^2/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 15439] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 15440] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 15441] -> 
  -3*a^2 + 8*a^4 - 3*a^6 - a^8 - 7*a^2*z^2 + 19*a^4*z^2 - 3*a^6*z^2 - 
   2*a^8*z^2 - 5*a^2*z^4 + 17*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   7*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 15442] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 15443] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 + 3*z^4 - 5*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15444] -> 1 + 4*z^2 - 6*a^2*z^2 + 2*a^6*z^2 + 
   6*z^4 - 13*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 9*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15445] -> a^(-12) - 6/a^10 + 6/a^8 + z^2/a^12 - 
   (11*z^2)/a^10 + (17*z^2)/a^8 + (2*z^2)/a^6 + (2*z^4)/a^12 - (8*z^4)/a^10 + 
   (15*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 15446] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^4 + 3*a^2*z^2 - 5*z^4 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 15447] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   3*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - a^8*z^2 - a^2*z^4 + 6*a^4*z^4 + 
   a^4*z^6, Knot[14, NonAlternating, 15448] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   7*z^2 + z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15449] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   4*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15450] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + 
   z^2/a^10 + (4*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15451] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + 
   z^2/a^12 - (7*z^2)/a^10 + (9*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 15452] -> -1 + 6*a^4 - 4*a^6 - 2*z^2 + a^2*z^2 + 
   12*a^4*z^2 - 5*a^6*z^2 - z^4 + 2*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 15453] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 5*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 15454] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 5*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15455] -> 2 - 2*a^2 + a^4 + 4*z^2 - 8*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^2 - 8*a^2*z^4 + a^6*z^4 - z^6 - 
   3*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15456] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - (5*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + (4*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 15457] -> -1 - a^(-6) + 3/a^4 - a^(-2) + 
   a^4 - 3*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^2 - a^2*z^4, Knot[14, NonAlternating, 15458] -> 
  2 - a^2 - a^4 + a^6 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^2*z^4 - 
   a^4*z^4, Knot[14, NonAlternating, 15459] -> 2/a^8 - 3/a^6 - a^(-4) + 
   3/a^2 + z^2/a^10 + z^2/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4, Knot[14, NonAlternating, 15460] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - (3*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15461] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 15462] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 6*z^2 + 
   11*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + 14*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15463] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15464] -> 1 - 2/a^4 + 3/a^2 - a^2 + 7*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 15465] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 15466] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   5*z^2 + 11*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 15467] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + z^2/a^8 - z^2/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 15468] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 + (5*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 15469] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (11*z^2)/a^6 + z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 15470] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 15471] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (20*z^2)/a^8 + 
   (28*z^2)/a^6 - (6*z^2)/a^4 + (6*z^4)/a^10 - (23*z^4)/a^8 + (33*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (20*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 15472] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 15473] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 + z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 15474] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 8*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 15475] -> 
  3*a^4 - 2*a^6 + 4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 15476] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 - (2*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + z^4 - z^4/a^2 + 9*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 15477] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 3*a^4*z^2 + 14*a^6*z^2 - 
   8*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 19*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 15478] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 15479] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 15480] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 15481] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   31*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 15482] -> 5*a^6 - 5*a^8 + a^10 - 3*a^2*z^2 + 
   6*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15483] -> -2 + 7*a^2 - 5*a^4 + a^6 - 9*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 15484] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (4*z^2)/a^10 + 
   z^2/a^8 + (7*z^2)/a^6 - z^4/a^12 + (6*z^4)/a^10 - z^4/a^8 + (7*z^4)/a^6 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 15485] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   3*a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 15486] -> a^2 + a^4 - 2*a^8 + a^10 - 
   a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15487] -> 2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   z^6, Knot[14, NonAlternating, 15488] -> a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 15489] -> 
  3 + 2/a^4 - 4/a^2 + z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^6 + z^4/a^4 - z^4/a^2, Knot[14, NonAlternating, 15490] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 15491] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 15492] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 - z^2/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + (2*z^4)/a^8 + (2*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 15493] -> 
  a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15494] -> -2 + a^(-4) + 2*a^2 - 7*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 15495] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 
   3*a^2 - 20*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 
   24*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 15496] -> 
  -1 + 5*a^4 - 2*a^6 - a^8 - 3*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 9*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15497] -> 
  2*a^2 - a^4 - z^2 + z^2/a^2 + a^4*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 15498] -> 
  3 - a^(-4) - a^4 + 4*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + 
   z^4/a^2 + a^2*z^4, Knot[14, NonAlternating, 15499] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 15500] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   z^4/a^6 - (5*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 15501] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 2*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 15502] -> a^(-2) - a^4 + a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 - a^4*z^4 - z^6, 
 Knot[14, NonAlternating, 15503] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   z^2/a^8 - z^2/a^4 + z^2/a^2 + z^4 + z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15504] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15505] -> 6 - 3/a^2 - a^2 - a^4 + 8*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15506] -> 5 - 2/a^2 - 2*a^2 + 5*z^2 - (2*z^2)/a^2 - 
   a^4*z^2 + 4*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 15507] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 15508] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 15509] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 15510] -> 1 - a^6 + 2*a^8 - a^10 + a^2*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 - z^4 + a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 15511] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   3*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15512] -> -1 + a^(-4) + a^4 - 6*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15513] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 15514] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15515] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + z^2 - 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 5*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 15516] -> 
  4 - 2/a^2 - a^4 + 5*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   z^4 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 15517] -> 
  a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + 4*a^2*z^2 - 
   11*z^4 + (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15518] -> 3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15519] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   z^2/a^10 - (6*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4/a^8 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 15520] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 2*z^2 + 
   z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15521] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^8 + 
   (16*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 15522] -> 
  5 - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 15523] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   10*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 15524] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (12*z^2)/a^8 + 
   (17*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 15525] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   5*a^2*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15526] -> 
  3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 6*a^4*z^2 - 2*a^6*z^2 - 5*a^8*z^2 + 
   4*a^10*z^2 + 2*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 15527] -> 6 - 2/a^2 - 4*a^2 + a^4 + 
   9*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^2, Knot[14, NonAlternating, 15528] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - 2*z^4 - 2*a^2*z^4, Knot[14, NonAlternating, 15529] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 15530] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 15531] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (7*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 15532] -> 
  4 - a^(-4) - 2*a^2 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 15533] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - 
   z^8, Knot[14, NonAlternating, 15534] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15535] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   6*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 
   5*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15536] -> 3 - a^(-2) - a^2 + 9*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 15537] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 20*a^6*z^4 - 6*a^8*z^4 + 
   4*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 15538] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15539] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 3*z^2 + 6*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 4*z^4 + 10*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 15540] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 15541] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   9*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 15542] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 15543] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 15544] -> 
  -3 + 2/a^2 + 2*a^2 - a^4 + 2*a^6 - a^8 - 5*z^2 + (3*z^2)/a^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 4*z^4 + z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15545] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 + z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[14, NonAlternating, 15546] -> 2*a^2 - a^4 + z^2 - z^2/a^6 + z^2/a^2 + 
   a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 15547] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + a^6*z^2 - 2*z^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4, 
 Knot[14, NonAlternating, 15548] -> 2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 7*z^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15549] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 15550] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + z^2 + z^2/a^4 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15551] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15552] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (3*z^2)/a^14 - (11*z^2)/a^12 + (20*z^2)/a^10 + (6*z^2)/a^8 - 
   z^4/a^14 - (6*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15553] -> 4*a^6 - 3*a^8 - a^2*z^2 + 14*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 17*a^6*z^4 - 8*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 15554] -> -4 + 2/a^2 + 4*a^2 - a^4 - 6*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 15555] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) + z^2/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 15556] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15557] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 8*z^2 - 
   (4*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 + 
   z^6, Knot[14, NonAlternating, 15558] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 15559] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15560] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 
   z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^2*z^4 - a^4*z^4, 
 Knot[14, NonAlternating, 15561] -> a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^8 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 15562] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15563] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15564] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + (5*z^2)/a^8 - 
   (12*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^6 + 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15565] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 9*z^2 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 + 
   a^4*z^4 + z^6, Knot[14, NonAlternating, 15566] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15567] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15568] -> 1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 - z^6, Knot[14, NonAlternating, 15569] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 + z^2/a^8 - (4*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4, 
 Knot[14, NonAlternating, 15570] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^2 + 
   a^2*z^4, Knot[14, NonAlternating, 15571] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, Knot[14, NonAlternating, 15572] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15573] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 + z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15574] -> -a^(-8) + 2/a^4 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - (5*z^4)/a^8 + (10*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 15575] -> 
  a^2 + a^4 - a^6 - 3*z^2 + 6*a^2*z^2 - a^6*z^2 - 4*z^4 + 10*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15576] -> 2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 15577] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 15578] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 - 
   2*z^6 - a^2*z^6, Knot[14, NonAlternating, 15579] -> 
  -1 + a^(-2) + a^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 - a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15580] -> 
  a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15581] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 
   3*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - a^2*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 15582] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - a^6*z^4 - 
   2*a^8*z^4, Knot[14, NonAlternating, 15583] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 15584] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 3*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 15585] -> 
  1 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 15586] -> a^2 + a^4 - a^6 - 2*a^2*z^2 + 7*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15587] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15588] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 15589] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   6*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 2*a^4*z^4 - 4*a^6*z^4 + 
   a^8*z^4 - a^6*z^6, Knot[14, NonAlternating, 15590] -> 
  1 - z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 15591] -> 
  -1 + a^(-4) + a^4 - 2*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15592] -> -1 + a^(-2) + a^2 + z^2/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15593] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 15594] -> 2 - 2*a^2 + a^4 - z^2 + a^2*z^2 - 
   a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 15595] -> 
  2*a^6 + a^8 - 3*a^10 + 2*a^12 - a^14 + 6*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 
   2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 5*a^8*z^4 + a^12*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 15596] -> a^4 + a^6 - a^8 + a^12 - 
   a^14 + 2*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + a^12*z^2 + a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4, Knot[14, NonAlternating, 15597] -> a^(-16) - 3/a^14 + a^(-10) + 
   2/a^8 - (4*z^2)/a^14 + (6*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 15598] -> -a^(-8) + 2/a^4 + z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15599] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15600] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 - z^2/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 15601] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (6*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 15602] -> -a^(-12) + 2/a^6 - z^2/a^12 + z^2/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^4 + z^4/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 15603] -> -1 + 3*a^2 - a^6 + 2*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15604] -> -1 + a^(-2) + a^2 + z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15605] -> -a^(-2) + 5*a^2 - 3*a^4 - 5*z^2 - 
   z^2/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 23*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 15606] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 15607] -> -3/a^8 + 4/a^6 - (10*z^2)/a^8 + 
   (22*z^2)/a^6 - (6*z^2)/a^4 - (8*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 15608] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + 
   (3*z^2)/a^14 - (20*z^2)/a^12 + (22*z^2)/a^10 + (7*z^2)/a^8 + z^4/a^14 - 
   (17*z^4)/a^12 + (32*z^4)/a^10 + (9*z^4)/a^8 - (4*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15609] -> 4*a^6 - 3*a^8 - 6*a^4*z^2 + 22*a^6*z^2 - 
   10*a^8*z^2 - 7*a^4*z^4 + 26*a^6*z^4 - 8*a^8*z^4 - 2*a^4*z^6 + 12*a^6*z^6 - 
   2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 15610] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 16*z^2 + (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 15611] -> 
  a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (7*z^4)/a^2 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 15612] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 
   3*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 4*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (24*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 15613] -> 
  -3/a^4 + 5/a^2 - a^2 - 5*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 - 
   a^2*z^2 - 6*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 15614] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 15615] -> 2*a^2 - a^4 - z^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15616] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   5*z^2 + z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 2*z^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 15617] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   7*z^4 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 15618] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 15619] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 15620] -> 
  -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 17*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (6*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15621] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + 
   4*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15622] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + 
   a^2*z^2 + 3*a^4*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 3*a^4*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 15623] -> a^(-2) - a^4 + a^6 - 2*z^2 + 
   z^2/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 15624] -> -3 + a^(-4) + a^(-2) + a^2 + 
   a^4 - 4*z^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 15625] -> a^2 + a^4 - a^6 + 2*z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + a^8*z^2 + z^4 - 4*a^2*z^4 - a^6*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 15626] -> 2 - a^2 - a^4 + a^6 + 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 15627] -> a^(-4) - 2*a^2 + 2*a^4 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 2*z^4 + (2*z^4)/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 15628] -> 2 + a^(-4) - 2/a^2 - z^2 - z^2/a^8 + 
   z^2/a^6 - z^4 + z^4/a^6 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 15629] -> -1 + a^(-4) + a^4 - z^2 - z^2/a^4 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 15630] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + 
   2*z^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   4*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15631] -> a^6 + 3*a^8 - 3*a^10 + a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + 10*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 
   10*a^6*z^4 + 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15632] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 + 
   z^2 - z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 15633] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 9*z^2 - z^2/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 15634] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 15635] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 7*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 15636] -> -2/a^6 + 3/a^4 - z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 15637] -> -2*a^2 + 7*a^4 - 4*a^6 - 
   4*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + 9*a^4*z^4 - 
   a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15638] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 15639] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 15640] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - (6*z^4)/a^6 + z^4/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 15641] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 15642] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 + z^2/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10, 
 Knot[14, NonAlternating, 15643] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - a^2*z^4, 
 Knot[14, NonAlternating, 15644] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15645] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   2*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15646] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15647] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   z^4 - z^4/a^6 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15648] -> 2*a^2 - a^4 + z^2/a^2 - a^2*z^2 + 
   a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15649] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4 - z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 15650] -> 
  1 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15651] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 3*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 3*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - 
   a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 15652] -> -2 + a^(-4) + 2*a^2 - 6*z^2 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15653] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (9*z^2)/a^12 + (24*z^2)/a^10 + (4*z^2)/a^8 - 
   (5*z^4)/a^14 - (2*z^4)/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 15654] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 15655] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15656] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 + 
   z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^4 - 
   (3*z^4)/a^2, Knot[14, NonAlternating, 15657] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (3*z^2)/a^14 - (5*z^2)/a^12 + 
   (12*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (13*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 15658] -> a^2 + a^4 - a^6 - 3*z^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 5*a^2*z^4 + 5*a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 15659] -> 
  -2/a^10 + a^(-8) + 2/a^6 + z^2/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 + 
   (8*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - 
   z^6/a^10 + z^6/a^6, Knot[14, NonAlternating, 15660] -> 
  2/a^10 - 5/a^8 + 3/a^6 + a^(-2) + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15661] -> a^(-14) - 5/a^12 + 4/a^10 + a^(-6) - 
   (6*z^2)/a^12 + (12*z^2)/a^10 + z^2/a^6 + (4*z^2)/a^4 - z^4/a^12 + 
   (10*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 15662] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 15663] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 8*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15664] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (15*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 24*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (39*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 15665] -> -2 + 4*a^2 + a^4 - 2*a^6 - 5*z^2 + 
   12*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^6*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 15666] -> -a^(-10) - a^(-8) + 3/a^6 + 
   z^2/a^14 - (6*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^4)/a^12 + (11*z^4)/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 + (4*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 15667] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 15668] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15669] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15670] -> 3 - 2/a^8 + 5/a^6 - 4/a^4 - a^2 + 6*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15671] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 15672] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15673] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 15674] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 + z^2/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - z^4/a^4 + 
   (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 15675] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 + (6*z^4)/a^10 - (23*z^4)/a^8 + 
   (27*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 15676] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   13*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + 12*a^2*z^4 - 
   18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 15677] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15678] -> 2*a^2 - 3*a^4 + 2*a^6 + 3*a^8 - 4*a^10 + 
   a^12 + 6*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + 
   5*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 15679] -> 
  -1 + a^(-2) + a^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 - a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15680] -> 
  a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + z^2 - 2*a^2*z^2 + 7*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 + z^4 - 5*a^2*z^4 + 7*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15681] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 + a^2*z^4 - a^4*z^4, 
 Knot[14, NonAlternating, 15682] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 
   6*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 15683] -> a^2 + 2*a^6 - 3*a^8 + a^10 + a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + a^4*z^4 + 2*a^6*z^4, 
 Knot[14, NonAlternating, 15684] -> a^6 + 3*a^8 - 3*a^10 + a^2*z^2 + 
   2*a^4*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - 3*a^6*z^4 + 5*a^8*z^4 - 
   a^4*z^6 - 2*a^6*z^6, Knot[14, NonAlternating, 15685] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 15686] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 15687] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + z^4 + a^2*z^4, 
 Knot[14, NonAlternating, 15688] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 15689] -> 2*a^2 - 2*a^6 + a^8 + z^2 - z^2/a^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15690] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 15691] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   3*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 15692] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 + (6*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15693] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 15694] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   z^4 - z^4/a^6 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15695] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 
   5*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 15696] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (5*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 15697] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   9*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - 12*z^4 + 
   z^4/a^2 + 22*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 - 6*z^6 + 18*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 15698] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 15699] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 15700] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 15701] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 15702] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 15703] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 15704] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15705] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 15706] -> 
  -3/a^8 + 4/a^6 - z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 + (7*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 15707] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 15708] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 + (5*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (8*z^4)/a^8 + z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15709] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (5*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + z^4/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 15710] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 
   a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 - 2*a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + a^8*z^6, Knot[14, NonAlternating, 15711] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 15712] -> 
  -a^(-10) + 3/a^4 - a^(-2) - z^2 + z^2/a^6 + (7*z^2)/a^4 - z^4 - z^4/a^8 + 
   z^4/a^6 + (5*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15713] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - a^2*z^4 - 
   2*a^4*z^4 + a^8*z^4, Knot[14, NonAlternating, 15714] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^8 - z^4/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 15715] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 5*z^2 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 15716] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 2*z^2 - 8*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 15717] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - 
   a^2 + 6*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 15718] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 2*z^4 + 3*a^2*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 15719] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 15720] -> -a^(-12) + 2/a^6 - (2*z^2)/a^12 + 
   (5*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - 
   (5*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 15721] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 15722] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 15723] -> 
  1 - a^2 + 3*a^6 - 2*a^8 - z^2 + 4*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15724] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - z^2/a^2 - a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 15725] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 15726] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15727] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15728] -> -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + a^2*z^4 - 
   z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 15729] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 15730] -> 
  -a^4 + 6*a^6 - 4*a^8 - 4*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 - 4*a^4*z^4 + 
   18*a^6*z^4 - 5*a^8*z^4 - a^4*z^6 + 7*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 15731] -> 5 - a^(-2) - 4*a^2 + a^6 + 7*z^2 - 
   z^2/a^2 - 9*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 7*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15732] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   (7*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 + (4*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 15733] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (5*z^2)/a^14 - 
   (13*z^2)/a^12 + (27*z^2)/a^10 + (3*z^2)/a^8 - (5*z^4)/a^14 - 
   (4*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15734] -> 2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^2 - 
   7*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 15735] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 15736] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 15737] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + z^2/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^10 + z^4/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^6, Knot[14, NonAlternating, 15738] -> 
  -a^(-10) + 3/a^4 - a^(-2) - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 15739] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 15740] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 15741] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 15742] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (13*z^2)/a^6 + (6*z^4)/a^10 - (22*z^4)/a^8 + (23*z^4)/a^6 - 
   (6*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 15743] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15744] -> 4*a^4 - 4*a^6 + a^8 + z^2 - 2*a^2*z^2 + 
   7*a^4*z^2 - 5*a^6*z^2 + a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15745] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 4*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15746] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 5*z^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 15747] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - 2*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 15748] -> -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15749] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 15750] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 2*a^4*z^2 + 13*a^6*z^2 - 20*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 - 
   5*a^4*z^4 + 20*a^6*z^4 - 26*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 
   17*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 15751] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 15752] -> 2*a^4 - a^8 + z^2 - a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 15753] -> 2*a^4 - 2*a^8 + 2*a^10 - 
   a^12 + a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 15754] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15755] -> 3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 15756] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15757] -> -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + a^2*z^4 - 
   z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 15758] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 15759] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 2*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 
   2*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - a^4*z^6 - 
   a^6*z^6, Knot[14, NonAlternating, 15760] -> -3 + 2/a^2 + a^2 + 2*a^4 - 
   a^6 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 3*z^4 + 2*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 15761] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 15762] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + z^6, Knot[14, NonAlternating, 15763] -> 
  5 - 2/a^2 - 2*a^2 + 7*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 15764] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 15765] -> 4*a^8 - 3*a^10 + a^12 - a^14 + 
   a^4*z^2 + 5*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 + a^4*z^4 + 
   3*a^6*z^4 + 3*a^8*z^4, Knot[14, NonAlternating, 15766] -> 
  2*a^2 - 2*a^6 + a^8 + a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15767] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 - 
   (5*z^2)/a^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 15768] -> -1 + a^(-2) + 2*a^2 - a^4 - 
   a^6 + a^8 - 4*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 15769] -> 
  -a^(-4) + 2/a^2 - 7*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15770] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 15771] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 21*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (19*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 15772] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 15*z^2 + 
   (5*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15773] -> -a^(-2) + 5*a^2 - 3*a^4 - z^2/a^4 + 
   9*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 15774] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   3*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 15775] -> 1 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 15776] -> 
  2*a^2 - a^4 - z^2 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 15777] -> -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + 
   a^10 - a^2*z^2 + 3*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 15778] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 15779] -> 4 - 3/a^6 + 5/a^4 - 3/a^2 - 
   2*a^2 + 6*z^2 - (7*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^6 + (7*z^6)/a^4 + z^8/a^4, Knot[14, NonAlternating, 15780] -> 
  a^(-6) - 3/a^4 + 3/a^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^8 + (14*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 15781] -> -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 
   7*a^2*z^2 + 18*a^4*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 13*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + 3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15782] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 + 3*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - 
   11*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 9*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - 2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 15783] -> 
  -a^(-4) + 2/a^2 - z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - z^4/a^2 - z^6/a^6 + (6*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 15784] -> 2/a^8 - 6/a^6 + 5/a^4 + (3*z^2)/a^8 - 
   (9*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 15785] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 15786] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 15787] -> -1 + 5*a^4 - 2*a^6 - a^8 - 3*z^2 + 
   5*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 15788] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   5*z^2 - 6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + z^4 + z^4/a^2 - 8*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 15789] -> -3/a^10 + 3/a^8 + a^(-6) - z^2/a^12 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^10 + (4*z^4)/a^6 + 
   z^4/a^4 - z^6/a^8, Knot[14, NonAlternating, 15790] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 15791] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 15792] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15793] -> a^6 + 3*a^8 - 3*a^10 + 2*a^4*z^2 + 
   2*a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 + 3*a^4*z^4 - 3*a^6*z^4 + 8*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 15794] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - 
   6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 6*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 15795] -> 
  1 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 15796] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15797] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 15798] -> 
  a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 + z^2/a^16 - (6*z^2)/a^14 - z^2/a^12 + 
   (4*z^2)/a^10 + (12*z^2)/a^8 - (5*z^4)/a^14 + (3*z^4)/a^12 + 
   (14*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15799] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 
   6*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - a^12*z^2 - 2*a^6*z^4 + 19*a^8*z^4 - 
   7*a^10*z^4 - 4*a^6*z^6 + 18*a^8*z^6 - 5*a^10*z^6 - a^6*z^8 + 7*a^8*z^8 - 
   a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 15800] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 7*z^2 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 2*z^4 + (11*z^4)/a^4 - (23*z^4)/a^2 + 4*a^2*z^4 + 
   (6*z^6)/a^4 - (22*z^6)/a^2 + a^2*z^6 + z^8/a^4 - (8*z^8)/a^2 - z^10/a^2, 
 Knot[14, NonAlternating, 15801] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 8*z^2 - 
   (8*z^2)/a^6 + (9*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - (12*z^4)/a^6 + 
   (27*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (6*z^6)/a^6 + (23*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 + (8*z^8)/a^4 + z^10/a^4, Knot[14, NonAlternating, 15802] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 5*a^4*z^2 - 9*a^6*z^2 + 15*a^8*z^2 - 
   6*a^10*z^2 + 2*a^4*z^4 - 7*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 - 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 15803] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + (6*z^2)/a^4 - (13*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (5*z^4)/a^4 - (15*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6/a^4 - (7*z^6)/a^2 - a^2*z^6 - z^8/a^2, 
 Knot[14, NonAlternating, 15804] -> -4/a^6 + 7/a^4 - 2/a^2 - (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (22*z^2)/a^4 - (9*z^2)/a^2 - (3*z^4)/a^8 + (23*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (11*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4, Knot[14, NonAlternating, 15805] -> 
  4*a^4 - 7*a^6 + 7*a^8 - 3*a^10 + 6*a^4*z^2 - 12*a^6*z^2 + 17*a^8*z^2 - 
   6*a^10*z^2 + 2*a^4*z^4 - 8*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 - 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 15806] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 10*z^2 + z^2/a^6 + (10*z^2)/a^4 - 
   (22*z^2)/a^2 + 8*z^4 + (3*z^4)/a^6 + z^4/a^4 - (23*z^4)/a^2 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (11*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 15807] -> 5 - 3/a^6 + 6/a^4 - 5/a^2 - 2*a^2 + 
   7*z^2 - (7*z^2)/a^6 + (16*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - 
   (5*z^4)/a^6 + (16*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^6 + 
   (7*z^6)/a^4 + z^8/a^4, Knot[14, NonAlternating, 15808] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   7*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 - a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 15809] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 9*z^2 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 15810] -> 
  3 - a^(-2) - 2*a^4 + a^6 - 2*z^2 + z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15811] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15812] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 15813] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 15814] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 15815] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 15816] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + (6*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 
   z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 15817] -> 2*a^4 - a^8 - 3*a^2*z^2 + 9*a^4*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - 
   a^2*z^6 + 6*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 15818] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15819] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + 
   3*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15820] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15821] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15822] -> 2*a^2 - 2*a^6 + a^8 + z^2 + a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + a^10*z^2 - 2*a^2*z^4 - a^4*z^4 - a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15823] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^8 + (14*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 15824] -> -a^(-6) + a^(-4) + a^(-2) + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 15825] -> 
  1 + a^(-2) - 2*a^2 + a^6 - 3*z^2 + z^2/a^2 - 3*a^4*z^2 + a^6*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15826] -> -1 + 4*a^2 - 2*a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 22*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 15827] -> 2*a^4 - a^8 + z^2 - a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 15828] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 15829] -> 
  1 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15830] -> 2*a^6 + a^8 - 2*a^10 + 4*a^4*z^2 + 
   5*a^8*z^2 - a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - 
   2*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 15831] -> 
  1 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 15832] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 15833] -> 1 - 5*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15834] -> -1 + a^(-2) + a^2 - z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15835] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + 
   (6*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 15836] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 - (8*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   18*z^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 15837] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + z^4/a^4 - z^6/a^10 + (4*z^6)/a^8 - z^6/a^6 + 
   z^8/a^8, Knot[14, NonAlternating, 15838] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15839] -> 3 - a^(-4) - a^4 + 10*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 10*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - 
   a^4*z^4 + 3*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 15840] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 15841] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 
   z^4/a^8 - (4*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15842] -> -3*a^2 + 6*a^4 + a^6 - 3*a^8 - 
   11*a^2*z^2 + 22*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 - 9*a^2*z^4 + 25*a^4*z^4 + 
   8*a^6*z^4 - 5*a^8*z^4 - 2*a^2*z^6 + 12*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 15843] -> 
  -1 + 4*a^4 - 2*a^8 - 4*z^2 + 3*a^2*z^2 + 11*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - 
   2*z^4 + 5*a^2*z^4 + 10*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15844] -> 
  5*a^8 - 4*a^10 - 6*a^6*z^2 + 32*a^8*z^2 - 16*a^10*z^2 - 11*a^6*z^4 + 
   49*a^8*z^4 - 17*a^10*z^4 - 6*a^6*z^6 + 31*a^8*z^6 - 7*a^10*z^6 - a^6*z^8 + 
   9*a^8*z^8 - a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 15845] -> 
  3 + 2/a^4 - 4/a^2 + 13*z^2 + (13*z^2)/a^4 - (28*z^2)/a^2 + 16*z^4 + 
   (16*z^4)/a^4 - (45*z^4)/a^2 + 7*z^6 + (7*z^6)/a^4 - (30*z^6)/a^2 + z^8 + 
   z^8/a^4 - (9*z^8)/a^2 - z^10/a^2, Knot[14, NonAlternating, 15846] -> 
  -3/a^6 + 5/a^4 - a^(-2) - (13*z^2)/a^6 + (29*z^2)/a^4 - (12*z^2)/a^2 - 
   (16*z^4)/a^6 + (45*z^4)/a^4 - (16*z^4)/a^2 - (7*z^6)/a^6 + (30*z^6)/a^4 - 
   (7*z^6)/a^2 - z^8/a^6 + (9*z^8)/a^4 - z^8/a^2 + z^10/a^4, 
 Knot[14, NonAlternating, 15847] -> -a^4 + 4*a^6 - 2*a^10 - 4*a^4*z^2 + 
   12*a^6*z^2 + 8*a^8*z^2 - 7*a^10*z^2 - 4*a^4*z^4 + 13*a^6*z^4 + 
   12*a^8*z^4 - 5*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 15848] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 
   11*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15849] -> 
  -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (8*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15850] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 - a^4*z^2 + 
   3*a^6*z^2 + 15*a^8*z^2 - 8*a^10*z^2 - 3*a^4*z^4 + 8*a^6*z^4 + 14*a^8*z^4 - 
   5*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 15851] -> 4 + 3/a^4 - 6/a^2 + 8*z^2 + 
   (4*z^2)/a^6 - (15*z^2)/a^2 + 5*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (14*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 15852] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 - 
   3*z^2 - (7*z^2)/a^6 + (14*z^2)/a^4 - z^2/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 15853] -> 
  2*a^6 + a^8 - 2*a^10 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 15854] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 + (2*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + 
   3*a^2*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 15855] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 15856] -> 2/a^16 - 10/a^14 + 9/a^12 + 
   (7*z^2)/a^16 - (51*z^2)/a^14 + (63*z^2)/a^12 + (5*z^4)/a^16 - 
   (73*z^4)/a^14 + (131*z^4)/a^12 + z^6/a^16 - (43*z^6)/a^14 + 
   (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 15857] -> 
  a^(-16) - 6/a^14 + 4/a^12 + 2/a^10 + (3*z^2)/a^16 - (24*z^2)/a^14 + 
   (21*z^2)/a^12 + (18*z^2)/a^10 + z^4/a^16 - (25*z^4)/a^14 + (37*z^4)/a^12 + 
   (36*z^4)/a^10 - (9*z^6)/a^14 + (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 15858] -> 2/a^16 - 9/a^14 + 7/a^12 + a^(-10) + 
   (3*z^2)/a^16 - (26*z^2)/a^14 + (24*z^2)/a^12 + (17*z^2)/a^10 + z^4/a^16 - 
   (25*z^4)/a^14 + (38*z^4)/a^12 + (36*z^4)/a^10 - (9*z^6)/a^14 + 
   (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 15859] -> 
  a^(-16) - 5/a^14 + 2/a^12 + 3/a^10 + z^2/a^16 - (11*z^2)/a^14 + 
   (5*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15860] -> 2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 + 
   (3*z^2)/a^16 - (22*z^2)/a^14 + (15*z^2)/a^12 + (21*z^2)/a^10 + z^4/a^16 - 
   (21*z^4)/a^14 + (26*z^4)/a^12 + (40*z^4)/a^10 - (8*z^6)/a^14 + 
   (22*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 15861] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + z^2 - (7*z^2)/a^6 + (18*z^2)/a^4 - 
   (10*z^2)/a^2 - (5*z^4)/a^6 + (17*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + 
   (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 15862] -> 
  5 + 4/a^4 - 8/a^2 + 12*z^2 + (4*z^2)/a^6 + (4*z^2)/a^4 - (24*z^2)/a^2 + 
   9*z^4 + (4*z^4)/a^6 - (3*z^4)/a^4 - (26*z^4)/a^2 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (12*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 15863] -> a^(-16) - 4/a^14 + 4/a^10 + z^2/a^16 - 
   (9*z^2)/a^14 + z^2/a^12 + (17*z^2)/a^10 + (6*z^2)/a^8 - (6*z^4)/a^14 + 
   (6*z^4)/a^12 + (23*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15864] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 15865] -> 3/a^4 - 4/a^2 + 2*a^2 - 3*z^2 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (11*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + z^4/a^6 - 
   z^4/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 15866] -> 2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 15867] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15868] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 
   5*z^2 + 13*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 15869] -> 
  1 + 2/a^6 - 3/a^4 + a^(-2) - a^2 + a^4 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 15870] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 
   4*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 15871] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - 2*z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 15872] -> 1 + a^(-6) - 2/a^2 + a^2 - 2*z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 15873] -> 
  a^(-6) - a^(-2) + a^4 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15874] -> -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 
   5*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 15875] -> 
  -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 15876] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 15877] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 18*z^2 + (6*z^2)/a^2 + 18*a^2*z^2 - 
   5*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15878] -> 1 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 15879] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15880] -> 2 - a^(-2) + a^2 - a^4 + 8*z^2 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15881] -> 2 - a^(-2) + a^2 - a^4 + 8*z^2 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 14*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + 9*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15882] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 13*z^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + 9*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15883] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 + 
   (2*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 + z^6/a^8 - 
   (5*z^6)/a^6 - z^8/a^6, Knot[14, NonAlternating, 15884] -> 
  -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 2*a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 - 4*z^4 + 
   7*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 15885] -> 
  3 + 2/a^4 - 4/a^2 + 7*z^2 + (2*z^2)/a^6 + (3*z^2)/a^4 - (14*z^2)/a^2 + 
   5*z^4 + z^4/a^6 + z^4/a^4 - (16*z^4)/a^2 + z^6 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15886] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 - 
   (7*z^2)/a^6 + (15*z^2)/a^4 - (2*z^2)/a^2 - z^4 - (5*z^4)/a^6 + 
   (16*z^4)/a^4 - z^4/a^2 - z^6/a^6 + (7*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 15887] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 15888] -> -1 + 3*a^2 - a^6 - 2*z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 + a^4*z^4 - 
   a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 15889] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15890] -> 2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 + 
   (3*z^2)/a^16 - (24*z^2)/a^14 + (19*z^2)/a^12 + (19*z^2)/a^10 + z^4/a^16 - 
   (24*z^4)/a^14 + (34*z^4)/a^12 + (37*z^4)/a^10 - (9*z^6)/a^14 + 
   (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 15891] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^10 + (5*z^2)/a^6 + z^2/a^4 - 
   (2*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 15892] -> 
  2 - 2*a^2 + a^4 - 3*z^2 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15893] -> a^(-16) - 4/a^14 + 4/a^10 + z^2/a^16 - 
   (11*z^2)/a^14 + (5*z^2)/a^12 + (15*z^2)/a^10 + (6*z^2)/a^8 - 
   (7*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 15894] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   z^2 + 2*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 15895] -> -7 + 4/a^2 + 4*a^2 - 26*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 8*a^2*z^2 - 29*z^4 + z^4/a^6 - 
   (15*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 - (7*z^6)/a^4 + 
   (24*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 15896] -> a^4 + 2*a^6 - 2*a^8 - 4*z^2 + 8*a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15897] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 + 
   z^2/a^14 - (9*z^2)/a^12 + (11*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^4)/a^12 + (13*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + (4*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 15898] -> 
  -a^2 + 5*a^4 - 3*a^6 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 13*a^4*z^2 - 
   5*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 15899] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 21*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 15900] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 - z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   3*a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 15901] -> 2*a^2 - a^4 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 15902] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + 7*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 15903] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 15904] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^8 - (10*z^4)/a^4 - z^4/a^2 - 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 15905] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - a^2*z^2 + 
   3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 15906] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 4*a^2*z^2 + 8*a^4*z^2 + 7*a^6*z^2 - 
   5*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 15907] -> -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 
   2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15908] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15909] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 7*a^2*z^2 + 17*a^4*z^2 - 3*a^8*z^2 - 5*a^2*z^4 + 
   17*a^4*z^4 - a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15910] -> -3/a^10 + 3/a^8 + a^(-6) + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (13*z^2)/a^8 + (4*z^2)/a^6 + (3*z^4)/a^12 - 
   (10*z^4)/a^10 + (12*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 15911] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 15912] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 3*z^2 + 
   4*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 + 5*a^4*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 15913] -> 
  -2/a^10 + a^(-8) + 2/a^6 + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (2*z^4)/a^10 + (4*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 15914] -> 
  2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + (3*z^2)/a^16 - (25*z^2)/a^14 + 
   (20*z^2)/a^12 + (18*z^2)/a^10 + z^4/a^16 - (25*z^4)/a^14 + (37*z^4)/a^12 + 
   (36*z^4)/a^10 - (9*z^6)/a^14 + (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 15915] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) + z^2/a^16 - (11*z^2)/a^14 + (4*z^2)/a^12 + (16*z^2)/a^10 + 
   (5*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + (25*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 15916] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 15917] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15918] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + 
   (5*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 15919] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 15920] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 15921] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 
   9*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 15922] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 15923] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   4*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   9*a^4*z^4 + 10*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 15924] -> 
  4*a^6 - 3*a^8 + 2*z^2 - a^2*z^2 - 3*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 
   z^4 - a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 15925] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 
   2*a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   4*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 15926] -> -2 + 6*a^2 - 3*a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 16*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 15927] -> -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 
   4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 15928] -> 3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 15929] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 + 
   8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 15930] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 15931] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - z^2/a^6 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   13*z^4 + z^4/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 15932] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 
   22*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 15933] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (5*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15934] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 3*z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15935] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 15936] -> a^4 + a^8 - a^12 + 6*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 6*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 15937] -> 1 - a^(-2) + 2*a^2 - a^6 + 5*z^2 - 
   (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 15938] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 4*z^2 - 
   z^2/a^2 + 9*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - z^4/a^2 + 9*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 15939] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + 
   z^2/a^16 - (9*z^2)/a^14 + z^2/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - 
   (7*z^4)/a^14 + (7*z^4)/a^12 + (23*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 15940] -> 
  3*a^4 - 2*a^6 - 2*z^2 + a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   3*a^2*z^4 + 7*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15941] -> 7 - 4/a^2 - 2*a^4 + 18*z^2 - 
   (9*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 20*z^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15942] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 15943] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (6*z^2)/a^14 - 
   (8*z^2)/a^12 + (21*z^2)/a^10 + (5*z^2)/a^8 - (5*z^4)/a^14 - (2*z^4)/a^12 + 
   (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15944] -> -2/a^8 + 2/a^6 + a^(-4) - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 15945] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 15946] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 
   9*a^8*z^2 - 5*a^10*z^2 + a^4*z^4 - 2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 - 
   a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 15947] -> 2 - a^2 - a^4 + a^6 + 6*z^2 - 
   11*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 15*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 + z^6 - 7*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 15948] -> 
  -a^(-8) + 2/a^4 - (3*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 15949] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 
   3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - 
   a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 15950] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 
   4*a^6*z^2 + 3*z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 15951] -> 1 + a^2 - a^4 - a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 15952] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 - 
   z^2/a^4 - z^2/a^2 - 3*a^4*z^2 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 15953] -> a^(-4) - 2*a^2 + 2*a^4 - 4*z^2 - 
   z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 15954] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + (4*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 15955] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^4 - a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 15956] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^10*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15957] -> a^2 + a^4 - a^6 + z^2 - a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15958] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 15959] -> 
  -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 2*z^2 - 3*a^2*z^2 + 16*a^4*z^2 - 3*a^8*z^2 - 
   z^4 + a^2*z^4 + 12*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 15960] -> -1 + 5*a^4 - 2*a^6 - a^8 - 
   z^2 - z^2/a^2 + 3*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - a^8*z^2 + z^4 + 
   3*a^2*z^4 + 4*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 15961] -> 
  2/a^16 - 8/a^14 + 6/a^12 + a^(-8) + z^2/a^16 - (14*z^2)/a^14 + 
   (15*z^2)/a^12 + (4*z^2)/a^10 + (10*z^2)/a^8 - (7*z^4)/a^14 + 
   (16*z^4)/a^12 + (10*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + 
   (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 15962] -> -3/a^6 + 7/a^4 - 4/a^2 + a^2 - z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^6 + (6*z^4)/a^4 - 
   z^4/a^2 + z^6/a^4, Knot[14, NonAlternating, 15963] -> 
  5 + a^(-6) + 2/a^4 - 7/a^2 + 7*z^2 + (2*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (13*z^2)/a^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (9*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 15964] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) - (5*z^2)/a^14 + 
   (3*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^14 + 
   (4*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 15965] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 15966] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 2*z^2 + 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2, Knot[14, NonAlternating, 15967] -> 
  -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 15968] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 15969] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 15970] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - z^2 - 
   z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 15971] -> 
  2*a^6 - a^12 + 3*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   5*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 15972] -> a^2 + a^6 - a^8 + 2*z^2 - 
   a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15973] -> 1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15974] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 
   a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15975] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + 
   2*z^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   4*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 15976] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 15977] -> a^4 + 2*a^8 - 2*a^10 + 2*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 2*a^4*z^4 - 8*a^6*z^4 + 
   5*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15978] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 15979] -> -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 - 
   (5*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 9*z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15980] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 15981] -> 
  4 - 6*a^2 + 3*a^4 + 2*z^2 + (2*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 15982] -> 
  3 - 2*a^2 - 2*a^4 + 2*a^6 + 4*z^2 - 6*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 
   3*z^4 - 7*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 15983] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^8 - (10*z^4)/a^4 - z^4/a^2 - 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 15984] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15985] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 4*z^2 - 
   (4*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 15986] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   4*a^2*z^2 + 12*a^4*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 15987] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + z^2/a^12 - (8*z^2)/a^10 + 
   (10*z^2)/a^8 + (5*z^2)/a^6 + (2*z^4)/a^12 - (5*z^4)/a^10 + (6*z^4)/a^8 + 
   (6*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - z^6/a^8 + (2*z^6)/a^6 - z^8/a^10 - 
   z^8/a^8, Knot[14, NonAlternating, 15988] -> -a^2 + 5*a^4 - 3*a^6 + z^2 - 
   5*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 15989] -> 2*a^2 - a^4 - 2*z^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 15990] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 15991] -> 2*a^2 - a^4 + z^2 + a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 15992] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 15993] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 + z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 - z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 15994] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   4*z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 15995] -> -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 - 2*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 15996] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^8 - (11*z^4)/a^4 - z^4/a^2 - 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 15997] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2, 
 Knot[14, NonAlternating, 15998] -> a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 - 
   (3*z^2)/a^14 - (3*z^2)/a^12 + (4*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + (10*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 15999] -> 
  4 - a^(-4) - 3*a^2 + 2*a^4 - a^6 + 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 16000] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2 + z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 16001] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 2*z^2 - z^2/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 16002] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 16003] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16004] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 - (4*z^2)/a^14 - (6*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + z^4/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 16005] -> 1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 16006] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 
   z^2/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 16007] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16008] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 - (2*z^2)/a^6 + (2*z^2)/a^2 - z^4 - 
   z^4/a^8 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16009] -> -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 + 
   3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - z^4 + 3*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 16010] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^4 + z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16011] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 5*z^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16012] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 + z^2 - 
   5*a^2*z^2 + 11*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16013] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 5*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 16014] -> -1 + 2*a^2 + a^4 - a^8 - 
   3*z^2 + z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   3*a^2*z^4 + a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 16015] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^12 + (3*z^2)/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16016] -> a^(-16) - 2/a^14 - a^(-12) + 
   3/a^8 - (3*z^2)/a^14 - (6*z^2)/a^12 + (10*z^2)/a^10 + (10*z^2)/a^8 - 
   z^4/a^14 - (3*z^4)/a^12 + (17*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 16017] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 16018] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^10 - (14*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - (10*z^4)/a^8 + (21*z^4)/a^6 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 16019] -> -a^(-6) + a^(-4) + a^(-2) + 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 16020] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 
   4*a^4*z^2 + 20*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   20*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 16021] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) - (17*z^2)/a^12 + (24*z^2)/a^10 + 
   (5*z^2)/a^8 - z^4/a^14 - (9*z^4)/a^12 + (30*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 16022] -> 2 - 3*a^4 + 2*a^6 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 16023] -> 
  2/a^4 - 2/a^2 + a^4 + z^2/a^4 - (5*z^2)/a^2 - a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 16024] -> 1 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16025] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   2*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16026] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 16027] -> 
  4*a^4 - 4*a^6 + a^8 + z^2 - 3*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 + 
   z^4 - 5*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 16028] -> 
  1 + a^(-10) - 2/a^8 + 4/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16029] -> 1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - 11*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 + z^6 - 6*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 16030] -> -2/a^6 + 3/a^4 + z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 16031] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 6*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16032] -> -a^(-4) + 2/a^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 16033] -> 
  1 + z^2 + z^2/a^10 - z^2/a^8 - z^2/a^2 - (2*z^4)/a^8 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 16034] -> 
  a^4 + a^6 - a^10 - a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16035] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 - (3*z^2)/a^14 - (4*z^2)/a^12 + (8*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + (11*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 16036] -> 3*a^6 - a^8 - a^10 + 7*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 16037] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 16038] -> 
  a^4 + a^6 - a^10 + a^2*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 
   3*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 16039] -> a^2 - a^4 + 3*a^6 - 2*a^8 - a^2*z^2 + 
   10*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 16040] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 16041] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 16042] -> -a^(-8) - a^(-6) + 4/a^4 - 
   a^(-2) - (2*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16043] -> 2 - 5*a^2 + 6*a^4 - a^6 - a^8 + 2*z^2 - 
   9*a^2*z^2 + 11*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16044] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 16045] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 
   2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 16046] -> 
  -1 + a^(-2) - a^2 + 3*a^4 - a^8 - 3*z^2 + z^2/a^2 - a^2*z^2 + 5*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 16047] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16048] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (28*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (16*z^4)/a^6 - (39*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (25*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 16049] -> 
  -1 + 7*a^2 - 8*a^4 + 3*a^6 - 4*z^2 + 21*a^2*z^2 - 30*a^4*z^2 + 13*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 24*a^2*z^4 - 40*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - z^6 + 
   12*a^2*z^6 - 25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 16050] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (4*z^2)/a^12 + (18*z^2)/a^10 - 
   (28*z^2)/a^8 + (19*z^2)/a^6 - (2*z^4)/a^12 + (22*z^4)/a^10 - 
   (40*z^4)/a^8 + (20*z^4)/a^6 + (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 16051] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 16052] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16053] -> -a^(-6) + 2/a^4 - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 16054] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 16055] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 16056] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 9*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16057] -> 2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 
   3*z^2 + (3*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + z^4 + z^4/a^8 - 
   z^4/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 16058] -> -7 - a^(-6) + 6/a^2 + 3*a^2 - 15*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (13*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + 
   (13*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16059] -> a^(-2) - a^4 + a^6 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 16060] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 7*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16061] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 16062] -> 
  -2 + a^(-4) + 2*a^2 - 12*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 16063] -> 
  4*a^6 - 3*a^8 + 11*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   10*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 16064] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^4 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 16065] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 21*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16066] -> 3*a^2 - 3*a^4 + a^6 - z^2 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16067] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 - (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 16068] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 23*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 30*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 16069] -> 
  -3/a^10 + 3/a^8 + a^(-6) - (2*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^10 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 16070] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 - z^2 - (7*z^2)/a^6 + (16*z^2)/a^4 - 
   (5*z^2)/a^2 - z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + 
   (7*z^6)/a^4 + z^8/a^4, Knot[14, NonAlternating, 16071] -> 
  4 + 3/a^4 - 6/a^2 + 8*z^2 + (2*z^2)/a^6 + (4*z^2)/a^4 - (17*z^2)/a^2 + 
   5*z^4 + z^4/a^6 + z^4/a^4 - (17*z^4)/a^2 + z^6 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16072] -> 3*a^4 - 2*a^6 - 4*z^2 + 6*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 11*a^2*z^4 + a^4*z^4 - a^6*z^4 - z^6 + 
   6*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 16073] -> 
  3 - 4*a^2 + 2*a^4 + z^2 + (2*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 16074] -> 
  2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + a^(-8) + z^2/a^16 - (13*z^2)/a^14 + 
   (9*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - (7*z^4)/a^14 + 
   (11*z^4)/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 16075] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 16076] -> -1 - 3/a^6 + 6/a^4 - 2/a^2 + a^2 - 
   2*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^6 + (6*z^4)/a^4 + 
   z^6/a^4, Knot[14, NonAlternating, 16077] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 
   5*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - (10*z^2)/a^2 + z^4 - z^4/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 16078] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 16079] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 + z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 16080] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   3*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16081] -> -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 16082] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - (5*z^2)/a^14 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + 
   (11*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 16083] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16084] -> 2*a^2 - a^4 + z^2 - z^2/a^4 + 2*a^2*z^2 - 
   a^6*z^2 + z^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16085] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 11*a^2*z^2 - 
   14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 16086] -> a^(-6) - 3/a^4 + 3/a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 16087] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + 
   (11*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + 
   (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 16088] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   7*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 9*a^2*z^4 - 
   19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 16089] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 16*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16090] -> -2 + a^(-2) + 3*a^2 - a^4 - 16*z^2 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16091] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (25*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 16092] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16093] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 16094] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 - z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 16095] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + z^2/a^16 - (8*z^2)/a^14 - 
   (5*z^2)/a^12 + (24*z^2)/a^10 + (3*z^2)/a^8 - (6*z^4)/a^14 + z^4/a^12 + 
   (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 16096] -> -a^(-12) + 2/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 + (4*z^4)/a^10 - (7*z^4)/a^8 + 
   (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 16097] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 16098] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + z^2 - 
   z^2/a^8 + (8*z^2)/a^4 - (6*z^2)/a^2 + (5*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 16099] -> -1 + 6*a^4 - 4*a^6 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   10*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 16100] -> 2 + 3/a^4 - 5/a^2 + a^2 + 3*z^2 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16101] -> a^2 + a^6 - a^8 - 3*z^2 + 6*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16102] -> a^(-14) - 7/a^12 + 7/a^10 + z^2/a^16 - 
   (4*z^2)/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 + (4*z^2)/a^8 - 
   (5*z^4)/a^14 - (3*z^4)/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 16103] -> -2/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 + (3*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 16104] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + (4*z^2)/a^8 + (4*z^2)/a^4 + 
   z^4/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 16105] -> 
  -3 - 4/a^4 + 8/a^2 - 2*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 - 
   2*a^2*z^2 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16106] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + z^2/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (18*z^2)/a^2 - 6*z^4 - (3*z^4)/a^6 - z^4/a^4 + (18*z^4)/a^2 - z^6 + 
   z^6/a^4 + (8*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16107] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 16108] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^4 - 4*a^2*z^2 + 3*a^4*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 16109] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   2*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 16110] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 + z^2/a^14 - (9*z^2)/a^12 + (15*z^2)/a^10 - (9*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^4)/a^12 + (16*z^4)/a^10 - (12*z^4)/a^8 + 
   (10*z^4)/a^6 + (5*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 16111] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + 
   (2*z^4)/a^10 + z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 16112] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 3*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 16113] -> 
  2*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 
   16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16114] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 16115] -> 
  -6 + a^(-4) + 2/a^2 + 4*a^2 - 23*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (25*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16116] -> a^6 + a^8 + 2*a^10 - 4*a^12 + a^14 + 
   9*a^6*z^2 - 5*a^8*z^2 + 14*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 10*a^6*z^4 - 
   11*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 8*a^8*z^6 + 
   5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 16117] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + (7*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   9*z^4 + z^4/a^4 + z^4/a^2 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 16118] -> a^6 + a^8 + 2*a^10 - 4*a^12 + a^14 + 
   2*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 8*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 6*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 16119] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 10*z^2 - 
   z^2/a^4 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16120] -> 2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - z^4 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 16121] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 16122] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16123] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 16124] -> 
  4 - 2/a^2 - a^4 + 8*z^2 - (2*z^2)/a^4 - z^2/a^2 - 2*a^4*z^2 + 7*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 16125] -> 3*a^4 - 2*a^6 - (2*z^2)/a^2 + 4*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 16126] -> 
  4 + 3/a^4 - 6/a^2 + 5*z^2 + z^2/a^8 + (2*z^2)/a^4 - (11*z^2)/a^2 + z^4 - 
   z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 16127] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (6*z^4)/a^4 + z^6/a^4, Knot[14, NonAlternating, 16128] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 16129] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   a^6*z^2 + 3*z^4 + z^4/a^2 + 4*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 16130] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   6*z^2 - z^2/a^6 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 16131] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 
   2*z^2 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16132] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 16133] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   5*z^2 + (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16134] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 14*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 16135] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 16136] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + 
   a^(-6) - (4*z^2)/a^12 + (6*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 + z^4/a^8 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 16137] -> 3*a^4 - 2*a^6 - z^2/a^4 + z^2/a^2 + 
   5*a^4*z^2 - 2*a^6*z^2 + (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16138] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 16139] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   5*z^2 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^2 - 
   a^2*z^4, Knot[14, NonAlternating, 16140] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2 + z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - z^4 - 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, Knot[14, NonAlternating, 16141] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 16142] -> 
  2 - a^(-4) + a^(-2) - a^2 + 7*z^2 + z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16143] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 14*z^2 - (2*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   9*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16144] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 16145] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 + 
   4*z^2 - (5*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 8*z^4 - (4*z^4)/a^2 + 
   14*a^2*z^4 - 5*a^4*z^4 + 5*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 16146] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 
   7*z^2 - (2*z^2)/a^4 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 16147] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (18*z^2)/a^14 + (3*z^2)/a^12 + (25*z^2)/a^10 + z^4/a^16 - 
   (20*z^4)/a^14 + (20*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + 
   (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 16148] -> 
  -a^(-4) + 2/a^2 - 8*z^2 + z^2/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 
   15*z^4 + z^4/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 16149] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 - z^2/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 16150] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^4)/a^10 - (17*z^4)/a^8 + (28*z^4)/a^6 - (9*z^4)/a^4 - 
   (8*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 16151] -> 
  4 - 2/a^2 - a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16152] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   9*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16153] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 18*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 16154] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   3*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 16155] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 16156] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 8*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 10*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 14*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 16157] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 16158] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 5*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 16159] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16160] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   11*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16161] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16162] -> a^(-2) - a^4 + a^6 + z^2 - z^2/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 16163] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16164] -> a^2 + a^4 - 2*a^8 + a^10 + 3*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   9*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 16165] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 
   2*a^12 + 5*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   2*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 16166] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 - 
   a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + a^6*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 16167] -> 
  2*a^4 - a^6 + a^10 - a^12 + 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 
   3*a^10*z^2 - a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 16168] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 16169] -> 
  2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 
   12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16170] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 16171] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 16172] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 
   2*a^4 - 6*z^2 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16173] -> a^6 + a^8 + 2*a^10 - 4*a^12 + a^14 + 
   7*a^6*z^2 - a^8*z^2 + 12*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 9*a^6*z^4 - 
   7*a^8*z^4 + 15*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 7*a^8*z^6 + 
   5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 16174] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 - (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 3*z^4 + 3*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 16175] -> 
  3 - 4*a^2 + 2*a^4 + 2*z^2 - 6*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   z^4 - 3*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16176] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 16177] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 16*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16178] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16179] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 16180] -> 7 - 4/a^2 - 2*a^4 + 17*z^2 - 
   (8*z^2)/a^2 - 3*a^4*z^2 + 17*z^4 - (5*z^4)/a^2 - a^4*z^4 + 7*z^6 - 
   z^6/a^2 + z^8, Knot[14, NonAlternating, 16181] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 
   3*z^4 - 4*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 16182] -> 
  -3/a^6 + 5/a^4 - a^(-2) + (2*z^2)/a^8 - (7*z^2)/a^6 + (11*z^2)/a^4 - 
   (2*z^2)/a^2 + (3*z^4)/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 
   z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 16183] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 16184] -> 
  6 - 3/a^2 - 2*a^2 + a^4 - a^6 + 10*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 16185] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16186] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^10 + z^4/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16187] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   4*z^2 - z^2/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + z^2/a^2 + 4*z^4 + 
   (9*z^4)/a^6 - (21*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (11*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 16188] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + z^6/a^4, 
 Knot[14, NonAlternating, 16189] -> -a^(-6) + 2/a^4 - a^2 + a^4 + z^2/a^4 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16190] -> 4*a^4 - 3*a^6 - 2*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 3*a^6*z^4 - 
   3*a^8*z^4, Knot[14, NonAlternating, 16191] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 + 2*a^4*z^2 + 2*a^6*z^2 + 8*a^8*z^2 - 
   5*a^10*z^2 + a^2*z^4 + a^4*z^4 - a^6*z^4 + 6*a^8*z^4 - a^4*z^6 - 
   2*a^6*z^6, Knot[14, NonAlternating, 16192] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16193] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16194] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16195] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 
   10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16196] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16197] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16198] -> 4*a^8 - 2*a^10 - a^12 + 3*a^6*z^2 + 
   12*a^8*z^2 - 3*a^10*z^2 - a^14*z^2 + 4*a^6*z^4 + 10*a^8*z^4 + a^12*z^4 + 
   a^6*z^6 + 2*a^8*z^6, Knot[14, NonAlternating, 16199] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 16200] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16201] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   3*z^4 + (2*z^4)/a^4 - z^4/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 16202] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 16203] -> 1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 - 
   2*z^2 + z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 16204] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 
   2*a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 + z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16205] -> -1 + a^(-2) + a^2 + z^2/a^4 - z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 - a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 16206] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 
   2*a^8 - a^10 + 4*z^2 - 10*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 
   z^4 - 10*a^2*z^4 + 10*a^4*z^4 - 7*a^6*z^4 - 2*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 16207] -> 
  2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16208] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 16209] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (16*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 16210] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - z^2/a^4 + z^2/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16211] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   z^2/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 16212] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 
   19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16213] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 16214] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   3*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 16215] -> 
  -4/a^8 + 6/a^6 - a^(-4) - z^2/a^10 - (7*z^2)/a^8 + (20*z^2)/a^6 - 
   (5*z^2)/a^4 - (8*z^4)/a^8 + (27*z^4)/a^6 - (8*z^4)/a^4 - (5*z^6)/a^8 + 
   (19*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 16216] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 16217] -> -a^(-10) + 2/a^8 - 3/a^4 + 
   3/a^2 + (4*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 16218] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 
   3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   3*z^4 + (4*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16219] -> -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - 
   a^(-2) - z^2/a^10 + z^2/a^8 + (9*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16220] -> a^(-16) - 2/a^14 - a^(-12) + 2/a^10 - 
   a^(-8) + 2/a^6 - (3*z^2)/a^14 - (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (9*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 16221] -> -a^(-12) + 3/a^10 - 3/a^8 - 
   a^(-6) + 3/a^4 + (7*z^2)/a^10 - (8*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^10 - (9*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 16222] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 - z^2/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 16223] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   8*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16224] -> -3 + 8*a^2 - 4*a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 22*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 25*a^2*z^4 - 5*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16225] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16226] -> 4 - 2/a^2 - a^4 + 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + z^4 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16227] -> 
  3*a^4 - 4*a^6 + 3*a^8 - a^12 + 2*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 
   5*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 
   a^4*z^6 - 2*a^6*z^6, Knot[14, NonAlternating, 16228] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 
   4*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 16229] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (3*z^2)/a^16 - (23*z^2)/a^14 + (15*z^2)/a^12 + (20*z^2)/a^10 + z^4/a^16 - 
   (24*z^4)/a^14 + (33*z^4)/a^12 + (37*z^4)/a^10 - (9*z^6)/a^14 + 
   (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 16230] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) + z^2/a^16 - (10*z^2)/a^14 + 
   z^2/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 - (7*z^4)/a^14 + (8*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 16231] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + 
   a^(-8) + z^2/a^16 - (13*z^2)/a^14 + (7*z^2)/a^12 + (13*z^2)/a^10 + 
   (6*z^2)/a^8 - (7*z^4)/a^14 + (11*z^4)/a^12 + (22*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 16232] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16233] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (5*z^2)/a^14 + (8*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 + (3*z^4)/a^12 + (11*z^4)/a^10 + 
   (11*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 16234] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 16235] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   z^2/a^14 - (3*z^2)/a^12 - (2*z^2)/a^10 + (16*z^2)/a^8 - z^4/a^14 + 
   z^4/a^12 + z^4/a^10 + (19*z^4)/a^8 + z^6/a^12 + z^6/a^10 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[14, NonAlternating, 16236] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 + 
   z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 16237] -> -3/a^10 + 3/a^8 + a^(-6) - 
   z^2/a^14 - (2*z^2)/a^10 + (7*z^2)/a^8 + (5*z^2)/a^6 + z^4/a^12 + 
   z^4/a^10 + (6*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 16238] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 
   2*z^2 - z^2/a^4 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 16239] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 16240] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + 
   4*a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 16241] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 16242] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 
   z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 16243] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   z^6/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 16244] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 + 2*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   a^2*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16245] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 16246] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 2*z^2 - a^4*z^2 - 2*a^6*z^2 + 
   4*a^8*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 16247] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16248] -> a^4 + 2*a^6 - 2*a^8 + 3*a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 16249] -> a^2 + a^4 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 16250] -> 
  a^(-2) - a^4 + a^6 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 16251] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   2*z^2 + 8*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   8*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 16252] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 16253] -> 3 - a^(-2) - a^2 + 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 16254] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16255] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16256] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16257] -> 
  3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   3*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16258] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   6*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16259] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 3*a^4*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + a^4*z^4 + 
   5*a^8*z^4 - a^10*z^4 + a^8*z^6, Knot[14, NonAlternating, 16260] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 16261] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4/a^4 + z^4/a^2, Knot[14, NonAlternating, 16262] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 16263] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 16264] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^4 + (3*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 16265] -> 2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16266] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 16267] -> 2/a^16 - 6/a^14 + 3/a^12 + 
   2/a^8 + z^2/a^16 - (12*z^2)/a^14 + (7*z^2)/a^12 + (9*z^2)/a^10 + 
   (8*z^2)/a^8 - (7*z^4)/a^14 + (10*z^4)/a^12 + (20*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 16268] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 16269] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 16270] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 16271] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 
   3*a^2 + 2*a^4 + 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 
   3*a^4*z^2 + 6*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16272] -> -1 + a^(-6) - a^(-2) + 2*a^2 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 16273] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + 
   4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 16274] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 16275] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 16276] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (7*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16277] -> 1 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 16278] -> 
  4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 6*z^2 - (3*z^2)/a^2 - a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 16279] -> 
  1 - a^(-4) + a^(-2) + a^4 - a^6 + 2*z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 16280] -> 2/a^16 - 6/a^14 + 4/a^12 - 2/a^10 + 
   3/a^8 + z^2/a^16 - (13*z^2)/a^14 + (12*z^2)/a^12 + z^2/a^10 + 
   (11*z^2)/a^8 - (7*z^4)/a^14 + (15*z^4)/a^12 + (9*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 16281] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 16282] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 12*z^2 + z^2/a^4 + 15*a^2*z^2 - 5*a^4*z^2 - 
   9*z^4 + 14*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16283] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - (29*z^2)/a^4 + (11*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (32*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 16284] -> 
  2 + a^(-8) - a^(-6) - a^(-2) - z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 - z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16285] -> 
  -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 11*z^2 - z^2/a^6 + z^2/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + z^4/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 16286] -> 
  3*a^8 + 2*a^10 - 6*a^12 + 2*a^14 + 4*a^6*z^2 + 5*a^8*z^2 + 11*a^10*z^2 - 
   11*a^12*z^2 + a^14*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 13*a^10*z^4 - 
   4*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 + 4*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 16287] -> 4*a^8 - 2*a^10 - a^12 + 16*a^8*z^2 - 
   3*a^10*z^2 - 2*a^14*z^2 + 19*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + 
   8*a^8*z^6 + a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 16288] -> 1 - a^(-6) + 2/a^2 - a^2 + 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 16289] -> -a^(-6) + a^(-4) + a^(-2) - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 + 
   3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 16290] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 16291] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 16292] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16293] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 
   11*z^4 + (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16294] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + (4*z^2)/a^16 - (12*z^2)/a^14 - 
   (13*z^2)/a^12 + (32*z^2)/a^10 + (2*z^4)/a^16 - (20*z^4)/a^14 + 
   (8*z^4)/a^12 + (44*z^4)/a^10 - (9*z^6)/a^14 + (18*z^6)/a^12 + 
   (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 16295] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 16296] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 - 2*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 
   a^4*z^4 - 3*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 16297] -> 
  a^4 + a^6 - a^10 + a^2*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 
   3*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 16298] -> a^(-4) - a^(-2) + a^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 16299] -> 2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16300] -> 3*a^2 - 3*a^4 + a^6 + 3*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16301] -> 4*a^6 - 3*a^8 - a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 11*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 16302] -> 
  a^2 + a^4 - a^6 - z^2 + 6*a^4*z^2 - 3*a^6*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 16303] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16304] -> 2*a^2 - a^4 + z^2 - a^4*z^2 + a^6*z^2 + 
   2*z^4 - 5*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 16305] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 16306] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   2*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 16307] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 16308] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (4*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 16309] -> -a^(-6) + a^(-4) + a^(-2) - 
   z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 16310] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16311] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^12 + 
   (6*z^2)/a^8 + (3*z^2)/a^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16312] -> a^(-14) - 5/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (4*z^2)/a^14 - (9*z^2)/a^12 + (17*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^4)/a^14 - (2*z^4)/a^12 + (27*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 16313] -> 
  1 - z^2 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16314] -> 
  1 - z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - z^4 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16315] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 16316] -> 1 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16317] -> 3*a^4 - 2*a^6 - 3*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 6*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 16318] -> 
  -3/a^10 + 3/a^8 + a^(-6) - z^2/a^12 - (5*z^2)/a^10 + (12*z^2)/a^8 + 
   (3*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + (13*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 16319] -> 4*a^6 - 3*a^8 + 6*a^6*z^2 + 4*a^8*z^2 - 
   4*a^10*z^2 + 2*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 + 6*a^8*z^6 - a^10*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 16320] -> a^(-6) - 3/a^4 + 3/a^2 + 
   3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 + z^4/a^6 - 
   (10*z^4)/a^2 + z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16321] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - z^6/a^6 + (6*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 16322] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 4*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 16323] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16324] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 16325] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 3*z^4 + 11*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16326] -> -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16327] -> a^2 + a^4 - a^6 - 7*z^2 + (4*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 12*z^4 + (5*z^4)/a^2 + 3*a^4*z^4 - 
   7*z^6 + z^6/a^2 - a^2*z^6 - z^8, Knot[14, NonAlternating, 16328] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16329] -> -a^(-8) + 2/a^4 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 16330] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 
   3*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 
   10*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16331] -> -1 - a^(-6) + 2/a^4 + a^2 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 16332] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 2*z^4 - 3*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 16333] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16334] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   z^2/a^8 - z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16335] -> -3 + 8*a^2 - 4*a^4 - 6*z^2 + 18*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 13*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16336] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 16337] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 4*z^2 - (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 4*z^4 - a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 16338] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16339] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 16340] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + 3*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 16341] -> 
  7 - 3/a^2 - 3*a^2 + 16*z^2 - z^2/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   6*a^2*z^2 + 13*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16342] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + a^2*z^2 + 7*a^4*z^2 - 11*a^6*z^2 + 
   9*a^8*z^2 - a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 16343] -> -2*a^2 + 7*a^4 - 4*a^6 + 2*z^2 - 
   8*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 2*z^4 - 9*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 + z^6 - 4*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 16344] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 - z^2/a^4 + z^4 - z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 16345] -> 2*a^2 - a^4 + z^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 16346] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16347] -> -1 - 3/a^6 + 6/a^4 - 2/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4, 
 Knot[14, NonAlternating, 16348] -> a^6 + 3*a^8 - 4*a^10 + 2*a^12 - a^14 + 
   4*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 
   9*a^8*z^4 - a^10*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 16349] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + 
   a^2 - 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 16350] -> 3 - 3/a^6 + 4/a^4 - a^(-2) - 
   2*a^2 + 4*z^2 - (7*z^2)/a^6 + (13*z^2)/a^4 - 3*a^2*z^2 + 3*z^4 - 
   (5*z^4)/a^6 + (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^6 + 
   (7*z^6)/a^4 + z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 16351] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 3*a^2*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16352] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 + 
   z^4/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 16353] -> -6 + 3/a^2 + 5*a^2 - a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16354] -> 2*a^2 - a^4 + z^2/a^2 - a^2*z^2 + 
   a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 16355] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 + z^4/a^12 - (2*z^4)/a^10 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 16356] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16357] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   12*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16358] -> 2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 - 
   a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + a^4*z^4 - 2*a^6*z^4 + 9*a^8*z^4 - 
   3*a^10*z^4 - a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 16359] -> -3/a^6 + 3/a^4 + 2/a^2 - a^2 - z^2 - 
   (7*z^2)/a^6 + (11*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16360] -> 
  -2 + a^(-4) + 2*a^2 - 9*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   10*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16361] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^4)/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 16362] -> -4 + 3/a^2 + a^2 + a^4 - 8*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 16363] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   (3*z^2)/a^12 + (7*z^2)/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^12 + 
   (14*z^4)/a^10 - (20*z^4)/a^8 + (15*z^4)/a^6 + (7*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 16364] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (10*z^2)/a^14 - (6*z^2)/a^12 + (29*z^2)/a^10 - (6*z^4)/a^14 - 
   (5*z^4)/a^12 + (51*z^4)/a^10 - z^6/a^14 - z^6/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 16365] -> 
  2*a^6 + a^8 - 2*a^10 - 4*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 
   10*a^4*z^4 + 30*a^6*z^4 - 10*a^8*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 
   6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 16366] -> -a^(-12) + 2/a^6 - z^2/a^12 + 
   (4*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - 
   (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16367] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (6*z^2)/a^12 + (15*z^2)/a^10 + (8*z^2)/a^8 - 
   z^4/a^14 - (2*z^4)/a^12 + (19*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 16368] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 
   3*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 16369] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16370] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   z^2/a^14 - (8*z^2)/a^12 + (10*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - 
   (3*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 16371] -> 
  4*a^6 - 3*a^8 - 2*a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 16372] -> 
  2 + a^(-8) - 2/a^4 + 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16373] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) + (3*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 16374] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - z^2/a^14 - (3*z^2)/a^12 + 
   (6*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 + (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 16375] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 2*a^2*z^2 + 
   a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 16376] -> 
  1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 16377] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (13*z^2)/a^14 + 
   (5*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 - (7*z^4)/a^14 + 
   (10*z^4)/a^12 + (26*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 16378] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - (5*z^2)/a^14 - z^2/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + (3*z^4)/a^12 + (12*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 16379] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (9*z^4)/a^10 - (14*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16380] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - 
   (3*z^2)/a^14 - (10*z^2)/a^12 + (21*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^14 - 
   (6*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 16381] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^2*z^2 + 17*a^6*z^2 - 7*a^8*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 19*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 16382] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 - 
   3*a^2*z^2 - a^4*z^2 + 24*a^6*z^2 - 14*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 12*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 16383] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 - 2*a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 - z^4 + 8*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 16384] -> 
  -3/a^8 + 4/a^6 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (20*z^4)/a^6 - (6*z^4)/a^4 - (6*z^6)/a^8 + 
   (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 16385] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16386] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 16387] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^4 + (5*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16388] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 16389] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - 4*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 5*a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 - 
   a^2*z^6 + 7*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 16390] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 4*z^2 - 9*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   4*z^4 - 11*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + z^6 - 6*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 16391] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + 
   a^2 - 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 16392] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16393] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 16394] -> 
  -3 + a^(-4) - a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 + 16*a^2*z^2 - 6*a^4*z^2 - 
   7*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 16395] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 16396] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   9*z^2 - (6*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 16397] -> 5 - a^(-4) - a^(-2) - a^2 - 
   a^4 + 9*z^2 - (2*z^2)/a^4 - 2*a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 16398] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 2*a^2*z^2 + 
   5*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 16399] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (14*z^2)/a^10 - (23*z^2)/a^8 + (10*z^2)/a^6 + 
   (4*z^2)/a^4 + (11*z^4)/a^10 - (24*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16400] -> 2 - a^2 - 3*a^4 + 5*a^6 - 
   2*a^8 + 2*z^2 + z^2/a^2 - 3*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 16401] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16402] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 16403] -> -3 - a^(-6) + 4/a^2 + a^2 - 
   5*z^2 - z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 16404] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 6*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16405] -> 1 - 3/a^6 + 5/a^4 - 2/a^2 + a^2 - a^4 + 
   2*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 + z^4/a^2 + a^2*z^4 + z^6/a^4, 
 Knot[14, NonAlternating, 16406] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16407] -> 
  5 - 3/a^2 - a^6 + 10*z^2 - (5*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + 7*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4 + z^6, Knot[14, NonAlternating, 16408] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 16409] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 + z^4/a^10 + (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 16410] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16411] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 16412] -> 
  -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 16413] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 16414] -> a^(-10) - 5/a^8 + 4/a^6 + 
   2/a^4 - a^(-2) + (2*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - (10*z^4)/a^8 + (19*z^4)/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^8 + (11*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 16415] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (3*z^2)/a^14 - (9*z^2)/a^12 + 
   (17*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - (6*z^4)/a^12 + (26*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 16416] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 16417] -> a^4 + a^6 - a^10 - a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 - 2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 16418] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 2*z^4 + a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 16419] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 4*a^2*z^2 + 
   10*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 2*a^2*z^4 + 8*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 16420] -> 
  -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 + (6*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^4)/a^12 - (7*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 16421] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 16422] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16423] -> 3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 5*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16424] -> -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + 
   6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 16425] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - z^2/a^10 - (3*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 16426] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 + z^4/a^6 - (2*z^4)/a^2 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 16427] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16428] -> -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 16429] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (13*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 16430] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (6*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 16431] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 16432] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 + z^2/a^14 - (7*z^2)/a^12 + 
   (9*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^4)/a^12 + (9*z^4)/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 16433] -> 3 - a^(-2) - 2*a^4 + a^6 - 
   4*z^2 + z^2/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 16434] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 16435] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 16436] -> -2 + 2/a^2 + a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 11*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16437] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 16438] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16439] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 16440] -> -1 + a^(-2) + a^2 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16441] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 
   3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4/a^2, 
 Knot[14, NonAlternating, 16442] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + 2*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 16443] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - (29*z^4)/a^4 + 
   (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 16444] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + 3*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 16445] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 + 
   (4*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16446] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^8 + z^2/a^4 - (7*z^2)/a^2 + 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 16447] -> 
  2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + z^2/a^16 - (13*z^2)/a^14 + 
   (8*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 - (7*z^4)/a^14 + 
   (11*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 16448] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16449] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16450] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16451] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 16452] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + 
   (9*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 16453] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - 
   (5*z^2)/a^14 - z^2/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^14 + (3*z^4)/a^12 + (13*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 16454] -> a^(-14) - 5/a^12 + 5/a^10 - 2/a^8 + 
   2/a^6 - (6*z^2)/a^12 + (15*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16455] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 
   2/a^2 + 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16456] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 5*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16457] -> -2*a^4 + 8*a^6 - 5*a^8 - 4*a^2*z^2 + 
   a^4*z^2 + 22*a^6*z^2 - 11*a^8*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 23*a^6*z^4 - 
   8*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 16458] -> 
  a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (17*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 16459] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 16460] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 16461] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 2*z^2 + 
   6*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 - z^4 + 2*a^2*z^4 + 6*a^4*z^4 + 
   7*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 16462] -> 2*a^4 - a^6 + a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 16463] -> 
  1 - a^2 + 2*a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 16464] -> 
  a^4 + a^6 - a^10 + a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 
   4*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 16465] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16466] -> a^(-10) - 5/a^8 + 5/a^6 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 16467] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16468] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - 
   (21*z^4)/a^8 + (15*z^4)/a^6 + (7*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 16469] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - 
   (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16470] -> -1 + a^(-4) + a^4 + z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16471] -> 1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16472] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 16473] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16474] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 
   16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16475] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16476] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 7*a^2*z^2 - 14*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   12*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 16477] -> 
  -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + 6*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 16478] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16479] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 - 
   a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 16480] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16481] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16482] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16483] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   2*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 16484] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 21*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16485] -> 2 - a^2 - a^4 + 2*a^8 - a^10 + 3*z^2 - 
   4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 4*a^2*z^4 - a^4*z^4 - 
   4*a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 16486] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 16487] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   5*a^4*z^2 + a^6*z^2 - 8*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 16488] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 + z^4 + z^4/a^8 - (10*z^4)/a^4 - z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 16489] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 16490] -> 
  a^(-2) + a^2 - 2*a^4 + a^8 - 5*z^2 + z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 16491] -> a^2 + a^4 - a^6 + z^2 + a^4*z^2 - 
   a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16492] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^4 - 
   z^2/a^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - (3*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16493] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (9*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16494] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - 
   (5*z^4)/a^8 + (20*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 16495] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - z^4/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 
   a^4*z^4 - 23*z^6 + (7*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 16496] -> 5 - 3/a^2 + a^2 - 2*a^4 + 6*z^2 - 
   (4*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16497] -> 3 - a^(-4) - a^4 + 8*z^2 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 16498] -> -1 + a^(-2) + a^2 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4/a^4 - a^2*z^4 + 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 16499] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16500] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 16501] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 16502] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 16503] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[14, NonAlternating, 16504] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16505] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16506] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 16507] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 16508] -> 
  a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 - (3*z^2)/a^14 - (2*z^2)/a^12 + 
   (3*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (8*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 16509] -> 
  -1 - 3/a^6 + 5/a^4 - a^(-2) + 2*a^2 - a^4 - 3*z^2 - (4*z^2)/a^6 + 
   (9*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^4, 
 Knot[14, NonAlternating, 16510] -> 1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + 
   a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 16511] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16512] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16513] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 16514] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16515] -> 
  1 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^4 + z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 16516] -> 2*a^2 - a^4 - 3*a^6 + 6*a^8 - 3*a^10 + 
   2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 - a^4*z^4 - 
   2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + a^8*z^6, 
 Knot[14, NonAlternating, 16517] -> 4 - a^(-8) + 2/a^6 + 2/a^4 - 6/a^2 + 
   6*z^2 + z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (11*z^2)/a^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16518] -> -3/a^6 + 6/a^4 - 3/a^2 + 2*a^2 - a^4 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 + a^2*z^4 + z^6/a^4, 
 Knot[14, NonAlternating, 16519] -> 1 - a^4 + 3*a^8 - 2*a^10 + z^2 - 
   a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   a^8*z^4, Knot[14, NonAlternating, 16520] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 
   2*a^2 + a^4 + 6*z^2 + z^2/a^6 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 - (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16521] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 16522] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 16523] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16524] -> 1 + 2*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 16525] -> -2 + 2/a^2 + a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 16526] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 17*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 
   6*a^2*z^2 - 29*z^4 - z^4/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - 23*z^6 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 16527] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   8*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16528] -> 
  1 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - 6*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16529] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16530] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16531] -> 2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 + 
   z^2/a^16 - (14*z^2)/a^14 + (11*z^2)/a^12 + (13*z^2)/a^10 + (6*z^2)/a^8 - 
   (7*z^4)/a^14 + (12*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 16532] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 
   8*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 + z^6/a^4 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 16533] -> 
  5 + 4/a^4 - 8/a^2 + 7*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (17*z^2)/a^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (3*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16534] -> a^(-16) - 4/a^14 + 4/a^10 - 
   (5*z^2)/a^14 + z^2/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + (3*z^4)/a^12 + (11*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 16535] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16536] -> 3/a^4 - 4/a^2 + 2*a^2 - 3*z^2 + z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 16537] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 16538] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16539] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2, Knot[14, NonAlternating, 16540] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 + 2*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16541] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16542] -> 
  -1 + 3*a^2 - a^6 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 16543] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 + (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 
   z^6 + a^4*z^6, Knot[14, NonAlternating, 16544] -> 
  1 - a^2 + a^4 + a^8 - a^10 + 3*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 + z^4 - 7*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 
   2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 16545] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16546] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + 7*z^2 + 
   z^2/a^6 - (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16547] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16548] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 16549] -> 
  2*a^4 - a^8 + 2*z^2 - 4*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   5*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16550] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (15*z^4)/a^6 - (30*z^4)/a^4 + (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 16551] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 16552] -> 
  2*a^2 - a^4 - (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 16553] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 16554] -> 
  a^2 + a^6 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 16555] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^4)/a^10 - (14*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16556] -> a^(-10) - 5/a^8 + 7/a^6 - 
   4/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 16557] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 16558] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   z^2 + z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 - 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, Knot[14, NonAlternating, 16559] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (21*z^4)/a^8 + (15*z^4)/a^6 + 
   (7*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 16560] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16561] -> 1 - 3*a^2 + 4*a^4 + a^6 - 
   2*a^8 + z^2 - 5*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16562] -> 2*a^4 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 16563] -> -2 + 5*a^2 - a^4 - a^6 - 4*z^2 + 
   10*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 - a^6*z^4 + 
   z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 16564] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16565] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 16566] -> 2/a^10 - 7/a^8 + 6/a^6 - (2*z^2)/a^12 + 
   (11*z^2)/a^10 - (22*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + (15*z^4)/a^10 - 
   (31*z^4)/a^8 + (17*z^4)/a^6 + (7*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 16567] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16568] -> -3 - 4/a^4 + 8/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 - 12*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 16569] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 16570] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   7*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 16571] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (12*z^2)/a^10 - 
   (19*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 + (9*z^4)/a^10 - (21*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 16572] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (13*z^2)/a^10 - 
   (24*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 + (10*z^4)/a^10 - (25*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 16573] -> 
  a^(-10) - 2/a^8 + 5/a^6 - 9/a^4 + 6/a^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (21*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (31*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (7*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 16574] -> a^6 + 5*a^10 - 7*a^12 + 2*a^14 + 
   6*a^6*z^2 - a^8*z^2 + 16*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 7*a^6*z^4 - 
   2*a^8*z^4 + 15*a^10*z^4 - 4*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 + 
   4*a^10*z^6 - a^8*z^8, Knot[14, NonAlternating, 16575] -> 
  2 + a^(-10) - 2/a^8 + 4/a^6 - 5/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16576] -> a^6 + 2*a^8 - 3*a^12 + a^14 + 2*a^4*z^2 + 
   2*a^6*z^2 + 6*a^8*z^2 + 3*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + a^6*z^4 + 
   3*a^8*z^4 + 4*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 16577] -> 6 - 4/a^2 + 2*a^2 - 3*a^4 + 16*z^2 - 
   (9*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 19*z^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16578] -> 3 - a^(-4) - a^2 + a^4 - a^6 + z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   (4*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16579] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 16580] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 
   12*z^2 - (11*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 - (13*z^4)/a^4 + 
   (38*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 16581] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 
   3*z^4 - 4*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 16582] -> 
  2 - a^2 - a^4 + a^6 + z^2 + z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 16583] -> 
  -a^4 + 6*a^6 - 4*a^8 - 3*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 - 
   3*a^4*z^4 + 12*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 16584] -> -2 + a^(-4) + 2*a^2 - 4*z^2 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^4 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16585] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   z^2/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^4 - 
   (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16586] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^10 + (9*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 - z^6/a^10 + (5*z^6)/a^8 - z^6/a^6 + z^8/a^8, 
 Knot[14, NonAlternating, 16587] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 + (2*z^4)/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 16588] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 3*a^4*z^2 - 4*a^6*z^2 + 14*a^8*z^2 - 
   6*a^10*z^2 + a^4*z^4 - 3*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 16589] -> 
  -a^(-8) + 2/a^4 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16590] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 16591] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 5*z^2 - (3*z^2)/a^2 + 24*a^2*z^2 - 12*a^4*z^2 - 
   8*z^4 - z^4/a^2 + 37*a^2*z^4 - 13*a^4*z^4 - 5*z^6 + 25*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 16592] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 16593] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 
   a^2*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 16594] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 6*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   3*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 16595] -> 3*a^4 - 2*a^6 + a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16596] -> 1 - 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (18*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 16597] -> -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16598] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 4*z^2 + 
   (6*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16599] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 16600] -> 
  a^6 + 3*a^8 - 3*a^10 - 2*a^6*z^2 + 23*a^8*z^2 - 12*a^10*z^2 - 7*a^6*z^4 + 
   37*a^8*z^4 - 13*a^10*z^4 - 5*a^6*z^6 + 25*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 
   8*a^8*z^8 - a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 16601] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 4*z^2 + (13*z^2)/a^4 - (24*z^2)/a^2 + 4*a^2*z^2 + 
   4*z^4 + (16*z^4)/a^4 - (41*z^4)/a^2 + 4*a^2*z^4 + z^6 + (7*z^6)/a^4 - 
   (29*z^6)/a^2 + a^2*z^6 + z^8/a^4 - (9*z^8)/a^2 - z^10/a^2, 
 Knot[14, NonAlternating, 16602] -> -2/a^6 + 3/a^4 - (9*z^2)/a^6 + 
   (20*z^2)/a^4 - (8*z^2)/a^2 - (12*z^4)/a^6 + (33*z^4)/a^4 - (12*z^4)/a^2 - 
   (6*z^6)/a^6 + (24*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - 
   z^8/a^2 + z^10/a^4, Knot[14, NonAlternating, 16603] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - 3*a^4*z^2 + 12*a^6*z^2 + 4*a^8*z^2 - 
   5*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 9*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 16604] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 12*z^2 + 
   (6*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 14*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 - 7*z^6 + z^6/a^4 - (6*z^6)/a^2 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 16605] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16606] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 
   3*a^4*z^2 - 6*a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + a^4*z^4 - 4*a^6*z^4 + 
   18*a^8*z^4 - 5*a^10*z^4 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 16607] -> a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 
   4*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 16608] -> 
  a^2 - 2*a^4 + 3*a^6 + 2*a^8 - 4*a^10 + a^12 + 6*a^2*z^2 - 11*a^4*z^2 + 
   9*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 
   4*a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16609] -> 3 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 - 
   2/a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 16610] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16611] -> 3*a^4 - 2*a^6 - 3*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 + z^4 - 5*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 + z^6 - 
   3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 16612] -> 
  1 + a^(-6) - a^(-2) - 2*a^2 + 2*a^4 + 7*z^2 + z^2/a^6 - z^2/a^4 - 
   (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16613] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - 
   (18*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 16614] -> -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + (8*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 16615] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16616] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 6*z^2 + (6*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - 
   11*z^4 + (2*z^4)/a^6 - (21*z^4)/a^4 + (30*z^4)/a^2 - 6*z^6 - (8*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16617] -> 1 - 2*a^2 + 6*a^6 - 4*a^8 + 3*z^2 - 
   6*a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 + z^4 - 5*a^2*z^4 + 
   6*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16618] -> 1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + 
   z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 - 2*a^2*z^4 + 
   a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 16619] -> 
  -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 19*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16620] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 3*a^4*z^2 + 
   12*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 9*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 16621] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 + (2*z^4)/a^12 - (3*z^4)/a^10 + 
   z^4/a^8 + (7*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 16622] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 16623] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16624] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, Knot[14, NonAlternating, 16625] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 + (7*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 16626] -> 
  3*a^8 - 2*a^12 + 15*a^8*z^2 - a^12*z^2 - 2*a^14*z^2 + 19*a^8*z^4 + 
   2*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + a^10*z^6 + a^12*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 16627] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) + 3*z^2 + (5*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16628] -> 
  4*a^8 - 2*a^10 - a^12 + 4*a^6*z^2 + 9*a^8*z^2 - a^12*z^2 - a^14*z^2 + 
   5*a^6*z^4 + 7*a^8*z^4 + 2*a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 16629] -> 2 + a^(-8) - a^(-6) - a^(-2) + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16630] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   4*a^4*z^2 + 5*a^6*z^2 - 13*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 5*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 16631] -> -6 + 2/a^2 + 7*a^2 - a^4 - a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 12*a^2*z^2 - a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 + 
   a^4*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16632] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16633] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 9*a^2*z^2 - 17*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 22*a^4*z^4 + 6*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 16634] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 16635] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16636] -> 4 - 2/a^2 - a^4 + 6*z^2 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 16637] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 
   a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16638] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   4*z^2 + (2*z^2)/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 16639] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 16640] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16641] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 16642] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 16643] -> 1 - a^(-6) + 2/a^2 - a^2 + 
   z^2 - (2*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16644] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16645] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 
   2/a^6 + a^(-4) - (5*z^2)/a^12 + (10*z^2)/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (3*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 16646] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   6*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 16647] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   4*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 16648] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 7*z^4 + z^4/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16649] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2, Knot[14, NonAlternating, 16650] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 16651] -> 
  4 - 2/a^2 - a^4 + 10*z^2 - z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   9*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 16652] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 16653] -> 
  a^6 + 3*a^8 - 3*a^10 - 2*a^4*z^2 + 8*a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 - 
   3*a^4*z^4 + 10*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 16654] -> 4 - 6*a^2 + 3*a^4 + 3*z^2 + z^2/a^2 - 
   12*a^2*z^2 + 5*a^4*z^2 - z^4 + z^4/a^2 - 8*a^2*z^4 + 2*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 16655] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16656] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - a^2*z^2 + 
   a^4*z^2 + 10*a^6*z^2 - 2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 16657] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 
   2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 16658] -> 2*a^4 - a^8 + z^2 - a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 16659] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 5*a^4*z^2 + 19*a^6*z^2 - 6*a^8*z^2 - 
   2*a^10*z^2 - 6*a^4*z^4 + 20*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 
   10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 16660] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   9*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 - 
   a^4*z^6 - z^8, Knot[14, NonAlternating, 16661] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (19*z^2)/a^6 - (5*z^2)/a^4 - (3*z^4)/a^10 + z^4/a^8 + (20*z^4)/a^6 - 
   (6*z^4)/a^4 - z^6/a^10 + (3*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + 
   z^8/a^8 + (2*z^8)/a^6, Knot[14, NonAlternating, 16662] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 16663] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (16*z^2)/a^8 + (21*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + (31*z^4)/a^6 - (10*z^4)/a^4 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 16664] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - (5*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 16665] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   (10*z^4)/a^8 + (20*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (11*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16666] -> a^(-8) + a^(-6) - 6/a^4 + 5/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 16667] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 16668] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16669] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16670] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 
   2*a^4 - 5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16671] -> -a^4 + 6*a^6 - 4*a^8 - 4*a^4*z^2 + 
   15*a^6*z^2 - 4*a^10*z^2 - 4*a^4*z^4 + 14*a^6*z^4 + 7*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 16672] -> -2/a^12 + 3/a^10 - 3/a^8 + 
   3/a^6 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^4)/a^12 - z^4/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 16673] -> a^4 + a^6 - a^10 - a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 16674] -> -a^(-12) + a^(-8) + a^(-4) + z^2/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 16675] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   7*z^2 - z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 16676] -> a^2 + a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 
   10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 16677] -> -a^(-12) + 5/a^10 - 8/a^8 + 
   3/a^6 + 2/a^4 - z^2/a^12 + (12*z^2)/a^10 - (21*z^2)/a^8 + (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (9*z^4)/a^10 - (22*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16678] -> -2/a^8 + 7/a^6 - 9/a^4 + 
   5/a^2 - (2*z^2)/a^8 + (17*z^2)/a^6 - (27*z^2)/a^4 + (12*z^2)/a^2 - 
   z^4/a^8 + (16*z^4)/a^6 - (36*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 16679] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (12*z^2)/a^14 + (5*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 - (7*z^4)/a^14 + (10*z^4)/a^12 + (21*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 16680] -> 
  -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - a^(-2) + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (12*z^2)/a^4 - (3*z^2)/a^2 - (5*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16681] -> 4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16682] -> a^(-16) - 2/a^14 - 2/a^12 + 3/a^10 + 
   a^(-6) - (5*z^2)/a^14 - (2*z^2)/a^12 + (12*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (13*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 16683] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16684] -> a^(-10) - 3/a^8 + 7/a^6 - 10/a^4 + 
   6/a^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (20*z^2)/a^4 + 
   (7*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 16685] -> -5 + a^(-2) + 11*a^2 - 8*a^4 + 2*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16686] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 16687] -> 
  -1 + 6*a^4 - 4*a^6 - 3*z^2 + a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 3*a^2*z^4 + 12*a^4*z^4 - a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 
   4*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 16688] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 16689] -> 
  -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - z^4 + 2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 16690] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (6*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 16691] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 - 2*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + a^8*z^6, Knot[14, NonAlternating, 16692] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 16693] -> 1 - 4*a^2 + 7*a^4 - 2*a^6 - 
   a^8 + z^2 - 7*a^2*z^2 + 13*a^4*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16694] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16695] -> 4 - 2/a^2 - a^4 + 5*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 5*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16696] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16697] -> -2 + a^(-2) + 2*a^2 + 2*a^4 - 3*a^6 + 
   a^8 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 + a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 16698] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + 
   a^4 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16699] -> 2 + a^(-4) - 2/a^2 - z^2 - z^2/a^4 + 
   z^2/a^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16700] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 
   z^4/a^8 + (4*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 16701] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16702] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 16703] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 4*z^2 + (6*z^2)/a^6 - (18*z^2)/a^4 + 
   (17*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + 
   (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 16704] -> -1 + a^(-4) - a^2 + 3*a^4 - a^6 - 4*z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 16705] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 16706] -> 3 + a^(-6) - 2/a^4 - a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16707] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16708] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 16709] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 16710] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16711] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   3*z^2 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 16712] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 16713] -> 
  2*a^6 + a^8 - 2*a^10 + 5*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 - 2*a^4*z^4 + 
   6*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 16714] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 4*a^2*z^2 + 6*a^4*z^2 + 12*a^6*z^2 - 
   7*a^8*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 13*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 
   5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 16715] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 
   2*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16716] -> 1 - 4*a^2 + 6*a^4 - 2*a^8 + z^2 - 
   7*a^2*z^2 + 12*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16717] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 
   7*a^4*z^2 - a^8*z^2 + a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 16718] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - z^4 + 9*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 16719] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 
   17*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 16720] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + (6*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16721] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (9*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 16722] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16723] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 16724] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 16725] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 
   2*a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 16726] -> -a^(-12) + 2/a^10 - a^(-8) - 
   2/a^6 + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 + (4*z^4)/a^10 - (7*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 16727] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 5*z^4 + 18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 16728] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16729] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 16730] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 16731] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + a^2*z^2 + 7*a^4*z^2 - 12*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 16732] -> a^(-6) - 3/a^4 + 3/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 - 11*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 16733] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 16734] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 3*a^6*z^2 + 
   11*a^8*z^2 - 6*a^10*z^2 - 2*a^4*z^4 + 6*a^6*z^4 + 11*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 16735] -> -2/a^10 + 2/a^8 + a^(-4) - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - 
   z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 16736] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 16737] -> a^(-8) - 4/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16738] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (6*z^4)/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16739] -> 3 - a^(-2) - a^2 + 9*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16740] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + 2*a^2*z^2 - 
   3*z^4 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16741] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 
   6*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + 8*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16742] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 - (6*z^6)/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 16743] -> -2 + 6*a^2 - 3*a^4 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16744] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^10 - (15*z^4)/a^8 + 
   (32*z^4)/a^6 - (10*z^4)/a^4 - (7*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 16745] -> -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 16746] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   2*z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16747] -> -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 16748] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 16749] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) + (6*z^2)/a^10 - 
   (9*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16750] -> 4*a^8 - a^10 - 3*a^12 + a^14 + 
   14*a^8*z^2 + 2*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 18*a^8*z^4 + 
   5*a^10*z^4 - a^14*z^4 + 8*a^8*z^6 + 2*a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 16751] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16752] -> 
  a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + 2*a^2*z^2 - 7*a^4*z^2 + 18*a^6*z^2 - 
   9*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16753] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   4*a^2*z^2 - 12*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 21*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 16754] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 7*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 16755] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 - (12*z^2)/a^12 + (12*z^2)/a^10 + 
   (10*z^2)/a^8 - z^4/a^14 - (7*z^4)/a^12 + (21*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 16756] -> -4/a^8 + 6/a^6 - a^(-4) - z^2/a^10 - 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (13*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^8 + z^8/a^6, Knot[14, NonAlternating, 16757] -> 
  -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - a^(-2) - z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 16758] -> -1 + 3*a^2 - a^6 - 3*z^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16759] -> -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^4 + 
   4*a^2*z^2 - 9*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 16760] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 16761] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   4*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 16762] -> 1 - 6*z^2 + 12*a^2*z^2 - 
   6*a^4*z^2 - 11*z^4 + 28*a^2*z^4 - 11*a^4*z^4 - 6*z^6 + 23*a^2*z^6 - 
   6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 16763] -> -1 + a^(-2) + a^2 - z^2 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16764] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16765] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - z^2/a^4 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 16766] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16767] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (9*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16768] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16769] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + z^6 + z^6/a^2, Knot[14, NonAlternating, 16770] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 - 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 - z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 16771] -> 
  4 - 2/a^8 + 3/a^6 + a^(-4) - 4/a^2 - a^2 + 9*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16772] -> 1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 16773] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16774] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 6*a^4*z^2 - 
   3*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 16775] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 16776] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   8*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 + a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 16777] -> -a^(-4) + 2/a^2 - 5*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16778] -> a^6 + 3*a^8 - 3*a^10 + 3*a^6*z^2 + 
   11*a^8*z^2 - 4*a^10*z^2 - a^14*z^2 + 4*a^6*z^4 + 10*a^8*z^4 + a^12*z^4 + 
   a^6*z^6 + 2*a^8*z^6, Knot[14, NonAlternating, 16779] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 16780] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16781] -> -5 - 4/a^4 + 9/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 16782] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 16783] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + 
   z^4/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 16784] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 16785] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 16786] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16787] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 
   11*z^2 - z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 16788] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 16789] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   6*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16790] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 2*z^4 - z^4/a^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 16791] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 16792] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + a^2*z^2 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 16793] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 16794] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 16795] -> -1 + a^(-2) + a^2 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 16796] -> -1 + a^(-2) + a^2 - 8*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16797] -> 
  1 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16798] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   23*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 16799] -> 
  4 - 2/a^2 - a^4 + 7*z^2 - (2*z^2)/a^4 - a^2*z^2 - a^4*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 16800] -> 
  2 - a^(-2) + a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 16801] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16802] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 4*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 16803] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   8*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16804] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 16805] -> 
  a^2 + a^6 - a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + 5*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 16806] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 16807] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 16808] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 16809] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 16810] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 3*a^4*z^2 - 3*a^6*z^2 + 11*a^8*z^2 - 
   5*a^10*z^2 + a^4*z^4 - 3*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 16811] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16812] -> -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 + 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16813] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 14*z^2 - 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (31*z^2)/a^2 - 14*z^4 - z^4/a^6 - 
   (10*z^4)/a^4 + (41*z^4)/a^2 - 6*z^6 - (5*z^6)/a^4 + (26*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 16814] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 - (7*z^4)/a^8 + (29*z^4)/a^6 - (25*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 16815] -> -1 - 2/a^4 + 4/a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 16816] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (17*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 16817] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16818] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   6*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   4*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 16819] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16820] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   3*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 16821] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   7*a^4*z^2 - 2*a^6*z^2 - 6*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   5*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 16822] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 4*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16823] -> 3*a^6 - a^8 - a^10 - a^4*z^2 + 
   10*a^6*z^2 - 2*a^10*z^2 - a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 16824] -> 
  -a^2 + 5*a^4 - 3*a^6 + z^2 - 3*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   3*a^2*z^4 + 3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 16825] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - (3*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16826] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) + (2*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 16827] -> -4 + a^(-8) - a^(-6) + 2/a^2 + 3*a^2 - 
   8*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 16828] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16829] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   3*a^4*z^4 - 2*a^8*z^4 - a^4*z^6, Knot[14, NonAlternating, 16830] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 3*a^10*z^2 - a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 16831] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 16832] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16833] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 6*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 
   4*a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 16834] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 16835] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 - z^4/a^6 - (5*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 16836] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 16837] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 16838] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 2*z^2 - 
   z^2/a^4 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 16839] -> 
  5 + a^(-6) - a^(-4) - 2/a^2 - 3*a^2 + a^4 + 9*z^2 - (6*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16840] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - 
   z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 16841] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) + (3*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 16842] -> -a^(-10) + 2/a^6 - a^(-4) + 
   a^(-2) + (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16843] -> 4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 
   9*z^2 - z^2/a^6 + z^2/a^2 - 5*a^2*z^2 + 10*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 16844] -> a^2 + a^4 - 4*a^6 + 6*a^8 - 
   3*a^10 + a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 - 
   2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + a^8*z^6, 
 Knot[14, NonAlternating, 16845] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16846] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + 
   a^(-2) + (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16847] -> 3 - a^(-6) + a^(-2) - 2*a^2 + 8*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 10*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 16848] -> 1 - a^6 + 2*a^8 - a^10 + z^2 - 
   a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 16849] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 16850] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 16851] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + 
   7*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   5*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 16852] -> -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 
   9*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16853] -> 
  -3 + a^(-8) - a^(-6) + a^(-4) + 3*a^2 - 8*z^2 + z^2/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^6 + (4*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 16854] -> 
  4 + a^(-10) - 2/a^8 + 3/a^6 - a^(-4) - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16855] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 16856] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16857] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + 12*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 16858] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 
   2*z^2 + 8*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   7*a^4*z^4 + 2*a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16859] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 16860] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   6*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 16861] -> 1 - 2*a^2 + a^4 + 4*a^6 - 3*a^8 + 2*z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + z^4 - 4*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16862] -> -a^4 + 6*a^6 - 4*a^8 + 2*z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16863] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 16864] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   4*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 16865] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 - z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 16866] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 - 2*a^2*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 16867] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 
   4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 16868] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16869] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 12*z^2 - 
   (11*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 - (13*z^4)/a^4 + (38*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 16870] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - z^2/a^6 + (11*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 16871] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   3*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 + z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 16872] -> a^(-16) - 2/a^14 - 2/a^10 + 
   4/a^8 - (3*z^2)/a^14 - (4*z^2)/a^12 + (5*z^2)/a^10 + (12*z^2)/a^8 - 
   z^4/a^14 - (4*z^4)/a^12 + (17*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 16873] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 
   2/a^2 - (7*z^2)/a^8 + (8*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - 
   (6*z^4)/a^8 + (14*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16874] -> 3 - 4*a^2 + 2*a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 - 
   z^8, Knot[14, NonAlternating, 16875] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   (5*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16876] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 16877] -> a^4 + a^6 - a^10 + a^4*z^2 + 5*a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 + 4*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 16878] -> -a^(-12) + a^(-10) - a^(-6) + 
   2/a^4 + (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 16879] -> a^2 - 2*a^6 + 5*a^8 - 3*a^10 + a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 - a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + a^8*z^6, Knot[14, NonAlternating, 16880] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 16881] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + (4*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 16882] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - 5*z^4 + 
   (4*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16883] -> 3 + a^(-6) - 2/a^2 - 3*a^2 + 2*a^4 + 
   8*z^2 + z^2/a^6 - z^2/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 + 
   z^4/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 16884] -> 4*a^4 - 4*a^6 + 2*a^10 - 
   a^12 + a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 
   3*a^6*z^4 - 2*a^8*z^4, Knot[14, NonAlternating, 16885] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - z^2/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16886] -> a^2 - 3*a^6 + 7*a^8 - 4*a^10 + a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 + 12*a^8*z^2 - 4*a^10*z^2 - a^6*z^4 + 6*a^8*z^4 - 
   a^10*z^4 + a^8*z^6, Knot[14, NonAlternating, 16887] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + a^2*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 
   a^10*z^2 + a^6*z^4 + a^8*z^4, Knot[14, NonAlternating, 16888] -> 
  -1 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 + 2*a^2 - 4*z^2 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16889] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 - 
   a^(-2) + a^2 - z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 16890] -> a^(-6) - a^(-2) + a^2 - a^4 + a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 16891] -> 
  1 + a^(-6) - a^(-2) - a^2 + a^6 - z^2/a^4 - (4*z^2)/a^2 - 3*a^4*z^2 + z^4 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 16892] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   (6*z^4)/a^8 + (9*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16893] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16894] -> 3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - 2*z^6 + 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 16895] -> -a^(-4) + 2/a^2 - 5*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 16896] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16897] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 - z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 16898] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 16899] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (6*z^2)/a^10 - (8*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16900] -> 2/a^10 - 7/a^8 + 6/a^6 - (2*z^2)/a^12 + 
   (11*z^2)/a^10 - (22*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^12 + (15*z^4)/a^10 - 
   (31*z^4)/a^8 + (17*z^4)/a^6 + (7*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 16901] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 16902] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 16903] -> 1 - a^2 - 2*a^4 + 7*a^6 - 4*a^8 + 3*z^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + z^4 - 4*a^2*z^4 - 
   4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16904] -> -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 16905] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - z^4 - 2*a^2*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 16906] -> 2 + a^(-8) - a^(-6) - a^(-2) + z^2/a^8 - 
   (3*z^2)/a^6 - z^2/a^2 - 3*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 16907] -> a^(-8) - a^(-6) + a^2 - 2*z^2 - 
   (2*z^2)/a^6 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 16908] -> 
  -2 - a^(-2) + 9*a^2 - 5*a^4 - 6*z^2 - (3*z^2)/a^2 + 28*a^2*z^2 - 
   13*a^4*z^2 - 8*z^4 - z^4/a^2 + 38*a^2*z^4 - 13*a^4*z^4 - 5*z^6 + 
   25*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 16909] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 5*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 16910] -> 
  a^(-6) - a^(-4) + a^2 - 5*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   7*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16911] -> 
  2 + 2/a^6 - 3/a^4 - z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 16912] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 + (9*z^2)/a^6 - (13*z^2)/a^4 + 
   z^2/a^2 + z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 16913] -> -5 - 4/a^4 + 9/a^2 + a^2 - 
   13*z^2 + z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 16914] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) - z^2/a^10 + (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 + (3*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 - z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 16915] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - 
   (25*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + (17*z^4)/a^6 - (35*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 16916] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 16917] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + 
   (5*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 16918] -> 
  -1 + 3*a^2 - a^6 - z^2 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 16919] -> 
  4*a^6 - 3*a^8 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + z^4 - 
   4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16920] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 16921] -> 
  -1 + 4*a^2 - 2*a^4 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16922] -> a^4 + 2*a^6 - 2*a^8 - z^2 + z^2/a^2 + 
   a^2*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 16923] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 16924] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 16925] -> -1 + 4*a^2 - 2*a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 16926] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16927] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 - z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 16928] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 16929] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^8 + (5*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + 
   (4*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 16930] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - (10*z^4)/a^8 + (14*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 16931] -> 
  1 - 6*z^2 + (2*z^2)/a^4 + 4*a^2*z^2 - 19*z^4 + z^4/a^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - 18*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 16932] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 + 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 16933] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 16934] -> 2 + a^(-4) - 2/a^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 16935] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^6 + z^2/a^4 - z^4/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 16936] -> -1 + a^(-2) + a^2 - 3*z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + z^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 16937] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 16938] -> 1 - a^2 + a^4 + a^6 - a^8 - 2*a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16939] -> a^(-6) - a^(-4) + a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 4*z^4 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16940] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 16941] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 16942] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 7*z^2 - 17*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 + 
   7*z^4 - (2*z^4)/a^2 - 15*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - z^6/a^2 - 
   4*a^2*z^6 + z^8, Knot[14, NonAlternating, 16943] -> 
  3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 4*z^2 - 7*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 
   z^4 - z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 16944] -> 2 + a^(-8) - a^(-6) - a^(-2) - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 - 3*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 16945] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 
   2*a^4 + 9*z^2 + z^2/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   7*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 16946] -> -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 
   5/a^4 + (5*z^2)/a^10 - (3*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 + 
   (2*z^4)/a^10 - (3*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 16947] -> 
  4 + a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - 5/a^2 + 4*z^2 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16948] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^4 - (9*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16949] -> 3 + a^(-6) - 2/a^4 + a^(-2) - 4*a^2 + 
   2*a^4 + 7*z^2 - (3*z^2)/a^4 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16950] -> -1 + 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 
   a^8 - 2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + z^4/a^2 - 3*a^2*z^4 + 
   5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 16951] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + (7*z^4)/a^4 - (8*z^4)/a^2 + 
   (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16952] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16953] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 16954] -> 2 + a^(-6) - a^(-4) - 2*a^2 + 
   a^6 + 4*z^2 - (4*z^2)/a^4 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4, Knot[14, NonAlternating, 16955] -> 
  -a^(-12) + 3/a^10 - a^(-8) - 4/a^6 + 3/a^4 + a^(-2) + (5*z^2)/a^10 - 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 16956] -> -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 - 
   (4*z^2)/a^8 + (23*z^2)/a^6 - (28*z^2)/a^4 + (12*z^2)/a^2 - z^4/a^8 + 
   (19*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + (7*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 16957] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 4*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 16958] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16959] -> 3 + a^(-6) - 2/a^2 - 3*a^2 + 2*a^4 + 
   7*z^2 - (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16960] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 - 
   (3*z^4)/a^4 - (4*z^4)/a^2, Knot[14, NonAlternating, 16961] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 16962] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + (2*z^2)/a^6 - z^2/a^4 - (8*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + z^4/a^6 - z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 16963] -> 
  1 + a^(-4) - a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + z^2 - 9*a^2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 + 3*z^4 - z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 16964] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 6*z^2 - z^2/a^4 - 8*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 6*z^4 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 16965] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + z^2/a^8 - (3*z^2)/a^6 - z^2/a^2 - 3*z^4 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 16966] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 16967] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 - z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 16968] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16969] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + 
   a^2 - z^2/a^6 - (4*z^2)/a^2 + z^4 - z^4/a^4 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 16970] -> a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 8*a^4*z^4 - 
   5*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 16971] -> 4*a^4 - 4*a^6 + a^8 + 8*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 2*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 16972] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 16973] -> a^(-10) - 3/a^8 + 6/a^6 - 8/a^4 + 5/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 16974] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 3*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 6*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 16975] -> 
  4*a^8 - 5*a^12 + 2*a^14 + 2*a^6*z^2 + 10*a^8*z^2 + 6*a^10*z^2 - 
   10*a^12*z^2 + a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + 11*a^10*z^4 - 
   4*a^12*z^4 + 2*a^6*z^6 - a^8*z^6 + 4*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 16976] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (7*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16977] -> -2/a^8 + a^(-6) + 3/a^4 - 
   a^(-2) - z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 16978] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 16979] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 5*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 16980] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - 
   (2*z^2)/a^10 + (5*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 16981] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - 5*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16982] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 16983] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 16984] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 16985] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 16986] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + z^4 - z^4/a^8 + 
   z^4/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 16987] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 16988] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 16989] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 16990] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (6*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 16991] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 16992] -> 
  2 - a^(-2) + a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 - 4*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 16993] -> 1 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^4 - 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4/a^2 - 4*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 16994] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 16995] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   6*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16996] -> 2 - 2*a^2 + a^4 + 3*z^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 5*a^2*z^4 + 3*a^4*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 16997] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   6*z^2 - z^2/a^6 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 16998] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 5*z^2 - 13*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 
   4*z^4 - z^4/a^2 - 11*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 16999] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 17000] -> a^2 + 3*a^4 - 6*a^6 + 4*a^8 - a^10 + 
   a^2*z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 17001] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 17002] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 17003] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 17004] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^10 - (15*z^2)/a^8 + (27*z^2)/a^6 - 
   (7*z^2)/a^4 - (9*z^4)/a^8 + (27*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + 
   (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 17005] -> -3/a^8 + 4/a^6 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (3*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 17006] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 17007] -> 
  -3/a^8 + 4/a^6 - (4*z^2)/a^8 + (10*z^2)/a^6 + (2*z^4)/a^10 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 + z^6/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 17008] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 
   12*z^2 - (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 12*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17009] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17010] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 17011] -> 
  3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17012] -> -4 + 11*a^2 - 7*a^4 + a^6 - 10*z^2 + 
   z^2/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + z^4/a^2 + 
   22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 17013] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (20*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - (27*z^4)/a^4 + 
   (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 17014] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + 
   (16*z^2)/a^6 + (8*z^4)/a^10 - (21*z^4)/a^8 + (13*z^4)/a^6 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 17015] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 13*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 17016] -> 
  2*a^2 - 6*a^4 + 11*a^6 - 7*a^8 + a^10 + 8*a^2*z^2 - 23*a^4*z^2 + 
   31*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 9*a^2*z^4 - 31*a^4*z^4 + 30*a^6*z^4 - 
   7*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 13*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 17017] -> 
  -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 4/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (8*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 + (4*z^4)/a^10 - (6*z^4)/a^8 - 
   (12*z^4)/a^6 + (6*z^4)/a^4 - (2*z^6)/a^8 - (7*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 17018] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 17019] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 17020] -> a^(-8) - a^(-6) + a^2 - z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17021] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 17022] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   6*a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 - a^2*z^4 + 5*a^4*z^4 - 
   11*a^6*z^4 + 4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17023] -> -5 - a^(-6) - 4/a^4 + 11/a^2 - 14*z^2 - 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (32*z^2)/a^2 - 14*z^4 - z^4/a^6 - 
   (10*z^4)/a^4 + (41*z^4)/a^2 - 6*z^6 - (5*z^6)/a^4 + (26*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 17024] -> 
  -8 + 4/a^2 + 6*a^2 - a^4 - 21*z^2 + (7*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17025] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 2/a^4 + 3/a^2 + (4*z^2)/a^10 - (4*z^2)/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 17026] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 17027] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 17028] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17029] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 
   2*a^4 - 2*z^2 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - 2*z^4 + 
   z^4/a^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 17030] -> -1 + a^(-2) + a^2 - z^2 + z^4/a^2 - 
   2*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 17031] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 + 
   a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 17032] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 
   a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17033] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17034] -> -1 + a^(-2) + 2*a^4 - a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 17035] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   z^2/a^8 + z^2/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17036] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17037] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 - 
   3*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 
   19*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 17038] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 17039] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17040] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6 - z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 17041] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + 4*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 17042] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   z^4 - 2*a^2*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17043] -> 6 - a^(-6) + a^(-4) - 2/a^2 - 3*a^2 + 
   12*z^2 - z^2/a^6 - 6*a^2*z^2 + 11*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17044] -> -2/a^12 + 9/a^10 - 13/a^8 + 5/a^6 + 
   2/a^4 - (2*z^2)/a^12 + (17*z^2)/a^10 - (28*z^2)/a^8 + (9*z^2)/a^6 + 
   (5*z^2)/a^4 + (11*z^4)/a^10 - (26*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 17045] -> 2 - a^(-6) - a^(-4) + 3/a^2 - 
   2*a^2 + 6*z^2 - z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 17046] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 + 
   z^2/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17047] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 17048] -> -5 + 3/a^2 + 3*a^2 - 16*z^2 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17049] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 5*z^2 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17050] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17051] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 - 
   a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17052] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17053] -> 2*a^2 - a^4 + 3*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17054] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 
   11*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17055] -> 
  1 - 7*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17056] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17057] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   (9*z^2)/a^8 + (17*z^2)/a^6 - (3*z^2)/a^4 - (2*z^4)/a^10 + (13*z^4)/a^6 - 
   (3*z^4)/a^4 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 17058] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 + z^4/a^4 + (5*z^4)/a^2 + 
   9*a^2*z^4 - 19*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 17059] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 17060] -> 2*a^2 - a^4 - z^2 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 17061] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   6*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17062] -> -a^(-16) + 7/a^14 - 15/a^12 + 9/a^10 + 
   a^(-8) + (6*z^2)/a^14 - (31*z^2)/a^12 + (31*z^2)/a^10 + (4*z^2)/a^8 - 
   (19*z^4)/a^12 + (38*z^4)/a^10 + (7*z^4)/a^8 - (3*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 17063] -> -2/a^12 + 8/a^10 - 13/a^8 + 8/a^6 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 - (28*z^2)/a^8 + (19*z^2)/a^6 + 
   (10*z^4)/a^10 - (26*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - 
   (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 17064] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   z^2/a^10 - (15*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 - (9*z^4)/a^8 + 
   (27*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 17065] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 8*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (24*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 17066] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 + 
   (2*z^2)/a^10 - (20*z^2)/a^8 + (33*z^2)/a^6 - (9*z^2)/a^4 - (11*z^4)/a^8 + 
   (31*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 17067] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 8*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (21*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (5*z^4)/a^6 - (18*z^4)/a^4 + 
   (22*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 17068] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   18*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 17069] -> -2 - a^(-2) + 11*a^2 - 9*a^4 + 
   2*a^6 - 6*z^2 - z^2/a^2 + 25*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + 
   24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 17070] -> 
  -10 - 5/a^4 + 13/a^2 + 3*a^2 - 23*z^2 - (8*z^2)/a^4 + (27*z^2)/a^2 + 
   6*a^2*z^2 - 19*z^4 - (5*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17071] -> -5 + 14*a^2 - 10*a^4 + 2*a^6 - 12*z^2 + 
   z^2/a^2 + 30*a^2*z^2 - 18*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + z^4/a^2 + 
   26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 17072] -> 
  -1 + 9*a^2 - 13*a^4 + 7*a^6 - a^8 - 3*z^2 + 17*a^2*z^2 - 28*a^4*z^2 + 
   14*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 13*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 17073] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17074] -> -10 - 3/a^4 + 10/a^2 + 4*a^2 - 30*z^2 - 
   (4*z^2)/a^4 + (22*z^2)/a^2 + 11*a^2*z^2 - 38*z^4 - z^4/a^4 + 
   (19*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 17075] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 10*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17076] -> -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + 
   12*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + z^4 + 4*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17077] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17078] -> -10 + 3/a^2 + 13*a^2 - 5*a^4 - 20*z^2 + 
   (5*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 13*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17079] -> -8 + a^(-4) + a^(-2) + 11*a^2 - 4*a^4 - 
   15*z^2 + (2*z^2)/a^4 + 17*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 17080] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 12*z^2 + 
   (2*z^2)/a^2 + 26*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 17081] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17082] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^4 + a^2*z^2 - 
   a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 17083] -> 
  2 - 3/a^8 + 6/a^6 - 2/a^4 - 2/a^2 + 3*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 17084] -> 
  -4 + 2/a^4 - a^(-2) + 5*a^2 - a^4 - 6*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 17085] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 4*z^4 - 
   5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 17086] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^4 + 5*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 17087] -> 2*a^4 - a^8 + z^2 - 4*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + z^6 - 
   4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17088] -> 
  2 - a^(-4) + a^(-2) - a^2 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + 
   z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 17089] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2/a^2 - 
   a^2*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 17090] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 17091] -> 
  2*a^2 - a^4 + a^2*z^2 + z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 17092] -> a^(-2) - a^2 + a^4 - z^2 - 
   a^2*z^2 + 2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 17093] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (3*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + (2*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 17094] -> 
  5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 17*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 - 4*a^4*z^4 + 19*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 
   9*a^6*z^6 - 5*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 17095] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17096] -> 
  1 - a^(-2) + 2*a^2 - a^6 - 2*z^2 + 7*a^2*z^2 - a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17097] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - (5*z^4)/a^8 + 
   (15*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 17098] -> 
  a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 17099] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 
   2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 17100] -> 
  1 - a^4 + 2*a^6 - a^8 - a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 
   3*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17101] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 
   8*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 + 4*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17102] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - 6*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 17103] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - 
   a^12 + 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - 
   a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4, Knot[14, NonAlternating, 17104] -> 
  -4 - a^(-6) - 3/a^4 + 9/a^2 - 12*z^2 - (11*z^2)/a^4 + (29*z^2)/a^2 - 
   13*z^4 - (13*z^4)/a^4 + (38*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + 
   (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17105] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 - z^2/a^6 + (11*z^2)/a^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 17106] -> a^(-12) - 4/a^10 + 4/a^8 - 
   2/a^6 + 2/a^4 - (3*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 17107] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - (5*z^2)/a^14 - 
   (10*z^2)/a^12 + (17*z^2)/a^10 + (7*z^2)/a^8 - (5*z^4)/a^14 - 
   (2*z^4)/a^12 + (27*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 17108] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 8*z^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + z^6/a^2 - a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17109] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17110] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 
   3*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17111] -> 
  -2 + a^(-2) + a^2 + 4*a^4 - 4*a^6 + a^8 - 4*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - z^4 - 5*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17112] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^4 + z^2/a^2 + a^4*z^2 - 4*z^4 + z^4/a^4 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 17113] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 + 
   2*z^4 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 17114] -> 2 - 2/a^8 + 2/a^6 + 3/a^4 - 4/a^2 + 
   3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   z^4/a^8 + z^4/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 17115] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 17116] -> 
  5 - a^(-4) - 5*a^2 + 3*a^4 - a^6 + 8*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17117] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + 3*z^4 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 17118] -> 
  1 - a^(-10) + 3/a^8 - 5/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + (5*z^2)/a^8 - 
   (9*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 17119] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^6 - (5*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17120] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 17121] -> 3 - 5*a^2 + 4*a^4 - a^6 + 
   4*z^2 - z^2/a^4 + z^2/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 5*z^4 - 
   8*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17122] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   2*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 17123] -> 1 + a^(-6) - 2/a^2 + a^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 17124] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^4 - 4*a^2*z^2 + 4*z^4 - 
   z^4/a^4 + z^4/a^2 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 17125] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^2 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 17126] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 17127] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   z^2/a^6 + 3*a^2*z^2 - 7*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17128] -> 2 + a^(-6) - a^(-4) - a^(-2) + 6*z^2 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17129] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 17130] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 + z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 17131] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17132] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 17133] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 17134] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 17135] -> 
  2*a^4 - a^6 + a^8 - a^10 + 5*a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 
   2*a^4*z^4 - 6*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 - 2*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 17136] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^4 - (4*z^2)/a^2 + 2*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 17137] -> -2/a^10 + 3/a^8 - 2/a^6 + 
   2/a^4 - z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17138] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 17139] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 
   8*z^4 + z^4/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17140] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (19*z^2)/a^8 + (16*z^2)/a^6 + (8*z^4)/a^10 - 
   (21*z^4)/a^8 + (13*z^4)/a^6 + (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 17141] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 17142] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - 
   a^8 - 3*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 17143] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 + (10*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - 
   (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 17144] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 17145] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 17146] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 17147] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   2*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 17148] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 17149] -> 2 - 3*a^2 + 2*a^4 + a^6 - 
   a^8 + 2*z^2 - 8*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 4*a^2*z^4 + 
   6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17150] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 17151] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - (3*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 17152] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 17153] -> 2 - 2*a^2 + 2*a^6 - a^8 - 3*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17154] -> -3/a^4 + 5/a^2 - a^2 - 4*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17155] -> -4 + 11*a^2 - 7*a^4 + a^6 - 8*z^2 + 
   24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 17*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17156] -> 2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 4*z^4 - 4*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 17157] -> 1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 17158] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17159] -> a^(-10) - 5/a^8 + 5/a^6 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - z^6/a^10 + 
   (4*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 17160] -> 
  2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + (3*z^2)/a^16 - (13*z^2)/a^14 - 
   (9*z^2)/a^12 + (30*z^2)/a^10 + z^4/a^16 - (18*z^4)/a^14 + (11*z^4)/a^12 + 
   (43*z^4)/a^10 - (8*z^6)/a^14 + (19*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 17161] -> -3/a^8 + 4/a^6 - z^2/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - z^6/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 17162] -> 3 - a^(-4) + a^(-2) - 3*a^2 + 
   a^4 + 7*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   7*z^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17163] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   z^4/a^2, Knot[14, NonAlternating, 17164] -> 2 + 2/a^6 - 3/a^4 + 5*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17165] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17166] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^6 - z^2/a^4 + z^2/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17167] -> 3 - 3/a^6 + 4/a^4 - a^(-2) - 2*a^2 + 
   4*z^2 - (7*z^2)/a^6 + (13*z^2)/a^4 - 3*a^2*z^2 + 3*z^4 - (5*z^4)/a^6 + 
   (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^6 + (7*z^6)/a^4 + 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 17168] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17169] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 2*z^2 - 
   7*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - a^8*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17170] -> -a^(-10) + a^(-8) + a^(-2) + 
   (2*z^2)/a^8 + (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 17171] -> 
  a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 
   8*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 - 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + 
   a^8*z^6, Knot[14, NonAlternating, 17172] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 3*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   z^4/a^6 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17173] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + z^2/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 17174] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 17175] -> 
  -4 - 5/a^4 + 10/a^2 - 12*z^2 - (8*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (4*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 17176] -> 
  -3/a^4 + 5/a^2 - a^2 + z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 17177] -> 2*a^2 - a^4 - 2*a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 17178] -> 1 - z^2 - a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 17179] -> 
  2 - 2*a^2 + a^4 - z^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + 
   a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17180] -> 3 - 5*a^2 + 4*a^4 - a^6 + 8*z^2 - 
   z^2/a^2 - 16*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 
   14*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17181] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^2 + 
   a^4*z^2 - a^8*z^2 + z^4 + 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 17182] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 17183] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - 3*a^2*z^2 + 7*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 17184] -> -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 
   41*z^2 - (4*z^2)/a^4 + (25*z^2)/a^2 + 25*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 17185] -> 
  -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 29*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (41*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 17186] -> -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 
   41*z^2 - (4*z^2)/a^4 + (25*z^2)/a^2 + 25*a^2*z^2 - 5*a^4*z^2 - 36*z^4 - 
   z^4/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 17187] -> 
  -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 29*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (41*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 17188] -> 2/a^10 - 10/a^8 + 18/a^6 - 15/a^4 + 
   6/a^2 + (4*z^2)/a^10 - (22*z^2)/a^8 + (44*z^2)/a^6 - (36*z^2)/a^4 + 
   (11*z^2)/a^2 + (2*z^4)/a^10 - (20*z^4)/a^8 + (44*z^4)/a^6 - (34*z^4)/a^4 + 
   (6*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 17189] -> 6*a^6 - 13*a^8 + 17*a^10 - 12*a^12 + 
   3*a^14 + 17*a^6*z^2 - 34*a^8*z^2 + 43*a^10*z^2 - 21*a^12*z^2 + 
   2*a^14*z^2 + 17*a^6*z^4 - 38*a^8*z^4 + 41*a^10*z^4 - 10*a^12*z^4 + 
   7*a^6*z^6 - 24*a^8*z^6 + 16*a^10*z^6 - a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 
   2*a^10*z^8 - a^8*z^10, Knot[14, NonAlternating, 17190] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   z^6/a^10 - z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 17191] -> 
  3/a^14 - 11/a^12 + 9/a^10 + z^2/a^16 - z^2/a^14 - (24*z^2)/a^12 + 
   (36*z^2)/a^10 - (4*z^4)/a^14 - (16*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - 
   (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 17192] -> -a^(-4) + 2/a^2 - 3*z^2 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 17193] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^10 - 
   (17*z^4)/a^8 + (28*z^4)/a^6 - (9*z^4)/a^4 - (8*z^6)/a^8 + (22*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 17194] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17195] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 - (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17196] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 
   5*z^2 + 15*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   27*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 17197] -> -5 + 3/a^2 + 3*a^2 - 18*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17198] -> 2*a^4 - a^8 - 3*z^2 + 6*a^2*z^2 + 
   a^4*z^2 - 4*z^4 + 10*a^2*z^4 - a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 17199] -> a^(-14) - 3/a^12 - a^(-10) + 
   4/a^8 - (5*z^2)/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - 
   z^4/a^12 + (7*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + (2*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 17200] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 - (6*z^4)/a^8 + (22*z^4)/a^6 - (28*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 17201] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (15*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 7*z^6 - (7*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17202] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17203] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, Knot[14, NonAlternating, 17204] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 6*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (19*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + (5*z^4)/a^6 - (22*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 17205] -> 
  -2/a^6 + 3/a^4 - z^2 + z^2/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17206] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 17207] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + a^4*z^2 - 4*z^4 + z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17208] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17209] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 4*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 17210] -> 
  a^(-2) - a^2 + a^4 - z^2 + z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 17211] -> a^2 + a^6 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 17212] -> 2 + 2/a^6 - 3/a^4 - 2*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (6*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17213] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 4*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 5*a^2*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 17214] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   z^4/a^4 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 17215] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 3*z^4 - 
   a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 17216] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 17217] -> 1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17218] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^6 - z^2/a^4 + a^2*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17219] -> -1 - 2/a^4 + 4/a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 17220] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + 15*a^2*z^4 - 7*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17221] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 16*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17222] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 8*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 17*a^6*z^4 - 6*a^8*z^4 + 
   4*a^2*z^6 - 12*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 17223] -> 
  1 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 17224] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17225] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17226] -> -3 - 2/a^4 + 5/a^2 + a^2 - z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17227] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 17228] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 13*z^4 + 
   (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 17229] -> 2 - 2*a^2 + a^4 - z^2/a^4 + 
   z^2/a^2 - a^4*z^2 + z^4 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 17230] -> 
  -1 - a^(-6) + 2/a^4 + a^2 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 17231] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 - 
   z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 4*a^4*z^4 + 
   a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 17232] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17233] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 17234] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 4*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 17235] -> -4 - 3/a^4 + 7/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 17236] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 17237] -> 2*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17238] -> -1 + a^(-2) + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17239] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17240] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17241] -> a^(-2) - a^4 + a^6 - z^2/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 17242] -> 1 + a^2 - a^4 - a^6 + a^8 - 3*z^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 4*z^4 + 10*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17243] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 2*a^2*z^2 - 
   a^6*z^2 - a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 17244] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 17245] -> 
  2 - a^2 - a^4 + a^6 + z^2 - 3*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   z^4 - a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 17246] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17247] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 - z^2/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - z^4 - z^4/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17248] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 
   3*a^2*z^6 - z^8, Knot[14, NonAlternating, 17249] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (9*z^2)/a^2 - (3*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 17250] -> a^(-2) - a^2 + a^4 - 5*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17251] -> -3 - a^(-4) + 4/a^2 + a^4 - 8*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17252] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17253] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 17254] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 17255] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - (5*z^2)/a^12 + (9*z^2)/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - z^4/a^12 + (8*z^4)/a^10 - (5*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 17256] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17257] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 - 
   (6*z^4)/a^8 + (25*z^4)/a^6 - (30*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 17258] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + 6*z^4 - a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17259] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 17260] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - 4*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   13*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 17261] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 3*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 - a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 17262] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 9*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 5*z^6 + 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 17263] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - z^2 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17264] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17265] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 6*z^2 + 20*a^2*z^2 - 24*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 9*z^4 + 29*a^2*z^4 - 26*a^4*z^4 + 6*a^6*z^4 - 
   5*z^6 + 20*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 17266] -> 
  a^2 + a^4 - a^6 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17267] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 17268] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 
   2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17269] -> a^2 + a^4 - a^6 - 6*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 17270] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 17271] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 + 
   z^2/a^4 + z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + z^4/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17272] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   19*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 17273] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 17274] -> 
  a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 17275] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   5*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 3*a^10*z^2 + a^4*z^4 - a^6*z^4 - 
   2*a^8*z^4, Knot[14, NonAlternating, 17276] -> 
  2*a^2 - 2*a^6 + a^8 + a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - z^4 + 
   3*a^4*z^4 - 4*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 17277] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17278] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 17279] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - (3*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 17280] -> 
  2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17281] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (2*z^2)/a^4 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 17282] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   3*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17283] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + z^2 + 
   4*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17284] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 - 
   a^4*z^2 + 20*a^6*z^2 - 24*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 
   25*a^6*z^4 - 27*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 17285] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 + 
   z^2/a^2 - 12*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 12*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 + z^6 - 5*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17286] -> a^2 + a^4 - 2*a^8 + a^10 + a^4*z^2 + 
   4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 17287] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   3*z^4 - 2*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 17288] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17289] -> a^(-8) - 4/a^6 + 4/a^4 - z^2/a^10 + 
   (6*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - 
   (9*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 17290] -> -5 + 3/a^2 + 3*a^2 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17291] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 3*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 17292] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17293] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 17294] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 6*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 
   2*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17295] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 16*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 16*z^4 + (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17296] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   6*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17297] -> 
  4 + a^(-4) - 3/a^2 - a^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17298] -> -1 + a^(-2) + a^2 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17299] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17300] -> 3 - a^(-2) - a^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 17301] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17302] -> 5*a^6 - 5*a^8 + a^10 + 3*a^2*z^2 - 
   6*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 
   11*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17303] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   3*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - a^2*z^4 - a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 17304] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 3*z^2 + (5*z^2)/a^8 - (3*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17305] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 17306] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 17307] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 17308] -> -1 + a^(-2) + a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17309] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^4 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17310] -> -a^(-4) + 2/a^2 - z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - z^4/a^6 + (10*z^4)/a^4 - 
   (4*z^4)/a^2 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17311] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17312] -> 
  -1 + a^(-4) + a^4 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17313] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 5*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17314] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - 10*a^2*z^4 + 3*a^4*z^4 + z^6 - 5*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17315] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 29*z^4 - z^4/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 17316] -> 
  a^4 + a^8 - a^12 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + 5*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 
   3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 17317] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 17318] -> a^2 + a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17319] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 2*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17320] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17321] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 + 
   4*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 17322] -> 
  1 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17323] -> 2*a^4 - a^8 + z^2 - a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17324] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   3*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 + 
   a^4*z^6 - 5*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 17325] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 5*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 17326] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   6*z^2 + (3*z^2)/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17327] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 17328] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (6*z^4)/a^8 + (19*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (11*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 17329] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 17330] -> 
  -5 + 3/a^2 + 3*a^2 - 14*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 + z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 
   6*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 17331] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 + 
   z^4/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17332] -> 3*a^2 - 3*a^4 + a^6 - z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 - z^4/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17333] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 17334] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 17335] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 - (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17336] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (5*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17337] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 
   z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17338] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17339] -> 3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17340] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17341] -> 2*a^4 - a^8 + z^2 - a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17342] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17343] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 17344] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 10*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 17345] -> 3*a^2 - 3*a^4 + a^6 + z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17346] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 
   a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17347] -> 3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 9*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17348] -> -1 + a^(-2) + a^2 - z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17349] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17350] -> -a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17351] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17352] -> 2/a^4 - 2/a^2 + a^4 - 6*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 17353] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (9*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + 
   (8*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 17354] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17355] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   4*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17356] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17357] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 17358] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 
   6*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17359] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 - 4*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 17360] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17361] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 17362] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17363] -> 
  1 - z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 17364] -> -1 + a^(-2) + a^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 17365] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 2*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 17366] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 17367] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   9*a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 17368] -> 
  a^2 + a^6 - a^8 - z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 
   5*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17369] -> 
  1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17370] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6, Knot[14, NonAlternating, 17371] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 17372] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17373] -> 
  -2 + 2/a^2 + a^4 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17374] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 - (6*z^4)/a^8 + (22*z^4)/a^6 - (28*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 17375] -> 1 - 2/a^4 + 3/a^2 - a^2 - z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17376] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 17377] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 19*z^2 + z^2/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + (23*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 17378] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 + 
   8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 17379] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (31*z^2)/a^4 + (24*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (17*z^4)/a^6 - (42*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (7*z^6)/a^6 - 
   (26*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 17380] -> 
  3/a^10 - 9/a^8 + 7/a^6 + z^2/a^14 - (6*z^2)/a^12 + (19*z^2)/a^10 - 
   (31*z^2)/a^8 + (20*z^2)/a^6 - (4*z^4)/a^12 + (24*z^4)/a^10 - 
   (42*z^4)/a^8 + (20*z^4)/a^6 + (10*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 17381] -> -2 + 2/a^2 + a^4 - 9*z^2 + (3*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17382] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 17383] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17384] -> 2*a^2 - 2*a^6 + a^8 + a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 17385] -> a^2 + 3*a^4 - 4*a^6 + a^10 + 
   4*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - a^2*z^4 + 2*a^4*z^4 - 
   2*a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 17386] -> 
  a^2 + a^4 - a^6 + z^2 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 17387] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17388] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17389] -> a^2 + a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 + 
   2*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 17390] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - 
   a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 17391] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 - a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 17392] -> 
  a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 
   a^10*z^2 - a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 17393] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 17394] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 17395] -> 
  3*a^4 - 2*a^6 + 2*z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   2*z^4 - 8*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 17396] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - 3*z^2 - z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17397] -> 2 - a^(-4) + a^(-2) - a^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17398] -> 
  3*a^8 + a^10 - 4*a^12 + a^14 + 3*a^6*z^2 + 9*a^8*z^2 + 4*a^10*z^2 - 
   4*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 8*a^8*z^4 + 4*a^10*z^4 + a^12*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 17399] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 10*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17400] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17401] -> -1 + a^(-2) + a^2 - 6*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17402] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17403] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 17404] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 
   2*a^6*z^6, Knot[14, NonAlternating, 17405] -> 
  -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 17406] -> 
  2 - 3*a^4 + 2*a^6 + z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 17407] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 17408] -> 
  a^(-4) - 2*a^2 + 2*a^4 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 
   2*a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 17409] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17410] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 
   3*a^2*z^6 - z^8, Knot[14, NonAlternating, 17411] -> 
  4 + 2/a^6 - 3/a^4 - a^(-2) - a^2 + 3*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17412] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 
   z^4 - 5*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17413] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17414] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 7*a^2*z^2 - 14*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   12*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 17415] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17416] -> -3 - a^(-4) + 4/a^2 + a^4 - 4*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17417] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 17418] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 6*a^4*z^4 - z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17419] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 17420] -> 3 - 3*a^2 + a^6 + z^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17421] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17422] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 14*z^2 - (7*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (4*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 17423] -> 
  -3/a^12 + 7/a^10 - 8/a^8 + 5/a^6 - (5*z^2)/a^12 + (18*z^2)/a^10 - 
   (20*z^2)/a^8 + (15*z^2)/a^6 - (2*z^4)/a^12 + (19*z^4)/a^10 - 
   (28*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 17424] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17425] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 4*z^4 + 12*a^2*z^4 - 5*a^4*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17426] -> 
  3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + (4*z^2)/a^10 - (21*z^2)/a^8 + 
   (27*z^2)/a^6 - (6*z^2)/a^4 + (2*z^4)/a^10 - (19*z^4)/a^8 + (34*z^4)/a^6 - 
   (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 17427] -> 
  6 - 3/a^2 - a^2 - a^4 + 13*z^2 - (7*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   12*z^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 17428] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - (4*z^2)/a^8 + (21*z^2)/a^6 - 
   (29*z^2)/a^4 + (12*z^2)/a^2 - (2*z^4)/a^8 + (20*z^4)/a^6 - (37*z^4)/a^4 + 
   (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 17429] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 13*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17430] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (10*z^2)/a^10 - (17*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17431] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   9*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 
   10*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17432] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 
   16*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 17433] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - 
   a^8 - z^2 + 6*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   7*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17434] -> 
  -6 + 2/a^6 - 11/a^4 + 16/a^2 - 15*z^2 + (3*z^2)/a^6 - (23*z^2)/a^4 + 
   (40*z^2)/a^2 - 14*z^4 + z^4/a^6 - (19*z^4)/a^4 + (44*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17435] -> -a^(-16) + 7/a^14 - 16/a^12 + 11/a^10 + 
   (6*z^2)/a^14 - (35*z^2)/a^12 + (40*z^2)/a^10 - z^4/a^14 - (24*z^4)/a^12 + 
   (55*z^4)/a^10 - z^6/a^14 - (5*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 17436] -> 
  -2*a^4 + 12*a^6 - 14*a^8 + 6*a^10 - a^12 - 8*a^4*z^2 + 34*a^6*z^2 - 
   29*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 11*a^4*z^4 + 39*a^6*z^4 - 
   24*a^8*z^4 + 4*a^10*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 9*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 17437] -> 
  1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 17438] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 17439] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + z^2/a^14 - (12*z^2)/a^12 + 
   (10*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (5*z^4)/a^12 + (12*z^4)/a^10 + 
   (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 17440] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 17441] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 17442] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 17443] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 17444] -> 
  3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - (19*z^2)/a^8 + 
   (6*z^2)/a^6 + (5*z^2)/a^4 + (9*z^4)/a^10 - (21*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 17445] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 15*z^2 - z^2/a^6 - z^2/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17446] -> 2*a^2 - a^4 + 3*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 - a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17447] -> 1 - 4*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 17448] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - (11*z^6)/a^4 + (19*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17449] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 
   13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 17450] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17451] -> 2 + 2/a^6 - 3/a^4 + z^2/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 17452] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 + z^2/a^4 - 
   (5*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 17453] -> -3 - a^(-6) + 3/a^4 + a^2 + 
   a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17454] -> 1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 - 
   3*z^2 + z^2/a^2 - a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 + 2*a^2*z^4 - 
   a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 17455] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 - 3*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 - z^6, Knot[14, NonAlternating, 17456] -> 
  2 - a^2 - a^4 + a^6 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 5*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17457] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   6*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 17458] -> 1 + 3*a^2 - 6*a^4 + 3*a^6 - z^2 - 
   z^2/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 17459] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 17460] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17461] -> -7 + 4/a^2 + 4*a^2 - 22*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 27*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 17462] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17463] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17464] -> 2/a^4 - 2/a^2 + a^4 - z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 17465] -> 
  1 + 5*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 17466] -> a^(-10) - 3/a^8 + 4/a^6 - 
   4/a^4 + 3/a^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 17467] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + (3*z^2)/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 - 
   z^4/a^4 - (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17468] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17469] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 17470] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - 5*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 17471] -> -1 + a^(-2) + a^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 + z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17472] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 17473] -> 
  2 - a^(-2) + a^2 - a^4 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 17474] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   3*z^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + 10*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 17475] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 11*z^2 - z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   11*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17476] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - 
   2*a^4*z^2 + 18*a^6*z^2 - 16*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 4*a^4*z^4 + 
   19*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 17477] -> 
  2*a^4 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   3*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17478] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + z^2 - a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17479] -> 
  2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 7*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 10*a^6*z^4 + 2*a^10*z^4 + a^4*z^6 - 
   6*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 17480] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - a^6*z^6 - 
   2*a^8*z^6, Knot[14, NonAlternating, 17481] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 17482] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 5*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17483] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (20*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (20*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 17484] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17485] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 - 
   3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 17486] -> 
  a^2 + a^10 - a^12 + 3*a^2*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 + 
   a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 17487] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 17488] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 2*a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 17489] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 + 2*a^6*z^2 - 7*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 17490] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 17491] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - 
   (9*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17492] -> a^(-6) - a^(-4) + a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 17493] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17494] -> a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17495] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^8 - z^4/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 17496] -> 1 + a^(-6) - a^(-4) - a^2 + 
   a^4 + 2*z^2 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 17497] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   5*z^4 + z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 17498] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   4*z^4 - z^4/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17499] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (23*z^2)/a^4 + 
   (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - (31*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 17500] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 17501] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (20*z^2)/a^8 + (25*z^2)/a^6 - (6*z^2)/a^4 + (2*z^4)/a^10 - 
   (20*z^4)/a^8 + (36*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 17502] -> -1 + 5*a^2 - 4*a^4 + a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   30*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 17503] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (6*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - (5*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 17504] -> 3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 7*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 17505] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 17506] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - 
   z^2/a^4 - (7*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 17507] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 17508] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17509] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17510] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17511] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 5*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 
   2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 17512] -> 
  2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 6*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 17513] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17514] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17515] -> a^2 + 2*a^4 - 3*a^6 + a^8 - a^2*z^2 + 
   7*a^4*z^2 - 6*a^6*z^2 + a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17516] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 17517] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 
   4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17518] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6, Knot[14, NonAlternating, 17519] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - z^4 + 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17520] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 17521] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - z^2/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^8 - (10*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 17522] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + z^4 - 
   4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17523] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17524] -> -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17525] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 17526] -> 2 - 2*a^2 + a^4 - 2*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17527] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 4*a^2*z^2 + a^4*z^2 + 22*a^6*z^2 - 11*a^8*z^2 - 
   4*a^2*z^4 + 5*a^4*z^4 + 23*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 17528] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   12*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17529] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (14*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 17530] -> 
  2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17531] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17532] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 17533] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 + 
   z^2/a^14 - (11*z^2)/a^12 + (11*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   (5*z^4)/a^12 + (12*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 17534] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 8*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 17535] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + 
   z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 17536] -> 
  -5 + 3/a^2 + 3*a^2 - 14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 17537] -> 
  a^2 + a^10 - a^12 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*a^10*z^2 + 
   a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 17538] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17539] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 17540] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + a^2*z^2 + a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - a^2*z^4 + a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17541] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (24*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 17542] -> 
  a^2 + a^4 - a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 17543] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 17544] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 17545] -> 
  1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + z^2 - 5*a^2*z^2 + 10*a^4*z^2 - 
   9*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 + z^6 - 
   3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17546] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 17547] -> 2*a^6 + a^10 - 3*a^12 + a^14 + a^4*z^2 + 
   6*a^6*z^2 + 5*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   5*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 17548] -> 
  2*a^2 - a^4 + 2*a^6 - 4*a^8 + 2*a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 17549] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 17550] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 24*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 17551] -> 
  2*a^2 + a^4 - 3*a^6 + a^10 + 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   3*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 17552] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 20*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 17553] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   z^2 + a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17554] -> 2*a^4 - a^8 + a^2*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17555] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 17556] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 8*a^6*z^2 - 10*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   8*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 17557] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 17558] -> -6 - 5/a^4 + 11/a^2 + a^2 - 
   20*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (33*z^2)/a^2 + 4*a^2*z^2 - 24*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (40*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17559] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 - 
   (6*z^2)/a^8 + (27*z^2)/a^6 - (29*z^2)/a^4 + (12*z^2)/a^2 - (2*z^4)/a^8 + 
   (25*z^4)/a^6 - (43*z^4)/a^4 + (15*z^4)/a^2 + (9*z^6)/a^6 - (29*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^6 - (9*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 17560] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 33*z^2 - 
   (2*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 3*a^4*z^2 - 42*z^4 - 
   (3*z^4)/a^4 + (21*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 26*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 17561] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 
   10*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 17562] -> -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 
   3/a^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^6 - (13*z^2)/a^4 + 
   (9*z^2)/a^2 + (7*z^4)/a^8 - (8*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 17563] -> -4 + 3/a^2 + 3*a^4 - a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 10*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 17564] -> 
  2/a^14 - 9/a^12 + 8/a^10 + (2*z^2)/a^16 - (9*z^2)/a^14 - (10*z^2)/a^12 + 
   (30*z^2)/a^10 + z^4/a^16 - (17*z^4)/a^14 + (11*z^4)/a^12 + (43*z^4)/a^10 - 
   (8*z^6)/a^14 + (19*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 17565] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 17566] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 9*z^2 - (3*z^2)/a^2 - 13*a^2*z^2 + 8*a^4*z^2 - 
   2*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 
   3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17567] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17568] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   4*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 17569] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17570] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 17571] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   19*z^2 - z^2/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 2*z^6 + (8*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 17572] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 
   2*a^8 - 5*z^2 + 21*a^2*z^2 - 26*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   27*a^2*z^4 - 29*a^4*z^4 + 7*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 13*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 17573] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - z^2 + 
   6*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 
   a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 17574] -> 
  -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 12*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17575] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   5*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17576] -> 2/a^10 - 3/a^8 - 2/a^6 + 4/a^4 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 + (7*z^4)/a^10 - 
   (17*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17577] -> 2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 7*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 17578] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (9*z^2)/a^10 - (10*z^2)/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 + (8*z^4)/a^10 - (16*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 17579] -> 
  2*a^2 - 3*a^4 + 2*a^6 + 3*a^8 - 4*a^10 + a^12 + 6*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 + 
   5*a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17580] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 + z^2/a^10 - z^2/a^8 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 17581] -> a^4 - a^6 + 5*a^8 - 5*a^10 + a^12 + 
   3*a^4*z^2 - a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 
   8*a^8*z^4 - a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 17582] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 
   6*z^2 - z^2/a^4 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17583] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 22*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 27*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 17584] -> 2*a^6 - 2*a^8 + 6*a^10 - 7*a^12 + 
   2*a^14 + 10*a^6*z^2 - 10*a^8*z^2 + 20*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 
   11*a^6*z^4 - 14*a^8*z^4 + 19*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   9*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 17585] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17586] -> a^4 - a^6 + 3*a^8 - 3*a^12 + a^14 + 
   4*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 + 5*a^10*z^2 - 4*a^12*z^2 + 3*a^4*z^4 - 
   2*a^6*z^4 + 5*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 17587] -> 1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17588] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 17589] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 17590] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 17591] -> 1 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17592] -> 1 + a^2 - a^4 - a^6 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 + a^4*z^2 - 3*a^6*z^2 + 3*z^4 + 3*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 17593] -> 3 - 3*a^2 + a^4 - a^6 + a^8 + 6*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + z^6 - a^2*z^6, Knot[14, NonAlternating, 17594] -> 
  3*a^4 - 2*a^6 - 2*a^8 + 4*a^10 - 2*a^12 + 7*a^4*z^2 - 4*a^6*z^2 - 
   4*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 5*a^6*z^4 - 5*a^8*z^4 + 
   3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 17595] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17596] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17597] -> a^(-4) - a^(-2) + a^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 17598] -> 2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + (3*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 17599] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 17600] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 17601] -> a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 17602] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + 3*a^4*z^2 - a^6*z^2 + 9*a^8*z^2 - 
   a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 8*a^8*z^4 + a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 17603] -> 
  1 - a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^4 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   6*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17604] -> a^(-4) - a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 
   3*a^2*z^2 - 8*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17605] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (26*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 17606] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 + z^2/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 + z^4/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17607] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 17608] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 17609] -> a^(-10) - 4/a^8 + 5/a^6 - 
   3/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17610] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   5*z^2 + 22*a^2*z^2 - 26*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   25*a^2*z^4 - 38*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 17611] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + 
   (11*z^4)/a^10 - (18*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17612] -> a^(-14) - 7/a^12 + 7/a^10 - 
   (16*z^2)/a^12 + (25*z^2)/a^10 + (5*z^2)/a^8 - z^4/a^14 - (9*z^4)/a^12 + 
   (30*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 17613] -> 
  -2/a^6 + 3/a^4 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17614] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - a^2*z^2 - 4*a^4*z^2 + 23*a^6*z^2 - 10*a^8*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 22*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 17615] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (28*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (37*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 17616] -> 
  -2 - 3/a^4 + 6/a^2 - 13*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 
   2*a^2*z^2 - 18*z^4 + z^4/a^6 - (14*z^4)/a^4 + (33*z^4)/a^2 + 3*a^2*z^4 - 
   10*z^6 - (6*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 17617] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (6*z^2)/a^10 - (19*z^2)/a^8 + 
   (24*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^10 - (21*z^4)/a^8 + (34*z^4)/a^6 - 
   (10*z^4)/a^4 - (9*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 17618] -> 
  -3 + 8*a^2 - 4*a^4 - 2*z^2 - (2*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - z^4/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17619] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (13*z^2)/a^6 + (3*z^4)/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17620] -> -2 + 6*a^2 - 3*a^4 - 13*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 21*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 17621] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17622] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   2*z^2 - z^2/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 3*z^4 - 5*a^2*z^4 + 
   5*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 17623] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17624] -> 3 + a^(-8) - a^(-6) + a^(-4) - 3/a^2 + 
   2*z^2 - z^2/a^4 - (5*z^2)/a^2 + (2*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 17625] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17626] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + z^4 - a^2*z^4 - 
   8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17627] -> -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17628] -> -3 + a^(-4) + 4*a^2 - a^4 - 8*z^2 + 
   z^2/a^4 + 6*a^2*z^2 - a^4*z^2 - 8*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17629] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 
   5*z^2 + 23*a^2*z^2 - 30*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   25*a^2*z^4 - 39*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 17630] -> -3/a^8 + 4/a^6 - z^2/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 - (2*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - 
   z^6/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17631] -> -6 - 7/a^4 + 14/a^2 - 16*z^2 + z^2/a^6 - 
   (18*z^2)/a^4 + (40*z^2)/a^2 - 15*z^4 - (16*z^4)/a^4 + (46*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (27*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 17632] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + (6*z^4)/a^10 - (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 17633] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - (14*z^2)/a^12 + (17*z^2)/a^10 + 
   (8*z^2)/a^8 - z^4/a^14 - (6*z^4)/a^12 + (21*z^4)/a^10 + (13*z^4)/a^8 + 
   (9*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 17634] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 
   2/a^4 - (2*z^2)/a^12 + (11*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (7*z^4)/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17635] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17636] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17637] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 
   6*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 17638] -> 
  5*a^6 - 5*a^8 + a^10 - a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 17639] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + z^4 + 
   z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 17640] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - 
   (22*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^8 + (17*z^4)/a^6 - (28*z^4)/a^4 + 
   (9*z^4)/a^2 + (7*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 17641] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17642] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 19*z^2 - 
   (6*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 17643] -> -2/a^12 + 6/a^10 - 9/a^8 + 
   6/a^6 - (2*z^2)/a^12 + (12*z^2)/a^10 - (20*z^2)/a^8 + (16*z^2)/a^6 + 
   (9*z^4)/a^10 - (21*z^4)/a^8 + (13*z^4)/a^6 + (2*z^6)/a^10 - (11*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 17644] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (14*z^2)/a^8 + (14*z^2)/a^6 + (7*z^4)/a^10 - (17*z^4)/a^8 + (12*z^4)/a^6 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 17645] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17646] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (22*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + 
   (15*z^4)/a^6 - (30*z^4)/a^4 + (10*z^4)/a^2 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 17647] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 17648] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^4*z^2 + 7*z^4 - a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 17649] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 3*z^2 + 14*a^2*z^2 - 20*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 12*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 17650] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 17651] -> -4 + 11*a^2 - 7*a^4 + a^6 - 8*z^2 - 
   z^2/a^2 + 26*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 25*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 17652] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 
   3*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17653] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 17654] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (16*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (13*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17655] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 14*z^2 + 
   z^2/a^6 - (17*z^2)/a^4 + (34*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + 
   (42*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 17656] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17657] -> 5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + 
   z^2/a^6 + z^2/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17658] -> -4 - a^(-4) + 3/a^2 + 4*a^2 - a^6 - 
   11*z^2 - z^2/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 9*z^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 17659] -> 2 + a^(-4) - a^(-2) - 4*a^2 + 4*a^4 - 
   a^6 + 2*z^2 - z^2/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17660] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17661] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   23*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 17662] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 17663] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 4*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17664] -> 4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 
   11*z^2 - (5*z^2)/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 13*z^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17665] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 8*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 5*z^4 - z^4/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17666] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 17667] -> 
  5*a^4 - 5*a^6 + a^10 - 3*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 17668] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 
   13*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 6*a^4*z^4 - 13*z^6 + (4*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 17669] -> -6 + 4/a^2 + 2*a^2 + a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17670] -> a^(-2) - a^2 + a^4 - z^2 - 2*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 17671] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 - a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 17672] -> a^(-6) - a^(-2) + a^4 + z^2 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + 4*z^4 + 3*a^2*z^4 - a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 17673] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   z^4 + (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17674] -> 2*a^2 - a^6 - a^8 + a^10 - z^2 + 
   2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 17675] -> 
  1 + a^4 - 2*a^6 + a^8 - 2*z^2 + a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 17676] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*a^2*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 17677] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 20*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (23*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (23*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 17678] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17679] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + z^4/a^4 + z^4/a^2 + a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 17680] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17681] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 - z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 17682] -> 
  -1 + a^(-2) + a^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 17683] -> -2/a^6 + 3/a^4 - (2*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 17684] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 2*z^2 + z^2/a^8 - (7*z^2)/a^6 + (16*z^2)/a^4 - 
   (9*z^2)/a^2 + 2*z^4 - (4*z^4)/a^6 + (13*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17685] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   2*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17686] -> 2 - 3*a^2 + 5*a^6 - 3*a^8 + 3*z^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + z^4 - 4*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17687] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 
   14*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 12*a^6*z^4 - 
   11*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 17688] -> -3 - 4/a^4 + 8/a^2 - 5*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17689] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 17690] -> 
  2*a^4 - a^6 + a^10 - a^12 + 5*a^4*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - a^2*z^4 + 
   2*a^4*z^4 - 3*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 17691] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 4*z^4 + 2*a^2*z^4 - 
   3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17692] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 2*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 17693] -> -1 + 5*a^2 - 4*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + z^6/a^2 + 4*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17694] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 17695] -> -5 - 4/a^4 + 9/a^2 + a^2 - 
   9*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17696] -> 
  2 + 2/a^6 - 3/a^4 + z^2 + z^2/a^8 - (4*z^2)/a^4 - z^2/a^2 - 2*z^4 - 
   (3*z^4)/a^6 + z^4/a^2 - z^6 - z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 17697] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 17698] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 8*z^2 - (2*z^2)/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - 
   2*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 12*a^2*z^4 + 5*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 4*a^2*z^6 + z^8, Knot[14, NonAlternating, 17699] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 5*z^4 + z^4/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17700] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   a^4*z^2 - 7*z^4 + z^4/a^4 + (2*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 17701] -> 5*a^2 - 8*a^4 + 4*a^6 + a^8 - 
   a^10 - 3*z^2 + 12*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 
   11*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17702] -> 3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 4*z^2 - 
   7*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 17703] -> 3*a^4 - a^6 - 4*a^8 + 5*a^10 - 2*a^12 + 
   7*a^4*z^2 - 3*a^6*z^2 - 7*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   5*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 17704] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2/a^2 - 
   5*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 17705] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 11*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 10*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17706] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17707] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 17708] -> 6 - 2/a^2 - 4*a^2 + a^4 + 11*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17709] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^8 - z^4/a^6 - (11*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 17710] -> 2*a^2 - a^4 + 3*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17711] -> 1 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + 
   a^6*z^2 + 3*z^4 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 17712] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 
   5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17713] -> 3 - a^(-2) - a^2 + 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 17714] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 
   z^4 - 6*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 17715] -> -2/a^8 + 6/a^6 - 7/a^4 + 
   4/a^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (26*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + (40*z^4)/a^6 - (29*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 17716] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 
   2/a^2 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17717] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^10 - z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 17718] -> -a^(-4) + 2/a^2 + z^2/a^2 - 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 17719] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 17720] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^4 - 
   (2*z^4)/a^6 - (5*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17721] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + 
   z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 17722] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 17723] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17724] -> -2 + a^(-4) + 2*a^2 - 4*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17725] -> -a^(-4) + 2/a^2 + 3*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 - a^2*z^4 + 4*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 17726] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17727] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - z^2 - z^2/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17728] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + 12*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17729] -> -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 
   9*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17730] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17731] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17732] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 17733] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   z^4/a^2 + a^2*z^4 + 3*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17734] -> 1 - a^2 + a^4 + a^6 - a^8 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17735] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   z^2 - z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 17736] -> -2 + 2/a^2 + a^4 - 6*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 17737] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + z^2/a^6 - z^2/a^4 + 2*a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17738] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   4*z^2 - z^2/a^6 + z^2/a^4 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 17739] -> 
  -7 - a^(-4) + 3/a^2 + 11*a^2 - 5*a^4 - 24*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 29*a^2*z^2 - 9*a^4*z^2 - 30*z^4 - z^4/a^4 + (13*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 17740] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 5*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 17741] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 8*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + z^4/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 5*z^6 + 13*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 17742] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 - a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 17743] -> -a^(-6) - a^(-4) + 4/a^2 - 
   a^2 + 2*z^2 - z^2/a^6 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17744] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 17745] -> 
  1 - 3/a^8 + 4/a^6 + a^(-4) - 2/a^2 + 2*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17746] -> -2/a^12 + 4/a^10 - 2/a^8 - 2/a^6 + 
   3/a^4 - z^2/a^12 + (7*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 17747] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   3*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 + 2*z^6 - 3*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17748] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - z^4/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17749] -> 
  -1 + 3*a^2 - a^6 - z^2 - z^2/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - z^4/a^2 + a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17750] -> 
  3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17751] -> 3*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 
   9*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - 5*a^2*z^4 + 8*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17752] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17753] -> -3 - a^(-4) + 4/a^2 + a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17754] -> a^2 + a^6 - a^8 + a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17755] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (12*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17756] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 17757] -> 
  -3 + 2/a^2 + 4*a^4 - 2*a^6 - 6*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 5*z^6 + z^6/a^2 - 
   z^8, Knot[14, NonAlternating, 17758] -> 2*a^6 - a^8 + 4*a^10 - 6*a^12 + 
   2*a^14 + 7*a^6*z^2 - 3*a^8*z^2 + 14*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 
   9*a^6*z^4 - 7*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 7*a^8*z^6 + 
   5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 17759] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17760] -> 2 - 2*a^2 + a^4 - a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17761] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - 
   a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   8*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17762] -> 3 + a^(-6) - 3/a^2 + 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17763] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 17764] -> 7 - 3/a^2 - 3*a^2 + 12*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17765] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17766] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 17767] -> -1 + 3*a^2 - a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 17768] -> 
  6*a^2 - 10*a^4 + 6*a^6 - a^8 - 4*z^2 + 16*a^2*z^2 - 24*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 20*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17769] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 17770] -> 
  2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 3*z^2 + (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + z^4 + z^4/a^8 - z^4/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 17771] -> 
  -7 - a^(-6) + 6/a^2 + 3*a^2 - 15*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (13*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (13*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17772] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   4*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17773] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^6 - z^4/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 17774] -> 
  2*a^6 + a^10 - 3*a^12 + a^14 + a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 6*a^10*z^2 - 
   5*a^12*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 6*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 17775] -> -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17776] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 - z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17777] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + 
   (7*z^4)/a^2 + (7*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 17778] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + (6*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 + (6*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 + z^6 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 17779] -> 2 - 2*a^2 + a^4 + 3*z^2 - 5*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 6*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17780] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 17781] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 17782] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 10*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 17783] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 17784] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 8*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17785] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17786] -> a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17787] -> 2 + a^(-4) - 2/a^2 + 6*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17788] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17789] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 
   3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17790] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 17791] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 17792] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^4 - 2/a^2 + 3*z^2 + (6*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17793] -> 3*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 - 
   3*z^2 + 9*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 
   10*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17794] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17795] -> 3/a^6 - 7/a^4 + 5/a^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (13*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 17796] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 
   10*a^2*z^2 - 19*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - z^4 + 9*a^2*z^4 - 
   21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 17797] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 18*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 17798] -> 
  4 - 2/a^2 - a^4 + 10*z^2 - z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 17799] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 - z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 17800] -> 
  a^2 + a^6 - a^8 + a^2*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 17801] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 17802] -> 
  2*a^4 - a^6 + a^10 - a^12 + a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - 5*a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[14, NonAlternating, 17803] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 
   z^2/a^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 17804] -> 2*a^6 - a^12 + 2*a^4*z^2 + 
   4*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 
   4*a^8*z^4 + a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 17805] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 17806] -> -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17807] -> 2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17808] -> 3 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17809] -> 4*a^8 - a^10 - 3*a^12 + a^14 + 
   2*a^6*z^2 + 12*a^8*z^2 - 3*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 11*a^8*z^4 + 
   2*a^10*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 17810] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + a^10*z^2 - 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 17811] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 17812] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   8*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 17813] -> 2 - 2*a^2 + a^6 + a^8 - a^10 + 3*z^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + z^4 - 8*a^2*z^4 + 
   7*a^4*z^4 - 5*a^6*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17814] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 17815] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 
   z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17816] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 17817] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 17818] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + 
   z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 17819] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   4*z^4 - z^4/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 17820] -> 
  -1 + 3*a^2 - a^6 - 5*z^2 + z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   z^4/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17821] -> 
  1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17822] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17823] -> a^(-8) - 4/a^6 + 4/a^4 - z^2/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - 
   (15*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 + z^6/a^10 - (11*z^6)/a^8 + 
   (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[14, NonAlternating, 17824] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 17825] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 17826] -> 3 - 4*a^2 + 2*a^4 + z^2 - 4*a^2*z^2 + 
   a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17827] -> -2 + a^(-4) + 2*a^2 - 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17828] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17829] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*a^2*z^2 + 
   5*a^4*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17830] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 4*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (19*z^2)/a^4 + (17*z^2)/a^2 - 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (19*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 17831] -> 
  a^(-4) - a^(-2) + a^2 - 8*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 17832] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   4*z^4 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 17833] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 17834] -> -4 + 11*a^2 - 7*a^4 + a^6 - 
   9*z^2 + 25*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 17835] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 - 
   13*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 17836] -> 
  2 + a^(-4) - 2/a^2 - z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (6*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 17837] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   7*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   2*z^4 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 17838] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (28*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 17839] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - (23*z^2)/a^4 + 
   (20*z^2)/a^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 17840] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 + (3*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^4)/a^10 - (13*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 - (7*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 17841] -> -1 + a^(-2) + a^2 - 11*z^2 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + z^4/a^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17842] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17843] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 17844] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 17845] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 17846] -> 
  -1 + a^(-2) + a^2 + z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 5*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 17847] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (24*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 17848] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 17849] -> 
  a^(-6) - a^(-4) + a^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 17850] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - 4*a^2*z^2 + 
   7*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 9*a^4*z^4 - 
   5*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17851] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 17852] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17853] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17854] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 17855] -> -2 + a^(-4) + 2*a^2 - z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 17856] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - 
   (8*z^4)/a^8 + (13*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 17857] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17858] -> 
  a^2 + a^6 - a^8 + a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17859] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 17860] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17861] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 2*a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + z^4 - 5*a^2*z^4 + 10*a^4*z^4 - 
   5*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 17862] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 17863] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^2 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 17864] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^10 + 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (3*z^4)/a^10 + (6*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 17865] -> -4/a^8 + 6/a^6 - a^(-4) - 
   (3*z^2)/a^10 - z^2/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 17866] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 8*z^2 - 
   (6*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 17867] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (5*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^8 - 
   (9*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 17868] -> -2/a^10 + 2/a^8 + a^(-4) - (4*z^2)/a^10 + 
   (8*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 + z^6/a^8, Knot[14, NonAlternating, 17869] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + z^2/a^4 + (4*z^2)/a^2 - z^4 - 
   z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 17870] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   2*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 17871] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 3*a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - 
   5*a^6*z^4 - a^8*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17872] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17873] -> 2 - 3*a^4 + 2*a^6 + 4*z^2 - (3*z^2)/a^2 + 
   a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 17874] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (8*z^2)/a^10 - (17*z^2)/a^8 + (10*z^2)/a^6 + 
   (4*z^2)/a^4 + (8*z^4)/a^10 - (21*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 17875] -> -1 + 5*a^2 - 4*a^4 + a^6 + 
   5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17876] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (2*z^2)/a^10 + (2*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 17877] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + z^2/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 14*z^4 + z^4/a^4 + (2*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 17878] -> 
  3 + 2/a^6 - 2/a^4 - 2/a^2 + 4*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (11*z^2)/a^2 + z^4 - z^4/a^8 - z^4/a^6 + (9*z^4)/a^4 - (10*z^4)/a^2 + 
   (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 17879] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (5*z^2)/a^8 - (11*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - (13*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 17880] -> -2/a^12 + 3/a^8 - z^2/a^14 - 
   (6*z^2)/a^12 + (7*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + 
   (13*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 17881] -> a^(-10) - a^(-8) - a^(-6) + 
   2/a^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17882] -> -2 + 2/a^2 + a^4 - 7*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 - 
   a^2*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 17883] -> a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^6 + (3*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 17884] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 17885] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   z^2/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 17886] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 17887] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17888] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 17889] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 18*a^6*z^4 - 
   7*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 17890] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 17891] -> 
  -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 - 2*a^4*z^2 + 21*a^6*z^2 - 10*a^8*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 23*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 17892] -> a^(-10) - 5/a^8 + 5/a^6 + (6*z^2)/a^10 - 
   (13*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (7*z^4)/a^10 - (17*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 17893] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (6*z^2)/a^10 - (12*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (7*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 17894] -> 
  -a^(-8) + 2/a^4 - (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 17895] -> a^2 + a^4 - 2*a^8 + a^10 + 2*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 17896] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 17897] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + (9*z^2)/a^10 - (18*z^2)/a^8 + 
   (11*z^2)/a^6 + (3*z^2)/a^4 + (9*z^4)/a^10 - (20*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 17898] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*z^2 + a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + z^4 - 12*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17899] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - z^4 - a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 17900] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 17901] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 17902] -> 
  -4 + 3/a^2 + a^2 + a^4 - 10*z^2 + (3*z^2)/a^4 + a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, NonAlternating, 17903] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - 
   a^2*z^2 - 2*z^4 + z^4/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 17904] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17905] -> -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + z^4/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17906] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 17907] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 17908] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 17909] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 + 
   a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + z^4 - 12*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17910] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 6*a^2*z^2 - 
   14*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 26*a^4*z^4 + 
   23*a^6*z^4 - 6*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 17911] -> -a^(-12) + 3/a^8 - 4/a^6 + 3/a^4 - 
   (2*z^2)/a^12 + (6*z^2)/a^10 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17912] -> -a^(-12) + a^(-8) + a^(-4) - 
   (2*z^2)/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^4 + (5*z^4)/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17913] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 17914] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + (2*z^2)/a^10 + z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 17915] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 17916] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (4*z^2)/a^16 - (14*z^2)/a^14 - (8*z^2)/a^12 + 
   (30*z^2)/a^10 + (2*z^4)/a^16 - (21*z^4)/a^14 + (12*z^4)/a^12 + 
   (43*z^4)/a^10 - (9*z^6)/a^14 + (19*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 17917] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 17918] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 6*z^2 + z^2/a^4 + z^2/a^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 4*z^4 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 17919] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   (4*z^2)/a^16 - (17*z^2)/a^14 + (27*z^2)/a^10 + (2*z^4)/a^16 - 
   (22*z^4)/a^14 + (17*z^4)/a^12 + (42*z^4)/a^10 - (9*z^6)/a^14 + 
   (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 17920] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 - 4*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 17921] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 6*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 + 
   a^4*z^6 - 6*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 17922] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (19*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (20*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 17923] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 17924] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 17925] -> -1 + a^(-2) + a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 17926] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 17927] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 12*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 17928] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + z^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 17929] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   6*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 6*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 17930] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 17931] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - z^4/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 - z^6/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 17932] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 17933] -> 
  3 - 4*a^2 + 2*a^4 + 8*z^2 + z^2/a^4 - (3*z^2)/a^2 - 13*a^2*z^2 + 
   5*a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 11*a^2*z^4 + 2*a^4*z^4 + 
   4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 17934] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - z^2 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   4*z^4 - z^4/a^4 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 17935] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^4*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 17936] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 + 2*z^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 - a^8*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 17937] -> 5*a^8 - 4*a^10 + 7*a^4*z^2 - 
   7*a^6*z^2 + 13*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 8*a^4*z^4 - 11*a^6*z^4 + 
   6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 17938] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - z^4/a^8 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17939] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 17940] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 17941] -> -2/a^10 + 2/a^8 - a^(-6) + 3/a^4 - 
   a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4/a^10 + (5*z^4)/a^8 - (2*z^4)/a^6 + (10*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17942] -> 2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^4 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 17943] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 + 
   a^2*z^4 + 2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 17944] -> 
  3 - 3*a^2 + a^6 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + z^4 - (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 17945] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 17946] -> 
  2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - 
   z^4/a^4 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 17947] -> a^6 + 2*a^8 - a^10 - a^12 + 3*a^2*z^2 + 
   a^4*z^2 + 4*a^8*z^2 + 2*a^10*z^2 - 2*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 17948] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 17949] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + z^2/a^2 - a^2*z^2 + a^4*z^2 - a^8*z^2 - 
   z^4 - 2*a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 17950] -> 
  3 - 2*a^2 - a^4 + a^8 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   z^4 - z^4/a^2 - a^2*z^4, Knot[14, NonAlternating, 17951] -> 
  a^6 + 3*a^8 - 3*a^10 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 6*a^8*z^2 - z^4 + 
   a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 17952] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 - 
   z^2/a^8 - z^2/a^4 - z^2/a^2 - a^2*z^2 + z^4 + z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[14, NonAlternating, 17953] -> 
  2 - 2*a^4 + a^8 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + z^4 + 
   2*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 17954] -> 
  -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + z^4, 
 Knot[14, NonAlternating, 17955] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 2*z^2 + 
   3*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - z^4 + 4*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 + a^2*z^6, Knot[14, NonAlternating, 17956] -> 
  2*a^8 + 2*a^10 - 3*a^12 + 7*a^6*z^2 + 4*a^8*z^2 + 4*a^10*z^2 - 2*a^12*z^2 + 
   6*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 17957] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 4*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 17958] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2/a^6 + z^2/a^4 - 3*a^2*z^2 + (2*z^4)/a^4 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 17959] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (4*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 17960] -> a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^8 + z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4 - z^4/a^4 - 
   (2*z^4)/a^2, Knot[14, NonAlternating, 17961] -> 
  1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 - z^2/a^8 - z^2/a^4 - z^2/a^2 - 
   a^2*z^2 + z^4 + z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[14, NonAlternating, 17962] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 
   z^2 - z^2/a^6 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 3*z^4 + 
   z^4/a^4 + (3*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 17963] -> 
  2 + 2/a^6 - 3/a^4 + 5*z^2 + (9*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + 
   4*z^4 + (8*z^4)/a^6 - (21*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (11*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 17964] -> -2/a^10 + 3/a^8 - 3/a^6 + 4/a^4 - 
   a^(-2) - (3*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 + (13*z^2)/a^4 - 
   (4*z^2)/a^2 - z^4/a^10 + (5*z^4)/a^8 - (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 17965] -> a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^8 - (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 17966] -> 1 + 6*z^2 - 10*a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 17*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   10*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 17967] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^4 + z^4 + z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17968] -> 2 - 2*a^2 + a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 
   a^6*z^4 - 2*z^6 - 3*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 17969] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 17970] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 17971] -> 2 + 3/a^4 - 5/a^2 + a^2 + 2*z^2 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - z^4 + z^4/a^6 - 
   z^4/a^4 - (11*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 17972] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 
   6*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 
   3*a^6*z^4 - 3*a^8*z^4 + 2*a^10*z^4 - a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 17973] -> 5 - 2/a^2 - 2*a^2 + 13*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 17974] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 4*z^2 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 17975] -> 2*a^4 - a^6 + a^10 - a^12 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4, Knot[14, NonAlternating, 17976] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 17977] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^4 + 2*a^4*z^2 - 2*z^4 - z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 17978] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 6*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 5*a^2*z^4 - 11*a^4*z^4 - 5*a^6*z^4 + 
   4*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 17979] -> a^2 + a^6 - a^8 + 2*z^2 + a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 17980] -> a^2 + a^4 - a^6 + 2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + a^8*z^2 + z^4 - 2*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + a^8*z^4 - 
   a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 17981] -> 
  2*a^8 + a^10 - a^12 - a^14 + 2*a^4*z^2 + 5*a^6*z^2 + 4*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 + a^4*z^4 + 2*a^6*z^4 + a^8*z^4, 
 Knot[14, NonAlternating, 17982] -> 2 + a^(-4) - 2/a^2 - z^2/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 + z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[14, NonAlternating, 17983] -> 
  a^2 + a^4 - a^6 + z^2 + z^2/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + a^8*z^2 - 
   z^4 - 3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, Knot[14, NonAlternating, 17984] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 3*a^2*z^2 + a^6*z^2 - 2*a^8*z^2 + 
   3*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 17985] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17986] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 + 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^2 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 17987] -> 2*a^6 - a^12 + 4*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 - a^4*z^6, Knot[14, NonAlternating, 17988] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 
   5*a^8*z^2 - a^2*z^4 + 2*a^4*z^4 - 4*a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 17989] -> 2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 17990] -> 1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 17991] -> 2 - a^2 - a^6 + a^8 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^6*z^2 + z^4 - (2*z^4)/a^2 + 2*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 17992] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 17993] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^8 + z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 17994] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 17995] -> a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 17996] -> 3*a^4 - 2*a^6 - 3*z^2 + 3*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + 5*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 
   2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 17997] -> 
  1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 17998] -> -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 17999] -> 2 + a^(-6) - a^(-4) - a^(-2) + 8*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + z^4/a^6 - 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18000] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 - a^4*z^2 + 
   14*a^6*z^2 - 10*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 13*a^6*z^4 - 
   9*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 18001] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (28*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 18002] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - (23*z^2)/a^4 + 
   (20*z^2)/a^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 18003] -> 2*a^8 + 2*a^10 - 3*a^12 + 
   5*a^6*z^2 + 5*a^8*z^2 + 7*a^10*z^2 - 3*a^12*z^2 - a^14*z^2 + 6*a^6*z^4 + 
   4*a^8*z^4 + 5*a^10*z^4 + a^12*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 18004] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18005] -> a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 18006] -> 
  2 + a^(-8) - 2/a^4 + 3*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + 
   z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 18007] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - z^4 + z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 18008] -> 
  a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - z^4 - z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 18009] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^2 - 
   a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 18010] -> 
  2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2, 
 Knot[14, NonAlternating, 18011] -> 2*a^2 - a^4 + z^2/a^2 - a^4*z^2 + 
   a^8*z^2 - z^4 - 2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4, 
 Knot[14, NonAlternating, 18012] -> a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + a^10*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 18013] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - (2*z^4)/a^2 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 18014] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   4*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (10*z^4)/a^2 + z^6 - z^6/a^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 18015] -> 
  -2/a^10 + 2/a^8 - a^(-6) + 3/a^4 - a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 - 
   z^2/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 18016] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 18017] -> 
  1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18018] -> -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 18019] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2/a^10 + 
   (5*z^2)/a^8 - (13*z^2)/a^4 + (8*z^2)/a^2 + (5*z^4)/a^8 - (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 18020] -> 
  3 + a^(-6) - 3/a^2 + 6*z^2 + (3*z^2)/a^6 - z^2/a^4 - (11*z^2)/a^2 + 4*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18021] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^6 + (6*z^4)/a^2 - z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18022] -> 
  a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 18023] -> 
  2*a^2 - a^4 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 18024] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^12 + (9*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^4 + (9*z^4)/a^10 - 
   (19*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18025] -> 3 - a^(-2) - a^2 + 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18026] -> -2/a^10 + 3/a^8 - 4/a^6 + 6/a^4 - 2/a^2 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 - 
   z^4/a^10 + (5*z^4)/a^8 - (4*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18027] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (7*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 18028] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18029] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 18030] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 
   z^2/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 18031] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 18032] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   z^2/a^10 + (4*z^2)/a^8 - (11*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 18033] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 18034] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 + (7*z^4)/a^4 - 
   (16*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 18035] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (4*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^4)/a^10 + (10*z^4)/a^8 - z^4/a^6 + z^4/a^4 - z^6/a^10 + 
   (5*z^6)/a^8 - z^6/a^6 + z^8/a^8, Knot[14, NonAlternating, 18036] -> 
  1 + a^2 - 2*a^4 + a^6 + 5*z^2 - 7*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 
   14*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - 2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 18037] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - 9*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   14*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - 2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 18038] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 + (3*z^2)/a^4 - z^2/a^2 + 2*a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 18039] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 2*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18040] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - 12*a^2*z^2 + 
   5*a^4*z^2 + (2*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 18041] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (3*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 + (4*z^4)/a^8 - (6*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 18042] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 18043] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 18044] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   4*z^2 + (3*z^2)/a^2 - 4*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + z^4/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18045] -> 1 + z^2 + z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2, Knot[14, NonAlternating, 18046] -> 
  a^(-2) - a^4 + a^6 - 2*z^2 + z^2/a^4 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   2*z^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 18047] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 11*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18048] -> 
  -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^8 + (14*z^4)/a^6 - (19*z^4)/a^4 + (7*z^4)/a^2 + 
   (7*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18049] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (6*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 18050] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 - (9*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18051] -> -3 - 4/a^4 + 8/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 18052] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18053] -> 2*a^2 - a^4 - 9*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 18054] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + z^2/a^2 + 
   22*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 9*z^4 + z^4/a^2 + 22*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 18055] -> 3*a^2 - 3*a^4 + a^6 + 5*z^2 - 5*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - 15*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 + 
   2*z^6 - 10*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18056] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (4*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^4 - z^6/a^10 + (5*z^6)/a^8 - z^6/a^6 + z^8/a^8, 
 Knot[14, NonAlternating, 18057] -> 1 + a^2 - 2*a^4 + a^6 + (2*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 2*z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18058] -> 3*a^4 - 2*a^6 - 2*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 18059] -> 1 + a^4 - 2*a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 6*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18060] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18061] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 - z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 18062] -> 
  1 + a^2 - a^4 - a^6 + a^8 + z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 18063] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   3*a^2*z^2 - a^4*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 18064] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 - (8*z^2)/a^6 + (14*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*z^4 - (8*z^4)/a^6 + (20*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (2*z^6)/a^6 + (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 18065] -> -2/a^6 + 3/a^4 - 2*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 18066] -> -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18067] -> 4 - 2/a^2 - a^4 + 15*z^2 - (8*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 19*z^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   10*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18068] -> 4 - 2/a^2 - a^4 + 11*z^2 - (6*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 15*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   9*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18069] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 11*z^2 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 17*z^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18070] -> -2*a^2 + 5*a^4 - 2*a^8 - 9*a^2*z^2 + 
   19*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 - 8*a^2*z^4 + 22*a^4*z^4 + 5*a^6*z^4 - 
   4*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 18071] -> -2*a^2 + 4*a^4 + 2*a^6 - 
   3*a^8 - 10*a^2*z^2 + 19*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 - 9*a^2*z^4 + 
   24*a^4*z^4 + 8*a^6*z^4 - 5*a^8*z^4 - 2*a^2*z^6 + 12*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + 2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 18072] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 3*z^2 + 12*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   4*a^2*z^4 + 10*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 18073] -> 
  2*a^6 + a^8 - 2*a^10 - 3*a^6*z^2 + 24*a^8*z^2 - 13*a^10*z^2 - 10*a^6*z^4 + 
   44*a^8*z^4 - 16*a^10*z^4 - 6*a^6*z^6 + 30*a^8*z^6 - 7*a^10*z^6 - a^6*z^8 + 
   9*a^8*z^8 - a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 18074] -> 
  1 + 10*z^2 - 20*a^2*z^2 + 10*a^4*z^2 + 15*z^4 - 40*a^2*z^4 + 15*a^4*z^4 + 
   7*z^6 - 29*a^2*z^6 + 7*a^4*z^6 + z^8 - 9*a^2*z^8 + a^4*z^8 - a^2*z^10, 
 Knot[14, NonAlternating, 18075] -> a^4 + 2*a^8 - 2*a^10 - a^4*z^2 + 
   4*a^6*z^2 + 11*a^8*z^2 - 7*a^10*z^2 - 3*a^4*z^4 + 8*a^6*z^4 + 13*a^8*z^4 - 
   5*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 18076] -> 
  2 - 2*a^2 + a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 6*z^4 + 
   (4*z^4)/a^2 - 12*a^2*z^4 + 5*a^4*z^4 - 5*z^6 + z^6/a^2 - 6*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 18077] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - a^4*z^2 + 5*a^6*z^2 + 7*a^8*z^2 - 
   5*a^10*z^2 - 3*a^4*z^4 + 9*a^6*z^4 + 9*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 18078] -> 3 - 4*a^2 + 2*a^4 - 3*z^2 + (4*z^2)/a^2 - 
   8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   5*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 18079] -> a^(-16) - 8/a^14 + 8/a^12 + 
   (6*z^2)/a^16 - (48*z^2)/a^14 + (62*z^2)/a^12 + (5*z^4)/a^16 - 
   (72*z^4)/a^14 + (131*z^4)/a^12 + z^6/a^16 - (43*z^6)/a^14 + 
   (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 18080] -> 
  a^(-16) - 7/a^14 + 6/a^12 + a^(-10) + (3*z^2)/a^16 - (25*z^2)/a^14 + 
   (24*z^2)/a^12 + (17*z^2)/a^10 + z^4/a^16 - (25*z^4)/a^14 + (38*z^4)/a^12 + 
   (36*z^4)/a^10 - (9*z^6)/a^14 + (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 18081] -> a^(-16) - 6/a^14 + 4/a^12 + 2/a^10 + 
   (2*z^2)/a^16 - (17*z^2)/a^14 + (10*z^2)/a^12 + (23*z^2)/a^10 + z^4/a^16 - 
   (19*z^4)/a^14 + (22*z^4)/a^12 + (41*z^4)/a^10 - (8*z^6)/a^14 + 
   (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 18082] -> 
  a^(-16) - 6/a^14 + 4/a^12 + 2/a^10 + z^2/a^16 - (11*z^2)/a^14 + 
   (6*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18083] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   z^4/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 18084] -> 
  3 - 4*a^2 + 2*a^4 - 2*z^2 + z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 18085] -> a^(-16) - 5/a^14 + 2/a^12 + 
   3/a^10 + (3*z^2)/a^16 - (20*z^2)/a^14 + (12*z^2)/a^12 + (22*z^2)/a^10 + 
   z^4/a^16 - (21*z^4)/a^14 + (25*z^4)/a^12 + (40*z^4)/a^10 - (8*z^6)/a^14 + 
   (22*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 18086] -> 
  -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - (7*z^2)/a^10 + (16*z^2)/a^8 - 
   (8*z^2)/a^6 + (4*z^2)/a^4 - (5*z^4)/a^10 + (17*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 + (7*z^6)/a^8 - z^6/a^6 + z^8/a^8, 
 Knot[14, NonAlternating, 18087] -> 4 - 6*a^2 + 3*a^4 + 5*z^2 + (3*z^2)/a^2 - 
   22*a^2*z^2 + 11*a^4*z^2 - 2*z^4 + (4*z^4)/a^2 - 25*a^2*z^4 + 9*a^4*z^4 - 
   4*z^6 + z^6/a^2 - 12*a^2*z^6 + 2*a^4*z^6 - z^8 - 2*a^2*z^8, 
 Knot[14, NonAlternating, 18088] -> a^(-16) - 5/a^14 + 3/a^12 + a^(-10) + 
   a^(-8) + z^2/a^16 - (9*z^2)/a^14 + (3*z^2)/a^12 + (14*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^4)/a^14 + (6*z^4)/a^12 + (22*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^14 + (5*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 18089] -> 
  -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 18090] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 - 5*z^2 + z^2/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 
   5*a^4*z^2 - 8*z^4 + z^4/a^4 - 6*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 18091] -> 
  3*a^8 - a^10 - a^14 + 14*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 
   18*a^8*z^4 + 5*a^10*z^4 + a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 2*a^10*z^6 + 
   a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 18092] -> 
  a^6 + 3*a^8 - 3*a^10 + 3*a^4*z^2 + 9*a^8*z^2 - 2*a^10*z^2 - a^12*z^2 + 
   4*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 + a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 18093] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + 4*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 
   a^12*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 18094] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 2*z^2 - 2*a^2*z^2 + 14*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 - z^4 + a^2*z^4 + 11*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 18095] -> 
  a^(-16) - 6/a^14 + 5/a^12 + a^(-8) + z^2/a^16 - (12*z^2)/a^14 + 
   (14*z^2)/a^12 + (3*z^2)/a^10 + (11*z^2)/a^8 - (7*z^4)/a^14 + 
   (15*z^4)/a^12 + (9*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + 
   (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18096] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^10 + 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 18097] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 18098] -> -3/a^6 + 5/a^4 - a^(-2) + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (11*z^2)/a^4 - (2*z^2)/a^2 + (3*z^4)/a^8 - (9*z^4)/a^6 + 
   (8*z^4)/a^4 - z^4/a^2 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18099] -> -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18100] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 + 
   (6*z^4)/a^6 - (21*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18101] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 18102] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 
   (5*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18103] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 18104] -> -2 - 3/a^4 + 6/a^2 - 10*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18105] -> a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 + (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (33*z^4)/a^6 - (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 18106] -> -3 + 8*a^2 - 4*a^4 - 7*z^2 - z^2/a^2 + 
   23*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^2 + 25*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 18107] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 
   2*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 18108] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (15*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (20*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 18109] -> -2 + 6*a^2 - 3*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 18110] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 - z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 18111] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - 11*a^2*z^2 + 6*a^4*z^2 + 6*z^4 - 
   15*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - 2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 18112] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (4*z^2)/a^12 + (13*z^2)/a^10 - 
   (16*z^2)/a^8 + (14*z^2)/a^6 - (2*z^4)/a^12 + (18*z^4)/a^10 - 
   (27*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 18113] -> -a^(-12) + 2/a^6 - (2*z^2)/a^12 + 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 + z^4/a^12 + z^4/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 18114] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18115] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 18116] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + (2*z^2)/a^10 + z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18117] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - 
   z^2/a^12 - z^2/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 + (2*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18118] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18119] -> a^(-8) - 2/a^6 + 2/a^2 - z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^4 - z^4/a^8 - z^4/a^6 + (7*z^4)/a^4 + 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 18120] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18121] -> -a^2 + 5*a^4 - 3*a^6 - 6*a^2*z^2 + 
   15*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 - 7*a^2*z^4 + 18*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 - 2*a^2*z^6 + 10*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 18122] -> a^(-16) - 5/a^14 + 3/a^12 + 
   a^(-10) + a^(-8) + z^2/a^16 - (11*z^2)/a^14 + (7*z^2)/a^12 + 
   (12*z^2)/a^10 + (7*z^2)/a^8 - (7*z^4)/a^14 + (10*z^4)/a^12 + 
   (21*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (12*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18123] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18124] -> 
  -1 + 4*a^2 - 2*a^4 + 5*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 18125] -> 
  1 - a^2 + 2*a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 18126] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 - z^2/a^12 + (2*z^2)/a^10 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + z^4/a^10 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18127] -> -2/a^12 + 3/a^8 - z^2/a^14 - 
   (4*z^2)/a^12 + (3*z^2)/a^10 + (14*z^2)/a^8 - z^4/a^14 + (5*z^4)/a^10 + 
   (18*z^4)/a^8 + z^6/a^12 + (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 18128] -> -1 + a^2 + 4*a^4 - 3*a^6 + 2*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 18129] -> a^6 + 2*a^8 - a^10 - a^12 + 
   5*a^4*z^2 - 3*a^6*z^2 + 9*a^8*z^2 - a^12*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + 
   7*a^8*z^4 + a^10*z^4 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 18130] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 18131] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 
   7*a^4*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 18132] -> -3/a^10 + 3/a^8 + a^(-6) - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 18133] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) + z^2/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 18134] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   5*z^2 + z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18135] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + 
   z^2/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18136] -> -a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - (4*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18137] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 18138] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 18139] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   5*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18140] -> 
  1 - 2/a^2 + 6*a^2 - 4*a^4 + 4*z^2 - (5*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 
   8*z^4 - (4*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 18141] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 5*z^2 + 11*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - z^6 + 7*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 18142] -> 2 - a^(-2) + a^2 - a^4 + 
   5*z^2 - (2*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 18143] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*z^2 + 
   8*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - z^4 + 2*a^2*z^4 + 7*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 18144] -> 2/a^4 - 2/a^2 + a^4 + z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 18145] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 18146] -> a^(-4) - 2*a^2 + 2*a^4 + z^2 - z^2/a^6 - 
   z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 18147] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 17*z^2 - (9*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   20*z^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 18148] -> 
  -a^(-12) + 2/a^6 - (2*z^2)/a^12 + (5*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (6*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18149] -> -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - 
   (8*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 18150] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   5*z^2 + z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 5*z^4 + z^4/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18151] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 - 
   (2*z^4)/a^8 - z^4/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 18152] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 18153] -> 2 - a^2 - a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 18154] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18155] -> 
  -a^(-8) + 2/a^4 - z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18156] -> 4 - 2/a^2 - a^4 + 11*z^2 - z^2/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 10*z^4 - z^4/a^4 + a^2*z^4 - a^4*z^4 + 
   3*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 18157] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 18158] -> 
  a^(-2) - a^2 + a^4 + z^2 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   z^4/a^2 - 8*a^2*z^4 + a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18159] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 - (9*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 18160] -> 
  2*a^2 - 2*a^6 + a^8 - 5*z^2 + 11*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - z^6 + 7*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 18161] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 
   z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 18162] -> 
  a^(-16) - 4/a^14 + 4/a^10 + (2*z^2)/a^16 - (12*z^2)/a^14 - (2*z^2)/a^12 + 
   (28*z^2)/a^10 + z^4/a^16 - (15*z^4)/a^14 + (9*z^4)/a^12 + (45*z^4)/a^10 - 
   (7*z^6)/a^14 + (15*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^14 + (7*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 18163] -> 
  -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - (5*z^2)/a^10 + (12*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (4*z^4)/a^10 + (13*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 + z^8/a^8, 
 Knot[14, NonAlternating, 18164] -> 5 - 8*a^2 + 4*a^4 + 2*z^2 + (4*z^2)/a^2 - 
   20*a^2*z^2 + 10*a^4*z^2 - 4*z^4 + (4*z^4)/a^2 - 22*a^2*z^4 + 8*a^4*z^4 - 
   4*z^6 + z^6/a^2 - 11*a^2*z^6 + 2*a^4*z^6 - z^8 - 2*a^2*z^8, 
 Knot[14, NonAlternating, 18165] -> a^(-16) - 5/a^14 + 4/a^12 - a^(-10) + 
   2/a^8 + z^2/a^16 - (10*z^2)/a^14 + (11*z^2)/a^12 + (13*z^2)/a^8 - 
   (6*z^4)/a^14 + (12*z^4)/a^12 + (6*z^4)/a^10 + (16*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18166] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 
   2/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^2 - z^4/a^10 + 
   (5*z^4)/a^8 - z^4/a^6 + z^6/a^8, Knot[14, NonAlternating, 18167] -> 
  2/a^2 - 4*a^2 + 3*a^4 - 3*z^2 + (2*z^2)/a^4 - 9*a^2*z^2 + 5*a^4*z^2 - 
   5*z^4 + z^4/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 18168] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 18169] -> 
  3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + (6*z^2)/a^10 - (16*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (16*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 18170] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 + (5*z^4)/a^6 - (16*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18171] -> a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + 
   a^(-2) + z^2/a^10 - (11*z^2)/a^8 + (26*z^2)/a^6 - (17*z^2)/a^4 + 
   (6*z^2)/a^2 - (7*z^4)/a^8 + (28*z^4)/a^6 - (27*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18172] -> 
  a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - (6*z^2)/a^12 + (9*z^2)/a^10 + 
   (7*z^2)/a^6 - z^4/a^12 + (9*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 18173] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 18174] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 + z^4/a^6 - (9*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, Knot[14, NonAlternating, 18175] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   4*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 18176] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 - (5*z^4)/a^14 + 
   (27*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18177] -> 1 + 2*z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18178] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) + z^2/a^16 - (9*z^2)/a^14 + (18*z^2)/a^10 + (5*z^2)/a^8 - 
   (6*z^4)/a^14 + (3*z^4)/a^12 + (30*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 18179] -> -a^2 + 4*a^4 - a^6 - a^8 - 
   3*z^2 + 3*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 18180] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18181] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18182] -> 3*a^4 - 2*a^6 + 3*z^2 - z^2/a^4 - 
   3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 18183] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18184] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18185] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 - a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 18186] -> 1 + 2/a^4 - 2/a^2 - 2*a^2 + 
   2*a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 18187] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 
   4*z^2 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 4*z^4 - 
   3*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 18188] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (23*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18189] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18190] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 18191] -> 3*a^2 - 3*a^4 + a^6 - z^2 - 
   z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 18192] -> 
  1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18193] -> -2/a^10 + 2/a^8 + a^(-4) + (4*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18194] -> -a^(-12) - 2/a^10 + 4/a^8 - 
   (4*z^2)/a^12 - z^2/a^10 + (16*z^2)/a^8 - (2*z^4)/a^12 + (2*z^4)/a^10 + 
   (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 18195] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18196] -> a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 
   4/a^8 - (4*z^2)/a^14 + z^2/a^12 + (14*z^2)/a^8 - z^4/a^14 + (9*z^4)/a^10 + 
   (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18197] -> 2 - a^(-2) + a^4 - a^6 + 3*z^2 - 
   z^2/a^4 + 2*a^4*z^2 - a^6*z^2 + z^4 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 18198] -> -a^(-12) - a^(-10) + 2/a^8 + 
   a^(-6) - z^2/a^14 - (2*z^2)/a^12 + (2*z^2)/a^10 + (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 18199] -> 
  -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 18200] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 18201] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   6*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 18202] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18203] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + z^4 + z^4/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 18204] -> 2*a^2 - a^4 - z^2 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 18205] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 - 
   (3*z^2)/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 - (6*z^4)/a^14 + (2*z^4)/a^12 + 
   (30*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18206] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18207] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18208] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 + (3*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   4*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 18209] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 18210] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - z^2/a^2 + a^2*z^2 + 6*a^4*z^2 - a^8*z^2 + z^4 + 
   2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 18211] -> 
  a^(-16) - 5/a^14 + 4/a^12 + a^(-6) - (5*z^2)/a^14 + (7*z^2)/a^12 + 
   (3*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - z^4/a^14 + (5*z^4)/a^12 + 
   (4*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 + z^6/a^10 + z^6/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 18212] -> 1 - 2/a^10 + 4/a^8 - 2/a^6 - 
   z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 + z^4/a^8, 
 Knot[14, NonAlternating, 18213] -> 1 + a^(-4) - 4*a^2 + 3*a^4 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4, Knot[14, NonAlternating, 18214] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 4*z^2 - z^2/a^8 + (15*z^2)/a^6 - 
   (21*z^2)/a^4 + (3*z^2)/a^2 + 4*z^4 + (10*z^4)/a^6 - (25*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (12*z^6)/a^4 - (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 18215] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18216] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18217] -> 
  2/a^14 - 9/a^12 + 8/a^10 - z^2/a^14 - (20*z^2)/a^12 + (34*z^2)/a^10 - 
   (3*z^4)/a^14 - (14*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 18218] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   z^2/a^14 - (10*z^2)/a^12 + (14*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - 
   (4*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 18219] -> 
  2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 6*a^4*z^2 + a^6*z^2 - 10*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - 
   a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 18220] -> 
  3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + (9*z^2)/a^10 - (21*z^2)/a^8 + 
   (10*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (22*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 18221] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 
   a^8*z^2 + 3*a^10*z^2 - a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4, 
 Knot[14, NonAlternating, 18222] -> 2/a^10 - 4/a^8 + 3/a^4 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 18223] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^8 + (15*z^2)/a^6 - (25*z^2)/a^4 + 
   (12*z^2)/a^2 + (14*z^4)/a^6 - (37*z^4)/a^4 + (13*z^4)/a^2 + (6*z^6)/a^6 - 
   (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18224] -> -3/a^12 + 6/a^10 - 6/a^8 + 4/a^6 - 
   (5*z^2)/a^12 + (17*z^2)/a^10 - (17*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 - (27*z^4)/a^8 + (16*z^4)/a^6 + 
   (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 18225] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (7*z^2)/a^6 - (10*z^2)/a^4 + 
   3*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18226] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (2*z^2)/a^12 + (8*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18227] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + 
   z^2/a^16 - (9*z^2)/a^14 + (3*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 - 
   (6*z^4)/a^14 + (7*z^4)/a^12 + (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 18228] -> 5 - 3/a^2 + a^2 - 2*a^4 + 
   12*z^2 - (6*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 18229] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 18230] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 12*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 10*z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18231] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 18232] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 + (7*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 18233] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 - (4*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 18234] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^4 + 
   z^2/a^2 + a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 18235] -> 
  a^2 + a^4 - a^6 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^4*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 18236] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + 
   (6*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + a^4*z^4 - 2*z^6 + z^6/a^4 - (7*z^6)/a^2 - a^2*z^6 - 
   z^8/a^2, Knot[14, NonAlternating, 18237] -> -2/a^6 + a^(-4) + 3/a^2 - 
   a^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 18238] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 5*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18239] -> 2 - a^2 - a^4 + a^6 + 7*z^2 - 
   12*a^2*z^2 + 3*a^6*z^2 + 7*z^4 - 18*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18240] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18241] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^2 + 3*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18242] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + a^6*z^4 - 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 18243] -> -a^(-10) + 2/a^8 - 3/a^4 + 
   3/a^2 - z^2/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 18244] -> 4 + 3/a^4 - 6/a^2 + 6*z^2 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (13*z^2)/a^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 18245] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18246] -> a^(-16) - 3/a^14 + a^(-12) + a^(-8) + 
   a^(-6) - (4*z^2)/a^14 + z^2/a^12 + (4*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (8*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 18247] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + 
   z^2/a^8 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 18248] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (8*z^4)/a^10 - (20*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 18249] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (4*z^2)/a^10 - (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 18250] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18251] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 6*z^2 - 
   7*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - 16*a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 10*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 18252] -> 2 - 2*a^2 + a^4 + 5*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18253] -> a^(-2) - a^4 + a^6 - 2*z^2 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 2*z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18254] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 5*z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 18255] -> 
  4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 12*z^2 - (5*z^2)/a^2 - 7*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 + 11*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18256] -> a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 + 
   z^2/a^16 - (9*z^2)/a^14 + (4*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 - 
   (6*z^4)/a^14 + (7*z^4)/a^12 + (18*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 18257] -> 2 - 2*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18258] -> -4/a^10 + 5/a^8 - z^2/a^14 - z^2/a^12 - 
   (5*z^2)/a^10 + (17*z^2)/a^8 - z^4/a^14 + z^4/a^12 + (19*z^4)/a^8 + 
   z^6/a^12 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 18259] -> -a^(-12) + a^(-10) + 2/a^8 - 5/a^6 + 
   4/a^4 - z^2/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 - (11*z^2)/a^6 + 
   (8*z^2)/a^4 + z^4/a^10 + (5*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18260] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18261] -> 2*a^2 - a^4 - 2*z^2 - z^2/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - a^6*z^4 + z^6 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 18262] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 18263] -> 1 + 3*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 18264] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^12 - 
   z^2/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 + 
   (6*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 18265] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + z^2/a^16 - (3*z^2)/a^14 - 
   (14*z^2)/a^12 + (23*z^2)/a^10 + (5*z^2)/a^8 - (5*z^4)/a^14 - 
   (4*z^4)/a^12 + (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18266] -> -2/a^6 + 3/a^4 + z^2 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18267] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 18268] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (27*z^2)/a^6 - (6*z^2)/a^4 + (2*z^4)/a^10 - (18*z^4)/a^8 + (34*z^4)/a^6 - 
   (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 18269] -> 
  -4 + 10*a^2 - 5*a^4 - 11*z^2 + 28*a^2*z^2 - 13*a^4*z^2 + a^6*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 34*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   21*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 18270] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18271] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   z^2/a^12 + z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^4)/a^10 + (3*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 18272] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 18273] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 - 
   z^2/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18274] -> 3*a^4 - 2*a^6 - 3*a^2*z^2 + 10*a^4*z^2 - 
   3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 18275] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18276] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 18277] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 18278] -> 3*a^8 - 2*a^12 + 3*a^6*z^2 + 11*a^8*z^2 - 
   a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 10*a^8*z^4 + a^10*z^4 + a^12*z^4 + 
   a^6*z^6 + 2*a^8*z^6, Knot[14, NonAlternating, 18279] -> 
  a^4 + a^8 - a^12 + 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - a^4*z^6 - 
   2*a^6*z^6, Knot[14, NonAlternating, 18280] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 18281] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 + 
   z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18282] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   7*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - 
   z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 18283] -> 
  4 - 2/a^2 - a^2 + a^4 - a^6 + 4*z^2 - z^2/a^4 + 2*a^4*z^2 - a^6*z^2 + z^4 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 18284] -> a^(-16) - 4/a^14 + 2/a^12 + a^(-10) + 
   a^(-6) - (5*z^2)/a^14 + (4*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^14 + (4*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 18285] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 18286] -> 
  -a^(-12) + 2/a^6 - z^2/a^14 + (4*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^12 + 
   z^4/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 18287] -> -a^(-12) + a^(-10) + a^(-8) - a^(-6) - 
   a^(-4) + 2/a^2 + z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 18288] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 18289] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18290] -> 3/a^14 - 11/a^12 + 9/a^10 + 
   (3*z^2)/a^16 - (9*z^2)/a^14 - (14*z^2)/a^12 + (32*z^2)/a^10 + 
   (2*z^4)/a^16 - (19*z^4)/a^14 + (8*z^4)/a^12 + (44*z^4)/a^10 - 
   (9*z^6)/a^14 + (18*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 18291] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + 3*z^2 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 18292] -> -1 + a^(-2) + a^2 - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18293] -> a^(-16) - 4/a^14 + 3/a^12 - a^(-10) + 
   a^(-8) + a^(-6) - (5*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + (4*z^4)/a^12 + (7*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 18294] -> -1 + a^(-2) + a^2 - z^2 - 
   z^2/a^4 + z^2/a^2 + a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 18295] -> 1 - a^2 + 3*a^4 - 3*a^6 + 
   a^8 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - z^4 + 2*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18296] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 5*z^2 - 
   (9*z^2)/a^6 + (16*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - (8*z^4)/a^6 + 
   (21*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 18297] -> 
  2 - a^(-2) + a^2 - a^4 + 8*z^2 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   14*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 9*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 18298] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - (4*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 - (4*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 18299] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   4*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18300] -> 3 - a^(-2) - a^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 18301] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 8*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 18302] -> 
  5 - 2/a^2 - 2*a^2 + 13*z^2 - z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 18303] -> 
  2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*a^8*z^4 - a^10*z^4 - 
   a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 18304] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (3*z^2)/a^2 + a^6*z^2 - 5*z^4 + z^4/a^2 - 
   a^2*z^4 - a^4*z^4 - z^6, Knot[14, NonAlternating, 18305] -> 
  -1 + 2/a^2 - a^2 + a^6 - 2*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18306] -> a^4 + 2*a^8 - 2*a^10 + 7*a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - a^12*z^2 + 6*a^4*z^4 - 12*a^6*z^4 + 5*a^8*z^4 + 
   2*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 18307] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*z^2 - 4*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + z^4 - 7*a^2*z^4 + 
   8*a^4*z^4 - 5*a^6*z^4 - 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 18308] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18309] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18310] -> 
  -a^(-4) + 2/a^2 - 8*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 18311] -> 
  1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 18312] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 
   3*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 18313] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 5*z^2 + (3*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 - z^6, 
 Knot[14, NonAlternating, 18314] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 3*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 18315] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 18316] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18317] -> 
  -1 + 4*a^2 - 2*a^4 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 18318] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   2*z^2 + z^2/a^2 - a^2*z^2 + a^6*z^2 - 3*z^4 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18319] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 6*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 18320] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 18321] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   8*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 18322] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 - 3*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18323] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18324] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18325] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18326] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18327] -> a^(-2) - a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 8*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18328] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 18329] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 18330] -> -1 + 2*a^2 + a^4 - a^8 + 2*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18331] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (5*z^4)/a^8 + 
   (14*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 18332] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (6*z^2)/a^10 - (9*z^2)/a^8 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (7*z^4)/a^10 - (16*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 18333] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 18334] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 2*z^2 + z^2/a^2 - 10*a^2*z^2 + 7*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 4*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 18335] -> 
  -3/a^8 + 4/a^6 - z^2/a^12 + (6*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - 
   (3*z^2)/a^4 + (6*z^4)/a^10 - (22*z^4)/a^8 + (28*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^10 - (12*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 18336] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 18337] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + (3*z^4)/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 18338] -> -a^(-12) + 2/a^6 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - 
   (25*z^4)/a^8 + (16*z^4)/a^6 + (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 18339] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   z^2/a^16 - (7*z^2)/a^14 - (10*z^2)/a^12 + (31*z^2)/a^10 - (5*z^4)/a^14 - 
   (9*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 18340] -> 
  3*a^6 - a^8 - a^10 - 6*a^4*z^2 + 21*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 - 
   11*a^4*z^4 + 34*a^6*z^4 - 11*a^8*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 
   6*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 18341] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18342] -> -4/a^12 + 4/a^10 + a^(-8) - z^2/a^14 - 
   (9*z^2)/a^12 + (15*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + 
   (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 18343] -> 4*a^6 - 3*a^8 - 2*a^2*z^2 + 
   2*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 18344] -> 2/a^4 - 2/a^2 + a^4 + z^2 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 18345] -> -a^4 + 6*a^6 - 4*a^8 - 4*a^2*z^2 + 
   2*a^4*z^2 + 19*a^6*z^2 - 10*a^8*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 22*a^6*z^4 - 
   8*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 18346] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (16*z^2)/a^4 + (22*z^2)/a^2 - 9*z^4 + (5*z^4)/a^6 - (20*z^4)/a^4 + 
   (30*z^4)/a^2 - 5*z^6 + z^6/a^6 - (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18347] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 
   3*z^4 - 4*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 18348] -> 
  2 - a^2 - a^4 + a^6 + z^2 + z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 18349] -> -a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^2 + (7*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^2 + z^4/a^10 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 18350] -> 
  -a^(-12) + a^(-8) + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + (5*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18351] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (3*z^2)/a^12 + (11*z^2)/a^10 + (10*z^2)/a^8 - 
   z^4/a^14 - z^4/a^12 + (15*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 18352] -> 
  a^4 + a^6 - a^10 - 3*a^2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 
   4*a^2*z^4 + 8*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 18353] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) + (3*z^2)/a^10 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 18354] -> -3/a^12 + 2/a^10 + 2/a^8 - 
   z^2/a^14 - (3*z^2)/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 18355] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 18356] -> a^(-6) - a^(-2) + a^4 - z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 18357] -> 4*a^6 - 3*a^8 - 2*z^2 + a^2*z^2 + 
   3*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + 
   7*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 18358] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18359] -> 
  4 - 2/a^2 - a^4 + 7*z^2 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 18360] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (6*z^4)/a^6 - (24*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18361] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + (4*z^4)/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18362] -> -a^(-8) + 2/a^4 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - 
   (17*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18363] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (13*z^2)/a^12 + (32*z^2)/a^10 - (5*z^4)/a^14 - 
   (10*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 18364] -> 
  4*a^6 - 3*a^8 - 5*a^4*z^2 + 21*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 
   10*a^4*z^4 + 32*a^6*z^4 - 14*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 
   7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 18365] -> a^4 + 2*a^6 - 2*a^8 - 3*z^2 + 5*a^2*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18366] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 3*z^2 + 
   a^2*z^2 + 13*a^4*z^2 - 9*a^6*z^2 + a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 
   12*a^4*z^4 - 6*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 18367] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   8*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 18368] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 3*a^2*z^2 - 
   a^4*z^2 + 23*a^6*z^2 - 14*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   25*a^6*z^4 - 10*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 18369] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 - 2*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 - 
   z^4 + 8*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 18370] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 
   2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 18371] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + (9*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18372] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (14*z^2)/a^12 + (32*z^2)/a^10 - (5*z^4)/a^14 - 
   (10*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 18373] -> 
  5*a^6 - 5*a^8 + a^10 - 4*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 
   10*a^4*z^4 + 31*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 
   7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 18374] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 18375] -> 
  -a^(-8) + 2/a^4 + 2*z^2 + (3*z^2)/a^6 - z^2/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18376] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - z^2/a^14 - (10*z^2)/a^12 + 
   (14*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + (18*z^4)/a^10 + 
   (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18377] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   9*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 18378] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 18379] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 18380] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + 
   z^2/a^10 + z^2/a^8 - (4*z^2)/a^6 - z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2, Knot[14, NonAlternating, 18381] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 
   z^2 + z^2/a^10 + z^2/a^8 - (5*z^2)/a^6 - z^4/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[14, NonAlternating, 18382] -> 
  -4/a^8 + 6/a^6 - a^(-4) + (3*z^2)/a^10 - (15*z^2)/a^8 + (24*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^4)/a^10 - (18*z^4)/a^8 + (33*z^4)/a^6 - (10*z^4)/a^4 - 
   (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 18383] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 8*z^2 - (6*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   10*z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 18384] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 18385] -> -3/a^8 + 4/a^6 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 18386] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 18387] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + 
   (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 18388] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 18389] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + (4*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^4 + (3*z^2)/a^2 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 18390] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 18391] -> -1 - 2/a^10 + 3/a^8 - 2/a^6 + a^(-4) + 
   2/a^2 - 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 + z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 18392] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^4 - (2*z^4)/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 18393] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 
   z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 18394] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^8, Knot[14, NonAlternating, 18395] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 18396] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 18397] -> a^2 + a^6 - a^8 - 2*z^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18398] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + 
   (17*z^4)/a^6 - (33*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18399] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   8*z^2 + z^2/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18400] -> a^(-16) - 5/a^14 + 2/a^12 + 3/a^10 + 
   z^2/a^16 - (10*z^2)/a^14 + (6*z^2)/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 - 
   (6*z^4)/a^14 + (8*z^4)/a^12 + (19*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^14 + 
   (5*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 18401] -> -2/a^10 + 4/a^8 - 4/a^6 + 
   3/a^4 - (3*z^2)/a^10 + (8*z^2)/a^8 - (8*z^2)/a^6 + (12*z^2)/a^4 - 
   (4*z^2)/a^2 - z^4/a^10 + (5*z^4)/a^8 - (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18402] -> 4 - 6*a^2 + 3*a^4 + 9*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 8*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   11*a^2*z^4 + 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18403] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18404] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   13*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18405] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 18406] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 
   2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 18407] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 
   3*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 
   10*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18408] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 18409] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 18410] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 
   2*a^2 - 10*z^2 - z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 10*z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 18411] -> 
  a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   (2*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18412] -> -2/a^10 + 4/a^8 - 6/a^6 + 7/a^4 - 2/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (9*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 - 
   z^4/a^10 + (5*z^4)/a^8 - (5*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18413] -> -1 - 2/a^10 + 3/a^8 - a^(-6) - a^(-4) + 
   3/a^2 - 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   z^4 + z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18414] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 18415] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 18416] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18417] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (4*z^2)/a^14 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - z^4/a^12 + (14*z^4)/a^10 + 
   (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18418] -> 2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 18419] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 4*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18420] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   4*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 18421] -> 
  a^(-16) - 5/a^14 + 3/a^12 + a^(-10) + a^(-8) - (5*z^2)/a^14 + 
   (5*z^2)/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^14 + 
   (4*z^4)/a^12 + (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 + 
   (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 18422] -> 
  -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 + z^4/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18423] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 18424] -> -3/a^8 + 4/a^6 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - 
   (26*z^4)/a^8 + (16*z^4)/a^6 + (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 18425] -> -a^(-4) + 2/a^2 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18426] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (3*z^2)/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - (2*z^4)/a^12 + 
   (16*z^4)/a^10 - (23*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 18427] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + 
   (2*z^2)/a^10 + z^2/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 18428] -> 
  -1 - a^(-6) + 3/a^2 + 2*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 18429] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 + (2*z^2)/a^6 + z^2/a^4 - (10*z^2)/a^2 + 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 18430] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) - (5*z^2)/a^14 + (2*z^2)/a^12 + (8*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (10*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 18431] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*z^4 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 18432] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18433] -> 1 - z^2/a^4 + z^2/a^2 + a^4*z^2 - 
   a^6*z^2 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 18434] -> 1 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18435] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^10 - 
   (5*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18436] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18437] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18438] -> -a^(-4) + 2/a^2 - 7*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 19*z^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + 
   (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 18439] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 18440] -> 
  -a^(-4) + 2/a^2 + z^2/a^2 - 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18441] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + 
   z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18442] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   z^2/a^14 - (10*z^2)/a^12 + (15*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - 
   (4*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 18443] -> 
  5*a^6 - 5*a^8 + a^10 - 2*a^2*z^2 + 3*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 18444] -> a^2 + a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 
   4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 18445] -> 
  -2/a^6 + 3/a^4 + z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 + z^4/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18446] -> 
  a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 18447] -> 
  -2/a^6 + 3/a^4 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18448] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18449] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - 
   (2*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 18450] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18451] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (3*z^4)/a^10 + 
   (10*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 18452] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^10 + z^2/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^4)/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^10 + (4*z^6)/a^8 - (2*z^6)/a^6 + z^8/a^8, 
 Knot[14, NonAlternating, 18453] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 13*z^2 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 18*z^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18454] -> -2/a^12 + a^(-10) + a^(-8) + a^(-6) - 
   (4*z^2)/a^12 + (11*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (2*z^4)/a^12 + 
   (17*z^4)/a^10 - (22*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 18455] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (6*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18456] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 2*z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 + z^4 - 12*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18457] -> 4 - 2/a^2 - a^4 + 7*z^2 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18458] -> -2/a^6 + 3/a^4 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 18459] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[14, NonAlternating, 18460] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (5*z^2)/a^8 + (19*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^8 + (20*z^4)/a^6 - (30*z^4)/a^4 + 
   (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18461] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 2*z^2 + 9*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + 
   3*a^2*z^4 + 8*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 18462] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 
   29*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 20*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 18463] -> -a^(-12) + 2/a^6 - (4*z^2)/a^12 + 
   (10*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 - (2*z^4)/a^12 + 
   (17*z^4)/a^10 - (22*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 18464] -> 1 - 2/a^4 + 3/a^2 - a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 18465] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - 
   a^(-2) + z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - (4*z^4)/a^8 + (19*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + 
   (8*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18466] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 - (8*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   18*z^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 18467] -> 
  3 - 3/a^2 + 5*a^2 - 4*a^4 + 15*z^2 - (10*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 21*z^4 - (8*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + 11*z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18468] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 
   3*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 18469] -> 3 - 2/a^2 + 2*a^4 - 2*a^6 + 7*z^2 - 
   (5*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 18470] -> 4*a^6 - 3*a^8 + 2*a^6*z^2 + 12*a^8*z^2 - 
   8*a^10*z^2 - 6*a^6*z^4 + 31*a^8*z^4 - 12*a^10*z^4 - 5*a^6*z^6 + 
   24*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^8*z^10, 
 Knot[14, NonAlternating, 18471] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 10*z^2 - 
   15*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 15*z^4 - 36*a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 + 7*z^6 - 28*a^2*z^6 + a^4*z^6 + a^6*z^6 + z^8 - 9*a^2*z^8 - 
   a^2*z^10, Knot[14, NonAlternating, 18472] -> 
  2*a^4 - a^6 + a^8 - a^10 + a^4*z^2 + a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 - 
   2*a^4*z^4 + 5*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 18473] -> 3 - 3*a^2 + a^6 + 2*z^2 + (3*z^2)/a^2 - 
   13*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (4*z^4)/a^2 - 15*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 - 7*a^2*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 18474] -> 1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18475] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18476] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + a^2*z^2 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18477] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 18478] -> 
  1 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 18479] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 2*z^6, 
 Knot[14, NonAlternating, 18480] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18481] -> 4*a^6 - 3*a^8 - a^4*z^2 + 9*a^6*z^2 + 
   a^8*z^2 - 3*a^10*z^2 - 2*a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 18482] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - a^2*z^2 - 
   a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 18483] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 18484] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + z^2 - 7*a^2*z^2 + 9*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 18485] -> a^(-8) - 2/a^6 + 2/a^2 - 
   z^2/a^6 + z^2/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 18486] -> 5 + a^(-4) - 4/a^2 - a^4 + 
   8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 18487] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18488] -> a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 + (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (33*z^4)/a^6 - (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 18489] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 + z^4/a^10 - 
   (13*z^4)/a^8 + (22*z^4)/a^6 - (7*z^4)/a^4 - (6*z^6)/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 18490] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18491] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (24*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 18492] -> a^(-6) - 3/a^4 + 3/a^2 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18493] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 18494] -> 3 + a^(-6) - 2/a^4 - a^2 + 
   6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 18495] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 
   5*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 18496] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18497] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (4*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 18498] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + 
   z^2/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + (2*z^4)/a^12 - (12*z^4)/a^8 + 
   (11*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 18499] -> 
  -a^(-4) + 2/a^2 - 8*z^2 - (8*z^2)/a^4 + (17*z^2)/a^2 - 12*z^4 - 
   (12*z^4)/a^4 + (32*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18500] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 18501] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (24*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^10 - (16*z^4)/a^8 + 
   (35*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 18502] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   (3*z^2)/a^12 + (11*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + 
   (15*z^4)/a^10 - (25*z^4)/a^8 + (16*z^4)/a^6 + (7*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 18503] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + 
   (5*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 18504] -> -a^(-12) - a^(-10) + 3/a^8 - a^(-6) + 
   a^(-4) - z^2/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18505] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - 
   z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^8 - 
   z^4/a^4, Knot[14, NonAlternating, 18506] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 
   4*z^2 + z^2/a^4 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 18507] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 18508] -> -a^(-12) + a^(-8) + a^(-4) + 
   (3*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 18509] -> -2/a^12 + 3/a^8 - z^2/a^14 - 
   (3*z^2)/a^12 + (4*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + (5*z^4)/a^10 + 
   (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 18510] -> 2*a^4 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 18511] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - (22*z^4)/a^4 + 
   (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18512] -> 
  a^4 + a^6 - a^10 - 4*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 - 
   6*a^4*z^4 + 19*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 18513] -> 2 - a^2 - a^4 + a^6 - 6*z^2 + 
   (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 18514] -> a^(-16) - 4/a^14 + 4/a^10 + z^2/a^16 - 
   (7*z^2)/a^14 - (5*z^2)/a^12 + (23*z^2)/a^10 + (4*z^2)/a^8 - (5*z^4)/a^14 - 
   z^4/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 18515] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 + (5*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18516] -> 5 - 8*a^2 + 4*a^4 + 4*z^2 + z^2/a^4 - 
   16*a^2*z^2 + 7*a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 13*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18517] -> -2 + 6*a^2 - 3*a^4 - (3*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18518] -> a^(-2) - a^4 + a^6 - z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 18519] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 + 
   z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + z^6, Knot[14, NonAlternating, 18520] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^8 - (10*z^4)/a^4 - z^4/a^2 - 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 18521] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + (4*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 18522] -> 7 - 4/a^2 - 2*a^4 + 15*z^2 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^4*z^2 + 12*z^4 - z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 18523] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - 
   z^2/a^10 + (6*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18524] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 
   2/a^2 + z^2/a^10 + (5*z^2)/a^8 - (11*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 18525] -> 
  3 - 2/a^2 + a^2 - a^6 + 6*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^6*z^2 + 4*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 18526] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 18527] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 - z^2/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 
   3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18528] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18529] -> 4*a^6 - 3*a^8 - 2*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 
   a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 18530] -> -3 + 8*a^2 - 4*a^4 - 4*z^2 - 
   (2*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + 3*z^4 - (3*z^4)/a^2 + 15*a^2*z^4 - 
   5*a^4*z^4 + 4*z^6 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18531] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 
   10*z^2 + z^2/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 18532] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^8 - z^4/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 18533] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   z^4 - z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2, 
 Knot[14, NonAlternating, 18534] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 - 12*z^4 + z^4/a^6 - 
   (17*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18535] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 + z^4/a^10 - (11*z^4)/a^8 + (19*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 18536] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18537] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 - 9*z^4 - (10*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18538] -> -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18539] -> 1 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 18540] -> 
  1 - 4*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 - 8*z^4 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18541] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^6 + z^2/a^2 - 3*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18542] -> 
  2*a^2 - a^4 - 3*z^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18543] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 18544] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   11*z^4 + (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 18545] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^12 + (5*z^4)/a^10 - (13*z^4)/a^8 + 
   (11*z^4)/a^6 + z^6/a^12 - z^6/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 18546] -> 
  -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 18547] -> 2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 18548] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 18549] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - 
   z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 + (4*z^2)/a^4 + (4*z^4)/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18550] -> a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 
   3/a^8 - (4*z^2)/a^14 - (2*z^2)/a^12 + (7*z^2)/a^10 + (11*z^2)/a^8 - 
   z^4/a^14 - z^4/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 18551] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 5*a^4*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 18552] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 18553] -> 
  2 - a^(-2) + a^2 - a^4 + 7*z^2 - (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   9*z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18554] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^12 + 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18555] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 18556] -> 2/a^10 - 9/a^8 + 10/a^6 - 
   2/a^4 + (2*z^2)/a^10 - (16*z^2)/a^8 + (26*z^2)/a^6 - (6*z^2)/a^4 - 
   z^4/a^10 - (7*z^4)/a^8 + (23*z^4)/a^6 - (6*z^4)/a^4 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 18557] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 5*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - a^2*z^4 + z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18558] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (18*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^10 - (11*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 18559] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (19*z^2)/a^4 + (18*z^2)/a^2 - 8*z^4 + (6*z^4)/a^6 - (24*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18560] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (6*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18561] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 
   2*z^2 + z^2/a^8 + z^2/a^4 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 18562] -> -1 - a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) + a^2 - 2*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18563] -> a^(-16) - 3/a^14 + 2/a^12 - 2/a^10 + 
   2/a^8 + a^(-6) - (4*z^2)/a^14 + z^2/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (8*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 18564] -> 9 - 4/a^2 - 4*a^2 + 18*z^2 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 15*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 18565] -> -4/a^8 + 8/a^6 - 5/a^4 + 
   2/a^2 - (4*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - 
   z^4/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + (12*z^4)/a^2 + (7*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18566] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 4*z^4 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18567] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 - 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 18568] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (14*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^12 + (14*z^4)/a^10 - (26*z^4)/a^8 + 
   (16*z^4)/a^6 + (7*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 18569] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 18570] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + 
   2*a^4 - a^6 + 7*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   4*z^4 - 2*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 18571] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^8 - (9*z^4)/a^4 - 
   z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 18572] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 18573] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 18574] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18575] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18576] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18577] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 - 
   z^2/a^6 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 18578] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18579] -> -2 + 2/a^2 + a^4 - 12*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18580] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   z^2/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 18581] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   z^2/a^12 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18582] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 18583] -> 2*a^4 - a^8 - z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 18584] -> 
  3*a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 6*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 18585] -> 3 + a^(-4) - 3/a^2 + a^4 - a^6 + 3*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + 2*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 18586] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18587] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 3*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18588] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - (4*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18589] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18590] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 22*z^2 - 
   (4*z^2)/a^4 + (19*z^2)/a^2 + 8*a^2*z^2 - 33*z^4 - z^4/a^4 + (18*z^4)/a^2 + 
   12*a^2*z^4 - 24*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 18591] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - z^2/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - 
   z^6/a^10 + (2*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 18592] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - (29*z^4)/a^4 + 
   (11*z^4)/a^2 + (7*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 18593] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 + 3*z^4 + (5*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18594] -> -a^(-8) + 2/a^4 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18595] -> -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 + 
   z^2/a^2 + 18*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + 32*a^2*z^4 - 12*a^4*z^4 - 
   6*z^6 + 24*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 18596] -> -3 + a^(-4) + 4*a^2 - a^4 - 3*z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 4*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18597] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 8*z^4 - (8*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18598] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 18599] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (24*z^2)/a^2 - 12*z^4 + z^4/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18600] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + z^4/a^10 - (10*z^4)/a^8 + 
   (19*z^4)/a^6 - (6*z^4)/a^4 - (6*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 18601] -> -1 + a^(-2) + a^2 - 12*z^2 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18602] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 18603] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 3*z^4 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18604] -> 
  -a^(-10) + a^(-8) + a^(-2) + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18605] -> -2/a^12 + 3/a^8 - (5*z^2)/a^12 + 
   (2*z^2)/a^10 + (15*z^2)/a^8 - (2*z^4)/a^12 + (3*z^4)/a^10 + (19*z^4)/a^8 + 
   z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 18606] -> 
  2*a^4 - a^8 - 3*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 4*a^2*z^4 + 
   11*a^4*z^4 - a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 18607] -> 1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 18608] -> -1 + 5*a^2 - 4*a^4 + a^6 + 
   5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18609] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18610] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18611] -> 1 - 2/a^4 + 3/a^2 - a^2 - 3*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18612] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   z^2/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18613] -> -a^(-12) + 2/a^6 + (2*z^2)/a^10 + 
   (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 18614] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) + 
   z^2/a^16 - (4*z^2)/a^14 - (11*z^2)/a^12 + (22*z^2)/a^10 + (5*z^2)/a^8 - 
   (5*z^4)/a^14 - (3*z^4)/a^12 + (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 18615] -> -3/a^10 + 3/a^8 + a^(-6) - 
   z^2/a^12 + (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18616] -> -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18617] -> -a^(-6) + a^(-4) + a^(-2) - 6*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 - (9*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18618] -> -4 - 3/a^4 + 7/a^2 + a^2 - 21*z^2 - 
   (4*z^2)/a^4 + (19*z^2)/a^2 + 8*a^2*z^2 - 33*z^4 - z^4/a^4 + (18*z^4)/a^2 + 
   12*a^2*z^4 - 24*z^6 + (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 18619] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18620] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18621] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + 2*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18622] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   5*z^4 - z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 18623] -> 1 + 4*z^2 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18624] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 18625] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18626] -> a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 18627] -> 3 - a^(-2) - a^2 + 4*z^2 - 
   (2*z^2)/a^2 - a^4*z^2 + 4*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18628] -> 2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - 
   (18*z^2)/a^8 + (25*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^10 - (17*z^4)/a^8 + 
   (35*z^4)/a^6 - (11*z^4)/a^4 - (7*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 18629] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18630] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 8*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18631] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) - z^2/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 18632] -> -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + 
   21*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 16*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18633] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18634] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 + z^4/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 18635] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 + 2*z^2 + (4*z^2)/a^8 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 18636] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - z^2/a^14 - (3*z^2)/a^12 + 
   (4*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + (5*z^4)/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 18637] -> a^2 + a^6 - a^8 + 2*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - z^4 + 3*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 18638] -> 
  1 + 3*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 18639] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + 
   z^2/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 8*z^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 18640] -> 
  a^(-6) - a^(-4) + a^2 + 3*z^2 - (3*z^2)/a^4 - z^2/a^2 - 2*a^4*z^2 + 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 18641] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18642] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18643] -> a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18644] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 10*z^2 + z^2/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 18645] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 18646] -> -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18647] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   z^2 - 3*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 18648] -> -2 + a^(-2) + 6*a^2 - 7*a^4 + 3*a^6 - 
   6*z^2 + z^2/a^2 + 14*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - 3*z^4 + 
   11*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 18649] -> -8 + 4/a^2 + 6*a^2 - a^4 - 
   18*z^2 + (6*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18650] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 18651] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 18652] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 18653] -> 
  2*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 18654] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (11*z^2)/a^2 - z^4 - (6*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 18655] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + 7*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18656] -> 2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^2 - 
   8*a^2*z^2 + 4*a^4*z^2 - z^4 + z^4/a^2 - 7*a^2*z^4 + 2*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 18657] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 
   z^6/a^8 + z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18658] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 18659] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 18660] -> -a^(-10) - a^(-8) + 3/a^6 + 
   z^2/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^4)/a^12 - 
   (4*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 18661] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18662] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 + (9*z^2)/a^6 + (3*z^4)/a^12 - (5*z^4)/a^10 - 
   z^4/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 18663] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 18664] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 18665] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18666] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 18667] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - (2*z^2)/a^10 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 18668] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - 2*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 - 
   a^10*z^2 - a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 18669] -> 4 - a^(-4) - 2*a^2 + 10*z^2 - 
   (2*z^2)/a^4 - 5*a^2*z^2 + 8*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   2*z^6 + z^6/a^2, Knot[14, NonAlternating, 18670] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18671] -> 
  3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 18672] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   2*z^2 - (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 18673] -> 5 + a^(-4) - 4/a^2 - a^4 + 
   9*z^2 + z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 18674] -> -2/a^6 + 3/a^4 - 2*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 18675] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 - z^4/a^4 + 
   2*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18676] -> 3*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 18677] -> -1 + a^(-2) + a^2 - 6*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 18678] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 18679] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - 
   6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18680] -> a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 18681] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 18682] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18683] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 18684] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + z^2/a^12 - (5*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 18685] -> 1 + a^(-10) - a^(-8) + a^(-6) - 3/a^4 + 
   2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 18686] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   5*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 18687] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 18688] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18689] -> -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 18690] -> -2*a^2 + 7*a^4 - 4*a^6 - 2*z^2 - 
   2*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 
   12*a^4*z^4 - a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 18691] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 18692] -> 3*a^6 - a^8 - a^10 - 2*a^4*z^2 + 
   9*a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 + 9*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 18693] -> a^(-10) - a^(-8) + a^(-6) - 
   4/a^4 + 4/a^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 18694] -> a^4 + a^6 - a^10 + 3*a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 18695] -> 5 - 3/a^2 + a^2 - 2*a^4 + 
   14*z^2 - (8*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 18*z^4 - (7*z^4)/a^2 + 
   6*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   2*z^8 + a^2*z^8, Knot[14, NonAlternating, 18696] -> 
  3 - 3/a^2 + 5*a^2 - 4*a^4 + 15*z^2 - (10*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 21*z^4 - (8*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + 11*z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18697] -> a^4 + a^6 - a^10 - a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 18698] -> 1 - a^2 + 3*a^6 - 2*a^8 - z^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 18699] -> 
  a^2 + a^6 - a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + 5*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 18700] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 18701] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 18702] -> 2 - a^(-8) - a^(-6) + 6/a^4 - 
   5/a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18703] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18704] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - 
   (2*z^2)/a^4 + z^2/a^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18705] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^12 - z^2/a^10 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 18706] -> -2 + 7*a^2 - 5*a^4 + a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18707] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 18708] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18709] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 10*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18710] -> -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 
   20*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, Knot[14, NonAlternating, 18711] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 15*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 
   11*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 18712] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^14 - (6*z^2)/a^12 + (15*z^2)/a^10 - 
   (22*z^2)/a^8 + (16*z^2)/a^6 - (4*z^4)/a^12 + (18*z^4)/a^10 - 
   (26*z^4)/a^8 + (14*z^4)/a^6 + (6*z^6)/a^10 - (14*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^8)/a^8, Knot[14, NonAlternating, 18713] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 18714] -> -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 
   3*z^2 + z^2/a^8 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 18715] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18716] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18717] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 
   2/a^4 - (5*z^2)/a^10 + (12*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18718] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 
   4/a^2 - z^2/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 18719] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18720] -> 
  a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - (5*z^2)/a^10 + (12*z^2)/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 18721] -> -2/a^10 + 3/a^8 - 2/a^4 + 
   2/a^2 - z^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^4 + (3*z^2)/a^2 - z^4 + 
   z^4/a^8 - z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 18722] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^10 + (6*z^2)/a^8 - (10*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 18723] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   3*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 18724] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 18725] -> -a^(-6) - a^(-4) + 4/a^2 - a^2 + 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 18726] -> a^(-2) - 3*a^2 + 4*a^4 - a^8 - 
   z^2 - 3*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 18727] -> -1 - 2/a^4 + 4/a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 18728] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   6*z^2 - z^2/a^6 + (4*z^2)/a^4 + 6*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18729] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 18730] -> 3 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18731] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18732] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   3*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 18733] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 18734] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - 9*z^4 + z^4/a^2 + 13*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   5*z^6 + 13*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 18735] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18736] -> -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18737] -> a^(-10) - a^(-8) + 2/a^6 - 6/a^4 + 
   5/a^2 + (3*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 18738] -> 2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 18739] -> 4*a^6 - 3*a^8 - 2*a^4*z^2 + 10*a^6*z^2 + 
   2*a^8*z^2 - 4*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 + 8*a^8*z^4 - 4*a^10*z^4 - 
   a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 18740] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 18741] -> -4 - 2/a^4 + 6/a^2 + a^4 - 8*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18742] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + 
   7*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   5*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 18743] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 3*a^2*z^2 + 
   2*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 13*a^6*z^4 - 
   5*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 18744] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 - z^2 - 
   2*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - z^4 + a^2*z^4 + 
   6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 18745] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 + a^6*z^2 - 9*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 18746] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   a^6*z^2 + 3*z^4 - (3*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 18747] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 13*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 18748] -> 
  -a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 5/a^2 + (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^8 - z^4/a^6 - (12*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 18749] -> 
  7*a^6 - 10*a^8 + 5*a^10 - a^12 - 2*a^4*z^2 + 19*a^6*z^2 - 20*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 - 4*a^4*z^4 + 19*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - 
   2*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 18750] -> 2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18751] -> 2*a^4 - a^8 + a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 - a^10*z^2 - a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 18752] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 6*a^2*z^2 + 9*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 18753] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - 
   a^(-4) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 18754] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (8*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^8 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18755] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 18756] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18757] -> 5 - 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 
   12*z^2 - (5*z^2)/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 11*z^4 - 
   (2*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 18758] -> 
  2 - 5*a^2 + 6*a^4 - a^6 - a^8 + z^2 - 8*a^2*z^2 + 12*a^4*z^2 - 2*a^8*z^2 - 
   3*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 18759] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   4*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18760] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   2*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 18761] -> 
  -1 + a^(-2) - a^2 + 3*a^4 - a^8 - 2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   a^2*z^4 + 2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 18762] -> 
  2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   7*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 18763] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 18764] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - z^2/a^10 + (8*z^2)/a^8 - 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 + (6*z^4)/a^8 - (10*z^4)/a^6 - 
   (12*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 18765] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 18766] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18767] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 - a^2*z^4 - 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18768] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18769] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^12 + (6*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^4)/a^10 + (4*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 18770] -> 
  -a^(-12) + a^(-10) + a^(-8) - 3/a^6 + 3/a^4 - z^2/a^12 + (3*z^2)/a^10 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18771] -> 3*a^4 - 2*a^6 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18772] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 4*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 18773] -> 2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18774] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 2*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - z^4 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18775] -> -2/a^10 + 4/a^8 - 6/a^6 + 7/a^4 - 2/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (9*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 - 
   z^4/a^10 + (5*z^4)/a^8 - (5*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 18776] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 18777] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + z^2/a^10 + 
   (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + (6*z^4)/a^8 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18778] -> 3 - a^(-4) - a^4 + 9*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18779] -> 2*a^4 - a^8 - a^2*z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 18780] -> 
  -2 + a^(-2) + 3*a^2 - a^4 + z^2 - z^2/a^4 + a^4*z^2 - a^6*z^2 + 6*z^4 - 
   4*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18781] -> -a^(-4) + 2/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 18782] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + a^2*z^2 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18783] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 18784] -> 
  a^(-2) - a^6 + a^8 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 5*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 18785] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 
   2*a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 18786] -> 
  a^(-6) - a^(-2) + a^4 + 4*z^2 + z^2/a^6 - (8*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 7*z^4 + z^4/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 18787] -> 
  3*a^8 + a^10 - 4*a^12 + a^14 + 3*a^6*z^2 + 9*a^8*z^2 + 4*a^10*z^2 - 
   4*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 8*a^8*z^4 + 4*a^10*z^4 + a^12*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 18788] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 18789] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 18790] -> 2 - 2*a^2 + a^4 + 3*z^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 18791] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18792] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^10 + (4*z^4)/a^8 - (4*z^4)/a^4 + z^4/a^2 + z^6/a^8 - z^6/a^4, 
 Knot[14, NonAlternating, 18793] -> -3/a^8 + 4/a^6 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (4*z^2)/a^4 - (9*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 18794] -> 
  -6 + a^(-6) - 9/a^4 + 15/a^2 - 15*z^2 + z^2/a^6 - (18*z^2)/a^4 + 
   (38*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + (43*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18795] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + (10*z^4)/a^6 - 
   (24*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18796] -> a^(-10) - 2/a^8 + 5/a^6 - 9/a^4 + 6/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 18797] -> 3 + a^(-10) - a^(-8) + a^(-4) - 3/a^2 + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^4 - (6*z^2)/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 18798] -> -a^(-12) + 7/a^10 - 12/a^8 + 5/a^6 + 
   2/a^4 - z^2/a^12 + (13*z^2)/a^10 - (25*z^2)/a^8 + (8*z^2)/a^6 + 
   (5*z^2)/a^4 + (9*z^4)/a^10 - (23*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 18799] -> a^(-14) - 3/a^12 - a^(-10) + 
   4/a^8 - (6*z^2)/a^12 + z^2/a^10 + (15*z^2)/a^8 - (2*z^4)/a^12 + 
   (3*z^4)/a^10 + (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 18800] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 2*a^2*z^2 + 
   8*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 10*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 18801] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (6*z^2)/a^14 - (7*z^2)/a^12 + (16*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^4)/a^14 - z^4/a^12 + (27*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 18802] -> 
  1 - 3/a^6 + 4/a^4 - a^2 + 3*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 4*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 18803] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   5*z^2 + z^2/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18804] -> 
  -a^(-12) + 4/a^8 - 6/a^6 + 4/a^4 - z^2/a^12 + z^2/a^10 + (9*z^2)/a^8 - 
   (12*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^10 + (6*z^4)/a^8 - (12*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 18805] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 6*z^2 + 
   (8*z^2)/a^4 - (14*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 - (12*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18806] -> -3/a^8 + 4/a^6 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 18807] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + z^2/a^10 + (5*z^2)/a^8 - 
   (11*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 18808] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18809] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18810] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + (10*z^4)/a^6 - 
   (24*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18811] -> -3/a^8 + 4/a^6 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (4*z^2)/a^4 - (9*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 18812] -> 
  -6 + a^(-6) - 9/a^4 + 15/a^2 - 15*z^2 + z^2/a^6 - (18*z^2)/a^4 + 
   (38*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + (43*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 18813] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 + (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 18814] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 18815] -> -1 - a^(-6) + 3/a^2 - 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18816] -> 3 + a^(-6) - 2/a^2 - 2*a^2 + a^6 + 
   4*z^2 - (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 18817] -> 
  2/a^10 - 4/a^8 + a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 18818] -> -1 - a^(-6) + 3/a^2 - 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 18819] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 6*z^2 + 
   (8*z^2)/a^4 - (14*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 - (12*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18820] -> -3/a^8 + 4/a^6 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 18821] -> 
  -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 5*z^2 + z^2/a^8 - (8*z^2)/a^6 + 
   (9*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 18822] -> 2 - 3*a^2 + 2*a^4 + a^6 - 
   a^8 - z^2 + 3*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   10*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - 
   6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18823] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 18824] -> 2 + a^(-4) - 2/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 18825] -> 
  -8 + 4/a^2 + 6*a^2 - a^4 - 13*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 18826] -> 
  2 + a^2 - 6*a^4 + 5*a^6 - a^8 - z^2 + 5*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18827] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 16*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 18828] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 18829] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 18830] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 8*a^2*z^2 - 18*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^8*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18831] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 18832] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 18833] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 18834] -> 
  -8 + 4/a^2 + 6*a^2 - a^4 - 13*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 18835] -> 
  2 + a^2 - 6*a^4 + 5*a^6 - a^8 - z^2 + 5*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18836] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 16*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 18837] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18838] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 18839] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 18840] -> 2*a^4 + 2*a^6 - 7*a^8 + 6*a^10 - 2*a^12 + 
   a^4*z^2 + 14*a^6*z^2 - 23*a^8*z^2 + 14*a^10*z^2 - 2*a^12*z^2 - 5*a^4*z^4 + 
   22*a^6*z^4 - 28*a^8*z^4 + 9*a^10*z^4 - 5*a^4*z^6 + 17*a^6*z^6 - 
   14*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 18841] -> a^(-14) - 6/a^12 + 11/a^10 - 11/a^8 + 
   6/a^6 - (9*z^2)/a^12 + (27*z^2)/a^10 - (28*z^2)/a^8 + (17*z^2)/a^6 - 
   (3*z^4)/a^12 + (25*z^4)/a^10 - (33*z^4)/a^8 + (17*z^4)/a^6 + 
   (9*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 18842] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (27*z^2)/a^6 - (32*z^2)/a^4 + (13*z^2)/a^2 - (3*z^4)/a^8 + (22*z^4)/a^6 - 
   (40*z^4)/a^4 + (13*z^4)/a^2 + (8*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18843] -> 2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 - 
   z^2/a^2 + z^4 - (2*z^4)/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 18844] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 18845] -> 
  4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 + 8*a^2*z^2 - 20*a^4*z^2 + 
   21*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 
   16*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 6*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 18846] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18847] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 18848] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (32*z^2)/a^6 - (29*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (36*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 18849] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   24*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18850] -> 4*a^2 - 6*a^4 + 6*a^6 - 5*a^8 + 2*a^10 + 
   6*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 18851] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (19*z^2)/a^10 - (20*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 + (13*z^4)/a^10 - 
   (22*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18852] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + (22*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 18853] -> 
  8*a^8 - 12*a^10 + 7*a^12 - 2*a^14 + 21*a^8*z^2 - 17*a^10*z^2 + 7*a^12*z^2 - 
   2*a^14*z^2 + 20*a^8*z^4 - 6*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 
   a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 18854] -> 
  4*a^2 - 8*a^4 + 6*a^6 + 2*a^8 - 4*a^10 + a^12 + 8*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 - 4*a^6*z^4 + 
   7*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 18855] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 
   (9*z^2)/a^6 + (19*z^2)/a^4 - (6*z^2)/a^2 - (2*z^4)/a^8 + (13*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 18856] -> 1 + a^2 - 3*a^4 + 3*a^6 - 
   a^8 - 3*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   13*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18857] -> 1 + z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 18858] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + a^2*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 18859] -> 
  3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18860] -> 1 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18861] -> 2 - a^2 - a^4 + a^6 - z^2 + z^2/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18862] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 3*z^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 18863] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 5*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + 
   (18*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18864] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 18865] -> 
  -6 - 4/a^4 + 10/a^2 + a^4 - 12*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 - z^4/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 18866] -> 
  -2 - a^(-8) + 7/a^6 - 14/a^4 + 11/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (30*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 18867] -> -8 + 4/a^2 + 6*a^2 - a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18868] -> 2 + a^2 - 6*a^4 + 5*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 
   18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 18869] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 16*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 18870] -> 
  -10 + 4/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 23*z^2 + (6*z^2)/a^2 + 26*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18871] -> 2*a^2 - 5*a^4 + 9*a^6 - 6*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 13*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 18872] -> 
  -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 8*z^2 + z^2/a^2 + 17*a^2*z^2 - 
   19*a^4*z^2 + 6*a^6*z^2 - 3*z^4 + 12*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18873] -> 6*a^8 - 6*a^10 + a^12 + 18*a^8*z^2 - 
   8*a^10*z^2 - a^14*z^2 + 19*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   8*a^8*z^6 + a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 18874] -> -9 - 2/a^4 + 7/a^2 + 6*a^2 - a^6 - 
   19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 18875] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 8*a^2*z^2 - 20*a^4*z^2 + 
   20*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 
   16*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 6*a^6*z^6 - 
   2*a^8*z^6 - a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 18876] -> 
  a^2 + a^4 - a^6 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18877] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 + a^4*z^4 + a^6*z^4 + 
   z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 18878] -> 
  -1 + 4*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18879] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18880] -> 2 - 2*a^2 + 2*a^6 - a^8 - a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18881] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 18882] -> 
  -5 + 3/a^2 + 3*a^2 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 18883] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18884] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   3*z^2 - z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18885] -> -5 - 2/a^6 + 4/a^4 + a^(-2) + 3*a^2 - 
   12*z^2 - z^2/a^6 + (7*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 11*z^4 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 18886] -> 
  a^(-10) - 7/a^8 + 14/a^6 - 12/a^4 + 5/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (35*z^2)/a^6 - (30*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (37*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 18887] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 + (7*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 18888] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18889] -> -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 18890] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 11*z^2 + z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 18891] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18892] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   7*z^2 + z^2/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18893] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 18894] -> -12 - 4/a^4 + 12/a^2 + 6*a^2 - a^4 - 
   29*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 18895] -> 
  -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 21*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 18896] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18897] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 18898] -> 
  4*a^6 - 8*a^8 + 13*a^10 - 11*a^12 + 3*a^14 + 13*a^6*z^2 - 23*a^8*z^2 + 
   36*a^10*z^2 - 20*a^12*z^2 + 2*a^14*z^2 + 15*a^6*z^4 - 30*a^8*z^4 + 
   38*a^10*z^4 - 10*a^12*z^4 + 7*a^6*z^6 - 22*a^8*z^6 + 16*a^10*z^6 - 
   a^12*z^6 + a^6*z^8 - 8*a^8*z^8 + 2*a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 18899] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18900] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   3*z^2 - z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18901] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 18902] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 12*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 18903] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 11*z^2 + z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 18904] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 18905] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^2 - z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 18906] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^4)/a^10 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 18907] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - 4*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 18908] -> 
  1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18909] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 18910] -> 
  1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 18911] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 18912] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (28*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (32*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18913] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 19*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 18914] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 
   7/a^2 - 6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 - 
   5*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 18915] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18916] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 7*z^2 + 
   21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 13*a^2*z^4 - 5*a^4*z^4 + 
   3*a^2*z^6, Knot[14, NonAlternating, 18917] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 
   2*z^6 + z^6/a^2, Knot[14, NonAlternating, 18918] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 17*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 18919] -> 
  -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 13*a^4*z^2 + 42*a^6*z^2 - 23*a^8*z^2 + 
   2*a^10*z^2 - 15*a^4*z^4 + 50*a^6*z^4 - 20*a^8*z^4 + a^10*z^4 - 7*a^4*z^6 + 
   30*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 9*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 18920] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   5*z^2 + 24*a^2*z^2 - 32*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   25*a^2*z^4 - 40*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 
   25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 18921] -> a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 
   6/a^6 - (7*z^2)/a^12 + (24*z^2)/a^10 - (30*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^4)/a^12 + (24*z^4)/a^10 - (40*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 18922] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^10 - (12*z^2)/a^8 + (22*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - (5*z^4)/a^8 + (17*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 18923] -> a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 
   4/a^6 - (5*z^2)/a^12 + (13*z^2)/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 + 
   (8*z^4)/a^10 - (11*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 18924] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 18925] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 - a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (8*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 18926] -> a^(-10) - 5/a^8 + 9/a^6 - 
   8/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + 
   (6*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 + 
   (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18927] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + a^2*z^2 - 8*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 18928] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 22*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 
   12*a^4*z^2 + a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 18929] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 6/a^10 + 2/a^8 + (5*z^2)/a^14 - 
   (22*z^2)/a^12 + (17*z^2)/a^10 + (10*z^2)/a^8 - (11*z^4)/a^12 + 
   (18*z^4)/a^10 + (14*z^4)/a^8 - z^6/a^12 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 18930] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (24*z^2)/a^8 + (22*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (22*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 18931] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 18932] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   5*z^2 + 17*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - 5*z^4 + 15*a^2*z^4 - 
   9*a^4*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18933] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 18934] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 
   2*a^4 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   15*z^4 + (8*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 18935] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - (5*z^2)/a^12 + (22*z^2)/a^10 - 
   (32*z^2)/a^8 + (21*z^2)/a^6 - z^4/a^12 + (21*z^4)/a^10 - (43*z^4)/a^8 + 
   (21*z^4)/a^6 + (8*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 18936] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 4*z^2 - z^2/a^8 + (15*z^2)/a^6 - 
   (30*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (34*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18937] -> 4*a^6 - 6*a^8 + 7*a^10 - 5*a^12 + a^14 + 
   11*a^6*z^2 - 9*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 7*a^6*z^4 - 
   4*a^8*z^4 + 4*a^10*z^4 + a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 18938] -> 4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 
   7*a^2*z^2 - 20*a^4*z^2 + 22*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 
   21*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 18939] -> 
  1 + a^2 - 2*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   11*z^6 + z^6/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 18940] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18941] -> 2 + 2/a^6 - 3/a^4 - 2*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 18942] -> 
  2*a^2 - a^4 - 3*z^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 
   9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 18943] -> 3*a^2 - 3*a^4 + a^6 - 8*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 18944] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 18945] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 18946] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 18947] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 18948] -> 3*a^4 - a^6 - 2*a^8 + a^10 + z^2 - 
   4*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 18949] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 18950] -> 3 - 3*a^2 + a^6 + 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18951] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18952] -> 3*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 
   9*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 9*a^4*z^4 - 
   5*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18953] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   4*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 18954] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 18955] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18956] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + z^2/a^2 + 
   18*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 18957] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^8 + (21*z^4)/a^6 - (29*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18958] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   5*z^2 + 16*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 18959] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 18960] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 16*a^2*z^2 - 21*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 8*z^4 + 25*a^2*z^4 - 25*a^4*z^4 + 6*a^6*z^4 - 
   5*z^6 + 19*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 18961] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 18962] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 18963] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 2*a^10*z^4 + a^4*z^6 - 
   5*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 18964] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 18965] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 
   18*a^2*z^2 - 25*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 8*z^4 + 26*a^2*z^4 - 
   29*a^4*z^4 + 7*a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 13*a^4*z^6 + a^6*z^6 - z^8 + 
   7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 18966] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 - z^4/a^2 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 18967] -> -a^2 + 5*a^4 - 3*a^6 - z^2 + 7*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 18968] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 18969] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 
   5*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18970] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   6*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   9*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 6*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 18971] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (22*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 18972] -> 
  5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 18*a^6*z^2 - 22*a^8*z^2 + 12*a^10*z^2 - 
   a^12*z^2 - 6*a^4*z^4 + 24*a^6*z^4 - 27*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 
   18*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 18973] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (17*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 18974] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + z^4/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 18975] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 18976] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 18977] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 
   7*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 18978] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 18979] -> 
  3 + a^(-6) - 3/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^4, 
 Knot[14, NonAlternating, 18980] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 18981] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + z^6 - a^2*z^6, Knot[14, NonAlternating, 18982] -> 
  4*a^4 - 4*a^6 + a^8 + z^2 - 3*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 18983] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18984] -> 1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 18985] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - 
   a^12 + 6*a^4*z^2 - 4*a^6*z^2 + 2*a^10*z^2 + 2*a^4*z^4 - 4*a^6*z^4 - 
   a^6*z^6, Knot[14, NonAlternating, 18986] -> -1 + a^(-2) - a^2 + 4*a^4 - 
   2*a^6 - 5*z^2 + (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 5*z^4 + z^4/a^2 - 
   a^2*z^4 - z^6, Knot[14, NonAlternating, 18987] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18988] -> 4*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 - 
   z^2 + 7*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 
   2*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 18989] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 7*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 18990] -> 3*a^4 - 2*a^6 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 18991] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 18992] -> a^(-6) - a^(-4) + a^2 - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 18993] -> 
  1 + a^(-6) - 2/a^2 + a^2 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 18994] -> 2 - a^(-4) + a^(-2) - a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18995] -> -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 18996] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 18997] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 18998] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 18999] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (13*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 19000] -> 
  1 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 19001] -> 
  a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19002] -> 1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19003] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 19004] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 19005] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 + z^2/a^8 - (7*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 19006] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 
   4*a^2*z^2 - 11*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 21*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 19007] -> 2 + 2/a^6 - 3/a^4 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 19008] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   16*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 19009] -> 3*a^4 - a^6 - 2*a^8 + a^10 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 
   4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 19010] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 19011] -> 
  -a^(-8) + 2/a^4 - (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 19012] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4/a^8 - z^4/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 19013] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 19014] -> 
  -1 + a^(-4) + a^4 - z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 19015] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (4*z^2)/a^10 - (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (6*z^4)/a^8 - 
   (8*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 19016] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 
   3*z^2 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 19017] -> 5*a^4 - 6*a^6 + 2*a^8 + z^2 - 3*a^2*z^2 + 
   10*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 8*a^4*z^4 - 
   7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19018] -> a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 19019] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19020] -> -3 + 8*a^2 - 4*a^4 - 12*z^2 + z^2/a^2 + 
   26*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 19021] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 + 5*a^2*z^6 - 
   3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19022] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19023] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 19024] -> 
  -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 6*a^2*z^2 + 13*a^4*z^2 + 4*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 5*a^2*z^4 + 15*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 7*a^4*z^6 + a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19025] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (6*z^2)/a^10 - (17*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (22*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 19026] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (12*z^2)/a^2 - 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + 
   (12*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 19027] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^4)/a^10 - z^4/a^8 - (12*z^4)/a^6 + (6*z^4)/a^4 - z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 19028] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 13*a^4*z^2 + 19*a^6*z^2 - 
   9*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 
   2*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 19029] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 
   2*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 19030] -> 3 - a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 19031] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 19032] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 - 10*a^2*z^4 + 5*a^4*z^4 - 
   3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 19033] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19034] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 19035] -> -7 + 4/a^2 + 4*a^2 - 18*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19036] -> 2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^8 + 
   z^2/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 19037] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - a^4*z^2 + 
   15*a^6*z^2 - 13*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 13*a^6*z^4 - 
   10*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 19038] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 19039] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 19040] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2, Knot[14, NonAlternating, 19041] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 - a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 
   3*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 19042] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - 
   a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19043] -> -1 + a^(-2) + a^2 + z^2/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 + 2*z^4 - 9*a^2*z^4 + 3*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 19044] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19045] -> a^2 + a^4 + a^6 - 4*a^8 + 2*a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 4*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 19046] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 19*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (30*z^2)/a^2 + 4*a^2*z^2 - 24*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (39*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19047] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   (5*z^2)/a^12 + (20*z^2)/a^10 - (26*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^4)/a^12 + (23*z^4)/a^10 - (39*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 19048] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 3*z^2 + 18*a^2*z^2 - 30*a^4*z^2 + 
   16*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 23*a^2*z^4 - 40*a^4*z^4 + 16*a^6*z^4 - 
   a^8*z^4 - z^6 + 12*a^2*z^6 - 25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 19049] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 - a^4*z^2 + 19*a^6*z^2 - 22*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 25*a^6*z^4 - 26*a^8*z^4 + 
   7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 
   7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 19050] -> 
  a^(-2) - a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19051] -> -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 19052] -> -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^4 + (7*z^4)/a^10 - 
   (10*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19053] -> 2 - 4*a^4 + 4*a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 19054] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - 3*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 19055] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   4*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 19056] -> 
  -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 - z^4 + 
   (2*z^4)/a^4 + a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 19057] -> 
  -8 + 2/a^2 + 12*a^2 - 5*a^4 - 21*z^2 + (6*z^2)/a^2 + 25*a^2*z^2 - 
   7*a^4*z^2 - 20*z^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19058] -> -3*a^4 + 12*a^6 - 10*a^8 + 2*a^10 + 
   a^2*z^2 - 8*a^4*z^2 + 27*a^6*z^2 - 14*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 21*a^6*z^4 - 6*a^8*z^4 - 2*a^4*z^6 + 7*a^6*z^6 - a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 19059] -> -a^(-8) + 7/a^6 - 12/a^4 + 
   7/a^2 - z^2/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 19060] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 22*z^2 + 
   z^2/a^4 + (6*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 8*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19061] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 19062] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 5*z^2 - z^2/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 - z^4/a^2 + 17*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 
   7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19063] -> 
  -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 - (2*z^2)/a^12 + (18*z^2)/a^10 - 
   (37*z^2)/a^8 + (23*z^2)/a^6 - z^4/a^12 + (19*z^4)/a^10 - (45*z^4)/a^8 + 
   (21*z^4)/a^6 + (8*z^6)/a^10 - (29*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 19064] -> 
  -4 + 3/a^6 - 11/a^4 + 13/a^2 - 8*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (26*z^2)/a^4 + (28*z^2)/a^2 - 5*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (29*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19065] -> a^8 + 8*a^10 - 13*a^12 + 6*a^14 - a^16 + 
   8*a^8*z^2 + 22*a^10*z^2 - 24*a^12*z^2 + 5*a^14*z^2 + 13*a^8*z^4 + 
   22*a^10*z^4 - 12*a^12*z^4 + 7*a^8*z^6 + 9*a^10*z^6 - a^12*z^6 + a^8*z^8 + 
   a^10*z^8, Knot[14, NonAlternating, 19066] -> 
  a^2 - 4*a^4 + 11*a^6 - 9*a^8 + 2*a^10 + 5*a^2*z^2 - 15*a^4*z^2 + 
   26*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 19067] -> a^4 + 6*a^6 - 11*a^8 + 6*a^10 - a^12 - 
   a^4*z^2 + 17*a^6*z^2 - 22*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 4*a^4*z^4 + 
   18*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 19068] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 
   5*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 19069] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   3*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 19070] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 19071] -> 3 - 4*a^2 + 2*a^4 + 8*z^2 - z^2/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 8*z^4 + z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 2*z^6, Knot[14, NonAlternating, 19072] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - z^2/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 - 
   a^2*z^2 + 6*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 19073] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 13*z^2 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   12*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^2 - 2*a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 19074] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 19075] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 + (6*z^4)/a^10 - (11*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 19076] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19077] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   8*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 + 4*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 + 
   a^10*z^4 - 3*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 19078] -> 
  5*a^8 - 4*a^10 + a^6*z^2 + 17*a^8*z^2 - 7*a^10*z^2 - a^12*z^2 + 2*a^6*z^4 + 
   15*a^8*z^4 - a^10*z^4 - a^12*z^4 + a^6*z^6 + 4*a^8*z^6 + a^10*z^6, 
 Knot[14, NonAlternating, 19079] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 2*z^2 + 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 3*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 19080] -> 
  a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 - z^2 + 2*a^2*z^2 + 5*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + 
   2*a^2*z^6 + 3*a^4*z^6, Knot[14, NonAlternating, 19081] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 3*z^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - 
   8*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19082] -> 5*a^4 - 6*a^6 + 2*a^8 - a^2*z^2 + 
   8*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19083] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 19084] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - 
   a^6 + 4*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19085] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 
   9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19086] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 19087] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 19088] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 19089] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19090] -> -4/a^8 + 5/a^6 + a^(-4) - a^(-2) - 
   (7*z^2)/a^8 + (14*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - (6*z^4)/a^8 + 
   (16*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19091] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 6*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 19092] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 19093] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 
   19*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19094] -> a^6 + 5*a^10 - 7*a^12 + 2*a^14 + 
   8*a^6*z^2 - 5*a^8*z^2 + 18*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 
   10*a^6*z^4 - 10*a^8*z^4 + 18*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   8*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 19095] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 - 
   a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 19096] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - z^4 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 19097] -> 
  a^6 + 2*a^8 - 3*a^12 + a^14 + 2*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + 
   5*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 5*a^10*z^4 - 
   a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 19098] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 19099] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^8 - (8*z^2)/a^6 + (15*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (14*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 19100] -> 
  a^2 - a^6 + 4*a^8 - 4*a^10 + a^12 + 5*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 
   10*a^8*z^2 - 4*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 6*a^8*z^4 - 
   3*a^4*z^6 - 3*a^6*z^6, Knot[14, NonAlternating, 19101] -> 
  -4*a^4 + 14*a^6 - 11*a^8 + 2*a^10 - 2*a^2*z^2 - 6*a^4*z^2 + 33*a^6*z^2 - 
   18*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 29*a^6*z^4 - 10*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 19102] -> a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 
   6/a^6 - (5*z^2)/a^12 + (19*z^2)/a^10 - (23*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^2)/a^4 + (13*z^4)/a^10 - (23*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 19103] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19104] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 19105] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 19106] -> 
  a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 19107] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19108] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19109] -> 1 + a^(-6) - 2/a^2 + a^2 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19110] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19111] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 - 
   z^2 + 3*a^2*z^2 + 4*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 
   4*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 - z^6 + 4*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 19112] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 19113] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + a^2*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 19114] -> 
  3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19115] -> 2 - a^2 - a^4 + a^6 - z^2 + z^2/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19116] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 3*z^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 19117] -> 
  2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 19118] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 + z^4/a^4 - 
   (9*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 19119] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + 
   z^4/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 19120] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 - a^2*z^4 + a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 19121] -> -1 + 7*a^2 - 8*a^4 + 3*a^6 - 
   4*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19122] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 19123] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   5*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19124] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (20*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19125] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 19126] -> 
  3/a^6 - 7/a^4 + 5/a^2 + z^2/a^8 + (5*z^2)/a^6 - (16*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^8 - (12*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^6 - 
   (3*z^6)/a^4, Knot[14, NonAlternating, 19127] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 - a^4*z^2 + 17*a^6*z^2 - 18*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 - 
   2*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 19128] -> -a^4 + 7*a^6 - 6*a^8 + a^10 + 2*a^2*z^2 - 
   6*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19129] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   4*a^2*z^2 - 11*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 21*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 19130] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - a^2*z^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19131] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 19132] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 19133] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   4*z^2 + 4*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 
   10*a^4*z^4 - a^6*z^4 - a^8*z^4 + 3*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 19134] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   3*a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 6*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 19135] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 
   22*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 19136] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - 
   (5*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 19137] -> 
  1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 + 2*z^2 + 2*a^2*z^2 - 15*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 + z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 19138] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19139] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 + z^2/a^4 + (5*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 + z^4/a^4 + (3*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   8*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 19140] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - 
   z^4/a^6 + (7*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19141] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 19142] -> 
  a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + 6*a^2*z^2 - 15*a^4*z^2 + 22*a^6*z^2 - 
   9*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 
   2*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 19143] -> -5/a^8 + 8/a^6 - 2/a^4 - (7*z^2)/a^8 + 
   (18*z^2)/a^6 - (3*z^2)/a^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 19144] -> -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 19145] -> 2 - a^(-4) + a^(-2) - a^2 + 
   z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19146] -> -4 - 5/a^4 + 10/a^2 - 14*z^2 - 
   (14*z^2)/a^4 + (33*z^2)/a^2 - 14*z^4 - (14*z^4)/a^4 + (42*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 19147] -> 
  4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 8*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 19148] -> 
  3*a^2 - 4*a^4 + 2*a^6 + a^8 - a^10 + 4*a^2*z^2 - 5*a^4*z^2 + 3*a^8*z^2 - 
   z^4 + a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 19149] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 4*a^2*z^2 + 
   14*a^4*z^2 - 8*a^6*z^2 + a^8*z^2 + z^4 - 5*a^2*z^4 + 12*a^4*z^4 - 
   4*a^6*z^4 + z^6 - 3*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19150] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19151] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 19152] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 - z^4 + a^2*z^4 - 3*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 19153] -> 6 + a^(-6) - a^(-4) - 3/a^2 - 2*a^2 + 
   11*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19154] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 + z^4/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 19155] -> 
  1 - a^(-8) - a^(-6) + 5/a^4 - 3/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19156] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 19157] -> 
  a^6 + 2*a^8 - 3*a^12 + a^14 + 2*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 + 
   6*a^10*z^2 - 5*a^12*z^2 + 3*a^4*z^4 + 8*a^10*z^4 - a^12*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 19158] -> 7*a^6 - 10*a^8 + 5*a^10 - a^12 - 
   3*a^4*z^2 + 24*a^6*z^2 - 27*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 7*a^4*z^4 + 
   29*a^6*z^4 - 28*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 19*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 19159] -> -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 19160] -> 
  3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - 2*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 - 
   8*a^8*z^2 + 5*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 19161] -> a^(-2) - a^2 + a^4 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 - z^4 + (2*z^4)/a^4 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 19162] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 19163] -> 
  4 - a^(-8) + a^(-6) + 2/a^4 - 4/a^2 - a^2 + 8*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 19164] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 19165] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 - z^2 + 4*a^2*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 
   2*z^4 + 3*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 19166] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19167] -> a^6 + a^8 + 3*a^10 - 6*a^12 + 2*a^14 + 
   8*a^6*z^2 - 4*a^8*z^2 + 15*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 
   10*a^6*z^4 - 10*a^8*z^4 + 17*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 
   8*a^8*z^6 + 5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 19168] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19169] -> 2*a^6 + a^10 - 3*a^12 + a^14 + 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + 5*a^10*z^4 - a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 19170] -> a^2 - a^4 + a^6 + 3*a^8 - 4*a^10 + a^12 + 
   5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + 3*a^2*z^4 - 
   8*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - 3*a^4*z^6 - 2*a^6*z^6, 
 Knot[14, NonAlternating, 19171] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 - z^2/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 19172] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 
   2*a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 19173] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 19174] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 19175] -> 
  -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 2*z^2 + 12*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 
   a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 19176] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 6*z^2 + 22*a^2*z^2 - 24*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 - z^6 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 19177] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 19178] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 10*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 19179] -> a^(-10) - 5/a^8 + 10/a^6 - 
   10/a^4 + 5/a^2 + z^2/a^10 - (7*z^2)/a^8 + (21*z^2)/a^6 - (25*z^2)/a^4 + 
   (10*z^2)/a^2 - (4*z^4)/a^8 + (16*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 19180] -> a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 
   3/a^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 19181] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - (5*z^2)/a^12 + (18*z^2)/a^10 - 
   (24*z^2)/a^8 + (17*z^2)/a^6 + (12*z^4)/a^10 - (24*z^4)/a^8 + 
   (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 19182] -> a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 
   4/a^6 + a^(-4) - (5*z^2)/a^12 + (16*z^2)/a^10 - (17*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (8*z^4)/a^10 - (12*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (4*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 19183] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 19184] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 19185] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - z^4/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 19186] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   20*z^2 + (6*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 19187] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19188] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + 
   (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19189] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 4*z^4 + z^4/a^4 + 2*a^2*z^4 - 3*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19190] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19191] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 + 
   z^4/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 19192] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + z^4/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 19193] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19194] -> 4*a^4 - 3*a^6 - a^8 + a^10 - 2*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 
   4*a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19195] -> 1 + a^(-8) - 3/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^8 - z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19196] -> -3 + 3/a^2 - a^2 + 2*a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 10*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19197] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 9*z^2 - 
   (4*z^2)/a^2 - 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 12*z^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 - a^4*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19198] -> a^4 + 3*a^6 - 4*a^8 + a^10 + a^2*z^2 - 
   4*a^4*z^2 + 15*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 
   20*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 19199] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19200] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^4 - 
   a^2*z^2 + a^4*z^2 - a^6*z^2 + (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 19201] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - 
   a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 19202] -> 
  2 + a^(-8) - 2/a^4 + 2*z^2 - z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 19203] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 
   4*z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 - z^4 + (2*z^4)/a^4 + a^2*z^4 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 19204] -> 
  3 - 2*a^2 - a^4 + a^8 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 - 
   a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 19205] -> 2*a^4 + a^6 - 3*a^8 + a^10 + z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 
   a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 19206] -> 
  1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 19207] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19208] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 19209] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 19210] -> 
  3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 2*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 19211] -> -2 + a^(-2) + 3*a^2 - a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19212] -> 1 - 2*z^2 + z^2/a^4 + a^4*z^2 - 4*z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 19213] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 2*a^2*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 19214] -> -1 + a^(-2) + a^2 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19215] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   9*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19216] -> 2*a^2 - a^4 + z^2 - a^4*z^2 + a^6*z^2 + 
   z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19217] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 - 
   2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 19218] -> 6 + a^(-6) - a^(-4) - 3/a^2 - 2*a^2 + 
   4*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^4 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 19219] -> -2*a^2 + 7*a^4 - 4*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19220] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 
   3*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (12*z^2)/a^4 - (10*z^2)/a^2 + 2*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 19221] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 19222] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   3*z^4 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 19223] -> 2*a^4 - a^8 + 3*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 19224] -> 2 - 2*a^2 + a^4 - a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 19225] -> 2/a^4 - 2/a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 19226] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - 
   (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + z^4 + z^4/a^2 + a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 19227] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 
   2*a^2 + a^4 + 8*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   8*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 19228] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 4*z^2 + z^2/a^6 - (6*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19229] -> 3 - a^(-2) - a^2 + 4*z^2 - z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 19230] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 - z^2 + 5*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 2*z^4 + 3*a^2*z^4 - 5*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 19231] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19232] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19233] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + z^4 + z^4/a^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 19234] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 19235] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 19236] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 19237] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 
   6*a^8*z^2 + 4*a^10*z^2 - a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 19238] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 + z^2 - z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 19239] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 5*z^2 + 8*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 + 9*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 19240] -> 1 - a^2 + 2*a^4 - a^6 - 4*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 19241] -> 2 - a^(-4) + a^(-2) - a^2 + 7*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 8*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19242] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^4 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 19243] -> 
  -4/a^8 + 6/a^6 - a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (15*z^2)/a^8 + 
   (22*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (23*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 19244] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19245] -> a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 19246] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 - a^4*z^2 + 
   16*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 19247] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 6*a^2*z^2 - 
   14*a^4*z^2 + 19*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 20*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 19248] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 + a^4*z^4 + a^6*z^4 + 
   z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 19249] -> 
  -1 + 4*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19250] -> 2 - 2*a^2 + 2*a^6 - a^8 - a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19251] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 19252] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19253] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19254] -> -2 + 6*a^2 - 3*a^4 - 6*z^2 + 16*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19255] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 19256] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^2 - a^2*z^2 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 19257] -> 
  3 - a^(-4) - a^4 + 9*z^2 - (2*z^2)/a^4 - 2*a^2*z^2 - a^4*z^2 + 9*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 19258] -> 
  -5 - 6/a^4 + 12/a^2 - 16*z^2 - z^2/a^6 - (14*z^2)/a^4 + (37*z^2)/a^2 - 
   15*z^4 - z^4/a^6 - (12*z^4)/a^4 + (45*z^4)/a^2 - 6*z^6 - (5*z^6)/a^4 + 
   (27*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19259] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 11*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 19260] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 
   7*z^2 - z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 19261] -> 
  4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 + a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + 
   10*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + 
   7*a^10*z^4 - a^6*z^6 - 3*a^8*z^6, Knot[14, NonAlternating, 19262] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 16*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 19263] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 6*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 19264] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 19265] -> -8 + 4/a^2 + 7*a^2 - 2*a^4 - 
   a^6 + a^8 - 15*z^2 + (4*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   7*z^4 + z^4/a^2 + 6*a^2*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 19266] -> -2 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 + 
   a^2 - 2*z^2 - z^2/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 19267] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   7*z^2 + z^2/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 19268] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 - 
   z^2/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 19269] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 4*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19270] -> 4*a^4 - 3*a^6 - a^8 + a^10 - a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 - a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 
   5*a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19271] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 3*z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 19272] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 - (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 - z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 19273] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 10*z^2 + z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 - 6*z^4 - z^4/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19274] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 
   2*z^4 - 11*a^2*z^4 + 2*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19275] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 
   z^4/a^8 + z^4/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 19276] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19277] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 2*a^4*z^2 + 
   8*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 19278] -> 4*a^2 - 5*a^4 + 2*a^6 - 5*z^2 - z^2/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 
   6*a^4*z^4 - 13*z^6 + (4*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 19279] -> 
  4*a^6 - 3*a^8 + z^2 + a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 19280] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19281] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 6*a^4*z^2 - 
   7*a^6*z^2 + a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19282] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 19283] -> 
  4*a^2 - 4*a^4 + a^8 - 5*z^2 + 12*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 - z^6 + 7*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 19284] -> 2 + a^(-8) - 2/a^4 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19285] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - 10*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 19286] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4/a^8 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 19287] -> -4 + 3/a^2 + a^2 + a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19288] -> 2 - 3*a^4 + 2*a^6 + 6*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 
   a^4*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19289] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 
   13*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 - 2*a^4*z^4 + 11*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 19290] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19291] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   3*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 
   19*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 19292] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 3*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 + z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 
   z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 19293] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 19294] -> 
  4 + 2/a^6 - a^(-4) - 4/a^2 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   (6*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19295] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (7*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19296] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 19297] -> 
  a^(-8) - 2/a^4 + a^(-2) + a^2 - 2*z^2 - z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 19298] -> 
  a^(-4) - 2*a^2 + 2*a^4 - z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   (2*z^4)/a^4 + a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 19299] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 19300] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 
   6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 19301] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + a^2*z^2 - z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 19302] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19303] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 19304] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19305] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19306] -> a^2 + a^6 - a^8 + 2*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 4*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 19307] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 11*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 21*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 
   14*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 19308] -> 
  2*a^2 - a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 - 
   z^4/a^2 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19309] -> 3 - 3*a^2 + a^6 + 2*z^2 - z^2/a^2 - 
   4*a^2*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 - a^2*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 19310] -> a^2 + 2*a^4 - 2*a^6 - a^8 + 
   a^10 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 19311] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 19312] -> -2 + 2/a^2 + a^4 - 2*z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 
   z^6/a^2, Knot[14, NonAlternating, 19313] -> 2/a^4 - 2/a^2 + a^4 + 2*z^2 - 
   (5*z^2)/a^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 19314] -> 2 - a^2 - a^4 + a^6 + z^2 + 
   z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   a^2*z^6, Knot[14, NonAlternating, 19315] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 3*z^2 - z^2/a^8 + z^2/a^4 - 
   (5*z^2)/a^2 + z^4 - (5*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 19316] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 19317] -> 
  a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 19318] -> 
  1 + a^2 - a^4 - a^6 + a^8 - 3*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 19319] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + 3*z^2 - 5*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 + 
   3*z^4 - z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 19320] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 19321] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 6*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 + 5*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19322] -> 3*a^6 - 2*a^8 + a^10 - a^12 + a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^4*z^4 + 9*a^6*z^4 - 
   8*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 19323] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19324] -> -1 + 5*a^2 - 4*a^4 + a^6 + 5*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 19325] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 19326] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 3*z^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19327] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19328] -> -a^2 + 4*a^4 - a^6 - a^8 + 2*z^2 - 
   6*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 8*a^2*z^4 + 9*a^4*z^4 - 
   2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19329] -> 3 - a^(-2) - a^2 + z^2 + z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 19330] -> 
  -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 19331] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 19332] -> 
  1 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19333] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 19334] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - 4*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 19335] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19336] -> -4 - 3/a^4 + 7/a^2 + a^2 - 11*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (5*z^4)/a^4 + 
   (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19337] -> -a^(-4) + 2/a^2 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 19338] -> 1 - 2*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19339] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^4 + 
   a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 19340] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 6*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 19341] -> 
  1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 + 3*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19342] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 19343] -> 
  2*a^2 - 2*a^6 + a^8 - z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 19344] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 - 9*z^4 + z^4/a^6 - (13*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19345] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   z^2/a^10 - (13*z^2)/a^8 + (25*z^2)/a^6 - (6*z^2)/a^4 - (9*z^4)/a^8 + 
   (26*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 19346] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 19347] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + z^4/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19348] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 8*z^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 + z^4/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 19349] -> 
  4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 9*z^2 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19350] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19351] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19352] -> a^(-10) - 2/a^8 + 4/a^6 - 7/a^4 + 5/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 19353] -> -1 - a^(-6) + 2/a^4 + a^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19354] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + z^4 + z^4/a^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 19355] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + (4*z^2)/a^10 - (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (6*z^4)/a^8 - 
   (9*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 19356] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + 20*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 - 8*z^4 + z^4/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 19357] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 19358] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[14, NonAlternating, 19359] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19360] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 - z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 19361] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19362] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 19363] -> 
  a^(-6) - a^(-4) + a^2 - 7*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 15*z^4 + z^4/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19364] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + 
   (16*z^2)/a^2 - 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + 
   (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 19365] -> a^(-6) - a^(-4) + a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 19366] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 19367] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 19368] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - 6*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19369] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 19370] -> 3 - 3*a^2 + a^6 + 3*z^2 - 8*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 - 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 19371] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 19372] -> 3 + a^(-6) - a^(-4) - a^(-2) - 
   2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19373] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19374] -> 2*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 19375] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19376] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 19377] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (27*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 19378] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 17*z^2 + z^2/a^4 + (4*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 16*z^4 + z^4/a^4 + (2*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 19379] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + 
   (14*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19380] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 
   5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 19381] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 19382] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19383] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 19384] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 5*z^2 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   4*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - z^8, 
 Knot[14, NonAlternating, 19385] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 19386] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 19387] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 7*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (25*z^2)/a^4 + (23*z^2)/a^2 - 9*z^4 + (6*z^4)/a^6 - (26*z^4)/a^4 + 
   (30*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19388] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 23*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19389] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 19390] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 
   6/a^2 + z^2 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 19391] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 19392] -> 3 - a^(-2) - a^2 - 3*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 19393] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^14 - (3*z^2)/a^12 + (15*z^2)/a^8 - 
   z^4/a^14 + (4*z^4)/a^10 + (18*z^4)/a^8 + z^6/a^12 + (2*z^6)/a^10 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 19394] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 19395] -> a^(-2) - a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^2 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 19396] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^2 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 19397] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^10 - (5*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (2*z^4)/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 19398] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (15*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (10*z^4)/a^10 - (19*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 19399] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 19400] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   (15*z^2)/a^12 + (22*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^14 - (9*z^4)/a^12 + 
   (29*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 19401] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 + (6*z^4)/a^10 - (11*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 19402] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 4*a^2*z^2 - a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19403] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   10*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 
   11*a^4*z^4 + 4*a^6*z^4 + 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19404] -> 5*a^6 - 5*a^8 + a^10 - a^2*z^2 - 
   2*a^4*z^2 + 18*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   20*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 19405] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19406] -> 
  a^6 + 4*a^10 - 5*a^12 + a^14 + 5*a^6*z^2 + 3*a^8*z^2 + 9*a^10*z^2 - 
   5*a^12*z^2 - a^14*z^2 + 6*a^6*z^4 + 4*a^8*z^4 + 6*a^10*z^4 + a^12*z^4 + 
   a^6*z^6, Knot[14, NonAlternating, 19407] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 19408] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 19409] -> 4 - 2/a^2 - a^4 + 10*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19410] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + z^2 - 
   3*a^2*z^2 + 10*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + z^4 - 5*a^2*z^4 + 
   8*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 19411] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19412] -> 3 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19413] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   5*a^4*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 3*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 19414] -> a^(-8) - a^(-6) + a^2 - 6*z^2 - z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19415] -> 2/a^4 - 2/a^2 + a^4 + 4*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19416] -> 2 - 2*a^2 + a^4 + 7*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19417] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - 
   a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 19418] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 19419] -> 
  a^(-8) - 4/a^4 + 4/a^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 19420] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - z^6/a^4, Knot[14, NonAlternating, 19421] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 19422] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19423] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19424] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19425] -> 2 + 2/a^6 - 3/a^4 + 5*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19426] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^4 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 19427] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 4*z^2 - 4*a^2*z^2 - 6*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + 3*z^4 - 9*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 19428] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^4 + a^2*z^2 - a^4*z^2 + 6*z^4 - z^4/a^2 - 
   a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19429] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 19430] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 19431] -> 
  -4/a^8 + 7/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 19432] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (9*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + (6*z^4)/a^10 - 
   (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 19433] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   2*z^2 + 10*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 8*a^2*z^4 - 
   14*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19434] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19435] -> 1 + a^2 - 2*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 19436] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19437] -> 3*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 19438] -> -4 + 3/a^2 + a^2 + a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19439] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (28*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 19440] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 8*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 19441] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - 6*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - 11*a^2*z^4 + 2*a^6*z^4 + z^6 - 6*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19442] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - a^4*z^2 + 
   19*a^6*z^2 - 21*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 
   25*a^6*z^4 - 26*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 19443] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 19444] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 19445] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 6*a^4*z^2 - 2*a^6*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 
   6*a^6*z^6 - a^6*z^8, Knot[14, NonAlternating, 19446] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 19447] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 19448] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (16*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19449] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19450] -> -4 - 3/a^4 + 7/a^2 + a^2 - 16*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19451] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19452] -> -6 + 3/a^2 + 5*a^2 - a^4 - 24*z^2 - 
   z^2/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 32*z^4 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19453] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (36*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 19454] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (20*z^2)/a^10 - 
   (25*z^2)/a^8 + (18*z^2)/a^6 - (2*z^4)/a^12 + (23*z^4)/a^10 - 
   (39*z^4)/a^8 + (20*z^4)/a^6 + (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 19455] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   19*a^2*z^2 - 28*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 24*a^2*z^4 - 
   39*a^4*z^4 + 16*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 25*a^4*z^6 + 
   7*a^6*z^6 + 2*a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 19456] -> a^6 + a^8 + 2*a^10 - 4*a^12 + a^14 + 
   9*a^6*z^2 - 5*a^8*z^2 + 14*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 10*a^6*z^4 - 
   11*a^8*z^4 + 16*a^10*z^4 - 4*a^12*z^4 + 3*a^6*z^6 - 8*a^8*z^6 + 
   5*a^10*z^6 - 2*a^8*z^8, Knot[14, NonAlternating, 19457] -> 
  2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   8*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 5*a^10*z^4 - 
   a^6*z^6 - 2*a^8*z^6, Knot[14, NonAlternating, 19458] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^10 + (3*z^4)/a^8 + z^4/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 19459] -> -2 + 4*a^2 + a^4 - 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19460] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19461] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   6*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 
   9*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 6*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 19462] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 19463] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 19464] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - a^4*z^6 - 
   a^6*z^6, Knot[14, NonAlternating, 19465] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 19466] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 5*z^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + z^4/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 19467] -> 
  1 + a^(-2) - 2*a^2 + a^6 - 3*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19468] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 19469] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 19470] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19471] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 2*a^2*z^2 - 
   2*a^4*z^2 + 22*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   23*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 19472] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + 
   3*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 19473] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 + 
   (8*z^2)/a^6 - z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19474] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 19475] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19476] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19477] -> a^(-2) - a^2 + a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 19478] -> 
  -5 + 3/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 19479] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 19480] -> 
  -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19481] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19482] -> -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 19483] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   4*a^4*z^2 + 5*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 19484] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 + 3*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 19485] -> 4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - a^4*z^4 + 
   8*a^6*z^4 - 10*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 19486] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 6*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 9*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 13*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 19487] -> 2 + a^(-8) - a^(-6) - a^(-2) + 4*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19488] -> a^(-4) - 2*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 6*z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19489] -> a^(-2) - a^4 + a^6 + z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 - a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 19490] -> -5/a^8 + 9/a^6 - 4/a^4 + 
   a^(-2) + z^2/a^10 - (12*z^2)/a^8 + (31*z^2)/a^6 - (19*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (38*z^4)/a^6 - (26*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19491] -> -3/a^12 + 6/a^10 - 6/a^8 + 4/a^6 - 
   (5*z^2)/a^12 + (21*z^2)/a^10 - (25*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^4)/a^12 + (23*z^4)/a^10 - (39*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 19492] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 18*a^2*z^2 - 27*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 24*a^2*z^4 - 38*a^4*z^4 + 17*a^6*z^4 - 
   a^8*z^4 - z^6 + 12*a^2*z^6 - 25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 19493] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 15*z^2 + z^2/a^6 - (8*z^2)/a^4 + (19*z^2)/a^2 + 
   4*a^2*z^2 - 20*z^4 + z^4/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 
   11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19494] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^8 + (19*z^4)/a^6 - (31*z^4)/a^4 + 
   (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 19495] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 19496] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 19497] -> 
  a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (12*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 19498] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19499] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19500] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 + (7*z^4)/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19501] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19502] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 
   z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19503] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 5*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 19504] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 19505] -> 
  1 + 2*z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^4, Knot[14, NonAlternating, 19506] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 19507] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19508] -> -3/a^8 + 4/a^6 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19509] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (2*z^2)/a^12 + (10*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 + (7*z^4)/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19510] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   z^4/a^2 - a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 19511] -> a^(-14) - 7/a^12 + 7/a^10 + z^2/a^16 - 
   (5*z^2)/a^14 - (11*z^2)/a^12 + (26*z^2)/a^10 + (3*z^2)/a^8 - 
   (6*z^4)/a^14 - z^4/a^12 + (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 19512] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19513] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 
   4*z^2 + 11*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   9*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 19514] -> 
  3*a^4 - 2*a^6 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 
   4*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 19515] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + (7*z^2)/a^6 - (16*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 19516] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 19517] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19518] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   6*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19519] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19520] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 
   a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19521] -> a^6 + a^8 + 2*a^10 - 4*a^12 + a^14 + 
   6*a^6*z^2 + 3*a^8*z^2 + 6*a^10*z^2 - 5*a^12*z^2 + 7*a^6*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 19522] -> 3/a^6 - 7/a^4 + 5/a^2 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 + (2*z^4)/a^8 - z^4/a^6 - 
   (19*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19523] -> 2*a^2 - a^4 + 5*z^2 - (3*z^2)/a^2 - 
   a^4*z^2 + 9*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 19524] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 19525] -> 
  a^2 + a^4 - a^6 - 6*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   10*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 19526] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - 
   3*a^4*z^2 + 23*a^6*z^2 - 24*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 7*a^4*z^4 + 
   29*a^6*z^4 - 27*a^8*z^4 + 7*a^10*z^4 - 5*a^4*z^6 + 19*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 19527] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 19528] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 19529] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 19530] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (15*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + (9*z^4)/a^10 - (17*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 19531] -> 
  -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (11*z^2)/a^8 + (29*z^2)/a^6 - 
   (21*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (14*z^4)/a^8 + (37*z^4)/a^6 - 
   (27*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19532] -> 1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19533] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   2*a^4*z^4 - 2*z^6 - a^2*z^6, Knot[14, NonAlternating, 19534] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 + 3*z^2 - 3*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 + z^4 - 5*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 19535] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^8 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 19536] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - 2*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 
   9*a^8*z^2 + 5*a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 19537] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 8*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 19538] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19539] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   2*a^2*z^2 + 2*a^4*z^2 + a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 19540] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 19541] -> 1 - 3/a^8 + 6/a^6 - 3/a^4 + 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19542] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 - 
   (2*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 - 10*z^4 - z^4/a^2 + 41*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 19543] -> 
  -2 + 6*a^2 - 3*a^4 + 2*z^2 - z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19544] -> -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - 
   5*z^2 - z^2/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19545] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 19546] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   11*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 - 14*z^4 + (5*z^4)/a^2 + 3*a^2*z^4 + 
   a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 19547] -> 
  a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - a^(-6) + 2/a^4 - (6*z^2)/a^12 + 
   (14*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - 
   (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19548] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19549] -> -2 + 2/a^2 + a^4 - 5*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 19550] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + 2*a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 19551] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19552] -> -4 + 10*a^2 - 5*a^4 - 10*z^2 - 
   (2*z^2)/a^2 + 31*a^2*z^2 - 14*a^4*z^2 - 10*z^4 - z^4/a^2 + 41*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 19553] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 - z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19554] -> -2 - 3/a^4 + 6/a^2 - 12*z^2 + z^2/a^6 - 
   (10*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19555] -> -3/a^8 + 4/a^6 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 19556] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - z^2/a^2 + a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 
   3*z^4 - z^4/a^2 - a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 19557] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (17*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 19558] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 19559] -> 
  -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (28*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (36*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19560] -> 1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19561] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 19562] -> 
  1 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 19563] -> 4*a^4 - 3*a^6 - a^8 + a^10 - 
   4*a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 
   13*a^4*z^4 - 5*a^6*z^4 - a^8*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 19564] -> 2 + a^(-8) - 2/a^4 - 2*z^2 + 
   z^2/a^8 - (9*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - z^4/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19565] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19566] -> 2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 
   18*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 19567] -> a^2 + a^4 - a^6 + z^2 + a^6*z^2 + 3*z^4 - 
   4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 19568] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 - a^4*z^4 + 9*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 19569] -> 2*a^2 - a^4 + z^2 - a^4*z^2 + a^6*z^2 + 
   z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19570] -> -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19571] -> -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 9*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 5*z^6 + 13*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 19572] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 13*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19573] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 19574] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19575] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 19576] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (4*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 19577] -> 
  -1 + 4*a^2 - 2*a^4 - z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 19578] -> 
  a^(-6) - a^(-4) + a^2 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19579] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + 
   a^2 + 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 19580] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   7*z^4 - 5*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19581] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   (3*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 19582] -> 
  2*a^2 - a^4 - z^2/a^6 + z^2/a^4 + 2*a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 19583] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^6 - z^4/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19584] -> a^2 + a^6 - a^8 + 2*z^2 - 4*a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 + 
   a^6*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19585] -> 1 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 19586] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - z^2 + 10*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 9*a^2*z^4 - 21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 19587] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   18*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19588] -> 1 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - 4*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19589] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 19590] -> 
  2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 5*a^4*z^2 - 3*a^2*z^4 + 4*a^4*z^4 - 
   a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 19591] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 2*a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 19592] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4/a^8 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 19593] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19594] -> -1 - 2/a^4 + 4/a^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 19595] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - 
   a^12 + 2*a^2*z^2 + 2*a^4*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 19596] -> 3*a^8 + a^10 - 4*a^12 + a^14 + 
   5*a^6*z^2 + 6*a^8*z^2 + 5*a^10*z^2 - 5*a^12*z^2 + 6*a^6*z^4 + 4*a^8*z^4 + 
   4*a^10*z^4 + a^6*z^6, Knot[14, NonAlternating, 19597] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^10 - (6*z^4)/a^8 - (7*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 19598] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 10*z^2 + 
   z^2/a^4 + 11*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19599] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 
   6*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - 11*a^2*z^4 + 
   2*a^6*z^4 + z^6 - 6*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 19600] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - 
   (10*z^2)/a^6 + (9*z^2)/a^4 + (3*z^4)/a^10 - z^4/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 - z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 19601] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 19602] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 19603] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - 
   a^6 - 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 19604] -> 
  1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 3*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + z^4 - 4*a^2*z^4 - 5*a^4*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19605] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   9*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 19606] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 19607] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19608] -> 
  1 - 3/a^8 + 4/a^6 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 19609] -> 
  -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + (7*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 19610] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - z^2/a^2 - a^2*z^2 - 7*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 
   2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 19611] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^2 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 19612] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (2*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 19613] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19614] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19615] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19616] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 3*a^2*z^2 + 
   9*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 11*a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19617] -> 2 + 2/a^6 - 3/a^4 - z^2/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (17*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 19618] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19619] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19620] -> -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - (2*z^2)/a^12 + (8*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + 
   (6*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19621] -> 2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   7*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 19622] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 5*z^4 - z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 19623] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 19624] -> 
  -3/a^8 + 4/a^6 + (3*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^4)/a^10 - (17*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 - (8*z^6)/a^8 + 
   (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19625] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 + 19*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 19626] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19627] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - 
   2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 19628] -> a^(-8) - 2/a^4 + a^(-2) + a^2 - z^2/a^6 - 
   (3*z^2)/a^4 - a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 19629] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + 
   a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 19630] -> a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + 
   2*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + z^4 - a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 19631] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   5*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 19632] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 19633] -> -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19634] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 
   2*a^4 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19635] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 + 
   z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 19636] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 19637] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19638] -> 2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 19639] -> 
  2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + 
   (4*z^4)/a^2 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 19640] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^4 + 3*a^2*z^4 - 2*z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 19641] -> 
  1 - a^2 + 2*a^4 - a^6 + a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 19642] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 19643] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 5*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + 6*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 19644] -> a^(-2) - a^2 + a^4 + z^2 + 
   z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 19645] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 19646] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 
   (4*z^2)/a^8 + (24*z^2)/a^6 - (33*z^2)/a^4 + (14*z^2)/a^2 - z^4/a^8 + 
   (20*z^4)/a^6 - (42*z^4)/a^4 + (14*z^4)/a^2 + (7*z^6)/a^6 - (26*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19647] -> a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 
   5/a^6 + z^2/a^14 - (11*z^2)/a^12 + (25*z^2)/a^10 - (23*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^4)/a^12 + (26*z^4)/a^10 - (30*z^4)/a^8 + 
   (16*z^4)/a^6 + (10*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 19648] -> 
  -1 - 2/a^4 + 4/a^2 - 8*z^2 - z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 - 
   10*z^4 - z^4/a^6 - (7*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19649] -> a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 
   4/a^6 - (7*z^2)/a^12 + (19*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^4)/a^12 + (20*z^4)/a^10 - (27*z^4)/a^8 + (16*z^4)/a^6 + 
   (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 19650] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + 
   3*z^4 + (6*z^4)/a^6 - (14*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19651] -> -5 + 12*a^2 - 6*a^4 - 11*z^2 - 
   (2*z^2)/a^2 + 34*a^2*z^2 - 15*a^4*z^2 - 10*z^4 - z^4/a^2 + 42*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 19652] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 6*z^2 - z^2/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 
   7*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19653] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   8*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 19654] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 6*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 19655] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 19656] -> 4 - 2/a^8 + 3/a^6 + a^(-4) - 
   4/a^2 - a^2 + 9*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^2 - 2*a^2*z^2 + 
   7*z^4 + (2*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 19657] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + 6*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 
   10*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 19658] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   8*z^2 + z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + 11*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19659] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 19660] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 4*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 19661] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (2*z^2)/a^10 + z^2/a^8 - (9*z^2)/a^6 + 
   (7*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 19662] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 4*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^2 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 19663] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19664] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 4*a^4 - 
   3*a^6 + a^8 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 4*a^2*z^6 + z^8, Knot[14, NonAlternating, 19665] -> 
  -4 + a^(-8) - a^(-6) + 2/a^2 + 3*a^2 - 10*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 
   z^6/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19666] -> 5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 + 
   12*a^2*z^2 - 29*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 + 12*a^2*z^4 - 
   37*a^4*z^4 + 20*a^6*z^4 - 2*a^8*z^4 + 6*a^2*z^6 - 24*a^4*z^6 + 8*a^6*z^6 + 
   a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 19667] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 19668] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   5*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19669] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 
   7*a^4*z^2 - 18*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19670] -> 3/a^6 - 7/a^4 + 5/a^2 + (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (21*z^2)/a^4 + (11*z^2)/a^2 + z^4/a^8 + (6*z^4)/a^6 - 
   (29*z^4)/a^4 + (10*z^4)/a^2 + (4*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19671] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (24*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 19672] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 3*z^4 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 19673] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 19674] -> 
  3 + a^(-6) - 3/a^2 + 5*z^2 + z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19675] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 19676] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 19677] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 4*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19678] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 19679] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 19680] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + z^2/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 19681] -> 
  -3/a^6 + 5/a^4 - a^(-2) - (3*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 - (5*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19682] -> -1 + 3*a^2 - a^6 - z^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 - 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 19683] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 19684] -> -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 19685] -> 
  1 - 9*z^2 + z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 19686] -> 
  2 - a^(-2) + a^2 - a^4 - z^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19687] -> 3 + a^(-6) - 2/a^4 - a^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19688] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 19689] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 19690] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19691] -> -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + 
   17*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 19692] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^6 - 
   (17*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 19693] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^8 + (4*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 19694] -> 2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 19695] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 19696] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 19697] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   11*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 19698] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 19699] -> 
  2/a^8 - 6/a^6 + 5/a^4 - z^2/a^12 + (4*z^2)/a^10 + z^2/a^8 - (13*z^2)/a^6 + 
   (10*z^2)/a^4 + (3*z^4)/a^10 - z^4/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 - 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 19700] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^4*z^2 + 
   15*a^6*z^2 - 15*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 - 5*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 19701] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 19702] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 19703] -> -a^(-14) - a^(-10) + 3/a^8 - 
   (2*z^2)/a^14 - (3*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 19704] -> 
  -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - (2*z^2)/a^14 - z^2/a^12 + z^2/a^10 + 
   (14*z^2)/a^8 - z^4/a^14 - z^4/a^12 + (9*z^4)/a^10 + (16*z^4)/a^8 + 
   (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 19705] -> -a^(-14) + a^(-12) - 2/a^10 + 2/a^8 + 
   a^(-6) - z^2/a^14 + (8*z^2)/a^8 + (4*z^2)/a^6 + (3*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19706] -> -a^(-14) + 2/a^12 - 5/a^10 + 5/a^8 - 
   (2*z^2)/a^14 - (2*z^2)/a^10 + (15*z^2)/a^8 - z^4/a^14 - z^4/a^12 + 
   (8*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 19707] -> -a^(-14) + a^(-12) - a^(-10) + 
   2/a^6 - z^2/a^14 + z^2/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19708] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 19709] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 19710] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + (3*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 19711] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (4*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (2*z^6)/a^8 + (8*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19712] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   2*z^2 + 8*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 19713] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + 2*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 19714] -> 
  2 - 2/a^8 + 7/a^6 - 9/a^4 + 4/a^2 - a^2 + 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 19715] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - 
   (2*z^2)/a^10 + (5*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 19716] -> 
  -3/a^8 + 4/a^6 - (8*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 - (7*z^4)/a^8 + 
   (22*z^4)/a^6 - (6*z^4)/a^4 - (2*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 19717] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 - (9*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19718] -> 
  -3/a^4 + 5/a^2 - a^2 - 4*z^2 + z^2/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 - 
   a^2*z^2 - 5*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 19719] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (14*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19720] -> -1 + a^(-2) + a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 19721] -> -a^(-8) + a^(-6) + a^(-2) - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (10*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 19722] -> 
  -3 - 4/a^4 + 8/a^2 - 11*z^2 - z^2/a^6 - (9*z^2)/a^4 + (25*z^2)/a^2 - 
   11*z^4 - z^4/a^6 - (8*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19723] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   6*z^2 - z^2/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + (24*z^2)/a^2 - 8*z^4 + 
   (7*z^4)/a^6 - (29*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19724] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   30*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 19725] -> 
  a^(-14) - 5/a^12 + 6/a^10 - 3/a^8 + a^(-6) + a^(-4) - (7*z^2)/a^12 + 
   (18*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^12 + 
   (15*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19726] -> -3 + 8*a^2 - 4*a^4 - 9*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19727] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19728] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 19729] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19730] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 19731] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19732] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 19733] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 19734] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 - 4*a^2*z^2 + 6*z^4 + z^4/a^4 - (7*z^4)/a^2 - a^4*z^4 + 
   2*z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 19735] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 + 2*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 - a^2*z^6 + 
   2*a^4*z^6 - 4*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 19736] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 19737] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (3*z^2)/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + 
   (15*z^4)/a^10 - (25*z^4)/a^8 + (16*z^4)/a^6 + (7*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 19738] -> -a^(-14) - 3/a^12 + 5/a^10 - 
   (4*z^2)/a^14 - (11*z^2)/a^12 + (31*z^2)/a^10 - (4*z^4)/a^14 - 
   (9*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 19739] -> 
  4*a^6 - 3*a^8 - 6*a^4*z^2 + 22*a^6*z^2 - 10*a^8*z^2 - 11*a^4*z^4 + 
   34*a^6*z^4 - 12*a^8*z^4 - 6*a^4*z^6 + 24*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 19740] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 19741] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - (2*z^2)/a^14 - (6*z^2)/a^12 + 
   (14*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + (18*z^4)/a^10 + 
   (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 19742] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   3*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 19743] -> 5*a^10 - 3*a^12 - a^14 + 7*a^6*z^2 + 
   2*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - a^14*z^2 + 6*a^6*z^4 + 2*a^8*z^4 + 
   4*a^10*z^4 + a^12*z^4 + a^6*z^6, Knot[14, NonAlternating, 19744] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^10 + (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 19745] -> 
  -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - z^2/a^14 - (2*z^2)/a^10 + 
   (13*z^2)/a^8 + (2*z^2)/a^6 + (2*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 19746] -> 
  -2 + 2/a^2 + a^4 - 9*z^2 + z^2/a^4 + (3*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 + 
   z^4/a^4 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 19747] -> a^8 + 3*a^10 - 2*a^12 - a^14 + 
   3*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 + a^4*z^4 + 
   a^6*z^4, Knot[14, NonAlternating, 19748] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (15*z^2)/a^10 - (20*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 - (31*z^4)/a^8 + (17*z^4)/a^6 + 
   (8*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 19749] -> 
  -5/a^12 + 6/a^10 - (20*z^2)/a^12 + (35*z^2)/a^10 - (2*z^4)/a^14 - 
   (17*z^4)/a^12 + (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 19750] -> 
  -5 + 3/a^2 + 3*a^2 - 29*z^2 + (13*z^2)/a^2 + 13*a^2*z^2 - 41*z^4 + 
   (14*z^4)/a^2 + 14*a^2*z^4 - 26*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 19751] -> 
  5*a^6 - 5*a^8 + a^10 - 8*a^4*z^2 + 28*a^6*z^2 - 17*a^8*z^2 + 2*a^10*z^2 - 
   12*a^4*z^4 + 39*a^6*z^4 - 17*a^8*z^4 + a^10*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 
   7*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 19752] -> -4/a^8 + 6/a^6 - a^(-4) - z^2/a^12 + 
   (4*z^2)/a^10 - (16*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^10 - 
   (18*z^4)/a^8 + (37*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19753] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19754] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (2*z^2)/a^14 - (2*z^2)/a^12 + (5*z^2)/a^10 + (13*z^2)/a^8 - z^4/a^14 - 
   z^4/a^12 + (10*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 19755] -> 
  2*a^4 - a^8 - 4*a^2*z^2 + 9*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 19756] -> 
  6*a^10 - 5*a^12 + 6*a^6*z^2 + 3*a^8*z^2 + 10*a^10*z^2 - 3*a^12*z^2 - 
   a^14*z^2 + 6*a^6*z^4 + 3*a^8*z^4 + 5*a^10*z^4 + a^12*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 19757] -> 4 + 2/a^6 - a^(-4) - 4/a^2 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 19758] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^10 + (4*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 19759] -> -a^(-12) + a^(-10) + a^(-2) + 
   (3*z^2)/a^10 - z^2/a^8 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 19760] -> -a^(-14) - a^(-12) + 2/a^10 + 
   a^(-6) - z^2/a^14 - z^2/a^12 + (6*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19761] -> a^2 + a^6 - a^8 - 2*z^2 + 3*a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 19762] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 15*z^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 
   17*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19763] -> a^(-14) - 7/a^12 + 7/a^10 - 
   (3*z^2)/a^14 - (15*z^2)/a^12 + (32*z^2)/a^10 - (4*z^4)/a^14 - 
   (10*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 19764] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 19765] -> -3/a^12 + 2/a^10 + 2/a^8 - 
   (2*z^2)/a^14 - (7*z^2)/a^12 + (13*z^2)/a^10 + (9*z^2)/a^8 - z^4/a^14 - 
   (3*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 19766] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - (5*z^2)/a^10 + (9*z^2)/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + (7*z^4)/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 19767] -> -a^(-8) + 2/a^4 - z^2/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (8*z^4)/a^2 + (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 19768] -> 
  a^(-14) - 7/a^12 + 7/a^10 - z^2/a^14 - (19*z^2)/a^12 + (34*z^2)/a^10 - 
   (3*z^4)/a^14 - (14*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 19769] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 19770] -> -3/a^12 + 2/a^10 + 2/a^8 - 
   (2*z^2)/a^14 - (5*z^2)/a^12 + (9*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 19771] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (5*z^2)/a^12 + (15*z^2)/a^10 - 
   (13*z^2)/a^8 + (13*z^2)/a^6 - (2*z^4)/a^12 + (19*z^4)/a^10 - 
   (26*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 19772] -> -a^(-14) - 3/a^12 + 5/a^10 - 
   (2*z^2)/a^14 - (15*z^2)/a^12 + (33*z^2)/a^10 - (3*z^4)/a^14 - 
   (13*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 19773] -> 
  4*a^6 - 3*a^8 - 8*a^4*z^2 + 26*a^6*z^2 - 12*a^8*z^2 - 12*a^4*z^4 + 
   38*a^6*z^4 - 13*a^8*z^4 - 6*a^4*z^6 + 25*a^6*z^6 - 6*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 19774] -> 
  -2/a^12 + 2/a^10 + a^(-4) - (2*z^2)/a^12 + (7*z^2)/a^10 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (6*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19775] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   (2*z^2)/a^14 - (4*z^2)/a^12 + (10*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 19776] -> 
  a^4 + 2*a^6 - 2*a^8 - 4*a^2*z^2 + 7*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 - 
   4*a^2*z^4 + 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 19777] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - 
   (20*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19778] -> -5/a^12 + 6/a^10 - (2*z^2)/a^14 - 
   (16*z^2)/a^12 + (33*z^2)/a^10 - (3*z^4)/a^14 - (13*z^4)/a^12 + 
   (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 19779] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (16*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 19780] -> 
  -1 - a^(-6) + 3/a^2 - 8*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (16*z^2)/a^2 - 
   10*z^4 - z^4/a^6 - (6*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19781] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + 
   (8*z^2)/a^10 - (19*z^2)/a^8 + (16*z^2)/a^6 + (8*z^4)/a^10 - (21*z^4)/a^8 + 
   (13*z^4)/a^6 + (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 19782] -> -a^(-4) + 2/a^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (8*z^2)/a^2 + (8*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 19783] -> 
  3 - a^(-2) - a^2 + z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 2*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 19784] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 19785] -> 
  -2/a^12 + 3/a^8 - z^2/a^14 - (8*z^2)/a^12 + (11*z^2)/a^10 + (10*z^2)/a^8 - 
   z^4/a^14 - (6*z^4)/a^12 + (21*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^12 + 
   (12*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 19786] -> -3/a^12 + 3/a^10 + a^(-6) - 
   (6*z^2)/a^12 + (15*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (2*z^4)/a^12 + 
   (19*z^4)/a^10 - (21*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 19787] -> -2/a^12 + a^(-10) + a^(-8) + a^(-6) - 
   (2*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - 
   (5*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19788] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (23*z^4)/a^6 - (7*z^4)/a^4 - (6*z^6)/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19789] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (19*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 19790] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + a^2*z^2 - 8*z^4 + z^4/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 - 
   2*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 19791] -> -3 + 2/a^2 + 2*a^2 - 17*z^2 + z^2/a^4 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 + z^4/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 
   20*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19792] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 3*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19793] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 19794] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (16*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (19*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 19795] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^8 + (6*z^4)/a^6 - (28*z^4)/a^4 + (10*z^4)/a^2 + 
   (4*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 19796] -> 
  -3/a^12 + 4/a^10 - 2/a^8 + 2/a^6 - (5*z^2)/a^12 + (16*z^2)/a^10 - 
   (13*z^2)/a^8 + (13*z^2)/a^6 - (2*z^4)/a^12 + (19*z^4)/a^10 - 
   (26*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 19797] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - 8*z^2 - 
   (2*z^2)/a^2 + 28*a^2*z^2 - 13*a^4*z^2 - 10*z^4 - z^4/a^2 + 40*a^2*z^4 - 
   14*a^4*z^4 - 5*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 19798] -> 
  -2/a^12 + a^(-10) + 2/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^12 + (7*z^2)/a^10 + 
   z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - (5*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 19799] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - (2*z^2)/a^14 - (4*z^2)/a^12 + 
   (9*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + (14*z^4)/a^10 + 
   (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 19800] -> 2*a^4 - a^8 - 2*a^2*z^2 + 5*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 19801] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (6*z^6)/a^8 + (17*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19802] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19803] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 19804] -> -1 + a^(-2) + a^2 - 11*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 + z^4/a^4 + (5*z^4)/a^2 + 
   9*a^2*z^4 - 19*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 19805] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19806] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 19807] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (3*z^4)/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 19808] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 + 
   z^2/a^2 + 4*a^2*z^2 - 8*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19809] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 10*z^2 + 
   z^2/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 - 13*z^4 - (14*z^4)/a^4 + 
   (36*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19810] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - (7*z^4)/a^4 - 
   (6*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 19811] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 19812] -> -1 + a^(-2) + a^2 - 14*z^2 + z^2/a^4 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - 26*z^4 + z^4/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 
   20*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19813] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + (2*z^4)/a^10 - (14*z^4)/a^8 + 
   (20*z^4)/a^6 - (6*z^4)/a^4 - (7*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19814] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (19*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 19815] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 + z^2/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 19816] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19817] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 19818] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 19819] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^14 - (5*z^2)/a^12 + (4*z^2)/a^10 + 
   (13*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + (12*z^4)/a^10 + (15*z^4)/a^8 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 19820] -> -3/a^8 + 4/a^6 - (3*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 19821] -> -a^(-12) + 3/a^10 - 6/a^8 + 
   5/a^6 + (4*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + (2*z^4)/a^12 + 
   z^4/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - 
   (8*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 19822] -> -a^(-12) + 2/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 + z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19823] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^8 + 
   (16*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 19824] -> 
  3 - a^(-4) - a^4 - 4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 - z^4/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   17*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19825] -> -a^(-14) + 3/a^12 - 7/a^10 + 6/a^8 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 - (7*z^2)/a^10 + (17*z^2)/a^8 - z^4/a^14 + 
   (4*z^4)/a^10 + (17*z^4)/a^8 + (5*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 19826] -> -a^(-14) + a^(-12) - 2/a^8 + 
   3/a^6 - z^2/a^14 + (3*z^2)/a^10 + (7*z^2)/a^6 + (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19827] -> a^8 + 4*a^10 - 4*a^12 + 12*a^8*z^2 + 
   8*a^10*z^2 - 4*a^12*z^2 - 2*a^14*z^2 + 18*a^8*z^4 + 7*a^10*z^4 + 
   a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 2*a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 19828] -> 2*a^8 + 2*a^10 - 3*a^12 + 4*a^6*z^2 + 
   8*a^8*z^2 + 4*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 5*a^6*z^4 + 7*a^8*z^4 + 
   3*a^10*z^4 + a^12*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 19829] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 19830] -> a^(-8) - 2/a^6 + 2/a^2 - 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 19831] -> 
  -a^(-12) + a^(-8) + a^(-4) - (2*z^2)/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 19832] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - z^2/a^14 - (9*z^2)/a^12 + 
   (16*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - (7*z^4)/a^12 + (25*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 19833] -> 
  2*a^4 - a^8 - a^2*z^2 + 11*a^6*z^2 - 6*a^8*z^2 - 2*a^2*z^4 + 16*a^6*z^4 - 
   6*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 19834] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - (16*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 19835] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19836] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (2*z^2)/a^12 + (10*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (9*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 19837] -> -4/a^12 + 4/a^10 + a^(-8) - 
   z^2/a^14 - (11*z^2)/a^12 + (19*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - 
   (7*z^4)/a^12 + (26*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 19838] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - 2*a^2*z^2 + a^4*z^2 + 14*a^6*z^2 - 
   10*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 18*a^6*z^4 - 8*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 19839] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19840] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 19841] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + (6*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 + (2*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 19842] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (2*z^2)/a^2 - (4*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 19843] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 19844] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 19845] -> -2 + a^(-4) + 2*a^2 - 6*z^2 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 19846] -> -3/a^12 + 5/a^10 - 4/a^8 + 
   3/a^6 - (4*z^2)/a^12 + (14*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 - 
   z^4/a^12 + (16*z^4)/a^10 - (25*z^4)/a^8 + (16*z^4)/a^6 + (7*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 19847] -> -2/a^12 + 2/a^10 + a^(-4) - z^2/a^12 + 
   (6*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19848] -> -a^(-12) - a^(-10) + 4/a^8 - 3/a^6 + 
   2/a^4 - z^2/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19849] -> -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - 
   (2*z^2)/a^14 - z^2/a^12 + z^2/a^10 + (14*z^2)/a^8 - z^4/a^14 - z^4/a^12 + 
   (9*z^4)/a^10 + (16*z^4)/a^8 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 19850] -> 
  4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 3*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 19851] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + z^2/a^2 + 21*a^2*z^2 - 9*a^4*z^2 - 
   13*z^4 + 33*a^2*z^4 - 12*a^4*z^4 - 6*z^6 + 24*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 19852] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 
   5*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 19853] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 
   8*z^4 - (9*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - 
   z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19854] -> 
  -a^(-8) + 2/a^4 - (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (7*z^4)/a^8 + 
   (17*z^4)/a^6 - (6*z^4)/a^4 - (5*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19855] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 19856] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (7*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 19857] -> 2/a^10 - 6/a^8 + 4/a^6 + 
   a^(-4) + (2*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - (7*z^4)/a^4 - (6*z^6)/a^8 + 
   (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19858] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (19*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 19859] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 - 
   7*z^4 + z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 19860] -> 
  -5 + 3/a^2 + 3*a^2 - 19*z^2 + (2*z^2)/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 
   28*z^4 + z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 20*z^6 + (4*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19861] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19862] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 19863] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 19864] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 19865] -> 
  -a^(-8) + 2/a^4 - (5*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   (6*z^4)/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19866] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 3*z^4 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 19867] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 19868] -> 
  1 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - z^6 + z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 19869] -> a^2 + a^6 - a^8 + 4*a^2*z^2 - 
   9*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   19*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 19870] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 - (19*z^2)/a^8 + (16*z^2)/a^6 - z^4/a^12 + 
   (16*z^4)/a^10 - (30*z^4)/a^8 + (17*z^4)/a^6 + (7*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 19871] -> -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - 
   (6*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19872] -> -a^(-14) - a^(-10) + 3/a^8 - 
   (2*z^2)/a^14 - (3*z^2)/a^12 + (6*z^2)/a^10 + (12*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (13*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 19873] -> 
  3*a^4 - 2*a^6 - 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 19874] -> 
  -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 19875] -> 
  -a^(-12) + 2/a^8 - a^(-6) + a^(-2) + (3*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 19876] -> -a^(-14) + a^(-8) + a^(-6) - z^2/a^14 - 
   z^2/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 + (4*z^4)/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19877] -> a^2 + a^4 - a^6 - z^2 + a^2*z^2 + 
   3*a^4*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 19878] -> 
  -a^(-12) - a^(-10) + 3/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^12 + 
   (5*z^2)/a^10 + z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + (6*z^4)/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19879] -> -a^(-14) - a^(-10) + 3/a^8 - z^2/a^14 - 
   (6*z^2)/a^12 + (9*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + 
   (16*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 19880] -> 3*a^4 - 2*a^6 - a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 19881] -> -a^(-12) + a^(-8) + a^(-6) - a^(-4) + 
   a^(-2) + (3*z^2)/a^10 + (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 19882] -> -a^(-14) + a^(-10) - a^(-8) + 
   2/a^6 - z^2/a^14 - z^2/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19883] -> 2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 19884] -> 
  3 - 4*a^2 + 2*a^4 + 8*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + a^6*z^4 + z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 19885] -> 4*a^4 - 4*a^6 + a^8 + z^2 - 4*a^2*z^2 + 
   10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 4*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4 + 3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 19886] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19887] -> -4/a^8 + 7/a^6 - 3/a^4 + a^(-2) - 
   (6*z^2)/a^8 + (22*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^8 + 
   (21*z^4)/a^6 - (30*z^4)/a^4 + (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19888] -> -2/a^8 + 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*z^4 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 19889] -> 
  -5/a^8 + 8/a^6 - 2/a^4 - z^2/a^10 - (8*z^2)/a^8 + (23*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - 
   z^6/a^10 + (2*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 19890] -> 
  2*a^8 + 3*a^10 - 5*a^12 + a^14 + 13*a^8*z^2 + 6*a^10*z^2 - 6*a^12*z^2 - 
   a^14*z^2 + 18*a^8*z^4 + 6*a^10*z^4 - a^14*z^4 + 8*a^8*z^6 + 2*a^10*z^6 + 
   a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 19891] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 11*z^2 + z^2/a^6 - (14*z^2)/a^4 + 
   (26*z^2)/a^2 - 13*z^4 - (14*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19892] -> -a^(-8) + 2/a^4 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - z^2/a^4 - (8*z^4)/a^8 + (21*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 19893] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 29*z^2 - (4*z^2)/a^4 + (23*z^2)/a^2 + 
   11*a^2*z^2 - 38*z^4 - z^4/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19894] -> -a^(-16) + 5/a^14 - 12/a^12 + 9/a^10 + 
   (3*z^2)/a^14 - (27*z^2)/a^12 + (37*z^2)/a^10 - (2*z^4)/a^14 - 
   (19*z^4)/a^12 + (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 19895] -> 
  8*a^6 - 12*a^8 + 6*a^10 - a^12 - 5*a^4*z^2 + 26*a^6*z^2 - 26*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 - 10*a^4*z^4 + 34*a^6*z^4 - 23*a^8*z^4 + 
   4*a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 9*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 19896] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 - z^2/a^6 + (10*z^2)/a^4 - 
   (10*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 + z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19897] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 
   6*z^2 - (6*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 19898] -> -a^(-8) + a^(-6) + a^(-2) - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19899] -> 3 + 2/a^4 - 4/a^2 + 7*z^2 + z^2/a^4 - 
   (8*z^2)/a^2 - 2*a^4*z^2 + 9*z^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 
   5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 19900] -> a^2 + a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19901] -> 5*a^6 - 5*a^8 + a^10 + a^4*z^2 + 
   9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19902] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 19903] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - z^2/a^12 + z^2/a^10 + (6*z^2)/a^8 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 + z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19904] -> -a^(-12) + 2/a^6 + (2*z^2)/a^10 + 
   (5*z^2)/a^6 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 19905] -> 
  2*a^8 + 2*a^10 - 3*a^12 + 13*a^8*z^2 + 5*a^10*z^2 - 3*a^12*z^2 - 
   2*a^14*z^2 + 18*a^8*z^4 + 6*a^10*z^4 + a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 
   2*a^10*z^6 + a^12*z^6 + a^8*z^8, Knot[14, NonAlternating, 19906] -> 
  2*a^6 - a^12 + 3*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   5*a^6*z^4 + 6*a^8*z^4 + a^10*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 19907] -> 
  a^6 + 3*a^10 - 3*a^12 + 5*a^6*z^2 + 5*a^8*z^2 + 5*a^10*z^2 - 2*a^12*z^2 - 
   a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + 3*a^10*z^4 + a^12*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 19908] -> a^(-8) - a^(-6) + a^2 - z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 19909] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^14 - 
   (6*z^2)/a^12 + (14*z^2)/a^10 - (19*z^2)/a^8 + (15*z^2)/a^6 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (29*z^4)/a^8 + (16*z^4)/a^6 + 
   (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 19910] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + (7*z^4)/a^8 - (9*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 19911] -> 
  -a^(-10) + a^(-8) + a^(-2) + 2*z^2 + (3*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 19912] -> 
  a^6 + a^8 + a^10 - 2*a^12 + 5*a^6*z^2 + 6*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - 
   a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + 2*a^10*z^4 + a^12*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 19913] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) - 4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   4*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 19914] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 3*z^2 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 19915] -> a^(-8) - 2/a^6 + 2/a^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 19916] -> 
  a^(-6) - a^(-4) + a^2 - z^2 - (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 19917] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 19918] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 19919] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) + (5*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 19920] -> 
  a^(-10) - 7/a^8 + 10/a^6 - 4/a^4 + a^(-2) + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (32*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (38*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 19921] -> a^(-14) - 5/a^12 + 7/a^10 - 6/a^8 + 
   4/a^6 - (8*z^2)/a^12 + (24*z^2)/a^10 - (25*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^4)/a^12 + (25*z^4)/a^10 - (38*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 19922] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 3*z^2 + 18*a^2*z^2 - 30*a^4*z^2 + 
   20*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 23*a^2*z^4 - 40*a^4*z^4 + 17*a^6*z^4 - 
   a^8*z^4 - z^6 + 12*a^2*z^6 - 25*a^4*z^6 + 7*a^6*z^6 + 2*a^2*z^8 - 
   8*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 19923] -> 
  -2/a^8 + 2/a^6 + a^(-4) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 19924] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (7*z^4)/a^10 - 
   (8*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19925] -> 1 - a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 
   a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   10*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 19926] -> 
  3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (10*z^2)/a^4 - (12*z^2)/a^2 + 2*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19927] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 19928] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (9*z^2)/a^6 - (14*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 + (7*z^4)/a^6 - (19*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19929] -> -5 + 3/a^2 + 3*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19930] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 19931] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   4*a^2*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 
   11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19932] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 19933] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (15*z^2)/a^8 + (31*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (38*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 19934] -> 
  -2 - 3/a^4 + 6/a^2 - 11*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 
   2*a^2*z^2 - 17*z^4 + z^4/a^6 - (13*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 
   10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 19935] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 8*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 19936] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - a^2*z^2 - a^4*z^2 + 15*a^6*z^2 - 6*a^8*z^2 - 
   a^10*z^2 - a^2*z^4 + a^4*z^4 + 11*a^6*z^4 - a^10*z^4 + a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 19937] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 19938] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 19939] -> 
  2*a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19940] -> 2/a^10 - 4/a^8 + 3/a^4 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 19941] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 19942] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 19943] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19944] -> -4/a^12 + 4/a^10 + a^(-8) - 
   (2*z^2)/a^14 - (6*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (15*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 19945] -> 
  -1 - 2/a^4 + 4/a^2 - 9*z^2 - z^2/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 20*z^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 19946] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19947] -> a^(-14) - 7/a^12 + 7/a^10 + z^2/a^16 - 
   (4*z^2)/a^14 - (16*z^2)/a^12 + (33*z^2)/a^10 - (5*z^4)/a^14 - 
   (11*z^4)/a^12 + (52*z^4)/a^10 - z^6/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 19948] -> 
  -a^(-8) + 2/a^4 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 + (4*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19949] -> -a^(-14) + 2/a^12 - 5/a^10 + 5/a^8 - 
   z^2/a^14 + z^2/a^12 - (7*z^2)/a^10 + (18*z^2)/a^8 - (2*z^4)/a^10 + 
   (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 19950] -> 
  4*a^4 - 4*a^6 + a^8 - 3*z^2 + 2*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 + 
   a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - z^6 + 5*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 19951] -> 1 - 4*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   4*z^6 - (4*z^6)/a^4 + (12*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 19952] -> 
  -3/a^8 + 4/a^6 + z^2/a^14 - (6*z^2)/a^12 + (10*z^2)/a^10 - (10*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^4)/a^12 + (14*z^4)/a^10 - (13*z^4)/a^8 + 
   (10*z^4)/a^6 + (5*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 19953] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 3*z^2 + 
   (4*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 19954] -> -a^(-14) - a^(-10) + 3/a^8 - z^2/a^14 - 
   z^2/a^12 + (2*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^4)/a^10 + 
   (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 19955] -> 3*a^4 - 2*a^6 - z^2 + 6*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 19956] -> 
  -a^(-12) + a^(-8) + a^(-4) + (2*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 19957] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - z^2/a^14 - z^2/a^12 + (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 + (4*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 19958] -> 
  2*a^4 - a^8 - 2*z^2 + a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + 
   2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 19959] -> 2 + a^(-4) - 2/a^2 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 19960] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 19961] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 19962] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 19963] -> -3/a^12 + 2/a^10 + 2/a^8 - 
   z^2/a^14 - (8*z^2)/a^12 + (12*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 - 
   (4*z^4)/a^12 + (17*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 19964] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 9*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 19965] -> -a^(-8) + 2/a^4 + 2*z^2 + z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19966] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 19967] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (10*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   (8*z^4)/a^8 + (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19968] -> 1 + a^(-8) - 3/a^4 + 2/a^2 - z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 19969] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 19970] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 19971] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 4*z^2 + z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19972] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 3*z^2 + (5*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + z^4/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 19973] -> 
  -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - z^2/a^14 - (4*z^2)/a^10 + 
   (17*z^2)/a^8 - z^4/a^10 + (20*z^4)/a^8 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 19974] -> -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 + 
   z^2/a^12 - z^2/a^8 + (9*z^2)/a^6 + (6*z^4)/a^6 + z^6/a^6, 
 Knot[14, NonAlternating, 19975] -> 4*a^4 - 4*a^6 + a^8 - 3*a^2*z^2 + 
   11*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 - 4*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 - 
   a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 19976] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 19977] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 19978] -> -a^(-12) - a^(-10) + 3/a^8 - 
   a^(-6) + a^(-4) + (2*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 19979] -> 
  -a^(-8) + a^(-6) + a^(-2) - 4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (21*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19980] -> -a^(-4) + 2/a^2 - 8*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 19981] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 - (6*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 19982] -> 
  -a^(-8) + 2/a^4 - z^2/a^8 + (7*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19983] -> -3 - 2/a^4 + 5/a^2 + a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + (11*z^4)/a^2 + 
   9*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 19984] -> 2/a^14 - 9/a^12 + 8/a^10 - 
   z^2/a^14 - (20*z^2)/a^12 + (34*z^2)/a^10 - (3*z^4)/a^14 - (14*z^4)/a^12 + 
   (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 19985] -> 
  7*a^6 - 9*a^8 + 3*a^10 - 4*a^4*z^2 + 23*a^6*z^2 - 21*a^8*z^2 + 5*a^10*z^2 - 
   10*a^4*z^4 + 32*a^6*z^4 - 20*a^8*z^4 + 2*a^10*z^4 - 6*a^4*z^6 + 
   23*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 19986] -> -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 - 
   z^2/a^2 + 23*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 19987] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^6 + 
   (7*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 19988] -> 
  -2/a^12 + 3/a^8 - (2*z^2)/a^14 - (5*z^2)/a^12 + (8*z^2)/a^10 + 
   (11*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 19989] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   4*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 19990] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (26*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 19991] -> 2 - a^(-2) + a^2 - a^4 + z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 19992] -> -a^(-8) + 2/a^4 - z^2/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 + (6*z^4)/a^6 - (4*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 19993] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19994] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 19995] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 19996] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   8*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 19997] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 19998] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (7*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 19999] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (26*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 20000] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (25*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20001] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 24*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20002] -> 3 - a^(-2) - a^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20003] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 - z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20004] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 
   6*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 9*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 13*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20005] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 20006] -> 1 + 3*z^2 + z^2/a^8 - (4*z^2)/a^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 20007] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 + 
   (4*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (15*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 20008] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + 
   (10*z^2)/a^2 + (11*z^4)/a^6 - (29*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20009] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - 3*z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20010] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + z^2/a^8 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 20011] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 + z^2 + 
   z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 20012] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + z^2/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20013] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 20014] -> -2/a^10 + 3/a^8 - 2/a^4 + 
   2/a^2 - z^2/a^10 + (9*z^2)/a^8 - (4*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 20015] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   3*z^2 + (4*z^2)/a^8 - (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 20016] -> -a^(-14) + a^(-12) - 2/a^10 + 2/a^8 + 
   a^(-6) - z^2/a^14 - z^2/a^12 + z^2/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 20017] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 
   3*a^4*z^2 - 2*a^6*z^2 - z^4 + 3*a^4*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 20018] -> -a^(-12) + 2/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20019] -> 2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 
   3/a^2 + 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 20020] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 - (7*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 - 
   (9*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 20021] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (7*z^2)/a^8 + (13*z^2)/a^6 - 
   (2*z^2)/a^4 - (8*z^4)/a^8 + (22*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^8 + 
   (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20022] -> -2/a^6 + 3/a^4 - (2*z^2)/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 20023] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   z^2 + z^2/a^4 - z^2/a^2 + a^6*z^2 + 2*z^4 - (3*z^4)/a^2 - 4*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20024] -> -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + 
   a^2 + z^2 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 20025] -> a^2 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 20026] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 17*z^2 + 
   (2*z^2)/a^2 + 24*a^2*z^2 - 10*a^4*z^2 - 15*z^4 + 36*a^2*z^4 - 13*a^4*z^4 - 
   6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20027] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 - (10*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 20028] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 + 3*z^2 + z^2/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 8*z^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20029] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) - 
   z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 3*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20030] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 20031] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   4*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 20032] -> 
  3 + a^(-6) - 3/a^2 + 6*z^2 - (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 20033] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 13*z^2 + (2*z^2)/a^6 - (18*z^2)/a^4 + 
   (33*z^2)/a^2 - 13*z^4 + z^4/a^6 - (17*z^4)/a^4 + (40*z^4)/a^2 - 6*z^6 - 
   (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20034] -> a^4 - a^6 + 3*a^8 - 3*a^12 + a^14 + 
   3*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 + 5*a^10*z^2 - 5*a^12*z^2 + 3*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 6*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 20035] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 20036] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (24*z^4)/a^4 + (8*z^4)/a^2 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 20037] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (22*z^2)/a^8 + (17*z^2)/a^6 + (10*z^4)/a^10 - (24*z^4)/a^8 + 
   (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 20038] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   4*z^2 + 16*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   15*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 20039] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 10*z^2 - (4*z^2)/a^2 - 9*a^2*z^2 + 
   9*a^4*z^2 - 3*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 20040] -> -a^2 + 5*a^4 - 3*a^6 - 2*z^2 - a^2*z^2 + 
   12*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 11*a^4*z^4 - 
   a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 20041] -> 2 - 2*a^2 + a^4 + 6*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 20042] -> -2 + 7*a^2 - 5*a^4 + a^6 - 8*z^2 + 
   21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 29*a^2*z^4 - 
   13*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20043] -> 
  1 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 20044] -> -a^(-8) + 2/a^4 - z^2/a^12 + 
   (5*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (7*z^4)/a^10 - 
   (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20045] -> -a^(-10) - a^(-8) + 2/a^6 + 2/a^4 - 
   a^(-2) - z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20046] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 20047] -> 7 + a^(-6) - 5/a^2 - 2*a^2 + z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20048] -> -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 - 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^4*z^2 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 20049] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - 9*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + z^4 - 7*a^2*z^4 + 6*a^4*z^4 - a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 20050] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + 
   a^4 + 6*z^2 + z^2/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 20051] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + z^4/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 - z^6 - 3*a^2*z^6, 
 Knot[14, NonAlternating, 20052] -> -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - 
   a^(-2) - z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20053] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (7*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20054] -> -a^(-10) + a^(-6) + a^(-4) + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - 
   (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (8*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20055] -> 2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 
   3/a^2 + 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 20056] -> 
  2 - a^(-8) + a^(-6) - a^2 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 20057] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^10 + 
   (7*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 - z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 20058] -> -2 - 2/a^4 + 5/a^2 - a^2 + 
   a^4 - 5*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 20059] -> 
  -2/a^12 + 7/a^10 - 9/a^8 + 3/a^6 + 2/a^4 - z^2/a^12 + (12*z^2)/a^10 - 
   (26*z^2)/a^8 + (20*z^2)/a^6 - (2*z^2)/a^4 + (5*z^4)/a^10 - (26*z^4)/a^8 + 
   (30*z^4)/a^6 - (9*z^4)/a^4 - (10*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20060] -> -8 + 3/a^2 + 8*a^2 - a^4 - a^6 - 18*z^2 + 
   (4*z^2)/a^2 + 24*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + z^4/a^2 + 
   31*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 21*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20061] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (24*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^8 + (15*z^4)/a^6 - (30*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 20062] -> 
  -2/a^12 + 7/a^10 - 10/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (12*z^2)/a^10 - 
   (25*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^10 - (24*z^4)/a^8 + 
   (28*z^4)/a^6 - (9*z^4)/a^4 - (9*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20063] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 18*z^2 + 
   (4*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + z^4/a^2 + 
   29*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 20*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20064] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (23*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (28*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 20065] -> 
  -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (7*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 20066] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   3*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 20067] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 20068] -> 3*a^2 - 8*a^4 + 11*a^6 - 5*a^8 + 
   7*a^2*z^2 - 20*a^4*z^2 + 27*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   5*a^2*z^4 - 20*a^4*z^4 + 21*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 20069] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 
   3*a^2*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 20070] -> -2/a^12 + 7/a^10 - 9/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (12*z^2)/a^10 - (26*z^2)/a^8 + (20*z^2)/a^6 - 
   (2*z^2)/a^4 + (5*z^4)/a^10 - (26*z^4)/a^8 + (30*z^4)/a^6 - (9*z^4)/a^4 - 
   (10*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 20071] -> 
  -8 + 3/a^2 + 8*a^2 - a^4 - a^6 - 18*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + z^4/a^2 + 31*a^2*z^4 - 19*a^4*z^4 + 
   3*a^6*z^4 - 6*z^6 + 21*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20072] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (24*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (15*z^4)/a^6 - 
   (30*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20073] -> 2 - a^(-8) + 2/a^6 - 2/a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 20074] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 + z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 20075] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20076] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20077] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 - 
   z^2/a^4 + z^2/a^2 - a^2*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 20078] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 7*a^2*z^2 - 17*a^4*z^2 + 21*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 + a^2*z^6 - 8*a^4*z^6 + 6*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 20079] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 20080] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 
   3*z^2 - 6*a^2*z^2 + 6*a^4*z^2 + a^8*z^2 + z^4 - 7*a^2*z^4 + 6*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20081] -> 1 - 2*a^2 + 3*a^4 - a^8 + z^2/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + a^8*z^2 - 2*z^4 - a^2*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 20082] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 + (5*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 - (11*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 20083] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 
   4*z^4 - (2*z^4)/a^8 + (12*z^4)/a^6 - (23*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (7*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 20084] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + z^4 + a^2*z^4 - 13*a^4*z^4 + 11*a^6*z^4 - 
   3*a^8*z^4 - 6*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20085] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   z^4/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 19*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20086] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 + 
   a^2*z^4 - 13*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - 6*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 20087] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20088] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 - 
   z^2/a^4 + z^2/a^2 - a^2*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 20089] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (12*z^4)/a^6 - 
   (23*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (17*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20090] -> 4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20091] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (9*z^2)/a^10 + (15*z^2)/a^8 + z^2/a^6 - (12*z^4)/a^10 + (32*z^4)/a^8 - 
   (6*z^4)/a^6 - (6*z^6)/a^10 + (24*z^6)/a^8 - (5*z^6)/a^6 - z^8/a^10 + 
   (8*z^8)/a^8 - z^8/a^6 + z^10/a^8, Knot[14, NonAlternating, 20092] -> 
  -a^(-10) + a^(-6) + a^(-4) - (5*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - 
   (4*z^4)/a^10 + (10*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + 
   (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 20093] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 20094] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 - z^4/a^10 + (2*z^4)/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 + z^6/a^8 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 20095] -> -a^(-10) + a^(-8) + a^(-2) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + z^6/a^8 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 20096] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (3*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (16*z^4)/a^6 - (6*z^4)/a^4 - (4*z^6)/a^8 + (17*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20097] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) - z^2/a^10 + (4*z^2)/a^6 - (2*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 20098] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^4)/a^8 + (20*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20099] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20100] -> 1 - a^(-10) + 2/a^8 - a^(-6) - z^2 + 
   z^2/a^6 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 20101] -> 
  a^(-2) - a^2 + a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 + (6*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 20102] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 4*a^2*z^2 - 2*a^4*z^2 - 
   5*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 20103] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20104] -> a^2 + a^4 - a^6 + 2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20105] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (2*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 20106] -> 
  a^2 + a^6 - a^8 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*z^4 - 
   4*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 20107] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 12*z^4 + z^4/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 6*z^6 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20108] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20109] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20110] -> a^(-2) - a^2 + a^4 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 4*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 + 
   8*a^2*z^4 - a^4*z^4 - 6*z^6 - z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 20111] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20112] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20113] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20114] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20115] -> 2/a^14 - 7/a^12 + 10/a^10 - 10/a^8 + 
   6/a^6 + z^2/a^14 - (11*z^2)/a^12 + (25*z^2)/a^10 - (27*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^4)/a^12 + (24*z^4)/a^10 - (33*z^4)/a^8 + 
   (17*z^4)/a^6 + (9*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20116] -> 
  -7 + 17*a^2 - 10*a^4 + a^6 - 17*z^2 + 43*a^2*z^2 - 20*a^4*z^2 + a^6*z^2 - 
   15*z^4 + 47*a^2*z^4 - 16*a^4*z^4 - 6*z^6 + 27*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20117] -> 
  6/a^14 - 17/a^12 + 12/a^10 + (2*z^2)/a^16 + (3*z^2)/a^14 - (38*z^2)/a^12 + 
   (42*z^2)/a^10 + z^4/a^16 - (4*z^4)/a^14 - (27*z^4)/a^12 + (56*z^4)/a^10 - 
   (2*z^6)/a^14 - (6*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 20118] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (2*z^2)/a^16 - (4*z^2)/a^14 - (21*z^2)/a^12 + (30*z^2)/a^10 + 
   (3*z^2)/a^8 - (6*z^4)/a^14 - (7*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 20119] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 17*z^2 - (2*z^2)/a^6 - 8*a^2*z^2 + 14*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 20120] -> 3/a^12 - 8/a^10 + 4/a^8 + 
   2/a^6 + (2*z^2)/a^12 - (11*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   z^6/a^10 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 20121] -> 2/a^14 - 5/a^12 + 3/a^10 - 2/a^8 + 
   3/a^6 + z^2/a^14 - (9*z^2)/a^12 + (15*z^2)/a^10 - (14*z^2)/a^8 + 
   (13*z^2)/a^6 - (3*z^4)/a^12 + (19*z^4)/a^10 - (26*z^4)/a^8 + 
   (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20122] -> 
  -5 + 10*a^2 - 2*a^4 - 2*a^6 - 15*z^2 + 33*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 - 
   14*z^4 + 42*a^2*z^4 - 9*a^4*z^4 - a^6*z^4 - 6*z^6 + 26*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20123] -> 2/a^16 - a^(-14) - 9/a^12 + 9/a^10 + 
   (3*z^2)/a^16 - (6*z^2)/a^14 - (24*z^2)/a^12 + (37*z^2)/a^10 + z^4/a^16 - 
   (7*z^4)/a^14 - (18*z^4)/a^12 + (54*z^4)/a^10 - (2*z^6)/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 20124] -> a^(-14) - 2/a^12 + a^(-10) - 3/a^8 + 
   4/a^6 - (3*z^2)/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20125] -> -2 - a^(-2) + 8*a^2 - 3*a^4 - a^6 + z^2 - 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 20126] -> a^(-16) + a^(-14) - 8/a^12 + 
   5/a^10 + 2/a^8 + z^2/a^16 - (2*z^2)/a^14 - (14*z^2)/a^12 + (14*z^2)/a^10 + 
   (10*z^2)/a^8 - (2*z^4)/a^14 - (6*z^4)/a^12 + (17*z^4)/a^10 + 
   (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20127] -> -3 + 3*a^2 + 6*a^4 - 5*a^6 - 7*z^2 + 
   2*a^2*z^2 + 30*a^4*z^2 - 16*a^6*z^2 - 5*z^4 + 45*a^4*z^4 - 17*a^6*z^4 - 
   z^6 + 30*a^4*z^6 - 7*a^6*z^6 + 9*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 20128] -> 2/a^14 - 3/a^12 - 4/a^10 + 6/a^8 + 
   z^2/a^14 - z^2/a^12 - (16*z^2)/a^10 + (23*z^2)/a^8 + (6*z^4)/a^12 - 
   (23*z^4)/a^10 + (28*z^4)/a^8 + (5*z^6)/a^12 - (18*z^6)/a^10 + 
   (13*z^6)/a^8 + z^8/a^12 - (7*z^8)/a^10 + (2*z^8)/a^8 - z^10/a^10, 
 Knot[14, NonAlternating, 20129] -> 7 - 5/a^2 + 3*a^2 - 4*a^4 + 31*z^2 - 
   (17*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 46*z^4 - (17*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + 30*z^6 - (7*z^6)/a^2 - a^4*z^6 + 9*z^8 - z^8/a^2 + z^10, 
 Knot[14, NonAlternating, 20130] -> -a^(-2) + a^2 + 5*a^4 - 4*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - z^4 - z^4/a^2 + 
   11*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 20131] -> 
  a^(-14) - 6/a^10 + 5/a^8 + a^(-6) + z^2/a^12 - (10*z^2)/a^10 + 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^4)/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 20132] -> 
  8 - a^(-4) - 3/a^2 - a^2 - 2*a^4 + 19*z^2 - (5*z^2)/a^4 - 3*a^2*z^2 - 
   3*a^4*z^2 + 18*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 
   7*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20133] -> 2/a^14 - 7/a^12 + 10/a^10 - 10/a^8 + 
   6/a^6 + z^2/a^14 - (11*z^2)/a^12 + (25*z^2)/a^10 - (27*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^4)/a^12 + (24*z^4)/a^10 - (33*z^4)/a^8 + 
   (17*z^4)/a^6 + (9*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20134] -> 
  -7 + 17*a^2 - 10*a^4 + a^6 - 17*z^2 + 43*a^2*z^2 - 20*a^4*z^2 + a^6*z^2 - 
   15*z^4 + 47*a^2*z^4 - 16*a^4*z^4 - 6*z^6 + 27*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20135] -> 
  6/a^14 - 17/a^12 + 12/a^10 + (2*z^2)/a^16 + (3*z^2)/a^14 - (38*z^2)/a^12 + 
   (42*z^2)/a^10 + z^4/a^16 - (4*z^4)/a^14 - (27*z^4)/a^12 + (56*z^4)/a^10 - 
   (2*z^6)/a^14 - (6*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 20136] -> -7 + a^(-6) - 10/a^4 + 17/a^2 - 17*z^2 + 
   z^2/a^6 - (20*z^2)/a^4 + (43*z^2)/a^2 - 15*z^4 - (16*z^4)/a^4 + 
   (47*z^4)/a^2 - 6*z^6 - (6*z^6)/a^4 + (27*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 20137] -> 
  2/a^14 - 7/a^12 + 10/a^10 - 10/a^8 + 6/a^6 + z^2/a^14 - (11*z^2)/a^12 + 
   (25*z^2)/a^10 - (27*z^2)/a^8 + (17*z^2)/a^6 - (4*z^4)/a^12 + 
   (24*z^4)/a^10 - (33*z^4)/a^8 + (17*z^4)/a^6 + (9*z^6)/a^10 - 
   (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20138] -> 2/a^10 - 11/a^8 + 17/a^6 - 10/a^4 + 
   3/a^2 + (3*z^2)/a^10 - (22*z^2)/a^8 + (44*z^2)/a^6 - (27*z^2)/a^4 + 
   (7*z^2)/a^2 + (2*z^4)/a^10 - (19*z^4)/a^8 + (45*z^4)/a^6 - (28*z^4)/a^4 + 
   (5*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20139] -> -2/a^12 + 6/a^10 - 5/a^8 - 2/a^6 + 
   4/a^4 - z^2/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 - (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 20140] -> 
  -6 - 2/a^6 + 3/a^4 + 3/a^2 + 3*a^2 - 11*z^2 + z^2/a^6 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 
   z^6 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 20141] -> 2*a^6 + a^8 - 2*a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 
   2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 + a^4*z^8, Knot[14, NonAlternating, 20142] -> 
  a^4 + 2*a^8 - 2*a^10 - z^2 + 2*a^2*z^2 + 3*a^4*z^2 + 4*a^8*z^2 - a^10*z^2 - 
   z^4 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + a^8*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20143] -> 4/a^16 - 9/a^14 + a^(-12) + 5/a^10 + 
   (6*z^2)/a^16 - (26*z^2)/a^14 + (7*z^2)/a^12 + (25*z^2)/a^10 + 
   (2*z^4)/a^16 - (25*z^4)/a^14 + (21*z^4)/a^12 + (41*z^4)/a^10 - 
   (9*z^6)/a^14 + (21*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20144] -> 
  12 - a^(-4) - 4/a^2 - 6*a^2 + 28*z^2 - (4*z^2)/a^4 - (4*z^2)/a^2 - 
   13*a^2*z^2 + 27*z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 12*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20145] -> 4/a^12 - 11/a^10 + 7/a^8 + a^(-6) + 
   (6*z^2)/a^12 - (22*z^2)/a^10 + (17*z^2)/a^8 + (4*z^2)/a^6 + (4*z^4)/a^12 - 
   (16*z^4)/a^10 + (13*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 20146] -> 
  2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + (2*z^2)/a^16 - (9*z^2)/a^14 - 
   (9*z^2)/a^12 + (22*z^2)/a^10 + (5*z^2)/a^8 - (7*z^4)/a^14 + (2*z^4)/a^12 + 
   (26*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20147] -> 4 - 3/a^4 + 3/a^2 - 3*a^2 + 7*z^2 - 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 20148] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 20149] -> -2 - a^2 + 11*a^4 - 7*a^6 - 7*z^2 - 
   2*a^2*z^2 + 38*a^4*z^2 - 19*a^6*z^2 - 5*z^4 - a^2*z^4 + 50*a^4*z^4 - 
   18*a^6*z^4 - z^6 + 31*a^4*z^6 - 7*a^6*z^6 + 9*a^4*z^8 - a^6*z^8 + 
   a^4*z^10, Knot[14, NonAlternating, 20150] -> 
  a^(-14) + a^(-12) - 9/a^10 + 8/a^8 + z^2/a^14 + (3*z^2)/a^12 - 
   (24*z^2)/a^10 + (26*z^2)/a^8 + (7*z^4)/a^12 - (28*z^4)/a^10 + 
   (29*z^4)/a^8 + (5*z^6)/a^12 - (19*z^6)/a^10 + (13*z^6)/a^8 + z^8/a^12 - 
   (7*z^8)/a^10 + (2*z^8)/a^8 - z^10/a^10, Knot[14, NonAlternating, 20151] -> 
  11 - 6/a^2 - 2*a^2 - 2*a^4 + 35*z^2 - (17*z^2)/a^2 - 5*a^2*z^2 - 
   5*a^4*z^2 + 47*z^4 - (17*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 30*z^6 - 
   (7*z^6)/a^2 - a^2*z^6 - a^4*z^6 + 9*z^8 - z^8/a^2 + z^10, 
 Knot[14, NonAlternating, 20152] -> -4 + 6*a^2 + 3*a^4 - 4*a^6 - 6*z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 - 2*z^4 - z^4/a^2 + 
   16*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 + 7*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 20153] -> 
  a^(-14) - a^(-12) - 2/a^10 + 3/a^6 + z^2/a^12 - (6*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20154] -> 3 - 2/a^4 + a^(-2) + a^2 - 2*a^4 + 
   11*z^2 - (5*z^2)/a^4 + (4*z^2)/a^2 - 3*a^4*z^2 + 13*z^4 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - a^4*z^4 + 6*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20155] -> 1 - a^(-2) - 3*a^2 + 10*a^4 - 6*a^6 + 
   2*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 + 23*a^4*z^2 - 11*a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 21*a^4*z^4 - 6*a^6*z^4 + z^6 + a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 20156] -> 
  -1 - a^(-2) + 4*a^2 + 2*a^4 - 3*a^6 - z^2/a^4 - z^2/a^2 + 9*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + z^4/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 20157] -> 
  a^(-14) - 3/a^12 + 5/a^10 - 8/a^8 + 6/a^6 - (4*z^2)/a^12 + (13*z^2)/a^10 - 
   (18*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + (11*z^4)/a^10 - (19*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 20158] -> 
  -6 + 13*a^2 - 5*a^4 - a^6 - 7*z^2 - (3*z^2)/a^2 + 29*a^2*z^2 - 10*a^4*z^2 - 
   a^6*z^2 + z^4 - (3*z^4)/a^2 + 26*a^2*z^4 - 7*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   11*a^2*z^6 - 2*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20159] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   z^2/a^16 - z^2/a^14 - (22*z^2)/a^12 + (27*z^2)/a^10 + (5*z^2)/a^8 - 
   (2*z^4)/a^14 - (11*z^4)/a^12 + (30*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20160] -> 3/a^10 - 12/a^8 + 16/a^6 - 9/a^4 + 
   3/a^2 + (4*z^2)/a^10 - (24*z^2)/a^8 + (42*z^2)/a^6 - (26*z^2)/a^4 + 
   (7*z^2)/a^2 + (2*z^4)/a^10 - (20*z^4)/a^8 + (44*z^4)/a^6 - (28*z^4)/a^4 + 
   (5*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20161] -> -14 - 4/a^4 + 12/a^2 + 10*a^2 - 3*a^4 - 
   39*z^2 - (7*z^2)/a^4 + (30*z^2)/a^2 + 23*a^2*z^2 - 4*a^4*z^2 - 45*z^4 - 
   (4*z^4)/a^4 + (29*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 27*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20162] -> 2/a^14 - 8/a^12 + 13/a^10 - 13/a^8 + 
   7/a^6 + z^2/a^14 - (13*z^2)/a^12 + (33*z^2)/a^10 - (36*z^2)/a^8 + 
   (20*z^2)/a^6 - (5*z^4)/a^12 + (31*z^4)/a^10 - (43*z^4)/a^8 + 
   (20*z^4)/a^6 + (11*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20163] -> 
  -6 + 13*a^2 - 5*a^4 - a^6 - 12*z^2 - z^2/a^2 + 30*a^2*z^2 - 5*a^4*z^2 - 
   4*a^6*z^2 - 7*z^4 - z^4/a^2 + 29*a^2*z^4 + 2*a^4*z^4 - 4*a^6*z^4 - z^6 + 
   13*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 20164] -> a^(-14) - 3/a^12 + 5/a^10 - 8/a^8 + 
   6/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (16*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - 
   (2*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 20165] -> -5 - 4/a^4 + 8/a^2 + 4*a^2 - 2*a^4 - 
   8*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 20166] -> 
  -6 + 13*a^2 - 5*a^4 - a^6 - 12*z^2 - z^2/a^2 + 30*a^2*z^2 - 5*a^4*z^2 - 
   4*a^6*z^2 - 7*z^4 - z^4/a^2 + 29*a^2*z^4 + 2*a^4*z^4 - 4*a^6*z^4 - z^6 + 
   13*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 20167] -> a^(-14) - 3/a^12 + 5/a^10 - 8/a^8 + 
   6/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (16*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - 
   (2*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 20168] -> -5 - 4/a^4 + 8/a^2 + 4*a^2 - 2*a^4 - 
   8*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 20169] -> 
  3/a^10 - 12/a^8 + 16/a^6 - 9/a^4 + 3/a^2 + (4*z^2)/a^10 - (24*z^2)/a^8 + 
   (42*z^2)/a^6 - (26*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^10 - (20*z^4)/a^8 + 
   (44*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20170] -> -14 - 4/a^4 + 12/a^2 + 10*a^2 - 3*a^4 - 
   39*z^2 - (7*z^2)/a^4 + (30*z^2)/a^2 + 23*a^2*z^2 - 4*a^4*z^2 - 45*z^4 - 
   (4*z^4)/a^4 + (29*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 27*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20171] -> 2/a^14 - 8/a^12 + 13/a^10 - 13/a^8 + 
   7/a^6 + z^2/a^14 - (13*z^2)/a^12 + (33*z^2)/a^10 - (36*z^2)/a^8 + 
   (20*z^2)/a^6 - (5*z^4)/a^12 + (31*z^4)/a^10 - (43*z^4)/a^8 + 
   (20*z^4)/a^6 + (11*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20172] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 19*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20173] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 
   2*a^6 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 20174] -> 
  2*a^6 + a^8 - 2*a^10 - 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20175] -> a^4 + 2*a^8 - 2*a^10 - z^2 + 2*a^2*z^2 + 
   3*a^4*z^2 + 4*a^8*z^2 - a^10*z^2 - z^4 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   a^8*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 20176] -> 
  -1 - 5*a^2 + 16*a^4 - 9*a^6 - 6*z^2 - 10*a^2*z^2 + 51*a^4*z^2 - 
   24*a^6*z^2 - 5*z^4 - 6*a^2*z^4 + 63*a^4*z^4 - 22*a^6*z^4 - z^6 - a^2*z^6 + 
   37*a^4*z^6 - 8*a^6*z^6 + 10*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 20177] -> 5/a^12 - 14/a^10 + 10/a^8 + 
   (11*z^2)/a^12 - (37*z^2)/a^10 + (31*z^2)/a^8 + (12*z^4)/a^12 - 
   (41*z^4)/a^10 + (33*z^4)/a^8 + (6*z^6)/a^12 - (25*z^6)/a^10 + 
   (14*z^6)/a^8 + z^8/a^12 - (8*z^8)/a^10 + (2*z^8)/a^8 - z^10/a^10, 
 Knot[14, NonAlternating, 20178] -> 15 - 7/a^2 - 7*a^2 + 43*z^2 - 
   (18*z^2)/a^2 - 18*a^2*z^2 + 52*z^4 - (17*z^4)/a^2 - 17*a^2*z^4 + 31*z^6 - 
   (7*z^6)/a^2 - 7*a^2*z^6 + 9*z^8 - z^8/a^2 - a^2*z^8 + z^10, 
 Knot[14, NonAlternating, 20179] -> -3 + 2*a^2 + 8*a^4 - 6*a^6 - 6*z^2 - 
   (2*z^2)/a^2 + 11*a^2*z^2 + 18*a^4*z^2 - 11*a^6*z^2 - 2*z^4 - z^4/a^2 + 
   15*a^2*z^4 + 17*a^4*z^4 - 6*a^6*z^4 + 7*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 20180] -> 
  3/a^12 - 7/a^10 + 2/a^8 + 3/a^6 + (5*z^2)/a^12 - (14*z^2)/a^10 + 
   (4*z^2)/a^8 + (9*z^2)/a^6 + (4*z^4)/a^12 - (11*z^4)/a^10 + (8*z^4)/a^6 + 
   z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20181] -> 7 - 2/a^4 - 4*a^2 + 15*z^2 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 + 14*z^4 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 20182] -> -5 + 9*a^2 - 3*a^6 - 8*z^2 - 
   (2*z^2)/a^2 + 21*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 - 3*z^4 - z^4/a^2 + 
   20*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 + 8*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 20183] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (3*z^2)/a^12 - (4*z^2)/a^10 - (9*z^2)/a^8 + 
   (13*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20184] -> -1 - 4/a^4 + 7/a^2 - a^2 + z^2 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 20185] -> 7/a^16 - 20/a^14 + 14/a^12 + 
   (17*z^2)/a^16 - (76*z^2)/a^14 + (73*z^2)/a^12 + (11*z^4)/a^16 - 
   (95*z^4)/a^14 + (137*z^4)/a^12 + (2*z^6)/a^16 - (51*z^6)/a^14 + 
   (122*z^6)/a^12 - (12*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 20186] -> 
  5/a^16 - 13/a^14 + 6/a^12 + 3/a^10 + (7*z^2)/a^16 - (34*z^2)/a^14 + 
   (20*z^2)/a^12 + (20*z^2)/a^10 + (2*z^4)/a^16 - (30*z^4)/a^14 + 
   (34*z^4)/a^12 + (37*z^4)/a^10 - (10*z^6)/a^14 + (27*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 20187] -> 
  3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + (5*z^2)/a^16 - (21*z^2)/a^14 + 
   z^2/a^12 + (27*z^2)/a^10 + (2*z^4)/a^16 - (23*z^4)/a^14 + (17*z^4)/a^12 + 
   (42*z^4)/a^10 - (9*z^6)/a^14 + (20*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + 
   (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 20188] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (2*z^2)/a^16 - (13*z^2)/a^14 - z^2/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 - 
   (8*z^4)/a^14 + (7*z^4)/a^12 + (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 20189] -> -1 - 4/a^4 + 7/a^2 - a^2 - 
   z^2 - z^2/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^6 + 
   (10*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 20190] -> a^(-12) - 6/a^8 + 6/a^6 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 20191] -> 
  2 - 2/a^2 + a^2 + 3*a^4 - 3*a^6 + 6*z^2 - z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 20192] -> 
  a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 3/a^4 + (2*z^2)/a^12 - (4*z^2)/a^10 + 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 20193] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 
   4*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 3*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 20194] -> 3/a^16 - 8/a^14 + 5/a^12 - 2/a^10 + 
   3/a^8 + (2*z^2)/a^16 - (15*z^2)/a^14 + (12*z^2)/a^12 + (12*z^2)/a^8 - 
   (8*z^4)/a^14 + (14*z^4)/a^12 + (8*z^4)/a^10 + (15*z^4)/a^8 - z^6/a^14 + 
   (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20195] -> -9 - 3/a^4 + 8/a^2 + 8*a^2 - 3*a^4 - 
   24*z^2 - z^2/a^6 - (2*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   24*z^4 + z^4/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 20196] -> 
  -7 + 16*a^2 - 8*a^4 - 12*z^2 - (2*z^2)/a^2 + 38*a^2*z^2 - 16*a^4*z^2 - 
   6*z^4 - z^4/a^2 + 35*a^2*z^4 - 10*a^4*z^4 - z^6 + 14*a^2*z^6 - 2*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 20197] -> 
  -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 - z^2/a^12 + (13*z^2)/a^10 - 
   (30*z^2)/a^8 + (20*z^2)/a^6 + (9*z^4)/a^10 - (27*z^4)/a^8 + (14*z^4)/a^6 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 20198] -> 2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 20199] -> -3 - 2/a^8 + 6/a^6 - 10/a^4 + 10/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20200] -> -9 - 6/a^4 + 14/a^2 + 2*a^2 - 21*z^2 - 
   (9*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (5*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 20201] -> 5/a^14 - 15/a^12 + 11/a^10 + 
   (5*z^2)/a^14 - (31*z^2)/a^12 + (32*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^14 - 
   (20*z^4)/a^12 + (37*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20202] -> -5 + 9*a^2 - 3*a^6 - 4*z^2 - z^2/a^4 - 
   z^2/a^2 + 17*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + z^4 + z^4/a^2 + 
   12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20203] -> -9 - 3/a^4 + 8/a^2 + 8*a^2 - 3*a^4 - 
   24*z^2 - z^2/a^6 - (2*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   24*z^4 + z^4/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 20204] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (25*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 20205] -> 
  -3 - 2/a^8 + 6/a^6 - 10/a^4 + 10/a^2 - 7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20206] -> 
  -10 - 5/a^4 + 13/a^2 + 3*a^2 - 21*z^2 + z^2/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (30*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (28*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20207] -> -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 - z^2 - 
   (3*z^2)/a^8 + (19*z^2)/a^6 - (28*z^2)/a^4 + (13*z^2)/a^2 - z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 20208] -> 
  -4/a^8 + 11/a^6 - 11/a^4 + 5/a^2 + z^2/a^10 - (6*z^2)/a^8 + (22*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (23*z^4)/a^4 + (6*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 20209] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (24*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (20*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (2*z^6)/a^8 + (7*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 20210] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 20211] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 19*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20212] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 
   2*a^6 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 20213] -> -9 - 3/a^4 + 8/a^2 + 8*a^2 - 
   3*a^4 - 24*z^2 - z^2/a^6 - (2*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 24*z^4 + z^4/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 20214] -> -7 + 16*a^2 - 8*a^4 - 12*z^2 - 
   (2*z^2)/a^2 + 38*a^2*z^2 - 16*a^4*z^2 - 6*z^4 - z^4/a^2 + 35*a^2*z^4 - 
   10*a^4*z^4 - z^6 + 14*a^2*z^6 - 2*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20215] -> -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 - 
   z^2/a^12 + (13*z^2)/a^10 - (30*z^2)/a^8 + (20*z^2)/a^6 + (9*z^4)/a^10 - 
   (27*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 20216] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (25*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 20217] -> 
  -3 - 2/a^8 + 6/a^6 - 10/a^4 + 10/a^2 - 7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20218] -> 
  -9 - 6/a^4 + 14/a^2 + 2*a^2 - 21*z^2 - (9*z^2)/a^4 + (29*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20219] -> 5/a^14 - 15/a^12 + 11/a^10 + 
   (5*z^2)/a^14 - (31*z^2)/a^12 + (32*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^14 - 
   (20*z^4)/a^12 + (37*z^4)/a^10 + (8*z^4)/a^8 - (4*z^6)/a^12 + 
   (18*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20220] -> -9 - 3/a^4 + 8/a^2 + 8*a^2 - 3*a^4 - 
   24*z^2 - z^2/a^6 - (2*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   24*z^4 + z^4/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 20221] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (25*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 20222] -> 
  -3 - 2/a^8 + 6/a^6 - 10/a^4 + 10/a^2 - 7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20223] -> 
  -10 - 5/a^4 + 13/a^2 + 3*a^2 - 21*z^2 + z^2/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (30*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (28*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20224] -> -3/a^8 + 10/a^6 - 12/a^4 + 6/a^2 - z^2 - 
   (3*z^2)/a^8 + (19*z^2)/a^6 - (28*z^2)/a^4 + (13*z^2)/a^2 - z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 20225] -> 
  -4/a^8 + 11/a^6 - 11/a^4 + 5/a^2 + z^2/a^10 - (6*z^2)/a^8 + (22*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (23*z^4)/a^4 + (6*z^4)/a^2 - (2*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 20226] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (24*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (20*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (2*z^6)/a^8 + (7*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 20227] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 20228] -> 
  -6 + 13*a^2 - 5*a^4 - a^6 - 12*z^2 - z^2/a^2 + 30*a^2*z^2 - 5*a^4*z^2 - 
   4*a^6*z^2 - 7*z^4 - z^4/a^2 + 29*a^2*z^4 + 2*a^4*z^4 - 4*a^6*z^4 - z^6 + 
   13*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 20229] -> a^(-14) - 3/a^12 + 5/a^10 - 8/a^8 + 
   6/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (16*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - 
   (2*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 20230] -> -5 - 4/a^4 + 8/a^2 + 4*a^2 - 2*a^4 - 
   8*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 20231] -> 
  a^(-14) - 3/a^12 + 5/a^10 - 8/a^8 + 6/a^6 - (4*z^2)/a^12 + (13*z^2)/a^10 - 
   (18*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + (11*z^4)/a^10 - (19*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 20232] -> 
  -6 + 13*a^2 - 5*a^4 - a^6 - 7*z^2 - (3*z^2)/a^2 + 29*a^2*z^2 - 10*a^4*z^2 - 
   a^6*z^2 + z^4 - (3*z^4)/a^2 + 26*a^2*z^4 - 7*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   11*a^2*z^6 - 2*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20233] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   z^2/a^16 - z^2/a^14 - (22*z^2)/a^12 + (27*z^2)/a^10 + (5*z^2)/a^8 - 
   (2*z^4)/a^14 - (11*z^4)/a^12 + (30*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20234] -> 3/a^10 - 12/a^8 + 16/a^6 - 9/a^4 + 
   3/a^2 + (4*z^2)/a^10 - (24*z^2)/a^8 + (42*z^2)/a^6 - (26*z^2)/a^4 + 
   (7*z^2)/a^2 + (2*z^4)/a^10 - (20*z^4)/a^8 + (44*z^4)/a^6 - (28*z^4)/a^4 + 
   (5*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20235] -> -14 - 4/a^4 + 12/a^2 + 10*a^2 - 3*a^4 - 
   39*z^2 - (7*z^2)/a^4 + (30*z^2)/a^2 + 23*a^2*z^2 - 4*a^4*z^2 - 45*z^4 - 
   (4*z^4)/a^4 + (29*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 27*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20236] -> 2/a^14 - 8/a^12 + 13/a^10 - 13/a^8 + 
   7/a^6 + z^2/a^14 - (13*z^2)/a^12 + (33*z^2)/a^10 - (36*z^2)/a^8 + 
   (20*z^2)/a^6 - (5*z^4)/a^12 + (31*z^4)/a^10 - (43*z^4)/a^8 + 
   (20*z^4)/a^6 + (11*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20237] -> 
  3/a^10 - 12/a^8 + 16/a^6 - 9/a^4 + 3/a^2 + (4*z^2)/a^10 - (24*z^2)/a^8 + 
   (42*z^2)/a^6 - (26*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^10 - (20*z^4)/a^8 + 
   (44*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20238] -> -14 - 4/a^4 + 12/a^2 + 10*a^2 - 3*a^4 - 
   39*z^2 - (7*z^2)/a^4 + (30*z^2)/a^2 + 23*a^2*z^2 - 4*a^4*z^2 - 45*z^4 - 
   (4*z^4)/a^4 + (29*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 27*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20239] -> 2/a^14 - 8/a^12 + 13/a^10 - 13/a^8 + 
   7/a^6 + z^2/a^14 - (13*z^2)/a^12 + (33*z^2)/a^10 - (36*z^2)/a^8 + 
   (20*z^2)/a^6 - (5*z^4)/a^12 + (31*z^4)/a^10 - (43*z^4)/a^8 + 
   (20*z^4)/a^6 + (11*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - 
   (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20240] -> 
  -2 - a^2 + 11*a^4 - 7*a^6 - 7*z^2 - 2*a^2*z^2 + 38*a^4*z^2 - 19*a^6*z^2 - 
   5*z^4 - a^2*z^4 + 50*a^4*z^4 - 18*a^6*z^4 - z^6 + 31*a^4*z^6 - 7*a^6*z^6 + 
   9*a^4*z^8 - a^6*z^8 + a^4*z^10, Knot[14, NonAlternating, 20241] -> 
  a^(-14) + a^(-12) - 9/a^10 + 8/a^8 + z^2/a^14 + (3*z^2)/a^12 - 
   (24*z^2)/a^10 + (26*z^2)/a^8 + (7*z^4)/a^12 - (28*z^4)/a^10 + 
   (29*z^4)/a^8 + (5*z^6)/a^12 - (19*z^6)/a^10 + (13*z^6)/a^8 + z^8/a^12 - 
   (7*z^8)/a^10 + (2*z^8)/a^8 - z^10/a^10, Knot[14, NonAlternating, 20242] -> 
  11 - 6/a^2 - 2*a^2 - 2*a^4 + 35*z^2 - (17*z^2)/a^2 - 5*a^2*z^2 - 
   5*a^4*z^2 + 47*z^4 - (17*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 30*z^6 - 
   (7*z^6)/a^2 - a^2*z^6 - a^4*z^6 + 9*z^8 - z^8/a^2 + z^10, 
 Knot[14, NonAlternating, 20243] -> -4 + 6*a^2 + 3*a^4 - 4*a^6 - 6*z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 - 2*z^4 - z^4/a^2 + 
   16*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 + 7*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 20244] -> 
  a^(-14) - a^(-12) - 2/a^10 + 3/a^6 + z^2/a^12 - (6*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20245] -> 3 - 2/a^4 + a^(-2) + a^2 - 2*a^4 + 
   11*z^2 - (5*z^2)/a^4 + (4*z^2)/a^2 - 3*a^4*z^2 + 13*z^4 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - a^4*z^4 + 6*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20246] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (2*z^2)/a^16 - (4*z^2)/a^14 - (21*z^2)/a^12 + (30*z^2)/a^10 + 
   (3*z^2)/a^8 - (6*z^4)/a^14 - (7*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 20247] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 17*z^2 - (2*z^2)/a^6 - 8*a^2*z^2 + 14*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 20248] -> 3/a^12 - 8/a^10 + 4/a^8 + 
   2/a^6 + (2*z^2)/a^12 - (11*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   z^6/a^10 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 20249] -> -6 + 13*a^2 - 5*a^4 - a^6 - 12*z^2 - 
   z^2/a^2 + 30*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 - 7*z^4 - z^4/a^2 + 
   29*a^2*z^4 + 2*a^4*z^4 - 4*a^6*z^4 - z^6 + 13*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + 2*a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 20250] -> 
  a^(-14) - 3/a^12 + 5/a^10 - 8/a^8 + 6/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (17*z^2)/a^8 + (15*z^2)/a^6 + (2*z^4)/a^12 + (3*z^4)/a^10 - (16*z^4)/a^8 + 
   (12*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 20251] -> 
  -5 - 4/a^4 + 8/a^2 + 4*a^2 - 2*a^4 - 8*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 20252] -> 2/a^10 - 11/a^8 + 17/a^6 - 10/a^4 + 
   3/a^2 + (3*z^2)/a^10 - (22*z^2)/a^8 + (44*z^2)/a^6 - (27*z^2)/a^4 + 
   (7*z^2)/a^2 + (2*z^4)/a^10 - (19*z^4)/a^8 + (45*z^4)/a^6 - (28*z^4)/a^4 + 
   (5*z^4)/a^2 - (8*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20253] -> -2/a^12 + 6/a^10 - 5/a^8 - 2/a^6 + 
   4/a^4 - z^2/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 - (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 20254] -> 
  -6 - 2/a^6 + 3/a^4 + 3/a^2 + 3*a^2 - 11*z^2 + z^2/a^6 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 
   z^6 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 20255] -> 2/a^14 - 5/a^12 + 3/a^10 - 2/a^8 + 
   3/a^6 + z^2/a^14 - (9*z^2)/a^12 + (15*z^2)/a^10 - (14*z^2)/a^8 + 
   (13*z^2)/a^6 - (3*z^4)/a^12 + (19*z^4)/a^10 - (26*z^4)/a^8 + 
   (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20256] -> 
  -5 + 10*a^2 - 2*a^4 - 2*a^6 - 15*z^2 + 33*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 - 
   14*z^4 + 42*a^2*z^4 - 9*a^4*z^4 - a^6*z^4 - 6*z^6 + 26*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20257] -> 2/a^16 - a^(-14) - 9/a^12 + 9/a^10 + 
   (3*z^2)/a^16 - (6*z^2)/a^14 - (24*z^2)/a^12 + (37*z^2)/a^10 + z^4/a^16 - 
   (7*z^4)/a^14 - (18*z^4)/a^12 + (54*z^4)/a^10 - (2*z^6)/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 20258] -> a^(-14) - 2/a^12 + a^(-10) - 3/a^8 + 
   4/a^6 - (3*z^2)/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20259] -> -2 - a^(-2) + 8*a^2 - 3*a^4 - a^6 + z^2 - 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 20260] -> a^(-16) + a^(-14) - 8/a^12 + 
   5/a^10 + 2/a^8 + z^2/a^16 - (2*z^2)/a^14 - (14*z^2)/a^12 + (14*z^2)/a^10 + 
   (10*z^2)/a^8 - (2*z^4)/a^14 - (6*z^4)/a^12 + (17*z^4)/a^10 + 
   (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20261] -> -3 + 3*a^2 + 6*a^4 - 5*a^6 - 7*z^2 + 
   2*a^2*z^2 + 30*a^4*z^2 - 16*a^6*z^2 - 5*z^4 + 45*a^4*z^4 - 17*a^6*z^4 - 
   z^6 + 30*a^4*z^6 - 7*a^6*z^6 + 9*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 20262] -> 2/a^14 - 3/a^12 - 4/a^10 + 6/a^8 + 
   z^2/a^14 - z^2/a^12 - (16*z^2)/a^10 + (23*z^2)/a^8 + (6*z^4)/a^12 - 
   (23*z^4)/a^10 + (28*z^4)/a^8 + (5*z^6)/a^12 - (18*z^6)/a^10 + 
   (13*z^6)/a^8 + z^8/a^12 - (7*z^8)/a^10 + (2*z^8)/a^8 - z^10/a^10, 
 Knot[14, NonAlternating, 20263] -> 7 - 5/a^2 + 3*a^2 - 4*a^4 + 31*z^2 - 
   (17*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 46*z^4 - (17*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + 30*z^6 - (7*z^6)/a^2 - a^4*z^6 + 9*z^8 - z^8/a^2 + z^10, 
 Knot[14, NonAlternating, 20264] -> -a^(-2) + a^2 + 5*a^4 - 4*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - z^4 - z^4/a^2 + 
   11*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 20265] -> 
  a^(-14) - 6/a^10 + 5/a^8 + a^(-6) + z^2/a^12 - (10*z^2)/a^10 + 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^4)/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 20266] -> 
  8 - a^(-4) - 3/a^2 - a^2 - 2*a^4 + 19*z^2 - (5*z^2)/a^4 - 3*a^2*z^2 - 
   3*a^4*z^2 + 18*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 
   7*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20267] -> 2/a^14 - 7/a^12 + 10/a^10 - 10/a^8 + 
   6/a^6 + z^2/a^14 - (11*z^2)/a^12 + (25*z^2)/a^10 - (27*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^4)/a^12 + (24*z^4)/a^10 - (33*z^4)/a^8 + 
   (17*z^4)/a^6 + (9*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20268] -> 
  -7 + 17*a^2 - 10*a^4 + a^6 - 17*z^2 + 43*a^2*z^2 - 20*a^4*z^2 + a^6*z^2 - 
   15*z^4 + 47*a^2*z^4 - 16*a^4*z^4 - 6*z^6 + 27*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20269] -> 
  6/a^14 - 17/a^12 + 12/a^10 + (2*z^2)/a^16 + (3*z^2)/a^14 - (38*z^2)/a^12 + 
   (42*z^2)/a^10 + z^4/a^16 - (4*z^4)/a^14 - (27*z^4)/a^12 + (56*z^4)/a^10 - 
   (2*z^6)/a^14 - (6*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 20270] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20271] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   18*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   z^4/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20272] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 20273] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - z^4/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 20274] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 6*z^2 + 21*a^2*z^2 - 25*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20275] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20276] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   18*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   z^4/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20277] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   19*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20278] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 20279] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - z^4/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 20280] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 6*z^2 + 21*a^2*z^2 - 25*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20281] -> -8 + 4/a^2 + 7*a^2 - 3*a^4 + a^6 - 
   18*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + 
   z^4/a^2 + 28*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 20*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20282] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   20*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + 
   (2*z^4)/a^2 + 24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 4*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 20283] -> 
  -1 + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + a^6 + z^2/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 20284] -> -5 + 3/a^2 + 3*a^2 + a^4 - 
   2*a^6 + a^8 - 9*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 
   2*a^4*z^6, Knot[14, NonAlternating, 20285] -> 
  8*a^6 - 15*a^8 + 13*a^10 - 6*a^12 + a^14 + 20*a^6*z^2 - 35*a^8*z^2 + 
   29*a^10*z^2 - 10*a^12*z^2 + a^14*z^2 + 18*a^6*z^4 - 38*a^8*z^4 + 
   25*a^10*z^4 - 4*a^12*z^4 + 7*a^6*z^6 - 24*a^8*z^6 + 9*a^10*z^6 + a^6*z^8 - 
   8*a^8*z^8 + a^10*z^8 - a^8*z^10, Knot[14, NonAlternating, 20286] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 19*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   z^8 + (2*z^8)/a^2, Knot[14, NonAlternating, 20287] -> 
  -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 18*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + z^4/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 5*z^6 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20288] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20289] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 16*z^6 + (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20290] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   6*z^2 + 21*a^2*z^2 - 25*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20291] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20292] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   18*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   z^4/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20293] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   19*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20294] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 20295] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - z^4/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 20296] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 6*z^2 + 21*a^2*z^2 - 25*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20297] -> a^6 + 3*a^8 - 3*a^10 - 2*a^6*z^2 + 
   23*a^8*z^2 - 12*a^10*z^2 - 7*a^6*z^4 + 37*a^8*z^4 - 13*a^10*z^4 - 
   5*a^6*z^6 + 25*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + 
   a^8*z^10, Knot[14, NonAlternating, 20298] -> 
  -4/a^10 + 5/a^8 - (12*z^2)/a^10 + (24*z^2)/a^8 - (2*z^2)/a^6 - 
   (13*z^4)/a^10 + (37*z^4)/a^8 - (7*z^4)/a^6 - (6*z^6)/a^10 + (25*z^6)/a^8 - 
   (5*z^6)/a^6 - z^8/a^10 + (8*z^8)/a^8 - z^8/a^6 + z^10/a^8, 
 Knot[14, NonAlternating, 20299] -> a^6 + 3*a^8 - 3*a^10 + 19*a^8*z^2 - 
   10*a^10*z^2 - 6*a^6*z^4 + 33*a^8*z^4 - 12*a^10*z^4 - 5*a^6*z^6 + 
   24*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^8*z^10, 
 Knot[14, NonAlternating, 20300] -> -2/a^10 + a^(-8) + 2/a^6 - 
   (11*z^2)/a^10 + (20*z^2)/a^8 - z^2/a^6 - (13*z^4)/a^10 + (36*z^4)/a^8 - 
   (7*z^4)/a^6 - (6*z^6)/a^10 + (25*z^6)/a^8 - (5*z^6)/a^6 - z^8/a^10 + 
   (8*z^8)/a^8 - z^8/a^6 + z^10/a^8, Knot[14, NonAlternating, 20301] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 3*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 - 
   2*a^4*z^4 + 6*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 20302] -> -3/a^10 + 3/a^8 + a^(-6) - (6*z^2)/a^10 + 
   (11*z^2)/a^8 + (4*z^2)/a^6 - (4*z^4)/a^10 + (11*z^4)/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^4 - z^6/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 20303] -> 
  2*a^6 + a^8 - 2*a^10 + 5*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 - 2*a^4*z^4 + 
   6*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 20304] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (5*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 - (4*z^4)/a^10 + (9*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 20305] -> 3*a^6 - a^8 - a^10 - 2*a^4*z^2 + 
   11*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 20306] -> -2/a^10 + 3/a^8 - 2/a^6 + 
   2/a^4 - (3*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (20*z^4)/a^6 - (7*z^4)/a^4 - (4*z^6)/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20307] -> a^4 + a^6 - a^10 - a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 20308] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20309] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 5*a^6*z^2 + 
   7*a^8*z^2 - 4*a^10*z^2 - 6*a^4*z^4 + 17*a^6*z^4 - a^8*z^4 - a^10*z^4 - 
   5*a^4*z^6 + 17*a^6*z^6 - 4*a^8*z^6 - a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 20310] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (5*z^2)/a^10 + (5*z^2)/a^8 + (9*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^4)/a^10 + (9*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 20311] -> a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 20312] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 20313] -> 
  a^4 + a^6 - a^10 - 2*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - a^10*z^2 - 
   3*a^2*z^4 + 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 20314] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20315] -> 2*a^4 - a^6 + a^8 - a^10 - z^2 + 
   2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - z^4 + 2*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 20316] -> -a^(-10) + a^(-8) + a^(-2) - z^2 + 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 20317] -> 6*a^6 - 10*a^8 + 9*a^10 - 5*a^12 + a^14 + 
   17*a^6*z^2 - 26*a^8*z^2 + 22*a^10*z^2 - 7*a^12*z^2 + 17*a^6*z^4 - 
   32*a^8*z^4 + 21*a^10*z^4 - 2*a^12*z^4 + 7*a^6*z^6 - 23*a^8*z^6 + 
   8*a^10*z^6 + a^6*z^8 - 8*a^8*z^8 + a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 20318] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   z^4/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20319] -> 4*a^2 - 10*a^4 + 13*a^6 - 7*a^8 + a^10 + 
   8*a^2*z^2 - 23*a^4*z^2 + 28*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 + 
   5*a^2*z^4 - 21*a^4*z^4 + 21*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 20320] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 
   6*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 20321] -> -a^(-12) + 2/a^6 - z^2/a^12 + z^2/a^10 + 
   z^2/a^8 + (8*z^2)/a^6 + (2*z^4)/a^12 - z^4/a^10 - z^4/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20322] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 20323] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 20324] -> 
  a^4 + 2*a^8 - 2*a^10 + 4*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 4*a^4*z^4 - 
   3*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 + a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 + 
   a^10*z^6 - a^6*z^8 - a^8*z^8, Knot[14, NonAlternating, 20325] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^4)/a^10 + z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20326] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - 
   z^4/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 20327] -> 
  a^4 + a^6 - a^10 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + a^10*z^2 + a^2*z^4 - 
   3*a^6*z^4 - a^8*z^4 + a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 20328] -> -2/a^10 + 2/a^8 + a^(-4) + (3*z^2)/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 20329] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 
   z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 20330] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 15*z^2 + 
   z^2/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 25*z^4 - (6*z^4)/a^4 + 
   (25*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - z^6/a^4 + (12*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 20331] -> 
  4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 4*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 20332] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20333] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + 
   a^2 - 14*z^2 + z^2/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (5*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20334] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20335] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 
   (5*z^4)/a^8 + (17*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (10*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 20336] -> 
  -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (11*z^2)/a^10 - 
   (22*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 + (6*z^4)/a^10 - (25*z^4)/a^8 + 
   (26*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (19*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20337] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 20338] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20339] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 6*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20340] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 20341] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 
   5*z^4 + (5*z^4)/a^6 - (17*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20342] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + 2*a^6*z^6, Knot[14, NonAlternating, 20343] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 
   3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 20344] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 14*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20345] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20346] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^8 + (17*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20347] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 20348] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20349] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 6*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20350] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 20351] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 
   5*z^4 + (5*z^4)/a^6 - (17*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20352] -> 6*a^6 - 10*a^8 + 9*a^10 - 5*a^12 + a^14 + 
   17*a^6*z^2 - 26*a^8*z^2 + 22*a^10*z^2 - 7*a^12*z^2 + 17*a^6*z^4 - 
   32*a^8*z^4 + 21*a^10*z^4 - 2*a^12*z^4 + 7*a^6*z^6 - 23*a^8*z^6 + 
   8*a^10*z^6 + a^6*z^8 - 8*a^8*z^8 + a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 20353] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   z^4/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20354] -> 4*a^2 - 10*a^4 + 13*a^6 - 7*a^8 + a^10 + 
   8*a^2*z^2 - 23*a^4*z^2 + 28*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 + 
   5*a^2*z^4 - 21*a^4*z^4 + 21*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 - a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 20355] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 
   6*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 5*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 20356] -> 3/a^6 - 7/a^4 + 5/a^2 - z^2 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 20357] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 20358] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (14*z^2)/a^10 - 
   (27*z^2)/a^8 + (13*z^2)/a^6 + (4*z^2)/a^4 + (10*z^4)/a^10 - (26*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 20359] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 20360] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (28*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20361] -> 
  a^(-14) - a^(-12) - 3/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (10*z^2)/a^10 + 
   (10*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^12 - (10*z^4)/a^10 + (11*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 20362] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 
   15*z^2 - z^2/a^4 - (5*z^2)/a^2 - 3*a^4*z^2 + 17*z^4 - (4*z^4)/a^2 - 
   a^4*z^4 + 7*z^6 - z^6/a^2 + z^8, Knot[14, NonAlternating, 20363] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 20364] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - 
   (4*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 20365] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 9*z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 20366] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 20367] -> 
  -4 + 8*a^2 - a^4 - 2*a^6 - 8*z^2 + 12*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 - 
   5*z^4 + 6*a^2*z^4 + 28*a^4*z^4 - 12*a^6*z^4 - z^6 + a^2*z^6 + 23*a^4*z^6 - 
   6*a^6*z^6 + 8*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 20368] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + (6*z^4)/a^8 - (15*z^4)/a^6 + 
   (8*z^4)/a^4 + (5*z^6)/a^8 - (17*z^6)/a^6 + (5*z^6)/a^4 + z^8/a^8 - 
   (7*z^8)/a^6 + z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 20369] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + z^8, Knot[14, NonAlternating, 20370] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (6*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 20371] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 20372] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 20373] -> -a^4 + 4*a^6 - 2*a^10 - 2*a^2*z^2 + 
   4*a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 
   2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + a^8*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 20374] -> -a^(-4) + 2/a^2 + 3*z^2 - 
   z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 20375] -> 3/a^16 - 7/a^14 + 5/a^10 + (5*z^2)/a^16 - 
   (24*z^2)/a^14 + (8*z^2)/a^12 + (24*z^2)/a^10 + (2*z^4)/a^16 - 
   (26*z^4)/a^14 + (26*z^4)/a^12 + (39*z^4)/a^10 - (10*z^6)/a^14 + 
   (25*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20376] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + z^2/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 + z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 20377] -> 
  -3/a^4 + 5/a^2 - a^2 - z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 20378] -> -6 + 14*a^2 - 7*a^4 - 8*z^2 - 
   (3*z^2)/a^2 + 32*a^2*z^2 - 14*a^4*z^2 - (3*z^4)/a^2 + 29*a^2*z^4 - 
   9*a^4*z^4 + 3*z^6 - z^6/a^2 + 12*a^2*z^6 - 2*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20379] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^4 - z^2/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - z^6 - z^6/a^2 + 
   2*a^2*z^6, Knot[14, NonAlternating, 20380] -> 
  5*a^8 - 4*a^10 - 2*a^2*z^2 + 6*a^4*z^2 + 10*a^8*z^2 - 4*a^10*z^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 - a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20381] -> -a^4 + 4*a^6 - 2*a^10 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + 2*a^2*z^4 + 
   2*a^4*z^4 + a^8*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20382] -> a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + 
   (2*z^2)/a^16 - (6*z^2)/a^14 - (17*z^2)/a^12 + (30*z^2)/a^10 + 
   (2*z^2)/a^8 - (7*z^4)/a^14 - (4*z^4)/a^12 + (37*z^4)/a^10 + (6*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (19*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 20383] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (3*z^2)/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (13*z^2)/a^6 + (6*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + 
   z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 20384] -> -4 - 3/a^4 + 6/a^2 + 4*a^2 - 2*a^4 - 
   8*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 20385] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 + 14*a^4*z^2 - 
   8*a^6*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 16*a^4*z^4 - 5*a^6*z^4 + z^6 + 
   a^2*z^6 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20386] -> -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 - 
   z^2/a^4 + 5*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - z^6 + a^4*z^6, Knot[14, NonAlternating, 20387] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 - z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20388] -> -2 - a^(-6) + a^(-4) + a^(-2) + 4*a^2 - 
   2*a^4 - z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20389] -> -3/a^6 + 5/a^4 - a^(-2) - z^2/a^8 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 20390] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + z^2/a^14 - (10*z^2)/a^12 + 
   (20*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 - (5*z^4)/a^12 + 
   (24*z^4)/a^10 - (26*z^4)/a^8 + (15*z^4)/a^6 + (10*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20391] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 20392] -> 
  -a^4 + 4*a^6 - 2*a^10 - 2*a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 
   3*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20393] -> -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^6 + 
   z^2/a^4 - 2*a^2*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 20394] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (19*z^4)/a^4 + (7*z^4)/a^2 + (7*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20395] -> a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 
   5/a^6 - (3*z^2)/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + 
   (6*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 20396] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 9*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 20397] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (3*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + 
   (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, Knot[14, NonAlternating, 20398] -> 
  -4 - 3/a^4 + 6/a^2 + 4*a^2 - 2*a^4 - 8*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 20399] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   9*a^4*z^4 + 3*a^6*z^4 + z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 20400] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 8*z^2 + 
   z^2/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20401] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   10*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 20402] -> 
  -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 
   4*a^8*z^2 - a^10*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 20403] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 6*z^2 - z^2/a^2 - 7*a^2*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - z^4/a^2 - 10*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 
   5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 20404] -> 
  3 - a^(-2) - a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 8*z^2 - (2*z^2)/a^2 - 
   6*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 7*z^4 - z^4/a^2 - 
   9*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 20405] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 20406] -> 9 - 5/a^2 - a^2 - 2*a^4 + 21*z^2 - 
   z^2/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 19*z^4 - (4*z^4)/a^2 - 
   a^4*z^4 + 7*z^6 - z^6/a^2 + z^8, Knot[14, NonAlternating, 20407] -> 
  a^(-14) - 7/a^10 + 7/a^8 - (12*z^2)/a^10 + (17*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^4)/a^12 - (8*z^4)/a^10 + (15*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 - 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 20408] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 20409] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 17*z^2 - z^2/a^6 - (3*z^2)/a^2 - 7*a^2*z^2 + 
   11*z^4 + z^4/a^4 - 2*a^2*z^4 + 2*z^6, Knot[14, NonAlternating, 20410] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + z^2/a^12 - (11*z^2)/a^10 + 
   (14*z^2)/a^8 + (2*z^2)/a^4 - z^4/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^10 - z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 20411] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 20412] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 
   4*a^2 - 27*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (26*z^2)/a^2 + 8*a^2*z^2 - 
   27*z^4 + z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 20413] -> 
  3 - a^(-2) - a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 8*z^2 - (2*z^2)/a^2 - 
   6*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 7*z^4 - z^4/a^2 - 
   9*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 5*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 20414] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 20415] -> -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 6*z^4 + (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 20416] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (28*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20417] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 15*z^2 - z^2/a^4 - (5*z^2)/a^2 - 
   3*a^4*z^2 + 17*z^4 - (4*z^4)/a^2 - a^4*z^4 + 7*z^6 - z^6/a^2 + z^8, 
 Knot[14, NonAlternating, 20418] -> a^(-14) - a^(-12) - 3/a^10 + 2/a^8 + 
   2/a^6 + z^2/a^12 - (10*z^2)/a^10 + (10*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^4)/a^12 - (10*z^4)/a^10 + (11*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 20419] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^8 - z^2/a^6 - (9*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 2*z^6 + (8*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 20420] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 20421] -> -5 + 11*a^2 - 4*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^2 + 
   22*a^2*z^4 - 5*a^4*z^4 + 8*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20422] -> a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 20423] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 20424] -> a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + 
   z^2/a^16 - (3*z^2)/a^14 - (18*z^2)/a^12 + (27*z^2)/a^10 + (4*z^2)/a^8 - 
   (4*z^4)/a^14 - (7*z^4)/a^12 + (33*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (2*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 20425] -> 5 - 2/a^2 - 6*a^2 + 8*a^4 - 
   4*a^6 + 8*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 + 
   5*z^4 - z^4/a^2 - 6*a^2*z^4 + 18*a^4*z^4 - 5*a^6*z^4 + z^6 - a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 20426] -> 
  a^(-12) - 4/a^10 + 7/a^8 - 8/a^6 + 5/a^4 - (3*z^2)/a^10 + (14*z^2)/a^8 - 
   (21*z^2)/a^6 + (12*z^2)/a^4 + (2*z^4)/a^10 + (6*z^4)/a^8 - (22*z^4)/a^6 + 
   (9*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 20427] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 20428] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (11*z^2)/a^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 20429] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20430] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 20431] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 
   4*a^2 - 27*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (26*z^2)/a^2 + 8*a^2*z^2 - 
   27*z^4 + z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 20432] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 6*z^2 - z^2/a^2 - 7*a^2*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - z^4/a^2 - 10*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 
   5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 20433] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (6*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 20434] -> 
  -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 
   4*a^8*z^2 - a^10*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 20435] -> 
  -2 + 9*a^4 - 6*a^6 - 7*z^2 + 33*a^4*z^2 - 17*a^6*z^2 - 5*z^4 + 46*a^4*z^4 - 
   17*a^6*z^4 - z^6 + 30*a^4*z^6 - 7*a^6*z^6 + 9*a^4*z^8 - a^6*z^8 + 
   a^4*z^10, Knot[14, NonAlternating, 20436] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (9*z^2)/a^8 - (21*z^2)/a^6 + (13*z^2)/a^4 + 
   (12*z^4)/a^8 - (33*z^4)/a^6 + (13*z^4)/a^4 + (6*z^6)/a^8 - (24*z^6)/a^6 + 
   (6*z^6)/a^4 + z^8/a^8 - (8*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 20437] -> -4/a^6 + 7/a^4 - 2/a^2 - (10*z^2)/a^6 + 
   (24*z^2)/a^4 - (9*z^2)/a^2 - (12*z^4)/a^6 + (34*z^4)/a^4 - (12*z^4)/a^2 - 
   (6*z^6)/a^6 + (24*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - 
   z^8/a^2 + z^10/a^4, Knot[14, NonAlternating, 20438] -> 
  -4 + 7*a^2 + a^4 - 3*a^6 - 6*z^2 - (2*z^2)/a^2 + 16*a^2*z^2 + 7*a^4*z^2 - 
   7*a^6*z^2 - 2*z^4 - z^4/a^2 + 16*a^2*z^4 + 11*a^4*z^4 - 5*a^6*z^4 + 
   7*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 20439] -> a^(-6) - 3/a^4 + 3/a^2 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^8 - (8*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 20440] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (3*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 20441] -> 6/a^16 - 18/a^14 + 13/a^12 + 
   (15*z^2)/a^16 - (71*z^2)/a^14 + (71*z^2)/a^12 + (10*z^4)/a^16 - 
   (91*z^4)/a^14 + (136*z^4)/a^12 + (2*z^6)/a^16 - (50*z^6)/a^14 + 
   (122*z^6)/a^12 - (12*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 20442] -> 
  4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + (6*z^2)/a^16 - (31*z^2)/a^14 + 
   (19*z^2)/a^12 + (20*z^2)/a^10 + (2*z^4)/a^16 - (29*z^4)/a^14 + 
   (34*z^4)/a^12 + (37*z^4)/a^10 - (10*z^6)/a^14 + (27*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 20443] -> 
  5/a^16 - 14/a^14 + 8/a^12 + 2/a^10 + (7*z^2)/a^16 - (36*z^2)/a^14 + 
   (25*z^2)/a^12 + (18*z^2)/a^10 + (2*z^4)/a^16 - (31*z^4)/a^14 + 
   (38*z^4)/a^12 + (36*z^4)/a^10 - (10*z^6)/a^14 + (28*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 20444] -> 
  2 - 5/a^6 + 11/a^4 - 7/a^2 + 3*z^2 - (8*z^2)/a^6 + (24*z^2)/a^4 - 
   (15*z^2)/a^2 + z^4 - (5*z^4)/a^6 + (19*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + 
   (7*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 20445] -> 
  -a^(-10) + 6/a^8 - 11/a^6 + 7/a^4 + z^2/a^10 + (10*z^2)/a^8 - 
   (26*z^2)/a^6 + (15*z^2)/a^4 + (3*z^4)/a^10 + (2*z^4)/a^8 - (26*z^4)/a^6 + 
   (10*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 20446] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (2*z^2)/a^16 - (14*z^2)/a^14 + (2*z^2)/a^12 + 
   (18*z^2)/a^10 + (5*z^2)/a^8 - (8*z^4)/a^14 + (8*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20447] -> 2 - 2/a^8 + 2/a^6 + 3/a^4 - 4/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 20448] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 
   3/a^2 + z^2/a^10 + (5*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 20449] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20450] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (27*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20451] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20452] -> -2 + 9*a^4 - 6*a^6 - 3*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 + 21*a^4*z^2 - 11*a^6*z^2 + z^4 - z^4/a^2 + 
   6*a^2*z^4 + 20*a^4*z^4 - 6*a^6*z^4 + z^6 + 2*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 20453] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 + (4*z^2)/a^8 - (14*z^2)/a^6 + 
   (10*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 - 
   (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 20454] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - z^2 - (7*z^2)/a^6 + (17*z^2)/a^4 - (4*z^2)/a^2 - 
   z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 + 
   z^8/a^4, Knot[14, NonAlternating, 20455] -> -4 + 7*a^2 + a^4 - 3*a^6 - 
   2*z^2 - z^2/a^4 - z^2/a^2 + 12*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + 
   z^4/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20456] -> 1 - 2/a^4 + 3/a^2 - a^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^6 + (9*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 20457] -> 
  -4 - 3/a^4 + 6/a^2 + 4*a^2 - 2*a^4 - 11*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 20458] -> 4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + 
   (6*z^2)/a^16 - (29*z^2)/a^14 + (14*z^2)/a^12 + (22*z^2)/a^10 + 
   (2*z^4)/a^16 - (28*z^4)/a^14 + (30*z^4)/a^12 + (38*z^4)/a^10 - 
   (10*z^6)/a^14 + (26*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20459] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + (2*z^2)/a^16 - (11*z^2)/a^14 - 
   (4*z^2)/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 - (8*z^4)/a^14 + (6*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20460] -> 3/a^16 - 7/a^14 + 5/a^10 + (5*z^2)/a^16 - 
   (24*z^2)/a^14 + (8*z^2)/a^12 + (24*z^2)/a^10 + (2*z^4)/a^16 - 
   (26*z^4)/a^14 + (26*z^4)/a^12 + (39*z^4)/a^10 - (10*z^6)/a^14 + 
   (25*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20461] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 20462] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 + z^8, Knot[14, NonAlternating, 20463] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 14*z^2 - z^2/a^6 + (9*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (2*z^4)/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 20464] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 + 14*a^4*z^2 - 
   8*a^6*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 16*a^4*z^4 - 5*a^6*z^4 + z^6 + 
   a^2*z^6 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20465] -> -a^(-4) + 6*a^2 - 4*a^4 - z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 5*a^4*z^4 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20466] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 
   2*a^4 + 4*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   5*z^4 + z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 20467] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (6*z^2)/a^16 - (26*z^2)/a^14 + (8*z^2)/a^12 + (24*z^2)/a^10 + 
   (2*z^4)/a^16 - (28*z^4)/a^14 + (28*z^4)/a^12 + (38*z^4)/a^10 - 
   (10*z^6)/a^14 + (26*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20468] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + (2*z^2)/a^16 - (11*z^2)/a^14 - 
   z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 - (8*z^4)/a^14 + (6*z^4)/a^12 + 
   (23*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20469] -> -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 - 
   z^2/a^4 + 5*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - z^6 + a^4*z^6, Knot[14, NonAlternating, 20470] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20471] -> 
  -7 + 3/a^6 - 10/a^4 + 13/a^2 + 2*a^2 - 15*z^2 + (6*z^2)/a^6 - 
   (22*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20472] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20473] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 20474] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 20475] -> 3/a^16 - 6/a^14 - 2/a^12 + 
   6/a^10 + (6*z^2)/a^16 - (26*z^2)/a^14 + (8*z^2)/a^12 + (24*z^2)/a^10 + 
   (2*z^4)/a^16 - (28*z^4)/a^14 + (28*z^4)/a^12 + (38*z^4)/a^10 - 
   (10*z^6)/a^14 + (26*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20476] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + (2*z^2)/a^16 - (11*z^2)/a^14 - 
   z^2/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 - (8*z^4)/a^14 + (6*z^4)/a^12 + 
   (23*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20477] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 + z^2/a^14 - (10*z^2)/a^12 + (20*z^2)/a^10 - (17*z^2)/a^8 + 
   (13*z^2)/a^6 - (5*z^4)/a^12 + (24*z^4)/a^10 - (26*z^4)/a^8 + 
   (15*z^4)/a^6 + (10*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20478] -> 
  -5 + 11*a^2 - 4*a^4 - a^6 - 9*z^2 - z^2/a^2 + 23*a^2*z^2 - 2*a^4*z^2 - 
   4*a^6*z^2 - 4*z^4 - z^4/a^2 + 20*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 
   8*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 20479] -> 1 - a^(-2) - a^2 + 6*a^4 - 4*a^6 + z^2 - 
   (2*z^2)/a^2 + 16*a^4*z^2 - 8*a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + 
   16*a^4*z^4 - 5*a^6*z^4 + z^6 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20480] -> 4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + 
   (6*z^2)/a^16 - (29*z^2)/a^14 + (14*z^2)/a^12 + (22*z^2)/a^10 + 
   (2*z^4)/a^16 - (28*z^4)/a^14 + (30*z^4)/a^12 + (38*z^4)/a^10 - 
   (10*z^6)/a^14 + (26*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20481] -> 
  2/a^14 - 6/a^12 + 5/a^10 - 3/a^8 + 3/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (21*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 - (5*z^4)/a^12 + 
   (25*z^4)/a^10 - (25*z^4)/a^8 + (15*z^4)/a^6 + (10*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20482] -> -4 - 5/a^4 + 10/a^2 - 13*z^2 + z^2/a^6 - 
   (15*z^2)/a^4 + (32*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + (41*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 20483] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + (2*z^2)/a^16 - (11*z^2)/a^14 - 
   (4*z^2)/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 - (8*z^4)/a^14 + (6*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20484] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20485] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 20486] -> -7 + 3/a^6 - 10/a^4 + 13/a^2 + 2*a^2 - 
   15*z^2 + (6*z^2)/a^6 - (22*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20487] -> 4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20488] -> 
  2 - a^(-2) - 5*a^2 + 11*a^4 - 6*a^6 + 4*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 
   25*a^4*z^2 - 11*a^6*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 + 22*a^4*z^4 - 
   6*a^6*z^4 + z^6 + 8*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20489] -> -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 + z^2 - 
   z^2/a^4 - z^2/a^2 + 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + z^4/a^2 + 
   6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20490] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 20491] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (11*z^2)/a^10 - (30*z^2)/a^8 + (28*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (27*z^4)/a^8 + (35*z^4)/a^6 - (10*z^4)/a^4 - (10*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20492] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   20*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20493] -> -5 + 11*a^2 - 4*a^4 - a^6 - 9*z^2 - 
   z^2/a^2 + 23*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - z^4/a^2 + 
   20*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 8*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 20494] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 17*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + 
   (30*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20495] -> 
  2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 20496] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20497] -> -a^(-4) + 6*a^2 - 4*a^4 - z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 5*a^4*z^4 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20498] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 
   2*a^4 + 4*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   5*z^4 + z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 20499] -> 2 + 2/a^6 - 3/a^4 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 + z^6/a^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 20500] -> 2/a^14 - 7/a^12 + 9/a^10 - 
   8/a^8 + 5/a^6 + z^2/a^14 - (11*z^2)/a^12 + (23*z^2)/a^10 - (22*z^2)/a^8 + 
   (15*z^2)/a^6 - (4*z^4)/a^12 + (23*z^4)/a^10 - (29*z^4)/a^8 + 
   (16*z^4)/a^6 + (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20501] -> 
  -3/a^6 + 5/a^4 - a^(-2) - z^2/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20502] -> a^(-16) + a^(-14) - 10/a^12 + 9/a^10 + 
   (2*z^2)/a^16 - (6*z^2)/a^14 - (17*z^2)/a^12 + (30*z^2)/a^10 + 
   (2*z^2)/a^8 - (7*z^4)/a^14 - (4*z^4)/a^12 + (37*z^4)/a^10 + (6*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (19*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 20503] -> 
  -4 - 3/a^4 + 6/a^2 + 4*a^2 - 2*a^4 - 11*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 20504] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 20505] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 8*z^2 + z^2/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 20506] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 
   2*a^2 - 10*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 20507] -> 
  2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 20508] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 20509] -> -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + (30*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20510] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 - 
   9*a^4*z^4 + 3*a^6*z^4 + z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 20511] -> a^(-10) - 7/a^8 + 14/a^6 - 12/a^4 + 
   5/a^2 + z^2/a^10 - (10*z^2)/a^8 + (31*z^2)/a^6 - (32*z^2)/a^4 + 
   (12*z^2)/a^2 - (4*z^4)/a^8 + (25*z^4)/a^6 - (38*z^4)/a^4 + (12*z^4)/a^2 + 
   (9*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 20512] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 20513] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20514] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 4*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 20515] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 
   4*a^2 - 20*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20516] -> 4 + 3/a^4 - 6/a^2 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - z^6 + z^6/a^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 20517] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 
   2*a^6 - 8*z^2 + z^2/a^4 - z^2/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - z^6 - z^6/a^2 + 
   2*a^2*z^6, Knot[14, NonAlternating, 20518] -> 
  -4 + 8*a^2 - a^4 - 2*a^6 - 8*z^2 + 12*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 - 
   5*z^4 + 6*a^2*z^4 + 28*a^4*z^4 - 12*a^6*z^4 - z^6 + a^2*z^6 + 23*a^4*z^6 - 
   6*a^6*z^6 + 8*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 20519] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + (6*z^4)/a^8 - (15*z^4)/a^6 + 
   (8*z^4)/a^4 + (5*z^6)/a^8 - (17*z^6)/a^6 + (5*z^6)/a^4 + z^8/a^8 - 
   (7*z^8)/a^6 + z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 20520] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (15*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (17*z^4)/a^6 - (5*z^4)/a^4 - (8*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20521] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 
   z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 + z^6/a^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 20522] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20523] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 20524] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20525] -> 2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 + 5*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 20526] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 20527] -> 
  5 - a^(-2) - 7*a^2 + 6*a^4 - 2*a^6 + 11*z^2 - (2*z^2)/a^2 - 17*a^2*z^2 + 
   10*a^4*z^2 - a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 
   4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, Knot[14, NonAlternating, 20528] -> 
  2 + 2/a^6 - 3/a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6 + z^6/a^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 20529] -> a^(-10) - 7/a^8 + 14/a^6 - 12/a^4 + 
   5/a^2 + z^2/a^10 - (10*z^2)/a^8 + (31*z^2)/a^6 - (32*z^2)/a^4 + 
   (12*z^2)/a^2 - (4*z^4)/a^8 + (25*z^4)/a^6 - (38*z^4)/a^4 + (12*z^4)/a^2 + 
   (9*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 20530] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (18*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20531] -> 
  2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 20532] -> 5 - a^(-2) - 7*a^2 + 6*a^4 - 2*a^6 + 
   11*z^2 - (2*z^2)/a^2 - 17*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 20533] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 20534] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (19*z^4)/a^4 + (7*z^4)/a^2 + (7*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20535] -> 2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 
   5/a^6 + z^2/a^14 - (11*z^2)/a^12 + (23*z^2)/a^10 - (22*z^2)/a^8 + 
   (15*z^2)/a^6 - (4*z^4)/a^12 + (23*z^4)/a^10 - (29*z^4)/a^8 + 
   (16*z^4)/a^6 + (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20536] -> 
  -a^(-2) + 3*a^2 + a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 + 3*z^4 - z^4/a^2 + 12*a^4*z^4 - 4*a^6*z^4 + z^6 + 
   6*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 20537] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - z^4/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 20538] -> 2 - 2/a^8 + a^(-6) + 5/a^4 - 
   5/a^2 + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 20539] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 - z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20540] -> -2 - a^(-6) + a^(-4) + a^(-2) + 4*a^2 - 
   2*a^4 - z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20541] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 
   z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 + z^6/a^6 - 
   z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 20542] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 4*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (16*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 20543] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20544] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 20545] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20546] -> 
  2/a^14 - 6/a^12 + 5/a^10 - 3/a^8 + 3/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (21*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 - (5*z^4)/a^12 + 
   (25*z^4)/a^10 - (25*z^4)/a^8 + (15*z^4)/a^6 + (10*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20547] -> -4 - 5/a^4 + 10/a^2 - 13*z^2 + z^2/a^6 - 
   (15*z^2)/a^4 + (32*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + (41*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 20548] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 20549] -> 
  1 - a^(-2) - a^2 + 6*a^4 - 4*a^6 + z^2 - (2*z^2)/a^2 + 16*a^4*z^2 - 
   8*a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + 16*a^4*z^4 - 5*a^6*z^4 + z^6 + 
   a^2*z^6 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20550] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20551] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (15*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (17*z^4)/a^6 - (5*z^4)/a^4 - (8*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20552] -> 5 - 2/a^2 - 6*a^2 + 8*a^4 - 4*a^6 + 
   8*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 18*a^4*z^4 - 5*a^6*z^4 + z^6 - a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 20553] -> 
  a^(-12) - 4/a^10 + 7/a^8 - 8/a^6 + 5/a^4 - (3*z^2)/a^10 + (14*z^2)/a^8 - 
   (21*z^2)/a^6 + (12*z^2)/a^4 + (2*z^4)/a^10 + (6*z^4)/a^8 - (22*z^4)/a^6 + 
   (9*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 20554] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 15*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + 
   (32*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 20555] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (11*z^2)/a^10 - 
   (30*z^2)/a^8 + (28*z^2)/a^6 - (5*z^2)/a^4 + (5*z^4)/a^10 - (27*z^4)/a^8 + 
   (35*z^4)/a^6 - (10*z^4)/a^4 - (10*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20556] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20557] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 20558] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 
   14*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20559] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 
   16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20560] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   6*z^2 + 21*a^2*z^2 - 25*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20561] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20562] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 20563] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 
   14*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20564] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 
   16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20565] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   18*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20566] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 25*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20567] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   29*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 20568] -> 
  -4 + 3/a^2 + 3*a^4 - a^6 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 7*z^4 - z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 20569] -> -5 - a^(-6) + 3/a^4 + 5*a^2 - a^4 - 
   9*z^2 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 20570] -> -a^(-12) + 6/a^10 - 16/a^8 + 16/a^6 - 
   4/a^4 - z^2/a^12 + (8*z^2)/a^10 - (31*z^2)/a^8 + (43*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^4)/a^10 - (23*z^4)/a^8 + (46*z^4)/a^6 - (13*z^4)/a^4 - 
   (8*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 20571] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 
   14*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20572] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 
   16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20573] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   6*z^2 + 21*a^2*z^2 - 25*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20574] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20575] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 20576] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 
   14*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20577] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 
   16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20578] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   18*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20579] -> a^(-2) - a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 20580] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   7*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20581] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20582] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 8*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 20583] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (8*z^4)/a^6 - (19*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 20584] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20585] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   2*z^2 + a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 
   3*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6, Knot[14, NonAlternating, 20586] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 2*z^2 + a^2*z^2 - 10*a^4*z^2 + 
   13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 20587] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - z^6 + 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 20588] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 - z^6 + 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20589] -> 3 - 4*a^2 + 2*a^4 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 20590] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 
   17*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 13*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 - 3*z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20591] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 
   2*a^2 - 12*z^2 + z^2/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (5*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 20592] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 20593] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^8 + (21*z^4)/a^6 - 
   (24*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + (11*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20594] -> -4 + 3/a^2 + 2*a^2 - a^6 + a^8 - 8*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20595] -> -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 
   5*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 20596] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 20597] -> 
  1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - a^(-2) + 2*z^2 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 20598] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (11*z^2)/a^10 - 
   (19*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + (6*z^4)/a^10 - (24*z^4)/a^8 + 
   (22*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^10 - (12*z^6)/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20599] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20600] -> 4/a^10 - 11/a^8 + 8/a^6 + (10*z^2)/a^10 - 
   (24*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (23*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 20601] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (23*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20602] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + 
   (7*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (7*z^4)/a^4 - 
   (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 20603] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 20604] -> 
  -a^2 + 3*a^4 - 3*a^6 + 6*a^8 - 4*a^10 - 4*a^2*z^2 + 12*a^4*z^2 - 
   5*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 - 4*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20605] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - z^2 + 
   a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 + a^8*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20606] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20607] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (7*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20608] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (24*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 20609] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^6 + (6*z^2)/a^4 + 5*a^2*z^2 - 7*z^4 + (7*z^4)/a^4 - 
   (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 20610] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + (6*z^2)/a^4 + 5*a^2*z^2 - 
   7*z^4 + (7*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20611] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (25*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20612] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + 
   z^2/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (8*z^4)/a^6 + 
   (16*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (10*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 20613] -> 
  5/a^16 - 16/a^14 + 12/a^12 + (14*z^2)/a^16 - (68*z^2)/a^14 + 
   (70*z^2)/a^12 + (10*z^4)/a^16 - (90*z^4)/a^14 + (136*z^4)/a^12 + 
   (2*z^6)/a^16 - (50*z^6)/a^14 + (122*z^6)/a^12 - (12*z^8)/a^14 + 
   (55*z^8)/a^12 - z^10/a^14 + (12*z^10)/a^12 + z^12/a^12, 
 Knot[14, NonAlternating, 20614] -> 4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + 
   (6*z^2)/a^16 - (32*z^2)/a^14 + (22*z^2)/a^12 + (19*z^2)/a^10 + 
   (2*z^4)/a^16 - (29*z^4)/a^14 + (35*z^4)/a^12 + (37*z^4)/a^10 - 
   (10*z^6)/a^14 + (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20615] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (5*z^2)/a^16 - (24*z^2)/a^14 + 
   (9*z^2)/a^12 + (24*z^2)/a^10 + (2*z^4)/a^16 - (24*z^4)/a^14 + 
   (22*z^4)/a^12 + (41*z^4)/a^10 - (9*z^6)/a^14 + (21*z^6)/a^12 + 
   (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 20616] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 + 10*a^4*z^2 - 
   7*a^6*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 14*a^4*z^4 - 5*a^6*z^4 + z^6 + 
   2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20617] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20618] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (5*z^2)/a^16 - (26*z^2)/a^14 + (13*z^2)/a^12 + (22*z^2)/a^10 + 
   (2*z^4)/a^16 - (27*z^4)/a^14 + (30*z^4)/a^12 + (38*z^4)/a^10 - 
   (10*z^6)/a^14 + (26*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20619] -> 
  -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 3*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 + 
   4*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20620] -> 3/a^16 - 9/a^14 + 6/a^12 - a^(-10) + 
   2/a^8 + (2*z^2)/a^16 - (16*z^2)/a^14 + (14*z^2)/a^12 + (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (8*z^4)/a^14 + (15*z^4)/a^12 + (9*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 20621] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 + 10*a^4*z^2 - 
   7*a^6*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 14*a^4*z^4 - 5*a^6*z^4 + z^6 + 
   2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20622] -> a^(-16) - 8/a^12 + 8/a^10 + 
   (4*z^2)/a^16 - (14*z^2)/a^14 - (8*z^2)/a^12 + (30*z^2)/a^10 + 
   (2*z^4)/a^16 - (21*z^4)/a^14 + (12*z^4)/a^12 + (43*z^4)/a^10 - 
   (9*z^6)/a^14 + (19*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20623] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (5*z^2)/a^16 - (22*z^2)/a^14 + 
   (5*z^2)/a^12 + (25*z^2)/a^10 + (2*z^4)/a^16 - (26*z^4)/a^14 + 
   (25*z^4)/a^12 + (39*z^4)/a^10 - (10*z^6)/a^14 + (25*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 20624] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + (2*z^2)/a^16 - 
   (12*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 - 
   (8*z^4)/a^14 + (8*z^4)/a^12 + (20*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 20625] -> -3/a^10 + 5/a^8 - 3/a^6 + 
   2/a^4 - z^2/a^12 - (2*z^2)/a^10 + (12*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 + (8*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 20626] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   7*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 20627] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 14*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 20628] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + 3*z^2 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + z^4/a^2 + 
   2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 20629] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 4*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20630] -> 2/a^16 - 6/a^14 + 5/a^12 - 4/a^10 + 
   4/a^8 + (2*z^2)/a^16 - (13*z^2)/a^14 + (11*z^2)/a^12 - (2*z^2)/a^10 + 
   (13*z^2)/a^8 - (8*z^4)/a^14 + (13*z^4)/a^12 + (7*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 20631] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (25*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (27*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (8*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 20632] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + z^2/a^8 - (8*z^2)/a^6 + 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 20633] -> 
  -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 3*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 + 
   4*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 - a^2*z^6 + 5*a^4*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20634] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20635] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 13*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (27*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20636] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 13*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 20637] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 + (2*z^4)/a^12 - z^4/a^10 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 20638] -> 
  2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (11*z^2)/a^12 + 
   (18*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 - (4*z^4)/a^12 + 
   (22*z^4)/a^10 - (23*z^4)/a^8 + (15*z^4)/a^6 + (9*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20639] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (3*z^2)/a^14 - (21*z^2)/a^12 + (35*z^2)/a^10 - (4*z^4)/a^14 - 
   (15*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 20640] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 13*z^2 + 30*a^2*z^2 - 10*a^4*z^2 - a^6*z^2 - 
   13*z^4 + 39*a^2*z^4 - 12*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20641] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (7*z^4)/a^10 - (5*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 20642] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - (12*z^2)/a^12 + (13*z^2)/a^10 + 
   (10*z^2)/a^8 - z^4/a^14 - (5*z^4)/a^12 + (17*z^4)/a^10 + (14*z^4)/a^8 + 
   (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20643] -> -1 - a^(-2) + 7*a^2 - 4*a^4 + 2*z^2 - 
   (4*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20644] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (5*z^2)/a^16 - (26*z^2)/a^14 + (13*z^2)/a^12 + (22*z^2)/a^10 + 
   (2*z^4)/a^16 - (27*z^4)/a^14 + (30*z^4)/a^12 + (38*z^4)/a^10 - 
   (10*z^6)/a^14 + (26*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20645] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (2*z^2)/a^16 - (12*z^2)/a^14 - 
   z^2/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 - (8*z^4)/a^14 + (7*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20646] -> -5 + 12*a^2 - 6*a^4 - 5*z^2 - 
   (4*z^2)/a^2 + 28*a^2*z^2 - 13*a^4*z^2 + 3*z^4 - (4*z^4)/a^2 + 27*a^2*z^4 - 
   9*a^4*z^4 + 4*z^6 - z^6/a^2 + 12*a^2*z^6 - 2*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20647] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - 
   z^2/a^8 + (11*z^2)/a^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + 
   (12*z^4)/a^2 - z^6 + z^6/a^6 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 20648] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 20649] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (22*z^2)/a^8 + (30*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (36*z^4)/a^6 - (10*z^4)/a^4 - (9*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20650] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (26*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20651] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (2*z^2)/a^16 - (15*z^2)/a^14 + (6*z^2)/a^12 + (15*z^2)/a^10 + 
   (6*z^2)/a^8 - (8*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 20652] -> 
  -3/a^10 + 7/a^8 - 7/a^6 + 4/a^4 - (3*z^2)/a^10 + (11*z^2)/a^8 - 
   (12*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 + (5*z^4)/a^8 - 
   (7*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 20653] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 6*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (12*z^2)/a^4 - (16*z^2)/a^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (8*z^4)/a^4 - (12*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (3*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 20654] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + 
   3*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + 
   z^4/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 20655] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 + z^2/a^14 - (8*z^2)/a^12 + (15*z^2)/a^10 - (15*z^2)/a^8 + 
   (13*z^2)/a^6 - (4*z^4)/a^12 + (20*z^4)/a^10 - (25*z^4)/a^8 + 
   (15*z^4)/a^6 + (9*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20656] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (2*z^2)/a^16 - (12*z^2)/a^14 - 
   z^2/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 - (8*z^4)/a^14 + (7*z^4)/a^12 + 
   (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20657] -> a^(-14) - 6/a^12 + 13/a^10 - 15/a^8 + 
   8/a^6 + z^2/a^14 - (10*z^2)/a^12 + (29*z^2)/a^10 - (35*z^2)/a^8 + 
   (20*z^2)/a^6 - (4*z^4)/a^12 + (25*z^4)/a^10 - (38*z^4)/a^8 + 
   (18*z^4)/a^6 + (9*z^6)/a^10 - (24*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20658] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (5*z^2)/a^16 - (22*z^2)/a^14 + 
   (5*z^2)/a^12 + (25*z^2)/a^10 + (2*z^4)/a^16 - (26*z^4)/a^14 + 
   (25*z^4)/a^12 + (39*z^4)/a^10 - (10*z^6)/a^14 + (25*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 20659] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (29*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20660] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 + z^2/a^14 - (8*z^2)/a^12 + 
   (15*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 - (25*z^4)/a^8 + (15*z^4)/a^6 + (9*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20661] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 4*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20662] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + (2*z^2)/a^16 - (9*z^2)/a^14 - (4*z^2)/a^12 + (15*z^2)/a^10 + 
   (7*z^2)/a^8 - (8*z^4)/a^14 + (5*z^4)/a^12 + (23*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 20663] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 7*z^2 - z^2/a^2 + 18*a^2*z^2 - 4*a^6*z^2 - 
   3*z^4 - z^4/a^2 + 16*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 7*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 20664] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 
   12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - z^6 + z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 20665] -> 
  4 - a^(-6) + 3/a^4 - 5/a^2 + 2*a^2 - 2*a^4 + 8*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20666] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + (26*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (23*z^4)/a^8 + (34*z^4)/a^6 - (10*z^4)/a^4 - (9*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20667] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (26*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20668] -> 2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 
   2/a^6 + z^2/a^14 - (11*z^2)/a^12 + (18*z^2)/a^10 - (11*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^4)/a^12 + (22*z^4)/a^10 - (23*z^4)/a^8 + 
   (15*z^4)/a^6 + (9*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20669] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (7*z^4)/a^10 - (5*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 20670] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (18*z^2)/a^2 - 11*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (30*z^4)/a^2 - 6*z^6 - (8*z^6)/a^4 + (23*z^6)/a^2 - z^8 - z^8/a^4 + 
   (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 20671] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - 3*z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + (8*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20672] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + (26*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (23*z^4)/a^8 + (34*z^4)/a^6 - (10*z^4)/a^4 - (9*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20673] -> a^(-16) - 8/a^12 + 8/a^10 + 
   (4*z^2)/a^16 - (14*z^2)/a^14 - (8*z^2)/a^12 + (30*z^2)/a^10 + 
   (2*z^4)/a^16 - (21*z^4)/a^14 + (12*z^4)/a^12 + (43*z^4)/a^10 - 
   (9*z^6)/a^14 + (19*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 20674] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 20675] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 - (2*z^2)/a^12 + (3*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^4)/a^12 - z^4/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20676] -> 2/a^16 - 6/a^14 + 5/a^12 - 4/a^10 + 
   4/a^8 + (2*z^2)/a^16 - (13*z^2)/a^14 + (11*z^2)/a^12 - (2*z^2)/a^10 + 
   (13*z^2)/a^8 - (8*z^4)/a^14 + (13*z^4)/a^12 + (7*z^4)/a^10 + 
   (15*z^4)/a^8 - z^6/a^14 + (7*z^6)/a^12 + (6*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^12 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 20677] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 7*z^2 - z^2/a^2 + 18*a^2*z^2 - 4*a^6*z^2 - 
   3*z^4 - z^4/a^2 + 16*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 7*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 20678] -> -a^(-12) + 6/a^10 - 16/a^8 + 16/a^6 - 
   4/a^4 - z^2/a^12 + (8*z^2)/a^10 - (31*z^2)/a^8 + (43*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^4)/a^10 - (23*z^4)/a^8 + (46*z^4)/a^6 - (13*z^4)/a^4 - 
   (8*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 20679] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + (2*z^2)/a^16 - 
   (12*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 - 
   (8*z^4)/a^14 + (8*z^4)/a^12 + (20*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 20680] -> -3/a^10 + 5/a^8 - 3/a^6 + 
   2/a^4 - z^2/a^12 - (2*z^2)/a^10 + (12*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^10 + (8*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 20681] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   7*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 20682] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - z^2/a^8 + (11*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 - z^6 + z^6/a^6 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 20683] -> 
  -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   20*a^2*z^2 - 8*a^4*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 
   5*a^4*z^4 - z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20684] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (29*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20685] -> 1 - a^(-2) + 5*a^2 - 8*a^4 + 6*a^6 - 
   2*a^8 + 3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + z^6 + 
   a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 20686] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20687] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 13*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (27*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20688] -> 1 - a^(-2) + 5*a^2 - 8*a^4 + 6*a^6 - 
   2*a^8 + 3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + z^6 + 
   a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 20689] -> 
  4 - a^(-6) + 3/a^4 - 5/a^2 + 2*a^2 - 2*a^4 + 8*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 20690] -> a^(-14) - 6/a^12 + 13/a^10 - 15/a^8 + 
   8/a^6 + z^2/a^14 - (10*z^2)/a^12 + (29*z^2)/a^10 - (35*z^2)/a^8 + 
   (20*z^2)/a^6 - (4*z^4)/a^12 + (25*z^4)/a^10 - (38*z^4)/a^8 + 
   (18*z^4)/a^6 + (9*z^6)/a^10 - (24*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20691] -> 
  -a^(-12) + 6/a^10 - 16/a^8 + 16/a^6 - 4/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (31*z^2)/a^8 + (43*z^2)/a^6 - (12*z^2)/a^4 + (3*z^4)/a^10 - (23*z^4)/a^8 + 
   (46*z^4)/a^6 - (13*z^4)/a^4 - (8*z^6)/a^8 + (26*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20692] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20693] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20694] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 8*z^6 + (2*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20695] -> 
  1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 20696] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20697] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 20698] -> 5*a^6 - 5*a^8 + a^10 - 3*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 - 
   8*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 20699] -> 
  1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 20700] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 
   5/a^2 + z^2 - z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 20701] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 + z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 20702] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 
   14*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 20703] -> 
  -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 14*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 20704] -> 4 + a^(-4) - 3/a^2 - a^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20705] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 3*z^4 + (6*z^4)/a^6 - (13*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 20706] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 6*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 
   2*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20707] -> a^2 + a^4 - a^6 + 2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 20708] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + (4*z^2)/a^2 + a^4*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 20709] -> 5*a^6 - 5*a^8 + a^10 + 2*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + a^12*z^2 + 3*a^4*z^4 - a^6*z^4 - 
   2*a^10*z^4 + a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - a^10*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 20710] -> 5*a^6 - 5*a^8 + a^10 + 2*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + a^12*z^2 + 3*a^4*z^4 - a^6*z^4 - 
   2*a^10*z^4 + a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - a^10*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 20711] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20712] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   5*a^2*z^2 - 12*a^4*z^2 + 17*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 13*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 5*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 20713] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 20714] -> 
  1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 20715] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 
   12*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20716] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 20717] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - 
   3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 20718] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20719] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 + 
   5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 20720] -> -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 
   8*z^2 + 29*a^2*z^2 - 30*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   32*a^2*z^4 - 30*a^4*z^4 + 7*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 13*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20721] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 20722] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20723] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   22*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20724] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 20725] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 + 5*a^2*z^6 - 3*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20726] -> -4 + 4/a^6 - 13/a^4 + 14/a^2 - 
   8*z^2 - z^2/a^8 + (11*z^2)/a^6 - (31*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (33*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 20727] -> 
  2/a^10 - 10/a^8 + 14/a^6 - 7/a^4 + 2/a^2 + (3*z^2)/a^10 - (20*z^2)/a^8 + 
   (38*z^2)/a^6 - (22*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (41*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20728] -> a^(-14) - 6/a^12 + 11/a^10 - 11/a^8 + 
   6/a^6 - (9*z^2)/a^12 + (29*z^2)/a^10 - (32*z^2)/a^8 + (19*z^2)/a^6 - 
   (3*z^4)/a^12 + (28*z^4)/a^10 - (41*z^4)/a^8 + (20*z^4)/a^6 + 
   (10*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20729] -> 
  -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 35*z^2 - (6*z^2)/a^4 + 
   (26*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 42*z^4 - (4*z^4)/a^4 + 
   (27*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 26*z^6 - z^6/a^4 + (12*z^6)/a^2 + 
   7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20730] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20731] -> -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 
   8*z^2 + 29*a^2*z^2 - 30*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   32*a^2*z^4 - 30*a^4*z^4 + 7*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 13*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20732] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 20733] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (29*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (28*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 - (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20734] -> -a^(-12) + 6/a^10 - 10/a^8 + 4/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 20735] -> -4 + 4/a^6 - 13/a^4 + 14/a^2 - 8*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (31*z^2)/a^4 + (30*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (33*z^4)/a^4 + (27*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 20736] -> 
  -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 24*a^6*z^2 - 
   12*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20737] -> 2/a^14 - 8/a^12 + 11/a^10 - 9/a^8 + 
   5/a^6 + z^2/a^14 - (13*z^2)/a^12 + (28*z^2)/a^10 - (24*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^4)/a^12 + (27*z^4)/a^10 - (30*z^4)/a^8 + 
   (16*z^4)/a^6 + (10*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20738] -> 
  -6 + 2/a^6 - 11/a^4 + 16/a^2 - 16*z^2 + (2*z^2)/a^6 - (22*z^2)/a^4 + 
   (41*z^2)/a^2 - 15*z^4 - (17*z^4)/a^4 + (46*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (27*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20739] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20740] -> 
  6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 10*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 10*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 5*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 20741] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) - 3*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20742] -> 4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 20743] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 16*z^4 + 
   (5*z^4)/a^2 + 22*a^2*z^4 - 6*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20744] -> a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 20745] -> 
  -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 15*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + 
   (25*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20746] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20747] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 20748] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 + z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - 
   (20*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (17*z^4)/a^6 - 
   (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 20749] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (19*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 - (4*z^4)/a^12 + 
   (22*z^4)/a^10 - (28*z^4)/a^8 + (16*z^4)/a^6 + (9*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20750] -> 2/a^14 - 9/a^12 + 8/a^10 + z^2/a^14 - 
   (24*z^2)/a^12 + (36*z^2)/a^10 - (2*z^4)/a^14 - (18*z^4)/a^12 + 
   (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 20751] -> 
  -4 + 10*a^2 - 5*a^4 - 14*z^2 + 33*a^2*z^2 - 14*a^4*z^2 - 14*z^4 + 
   42*a^2*z^4 - 14*a^4*z^4 - 6*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20752] -> 
  -3*a^4 + 8*a^6 - 2*a^8 - 2*a^10 - z^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   11*a^6*z^2 + a^8*z^2 - a^10*z^2 - z^4 + 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 
   a^8*z^4 + a^2*z^6, Knot[14, NonAlternating, 20753] -> 
  a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - a^(-6) + 2/a^4 - (4*z^2)/a^12 + 
   (9*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (7*z^4)/a^10 - 
   (5*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20754] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   z^2/a^14 - (8*z^2)/a^12 + (10*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - 
   (3*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 20755] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 - (5*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   9*z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 20756] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + 
   (7*z^4)/a^2 + (7*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 20757] -> 
  -a^(-16) + 6/a^14 - 14/a^12 + 10/a^10 + (4*z^2)/a^14 - (30*z^2)/a^12 + 
   (38*z^2)/a^10 - (2*z^4)/a^14 - (20*z^4)/a^12 + (54*z^4)/a^10 - z^6/a^14 - 
   (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 20758] -> -5 + 14*a^2 - 10*a^4 + 2*a^6 - 13*z^2 + 
   35*a^2*z^2 - 21*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 40*a^2*z^4 - 18*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + 25*a^2*z^6 - 7*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 20759] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (24*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20760] -> 
  2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 + z^2/a^14 - (13*z^2)/a^12 + 
   (23*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 - (5*z^4)/a^12 + 
   (26*z^4)/a^10 - (24*z^4)/a^8 + (15*z^4)/a^6 + (10*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20761] -> 2/a^14 - 9/a^12 + 8/a^10 + z^2/a^14 - 
   (24*z^2)/a^12 + (36*z^2)/a^10 - (2*z^4)/a^14 - (18*z^4)/a^12 + 
   (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 20762] -> 
  -4 + 10*a^2 - 5*a^4 - 14*z^2 + 33*a^2*z^2 - 14*a^4*z^2 - 14*z^4 + 
   42*a^2*z^4 - 14*a^4*z^4 - 6*z^6 + 26*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20763] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (17*z^2)/a^8 + (13*z^2)/a^6 + (4*z^4)/a^10 - (18*z^4)/a^8 + (21*z^4)/a^6 - 
   (6*z^4)/a^4 - (8*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 20764] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 + (6*z^2)/a^6 - (18*z^2)/a^4 + 
   (20*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20765] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 19*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 20766] -> a^(-10) - 6/a^8 + 9/a^6 - 
   5/a^4 + 2/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (22*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 20767] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + 
   (9*z^2)/a^2 + (11*z^4)/a^6 - (28*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^6 - 
   (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20768] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 + z^2/a^14 - (9*z^2)/a^12 + (19*z^2)/a^10 - (18*z^2)/a^8 + 
   (14*z^2)/a^6 - (4*z^4)/a^12 + (22*z^4)/a^10 - (28*z^4)/a^8 + 
   (16*z^4)/a^6 + (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20769] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (21*z^2)/a^8 + (26*z^2)/a^6 - (6*z^2)/a^4 + (3*z^4)/a^10 - (20*z^4)/a^8 + 
   (36*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + (24*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20770] -> 2/a^14 - 8/a^12 + 10/a^10 - 7/a^8 + 
   4/a^6 + z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (20*z^2)/a^8 + 
   (14*z^2)/a^6 - (4*z^4)/a^12 + (24*z^4)/a^10 - (28*z^4)/a^8 + 
   (16*z^4)/a^6 + (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20771] -> 
  a^(-14) - 3/a^12 + 4/a^8 - 3/a^6 + 2/a^4 - (4*z^2)/a^12 + (6*z^2)/a^10 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (7*z^4)/a^10 - (3*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 20772] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^14 - (5*z^2)/a^12 + (4*z^2)/a^10 + 
   (13*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + (12*z^4)/a^10 + (15*z^4)/a^8 + 
   (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 20773] -> 4 - 2/a^2 - a^4 + 7*z^2 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20774] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (29*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^8 + (25*z^4)/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20775] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   9*z^2 - z^2/a^8 + (10*z^2)/a^6 - (25*z^2)/a^4 + (27*z^2)/a^2 - 12*z^4 + 
   (3*z^4)/a^6 - (22*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (8*z^6)/a^4 + 
   (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20776] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (6*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^4)/a^10 - (14*z^4)/a^8 + (20*z^4)/a^6 - (6*z^4)/a^4 - (7*z^6)/a^8 + 
   (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20777] -> 2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 
   2/a^6 + z^2/a^14 - (13*z^2)/a^12 + (23*z^2)/a^10 - (13*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^4)/a^12 + (26*z^4)/a^10 - (24*z^4)/a^8 + 
   (15*z^4)/a^6 + (10*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20778] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (5*z^2)/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - z^4/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 20779] -> 
  -a^2 + 7*a^6 - 5*a^8 - 3*a^2*z^2 + 4*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   2*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + a^6*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20780] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (7*z^2)/a^10 - (21*z^2)/a^8 + (26*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^4)/a^10 - (20*z^4)/a^8 + (36*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20781] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 
   2/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 + (8*z^4)/a^8 - (8*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 20782] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (3*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 - (6*z^4)/a^8 + (7*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20783] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20784] -> 
  2/a^10 - 10/a^8 + 14/a^6 - 7/a^4 + 2/a^2 + (3*z^2)/a^10 - (20*z^2)/a^8 + 
   (38*z^2)/a^6 - (22*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (41*z^4)/a^6 - (26*z^4)/a^4 + (5*z^4)/a^2 - (8*z^6)/a^8 + (24*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20785] -> -7 + 2/a^6 - 8/a^4 + 12/a^2 + 2*a^2 - 
   15*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 2*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20786] -> 6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 
   10*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 10*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 20787] -> 4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 20788] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + 
   z^2/a^10 - (12*z^2)/a^8 + (29*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^8 + (25*z^4)/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 + (9*z^6)/a^6 - 
   (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20789] -> -a^(-16) + 6/a^14 - 14/a^12 + 10/a^10 + 
   (4*z^2)/a^14 - (30*z^2)/a^12 + (38*z^2)/a^10 - (2*z^4)/a^14 - 
   (20*z^4)/a^12 + (54*z^4)/a^10 - z^6/a^14 - (4*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 20790] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 13*z^2 + 35*a^2*z^2 - 21*a^4*z^2 + 
   3*a^6*z^2 - 13*z^4 + 40*a^2*z^4 - 18*a^4*z^4 + a^6*z^4 - 6*z^6 + 
   25*a^2*z^6 - 7*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20791] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   12*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20792] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (17*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 20793] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 + 5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 20794] -> a^(-12) - 4/a^10 + 4/a^8 - 
   2/a^4 + 2/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 + (8*z^4)/a^8 - (8*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 20795] -> -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^14 - 
   (5*z^2)/a^12 + (4*z^2)/a^10 + (13*z^2)/a^8 - z^4/a^14 - (3*z^4)/a^12 + 
   (12*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 20796] -> 4 - 2/a^2 - a^4 + 7*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20797] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   (4*z^2)/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20798] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   z^2/a^14 - (8*z^2)/a^12 + (10*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - 
   (3*z^4)/a^12 + (14*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 20799] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 - (5*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   9*z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 20800] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 3*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (16*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (14*z^4)/a^6 - 
   (25*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (7*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20801] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - 
   a^(-6) + 2/a^4 - (4*z^2)/a^12 + (9*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (7*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 20802] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (3*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 - (6*z^4)/a^8 + (7*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20803] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20804] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) - 3*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20805] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 16*z^4 + 
   (5*z^4)/a^2 + 22*a^2*z^4 - 6*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20806] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + (7*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20807] -> 2/a^14 - 8/a^12 + 10/a^10 - 7/a^8 + 
   4/a^6 + z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (20*z^2)/a^8 + 
   (14*z^2)/a^6 - (4*z^4)/a^12 + (24*z^4)/a^10 - (28*z^4)/a^8 + 
   (16*z^4)/a^6 + (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20808] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (6*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20809] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 20810] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20811] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   4*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 + 5*a^2*z^6 - 3*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20812] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 9*z^2 - z^2/a^8 + (10*z^2)/a^6 - (25*z^2)/a^4 + (27*z^2)/a^2 - 
   12*z^4 + (3*z^4)/a^6 - (22*z^4)/a^4 + (35*z^4)/a^2 - 6*z^6 - (8*z^6)/a^4 + 
   (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20813] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - 
   (7*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20814] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 22*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 20815] -> 
  a^(-14) - 3/a^12 + 4/a^8 - 3/a^6 + 2/a^4 - (4*z^2)/a^12 + (6*z^2)/a^10 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (7*z^4)/a^10 - (3*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 20816] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^12 + (6*z^2)/a^10 - 
   (12*z^2)/a^8 + (11*z^2)/a^6 + (3*z^4)/a^10 - (14*z^4)/a^8 + (20*z^4)/a^6 - 
   (6*z^4)/a^4 - (7*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 20817] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 20818] -> 2/a^14 - 8/a^12 + 11/a^10 - 9/a^8 + 
   5/a^6 + z^2/a^14 - (13*z^2)/a^12 + (28*z^2)/a^10 - (24*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^4)/a^12 + (27*z^4)/a^10 - (30*z^4)/a^8 + 
   (16*z^4)/a^6 + (10*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20819] -> 
  -6 + 2/a^6 - 11/a^4 + 16/a^2 - 16*z^2 + (2*z^2)/a^6 - (22*z^2)/a^4 + 
   (41*z^2)/a^2 - 15*z^4 - (17*z^4)/a^4 + (46*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (27*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 20820] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (24*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 20821] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (21*z^4)/a^6 - (6*z^4)/a^4 - (8*z^6)/a^8 + 
   (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20822] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 + (11*z^4)/a^6 - 
   (28*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 20823] -> 2*a^4 - a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 
   8*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 14*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 20824] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 20825] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 20826] -> -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 20827] -> -4/a^8 + 6/a^6 - a^(-4) - (2*z^2)/a^10 - 
   z^2/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 20828] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (2*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 20829] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20830] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 12*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + 17*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - z^6 + 8*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 20831] -> -2 + a^(-4) + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 20832] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 
   3*z^4 + (6*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 20833] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20834] -> 
  a^(-4) - a^(-2) + a^2 - 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 15*z^4 + z^4/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20835] -> -2 + a^(-4) + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 20836] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 12*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + 17*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - z^6 + 8*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 20837] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 20838] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 + 2*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 
   6*a^10*z^2 + 2*a^12*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 + a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^10*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 20839] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20840] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 - z^6 + 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20841] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 + 
   2*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 + 3*a^4*z^4 - 
   2*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 + a^4*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^10*z^6 - a^6*z^8, Knot[14, NonAlternating, 20842] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20843] -> a^6 + 3*a^8 - 3*a^10 + 7*a^6*z^2 + 
   6*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 + 8*a^6*z^4 + a^8*z^4 - 5*a^10*z^4 + 
   3*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 - 4*a^10*z^6 + a^12*z^6 - a^8*z^8 - 
   a^10*z^8, Knot[14, NonAlternating, 20844] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^4*z^2 + 6*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 
   a^12*z^2 + 2*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[14, NonAlternating, 20845] -> 
  3*a^6 - a^8 - a^10 + 2*a^4*z^2 + 6*a^6*z^2 - 2*a^10*z^2 + a^12*z^2 + 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^8*z^6 - 
   a^10*z^6, Knot[14, NonAlternating, 20846] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 20847] -> 3*a^6 - a^8 - a^10 + a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - a^10*z^2 + a^12*z^2 + a^2*z^4 - a^4*z^4 - 
   a^6*z^4 - a^10*z^4 - a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 20848] -> 
  a^4 + a^6 - a^10 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^10*z^2 + a^12*z^2 - 
   a^8*z^4 - a^10*z^4, Knot[14, NonAlternating, 20849] -> 
  2*a^6 - a^12 + 9*a^6*z^2 + 8*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + 
   2*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 - 3*a^10*z^6 + a^12*z^6 - a^8*z^8 - 
   a^10*z^8, Knot[14, NonAlternating, 20850] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   a^12*z^2 + a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^8*z^6 - a^10*z^6, Knot[14, NonAlternating, 20851] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 4*a^4*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 
   a^12*z^2 + 2*a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^6*z^6 - a^8*z^6 - a^10*z^6, Knot[14, NonAlternating, 20852] -> 
  a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 
   a^10*z^2 + a^12*z^2 - a^6*z^4 - a^8*z^4 - a^10*z^4, 
 Knot[14, NonAlternating, 20853] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   10*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + 9*a^6*z^4 - 4*a^8*z^4 - 3*a^10*z^4 + 
   3*a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 - 4*a^10*z^6 + a^12*z^6 - a^8*z^8 - 
   a^10*z^8, Knot[14, NonAlternating, 20854] -> 
  a^4 + a^8 - a^12 + 3*a^4*z^2 + 4*a^6*z^2 + a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 20855] -> a^(-14) - 6/a^12 + 9/a^10 - 7/a^8 + 
   4/a^6 - (7*z^2)/a^12 + (22*z^2)/a^10 - (22*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^4)/a^12 + (21*z^4)/a^10 - (31*z^4)/a^8 + (17*z^4)/a^6 + 
   (8*z^6)/a^10 - (23*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 20856] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (21*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (17*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 20857] -> 4*a^6 - 6*a^8 + 7*a^10 - 5*a^12 + a^14 + 
   12*a^6*z^2 - 10*a^8*z^2 + 9*a^10*z^2 - 3*a^12*z^2 + 9*a^6*z^4 - 
   7*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 + 2*a^6*z^6 - 4*a^8*z^6 - 3*a^10*z^6 + 
   a^12*z^6 - a^8*z^8 - a^10*z^8, Knot[14, NonAlternating, 20858] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 5*a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 - 
   3*a^10*z^2 + a^12*z^2 + 2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 - a^6*z^6 - a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 20859] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 
   2*a^2*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + a^12*z^2 - a^4*z^4 - 
   a^6*z^4 - a^8*z^4 - a^10*z^4, Knot[14, NonAlternating, 20860] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^10 + (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 - z^4/a^10 - (3*z^4)/a^8 + (21*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 20861] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 - z^2/a^8 + (9*z^2)/a^6 - 
   (2*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20862] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20863] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 10*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20864] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20865] -> 2*a^4 - a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 
   8*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 14*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 20866] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20867] -> 
  1 - 3*z^2 + 10*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20868] -> -1 + a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20869] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 10*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 20870] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 20871] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   z^4/a^10 + (5*z^4)/a^8 + (6*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 - z^6/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 20872] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   6*z^6 + z^6/a^2 + 6*a^2*z^6 - 2*a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20873] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 
   8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 20874] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - z^4/a^10 + (5*z^4)/a^8 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 - z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 20875] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20876] -> 
  5*a^6 - 5*a^8 + a^10 + 2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 
   a^12*z^2 + 3*a^4*z^4 - a^6*z^4 - 2*a^10*z^4 + a^12*z^4 + a^4*z^6 - 
   4*a^6*z^6 - a^10*z^6 - a^6*z^8, Knot[14, NonAlternating, 20877] -> 
  a^2 + a^4 - a^6 + 2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20878] -> -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + 
   (4*z^2)/a^2 + a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 20879] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (8*z^4)/a^6 - (19*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 20880] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 6*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 
   2*a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 20881] -> 5*a^6 - 5*a^8 + a^10 + 2*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + a^12*z^2 + 3*a^4*z^4 - a^6*z^4 - 
   2*a^10*z^4 + a^12*z^4 + a^4*z^6 - 4*a^6*z^6 - a^10*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 20882] -> 3*a^6 - a^8 - a^10 + a^2*z^2 - 
   2*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 20883] -> -2/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 + (5*z^4)/a^8 - 
   z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 - z^6/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 20884] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (2*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 20885] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 20886] -> -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 20887] -> 5*a^6 - 5*a^8 + a^10 - 3*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 - 
   8*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 20888] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 20889] -> -4/a^8 + 6/a^6 - a^(-4) - (2*z^2)/a^10 - 
   z^2/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 20890] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 2*z^2 + a^2*z^2 - 10*a^4*z^2 + 
   13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 20891] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - z^6 + 3*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 20892] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 - z^6 + 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20893] -> a^(-2) - a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 20894] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 2*z^2 + a^2*z^2 - 10*a^4*z^2 + 
   13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 20895] -> 3 - 4*a^2 + 2*a^4 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 20896] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 
   8*z^2 + z^2/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 20897] -> -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   2*a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20898] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20899] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 + 
   z^2 - z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 20900] -> 
  -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 14*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, 
 Knot[14, NonAlternating, 20901] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 
   14*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 + z^8/a^2, Knot[14, NonAlternating, 20902] -> 
  1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 20903] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 
   5/a^2 + z^2 - z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 20904] -> 
  4 + a^(-4) - 3/a^2 - a^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 20905] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 20906] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 20907] -> 
  1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - a^4*z^6 - 
   z^8, Knot[14, NonAlternating, 20908] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 
   2*a^2 - 19*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 
   20*z^4 + z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 20909] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   18*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 
   z^4/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 16*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20910] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 20911] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 6*z^2 + 21*a^2*z^2 - 25*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20912] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 16*z^6 + (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20913] -> -8 + 4/a^2 + 7*a^2 - 3*a^4 + a^6 - 
   18*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 + 
   z^4/a^2 + 28*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 20*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20914] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   20*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + 
   (2*z^4)/a^2 + 24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 4*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 20915] -> 
  -1 + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + a^6 + z^2/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 20916] -> -5 + 3/a^2 + 3*a^2 + a^4 - 
   2*a^6 + a^8 - 9*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 
   2*a^4*z^6, Knot[14, NonAlternating, 20917] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 19*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   z^8 + (2*z^8)/a^2, Knot[14, NonAlternating, 20918] -> 
  -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 18*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + z^4/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 5*z^6 + 16*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 20919] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 27*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20920] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   6*z^2 + 21*a^2*z^2 - 25*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 20921] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 16*z^6 + (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20922] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + 
   (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20923] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 
   16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20924] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 25*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 20925] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   29*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 20926] -> 
  -4 + 3/a^2 + 3*a^4 - a^6 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 7*z^4 - z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 20927] -> -5 - a^(-6) + 3/a^4 + 5*a^2 - a^4 - 
   9*z^2 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 20928] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 19*z^4 + 
   (4*z^4)/a^2 + 28*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 20929] -> -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 
   16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20930] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   20*z^2 + (4*z^2)/a^2 + 26*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 - 18*z^4 + 
   z^4/a^2 + 37*a^2*z^4 - 25*a^4*z^4 + 4*a^6*z^4 - 7*z^6 + 25*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 - z^8 + 8*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20931] -> -1 + 2/a^4 - 2/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 + z^2 + z^2/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + 
   7*z^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 20932] -> 
  4 - a^(-4) - 2*a^2 + 4*z^2 - a^2*z^2 - z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 20933] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   z^2/a^10 + z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - (6*z^4)/a^8 + (16*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 20934] -> 
  4 - a^(-4) - 2*a^2 + 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 4*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 20935] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 20936] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2/a^6 + z^2/a^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 20937] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 
   2*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 20938] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - z^4 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 20939] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 20940] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + 5*a^2*z^4 - a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20941] -> -a^4 + 6*a^6 - 4*a^8 - 2*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 20942] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   z^2/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 20943] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   2*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 20944] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 20945] -> -3 + 7*a^2 - 2*a^4 - a^6 - 6*z^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 + z^6 + 4*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20946] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 - 
   z^2/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^4/a^10 + (5*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 20947] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 - z^4/a^10 + (4*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 - z^6/a^4, 
 Knot[14, NonAlternating, 20948] -> -3/a^6 + 5/a^4 - a^(-2) + z^2 - z^2/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 20949] -> 4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 20950] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + 
   z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 20951] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   3*z^2 + 9*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 20952] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   5*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 
   5*a^6*z^4 + a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 20953] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + 11*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20954] -> -4/a^6 + 7/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (17*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 20955] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - z^6, Knot[14, NonAlternating, 20956] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 19*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 
   7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 20957] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 20958] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 + 9*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 20959] -> 
  a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 + (6*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 20960] -> 4 - a^(-4) - 2*a^2 + 12*z^2 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 20961] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 20962] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 20963] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 20964] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 20965] -> a^2 + a^4 - a^6 - 2*z^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 20966] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 20967] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 
   z^4 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 20968] -> 
  3 - a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 20969] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 20970] -> 2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + 
   z^2/a^16 - (6*z^2)/a^14 - (14*z^2)/a^12 + (27*z^2)/a^10 + (3*z^2)/a^8 - 
   (5*z^4)/a^14 - (4*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 20971] -> 5 - 4/a^4 + 4/a^2 - 4*a^2 + 
   15*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 9*a^2*z^2 + 15*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 20972] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + (3*z^2)/a^12 - (9*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   (5*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 20973] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + z^2/a^12 - z^2/a^10 - (8*z^2)/a^8 + 
   (13*z^2)/a^6 + (9*z^4)/a^10 - (24*z^4)/a^8 + (16*z^4)/a^6 + (6*z^6)/a^10 - 
   (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 20974] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 9*z^2 + 
   17*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + 32*a^2*z^4 - 6*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + 24*a^2*z^6 - 5*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 20975] -> 
  4/a^16 - 8/a^14 - a^(-12) + 6/a^10 + (4*z^2)/a^16 - (16*z^2)/a^14 - 
   (8*z^2)/a^12 + (31*z^2)/a^10 + z^4/a^16 - (10*z^4)/a^14 - (8*z^4)/a^12 + 
   (52*z^4)/a^10 - (2*z^6)/a^14 - (2*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 20976] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 20977] -> -3 + 6*a^2 - 2*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 20978] -> 2/a^16 - 2/a^14 - 6/a^12 + 
   6/a^10 + a^(-8) + z^2/a^16 - (5*z^2)/a^14 - (11*z^2)/a^12 + 
   (17*z^2)/a^10 + (8*z^2)/a^8 - (2*z^4)/a^14 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 20979] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 
   4*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 20980] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (4*z^2)/a^10 - (9*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 20981] -> -5*a^2 + 13*a^4 - 7*a^6 - 
   16*a^2*z^2 + 41*a^4*z^2 - 17*a^6*z^2 - 17*a^2*z^4 + 51*a^4*z^4 - 
   17*a^6*z^4 - 7*a^2*z^6 + 31*a^4*z^6 - 7*a^6*z^6 - a^2*z^8 + 9*a^4*z^8 - 
   a^6*z^8 + a^4*z^10, Knot[14, NonAlternating, 20982] -> 
  4/a^12 - 12/a^10 + 9/a^8 + (10*z^2)/a^12 - (34*z^2)/a^10 + (30*z^2)/a^8 + 
   (12*z^4)/a^12 - (40*z^4)/a^10 + (33*z^4)/a^8 + (6*z^6)/a^12 - 
   (25*z^6)/a^10 + (14*z^6)/a^8 + z^8/a^12 - (8*z^8)/a^10 + (2*z^8)/a^8 - 
   z^10/a^10, Knot[14, NonAlternating, 20983] -> 
  15 - 8/a^2 - 4*a^2 - 2*a^4 + 49*z^2 - (24*z^2)/a^2 - 8*a^2*z^2 - 
   7*a^4*z^2 + 63*z^4 - (22*z^4)/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 37*z^6 - 
   (8*z^6)/a^2 - a^2*z^6 - a^4*z^6 + 10*z^8 - z^8/a^2 + z^10, 
 Knot[14, NonAlternating, 20984] -> -1 - a^2 + 8*a^4 - 5*a^6 - 4*z^2 + 
   2*a^2*z^2 + 17*a^4*z^2 - 8*a^6*z^2 - 4*z^4 + 7*a^2*z^4 + 14*a^4*z^4 - 
   5*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 20985] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (5*z^2)/a^12 - (15*z^2)/a^10 + (7*z^2)/a^8 + (8*z^2)/a^6 + (4*z^4)/a^12 - 
   (11*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 20986] -> 10 - 2/a^4 - 2/a^2 - 4*a^2 - a^4 + 
   24*z^2 - (7*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 - 3*a^4*z^2 + 22*z^4 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8 + z^8/a^2, Knot[14, NonAlternating, 20987] -> 
  -6/a^8 + 13/a^6 - 9/a^4 + 3/a^2 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (38*z^2)/a^6 - (25*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + 
   (42*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 20988] -> -2/a^12 + 7/a^10 - 9/a^8 + 3/a^6 + 
   2/a^4 - z^2/a^12 + (12*z^2)/a^10 - (20*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 20989] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 - 
   (3*z^2)/a^14 - (7*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   z^4/a^14 + (12*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 20990] -> 
  6 - 2/a^4 - 2*a^2 - a^4 + 10*z^2 - z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 20991] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 20992] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 20993] -> 
  -1 + 2*a^2 + a^4 - a^8 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^2 + 
   4*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 20994] -> a^(-16) - 5/a^12 + 2/a^10 + 3/a^8 - 
   (2*z^2)/a^14 - (6*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (6*z^4)/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 20995] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   4*a^2*z^2 + 8*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 20996] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (4*z^2)/a^12 - (8*z^2)/a^10 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 + (4*z^4)/a^12 - (9*z^4)/a^10 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 20997] -> 
  4 - 4/a^2 + 6*a^2 - 5*a^4 + 12*z^2 - (10*z^2)/a^2 + 17*a^2*z^2 - 
   8*a^4*z^2 - 2*a^6*z^2 + 15*z^4 - (6*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 
   a^6*z^4 + 7*z^6 - z^6/a^2 + 8*a^2*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 20998] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 + 
   6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 20999] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21000] -> 5 - a^(-4) - 2/a^2 + 2*a^2 - 3*a^4 + 
   11*z^2 - (3*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 
   10*z^4 - z^4/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 21001] -> 1 - 4/a^8 + 7/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21002] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + (4*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21003] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 21004] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 21005] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (16*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 7*z^6 - (7*z^6)/a^4 + 
   (23*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21006] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   7*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 
   a^6*z^4 + a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21007] -> 2*a^2 - a^4 + 3*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - z^4 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21008] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21009] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 - z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 21010] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (5*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 21011] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 + 2*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 + 
   z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 21012] -> 3*a^2 - 3*a^4 + a^6 + 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - a^6*z^4 + 
   2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 21013] -> -a^2 + 5*a^4 - 3*a^6 - z^2 - a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 - z^4 + a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 
   2*a^4*z^6, Knot[14, NonAlternating, 21014] -> 
  a^6 + 3*a^8 - 3*a^10 - a^4*z^2 + 7*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 - 
   2*a^4*z^4 + 8*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 21015] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 - 
   (5*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 - (4*z^4)/a^6 + (13*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21016] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 19*z^2 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 18*z^4 - z^4/a^4 - 5*a^2*z^4 + 
   7*z^6 - a^2*z^6 + z^8, Knot[14, NonAlternating, 21017] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 8*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   4*z^4 + 11*a^2*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21018] -> -1 + 6*a^4 - 4*a^6 - 4*z^2 + 3*a^2*z^2 + 
   14*a^4*z^2 - 7*a^6*z^2 - 4*z^4 + 7*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 - 
   z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 21019] -> -1 - 4/a^6 + 6/a^4 - 3*z^2 - 
   (8*z^2)/a^6 + (17*z^2)/a^4 - z^4 - (5*z^4)/a^6 + (17*z^4)/a^4 - z^6/a^6 + 
   (7*z^6)/a^4 + z^8/a^4, Knot[14, NonAlternating, 21020] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 + 
   z^8/a^4, Knot[14, NonAlternating, 21021] -> -a^(-6) + a^(-4) + a^(-2) - 
   2*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - z^4 - (4*z^4)/a^6 + 
   (11*z^4)/a^4 - z^6/a^6 + (6*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 21022] -> -1 + 3*a^2 - a^6 + 2*z^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 5*z^4 - 10*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 8*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 21023] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 6*a^4*z^2 - 
   2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 21024] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (4*z^2)/a^16 - (23*z^2)/a^14 + (11*z^2)/a^12 + (22*z^2)/a^10 + z^4/a^16 - 
   (25*z^4)/a^14 + (31*z^4)/a^12 + (37*z^4)/a^10 - (9*z^6)/a^14 + 
   (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 21025] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 
   (4*z^4)/a^6 + (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21026] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 7*z^2 - (5*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 
   7*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 21027] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (15*z^4)/a^6 - (5*z^4)/a^4 - (6*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 21028] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - 2*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21029] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 2*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 21030] -> -1 + 3*a^2 - a^6 - 3*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 2*z^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 21031] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^4/a^10 - (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21032] -> 6 - 3/a^2 - a^2 - a^4 + 8*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^2 + 2*a^2*z^4, 
 Knot[14, NonAlternating, 21033] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 21034] -> 
  -2 + a^(-2) + 3*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 4*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 21035] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 21036] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 21037] -> 
  -1 + 3*a^2 - a^6 - z^2 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^2 - 
   3*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 21038] -> -a^4 + 6*a^6 - 4*a^8 + a^2*z^2 - 
   2*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 + 2*a^6*z^6, Knot[14, NonAlternating, 21039] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 21040] -> -3 + 8*a^2 - 4*a^4 - 3*z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 21041] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 9*z^2 - z^2/a^6 + (6*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 5*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[14, NonAlternating, 21042] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 21043] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + 3*z^4 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 21044] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 2*a^2*z^2 + 
   2*a^4*z^2 + z^4 - a^2*z^4 - a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 21045] -> -a^2 + 4*a^4 - a^6 - a^8 + z^2 + 
   a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 + z^6 - 
   2*a^2*z^6 - 8*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 21046] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + 
   a^(-6) - (7*z^2)/a^12 + (14*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 - (21*z^4)/a^8 + (15*z^4)/a^6 + 
   (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 21047] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 21048] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, Knot[14, NonAlternating, 21049] -> 
  -2 + 6*a^2 - 3*a^4 - 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 21050] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - z^2/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21051] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 21052] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^4 + 
   3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 21053] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21054] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - (7*z^2)/a^12 + (15*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 - (2*z^4)/a^12 + (19*z^4)/a^10 - 
   (22*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 21055] -> 3 - a^(-2) - a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21056] -> -a^4 + 6*a^6 - 4*a^8 - a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - a^4*z^4 + 8*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + 2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 21057] -> 
  -2 + 5*a^2 - a^4 - a^6 - 4*z^2 - z^2/a^2 + 12*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - z^4/a^2 + 10*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 21058] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 21059] -> 2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 21060] -> 3*a^6 - a^8 - a^10 + 9*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 21061] -> 
  a^2 + a^6 - a^8 + z^2 + a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 21062] -> 
  2*a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 21063] -> 
  -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + (5*z^4)/a^8 - z^4/a^6 + z^4/a^4 + 
   z^6/a^8, Knot[14, NonAlternating, 21064] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (2*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^10 + (4*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 21065] -> 1 - a^2 + 2*a^4 - a^6 + 5*z^2 - z^2/a^2 - 
   8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 21066] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21067] -> 2 + a^(-4) - 2/a^2 + 7*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21068] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21069] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 21070] -> 3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21071] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) + (6*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^4)/a^10 - (8*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21072] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 21073] -> -1 + a^(-2) + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21074] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21075] -> -3/a^8 + 4/a^6 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 21076] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 21077] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21078] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21079] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + a^8*z^4, 
 Knot[14, NonAlternating, 21080] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 - 
   (2*z^4)/a^8 - z^4/a^6, Knot[14, NonAlternating, 21081] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 21082] -> 
  2 + a^(-4) - 2/a^2 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21083] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 + 6*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 21084] -> -2 + 2/a^2 + a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21085] -> 4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (25*z^2)/a^14 + (12*z^2)/a^12 + (22*z^2)/a^10 + z^4/a^16 - 
   (22*z^4)/a^14 + (25*z^4)/a^12 + (40*z^4)/a^10 - (8*z^6)/a^14 + 
   (22*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^14 + (8*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 21086] -> 
  11 - 2/a^4 - 2/a^2 - 6*a^2 + 29*z^2 - (7*z^2)/a^4 + z^2/a^2 - 15*a^2*z^2 + 
   30*z^4 - (5*z^4)/a^4 + (7*z^4)/a^2 - 10*a^2*z^4 + 13*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21087] -> 4/a^12 - 10/a^10 + 5/a^8 + 2/a^6 + 
   (8*z^2)/a^12 - (23*z^2)/a^10 + (12*z^2)/a^8 + (7*z^2)/a^6 + (5*z^4)/a^12 - 
   (19*z^4)/a^10 + (9*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 - (7*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6 - z^8/a^10, Knot[14, NonAlternating, 21088] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + z^2/a^16 - (9*z^2)/a^14 - 
   (6*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 - (6*z^4)/a^14 + (4*z^4)/a^12 + 
   (27*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (5*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 21089] -> 3 - 4/a^4 + 5/a^2 - 3*a^2 + 7*z^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + 7*z^4 - z^4/a^6 + 
   z^4/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 21090] -> 2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 21091] -> -6*a^2 + 15*a^4 - 8*a^6 - 
   19*a^2*z^2 + 48*a^4*z^2 - 20*a^6*z^2 - 18*a^2*z^4 + 56*a^4*z^4 - 
   18*a^6*z^4 - 7*a^2*z^6 + 32*a^4*z^6 - 7*a^6*z^6 - a^2*z^8 + 9*a^4*z^8 - 
   a^6*z^8 + a^4*z^10, Knot[14, NonAlternating, 21092] -> 
  5/a^12 - 14/a^10 + 10/a^8 + (13*z^2)/a^12 - (41*z^2)/a^10 + (33*z^2)/a^8 + 
   (13*z^4)/a^12 - (45*z^4)/a^10 + (34*z^4)/a^8 + (6*z^6)/a^12 - 
   (26*z^6)/a^10 + (14*z^6)/a^8 + z^8/a^12 - (8*z^8)/a^10 + (2*z^8)/a^8 - 
   z^10/a^10, Knot[14, NonAlternating, 21093] -> 
  16 - 8/a^2 - 6*a^2 - a^4 + 52*z^2 - (24*z^2)/a^2 - 15*a^2*z^2 - 4*a^4*z^2 + 
   64*z^4 - (22*z^4)/a^2 - 10*a^2*z^4 - 4*a^4*z^4 + 37*z^6 - (8*z^6)/a^2 - 
   2*a^2*z^6 - a^4*z^6 + 10*z^8 - z^8/a^2 + z^10, 
 Knot[14, NonAlternating, 21094] -> -2 + a^2 + 7*a^4 - 5*a^6 - 7*z^2 + 
   9*a^2*z^2 + 14*a^4*z^2 - 8*a^6*z^2 - 5*z^4 + 12*a^2*z^4 + 13*a^4*z^4 - 
   5*a^6*z^4 - z^6 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 21095] -> 3/a^12 - 7/a^10 + 2/a^8 + 3/a^6 + 
   (5*z^2)/a^12 - (12*z^2)/a^10 + (11*z^2)/a^6 + (4*z^4)/a^12 - 
   (10*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21096] -> 8 - 2/a^4 - a^(-2) - 3*a^2 - a^4 + 
   17*z^2 - (7*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 17*z^4 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8 + z^8/a^2, Knot[14, NonAlternating, 21097] -> 
  -1 - 2*a^2 + 10*a^4 - 6*a^6 - 3*z^2 - 3*a^2*z^2 + 25*a^4*z^2 - 11*a^6*z^2 - 
   z^4 - a^2*z^4 + 22*a^4*z^4 - 6*a^6*z^4 + 8*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21098] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - 
   z^2/a^2 + 9*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 6*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 21099] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (6*z^2)/a^10 - (17*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 + (8*z^4)/a^10 - (20*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 21100] -> -4 + 8*a^2 - a^4 - 2*a^6 - 
   6*z^2 - (2*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - (3*z^4)/a^2 + 
   23*a^2*z^4 - 7*a^4*z^4 + 3*z^6 - z^6/a^2 + 11*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, NonAlternating, 21101] -> 
  2/a^16 - 2/a^14 - 7/a^12 + 8/a^10 + z^2/a^16 - (5*z^2)/a^14 - 
   (15*z^2)/a^12 + (26*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^14 - 
   (8*z^4)/a^12 + (31*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 21102] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + (3*z^2)/a^10 - (19*z^2)/a^8 + 
   (35*z^2)/a^6 - (24*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (17*z^4)/a^8 + 
   (41*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (25*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 21103] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   34*z^2 - (5*z^2)/a^4 + (23*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 42*z^4 - 
   (4*z^4)/a^4 + (26*z^4)/a^2 + 19*a^2*z^4 - a^4*z^4 - 26*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - 8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 21104] -> -4 + 8*a^2 - a^4 - 2*a^6 - 11*z^2 + 
   23*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 - 9*z^4 + 25*a^2*z^4 + 3*a^4*z^4 - 
   4*a^6*z^4 - 2*z^6 + 12*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 21105] -> a^(-12) - 6/a^8 + 6/a^6 + 
   (2*z^2)/a^12 + z^2/a^10 - (16*z^2)/a^8 + (16*z^2)/a^6 + (3*z^4)/a^12 - 
   z^4/a^10 - (18*z^4)/a^8 + (13*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 21106] -> -4 + 8*a^2 - a^4 - 2*a^6 - 11*z^2 + 
   23*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 - 9*z^4 + 25*a^2*z^4 + 3*a^4*z^4 - 
   4*a^6*z^4 - 2*z^6 + 12*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 2*a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 21107] -> a^(-12) - 6/a^8 + 6/a^6 + 
   (2*z^2)/a^12 + z^2/a^10 - (16*z^2)/a^8 + (16*z^2)/a^6 + (3*z^4)/a^12 - 
   z^4/a^10 - (18*z^4)/a^8 + (13*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (10*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 21108] -> 2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (35*z^2)/a^6 - (24*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (17*z^4)/a^8 + (41*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (25*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 21109] -> 
  -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 34*z^2 - (5*z^2)/a^4 + (23*z^2)/a^2 + 
   22*a^2*z^2 - 4*a^4*z^2 - 42*z^4 - (4*z^4)/a^4 + (26*z^4)/a^2 + 
   19*a^2*z^4 - a^4*z^4 - 26*z^6 - z^6/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - 
   8*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 21110] -> 
  6 - a^(-4) - 2/a^2 - 2*a^4 + 14*z^2 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 12*z^4 - z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 + z^6/a^2 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 21111] -> 2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 21112] -> 4 - 2/a^4 + a^(-2) - a^2 - 
   a^4 + 7*z^2 - z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^4*z^2 + 5*z^4 + 
   z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4, Knot[14, NonAlternating, 21113] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - 
   z^4/a^6, Knot[14, NonAlternating, 21114] -> -2*a^2 + 4*a^4 + 2*a^6 - 
   3*a^8 - 5*a^2*z^2 + 10*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 21115] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + (5*z^2)/a^12 - (10*z^2)/a^10 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^12 - (10*z^4)/a^10 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 21116] -> 
  5 - 4/a^2 + 4*a^2 - 4*a^4 + 13*z^2 - (10*z^2)/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 - a^6*z^2 + 15*z^4 - (6*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 + 7*z^6 - z^6/a^2 + 8*a^2*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 21117] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 2*z^2 + 
   2*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21118] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + 
   a^(-4) + (2*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 21119] -> 
  3 - a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + 9*z^2 - (3*z^2)/a^4 + 5*a^2*z^2 - 
   3*a^4*z^2 - a^6*z^2 + 9*z^4 - z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 21120] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (4*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21121] -> -2 + 4*a^2 - a^8 - 2*z^2 - z^2/a^2 + 
   8*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 21122] -> a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 - 
   (2*z^2)/a^14 - (8*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   z^4/a^12 + (9*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 21123] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21124] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^4*z^2 - a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 21125] -> 
  -2 + 4*a^2 - a^8 - 4*z^2 + 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 - 
   2*z^4 + 5*a^2*z^4 + 7*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21126] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 - (7*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 21127] -> 
  -2 + 4*a^2 - a^8 - 4*z^2 + 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 - 
   2*z^4 + 5*a^2*z^4 + 7*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21128] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 - (7*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 21129] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21130] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^4*z^2 - a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 21131] -> 
  3 + 2/a^4 - 4/a^2 + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 21132] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 21133] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + 
   4*z^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21134] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 21135] -> -a^(-4) + 2/a^2 + z^2/a^10 - 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 + z^6/a^6, Knot[14, NonAlternating, 21136] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 21137] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 21138] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (3*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 - 
   z^2/a^2 - z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 21139] -> 2*a^2 - a^4 + a^6 - 2*a^8 + 
   a^10 + 3*a^6*z^2 - 3*a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 21140] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 + 2*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + z^4 - 
   2*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 21141] -> 3*a^6 - 3*a^10 + a^12 + 2*a^4*z^2 + 
   3*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 + 3*a^4*z^4 - 3*a^6*z^4 + 7*a^8*z^4 - 
   a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 21142] -> a^(-2) - a^2 + a^4 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 21143] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21144] -> a^(-8) - 2/a^6 + 2/a^2 - z^2/a^6 + 
   z^2/a^2 - z^4/a^8 + z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21145] -> 4*a^4 - 4*a^6 + a^8 - 2*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - a^8*z^4 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 21146] -> a^(-10) - 2/a^8 + 2/a^6 - 
   3/a^4 + 3/a^2 - (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - z^4/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21147] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (2*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 21148] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21149] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21150] -> 
  3 - a^(-2) - 2*a^4 + a^6 + z^2 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + 8*a^2*z^4 - 4*a^4*z^4 - z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 21151] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   3*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21152] -> a^(-10) - 2/a^8 + 4/a^6 - 7/a^4 + 5/a^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21153] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 
   5*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21154] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21155] -> 1 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21156] -> 2*a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 + 7*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 21157] -> 
  -1 + a^(-2) + a^2 + z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21158] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   8*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21159] -> 1 + 2/a^4 - 3/a^2 + a^2 - 
   3*z^2 - z^2/a^2 + a^2*z^2 - 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21160] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 4*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - z^4/a^6 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21161] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21162] -> 2/a^6 - 5/a^4 + 4/a^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21163] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21164] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21165] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - a^2*z^4 - a^4*z^4 + z^6 - 
   3*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21166] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   z^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21167] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   11*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + 12*a^2*z^4 - 
   4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21168] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 4*a^4*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 3*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 21169] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   z^6/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21170] -> a^(-2) - a^2 + a^4 - 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (5*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21171] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21172] -> 1 + a^2 - 2*a^4 + a^6 - a^4*z^2 + z^4 - 
   3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 21173] -> a^(-6) - a^(-4) + a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 21174] -> 
  -2 + a^(-4) + 2*a^2 - 2*z^2 - z^2/a^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21175] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21176] -> 
  -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 20*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + z^4/a^2 + 34*a^2*z^4 - 17*a^4*z^4 + 
   a^6*z^4 - 7*z^6 + 24*a^2*z^6 - 7*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 21177] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 21178] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21179] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (5*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 21180] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 21181] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 + (6*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^10 - (16*z^4)/a^8 + (19*z^4)/a^6 - (6*z^4)/a^4 - (7*z^6)/a^8 + 
   (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 21182] -> 2 - 2*a^2 + a^4 + z^2 + a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - z^4 + 5*a^2*z^4 - 14*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 21183] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21184] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 21185] -> -1 + 2/a^4 - 2/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 + z^2 + z^2/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 
   7*z^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 5*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 21186] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 21187] -> -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 
   4*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 21188] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21189] -> 
  -a^6 + 7*a^8 - 5*a^10 - 3*a^6*z^2 + 27*a^8*z^2 - 13*a^10*z^2 - 7*a^6*z^4 + 
   38*a^8*z^4 - 13*a^10*z^4 - 5*a^6*z^6 + 25*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 
   8*a^8*z^8 - a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 21190] -> 
  11 - 5/a^2 - 5*a^2 + 39*z^2 - (17*z^2)/a^2 - 17*a^2*z^2 + 51*z^4 - 
   (17*z^4)/a^2 - 17*a^2*z^4 + 31*z^6 - (7*z^6)/a^2 - 7*a^2*z^6 + 9*z^8 - 
   z^8/a^2 - a^2*z^8 + z^10, Knot[14, NonAlternating, 21191] -> 
  -5/a^6 + 9/a^4 - 3/a^2 - (16*z^2)/a^6 + (37*z^2)/a^4 - (15*z^2)/a^2 - 
   (17*z^4)/a^6 + (50*z^4)/a^4 - (17*z^4)/a^2 - (7*z^6)/a^6 + (31*z^6)/a^4 - 
   (7*z^6)/a^2 - z^8/a^6 + (9*z^8)/a^4 - z^8/a^2 + z^10/a^4, 
 Knot[14, NonAlternating, 21192] -> 3 - a^(-2) - a^2 + 15*z^2 - (7*z^2)/a^2 - 
   7*a^2*z^2 + 29*z^4 - (11*z^4)/a^2 - 11*a^2*z^4 + 23*z^6 - (6*z^6)/a^2 - 
   6*a^2*z^6 + 8*z^8 - z^8/a^2 - a^2*z^8 + z^10, 
 Knot[14, NonAlternating, 21193] -> -a^(-6) + a^(-4) + a^(-2) - (8*z^2)/a^6 + 
   (17*z^2)/a^4 - (7*z^2)/a^2 - (12*z^4)/a^6 + (32*z^4)/a^4 - (12*z^4)/a^2 - 
   (6*z^6)/a^6 + (24*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - 
   z^8/a^2 + z^10/a^4, Knot[14, NonAlternating, 21194] -> 
  5*a^8 - 4*a^10 + 4*a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 - 2*a^4*z^4 + 
   6*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 21195] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 14*z^2 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   8*a^2*z^2 + 14*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21196] -> -4/a^6 + 7/a^4 - 2/a^2 - 4*z^2 - 
   (8*z^2)/a^6 + (16*z^2)/a^4 + z^2/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (6*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 21197] -> 
  1 + 6*z^2 - (2*z^2)/a^4 - 4*a^2*z^2 + 9*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21198] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 21199] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21200] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 
   3*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 8*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 21201] -> 
  a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^6 + (2*z^4)/a^4 - a^2*z^4 + z^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 21202] -> -a^(-6) + 3/a^4 - 2/a^2 + 
   a^2 + z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21203] -> 
  -a^2 + 5*a^4 - 3*a^6 - 7*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 - a^8*z^2 - 
   8*a^2*z^4 + 21*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 21204] -> -3*a^2 + 9*a^4 - 5*a^6 - 3*z^2 - 
   4*a^2*z^2 + 24*a^4*z^2 - 11*a^6*z^2 - 4*z^4 + 2*a^2*z^4 + 25*a^4*z^4 - 
   9*a^6*z^4 - z^6 + 4*a^2*z^6 + 12*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 
   2*a^4*z^8, Knot[14, NonAlternating, 21205] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 - (2*z^2)/a^6 + (11*z^2)/a^4 - 
   (5*z^2)/a^2 - (3*z^4)/a^8 + z^4/a^6 + (17*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (10*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4, Knot[14, NonAlternating, 21206] -> 
  3*a^4 - 2*a^6 - 2*z^2 + a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   3*a^2*z^4 + 7*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21207] -> -1 + a^2 + 4*a^4 - 3*a^6 - 3*z^2 - 
   z^2/a^2 + 6*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - z^4/a^2 + 8*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 21208] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - 2*z^4 - z^4/a^8 + (7*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21209] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 21210] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 21211] -> 
  2 - a^(-2) + a^4 - a^6 + 3*z^2 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 21212] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - a^2*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21213] -> -a^4 + 4*a^6 - 2*a^10 - 3*a^4*z^2 + 
   13*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 21214] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   3*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (4*z^4)/a^6 + 
   (12*z^4)/a^4 + z^4/a^2 - z^6/a^6 + (6*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 21215] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 + 
   5*a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 - 4*z^4 + 8*a^2*z^4 + 14*a^4*z^4 - 
   5*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 21216] -> a^2 + a^4 - a^6 + 3*z^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 5*z^4 - 11*a^2*z^4 + 2*a^6*z^4 + 2*z^6 - 8*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 21217] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 21218] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (11*z^2)/a^10 - (23*z^2)/a^8 + (18*z^2)/a^6 + (9*z^4)/a^10 - 
   (25*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 21219] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (5*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 21220] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 4*z^2 + z^2/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   6*z^4 - (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 21221] -> 
  -5 + 2/a^2 + 5*a^2 - a^6 - 10*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   6*z^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 21222] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 + 
   (5*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 21223] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + (6*z^2)/a^10 - (16*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^4)/a^10 - (16*z^4)/a^8 + (20*z^4)/a^6 - (6*z^4)/a^4 - 
   (7*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 21224] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 21225] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - z^4/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 21226] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 
   9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21227] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 21228] -> -a^(-8) + 2/a^4 + (3*z^2)/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 21229] -> -a^(-10) + a^(-8) + a^(-2) + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 21230] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 21231] -> 
  1 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21232] -> -2/a^6 + 3/a^4 + z^2/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 21233] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 4*a^2*z^4 + 
   5*a^4*z^4 - 4*a^6*z^4 + 2*a^4*z^6, Knot[14, NonAlternating, 21234] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 21235] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 21236] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 21237] -> 
  a^6 + 3*a^8 - 3*a^10 + 2*a^4*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + a^4*z^4 - 
   2*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 21238] -> -2*a^2 + 7*a^4 - 4*a^6 - 
   4*z^2 + a^2*z^2 + 16*a^4*z^2 - 8*a^6*z^2 - 4*z^4 + 7*a^2*z^4 + 
   14*a^4*z^4 - 5*a^6*z^4 - z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 21239] -> 
  -a^(-8) + 2/a^4 + (3*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (7*z^4)/a^2 + (5*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 21240] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (4*z^2)/a^10 + (9*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - (3*z^4)/a^10 + 
   (11*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 21241] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + 
   2*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 21242] -> 
  2*a^6 + a^8 - 2*a^10 + a^2*z^2 + 5*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - 
   a^4*z^4 + 3*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 21243] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 21244] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 21245] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 4*z^4 + 2*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 21246] -> a^2 + a^6 - a^8 - z^2 + a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 2*a^2*z^4 + 3*a^4*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 21247] -> 
  -a^2 + 5*a^4 - 3*a^6 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 3*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 21248] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 - a^4*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 21249] -> -4/a^8 + 6/a^6 - a^(-4) - 
   (5*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21250] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 
   7*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 2*z^6, Knot[14, NonAlternating, 21251] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^8 + (3*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 21252] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 - z^2/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 - 
   z^4 - z^4/a^2 + 13*a^2*z^4 - a^4*z^4 - a^6*z^4 + z^6 + 4*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 21253] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 21254] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 21255] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - z^4/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 21256] -> -a^(-8) + 2/a^4 + 2*z^2 + (3*z^2)/a^6 - 
   z^2/a^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 21257] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21258] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - z^6/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 21259] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21260] -> 
  1 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21261] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21262] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 6*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21263] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^10 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 21264] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 
   9*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 21265] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 21266] -> 2*a^2 - a^4 + 7*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + a^6*z^4 + 
   a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21267] -> a^(-4) - a^(-2) + a^2 + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21268] -> -3/a^8 + 4/a^6 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21269] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 3*z^4 + 
   z^4/a^4 + (4*z^4)/a^2, Knot[14, NonAlternating, 21270] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (3*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 - (2*z^4)/a^8, Knot[14, NonAlternating, 21271] -> 
  2*a^2 - a^4 - z^2 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 - z^4/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 21272] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 21273] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 - z^2/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - z^4/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 
   z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 21274] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + (6*z^2)/a^10 - (14*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - (2*z^6)/a^8, Knot[14, NonAlternating, 21275] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 21276] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21277] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21278] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + z^2/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 - (4*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 + z^6 + (3*z^6)/a^2, Knot[14, NonAlternating, 21279] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 21280] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 5*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (17*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21281] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 + 
   (7*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^4 + (6*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 21282] -> 4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21283] -> 2*a^4 - a^8 + 4*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 3*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 21284] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 8*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 5*z^4 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21285] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21286] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 
   10*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21287] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (2*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 21288] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 5*a^2*z^2 + 13*a^4*z^2 - 2*a^8*z^2 - 
   5*a^2*z^4 + 15*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 21289] -> 
  2*a^6 + a^8 - 2*a^10 + a^4*z^2 + 2*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 + 
   a^4*z^4 - a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 21290] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 - 5*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 - z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 21291] -> 
  7 - 4/a^2 - 2*a^4 + 14*z^2 - (7*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 10*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 21292] -> -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + a^2*z^2 + 
   12*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + 6*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 - 
   z^6 + 5*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 21293] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (5*z^2)/a^10 + (12*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - (4*z^4)/a^10 + 
   (14*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 21294] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21295] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 21296] -> 
  a^4 + 2*a^8 - 2*a^10 + 2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 
   3*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 21297] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 + z^2/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 21298] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 8*z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + 4*z^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 21299] -> 3*a^4 - 2*a^6 - z^2 - z^2/a^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 21300] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) - (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^2 - z^4/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 21301] -> 1 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21302] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21303] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 21304] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 21305] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 7*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 
   3*a^10*z^2 + 3*a^4*z^4 - 6*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 2*a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 21306] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 21307] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 21308] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21309] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21310] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21311] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*a^2*z^2 - 
   13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21312] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 6*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 21313] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (12*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 21314] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 6*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21315] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + z^4/a^10 + z^4/a^8 - 
   (7*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21316] -> -7*a^2 + 17*a^4 - 9*a^6 - 23*a^2*z^2 + 
   57*a^4*z^2 - 24*a^6*z^2 - 22*a^2*z^4 + 68*a^4*z^4 - 22*a^6*z^4 - 
   8*a^2*z^6 + 38*a^4*z^6 - 8*a^6*z^6 - a^2*z^8 + 10*a^4*z^8 - a^6*z^8 + 
   a^4*z^10, Knot[14, NonAlternating, 21317] -> 
  6/a^12 - 16/a^10 + 11/a^8 + (17*z^2)/a^12 - (50*z^2)/a^10 + (37*z^2)/a^8 + 
   (17*z^4)/a^12 - (57*z^4)/a^10 + (38*z^4)/a^8 + (7*z^6)/a^12 - 
   (32*z^6)/a^10 + (15*z^6)/a^8 + z^8/a^12 - (9*z^8)/a^10 + (2*z^8)/a^8 - 
   z^10/a^10, Knot[14, NonAlternating, 21318] -> 
  17 - 8/a^2 - 8*a^2 + 56*z^2 - (24*z^2)/a^2 - 24*a^2*z^2 + 68*z^4 - 
   (22*z^4)/a^2 - 22*a^2*z^4 + 38*z^6 - (8*z^6)/a^2 - 8*a^2*z^6 + 10*z^8 - 
   z^8/a^2 - a^2*z^8 + z^10, Knot[14, NonAlternating, 21319] -> 
  -2 + 9*a^4 - 6*a^6 - 7*z^2 + 6*a^2*z^2 + 21*a^4*z^2 - 11*a^6*z^2 - 5*z^4 + 
   11*a^2*z^4 + 18*a^4*z^4 - 6*a^6*z^4 - z^6 + 6*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 21320] -> 
  4/a^12 - 9/a^10 + 3/a^8 + 3/a^6 + (8*z^2)/a^12 - (19*z^2)/a^10 + 
   (3*z^2)/a^8 + (11*z^2)/a^6 + (5*z^4)/a^12 - (15*z^4)/a^10 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 21321] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 20*z^2 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   11*a^2*z^2 + 18*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - 6*a^2*z^4 + 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21322] -> -4 + 7*a^2 + a^4 - 3*a^6 - 10*z^2 + 
   18*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + 17*a^2*z^4 + 11*a^4*z^4 - 
   5*a^6*z^4 - z^6 + 7*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 21323] -> 2/a^12 - 2/a^10 - 5/a^8 + 6/a^6 + 
   (5*z^2)/a^12 - (7*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 + (4*z^4)/a^12 - 
   (9*z^4)/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21324] -> 6/a^16 - 18/a^14 + 13/a^12 + 
   (11*z^2)/a^16 - (63*z^2)/a^14 + (67*z^2)/a^12 + (6*z^4)/a^16 - 
   (79*z^4)/a^14 + (132*z^4)/a^12 + z^6/a^16 - (44*z^6)/a^14 + 
   (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 21325] -> 
  4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + (4*z^2)/a^16 - (29*z^2)/a^14 + 
   (21*z^2)/a^12 + (18*z^2)/a^10 + z^4/a^16 - (26*z^4)/a^14 + (37*z^4)/a^12 + 
   (36*z^4)/a^10 - (9*z^6)/a^14 + (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 21326] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   z^2/a^16 - (12*z^2)/a^14 + z^2/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - 
   (7*z^4)/a^14 + (9*z^4)/a^12 + (26*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 21327] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 - z^4/a^6 + 
   z^4/a^4 + (12*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 21328] -> 2/a^12 - 2/a^10 - 5/a^8 + 6/a^6 + 
   (3*z^2)/a^12 - (3*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 21329] -> 
  3 - 2/a^2 - a^2 + 4*a^4 - 3*a^6 + 6*z^2 - (4*z^2)/a^2 + 2*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 21330] -> 
  2/a^12 - 4/a^10 + 2/a^8 - 2/a^6 + 3/a^4 + (3*z^2)/a^12 - (6*z^2)/a^10 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21331] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   24*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 21332] -> 
  -6 + 14*a^2 - 7*a^4 - 15*z^2 + 37*a^2*z^2 - 15*a^4*z^2 - 10*z^4 + 
   35*a^2*z^4 - 10*a^4*z^4 - 2*z^6 + 14*a^2*z^6 - 2*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 21333] -> 5/a^10 - 13/a^8 + 9/a^6 + (12*z^2)/a^10 - 
   (33*z^2)/a^8 + (22*z^2)/a^6 + (9*z^4)/a^10 - (31*z^4)/a^8 + (15*z^4)/a^6 + 
   (2*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 21334] -> 2/a^10 - 7/a^8 + 9/a^6 - 6/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 21335] -> -3 - 2/a^8 + 5/a^6 - 8/a^4 + 9/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21336] -> -7 - 6/a^4 + 13/a^2 + a^2 - 20*z^2 - 
   (11*z^2)/a^4 + (32*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - (6*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21337] -> 4/a^14 - 13/a^12 + 10/a^10 + 
   (4*z^2)/a^14 - (30*z^2)/a^12 + (35*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^14 - 
   (20*z^4)/a^12 + (41*z^4)/a^10 + (7*z^4)/a^8 - (4*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 21338] -> -4 + 7*a^2 + a^4 - 3*a^6 - 6*z^2 - 
   z^2/a^2 + 16*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - z^4 + 11*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 21339] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   24*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 21340] -> 
  2/a^10 - 7/a^8 + 9/a^6 - 6/a^4 + 3/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (25*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (24*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 21341] -> 
  -3 - 2/a^8 + 5/a^6 - 8/a^4 + 9/a^2 - 7*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (21*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (19*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 21342] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 21*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (29*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (10*z^4)/a^4 + (29*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 21343] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (29*z^2)/a^4 + (15*z^2)/a^2 - z^4 - z^4/a^8 + 
   (13*z^4)/a^6 - (28*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 21344] -> 
  -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (23*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (17*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 21345] -> 3/a^12 - 6/a^10 + 4/a^6 + (7*z^2)/a^12 - 
   (14*z^2)/a^10 - (3*z^2)/a^8 + (13*z^2)/a^6 + (5*z^4)/a^12 - 
   (13*z^4)/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21346] -> 6 - 4/a^2 + 2*a^2 - 3*a^4 + 15*z^2 - 
   (10*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 16*z^4 - (6*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + 7*z^6 - z^6/a^2 + 7*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 21347] -> 2/a^12 - 3/a^10 - 2/a^8 + 
   3/a^6 + a^(-4) + (3*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 21348] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 10*z^2 - (3*z^2)/a^4 + 3*a^2*z^2 - 
   4*a^4*z^2 + 9*z^4 - z^4/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 21349] -> 
  a^(-12) - 4/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^12 - z^2/a^10 - (7*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21350] -> 2 - 2/a^4 + 2/a^2 - a^4 + 5*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 + 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 21351] -> 
  a^(-12) - 4/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - (5*z^2)/a^8 + (4*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6, 
 Knot[14, NonAlternating, 21352] -> a^(-12) - a^(-10) - a^(-8) + a^(-4) + 
   a^(-2) + z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4, 
 Knot[14, NonAlternating, 21353] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 
   5*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 21354] -> -3 + 6*a^2 - 2*a^6 - 5*z^2 + 10*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + 7*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 
   2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 21355] -> 
  3/a^10 - 6/a^8 + a^(-6) + 3/a^4 + (5*z^2)/a^10 - (10*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 21356] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^2 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 21357] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - 
   a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 21358] -> -3/a^4 + 5/a^2 - a^2 + 2*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 21359] -> 2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 + 
   z^2/a^14 - (11*z^2)/a^12 + (7*z^2)/a^10 + (13*z^2)/a^8 - (4*z^4)/a^12 + 
   (9*z^4)/a^10 + (14*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 21360] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + 
   a^4 - a^6 - 5*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 21361] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^2 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 21362] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - 
   a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 21363] -> -2 - 2/a^4 + 5/a^2 - a^2 + 
   a^4 - (4*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21364] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21365] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 21366] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 - a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 
   z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 21367] -> 5 - 3/a^2 + a^2 - 2*a^4 + 10*z^2 - 
   (6*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 8*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 21368] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^4 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 - (5*z^6)/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 21369] -> -1 + 3*a^2 - a^6 + 2*a^2*z^2 + a^4*z^2 + 
   z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 21370] -> 3 - a^(-4) - a^4 + 6*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^2 + 2*a^2*z^4, 
 Knot[14, NonAlternating, 21371] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + (2*z^2)/a^6 + z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 21372] -> 2 - a^(-4) + a^(-2) - a^2 + 
   4*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 21373] -> -a^2 + 4*a^4 - a^6 - a^8 - 5*a^2*z^2 + 
   14*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 + 15*a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21374] -> a^6 + 3*a^8 - 3*a^10 + a^4*z^2 + 
   a^6*z^2 + 14*a^8*z^2 - 7*a^10*z^2 + a^4*z^4 - a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 - a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 21375] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 + 
   z^2/a^2 - 7*z^4 - (7*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21376] -> -a^(-10) + a^(-6) + a^(-4) - 
   (4*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (3*z^4)/a^10 + 
   (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 21377] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + 6*a^2*z^2 - a^4*z^2 + z^4 + 2*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 + z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 21378] -> -a^(-6) + a^(-4) + a^(-2) - 
   z^2/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 - 
   (2*z^4)/a^6 + (14*z^4)/a^4 - (5*z^4)/a^2 + (7*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 21379] -> -1 + a^(-2) + a^2 - 8*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21380] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 21381] -> -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + z^4/a^4 + z^4/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 21382] -> 
  2*a^4 - a^8 - 2*z^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + 4*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 21383] -> -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 - 
   z^2/a^2 + 10*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - z^4/a^2 + 9*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 21384] -> 2 + a^(-4) - 2/a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 3*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 21385] -> a^2 + a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 4*a^2*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 21386] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - 
   2*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 21387] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^2 - 
   a^4*z^4 + 2*z^6 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 21388] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 7*z^4 + z^4/a^4 + a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 21389] -> 3*a^6 - a^8 - a^10 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - a^4*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 21390] -> 4 - a^(-4) - 2*a^2 + 7*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 4*z^4 + (2*z^4)/a^4 - z^4/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 21391] -> -3 + 8*a^2 - 4*a^4 - 5*z^2 - z^2/a^2 + 
   17*a^2*z^2 - 7*a^4*z^2 - z^4 - z^4/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + z^6 + 4*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 21392] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (2*z^2)/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 21393] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 - z^4/a^6 + (5*z^4)/a^2 - z^6 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 21394] -> 
  -1 + a^(-2) + a^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21395] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 21396] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21397] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 - z^6 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21398] -> -1 + 4*a^2 - 2*a^4 + z^2/a^4 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21399] -> 4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - 
   (3*z^2)/a^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^2 + 15*a^2*z^4 - 7*a^4*z^4 - 
   4*z^6 + 17*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 21400] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 21401] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 21402] -> 
  1 - z^2 - z^2/a^8 + (2*z^2)/a^4 - z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21403] -> a^(-2) - a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 21404] -> 2 + a^(-4) - 2/a^2 - z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21405] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   z^2/a^4 - a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 21406] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^6 + z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21407] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + 
   (6*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 + (7*z^4)/a^4 - (17*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 21408] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, NonAlternating, 21409] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 2*z^6 + 3*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21410] -> -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + z^4/a^4 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 21411] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 + z^4/a^12 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 21412] -> -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21413] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 + z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21414] -> 
  1 + a^2 - 2*a^4 + a^6 + 5*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 21415] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^4 + 3*a^2*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21416] -> a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21417] -> 2 - 3*a^4 + 2*a^6 - z^2/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 2*z^4 + 8*a^2*z^4 - 4*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21418] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 21419] -> a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^6 - (3*z^4)/a^4, 
 Knot[14, NonAlternating, 21420] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21421] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 21422] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 21423] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21424] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 21425] -> -3 - a^(-4) + 4/a^2 + a^4 - 8*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + a^4*z^2 - 5*z^4 + (2*z^4)/a^2 - z^6, 
 Knot[14, NonAlternating, 21426] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + z^2 + 
   3*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   5*a^6*z^4 + a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21427] -> a^4 + 4*a^6 - 6*a^8 + 2*a^10 + 
   11*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 - 
   6*a^8*z^4 - a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 21428] -> 1 - a^4 + 2*a^6 - a^8 + z^2/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 21429] -> 
  2 + a^(-8) - a^(-6) - a^(-2) - 2*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 21430] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 21431] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^4 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^2 - 4*a^2*z^4 + 
   2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 21432] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 21433] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - (6*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21434] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - 
   2*a^4*z^6, Knot[14, NonAlternating, 21435] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^8 - (12*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^6 - 
   (3*z^6)/a^4, Knot[14, NonAlternating, 21436] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 21437] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 21438] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + 
   a^2 - 8*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21439] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 14*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 - 
   4*a^2*z^2 + 11*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21440] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 3*z^4 - z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21441] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 + a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 + 
   a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 21442] -> 
  1 - z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 21443] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 - z^4/a^6 - z^4/a^4 + (5*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21444] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 21445] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21446] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21447] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 - 
   (3*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 9*z^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21448] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 21449] -> 3*a^2 - 3*a^4 + a^6 + 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - a^2*z^4 + a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21450] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 - 4*z^4 + z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 21451] -> 
  2 - a^2 - a^4 + a^6 + z^2 - z^2/a^2 - 2*a^4*z^2 - z^4 + 5*a^2*z^4 - 
   2*a^4*z^4 - z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21452] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 7*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21453] -> -1 + a^(-2) + a^2 - 9*z^2 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 20*z^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 21454] -> a^(-10) - 5/a^8 + 5/a^6 + (6*z^2)/a^10 - 
   (17*z^2)/a^8 + (16*z^2)/a^6 + (7*z^4)/a^10 - (21*z^4)/a^8 + (13*z^4)/a^6 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 21455] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (5*z^2)/a^8 - (7*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 21456] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^10 - 
   (9*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 21457] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   5*z^2 - z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21458] -> -a^(-6) + a^(-4) + a^(-2) + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 21459] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 + 
   10*a^2*z^2 - 18*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - z^4 + 9*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 21460] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 21461] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (4*z^2)/a^10 - (9*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 21462] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 21463] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + 
   a^(-4) - (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21464] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 21465] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 - (2*z^4)/a^8 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 21466] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 + a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 21467] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^2 + 2*a^2*z^4 - 4*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 21468] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + z^6/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 21469] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21470] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - z^4/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 21471] -> 2*a^4 - a^8 + 3*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21472] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 5*z^2 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 3*a^2*z^4, 
 Knot[14, NonAlternating, 21473] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 21474] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 21475] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 
   2*z^4 - (5*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21476] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21477] -> a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + z^4/a^12 + z^4/a^10 - 
   (8*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 21478] -> a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^8 - 
   (10*z^2)/a^6 + (8*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (9*z^4)/a^6 + 
   (4*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 21479] -> 
  a^(-14) - a^(-12) - 5/a^10 + 6/a^8 - (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (17*z^2)/a^8 + z^2/a^6 - z^4/a^12 - z^4/a^10 + (15*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 21480] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + 
   (5*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 4*a^2*z^4 + 
   a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 21481] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 21482] -> a^2 + a^6 - a^8 + z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 - a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 21483] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 5*a^2*z^2 - a^4*z^2 - z^4/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 21484] -> -4 + 2/a^2 + 4*a^2 - a^4 - 6*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 + 
   2*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 21485] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4 - z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 21486] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   5*z^2 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 4*z^4 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 21487] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 21488] -> 1 - z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 21489] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 21490] -> 2*a^2 - a^4 - z^2 - z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 21491] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 21492] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2/a^10 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^2 - (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21493] -> a^(-2) - a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 5*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 21494] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 21495] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21496] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 
   8*a^2*z^2 - 18*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 7*a^2*z^4 - 22*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 21497] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + (6*z^4)/a^10 - 
   (11*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^8, Knot[14, NonAlternating, 21498] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21499] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 21500] -> 
  -1 - 2/a^4 + 4/a^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 21501] -> -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^4 + 
   3*a^2*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 21502] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 21503] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (8*z^4)/a^2 + (4*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 21504] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (4*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 + (8*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21505] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 
   4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 21506] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 21507] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21508] -> -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + z^4/a^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 21509] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 2*z^4 + 2*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 21510] -> 
  -4 + 10*a^2 - 5*a^4 - 5*z^2 - z^2/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - z^4/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 + z^6 + 3*a^2*z^6, 
 Knot[14, NonAlternating, 21511] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   12*z^2 - z^2/a^6 - z^2/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 21512] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 - z^2/a^2 + z^4 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21513] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - z^4/a^6 + (5*z^4)/a^2 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 21514] -> 
  -a^2 + 5*a^4 - 3*a^6 + z^2 - a^2*z^2 + 4*a^4*z^2 + 2*z^4 - a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[14, NonAlternating, 21515] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 21516] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (15*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - z^4/a^8 - (12*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 21517] -> 
  2*a^2 - 2*a^6 + a^8 + 7*a^2*z^2 - 6*a^4*z^2 - 7*a^6*z^2 + 6*a^8*z^2 + 
   5*a^2*z^4 - 11*a^4*z^4 - 11*a^6*z^4 + 5*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 21518] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + (2*z^2)/a^6 + 
   z^2/a^4 - (10*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 21519] -> -2/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^10 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   z^4/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21520] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + z^2 + 
   z^2/a^10 + (2*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 21521] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 2*z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 21522] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 21523] -> 
  -1 + a^(-4) + a^4 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 21524] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (5*z^4)/a^10 - 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 21525] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 - z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 21526] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 + 
   4*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 + z^4 + a^2*z^4 - 16*a^4*z^4 + 
   5*a^6*z^4 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21527] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   10*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21528] -> 2 + a^(-4) - 2/a^2 - z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 21529] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21530] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   3*z^4 - 6*a^2*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 21531] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + z^4/a^2 - 3*a^2*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 21532] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 
   6*z^4 + z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 21533] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21534] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 21535] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21536] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 21537] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   7*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - 6*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 21538] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 10*z^2 - 
   z^2/a^6 + (8*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21539] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 
   9*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21540] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21541] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 21542] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21543] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21544] -> 1 - 4*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   4*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 21545] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + 9*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 
   3*a^8*z^2 + 7*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 21546] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - 
   z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 21547] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 21548] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 + (2*z^6)/a^2, Knot[14, NonAlternating, 21549] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6, 
 Knot[14, NonAlternating, 21550] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21551] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + z^4 - a^2*z^4 - a^4*z^4 + z^6 - 3*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21552] -> 
  -5 + 2/a^2 + 5*a^2 - a^6 - 12*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + z^4/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   5*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 21553] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 11*z^2 - (5*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - 
   (4*z^4)/a^2 - 2*a^4*z^4 + 5*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 21554] -> 
  2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 21555] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2 + (2*z^2)/a^6 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 21556] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   11*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + (7*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21557] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 7*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21558] -> 3 - a^(-2) - a^2 - z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 9*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 21559] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   10*z^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 6*z^6 + z^6/a^2 - z^8, 
 Knot[14, NonAlternating, 21560] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21561] -> a^2 + a^4 - a^6 + 4*a^2*z^2 - 7*a^4*z^2 + 
   8*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 15*a^6*z^4 - 
   5*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 21562] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21563] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^4, Knot[14, NonAlternating, 21564] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21565] -> a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21566] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21567] -> 
  3 + a^(-6) - 2/a^4 - a^2 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 
   8*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 21568] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 21569] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21570] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21571] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21572] -> 1 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   4*z^4 + z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 21573] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 - 4*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 21574] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21575] -> -a^(-4) + 2/a^2 + z^2/a^2 + z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 21576] -> 4 - a^(-2) - 3*a^2 + a^4 - 
   z^2 + z^2/a^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 21577] -> 4 + a^(-4) - 3/a^2 - a^2 - z^2/a^4 + 
   z^2/a^2 - 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21578] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 21579] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21580] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 21581] -> 
  a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 21582] -> 
  2 - a^2 - a^4 + a^6 - z^2 - z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   3*z^4 - z^4/a^2 + 15*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - z^6 + 10*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 21583] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21584] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21585] -> -2 + a^(-4) + 2*a^2 - 8*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + (4*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 21586] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   z^4/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21587] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + z^4/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 21588] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 
   4*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 21589] -> -1 + a^(-2) + a^2 - 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 21590] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 + 7*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21591] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - 
   5*z^2 - (2*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21592] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - 7*a^2*z^4 + 
   2*a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 21593] -> 
  2 + 2/a^6 - 3/a^4 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21594] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 21595] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 21596] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 
   8*z^2 - z^2/a^6 - (5*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21597] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 
   6*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 8*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 21598] -> 
  5 - 2/a^2 - 2*a^2 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 9*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 21599] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21600] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 21601] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (6*z^2)/a^12 + (12*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^4)/a^12 + (18*z^4)/a^10 - (22*z^4)/a^8 + (15*z^4)/a^6 + 
   (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 21602] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - 
   (2*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 21603] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21604] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21605] -> -a^(-8) + a^(-6) + a^(-2) + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + (5*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 + (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 21606] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 21607] -> -a^(-4) + 2/a^2 + z^2/a^2 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21608] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21609] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21610] -> 3*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21611] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 7*z^2 - z^2/a^4 - 6*a^2*z^2 + a^4*z^2 + 
   8*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21612] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - 
   3*z^2 - (6*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + z^6/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 21613] -> 
  a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 21614] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 21615] -> a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^4, Knot[14, NonAlternating, 21616] -> 
  a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 21617] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   6*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 3*a^2*z^4 - 
   z^6, Knot[14, NonAlternating, 21618] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 + 6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 5*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 21619] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - z^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 21620] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (18*z^2)/a^8 + (15*z^2)/a^6 + 
   (7*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 21621] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 21622] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 21623] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 6*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 21624] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 
   2*z^2 + z^2/a^8 - (7*z^2)/a^6 + (16*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (14*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 21625] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   14*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - z^4/a^4 + (13*z^4)/a^2 + 10*a^2*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 21626] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 
   6*z^2 + 21*a^2*z^2 - 22*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 21627] -> 
  5*a^2 - 9*a^4 + 6*a^6 - a^10 + 10*a^2*z^2 - 22*a^4*z^2 + 13*a^6*z^2 + 
   6*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 + a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 21628] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 21629] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21630] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 21631] -> -5 + 2/a^2 + 5*a^2 - a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 6*z^4 + 13*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21632] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   4*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 21633] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 + (6*z^2)/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^10 - (18*z^4)/a^8 + (23*z^4)/a^6 - (8*z^4)/a^4 - (8*z^6)/a^8 + 
   (21*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 21634] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 21635] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 - 11*z^4 + z^4/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 21636] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 21637] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 13*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 - 10*z^4 + z^4/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 21638] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 21639] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   5*z^2 + z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21640] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 21641] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 21642] -> 
  -2/a^6 + 3/a^4 - 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21643] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 21644] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21645] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 + 2*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 21646] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 - 3*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 - 7*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21647] -> 2 - a^(-4) + a^(-2) - a^2 + z^2/a^4 + 
   a^2*z^2 - 10*z^4 + z^4/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 21648] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 9*z^2 - 
   z^2/a^6 - (6*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21649] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 21650] -> 
  4 - a^(-4) - 2*a^2 - 3*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 18*z^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 21651] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21652] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21653] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21654] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + 
   (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 21655] -> 1 + 2/a^4 - 3/a^2 + a^2 + 
   3*z^2 + z^2/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 21656] -> 
  2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 21657] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 + 
   7*a^2*z^2 - 7*a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 + 5*a^2*z^4 - 14*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21658] -> a^(-6) - 3/a^4 + 3/a^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21659] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21660] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 21661] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - (2*z^4)/a^8 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21662] -> 2*a^2 - a^4 - 6*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 8*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 21663] -> 3 - a^(-2) - 2*a^4 + a^6 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21664] -> -a^(-4) + 2/a^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21665] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   7*z^2 + z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 21666] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21667] -> 1 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 - 3*z^6 - 
   (2*z^6)/a^4 + (8*z^6)/a^2 - z^8 - z^8/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21668] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 
   10*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21669] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^4 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 21670] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21671] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 
   3*z^2 + 10*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 21672] -> 
  2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   7*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 21673] -> 
  1 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21674] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21675] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 6*a^4*z^2 + 
   10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21676] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 21677] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 21678] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 21679] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21680] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 + 
   z^2/a^6 + z^2/a^4 + 3*a^2*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21681] -> 1 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   z^6/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21682] -> 1 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21683] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + 
   (2*z^2)/a^2 - 5*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 - (4*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21684] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21685] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 6*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (11*z^2)/a^2 - 5*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21686] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21687] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^2 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21688] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 21689] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 20*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 19*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - 4*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 21690] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21691] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 
   5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21692] -> 2 - a^(-4) + 2*a^2 - 2*a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 21693] -> -2/a^4 + 3/a^2 + a^2 - a^4 + z^2 - 
   z^2/a^6 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 21694] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21695] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21696] -> 1 - a^(-10) + 2/a^8 - a^(-6) + z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 21697] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   z^4 - z^4/a^8 + (3*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21698] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (4*z^2)/a^12 - (10*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 + (4*z^4)/a^12 - 
   (9*z^4)/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21699] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21700] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - 
   z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 21701] -> -a^(-6) + a^(-4) + a^(-2) + 
   z^2/a^12 - z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 21702] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 5*a^2*z^2 - 14*a^4*z^2 + 22*a^6*z^2 - 
   10*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 14*a^4*z^4 + 21*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 21703] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 
   2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 
   4*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 21704] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 21705] -> -a^(-4) + 2/a^2 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   (12*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 21706] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 5*z^4 + (4*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 21707] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 21708] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21709] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 17*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 18*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - 4*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 21710] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 21711] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - 
   2*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 21712] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 21713] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   3*z^2 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + 
   z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21714] -> 3*a^6 - a^8 - a^10 - a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 - 2*a^2*z^4 + 6*a^4*z^4 + 
   5*a^8*z^4 - a^10*z^4 - a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21715] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21716] -> 
  -5 + 12*a^2 - 6*a^4 - 13*z^2 + 32*a^2*z^2 - 13*a^4*z^2 - 13*z^4 + 
   39*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 21717] -> 
  3/a^14 - 11/a^12 + 9/a^10 - (23*z^2)/a^12 + (35*z^2)/a^10 - (3*z^4)/a^14 - 
   (15*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 21718] -> 
  6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 - 4*a^4*z^2 + 23*a^6*z^2 - 21*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 - 10*a^4*z^4 + 32*a^6*z^4 - 20*a^8*z^4 + 
   3*a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 21719] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 4*z^2 - (4*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 21720] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - z^2/a^14 - (9*z^2)/a^12 + 
   (11*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + (17*z^4)/a^10 + 
   (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 21721] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 - a^2*z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   7*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 21722] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 21723] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21724] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   z^4/a^4 + z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21725] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21726] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 21727] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - 11*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + z^4 - 
   8*a^2*z^4 + 5*a^4*z^4 - a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21728] -> 5*a^4 - 5*a^6 + a^10 + 9*a^4*z^2 - 
   12*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + 4*a^4*z^4 - 10*a^6*z^4 + a^10*z^4 - 
   3*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 21729] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (13*z^2)/a^6 - 
   (18*z^2)/a^4 + (6*z^2)/a^2 + z^4 + (9*z^4)/a^6 - (24*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 21730] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 21731] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21732] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 
   17*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 21733] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21734] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   10*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 21735] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   6*z^4 + 18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 2*z^6 + 10*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 21736] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^2 + 3*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21737] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^2 - 2*a^4*z^4 + 2*z^6 - 
   2*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21738] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 9*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 21739] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 + (6*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 8*z^6 + z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 21740] -> 
  1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 + 6*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 7*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 21741] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 21742] -> 
  -2 + 5*a^2 - a^4 - a^6 - z^2 + 5*a^2*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 21743] -> -2/a^10 + 2/a^8 + a^(-4) - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (5*z^6)/a^8 - (2*z^6)/a^6 + 
   z^8/a^8, Knot[14, NonAlternating, 21744] -> 
  -a^4 + 4*a^6 - 2*a^10 - 3*a^4*z^2 + 13*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 
   3*a^4*z^4 + 12*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 21745] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 
   2*a^4*z^2 - 2*a^6*z^2 + 16*a^8*z^2 - 7*a^10*z^2 + a^4*z^4 - 2*a^6*z^4 + 
   15*a^8*z^4 - 4*a^10*z^4 - a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 21746] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - (6*z^4)/a^8 + (17*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 21747] -> 
  3*a^6 - a^8 - a^10 - a^4*z^2 + 8*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 
   2*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 21748] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 21749] -> 2 - a^(-2) + a^4 - a^6 + 2*z^2 - 
   a^2*z^2 + 2*a^4*z^2 + z^4/a^2 - 3*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 21750] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 21751] -> 
  a^4 + a^6 - a^10 - a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - a^10*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 21752] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^2 - 2*z^4 + z^4/a^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 21753] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 21754] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^4)/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21755] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   6*a^4*z^2 - 9*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 2*a^4*z^4 - 7*a^6*z^4 + 
   10*a^8*z^4 - 3*a^10*z^4 - 2*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 21756] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 + 
   21*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + 31*a^2*z^4 - 20*a^4*z^4 + 
   2*a^6*z^4 - 6*z^6 + 23*a^2*z^6 - 8*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 21757] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 21758] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 21759] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   z^2/a^12 - (5*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21760] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 - 
   2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^8*z^6, 
 Knot[14, NonAlternating, 21761] -> 1 + a^4 - 2*a^6 + a^8 - 2*z^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 
   5*a^4*z^4 - 6*a^6*z^4 - z^6 + 5*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 21762] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 21763] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 21764] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   7*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21765] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 + z^2/a^4 - (5*z^2)/a^2 - a^4*z^2 - 
   z^4 - z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 21766] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   9*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 - z^6 + a^2*z^6, Knot[14, NonAlternating, 21767] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 
   6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21768] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21769] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21770] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 21771] -> -a^2 + 4*a^4 - a^6 - a^8 - 
   2*z^2 + 9*a^4*z^2 - 2*a^8*z^2 - z^4 + 2*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21772] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 21773] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   z^2 - z^2/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - a^8*z^2 + z^4 + 
   3*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, Knot[14, NonAlternating, 21774] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 21775] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 2*z^2 + (4*z^2)/a^8 - z^2/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 21776] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21777] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 21778] -> -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 21779] -> 3*a^4 - 3*a^6 + a^8 + a^10 - 
   a^12 + 8*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   6*a^4*z^4 - 12*a^6*z^4 + 3*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 21780] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 
   3*a^2 - 18*z^2 + z^2/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 
   17*z^4 - (5*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 21781] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + z^4/a^6 - (14*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21782] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + 
   21*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 21783] -> 
  a^2 + a^6 - a^8 - 2*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - 4*a^2*z^4 + 
   10*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21784] -> a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - 
   (11*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - (13*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 21785] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (25*z^2)/a^14 + (14*z^2)/a^12 + (21*z^2)/a^10 + z^4/a^16 - 
   (25*z^4)/a^14 + (32*z^4)/a^12 + (37*z^4)/a^10 - (9*z^6)/a^14 + 
   (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 21786] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 21787] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 23*z^2 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   12*a^2*z^2 + 24*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 + 11*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21788] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (9*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^12 - 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (5*z^4)/a^6 - z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 21789] -> 1 - 2/a^4 + 3/a^2 - a^2 + z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21790] -> a^(-8) - 2/a^6 + 2/a^2 + 
   (5*z^2)/a^8 - (10*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^8 - 
   (13*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 21791] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 12*a^2*z^4 - 5*a^4*z^4 - 
   z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 21792] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 2*z^2 - 2*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 
   z^4 - a^2*z^4 + 17*a^4*z^4 - 5*a^6*z^4 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21793] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (4*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^4)/a^12 - 
   (9*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21794] -> 9 - a^(-4) - 3/a^2 - 3*a^2 - a^4 + 
   23*z^2 - (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 22*z^4 - 
   z^4/a^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 8*z^6 + z^8, 
 Knot[14, NonAlternating, 21795] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (4*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^4)/a^12 - 
   (9*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21796] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21797] -> -1 + 3*a^2 - a^6 - z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 21798] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 2*z^2 + 3*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 
   a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 21799] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 21800] -> 4 - 3/a^4 + 3/a^2 - 3*a^2 + 11*z^2 - 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + 10*z^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 21801] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 21802] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 21803] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 7*a^2*z^2 - 
   14*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 6*a^6*z^4 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21804] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21805] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 21806] -> 
  -2*a^6 + 9*a^8 - 6*a^10 - 5*a^6*z^2 + 32*a^8*z^2 - 15*a^10*z^2 - 
   8*a^6*z^4 + 42*a^8*z^4 - 14*a^10*z^4 - 5*a^6*z^6 + 26*a^8*z^6 - 
   6*a^10*z^6 - a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + a^8*z^10, 
 Knot[14, NonAlternating, 21807] -> -4/a^6 + 7/a^4 - 2/a^2 - (12*z^2)/a^6 + 
   (28*z^2)/a^4 - (11*z^2)/a^2 - (13*z^4)/a^6 + (38*z^4)/a^4 - (13*z^4)/a^2 - 
   (6*z^6)/a^6 + (25*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - 
   z^8/a^2 + z^10/a^4, Knot[14, NonAlternating, 21808] -> 
  -a^6 + 7*a^8 - 5*a^10 - 5*a^6*z^2 + 31*a^8*z^2 - 15*a^10*z^2 - 8*a^6*z^4 + 
   42*a^8*z^4 - 14*a^10*z^4 - 5*a^6*z^6 + 26*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 
   8*a^8*z^8 - a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 21809] -> 
  -2/a^6 + 3/a^4 - (9*z^2)/a^6 + (20*z^2)/a^4 - (8*z^2)/a^2 - (12*z^4)/a^6 + 
   (33*z^4)/a^4 - (12*z^4)/a^2 - (6*z^6)/a^6 + (24*z^6)/a^4 - (6*z^6)/a^2 - 
   z^8/a^6 + (8*z^8)/a^4 - z^8/a^2 + z^10/a^4, 
 Knot[14, NonAlternating, 21810] -> a^6 + 3*a^8 - 3*a^10 - 2*a^6*z^2 + 
   23*a^8*z^2 - 12*a^10*z^2 - 7*a^6*z^4 + 37*a^8*z^4 - 13*a^10*z^4 - 
   5*a^6*z^6 + 25*a^8*z^6 - 6*a^10*z^6 - a^6*z^8 + 8*a^8*z^8 - a^10*z^8 + 
   a^8*z^10, Knot[14, NonAlternating, 21811] -> 
  -a^(-8) + 2/a^4 - (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21812] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 
   3*a^4*z^2 + 11*a^6*z^2 + 8*a^8*z^2 - 6*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 
   10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 21813] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 21814] -> 2*a^6 + a^8 - 2*a^10 - 2*a^4*z^2 + 
   9*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 + 9*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 21815] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 
   4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 8*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 21816] -> 
  -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - 2*a^4*z^2 + 9*a^6*z^2 + 10*a^8*z^2 - 
   6*a^10*z^2 - 3*a^4*z^4 + 10*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 21817] -> 1 - 4/a^6 + 8/a^4 - 4/a^2 - (8*z^2)/a^6 + 
   (20*z^2)/a^4 - (8*z^2)/a^2 - (5*z^4)/a^6 + (18*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21818] -> -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 21819] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 - 2*a^4*z^2 + 9*a^6*z^2 + 5*a^8*z^2 - 
   4*a^10*z^2 - 7*a^4*z^4 + 21*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 - 5*a^4*z^6 + 
   18*a^6*z^6 - 4*a^8*z^6 - a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 21820] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 21821] -> 
  a^4 + 2*a^8 - 2*a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 
   a^10*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 21822] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21823] -> -a^4 + 5*a^6 - 2*a^8 - a^10 + 9*a^6*z^2 + 
   a^8*z^2 - 2*a^10*z^2 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 21824] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 21825] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 14*z^2 - (5*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 12*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21826] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   11*z^4 + z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 4*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 21827] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + 
   a^2 - 5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 21828] -> 
  6*a^8 - 7*a^10 + 3*a^12 - a^14 + 18*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + 2*a^6*z^4 + 16*a^8*z^4 + a^6*z^6 + 4*a^8*z^6 + a^10*z^6, 
 Knot[14, NonAlternating, 21829] -> 2*a^4 - a^6 + a^8 - a^10 + 4*a^4*z^2 - 
   2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 - a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^8*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21830] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 14*z^2 - 
   z^2/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 12*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 4*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 21831] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   9*a^2*z^2 + 21*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 - 8*a^2*z^4 + 23*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 21832] -> 
  3*a^6 - a^8 - a^10 - 2*a^4*z^2 + 11*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 
   3*a^4*z^4 + 11*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 21833] -> -3/a^6 + 5/a^4 - a^(-2) - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (15*z^2)/a^4 - (6*z^2)/a^2 - (3*z^4)/a^8 + z^4/a^6 + 
   (18*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (10*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4, Knot[14, NonAlternating, 21834] -> 
  4*a^6 - 3*a^8 - a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 21835] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 - z^2 - (5*z^2)/a^6 + (12*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21836] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 
   4*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 
   9*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21837] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + 3*z^4 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 21838] -> 
  -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 11*a^4*z^2 - 
   5*a^6*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 21839] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - 2*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 21840] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21841] -> -1 + 3*a^2 - a^6 - z^2/a^4 + 4*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 21842] -> 2*a^4 - a^6 + a^8 - a^10 - 
   z^2 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + a^8*z^2 - z^4 + a^2*z^4 + 
   4*a^4*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 21843] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21844] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   2*a^4*z^6, Knot[14, NonAlternating, 21845] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 21846] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^8 + (8*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21847] -> 4*a^4 - 5*a^6 + 2*a^8 + a^10 - a^12 + 
   8*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 + a^10*z^2 + 3*a^4*z^4 - 8*a^6*z^4 + 
   2*a^8*z^4 - 2*a^6*z^6, Knot[14, NonAlternating, 21848] -> 
  5*a^8 - 4*a^10 + a^6*z^2 + 16*a^8*z^2 - 6*a^10*z^2 - a^14*z^2 + 3*a^6*z^4 + 
   14*a^8*z^4 - a^10*z^4 + a^12*z^4 + a^6*z^6 + 3*a^8*z^6, 
 Knot[14, NonAlternating, 21849] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (6*z^4)/a^6 - 
   (18*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 21850] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 21851] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 - (5*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 10*z^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 21852] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 6*a^2*z^2 + 16*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 
   5*a^2*z^4 + 16*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^2*z^6 + 7*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 21853] -> -3/a^10 + 6/a^8 - 5/a^6 + 
   3/a^4 - (6*z^2)/a^10 + (16*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^4)/a^10 + (15*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 21854] -> 
  3*a^6 - a^8 - a^10 - a^4*z^2 + 8*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 
   2*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 21855] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 + z^2/a^6 - 
   (9*z^2)/a^4 + (19*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21856] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   (5*z^2)/a^10 + (14*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 - (4*z^4)/a^10 + 
   (14*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 21857] -> 
  4*a^6 - 3*a^8 - a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 2*a^4*z^4 + 
   8*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 21858] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 
   2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 21859] -> 
  -a^(-10) + a^(-8) + a^(-2) - (2*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 21860] -> 
  2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 21861] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 21862] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 21863] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21864] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 - (4*z^2)/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + z^4/a^12 + (12*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 21865] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21866] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 21867] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 10*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21868] -> 
  -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 21*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21869] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 13*z^2 - 
   (4*z^2)/a^2 - 14*a^2*z^2 + 4*a^4*z^2 + 11*z^4 - (2*z^4)/a^2 - 12*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 21870] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 21871] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 9*z^2 - z^2/a^6 + (8*z^2)/a^4 - (15*z^2)/a^2 - 
   2*a^2*z^2 + 9*z^4 + (4*z^4)/a^4 - (13*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - 
   (4*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 21872] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21873] -> 5 - 2/a^2 - 2*a^2 + 7*z^2 - (2*z^2)/a^4 - 
   2*a^2*z^2 - a^4*z^2 + 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 21874] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21875] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 7*z^2 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 21876] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (3*z^2)/a^14 - (8*z^2)/a^12 + (15*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 - z^4/a^12 + (16*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 21877] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 21878] -> 3*a^4 - 2*a^6 + z^2 - z^2/a^2 + a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 21879] -> 5*a^6 - 5*a^8 + a^10 + 8*a^6*z^2 - 
   a^8*z^2 - 2*a^10*z^2 - a^6*z^4 + 15*a^8*z^4 - 7*a^10*z^4 - 4*a^6*z^6 + 
   17*a^8*z^6 - 5*a^10*z^6 - a^6*z^8 + 7*a^8*z^8 - a^10*z^8 + a^8*z^10, 
 Knot[14, NonAlternating, 21880] -> a^(-8) - 4/a^6 + 4/a^4 + (8*z^2)/a^8 - 
   (18*z^2)/a^6 + (12*z^2)/a^4 + (12*z^4)/a^8 - (32*z^4)/a^6 + (13*z^4)/a^4 + 
   (6*z^6)/a^8 - (24*z^6)/a^6 + (6*z^6)/a^4 + z^8/a^8 - (8*z^8)/a^6 + 
   z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 21881] -> 
  5/a^16 - 16/a^14 + 12/a^12 + (10*z^2)/a^16 - (60*z^2)/a^14 + 
   (66*z^2)/a^12 + (6*z^4)/a^16 - (78*z^4)/a^14 + (132*z^4)/a^12 + z^6/a^16 - 
   (44*z^6)/a^14 + (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - 
   z^10/a^14 + (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 21882] -> 
  -5/a^6 + 9/a^4 - 3/a^2 - (10*z^2)/a^6 + (25*z^2)/a^4 - (9*z^2)/a^2 - 
   (6*z^4)/a^6 + (22*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (8*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 21883] -> 
  5/a^12 - 14/a^10 + 10/a^8 + (9*z^2)/a^12 - (33*z^2)/a^10 + (29*z^2)/a^8 + 
   (5*z^4)/a^12 - (25*z^4)/a^10 + (26*z^4)/a^8 + z^6/a^12 - (8*z^6)/a^10 + 
   (9*z^6)/a^8 - z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 21884] -> 
  11 - 5/a^2 - 5*a^2 + 27*z^2 - (11*z^2)/a^2 - 11*a^2*z^2 + 35*z^4 - 
   (12*z^4)/a^2 - 12*a^2*z^4 + 24*z^6 - (6*z^6)/a^2 - 6*a^2*z^6 + 8*z^8 - 
   z^8/a^2 - a^2*z^8 + z^10, Knot[14, NonAlternating, 21885] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (11*z^2)/a^8 - (26*z^2)/a^6 + (15*z^2)/a^4 + 
   (13*z^4)/a^8 - (37*z^4)/a^6 + (14*z^4)/a^4 + (6*z^6)/a^8 - (25*z^6)/a^6 + 
   (6*z^6)/a^4 + z^8/a^8 - (8*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 21886] -> 2*a^4 - a^8 + 3*a^4*z^2 + 3*a^8*z^2 - 
   2*a^10*z^2 - a^4*z^4 + 2*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 21887] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^8 - 
   (10*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 21888] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - z^4/a^8 + (5*z^4)/a^6 + z^6/a^6, 
 Knot[14, NonAlternating, 21889] -> 3/a^12 - 7/a^10 + 2/a^8 + 3/a^6 + 
   (3*z^2)/a^12 - (10*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 + z^4/a^12 - 
   (5*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 21890] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21891] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + (5*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - 
   (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 21892] -> -5 - 4/a^4 + 9/a^2 + a^2 - 7*z^2 - 
   (6*z^2)/a^4 + (16*z^2)/a^2 - (4*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21893] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - a^2*z^2 + 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21894] -> -1 + 3*a^2 - a^6 - 4*z^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + 12*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 21895] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (2*z^2)/a^10 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (11*z^2)/a^4 + z^4/a^10 - z^4/a^8 - (12*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6, Knot[14, NonAlternating, 21896] -> 
  4/a^12 - 10/a^10 + 5/a^8 + 2/a^6 + (6*z^2)/a^12 - (19*z^2)/a^10 + 
   (10*z^2)/a^8 + (7*z^2)/a^6 + (4*z^4)/a^12 - (13*z^4)/a^10 + (4*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 21897] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 24*z^2 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   11*a^2*z^2 + 22*z^4 - z^4/a^4 - z^4/a^2 - 6*a^2*z^4 + 8*z^6 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 21898] -> 3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (14*z^2)/a^8 + (4*z^2)/a^6 + (3*z^4)/a^12 - 
   (9*z^4)/a^10 + (8*z^4)/a^8 + (6*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   z^6/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21899] -> -5/a^6 + 9/a^4 - 3/a^2 - (8*z^2)/a^6 + 
   (21*z^2)/a^4 - (7*z^2)/a^2 - (5*z^4)/a^6 + (18*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21900] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + (4*z^4)/a^2 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 21901] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21902] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 21903] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 21904] -> 
  2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (2*z^4)/a^10 - 
   (5*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 21905] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 5*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 21906] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 21907] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 21908] -> 
  -2/a^12 + 5/a^10 - 4/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (8*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 - (3*z^6)/a^8 - (3*z^6)/a^6, 
 Knot[14, NonAlternating, 21909] -> a^(-6) - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + (3*z^4)/a^8 - (9*z^4)/a^6 + 
   z^4/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 21910] -> 2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^12 - 
   (11*z^4)/a^8 + (10*z^4)/a^6 - (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 21911] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 19*z^2 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 20*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 10*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*z^8 + z^8/a^2, Knot[14, NonAlternating, 21912] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (6*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^8 - (14*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 21913] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 21914] -> 
  -5 + 12*a^2 - 6*a^4 - 10*z^2 - z^2/a^2 + 29*a^2*z^2 - 12*a^4*z^2 - 6*z^4 - 
   z^4/a^2 + 29*a^2*z^4 - 9*a^4*z^4 - z^6 + 13*a^2*z^6 - 2*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 21915] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 8*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + 
   (25*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (23*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 21916] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 17*z^2 - 
   (7*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21917] -> 2/a^10 - 7/a^8 + 8/a^6 - 
   4/a^4 + 2/a^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (23*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (22*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 21918] -> 
  -6 - 5/a^4 + 11/a^2 + a^2 - 15*z^2 - (8*z^2)/a^4 + (24*z^2)/a^2 + 
   3*a^2*z^2 - 15*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 21919] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 21920] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + z^2 - 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + 
   (13*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 21921] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 21922] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 20*z^2 - 
   (5*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 21923] -> -2/a^8 + 7/a^6 - 9/a^4 + 
   5/a^2 - z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 - 
   z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 21924] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 21925] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 21926] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 5*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 21927] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 21928] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (6*z^2)/a^10 - (15*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (13*z^4)/a^8 + (14*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 21929] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 21930] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 
   3*z^2 + a^2*z^2 + 17*a^4*z^2 - 8*a^6*z^2 - z^4 + 17*a^4*z^4 - 5*a^6*z^4 + 
   7*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 21931] -> 
  3/a^12 - 6/a^10 + 4/a^6 + (6*z^2)/a^12 - (15*z^2)/a^10 + (2*z^2)/a^8 + 
   (10*z^2)/a^6 + (4*z^4)/a^12 - (12*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21932] -> a^(-14) - a^(-12) - 4/a^10 + 4/a^8 + 
   a^(-6) - z^2/a^12 - (7*z^2)/a^10 + (11*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^4)/a^12 - (4*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - z^6/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21933] -> -4/a^8 + 6/a^6 - a^(-4) - (5*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 21934] -> 
  1 - a^(-2) + 4*a^4 - 3*a^6 + z^2 - z^2/a^2 + a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + z^4 + a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 21935] -> 2/a^12 - 4/a^10 + a^(-8) + 2/a^4 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 21936] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + z^2/a^12 - (7*z^2)/a^10 + (5*z^2)/a^8 + 
   (7*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 21937] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 7*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 + 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 21938] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 
   6*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 21939] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 21940] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 17*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (26*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (31*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 21941] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   9*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 21942] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 21943] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 21944] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^8 + (18*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (7*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 21945] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 21946] -> 6 - 3/a^2 - a^2 - a^4 + 8*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - z^4 - z^4/a^2 + 16*a^2*z^4 - 
   7*a^4*z^4 - 4*z^6 + 17*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 21947] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 21948] -> 4 - a^(-4) - 2*a^2 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 21949] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 - z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21950] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 21951] -> 2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 6*z^2 - 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 7*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 21952] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 21953] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + (2*z^2)/a^2 - a^4*z^2 + z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 21954] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 21955] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 
   2*a^6 - 12*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   9*z^4 + 20*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 21956] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, Knot[14, NonAlternating, 21957] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   12*a^4*z^2 + 4*a^6*z^2 - 11*z^4 + z^4/a^2 + 19*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 5*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 21958] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 21959] -> -5 + 3/a^2 + 5*a^2 - 3*a^4 + 
   a^8 - 12*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 6*z^4 + 11*a^2*z^4 - 3*a^6*z^4 + 4*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 21960] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   4*z^2 - z^2/a^8 + (12*z^2)/a^6 - (14*z^2)/a^4 + 3*z^4 + (8*z^4)/a^6 - 
   (19*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 21961] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 3*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 21962] -> 
  3*a^6 - a^8 - a^10 - a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 
   2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 21963] -> 
  1 - z^2/a^6 + (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 21964] -> a^4 + a^6 - a^10 - z^2 + a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 21965] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 2*a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 
   2*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 21966] -> -1 + 6*a^4 - 4*a^6 - 3*z^2 + 17*a^4*z^2 - 
   8*a^6*z^2 - z^4 + 17*a^4*z^4 - 5*a^6*z^4 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21967] -> a^(-10) - 5/a^6 + 5/a^4 + (2*z^2)/a^10 + 
   z^2/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   (11*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6, 
 Knot[14, NonAlternating, 21968] -> 3/a^12 - 7/a^10 + 2/a^8 + 3/a^6 + 
   (6*z^2)/a^12 - (17*z^2)/a^10 + (7*z^2)/a^8 + (8*z^2)/a^6 + (4*z^4)/a^12 - 
   (13*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 21969] -> a^(-14) - a^(-12) - 5/a^10 + 6/a^8 - 
   z^2/a^12 - (9*z^2)/a^10 + (16*z^2)/a^8 + (2*z^2)/a^6 + (2*z^4)/a^12 - 
   (5*z^4)/a^10 + (11*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 21970] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + z^4/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 21971] -> -4 + 9*a^2 - 3*a^4 - a^6 - 12*z^2 + 
   27*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 - 11*z^4 + 33*a^2*z^4 - 7*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + 21*a^2*z^6 - 4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 21972] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (2*z^2)/a^12 - z^2/a^10 - (12*z^2)/a^8 + 
   (14*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 - 
   z^6/a^10 - (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 21973] -> 
  -3 - 4/a^4 + 8/a^2 - 10*z^2 - (10*z^2)/a^4 + (24*z^2)/a^2 - 10*z^4 - 
   (10*z^4)/a^4 + (30*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 21974] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 21975] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   4*z^4 + 8*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 21976] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 2*z^2 - 6*a^2*z^2 + 26*a^4*z^2 - 11*a^6*z^2 - 
   z^4 - 2*a^2*z^4 + 22*a^4*z^4 - 6*a^6*z^4 + 8*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 21977] -> 4/a^8 - 10/a^6 + 7/a^4 + (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (23*z^2)/a^6 + (14*z^2)/a^4 + z^4/a^10 + (2*z^4)/a^8 - 
   (21*z^4)/a^6 + (7*z^4)/a^4 - (8*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 21978] -> 12 - a^(-4) - 4/a^2 - 6*a^2 + 27*z^2 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 12*a^2*z^2 + 23*z^4 - z^4/a^4 - z^4/a^2 - 
   6*a^2*z^4 + 8*z^6 - a^2*z^6 + z^8, Knot[14, NonAlternating, 21979] -> 
  3/a^12 - 10/a^10 + 8/a^8 + (3*z^2)/a^12 - (18*z^2)/a^10 + (21*z^2)/a^8 + 
   z^2/a^6 + (3*z^4)/a^12 - (12*z^4)/a^10 + (17*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 - (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 21980] -> 1 - 5/a^6 + 10/a^4 - 5/a^2 + z^2 - 
   (8*z^2)/a^6 + (22*z^2)/a^4 - (10*z^2)/a^2 - (5*z^4)/a^6 + (18*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 21981] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + 
   z^2/a^2 - 2*z^4 + z^4/a^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 21982] -> -1 + 3*a^2 - a^6 - z^2 - z^2/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 21983] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 3*z^2 - 
   z^2/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 6*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 21984] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + z^2/a^10 + (3*z^2)/a^8 - (7*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - (6*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 21985] -> 
  4 - 3/a^4 + 3/a^2 - 3*a^2 + 6*z^2 - z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 + 5*z^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 21986] -> a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - 
   (5*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 + 
   z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 21987] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21988] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   2*z^2 + (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 21989] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + z^2/a^16 - (6*z^2)/a^14 - 
   (10*z^2)/a^12 + (24*z^2)/a^10 + (4*z^2)/a^8 - (5*z^4)/a^14 - 
   (2*z^4)/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (3*z^6)/a^12 + 
   (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 21990] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 21991] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^8 + z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 21992] -> a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 
   3/a^8 - (4*z^2)/a^14 + (5*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + (2*z^4)/a^12 + (9*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 21993] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 
   (2*z^4)/a^8 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 21994] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   z^2/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 21995] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 + z^4/a^8 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 21996] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 21997] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 21998] -> 2 - a^(-2) + a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 21999] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 22000] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 22001] -> 3/a^6 - 7/a^4 + 5/a^2 + (8*z^2)/a^6 - 
   (19*z^2)/a^4 + (9*z^2)/a^2 + (9*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 22002] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (9*z^2)/a^10 - (25*z^2)/a^8 + (19*z^2)/a^6 + 
   (8*z^4)/a^10 - (26*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^8)/a^8, Knot[14, NonAlternating, 22003] -> 
  7*a^6 - 10*a^8 + 5*a^10 - a^12 - 4*a^4*z^2 + 24*a^6*z^2 - 23*a^8*z^2 + 
   7*a^10*z^2 - 10*a^4*z^4 + 32*a^6*z^4 - 21*a^8*z^4 + 2*a^10*z^4 - 
   6*a^4*z^6 + 23*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 22004] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 22005] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   2*z^2 + 13*a^2*z^2 - 23*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   11*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 22006] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + 
   3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22007] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 22008] -> -3/a^6 + 5/a^4 - a^(-2) - z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 - z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 + 
   z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 22009] -> 
  3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + 7*z^4 - z^4/a^2 - 9*a^2*z^4 + 5*a^4*z^4 + 2*z^6 - 
   5*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 22010] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 22011] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 4*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 22012] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - 
   a^2*z^2 - 2*a^4*z^2 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 22013] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 12*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (16*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22014] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22015] -> 4*a^8 - 5*a^12 + 2*a^14 + 13*a^8*z^2 + 
   5*a^10*z^2 - 9*a^12*z^2 + 17*a^8*z^4 + 8*a^10*z^4 - 2*a^12*z^4 - 
   a^14*z^4 + 8*a^8*z^6 + 3*a^10*z^6 + a^12*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 22016] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 + 3*z^2 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + 2*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22017] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22018] -> 
  -4 + 10*a^2 - 5*a^4 - 11*z^2 + 28*a^2*z^2 - 13*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   33*a^2*z^4 - 12*a^4*z^4 - 5*z^6 + 21*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 22019] -> 
  -4 - 5/a^4 + 10/a^2 - 12*z^2 - (12*z^2)/a^4 + (29*z^2)/a^2 - 11*z^4 - 
   (11*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22020] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (16*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 22021] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22022] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 22023] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 28*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - (4*z^4)/a^4 + (24*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 22024] -> 
  -2/a^12 + 5/a^10 - 4/a^8 - a^(-6) + 3/a^4 - z^2/a^12 + (9*z^2)/a^10 - 
   (10*z^2)/a^8 + (6*z^2)/a^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22025] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + 
   (12*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 22026] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22027] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 22028] -> 
  -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (15*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (5*z^4)/a^6 - (4*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22029] -> -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 
   27*z^2 - (7*z^2)/a^4 + (24*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 32*z^4 - 
   (4*z^4)/a^4 + (25*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22030] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22031] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 + 2*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 22032] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 5*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (17*z^2)/a^2 - 6*z^4 + 
   (6*z^4)/a^6 - (22*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22033] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22034] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 4*z^2 + 17*a^2*z^2 - 21*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 6*z^4 + 21*a^2*z^4 - 23*a^4*z^4 + 6*a^6*z^4 - 
   4*z^6 + 15*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 22035] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + z^4/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   5*z^6 + 15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 22036] -> 
  -2*a^2 + 7*a^4 - 4*a^6 + 2*z^2 - 8*a^2*z^2 + 15*a^4*z^2 - 3*a^6*z^2 - 
   a^8*z^2 + z^4 - 8*a^2*z^4 + 13*a^4*z^4 - a^6*z^4 - a^8*z^4 - 2*a^2*z^6 + 
   6*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 22037] -> 
  1 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22038] -> 
  6*a^2 - 9*a^4 + 5*a^6 - 2*a^8 + a^10 + 7*a^2*z^2 - 18*a^4*z^2 + 
   11*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22039] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^2 + 2*a^2*z^4 - 4*z^6 + z^6/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 22040] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22041] -> 
  1 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22042] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   4*z^2 + z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + z^6 - 4*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 22043] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 22044] -> -1 + a^(-2) + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22045] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 
   8*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22046] -> 
  -2 + 2/a^2 + a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22047] -> -3 + 3/a^6 - 8/a^4 + 8/a^2 + a^2 - 
   7*z^2 + (6*z^2)/a^6 - (19*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22048] -> 
  -a^(-12) + 6/a^10 - 11/a^8 + 6/a^6 + a^(-4) - z^2/a^12 + (13*z^2)/a^10 - 
   (26*z^2)/a^8 + (13*z^2)/a^6 + (3*z^2)/a^4 + (9*z^4)/a^10 - (24*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22049] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (14*z^2)/a^6 + z^4/a^12 - z^4/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 - 
   z^6/a^10 - (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 22050] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 8*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + 3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22051] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + 22*a^2*z^2 - 8*a^4*z^2 - 10*z^4 + 
   29*a^2*z^4 - 10*a^4*z^4 - 5*z^6 + 20*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 22052] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (5*z^2)/a^12 + (11*z^2)/a^10 - 
   (11*z^2)/a^8 + (12*z^2)/a^6 - (2*z^4)/a^12 + (17*z^4)/a^10 - 
   (23*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 22053] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22054] -> -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 - z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22055] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + (5*z^2)/a^8 - (6*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 + (2*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22056] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 12*z^2 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (26*z^2)/a^2 - 11*z^4 - z^4/a^6 - 
   (6*z^4)/a^4 + (33*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22057] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 + a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - z^4 + 
   12*a^4*z^4 - 4*a^6*z^4 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 22058] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (4*z^2)/a^12 - (12*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^12 - 
   (9*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 22059] -> 6 - 2/a^4 - 2*a^2 - a^4 + 16*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 17*z^4 - z^4/a^4 - 
   a^4*z^4 + 7*z^6 + z^8, Knot[14, NonAlternating, 22060] -> 
  -1 - 4/a^6 + 6/a^4 - 4*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 + (5*z^2)/a^2 - 
   4*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22061] -> 
  a^(-14) - a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - (8*z^2)/a^10 + (10*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^4)/a^12 - (5*z^4)/a^10 + (6*z^4)/a^8 + (6*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - z^6/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 22062] -> -2 - 4/a^6 + 5/a^4 + 2/a^2 - 5*z^2 - 
   (8*z^2)/a^6 + (15*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - (5*z^4)/a^6 + 
   (16*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 22063] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 22064] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - 
   z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 22065] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 22066] -> a^(-12) - 3/a^10 + 3/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^12 + (12*z^4)/a^10 - 
   (22*z^4)/a^8 + (15*z^4)/a^6 + (7*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 22067] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 9*z^2 + 
   18*a^2*z^2 - 3*a^6*z^2 - 10*z^4 + 28*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - 
   5*z^6 + 20*a^2*z^6 - 4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 22068] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (2*z^2)/a^16 - (12*z^2)/a^14 - (8*z^2)/a^12 + (30*z^2)/a^10 - 
   (7*z^4)/a^14 - (6*z^4)/a^12 + (51*z^4)/a^10 - z^6/a^14 - z^6/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 22069] -> -1 + 2*a^2 + a^4 - a^8 - 4*z^2 + 
   8*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + 11*a^2*z^4 - a^6*z^4 - z^6 + 
   6*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 22070] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 2*z^2 - 3*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - z^4 - 
   a^2*z^4 + 17*a^4*z^4 - 5*a^6*z^4 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 22071] -> 3/a^8 - 8/a^6 + 6/a^4 + z^2/a^10 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (10*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^6 + 
   (4*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 22072] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (4*z^2)/a^12 - (16*z^2)/a^10 + 
   (13*z^2)/a^8 + (5*z^2)/a^6 + (3*z^4)/a^12 - (10*z^4)/a^10 + (7*z^4)/a^8 + 
   (6*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - z^6/a^8 + (2*z^6)/a^6 - z^8/a^10 - 
   z^8/a^8, Knot[14, NonAlternating, 22073] -> 11 - a^(-4) - 4/a^2 - 4*a^2 - 
   a^4 + 24*z^2 - (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 
   22*z^4 - z^4/a^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 8*z^6 + z^8, 
 Knot[14, NonAlternating, 22074] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 
   3/a^4 + (4*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + z^4/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 22075] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 22076] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (11*z^2)/a^10 - (13*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (7*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 22077] -> 1 - 4/a^8 + 8/a^6 - 4/a^4 + 2*z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22078] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + 
   z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22079] -> -4 - 2/a^4 + 6/a^2 + a^4 - 11*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 8*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 22080] -> -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + a^8 - 
   12*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   6*z^4 + 11*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + 4*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 22081] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 - z^2/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + 
   (8*z^4)/a^6 - (19*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22082] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22083] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 
   z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22084] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^8 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 22085] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22086] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (11*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22087] -> 5*a^2 - 7*a^4 + 3*a^6 + 7*a^2*z^2 - 
   16*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22088] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22089] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22090] -> -2/a^4 + 3/a^2 + a^2 - a^4 - z^2/a^6 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 22091] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 22092] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^2 - 4*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22093] -> -2 + 6*a^2 - 3*a^4 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^2 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 22094] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 - 3*a^2*z^6 + 2*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 22095] -> 
  1 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22096] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 3*z^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 22097] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + z^6 - 4*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 22098] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 22099] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 22100] -> 
  2*a^4 - a^8 + z^2 - a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 - 7*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22101] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + a^4*z^4 + 2*a^6*z^4 - 
   9*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 2*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 22102] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 22103] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   5*z^4 + z^4/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22104] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 22105] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 22106] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 22107] -> 5/a^16 - 12/a^14 + 4/a^12 + 4/a^10 + 
   (7*z^2)/a^16 - (33*z^2)/a^14 + (17*z^2)/a^12 + (21*z^2)/a^10 + 
   (2*z^4)/a^16 - (30*z^4)/a^14 + (33*z^4)/a^12 + (37*z^4)/a^10 - 
   (10*z^6)/a^14 + (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 22108] -> 
  3/a^16 - 6/a^14 - a^(-12) + 4/a^10 + a^(-8) + (2*z^2)/a^16 - 
   (13*z^2)/a^14 + (16*z^2)/a^10 + (6*z^2)/a^8 - (8*z^4)/a^14 + 
   (7*z^4)/a^12 + (24*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + 
   (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22109] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 8*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 + z^6/a^4 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 22110] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 
   7*z^4 - (6*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (17*z^6)/a^2 - 
   z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22111] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22112] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 22113] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 22114] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 22115] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + 2*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 22116] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22117] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 4*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 22118] -> 
  a^(-2) - a^6 + a^8 - 4*z^2 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 
   2*a^4*z^6, Knot[14, NonAlternating, 22119] -> 
  a^(-2) - a^2 + a^4 + z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 22120] -> 
  4*a^6 - 3*a^8 - 2*a^2*z^2 + 2*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 22121] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - a^2*z^2 + 
   11*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 22122] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22123] -> 1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + z^2 - 
   6*a^2*z^2 + 10*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 22124] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 
   a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 22125] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 + z^2/a^4 + z^2/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22126] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 - z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 5*a^4*z^4 - 
   2*a^6*z^4 - z^6 + 4*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 22127] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   z^2 + z^2/a^6 + z^2/a^4 - z^2/a^2 - z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 22128] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 - z^2/a^2 + 3*a^4*z^2 + z^4 - z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 22129] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + z^2/a^8 + z^2/a^6 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 22130] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22131] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^8 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   (2*z^4)/a^6 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 22132] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 22133] -> -1 + a^(-4) + a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 22134] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 
   2/a^2 + z^2/a^10 + (7*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^2 + z^4/a^10 + 
   z^4/a^8 - (13*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 22135] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 3*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22136] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 + z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 22137] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22138] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22139] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 5*a^2*z^2 - 14*a^4*z^2 + 
   21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 14*a^4*z^4 + 
   21*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 22140] -> 
  1 - a^6 + 2*a^8 - a^10 + 3*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + z^4 - 8*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 2*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 22141] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 22142] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 22143] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - 
   2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 22144] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 + a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 22145] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^2 - 2*a^4*z^2 + a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 22146] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 22*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (31*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - (16*z^4)/a^4 + 
   (39*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22147] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 22148] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   21*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (28*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + 
   z^4/a^6 - (17*z^4)/a^4 + (38*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22149] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   11*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 22150] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 - 
   a^2*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^4*z^4 + 2*a^6*z^4, 
 Knot[14, NonAlternating, 22151] -> -3 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + 
   2*a^2 - 11*z^2 + z^2/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 22152] -> -a^(-2) + 5*a^2 - 3*a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - z^4 + 11*a^2*z^4 - 3*a^4*z^4 - z^6 + 5*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22153] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - z^4 - 
   (4*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22154] -> 3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 22155] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 6*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 - z^4/a^6 + (11*z^4)/a^2 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 22156] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - (13*z^2)/a^12 + (17*z^2)/a^10 + 
   (8*z^2)/a^8 - z^4/a^14 - (8*z^4)/a^12 + (25*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22157] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 
   4*a^6*z^4 + a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22158] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 22159] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 22160] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - (2*z^2)/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (9*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 22161] -> 1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 - a^6*z^2 + 3*a^8*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 22162] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 
   a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22163] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 22164] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 
   10*z^2 + z^2/a^4 + 11*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 22165] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^4)/a^10 - (14*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 22166] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 + 
   8*a^6*z^4 - 5*a^8*z^4 - a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 22167] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 4*z^4 + 10*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - z^6 + 6*a^2*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 22168] -> -4 - 2/a^4 + 6/a^2 + a^4 - 
   4*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 22169] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 22170] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (13*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 22171] -> -3/a^8 + 4/a^6 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   z^6/a^8 - z^6/a^6, Knot[14, NonAlternating, 22172] -> 
  -4 - a^(-6) - 3/a^4 + 9/a^2 - 7*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 - 2*z^4 - z^4/a^4 + (11*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22173] -> 4/a^14 - 13/a^12 + 10/a^10 + 
   (4*z^2)/a^14 - (30*z^2)/a^12 + (35*z^2)/a^10 + (2*z^2)/a^8 - 
   (19*z^4)/a^12 + (42*z^4)/a^10 + (6*z^4)/a^8 - (3*z^6)/a^12 + 
   (20*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22174] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 22175] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 + (8*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 22176] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 22177] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - z^6 + a^2*z^6, Knot[14, NonAlternating, 22178] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - (2*z^2)/a^12 + (15*z^2)/a^10 - 
   (30*z^2)/a^8 + (20*z^2)/a^6 + (11*z^4)/a^10 - (29*z^4)/a^8 + 
   (15*z^4)/a^6 + (2*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 22179] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 22180] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   15*z^2 - z^2/a^6 - z^2/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + 
   (6*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, Knot[14, NonAlternating, 22181] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 22182] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (21*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 - 
   (5*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + 
   (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 22183] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 
   13*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 18*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 22184] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 22185] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 11*z^2 + 
   z^2/a^4 + 14*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 7*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 22186] -> -2/a^12 + 7/a^10 - 11/a^8 + 
   7/a^6 - (3*z^2)/a^12 + (17*z^2)/a^10 - (28*z^2)/a^8 + (19*z^2)/a^6 + 
   (12*z^4)/a^10 - (28*z^4)/a^8 + (15*z^4)/a^6 + (2*z^6)/a^10 - 
   (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 22187] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 
   z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 22188] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   9*z^2 + z^2/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 22189] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 22190] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 14*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 + a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 22191] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (23*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - 
   (5*z^4)/a^8 + (19*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + 
   (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 22192] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 22193] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + z^4/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 22194] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   7*z^2 + z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - z^6 + a^2*z^6, Knot[14, NonAlternating, 22195] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 + a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 22196] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + 
   3*a^2*z^4, Knot[14, NonAlternating, 22197] -> 
  a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 - a^2*z^2 + a^4*z^2 + 13*a^6*z^2 - 
   13*a^8*z^2 + 4*a^10*z^2 - a^2*z^4 + a^4*z^4 + 10*a^6*z^4 - 6*a^8*z^4 + 
   a^4*z^6 + 3*a^6*z^6, Knot[14, NonAlternating, 22198] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (28*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (11*z^4)/a^4 + (28*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 22199] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   z^2/a^10 - (13*z^2)/a^8 + (25*z^2)/a^6 - (6*z^2)/a^4 - (9*z^4)/a^8 + 
   (26*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 22200] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (21*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 22201] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 4*z^2 + 
   (6*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 22202] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 20*z^2 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (7*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 22203] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (5*z^4)/a^6 - (17*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 22204] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 18*z^2 - z^2/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 22205] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 22206] -> 
  -2 + 6*a^2 - 3*a^4 - 4*z^2 - z^2/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + 
   14*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22207] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - z^4/a^6 - z^4/a^4 + (10*z^4)/a^2 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 22208] -> 
  -3 - 2/a^6 + 6/a^2 - 5*z^2 - (2*z^2)/a^6 + z^2/a^4 + (12*z^2)/a^2 - 2*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22209] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (22*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^10 - 
   (17*z^4)/a^8 + (30*z^4)/a^6 - (9*z^4)/a^4 - (8*z^6)/a^8 + (22*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 22210] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   5*a^6*z^4 + a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22211] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   z^2/a^4 + z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 22212] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 22213] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 22214] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 11*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 5*a^6*z^4 + a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 22215] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 22216] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 
   2*a^4 - 6*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 22217] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22218] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (27*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 22219] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 11*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 
   3*a^4*z^4 + 12*a^6*z^4 - 6*a^8*z^4 - a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 22220] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 2*z^2 + 8*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - 2*a^4*z^6, Knot[14, NonAlternating, 22221] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 22222] -> -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22223] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + 
   z^4/a^4 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 22224] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^8 + (19*z^2)/a^6 - 
   (20*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^8 + (19*z^4)/a^6 - (32*z^4)/a^4 + 
   (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 22225] -> 
  4*a^2 - 5*a^4 + 2*a^6 + z^2 - z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 
   2*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 22226] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 + z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22227] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 22228] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (29*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22229] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - a^2*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 22230] -> 4/a^6 - 9/a^4 + 6/a^2 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^8 - z^4/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 22231] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - 
   (5*z^2)/a^12 + (21*z^2)/a^10 - (29*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^4)/a^12 + (23*z^4)/a^10 - (40*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 22232] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 16*z^2 - (2*z^2)/a^6 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 8*z^4 - z^4/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 22233] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (28*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (36*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 22234] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 22235] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (27*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (36*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 22236] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 22237] -> -2/a^12 + 4/a^10 - 2/a^8 - 2/a^6 + 
   3/a^4 - (2*z^2)/a^12 + (10*z^2)/a^10 - (7*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 + (7*z^4)/a^10 - (10*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 22238] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22239] -> 2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22240] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (10*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 22241] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (3*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 22242] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 + z^4/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 22243] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 + 
   z^2/a^14 - (17*z^2)/a^12 + (20*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - 
   (10*z^4)/a^12 + (28*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 22244] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 10*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 11*z^4 + z^4/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 22245] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 22246] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   z^6/a^2, Knot[14, NonAlternating, 22247] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - (2*z^2)/a^12 + (12*z^2)/a^10 - (17*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22248] -> 
  1 - a^6 + 2*a^8 - a^10 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 22249] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 
   7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 22250] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   9*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 22251] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 22252] -> -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 22253] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 5*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 22254] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 22255] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (14*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (9*z^4)/a^10 - (17*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22256] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 - a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 - 
   a^12*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 + a^10*z^4 + a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 22257] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 6*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 4*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 22258] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 22259] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22260] -> 1 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 22261] -> 2 + a^(-4) - 2/a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 22262] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + z^2/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 22263] -> -4/a^6 + 7/a^4 - 2/a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 22264] -> -6 - 7/a^4 + 14/a^2 - 13*z^2 - 
   (13*z^2)/a^4 + (33*z^2)/a^2 - 9*z^4 - (9*z^4)/a^4 + (31*z^4)/a^2 - 2*z^6 - 
   (2*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 22265] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 19*z^2 + 
   (4*z^2)/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 22266] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + z^2 + 
   9*a^2*z^2 - 25*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 22267] -> -2/a^12 + 5/a^10 - 3/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (9*z^2)/a^10 - (7*z^2)/a^8 - (7*z^2)/a^6 + 
   (9*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 22268] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 23*z^2 + (7*z^2)/a^2 + 23*a^2*z^2 - 
   6*a^4*z^2 - 21*z^4 + (5*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 22269] -> 5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - z^2 + 
   12*a^2*z^2 - 25*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - z^4 + 10*a^2*z^4 - 
   25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 22270] -> 
  3 - a^(-2) - a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^4 + 3*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[14, NonAlternating, 22271] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - (2*z^2)/a^2 + 3*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 + 4*z^4 - z^4/a^2 + 12*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 22272] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (6*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 - z^6/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 22273] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + z^2 - z^2/a^4 + 3*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 22274] -> -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - 
   a^(-2) + z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 22275] -> -4/a^8 + 6/a^6 - a^(-4) - (5*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (2*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 22276] -> 2/a^14 - 9/a^12 + 8/a^10 - 
   (17*z^2)/a^12 + (25*z^2)/a^10 + (5*z^2)/a^8 - z^4/a^14 - (9*z^4)/a^12 + 
   (30*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 22277] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^10 + 2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + 
   z^4 - 5*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 22278] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 22279] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (17*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (8*z^4)/a^10 - (18*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22280] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 22281] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (17*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22282] -> 
  -5 + 3/a^2 + 3*a^2 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 7*z^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 22283] -> 
  -2/a^12 + 3/a^8 - z^2/a^14 - (4*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^12 + (7*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 22284] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 22285] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + (4*z^2)/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 22286] -> 4 - 2/a^2 - a^4 + 16*z^2 - (9*z^2)/a^2 - 
   4*a^4*z^2 + 21*z^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 11*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 22287] -> 7 - 2/a^4 - 4*a^2 + 21*z^2 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 12*a^2*z^2 + 25*z^4 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 9*a^2*z^4 + 12*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   2*z^8 + z^8/a^2, Knot[14, NonAlternating, 22288] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - a^6*z^4 + 2*z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 22289] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 
   5*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - 
   z^4/a^6 + z^4/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 22290] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (12*z^2)/a^10 + 
   (10*z^2)/a^8 + (6*z^2)/a^6 + (3*z^4)/a^12 - (8*z^4)/a^10 + (4*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 22291] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 11*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 
   z^4 - 9*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - 2*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 22292] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - a^4*z^2 + 14*a^6*z^2 - 14*a^8*z^2 + 
   4*a^10*z^2 - 9*a^4*z^4 + 27*a^6*z^4 - 18*a^8*z^4 + 2*a^10*z^4 - 
   6*a^4*z^6 + 22*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 22293] -> 
  2 - a^2 - a^4 + a^6 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 22294] -> 
  a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - (3*z^2)/a^10 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 22295] -> 2 - 2*a^2 + a^4 + 2*z^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 22296] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 22297] -> a^(-2) - a^4 + a^6 + z^2 - z^2/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22298] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 2*a^4*z^2 + 8*a^6*z^2 + 11*a^8*z^2 - 
   7*a^10*z^2 - 2*a^4*z^4 + 8*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 22299] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 + z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 
   7*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 22300] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22301] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 22302] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22303] -> a^(-12) - 3/a^10 + 3/a^6 + (3*z^2)/a^12 - 
   (7*z^2)/a^10 + (10*z^2)/a^6 + (3*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 22304] -> 
  3 - 3*a^2 + a^6 + 5*z^2 - 10*a^2*z^2 + 2*a^6*z^2 + 3*z^4 - 11*a^2*z^4 + 
   a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 22305] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 8*z^4 + 22*a^2*z^4 - 16*a^4*z^4 + 
   2*a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 7*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 22306] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 22307] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 4*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 
   a^2*z^4 - 2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 5*a^6*z^6 + a^8*z^6 - 
   a^6*z^8, Knot[14, NonAlternating, 22308] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 5*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (10*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[14, NonAlternating, 22309] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 6*z^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 
   a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22310] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 22311] -> 
  a^2 + a^4 - 2*a^8 + a^10 - a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 
   2*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 22312] -> -a^4 + 4*a^6 - 2*a^10 + a^2*z^2 + 
   6*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 22313] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - z^4 - (5*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 22314] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + z^4/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 22315] -> -a^(-4) + 2/a^2 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 22316] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22317] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 22318] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 22319] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 5*z^4 + z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22320] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 18*z^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 22321] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 22322] -> a^(-2) - a^2 + a^4 - 6*z^2 + 
   (3*z^2)/a^2 + a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   3*z^6 + 3*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22323] -> 
  -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 10*a^2*z^2 + 23*a^4*z^2 - a^6*z^2 - 
   4*a^8*z^2 - 9*a^2*z^4 + 25*a^4*z^4 + 3*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 
   12*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 22324] -> 5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 - 3*a^4*z^4 + 11*a^6*z^4 + 4*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 22325] -> -1 + 5*a^4 - 2*a^6 - a^8 - 
   3*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   9*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 22326] -> 2*a^4 - a^8 - a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 22327] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 
   7*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 6*a^2*z^4 + 
   9*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 22328] -> a^2 + a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 22329] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 - 
   2*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 
   7*a^4*z^4 + a^6*z^4 - a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 22330] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - a^8*z^2 + 2*z^4 + 3*a^2*z^4 + 3*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 22331] -> 1 - a^2 + 2*a^4 - a^6 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + (2*z^4)/a^2 + 3*a^4*z^4 - 
   z^6 - a^2*z^6, Knot[14, NonAlternating, 22332] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - z^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   a^8*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 22333] -> -2/a^10 + 3/a^8 - 2/a^6 + 
   2/a^4 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 
   z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22334] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 - 
   (4*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 13*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   5*a^2*z^4 + 6*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22335] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 17*z^2 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 13*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 22336] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^8 + (4*z^2)/a^4 - z^4 - z^4/a^8 + (3*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 22337] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 22338] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 
   5*z^2 - z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   4*z^4 + z^4/a^4 + (4*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 22339] -> 2*a^2 - a^4 - a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 7*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 5*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 22340] -> 2/a^8 - 6/a^6 + 5/a^4 + (11*z^2)/a^8 - 
   (25*z^2)/a^6 + (15*z^2)/a^4 + (13*z^4)/a^8 - (37*z^4)/a^6 + (14*z^4)/a^4 + 
   (6*z^6)/a^8 - (25*z^6)/a^6 + (6*z^6)/a^4 + z^8/a^8 - (8*z^8)/a^6 + 
   z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 22341] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (7*z^2)/a^10 + (12*z^2)/a^8 + (3*z^2)/a^6 - 
   (5*z^4)/a^10 + (16*z^4)/a^8 + z^4/a^6 - z^6/a^10 + (7*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 22342] -> 13 - 6/a^2 - 6*a^2 + 40*z^2 - 
   (17*z^2)/a^2 - 17*a^2*z^2 + 51*z^4 - (17*z^4)/a^2 - 17*a^2*z^4 + 31*z^6 - 
   (7*z^6)/a^2 - 7*a^2*z^6 + 9*z^8 - z^8/a^2 - a^2*z^8 + z^10, 
 Knot[14, NonAlternating, 22343] -> 4/a^12 - 12/a^10 + 9/a^8 + (6*z^2)/a^12 - 
   (26*z^2)/a^10 + (26*z^2)/a^8 + (4*z^4)/a^12 - (20*z^4)/a^10 + 
   (25*z^4)/a^8 + z^6/a^12 - (7*z^6)/a^10 + (9*z^6)/a^8 - z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22344] -> -2/a^6 + 3/a^4 - (5*z^2)/a^6 + 
   (12*z^2)/a^4 - (4*z^2)/a^2 - (8*z^4)/a^6 + (21*z^4)/a^4 - (8*z^4)/a^2 - 
   (5*z^6)/a^6 + (18*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 + (7*z^8)/a^4 - 
   z^8/a^2 + z^10/a^4, Knot[14, NonAlternating, 22345] -> 
  1 + 8*z^2 + (8*z^2)/a^4 - (16*z^2)/a^2 + 12*z^4 + (12*z^4)/a^4 - 
   (32*z^4)/a^2 + 6*z^6 + (6*z^6)/a^4 - (24*z^6)/a^2 + z^8 + z^8/a^4 - 
   (8*z^8)/a^2 - z^10/a^2, Knot[14, NonAlternating, 22346] -> 
  3*a^2 - 3*a^4 + a^6 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 22347] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (5*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + (4*z^4)/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 22348] -> -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^10 + 
   (6*z^4)/a^8 + z^4/a^4 + z^6/a^8, Knot[14, NonAlternating, 22349] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 16*z^2 - (4*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 + 
   14*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 22350] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 3*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (12*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (14*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 22351] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (12*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22352] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 14*z^2 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 + 14*z^4 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 22353] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22354] -> -3/a^4 + 5/a^2 - a^2 - z^2 - z^2/a^6 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^6 + (10*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 22355] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 22356] -> 
  2*a^2 - a^4 + a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 22357] -> -2/a^6 + 3/a^4 - z^2 - (4*z^2)/a^6 + 
   (9*z^2)/a^4 - z^2/a^2 - z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - z^4/a^2 - 
   z^6/a^6 + (6*z^6)/a^4 + z^8/a^4, Knot[14, NonAlternating, 22358] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^4*z^2 + 8*a^8*z^2 - 4*a^10*z^2 - 
   a^4*z^4 + 3*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 22359] -> 2/a^6 - 5/a^4 + 4/a^2 + (3*z^2)/a^8 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 22360] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 6*a^4*z^2 + 20*a^6*z^2 - 4*a^10*z^2 - 
   6*a^4*z^4 + 21*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 22361] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (4*z^2)/a^16 - (24*z^2)/a^14 + (14*z^2)/a^12 + (21*z^2)/a^10 + z^4/a^16 - 
   (25*z^4)/a^14 + (32*z^4)/a^12 + (37*z^4)/a^10 - (9*z^6)/a^14 + 
   (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 22362] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (4*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - z^4/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 22363] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (9*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 22364] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22365] -> a^4 + a^6 - a^10 + a^4*z^2 + 3*a^6*z^2 + 
   6*a^8*z^2 - 4*a^10*z^2 - a^4*z^4 + 4*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 - 
   a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 22366] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (4*z^2)/a^8 + (21*z^2)/a^6 - (25*z^2)/a^4 + (11*z^2)/a^2 - (2*z^4)/a^8 + 
   (20*z^4)/a^6 - (36*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - (24*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 22367] -> -3/a^4 + 5/a^2 - a^2 + 4*z^2 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 22368] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   8*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22369] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (3*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + (3*z^4)/a^12 - 
   (7*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 22370] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 22371] -> 
  2/a^12 - 5/a^10 + 3/a^8 - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (5*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 22372] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + 
   a^(-2) + (7*z^2)/a^8 - (12*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 + (2*z^4)/a^8 - (11*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 22373] -> 
  -4 + 3/a^2 + a^2 + a^4 - 5*z^2 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 22374] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 3*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 22375] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 - z^2/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 22376] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (4*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 22377] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 4*a^4*z^4 - 9*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, NonAlternating, 22378] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (9*z^2)/a^2 + (3*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 22379] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 22380] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 22381] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 22382] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - z^4/a^4 + (12*z^4)/a^2 + 13*a^2*z^4 - 
   a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 22383] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 22384] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 22385] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22386] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 
   2/a^4 - (2*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   z^4/a^10 + z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 22387] -> 1 + 2*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 22388] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22389] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^12 + 
   (2*z^2)/a^10 + (3*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 + 
   (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 22390] -> a^2 + a^4 - a^6 + 2*a^2*z^2 - 
   a^4*z^2 + 2*a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 22391] -> 
  3*a^4 - 2*a^6 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 22392] -> 
  1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 3*a^2*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22393] -> 
  1 + 2*z^2 - 2*a^2*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 3*a^2*z^4 - 3*a^6*z^4 + 
   a^4*z^6, Knot[14, NonAlternating, 22394] -> 
  1 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22395] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^4 + 3*a^2*z^2 - 7*z^4 + z^4/a^4 + 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 22396] -> -2*a^4 + 8*a^6 - 5*a^8 + a^2*z^2 - 
   5*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 - 
   a^10*z^4 + 3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 22397] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 22398] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 22399] -> 2/a^10 - 7/a^8 + 6/a^6 + (4*z^2)/a^10 - 
   (13*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (2*z^4)/a^10 - 
   (10*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 22400] -> 
  4*a^8 - 2*a^10 - a^12 + a^6*z^2 + 14*a^8*z^2 - a^10*z^2 - 2*a^12*z^2 - 
   a^14*z^2 + 3*a^6*z^4 + 13*a^8*z^4 + 3*a^10*z^4 + a^6*z^6 + 3*a^8*z^6 + 
   a^10*z^6, Knot[14, NonAlternating, 22401] -> 
  a^2 + a^6 - a^8 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   z^4 + a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22402] -> -1 + a^(-2) + a^2 - 7*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22403] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22404] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + z^4/a^4 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 22405] -> 4/a^6 - 9/a^4 + 6/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 22406] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 9*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22407] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 
   8*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22408] -> 
  3/a^10 - 9/a^8 + 7/a^6 - z^2/a^12 + (10*z^2)/a^10 - (22*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 + (9*z^4)/a^10 - (22*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22409] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 22410] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   z^2/a^16 - (11*z^2)/a^14 + z^2/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 - 
   (6*z^4)/a^14 + (4*z^4)/a^12 + (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 22411] -> 2/a^8 - 4/a^6 + a^(-4) + 
   2/a^2 + (2*z^2)/a^10 + z^2/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22412] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 + 
   z^2/a^6 + a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 22413] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 - (4*z^2)/a^14 - (5*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 22414] -> a^(-8) - 4/a^4 + 4/a^2 + z^2 + z^2/a^10 + 
   z^2/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 - (6*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 22415] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 22416] -> -2 + 5*a^2 - a^4 - a^6 - 3*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - z^4/a^2 + 9*a^2*z^4 - 
   a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 22417] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 22418] -> -1 + a^2 + 4*a^4 - 3*a^6 - z^2/a^2 + 
   a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + z^4 + a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 
   a^4*z^6, Knot[14, NonAlternating, 22419] -> 2/a^12 - 5/a^10 + a^(-8) + 
   3/a^6 + z^2/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 22420] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 
   10*z^2 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6, Knot[14, NonAlternating, 22421] -> 
  1 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - z^4 + 4*a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22422] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (6*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 22423] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 22424] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22425] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 - z^2/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 22426] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + z^2/a^16 - (7*z^2)/a^14 - (8*z^2)/a^12 + (25*z^2)/a^10 + 
   (3*z^2)/a^8 - (6*z^4)/a^14 + (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 22427] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 + z^2/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 7*z^6 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22428] -> a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 22429] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (14*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22430] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 22431] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 
   3*z^2 - z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 22432] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (4*z^2)/a^14 - z^2/a^12 + 
   (7*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - z^4/a^14 + z^4/a^12 + 
   (11*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 22433] -> 
  -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 
   4*a^8*z^2 - a^10*z^2 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + a^8*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 22434] -> 2 + a^(-8) - a^(-6) - a^(-2) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - z^4/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 22435] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 22436] -> 
  1 - (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + 
   (6*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 22437] -> 2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 - 
   a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 - a^4*z^4 + 2*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 22438] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 22439] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   5*a^4*z^2 + 19*a^6*z^2 - 2*a^8*z^2 - 3*a^10*z^2 - 6*a^4*z^4 + 20*a^6*z^4 + 
   2*a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 22440] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 12*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 11*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22441] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - 
   (4*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 22442] -> 1 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4 + 3*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 22443] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - z^4/a^2 - z^6/a^6 + 
   (6*z^6)/a^4 + z^8/a^4, Knot[14, NonAlternating, 22444] -> 
  a^4 + a^6 - a^10 + 6*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 - 2*a^4*z^4 + 
   7*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 22445] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^10 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 22446] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (5*z^2)/a^8 - (9*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + (4*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 - z^8/a^6, Knot[14, NonAlternating, 22447] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - a^4*z^2 + 9*a^6*z^2 + 6*a^8*z^2 - 
   4*a^10*z^2 - 2*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 
   4*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 22448] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (26*z^2)/a^14 + (17*z^2)/a^12 + (20*z^2)/a^10 + z^4/a^16 - 
   (25*z^4)/a^14 + (33*z^4)/a^12 + (37*z^4)/a^10 - (9*z^6)/a^14 + 
   (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 22449] -> 
  -3/a^10 + 6/a^8 - 5/a^6 + 3/a^4 - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^6/a^8 - z^6/a^6, Knot[14, NonAlternating, 22450] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 24*z^2 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   11*a^2*z^2 + 24*z^4 - (3*z^4)/a^4 + z^4/a^2 - 8*a^2*z^4 + 11*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22451] -> 3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (14*z^2)/a^8 + (4*z^2)/a^6 + z^4/a^12 - 
   (7*z^4)/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 - z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 22452] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 
   9*z^2 + z^2/a^6 + (8*z^2)/a^4 - (20*z^2)/a^2 + 7*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (21*z^4)/a^2 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (10*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, Knot[14, NonAlternating, 22453] -> 
  1 + z^2 - z^2/a^8 + (4*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22454] -> 2*a^4 - a^8 - z^2 + 2*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22455] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 22456] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 
   z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 22457] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 
   3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 22458] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 5*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 22459] -> 1 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22460] -> a^(-2) - a^6 + a^8 - 4*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - 3*z^4 + 6*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22461] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   2*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 22462] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   9*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22463] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 + z^4 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22464] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22465] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + 2*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^2 + z^4 - (2*z^4)/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 22466] -> 
  -1 - a^(-6) + 2/a^4 + a^2 + z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 22467] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (6*z^2)/a^12 + (16*z^2)/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^12 + (14*z^4)/a^10 - (17*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22468] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 11*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (15*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22469] -> a^(-8) - 2/a^6 + 2/a^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 22470] -> 
  1 - z^2 + 2*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 22471] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 22472] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (6*z^2)/a^10 - (18*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 22473] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   16*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 22474] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 22475] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (3*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 22476] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 22477] -> 4*a^2 - 4*a^4 + a^6 - a^8 + a^10 + 
   5*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 22478] -> a^(-2) - a^4 + a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22479] -> -a^(-4) + 2/a^2 + 2*z^2 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (6*z^4)/a^6 - (16*z^4)/a^4 + z^6 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22480] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + 
   z^2/a^2 - z^4 + z^4/a^4 - z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 22481] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 2*z^6 - z^6/a^2, Knot[14, NonAlternating, 22482] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - (2*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 + 
   (7*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 22483] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + z^2/a^6 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 22484] -> -2 + 2/a^2 - a^2 + 3*a^4 - 
   a^6 - 3*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 22485] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - a^4*z^6, Knot[14, NonAlternating, 22486] -> 
  a^(-4) - a^(-2) + a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22487] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^4*z^2 - 
   4*z^4 - z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 22488] -> 
  1 + 3*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 22489] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 22490] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 2*z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 22491] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22492] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + 6*a^2*z^4 - 
   a^6*z^4 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 22493] -> 
  2*a^2 - 2*a^6 + a^8 + 2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 22494] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22495] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 - 
   a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 22496] -> 1 - 3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 7*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - 
   (7*z^6)/a^4 + (17*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22497] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 22498] -> -1 + a^(-4) + a^4 - 11*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 22499] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 22500] -> 
  a^(-4) - a^(-2) + a^2 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 22501] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 2*z^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^2 + a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 22502] -> 2/a^10 - 5/a^8 + 2/a^6 + 
   2/a^4 + (4*z^2)/a^10 - (16*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^4)/a^10 - (18*z^4)/a^8 + (28*z^4)/a^6 - (9*z^4)/a^4 - (8*z^6)/a^8 + 
   (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 22503] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 22504] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 22505] -> 
  a^(-6) - a^(-4) + a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22506] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22507] -> 2/a^6 - 5/a^4 + 4/a^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 22508] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - z^2/a^12 + (5*z^2)/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 22509] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 22510] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 - (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 22511] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (10*z^2)/a^14 - 
   (2*z^2)/a^12 + (21*z^2)/a^10 + (4*z^2)/a^8 - (6*z^4)/a^14 + (3*z^4)/a^12 + 
   (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (17*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22512] -> a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - 
   z^4/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 22513] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 22514] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 22515] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 22516] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 
   5*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22517] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 22518] -> 
  3*a^4 - 2*a^6 - a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 22519] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   6*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 7*z^4 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 22520] -> a^(-14) - 4/a^12 + 4/a^10 - 
   3/a^8 + 3/a^6 - (6*z^2)/a^12 + (14*z^2)/a^10 - (10*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^12 + (13*z^4)/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22521] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - z^4 - z^4/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22522] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 22523] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (4*z^2)/a^14 - (4*z^2)/a^12 + 
   (13*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^14 + z^4/a^12 + 
   (14*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 22524] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - (2*z^4)/a^8 - (5*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 22525] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 22526] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) + (6*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^10 - (13*z^4)/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 22527] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22528] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^2 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 22529] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 - (2*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4, Knot[14, NonAlternating, 22530] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + 
   20*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 19*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - z^6 + 
   8*a^2*z^6 + a^2*z^8, Knot[14, NonAlternating, 22531] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 17*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 22532] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - z^4/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 
   6*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 22533] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22534] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + 6*a^2*z^4 - a^6*z^4 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 22535] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 + z^6/a^2, Knot[14, NonAlternating, 22536] -> 
  -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 5*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 22537] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 22538] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - 
   6*a^4*z^2 + 26*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 - 10*a^4*z^4 + 
   34*a^6*z^4 - 18*a^8*z^4 + 2*a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 
   8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 22539] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 2*z^2 + 
   14*a^2*z^2 - 24*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 3*z^4 + 17*a^2*z^4 - 
   31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 20*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 22540] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   5*z^2 + 19*a^2*z^2 - 19*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   21*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 11*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 22541] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 
   3/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 22542] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22543] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 22544] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 11*z^2 + z^2/a^2 + 23*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 22545] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 22546] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   17*z^2 - (7*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 22547] -> a^(-10) - 5/a^8 + 6/a^6 - 
   2/a^4 + a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 + 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22548] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 22549] -> 2 - 2/a^4 + 2/a^2 - a^4 - z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22550] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (20*z^2)/a^4 + (31*z^2)/a^2 - 13*z^4 + z^4/a^6 - 
   (18*z^4)/a^4 + (39*z^4)/a^2 - 6*z^6 - (7*z^6)/a^4 + (25*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22551] -> 
  1 - a^(-6) + a^(-4) + a^2 - a^4 - z^2/a^6 + (3*z^2)/a^4 + 3*a^2*z^2 - 
   a^4*z^2 - z^4 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 22552] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 
   5*z^2 - (5*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 22553] -> a^(-6) - 3/a^4 + 3/a^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 22554] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 - z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 22555] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22556] -> 
  -4 - 5/a^4 + 10/a^2 - 11*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 + z^4/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 22557] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 11*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22558] -> 4*a^4 - 4*a^6 + 2*a^10 - a^12 + 
   7*a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 3*a^4*z^4 - 
   5*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^6*z^6 - 2*a^8*z^6, 
 Knot[14, NonAlternating, 22559] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22560] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 22561] -> 2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 - a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4, Knot[14, NonAlternating, 22562] -> 
  3/a^10 - 9/a^8 + 7/a^6 - z^2/a^12 + (10*z^2)/a^10 - (24*z^2)/a^8 + 
   (18*z^2)/a^6 + (9*z^4)/a^10 - (25*z^4)/a^8 + (14*z^4)/a^6 + (2*z^6)/a^10 - 
   (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 22563] -> -5 - 4/a^4 + 9/a^2 + a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 22564] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 22565] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + (3*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + (2*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 22566] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 
   6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 22567] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22568] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 22569] -> 4/a^10 - 10/a^8 + 6/a^6 + a^(-4) + 
   (10*z^2)/a^10 - (25*z^2)/a^8 + (13*z^2)/a^6 + (3*z^2)/a^4 + (8*z^4)/a^10 - 
   (24*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 22570] -> -2 + 4*a^2 + a^4 - 2*a^6 - 11*z^2 + 
   22*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + 36*a^2*z^4 - 8*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + 25*a^2*z^6 - 5*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 22571] -> 
  -2 + 5*a^2 - a^4 - a^6 - z^2 - (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 22572] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 22573] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 22574] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 
   2*z^2 + z^2/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 22575] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 2*z^2 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 - 
   (4*z^4)/a^2 - (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 22576] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 22577] -> -2 + a^(-2) + 2*a^2 + a^4 - 
   a^6 - 7*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22578] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 22579] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - z^2 + (6*z^2)/a^4 - (10*z^2)/a^2 + 
   2*a^2*z^2 + z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 22580] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (13*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 22581] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 + (2*z^2)/a^2 - a^4*z^2 + a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22582] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 10*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22583] -> -3 - 4/a^4 + 8/a^2 - 5*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 22584] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (23*z^2)/a^6 - (5*z^2)/a^4 - (10*z^4)/a^8 + (25*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 22585] -> -4 + 11*a^2 - 7*a^4 + a^6 - 7*z^2 + 
   21*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22586] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22587] -> -1 + 3*a^2 - a^6 - z^2/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 22588] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 22589] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 11*z^2 + 
   z^2/a^4 + 14*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 7*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 22590] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + (5*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 22591] -> 2*a^2 - 5*a^4 + 9*a^6 - 6*a^8 + a^10 + 
   3*a^2*z^2 - 10*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 5*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + 3*a^6*z^6, Knot[14, NonAlternating, 22592] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   7*z^4 + z^4/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 22593] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 22594] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 
   5*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 22595] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   8*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 22596] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 22597] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - z^4 + 4*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 22598] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   16*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + 
   (9*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 22599] -> 5*a^6 - 7*a^8 + 6*a^10 - 
   4*a^12 + a^14 + a^4*z^2 + 11*a^6*z^2 - 14*a^8*z^2 + 13*a^10*z^2 - 
   5*a^12*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 10*a^8*z^4 + 8*a^10*z^4 - a^6*z^6 - 
   4*a^8*z^6, Knot[14, NonAlternating, 22600] -> 
  4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + (6*z^2)/a^16 - (31*z^2)/a^14 + 
   (18*z^2)/a^12 + (20*z^2)/a^10 + (2*z^4)/a^16 - (29*z^4)/a^14 + 
   (34*z^4)/a^12 + (37*z^4)/a^10 - (10*z^6)/a^14 + (27*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 22601] -> 
  3/a^16 - 7/a^14 + a^(-12) + 3/a^10 + a^(-8) + (2*z^2)/a^16 - 
   (14*z^2)/a^14 + (2*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 - 
   (8*z^4)/a^14 + (8*z^4)/a^12 + (25*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + 
   (6*z^6)/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 22602] -> 6 - 2/a^4 - 2*a^2 - a^4 + 
   11*z^2 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 8*z^4 + 
   z^4/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 22603] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 
   z^4/a^10 + (5*z^4)/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 22604] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   z^6/a^10 + z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 22605] -> -a^(-4) + 2/a^2 + 2*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + 2*z^4 + z^4/a^8 - (5*z^4)/a^6 - (6*z^4)/a^2 + 
   z^6 - z^6/a^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 22606] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 6*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 22607] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22608] -> -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - 
   z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 + 
   z^4/a^8 - z^4/a^6 + z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 22609] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - a^2*z^2 - 
   2*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 22610] -> 1 - a^2 + 3*a^6 - 2*a^8 - z^2 - a^2*z^2 + 
   4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 22611] -> 2 - 4*a^2 + 4*a^4 - a^8 - z^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 - z^6 + 4*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 22612] -> -1 + a^(-2) + a^4 + a^6 - a^8 - z^2 - 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 22613] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 + 5*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 8*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 22614] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + 
   a^4 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 22615] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 22616] -> 
  1 + a^4 - 3*a^6 + 3*a^8 - a^10 + 2*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 - 
   2*a^8*z^4 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 22617] -> 
  2 + 2/a^6 - 3/a^4 + a^(-2) - 2*a^2 + a^6 + 5*z^2 + z^2/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 22618] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 6*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 22619] -> a^(-2) - a^4 + a^6 - z^2 + z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22620] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + z^2 + z^2/a^6 + (8*z^2)/a^4 - 
   (14*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + z^4/a^6 + z^4/a^4 - (13*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 - z^6/a^4 - (4*z^6)/a^2, 
 Knot[14, NonAlternating, 22621] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 7*z^2 + 
   (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 22622] -> 1 - a^(-8) + 2/a^6 + a^(-4) - 
   3/a^2 + a^2 + z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 - z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2, 
 Knot[14, NonAlternating, 22623] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 3*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 22624] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 5*z^2 - z^2/a^6 + (5*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 22625] -> 
  -4 - a^(-8) + 3/a^6 - 8/a^4 + 11/a^2 - 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (15*z^2)/a^4 + (24*z^2)/a^2 - a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (8*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 22626] -> a^(-16) - 8/a^12 + 8/a^10 + 
   (2*z^2)/a^16 - (8*z^2)/a^14 - (10*z^2)/a^12 + (24*z^2)/a^10 + 
   (4*z^2)/a^8 - (8*z^4)/a^14 + (3*z^4)/a^12 + (28*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (6*z^6)/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 22627] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - (8*z^2)/a^14 - (10*z^2)/a^12 + 
   (24*z^2)/a^10 + (4*z^2)/a^8 - (8*z^4)/a^14 + (3*z^4)/a^12 + 
   (28*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (14*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22628] -> -4 - a^(-8) + 3/a^6 - 8/a^4 + 11/a^2 - 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 - a^2*z^2 - 
   3*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 - a^2*z^4 - 
   (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22629] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - z^2/a^8 + (15*z^2)/a^6 - 
   (23*z^2)/a^4 + (8*z^2)/a^2 + 3*z^4 + (10*z^4)/a^6 - (26*z^4)/a^4 + 
   z^4/a^2 + z^6 + (2*z^6)/a^6 - (12*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 22630] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 + 2*z^2 + (6*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 22631] -> 
  -4 - 5/a^4 + 10/a^2 - 8*z^2 - (12*z^2)/a^4 + (27*z^2)/a^2 - 2*a^2*z^2 - 
   z^4 - (9*z^4)/a^4 + (27*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 22632] -> -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^6 + 
   z^4/a^4 + (11*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 22633] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 22634] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   3*z^2 - z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   4*z^4 + z^4/a^4 + (4*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 22635] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (27*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 22636] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   5*a^2*z^6 - 3*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22637] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 20*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (25*z^2)/a^2 + 5*a^2*z^2 - 22*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22638] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 
   8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22639] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22640] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 
   2*a^2 - 19*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 
   22*z^4 + z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - 
   (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 22641] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (25*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (35*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 22642] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (26*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (36*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 22643] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22644] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22645] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 8*z^2 - 
   (2*z^2)/a^2 - 13*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   12*a^2*z^4 + 5*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 22646] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22647] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   5*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 22648] -> -a^(-12) + 2/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (7*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 22649] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22650] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - 
   a^6 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   8*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 22651] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 22652] -> 
  1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 3*z^2 - 6*a^2*z^2 + 8*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + z^4 - 8*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 - 
   2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 22653] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 5*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 5*z^4 - 3*a^2*z^4 + 
   5*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 22654] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 + z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + z^6, Knot[14, NonAlternating, 22655] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 22656] -> 
  4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 6*z^2 - (4*z^2)/a^2 - 5*a^2*z^2 - 
   a^4*z^2 + 4*z^4 - 2*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 22657] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 22658] -> -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 22659] -> 
  a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22660] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 22661] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   (5*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 + z^6/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 22662] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 22663] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (10*z^2)/a^14 + z^2/a^12 + (13*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^4)/a^14 + (4*z^4)/a^12 + (26*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 22664] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (2*z^2)/a^10 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22665] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 22666] -> 1 + 2*a^2 - 7*a^4 + 8*a^6 - 3*a^8 + z^2 + 
   8*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 
   13*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 22667] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 
   (6*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22668] -> a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 9*a^6*z^4 - 2*a^8*z^4 - 
   a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 22669] -> -1 + 5*a^4 - 2*a^6 - a^8 - 2*z^2 + 
   3*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22670] -> a^(-14) - 3/a^12 + a^(-10) + 
   2/a^6 - (6*z^2)/a^12 + (12*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^4)/a^12 + (18*z^4)/a^10 - (22*z^4)/a^8 + (15*z^4)/a^6 + 
   (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 22671] -> 
  -3 + 6*a^2 - 2*a^6 - 10*z^2 + 21*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + 
   29*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 4*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 22672] -> 
  -3 - 2/a^6 + 6/a^2 - 8*z^2 - z^2/a^6 - (4*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 - 
   (8*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22673] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 22674] -> 2 - 2*a^2 + 2*a^6 - a^8 + 
   4*z^2 - 6*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 22675] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 
   2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 22676] -> 
  -2 + 4*a^2 - a^8 - 2*z^2 + 7*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 22677] -> -a^(-2) + 4*a^2 - a^4 - a^6 + 4*z^2 - 
   (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 7*z^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 22678] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 
   2*z^2 - z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 22679] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   z^4 - a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22680] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 22681] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22682] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 5*a^6*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 22683] -> -3 - 2/a^4 + 5/a^2 + a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22684] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (28*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 22685] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22686] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22687] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 22688] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 22689] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22690] -> 1 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 22691] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 22692] -> 1 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 22693] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (12*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (9*z^4)/a^10 - (16*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22694] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 12*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 8*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 22695] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 
   9*a^2*z^4 - a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 22696] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 + 5*a^2*z^4 - 
   3*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 22697] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 22698] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 + z^4/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 22699] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 22700] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^8 + 
   (7*z^2)/a^6 + z^2/a^2 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 22701] -> 5*a^6 - 5*a^8 + a^10 - 2*a^2*z^2 + 
   a^4*z^2 + 15*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   18*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 22702] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 
   10*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 22703] -> 
  a^(-14) - 7/a^12 + 7/a^10 - z^2/a^14 - (15*z^2)/a^12 + (26*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^14 - (8*z^4)/a^12 + (31*z^4)/a^10 + (10*z^4)/a^8 - 
   z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22704] -> -1 + a^(-2) + a^2 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 22705] -> 2/a^10 - 7/a^8 + 6/a^6 + (7*z^2)/a^10 - 
   (18*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + (7*z^4)/a^10 - (19*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22706] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (15*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + (10*z^4)/a^10 - (19*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22707] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - (5*z^2)/a^12 + (7*z^2)/a^10 + 
   (11*z^2)/a^8 + z^2/a^6 - z^4/a^12 + (8*z^4)/a^10 + (12*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 22708] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   2*z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 22709] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 22710] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + (4*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 22711] -> 
  a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 8*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 
   a^12*z^2 + 6*a^6*z^4 + a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 22712] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + z^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 22713] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22714] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 22715] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + z^4 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22716] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22717] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + 4*a^10*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 22718] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 
   10*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22719] -> 1 + a^2 - 3*a^4 + 3*a^6 - 
   a^8 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   16*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 22720] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + 
   z^2/a^10 - (10*z^2)/a^8 + (29*z^2)/a^6 - (25*z^2)/a^4 + (9*z^2)/a^2 + 
   z^4/a^10 - (13*z^4)/a^8 + (35*z^4)/a^6 - (30*z^4)/a^4 + (6*z^4)/a^2 - 
   (7*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 22721] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 4*z^2 - 10*a^2*z^2 + 6*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4 - 10*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - a^8*z^4 - 
   2*a^2*z^6 + 6*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 22722] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 18*z^2 + (6*z^2)/a^2 + 19*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 28*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 
   20*z^6 + (5*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 22723] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 12*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 22724] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (11*z^4)/a^2 + 
   (2*z^6)/a^4 + (4*z^6)/a^2, Knot[14, NonAlternating, 22725] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 2*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 17*a^6*z^4 - 8*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 22726] -> -1 + 6*a^4 - 4*a^6 - (2*z^2)/a^2 + 
   a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 + 4*z^4 - z^4/a^2 + 13*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 22727] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^10 + 
   (9*z^2)/a^6 - (2*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 22728] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 22729] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 22730] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 - z^2/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 22731] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22732] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + 4*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 22733] -> 
  2 - a^(-2) + a^2 - a^4 - z^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22734] -> -2 + 4*a^2 + a^4 - 2*a^6 - z^2 - 
   z^2/a^4 + 6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 22735] -> 
  -1 - a^(-6) + 3/a^2 - z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22736] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   8*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^4 + 5*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22737] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22738] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 22739] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 22740] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 22741] -> 
  -2 + 6*a^2 - 3*a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   5*z^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 22742] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^2, Knot[14, NonAlternating, 22743] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 22744] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   2*z^4 - z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 - 3*z^6 + (2*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 22745] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   5*z^2 - z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - 5*a^2*z^4 + a^6*z^4 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22746] -> 
  2*a^4 - a^8 - 2*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 13*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 22747] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 
   11*z^2 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 11*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 22748] -> -a^(-6) + a^(-4) + a^(-2) - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (8*z^2)/a^2 - 5*z^4 - (3*z^4)/a^6 + (12*z^4)/a^2 - 
   z^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22749] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - (2*z^2)/a^2 + 3*a^2*z^2 + 9*a^4*z^2 - 
   5*a^6*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 22750] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22751] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 22752] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 22753] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + z^2 - 
   z^2/a^4 + a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 22754] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + 4*a^2*z^2 - 
   a^4*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 22755] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22756] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 22757] -> 
  a^(-14) - 7/a^12 + 7/a^10 - z^2/a^14 - (13*z^2)/a^12 + (22*z^2)/a^10 + 
   (6*z^2)/a^8 - z^4/a^14 - (7*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - 
   z^6/a^12 + (13*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22758] -> 2/a^10 - 7/a^8 + 6/a^6 + (5*z^2)/a^10 - 
   (14*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + (6*z^4)/a^10 - (15*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22759] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - z^2/a^12 + (10*z^2)/a^10 - 
   (13*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22760] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^14 - (5*z^2)/a^12 + (9*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 22761] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 22762] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 22763] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - (3*z^2)/a^12 + (15*z^2)/a^10 - 
   (19*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + (12*z^4)/a^10 - (22*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 22764] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + (5*z^2)/a^10 - (10*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 22765] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 2*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - 
   a^4*z^6 - 2*a^6*z^6, Knot[14, NonAlternating, 22766] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 22767] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + a^4*z^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 22768] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22769] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   z^2/a^16 - (8*z^2)/a^14 - (9*z^2)/a^12 + (27*z^2)/a^10 + (2*z^2)/a^8 - 
   (5*z^4)/a^14 - (2*z^4)/a^12 + (36*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 22770] -> a^(-16) - a^(-14) - 5/a^12 + 
   5/a^10 + a^(-8) - (3*z^2)/a^14 - (7*z^2)/a^12 + (12*z^2)/a^10 + 
   (10*z^2)/a^8 - z^4/a^14 + (13*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 22771] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - a^6*z^4 + z^6 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 22772] -> 
  2*a^8 + a^10 - a^12 - a^14 + 2*a^6*z^2 + 12*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 - a^14*z^2 + 3*a^6*z^4 + 12*a^8*z^4 + 3*a^10*z^4 + a^6*z^6 + 
   3*a^8*z^6 + a^10*z^6, Knot[14, NonAlternating, 22773] -> 
  -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - z^2/a^14 - z^2/a^12 - z^2/a^10 + 
   (14*z^2)/a^8 + z^2/a^6 + (3*z^4)/a^10 + (13*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 22774] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + (10*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 22775] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (9*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - z^4/a^10 + (4*z^4)/a^8 - 
   (6*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 22776] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - (11*z^4)/a^8 + (15*z^4)/a^6 - 
   (5*z^4)/a^4 - (7*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 22777] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 22778] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 - (3*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22779] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 22780] -> 
  2*a^2 - a^4 - z^2 + z^2/a^2 + a^4*z^2 - 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 22781] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 
   17*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + (2*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 22782] -> -2 + a^(-6) - a^(-4) + 2/a^2 - 
   a^2 + 2*a^4 - 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 22783] -> -1 + 6*a^4 - 4*a^6 - 4*z^2 + a^2*z^2 + 
   18*a^4*z^2 - 9*a^6*z^2 - 4*z^4 + 4*a^2*z^4 + 21*a^4*z^4 - 8*a^6*z^4 - 
   z^6 + 4*a^2*z^6 + 11*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 2*a^4*z^8, 
 Knot[14, NonAlternating, 22784] -> -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 - 
   z^2/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - z^4/a^2 + 8*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 22785] -> 5*a^4 - 6*a^6 + 2*a^8 + 13*a^4*z^2 - 
   21*a^6*z^2 + 9*a^8*z^2 + 13*a^4*z^4 - 33*a^6*z^4 + 12*a^8*z^4 + 
   6*a^4*z^6 - 24*a^6*z^6 + 6*a^8*z^6 + a^4*z^8 - 8*a^6*z^8 + a^8*z^8 - 
   a^6*z^10, Knot[14, NonAlternating, 22786] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 3*a^2*z^2 + 2*a^4*z^2 - 10*a^6*z^2 + 
   5*a^8*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 10*a^6*z^4 + 4*a^8*z^4 + a^2*z^6 - 
   4*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 22787] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 + a^2*z^2 + 
   5*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 + 4*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 + 
   a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 22788] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 + 2*z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - 8*a^2*z^4 + 
   4*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^6*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 22789] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 
   3*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 
   a^6*z^6, Knot[14, NonAlternating, 22790] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + 2*z^2 + (8*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + 
   (6*z^4)/a^6 - (17*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 22791] -> 
  -a^4 + 2*a^6 + 4*a^8 - 4*a^10 - a^4*z^2 + 6*a^6*z^2 + 13*a^8*z^2 - 
   7*a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 22792] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (7*z^2)/a^10 - (2*z^2)/a^8 + (11*z^2)/a^6 + (3*z^4)/a^12 - 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 22793] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 + a^2*z^2 - 
   3*a^4*z^2 + 13*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 8*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 22794] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 22795] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 22796] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 - (8*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 22797] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 
   z^2 + 3*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 
   2*a^4*z^4 - 4*a^6*z^4 - z^6 + 4*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 22798] -> -3 + a^(-4) + a^(-2) + a^2 + 
   a^4 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22799] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 - 
   4*a^4*z^2 + 14*a^6*z^2 + 6*a^8*z^2 - 6*a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 + 
   10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 22800] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (3*z^2)/a^12 - (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 + (3*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (11*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 22801] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 6*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (14*z^4)/a^2 + 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 22802] -> -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 - 
   2*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 22803] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 22804] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22805] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (7*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 22806] -> a^6 + 3*a^10 - 3*a^12 + 4*a^6*z^2 + 
   6*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 8*a^8*z^4 + 
   5*a^10*z^4 + a^6*z^6 + 2*a^8*z^6 + a^10*z^6, 
 Knot[14, NonAlternating, 22807] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 22808] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 22809] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22810] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   17*z^2 + z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22811] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   3*a^4*z^2 + 15*a^6*z^2 - 3*a^10*z^2 - 3*a^4*z^4 + 12*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 22812] -> a^(-12) - 6/a^8 + 6/a^6 + 
   z^2/a^12 + (2*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 + (2*z^4)/a^12 + 
   z^4/a^10 - (16*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - 
   (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 22813] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 - 
   a^2*z^2 + 6*a^4*z^2 + 5*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 22814] -> a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 
   3/a^4 + z^2/a^12 - (2*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 22815] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 22816] -> -3 + 2/a^2 + 2*a^2 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 22817] -> -1 - 2/a^4 + 4/a^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^4 + (4*z^4)/a^2, 
 Knot[14, NonAlternating, 22818] -> 3*a^4 - 2*a^6 + 2*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 22819] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   4*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 22820] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22821] -> 3/a^6 - 7/a^4 + 5/a^2 + z^2/a^8 + 
   (5*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22822] -> -3*a^4 + 10*a^6 - 6*a^8 - 7*a^4*z^2 + 
   27*a^6*z^2 - 11*a^8*z^2 - 7*a^4*z^4 + 27*a^6*z^4 - 8*a^8*z^4 - 2*a^4*z^6 + 
   12*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 22823] -> 
  -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 22824] -> a^(-14) - 5/a^12 + 5/a^10 - 2/a^8 + 
   2/a^6 - (7*z^2)/a^12 + (16*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 - (22*z^4)/a^8 + (15*z^4)/a^6 + 
   (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 22825] -> 
  -3 + 8*a^2 - 4*a^4 - 10*z^2 + 24*a^2*z^2 - 10*a^4*z^2 - 10*z^4 + 
   30*a^2*z^4 - 10*a^4*z^4 - 5*z^6 + 20*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 22826] -> 
  a^4 + 2*a^6 - 2*a^8 + 6*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 - 2*a^4*z^4 + 
   7*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 22827] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 23*z^2 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   11*a^2*z^2 + 24*z^4 - (3*z^4)/a^4 + z^4/a^2 - 8*a^2*z^4 + 11*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22828] -> 2*a^4 - a^8 - a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 22829] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 5*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 22830] -> 2*a^4 - a^8 + 2*a^4*z^2 + a^6*z^2 + 
   4*a^8*z^2 - 3*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 - 
   a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 22831] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 10*z^2 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 22832] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22833] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   z^2 + 11*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - z^4 + 9*a^2*z^4 - 
   21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 22834] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - (6*z^2)/a^12 + (14*z^2)/a^10 - 
   (12*z^2)/a^8 + (12*z^2)/a^6 - (2*z^4)/a^12 + (18*z^4)/a^10 - 
   (23*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 22835] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 22836] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 3*z^2 - (5*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 22837] -> 
  2 - 2*a^2 + a^4 - z^2 + z^2/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22838] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 - z^2/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 22839] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + (5*z^2)/a^10 - (18*z^2)/a^8 + 
   (24*z^2)/a^6 - (5*z^2)/a^4 + (2*z^4)/a^10 - (19*z^4)/a^8 + (33*z^4)/a^6 - 
   (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 22840] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 22841] -> a^2 + a^6 - a^8 + a^2*z^2 - 
   2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 6*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 22842] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   10*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 22843] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 22844] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22845] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22846] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (21*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (30*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (20*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 22847] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + 
   (8*z^4)/a^2 + (7*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 22848] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22849] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22850] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22851] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22852] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 9*z^4 + z^4/a^4 + a^4*z^4 - 
   3*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 22853] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^4 + z^2/a^2 + a^6*z^2 - 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 22854] -> 
  5*a^4 - 5*a^6 + a^10 + 14*a^4*z^2 - 19*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 + 
   10*a^4*z^4 - 24*a^6*z^4 - 3*a^8*z^4 + 4*a^10*z^4 + 2*a^4*z^6 - 
   12*a^6*z^6 - 4*a^8*z^6 + a^10*z^6 - 2*a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 22855] -> a^2 + 3*a^4 - 4*a^6 + a^10 + 4*a^2*z^2 + 
   a^4*z^2 - 9*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 - 
   9*a^6*z^4 - a^8*z^4 + a^10*z^4 - 2*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 22856] -> 2*a^2 + a^4 - 3*a^6 + a^10 + 3*a^2*z^2 - 
   6*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 - 
   2*a^8*z^4 + a^10*z^4 - a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 22857] -> 2*a^2 + a^4 - 3*a^6 + a^10 + 2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 3*a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 - a^8*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22858] -> 
  1 + 2*a^4 - 3*a^6 + a^10 + z^2 - a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 22859] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 22860] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 22861] -> 
  a^(-6) - a^(-4) + a^2 - 8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22862] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22863] -> 
  2 + 2/a^6 - 3/a^4 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 - z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 22864] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 22865] -> 
  -2 + 2/a^2 + a^4 - 14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 - z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 22866] -> -2 + a^(-4) + 2*a^2 - 13*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22867] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 22868] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 3*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + 3*z^4 - 2*a^2*z^4 + a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 22869] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 22870] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 4*a^2*z^2 + 5*a^4*z^2 - 2*a^8*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + a^4*z^6, Knot[14, NonAlternating, 22871] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - 3*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 6*a^2*z^4 + 9*a^4*z^4 - 5*a^6*z^4 + z^6 - 3*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 22872] -> 
  1 - z^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - z^6 + 4*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 22873] -> a^2 + a^4 - a^6 + 3*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 3*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 22874] -> 1 + a^2 - 2*a^4 + a^6 - a^4*z^2 - z^4 + 
   2*a^4*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 22875] -> 2*a^2 - a^4 + 3*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 22876] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (4*z^2)/a^10 - (18*z^2)/a^8 + 
   (21*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^10 - (19*z^4)/a^8 + (32*z^4)/a^6 - 
   (10*z^4)/a^4 - (8*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 22877] -> 
  1 + 3/a^6 - 6/a^4 + 3/a^2 - z^2 - z^2/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - z^4/a^8 + (12*z^4)/a^6 - (31*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 22878] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (26*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 22879] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22880] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 22881] -> 1 + 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 22882] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (9*z^2)/a^14 - 
   (4*z^2)/a^12 + (23*z^2)/a^10 + (3*z^2)/a^8 - (7*z^4)/a^14 + (6*z^4)/a^12 + 
   (29*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (14*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 22883] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 22884] -> 2*a^8 + 3*a^10 - 5*a^12 + a^14 + 
   2*a^6*z^2 + 9*a^8*z^2 + 8*a^10*z^2 - 6*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 
   10*a^8*z^4 + 7*a^10*z^4 + a^6*z^6 + 2*a^8*z^6 + a^10*z^6, 
 Knot[14, NonAlternating, 22885] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22886] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 - 5*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 22887] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 9*z^4 + z^4/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - 4*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 22888] -> -3 + 7*a^2 - 2*a^4 - a^6 - 3*z^2 - 
   (3*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   20*a^2*z^4 - 6*a^4*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, NonAlternating, 22889] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 22890] -> 
  a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (21*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 22891] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 - 3*z^4 + 
   6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 22892] -> a^(-10) - 3/a^8 + 5/a^6 - 
   6/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 22893] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 22894] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22895] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 
   7*z^2 + 24*a^2*z^2 - 24*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   30*a^2*z^4 - 26*a^4*z^4 + 6*a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 12*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 22896] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 - 
   (9*z^2)/a^4 + (20*z^2)/a^2 - 12*z^4 - (12*z^4)/a^4 + (33*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (24*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 22897] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (4*z^2)/a^10 + (3*z^2)/a^8 - (22*z^2)/a^6 + 
   (15*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (25*z^4)/a^6 + (10*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (12*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^8 - 
   (2*z^8)/a^6, Knot[14, NonAlternating, 22898] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - (7*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 
   5*z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 22899] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (10*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (10*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22900] -> a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^10 - 
   z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + 
   z^4/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 22901] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 22902] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 22903] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 22904] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 3*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 22905] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 22906] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 22907] -> a^(-8) - 2/a^6 + 2/a^2 - z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22908] -> 2 - a^2 - a^4 + a^6 + z^2 - z^2/a^2 - 
   2*a^4*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 22909] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 22910] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 22911] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (2*z^2)/a^10 - (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22912] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 - 
   a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 22913] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 16*z^2 - 
   (3*z^2)/a^4 - 8*a^2*z^2 + 19*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 
   10*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22914] -> a^2 + a^4 - a^6 + 3*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 22915] -> 
  4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 8*z^2 - z^2/a^6 + z^2/a^4 - 
   4*a^2*z^2 + 6*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 22916] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 - z^2/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - z^4 - z^4/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 22917] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 17*z^2 + z^2/a^6 - (12*z^2)/a^4 + (28*z^2)/a^2 + 
   3*a^2*z^2 - 19*z^4 + z^4/a^6 - (13*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 
   10*z^6 - (6*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 22918] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 22919] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (6*z^4)/a^6 - (4*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 22920] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 22921] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^6, Knot[14, NonAlternating, 22922] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 2*a^4*z^2 + 11*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 
   3*a^4*z^4 + 15*a^6*z^4 - 20*a^8*z^4 + 6*a^10*z^4 - 4*a^4*z^6 + 
   13*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 22923] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22924] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 
   7*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 
   17*a^6*z^4 - 5*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 22925] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 22926] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 6*z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 
   6*a^4*z^2 - 3*z^4 + 14*a^2*z^4 - 4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 22927] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 
   4*z^2 - z^2/a^6 + (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 22928] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22929] -> 
  2 - a^2 - a^6 + a^8 - 2*z^2 + 3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   4*z^4 + 9*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - z^6 + 6*a^2*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 22930] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 22931] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 9*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 3*a^4*z^4 + 
   15*a^6*z^4 - 19*a^8*z^4 + 6*a^10*z^4 - 4*a^4*z^6 + 13*a^6*z^6 - 
   11*a^8*z^6 + a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 22932] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (5*z^2)/a^12 - (15*z^2)/a^10 + (7*z^2)/a^8 + (8*z^2)/a^6 + (4*z^4)/a^12 - 
   (11*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 22933] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 4*z^2 - 
   6*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - 7*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 22934] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 22935] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + z^2 - 4*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 22936] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 22937] -> a^(-12) - 6/a^8 + 6/a^6 + z^2/a^12 + 
   z^2/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (9*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 22938] -> 1 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 22939] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 2*z^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22940] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 22941] -> 
  a^(-4) - 2*a^2 + 2*a^4 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 22942] -> 
  a^(-2) - a^2 + a^4 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22943] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 + z^2/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 22944] -> 
  -3 - 4/a^4 + 8/a^2 - 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 + z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 22945] -> 1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 22946] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 22947] -> 
  2*a^4 - a^8 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 
   3*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 22948] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 22949] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 
   10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22950] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   6*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^4*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 22951] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (24*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 22952] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - 3*z^2 + (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   11*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 22953] -> 
  -2/a^6 + 3/a^4 - z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 22954] -> -1 + a^(-2) + a^2 - z^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   z^6 + a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 22955] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 4*z^4 + 
   14*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 22956] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - (9*z^4)/a^8 + (17*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 22957] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 10*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (11*z^4)/a^2 + 
   (2*z^6)/a^4 + (4*z^6)/a^2, Knot[14, NonAlternating, 22958] -> 
  -1 - 2/a^4 + 4/a^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 22959] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 22960] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 22961] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 4*a^2*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 - 8*a^6*z^4 + 
   a^10*z^4 - 2*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 22962] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 22963] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 + 2*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   a^10*z^2 - a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 22964] -> -6 + 3/a^2 + 5*a^2 - a^4 - 22*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22965] -> -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 22966] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 + z^6/a^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 22967] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   2*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 22968] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 22969] -> 
  2*a^2 - a^6 - a^8 + a^10 + 2*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 22970] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 
   a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 14*a^6*z^4 - 5*a^8*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 22971] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 22972] -> 
  a^(-6) - a^(-4) + a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 22973] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - 5*a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 + 3*a^2*z^6 - 
   8*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 22974] -> 
  1 - 2*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (21*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 22975] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^2 - 6*a^2*z^4 + a^6*z^4 + 2*z^6 - 
   5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 22976] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + 11*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 
   15*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 22977] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 4*a^2*z^4 - 9*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + a^2*z^6 - 5*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^4*z^8 - a^6*z^8, Knot[14, NonAlternating, 22978] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - a^2*z^6 - 
   a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 22979] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (3*z^2)/a^10 + (4*z^2)/a^8 - (20*z^2)/a^6 + 
   (14*z^2)/a^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - (24*z^4)/a^6 + (10*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (12*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^8 - 
   (2*z^8)/a^6, Knot[14, NonAlternating, 22980] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (2*z^2)/a^10 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 22981] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 3*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^4*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 22982] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 22983] -> -2 + 4*a^2 - a^8 - 3*z^2 + 
   6*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 + 4*a^4*z^4 + a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 22984] -> 4 - 2/a^2 - a^4 + 6*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6 + a^2*z^6, Knot[14, NonAlternating, 22985] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 + (5*z^2)/a^8 - (10*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 22986] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 22987] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   4*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 22988] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 22989] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 22990] -> a^(-2) - a^2 + a^4 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + a^6*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 22991] -> 1 - z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 22992] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 22993] -> 
  a^4 + a^6 - a^10 + 3*a^4*z^2 + 3*a^6*z^2 + 2*a^4*z^4 - a^8*z^4 + a^10*z^4 - 
   a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 22994] -> 
  2 - 2*a^2 + a^4 + 7*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   8*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 22995] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 7*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 2*z^4 - 
   8*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + z^6 - 4*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 22996] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   z^2/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 22997] -> 8 - 4/a^2 - 2*a^2 - a^4 + 15*z^2 - 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 13*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 22998] -> -3/a^8 + 4/a^6 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (4*z^2)/a^4 - (7*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 22999] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 23000] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 23001] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - z^4 + 4*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 23002] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 - (9*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23003] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 8*z^2 - z^2/a^2 + 20*a^2*z^2 - 9*a^4*z^2 - 
   7*z^4 - z^4/a^2 + 28*a^2*z^4 - 10*a^4*z^4 - 4*z^6 + 20*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 23004] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 
   2*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 23005] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 15*z^2 + z^2/a^2 + 26*a^2*z^2 - 11*a^4*z^2 - 
   14*z^4 + 37*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 23006] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 3*z^2 - z^2/a^6 + (3*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23007] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   z^2 - (4*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 23008] -> 3/a^12 - 7/a^10 + 2/a^8 + 
   3/a^6 + (5*z^2)/a^12 - (14*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^4)/a^12 - (11*z^4)/a^10 + (8*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 23009] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 9*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 23010] -> 2/a^12 - 4/a^10 + 2/a^6 + 
   a^(-4) + (2*z^2)/a^12 - (5*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 23011] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 23012] -> a^(-12) - 5/a^8 + 4/a^6 + a^(-4) + 
   z^2/a^12 + z^2/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (8*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 23013] -> 
  3 - a^(-2) - a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23014] -> 
  -1 + a^(-4) + a^4 - 2*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 23015] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 23016] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 
   12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 23017] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 23018] -> 3 - a^(-4) - a^4 + 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 23019] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (5*z^2)/a^10 - (17*z^2)/a^8 + 
   (16*z^2)/a^6 + (7*z^4)/a^10 - (21*z^4)/a^8 + (13*z^4)/a^6 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23020] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 23021] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^6 - (25*z^4)/a^4 + 
   (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 23022] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^4 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 23023] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 23024] -> 1 + 3*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 23025] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 23026] -> 
  1 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23027] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 6*a^6*z^2 + 
   7*a^8*z^2 - 5*a^10*z^2 + a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^8*z^6 - a^10*z^6, Knot[14, NonAlternating, 23028] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   6*z^4 + z^4/a^4 + z^4/a^2 + 2*a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 23029] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - 
   a^10 + 4*a^2*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   4*a^4*z^4 - 6*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 23030] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 5*a^4*z^2 + z^4/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 23031] -> 
  a^(-2) - a^4 + a^6 - z^2 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + 
   z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 23032] -> a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + 
   2*a^2*z^2 - 7*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 15*a^6*z^4 - 5*a^8*z^4 - 2*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 23033] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 
   7*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23034] -> -1 - 4/a^4 + 7/a^2 - a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 - a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (23*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 23035] -> 
  -1 - a^(-2) + 8*a^2 - 6*a^4 + a^6 - 3*z^2 - (2*z^2)/a^2 + 20*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - z^4 - z^4/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 + 7*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23036] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 23037] -> 
  4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 + 12*a^6*z^2 - 11*a^8*z^2 + 
   10*a^10*z^2 - 4*a^12*z^2 + 10*a^6*z^4 - 11*a^8*z^4 + 7*a^10*z^4 + 
   2*a^6*z^6 - 6*a^8*z^6 + a^10*z^6 - a^8*z^8, 
 Knot[14, NonAlternating, 23038] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 23039] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23040] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (11*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 23041] -> 3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - 
   a^2 + 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 23042] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + z^4/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 23043] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   (11*z^2)/a^6 - (22*z^2)/a^4 + (11*z^2)/a^2 + (8*z^4)/a^6 - (26*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 23044] -> -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 23045] -> 
  -2 + a^(-4) + 2*a^2 - 14*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 23046] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + (6*z^2)/a^8 - (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 + (2*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 23047] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   6*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 23048] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23049] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 23050] -> 2*a^2 - a^4 - a^6 + 2*a^8 - 
   a^10 + 5*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + 
   2*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + a^10*z^4 - 2*a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 23051] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - a^2*z^2 - 2*a^6*z^2 + a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 23052] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - (4*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23053] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - (4*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23054] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   z^2/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - z^6/a^10 + z^6/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 23055] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   z^6 + 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23056] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + 
   (4*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 23057] -> 1 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - z^6 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23058] -> -2/a^6 + 3/a^4 - z^2/a^6 + (4*z^2)/a^4 + 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 23059] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 23060] -> 
  a^2 + 2*a^4 - 5*a^6 + 5*a^8 - 2*a^10 + 4*a^2*z^2 + 2*a^4*z^2 - 12*a^6*z^2 + 
   9*a^8*z^2 + 2*a^2*z^4 - 3*a^4*z^4 - 12*a^6*z^4 + 2*a^8*z^4 + a^10*z^4 - 
   2*a^4*z^6 - 4*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 23061] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + (2*z^2)/a^6 - z^2/a^2 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 23062] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23063] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + z^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - a^2*z^4 - 
   4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4, Knot[14, NonAlternating, 23064] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23065] -> -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23066] -> 2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 
   5*a^2*z^2 - a^4*z^2 - 10*a^6*z^2 + 9*a^8*z^2 + 2*a^2*z^4 - 4*a^4*z^4 - 
   12*a^6*z^4 + 2*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 - 4*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 23067] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 
   2/a^2 + z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - 
   z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 23068] -> -a^(-12) + a^(-10) + a^(-2) + 
   (3*z^2)/a^10 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 23069] -> 1 - a^2 + 2*a^4 - 2*a^6 + 
   2*a^8 - a^10 + 2*z^2 - a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 23070] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 
   4/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23071] -> 2/a^14 - 9/a^12 + 8/a^10 - 
   (15*z^2)/a^12 + (21*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - (6*z^4)/a^12 + 
   (22*z^4)/a^10 + (13*z^4)/a^8 + (9*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 23072] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   10*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23073] -> a^(-14) - 4/a^12 + 5/a^10 - 
   5/a^8 + 4/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23074] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   (8*z^4)/a^8 + (13*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23075] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 
   3*z^2 - z^2/a^8 + (16*z^2)/a^6 - (25*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 + 
   (10*z^4)/a^6 - (27*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (12*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 23076] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 23077] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 
   23*z^2 + z^2/a^6 - (10*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23078] -> -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 
   23*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23079] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23080] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - (5*z^4)/a^8 + (16*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23081] -> a^(-14) - 5/a^12 + 7/a^10 - 4/a^8 + 
   2/a^4 - (7*z^2)/a^12 + (19*z^2)/a^10 - (13*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^12 + (15*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^4 + 
   (3*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 23082] -> 2*a^2 - a^4 + a^2*z^2 - z^4 + 
   z^4/a^2 - a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 23083] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 23084] -> 1 + a^2 - 3*a^4 + 3*a^6 - 
   a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 23085] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 
   9/a^2 - 9*z^2 - z^2/a^8 + (10*z^2)/a^6 - (27*z^2)/a^4 + (28*z^2)/a^2 - 
   10*z^4 + (6*z^4)/a^6 - (27*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23086] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + 
   7*a^6*z^2 + 5*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 + 6*a^6*z^4 + 3*a^8*z^4 - 
   3*a^10*z^4 + a^12*z^4 + a^6*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 23087] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 23088] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   5*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 23089] -> 2/a^10 - 10/a^8 + 12/a^6 - 
   3/a^4 + (3*z^2)/a^10 - (21*z^2)/a^8 + (34*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^4)/a^10 - (19*z^4)/a^8 + (39*z^4)/a^6 - (11*z^4)/a^4 - (8*z^6)/a^8 + 
   (24*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 23090] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 13*z^2 - 
   (2*z^2)/a^6 + z^2/a^2 - 7*a^2*z^2 + 13*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   3*a^2*z^4 + 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23091] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   (11*z^2)/a^6 - (22*z^2)/a^4 + (11*z^2)/a^2 + (12*z^4)/a^6 - (34*z^4)/a^4 + 
   (12*z^4)/a^2 + (6*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 23092] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 
   3*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 23093] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 23094] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + a^2*z^4 - z^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 23095] -> 
  a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 6*a^4*z^2 - 5*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 8*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 + 
   a^4*z^6 - 6*a^6*z^6 - a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 23096] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + z^2 + 
   6*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 23*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23097] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 - 
   (4*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*z^4 - z^4/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23098] -> -1 + 4*a^4 - 2*a^8 - 2*z^2 + 3*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + 5*a^2*z^4 - a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23099] -> -2 + 4*a^2 + a^4 - 2*a^6 - 9*z^2 + 
   18*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 10*z^4 + 28*a^2*z^4 - 5*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 23100] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 6*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23101] -> 
  1 - a^2 + a^4 + a^6 - a^8 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 23102] -> 2*a^4 - a^6 + a^10 - a^12 + 2*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - a^4*z^4 - 
   7*a^6*z^4 + a^8*z^4 - a^4*z^6 - 2*a^6*z^6, 
 Knot[14, NonAlternating, 23103] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23104] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   2*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23105] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 23106] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 2*z^2 + 6*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 23107] -> -2 + 5*a^2 - a^4 - a^6 + z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 23108] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 2*z^2 + z^2/a^8 - z^2/a^6 + 
   (6*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23109] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 23110] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 23111] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 23112] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 
   12*z^2 - (4*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 11*z^4 - 
   (2*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - 5*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 23113] -> 1 - a^2 + 3*a^4 - 4*a^6 + 
   3*a^8 - a^10 + 3*z^2 - 8*a^2*z^2 + 11*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 
   z^4 - 9*a^2*z^4 + 11*a^4*z^4 - 7*a^6*z^4 - 2*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 23114] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23115] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - 
   a^6 - 3*z^2 + z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 23116] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 23117] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 23118] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 23119] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 9*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 23120] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 23121] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 
   5*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 23122] -> a^(-14) - 3/a^12 + 2/a^10 - 
   2/a^8 + 3/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + 
   (7*z^4)/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 23123] -> 
  a^(-10) - 6/a^8 + 6/a^6 + a^(-4) - a^(-2) + z^2/a^10 - (11*z^2)/a^8 + 
   (17*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - (8*z^4)/a^8 + (19*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 23124] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (5*z^4)/a^8 + (14*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23125] -> 3 + 2/a^4 - 4/a^2 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23126] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + 
   4*z^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23127] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23128] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^8 + 
   (15*z^4)/a^6 - (24*z^4)/a^4 + (8*z^4)/a^2 + (7*z^6)/a^6 - (18*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 23129] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (21*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 23130] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 18*z^2 - 
   (6*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23131] -> 2 - 5*a^4 + 6*a^6 - 2*a^8 + 
   z^2 + 4*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 
   22*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 23132] -> 
  -2 + 4*a^2 - a^4 + 2*a^6 - 2*a^8 - 3*z^2 + 8*a^2*z^2 - 2*a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 - z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23133] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + 
   24*a^2*z^2 - 10*a^4*z^2 - 10*z^4 + 30*a^2*z^4 - 10*a^4*z^4 - 5*z^6 + 
   20*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 23134] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 10*z^2 - 
   (9*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 - (10*z^4)/a^4 + (30*z^4)/a^2 - 
   5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 23135] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (20*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 23136] -> 
  a^(-2) - 2*a^4 + 3*a^6 - a^8 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23137] -> 2 - a^(-2) - 2*a^2 + 4*a^4 - a^6 - a^8 + 
   3*z^2 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   a^2*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 23138] -> 2 - a^(-2) + a^4 - a^6 + 7*z^2 - 
   (4*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23139] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23140] -> 
  3 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 + 3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 23141] -> 
  -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 + 
   6*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 23142] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 - (3*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 23143] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 23144] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 + (5*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 23145] -> 
  -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 10*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (25*z^2)/a^4 + (30*z^2)/a^2 - 10*z^4 + (6*z^4)/a^6 - (26*z^4)/a^4 + 
   (35*z^4)/a^2 - 5*z^6 + z^6/a^6 - (12*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23146] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23147] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 23148] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 5*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 23149] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - z^2 + z^2/a^4 + z^2/a^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23150] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   3*z^2 - z^2/a^2 - a^2*z^2 + a^4*z^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 23151] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - (6*z^2)/a^12 + (15*z^2)/a^10 - 
   (16*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - (17*z^4)/a^8 + 
   (12*z^4)/a^6 + (3*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23152] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 - (6*z^4)/a^8 + (20*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 23153] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (18*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + 
   (16*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 23154] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 5*z^2 - z^2/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 - z^4 - z^4/a^2 + 13*a^2*z^4 - a^4*z^4 - a^6*z^4 + z^6 + 
   4*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 23155] -> 
  -4 - a^(-6) - 3/a^4 + 9/a^2 - 6*z^2 - z^2/a^6 - (5*z^2)/a^4 + 
   (19*z^2)/a^2 - a^2*z^2 - 2*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 - a^2*z^4 - 
   z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23156] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 - 2*a^2*z^4 + 7*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 23157] -> 1 - a^4 + 2*a^6 - a^8 - a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 3*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23158] -> 
  a^2 + a^4 - a^6 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 23159] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 6*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23160] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23161] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   9*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23162] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 21*z^2 + (8*z^2)/a^2 + 9*a^2*z^2 - 33*z^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 23163] -> 
  a^(-10) + a^(-8) - 7/a^6 + 6/a^4 + (4*z^2)/a^10 + (2*z^2)/a^8 - 
   (22*z^2)/a^6 + (15*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (25*z^4)/a^6 + 
   (10*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 23164] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 11*z^2 + z^2/a^4 + 5*a^2*z^2 - 
   10*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 23165] -> 
  a^(-10) - 3/a^6 + a^(-4) + 2/a^2 + (2*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 23166] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 23167] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   6*a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 
   10*a^4*z^4 - 10*a^6*z^4 + 6*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - a^4*z^8 - a^6*z^8, Knot[14, NonAlternating, 23168] -> 
  7 - a^(-4) - a^(-2) - 5*a^2 + a^4 + 14*z^2 - (3*z^2)/a^4 - 8*a^2*z^2 + 
   10*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 23169] -> a^(-10) + a^(-8) - 6/a^6 + 4/a^4 + 
   a^(-2) + (3*z^2)/a^10 - z^2/a^8 - (10*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23170] -> a^(-6) - a^(-2) + a^4 - 3*z^2 - z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 23171] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 2*z^2 + 2*a^2*z^2 - 5*a^4*z^2 - 
   a^6*z^2 + 4*a^8*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - 
   a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 23172] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 3*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 3*z^4 + z^4/a^4 + (4*z^4)/a^2, 
 Knot[14, NonAlternating, 23173] -> a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[14, NonAlternating, 23174] -> 
  -1 + 2/a^2 - a^2 + a^6 - 2*z^2 + z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   z^4 - 6*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23175] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 11*z^2 + 
   (2*z^2)/a^4 + 5*a^2*z^2 - 12*z^4 + z^4/a^4 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 23176] -> 3*a^6 - a^8 - a^10 + 2*a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 - a^10*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 + 
   a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 23177] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 + 
   a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 11*a^4*z^4 + 5*a^6*z^4 - 
   6*a^4*z^6 + a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 23178] -> 
  a^(-10) - a^(-8) + a^(-6) - 4/a^4 + 4/a^2 + (2*z^2)/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + z^4/a^6 - 
   (12*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 23179] -> -1 + a^(-4) + a^4 - 11*z^2 + 
   (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4 - 7*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 23180] -> 
  a^2 + a^8 - a^10 + 6*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + 
   5*a^2*z^4 - 14*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 23181] -> 
  2*a^6 + a^8 - 2*a^10 + 7*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 5*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 23182] -> a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23183] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   7*a^4*z^2 - 5*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + 5*a^4*z^4 - 10*a^6*z^4 + 
   a^8*z^4 + 2*a^10*z^4 + a^4*z^6 - 6*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 23184] -> 2 - 4*a^4 + 4*a^6 - a^8 + z^2 + 
   5*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + 6*a^2*z^4 - 23*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23185] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 3*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 3*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - 
   a^4*z^6 + 6*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 23186] -> -2 + 4*a^2 - a^8 - 3*z^2 + 9*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23187] -> -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + 
   20*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 28*a^2*z^4 - 6*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 23188] -> 
  -4/a^8 + 6/a^6 - a^(-4) + z^2/a^10 - (9*z^2)/a^8 + (18*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^8 + (24*z^4)/a^6 - (7*z^4)/a^4 - 
   (6*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 23189] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 3*a^2*z^2 - a^4*z^2 + 2*a^10*z^2 + 
   a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 23190] -> a^(-2) + a^2 - 4*a^4 + 4*a^6 - a^8 + 
   z^2 - a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23191] -> -a^2 + 3*a^4 - a^10 - 2*a^2*z^2 + 
   7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23192] -> 
  2 - a^(-2) - a^2 + 2*a^4 - a^8 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 23193] -> 1 - a^(-2) + 2*a^2 - a^6 + 
   3*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - a^6*z^2 + 6*z^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 23194] -> 
  -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23195] -> 2*a^2 - a^4 + z^2/a^2 - a^2*z^2 + 
   a^6*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23196] -> 3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 23197] -> 
  4*a^4 - 4*a^6 + a^8 + a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + a^10*z^2 + 
   a^2*z^4 - 2*a^4*z^4 - 3*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 23198] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - a^2*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23199] -> -1 + a^(-4) + a^2 - a^4 + a^6 + z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23200] -> a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - 4*a^2*z^4 + 
   4*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 23201] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23202] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23203] -> -1 + a^(-2) + a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23204] -> 
  2 + 2/a^6 - 3/a^4 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 23205] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 23206] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 15*a^2*z^4 - 8*a^4*z^4 - 
   4*z^6 + 14*a^2*z^6 - 4*a^4*z^6 - z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 23207] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   z^2/a^16 - (9*z^2)/a^14 - (8*z^2)/a^12 + (28*z^2)/a^10 + z^2/a^8 - 
   (6*z^4)/a^14 + (38*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 23208] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23209] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + a^4*z^2 + 
   6*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 + a^4*z^4 + 4*a^6*z^4 + 
   a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 23210] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (6*z^2)/a^12 + (13*z^2)/a^10 + (9*z^2)/a^8 - 
   z^4/a^14 + z^4/a^12 + (14*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 23211] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - z^4/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23212] -> 4*a^6 - 3*a^8 + 2*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 + a^12*z^2 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   a^10*z^4, Knot[14, NonAlternating, 23213] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 + 3*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 
   4*a^10*z^2 + a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 4*a^8*z^4 + a^10*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 23214] -> 
  -3 - 2/a^6 + 6/a^2 - 12*z^2 - (3*z^2)/a^6 - (4*z^2)/a^4 + (25*z^2)/a^2 - 
   13*z^4 - z^4/a^6 - (8*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 - (5*z^6)/a^4 + 
   (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23215] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - z^2 - 
   z^2/a^6 - (4*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23216] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 + (5*z^2)/a^12 - (13*z^2)/a^10 + (5*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^4)/a^12 - (11*z^4)/a^10 + (8*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 23217] -> -2 + a^(-2) + 3*a^2 - a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 5*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23218] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 23219] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 6*z^2 + 8*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - z^4 - 
   z^4/a^2 + 8*a^2*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 23220] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 23221] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (3*z^4)/a^8 - z^4/a^6, 
 Knot[14, NonAlternating, 23222] -> a^(-4) - a^(-2) + a^2 + 2*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23223] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (10*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 23224] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 23225] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (8*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 23226] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23227] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - z^2/a^4 + 2*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 23228] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   4*z^4 - z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 23229] -> 
  1 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23230] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^8 + 
   (6*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 23231] -> a^(-6) - a^(-4) + a^2 - 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 23232] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + 
   a^(-2) - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^8 - z^4/a^4, Knot[14, NonAlternating, 23233] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4/a^2 - a^2*z^4, 
 Knot[14, NonAlternating, 23234] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 - z^6/a^2, Knot[14, NonAlternating, 23235] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 7*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 23236] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 4*a^6*z^2 - a^10*z^2 + 3*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 23237] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (5*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23238] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 7*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 23239] -> -1 + 4*a^2 - 2*a^4 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 23240] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - (7*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 23241] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 - a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - z^4 - 
   a^2*z^4 + a^4*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 23242] -> 2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 23243] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) + (3*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 23244] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 
   4*z^2 - 18*a^4*z^2 + 10*a^6*z^2 + z^4 + 6*a^2*z^4 - 33*a^4*z^4 + 
   12*a^6*z^4 + 5*a^2*z^6 - 24*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 8*a^4*z^8 + 
   a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 23245] -> 
  a^(-10) + 2/a^8 - 9/a^6 + 7/a^4 + (6*z^2)/a^10 - (25*z^2)/a^6 + 
   (17*z^2)/a^4 + (5*z^4)/a^10 - (6*z^4)/a^8 - (28*z^4)/a^6 + (11*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (13*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^8 - 
   (2*z^8)/a^6, Knot[14, NonAlternating, 23246] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + z^2 + z^2/a^2 - 4*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 + 2*z^4 - 6*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 23247] -> a^(-10) + a^(-8) - 5/a^6 + 2/a^4 + 
   2/a^2 + (3*z^2)/a^10 + z^2/a^8 - (12*z^2)/a^6 + (5*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (11*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 23248] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 + z^2/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 
   2*z^4 - 7*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 23249] -> 
  a^(-10) - a^(-6) - 3/a^4 + 4/a^2 + (2*z^2)/a^10 + z^2/a^8 - (7*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 23250] -> a^(-4) - 2*a^4 + 2*a^6 - 3*z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 23251] -> 
  2 + a^(-10) - 2/a^6 + a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2, Knot[14, NonAlternating, 23252] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 
   2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 23253] -> 
  a^(-10) - a^(-6) - 3/a^4 + 4/a^2 + z^2 + z^2/a^10 + z^2/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 23254] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 6*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 23255] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 - 
   z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 23256] -> 
  2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 + 
   9*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 + 8*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23257] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23258] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (5*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 23259] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 23260] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 23261] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23262] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 23263] -> 
  2*a^6 + a^8 - 2*a^10 + a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + 
   a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - 2*a^10*z^4 + a^12*z^4 - a^8*z^6 - 
   a^10*z^6, Knot[14, NonAlternating, 23264] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23265] -> 3*a^6 - a^8 - a^10 + 3*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - a^10*z^2 + a^12*z^2 + a^4*z^4 + a^6*z^4 - a^8*z^4 - 
   a^10*z^4, Knot[14, NonAlternating, 23266] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23267] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 23268] -> 2/a^10 - 7/a^8 + 6/a^6 + (7*z^2)/a^10 - 
   (20*z^2)/a^8 + (17*z^2)/a^6 + (7*z^4)/a^10 - (22*z^4)/a^8 + (13*z^4)/a^6 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23269] -> 3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 23270] -> 
  -a^(-4) + 2/a^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 23271] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 23272] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23273] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 23274] -> a^(-10) - 5/a^8 + 5/a^6 - 
   z^2/a^12 + (4*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23275] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 - 
   (3*z^2)/a^14 - (11*z^2)/a^12 + (21*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^14 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 + (13*z^4)/a^8 + (9*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 23276] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - (7*z^4)/a^8 + (13*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 23277] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 23278] -> 
  -1 + a^(-2) + a^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 - 3*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23279] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 - 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 23280] -> -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 23281] -> 
  a^2 + a^4 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 3*a^4*z^2 - 2*a^8*z^2 - z^4 + 
   2*a^2*z^4 + 3*a^4*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 23282] -> 3*a^8 + a^10 - 4*a^12 + a^14 + 
   4*a^6*z^2 + 9*a^8*z^2 + 2*a^10*z^2 - 4*a^12*z^2 + 5*a^6*z^4 + 7*a^8*z^4 + 
   2*a^10*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 23283] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 6*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 + z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 23284] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 23285] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 23286] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (4*z^4)/a^12 - (10*z^4)/a^10 + (2*z^4)/a^8 + 
   (8*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 23287] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 23288] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + 
   z^2/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 23289] -> -a^(-8) + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - 
   z^4/a^6, Knot[14, NonAlternating, 23290] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 23291] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + a^4*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 23292] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 23293] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 2*a^4*z^2 - z^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 23294] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + a^6*z^2 - 2*z^4 + z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 23295] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (18*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (18*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 23296] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 23297] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 23298] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - z^2/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   2*z^4 - z^4/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 23299] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - 3*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - z^4 + 
   2*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 23300] -> 2 - 2*a^2 + 2*a^6 - a^8 - 
   a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 23301] -> 
  4*a^6 - 3*a^8 + 2*z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 
   6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 23302] -> -a^(-12) + 2/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23303] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 23304] -> a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - a^2*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 23305] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   (3*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 23306] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (7*z^4)/a^10 - (10*z^4)/a^8 + 
   (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 23307] -> a^2 + a^4 - a^6 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 + 4*z^4 - (3*z^4)/a^2 - a^4*z^4 + 2*z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 23308] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + 2*z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 + z^4 - z^4/a^6 - (5*z^4)/a^2 - 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 23309] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   2*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 - a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 23310] -> 4*a^6 - 3*a^8 + 2*z^2 - 4*a^2*z^2 + 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 - 6*a^2*z^4 + 6*a^4*z^4 - 
   2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 23311] -> a^4 + 2*a^6 - 2*a^8 - z^2 + z^2/a^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 23312] -> a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (18*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23313] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + 
   (15*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 23314] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 23315] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 6*a^2*z^4 + 
   4*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 23316] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 23317] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 23318] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 23319] -> 3*a^4 - 2*a^6 - a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 23320] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 23321] -> 3 - 3*a^2 + a^6 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23322] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 + 
   (6*z^2)/a^6 - (20*z^2)/a^4 + (21*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23323] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (17*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (19*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 23324] -> 
  -1 + 4*a^2 - 2*a^4 - 12*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   23*z^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 23325] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^6 - (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23326] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 23327] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + (3*z^2)/a^2 - a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 23328] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23329] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 2*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23330] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 23331] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 23332] -> 
  2 - 2*a^2 + a^4 + 2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 10*a^2*z^4 - 
   11*a^4*z^4 + 2*a^6*z^4 - 4*z^6 + 12*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 23333] -> 
  3 - a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 23334] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 
   6*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23335] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 23336] -> a^2 + a^6 - a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 8*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 
   5*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 23337] -> 
  2*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 23338] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - 
   a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 23339] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 
   2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 23340] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   6*z^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 23341] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   3*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23342] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - a^2*z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 23343] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 23344] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 23345] -> 
  -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 2*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 23346] -> 4 - 3/a^4 + 3/a^2 - 3*a^2 + 12*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 13*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 23347] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 - 5*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 23348] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6/a^2, 
 Knot[14, NonAlternating, 23349] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 23350] -> a^(-12) - 6/a^8 + 6/a^6 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 23351] -> -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + 
   15*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + 24*a^2*z^4 - 5*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 23352] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - z^2/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 - 
   (3*z^2)/a^4 - (7*z^4)/a^8 + (23*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^8 + 
   (18*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 23353] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 + z^2/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 23354] -> 2 - a^(-2) + a^4 - a^6 + 4*z^2 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23355] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 23356] -> 
  4 - 2/a^2 - a^4 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 23357] -> 2*a^2 - a^4 - 8*z^2 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 12*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23358] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 5*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 23359] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   6*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 4*a^6*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 23360] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 23361] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8, Knot[14, NonAlternating, 23362] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 23363] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 9*z^2 - z^2/a^6 + z^2/a^2 - 4*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^4 - z^6/a^2, Knot[14, NonAlternating, 23364] -> 
  -2 + 5*a^2 - a^4 - a^6 - 4*z^2 - z^2/a^2 + 12*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - z^4 - z^4/a^2 + 11*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + z^6 + 
   4*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 23365] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 23366] -> -3/a^8 + 6/a^6 - 4/a^4 + 
   2/a^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 23367] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23368] -> 
  -a^(-4) + 2/a^2 - 5*z^2 + z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 23369] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 - z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 
   8*z^4 - (7*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - 
   z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23370] -> 
  -1 - a^(-6) + 3/a^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 23371] -> 
  2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + (3*z^2)/a^12 - (6*z^2)/a^10 - 
   (6*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 23372] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + 
   13*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 9*z^4 + 24*a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 23373] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (14*z^2)/a^2 - 9*z^4 - z^4/a^6 - (4*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23374] -> a^(-12) - 5/a^8 + 4/a^6 + a^(-4) + 
   z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^10 - 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4, Knot[14, NonAlternating, 23375] -> 
  -1 + 3*a^2 - a^6 + 2*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 23376] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23377] -> a^(-12) + a^(-10) - 8/a^8 + 7/a^6 + 
   (2*z^2)/a^12 - (15*z^2)/a^8 + (15*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^10 - (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 23378] -> -2 + 6*a^2 - 3*a^4 - 7*z^2 + 17*a^2*z^2 - 
   7*a^4*z^2 - 9*z^4 + 25*a^2*z^4 - 9*a^4*z^4 - 5*z^6 + 19*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 23379] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 10*z^2 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (22*z^2)/a^2 - 10*z^4 - z^4/a^6 - 
   (5*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23380] -> 
  a^(-12) - a^(-10) - a^(-8) - a^(-6) + 3/a^4 + z^2/a^12 - (2*z^2)/a^10 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - z^4/a^10 - (4*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^6, Knot[14, NonAlternating, 23381] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 6*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 23382] -> 
  -1 - 4/a^6 + 6/a^4 - 2*z^2 - (5*z^2)/a^6 + (12*z^2)/a^4 + z^2/a^2 - 3*z^4 - 
   (4*z^4)/a^6 + (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23383] -> 
  7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 15*z^2 - (3*z^2)/a^4 - z^2/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 11*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 23384] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + 
   z^2/a^4 + (7*z^2)/a^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 23385] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^10 - (4*z^2)/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23386] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 23387] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 23388] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 23389] -> 
  1 + 2/a^6 - 6/a^4 + 5/a^2 - a^2 + z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 23390] -> 
  -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 14*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 12*z^4 + (5*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 23391] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (6*z^2)/a^10 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 + (6*z^4)/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 + 
   z^6/a^10 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 23392] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 23393] -> 
  -4/a^8 + 5/a^6 + a^(-4) - a^(-2) - (7*z^2)/a^8 + (14*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - (6*z^4)/a^8 + (16*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 23394] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 23395] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + 3*z^4 + (8*z^4)/a^6 - 
   (17*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 23396] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   3*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 23397] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 6*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23398] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   10*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23399] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 6*z^2 + z^2/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 
   9*z^4 - (10*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - 
   z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23400] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 - 5*z^4 - 
   z^4/a^2 + 24*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 23401] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23402] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23403] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 5*z^4 - z^4/a^2 + 23*a^2*z^4 - 
   9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 23404] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 23405] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 23406] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 23407] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23408] -> 
  -4 + 3/a^2 + a^2 + a^4 - 4*z^2 + z^2/a^4 - 3*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 23409] -> 
  1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23410] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 14*z^4 + z^4/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 23411] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23412] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23413] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 23414] -> -a^(-4) + 2/a^2 - 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 23415] -> 
  2*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23416] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 23417] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, Knot[14, NonAlternating, 23418] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23419] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23420] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 + (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 23421] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 2*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 23422] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23423] -> 
  a^(-8) + 2/a^6 - 8/a^4 + 6/a^2 + (3*z^2)/a^8 + (6*z^2)/a^6 - (27*z^2)/a^4 + 
   (14*z^2)/a^2 + z^4/a^8 + (8*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + 
   (5*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 23424] -> 
  2 + a^(-8) + a^(-6) - 4/a^4 + a^(-2) + 4*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 23425] -> 4 + a^(-8) - 4/a^2 + 6*z^2 + 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - (11*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 23426] -> 
  6/a^6 - 13/a^4 + 8/a^2 + (15*z^2)/a^6 - (36*z^2)/a^4 + (16*z^2)/a^2 + 
   (14*z^4)/a^6 - (43*z^4)/a^4 + (14*z^4)/a^2 + (6*z^6)/a^6 - (26*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 23427] -> a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 
   5/a^6 + z^2/a^14 - (9*z^2)/a^12 + (21*z^2)/a^10 - (21*z^2)/a^8 + 
   (15*z^2)/a^6 - (4*z^4)/a^12 + (22*z^4)/a^10 - (29*z^4)/a^8 + 
   (16*z^4)/a^6 + (9*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 23428] -> 
  -1 + a^(-8) - a^(-4) + 2*a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 23429] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23430] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 23431] -> 
  3*a^6 - 4*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + 11*a^6*z^2 - 13*a^8*z^2 + 
   21*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 15*a^6*z^4 - 23*a^8*z^4 + 
   23*a^10*z^4 - 4*a^12*z^4 + 7*a^6*z^6 - 21*a^8*z^6 + 9*a^10*z^6 + a^6*z^8 - 
   8*a^8*z^8 + a^10*z^8 - a^8*z^10, Knot[14, NonAlternating, 23432] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23433] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^8 + (4*z^2)/a^4 - z^4 - z^4/a^8 + (3*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 23434] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (9*z^4)/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 23435] -> 2/a^14 - 9/a^12 + 8/a^10 - 
   (15*z^2)/a^12 + (21*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - (6*z^4)/a^12 + 
   (22*z^4)/a^10 + (13*z^4)/a^8 + (9*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 23436] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   10*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23437] -> a^(-14) - 4/a^12 + 5/a^10 - 
   5/a^8 + 4/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23438] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   (8*z^4)/a^8 + (13*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23439] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 19*z^2 + 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 18*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 8*z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 23440] -> 4/a^14 - 13/a^12 + 10/a^10 + 
   (3*z^2)/a^14 - (29*z^2)/a^12 + (36*z^2)/a^10 + z^2/a^8 - (18*z^4)/a^12 + 
   (43*z^4)/a^10 + (6*z^4)/a^8 - (3*z^6)/a^12 + (20*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 23441] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - z^2/a^12 + (14*z^2)/a^10 - 
   (31*z^2)/a^8 + (21*z^2)/a^6 + (10*z^4)/a^10 - (30*z^4)/a^8 + 
   (15*z^4)/a^6 + (2*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23442] -> -2/a^12 + 7/a^10 - 11/a^8 + 7/a^6 - 
   (2*z^2)/a^12 + (16*z^2)/a^10 - (29*z^2)/a^8 + (20*z^2)/a^6 + 
   (11*z^4)/a^10 - (29*z^4)/a^8 + (15*z^4)/a^6 + (2*z^6)/a^10 - 
   (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23443] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 
   (6*z^2)/a^8 + (24*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 23444] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 
   (5*z^2)/a^8 + (22*z^2)/a^6 - (29*z^2)/a^4 + (11*z^2)/a^2 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 23445] -> a^(-10) - 3/a^8 + 7/a^6 - 10/a^4 + 
   6/a^2 + z^2/a^10 - (7*z^2)/a^8 + (20*z^2)/a^6 - (28*z^2)/a^4 + 
   (11*z^2)/a^2 - (5*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 23446] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   22*z^2 + z^2/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 23447] -> 
  -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 + z^2/a^10 - (7*z^2)/a^8 + (24*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 - (5*z^4)/a^8 + (19*z^4)/a^6 - (25*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 23448] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 
   3*a^2 - 20*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 - (11*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 23449] -> 
  2/a^14 - 6/a^12 + 2/a^10 + 3/a^8 - (10*z^2)/a^12 + (8*z^2)/a^10 + 
   (12*z^2)/a^8 - (3*z^4)/a^12 + (10*z^4)/a^10 + (14*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 23450] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + (6*z^2)/a^10 - (9*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (2*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 23451] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (5*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^4 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 23452] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23453] -> 3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 
   4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23454] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   3*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23455] -> -2 + a^(-6) - 3/a^4 + 5/a^2 - 2*a^2 + 
   2*a^4 - (6*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 23456] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23457] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 23458] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + 
   9*a^4*z^2 - 12*a^6*z^2 + 7*a^8*z^2 - z^4 - a^2*z^4 + 6*a^4*z^4 - 
   8*a^6*z^4 + a^2*z^6 + 3*a^4*z^6, Knot[14, NonAlternating, 23459] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (27*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (32*z^4)/a^4 + (22*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 23460] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   z^2/a^8 + (13*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 + (9*z^4)/a^6 - 
   (25*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 23461] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   7*a^2*z^2 - 20*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 23462] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23463] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 
   2*a^6 - 8*z^2 + 19*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 22*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 23464] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 
   17*z^2 + z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 23465] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 10*z^2 + z^2/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 21*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 23466] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   12*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + 
   z^4/a^2 + 20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 23467] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 - z^4/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 
   6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 23468] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23469] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 
   5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 23470] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23471] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   11*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23472] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (12*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (9*z^4)/a^8 + (25*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 23473] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (19*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23474] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23475] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 23476] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^6 - (17*z^4)/a^4 + (15*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23477] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (9*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 23478] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 10*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 23479] -> -4 - 5/a^4 + 10/a^2 - 12*z^2 - 
   (12*z^2)/a^4 + (29*z^2)/a^2 - 9*z^4 - (9*z^4)/a^4 + (30*z^4)/a^2 - 2*z^6 - 
   (2*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 23480] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 17*z^2 + 
   (4*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23481] -> -4 + 10*a^2 - 5*a^4 - 15*z^2 + 
   (3*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23482] -> 1 + a^2 - 6*a^4 + 9*a^6 - 4*a^8 + z^2 + 
   7*a^2*z^2 - 22*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 + 7*a^2*z^4 - 26*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23483] -> -2/a^12 + 5/a^10 - 3/a^8 - 3/a^6 + 
   4/a^4 - z^2/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 - (8*z^2)/a^6 + 
   (10*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 23484] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 + (7*z^2)/a^2 + 19*a^2*z^2 - 
   5*a^4*z^2 - 21*z^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23485] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - z^4 + 11*a^2*z^4 - 
   23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 23486] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 11*a^2*z^2 - 21*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 - z^4 + 10*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23487] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 23488] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 
   2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23489] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23490] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 4*z^2 - 
   6*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23491] -> -a^(-12) + 2/a^10 - 3/a^6 + 2/a^4 + 
   a^(-2) + (4*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4, 
 Knot[14, NonAlternating, 23492] -> a^(-4) - a^(-2) + a^2 - z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23493] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23494] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   4*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - 5*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23495] -> 3/a^14 - 11/a^12 + 9/a^10 + 
   (2*z^2)/a^14 - (25*z^2)/a^12 + (33*z^2)/a^10 + (2*z^2)/a^8 - 
   (16*z^4)/a^12 + (40*z^4)/a^10 + (7*z^4)/a^8 - (3*z^6)/a^12 + 
   (19*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 23496] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 
   z^2/a^8 + (16*z^2)/a^6 - (28*z^2)/a^4 + (13*z^2)/a^2 + (10*z^4)/a^6 - 
   (30*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - (13*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 23497] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (12*z^2)/a^10 - 
   (26*z^2)/a^8 + (19*z^2)/a^6 + (9*z^4)/a^10 - (26*z^4)/a^8 + (14*z^4)/a^6 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23498] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 23*z^2 - 
   (6*z^2)/a^4 + (22*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23499] -> a^(-10) - 2/a^8 + 5/a^6 - 
   9/a^4 + 6/a^2 + z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (26*z^2)/a^4 + 
   (11*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 23500] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   12*z^2 + z^2/a^2 + 25*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + 
   26*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 2*z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 23501] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - z^2/a^12 + (13*z^2)/a^10 - 
   (25*z^2)/a^8 + (19*z^2)/a^6 + (9*z^4)/a^10 - (26*z^4)/a^8 + (14*z^4)/a^6 + 
   (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23502] -> -7 + 2/a^6 - 4/a^4 + 6/a^2 + 4*a^2 - 
   24*z^2 + z^2/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - 
   (5*z^4)/a^4 + (17*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 23503] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (4*z^2)/a^8 + (20*z^2)/a^6 - 
   (24*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^8 + (16*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 23504] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 
   2*a^6 - 13*z^2 + z^2/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + 
   26*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 2*z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 23505] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 20*z^2 - (10*z^2)/a^4 + 
   (24*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^6 - (7*z^4)/a^4 + (27*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 23506] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - 
   (11*z^2)/a^12 + (12*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^12 + 
   (12*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 23507] -> -a^(-10) + 2/a^8 + 2/a^6 - 
   7/a^4 + 5/a^2 + (6*z^2)/a^8 - (2*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4, Knot[14, NonAlternating, 23508] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (6*z^2)/a^10 - (11*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 23509] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 12*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 23510] -> 
  2 + a^(-10) - 2/a^8 + 4/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23511] -> 4*a^2 - 5*a^4 + 2*a^6 + z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 23512] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) + (6*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 23513] -> -6 + a^(-8) - a^(-6) + 3/a^2 + 
   4*a^2 - 13*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 
   7*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 23514] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 23515] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - (4*z^2)/a^2 + 9*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 23516] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 3*z^2 - (7*z^2)/a^4 + (11*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 + (3*z^6)/a^2, Knot[14, NonAlternating, 23517] -> 
  -a^(-16) + 7/a^14 - 16/a^12 + 11/a^10 + (6*z^2)/a^14 - (33*z^2)/a^12 + 
   (36*z^2)/a^10 + (2*z^2)/a^8 - (20*z^4)/a^12 + (42*z^4)/a^10 + 
   (6*z^4)/a^8 - (3*z^6)/a^12 + (20*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 23518] -> 2/a^10 - 10/a^8 + 12/a^6 - 
   3/a^4 + z^2/a^10 - (17*z^2)/a^8 + (32*z^2)/a^6 - (9*z^2)/a^4 - 
   (10*z^4)/a^8 + (31*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 + (13*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 23519] -> 
  -2/a^12 + 9/a^10 - 15/a^8 + 9/a^6 - (2*z^2)/a^12 + (17*z^2)/a^10 - 
   (33*z^2)/a^8 + (21*z^2)/a^6 + (11*z^4)/a^10 - (30*z^4)/a^8 + 
   (15*z^4)/a^6 + (2*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23520] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (22*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23521] -> 
  a^(-10) - 3/a^8 + 9/a^6 - 14/a^4 + 8/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (21*z^2)/a^6 - (32*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^8 + (18*z^4)/a^6 - 
   (27*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 23522] -> 
  -10 + a^(-4) + 2/a^2 + 12*a^2 - 4*a^4 - 27*z^2 + z^2/a^4 + (7*z^2)/a^2 + 
   22*a^2*z^2 - 4*a^4*z^2 - 27*z^4 + (7*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 23523] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23524] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 
   z^4/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 23525] -> a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 
   7/a^6 - (5*z^2)/a^12 + (20*z^2)/a^10 - (29*z^2)/a^8 + (19*z^2)/a^6 + 
   (13*z^4)/a^10 - (28*z^4)/a^8 + (15*z^4)/a^6 + (2*z^6)/a^10 - 
   (13*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23526] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   4*z^2 - z^2/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23527] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 23528] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + 5*a^2*z^2 - 14*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + a^2*z^4 - 8*a^4*z^4 + 9*a^6*z^4 - 
   3*a^8*z^4 - a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 23529] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (26*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 - (5*z^4)/a^8 + (20*z^4)/a^6 - 
   (25*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 23530] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 23*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - z^4/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 23531] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 23532] -> 5*a^6 - 8*a^8 + 8*a^10 - 5*a^12 + a^14 + 
   2*a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 15*a^10*z^2 - 5*a^12*z^2 + 
   2*a^4*z^4 + 4*a^6*z^4 - 11*a^8*z^4 + 8*a^10*z^4 - a^6*z^6 - 4*a^8*z^6, 
 Knot[14, NonAlternating, 23533] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   22*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (11*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 23534] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^8 - (8*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23535] -> a^(-14) - 3/a^12 - a^(-10) + 4/a^8 - 
   (7*z^2)/a^12 + (4*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - (3*z^4)/a^12 + 
   (8*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 23536] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 23537] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 23538] -> -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 
   4/a^4 + (5*z^2)/a^10 - (6*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 23539] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 23540] -> 
  3 + a^(-6) - 2/a^2 - 3*a^2 + 2*a^4 + 6*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + z^6 - 
   z^6/a^2, Knot[14, NonAlternating, 23541] -> 4 + a^(-10) - 2/a^8 + 3/a^6 - 
   a^(-4) - 4/a^2 + 4*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6/a^6 - z^6/a^2, Knot[14, NonAlternating, 23542] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 23543] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 + 3*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^2, Knot[14, NonAlternating, 23544] -> 
  -3 + a^(-8) - 2/a^6 + 3/a^4 - a^(-2) + 3*a^2 - 7*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (2*z^4)/a^4, 
 Knot[14, NonAlternating, 23545] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 23546] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23547] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 23548] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   3*z^2 - (4*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 3*z^4 + 3*a^2*z^4, 
 Knot[14, NonAlternating, 23549] -> a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 23550] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 + z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   4*a^6*z^2 - z^4 - 4*a^2*z^4 - 3*a^4*z^4, 
 Knot[14, NonAlternating, 23551] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 23552] -> 
  2 + a^(-8) - 2/a^4 + 3*z^2 + z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 23553] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 23554] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (6*z^4)/a^6 + (4*z^4)/a^4 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 23555] -> -2/a^10 + a^(-8) + 2/a^6 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 + z^4/a^10 + (7*z^4)/a^6 + 
   z^6/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 23556] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 + z^2/a^16 - (8*z^2)/a^14 - (2*z^2)/a^12 + (14*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^4)/a^14 + (3*z^4)/a^12 + (26*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 23557] -> 
  a^4 + a^8 - a^12 + 3*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + 3*a^4*z^4 - a^6*z^4 - a^8*z^4 + 3*a^10*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 + a^10*z^6 - a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 23558] -> a^2 + a^8 - a^10 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 + 2*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 - 2*a^4*z^6 - 2*a^6*z^6, Knot[14, NonAlternating, 23559] -> 
  a^(-2) - a^2 + a^4 + z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23560] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - z^4/a^2 + z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23561] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 23562] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + (4*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   z^4 + z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 23563] -> 
  1 + a^(-6) - 2/a^2 + a^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23564] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23565] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 - 
   (11*z^2)/a^4 + (25*z^2)/a^2 - a^2*z^2 - 6*z^4 - (9*z^4)/a^4 + 
   (28*z^4)/a^2 - a^2*z^4 - z^6 - (2*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 23566] -> -3 + 8*a^2 - 4*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 - 15*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23567] -> 1 - 4*a^4 + 8*a^6 - 4*a^8 + z^2 + 
   5*a^2*z^2 - 17*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 + 6*a^2*z^4 - 22*a^4*z^4 + 
   13*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23568] -> -2/a^12 + 5/a^10 - 4/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (10*z^2)/a^10 - (9*z^2)/a^8 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 23569] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 + z^4/a^4 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23570] -> -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 + 
   (6*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23571] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - z^4 + 9*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 23572] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 + 
   z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23573] -> a^(-2) - a^4 + a^6 + z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 23574] -> 
  -1 - a^(-6) + 3/a^2 - 5*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 23575] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 23576] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23577] -> -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 + 
   (4*z^2)/a^10 - z^2/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 23578] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 23579] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^2, 
 Knot[14, NonAlternating, 23580] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 
   2*a^4*z^6, Knot[14, NonAlternating, 23581] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 - 3*a^2*z^2 - a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 23582] -> 
  -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (10*z^2)/a^4 - (4*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 23583] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 23584] -> 
  -1 + a^(-4) - 2*a^2 + 5*a^4 - 2*a^6 - 6*z^2 + (3*z^2)/a^2 - 6*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 23585] -> 
  3 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^4 - 4/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + (2*z^6)/a^4, Knot[14, NonAlternating, 23586] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 23587] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 9*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 23588] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 23589] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 6*z^2 - z^2/a^2 - 10*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 7*a^2*z^4 + 4*a^4*z^4 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 23590] -> -4 + 3/a^2 + a^2 + a^4 - 11*z^2 + 
   (7*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 12*z^4 + (5*z^4)/a^2 - 11*a^2*z^4 + 
   5*a^4*z^4 - 6*z^6 + z^6/a^2 - 6*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 23591] -> a^(-4) - 2*a^2 + 2*a^4 - 5*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 23592] -> -7 + 4/a^2 + 5*a^2 - 2*a^4 + a^6 - 
   18*z^2 + (8*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 17*z^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 7*z^6 + z^6/a^2 - 
   a^4*z^6 - z^8, Knot[14, NonAlternating, 23593] -> 
  4 + 2/a^4 - 3/a^2 - 5*a^2 + 3*a^4 + 7*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   13*a^2*z^2 + 5*a^4*z^2 + 7*z^4 + z^4/a^4 - (7*z^4)/a^2 - 11*a^2*z^4 + 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23594] -> 1 + a^(-6) - a^(-4) + a^(-2) - 4*a^2 + 
   3*a^4 + z^2/a^6 - (3*z^2)/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 23595] -> a^2 - a^4 + 3*a^6 - 2*a^8 - a^2*z^2 + 
   2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 23596] -> 1 - 2*a^2 + 3*a^4 - a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23597] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 11*z^2 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   7*a^2*z^2 + 17*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + 10*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 23598] -> 2 - a^(-6) + a^(-4) - a^2 + 6*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 6*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 23599] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 
   (6*z^4)/a^8 + (18*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (11*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 23600] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (22*z^4)/a^2 + a^2*z^4 - 6*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23601] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 3/a^6 + 4/a^4 + (4*z^2)/a^10 - (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23602] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   4*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23603] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   2*z^2 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 + z^4 + 
   (4*z^4)/a^4 - (10*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23604] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (4*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (14*z^4)/a^6 - (4*z^4)/a^4 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 23605] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (7*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 23606] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 23607] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 - z^2/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 - z^4 - z^4/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 23608] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23609] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23610] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 + z^2/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 10*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23611] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (5*z^4)/a^6 - 
   (15*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23612] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (22*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 + 
   (10*z^4)/a^10 - (21*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23613] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (15*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 23614] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 18*z^2 - (7*z^2)/a^4 + (21*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 - z^4/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (8*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23615] -> 
  3 + 2/a^4 - 4/a^2 + 8*z^2 + z^2/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 23616] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 23617] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   9*z^2 - (6*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 23618] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   2*z^2 + a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + 3*z^4 - 
   2*a^2*z^4 - 14*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23619] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23620] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 14*z^2 + (6*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + z^4/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   7*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 23621] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 10*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + 3*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 23622] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 
   5*a^10*z^2 - 2*a^2*z^4 + 11*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 8*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 23623] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 10*z^2 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23624] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 
   7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 
   a^6*z^4 + a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23625] -> 1 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 3*z^4 - 7*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 23626] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23627] -> -2/a^6 + 3/a^4 - z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23628] -> -1 + a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 23629] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 23630] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^2 - (2*z^4)/a^8 - z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 23631] -> 
  1 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23632] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - 
   (7*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 - (9*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23633] -> 3/a^10 - 9/a^8 + 7/a^6 + (7*z^2)/a^10 - 
   (21*z^2)/a^8 + (17*z^2)/a^6 + (7*z^4)/a^10 - (22*z^4)/a^8 + (13*z^4)/a^6 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 23634] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - 
   4*a^4*z^2 + 23*a^6*z^2 - 20*a^8*z^2 + 6*a^10*z^2 - 10*a^4*z^4 + 
   32*a^6*z^4 - 20*a^8*z^4 + 2*a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 
   8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 23635] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23636] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - z^2 + 
   11*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - z^4 + 9*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 23637] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23638] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 23639] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 - z^2 - 2*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - z^4 + 3*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23640] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23641] -> 
  a^(-8) + a^(-6) - 6/a^4 + 5/a^2 + z^2/a^8 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 + (3*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 23642] -> 
  -3*a^4 + 11*a^6 - 8*a^8 + a^10 - 8*a^4*z^2 + 29*a^6*z^2 - 13*a^8*z^2 - 
   7*a^4*z^4 + 28*a^6*z^4 - 8*a^8*z^4 - 2*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 23643] -> 
  -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 2*z^2 + 12*a^2*z^2 - 18*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - z^4 + 10*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23644] -> a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 
   2/a^6 - (6*z^2)/a^12 + (13*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^4)/a^12 + (18*z^4)/a^10 - (22*z^4)/a^8 + (15*z^4)/a^6 + 
   (8*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 23645] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + 22*a^2*z^2 - 8*a^4*z^2 - 10*z^4 + 
   29*a^2*z^4 - 10*a^4*z^4 - 5*z^6 + 20*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 23646] -> 
  2*a^4 - a^6 + a^8 - a^10 + 8*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 + 6*a^4*z^4 - 
   13*a^6*z^4 + 3*a^8*z^4 + a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 23647] -> 1 + 2/a^4 - 3/a^2 + a^2 + 3*z^2 + 
   (6*z^2)/a^4 - (13*z^2)/a^2 + a^2*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (15*z^4)/a^2 + a^2*z^4 + z^6/a^4 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23648] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + 
   (8*z^2)/a^8 - (19*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^8 - 
   (18*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 23649] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 18*z^2 - 
   (5*z^2)/a^4 + z^2/a^2 - 10*a^2*z^2 + 22*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   8*a^2*z^4 + 11*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 23650] -> 2*a^2 - a^4 - 2*z^2 - z^2/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - a^6*z^4 + z^6 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 23651] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 23652] -> 1 - 2/a^4 + 3/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 - 
   z^4/a^6 + z^4/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 23653] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 5*z^2 - (2*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 
   a^6*z^2 + z^4 - (3*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   10*a^2*z^6 - 2*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 23654] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23655] -> 
  -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 23656] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (6*z^2)/a^8 - (12*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + (4*z^4)/a^8 - (14*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 23657] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 6*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   9*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 23658] -> 
  2 + 2/a^8 - 4/a^6 + 3/a^4 - 2/a^2 + 2*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^2 - z^6/a^6, 
 Knot[14, NonAlternating, 23659] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 23660] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^4 + (4*z^2)/a^2 - 2*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 23661] -> a^(-10) - 2/a^8 + 3/a^6 - 
   5/a^4 + 4/a^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23662] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 23663] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 13*z^2 - (3*z^2)/a^4 - 5*a^2*z^2 - a^4*z^2 + 
   10*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 23664] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23665] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 23666] -> 4 - 2/a^4 + 2/a^2 - 4*a^2 + 
   a^4 + 6*z^2 - z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 4*z^4 + 
   z^4/a^4 + (4*z^4)/a^2, Knot[14, NonAlternating, 23667] -> 
  a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 23668] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^6, Knot[14, NonAlternating, 23669] -> 1 - 2*a^2 + 3*a^4 - a^8 + 
   3*z^2 - 9*a^2*z^2 + 10*a^4*z^2 - a^8*z^2 + z^4 - 9*a^2*z^4 + 11*a^4*z^4 - 
   a^6*z^4 - a^8*z^4 - 2*a^2*z^6 + 6*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 23670] -> -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23671] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - z^4 + 7*a^2*z^4 - 
   15*a^4*z^4 + 5*a^6*z^4 + 2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23672] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 23673] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 
   2*a^4 - 26*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 
   32*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 15*a^2*z^4 - a^4*z^4 - 21*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 23674] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 23675] -> 1 - a^(-4) + a^(-2) + a^2 - 
   a^4 + 4*z^2 - z^2/a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 - z^4/a^2 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 23676] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23677] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23678] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + 20*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 
   7*z^4 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 23679] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 23680] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 23681] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - z^4/a^2 + z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23682] -> 1 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 23683] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23684] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 23685] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^2 + a^2*z^4 + 3*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 23686] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 23687] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 23688] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   8*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 23689] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 23690] -> 4*a^6 - 2*a^8 - 2*a^10 + 
   a^12 + 10*a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 + 7*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 + a^6*z^6 - a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 23691] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 3*z^4 + 7*a^2*z^4 - 
   3*a^4*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 23692] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 23693] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 6*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23694] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 + 
   5*a^2*z^2 - 7*a^4*z^2 + 3*a^8*z^2 + 2*a^2*z^4 - 7*a^4*z^4 - 2*a^6*z^4 + 
   a^8*z^4 - 2*a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 23695] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   14*a^2*z^4 - 8*a^4*z^4 - 4*z^6 + 14*a^2*z^6 - 4*a^4*z^6 - z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 23696] -> 
  a^2 + a^4 - a^6 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^2*z^4 - 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23697] -> a^2 + a^4 - a^6 + z^2 - a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - 4*a^2*z^4 + 4*a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 23698] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 23699] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + (7*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   7*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 23700] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 
   2*z^4 + z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23701] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (5*z^2)/a^12 + (9*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 + (5*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - 
   z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 23702] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 23703] -> -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 23704] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 6*a^2*z^2 + 15*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 
   7*a^2*z^4 + 18*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 10*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 23705] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 5*a^4*z^4 + 2*a^6*z^4 + 
   z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 23706] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - 
   4*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + 8*a^4*z^4 - 
   a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 23707] -> -3 + 7*a^2 - 2*a^4 - a^6 - 4*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 + 
   z^6 + 3*a^2*z^6, Knot[14, NonAlternating, 23708] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 7*z^2 - z^2/a^6 - z^2/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 + 
   5*a^2*z^4 - 3*z^6 - z^6/a^2, Knot[14, NonAlternating, 23709] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 - a^2*z^2 - 2*a^4*z^2 + 18*a^6*z^2 - 
   9*a^8*z^2 - 2*a^2*z^4 + 18*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 23710] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 
   7*z^2 - z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23711] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 7*a^2*z^2 + 17*a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 - 7*a^2*z^4 + 19*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 
   10*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 23712] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + z^4 + 2*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 23713] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 - 
   2*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - z^4 + 9*a^4*z^4 - a^8*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23714] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (9*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (3*z^6)/a^8, Knot[14, NonAlternating, 23715] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 9*z^4 + (5*z^4)/a^2 + a^4*z^4 - 3*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 23716] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 23717] -> 1 + 6*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23718] -> -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 23719] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 23720] -> 4*a^8 - 2*a^10 - a^12 + 20*a^8*z^2 - 
   9*a^10*z^2 + 27*a^8*z^4 - 18*a^10*z^4 + 6*a^12*z^4 + 13*a^8*z^6 - 
   17*a^10*z^6 + 5*a^12*z^6 + 2*a^8*z^8 - 7*a^10*z^8 + a^12*z^8 - a^10*z^10, 
 Knot[14, NonAlternating, 23721] -> 4 - 6*a^2 + 3*a^4 + 14*z^2 - 31*a^2*z^2 + 
   14*a^4*z^2 + 16*z^4 - 46*a^2*z^4 + 16*a^4*z^4 + 7*z^6 - 30*a^2*z^6 + 
   7*a^4*z^6 + z^8 - 9*a^2*z^8 + a^4*z^8 - a^2*z^10, 
 Knot[14, NonAlternating, 23722] -> 4/a^8 - 10/a^6 + 7/a^4 + (16*z^2)/a^8 - 
   (37*z^2)/a^6 + (20*z^2)/a^4 + (17*z^4)/a^8 - (50*z^4)/a^6 + (18*z^4)/a^4 + 
   (7*z^6)/a^8 - (31*z^6)/a^6 + (7*z^6)/a^4 + z^8/a^8 - (9*z^8)/a^6 + 
   z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 23723] -> 
  a^6 + 2*a^8 - a^10 - a^12 + 6*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 + 
   7*a^6*z^4 + 4*a^8*z^4 - 6*a^10*z^4 + 3*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 - 
   4*a^10*z^6 + a^12*z^6 - a^8*z^8 - a^10*z^8, 
 Knot[14, NonAlternating, 23724] -> 2 + a^(-2) - 5*a^2 + 3*a^4 - 2*z^2 + 
   (4*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 - 13*a^2*z^4 + 
   5*a^4*z^4 - 5*z^6 + z^6/a^2 - 6*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 23725] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + 
   (8*z^2)/a^8 - (14*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + (5*z^4)/a^8 - 
   (14*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 23726] -> 2*a^6 - a^12 + 9*a^6*z^2 + 8*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 + 2*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 - 3*a^10*z^6 + 
   a^12*z^6 - a^8*z^8 - a^10*z^8, Knot[14, NonAlternating, 23727] -> 
  2/a^2 - 4*a^2 + 3*a^4 - 6*z^2 + (5*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 23728] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + (5*z^2)/a^8 - (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 + (4*z^4)/a^8 - (8*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 23729] -> 2*a^6 - a^12 + a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + a^12*z^2 + a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - 2*a^8*z^6 - a^10*z^6, Knot[14, NonAlternating, 23730] -> 
  2/a^2 - 4*a^2 + 3*a^4 - 4*z^2 + z^2/a^4 + z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 23731] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 23732] -> 
  a^4 + a^8 - a^12 + 4*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + a^12*z^2 + 
   2*a^4*z^4 - a^6*z^4 - 2*a^10*z^4 + a^12*z^4 - a^6*z^6 - a^8*z^6 - 
   a^10*z^6, Knot[14, NonAlternating, 23733] -> 
  1 + a^(-4) - 4*a^2 + 3*a^4 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 23734] -> 
  2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23735] -> a^(-10) - 2/a^8 + 5/a^6 - 9/a^4 + 6/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 23736] -> 
  -4 + 3/a^6 - 7/a^4 + 7/a^2 + 2*a^2 - 9*z^2 + (6*z^2)/a^6 - (18*z^2)/a^4 + 
   (15*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (12*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 23737] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (12*z^2)/a^10 - (24*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 + 
   (9*z^4)/a^10 - (23*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23738] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 13*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 + (5*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 - 
   7*z^6 + z^6/a^2 - z^8, Knot[14, NonAlternating, 23739] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 6*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 + 5*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + a^2*z^6 - 7*a^4*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23740] -> a^(-10) - 3/a^6 + a^(-4) + 2/a^2 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23741] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - z^4 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 23742] -> 
  a^(-10) - a^(-8) + a^(-6) - 4/a^4 + 4/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 23743] -> 
  a^(-10) - a^(-8) + a^(-6) - 4/a^4 + 4/a^2 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 23744] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 5*z^2 + (3*z^2)/a^6 + z^2/a^4 - 
   (10*z^2)/a^2 + 4*z^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 23745] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 23746] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 12*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (19*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (16*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 23747] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23748] -> -7 + 4/a^2 + 4*a^2 - 17*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 23749] -> -a^2 + 4*a^4 - 3*a^6 + 3*a^8 - 2*a^10 - 
   2*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + a^8*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 23750] -> 2 + a^(-10) - a^(-8) - a^(-2) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 23751] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 23752] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   5*z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 23753] -> a^(-10) - 7/a^8 + 9/a^6 - 
   2/a^4 + z^2/a^10 - (15*z^2)/a^8 + (29*z^2)/a^6 - (8*z^2)/a^4 - 
   (10*z^4)/a^8 + (30*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 + (13*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 23754] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (23*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23755] -> -a^(-12) + 4/a^10 - 4/a^8 - 2/a^6 + 
   4/a^4 - z^2/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 - (7*z^2)/a^6 + 
   (9*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 23756] -> 
  -1 + 3/a^6 - 8/a^4 + 7/a^2 - 4*z^2 + (8*z^2)/a^6 - (23*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 + (5*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23757] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 23758] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 
   8/a^2 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (22*z^2)/a^2 - 
   5*z^4 + (5*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23759] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 21*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + (9*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 23760] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 23761] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 23762] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 23763] -> 
  -a^(-12) + 3/a^10 - a^(-8) - 4/a^6 + 3/a^4 + a^(-2) + (4*z^2)/a^10 - 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 23764] -> 
  4 + 2/a^6 - 3/a^4 - a^(-2) - a^2 + 6*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 23765] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 23766] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4, Knot[14, NonAlternating, 23767] -> -1 + a^(-4) - a^(-2) + 2*a^2 + 
   a^4 - a^6 - 4*z^2 + z^2/a^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 23768] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 4*a^2*z^4 + 5*a^4*z^4 - 
   4*a^6*z^4 + 2*a^4*z^6, Knot[14, NonAlternating, 23769] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 23770] -> 
  a^4 + 3*a^8 - 4*a^10 + a^12 + 4*a^4*z^2 - 3*a^6*z^2 + 10*a^8*z^2 - 
   5*a^10*z^2 + a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - a^4*z^6 - 
   3*a^6*z^6, Knot[14, NonAlternating, 23771] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 3*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 - 
   a^2*z^4 - z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 23772] -> -4 + 11*a^2 - 7*a^4 + a^6 - 8*z^2 - 
   z^2/a^2 + 26*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^2 + 
   26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - z^6 + 12*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 23773] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 15*z^2 + z^2/a^6 - (10*z^2)/a^4 + (24*z^2)/a^2 + 
   3*a^2*z^2 - 16*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23774] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 6*a^2*z^2 - 16*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23775] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 23776] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (16*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (16*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 23777] -> 
  a^(-4) - a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23778] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 23779] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23780] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (24*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23781] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 23782] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 - z^4/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 23783] -> -3/a^6 + 5/a^4 - a^(-2) + 4*z^2 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 + z^6/a^4 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 23784] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, Knot[14, NonAlternating, 23785] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + (8*z^4)/a^6 - (17*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 23786] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23787] -> -3/a^8 + 4/a^6 + z^2/a^12 + z^2/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 23788] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23789] -> 
  -1 + 4*a^2 - 2*a^4 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 23790] -> -a^(-10) + a^(-6) + a^(-4) - 
   z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - (6*z^4)/a^8 + (18*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 23791] -> 
  a^(-2) - a^2 + a^4 - z^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23792] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 23793] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 
   13*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23794] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   11*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23795] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4 - 6*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23796] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 23797] -> 
  -2 + 2/a^2 + a^4 - 8*z^2 + z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   8*z^4 + z^4/a^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 23798] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 3*z^2 + 
   5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 5*a^2*z^4 + 5*a^4*z^4 - 
   2*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 23799] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - 
   z^2/a^2 - (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 23800] -> a^4 + 2*a^6 - 2*a^8 + 8*a^6*z^2 - 
   2*a^8*z^2 - a^10*z^2 - a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 23801] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   z^4 + z^4/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 + z^6/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 23802] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^2 + a^2*z^4 + 3*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 23803] -> 
  1 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 6*z^6 - z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 23804] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - a^6*z^4 + 
   2*z^6 - a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 23805] -> 
  2 - 2*a^2 + 2*a^6 - a^8 - 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 
   2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 23806] -> 
  2*a^2 - a^4 + z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23807] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 2*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23808] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 23809] -> 
  4 - 2/a^2 - a^4 - z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 23810] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (21*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 23811] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2/a^2 + 
   2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 
   7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23812] -> -3/a^8 + 4/a^6 - (10*z^2)/a^8 + 
   (22*z^2)/a^6 - (6*z^2)/a^4 - (8*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 23813] -> -1 + 4*a^2 - 2*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23814] -> -a^(-12) + 3/a^10 - a^(-8) - 5/a^6 + 
   5/a^4 - z^2/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 - (10*z^2)/a^6 + 
   (10*z^2)/a^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^6)/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 23815] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - 3*z^2 + (6*z^2)/a^6 - (17*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23816] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - z^4 + 10*a^2*z^4 - 
   19*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 23817] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 - 5*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 23818] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   4*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 22*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23819] -> -2 + a^(-2) + 3*a^2 - a^4 - 15*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 23820] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (5*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^2 - (2*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 23821] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23822] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 
   2/a^2 + (4*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4, 
 Knot[14, NonAlternating, 23823] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 23824] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 23825] -> -2 - 3/a^4 + 6/a^2 + z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 23826] -> a^(-2) - 3*a^4 + 5*a^6 - 2*a^8 + z^2 - 
   a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 23827] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 7*z^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 23828] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 23829] -> a^(-10) - 3/a^8 + 4/a^6 - 
   4/a^4 + 3/a^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (14*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (16*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 23830] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 + (7*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 23831] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   12*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23832] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - z^6/a^10 - z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 23833] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   z^2/a^12 + (2*z^2)/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - z^4/a^12 + 
   (12*z^4)/a^10 - (21*z^4)/a^8 + (15*z^4)/a^6 + (7*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 23834] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + 
   11*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + 23*a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + 19*a^2*z^6 - 4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 23835] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (2*z^2)/a^16 - (13*z^2)/a^14 - (5*z^2)/a^12 + 
   (29*z^2)/a^10 - (7*z^4)/a^14 - (5*z^4)/a^12 + (51*z^4)/a^10 - z^6/a^14 - 
   z^6/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 23836] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^12 + (11*z^4)/a^10 - (22*z^4)/a^8 + 
   (15*z^4)/a^6 + (7*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 23837] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + (5*z^2)/a^8 - 
   (10*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + z^6/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 23838] -> 
  -2 - 4/a^6 + 5/a^4 + 2/a^2 - 7*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (13*z^2)/a^2 - 9*z^4 - z^4/a^6 - (3*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - 
   (4*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23839] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 + z^4/a^4, 
 Knot[14, NonAlternating, 23840] -> -3/a^8 + 4/a^6 - z^2/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23841] -> -2 + 5*a^2 - a^4 - a^6 - (2*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23842] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) - (3*z^2)/a^14 - (9*z^2)/a^12 + (16*z^2)/a^10 + (8*z^2)/a^8 - 
   z^4/a^14 - (3*z^4)/a^12 + (19*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 23843] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 23844] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 23845] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 2*a^4*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23846] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 23847] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - 
   2*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 23848] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) + (4*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 23849] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23850] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 9*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 14*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 23851] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - z^4/a^6 - z^4/a^4 + 
   (11*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 - z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23852] -> 
  -1 + 3*a^2 - a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + z^4 - z^4/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + z^6 + 2*a^2*z^6, 
 Knot[14, NonAlternating, 23853] -> 2 - 2/a^4 + 2/a^2 - a^4 + z^2 - z^2/a^6 - 
   z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23854] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 23855] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23856] -> -2/a^6 + 3/a^4 - 3*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 23857] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 23858] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 23859] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 + z^2/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 23860] -> 
  -3*a^2 + 7*a^4 - a^6 - 2*a^8 - 9*a^2*z^2 + 22*a^4*z^2 - 2*a^6*z^2 - 
   3*a^8*z^2 - 8*a^2*z^4 + 23*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 
   11*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 23861] -> a^(-8) - 2/a^6 + 2/a^2 + z^2/a^8 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 + (6*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 + 
   (5*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 23862] -> 
  -1 + 5*a^4 - 2*a^6 - a^8 - 3*z^2 + 3*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 8*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23863] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 
   2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 23864] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 - z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 23865] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^6 - (2*z^2)/a^2 - (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 23866] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 - (3*z^2)/a^2 - a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 23867] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   2*z^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 23868] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^8 + (5*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + 
   (4*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 23869] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 10*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 23870] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 23871] -> 
  -1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) + 2*a^2 - 5*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 23872] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 23873] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23874] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23875] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 4*a^2*z^2 - 12*a^4*z^2 + 
   19*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 19*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 23876] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 23877] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 
   z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 23878] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23879] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 23880] -> -4 - a^(-8) + 3/a^6 - 8/a^4 + 11/a^2 - 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 - a^2*z^2 - 
   3*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 - a^2*z^4 - 
   (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23881] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - (8*z^2)/a^14 - (10*z^2)/a^12 + 
   (24*z^2)/a^10 + (4*z^2)/a^8 - (8*z^4)/a^14 + (3*z^4)/a^12 + 
   (28*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (14*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 23882] -> -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + z^4/a^4 + 2*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23883] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (33*z^4)/a^4 + (11*z^4)/a^2 + (8*z^6)/a^6 - (23*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 23884] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 23885] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 21*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23886] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   8*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 23887] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 23888] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   (6*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 23889] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23890] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23891] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 23892] -> 1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 23893] -> 
  2*a^2 - a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 23894] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 23895] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   11*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23896] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 3*z^4 - 
   2*a^2*z^4 + a^4*z^4 - a^2*z^6, Knot[14, NonAlternating, 23897] -> 
  1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   3*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 23898] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 5*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (23*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 + (6*z^4)/a^6 - (23*z^4)/a^4 + 
   (22*z^4)/a^2 - 4*z^6 + z^6/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 23899] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 23900] -> -a^(-8) + 2/a^4 + z^2/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^4/a^10 - (4*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 23901] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 6*z^2 - (3*z^2)/a^4 - z^2/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 10*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 23902] -> 
  2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^2, Knot[14, NonAlternating, 23903] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + z^8, Knot[14, NonAlternating, 23904] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23905] -> -2 + 2/a^2 - a^2 + 4*a^4 - 3*a^6 + a^8 - 
   3*z^2 + z^2/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - 7*a^2*z^4 + 
   6*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23906] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^4 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 23907] -> 4/a^14 - 11/a^12 + 6/a^10 + 2/a^8 + 
   (4*z^2)/a^14 - (25*z^2)/a^12 + (23*z^2)/a^10 + (7*z^2)/a^8 - 
   (15*z^4)/a^12 + (29*z^4)/a^10 + (10*z^4)/a^8 - (2*z^6)/a^12 + 
   (14*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 23908] -> a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + 
   a^(-6) + 2/a^4 - (7*z^2)/a^12 + (21*z^2)/a^10 - (18*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^12 + (16*z^4)/a^10 - (20*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 23909] -> 
  -8 + a^(-8) - a^(-6) - 2/a^4 + 7/a^2 + 4*a^2 - 19*z^2 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 2*z^6 + (8*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 23910] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 
   7*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23911] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (22*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + (10*z^4)/a^10 - (22*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 23912] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 23913] -> 1 + a^(-2) - 4*a^2 + 5*a^4 - 
   3*a^6 + a^8 - z^2 + z^2/a^2 - 8*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + z^4 - 
   7*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 23914] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 23915] -> 3 - a^(-6) + a^(-4) - 3*a^2 + a^4 + 
   7*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23916] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 23917] -> 1 + 2/a^8 - 6/a^6 + 6/a^4 - 2/a^2 + 
   2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23918] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 23919] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 - 10*z^4 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 23920] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 23921] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (14*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 23922] -> 
  1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23923] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^6 + z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 23924] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 23925] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23926] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 23927] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23928] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   6*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 23929] -> 1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + 
   a^8 + 3*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - 
   4*a^2*z^4 + 5*a^4*z^4 - 2*a^2*z^6, Knot[14, NonAlternating, 23930] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^2 - (4*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 23931] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 23932] -> 1 - 3/a^8 + 6/a^6 - 3/a^4 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23933] -> -5 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + 
   3*a^2 - 12*z^2 - (3*z^2)/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - z^4/a^6 + z^4/a^4 + (10*z^4)/a^2 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 23934] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 
   10*z^2 + z^2/a^4 + 10*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + z^4/a^4 + 6*a^2*z^4 - 
   3*z^6 - z^6/a^2, Knot[14, NonAlternating, 23935] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 23936] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^12 - 
   (4*z^6)/a^10 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 23937] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 
   2/a^4 + (2*z^2)/a^12 - (5*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^10 - z^6/a^8 - z^6/a^6, Knot[14, NonAlternating, 23938] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   13*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 23939] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - z^4 + 6*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23940] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 23941] -> 1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 23942] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 
   7*a^4*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 23943] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 23944] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 + z^4/a^6 - (9*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, Knot[14, NonAlternating, 23945] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 23946] -> -a^(-4) + 2/a^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 + z^6/a^2, 
 Knot[14, NonAlternating, 23947] -> -3 + a^(-4) + 4*a^2 - a^4 - 9*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 23948] -> 2*a^4 - a^8 - 2*z^2 + 4*a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 23949] -> -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - 
   (5*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - 
   z^4/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 23950] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 + (5*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 9*z^4 + 
   (4*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 23951] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 23952] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 23953] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 23954] -> -1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) + 
   2*a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 23955] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 4*a^4*z^2 - 4*a^6*z^2 + 10*a^8*z^2 - 
   4*a^10*z^2 - a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 2*a^6*z^6 + 
   4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 23956] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 23957] -> -2*a^4 + 8*a^6 - 5*a^8 - 6*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 - 6*a^4*z^4 + 21*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 23958] -> 3/a^16 - 7/a^14 + 5/a^10 + 
   (4*z^2)/a^16 - (25*z^2)/a^14 + (13*z^2)/a^12 + (21*z^2)/a^10 + z^4/a^16 - 
   (25*z^4)/a^14 + (32*z^4)/a^12 + (37*z^4)/a^10 - (9*z^6)/a^14 + 
   (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 23959] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - z^6/a^10 + 
   z^6/a^6, Knot[14, NonAlternating, 23960] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (5*z^2)/a^8 - (12*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^8 - (13*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 23961] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + z^2/a^10 + (5*z^2)/a^8 - (14*z^2)/a^6 + 
   (10*z^2)/a^4 + z^4/a^10 - (11*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6, Knot[14, NonAlternating, 23962] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 21*z^2 - (5*z^2)/a^4 - 11*a^2*z^2 + 23*z^4 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 + 11*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + 2*z^8 + z^8/a^2, Knot[14, NonAlternating, 23963] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (12*z^2)/a^10 + 
   (10*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^12 - (6*z^4)/a^10 + (6*z^4)/a^8 + 
   (5*z^4)/a^6 - z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 23964] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 + 
   (7*z^2)/a^4 - (14*z^2)/a^2 + 6*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (16*z^4)/a^2 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (9*z^6)/a^2 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 23965] -> 
  1 - 4/a^6 + 8/a^4 - 4/a^2 - (8*z^2)/a^6 + (20*z^2)/a^4 - (8*z^2)/a^2 - 
   (5*z^4)/a^6 + (18*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 23966] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 23967] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + (2*z^6)/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 23968] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 23969] -> -3/a^4 + 5/a^2 - a^2 + 2*z^2 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 - z^4/a^6 + 
   z^4/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 23970] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   z^6/a^2, Knot[14, NonAlternating, 23971] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23972] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^8 - 
   (9*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 23973] -> 4 - 2/a^2 - a^4 + 13*z^2 - (6*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 16*z^4 - (6*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 23974] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 
   6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 7*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8, Knot[14, NonAlternating, 23975] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^4 + (4*z^4)/a^2, 
 Knot[14, NonAlternating, 23976] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 2*z^2 - 
   z^2/a^2 + 7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - z^4/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 23977] -> 3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 23978] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^6/a^6, Knot[14, NonAlternating, 23979] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 23980] -> 
  2 + a^(-4) - 2/a^2 + z^2/a^6 - (2*z^2)/a^4 - 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 23981] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23982] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 23983] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 + z^4/a^8 - 
   (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 23984] -> -2 + 4*a^2 + a^4 - 2*a^6 - 2*z^2 - 
   z^2/a^2 + 9*a^2*z^2 - a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - a^6*z^4 + z^6 + 
   3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 23985] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 23986] -> 
  a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - (4*z^2)/a^10 + z^2/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (2*z^4)/a^10 + (4*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 23987] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 8*z^2 - z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   5*a^2*z^2 + 7*z^4 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 23988] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 + (6*z^2)/a^8 - (9*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 23989] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 23990] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 23991] -> 
  -3/a^8 + 4/a^6 - (5*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 23992] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) + z^2 + (5*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 23993] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (16*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - (5*z^4)/a^8 + (13*z^4)/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 23994] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 23995] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 23996] -> a^4 + 2*a^6 - 2*a^8 + 5*a^4*z^2 - 
   a^6*z^2 + a^8*z^2 + 8*a^4*z^4 - 15*a^6*z^4 + 7*a^8*z^4 + 5*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^6*z^10, 
 Knot[14, NonAlternating, 23997] -> 4 + 3/a^4 - 6/a^2 + 10*z^2 + 
   (10*z^2)/a^4 - (23*z^2)/a^2 + 12*z^4 + (12*z^4)/a^4 - (34*z^4)/a^2 + 
   6*z^6 + (6*z^6)/a^4 - (24*z^6)/a^2 + z^8 + z^8/a^4 - (8*z^8)/a^2 - 
   z^10/a^2, Knot[14, NonAlternating, 23998] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (11*z^2)/a^8 - (26*z^2)/a^6 + (15*z^2)/a^4 + 
   (13*z^4)/a^8 - (37*z^4)/a^6 + (14*z^4)/a^4 + (6*z^6)/a^8 - (25*z^6)/a^6 + 
   (6*z^6)/a^4 + z^8/a^8 - (8*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 23999] -> a^(-8) - 4/a^6 + 4/a^4 + (6*z^2)/a^8 - 
   (14*z^2)/a^6 + (10*z^2)/a^4 + (5*z^4)/a^8 - (16*z^4)/a^6 + (6*z^4)/a^4 + 
   z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 24000] -> 3/a^12 - 10/a^10 + 8/a^8 + (6*z^2)/a^12 - 
   (25*z^2)/a^10 + (26*z^2)/a^8 + (4*z^4)/a^12 - (20*z^4)/a^10 + 
   (25*z^4)/a^8 + z^6/a^12 - (7*z^6)/a^10 + (9*z^6)/a^8 - z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 24001] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 7*z^4 + (7*z^4)/a^4 - (16*z^4)/a^2 + 5*z^6 + (5*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + z^8/a^4 - (7*z^8)/a^2 - z^10/a^2, 
 Knot[14, NonAlternating, 24002] -> -3/a^6 + 5/a^4 - a^(-2) - (11*z^2)/a^6 + 
   (25*z^2)/a^4 - (10*z^2)/a^2 - (13*z^4)/a^6 + (37*z^4)/a^4 - (13*z^4)/a^2 - 
   (6*z^6)/a^6 + (25*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - 
   z^8/a^2 + z^10/a^4, Knot[14, NonAlternating, 24003] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 24004] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 6*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (12*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 24005] -> 2/a^8 - 4/a^6 + a^(-4) + 
   2/a^2 + (5*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - 
   (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 24006] -> 4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + 
   (4*z^2)/a^16 - (30*z^2)/a^14 + (24*z^2)/a^12 + (17*z^2)/a^10 + z^4/a^16 - 
   (26*z^4)/a^14 + (38*z^4)/a^12 + (36*z^4)/a^10 - (9*z^6)/a^14 + 
   (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 24007] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 + z^2/a^10 + (8*z^2)/a^8 - (21*z^2)/a^6 + 
   (13*z^2)/a^4 + z^4/a^10 + (3*z^4)/a^8 - (20*z^4)/a^6 + (7*z^4)/a^4 - 
   (8*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 24008] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (7*z^2)/a^8 + (7*z^2)/a^6 + z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (5*z^4)/a^6 - z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 24009] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 24010] -> 2 - 4/a^6 + 9/a^4 - 6/a^2 + z^2 - 
   (8*z^2)/a^6 + (21*z^2)/a^4 - (11*z^2)/a^2 - (5*z^4)/a^6 + (18*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24011] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + a^8*z^2 + a^2*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 
   5*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 24012] -> 
  4 + 3/a^4 - 6/a^2 + 6*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (13*z^2)/a^2 + 
   4*z^4 + z^4/a^6 - (13*z^4)/a^2 + z^6 - (6*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24013] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 
   2*a^4*z^2 - a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 + 
   9*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 24014] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (3*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 24015] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   6*a^4*z^2 + 20*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 - 6*a^4*z^4 + 21*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 24016] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (4*z^2)/a^16 - (25*z^2)/a^14 + 
   (14*z^2)/a^12 + (21*z^2)/a^10 + z^4/a^16 - (25*z^4)/a^14 + (32*z^4)/a^12 + 
   (37*z^4)/a^10 - (9*z^6)/a^14 + (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 24017] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (9*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 24018] -> 3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 
   8*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 24019] -> -8 - 5/a^4 + 12/a^2 + 2*a^2 - 19*z^2 + 
   z^2/a^6 - (13*z^2)/a^4 + (31*z^2)/a^2 + 3*a^2*z^2 - 19*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (35*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24020] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   9*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 24021] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24022] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 
   a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 24023] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24024] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 24025] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 24026] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   11*a^4*z^2 - 14*a^6*z^2 + 6*a^8*z^2 + a^10*z^2 + 9*a^4*z^4 - 20*a^6*z^4 + 
   a^8*z^4 + 3*a^10*z^4 + 2*a^4*z^6 - 11*a^6*z^6 - 3*a^8*z^6 + a^10*z^6 - 
   2*a^6*z^8 - a^8*z^8, Knot[14, NonAlternating, 24027] -> 
  2 + 3/a^4 - 5/a^2 + a^2 + 6*z^2 + (7*z^2)/a^4 - (17*z^2)/a^2 + 5*z^4 + 
   (5*z^4)/a^4 - (17*z^4)/a^2 + z^6 + z^6/a^4 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24028] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 12*z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 - 5*a^2*z^4 + 6*z^6 - z^6/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 24029] -> a^2 + a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 4*a^2*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   4*a^4*z^4 - 8*a^6*z^4 + a^10*z^4 - 2*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 24030] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + 
   2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24031] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + z^4 - z^4/a^6 + 
   z^4/a^4 + (11*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 24032] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24033] -> 2 + a^(-10) - a^(-8) - a^(-6) + 2/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 24034] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + (13*z^4)/a^6 - 
   (20*z^4)/a^4 + (7*z^4)/a^2 + (7*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 24035] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24036] -> 3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 24037] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 24038] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 24039] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 
   2*a^6 - 8*z^2 + z^2/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 24040] -> 2 + a^(-4) - 2/a^2 + 9*z^2 + 
   (9*z^2)/a^4 - (19*z^2)/a^2 + 12*z^4 + (12*z^4)/a^4 - (33*z^4)/a^2 + 
   6*z^6 + (6*z^6)/a^4 - (24*z^6)/a^2 + z^8 + z^8/a^4 - (8*z^8)/a^2 - 
   z^10/a^2, Knot[14, NonAlternating, 24041] -> 
  3 + 2/a^4 - 4/a^2 + 6*z^2 + (3*z^2)/a^6 - (11*z^2)/a^2 + 4*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (11*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 24042] -> 
  -1 - 2*a^2 + 10*a^4 - 6*a^6 - 4*z^2 - 2*a^2*z^2 + 26*a^4*z^2 - 12*a^6*z^2 - 
   4*z^4 + 3*a^2*z^4 + 26*a^4*z^4 - 9*a^6*z^4 - z^6 + 4*a^2*z^6 + 
   12*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 2*a^4*z^8, 
 Knot[14, NonAlternating, 24043] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 3*z^2 - 
   z^2/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - z^4/a^2 + 8*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24044] -> 2*a^4 - a^8 - 4*a^2*z^2 + 9*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 - 6*a^2*z^4 + 14*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 
   2*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24045] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + z^2 + 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24046] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 4*z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 24047] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 - (3*z^2)/a^14 - (7*z^2)/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 - z^4/a^12 + (15*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 24048] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   4*a^6*z^4 + 2*a^4*z^6, Knot[14, NonAlternating, 24049] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 24050] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 24051] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + (6*z^2)/a^10 - (14*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 24052] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 5*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - z^6 + a^2*z^6, Knot[14, NonAlternating, 24053] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24054] -> 
  a^4 + a^6 - a^10 + 8*a^6*z^2 - a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 
   10*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 24055] -> -2/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + (3*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 24056] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 24057] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - 5*z^2 + 7*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 - 
   2*z^4 + 4*a^2*z^4 + 15*a^4*z^4 - 5*a^6*z^4 + a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 24058] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^4)/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 24059] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (3*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^10 + 
   (9*z^4)/a^8 - z^4/a^6 + z^4/a^4 - z^6/a^10 + (5*z^6)/a^8 - z^6/a^6 + 
   z^8/a^8, Knot[14, NonAlternating, 24060] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (6*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 24061] -> a^2 - a^4 + 2*a^6 - a^10 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^6*z^6, 
 Knot[14, NonAlternating, 24062] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^8 + 
   (7*z^2)/a^6 + z^2/a^2 + z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 24063] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 24064] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + 
   z^2 - z^2/a^2 + a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + z^4 + a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 + a^4*z^6, Knot[14, NonAlternating, 24065] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + z^2/a^12 - (4*z^2)/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 + z^4/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - z^6/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 24066] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   z^4/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + z^6/a^8, 
 Knot[14, NonAlternating, 24067] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 
   2/a^2 + (7*z^2)/a^8 - (11*z^2)/a^6 + (4*z^2)/a^2 + z^4/a^10 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 24068] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24069] -> -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 - 
   (3*z^2)/a^8 - z^2/a^6 + (17*z^2)/a^4 - (7*z^2)/a^2 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (19*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (10*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4, 
 Knot[14, NonAlternating, 24070] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24071] -> a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 + (8*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 + 
   (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 24072] -> 
  4 - a^(-4) - 2*a^2 - (4*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 - 7*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 24073] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   7*z^4 + z^4/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 + 8*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 24074] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 24075] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   9*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - 18*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 24076] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 6*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 24077] -> 
  -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 24078] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 4*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 24079] -> -3 + 9*a^2 - 6*a^4 + a^6 - 3*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 24080] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   15*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 11*z^4 + 
   (3*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 4*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24081] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 24082] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   7*z^2 + 11*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24083] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   13*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 16*a^6*z^4 - 7*a^8*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 24084] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 24085] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   2*z^2 + 8*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   8*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 24086] -> 4*a^6 - 3*a^8 - a^2*z^2 - 
   a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 - 2*a^2*z^4 + 17*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 24087] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 + 
   a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 24088] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   3*a^4*z^2 + 6*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 6*a^6*z^4 - 
   11*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 24089] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24090] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   15*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 24091] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 4*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24092] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 24093] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 
   15*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + 
   z^4/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + 18*a^2*z^6 - 
   7*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24094] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 - 2*a^8*z^4 - a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 24095] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 5*z^4 + z^4/a^2 + 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24096] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24097] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   15*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   z^4/a^2 + 20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 24098] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   2*a^2*z^4 + z^6 - z^6/a^2, Knot[14, NonAlternating, 24099] -> 
  -4 + a^(-8) - 2/a^6 + 2/a^4 + a^(-2) + 3*a^2 - 8*z^2 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 + 2*a^2*z^2 - z^4 - z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24100] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + 
   a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24101] -> -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + a^8 - 
   11*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + 
   8*a^2*z^4 - a^4*z^4 + 2*a^2*z^6, Knot[14, NonAlternating, 24102] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 24103] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 3*z^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 2*z^4 + 7*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24104] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 5*a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + 2*a^6*z^6, Knot[14, NonAlternating, 24105] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + z^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, NonAlternating, 24106] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24107] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - z^4/a^6, 
 Knot[14, NonAlternating, 24108] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 
   8*a^2*z^2 + 20*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 - 8*a^2*z^4 + 22*a^4*z^4 - 
   3*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 24109] -> -a^2 + 4*a^4 - a^6 - a^8 - 
   2*z^2 + a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 
   7*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 24110] -> a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 + (3*z^4)/a^6 - 
   (20*z^4)/a^4 + (8*z^4)/a^2 + (4*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 24111] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24112] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 24113] -> 
  1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 24114] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24115] -> -a^(-4) + 2/a^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 24116] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 24117] -> -1 + 2*a^2 + a^4 - a^8 - 
   2*z^2 + 4*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 5*a^2*z^4 - 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 24118] -> 1 + 2*a^2 - 7*a^4 + 8*a^6 - 
   3*a^8 + z^2 + 6*a^2*z^2 - 20*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 
   6*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 24119] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - (6*z^2)/a^12 + (17*z^2)/a^10 - 
   (20*z^2)/a^8 + (15*z^2)/a^6 - (2*z^4)/a^12 + (19*z^4)/a^10 - 
   (28*z^4)/a^8 + (16*z^4)/a^6 + (8*z^6)/a^10 - (22*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 24120] -> a^(-16) + 2/a^14 - 12/a^12 + 10/a^10 + 
   (2*z^2)/a^16 - (3*z^2)/a^14 - (26*z^2)/a^12 + (37*z^2)/a^10 - 
   (5*z^4)/a^14 - (17*z^4)/a^12 + (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + 
   (35*z^6)/a^10 + (10*z^8)/a^10 + z^10/a^10, 
 Knot[14, NonAlternating, 24121] -> -5 - 6/a^4 + 12/a^2 - 13*z^2 - 
   (13*z^2)/a^4 + (32*z^2)/a^2 - 11*z^4 - (11*z^4)/a^4 + (35*z^4)/a^2 - 
   5*z^6 - (5*z^6)/a^4 + (21*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 24122] -> 
  -3 + 6*a^2 - 2*a^6 - 6*z^2 + 11*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + 
   6*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 + a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 24123] -> a^(-14) - 2/a^12 - a^(-8) + 
   3/a^6 - z^2/a^12 - (2*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + (2*z^4)/a^12 - 
   (3*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 24124] -> a^(-10) - 7/a^8 + 12/a^6 - 8/a^4 + 
   3/a^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (33*z^2)/a^6 - (23*z^2)/a^4 + 
   (7*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + (38*z^4)/a^6 - (27*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 24125] -> a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 
   6/a^6 - (8*z^2)/a^12 + (25*z^2)/a^10 - (29*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^4)/a^12 + (25*z^4)/a^10 - (39*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 24126] -> 
  2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 3*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (11*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 24127] -> -2/a^12 + 6/a^10 - 6/a^8 + 3/a^4 - 
   z^2/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 - (4*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 24128] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 30*z^2 - (6*z^2)/a^4 + (24*z^2)/a^2 + 
   17*a^2*z^2 - 3*a^4*z^2 - 34*z^4 - (4*z^4)/a^4 + (24*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 24129] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (2*z^2)/a^12 + (12*z^2)/a^10 - 
   (20*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + (10*z^4)/a^10 - (21*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 24130] -> 
  a^(-16) + a^(-14) - 10/a^12 + 9/a^10 - z^2/a^14 - (20*z^2)/a^12 + 
   (29*z^2)/a^10 + (3*z^2)/a^8 - z^4/a^14 - (10*z^4)/a^12 + (34*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^12 + (15*z^6)/a^10 + (6*z^6)/a^8 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 24131] -> -3 + 6*a^2 - 2*a^6 - 3*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 
   a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 24132] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - 3*z^2 - z^2/a^6 + (5*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 3*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 24133] -> 
  a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^2 + 
   z^4 - (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^2, 
 Knot[14, NonAlternating, 24134] -> a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - 
   (4*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 24135] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 
   a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 - 2*a^2*z^4 + 17*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 24136] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24137] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24138] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 2*z^2 + 13*a^2*z^2 - 23*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 17*a^2*z^4 - 30*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - z^6 + 10*a^2*z^6 - 20*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 24139] -> 
  4*a^2 - 4*a^4 + a^8 + 3*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + a^8*z^2 - 
   2*a^2*z^4 + a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 24140] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (5*z^2)/a^12 - (19*z^2)/a^10 + 
   (16*z^2)/a^8 + (4*z^2)/a^6 + (4*z^4)/a^12 - (15*z^4)/a^10 + (13*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^12 - (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 - z^8/a^10, 
 Knot[14, NonAlternating, 24141] -> 1 - 4/a^6 + 8/a^4 - 4/a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (17*z^2)/a^4 - (11*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (14*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 24142] -> 2 - a^2 - a^6 + a^8 + z^2 - 
   3*a^2*z^2 - a^6*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 - a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 24143] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 - z^2/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - z^6/a^8, Knot[14, NonAlternating, 24144] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 24145] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 24146] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   2*z^6 + a^2*z^6, Knot[14, NonAlternating, 24147] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4/a^10 - (13*z^4)/a^8 + (28*z^4)/a^6 - (9*z^4)/a^4 - 
   (7*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + (8*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 24148] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 6*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 - 3*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 24149] -> -2/a^4 + 3/a^2 + a^2 - a^4 - z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 24150] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - 
   (5*z^2)/a^4 - (5*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   z^6/a^8 + (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24151] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24152] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 
   5/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + 
   (8*z^4)/a^10 - (11*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^10 - (6*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 24153] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24154] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 24155] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 24156] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - 
   a^8 - 5*z^2 + 19*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   21*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 11*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24157] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 9*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24158] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24159] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (3*z^2)/a^12 - (8*z^2)/a^10 + 
   (3*z^2)/a^8 + (9*z^2)/a^6 + (3*z^4)/a^12 - (7*z^4)/a^10 - z^4/a^8 + 
   (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 24160] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (3*z^2)/a^12 - (10*z^2)/a^10 + 
   (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^4)/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 24161] -> 
  a^(-2) - a^2 + a^4 - z^2 + (4*z^2)/a^2 - 13*a^2*z^2 + 8*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^2 - 20*a^2*z^4 + 8*a^4*z^4 - 4*z^6 + z^6/a^2 - 11*a^2*z^6 + 
   2*a^4*z^6 - z^8 - 2*a^2*z^8, Knot[14, NonAlternating, 24162] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 + z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - 7*z^4 + z^4/a^4 - 5*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 24163] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - z^4/a^8 - z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24164] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - 
   z^2/a^2 + 9*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 24165] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24166] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 24167] -> 
  a^(-6) - a^(-4) + a^2 - 6*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24168] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24169] -> 
  -2 + 6*a^2 - 3*a^4 - z^2 + 5*a^2*z^2 - a^4*z^2 + 6*z^4 - 11*a^2*z^4 + 
   6*a^4*z^4 + 5*z^6 - 16*a^2*z^6 + 5*a^4*z^6 + z^8 - 7*a^2*z^8 + a^4*z^8 - 
   a^2*z^10, Knot[14, NonAlternating, 24170] -> 
  4/a^12 - 12/a^10 + 9/a^8 + (8*z^2)/a^12 - (30*z^2)/a^10 + (28*z^2)/a^8 + 
   (5*z^4)/a^12 - (24*z^4)/a^10 + (26*z^4)/a^8 + z^6/a^12 - (8*z^6)/a^10 + 
   (9*z^6)/a^8 - z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 24171] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (5*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 + 
   (8*z^4)/a^8 - (21*z^4)/a^6 + (9*z^4)/a^4 + (5*z^6)/a^8 - (18*z^6)/a^6 + 
   (5*z^6)/a^4 + z^8/a^8 - (7*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 24172] -> a^2 + a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + 3*z^4 - 6*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24173] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 + z^4/a^12 - 
   (5*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - z^6/a^10 + z^6/a^6, 
 Knot[14, NonAlternating, 24174] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 - 
   z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 24175] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + a^4*z^2 + 2*a^6*z^2 + 10*a^8*z^2 - 
   5*a^10*z^2 - a^4*z^4 + 4*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 24176] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 2*a^4*z^2 + 
   11*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 2*a^4*z^4 + 9*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 24177] -> 3/a^16 - 7/a^14 + 5/a^10 + 
   (4*z^2)/a^16 - (23*z^2)/a^14 + (9*z^2)/a^12 + (23*z^2)/a^10 + z^4/a^16 - 
   (24*z^4)/a^14 + (28*z^4)/a^12 + (38*z^4)/a^10 - (9*z^6)/a^14 + 
   (26*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 24178] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 - z^4/a^10 - (8*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, 
 Knot[14, NonAlternating, 24179] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 25*z^2 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 12*a^2*z^2 + 25*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 + 11*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*z^8 + z^8/a^2, Knot[14, NonAlternating, 24180] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 7*z^2 - 14*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 + 
   7*z^4 - 18*a^2*z^4 + 3*a^6*z^4 + 2*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - 2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 24181] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 5*z^2 - 7*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - 7*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 24182] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (8*z^4)/a^6 - (19*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 24183] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24184] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24185] -> -2 + a^2 + 7*a^4 - 5*a^6 - 5*z^2 + 
   3*a^2*z^2 + 20*a^4*z^2 - 10*a^6*z^2 - 4*z^4 + 5*a^2*z^4 + 22*a^4*z^4 - 
   8*a^6*z^4 - z^6 + 4*a^2*z^6 + 11*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 
   2*a^4*z^8, Knot[14, NonAlternating, 24186] -> 
  1 - a^(-2) - a^2 + 6*a^4 - 4*a^6 + 2*z^2 - (2*z^2)/a^2 + a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24187] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 - z^4/a^8 + 
   (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 24188] -> -2 + 9*a^4 - 6*a^6 - 5*z^2 + 
   2*a^2*z^2 + 23*a^4*z^2 - 11*a^6*z^2 - 2*z^4 + 3*a^2*z^4 + 21*a^4*z^4 - 
   6*a^6*z^4 + a^2*z^6 + 8*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 24189] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (4*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^4)/a^12 - 
   (9*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 24190] -> -4/a^6 + 7/a^4 - 2/a^2 + z^2 - 
   (5*z^2)/a^6 + (15*z^2)/a^4 - (6*z^2)/a^2 - (4*z^4)/a^6 + (13*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24191] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^6 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 24192] -> 
  -4 + 7*a^2 + a^4 - 3*a^6 - 4*z^2 - z^2/a^2 + 12*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + 7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 24193] -> -3/a^4 + 5/a^2 - a^2 + 2*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (6*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^2, Knot[14, NonAlternating, 24194] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + z^2/a^12 - z^2/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 24195] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 24196] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^10 + 
   (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 24197] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 24198] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 6*z^2 + 
   8*a^2*z^2 + 14*a^4*z^2 - 8*a^6*z^2 - 2*z^4 + 5*a^2*z^4 + 16*a^4*z^4 - 
   5*a^6*z^4 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 24199] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (3*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + (3*z^4)/a^12 - 
   (7*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 24200] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 3*z^2 - 
   (5*z^2)/a^6 + (10*z^2)/a^4 + (4*z^2)/a^2 - z^4 - (4*z^4)/a^6 + 
   (12*z^4)/a^4 + z^4/a^2 - z^6/a^6 + (6*z^6)/a^4 + z^8/a^4, 
 Knot[14, NonAlternating, 24201] -> a^(-14) - a^(-12) - 3/a^10 + 2/a^8 + 
   2/a^6 - z^2/a^12 - (4*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^4)/a^12 - (3*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 24202] -> -3/a^8 + 4/a^6 - z^2/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4/a^10 - z^4/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 24203] -> -2/a^10 + 3/a^8 - 2/a^6 + 
   2/a^4 - z^2/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 + (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 24204] -> 
  -a^(-2) + 2*a^2 + 3*a^4 - 3*a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + a^4*z^6, 
 Knot[14, NonAlternating, 24205] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 24206] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + (9*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 24207] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 22*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   18*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + (10*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 24208] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 + 
   (5*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24209] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 9*z^2 + (6*z^2)/a^6 - (23*z^2)/a^4 + 
   (29*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (25*z^4)/a^2 - z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 24210] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (17*z^2)/a^8 + (28*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 24211] -> 2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 + 
   (2*z^2)/a^10 - (18*z^2)/a^8 + (31*z^2)/a^6 - (8*z^2)/a^4 - (11*z^4)/a^8 + 
   (30*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 24212] -> 
  -a^(-8) + a^(-6) + a^(-2) - 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24213] -> -a^(-8) + 2/a^4 - (4*z^2)/a^8 + z^2/a^6 + 
   (14*z^2)/a^4 - (7*z^2)/a^2 - (4*z^4)/a^8 + (4*z^4)/a^6 + (20*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (11*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4, Knot[14, NonAlternating, 24214] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^4 - z^2/a^2 - 
   2*z^4 - z^4/a^8 + z^4/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 24215] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 - z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 24216] -> a^(-10) - 4/a^8 + 5/a^6 - 
   3/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 24217] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 
   4/a^6 - (4*z^2)/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24218] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 
   7*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24219] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 24220] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 24221] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   13*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 24222] -> -a^(-2) + 5*a^2 - 3*a^4 + 
   z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 24223] -> 3 - a^(-10) + 2/a^8 - a^(-6) + 2/a^4 - 
   4/a^2 + 4*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - (11*z^2)/a^2 + 
   z^4 - (7*z^4)/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24224] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 10*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24225] -> -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 
   3*a^2*z^2 + 4*a^4*z^2 + 15*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 24226] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (18*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 24227] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - (5*z^6)/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 24228] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   22*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 24229] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 24230] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + 3*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24231] -> -8 + 4/a^2 + 6*a^2 - a^4 - 23*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24232] -> 3 - a^(-10) + 2/a^8 - 3/a^2 + 4*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24233] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 + 2*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24234] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 - z^4/a^6 - z^4/a^4 + (10*z^4)/a^2 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 24235] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24236] -> -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - 
   a^4 - 15*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   12*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 4*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24237] -> -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 
   3*a^2*z^2 + 5*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 15*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 24238] -> 
  7 - 3/a^2 - 3*a^2 + 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 24239] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 24240] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 24241] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 20*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 
   13*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 24242] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^4 + (6*z^4)/a^10 - (17*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^10 - (11*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 24243] -> 
  -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - 3*z^2 + 8*a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   2*z^4 + 10*a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 24244] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 2*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24245] -> -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   2*a^2 - 4*z^2 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^4 + 
   (2*z^4)/a^2, Knot[14, NonAlternating, 24246] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 - 2*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + a^6*z^4, Knot[14, NonAlternating, 24247] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 24248] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + z^6, Knot[14, NonAlternating, 24249] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 + (4*z^2)/a^10 - (4*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (6*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24250] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^2 - 2*a^2*z^4 + 2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 24251] -> a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4/a^2 - a^4*z^4 + 2*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 24252] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 14*z^2 + (5*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 24253] -> 
  2*a^2 - a^4 - 2*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   7*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 24254] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 24255] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   4*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24256] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   8*z^2 + (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24257] -> -a^(-4) + 2/a^2 + z^2/a^8 - z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 24258] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + 
   z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24259] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^6)/a^6, Knot[14, NonAlternating, 24260] -> 
  4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 + 6*a^2*z^2 - 16*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 19*a^6*z^4 - 
   6*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 24261] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 24262] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^4 - (2*z^4)/a^2 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 24263] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 5*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24264] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 + (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24265] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24266] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - z^4 - (2*z^4)/a^2 + 
   z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24267] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24268] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24269] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   24*z^2 + (7*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 30*z^4 + 
   (9*z^4)/a^2 + 26*a^2*z^4 - 6*a^4*z^4 - 20*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - 
   a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24270] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 
   5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24271] -> -5 + 3/a^2 + 3*a^2 + a^4 - 2*a^6 + a^8 - 
   10*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 24272] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 24273] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (14*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 24274] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24275] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 24276] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   20*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24277] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 24278] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24279] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - (5*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + (9*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 24280] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^2 + 3*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24281] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24282] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   5*z^2 + z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6/a^2, Knot[14, NonAlternating, 24283] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 24284] -> 
  2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 5*a^4*z^2 + 4*a^6*z^2 - 12*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 19*a^8*z^4 + 
   6*a^10*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 - 2*a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 24285] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 - z^2/a^12 + (7*z^2)/a^10 - 
   (7*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - (16*z^4)/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 + z^6/a^10 - (11*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 24286] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 24287] -> 3*a^4 - 2*a^6 + z^2/a^4 - 
   z^2/a^2 + 3*a^4*z^2 + 2*z^4 - (3*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24288] -> -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 
   4*z^2 - (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (2*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[14, NonAlternating, 24289] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 
   a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24290] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + (4*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 - z^4/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24291] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 24292] -> 5 - 2/a^2 - 2*a^2 + 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24293] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 24294] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   4*z^4 + 11*a^2*z^4 - 16*a^4*z^4 + 5*a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24295] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 24296] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 24297] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 24*z^2 + 
   (9*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 26*z^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 24298] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24299] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24300] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 7*z^2 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 24301] -> 2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 24302] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 3*z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + (2*z^6)/a^4, Knot[14, NonAlternating, 24303] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24304] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 12*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   13*z^6 + (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 24305] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + 
   a^10 + 4*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   5*a^2*z^4 - 17*a^4*z^4 + 17*a^6*z^4 - 5*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24306] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   14*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24307] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 24308] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 24309] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   4*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 24310] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 20*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 
   11*a^4*z^2 + a^6*z^2 - 26*z^4 + (8*z^4)/a^2 + 25*a^2*z^4 - 6*a^4*z^4 - 
   19*z^6 + (5*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 24311] -> 
  4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + a^2*z^2 + 8*a^4*z^2 - 13*a^6*z^2 + 
   8*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 12*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 24312] -> 
  -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + a^8 - 12*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 24313] -> 1 + a^6 - 2*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - a^2*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 24314] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24315] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   8*a^2*z^2 - 21*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 8*a^2*z^4 - 
   28*a^4*z^4 + 23*a^6*z^4 - 6*a^8*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24316] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 + 
   9*a^2*z^2 - 25*a^4*z^2 + 23*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 9*a^2*z^4 - 
   31*a^4*z^4 + 25*a^6*z^4 - 6*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24317] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 24318] -> 2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   3*z^2 - 6*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 
   7*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24319] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^2 - 
   10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24320] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 6*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 15*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 24321] -> 2*a^2 - a^4 + 6*a^2*z^2 - 11*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 24322] -> 3*a^4 - a^6 - 2*a^8 + a^10 + a^4*z^2 + 
   9*a^6*z^2 - 12*a^8*z^2 + 4*a^10*z^2 - 8*a^4*z^4 + 23*a^6*z^4 - 
   17*a^8*z^4 + 2*a^10*z^4 - 6*a^4*z^6 + 21*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 
   8*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 24323] -> 
  2 - a^2 - a^4 + a^6 - z^2 + 4*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 
   10*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 24324] -> 
  3 - a^(-2) - 2*a^4 + a^6 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24325] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 8*a^2*z^2 - 
   17*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 + 7*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 24326] -> -1 + a^(-2) + a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24327] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24328] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 24329] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 24330] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24331] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 4*z^6 + 9*a^2*z^6 - 3*a^4*z^6 + 
   2*a^2*z^8, Knot[14, NonAlternating, 24332] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - (11*z^6)/a^4 + (19*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24333] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 24334] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 10*a^2*z^2 - 22*a^4*z^2 + 18*a^6*z^2 - 
   3*a^8*z^2 + 8*a^2*z^4 - 26*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 24335] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + (7*z^2)/a^10 - (19*z^2)/a^8 + 
   (17*z^2)/a^6 - z^2/a^4 + (2*z^4)/a^10 - (20*z^4)/a^8 + (27*z^4)/a^6 - 
   (9*z^4)/a^4 - (8*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^8 + 
   (8*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 24336] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 24337] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + z^4/a^2 + 
   17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24338] -> 1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 24339] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 24340] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 
   4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 24341] -> 
  1 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 18*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24342] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + 5*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 24343] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 8*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24344] -> 2 - a^(-4) + a^(-2) - a^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 24345] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - 
   z^4/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 7*a^2*z^6 - 2*a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 24346] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 - a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 + a^4*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24347] -> 2*a^4 - a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 
   10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 - 
   5*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 24348] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (13*z^4)/a^2 + (3*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 24349] -> -1 + a^(-4) + a^4 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 24350] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (20*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 24351] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 
   7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24352] -> 3 + a^(-6) - 3/a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 24353] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 6*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + z^4 - 7*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 + z^6 - 3*a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 24354] -> 
  2 + 2/a^6 - 3/a^4 - z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 - z^4/a^8 + (11*z^4)/a^6 - (27*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 24355] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   3*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 24356] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   8*a^2*z^2 - 21*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 9*a^2*z^4 - 
   29*a^4*z^4 + 22*a^6*z^4 - 5*a^8*z^4 + 5*a^2*z^6 - 20*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24357] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 
   5*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 - 4*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24358] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 24359] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - z^4/a^4 + (13*z^4)/a^2 + 10*a^2*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 24360] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 24361] -> 3 + a^(-6) - 2/a^4 - a^2 + 
   3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 7*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24362] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 24363] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + z^4/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + 17*a^2*z^6 - 6*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 24364] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 24365] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 
   16*a^4*z^4 + 18*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24366] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24367] -> 2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24368] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 - (2*z^4)/a^8 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 + (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24369] -> -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24370] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   19*a^2*z^4 - 20*a^4*z^4 + 6*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24371] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 
   z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 3*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^2 + z^6 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24372] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 24373] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 17*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (22*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 + (2*z^4)/a^6 - (20*z^4)/a^4 + 
   (31*z^4)/a^2 + a^2*z^4 - 7*z^6 - (8*z^6)/a^4 + (23*z^6)/a^2 - z^8 - 
   z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 24374] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 + (7*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24375] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 
   4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 24376] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + a^2*z^6, Knot[14, NonAlternating, 24377] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*z^4 + (5*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 24378] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 24379] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 6*z^2 + 5*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 24380] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 24381] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 24382] -> 
  -1 + 3*a^2 - a^6 - 6*z^2 + z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   8*z^4 + z^4/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 24383] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 6*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 
   4*a^8*z^2 + 10*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 2*a^8*z^4 + 6*a^2*z^6 - 
   22*a^4*z^6 + 8*a^6*z^6 + a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24384] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24385] -> 2 - a^(-2) + a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24386] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - (6*z^4)/a^8 + 
   (15*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24387] -> -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 
   2*a^4 - 6*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + z^4/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 - 5*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 24388] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - z^2/a^2 - z^4 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24389] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - a^2 + a^6 + 
   z^2 + z^2/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[14, NonAlternating, 24390] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 4*a^6*z^2 - 9*z^4 + z^4/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24391] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 7*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24392] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - (8*z^4)/a^8 + 
   (17*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24393] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   8*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4 + z^4/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 24394] -> -6 + 3/a^2 + 7*a^2 - 4*a^4 + a^8 - 
   19*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   15*z^4 + z^4/a^2 + 23*a^2*z^4 - 5*a^6*z^4 - 3*z^6 + 12*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 24395] -> -a^(-4) + 2/a^2 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + (6*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 + 
   (4*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 24396] -> 
  1 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 24397] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 24398] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 24399] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 18*a^4*z^4 + 5*a^6*z^4 - z^6 + 
   7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24400] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 + z^6/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24401] -> 
  3 + a^(-6) - 2/a^4 - a^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 24402] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + z^2/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   (8*z^4)/a^8 + (19*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24403] -> -8 + 4/a^2 + 8*a^2 - 4*a^4 + a^8 - 
   21*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   15*z^4 + z^4/a^2 + 24*a^2*z^4 - 5*a^6*z^4 - 3*z^6 + 12*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 24404] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 
   2/a^6 + a^(-4) - (5*z^2)/a^12 + (12*z^2)/a^10 - (9*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (7*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24405] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - z^4 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 24406] -> 
  -1 + 2/a^4 - 2/a^2 + 4*a^2 - 3*a^4 + a^8 - z^2 + z^2/a^4 - (7*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 9*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 24407] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 24408] -> -1 + 4*a^2 - 2*a^4 + 3*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24409] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^4*z^4 + a^6*z^4 - 
   z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 24410] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 24411] -> 
  1 - a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - 
   5*a^2*z^4 + a^6*z^4 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 24412] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 
   7*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + 
   z^4/a^2 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 24413] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + z^4 + a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24414] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24415] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24416] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 24417] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - z^2 + z^2/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 24418] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 18*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 24419] -> a^(-14) - 4/a^12 + 5/a^10 - 
   4/a^8 + 2/a^6 + a^(-4) - (5*z^2)/a^12 + (13*z^2)/a^10 - (10*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^4 - 
   (4*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 24420] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 + a^2*z^2 - 8*a^4*z^2 + 27*a^6*z^2 - 
   15*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 9*a^4*z^4 + 26*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 24421] -> 5*a^6 - 8*a^8 + 7*a^10 - 3*a^12 + 
   18*a^6*z^2 - 27*a^8*z^2 + 23*a^10*z^2 - 6*a^12*z^2 + 20*a^6*z^4 - 
   39*a^8*z^4 + 24*a^10*z^4 - 2*a^12*z^4 + 8*a^6*z^6 - 28*a^8*z^6 + 
   9*a^10*z^6 + a^6*z^8 - 9*a^8*z^8 + a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 24422] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   8*a^2*z^2 - 23*a^4*z^2 + 26*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 28*a^4*z^4 + 35*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   13*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - 2*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 24423] -> 
  -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 5*z^2 + 15*a^2*z^2 - 11*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - z^6 + 11*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 24424] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 24425] -> 
  2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - 6*a^2*z^2 - 2*a^4*z^2 + 
   9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 7*a^2*z^4 + 9*a^6*z^4 - 
   5*a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 24426] -> 2 - 2*a^2 + a^4 + 6*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24427] -> 2 - a^(-2) - a^2 + 2*a^4 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24428] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24429] -> -a^4 + 6*a^6 - 4*a^8 + 2*a^2*z^2 - 
   7*a^4*z^2 + 20*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + a^2*z^4 - 9*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 24430] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 20*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 37*a^2*z^4 - 17*a^4*z^4 + 
   a^6*z^4 - 12*z^6 + z^6/a^2 + 25*a^2*z^6 - 7*a^4*z^6 - 2*z^8 + 8*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24431] -> 
  -1 + 2*a^2 + a^4 - a^8 - 4*z^2 + 12*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 
   11*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 24432] -> 
  4*a^6 - 3*a^8 + z^2 - a^2*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 24433] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   11*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 + 
   z^4/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 - 2*z^6 + 5*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 24434] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 24435] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   5*z^4 - (7*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 - (4*z^6)/a^4 + (13*z^6)/a^2 - 
   z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 24436] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^6)/a^6, Knot[14, NonAlternating, 24437] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24438] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 24439] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24440] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - z^6 + 11*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 24441] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24442] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 11*a^2*z^6 - 17*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24443] -> 3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 2*a^10 + 
   7*a^2*z^2 - 21*a^4*z^2 + 27*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 + 
   5*a^2*z^4 - 27*a^4*z^4 + 36*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 + a^2*z^6 - 
   13*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - 2*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 24444] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + 
   (6*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 24445] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 
   3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 24446] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 24447] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 
   3*a^2 - 10*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + z^4/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24448] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 17*z^2 + (5*z^2)/a^2 + 18*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24449] -> 
  -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 - (4*z^6)/a^8 + (2*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24450] -> 2 + 2/a^6 - 3/a^4 + a^(-2) - 3*a^2 + 
   2*a^4 + 6*z^2 + z^2/a^6 - (6*z^2)/a^4 - 8*a^2*z^2 + a^4*z^2 + 11*z^4 - 
   (2*z^4)/a^4 - 5*a^2*z^4 + 6*z^6 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24451] -> a^2 + a^4 - a^6 - z^2 - a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - z^4 + 8*a^4*z^4 - a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 24452] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24453] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24454] -> 3*a^4 - 2*a^6 - z^2 + 6*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 24455] -> 
  3*a^4 - 2*a^6 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - z^4 - a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 24456] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 24457] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 + (4*z^2)/a^4 - (2*z^2)/a^2 - z^4 - 
   z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24458] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^4 + z^4/a^2 + a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 24459] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 - z^2/a^2 + 6*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 - z^4/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 + z^6 + 
   3*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 24460] -> 
  -a^(-6) + a^(-4) + a^(-2) + 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24461] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - z^4/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24462] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + z^4 + a^2*z^4 - 
   16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 24463] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   7*z^2 + (2*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24464] -> 1 + 4*z^2 - (2*z^2)/a^4 - 2*a^4*z^2 + 
   6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 24465] -> 1 - 2/a^4 + 3/a^2 - a^2 + 
   z^2 - z^2/a^6 + (4*z^2)/a^2 - a^2*z^2 - z^4 + (3*z^4)/a^4 + 2*a^2*z^4 - 
   3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 24466] -> a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24467] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24468] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 + (8*z^4)/a^10 - 
   (20*z^4)/a^8 + (13*z^4)/a^6 + (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 24469] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 4*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 
   8*z^4 - (7*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - 
   z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 24470] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (11*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 24471] -> a^2 + a^6 - a^8 + z^2 - a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 24472] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^4 - (7*z^2)/a^2 - 
   z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 24473] -> -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 24474] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 24475] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 
   3*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 24476] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 24477] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 - z^2/a^6 + z^2/a^4 + 
   5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 
   2*z^6 - z^6/a^2, Knot[14, NonAlternating, 24478] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 + (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24479] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (6*z^2)/a^4 + z^4/a^10 - (9*z^4)/a^6 + (5*z^4)/a^4 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 24480] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 24481] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24482] -> 3 - a^(-2) - a^2 + 6*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^4*z^2 + 5*z^4 + 3*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 24483] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   4*z^2 + 13*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 4*z^4 + 13*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24484] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 - (6*z^6)/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 24485] -> 1 + z^2 - z^2/a^4 + a^2*z^2 - a^6*z^2 + 
   z^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 24486] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24487] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 - z^4 + 
   4*a^2*z^4 + a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 24488] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 + 3*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24489] -> -a^(-8) + 2/a^4 - z^2 - z^2/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2, 
 Knot[14, NonAlternating, 24490] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 24491] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 24492] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24493] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (8*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24494] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   z^2/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4, Knot[14, NonAlternating, 24495] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2/a^6 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 24496] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 2*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24497] -> -a^2 + 5*a^4 - 3*a^6 - 6*a^2*z^2 + 
   17*a^4*z^2 - 7*a^6*z^2 - 7*a^2*z^4 + 19*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 - 
   2*a^2*z^6 + 10*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24498] -> 3/a^16 - 11/a^14 + 8/a^12 + a^(-10) + 
   (4*z^2)/a^16 - (29*z^2)/a^14 + (25*z^2)/a^12 + (17*z^2)/a^10 + z^4/a^16 - 
   (26*z^4)/a^14 + (38*z^4)/a^12 + (36*z^4)/a^10 - (9*z^6)/a^14 + 
   (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 24499] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 4*z^2 - 3*a^2*z^2 + 25*a^4*z^2 - 12*a^6*z^2 - 
   4*z^4 + 3*a^2*z^4 + 26*a^4*z^4 - 9*a^6*z^4 - z^6 + 4*a^2*z^6 + 
   12*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 2*a^4*z^8, 
 Knot[14, NonAlternating, 24500] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   (2*z^2)/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - z^4/a^12 + 
   (13*z^4)/a^10 - (21*z^4)/a^8 + (15*z^4)/a^6 + (7*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 24501] -> 3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + 6*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24502] -> -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + z^4 - z^4/a^2 + 
   9*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24503] -> 1 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24504] -> 5 - 2/a^2 - 2*a^2 + 11*z^2 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 24505] -> a^6 + 3*a^8 - 3*a^10 + 2*a^4*z^2 + 
   2*a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 + a^4*z^4 - a^6*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 - a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 24506] -> 1 + 9*z^2 - z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 15*z^4 - (2*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + 9*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24507] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 - (4*z^4)/a^6 + (12*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24508] -> 3 - a^(-2) - a^2 + 13*z^2 - (7*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 18*z^4 - (7*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   10*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24509] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 
   17*a^4*z^2 - 9*a^6*z^2 - 4*z^4 + 4*a^2*z^4 + 21*a^4*z^4 - 8*a^6*z^4 - 
   z^6 + 4*a^2*z^6 + 11*a^4*z^6 - 2*a^6*z^6 + a^2*z^8 + 2*a^4*z^8, 
 Knot[14, NonAlternating, 24510] -> 3 - a^(-2) - a^2 + 9*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 14*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   9*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24511] -> -1 + 3*a^2 - a^6 - 2*z^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + z^4 - z^4/a^2 + 9*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24512] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^10 + 
   z^2/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24513] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + z^4/a^2 + 
   2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 24514] -> -a^(-10) - a^(-8) + 3/a^6 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 24515] -> 
  2*a^6 + a^8 - 2*a^10 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 - a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + a^8*z^6, 
 Knot[14, NonAlternating, 24516] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 24517] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - (3*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 24518] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   7*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 - a^6*z^2 + 6*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 24519] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24520] -> -3 - a^(-4) + 4/a^2 + a^4 - z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24521] -> 1 + 4*z^2 - z^2/a^6 - 3*a^2*z^2 + 5*z^4 - 
   z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 24522] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + 3*z^4 + z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 24523] -> a^2 + a^4 - a^6 - 4*z^2 + 5*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 8*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - z^6 + 
   5*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 24524] -> -3/a^8 + 4/a^6 - z^2/a^12 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 24525] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - z^4 + z^4/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^6 + z^6/a^2, 
 Knot[14, NonAlternating, 24526] -> a^(-4) - a^(-2) + a^2 - z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 + z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24527] -> 2*a^6 + a^8 - 2*a^10 + a^4*z^2 + 
   4*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 - a^4*z^4 + 4*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 24528] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - (4*z^4)/a^6 + 
   (12*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24529] -> -1 + 3*a^2 - a^6 + z^2 + a^2*z^2 + 
   a^6*z^2 + 5*z^4 - 8*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24530] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24531] -> 3 - a^(-2) - a^2 + 7*z^2 - (4*z^2)/a^2 - 
   a^2*z^2 - a^6*z^2 + 6*z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 + z^6, 
 Knot[14, NonAlternating, 24532] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 - 
   z^2/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - z^4/a^2 + 6*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24533] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24534] -> -1 + 4*a^2 - 2*a^4 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24535] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - z^4 - z^4/a^2 + 11*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 + z^6 + 4*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24536] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 24537] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 24538] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^8 + z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24539] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24540] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 24541] -> a^2 + a^4 - a^6 - z^2 + a^2*z^2 + 
   3*a^4*z^2 - a^8*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 24542] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 24543] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 + z^6 + 3*a^2*z^6, 
 Knot[14, NonAlternating, 24544] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   9*z^2 - z^2/a^6 + (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 24545] -> 2*a^4 - a^8 + 2*z^2 - a^2*z^2 + 
   3*a^6*z^2 + 3*z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 + z^6 - 3*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 24546] -> -2 + 5*a^2 - a^4 - a^6 - z^2/a^4 - 
   z^2/a^2 + 8*a^2*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4, 
 Knot[14, NonAlternating, 24547] -> -4*a^2 + 11*a^4 - 6*a^6 - 16*a^2*z^2 + 
   40*a^4*z^2 - 17*a^6*z^2 - 17*a^2*z^4 + 51*a^4*z^4 - 17*a^6*z^4 - 
   7*a^2*z^6 + 31*a^4*z^6 - 7*a^6*z^6 - a^2*z^8 + 9*a^4*z^8 - a^6*z^8 + 
   a^4*z^10, Knot[14, NonAlternating, 24548] -> 
  4/a^8 - 10/a^6 + 7/a^4 + (16*z^2)/a^8 - (37*z^2)/a^6 + (20*z^2)/a^4 + 
   (17*z^4)/a^8 - (50*z^4)/a^6 + (18*z^4)/a^4 + (7*z^6)/a^8 - (31*z^6)/a^6 + 
   (7*z^6)/a^4 + z^8/a^8 - (9*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 24549] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 
   10*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + 12*a^2*z^4 + 12*a^4*z^4 - 
   5*a^6*z^4 - z^6 + 6*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 24550] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (7*z^2)/a^8 - (9*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + (5*z^4)/a^8 - 
   (12*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - (6*z^6)/a^6 - 
   (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 24551] -> 4/a^16 - 14/a^14 + 11/a^12 + 
   (8*z^2)/a^16 - (55*z^2)/a^14 + (64*z^2)/a^12 + (5*z^4)/a^16 - 
   (74*z^4)/a^14 + (131*z^4)/a^12 + z^6/a^16 - (43*z^6)/a^14 + 
   (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 24552] -> 
  4/a^16 - 13/a^14 + 9/a^12 + a^(-10) + (4*z^2)/a^16 - (32*z^2)/a^14 + 
   (29*z^2)/a^12 + (15*z^2)/a^10 + z^4/a^16 - (27*z^4)/a^14 + (42*z^4)/a^12 + 
   (35*z^4)/a^10 - (9*z^6)/a^14 + (29*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 24553] -> 1 - 6/a^6 + 12/a^4 - 6/a^2 - 
   (11*z^2)/a^6 + (28*z^2)/a^4 - (11*z^2)/a^2 - (6*z^4)/a^6 + (23*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (8*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24554] -> 5/a^8 - 12/a^6 + 8/a^4 + (4*z^2)/a^10 + 
   (6*z^2)/a^8 - (30*z^2)/a^6 + (18*z^2)/a^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - 
   (30*z^4)/a^6 + (11*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 24555] -> 
  3/a^8 - 5/a^6 + 3/a^2 + (2*z^2)/a^10 + (4*z^2)/a^8 - (12*z^2)/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (11*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 24556] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24557] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - z^4/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24558] -> 1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 24559] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 6*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24560] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + z^2/a^4 + 
   7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 24561] -> 
  -4 + 3/a^2 + a^2 + a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   19*z^6 + (6*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 24562] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 + (7*z^4)/a^6 - (22*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 24563] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (9*z^2)/a^10 - (20*z^2)/a^8 + (17*z^2)/a^6 + (9*z^4)/a^10 - (24*z^4)/a^8 + 
   (14*z^4)/a^6 + (2*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 24564] -> -a^(-10) - a^(-8) + 3/a^6 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - 
   z^6/a^8 + (6*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24565] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   (7*z^2)/a^12 + (5*z^2)/a^10 + (14*z^2)/a^8 - (2*z^4)/a^12 + (4*z^4)/a^10 + 
   (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 24566] -> -1 + a^(-4) + a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24567] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (19*z^2)/a^2 - 5*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (20*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24568] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 + z^4/a^10 - (11*z^4)/a^8 + (19*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 24569] -> 
  -5 + 3/a^2 + 3*a^2 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 24570] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 24571] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - 
   z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - 3*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24572] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 11*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 24573] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 24574] -> 
  -1 + a^(-4) + a^4 - 4*z^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 24575] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 
   8*z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   6*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 24576] -> a^2 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 24577] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 9*z^2 - z^2/a^6 + (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 24578] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 24579] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   8*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 24580] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   7*z^2 - (5*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 24581] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24582] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24583] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 24584] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 24585] -> 
  1 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 24586] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 4*z^6 + 9*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 24587] -> 
  3 + 2/a^4 - 4/a^2 + 2*z^2 + z^2/a^6 - (5*z^2)/a^2 - 4*z^4 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*z^6 - (4*z^6)/a^4 + (12*z^6)/a^2 - z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 24588] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24589] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + 2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 24590] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + (3*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 24591] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2/a^10 + z^2/a^8 - (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 24592] -> 
  -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 24593] -> a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + z^6 - z^6/a^4, 
 Knot[14, NonAlternating, 24594] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24595] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 24596] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 18*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24597] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 24598] -> 
  -3/a^8 + 4/a^6 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24599] -> 
  1 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 19*z^4 + (9*z^4)/a^2 + 
   8*a^2*z^4 - 18*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 24600] -> -1 + a^(-4) + a^4 - 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24601] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24602] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24603] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   (6*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24604] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24605] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 24606] -> -3/a^8 + 4/a^6 + z^2/a^12 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, Knot[14, NonAlternating, 24607] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - a^4*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 24608] -> 2*a^4 - a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24609] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24610] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) - z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^6 + 
   z^4/a^4 - z^4/a^2 - z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24611] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24612] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 - 
   z^2/a^6 + (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 24613] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   2*z^2 + (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24614] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 3*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24615] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24616] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 24617] -> -4 - 5/a^4 + 10/a^2 - 9*z^2 - 
   (7*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 24618] -> -3/a^4 + 5/a^2 - a^2 - 2*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (5*z^4)/a^2 + a^4*z^4 - 2*z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 24619] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24620] -> 7 - 3/a^2 - 3*a^2 + 13*z^2 - 
   (6*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 11*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24621] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   z^2/a^4 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 24622] -> -3/a^8 + 6/a^6 - 4/a^4 + 
   2/a^2 + (9*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 + (3*z^4)/a^8 - z^4/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 24623] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24624] -> -1 + 3*a^2 - a^6 + 2*a^2*z^2 + a^4*z^2 + 
   4*z^4 - 6*a^2*z^4 + 2*a^6*z^4 + 2*z^6 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 24625] -> 
  -a^2 + 5*a^4 - 3*a^6 - 5*a^2*z^2 + 14*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 - 
   3*a^2*z^4 + 11*a^4*z^4 - a^8*z^4 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 24626] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 
   (3*z^2)/a^4 + z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 24627] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 + z^6/a^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 24628] -> -3/a^8 + 4/a^6 - (3*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 - z^2/a^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 24629] -> 2 - a^(-2) + a^2 - a^4 - 
   5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 24630] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (4*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 - z^4/a^6 - z^6/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 24631] -> -3 - 2/a^6 + 6/a^2 - 8*z^2 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (14*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24632] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - 
   z^6/a^10 + (3*z^6)/a^8 + (2*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 24633] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + z^2/a^8 + z^2/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 24634] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 + (2*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24635] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24636] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 24637] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^4 - a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 24638] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 6*a^2*z^2 + 
   16*a^4*z^2 - 6*a^6*z^2 - a^8*z^2 - 7*a^2*z^4 + 18*a^4*z^4 - 3*a^8*z^4 - 
   2*a^2*z^6 + 10*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24639] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (5*z^2)/a^12 - (10*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 + (4*z^4)/a^12 - 
   (10*z^4)/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - 
   (4*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 24640] -> a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24641] -> 
  2 - 3/a^6 + 5/a^4 - 2/a^2 - a^2 + 3*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^6 + (6*z^4)/a^4 + z^4/a^2 + z^6/a^4, 
 Knot[14, NonAlternating, 24642] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - z^4 - z^4/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24643] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   z^2/a^12 + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4, 
 Knot[14, NonAlternating, 24644] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - z^4/a^10 + 
   (4*z^4)/a^8 + (6*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 24645] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 24646] -> -a^(-8) + a^(-6) + a^(-2) + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 - z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 24647] -> 
  3 - a^(-2) - a^2 + 8*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 12*z^4 - 
   (5*z^4)/a^2 - 2*a^4*z^4 + 8*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + a^2*z^8, Knot[14, NonAlternating, 24648] -> 
  -a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 24649] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   2*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 24650] -> 
  -2 - 3/a^6 + 5/a^4 + a^2 - 5*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 - z^6 + z^6/a^4, Knot[14, NonAlternating, 24651] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 24652] -> 
  2 - a^(-2) + a^2 - a^4 + 8*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 9*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 3*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 24653] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 12*z^2 - (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 11*z^4 - z^4/a^4 + z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 3*z^6 + 
   z^6/a^2 + 2*a^2*z^6, Knot[14, NonAlternating, 24654] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 24655] -> 
  3 - a^(-4) - a^4 + 6*z^2 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^4*z^2 + 5*z^4 + z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4, 
 Knot[14, NonAlternating, 24656] -> 6 - 3/a^2 - a^2 - a^4 + 10*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 8*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 24657] -> -2 - a^(-4) + 3/a^2 + a^2 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24658] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24659] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 24660] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 24661] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + (2*z^2)/a^8 - z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + z^4/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 24662] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24663] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24664] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (18*z^4)/a^6 - (6*z^4)/a^4 - (6*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 24665] -> a^(-8) - 2/a^6 + 2/a^2 + (5*z^2)/a^8 - 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^8 - (9*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 24666] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 + (11*z^4)/a^6 + 
   z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 24667] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24668] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24669] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) + (4*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24670] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 4*a^2*z^2 - 11*a^4*z^2 + 20*a^6*z^2 - 
   10*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 24671] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - 
   a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 24672] -> 2 - a^(-2) + a^2 - a^4 + 11*z^2 - 
   (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 16*z^4 - (6*z^4)/a^2 - 2*a^4*z^4 + 
   9*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24673] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 24674] -> 
  1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 10*z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 13*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 24675] -> -3 - 3/a^6 + 2/a^4 + 5/a^2 - 
   7*z^2 - (5*z^2)/a^6 + (6*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24676] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (10*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (10*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 24677] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 24678] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 + 
   (3*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 12*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - 6*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 24679] -> -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 24680] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 24681] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + z^4 + 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24682] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^6 - (7*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 24683] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24684] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24685] -> 1 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24686] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (10*z^2)/a^10 - (20*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + 
   (8*z^4)/a^10 - (19*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 24687] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (23*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 24688] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 
   17*z^2 + z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   z^6/a^4 + (8*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24689] -> 
  2/a^14 - 9/a^12 + 8/a^10 + z^2/a^14 - (16*z^2)/a^12 + (20*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^4)/a^12 + (18*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 24690] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 11*z^2 + z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 24691] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 24692] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + 
   25*a^2*z^2 - 11*a^4*z^2 - 13*z^4 + 37*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 
   25*a^2*z^6 - 6*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24693] -> -5/a^12 + 6/a^10 - (2*z^2)/a^14 - 
   (16*z^2)/a^12 + (33*z^2)/a^10 - (3*z^4)/a^14 - (13*z^4)/a^12 + 
   (53*z^4)/a^10 - z^6/a^14 - (3*z^6)/a^12 + (35*z^6)/a^10 + (10*z^8)/a^10 + 
   z^10/a^10, Knot[14, NonAlternating, 24694] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 - 4*a^4*z^2 + 21*a^6*z^2 - 15*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 - 10*a^4*z^4 + 32*a^6*z^4 - 18*a^8*z^4 + 
   3*a^10*z^4 - 6*a^4*z^6 + 23*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - 
   a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 24695] -> 
  -2/a^14 + 2/a^12 - 2/a^10 + 3/a^8 - (3*z^2)/a^14 + z^2/a^12 + 
   (3*z^2)/a^10 + (13*z^2)/a^8 - z^4/a^14 + (10*z^4)/a^10 + (16*z^4)/a^8 + 
   (6*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 24696] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 3*z^2 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 4*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24697] -> a^(-14) - 7/a^12 + 7/a^10 - z^2/a^14 - 
   (11*z^2)/a^12 + (18*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - (4*z^4)/a^12 + 
   (19*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 24698] -> 5*a^6 - 6*a^8 + 3*a^10 - 
   a^12 - a^2*z^2 + 2*a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 
   3*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24699] -> -a^(-14) - a^(-10) + 3/a^8 - z^2/a^14 - 
   z^2/a^12 + (2*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^4)/a^10 + 
   (9*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 24700] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (10*z^2)/a^10 - (20*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + 
   (8*z^4)/a^10 - (19*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 24701] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (23*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 24702] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 
   17*z^2 + z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   z^6/a^4 + (8*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24703] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 21*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + (10*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 
   12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 24704] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24705] -> 2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 5*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + 3*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24706] -> 1 - 3*z^2 + (2*z^2)/a^2 - a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 24707] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24708] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 24709] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 
   6*z^2 + 17*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + 30*a^2*z^4 - 
   20*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + 23*a^2*z^6 - 8*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24710] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (3*z^2)/a^12 - (10*z^2)/a^10 + 
   (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^4)/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 24711] -> 
  a^6 + 2*a^8 - a^10 - a^12 + 9*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - 2*a^12*z^2 + 
   9*a^6*z^4 - 6*a^8*z^4 + 5*a^10*z^4 + 2*a^6*z^6 - 5*a^8*z^6 + a^10*z^6 - 
   a^8*z^8, Knot[14, NonAlternating, 24712] -> -4/a^12 + 4/a^10 + a^(-8) - 
   (2*z^2)/a^14 - (8*z^2)/a^12 + (16*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - 
   (3*z^4)/a^12 + (19*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 24713] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 + 
   (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 24714] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^4)/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 24715] -> 
  2*a^8 + a^12 - 2*a^14 + 11*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 3*a^14*z^2 + 
   15*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 - a^14*z^4 + 7*a^8*z^6 + 7*a^10*z^6 + 
   a^8*z^8 + a^10*z^8, Knot[14, NonAlternating, 24716] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 5*a^4*z^2 - 7*a^6*z^2 + 13*a^8*z^2 - 
   5*a^10*z^2 + 2*a^4*z^4 - 7*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 - 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 24717] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - 2*a^4*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 
   4*a^10*z^2 - 9*a^4*z^4 + 28*a^6*z^4 - 18*a^8*z^4 + 2*a^10*z^4 - 
   6*a^4*z^6 + 22*a^6*z^6 - 8*a^8*z^6 - a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 24718] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 15*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   3*z^4 + 14*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 24719] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 24720] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 24721] -> 2*a^8 + a^10 - a^12 - a^14 + 3*a^6*z^2 + 
   9*a^8*z^2 + 5*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 9*a^8*z^4 + 
   5*a^10*z^4 + a^6*z^6 + 2*a^8*z^6 + a^10*z^6, 
 Knot[14, NonAlternating, 24722] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 2*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 24723] -> 2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   7*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 24724] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 24725] -> -2 + a^(-4) + 2*a^2 - 7*z^2 + 
   z^2/a^4 + 3*a^2*z^2 - 7*z^4 + z^4/a^4 + a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 24726] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24727] -> -1 - a^(-6) + 3/a^2 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 24728] -> -3/a^8 + 5/a^6 - 2/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + (21*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + (23*z^4)/a^6 - (11*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 24729] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^8 + (5*z^4)/a^6 - 
   (24*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 24730] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 24731] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 24732] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 15*z^2 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 21*z^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + 11*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24733] -> 5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 - 3*a^4*z^4 + 12*a^6*z^4 - 2*a^10*z^4 - a^4*z^6 + 
   5*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 24734] -> 4 - a^(-4) - 2*a^2 + 10*z^2 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 24735] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (5*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 24736] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 24737] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 
   2*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 
   8*a^4*z^4 - 2*a^6*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 24738] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 24739] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[14, NonAlternating, 24740] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 24741] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - 
   a^6 + 9*z^2 - (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 24742] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24743] -> 
  2*a^4 - a^8 - a^2*z^2 + 5*a^4*z^2 + a^8*z^2 - a^10*z^2 - a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 24744] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 4*z^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 24745] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   z^2/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 24746] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 - 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + (2*z^4)/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 24747] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24748] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - z^2 + 
   3*a^2*z^2 + a^8*z^2 - z^4 + 2*a^2*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 24749] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24750] -> -2 + 2/a^2 + a^4 - 9*z^2 + (4*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 3*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24751] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 
   2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 
   10*a^4*z^4 + 4*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 24752] -> 2*a^2 - a^4 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 24753] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   5*z^2 + z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24754] -> 2*a^2 - a^4 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24755] -> 1 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - z^6 + 10*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 24756] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 24757] -> 3*a^8 - a^10 - a^14 + 17*a^8*z^2 - 
   3*a^10*z^2 - a^14*z^2 + 20*a^8*z^4 - a^10*z^4 + 8*a^8*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 24758] -> a^6 + 3*a^8 - 3*a^10 + 5*a^4*z^2 - 
   3*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + 7*a^8*z^4 + 
   a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 24759] -> 2*a^2 - a^4 + 6*a^2*z^2 - 6*a^4*z^2 - 
   4*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 - 9*a^6*z^4 + 
   6*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 24760] -> 1 + 2*a^2 - 3*a^4 + a^8 - 2*z^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 6*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 - z^6 + 5*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^2*z^8 + 
   a^4*z^8, Knot[14, NonAlternating, 24761] -> 
  3*a^6 - a^8 - a^10 + 5*a^6*z^2 + 7*a^8*z^2 - 5*a^10*z^2 - 2*a^6*z^4 + 
   20*a^8*z^4 - 8*a^10*z^4 - 4*a^6*z^6 + 18*a^8*z^6 - 5*a^10*z^6 - a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 24762] -> 
  5*a^10 - 3*a^12 - a^14 + 31*a^10*z^2 - 11*a^12*z^2 - 4*a^14*z^2 + 
   52*a^10*z^4 - 9*a^12*z^4 - 4*a^14*z^4 + 35*a^10*z^6 - 2*a^12*z^6 - 
   a^14*z^6 + 10*a^10*z^8 + a^10*z^10, Knot[14, NonAlternating, 24763] -> 
  3/a^16 - 12/a^14 + 10/a^12 + (9*z^2)/a^16 - (56*z^2)/a^14 + (65*z^2)/a^12 + 
   (6*z^4)/a^16 - (77*z^4)/a^14 + (132*z^4)/a^12 + z^6/a^16 - (44*z^6)/a^14 + 
   (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 24764] -> 
  -3/a^10 + 3/a^8 + a^(-6) - (8*z^2)/a^10 + (15*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^4)/a^10 + (17*z^4)/a^8 + z^4/a^6 - z^6/a^10 + (7*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 24765] -> -5/a^6 + 9/a^4 - 3/a^2 - (12*z^2)/a^6 + 
   (29*z^2)/a^4 - (11*z^2)/a^2 - (13*z^4)/a^6 + (38*z^4)/a^4 - (13*z^4)/a^2 - 
   (6*z^6)/a^6 + (25*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - 
   z^8/a^2 + z^10/a^4, Knot[14, NonAlternating, 24766] -> 
  3/a^8 - 8/a^6 + 6/a^4 + (7*z^2)/a^8 - (18*z^2)/a^6 + (11*z^2)/a^4 + 
   (5*z^4)/a^8 - (17*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 24767] -> 
  7 - 3/a^2 - 3*a^2 + 23*z^2 - (10*z^2)/a^2 - 10*a^2*z^2 + 34*z^4 - 
   (12*z^4)/a^2 - 12*a^2*z^4 + 24*z^6 - (6*z^6)/a^2 - 6*a^2*z^6 + 8*z^8 - 
   z^8/a^2 - a^2*z^8 + z^10, Knot[14, NonAlternating, 24768] -> 
  4*a^6 - 3*a^8 + 8*a^6*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 
   5*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 24769] -> 
  6*a^10 - 5*a^12 + 8*a^8*z^2 + 17*a^10*z^2 - 8*a^12*z^2 - 2*a^14*z^2 + 
   14*a^8*z^4 + 19*a^10*z^4 - 3*a^12*z^4 - a^14*z^4 + 7*a^8*z^6 + 
   8*a^10*z^6 + a^8*z^8 + a^10*z^8, Knot[14, NonAlternating, 24770] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - (4*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 24771] -> 4/a^8 - 10/a^6 + 7/a^4 + z^2/a^10 + 
   (7*z^2)/a^8 - (22*z^2)/a^6 + (13*z^2)/a^4 + z^4/a^10 + (3*z^4)/a^8 - 
   (20*z^4)/a^6 + (7*z^4)/a^4 - (8*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 24772] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24773] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24774] -> 
  -1 - 2/a^4 + 4/a^2 + 3*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 24775] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 - z^4/a^6 + (9*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 24776] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (5*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^8 - 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 24777] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24778] -> a^(-16) - 4/a^14 + 4/a^10 + z^2/a^16 - 
   (9*z^2)/a^14 - (5*z^2)/a^12 + (29*z^2)/a^10 - (6*z^4)/a^14 - 
   (5*z^4)/a^12 + (51*z^4)/a^10 - z^6/a^14 - z^6/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 24779] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - z^4/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 24780] -> 5 - 2/a^2 - 2*a^2 + 4*z^2 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 - 3*z^4 - z^4/a^2 + 19*a^2*z^4 - 8*a^4*z^4 - 4*z^6 + 
   18*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24781] -> -2 + a^(-4) + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 24782] -> -a^(-14) - 2/a^12 + 3/a^10 + 
   a^(-8) - (2*z^2)/a^14 - (6*z^2)/a^12 + (14*z^2)/a^10 + (9*z^2)/a^8 - 
   z^4/a^14 - (3*z^4)/a^12 + (18*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 24783] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - 
   z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24784] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24785] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24786] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4 + z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24787] -> a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^2 + z^4/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 24788] -> 
  7 - 3/a^2 - 3*a^2 + 17*z^2 - (2*z^2)/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 
   19*z^4 - (3*z^4)/a^4 + z^4/a^2 - 7*a^2*z^4 + 10*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24789] -> 4 + 3/a^4 - 6/a^2 + 9*z^2 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (18*z^2)/a^2 + 7*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (20*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (10*z^6)/a^2 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 24790] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 - z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 - z^4/a^6 + (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 24791] -> 
  a^4 + 2*a^8 - 2*a^10 - 2*a^4*z^2 + 11*a^6*z^2 - 2*a^10*z^2 - 7*a^4*z^4 + 
   22*a^6*z^4 - 6*a^8*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 5*a^8*z^6 - a^4*z^8 + 
   7*a^6*z^8 - a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 24792] -> 
  4 - 2/a^2 - a^4 + 2*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 - 4*z^4 - 
   z^4/a^2 + 23*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24793] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24794] -> 
  -3/a^4 + 5/a^2 - a^2 + 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - 5*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24795] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 5*z^2 + 
   z^2/a^8 - (3*z^2)/a^4 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 24796] -> 
  a^4 + a^6 - a^10 - 2*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24797] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (2*z^2)/a^12 + (8*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 24798] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 7*z^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 24799] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) + (2*z^2)/a^10 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 24800] -> 1 + a^2 - a^4 - a^6 + a^8 - 
   4*z^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 
   3*a^6*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24801] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24802] -> -1 + 2/a^2 - a^2 + a^6 - z^2 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + z^4 - 11*a^2*z^4 + 
   2*a^4*z^4 + z^6 - 5*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 24803] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 
   4*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24804] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 24805] -> 4*a^6 - 3*a^8 + a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - a^10*z^2 - a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - 
   2*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 24806] -> 8*a^10 - 9*a^12 + 2*a^14 + 
   3*a^8*z^2 + 29*a^10*z^2 - 19*a^12*z^2 + 9*a^8*z^4 + 34*a^10*z^4 - 
   10*a^12*z^4 - a^14*z^4 + 6*a^8*z^6 + 15*a^10*z^6 - a^12*z^6 + a^8*z^8 + 
   2*a^10*z^8, Knot[14, NonAlternating, 24807] -> 
  5 - 2/a^2 - 2*a^2 + 9*z^2 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 24808] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - z^2/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^4, Knot[14, NonAlternating, 24809] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - 
   (5*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24810] -> -a^(-8) + 2/a^4 + z^2 - z^2/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24811] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   z^2/a^10 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 + 
   z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 24812] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24813] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^4 + 
   z^4/a^10 + z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - 
   z^8/a^6, Knot[14, NonAlternating, 24814] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24815] -> 
  3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^2 - a^4*z^2 + 4*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 24816] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24817] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   z^2/a^14 - (12*z^2)/a^12 + (19*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - 
   (5*z^4)/a^12 + (22*z^4)/a^10 + (13*z^4)/a^8 + (9*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 24818] -> 
  -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (10*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (7*z^4)/a^10 - (11*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 24819] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   4*z^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24820] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 24821] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 9*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 24822] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   z^4 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 24823] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 2*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24824] -> 5*a^6 - 5*a^8 + a^10 - a^4*z^2 + 
   11*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 2*a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - 
   2*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 24825] -> 7*a^10 - 7*a^12 + a^14 + 
   5*a^8*z^2 + 25*a^10*z^2 - 16*a^12*z^2 + 10*a^8*z^4 + 30*a^10*z^4 - 
   9*a^12*z^4 - a^14*z^4 + 6*a^8*z^6 + 14*a^10*z^6 - a^12*z^6 + a^8*z^8 + 
   2*a^10*z^8, Knot[14, NonAlternating, 24826] -> 
  -3/a^10 + 3/a^8 + a^(-6) - (4*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 + z^4/a^4 + z^6/a^8, 
 Knot[14, NonAlternating, 24827] -> 3 - a^(-2) - a^2 + 4*z^2 - z^2/a^4 - 
   2*a^2*z^2 + 4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24828] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 - 
   (3*z^2)/a^14 - (13*z^2)/a^12 + (25*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^14 - 
   (7*z^4)/a^12 + (31*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 24829] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 + (9*z^4)/a^10 - (19*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 24830] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 3*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 - 2*a^2*z^2 + z^4 - (6*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 24831] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   z^2/a^14 - (7*z^2)/a^12 + (9*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - 
   z^4/a^12 + (9*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 24832] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (5*z^2)/a^10 - (6*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 24833] -> -a^(-8) + 2/a^4 - z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 24834] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - 
   (4*z^2)/a^14 - (7*z^2)/a^12 + (18*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (20*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 24835] -> 
  -3/a^8 + 4/a^6 - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 24836] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 - (5*z^4)/a^2 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24837] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24838] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 24839] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   2*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 24840] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 24841] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   (9*z^2)/a^12 + (10*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^12 + 
   (8*z^4)/a^10 + (18*z^4)/a^8 + (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 24842] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 24843] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) + (5*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 24844] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 2*z^2 + z^2/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 24845] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 24846] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24847] -> 
  -1 + 3*a^2 - a^6 - (2*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 24848] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + z^2/a^10 + (5*z^2)/a^8 - (13*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (12*z^4)/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 24849] -> -2/a^8 + 2/a^6 + a^(-4) - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^2 - (6*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24850] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - 
   (4*z^2)/a^14 - (5*z^2)/a^12 + (16*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (19*z^4)/a^10 + (14*z^4)/a^8 + (8*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 24851] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 + z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   z^6/a^4, Knot[14, NonAlternating, 24852] -> -1 - 2/a^4 + 4/a^2 + z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24853] -> 3 - a^(-2) - a^2 + 5*z^2 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24854] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24855] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 24856] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24857] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + z^4 - z^4/a^6 - (5*z^4)/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24858] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^6 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24859] -> 
  -4/a^12 + 4/a^10 + a^(-8) - z^2/a^14 - (4*z^2)/a^12 + (8*z^2)/a^10 + 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (6*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 24860] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 24861] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 24862] -> -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24863] -> -3 + 8*a^2 - 4*a^4 - 14*z^2 + 
   30*a^2*z^2 - 10*a^4*z^2 - 2*a^6*z^2 - 14*z^4 + 41*a^2*z^4 - 10*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + 26*a^2*z^6 - 5*a^4*z^6 - z^8 + 8*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 24864] -> 
  -2 + 6*a^2 - 3*a^4 - (4*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 24865] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24866] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   z^2/a^16 - (7*z^2)/a^14 - (6*z^2)/a^12 + (23*z^2)/a^10 + (4*z^2)/a^8 - 
   (5*z^4)/a^14 - z^4/a^12 + (32*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (3*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 24867] -> -a^(-12) + 3/a^10 - 6/a^8 + 
   5/a^6 - z^2/a^12 + (9*z^2)/a^10 - (20*z^2)/a^8 + (20*z^2)/a^6 - 
   (2*z^2)/a^4 + (6*z^4)/a^10 - (24*z^4)/a^8 + (27*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^10 - (12*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 24868] -> 
  -3 + 3/a^2 + a^2 - 2*a^4 + 2*a^6 - 12*z^2 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24869] -> 5*a^4 - 6*a^6 + 2*a^8 - a^2*z^2 + 
   9*a^4*z^2 - 9*a^6*z^2 + a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 
   6*a^6*z^4 - a^8*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 24870] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 24871] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24872] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (3*z^6)/a^8, Knot[14, NonAlternating, 24873] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - (5*z^2)/a^10 + (11*z^2)/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 24874] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + z^4/a^2 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 24875] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 24876] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 + (10*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 24877] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 4*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24878] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24879] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (5*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 + (7*z^4)/a^10 - (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 24880] -> 2/a^10 - 5/a^8 + 2/a^6 + 
   2/a^4 + (3*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 24881] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   z^6/a^10 - (3*z^6)/a^8, Knot[14, NonAlternating, 24882] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 24883] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^8 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24884] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - (4*z^2)/a^14 - z^2/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 24885] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) + (5*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^10 - (9*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24886] -> 
  -3 + 3/a^2 + a^2 - a^4 + a^8 - 6*z^2 + (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 3*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 24887] -> a^2 + a^6 - a^8 + 2*z^2 - 2*a^2*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 - 7*a^2*z^4 + 2*a^6*z^4 + z^6 - 5*a^2*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 24888] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24889] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24890] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 5*z^2 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 2*z^4 - (5*z^4)/a^4 + 
   (16*z^4)/a^2 - 2*a^2*z^4 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 24891] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (3*z^2)/a^10 - z^2/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 24892] -> -2/a^6 + 3/a^4 - 4*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 8*z^4 - z^4/a^6 - (3*z^4)/a^4 + (19*z^4)/a^2 - 
   5*z^6 - (4*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 24893] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 - (8*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   14*z^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 6*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 24894] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^6 - z^2/a^4 + a^2*z^2 + z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 24895] -> 
  2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 - z^2 + 6*a^2*z^2 - 15*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 24896] -> 
  2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 + 7*a^2*z^2 - 21*a^4*z^2 + 31*a^6*z^2 - 
   13*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 27*a^4*z^4 + 37*a^6*z^4 - 
   15*a^8*z^4 + a^10*z^4 + a^2*z^6 - 13*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - 
   2*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 24897] -> a^(-2) - a^2 + 2*a^6 - a^8 + z^2 - 
   z^2/a^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 7*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24898] -> -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 2*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24899] -> -a^(-8) + 2/a^4 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24900] -> 
  3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24901] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 10*z^2 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 24902] -> a^2 + a^6 - a^8 - z^2 + a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 24903] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + z^2/a^6 + z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 24904] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - a^6*z^2 + 2*z^4 + (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 24905] -> a^(-16) - 3/a^14 + 2/a^10 + 
   a^(-6) - (5*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 24906] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 24907] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24908] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + (3*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - z^4 + z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^6 + z^6/a^2, Knot[14, NonAlternating, 24909] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 24910] -> a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - 
   z^2/a^14 - (5*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (6*z^4)/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 24911] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   3/a^4 + (5*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 24912] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24913] -> -1 + 2/a^2 - a^2 + a^6 - 7*z^2 + 
   (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 
   5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 24914] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 
   3*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24915] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   5*a^2*z^2 + a^4*z^2 + 7*z^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24916] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 - z^4 - 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 24917] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 24918] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 7*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - z^6, Knot[14, NonAlternating, 24919] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (4*z^2)/a^14 - (3*z^2)/a^12 + 
   (9*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - z^4/a^14 + z^4/a^12 + 
   (12*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 24920] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 24921] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   z^4/a^8 + z^4/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 24922] -> 
  -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (8*z^4)/a^10 - (13*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 24923] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24924] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 
   16*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 21*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 24925] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 24926] -> 
  -7 + 4/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 22*z^2 + (6*z^2)/a^2 + 21*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 14*a^4*z^4 + 
   a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24927] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (5*z^4)/a^6 - (4*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 24928] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   7*z^2 + z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 4*z^4 + 
   8*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24929] -> 2/a^4 - 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 + 
   z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 
   4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24930] -> 4 + 3/a^4 - 6/a^2 + 9*z^2 - z^2/a^6 + 
   (7*z^2)/a^4 - (16*z^2)/a^2 - 2*a^2*z^2 + 9*z^4 + (4*z^4)/a^4 - 
   (13*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (4*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24931] -> -1 + 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 
   a^8 - 4*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4 - 6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 24932] -> -1 + 2/a^2 - a^2 + a^4 - a^6 + 
   a^8 - 5*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   4*z^4 + a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 24933] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 24934] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 24935] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + 
   (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24936] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - z^4 + 8*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 24937] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 - z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 
   8*z^4 - (7*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - 
   z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 24938] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^4)/a^12 + (3*z^4)/a^10 - (15*z^4)/a^8 + (12*z^4)/a^6 + 
   z^6/a^12 - (2*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 24939] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - 2*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 
   3*z^4 - 6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 24940] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 - z^2 - z^2/a^6 + (5*z^2)/a^4 - 3*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 24941] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + z^2 + z^2/a^6 + (5*z^2)/a^4 - 
   (11*z^2)/a^2 + 2*a^2*z^2 - z^4 + z^4/a^6 - (10*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^4 - (3*z^6)/a^2, Knot[14, NonAlternating, 24942] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 24943] -> a^(-2) - a^4 + a^6 - 5*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 24944] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 
   z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 24945] -> -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   z^8/a^4, Knot[14, NonAlternating, 24946] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - 
   z^2/a^8 + z^2/a^4 + (6*z^2)/a^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 + (7*z^4)/a^2 + (2*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 24947] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 24948] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 24949] -> 
  3 - 3*a^2 + a^6 + z^2 + z^2/a^2 - 6*a^2*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 
   5*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 24950] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^8 + 
   z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 24951] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 + z^2/a^4 + a^2*z^2 - a^4*z^2 - 
   4*z^4 + z^4/a^4 - z^4/a^2 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 24952] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24953] -> -1 + a^(-4) + a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 17*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 24954] -> 
  2 - a^2 - a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 16*a^4*z^4 + 5*a^6*z^4 - 4*z^6 + 
   14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 24955] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 24956] -> 
  -2 + 2/a^2 + a^4 - 9*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + (4*z^4)/a^4 + z^4/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   9*z^6 + z^6/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 24957] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 24958] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 
   13*a^6*z^2 - 11*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 12*a^6*z^4 - 
   10*a^8*z^4 + 3*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 - 3*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 24959] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 21*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + z^4/a^6 - 
   (16*z^4)/a^4 + (38*z^4)/a^2 + 4*a^2*z^4 - 12*z^6 - (7*z^6)/a^4 + 
   (25*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 24960] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (25*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (36*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 24961] -> 
  a^(-14) - 7/a^12 + 7/a^10 + z^2/a^14 - (15*z^2)/a^12 + (20*z^2)/a^10 + 
   (8*z^2)/a^8 - (8*z^4)/a^12 + (20*z^4)/a^10 + (14*z^4)/a^8 - z^6/a^12 + 
   (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 24962] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 - (13*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 + 
   (8*z^4)/a^10 - (14*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - 
   (7*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 24963] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + 
   (7*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 24964] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24965] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (14*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (6*z^4)/a^10 - (13*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 24966] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (9*z^2)/a^4 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24967] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24968] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 8*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 24969] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   4*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 3*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 24970] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 24971] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 24972] -> -3/a^12 + 5/a^10 - 4/a^8 + 3/a^6 - 
   (6*z^2)/a^12 + (22*z^2)/a^10 - (23*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^4)/a^12 + (24*z^4)/a^10 - (38*z^4)/a^8 + (20*z^4)/a^6 + 
   (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + z^8/a^10 - (9*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 24973] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (27*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (36*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 24974] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (25*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (35*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 24975] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (7*z^4)/a^10 - (9*z^4)/a^8 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 24976] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24977] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 24978] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 + 6*a^2*z^4 - 15*a^4*z^4 + 14*a^6*z^4 - 2*a^8*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 + 7*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 24979] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   7*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24980] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 24981] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 24982] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - z^2 + 9*a^2*z^2 - 19*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 24983] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24984] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 + 
   a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + 2*z^4 - 11*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + z^6 - 2*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[14, NonAlternating, 24985] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - z^2/a^6 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 24986] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^10 - 
   (9*z^2)/a^8 + (18*z^2)/a^6 - (3*z^2)/a^4 - (8*z^4)/a^8 + (19*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 24987] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 - a^2*z^2 + 3*a^4*z^2 + 10*a^6*z^2 - 
   10*a^8*z^2 + 4*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 + 
   a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 24988] -> 
  1 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^4, 
 Knot[14, NonAlternating, 24989] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 24990] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   22*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 11*a^2*z^2 - a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 24991] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 - z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 24992] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 24993] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 24994] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 24995] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 
   2*a^4 + 3*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 24996] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 24997] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   6*z^2 - z^2/a^2 + 2*a^2*z^2 + (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 24998] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 11*z^2 + z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 24999] -> 
  -a^4 + 6*a^6 - 4*a^8 - 2*a^2*z^2 + 17*a^6*z^2 - 8*a^8*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 19*a^6*z^4 - 7*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 25000] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 11*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^2 + (2*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[14, NonAlternating, 25001] -> -a^2 + 4*a^4 - 2*a^6 + a^8 - a^10 - z^2 - 
   a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 7*a^4*z^4 + 3*a^6*z^4 - 
   2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 25002] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   6*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 18*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 25003] -> a^2 + a^4 - 2*a^8 + a^10 - 2*a^2*z^2 + 
   5*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 6*a^4*z^6 + a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 25004] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   5*z^2 + z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + z^4/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25005] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   9*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25006] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 25007] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 7*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 25008] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 11*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 8*z^4 + z^4/a^2 + 9*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25009] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + z^2/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 21*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 25010] -> 1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   2*z^4 + 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 25011] -> 
  -2 + a^(-4) + 2*a^2 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 25012] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 12*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   5*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 25013] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - 6*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 3*z^6 + 3*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25014] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 - a^4*z^4 + 
   2*a^6*z^4 - 4*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 25015] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 5*z^2 + z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25016] -> 
  a^(-14) - 7/a^12 + 7/a^10 - (11*z^2)/a^12 + (16*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (4*z^4)/a^12 + (14*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 25017] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25018] -> 
  -3 + 2/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 25019] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 25020] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   12*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25021] -> -a^(-14) - 3/a^12 + 5/a^10 - 
   (2*z^2)/a^14 - (9*z^2)/a^12 + (21*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^14 - 
   (6*z^4)/a^12 + (27*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 25022] -> 
  -3/a^8 + 4/a^6 + (4*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (6*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25023] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + 
   (8*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25024] -> -5/a^12 + 6/a^10 - z^2/a^14 - 
   (6*z^2)/a^12 + (13*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^12 + 
   (10*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 25025] -> a^(-10) - 5/a^8 + 5/a^6 + 
   (3*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 25026] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (5*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25027] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + 
   z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25028] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (4*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25029] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (4*z^2)/a^14 - (2*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^14 + z^4/a^12 + (13*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 25030] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 
   3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 25031] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25032] -> 
  -a^(-8) + 2/a^4 - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + (7*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 25033] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25034] -> -2 + 2/a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 25035] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 25036] -> 3*a^4 - 2*a^6 - z^2/a^4 + 2*a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - z^6 - 
   a^2*z^6, Knot[14, NonAlternating, 25037] -> -5/a^12 + 6/a^10 - z^2/a^14 - 
   (13*z^2)/a^12 + (24*z^2)/a^10 + (5*z^2)/a^8 - z^4/a^14 - (8*z^4)/a^12 + 
   (30*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^12 + (14*z^6)/a^10 + (6*z^6)/a^8 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 25038] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 25039] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (7*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + (8*z^4)/a^10 - 
   (17*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25040] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 25041] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (10*z^2)/a^10 - 
   (15*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - (20*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 25042] -> 
  3 - a^(-2) - a^2 + 2*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 25043] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   5*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 3*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 25044] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 38*z^4 - z^4/a^4 + (17*z^4)/a^2 + 24*a^2*z^4 - 
   4*a^4*z^4 - 25*z^6 + (7*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 8*z^8 + 
   z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 25045] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 3*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 
   11*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 25046] -> 
  -5 + 3/a^2 + 3*a^2 - 10*z^2 - z^2/a^6 + (3*z^2)/a^4 + 7*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 25047] -> a^2 + a^6 - a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 25048] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25049] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 4*z^4 - z^4/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - z^6 + 
   11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 25050] -> 
  -5 + 3/a^2 + 3*a^2 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 25051] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 7*z^4 - z^4/a^4 + (7*z^4)/a^2 + a^4*z^4 - 5*z^6 + (2*z^6)/a^2 - 
   z^8, Knot[14, NonAlternating, 25052] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 6*z^2 + z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + 
   z^4/a^4 - z^4/a^2 + 6*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 25053] -> -4/a^12 + 4/a^10 + a^(-8) - z^2/a^14 - 
   (5*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^12 + 
   (8*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 25054] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 25055] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (5*z^2)/a^10 - (4*z^2)/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25056] -> -2 + a^(-2) + 3*a^2 - a^4 - 16*z^2 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^4 + (6*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 25057] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 4*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25058] -> 3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25059] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25060] -> 1 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25061] -> -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25062] -> 1 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 6*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 + 
   3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25063] -> 2*a^4 - a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - 2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 25064] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 25065] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25066] -> a^2 + a^4 - a^6 + 4*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 - 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 25067] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25068] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (24*z^4)/a^6 - (7*z^4)/a^4 - (6*z^6)/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 25069] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (12*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (9*z^4)/a^8 + (25*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 25070] -> -a^(-4) + 2/a^2 - 5*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 25071] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 8*z^2 - 
   z^2/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 - (8*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 25072] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25073] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 8*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 + 7*a^2*z^4 - 22*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 25074] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (9*z^6)/a^4 + (14*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25075] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, Knot[14, NonAlternating, 25076] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25077] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   11*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 5*z^6 + (2*z^6)/a^2 + a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 25078] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + 
   (10*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 25079] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 25080] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 7*z^4 + z^4/a^2 + 9*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   5*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25081] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 
   5*a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 25082] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (2*z^4)/a^8 + 
   (3*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 25083] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   z^2/a^16 - (8*z^2)/a^14 - (5*z^2)/a^12 + (24*z^2)/a^10 + (3*z^2)/a^8 - 
   (6*z^4)/a^14 + z^4/a^12 + (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 25084] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25085] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   2*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - a^2*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 25086] -> 4*a^10 - a^12 - 2*a^14 + 
   30*a^10*z^2 - 8*a^12*z^2 - 5*a^14*z^2 + 52*a^10*z^4 - 8*a^12*z^4 - 
   4*a^14*z^4 + 35*a^10*z^6 - 2*a^12*z^6 - a^14*z^6 + 10*a^10*z^8 + 
   a^10*z^10, Knot[14, NonAlternating, 25087] -> 
  a^8 + 2*a^10 - 2*a^14 + 10*a^8*z^2 + 11*a^10*z^2 - 2*a^12*z^2 - 
   3*a^14*z^2 + 15*a^8*z^4 + 15*a^10*z^4 - a^12*z^4 - a^14*z^4 + 7*a^8*z^6 + 
   7*a^10*z^6 + a^8*z^8 + a^10*z^8, Knot[14, NonAlternating, 25088] -> 
  5*a^10 - 3*a^12 - a^14 + 8*a^8*z^2 + 17*a^10*z^2 - 7*a^12*z^2 - 
   2*a^14*z^2 + 14*a^8*z^4 + 19*a^10*z^4 - 3*a^12*z^4 - a^14*z^4 + 
   7*a^8*z^6 + 8*a^10*z^6 + a^8*z^8 + a^10*z^8, 
 Knot[14, NonAlternating, 25089] -> a^8 + 3*a^10 - 2*a^12 - a^14 + 
   3*a^6*z^2 + 9*a^8*z^2 + 6*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 
   9*a^8*z^4 + 5*a^10*z^4 + a^6*z^6 + 2*a^8*z^6 + a^10*z^6, 
 Knot[14, NonAlternating, 25090] -> -1 + a^(-2) + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25091] -> 1 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 25092] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 25093] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 3*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   14*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 
   2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25094] -> 2 - a^2 - a^4 + a^6 + z^2/a^2 + a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 - 2*z^4 + 3*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25095] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 12*z^2 - 
   (13*z^2)/a^4 + (27*z^2)/a^2 - 13*z^4 - (13*z^4)/a^4 + (38*z^4)/a^2 - 
   6*z^6 - (6*z^6)/a^4 + (25*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 25096] -> 
  2*a^2 - a^4 - 3*z^2 - z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 25097] -> 2 - a^(-2) + a^2 - a^4 + z^2 - 
   z^2/a^4 + 5*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25098] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 25099] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (22*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25100] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25101] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 6*a^2*z^4 - 9*a^4*z^4 + 
   4*a^6*z^4 + 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25102] -> 2*a^4 - a^8 - z^2 + 3*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + 5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25103] -> a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 25104] -> 
  2*a^2 - a^4 - 4*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   5*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25105] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - (21*z^4)/a^4 + 
   (8*z^4)/a^2 + (6*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 25106] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (14*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 25107] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - a^4*z^2 + 7*a^6*z^2 + 10*a^8*z^2 - 
   6*a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 
   4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 25108] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + 
   (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 25109] -> 
  6*a^10 - 5*a^12 + 7*a^8*z^2 + 20*a^10*z^2 - 11*a^12*z^2 - a^14*z^2 + 
   13*a^8*z^4 + 22*a^10*z^4 - 5*a^12*z^4 - a^14*z^4 + 7*a^8*z^6 + 
   9*a^10*z^6 + a^8*z^8 + a^10*z^8, Knot[14, NonAlternating, 25110] -> 
  4*a^6 - 3*a^8 - 3*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 - 5*a^4*z^4 + 
   16*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + 2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 25111] -> 
  5*a^8 - 4*a^10 + a^4*z^2 + a^6*z^2 + 15*a^8*z^2 - 7*a^10*z^2 - a^4*z^4 + 
   3*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 25112] -> 
  a^4 + a^6 - a^10 - 2*a^4*z^2 + 10*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 - 
   5*a^4*z^4 + 15*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 25113] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 25114] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   4*a^4*z^2 + a^6*z^2 + a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 25115] -> 
  -1 + a^(-4) + a^4 + z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^4 - 3*a^2*z^4 + 2*z^6 + z^6/a^2, Knot[14, NonAlternating, 25116] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25117] -> a^2 + a^8 - a^10 + 6*a^6*z^2 - 
   2*a^8*z^2 - 2*a^2*z^4 + 11*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   8*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 25118] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 2*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25119] -> 
  -a^4 + 4*a^6 - 2*a^10 - 2*a^4*z^2 + 10*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 - 
   3*a^4*z^4 + 10*a^6*z^4 + 9*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 5*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 25120] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (13*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 25121] -> 2*a^6 + a^8 - 2*a^10 + a^4*z^2 + 
   6*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 25122] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + z^2/a^12 - z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - (5*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 25123] -> 
  2*a^8 + 2*a^10 - 3*a^12 + 2*a^6*z^2 + 10*a^8*z^2 + 6*a^10*z^2 - 
   4*a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 10*a^8*z^4 + 6*a^10*z^4 + a^6*z^6 + 
   2*a^8*z^6 + a^10*z^6, Knot[14, NonAlternating, 25124] -> 
  -a^2 + 5*a^4 - 3*a^6 - 4*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 4*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 25125] -> -1 - 4/a^6 + 6/a^4 - z^2 - (8*z^2)/a^6 + 
   (19*z^2)/a^4 - (4*z^2)/a^2 - (5*z^4)/a^6 + (18*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 25126] -> -a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - (2*z^4)/a^8 - (2*z^4)/a^6 + (14*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (9*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4, Knot[14, NonAlternating, 25127] -> 
  2*a^4 - a^8 - a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 - 7*a^4*z^4 + 21*a^6*z^4 - 
   8*a^8*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 5*a^8*z^6 - a^4*z^8 + 7*a^6*z^8 - 
   a^8*z^8 + a^6*z^10, Knot[14, NonAlternating, 25128] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 8*z^4 - 
   (8*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 25129] -> 
  -5 + 3/a^2 + 3*a^2 - 18*z^2 - z^2/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 25130] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 4*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25131] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 
   a^2*z^2 + 4*a^4*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25132] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - a^2*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25133] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 25134] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 + (3*z^4)/a^12 - 
   (5*z^4)/a^10 - (5*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 25135] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + 
   (2*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (3*z^4)/a^10 - 
   z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (2*z^6)/a^8 - (3*z^6)/a^6, 
 Knot[14, NonAlternating, 25136] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25137] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 + (3*z^4)/a^12 - 
   (7*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 25138] -> 4 - 7*a^2 + 5*a^4 - a^6 + 8*z^2 - 
   19*a^2*z^2 + 9*a^4*z^2 + 7*z^4 - 20*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 + 
   2*z^6 - 10*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25139] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 25140] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   z^4 + z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 25141] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 3*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 - 
   a^4*z^6 + 3*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 25142] -> -2*a^4 + 8*a^6 - 5*a^8 - 6*a^4*z^2 + 
   23*a^6*z^2 - 8*a^8*z^2 - a^10*z^2 - 8*a^4*z^4 + 28*a^6*z^4 - 8*a^8*z^4 - 
   5*a^4*z^6 + 19*a^6*z^6 - 5*a^8*z^6 - a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 25143] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 25144] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (20*z^2)/a^2 - 8*z^4 - (3*z^4)/a^6 + 
   (22*z^4)/a^2 - 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25145] -> 
  -a^2 + 3*a^4 - a^10 - 3*a^2*z^2 + 8*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   3*a^2*z^4 + 7*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25146] -> 1 - a^(-8) - a^(-6) + 5/a^4 - 3/a^2 - 
   z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - z^4 - z^4/a^8 + 
   (8*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25147] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 - z^2/a^8 + (3*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25148] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 - (4*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 25149] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 25150] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 21*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 29*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25151] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (9*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25152] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 25153] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 25154] -> -2*a^4 + 9*a^6 - 7*a^8 + 
   a^10 - 7*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 - 2*a^10*z^2 - 7*a^4*z^4 + 
   24*a^6*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 11*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 
   2*a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 25155] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 3*a^4*z^2 - 2*a^6*z^2 + 10*a^8*z^2 - 
   4*a^10*z^2 - a^4*z^4 + 2*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 - a^4*z^6 + 
   3*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 25156] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 25157] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) - (4*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^8 - 
   z^4/a^6 + (7*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25158] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*a^2*z^2 + 
   6*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 
   8*a^6*z^4 - a^10*z^4 + 2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 25159] -> 1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 - z^2 + 
   10*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 
   30*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 20*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 25160] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 
   8*z^2 - z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 11*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25161] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 5*z^2 - 
   z^2/a^2 - 6*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 25162] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25163] -> 
  1 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25164] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 25165] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 25166] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^6)/a^6, Knot[14, NonAlternating, 25167] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - (9*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 25168] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 25169] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 - (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 25170] -> 
  2 + a^(-4) - 2/a^2 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25171] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + a^2*z^2 + 11*a^6*z^2 - 13*a^8*z^2 + 
   6*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 13*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 25172] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 + 
   (9*z^4)/a^6 - (22*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (11*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 25173] -> 
  -a^(-10) + a^(-6) + a^(-4) - (5*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 - 
   (7*z^4)/a^8 + (17*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25174] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 + 
   z^2/a^4 - a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25175] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 
   2*z^2 + (6*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 25176] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 25177] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^6 - z^2/a^4 - a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 25178] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^2 - 
   z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25179] -> -a^4 + 4*a^6 - 2*a^10 + a^2*z^2 - 
   2*a^4*z^2 + 10*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 25180] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 - 
   (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 25181] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (6*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 25182] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 + 4*a^2*z^2 - 2*z^4 + 4*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 
   2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 25183] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 25184] -> 
  2 + a^(-4) - 2/a^2 - 3*z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^4 + a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 25185] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 6*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 25186] -> -a^(-8) - 2/a^6 + 6/a^4 - 
   2/a^2 - z^2/a^8 - (5*z^2)/a^6 + (19*z^2)/a^4 - (7*z^2)/a^2 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (20*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + 
   (10*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4, 
 Knot[14, NonAlternating, 25187] -> 2*a^4 - a^8 + 2*a^4*z^2 + 3*a^6*z^2 - 
   a^10*z^2 - a^2*z^4 + a^4*z^4 + 4*a^6*z^4 + a^8*z^4 - a^10*z^4 + a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 25188] -> 
  -3/a^8 + 4/a^6 - z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - z^4/a^10 + z^4/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^8 + 
   (2*z^6)/a^6, Knot[14, NonAlternating, 25189] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (6*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 25190] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 25191] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 10*z^2 - 18*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 
   8*z^4 - 22*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 11*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25192] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 
   (2*z^2)/a^2 - 8*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + z^4/a^2 - 
   7*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 25193] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 25194] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 25195] -> 
  -4 + 3/a^2 + a^2 + a^4 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 29*z^4 - z^4/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   20*z^6 + (6*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 25196] -> 
  -3 + 2/a^2 + 2*a^2 - 18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 + (6*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 
   2*a^2*z^8 - z^10, Knot[14, NonAlternating, 25197] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 7*z^4 + 
   (4*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 25198] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   2*z^4 + z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[14, NonAlternating, 25199] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   4*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 12*a^2*z^4 - 
   5*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25200] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2 + 
   (4*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 25201] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 25202] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   8*a^2*z^2 - 20*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 25203] -> -2/a^6 + 3/a^4 + z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25204] -> 3 + a^(-6) - 3/a^2 + 8*z^2 + z^2/a^4 - 
   (9*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 2*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 25205] -> 
  2/a^14 - 8/a^12 + 6/a^10 + a^(-8) - (13*z^2)/a^12 + (16*z^2)/a^10 + 
   (9*z^2)/a^8 - (4*z^4)/a^12 + (15*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 25206] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 25207] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + z^2 + z^2/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 25208] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25209] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 7*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25210] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25211] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25212] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + (7*z^2)/a^10 - (16*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 25213] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^4 + (2*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25214] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25215] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^8*z^2 - a^10*z^2 - a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 25216] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + (2*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 
   2*z^4 + (2*z^4)/a^2 - 10*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   4*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 25217] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (4*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 + (8*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 25218] -> 5 + 4/a^4 - 8/a^2 + 10*z^2 + 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (22*z^2)/a^2 + 8*z^4 + (3*z^4)/a^6 - 
   (23*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (11*z^6)/a^2 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25219] -> 
  a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - (3*z^2)/a^10 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 25220] -> 3/a^4 - 4/a^2 + 2*a^2 - 3*z^2 + z^2/a^6 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^6 - (8*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 25221] -> -2/a^8 + 2/a^6 + a^(-4) + 2*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^8 + 
   z^4/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 25222] -> -a^(-4) + 2/a^2 + 3*z^2 - 3*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25223] -> 
  -2/a^10 + a^(-8) + 2/a^6 - z^2/a^12 + (2*z^2)/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + (6*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 25224] -> 
  -4 - 5/a^4 + 10/a^2 - 7*z^2 - (9*z^2)/a^4 + (22*z^2)/a^2 - a^2*z^2 - 
   2*z^4 - (7*z^4)/a^4 + (21*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 25225] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + 
   (8*z^4)/a^6 - (19*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (10*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25226] -> 1 - 3*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 - 
   4*z^6 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 25227] -> 
  2 + a^(-4) - 2/a^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 25228] -> 2 - 5*a^4 + 6*a^6 - 2*a^8 + 2*z^2 - 
   12*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25229] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 
   6*z^2 + z^2/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 15*z^4 + 
   (5*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25230] -> 8 + a^(-6) - a^(-4) - 4/a^2 - 3*a^2 + 
   16*z^2 + z^2/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 14*z^4 - 
   z^4/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 6*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25231] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   (2*z^2)/a^12 + (9*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^4 + z^6/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25232] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 25233] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25234] -> -2/a^6 + 3/a^4 + 2*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 25235] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25236] -> 2 + a^(-4) - 2/a^2 + 6*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25237] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + 
   (9*z^4)/a^10 - (17*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25238] -> 3*a^4 - 2*a^6 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25239] -> 2*a^4 - a^8 - a^2*z^2 + 2*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 25240] -> -a^(-14) + 3/a^12 - 7/a^10 + 6/a^8 - 
   z^2/a^14 + (3*z^2)/a^12 - (10*z^2)/a^10 + (16*z^2)/a^8 + (2*z^2)/a^6 + 
   z^4/a^12 - (3*z^4)/a^10 + (13*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 25241] -> 3 - a^(-2) - a^2 + 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25242] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, Knot[14, NonAlternating, 25243] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25244] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 25245] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 5*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 3*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 25246] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (25*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 25247] -> 
  2*a^2 - 2*a^6 + a^8 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 5*a^8*z^4 + 3*a^2*z^6 - 
   8*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 25248] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^6)/a^6, Knot[14, NonAlternating, 25249] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (11*z^2)/a^10 - 
   (21*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 + (9*z^4)/a^10 - (22*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 25250] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (9*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - (7*z^4)/a^8 + (21*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 25251] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 
   10*z^2 - z^2/a^8 + (6*z^2)/a^6 - (21*z^2)/a^4 + (28*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^6 - (22*z^4)/a^4 + (34*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25252] -> a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 22*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + 
   3*a^2*z^4 - 15*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 5*a^4*z^6 + 
   9*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 25253] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^4 - (9*z^4)/a^8 + (17*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 25254] -> 
  4*a^2 - 5*a^4 + 2*a^6 + z^2 - z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 + 2*z^4 + z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 25255] -> 3*a^2 - 2*a^4 - a^6 + a^8 - z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 - a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 25256] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[14, NonAlternating, 25257] -> 
  3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 2*a^4*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 + 11*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + 
   7*a^10*z^4 - a^6*z^6 - 3*a^8*z^6, Knot[14, NonAlternating, 25258] -> 
  4 - 4*a^2 + a^8 + 6*z^2 - 10*a^2*z^2 - 4*a^4*z^2 + 2*a^8*z^2 + 2*z^4 - 
   8*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 - 2*a^4*z^6 - 
   a^6*z^6, Knot[14, NonAlternating, 25259] -> 2 + a^(-2) - 3*a^2 + a^8 + 
   z^2/a^2 - 6*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + a^8*z^2 - z^4 - 3*a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4, Knot[14, NonAlternating, 25260] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (10*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - (7*z^4)/a^8 + (11*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (6*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 25261] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25262] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25263] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 
   5*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   3*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 25264] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 25265] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + 
   4*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25266] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 25267] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (28*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25268] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (35*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 25269] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 13*z^2 + z^2/a^6 - (16*z^2)/a^4 + 
   (31*z^2)/a^2 - 14*z^4 - (15*z^4)/a^4 + (41*z^4)/a^2 - 6*z^6 - 
   (6*z^6)/a^4 + (26*z^6)/a^2 - z^8 - z^8/a^4 + (8*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25270] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 25271] -> -a^(-8) + a^(-6) + a^(-2) - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 25272] -> 
  -5 + 2/a^4 + 4*a^2 - 11*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 
   10*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 25273] -> 
  -3 - 4/a^4 + 8/a^2 - 8*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 - 
   7*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 25274] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - (2*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - z^4/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 6*a^2*z^6 - 
   2*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25275] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (25*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 25276] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^4*z^2 + 
   12*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + a^2*z^4 - 4*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 4*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25277] -> 2/a^6 - 5/a^4 + 4/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + z^4/a^6 - 
   (14*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 25278] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (6*z^2)/a^10 - 
   (10*z^2)/a^8 + (13*z^2)/a^6 + (7*z^4)/a^10 - (16*z^4)/a^8 + (12*z^4)/a^6 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 25279] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (18*z^2)/a^8 + (16*z^2)/a^6 + (8*z^4)/a^10 - 
   (21*z^4)/a^8 + (13*z^4)/a^6 + (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 25280] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 25281] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 17*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25282] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 8*a^2*z^4 - 
   17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 25283] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - (26*z^4)/a^4 + 
   (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 25284] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 + (3*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 9*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - 
   3*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 25285] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (7*z^2)/a^8 + (18*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - (6*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25286] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (19*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + 
   (10*z^4)/a^10 - (20*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25287] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25288] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   4*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - z^4 + 4*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 25289] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + 2*z^2 + (9*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + 
   (6*z^4)/a^6 - (17*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 25290] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + 
   (16*z^2)/a^2 - 6*z^4 + (5*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 25291] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25292] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25293] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (10*z^2)/a^10 - (18*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 + (8*z^4)/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 25294] -> -2/a^10 + 4/a^8 - 4/a^6 + 
   3/a^4 + (6*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + z^4/a^8 - 
   (8*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 25295] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25296] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 7*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - z^6/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 25297] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - 2*a^4*z^4 + 
   a^6*z^4 - 4*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 25298] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (3*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^4)/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 25299] -> 4 + 3/a^4 - 6/a^2 + 8*z^2 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (17*z^2)/a^2 + 7*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (19*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (10*z^6)/a^2 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25300] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 25301] -> 2 + 3/a^4 - 5/a^2 + a^2 + 2*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 + z^4/a^6 - (9*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, Knot[14, NonAlternating, 25302] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - (2*z^4)/a^4 + (5*z^4)/a^2 + 2*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 25303] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 10*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25304] -> 2 - 2*a^2 + 2*a^6 - a^8 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25305] -> -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25306] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^4 + 
   5*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   2*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25307] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 4*z^4 - a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 25308] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25309] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25310] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 25311] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 25312] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 25313] -> -a^(-6) + a^(-4) + a^(-2) - 
   3*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25314] -> 3 - a^(-4) - a^4 + 3*z^2 - z^2/a^6 + 
   z^2/a^4 + 3*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 25315] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 3*z^2 - z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 25316] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (29*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25317] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 25318] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 
   10*z^2 - (5*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25319] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25320] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (4*z^2)/a^12 - (12*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^12 - 
   (9*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 25321] -> 4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 
   9*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 
   3*a^8*z^4 + 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 25322] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 25323] -> 
  4 - 5*a^2 + a^4 + a^6 + 7*z^2 - 15*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 
   5*z^4 - 16*a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6 - 7*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25324] -> 1 + 2/a^4 - 3/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   5*z^6 + z^6/a^2 + a^2*z^6 - z^8, Knot[14, NonAlternating, 25325] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 9*z^2 + (6*z^2)/a^4 - (8*z^2)/a^2 + 
   6*a^2*z^2 - 10*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 25326] -> 2/a^8 - 6/a^6 + 5/a^4 + z^2/a^10 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + z^4/a^10 - 
   (9*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25327] -> a^(-8) - 2/a^6 + 2/a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^2 - 4*z^4 - z^4/a^6 + (11*z^4)/a^2 - z^6 + 
   (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25328] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 25329] -> 
  2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 25330] -> 
  1 + 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 25331] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 11*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25332] -> -1 - a^(-8) + a^(-4) + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 25333] -> 
  4 - 5*a^2 + 2*a^4 - a^6 + a^8 + 5*z^2 - 11*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   a^8*z^2 + z^4 - 7*a^2*z^4 - a^4*z^4 - a^6*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 25334] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25335] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 25336] -> -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (10*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 25337] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 23*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25338] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 25339] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 3*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 25340] -> 2/a^6 - 5/a^4 + 4/a^2 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (10*z^2)/a^2 + (8*z^4)/a^6 - (25*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 25341] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 25342] -> 
  -3 + 2/a^2 + 2*a^2 - 16*z^2 + (7*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 25343] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (18*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 25344] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 6*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (9*z^2)/a^4 - (15*z^2)/a^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - 
   (12*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - (3*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 25345] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25346] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 
   5*z^2 - (7*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 25347] -> -1 + 2/a^4 - a^(-2) - a^2 + 
   2*a^4 - 5*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 25348] -> 
  -3/a^8 + 4/a^6 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 25349] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 25350] -> -1 - a^(-6) + 3/a^2 - 5*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (7*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 25351] -> 2 - a^(-8) + a^(-6) - a^2 + 6*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25352] -> a^(-8) - 4/a^4 + 4/a^2 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - (2*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 25353] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 25354] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 25355] -> -2/a^8 + 2/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^4 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 25356] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 25357] -> 
  1 + 3*z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25358] -> 
  1 + a^(-2) - 2*a^2 + a^6 - z^2 + (2*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + a^8*z^2 - 2*z^4 - 4*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, 
 Knot[14, NonAlternating, 25359] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 9*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 - 3*a^2*z^2 + 10*z^4 + 
   (5*z^4)/a^4 - (11*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (4*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 25360] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25361] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   z^2 - z^2/a^2 + 4*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + 4*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 25362] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 
   10*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 + 10*z^4 + 
   (5*z^4)/a^4 - (11*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - (4*z^6)/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 25363] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   z^4 - (5*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25364] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25365] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - z^4/a^10 - z^4/a^8 + (8*z^4)/a^6 - z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 25366] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^10 + z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 25367] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + 13*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 
   10*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^4*z^10, Knot[14, NonAlternating, 25368] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 17*a^2*z^2 - 
   15*a^4*z^2 + 4*a^6*z^2 - 4*z^4 + 14*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 
   4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25369] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 
   8*a^4*z^2 - 6*a^6*z^2 + 6*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 12*a^6*z^4 - 
   a^8*z^4 + 3*a^10*z^4 + a^4*z^6 - 7*a^6*z^6 - a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 25370] -> -4 + 2/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25371] -> -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 11*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 4*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25372] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + 3*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 25373] -> a^(-4) - a^(-2) + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25374] -> a^(-10) - 2/a^8 + 4/a^6 - 7/a^4 + 5/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 25375] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 25376] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 25377] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 - 4*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 3*z^4 + 
   (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 25378] -> 2 - a^(-2) + a^4 - a^6 + 7*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - 4*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 25379] -> -a^(-8) - a^(-6) + 4/a^4 - 
   a^(-2) + z^2 + z^2/a^8 - (4*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (4*z^4)/a^6 + (10*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25380] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 5*a^4*z^2 + 
   9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 25381] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 9*z^2 - z^2/a^6 - z^2/a^4 + a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 25382] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   4*z^2 + (10*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + 3*z^4 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 25383] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - (7*z^4)/a^8 + (16*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 25384] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 25385] -> 
  2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   10*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25386] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (4*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25387] -> 
  2 - 2*a^2 + a^4 + 7*z^2 - (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 9*z^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 25388] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 25389] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   3*z^2 - z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 25390] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + (5*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25391] -> -a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + (3*z^4)/a^2 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 25392] -> 
  4 - 6*a^2 + 3*a^4 + 6*z^2 - 13*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   11*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 5*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 25393] -> 
  1 + a^(-2) - 2*a^2 + a^6 + z^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 25394] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25395] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 
   3*z^2 - (4*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25396] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25397] -> -4/a^8 + 6/a^6 - a^(-4) - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - z^4/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 25398] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^6 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^2, Knot[14, NonAlternating, 25399] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + a^2*z^4 + 3*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25400] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25401] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 - 2*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25402] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - z^2 + 
   9*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + 8*a^4*z^4 - a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 25403] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - (5*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 25404] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25405] -> 
  1 - a^2 + a^4 + a^6 - a^8 - 3*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - z^4 - 
   a^2*z^4 + 7*a^4*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25406] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 25407] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   z^2 - z^2/a^8 - z^2/a^6 + (9*z^2)/a^4 - z^4 - z^4/a^8 + (8*z^4)/a^4 + 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 25408] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (8*z^4)/a^4 - 
   (7*z^4)/a^2 + (5*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 25409] -> -2 + 2/a^2 + a^4 + z^2 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25410] -> 
  -a^(-12) + a^(-8) + a^(-4) - z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (8*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 25411] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 11*a^6*z^4 + 3*a^10*z^4 + a^4*z^6 - 
   7*a^6*z^6 - a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 25412] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 24*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 31*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 21*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 25413] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25414] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 4*a^2*z^6 - 
   a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25415] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25416] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 
   16*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 19*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25417] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   8*z^2 + z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   13*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 + 4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 25418] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 
   12*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 10*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - 3*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 25419] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 
   15*z^2 + (6*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25420] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 17*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 25421] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25422] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   z^2 - 2*a^2*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 25423] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 25424] -> 
  4 - 6*a^2 + 4*a^4 - 2*a^6 + a^8 + 6*z^2 - 15*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 12*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 - 3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 25425] -> 1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 - 
   2*z^2 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 25426] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (7*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 25427] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (4*z^2)/a^10 - (9*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (3*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 25428] -> 2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 25429] -> 2/a^14 - 8/a^12 + 6/a^10 + 
   a^(-8) + z^2/a^14 - (14*z^2)/a^12 + (15*z^2)/a^10 + (10*z^2)/a^8 - 
   (6*z^4)/a^12 + (15*z^4)/a^10 + (14*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 25430] -> 
  3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (3*z^4)/a^10 - (9*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 - (3*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 25431] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   7*a^6*z^4 - 4*a^8*z^4 + 2*a^4*z^6 + 3*a^6*z^6, 
 Knot[14, NonAlternating, 25432] -> 3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 25433] -> 
  3/a^8 - 7/a^6 + 4/a^4 + a^(-2) + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (14*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - z^4/a^8 - 
   (11*z^4)/a^6 + z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25434] -> 1 + a^(-8) - 2/a^6 + a^(-4) - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25435] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   (6*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + 
   (2*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (4*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 25436] -> 
  -3/a^8 + 4/a^6 - z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 - 
   z^4/a^10 + (10*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 25437] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   20*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 26*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25438] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   16*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25439] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 + z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 25440] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (5*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - z^4/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25441] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   5*z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25442] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 25443] -> 
  2*a^2 - a^4 + z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   4*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25444] -> 2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 
   3*a^2*z^2 - 11*a^4*z^2 + 21*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   11*a^4*z^4 + 23*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 25445] -> 
  -7 + 2/a^6 - 4/a^4 + 6/a^2 + 4*a^2 - 18*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (29*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - (11*z^6)/a^4 + (20*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25446] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 25447] -> 2/a^6 - 3/a^4 + 2/a^2 - 2*a^2 + 2*a^4 + 
   3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25448] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 - 
   (8*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[14, NonAlternating, 25449] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25450] -> 2*a^2 - a^4 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 + 2*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25451] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 25452] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + (2*z^4)/a^4 + 
   a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 25453] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + z^2/a^12 - (10*z^2)/a^10 + 
   (12*z^2)/a^8 + (4*z^2)/a^6 + (2*z^4)/a^12 - (5*z^4)/a^10 + (7*z^4)/a^8 + 
   (6*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - z^6/a^8 + (2*z^6)/a^6 - z^8/a^10 - 
   z^8/a^8, Knot[14, NonAlternating, 25454] -> a^(-12) - 3/a^10 + 3/a^6 + 
   z^2/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + z^4/a^12 - 
   (2*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 25455] -> -3/a^8 + 4/a^6 - z^2/a^12 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25456] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 25457] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (29*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + 
   (37*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 25458] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25459] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (30*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (15*z^4)/a^8 + (37*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 25460] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 + z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 
   2*a^2*z^2 - 16*z^4 + z^4/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 
   10*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 25461] -> 
  3 + a^(-6) - 3/a^2 + 8*z^2 + (3*z^2)/a^6 + z^2/a^4 - (15*z^2)/a^2 + 7*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (19*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (10*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, Knot[14, NonAlternating, 25462] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25463] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25464] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25465] -> 
  a^(-10) - 4/a^6 + 3/a^4 + a^(-2) + (2*z^2)/a^10 - z^2/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25466] -> a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 25467] -> a^(-10) - 3/a^6 + a^(-4) + 
   2/a^2 + z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^2 - z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4, Knot[14, NonAlternating, 25468] -> 
  a^2 + 4*a^4 - 6*a^6 + a^8 + a^10 + 2*a^2*z^2 + 5*a^4*z^2 - 12*a^6*z^2 + 
   a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 10*a^6*z^4 - a^8*z^4 + a^10*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 25469] -> 
  3*a^2 - a^4 - 2*a^6 + a^10 + 4*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - a^8*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 25470] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + 
   z^2/a^16 - (8*z^2)/a^14 - (5*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 - 
   (6*z^4)/a^14 + (2*z^4)/a^12 + (31*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (17*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 25471] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   7*z^2 + z^2/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 - 6*z^4 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (17*z^4)/a^2 - z^6 + z^6/a^4 + (8*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 25472] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 25473] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - (2*z^2)/a^2 + 5*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 25474] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^10 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 25475] -> 
  -1 + a^(-2) + a^2 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[14, NonAlternating, 25476] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 2*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 - 2*a^2*z^2 - (3*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 - 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25477] -> 
  2 + 2/a^6 - 3/a^4 + 6*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25478] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (12*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (7*z^4)/a^10 - (14*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 25479] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (14*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (8*z^4)/a^10 - (17*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 25480] -> 
  -1 + a^(-2) + a^2 + 2*z^2 - z^2/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   6*z^4 - 5*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25481] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (19*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 + 
   (10*z^4)/a^10 - (21*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25482] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2/a^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 25483] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 12*a^6*z^2 - 6*a^8*z^2 - 2*a^2*z^4 + 
   16*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 25484] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25485] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 + a^2*z^2 + 
   7*a^4*z^2 - 15*a^6*z^2 + 6*a^8*z^2 + 4*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 + 
   a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 25486] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 16*z^2 - 
   (7*z^2)/a^2 - 11*a^2*z^2 + a^4*z^2 + 19*z^4 - (7*z^4)/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25487] -> -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25488] -> a^2 + a^8 - a^10 + 6*a^2*z^2 - 
   5*a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 - 
   9*a^6*z^4 + 6*a^8*z^4 + a^2*z^6 - 6*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - 
   a^4*z^8 - a^6*z^8, Knot[14, NonAlternating, 25489] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 + 2*a^2*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 
   5*a^6*z^4 + a^8*z^4 - a^6*z^6, Knot[14, NonAlternating, 25490] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 25491] -> -2/a^8 + 2/a^6 + a^(-4) - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (3*z^2)/a^4 - (7*z^4)/a^8 + (21*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 25492] -> -1 + a^(-2) + a^2 - 13*z^2 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 24*z^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + 
   (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25493] -> 1 - 2/a^4 + 3/a^2 - a^2 - 2*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 - 2*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25494] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*z^2 + a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + 4*a^8*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + 
   a^8*z^4 - a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 25495] -> 2 - a^(-4) + a^(-2) - a^2 + 7*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 9*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25496] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 7*a^2*z^2 - 18*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 8*a^2*z^4 - 21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 25497] -> -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 
   20*z^2 + z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + 
   (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 25498] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + 
   3*a^2*z^2 - a^6*z^2 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 25499] -> 
  a^2 + a^6 - a^8 - z^2 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 
   a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25500] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 25501] -> 2 + 2/a^4 - 3/a^2 - a^2 + 
   a^4 + 5*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 25502] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (7*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^4 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[14, NonAlternating, 25503] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 25504] -> 
  4 + a^(-6) + a^(-4) - 5/a^2 + 9*z^2 + (4*z^2)/a^6 - (17*z^2)/a^2 + 8*z^4 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (21*z^4)/a^2 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (11*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, Knot[14, NonAlternating, 25505] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   z^6/a^4 - (3*z^6)/a^2, Knot[14, NonAlternating, 25506] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 6*z^2 - 10*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 + 
   4*z^4 - 10*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + z^6 - 5*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 25507] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - 7*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   7*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 25508] -> 
  a^(-10) + a^(-8) - 5/a^6 + 2/a^4 + 2/a^2 + (3*z^2)/a^10 - z^2/a^8 - 
   (10*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 - 
   (8*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25509] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 25510] -> a^(-12) - a^(-10) - 4/a^8 + 
   5/a^6 + (3*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (6*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 25511] -> -1 + 2/a^2 - 2*a^4 + 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 25512] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 
   z^2/a^2 + 2*a^4*z^2 - 3*a^6*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 25513] -> 
  1 + a^(-10) - 2/a^6 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[14, NonAlternating, 25514] -> 1 + a^2 - 2*a^4 + a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25515] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + 
   (11*z^4)/a^6 - (23*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 25516] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 25517] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 25518] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - 
   3*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 25519] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 25520] -> 
  4 - 2/a^2 - a^4 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 25521] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 3*z^2 - z^2/a^4 - 2*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 25522] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + (2*z^2)/a^8 - (6*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 25523] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   (2*z^4)/a^4 + a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 25524] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 25525] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 25526] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 25527] -> 
  -2 + 2/a^2 + a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25528] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - 
   (4*z^4)/a^8 - z^4/a^6 + z^4/a^2 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 25529] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 25530] -> 
  a^4 + a^6 - a^10 - a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   8*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 25531] -> a^4 + a^6 - a^10 - 2*a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   15*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 25532] -> 
  a^2 - a^4 + 2*a^6 - a^10 - z^2 + a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[14, NonAlternating, 25533] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - a^2*z^2 + 10*a^4*z^2 - 14*a^6*z^2 + 
   5*a^8*z^2 - a^2*z^4 + 8*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 + 2*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 25534] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 25535] -> 
  -2 + 2/a^2 + a^4 - 10*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + 
   a^2*z^8, Knot[14, NonAlternating, 25536] -> -a^(-10) - a^(-8) + 3/a^6 + 
   z^2/a^12 - (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 25537] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 
   5*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 - z^4 + 4*a^2*z^4 - 
   5*a^6*z^4 + a^8*z^4 + a^2*z^6 - a^6*z^6, 
 Knot[14, NonAlternating, 25538] -> 2 - 2*a^2 + a^4 + 7*z^2 - (3*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25539] -> 2*a^6 + a^8 - 2*a^10 + a^2*z^2 + 
   5*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - a^4*z^4 + 3*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 25540] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 25541] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 
   2*z^4 - z^4/a^2 + a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 25542] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25543] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + z^2 - 
   9*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 - z^4/a^2 - 9*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25544] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 25545] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25546] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25547] -> -a^(-4) + 2/a^2 + z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 25548] -> a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 - 6*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 25549] -> 1 + a^4 - 2*a^6 + a^8 - z^2 - a^2*z^2 + 
   6*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25550] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 25551] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25552] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 2*a^6*z^4 - a^8*z^4 + a^10*z^4 - a^4*z^6 - 
   2*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 25553] -> 
  -1 + 4*a^2 - 2*a^4 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 
   14*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, Knot[14, NonAlternating, 25554] -> 
  2 - a^(-2) + a^2 - a^4 - 2*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 + z^4/a^4 + 7*a^2*z^4 - a^4*z^4 - 5*z^6 + 2*a^2*z^6 - 
   z^8, Knot[14, NonAlternating, 25555] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   12*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 10*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25556] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 - 4*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (20*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25557] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + z^2/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   8*z^6 + z^6/a^2 + 16*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 25558] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   3*z^6 - (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 25559] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 + z^2 + 3*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + 
   4*a^8*z^2 + a^10*z^2 - a^2*z^4 - 4*a^4*z^4 - 5*a^6*z^4 - a^8*z^4, 
 Knot[14, NonAlternating, 25560] -> a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - 
   (3*z^2)/a^10 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 25561] -> -a^(-8) + a^(-6) + a^(-2) + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 25562] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^8 - 
   z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 25563] -> -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25564] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 
   z^2/a^2 + a^2*z^2 + 3*a^6*z^2 - 2*z^4 - a^6*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 25565] -> -a^4 + 4*a^6 - 2*a^10 - 3*a^4*z^2 + 
   15*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 - 7*a^4*z^4 + 23*a^6*z^4 - 6*a^8*z^4 - 
   5*a^4*z^6 + 18*a^6*z^6 - 5*a^8*z^6 - a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 25566] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 - z^2 - (5*z^2)/a^6 + (12*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 25567] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (10*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + 
   (21*z^4)/a^6 - (6*z^4)/a^4 - z^6/a^10 + (2*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^8 + (2*z^8)/a^6, Knot[14, NonAlternating, 25568] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 + 11*a^6*z^2 - 3*a^8*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 25569] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 25570] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 25571] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (15*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (26*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 25572] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + 3*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25573] -> -a^4 + 7*a^6 - 6*a^8 + a^10 - 5*a^4*z^2 + 
   19*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 - 6*a^4*z^4 + 20*a^6*z^4 + a^8*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 25574] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 
   2*a^4*z^2 - a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 - a^4*z^4 + 2*a^6*z^4 + 
   12*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^6*z^8 + a^8*z^8, Knot[14, NonAlternating, 25575] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 4*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   5*a^8*z^2 + 2*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 2*a^4*z^6 - 
   2*a^6*z^6, Knot[14, NonAlternating, 25576] -> 
  3*a^8 - 2*a^12 + a^6*z^2 + 13*a^8*z^2 + 2*a^10*z^2 - 3*a^12*z^2 - 
   a^14*z^2 + 3*a^6*z^4 + 13*a^8*z^4 + 4*a^10*z^4 + a^6*z^6 + 3*a^8*z^6 + 
   a^10*z^6, Knot[14, NonAlternating, 25577] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 + z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6, Knot[14, NonAlternating, 25578] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   z^6 - a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 25579] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 
   a^10*z^2 - a^2*z^4 + a^4*z^4 + 9*a^6*z^4 - a^10*z^4 + a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 25580] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - z^4/a^2 - 4*a^4*z^4 + a^6*z^4 + z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 25581] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - 2*a^4*z^4 + 6*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 25582] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   5*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - 4*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 25583] -> 
  -a^4 + 6*a^6 - 4*a^8 - 5*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 - 
   6*a^4*z^4 + 20*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 25584] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 
   2*a^6*z^2 + 14*a^8*z^2 - 7*a^10*z^2 - 2*a^4*z^4 + 6*a^6*z^4 + 12*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 25585] -> 1 + a^2 - 4*a^4 + 5*a^6 - 
   2*a^8 - z^2 + 7*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   9*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 25586] -> 
  -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 2*z^2 + 5*a^2*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 6*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25587] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - 
   (6*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 - (9*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25588] -> 4*a^6 - 3*a^8 - a^2*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 - a^2*z^4 + a^4*z^4 + 10*a^6*z^4 - a^10*z^4 + 
   a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 25589] -> 
  2*a^6 + a^8 - 2*a^10 - a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 25590] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 - z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 25591] -> 
  2*a^4 - a^8 - a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 8*a^6*z^6 - 
   2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[14, NonAlternating, 25592] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25593] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 25594] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 
   8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 25595] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 + (3*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - 
   (2*z^8)/a^8, Knot[14, NonAlternating, 25596] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 25597] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 + 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (7*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 25598] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - 2*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25599] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 25600] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25601] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 25602] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + (11*z^2)/a^6 + (3*z^4)/a^12 - 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 25603] -> -3/a^8 + 4/a^6 + z^2/a^12 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (8*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 25604] -> 
  1 + a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + z^4/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   9*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 25605] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 25606] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (19*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 25607] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 20*z^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   18*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25608] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25609] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 + 
   a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25610] -> 1 - a^(-8) + 3/a^4 - 2/a^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 + z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25611] -> -7 + 4/a^2 + 4*a^2 - 24*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 30*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25612] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 25613] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 + z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 + 
   a^4*z^2 - 11*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 4*z^6 - 
   z^6/a^2 - 2*a^2*z^6, Knot[14, NonAlternating, 25614] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 + a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   z^4 - a^2*z^4 + 2*a^6*z^4 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 25615] -> 1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25616] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^2 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 25617] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 - z^4/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 25618] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 25619] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + 21*a^2*z^4 - 
   8*a^4*z^4 - 5*z^6 + 18*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 25620] -> 
  -2/a^10 - a^(-8) + 6/a^6 - 2/a^4 - (3*z^2)/a^10 - z^2/a^8 + (19*z^2)/a^6 - 
   (5*z^2)/a^4 - z^4/a^10 - (4*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 25621] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 - z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25622] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   6*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 25623] -> 
  3/a^6 - 7/a^4 + 5/a^2 - z^2/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + 
   (12*z^2)/a^2 - z^4/a^8 + (15*z^4)/a^6 - (36*z^4)/a^4 + (12*z^4)/a^2 + 
   (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 25624] -> 
  3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + z^2/a^14 - (15*z^2)/a^12 + 
   (14*z^2)/a^10 + (10*z^2)/a^8 - (5*z^4)/a^12 + (14*z^4)/a^10 + 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 25625] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 9*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   4*a^4*z^4 + 5*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25626] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25627] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 - z^2/a^8 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 25628] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + z^2/a^2 + 30*a^2*z^2 - 12*a^4*z^2 - 
   14*z^4 + 38*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 25629] -> 
  -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 25630] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 25631] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (26*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (25*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 25632] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 25*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25633] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 25634] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 25635] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - 
   a^6 + 10*z^2 - (3*z^2)/a^2 - 12*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^2 - 11*a^2*z^4 + 5*a^4*z^4 + 4*z^6 - z^6/a^2 - 4*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25636] -> 4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 
   6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25637] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 8*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25638] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (4*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25639] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (17*z^4)/a^4 + (7*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 25640] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 25641] -> 
  -2/a^10 + a^(-8) + a^(-6) + 2/a^4 - a^(-2) - z^2/a^10 + z^2/a^8 + 
   (5*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 25642] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 - a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 
   3*a^8*z^2 - z^4 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 25643] -> 
  4/a^6 - 9/a^4 + 6/a^2 + (12*z^2)/a^6 - (28*z^2)/a^4 + (13*z^2)/a^2 + 
   (13*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 + (6*z^6)/a^6 - (25*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 25644] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 5*z^2 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25645] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25646] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25647] -> 2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25648] -> -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 5*z^2 + 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 25649] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 25650] -> a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 
   3/a^4 + z^2/a^12 - (3*z^2)/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 - z^4/a^10 + (2*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^6)/a^6, Knot[14, NonAlternating, 25651] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 9*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 8*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25652] -> -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   9*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25653] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 
   4*z^2 + z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 25654] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   5*z^4 + (2*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 25655] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + (8*z^2)/a^6 - (10*z^2)/a^4 + 
   2*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25656] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 25657] -> 1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 
   2*a^6 + a^8 + 3*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 
   4*z^4 - 4*a^2*z^4 + 5*a^4*z^4 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 25658] -> -1 + a^(-4) + 2*a^4 - 2*a^6 + a^8 + z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 25659] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 
   3*z^6 - 4*a^2*z^6 + a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 25660] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 + z^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   4*z^4 - z^4/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 2*z^6 - 4*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 25661] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   2*a^2*z^4 - 3*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25662] -> 1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 25663] -> 
  a^(-4) - a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   15*z^4 + z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25664] -> -5/a^8 + 8/a^6 - 2/a^4 - (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (10*z^4)/a^6 - z^4/a^4 + z^6/a^8 + (2*z^6)/a^6, 
 Knot[14, NonAlternating, 25665] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 + (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 25666] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 25667] -> 
  -3/a^8 + 4/a^6 - (3*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25668] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 + (5*z^4)/a^2 + z^6/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 25669] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 25670] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 - z^2/a^4 - 2*a^2*z^2 + 
   a^4*z^2 - 3*z^4 + z^4/a^4 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 25671] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25672] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 25673] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^4 - z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 25674] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6, Knot[14, NonAlternating, 25675] -> 
  a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + (3*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 25676] -> 
  1 + a^(-10) - a^(-8) + a^(-6) - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^8 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 25677] -> a^(-8) + a^(-6) - 6/a^4 + 5/a^2 + 
   z^2/a^8 + (7*z^2)/a^6 - (22*z^2)/a^4 + (11*z^2)/a^2 + (9*z^4)/a^6 - 
   (30*z^4)/a^4 + (10*z^4)/a^2 + (5*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 25678] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   z^2/a^14 - (8*z^2)/a^12 + (11*z^2)/a^10 + (11*z^2)/a^8 - z^4/a^14 - 
   z^4/a^12 + (10*z^4)/a^10 + (17*z^4)/a^8 + z^6/a^12 + (3*z^6)/a^10 + 
   (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 25679] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 17*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   7*a^2*z^2 - 27*z^4 + (12*z^4)/a^2 + 10*a^2*z^4 - 20*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25680] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 + 
   (10*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 25681] -> 
  2 + a^(-8) - 2/a^4 + 4*z^2 + z^2/a^8 - (3*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25682] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 25683] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + 
   a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + a^2*z^2 - 3*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25684] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 25685] -> 
  a^(-8) + 2/a^6 - 8/a^4 + 6/a^2 + (3*z^2)/a^8 + (4*z^2)/a^6 - (23*z^2)/a^4 + 
   (12*z^2)/a^2 + z^4/a^8 + (5*z^4)/a^6 - (30*z^4)/a^4 + (10*z^4)/a^2 + 
   (4*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 25686] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - z^2/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 
   25*z^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 25687] -> 
  3 + a^(-8) - a^(-4) - 2/a^2 + 5*z^2 + z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25688] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 25689] -> 2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + z^4 - 5*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 25690] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 25691] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 25692] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 + z^2/a^6 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 - (11*z^4)/a^4 + (28*z^4)/a^2 - 
   5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 25693] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - (3*z^2)/a^10 + (14*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 - 
   z^6/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 25694] -> 
  -6 + a^(-4) + 2/a^2 + 4*a^2 - 28*z^2 + (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 40*z^4 + z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 26*z^6 + 
   (5*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25695] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 
   9*z^2 + z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 25696] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 5*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 25697] -> -1 - a^(-8) + a^(-4) + 2/a^2 - z^2 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25698] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   z^2/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 - (11*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 25699] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - (8*z^2)/a^4 + (22*z^2)/a^2 - 10*z^4 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 25700] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (13*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 25701] -> 
  1 + 4*z^2 - z^2/a^6 - 3*a^2*z^2 + 7*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25702] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 25703] -> 
  -3 + 8*a^2 - 4*a^4 - 6*z^2 - (2*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 - 
   6*z^4 - z^4/a^2 + 29*a^2*z^4 - 10*a^4*z^4 - 4*z^6 + 20*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25704] -> 4 - 2/a^2 - a^4 + 9*z^2 - z^2/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 9*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25705] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^8 - z^4/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 25706] -> 
  -a^(-4) + 2/a^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 25707] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^8 - 
   z^4/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 25708] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25709] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2/a^10 + (6*z^2)/a^8 - (9*z^2)/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (11*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 25710] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 12*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 11*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25711] -> -2/a^10 + 2/a^8 - a^(-6) + 3/a^4 - 
   a^(-2) - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25712] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25713] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25714] -> -a^(-10) + 2/a^8 - 4/a^6 + 5/a^4 - 
   a^(-2) + (2*z^2)/a^8 - (5*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - z^4 - 
   z^4/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 25715] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   19*z^2 + (2*z^2)/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 28*z^4 + z^4/a^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 - 20*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 25716] -> 
  3 + a^(-8) - a^(-6) + a^(-4) - 3/a^2 + 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (12*z^2)/a^2 + 4*z^4 + (4*z^4)/a^4 - (13*z^4)/a^2 + z^6 + z^6/a^4 - 
   (6*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25717] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25718] -> a^2 + a^6 - a^8 - 3*a^2*z^2 + 7*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 - 6*a^2*z^4 + 13*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 - 
   2*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25719] -> 1 - 4*z^2 - (2*z^2)/a^6 + (6*z^2)/a^2 - 
   6*z^4 - z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25720] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 - 5*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - 
   4*z^6 - (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 25721] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 3*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 25722] -> 
  -1 + a^(-2) + a^2 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 + 
   5*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 3*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25723] -> 2 + a^(-8) - 2/a^4 + 3*z^2 + z^2/a^8 + 
   z^2/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 25724] -> 1 + a^(-8) - a^(-6) + a^(-4) - 
   2/a^2 + a^2 - (6*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25725] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 25726] -> 
  1 + z^2 - z^2/a^8 + z^2/a^6 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - z^6/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 25727] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2 + (2*z^2)/a^8 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 - z^6/a^6 - z^6/a^4, Knot[14, NonAlternating, 25728] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, 
 Knot[14, NonAlternating, 25729] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + 7*a^2*z^4 - 19*a^4*z^4 + 
   15*a^6*z^4 - 2*a^8*z^4 + 5*a^2*z^6 - 17*a^4*z^6 + 7*a^6*z^6 + a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 25730] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 25731] -> 
  -6 + a^(-4) + 2/a^2 + 4*a^2 - 15*z^2 + z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 25732] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 25733] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 + (10*z^2)/a^6 - (16*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 25734] -> 1 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 25735] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 - 
   a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 25736] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   z^4/a^12 + z^4/a^10 - (7*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (3*z^6)/a^8, Knot[14, NonAlternating, 25737] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 25738] -> 
  2*a^2 - a^4 - 4*z^2 + 9*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 12*a^2*z^4 - 
   4*a^4*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25739] -> -1 + a^(-2) + a^2 - 12*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 23*z^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + 
   (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25740] -> 2 + 2/a^6 - 3/a^4 + 4*z^2 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 25741] -> 2 + a^(-8) - a^(-6) + 2/a^4 - 
   4/a^2 + a^2 - z^2 + z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25742] -> 2/a^14 - 9/a^12 + 8/a^10 - 
   (14*z^2)/a^12 + (20*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 25743] -> -a^(-8) + 2/a^4 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (7*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 25744] -> 
  1 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 25745] -> 
  1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (2*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 25746] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^2 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 25747] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 3*z^6 + (3*z^6)/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 25748] -> 1 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25749] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 5*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 - (10*z^4)/a^4 + 
   (23*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 25750] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (4*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + z^4/a^12 + z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, Knot[14, NonAlternating, 25751] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - (6*z^2)/a^10 + (12*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 + (8*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 25752] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 
   5*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25753] -> 1 + z^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - 
   a^4*z^8, Knot[14, NonAlternating, 25754] -> -3 - 4/a^4 + 8/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 25755] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 
   13*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25756] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   4*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 - z^4/a^8 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 25757] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 12*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25758] -> 
  3/a^14 - 10/a^12 + 7/a^10 + a^(-8) + z^2/a^14 - (17*z^2)/a^12 + 
   (19*z^2)/a^10 + (8*z^2)/a^8 - (6*z^4)/a^12 + (18*z^4)/a^10 + 
   (12*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 25759] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) + (8*z^2)/a^10 - (17*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 25760] -> 2 - 5*a^4 + 6*a^6 - 2*a^8 + 
   3*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + z^4 - 2*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - a^2*z^6 - 3*a^4*z^6, Knot[14, NonAlternating, 25761] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 
   13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 + a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 - a^2*z^6 - 3*a^4*z^6, Knot[14, NonAlternating, 25762] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 + z^2/a^2 + 27*a^2*z^2 - 11*a^4*z^2 - 
   14*z^4 + 37*a^2*z^4 - 13*a^4*z^4 - 6*z^6 + 25*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 25763] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 25764] -> 
  a^(-10) - 3/a^8 + 7/a^6 - 10/a^4 + 6/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (21*z^2)/a^6 - (27*z^2)/a^4 + (10*z^2)/a^2 - (6*z^4)/a^8 + (24*z^4)/a^6 - 
   (32*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 25765] -> a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + 
   3*a^2*z^2 - 10*a^4*z^2 + 21*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 20*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 25766] -> 
  3 + a^(-10) - 3/a^8 + 5/a^6 - 3/a^4 - 2/a^2 + 4*z^2 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25767] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 4*a^2*z^2 + 9*a^4*z^2 - a^8*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25768] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 9*z^2 - 
   (2*z^2)/a^4 - 2*a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 25769] -> 
  2 + 2/a^6 - 3/a^4 + 5*z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 - (6*z^2)/a^2 + 
   4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25770] -> -8 + a^(-4) + 2/a^2 + 8*a^2 - 2*a^4 - 
   26*z^2 + z^2/a^4 + (7*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + 
   (7*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 25771] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + 
   20*a^2*z^2 - 8*a^4*z^2 - 9*z^4 + 26*a^2*z^4 - 9*a^4*z^4 - 5*z^6 + 
   19*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25772] -> -5/a^8 + 8/a^6 - 2/a^4 - (9*z^2)/a^8 + 
   (22*z^2)/a^6 - (5*z^2)/a^4 - (9*z^4)/a^8 + (27*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^6)/a^8 + (19*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 25773] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - (2*z^2)/a^6 + (11*z^2)/a^2 - 2*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[14, NonAlternating, 25774] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   4*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 25775] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 9*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25776] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2 - 
   2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 6*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25777] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^8 - (5*z^2)/a^4 - z^2/a^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 25778] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 3*z^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 2*z^4 + 7*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - z^6 + 4*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25779] -> 3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 
   7*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 + 10*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 25780] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 9*z^2 - z^2/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + 11*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 5*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 25781] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 12*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25782] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25783] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 + 
   5*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25784] -> 2 - 2*a^2 + a^4 + a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 - 3*z^6 + 
   9*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 25785] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^4 - (10*z^2)/a^2 + 3*z^4 + z^4/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + z^6 + z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25786] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 
   2*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 8*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25787] -> -1 + 5*a^2 - 4*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 19*z^4 + (6*z^4)/a^2 + 
   19*a^2*z^4 - 5*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 25788] -> 
  5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 10*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 - z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   5*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 25789] -> 
  2*a^4 - a^6 + a^8 - a^10 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^6*z^8, Knot[14, NonAlternating, 25790] -> 
  -3/a^8 + 4/a^6 - (4*z^2)/a^8 + (10*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 25791] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25792] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 8*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25793] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   15*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 20*z^4 + 
   (6*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25794] -> -a^(-2) + 5*a^2 - 3*a^4 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - z^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 + 6*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25795] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   3*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - a^2*z^4 - 9*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 25796] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 6*z^4 + 
   (5*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 25797] -> a^(-10) - 3/a^8 + 6/a^6 - 8/a^4 + 5/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   (6*z^4)/a^8 + (23*z^4)/a^6 - (28*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^8 + 
   (12*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 25798] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 2*z^2 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 25799] -> -3 + a^(-4) + a^(-2) + 3*a^4 - 
   a^6 - 8*z^2 + (3*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 25800] -> 2 - a^(-2) + a^4 - a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*z^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 25801] -> -a^(-10) + 3/a^4 - a^(-2) - 
   z^2/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25802] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25803] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 25804] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 22*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (20*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 - (5*z^4)/a^4 + (22*z^4)/a^2 + 
   9*a^2*z^4 - 20*z^6 - z^6/a^4 + (11*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 25805] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 12*z^2 - z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 25806] -> 
  a^2 + a^6 - a^8 + 2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 25807] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   9*z^2 + z^2/a^4 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 4*z^4 - 
   (3*z^4)/a^2 + 15*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 25808] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + z^6 + 2*a^2*z^6, Knot[14, NonAlternating, 25809] -> 
  -5 + 2/a^4 + 4*a^2 - 25*z^2 + (3*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   37*z^4 + z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (5*z^6)/a^2 + 
   6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25810] -> 4 + 2/a^6 - a^(-4) - 4/a^2 + 8*z^2 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 - (12*z^2)/a^2 + 5*z^4 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 - (13*z^4)/a^2 + z^6 + z^6/a^6 - (6*z^6)/a^4 - (6*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 25811] -> 
  -5 + a^(-6) + a^(-2) + 4*a^2 - 12*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 25812] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25813] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 25814] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25815] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 25816] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 14*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - 4*a^4*z^6 + 8*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 25817] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + 
   z^2/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 25818] -> 
  4 - 6*a^2 + 3*a^4 + 2*z^2 + (2*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 25819] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 11*a^2*z^2 + 
   4*a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 
   3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[14, NonAlternating, 25820] -> 
  5 - 8*a^2 + 4*a^4 + 6*z^2 + (2*z^2)/a^2 - 22*a^2*z^2 + 10*a^4*z^2 + 
   (3*z^4)/a^2 - 23*a^2*z^4 + 8*a^4*z^4 - 3*z^6 + z^6/a^2 - 11*a^2*z^6 + 
   2*a^4*z^6 - z^8 - 2*a^2*z^8, Knot[14, NonAlternating, 25821] -> 
  2/a^2 - 4*a^2 + 3*a^4 - 5*z^2 + z^2/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 
   4*a^4*z^2 - 7*z^4 + z^4/a^4 - 5*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 25822] -> 
  4*a^8 - 2*a^10 - a^12 + 6*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 7*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 + 2*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 - 3*a^10*z^6 + 
   a^12*z^6 - a^8*z^8 - a^10*z^8, Knot[14, NonAlternating, 25823] -> 
  2 + 3/a^4 - 5/a^2 + a^2 + 2*z^2 + (7*z^2)/a^4 - (15*z^2)/a^2 + 2*a^2*z^2 + 
   z^4 + (5*z^4)/a^4 - (16*z^4)/a^2 + a^2*z^4 + z^6/a^4 - (7*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 25824] -> 10 - 5/a^2 - 3*a^2 - a^4 + 
   24*z^2 - (11*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 24*z^4 - (8*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 25825] -> a^6 + 2*a^8 - a^10 - a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + 2*a^4*z^4 + a^6*z^4 - 
   2*a^8*z^4 + a^12*z^4 - a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 25826] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + 
   4*z^2 + (2*z^2)/a^6 - (11*z^2)/a^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 25827] -> 
  2*a^4 - a^8 - 6*a^2*z^2 + 13*a^4*z^2 - 3*a^8*z^2 - 7*a^2*z^4 + 18*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 10*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 25828] -> 
  5 - 2/a^2 - 2*a^2 + 12*z^2 - (6*z^2)/a^2 - 3*a^2*z^2 - a^6*z^2 + 12*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 4*z^6 - 2*a^2*z^6 + 
   2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 25829] -> 
  5*a^8 - 4*a^10 + 4*a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 + 6*a^6*z^4 + 
   7*a^8*z^4 - 4*a^10*z^4 + 2*a^12*z^4 + 2*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 
   a^12*z^6 - a^8*z^8 - a^10*z^8, Knot[14, NonAlternating, 25830] -> 
  4 + 3/a^4 - 6/a^2 + 9*z^2 + (7*z^2)/a^4 - (18*z^2)/a^2 - a^2*z^2 + 6*z^4 + 
   (5*z^4)/a^4 - (17*z^4)/a^2 + z^6 + z^6/a^4 - (7*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25831] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + 
   (8*z^2)/a^8 - (18*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + (5*z^4)/a^8 - 
   (18*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 25832] -> 9 - 5/a^2 - a^2 - 2*a^4 + 22*z^2 - 
   (11*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 23*z^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 + 11*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25833] -> 2*a^6 - a^12 + a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + a^12*z^4 - 
   2*a^8*z^6 - a^10*z^6, Knot[14, NonAlternating, 25834] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 25835] -> 7 - a^(-4) - 2/a^2 - 2*a^2 - 
   a^4 + 14*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   11*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 25836] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 25837] -> 
  a^4 + 2*a^6 - 2*a^8 - 5*a^2*z^2 + 10*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 
   7*a^2*z^4 + 16*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 10*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25838] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - 
   5*a^2*z^2 + 11*a^4*z^2 - 2*a^8*z^2 - z^4 - a^2*z^4 + 9*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25839] -> -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25840] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 3*z^2 - 
   10*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 + 3*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25841] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^6 + z^4/a^4 - 
   z^4/a^2 - z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 25842] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 
   4*a^2 - 16*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 25843] -> 1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 - 
   3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 25844] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 + z^4/a^12 + z^4/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - z^6/a^10 - (3*z^6)/a^8, Knot[14, NonAlternating, 25845] -> 
  4*a^6 - 3*a^8 - 2*a^2*z^2 + 2*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 15*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 25846] -> -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - 
   7*z^2 + z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 25847] -> 5 + a^(-8) - a^(-6) + 3/a^4 - 
   7/a^2 + 7*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (16*z^2)/a^2 + 
   2*z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - (13*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (3*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 25848] -> 
  -1 + a^(-6) - a^2 + 2*a^4 - 6*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 25849] -> a^(-8) - a^(-6) + 2/a^4 - 
   3/a^2 + 2*a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 - (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25850] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   3*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + 
   a^2*z^6, Knot[14, NonAlternating, 25851] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 25852] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 - 
   z^4/a^6, Knot[14, NonAlternating, 25853] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25854] -> -1 + 2*a^2 + a^4 - a^8 - z^2 + 
   4*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 25855] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 25856] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25857] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 19*z^4 + 
   (6*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 15*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25858] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 25859] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 25860] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 - (5*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 25861] -> 
  4*a^6 - 3*a^8 + 10*a^6*z^2 - 4*a^8*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 25862] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (20*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25863] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 7*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 + 9*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 + 5*a^2*z^6 - 19*a^4*z^6 + 
   5*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 25864] -> -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 
   7*z^2 + z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 25865] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   6*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 25866] -> 
  4*a^6 - 3*a^8 + 2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 25867] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2/a^2 + 
   5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^4*z^4 - a^6*z^4 + 
   2*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25868] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 25869] -> -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   2*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25870] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 + 
   (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^8 + (6*z^4)/a^6 - z^4/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25871] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 25872] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (3*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 25873] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 3*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25874] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   4*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   7*a^4*z^4 - 3*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 25875] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 + 
   2*a^2*z^2 - a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25876] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 3*z^4 - z^4/a^2 + 20*a^2*z^4 - 
   8*a^4*z^4 - 4*z^6 + 18*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 25877] -> 
  a^(-6) - a^(-2) + a^4 - z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 25878] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 - z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 25879] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 3*z^2 + 5*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 
   2*z^4 + 7*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 25880] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 + (7*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 + (5*z^6)/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 25881] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - a^2*z^4 - 
   a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + a^4*z^6 + 3*a^6*z^6, 
 Knot[14, NonAlternating, 25882] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) + (6*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^10 - (4*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 25883] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - z^2/a^10 - 
   (11*z^2)/a^8 + (14*z^2)/a^6 + z^4/a^12 - (12*z^4)/a^8 + (10*z^4)/a^6 - 
   (6*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 25884] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^4)/a^12 - (4*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + 
   z^6/a^12 - (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 25885] -> 1 - a^2 + 2*a^4 - a^6 + 5*z^2 - 
   10*a^2*z^2 + 6*a^4*z^2 + 6*z^4 - 15*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + 
   2*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25886] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 25887] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 12*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 4*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 25888] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 19*z^2 - 
   (6*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25889] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 - a^2*z^4 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25890] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 
   3*z^2 - z^2/a^4 + 8*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25891] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 
   5*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + 4*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25892] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + 5*a^2*z^6 - a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 25893] -> -3/a^8 + 4/a^6 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (3*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25894] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 + a^2*z^4 - 13*a^4*z^4 + 5*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25895] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 17*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 + z^4/a^4 + (6*z^4)/a^2 + 
   10*a^2*z^4 - 20*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 25896] -> 
  -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) + (7*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 25897] -> 
  -3 - 4/a^4 + 8/a^2 - 4*z^2 - (8*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (7*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 25898] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 12*z^2 - 
   (6*z^2)/a^2 - 2*a^4*z^2 + 16*z^4 - (6*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25899] -> -2/a^6 + 3/a^4 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 25900] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   (4*z^2)/a^10 + (9*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 - z^6/a^10 + (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 25901] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   11*a^4*z^2 - 15*a^6*z^2 + 9*a^8*z^2 + 9*a^4*z^4 - 20*a^6*z^4 + 2*a^8*z^4 + 
   3*a^10*z^4 + 2*a^4*z^6 - 11*a^6*z^6 - 3*a^8*z^6 + a^10*z^6 - 2*a^6*z^8 - 
   a^8*z^8, Knot[14, NonAlternating, 25902] -> a^2 + a^8 - a^10 + 4*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 - 
   7*a^6*z^4 + a^10*z^4 - 2*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 25903] -> 7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 
   10*z^2 - (2*z^2)/a^4 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^2 + 2*a^2*z^4, 
 Knot[14, NonAlternating, 25904] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 11*z^2 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 
   3*a^4*z^4 - 7*z^6 + z^6/a^2 - a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 25905] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^6 + (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25906] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + 
   3*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 25907] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25908] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + a^2*z^2 - 
   4*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 - 2*a^2*z^4 + a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25909] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25910] -> -a^(-8) + 2/a^4 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 25911] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) + (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4 - 
   z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25912] -> a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^8 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - (16*z^4)/a^4 + 
   (6*z^4)/a^2 + (3*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 25913] -> 
  1 + a^(-6) - a^(-2) - 2*a^2 + 2*a^4 + 2*z^2 - z^2/a^4 - (3*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 25914] -> -1 - a^(-6) + 3/a^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   3*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25915] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + (2*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 25916] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 - 4*z^2 - z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8, Knot[14, NonAlternating, 25917] -> 
  a^(-4) - a^(-2) + a^2 - 11*z^2 + (2*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 
   23*z^4 + z^4/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (4*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25918] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 25919] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 25920] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 25921] -> 3*a^2 - 3*a^4 + a^6 + 3*z^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 11*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 
   8*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25922] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 3*a^2*z^2 + 
   10*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 - 6*a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 - 
   2*a^8*z^4 - 2*a^2*z^6 + 9*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 25923] -> 1 - a^2 + 3*a^4 - 3*a^6 + 
   a^8 - 3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - z^4 - a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25924] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 25925] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 + a^2*z^2 - 7*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 + a^4*z^6 + 3*a^6*z^6, Knot[14, NonAlternating, 25926] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 + z^2/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25927] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - 
   2*a^2*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 25928] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 25929] -> -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^8 - (8*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 25930] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - z^6/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 25931] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + (7*z^2)/a^8 - 
   (14*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 + z^4/a^8 - 
   (13*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 25932] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2, Knot[14, NonAlternating, 25933] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25934] -> -a^(-8) + a^(-6) + a^(-2) - z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25935] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   z^4/a^6 - (11*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 25936] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   z^6/a^8, Knot[14, NonAlternating, 25937] -> 2/a^16 - 3/a^14 - 5/a^12 + 
   7/a^10 + z^2/a^16 - (9*z^2)/a^14 - (8*z^2)/a^12 + (26*z^2)/a^10 + 
   (2*z^2)/a^8 - (6*z^4)/a^14 + z^4/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - 
   z^6/a^14 + (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 25938] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 25939] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 + (2*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 25940] -> 
  a^6 + 3*a^8 - 3*a^10 + 5*a^6*z^2 + 10*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 + 
   6*a^6*z^4 + 6*a^8*z^4 - 5*a^10*z^4 + 2*a^12*z^4 + 2*a^6*z^6 - a^8*z^6 - 
   3*a^10*z^6 + a^12*z^6 - a^8*z^8 - a^10*z^8, 
 Knot[14, NonAlternating, 25941] -> -3*a^2 + 8*a^4 - 3*a^6 - a^8 - 
   7*a^2*z^2 + 19*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 - 7*a^2*z^4 + 19*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 10*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 
   2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 25942] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 25943] -> 
  2*a^2 - a^4 - 2*z^2 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - z^4/a^2 + 
   8*a^2*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 25944] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 25945] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25946] -> -3 - 2/a^6 + 6/a^2 - 5*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - 2*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 - a^2*z^4 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 25947] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - z^2 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 25948] -> 4*a^8 - 2*a^10 - a^12 + 5*a^6*z^2 + 
   9*a^8*z^2 - 2*a^10*z^2 - a^12*z^2 + 7*a^6*z^4 + 4*a^8*z^4 - 2*a^10*z^4 + 
   2*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 - 3*a^10*z^6 + a^12*z^6 - a^8*z^8 - 
   a^10*z^8, Knot[14, NonAlternating, 25949] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - 3*a^4*z^2 + 13*a^6*z^2 + 4*a^8*z^2 - 
   4*a^10*z^2 - 7*a^4*z^4 + 22*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 - 5*a^4*z^6 + 
   18*a^6*z^6 - 4*a^8*z^6 - a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 25950] -> -2/a^6 + 3/a^4 - 3*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 25951] -> a^6 + 2*a^8 - a^10 - a^12 + 
   2*a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   a^12*z^4 - a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 25952] -> -a^4 + 4*a^6 - 2*a^10 + 10*a^6*z^2 - 
   a^10*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 - 2*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 25953] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 25954] -> 4*a^8 - 2*a^10 - a^12 + 22*a^8*z^2 - 
   13*a^10*z^2 + 2*a^12*z^2 + 28*a^8*z^4 - 22*a^10*z^4 + 7*a^12*z^4 + 
   13*a^8*z^6 - 18*a^10*z^6 + 5*a^12*z^6 + 2*a^8*z^8 - 7*a^10*z^8 + 
   a^12*z^8 - a^10*z^10, Knot[14, NonAlternating, 25955] -> 
  5 + 4/a^4 - 8/a^2 + 16*z^2 + (16*z^2)/a^4 - (36*z^2)/a^2 + 17*z^4 + 
   (17*z^4)/a^4 - (50*z^4)/a^2 + 7*z^6 + (7*z^6)/a^4 - (31*z^6)/a^2 + z^8 + 
   z^8/a^4 - (9*z^8)/a^2 - z^10/a^2, Knot[14, NonAlternating, 25956] -> 
  a^6 + 2*a^8 - a^10 - a^12 + 8*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 + 
   8*a^6*z^4 - 5*a^10*z^4 + 3*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 - 4*a^10*z^6 + 
   a^12*z^6 - a^8*z^8 - a^10*z^8, Knot[14, NonAlternating, 25957] -> 
  5 + a^(-6) + 2/a^4 - 7/a^2 + 9*z^2 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (17*z^2)/a^2 + 5*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 - (15*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25958] -> 3/a^4 - 4/a^2 + 2*a^2 - 7*z^2 + 
   (7*z^2)/a^4 - (11*z^2)/a^2 + 6*a^2*z^2 - 11*z^4 + (5*z^4)/a^4 - 
   (12*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 25959] -> 2*a^6 - a^12 + 3*a^4*z^2 + 
   5*a^6*z^2 + a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 25960] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 25961] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 + z^2/a^6 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 + 6*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (16*z^4)/a^2 + 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (9*z^6)/a^2 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 25962] -> 
  4*a^6 - 3*a^8 + 3*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + 2*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^4*z^8 - a^6*z^8, Knot[14, NonAlternating, 25963] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^8 - (13*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 25964] -> 
  11 - 6/a^2 - 2*a^2 - 2*a^4 + 28*z^2 - (14*z^2)/a^2 - 6*a^4*z^2 + 28*z^4 - 
   (9*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 12*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 25965] -> 
  1 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + z^4 + z^4/a^6 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 25966] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   3*a^2*z^2 + 4*a^4*z^2 - 10*a^6*z^2 + 8*a^8*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 
   11*a^6*z^4 + 2*a^8*z^4 + a^10*z^4 - 2*a^4*z^6 - 4*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 25967] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + (3*z^2)/a^8 - 
   (8*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 - z^6/a^6, 
 Knot[14, NonAlternating, 25968] -> 6 - 2/a^4 - 2*a^2 - a^4 + 13*z^2 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 25969] -> 3 - a^(-2) - a^2 + 9*z^2 - (5*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 14*z^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   9*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25970] -> -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + 
   2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - z^4 - z^4/a^2 + 5*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 25971] -> -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + 
   4*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   7*a^4*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 25972] -> 2 + 2/a^6 - 3/a^4 + z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 - z^4 - z^4/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 25973] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   15*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + 18*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 25974] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   23*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 16*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 25975] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 25976] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   4*z^6 + 3*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 25977] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 15*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   7*a^4*z^2 - 14*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25978] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 25979] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (21*z^2)/a^2 + a^2*z^2 - 9*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 25980] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 21*z^2 + 
   (5*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 18*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 25981] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 25982] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   14*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 25983] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 25984] -> 
  1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 25985] -> -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 25986] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 
   19*a^4*z^4 + 5*a^6*z^4 - 4*z^6 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 25987] -> 
  4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + (4*z^2)/a^16 - (27*z^2)/a^14 + 
   (16*z^2)/a^12 + (20*z^2)/a^10 + z^4/a^16 - (25*z^4)/a^14 + (33*z^4)/a^12 + 
   (37*z^4)/a^10 - (9*z^6)/a^14 + (27*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + 
   (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, 
 Knot[14, NonAlternating, 25988] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (11*z^2)/a^8 + (5*z^2)/a^6 + (2*z^4)/a^12 - 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (6*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - 
   z^6/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 25989] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (12*z^2)/a^14 + (3*z^2)/a^12 + (14*z^2)/a^10 + 
   (6*z^2)/a^8 - (7*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (12*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[14, NonAlternating, 25990] -> 
  6 - 4/a^2 + 2*a^2 - 3*a^4 + 13*z^2 - (7*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   a^6*z^2 + 10*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 25991] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + 
   z^2/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + (2*z^4)/a^12 - (12*z^4)/a^8 + 
   (11*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 25992] -> 
  2*a^2 - a^4 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 5*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - 4*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 25993] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 25994] -> 
  2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 5*z^2 - 12*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 11*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 - 3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 25995] -> 7 - 4/a^2 - 2*a^4 + 15*z^2 - 
   (7*z^2)/a^2 - a^4*z^2 - a^6*z^2 + 13*z^4 - (3*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + 4*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 25996] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   7*a^4*z^2 - 3*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 4*a^4*z^4 - 
   6*a^6*z^4 - 6*a^8*z^4 + 4*a^10*z^4 - 3*a^6*z^6 - 3*a^8*z^6, 
 Knot[14, NonAlternating, 25997] -> 2*a^4 - a^8 - 2*z^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 2*z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 + 
   2*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 25998] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   z^4/a^10 + z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 25999] -> 
  6 - 2/a^4 - 2*a^2 - a^4 + 12*z^2 - (3*z^2)/a^4 + z^2/a^2 - 3*a^4*z^2 + 
   8*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 26000] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^12 + (9*z^2)/a^10 - (11*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (7*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26001] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 
   2*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 2*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 26002] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^4/a^10 + z^4/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^6, Knot[14, NonAlternating, 26003] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) - (2*z^2)/a^14 - (13*z^2)/a^12 + 
   (19*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 - (5*z^4)/a^12 + (22*z^4)/a^10 + 
   (13*z^4)/a^8 + (9*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 26004] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 
   5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4 + 
   (4*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 26005] -> 2*a^4 - a^8 + z^2 - z^2/a^2 + 5*a^4*z^2 - 
   a^6*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 26006] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 8*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 17*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 26007] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 15*a^4*z^2 + 14*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 7*a^6*z^4 - 2*a^8*z^4 - 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 26008] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 26009] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26010] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 
   10*z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 26011] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 9*a^2*z^4 - 4*a^4*z^4 - z^6 + 
   2*a^2*z^6, Knot[14, NonAlternating, 26012] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 26013] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 9*z^6 + (3*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - a^2*z^8, Knot[14, NonAlternating, 26014] -> 
  4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 6*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   z^6 - z^6/a^2, Knot[14, NonAlternating, 26015] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*z^6 - 3*a^2*z^6 + a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26016] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   19*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 22*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - 11*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*z^8, Knot[14, NonAlternating, 26017] -> 6 - 2/a^2 - 4*a^2 + a^4 + 
   10*z^2 - (4*z^2)/a^2 - 5*a^2*z^2 + 8*z^4 - (3*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26018] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - z^6/a^10 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 26019] -> 1 + 6*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 + 3*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26020] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   4*z^2 + (4*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + z^4/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 26021] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26022] -> 8 - 4/a^2 - 2*a^2 - a^4 + 20*z^2 - 
   (10*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 20*z^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 8*z^6 - z^6/a^2 + a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26023] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26024] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   (6*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + 
   (2*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (4*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 26025] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 + 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^4*z^8 - a^6*z^8, Knot[14, NonAlternating, 26026] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 6*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 
   2*a^10*z^2 - 8*a^4*z^4 + 28*a^6*z^4 - 7*a^8*z^4 - 5*a^4*z^6 + 19*a^6*z^6 - 
   5*a^8*z^6 - a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 26027] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 26028] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + (9*z^2)/a^6 - (18*z^2)/a^4 + 
   (9*z^2)/a^2 + (2*z^4)/a^8 + (3*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 + 
   z^6/a^8 - (2*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 26029] -> 
  2*a^4 - a^6 + a^8 - a^10 + 3*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 + 
   2*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + a^10*z^4 - 2*a^4*z^6 - 
   3*a^6*z^6 - a^8*z^6, Knot[14, NonAlternating, 26030] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 - a^2*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   8*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 26031] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 
   13*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 17*a^2*z^4 - 
   30*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 20*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26032] -> 2 - a^(-2) - 3*a^2 + 7*a^4 - 4*a^6 + 
   4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 
   3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 26033] -> 
  5 - 4/a^2 + 4*a^2 - 4*a^4 + 16*z^2 - (10*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 19*z^4 - (6*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - a^6*z^4 + 8*z^6 - 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6 + z^8, Knot[14, NonAlternating, 26034] -> 
  4 - 6*a^2 + 3*a^4 + 7*z^2 + z^2/a^2 - 20*a^2*z^2 + 9*a^4*z^2 + z^4 + 
   (3*z^4)/a^2 - 22*a^2*z^4 + 8*a^4*z^4 - 3*z^6 + z^6/a^2 - 11*a^2*z^6 + 
   2*a^4*z^6 - z^8 - 2*a^2*z^8, Knot[14, NonAlternating, 26035] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 - 3*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 
   6*z^4 + z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 26036] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 26037] -> -2*a^4 + 9*a^6 - 7*a^8 + a^10 + a^2*z^2 - 
   5*a^4*z^2 + 20*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 - 3*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 + 3*a^6*z^6, Knot[14, NonAlternating, 26038] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 5*z^2 + 16*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   2*z^4 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 26039] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 7*a^2*z^4 - a^4*z^4 - 
   z^6 + a^2*z^6, Knot[14, NonAlternating, 26040] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 6*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 26041] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 8*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 3*a^4*z^6, 
 Knot[14, NonAlternating, 26042] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + a^2*z^6, Knot[14, NonAlternating, 26043] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 26044] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 26045] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26046] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 26047] -> 2/a^10 - 7/a^8 + 6/a^6 + (4*z^2)/a^10 - 
   (13*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + z^4/a^12 + (2*z^4)/a^10 - 
   (10*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 26048] -> -5/a^8 + 8/a^6 - 2/a^4 - 
   z^2/a^10 - (5*z^2)/a^8 + (18*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - z^4/a^10 + 
   (12*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6, 
 Knot[14, NonAlternating, 26049] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 16*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 19*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   7*a^2*z^4 + 10*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26050] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 - 3*z^4 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 - a^2*z^4 - 4*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26051] -> 
  -a^(-4) + 2/a^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 26052] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 26053] -> -3 + 3/a^6 - 10/a^4 + 11/a^2 - 9*z^2 + 
   (6*z^2)/a^6 - (24*z^2)/a^4 + (28*z^2)/a^2 - 6*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (25*z^4)/a^2 - z^6 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 26054] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) + (3*z^2)/a^10 - (17*z^2)/a^8 + 
   (29*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 26055] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + 
   (27*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 26056] -> 
  2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 - z^6/a^4, Knot[14, NonAlternating, 26057] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 26058] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4, Knot[14, NonAlternating, 26059] -> 
  -5 + 3/a^2 + 3*a^2 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - z^8 + z^8/a^2, Knot[14, NonAlternating, 26060] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 26061] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 - z^4 - z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + 
   (8*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 26062] -> 6 - 4/a^2 + 2*a^2 - 3*a^4 + 18*z^2 - 
   (10*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 20*z^4 - (6*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + 8*z^6 - z^6/a^2 + a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26063] -> -4/a^8 + 6/a^6 - a^(-4) - (5*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 26064] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^4)/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 - z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 26065] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 + z^4 + 3*z^6 - 
   z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 26066] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26067] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 2*z^6 - a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26068] -> a^(-16) - 7/a^12 + 6/a^10 + a^(-8) - 
   (2*z^2)/a^14 - (9*z^2)/a^12 + (11*z^2)/a^10 + (11*z^2)/a^8 - 
   (2*z^4)/a^12 + (9*z^4)/a^10 + (18*z^4)/a^8 + (2*z^6)/a^10 + (8*z^6)/a^8 + 
   z^8/a^8, Knot[14, NonAlternating, 26069] -> 1 + a^2 - 3*a^4 + 4*a^6 - 
   3*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   2*z^4 - 4*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26070] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - 4*z^2 - 
   (2*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 - 6*z^4 - z^4/a^2 + 28*a^2*z^4 - 
   10*a^4*z^4 - 4*z^6 + 20*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26071] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 - 7*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26072] -> 2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 
   3/a^6 + z^2/a^14 - (12*z^2)/a^12 + (21*z^2)/a^10 - (13*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^4)/a^12 + (23*z^4)/a^10 - (23*z^4)/a^8 + 
   (15*z^4)/a^6 + (9*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - 
   (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, Knot[14, NonAlternating, 26073] -> 
  -2 - a^(-2) + 9*a^2 - 5*a^4 - 5*z^2 - (2*z^2)/a^2 + 23*a^2*z^2 - 
   10*a^4*z^2 - 6*z^4 - z^4/a^2 + 29*a^2*z^4 - 10*a^4*z^4 - 4*z^6 + 
   20*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26074] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 23*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 25*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 26075] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   (2*z^2)/a^14 - (16*z^2)/a^12 + (13*z^2)/a^10 + (11*z^2)/a^8 - 
   (7*z^4)/a^12 + (14*z^4)/a^10 + (14*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 26076] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + z^2 - (3*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 - 
   4*z^4 - z^4/a^2 + 24*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26077] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^8 + (11*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 26078] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 3*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26079] -> 1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + 
   a^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 26080] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 2*z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 26081] -> 4/a^10 - 10/a^8 + 6/a^6 + a^(-4) + 
   (6*z^2)/a^10 - (17*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^10 - 
   (11*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 26082] -> -3 + 8*a^2 - 5*a^4 + 2*a^6 - a^8 - 
   6*z^2 + 17*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 26083] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + 
   z^6/a^4, Knot[14, NonAlternating, 26084] -> 3/a^14 - 10/a^12 + 7/a^10 + 
   a^(-8) + (2*z^2)/a^14 - (18*z^2)/a^12 + (18*z^2)/a^10 + (9*z^2)/a^8 - 
   (8*z^4)/a^12 + (18*z^4)/a^10 + (13*z^4)/a^8 + z^4/a^6 + (6*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 26085] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - 
   (18*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + 
   (2*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^4, Knot[14, NonAlternating, 26086] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (15*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 26087] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26088] -> 1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + 
   a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 26089] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + (4*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^4 - (4*z^4)/a^8 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 26090] -> -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 
   8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   7*z^4 - z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 26091] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26092] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   12*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + 
   z^4/a^2 + 23*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 3*z^6 + 11*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 26093] -> 
  -7 + 4/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 16*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + z^4/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + 18*a^2*z^6 - 6*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26094] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (22*z^2)/a^4 + (10*z^2)/a^2 + (12*z^4)/a^6 - (29*z^4)/a^4 + (10*z^4)/a^2 + 
   (5*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26095] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 9*a^2*z^2 - 22*a^4*z^2 + 16*a^6*z^2 - 
   3*a^8*z^2 + 9*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 + 5*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26096] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 26097] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 + z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 3*z^4 + 
   4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 2*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 26098] -> 2/a^4 - 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 + 
   z^2 + z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26099] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26100] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26101] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 4*z^2 + 
   9*a^2*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 + 2*a^4*z^4 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 26102] -> 
  6 - 3/a^2 - a^2 - a^4 + 10*z^2 + z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 - 
   z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 26103] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 26104] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (4*z^2)/a^10 + (9*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^10 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 26105] -> 
  6 - 4/a^2 + 2*a^2 - 3*a^4 + 19*z^2 - (10*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   20*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 8*z^6 - z^6/a^2 + a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 26106] -> a^(-12) - 3/a^10 + 3/a^6 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^10 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 26107] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + (2*z^2)/a^6 + 2*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26108] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 8*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 26109] -> -2/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^10 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 26110] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   2/a^2 + z^2 + (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (2*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 26111] -> -7 + 4/a^2 + 6*a^2 - 4*a^4 + 
   2*a^6 - 17*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 
   15*z^4 + z^4/a^2 + 27*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 
   20*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 7*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26112] -> 
  2/a^4 - 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 + z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26113] -> 1 + 2/a^4 - 3/a^2 + 3*a^2 - 4*a^4 + 
   2*a^6 + 3*z^2 + z^2/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 
   8*z^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - z^6/a^2 + z^8, 
 Knot[14, NonAlternating, 26114] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 + z^4/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26115] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 + (4*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 26116] -> 
  -1 + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + a^6 - z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 + 3*z^6 - (2*z^6)/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26117] -> 5 - 4/a^2 + 4*a^2 - 4*a^4 + 17*z^2 - 
   (10*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 20*z^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 + 8*z^6 - z^6/a^2 + a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26118] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 4*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - 2*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 - a^2*z^4 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 26119] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 26120] -> 
  -3/a^8 + 4/a^6 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 26121] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 - (2*z^2)/a^14 - (7*z^2)/a^12 + 
   (6*z^2)/a^10 + (13*z^2)/a^8 - z^4/a^12 + (5*z^4)/a^10 + (19*z^4)/a^8 + 
   z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, Knot[14, NonAlternating, 26122] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - (7*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 - 
   (7*z^4)/a^4 + (19*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26123] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 
   6*z^2 - (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + 
   (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 26124] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 26125] -> -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 
   3*z^2 + z^2/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   3*z^4 - (3*z^4)/a^2 + 9*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[14, NonAlternating, 26126] -> -1 + a^(-8) - 2/a^6 + 2/a^4 + 
   a^4 - 2*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26127] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 26128] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - (3*z^2)/a^2 - 
   a^2*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 
   8*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26129] -> 
  3 + 2/a^4 - 4/a^2 + z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^2 - 3*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 26130] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^4, Knot[14, NonAlternating, 26131] -> a^(-2) - a^2 + a^4 - z^2 + 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - z^4 - z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 5*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 26132] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 + a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 26133] -> a^(-4) - a^(-2) + a^2 - 8*z^2 + z^2/a^4 + 
   7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^4 + z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   6*z^6 + 2*a^2*z^6 - z^8, Knot[14, NonAlternating, 26134] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - 12*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 13*z^6 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26135] -> -4 + 2/a^2 + 4*a^2 - a^4 - 20*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 12*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 26136] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26137] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 + 
   7*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + 6*a^2*z^4 - 23*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26138] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26139] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 
   z^2/a^2 - a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 26140] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6, Knot[14, NonAlternating, 26141] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26142] -> a^(-2) - a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26143] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - 2*a^2*z^6, Knot[14, NonAlternating, 26144] -> 
  -2 + 2/a^2 + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26145] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   7*a^2*z^2 - 15*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 + 7*a^2*z^4 - 21*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26146] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[14, NonAlternating, 26147] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 + z^4/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   5*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26148] -> 
  -4 + 3/a^2 + a^2 + a^4 - 19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 
   28*z^4 - z^4/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 20*z^6 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26149] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 26150] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26151] -> 2 - a^2 - a^4 + a^6 - z^2/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26152] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 20*z^2 + z^2/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 26153] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (27*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[14, NonAlternating, 26154] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 + 4*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 + z^4 + 3*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 26155] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 12*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 - 3*a^4*z^4 + 15*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^4*z^6 + 
   8*a^6*z^6 - 5*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 26156] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26157] -> a^(-4) - 2*a^2 + 2*a^4 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 26158] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 10*z^2 + (5*z^2)/a^2 + 5*a^4*z^2 - 
   a^6*z^2 - 9*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 26159] -> 3 + a^(-6) - 2/a^4 - a^2 + 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 26160] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^2*z^6 - 2*a^4*z^6, 
 Knot[14, NonAlternating, 26161] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26162] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^4 - z^2/a^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - 
   (3*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26163] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 9*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26164] -> 2 - a^2 - a^4 + a^6 - z^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26165] -> 
  -a^4 + 6*a^6 - 4*a^8 + 2*a^2*z^2 - 8*a^4*z^2 + 23*a^6*z^2 - 12*a^8*z^2 + 
   2*a^10*z^2 + a^2*z^4 - 10*a^4*z^4 + 24*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   3*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 26166] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 4*z^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   21*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 11*a^2*z^6 - 18*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26167] -> 4*a^6 - 3*a^8 + z^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 26168] -> -1 + 2*a^2 + a^4 - a^8 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26169] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + (9*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 
   3*z^4 + (8*z^4)/a^6 - (22*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (11*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 26170] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - (7*z^2)/a^6 + (12*z^2)/a^4 - 4*z^4 - 
   (8*z^4)/a^6 + (19*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^6 + 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 26171] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 26172] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 26173] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (7*z^2)/a^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26174] -> -a^(-4) + 2/a^2 - 4*z^2 + z^2/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 - (8*z^4)/a^6 + 
   (15*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^6 + (10*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^4 + z^8/a^2, Knot[14, NonAlternating, 26175] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (24*z^4)/a^6 - 
   (23*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 + (2*z^8)/a^6 - z^8/a^4, Knot[14, NonAlternating, 26176] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   a^4*z^2 + 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 26177] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 26178] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 7*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26179] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 26180] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + (5*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   5*z^4 + (7*z^4)/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26181] -> -1 + a^(-2) + a^2 - 5*z^2 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 26182] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 10*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26183] -> 4 - a^(-4) - 2*a^2 + 6*z^2 - z^2/a^6 - 
   2*a^4*z^2 + 3*z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 26184] -> -3/a^10 + 3/a^8 + a^(-6) - (2*z^2)/a^12 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^12 + (13*z^4)/a^10 - 
   (20*z^4)/a^8 + (15*z^4)/a^6 + (7*z^6)/a^10 - (21*z^6)/a^8 + (7*z^6)/a^6 + 
   z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 26185] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   z^2/a^16 - (11*z^2)/a^14 - (3*z^2)/a^12 + (28*z^2)/a^10 - (6*z^4)/a^14 - 
   (4*z^4)/a^12 + (51*z^4)/a^10 - z^6/a^14 - z^6/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 26186] -> 
  3*a^4 - 2*a^6 - 6*z^2 + 12*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - 11*z^4 + 
   28*a^2*z^4 - 10*a^4*z^4 - 6*z^6 + 23*a^2*z^6 - 6*a^4*z^6 - z^8 + 
   8*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26187] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 4*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26188] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 - (4*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 
   3*z^4 - (4*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   12*a^2*z^6 - 2*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 26189] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + 8*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - z^6 + 5*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 26190] -> 2*a^2 - a^4 - z^2/a^2 + 3*a^2*z^2 - 
   a^6*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 26191] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^6*z^2 + z^4 - 
   z^4/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 26192] -> -4/a^10 + 7/a^8 - 4/a^6 + 2/a^4 - 
   (4*z^2)/a^10 + (12*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26193] -> -2/a^10 + 2/a^8 + a^(-4) - z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 + z^4/a^8 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26194] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 20*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 - z^4/a^4 + (14*z^4)/a^2 + 
   13*a^2*z^4 - 2*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, Knot[14, NonAlternating, 26195] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26196] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   6/a^6 - (2*z^2)/a^12 + (10*z^2)/a^10 - (18*z^2)/a^8 + (15*z^2)/a^6 + 
   z^4/a^12 + (6*z^4)/a^10 - (17*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - 
   z^6/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 26197] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 - 
   z^2/a^8 + (8*z^2)/a^6 - (6*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 26198] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (6*z^2)/a^10 - 
   (11*z^2)/a^8 + (13*z^2)/a^6 + (2*z^4)/a^12 + (3*z^4)/a^10 - (14*z^4)/a^8 + 
   (12*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 26199] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 26200] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) + (3*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - z^6/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 26201] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 + (2*z^2)/a^10 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 26202] -> 
  3*a^8 - 2*a^12 + 3*a^6*z^2 + 11*a^8*z^2 - a^12*z^2 - a^14*z^2 + 4*a^6*z^4 + 
   10*a^8*z^4 + a^10*z^4 + a^12*z^4 + a^6*z^6 + 2*a^8*z^6, 
 Knot[14, NonAlternating, 26203] -> -3 + 8*a^2 - 4*a^4 - 4*z^2 - 
   (3*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   21*a^2*z^4 - 6*a^4*z^4 + 3*z^6 - z^6/a^2 + 10*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[14, NonAlternating, 26204] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 26205] -> 
  2*a^4 - a^6 + a^10 - a^12 + 5*a^4*z^2 - 2*a^8*z^2 + 3*a^10*z^2 + 
   2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 26206] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 3*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 - a^4*z^4 + 
   6*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - a^4*z^6 + 4*a^6*z^6 - 2*a^8*z^6 + 
   a^6*z^8, Knot[14, NonAlternating, 26207] -> 1 + a^2 - 3*a^4 + 3*a^6 - 
   a^8 + z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26208] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   z^4/a^2 + a^2*z^4 + 3*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26209] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 
   21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 19*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26210] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   5*z^2 - z^2/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + (18*z^2)/a^2 - 6*z^4 + 
   (6*z^4)/a^6 - (22*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26211] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (22*z^4)/a^2 - a^2*z^4 - z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 26212] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 - z^2/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 - z^4/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - z^6 + 
   12*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 26213] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 13*z^2 + z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 
   3*a^2*z^2 - 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26214] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 18*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 5*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26215] -> 3*a^8 + a^10 - 4*a^12 + a^14 + 
   12*a^8*z^2 + 7*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 17*a^8*z^4 + 
   9*a^10*z^4 - a^12*z^4 - a^14*z^4 + 8*a^8*z^6 + 3*a^10*z^6 + a^12*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 26216] -> -3 + 9*a^2 - 6*a^4 + a^6 - 
   11*z^2 + 27*a^2*z^2 - 14*a^4*z^2 + a^6*z^2 - 11*z^4 + 33*a^2*z^4 - 
   12*a^4*z^4 - 5*z^6 + 21*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26217] -> 
  3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 8*a^4*z^2 - 7*a^6*z^2 - 2*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 6*a^4*z^4 - 12*a^6*z^4 - a^8*z^4 + 3*a^10*z^4 + 
   a^4*z^6 - 7*a^6*z^6 - a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 26218] -> -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 
   19*z^2 - (7*z^2)/a^4 + (21*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 27*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26219] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 7*a^2*z^2 - 
   16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 + 6*a^2*z^4 - 19*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26220] -> -1 + a^(-2) + a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26221] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 26222] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26223] -> -5 + 3/a^2 + 3*a^2 - 5*z^2 + z^2/a^2 + 
   a^2*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 - z^6/a^2 - a^2*z^6 + 
   z^8, Knot[14, NonAlternating, 26224] -> -5/a^12 + 6/a^10 - (8*z^2)/a^12 + 
   (11*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^12 + (8*z^4)/a^10 + 
   (18*z^4)/a^8 + (2*z^6)/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 26225] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 26226] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 4*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + z^8, Knot[14, NonAlternating, 26227] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (16*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - (4*z^4)/a^12 + 
   (21*z^4)/a^10 - (23*z^4)/a^8 + (15*z^4)/a^6 + (9*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 26228] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 - (4*z^2)/a^12 + (9*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26229] -> -3/a^14 + a^(-12) + 3/a^10 - 
   (7*z^2)/a^14 - (3*z^2)/a^12 + (28*z^2)/a^10 - (5*z^4)/a^14 - 
   (4*z^4)/a^12 + (51*z^4)/a^10 - z^6/a^14 - z^6/a^12 + (35*z^6)/a^10 + 
   (10*z^8)/a^10 + z^10/a^10, Knot[14, NonAlternating, 26230] -> 
  -2/a^14 - a^(-12) + 4/a^10 - (3*z^2)/a^14 - (4*z^2)/a^12 + (16*z^2)/a^10 + 
   (8*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + (19*z^4)/a^10 + (14*z^4)/a^8 + 
   (8*z^6)/a^10 + (7*z^6)/a^8 + z^8/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 26231] -> -a^(-14) - 3/a^12 + 5/a^10 - 
   (2*z^2)/a^14 - (5*z^2)/a^12 + (13*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (15*z^4)/a^10 + (15*z^4)/a^8 + (7*z^6)/a^10 + (7*z^6)/a^8 + 
   z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 26232] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 2*z^2 - z^2/a^2 + 12*a^2*z^2 - 
   10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 26233] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   10*a^2*z^2 - a^6*z^2 - 15*z^4 - z^4/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 26234] -> 
  -a^(-14) - 3/a^12 + 5/a^10 - z^2/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 + 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (6*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 26235] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26236] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, Knot[14, NonAlternating, 26237] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*z^2 - z^2/a^2 - 5*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 26238] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - z^2/a^14 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 26239] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - 
   z^8, Knot[14, NonAlternating, 26240] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 26241] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 26242] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 4*a^2*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26243] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26244] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 14*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + 20*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 26245] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26246] -> 3 - a^(-2) - a^2 + 13*z^2 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 - (3*z^4)/a^4 + z^4/a^2 - 7*a^2*z^4 + 
   10*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26247] -> -2/a^12 + a^(-10) + a^(-8) + a^(-6) - 
   (5*z^2)/a^12 + (12*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (2*z^4)/a^12 + 
   (18*z^4)/a^10 - (21*z^4)/a^8 + (15*z^4)/a^6 + (8*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 26248] -> 3 - a^(-2) - a^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 - 5*z^4 - z^4/a^2 + 22*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 
   19*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26249] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26250] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (5*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 10*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26251] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   7*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26252] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 3*z^4 - z^4/a^2 + 20*a^2*z^4 - 
   8*a^4*z^4 - 4*z^6 + 18*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26253] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 - z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26254] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26255] -> 2*a^6 + a^8 - 2*a^10 + 3*a^4*z^2 + 
   9*a^8*z^2 - 4*a^10*z^2 + 2*a^4*z^4 - 4*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 - 
   2*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 26256] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - 
   (6*z^2)/a^10 + (15*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - (4*z^4)/a^10 + 
   (15*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 26257] -> 
  1 + 3*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 26258] -> -3 + a^(-4) + a^(-2) + a^2 + 
   a^4 - 10*z^2 + z^2/a^4 + (2*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 + z^4/a^4 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 26259] -> a^4 + 2*a^8 - 2*a^10 + 2*a^2*z^2 + 
   a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + a^2*z^4 - 3*a^4*z^4 + 4*a^8*z^4 - 
   a^10*z^4 - a^4*z^6 + a^8*z^6, Knot[14, NonAlternating, 26260] -> 
  -3/a^10 + 4/a^8 - a^(-4) + a^(-2) - (3*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^10 + (5*z^4)/a^8 - (4*z^4)/a^4 + 
   z^4/a^2 + z^6/a^8 - z^6/a^4, Knot[14, NonAlternating, 26261] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^6 + (5*z^2)/a^2 - 2*z^4 + (3*z^4)/a^4 + 
   2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 26262] -> 2 + a^(-4) - 2/a^2 + 6*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26263] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 26264] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26265] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 26266] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^2, Knot[14, NonAlternating, 26267] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26268] -> 
  4 + 3/a^4 - 6/a^2 + 4*z^2 + (8*z^2)/a^4 - (17*z^2)/a^2 + 2*a^2*z^2 - z^4 + 
   (7*z^4)/a^4 - (19*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26269] -> -3 + a^(-4) + 4*a^2 - a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26270] -> 2 + 3/a^4 - 5/a^2 + a^2 - z^2 + 
   (6*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26271] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 
   2*a^2 - 11*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 26272] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 26273] -> 
  3 + 3/a^4 - 5/a^2 - a^2 + a^4 + 5*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26274] -> 2 + 3/a^4 - 5/a^2 + a^2 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 + a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 26275] -> -2 + 5*a^2 - a^4 - a^6 - 9*z^2 + 
   19*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 28*a^2*z^4 - 6*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26276] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - (4*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   a^6*z^2 + 7*z^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26277] -> 
  -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^10 + (5*z^4)/a^8 - 
   (4*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 26278] -> 
  3 - 3*a^2 + a^6 + 7*z^2 + z^2/a^4 - (3*z^2)/a^2 - 10*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 10*a^2*z^4 + a^4*z^4 + 3*z^6 - 4*a^2*z^6 + 
   a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 26279] -> 
  1 + 2*z^2 - z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 - 
   z^4/a^6 + (7*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 26280] -> -4/a^12 + 4/a^10 + a^(-8) - z^2/a^14 - 
   (5*z^2)/a^12 + (7*z^2)/a^10 + (13*z^2)/a^8 - z^4/a^12 + (5*z^4)/a^10 + 
   (19*z^4)/a^8 + z^6/a^10 + (8*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 26281] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 + 
   (2*z^2)/a^10 + z^2/a^6 + (5*z^2)/a^4 + z^4/a^10 + z^4/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (6*z^6)/a^6 + z^6/a^4 - z^8/a^6, 
 Knot[14, NonAlternating, 26282] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 26283] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - a^2*z^2 + 
   4*z^4 - z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26284] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (2*z^2)/a^12 + (7*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (6*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[14, NonAlternating, 26285] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 26286] -> 
  1 + 3*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 4*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 26287] -> 
  -a^(-12) + 2/a^6 + (2*z^2)/a^10 + z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 + z^4/a^2 - z^6/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[14, NonAlternating, 26288] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 - 3*a^2*z^2 - a^4*z^2 + 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 26289] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 11*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 26290] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 
   7*z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 26291] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 
   a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 11*a^4*z^4 + 
   17*a^6*z^4 - 5*a^8*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26292] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 26293] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^12 + (10*z^2)/a^10 - 
   (13*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (10*z^4)/a^10 - (18*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (11*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 26294] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 - 
   3*a^2*z^2 + 2*z^4 - (6*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26295] -> -2 + 3/a^4 - 3/a^2 + 3*a^2 - 6*z^2 + 
   (11*z^2)/a^4 - (18*z^2)/a^2 + 7*a^2*z^2 - 8*z^4 + (9*z^4)/a^4 - 
   (24*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 26296] -> 
  -1 + 3/a^4 - 3/a^2 + a^2 + a^4 - 8*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 26297] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 26298] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 
   4*a^2*z^6 - a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 26299] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6/a^6 + z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 26300] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 4*z^2 - z^2/a^6 - (5*z^2)/a^4 + 
   (16*z^2)/a^2 - 2*a^2*z^2 + z^4 - (6*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26301] -> -2/a^6 + 3/a^4 - z^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 26302] -> -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (7*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^6/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26303] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + 5*a^2*z^4 - 2*a^4*z^4 + 2*z^6 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26304] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + z^6 + (2*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 26305] -> 
  2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + 
   4*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 26306] -> 
  1 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26307] -> 
  1 + 3/a^4 - 4/a^2 + a^4 + (6*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 26308] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26309] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - 
   z^2/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - 
   (5*z^4)/a^8 + (16*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + 
   (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 26310] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 5*z^2 - 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 26311] -> 
  -2 + a^(-4) + a^(-2) + a^6 - 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + z^6/a^2, 
 Knot[14, NonAlternating, 26312] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26313] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 26314] -> 
  -a^(-10) + 3/a^4 - a^(-2) - z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4 - (2*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 26315] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (4*z^2)/a^10 - (4*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 26316] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 26317] -> a^(-8) - 4/a^4 + 4/a^2 + z^2 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[14, NonAlternating, 26318] -> -4 + 3/a^4 - 2/a^2 + 4*a^2 - 
   10*z^2 + (10*z^2)/a^4 - (15*z^2)/a^2 + 8*a^2*z^2 - 10*z^4 + (8*z^4)/a^4 - 
   (21*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 + (2*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^2, Knot[14, NonAlternating, 26319] -> 
  3/a^4 - 3/a^2 - a^2 + 2*a^4 - 5*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 26320] -> 3/a^4 - 3/a^2 + a^6 - 3*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4, Knot[14, NonAlternating, 26321] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 20*z^6 - z^6/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 26322] -> 
  a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 6*a^2*z^2 - 18*a^4*z^2 + 29*a^6*z^2 - 
   13*a^8*z^2 + 2*a^10*z^2 + 5*a^2*z^4 - 26*a^4*z^4 + 37*a^6*z^4 - 
   15*a^8*z^4 + a^10*z^4 + a^2*z^6 - 13*a^4*z^6 + 24*a^6*z^6 - 7*a^8*z^6 - 
   2*a^4*z^8 + 8*a^6*z^8 - a^8*z^8 + a^6*z^10, 
 Knot[14, NonAlternating, 26323] -> -2 + a^(-4) + 2*a^2 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 26324] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 11*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + z^4 - 6*a^2*z^4 + 9*a^6*z^4 - 5*a^8*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 26325] -> a^2 + a^6 - a^8 - a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 26326] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + (5*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 26327] -> 
  a^2 + a^4 - a^6 - z^2 + a^2*z^2 + 3*a^4*z^2 - a^8*z^2 - z^4 + a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 26328] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - 
   z^2/a^6 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26329] -> 3/a^4 - 4/a^2 + 2*a^2 - 3*z^2 + 
   (7*z^2)/a^4 - (13*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26330] -> 1 + 3/a^4 - 4/a^2 + a^4 - 
   4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^4*z^2 - 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 26331] -> 2 - a^(-6) + a^(-4) - a^2 + 5*z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 26332] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 
   z^2 + 7*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   15*a^2*z^4 - 25*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26333] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 7*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26334] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26335] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^6 + (2*z^2)/a^4 - a^2*z^2 + z^4 - 
   z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26336] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 19*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + a^2*z^4 - 
   11*a^4*z^4 + 22*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 26337] -> 
  -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 14*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (24*z^4)/a^2 + a^2*z^4 - 6*z^6 + z^6/a^6 - (11*z^6)/a^4 + (19*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26338] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 26339] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 
   4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26340] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   14*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 28*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26341] -> 2 + 3/a^4 - 4/a^2 - 2*a^2 + 2*a^4 + 
   6*z^2 + (5*z^2)/a^4 - (13*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 7*z^4 + 
   (2*z^4)/a^4 - (11*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 4*z^6 - (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 26342] -> 
  3 + 3/a^4 - 5/a^2 - a^2 + a^4 + 3*z^2 + (6*z^2)/a^4 - (13*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26343] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 9*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 14*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26344] -> 3 - a^(-2) - a^2 + 10*z^2 - (6*z^2)/a^2 - 
   3*a^4*z^2 + 15*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 9*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26345] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - 
   (4*z^2)/a^10 + z^2/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^10 + (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26346] -> 2 + 3/a^4 - 4/a^2 - a^2 + a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 26347] -> a^(-8) - 4/a^6 + 4/a^4 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^8 - (7*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 26348] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26349] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^10 + 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^10 - (2*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 26350] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 26351] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2/a^10 + (4*z^2)/a^8 - (11*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (11*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 26352] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 26353] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) + z^2/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   z^4/a^10 - (7*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 26354] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 18*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 
   9*z^4 + 25*a^2*z^4 - 10*a^4*z^4 - 5*z^6 + 19*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26355] -> 
  3 - a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26356] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 + a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 + a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   a^2*z^6 - 5*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26357] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 
   8*z^2 - z^2/a^8 + (9*z^2)/a^6 - (22*z^2)/a^4 + (26*z^2)/a^2 - 9*z^4 + 
   (6*z^4)/a^6 - (25*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26358] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (8*z^4)/a^10 - 
   (18*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26359] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + 
   (9*z^4)/a^10 - (17*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26360] -> -a^(-8) + 2/a^4 - z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (8*z^4)/a^10 - 
   (16*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 26361] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (7*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 26362] -> 
  4*a^6 - 3*a^8 - 2*a^2*z^2 + 3*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 26363] -> 3*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26364] -> 
  -1 + 4*a^2 - 2*a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26365] -> 2/a^6 - 5/a^4 + 4/a^2 + (11*z^2)/a^6 - 
   (24*z^2)/a^4 + (12*z^2)/a^2 + (13*z^4)/a^6 - (37*z^4)/a^4 + (13*z^4)/a^2 + 
   (6*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26366] -> 
  -5 + 3/a^2 + 3*a^2 - 25*z^2 + (11*z^2)/a^2 + 11*a^2*z^2 - 37*z^4 + 
   (13*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 26367] -> 
  3 - 2*a^2 - 2*a^4 + 2*a^6 + 6*z^2 - 10*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 
   4*z^4 - 11*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 5*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26368] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 4*z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26369] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2/a^8 + 
   (6*z^2)/a^6 - (17*z^2)/a^4 + (9*z^2)/a^2 + (8*z^4)/a^6 - (26*z^4)/a^4 + 
   (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26370] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 
   4*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26371] -> -3/a^8 + 4/a^6 - z^2/a^12 + 
   (7*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 + (8*z^4)/a^10 - (20*z^4)/a^8 + 
   (13*z^4)/a^6 + (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 26372] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + a^2*z^8, 
 Knot[14, NonAlternating, 26373] -> -1 - a^(-6) + 3/a^2 - 7*z^2 - z^2/a^6 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 - (8*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26374] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 26375] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (13*z^2)/a^8 + (24*z^2)/a^6 - (6*z^2)/a^4 - (9*z^4)/a^8 + 
   (26*z^4)/a^6 - (7*z^4)/a^4 - (2*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 26376] -> 
  2*a^6 + a^8 - 2*a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   a^10*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 15*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 26377] -> 4*a^4 - 4*a^6 + a^8 - 5*a^2*z^2 + 
   15*a^4*z^2 - 9*a^6*z^2 + a^8*z^2 - 7*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 
   2*a^8*z^4 - 2*a^2*z^6 + 10*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 26378] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 
   2*z^2 + 2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + 3*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 26379] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 9*z^2 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 - (10*z^4)/a^4 + (29*z^4)/a^2 - 
   5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 26380] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 - z^2/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 2*z^6 + 
   10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 26381] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - (7*z^2)/a^8 + (19*z^2)/a^6 - 
   (4*z^2)/a^4 - (7*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - (2*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26382] -> 3*a^6 - a^8 - a^10 - 2*a^2*z^2 + 
   a^4*z^2 + 14*a^6*z^2 - 6*a^8*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 18*a^6*z^4 - 
   7*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[14, NonAlternating, 26383] -> 
  a^4 + a^6 - a^10 - z^2 + 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 
   6*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 26384] -> 3*a^6 - a^8 - a^10 - z^2 + a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 
   5*a^6*z^4 - 2*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 26385] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26386] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (24*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26387] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26388] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 - z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 26389] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26390] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - z^4 + 9*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 26391] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 + a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 4*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26392] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 5*a^4*z^2 + 
   18*a^6*z^2 - 2*a^8*z^2 - 3*a^10*z^2 - 6*a^4*z^4 + 20*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 26393] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 
   3*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 - 2*a^4*z^4 + 6*a^6*z^4 + 11*a^8*z^4 - 
   4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 26394] -> 
  -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 
   a^2*z^4 + a^4*z^4 + 10*a^6*z^4 - a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 26395] -> a^4 + 2*a^8 - 2*a^10 - a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 26396] -> -a^(-10) - a^(-8) + 3/a^6 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 26397] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26398] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 
   a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26399] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - z^4 + 4*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 
   3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 26400] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + z^2/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   8*z^4 + z^4/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 26401] -> 
  2*a^2 - a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 - 
   z^4/a^2 + 4*z^6 - z^6/a^2 - a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26402] -> -2 + a^(-2) + 3*a^2 - a^4 - 17*z^2 + 
   (7*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 26403] -> 3*a^6 - a^8 - a^10 - a^4*z^2 + 
   12*a^6*z^2 - 4*a^8*z^2 - 2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 6*a^8*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 26404] -> -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (11*z^2)/a^6 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + 
   (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 26405] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 10*a^2*z^2 - 19*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 - z^4 + 9*a^2*z^4 - 21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26406] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 + 
   z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (7*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 26407] -> 
  a^2 + a^6 - a^8 + z^2 + 2*a^6*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 
   2*a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26408] -> 1 - a^2 + a^4 + a^6 - a^8 - a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26409] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26410] -> -a^4 + 5*a^6 - 2*a^8 - a^10 - 3*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 - 7*a^4*z^4 + 23*a^6*z^4 - 7*a^8*z^4 - 
   5*a^4*z^6 + 18*a^6*z^6 - 5*a^8*z^6 - a^4*z^8 + 7*a^6*z^8 - a^8*z^8 + 
   a^6*z^10, Knot[14, NonAlternating, 26411] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (4*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^4 - (3*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   z^6/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 26412] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 - z^2/a^6 - 
   (6*z^2)/a^4 + (18*z^2)/a^2 - 8*z^4 - (3*z^4)/a^6 - z^4/a^4 + 
   (21*z^4)/a^2 - 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[14, NonAlternating, 26413] -> 
  3*a^6 - a^8 - a^10 + a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 26414] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + 
   z^2/a^2 - z^4/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 + z^6/a^8 + 
   z^6/a^6, Knot[14, NonAlternating, 26415] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26416] -> -a^4 + 6*a^6 - 4*a^8 - 4*a^4*z^2 + 
   17*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 - 6*a^4*z^4 + 19*a^6*z^4 + a^8*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 26417] -> 
  a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 2*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 - 
   2*a^4*z^4 + 5*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 26418] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (4*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26419] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - (6*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^4)/a^12 - z^4/a^10 - (12*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 26420] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   2*a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 - a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[14, NonAlternating, 26421] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 26422] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 13*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 26423] -> 
  5*a^6 - 5*a^8 + a^10 - a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 - 
   a^2*z^4 + a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - a^10*z^4 + a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 26424] -> 2 - 2*a^2 + 2*a^6 - a^8 + 
   4*z^2 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26425] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26426] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   11*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 26427] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 26428] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 
   2/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26429] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 26430] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[14, NonAlternating, 26431] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + 
   2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26432] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 26433] -> 4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (3*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 26434] -> 4*a^6 - 3*a^8 - a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 - a^2*z^4 + 9*a^6*z^4 - a^10*z^4 + a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 26435] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (5*z^2)/a^2 + a^2*z^2 - 4*z^4 + z^4/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26436] -> -1 - a^(-6) + 3/a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 26437] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26438] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (15*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^10 - (9*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 26439] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (25*z^2)/a^4 + (11*z^2)/a^2 - z^4/a^8 + (16*z^4)/a^6 - (35*z^4)/a^4 + 
   (12*z^4)/a^2 + (7*z^6)/a^6 - (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - 
   (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26440] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - (12*z^2)/a^8 + (26*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^4)/a^10 - (4*z^4)/a^8 + (25*z^4)/a^6 - (7*z^4)/a^4 - 
   z^6/a^10 + (2*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 26441] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 26442] -> -5 + 3/a^2 + 3*a^2 - 21*z^2 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 33*z^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 24*z^6 + 
   (6*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26443] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 11*z^2 + 
   (2*z^2)/a^4 + 5*a^2*z^2 - 10*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   5*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 26444] -> 3/a^6 - 7/a^4 + 5/a^2 + (8*z^2)/a^6 - 
   (19*z^2)/a^4 + (9*z^2)/a^2 + (9*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 + 
   (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26445] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 26*z^2 - z^2/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - 37*z^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + (6*z^6)/a^2 + 
   6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26446] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 9*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26447] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 + (5*z^2)/a^10 - (12*z^2)/a^8 + (14*z^2)/a^6 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (15*z^4)/a^8 + (12*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - 
   (9*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 26448] -> -3 + 2/a^2 + 2*a^2 - 17*z^2 + z^2/a^4 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 + z^4/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 
   20*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26449] -> -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26450] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 4*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26451] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2/a^2 - 
   a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26452] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + 18*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 7*z^4 + 22*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 2*z^6 + 11*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 26453] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^4, Knot[14, NonAlternating, 26454] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 
   2*a^6 - 20*z^2 + (6*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   23*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 - 11*z^6 + 
   z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26455] -> -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 
   3/a^4 - z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (4*z^6)/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 26456] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 7*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 4*z^4 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 
   3*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 26457] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + 3*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + 
   a^2*z^8, Knot[14, NonAlternating, 26458] -> a^(-8) - 4/a^4 + 4/a^2 + 
   (3*z^2)/a^8 + z^2/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^8 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26459] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + 2*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26460] -> 
  2 + a^2 - 5*a^4 + 3*a^6 + 3*z^2 + 5*a^2*z^2 - 24*a^4*z^2 + 12*a^6*z^2 + 
   z^4 + 8*a^2*z^4 - 37*a^4*z^4 + 13*a^6*z^4 + 5*a^2*z^6 - 25*a^4*z^6 + 
   6*a^6*z^6 + a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26461] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 
   2*z^2 + z^2/a^2 - 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 + 2*z^4 - 7*a^2*z^4 - 
   11*a^4*z^4 + 4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 26462] -> 3 - a^(-2) - a^2 + 8*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26463] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 18*z^2 + (3*z^2)/a^4 + z^2/a^2 + 9*a^2*z^2 - 
   28*z^4 + z^4/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 20*z^6 + (4*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26464] -> -3 + a^(-6) + 3*a^2 - 7*z^2 + z^2/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 26465] -> -a^(-8) + 2/a^4 + z^2/a^12 + z^2/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 26466] -> 4 - 2/a^2 - a^4 + 5*z^2 - (2*z^2)/a^4 + 
   3*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 26467] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26468] -> 2*a^4 - a^8 - a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - z^4 - a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 26469] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 19*z^2 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 28*z^4 + z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 20*z^6 + 
   (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26470] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + (9*z^4)/a^6 - (25*z^4)/a^4 + 
   (9*z^4)/a^2 + (5*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26471] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 7*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 26472] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 4*z^2 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26473] -> 
  -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 6*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 4*z^4 + 7*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, Knot[14, NonAlternating, 26474] -> 
  -2 + a^(-2) + 3*a^2 - a^4 + z^2 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 - z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26475] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 + 6*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 + 
   z^4 + 8*a^2*z^4 - 37*a^4*z^4 + 13*a^6*z^4 + 5*a^2*z^6 - 25*a^4*z^6 + 
   6*a^6*z^6 + a^2*z^8 - 8*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26476] -> 2 - 3*a^4 + 2*a^6 + 3*z^2 + z^2/a^2 - 
   4*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 + 2*z^4 - 7*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 4*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26477] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 - 10*z^4 - z^4/a^6 - 
   (6*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26478] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 - 5*z^4 - 
   z^4/a^2 + 24*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26479] -> 
  2*a^2 - a^4 + z^2 - z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 26480] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   (3*z^4)/a^8 - z^4/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^8 - 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 26481] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - z^4 + 8*a^2*z^4 - 
   15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 26482] -> 
  1 - a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 7*a^4*z^2 - 
   2*a^6*z^2 + 5*z^4 - z^4/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   4*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 26483] -> 
  -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 
   7*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 26484] -> 
  -a^(-10) - a^(-8) + 2/a^6 + 2/a^4 - a^(-2) - (5*z^2)/a^8 + (11*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - (6*z^4)/a^8 + (15*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 26485] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 + z^4/a^8 - (10*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4, 
 Knot[14, NonAlternating, 26486] -> -2/a^10 + 2/a^8 + a^(-4) + z^2/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (5*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 26487] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 26488] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^4 + 6*a^2*z^2 - 23*z^4 + 
   z^4/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 
   7*z^8 + z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 26489] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - z^2/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 
   6*z^4 - z^4/a^2 + 23*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26490] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4, Knot[14, NonAlternating, 26491] -> 
  -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^10 + (3*z^4)/a^8 + (2*z^4)/a^4 - 
   z^4/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 26492] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 2*z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26493] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 + 
   z^2/a^4 - 4*a^2*z^2 + 3*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 26494] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^4/a^12 - 
   z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6, Knot[14, NonAlternating, 26495] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + 
   (5*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 26496] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 9*z^4 + z^4/a^2 + 
   15*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26497] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 
   7*z^2 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 - 
   z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26498] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 26499] -> -a^(-10) + a^(-6) + a^(-4) + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 26500] -> -a^(-6) + a^(-4) + a^(-2) - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^2, Knot[14, NonAlternating, 26501] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26502] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 12*z^2 - 
   (5*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 15*z^4 - (6*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + 9*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26503] -> 4*a^8 - 2*a^10 - a^12 + 6*a^6*z^2 + 
   6*a^8*z^2 + a^10*z^2 - 2*a^12*z^2 + 7*a^6*z^4 + 2*a^8*z^4 + a^10*z^4 + 
   a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^12*z^6 - a^8*z^8 - 
   a^10*z^8, Knot[14, NonAlternating, 26504] -> 
  a^6 + 2*a^8 - a^10 - a^12 + 3*a^4*z^2 + 2*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + 
   2*a^4*z^4 + 2*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^6*z^6 - a^8*z^6 - 
   a^10*z^6, Knot[14, NonAlternating, 26505] -> 
  3 - 5*a^2 + 5*a^4 - 3*a^6 + a^8 + 3*z^2 - 11*a^2*z^2 + 10*a^4*z^2 - 
   4*a^6*z^2 + 3*z^4 - z^4/a^2 - 8*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 26506] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^6*z^4 + 2*z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 26507] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (22*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26508] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 26509] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   (5*z^2)/a^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 + 
   z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 26510] -> a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (2*z^2)/a^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (16*z^4)/a^6 - 
   (5*z^4)/a^4 - z^6/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + 
   z^8/a^8 + (2*z^8)/a^6, Knot[14, NonAlternating, 26511] -> 
  5 - 2/a^2 - 2*a^2 + 15*z^2 - (8*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 19*z^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 26512] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 26513] -> -a^(-8) + a^(-6) + a^(-2) + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^8 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4, Knot[14, NonAlternating, 26514] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (3*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 26515] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 
   (2*z^2)/a^4 - 2*a^2*z^2 - z^4 + z^4/a^4 + z^4/a^2 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 26516] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 + (3*z^4)/a^12 - (2*z^4)/a^10 - (13*z^4)/a^8 + 
   (12*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 26517] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + z^2/a^8 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26518] -> 4*a^4 - 4*a^6 + a^8 - 6*a^2*z^2 + 
   16*a^4*z^2 - 8*a^6*z^2 - 7*a^2*z^4 + 19*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 - 
   2*a^2*z^6 + 10*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 26519] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 3*z^2 + 
   3*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + 4*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 26520] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (5*z^2)/a^10 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - z^6/a^8, 
 Knot[14, NonAlternating, 26521] -> a^(-16) - a^(-14) - 6/a^12 + 7/a^10 - 
   (3*z^2)/a^14 - (11*z^2)/a^12 + (21*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^14 - 
   (2*z^4)/a^12 + (21*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 26522] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^4, 
 Knot[14, NonAlternating, 26523] -> 3 + a^(-6) - 3/a^2 + 3*z^2 + z^2/a^8 - 
   z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26524] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   2*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26525] -> 5*a^8 - 4*a^10 + a^4*z^2 + 4*a^6*z^2 + 
   8*a^8*z^2 - 2*a^10*z^2 - a^12*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 - a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 26526] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 - (3*z^2)/a^14 - (8*z^2)/a^12 + (13*z^2)/a^10 + (9*z^2)/a^8 - 
   z^4/a^14 - z^4/a^12 + (16*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 26527] -> -2*a^2 + 5*a^4 - 2*a^8 - 8*a^2*z^2 + 
   18*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 - 8*a^2*z^4 + 21*a^4*z^4 + 4*a^6*z^4 - 
   4*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 26528] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - 
   3*z^2 + 3*a^2*z^2 + 8*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   8*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 26529] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   11*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + z^6/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 26530] -> 
  2 - a^(-2) + a^2 - a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 - z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 26531] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26532] -> 1 - a^6 + 2*a^8 - a^10 + 3*z^2 - 
   3*a^2*z^2 - 3*a^6*z^2 + 4*a^8*z^2 + z^4 - 7*a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 26533] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 + z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 2*a^4*z^2 - 4*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   5*a^4*z^4 - a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26534] -> 1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 + 
   4*z^2 + z^2/a^4 - (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 3*z^6 - 3*a^2*z^6 + a^4*z^6 - 
   a^2*z^8, Knot[14, NonAlternating, 26535] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 
   z^2 + 7*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 26536] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 26537] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 26538] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 + z^8/a^6, Knot[14, NonAlternating, 26539] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^8/a^6, Knot[14, NonAlternating, 26540] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + z^6/a^6, 
 Knot[14, NonAlternating, 26541] -> 3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 
   7*z^2 - z^2/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 - (10*z^4)/a^2 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 26542] -> 3 - a^(-10) + 2/a^8 + a^(-6) - 2/a^4 - 
   2/a^2 + 4*z^2 + (4*z^2)/a^8 - (7*z^2)/a^4 - (4*z^2)/a^2 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2, Knot[14, NonAlternating, 26543] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + z^6/a^6, Knot[14, NonAlternating, 26544] -> 
  7 - 4/a^2 - 2*a^4 + 18*z^2 - (10*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 + 19*z^4 - (6*z^4)/a^2 + 5*a^2*z^4 - a^6*z^4 + 8*z^6 - z^6/a^2 + 
   2*a^2*z^6 + a^4*z^6 + z^8, Knot[14, NonAlternating, 26545] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 6*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 + a^4*z^4 + z^6 + z^6/a^2, Knot[14, NonAlternating, 26546] -> 
  a^(-16) - 8/a^12 + 8/a^10 - (2*z^2)/a^14 - (12*z^2)/a^12 + (18*z^2)/a^10 + 
   (8*z^2)/a^8 - (3*z^4)/a^12 + (16*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 26547] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - 
   (21*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + (13*z^4)/a^10 - (22*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 26548] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 5*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 
   5*z^4 + 12*a^2*z^4 - a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 3*a^4*z^6 - z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26549] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - 
   (21*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 + (13*z^4)/a^10 - (22*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^10 - (12*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 26550] -> 
  -11 + 3/a^2 + 15*a^2 - 6*a^4 - 25*z^2 + (6*z^2)/a^2 + 32*a^2*z^2 - 
   10*a^4*z^2 - 20*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 6*a^4*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26551] -> -7 + 2/a^6 - 10/a^4 + 15/a^2 + a^2 - 
   17*z^2 + (3*z^2)/a^6 - (18*z^2)/a^4 + (32*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 26552] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 26553] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 7*a^4*z^2 + 26*a^6*z^2 - 11*a^8*z^2 - 7*a^4*z^4 + 
   27*a^6*z^4 - 8*a^8*z^4 - 2*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 26554] -> -3 + 8*a^2 - 4*a^4 - 7*z^2 + 21*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   z^6 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26555] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 8*z^2 + 
   (5*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (23*z^4)/a^2 - z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 26556] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (24*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^10 - (11*z^4)/a^8 + 
   (22*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^8)/a^6, Knot[14, NonAlternating, 26557] -> 
  -5 - 3/a^4 + 8/a^2 + a^4 - 19*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 23*z^4 - z^4/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 + 
   a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 26558] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - 
   2*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   8*a^6*z^4 - 2*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 26559] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 26560] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26561] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 26562] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 
   9*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26563] -> -7 + 4/a^2 + 4*a^2 - 22*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 26564] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - 
   z^4 - z^4/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 26565] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 
   3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 26566] -> -3 + a^(-8) - 4/a^6 + 3/a^4 + 3/a^2 + 
   a^2 - 7*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 26567] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 + 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 26568] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 26569] -> 
  2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + 
   (36*z^2)/a^6 - (28*z^2)/a^4 + (9*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (38*z^4)/a^6 - (30*z^4)/a^4 + (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - 
   (14*z^6)/a^4 + z^6/a^2 - z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 26570] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 
   4/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (36*z^2)/a^6 - (28*z^2)/a^4 + 
   (9*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + (38*z^4)/a^6 - (30*z^4)/a^4 + 
   (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 26571] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 
   4/a^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (36*z^2)/a^6 - (28*z^2)/a^4 + 
   (9*z^2)/a^2 + (2*z^4)/a^10 - (17*z^4)/a^8 + (38*z^4)/a^6 - (30*z^4)/a^4 + 
   (6*z^4)/a^2 - (8*z^6)/a^8 + (23*z^6)/a^6 - (14*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 26572] -> a^(-10) - 5/a^8 + 5/a^6 + (4*z^2)/a^10 - 
   (11*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + (2*z^4)/a^10 - 
   (10*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (4*z^6)/a^8 - 
   z^6/a^6, Knot[14, NonAlternating, 26573] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26574] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 15*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26575] -> 
  3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^4 - z^6/a^2, Knot[14, NonAlternating, 26576] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 2*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 16*a^6*z^4 - 6*a^8*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   9*a^6*z^6 - 2*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 26577] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 
   2*z^2 + 15*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   17*a^2*z^4 - 31*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 
   20*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26578] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 
   2*z^2 + 14*a^2*z^2 - 22*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   17*a^2*z^4 - 30*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 
   20*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26579] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 
   4/a^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (31*z^2)/a^6 - (25*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (15*z^4)/a^8 + (37*z^4)/a^6 - (28*z^4)/a^4 + 
   (5*z^4)/a^2 - (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 + (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[14, NonAlternating, 26580] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + (10*z^2)/a^2 - 
   z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 + z^6/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 26581] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 26582] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - 
   a^4 - 22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 
   18*z^4 - z^4/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 7*z^6 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8, Knot[14, NonAlternating, 26583] -> 
  a^(-14) - 6/a^12 + 10/a^10 - 9/a^8 + 5/a^6 - (8*z^2)/a^12 + (26*z^2)/a^10 - 
   (28*z^2)/a^8 + (18*z^2)/a^6 - (2*z^4)/a^12 + (25*z^4)/a^10 - 
   (39*z^4)/a^8 + (20*z^4)/a^6 + (9*z^6)/a^10 - (28*z^6)/a^8 + (8*z^6)/a^6 + 
   z^8/a^10 - (9*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 26584] -> a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 
   5/a^6 - (5*z^2)/a^12 + (15*z^2)/a^10 - (17*z^2)/a^8 + (14*z^2)/a^6 + 
   (9*z^4)/a^10 - (15*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^10 - (7*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^8, Knot[14, NonAlternating, 26585] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (10*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 26586] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 3*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 26587] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   16*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26588] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^2, Knot[14, NonAlternating, 26589] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 
   2*a^8 - 6*z^2 + 21*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26590] -> 
  -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 21*a^2*z^2 - 26*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 22*a^2*z^4 - 31*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - z^6 + 11*a^2*z^6 - 20*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 26591] -> 
  a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 26592] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 26593] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 26*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   12*a^2*z^2 - a^4*z^2 - 26*z^4 - z^4/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 26594] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^4, Knot[14, NonAlternating, 26595] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26596] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 - (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 26597] -> 
  -8 - 2/a^4 + 8/a^2 + 2*a^2 + a^4 - 23*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4 - 8*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 26598] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 19*a^2*z^2 - 21*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - z^6 + 11*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 26599] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 26600] -> -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 26601] -> 
  3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 - 8*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26602] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^4/a^10 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 26603] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 - z^4 - (5*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 26604] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (12*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26605] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4, Knot[14, NonAlternating, 26606] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (14*z^4)/a^6 - (3*z^4)/a^4 - (5*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^8)/a^6, Knot[14, NonAlternating, 26607] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 26608] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 21*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 24*z^4 - z^4/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 + 
   a^4*z^4 - 12*z^6 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 26609] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, 
 Knot[14, NonAlternating, 26610] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^2, Knot[14, NonAlternating, 26611] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 18*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - z^6 + 11*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 26612] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (22*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^8 + (11*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 + (3*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 26613] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   7*z^2 - z^2/a^6 + (4*z^2)/a^4 + a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6 - z^6/a^2, Knot[14, NonAlternating, 26614] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + z^2 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 26615] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 
   8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26616] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 
   a^2*z^4 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 26617] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26618] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^4, Knot[14, NonAlternating, 26619] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 - z^6/a^2, Knot[14, NonAlternating, 26620] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - z^4 - (5*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 26621] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26622] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 2*a^8*z^4 - a^2*z^6 + 5*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 26623] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   2*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   9*a^4*z^4 + 14*a^6*z^4 - 5*a^8*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26624] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   4*a^4*z^2 + 3*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 5*a^6*z^4 - 
   11*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 26625] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26626] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   9*z^2 + z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 15*z^4 + 
   (5*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26627] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 16*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 21*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26628] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26629] -> 2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 6*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 5*a^2*z^4 + 
   6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 26630] -> -3 + a^(-8) - 2/a^6 + a^(-4) + 
   2/a^2 + 2*a^2 - 6*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - z^4/a^6 + (6*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 26631] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   4*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + z^4/a^4 - (6*z^4)/a^2 + 
   z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26632] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   (16*z^2)/a^8 + (15*z^2)/a^6 + (9*z^4)/a^10 - (20*z^4)/a^8 + (13*z^4)/a^6 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 26633] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26634] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + 
   z^4/a^2 + 20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 26635] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 14*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 14*z^4 + z^4/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 - 6*z^6 + 18*a^2*z^6 - 6*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26636] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (20*z^2)/a^4 + (9*z^2)/a^2 - z^4/a^8 + (13*z^4)/a^6 - (27*z^4)/a^4 + 
   (9*z^4)/a^2 + (6*z^6)/a^6 - (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26637] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (11*z^4)/a^2 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 26638] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 - 4*z^6 + 
   15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 26639] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 + 14*a^2*z^2 - 18*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - z^6 + 
   5*a^2*z^6 - 4*a^4*z^6 + a^2*z^8, Knot[14, NonAlternating, 26640] -> 
  2 - 5*a^4 + 6*a^6 - 2*a^8 + 3*z^2 - 2*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + z^4 - a^2*z^4 - 13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 26641] -> 
  2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 5*a^4*z^2 + 4*a^6*z^2 - 
   13*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 4*a^6*z^4 - 13*a^8*z^4 + 
   4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 26642] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 30*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26643] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   z^2/a^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 
   a^4*z^6, Knot[14, NonAlternating, 26644] -> a^2 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 
   3*a^4*z^4 - 4*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 26645] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26646] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 
   15*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 + 4*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26647] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 5*a^2*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + a^2*z^6 - z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 26648] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 - z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 26649] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 + 
   z^4/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26650] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 
   4*z^2 + z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26651] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 6*a^2*z^4 + 
   2*a^6*z^4 + z^6 - 5*a^2*z^6 - a^2*z^8, Knot[14, NonAlternating, 26652] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 26653] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 3*z^2 + 11*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 7*z^4 + z^4/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 3*z^6 + 
   9*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 26654] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 + (7*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 + (4*z^6)/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26655] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 8*z^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 26656] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   10*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 
   25*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26657] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 
   3*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + (2*z^6)/a^6 - (7*z^6)/a^4 - 
   z^8/a^4, Knot[14, NonAlternating, 26658] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - 
   a^4 - 23*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   29*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 20*z^6 - 
   z^6/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26659] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 26660] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 26661] -> -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 26662] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 + (4*z^2)/a^10 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, Knot[14, NonAlternating, 26663] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 13*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 14*a^4*z^4 + 
   a^6*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 2*z^8 + 7*a^2*z^8 - 
   a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26664] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 14*a^4*z^2 + 
   19*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 + 2*a^2*z^4 - 14*a^4*z^4 + 
   20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 26665] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - 24*z^4 + (11*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26666] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 - 
   z^2/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 30*z^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 
   20*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26667] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 + 
   (12*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 + (10*z^4)/a^6 - (31*z^4)/a^4 + 
   (10*z^4)/a^2 + (5*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26668] -> 
  -4 - a^(-6) + 3/a^4 + 3*a^2 - 7*z^2 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 26669] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 
   5*z^2 + (6*z^2)/a^6 - (7*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (8*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26670] -> 
  1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26671] -> -a^4 + 6*a^6 - 4*a^8 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + z^4 - 6*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*a^2*z^6 + 4*a^4*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 26672] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 7*z^2 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26673] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26674] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   2*z^2 + 11*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   10*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 26675] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (22*z^2)/a^2 - 10*z^4 - (11*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 - 
   (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26676] -> a^(-6) - a^(-4) + a^2 - z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26677] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2/a^2 - 2*a^2*z^2 + 2*a^6*z^2 - 2*z^4 - a^2*z^4 - 
   a^6*z^4 + a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 26678] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 26679] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (9*z^2)/a^14 - 
   (6*z^2)/a^12 + (24*z^2)/a^10 + (3*z^2)/a^8 - (6*z^4)/a^14 + z^4/a^12 + 
   (34*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + (4*z^6)/a^12 + (18*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 26680] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + 
   (5*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 26681] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 26682] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 + z^2/a^4 - (5*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 
   2*z^4 - z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - a^2*z^6, 
 Knot[14, NonAlternating, 26683] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 
   3/a^2 + 2*z^2 + (5*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26684] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 3*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26685] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^4 + z^6/a^2, Knot[14, NonAlternating, 26686] -> 
  1 - 2*a^4 + 3*a^6 - a^10 + 3*z^2 - 4*a^2*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 
   z^4 - 7*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 2*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + a^4*z^8, Knot[14, NonAlternating, 26687] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26688] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*z^4 - a^2*z^4 - a^4*z^4 - a^6*z^4 + 
   a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 26689] -> 
  -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - a^2*z^4, 
 Knot[14, NonAlternating, 26690] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 26691] -> 1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*z^4 - z^4/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26692] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 26693] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 26694] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (16*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - (4*z^4)/a^12 + 
   (21*z^4)/a^10 - (23*z^4)/a^8 + (15*z^4)/a^6 + (9*z^6)/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + z^8/a^10 - (8*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[14, NonAlternating, 26695] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 
   3/a^6 - (4*z^2)/a^12 + (9*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^6/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26696] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + a^4*z^2 + z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26697] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   2*z^2 - z^2/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + z^6 + 2*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 26698] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - 
   z^8, Knot[14, NonAlternating, 26699] -> -a^(-10) - a^(-8) + 3/a^6 - 
   z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^10 + z^4/a^8 + 
   z^4/a^4 + z^4/a^2 - z^6/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 26700] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26701] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 26702] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   2*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 26703] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - z^2 - (3*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 - 
   4*z^4 - z^4/a^2 + 25*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26704] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 
   22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 - z^4/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*z^8, 
 Knot[14, NonAlternating, 26705] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26706] -> -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 - (2*z^6)/a^2, Knot[14, NonAlternating, 26707] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + a^2*z^4 + 
   a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - z^8, Knot[14, NonAlternating, 26708] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (8*z^2)/a^10 - 
   (14*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (4*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 26709] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   4*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   20*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 11*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26710] -> a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 
   2/a^6 + z^2/a^14 - (9*z^2)/a^12 + (16*z^2)/a^10 - (10*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^4)/a^12 + (17*z^4)/a^10 - (15*z^4)/a^8 + 
   (11*z^4)/a^6 + (5*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 26711] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   7*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 9*a^4*z^4 + 
   20*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 26712] -> 
  -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 12*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + z^4/a^6 - (12*z^4)/a^4 + (17*z^4)/a^2 + 
   a^2*z^4 - 6*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26713] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + (9*z^2)/a^6 - (18*z^2)/a^4 + 
   (9*z^2)/a^2 + (9*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - 
   (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26714] -> -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 + 
   (7*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 25*z^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 
   19*z^6 + (5*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26715] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 26716] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26717] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 + 
   (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 26718] -> -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^2 - 3*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 26719] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26720] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 5*z^4 + (3*z^4)/a^4 + 4*a^2*z^4 - 3*z^6 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26721] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (11*z^2)/a^2 + (10*z^4)/a^6 - (30*z^4)/a^4 + 
   (10*z^4)/a^2 + (5*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26722] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 21*z^2 + (8*z^2)/a^2 + 14*a^2*z^2 - 
   2*a^4*z^2 - 28*z^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 20*z^6 + (5*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26723] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   9*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - z^6 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 26724] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   6*z^2 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 4*z^4 + 
   7*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 26725] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 26726] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26727] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 
   9*z^2 + (4*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 26728] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 26729] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (12*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 26730] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^2 - 
   z^8, Knot[14, NonAlternating, 26731] -> -1 + a^(-2) + a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26732] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 10*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26733] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (3*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 26734] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + z^4/a^2 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 26735] -> 
  -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - z^4/a^2 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 26736] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 + (4*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - (4*z^4)/a^8 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 26737] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 - 
   8*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26738] -> 
  a^(-14) - 4/a^12 + 3/a^10 + a^(-4) - (4*z^2)/a^12 + (8*z^2)/a^10 - 
   z^2/a^6 + (5*z^2)/a^4 + (5*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^6)/a^8 - (2*z^6)/a^6, 
 Knot[14, NonAlternating, 26739] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   z^2/a^8 - z^2/a^4 + z^2/a^2 + 2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 26740] -> 
  1 + z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 
   2*a^4*z^8, Knot[14, NonAlternating, 26741] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 + z^2/a^6 + z^2/a^2 + 3*a^2*z^2 - 
   13*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 26742] -> 
  -6 + 2/a^6 - 3/a^4 + 4/a^2 + 4*a^2 - 19*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (24*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26743] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 
   3*z^2 + (10*z^2)/a^6 - (18*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 26744] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - (2*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 
   6*z^4 - z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26745] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^8 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26746] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   2*a^2*z^2 - 7*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 
   9*a^4*z^4 + 20*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 3*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^6*z^8, Knot[14, NonAlternating, 26747] -> 
  -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 18*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (24*z^4)/a^2 + 4*a^2*z^4 - 11*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26748] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26749] -> -a^(-6) + a^(-4) + a^(-2) - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26750] -> -2 + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   2*a^4 - 6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26751] -> -1 - 2/a^4 + 4/a^2 + z^2 + (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26752] -> -3 + a^(-4) + a^(-2) + 2*a^2 - a^4 + 
   a^6 - 3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26753] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[14, NonAlternating, 26754] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 13*z^2 - (8*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + 14*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 
   4*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26755] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*z^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26756] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + (2*z^8)/a^2, Knot[14, NonAlternating, 26757] -> 
  a^8 + 4*a^10 - 4*a^12 + 13*a^8*z^2 + 7*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 
   18*a^8*z^4 + 6*a^10*z^4 - a^14*z^4 + 8*a^8*z^6 + 2*a^10*z^6 + a^12*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 26758] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 - z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26759] -> a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 26760] -> 
  a^(-6) - a^(-4) + a^2 - 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 + z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - 2*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26761] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^2 + (2*z^6)/a^6 + z^6/a^4, 
 Knot[14, NonAlternating, 26762] -> a^2 + a^6 - a^8 + z^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26763] -> -1 + a^(-2) + 2*a^4 - a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26764] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (8*z^4)/a^6 - 
   (15*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 26765] -> 
  2 - a^2 - a^4 + a^6 - 2*z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 - 2*z^8 + 6*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26766] -> 1 - 5*z^2 + z^2/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 14*z^4 + z^4/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26767] -> a^2 + a^6 - a^8 + 5*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 + 8*a^2*z^4 - 20*a^4*z^4 + 8*a^6*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 
   5*a^6*z^6 + a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26768] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26769] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + z^6 - 3*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26770] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + z^6/a^4, Knot[14, NonAlternating, 26771] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^2 - z^4/a^10 + (4*z^4)/a^8 - (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 - 
   z^6/a^4, Knot[14, NonAlternating, 26772] -> 2 + a^(-4) - 2/a^2 + z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + a^4*z^2 + (3*z^4)/a^4 - (9*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + z^6 - (4*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26773] -> -5/a^8 + 8/a^6 - 2/a^4 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - (6*z^4)/a^8 + (18*z^4)/a^6 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 26774] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + z^2/a^10 - z^2/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 - z^2/a^2 - (6*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, 
 Knot[14, NonAlternating, 26775] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 4*z^2 + 
   (5*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26776] -> 2 + a^(-8) - a^(-6) - a^(-2) - z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^2, Knot[14, NonAlternating, 26777] -> 
  a^(-4) - 2*a^2 + 2*a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 26778] -> 
  -1 + 4*a^2 - 2*a^4 - 8*z^2 + 17*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - 10*z^4 + 
   27*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 - 5*z^6 + 20*a^2*z^6 - 4*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26779] -> 
  4 - a^(-4) - 2*a^2 + 11*z^2 - (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   12*z^4 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26780] -> 
  2*a^8 + 2*a^10 - 3*a^12 + 5*a^6*z^2 + 7*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - 
   a^14*z^2 + 5*a^6*z^4 + 6*a^8*z^4 + 2*a^10*z^4 + a^12*z^4 + a^6*z^6 + 
   a^8*z^6, Knot[14, NonAlternating, 26781] -> 
  2*a^2 - a^4 + 2*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   6*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26782] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + (6*z^2)/a^6 - (11*z^2)/a^4 + 3*z^4 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26783] -> 3*a^6 - a^8 - a^10 + 2*a^4*z^2 + 
   4*a^6*z^2 + 2*a^8*z^2 - a^12*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 4*a^8*z^4 + 
   a^10*z^4 + a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 26784] -> -3 + 3/a^2 + a^4 - a^6 + a^8 - 7*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26785] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 26786] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 26787] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 
   2*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 26788] -> 
  2*a^2 - a^4 - 2*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 - 5*z^4 - 
   z^4/a^2 + 23*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 5*a^4*z^6 - z^8 + 
   7*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26789] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - z^2/a^4 + 7*a^2*z^2 - 4*a^4*z^2 + 
   3*z^4 - z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 3*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26790] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 + z^4/a^8 + (6*z^4)/a^6 - (28*z^4)/a^4 + (10*z^4)/a^2 + 
   (4*z^6)/a^6 - (20*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26791] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26792] -> -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + 6*a^2*z^4 - 2*a^4*z^4 + 
   2*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26793] -> 1 + a^(-8) + a^(-6) - 5/a^4 + 3/a^2 + 
   3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + 3*z^4 + 
   (5*z^4)/a^6 - (16*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26794] -> 2/a^10 - 5/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (11*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 26795] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^10 - 
   (5*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + z^6/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 26796] -> -4/a^10 + 5/a^8 - z^2/a^14 + z^2/a^12 - 
   (7*z^2)/a^10 + (15*z^2)/a^8 + (2*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 + 
   (13*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 26797] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26798] -> -3/a^8 + 4/a^6 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (5*z^4)/a^8 + (13*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 26799] -> 
  2*a^2 - a^4 - z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26800] -> a^(-8) + 2/a^6 - 8/a^4 + 6/a^2 + 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (30*z^2)/a^4 + (15*z^2)/a^2 + z^4/a^8 + 
   (10*z^4)/a^6 - (41*z^4)/a^4 + (14*z^4)/a^2 + (5*z^6)/a^6 - (26*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26801] -> 2 + a^(-8) + a^(-6) - 4/a^4 + a^(-2) + 
   5*z^2 + z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 - (5*z^2)/a^2 + 4*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (9*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26802] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (3*z^2)/a^8 + (5*z^2)/a^6 - (23*z^2)/a^4 + 
   (13*z^2)/a^2 + z^4/a^8 + (8*z^4)/a^6 - (37*z^4)/a^4 + (13*z^4)/a^2 + 
   (5*z^6)/a^6 - (25*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26803] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 4*z^2 + z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26804] -> 2 + a^(-8) - 2/a^4 + 5*z^2 + z^2/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 - (7*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 26805] -> a^(-8) + a^(-6) - 6/a^4 + 
   5/a^2 + (12*z^2)/a^6 - (29*z^2)/a^4 + (14*z^2)/a^2 + (14*z^4)/a^6 - 
   (41*z^4)/a^4 + (14*z^4)/a^2 + (6*z^6)/a^6 - (26*z^6)/a^4 + (6*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26806] -> a^6 + 4*a^10 - 5*a^12 + a^14 + 
   11*a^6*z^2 - 11*a^8*z^2 + 21*a^10*z^2 - 11*a^12*z^2 + a^14*z^2 + 
   15*a^6*z^4 - 24*a^8*z^4 + 25*a^10*z^4 - 5*a^12*z^4 + 7*a^6*z^6 - 
   21*a^8*z^6 + 10*a^10*z^6 + a^6*z^8 - 8*a^8*z^8 + a^10*z^8 - a^8*z^10, 
 Knot[14, NonAlternating, 26807] -> a^(-8) - 2/a^4 + a^(-2) + a^2 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 26808] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 
   12*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26809] -> 2 + a^(-8) - 2/a^4 + 4*z^2 + z^2/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (5*z^4)/a^6 - 
   (16*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^6 - (9*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 26810] -> 
  3 + a^(-8) - a^(-4) - 2/a^2 + 6*z^2 + z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (8*z^2)/a^2 + 4*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26811] -> 1 + a^(-8) - a^(-4) - a^(-2) + a^2 - 
   z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26812] -> -2/a^8 + 2/a^6 + a^(-4) + z^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 26813] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + a^4*z^6 + 2*a^6*z^6, 
 Knot[14, NonAlternating, 26814] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^4 - 
   4*a^2*z^2 - 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 26815] -> 
  5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 14*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 6*a^2*z^2 + 14*z^4 - z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   6*z^6 - z^6/a^2 - a^2*z^6 + z^8, Knot[14, NonAlternating, 26816] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*z^4 + z^4/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26817] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 2*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   a^4*z^2 - (4*z^4)/a^2 - 2*a^2*z^4 + z^6, 
 Knot[14, NonAlternating, 26818] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 - a^4*z^2 + 12*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 - a^2*z^4 - 
   3*a^4*z^4 + 13*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[14, NonAlternating, 26819] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   10*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 16*z^4 + 
   (5*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + (4*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26820] -> 2 - a^2 - a^4 + a^6 + z^2 - a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 - 3*z^6 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 26821] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 26822] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 + z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26823] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + z^2 - (5*z^2)/a^2 + a^2*z^2 - z^4 + 
   z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26824] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^2 - 6*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26825] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 - 
   5*z^4 - z^4/a^2 + 24*a^2*z^4 - 9*a^4*z^4 - 4*z^6 + 19*a^2*z^6 - 
   5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 26826] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (21*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - 
   (3*z^4)/a^8 + (20*z^4)/a^6 - (36*z^4)/a^4 + (12*z^4)/a^2 + (8*z^6)/a^6 - 
   (24*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26827] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 20*a^6*z^4 - 6*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26828] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 - 
   (6*z^4)/a^4 + (22*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - z^6/a^4 + (11*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (2*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26829] -> a^(-2) - a^6 + a^8 + z^2 - (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 
   z^6, Knot[14, NonAlternating, 26830] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 5*a^2*z^4 - 
   a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26831] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^6 + (6*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[14, NonAlternating, 26832] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - z^6/a^2, 
 Knot[14, NonAlternating, 26833] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 
   3*z^2 + a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 + z^4 - a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26834] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 
   4*a^4*z^2 + 7*a^6*z^2 - 14*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 5*a^6*z^4 - 
   13*a^8*z^4 + 4*a^10*z^4 - a^4*z^6 + 3*a^6*z^6 - 4*a^8*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 26835] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 28*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 + (6*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26836] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (11*z^2)/a^8 + (28*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - (14*z^4)/a^8 + (37*z^4)/a^6 - (27*z^4)/a^4 + (5*z^4)/a^2 - 
   (7*z^6)/a^8 + (24*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^8 + 
   (8*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[14, NonAlternating, 26837] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 + z^2/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - a^4*z^6, 
 Knot[14, NonAlternating, 26838] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 2*a^4*z^4 - 
   4*a^8*z^4 + a^6*z^6, Knot[14, NonAlternating, 26839] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 26840] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 26841] -> -3 - 2/a^4 + 5/a^2 + a^2 - 3*z^2 + 
   (3*z^2)/a^2 + a^2*z^2 + z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26842] -> 
  -3 + 2/a^2 + 2*a^2 - 17*z^2 - z^2/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + (8*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 26843] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^6, 
 Knot[14, NonAlternating, 26844] -> 1 + a^2 - a^4 - a^6 + a^8 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 + 2*z^6 - 3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26845] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 26846] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + z^4 - z^4/a^8 + (6*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 26847] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (7*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + (8*z^4)/a^10 - 
   (17*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26848] -> -5 + 3/a^2 + 3*a^2 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 26849] -> 3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 26850] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - (3*z^2)/a^14 - (8*z^2)/a^12 + 
   (17*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^14 - (2*z^4)/a^12 + (18*z^4)/a^10 + 
   (13*z^4)/a^8 + z^4/a^6 + z^6/a^12 + (6*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 26851] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + 
   13*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 18*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 2*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 26852] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 26853] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26854] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (10*z^2)/a^14 - (4*z^2)/a^12 + (25*z^2)/a^10 + (2*z^2)/a^8 - 
   (6*z^4)/a^14 + (2*z^4)/a^12 + (35*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^14 + 
   (4*z^6)/a^12 + (18*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[14, NonAlternating, 26855] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26856] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (4*z^2)/a^12 + (11*z^2)/a^10 + (10*z^2)/a^8 - 
   z^4/a^14 + z^4/a^12 + (13*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 26857] -> -2 + a^(-4) + 2*a^2 - 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^2 + a^4*z^2 - z^4 - (2*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^2, Knot[14, NonAlternating, 26858] -> 2*a^2 - a^4 - a^6 + 2*a^8 - 
   a^10 + z^2 + a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + z^4 - 4*a^2*z^4 + 
   3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 26859] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26860] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 26861] -> 
  -2/a^6 + 3/a^4 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26862] -> 
  1 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (4*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26863] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 + (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^4, Knot[14, NonAlternating, 26864] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 4*z^2 + 15*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   20*a^2*z^4 - 26*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - z^6 + 11*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26865] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   2/a^4 - z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 - (4*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 + z^8/a^6, Knot[14, NonAlternating, 26866] -> 
  -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - z^6/a^4, Knot[14, NonAlternating, 26867] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + 
   2*z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26868] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + 
   a^(-2) + (4*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 - 
   (4*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^6/a^6, 
 Knot[14, NonAlternating, 26869] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   16*a^4*z^4 + 18*a^6*z^4 - 5*a^8*z^4 + 4*a^2*z^6 - 14*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26870] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 
   (6*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^8 + 
   (11*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[14, NonAlternating, 26871] -> 
  -2*a^4 + 8*a^6 - 5*a^8 - 2*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 12*a^6*z^4 - 5*a^8*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 26872] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26873] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 - z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26874] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26875] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 
   a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26876] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26877] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 9*z^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 - z^4/a^6 - 
   (6*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26878] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + z^4/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 26879] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 + 6*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 26880] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + 
   z^4/a^6 - (4*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4, 
 Knot[14, NonAlternating, 26881] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 
   2/a^8 - (3*z^2)/a^14 - (5*z^2)/a^12 + (9*z^2)/a^10 + (11*z^2)/a^8 - 
   z^4/a^14 - z^4/a^12 + (13*z^4)/a^10 + (14*z^4)/a^8 + z^4/a^6 + z^6/a^12 + 
   (5*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 26882] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 + 5*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - z^4 + 8*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + 
   3*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, 
 Knot[14, NonAlternating, 26883] -> 6 - 3/a^2 - a^2 - a^4 + 14*z^2 - 
   (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 - a^6*z^2 + 13*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 4*z^6 - 2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 26884] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - a^6*z^2 + 2*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 26885] -> 
  -5 + 3/a^2 + 3*a^2 - 19*z^2 + (7*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   22*z^4 + (7*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 11*z^6 + (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8, Knot[14, NonAlternating, 26886] -> 
  -4 + 3/a^2 + a^2 + a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 3*a^4*z^2 - 
   a^6*z^2 - 8*z^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 26887] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26888] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 26889] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 26890] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + (11*z^2)/a^6 - (21*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (13*z^4)/a^6 - (36*z^4)/a^4 + (8*z^4)/a^2 + (6*z^6)/a^6 - 
   (25*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26891] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 + z^2 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26892] -> 
  3 + 2/a^6 - 2/a^4 - 2/a^2 + 5*z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   (7*z^2)/a^2 + 4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26893] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26894] -> -2 + a^(-4) + 2*a^2 - 3*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26895] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 26896] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 4*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 + 
   z^6 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26897] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^4*z^2 - z^4 - 
   (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 26898] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26899] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26900] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26901] -> 
  a^2 + a^4 - 2*a^8 + a^10 - z^2 + z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^2*z^6, 
 Knot[14, NonAlternating, 26902] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - (4*z^2)/a^14 - (2*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - z^4/a^14 + z^4/a^12 + (12*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 26903] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26904] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 6*z^4 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 26905] -> 3 - a^(-2) - a^2 + 8*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26906] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 26907] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 
   3*a^4*z^4 - 7*z^6 + z^6/a^2 - a^2*z^6 - z^8, 
 Knot[14, NonAlternating, 26908] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26909] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 26910] -> 
  1 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 26911] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^4, Knot[14, NonAlternating, 26912] -> -1 - a^(-4) + 3/a^2 - a^2 + 
   a^4 + 3*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26913] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 3*z^4 - z^4/a^2 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 26914] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + z^4/a^2 + 17*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 3*a^4*z^6 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 26915] -> -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 
   8*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   5*z^4 + 6*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[14, NonAlternating, 26916] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - z^2 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26917] -> 
  2/a^6 - 2/a^4 + a^4 + (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 26918] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 11*z^2 - (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + 13*z^4 - (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 4*z^6 - 
   2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 26919] -> 
  4 - 2/a^2 - a^4 + 7*z^2 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 4*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 26920] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26921] -> 4 - 2/a^2 - a^4 + 12*z^2 - (7*z^2)/a^2 - 
   2*a^6*z^2 + 13*z^4 - (3*z^4)/a^2 + 4*a^4*z^4 - a^6*z^4 + 4*z^6 - 
   2*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 26922] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (2*z^2)/a^4 + 2*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 3*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - z^6 - a^2*z^6, 
 Knot[14, NonAlternating, 26923] -> a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^4 + 
   a^4*z^2 - a^6*z^2 - z^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   2*a^2*z^6, Knot[14, NonAlternating, 26924] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 8*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 26925] -> -a^(-8) + a^(-6) + a^(-2) - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - (6*z^4)/a^8 + (17*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 26926] -> 
  4*a^4 - 4*a^6 + a^8 + 6*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 4*a^2*z^4 - 
   6*a^4*z^4 + a^8*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 
   6*a^4*z^8 + a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 26927] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 + (4*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26928] -> a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26929] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 26930] -> 3*a^4 - 2*a^6 - 2*z^2 + 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 26931] -> 4*a^4 - 4*a^6 + a^8 + a^2*z^2 + 
   5*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 4*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + 
   a^8*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   a^6*z^8 - a^4*z^10, Knot[14, NonAlternating, 26932] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - 
   6*z^4 + z^4/a^4 + 4*a^2*z^4 - 12*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   z^8/a^2 + a^2*z^8 - z^10, Knot[14, NonAlternating, 26933] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 3*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 26934] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 + z^2/a^6 - (4*z^2)/a^4 + 2*z^4 - 
   z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26935] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26936] -> 
  5*a^4 - 6*a^6 + 2*a^8 + a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 
   4*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 4*a^6*z^6 + 
   a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^4*z^10, 
 Knot[14, NonAlternating, 26937] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 9*z^4 + z^4/a^4 + z^4/a^2 + 5*a^2*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26938] -> 2*a^2 - 2*a^6 + a^8 + z^2 - a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 2*z^4 - 4*a^2*z^4 + z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26939] -> 1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 26940] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^4)/a^12 - (11*z^4)/a^8 + (11*z^4)/a^6 + z^6/a^12 - 
   (2*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 26941] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   z^6/a^10 - (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 26942] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 - (2*z^2)/a^6 + (8*z^2)/a^2 - 9*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26943] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2/a^6 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 26944] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - 
   6*a^2*z^2 + 4*a^4*z^2 + 5*z^4 - 11*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 
   8*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26945] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 26946] -> -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 6*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26947] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 - z^2 + 8*a^4*z^2 - 4*a^6*z^2 - z^4 + 
   3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 2*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 26948] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 - 8*a^2*z^2 + 3*a^4*z^2 - 7*z^4 + (4*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 12*z^6 + (4*z^6)/a^2 + 3*a^2*z^6 - 6*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 26949] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (3*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^8 - z^4/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 26950] -> 3 - 3*a^2 + a^6 + 2*z^2 - 5*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 3*z^6 + 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 26951] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 26952] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - z^2/a^10 + (5*z^2)/a^6 + z^2/a^4 - (6*z^4)/a^8 + (17*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[14, NonAlternating, 26953] -> 
  2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + (3*z^2)/a^12 - (4*z^2)/a^10 - 
   (10*z^2)/a^8 + (14*z^2)/a^6 + (3*z^4)/a^12 - (3*z^4)/a^10 - (14*z^4)/a^8 + 
   (12*z^4)/a^6 + z^6/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 26954] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 7*z^2 - (3*z^2)/a^6 + z^2/a^4 + (13*z^2)/a^2 - 
   9*z^4 - z^4/a^6 - (4*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 26955] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   z^2 - z^2/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 26956] -> 
  a^4 + 2*a^8 - 2*a^10 - 2*a^4*z^2 + 9*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 - 
   5*a^4*z^4 + 15*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 + 
   3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + a^8*z^8, 
 Knot[14, NonAlternating, 26957] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 9*z^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 - z^4/a^6 - 
   (6*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 26958] -> 
  4 + 3/a^4 - 6/a^2 + 10*z^2 + (4*z^2)/a^6 + (2*z^2)/a^4 - (19*z^2)/a^2 + 
   8*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 - (22*z^4)/a^2 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (11*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 26959] -> 2*a^6 + a^8 - 2*a^10 - 3*a^4*z^2 + 
   12*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 - 5*a^4*z^4 + 16*a^6*z^4 + 4*a^8*z^4 - 
   3*a^10*z^4 - 2*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - a^10*z^6 + 2*a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 26960] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 
   6*z^2 + (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - (10*z^2)/a^2 + 2*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 26961] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - (13*z^2)/a^6 + (11*z^2)/a^4 - 
   z^2/a^2 + (4*z^4)/a^8 - (14*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^6, Knot[14, NonAlternating, 26962] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 26963] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 26964] -> 1 + 2/a^4 - 3/a^2 + a^2 + 5*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26965] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - 
   (4*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 26966] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 5*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - z^6 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 26967] -> 4 - 5*a^2 + a^4 + a^6 + 9*z^2 - 
   17*a^2*z^2 + 4*a^6*z^2 + 7*z^4 - 20*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 26968] -> 4 - 2/a^2 - a^4 + 15*z^2 - (8*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 19*z^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   10*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26969] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 26970] -> -5 + 2/a^4 + 4*a^2 - 15*z^2 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 14*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 26971] -> -1 + 2/a^4 - a^(-2) - a^2 + 
   2*a^4 - 3*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 26972] -> -a^(-12) + 2/a^6 + z^2/a^12 - 
   (3*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + (3*z^4)/a^12 - (5*z^4)/a^10 + 
   (8*z^4)/a^6 + z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 26973] -> 
  -a^(-12) + a^(-8) + a^(-4) + z^2/a^12 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^6/a^10 - 
   (2*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 26974] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + (4*z^2)/a^16 - (20*z^2)/a^14 + 
   (7*z^2)/a^12 + (24*z^2)/a^10 + (2*z^4)/a^16 - (25*z^4)/a^14 + 
   (26*z^4)/a^12 + (39*z^4)/a^10 - (10*z^6)/a^14 + (25*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 26975] -> 
  a^2 + a^4 - a^6 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 3*a^2*z^4 + a^4*z^4 + a^6*z^4 + z^6 + a^2*z^6, 
 Knot[14, NonAlternating, 26976] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 26977] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - 
   z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^6 - z^6/a^4 + 
   (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 26978] -> 
  -1 - a^(-6) + 3/a^2 - z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 26979] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^8 + z^4/a^4 - (2*z^4)/a^2 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^4, Knot[14, NonAlternating, 26980] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 - 8*z^6 + 
   (4*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^2 + 2*a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 26981] -> -2/a^6 + 3/a^4 - z^2/a^8 - (4*z^2)/a^6 + 
   (13*z^2)/a^4 - (5*z^2)/a^2 - (3*z^4)/a^8 + (17*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (10*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4, Knot[14, NonAlternating, 26982] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 26983] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 - 4*z^2 + 5*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 
   4*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - a^8*z^4 - z^6 + 6*a^2*z^6 + a^4*z^6 + 
   a^6*z^6 + a^2*z^8, Knot[14, NonAlternating, 26984] -> 
  1 + (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 2*z^4 + (3*z^4)/a^2 - 
   13*a^2*z^4 + 6*a^4*z^4 - 3*z^6 + z^6/a^2 - 9*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   2*a^2*z^8, Knot[14, NonAlternating, 26985] -> 
  2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   2*z^4 + z^4/a^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[14, NonAlternating, 26986] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 
   z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 26987] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 26988] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + z^4 - 3*a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - a^2*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 26989] -> 1 + 2*z^2 + (2*z^2)/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - z^4 + (3*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 + z^6/a^2 - 
   10*a^2*z^6 + 2*a^4*z^6 - z^8 - 2*a^2*z^8, 
 Knot[14, NonAlternating, 26990] -> 2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 6*z^4 + z^4/a^4 - 4*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 26991] -> -4 + 3/a^2 + a^2 + a^4 - 6*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - z^4/a^2 - a^4*z^4 + 2*z^6 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 26992] -> 2 - 2*a^2 + a^4 + z^2 + (2*z^2)/a^2 - 
   9*a^2*z^2 + 5*a^4*z^2 - 4*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 26993] -> a^(-2) - a^2 + a^4 - z^2 + z^2/a^4 - 
   5*a^2*z^2 + 3*a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 26994] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + 
   (2*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^2 - a^4*z^4 + 2*z^6 - z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 26995] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 26996] -> 
  3*a^4 - 2*a^6 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 - 2*z^4 + 
   6*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^4*z^8, Knot[14, NonAlternating, 26997] -> 
  2*a^2 - a^4 - 2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 
   10*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + 4*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 26998] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 + z^2/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   9*z^4 + z^4/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 3*z^6 + 10*a^2*z^6 - 
   3*a^4*z^6 + 2*a^2*z^8, Knot[14, NonAlternating, 26999] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^2 + 
   2*z^4 + z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + z^6 - z^6/a^6 + 
   z^6/a^4 - (4*z^6)/a^2 - z^8/a^2, Knot[14, NonAlternating, 27000] -> 
  1 + 5*z^2 - 9*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 6*z^4 - 15*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 27001] -> 
  1 - a^2 + 2*a^4 - a^6 + 4*z^2 - 7*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 6*z^4 - 
   13*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - 2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 27002] -> 
  1 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 + z^4/a^2 - 7*a^2*z^4 + 
   a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, Knot[14, NonAlternating, 27003] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 + 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   z^8 + a^2*z^8, Knot[14, NonAlternating, 27004] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - 7*z^4 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 27005] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^10 - z^6/a^10 + (2*z^6)/a^8 + (2*z^6)/a^6 - z^6/a^4 + 
   z^8/a^8 + z^8/a^6, Knot[14, NonAlternating, 27006] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*z^4 - z^4/a^6 - (2*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 27007] -> -a^2 + 5*a^4 - 3*a^6 - z^2 + 7*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - z^4 + 3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^4*z^8, 
 Knot[14, NonAlternating, 27008] -> -2 + a^(-2) + 3*a^2 - a^4 + z^2 - 
   z^2/a^2 + 8*z^4 - (4*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 27009] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 27010] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 + 
   z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 27011] -> 1 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 5*z^4 - 11*a^2*z^4 + 2*a^6*z^4 + 2*z^6 - 8*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - 2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 27012] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^2 - 
   z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27013] -> -a^4 + 6*a^6 - 4*a^8 + 3*a^2*z^2 - 
   8*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 
   19*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 4*a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 + 
   2*a^6*z^8, Knot[14, NonAlternating, 27014] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 - 
   z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 27015] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 + (6*z^4)/a^2 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, Knot[14, NonAlternating, 27016] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - z^2/a^6 + (6*z^2)/a^2 - 6*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 27017] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 4*z^4 - z^4/a^2 + 18*a^2*z^4 - 
   8*a^4*z^4 - 4*z^6 + 18*a^2*z^6 - 5*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + 
   a^2*z^10, Knot[14, NonAlternating, 27018] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^2 - 9*z^4 + z^4/a^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 13*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 27019] -> a^(-8) - 2/a^6 + 2/a^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + z^6 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[14, NonAlternating, 27020] -> 3 + 2/a^4 - 4/a^2 + 7*z^2 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (14*z^2)/a^2 + 7*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (18*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (10*z^6)/a^2 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 27021] -> 
  -2 + a^(-4) + 2*a^2 - 4*z^2 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 + z^4/a^6 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 - 
   (3*z^6)/a^2, Knot[14, NonAlternating, 27022] -> 
  4 - 2/a^2 - a^4 + 8*z^2 - (2*z^2)/a^4 - z^2/a^2 - 2*a^4*z^2 + 7*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 27023] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4, Knot[14, NonAlternating, 27024] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + (7*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - 
   z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 27025] -> -1 + a^(-4) + a^4 - 6*z^2 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 27026] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[14, NonAlternating, 27027] -> 3/a^14 - 8/a^12 + 3/a^10 + 3/a^8 + 
   (2*z^2)/a^14 - (15*z^2)/a^12 + (10*z^2)/a^10 + (12*z^2)/a^8 - 
   (6*z^4)/a^12 + (12*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[14, NonAlternating, 27028] -> 
  2/a^14 - 5/a^12 + a^(-10) + 2/a^8 + a^(-6) - (6*z^2)/a^12 + (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4, Knot[14, NonAlternating, 27029] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 - (11*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (20*z^6)/a^2 - z^8 - z^8/a^4 + 
   (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 27030] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 2*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (19*z^2)/a^4 + (12*z^2)/a^2 - z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (20*z^4)/a^4 + (10*z^4)/a^2 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4, Knot[14, NonAlternating, 27031] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + (8*z^4)/a^10 - (18*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[14, NonAlternating, 27032] -> 
  6*a^8 - 6*a^10 + a^12 + 23*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 + 
   28*a^8*z^4 - 23*a^10*z^4 + 7*a^12*z^4 + 13*a^8*z^6 - 18*a^10*z^6 + 
   5*a^12*z^6 + 2*a^8*z^8 - 7*a^10*z^8 + a^12*z^8 - a^10*z^10, 
 Knot[14, NonAlternating, 27033] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 6*a^6*z^2 + 
   9*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 + 7*a^6*z^4 + 4*a^8*z^4 - 7*a^10*z^4 + 
   3*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 - 4*a^10*z^6 + a^12*z^6 - a^8*z^8 - 
   a^10*z^8, Knot[14, NonAlternating, 27034] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27035] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^4 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 27036] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 - z^4/a^6 + z^4/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 27037] -> 
  5*a^4 - 6*a^6 + 2*a^8 + 9*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 + 9*a^4*z^4 - 
   21*a^6*z^4 + 8*a^8*z^4 + 5*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + a^4*z^8 - 
   7*a^6*z^8 + a^8*z^8 - a^6*z^10, Knot[14, NonAlternating, 27038] -> 
  -3/a^8 + 4/a^6 - (4*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - (4*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 - z^6/a^10 + (6*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 27039] -> -2 - 3/a^4 + 6/a^2 + z^2 + z^2/a^4 + 
   z^2/a^2 + 7*z^4 + (7*z^4)/a^4 - (15*z^4)/a^2 + 5*z^6 + (5*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + z^8/a^4 - (7*z^8)/a^2 - z^10/a^2, 
 Knot[14, NonAlternating, 27040] -> 5*a^4 - 5*a^6 + a^10 + 12*a^4*z^2 - 
   17*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 + 9*a^4*z^4 - 21*a^6*z^4 + 
   3*a^10*z^4 + 2*a^4*z^6 - 11*a^6*z^6 - 3*a^8*z^6 + a^10*z^6 - 2*a^6*z^8 - 
   a^8*z^8, Knot[14, NonAlternating, 27041] -> -a^(-6) + a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 27042] -> 
  3 + 2/a^4 - 4/a^2 + 8*z^2 + (3*z^2)/a^6 + (2*z^2)/a^4 - (15*z^2)/a^2 + 
   7*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (19*z^4)/a^2 + 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (10*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 27043] -> -a^4 + 4*a^6 - 2*a^10 - a^4*z^2 + 
   9*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 - 2*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 - a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^6*z^8 + 
   a^8*z^8, Knot[14, NonAlternating, 27044] -> -2/a^8 + 5/a^6 - 5/a^4 + 
   3/a^2 - z^2/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^8 - 
   (2*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 27045] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + z^4/a^10 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 27046] -> 
  7*a^8 - 8*a^10 + 2*a^12 + 2*a^6*z^2 + 17*a^8*z^2 - 12*a^10*z^2 + a^12*z^2 + 
   5*a^6*z^4 + 11*a^8*z^4 - 6*a^10*z^4 + 2*a^12*z^4 + 2*a^6*z^6 - 
   3*a^10*z^6 + a^12*z^6 - a^8*z^8 - a^10*z^8, 
 Knot[14, NonAlternating, 27047] -> 5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 18*z^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 27048] -> -2 + 7*a^2 - 5*a^4 + a^6 - 2*z^2 - 
   (4*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 4*z^4 - (4*z^4)/a^2 + 22*a^2*z^4 - 
   8*a^4*z^4 + 4*z^6 - z^6/a^2 + 11*a^2*z^6 - 2*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[14, NonAlternating, 27049] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 - (12*z^2)/a^2 + 2*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (8*z^4)/a^4 - (11*z^4)/a^2 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (3*z^6)/a^2 + z^8/a^4, Knot[14, NonAlternating, 27050] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 5*a^2*z^4 + 
   8*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 8*a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 + 2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 27051] -> 
  5*a^4 - 4*a^6 - 2*a^8 + 2*a^10 + 12*a^4*z^2 - 15*a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 + 9*a^4*z^4 - 20*a^6*z^4 - 4*a^8*z^4 + 4*a^10*z^4 + 2*a^4*z^6 - 
   11*a^6*z^6 - 4*a^8*z^6 + a^10*z^6 - 2*a^6*z^8 - a^8*z^8, 
 Knot[14, NonAlternating, 27052] -> 3 - 3*a^2 + a^6 + 6*z^2 - 11*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 15*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   9*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 27053] -> 5*a^4 - 8*a^6 + 6*a^8 - 2*a^10 + 
   12*a^4*z^2 - 19*a^6*z^2 + 10*a^8*z^2 + 9*a^4*z^4 - 21*a^6*z^4 + 
   2*a^8*z^4 + 3*a^10*z^4 + 2*a^4*z^6 - 11*a^6*z^6 - 3*a^8*z^6 + a^10*z^6 - 
   2*a^6*z^8 - a^8*z^8, Knot[14, NonAlternating, 27054] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 27055] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*a^2*z^4 + 
   9*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - 2*a^2*z^6 + 8*a^4*z^6 + 2*a^6*z^6 - 
   a^8*z^6 + 2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 27056] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^8 - (3*z^2)/a^6 + (14*z^2)/a^4 - (6*z^2)/a^2 - 
   (3*z^4)/a^8 + z^4/a^6 + (18*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (3*z^6)/a^6 + (10*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4, 
 Knot[14, NonAlternating, 27057] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 - 
   z^2/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^8 + 
   (9*z^4)/a^4 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27058] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 27059] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27060] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 - a^2*z^2 + z^4 + z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[14, NonAlternating, 27061] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - a^2*z^2 + z^4/a^6 - (2*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 27062] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 27063] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 - z^2/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 27064] -> -a^(-6) + a^(-4) + a^(-2) - (3*z^2)/a^8 - 
   z^2/a^6 + (12*z^2)/a^4 - (6*z^2)/a^2 - (4*z^4)/a^8 + (3*z^4)/a^6 + 
   (19*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + (11*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4, Knot[14, NonAlternating, 27065] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - (2*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 27066] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - z^2/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (4*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^4 + z^6/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[14, NonAlternating, 27067] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + a^2*z^4 - 3*z^6 + 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 27068] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2, Knot[14, NonAlternating, 27069] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 2*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   z^4/a^4 + a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 27070] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (6*z^4)/a^4 + z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27071] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 27072] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[14, NonAlternating, 27073] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   2*a^4*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[14, NonAlternating, 27074] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^6 - z^4/a^2 + a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 27075] -> 
  2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^4*z^6 - a^2*z^8, 
 Knot[14, NonAlternating, 27076] -> 3 - a^(-2) - a^2 + 7*z^2 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - z^6/a^4 + (5*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27077] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + z^4/a^6 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 27078] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - (2*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   8*z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^2, 
 Knot[14, NonAlternating, 27079] -> 1 + 6*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 27080] -> -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^4 - z^6/a^2, Knot[14, NonAlternating, 27081] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^6 - 2*a^2*z^2 - a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^2, 
 Knot[14, NonAlternating, 27082] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 6*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, 
 Knot[14, NonAlternating, 27083] -> -3 + 2/a^2 + 2*a^2 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 27084] -> 
  7 - 3/a^2 - 3*a^2 + 21*z^2 - (2*z^2)/a^4 - (6*z^2)/a^2 - 10*a^2*z^2 + 
   23*z^4 - (3*z^4)/a^4 - 8*a^2*z^4 + 11*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*z^8 + z^8/a^2, Knot[14, NonAlternating, 27085] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + 5*z^4 - z^4/a^6 + (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 27086] -> 
  5 - 2/a^2 - 2*a^2 + 16*z^2 - (4*z^2)/a^4 - z^2/a^2 - 9*a^2*z^2 + 21*z^4 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 11*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + 2*z^8 + z^8/a^2, Knot[14, NonAlternating, 27087] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 5*z^4 - z^4/a^6 + z^4/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 27088] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 
   z^8 - a^2*z^8, Knot[14, NonAlternating, 27089] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 13*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 - 
   a^4*z^2 + 11*z^4 - z^4/a^4 + z^4/a^2 - a^4*z^4 + 3*z^6 + z^6/a^2 + 
   a^2*z^6, Knot[14, NonAlternating, 27090] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   2*z^2 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^4 + a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 27091] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^4 + (4*z^4)/a^2 + 
   a^2*z^4, Knot[14, NonAlternating, 27092] -> -2/a^10 + 3/a^8 - a^(-6) + 
   a^(-2) - z^2/a^10 + (4*z^2)/a^8 + z^2/a^4 + z^2/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27093] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 27094] -> -a^(-10) + a^(-8) + a^(-2) + z^2/a^8 + 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 27095] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^4 + (3*z^4)/a^2 + a^2*z^4, 
 Knot[14, NonAlternating, 27096] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 5*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 27097] -> a^6 + 3*a^8 - 3*a^10 + 6*a^6*z^2 + 
   7*a^8*z^2 - 4*a^10*z^2 + 7*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + 2*a^12*z^4 + 
   2*a^6*z^6 - 2*a^8*z^6 - 3*a^10*z^6 + a^12*z^6 - a^8*z^8 - a^10*z^8, 
 Knot[14, NonAlternating, 27098] -> -4 - 2/a^4 + 6/a^2 + a^4 - 8*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27099] -> a^6 + 3*a^8 - 2*a^10 - 2*a^12 + a^14 + 
   6*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 - 2*a^12*z^2 + 7*a^6*z^4 + 3*a^8*z^4 - 
   2*a^10*z^4 + 2*a^12*z^4 + 2*a^6*z^6 - 2*a^8*z^6 - 3*a^10*z^6 + a^12*z^6 - 
   a^8*z^8 - a^10*z^8, Knot[14, NonAlternating, 27100] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 27101] -> -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 27102] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^4, 
 Knot[14, NonAlternating, 27103] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 - z^6/a^4, Knot[14, NonAlternating, 27104] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (4*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^4)/a^10 + (19*z^4)/a^8 - (2*z^4)/a^6 - (5*z^6)/a^10 + (18*z^6)/a^8 - 
   (4*z^6)/a^6 - z^8/a^10 + (7*z^8)/a^8 - z^8/a^6 + z^10/a^8, 
 Knot[14, NonAlternating, 27105] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + 
   z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 + z^8/a^8 + z^8/a^6, Knot[14, NonAlternating, 27106] -> 
  a^(-4) - a^(-2) + a^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + z^4/a^6 + 
   z^4/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 27107] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   z^2/a^4 - a^4*z^2 - z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6, 
 Knot[14, NonAlternating, 27108] -> -4/a^6 + 7/a^4 - 2/a^2 - (12*z^2)/a^6 + 
   (28*z^2)/a^4 - (11*z^2)/a^2 - (13*z^4)/a^6 + (38*z^4)/a^4 - (13*z^4)/a^2 - 
   (6*z^6)/a^6 + (25*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - 
   z^8/a^2 + z^10/a^4, Knot[14, NonAlternating, 27109] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 4*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 + (4*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 27110] -> 8/a^16 - 22/a^14 + 15/a^12 + 
   (18*z^2)/a^16 - (79*z^2)/a^14 + (74*z^2)/a^12 + (11*z^4)/a^16 - 
   (96*z^4)/a^14 + (137*z^4)/a^12 + (2*z^6)/a^16 - (51*z^6)/a^14 + 
   (122*z^6)/a^12 - (12*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 27111] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 14*a^2*z^2 + 36*a^4*z^2 - 15*a^6*z^2 - 
   14*a^2*z^4 + 43*a^4*z^4 - 14*a^6*z^4 - 6*a^2*z^6 + 26*a^4*z^6 - 
   6*a^6*z^6 - a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 27112] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (7*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^6 - (9*z^4)/a^10 + (24*z^4)/a^8 - 
   (3*z^4)/a^6 - (5*z^6)/a^10 + (19*z^6)/a^8 - (4*z^6)/a^6 - z^8/a^10 + 
   (7*z^8)/a^8 - z^8/a^6 + z^10/a^8, Knot[14, NonAlternating, 27113] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 11*a^2*z^2 + 29*a^4*z^2 - 12*a^6*z^2 - 
   13*a^2*z^4 + 38*a^4*z^4 - 13*a^6*z^4 - 6*a^2*z^6 + 25*a^4*z^6 - 
   6*a^6*z^6 - a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 27114] -> -3/a^8 + 4/a^6 - (4*z^2)/a^10 + 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (8*z^4)/a^10 + (19*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^6)/a^10 + (18*z^6)/a^8 - (4*z^6)/a^6 - z^8/a^10 + (7*z^8)/a^8 - 
   z^8/a^6 + z^10/a^8, Knot[14, NonAlternating, 27115] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 4*z^2 + 5*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   8*z^4 + 19*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 
   4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 27116] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 27117] -> a^2 + a^4 - a^6 - 3*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - 8*a^2*z^4 + 20*a^4*z^4 - 8*a^6*z^4 - 5*a^2*z^6 + 18*a^4*z^6 - 
   5*a^6*z^6 - a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^4*z^10, 
 Knot[14, NonAlternating, 27118] -> 5*a^8 - 4*a^10 + 2*a^6*z^2 + 16*a^8*z^2 - 
   8*a^10*z^2 + a^6*z^4 + 17*a^8*z^4 - 5*a^10*z^4 + 7*a^8*z^6 - a^10*z^6 + 
   a^8*z^8, Knot[14, NonAlternating, 27119] -> -2/a^10 + a^(-8) + 2/a^6 - 
   (5*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - (4*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 - z^6/a^10 + (6*z^6)/a^8 + z^8/a^8, 
 Knot[14, NonAlternating, 27120] -> -1 - 2/a^4 + 4/a^2 + z^2 + z^2/a^4 + 
   7*z^4 + (7*z^4)/a^4 - (15*z^4)/a^2 + 5*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 
   z^8 + z^8/a^4 - (7*z^8)/a^2 - z^10/a^2, Knot[14, NonAlternating, 27121] -> 
  -2/a^6 + 3/a^4 - (7*z^2)/a^6 + (16*z^2)/a^4 - (6*z^2)/a^2 - (9*z^4)/a^6 + 
   (25*z^4)/a^4 - (9*z^4)/a^2 - (5*z^6)/a^6 + (19*z^6)/a^4 - (5*z^6)/a^2 - 
   z^8/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^4, 
 Knot[14, NonAlternating, 27122] -> a^4 + 2*a^6 - 2*a^8 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 5*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 4*a^4*z^6 - 
   12*a^6*z^6 + 4*a^8*z^6 + a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^6*z^10, 
 Knot[14, NonAlternating, 27123] -> -a^(-4) + 2/a^2 + z^2/a^2 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 - (4*z^6)/a^6 + (12*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^4, 
 Knot[14, NonAlternating, 27124] -> a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 + 
   2*a^4*z^2 + a^8*z^2 + 3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - a^6*z^8, Knot[14, NonAlternating, 27125] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + z^2 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - 3*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - 
   a^2*z^8, Knot[14, NonAlternating, 27126] -> 4 - 2/a^2 - a^4 + 4*z^2 - 
   z^2/a^2 - z^4 + z^4/a^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 27127] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[14, NonAlternating, 27128] -> 
  7/a^16 - 20/a^14 + 14/a^12 + (15*z^2)/a^16 - (72*z^2)/a^14 + 
   (71*z^2)/a^12 + (10*z^4)/a^16 - (91*z^4)/a^14 + (136*z^4)/a^12 + 
   (2*z^6)/a^16 - (50*z^6)/a^14 + (122*z^6)/a^12 - (12*z^8)/a^14 + 
   (55*z^8)/a^12 - z^10/a^14 + (12*z^10)/a^12 + z^12/a^12, 
 Knot[14, NonAlternating, 27129] -> 5/a^16 - 13/a^14 + 6/a^12 + 3/a^10 + 
   (7*z^2)/a^16 - (36*z^2)/a^14 + (24*z^2)/a^12 + (18*z^2)/a^10 + 
   (2*z^4)/a^16 - (31*z^4)/a^14 + (38*z^4)/a^12 + (36*z^4)/a^10 - 
   (10*z^6)/a^14 + (28*z^6)/a^12 + (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^12 + z^10/a^10, Knot[14, NonAlternating, 27130] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 27131] -> 1 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 27132] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 - (8*z^4)/a^8 + 
   (16*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (2*z^6)/a^8 + (10*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27133] -> 1 + 12*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 + 
   28*z^4 - (11*z^4)/a^2 - 11*a^2*z^4 + 23*z^6 - (6*z^6)/a^2 - 6*a^2*z^6 + 
   8*z^8 - z^8/a^2 - a^2*z^8 + z^10, Knot[14, NonAlternating, 27134] -> 
  -a^6 + 7*a^8 - 5*a^10 - a^6*z^2 + 23*a^8*z^2 - 11*a^10*z^2 + 22*a^8*z^4 - 
   6*a^10*z^4 + 8*a^8*z^6 - a^10*z^6 + a^8*z^8, 
 Knot[14, NonAlternating, 27135] -> -3/a^8 + 4/a^6 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (7*z^4)/a^8 - (14*z^4)/a^6 + (8*z^4)/a^4 + (5*z^6)/a^8 - 
   (17*z^6)/a^6 + (5*z^6)/a^4 + z^8/a^8 - (7*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 27136] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 - a^4*z^2 + 
   9*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 6*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + 
   a^6*z^6 + a^8*z^6, Knot[14, NonAlternating, 27137] -> 
  5 + 4/a^4 - 8/a^2 + 14*z^2 + (14*z^2)/a^4 - (32*z^2)/a^2 + 16*z^4 + 
   (16*z^4)/a^4 - (46*z^4)/a^2 + 7*z^6 + (7*z^6)/a^4 - (30*z^6)/a^2 + z^8 + 
   z^8/a^4 - (9*z^8)/a^2 - z^10/a^2, Knot[14, NonAlternating, 27138] -> 
  2*a^4 - a^8 + 7*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 9*a^4*z^4 - 19*a^6*z^4 + 
   8*a^8*z^4 + 5*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^6*z^10, Knot[14, NonAlternating, 27139] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^8 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27140] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + 
   (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27141] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 + 
   9*a^6*z^2 + 3*a^8*z^2 - 9*a^10*z^2 + 3*a^12*z^2 + 8*a^6*z^4 - a^8*z^4 - 
   7*a^10*z^4 + 3*a^12*z^4 + 2*a^6*z^6 - 3*a^8*z^6 - 4*a^10*z^6 + a^12*z^6 - 
   a^8*z^8 - a^10*z^8, Knot[14, NonAlternating, 27142] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + 2*a^2*z^2 - z^4 - z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 + z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 27143] -> -a^(-8) + 2/a^4 - z^2/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 + z^6/a^8 + z^6/a^6, Knot[14, NonAlternating, 27144] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*z^4 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[14, NonAlternating, 27145] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4/a^10 + (4*z^4)/a^8 - 
   (3*z^4)/a^6 + z^6/a^8, Knot[14, NonAlternating, 27146] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4 + z^4/a^6 - 
   (3*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 27147] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[14, NonAlternating, 27148] -> 2/a^10 - 5/a^8 + 2/a^6 + 
   2/a^4 + (2*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^10 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^10 + z^6/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 27149] -> 3/a^10 - 9/a^8 + 7/a^6 + (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (13*z^2)/a^6 - (3*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 - (3*z^6)/a^6 - z^8/a^10 + (6*z^8)/a^8 - 
   z^8/a^6 + z^10/a^8, Knot[14, NonAlternating, 27150] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - z^6/a^10 + 
   (3*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 27151] -> a^(-10) - 5/a^8 + 5/a^6 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - (4*z^6)/a^10 + 
   (12*z^6)/a^8 - (3*z^6)/a^6 - z^8/a^10 + (6*z^8)/a^8 - z^8/a^6 + z^10/a^8, 
 Knot[14, NonAlternating, 27152] -> -5*a^2 + 13*a^4 - 7*a^6 - 14*a^2*z^2 + 
   37*a^4*z^2 - 15*a^6*z^2 - 14*a^2*z^4 + 43*a^4*z^4 - 14*a^6*z^4 - 
   6*a^2*z^6 + 26*a^4*z^6 - 6*a^6*z^6 - a^2*z^8 + 8*a^4*z^8 - a^6*z^8 + 
   a^4*z^10, Knot[14, NonAlternating, 27153] -> 
  2/a^12 - 8/a^10 + 7/a^8 + (5*z^2)/a^12 - (22*z^2)/a^10 + (25*z^2)/a^8 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (25*z^4)/a^8 + z^6/a^12 - (7*z^6)/a^10 + 
   (9*z^6)/a^8 - z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 27154] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - (12*z^2)/a^6 + (28*z^2)/a^4 - (11*z^2)/a^2 - 
   (13*z^4)/a^6 + (38*z^4)/a^4 - (13*z^4)/a^2 - (6*z^6)/a^6 + (25*z^6)/a^4 - 
   (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - z^8/a^2 + z^10/a^4, 
 Knot[14, NonAlternating, 27155] -> -5*a^2 + 13*a^4 - 7*a^6 - 18*a^2*z^2 + 
   45*a^4*z^2 - 19*a^6*z^2 - 18*a^2*z^4 + 55*a^4*z^4 - 18*a^6*z^4 - 
   7*a^2*z^6 + 32*a^4*z^6 - 7*a^6*z^6 - a^2*z^8 + 9*a^4*z^8 - a^6*z^8 + 
   a^4*z^10, Knot[14, NonAlternating, 27156] -> 
  2/a^12 - 8/a^10 + 7/a^8 + (3*z^2)/a^12 - (18*z^2)/a^10 + (23*z^2)/a^8 + 
   (3*z^4)/a^12 - (15*z^4)/a^10 + (24*z^4)/a^8 + z^6/a^12 - (6*z^6)/a^10 + 
   (9*z^6)/a^8 - z^8/a^10 + z^8/a^8, Knot[14, NonAlternating, 27157] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^8/a^8, Knot[14, NonAlternating, 27158] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + 9*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - 
   5*z^4 + 12*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 - z^6 + 6*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 27159] -> a^(-10) - 5/a^8 + 5/a^6 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - 
   z^6/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 27160] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 26*z^2 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 - 13*a^2*z^2 + 27*z^4 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 9*a^2*z^4 + 12*z^6 - z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   2*z^8 + z^8/a^2, Knot[14, NonAlternating, 27161] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 5*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 - z^4/a^6 + z^4/a^4 + (10*z^4)/a^2 - 
   2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 27162] -> -a^(-8) + 2/a^4 - z^2/a^10 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + z^8/a^8 + 
   z^8/a^6, Knot[14, NonAlternating, 27163] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   z^2/a^6 - z^2/a^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 27164] -> -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 27165] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 - 2*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 + 3*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - z^6 + 4*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[14, NonAlternating, 27166] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 27167] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^4 - (3*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - z^6/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 + 
   z^8/a^8 + z^8/a^6, Knot[14, NonAlternating, 27168] -> 
  -1 + 4*a^2 - 2*a^4 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - 6*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 + 2*z^6 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 27169] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 7*a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 - 9*a^2*z^4 + 
   26*a^4*z^4 - 9*a^6*z^4 - 5*a^2*z^6 + 19*a^4*z^6 - 5*a^6*z^6 - a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^4*z^10, Knot[14, NonAlternating, 27170] -> 
  -a^2 + 5*a^4 - 3*a^6 - 8*a^2*z^2 + 21*a^4*z^2 - 9*a^6*z^2 - 12*a^2*z^4 + 
   33*a^4*z^4 - 12*a^6*z^4 - 6*a^2*z^6 + 24*a^4*z^6 - 6*a^6*z^6 - a^2*z^8 + 
   8*a^4*z^8 - a^6*z^8 + a^4*z^10, Knot[14, NonAlternating, 27171] -> 
  2*a^2 - a^4 - 3*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 8*a^2*z^4 + 20*a^4*z^4 - 
   8*a^6*z^4 - 5*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^4*z^10, Knot[14, NonAlternating, 27172] -> 
  -a^2 + 5*a^4 - 3*a^6 - 4*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 4*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 + a^4*z^8, 
 Knot[14, NonAlternating, 27173] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 5*z^4 - z^4/a^6 + (11*z^4)/a^2 - 
   4*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 - z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 27174] -> 
  a^6 + 3*a^8 - 3*a^10 + 2*a^6*z^2 + 15*a^8*z^2 - 8*a^10*z^2 - 3*a^6*z^4 + 
   25*a^8*z^4 - 9*a^10*z^4 - 4*a^6*z^6 + 19*a^8*z^6 - 5*a^10*z^6 - a^6*z^8 + 
   7*a^8*z^8 - a^10*z^8 + a^8*z^10, Knot[14, NonAlternating, 27175] -> 
  2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 5*a^4*z^2 - 8*a^6*z^2 + 17*a^8*z^2 - 
   6*a^10*z^2 + 2*a^4*z^4 - 7*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 - 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^8*z^8, Knot[14, NonAlternating, 27176] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 - 3*z^2 + 3*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 
   8*z^4 + 18*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 5*z^6 + 18*a^2*z^6 - 
   4*a^4*z^6 - z^8 + 7*a^2*z^8 - a^4*z^8 + a^2*z^10, 
 Knot[14, NonAlternating, 27177] -> -2/a^6 + 3/a^4 + (6*z^2)/a^8 - 
   (13*z^2)/a^6 + (10*z^2)/a^4 + (9*z^4)/a^8 - (24*z^4)/a^6 + (10*z^4)/a^4 + 
   (5*z^6)/a^8 - (19*z^6)/a^6 + (5*z^6)/a^4 + z^8/a^8 - (7*z^8)/a^6 + 
   z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 27178] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (7*z^2)/a^8 - (17*z^2)/a^6 + (11*z^2)/a^4 + 
   (9*z^4)/a^8 - (25*z^4)/a^6 + (10*z^4)/a^4 + (5*z^6)/a^8 - (19*z^6)/a^6 + 
   (5*z^6)/a^4 + z^8/a^8 - (7*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 27179] -> 6/a^16 - 18/a^14 + 13/a^12 + 
   (13*z^2)/a^16 - (67*z^2)/a^14 + (69*z^2)/a^12 + (7*z^4)/a^16 - 
   (83*z^4)/a^14 + (133*z^4)/a^12 + z^6/a^16 - (45*z^6)/a^14 + 
   (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 27180] -> 
  3 - 4*a^2 + 2*a^4 + 9*z^2 - 20*a^2*z^2 + 9*a^4*z^2 + 12*z^4 - 33*a^2*z^4 + 
   12*a^4*z^4 + 6*z^6 - 24*a^2*z^6 + 6*a^4*z^6 + z^8 - 8*a^2*z^8 + a^4*z^8 - 
   a^2*z^10, Knot[14, NonAlternating, 27181] -> 
  -2/a^6 + 3/a^4 + (4*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 + (8*z^4)/a^8 - 
   (20*z^4)/a^6 + (9*z^4)/a^4 + (5*z^6)/a^8 - (18*z^6)/a^6 + (5*z^6)/a^4 + 
   z^8/a^8 - (7*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 27182] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 27183] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 
   5*z^4 + 11*a^2*z^4 - a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 3*a^4*z^6 - z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 27184] -> 
  -6/a^6 + 11/a^4 - 4/a^2 - (13*z^2)/a^6 + (32*z^2)/a^4 - (12*z^2)/a^2 - 
   (13*z^4)/a^6 + (39*z^4)/a^4 - (13*z^4)/a^2 - (6*z^6)/a^6 + (25*z^6)/a^4 - 
   (6*z^6)/a^2 - z^8/a^6 + (8*z^8)/a^4 - z^8/a^2 + z^10/a^4, 
 Knot[14, NonAlternating, 27185] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27186] -> 4/a^8 - 10/a^6 + 7/a^4 + (3*z^2)/a^10 + 
   (5*z^2)/a^8 - (24*z^2)/a^6 + (15*z^2)/a^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - 
   (25*z^4)/a^6 + (10*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (12*z^6)/a^6 + 
   (2*z^6)/a^4 - z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 27187] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (2*z^2)/a^10 + (2*z^2)/a^8 - (8*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 27188] -> a^(-10) - 5/a^6 + 5/a^4 + (4*z^2)/a^10 - 
   z^2/a^8 - (15*z^2)/a^6 + (12*z^2)/a^4 + (4*z^4)/a^10 - (4*z^4)/a^8 - 
   (20*z^4)/a^6 + (9*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 27189] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + z^4/a^8 + (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27190] -> -2/a^10 + 2/a^8 + a^(-4) + (3*z^2)/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 - z^4 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 27191] -> 
  6*a^4 - 8*a^6 + 3*a^8 + 11*a^4*z^2 - 18*a^6*z^2 + 7*a^8*z^2 + 10*a^4*z^4 - 
   25*a^6*z^4 + 9*a^8*z^4 + 5*a^4*z^6 - 19*a^6*z^6 + 5*a^8*z^6 + a^4*z^8 - 
   7*a^6*z^8 + a^8*z^8 - a^6*z^10, Knot[14, NonAlternating, 27192] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 + 6*a^6*z^2 + 10*a^8*z^2 - 12*a^10*z^2 + 
   3*a^12*z^2 + 7*a^6*z^4 + 4*a^8*z^4 - 8*a^10*z^4 + 3*a^12*z^4 + 2*a^6*z^6 - 
   2*a^8*z^6 - 4*a^10*z^6 + a^12*z^6 - a^8*z^8 - a^10*z^8, 
 Knot[14, NonAlternating, 27193] -> 4*a^6 - 3*a^8 + a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^12*z^2 + a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - 2*a^8*z^6 - a^10*z^6, Knot[14, NonAlternating, 27194] -> 
  a^(-10) + 2/a^8 - 9/a^6 + 7/a^4 + (4*z^2)/a^10 + (2*z^2)/a^8 - 
   (23*z^2)/a^6 + (15*z^2)/a^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (25*z^4)/a^6 + 
   (10*z^4)/a^4 + z^6/a^10 - (4*z^6)/a^8 - (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^8 - (2*z^8)/a^6, Knot[14, NonAlternating, 27195] -> 
  a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + (2*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 27196] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (6*z^2)/a^12 - (16*z^2)/a^10 + (6*z^2)/a^8 + (9*z^2)/a^6 + (4*z^4)/a^12 - 
   (12*z^4)/a^10 + (8*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 27197] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - z^2/a^10 - (9*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (7*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^6/a^10 - (2*z^6)/a^8, 
 Knot[14, NonAlternating, 27198] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - z^4 - z^4/a^8 - z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27199] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^6 + z^4/a^4 - 
   z^4/a^2 - z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 27200] -> 2*a^2 - a^4 - 2*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - a^8*z^2 - 6*a^2*z^4 + 12*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 - 2*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + 
   a^6*z^8, Knot[14, NonAlternating, 27201] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   z^2 - 6*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 - 2*a^2*z^4 + 
   7*a^4*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 27202] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 4*a^4*z^4 + 2*a^6*z^4 + z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 27203] -> a^2 + a^4 - a^6 - 3*a^2*z^2 + 7*a^4*z^2 - 
   2*a^8*z^2 - 6*a^2*z^4 + 13*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 - 2*a^2*z^6 + 
   9*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 + 2*a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 27204] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 + 
   (5*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 27205] -> 4/a^8 - 10/a^6 + 7/a^4 + 
   (12*z^2)/a^8 - (29*z^2)/a^6 + (16*z^2)/a^4 + (13*z^4)/a^8 - (38*z^4)/a^6 + 
   (14*z^4)/a^4 + (6*z^6)/a^8 - (25*z^6)/a^6 + (6*z^6)/a^4 + z^8/a^8 - 
   (8*z^8)/a^6 + z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 27206] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (5*z^2)/a^8 - (7*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 + (4*z^4)/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   z^6/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 27207] -> 3/a^12 - 10/a^10 + 8/a^8 + (6*z^2)/a^12 - 
   (25*z^2)/a^10 + (26*z^2)/a^8 + (8*z^4)/a^12 - (28*z^4)/a^10 + 
   (29*z^4)/a^8 + (5*z^6)/a^12 - (19*z^6)/a^10 + (13*z^6)/a^8 + z^8/a^12 - 
   (7*z^8)/a^10 + (2*z^8)/a^8 - z^10/a^10, Knot[14, NonAlternating, 27208] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + 
   z^6/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 27209] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 27210] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (4*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 + z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 27211] -> 1 + 5*z^2 - (3*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 11*z^4 - (5*z^4)/a^2 - 2*a^4*z^4 + 8*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, Knot[14, NonAlternating, 27212] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 27213] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 7*z^2 + (3*z^2)/a^6 - (12*z^2)/a^2 + 7*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (18*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (10*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, Knot[14, NonAlternating, 27214] -> 
  7/a^16 - 20/a^14 + 14/a^12 + (13*z^2)/a^16 - (68*z^2)/a^14 + 
   (69*z^2)/a^12 + (7*z^4)/a^16 - (83*z^4)/a^14 + (133*z^4)/a^12 + z^6/a^16 - 
   (45*z^6)/a^14 + (121*z^6)/a^12 - (11*z^8)/a^14 + (55*z^8)/a^12 - 
   z^10/a^14 + (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 27215] -> 
  -2/a^6 + 3/a^4 - z^2/a^6 + (4*z^2)/a^4 + (4*z^4)/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^6)/a^8 - (12*z^6)/a^6 + (4*z^6)/a^4 + z^8/a^8 - 
   (6*z^8)/a^6 + z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 27216] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + (3*z^4)/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + z^6/a^8 - 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^6, Knot[14, NonAlternating, 27217] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + 2*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^4*z^8 - a^6*z^8, Knot[14, NonAlternating, 27218] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - z^2 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   10*a^2*z^4 - a^4*z^4 - a^6*z^4 - 4*z^6 + 13*a^2*z^6 - 3*a^4*z^6 - z^8 + 
   6*a^2*z^8 - a^4*z^8 + a^2*z^10, Knot[14, NonAlternating, 27219] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^2 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27220] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + z^2/a^4 + 
   9*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^4 + 3*a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 27221] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 + z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   z^4/a^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 27222] -> -a^(-4) + 2/a^2 - z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - z^4/a^6 - z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (3*z^6)/a^2, Knot[14, NonAlternating, 27223] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^6 + (11*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^4, 
 Knot[14, NonAlternating, 27224] -> 4 - 6*a^2 + 3*a^4 + 8*z^2 - 17*a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 19*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   10*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 27225] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[14, NonAlternating, 27226] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 2*z^2 + z^2/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 + z^4/a^2 - 9*a^2*z^4 + a^6*z^4 - z^6 - 3*a^2*z^6 - a^4*z^6, 
 Knot[14, NonAlternating, 27227] -> -5 + 3/a^2 + 3*a^2 - 8*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 27228] -> 3/a^6 - 7/a^4 + 5/a^2 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 27229] -> 4 - 7*a^2 + 5*a^4 - a^6 + 
   8*z^2 - 17*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 19*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   2*a^2*z^8 - a^4*z^8, Knot[14, NonAlternating, 27230] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 - z^2/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - z^4 - z^4/a^8 + (6*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 27231] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 7*z^4 + z^4/a^4 + 2*a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[14, NonAlternating, 27232] -> 1 - a^2 + a^4 + a^6 - a^8 - 
   z^2 + a^2*z^2 + 2*a^4*z^2 - 3*z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   z^6 + 4*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 27233] -> 5/a^16 - 16/a^14 + 12/a^12 + 
   (12*z^2)/a^16 - (64*z^2)/a^14 + (68*z^2)/a^12 + (9*z^4)/a^16 - 
   (86*z^4)/a^14 + (135*z^4)/a^12 + (2*z^6)/a^16 - (49*z^6)/a^14 + 
   (122*z^6)/a^12 - (12*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 27234] -> 
  4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + (6*z^2)/a^16 - (34*z^2)/a^14 + 
   (26*z^2)/a^12 + (17*z^2)/a^10 + (2*z^4)/a^16 - (30*z^4)/a^14 + 
   (39*z^4)/a^12 + (36*z^4)/a^10 - (10*z^6)/a^14 + (28*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 27235] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (2*z^2)/a^16 - (15*z^2)/a^14 + 
   (4*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - (8*z^4)/a^14 + (9*z^4)/a^12 + 
   (26*z^4)/a^10 + (10*z^4)/a^8 - z^6/a^14 + (6*z^6)/a^12 + (13*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[14, NonAlternating, 27236] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 - 
   5*a^4*z^2 + 19*a^6*z^2 - 2*a^8*z^2 - 3*a^10*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 
   a^10*z^4 - a^4*z^6 + 7*a^6*z^6 + a^6*z^8, 
 Knot[14, NonAlternating, 27237] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 6*a^6*z^2 + 
   9*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 + 5*a^6*z^4 + 6*a^8*z^4 - 5*a^10*z^4 + 
   a^12*z^4 + a^6*z^6 + a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 27238] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (6*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (8*z^4)/a^10 - 
   (16*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 27239] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^4 + 
   a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 - (2*z^4)/a^2 - 2*a^4*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 27240] -> a^(-12) - 4/a^10 + 2/a^8 + 
   2/a^6 + z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^4)/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + z^6/a^12 - 
   (3*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - z^8/a^10 - z^8/a^8, 
 Knot[14, NonAlternating, 27241] -> -3/a^8 + 4/a^6 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (12*z^2)/a^6 + (2*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 + 
   (11*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 27242] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + 
   (3*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 + z^8/a^8 + z^8/a^6, 
 Knot[14, NonAlternating, 27243] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 3*z^2 + 
   z^2/a^2 - 14*a^2*z^2 + 6*a^4*z^2 + z^4 + (2*z^4)/a^2 - 16*a^2*z^4 + 
   6*a^4*z^4 - 2*z^6 + z^6/a^2 - 9*a^2*z^6 + 2*a^4*z^6 - z^8 - 2*a^2*z^8, 
 Knot[14, NonAlternating, 27244] -> 2 + a^(-4) - 2/a^2 + z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - 4*z^4 - (8*z^4)/a^4 + (18*z^4)/a^2 - a^2*z^4 - 
   4*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + 
   z^10/a^2, Knot[14, NonAlternating, 27245] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8, Knot[14, NonAlternating, 27246] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 - 4*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 27247] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 + 3*a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 
   8*a^10*z^2 + 2*a^12*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 + a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^10*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 27248] -> 2*a^6 + a^8 - 2*a^10 + 11*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 11*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 + 
   3*a^6*z^6 - 8*a^8*z^6 - 2*a^10*z^6 + a^12*z^6 - 2*a^8*z^8 - a^10*z^8, 
 Knot[14, NonAlternating, 27249] -> 3*a^6 - a^8 - a^10 + 3*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - a^10*z^2 + a^12*z^2 + 2*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 27250] -> a^6 + 3*a^8 - 3*a^10 - a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 
   4*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 - a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 + a^4*z^8, Knot[14, NonAlternating, 27251] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 + 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - z^4 + 
   a^2*z^4 - a^6*z^4 + a^8*z^4 + a^2*z^6 + a^4*z^6, 
 Knot[14, NonAlternating, 27252] -> 4 + 2/a^6 - a^(-4) - 4/a^2 + 4*z^2 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (12*z^4)/a^6 - 
   (32*z^4)/a^4 + (6*z^4)/a^2 + (6*z^6)/a^6 - (24*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^6 - (8*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 27253] -> -2 + 2/a^2 + a^4 - 12*z^2 + (6*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 23*z^4 + (9*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 
   19*z^6 + (5*z^6)/a^2 + 4*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 27254] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   3*a^2*z^6 + 2*a^4*z^6 - a^2*z^8, Knot[14, NonAlternating, 27255] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 5*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   6*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 4*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 27256] -> 
  3*a^6 - 3*a^10 + a^12 + a^2*z^2 + a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 
   3*a^10*z^2 + a^12*z^2 + a^2*z^4 - a^4*z^4 + a^8*z^4 - a^10*z^4 - a^4*z^6 - 
   a^6*z^6, Knot[14, NonAlternating, 27257] -> -2/a^6 + 3/a^4 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (8*z^2)/a^4 + (8*z^4)/a^8 - (20*z^4)/a^6 + (9*z^4)/a^4 + 
   (5*z^6)/a^8 - (18*z^6)/a^6 + (5*z^6)/a^4 + z^8/a^8 - (7*z^8)/a^6 + 
   z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 27258] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + z^2/a^10 + (7*z^2)/a^8 - (18*z^2)/a^6 + 
   (12*z^2)/a^4 + (3*z^4)/a^10 + z^4/a^8 - (21*z^4)/a^6 + (9*z^4)/a^4 + 
   z^6/a^10 - (3*z^6)/a^8 - (11*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^8 - 
   (2*z^8)/a^6, Knot[14, NonAlternating, 27259] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 8*z^4 + 
   (8*z^4)/a^4 - (21*z^4)/a^2 + 5*z^6 + (5*z^6)/a^4 - (18*z^6)/a^2 + z^8 + 
   z^8/a^4 - (7*z^8)/a^2 - z^10/a^2, Knot[14, NonAlternating, 27260] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 27261] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^6 - (10*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[14, NonAlternating, 27262] -> 
  -4/a^10 + 5/a^8 + (2*z^2)/a^12 - (14*z^2)/a^10 + (22*z^2)/a^8 + 
   (7*z^4)/a^12 - (22*z^4)/a^10 + (28*z^4)/a^8 + (5*z^6)/a^12 - 
   (18*z^6)/a^10 + (13*z^6)/a^8 + z^8/a^12 - (7*z^8)/a^10 + (2*z^8)/a^8 - 
   z^10/a^10, Knot[14, NonAlternating, 27263] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 4*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8, Knot[14, NonAlternating, 27264] -> 
  9 - 4/a^2 - 4*a^2 + 22*z^2 - (2*z^2)/a^4 - (6*z^2)/a^2 - 10*a^2*z^2 + 
   23*z^4 - (3*z^4)/a^4 - 8*a^2*z^4 + 11*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*z^8 + z^8/a^2, Knot[14, NonAlternating, 27265] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 5*z^4 - z^4/a^6 + (8*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + 
   (3*z^6)/a^2, Knot[14, NonAlternating, 27266] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^8 + (4*z^2)/a^4 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[14, NonAlternating, 27267] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4 - a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 27268] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (7*z^2)/a^8 - (17*z^2)/a^6 + (11*z^2)/a^4 + 
   (9*z^4)/a^8 - (25*z^4)/a^6 + (10*z^4)/a^4 + (5*z^6)/a^8 - (19*z^6)/a^6 + 
   (5*z^6)/a^4 + z^8/a^8 - (7*z^8)/a^6 + z^8/a^4 - z^10/a^6, 
 Knot[14, NonAlternating, 27269] -> 2*a^4 - a^8 + 7*a^4*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 + 9*a^4*z^4 - 19*a^6*z^4 + 8*a^8*z^4 + 5*a^4*z^6 - 18*a^6*z^6 + 
   5*a^8*z^6 + a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^6*z^10, 
 Knot[14, NonAlternating, 27270] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 - (3*z^4)/a^8 + z^4/a^6 + 
   (17*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + (3*z^6)/a^6 + (10*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4, Knot[14, NonAlternating, 27271] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2/a^8 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 - z^4 - z^4/a^8 + (9*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 27272] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 6*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 27273] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 27274] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   z^2/a^8 + (6*z^2)/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^4 - 
   z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27275] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^2 - a^4*z^2 + z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^2, Knot[14, NonAlternating, 27276] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 - (6*z^2)/a^2 - 3*a^4*z^2 + 11*z^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + z^8 + a^2*z^8, Knot[14, NonAlternating, 27277] -> 
  7 - 3/a^2 - 3*a^2 + 19*z^2 - (4*z^2)/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 
   22*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 11*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27278] -> -1 - 2/a^4 + 4/a^2 + z^2 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 - z^4/a^6 + z^4/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[14, NonAlternating, 27279] -> 4 - 6*a^2 + 3*a^4 + 12*z^2 - 27*a^2*z^2 + 
   12*a^4*z^2 + 13*z^4 - 38*a^2*z^4 + 13*a^4*z^4 + 6*z^6 - 25*a^2*z^6 + 
   6*a^4*z^6 + z^8 - 8*a^2*z^8 + a^4*z^8 - a^2*z^10, 
 Knot[14, NonAlternating, 27280] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 6*z^2 - 
   8*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 + 4*z^4 - 10*a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 5*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 27281] -> 3*a^4 - 2*a^6 - 5*a^2*z^2 + 13*a^4*z^2 - 
   4*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 + 15*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 - 
   a^2*z^6 + 7*a^4*z^6 + a^4*z^8, Knot[14, NonAlternating, 27282] -> 
  5 - 2/a^2 - 2*a^2 + 15*z^2 - (3*z^2)/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 
   19*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 10*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27283] -> 2 - 2*a^2 + a^4 + 8*z^2 - (5*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 14*z^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   9*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + a^2*z^8, 
 Knot[14, NonAlternating, 27284] -> 2*a^2 - a^4 - 3*z^2 + 6*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - 4*z^4 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   5*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[14, NonAlternating, 27285] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 27286] -> 2*a^2 - a^4 - 2*z^2 + 2*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 6*a^4*z^4 - a^8*z^4 + 
   2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 27287] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + 6*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (14*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (9*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, Knot[14, NonAlternating, 27288] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 - z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - z^6 - a^2*z^6, Knot[14, NonAlternating, 27289] -> 
  -2/a^8 + 2/a^6 + a^(-4) + 2*z^2 + (4*z^2)/a^6 - z^2/a^2 + 2*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 27290] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 - z^2/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^2 + 4*a^2*z^4 + a^4*z^4, 
 Knot[14, NonAlternating, 27291] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + 
   (4*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27292] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   (2*z^2)/a^4 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 27293] -> 1 - 2*a^2 + 3*a^4 - a^8 - 4*a^2*z^2 + 
   9*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 - a^2*z^4 + 8*a^4*z^4 - a^8*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 27294] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 8*a^2*z^2 + 17*a^4*z^2 - 4*a^8*z^2 - 8*a^2*z^4 + 
   21*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 2*a^2*z^6 + 11*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 + 2*a^4*z^8 + a^6*z^8, Knot[14, NonAlternating, 27295] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 - z^2 - 4*a^2*z^2 + 12*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 - z^4 + 10*a^4*z^4 + a^6*z^4 - a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 27296] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 27297] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27298] -> a^(-10) + 3/a^8 - 11/a^6 + 8/a^4 + 
   (6*z^2)/a^10 + z^2/a^8 - (28*z^2)/a^6 + (18*z^2)/a^4 + (5*z^4)/a^10 - 
   (6*z^4)/a^8 - (29*z^4)/a^6 + (11*z^4)/a^4 + z^6/a^10 - (5*z^6)/a^8 - 
   (13*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^8 - (2*z^8)/a^6, 
 Knot[14, NonAlternating, 27299] -> a^(-10) + a^(-8) - 4/a^6 + 3/a^2 + 
   (3*z^2)/a^10 + z^2/a^8 - (11*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 - (2*z^4)/a^8 - (11*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 27300] -> 
  a^(-10) + 2/a^8 - 9/a^6 + 7/a^4 + (3*z^2)/a^10 + z^2/a^8 - (18*z^2)/a^6 + 
   (12*z^2)/a^4 + z^4/a^10 - (2*z^4)/a^8 - (13*z^4)/a^6 + (4*z^4)/a^4 - 
   z^6/a^8 - (3*z^6)/a^6, Knot[14, NonAlternating, 27301] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (5*z^2)/a^12 - (17*z^2)/a^10 + 
   (12*z^2)/a^8 + (6*z^2)/a^6 + (4*z^4)/a^12 - (12*z^4)/a^10 + (5*z^4)/a^8 + 
   (7*z^4)/a^6 + z^6/a^12 - (5*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 - 
   z^8/a^10 - z^8/a^8, Knot[14, NonAlternating, 27302] -> 
  3 + a^(-6) - 3/a^2 + 7*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - (12*z^2)/a^2 + 
   7*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - (17*z^4)/a^2 + 2*z^6 + z^6/a^6 - 
   (4*z^6)/a^4 - (10*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 27303] -> a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + 
   z^2/a^10 - (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6/a^4, 
 Knot[14, NonAlternating, 27304] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^6/a^10 - 
   (2*z^6)/a^8, Knot[14, NonAlternating, 27305] -> 
  1 + a^(-6) - 2/a^2 + a^2 + 2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^2 + a^2*z^2 + 
   z^4/a^6 - z^4/a^4 - (9*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 27306] -> -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27307] -> 1 + a^(-10) - a^(-6) - 2/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 + z^2/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 27308] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   4*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 
   9*a^4*z^4 + a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 27309] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^2, Knot[14, NonAlternating, 27310] -> 
  3*a^4 - 2*a^6 - z^2 - z^2/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + z^4 + 3*a^2*z^4 + 4*a^4*z^4 + a^6*z^4, 
 Knot[14, NonAlternating, 27311] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 27312] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + (2*z^2)/a^6 - z^2/a^2 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 27313] -> 5/a^8 - 12/a^6 + 8/a^4 + (18*z^2)/a^8 - 
   (42*z^2)/a^6 + (22*z^2)/a^4 + (18*z^4)/a^8 - (54*z^4)/a^6 + (19*z^4)/a^4 + 
   (7*z^6)/a^8 - (32*z^6)/a^6 + (7*z^6)/a^4 + z^8/a^8 - (9*z^8)/a^6 + 
   z^8/a^4 - z^10/a^6, Knot[14, NonAlternating, 27314] -> 
  3/a^8 - 5/a^6 + 3/a^2 + (8*z^2)/a^8 - (12*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 + (5*z^4)/a^8 - (13*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - z^8/a^6 - z^8/a^4, 
 Knot[14, NonAlternating, 27315] -> 1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 
   3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 27316] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^8 + 
   (4*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 + (4*z^6)/a^6 - (19*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 27317] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^4 + z^4/a^2 + 
   5*a^2*z^4 - 13*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 27318] -> 2/a^2 - 4*a^2 + 3*a^4 - 2*z^2 + 
   (5*z^2)/a^2 - 18*a^2*z^2 + 10*a^4*z^2 - 5*z^4 + (4*z^4)/a^2 - 22*a^2*z^4 + 
   8*a^4*z^4 - 4*z^6 + z^6/a^2 - 11*a^2*z^6 + 2*a^4*z^6 - z^8 - 2*a^2*z^8, 
 Knot[14, NonAlternating, 27319] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 19*z^2 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 20*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 10*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*z^8 + z^8/a^2, Knot[14, NonAlternating, 27320] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + 6*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (14*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (9*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, Knot[14, NonAlternating, 27321] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27322] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 11*z^4 - z^4/a^4 + 
   z^4/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 27323] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   5*a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 27324] -> -a^(-8) + 2/a^4 - z^2/a^8 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - z^4 - z^4/a^8 + (7*z^4)/a^4 - z^4/a^2 + z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[14, NonAlternating, 27325] -> 
  2*a^2 - a^4 - 2*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - a^8*z^4 + 2*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[14, NonAlternating, 27326] -> 
  6*a^10 - 5*a^12 + 35*a^10*z^2 - 20*a^12*z^2 + 56*a^10*z^4 - 21*a^12*z^4 + 
   36*a^10*z^6 - 8*a^12*z^6 + 10*a^10*z^8 - a^12*z^8 + a^10*z^10, 
 Knot[14, NonAlternating, 27327] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 27328] -> 6*a^4 - 7*a^6 + a^8 + a^10 + 13*a^4*z^2 - 
   20*a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 + 7*a^4*z^4 - 20*a^6*z^4 + 2*a^8*z^4 + 
   a^10*z^4 + a^4*z^6 - 8*a^6*z^6 - a^6*z^8, 
 Knot[14, NonAlternating, 27329] -> 4 - 5*a^2 + a^4 + a^6 + 6*z^2 - 
   10*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - 10*a^2*z^4 - 9*a^4*z^4 + 
   4*a^6*z^4 + z^6 - 5*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[14, NonAlternating, 27330] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 3*a^2*z^2 + 
   2*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 10*a^6*z^4 + 
   4*a^8*z^4 + a^2*z^6 - 4*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^4*z^8 - a^6*z^8, 
 Knot[14, NonAlternating, 27331] -> 3*a^2 - 3*a^4 + a^6 + 6*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 2*a^2*z^4 - 8*a^4*z^4 - 2*a^6*z^4 + 
   a^8*z^4 - 2*a^4*z^6 - a^6*z^6, Knot[14, NonAlternating, 27332] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 9*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 27333] -> 4 - 4*a^2 - a^4 + 2*a^6 + 8*z^2 - 
   14*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - 18*a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 + 2*z^6 - 10*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - 2*a^2*z^8 - 
   a^4*z^8, Knot[14, NonAlternating, 27334] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 
   4*a^2*z^2 + a^4*z^2 - 9*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 + 2*a^2*z^4 - 
   4*a^4*z^4 - 9*a^6*z^4 - a^8*z^4 + a^10*z^4 - 2*a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[14, NonAlternating, 27335] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 
   z^2 + 3*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - a^2*z^4 - 
   4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4, Knot[14, NonAlternating, 27336] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 13*z^2 + (3*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 
   24*z^4 + z^4/a^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 19*z^6 + (4*z^6)/a^2 + 
   5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 27337] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 10*z^2 + 
   (5*z^2)/a^6 - z^2/a^4 - (18*z^2)/a^2 + 8*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (22*z^4)/a^2 + 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 27338] -> 
  a^(-10) + a^(-8) - 5/a^6 + 2/a^4 + 2/a^2 + (2*z^2)/a^10 + z^2/a^8 - 
   (10*z^2)/a^6 + (4*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (9*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 27339] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 + 
   z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 4*z^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[14, NonAlternating, 27340] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 
   4*z^2 + (2*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + 
   z^4/a^6 - z^4/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 - 
   (3*z^6)/a^2, Knot[14, NonAlternating, 27341] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 19*z^2 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 28*z^4 + z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 20*z^6 + 
   (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 27342] -> 5*a^8 - 4*a^10 + 22*a^8*z^2 - 
   14*a^10*z^2 + 2*a^12*z^2 + 24*a^8*z^4 - 14*a^10*z^4 + 3*a^12*z^4 + 
   9*a^8*z^6 - 6*a^10*z^6 + a^12*z^6 + a^8*z^8 - a^10*z^8, 
 Knot[14, NonAlternating, 27343] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 
   11*a^6*z^2 - 4*a^8*z^2 + a^12*z^2 + 7*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 + a^6*z^6 - a^8*z^6 - a^10*z^6, 
 Knot[14, NonAlternating, 27344] -> -3/a^6 + 5/a^4 - a^(-2) + z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 + z^4/a^4 - z^4/a^2 - 
   2*a^2*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27345] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 
   (2*z^2)/a^8 - z^2/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - z^4 - z^4/a^8 + 
   z^4/a^6 + (9*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27346] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   2*z^2 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 5*z^4 - z^4/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[14, NonAlternating, 27347] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - z^4/a^6 - z^4/a^4 - a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 27348] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^8 + z^4/a^6 + z^4/a^2 - z^6/a^6 - 
   z^6/a^4, Knot[14, NonAlternating, 27349] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 + z^4/a^4 + (2*z^4)/a^2 - 
   a^2*z^4, Knot[14, NonAlternating, 27350] -> -2/a^10 + 3/a^8 - a^(-6) + 
   a^(-2) + (5*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^2 - (3*z^4)/a^6 - 
   (2*z^4)/a^4, Knot[14, NonAlternating, 27351] -> 
  1 + a^(-10) - a^(-8) + a^(-6) - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^4 - (2*z^4)/a^2, 
 Knot[14, NonAlternating, 27352] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[14, NonAlternating, 27353] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 27354] -> -1 + a^(-2) + a^2 - z^2 + z^4/a^6 - 
   (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[14, NonAlternating, 27355] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 27356] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + 
   (6*z^2)/a^8 - (12*z^2)/a^6 + (4*z^2)/a^2 + (4*z^4)/a^8 - (11*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 27357] -> 
  a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 4*a^2*z^2 + 2*a^4*z^2 - 11*a^6*z^2 + 
   6*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 3*a^4*z^4 - 12*a^6*z^4 + a^8*z^4 + 
   a^10*z^4 - 2*a^4*z^6 - 4*a^6*z^6 - a^8*z^6, 
 Knot[14, NonAlternating, 27358] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*z^4 - (4*z^4)/a^2 + 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 27359] -> 5 + 4/a^4 - 8/a^2 + 11*z^2 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (23*z^2)/a^2 + 8*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (24*z^4)/a^2 + 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (11*z^6)/a^2 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[14, NonAlternating, 27360] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2/a^10 + (3*z^2)/a^8 - (8*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4, 
 Knot[14, NonAlternating, 27361] -> 3/a^4 - 4/a^2 + 2*a^2 - 4*z^2 + z^2/a^6 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + z^4/a^6 - (9*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 27362] -> a^(-10) - 2/a^6 - a^(-4) + 3/a^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (8*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 + z^4/a^8 - (10*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 27363] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 22*z^2 + (3*z^2)/a^4 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 36*z^4 + z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 25*z^6 + 
   (5*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 27364] -> 5 + 2/a^6 - 6/a^2 + 12*z^2 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 - (21*z^2)/a^2 + 9*z^4 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 - (25*z^4)/a^2 + 2*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (12*z^6)/a^2 - z^8/a^4 - (2*z^8)/a^2, Knot[14, NonAlternating, 27365] -> 
  -3 + a^(-6) + 3*a^2 - 11*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 11*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 27366] -> 2/a^6 - a^(-4) - 2/a^2 + 2*a^2 - 3*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (10*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 - z^6/a^4 - (3*z^6)/a^2, 
 Knot[14, NonAlternating, 27367] -> 3 - a^(-2) - a^2 + 8*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + 3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^2, 
 Knot[14, NonAlternating, 27368] -> 2*a^4 - a^8 - a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - z^4 - a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - a^8*z^4 + a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[14, NonAlternating, 27369] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - (4*z^2)/a^14 - (7*z^2)/a^12 + 
   (18*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^14 + (18*z^4)/a^10 + (12*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[14, NonAlternating, 27370] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 + 
   (8*z^4)/a^10 - (17*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[14, NonAlternating, 27371] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 3*z^2 + 
   z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (6*z^4)/a^2 + z^6 + z^6/a^6 - (4*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 27372] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 8*z^2 + z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 9*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 5*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 27373] -> 5 + a^(-8) + a^(-4) - 6/a^2 + 7*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - (12*z^2)/a^2 + 2*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[14, NonAlternating, 27374] -> 
  -2 + a^(-6) + a^2 + a^4 - 6*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + 
   z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 27375] -> a^(-8) - 2/a^2 + 2*a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2, Knot[14, NonAlternating, 27376] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 2*z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + z^4/a^4 + (2*z^4)/a^2 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 27377] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + z^2/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^4, 
 Knot[14, NonAlternating, 27378] -> 3*a^2 - 3*a^4 + a^6 + 2*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 27379] -> -1 + a^(-8) - a^(-4) + 2*a^2 - 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[14, NonAlternating, 27380] -> -1 + a^(-4) + a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - z^4/a^4 - a^2*z^4 + 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 27381] -> 
  -a^(-4) + 2/a^2 - (3*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 + (15*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^8 + 
   (4*z^6)/a^6 + (10*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4, 
 Knot[14, NonAlternating, 27382] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   4*z^2 + (4*z^2)/a^2 + a^2*z^2 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 27383] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 
   z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4 - z^4/a^2 + a^2*z^4 + z^6 + 
   a^2*z^6, Knot[14, NonAlternating, 27384] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   2*z^2 - z^2/a^4 + (3*z^2)/a^2 + z^4/a^6 - z^4/a^2 + a^2*z^4 - z^6 - 
   z^6/a^4 - (2*z^6)/a^2, Knot[14, NonAlternating, 27385] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^8 - (12*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 27386] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   4*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   a^4*z^4 - 3*z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 27387] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + z^6/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 27388] -> 
  -a^(-4) + 2/a^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^4 - z^4/a^2 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[14, NonAlternating, 27389] -> 
  1 + 8*z^2 - (6*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 16*z^4 - (7*z^4)/a^2 + 
   5*a^2*z^4 - 4*a^4*z^4 + 10*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   2*z^8 + a^2*z^8, Knot[14, NonAlternating, 27390] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 
   6*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[14, NonAlternating, 27391] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 8*z^4 - 
   (8*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 27392] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 + (2*z^4)/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 + 
   (11*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 + (3*z^6)/a^6 - 
   z^8/a^10 - (2*z^8)/a^8, Knot[14, NonAlternating, 27393] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 + (7*z^2)/a^4 - (11*z^2)/a^2 + 
   5*a^2*z^2 - 6*z^4 + (7*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^2, 
 Knot[14, NonAlternating, 27394] -> 2/a^4 - 2/a^2 + a^4 - 2*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[14, NonAlternating, 27395] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, Knot[14, NonAlternating, 27396] -> 
  a^(-2) - a^2 + a^4 + (3*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 3*z^6 + z^6/a^2 - 10*a^2*z^6 + 
   2*a^4*z^6 - z^8 - 2*a^2*z^8, Knot[14, NonAlternating, 27397] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 27*z^2 + (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 40*z^4 + z^4/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 26*z^6 + 
   (5*z^6)/a^2 + 6*a^2*z^6 - 8*z^8 + z^8/a^2 + a^2*z^8 - z^10, 
 Knot[14, NonAlternating, 27398] -> 2 + a^(-4) - 2/a^2 + 9*z^2 - z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 10*z^4 - z^4/a^4 + a^2*z^4 - 
   a^4*z^4 + 3*z^6 + z^6/a^2 + a^2*z^6, Knot[14, NonAlternating, 27399] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 6*a^4*z^2 - 5*a^6*z^2 + 9*a^8*z^2 - 
   2*a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 27400] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 - z^2/a^4 - (3*z^2)/a^2 - a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4, Knot[14, NonAlternating, 27401] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - z^4 + 
   a^2*z^4 - 2*a^4*z^4 - a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[14, NonAlternating, 27402] -> 1 - z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[14, NonAlternating, 27403] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + z^6/a^6 + z^6/a^4 - z^6/a^2, 
 Knot[14, NonAlternating, 27404] -> 2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 3*z^6 + z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, Knot[14, NonAlternating, 27405] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 + z^4/a^10 - (6*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 - (3*z^6)/a^8 - z^6/a^6, 
 Knot[14, NonAlternating, 27406] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^4 + 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[14, NonAlternating, 27407] -> 
  -2/a^6 + 3/a^4 - 6*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 - (4*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, 
 Knot[14, NonAlternating, 27408] -> a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[14, NonAlternating, 27409] -> 
  -3/a^8 + 4/a^6 - z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (17*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^10 + 
   (2*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + z^8/a^8 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 27410] -> 4 - 5*a^2 + 2*a^4 - a^6 + a^8 + 6*z^2 - 
   14*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 12*a^2*z^4 + 
   6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 - 3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + 
   a^4*z^8, Knot[14, NonAlternating, 27411] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + (3*z^2)/a^8 - (12*z^2)/a^4 + (8*z^2)/a^2 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 + z^6/a^8 - (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4, 
 Knot[14, NonAlternating, 27412] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   z^2/a^10 + (4*z^2)/a^8 - (8*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4/a^10 + z^4/a^8 - (10*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4, Knot[14, NonAlternating, 27413] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + (9*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 27414] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, 
 Knot[14, NonAlternating, 27415] -> a^(-10) - 3/a^6 + a^(-4) + 2/a^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^2 + z^4/a^10 + z^4/a^8 - 
   (11*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4, Knot[14, NonAlternating, 27416] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^8 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (8*z^2)/a^2 + (8*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 + (5*z^6)/a^6 - 
   (19*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[14, NonAlternating, 27417] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + 
   (16*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 + z^8/a^8 + (2*z^8)/a^6, Knot[14, NonAlternating, 27418] -> 
  -1 + 2/a^6 - 2/a^4 + 2*a^2 - 7*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^2, 
 Knot[14, NonAlternating, 27419] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 14*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 24*z^4 + z^4/a^4 + (4*z^4)/a^2 + 
   9*a^2*z^4 - 19*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + a^2*z^8 - 
   z^10, Knot[14, NonAlternating, 27420] -> -3 + a^(-6) + 3*a^2 - 9*z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 8*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 4*z^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[14, NonAlternating, 27421] -> 1 - z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - 2*z^4 - z^4/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 + z^4/a^2 + 
   z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2, Knot[14, NonAlternating, 27422] -> 
  a^2 + a^6 - a^8 - z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + 8*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + 3*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*a^4*z^8, Knot[14, NonAlternating, 27423] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 9*z^2 + z^2/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - 10*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   5*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - a^2*z^8, 
 Knot[14, NonAlternating, 27424] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^8 - 
   (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[14, NonAlternating, 27425] -> -2 + a^(-4) + 2*a^2 - 16*z^2 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 + z^4/a^4 + (6*z^4)/a^2 + 
   10*a^2*z^4 - 20*z^6 + (4*z^6)/a^2 + 5*a^2*z^6 - 7*z^8 + z^8/a^2 + 
   a^2*z^8 - z^10, Knot[14, NonAlternating, 27426] -> 
  -a^(-6) + a^(-4) + a^(-2) - 6*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 - (5*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   z^8/a^4 + (7*z^8)/a^2 + z^10/a^2, Knot[14, NonAlternating, 27427] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^2, Knot[14, NonAlternating, 27428] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 + (6*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 + z^6 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[14, NonAlternating, 27429] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (2*z^8)/a^6, 
 Knot[14, NonAlternating, 27430] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   (6*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^10 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4, Knot[14, NonAlternating, 27431] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) + z^2/a^8 + (9*z^2)/a^6 + 
   (2*z^4)/a^12 - (6*z^4)/a^8 + (10*z^4)/a^6 + z^6/a^12 - (2*z^6)/a^10 - 
   (7*z^6)/a^8 + (3*z^6)/a^6 - z^8/a^10 - (2*z^8)/a^8, 
 Knot[14, NonAlternating, 27432] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4/a^8 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[14, NonAlternating, 27433] -> 
  2*a^6 + a^8 - 2*a^10 - a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 - 2*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[14, NonAlternating, 27434] -> 3/a^16 - 12/a^14 + 10/a^12 + 
   (11*z^2)/a^16 - (60*z^2)/a^14 + (67*z^2)/a^12 + (9*z^4)/a^16 - 
   (85*z^4)/a^14 + (135*z^4)/a^12 + (2*z^6)/a^16 - (49*z^6)/a^14 + 
   (122*z^6)/a^12 - (12*z^8)/a^14 + (55*z^8)/a^12 - z^10/a^14 + 
   (12*z^10)/a^12 + z^12/a^12, Knot[14, NonAlternating, 27435] -> 
  2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 + (5*z^2)/a^16 - (28*z^2)/a^14 + 
   (21*z^2)/a^12 + (19*z^2)/a^10 + (2*z^4)/a^16 - (28*z^4)/a^14 + 
   (35*z^4)/a^12 + (37*z^4)/a^10 - (10*z^6)/a^14 + (27*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[14, NonAlternating, 27436] -> 
  2/a^16 - 9/a^14 + 7/a^12 + a^(-10) + (4*z^2)/a^16 - (25*z^2)/a^14 + 
   (19*z^2)/a^12 + (20*z^2)/a^10 + (2*z^4)/a^16 - (26*z^4)/a^14 + 
   (32*z^4)/a^12 + (38*z^4)/a^10 - (10*z^6)/a^14 + (26*z^6)/a^12 + 
   (28*z^6)/a^10 - z^8/a^14 + (9*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^12 + 
   z^10/a^10, Knot[15, Alternating, 1] -> -7 + 2/a^2 + 14*a^2 - 13*a^4 + 
   6*a^6 - a^8 - 23*z^2 + (5*z^2)/a^2 + 37*a^2*z^2 - 28*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 - 28*z^4 + (7*z^4)/a^2 + 39*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   18*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 2] -> 
  -12 - a^(-4) + 6/a^2 + 14*a^2 - 8*a^4 + 2*a^6 - 36*z^2 - (4*z^2)/a^4 + 
   (19*z^2)/a^2 + 31*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 39*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3] -> -3 + 2/a^2 + a^2 + 3*a^4 - 3*a^6 + a^8 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 4] -> 
  -13 - a^(-4) + 7/a^2 + 13*a^2 - 7*a^4 + 2*a^6 - 34*z^2 - (4*z^2)/a^4 + 
   (17*z^2)/a^2 + 31*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 35*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 31*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5] -> 
  -2 - a^(-8) + 5/a^6 - 9/a^4 + 8/a^2 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6] -> -14 + a^(-6) - 6/a^4 + 14/a^2 + 7*a^2 - a^4 - 
   33*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (35*z^2)/a^2 + 13*a^2*z^2 - 
   2*a^4*z^2 - 30*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (37*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7] -> 1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 21*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 17*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8] -> -14 - 2/a^4 + 9/a^2 + 12*a^2 - 
   5*a^4 + a^6 - 35*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 28*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 35*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 
   28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9] -> -a^(-6) + 4/a^4 - 4/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 2*z^4 - z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 10] -> -3 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 - a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11] -> 
  2*a^2 - 5*a^4 + 12*a^6 - 14*a^8 + 8*a^10 - 2*a^12 + 5*a^2*z^2 - 
   18*a^4*z^2 + 36*a^6*z^2 - 31*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 + 
   6*a^2*z^4 - 26*a^4*z^4 + 39*a^6*z^4 - 24*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 17*a^4*z^6 + 20*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12] -> 
  1 - 2*a^2 + 4*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 2*z^2 - 6*a^2*z^2 + 
   7*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 
   19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 14] -> 
  1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 
   21*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 
   27*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 16*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 10*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16] -> -10 - a^(-4) + 6/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   29*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 25*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 32*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 28*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17] -> -11 - 3/a^4 + 10/a^2 + 6*a^2 - a^4 - 30*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (29*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 
   30*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18] -> -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 30*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 28*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 36*z^4 - 
   (5*z^4)/a^4 + (23*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 19] -> 5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + 
   a^10 - 4*z^2 + 18*a^2*z^2 - 31*a^4*z^2 + 25*a^6*z^2 - 9*a^8*z^2 + 
   a^10*z^2 - 6*z^4 + 25*a^2*z^4 - 36*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 17*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20] -> 
  -4 + a^(-2) + 10*a^2 - 10*a^4 + 5*a^6 - a^8 - 18*z^2 + (4*z^2)/a^2 + 
   31*a^2*z^2 - 25*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 
   36*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21] -> 1 - 3/a^8 + 6/a^6 - 3/a^4 + 2*z^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22] -> 2 - a^2 - 3*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 
   6*z^4 - (2*z^4)/a^2 - 9*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   4*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23] -> 
  -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 24] -> -6 - a^(-8) + 4/a^6 - 8/a^4 + 
   10/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (26*z^2)/a^4 + 
   (27*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (31*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 25] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + 
   a^8 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   z^4/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26] -> 
  a^2 - 2*a^4 + 8*a^6 - 11*a^8 + 7*a^10 - 2*a^12 + 4*a^2*z^2 - 13*a^4*z^2 + 
   30*a^6*z^2 - 28*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 
   23*a^4*z^4 + 36*a^6*z^4 - 24*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 20*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 27] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + z^2 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 
   z^4 - 4*a^2*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28] -> 
  -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 29] -> 5 - a^(-8) + 2/a^6 - 3/a^2 - 3*a^2 + 
   a^4 + 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30] -> -1 + 10*a^2 - 18*a^4 + 15*a^6 - 6*a^8 + a^10 - 
   7*z^2 + 28*a^2*z^2 - 43*a^4*z^2 + 29*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 
   8*z^4 + 32*a^2*z^4 - 41*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   19*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 31] -> -6 + a^(-2) + 16*a^2 - 17*a^4 + 
   9*a^6 - 2*a^8 - 23*z^2 + (5*z^2)/a^2 + 42*a^2*z^2 - 34*a^4*z^2 + 
   12*a^6*z^2 - a^8*z^2 - 29*z^4 + (7*z^4)/a^2 + 42*a^2*z^4 - 24*a^4*z^4 + 
   4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 32] -> 
  1 - a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33] -> -2 + a^(-2) + 2*a^2 + 3*a^4 - 6*a^6 + 4*a^8 - 
   a^10 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 9*a^4*z^2 - 11*a^6*z^2 + 
   4*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 9*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + 
   z^6/a^2 - a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 34] -> -6 + a^(-2) + 16*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 
   23*z^2 + (5*z^2)/a^2 + 42*a^2*z^2 - 34*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 
   29*z^4 + (7*z^4)/a^2 + 42*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35] -> -a^(-10) - 2/a^8 + 8/a^6 - 7/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + z^2/a^8 + (16*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (6*z^4)/a^8 + (13*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 36] -> 1 - a^(-10) + 2/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37] -> 
  a^(-10) - 8/a^8 + 15/a^6 - 11/a^4 + 4/a^2 - z^2/a^12 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (30*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^8 + 
   (24*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 38] -> 2 - a^(-10) + 2/a^8 - 4/a^6 + 7/a^4 - 5/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (8*z^2)/a^6 + (12*z^2)/a^4 - 
   (9*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 39] -> 
  -2 - a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 2/a^2 + a^2 - 3*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[15, Alternating, 40] -> -14 + a^(-6) - 6/a^4 + 14/a^2 + 
   7*a^2 - a^4 - 33*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (35*z^2)/a^2 + 
   13*a^2*z^2 - 2*a^4*z^2 - 30*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (37*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 41] -> -7 + 2/a^2 + 14*a^2 - 13*a^4 + 6*a^6 - a^8 - 
   23*z^2 + (5*z^2)/a^2 + 37*a^2*z^2 - 28*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   28*z^4 + (7*z^4)/a^2 + 39*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42] -> -3 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 - a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43] -> 
  -14 - 2/a^4 + 9/a^2 + 12*a^2 - 5*a^4 + a^6 - 35*z^2 - (5*z^2)/a^4 + 
   (21*z^2)/a^2 + 28*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 35*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 44] -> 
  -12 - a^(-4) + 6/a^2 + 14*a^2 - 8*a^4 + 2*a^6 - 36*z^2 - (4*z^2)/a^4 + 
   (19*z^2)/a^2 + 31*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 39*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45] -> 1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 21*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 17*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 46] -> 2*a^2 - 5*a^4 + 12*a^6 - 14*a^8 + 
   8*a^10 - 2*a^12 + 5*a^2*z^2 - 18*a^4*z^2 + 36*a^6*z^2 - 31*a^8*z^2 + 
   12*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 26*a^4*z^4 + 39*a^6*z^4 - 
   24*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 20*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 47] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 10*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48] -> 1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 21*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 17*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   10*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50] -> -13 - a^(-4) + 7/a^2 + 13*a^2 - 7*a^4 + 2*a^6 - 
   34*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 31*a^2*z^2 - 15*a^4*z^2 + 
   2*a^6*z^2 - 35*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 31*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 51] -> -2 - a^(-8) + 5/a^6 - 9/a^4 + 8/a^2 - a^2 + 
   a^4 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52] -> 
  -6 + 2/a^2 + 11*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 16*z^2 + (4*z^2)/a^2 + 
   29*a^2*z^2 - 32*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   32*a^2*z^4 - 33*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53] -> -6 - 2/a^8 + 8/a^6 - 13/a^4 + 
   12/a^2 + 2*a^2 - 18*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (32*z^2)/a^4 + 
   (32*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (31*z^4)/a^4 + (35*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 54] -> 
  4*a^2 - 9*a^4 + 9*a^6 - 2*a^8 - a^10 + 10*a^2*z^2 - 23*a^4*z^2 + 
   16*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 10*a^2*z^4 - 27*a^4*z^4 + 
   6*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 - 4*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 55] -> 
  2 - 4*a^2 + 5*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 4*z^2 - 9*a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 + 9*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 9*a^2*z^4 + 
   3*a^4*z^4 - 7*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 56] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 57] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 10/a^6 - 
   5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + 
   (24*z^2)/a^6 - (13*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (22*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 58] -> -7 + 2/a^2 + 11*a^2 - 8*a^4 + 5*a^6 - 2*a^8 - 
   17*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 59] -> 
  4 + a^(-4) - 3/a^2 - 2*a^2 + a^4 + a^6 - a^8 + 7*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 60] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 61] -> -4 + a^(-4) + 8*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 62] -> 
  4*a^2 - 9*a^4 + 9*a^6 - 2*a^8 - a^10 + z^2 + 7*a^2*z^2 - 20*a^4*z^2 + 
   17*a^6*z^2 - a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 63] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 64] -> -3 + a^(-2) + 4*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 
   11*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 
   14*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 65] -> 
  -3 + a^(-2) + 4*a^2 - a^4 + a^6 - a^8 - 4*z^2 + z^2/a^4 + 5*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 66] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - 
   (6*z^2)/a^14 + (19*z^2)/a^12 - (19*z^2)/a^10 + (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^4)/a^14 + (30*z^4)/a^12 - (33*z^4)/a^10 + z^4/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (30*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 67] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (9*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 68] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^4 - a^6 - 
   8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 69] -> -a^(-14) + 3/a^12 - 4/a^10 + 
   2/a^8 - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - (7*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (7*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 70] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - 
   (6*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 71] -> 
  -13 + 2/a^6 - 7/a^4 + 13/a^2 + 7*a^2 - a^4 - 33*z^2 + (3*z^2)/a^6 - 
   (18*z^2)/a^4 + (34*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 30*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (37*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 72] -> 
  -2 + a^(-4) - a^(-2) + 8*a^2 - 9*a^4 + 5*a^6 - a^8 - 4*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 17*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 73] -> -14 - a^(-4) + 7/a^2 + 14*a^2 - 6*a^4 + a^6 - 
   36*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 32*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 37*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 30*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 74] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (23*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 75] -> -4 + a^(-4) + 8*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 76] -> 
  -14 + a^(-6) - 5/a^4 + 12/a^2 + 9*a^2 - 2*a^4 - 34*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (31*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 32*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 77] -> 
  a^(-6) - 3/a^4 + 4/a^2 - 4*a^2 + 4*a^4 - a^6 + z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 78] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (23*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 79] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 10/a^6 - 
   5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + 
   (24*z^2)/a^6 - (13*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (22*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 80] -> -7 + 2/a^2 + 11*a^2 - 8*a^4 + 5*a^6 - 2*a^8 - 
   17*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 81] -> 
  -14 + a^(-6) - 5/a^4 + 12/a^2 + 9*a^2 - 2*a^4 - 35*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (28*z^2)/a^2 + 21*a^2*z^2 - 5*a^4*z^2 - 37*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (28*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 82] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 26*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 26*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 83] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 16*z^2 + (3*z^2)/a^2 + 
   27*a^2*z^2 - 23*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 84] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   7*z^2 + z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 85] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 3*z^2 + 
   13*a^2*z^2 - 22*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   18*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 86] -> 2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   4*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 19*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   4*a^2*z^4 - 18*a^4*z^4 + 27*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 87] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 17*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (23*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 88] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 89] -> 
  -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 90] -> -1 + 8*a^2 - 12*a^4 + 8*a^6 - 2*a^8 - 6*z^2 + 
   24*a^2*z^2 - 33*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 8*z^4 + 
   29*a^2*z^4 - 35*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 19*a^2*z^6 - 
   17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 91] -> -a^(-10) - 2/a^8 + 8/a^6 - 7/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 92] -> 
  1 - a^(-10) + 2/a^6 - a^(-2) + z^2 + z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 93] -> -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 94] -> -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 28*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 30*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 
   33*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 31*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   20*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 95] -> 
  3*a^2 - 6*a^4 + 5*a^6 + a^8 - 2*a^10 + 9*a^2*z^2 - 17*a^4*z^2 + 6*a^6*z^2 + 
   12*a^8*z^2 - 5*a^10*z^2 + 10*a^2*z^4 - 23*a^4*z^4 - 4*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 9*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 96] -> 
  -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 28*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (28*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (30*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 97] -> -7 - a^(-8) + 6/a^6 - 13/a^4 + 14/a^2 + 
   2*a^2 - 19*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (31*z^2)/a^4 + 
   (34*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (30*z^4)/a^4 + (36*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 98] -> 
  -12 + 2/a^6 - 8/a^4 + 14/a^2 + 6*a^2 - a^4 - 33*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (32*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 35*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (31*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 99] -> 
  -3 + a^(-8) - 3/a^6 + 3/a^4 + a^(-2) + 2*a^2 - 7*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 100] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 101] -> -a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 102] -> -5 + 2/a^2 + 8*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 
   16*z^2 + (4*z^2)/a^2 + 26*a^2*z^2 - 26*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 
   18*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 29*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 103] -> 
  2*a^2 - 2*a^4 - 2*a^6 + 7*a^8 - 4*a^10 + 8*a^2*z^2 - 10*a^4*z^2 - 
   6*a^6*z^2 + 20*a^8*z^2 - 6*a^10*z^2 + 9*a^2*z^4 - 19*a^4*z^4 - 
   11*a^6*z^4 + 20*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 
   10*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 104] -> 
  3*a^2 - 6*a^4 + 5*a^6 + a^8 - 2*a^10 + 2*z^2 + 4*a^2*z^2 - 13*a^4*z^2 + 
   8*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 14*a^4*z^4 + 
   2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 105] -> 
  -3 + a^(-2) + 7*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 13*z^2 + (4*z^2)/a^2 + 
   23*a^2*z^2 - 27*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 106] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 13*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (25*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 107] -> 1 - a^2 + a^4 - a^6 + 3*a^8 - 2*a^10 + 3*z^2 - 
   3*a^2*z^2 - a^4*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 
   7*a^4*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 108] -> 
  -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (26*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (27*z^4)/a^4 + (33*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 109] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (22*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (24*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 110] -> 
  -6 + 2/a^2 + 8*a^2 - 4*a^4 + 2*a^6 - a^8 - 17*z^2 + (5*z^2)/a^2 + 
   21*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   22*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 111] -> -2/a^14 + 6/a^12 - 8/a^10 + 
   3/a^8 + 2/a^6 - (6*z^2)/a^14 + (22*z^2)/a^12 - (25*z^2)/a^10 + 
   (8*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (31*z^4)/a^12 - (37*z^4)/a^10 + 
   (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (31*z^6)/a^10 - 
   (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 112] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - (3*z^2)/a^14 + (9*z^2)/a^12 - 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 113] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 114] -> -2/a^14 + 6/a^12 - 8/a^10 + 4/a^8 + a^(-4) - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (15*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 - z^4/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 115] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 116] -> 
  -10 + a^(-6) - 4/a^4 + 9/a^2 + 6*a^2 - a^4 - 28*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (28*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 28*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (33*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 117] -> 
  -11 - a^(-4) + 6/a^2 + 10*a^2 - 3*a^4 - 33*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 36*z^4 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 118] -> -6 + 2/a^2 + 8*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - 10*z^2 + z^2/a^4 + z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 119] -> -13 + a^(-6) - 5/a^4 + 11/a^2 + 10*a^2 - 
   3*a^4 - 35*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (27*z^2)/a^2 + 23*a^2*z^2 - 
   5*a^4*z^2 - 38*z^4 + z^4/a^6 - (9*z^4)/a^4 + (27*z^4)/a^2 + 21*a^2*z^4 - 
   3*a^4*z^4 - 21*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 120] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (11*z^2)/a^10 - (21*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (5*z^4)/a^10 - (23*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 121] -> 
  -4 + 2/a^6 - 6/a^4 + 8/a^2 + a^4 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 122] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 + 3*z^2 - 
   2*a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - a^10*z^2 + 3*z^4 - 
   4*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 123] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 
   17*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (27*z^2)/a^2 + 
   4*a^2*z^2 - 19*z^4 - z^4/a^8 + (9*z^4)/a^6 - (27*z^4)/a^4 + (33*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 124] -> 1 - a^2 + a^4 - a^6 + 3*a^8 - 2*a^10 + 3*z^2 - 
   3*a^2*z^2 - a^4*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 
   7*a^4*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 125] -> 
  -3 + a^(-4) - a^(-2) + 9*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 17*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 126] -> -2/a^12 + 8/a^10 - 14/a^8 + 12/a^6 - 5/a^4 + 
   2/a^2 - (3*z^2)/a^12 + (17*z^2)/a^10 - (32*z^2)/a^8 + (31*z^2)/a^6 - 
   (15*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (32*z^4)/a^8 + 
   (31*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (17*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 127] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 4/a^4 - 2/a^2 + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 128] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (11*z^2)/a^10 - (21*z^2)/a^8 + 
   (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 + (5*z^4)/a^10 - 
   (23*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 129] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 130] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 2*a^4 + 2*a^6 - 
   a^8 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 131] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 
   6/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 132] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (24*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 133] -> -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 
   19*z^2 + (5*z^2)/a^2 + 28*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 31*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 134] -> 
  -11 - a^(-8) + 6/a^6 - 13/a^4 + 16/a^2 + 4*a^2 - 25*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (33*z^2)/a^4 + (39*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (31*z^4)/a^4 + (40*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 135] -> 
  1 - a^(-12) + 5/a^10 - 11/a^8 + 13/a^6 - 8/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (23*z^2)/a^8 + (29*z^2)/a^6 - (17*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (25*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 136] -> 
  -13 + a^(-6) - 5/a^4 + 11/a^2 + 10*a^2 - 3*a^4 - 35*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (27*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 38*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (27*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 137] -> 
  -7 + 2/a^2 + 14*a^2 - 15*a^4 + 10*a^6 - 3*a^8 - 20*z^2 + (5*z^2)/a^2 + 
   35*a^2*z^2 - 35*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   35*a^2*z^4 - 33*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 138] -> -11 - a^(-8) + 6/a^6 - 13/a^4 + 
   16/a^2 + 4*a^2 - 25*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (33*z^2)/a^4 + 
   (39*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (31*z^4)/a^4 + (40*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 139] -> 
  1 - a^(-12) + 5/a^10 - 11/a^8 + 13/a^6 - 8/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (23*z^2)/a^8 + (29*z^2)/a^6 - (17*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (25*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 140] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + 2*a^6 - a^8 + 9*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 7*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 141] -> -1 + a^(-10) - 6/a^8 + 15/a^6 - 18/a^4 + 
   10/a^2 - 3*z^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (36*z^2)/a^6 - 
   (42*z^2)/a^4 + (20*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (33*z^4)/a^6 - (40*z^4)/a^4 + (18*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (20*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 142] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 143] -> 
  1 + a^(-4) - 2/a^2 + 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 2*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 144] -> -7 + 2/a^2 + 14*a^2 - 15*a^4 + 10*a^6 - 
   3*a^8 - 20*z^2 + (5*z^2)/a^2 + 35*a^2*z^2 - 35*a^4*z^2 + 19*a^6*z^2 - 
   3*a^8*z^2 - 21*z^4 + (4*z^4)/a^2 + 35*a^2*z^4 - 33*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 145] -> 
  -3 + 12*a^2 - 15*a^4 + 10*a^6 - 3*a^8 - 11*z^2 + z^2/a^2 + 33*a^2*z^2 - 
   36*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 36*a^2*z^4 - 
   34*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 146] -> 6*a^2 - 13*a^4 + 14*a^6 - 8*a^8 + 2*a^10 - 
   2*z^2 + 15*a^2*z^2 - 34*a^4*z^2 + 33*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 16*a^2*z^4 - 36*a^4*z^4 + 31*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 19*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 147] -> 
  3 - 4*a^2 + a^4 + 3*a^6 - 3*a^8 + a^10 + 5*z^2 - z^2/a^2 - 8*a^2*z^2 - 
   a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 - 
   2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 148] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 149] -> 
  -4 - 2/a^4 + 6/a^2 - a^2 + 3*a^4 - a^6 - 9*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 150] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 20*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 151] -> 
  2/a^6 - 5/a^4 + 5/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 152] -> 2/a^6 - 4/a^4 + 3/a^2 - a^4 + a^6 + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 153] -> 2*a^4 + 2*a^6 - 8*a^8 + 
   9*a^10 - 5*a^12 + a^14 - a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 - 19*a^8*z^2 + 
   17*a^10*z^2 - 5*a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 8*a^6*z^4 - 
   18*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 7*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 154] -> 
  -14 - 5/a^4 + 14/a^2 + 8*a^2 - 2*a^4 - 33*z^2 + (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (35*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (36*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 155] -> 
  -2/a^4 + 4/a^2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 156] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 8*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 157] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 20*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 158] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 8*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 159] -> -1 + 7*a^2 - 11*a^4 + 10*a^6 - 5*a^8 + a^10 - 
   4*z^2 + 18*a^2*z^2 - 28*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 21*a^2*z^4 - 30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 160] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 
   7*a^6 - 2*a^8 - 14*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 25*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 161] -> 
  -1 + a^(-2) + 3*a^4 - 4*a^6 + 3*a^8 - a^10 - 3*z^2 + z^2/a^2 + 6*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + z^4/a^2 + 6*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + 
   z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 162] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 26*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 26*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 163] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 16*z^2 + (3*z^2)/a^2 + 
   27*a^2*z^2 - 23*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 164] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   7*z^2 + z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 165] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 166] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 167] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 15*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 168] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 169] -> -a^(-10) - 2/a^8 + 8/a^6 - 7/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 170] -> 
  1 - a^(-10) + 2/a^6 - a^(-2) + z^2 + z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 171] -> -8 + 2/a^6 - 7/a^4 + 11/a^2 + 3*a^2 - 27*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   31*z^4 + z^4/a^6 - (12*z^4)/a^4 + (30*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 172] -> 
  a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (28*z^2)/a^6 - (30*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - (34*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 173] -> -3/a^14 + 9/a^12 - 12/a^10 + 6/a^8 + a^(-6) - 
   (7*z^2)/a^14 + (28*z^2)/a^12 - (35*z^2)/a^10 + (16*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^4)/a^14 + (35*z^4)/a^12 - (47*z^4)/a^10 + 
   (10*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (36*z^6)/a^10 - 
   (4*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 174] -> 
  -2/a^14 + 5/a^12 - 5/a^10 + 3/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (9*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (9*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 175] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 6/a^8 + 5/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 176] -> 
  5*a^4 - 13*a^6 + 16*a^8 - 7*a^10 + 24*a^4*z^2 - 61*a^6*z^2 + 63*a^8*z^2 - 
   18*a^10*z^2 + 35*a^4*z^4 - 105*a^6*z^4 + 86*a^8*z^4 - 17*a^10*z^4 + 
   24*a^4*z^6 - 89*a^6*z^6 + 55*a^8*z^6 - 7*a^10*z^6 + 8*a^4*z^8 - 
   41*a^6*z^8 + 17*a^8*z^8 - a^10*z^8 + a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 177] -> a^2 + a^4 - 6*a^6 + 10*a^8 - 
   5*a^10 + 7*a^2*z^2 - 4*a^4*z^2 - 16*a^6*z^2 + 28*a^8*z^2 - 8*a^10*z^2 + 
   9*a^2*z^4 - 15*a^4*z^4 - 21*a^6*z^4 + 27*a^8*z^4 - 5*a^10*z^4 + 
   5*a^2*z^6 - 14*a^4*z^6 - 15*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 178] -> 2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + 
   9*a^2*z^2 - 14*a^4*z^2 + 17*a^8*z^2 - 6*a^10*z^2 + 10*a^2*z^4 - 
   22*a^4*z^4 - 8*a^6*z^4 + 20*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 10*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 179] -> -4 - a^(-8) + 5/a^6 - 10/a^4 + 10/a^2 + a^2 - 
   14*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + (28*z^2)/a^2 + 
   3*a^2*z^2 - 17*z^4 - z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + 
   (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 180] -> 2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + 2*z^2 + 
   4*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 13*a^4*z^4 - 2*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 181] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 
   3/a^4 - a^(-2) + 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 182] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - a^(-6) + 2/a^4 - z^2/a^14 + 
   (5*z^2)/a^12 - (3*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 183] -> 1 - 2*a^2 + 4*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 
   4*z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 9*a^6*z^2 + 13*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 - 9*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 184] -> -a^(-12) + 4/a^10 - 8/a^8 + 9/a^6 - 6/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (19*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 185] -> -6 + a^(-8) - 2/a^6 + 5/a^2 + 3*a^2 - 12*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 186] -> -a^(-14) + a^(-12) + 2/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (10*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 187] -> -15 + 2/a^6 - 8/a^4 + 15/a^2 + 9*a^2 - 2*a^4 - 
   38*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (35*z^2)/a^2 + 20*a^2*z^2 - 
   4*a^4*z^2 - 38*z^4 + z^4/a^6 - (12*z^4)/a^4 + (33*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 188] -> 
  a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 - 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (9*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 189] -> 
  -2/a^12 + 7/a^10 - 11/a^8 + 8/a^6 - 2/a^4 + a^(-2) - (3*z^2)/a^12 + 
   (17*z^2)/a^10 - (29*z^2)/a^8 + (25*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (31*z^4)/a^8 + (27*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (16*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 190] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + 
   z^2 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 191] -> 3*a^2 - 7*a^4 + 8*a^6 - 2*a^8 - a^10 + 
   10*a^2*z^2 - 22*a^4*z^2 + 15*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 
   12*a^2*z^4 - 30*a^4*z^4 + 5*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 
   6*a^2*z^6 - 20*a^4*z^6 - 6*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   7*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 192] -> 1 - a^2 + 2*a^6 - a^10 + 3*z^2 - 2*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 4*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 193] -> -a^(-12) + 4/a^10 - 8/a^8 + 9/a^6 - 6/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (19*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 194] -> a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 195] -> 
  -6 + a^(-8) - 2/a^6 + 5/a^2 + 3*a^2 - 12*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 196] -> 
  -6 - 2/a^8 + 9/a^6 - 17/a^4 + 16/a^2 + a^2 - 16*z^2 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (39*z^2)/a^4 + (37*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (36*z^4)/a^4 + (36*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 197] -> 
  -2 - a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + 2/a^2 + a^2 - 6*z^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (12*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 198] -> -15 + 2/a^6 - 8/a^4 + 15/a^2 + 9*a^2 - 2*a^4 - 
   38*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (35*z^2)/a^2 + 20*a^2*z^2 - 
   4*a^4*z^2 - 38*z^4 + z^4/a^6 - (12*z^4)/a^4 + (33*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 199] -> 
  -6 - 2/a^8 + 9/a^6 - 17/a^4 + 16/a^2 + a^2 - 16*z^2 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (39*z^2)/a^4 + (37*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (36*z^4)/a^4 + (36*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 200] -> 
  4*a^2 - 11*a^4 + 15*a^6 - 8*a^8 + a^10 + 12*a^2*z^2 - 32*a^4*z^2 + 
   31*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 + 13*a^2*z^4 - 37*a^4*z^4 + 
   18*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 6*a^2*z^6 - 22*a^4*z^6 - a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 201] -> 
  2 - 5*a^2 + 7*a^4 - 4*a^6 + 2*a^8 - a^10 + 5*z^2 - 12*a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 4*z^4 - 11*a^2*z^4 + 
   3*a^4*z^4 - 4*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 5*a^2*z^6 - 
   2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 202] -> -2 + a^(-2) + 2*a^2 + a^4 - 2*a^6 + 2*a^8 - 
   a^10 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 
   a^10*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - 
   z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, Knot[15, Alternating, 203] -> 
  -4 + 2/a^6 - 6/a^4 + 8/a^2 + a^4 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (15*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 204] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 14*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   9*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 205] -> 5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 14*a^2*z^2 - 29*a^4*z^2 + 27*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 15*a^2*z^4 - 33*a^4*z^4 + 28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 206] -> 
  -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 28*z^2 - z^2/a^4 + (10*z^2)/a^2 + 
   30*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 33*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 31*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 207] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   10*z^2 + z^2/a^2 + 28*a^2*z^2 - 30*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 33*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 208] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 209] -> -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 13*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   9*z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 210] -> 2 - a^2 - 3*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 3*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 211] -> -8 + 4/a^2 + 7*a^2 - 2*a^4 - a^6 + a^8 - 
   19*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 212] -> 2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 
   8*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 213] -> 
  -10 - 4/a^4 + 11/a^2 + 5*a^2 - a^4 - 27*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (30*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (33*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 214] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 215] -> 
  2 - a^2 - 3*a^4 + 6*a^6 - 4*a^8 + a^10 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 - 
   7*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 216] -> 
  5 + 2/a^4 - 4/a^2 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 9*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 217] -> 
  1 + 2/a^10 - 10/a^8 + 16/a^6 - 10/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (20*z^2)/a^8 + (33*z^2)/a^6 - (19*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (27*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 218] -> 
  -4 + 15*a^2 - 18*a^4 + 11*a^6 - 3*a^8 - 15*z^2 + (2*z^2)/a^2 + 39*a^2*z^2 - 
   39*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 39*a^2*z^4 - 
   34*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 219] -> -1 + 2/a^4 - 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   4*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 220] -> 
  6 - 2/a^2 - 4*a^2 + 2*a^6 - a^8 + 12*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   5*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 9*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 221] -> 
  -4 + 15*a^2 - 18*a^4 + 11*a^6 - 3*a^8 - 15*z^2 + (2*z^2)/a^2 + 39*a^2*z^2 - 
   39*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 39*a^2*z^4 - 
   34*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 222] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 223] -> 
  -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 20*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (22*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 224] -> 
  a^2 - a^4 + 5*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + 3*a^2*z^2 - 8*a^4*z^2 + 
   21*a^6*z^2 - 22*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   16*a^4*z^4 + 27*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 225] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 + z^2 - 2*a^2*z^2 + 5*a^4*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 226] -> 
  -1 + 7*a^2 - 11*a^4 + 10*a^6 - 5*a^8 + a^10 - 4*z^2 + 18*a^2*z^2 - 
   28*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 5*z^4 + 21*a^2*z^4 - 
   30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 16*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 227] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - 14*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 228] -> 
  -1 + a^(-2) + 3*a^4 - 4*a^6 + 3*a^8 - a^10 - 3*z^2 + z^2/a^2 + 6*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + z^4/a^2 + 6*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + 
   z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 229] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 230] -> 2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 3*a^2*z^2 - 8*a^4*z^2 + 16*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 24*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 231] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 24*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 232] -> 
  1 - a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + z^2 - 2*a^2*z^2 + 6*a^6*z^2 - 
   8*a^8*z^2 + 4*a^10*z^2 + z^4 - 4*a^2*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 233] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 234] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 235] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 15*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 236] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 237] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 17*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (23*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 238] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 239] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 3*z^2 + 13*a^2*z^2 - 22*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 18*a^2*z^4 - 27*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 240] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - a^12 + 4*a^2*z^2 - 12*a^4*z^2 + 
   22*a^6*z^2 - 19*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 
   27*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 241] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^4 - a^6 - 
   8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 242] -> -14 - a^(-4) + 7/a^2 + 14*a^2 - 
   6*a^4 + a^6 - 36*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 32*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 37*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   30*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 243] -> -6 - 2/a^8 + 8/a^6 - 13/a^4 + 12/a^2 + 2*a^2 - 
   18*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (32*z^2)/a^4 + (32*z^2)/a^2 + 
   4*a^2*z^2 - 19*z^4 - z^4/a^8 + (10*z^4)/a^6 - (31*z^4)/a^4 + 
   (35*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 244] -> -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 - a^(-6) + 
   2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - (7*z^2)/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 - 
   z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 245] -> -14 + a^(-6) - 5/a^4 + 12/a^2 + 
   9*a^2 - 2*a^4 - 34*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (31*z^2)/a^2 + 
   17*a^2*z^2 - 3*a^4*z^2 - 32*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (34*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 246] -> 4*a^2 - 9*a^4 + 9*a^6 - 2*a^8 - a^10 + 
   10*a^2*z^2 - 23*a^4*z^2 + 16*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 
   10*a^2*z^4 - 27*a^4*z^4 + 6*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 
   5*a^2*z^6 - 17*a^4*z^6 - 4*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 247] -> -a^(-12) + 4/a^10 - 8/a^8 + 9/a^6 - 6/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (19*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 248] -> -a^(-12) + 4/a^10 - 8/a^8 + 9/a^6 - 6/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (19*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 249] -> a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 250] -> 
  6*a^2 - 11*a^4 + 9*a^6 - 4*a^8 + a^10 - 3*z^2 + 16*a^2*z^2 - 30*a^4*z^2 + 
   24*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 32*a^4*z^4 + 
   26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 251] -> 2 - 4*a^4 + 5*a^6 - 3*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 252] -> 8*a^2 - 17*a^4 + 16*a^6 - 8*a^8 + 2*a^10 - 
   4*z^2 + 20*a^2*z^2 - 40*a^4*z^2 + 34*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 20*a^2*z^4 - 38*a^4*z^4 + 31*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 253] -> 
  4 - 6*a^2 + 3*a^4 + a^6 - 2*a^8 + a^10 + 7*z^2 - (2*z^2)/a^2 - 12*a^2*z^2 + 
   3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 6*z^4 - z^4/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 254] -> 
  -2 + 2/a^2 + a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 255] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 256] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 257] -> 2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 3*a^2*z^2 - 8*a^4*z^2 + 16*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 24*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 258] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 24*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 259] -> 
  1 - a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + z^2 - 2*a^2*z^2 + 6*a^6*z^2 - 
   8*a^8*z^2 + 4*a^10*z^2 + z^4 - 4*a^2*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 260] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 26*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 26*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 261] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 16*z^2 + (3*z^2)/a^2 + 
   27*a^2*z^2 - 23*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 262] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 263] -> 
  -13 + 2/a^6 - 7/a^4 + 13/a^2 + 7*a^2 - a^4 - 33*z^2 + (3*z^2)/a^6 - 
   (18*z^2)/a^4 + (34*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 30*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (37*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 264] -> 
  -7 - a^(-8) + 6/a^6 - 13/a^4 + 14/a^2 + 2*a^2 - 19*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (31*z^2)/a^4 + (34*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + (36*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 265] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 266] -> -6 + 2/a^2 + 11*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 
   16*z^2 + (4*z^2)/a^2 + 29*a^2*z^2 - 32*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 
   18*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 33*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 267] -> 
  -4 + a^(-4) + 8*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 268] -> -3 + a^(-4) - a^(-2) + 9*a^2 - 8*a^4 + 
   4*a^6 - a^8 - 5*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 17*a^2*z^2 - 
   17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   14*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 269] -> 
  -2 + a^(-4) - a^(-2) + 8*a^2 - 9*a^4 + 5*a^6 - a^8 - 4*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 17*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 270] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (23*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 271] -> -6 + 2/a^2 + 8*a^2 - 4*a^4 + 2*a^6 - a^8 - 
   17*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 272] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 273] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 274] -> 
  -12 + 2/a^6 - 8/a^4 + 14/a^2 + 6*a^2 - a^4 - 33*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (32*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 35*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (31*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 275] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (22*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (24*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 276] -> 
  -2/a^12 + 8/a^10 - 14/a^8 + 12/a^6 - 5/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (17*z^2)/a^10 - (32*z^2)/a^8 + (31*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (32*z^4)/a^8 + (31*z^4)/a^6 - (18*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (17*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 277] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 278] -> -4 + a^(-4) + 8*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 279] -> 
  -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (11*z^2)/a^10 - (21*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (5*z^4)/a^10 - (23*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 280] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 281] -> 
  -6 + 2/a^2 + 8*a^2 - 4*a^4 + 2*a^6 - a^8 - 10*z^2 + z^2/a^4 + z^2/a^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 282] -> 
  -13 + a^(-6) - 5/a^4 + 11/a^2 + 10*a^2 - 3*a^4 - 35*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (27*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 38*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (27*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 283] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (22*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (24*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 284] -> 
  -13 + a^(-6) - 5/a^4 + 11/a^2 + 10*a^2 - 3*a^4 - 35*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (27*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 38*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (27*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 285] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 286] -> 
  -2/a^14 + 6/a^12 - 8/a^10 + 3/a^8 + 2/a^6 - (6*z^2)/a^14 + (22*z^2)/a^12 - 
   (25*z^2)/a^10 + (8*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (31*z^4)/a^12 - 
   (37*z^4)/a^10 + (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (31*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 287] -> -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (9*z^2)/a^12 - (3*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 288] -> 4*a^2 - 9*a^4 + 9*a^6 - 2*a^8 - a^10 + z^2 + 
   7*a^2*z^2 - 20*a^4*z^2 + 17*a^6*z^2 - a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 
   21*a^4*z^4 + 11*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   11*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 289] -> -2/a^12 + 6/a^10 - 9/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (11*z^2)/a^10 - (21*z^2)/a^8 + 
   (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 + (5*z^4)/a^10 - 
   (23*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 290] -> -14 + a^(-6) - 5/a^4 + 12/a^2 + 9*a^2 - 
   2*a^4 - 35*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (28*z^2)/a^2 + 21*a^2*z^2 - 
   5*a^4*z^2 - 37*z^4 + z^4/a^6 - (9*z^4)/a^4 + (28*z^4)/a^2 + 21*a^2*z^4 - 
   3*a^4*z^4 - 21*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 291] -> 
  -4 - 2/a^4 + 6/a^2 - a^2 + 3*a^4 - a^6 - 9*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 292] -> -3 + 12*a^2 - 15*a^4 + 10*a^6 - 3*a^8 - 
   11*z^2 + z^2/a^2 + 33*a^2*z^2 - 36*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 
   14*z^4 + (2*z^4)/a^2 + 36*a^2*z^4 - 34*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 20*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 293] -> 
  2*a^4 + 2*a^6 - 8*a^8 + 9*a^10 - 5*a^12 + a^14 - a^2*z^2 + 5*a^4*z^2 + 
   7*a^6*z^2 - 19*a^8*z^2 + 17*a^10*z^2 - 5*a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 8*a^6*z^4 - 18*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 294] -> 2/a^6 - 5/a^4 + 5/a^2 - 3*a^2 + 2*a^4 + 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 295] -> 6*a^2 - 13*a^4 + 14*a^6 - 8*a^8 + 
   2*a^10 - 2*z^2 + 15*a^2*z^2 - 34*a^4*z^2 + 33*a^6*z^2 - 16*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 16*a^2*z^4 - 36*a^4*z^4 + 31*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 19*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 296] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 20*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 297] -> 
  -14 - 5/a^4 + 14/a^2 + 8*a^2 - 2*a^4 - 33*z^2 + (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (35*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (36*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 298] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 8*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 299] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 20*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 300] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 8*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 301] -> 1 - 4/a^8 + 9/a^6 - 6/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - (12*z^2)/a^4 + z^4 - (6*z^4)/a^8 + 
   (16*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 302] -> 6*a^2 - 11*a^4 + 9*a^6 - 4*a^8 + a^10 - 
   5*z^2 + 20*a^2*z^2 - 32*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 27*a^2*z^4 - 35*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 303] -> 2 - 4*a^4 + 5*a^6 - 3*a^8 + a^10 + 
   4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   6*z^4 - (2*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 304] -> 
  a^2 - a^4 + 5*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + 3*a^2*z^2 - 8*a^4*z^2 + 
   21*a^6*z^2 - 22*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   16*a^4*z^4 + 27*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 305] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 + z^2 - 2*a^2*z^2 + 5*a^4*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 306] -> 
  -1 + 7*a^2 - 11*a^4 + 10*a^6 - 5*a^8 + a^10 - 4*z^2 + 18*a^2*z^2 - 
   28*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 5*z^4 + 21*a^2*z^4 - 
   30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 16*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 307] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - 14*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 308] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 26*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 26*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 309] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 16*z^2 + (3*z^2)/a^2 + 
   27*a^2*z^2 - 23*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 310] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 
   10/a^6 - 5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + 
   (24*z^2)/a^6 - (13*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (22*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 311] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 312] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + a^4 + a^6 - a^8 + 
   7*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   5*z^4 + z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 313] -> -7 + 2/a^2 + 11*a^2 - 8*a^4 + 5*a^6 - 2*a^8 - 
   17*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 314] -> 
  -3 + a^(-2) + 4*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 11*z^2 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   16*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 315] -> -3 + a^(-2) + 4*a^2 - a^4 + a^6 - 
   a^8 - 4*z^2 + z^2/a^4 + 5*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 316] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - (6*z^2)/a^14 + (19*z^2)/a^12 - 
   (19*z^2)/a^10 + (3*z^2)/a^8 + (10*z^2)/a^6 - (5*z^4)/a^14 + 
   (30*z^4)/a^12 - (33*z^4)/a^10 + z^4/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (30*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 317] -> -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (9*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - 
   (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 318] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 10/a^6 - 
   5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + 
   (24*z^2)/a^6 - (13*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (22*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 319] -> -7 + 2/a^2 + 11*a^2 - 8*a^4 + 5*a^6 - 2*a^8 - 
   17*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 320] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 321] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 322] -> 6*a^2 - 11*a^4 + 9*a^6 - 4*a^8 + 
   a^10 - 5*z^2 + 20*a^2*z^2 - 32*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - 7*z^4 + 27*a^2*z^4 - 35*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 18*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 323] -> 
  2 - 4*a^4 + 5*a^6 - 3*a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   9*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 324] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 
   4*a^4 + a^6 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 20*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 325] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 20*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 326] -> 
  -1 + 7*a^2 - 11*a^4 + 10*a^6 - 5*a^8 + a^10 - 4*z^2 + 18*a^2*z^2 - 
   28*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 5*z^4 + 21*a^2*z^4 - 
   30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 16*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 327] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - 14*z^2 + (3*z^2)/a^2 + 27*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 328] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 329] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 4*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 330] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 331] -> 
  -11 - a^(-4) + 6/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 32*z^2 - (4*z^2)/a^4 + 
   (17*z^2)/a^2 + 28*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 36*z^4 - (5*z^4)/a^4 + 
   (24*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (4*z^6)/a^4 + 
   (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 332] -> -6 - 2/a^8 + 7/a^6 - 11/a^4 + 11/a^2 + 2*a^2 - 
   14*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (29*z^2)/a^4 + (26*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (31*z^4)/a^4 + 
   (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 333] -> -4 + a^(-2) + 11*a^2 - 13*a^4 + 8*a^6 - 
   2*a^8 - 16*z^2 + (3*z^2)/a^2 + 32*a^2*z^2 - 30*a^4*z^2 + 12*a^6*z^2 - 
   a^8*z^2 - 23*z^4 + (5*z^4)/a^2 + 37*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 334] -> 
  1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 7*a^2*z^2 - 17*a^4*z^2 + 
   18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 25*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 335] -> 
  -10 - a^(-4) + 5/a^2 + 13*a^2 - 8*a^4 + 2*a^6 - 30*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 32*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 34*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 31*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 336] -> 
  -6 + 2/a^2 + 12*a^2 - 12*a^4 + 6*a^6 - a^8 - 17*z^2 + (3*z^2)/a^2 + 
   31*a^2*z^2 - 29*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   34*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 337] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + 
   a^6 + 6*z^2 + z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 338] -> -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 - z^2/a^10 - 
   (3*z^2)/a^8 + (20*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 339] -> 2 - a^(-10) + 2/a^8 - 3/a^6 + 5/a^4 - 4/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 340] -> -6 + 2/a^2 + 12*a^2 - 12*a^4 + 6*a^6 - a^8 - 
   20*z^2 + (4*z^2)/a^2 + 33*a^2*z^2 - 27*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   25*z^4 + (6*z^4)/a^2 + 37*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 341] -> -10 - a^(-4) + 5/a^2 + 13*a^2 - 8*a^4 + 
   2*a^6 - 32*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 30*a^2*z^2 - 12*a^4*z^2 + 
   a^6*z^2 - 37*z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 
   20*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 342] -> 
  -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 343] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 344] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 345] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   14*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 346] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 347] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 348] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 
   3/a^6 + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (11*z^2)/a^10 - (13*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (5*z^4)/a^10 - 
   (14*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 349] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 13*z^2 + 
   (5*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 14*z^4 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 350] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 3*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (7*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 351] -> 
  1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + a^4 + 2*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   z^4/a^6 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 352] -> -6 + 2/a^2 + 11*a^2 - 11*a^4 + 
   7*a^6 - 2*a^8 - 16*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 28*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 30*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 353] -> -4 + a^(-4) + 9*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   7*z^2 + z^2/a^4 - (3*z^2)/a^2 + 19*a^2*z^2 - 20*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 17*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 354] -> -11 + 2/a^6 - 7/a^4 + 12/a^2 + 6*a^2 - a^4 - 
   31*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (29*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 33*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 355] -> 
  -11 + 2/a^6 - 7/a^4 + 12/a^2 + 6*a^2 - a^4 - 30*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (30*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 30*z^4 + 
   (2*z^4)/a^6 - (16*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 356] -> 
  -4 - 2/a^8 + 8/a^6 - 13/a^4 + 11/a^2 + a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (31*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 357] -> 
  -12 - a^(-4) + 6/a^2 + 13*a^2 - 6*a^4 + a^6 - 32*z^2 - (2*z^2)/a^4 + 
   (14*z^2)/a^2 + 31*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 35*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 30*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 358] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 359] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 360] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   14*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 361] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - 3*z^2 + 16*a^2*z^2 - 29*a^4*z^2 + 
   25*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 6*z^4 + 24*a^2*z^4 - 36*a^4*z^4 + 
   21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 362] -> 
  -3 - 2/a^8 + 6/a^6 - 8/a^4 + 7/a^2 + a^2 - 12*z^2 - (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (25*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 363] -> -3 + a^(-2) + 8*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   16*z^2 + (3*z^2)/a^2 + 29*a^2*z^2 - 25*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   24*z^4 + (6*z^4)/a^2 + 36*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 364] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 365] -> 2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - 
   a^12 + 5*a^2*z^2 - 16*a^4*z^2 + 29*a^6*z^2 - 23*a^8*z^2 + 9*a^10*z^2 - 
   a^12*z^2 + 6*a^2*z^4 - 25*a^4*z^4 + 35*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 17*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 366] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 25*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (28*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (33*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 367] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 368] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 369] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 370] -> 4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 + z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 10*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 7*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 371] -> 
  -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 372] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 5*z^2 + 
   21*a^2*z^2 - 30*a^4*z^2 + 20*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 7*z^4 + 
   27*a^2*z^4 - 35*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 18*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 373] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 374] -> -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 + z^2 - 
   (6*z^2)/a^8 + (22*z^2)/a^6 - (19*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 375] -> -4 + a^(-2) + 11*a^2 - 13*a^4 + 
   8*a^6 - 2*a^8 - 13*z^2 + (2*z^2)/a^2 + 30*a^2*z^2 - 32*a^4*z^2 + 
   15*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (2*z^4)/a^2 + 34*a^2*z^4 - 31*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 20*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 376] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 377] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + z^2 + 2*a^2*z^2 - 
   10*a^4*z^2 + 20*a^6*z^2 - 15*a^8*z^2 + 5*a^10*z^2 + z^4 - a^2*z^4 - 
   11*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 
   7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 378] -> 
  -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 + z^2 - (5*z^2)/a^8 + (21*z^2)/a^6 - 
   (20*z^2)/a^4 + (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + 
   (19*z^4)/a^6 - (17*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 379] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^10 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 380] -> -6 + 2/a^2 + 12*a^2 - 12*a^4 + 6*a^6 - a^8 - 
   20*z^2 + (4*z^2)/a^2 + 33*a^2*z^2 - 27*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   25*z^4 + (6*z^4)/a^2 + 37*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 381] -> -10 - a^(-4) + 5/a^2 + 13*a^2 - 8*a^4 + 
   2*a^6 - 32*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 30*a^2*z^2 - 12*a^4*z^2 + 
   a^6*z^2 - 37*z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 
   20*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 382] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 383] -> -4 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + a^4 - 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 384] -> 
  -12 + a^(-6) - 6/a^4 + 13/a^2 + 6*a^2 - a^4 - 29*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (32*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 28*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 385] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 386] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 387] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + z^4/a^6 + z^4/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 388] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 389] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 390] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 391] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 392] -> 
  a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 2*z^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 393] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + 
   10*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 2*a^10*z^2 + 10*a^2*z^4 - 
   28*a^4*z^4 + 9*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 - 
   3*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 394] -> 
  2 - 4*a^2 + 5*a^4 - 3*a^6 + 2*a^8 - a^10 + 4*z^2 - 9*a^2*z^2 + 8*a^4*z^2 - 
   6*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 9*a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 395] -> 
  -13 + a^(-6) - 4/a^4 + 10/a^2 + 9*a^2 - 2*a^4 - 33*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (27*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 32*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (32*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 396] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 4*a^2 + 4*a^4 - a^6 + z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 397] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + z^2 + 
   8*a^2*z^2 - 23*a^4*z^2 + 20*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + z^4 + 
   4*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   11*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 398] -> -13 + a^(-6) - 4/a^4 + 10/a^2 + 9*a^2 - 
   2*a^4 - 34*z^2 + z^2/a^6 - (10*z^2)/a^4 + (26*z^2)/a^2 + 19*a^2*z^2 - 
   4*a^4*z^2 - 35*z^4 + z^4/a^6 - (8*z^4)/a^4 + (27*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 399] -> 
  1 - 3*a^4 + 9*a^6 - 10*a^8 + 5*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 
   9*a^4*z^2 + 23*a^6*z^2 - 18*a^8*z^2 + 5*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   11*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 
   7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 400] -> 
  -7 - 2/a^8 + 6/a^6 - 10/a^4 + 12/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (28*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (32*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 401] -> 4 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - 3*a^2 + 
   a^4 + 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 402] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 403] -> 
  1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 3*z^2 - z^2/a^2 - 9*a^4*z^2 + 
   11*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 9*a^4*z^4 + 6*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 404] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 405] -> 1 - a^2 + 5*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   2*z^2 - 4*a^2*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 406] -> 
  -6 - a^(-8) + 3/a^6 - 6/a^4 + 9/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (24*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (31*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 407] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 408] -> 
  1 - a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 409] -> -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (10*z^4)/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 410] -> -a^(-10) - a^(-8) + 6/a^6 - 6/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^10 + (12*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 411] -> 
  1 - 2/a^10 + 4/a^8 - 4/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (10*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 412] -> 
  1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 413] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 
   8*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 414] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 415] -> 
  -13 - 2/a^4 + 9/a^2 + 10*a^2 - 4*a^4 + a^6 - 32*z^2 - (5*z^2)/a^4 + 
   (20*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 32*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 416] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + 2*a^2 - 2*a^4 + a^6 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (9*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 417] -> -13 - 2/a^4 + 9/a^2 + 10*a^2 - 4*a^4 + a^6 - 
   33*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 23*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   35*z^4 - (6*z^4)/a^4 + (27*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 418] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   7*z^2 + z^2/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 25*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 419] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 
   8*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 420] -> 
  -12 - 2/a^4 + 8/a^2 + 11*a^2 - 5*a^4 + a^6 - 33*z^2 - (5*z^2)/a^4 + 
   (21*z^2)/a^2 + 25*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 36*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 421] -> -2 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 - a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 422] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) - z^2/a^14 - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (5*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 423] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 13*z^2 + 
   (5*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 14*z^4 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 424] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 425] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 4*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 426] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 427] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 428] -> 
  -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 429] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 430] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 7*z^2 + z^2/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 431] -> 
  1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 7*a^2*z^2 - 17*a^4*z^2 + 
   18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 25*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 432] -> 
  -12 - 2/a^4 + 8/a^2 + 11*a^2 - 5*a^4 + a^6 - 33*z^2 - (5*z^2)/a^4 + 
   (21*z^2)/a^2 + 25*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 36*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 433] -> -2 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 - a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 434] -> 
  -4 + a^(-2) + 11*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 13*z^2 + (2*z^2)/a^2 + 
   30*a^2*z^2 - 32*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (2*z^4)/a^2 + 
   34*a^2*z^4 - 31*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 435] -> -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 + 
   z^2 - (6*z^2)/a^8 + (22*z^2)/a^6 - (19*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   z^4/a^10 - (4*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 436] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   4*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 437] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 11*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 438] -> 
  a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (21*z^2)/a^6 - (23*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 439] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 440] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 28*z^2 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 31*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 441] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 442] -> 
  2 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 443] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - 
   a^10 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + 
   z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 444] -> 2 - a^(-10) + a^(-8) + 2/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 445] -> 
  -1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 + a^2 - 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 446] -> -1 + 8*a^2 - 13*a^4 + 11*a^6 - 5*a^8 + a^10 - 
   5*z^2 + 22*a^2*z^2 - 34*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 27*a^2*z^4 - 36*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 447] -> -5 + a^(-2) + 12*a^2 - 12*a^4 + 
   7*a^6 - 2*a^8 - 18*z^2 + (4*z^2)/a^2 + 33*a^2*z^2 - 27*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 448] -> 
  -2 + a^(-2) + 2*a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 - 6*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 449] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 - 
   z^4/a^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 450] -> 
  3*a^2 - 5*a^4 + 3*a^6 + 2*a^8 - 2*a^10 + 8*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 + 13*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 20*a^4*z^4 - 6*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 9*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 451] -> 
  1 - a^4 + 3*a^8 - 2*a^10 + 2*z^2 - 5*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 452] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 
   3*a^4 - 28*z^2 - (2*z^2)/a^4 + (14*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 - 31*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 17*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 453] -> 
  -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 2*a^4 - 20*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 454] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (4*z^2)/a^14 + (10*z^2)/a^12 - 
   (5*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (23*z^4)/a^12 - 
   (21*z^4)/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (25*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 455] -> -a^(-14) + 3/a^12 - 5/a^10 + 4/a^8 - 2/a^6 + 
   2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 + 
   z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 456] -> -7 + 2/a^6 - 6/a^4 + 9/a^2 + 
   3*a^2 - 26*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 31*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 457] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (24*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (27*z^4)/a^4 + (33*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 458] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 459] -> -3 + a^(-2) + 7*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 
   14*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   18*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 460] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 461] -> 
  -3 - a^(-8) + 5/a^6 - 9/a^4 + 8/a^2 + a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 462] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (23*z^2)/a^6 - (31*z^2)/a^4 + (18*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (25*z^4)/a^6 - (36*z^4)/a^4 + (18*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 463] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 464] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 20*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 465] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (21*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 466] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 14*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 467] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 12*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 468] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 469] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 2*z^2 + 
   11*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   17*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 470] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 
   12*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 471] -> -a^(-10) - a^(-8) + 6/a^6 - 6/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^10 + (14*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 472] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 473] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 474] -> -5 + 2/a^2 + 6*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   14*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 475] -> 
  -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 16*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (19*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 476] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (5*z^2)/a^10 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 477] -> 
  2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + 8*a^2*z^2 - 10*a^4*z^2 - 6*a^6*z^2 + 
   19*a^8*z^2 - 6*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 14*a^6*z^4 + 
   21*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 12*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 478] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 + z^4/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 479] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 480] -> 3*a^2 - 6*a^4 + 6*a^6 - a^8 - a^10 + 
   9*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 
   10*a^2*z^4 - 23*a^4*z^4 - 3*a^6*z^4 + 18*a^8*z^4 - 4*a^10*z^4 + 
   5*a^2*z^6 - 16*a^4*z^6 - 9*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 481] -> -2 + a^(-2) + 5*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 
   11*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 27*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 482] -> 
  -6 - a^(-8) + 6/a^6 - 12/a^4 + 12/a^2 + 2*a^2 - 18*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (28*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (27*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 483] -> 
  -10 + 2/a^6 - 8/a^4 + 13/a^2 + 5*a^2 - a^4 - 27*z^2 + (4*z^2)/a^6 - 
   (18*z^2)/a^4 + (31*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 28*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (33*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 484] -> 
  -6 - a^(-8) + 6/a^6 - 12/a^4 + 12/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (30*z^2)/a^4 + (28*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (32*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 485] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 486] -> -5 + 2/a^2 + 8*a^2 - 7*a^4 + 
   4*a^6 - a^8 - 10*z^2 + z^2/a^4 + 18*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 487] -> 1 - a^2 + a^4 + a^8 - a^10 + 3*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   4*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 488] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - 
   a^8 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 489] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 490] -> 1 + a^4 - 3*a^6 + 3*a^8 - a^10 - z^2 + 
   a^2*z^2 + 4*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 491] -> -3 + 11*a^2 - 13*a^4 + 9*a^6 - 3*a^8 - 
   10*z^2 + z^2/a^2 + 30*a^2*z^2 - 32*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 33*a^2*z^4 - 32*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 492] -> 
  a^4 + 4*a^6 - 9*a^8 + 9*a^10 - 5*a^12 + a^14 + 2*a^4*z^2 + 11*a^6*z^2 - 
   20*a^8*z^2 + 17*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + a^4*z^4 + 10*a^6*z^4 - 
   18*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 7*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 493] -> 
  6*a^2 - 12*a^4 + 12*a^6 - 7*a^8 + 2*a^10 - 2*z^2 + 14*a^2*z^2 - 
   31*a^4*z^2 + 29*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 15*a^2*z^4 - 
   33*a^4*z^4 + 29*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 
   18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 494] -> -13 - 4/a^4 + 12/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + z^2/a^6 - (11*z^2)/a^4 + (31*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 31*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (34*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 495] -> 3 - 4*a^2 + 2*a^4 + a^6 - 2*a^8 + a^10 + 
   5*z^2 - z^2/a^2 - 9*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 6*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 496] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 497] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 498] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 499] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 500] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 12*a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 501] -> 
  -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (13*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 502] -> 
  -a^(-10) - a^(-8) + 6/a^6 - 6/a^4 + 3/a^2 + z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 503] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 504] -> -a^(-12) + 3/a^10 - 5/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 505] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + 
   z^4 - (10*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 506] -> 
  -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 14*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   19*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 507] -> 4*a^2 - 8*a^4 + 7*a^6 - a^8 - a^10 + z^2 + 
   7*a^2*z^2 - 19*a^4*z^2 + 14*a^6*z^2 + a^8*z^2 - a^10*z^2 + z^4 + 
   3*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   10*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 508] -> -5 + 2/a^2 + 9*a^2 - 11*a^4 + 9*a^6 - 3*a^8 - 
   13*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 31*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 33*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 509] -> 
  -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - (3*z^2)/a^14 + 
   (10*z^2)/a^12 - (8*z^2)/a^10 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (13*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 510] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 511] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 512] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 2*z^2 + (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 513] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   30*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 514] -> 
  -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 16*z^2 + (4*z^2)/a^2 + 
   23*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 515] -> -4 + 2/a^2 + 5*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 22*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 516] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 517] -> -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   16*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 518] -> 
  -10 + 2/a^6 - 8/a^4 + 13/a^2 + 5*a^2 - a^4 - 29*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (29*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (28*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 519] -> 
  -1 + a^(-8) - 3/a^6 + 3/a^4 + a^2 - 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 520] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 3*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 
   a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 521] -> -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 522] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 523] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   2*z^2 + (2*z^2)/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^6 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 524] -> -5 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + a^4 - 
   6*z^2 - z^2/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 525] -> 
  2*a^2 - 5*a^4 + 11*a^6 - 12*a^8 + 7*a^10 - 2*a^12 + 5*a^2*z^2 - 
   17*a^4*z^2 + 33*a^6*z^2 - 27*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   6*a^2*z^4 - 25*a^4*z^4 + 36*a^6*z^4 - 22*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 17*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 526] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 2*z^2 - 6*a^2*z^2 + 
   8*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 527] -> 
  -5 + 2/a^2 + 9*a^2 - 9*a^4 + 5*a^6 - a^8 - 13*z^2 + (2*z^2)/a^2 + 
   23*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   26*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 528] -> -9 - 2/a^4 + 7/a^2 + 8*a^2 - 
   4*a^4 + a^6 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 20*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 529] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 530] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 
   12*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 531] -> -a^(-10) - a^(-8) + 6/a^6 - 6/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^10 + (14*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 532] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 533] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 534] -> 1 - a^(-12) + 4/a^10 - 8/a^8 + 9/a^6 - 5/a^4 + 
   a^(-2) + 2*z^2 + (6*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - 
   (11*z^2)/a^4 + z^4 + z^4/a^10 - (12*z^4)/a^8 + (16*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - (2*z^6)/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 535] -> 1 - a^(-12) + 2/a^10 - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (3*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 536] -> -5 + 2/a^2 + 6*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   14*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 537] -> 
  -8 - a^(-8) + 5/a^6 - 10/a^4 + 12/a^2 + 3*a^2 - 21*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (26*z^2)/a^4 + (31*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (26*z^4)/a^4 + (35*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 538] -> 
  1 + a^2 - 4*a^4 + 4*a^6 - a^10 + 2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 539] -> 
  -6 - a^(-8) + 6/a^6 - 12/a^4 + 12/a^2 + 2*a^2 - 18*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (28*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (27*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 540] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 541] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 542] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 20*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 543] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   24*a^2*z^2 - 19*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 544] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 545] -> 
  -6 - a^(-8) + 3/a^6 - 6/a^4 + 9/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 546] -> 3 - a^(-8) + 2/a^6 - 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 547] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 548] -> -1 + 8*a^2 - 13*a^4 + 11*a^6 - 5*a^8 + a^10 - 
   5*z^2 + 22*a^2*z^2 - 34*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 27*a^2*z^4 - 36*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 549] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 
   z^2 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 550] -> -3 - a^(-8) + 2/a^6 - 3/a^4 + 5/a^2 + a^2 - 
   4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 551] -> -8 - a^(-4) + 5/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 552] -> 
  -9 - a^(-4) + 6/a^2 + 7*a^2 - 3*a^4 + a^6 - 25*z^2 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 553] -> 
  -1 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 554] -> 2 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*a^2 + 
   a^4 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 555] -> 1 - 2*a^2 + 3*a^4 - a^8 + z^2 + 
   z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 556] -> 6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 557] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (6*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 558] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 559] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 560] -> 1 + a^2 - 4*a^4 + 4*a^6 - a^10 + 
   2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 561] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 562] -> 
  -6 + a^(-8) - a^(-6) - 2/a^4 + 6/a^2 + 3*a^2 - 10*z^2 - (3*z^2)/a^6 - 
   z^2/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 563] -> 
  -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + a^8 - 12*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 564] -> 
  -8 - a^(-4) + 5/a^2 + 8*a^2 - 4*a^4 + a^6 - 25*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 565] -> 
  a^2 - 2*a^4 + 7*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 
   25*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   19*a^4*z^4 + 29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   13*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 566] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 
   2*z^2 - z^2/a^10 + (11*z^2)/a^6 - (9*z^2)/a^4 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 567] -> -4 + a^(-2) + 9*a^2 - 8*a^4 + 4*a^6 - a^8 - 
   18*z^2 + (4*z^2)/a^2 + 30*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   26*z^4 + (7*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 568] -> 4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - 3*z^2 + 
   15*a^2*z^2 - 26*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 5*z^4 + 
   20*a^2*z^4 - 30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 569] -> -5 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + a^4 - 
   6*z^2 - z^2/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 570] -> 
  2*a^2 - 5*a^4 + 11*a^6 - 12*a^8 + 7*a^10 - 2*a^12 + 5*a^2*z^2 - 
   17*a^4*z^2 + 33*a^6*z^2 - 27*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   6*a^2*z^4 - 25*a^4*z^4 + 36*a^6*z^4 - 22*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 17*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 571] -> 
  -1 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 572] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 6*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 573] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 - 
   2*z^2 + z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (23*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (20*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 574] -> 
  a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 - (6*z^2)/a^8 + (17*z^2)/a^6 - 
   (20*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (17*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 575] -> 3 + a^(-6) - 3/a^4 + 2/a^2 - 4*a^2 + 3*a^4 - 
   a^6 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 576] -> 
  -a^(-14) + 4/a^12 - 8/a^10 + 7/a^8 - 3/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (15*z^2)/a^10 + (12*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 577] -> -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + 2/a^6 - 
   a^(-4) + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (5*z^2)/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (3*z^4)/a^8 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 578] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 579] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - 2*a^2 + 3*a^4 - a^6 - 6*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 580] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 12*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 581] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 3*z^2 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 582] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 583] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 
   z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 584] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 585] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 9*a^4*z^2 + 
   16*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 
   20*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 586] -> 2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 20*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 26*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 587] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 15*a^2*z^2 - 21*a^4*z^2 + 
   16*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 5*z^4 + 19*a^2*z^4 - 27*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 588] -> 
  -3 - a^(-8) + 2/a^6 - 3/a^4 + 5/a^2 + a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 589] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 590] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + z^2 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 591] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 - 3*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 592] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 20*z^2 + 
   (6*z^2)/a^2 + 23*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 13*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + z^6 - (3*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 593] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   3*a^4 + a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 594] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (26*z^2)/a^6 - (28*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - 
   (34*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 595] -> -2/a^14 + 5/a^12 - 6/a^10 + 
   2/a^8 + 2/a^6 - (5*z^2)/a^14 + (19*z^2)/a^12 - (21*z^2)/a^10 + 
   (7*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (28*z^4)/a^12 - (35*z^4)/a^10 + 
   (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (31*z^6)/a^10 - 
   (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 596] -> 
  -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - z^2/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 597] -> 5*a^4 - 12*a^6 + 14*a^8 - 6*a^10 + 
   23*a^4*z^2 - 58*a^6*z^2 + 59*a^8*z^2 - 17*a^10*z^2 + 34*a^4*z^4 - 
   102*a^6*z^4 + 84*a^8*z^4 - 17*a^10*z^4 + 24*a^4*z^6 - 88*a^6*z^6 + 
   55*a^8*z^6 - 7*a^10*z^6 + 8*a^4*z^8 - 41*a^6*z^8 + 17*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 598] -> a^2 + a^4 - 5*a^6 + 8*a^8 - 4*a^10 + 
   7*a^2*z^2 - 5*a^4*z^2 - 14*a^6*z^2 + 26*a^8*z^2 - 8*a^10*z^2 + 9*a^2*z^4 - 
   15*a^4*z^4 - 20*a^6*z^4 + 27*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   14*a^4*z^6 - 15*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 599] -> a^2 + 2*a^4 - 8*a^6 + 11*a^8 - 5*a^10 + 
   6*a^2*z^2 - a^4*z^2 - 20*a^6*z^2 + 29*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 
   12*a^4*z^4 - 23*a^6*z^4 + 27*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   13*a^4*z^6 - 15*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 600] -> 2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + 2*z^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 
   12*a^4*z^4 - 2*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 601] -> -a^(-12) + 4/a^10 - 8/a^8 + 8/a^6 - 4/a^4 + 
   2/a^2 - (2*z^2)/a^12 + (12*z^2)/a^10 - (24*z^2)/a^8 + (26*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (28*z^4)/a^8 + 
   (29*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (17*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 602] -> 
  -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 28*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   27*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 33*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 603] -> 2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 
   2*a^10 + 9*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 
   12*a^2*z^4 - 28*a^4*z^4 + a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 6*a^2*z^6 - 
   20*a^4*z^6 - 7*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 604] -> 3*a^2 - 6*a^4 + 6*a^6 - a^8 - a^10 + 2*z^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   2*a^2*z^4 - 14*a^4*z^4 + 5*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 8*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 605] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   3*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 606] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 607] -> 1 - 2*a^2 + 4*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   4*z^2 - 7*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 
   4*z^4 - 9*a^2*z^4 - 6*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 5*a^2*z^6 - 
   3*a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 608] -> 1 - a^2 + a^4 + a^8 - a^10 + z^2 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 - 
   3*a^4*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 609] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 10*z^2 - 
   (5*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^6 - 
   z^4/a^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 610] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - z^2 + 12*a^2*z^2 - 27*a^4*z^2 + 
   27*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 33*a^4*z^4 + 
   28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 611] -> 1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   2*z^2 - a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 612] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 613] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 2*a^4 + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 614] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 615] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 10*z^2 + 
   z^2/a^2 + 27*a^2*z^2 - 27*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 32*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 616] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 617] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 13*a^2*z^2 - 27*a^4*z^2 + 25*a^6*z^2 - 13*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 15*a^2*z^4 - 32*a^4*z^4 + 28*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 618] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 8*z^2 + 
   26*a^2*z^2 - 30*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   33*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 619] -> 2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + 
   a^10 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 620] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 5*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 621] -> a^2 - a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 
   3*a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 - 20*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 16*a^4*z^4 + 26*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 622] -> 
  -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 11*z^2 + (2*z^2)/a^2 + 
   20*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 623] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 624] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (21*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 625] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 27*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 626] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 14*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 627] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   13*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   14*a^2*z^4 - 21*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 628] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 
   12*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 629] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 12*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 630] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 10*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (16*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 631] -> -2/a^14 + 5/a^12 - 6/a^10 + 2/a^8 + 2/a^6 - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (13*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (15*z^4)/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 632] -> -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 4/a^6 - 
   z^2/a^14 + (5*z^2)/a^12 - (6*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 633] -> -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 4/a^4 + 
   3/a^2 + z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (7*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 634] -> 
  2*a^2 - a^4 - 4*a^6 + 8*a^8 - 4*a^10 + 7*a^2*z^2 - 6*a^4*z^2 - 12*a^6*z^2 + 
   22*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 13*a^4*z^4 - 17*a^6*z^4 + 
   21*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 12*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 635] -> 
  3*a^2 - 5*a^4 + 3*a^6 + 2*a^8 - 2*a^10 + 2*z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 636] -> 
  2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + 8*a^2*z^2 - 10*a^4*z^2 - 6*a^6*z^2 + 
   19*a^8*z^2 - 6*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 14*a^6*z^4 + 
   21*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 12*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 637] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 24*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (26*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (28*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 638] -> -a^(-12) + 4/a^10 - 8/a^8 + 8/a^6 - 
   4/a^4 + 2/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + 
   (17*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (13*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 639] -> -4 + a^(-4) + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 640] -> 
  -4 - 2/a^8 + 8/a^6 - 13/a^4 + 11/a^2 + a^2 - 11*z^2 - (3*z^2)/a^8 + 
   (18*z^2)/a^6 - (33*z^2)/a^4 + (27*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (35*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 641] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + z^2 + 
   7*a^2*z^2 - 22*a^4*z^2 + 21*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 2*z^4 + 
   3*a^2*z^4 - 23*a^4*z^4 + 14*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 12*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 642] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 
   4/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - (20*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (18*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 643] -> 
  -4 + a^(-8) - 2/a^6 + 4/a^2 + 2*a^2 - 8*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 644] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 645] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 646] -> -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + a^8 - 
   16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 647] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 648] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 649] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 650] -> 
  -2 + 11*a^2 - 17*a^4 + 14*a^6 - 6*a^8 + a^10 - 7*z^2 + 29*a^2*z^2 - 
   42*a^4*z^2 + 29*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 8*z^4 + 32*a^2*z^4 - 
   41*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 19*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 651] -> -8 + 2/a^2 + 16*a^2 - 15*a^4 + 8*a^6 - 2*a^8 - 
   25*z^2 + (6*z^2)/a^2 + 41*a^2*z^2 - 32*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 
   30*z^4 + (7*z^4)/a^2 + 41*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 652] -> -5 + 2/a^2 + 6*a^2 - a^4 - 3*a^6 + 3*a^8 - 
   a^10 - 10*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 
   3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 653] -> -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   23*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 654] -> 
  -9 + a^(-6) - 5/a^4 + 10/a^2 + 5*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (24*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 655] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + z^2/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 656] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 
   20*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 
   26*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 657] -> 2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + z^2 + a^2*z^2 - 6*a^4*z^2 + 14*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 + 
   z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 658] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 659] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   5/a^6 - 3/a^4 + 2/a^2 + z^2 + (5*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 660] -> -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - 
   (3*z^2)/a^14 + (10*z^2)/a^12 - (8*z^2)/a^10 + (7*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (13*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 661] -> -2/a^12 + 5/a^10 - 4/a^8 + a^(-4) + a^(-2) - 
   z^2/a^12 + (9*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + (2*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 662] -> -a^(-12) + 2/a^10 - a^(-8) - 
   a^(-4) + 2/a^2 + z^2 + (3*z^2)/a^10 - z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 663] -> 
  3*a^2 - 4*a^4 + 5*a^8 - 3*a^10 + 7*a^2*z^2 - 8*a^4*z^2 - 8*a^6*z^2 + 
   18*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 15*a^6*z^4 + 
   19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 11*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 664] -> 
  1 - a^4 + 3*a^8 - 2*a^10 + 2*z^2 + a^2*z^2 - 6*a^4*z^2 + 8*a^8*z^2 - 
   2*a^10*z^2 + z^4 - a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 665] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 666] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - 
   z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 667] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 668] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 669] -> 
  -10 + 2/a^6 - 8/a^4 + 13/a^2 + 5*a^2 - a^4 - 29*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (29*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (28*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 670] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (21*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 671] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 672] -> 
  1 + a^(-10) - 6/a^8 + 11/a^6 - 8/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (23*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + z^4 - (8*z^4)/a^8 + 
   (19*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 673] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 674] -> 
  -2 + 10*a^2 - 14*a^4 + 10*a^6 - 3*a^8 - 8*z^2 + 29*a^2*z^2 - 35*a^4*z^2 + 
   19*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + z^4/a^2 + 34*a^2*z^4 - 34*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 20*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 675] -> 1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + 
   a^8 - (2*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 676] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   10*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 677] -> -6 + 3/a^2 + 6*a^2 - 2*a^4 - 
   a^6 + a^8 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 678] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 679] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 680] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 
   23*a^6*z^2 - 22*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   17*a^4*z^4 + 27*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 681] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - a^8 + 
   2*a^10 - a^12 + 2*z^2 - 5*a^2*z^2 + 7*a^4*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + 
   z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 682] -> 
  5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 - 4*z^2 + 16*a^2*z^2 - 26*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 5*z^4 + 21*a^2*z^4 - 29*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 683] -> 
  -4 + a^(-2) + 9*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 11*z^2 + (2*z^2)/a^2 + 
   23*a^2*z^2 - 22*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 684] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 685] -> -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   22*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 25*z^4 - z^4/a^4 + (11*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 686] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 15*a^2*z^2 - 21*a^4*z^2 + 
   16*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 5*z^4 + 19*a^2*z^4 - 27*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 687] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 9*a^4*z^2 + 
   16*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 
   20*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 688] -> -5 + a^(-2) + 12*a^2 - 12*a^4 + 7*a^6 - 
   2*a^8 - 18*z^2 + (4*z^2)/a^2 + 33*a^2*z^2 - 27*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 689] -> 
  -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + a^8 - 12*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 690] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - 3*z^2 + 15*a^2*z^2 - 26*a^4*z^2 + 
   22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 5*z^4 + 20*a^2*z^4 - 30*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 691] -> 
  -4 + a^(-2) + 9*a^2 - 8*a^4 + 4*a^6 - a^8 - 18*z^2 + (4*z^2)/a^2 + 
   30*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 26*z^4 + (7*z^4)/a^2 + 
   35*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 692] -> a^2 - 2*a^4 + 7*a^6 - 9*a^8 + 6*a^10 - 
   2*a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 25*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 19*a^4*z^4 + 29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 693] -> 
  1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 - z^2/a^10 + (11*z^2)/a^6 - 
   (9*z^2)/a^4 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 694] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 695] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 - 8*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 696] -> 
  2 - a^(-10) + a^(-8) + 2/a^4 - 3/a^2 + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 697] -> -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 698] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 699] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 3*z^2 - 2*a^2*z^2 - 9*a^4*z^2 + 20*a^6*z^2 - 
   7*a^8*z^2 + 7*z^4 - 10*a^2*z^4 - 15*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 
   5*z^6 - 12*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 700] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 9*a^2*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 701] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 702] -> a^2 + a^6 - a^8 - 3*z^2 + (2*z^2)/a^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 703] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 704] -> -11 + 4/a^2 + 16*a^2 - 13*a^4 + 6*a^6 - a^8 - 
   25*z^2 + (5*z^2)/a^2 + 39*a^2*z^2 - 33*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 
   21*z^4 + (3*z^4)/a^2 + 40*a^2*z^4 - 31*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 21*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 705] -> 
  -4 + 2/a^6 - 6/a^4 + 8/a^2 - a^2 + 3*a^4 - a^6 - 9*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 706] -> -17 - 2/a^4 + 10/a^2 + 15*a^2 - 6*a^4 + a^6 - 
   42*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 34*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 41*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 31*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 707] -> 1 - a^(-12) + 2/a^10 - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (3*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 708] -> -10 - a^(-4) + 6/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - z^4/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 709] -> 
  3*a^2 - 4*a^4 + 5*a^8 - 3*a^10 + 7*a^2*z^2 - 8*a^4*z^2 - 8*a^6*z^2 + 
   18*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 15*a^6*z^4 + 
   19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 11*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 710] -> 
  1 - a^4 + 3*a^8 - 2*a^10 + 2*z^2 + a^2*z^2 - 6*a^4*z^2 + 8*a^8*z^2 - 
   2*a^10*z^2 + z^4 - a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 711] -> 
  -4 + 2/a^2 + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 12*z^2 + (3*z^2)/a^2 + 
   17*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   23*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 712] -> -15 - 2/a^4 + 9/a^2 + 15*a^2 - 
   8*a^4 + 2*a^6 - 38*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 35*a^2*z^2 - 
   17*a^4*z^2 + 3*a^6*z^2 - 38*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 
   33*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 713] -> -a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 - 3*a^2 + 
   2*a^4 + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 714] -> 
  -16 + a^(-6) - 7/a^4 + 16/a^2 + 9*a^2 - 2*a^4 - 37*z^2 + (3*z^2)/a^6 - 
   (18*z^2)/a^4 + (39*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (39*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 715] -> 
  -12 - 2/a^4 + 8/a^2 + 11*a^2 - 5*a^4 + a^6 - 29*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 716] -> 
  -9 - a^(-4) + 6/a^2 + 7*a^2 - 3*a^4 + a^6 - 25*z^2 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 717] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 718] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 719] -> 
  4*a^2 - 8*a^4 + 7*a^6 - a^8 - a^10 + 9*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 + 8*a^2*z^4 - 21*a^4*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 720] -> -8 - a^(-8) + 5/a^6 - 10/a^4 + 12/a^2 + 
   3*a^2 - 21*z^2 - z^2/a^8 + (10*z^2)/a^6 - (26*z^2)/a^4 + (31*z^2)/a^2 + 
   5*a^2*z^2 - 21*z^4 - z^4/a^8 + (7*z^4)/a^6 - (26*z^4)/a^4 + (35*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 721] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - z^4/a^10 - (17*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 722] -> -a^(-14) + 3/a^12 - 5/a^10 + 3/a^8 + a^(-4) - 
   (3*z^2)/a^14 + (10*z^2)/a^12 - (10*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (12*z^4)/a^10 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 723] -> 2*a^2 - a^4 - 4*a^6 + 8*a^8 - 4*a^10 + 
   7*a^2*z^2 - 6*a^4*z^2 - 12*a^6*z^2 + 22*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 
   13*a^4*z^4 - 17*a^6*z^4 + 21*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 12*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 724] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 
   3/a^4 - 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 725] -> -3 + a^(-2) + 5*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   11*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 726] -> 
  -13 - a^(-4) + 7/a^2 + 12*a^2 - 5*a^4 + a^6 - 31*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 24*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 727] -> 
  3*a^2 - 5*a^4 + 3*a^6 + 2*a^8 - 2*a^10 + 2*z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 728] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (21*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 729] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 730] -> 
  1 - a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 3/a^4 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (19*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 731] -> -7 + 2/a^2 + 12*a^2 - 10*a^4 + 
   6*a^6 - 2*a^8 - 18*z^2 + (5*z^2)/a^2 + 28*a^2*z^2 - 25*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 28*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 732] -> 4 + a^(-4) - 3/a^2 - a^2 - a^4 + 2*a^6 - a^8 + 
   6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 733] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + z^2 + 
   7*a^2*z^2 - 22*a^4*z^2 + 21*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 2*z^4 + 
   3*a^2*z^4 - 23*a^4*z^4 + 14*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 12*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 734] -> 1 + a^(-6) - a^(-4) - a^4 + a^6 + 
   z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 735] -> 2 - a^(-4) + 2/a^2 - 5*a^2 + 
   4*a^4 - a^6 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 11*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 736] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 737] -> -3 + a^(-2) + 8*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   11*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 24*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 738] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 739] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   24*a^2*z^2 - 19*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 740] -> -4 + a^(-2) + 9*a^2 - 9*a^4 + 
   6*a^6 - 2*a^8 - 11*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 22*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 23*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 741] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 742] -> 
  -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 743] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + 
   a^4 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 744] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 6*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 745] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 4*z^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   (10*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 746] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 747] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 
   4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 748] -> 
  -2/a^14 + 6/a^12 - 9/a^10 + 6/a^8 - a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (18*z^2)/a^10 + (11*z^2)/a^8 + (4*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (16*z^4)/a^10 + z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (9*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 749] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 750] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 751] -> -6 + 2/a^2 + 9*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   18*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 752] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 753] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 4*a^4 + 3*a^6 - 
   a^8 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 754] -> 
  2 - 3*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - a^10 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 
   7*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 
   z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 755] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^2 - a^4 + a^6 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 756] -> -2 - 2/a^4 + 5/a^2 - 2*a^2 + 
   3*a^4 - a^6 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 757] -> 
  -1 + a^(-2) + a^2 + a^4 - 3*a^6 + 3*a^8 - a^10 - 4*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 758] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + z^2 - a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 759] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 760] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 + a^2*z^2 - 6*a^4*z^2 + 
   14*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 + z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 
   14*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 761] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   3*a^4 + a^6 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 762] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 763] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 764] -> 
  -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 20*z^2 + (6*z^2)/a^2 + 23*a^2*z^2 - 
   14*a^4*z^2 + 4*a^6*z^2 - 13*z^4 + z^4/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + z^6 - (3*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 765] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 766] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 25*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   28*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 767] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 768] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 10*z^2 - 
   (5*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^6 - 
   z^4/a^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 769] -> 
  -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 27*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   25*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 31*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 770] -> -1 + 2/a^4 - 2/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 771] -> 
  4*a^2 - 9*a^4 + 13*a^6 - 11*a^8 + 5*a^10 - a^12 + 7*a^2*z^2 - 22*a^4*z^2 + 
   32*a^6*z^2 - 24*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 24*a^4*z^4 + 
   32*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 14*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 772] -> -3 + a^(-2) + 8*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   11*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 24*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 773] -> -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 
   16*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   19*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 774] -> -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 
   14*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 775] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 776] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 777] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - z^4/a^10 - (17*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 778] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 779] -> 
  -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^2 + a^4 + 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 780] -> 
  -3 + a^(-2) + 8*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 9*z^2 + z^2/a^2 + 
   22*a^2*z^2 - 25*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + z^4/a^2 + 
   26*a^2*z^4 - 25*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 781] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 782] -> 
  1 - 2*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 
   16*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 + z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 783] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 784] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 8*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 785] -> 
  1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 2*z^2 - (4*z^2)/a^8 + (15*z^2)/a^6 - 
   (11*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 786] -> -12 - 2/a^4 + 8/a^2 + 11*a^2 - 5*a^4 + a^6 - 
   29*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 28*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 787] -> 
  -12 + 4/a^2 + 17*a^2 - 12*a^4 + 5*a^6 - a^8 - 27*z^2 + (6*z^2)/a^2 + 
   40*a^2*z^2 - 30*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 23*z^4 + (4*z^4)/a^2 + 
   39*a^2*z^4 - 29*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 788] -> 2 + 2/a^4 - 4/a^2 + 4*a^2 - 
   6*a^4 + 4*a^6 - a^8 + 6*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 5*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 789] -> 
  -2/a^12 + 5/a^10 - 4/a^8 + a^(-4) + a^(-2) - z^2/a^12 + (9*z^2)/a^10 - 
   (10*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 790] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 + 
   z^2 + (3*z^2)/a^10 - z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 791] -> -16 - 2/a^4 + 10/a^2 + 14*a^2 - 
   7*a^4 + 2*a^6 - 39*z^2 - (5*z^2)/a^4 + (22*z^2)/a^2 + 32*a^2*z^2 - 
   16*a^4*z^2 + 3*a^6*z^2 - 37*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 
   31*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 792] -> -2 - a^(-6) + 4/a^4 - 3/a^2 + 6*a^2 - 5*a^4 + 
   2*a^6 - 4*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 793] -> 
  -2 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 794] -> 3*a^2 - 8*a^4 + 15*a^6 - 15*a^8 + 8*a^10 - 
   2*a^12 + 7*a^2*z^2 - 24*a^4*z^2 + 41*a^6*z^2 - 32*a^8*z^2 + 12*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 30*a^4*z^4 + 41*a^6*z^4 - 24*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 20*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 795] -> 
  1 - a^2 + a^4 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 2*z^2 - 5*a^2*z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 796] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 8*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 797] -> 
  -7 + 2/a^2 + 13*a^2 - 11*a^4 + 5*a^6 - a^8 - 22*z^2 + (5*z^2)/a^2 + 
   34*a^2*z^2 - 24*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 27*z^4 + (7*z^4)/a^2 + 
   36*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 798] -> -12 - a^(-4) + 7/a^2 + 11*a^2 - 6*a^4 + 
   2*a^6 - 29*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 799] -> 
  2*a^2 - 5*a^4 + 11*a^6 - 12*a^8 + 7*a^10 - 2*a^12 + 5*a^2*z^2 - 
   15*a^4*z^2 + 29*a^6*z^2 - 25*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   4*a^2*z^4 - 20*a^4*z^4 + 30*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 800] -> 
  1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 8*a^2*z^2 - 18*a^4*z^2 + 
   17*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 801] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 802] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 803] -> 
  -10 + 3/a^2 + 16*a^2 - 13*a^4 + 7*a^6 - 2*a^8 - 24*z^2 + (6*z^2)/a^2 + 
   37*a^2*z^2 - 31*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   36*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 804] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 
   4*a^4 + 3*a^6 - a^8 + 3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 805] -> 
  -11 + 2/a^6 - 7/a^4 + 12/a^2 + 6*a^2 - a^4 - 30*z^2 + (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (28*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (28*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 806] -> 
  1 - a^(-12) + 4/a^10 - 8/a^8 + 9/a^6 - 5/a^4 + a^(-2) + 2*z^2 + 
   (6*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - (11*z^2)/a^4 + z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (16*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 807] -> 
  -6 + 2/a^2 + 9*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 14*z^2 + (4*z^2)/a^2 + 
   20*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 808] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 
   2*a^6 - 14*z^2 - z^2/a^4 + (3*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 809] -> 
  4*a^2 - 8*a^4 + 7*a^6 - a^8 - a^10 + z^2 + 7*a^2*z^2 - 19*a^4*z^2 + 
   14*a^6*z^2 + a^8*z^2 - a^10*z^2 + z^4 + 3*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 10*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 810] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (7*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 811] -> -5 + 2/a^2 + 9*a^2 - 11*a^4 + 9*a^6 - 3*a^8 - 
   13*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 31*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 33*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 812] -> 
  -4 + a^(-4) + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 813] -> -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 814] -> 
  -2 + a^(-4) - a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 15*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 815] -> -4 - 2/a^8 + 8/a^6 - 13/a^4 + 11/a^2 + a^2 - 
   11*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (33*z^2)/a^4 + (27*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - (35*z^4)/a^4 + 
   (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 816] -> -12 + a^(-6) - 5/a^4 + 11/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (26*z^2)/a^2 + 19*a^2*z^2 - 
   4*a^4*z^2 - 35*z^4 + z^4/a^6 - (9*z^4)/a^4 + (26*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 817] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 818] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 819] -> 
  -1 + 2/a^2 - 3*a^2 + 5*a^4 - 3*a^6 + a^8 - 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 820] -> -1 + a^(-4) + 2*a^4 - 2*a^6 + a^8 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 2*a^4*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 821] -> -6 - 3/a^4 + 8/a^2 + a^2 + 2*a^4 - a^6 - 
   11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 822] -> 8*a^6 - 16*a^8 + 16*a^10 - 
   9*a^12 + 2*a^14 - 2*a^4*z^2 + 25*a^6*z^2 - 41*a^8*z^2 + 35*a^10*z^2 - 
   13*a^12*z^2 + a^14*z^2 - 5*a^4*z^4 + 29*a^6*z^4 - 42*a^8*z^4 + 
   26*a^10*z^4 - 4*a^12*z^4 - 4*a^4*z^6 + 17*a^6*z^6 - 21*a^8*z^6 + 
   6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 823] -> 3*a^4 - 2*a^6 - 2*a^8 + 5*a^10 - 4*a^12 + 
   a^14 - a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 5*a^8*z^2 + 10*a^10*z^2 - 
   4*a^12*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 6*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 824] -> 1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + 
   a^8 - (2*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 825] -> a^4 + 4*a^6 - 9*a^8 + 9*a^10 - 
   5*a^12 + a^14 + a^4*z^2 + 12*a^6*z^2 - 19*a^8*z^2 + 16*a^10*z^2 - 
   5*a^12*z^2 + 10*a^6*z^4 - 16*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 4*a^6*z^6 - 
   7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 826] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 827] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 16*z^2 + (4*z^2)/a^2 + 
   24*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 828] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   8*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 
   16*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 829] -> 2*a^2 - 4*a^4 + 8*a^6 - 9*a^8 + 6*a^10 - 
   2*a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 23*a^6*z^2 - 22*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 3*a^2*z^4 - 17*a^4*z^4 + 27*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 830] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 2*z^2 - 5*a^2*z^2 + 
   7*a^4*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 831] -> 1 - 2*a^4 + 6*a^6 - 7*a^8 + 
   4*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 16*a^6*z^2 - 14*a^8*z^2 + 
   5*a^10*z^2 + z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 832] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 833] -> 
  -3 + a^(-2) + 8*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 9*z^2 + z^2/a^2 + 
   22*a^2*z^2 - 25*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + z^4/a^2 + 
   26*a^2*z^4 - 25*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 834] -> -5 + 2/a^2 + 9*a^2 - 9*a^4 + 
   5*a^6 - a^8 - 13*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 22*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 22*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 835] -> -9 - 2/a^4 + 7/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 836] -> 
  -6 - a^(-8) + 3/a^6 - 6/a^4 + 9/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 837] -> -11 + 2/a^6 - 7/a^4 + 12/a^2 + 6*a^2 - a^4 - 
   26*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (28*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 838] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 839] -> -11 + 2/a^6 - 7/a^4 + 12/a^2 + 6*a^2 - a^4 - 
   30*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (28*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 33*z^4 + z^4/a^6 - (9*z^4)/a^4 + (28*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 840] -> 
  -2 + a^(-4) - a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 15*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 841] -> -12 + a^(-6) - 5/a^4 + 11/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (26*z^2)/a^2 + 19*a^2*z^2 - 
   4*a^4*z^2 - 35*z^4 + z^4/a^6 - (9*z^4)/a^4 + (26*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 842] -> 
  -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 10*z^2 + z^2/a^4 + 18*a^2*z^2 - 
   16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   15*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 843] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (22*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 844] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 845] -> 5*a^2 - 11*a^4 + 13*a^6 - 8*a^8 + 2*a^10 - 
   z^2 + 12*a^2*z^2 - 30*a^4*z^2 + 32*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 13*a^2*z^4 - 34*a^4*z^4 + 31*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 19*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 846] -> 
  -2 + 10*a^2 - 14*a^4 + 10*a^6 - 3*a^8 - 8*z^2 + 29*a^2*z^2 - 35*a^4*z^2 + 
   19*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + z^4/a^2 + 34*a^2*z^4 - 34*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 20*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 847] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 848] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (18*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 849] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 850] -> 
  2*a^4 + a^6 - 6*a^8 + 8*a^10 - 5*a^12 + a^14 - a^2*z^2 + 6*a^4*z^2 + 
   5*a^6*z^2 - 17*a^8*z^2 + 17*a^10*z^2 - 5*a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 7*a^6*z^4 - 18*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 851] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 7*z^2 + 
   z^2/a^2 + 17*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 852] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + 12*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 853] -> 
  -1 + 6*a^2 - 9*a^4 + 9*a^6 - 5*a^8 + a^10 - 3*z^2 + 15*a^2*z^2 - 
   24*a^4*z^2 + 21*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 18*a^2*z^4 - 
   28*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 16*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 854] -> a^2 - a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 
   3*a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 - 20*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 16*a^4*z^4 + 26*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 855] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 
   23*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 856] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 
   7/a^2 - 4*z^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - (25*z^2)/a^4 + (17*z^2)/a^2 - 
   4*z^4 + (10*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 857] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 858] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 859] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 860] -> 2 - 3*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   3*z^2 - z^2/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 861] -> -7 + 4/a^2 + 5*a^2 - a^4 - a^6 + 
   a^8 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 862] -> 2/a^4 - 2/a^2 + a^2 - a^6 + a^8 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^6*z^2 - 
   z^4 + (2*z^4)/a^4 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 863] -> -2 + 9*a^2 - 13*a^4 + 12*a^6 - 6*a^8 + a^10 - 
   5*z^2 + 22*a^2*z^2 - 32*a^4*z^2 + 26*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 23*a^2*z^4 - 33*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 864] -> a^2 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + z^2 - a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + 
   z^4 - 5*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 865] -> 
  2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 2*z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 + 3*a^2*z^4 - 10*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 866] -> 
  -1 + a^(-2) + a^2 + a^4 - 3*a^6 + 3*a^8 - a^10 - 4*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 867] -> 
  -1 + 6*a^2 - 9*a^4 + 9*a^6 - 5*a^8 + a^10 - 3*z^2 + 15*a^2*z^2 - 
   24*a^4*z^2 + 21*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 18*a^2*z^4 - 
   28*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 16*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 868] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 869] -> -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 870] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (4*z^2)/a^14 + (10*z^2)/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (23*z^4)/a^12 - (21*z^4)/a^10 - (6*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 871] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 872] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 873] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 874] -> 
  5 - a^(-2) - 6*a^2 + 4*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 875] -> 
  4*a^2 - 9*a^4 + 13*a^6 - 11*a^8 + 5*a^10 - a^12 + 7*a^2*z^2 - 22*a^4*z^2 + 
   32*a^6*z^2 - 24*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 24*a^4*z^4 + 
   32*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 14*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 876] -> -2 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 - a^2 + 
   a^4 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 877] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 878] -> 
  -12 - a^(-4) + 7/a^2 + 11*a^2 - 6*a^4 + 2*a^6 - 33*z^2 - (5*z^2)/a^4 + 
   (19*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 35*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 879] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 
   8*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 
   16*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 880] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 881] -> 3*a^2 - 8*a^4 + 15*a^6 - 15*a^8 + 8*a^10 - 
   2*a^12 + 7*a^2*z^2 - 24*a^4*z^2 + 41*a^6*z^2 - 32*a^8*z^2 + 12*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 30*a^4*z^4 + 41*a^6*z^4 - 24*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 20*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 882] -> 
  1 - a^2 + a^4 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 2*z^2 - 5*a^2*z^2 + 
   4*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 883] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 884] -> -4 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + a^4 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 885] -> 
  1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 8*a^2*z^2 - 18*a^4*z^2 + 
   17*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 886] -> 
  2*a^2 - 5*a^4 + 11*a^6 - 12*a^8 + 7*a^10 - 2*a^12 + 5*a^2*z^2 - 
   15*a^4*z^2 + 29*a^6*z^2 - 25*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   4*a^2*z^4 - 20*a^4*z^4 + 30*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 887] -> 
  -7 + 2/a^2 + 13*a^2 - 11*a^4 + 5*a^6 - a^8 - 22*z^2 + (5*z^2)/a^2 + 
   34*a^2*z^2 - 24*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 27*z^4 + (7*z^4)/a^2 + 
   36*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 888] -> -12 - a^(-4) + 7/a^2 + 11*a^2 - 6*a^4 + 
   2*a^6 - 29*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 889] -> 
  6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 10*z^2 + z^2/a^6 - (5*z^2)/a^2 - 
   8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 890] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (6*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 891] -> 
  -11 + 2/a^6 - 7/a^4 + 12/a^2 + 6*a^2 - a^4 - 26*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (28*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (29*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 892] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 10*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (16*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 893] -> -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 894] -> -2 + 11*a^2 - 17*a^4 + 14*a^6 - 6*a^8 + a^10 - 
   7*z^2 + 29*a^2*z^2 - 42*a^4*z^2 + 29*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 
   8*z^4 + 32*a^2*z^4 - 41*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   19*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 895] -> -8 + 2/a^2 + 16*a^2 - 15*a^4 + 
   8*a^6 - 2*a^8 - 25*z^2 + (6*z^2)/a^2 + 41*a^2*z^2 - 32*a^4*z^2 + 
   12*a^6*z^2 - a^8*z^2 - 30*z^4 + (7*z^4)/a^2 + 41*a^2*z^4 - 24*a^4*z^4 + 
   4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 896] -> 
  -4 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + a^4 - 6*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 897] -> -5 + 2/a^2 + 6*a^2 - a^4 - 3*a^6 + 3*a^8 - 
   a^10 - 10*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 
   3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 898] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 2*z^2 - 
   (4*z^2)/a^8 + (15*z^2)/a^6 - (11*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 899] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 900] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 901] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 902] -> 
  -10 + 3/a^2 + 16*a^2 - 13*a^4 + 7*a^6 - 2*a^8 - 24*z^2 + (6*z^2)/a^2 + 
   37*a^2*z^2 - 31*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   36*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 903] -> -6 + 2/a^2 + 9*a^2 - 7*a^4 + 
   5*a^6 - 2*a^8 - 14*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 18*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 904] -> -4 + 2/a^6 - 6/a^4 + 8/a^2 - a^2 + 3*a^4 - 
   a^6 - 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 905] -> 
  -a^(-10) + a^(-6) + a^(-4) - (3*z^2)/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (10*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 906] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 907] -> -17 - 2/a^4 + 10/a^2 + 15*a^2 - 6*a^4 + a^6 - 
   42*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 34*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 41*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 31*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 908] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 
   2/a^2 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 909] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + 
   z^4 - (10*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 910] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 2*z^2 + (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 911] -> 1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 912] -> 4*a^2 - 9*a^4 + 13*a^6 - 11*a^8 + 
   5*a^10 - a^12 + 7*a^2*z^2 - 22*a^4*z^2 + 32*a^6*z^2 - 24*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 24*a^4*z^4 + 32*a^6*z^4 - 20*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 14*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 913] -> 
  -12 - a^(-4) + 7/a^2 + 11*a^2 - 6*a^4 + 2*a^6 - 33*z^2 - (5*z^2)/a^4 + 
   (19*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 35*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 914] -> -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   23*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 915] -> 
  -9 + a^(-6) - 5/a^4 + 10/a^2 + 5*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (24*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 916] -> 
  5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 - 4*z^2 + 16*a^2*z^2 - 26*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 5*z^4 + 21*a^2*z^4 - 29*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 917] -> 
  -12 + 4/a^2 + 17*a^2 - 12*a^4 + 5*a^6 - a^8 - 27*z^2 + (6*z^2)/a^2 + 
   40*a^2*z^2 - 30*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 23*z^4 + (4*z^4)/a^2 + 
   39*a^2*z^4 - 29*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 918] -> -4 + a^(-6) - 4/a^4 + 6/a^2 + 
   3*a^2 - a^4 - 16*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 919] -> -3 + a^(-2) + 5*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   11*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 920] -> 
  2 + 2/a^4 - 4/a^2 + 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*z^2 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 7*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 921] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 922] -> 
  -1 + 2/a^2 - 3*a^2 + 5*a^4 - 3*a^6 + a^8 - z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 923] -> 
  6 + 2/a^4 - 4/a^2 - 7*a^2 + 6*a^4 - 3*a^6 + a^8 + 11*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 13*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 10*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 924] -> 
  -6 - 3/a^4 + 8/a^2 + a^2 + 2*a^4 - a^6 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 925] -> 8*a^6 - 16*a^8 + 16*a^10 - 9*a^12 + 2*a^14 - 
   2*a^4*z^2 + 25*a^6*z^2 - 41*a^8*z^2 + 35*a^10*z^2 - 13*a^12*z^2 + 
   a^14*z^2 - 5*a^4*z^4 + 29*a^6*z^4 - 42*a^8*z^4 + 26*a^10*z^4 - 
   4*a^12*z^4 - 4*a^4*z^6 + 17*a^6*z^6 - 21*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 926] -> 
  1 + a^(-10) - 6/a^8 + 11/a^6 - 8/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (23*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + z^4 - (8*z^4)/a^8 + 
   (19*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 927] -> 3*a^4 - 2*a^6 - 2*a^8 + 5*a^10 - 
   4*a^12 + a^14 - a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 5*a^8*z^2 + 
   10*a^10*z^2 - 4*a^12*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 
   6*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 928] -> -2 + 9*a^2 - 13*a^4 + 12*a^6 - 6*a^8 + a^10 - 
   5*z^2 + 22*a^2*z^2 - 32*a^4*z^2 + 26*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 23*a^2*z^4 - 33*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 929] -> -4 + 3/a^2 + a^2 + 2*a^4 - 2*a^6 + 
   a^8 - 9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 930] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 931] -> 
  4*a^2 - 9*a^4 + 13*a^6 - 11*a^8 + 5*a^10 - a^12 + 7*a^2*z^2 - 22*a^4*z^2 + 
   32*a^6*z^2 - 24*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 24*a^4*z^4 + 
   32*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 14*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 932] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 19*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + z^4/a^4 + 
   (6*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 933] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 934] -> -a^(-14) + 3/a^12 - 5/a^10 + 
   3/a^8 + a^(-4) - (3*z^2)/a^14 + (10*z^2)/a^12 - (10*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (12*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 935] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 936] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 29*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 34*z^4 - 
   (6*z^4)/a^4 + (25*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 937] -> -7 + 4/a^2 + 5*a^2 - a^4 - a^6 + 
   a^8 - 13*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 938] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 939] -> 
  -2 + 9*a^2 - 13*a^4 + 12*a^6 - 6*a^8 + a^10 - 5*z^2 + 22*a^2*z^2 - 
   32*a^4*z^2 + 26*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 5*z^4 + 23*a^2*z^4 - 
   33*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 17*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 940] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   11*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 941] -> 3 + a^(-6) - 3/a^4 + 2/a^2 - 4*a^2 + 3*a^4 - 
   a^6 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 942] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 943] -> -a^(-14) + 4/a^12 - 8/a^10 + 7/a^8 - 3/a^6 + 
   2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (15*z^2)/a^10 + (12*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 944] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 
   7/a^2 - 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (24*z^2)/a^4 + 
   (15*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (22*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + 
   z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 945] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 25*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   28*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 946] -> 
  -2 + 9*a^2 - 13*a^4 + 12*a^6 - 6*a^8 + a^10 - 5*z^2 + 22*a^2*z^2 - 
   32*a^4*z^2 + 26*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 5*z^4 + 23*a^2*z^4 - 
   33*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 17*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 947] -> -4 + 3/a^2 + a^2 + 2*a^4 - 2*a^6 + a^8 - 
   9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 
   4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 948] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   12*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 949] -> -a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 - 3*a^2 + 
   2*a^4 + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 950] -> 
  -16 + a^(-6) - 7/a^4 + 16/a^2 + 9*a^2 - 2*a^4 - 37*z^2 + (3*z^2)/a^6 - 
   (18*z^2)/a^4 + (39*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (39*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 951] -> 
  -16 - 2/a^4 + 10/a^2 + 14*a^2 - 7*a^4 + 2*a^6 - 39*z^2 - (5*z^2)/a^4 + 
   (22*z^2)/a^2 + 32*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 37*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 31*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 952] -> 
  -2 - a^(-6) + 4/a^4 - 3/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 4*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (8*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 953] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 954] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   24*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 24*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 30*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 28*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 955] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   25*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 28*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (30*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 956] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 27*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 33*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 957] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 23*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (25*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (31*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 958] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 15*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 
   21*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 
   25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 959] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 24*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   27*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 960] -> -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 - 
   (4*z^2)/a^10 + (8*z^2)/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^10 + (15*z^4)/a^8 + (5*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 961] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 24*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 25*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 33*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (4*z^6)/a^4 + (15*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 962] -> 1 - a^(-10) + a^(-8) + a^(-6) - 
   a^(-4) + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 963] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 13*a^2*z^2 - 25*a^4*z^2 + 
   24*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 5*z^4 + 21*a^2*z^4 - 34*a^4*z^4 + 
   21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 964] -> 
  -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 23*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 24*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 30*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 965] -> 
  -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 966] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (24*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 28*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (31*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 967] -> 
  -2 - 3/a^8 + 7/a^6 - 8/a^4 + 7/a^2 - 5*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - z^4/a^6 - 
   (17*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 968] -> 
  2/a^10 - 6/a^8 + 8/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^6 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 969] -> 
  2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 970] -> 
  a^(-6) - a^(-4) + a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 971] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 972] -> 
  3*a^2 - 5*a^4 + 4*a^6 - a^10 + 8*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 + 
   9*a^8*z^2 - 4*a^10*z^2 + 9*a^2*z^4 - 21*a^4*z^4 - 3*a^6*z^4 + 16*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 8*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 973] -> -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 
   11*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 23*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 974] -> 
  1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 975] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 
   a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 976] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 
   2*a^2 - 23*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 29*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 977] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 13*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (23*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (26*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 978] -> 
  -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (28*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 979] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 980] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (11*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + 
   (18*z^4)/a^8 + (2*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + 
   (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 981] -> -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 982] -> 
  -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 
   25*a^2*z^2 - 22*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 22*z^4 + (5*z^4)/a^2 + 
   33*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 983] -> -2 - 2/a^8 + 6/a^6 - 7/a^4 + 5/a^2 + a^2 - 
   11*z^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (27*z^4)/a^4 + 
   (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (16*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 984] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^10 - z^2/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 985] -> 
  1 + 2*z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 986] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 - z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 987] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 988] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 
   15*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 
   25*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 989] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 990] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 18*a^2*z^2 - 26*a^4*z^2 + 
   19*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 6*z^4 + 24*a^2*z^4 - 33*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 991] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 992] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 993] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 13*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 994] -> 
  -5 + 2/a^2 + 7*a^2 - 5*a^4 + 3*a^6 - a^8 - 15*z^2 + (4*z^2)/a^2 + 
   22*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 995] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 
   5*a^4 + 2*a^6 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 996] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 
   3*a^2 - 15*z^2 + z^2/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 997] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 998] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (2*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 999] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^8 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1000] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (4*z^4)/a^6 + z^4/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1001] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1002] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 6*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 1003] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 8*a^2*z^2 - 12*a^4*z^2 - a^6*z^2 + 
   14*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 20*a^4*z^4 - 7*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 9*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1004] -> 
  3*a^2 - 5*a^4 + 4*a^6 - a^10 + 2*z^2 + 3*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1005] -> 
  -4 + 2/a^2 + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   29*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1006] -> 2 + a^(-4) - 2/a^2 + a^2 - 
   2*a^4 + a^6 + 4*z^2 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 1007] -> -3 - 2/a^8 + 5/a^6 - 6/a^4 + 
   6/a^2 + a^2 - 12*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (28*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 1008] -> -2 - a^(-8) + 2/a^6 - 2/a^4 + 
   3/a^2 + a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1009] -> -3/a^10 + 6/a^8 - 4/a^6 + a^(-4) + 
   a^(-2) - (7*z^2)/a^10 + (19*z^2)/a^8 - (6*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - (8*z^4)/a^10 + (21*z^4)/a^8 - z^4/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 1010] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1011] -> 
  -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1012] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (27*z^4)/a^4 + 
   (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1013] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1014] -> -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 - z^2/a^10 + 
   z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1015] -> 
  -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 2*a^2 - 7*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1016] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^14 - z^2/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (2*z^4)/a^10 - (12*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1017] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 17*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + (4*z^4)/a^4 - 
   z^4/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 1018] -> -a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 + (2*z^4)/a^6 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1019] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 
   7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1020] -> 
  2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1021] -> 
  -5 + 2/a^2 + 9*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 14*z^2 + (3*z^2)/a^2 + 
   25*a^2*z^2 - 28*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1022] -> 3 + a^(-4) - 2/a^2 - a^2 - 
   2*a^4 + 3*a^6 - a^8 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1023] -> 
  -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 2*a^2 - 18*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (26*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (27*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1024] -> 
  -1 + a^(-10) - 5/a^8 + 10/a^6 - 11/a^4 + 7/a^2 - 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (26*z^2)/a^6 - (32*z^2)/a^4 + (18*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (26*z^4)/a^6 - (36*z^4)/a^4 + (18*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (20*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1025] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 13*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1026] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 16*z^2 + (3*z^2)/a^2 + 
   29*a^2*z^2 - 27*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1027] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 
   5*a^4 + a^6 - 29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 27*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 33*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1028] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + z^2 - 
   z^2/a^10 - (3*z^2)/a^8 + (18*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (17*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1029] -> 
  -5 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + 2*a^2 - 14*z^2 - (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (27*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1030] -> 3 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 2*a^2 + 
   a^4 + 5*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1031] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 19*z^2 + (4*z^2)/a^2 + 
   31*a^2*z^2 - 25*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 
   36*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1032] -> -1 + 7*a^2 - 11*a^4 + 10*a^6 - 5*a^8 + a^10 - 
   4*z^2 + 19*a^2*z^2 - 31*a^4*z^2 + 25*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 
   6*z^4 + 25*a^2*z^4 - 36*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   17*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1033] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1034] -> -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 
   7*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   7*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 1035] -> 
  -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 4*z^2 - (2*z^2)/a^6 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 1036] -> a^(-4) - a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - 
   a^8 + 2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1037] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   a^6 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 1038] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1039] -> 
  -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + a^4 + 2*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1040] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 27*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 33*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 28*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1041] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1042] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (18*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (17*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1043] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 
   11/a^2 + 2*a^2 - 18*z^2 - z^2/a^8 + (10*z^2)/a^6 - (26*z^2)/a^4 + 
   (30*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + (8*z^4)/a^6 - (27*z^4)/a^4 + 
   (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1044] -> -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 
   19*z^2 + (4*z^2)/a^2 + 31*a^2*z^2 - 25*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   25*z^4 + (6*z^4)/a^2 + 36*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1045] -> -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 
   16*z^2 + (3*z^2)/a^2 + 29*a^2*z^2 - 27*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 33*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1046] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1047] -> 
  -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 2*a^2 - 7*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1048] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 - z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 1049] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1050] -> 
  a^(-6) - a^(-4) + a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1051] -> a^(-14) - 5/a^12 + 8/a^10 - 7/a^8 + 3/a^6 + 
   a^(-4) - (4*z^2)/a^12 + (13*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (4*z^4)/a^12 + (5*z^4)/a^10 - (14*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1052] -> -5 + 2/a^2 + 9*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   14*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 28*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1053] -> 
  -5 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + 2*a^2 - 14*z^2 - (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (27*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1054] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1055] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 1056] -> 
  -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 1057] -> a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + 
   3*a^4 - a^6 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 1058] -> 
  3 - a^(-8) + 3/a^4 - 3/a^2 - a^2 + 6*z^2 + z^2/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1059] -> 2 + a^(-10) - a^(-8) - 2/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1060] -> 
  -1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1061] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1062] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 2*z^2 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 + 3*z^4 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1063] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1064] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (20*z^2)/a^6 - (27*z^2)/a^4 + (17*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (22*z^4)/a^6 - (34*z^4)/a^4 + (18*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (20*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 1065] -> 
  -1 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1066] -> 1 - 2/a^10 + 4/a^8 - 3/a^6 + 2/a^4 - a^(-2) + 
   3*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1067] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   z^2 - z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1068] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 3*a^10 - a^12 + 5*a^2*z^2 - 15*a^4*z^2 + 
   26*a^6*z^2 - 19*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 24*a^4*z^4 + 
   32*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 
   18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 1069] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1070] -> 1 - a^2 + 4*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 4*a^10*z^2 + 
   2*z^4 - 6*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 1071] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1072] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 22*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (21*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 - (6*z^4)/a^4 + 
   (21*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 + z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 1073] -> 2 - a^(-10) + 2/a^8 - 2/a^6 + 
   3/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1074] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 1075] -> 
  a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 
   25*a^6*z^2 - 22*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 
   22*a^4*z^4 + 32*a^6*z^4 - 22*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 1076] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 
   2*a^10 - a^12 + z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   4*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 1077] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 12*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (20*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   (5*z^4)/a^6 - (19*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - z^6/a^6 - 
   (5*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1078] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 16*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1079] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 17*z^2 + 
   (5*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 10*z^4 + 18*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 1080] -> -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - 
   (4*z^2)/a^14 + (14*z^2)/a^12 - (13*z^2)/a^10 + (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^4)/a^14 + (26*z^4)/a^12 - (31*z^4)/a^10 + z^4/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (30*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 1081] -> 
  -a^(-14) + 2/a^12 - 3/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (6*z^2)/a^10 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (7*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1082] -> 
  5*a^4 - 11*a^6 + 12*a^8 - 5*a^10 + 22*a^4*z^2 - 56*a^6*z^2 + 57*a^8*z^2 - 
   17*a^10*z^2 + 34*a^4*z^4 - 101*a^6*z^4 + 84*a^8*z^4 - 17*a^10*z^4 + 
   24*a^4*z^6 - 88*a^6*z^6 + 55*a^8*z^6 - 7*a^10*z^6 + 8*a^4*z^8 - 
   41*a^6*z^8 + 17*a^8*z^8 - a^10*z^8 + a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 1083] -> a^2 + 2*a^4 - 7*a^6 + 9*a^8 - 
   4*a^10 + 6*a^2*z^2 - 3*a^4*z^2 - 16*a^6*z^2 + 26*a^8*z^2 - 8*a^10*z^2 + 
   9*a^2*z^4 - 14*a^4*z^4 - 20*a^6*z^4 + 27*a^8*z^4 - 5*a^10*z^4 + 
   5*a^2*z^6 - 14*a^4*z^6 - 15*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1084] -> 2*a^2 - a^4 - 3*a^6 + 6*a^8 - 3*a^10 + 
   7*a^2*z^2 - 9*a^4*z^2 - 6*a^6*z^2 + 18*a^8*z^2 - 6*a^10*z^2 + 9*a^2*z^4 - 
   18*a^4*z^4 - 10*a^6*z^4 + 20*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 10*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1085] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (28*z^4)/a^4 + (27*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1086] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 25*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   30*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1087] -> 
  a^2 + a^4 - 4*a^6 + 6*a^8 - 3*a^10 + 7*a^2*z^2 - 8*a^4*z^2 - 7*a^6*z^2 + 
   20*a^8*z^2 - 7*a^10*z^2 + 11*a^2*z^4 - 21*a^4*z^4 - 11*a^6*z^4 + 
   24*a^8*z^4 - 5*a^10*z^4 + 6*a^2*z^6 - 18*a^4*z^6 - 12*a^6*z^6 + 
   12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1088] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 2*z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 2*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 - 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1089] -> 
  3*a^2 - 5*a^4 + 4*a^6 - a^10 + 2*z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 2*a^2*z^4 - 13*a^4*z^4 + 5*a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1090] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 6*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 1091] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - z^2 + 11*a^2*z^2 - 24*a^4*z^2 + 
   23*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 30*a^4*z^4 + 
   26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 1092] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 
   23*a^2*z^2 - 26*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   30*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1093] -> 1 + 2*z^2 - 3*a^2*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 1094] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 23*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 29*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1095] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 - (8*z^2)/a^4 + (24*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (31*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1096] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1097] -> -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (7*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1098] -> -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 
   2/a^2 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 1099] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1100] -> 
  2*a^2 - a^4 - 3*a^6 + 6*a^8 - 3*a^10 + 7*a^2*z^2 - 7*a^4*z^2 - 10*a^6*z^2 + 
   20*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 13*a^4*z^4 - 16*a^6*z^4 + 
   21*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 12*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1101] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (23*z^2)/a^6 - (24*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (24*z^4)/a^6 - (32*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1102] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   22*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (29*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1103] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1104] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - z^4/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   6*a^4*z^4 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1105] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 1106] -> -2 + a^(-10) - 6/a^8 + 11/a^6 - 11/a^4 + 
   8/a^2 - 5*z^2 + z^2/a^10 - (7*z^2)/a^8 + (20*z^2)/a^6 - (25*z^2)/a^4 + 
   (20*z^2)/a^2 - 4*z^4 + (9*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1107] -> -a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 8/a^4 + 
   4/a^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (23*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - 
   (22*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (11*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 1108] -> 
  2 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^2 + 3*z^2 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1109] -> 4 - 3/a^6 + 7/a^4 - 6/a^2 - a^2 + 
   8*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (12*z^2)/a^4 - (11*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1110] -> 
  2 + 2/a^8 - 6/a^6 + 7/a^4 - 4/a^2 + 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (12*z^2)/a^6 + (11*z^2)/a^4 - (8*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1111] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 - 
   2*z^2 + z^2/a^8 - (2*z^2)/a^6 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 1112] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 1113] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   4*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 1114] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 2*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (11*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1115] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1116] -> 1 - a^2 + 3*a^4 - 6*a^6 + 7*a^8 - 3*a^10 + 
   3*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 11*a^6*z^2 + 13*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 7*a^2*z^4 + a^4*z^4 - 9*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1117] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + 
   a^6 - 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 1118] -> 
  1 - a^4 + a^6 + a^8 - a^10 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 1119] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 6*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1120] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 7*z^2 - (3*z^2)/a^2 - a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1121] -> 
  -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + a^8 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 1122] -> 
  -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 1123] -> -a^(-14) + a^(-12) - 2/a^8 + 
   3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   (7*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1124] -> -2 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 + z^4/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1125] -> 4*a^2 - 7*a^4 + 5*a^6 - a^10 + 8*a^2*z^2 - 
   16*a^4*z^2 + 6*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 18*a^4*z^4 - 
   2*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 6*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1126] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1127] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1128] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1129] -> 
  -4 + a^(-4) + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 6*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 1130] -> 
  -10 + 2/a^6 - 6/a^4 + 10/a^2 + 6*a^2 - a^4 - 24*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1131] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 5*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   2*a^2*z^2 - a^4*z^2 + (4*z^4)/a^4 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1132] -> -11 - a^(-4) + 6/a^2 + 11*a^2 - 5*a^4 + a^6 - 
   28*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 29*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1133] -> 
  -4 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + a^4 - 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1134] -> 2 - a^(-8) + 2/a^6 - a^(-4) - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1135] -> 
  3 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1136] -> 
  -10 + 4/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 20*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 
   18*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + 22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 
   2*z^6 - (3*z^6)/a^2 + 12*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 4*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 1137] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - 2*a^4 + a^6 + 
   2*z^2 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1138] -> -9 + 2/a^6 - 7/a^4 + 11/a^2 + 5*a^2 - a^4 - 
   23*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (27*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (28*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1139] -> 3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 + 
   7*a^2*z^2 - 10*a^4*z^2 - 4*a^6*z^2 + 15*a^8*z^2 - 5*a^10*z^2 + 7*a^2*z^4 - 
   14*a^4*z^4 - 12*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 11*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1140] -> 1 - 2*a^6 + 4*a^8 - 2*a^10 + 2*z^2 - 
   a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1141] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + 
   z^2 + 6*a^2*z^2 - 19*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 2*z^4 + 
   2*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1142] -> -2 + 9*a^2 - 12*a^4 + 9*a^6 - 
   3*a^8 - 8*z^2 + 28*a^2*z^2 - 32*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 33*a^2*z^4 - 32*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1143] -> 
  -2 + 9*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 8*z^2 + 28*a^2*z^2 - 32*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 33*a^2*z^4 - 32*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1144] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - 16*z^2 + (3*z^2)/a^2 + 31*a^2*z^2 - 27*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 24*z^4 + (6*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 1145] -> 
  -a^(-14) + 2/a^12 - 3/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - 
   (5*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 1146] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + z^2 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1147] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   a^(-2) + a^2 - 3*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + z^6/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 1148] -> 
  2 - 3*a^2 + 4*a^4 - 5*a^6 + 5*a^8 - 2*a^10 + 3*z^2 - 7*a^2*z^2 + 
   8*a^4*z^2 - 11*a^6*z^2 + 10*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 
   4*a^4*z^4 - 9*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1149] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 4*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1150] -> -2 + a^(-2) + 3*a^2 - 3*a^6 + 
   3*a^8 - a^10 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 
   3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 1151] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - 16*z^2 + (3*z^2)/a^2 + 31*a^2*z^2 - 27*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 24*z^4 + (6*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 1152] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 12*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (20*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + 
   (5*z^4)/a^6 - (19*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - z^6/a^6 - 
   (5*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1153] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (8*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1154] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1155] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1156] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1157] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1158] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1159] -> 
  3 - a^(-8) + 3/a^4 - 3/a^2 - a^2 + 6*z^2 + z^2/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1160] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (20*z^2)/a^4 + (14*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1161] -> -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-2) + 
   a^2 - 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^4 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1162] -> 
  -10 + 2/a^6 - 6/a^4 + 10/a^2 + 6*a^2 - a^4 - 24*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1163] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1164] -> 
  -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 9*z^2 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1165] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 
   2*a^6 - a^8 - 3*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1166] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1167] -> -11 - a^(-4) + 6/a^2 + 11*a^2 - 5*a^4 + a^6 - 
   28*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 29*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1168] -> 
  2*a^2 - a^4 - 3*a^6 + 6*a^8 - 3*a^10 + 7*a^2*z^2 - 7*a^4*z^2 - 10*a^6*z^2 + 
   20*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 13*a^4*z^4 - 16*a^6*z^4 + 
   21*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 12*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1169] -> 
  3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 + 2*z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 10*a^4*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1170] -> 
  -4 + 2/a^2 + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 7*z^2 + z^2/a^4 - z^2/a^2 + 
   14*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 1171] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 18*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 1172] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1173] -> -11 - 2/a^4 + 8/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   27*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1174] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 5*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1175] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 5*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   2*a^2*z^2 - a^4*z^2 + (4*z^4)/a^4 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1176] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 + 
   3*z^4 + (5*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1177] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   28*z^4 - z^4/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   17*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1178] -> 
  -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 21*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (20*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1179] -> 
  a^(-4) - a^(-2) + a^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 2*z^4 - (2*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 1180] -> 
  -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 1181] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1182] -> 2*a^2 - a^4 - 3*a^6 + 6*a^8 - 3*a^10 + 
   2*z^2 + a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 3*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1183] -> -5 + 2/a^2 + 7*a^2 - 5*a^4 + 
   3*a^6 - a^8 - 8*z^2 + z^2/a^4 + 14*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 1184] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1185] -> 3*a^2 - 5*a^4 + 4*a^6 - a^10 + z^2/a^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 1186] -> 
  -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 5*z^2 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 1187] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1188] -> -a^(-14) + 2/a^12 - 3/a^10 + 2/a^8 + a^(-4) - 
   z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 1189] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   14*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1190] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   2/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1191] -> 
  3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 + 2*z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 10*a^4*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1192] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1193] -> 
  1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 - a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + z^4/a^2 + 6*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 1194] -> 
  -7 - 2/a^8 + 8/a^6 - 14/a^4 + 14/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + 
   (13*z^2)/a^6 - (30*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1195] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 10*z^2 + 
   z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 
   z^4/a^6 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 1196] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + 
   (3*z^2)/a^12 - (4*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1197] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 2*z^2 - 11*a^4*z^2 + 20*a^6*z^2 - 
   7*a^8*z^2 + 7*z^4 - 9*a^2*z^4 - 15*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 
   5*z^6 - 12*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 1198] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 6*a^2*z^2 + 
   a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 1199] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 + z^2/a^6 - (6*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1200] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + z^2/a^2 - 2*a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 1201] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 1202] -> 
  -11 + 4/a^2 + 15*a^2 - 11*a^4 + 5*a^6 - a^8 - 24*z^2 + (5*z^2)/a^2 + 
   36*a^2*z^2 - 29*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 20*z^4 + (3*z^4)/a^2 + 
   37*a^2*z^4 - 29*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1203] -> -15 - 2/a^4 + 9/a^2 + 14*a^2 - 
   6*a^4 + a^6 - 38*z^2 - (3*z^2)/a^4 + (19*z^2)/a^2 + 33*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 39*z^4 - (2*z^4)/a^4 + (17*z^4)/a^2 + 
   31*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 21*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1204] -> 3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 + 
   7*a^2*z^2 - 10*a^4*z^2 - 4*a^6*z^2 + 15*a^8*z^2 - 5*a^10*z^2 + 7*a^2*z^4 - 
   14*a^4*z^4 - 12*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 11*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1205] -> -14 - 2/a^4 + 9/a^2 + 13*a^2 - 7*a^4 + 
   2*a^6 - 35*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 31*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 35*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 31*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1206] -> -15 + a^(-6) - 6/a^4 + 14/a^2 + 9*a^2 - 
   2*a^4 - 36*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (35*z^2)/a^2 + 17*a^2*z^2 - 
   3*a^4*z^2 - 33*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (37*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1207] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 
   2*a^2 - 15*z^2 - z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 - z^6/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1208] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + 
   z^4/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1209] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (3*z^2)/a^14 + (8*z^2)/a^12 - 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (22*z^4)/a^12 - 
   (21*z^4)/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (25*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 1210] -> -a^(-14) + 3/a^12 - 6/a^10 + 6/a^8 - 3/a^6 + 
   2/a^4 - (2*z^2)/a^14 + (9*z^2)/a^12 - (12*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (11*z^4)/a^10 + 
   z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 1211] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 
   11/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + 
   (28*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (32*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 1212] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 
   2*a^2 + a^4 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1213] -> -3 + a^(-2) + 6*a^2 - 6*a^4 + 
   5*a^6 - 2*a^8 - 13*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 20*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 26*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1214] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1215] -> 1 + a^(-2) - 4*a^2 + 5*a^4 - 3*a^6 + a^8 - 
   z^2 - z^2/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 1216] -> 3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1217] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 16*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^6 - 
   (8*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1218] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 17*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 - 10*z^4 + 18*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 
   2*z^6 - (3*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 4*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 1219] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 17*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (16*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1220] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1221] -> -7 + 2/a^2 + 14*a^2 - 14*a^4 + 8*a^6 - 
   2*a^8 - 22*z^2 + (5*z^2)/a^2 + 37*a^2*z^2 - 31*a^4*z^2 + 12*a^6*z^2 - 
   a^8*z^2 - 27*z^4 + (6*z^4)/a^2 + 39*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 1222] -> 
  4*a^2 - 10*a^4 + 15*a^6 - 12*a^8 + 5*a^10 - a^12 + 8*a^2*z^2 - 26*a^4*z^2 + 
   38*a^6*z^2 - 26*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 30*a^4*z^4 + 
   38*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 18*a^4*z^6 + 
   19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 1223] -> -2 + 10*a^2 - 15*a^4 + 13*a^6 - 6*a^8 + 
   a^10 - 6*z^2 + 26*a^2*z^2 - 38*a^4*z^2 + 28*a^6*z^2 - 9*a^8*z^2 + 
   a^10*z^2 - 7*z^4 + 29*a^2*z^4 - 39*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 18*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1224] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 - (3*z^2)/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 1225] -> 1 - a^(-10) + 4/a^8 - 7/a^6 + 6/a^4 - 2/a^2 + 
   2*z^2 - z^2/a^10 + (8*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^10 + (5*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 1226] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 10*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + z^4/a^2 - 10*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 1227] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 5*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1228] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - a^(-4) + 2*z^2 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1229] -> 2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1230] -> -4 + 2/a^2 + 4*a^2 - 2*a^4 + 
   2*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1231] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1232] -> 1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 
   2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1233] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1234] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 
   3*a^4 - 27*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 
   24*z^4 + z^4/a^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1235] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1236] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1237] -> -2/a^12 + 6/a^10 - 8/a^8 + 6/a^6 - 3/a^4 + 
   2/a^2 - z^2/a^12 + (10*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 1238] -> 
  1 - a^(-12) + 2/a^10 - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1239] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (22*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1240] -> -5 + 2/a^2 + 7*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   8*z^2 + z^2/a^4 + 14*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 1241] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 1242] -> a^4 + 3*a^6 - 7*a^8 + 8*a^10 - 5*a^12 + 
   a^14 + 3*a^4*z^2 + 8*a^6*z^2 - 16*a^8*z^2 + 16*a^10*z^2 - 5*a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 16*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 1243] -> 1 - 3*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 
   2*z^2 - 2*a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 - 15*a^8*z^2 + 5*a^10*z^2 + 
   2*z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 1244] -> 1 - 3*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 
   2*z^2 - 2*a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 - 15*a^8*z^2 + 5*a^10*z^2 + 
   2*z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 1245] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 22*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1246] -> 
  -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 1247] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1248] -> a^(-4) - a^(-2) + a^2 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^2 - 
   3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 1249] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   16*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 14*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 1250] -> 2 - 3*a^2 + a^4 + 5*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 3*z^2 - 7*a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 
   4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 1251] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   21*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1252] -> a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + 3*a^4 - 
   a^6 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 1253] -> 
  -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1254] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   9*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1255] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1256] -> 
  -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 5*z^2 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 1257] -> 2 - a^(-8) + 2/a^6 - a^(-4) - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1258] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 1259] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1260] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1261] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1262] -> 
  a^(-2) - a^2 + a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1263] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1264] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1265] -> 2 + a^(-10) - a^(-8) - 2/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1266] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 22*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 1267] -> a^(-2) - a^2 + a^4 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1268] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (2*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1269] -> 
  -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 27*z^2 - (2*z^2)/a^4 + 
   (14*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 26*z^4 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + (4*z^6)/a^4 - 
   (7*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1270] -> 
  -4 - a^(-6) + a^(-4) + 2/a^2 + 5*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^4 + 
   9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^6 - (5*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 1271] -> 
  4*a^2 - 7*a^4 + 5*a^6 - a^10 + 8*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 + 
   7*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 18*a^4*z^4 - 2*a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1272] -> -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1273] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (8*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1274] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 21*z^2 - 
   z^2/a^4 + (10*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 22*z^4 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1275] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + z^2 + 6*a^2*z^2 - 19*a^4*z^2 + 17*a^6*z^2 - 
   2*a^8*z^2 - a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1276] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1277] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1278] -> 
  -10 - a^(-4) + 6/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 27*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1279] -> 
  a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - 
   (5*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 + z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 1280] -> 
  6 - 2/a^2 - 6*a^2 + 5*a^4 - 2*a^6 + 10*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   10*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 1281] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 1282] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 10*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + z^4/a^2 - 10*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 1283] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1284] -> 
  2 - 3*a^2 + 4*a^4 - 5*a^6 + 5*a^8 - 2*a^10 + 3*z^2 - 7*a^2*z^2 + 
   8*a^4*z^2 - 11*a^6*z^2 + 10*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 
   4*a^4*z^4 - 9*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1285] -> -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 1286] -> -2 - 3/a^8 + 9/a^6 - 12/a^4 + 9/a^2 - 5*z^2 - 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (27*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (8*z^4)/a^6 - (25*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1287] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1288] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 28*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (26*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 30*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (30*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1289] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1290] -> -10 + 4/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 
   20*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 11*z^4 + 
   22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 1291] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - 
   2*a^4 + a^6 + 2*z^2 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1292] -> -4 + a^(-4) + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   6*z^2 + z^2/a^4 - (3*z^2)/a^2 + 16*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 1293] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1294] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (22*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1295] -> a^4 + 3*a^6 - 7*a^8 + 8*a^10 - 5*a^12 + 
   a^14 + 3*a^4*z^2 + 8*a^6*z^2 - 16*a^8*z^2 + 16*a^10*z^2 - 5*a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 16*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 1296] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 15*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1297] -> 
  2*a^2 - 5*a^4 + 10*a^6 - 10*a^8 + 6*a^10 - 2*a^12 + 5*a^2*z^2 - 
   14*a^4*z^2 + 27*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   4*a^2*z^4 - 20*a^4*z^4 + 29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 1298] -> 
  2*a^2 - 5*a^4 + 10*a^6 - 10*a^8 + 6*a^10 - 2*a^12 + 5*a^2*z^2 - 
   14*a^4*z^2 + 27*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   4*a^2*z^4 - 20*a^4*z^4 + 29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 1299] -> 
  -2 + a^(-10) - 6/a^8 + 13/a^6 - 15/a^4 + 10/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (27*z^2)/a^6 - (35*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 + (2*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1300] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1301] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - 
   z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 + (4*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 1302] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 6*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1303] -> 1 - 2*a^6 + 4*a^8 - 2*a^10 + 2*z^2 - 
   a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1304] -> 3 - a^(-8) + 2/a^6 - a^(-4) - 
   a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1305] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 1306] -> 
  -a^(-14) + 3/a^12 - 5/a^10 + 3/a^8 + a^(-6) - a^(-4) + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (7*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (5*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 1307] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 3*a^2 + 3*a^4 - 
   a^6 + z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 1308] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 1309] -> 
  -5 + 2/a^2 + 7*a^2 - 3*a^4 - 2*a^6 + 3*a^8 - a^10 - 11*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 1310] -> 
  -7 - 2/a^8 + 8/a^6 - 14/a^4 + 14/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + 
   (13*z^2)/a^6 - (30*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1311] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 10*z^2 + 
   z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 
   z^4/a^6 + z^4/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 1312] -> -13 + 2/a^6 - 8/a^4 + 14/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + (34*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 31*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (35*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1313] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1314] -> -2/a^12 + 6/a^10 - 8/a^8 + 6/a^6 - 3/a^4 + 
   2/a^2 - z^2/a^12 + (10*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + (2*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 1315] -> 
  -10 - a^(-8) + 6/a^6 - 12/a^4 + 14/a^2 + 4*a^2 - 21*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (32*z^2)/a^4 + (33*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (33*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (16*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1316] -> 6 + a^(-4) - 3/a^2 - 6*a^2 + 5*a^4 - 3*a^6 + 
   a^8 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 
   3*z^4 - 6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 1317] -> 3*a^2 - 8*a^4 + 14*a^6 - 13*a^8 + 
   7*a^10 - 2*a^12 + 7*a^2*z^2 - 22*a^4*z^2 + 37*a^6*z^2 - 29*a^8*z^2 + 
   12*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 28*a^4*z^4 + 38*a^6*z^4 - 
   24*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 20*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 1318] -> 1 - a^2 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*z^2 - 3*a^2*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + z^4 - 5*a^2*z^4 - 
   a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 1319] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 
   3/a^6 - a^(-4) + 2*z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (5*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1320] -> 
  6 + a^(-8) - 3/a^6 + 5/a^4 - 6/a^2 - 3*a^2 + a^4 + 9*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1321] -> 
  -9 + 3/a^2 + 14*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 22*z^2 + (5*z^2)/a^2 + 
   34*a^2*z^2 - 29*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   34*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1322] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   4*a^4 + 3*a^6 - a^8 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 1323] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 
   11/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + 
   (28*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (32*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 1324] -> -10 + a^(-6) - 5/a^4 + 10/a^2 + 
   7*a^2 - 2*a^4 - 28*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 30*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (30*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1325] -> 5 + a^(-6) - 3/a^2 - 4*a^2 + 2*a^4 + 9*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   9*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1326] -> 2 - 4*a^2 + 7*a^4 - 7*a^6 + 4*a^8 - a^10 + 
   z^2 - 6*a^2*z^2 + 12*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 1327] -> 
  7*a^6 - 14*a^8 + 15*a^10 - 9*a^12 + 2*a^14 - a^4*z^2 + 22*a^6*z^2 - 
   37*a^8*z^2 + 34*a^10*z^2 - 13*a^12*z^2 + a^14*z^2 - 4*a^4*z^4 + 
   26*a^6*z^4 - 40*a^8*z^4 + 26*a^10*z^4 - 4*a^12*z^4 - 4*a^4*z^6 + 
   16*a^6*z^6 - 21*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 1328] -> 2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + 
   a^14 + 5*a^4*z^2 - 6*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 - a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 1329] -> 
  3*a^2 - 8*a^4 + 14*a^6 - 13*a^8 + 7*a^10 - 2*a^12 + 7*a^2*z^2 - 
   22*a^4*z^2 + 37*a^6*z^2 - 29*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 + 
   6*a^2*z^4 - 28*a^4*z^4 + 38*a^6*z^4 - 24*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 17*a^4*z^6 + 20*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 1330] -> 
  1 - a^2 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 2*z^2 - 3*a^2*z^2 + 8*a^6*z^2 - 
   8*a^8*z^2 + 4*a^10*z^2 + z^4 - 5*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 1331] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1332] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1333] -> 
  -2 - 3/a^8 + 9/a^6 - 12/a^4 + 9/a^2 - 5*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - 
   (27*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + z^4/a^8 + (8*z^4)/a^6 - 
   (25*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1334] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 1335] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1336] -> 
  -9 + 3/a^6 - 8/a^4 + 11/a^2 + 4*a^2 - 20*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (26*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (30*z^4)/a^4 + (31*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 1337] -> 
  2 + 2/a^6 - 3/a^4 + a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1338] -> 
  -8 - 2/a^8 + 8/a^6 - 13/a^4 + 13/a^2 + 3*a^2 - 18*z^2 - (4*z^2)/a^8 + 
   (19*z^2)/a^6 - (33*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + (16*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1339] -> -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + a^4 + 
   z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1340] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 
   2*a^2 - 15*z^2 - z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 - z^6/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1341] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 
   4/a^4 + a^(-2) + 2*z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (16*z^2)/a^6 - 
   (10*z^2)/a^4 + z^4 - (9*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1342] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + 
   z^4/a^8 - z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1343] -> -4 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + a^4 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1344] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 4/a^4 + a^(-2) + 2*z^2 + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + z^4 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1345] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 21*z^2 - z^2/a^4 + (10*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 22*z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 1346] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 + 
   z^4 - z^4/a^10 - (5*z^4)/a^8 + (17*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1347] -> 
  6 + a^(-8) - 3/a^6 + 5/a^4 - 6/a^2 - 3*a^2 + a^4 + 9*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1348] -> 
  -9 + 3/a^2 + 14*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 22*z^2 + (5*z^2)/a^2 + 
   34*a^2*z^2 - 29*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   34*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1349] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   4*a^4 + 3*a^6 - a^8 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 1350] -> -2 - 2/a^8 + 7/a^6 - 9/a^4 + 
   6/a^2 + a^2 - 8*z^2 - z^2/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1351] -> -11 + 4/a^2 + 15*a^2 - 11*a^4 + 5*a^6 - a^8 - 
   24*z^2 + (5*z^2)/a^2 + 36*a^2*z^2 - 29*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   20*z^4 + (3*z^4)/a^2 + 37*a^2*z^4 - 29*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1352] -> 
  -15 - 2/a^4 + 9/a^2 + 14*a^2 - 6*a^4 + a^6 - 38*z^2 - (3*z^2)/a^4 + 
   (19*z^2)/a^2 + 33*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 39*z^4 - 
   (2*z^4)/a^4 + (17*z^4)/a^2 + 31*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 21*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1353] -> 
  -8 - 2/a^8 + 8/a^6 - 13/a^4 + 13/a^2 + 3*a^2 - 18*z^2 - (4*z^2)/a^8 + 
   (19*z^2)/a^6 - (33*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + (16*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1354] -> -7 + 2/a^2 + 14*a^2 - 14*a^4 + 8*a^6 - 
   2*a^8 - 22*z^2 + (5*z^2)/a^2 + 37*a^2*z^2 - 31*a^4*z^2 + 12*a^6*z^2 - 
   a^8*z^2 - 27*z^4 + (6*z^4)/a^2 + 39*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 1355] -> 
  -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + a^4 + z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1356] -> 4*a^2 - 10*a^4 + 15*a^6 - 12*a^8 + 5*a^10 - 
   a^12 + 8*a^2*z^2 - 26*a^4*z^2 + 38*a^6*z^2 - 26*a^8*z^2 + 9*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 30*a^4*z^4 + 38*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 1357] -> 
  -2 + 10*a^2 - 15*a^4 + 13*a^6 - 6*a^8 + a^10 - 6*z^2 + 26*a^2*z^2 - 
   38*a^4*z^2 + 28*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 7*z^4 + 29*a^2*z^4 - 
   39*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 18*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1358] -> 2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1359] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1360] -> 2 - 3*a^2 + a^4 + 5*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 3*z^2 - 7*a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 
   4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 1361] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1362] -> 
  -9 + 2/a^6 - 7/a^4 + 11/a^2 + 5*a^2 - a^4 - 23*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (27*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (28*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1363] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1364] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^4 - 
   a^(-2) + 2*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^4 - (2*z^2)/a^2 + 
   z^4 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1365] -> -3 - a^(-8) + 5/a^6 - 8/a^4 + 
   7/a^2 + a^4 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1366] -> 8 + a^(-4) - 4/a^2 - 7*a^2 + 4*a^4 - a^6 + 
   12*z^2 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1367] -> 1 - a^(-10) + 4/a^8 - 7/a^6 + 6/a^4 - 2/a^2 + 
   2*z^2 - z^2/a^10 + (8*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^10 + (5*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 1368] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) + a^2 - 3*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^8 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 1369] -> -5 + 2/a^2 + 7*a^2 - 3*a^4 - 2*a^6 + 3*a^8 - 
   a^10 - 11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 
   3*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 1370] -> -13 + 2/a^6 - 8/a^4 + 14/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + (34*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 31*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (35*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1371] -> 8 + 3/a^4 - 7/a^2 - 5*a^2 + 2*a^4 + 12*z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   9*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1372] -> 2 - 4*a^2 + 7*a^4 - 7*a^6 + 4*a^8 - a^10 + 
   z^2 - 6*a^2*z^2 + 12*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 - a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 1373] -> 
  7*a^6 - 14*a^8 + 15*a^10 - 9*a^12 + 2*a^14 - a^4*z^2 + 22*a^6*z^2 - 
   37*a^8*z^2 + 34*a^10*z^2 - 13*a^12*z^2 + a^14*z^2 - 4*a^4*z^4 + 
   26*a^6*z^4 - 40*a^8*z^4 + 26*a^10*z^4 - 4*a^12*z^4 - 4*a^4*z^6 + 
   16*a^6*z^6 - 21*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 1374] -> 2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + 
   a^14 + 5*a^4*z^2 - 6*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 - a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 
   4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 1375] -> 
  -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 27*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 24*z^4 + z^4/a^4 + (8*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 1376] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 
   2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1377] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1378] -> -10 - a^(-4) + 6/a^2 + 10*a^2 - 6*a^4 + 
   2*a^6 - 27*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1379] -> 
  -11 - 2/a^4 + 8/a^2 + 9*a^2 - 4*a^4 + a^6 - 27*z^2 - (4*z^2)/a^4 + 
   (17*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1380] -> 
  8 + a^(-4) - 4/a^2 - 7*a^2 + 4*a^4 - a^6 + 12*z^2 + z^2/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 1381] -> 
  8*a^2 - 21*a^4 + 27*a^6 - 19*a^8 + 7*a^10 - a^12 + 13*a^2*z^2 - 
   44*a^4*z^2 + 55*a^6*z^2 - 34*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 
   9*a^2*z^4 - 40*a^4*z^4 + 46*a^6*z^4 - 23*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 20*a^4*z^6 + 20*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 1382] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1383] -> 
  -4 + 17*a^2 - 26*a^4 + 23*a^6 - 11*a^8 + 2*a^10 - 9*z^2 + 38*a^2*z^2 - 
   55*a^4*z^2 + 41*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 8*z^4 + 36*a^2*z^4 - 
   48*a^4*z^4 + 26*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 19*a^2*z^6 - 21*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1384] -> -2 + 2/a^6 - 6/a^4 + 7/a^2 - 2*a^2 + 3*a^4 - 
   a^6 - 3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1385] -> -2 + a^(-6) - a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 + a^6 - 4*z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^6 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - z^6/a^2, Knot[15, Alternating, 1386] -> 
  a^2 + 3*a^4 - 8*a^6 + 9*a^8 - 5*a^10 + a^12 - z^2 + 3*a^2*z^2 + 5*a^4*z^2 - 
   15*a^6*z^2 + 14*a^8*z^2 - 4*a^10*z^2 - 2*z^4 + 4*a^2*z^4 + 3*a^4*z^4 - 
   12*a^6*z^4 + 6*a^8*z^4 - z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 4*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 1387] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (20*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1388] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + z^4/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 1389] -> -4 + 17*a^2 - 26*a^4 + 23*a^6 - 11*a^8 + 
   2*a^10 - 9*z^2 + 38*a^2*z^2 - 55*a^4*z^2 + 41*a^6*z^2 - 13*a^8*z^2 + 
   a^10*z^2 - 8*z^4 + 36*a^2*z^4 - 48*a^4*z^4 + 26*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 19*a^2*z^6 - 21*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1390] -> 
  -3 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + a^4 - 5*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1391] -> -2 + a^(-10) - 6/a^8 + 13/a^6 - 15/a^4 + 
   10/a^2 - 5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (35*z^2)/a^4 + 
   (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1392] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1393] -> 
  -2 + 2/a^6 - 6/a^4 + 7/a^2 - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 1394] -> 
  1 - a^(-12) + 2/a^10 - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1395] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 4/a^2 - 3*a^2 + 
   2*a^4 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1396] -> 
  2 + a^(-6) - 2/a^2 - a^4 + a^6 + 2*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 1397] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 1398] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1399] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^2 - a^4 + 
   a^6 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   3*a^4*z^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - z^6/a^2, Knot[15, Alternating, 1400] -> 
  -7 - 2/a^8 + 8/a^6 - 14/a^4 + 14/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + 
   (13*z^2)/a^6 - (30*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1401] -> -2 + a^(-10) - 6/a^8 + 13/a^6 - 15/a^4 + 
   10/a^2 - 5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (35*z^2)/a^4 + 
   (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1402] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1403] -> -2 + a^(-10) - 6/a^8 + 11/a^6 - 
   11/a^4 + 8/a^2 - 5*z^2 + z^2/a^10 - (7*z^2)/a^8 + (20*z^2)/a^6 - 
   (25*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + (9*z^4)/a^6 - (24*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1404] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^10 + 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1405] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 8/a^4 + 4/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (18*z^2)/a^8 + (23*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1406] -> -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 
   27*z^2 - (2*z^2)/a^4 + (14*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 26*z^4 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + 
   (4*z^6)/a^4 - (7*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1407] -> 
  2 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^2 + 3*z^2 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1408] -> -4 - a^(-6) + a^(-4) + 2/a^2 + 
   5*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^4 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1409] -> -14 - 2/a^4 + 9/a^2 + 13*a^2 - 7*a^4 + 
   2*a^6 - 35*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 31*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 35*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 31*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1410] -> -10 - a^(-8) + 6/a^6 - 12/a^4 + 14/a^2 + 
   4*a^2 - 21*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (32*z^2)/a^4 + 
   (33*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (33*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 1411] -> -15 + a^(-6) - 6/a^4 + 14/a^2 + 
   9*a^2 - 2*a^4 - 36*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (35*z^2)/a^2 + 
   17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + 
   (37*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1412] -> 8 + 3/a^4 - 7/a^2 - 5*a^2 + 2*a^4 + 12*z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   9*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1413] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 4/a^2 - 3*a^2 + 
   2*a^4 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1414] -> 
  -7 - 2/a^8 + 8/a^6 - 14/a^4 + 14/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + 
   (13*z^2)/a^6 - (30*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1415] -> -2 + a^(-10) - 6/a^8 + 13/a^6 - 15/a^4 + 
   10/a^2 - 5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (35*z^2)/a^4 + 
   (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1416] -> 
  -4 + 17*a^2 - 26*a^4 + 23*a^6 - 11*a^8 + 2*a^10 - 9*z^2 + 38*a^2*z^2 - 
   55*a^4*z^2 + 41*a^6*z^2 - 13*a^8*z^2 + a^10*z^2 - 8*z^4 + 36*a^2*z^4 - 
   48*a^4*z^4 + 26*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 19*a^2*z^6 - 21*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1417] -> 1 - a^(-12) + 5/a^10 - 11/a^8 + 13/a^6 - 
   8/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + 
   (29*z^2)/a^6 - (17*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (19*z^4)/a^8 + (25*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1418] -> -1 + a^(-10) - 6/a^8 + 15/a^6 - 18/a^4 + 
   10/a^2 - 3*z^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (36*z^2)/a^6 - 
   (42*z^2)/a^4 + (20*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (33*z^4)/a^6 - (40*z^4)/a^4 + (18*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (20*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 1419] -> 
  -1 + 10*a^2 - 18*a^4 + 15*a^6 - 6*a^8 + a^10 - 7*z^2 + 28*a^2*z^2 - 
   43*a^4*z^2 + 29*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 8*z^4 + 32*a^2*z^4 - 
   41*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 19*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1420] -> -6 - 2/a^8 + 9/a^6 - 17/a^4 + 16/a^2 + a^2 - 
   16*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (39*z^2)/a^4 + (37*z^2)/a^2 + 
   3*a^2*z^2 - 17*z^4 - z^4/a^8 + (13*z^4)/a^6 - (36*z^4)/a^4 + 
   (36*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1421] -> 1 + 2/a^10 - 10/a^8 + 16/a^6 - 10/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (20*z^2)/a^8 + (33*z^2)/a^6 - 
   (19*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (27*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1422] -> -4 + 15*a^2 - 18*a^4 + 11*a^6 - 3*a^8 - 
   15*z^2 + (2*z^2)/a^2 + 39*a^2*z^2 - 39*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 39*a^2*z^4 - 34*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1423] -> 
  -6 + a^(-2) + 16*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 23*z^2 + (5*z^2)/a^2 + 
   42*a^2*z^2 - 34*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 29*z^4 + (7*z^4)/a^2 + 
   42*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1424] -> -7 + 2/a^2 + 14*a^2 - 15*a^4 + 10*a^6 - 
   3*a^8 - 20*z^2 + (5*z^2)/a^2 + 35*a^2*z^2 - 35*a^4*z^2 + 19*a^6*z^2 - 
   3*a^8*z^2 - 21*z^4 + (4*z^4)/a^2 + 35*a^2*z^4 - 33*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 10*z^6 + z^6/a^2 + 19*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1425] -> 
  4*a^2 - 11*a^4 + 15*a^6 - 8*a^8 + a^10 + 12*a^2*z^2 - 32*a^4*z^2 + 
   31*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 + 13*a^2*z^4 - 37*a^4*z^4 + 
   18*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 6*a^2*z^6 - 22*a^4*z^6 - a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1426] -> 
  8*a^2 - 17*a^4 + 16*a^6 - 8*a^8 + 2*a^10 - 4*z^2 + 20*a^2*z^2 - 
   40*a^4*z^2 + 34*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   38*a^4*z^4 + 31*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 
   19*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 1427] -> a^(-10) - 8/a^8 + 15/a^6 - 
   11/a^4 + 4/a^2 - z^2/a^12 + (3*z^2)/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - 
   (24*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^8 + (24*z^4)/a^6 - (23*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 1428] -> -9 + 2/a^6 - 7/a^4 + 11/a^2 + 
   5*a^2 - a^4 - 28*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 33*z^4 + z^4/a^6 - (9*z^4)/a^4 + (27*z^4)/a^2 + 
   19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1429] -> -9 + 2/a^6 - 7/a^4 + 11/a^2 + 5*a^2 - a^4 - 
   28*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 33*z^4 + z^4/a^6 - (9*z^4)/a^4 + (27*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1430] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1431] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   13*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 1432] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1433] -> -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 
   15*z^2 + (3*z^2)/a^2 + 26*a^2*z^2 - 24*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1434] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 18*z^2 + (4*z^2)/a^2 + 
   28*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 21*z^4 + (5*z^4)/a^2 + 
   30*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1435] -> -11 + a^(-6) - 4/a^4 + 9/a^2 + 8*a^2 - 
   2*a^4 - 31*z^2 + z^2/a^6 - (9*z^2)/a^4 + (23*z^2)/a^2 + 20*a^2*z^2 - 
   5*a^4*z^2 - 35*z^4 + z^4/a^6 - (7*z^4)/a^4 + (25*z^4)/a^2 + 21*a^2*z^4 - 
   3*a^4*z^4 - 21*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1436] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 + 9*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 + 
   4*a^8*z^2 - 3*a^10*z^2 + 8*a^2*z^4 - 21*a^4*z^4 + a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1437] -> 5*a^2 - 10*a^4 + 11*a^6 - 7*a^8 + 2*a^10 - 
   z^2 + 11*a^2*z^2 - 28*a^4*z^2 + 30*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 13*a^2*z^4 - 33*a^4*z^4 + 31*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 19*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 1438] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   26*a^2*z^2 - 24*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   28*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1439] -> -1 + 7*a^2 - 11*a^4 + 10*a^6 - 
   5*a^8 + a^10 - 4*z^2 + 16*a^2*z^2 - 24*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - 3*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 10*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1440] -> 
  -6 + 2/a^2 + 10*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 15*z^2 + (4*z^2)/a^2 + 
   23*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1441] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1442] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 30*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (24*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 35*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (25*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1443] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 1444] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 31*z^2 - (4*z^2)/a^4 + 
   (19*z^2)/a^2 + 25*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 36*z^4 - (6*z^4)/a^4 + 
   (25*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1445] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - 12*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 26*a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 - 25*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1446] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 5*a^2*z^2 - 12*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 18*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1447] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1448] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 22*a^2*z^4 - 22*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1449] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1450] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 5*a^2*z^4 - 
   12*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1451] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1452] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1453] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1454] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 4*z^4 - (2*z^4)/a^2 + 
   12*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 6*z^6 - (4*z^6)/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 1455] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + 
   a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1456] -> 5*a^4 - 10*a^6 + 10*a^8 - 4*a^10 + 
   21*a^4*z^2 - 51*a^6*z^2 + 49*a^8*z^2 - 14*a^10*z^2 + 31*a^4*z^4 - 
   93*a^6*z^4 + 76*a^8*z^4 - 16*a^10*z^4 + 23*a^4*z^6 - 83*a^6*z^6 + 
   53*a^8*z^6 - 7*a^10*z^6 + 8*a^4*z^8 - 40*a^6*z^8 + 17*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 1457] -> a^2 + 2*a^4 - 6*a^6 + 7*a^8 - 3*a^10 + 
   6*a^2*z^2 - 3*a^4*z^2 - 15*a^6*z^2 + 23*a^8*z^2 - 7*a^10*z^2 + 8*a^2*z^4 - 
   13*a^4*z^4 - 19*a^6*z^4 + 25*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   13*a^4*z^6 - 14*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1458] -> 2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 
   7*a^2*z^2 - 10*a^4*z^2 - 3*a^6*z^2 + 14*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 
   19*a^4*z^4 - 7*a^6*z^4 + 18*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 9*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1459] -> 2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 
   2*z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 
   11*a^4*z^4 - a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1460] -> 3*a^2 - 4*a^4 + 2*a^6 + a^8 - a^10 + 
   7*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 + 8*a^2*z^4 - 
   18*a^4*z^4 - 5*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   14*a^4*z^6 - 8*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1461] -> 1 - a^6 + 2*a^8 - a^10 + 2*z^2 - a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1462] -> -4/a^10 + 10/a^8 - 10/a^6 + 5/a^4 - 
   (15*z^2)/a^10 + (50*z^2)/a^8 - (50*z^2)/a^6 + (20*z^2)/a^4 - 
   (26*z^4)/a^10 + (87*z^4)/a^8 - (82*z^4)/a^6 + (21*z^4)/a^4 - 
   (22*z^6)/a^10 + (78*z^6)/a^8 - (58*z^6)/a^6 + (8*z^6)/a^4 - (8*z^8)/a^10 + 
   (39*z^8)/a^8 - (18*z^8)/a^6 + z^8/a^4 - z^10/a^10 + (10*z^10)/a^8 - 
   (2*z^10)/a^6 + z^12/a^8, Knot[15, Alternating, 1463] -> 
  -3/a^10 + 7/a^8 - 6/a^6 + 2/a^4 + a^(-2) - (8*z^2)/a^10 + (24*z^2)/a^8 - 
   (14*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - (11*z^4)/a^10 + (29*z^4)/a^8 - 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^10 + (19*z^6)/a^8 + 
   (4*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (7*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1464] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   (6*z^2)/a^10 + (15*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (8*z^4)/a^10 + (19*z^4)/a^8 + (2*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1465] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 + 
   2*z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1466] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - 
   (5*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   (8*z^4)/a^10 + (18*z^4)/a^8 + (3*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1467] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1468] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 + z^4/a^6 - 
   (15*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1469] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1470] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (3*z^4)/a^4 + z^4/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 1471] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1472] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1473] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 7*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 1474] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1475] -> 1 - a^2 + 3*a^4 - 5*a^6 + 5*a^8 - 2*a^10 + 
   3*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 7*a^2*z^4 + a^4*z^4 - 8*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1476] -> 1 - 2/a^10 + 5/a^8 - 5/a^6 + 
   3/a^4 - a^(-2) + 3*z^2 - (4*z^2)/a^10 + (12*z^2)/a^8 - (8*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (10*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1477] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1478] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) - (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 1479] -> 3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 
   5*z^2 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1480] -> 2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 3*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1481] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 8*a^2*z^2 - 
   19*a^4*z^2 + 13*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 24*a^4*z^4 + 
   7*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 3*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1482] -> 
  2 - 3*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - a^10 + 3*z^2 - 8*a^2*z^2 + 8*a^4*z^2 - 
   8*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 - 
   6*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1483] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^10 + (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (8*z^4)/a^8 + 
   (14*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1484] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1485] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   31*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 25*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   36*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 1486] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 
   z^2 - (2*z^2)/a^10 - z^2/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (17*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   z^6/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1487] -> 
  -2 - 3/a^8 + 8/a^6 - 10/a^4 + 8/a^2 - 5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (17*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1488] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1489] -> -9 + 4/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 
   15*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 3*z^4 - 
   (3*z^4)/a^2 + 14*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 1490] -> 
  -2 - 3/a^8 + 8/a^6 - 10/a^4 + 8/a^2 - 5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (17*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1491] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 - (2*z^2)/a^10 - z^2/a^8 + 
   (16*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (17*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1492] -> -1 + a^(-6) - a^(-4) + a^(-2) + 
   a^2 - a^4 + a^6 - z^2 - (2*z^2)/a^4 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   2*z^4 - z^4/a^6 + (2*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 1493] -> 
  -1 + a^(-2) + a^2 + a^4 - 3*a^6 + 3*a^8 - a^10 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - 2*z^4 + z^4/a^2 - 
   2*a^6*z^4 + 2*a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 1494] -> -1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + z^4/a^2 + z^6/a^8 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 1495] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1496] -> 
  -4 + 2/a^2 + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 13*z^2 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1497] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + 
   a^4 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 1498] -> 
  3*a^2 - 4*a^4 + 2*a^6 + a^8 - a^10 + 2*z^2 + a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1499] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1500] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1501] -> 
  a^(-4) - a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1502] -> 1 + a^(-8) - a^(-6) - a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 1503] -> 
  1 - a^6 + 2*a^8 - a^10 + z^2/a^2 - 2*a^2*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + 
   z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 1504] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1505] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1506] -> 
  -2 + a^(-2) + 4*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 10*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1507] -> 2 + a^(-10) - 2/a^8 + 3/a^4 - 
   3/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1508] -> 
  -a^(-12) + 5/a^10 - 11/a^8 + 13/a^6 - 9/a^4 + 4/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (21*z^2)/a^8 + (27*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + 
   (2*z^4)/a^10 - (13*z^4)/a^8 + (21*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + z^6/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1509] -> -6 - 2/a^8 + 8/a^6 - 13/a^4 + 12/a^2 + 
   2*a^2 - 17*z^2 - z^2/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1510] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 3*z^2 + 
   (4*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 - (8*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1511] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 
   11*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 1512] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + z^2 + 
   3*a^2*z^2 - 15*a^4*z^2 + 21*a^6*z^2 - 7*a^8*z^2 + 6*z^4 - 6*a^2*z^4 - 
   17*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 11*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 1513] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 4*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 1514] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 7*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 1515] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^10 + (14*z^2)/a^6 - (22*z^2)/a^4 + 
   (10*z^2)/a^2 - (6*z^4)/a^10 + (7*z^4)/a^8 + (14*z^4)/a^6 - (27*z^4)/a^4 + 
   (6*z^4)/a^2 - (5*z^6)/a^10 + (11*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 1516] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - z^2/a^10 + z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1517] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1518] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 12*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1519] -> -2 + a^(-10) - 6/a^8 + 12/a^6 - 13/a^4 + 
   9/a^2 - 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (23*z^2)/a^6 - (29*z^2)/a^4 + 
   (21*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1520] -> 
  4 - 2/a^6 + 5/a^4 - 5/a^2 - a^2 + 8*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (10*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1521] -> -4 + 2/a^2 + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   13*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1522] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 21*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1523] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^10 + 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1524] -> 
  -5 + 2/a^2 + 8*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1525] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   2*a^6 - a^8 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1526] -> 4 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 2*a^2 + 
   a^4 + 5*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1527] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + z^2 + 
   5*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 2*z^4 + 
   2*a^2*z^4 - 19*a^4*z^4 + 12*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1528] -> -4 - a^(-10) + 3/a^8 - 2/a^6 - 
   2/a^4 + 5/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^8 + z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 1529] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 - 2*a^2*z^4 + 
   z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 1530] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - z^2 - a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^4 - a^2*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 1531] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 1532] -> -9 + a^(-6) - 4/a^4 + 8/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1533] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (20*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (24*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1534] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1535] -> 
  -2 + a^(-2) + 4*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 10*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1536] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - 
   a^8 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1537] -> 
  -1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (16*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1538] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^10 + z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1539] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 21*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 1540] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 3*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1541] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 1542] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1543] -> -1 + a^(-10) - 2/a^8 + a^(-6) + a^(-2) + 
   a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^6 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 1544] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1545] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 30*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (24*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 35*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (25*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1546] -> 
  -11 + a^(-6) - 4/a^4 + 9/a^2 + 8*a^2 - 2*a^4 - 31*z^2 + z^2/a^6 - 
   (9*z^2)/a^4 + (23*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 35*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (25*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1547] -> 
  -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 12*z^2 + (2*z^2)/a^2 + 
   26*a^2*z^2 - 26*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   28*a^2*z^4 - 25*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 1548] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   4*z^2 + 14*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   z^4/a^2 + 22*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1549] -> 
  -9 + a^(-6) - 4/a^4 + 8/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1550] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 2/a^4 + 2*z^2 + (5*z^2)/a^10 - 
   (12*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1551] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   23*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1552] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + z^2 + 5*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 
   2*a^8*z^2 - a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 19*a^4*z^4 + 12*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1553] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1554] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 1555] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 3*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1556] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1557] -> 
  2 - a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + 2/a^4 - 3/a^2 + 3*z^2 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 - z^4/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1558] -> 
  5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 1559] -> 
  -1 + a^(-8) - 3/a^6 + 3/a^4 + a^2 - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^6 - z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1560] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 1561] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1562] -> 
  a^(-4) - a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1563] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 1564] -> -2/a^12 + 7/a^10 - 12/a^8 + 12/a^6 - 7/a^4 + 
   3/a^2 - z^2/a^12 + (12*z^2)/a^10 - (24*z^2)/a^8 + (26*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 + (3*z^4)/a^10 - (16*z^4)/a^8 + (19*z^4)/a^6 - 
   (20*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (10*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 1565] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 
   2/a^6 + a^(-4) - a^(-2) + 2*z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1566] -> 2 - a^(-10) + 4/a^8 - 8/a^6 + 9/a^4 - 5/a^2 + 
   3*z^2 + (6*z^2)/a^8 - (14*z^2)/a^6 + (15*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   z^4/a^10 + (3*z^4)/a^8 - (10*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 - z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 1567] -> 
  -14 - 3/a^4 + 10/a^2 + 12*a^2 - 4*a^4 - 31*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 28*a^2*z^2 - 8*a^4*z^2 - 28*z^4 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + (4*z^6)/a^4 - 
   (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1568] -> 
  -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1569] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 1570] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 8*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   10*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 1571] -> 1 - a^2 + 2*a^4 - a^6 - a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 1572] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 1573] -> 
  -2/a^12 + 7/a^10 - 12/a^8 + 12/a^6 - 7/a^4 + 3/a^2 - z^2/a^12 + 
   (12*z^2)/a^10 - (24*z^2)/a^8 + (26*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 
   (3*z^4)/a^10 - (16*z^4)/a^8 + (19*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1574] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - a^(-2) + 2*z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1575] -> -3 - 4/a^8 + 11/a^6 - 14/a^4 + 11/a^2 - 
   7*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (31*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (29*z^4)/a^4 + (26*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (6*z^6)/a^6 - (16*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1576] -> 2 - 2/a^8 + 4/a^6 - 3/a^4 + a^(-2) - a^2 + 
   5*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1577] -> 2/a^10 - 8/a^8 + 14/a^6 - 13/a^4 + 6/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (30*z^2)/a^6 - (31*z^2)/a^4 + (11*z^2)/a^2 - 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (26*z^4)/a^6 - (30*z^4)/a^4 + (6*z^4)/a^2 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1578] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1579] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1580] -> 3 + a^(-8) - 3/a^6 + 5/a^4 - 5/a^2 + 4*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - (11*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 - (4*z^4)/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 1581] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 2*z^2 - z^2/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 + z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1582] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1583] -> -5 + 2/a^2 + 8*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 
   13*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1584] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 5*a^2*z^2 - 12*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 18*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1585] -> 
  -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (23*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (24*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1586] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1587] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 
   2/a^4 + 2*z^2 + (5*z^2)/a^10 - (12*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + 
   z^4 - (9*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1588] -> 
  -6 + 2/a^2 + 11*a^2 - 10*a^4 + 5*a^6 - a^8 - 18*z^2 + (4*z^2)/a^2 + 
   28*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 21*z^4 + (5*z^4)/a^2 + 
   30*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1589] -> 5 + a^(-4) - 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 
   8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 1590] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^6 - a^8 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 1591] -> 
  4 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 2*a^2 + a^4 + 5*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1592] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - (6*z^2)/a^8 + 
   (17*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (17*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1593] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 9*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   z^4/a^6 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1594] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1595] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1596] -> -6 + 2/a^2 + 10*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   15*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1597] -> 
  -3 - 4/a^8 + 11/a^6 - 14/a^4 + 11/a^2 - 7*z^2 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (31*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (29*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1598] -> 2 - 2/a^8 + 4/a^6 - 3/a^4 + a^(-2) - a^2 + 
   5*z^2 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1599] -> -4 + 2/a^10 - 11/a^8 + 22/a^6 - 24/a^4 + 
   16/a^2 - 8*z^2 + z^2/a^10 - (12*z^2)/a^8 + (37*z^2)/a^6 - (48*z^2)/a^4 + 
   (34*z^2)/a^2 - 5*z^4 - z^4/a^8 + (19*z^4)/a^6 - (40*z^4)/a^4 + 
   (29*z^4)/a^2 - z^6 + (3*z^6)/a^8 - z^6/a^6 - (19*z^6)/a^4 + (12*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1600] -> 7 - 3/a^6 + 8/a^4 - 9/a^2 - 2*a^2 + 12*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (12*z^2)/a^4 - (15*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1601] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 
   9/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1602] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   23*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1603] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 12*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1604] -> -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 
   4*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 2*z^4 + z^4/a^8 - (2*z^4)/a^6 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[15, Alternating, 1605] -> 
  -a^(-12) + 5/a^10 - 11/a^8 + 13/a^6 - 9/a^4 + 4/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (21*z^2)/a^8 + (27*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + 
   (2*z^4)/a^10 - (13*z^4)/a^8 + (21*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + z^6/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1606] -> -2 + a^(-10) - 6/a^8 + 12/a^6 - 13/a^4 + 
   9/a^2 - 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (23*z^2)/a^6 - (29*z^2)/a^4 + 
   (21*z^2)/a^2 - 4*z^4 - z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1607] -> 
  2 - a^(-10) + 4/a^8 - 8/a^6 + 9/a^4 - 5/a^2 + 3*z^2 + (6*z^2)/a^8 - 
   (14*z^2)/a^6 + (15*z^2)/a^4 - (9*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 - 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1608] -> -6 - 2/a^8 + 8/a^6 - 13/a^4 + 12/a^2 + 
   2*a^2 - 17*z^2 - z^2/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1609] -> -14 - 3/a^4 + 10/a^2 + 12*a^2 - 4*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 28*a^2*z^2 - 8*a^4*z^2 - 28*z^4 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + 
   (4*z^6)/a^4 - (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 1610] -> 
  -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1611] -> 2/a^10 - 8/a^8 + 14/a^6 - 13/a^4 + 6/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (30*z^2)/a^6 - (31*z^2)/a^4 + (11*z^2)/a^2 - 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (26*z^4)/a^6 - (30*z^4)/a^4 + (6*z^4)/a^2 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1612] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1613] -> 
  2 - a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + 2/a^4 - 3/a^2 + 3*z^2 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 - z^4/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1614] -> 
  7 - 3/a^6 + 8/a^4 - 9/a^2 - 2*a^2 + 12*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (12*z^2)/a^4 - (15*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1615] -> -4 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 
   5/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^8 + z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 1616] -> 
  4 + 2/a^8 - 6/a^6 + 9/a^4 - 8/a^2 + 4*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (10*z^2)/a^6 + (14*z^2)/a^4 - (14*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 + (9*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1617] -> -4 + 2/a^10 - 11/a^8 + 22/a^6 - 
   24/a^4 + 16/a^2 - 8*z^2 + z^2/a^10 - (12*z^2)/a^8 + (37*z^2)/a^6 - 
   (48*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 - z^4/a^8 + (19*z^4)/a^6 - 
   (40*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (3*z^6)/a^8 - z^6/a^6 - (19*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1618] -> 
  -4 + 2/a^10 - 11/a^8 + 22/a^6 - 24/a^4 + 16/a^2 - 8*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (37*z^2)/a^6 - (48*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (19*z^4)/a^6 - (40*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   z^6/a^6 - (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1619] -> -a^(-12) + 7/a^10 - 18/a^8 + 25/a^6 - 
   20/a^4 + 8/a^2 - z^2/a^12 + (9*z^2)/a^10 - (30*z^2)/a^8 + (48*z^2)/a^6 - 
   (40*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (16*z^4)/a^8 + (38*z^4)/a^6 - 
   (33*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^10 + z^6/a^8 + (18*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 1620] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 5*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[15, Alternating, 1621] -> 1 + a^(-8) - a^(-6) - a^2 + a^4 - 
   z^2/a^10 + z^2/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + z^4 + 
   z^4/a^8 + z^4/a^6 + z^4/a^4 + z^4/a^2, Knot[15, Alternating, 1622] -> 
  -10 - a^(-4) + 5/a^2 + 14*a^2 - 10*a^4 + 3*a^6 - 27*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 33*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 34*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1623] -> 
  -1 + a^(-10) - 6/a^8 + 13/a^6 - 14/a^4 + 8/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (28*z^2)/a^6 - (37*z^2)/a^4 + (23*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (39*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1624] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 20*a^2*z^2 - 18*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 19*a^4*z^4 - 8*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 10*a^2*z^6 - 12*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1625] -> 4 - a^(-2) - 5*a^2 + 6*a^4 - 4*a^6 + a^8 + 
   8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 9*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1626] -> -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 11*z^2 + 
   (4*z^2)/a^8 - (17*z^2)/a^6 + (10*z^2)/a^4 + (20*z^2)/a^2 - 11*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (15*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1627] -> -2 + a^(-6) - 4/a^4 + 4/a^2 + 5*a^2 - 3*a^4 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1628] -> 
  -2*a^4 + 3*a^6 + 10*a^8 - 15*a^10 + 5*a^12 - 7*a^4*z^2 + 9*a^6*z^2 + 
   36*a^8*z^2 - 38*a^10*z^2 + 8*a^12*z^2 - 9*a^4*z^4 + 12*a^6*z^4 + 
   50*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 1629] -> 
  -a^2 + 2*a^4 + 6*a^8 - 9*a^10 + 3*a^12 - 3*a^2*z^2 + 5*a^4*z^2 + 
   3*a^6*z^2 + 16*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 7*a^6*z^4 + 16*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 1630] -> -12 + a^(-6) - 6/a^4 + 12/a^2 + 
   9*a^2 - 3*a^4 - 31*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 
   22*a^2*z^2 - 6*a^4*z^2 - 33*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1631] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1632] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - z^2 - z^2/a^2 + 17*a^2*z^2 - 
   21*a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 11*a^2*z^4 - 
   22*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 11*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1633] -> -a^4 - 2*a^6 + 18*a^8 - 20*a^10 + 6*a^12 - 
   5*a^4*z^2 - 2*a^6*z^2 + 54*a^8*z^2 - 47*a^10*z^2 + 9*a^12*z^2 - 
   8*a^4*z^4 + 4*a^6*z^4 + 65*a^8*z^4 - 42*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 8*a^6*z^6 + 41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 1634] -> -3*a^4 + 8*a^6 + a^8 - 8*a^10 + 3*a^12 - 
   a^2*z^2 - 6*a^4*z^2 + 21*a^6*z^2 + 7*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 22*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 1635] -> 
  5/a^8 - 22/a^6 + 28/a^4 - 10/a^2 + (13*z^2)/a^8 - (66*z^2)/a^6 + 
   (95*z^2)/a^4 - (34*z^2)/a^2 + (13*z^4)/a^8 - (82*z^4)/a^6 + 
   (134*z^4)/a^4 - (43*z^4)/a^2 + (6*z^6)/a^8 - (51*z^6)/a^6 + 
   (101*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 1636] -> -3 + 3/a^8 - 12/a^6 + 11/a^4 + 2/a^2 - 
   10*z^2 + (6*z^2)/a^8 - (28*z^2)/a^6 + (28*z^2)/a^4 + (11*z^2)/a^2 - 
   11*z^4 + (4*z^4)/a^8 - (26*z^4)/a^6 + (30*z^4)/a^4 + (20*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (11*z^6)/a^6 + (18*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1637] -> -1 + 4*a^2 - 8*a^4 + 15*a^6 - 12*a^8 + 
   3*a^10 - 3*z^2 + 13*a^2*z^2 - 25*a^4*z^2 + 38*a^6*z^2 - 21*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 16*a^2*z^4 - 30*a^4*z^4 + 36*a^6*z^4 - 13*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 1638] -> -6 + a^(-8) - 2/a^6 - 6/a^4 + 14/a^2 - 
   15*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 - (6*z^2)/a^4 + (34*z^2)/a^2 - 
   14*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + (4*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1639] -> 6 + a^(-8) - 4/a^6 + 4/a^4 - 3/a^2 - 3*a^2 + 
   12*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - 
   6*a^2*z^2 + 11*z^4 + z^4/a^8 - (7*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 1640] -> 
  -8 - a^(-6) + 3/a^4 + a^(-2) + 10*a^2 - 6*a^4 + 2*a^6 - 15*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 1641] -> -13 + a^(-6) - 6/a^4 + 13/a^2 + 8*a^2 - 
   2*a^4 - 34*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (31*z^2)/a^2 + 19*a^2*z^2 - 
   4*a^4*z^2 - 36*z^4 + z^4/a^6 - (10*z^4)/a^4 + (30*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1642] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) - z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (21*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (28*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1643] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 1644] -> -10 - a^(-8) + 5/a^6 - 10/a^4 + 
   13/a^2 + 4*a^2 - 24*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + 
   (32*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (34*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1645] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 1646] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) - z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (21*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (28*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1647] -> 
  -2 + a^(-6) - 4/a^4 + 4/a^2 + 5*a^2 - 3*a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1648] -> 
  -2*a^4 + 3*a^6 + 10*a^8 - 15*a^10 + 5*a^12 - 7*a^4*z^2 + 9*a^6*z^2 + 
   36*a^8*z^2 - 38*a^10*z^2 + 8*a^12*z^2 - 9*a^4*z^4 + 12*a^6*z^4 + 
   50*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 1649] -> 
  -10 - a^(-8) + 5/a^6 - 10/a^4 + 13/a^2 + 4*a^2 - 28*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (24*z^2)/a^4 + (35*z^2)/a^2 + 7*a^2*z^2 - 31*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (37*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 1650] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - a^4 - 
   33*z^2 + z^2/a^6 - (8*z^2)/a^4 + (24*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   35*z^4 + z^4/a^6 - (8*z^4)/a^4 + (26*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 
   20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1651] -> 
  -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 5*z^2 + 18*a^2*z^2 - 9*a^4*z^2 - 
   10*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 12*a^4*z^4 - 19*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1652] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   16*z^2 - z^2/a^8 + (9*z^2)/a^6 - (27*z^2)/a^4 + (32*z^2)/a^2 + 3*a^2*z^2 - 
   24*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (37*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 1653] -> -5 + a^(-2) + 6*a^2 + 2*a^4 - 3*a^6 - 
   15*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 + 12*a^4*z^4 - 7*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1654] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 5*z^2 + 17*a^2*z^2 - 9*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 14*a^4*z^4 - 10*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1655] -> 2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 
   5*z^4 - z^4/a^2 + 2*a^2*z^4 - 13*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1656] -> -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 
   11*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (3*z^2)/a^4 + (22*z^2)/a^2 - 
   11*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + (11*z^4)/a^4 + (26*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1657] -> -8 + a^(-6) - 6/a^4 + 11/a^2 + 4*a^2 - a^4 - 
   26*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (28*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 31*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1658] -> 
  -9 - a^(-4) + 5/a^2 + 10*a^2 - 5*a^4 + a^6 - 26*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 28*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 32*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1659] -> 
  -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 4*z^2 + 12*a^2*z^2 + 3*a^4*z^2 - 
   18*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 6*a^4*z^4 - 24*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1660] -> -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - z^2/a^2 + 
   12*a^2*z^2 - 11*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 13*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1661] -> -6 - a^(-4) + 4/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 
   22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 26*a^2*z^2 - 21*a^4*z^2 + 
   6*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1662] -> 
  -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 9*z^2 + z^2/a^2 + 24*a^2*z^2 - 
   21*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   13*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 11*a^2*z^6 - 2*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 1663] -> 3 - a^(-2) - a^2 + a^4 - 2*a^6 + a^8 + 
   6*z^2 - (2*z^2)/a^2 - 3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 8*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1664] -> -1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 
   6/a^2 - 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (23*z^2)/a^6 - (30*z^2)/a^4 + 
   (21*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (35*z^4)/a^4 + 
   (27*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1665] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 25*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 1666] -> -2*a^4 + 4*a^6 + 6*a^8 - 
   10*a^10 + 3*a^12 - 7*a^4*z^2 + 10*a^6*z^2 + 31*a^8*z^2 - 31*a^10*z^2 + 
   6*a^12*z^2 - 9*a^4*z^4 + 12*a^6*z^4 + 48*a^8*z^4 - 33*a^10*z^4 + 
   4*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 35*a^8*z^6 - 16*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 
   2*a^8*z^10, Knot[15, Alternating, 1667] -> 4/a^8 - 18/a^6 + 23/a^4 - 
   8/a^2 + (12*z^2)/a^8 - (61*z^2)/a^6 + (88*z^2)/a^4 - (32*z^2)/a^2 + 
   (13*z^4)/a^8 - (80*z^4)/a^6 + (130*z^4)/a^4 - (42*z^4)/a^2 + (6*z^6)/a^8 - 
   (51*z^6)/a^6 + (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + 
   (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 1668] -> -1 + 3/a^8 - 13/a^6 + 15/a^4 - 
   3/a^2 - 8*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + (33*z^2)/a^4 + (4*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (26*z^4)/a^6 + (32*z^4)/a^4 + (16*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (11*z^6)/a^6 + (18*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1669] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   27*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 28*z^4 - z^4/a^4 + (10*z^4)/a^2 + 33*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1670] -> 
  -3 + 2/a^8 - 8/a^6 + 6/a^4 + 4/a^2 - 12*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (17*z^2)/a^4 + (18*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (23*z^4)/a^6 + 
   (21*z^4)/a^4 + (28*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (15*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1671] -> 
  -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 - 
   (3*z^2)/a^4 + (20*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 1672] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 
   17*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (27*z^2)/a^2 + 
   4*a^2*z^2 - 18*z^4 - z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + 
   (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1673] -> -9 + a^(-6) - 6/a^4 + 12/a^2 + 3*a^2 - 
   29*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (30*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 34*z^4 + z^4/a^6 - (10*z^4)/a^4 + (30*z^4)/a^2 + 15*a^2*z^4 - 
   2*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1674] -> 
  -2*a^4 + 4*a^6 + 6*a^8 - 10*a^10 + 3*a^12 - a^2*z^2 - 4*a^4*z^2 + 
   12*a^6*z^2 + 19*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 15*a^6*z^4 + 22*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 1675] -> -1 + 2*a^2 + a^4 + a^6 - 3*a^8 + 
   a^10 - 3*z^2 + 8*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 7*a^4*z^4 + a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 
   5*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1676] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + (4*z^2)/a^8 - (19*z^2)/a^6 + 
   (19*z^2)/a^4 + (8*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (19*z^4)/a^6 + 
   (22*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (14*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1677] -> 
  -2 + 8*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 10*z^2 + z^2/a^2 + 28*a^2*z^2 - 
   29*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 34*a^2*z^4 - 
   30*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1678] -> 2 - a^(-2) + 4*a^2 - 7*a^4 + 3*a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 14*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1679] -> -1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 
   6/a^2 - 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (23*z^2)/a^6 - (30*z^2)/a^4 + 
   (21*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (35*z^4)/a^4 + 
   (27*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1680] -> 
  3 - a^(-2) - a^2 + a^4 - 2*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 3*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 - 8*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 1681] -> 
  -a^2 + 2*a^4 + a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 3*a^2*z^2 + 5*a^4*z^2 + 
   5*a^6*z^2 + 10*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 8*a^6*z^4 + 12*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 1682] -> 5 + 2/a^6 - 8/a^4 + 6/a^2 - 
   4*a^2 + 14*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 - 10*a^2*z^2 + 
   20*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 - 10*a^2*z^4 + 15*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 1683] -> 
  1 + a^(-6) - 4/a^4 + 3/a^2 + 2*a^2 - 2*a^4 + 7*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1684] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + 
   (4*z^2)/a^8 - (19*z^2)/a^6 + (19*z^2)/a^4 + (8*z^2)/a^2 - 8*z^4 + 
   (3*z^4)/a^8 - (19*z^4)/a^6 + (22*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (14*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1685] -> -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 18*z^2 + 
   (3*z^2)/a^2 + 31*a^2*z^2 - 12*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   29*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1686] -> 
  -a^2 + 3*a^4 - 4*a^6 + 11*a^8 - 11*a^10 + 3*a^12 - 3*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 23*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 5*a^6*z^4 + 20*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 1687] -> -7 + a^(-6) - 5/a^4 + 8/a^2 + 
   7*a^2 - 3*a^4 - 24*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 
   20*a^2*z^2 - 6*a^4*z^2 - 29*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1688] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 1689] -> 
  -9 - 2/a^4 + 8/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 28*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 30*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 29*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1690] -> 
  -2 + a^(-10) - 6/a^8 + 14/a^6 - 17/a^4 + 11/a^2 - 7*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (29*z^2)/a^6 - (42*z^2)/a^4 + (29*z^2)/a^2 - 8*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (41*z^4)/a^4 + (32*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1691] -> 
  -15 + a^(-6) - 6/a^4 + 13/a^2 + 12*a^2 - 4*a^4 - 37*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (31*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 37*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (30*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1692] -> 
  -1 + 2*a^2 + a^4 + a^6 - 3*a^8 + a^10 - 3*z^2 + 8*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1693] -> -14 - 2/a^4 + 9/a^2 + 14*a^2 - 9*a^4 + 
   3*a^6 - 34*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 34*a^2*z^2 - 23*a^4*z^2 + 
   6*a^6*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 35*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1694] -> 
  -15 + a^(-6) - 6/a^4 + 13/a^2 + 12*a^2 - 4*a^4 - 37*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (31*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 37*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (30*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1695] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 3*a^4 + 2*a^6 + 6*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1696] -> -a^(-12) + 7/a^10 - 17/a^8 + 17/a^6 - 7/a^4 + 
   2/a^2 - z^2/a^12 + (10*z^2)/a^10 - (33*z^2)/a^8 + (44*z^2)/a^6 - 
   (23*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (23*z^4)/a^8 + (43*z^4)/a^6 - 
   (29*z^4)/a^4 + (7*z^4)/a^2 - (6*z^6)/a^8 + (20*z^6)/a^6 - (18*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1697] -> -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 18*z^2 + 
   (3*z^2)/a^2 + 31*a^2*z^2 - 12*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   29*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1698] -> 
  -4 - a^(-6) + 3/a^4 + 5*a^2 - 4*a^4 + 2*a^6 - 6*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1699] -> -14 - 2/a^4 + 9/a^2 + 14*a^2 - 9*a^4 + 
   3*a^6 - 34*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 34*a^2*z^2 - 23*a^4*z^2 + 
   6*a^6*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 35*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1700] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 18*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 16*a^4*z^4 - 6*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1701] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 1702] -> 
  3/a^8 - 14/a^6 + 18/a^4 - 6/a^2 + (10*z^2)/a^8 - (52*z^2)/a^6 + 
   (76*z^2)/a^4 - (28*z^2)/a^2 + (12*z^4)/a^8 - (73*z^4)/a^6 + 
   (119*z^4)/a^4 - (39*z^4)/a^2 + (6*z^6)/a^8 - (49*z^6)/a^6 + (95*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 1703] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   8*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (26*z^2)/a^4 + (6*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (24*z^4)/a^6 + (28*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1704] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 9*z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 + (15*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (13*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1705] -> -4*a^2 + 16*a^4 - 16*a^6 + 5*a^8 - 
   14*a^2*z^2 + 60*a^4*z^2 - 68*a^6*z^2 + 24*a^8*z^2 - 16*a^2*z^4 + 
   82*a^4*z^4 - 110*a^6*z^4 + 35*a^8*z^4 - 7*a^2*z^6 + 54*a^4*z^6 - 
   90*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 1706] -> -1 + a^2 + 8*a^4 - 11*a^6 + 4*a^8 - 4*z^2 + 
   10*a^2*z^2 + 12*a^4*z^2 - 30*a^6*z^2 + 13*a^8*z^2 - 4*z^4 + 16*a^2*z^4 + 
   a^4*z^4 - 35*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1707] -> 
  -2 + 6*a^2 - 6*a^6 + 3*a^8 - 5*z^2 + 17*a^2*z^2 - 4*a^4*z^2 - 17*a^6*z^2 + 
   9*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 10*a^4*z^4 - 23*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1708] -> -6 + a^(-2) + 10*a^2 - 3*a^4 - a^6 - 16*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 4*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 1709] -> -2 + 6*a^2 - 6*a^6 + 3*a^8 - z^2/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 11*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1710] -> -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 
   2*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 11*a^2*z^4 + 2*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 1711] -> 3 + a^(-8) - 5/a^6 + 7/a^4 - 4/a^2 - a^2 + 
   7*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 8*z^4 + z^4/a^8 - (7*z^4)/a^6 + (10*z^4)/a^4 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 1712] -> 
  3 - a^(-2) - 2*a^2 + 5*a^4 - 7*a^6 + 3*a^8 + 7*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - 14*a^6*z^2 + 6*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1713] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1714] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 9*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 - a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1715] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 
   4/a^2 - 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + (15*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 1716] -> 
  -2 + 8*a^2 - 11*a^4 + 11*a^6 - 6*a^8 + a^10 - 5*z^2 + 20*a^2*z^2 - 
   25*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   24*a^4*z^4 + 9*a^6*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 3*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 1717] -> 2/a^6 - 9/a^4 + 10/a^2 - 2*a^2 + 
   7*z^2 + (5*z^2)/a^6 - (23*z^2)/a^4 + (24*z^2)/a^2 - 8*a^2*z^2 + 16*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (26*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 1718] -> 
  5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1719] -> -3 + 11*a^2 - 8*a^4 - a^6 + 2*a^8 - 7*z^2 + 
   27*a^2*z^2 - 20*a^4*z^2 - 9*a^6*z^2 + 8*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 
   23*a^4*z^4 - 17*a^6*z^4 + 9*a^8*z^4 - z^6 + 12*a^2*z^6 - 15*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1720] -> 
  2 - a^(-2) + 3*a^2 - 3*a^4 - 2*a^6 + 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 10*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 12*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1721] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1722] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1723] -> 3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 6*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 
   9*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1724] -> -11 + 2/a^2 + 18*a^2 - 8*a^4 - 27*z^2 + 
   (5*z^2)/a^2 + 40*a^2*z^2 - 9*a^4*z^2 - 3*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 
   37*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1725] -> 
  7 + a^(-4) - 5/a^2 - 3*a^2 + 3*a^4 - 2*a^6 + 13*z^2 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 10*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 + 8*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 1726] -> -11 + 2/a^2 + 18*a^2 - 8*a^4 - 27*z^2 + 
   (5*z^2)/a^2 + 40*a^2*z^2 - 9*a^4*z^2 - 3*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 
   37*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1727] -> 
  -4 + 16*a^2 - 16*a^4 + 4*a^6 + a^8 - 8*z^2 + 34*a^2*z^2 - 36*a^4*z^2 + 
   4*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 29*a^2*z^4 - 34*a^4*z^4 - 5*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 12*a^2*z^6 - 18*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1728] -> 7 - 2/a^2 - 5*a^2 + 2*a^4 - 3*a^6 + 2*a^8 + 
   12*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 9*a^2*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1729] -> -1 - a^(-4) + 3/a^2 + a^4 - 3*a^6 + 2*a^8 - 
   3*z^2 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6 - a^6*z^6, Knot[15, Alternating, 1730] -> 
  -1 + 4*a^2 - 8*a^4 + 15*a^6 - 12*a^8 + 3*a^10 - 3*z^2 + 13*a^2*z^2 - 
   25*a^4*z^2 + 38*a^6*z^2 - 21*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 16*a^2*z^4 - 
   30*a^4*z^4 + 36*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 
   18*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 1731] -> -13 + a^(-6) - 6/a^4 + 13/a^2 + 
   8*a^2 - 2*a^4 - 34*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (31*z^2)/a^2 + 
   19*a^2*z^2 - 4*a^4*z^2 - 36*z^4 + z^4/a^6 - (10*z^4)/a^4 + (30*z^4)/a^2 + 
   19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1732] -> -1 + a^(-10) - 6/a^8 + 13/a^6 - 14/a^4 + 
   8/a^2 - 5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (28*z^2)/a^6 - (37*z^2)/a^4 + 
   (23*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - (39*z^4)/a^4 + 
   (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1733] -> 
  -6 + a^(-8) - 2/a^6 - 6/a^4 + 14/a^2 - 15*z^2 + (3*z^2)/a^8 - 
   (10*z^2)/a^6 - (6*z^2)/a^4 + (34*z^2)/a^2 - 14*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (4*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (9*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1734] -> -10 - a^(-8) + 5/a^6 - 10/a^4 + 13/a^2 + 
   4*a^2 - 24*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + 
   (32*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (34*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1735] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 5*z^2 + 20*a^2*z^2 - 18*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 19*a^4*z^4 - 8*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 10*a^2*z^6 - 12*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1736] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1737] -> 
  -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (19*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1738] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 1739] -> -5 + a^(-2) + 6*a^2 + 2*a^4 - 3*a^6 - 
   15*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 + 12*a^4*z^4 - 7*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1740] -> 
  -12 + a^(-6) - 6/a^4 + 12/a^2 + 9*a^2 - 3*a^4 - 31*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (29*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1741] -> 
  -10 - a^(-4) + 5/a^2 + 14*a^2 - 10*a^4 + 3*a^6 - 27*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 33*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 34*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1742] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 1743] -> -a^2 + 2*a^4 + a^6 + 3*a^8 - 6*a^10 + 
   2*a^12 - 3*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 + 10*a^8*z^2 - 12*a^10*z^2 + 
   2*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 + 12*a^8*z^4 - 9*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 1744] -> 
  -8 - a^(-6) + 3/a^4 + a^(-2) + 10*a^2 - 6*a^4 + 2*a^6 - 15*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 1745] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) - z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (21*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (28*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1746] -> 
  -2*a^4 + 4*a^6 + 6*a^8 - 10*a^10 + 3*a^12 - 7*a^4*z^2 + 10*a^6*z^2 + 
   31*a^8*z^2 - 31*a^10*z^2 + 6*a^12*z^2 - 9*a^4*z^4 + 12*a^6*z^4 + 
   48*a^8*z^4 - 33*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 1747] -> 
  -a^2 + 3*a^4 - 4*a^6 + 11*a^8 - 11*a^10 + 3*a^12 - 3*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 23*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 5*a^6*z^4 + 20*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 1748] -> -3 + 11*a^2 - 11*a^4 + 5*a^6 - 
   a^8 - 9*z^2 + z^2/a^2 + 24*a^2*z^2 - 21*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 2*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1749] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 5*z^2 + 17*a^2*z^2 - 9*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 14*a^4*z^4 - 10*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 1750] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 1751] -> 
  5 + 2/a^6 - 8/a^4 + 6/a^2 - 4*a^2 + 14*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (19*z^2)/a^2 - 10*a^2*z^2 + 20*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (24*z^4)/a^2 - 10*a^2*z^4 + 15*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 1752] -> 
  -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 18*z^2 + (3*z^2)/a^2 + 31*a^2*z^2 - 
   12*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1753] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 1754] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 
   7*z^2 + (4*z^2)/a^8 - (19*z^2)/a^6 + (19*z^2)/a^4 + (8*z^2)/a^2 - 8*z^4 + 
   (3*z^4)/a^8 - (19*z^4)/a^6 + (22*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (14*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1755] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) - z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (21*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (28*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1756] -> 
  -2*a^4 + 4*a^6 + 6*a^8 - 10*a^10 + 3*a^12 - a^2*z^2 - 4*a^4*z^2 + 
   12*a^6*z^2 + 19*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 15*a^6*z^4 + 22*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 1757] -> -1 + 2*a^2 + a^4 + a^6 - 3*a^8 + 
   a^10 - 3*z^2 + 8*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 7*a^4*z^4 + a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 
   5*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1758] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 25*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 1759] -> -1 + 2*a^2 + a^4 + a^6 - 3*a^8 + 
   a^10 - 3*z^2 + 8*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 7*a^4*z^4 + a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 
   5*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 1760] -> 
  -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 18*z^2 + (3*z^2)/a^2 + 31*a^2*z^2 - 
   12*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1761] -> 
  4/a^8 - 18/a^6 + 23/a^4 - 8/a^2 + (12*z^2)/a^8 - (61*z^2)/a^6 + 
   (88*z^2)/a^4 - (32*z^2)/a^2 + (13*z^4)/a^8 - (80*z^4)/a^6 + 
   (130*z^4)/a^4 - (42*z^4)/a^2 + (6*z^6)/a^8 - (51*z^6)/a^6 + 
   (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 1762] -> -1 + 3/a^8 - 13/a^6 + 15/a^4 - 3/a^2 - 
   8*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + (33*z^2)/a^4 + (4*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (26*z^4)/a^6 + (32*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (18*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1763] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - z^2 - 
   z^2/a^2 + 17*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 22*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 1764] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 
   2/a^2 - 7*z^2 + (4*z^2)/a^8 - (19*z^2)/a^6 + (19*z^2)/a^4 + (8*z^2)/a^2 - 
   8*z^4 + (3*z^4)/a^8 - (19*z^4)/a^6 + (22*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (14*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1765] -> -10 - a^(-8) + 5/a^6 - 10/a^4 + 13/a^2 + 
   4*a^2 - 28*z^2 - z^2/a^8 + (8*z^2)/a^6 - (24*z^2)/a^4 + (35*z^2)/a^2 + 
   7*a^2*z^2 - 31*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (37*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 1766] -> 
  -2 + a^(-6) - 4/a^4 + 4/a^2 + 5*a^2 - 3*a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1767] -> 
  -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 11*z^2 + (4*z^2)/a^8 - (17*z^2)/a^6 + 
   (10*z^2)/a^4 + (20*z^2)/a^2 - 11*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + 
   (15*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 1768] -> 
  -a^2 + 2*a^4 + 6*a^8 - 9*a^10 + 3*a^12 - 3*a^2*z^2 + 5*a^4*z^2 + 
   3*a^6*z^2 + 16*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 7*a^6*z^4 + 16*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 1769] -> -2*a^4 + 3*a^6 + 10*a^8 - 
   15*a^10 + 5*a^12 - 7*a^4*z^2 + 9*a^6*z^2 + 36*a^8*z^2 - 38*a^10*z^2 + 
   8*a^12*z^2 - 9*a^4*z^4 + 12*a^6*z^4 + 50*a^8*z^4 - 37*a^10*z^4 + 
   5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 35*a^8*z^6 - 17*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 
   2*a^8*z^10, Knot[15, Alternating, 1770] -> -a^4 - 2*a^6 + 18*a^8 - 
   20*a^10 + 6*a^12 - 5*a^4*z^2 - 2*a^6*z^2 + 54*a^8*z^2 - 47*a^10*z^2 + 
   9*a^12*z^2 - 8*a^4*z^4 + 4*a^6*z^4 + 65*a^8*z^4 - 42*a^10*z^4 + 
   5*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 1771] -> -3*a^4 + 8*a^6 + a^8 - 8*a^10 + 3*a^12 - 
   a^2*z^2 - 6*a^4*z^2 + 21*a^6*z^2 + 7*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 22*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 1772] -> 
  5/a^8 - 22/a^6 + 28/a^4 - 10/a^2 + (13*z^2)/a^8 - (66*z^2)/a^6 + 
   (95*z^2)/a^4 - (34*z^2)/a^2 + (13*z^4)/a^8 - (82*z^4)/a^6 + 
   (134*z^4)/a^4 - (43*z^4)/a^2 + (6*z^6)/a^8 - (51*z^6)/a^6 + 
   (101*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 1773] -> -3 + 3/a^8 - 12/a^6 + 11/a^4 + 2/a^2 - 
   10*z^2 + (6*z^2)/a^8 - (28*z^2)/a^6 + (28*z^2)/a^4 + (11*z^2)/a^2 - 
   11*z^4 + (4*z^4)/a^8 - (26*z^4)/a^6 + (30*z^4)/a^4 + (20*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (11*z^6)/a^6 + (18*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1774] -> -2 + a^(-6) - 4/a^4 + 4/a^2 + 5*a^2 - 3*a^4 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1775] -> 
  -2*a^4 + 3*a^6 + 10*a^8 - 15*a^10 + 5*a^12 - 7*a^4*z^2 + 9*a^6*z^2 + 
   36*a^8*z^2 - 38*a^10*z^2 + 8*a^12*z^2 - 9*a^4*z^4 + 12*a^6*z^4 + 
   50*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 1776] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1777] -> -2/a^18 + 9/a^16 - 10/a^14 - 3/a^12 + 
   6/a^10 + a^(-8) - z^2/a^18 + (14*z^2)/a^16 - (30*z^2)/a^14 + 
   (22*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - (28*z^4)/a^14 + 
   (13*z^4)/a^12 + (30*z^4)/a^10 + (6*z^4)/a^8 - (8*z^6)/a^14 + 
   (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 1778] -> 
  -3 + 5/a^8 - 19/a^6 + 19/a^4 - a^(-2) - 9*z^2 + (9*z^2)/a^8 - 
   (46*z^2)/a^6 + (55*z^2)/a^4 - z^2/a^2 - 10*z^4 + (5*z^4)/a^8 - 
   (43*z^4)/a^6 + (66*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (42*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1779] -> -1 + 2/a^10 - 5/a^8 - 2/a^6 + 9/a^4 - 2/a^2 - 
   3*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (2*z^2)/a^6 + (22*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + 
   (23*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 1780] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 
   6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1781] -> -2 + 4/a^8 - 16/a^6 + 17/a^4 - 2/a^2 - 
   7*z^2 + (8*z^2)/a^8 - (40*z^2)/a^6 + (49*z^2)/a^4 - (3*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (40*z^4)/a^6 + (60*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (40*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1782] -> -1 + a^(-10) - 2/a^8 - 4/a^6 + 8/a^4 - 
   a^(-2) - 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 - (4*z^2)/a^6 + (20*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (21*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 1783] -> -3/a^14 + 13/a^12 - 18/a^10 + 6/a^8 + 3/a^6 - 
   (7*z^2)/a^14 + (34*z^2)/a^12 - (48*z^2)/a^10 + (14*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^4)/a^14 + (37*z^4)/a^12 - (56*z^4)/a^10 + 
   (7*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (38*z^6)/a^10 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 1784] -> 
  -2/a^14 + 7/a^12 - 6/a^10 - 3/a^8 + 4/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (12*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (14*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1785] -> a^(-12) - 9/a^8 + 11/a^6 - a^(-4) - a^(-2) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (11*z^2)/a^8 + (27*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (26*z^4)/a^6 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1786] -> 
  -a^(-14) + a^(-12) + 6/a^10 - 12/a^8 + 5/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 + (8*z^2)/a^10 - (25*z^2)/a^8 + (9*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (24*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1787] -> 
  -a^(-14) + 2/a^12 - 4/a^6 + 3/a^4 + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - 
   z^2/a^10 - (2*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 1788] -> -2/a^18 + 9/a^16 - 10/a^14 - 3/a^12 + 
   6/a^10 + a^(-8) - z^2/a^18 + (14*z^2)/a^16 - (30*z^2)/a^14 + 
   (22*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - (28*z^4)/a^14 + 
   (13*z^4)/a^12 + (30*z^4)/a^10 + (6*z^4)/a^8 - (8*z^6)/a^14 + 
   (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 1789] -> 
  -3 + 5/a^8 - 19/a^6 + 19/a^4 - a^(-2) - 9*z^2 + (9*z^2)/a^8 - 
   (46*z^2)/a^6 + (55*z^2)/a^4 - z^2/a^2 - 10*z^4 + (5*z^4)/a^8 - 
   (43*z^4)/a^6 + (66*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (42*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1790] -> -2 - 2/a^4 + 4/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1791] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + 2*a^2 - 2*a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1792] -> 
  -3 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 6/a^2 + a^4 - 4*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (6*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^2, Knot[15, Alternating, 1793] -> 
  1 + a^(-10) - 5/a^8 + 10/a^6 - 11/a^4 + 6/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (25*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1794] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 
   9/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1795] -> 2 - a^(-12) + 4/a^10 - 8/a^8 + 11/a^6 - 
   8/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + 
   (25*z^2)/a^6 - (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (23*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1796] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   2/a^4 - 3/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 1797] -> 1 - a^(-2) + 3*a^4 - 3*a^8 + a^10 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 1798] -> -2 + 2/a^10 - 6/a^8 + 4/a^6 - a^(-4) + 
   4/a^2 - 5*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (11*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 1799] -> 1 + a^(-10) - 3/a^8 + 2/a^6 - 
   a^(-4) + 2/a^2 - a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1800] -> -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1801] -> 
  -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1802] -> 
  -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1803] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (8*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 1804] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (19*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 1805] -> 1 - a^(-10) + 6/a^6 - 8/a^4 + 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1806] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (8*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1807] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1808] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (19*z^2)/a^8 + (24*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + (24*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1809] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (22*z^2)/a^6 - (25*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1810] -> -5 - 2/a^4 + 5/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   14*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   4*a^6*z^2 - 19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1811] -> 
  -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1812] -> 
  -4 + a^(-6) - 5/a^4 + 7/a^2 + 4*a^2 - 2*a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1813] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 1814] -> -a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 1815] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 3*a^2 - 3*a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1816] -> -5 - 2/a^8 + 6/a^6 - 7/a^4 + 7/a^2 + a^2 + 
   a^4 - 14*z^2 - z^2/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (22*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 11*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (13*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 1817] -> -1 + 2/a^10 - 7/a^8 + 7/a^6 - 
   3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (19*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (23*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 1818] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1819] -> -a^(-6) + 2/a^4 - a^(-2) + 3*a^2 - 3*a^4 + 
   a^6 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1820] -> -1 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   a^(-2) + a^4 + (4*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 1821] -> -a^(-16) + 6/a^14 - 13/a^12 + 14/a^10 - 
   10/a^8 + 4/a^6 + a^(-4) + (5*z^2)/a^14 - (23*z^2)/a^12 + (37*z^2)/a^10 - 
   (28*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + 
   (33*z^4)/a^10 - (31*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (10*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1822] -> -9 + 2/a^6 - 9/a^4 + 13/a^2 + 7*a^2 - 3*a^4 - 
   22*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (29*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 22*z^4 + z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1823] -> 
  -4 - a^(-10) + 2/a^8 - 2/a^4 + 4/a^2 + a^2 + a^4 - 8*z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - 
   (6*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (3*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 1824] -> 4 + a^(-8) - 4/a^6 + 5/a^4 - 
   4/a^2 - a^4 + 7*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 1825] -> -9 + 2/a^6 - 9/a^4 + 13/a^2 + 
   7*a^2 - 3*a^4 - 22*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (29*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 + z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1826] -> 8 + a^(-6) - 4/a^4 - 3*a^2 - a^4 + 19*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   21*z^4 + z^4/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 1827] -> -2/a^18 + 10/a^16 - 14/a^14 + 
   3/a^12 + 2/a^10 + 2/a^8 - z^2/a^18 + (15*z^2)/a^16 - (37*z^2)/a^14 + 
   (14*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - 
   (31*z^4)/a^14 + (24*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^6)/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 1828] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - a^(-12) + 2/a^10 + a^(-8) + a^(-6) + 
   (5*z^2)/a^16 - (14*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (8*z^4)/a^14 + (6*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 1829] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 4/a^2 - 
   a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1830] -> 
  3/a^10 - 10/a^8 + 8/a^6 + a^(-4) - a^(-2) + z^2/a^12 - (15*z^2)/a^8 + 
   (20*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (5*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1831] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (8*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 1832] -> -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 9*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 + 5*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (23*z^4)/a^4 - (20*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - 
   (25*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 1833] -> 
  -1 - 3/a^6 + 6/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (11*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 1834] -> -6 - 3/a^4 + 8/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   18*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   24*z^4 - z^4/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 
   15*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1835] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^4 + a^6 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1836] -> 
  -12 - 4/a^4 + 12/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 30*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 30*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1837] -> 
  4 - 2/a^6 + 5/a^4 - 4/a^2 - 3*a^2 + a^6 + 7*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (10*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1838] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) - 2*a^2 + a^6 - z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 - 
   (3*z^4)/a^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 1839] -> -2/a^18 + 11/a^16 - 17/a^14 + 5/a^12 + 
   3/a^10 + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (43*z^2)/a^14 + 
   (20*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (30*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 - 
   (8*z^6)/a^14 + (19*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 1840] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 4/a^12 + 4/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (13*z^2)/a^14 - (5*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (8*z^4)/a^14 + (3*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 1841] -> 19 + 3/a^4 - 15/a^2 - 3*a^2 - 3*a^4 + 
   54*z^2 + (7*z^2)/a^4 - (41*z^2)/a^2 - a^2*z^2 - 10*a^4*z^2 + 67*z^4 + 
   (5*z^4)/a^4 - (42*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 44*z^6 + z^6/a^4 - 
   (19*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 1842] -> 
  10 + a^(-6) - 3/a^4 - 3/a^2 - 2*a^2 - 2*a^4 + 25*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 27*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1843] -> -a^(-16) + 6/a^14 - 11/a^12 + 6/a^10 + 
   a^(-4) + (5*z^2)/a^14 - (20*z^2)/a^12 + (19*z^2)/a^10 - z^2/a^8 + 
   (3*z^2)/a^4 - (9*z^4)/a^12 + (20*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (7*z^6)/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1844] -> 
  1 + 2/a^6 - 9/a^4 + 9/a^2 - a^2 - a^4 + 9*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 17*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (15*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 1845] -> 2 + a^(-8) - 4/a^6 + 3/a^4 - a^4 + 6*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 1846] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (22*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (33*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 1847] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (5*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 1848] -> 
  3/a^10 - 10/a^8 + 8/a^6 + a^(-4) - a^(-2) + z^2/a^12 - (15*z^2)/a^8 + 
   (20*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (5*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1849] -> 
  a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + (4*z^2)/a^12 - (14*z^2)/a^10 + 
   (4*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (24*z^4)/a^10 + 
   (24*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1850] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1851] -> -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 9*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 + 5*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (23*z^4)/a^4 - (20*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - 
   (25*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 1852] -> 
  -1 - 3/a^6 + 6/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (11*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 1853] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (19*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 1854] -> 1 - a^(-10) + 6/a^6 - 8/a^4 + 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1855] -> 
  1 + a^(-10) - 5/a^8 + 10/a^6 - 11/a^4 + 6/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (25*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 1856] -> 1 - a^(-2) + 3*a^4 - 3*a^8 + 
   a^10 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 1857] -> 2 - a^(-12) + 4/a^10 - 8/a^8 + 11/a^6 - 
   8/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + 
   (25*z^2)/a^6 - (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (23*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1858] -> -2 - 2/a^4 + 4/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1859] -> 
  -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1860] -> 
  -2 + 2/a^10 - 6/a^8 + 4/a^6 - a^(-4) + 4/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (18*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1861] -> -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1862] -> 
  -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1863] -> 
  -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1864] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1865] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (14*z^2)/a^10 + (4*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (24*z^4)/a^10 + (24*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 1866] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1867] -> -3 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 
   6/a^2 + a^4 - 4*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - (6*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 + z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 1868] -> 1 + a^(-10) - 3/a^8 + 3/a^4 - a^2 + 3*z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1869] -> -2/a^18 + 10/a^16 - 14/a^14 + 3/a^12 + 
   2/a^10 + 2/a^8 - z^2/a^18 + (15*z^2)/a^16 - (37*z^2)/a^14 + 
   (14*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - 
   (31*z^4)/a^14 + (24*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^6)/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 1870] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1871] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (22*z^2)/a^6 + (22*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (33*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1872] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 
   3/a^2 - 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + 
   (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 1873] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 
   2*a^2 - 16*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + 
   (25*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 1874] -> -2 + 10*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 
   8*z^2 + z^2/a^2 + 25*a^2*z^2 - 30*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1875] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - (6*z^2)/a^8 + (23*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (30*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + z^6/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 1876] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 - z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1877] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   10*a^2*z^2 + 6*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 16*a^2*z^4 + 
   7*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 1878] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 24*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1879] -> 
  -5 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 + 3*a^2 - 15*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1880] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 16*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1881] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 22*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 1882] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   6*z^2 - z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 
   6*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 1883] -> -3*a^4 + 9*a^6 - 2*a^8 - 5*a^10 + 2*a^12 - 
   a^2*z^2 - 7*a^4*z^2 + 26*a^6*z^2 - 2*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 29*a^6*z^4 + 2*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 16*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 1884] -> 10 + a^(-6) - 3/a^4 - 2/a^2 - 
   5*a^2 + 26*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 
   30*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 1885] -> 
  6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 14*z^2 + z^2/a^6 - z^2/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 14*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 1886] -> 
  12 - 3/a^2 - 13*a^2 + 5*a^4 + 43*z^2 - (10*z^2)/a^2 - 55*a^2*z^2 + 
   20*a^4*z^2 + 61*z^4 - (12*z^4)/a^2 - 86*a^2*z^4 + 27*a^4*z^4 + 43*z^6 - 
   (6*z^6)/a^2 - 71*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 1887] -> 4 - a^(-4) + 2/a^2 - 8*a^2 + 4*a^4 + 5*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 23*a^2*z^2 + 10*a^4*z^2 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 27*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 1888] -> 
  -4 - 2/a^4 + 7/a^2 - 3*a^2 + 3*a^4 - 15*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - 18*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 - 
   14*a^2*z^4 + 7*a^4*z^4 - 12*z^6 - z^6/a^4 + (10*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 1889] -> 1 - a^(-6) + 3/a^4 - a^(-2) - 4*a^2 + 3*a^4 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 1890] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 1891] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 26*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 - 11*a^2*z^2 + 29*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 1892] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 1893] -> 
  -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 30*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (18*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 34*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (22*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 1894] -> -6 + a^(-2) + 10*a^2 - 3*a^4 - a^6 - 
   12*z^2 + z^2/a^4 - z^2/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 24*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 12*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 1895] -> -10 - a^(-4) + 5/a^2 + 11*a^2 - 4*a^4 - 
   30*z^2 + z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 
   34*z^4 + z^4/a^6 - (7*z^4)/a^4 + (22*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 
   20*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1896] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 10*a^4*z^2 - 
   6*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 1897] -> 
  4 - a^(-2) - 6*a^2 + 7*a^4 - 3*a^6 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   10*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 1898] -> 
  -3*a^4 + 9*a^6 - 2*a^8 - 5*a^10 + 2*a^12 - a^2*z^2 - 7*a^4*z^2 + 
   26*a^6*z^2 - 2*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 29*a^6*z^4 + 2*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   16*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 1899] -> 10 + a^(-6) - 3/a^4 - 2/a^2 - 5*a^2 + 
   26*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 30*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 1900] -> 
  6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 14*z^2 + z^2/a^6 - z^2/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 14*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 1901] -> 
  -3*a^4 + 9*a^6 - 2*a^8 - 5*a^10 + 2*a^12 - a^2*z^2 - 7*a^4*z^2 + 
   26*a^6*z^2 - 2*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 29*a^6*z^4 + 2*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   16*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 1902] -> 10 + a^(-6) - 3/a^4 - 2/a^2 - 5*a^2 + 
   26*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 30*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 1903] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 1904] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + 
   a^2 - a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1905] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) - z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (11*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (18*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1906] -> 5/a^12 - 16/a^10 + 12/a^8 + 2/a^6 - 2/a^4 + 
   (8*z^2)/a^12 - (41*z^2)/a^10 + (43*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^4)/a^12 - (40*z^4)/a^10 + (59*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (40*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 1907] -> -3/a^14 + 12/a^12 - 15/a^10 + 
   3/a^8 + 4/a^6 - (7*z^2)/a^14 + (33*z^2)/a^12 - (43*z^2)/a^10 + 
   (8*z^2)/a^8 + (12*z^2)/a^6 - (5*z^4)/a^14 + (37*z^4)/a^12 - 
   (54*z^4)/a^10 + (3*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - 
   (38*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 1908] -> -a^(-14) + 2/a^12 + 2/a^10 - 7/a^8 + 3/a^6 + 
   2/a^4 - (3*z^2)/a^14 + (10*z^2)/a^12 - (17*z^2)/a^8 + (7*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (6*z^4)/a^10 - (20*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1909] -> -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (27*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (39*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1910] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (12*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 1911] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (9*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1912] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (30*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (40*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1913] -> -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^10 + 
   (13*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - 
   (29*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1914] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (12*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (31*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 1915] -> 1 - a^(-12) + 5/a^10 - 9/a^8 + 
   7/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1916] -> -9 - 3/a^4 + 9/a^2 + 4*a^2 + a^4 - a^6 - 
   17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 11*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 1917] -> 3 + a^(-6) - 3/a^4 + 3*a^2 - 
   3*a^4 - z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 
   6*a^4*z^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 1918] -> 
  -3 + 5*a^2 + a^4 - 3*a^8 + a^10 - 4*z^2 - z^2/a^2 + 12*a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 1919] -> 
  2 - 2/a^4 + 3/a^2 - a^2 - 3*a^4 + 2*a^6 - 6*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1920] -> 
  -2 + a^(-10) - 2/a^8 - a^(-6) + a^(-4) + 4/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 1921] -> 2 - a^(-6) + a^(-4) + a^(-2) - 3*a^2 + a^6 - 
   z^2/a^6 + (4*z^2)/a^4 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1922] -> 
  1 + a^(-8) - 3/a^6 + a^(-4) + 2/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 1923] -> 
  -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - (29*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 1924] -> 
  4/a^12 - 13/a^10 + 10/a^8 + a^(-6) - a^(-4) + (8*z^2)/a^12 - 
   (39*z^2)/a^10 + (42*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^4)/a^12 - 
   (40*z^4)/a^10 + (59*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (18*z^6)/a^10 + (40*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1925] -> 3/a^12 - 10/a^10 + 8/a^8 + (3*z^2)/a^12 - 
   (17*z^2)/a^10 + (15*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1926] -> -3/a^10 + 10/a^8 - 11/a^6 + 3/a^4 + 2/a^2 - 
   (8*z^2)/a^10 + (36*z^2)/a^8 - (40*z^2)/a^6 + (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (40*z^4)/a^8 - (57*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (18*z^6)/a^8 - (40*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (14*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 1927] -> -a^(-14) + 3/a^12 - a^(-10) - 
   5/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - z^2/a^10 - 
   (13*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1928] -> 
  1 - 2/a^10 + 4/a^8 + a^(-6) - 6/a^4 + 3/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (12*z^2)/a^8 + z^2/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (11*z^4)/a^8 - (6*z^4)/a^6 - (25*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (14*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1929] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1930] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (3*z^4)/a^8 + (18*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1931] -> 
  -2/a^18 + 10/a^16 - 14/a^14 + 2/a^12 + 4/a^10 + a^(-8) - z^2/a^18 + 
   (15*z^2)/a^16 - (37*z^2)/a^14 + (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^4)/a^16 - (31*z^4)/a^14 + (21*z^4)/a^12 + 
   (28*z^4)/a^10 + (6*z^4)/a^8 - (8*z^6)/a^14 + (16*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 1932] -> -3 + 4/a^8 - 15/a^6 + 14/a^4 + a^(-2) - 
   9*z^2 + (8*z^2)/a^8 - (39*z^2)/a^6 + (44*z^2)/a^4 + (3*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^8 - (40*z^4)/a^6 + (58*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (40*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1933] -> -1 + 2/a^10 - 6/a^8 + 2/a^6 + 4/a^4 - 3*z^2 + 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + (16*z^2)/a^4 - (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + (21*z^4)/a^4 - z^4/a^2 - 
   z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 1934] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 - z^2/a^12 + 
   (12*z^2)/a^10 - (17*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 + (4*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1935] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 1936] -> 1 - a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 
   4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (7*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1937] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (12*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (31*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 1938] -> -a^(-12) + 8/a^8 - 12/a^6 + 
   4/a^4 + 2/a^2 - (3*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 - (27*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (3*z^4)/a^8 - 
   (28*z^4)/a^6 + (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 1939] -> 1 - a^(-12) + a^(-10) + 2/a^8 - 5/a^4 + 
   3/a^2 + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 - (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (11*z^4)/a^6 - 
   (10*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 1940] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 1941] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1942] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (30*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (40*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 1943] -> 3/a^12 - 10/a^10 + 8/a^8 + (5*z^2)/a^12 - 
   (26*z^2)/a^10 + (29*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (28*z^4)/a^10 + (41*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (30*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 1944] -> -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (27*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (39*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 1945] -> -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 
   6/a^10 + a^(-8) - z^2/a^18 + (11*z^2)/a^16 - (24*z^2)/a^14 - 
   (2*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (26*z^4)/a^14 + (13*z^4)/a^12 + (30*z^4)/a^10 + (6*z^4)/a^8 - 
   (8*z^6)/a^14 + (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 1946] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1947] -> 
  3/a^12 - 9/a^10 + 5/a^8 + 2/a^6 + a^(-4) - a^(-2) + (3*z^2)/a^12 - 
   (17*z^2)/a^10 + (13*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + (16*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1948] -> -2/a^14 + 7/a^12 - 7/a^10 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (13*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (12*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1949] -> -a^(-14) + 2/a^12 + a^(-10) - 4/a^8 + 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (11*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 1950] -> 
  a^(-12) - a^(-10) - 5/a^8 + 6/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (7*z^2)/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + (18*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1951] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1952] -> -a^(-4) + a^(-2) + 4*a^2 - 4*a^4 + a^6 - 
   8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1953] -> 
  -2 - 2/a^4 + 4/a^2 + 3*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1954] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1955] -> 
  2 - a^(-12) + 3/a^10 - 4/a^8 + 6/a^6 - 6/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + (21*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1956] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (22*z^2)/a^6 - (13*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (22*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 1957] -> 1 + a^(-6) - 4/a^4 + 3/a^2 + 
   2*a^2 - 2*a^4 - 3*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + z^4/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 1958] -> -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 
   2*z^2 + z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 1959] -> -1 - 2/a^4 + 4/a^2 + a^2 - 2*a^4 + a^6 - 
   11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 1960] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 1961] -> 4 - a^(-6) + 2/a^4 - 2/a^2 - 2*a^2 - 
   a^4 + a^6 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 1962] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   a^4 + 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 1963] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 - (5*z^2)/a^10 + (18*z^2)/a^8 - (13*z^2)/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - (30*z^4)/a^6 - 
   (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 1964] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 5*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - 
   (11*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - (4*z^4)/a^6 + (26*z^4)/a^4 - 
   (28*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - (27*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 1965] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1966] -> -5 - a^(-8) + 2/a^6 - 2/a^4 + 5/a^2 + a^2 + 
   a^4 - 12*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 1967] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1968] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1969] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 - z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1970] -> -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 2/a^4 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (10*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1971] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 1972] -> 3 + a^(-6) - 5/a^4 + 4/a^2 - a^2 - a^4 + 
   13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 3*a^4*z^4 + 
   12*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 1973] -> 
  1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1974] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (4*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 1975] -> a^(-14) - 4/a^12 + 7/a^10 - 
   7/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 - (2*z^2)/a^12 + (14*z^2)/a^10 - 
   (16*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (6*z^4)/a^10 - (15*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 1976] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (6*z^4)/a^10 - (23*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 1977] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 1978] -> -a^(-2) + 5*a^2 - 3*a^4 - 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 1979] -> 
  -3 - 2/a^8 + 6/a^6 - 7/a^4 + 6/a^2 + a^4 - 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 1980] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1981] -> 
  -5 - a^(-8) + 2/a^6 - 2/a^4 + 5/a^2 + a^2 + a^4 - 12*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 9*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 1982] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^6 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 1983] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 1984] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 1985] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 
   3/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1986] -> -3 - 3/a^6 + 6/a^4 - a^(-2) + 2*a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (20*z^2)/a^4 - (12*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^6 + (26*z^4)/a^4 - (28*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 1987] -> -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 1988] -> a^(-12) - a^(-10) - 5/a^8 + 
   6/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 - (4*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (3*z^4)/a^8 + (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1989] -> 
  -2 + 3/a^8 - 12/a^6 + 12/a^4 - 7*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + 
   (33*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (41*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (30*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 1990] -> 
  3/a^12 - 9/a^10 + 5/a^8 + 2/a^6 + a^(-4) - a^(-2) + (3*z^2)/a^12 - 
   (17*z^2)/a^10 + (13*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + (16*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 1991] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 
   2/a^4 - 2/a^2 + a^2 - z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (8*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 1992] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 3/a^2 - 
   a^2 + 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (15*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 1993] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^6 + (9*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 1994] -> -2/a^14 + 8/a^12 - 10/a^10 + 
   2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (11*z^2)/a^12 - (14*z^2)/a^10 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 1995] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 
   a^(-4) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 1996] -> 
  -2 + 3/a^8 - 12/a^6 + 12/a^4 - 7*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + 
   (33*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (41*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (30*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 1997] -> 
  -2 - a^(-6) + 2/a^4 + 2*a^2 + a^4 - a^6 - 7*z^2 + (5*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 1998] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 3/a^4 - a^(-2) + a^2 - z^2 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 1999] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 4/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2000] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 + (3*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2001] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2002] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (19*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2003] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (14*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2004] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2005] -> -1 - 2/a^8 + 5/a^6 - 2/a^4 - a^(-2) + 2*a^2 - 
   8*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - z^4/a^8 + (12*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2006] -> -a^(-10) + 2/a^8 - a^(-6) + 3/a^4 - 4/a^2 + 
   2*a^2 - 4*z^2 - z^2/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 2007] -> 
  1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - a^(-2) + 3*z^2 - z^2/a^10 - 
   z^2/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2008] -> -a^(-18) + 6/a^16 - 9/a^14 + 
   a^(-12) + 2/a^10 + 2/a^8 - z^2/a^18 + (12*z^2)/a^16 - (31*z^2)/a^14 + 
   (12*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - 
   (29*z^4)/a^14 + (24*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^6)/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2009] -> 
  14 + 2/a^4 - 11/a^2 - a^2 - 3*a^4 + 48*z^2 + (7*z^2)/a^4 - (38*z^2)/a^2 + 
   a^2*z^2 - 10*a^4*z^2 + 65*z^4 + (5*z^4)/a^4 - (42*z^4)/a^2 + 9*a^2*z^4 - 
   12*a^4*z^4 + 44*z^6 + z^6/a^4 - (19*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + 
   15*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 2010] -> 12 + a^(-4) - 8/a^2 - 2*a^2 - 2*a^4 + 
   27*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   27*z^4 + z^4/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   14*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 2011] -> 
  1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2012] -> 5 + a^(-6) - 4/a^4 + a^(-2) - 
   2*a^4 + 17*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 5*a^4*z^2 + 
   23*z^4 + z^4/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   14*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 2013] -> 
  3 + a^(-6) - 5/a^4 + 4/a^2 - a^2 - a^4 + 8*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 9*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + (11*z^4)/a^2 - a^4*z^4 + 4*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 2014] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 
   4/a^2 - 7*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (16*z^2)/a^4 + (9*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + (31*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2015] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (18*z^2)/a^8 - (13*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (30*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 2016] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + 
   a^2 - 5*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 
   8*z^4 - (4*z^4)/a^6 + (26*z^4)/a^4 - (28*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - 
   z^6/a^6 + (15*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 2017] -> -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 
   4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2018] -> -a^(-18) + 6/a^16 - 9/a^14 + a^(-12) + 
   2/a^10 + 2/a^8 + (6*z^2)/a^16 - (20*z^2)/a^14 + (6*z^2)/a^12 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (11*z^4)/a^14 + (11*z^4)/a^12 + 
   (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 2019] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - 
   (10*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (7*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2020] -> 
  10 - 5/a^2 - 3*a^2 - a^4 + 23*z^2 + z^2/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 23*z^4 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 2021] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (5*z^2)/a^12 + (14*z^2)/a^10 - 
   (13*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + (9*z^4)/a^10 - 
   (16*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (7*z^6)/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2022] -> 2/a^12 - 4/a^10 - 3/a^8 + 7/a^6 - a^(-2) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 - (3*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + (22*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2023] -> -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (17*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (31*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2024] -> -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 
   2/a^2 - 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2025] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (19*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2026] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (14*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2027] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2028] -> -2/a^14 + 8/a^12 - 10/a^10 + 2/a^8 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (11*z^2)/a^12 - (14*z^2)/a^10 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2029] -> -2/a^14 + 7/a^12 - 7/a^10 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (13*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (12*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2030] -> -a^(-14) + 2/a^12 + a^(-10) - 4/a^8 + 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (11*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 2031] -> 
  -1 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 2032] -> -2 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2/a^2 + a^4 - 4*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - (5*z^4)/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 2033] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2034] -> -2 + a^2 + 6*a^4 - a^6 - 5*a^8 + 
   2*a^10 - 5*z^2 + 5*a^2*z^2 + 10*a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 10*a^2*z^4 + 3*a^4*z^4 + 18*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2035] -> 1 - a^(-2) - a^2 + 6*a^4 - 3*a^6 - 2*a^8 + 
   a^10 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 12*a^4*z^2 - a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 + 8*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2036] -> -3 - 2/a^8 + 6/a^6 - 7/a^4 + 6/a^2 + a^4 - 
   4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2037] -> 
  -3 + 5*a^2 + a^4 - 3*a^8 + a^10 - 7*z^2 + 13*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 - z^4/a^2 + 13*a^2*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 2038] -> 
  -2/a^18 + 9/a^16 - 11/a^14 + 3/a^10 + 2/a^8 - z^2/a^18 + (14*z^2)/a^16 - 
   (32*z^2)/a^14 + (8*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + 
   (5*z^4)/a^16 - (29*z^4)/a^14 + (20*z^4)/a^12 + (20*z^4)/a^10 + 
   (9*z^4)/a^8 - (8*z^6)/a^14 + (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2039] -> 
  -4 + 5/a^8 - 18/a^6 + 16/a^4 + 2/a^2 - 12*z^2 + (9*z^2)/a^8 - 
   (44*z^2)/a^6 + (47*z^2)/a^4 + (8*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (42*z^4)/a^6 + (59*z^4)/a^4 + (15*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (40*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2040] -> -2 + 2/a^10 - 5/a^8 - a^(-6) + 6/a^4 + 
   a^(-2) - 5*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + 
   (17*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (8*z^4)/a^6 + (21*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 2041] -> -3 + 4/a^8 - 15/a^6 + 14/a^4 + 
   a^(-2) - 9*z^2 + (6*z^2)/a^8 - (31*z^2)/a^6 + (34*z^2)/a^4 + (7*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + (41*z^4)/a^4 + (13*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2042] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2043] -> 
  3 - a^(-4) + 2*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2044] -> -a^(-2) + 5*a^2 - 3*a^4 - 8*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2045] -> 
  -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2046] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2047] -> 
  -1 - a^(-10) + 2/a^8 - a^(-4) + a^(-2) + a^4 + (4*z^2)/a^8 - (5*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^2, Knot[15, Alternating, 2048] -> 2 - a^(-2) - 4*a^2 + 8*a^4 - 
   2*a^6 - 3*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 9*a^4*z^2 + 
   5*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 2049] -> -1 + a^(-6) - 5/a^4 + 6/a^2 + 
   a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2050] -> -a^(-18) + 5/a^16 - 7/a^14 + 2/a^12 - 
   a^(-10) + 2/a^8 + a^(-6) + (5*z^2)/a^16 - (15*z^2)/a^14 + (6*z^2)/a^12 + 
   (2*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^14 + (8*z^4)/a^12 + 
   (7*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 2051] -> 
  1 + 2/a^8 - 7/a^6 + 4/a^4 + 3/a^2 - 2*a^2 + 3*z^2 + (3*z^2)/a^8 - 
   (15*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (12*z^4)/a^6 + (14*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 2052] -> a^(-10) - 3/a^8 + a^(-6) + 
   3/a^2 - a^2 + z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (8*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 2053] -> 10 - 5/a^2 - 3*a^2 - a^4 + 23*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 23*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2054] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (13*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2055] -> 3/a^12 - 8/a^10 + 2/a^8 + 6/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (23*z^2)/a^10 + (16*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (32*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2056] -> -a^(-8) + a^(-6) + a^(-2) - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (15*z^4)/a^8 - (12*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2057] -> -3 - 3/a^6 + 6/a^4 - a^(-2) + 2*a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (20*z^2)/a^4 - (12*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^6 + (26*z^4)/a^4 - (28*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 2058] -> -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 2059] -> -2 - a^(-6) + 2/a^4 + 2*a^2 + 
   a^4 - a^6 - 7*z^2 + (5*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 2060] -> -3 - 2/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + a^2 + 
   a^4 - 6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2061] -> -2 - a^(-10) + 2/a^8 - a^(-6) + 2/a^4 - 
   a^(-2) + a^2 + a^4 - 4*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 2062] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2063] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + 4/a^12 + a^(-8) + a^(-6) + (5*z^2)/a^16 - 
   (17*z^2)/a^14 + (7*z^2)/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   (8*z^4)/a^14 + (8*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 2064] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 2/a^2 - 
   a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2065] -> 
  a^(-12) - a^(-10) - 5/a^8 + 6/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (7*z^2)/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + (18*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2066] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 2067] -> -1 - a^(-8) + a^(-6) + a^(-4) + 
   a^2 - 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 2068] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2069] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2070] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 - z^2/a^10 - z^2/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (7*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2071] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2072] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (12*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2073] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (13*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2074] -> 3/a^12 - 8/a^10 + 2/a^8 + 6/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (23*z^2)/a^10 + (16*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (32*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2075] -> -a^(-14) + 5/a^12 - 8/a^10 + 
   3/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (13*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (8*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2076] -> 
  -3 + 4/a^8 - 15/a^6 + 14/a^4 + a^(-2) - 9*z^2 + (6*z^2)/a^8 - 
   (31*z^2)/a^6 + (34*z^2)/a^4 + (7*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - 
   (30*z^4)/a^6 + (41*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2077] -> 2/a^12 - 4/a^10 - 3/a^8 + 7/a^6 - a^(-2) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 - (3*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + (22*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2078] -> -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (13*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2079] -> -1 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 - a^2 + 
   a^4 - z^2/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2080] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 3/a^2 - a^2 + a^4 + z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2081] -> a^(-10) - 3/a^8 + 3/a^6 - 4/a^4 + 5/a^2 - 
   a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (19*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2082] -> -2 + a^2 + 6*a^4 - a^6 - 5*a^8 + 2*a^10 - 
   5*z^2 + 5*a^2*z^2 + 10*a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 10*a^2*z^4 + 3*a^4*z^4 + 18*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 2083] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - z^2/a^14 + z^2/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (6*z^4)/a^10 - (23*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 2084] -> 1 - a^(-2) - a^2 + 6*a^4 - 3*a^6 - 
   2*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 12*a^4*z^2 - a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - a^2*z^4 + 8*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2085] -> 2 + a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 
   a^(-2) - a^2 + 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (9*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2086] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - 
   (10*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (7*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2087] -> 
  -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (17*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (31*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2088] -> 
  -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 2089] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2090] -> 2 + a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 
   a^(-2) - a^2 + 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (9*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2091] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (16*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (31*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2092] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2093] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2094] -> a^(-12) - a^(-10) - 5/a^8 + 6/a^6 + a^(-4) - 
   a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + 
   (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2095] -> -2/a^18 + 9/a^16 - 11/a^14 + 
   3/a^10 + 2/a^8 - z^2/a^18 + (14*z^2)/a^16 - (32*z^2)/a^14 + (8*z^2)/a^12 + 
   (13*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - (29*z^4)/a^14 + 
   (20*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 - (8*z^6)/a^14 + 
   (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2096] -> 
  -4 + 5/a^8 - 18/a^6 + 16/a^4 + 2/a^2 - 12*z^2 + (9*z^2)/a^8 - 
   (44*z^2)/a^6 + (47*z^2)/a^4 + (8*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (42*z^4)/a^6 + (59*z^4)/a^4 + (15*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (40*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2097] -> -2 + 2/a^10 - 5/a^8 - a^(-6) + 6/a^4 + 
   a^(-2) - 5*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + 
   (17*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (8*z^4)/a^6 + (21*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 2098] -> -1 + 2/a^10 - 9/a^8 + 14/a^6 - 
   11/a^4 + 6/a^2 - 3*z^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + (34*z^2)/a^6 - 
   (30*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (32*z^4)/a^6 - (34*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2099] -> 
  -13 - a^(-4) + 6/a^2 + 15*a^2 - 7*a^4 + a^6 - 35*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 33*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 37*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 30*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2100] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 - 
   (4*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2101] -> a^(-12) - 4/a^10 + 5/a^8 - 5/a^6 + 5/a^4 - 
   a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 + 
   (11*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2102] -> -a^2 + 8*a^6 - 6*a^8 - a^10 + a^12 - 
   3*a^2*z^2 + 21*a^6*z^2 - 6*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   a^4*z^4 + 22*a^6*z^4 + 2*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 12*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 2103] -> -2 + 2/a^10 - 8/a^8 + 10/a^6 - 
   7/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - 
   (17*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2104] -> 
  3 + a^(-10) - 3/a^8 + 5/a^4 - 4/a^2 - a^2 + 6*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2105] -> 3 - a^(-2) - 2*a^2 - a^4 + 6*a^6 - 5*a^8 + 
   a^10 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 16*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 10*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 2106] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2107] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^12 + z^2/a^10 - (16*z^2)/a^8 + 
   (24*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (11*z^4)/a^8 + (22*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2108] -> -1 + 2/a^10 - 7/a^8 + 5/a^6 + 
   a^(-4) + a^(-2) - 4*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (23*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2109] -> 
  -2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 2110] -> 
  -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 10*a^4*z^2 + 18*a^6*z^2 + 
   26*a^8*z^2 - 32*a^10*z^2 + 7*a^12*z^2 - 12*a^4*z^4 + 20*a^6*z^4 + 
   47*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 14*a^6*z^6 + 
   37*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 2111] -> 
  -a^2 + a^4 + 3*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 3*a^2*z^2 + a^4*z^2 + 
   14*a^6*z^2 + 7*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   19*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 2112] -> -6 + a^(-8) - 4/a^6 + 3/a^4 + 4/a^2 + 4*a^2 - 
   a^4 - 16*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 2113] -> 
  -2*a^2 + 5*a^4 - a^6 + a^8 - 3*a^10 + a^12 - 5*a^2*z^2 + 10*a^4*z^2 + 
   4*a^6*z^2 + 5*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   9*a^6*z^4 + 9*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   7*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 2114] -> -1 + 2*a^2 + a^4 - 2*a^6 + 4*a^8 - 4*a^10 + 
   a^12 - 2*z^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 7*a^8*z^2 - 6*a^10*z^2 + 
   a^12*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 2115] -> 3 + a^(-10) - 5/a^8 + 10/a^6 - 9/a^4 + 
   2/a^2 - a^2 + 6*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - 
   (19*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (16*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2116] -> -6 - a^(-8) + 6/a^6 - 14/a^4 + 15/a^2 + a^2 - 
   17*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (32*z^2)/a^4 + (36*z^2)/a^2 + 
   3*a^2*z^2 - 18*z^4 - z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + 
   (37*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2117] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 18*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2118] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2119] -> 
  -11 + 2/a^6 - 9/a^4 + 15/a^2 + 5*a^2 - a^4 - 31*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (34*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (32*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2120] -> 
  -4 + a^(-8) - 4/a^6 + 5/a^4 + 4*a^2 - a^4 - 9*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 2121] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2122] -> 1 - a^(-2) + 6*a^2 - 11*a^4 + 
   10*a^6 - 5*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 26*a^4*z^2 + 
   22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   25*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 2123] -> 
  -2 + 2/a^10 - 8/a^8 + 10/a^6 - 7/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (25*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2124] -> -11 + 2/a^6 - 9/a^4 + 15/a^2 + 5*a^2 - a^4 - 
   28*z^2 + (4*z^2)/a^6 - (21*z^2)/a^4 + (37*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 27*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + (39*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (21*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2125] -> -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 
   2*a^4 - 25*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 26*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2126] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 11/a^6 - 3/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (30*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (32*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 2127] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 22*z^2 + (5*z^2)/a^2 + 30*a^2*z^2 - 
   8*a^4*z^2 - a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - a^4*z^4 - 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 2128] -> 5 + a^(-4) - 4/a^2 - a^2 + a^4 - a^6 + 
   9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   7*z^4 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 2129] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 
   2*a^2 - 16*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + 
   (25*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2130] -> -2 + 10*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 
   8*z^2 + z^2/a^2 + 25*a^2*z^2 - 30*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2131] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - (6*z^2)/a^8 + (23*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (30*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + z^6/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 2132] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 - z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 2133] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2134] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2135] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2136] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2137] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2138] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2139] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2140] -> 5 - 2/a^6 + 8/a^4 - 10/a^2 + 18*z^2 - 
   (9*z^2)/a^6 + (38*z^2)/a^4 - (49*z^2)/a^2 + 26*z^4 - (12*z^4)/a^6 + 
   (59*z^4)/a^4 - (82*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - 
   (70*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 2141] -> 
  3 - 2/a^6 + 8/a^4 - 9/a^2 + a^2 - z^2 - (5*z^2)/a^6 + (20*z^2)/a^4 - 
   (21*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - 
   (20*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 2142] -> 
  4 - a^(-8) + 3/a^6 - 5/a^2 + 9*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (4*z^2)/a^4 - (17*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (9*z^4)/a^4 - (22*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 2143] -> 
  2 - a^(-8) + 3/a^6 - 4/a^2 + a^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 2144] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 10*a^4*z^2 - 
   6*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 2145] -> 
  4 - a^(-2) - 6*a^2 + 7*a^4 - 3*a^6 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   10*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 2146] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 14*a^2*z^2 - 
   16*a^4*z^2 + 7*a^6*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 2147] -> 
  -6 + a^(-2) + 10*a^2 - 3*a^4 - a^6 - 12*z^2 + z^2/a^4 - z^2/a^2 + 
   24*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   24*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 12*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 2148] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 26*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 - 11*a^2*z^2 + 29*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 2149] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 2150] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - 
   (14*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (14*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2151] -> 
  4 - a^(-4) - a^2 - 2*a^4 + a^6 - z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 14*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2152] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2153] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2154] -> -1 - a^(-8) + a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - 8*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2155] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 2156] -> -a^(-4) + 2/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 2157] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - (6*z^2)/a^14 + (24*z^2)/a^12 - 
   (31*z^2)/a^10 + (8*z^2)/a^8 + (10*z^2)/a^6 - (5*z^4)/a^14 + 
   (34*z^4)/a^12 - (46*z^4)/a^10 + (5*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (36*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 2158] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (7*z^2)/a^10 + (29*z^2)/a^8 - (29*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (37*z^4)/a^8 - (49*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (18*z^6)/a^8 - (38*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (14*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 2159] -> -a^(-14) + 4/a^12 - 5/a^10 + 
   2/a^6 + a^(-4) - (3*z^2)/a^14 + (11*z^2)/a^12 - (9*z^2)/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (9*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2160] -> 
  -3/a^6 + 7/a^4 - 4/a^2 + a^2 + z^2 - (7*z^2)/a^6 + (29*z^2)/a^4 - 
   (27*z^2)/a^2 + 5*a^2*z^2 - 2*z^4 - (5*z^4)/a^6 + (36*z^4)/a^4 - 
   (47*z^4)/a^2 + 8*a^2*z^4 - 7*z^6 - z^6/a^6 + (18*z^6)/a^4 - (37*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (14*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 2161] -> 
  1 - a^(-8) + 5/a^4 - 5/a^2 + a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + 
   (7*z^2)/a^4 - (16*z^2)/a^2 + 3*a^2*z^2 - z^4/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (20*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2162] -> 3/a^12 - 9/a^10 + 5/a^8 + 3/a^6 - a^(-4) + 
   (7*z^2)/a^12 - (32*z^2)/a^10 + (31*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^4)/a^12 - (37*z^4)/a^10 + (51*z^4)/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (38*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2163] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2164] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + (7*z^2)/a^8 - (30*z^2)/a^6 + 
   (32*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - (37*z^4)/a^6 + 
   (50*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + z^6/a^8 - (18*z^6)/a^6 + 
   (38*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2165] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (16*z^2)/a^4 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (19*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2166] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 + z^2/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2167] -> -3 - 3/a^4 + 7/a^2 - a^2 + a^4 - 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2168] -> 
  2 - 2/a^4 + 3/a^2 - 2*a^2 - a^4 + a^6 - 2*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2169] -> 
  2 - 2/a^4 + 3/a^2 - 2*a^2 - a^4 + a^6 - 2*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2170] -> 
  -a^(-12) + a^(-10) + 4/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (9*z^2)/a^10 + (6*z^2)/a^8 - (21*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (11*z^4)/a^10 - (3*z^4)/a^8 - (26*z^4)/a^6 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 2171] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (9*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (11*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2172] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (9*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2173] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (21*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (37*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2174] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (9*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (11*z^4)/a^8 + (16*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2175] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (12*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2176] -> 
  2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 2177] -> 
  -3 - a^(-8) + a^(-6) + 2/a^4 + a^2 + a^4 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 2178] -> 
  2/a^12 - 5/a^10 + 4/a^6 + a^(-4) - a^(-2) + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (3*z^2)/a^8 + (17*z^2)/a^6 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (8*z^4)/a^8 + (22*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2179] -> a^(-12) - a^(-10) - 3/a^8 + 
   3/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (13*z^2)/a^8 + 
   (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - 
   (19*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 2180] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 2181] -> 2 - 2/a^8 + 3/a^6 + 3/a^4 - 
   6/a^2 + a^2 + 4*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   (18*z^2)/a^2 + 3*a^2*z^2 + z^4 - z^4/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - 
   (22*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2182] -> 1 - a^(-12) + 4/a^10 - 5/a^8 + 2/a^6 + 
   2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (10*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2183] -> 
  5 + a^(-4) - 5/a^2 + 3*a^2 - 3*a^4 + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2184] -> 5 + a^(-4) - 5/a^2 + 3*a^2 - 3*a^4 + 
   z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 
   10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2185] -> 
  4/a^12 - 12/a^10 + 7/a^8 + 4/a^6 - 2/a^4 + (8*z^2)/a^12 - (38*z^2)/a^10 + 
   (37*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^12 - (40*z^4)/a^10 + 
   (57*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + 
   (40*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2186] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (21*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (37*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2187] -> -1 - 4/a^6 + 10/a^4 - 6/a^2 + 2*a^2 - z^2 - 
   (8*z^2)/a^6 + (35*z^2)/a^4 - (33*z^2)/a^2 + 7*a^2*z^2 - 4*z^4 - 
   (5*z^4)/a^6 + (39*z^4)/a^4 - (53*z^4)/a^2 + 9*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (18*z^6)/a^4 - (39*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 2188] -> 4/a^12 - 12/a^10 + 7/a^8 + 4/a^6 - 2/a^4 + 
   (8*z^2)/a^12 - (38*z^2)/a^10 + (37*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^4)/a^12 - (40*z^4)/a^10 + (57*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (40*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2189] -> 2 - a^(-10) + a^(-8) + a^(-6) + 
   2/a^4 - 5/a^2 + a^2 + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^2/a^4 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (9*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 2190] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + (24*z^2)/a^4 - 6*z^4 + (4*z^4)/a^8 - 
   (28*z^4)/a^6 + (38*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2191] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2192] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 2193] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (13*z^2)/a^8 - (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (11*z^4)/a^8 - (9*z^4)/a^6 - 
   (17*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2194] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 2195] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 9*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 2196] -> 1 - a^(-4) + a^(-2) + a^2 - 
   a^4 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 2197] -> 1 - a^(-12) + a^(-10) + 3/a^8 - 4/a^6 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 - (9*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (11*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 2198] -> -1 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 - a^2 + 
   a^4 - 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + 
   (12*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 2199] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 5*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (15*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2200] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + a^(-6) + 
   2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - 
   (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 2201] -> -a^(-12) + 2/a^10 + 2/a^8 - 
   5/a^6 + 3/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 - (4*z^2)/a^8 - (7*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (17*z^4)/a^8 + 
   z^4/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + 
   (7*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 2202] -> 
  1 - a^(-12) + 2/a^10 + a^(-8) - 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2203] -> -a^(-8) + 2/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (8*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2204] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (8*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2205] -> 9 + a^(-4) - 7/a^2 + a^2 - 3*a^4 + 
   37*z^2 + (6*z^2)/a^4 - (31*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 57*z^4 + 
   (5*z^4)/a^4 - (39*z^4)/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 42*z^6 + z^6/a^4 - 
   (19*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 2206] -> 
  7 - 4/a^2 - 2*a^4 + 21*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 - 
   5*a^4*z^2 + 25*z^4 + z^4/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 2207] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 15*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - 
   2*a^2*z^2 - 3*a^4*z^2 + 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 2208] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 3/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2209] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (13*z^2)/a^8 - (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (11*z^4)/a^8 - (9*z^4)/a^6 - 
   (17*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2210] -> -a^(-14) + 3/a^12 - 6/a^8 + 3/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 - (16*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (19*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2211] -> -a^(-12) + 4/a^10 - 4/a^8 - a^(-6) + 2/a^4 + 
   a^(-2) - z^2/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (8*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 2212] -> -2 + a^2 + 6*a^4 - 2*a^6 - 3*a^8 + 
   a^10 - 3*z^2 - z^2/a^2 + 5*a^2*z^2 + 10*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2213] -> 1 - a^(-12) + 2/a^10 - 2/a^6 + a^(-4) + 
   2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2214] -> 
  -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (16*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 2215] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   z^2/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + z^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 2216] -> 
  4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 8*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 2217] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2218] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (17*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2219] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2220] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2221] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2222] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 2223] -> -a^(-14) + 3/a^12 - 3/a^10 + a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (4*z^2)/a^10 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 2224] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2225] -> 
  -2 + a^2 + 6*a^4 - 2*a^6 - 3*a^8 + a^10 - 3*z^2 - z^2/a^2 + 5*a^2*z^2 + 
   10*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   7*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2226] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2227] -> 
  -3 + 3/a^8 - 11/a^6 + 9/a^4 + 3/a^2 - 9*z^2 + (6*z^2)/a^8 - (28*z^2)/a^6 + 
   (28*z^2)/a^4 + (9*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (39*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2228] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 2229] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2230] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 2231] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 10*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 9*z^4 - (3*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 - a^4*z^4 + 
   4*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 2232] -> 1 - a^(-12) + a^(-10) + 3/a^8 - 4/a^6 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 - (9*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (11*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 2233] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 
   3/a^4 + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (11*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2234] -> -6 - 3/a^4 + 8/a^2 + a^2 + 2*a^4 - a^6 - 
   11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 2235] -> -1 - 3*a^2 + 11*a^4 - 3*a^6 - 
   5*a^8 + 2*a^10 - 4*z^2 - 2*a^2*z^2 + 21*a^4*z^2 + 4*a^6*z^2 - 14*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 7*a^2*z^4 + 11*a^4*z^4 + 16*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 2*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2236] -> -3 + 4*a^2 + 4*a^4 - 3*a^6 - 2*a^8 + a^10 - 
   4*z^2 - z^2/a^2 + 9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   z^4 - z^4/a^2 + 7*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2237] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (2*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2238] -> 
  -4 + 4/a^8 - 14/a^6 + 11/a^4 + 4/a^2 - 12*z^2 + (8*z^2)/a^8 - 
   (37*z^2)/a^6 + (36*z^2)/a^4 + (12*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (39*z^4)/a^6 + (51*z^4)/a^4 + (17*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (38*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2239] -> -2 + a^(-10) - a^(-8) - 6/a^6 + 8/a^4 + 
   a^(-2) - 5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (8*z^2)/a^6 + (21*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (23*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2240] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2241] -> 
  -a^(-12) + a^(-10) + 5/a^8 - 7/a^6 - a^(-4) + 4/a^2 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^12 + (12*z^4)/a^10 - (18*z^4)/a^8 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 2242] -> 2 - a^(-12) + 2/a^10 + a^(-6) - 4/a^4 + 
   a^(-2) + 3*z^2 - z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 2243] -> 
  1 + a^(-8) - 3/a^6 - a^(-4) + 5/a^2 - 2*a^2 + 3*z^2 + (3*z^2)/a^8 - 
   (12*z^2)/a^6 + (5*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (12*z^4)/a^6 + (12*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 2244] -> a^(-8) - 4/a^6 + 2/a^4 + 
   3/a^2 - a^2 + z^2/a^10 - (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + (8*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 2245] -> 5/a^12 - 15/a^10 + 9/a^8 + 5/a^6 - 3/a^4 + 
   (8*z^2)/a^12 - (39*z^2)/a^10 + (35*z^2)/a^8 + (15*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^4)/a^12 - (39*z^4)/a^10 + (52*z^4)/a^8 + 
   (19*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (38*z^6)/a^8 + 
   (14*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 2246] -> 
  3/a^12 - 8/a^10 + 2/a^8 + 5/a^6 - a^(-2) + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (8*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (11*z^4)/a^8 + (20*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2247] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 4/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (3*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (21*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2248] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2249] -> 
  1 - a^(-12) + 2/a^10 - 2/a^6 + a^(-4) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2250] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2251] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 2252] -> 2 - a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (10*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2253] -> -1 - 3*a^2 + 11*a^4 - 3*a^6 - 5*a^8 + 
   2*a^10 - 4*z^2 - 2*a^2*z^2 + 21*a^4*z^2 + 4*a^6*z^2 - 14*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 7*a^2*z^4 + 11*a^4*z^4 + 16*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 2*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2254] -> -3 + 4*a^2 + 4*a^4 - 3*a^6 - 2*a^8 + a^10 - 
   4*z^2 - z^2/a^2 + 9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   z^4 - z^4/a^2 + 7*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2255] -> 5/a^12 - 15/a^10 + 9/a^8 + 5/a^6 - 3/a^4 + 
   (8*z^2)/a^12 - (39*z^2)/a^10 + (35*z^2)/a^8 + (15*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^4)/a^12 - (39*z^4)/a^10 + (52*z^4)/a^8 + 
   (19*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (38*z^6)/a^8 + 
   (14*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 2256] -> 
  3/a^12 - 8/a^10 + 2/a^8 + 5/a^6 - a^(-2) + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (8*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (11*z^4)/a^8 + (20*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2257] -> 
  1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2258] -> -a^(-12) + 3/a^10 - 2/a^8 - 
   a^(-6) + 2/a^4 - a^(-2) + a^2 - 2*z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 2259] -> -6 - a^(-4) + 3/a^2 + 8*a^2 - a^4 - 3*a^6 + 
   a^8 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 + 4*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 2260] -> a^(-12) - a^(-10) - 5/a^8 + 5/a^6 + 3/a^4 - 
   2/a^2 + (2*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (7*z^4)/a^8 + 
   (14*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2261] -> -3 + 3/a^8 - 11/a^6 + 9/a^4 + 3/a^2 - 9*z^2 + 
   (6*z^2)/a^8 - (28*z^2)/a^6 + (28*z^2)/a^4 + (9*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (39*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2262] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 
   2/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 2263] -> 
  1 - a^(-12) + 2/a^10 - a^(-4) - a^(-2) + a^2 - z^2 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - 
   z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[15, Alternating, 2264] -> -1 + a^(-12) - 3/a^10 + 2/a^8 - 2/a^6 + 
   3/a^4 + a^(-2) - 2*z^2 + z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 2265] -> 
  -a^(-14) + 3/a^12 - 6/a^8 + 3/a^6 + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 + 
   z^2/a^10 - (16*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2266] -> 
  2 - a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2267] -> 
  a^(-12) - a^(-10) - 5/a^8 + 5/a^6 + 3/a^4 - 2/a^2 + (2*z^2)/a^12 - 
   (8*z^2)/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (7*z^4)/a^8 + (14*z^4)/a^6 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (8*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2268] -> -4 + 4/a^8 - 14/a^6 + 11/a^4 + 4/a^2 - 
   12*z^2 + (8*z^2)/a^8 - (37*z^2)/a^6 + (36*z^2)/a^4 + (12*z^2)/a^2 - 
   13*z^4 + (5*z^4)/a^8 - (39*z^4)/a^6 + (51*z^4)/a^4 + (17*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (18*z^6)/a^6 + (38*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2269] -> -2 + a^(-10) - a^(-8) - 6/a^6 + 8/a^4 + 
   a^(-2) - 5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (8*z^2)/a^6 + (21*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (23*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2270] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   11*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (31*z^2)/a^4 + (30*z^2)/a^2 + 
   a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + (35*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2271] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (4*z^2)/a^12 - (12*z^2)/a^10 - z^2/a^8 + (23*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (17*z^4)/a^10 + (7*z^4)/a^8 + (26*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2272] -> -12 - 2/a^4 + 9/a^2 + 7*a^2 - a^4 - 31*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (28*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 
   29*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (33*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2273] -> -13 + a^(-6) - 6/a^4 + 13/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (33*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 31*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (35*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2274] -> -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 
   z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2275] -> -a^2 + a^4 + 4*a^6 - a^8 - 3*a^10 + a^12 - 
   3*a^2*z^2 + a^4*z^2 + 16*a^6*z^2 + a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 20*a^6*z^4 + 6*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 2276] -> 
  -1 + 3*a^2 - 3*a^4 + 6*a^6 - 5*a^8 + a^10 + z^2 - z^2/a^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 11*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 2277] -> 
  -1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 6/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (27*z^2)/a^6 - (28*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - (33*z^4)/a^4 + (17*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2278] -> 2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + 
   (5*z^2)/a^12 - (18*z^2)/a^10 + (11*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (13*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2279] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (14*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2280] -> 
  -1 + 2/a^10 - 8/a^8 + 10/a^6 - 6/a^4 + 4/a^2 - 3*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (29*z^2)/a^6 - (23*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (30*z^4)/a^6 - (30*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2281] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   26*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2282] -> 
  a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + (8*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2283] -> -9 - a^(-4) + 5/a^2 + 10*a^2 - 
   5*a^4 + a^6 - 30*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 26*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 35*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   26*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2284] -> 1 - a^(-2) + 6*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   4*z^2 + 19*a^2*z^2 - 24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 23*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2285] -> 
  -2 + a^(-10) - 4/a^8 + 5/a^6 - 5/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2286] -> -2*a^4 + 3*a^6 + 8*a^8 - 11*a^10 + 3*a^12 - 
   9*a^4*z^2 + 13*a^6*z^2 + 33*a^8*z^2 - 34*a^10*z^2 + 7*a^12*z^2 - 
   12*a^4*z^4 + 18*a^6*z^4 + 51*a^8*z^4 - 38*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 14*a^6*z^6 + 38*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 2287] -> -3*a^4 + 8*a^6 - 6*a^10 + 2*a^12 - 
   2*a^2*z^2 - 4*a^4*z^2 + 21*a^6*z^2 + 5*a^8*z^2 - 14*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 23*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 2288] -> 
  1 - a^(-2) + 6*a^2 - 9*a^4 + 5*a^6 - a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   15*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 2289] -> 
  -a^2 + 2*a^4 - a^6 + 7*a^8 - 8*a^10 + 2*a^12 - 4*a^2*z^2 + 6*a^4*z^2 + 
   4*a^6*z^2 + 16*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 
   6*a^4*z^4 + 10*a^6*z^4 + 16*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 8*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 2290] -> -a^2 + a^4 + 4*a^6 - a^8 - 
   3*a^10 + a^12 - z^2 - a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 5*a^10*z^2 + 
   a^12*z^2 - z^4 + 5*a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 2291] -> -9 + a^(-6) - 5/a^4 + 10/a^2 + 5*a^2 - a^4 - 
   29*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (27*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 33*z^4 + z^4/a^6 - (10*z^4)/a^4 + (28*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2292] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 17*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (25*z^2)/a^4 + (34*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (26*z^4)/a^4 + (36*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2293] -> 
  -2 + a^(-10) - 4/a^8 + 5/a^6 - 5/a^4 + 6/a^2 - z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2294] -> -10 + 2/a^6 - 10/a^4 + 16/a^2 + 
   4*a^2 - a^4 - 26*z^2 + (4*z^2)/a^6 - (22*z^2)/a^4 + (39*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (40*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2295] -> -4*a^4 + 13*a^6 - 8*a^8 - a^10 + a^12 - 
   a^2*z^2 - 9*a^4*z^2 + 33*a^6*z^2 - 10*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 33*a^6*z^4 - a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 17*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 2296] -> -9 - a^(-6) + 2/a^4 + 3/a^2 + 
   8*a^2 - 2*a^4 - 16*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 17*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 16*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 2297] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - 
   a^(-2) + z^2/a^12 - (11*z^2)/a^8 + (13*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2298] -> 
  -9 - a^(-4) + 5/a^2 + 10*a^2 - 5*a^4 + a^6 - 30*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 26*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 35*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2299] -> 
  a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + (8*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2300] -> -2 + 7*a^2 - 10*a^4 + 13*a^6 - 
   9*a^8 + 2*a^10 - 5*z^2 + 18*a^2*z^2 - 26*a^4*z^2 + 33*a^6*z^2 - 
   18*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 19*a^2*z^4 - 29*a^4*z^4 + 33*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 16*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2301] -> 3 - a^(-2) - 3*a^2 + 2*a^4 + 3*a^6 - 4*a^8 + 
   a^10 + 6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 7*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2302] -> -4*a^4 + 13*a^6 - 8*a^8 - a^10 + a^12 - 
   a^2*z^2 - 9*a^4*z^2 + 33*a^6*z^2 - 10*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 33*a^6*z^4 - a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 17*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 2303] -> -3 + 9*a^2 - 6*a^4 + a^6 - 
   15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 
   21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2304] -> 
  3 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^2 - a^2 + 6*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 2305] -> 
  2 - a^(-2) + 2*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 5*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 14*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2306] -> 1 - a^(-2) + 6*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   4*z^2 + 19*a^2*z^2 - 24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 23*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2307] -> 
  -2 + a^(-10) - 4/a^8 + 7/a^6 - 9/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (23*z^2)/a^6 - (27*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - (31*z^4)/a^4 + (20*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2308] -> -17 - 2/a^4 + 10/a^2 + 15*a^2 - 6*a^4 + a^6 - 
   42*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 34*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 41*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 31*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2309] -> 1 - a^(-2) + 7*a^2 - 14*a^4 + 13*a^6 - 
   6*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 32*a^4*z^2 + 
   27*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   29*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 13*a^4*z^6 + 
   6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 2310] -> 
  -10 + 2/a^6 - 10/a^4 + 16/a^2 + 4*a^2 - a^4 - 26*z^2 + (4*z^2)/a^6 - 
   (22*z^2)/a^4 + (39*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + 
   (3*z^4)/a^6 - (20*z^4)/a^4 + (40*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2311] -> 
  -2 + 2/a^10 - 9/a^8 + 15/a^6 - 14/a^4 + 9/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (17*z^2)/a^8 + (35*z^2)/a^6 - (35*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (32*z^4)/a^6 - (36*z^4)/a^4 + (21*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2312] -> 1 - a^(-2) + 7*a^2 - 14*a^4 + 13*a^6 - 
   6*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 32*a^4*z^2 + 
   27*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   29*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 13*a^4*z^6 + 
   6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 2313] -> 
  4 + a^(-10) - 3/a^8 + a^(-6) + 4/a^4 - 5/a^2 - a^2 + 8*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2314] -> -7 + a^(-2) + 18*a^2 - 17*a^4 + 7*a^6 - a^8 - 
   18*z^2 + (3*z^2)/a^2 + 41*a^2*z^2 - 38*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 
   18*z^4 + (3*z^4)/a^2 + 39*a^2*z^4 - 34*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2315] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 25*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2316] -> 3 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 - a^2 + 
   6*z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 2317] -> 
  -2 + 2/a^10 - 9/a^8 + 15/a^6 - 14/a^4 + 9/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (17*z^2)/a^8 + (35*z^2)/a^6 - (35*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (32*z^4)/a^6 - (36*z^4)/a^4 + (21*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2318] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2319] -> -2 - a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2320] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2321] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 20*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2322] -> -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 + 
   3*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + (20*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (20*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 2323] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + 2*a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 2324] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2325] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 11/a^6 - 3/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (30*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (32*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 2326] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 22*z^2 + (5*z^2)/a^2 + 30*a^2*z^2 - 
   8*a^4*z^2 - a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - a^4*z^4 - 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 2327] -> 5 + a^(-4) - 4/a^2 - a^2 + a^4 - a^6 + 
   9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   7*z^4 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 2328] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2329] -> 
  -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 11*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 12*a^4*z^4 - 
   6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 2330] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (24*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2331] -> 
  -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2332] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 + 
   6*a^4*z^2 - 5*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 + 11*a^4*z^4 - 
   6*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 2333] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 7*z^2 + 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 2*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 11*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 2334] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2335] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2336] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2337] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2338] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2339] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2340] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2341] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2342] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (7*z^2)/a^10 + (29*z^2)/a^8 - (38*z^2)/a^6 + (18*z^2)/a^4 - 
   (11*z^4)/a^10 + (52*z^4)/a^8 - (71*z^4)/a^6 + (24*z^4)/a^4 - 
   (6*z^6)/a^10 + (41*z^6)/a^8 - (65*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 2343] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^10 + (15*z^2)/a^8 - 
   (14*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (16*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2344] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (9*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2345] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2346] -> 
  1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (9*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2347] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 22*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 2348] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 2349] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 24*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2350] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 16*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2351] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   10*a^2*z^2 + 6*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 16*a^2*z^4 + 
   7*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 2352] -> -5 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 + 3*a^2 - 
   15*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2353] -> -a^(-16) + 6/a^14 - 13/a^12 + 14/a^10 - 
   10/a^8 + 4/a^6 + a^(-4) + (5*z^2)/a^14 - (23*z^2)/a^12 + (37*z^2)/a^10 - 
   (28*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + 
   (33*z^4)/a^10 - (31*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (10*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2354] -> -9 + 2/a^6 - 9/a^4 + 13/a^2 + 7*a^2 - 3*a^4 - 
   22*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (29*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 22*z^4 + z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2355] -> 
  4 + a^(-8) - 4/a^6 + 5/a^4 - 4/a^2 - a^4 + 7*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 2356] -> 
  a^(-12) - 9/a^8 + 11/a^6 - a^(-4) - a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   (11*z^2)/a^8 + (27*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (26*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2357] -> -a^(-16) + 6/a^14 - 11/a^12 + 
   6/a^10 + a^(-4) + (5*z^2)/a^14 - (20*z^2)/a^12 + (19*z^2)/a^10 - z^2/a^8 + 
   (3*z^2)/a^4 - (9*z^4)/a^12 + (20*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (7*z^6)/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2358] -> 
  -9 + 2/a^6 - 9/a^4 + 13/a^2 + 7*a^2 - 3*a^4 - 22*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (29*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (28*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2359] -> 
  -12 - 4/a^4 + 12/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 30*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 30*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2360] -> 
  4 - 2/a^6 + 5/a^4 - 4/a^2 - 3*a^2 + a^6 + 7*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (10*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2361] -> 
  -a^(-14) + a^(-12) + 6/a^10 - 12/a^8 + 5/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 + (8*z^2)/a^10 - (25*z^2)/a^8 + (9*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (24*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2362] -> 
  1 + 2/a^6 - 9/a^4 + 9/a^2 - a^2 - a^4 + 9*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 17*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (15*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2363] -> -2 + a^2 + 6*a^4 - 2*a^6 - 3*a^8 + a^10 - 
   3*z^2 - z^2/a^2 + 5*a^2*z^2 + 10*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2364] -> 7 - a^(-4) - a^(-2) - 3*a^2 - 3*a^4 + 2*a^6 + 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2365] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2366] -> -3 + 3/a^8 - 11/a^6 + 9/a^4 + 3/a^2 - 9*z^2 + 
   (6*z^2)/a^8 - (28*z^2)/a^6 + (28*z^2)/a^4 + (9*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (39*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2367] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2368] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2369] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (21*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (37*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 2370] -> 
  1 - a^(-12) + 2/a^10 - 2/a^6 + a^(-4) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2371] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2372] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 4*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (24*z^2)/a^4 - 6*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + (38*z^4)/a^4 + 
   z^4/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - 
   z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2373] -> -a^(-14) + 6/a^12 - 9/a^10 + a^(-8) + 4/a^6 - 
   (6*z^2)/a^14 + (28*z^2)/a^12 - (36*z^2)/a^10 + (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^4)/a^14 + (38*z^4)/a^12 - (54*z^4)/a^10 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (41*z^6)/a^10 - 
   (10*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 2374] -> 
  -a^(-14) + 5/a^12 - 6/a^10 - a^(-8) + 3/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (11*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2375] -> -a^(-14) + 4/a^12 - 3/a^10 - 3/a^8 + 2/a^6 + 
   2/a^4 - (2*z^2)/a^14 + (9*z^2)/a^12 - (5*z^2)/a^10 - (11*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (6*z^4)/a^10 - 
   (17*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 2376] -> -a^(-14) + 4/a^12 - 3/a^10 - 
   3/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 2377] -> 
  -a^(-14) + 4/a^12 - 4/a^10 + a^(-4) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - 
   (6*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 2378] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (21*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (37*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2379] -> 7 - a^(-4) - a^(-2) - 3*a^2 - 3*a^4 + 2*a^6 + 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2380] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2381] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (17*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2382] -> 
  -2 + a^2 + 6*a^4 - 2*a^6 - 3*a^8 + a^10 - 3*z^2 - z^2/a^2 + 5*a^2*z^2 + 
   10*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   7*a^2*z^4 + 4*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2383] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2384] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2385] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2386] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2387] -> -a^(-4) + 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2388] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2389] -> 
  -3/a^14 + 12/a^12 - 13/a^10 - a^(-8) + 6/a^6 - (7*z^2)/a^14 + 
   (33*z^2)/a^12 - (38*z^2)/a^10 - (4*z^2)/a^8 + (17*z^2)/a^6 - 
   (5*z^4)/a^14 + (37*z^4)/a^12 - (50*z^4)/a^10 - (10*z^4)/a^8 + 
   (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (37*z^6)/a^10 - (12*z^6)/a^8 + 
   (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 2390] -> 
  -2/a^14 + 7/a^12 - 5/a^10 - 4/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (10*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - (17*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2391] -> -a^(-14) + 3/a^12 - 5/a^8 + a^(-6) + 3/a^4 - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (6*z^2)/a^10 - (11*z^2)/a^8 + z^2/a^6 + 
   (7*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (12*z^4)/a^10 - (13*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (9*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2392] -> -a^(-14) + 3/a^12 - a^(-10) - 2/a^8 - 
   a^(-6) + 2/a^4 + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 2393] -> 
  -2/a^14 + 8/a^12 - 8/a^10 - 2/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (9*z^2)/a^10 - (12*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - (21*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2394] -> 
  -3 + 3/a^8 - 11/a^6 + 9/a^4 + 3/a^2 - 9*z^2 + (6*z^2)/a^8 - (28*z^2)/a^6 + 
   (28*z^2)/a^4 + (9*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (39*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2395] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2396] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2397] -> -2/a^14 + 8/a^12 - 8/a^10 - 2/a^8 + 4/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (11*z^2)/a^12 - (9*z^2)/a^10 - (12*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2398] -> 1 - a^(-12) + 2/a^10 - 2/a^6 + a^(-4) + 
   2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2399] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2400] -> -3/a^14 + 12/a^12 - 13/a^10 - a^(-8) + 
   6/a^6 - (7*z^2)/a^14 + (33*z^2)/a^12 - (38*z^2)/a^10 - (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^4)/a^14 + (37*z^4)/a^12 - (50*z^4)/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (37*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 2401] -> 
  -2/a^14 + 7/a^12 - 5/a^10 - 4/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (10*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - (17*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2402] -> -a^(-14) + 2/a^12 + 3/a^10 - 7/a^8 + 4/a^4 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (13*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (13*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2403] -> -a^(-14) + 3/a^12 - 2/a^10 + a^(-8) - 3/a^6 + 
   a^(-4) + 2/a^2 - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 - (5*z^2)/a^6 + 
   (3*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 2404] -> 1 - a^(-14) + 3/a^12 - 2/a^10 - 
   a^(-4) + a^(-2) + z^2 + (3*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2, Knot[15, Alternating, 2405] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 30*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (26*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 30*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (31*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2406] -> -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 13*z^2 + 
   (2*z^2)/a^2 + 31*a^2*z^2 - 28*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 34*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2407] -> 
  -a^4 - a^6 + 13*a^8 - 13*a^10 + 3*a^12 - 7*a^4*z^2 + 4*a^6*z^2 + 
   45*a^8*z^2 - 38*a^10*z^2 + 7*a^12*z^2 - 11*a^4*z^4 + 11*a^6*z^4 + 
   62*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 12*a^6*z^6 + 
   43*a^8*z^6 - 19*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 15*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 2408] -> 
  -2*a^4 + 4*a^6 + 5*a^8 - 8*a^10 + 2*a^12 - 2*a^2*z^2 - 3*a^4*z^2 + 
   16*a^6*z^2 + 12*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   21*a^6*z^4 + 13*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   13*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 2409] -> -3*a^4 + 9*a^6 - 3*a^8 - 3*a^10 + a^12 - 
   2*a^2*z^2 - 4*a^4*z^2 + 23*a^6*z^2 - a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 - a^4*z^4 + 24*a^6*z^4 + 5*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 2410] -> 
  4/a^12 - 16/a^10 + 17/a^8 - 4/a^6 + (14*z^2)/a^12 - (60*z^2)/a^10 + 
   (74*z^2)/a^8 - (18*z^2)/a^6 + (16*z^4)/a^12 - (82*z^4)/a^10 + 
   (115*z^4)/a^8 - (30*z^4)/a^6 + (7*z^6)/a^12 - (54*z^6)/a^10 + 
   (91*z^6)/a^8 - (23*z^6)/a^6 + z^8/a^12 - (17*z^8)/a^10 + (41*z^8)/a^8 - 
   (8*z^8)/a^6 - (2*z^10)/a^10 + (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 2411] -> 3/a^12 - 11/a^10 + 9/a^8 + a^(-6) - a^(-4) + 
   (7*z^2)/a^12 - (27*z^2)/a^10 + (23*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^4)/a^12 - (26*z^4)/a^10 + (24*z^4)/a^8 + (18*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (15*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2412] -> 2/a^12 - 6/a^10 + a^(-8) + 6/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (17*z^2)/a^10 + (6*z^2)/a^8 + (21*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (11*z^4)/a^8 + (25*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2413] -> -8 - a^(-4) + 4/a^2 + 11*a^2 - 6*a^4 + a^6 - 
   27*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 29*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 32*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 29*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2414] -> 2/a^12 - 6/a^10 + a^(-8) + 6/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (10*z^2)/a^10 + (2*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (2*z^4)/a^8 + (13*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2415] -> 
  2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2416] -> 
  -a^2 + 2*a^4 + a^6 + 2*a^8 - 4*a^10 + a^12 - z^2 - a^2*z^2 + 6*a^4*z^2 + 
   4*a^6*z^2 + 5*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 + 6*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 2417] -> 2/a^12 - 7/a^10 + 6/a^8 - 
   2/a^6 + 3/a^4 - a^(-2) + (3*z^2)/a^12 - (12*z^2)/a^10 + (12*z^2)/a^8 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (9*z^4)/a^8 + (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2418] -> -2 + 7*a^2 - 8*a^4 + 8*a^6 - 5*a^8 + a^10 - 
   z^2 - z^2/a^2 + 14*a^2*z^2 - 21*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 
   3*a^4*z^8, Knot[15, Alternating, 2419] -> -6 - 2/a^4 + 7/a^2 + 3*a^4 - 
   a^6 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 2420] -> -3*a^4 + 9*a^6 - 3*a^8 - 3*a^10 + 
   a^12 - z^2 - a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - 
   z^4 + 3*a^4*z^4 + 13*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 2421] -> 
  -16 + a^(-6) - 7/a^4 + 16/a^2 + 9*a^2 - 2*a^4 - 37*z^2 + (3*z^2)/a^6 - 
   (18*z^2)/a^4 + (39*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (39*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2422] -> 
  -1 + 3*a^2 - 5*a^4 + 11*a^6 - 9*a^8 + 2*a^10 - 4*z^2 + 13*a^2*z^2 - 
   19*a^4*z^2 + 31*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 
   25*a^4*z^4 + 32*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 
   16*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 2423] -> -1 + 2*a^2 + 3*a^6 - 4*a^8 + 
   a^10 + z^2 - z^2/a^2 + 2*a^2*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 2424] -> 
  a^(-12) - a^(-10) - 7/a^8 + 11/a^6 - 3/a^4 + (4*z^2)/a^12 - (10*z^2)/a^10 - 
   (9*z^2)/a^8 + (32*z^2)/a^6 - (10*z^2)/a^4 + (4*z^4)/a^12 - (16*z^4)/a^10 + 
   (36*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (7*z^6)/a^8 + 
   (21*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 2425] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 3/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (5*z^2)/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2426] -> 
  -2 + 7*a^2 - 8*a^4 + 8*a^6 - 5*a^8 + a^10 - z^2 - z^2/a^2 + 14*a^2*z^2 - 
   21*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 2427] -> -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 8*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 27*a^2*z^2 - 23*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 26*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 
   z^6 - (2*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + z^8 + 3*a^2*z^8, 
 Knot[15, Alternating, 2428] -> -6 - 2/a^4 + 7/a^2 + 3*a^4 - a^6 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2429] -> -13 - a^(-4) + 5/a^2 + 19*a^2 - 11*a^4 + 
   2*a^6 - 34*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 42*a^2*z^2 - 20*a^4*z^2 + 
   3*a^6*z^2 - 35*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 37*a^2*z^4 - 
   13*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 16*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2430] -> -2 - a^(-4) + 3/a^2 - 2*a^2 + 7*a^4 - 5*a^6 + 
   a^8 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 14*a^4*z^2 - 
   7*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 
   10*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 2431] -> 
  -13 - a^(-4) + 5/a^2 + 19*a^2 - 11*a^4 + 2*a^6 - 34*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 42*a^2*z^2 - 20*a^4*z^2 + 3*a^6*z^2 - 35*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 37*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2432] -> 
  4/a^10 - 15/a^8 + 16/a^6 - 4/a^4 + (2*z^2)/a^12 - (26*z^2)/a^8 + 
   (42*z^2)/a^6 - (12*z^2)/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 - (13*z^4)/a^8 + 
   (43*z^4)/a^6 - (13*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (2*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 2433] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 5/a^6 + 7/a^4 - 2/a^2 + (2*z^2)/a^12 - 
   (7*z^2)/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 + (12*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + (2*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 2434] -> 
  -1 + a^(-12) - 3/a^10 + 2/a^8 - a^(-4) + 3/a^2 - 2*z^2 + z^2/a^12 - 
   (4*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^2 - z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + z^6/a^8 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[15, Alternating, 2435] -> 
  -3 + a^(-10) - 5/a^8 + 10/a^6 - 13/a^4 + 11/a^2 - 9*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (33*z^2)/a^4 + (30*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (34*z^4)/a^4 + (34*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2436] -> 
  -2 + 6*a^2 - 5*a^4 + 5*a^6 - 4*a^8 + a^10 - 5*z^2 + 15*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 
   10*a^4*z^4 + a^8*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 - 5*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 2437] -> 3 - a^(-2) - 4*a^2 + 7*a^4 - 
   5*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 13*a^4*z^2 - 10*a^6*z^2 + 
   3*a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - 8*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 2438] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (10*z^2)/a^8 - (43*z^2)/a^6 + 
   (56*z^2)/a^4 - (19*z^2)/a^2 + (12*z^4)/a^8 - (61*z^4)/a^6 + (86*z^4)/a^4 - 
   (27*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + (71*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 2439] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 6*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (16*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (18*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 2440] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 9*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - 
   (4*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 2441] -> 3 + a^(-8) - 3/a^6 + 3/a^4 - 
   2/a^2 - a^2 + 7*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 2442] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 49*z^2 + (9*z^2)/a^4 - (38*z^2)/a^2 - 
   18*a^2*z^2 + 82*z^4 + (12*z^4)/a^4 - (59*z^4)/a^2 - 26*a^2*z^4 + 70*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 2443] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 24*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (12*z^2)/a^2 - 10*a^2*z^2 + 28*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 2444] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + 9*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 2445] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 5*z^2 + 
   z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2446] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2447] -> 
  -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 11*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 12*a^4*z^4 - 
   6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 2448] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (24*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2449] -> 
  -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2450] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 + 
   6*a^4*z^2 - 5*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 + 11*a^4*z^4 - 
   6*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 2451] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 7*z^2 + 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 2*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 11*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 2452] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2453] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 + 7*z^2 - 29*a^2*z^2 + 41*a^4*z^2 - 15*a^6*z^2 + 
   11*z^4 - 52*a^2*z^4 + 72*a^4*z^4 - 23*a^6*z^4 + 6*z^6 - 41*a^2*z^6 + 
   65*a^4*z^6 - 18*a^6*z^6 + z^8 - 15*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 2454] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 24*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 2455] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 5*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 13*a^4*z^2 - 
   6*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 2456] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 2457] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 2458] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - (7*z^2)/a^10 + (29*z^2)/a^8 - 
   (38*z^2)/a^6 + (18*z^2)/a^4 - (11*z^4)/a^10 + (52*z^4)/a^8 - 
   (71*z^4)/a^6 + (24*z^4)/a^4 - (6*z^6)/a^10 + (41*z^6)/a^8 - (65*z^6)/a^6 + 
   (18*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 2459] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (15*z^2)/a^8 - (14*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (18*z^4)/a^8 - (16*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2460] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (9*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2461] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2462] -> 
  1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (9*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2463] -> -2 + 10*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 
   8*z^2 + z^2/a^2 + 25*a^2*z^2 - 30*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2464] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - (6*z^2)/a^8 + (23*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (30*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + z^6/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 2465] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 18*z^2 - (9*z^2)/a^6 + (38*z^2)/a^4 - 
   (49*z^2)/a^2 + 26*z^4 - (12*z^4)/a^6 + (59*z^4)/a^4 - (82*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (70*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 2466] -> 3 - 2/a^6 + 8/a^4 - 9/a^2 + a^2 - 
   z^2 - (5*z^2)/a^6 + (20*z^2)/a^4 - (21*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (20*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 2467] -> 
  4 - a^(-8) + 3/a^6 - 5/a^2 + 9*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (4*z^2)/a^4 - (17*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (9*z^4)/a^4 - (22*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 2468] -> 
  2 - a^(-8) + 3/a^6 - 4/a^2 + a^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 2469] -> 
  -3*a^4 + 9*a^6 - 2*a^8 - 5*a^10 + 2*a^12 - a^2*z^2 - 7*a^4*z^2 + 
   26*a^6*z^2 - 2*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 29*a^6*z^4 + 2*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   16*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 2470] -> 10 + a^(-6) - 3/a^4 - 2/a^2 - 5*a^2 + 
   26*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 30*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 2471] -> 
  12 - 3/a^2 - 13*a^2 + 5*a^4 + 43*z^2 - (10*z^2)/a^2 - 55*a^2*z^2 + 
   20*a^4*z^2 + 61*z^4 - (12*z^4)/a^2 - 86*a^2*z^4 + 27*a^4*z^4 + 43*z^6 - 
   (6*z^6)/a^2 - 71*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 2472] -> 4 - a^(-4) + 2/a^2 - 8*a^2 + 4*a^4 + 5*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 23*a^2*z^2 + 10*a^4*z^2 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 27*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 2473] -> 
  -4 - 2/a^4 + 7/a^2 - 3*a^2 + 3*a^4 - 15*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - 18*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 - 
   14*a^2*z^4 + 7*a^4*z^4 - 12*z^6 - z^6/a^4 + (10*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 2474] -> 1 - a^(-6) + 3/a^4 - a^(-2) - 4*a^2 + 3*a^4 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 2475] -> 3 + a^(-6) - 3/a^4 + 3*a^2 - 3*a^4 - z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 
   10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2476] -> 
  5/a^12 - 16/a^10 + 12/a^8 + 2/a^6 - 2/a^4 + (8*z^2)/a^12 - (41*z^2)/a^10 + 
   (43*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^12 - (40*z^4)/a^10 + 
   (59*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + 
   (40*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2477] -> 3/a^12 - 9/a^10 + 5/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + (3*z^2)/a^12 - (17*z^2)/a^10 + (13*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + 
   (16*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2478] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 
   8/a^4 + 3/a^2 - a^2 + 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - 
   (17*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (15*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2479] -> -3 + 5*a^2 + a^4 - 3*a^8 + a^10 - 4*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2480] -> -2/a^18 + 10/a^16 - 14/a^14 + 2/a^12 + 
   4/a^10 + a^(-8) - z^2/a^18 + (15*z^2)/a^16 - (37*z^2)/a^14 + 
   (11*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (31*z^4)/a^14 + (21*z^4)/a^12 + (28*z^4)/a^10 + (6*z^4)/a^8 - 
   (8*z^6)/a^14 + (16*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2481] -> 
  -9 - 3/a^4 + 9/a^2 + 4*a^2 + a^4 - a^6 - 17*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 2482] -> -1 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   a^(-2) + a^4 + (4*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 2483] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 4/a^2 - 
   a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2484] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2485] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2486] -> -2/a^18 + 9/a^16 - 11/a^14 + 
   3/a^10 + 2/a^8 - z^2/a^18 + (14*z^2)/a^16 - (32*z^2)/a^14 + (8*z^2)/a^12 + 
   (13*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - (29*z^4)/a^14 + 
   (20*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 - (8*z^6)/a^14 + 
   (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2487] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 2/a^12 - a^(-10) + 2/a^8 + a^(-6) + 
   (5*z^2)/a^16 - (15*z^2)/a^14 + (6*z^2)/a^12 + (2*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (8*z^4)/a^14 + (8*z^4)/a^12 + (7*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 2488] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (14*z^2)/a^8 + (22*z^2)/a^6 - 
   (13*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (22*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2489] -> 
  1 + a^(-6) - 4/a^4 + 3/a^2 + 2*a^2 - 2*a^4 - 3*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (22*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2490] -> 
  -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 2*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 2491] -> 
  4/a^12 - 13/a^10 + 10/a^8 + a^(-6) - a^(-4) + (8*z^2)/a^12 - 
   (39*z^2)/a^10 + (42*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^4)/a^12 - 
   (40*z^4)/a^10 + (59*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (18*z^6)/a^10 + (40*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2492] -> 3/a^12 - 10/a^10 + 8/a^8 + (3*z^2)/a^12 - 
   (17*z^2)/a^10 + (15*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2493] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 4/a^2 - 
   a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (20*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (23*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2494] -> -a^(-18) + 6/a^16 - 9/a^14 + a^(-12) + 
   2/a^10 + 2/a^8 - z^2/a^18 + (12*z^2)/a^16 - (31*z^2)/a^14 + 
   (12*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - 
   (29*z^4)/a^14 + (24*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^6)/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2495] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + 4/a^12 + a^(-8) + a^(-6) + (5*z^2)/a^16 - 
   (17*z^2)/a^14 + (7*z^2)/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   (8*z^4)/a^14 + (8*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 2496] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2497] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (11*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 2498] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 + (3*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2499] -> 2 - 2/a^4 + 3/a^2 - a^2 - 3*a^4 + 2*a^6 - 
   6*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2500] -> 
  -3/a^14 + 12/a^12 - 15/a^10 + 3/a^8 + 4/a^6 - (7*z^2)/a^14 + 
   (33*z^2)/a^12 - (43*z^2)/a^10 + (8*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (37*z^4)/a^12 - (54*z^4)/a^10 + (3*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (38*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 2501] -> 
  -2/a^14 + 7/a^12 - 7/a^10 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (13*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (11*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2502] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 2503] -> -a^(-8) + a^(-6) + a^(-2) - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (25*z^4)/a^8 - (29*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2504] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2505] -> -1 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 - a^2 + 
   a^4 - 3*z^2 - z^2/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (12*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 2506] -> 
  -2 + a^(-10) - 2/a^8 - a^(-6) + a^(-4) + 4/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2507] -> -3 + 4/a^8 - 15/a^6 + 14/a^4 + a^(-2) - 
   9*z^2 + (8*z^2)/a^8 - (39*z^2)/a^6 + (44*z^2)/a^4 + (3*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^8 - (40*z^4)/a^6 + (58*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (40*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2508] -> a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^14 - z^2/a^12 + (12*z^2)/a^10 - (17*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (4*z^4)/a^10 - (19*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2509] -> -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 2/a^4 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (10*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2510] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   3*z^2 + z^2/a^6 - (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2511] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (12*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (31*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2512] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^10 - z^2/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (7*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2513] -> 
  -2 + a^2 + 6*a^4 - a^6 - 5*a^8 + 2*a^10 - 5*z^2 + 5*a^2*z^2 + 10*a^4*z^2 + 
   8*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 10*a^2*z^4 + 3*a^4*z^4 + 
   18*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2514] -> -4 + 5/a^8 - 18/a^6 + 16/a^4 + 2/a^2 - 
   12*z^2 + (9*z^2)/a^8 - (44*z^2)/a^6 + (47*z^2)/a^4 + (8*z^2)/a^2 - 
   13*z^4 + (5*z^4)/a^8 - (42*z^4)/a^6 + (59*z^4)/a^4 + (15*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (18*z^6)/a^6 + (40*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2515] -> 1 + 2/a^8 - 7/a^6 + 4/a^4 + 3/a^2 - 2*a^2 + 
   3*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 
   5*a^2*z^2 + 5*z^4 + z^4/a^8 - (12*z^4)/a^6 + (14*z^4)/a^4 + (14*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 2516] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + (13*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (12*z^6)/a^6 + (18*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2517] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2518] -> 
  -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2519] -> 
  -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (27*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (39*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 2520] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (5*z^2)/a^10 + (18*z^2)/a^8 - 
   (13*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (30*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2521] -> -2/a^14 + 8/a^12 - 10/a^10 + 2/a^8 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (11*z^2)/a^12 - (14*z^2)/a^10 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2522] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (19*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2523] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2524] -> 10 - 5/a^2 - 3*a^2 - a^4 + 23*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 23*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2525] -> -3 + 4/a^8 - 15/a^6 + 14/a^4 + a^(-2) - 
   9*z^2 + (6*z^2)/a^8 - (31*z^2)/a^6 + (34*z^2)/a^4 + (7*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (41*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2526] -> 3/a^12 - 8/a^10 + 2/a^8 + 6/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (23*z^2)/a^10 + (16*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (32*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2527] -> a^(-12) - a^(-10) - 5/a^8 + 
   6/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 - (4*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (3*z^4)/a^8 + (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2528] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2529] -> 
  -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 4*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + 
   (30*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (40*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2530] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2531] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2532] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 2533] -> -a^(-8) + a^(-6) + a^(-2) - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (25*z^4)/a^8 - (29*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2534] -> -3 - 3/a^6 + 6/a^4 - a^(-2) + 2*a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (20*z^2)/a^4 - (12*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^6 + (26*z^4)/a^4 - (28*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 2535] -> -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 2536] -> -1 + a^(-6) - 5/a^4 + 6/a^2 + 
   a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2537] -> 3/a^12 - 10/a^10 + 8/a^8 + (5*z^2)/a^12 - 
   (26*z^2)/a^10 + (29*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (28*z^4)/a^10 + (41*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (30*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2538] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 2539] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - 
   a^(-2) - 4*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (30*z^2)/a^4 - (2*z^2)/a^2 - 
   6*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + (40*z^4)/a^4 + z^4/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2540] -> -a^(-18) + 6/a^16 - 9/a^14 + a^(-12) + 
   2/a^10 + 2/a^8 + (6*z^2)/a^16 - (20*z^2)/a^14 + (6*z^2)/a^12 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (11*z^4)/a^14 + (11*z^4)/a^12 + 
   (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 2541] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - z^2/a^14 + z^2/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (6*z^4)/a^10 - (23*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 2542] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - 
   z^2/a^14 + (4*z^2)/a^12 - (10*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2543] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   3*z^2 + z^2/a^6 - (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2544] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (12*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (31*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2545] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + z^2/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2546] -> 
  1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - a^(-2) + 3*z^2 - z^2/a^10 - 
   z^2/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2547] -> -a^(-8) + a^(-6) + a^(-2) - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (15*z^4)/a^8 - (12*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2548] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (6*z^4)/a^10 - (23*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2549] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - 
   (10*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (7*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2550] -> 
  -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (17*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (31*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2551] -> 
  -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 2552] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - 
   a^(-2) + z^2/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2553] -> -1 - 2/a^4 + 4/a^2 + a^2 - 2*a^4 + a^6 - 
   11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2554] -> 
  -1 - 2/a^8 + 5/a^6 - 2/a^4 - a^(-2) + 2*a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2555] -> 
  -3/a^10 + 10/a^8 - 11/a^6 + 3/a^4 + 2/a^2 - (8*z^2)/a^10 + (36*z^2)/a^8 - 
   (40*z^2)/a^6 + (5*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^10 + (40*z^4)/a^8 - 
   (57*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (40*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2556] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - 
   (4*z^4)/a^6 + (26*z^4)/a^4 - (28*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 2557] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2558] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (14*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2559] -> -3 - 2/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + a^2 + 
   a^4 - 6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2560] -> -a^(-12) + 8/a^8 - 12/a^6 + 4/a^4 + 2/a^2 - 
   (3*z^2)/a^12 + (9*z^2)/a^10 + (9*z^2)/a^8 - (27*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (3*z^4)/a^8 - (28*z^4)/a^6 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 2561] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (4*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 2562] -> 14 + 2/a^4 - 11/a^2 - a^2 - 
   3*a^4 + 48*z^2 + (7*z^2)/a^4 - (38*z^2)/a^2 + a^2*z^2 - 10*a^4*z^2 + 
   65*z^4 + (5*z^4)/a^4 - (42*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 44*z^6 + 
   z^6/a^4 - (19*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 2563] -> 
  12 + a^(-4) - 8/a^2 - 2*a^2 - 2*a^4 + 27*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (9*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 27*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2564] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (16*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (31*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2565] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (12*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2566] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 2567] -> -2 + 3/a^8 - 12/a^6 + 12/a^4 - 
   7*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + (33*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (41*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2568] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - 
   (4*z^4)/a^6 + (26*z^4)/a^4 - (28*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 2569] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (18*z^2)/a^8 - (13*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (30*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 2570] -> -1 - a^(-8) + a^(-6) + a^(-4) + 
   a^2 - 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 2571] -> 
  -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2572] -> 
  -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (27*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (39*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 2573] -> 
  -3 - 3/a^6 + 6/a^4 - a^(-2) + 2*a^2 - 9*z^2 - (5*z^2)/a^6 + (20*z^2)/a^4 - 
   (12*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + (26*z^4)/a^4 - 
   (28*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + (15*z^6)/a^4 - 
   (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 2574] -> 
  -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   z^2/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (4*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2575] -> -a^(-2) + 5*a^2 - 3*a^4 - 8*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2576] -> 
  10 - 5/a^2 - 3*a^2 - a^4 + 23*z^2 + z^2/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 23*z^4 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 2577] -> 
  -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (17*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (31*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2578] -> 
  -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 2579] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 
   3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - 
   (19*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2580] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2581] -> 3/a^12 - 8/a^10 + 2/a^8 + 6/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (23*z^2)/a^10 + (16*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (32*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2582] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (13*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2583] -> -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (13*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2584] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2585] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (16*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (31*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2586] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2587] -> a^(-12) - a^(-10) - 5/a^8 + 6/a^6 + a^(-4) - 
   a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + 
   (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2588] -> a^(-10) - 3/a^8 + 3/a^6 - 4/a^4 + 
   5/a^2 - a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2589] -> -2 + a^2 + 6*a^4 - a^6 - 5*a^8 + 2*a^10 - 
   5*z^2 + 5*a^2*z^2 + 10*a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 10*a^2*z^4 + 3*a^4*z^4 + 18*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 2590] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 4/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (3*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (21*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2591] -> 
  -2 + 3/a^8 - 12/a^6 + 12/a^4 - 7*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + 
   (33*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (41*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (30*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2592] -> 
  -2/a^14 + 8/a^12 - 10/a^10 + 2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (14*z^2)/a^10 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (8*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2593] -> 
  1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2594] -> -a^(-14) + 5/a^12 - 8/a^10 + 
   3/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (13*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (8*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2595] -> 
  -3 + 4/a^8 - 15/a^6 + 14/a^4 + a^(-2) - 9*z^2 + (6*z^2)/a^8 - 
   (31*z^2)/a^6 + (34*z^2)/a^4 + (7*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - 
   (30*z^4)/a^6 + (41*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2596] -> 3/a^12 - 9/a^10 + 5/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + (3*z^2)/a^12 - (17*z^2)/a^10 + (13*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + 
   (16*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2597] -> -2/a^14 + 7/a^12 - 7/a^10 + 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (13*z^2)/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (11*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2598] -> 
  -2/a^18 + 9/a^16 - 11/a^14 + 3/a^10 + 2/a^8 - z^2/a^18 + (14*z^2)/a^16 - 
   (32*z^2)/a^14 + (8*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + 
   (5*z^4)/a^16 - (29*z^4)/a^14 + (20*z^4)/a^12 + (20*z^4)/a^10 + 
   (9*z^4)/a^8 - (8*z^6)/a^14 + (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2599] -> 
  -4 + 5/a^8 - 18/a^6 + 16/a^4 + 2/a^2 - 12*z^2 + (9*z^2)/a^8 - 
   (44*z^2)/a^6 + (47*z^2)/a^4 + (8*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (42*z^4)/a^6 + (59*z^4)/a^4 + (15*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (40*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2600] -> -6 + a^(-8) - 4/a^6 + 3/a^4 + 4/a^2 + 4*a^2 - 
   a^4 - 16*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 2601] -> 
  -6 - a^(-8) + 6/a^6 - 14/a^4 + 15/a^2 + a^2 - 17*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (32*z^2)/a^4 + (36*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + (37*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2602] -> 
  -13 - a^(-4) + 6/a^2 + 15*a^2 - 7*a^4 + a^6 - 35*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 33*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 37*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 30*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2603] -> 
  -2*a^2 + 5*a^4 - a^6 + a^8 - 3*a^10 + a^12 - 5*a^2*z^2 + 10*a^4*z^2 + 
   4*a^6*z^2 + 5*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   9*a^6*z^4 + 9*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   7*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 2604] -> -11 + 2/a^6 - 9/a^4 + 15/a^2 + 5*a^2 - a^4 - 
   31*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (34*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 34*z^4 + z^4/a^6 - (12*z^4)/a^4 + (32*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2605] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 - 
   (4*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 2606] -> -2 + 7*a^2 - 8*a^4 + 8*a^6 - 5*a^8 + a^10 - 
   z^2 - z^2/a^2 + 14*a^2*z^2 - 21*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 
   3*a^4*z^8, Knot[15, Alternating, 2607] -> -2 + 7*a^2 - 8*a^4 + 8*a^6 - 
   5*a^8 + a^10 - z^2 - z^2/a^2 + 14*a^2*z^2 - 21*a^4*z^2 + 20*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 22*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - 
   a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 2608] -> 
  -3 + 11*a^2 - 11*a^4 + 5*a^6 - a^8 - 8*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   27*a^2*z^2 - 23*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 26*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   12*a^2*z^6 - 6*a^4*z^6 + z^8 + 3*a^2*z^8, Knot[15, Alternating, 2609] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 32*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (22*z^2)/a^2 + 21*a^2*z^2 - 5*a^4*z^2 - 36*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (24*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2610] -> -1 + a^2 + 5*a^4 - 5*a^6 + a^8 - 
   4*z^2 + 8*a^2*z^2 + 8*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 
   13*a^2*z^4 + 2*a^4*z^4 - 16*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   4*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 2611] -> 
  -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^2 + 11*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 2612] -> 
  1 - a^(-2) + 6*a^2 - 9*a^4 + 5*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   12*a^2*z^2 - 21*a^4*z^2 + 9*a^6*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   21*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 2613] -> 
  -8 - a^(-4) + 4/a^2 + 11*a^2 - 6*a^4 + a^6 - 23*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 31*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 25*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 2614] -> -1 + 2/a^6 - 8/a^4 + 9/a^2 - 
   a^2 + 3*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + (20*z^2)/a^2 - 5*a^2*z^2 + 
   10*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (20*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 2615] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + 2*a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 2616] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 + 7*z^2 - 29*a^2*z^2 + 41*a^4*z^2 - 15*a^6*z^2 + 
   11*z^4 - 52*a^2*z^4 + 72*a^4*z^4 - 23*a^6*z^4 + 6*z^6 - 41*a^2*z^6 + 
   65*a^4*z^6 - 18*a^6*z^6 + z^8 - 15*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 2617] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 24*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 2618] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 5*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 13*a^4*z^2 - 
   6*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 2619] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 2620] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 2621] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 11/a^6 - 3/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (30*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (32*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 2622] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 22*z^2 + (5*z^2)/a^2 + 30*a^2*z^2 - 
   8*a^4*z^2 - a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - a^4*z^4 - 
   3*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 2623] -> -2 + 10*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 
   8*z^2 + z^2/a^2 + 25*a^2*z^2 - 30*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2624] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - (6*z^2)/a^8 + (23*z^2)/a^6 - 
   (25*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (30*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + z^6/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 2625] -> 
  -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2626] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^6 + (9*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 2627] -> 1 - a^(-12) + 5/a^10 - 9/a^8 + 
   7/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2628] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2629] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 
   2/a^4 - 2/a^2 + a^2 - z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (8*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 2630] -> -3 - 2/a^8 + 6/a^6 - 7/a^4 + 6/a^2 + a^4 - 
   4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2631] -> 
  -2 - a^(-6) + 2/a^4 + 2*a^2 + a^4 - a^6 - 7*z^2 + (5*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 2632] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 2633] -> -a^(-14) + 4/a^12 - 4/a^10 - 
   2/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (5*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2634] -> 
  -a^(-4) + a^(-2) + 4*a^2 - 4*a^4 + a^6 - 8*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2635] -> 
  -2 - 2/a^4 + 4/a^2 + 3*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2636] -> 
  8 + a^(-6) - 4/a^4 - 3*a^2 - a^4 + 19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 21*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 2637] -> 
  1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 2/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 2638] -> 
  -1 + 2/a^10 - 5/a^8 - 2/a^6 + 9/a^4 - 2/a^2 - 3*z^2 + (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (2*z^2)/a^6 + (22*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + (23*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 2639] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (8*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2640] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 2641] -> 2 - a^(-12) + 3/a^10 - 4/a^8 + 
   6/a^6 - 6/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + 
   (19*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (21*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2642] -> -a^(-18) + 5/a^16 - 6/a^14 - a^(-12) + 
   2/a^10 + a^(-8) + a^(-6) + (5*z^2)/a^16 - (14*z^2)/a^14 + z^2/a^12 + 
   (8*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^14 + (6*z^4)/a^12 + 
   (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 2643] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2644] -> 3/a^10 - 10/a^8 + 8/a^6 + a^(-4) - a^(-2) + 
   z^2/a^12 - (15*z^2)/a^8 + (20*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2645] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 
   3/a^4 - a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 2646] -> -2 + 2/a^10 - 6/a^8 + 4/a^6 - a^(-4) + 
   4/a^2 - 5*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (11*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 2647] -> -3 + 5/a^8 - 19/a^6 + 19/a^4 - 
   a^(-2) - 9*z^2 + (9*z^2)/a^8 - (46*z^2)/a^6 + (55*z^2)/a^4 - z^2/a^2 - 
   10*z^4 + (5*z^4)/a^8 - (43*z^4)/a^6 + (66*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (42*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2648] -> -2/a^18 + 10/a^16 - 14/a^14 + 3/a^12 + 
   2/a^10 + 2/a^8 - z^2/a^18 + (15*z^2)/a^16 - (37*z^2)/a^14 + 
   (14*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - 
   (31*z^4)/a^14 + (24*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^6)/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2649] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 2650] -> -1 + 2/a^10 - 7/a^8 + 7/a^6 - 
   3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (19*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (23*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2651] -> 
  -2 + 4/a^8 - 16/a^6 + 17/a^4 - 2/a^2 - 7*z^2 + (8*z^2)/a^8 - (40*z^2)/a^6 + 
   (49*z^2)/a^4 - (3*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - (40*z^4)/a^6 + 
   (60*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + z^6/a^8 - (18*z^6)/a^6 + 
   (40*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2652] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2653] -> -1 + a^(-10) - 2/a^8 - 4/a^6 + 8/a^4 - 
   a^(-2) - 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 - (4*z^2)/a^6 + (20*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (21*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2654] -> -2/a^18 + 11/a^16 - 17/a^14 + 5/a^12 + 
   3/a^10 + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (43*z^2)/a^14 + 
   (20*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (30*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 - 
   (8*z^6)/a^14 + (19*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2655] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 4/a^12 + 4/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (13*z^2)/a^14 - (5*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (8*z^4)/a^14 + (3*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 2656] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2657] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 2658] -> -3 + 5*a^2 + a^4 - 3*a^8 + 
   a^10 - 7*z^2 + 13*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   2*z^4 - z^4/a^2 + 13*a^2*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 
   2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2659] -> 3 - a^(-4) + 2*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2660] -> 
  -2 - a^(-6) + 2/a^4 + 2*a^2 + a^4 - a^6 - 7*z^2 + (5*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 2661] -> 
  3/a^10 - 10/a^8 + 8/a^6 + a^(-4) - a^(-2) + z^2/a^12 - (15*z^2)/a^8 + 
   (20*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (5*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2662] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 2663] -> -3 - 2/a^8 + 6/a^6 - 7/a^4 + 
   6/a^2 + a^4 - 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2664] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2665] -> -6 - 3/a^4 + 8/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 18*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 - 24*z^4 - z^4/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2666] -> 
  -3/a^14 + 13/a^12 - 18/a^10 + 6/a^8 + 3/a^6 - (7*z^2)/a^14 + 
   (34*z^2)/a^12 - (48*z^2)/a^10 + (14*z^2)/a^8 + (10*z^2)/a^6 - 
   (5*z^4)/a^14 + (37*z^4)/a^12 - (56*z^4)/a^10 + (7*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (38*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 2667] -> 
  -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - (5*z^2)/a^10 + (21*z^2)/a^8 - 
   (19*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 2668] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^4 + a^6 - 
   6*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2669] -> -2/a^14 + 7/a^12 - 6/a^10 - 3/a^8 + 4/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (12*z^2)/a^10 - (9*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   (14*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2670] -> -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 9*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 + 5*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (23*z^4)/a^4 - (20*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - 
   (25*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 2671] -> 
  -1 - 3/a^6 + 6/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (11*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2672] -> 19 + 3/a^4 - 15/a^2 - 3*a^2 - 3*a^4 + 
   54*z^2 + (7*z^2)/a^4 - (41*z^2)/a^2 - a^2*z^2 - 10*a^4*z^2 + 67*z^4 + 
   (5*z^4)/a^4 - (42*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 44*z^6 + z^6/a^4 - 
   (19*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 2673] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (22*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (33*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 2674] -> 
  10 + a^(-6) - 3/a^4 - 3/a^2 - 2*a^2 - 2*a^4 + 25*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 27*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2675] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (14*z^2)/a^10 + (4*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (24*z^4)/a^10 + (24*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2676] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2677] -> -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 9*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 + 5*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (23*z^4)/a^4 - (20*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - 
   (25*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 2678] -> 
  -1 - 3/a^6 + 6/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (11*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 2679] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (14*z^2)/a^10 + (4*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (24*z^4)/a^10 + (24*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 2680] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2681] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2682] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 
   4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2683] -> -5 - a^(-8) + 2/a^6 - 2/a^4 + 5/a^2 + a^2 + 
   a^4 - 12*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 2684] -> 1 - a^(-2) + 3*a^4 - 3*a^8 + 
   a^10 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2685] -> -2/a^18 + 9/a^16 - 10/a^14 - 3/a^12 + 
   6/a^10 + a^(-8) - z^2/a^18 + (14*z^2)/a^16 - (30*z^2)/a^14 + 
   (22*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - (28*z^4)/a^14 + 
   (13*z^4)/a^12 + (30*z^4)/a^10 + (6*z^4)/a^8 - (8*z^6)/a^14 + 
   (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2686] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 - 
   (2*z^2)/a^12 + (14*z^2)/a^10 - (16*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (6*z^4)/a^10 - (15*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 2687] -> -2 + 2/a^10 - 6/a^8 + 4/a^6 - 
   a^(-4) + 4/a^2 - 5*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (24*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2688] -> 
  -3 + 5/a^8 - 19/a^6 + 19/a^4 - a^(-2) - 9*z^2 + (9*z^2)/a^8 - 
   (46*z^2)/a^6 + (55*z^2)/a^4 - z^2/a^2 - 10*z^4 + (5*z^4)/a^8 - 
   (43*z^4)/a^6 + (66*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (42*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2689] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^6 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2690] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (8*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2691] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (19*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 2692] -> 1 - a^(-10) + 6/a^6 - 8/a^4 + 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2693] -> 
  -1 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 - a^2 + a^4 - z^2/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2694] -> -2/a^18 + 10/a^16 - 14/a^14 + 3/a^12 + 
   2/a^10 + 2/a^8 - z^2/a^18 + (15*z^2)/a^16 - (37*z^2)/a^14 + 
   (14*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - 
   (31*z^4)/a^14 + (24*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^6)/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 2695] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2696] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (22*z^2)/a^6 + (22*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (33*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2697] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 
   3/a^2 - 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + 
   (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2698] -> 1 - a^(-10) + 6/a^6 - 8/a^4 + 3/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (4*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2699] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2700] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (5*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 2701] -> 
  -5 - a^(-8) + 2/a^6 - 2/a^4 + 5/a^2 + a^2 + a^4 - 12*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 9*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 2702] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 
   4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2703] -> 3 - a^(-2) - 2*a^2 - a^4 + 6*a^6 - 5*a^8 + 
   a^10 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 16*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 10*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 2704] -> 
  -1 + 2/a^10 - 9/a^8 + 14/a^6 - 11/a^4 + 6/a^2 - 3*z^2 + (3*z^2)/a^10 - 
   (17*z^2)/a^8 + (34*z^2)/a^6 - (30*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (32*z^4)/a^6 - (34*z^4)/a^4 + (17*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2705] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2706] -> 
  3 + a^(-10) - 5/a^8 + 10/a^6 - 9/a^4 + 2/a^2 - a^2 + 6*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (20*z^2)/a^6 - (19*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (16*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2707] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 18*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2708] -> 
  -2 + a^(-10) - 4/a^8 + 5/a^6 - 5/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2709] -> 3 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^2 - a^2 + 
   6*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2710] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   26*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2711] -> 
  -13 + a^(-6) - 6/a^4 + 13/a^2 + 8*a^2 - 2*a^4 - 32*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (33*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (35*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2712] -> 
  1 - a^(-2) + 6*a^2 - 9*a^4 + 5*a^6 - a^8 - 4*z^2 + 19*a^2*z^2 - 
   24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2713] -> -2 + 7*a^2 - 10*a^4 + 13*a^6 - 9*a^8 + 
   2*a^10 - 5*z^2 + 18*a^2*z^2 - 26*a^4*z^2 + 33*a^6*z^2 - 18*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 19*a^2*z^4 - 29*a^4*z^4 + 33*a^6*z^4 - 13*a^8*z^4 + 
   a^10*z^4 - z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2714] -> -3 + 9*a^2 - 6*a^4 + a^6 - 15*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2715] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2716] -> -4*a^4 + 13*a^6 - 8*a^8 - a^10 + a^12 - 
   a^2*z^2 - 9*a^4*z^2 + 33*a^6*z^2 - 10*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 33*a^6*z^4 - a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 17*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 2717] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + 
   a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2718] -> 
  -2 + a^(-10) - 4/a^8 + 5/a^6 - 5/a^4 + 6/a^2 - z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2719] -> -10 + 2/a^6 - 10/a^4 + 16/a^2 + 
   4*a^2 - a^4 - 26*z^2 + (4*z^2)/a^6 - (22*z^2)/a^4 + (39*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (40*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2720] -> 1 - a^(-2) + 6*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   4*z^2 + 19*a^2*z^2 - 24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 23*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2721] -> 
  -10 + 2/a^6 - 10/a^4 + 16/a^2 + 4*a^2 - a^4 - 26*z^2 + (4*z^2)/a^6 - 
   (22*z^2)/a^4 + (39*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + 
   (3*z^4)/a^6 - (20*z^4)/a^4 + (40*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2722] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 25*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2723] -> -2*a^4 + 3*a^6 + 8*a^8 - 11*a^10 + 3*a^12 - 
   9*a^4*z^2 + 13*a^6*z^2 + 33*a^8*z^2 - 34*a^10*z^2 + 7*a^12*z^2 - 
   12*a^4*z^4 + 18*a^6*z^4 + 51*a^8*z^4 - 38*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 14*a^6*z^6 + 38*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 2724] -> -3*a^4 + 8*a^6 - 6*a^10 + 2*a^12 - 
   2*a^2*z^2 - 4*a^4*z^2 + 21*a^6*z^2 + 5*a^8*z^2 - 14*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 23*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 2725] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^12 + z^2/a^10 - (16*z^2)/a^8 + 
   (24*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (11*z^4)/a^8 + (22*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2726] -> -4*a^4 + 13*a^6 - 8*a^8 - a^10 + 
   a^12 - a^2*z^2 - 9*a^4*z^2 + 33*a^6*z^2 - 10*a^8*z^2 - 7*a^10*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 33*a^6*z^4 - a^8*z^4 - 8*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 17*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   4*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 2727] -> 
  -11 + 2/a^6 - 9/a^4 + 15/a^2 + 5*a^2 - a^4 - 28*z^2 + (4*z^2)/a^6 - 
   (21*z^2)/a^4 + (37*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + 
   (3*z^4)/a^6 - (20*z^4)/a^4 + (39*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2728] -> 
  1 - a^(-2) + 6*a^2 - 9*a^4 + 5*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   12*a^2*z^2 - 21*a^4*z^2 + 9*a^6*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   21*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 2729] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 11*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 2730] -> 2 - a^(-4) + 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 
   4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 13*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 
   2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 13*a^2*z^4 + 2*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2731] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 2732] -> 
  2 - a^(-4) + 2/a^2 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 13*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 13*a^2*z^4 + 2*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2733] -> -2 - a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2734] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2735] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 49*z^2 + (9*z^2)/a^4 - (38*z^2)/a^2 - 
   18*a^2*z^2 + 82*z^4 + (12*z^4)/a^4 - (59*z^4)/a^2 - 26*a^2*z^4 + 70*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 2736] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 24*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (12*z^2)/a^2 - 10*a^2*z^2 + 28*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 2737] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + 9*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 2738] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 5*z^2 + 
   z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2739] -> -a^(-12) + 6/a^10 - 13/a^8 + 11/a^6 - 3/a^4 + 
   a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (26*z^2)/a^8 + (30*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (32*z^4)/a^6 - 
   (18*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2740] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 22*z^2 + 
   (5*z^2)/a^2 + 30*a^2*z^2 - 8*a^4*z^2 - a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   27*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 2741] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2742] -> 
  -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2743] -> 
  -3 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 6/a^2 + a^4 - 4*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (6*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^2, Knot[15, Alternating, 2744] -> 
  -5 - 2/a^4 + 5/a^2 + 6*a^2 - 4*a^4 + a^6 - 14*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2745] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (19*z^2)/a^8 + (24*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + (24*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2746] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 3*a^2 - 3*a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2747] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 2*a^2 - 
   2*a^4 + a^6 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2748] -> 1 + a^(-10) - 5/a^8 + 10/a^6 - 11/a^4 + 
   6/a^2 - a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - 
   (26*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (25*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2749] -> 2 - a^(-12) + 4/a^10 - 8/a^8 + 11/a^6 - 
   8/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + 
   (25*z^2)/a^6 - (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (23*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2750] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   2/a^4 - 3/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 2751] -> -4 + a^(-6) - 5/a^4 + 7/a^2 + 4*a^2 - 2*a^4 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2752] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (22*z^2)/a^6 - (25*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2753] -> -a^(-16) + 6/a^14 - 13/a^12 + 14/a^10 - 
   10/a^8 + 4/a^6 + a^(-4) + (5*z^2)/a^14 - (23*z^2)/a^12 + (37*z^2)/a^10 - 
   (28*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + 
   (33*z^4)/a^10 - (31*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (10*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2754] -> -9 + 2/a^6 - 9/a^4 + 13/a^2 + 7*a^2 - 3*a^4 - 
   22*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (29*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 22*z^4 + z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2755] -> 
  -2 - 2/a^4 + 4/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2756] -> 
  2 - a^(-12) + 4/a^10 - 8/a^8 + 11/a^6 - 8/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (19*z^2)/a^8 + (25*z^2)/a^6 - (16*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + (23*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2757] -> 
  -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2758] -> 
  -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2759] -> 
  -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2760] -> 
  -5 - 2/a^8 + 6/a^6 - 7/a^4 + 7/a^2 + a^2 + a^4 - 14*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (22*z^2)/a^4 + (22*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   11*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (13*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 2761] -> -2 - 2/a^4 + 4/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2762] -> 
  -a^(-8) + 2/a^6 - a^(-4) + a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2763] -> -4 - a^(-10) + 2/a^8 - 2/a^4 + 4/a^2 + a^2 + 
   a^4 - 8*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 4*z^4 - (6*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (3*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 2764] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2765] -> -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2766] -> 
  -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2767] -> 
  -3 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 6/a^2 + a^4 - 4*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   (6*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^2, Knot[15, Alternating, 2768] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 3*a^2 - 3*a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2769] -> -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2770] -> 
  -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2771] -> 
  -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2772] -> 
  -9 + 2/a^6 - 9/a^4 + 13/a^2 + 7*a^2 - 3*a^4 - 22*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (29*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (28*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2773] -> 
  -12 - 4/a^4 + 12/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 30*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 30*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2774] -> 
  -a^2 + 8*a^6 - 6*a^8 - a^10 + a^12 - 3*a^2*z^2 + 21*a^6*z^2 - 6*a^8*z^2 - 
   7*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 22*a^6*z^4 + 2*a^8*z^4 - 
   8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 5*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 2775] -> 3 + a^(-10) - 3/a^8 + 5/a^4 - 4/a^2 - a^2 + 
   6*z^2 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2776] -> -2 + 2/a^10 - 8/a^8 + 10/a^6 - 
   7/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - 
   (17*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2777] -> 
  -1 + 2/a^10 - 7/a^8 + 5/a^6 + a^(-4) + a^(-2) - 4*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2778] -> -2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^2 - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 2779] -> 
  -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 10*a^4*z^2 + 18*a^6*z^2 + 
   26*a^8*z^2 - 32*a^10*z^2 + 7*a^12*z^2 - 12*a^4*z^4 + 20*a^6*z^4 + 
   47*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 14*a^6*z^6 + 
   37*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 2780] -> 
  -a^2 + a^4 + 3*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 3*a^2*z^2 + a^4*z^2 + 
   14*a^6*z^2 + 7*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   19*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 2781] -> -2 + 2/a^10 - 8/a^8 + 10/a^6 - 7/a^4 + 
   6/a^2 - 5*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - 
   (17*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2782] -> 
  -3 + a^(-10) - 5/a^8 + 10/a^6 - 13/a^4 + 11/a^2 - 9*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (33*z^2)/a^4 + (30*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (34*z^4)/a^4 + (34*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2783] -> 
  -2 + 6*a^2 - 5*a^4 + 5*a^6 - 4*a^8 + a^10 - 5*z^2 + 15*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 
   10*a^4*z^4 + a^8*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 - 5*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 2784] -> 3 - a^(-2) - 4*a^2 + 7*a^4 - 
   5*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 13*a^4*z^2 - 10*a^6*z^2 + 
   3*a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - 8*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 2785] -> 
  -3 + a^(-10) - 5/a^8 + 10/a^6 - 13/a^4 + 11/a^2 - 9*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (33*z^2)/a^4 + (30*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (34*z^4)/a^4 + (34*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2786] -> 
  -2 + 6*a^2 - 5*a^4 + 5*a^6 - 4*a^8 + a^10 - 5*z^2 + 15*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 
   10*a^4*z^4 + a^8*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 - 5*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 2787] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + z^2/a^6 - (7*z^2)/a^4 + (22*z^2)/a^2 + 21*a^2*z^2 - 
   5*a^4*z^2 - 36*z^4 + z^4/a^6 - (7*z^4)/a^4 + (24*z^4)/a^2 + 21*a^2*z^4 - 
   3*a^4*z^4 - 21*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 2788] -> 
  -8 - a^(-4) + 4/a^2 + 11*a^2 - 6*a^4 + a^6 - 23*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 31*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 25*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 2789] -> -1 + a^2 + 5*a^4 - 5*a^6 + a^8 - 
   4*z^2 + 8*a^2*z^2 + 8*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 
   13*a^2*z^4 + 2*a^4*z^4 - 16*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   4*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 2790] -> 
  -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^2 + 11*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 2791] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 6*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 2792] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 
   4*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2793] -> -3 + a^(-10) - 5/a^8 + 10/a^6 - 13/a^4 + 
   11/a^2 - 9*z^2 + z^2/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - (33*z^2)/a^4 + 
   (30*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (34*z^4)/a^4 + 
   (34*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2794] -> 
  -2 + 6*a^2 - 5*a^4 + 5*a^6 - 4*a^8 + a^10 - 5*z^2 + 15*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 
   10*a^4*z^4 + a^8*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 - 5*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 2795] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + 
   (10*z^2)/a^8 - (43*z^2)/a^6 + (56*z^2)/a^4 - (19*z^2)/a^2 + (12*z^4)/a^8 - 
   (61*z^4)/a^6 + (86*z^4)/a^4 - (27*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (71*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 2796] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 6*z^2 + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (16*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (18*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2797] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 9*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 - (4*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2798] -> 3 + a^(-8) - 3/a^6 + 3/a^4 - 2/a^2 - a^2 + 
   7*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 8*z^4 + z^4/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 2799] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2800] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   24*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2801] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2802] -> 3 - 4*a^2 + a^4 + 3*a^6 - 3*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2803] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2804] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   21*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2805] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 
   8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 2806] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (20*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (22*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 2807] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2808] -> -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2809] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2810] -> 
  -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2811] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   17*z^2 - z^2/a^4 + (6*z^2)/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 
   21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2812] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 7*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   21*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2813] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2814] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2815] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2816] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 9*a^8*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 2817] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2818] -> 2/a^4 - 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2819] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 2820] -> 
  -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 - z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (21*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (21*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2821] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2822] -> 2/a^4 - 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2823] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 5*z^2 - 
   z^2/a^2 - 10*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 8*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2824] -> -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 
   23*z^2 - z^2/a^8 + (8*z^2)/a^6 - (24*z^2)/a^4 + (34*z^2)/a^2 + 5*a^2*z^2 - 
   18*z^4 - z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2825] -> 
  -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 32*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (28*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2826] -> 
  2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 2827] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - 
   (11*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 2828] -> 
  -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 32*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (28*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 2829] -> 
  7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 - 3*a^4*z^2 + 25*a^6*z^2 - 28*a^8*z^2 + 
   11*a^10*z^2 - 7*a^4*z^4 + 28*a^6*z^4 - 24*a^8*z^4 - a^10*z^4 + 
   3*a^12*z^4 - 5*a^4*z^6 + 16*a^6*z^6 - 5*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 2830] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 2831] -> 
  9*a^6 - 17*a^8 + 14*a^10 - 6*a^12 + a^14 - 4*a^4*z^2 + 30*a^6*z^2 - 
   40*a^8*z^2 + 22*a^10*z^2 - 4*a^12*z^2 - 8*a^4*z^4 + 33*a^6*z^4 - 
   33*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   9*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 2*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 2832] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 - 2*a^2*z^2 + 11*a^4*z^2 - 9*a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 + a^12*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 
   3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 2833] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   a^10*z^2 + a^12*z^2 - z^4 + 2*a^2*z^4 - a^4*z^4 - a^6*z^4 - 2*a^10*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[15, Alternating, 2834] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   21*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2835] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   16*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2836] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2837] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (20*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (22*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 2838] -> 
  -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2839] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2840] -> 
  -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 2841] -> 3 - 4*a^2 + a^4 + 3*a^6 - 3*a^8 + 
   a^10 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 2842] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2843] -> 
  a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 2*a^2*z^2 - 6*a^4*z^2 + 17*a^6*z^2 - 
   18*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 25*a^6*z^4 - 
   18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2844] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 12*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 2845] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 2846] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2847] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2848] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2849] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 2850] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 12*z^4 - z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 2851] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 10*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 2852] -> 
  1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 - 4*z^2 + 17*a^2*z^2 - 
   19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2853] -> 2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + a^2*z^4 - 8*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 2854] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2855] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2856] -> 
  2 + a^2 - 6*a^4 + 6*a^6 - 3*a^8 + a^10 - z^2 + 6*a^2*z^2 - 18*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 21*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2857] -> 1 + a^(-2) - 2*a^2 + 2*a^6 - 2*a^8 + a^10 + 
   2*z^2 - z^2/a^2 - 6*a^2*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 2858] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 2859] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 10*a^2*z^2 - 16*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2860] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 2861] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 8*a^4*z^4 + 
   16*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2862] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2863] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2864] -> 2 + a^2 - 6*a^4 + 6*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 8*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 2865] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2866] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2867] -> -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 21*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2868] -> 
  -5 + 2/a^2 + 9*a^2 - 9*a^4 + 5*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 2869] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   7*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 2870] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 2871] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 8*z^2 + z^2/a^2 + 23*a^2*z^2 - 
   25*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2872] -> 5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 12*a^2*z^2 - 24*a^4*z^2 + 22*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 2873] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - z^2/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2874] -> -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2875] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (25*z^2)/a^6 - (21*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - 
   (22*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 2876] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + 
   a^8 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 2877] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 2878] -> 
  -2 + 10*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 7*z^2 + 27*a^2*z^2 - 30*a^4*z^2 + 
   10*a^6*z^2 + a^8*z^2 - 9*z^4 + 29*a^2*z^4 - 24*a^4*z^4 - 3*a^6*z^4 + 
   3*a^8*z^4 - 5*z^6 + 17*a^2*z^6 - 4*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 2879] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 - 5*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 2880] -> 
  3*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 - 2*z^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 5*a^2*z^4 + 2*a^4*z^4 - 
   9*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 2881] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 
   z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 2882] -> 
  -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 4*z^2 + (2*z^2)/a^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 2883] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - (2*z^2)/a^14 - z^2/a^12 + 
   (14*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (8*z^4)/a^10 - (23*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2884] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 2885] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 2886] -> -a^(-12) + 2/a^10 - 4/a^8 + 
   4/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 + (5*z^4)/a^10 - 
   (23*z^4)/a^8 + (11*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2887] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^14 + z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 + (3*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 2888] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 
   2*a^8 + 6*z^2 - 14*a^2*z^2 + 8*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 
   22*a^2*z^4 + 6*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 
   2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 2889] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 2890] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2891] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2892] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 2893] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   (2*z^2)/a^14 - z^2/a^12 + (14*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (8*z^4)/a^10 - (23*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 2894] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2895] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 10*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   5*a^2*z^2 - 14*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2896] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   11*a^2*z^4 - 23*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2897] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2898] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 5*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 2899] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 9*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 2900] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 14*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2901] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 2902] -> 
  a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 2*a^2*z^2 - 5*a^4*z^2 + 
   15*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   22*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2903] -> 1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 14*a^4*z^2 + 15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 19*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 2904] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2905] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 2906] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2907] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2908] -> -2 + 2/a^2 + a^4 - 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 2909] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 13*a^4*z^4 + 22*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 2910] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2911] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 2912] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 2913] -> 
  -4 + a^(-4) + a^(-2) + 5*a^2 - 4*a^4 + 2*a^6 - 13*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2914] -> 2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - 
   a^12 + 4*a^2*z^2 - 12*a^4*z^2 + 23*a^6*z^2 - 19*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 27*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 2915] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 2916] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 8*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 16*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2917] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2918] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2919] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 21*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2920] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 4*a^2*z^2 - 12*a^4*z^2 + 
   23*a^6*z^2 - 19*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 
   27*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 2921] -> a^(-4) - 2*a^2 + 3*a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^4 - 5*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 2922] -> 
  a^4 + 4*a^6 - 9*a^8 + 9*a^10 - 5*a^12 + a^14 + a^4*z^2 + 13*a^6*z^2 - 
   23*a^8*z^2 + 22*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 - 2*a^4*z^4 + 
   17*a^6*z^4 - 28*a^8*z^4 + 20*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 
   12*a^6*z^6 - 17*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 2923] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 
   2*a^4 - 21*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2924] -> 
  -3 + a^(-4) + a^(-2) + 2*a^2 - a^6 + a^8 - 8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 2925] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 2926] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 
   2*a^6 - 21*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 2927] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 2928] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - 15*z^4 - (8*z^4)/a^4 + (24*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - (5*z^6)/a^4 + (15*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 2929] -> -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2930] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 2931] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^8*z^2 + z^4 - z^4/a^4 + 
   z^4/a^2 - 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 2932] -> -2 - 3/a^8 + 7/a^6 - 8/a^4 + 7/a^2 - z^2 - 
   z^2/a^8 + (13*z^2)/a^6 - (21*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 + (6*z^4)/a^6 - (22*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2933] -> 2/a^10 - 6/a^8 + 8/a^6 - 7/a^4 + 4/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - (18*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2934] -> 
  2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 2935] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2936] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 6*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2937] -> -7 + 2/a^6 - 6/a^4 + 9/a^2 + 3*a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 2938] -> -14 - 2/a^4 + 9/a^2 + 11*a^2 - 3*a^4 - 
   36*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   38*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 24*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2939] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) - (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2940] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - 
   z^6/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 2941] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - z^2/a^14 + 
   (11*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 + (6*z^4)/a^10 - (23*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 2942] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 5*z^2 - 15*a^2*z^2 + 11*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 + 8*z^4 - 21*a^2*z^4 + 8*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 15*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 2943] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 2*z^2 + 
   z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2944] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2945] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 
   9*a^2*z^2 + 12*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 
   9*a^2*z^4 + 9*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   7*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2946] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + z^2/a^2 + 
   5*a^4*z^2 - a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 2947] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - z^2/a^14 + 
   z^2/a^12 + (8*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 + (3*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 2948] -> -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 
   3/a^2 + z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (9*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2949] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^2 + a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 2950] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2951] -> -11 + 4/a^2 + 14*a^2 - 8*a^4 + 
   2*a^6 - 26*z^2 + (6*z^2)/a^2 + 34*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 23*z^4 + (4*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2952] -> 
  3 + 2/a^4 - 4/a^2 + a^2 - 2*a^4 + a^6 + 6*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2953] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + a^(-4) - z^2/a^14 - 
   (2*z^2)/a^12 + (11*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (5*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 2954] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 21*z^2 - z^2/a^4 + (10*z^2)/a^2 + 19*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 - 22*z^4 + (2*z^4)/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 13*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 2955] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - z^6/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 2956] -> -4 + 2/a^2 + 4*a^2 - 2*a^4 + 
   2*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^2 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 2957] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2958] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 2959] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 2960] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 - (8*z^4)/a^4 + (13*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 2961] -> 
  -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 12*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 2962] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 3/a^2 + z^2 + (5*z^2)/a^10 - 
   (13*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2963] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 2964] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2965] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 14*z^2 - 
   (5*z^2)/a^6 + (26*z^2)/a^4 - (36*z^2)/a^2 + 16*z^4 - (14*z^4)/a^6 + 
   (49*z^4)/a^4 - (60*z^4)/a^2 + 7*z^6 - (16*z^6)/a^6 + (53*z^6)/a^4 - 
   (46*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (31*z^8)/a^4 - (16*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 2966] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 3*z^2 - 
   (3*z^2)/a^6 + (13*z^2)/a^4 - (13*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (7*z^4)/a^6 + (18*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2967] -> -2 + a^(-4) + 2*a^2 - 9*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (5*z^4)/a^6 + 
   (11*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 2968] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 8*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 2969] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2970] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (4*z^6)/a^6 + 
   (7*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 2971] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 5*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 - (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 2972] -> -8 + 2/a^6 - 5/a^4 + 8/a^2 + 
   4*a^2 - 22*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 
   23*z^4 - z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 2973] -> 3 + a^(-6) - 2/a^2 - 3*a^2 + 2*a^4 + 4*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 4*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 2974] -> a^(-6) - a^(-2) + a^2 - a^4 + a^6 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 - z^4/a^6 + 
   (2*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^4 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 2975] -> -a^(-12) + 4/a^10 - 8/a^8 + 8/a^6 - 4/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (17*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 2976] -> -9 + 3/a^2 + 13*a^2 - 9*a^4 + 4*a^6 - a^8 - 
   23*z^2 + (6*z^2)/a^2 + 31*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   22*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 2977] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 2978] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 20*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 
   17*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 20*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 
   22*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 2979] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   34*z^4 - (2*z^4)/a^4 + (17*z^4)/a^2 + 24*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   21*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 2980] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - 
   (8*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 2981] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 
   2*a^2 - 13*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 12*z^4 - z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 2982] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 
   5*z^2 - 18*a^2*z^2 + 16*a^4*z^2 - 3*a^8*z^2 + 7*z^4 - 21*a^2*z^4 + 
   13*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 2983] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2984] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 2985] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2986] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 2987] -> -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   2*a^2 - 8*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 2988] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^8*z^2 + z^4 + z^4/a^4 + a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 2989] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   11*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 2990] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 2991] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^4 + z^4/a^2 + a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 2992] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + 
   (25*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - 
   (18*z^4)/a^4 + (32*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 2993] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 9/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + (6*z^2)/a^10 - 
   (15*z^2)/a^8 + (20*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (11*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 2994] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^10 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 2995] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   20*z^4 + (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   13*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 2996] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   4*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   4*z^6 - z^6/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 2997] -> 
  -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 11*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - z^4/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 2998] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 2999] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - 
   a^(-4) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 3000] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 3001] -> 5*a^2 - 11*a^4 + 12*a^6 - 6*a^8 + a^10 + 
   11*a^2*z^2 - 29*a^4*z^2 + 29*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + 9*a^2*z^4 - 34*a^4*z^4 + 30*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 20*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 3002] -> 
  -2 - 3/a^8 + 8/a^6 - 10/a^4 + 8/a^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (24*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (12*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3003] -> 
  -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 3004] -> 
  3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 6*z^2 + (3*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 3005] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   9/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + (6*z^2)/a^10 - (15*z^2)/a^8 + 
   (20*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (11*z^4)/a^8 + 
   (16*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 3006] -> -2 - 3/a^8 + 8/a^6 - 10/a^4 + 
   8/a^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + (17*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^8 + (8*z^4)/a^6 - (23*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3007] -> 
  1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 - 4*z^2 + 17*a^2*z^2 - 
   19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3008] -> a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   2*a^2*z^2 - 6*a^4*z^2 + 17*a^6*z^2 - 18*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 25*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 3009] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3010] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3011] -> 2 + a^2 - 6*a^4 + 6*a^6 - 3*a^8 + 
   a^10 - z^2 + 6*a^2*z^2 - 18*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 21*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 3012] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 12*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 3013] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3014] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3015] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   10*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   12*a^2*z^4 - 21*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 3016] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3017] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3018] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3019] -> -a^(-12) + 4/a^10 - 8/a^8 + 8/a^6 - 4/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (17*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3020] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 - 
   2*z^2 - z^2/a^6 + z^2/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + z^4/a^6 - 
   z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3021] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   21*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 18*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3022] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 3023] -> 
  -9 + 3/a^2 + 13*a^2 - 9*a^4 + 4*a^6 - a^8 - 23*z^2 + (6*z^2)/a^2 + 
   31*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   33*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 3024] -> 1 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 3025] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3026] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 11*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 3027] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   11*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 3028] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 + z^4/a^4 + (11*z^4)/a^2 - 
   z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3029] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3030] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   11*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 3031] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3032] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 - 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3033] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 3034] -> 
  -1 + a^(-8) - 3/a^6 + 3/a^4 + a^2 - 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 3035] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 3036] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3037] -> -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 3038] -> 2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + a^2*z^4 - 8*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 3039] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3040] -> 2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + a^2*z^4 - 8*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 3041] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 12*z^4 - z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 3042] -> 
  2 + a^2 - 6*a^4 + 6*a^6 - 3*a^8 + a^10 - 2*z^2 + 8*a^2*z^2 - 19*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3043] -> 
  -7 + 2/a^6 - 6/a^4 + 9/a^2 + 3*a^2 - 16*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 3044] -> -14 - 2/a^4 + 9/a^2 + 11*a^2 - 3*a^4 - 
   36*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   38*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 24*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   21*z^6 - z^6/a^4 + (9*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 3045] -> 
  -11 + 4/a^2 + 14*a^2 - 8*a^4 + 2*a^6 - 26*z^2 + (6*z^2)/a^2 + 34*a^2*z^2 - 
   21*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 23*z^4 + (4*z^4)/a^2 + 36*a^2*z^4 - 
   22*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3046] -> a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (17*z^2)/a^10 - (21*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (10*z^4)/a^10 - (25*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3047] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (3*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 3048] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 3049] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   2*a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (8*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 3050] -> 7 + a^(-4) - 4/a^2 - 5*a^2 + 
   3*a^4 - a^6 + 13*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 - 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 3051] -> 
  1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 3052] -> 
  -2 - 3/a^8 + 7/a^6 - 8/a^4 + 7/a^2 - z^2 - z^2/a^8 + (13*z^2)/a^6 - 
   (21*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (6*z^4)/a^6 - 
   (22*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (11*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3053] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 3054] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (11*z^2)/a^10 - (9*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (5*z^4)/a^10 - 
   (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 3055] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - z^2/a^14 + (11*z^2)/a^10 - 
   (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + 
   (6*z^4)/a^10 - (23*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (3*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 3056] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 3057] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) - (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3058] -> 2/a^10 - 6/a^8 + 8/a^6 - 7/a^4 + 4/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - (18*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3059] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 - (8*z^4)/a^4 + (13*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 3060] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 21*z^2 - z^2/a^4 + (10*z^2)/a^2 + 
   19*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 22*z^4 + (2*z^4)/a^4 + (6*z^4)/a^2 + 
   14*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 13*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 
   2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 3061] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3062] -> -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   4*z^4 + z^4/a^2 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 3063] -> -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - z^2/a^14 + 
   z^2/a^12 + (8*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 + (3*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 3064] -> -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 
   3/a^2 + z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (9*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3065] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 - (8*z^4)/a^4 + (13*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 3066] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 3/a^2 + z^2 + (5*z^2)/a^10 - 
   (13*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (9*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3067] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3068] -> 2 - 4*a^2 + 4*a^4 - a^8 + 5*z^2 - 
   15*a^2*z^2 + 11*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 21*a^2*z^4 + 
   8*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 2*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 3069] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 
   2*z^2 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 3070] -> -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   4*z^4 + z^4/a^2 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 3071] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   (2*z^2)/a^14 - z^2/a^12 + (14*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (8*z^4)/a^10 - (23*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3072] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 3073] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 3074] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 + (5*z^4)/a^10 - (23*z^4)/a^8 + 
   (11*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (17*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3075] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^14 + z^2/a^12 + (5*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 + (3*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 3076] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 
   2*a^8 + 6*z^2 - 14*a^2*z^2 + 8*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 
   22*a^2*z^4 + 6*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 
   2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 3077] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 3078] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - (2*z^2)/a^14 - z^2/a^12 + 
   (14*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (8*z^4)/a^10 - (23*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3079] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 5*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 3080] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 - 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3081] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 10*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - 
   (22*z^2)/a^2 + 8*z^4 - (4*z^4)/a^6 + (28*z^4)/a^4 - (41*z^4)/a^2 + 
   4*a^2*z^4 - 2*z^6 - z^6/a^6 + (16*z^6)/a^4 - (33*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 3082] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 3083] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (4*z^2)/a^12 - (19*z^2)/a^10 + (23*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (28*z^4)/a^10 + (42*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + 
   z^6/a^12 - (16*z^6)/a^10 + (33*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 3084] -> a^(-12) - 4/a^10 + 5/a^8 - 
   3/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^12 - (10*z^2)/a^10 + (11*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (9*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3085] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 2*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 10*z^4 - (4*z^4)/a^6 + 
   (17*z^4)/a^4 - (22*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (25*z^6)/a^4 - 
   (40*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3086] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   8*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 3087] -> 
  -3 + 11*a^2 - 10*a^4 + 3*a^6 - 9*z^2 + z^2/a^2 + 22*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 10*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3088] -> 
  -2 + 5*a^2 + 2*a^4 - 7*a^6 + 3*a^8 - 5*z^2 + 15*a^2*z^2 - 17*a^6*z^2 + 
   8*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 7*a^4*z^4 - 21*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 3089] -> 32 + 5/a^4 - 23/a^2 - 13*a^2 + 101*z^2 + 
   (14*z^2)/a^4 - (70*z^2)/a^2 - 37*a^2*z^2 + 137*z^4 + (14*z^4)/a^4 - 
   (85*z^4)/a^2 - 43*a^2*z^4 + 101*z^6 + (6*z^6)/a^4 - (52*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3090] -> 
  6 + 2/a^4 - 8/a^2 + 6*a^2 - 5*a^4 + 14*z^2 + (5*z^2)/a^4 - (21*z^2)/a^2 + 
   22*a^2*z^2 - 13*a^4*z^2 + 18*z^4 + (4*z^4)/a^4 - (22*z^4)/a^2 + 
   30*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (11*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 3091] -> -11 - 2/a^4 + 8/a^2 + 10*a^2 - 6*a^4 + 
   2*a^6 - 28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 25*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 28*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3092] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 19*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3093] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - z^2 + 
   4*a^2*z^2 + 19*z^4 - (4*z^4)/a^2 - 26*a^2*z^4 + 11*a^4*z^4 + 25*z^6 - 
   (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 3094] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 8*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 8*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   6*a^2*z^4 + 5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3095] -> -6 - a^(-8) + 6/a^6 - 12/a^4 + 12/a^2 + 
   2*a^2 - 17*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (29*z^2)/a^4 + 
   (29*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (29*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3096] -> 
  -3 + 12*a^2 - 14*a^4 + 8*a^6 - 2*a^8 - 11*z^2 + z^2/a^2 + 32*a^2*z^2 - 
   33*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 35*a^2*z^4 - 
   31*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3097] -> 27 + 4/a^4 - 19/a^2 - 11*a^2 + 87*z^2 + 
   (12*z^2)/a^4 - (60*z^2)/a^2 - 32*a^2*z^2 + 123*z^4 + (13*z^4)/a^4 - 
   (77*z^4)/a^2 - 39*a^2*z^4 + 95*z^6 + (6*z^6)/a^4 - (50*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3098] -> 
  10 + 2/a^4 - 9/a^2 + a^2 - 3*a^4 + 24*z^2 + (5*z^2)/a^4 - (23*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 26*z^4 + (4*z^4)/a^4 - (23*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + 16*z^6 + z^6/a^4 - (11*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 3099] -> -6*a^2 + 23*a^4 - 24*a^6 + 8*a^8 - 
   17*a^2*z^2 + 70*a^4*z^2 - 78*a^6*z^2 + 26*a^8*z^2 - 17*a^2*z^4 + 
   87*a^4*z^4 - 113*a^6*z^4 + 35*a^8*z^4 - 7*a^2*z^6 + 55*a^4*z^6 - 
   90*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 3100] -> -2 + 4*a^2 + 6*a^4 - 12*a^6 + 5*a^8 - 5*z^2 + 
   13*a^2*z^2 + 10*a^4*z^2 - 31*a^6*z^2 + 13*a^8*z^2 - 4*z^4 + 17*a^2*z^4 + 
   a^4*z^4 - 35*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3101] -> 
  -10 + 2/a^2 + 14*a^2 - 3*a^4 - 2*a^6 - 25*z^2 + (5*z^2)/a^2 + 31*a^2*z^2 + 
   3*a^4*z^2 - 7*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 + 14*a^4*z^4 - 
   9*a^6*z^4 - 11*z^6 + z^6/a^2 + 17*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3102] -> -4 + 14*a^2 - 11*a^4 + 2*a^8 - 8*z^2 + 
   31*a^2*z^2 - 25*a^4*z^2 - 6*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 
   26*a^4*z^4 - 15*a^6*z^4 + 9*a^8*z^4 - z^6 + 12*a^2*z^6 - 16*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3103] -> 
  6 - 2/a^2 - 3*a^2 + a^4 - 3*a^6 + 2*a^8 + 11*z^2 - (3*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 + 8*z^4 - z^4/a^2 - 
   7*a^2*z^4 - 2*a^4*z^4 - 10*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3104] -> -10 - a^(-4) + 5/a^2 + 13*a^2 - 8*a^4 + 
   2*a^6 - 26*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 30*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 - 27*z^4 - z^4/a^4 + (10*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3105] -> 
  a^(-10) - 6/a^8 + 13/a^6 - 13/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (28*z^2)/a^6 - (35*z^2)/a^4 + (18*z^2)/a^2 - 6*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (38*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3106] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (22*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 3107] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   z^4/a^8 - z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 3108] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 26*z^2 - (5*z^2)/a^2 - 37*a^2*z^2 + 
   15*a^4*z^2 + 46*z^4 - (8*z^4)/a^2 - 73*a^2*z^4 + 25*a^4*z^4 + 37*z^6 - 
   (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 3109] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 9*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 21*a^2*z^2 + 9*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 3110] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   12*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 3111] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (22*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (6*z^4)/a^6 - 
   (27*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (4*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 3112] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 4*z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (8*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3113] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 
   20*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   20*a^4*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 12*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3114] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3115] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (5*z^2)/a^8 - (26*z^2)/a^6 + (38*z^2)/a^4 - (14*z^2)/a^2 + (8*z^4)/a^8 - 
   (46*z^4)/a^6 + (73*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + 
   (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 3116] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (19*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (21*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3117] -> 32 + 5/a^4 - 23/a^2 - 13*a^2 + 101*z^2 + 
   (14*z^2)/a^4 - (70*z^2)/a^2 - 37*a^2*z^2 + 137*z^4 + (14*z^4)/a^4 - 
   (85*z^4)/a^2 - 43*a^2*z^4 + 101*z^6 + (6*z^6)/a^4 - (52*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3118] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3119] -> 3 - a^(-2) - a^2 + 17*z^2 + (2*z^2)/a^4 - 
   (11*z^2)/a^2 - 7*a^2*z^2 + 42*z^4 + (5*z^4)/a^4 - (27*z^4)/a^2 - 
   15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 3120] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 
   2*a^2 - 20*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 3121] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 
   8*a^4*z^2 - a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3122] -> -a^(-4) + 2/a^2 + 8*z^2 - (4*z^2)/a^6 + 
   (16*z^2)/a^4 - (19*z^2)/a^2 + 20*z^4 - (8*z^4)/a^6 + (40*z^4)/a^4 - 
   (56*z^4)/a^2 + 18*z^6 - (5*z^6)/a^6 + (36*z^6)/a^4 - (61*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3123] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 5*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (16*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (18*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + (9*z^6)/a^4 - (12*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 3124] -> -1 + 3*a^2 - a^6 + 2*z^2 - 12*a^2*z^2 + 
   23*a^4*z^2 - 10*a^6*z^2 + 7*z^4 - 37*a^2*z^4 + 59*a^4*z^4 - 21*a^6*z^4 + 
   5*z^6 - 35*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 3125] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - 
   10*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   23*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3126] -> -5 - 2/a^8 + 8/a^6 - 14/a^4 + 13/a^2 + a^2 - 
   19*z^2 - z^2/a^8 + (12*z^2)/a^6 - (31*z^2)/a^4 + (36*z^2)/a^2 + 
   4*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (39*z^4)/a^2 + 
   6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 3127] -> 
  -2 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^2 + a^2 - 7*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3128] -> 
  -8 - a^(-6) + a^(-4) + 4/a^2 + 8*a^2 - 4*a^4 + a^6 - 16*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 3129] -> -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 
   2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (26*z^4)/a^6 - 
   (18*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3130] -> -8 - a^(-8) + 5/a^6 - 12/a^4 + 15/a^2 + 
   2*a^2 - 21*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + 
   (35*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3131] -> 
  4 - a^(-8) + 3/a^6 - 3/a^4 - 3*a^2 + a^4 + 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 3132] -> 
  2/a^14 - 8/a^12 + 13/a^10 - 13/a^8 + 7/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (30*z^2)/a^10 - (35*z^2)/a^8 + (23*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (24*z^4)/a^10 - (38*z^4)/a^8 + (28*z^4)/a^6 - (5*z^4)/a^4 + (6*z^6)/a^10 - 
   (20*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 3133] -> 
  a^(-14) - 3/a^12 + 2/a^10 + a^(-8) - 3/a^6 + 3/a^4 - (4*z^2)/a^12 + 
   (8*z^2)/a^10 - (2*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 
   (6*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^8 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3134] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (18*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3135] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (26*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 3136] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (18*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3137] -> 
  -2 + 5/a^8 - 21/a^6 + 24/a^4 - 5/a^2 - 8*z^2 + (9*z^2)/a^8 - (51*z^2)/a^6 + 
   (68*z^2)/a^4 - (9*z^2)/a^2 - 10*z^4 + (5*z^4)/a^8 - (47*z^4)/a^6 + 
   (79*z^4)/a^4 - 5*z^6 + z^6/a^8 - (19*z^6)/a^6 + (48*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3138] -> 
  -1 + 2/a^10 - 6/a^8 + 8/a^4 - 2/a^2 - 3*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (6*z^2)/a^6 + (22*z^2)/a^4 - (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (11*z^4)/a^6 + (25*z^4)/a^4 - (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 + (14*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 3139] -> 
  -2/a^18 + 10/a^16 - 13/a^14 - a^(-12) + 7/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (36*z^2)/a^14 + (6*z^2)/a^12 + (24*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (31*z^4)/a^14 + (19*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - (8*z^6)/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 3140] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - a^(-12) + a^(-10) + 3/a^8 + (5*z^2)/a^16 - 
   (14*z^2)/a^14 + (8*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (8*z^4)/a^14 + 
   (5*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 3141] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 4/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (6*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (15*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3142] -> 6 + a^(-6) - 4/a^4 + a^(-2) - 2*a^2 - a^4 + 
   15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 - 
   2*a^4*z^2 + 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 3143] -> 
  -2/a^10 + 8/a^8 - 11/a^6 + 5/a^4 + a^(-2) - (5*z^2)/a^10 + (26*z^2)/a^8 - 
   (35*z^2)/a^6 + (11*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (49*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (35*z^6)/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3144] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 2*z^2 + 
   (5*z^2)/a^8 - (26*z^2)/a^6 + (36*z^2)/a^4 - (9*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (49*z^4)/a^4 - (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3145] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 
   6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + 
   (16*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3146] -> -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 
   5/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3147] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (2*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (17*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3148] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (6*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (7*z^4)/a^6 + (15*z^4)/a^4 - (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (11*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 3149] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3150] -> 3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 18*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3151] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 20*z^2 - (5*z^2)/a^4 + 
   (19*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 3152] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 2*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 10*z^4 - (4*z^4)/a^6 + 
   (17*z^4)/a^4 - (22*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (25*z^6)/a^4 - 
   (40*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3153] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 - 
   11*a^2*z^2 + 8*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   21*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3154] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - z^4/a^6 - 
   z^4/a^4 + (13*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 3155] -> -a^4 - 2*a^6 + 17*a^8 - 18*a^10 + 5*a^12 - 
   5*a^4*z^2 - 2*a^6*z^2 + 53*a^8*z^2 - 44*a^10*z^2 + 8*a^12*z^2 - 
   8*a^4*z^4 + 4*a^6*z^4 + 65*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 8*a^6*z^6 + 41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 3156] -> 27 + 4/a^4 - 19/a^2 - 11*a^2 + 91*z^2 + 
   (12*z^2)/a^4 - (62*z^2)/a^2 - 34*a^2*z^2 + 131*z^4 + (13*z^4)/a^4 - 
   (80*z^4)/a^2 - 42*a^2*z^4 + 100*z^6 + (6*z^6)/a^4 - (51*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3157] -> 
  1 + a^(-4) - 4/a^2 + 8*a^2 - 5*a^4 + 9*z^2 + (4*z^2)/a^4 - (17*z^2)/a^2 + 
   23*a^2*z^2 - 13*a^4*z^2 + 17*z^4 + (4*z^4)/a^4 - (21*z^4)/a^2 + 
   30*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (11*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 3158] -> -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 
   a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 + 10*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 22*a^6*z^4 + 12*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 3159] -> 
  15 + a^(-6) - 2/a^4 - 6/a^2 - 7*a^2 + 38*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - 
   (8*z^2)/a^2 - 17*a^2*z^2 + 41*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (3*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 3160] -> 5 + a^(-4) - 5/a^2 + 3*a^2 - 3*a^4 + 13*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3161] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 3162] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 30*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (23*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 34*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (26*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3163] -> 
  -6 - a^(-4) + 4/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 25*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3164] -> 
  -7 - a^(-8) + 4/a^6 - 5/a^4 + 6/a^2 + 4*a^2 - 21*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3165] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (21*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (25*z^4)/a^4 + (35*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3166] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3167] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3168] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3169] -> 
  11 - 3/a^2 - 11*a^2 + 4*a^4 + 35*z^2 - (8*z^2)/a^2 - 44*a^2*z^2 + 
   16*a^4*z^2 + 51*z^4 - (9*z^4)/a^2 - 75*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - 
   (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 3170] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 13*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 - 17*a^2*z^4 + 9*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3171] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3172] -> 22 + 3/a^4 - 15/a^2 - 9*a^2 + 72*z^2 + 
   (9*z^2)/a^4 - (48*z^2)/a^2 - 27*a^2*z^2 + 103*z^4 + (10*z^4)/a^4 - 
   (62*z^4)/a^2 - 33*a^2*z^4 + 80*z^6 + (5*z^6)/a^4 - (41*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3173] -> 
  9 + a^(-4) - 6/a^2 - 2*a^2 - a^4 + 11*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3174] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 36*z^2 - 
   (7*z^2)/a^2 - 51*a^2*z^2 + 20*a^4*z^2 + 54*z^4 - (9*z^4)/a^2 - 
   87*a^2*z^4 + 29*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 74*a^2*z^6 + 20*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 3175] -> 
  -6 + a^(-2) + 9*a^2 - a^4 - 2*a^6 - 16*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 + 20*a^4*z^4 - 
   10*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3176] -> -1 + 11*a^4 - 14*a^6 + 5*a^8 - 3*z^2 + 
   5*a^2*z^2 + 17*a^4*z^2 - 28*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 
   6*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3177] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (23*z^2)/a^6 - (29*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (35*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3178] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   28*z^2 + z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 
   32*z^4 + z^4/a^6 - (8*z^4)/a^4 + (24*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3179] -> 
  1 - a^(-4) + 3/a^2 - 5*a^2 + 3*a^4 - 5*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   16*a^2*z^2 + 9*a^4*z^2 - 12*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   22*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3180] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 23*z^4 - 
   (3*z^4)/a^6 + (14*z^4)/a^4 - (8*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 3181] -> 
  -4 + a^(-2) + a^2 + 9*a^4 - 6*a^6 - 13*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 + 
   24*a^4*z^2 - 12*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 27*a^4*z^4 - 
   11*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3182] -> -2 + 5*a^2 + 3*a^4 - 9*a^6 + 4*a^8 - 5*z^2 + 
   15*a^2*z^2 + 2*a^4*z^2 - 22*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   6*a^4*z^4 - 25*a^6*z^4 + 10*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3183] -> 
  2 - a^(-2) + 2*a^2 - a^4 - 3*a^6 + 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 11*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3184] -> -11 - 2/a^4 + 8/a^2 + 10*a^2 - 6*a^4 + 
   2*a^6 - 32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 36*z^4 - (2*z^4)/a^4 + (17*z^4)/a^2 + 28*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 21*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 3185] -> 
  -7 - 2/a^4 + 8/a^2 + 2*a^4 - 18*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 - 12*a^2*z^4 + 
   7*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3186] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 3187] -> -3*a^2 + 9*a^4 - 5*a^6 - 
   3*z^2 + z^2/a^2 - 6*a^2*z^2 + 24*a^4*z^2 - 10*a^6*z^2 - 8*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3188] -> 
  -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 15*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 + 
   14*a^4*z^2 - 9*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 + 21*a^4*z^4 - 
   10*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3189] -> -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - 5*z^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 12*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   11*a^4*z^4 - 19*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3190] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   11*a^4*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 12*a^4*z^4 - 
   4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3191] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3192] -> -1 + a^2 + 7*a^4 - 9*a^6 + 3*a^8 - 3*z^2 + 
   6*a^2*z^2 + 13*a^4*z^2 - 23*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 
   5*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3193] -> 
  2 - a^(-2) + 2*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2/a^2 + 13*a^2*z^2 - 
   21*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + z^4/a^2 + 20*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3194] -> -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + 
   z^4/a^8 - z^4/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 3195] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3196] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3197] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   23*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 3198] -> 
  3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 5*a^4*z^2 + 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 9*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3199] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 + 
   13*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 16*a^4*z^4 - 
   7*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3200] -> -a^(-4) + 2/a^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (5*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 3201] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 3202] -> -2 + a^(-6) - 5/a^4 + 7/a^2 + 
   z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 3203] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 2*z^2 - (4*z^2)/a^8 + 
   (19*z^2)/a^6 - (23*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (12*z^4)/a^6 - (25*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   (2*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3204] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3205] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - 13*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3206] -> -3*a^2 + 9*a^4 - 5*a^6 - 3*z^2 + z^2/a^2 - 
   6*a^2*z^2 + 24*a^4*z^2 - 10*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   27*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3207] -> -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 
   15*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 + 14*a^4*z^2 - 9*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 + 21*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   12*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3208] -> 
  -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 10*a^4*z^2 + 22*a^6*z^2 + 
   14*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 8*a^4*z^4 + 26*a^6*z^4 + 
   19*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 15*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 3209] -> -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - 5*z^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 12*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   11*a^4*z^4 - 19*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3210] -> 
  -1 + a^2 + 7*a^4 - 9*a^6 + 3*a^8 - 3*z^2 + 6*a^2*z^2 + 13*a^4*z^2 - 
   23*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 5*a^4*z^4 - 27*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 3211] -> -10 - a^(-4) + 5/a^2 + 13*a^2 - 8*a^4 + 
   2*a^6 - 26*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 30*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 - 27*z^4 - z^4/a^4 + (10*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3212] -> 
  27 + 4/a^4 - 19/a^2 - 11*a^2 + 77*z^2 + (10*z^2)/a^4 - (52*z^2)/a^2 - 
   28*a^2*z^2 + 104*z^4 + (10*z^4)/a^4 - (63*z^4)/a^2 - 33*a^2*z^4 + 80*z^6 + 
   (5*z^6)/a^4 - (41*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 3213] -> a^(-10) - 6/a^8 + 13/a^6 - 13/a^4 + 6/a^2 - 
   3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (28*z^2)/a^6 - (35*z^2)/a^4 + 
   (18*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - (38*z^4)/a^4 + 
   (24*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3214] -> 
  3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + (8*z^2)/a^8 - (40*z^2)/a^6 + 
   (57*z^2)/a^4 - (20*z^2)/a^2 + (9*z^4)/a^8 - (55*z^4)/a^6 + (88*z^4)/a^4 - 
   (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + (74*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 3215] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 11*z^2 + z^2/a^8 - z^2/a^6 - (14*z^2)/a^4 + 
   (28*z^2)/a^2 - 11*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (4*z^4)/a^4 + 
   (30*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 3216] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 
   7/a^2 - 9*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^4 + (17*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + (12*z^4)/a^4 + (22*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3217] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 9*z^2 - z^2/a^4 + 
   z^2/a^2 - 15*a^2*z^2 + 6*a^4*z^2 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   17*a^2*z^4 + 7*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3218] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + z^2 - 
   7*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   17*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3219] -> -2*a^4 + a^6 + 15*a^8 - 19*a^10 + 6*a^12 - 
   7*a^4*z^2 + 4*a^6*z^2 + 49*a^8*z^2 - 46*a^10*z^2 + 9*a^12*z^2 - 
   9*a^4*z^4 + 8*a^6*z^4 + 63*a^8*z^4 - 42*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 9*a^6*z^6 + 41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 3220] -> -a^2 + a^4 + 2*a^6 + 5*a^8 - 9*a^10 + 
   3*a^12 - 3*a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 + 16*a^8*z^2 - 18*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 + 18*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 3221] -> -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + 
   (4*z^2)/a^8 - (16*z^2)/a^6 + (10*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (13*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3222] -> 11 - 3/a^2 - 11*a^2 + 4*a^4 + 35*z^2 - 
   (8*z^2)/a^2 - 44*a^2*z^2 + 16*a^4*z^2 + 51*z^4 - (9*z^4)/a^2 - 
   75*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 3223] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 46*z^2 + (7*z^2)/a^4 - (33*z^2)/a^2 - 
   17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 3224] -> -11 + a^(-6) - 5/a^4 + 10/a^2 + 9*a^2 - 
   3*a^4 - 28*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (25*z^2)/a^2 + 21*a^2*z^2 - 
   6*a^4*z^2 - 30*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3225] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 13*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 17*a^2*z^4 + 
   9*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3226] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 3*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 3227] -> 
  -6 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (25*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3228] -> 
  -8 + a^(-6) - 6/a^4 + 11/a^2 + 4*a^2 - a^4 - 28*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (30*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (30*z^4)/a^2 + 15*a^2*z^4 - 2*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3229] -> 
  -3 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 + a^2 - 15*z^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (28*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 23*z^4 + 
   (4*z^4)/a^6 - (24*z^4)/a^4 + (36*z^4)/a^2 + 5*a^2*z^4 - 16*z^6 - 
   (6*z^6)/a^4 + (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 3230] -> -a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 
   4/a^4 + 2/a^2 - z^2/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + (31*z^2)/a^6 - 
   (17*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + (36*z^4)/a^6 - 
   (25*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (19*z^6)/a^6 - (17*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3231] -> -1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 
   6/a^2 - 4*z^2 + z^2/a^10 - (9*z^2)/a^8 + (25*z^2)/a^6 - (30*z^2)/a^4 + 
   (19*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - (36*z^4)/a^4 + 
   (25*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3232] -> 
  -a^(-2) + 5*a^2 - 4*a^4 + 2*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 - 5*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3233] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-4) - a^(-2) + 2*z^2 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*z^4 - (6*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^2 + z^6 + (4*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 3234] -> 
  -2 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 5/a^2 + a^2 - 8*z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 3235] -> -8 - 2/a^4 + 6/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 27*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 31*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3236] -> 
  2/a^14 - 7/a^12 + 9/a^10 - 8/a^8 + 5/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (27*z^2)/a^10 - (28*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^12 + 
   (24*z^4)/a^10 - (35*z^4)/a^8 + (25*z^4)/a^6 - (4*z^4)/a^4 + (6*z^6)/a^10 - 
   (20*z^6)/a^8 + (16*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 3237] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (4*z^2)/a^12 + 
   (8*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + (6*z^4)/a^10 - 
   (6*z^4)/a^8 + (4*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^8 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 3238] -> 
  -2 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 5/a^2 + a^2 - 8*z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 3239] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3240] -> -a^(-12) + 6/a^10 - 14/a^8 + 16/a^6 - 
   10/a^4 + 4/a^2 - z^2/a^12 + (9*z^2)/a^10 - (28*z^2)/a^8 + (41*z^2)/a^6 - 
   (29*z^2)/a^4 + (9*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + (40*z^4)/a^6 - 
   (33*z^4)/a^4 + (8*z^4)/a^2 - (6*z^6)/a^8 + (19*z^6)/a^6 - (19*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3241] -> -2 + 2/a^10 - 9/a^8 + 15/a^6 - 14/a^4 + 
   9/a^2 - 6*z^2 + z^2/a^10 - (12*z^2)/a^8 + (33*z^2)/a^6 - (39*z^2)/a^4 + 
   (26*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (24*z^4)/a^6 - (41*z^4)/a^4 + 
   (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3242] -> 
  -3 - a^(-6) + 2/a^4 + 6*a^2 - 4*a^4 + a^6 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 3243] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 2/a^6 - a^(-4) + 2/a^2 - z^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (9*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - z^6 - (4*z^6)/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 3244] -> 
  -2 + 2/a^10 - 9/a^8 + 15/a^6 - 14/a^4 + 9/a^2 - 6*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (33*z^2)/a^6 - (39*z^2)/a^4 + (26*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (41*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (20*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3245] -> 
  a^(-12) - a^(-10) - 7/a^8 + 10/a^6 - a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (8*z^2)/a^10 - (6*z^2)/a^8 + (25*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (4*z^4)/a^8 + (25*z^4)/a^6 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3246] -> 
  -2 + 4/a^8 - 17/a^6 + 19/a^4 - 3/a^2 - 7*z^2 + (8*z^2)/a^8 - (44*z^2)/a^6 + 
   (58*z^2)/a^4 - (7*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - (44*z^4)/a^6 + 
   (72*z^4)/a^4 - z^4/a^2 - 5*z^6 + z^6/a^8 - (19*z^6)/a^6 + (46*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3247] -> 
  -1 + a^(-10) - 2/a^8 - 5/a^6 + 10/a^4 - 2/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 - (4*z^2)/a^6 + (24*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (24*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 3248] -> 
  -a^(-16) + 6/a^14 - 11/a^12 + 6/a^10 - a^(-8) + 2/a^6 + (5*z^2)/a^14 - 
   (20*z^2)/a^12 + (19*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (9*z^4)/a^12 + (20*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^6)/a^10 - (5*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3249] -> -2/a^18 + 11/a^16 - 17/a^14 + 4/a^12 + 
   5/a^10 - z^2/a^18 + (16*z^2)/a^16 - (43*z^2)/a^14 + (16*z^2)/a^12 + 
   (22*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (34*z^4)/a^14 + (26*z^4)/a^12 + 
   (33*z^4)/a^10 + (4*z^4)/a^8 - (8*z^6)/a^14 + (18*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 3250] -> -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 
   6/a^10 + a^(-8) + (5*z^2)/a^16 - (13*z^2)/a^14 - (7*z^2)/a^12 + 
   (18*z^2)/a^10 + (7*z^2)/a^8 - (8*z^4)/a^14 + (2*z^4)/a^12 + 
   (20*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (4*z^6)/a^12 + (8*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 3251] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (13*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^12 - (9*z^4)/a^10 + 
   (12*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3252] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (2*z^2)/a^12 - (13*z^2)/a^10 + (13*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   z^4/a^12 - (9*z^4)/a^10 + (12*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3253] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + (3*z^2)/a^12 - (4*z^2)/a^10 - 
   z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 - (3*z^4)/a^10 - 
   (6*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3254] -> a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + 
   (3*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3255] -> 
  -3/a^14 + 14/a^12 - 20/a^10 + 7/a^8 + 3/a^6 - (7*z^2)/a^14 + 
   (38*z^2)/a^12 - (57*z^2)/a^10 + (18*z^2)/a^8 + (10*z^2)/a^6 - 
   (5*z^4)/a^14 + (41*z^4)/a^12 - (68*z^4)/a^10 + (11*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (44*z^6)/a^10 - (4*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 3256] -> 
  -2/a^14 + 8/a^12 - 8/a^10 - 2/a^8 + 4/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (16*z^2)/a^12 - (16*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3257] -> 20 + 3/a^4 - 15/a^2 - 5*a^2 - 2*a^4 + 
   58*z^2 + (7*z^2)/a^4 - (41*z^2)/a^2 - 10*a^2*z^2 - 6*a^4*z^2 + 71*z^4 + 
   (5*z^4)/a^4 - (42*z^4)/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 45*z^6 + z^6/a^4 - 
   (19*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 3258] -> 
  11 + a^(-6) - 3/a^4 - 3/a^2 - 4*a^2 - a^4 + 25*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 25*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3259] -> -a^(-14) + 2/a^12 + 4/a^10 - 11/a^8 + 5/a^6 + 
   2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 + (3*z^2)/a^10 - (23*z^2)/a^8 + 
   (9*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 3260] -> 2 + 2/a^6 - 9/a^4 + 9/a^2 - 
   3*a^2 + 11*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 - 7*a^2*z^2 - 
   a^4*z^2 + 18*z^4 + z^4/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 3261] -> 
  -a^(-14) + 3/a^12 - 2/a^10 + a^(-8) - 4/a^6 + 3/a^4 + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 3262] -> 3 + a^(-8) - 4/a^6 + 3/a^4 - 2*a^2 + 7*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   7*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - a^4*z^4 + 3*z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 3263] -> 
  -5 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 - a^2 + 2*a^4 - 8*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (21*z^2)/a^4 + (21*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 3264] -> -11 + a^(-6) - 6/a^4 + 12/a^2 + 7*a^2 - 
   2*a^4 - 29*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 32*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3265] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 16*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 
   8*a^4*z^2 - a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3266] -> 1 - a^(-4) + 3/a^2 - 5*a^2 + 3*a^4 + z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 14*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 3267] -> -3 + 11*a^2 - 10*a^4 + 3*a^6 - 9*z^2 + 
   z^2/a^2 + 22*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3268] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 26*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   27*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 28*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   32*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3269] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 - a^2 + 
   2*a^4 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 3270] -> 
  -6 + a^(-6) - 5/a^4 + 8/a^2 + 5*a^2 - 2*a^4 - 24*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (25*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 31*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (28*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3271] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + z^2 - z^2/a^2 + 9*a^2*z^2 - 
   17*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 18*a^2*z^4 - 
   22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3272] -> -a^(-4) + 2/a^2 + 8*z^2 - (4*z^2)/a^6 + 
   (16*z^2)/a^4 - (19*z^2)/a^2 + 20*z^4 - (8*z^4)/a^6 + (40*z^4)/a^4 - 
   (56*z^4)/a^2 + 18*z^6 - (5*z^6)/a^6 + (36*z^6)/a^4 - (61*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3273] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 5*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (16*z^2)/a^2 + a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (18*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + (9*z^6)/a^4 - (12*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 3274] -> -1 + 2*a^2 + a^4 - a^8 - 4*z^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 11*a^4*z^4 - 
   7*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 9*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 3275] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 
   72*z^2 + (9*z^2)/a^4 - (48*z^2)/a^2 - 28*a^2*z^2 + 116*z^4 + 
   (12*z^4)/a^4 - (71*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + (6*z^6)/a^4 - 
   (49*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 
   10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3276] -> 
  9 + a^(-4) - 6/a^2 - 2*a^2 - a^4 + 23*z^2 + (4*z^2)/a^4 - (20*z^2)/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 26*z^4 + (4*z^4)/a^4 - (22*z^4)/a^2 + 15*a^2*z^4 - 
   9*a^4*z^4 + 16*z^6 + z^6/a^4 - (11*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 3277] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 10*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3278] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 33*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (10*z^2)/a^2 - 15*a^2*z^2 + 38*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 3279] -> 
  4 - 2/a^2 - a^4 + 11*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 13*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 3280] -> 
  13 - 3/a^2 - 15*a^2 + 6*a^4 + 50*z^2 - (10*z^2)/a^2 - 70*a^2*z^2 + 
   27*a^4*z^2 + 72*z^4 - (12*z^4)/a^2 - 115*a^2*z^4 + 38*a^4*z^4 + 49*z^6 - 
   (6*z^6)/a^2 - 94*a^2*z^6 + 25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 3281] -> 5 - a^(-4) + 2/a^2 - 10*a^2 + 5*a^4 + 5*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 30*a^2*z^2 + 14*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 36*a^2*z^4 + 14*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3282] -> 
  -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 19*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 + 
   14*a^4*z^2 - 10*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 + 20*a^4*z^4 - 
   10*a^6*z^4 - 11*z^6 + z^6/a^2 + 16*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3283] -> -6 + a^(-2) + 9*a^2 - a^4 - 2*a^6 - 9*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 19*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 17*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3284] -> -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - 5*z^2 + 
   17*a^2*z^2 - 8*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   14*a^4*z^4 - 11*a^6*z^4 + 6*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3285] -> 
  -3 - 2/a^4 + 7/a^2 - 5*a^2 + 4*a^4 - 16*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 - 
   15*a^2*z^2 + 10*a^4*z^2 - 23*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 - 
   20*a^2*z^4 + 10*a^4*z^4 - 16*z^6 - z^6/a^4 + (11*z^6)/a^2 - 15*a^2*z^6 + 
   5*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3286] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 9*z^2 - z^2/a^4 + 
   z^2/a^2 - 15*a^2*z^2 + 6*a^4*z^2 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   17*a^2*z^4 + 7*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3287] -> 3 - a^(-2) - 2*a^2 + 4*a^4 - 5*a^6 + 2*a^8 + 
   7*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3288] -> 2 - a^(-6) + 3/a^4 - a^(-2) - 6*a^2 + 4*a^4 + 
   z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - 
   2*z^4 - z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 3289] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3290] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3291] -> -a^(-2) + 5*a^2 - 3*a^4 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3292] -> 
  -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 26*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (18*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 31*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (24*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3293] -> -1 + 3*a^2 - a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3294] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 3295] -> -2 - a^(-8) + 4/a^6 - 4/a^4 + 
   2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3296] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3297] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3298] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 
   20*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   20*a^4*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 12*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3299] -> 
  -2*a^4 + 3*a^6 + 8*a^8 - 11*a^10 + 3*a^12 - a^2*z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 + 24*a^8*z^2 - 22*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 14*a^6*z^4 + 26*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 + 13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 3300] -> -1 + 11*a^4 - 14*a^6 + 5*a^8 - 
   3*z^2 + 5*a^2*z^2 + 17*a^4*z^2 - 28*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 
   11*a^2*z^4 + 6*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3301] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3302] -> -3*a^4 + 8*a^6 - 6*a^10 + 2*a^12 - 
   a^2*z^2 - 6*a^4*z^2 + 22*a^6*z^2 + 4*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 23*a^6*z^4 + 8*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 3303] -> 
  8 + a^(-6) - 3/a^4 - a^(-2) - 4*a^2 + 20*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 - 10*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 3304] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3305] -> -1 + 3*a^2 - 6*a^4 + 14*a^6 - 12*a^8 + 
   3*a^10 - 3*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 36*a^6*z^2 - 21*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 15*a^2*z^4 - 26*a^4*z^4 + 35*a^6*z^4 - 13*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 3306] -> -a^4 - 3*a^6 + 20*a^8 - 21*a^10 + 6*a^12 - 
   5*a^4*z^2 - 6*a^6*z^2 + 63*a^8*z^2 - 51*a^10*z^2 + 9*a^12*z^2 - 
   8*a^4*z^4 + 77*a^8*z^4 - 46*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   7*a^6*z^6 + 47*a^8*z^6 - 19*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   15*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 3307] -> -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 
   a^2*z^2 - 7*a^4*z^2 + 21*a^6*z^2 + 11*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 24*a^6*z^4 + 14*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 3308] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 3*z^2 + 6*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 
   2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 10*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3309] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 3*z^2 + 6*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 
   2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 10*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3310] -> 
  5/a^8 - 21/a^6 + 26/a^4 - 9/a^2 + (13*z^2)/a^8 - (62*z^2)/a^6 + 
   (86*z^2)/a^4 - (30*z^2)/a^2 + (13*z^4)/a^8 - (78*z^4)/a^6 + 
   (122*z^4)/a^4 - (39*z^4)/a^2 + (6*z^6)/a^8 - (50*z^6)/a^6 + (95*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 3311] -> -3 + 3/a^8 - 11/a^6 + 9/a^4 + 3/a^2 - 9*z^2 + 
   (6*z^2)/a^8 - (26*z^2)/a^6 + (24*z^2)/a^4 + (11*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (27*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3312] -> -6 + a^(-8) - a^(-6) - 8/a^4 + 15/a^2 - 
   15*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - (11*z^2)/a^4 + (36*z^2)/a^2 - 
   14*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + (38*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (8*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3313] -> 6 + a^(-8) - 3/a^6 + 2/a^4 - 2/a^2 - 3*a^2 + 
   12*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 + 11*z^4 + z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 3314] -> 
  -3 + 7*a^2 - 4*a^4 + 3*a^6 - 2*a^8 - 7*z^2 + 17*a^2*z^2 - 6*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + 
   3*a^8*z^4 - z^6 + 11*a^2*z^6 - 8*a^4*z^6 - 7*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 3315] -> 1 - a^(-2) + a^2 + a^4 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3316] -> 
  -4 + 11*a^2 - 10*a^4 + 8*a^6 - 5*a^8 + a^10 - 8*z^2 + 24*a^2*z^2 - 
   20*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 5*z^4 + 23*a^2*z^4 - 
   18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 11*a^2*z^6 - 11*a^4*z^6 - 
   2*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3317] -> 
  5 - 2/a^2 - 5*a^2 + 6*a^4 - 3*a^6 + 9*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 + 
   13*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 7*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   8*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3318] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^4 - 2*a^6 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - 
   a^6*z^6, Knot[15, Alternating, 3319] -> -12 - 2/a^4 + 9/a^2 + 9*a^2 - 
   5*a^4 + 2*a^6 - 31*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 24*a^2*z^2 - 
   15*a^4*z^2 + 4*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 29*a^2*z^4 - 
   17*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3320] -> 2 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 3*a^4 + 
   2*a^6 + 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 4*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 3321] -> -12 - 2/a^4 + 9/a^2 + 9*a^2 - 
   5*a^4 + 2*a^6 - 34*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 25*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 37*z^4 - (2*z^4)/a^4 + (17*z^4)/a^2 + 
   27*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 21*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3322] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 46*z^2 + 
   (7*z^2)/a^4 - (33*z^2)/a^2 - 17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - 
   (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3323] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   17*a^2*z^2 - 8*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (13*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 3324] -> -2*a^4 + 3*a^6 + 8*a^8 - 11*a^10 + 3*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 + 24*a^8*z^2 - 22*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 14*a^6*z^4 + 26*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 3325] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3326] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - 3*z^2 + 
   8*a^2*z^2 + 3*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   3*a^4*z^4 - 13*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3327] -> 
  -a^(-4) + 3/a^2 - a^2 - 2*a^4 + 2*a^6 - 9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3328] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 18*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3329] -> 
  -8 - 2/a^4 + 8/a^2 + 4*a^2 - 3*a^4 + 2*a^6 - 26*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 18*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3330] -> 
  -1 + a^(-6) - 4/a^4 + 4/a^2 + 3*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3331] -> 
  -2 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3332] -> 
  -3 - a^(-6) + 3/a^4 + 3*a^2 - 3*a^4 + 2*a^6 - 4*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3333] -> -1 + 3*a^2 - a^6 + 2*z^2 - 12*a^2*z^2 + 
   23*a^4*z^2 - 10*a^6*z^2 + 7*z^4 - 37*a^2*z^4 + 59*a^4*z^4 - 21*a^6*z^4 + 
   5*z^6 - 35*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 3334] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - 
   10*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   23*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3335] -> 12 - 3/a^2 - 11*a^2 + a^4 + 2*a^6 + 31*z^2 - 
   (7*z^2)/a^2 - 30*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 + 30*z^4 - (5*z^4)/a^2 - 
   33*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - z^6/a^2 - 20*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 3336] -> 
  4 - a^(-4) + 2/a^2 - 6*a^2 + 2*a^6 + 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   16*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 + z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   17*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 3337] -> -4 - 2/a^4 + 7/a^2 - a^2 - a^4 + 2*a^6 - 
   7*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 9*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   3*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 3338] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 
   2*a^6 + z^2 - 7*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3339] -> 
  1 - a^(-6) + 3/a^4 - a^(-2) - 2*a^2 - a^4 + 2*a^6 - 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 3340] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^4*z^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3341] -> 
  22 + 3/a^4 - 15/a^2 - 9*a^2 + 72*z^2 + (9*z^2)/a^4 - (48*z^2)/a^2 - 
   27*a^2*z^2 + 103*z^4 + (10*z^4)/a^4 - (62*z^4)/a^2 - 33*a^2*z^4 + 80*z^6 + 
   (5*z^6)/a^4 - (41*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 3342] -> -8 - a^(-8) + 5/a^6 - 12/a^4 + 15/a^2 + 
   2*a^2 - 21*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + 
   (35*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3343] -> 
  -5 - 2/a^8 + 8/a^6 - 14/a^4 + 13/a^2 + a^2 - 19*z^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (31*z^2)/a^4 + (36*z^2)/a^2 + 4*a^2*z^2 - 26*z^4 + 
   (4*z^4)/a^6 - (24*z^4)/a^4 + (39*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 3344] -> -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 
   2/a^4 + 2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (26*z^4)/a^6 - 
   (18*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3345] -> 2/a^14 - 8/a^12 + 13/a^10 - 13/a^8 + 7/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (30*z^2)/a^10 - (35*z^2)/a^8 + (23*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (24*z^4)/a^10 - (38*z^4)/a^8 + (28*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^6)/a^10 - (20*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 3346] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (18*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3347] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (26*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 3348] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (18*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (26*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3349] -> 
  -2 + 5/a^8 - 21/a^6 + 24/a^4 - 5/a^2 - 8*z^2 + (9*z^2)/a^8 - (51*z^2)/a^6 + 
   (68*z^2)/a^4 - (9*z^2)/a^2 - 10*z^4 + (5*z^4)/a^8 - (47*z^4)/a^6 + 
   (79*z^4)/a^4 - 5*z^6 + z^6/a^8 - (19*z^6)/a^6 + (48*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3350] -> 
  -2/a^18 + 10/a^16 - 13/a^14 - a^(-12) + 7/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (36*z^2)/a^14 + (6*z^2)/a^12 + (24*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (31*z^4)/a^14 + (19*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - (8*z^6)/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 3351] -> 
  -2/a^10 + 8/a^8 - 11/a^6 + 5/a^4 + a^(-2) - (5*z^2)/a^10 + (26*z^2)/a^8 - 
   (35*z^2)/a^6 + (11*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (49*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (35*z^6)/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3352] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3353] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 2*z^2 + 
   (5*z^2)/a^8 - (26*z^2)/a^6 + (36*z^2)/a^4 - (9*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (49*z^4)/a^4 - (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3354] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + (15*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + (11*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 3355] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 11*z^2 + z^2/a^8 - z^2/a^6 - (14*z^2)/a^4 + 
   (28*z^2)/a^2 - 11*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (4*z^4)/a^4 + 
   (30*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 3356] -> -7 + a^(-2) + 13*a^2 - 6*a^4 - 
   18*z^2 + (3*z^2)/a^2 + 28*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   14*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3357] -> 
  -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (20*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + z^4/a^8 - z^4/a^6 - (11*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3358] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 3359] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 23*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (7*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 3360] -> 3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + 
   (8*z^2)/a^8 - (40*z^2)/a^6 + (57*z^2)/a^4 - (20*z^2)/a^2 + (9*z^4)/a^8 - 
   (55*z^4)/a^6 + (88*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 3361] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (12*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3362] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 58*z^2 + 
   (7*z^2)/a^4 - (38*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - 
   (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3363] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 14*a^2*z^2 - 
   8*a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 3364] -> 2 + a^(-10) - 5/a^8 + 8/a^6 - 4/a^4 - 
   a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (19*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (27*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3365] -> 
  -9 - a^(-8) + 5/a^6 - 9/a^4 + 11/a^2 + 4*a^2 - 25*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (23*z^2)/a^4 + (31*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 3366] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 3367] -> 
  -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + 8*a^2*z^2 - a^6*z^2 + a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 4*a^4*z^4 - 8*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3368] -> 
  -9 - a^(-8) + 5/a^6 - 9/a^4 + 11/a^2 + 4*a^2 - 25*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (23*z^2)/a^4 + (31*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 3369] -> -2*a^4 + 3*a^6 + 9*a^8 - 13*a^10 + 
   4*a^12 - 7*a^4*z^2 + 9*a^6*z^2 + 34*a^8*z^2 - 33*a^10*z^2 + 6*a^12*z^2 - 
   9*a^4*z^4 + 12*a^6*z^4 + 49*a^8*z^4 - 33*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 3370] -> -a^2 + 2*a^4 + 5*a^8 - 7*a^10 + 2*a^12 - 
   3*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 + 15*a^8*z^2 - 14*a^10*z^2 + 
   2*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 7*a^6*z^4 + 16*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 3371] -> -7 - a^(-6) + 3/a^4 + a^(-2) + 8*a^2 - 
   5*a^4 + 2*a^6 - 14*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   18*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 3372] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + (4*z^2)/a^8 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^10 + (9*z^4)/a^8 - (5*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3373] -> 3 - a^(-2) - a^2 + 17*z^2 + (2*z^2)/a^4 - 
   (11*z^2)/a^2 - 7*a^2*z^2 + 42*z^4 + (5*z^4)/a^4 - (27*z^4)/a^2 - 
   15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 3374] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3375] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 53*z^2 + 
   (6*z^2)/a^4 - (34*z^2)/a^2 - 21*a^2*z^2 + 88*z^4 + (9*z^4)/a^4 - 
   (53*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3376] -> 
  4 - 2/a^2 - a^4 + 9*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 3377] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 36*z^2 - 
   (7*z^2)/a^2 - 51*a^2*z^2 + 20*a^4*z^2 + 54*z^4 - (9*z^4)/a^2 - 
   87*a^2*z^4 + 29*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 74*a^2*z^6 + 20*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 3378] -> 
  1 - a^(-4) + 3/a^2 - 5*a^2 + 3*a^4 - 5*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   16*a^2*z^2 + 9*a^4*z^2 - 12*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   22*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3379] -> -a^(-4) + 3/a^2 - a^2 - 2*a^4 + 2*a^6 - 
   9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3380] -> 
  -2*a^4 + 4*a^6 + 5*a^8 - 8*a^10 + 2*a^12 - 7*a^4*z^2 + 10*a^6*z^2 + 
   30*a^8*z^2 - 28*a^10*z^2 + 5*a^12*z^2 - 9*a^4*z^4 + 12*a^6*z^4 + 
   48*a^8*z^4 - 32*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 3381] -> 
  -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 + 13*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3382] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 + z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (18*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 3383] -> -6 + a^(-2) + 9*a^2 - a^4 - 2*a^6 - 16*z^2 + 
   (3*z^2)/a^2 + 20*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 + 12*a^4*z^4 - 7*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3384] -> 
  -7 - 2/a^4 + 8/a^2 + 2*a^4 - 18*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 - 12*a^2*z^4 + 
   7*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3385] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 3386] -> -1 + a^2 + 5*a^4 - 5*a^6 + a^8 - 
   3*z^2 + 6*a^2*z^2 + 8*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 
   11*a^2*z^4 + a^4*z^4 - 14*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3387] -> 
  -a^2 + 3*a^4 - 4*a^6 + 10*a^8 - 9*a^10 + 2*a^12 - 3*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 + 20*a^8*z^2 - 15*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   6*a^6*z^4 + 17*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 3388] -> -1 + 3*a^2 - a^6 - 6*z^2 + z^2/a^2 + 
   8*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 
   10*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3389] -> -a^4 - 2*a^6 + 17*a^8 - 18*a^10 + 5*a^12 - 
   5*a^4*z^2 - 2*a^6*z^2 + 53*a^8*z^2 - 44*a^10*z^2 + 8*a^12*z^2 - 
   8*a^4*z^4 + 4*a^6*z^4 + 65*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 8*a^6*z^6 + 41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 3390] -> -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 
   a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 + 10*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 22*a^6*z^4 + 12*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 3391] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - z^2/a^2 - 11*a^2*z^2 + 
   14*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + z^4/a^2 - 6*a^2*z^4 + 18*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3392] -> 27 + 4/a^4 - 19/a^2 - 11*a^2 + 91*z^2 + 
   (12*z^2)/a^4 - (62*z^2)/a^2 - 34*a^2*z^2 + 131*z^4 + (13*z^4)/a^4 - 
   (80*z^4)/a^2 - 42*a^2*z^4 + 100*z^6 + (6*z^6)/a^4 - (51*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3393] -> 
  15 + a^(-6) - 2/a^4 - 6/a^2 - 7*a^2 + 38*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - 
   (8*z^2)/a^2 - 17*a^2*z^2 + 41*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (3*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 3394] -> -a^(-4) + 2/a^2 + 4*z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 + 14*z^4 - (5*z^4)/a^6 + (26*z^4)/a^4 - 
   (37*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - (46*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3395] -> 
  -1 + 3*a^2 - a^6 - 6*z^2 + z^2/a^2 + 8*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3396] -> 
  -2*a^4 + a^6 + 15*a^8 - 19*a^10 + 6*a^12 - 7*a^4*z^2 + 4*a^6*z^2 + 
   49*a^8*z^2 - 46*a^10*z^2 + 9*a^12*z^2 - 9*a^4*z^4 + 8*a^6*z^4 + 
   63*a^8*z^4 - 42*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 
   41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 3397] -> 
  -8 - a^(-6) + a^(-4) + 4/a^2 + 8*a^2 - 4*a^4 + a^6 - 16*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 3398] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - (8*z^4)/a^2 + 
   a^2*z^4 + (3*z^6)/a^6 - (6*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 3399] -> 
  2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3400] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 10*z^2 - 
   (4*z^2)/a^6 + (18*z^2)/a^4 - (22*z^2)/a^2 + 8*z^4 - (4*z^4)/a^6 + 
   (28*z^4)/a^4 - (41*z^4)/a^2 + 4*a^2*z^4 - 2*z^6 - z^6/a^6 + (16*z^6)/a^4 - 
   (33*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 3401] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (12*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^2 + 
   2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 3402] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (4*z^2)/a^12 - (19*z^2)/a^10 + 
   (23*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + 
   (42*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (33*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3403] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (10*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (9*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3404] -> -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 
   10*a^4*z^2 + 22*a^6*z^2 + 14*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 
   a^2*z^4 - 8*a^4*z^4 + 26*a^6*z^4 + 19*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 - a^4*z^6 + 15*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 3405] -> 
  2 - a^(-2) + 2*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2/a^2 + 13*a^2*z^2 - 
   21*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + z^4/a^2 + 20*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3406] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3407] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 19*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3408] -> 
  -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - 3*z^2 + 8*a^2*z^2 + 3*a^4*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 3*a^4*z^4 - 13*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 3409] -> -11 - 2/a^4 + 8/a^2 + 10*a^2 - 6*a^4 + 
   2*a^6 - 32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 36*z^4 - (2*z^4)/a^4 + (17*z^4)/a^2 + 28*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 21*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 3410] -> 
  -1 + a^(-6) - 4/a^4 + 4/a^2 + 3*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3411] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 4*z^2 - z^2/a^2 - 9*a^2*z^2 + 
   16*a^4*z^2 - 6*a^6*z^2 - 2*z^4 + z^4/a^2 - 5*a^2*z^4 + 19*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3412] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (5*z^2)/a^8 - (26*z^2)/a^6 + (38*z^2)/a^4 - (14*z^2)/a^2 + (8*z^4)/a^8 - 
   (46*z^4)/a^6 + (73*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + 
   (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 3413] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (19*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (21*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3414] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 58*z^2 + 
   (7*z^2)/a^4 - (38*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - 
   (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3415] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 26*z^2 - (5*z^2)/a^2 - 37*a^2*z^2 + 
   15*a^4*z^2 + 46*z^4 - (8*z^4)/a^2 - 73*a^2*z^4 + 25*a^4*z^4 + 37*z^6 - 
   (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 3416] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 9*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 21*a^2*z^2 + 9*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 3417] -> 
  -7 + a^(-2) + 13*a^2 - 6*a^4 - 18*z^2 + (3*z^2)/a^2 + 28*a^2*z^2 - 
   5*a^4*z^2 - 3*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 + 6*a^4*z^4 - 
   6*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3418] -> -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 11*z^4 + 
   (3*z^4)/a^4 - (14*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 3419] -> 
  -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + 8*a^2*z^2 - a^6*z^2 + a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 4*a^4*z^4 - 8*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3420] -> 
  -3*a^4 + 8*a^6 - 6*a^10 + 2*a^12 - 10*a^4*z^2 + 24*a^6*z^2 + 8*a^8*z^2 - 
   15*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 8*a^4*z^4 + 27*a^6*z^4 + 15*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 15*a^6*z^6 + 10*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 3421] -> -2*a^4 + 3*a^6 + 9*a^8 - 13*a^10 + 4*a^12 - 
   7*a^4*z^2 + 9*a^6*z^2 + 34*a^8*z^2 - 33*a^10*z^2 + 6*a^12*z^2 - 
   9*a^4*z^4 + 12*a^6*z^4 + 49*a^8*z^4 - 33*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 3422] -> -a^2 + 2*a^4 + 5*a^8 - 7*a^10 + 2*a^12 - 
   3*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 + 15*a^8*z^2 - 14*a^10*z^2 + 
   2*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 7*a^6*z^4 + 16*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 3423] -> 9 + a^(-4) - 6/a^2 - 2*a^2 - a^4 + 11*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3424] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 
   5*z^2 - z^2/a^2 - 11*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + z^4/a^2 - 
   6*a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3425] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^4*z^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3426] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (26*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3427] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3428] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (18*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3429] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 13*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 - z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3430] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 8*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3431] -> 
  1 - a^(-2) + 5*a^2 - 5*a^4 + a^8 + 3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   10*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   10*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3432] -> 
  13 + 2/a^6 - 6/a^4 - a^(-2) - 7*a^2 + 35*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (2*z^2)/a^2 - 17*a^2*z^2 + 40*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (9*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 3433] -> 
  3 + a^(-6) - 3/a^4 + 3*a^2 - 3*a^4 + 12*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3434] -> -a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - 4*a^4 + 
   2*a^6 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3435] -> 8 + 2/a^6 - 7/a^4 + 3/a^2 - 5*a^2 + 29*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 - 15*a^2*z^2 + 37*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 3436] -> 
  7 + a^(-6) - 3/a^4 - a^(-2) - 2*a^2 - a^4 + 15*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 14*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3437] -> -3 + 8*a^2 - 8*a^6 + 4*a^8 - 7*z^2 + 
   20*a^2*z^2 + 2*a^4*z^2 - 28*a^6*z^2 + 13*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 
   2*a^4*z^4 - 35*a^6*z^4 + 13*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3438] -> 
  1 - a^(-2) + 4*a^2 - a^4 - 5*a^6 + 3*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 11*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3439] -> 3 + a^(-4) - 4/a^2 + 2*a^2 + a^4 - 2*a^6 + 
   4*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 
   3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 3440] -> 5 - 2/a^2 - 2*a^4 - 2*a^6 + 
   2*a^8 + 9*z^2 - (3*z^2)/a^2 - 7*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - 
   z^4/a^2 - a^2*z^4 - 10*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 3441] -> 1 - a^(-4) + 2/a^2 - a^2 + a^4 - 
   3*a^6 + 2*a^8 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 
   a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 3442] -> -11 + a^(-6) - 5/a^4 + 10/a^2 + 9*a^2 - 
   3*a^4 - 29*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 22*a^2*z^2 - 
   6*a^4*z^2 - 32*z^4 + z^4/a^6 - (9*z^4)/a^4 + (25*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3443] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 12/a^6 - 5/a^4 + 2/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (33*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (35*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 - 
   (6*z^6)/a^8 + (18*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 3444] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 22*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 + 8*a^4*z^4 - 
   6*a^6*z^4 - 10*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3445] -> 5 + a^(-4) - 4/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 
   9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 
   7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 3446] -> 13 + 2/a^6 - 6/a^4 - a^(-2) - 
   7*a^2 + 35*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 - 17*a^2*z^2 + 
   40*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 3447] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (26*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3448] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 5*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - (10*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3449] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (8*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3450] -> -3/a^14 + 13/a^12 - 19/a^10 + 8/a^8 + 2/a^6 - 
   (7*z^2)/a^14 + (35*z^2)/a^12 - (51*z^2)/a^10 + (18*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^4)/a^14 + (38*z^4)/a^12 - (59*z^4)/a^10 + (9*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (39*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 3451] -> 
  -a^(-14) + 2/a^12 + 2/a^10 - 8/a^8 + 5/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (10*z^2)/a^12 + z^2/a^10 - (20*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (5*z^4)/a^10 - (23*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3452] -> -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (11*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - 
   (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3453] -> -a^(-14) + 2/a^12 + a^(-10) - 4/a^8 + 3/a^4 - 
   z^2/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - (9*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (10*z^4)/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 3454] -> a^(-8) - 4/a^6 + 4/a^4 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (13*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (23*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (21*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 3455] -> -6 - 2/a^8 + 7/a^6 - 10/a^4 + 
   10/a^2 + a^2 + a^4 - 15*z^2 - z^2/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + 
   (25*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 11*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (25*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (13*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (3*z^8)/a^2, Knot[15, Alternating, 3456] -> 
  -5 + 2/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - a^4 - 14*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (27*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3457] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 3458] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) - (4*z^2)/a^10 + (11*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^10 + (24*z^4)/a^8 - (23*z^4)/a^6 - (8*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (26*z^6)/a^6 - (9*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 3459] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3460] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3461] -> 
  a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (3*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3462] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3463] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (9*z^4)/a^6 + (6*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - z^6/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3464] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3465] -> -10 - 4/a^4 + 12/a^2 + 3*a^2 - a^4 + a^6 - 
   27*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 
   29*z^4 - z^4/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   15*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3466] -> 
  2 - 2/a^6 + 5/a^4 - 3/a^2 - 2*a^2 + a^6 + 3*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 3467] -> 
  a^(-14) - 5/a^12 + 11/a^10 - 13/a^8 + 6/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (20*z^2)/a^10 - (31*z^2)/a^8 + (19*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   (10*z^4)/a^10 - (27*z^4)/a^8 + (21*z^4)/a^6 - (2*z^4)/a^2 - (9*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3468] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3469] -> 
  5 - a^(-6) + 3/a^4 - 5/a^2 - a^4 + 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 3470] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 7/a^12 + 2/a^10 + a^(-8) - z^2/a^18 + 
   (16*z^2)/a^16 - (44*z^2)/a^14 + (23*z^2)/a^12 + (12*z^2)/a^10 + 
   (5*z^2)/a^8 + (5*z^4)/a^16 - (34*z^4)/a^14 + (31*z^4)/a^12 + 
   (21*z^4)/a^10 + (8*z^4)/a^8 - (8*z^6)/a^14 + (19*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 3471] -> -2 + 4/a^8 - 17/a^6 + 19/a^4 - 3/a^2 - 
   9*z^2 + (8*z^2)/a^8 - (44*z^2)/a^6 + (56*z^2)/a^4 - (3*z^2)/a^2 - 12*z^4 + 
   (5*z^4)/a^8 - (44*z^4)/a^6 + (69*z^4)/a^4 + (7*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (19*z^6)/a^6 + (45*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (15*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3472] -> -1 + 2/a^10 - 7/a^8 + 4/a^6 + 3/a^4 - 4*z^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 + (15*z^2)/a^4 - z^2/a^2 - 
   4*z^4 + z^4/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 + (22*z^4)/a^4 + z^4/a^2 - 
   z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 + (14*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 3473] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 6/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (13*z^2)/a^14 - (6*z^2)/a^12 + (17*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (8*z^4)/a^14 + (3*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 3474] -> -4 + 2/a^8 - 8/a^6 + 5/a^4 + 6/a^2 - 8*z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (11*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 
   3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (12*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 3475] -> 
  -1 + a^(-10) - 3/a^8 - a^(-6) + 5/a^4 - 3*z^2 + z^2/a^10 - (5*z^2)/a^8 - 
   z^2/a^6 + (11*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (11*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 3476] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + (4*z^2)/a^12 - (16*z^2)/a^10 + 
   (9*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (25*z^4)/a^10 + 
   (28*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3477] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3478] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (24*z^4)/a^8 - (23*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (26*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 3479] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3480] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (22*z^2)/a^8 - (27*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 
   (4*z^4)/a^10 + (29*z^4)/a^8 - (43*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (32*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 3481] -> 1 - a^(-12) + 4/a^10 - 6/a^8 + 
   4/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3482] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 2*z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3483] -> a^(-8) - 4/a^6 + 4/a^4 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (13*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (23*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (21*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 3484] -> a^(-12) - 2/a^10 - 3/a^8 + 
   6/a^6 - a^(-4) + (4*z^2)/a^12 - (16*z^2)/a^10 + (9*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (25*z^4)/a^10 + (28*z^4)/a^8 + 
   (14*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + 
   (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 3485] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (3*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (5*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3486] -> 
  a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^10 + (16*z^2)/a^8 - (20*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - (35*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 3487] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (4*z^2)/a^12 - (18*z^2)/a^10 + 
   (20*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + 
   (36*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3488] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + z^2/a^12 - (7*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3489] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (12*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + (18*z^4)/a^4 - (24*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 - z^6/a^6 + (13*z^6)/a^4 - (23*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 3490] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3491] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (12*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (12*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3492] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (12*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (9*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3493] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3494] -> 
  -1 + 4*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3495] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 3496] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3497] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3498] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 3499] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3500] -> 
  15 - 4/a^2 - 16*a^2 + 6*a^4 + 51*z^2 - (12*z^2)/a^2 - 64*a^2*z^2 + 
   23*a^4*z^2 + 68*z^4 - (13*z^4)/a^2 - 96*a^2*z^4 + 30*a^4*z^4 + 45*z^6 - 
   (6*z^6)/a^2 - 76*a^2*z^6 + 20*a^4*z^6 + 15*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 3501] -> -2 - 2/a^4 + 6/a^2 - 4*a^2 + 3*a^4 - 10*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 - 15*a^2*z^2 + 9*a^4*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 22*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3502] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 23*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3503] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 14*z^2 - 
   (6*z^2)/a^6 + (27*z^2)/a^4 - (37*z^2)/a^2 + 20*z^4 - (9*z^4)/a^6 + 
   (44*z^4)/a^4 - (63*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (55*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3504] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (6*z^4)/a^6 - (19*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 3505] -> 
  a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 3506] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 13*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3507] -> 
  1 - 7*a^2 + 14*a^4 - 7*a^6 - 5*z^2 + (2*z^2)/a^2 - 9*a^2*z^2 + 32*a^4*z^2 - 
   13*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 - a^2*z^4 + 32*a^4*z^4 - 11*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3508] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 18*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (18*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3509] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 12*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3510] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3511] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 8*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 17*a^4*z^2 - 
   9*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3512] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - z^2 - z^2/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 17*a^4*z^4 + 
   2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3513] -> 
  3 - a^(-2) - a^2 + 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 16*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 3514] -> -a^(-12) + 5/a^10 - 9/a^8 + 6/a^6 - a^(-4) + 
   a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (23*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (29*z^4)/a^6 - 
   (15*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (12*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3515] -> a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + 
   a^(-4) + z^2/a^14 - (9*z^2)/a^12 + (21*z^2)/a^10 - (23*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (28*z^4)/a^8 + 
   (17*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - (17*z^6)/a^8 + (12*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 3516] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 19*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   21*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3517] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3518] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 6/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (19*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3519] -> 
  -6 - a^(-8) + 3/a^6 - 5/a^4 + 8/a^2 + a^2 + a^4 - 14*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (22*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 3520] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   8*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3521] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (17*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (35*z^4)/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (30*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3522] -> 4/a^12 - 14/a^10 + 12/a^8 - a^(-4) + 
   (8*z^2)/a^12 - (41*z^2)/a^10 + (48*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^4)/a^12 - (41*z^4)/a^10 + (65*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (42*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 3523] -> 13 + a^(-4) - 8/a^2 - 4*a^2 - 
   a^4 + 25*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 - 
   3*a^4*z^2 + 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3524] -> 
  4 + a^(-6) - 5/a^4 + 4/a^2 - 3*a^2 + 8*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3525] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 18*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 3526] -> a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 
   4/a^6 + a^(-4) - (5*z^2)/a^12 + (17*z^2)/a^10 - (24*z^2)/a^8 + 
   (15*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + (10*z^4)/a^10 - (24*z^4)/a^8 + 
   (18*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (9*z^6)/a^8 + (10*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3527] -> 
  -a^(-6) + a^(-4) + 2/a^2 - 2*a^2 + a^6 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 3528] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 3529] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 5*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (15*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + (22*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3530] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (3*z^4)/a^8 + (23*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3531] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - z^2/a^10 - 
   (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3532] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3533] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - z^2/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (20*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3534] -> 
  -2/a^14 + 8/a^12 - 10/a^10 + a^(-8) + 4/a^6 - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (13*z^2)/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - (14*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3535] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 6*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3536] -> -2 - 2/a^4 + 4/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 
   20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3537] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 3538] -> a^(-12) - 2/a^10 - 3/a^8 + 5/a^6 + 
   a^(-4) - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + (16*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (6*z^4)/a^8 + (20*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3539] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3540] -> 5/a^12 - 17/a^10 + 14/a^8 + 
   a^(-6) - 2/a^4 + (8*z^2)/a^12 - (43*z^2)/a^10 + (48*z^2)/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^12 - (41*z^4)/a^10 + (63*z^4)/a^8 + 
   (8*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (41*z^6)/a^8 + 
   (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 3541] -> 
  -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 6/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (37*z^2)/a^14 + (9*z^2)/a^12 + (23*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (31*z^4)/a^14 + (20*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - (8*z^6)/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 3542] -> 
  -3/a^14 + 13/a^12 - 17/a^10 + 4/a^8 + 4/a^6 - (7*z^2)/a^14 + 
   (35*z^2)/a^12 - (48*z^2)/a^10 + (10*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (38*z^4)/a^12 - (58*z^4)/a^10 + (4*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (39*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 3543] -> 
  -2 + 4/a^8 - 15/a^6 + 15/a^4 - a^(-2) - 7*z^2 + (8*z^2)/a^8 - 
   (39*z^2)/a^6 + (46*z^2)/a^4 - (2*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - 
   (40*z^4)/a^6 + (59*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (40*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3544] -> -a^(-14) + 3/a^12 - 6/a^8 + 3/a^6 + 2/a^4 - 
   (3*z^2)/a^14 + (11*z^2)/a^12 - (3*z^2)/a^10 - (16*z^2)/a^8 + (7*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - (20*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3545] -> 2/a^10 - 6/a^8 + 2/a^6 + 5/a^4 - 2/a^2 - 
   2*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + (17*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + 
   (21*z^4)/a^4 - (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + 
   (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 3546] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 
   3/a^4 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (14*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3547] -> 
  -5 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + a^4 - 10*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   6*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 3548] -> a^(-14) - 5/a^12 + 10/a^10 - 10/a^8 + 3/a^6 + 
   2/a^4 - (5*z^2)/a^12 + (18*z^2)/a^10 - (23*z^2)/a^8 + (10*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + (9*z^4)/a^10 - (20*z^4)/a^8 + (11*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (7*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3549] -> 
  -a^(-18) + 6/a^16 - 9/a^14 + 4/a^10 + a^(-8) + (6*z^2)/a^16 - 
   (20*z^2)/a^14 + (4*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   (11*z^4)/a^14 + (10*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 3550] -> -2 + 3/a^8 - 13/a^6 + 14/a^4 - a^(-2) - 
   8*z^2 + (6*z^2)/a^8 - (33*z^2)/a^6 + (41*z^2)/a^4 + z^2/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (52*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (36*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3551] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3552] -> 
  3/a^12 - 10/a^10 + 7/a^8 + a^(-6) + a^(-4) - a^(-2) + (3*z^2)/a^12 - 
   (19*z^2)/a^10 + (19*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (12*z^4)/a^10 + (19*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3553] -> -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 
   3/a^10 + 2/a^8 + (5*z^2)/a^16 - (14*z^2)/a^14 - z^2/a^12 + (11*z^2)/a^10 + 
   (8*z^2)/a^8 + z^2/a^6 - (8*z^4)/a^14 + (5*z^4)/a^12 + (14*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 3554] -> -2/a^14 + 8/a^12 - 9/a^10 + 
   a^(-8) + a^(-6) + 2/a^4 - (3*z^2)/a^14 + (16*z^2)/a^12 - (19*z^2)/a^10 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (17*z^4)/a^10 - 
   (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 3555] -> 1 + 2/a^8 - 8/a^6 + 8/a^4 - 
   a^(-2) - a^2 + 2*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + (18*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (17*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 3556] -> -a^(-14) + 3/a^12 - a^(-10) - 3/a^8 + 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (8*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 3557] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - z^2 + z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + 
   (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 3558] -> 2 - a^(-2) + a^2 - 2*a^6 + 
   a^8 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3559] -> 
  1 + 3/a^6 - 12/a^4 + 12/a^2 - 3*a^2 + 9*z^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + 
   (27*z^2)/a^2 - 9*a^2*z^2 + 18*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + 
   (28*z^4)/a^2 - 10*a^2*z^4 + 15*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (17*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 3560] -> 
  7 + a^(-6) - 3/a^4 - a^(-2) - 2*a^2 - a^4 + 15*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 15*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3561] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3562] -> -1 + 2/a^10 - 8/a^8 + 12/a^6 - 10/a^4 + 
   6/a^2 - 3*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (30*z^2)/a^6 - 
   (27*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (30*z^4)/a^6 - (31*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3563] -> 
  1 + a^(-10) - 5/a^8 + 10/a^6 - 9/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3564] -> -11 - a^(-4) + 5/a^2 + 14*a^2 - 7*a^4 + a^6 - 
   30*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 31*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 33*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 29*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3565] -> -4 - a^(-8) + 6/a^6 - 14/a^4 + 14/a^2 - 
   12*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (32*z^2)/a^4 + (34*z^2)/a^2 + 
   a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - (30*z^4)/a^4 + (36*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3566] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 - 
   z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3567] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 7*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 24*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3568] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3569] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3570] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 11*z^2 - 
   (6*z^2)/a^6 + (24*z^2)/a^4 - (29*z^2)/a^2 + 19*z^4 - (9*z^4)/a^6 + 
   (43*z^4)/a^4 - (58*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3571] -> 
  6 - 2/a^6 + 9/a^4 - 12/a^2 + 21*z^2 - (9*z^2)/a^6 + (41*z^2)/a^4 - 
   (56*z^2)/a^2 + 29*z^4 - (12*z^4)/a^6 + (62*z^4)/a^4 - (91*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 3572] -> 3 - a^(-4) + 2/a^2 - 6*a^2 + 
   3*a^4 + z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 17*a^2*z^2 + 8*a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 20*a^2*z^4 + 8*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3573] -> 
  5 - a^(-8) + 3/a^6 + a^(-4) - 7/a^2 + 11*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (2*z^2)/a^4 - (22*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (8*z^4)/a^4 - (26*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 3574] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 6*z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 27*a^4*z^2 - 
   12*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 31*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3575] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 3576] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 15*a^2*z^4 + 
   7*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3577] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 2*z^2 - 
   z^2/a^2 + 19*a^2*z^2 - 23*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 
   14*a^2*z^4 - 23*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3578] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3579] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 6*z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 27*a^4*z^2 - 
   12*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 31*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3580] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 3581] -> 
  -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - z^2 - z^2/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 
   16*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3582] -> -1 + 3*a^2 - a^6 - 6*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 19*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3583] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3584] -> -3 + 6*a^2 - a^4 + a^6 - 3*a^8 + a^10 - 
   4*z^2 - z^2/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 
   3*a^4*z^8, Knot[15, Alternating, 3585] -> -2 + a^(-10) - 2/a^8 - 2/a^6 + 
   3/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3586] -> 
  1 + a^(-8) - 4/a^6 + 3/a^4 + a^(-2) - a^2 + 3*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3587] -> -4 + a^(-10) - 3/a^8 + 3/a^6 - 6/a^4 + 
   10/a^2 - 10*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + 
   (29*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (28*z^4)/a^4 + 
   (34*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3588] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^12 - (8*z^4)/a^10 + 
   (5*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3589] -> 
  -2/a^18 + 9/a^16 - 10/a^14 - 4/a^12 + 8/a^10 - z^2/a^18 + (14*z^2)/a^16 - 
   (30*z^2)/a^14 - (3*z^2)/a^12 + (29*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (28*z^4)/a^14 + (10*z^4)/a^12 + (39*z^4)/a^10 + (3*z^4)/a^8 - 
   (8*z^6)/a^14 + (13*z^6)/a^12 + (23*z^6)/a^10 + (3*z^6)/a^8 + 
   (4*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 3590] -> 
  -4 - 2/a^4 + 5/a^2 + 4*a^2 - 3*a^4 + a^6 - 12*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 3591] -> 
  -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 10*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 - (3*z^4)/a^6 + z^4/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   6*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 3592] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 6*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3593] -> 
  5 - a^(-6) + 3/a^4 - 5/a^2 - a^4 + 8*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 3594] -> 
  -5 - a^(-8) + 4/a^6 - 9/a^4 + 11/a^2 + a^2 - 20*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (22*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 27*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 3595] -> -3 + a^(-10) - 4/a^8 + 6/a^6 - 
   8/a^4 + 9/a^2 - 8*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - 
   (26*z^2)/a^4 + (26*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (31*z^4)/a^4 + (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3596] -> -a^(-18) + 6/a^16 - 8/a^14 - 3/a^12 + 
   7/a^10 - z^2/a^18 + (12*z^2)/a^16 - (30*z^2)/a^14 + (3*z^2)/a^12 + 
   (26*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (30*z^4)/a^14 + (19*z^4)/a^12 + 
   (36*z^4)/a^10 + (3*z^4)/a^8 - (9*z^6)/a^14 + (18*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 3597] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + (22*z^2)/a^6 - 
   (17*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (20*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3598] -> 1 - 2/a^8 + 5/a^6 - 2/a^4 - 2/a^2 + a^2 - 
   z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3599] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + 3/a^4 - 5/a^2 + a^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + z^6/a^4 + z^6/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 3600] -> -2/a^4 + 4/a^2 - a^2 - a^4 + a^6 - 8*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 4*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   6*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 3601] -> 5 - a^(-6) + 2/a^4 - 2/a^2 - 
   4*a^2 + a^6 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 3602] -> -a^(-18) + 6/a^16 - 9/a^14 + 
   4/a^10 + a^(-8) - z^2/a^18 + (12*z^2)/a^16 - (32*z^2)/a^14 + 
   (11*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (31*z^4)/a^14 + (26*z^4)/a^12 + (26*z^4)/a^10 + (6*z^4)/a^8 - 
   (9*z^6)/a^14 + (20*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 3603] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 4/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (3*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (21*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3604] -> 
  -1 + 3/a^8 - 12/a^6 + 13/a^4 - 2/a^2 - 5*z^2 + (6*z^2)/a^8 - (30*z^2)/a^6 + 
   (37*z^2)/a^4 - (3*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (46*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (32*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3605] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - 
   z^4/a^8 - (8*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3606] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3607] -> -11 - 3/a^4 + 10/a^2 + 5*a^2 + a^4 - a^6 - 
   22*z^2 + z^2/a^6 - (7*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 15*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 3608] -> a^(-14) - 4/a^12 + 6/a^10 - 
   5/a^8 + a^(-6) + 2/a^4 - z^2/a^14 - z^2/a^12 + (10*z^2)/a^10 - 
   (12*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + 
   (3*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3609] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 - (4*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 3610] -> -6 - 2/a^4 + 6/a^2 + 3*a^2 + a^4 - a^6 - 
   11*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 12*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 11*a^2*z^6 - a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 3611] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^6*z^4 - 
   3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 3612] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 3/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (12*z^2)/a^10 + (7*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (17*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3613] -> -2/a^14 + 9/a^12 - 12/a^10 + 3/a^8 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (13*z^2)/a^12 - (19*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (12*z^4)/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3614] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3615] -> 3 + 2/a^6 - 8/a^4 + 7/a^2 - 3*a^2 + 9*z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (21*z^2)/a^2 - 8*a^2*z^2 + 16*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 3616] -> 
  2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3617] -> -3 + 9*a^2 - 4*a^4 - 3*a^6 + 2*a^8 - 7*z^2 + 
   24*a^2*z^2 - 14*a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 
   19*a^4*z^4 - 14*a^6*z^4 + 8*a^8*z^4 - z^6 + 12*a^2*z^6 - 14*a^4*z^6 - 
   13*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3618] -> 
  1 - a^(-2) + 5*a^2 - 5*a^4 + a^8 + 4*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   10*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3619] -> 2 + a^(-4) - 4/a^2 + 6*a^2 - 4*a^4 + 2*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 16*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 8*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3620] -> 5 - 2/a^2 + a^2 - 6*a^4 + 3*a^6 + 9*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 7*z^4 - 
   z^4/a^2 - 15*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3621] -> 1 - a^(-4) + 2/a^2 - 3*a^4 + 2*a^6 + z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + a^8*z^2 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 3622] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + (2*z^2)/a^12 - z^2/a^10 - (18*z^2)/a^8 + 
   (29*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 - (8*z^4)/a^8 + 
   (30*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + 
   (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 3623] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 4/a^6 + 5/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (7*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 3624] -> 
  -10 + 2/a^6 - 9/a^4 + 15/a^2 + 3*a^2 - 29*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (34*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (32*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3625] -> 
  -3 + a^(-8) - 4/a^6 + 5/a^4 + 2*a^2 - 8*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3626] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (19*z^2)/a^8 + 
   (26*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (12*z^4)/a^8 + 
   (23*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + 
   (11*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3627] -> -10 + 2/a^6 - 9/a^4 + 15/a^2 + 3*a^2 - 
   26*z^2 + (4*z^2)/a^6 - (20*z^2)/a^4 + (35*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   26*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3628] -> 
  -9 - a^(-6) + 2/a^4 + 3/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 3629] -> -12 + a^(-6) - 5/a^4 + 11/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (26*z^2)/a^2 + 19*a^2*z^2 - 
   4*a^4*z^2 - 35*z^4 + z^4/a^6 - (9*z^4)/a^4 + (26*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3630] -> 
  -2 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3631] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3632] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3633] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (23*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3634] -> 
  3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 17*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3635] -> 
  1 - 2/a^6 + 8/a^4 - 8/a^2 + 2*a^2 - 8*z^2 - (5*z^2)/a^6 + (20*z^2)/a^4 - 
   (18*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - 
   (17*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 3636] -> 
  -a^(-8) + 3/a^6 - 3/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 3637] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3638] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3639] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 8*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 17*a^4*z^2 - 
   9*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3640] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - z^2 - z^2/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 17*a^4*z^4 + 
   2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3641] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 2*z^2 - z^2/a^2 + 19*a^2*z^2 - 
   23*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 14*a^2*z^4 - 
   23*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 11*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3642] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3643] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (19*z^2)/a^8 + (31*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (33*z^4)/a^6 - (30*z^4)/a^4 + (8*z^4)/a^2 - (6*z^6)/a^8 + 
   (17*z^6)/a^6 - (19*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 3644] -> 
  -3 + 7*a^2 - 4*a^4 + 3*a^6 - 2*a^8 - z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3645] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + 4*z^2 - z^2/a^4 + a^2*z^2 + 2*a^6*z^2 + 
   3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 3646] -> 
  -2 + a^2 + 8*a^4 - 6*a^6 - a^8 + a^10 - 5*z^2 + 5*a^2*z^2 + 17*a^4*z^2 - 
   10*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 4*z^4 + 10*a^2*z^4 + 12*a^4*z^4 - 
   8*a^6*z^4 + a^8*z^4 - z^6 + 8*a^2*z^6 + a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 3647] -> 1 - a^(-2) - a^2 + 8*a^4 - 8*a^6 + 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 17*a^4*z^2 - 14*a^6*z^2 + 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 - a^2*z^4 + 12*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3648] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 3649] -> -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (26*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (39*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 3650] -> 1 - a^(-10) + a^(-8) + 4/a^6 - 
   7/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - 
   (17*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3651] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (10*z^2)/a^8 + (4*z^2)/a^6 + z^4/a^12 - 
   (8*z^4)/a^10 + (9*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3652] -> 
  -2 + 5/a^8 - 19/a^6 + 20/a^4 - 3/a^2 - 6*z^2 + (9*z^2)/a^8 - (46*z^2)/a^6 + 
   (58*z^2)/a^4 - (8*z^2)/a^2 - 7*z^4 + (5*z^4)/a^8 - (43*z^4)/a^6 + 
   (69*z^4)/a^4 - (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (18*z^6)/a^6 + 
   (43*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3653] -> 
  2/a^10 - 5/a^8 - 2/a^6 + 10/a^4 - 4/a^2 - z^2 + (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (2*z^2)/a^6 + (24*z^2)/a^4 - (9*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + (24*z^4)/a^4 - (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 3654] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 - a^(-6) + 3/a^4 - (5*z^2)/a^12 + 
   (16*z^2)/a^10 - (17*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + (10*z^4)/a^10 - 
   (21*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^2 - (9*z^6)/a^8 + (8*z^6)/a^6 - 
   z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3655] -> 
  1 - a^(-12) + 4/a^10 - 8/a^8 + 11/a^6 - 9/a^4 + 3/a^2 + 2*z^2 + 
   (5*z^2)/a^10 - (17*z^2)/a^8 + (28*z^2)/a^6 - (22*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - (10*z^4)/a^8 + (25*z^4)/a^6 - (23*z^4)/a^4 + z^6 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3656] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 + 
   5*a^2*z^2 + 17*a^4*z^2 - 12*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 
   15*a^4*z^4 - 15*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 + 2*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3657] -> 
  -4 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 6/a^2 + 2*a^2 - 9*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (6*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 3658] -> 2 - a^(-2) - 4*a^2 + 10*a^4 - 7*a^6 + a^8 + 
   3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 15*a^4*z^2 - 10*a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3659] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (21*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3660] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (11*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 3661] -> -3 - a^(-6) + 4/a^2 + a^2 - 
   7*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (14*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + 
   (12*z^6)/a^4 - (17*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (10*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 3662] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 
   4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (12*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3663] -> -a^(-18) + 6/a^16 - 9/a^14 + 4/a^10 + 
   a^(-8) - z^2/a^18 + (12*z^2)/a^16 - (32*z^2)/a^14 + (11*z^2)/a^12 + 
   (17*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - (31*z^4)/a^14 + 
   (26*z^4)/a^12 + (26*z^4)/a^10 + (6*z^4)/a^8 - (9*z^6)/a^14 + 
   (20*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 3664] -> 
  3/a^12 - 10/a^10 + 7/a^8 + 2/a^6 - a^(-4) + (5*z^2)/a^12 - (27*z^2)/a^10 + 
   (29*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + 
   (43*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (31*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3665] -> -1 + 4/a^8 - 16/a^6 + 18/a^4 - 4/a^2 - 
   4*z^2 + (6*z^2)/a^8 - (33*z^2)/a^6 + (44*z^2)/a^4 - (7*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (49*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (32*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3666] -> -6 - 2/a^8 + 6/a^6 - 7/a^4 + 7/a^2 + 3*a^2 - 
   22*z^2 - z^2/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (25*z^2)/a^2 + 
   7*a^2*z^2 - 29*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (31*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 3667] -> 
  -5 - a^(-10) + 2/a^8 - 2/a^4 + 4/a^2 + 3*a^2 - 12*z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3668] -> 
  10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 16*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3669] -> 1 + a^(-6) - 5/a^4 + 5/a^2 - a^4 + 
   2*z^2 + z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + (3*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 3670] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3671] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (5*z^2)/a^10 + 
   z^2/a^8 + (9*z^2)/a^6 - z^2/a^4 + z^4/a^12 - (5*z^4)/a^10 + (16*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (12*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3672] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3673] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 + (14*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (7*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3674] -> -a^(-12) + a^(-10) + 6/a^8 - 
   11/a^6 + 4/a^4 + 2/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + z^2/a^8 - 
   (19*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - 
   (14*z^4)/a^8 - (10*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (2*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 3675] -> 
  1 - a^(-12) + 2/a^10 + a^(-6) - 5/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (2*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 - z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3676] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 4/a^6 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (6*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (17*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3677] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2 - z^2/a^12 + (5*z^2)/a^10 - (14*z^2)/a^8 + (23*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (21*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3678] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 2*z^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - (9*z^2)/a^4 - 
   z^2/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (19*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3679] -> 
  3/a^12 - 10/a^10 + 7/a^8 + 2/a^6 - a^(-4) + (5*z^2)/a^12 - (27*z^2)/a^10 + 
   (29*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + 
   (43*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (31*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3680] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (9*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (12*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3681] -> 
  a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^10 + (16*z^2)/a^8 - (20*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - (35*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 3682] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (4*z^2)/a^12 - (18*z^2)/a^10 + 
   (20*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + 
   (36*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3683] -> -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (9*z^2)/a^12 - (7*z^2)/a^10 - 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (7*z^4)/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3684] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (2*z^2)/a^12 + (6*z^2)/a^10 - (11*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 3685] -> 2/a^12 - 6/a^10 + 2/a^8 + 3/a^6 + a^(-4) - 
   a^(-2) + (2*z^2)/a^12 - (12*z^2)/a^10 + (7*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + 
   (17*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 3686] -> -a^(-14) + 5/a^12 - 7/a^10 + 
   a^(-8) + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (12*z^2)/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (9*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3687] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3688] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^6 + 3/a^4 - 
   (5*z^2)/a^12 + (13*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (9*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - 
   (7*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3689] -> -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 
   6/a^10 + a^(-8) + (6*z^2)/a^16 - (16*z^2)/a^14 - (6*z^2)/a^12 + 
   (21*z^2)/a^10 + (5*z^2)/a^8 - (11*z^4)/a^14 + (5*z^4)/a^12 + 
   (24*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + (6*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 3690] -> 
  -2 + 4/a^8 - 17/a^6 + 19/a^4 - 3/a^2 - 7*z^2 + (6*z^2)/a^8 - (36*z^2)/a^6 + 
   (48*z^2)/a^4 - (3*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (34*z^4)/a^6 + 
   (55*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (36*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3691] -> 
  10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 31*z^2 + (4*z^2)/a^4 - (23*z^2)/a^2 - 
   6*a^4*z^2 + 44*z^4 + (4*z^4)/a^4 - (29*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 
   33*z^6 + z^6/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - 
   (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 3692] -> 1 + a^(-6) - 5/a^4 + 5/a^2 - a^4 + 8*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 3*a^4*z^2 + 15*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3693] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (12*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (12*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3694] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (12*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (9*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3695] -> 
  -10 - a^(-8) + 4/a^6 - 8/a^4 + 12/a^2 + 4*a^2 - 24*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (22*z^2)/a^4 + (30*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3696] -> 
  4 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 - 9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 3697] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3698] -> -8 - a^(-8) + 4/a^6 - 6/a^4 + 8/a^2 + 4*a^2 - 
   18*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3699] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (12*z^2)/a^8 - (10*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (11*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3700] -> 6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 17*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 - 10*a^2*z^2 + 23*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 3701] -> 
  2 + a^(-6) - 3/a^4 + a^(-2) + 2*a^2 - 2*a^4 + 9*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3702] -> 8 - 3/a^6 + 13/a^4 - 17/a^2 + 24*z^2 - 
   (11*z^2)/a^6 + (49*z^2)/a^4 - (66*z^2)/a^2 + 30*z^4 - (13*z^4)/a^6 + 
   (67*z^4)/a^4 - (97*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (76*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3703] -> 
  -4 - 2/a^6 + 7/a^4 - 4/a^2 + 4*a^2 - 18*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - 
   (10*z^2)/a^2 + 10*a^2*z^2 - 24*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (12*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 3704] -> 
  7 - a^(-8) + 2/a^6 + 5/a^4 - 12/a^2 + 12*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 - (27*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (7*z^4)/a^4 - (27*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 3705] -> 
  -5 - a^(-8) + 3/a^6 - a^(-4) + a^(-2) + 4*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 3706] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (23*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3707] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3708] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 13*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 14*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3709] -> 3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3710] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 10*z^2 + 
   z^2/a^4 - z^2/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3711] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3712] -> 
  1 - 7*a^2 + 14*a^4 - 7*a^6 - 5*z^2 + (2*z^2)/a^2 - 9*a^2*z^2 + 32*a^4*z^2 - 
   13*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 - a^2*z^4 + 32*a^4*z^4 - 11*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3713] -> 
  3 - a^(-2) - a^2 + 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 16*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 3714] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3715] -> -8 + a^(-6) - 6/a^4 + 11/a^2 + 4*a^2 - a^4 - 
   18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3716] -> 
  1 - a^(-4) + a^(-2) + 2*a^2 - 3*a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 3717] -> 1 - a^(-2) + 5*a^4 - 5*a^6 + 
   a^8 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   4*z^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   3*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3718] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (16*z^4)/a^8 - (19*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (20*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3719] -> 2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (3*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3720] -> 3/a^12 - 10/a^10 + 9/a^8 - 2/a^6 + a^(-4) + 
   (5*z^2)/a^12 - (27*z^2)/a^10 + (34*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^12 - (29*z^4)/a^10 + (47*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (32*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3721] -> -8 - 2/a^8 + 7/a^6 - 11/a^4 + 12/a^2 + 
   3*a^2 - 26*z^2 - z^2/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + (32*z^2)/a^2 + 
   8*a^2*z^2 - 32*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (34*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 3722] -> 
  -5 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 + 2/a^2 + 3*a^2 - 11*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 
   9*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3723] -> 
  3 - a^(-4) - a^4 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3724] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 6/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (19*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3725] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 + 
   z^2/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (24*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 3726] -> -2/a^12 + 6/a^10 - 6/a^8 + 3/a^4 - 
   z^2/a^14 + z^2/a^12 + (10*z^2)/a^10 - (13*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (3*z^4)/a^10 - (13*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 3727] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 3728] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 
   9/a^6 - 3/a^4 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + 
   (19*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (14*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3729] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3730] -> -4 + a^(-6) - 6/a^4 + 9/a^2 + 2*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - 2*a^4*z^4 + 
   9*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 3731] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (9*z^2)/a^4 + z^2/a^2 - 5*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + 
   (22*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (23*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3732] -> 
  1 + 3/a^6 - 12/a^4 + 12/a^2 - 3*a^2 + 9*z^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + 
   (27*z^2)/a^2 - 9*a^2*z^2 + 18*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + 
   (28*z^4)/a^2 - 10*a^2*z^4 + 15*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (17*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 3733] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3734] -> 
  -1 + 4*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3735] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - z^4/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3736] -> 2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + 4*z^2 - 
   z^2/a^10 + (12*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3737] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3738] -> 
  -10 - a^(-8) + 4/a^6 - 8/a^4 + 12/a^2 + 4*a^2 - 26*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (21*z^2)/a^4 + (33*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (36*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 3739] -> 6 - 2/a^6 + 9/a^4 - 12/a^2 + 15*z^2 - 
   (7*z^2)/a^6 + (31*z^2)/a^4 - (42*z^2)/a^2 + 20*z^4 - (9*z^4)/a^6 + 
   (45*z^4)/a^4 - (64*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (55*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3740] -> 
  -7 - a^(-8) + 4/a^6 - 5/a^4 + 6/a^2 + 4*a^2 - 19*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3741] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 + a^2*z^2 + 13*a^4*z^2 - 
   6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 3742] -> 
  -2*a^4 + 4*a^6 + 5*a^8 - 8*a^10 + 2*a^12 - a^2*z^2 - 5*a^4*z^2 + 
   15*a^6*z^2 + 15*a^8*z^2 - 16*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 21*a^6*z^4 + 17*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   14*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 3743] -> -10 + a^(-6) - 5/a^4 + 9/a^2 + 10*a^2 - 
   4*a^4 - 27*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 24*a^2*z^2 - 
   7*a^4*z^2 - 31*z^4 + z^4/a^6 - (9*z^4)/a^4 + (25*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3744] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 9*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*a^2*z^2 + 16*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (8*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 3745] -> 3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + z^2 - 
   8*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   23*a^4*z^4 - 8*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3746] -> -3*a^4 + 8*a^6 - 6*a^10 + 2*a^12 - a^2*z^2 - 
   7*a^4*z^2 + 23*a^6*z^2 + 5*a^8*z^2 - 13*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 26*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 3747] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 
   37*z^2 + (6*z^2)/a^4 - (27*z^2)/a^2 - 14*a^2*z^2 + 63*z^4 + (9*z^4)/a^4 - 
   (44*z^4)/a^2 - 20*a^2*z^4 + 55*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 3748] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 20*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 3749] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 + 
   10*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3750] -> -11 + a^(-6) - 5/a^4 + 10/a^2 + 9*a^2 - 
   3*a^4 - 29*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 22*a^2*z^2 - 
   6*a^4*z^2 - 32*z^4 + z^4/a^6 - (9*z^4)/a^4 + (25*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3751] -> 
  -5 + a^(-2) + 6*a^2 + 2*a^4 - 3*a^6 - 8*z^2 + z^2/a^4 - z^2/a^2 + 
   12*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 3752] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 20*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3753] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 
   7/a^2 - 9*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + z^2/a^4 + (19*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (4*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3754] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 8*z^2 + 
   z^2/a^2 + 23*a^2*z^2 - 24*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 26*a^2*z^4 - 26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3755] -> 
  -2*a^4 + 3*a^6 + 8*a^8 - 11*a^10 + 3*a^12 - a^2*z^2 - 5*a^4*z^2 + 
   13*a^6*z^2 + 21*a^8*z^2 - 21*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 20*a^6*z^4 + 21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   14*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 3756] -> -a^2 + 2*a^4 - 2*a^6 + 10*a^8 - 11*a^10 + 
   3*a^12 - 3*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 + 22*a^8*z^2 - 20*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 12*a^6*z^4 + 22*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 3757] -> 4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + 
   (12*z^2)/a^8 - (56*z^2)/a^6 + (77*z^2)/a^4 - (27*z^2)/a^2 + (13*z^4)/a^8 - 
   (72*z^4)/a^6 + (109*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + 
   (82*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 3758] -> -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 11*z^2 + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (11*z^2)/a^4 + (19*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (14*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3759] -> -4 + a^(-8) - 2/a^6 - 4/a^4 + 10/a^2 - 
   11*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (25*z^2)/a^2 - 11*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (2*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 3760] -> -6 + a^(-6) - 4/a^4 + 6/a^2 + 7*a^2 - 3*a^4 - 
   20*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 19*a^2*z^2 - 
   6*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3761] -> 
  -2 + a^(-6) - 4/a^4 + 4/a^2 + 5*a^2 - 3*a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3762] -> 
  13 + 2/a^6 - 6/a^4 - a^(-2) - 7*a^2 + 35*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (2*z^2)/a^2 - 17*a^2*z^2 + 40*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (9*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 3763] -> 
  3 + a^(-6) - 3/a^4 + 3*a^2 - 3*a^4 + 12*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 3764] -> -2/a^12 + 9/a^10 - 15/a^8 + 11/a^6 - 4/a^4 + 
   2/a^2 - (3*z^2)/a^12 + (18*z^2)/a^10 - (34*z^2)/a^8 + (29*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (33*z^4)/a^8 + 
   (30*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (17*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 3765] -> 
  1 - a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3766] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   a^(-2) - a^2 + a^4 + 2*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 3767] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3768] -> -5 - 2/a^6 + 5/a^4 - a^(-2) + 6*a^2 - 3*a^4 + 
   a^6 - 11*z^2 - z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 15*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 3769] -> -2 - a^(-8) + 2/a^6 + 3*a^2 - 
   2*a^4 + a^6 - 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6, 
 Knot[15, Alternating, 3770] -> -9 + 2/a^6 - 10/a^4 + 15/a^2 + 5*a^2 - 
   2*a^4 - 25*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (35*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 28*z^4 + z^4/a^6 - (13*z^4)/a^4 + (34*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3771] -> 
  -2 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 3772] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3773] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3774] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3775] -> -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (24*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3776] -> 
  -2/a^12 + 6/a^10 - 6/a^8 + 3/a^4 - z^2/a^14 + z^2/a^12 + (10*z^2)/a^10 - 
   (13*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (3*z^4)/a^10 - (13*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 3777] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 15*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3778] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 20*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (18*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 15*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3779] -> 13 + a^(-4) - 8/a^2 - 4*a^2 - a^4 + 
   25*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 
   16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3780] -> 
  4 + a^(-6) - 5/a^4 + 4/a^2 - 3*a^2 + 8*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3781] -> 
  2 - a^(-2) + a^2 - 2*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   7*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3782] -> 
  -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 9*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   z^2/a^4 + (19*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (4*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 3783] -> -4 - a^(-8) + 5/a^6 - 8/a^4 + 
   7/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3784] -> -2 + 4*a^2 + 5*a^4 - 10*a^6 + 4*a^8 - 5*z^2 + 
   12*a^2*z^2 + 9*a^4*z^2 - 25*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   3*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 3785] -> 
  2 - a^(-2) + 4*a^4 - 7*a^6 + 3*a^8 + 5*z^2 - (2*z^2)/a^2 + 4*a^4*z^2 - 
   12*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 - 3*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3786] -> 
  2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3787] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - 
   a^8 + 4*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3788] -> 1 - a^(-2) + 5*a^2 - 4*a^4 - 2*a^6 + 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 15*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 19*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 3789] -> -1 + a^(-10) - 4/a^8 + 7/a^6 - 8/a^4 + 
   6/a^2 - 6*z^2 + z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - (28*z^2)/a^4 + 
   (22*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (33*z^4)/a^4 + 
   (29*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3790] -> 
  -10 + a^(-6) - 5/a^4 + 9/a^2 + 10*a^2 - 4*a^4 - 27*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 31*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (25*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3791] -> 
  -9 - 2/a^4 + 7/a^2 + 10*a^2 - 8*a^4 + 3*a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 26*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3792] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 3*a^4 + 2*a^6 + 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3793] -> 1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 8*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (18*z^2)/a^2 - 7*a^2*z^2 + 14*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (19*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 3794] -> 
  -2 + a^(-6) - 4/a^4 + 4/a^2 + 5*a^2 - 3*a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3795] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 11*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 3796] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 7*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (10*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (8*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 3797] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 13*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 14*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3798] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3799] -> 
  6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 17*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (12*z^2)/a^2 - 10*a^2*z^2 + 23*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 3800] -> 
  -9 - a^(-6) + 2/a^4 + 3/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 3801] -> -a^2 + 2*a^4 - 2*a^6 + 10*a^8 - 11*a^10 + 
   3*a^12 - 3*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 + 22*a^8*z^2 - 20*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 12*a^6*z^4 + 22*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 3802] -> -12 + a^(-6) - 5/a^4 + 11/a^2 + 8*a^2 - 
   2*a^4 - 32*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (26*z^2)/a^2 + 19*a^2*z^2 - 
   4*a^4*z^2 - 35*z^4 + z^4/a^6 - (9*z^4)/a^4 + (26*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3803] -> 
  -6 + a^(-6) - 4/a^4 + 6/a^2 + 7*a^2 - 3*a^4 - 20*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (18*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3804] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 - z^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (30*z^2)/a^6 - (26*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (32*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3805] -> 1 + a^(-12) - 4/a^10 + 4/a^8 - a^(-4) + z^2 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4 + 
   (6*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 3806] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3807] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (26*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3808] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^12 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (19*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - 
   (6*z^6)/a^8 + (13*z^6)/a^6 - (15*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 3809] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3810] -> -4 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   3/a^2 + a^2 + a^4 - 8*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (3*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 3811] -> -1 + a^(-8) - 4/a^6 + 4/a^4 + 2*a^2 - a^4 - 
   3*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + 5*a^2*z^2 - 2*a^4*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 3812] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3813] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^2 - a^4 + 
   a^6 - 3*z^2 - z^2/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 3814] -> 2 - a^(-8) + 2/a^6 - a^(-2) - 
   2*a^2 + a^6 + 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 3815] -> -a^(-16) + 6/a^14 - 12/a^12 + 10/a^10 - 
   5/a^8 + 2/a^6 + a^(-4) + (5*z^2)/a^14 - (22*z^2)/a^12 + (29*z^2)/a^10 - 
   (15*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + (28*z^4)/a^10 - 
   (18*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3816] -> 
  -4 + 2/a^6 - 9/a^4 + 11/a^2 + 3*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (25*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (26*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3817] -> 
  3 + a^(-8) - 4/a^6 + 4/a^4 - 2/a^2 - a^4 + 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 3818] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (7*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3819] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3820] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (9*z^4)/a^6 + (6*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - z^6/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3821] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 3822] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + a^(-2) + z^2/a^12 - 
   (7*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3823] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3824] -> 
  -3 + 11*a^2 - 10*a^4 + 3*a^6 - 13*z^2 + (2*z^2)/a^2 + 28*a^2*z^2 - 
   20*a^4*z^2 + 4*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 - 
   a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3825] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3826] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 11*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (24*z^2)/a^4 + (30*z^2)/a^2 + a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (30*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3827] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 8*z^2 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 3828] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3829] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 3830] -> -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 3831] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3832] -> 
  1 - 2/a^4 + 5/a^2 - 7*a^2 + 4*a^4 - 4*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 - 
   20*a^2*z^2 + 10*a^4*z^2 - 10*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 
   24*a^2*z^4 + 10*a^4*z^4 - 10*z^6 - z^6/a^4 + (10*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 3833] -> -a^(-6) + 2/a^4 + a^(-2) - 4*a^2 + 3*a^4 - 
   5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 7*a^2*z^2 + 4*a^4*z^2 - 9*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 3834] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 15*z^2 - z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (20*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3835] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 9*z^2 + 
   z^2/a^4 - z^2/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   10*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3836] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 
   24*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3837] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 20*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3838] -> -5 + a^(-2) + 6*a^2 + 2*a^4 - 3*a^6 - 
   8*z^2 + z^2/a^4 - z^2/a^2 + 12*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 11*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3839] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 + 
   10*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3840] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (23*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3841] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3842] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 10*z^2 + 
   z^2/a^4 - z^2/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 20*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 3843] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - 
   (26*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 3844] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 
   5/a^2 + 5*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3845] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 
   2/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - 
   (21*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 3846] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   14*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3847] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 - z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (25*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3848] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 3849] -> 
  -2/a^4 + 4/a^2 - a^2 - a^4 + a^6 - 10*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3850] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3851] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - (6*z^2)/a^14 + (25*z^2)/a^12 - 
   (34*z^2)/a^10 + (12*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + 
   (35*z^4)/a^12 - (49*z^4)/a^10 + (7*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (37*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 3852] -> -2/a^10 + 6/a^8 - 7/a^6 + 3/a^4 + a^(-2) - 
   (7*z^2)/a^10 + (29*z^2)/a^8 - (31*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (37*z^4)/a^8 - (50*z^4)/a^6 + (8*z^4)/a^2 - z^6/a^10 + 
   (18*z^6)/a^8 - (38*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (14*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3853] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 4/a^6 - 
   (3*z^2)/a^14 + (11*z^2)/a^12 - (8*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (15*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3854] -> -2/a^10 + 5/a^8 - 3/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - (3*z^2)/a^10 + (13*z^2)/a^8 - (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (12*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3855] -> 3/a^12 - 10/a^10 + 7/a^8 + 2/a^6 - a^(-4) + 
   (7*z^2)/a^12 - (34*z^2)/a^10 + (36*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^4)/a^12 - (38*z^4)/a^10 + (55*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (39*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 3856] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - 
   a^(-4) + (3*z^2)/a^12 - (14*z^2)/a^10 + (7*z^2)/a^8 + (16*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (10*z^4)/a^8 + 
   (20*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3857] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 13*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3858] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (3*z^4)/a^6 - (22*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (13*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3859] -> -a^(-12) + a^(-10) + 4/a^8 - 
   8/a^6 + 4/a^4 + a^(-2) - (3*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 - 
   (22*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - 
   (3*z^4)/a^8 - (26*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - 
   (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 3860] -> 
  -a^(-12) + a^(-10) + 3/a^8 - 4/a^6 - a^(-4) + 3/a^2 + z^2 - z^2/a^12 + 
   (4*z^2)/a^10 + (5*z^2)/a^8 - (9*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (11*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 3861] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (7*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3862] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 3863] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (9*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3864] -> -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 3865] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 
   2*a^2 + 8*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 2*a^2*z^4 - 
   a^4*z^4 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 3866] -> -2/a^8 + 5/a^6 - a^(-4) - 3/a^2 + 2*a^2 - 
   6*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 13*z^4 - z^4/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3867] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 3868] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 
   8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3869] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 3870] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (7*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (8*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3871] -> 
  -2 + 2/a^8 - 9/a^6 + 9/a^4 + a^(-2) - 9*z^2 + (7*z^2)/a^8 - (34*z^2)/a^6 + 
   (39*z^2)/a^4 + (3*z^2)/a^2 - 12*z^4 + (5*z^4)/a^8 - (41*z^4)/a^6 + 
   (59*z^4)/a^4 + (9*z^4)/a^2 - 6*z^6 + z^6/a^8 - (19*z^6)/a^6 + 
   (43*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 3872] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (8*z^2)/a^6 + (21*z^2)/a^4 - z^2/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   z^4/a^6 + (24*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (14*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 3873] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 3874] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 - 
   3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (10*z^4)/a^4 + (22*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 3875] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + z^2/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + 
   (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 3876] -> -a^(-14) + 6/a^12 - 10/a^10 + 
   3/a^8 + 3/a^6 - (6*z^2)/a^14 + (26*z^2)/a^12 - (36*z^2)/a^10 + 
   (10*z^2)/a^8 + (10*z^2)/a^6 - (5*z^4)/a^14 + (35*z^4)/a^12 - 
   (50*z^4)/a^10 + (6*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - 
   (37*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 3877] -> -a^(-14) + 5/a^12 - 7/a^10 + a^(-8) + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (12*z^2)/a^12 - (12*z^2)/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - 
   (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3878] -> 3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + 
   (7*z^2)/a^12 - (32*z^2)/a^10 + (33*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^4)/a^12 - (37*z^4)/a^10 + (52*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (38*z^6)/a^8 + (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 3879] -> 2/a^12 - 6/a^10 + 4/a^8 + 
   a^(-4) + (3*z^2)/a^12 - (14*z^2)/a^10 + (10*z^2)/a^8 + (8*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (11*z^4)/a^8 + 
   (15*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3880] -> -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (11*z^2)/a^12 - (9*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - 
   (13*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 3881] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (8*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 3882] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 3883] -> -1 - 2/a^8 + 6/a^6 - 5/a^4 + 
   2/a^2 + a^4 - 4*z^2 - z^2/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 3884] -> 
  -2 + 2*a^2 + 4*a^4 - a^6 - 3*a^8 + a^10 - 5*z^2 + 5*a^2*z^2 + 10*a^4*z^2 + 
   5*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 10*a^2*z^4 + 4*a^4*z^4 + 
   15*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 3885] -> 4/a^12 - 13/a^10 + 9/a^8 + 3/a^6 - 2/a^4 + 
   (8*z^2)/a^12 - (39*z^2)/a^10 + (38*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^4)/a^12 - (40*z^4)/a^10 + (55*z^4)/a^8 + (17*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (39*z^6)/a^8 + (14*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 3886] -> 
  3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 2/a^4 + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (10*z^4)/a^8 + (23*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3887] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (5*z^2)/a^10 + (22*z^2)/a^8 - 
   (27*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - 
   (43*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (32*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3888] -> -2 - 2/a^8 + 5/a^6 - 2/a^4 + a^2 + a^4 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 3889] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + (4*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 3890] -> 2/a^12 - 6/a^10 + 2/a^8 + 3/a^6 + a^(-4) - 
   a^(-2) + (3*z^2)/a^12 - (15*z^2)/a^10 + (9*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (14*z^4)/a^8 + 
   (15*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + 
   (9*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3891] -> a^(-12) - 2/a^10 - 3/a^8 + 5/a^6 + a^(-4) - 
   a^(-2) - z^2 + z^2/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (11*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + 
   (10*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 3892] -> 4/a^12 - 13/a^10 + 9/a^8 + 3/a^6 - 
   2/a^4 + (8*z^2)/a^12 - (39*z^2)/a^10 + (38*z^2)/a^8 + (11*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^4)/a^12 - (40*z^4)/a^10 + (55*z^4)/a^8 + (17*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (39*z^6)/a^8 + (14*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 3893] -> 
  3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 2/a^4 + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (10*z^4)/a^8 + (23*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3894] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (9*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3895] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + (6*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3896] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3897] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3898] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^8 - a^(-6) + 
   a^(-4) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^10 - 
   z^4/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 3899] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + a^(-2) - z^2 + z^2/a^12 - 
   (6*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 3900] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 3901] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (12*z^2)/a^10 + z^2/a^8 + (18*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (17*z^4)/a^10 + (8*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3902] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3903] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 11*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (24*z^2)/a^4 + (30*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (30*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3904] -> 
  -4*a^4 + 11*a^6 - 3*a^8 - 5*a^10 + 2*a^12 - 12*a^4*z^2 + 27*a^6*z^2 + 
   12*a^8*z^2 - 23*a^10*z^2 + 5*a^12*z^2 - 13*a^4*z^4 + 27*a^6*z^4 + 
   35*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 
   32*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 3905] -> 
  -2*a^2 + 5*a^4 - 2*a^6 + 3*a^8 - 4*a^10 + a^12 - 5*a^2*z^2 + 10*a^4*z^2 + 
   2*a^6*z^2 + 10*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 4*a^2*z^4 + 
   8*a^4*z^4 + 8*a^6*z^4 + 13*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 7*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 3906] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - 
   a^4 - 28*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (27*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 28*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (33*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3907] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   30*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   35*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 3908] -> 
  -3 - a^(-6) + 3/a^4 - a^(-2) + 4*a^2 - a^4 - 8*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 3909] -> -1 + 2/a^10 - 7/a^8 + 8/a^6 - 5/a^4 + 4/a^2 - 
   4*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (21*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + (28*z^4)/a^6 - 
   (28*z^4)/a^4 + (18*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (17*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 3910] -> -1 + a^(-10) - 3/a^8 + 3/a^6 - 
   3/a^4 + 4/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3911] -> -7 - a^(-4) + 4/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   26*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 26*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 32*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 28*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3912] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 17*z^2 + 
   (3*z^2)/a^2 + 33*a^2*z^2 - 22*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 36*a^2*z^4 - 25*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 20*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3913] -> 
  2/a^6 - 7/a^4 + 7/a^2 - a^2 + 5*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (15*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (16*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 3914] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (19*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3915] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 + 6*a^4*z^4 - 
   4*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 3916] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 3917] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 23*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3918] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3919] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 16*z^2 - 
   (9*z^2)/a^6 + (36*z^2)/a^4 - (44*z^2)/a^2 + 25*z^4 - (12*z^4)/a^6 + 
   (58*z^4)/a^4 - (78*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - 
   (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 3920] -> 
  2 - 2/a^6 + 7/a^4 - 7/a^2 + a^2 - 2*z^2 - (5*z^2)/a^6 + (19*z^2)/a^4 - 
   (18*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - 
   (19*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 3921] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - (7*z^2)/a^10 + (32*z^2)/a^8 - 
   (45*z^2)/a^6 + (21*z^2)/a^4 - (11*z^4)/a^10 + (55*z^4)/a^8 - 
   (80*z^4)/a^6 + (27*z^4)/a^4 - (6*z^6)/a^10 + (42*z^6)/a^8 - (70*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 3922] -> -a^(-10) + 5/a^8 - 8/a^6 + 4/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (19*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (20*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3923] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 3924] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 23*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3925] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - 
   (3*z^2)/a^10 + (12*z^2)/a^8 - (10*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (13*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (9*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3926] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3927] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 3928] -> 3 - a^(-4) - a^4 + 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3929] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 
   19*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 
   23*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3930] -> 
  -2/a^4 + 4/a^2 - a^2 - a^4 + a^6 - 8*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 + 
   7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 3931] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 3932] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (17*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   z^4/a^10 - (22*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3933] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 6*a^2*z^2 - 
   5*a^4*z^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3934] -> 
  3 - a^(-4) - a^4 + 5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 3935] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (20*z^2)/a^4 + (26*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (26*z^4)/a^4 + (32*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3936] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (27*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3937] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (8*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3938] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - z^2/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (20*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3939] -> 
  -5 - 3/a^4 + 8/a^2 + a^4 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3940] -> 1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3941] -> 
  -a^(-12) + 2/a^10 + 2/a^8 - 6/a^6 + 2/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 - (3*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^2 - z^4/a^12 + 
   (12*z^4)/a^10 - (15*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 3942] -> -a^(-8) + a^(-6) + 4/a^4 - 5/a^2 + 2*a^2 - 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3943] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (10*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 3944] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3945] -> 
  -2 + 2*a^2 + 4*a^4 - a^6 - 3*a^8 + a^10 - 3*z^2 - z^2/a^2 + 7*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 3946] -> 
  -1 - a^(-4) + a^(-2) + 6*a^2 - 5*a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 3947] -> 2/a^12 - 5/a^10 - a^(-8) + 
   7/a^6 - 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 - z^2/a^8 + (23*z^2)/a^6 - 
   (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + 
   (28*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (16*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3948] -> -6 - 2/a^4 + 6/a^2 + 3*a^2 + a^4 - a^6 - 
   14*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 3949] -> 
  1 - a^(-12) + 2/a^10 + a^(-8) - 3/a^6 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (6*z^2)/a^6 - (2*z^2)/a^4 + z^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 3950] -> 
  -2 - a^(-8) + a^(-6) + 3/a^4 - 2/a^2 + a^2 + a^4 - 4*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 3951] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 + z^2/a^10 - 
   (9*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (2*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 3952] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (3*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 + z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 3953] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3954] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3955] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3956] -> 
  1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + a^(-4) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 3957] -> -1 - a^(-8) + 2/a^6 + a^4 - 4*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 3958] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3959] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 3960] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 5*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 3961] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   24*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 28*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 3962] -> 
  -8 - a^(-6) + 2/a^4 + 3/a^2 + 6*a^2 - a^4 - 17*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 15*z^4 - z^4/a^6 + (6*z^4)/a^4 + 
   2*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 3963] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 3964] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 3965] -> 
  -a^2 + a^4 + 3*a^6 + a^8 - 4*a^10 + a^12 - 3*a^2*z^2 + a^4*z^2 + 
   13*a^6*z^2 + 8*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   17*a^6*z^4 + 15*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   11*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 3966] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + 
   (5*z^2)/a^12 - (17*z^2)/a^10 + (9*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (14*z^4)/a^8 + (16*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (11*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3967] -> -a^2 + 8*a^6 - 7*a^8 + a^10 - 3*a^2*z^2 + 
   21*a^6*z^2 - 7*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   22*a^6*z^4 + 2*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 3968] -> -8 - a^(-6) + 2/a^4 + 3/a^2 + 6*a^2 - a^4 - 
   14*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 3969] -> a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + 
   (4*z^2)/a^12 - (11*z^2)/a^10 - (4*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (17*z^4)/a^10 + (6*z^4)/a^8 + (26*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 3970] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 
   2*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (29*z^2)/a^6 - (22*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (30*z^4)/a^6 - 
   (30*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 3971] -> -12 - 2/a^4 + 8/a^2 + 11*a^2 - 
   5*a^4 + a^6 - 30*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 28*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 31*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 3972] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 3973] -> -1 + a^(-10) - 4/a^8 + 7/a^6 - 8/a^4 + 
   6/a^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 3974] -> 
  a^(-12) - 2/a^10 - a^(-8) + a^(-6) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (5*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 3975] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 3976] -> 
  -15 + a^(-6) - 5/a^4 + 11/a^2 + 14*a^2 - 5*a^4 - 38*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (29*z^2)/a^2 + 29*a^2*z^2 - 7*a^4*z^2 - 38*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3977] -> 
  -a^(-12) + 6/a^10 - 14/a^8 + 16/a^6 - 10/a^4 + 4/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (28*z^2)/a^8 + (41*z^2)/a^6 - (29*z^2)/a^4 + (9*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (40*z^4)/a^6 - (33*z^4)/a^4 + (8*z^4)/a^2 - 
   (6*z^6)/a^8 + (19*z^6)/a^6 - (19*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 3978] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 7*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (14*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (5*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 3979] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (20*z^2)/a^4 + 
   (13*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (26*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3980] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 6*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 3981] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 8*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   7*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 3982] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   15*z^2 - z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 
   16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3983] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3984] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 
   2/a^2 - (4*z^2)/a^10 + (15*z^2)/a^8 - (11*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - (13*z^4)/a^6 - (19*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 3985] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 3986] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   18*z^2 - z^2/a^8 + (6*z^2)/a^6 - (18*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 
   17*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 3987] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - (3*z^2)/a^10 + (12*z^2)/a^8 - 
   (10*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   (13*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3988] -> a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (12*z^4)/a^8 - (7*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 3989] -> 10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 16*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 3990] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 3991] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 3992] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (21*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (39*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (31*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 3993] -> -1 - a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 3994] -> 9 - a^(-4) - a^(-2) - 8*a^2 + a^4 + a^6 + 
   6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 10*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   8*z^4 - z^4/a^4 + (8*z^4)/a^2 - 8*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 3995] -> 
  -2 + a^2 + 8*a^4 - 7*a^6 + a^8 - 3*z^2 - z^2/a^2 + 5*a^2*z^2 + 15*a^4*z^2 - 
   10*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 2*a^2*z^6 - a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 3996] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - z^2 - (5*z^2)/a^6 + (20*z^2)/a^4 - 
   (17*z^2)/a^2 + 4*a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + (27*z^4)/a^4 - 
   (34*z^4)/a^2 + 6*a^2*z^4 - 5*z^6 - z^6/a^6 + (15*z^6)/a^4 - (29*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 3997] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 + 
   z^2/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (4*z^4)/a^4 - (14*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 3998] -> 4/a^12 - 13/a^10 + 11/a^8 - a^(-6) + 
   (8*z^2)/a^12 - (39*z^2)/a^10 + (45*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^4)/a^12 - (40*z^4)/a^10 + (62*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (41*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 3999] -> -1 + 3/a^8 - 12/a^6 + 13/a^4 - 
   2/a^2 - 3*z^2 + (6*z^2)/a^8 - (30*z^2)/a^6 + (39*z^2)/a^4 - (7*z^2)/a^2 - 
   4*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (49*z^4)/a^4 - (6*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (33*z^6)/a^4 + z^6/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4000] -> 3/a^12 - 10/a^10 + 9/a^8 - 2/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (17*z^2)/a^10 + (17*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + (12*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4001] -> -a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (19*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4002] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (21*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4003] -> 1 + a^(-6) - 5/a^4 + 5/a^2 - a^4 + 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 - (3*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 4004] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4005] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 6*a^2*z^2 - 
   5*a^4*z^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4006] -> 
  3 - a^(-4) - a^4 + 5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 4007] -> 
  -a^(-12) + 2/a^10 + 2/a^8 - 6/a^6 + 2/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 - (3*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^2 - z^4/a^12 + 
   (12*z^4)/a^10 - (15*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (13*z^6)/a^8 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 4008] -> 1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4009] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - 
   (14*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + 
   (2*z^4)/a^10 - (22*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 4010] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 
   3/a^4 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - 
   (9*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (19*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4011] -> 
  1 - a^(-12) + 2/a^10 + a^(-8) - 3/a^6 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (6*z^2)/a^6 - (2*z^2)/a^4 + z^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 4012] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 4013] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 - z^2/a^6 + 
   z^2/a^4 + (8*z^2)/a^2 + a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 4014] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4015] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (10*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4016] -> -a^(-12) + a^(-10) + 6/a^8 - 11/a^6 + 4/a^4 + 
   2/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + z^2/a^8 - (19*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (14*z^4)/a^8 - 
   (10*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + 
   (2*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 4017] -> 
  1 - a^(-12) + 2/a^10 + a^(-6) - 5/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (2*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 - z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4018] -> -2 - a^(-8) + 2/a^6 + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4019] -> 
  4/a^12 - 14/a^10 + 12/a^8 - a^(-4) + (8*z^2)/a^12 - (41*z^2)/a^10 + 
   (48*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^4)/a^12 - (41*z^4)/a^10 + 
   (65*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + 
   (42*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4020] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 5*z^2 + 
   (5*z^2)/a^8 - (20*z^2)/a^6 + (20*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (36*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4021] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (14*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4022] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (19*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (32*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4023] -> -6 - 2/a^4 + 6/a^2 + 3*a^2 + a^4 - a^6 - 
   14*z^2 - z^2/a^6 + (12*z^2)/a^2 + 5*a^4*z^2 - 14*z^4 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 7*z^6 - (2*z^6)/a^2 - 
   5*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 4024] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (7*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (13*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4025] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 4026] -> 3 - a^(-4) + a^(-2) - 4*a^2 + 
   3*a^4 - a^6 + 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 
   2*z^4 - z^4/a^4 + (8*z^4)/a^2 - 16*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   5*z^6 + (3*z^6)/a^2 - 11*a^2*z^6 - a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 4027] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4028] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (17*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (15*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4029] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + a^(-8) + 2/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (12*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (9*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4030] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - (16*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4031] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^10 - (15*z^2)/a^8 + (20*z^2)/a^6 - (13*z^2)/a^4 + 2*z^4 - 
   (9*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4032] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4033] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 
   a^(-4) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4034] -> 
  -5 - 3/a^4 + 8/a^2 + a^4 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 7*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 4035] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4036] -> 3 - a^(-4) - a^4 + 8*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 2*a^4*z^2 + 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 4037] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 4038] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 10*a^2*z^2 - 2*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   10*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4039] -> -1 + 2*a^2 - a^4 + 5*a^6 - 5*a^8 + a^10 + 
   z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 4040] -> 1 - a^(-2) + 7*a^2 - 12*a^4 + 8*a^6 - 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 27*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 9*a^2*z^4 - 25*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 12*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4041] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4042] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 + z^2/a^10 - (14*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + 
   (19*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4043] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 - 
   z^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + (34*z^2)/a^6 - (28*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*z^4 + z^4/a^10 - (12*z^4)/a^8 + (32*z^4)/a^6 - 
   (33*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (19*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 4044] -> -3*a^4 + 7*a^6 + 2*a^8 - 7*a^10 + 
   2*a^12 - 2*a^2*z^2 - 4*a^4*z^2 + 17*a^6*z^2 + 14*a^8*z^2 - 18*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 19*a^6*z^4 + 21*a^8*z^4 - 15*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 13*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 4045] -> 
  -a^2 + a^4 + 3*a^6 + a^8 - 4*a^10 + a^12 - z^2 - a^2*z^2 + 3*a^4*z^2 + 
   10*a^6*z^2 + 4*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 + 4*a^4*z^4 + 
   11*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 4046] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + 
   17*a^2*z^2 - 11*a^4*z^2 + 2*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 15*a^4*z^4 - 
   6*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 9*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 4047] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 
   3*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 - a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 4048] -> -5 + 2/a^6 - 8/a^4 + 11/a^2 + 
   a^2 - 14*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (27*z^2)/a^2 + 
   3*a^2*z^2 - 15*z^4 - z^4/a^8 + (8*z^4)/a^6 - (23*z^4)/a^4 + (27*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4049] -> -1 + a^(-10) - 4/a^8 + 7/a^6 - 8/a^4 + 
   6/a^2 - 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - 
   (23*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (24*z^4)/a^6 - (25*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4050] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (21*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4051] -> 1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 
   2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4052] -> -1 + a^(-10) - 4/a^8 + 7/a^6 - 8/a^4 + 
   6/a^2 - 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - 
   (23*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (24*z^4)/a^6 - (25*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4053] -> 
  -11 + a^(-6) - 6/a^4 + 12/a^2 + 7*a^2 - 2*a^4 - 27*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (31*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4054] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 4055] -> 
  2/a^10 - 6/a^8 + 3/a^6 + 3/a^4 - a^(-2) + z^2/a^12 - (9*z^2)/a^8 + 
   (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 + (9*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4056] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4057] -> 
  -8 + 2/a^2 + 9*a^2 + a^4 - 3*a^6 - 20*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 + 
   9*a^4*z^2 - 7*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 + 14*a^4*z^4 - 
   7*a^6*z^4 - 10*z^6 + z^6/a^2 + 12*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4058] -> 6 + a^(-4) - 4/a^2 - 6*a^2 + 8*a^4 - 4*a^6 + 
   10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 
   7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 4059] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 
   4/a^2 - 6*z^2 + (4*z^2)/a^8 - (13*z^2)/a^6 + (6*z^2)/a^4 + (12*z^2)/a^2 - 
   7*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4060] -> -9 + a^(-6) - 4/a^4 + 8/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4061] -> 
  -4 - a^(-8) + 5/a^6 - 10/a^4 + 10/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4062] -> 
  -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4063] -> 
  -7 + a^(-6) - 4/a^4 + 7/a^2 + 6*a^2 - 2*a^4 - 23*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4064] -> 
  -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4065] -> 
  -5 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 + 3*a^2 - 15*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4066] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4067] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   2*z^2 - (5*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (14*z^4)/a^6 - (23*z^4)/a^4 + z^4/a^2 + z^6 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4068] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4069] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (6*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4070] -> -2/a^10 + 9/a^8 - 13/a^6 + 6/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (18*z^2)/a^8 - (23*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (19*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4071] -> -1 + 3*a^2 - a^6 - 8*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 
   12*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4072] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 6*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4073] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4074] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 3*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4075] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   13*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4076] -> 
  -3 + 7*a^2 - 4*a^4 + 3*a^6 - 2*a^8 - z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4077] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + 4*z^2 - z^2/a^4 + a^2*z^2 + 2*a^6*z^2 + 
   3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 4078] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 3*z^2 - z^2/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 4079] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 
   3*z^2 - z^2/a^2 + 9*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + z^4 - z^4/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4080] -> -4 - 2/a^4 + 5/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   12*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4081] -> -1 - 3*a^2 + 14*a^4 - 11*a^6 + 2*a^8 - 
   4*z^2 - 2*a^2*z^2 + 31*a^4*z^2 - 22*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 
   7*a^2*z^4 + 23*a^4*z^4 - 19*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 + 
   4*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 4082] -> 
  -3 + 5*a^2 + 3*a^4 - 5*a^6 + a^8 - 4*z^2 - z^2/a^2 + 12*a^2*z^2 + 
   5*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 + a^4*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4083] -> 
  -8 - a^(-8) + 3/a^6 - 6/a^4 + 10/a^2 + 3*a^2 - 24*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (29*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (33*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 4084] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 
   11/a^2 - 8*z^2 + z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (30*z^2)/a^4 + 
   (28*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (33*z^4)/a^4 + 
   (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4085] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (9*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - 
   (29*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4086] -> 1 - 3/a^6 + 8/a^4 - 6/a^2 + a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (23*z^2)/a^4 - (24*z^2)/a^2 + 3*a^2*z^2 + z^4 - 
   (4*z^4)/a^6 + (27*z^4)/a^4 - (37*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (29*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 4087] -> 5/a^12 - 17/a^10 + 16/a^8 - 3/a^6 + 
   (8*z^2)/a^12 - (42*z^2)/a^10 + (52*z^2)/a^8 - (9*z^2)/a^6 - z^2/a^4 + 
   (5*z^4)/a^12 - (40*z^4)/a^10 + (65*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (41*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 4088] -> 3/a^12 - 9/a^10 + 5/a^8 + 3/a^6 - 
   a^(-4) + (3*z^2)/a^12 - (17*z^2)/a^10 + (14*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^2)/a^4 + z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + (15*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (10*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4089] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (7*z^2)/a^10 - (21*z^2)/a^8 + (16*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - (25*z^4)/a^8 + 
   (12*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4090] -> a^(-12) - a^(-10) - 7/a^8 + 11/a^6 - 3/a^4 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 - (8*z^2)/a^8 + (29*z^2)/a^6 - (9*z^2)/a^4 + 
   z^4/a^12 - (8*z^4)/a^10 + (30*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4091] -> 
  -2/a^8 + 5/a^6 - 3/a^4 + a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - 
   (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 4092] -> 
  -1 + 2/a^8 - 8/a^6 + 8/a^4 - 4*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + 
   (27*z^2)/a^4 - z^2/a^2 - 6*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (39*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 4093] -> 
  -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 10*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 - (3*z^4)/a^6 + z^4/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   6*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 4094] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4095] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 7/a^6 - 10/a^4 + 6/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (24*z^2)/a^6 - (28*z^2)/a^4 + (11*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (29*z^4)/a^6 - (33*z^4)/a^4 + (8*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (19*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 4096] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4097] -> 1 - 2/a^8 + 5/a^6 - 2/a^4 - 2/a^2 + 
   a^2 - z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4098] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 - (28*z^4)/a^4 + (7*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (17*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 4099] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 
   7/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (22*z^2)/a^6 - (17*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (20*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4100] -> -3 + 6*a^2 - a^4 + a^6 - 3*a^8 + a^10 - 
   4*z^2 - z^2/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 
   3*a^4*z^8, Knot[15, Alternating, 4101] -> -2 + a^(-10) - 2/a^8 - 2/a^6 + 
   3/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4102] -> 
  3 - a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 3/a^4 - 2/a^2 + 4*z^2 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (7*z^2)/a^2 + 
   2*z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4103] -> 1 + a^(-8) - 4/a^6 + 3/a^4 + a^(-2) - a^2 + 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - 2*a^2*z^2 + 
   4*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4104] -> 5 - a^(-6) + 3/a^4 - 5/a^2 - a^4 + 8*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 4105] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + 3/a^4 - 5/a^2 + a^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + z^6/a^4 + z^6/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 4106] -> -2/a^10 + 4/a^8 - a^(-6) - 3/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + z^2/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 + (3*z^4)/a^10 + (3*z^4)/a^8 - (11*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 4107] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + 
   a^(-4) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - z^4/a^8 - (8*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4108] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 12*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 6*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4109] -> -11 - 3/a^4 + 10/a^2 + 5*a^2 + a^4 - a^6 - 
   22*z^2 + z^2/a^6 - (7*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 15*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 4110] -> a^(-14) - 4/a^12 + 6/a^10 - 
   5/a^8 + a^(-6) + 2/a^4 - z^2/a^14 - z^2/a^12 + (10*z^2)/a^10 - 
   (12*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + 
   (3*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4111] -> 
  1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 3*z^2 - z^2/a^10 - z^2/a^8 + 
   (15*z^2)/a^6 - (19*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 - (21*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 4112] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 
   14*z^2 + (3*z^2)/a^4 - (13*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 34*z^4 + 
   (4*z^4)/a^4 - (26*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 4113] -> 
  5 - a^(-6) + 3/a^4 - 5/a^2 - a^4 + 14*z^2 + z^2/a^6 - (9*z^2)/a^2 - 
   3*a^4*z^2 + 17*z^4 + z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 4114] -> 
  -2 + 5*a^2 - a^4 - a^6 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 4115] -> 2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 - 
   z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 
   7*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4116] -> 
  1 - a^(-2) + 6*a^2 - 11*a^4 + 9*a^6 - 3*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   12*a^2*z^2 - 24*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4117] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - 
   z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*z^6 - a^2*z^6 - 
   5*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4118] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4119] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4120] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4121] -> 
  5 + 2/a^6 - 6/a^4 + 3/a^2 - 3*a^2 + 10*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (15*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 4122] -> 
  -2 + a^(-6) - 3/a^4 + 3/a^2 + 4*a^2 - 2*a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4123] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4124] -> 
  -8 - 2/a^4 + 7/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 23*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 4125] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 4126] -> 
  -3/a^10 + 13/a^8 - 19/a^6 + 10/a^4 - (10*z^2)/a^10 + (44*z^2)/a^8 - 
   (60*z^2)/a^6 + (25*z^2)/a^4 - (12*z^4)/a^10 + (61*z^4)/a^8 - 
   (87*z^4)/a^6 + (28*z^4)/a^4 - (6*z^6)/a^10 + (43*z^6)/a^8 - (71*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 4127] -> -a^(-10) + 2/a^8 + 3/a^6 - 9/a^4 + 6/a^2 - 
   (4*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - (23*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^10 + (17*z^4)/a^8 - (7*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4128] -> -2/a^10 + 8/a^8 - 9/a^6 + a^(-4) + 3/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (20*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (20*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4129] -> 2 - a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + 
   3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - (8*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4130] -> 1 - a^(-4) + 2/a^2 - 3*a^4 + 2*a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4131] -> 
  -9 - 2/a^4 + 7/a^2 + 10*a^2 - 8*a^4 + 3*a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 26*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4132] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 12/a^6 - 5/a^4 + 2/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (33*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (35*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 - 
   (6*z^6)/a^8 + (18*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 4133] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 22*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 + 8*a^4*z^4 - 
   6*a^6*z^4 - 10*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4134] -> 2 - a^(-2) + a^2 - 2*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 7*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4135] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 27*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 28*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4136] -> 
  -4 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (22*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4137] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4138] -> 
  3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + (10*z^2)/a^8 - (46*z^2)/a^6 + 
   (63*z^2)/a^4 - (22*z^2)/a^2 + (12*z^4)/a^8 - (64*z^4)/a^6 + (95*z^4)/a^4 - 
   (30*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (76*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 4139] -> 
  -1 + 2/a^8 - 8/a^6 + 8/a^4 - 6*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (21*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (22*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 4140] -> 
  -1 + a^(-10) - 4/a^8 + 7/a^6 - 8/a^4 + 6/a^2 - 6*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (19*z^2)/a^6 - (28*z^2)/a^4 + (22*z^2)/a^2 - 8*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (33*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4141] -> 
  -4 - a^(-4) + 3/a^2 + 8*a^2 - 8*a^4 + 3*a^6 - 18*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 26*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 32*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 4142] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 
   8/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + 
   (23*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4143] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4144] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - 4*a^4 + 
   2*a^6 - 11*z^2 - z^2/a^6 + (4*z^2)/a^4 + 11*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4145] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4146] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 7*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (10*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (8*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 4147] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 13*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 14*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4148] -> 1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 8*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (18*z^2)/a^2 - 7*a^2*z^2 + 14*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (19*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4149] -> 
  1 - a^(-2) + 5*a^2 - 5*a^4 + a^8 + 3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   10*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   10*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4150] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 4151] -> 3 + a^(-4) - 4/a^2 + 2*a^2 + a^4 - 2*a^6 + 
   4*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 
   3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 4152] -> 8 + 2/a^6 - 7/a^4 + 3/a^2 - 
   5*a^2 + 29*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 - 15*a^2*z^2 + 
   37*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4153] -> 
  7 + a^(-6) - 3/a^4 - a^(-2) - 2*a^2 - a^4 + 15*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 14*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4154] -> -7 - a^(-6) + a^(-4) + 4/a^2 + 6*a^2 - 
   3*a^4 + a^6 - 15*z^2 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 4155] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - 
   a^4 - 17*z^2 + z^2/a^8 - (3*z^2)/a^6 + (12*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 8*z^6 + (3*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 4156] -> -a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 4/a^4 + 
   2/a^2 - (3*z^2)/a^12 + (15*z^2)/a^10 - (27*z^2)/a^8 + (25*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (30*z^4)/a^8 + 
   (27*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (16*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 4157] -> 
  -3 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 + a^2 - 11*z^2 - (3*z^2)/a^8 + 
   (18*z^2)/a^6 - (30*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (33*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4158] -> 
  -1 + 2/a^10 - 8/a^8 + 10/a^6 - 6/a^4 + 4/a^2 - 3*z^2 + (3*z^2)/a^10 - 
   (18*z^2)/a^8 + (31*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - (27*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4159] -> 1 + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 - 
   z^2/a^8 - z^2/a^6 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 4160] -> 
  -2 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 5/a^2 + a^2 - 6*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 4161] -> 1 - a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (2*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 4162] -> 
  -4 - a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 7/a^2 + 2*a^2 - 12*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - (3*z^6)/a^6 + (9*z^6)/a^2 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 4163] -> -7 + a^(-6) - 6/a^4 + 10/a^2 + 5*a^2 - 
   2*a^4 - 21*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (28*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 25*z^4 + z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4164] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 5*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 4165] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4166] -> 4 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^4 - 4/a^2 - 
   2*a^2 + a^4 + 7*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[15, Alternating, 4167] -> -1 - a^(-2) + 10*a^2 - 13*a^4 + 10*a^6 - 
   5*a^8 + a^10 + z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 29*a^4*z^2 + 24*a^6*z^2 - 
   9*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 27*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 4168] -> 
  -2 + 3/a^10 - 12/a^8 + 16/a^6 - 11/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (21*z^2)/a^8 + (39*z^2)/a^6 - (30*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (36*z^4)/a^6 - (32*z^4)/a^4 + (20*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4169] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   a^(-2) - a^2 + a^4 + z^2 + (3*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 4170] -> 3 + a^(-10) - 3/a^8 + 5/a^4 - 4/a^2 - a^2 + 
   7*z^2 + z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 4171] -> 
  -2 + 3/a^10 - 12/a^8 + 16/a^6 - 11/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (21*z^2)/a^8 + (39*z^2)/a^6 - (30*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (36*z^4)/a^6 - (32*z^4)/a^4 + (20*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4172] -> -a^(-18) + 4/a^16 - a^(-14) - 10/a^12 + 
   8/a^10 + a^(-8) - z^2/a^18 + (9*z^2)/a^16 - (14*z^2)/a^14 - 
   (16*z^2)/a^12 + (27*z^2)/a^10 + (4*z^2)/a^8 + (4*z^4)/a^16 - 
   (18*z^4)/a^14 - z^4/a^12 + (34*z^4)/a^10 + (6*z^4)/a^8 - (6*z^6)/a^14 + 
   (8*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 4173] -> 1 + 2/a^6 - 8/a^4 + 7/a^2 + a^2 - 
   2*a^4 + 2*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 - z^4 + z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4174] -> 
  8 + a^(-8) - 4/a^6 + 5/a^4 - 6/a^2 - 2*a^2 - a^4 + 13*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 4175] -> -a^(-16) + 6/a^14 - 13/a^12 + 12/a^10 - 
   6/a^8 + 2/a^6 + a^(-4) + (5*z^2)/a^14 - (23*z^2)/a^12 + (32*z^2)/a^10 - 
   (16*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + (29*z^4)/a^10 - 
   (18*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4176] -> 
  -8 - 2/a^8 + 7/a^6 - 11/a^4 + 12/a^2 + 3*a^2 - 26*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (25*z^2)/a^4 + (32*z^2)/a^2 + 8*a^2*z^2 - 32*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (34*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 4177] -> -5 - a^(-10) + 3/a^8 - 4/a^6 + 
   3/a^4 + 2/a^2 + 3*a^2 - 11*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 4178] -> -a^(-16) + 6/a^14 - 12/a^12 + 9/a^10 - 
   4/a^8 + 3/a^6 + (5*z^2)/a^14 - (22*z^2)/a^12 + (26*z^2)/a^10 - 
   (11*z^2)/a^8 + (9*z^2)/a^6 - (10*z^4)/a^12 + (26*z^4)/a^10 - 
   (13*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 + (9*z^6)/a^10 - (9*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4179] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (7*z^2)/a^10 - (21*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 + (2*z^4)/a^10 - (25*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4180] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 + (4*z^4)/a^6 - (28*z^4)/a^4 + (7*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (17*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 4181] -> a^(-12) - a^(-10) - 7/a^8 + 
   11/a^6 - 3/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (29*z^2)/a^6 - (9*z^2)/a^4 + z^4/a^12 - (8*z^4)/a^10 + (30*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4182] -> -2/a^10 + 4/a^8 - a^(-6) - 3/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + z^2/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 + (3*z^4)/a^10 + (3*z^4)/a^8 - (11*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 4183] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - (14*z^2)/a^8 + (23*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (21*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4184] -> -a^(-18) + 6/a^16 - 8/a^14 - 3/a^12 + 
   7/a^10 - z^2/a^18 + (12*z^2)/a^16 - (30*z^2)/a^14 + (3*z^2)/a^12 + 
   (26*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (30*z^4)/a^14 + (19*z^4)/a^12 + 
   (36*z^4)/a^10 + (3*z^4)/a^8 - (9*z^6)/a^14 + (18*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 4185] -> -5 + 2/a^8 - 6/a^6 + 10/a^2 - 12*z^2 + 
   (5*z^2)/a^8 - (18*z^2)/a^6 + (7*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (13*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4186] -> -4*a^4 + 10*a^6 + a^8 - 10*a^10 + 4*a^12 - 
   12*a^4*z^2 + 25*a^6*z^2 + 20*a^8*z^2 - 33*a^10*z^2 + 8*a^12*z^2 - 
   13*a^4*z^4 + 26*a^6*z^4 + 40*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 16*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 4187] -> -2*a^2 + 5*a^4 - 3*a^6 + 7*a^8 - 9*a^10 + 
   3*a^12 - 5*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 + 14*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 8*a^6*z^4 + 14*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 7*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 4188] -> -13 + 2/a^6 - 9/a^4 + 15/a^2 + 9*a^2 - 
   3*a^4 - 34*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (34*z^2)/a^2 + 23*a^2*z^2 - 
   6*a^4*z^2 - 35*z^4 + z^4/a^6 - (12*z^4)/a^4 + (32*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4189] -> 
  -5 + a^(-8) - 2/a^6 - 5/a^4 + 12/a^2 - 12*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (29*z^2)/a^2 - 11*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 - 
   z^4/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4190] -> -1 + 10*a^4 - 12*a^6 + 4*a^8 - 
   4*z^2 + 6*a^2*z^2 + 19*a^4*z^2 - 30*a^6*z^2 + 11*a^8*z^2 - 4*z^4 + 
   12*a^2*z^4 + 10*a^4*z^4 - 31*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   2*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 4191] -> 
  -2 + 5*a^2 + 2*a^4 - 7*a^6 + 3*a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - a^4*z^2 - 
   11*a^6*z^2 + 5*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4192] -> 
  -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 8*z^2 + z^2/a^2 + 23*a^2*z^2 - 
   24*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 
   26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 4193] -> 3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + 
   (10*z^2)/a^8 - (46*z^2)/a^6 + (63*z^2)/a^4 - (22*z^2)/a^2 + (12*z^4)/a^8 - 
   (64*z^4)/a^6 + (95*z^4)/a^4 - (30*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (76*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 4194] -> -1 + 2/a^8 - 8/a^6 + 8/a^4 - 6*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (21*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (22*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4195] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 
   16*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (23*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (26*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4196] -> -4 - a^(-4) + 3/a^2 + 8*a^2 - 8*a^4 + 3*a^6 - 
   18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 26*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 32*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4197] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4198] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 27*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (20*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 28*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4199] -> -10 - a^(-8) + 4/a^6 - 8/a^4 + 
   12/a^2 + 4*a^2 - 24*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (22*z^2)/a^4 + 
   (30*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + 
   (33*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4200] -> 4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + 
   (12*z^2)/a^8 - (56*z^2)/a^6 + (77*z^2)/a^4 - (27*z^2)/a^2 + (13*z^4)/a^8 - 
   (72*z^4)/a^6 + (109*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + 
   (82*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 4201] -> -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 11*z^2 + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (11*z^2)/a^4 + (19*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (14*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4202] -> -4 + a^(-8) - 2/a^6 - 4/a^4 + 10/a^2 - 
   11*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (25*z^2)/a^2 - 11*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (2*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4203] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (21*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (23*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4204] -> -4 + a^(-6) - 6/a^4 + 9/a^2 + 2*a^2 - a^4 - 
   16*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4205] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 2/a^6 + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (25*z^2)/a^10 - (20*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (28*z^4)/a^8 + (15*z^4)/a^6 - 
   z^4/a^4 + (6*z^6)/a^10 - (18*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 4206] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 - (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^8 - 
   z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4207] -> -a^(-14) + a^(-12) + 6/a^10 - 13/a^8 + 
   7/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 + (9*z^2)/a^10 - 
   (29*z^2)/a^8 + (15*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + 
   (2*z^4)/a^10 - (30*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 4208] -> 2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (3*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4209] -> 4 - 2/a^2 - a^4 + 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4210] -> -2 - a^(-6) + 2/a^4 + 4*a^2 - 3*a^4 + 
   a^6 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4211] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 + (4*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - (22*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4212] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (17*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   z^4/a^10 - (22*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4213] -> 
  -a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 4214] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 
   7/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + 
   (21*z^2)/a^6 - (12*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (21*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4215] -> -1 + 2/a^10 - 7/a^8 + 6/a^6 - a^(-4) + 
   2/a^2 - 3*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (21*z^4)/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 4216] -> -3 - a^(-6) + a^(-4) + 3/a^2 + 
   a^2 - a^4 + a^6 - 12*z^2 - z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 4217] -> 
  -2 + a^(-6) - 5/a^4 + 6/a^2 + 3*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4218] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4219] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 4220] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (27*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4221] -> 
  -2 - 2/a^8 + 6/a^6 - 5/a^4 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4222] -> 
  -1 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 + a^4 + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^2, Knot[15, Alternating, 4223] -> 1 - a^(-2) + a^2 + a^4 + a^6 - 
   3*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 4224] -> -2 + 2/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) + 3/a^2 - 5*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (16*z^2)/a^6 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (23*z^4)/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4225] -> 
  -4 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 5/a^2 + a^2 + a^4 - 6*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - (6*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^2, Knot[15, Alternating, 4226] -> 
  1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + a^(-2) - a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 4227] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 8/a^10 - a^(-8) + a^(-4) + (5*z^2)/a^14 - 
   (22*z^2)/a^12 + (26*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (10*z^4)/a^12 + (27*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (9*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4228] -> 2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 - z^2/a^8 + (23*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + (28*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4229] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 
   3*z^2 - z^2/a^10 - z^2/a^8 + (15*z^2)/a^6 - (19*z^2)/a^4 + (3*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - (21*z^4)/a^4 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4230] -> 
  -4 + a^(-6) - 6/a^4 + 9/a^2 + 2*a^2 - a^4 - 2*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4231] -> -3 - a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 
   7/a^2 + a^4 - 5*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2, 
 Knot[15, Alternating, 4232] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 5/a^2 - 
   a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (19*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (16*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4233] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4234] -> -1 + a^(-10) - 2/a^8 - 3/a^6 + 6/a^4 - 
   3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (3*z^2)/a^6 + (14*z^2)/a^4 + 
   z^2/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + (14*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 4235] -> 
  -2*a^2 + 4*a^4 + a^6 + a^8 - 5*a^10 + 2*a^12 - 5*a^2*z^2 + 8*a^4*z^2 + 
   8*a^6*z^2 + 6*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   12*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   8*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 4236] -> -1 + 2*a^2 - a^4 + 4*a^6 - 2*a^8 - 2*a^10 + 
   a^12 - 2*z^2 + 3*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 5*a^10*z^2 + a^12*z^2 - 
   z^4 + 2*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 4237] -> a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   a^4 - z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 4238] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4239] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 - a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (13*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4240] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 4241] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 22*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 + 8*a^4*z^4 - 
   6*a^6*z^4 - 10*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4242] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 10*z^2 - 
   z^2/a^4 - 14*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 + 5*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 9*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 4243] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - z^4/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4244] -> -a^(-4) + 2/a^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4245] -> 2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + 4*z^2 - 
   z^2/a^10 + (12*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4246] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (3*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4247] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4248] -> 6 - a^(-4) + a^(-2) - 9*a^2 + 4*a^4 + 7*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 22*a^2*z^2 + 9*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 22*a^2*z^4 + 8*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 4249] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 19*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (7*z^2)/a^2 - 8*a^2*z^2 + 20*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4250] -> 2*a^2 - a^4 + z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 4251] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 4252] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4253] -> 
  -5 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 + 3*a^2 - 15*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4254] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 9*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*a^2*z^2 + 16*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (8*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4255] -> -3*a^4 + 8*a^6 - 6*a^10 + 2*a^12 - a^2*z^2 - 
   7*a^4*z^2 + 23*a^6*z^2 + 5*a^8*z^2 - 13*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 26*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 4256] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 
   37*z^2 + (6*z^2)/a^4 - (27*z^2)/a^2 - 14*a^2*z^2 + 63*z^4 + (9*z^4)/a^4 - 
   (44*z^4)/a^2 - 20*a^2*z^4 + 55*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 4257] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + z^2 - 8*a^2*z^2 + 19*a^4*z^2 - 
   8*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 23*a^4*z^4 - 8*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4258] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 20*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4259] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 - 
   z^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (26*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (32*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4260] -> 
  1 + a^(-12) - 4/a^10 + 4/a^8 - a^(-4) + z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4 + (6*z^4)/a^8 - (7*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (4*z^6)/a^6 + (2*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 4261] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 
   3/a^4 + z^2 + z^2/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (17*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (27*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4262] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + a^(-6) + 2/a^4 + z^2/a^14 - 
   (9*z^2)/a^12 + (20*z^2)/a^10 - (18*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (26*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 + 
   (6*z^6)/a^10 - (17*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 4263] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + (6*z^2)/a^10 - (18*z^2)/a^8 + 
   (21*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (27*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - 
   (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 4264] -> a^(-14) - 4/a^12 + 5/a^10 - 
   2/a^8 - a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - 
   (7*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^8 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 4265] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - a^2 - a^4 + a^6 + z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 4266] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 4267] -> 
  1 - a^(-10) + 3/a^8 - a^(-6) - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 + z^4/a^8 - (10*z^4)/a^6 - (9*z^4)/a^4 - (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 4268] -> 
  -a^(-10) + 2/a^8 + a^(-4) - 3/a^2 + 2*a^2 - 4*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + z^6/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 4269] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 2*z^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (13*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4270] -> 
  3 + a^(-6) - 4/a^4 + 2/a^2 + a^2 - 2*a^4 + 2*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4271] -> 
  1 + a^(-6) - 5/a^4 + 5/a^2 - a^4 + z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 4272] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 4*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4273] -> -1 - a^(-10) + 2/a^8 + a^(-6) - 
   3/a^4 + 2/a^2 + a^4 - 3*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 4274] -> 2 - a^(-2) - 3*a^2 + 6*a^4 - a^6 - 3*a^8 + 
   a^10 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 9*a^4*z^2 + 3*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 + 5*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 4275] -> -2 - a^(-10) + 2/a^8 + a^2 + a^4 - 4*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 - (3*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[15, Alternating, 4276] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 
   4/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4277] -> a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - a^(-6) + 
   a^(-4) + a^(-2) - (5*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (9*z^4)/a^10 - (15*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4278] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + z^2/a^12 - (6*z^2)/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (5*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4279] -> 
  3 + a^(-4) - 4/a^2 + 5*a^2 - 5*a^4 + a^6 + 4*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4280] -> -3 + 11*a^2 - 10*a^4 + 3*a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 28*a^2*z^2 - 20*a^4*z^2 + 4*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   27*a^2*z^4 - 10*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   3*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4281] -> 
  -3 + 11*a^2 - 10*a^4 + 3*a^6 - 8*z^2 + z^2/a^4 - (2*z^2)/a^2 + 25*a^2*z^2 - 
   18*a^4*z^2 + 3*a^6*z^2 - 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 23*a^2*z^4 - 
   10*a^4*z^4 - z^6 - (2*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 4282] -> 
  -2*a^2 + 5*a^4 - 3*a^6 + 6*a^8 - 7*a^10 + 2*a^12 - 5*a^2*z^2 + 10*a^4*z^2 + 
   16*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   7*a^6*z^4 + 17*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   7*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 4283] -> -1 + 2*a^2 + 3*a^8 - 4*a^10 + a^12 - 2*z^2 + 
   3*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - 
   z^4 + 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 4284] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4285] -> -5 + a^(-8) - 4/a^6 + 4/a^4 + 2/a^2 + 4*a^2 - 
   a^4 - 15*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 4286] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4287] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4288] -> 
  4 + a^(-4) - 4/a^2 + a^2 - a^6 + 6*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   8*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4289] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4290] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4291] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4292] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4293] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   4*z^2 - z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4294] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4295] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (10*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4296] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4297] -> 4 - a^(-8) + 2/a^6 + 2/a^4 - 6/a^2 + 9*z^2 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - (19*z^2)/a^2 + 9*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 4298] -> 2 - a^(-8) + 2/a^6 + 2/a^4 - 5/a^2 + a^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 4299] -> -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 15*a^4*z^2 - 7*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 
   18*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4300] -> 3*a^4 - 2*a^6 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4301] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4302] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4303] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 7*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   20*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 4304] -> -1 + 3*a^2 - a^6 - 8*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 
   12*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4305] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 6*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4306] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 + 
   10*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4307] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (23*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4308] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 13*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 14*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4309] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (21*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4310] -> -4 - 3/a^4 + 7/a^2 + a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4311] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 - z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (25*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4312] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 4313] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4314] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4315] -> 
  -2/a^10 + 8/a^8 - 9/a^6 + a^(-4) + 3/a^2 - (7*z^2)/a^10 + (34*z^2)/a^8 - 
   (38*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 - (5*z^4)/a^10 + (41*z^4)/a^8 - 
   (59*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^10 + (19*z^6)/a^8 - 
   (43*z^6)/a^6 - (12*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (15*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4316] -> 1 - 2/a^10 + 7/a^8 - 6/a^6 - a^(-4) + 2/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (16*z^2)/a^8 - (12*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (12*z^4)/a^8 - (13*z^4)/a^6 - 
   (20*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (13*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4317] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4318] -> 
  -3/a^10 + 11/a^8 - 11/a^6 + 4/a^2 - (8*z^2)/a^10 + (37*z^2)/a^8 - 
   (38*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (40*z^4)/a^8 - 
   (54*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (39*z^6)/a^6 - (14*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4319] -> 2 - 2/a^10 + 6/a^8 - 3/a^6 - 3/a^4 + a^(-2) + 
   5*z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - (9*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + 4*z^4 - z^4/a^10 + (12*z^4)/a^8 - (14*z^4)/a^6 - (15*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 - 
   (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4320] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4321] -> 1 - 2/a^10 + 6/a^8 - 4/a^6 - a^(-2) + a^2 - 
   z^2/a^10 + (9*z^2)/a^8 - (8*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 4322] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 4323] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   2*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (27*z^2)/a^4 + (16*z^2)/a^2 + 3*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (28*z^4)/a^4 + (5*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (16*z^6)/a^4 - (6*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 4324] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 
   6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 4325] -> -3 + 10*a^2 - 9*a^4 + 4*a^6 - 
   a^8 - 13*z^2 + (2*z^2)/a^2 + 30*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 
   2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 34*a^2*z^4 - 27*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4326] -> 
  -2*a^4 + 3*a^6 + 7*a^8 - 9*a^10 + 2*a^12 - 9*a^4*z^2 + 13*a^6*z^2 + 
   31*a^8*z^2 - 29*a^10*z^2 + 5*a^12*z^2 - 12*a^4*z^4 + 18*a^6*z^4 + 
   50*a^8*z^4 - 34*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 14*a^6*z^6 + 
   38*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 4327] -> 
  -3*a^4 + 8*a^6 - a^8 - 4*a^10 + a^12 - 2*a^2*z^2 - 4*a^4*z^2 + 21*a^6*z^2 + 
   4*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 23*a^6*z^4 + 
   9*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 4328] -> 4/a^12 - 15/a^10 + 15/a^8 - 3/a^6 + 
   (14*z^2)/a^12 - (58*z^2)/a^10 + (69*z^2)/a^8 - (16*z^2)/a^6 + 
   (16*z^4)/a^12 - (81*z^4)/a^10 + (111*z^4)/a^8 - (29*z^4)/a^6 + 
   (7*z^6)/a^12 - (54*z^6)/a^10 + (90*z^6)/a^8 - (23*z^6)/a^6 + z^8/a^12 - 
   (17*z^8)/a^10 + (41*z^8)/a^8 - (8*z^8)/a^6 - (2*z^10)/a^10 + 
   (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 4329] -> 
  3/a^12 - 10/a^10 + 7/a^8 + 2/a^6 - a^(-4) + (7*z^2)/a^12 - (26*z^2)/a^10 + 
   (20*z^2)/a^8 + (12*z^2)/a^6 - (5*z^2)/a^4 + (5*z^4)/a^12 - (26*z^4)/a^10 + 
   (23*z^4)/a^8 + (18*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (15*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4330] -> 3/a^12 - 11/a^10 + 10/a^8 - a^(-6) + 
   (7*z^2)/a^12 - (27*z^2)/a^10 + (25*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^4)/a^12 - (26*z^4)/a^10 + (25*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (15*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4331] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (10*z^2)/a^10 + (3*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4332] -> 
  -2 + 6*a^2 - 6*a^4 + 7*a^6 - 5*a^8 + a^10 - 5*z^2 + 17*a^2*z^2 - 
   21*a^4*z^2 + 25*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 19*a^2*z^4 - 
   27*a^4*z^4 + 29*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 
   17*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 4333] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 
   9/a^2 - 12*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + 
   (28*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (33*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4334] -> 
  2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 2/a^4 + (5*z^2)/a^12 - (15*z^2)/a^10 - 
   z^2/a^8 + (27*z^2)/a^6 - (9*z^2)/a^4 + (4*z^4)/a^12 - (18*z^4)/a^10 + 
   (4*z^4)/a^8 + (34*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (8*z^6)/a^8 + (21*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4335] -> a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4336] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 - z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4337] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 4338] -> 
  2/a^12 - 6/a^10 + 4/a^8 - a^(-6) + 3/a^4 - a^(-2) + (3*z^2)/a^12 - 
   (11*z^2)/a^10 + (8*z^2)/a^8 + (10*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 4339] -> 
  a^(-12) - 2/a^10 - a^(-8) + a^(-6) + 3/a^4 - a^(-2) - z^2 + z^2/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 4340] -> 
  -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 23*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (24*z^2)/a^4 + (34*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4341] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4342] -> 
  3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + (10*z^2)/a^8 - (43*z^2)/a^6 + 
   (55*z^2)/a^4 - (19*z^2)/a^2 + (12*z^4)/a^8 - (63*z^4)/a^6 + (90*z^4)/a^4 - 
   (29*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 4343] -> 
  -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 8*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (11*z^2)/a^4 + (12*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (14*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 4344] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 22*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 + 8*a^4*z^4 - 
   6*a^6*z^4 - 10*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4345] -> a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 - 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - (26*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (29*z^4)/a^4 + 
   (17*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4346] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - 
   (21*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 4347] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 44*z^2 + (9*z^2)/a^4 - (36*z^2)/a^2 - 
   16*a^2*z^2 + 78*z^4 + (12*z^4)/a^4 - (58*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 4348] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 21*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (11*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4349] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 16*z^2 - (9*z^2)/a^6 + (36*z^2)/a^4 - 
   (44*z^2)/a^2 + 25*z^4 - (12*z^4)/a^6 + (58*z^4)/a^4 - (78*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 4350] -> 2 - 2/a^6 + 7/a^4 - 7/a^2 + a^2 - 
   2*z^2 - (5*z^2)/a^6 + (19*z^2)/a^4 - (18*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (19*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 4351] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - (7*z^2)/a^10 + (32*z^2)/a^8 - 
   (45*z^2)/a^6 + (21*z^2)/a^4 - (11*z^4)/a^10 + (55*z^4)/a^8 - 
   (80*z^4)/a^6 + (27*z^4)/a^4 - (6*z^6)/a^10 + (42*z^6)/a^8 - (70*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 4352] -> -a^(-10) + 5/a^8 - 8/a^6 + 4/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (19*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (20*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4353] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 11*z^2 - 
   (6*z^2)/a^6 + (24*z^2)/a^4 - (29*z^2)/a^2 + 19*z^4 - (9*z^4)/a^6 + 
   (43*z^4)/a^4 - (58*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 4354] -> 
  3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   17*a^2*z^2 + 8*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 20*a^2*z^4 + 
   8*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 4355] -> 6 - 2/a^6 + 9/a^4 - 12/a^2 + 21*z^2 - 
   (9*z^2)/a^6 + (41*z^2)/a^4 - (56*z^2)/a^2 + 29*z^4 - (12*z^4)/a^6 + 
   (62*z^4)/a^4 - (91*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 4356] -> 
  5 - a^(-8) + 3/a^6 + a^(-4) - 7/a^2 + 11*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (2*z^2)/a^4 - (22*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (8*z^4)/a^4 - (26*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 4357] -> 
  -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (23*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4358] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 4359] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (5*z^2)/a^10 + (19*z^2)/a^8 - (17*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 4360] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 
   3*a^4 - 14*z^2 - z^2/a^6 + (9*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4361] -> -6 - a^(-8) + 2/a^6 - 2/a^4 + 5/a^2 + 3*a^2 - 
   22*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 8*a^2*z^2 - 
   30*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 4362] -> -a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 
   5/a^4 + 4/a^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (21*z^4)/a^6 - 
   (24*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - (15*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4363] -> -a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 3/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 - (5*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4364] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 5*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4365] -> -a^(-14) + 4/a^12 - 3/a^10 - 4/a^8 + 4/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - 
   (21*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4366] -> -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (21*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 4367] -> -2/a^14 + 9/a^12 - 12/a^10 + 
   3/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (13*z^2)/a^12 - (19*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (12*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4368] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (23*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (42*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (34*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4369] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 3/a^4 + 
   2/a^2 + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - 
   (19*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4370] -> -2 + 3/a^8 - 13/a^6 + 14/a^4 - a^(-2) - 
   8*z^2 + (6*z^2)/a^8 - (33*z^2)/a^6 + (41*z^2)/a^4 + z^2/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (52*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (36*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4371] -> 2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (12*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4372] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 4373] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 
   24*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 14*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4374] -> 
  -2*a^4 + 3*a^6 + 7*a^8 - 9*a^10 + 2*a^12 - 2*a^2*z^2 - 3*a^4*z^2 + 
   13*a^6*z^2 + 19*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   18*a^6*z^4 + 22*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 4375] -> -3*a^4 + 8*a^6 - a^8 - 4*a^10 + a^12 - z^2 - 
   a^4*z^2 + 15*a^6*z^2 + 3*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 + 
   3*a^4*z^4 + 12*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   5*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 4376] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - z^2 - z^2/a^2 + 14*a^2*z^2 - 
   16*a^4*z^2 + 7*a^6*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4377] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (5*z^2)/a^12 - (18*z^2)/a^10 + 
   (14*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (19*z^4)/a^10 + 
   (16*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (11*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4378] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4379] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (5*z^2)/a^12 - (17*z^2)/a^10 + 
   (9*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (19*z^4)/a^10 + 
   (14*z^4)/a^8 + (16*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (11*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4380] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 26*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (26*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   27*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (33*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4381] -> -2 + 6*a^2 - 6*a^4 + 7*a^6 - 5*a^8 + a^10 - 
   z^2 - z^2/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 4382] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4383] -> 
  -11 - a^(-4) + 5/a^2 + 14*a^2 - 7*a^4 + a^6 - 28*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 33*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 34*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4384] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (20*z^2)/a^8 + 
   (27*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (13*z^4)/a^8 + (25*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 4385] -> -3 + 10*a^2 - 9*a^4 + 4*a^6 - 
   a^8 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 22*a^2*z^2 - 18*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 4386] -> -4 - 2/a^4 + 6/a^2 - a^2 + 
   3*a^4 - a^6 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 4387] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4388] -> -15 + a^(-6) - 6/a^4 + 13/a^2 + 
   12*a^2 - 4*a^4 - 37*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (31*z^2)/a^2 + 
   27*a^2*z^2 - 7*a^4*z^2 - 37*z^4 + z^4/a^6 - (10*z^4)/a^4 + (30*z^4)/a^2 + 
   24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4389] -> -13 - 2/a^4 + 8/a^2 + 15*a^2 - 10*a^4 + 
   3*a^6 - 32*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 36*a^2*z^2 - 24*a^4*z^2 + 
   6*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4390] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 5*a^4 + 2*a^6 - z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 4391] -> 4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + 
   (12*z^2)/a^8 - (51*z^2)/a^6 + (65*z^2)/a^4 - (22*z^2)/a^2 + (13*z^4)/a^8 - 
   (68*z^4)/a^6 + (96*z^4)/a^4 - (30*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (76*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 4392] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (17*z^2)/a^6 + (8*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (11*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4393] -> -1 + 3/a^8 - 10/a^6 + 9/a^4 - 8*z^2 + 
   (6*z^2)/a^8 - (22*z^2)/a^6 + (16*z^2)/a^4 + (11*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (15*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4394] -> -3 + a^(-8) - a^(-6) - 5/a^4 + 9/a^2 - 
   2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (16*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 4395] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 4396] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 3*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 + z^6/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4397] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 + 
   z^2/a^8 + z^2/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 4398] -> 
  -3 + a^(-2) + 8*a^4 - 5*a^6 - 10*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   20*a^4*z^2 - 9*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 + 21*a^4*z^4 - 
   8*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4399] -> -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4400] -> 
  14 + 3/a^4 - 11/a^2 - 5*a^2 + 44*z^2 + (9*z^2)/a^4 - (36*z^2)/a^2 - 
   15*a^2*z^2 + 65*z^4 + (10*z^4)/a^4 - (49*z^4)/a^2 - 20*a^2*z^4 + 55*z^6 + 
   (5*z^6)/a^4 - (35*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 4401] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4402] -> 
  4 - a^(-8) + 2/a^6 + 2/a^4 - 6/a^2 + 9*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 - (19*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (5*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (8*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 4403] -> 
  2 - a^(-8) + 2/a^6 + 2/a^4 - 5/a^2 + a^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 4404] -> -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + (2*z^2)/a^2 + 
   15*a^4*z^2 - 7*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 18*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4405] -> 3*a^4 - 2*a^6 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4406] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (10*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4407] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4408] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4409] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4410] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (6*z^4)/a^6 - (19*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 4411] -> 
  15 - 4/a^2 - 16*a^2 + 6*a^4 + 51*z^2 - (12*z^2)/a^2 - 64*a^2*z^2 + 
   23*a^4*z^2 + 68*z^4 - (13*z^4)/a^2 - 96*a^2*z^4 + 30*a^4*z^4 + 45*z^6 - 
   (6*z^6)/a^2 - 76*a^2*z^6 + 20*a^4*z^6 + 15*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 4412] -> -2 - 2/a^4 + 6/a^2 - 4*a^2 + 3*a^4 - 10*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 - 15*a^2*z^2 + 9*a^4*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 22*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4413] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 14*z^2 - (6*z^2)/a^6 + (27*z^2)/a^4 - 
   (37*z^2)/a^2 + 20*z^4 - (9*z^4)/a^6 + (44*z^4)/a^4 - (63*z^4)/a^2 + 
   15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - (55*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 4414] -> -a^(-12) + 5/a^10 - 9/a^8 + 
   6/a^6 - a^(-4) + a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + 
   (23*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (29*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - 
   (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 4415] -> a^(-14) - 4/a^12 + 7/a^10 - 
   8/a^8 + 4/a^6 + a^(-4) + z^2/a^14 - (9*z^2)/a^12 + (21*z^2)/a^10 - 
   (23*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - 
   (28*z^4)/a^8 + (17*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - (17*z^6)/a^8 + 
   (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^6, Knot[15, Alternating, 4416] -> 4 - 2/a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4417] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 4418] -> a^(-6) - 3/a^4 + 3/a^2 - (4*z^2)/a^10 + 
   (16*z^2)/a^8 - (13*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (28*z^4)/a^8 - (35*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (16*z^6)/a^8 - (32*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4419] -> 1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4420] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 
   13*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4421] -> 
  -3*a^4 + 7*a^6 + 2*a^8 - 7*a^10 + 2*a^12 - 2*a^2*z^2 - 4*a^4*z^2 + 
   17*a^6*z^2 + 14*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   19*a^6*z^4 + 21*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 4422] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - 4*z^4 + 17*a^2*z^4 - 13*a^4*z^4 - 
   3*a^6*z^4 + 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 8*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 4423] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + 
   z^2 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4424] -> a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - 
   (13*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^12 - 
   (17*z^4)/a^10 + (13*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4425] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 4426] -> -1 + 2*a^2 - a^4 + 5*a^6 - 5*a^8 + 
   a^10 + z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 4427] -> -a^2 + a^4 + 3*a^6 + a^8 - 4*a^10 + a^12 - 
   z^2 - a^2*z^2 + 3*a^4*z^2 + 10*a^6*z^2 + 4*a^8*z^2 - 7*a^10*z^2 + 
   a^12*z^2 - z^4 + 4*a^4*z^4 + 11*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 4428] -> 1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 
   2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4429] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   16*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4430] -> 
  -11 + a^(-6) - 6/a^4 + 12/a^2 + 7*a^2 - 2*a^4 - 27*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (31*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4431] -> 
  -8 + 2/a^2 + 9*a^2 + a^4 - 3*a^6 - 13*z^2 + z^2/a^4 + 20*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 - 8*z^4 + z^4/a^4 - (3*z^4)/a^2 + 20*a^2*z^4 - 
   2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 4432] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 6*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4433] -> -1 + 2/a^8 - 6/a^6 + 4/a^4 + 
   2/a^2 - 5*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + (9*z^2)/a^4 + (8*z^2)/a^2 - 
   7*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + (10*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4434] -> -2 + 5*a^2 - a^4 - a^6 - z^2 - z^2/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4435] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 27*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4436] -> 2 + a^(-6) - 3/a^4 + a^(-2) + 2*a^2 - 
   2*a^4 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4437] -> 
  -12 + a^(-6) - 5/a^4 + 11/a^2 + 8*a^2 - 2*a^4 - 29*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (25*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4438] -> 
  19 + 4/a^4 - 15/a^2 - 7*a^2 + 59*z^2 + (12*z^2)/a^4 - (48*z^2)/a^2 - 
   20*a^2*z^2 + 85*z^4 + (13*z^4)/a^4 - (64*z^4)/a^2 - 26*a^2*z^4 + 70*z^6 + 
   (6*z^6)/a^4 - (44*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 4439] -> -4 + a^(-4) - a^(-2) + 9*a^2 - 4*a^4 - 
   4*z^2 + (4*z^2)/a^4 - (10*z^2)/a^2 + 21*a^2*z^2 - 9*a^4*z^2 + 4*z^4 + 
   (4*z^4)/a^4 - (16*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 8*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 4440] -> 
  10 + a^(-6) - a^(-4) - 5/a^2 - 4*a^2 + 25*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 10*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4441] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 7*z^2 + 
   z^2/a^6 - (9*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4442] -> 11 + a^(-6) - 2/a^4 - 4/a^2 - 5*a^2 + 
   24*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 23*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4443] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 4444] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4445] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4446] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4447] -> 6 - a^(-4) + a^(-2) - 9*a^2 + 4*a^4 + 7*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 22*a^2*z^2 + 9*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 22*a^2*z^4 + 8*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 4448] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 19*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (7*z^2)/a^2 - 8*a^2*z^2 + 20*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4449] -> 2*a^2 - a^4 + z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 4450] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 20*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4451] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 
   9*z^2 + z^2/a^4 - z^2/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 10*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4452] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4453] -> 
  1 - 2/a^4 + 5/a^2 - 7*a^2 + 4*a^4 - 4*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 - 
   20*a^2*z^2 + 10*a^4*z^2 - 10*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 
   24*a^2*z^4 + 10*a^4*z^4 - 10*z^6 - z^6/a^4 + (10*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 4454] -> -a^(-6) + 2/a^4 + a^(-2) - 4*a^2 + 3*a^4 - 
   5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 7*a^2*z^2 + 4*a^4*z^2 - 9*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 4455] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 4456] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 4457] -> 
  3 - a^(-2) - 3*a^2 + 5*a^4 - 4*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4458] -> 1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 
   3*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + 4*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4459] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 - 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4460] -> 
  -5 + a^(-8) - 2/a^6 - 5/a^4 + 12/a^2 - 12*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (29*z^2)/a^2 - 11*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 - 
   z^4/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4461] -> -1 + 10*a^4 - 12*a^6 + 4*a^8 - 
   4*z^2 + 6*a^2*z^2 + 19*a^4*z^2 - 30*a^6*z^2 + 11*a^8*z^2 - 4*z^4 + 
   12*a^2*z^4 + 10*a^4*z^4 - 31*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   2*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 4462] -> 
  -2 + 5*a^2 + 2*a^4 - 7*a^6 + 3*a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - a^4*z^2 - 
   11*a^6*z^2 + 5*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4463] -> 
  -2 + 4*a^2 + 5*a^4 - 10*a^6 + 4*a^8 - 5*z^2 + 12*a^2*z^2 + 9*a^4*z^2 - 
   25*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 3*a^4*z^4 - 28*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 4464] -> 2 - a^(-2) + 4*a^4 - 7*a^6 + 3*a^8 + 5*z^2 - 
   (2*z^2)/a^2 + 4*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4465] -> 2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4466] -> 
  1 - a^(-2) + 5*a^2 - 4*a^4 - 2*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 15*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 19*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4467] -> -3 + 8*a^2 - 8*a^6 + 4*a^8 - 7*z^2 + 
   20*a^2*z^2 + 2*a^4*z^2 - 28*a^6*z^2 + 13*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 
   2*a^4*z^4 - 35*a^6*z^4 + 13*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 4468] -> 
  1 - a^(-2) + 4*a^2 - a^4 - 5*a^6 + 3*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 11*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4469] -> 5 - 2/a^2 - 2*a^4 - 2*a^6 + 2*a^8 + 9*z^2 - 
   (3*z^2)/a^2 - 7*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   a^2*z^4 - 10*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4470] -> -a^(-12) + 5/a^10 - 9/a^8 + 8/a^6 - 5/a^4 + 
   3/a^2 - (3*z^2)/a^12 + (15*z^2)/a^10 - (25*z^2)/a^8 + (22*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (29*z^4)/a^8 + 
   (24*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (15*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 4471] -> 
  1 - a^(-12) + 4/a^10 - 5/a^8 + 2/a^6 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (8*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 4472] -> 
  -2/a^12 + 9/a^10 - 15/a^8 + 13/a^6 - 8/a^4 + 4/a^2 - (3*z^2)/a^12 + 
   (18*z^2)/a^10 - (34*z^2)/a^8 + (32*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (33*z^4)/a^8 + (31*z^4)/a^6 - (23*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (17*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 4473] -> 2 - a^(-12) + 3/a^10 - a^(-8) - 4/a^6 + 
   5/a^4 - 3/a^2 + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4474] -> -1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-4) + 
   2/a^2 + a^2 - 3*z^2 + (3*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - z^4/a^4 + z^4/a^2 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 4475] -> 
  13 + a^(-6) - 2/a^4 - 6/a^2 - 3*a^2 - 2*a^4 + 23*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 - a^2*z^2 - 5*a^4*z^2 + 12*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (15*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4476] -> 4 + 2/a^6 - 8/a^4 + 6/a^2 - 2*a^2 - 
   a^4 + 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + z^4/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 4477] -> -3/a^18 + 16/a^16 - 26/a^14 + 
   11/a^12 + 3/a^10 - (4*z^2)/a^18 + (35*z^2)/a^16 - (84*z^2)/a^14 + 
   (51*z^2)/a^12 + (13*z^2)/a^10 - z^4/a^18 + (22*z^4)/a^16 - (91*z^4)/a^14 + 
   (85*z^4)/a^12 + (22*z^4)/a^10 + (4*z^6)/a^16 - (40*z^6)/a^14 + 
   (65*z^6)/a^12 + (18*z^6)/a^10 - (6*z^8)/a^14 + (23*z^8)/a^12 + 
   (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 4478] -> 
  -2/a^18 + 10/a^16 - 14/a^14 + 2/a^12 + 4/a^10 + a^(-8) - z^2/a^18 + 
   (13*z^2)/a^16 - (31*z^2)/a^14 + (5*z^2)/a^12 + (20*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^4)/a^16 - (24*z^4)/a^14 + (12*z^4)/a^12 + 
   (31*z^4)/a^10 + (6*z^4)/a^8 - (6*z^6)/a^14 + (11*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 4479] -> -1 + a^(-10) - 5/a^8 + 10/a^6 - 13/a^4 + 
   10/a^2 - a^2 + z^2 + z^2/a^10 - (9*z^2)/a^8 + (24*z^2)/a^6 - 
   (29*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (27*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4480] -> -a^(-18) + 4/a^16 - 2/a^14 - 7/a^12 + 
   5/a^10 + 2/a^8 - z^2/a^18 + (9*z^2)/a^16 - (16*z^2)/a^14 - (8*z^2)/a^12 + 
   (18*z^2)/a^10 + (7*z^2)/a^8 + (4*z^4)/a^16 - (19*z^4)/a^14 + 
   (6*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 - (6*z^6)/a^14 + 
   (10*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4481] -> 
  -a^(-18) + 5/a^16 - 8/a^14 + 5/a^12 - 4/a^10 + 3/a^8 + a^(-6) + 
   (4*z^2)/a^16 - (13*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 + (9*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^4)/a^14 + (7*z^4)/a^12 + (4*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 4482] -> -2/a^18 + 11/a^16 - 17/a^14 + 4/a^12 + 
   5/a^10 - z^2/a^18 + (16*z^2)/a^16 - (44*z^2)/a^14 + (17*z^2)/a^12 + 
   (23*z^2)/a^10 + (5*z^4)/a^16 - (36*z^4)/a^14 + (29*z^4)/a^12 + 
   (36*z^4)/a^10 + (2*z^4)/a^8 - (9*z^6)/a^14 + (21*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 4483] -> -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 
   6/a^10 + a^(-8) + (5*z^2)/a^16 - (14*z^2)/a^14 - (6*z^2)/a^12 + 
   (19*z^2)/a^10 + (6*z^2)/a^8 - (9*z^4)/a^14 + (4*z^4)/a^12 + 
   (22*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 4484] -> 
  -8 - a^(-8) + 3/a^6 - 6/a^4 + 10/a^2 + 3*a^2 - 24*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (29*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (33*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 4485] -> -a^(-12) + 3/a^10 - 4/a^8 + 7/a^6 - 
   10/a^4 + 6/a^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (24*z^2)/a^6 - 
   (28*z^2)/a^4 + (11*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (29*z^4)/a^6 - 
   (33*z^4)/a^4 + (8*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (19*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4486] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 11/a^2 - 
   8*z^2 + z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (30*z^2)/a^4 + 
   (28*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (33*z^4)/a^4 + 
   (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4487] -> 
  3 - a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 3/a^4 - 2/a^2 + 4*z^2 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (7*z^2)/a^2 + 
   2*z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4488] -> -a^(-18) + 6/a^16 - 8/a^14 - 3/a^12 + 
   7/a^10 - z^2/a^18 + (12*z^2)/a^16 - (31*z^2)/a^14 + (4*z^2)/a^12 + 
   (27*z^2)/a^10 + (5*z^4)/a^16 - (31*z^4)/a^14 + (21*z^4)/a^12 + 
   (38*z^4)/a^10 + (2*z^4)/a^8 - (9*z^6)/a^14 + (19*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 4489] -> -a^(-18) + 6/a^16 - 10/a^14 + 4/a^12 - 
   a^(-10) + 3/a^8 + (5*z^2)/a^16 - (18*z^2)/a^14 + (7*z^2)/a^12 + 
   (6*z^2)/a^10 + (10*z^2)/a^8 - (9*z^4)/a^14 + (9*z^4)/a^12 + 
   (14*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 4490] -> 
  -2*a^4 + a^6 + 15*a^8 - 19*a^10 + 6*a^12 - 9*a^4*z^2 + 10*a^6*z^2 + 
   43*a^8*z^2 - 44*a^10*z^2 + 9*a^12*z^2 - 12*a^4*z^4 + 17*a^6*z^4 + 
   56*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 14*a^6*z^6 + 
   39*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 4491] -> 
  -4*a^4 + 11*a^6 - 2*a^8 - 7*a^10 + 3*a^12 - 2*a^2*z^2 - 5*a^4*z^2 + 
   24*a^6*z^2 + 3*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   24*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 4492] -> 6/a^8 - 25/a^6 + 31/a^4 - 11/a^2 + 
   (17*z^2)/a^8 - (78*z^2)/a^6 + (106*z^2)/a^4 - (37*z^2)/a^2 + 
   (17*z^4)/a^8 - (95*z^4)/a^6 + (143*z^4)/a^4 - (44*z^4)/a^2 + (7*z^6)/a^8 - 
   (57*z^6)/a^6 + (103*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + 
   (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 4493] -> -3 + 4/a^8 - 15/a^6 + 14/a^4 + 
   a^(-2) - 11*z^2 + (8*z^2)/a^8 - (33*z^2)/a^6 + (30*z^2)/a^4 + 
   (13*z^2)/a^2 - 11*z^4 + (5*z^4)/a^8 - (29*z^4)/a^6 + (29*z^4)/a^4 + 
   (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (17*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4494] -> -2 + 7*a^2 - 11*a^4 + 16*a^6 - 
   12*a^8 + 3*a^10 - 5*z^2 + 19*a^2*z^2 - 30*a^4*z^2 + 39*a^6*z^2 - 
   21*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 32*a^4*z^4 + 36*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 18*a^4*z^6 + 16*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 4495] -> -6 + 2/a^8 - 5/a^6 - 3/a^4 + 13/a^2 - 
   15*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 - z^2/a^4 + (33*z^2)/a^2 - 14*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (6*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4496] -> 6 + 2/a^8 - 7/a^6 + 7/a^4 - 4/a^2 - 3*a^2 + 
   12*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - 
   6*a^2*z^2 + 11*z^4 + z^4/a^8 - (8*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 4497] -> 
  3 - a^(-2) - 3*a^2 + 5*a^4 - 4*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4498] -> -1 + a^(-10) - 5/a^8 + 11/a^6 - 13/a^4 + 
   8/a^2 - 6*z^2 + z^2/a^10 - (8*z^2)/a^8 + (23*z^2)/a^6 - (33*z^2)/a^4 + 
   (23*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (34*z^4)/a^4 + 
   (29*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4499] -> 
  5/a^8 - 21/a^6 + 26/a^4 - 9/a^2 + (13*z^2)/a^8 - (60*z^2)/a^6 + 
   (82*z^2)/a^4 - (28*z^2)/a^2 + (13*z^4)/a^8 - (73*z^4)/a^6 + 
   (110*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + (82*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 4500] -> -3 + 3/a^8 - 11/a^6 + 9/a^4 + 3/a^2 - 9*z^2 + 
   (6*z^2)/a^8 - (24*z^2)/a^6 + (20*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (19*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4501] -> -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 
   a^2*z^2 - 7*a^4*z^2 + 21*a^6*z^2 + 11*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 25*a^6*z^4 + 15*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 4502] -> -3 + 11*a^2 - 13*a^4 + 9*a^6 - 
   3*a^8 - 9*z^2 + z^2/a^2 + 27*a^2*z^2 - 29*a^4*z^2 + 17*a^6*z^2 - 
   3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4503] -> 
  -4 + 2/a^8 - 6/a^6 + a^(-4) + 8/a^2 - 11*z^2 + (4*z^2)/a^8 - (13*z^2)/a^6 + 
   z^2/a^4 + (24*z^2)/a^2 - 11*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (3*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4504] -> -9 - a^(-8) + 5/a^6 - 9/a^4 + 
   11/a^2 + 4*a^2 - 20*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + 
   (25*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4505] -> 4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + 
   (12*z^2)/a^8 - (54*z^2)/a^6 + (73*z^2)/a^4 - (25*z^2)/a^2 + (13*z^4)/a^8 - 
   (69*z^4)/a^6 + (101*z^4)/a^4 - (31*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (77*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 4506] -> -1 + 3/a^8 - 12/a^6 + 13/a^4 - 2/a^2 - 
   6*z^2 + (6*z^2)/a^8 - (25*z^2)/a^6 + (26*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (23*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4507] -> -2*a^4 + 3*a^6 + 8*a^8 - 11*a^10 + 3*a^12 - 
   a^2*z^2 - 5*a^4*z^2 + 13*a^6*z^2 + 21*a^8*z^2 - 21*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 20*a^6*z^4 + 21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 14*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 4508] -> -1 - a^(-10) + 3/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 + a^2 - 5*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 
   2*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 4509] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (25*z^4)/a^8 - (29*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 4510] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 
   3/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4511] -> 
  -3 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 5/a^2 + a^4 - 3*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4512] -> 1 + a^(-10) - 6/a^8 + 13/a^6 - 14/a^4 + 
   7/a^2 - a^2 + 3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - 
   (32*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (29*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4513] -> -3/a^14 + 13/a^12 - 19/a^10 + 8/a^8 + 2/a^6 - 
   (7*z^2)/a^14 + (35*z^2)/a^12 - (53*z^2)/a^10 + (22*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^4)/a^14 + (38*z^4)/a^12 - (62*z^4)/a^10 + 
   (17*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (40*z^6)/a^10 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 4514] -> 
  -2/a^14 + 7/a^12 - 7/a^10 - a^(-8) + 3/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (13*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (13*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4515] -> -1 + a^(-10) - 2/a^8 - 3/a^6 + 6/a^4 - 
   3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (12*z^2)/a^4 + z^2/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (10*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4516] -> a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (14*z^2)/a^10 - (20*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (8*z^4)/a^10 - 
   (23*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4517] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4518] -> 1 - a^(-2) + 5*a^4 - 5*a^6 + a^8 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   3*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4519] -> 1 - 3/a^6 + 8/a^4 - 6/a^2 + a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (23*z^2)/a^4 - (24*z^2)/a^2 + 3*a^2*z^2 + z^4 - 
   (4*z^4)/a^6 + (27*z^4)/a^4 - (37*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (29*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 4520] -> -2/a^8 + 5/a^6 - 3/a^4 + a^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 4521] -> 1 - a^(-12) + 4/a^10 - 8/a^8 + 11/a^6 - 
   9/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + 
   (25*z^2)/a^6 - (20*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (22*z^4)/a^6 - (16*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4522] -> -2/a^10 + 6/a^8 - 7/a^6 + 3/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (22*z^2)/a^8 - (24*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (38*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4523] -> -a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 5/a^4 + 
   4/a^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (21*z^4)/a^6 - 
   (24*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - (15*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4524] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + (26*z^2)/a^2 - 
   9*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (26*z^4)/a^4 + (32*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4525] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (14*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 - z^4/a^14 + (8*z^4)/a^12 - 
   (9*z^4)/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4526] -> 
  5/a^12 - 17/a^10 + 16/a^8 - 3/a^6 + (8*z^2)/a^12 - (42*z^2)/a^10 + 
   (52*z^2)/a^8 - (9*z^2)/a^6 - z^2/a^4 + (5*z^4)/a^12 - (40*z^4)/a^10 + 
   (65*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + 
   (41*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4527] -> 3/a^12 - 9/a^10 + 5/a^8 + 3/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (17*z^2)/a^10 + (14*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + 
   z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + (15*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (10*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4528] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 14*z^2 - z^2/a^6 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 4529] -> 
  8 + a^(-6) - 3/a^4 - 2/a^2 - a^2 - 2*a^4 + 12*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 5*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4530] -> 
  -6 - a^(-8) + 2/a^6 - 2/a^4 + 5/a^2 + 3*a^2 - 22*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 8*a^2*z^2 - 30*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (26*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 4531] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 
   4/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - 
   (9*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4532] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 5*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4533] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4534] -> 
  -1 + 2/a^8 - 8/a^6 + 8/a^4 - 4*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + 
   (27*z^2)/a^4 - z^2/a^2 - 6*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (39*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 4535] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 6/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (18*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4536] -> 
  1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 5/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (21*z^2)/a^6 - (23*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (24*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 4537] -> -2/a^18 + 11/a^16 - 18/a^14 + 
   7/a^12 + 2/a^10 + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (45*z^2)/a^14 + 
   (24*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (36*z^4)/a^14 + (34*z^4)/a^12 + (24*z^4)/a^10 + (6*z^4)/a^8 - 
   (9*z^6)/a^14 + (22*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4538] -> 
  -1 - a^(-4) + a^(-2) + 6*a^2 - 5*a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 4539] -> a^(-12) - 2/a^10 - 3/a^8 + 
   6/a^6 - a^(-4) + (4*z^2)/a^12 - (17*z^2)/a^10 + (12*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + (33*z^4)/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + 
   (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 4540] -> 
  a^(-6) - 3/a^4 + 3/a^2 - (4*z^2)/a^10 + (16*z^2)/a^8 - (13*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - (32*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 4541] -> 
  1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (9*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (9*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4542] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 14*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 34*z^4 + 
   (4*z^4)/a^4 - (26*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 4543] -> 
  5 - a^(-6) + 3/a^4 - 5/a^2 - a^4 + 14*z^2 + z^2/a^6 - (9*z^2)/a^2 - 
   3*a^4*z^2 + 17*z^4 + z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 4544] -> 
  2 - a^(-12) + 4/a^10 - 7/a^8 + 9/a^6 - 7/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 4545] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - 
   a^(-6) + 3/a^4 - 3/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 4546] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^6 + 3/a^4 - 
   (5*z^2)/a^12 + (13*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (9*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - 
   (7*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4547] -> 1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 
   a^(-2) - a^2 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4548] -> 
  -2/a^18 + 10/a^16 - 15/a^14 + 5/a^12 + a^(-10) + 2/a^8 - z^2/a^18 + 
   (15*z^2)/a^16 - (39*z^2)/a^14 + (19*z^2)/a^12 + (9*z^2)/a^10 + 
   (7*z^2)/a^8 + (5*z^4)/a^16 - (32*z^4)/a^14 + (28*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - (8*z^6)/a^14 + (18*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 4549] -> -a^(-18) + 5/a^16 - 7/a^14 + a^(-12) + 
   a^(-10) + a^(-8) + a^(-6) + (5*z^2)/a^16 - (15*z^2)/a^14 + (4*z^2)/a^12 + 
   (7*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^14 + (7*z^4)/a^12 + 
   (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 4550] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^10 - (15*z^2)/a^8 + (20*z^2)/a^6 - (13*z^2)/a^4 + 2*z^4 - 
   (9*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4551] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4552] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4553] -> -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 
   3/a^10 + 2/a^8 + (6*z^2)/a^16 - (17*z^2)/a^14 - z^2/a^12 + (15*z^2)/a^10 + 
   (7*z^2)/a^8 - (11*z^4)/a^14 + (7*z^4)/a^12 + (20*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^6 + (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 4554] -> -2 + 2/a^8 - 9/a^6 + 9/a^4 + 
   a^(-2) - 7*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + (31*z^2)/a^4 + (3*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (45*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4555] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + 
   (14*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 4556] -> 2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - a^(-2) + 
   z^2/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 - z^4/a^8 + (19*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4557] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^4 + z^4/a^12 - 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4558] -> 
  -a^2 + 6*a^6 - a^8 - 5*a^10 + 2*a^12 - 4*a^2*z^2 + 3*a^4*z^2 + 14*a^6*z^2 + 
   6*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 5*a^4*z^4 + 
   15*a^6*z^4 + 13*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   9*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 4559] -> -2*a^2 + 4*a^4 + 2*a^6 - 2*a^8 - 2*a^10 + 
   a^12 - z^2 - 2*a^2*z^2 + 7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 5*a^10*z^2 + 
   a^12*z^2 - z^4 + 6*a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 4560] -> 3/a^10 - 10/a^8 + 6/a^6 + 5/a^4 - 3/a^2 + 
   (7*z^2)/a^10 - (28*z^2)/a^8 + (22*z^2)/a^6 + (16*z^2)/a^4 - (10*z^2)/a^2 + 
   (5*z^4)/a^10 - (29*z^4)/a^8 + (28*z^4)/a^6 + (23*z^4)/a^4 - (12*z^4)/a^2 + 
   z^6/a^10 - (13*z^6)/a^8 + (19*z^6)/a^6 + (18*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 4561] -> -1 + 2/a^10 - 6/a^8 + 2/a^6 + 4/a^4 - 3*z^2 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (14*z^2)/a^4 - 3*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (16*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 4562] -> 
  -2 + a^(-10) - 2/a^8 - 2/a^6 + 3/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 - (2*z^2)/a^6 + (9*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (12*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 4563] -> 1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 
   2/a^2 - a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 4564] -> -10 + a^(-8) - 4/a^6 + 3/a^4 + 6/a^2 + 
   6*a^2 - a^4 - 20*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (9*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 4565] -> 
  -7 - a^(-8) + 7/a^6 - 17/a^4 + 18/a^2 + a^2 - 18*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (38*z^2)/a^4 + (41*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (34*z^4)/a^4 + (39*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4566] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4567] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (28*z^2)/a^4 + (23*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (27*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4568] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - (13*z^2)/a^10 + (8*z^2)/a^8 + 
   (8*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + (13*z^4)/a^8 + 
   (10*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + 
   (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 4569] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (2*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4570] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (21*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4571] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (22*z^2)/a^4 - (7*z^2)/a^2 + (8*z^4)/a^8 - 
   (37*z^4)/a^6 + (48*z^4)/a^4 - (16*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + 
   (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 4572] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) - 3*z^2 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (8*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4573] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 6*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4574] -> 
  23 + 4/a^4 - 17/a^2 - 9*a^2 + 71*z^2 + (12*z^2)/a^4 - (53*z^2)/a^2 - 
   25*a^2*z^2 + 98*z^4 + (13*z^4)/a^4 - (68*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + 
   (6*z^6)/a^4 - (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 4575] -> 6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 12*z^2 + 
   (5*z^2)/a^4 - (18*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 13*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 4576] -> 
  a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (26*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (29*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4577] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 
   12*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 4578] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 4579] -> 5 + 2/a^6 - 6/a^4 + 3/a^2 - 
   3*a^2 + 10*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - 6*a^2*z^2 + 
   12*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (15*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4580] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 30*z^2 + (7*z^2)/a^4 - (26*z^2)/a^2 - 
   10*a^2*z^2 + 51*z^4 + (9*z^4)/a^4 - (41*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + 
   (5*z^6)/a^4 - (33*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 4581] -> a^(-6) - 3/a^4 + 3/a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4582] -> 
  -2 + a^(-6) - 3/a^4 + 3/a^2 + 4*a^2 - 2*a^4 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4583] -> -12 + a^(-6) - 5/a^4 + 11/a^2 + 8*a^2 - 
   2*a^4 - 29*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (25*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 29*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4584] -> 
  18 + 3/a^4 - 13/a^2 - 7*a^2 + 52*z^2 + (9*z^2)/a^4 - (39*z^2)/a^2 - 
   18*a^2*z^2 + 70*z^4 + (10*z^4)/a^4 - (50*z^4)/a^2 - 21*a^2*z^4 + 56*z^6 + 
   (5*z^6)/a^4 - (35*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 4585] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 27*z^2 - 
   (7*z^2)/a^2 - 31*a^2*z^2 + 11*a^4*z^2 + 42*z^4 - (9*z^4)/a^2 - 
   54*a^2*z^4 + 17*a^4*z^4 + 33*z^6 - (5*z^6)/a^2 - 50*a^2*z^6 + 14*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 4586] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 12*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 4587] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - z^2 + z^2/a^2 - 
   9*a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   23*a^4*z^4 - 8*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4588] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 4589] -> -3/a^10 + 13/a^8 - 19/a^6 + 
   10/a^4 - (10*z^2)/a^10 + (44*z^2)/a^8 - (60*z^2)/a^6 + (25*z^2)/a^4 - 
   (12*z^4)/a^10 + (61*z^4)/a^8 - (87*z^4)/a^6 + (28*z^4)/a^4 - 
   (6*z^6)/a^10 + (43*z^6)/a^8 - (71*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 4590] -> 
  -2/a^10 + 8/a^8 - 9/a^6 + a^(-4) + 3/a^2 - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (20*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (20*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4591] -> -a^(-10) + 2/a^8 + 3/a^6 - 9/a^4 + 6/a^2 - 
   (4*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 - (23*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^10 + (17*z^4)/a^8 - (7*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4592] -> 2 - a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + 
   3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - (8*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4593] -> -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 21*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 4594] -> 
  -8 - 2/a^4 + 7/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 23*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 4595] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 8*z^2 + z^2/a^2 + 23*a^2*z^2 - 
   25*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 4596] -> 1 - a^(-4) + 2/a^2 - 3*a^4 + 2*a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4597] -> 
  -1 + 4*a^2 - 2*a^4 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 18*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4598] -> 6 - 2/a^6 + 9/a^4 - 12/a^2 + 15*z^2 - 
   (7*z^2)/a^6 + (31*z^2)/a^4 - (42*z^2)/a^2 + 20*z^4 - (9*z^4)/a^6 + 
   (45*z^4)/a^4 - (64*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (55*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 4599] -> 
  -7 - a^(-8) + 4/a^6 - 5/a^4 + 6/a^2 + 4*a^2 - 19*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4600] -> 
  -10 - a^(-8) + 4/a^6 - 8/a^4 + 12/a^2 + 4*a^2 - 26*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (21*z^2)/a^4 + (33*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (36*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 4601] -> -2*a^4 + 4*a^6 + 5*a^8 - 8*a^10 + 
   2*a^12 - a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 + 15*a^8*z^2 - 16*a^10*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 21*a^6*z^4 + 17*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 14*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 4602] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 + a^2*z^2 + 13*a^4*z^2 - 
   6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4603] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - (19*z^4)/a^6 + 
   z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (20*z^6)/a^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 4604] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 10/a^8 + 3/a^6 + 2/a^4 - (5*z^2)/a^12 + 
   (19*z^2)/a^10 - (25*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 + 
   (10*z^4)/a^10 - (24*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (9*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4605] -> -3/a^10 + 10/a^8 - 12/a^6 + 5/a^4 + a^(-2) - 
   (8*z^2)/a^10 + (36*z^2)/a^8 - (43*z^2)/a^6 + (12*z^2)/a^4 + (4*z^2)/a^2 - 
   (5*z^4)/a^10 + (40*z^4)/a^8 - (60*z^4)/a^6 + (7*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (18*z^6)/a^8 - (41*z^6)/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (14*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 4606] -> -a^(-6) + a^(-4) + 2/a^2 - 
   2*a^2 + a^6 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4607] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - z^2 - 
   (5*z^2)/a^6 + (20*z^2)/a^4 - (17*z^2)/a^2 + 4*a^2*z^2 - 2*z^4 - 
   (4*z^4)/a^6 + (27*z^4)/a^4 - (34*z^4)/a^2 + 6*a^2*z^4 - 5*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (29*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 4608] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 + 
   z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 + 
   z^4 - z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (14*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 4609] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 8/a^8 + 4/a^6 + a^(-4) - z^2/a^14 - 
   (2*z^2)/a^12 + (14*z^2)/a^10 - (20*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (8*z^4)/a^10 - (23*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4610] -> 
  -a^(-12) + 8/a^8 - 13/a^6 + 6/a^4 + a^(-2) - (3*z^2)/a^12 + (9*z^2)/a^10 + 
   (9*z^2)/a^8 - (29*z^2)/a^6 + (11*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + 
   (11*z^4)/a^10 - (3*z^4)/a^8 - (29*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 4611] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (21*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (39*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (31*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4612] -> -1 + 3/a^8 - 12/a^6 + 13/a^4 - 2/a^2 - 
   3*z^2 + (6*z^2)/a^8 - (30*z^2)/a^6 + (39*z^2)/a^4 - (7*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (49*z^4)/a^4 - (6*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (33*z^6)/a^4 + z^6/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4613] -> 4/a^12 - 13/a^10 + 11/a^8 - a^(-6) + 
   (8*z^2)/a^12 - (39*z^2)/a^10 + (45*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^4)/a^12 - (40*z^4)/a^10 + (62*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (41*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 4614] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 5*z^2 + (5*z^2)/a^8 - (20*z^2)/a^6 + (20*z^2)/a^4 + (3*z^2)/a^2 - 
   7*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + (36*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4615] -> 3/a^12 - 10/a^10 + 9/a^8 - 2/a^6 + a^(-4) + 
   (5*z^2)/a^12 - (27*z^2)/a^10 + (34*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^12 - (29*z^4)/a^10 + (47*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (32*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4616] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 5/a^2 - 
   a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (23*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (24*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4617] -> 3/a^12 - 10/a^10 + 9/a^8 - 2/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (17*z^2)/a^10 + (17*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + (12*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4618] -> -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (21*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 4619] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 
   3/a^2 - 7*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + (19*z^2)/a^4 + (8*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + (32*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4620] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + 4/a^6 - 
   5/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4621] -> -a^(-18) + 6/a^16 - 10/a^14 + 3/a^12 + 
   a^(-10) + 2/a^8 - z^2/a^18 + (12*z^2)/a^16 - (32*z^2)/a^14 + 
   (15*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - 
   (29*z^4)/a^14 + (25*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^6)/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4622] -> 
  3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 2/a^4 + (5*z^2)/a^12 - (25*z^2)/a^10 + 
   (21*z^2)/a^8 + (14*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + 
   (36*z^4)/a^8 + (16*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4623] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - 5*z^4 + (3*z^4)/a^8 - 
   (18*z^4)/a^6 + (22*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (13*z^6)/a^6 + (23*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4624] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4625] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 5/a^8 + a^(-4) - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (17*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (13*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4626] -> 
  -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4627] -> 2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (13*z^2)/a^10 + (17*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (15*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4628] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (23*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (42*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (34*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 4629] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 
   3/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (6*z^4)/a^6 - (19*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4630] -> 1 - a^(-12) + 3/a^10 - 2/a^8 + a^(-6) - 
   3/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4631] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 8*z^2 + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (24*z^2)/a^4 + (7*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (42*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4632] -> 2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (12*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4633] -> 3 - a^(-4) - a^4 + 8*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 2*a^4*z^2 + 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 4634] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 4635] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 
   2/a^4 - a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + z^4/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 4636] -> -a^(-18) + 6/a^16 - 11/a^14 + 6/a^12 - 
   a^(-10) + a^(-8) + a^(-6) + (5*z^2)/a^16 - (18*z^2)/a^14 + (11*z^2)/a^12 + 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^14 + (10*z^4)/a^12 + 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 4637] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + 
   (11*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   (17*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + (12*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 4638] -> a^(-12) - 2/a^10 - 3/a^8 + 5/a^6 + a^(-4) - 
   a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + 
   (12*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4639] -> -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 - 3*z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (26*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (29*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (17*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4640] -> 
  -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 + z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4641] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (10*z^4)/a^10 - z^4/a^8 + (20*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4642] -> -4*a^4 + 12*a^6 - 6*a^8 - 2*a^10 + a^12 - 
   a^2*z^2 - 9*a^4*z^2 + 30*a^6*z^2 - 3*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 30*a^6*z^4 + 8*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 16*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 4643] -> -a^2 + a^4 + 2*a^6 + 4*a^8 - 
   7*a^10 + 2*a^12 - 3*a^2*z^2 + a^4*z^2 + 11*a^6*z^2 + 14*a^8*z^2 - 
   17*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 16*a^6*z^4 + 19*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 4644] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (5*z^2)/a^12 - (18*z^2)/a^10 + (14*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (16*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (11*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4645] -> 3 - a^(-2) - 3*a^2 + a^4 + 5*a^6 - 5*a^8 + 
   a^10 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 15*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 9*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 4646] -> 
  -1 + 2/a^10 - 7/a^8 + 6/a^6 - a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (21*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4647] -> -5 - a^(-8) + 6/a^6 - 13/a^4 + 13/a^2 + a^2 - 
   13*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (28*z^2)/a^4 + (27*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4648] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4649] -> 
  -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4650] -> 
  -2 + 2/a^10 - 8/a^8 + 11/a^6 - 9/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (28*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (29*z^4)/a^6 - (28*z^4)/a^4 + (19*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4651] -> 3 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   3/a^2 - a^2 + 6*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 4652] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - (20*z^2)/a^8 + 
   (27*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (13*z^4)/a^8 + (25*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 4653] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   12*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4654] -> 
  4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 17*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 - 10*a^2*z^2 + 24*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (12*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 4655] -> 
  3 + a^(-6) - 3/a^4 + a^(-2) - a^4 + 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   4*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + 6*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 4656] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 9/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (24*z^2)/a^8 + (25*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (28*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 4657] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 5*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4658] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4659] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4660] -> 2/a^6 - 7/a^4 + 7/a^2 - a^2 + 5*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (15*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4661] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4662] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 
   4/a^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4663] -> 4 + a^(-4) - 3/a^2 - a^2 + 25*z^2 + 
   (6*z^2)/a^4 - (22*z^2)/a^2 - 9*a^2*z^2 + 50*z^4 + (9*z^4)/a^4 - 
   (40*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (33*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 4664] -> 
  2 + a^(-4) - 2/a^2 + 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4665] -> 2 - 9*a^2 + 15*a^4 - 7*a^6 + 9*z^2 - 
   40*a^2*z^2 + 58*a^4*z^2 - 21*a^6*z^2 + 12*z^4 - 60*a^2*z^4 + 87*a^4*z^4 - 
   27*a^6*z^4 + 6*z^6 - 43*a^2*z^6 + 71*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 4666] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 - 
   3*z^2 + (2*z^2)/a^2 - 12*a^2*z^2 + 29*a^4*z^2 - 11*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 29*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4667] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 9*z^2 - (6*z^2)/a^6 + (22*z^2)/a^4 - 
   (25*z^2)/a^2 + 16*z^4 - (9*z^4)/a^6 + (40*z^4)/a^4 - (50*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 4668] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   7*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 4669] -> 
  -2/a^10 + 9/a^8 - 13/a^6 + 6/a^4 + a^(-2) - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (23*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - 
   (19*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (10*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4670] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (6*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4671] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4672] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   2*z^2 - (5*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (14*z^4)/a^6 - (23*z^4)/a^4 + z^4/a^2 + z^6 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4673] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4674] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4675] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4676] -> 
  8 - 3/a^6 + 13/a^4 - 17/a^2 + 24*z^2 - (11*z^2)/a^6 + (49*z^2)/a^4 - 
   (66*z^2)/a^2 + 30*z^4 - (13*z^4)/a^6 + (67*z^4)/a^4 - (97*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - (76*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 4677] -> 7 - a^(-8) + 2/a^6 + 5/a^4 - 
   12/a^2 + 12*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - 
   (27*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 - 
   (27*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 4678] -> -4 - 2/a^6 + 7/a^4 - 4/a^2 + 
   4*a^2 - 18*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - (10*z^2)/a^2 + 10*a^2*z^2 - 
   24*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 4679] -> 
  -5 - a^(-8) + 3/a^6 - a^(-4) + a^(-2) + 4*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 4680] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + z^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 - 
   2*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (27*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4681] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + a^(-6) + 2/a^4 + z^2/a^14 - 
   (9*z^2)/a^12 + (20*z^2)/a^10 - (18*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (26*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 + 
   (6*z^6)/a^10 - (17*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 4682] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^12 + (6*z^2)/a^10 - (18*z^2)/a^8 + 
   (21*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (27*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - 
   (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 4683] -> a^(-14) - 4/a^12 + 5/a^10 - 
   2/a^8 - a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (6*z^4)/a^10 - 
   (7*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^8 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 4684] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 4685] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - 
   (12*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (21*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4686] -> -a^(-12) + 2/a^10 + 3/a^8 - 7/a^6 + a^(-4) + 
   3/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + (3*z^2)/a^8 - (22*z^2)/a^6 + 
   z^2/a^4 + (7*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (6*z^4)/a^8 - 
   (28*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (16*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 4687] -> 1 - a^(-12) + 2/a^10 + 2/a^8 - 
   4/a^6 - a^(-4) + 2/a^2 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 + (3*z^2)/a^8 - 
   (10*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - z^4/a^8 - 
   (12*z^4)/a^6 - (9*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 4688] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - 
   a^2 - 4*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 - 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4689] -> 
  -a^(-12) + a^(-10) + 6/a^8 - 9/a^6 + 4/a^2 - (3*z^2)/a^12 + (10*z^2)/a^10 + 
   (6*z^2)/a^8 - (23*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + 
   (11*z^4)/a^10 - (4*z^4)/a^8 - (27*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 4690] -> 
  2 - a^(-12) + 2/a^10 + a^(-8) - a^(-6) - 3/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 - (7*z^2)/a^6 - (7*z^2)/a^4 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (10*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 4691] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 + 
   (4*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4692] -> a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - a^(-6) + 
   a^(-4) + a^(-2) - (5*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (9*z^4)/a^10 - (15*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4693] -> 
  1 - a^(-12) + 2/a^10 + a^(-8) - 2/a^6 - a^(-2) + a^2 + (3*z^2)/a^10 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, Knot[15, Alternating, 4694] -> 
  3 + a^(-4) - 4/a^2 + 5*a^2 - 5*a^4 + a^6 + 4*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4695] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 20*z^2 + 
   (4*z^2)/a^2 + 31*a^2*z^2 - 12*a^4*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   31*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + z^6/a^2 + 17*a^2*z^6 + 
   7*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4696] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4697] -> 1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 
   3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 4698] -> -a^2 + 2*a^4 - 2*a^6 + 9*a^8 - 9*a^10 + 
   2*a^12 - 4*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 + 21*a^8*z^2 - 18*a^10*z^2 + 
   3*a^12*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 9*a^6*z^4 + 20*a^8*z^4 - 
   13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 10*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 4699] -> -a^2 + a^4 + 3*a^6 + a^8 - 4*a^10 + a^12 - 
   z^2 - a^2*z^2 + 4*a^4*z^2 + 9*a^6*z^2 + 3*a^8*z^2 - 6*a^10*z^2 + 
   a^12*z^2 - z^4 + 5*a^4*z^4 + 9*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 4700] -> 2 - a^(-2) + a^2 - 4*a^4 + 7*a^6 - 5*a^8 + 
   a^10 + 5*z^2 - (2*z^2)/a^2 - 6*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 9*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 4701] -> -2 + a^(-10) - 4/a^8 + 6/a^6 - 7/a^4 + 
   7/a^2 - 5*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - 
   (24*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (26*z^4)/a^6 - (30*z^4)/a^4 + (20*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4702] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4703] -> 3 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 - 
   a^(-2) - a^2 + 7*z^2 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4704] -> -a^(-12) + 6/a^10 - 13/a^8 + 13/a^6 - 7/a^4 + 
   3/a^2 - z^2/a^12 + (9*z^2)/a^10 - (26*z^2)/a^8 + (33*z^2)/a^6 - 
   (20*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (33*z^4)/a^6 - 
   (23*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4705] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4706] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 6*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (16*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (16*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 4707] -> 
  -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4708] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 4709] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4710] -> 4 + a^(-4) - 4/a^2 + a^2 - a^6 + 6*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 4711] -> -a^(-12) + 6/a^10 - 12/a^8 + 9/a^6 - 2/a^4 + 
   a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + (25*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - (19*z^4)/a^8 + (28*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4712] -> -4 + a^(-2) + 4*a^2 + 3*a^4 - 3*a^6 - 
   15*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 13*a^2*z^4 + 20*a^4*z^4 - 9*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4713] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 7*z^2 + z^2/a^4 - z^2/a^2 + 
   10*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 4714] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 10*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 4715] -> 2 + a^(-4) - 2/a^2 + 6*z^2 + z^2/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4716] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4717] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (4*z^2)/a^10 + (15*z^2)/a^8 - 
   (11*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (13*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4718] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4719] -> 
  3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 17*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4720] -> 
  1 - 2/a^6 + 8/a^4 - 8/a^2 + 2*a^2 - 8*z^2 - (5*z^2)/a^6 + (20*z^2)/a^4 - 
   (18*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - 
   (17*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 4721] -> 
  -a^(-8) + 3/a^6 - 3/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 4722] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (26*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4723] -> -5 + 2/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - a^4 - 
   14*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (27*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4724] -> 
  a^(-14) - 5/a^12 + 11/a^10 - 13/a^8 + 6/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (20*z^2)/a^10 - (31*z^2)/a^8 + (19*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   (10*z^4)/a^10 - (27*z^4)/a^8 + (21*z^4)/a^6 - (2*z^4)/a^2 - (9*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4725] -> -2/a^18 + 11/a^16 - 18/a^14 + 7/a^12 + 
   2/a^10 + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (44*z^2)/a^14 + 
   (23*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (31*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 - 
   (8*z^6)/a^14 + (19*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4726] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 6/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (13*z^2)/a^14 - (6*z^2)/a^12 + (17*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (8*z^4)/a^14 + (3*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 4727] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (4*z^2)/a^12 - (18*z^2)/a^10 + (22*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (39*z^4)/a^8 - (9*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (30*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 4728] -> a^(-12) - 4/a^10 + 5/a^8 - 
   3/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + (10*z^2)/a^8 - 
   z^2/a^4 + z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4729] -> -10 - 4/a^4 + 12/a^2 + 3*a^2 - a^4 + a^6 - 
   27*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 
   29*z^4 - z^4/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   15*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4730] -> 
  -3/a^14 + 13/a^12 - 19/a^10 + 8/a^8 + 2/a^6 - (7*z^2)/a^14 + 
   (35*z^2)/a^12 - (51*z^2)/a^10 + (18*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^4)/a^14 + (38*z^4)/a^12 - (59*z^4)/a^10 + (9*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (39*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 4731] -> 
  -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (11*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (10*z^4)/a^10 - (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4732] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (4*z^2)/a^10 + (11*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (24*z^4)/a^8 - 
   (23*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (26*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4733] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4734] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4735] -> 
  -2 + 4/a^8 - 17/a^6 + 19/a^4 - 3/a^2 - 9*z^2 + (8*z^2)/a^8 - (44*z^2)/a^6 + 
   (56*z^2)/a^4 - (3*z^2)/a^2 - 12*z^4 + (5*z^4)/a^8 - (44*z^4)/a^6 + 
   (69*z^4)/a^4 + (7*z^4)/a^2 - 6*z^6 + z^6/a^8 - (19*z^6)/a^6 + 
   (45*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 4736] -> 
  -4 + 2/a^8 - 8/a^6 + 5/a^4 + 6/a^2 - 8*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (11*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (12*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 4737] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (9*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (28*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 4738] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + 
   (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4739] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (24*z^4)/a^8 - (23*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (26*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 4740] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4741] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (9*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (28*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 4742] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + 
   (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4743] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (21*z^4)/a^4 - (5*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (20*z^6)/a^4 + z^6/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4744] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (27*z^2)/a^4 - (7*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (41*z^4)/a^4 - (8*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (31*z^6)/a^4 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 4745] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + 
   (12*z^2)/a^4 - (7*z^2)/a^2 - z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (14*z^4)/a^4 - (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 4746] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^10 - z^2/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   (13*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (19*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4747] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^10 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (13*z^4)/a^8 - (8*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (17*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4748] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - z^2/a^6 + 
   (5*z^2)/a^2 - (3*z^4)/a^6 + (15*z^4)/a^4 - (14*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 - z^6/a^6 + (13*z^6)/a^4 - (21*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + 
   (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 4749] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 4750] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + z^2/a^12 - (7*z^2)/a^10 + (12*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (10*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4751] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 4752] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + z^2 - z^2/a^10 + (5*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4753] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 2*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - 
   (27*z^2)/a^4 + (16*z^2)/a^2 + 3*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - 
   (28*z^4)/a^4 + (5*z^4)/a^2 + 4*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (16*z^6)/a^4 - (6*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 4754] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 4755] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   9*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (25*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (27*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4756] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 - 
   z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4757] -> 
  -9 - a^(-8) + 5/a^6 - 11/a^4 + 14/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (27*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4758] -> 
  -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (24*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4759] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 15*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 7*a^4*z^4 - 8*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 4760] -> -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 
   2*a^2 - 22*z^2 - z^2/a^8 + (8*z^2)/a^6 - (24*z^2)/a^4 + (34*z^2)/a^2 + 
   5*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 4761] -> 
  -a^(-4) + 2/a^2 + 6*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (15*z^2)/a^2 + 
   15*z^4 - (8*z^4)/a^6 + (35*z^4)/a^4 - (44*z^4)/a^2 + 14*z^6 - 
   (5*z^6)/a^6 + (32*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 4762] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - 
   a^2 + 3*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 4763] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (11*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (8*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4764] -> -7 - a^(-4) + 4/a^2 + 10*a^2 - 
   7*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 23*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   22*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4765] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 9*z^2 - 
   (6*z^2)/a^6 + (22*z^2)/a^4 - (25*z^2)/a^2 + 16*z^4 - (9*z^4)/a^6 + 
   (40*z^4)/a^4 - (50*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - 
   (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 4766] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 7*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 4767] -> 4 + a^(-4) - 3/a^2 - a^2 + 25*z^2 + 
   (6*z^2)/a^4 - (22*z^2)/a^2 - 9*a^2*z^2 + 50*z^4 + (9*z^4)/a^4 - 
   (40*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (33*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 4768] -> 
  2 + a^(-4) - 2/a^2 + 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4769] -> 2 - 9*a^2 + 15*a^4 - 7*a^6 + 9*z^2 - 
   40*a^2*z^2 + 58*a^4*z^2 - 21*a^6*z^2 + 12*z^4 - 60*a^2*z^4 + 87*a^4*z^4 - 
   27*a^6*z^4 + 6*z^6 - 43*a^2*z^6 + 71*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 4770] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 - 
   3*z^2 + (2*z^2)/a^2 - 12*a^2*z^2 + 29*a^4*z^2 - 11*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 29*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4771] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 4772] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 
   10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4773] -> 
  -8 - 2/a^8 + 7/a^6 - 11/a^4 + 12/a^2 + 3*a^2 - 26*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (25*z^2)/a^4 + (32*z^2)/a^2 + 8*a^2*z^2 - 32*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (34*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 4774] -> -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 
   6/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 - (18*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (24*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4775] -> 3/a^12 - 10/a^10 + 9/a^8 - 2/a^6 + a^(-4) + 
   (5*z^2)/a^12 - (26*z^2)/a^10 + (33*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (28*z^4)/a^10 + (45*z^4)/a^8 - (9*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (31*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 4776] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + (13*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4777] -> -2 - 2/a^8 + 6/a^6 - 5/a^4 + 2/a^2 + 2*a^2 - 
   8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4778] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (12*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 4779] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 
   2/a^4 - 2/a^2 + 2*z^2 - z^2/a^10 + (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (9*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4780] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 24*z^2 - 
   (5*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 28*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4781] -> 
  -8 - a^(-6) + 2/a^4 + 3/a^2 + 6*a^2 - a^4 - 17*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 15*z^4 - z^4/a^6 + (6*z^4)/a^4 + 
   2*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 4782] -> 
  -4*a^4 + 12*a^6 - 6*a^8 - 2*a^10 + a^12 - a^2*z^2 - 9*a^4*z^2 + 
   30*a^6*z^2 - 3*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   6*a^4*z^4 + 30*a^6*z^4 + 8*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   16*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 4783] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 2*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 + z^4 - z^4/a^2 + 
   12*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4784] -> -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 
   4*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4785] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 21*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4786] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 4787] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 4788] -> 11 + 2/a^6 - 6/a^4 - 6*a^2 + 27*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 - 13*a^2*z^2 + 29*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4789] -> 
  7 + a^(-6) - 2/a^4 - 3/a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 13*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4790] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 4791] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 
   30*z^2 + (7*z^2)/a^4 - (26*z^2)/a^2 - 10*a^2*z^2 + 51*z^4 + (9*z^4)/a^4 - 
   (41*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (33*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 4792] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 6*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4793] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - z^2 + z^2/a^2 - 
   9*a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   23*a^4*z^4 - 8*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4794] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 27*z^2 - 
   (7*z^2)/a^2 - 31*a^2*z^2 + 11*a^4*z^2 + 42*z^4 - (9*z^4)/a^2 - 
   54*a^2*z^4 + 17*a^4*z^4 + 33*z^6 - (5*z^6)/a^2 - 50*a^2*z^6 + 14*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 4795] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 6*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 12*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 4796] -> 18 + 3/a^4 - 13/a^2 - 7*a^2 + 52*z^2 + 
   (9*z^2)/a^4 - (39*z^2)/a^2 - 18*a^2*z^2 + 70*z^4 + (10*z^4)/a^4 - 
   (50*z^4)/a^2 - 21*a^2*z^4 + 56*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 4797] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 7*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4798] -> -7 + a^(-6) - 5/a^4 + 8/a^2 + 7*a^2 - 3*a^4 - 
   17*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4799] -> 
  -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 5*z^2 + 13*a^2*z^2 + 5*a^4*z^2 - 
   20*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 2*a^4*z^4 - 27*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 4800] -> 2 - a^(-2) + a^2 - 2*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4801] -> 1 - a^(-2) + 6*a^2 - 8*a^4 + 3*a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 20*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4802] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4803] -> 
  -1 + a^(-10) - 5/a^8 + 11/a^6 - 13/a^4 + 8/a^2 - 6*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (23*z^2)/a^6 - (33*z^2)/a^4 + (23*z^2)/a^2 - 8*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (34*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4804] -> 
  -1 + 2/a^8 - 8/a^6 + 8/a^4 - 5*z^2 + (4*z^2)/a^8 - (17*z^2)/a^6 + 
   (17*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (15*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 4805] -> 
  -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 8*a^2*z^2 + 11*a^4*z^2 - 
   20*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 5*a^4*z^4 - 25*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 4806] -> -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4807] -> -9 - a^(-8) + 5/a^6 - 9/a^4 + 11/a^2 + 
   4*a^2 - 20*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + 
   (25*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4808] -> 6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 13*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 8*a^2*z^2 + 15*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4809] -> 
  -4 + a^(-2) + 4*a^2 + 3*a^4 - 3*a^6 - 12*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 + 
   10*a^4*z^2 - 6*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 + 15*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4810] -> -3 + 11*a^2 - 13*a^4 + 9*a^6 - 3*a^8 - 
   9*z^2 + z^2/a^2 + 27*a^2*z^2 - 29*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4811] -> 
  4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + (12*z^2)/a^8 - (54*z^2)/a^6 + 
   (73*z^2)/a^4 - (25*z^2)/a^2 + (13*z^4)/a^8 - (69*z^4)/a^6 + 
   (101*z^4)/a^4 - (31*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + (77*z^6)/a^4 - 
   (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 4812] -> -1 + 3/a^8 - 12/a^6 + 13/a^4 - 2/a^2 - 
   6*z^2 + (6*z^2)/a^8 - (25*z^2)/a^6 + (26*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (23*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4813] -> 13 + 2/a^6 - 6/a^4 - a^(-2) - 7*a^2 + 
   35*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 - 17*a^2*z^2 + 40*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4814] -> 
  -5 - 2/a^6 + 5/a^4 - a^(-2) + 6*a^2 - 3*a^4 + a^6 - 11*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4815] -> -2/a^12 + 9/a^10 - 15/a^8 + 11/a^6 - 4/a^4 + 
   2/a^2 - (3*z^2)/a^12 + (18*z^2)/a^10 - (34*z^2)/a^8 + (29*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (33*z^4)/a^8 + 
   (30*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (17*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 4816] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4817] -> 
  -9 + 2/a^6 - 10/a^4 + 15/a^2 + 5*a^2 - 2*a^4 - 25*z^2 + (3*z^2)/a^6 - 
   (19*z^2)/a^4 + (35*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 28*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (34*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4818] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4819] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4820] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4821] -> 
  6 + a^(-6) - 4/a^4 + a^(-2) - 2*a^2 - a^4 + 11*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4822] -> -a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 
   4/a^4 + 3/a^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (19*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4823] -> -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (24*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4824] -> 
  -a^2 + 7*a^6 - 3*a^8 - 4*a^10 + 2*a^12 - 3*a^2*z^2 + 20*a^6*z^2 - 
   3*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 22*a^6*z^4 + 
   3*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 4825] -> 11 + 2/a^6 - 6/a^4 - 6*a^2 + 27*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 - 13*a^2*z^2 + 29*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4826] -> 
  7 + a^(-6) - 2/a^4 - 3/a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 13*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4827] -> -8 - a^(-4) + 4/a^2 + 13*a^2 - 10*a^4 + 
   3*a^6 - 22*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 31*a^2*z^2 - 23*a^4*z^2 + 
   6*a^6*z^2 - 24*z^4 - z^4/a^4 + (9*z^4)/a^2 + 33*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4828] -> 
  -a^2 + a^4 + 2*a^6 + 5*a^8 - 9*a^10 + 3*a^12 - 3*a^2*z^2 + 2*a^4*z^2 + 
   8*a^6*z^2 + 17*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 13*a^6*z^4 + 21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 4829] -> -1 + a^(-6) - 3/a^4 + 2/a^2 + 
   5*a^2 - 3*a^4 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4830] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 17*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 13*a^2*z^4 - 19*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4831] -> -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 
   2*a^2 - 17*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + 
   (28*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4832] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4833] -> 
  1 - a^(-2) + 5*a^2 - 7*a^4 + 4*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + 4*z^4 - z^4/a^2 + 7*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 10*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4834] -> 
  -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 8*a^2*z^2 + 11*a^4*z^2 - 
   20*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 5*a^4*z^4 - 25*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 4835] -> -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4836] -> -4 + a^(-2) + 4*a^2 + 3*a^4 - 3*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 4837] -> 
  6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 13*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (14*z^2)/a^2 - 8*a^2*z^2 + 15*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (18*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 4838] -> 
  -1 + 2/a^8 - 8/a^6 + 8/a^4 - 5*z^2 + (4*z^2)/a^8 - (17*z^2)/a^6 + 
   (17*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (15*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 4839] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   12*a^2*z^2 - a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 4840] -> -a^(-2) + 6*a^2 - 7*a^4 + 5*a^6 - 2*a^8 + 
   2*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4841] -> -a^(-12) + 5/a^10 - 9/a^8 + 8/a^6 - 5/a^4 + 
   3/a^2 - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (28*z^2)/a^6 - 
   (20*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (33*z^4)/a^6 - 
   (28*z^4)/a^4 + (7*z^4)/a^2 - (6*z^6)/a^8 + (18*z^6)/a^6 - (18*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4842] -> 1 - a^(-12) + 4/a^10 - 5/a^8 + 2/a^6 + 
   2*z^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^2 + 2*z^4 - 
   (6*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6 + (4*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 4843] -> 
  -8 + a^(-6) - 6/a^4 + 11/a^2 + 4*a^2 - a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4844] -> 
  2 - a^(-12) + 5/a^10 - 11/a^8 + 14/a^6 - 9/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + (31*z^2)/a^6 - (18*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (27*z^4)/a^6 - 
   (12*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4845] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 3/a^2 + a^2 - z^2 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 4846] -> 
  -2 + 2/a^10 - 5/a^8 - a^(-6) + 6/a^4 + a^(-2) - 5*z^2 + (3*z^2)/a^10 - 
   (14*z^2)/a^8 + (8*z^2)/a^6 + (10*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (18*z^4)/a^6 + (3*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4847] -> -4/a^18 + 19/a^16 - 28/a^14 + 10/a^12 + 
   4/a^10 - (4*z^2)/a^18 + (37*z^2)/a^16 - (84*z^2)/a^14 + (45*z^2)/a^12 + 
   (16*z^2)/a^10 - z^4/a^18 + (22*z^4)/a^16 - (89*z^4)/a^14 + (76*z^4)/a^12 + 
   (25*z^4)/a^10 + (4*z^6)/a^16 - (39*z^6)/a^14 + (60*z^6)/a^12 + 
   (19*z^6)/a^10 - (6*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 4848] -> 
  -2/a^18 + 9/a^16 - 11/a^14 + 3/a^10 + 2/a^8 - z^2/a^18 + (13*z^2)/a^16 - 
   (29*z^2)/a^14 + (5*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + 
   (4*z^4)/a^16 - (24*z^4)/a^14 + (14*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - (6*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4849] -> 
  -1 + 2/a^10 - 6/a^8 + 2/a^6 + 4/a^4 - 3*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (13*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (20*z^4)/a^6 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4850] -> 
  -2/a^18 + 10/a^16 - 14/a^14 + 2/a^12 + 4/a^10 + a^(-8) - z^2/a^18 + 
   (15*z^2)/a^16 - (39*z^2)/a^14 + (15*z^2)/a^12 + (16*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^4)/a^16 - (34*z^4)/a^14 + (29*z^4)/a^12 + 
   (25*z^4)/a^10 + (6*z^4)/a^8 - (9*z^6)/a^14 + (21*z^6)/a^12 + 
   (17*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 4851] -> -7 - a^(-6) + a^(-4) + 4/a^2 + 6*a^2 - 
   3*a^4 + a^6 - 16*z^2 - z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 4852] -> 3 + a^(-6) - 4/a^4 + 2/a^2 + 
   a^2 - 2*a^4 + 3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4853] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 
   7/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + 
   (26*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (23*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4854] -> -1 + 2/a^10 - 6/a^8 + 2/a^6 + 4/a^4 - 3*z^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4855] -> 
  -5 - a^(-8) + 4/a^6 - 9/a^4 + 11/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4856] -> 
  1 + a^(-10) - 2/a^8 - 3/a^6 + 6/a^4 - a^(-2) - a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 + (12*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4857] -> -2/a^18 + 9/a^16 - 11/a^14 + 3/a^10 + 2/a^8 - 
   z^2/a^18 + (13*z^2)/a^16 - (29*z^2)/a^14 + (5*z^2)/a^12 + (14*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^4)/a^16 - (24*z^4)/a^14 + (14*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 - (6*z^6)/a^14 + (12*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 4858] -> -a^(-18) + 4/a^16 - 3/a^14 - 4/a^12 + 
   3/a^10 + a^(-8) + a^(-6) + (4*z^2)/a^16 - (9*z^2)/a^14 - (5*z^2)/a^12 + 
   (10*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (6*z^4)/a^14 + (2*z^4)/a^12 + 
   (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 4859] -> 
  -6 - 2/a^8 + 6/a^6 - 7/a^4 + 7/a^2 + 3*a^2 - 22*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (22*z^2)/a^4 + (25*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 4860] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (5*z^2)/a^10 + z^2/a^8 + (9*z^2)/a^6 - z^2/a^4 + 
   z^4/a^12 - (5*z^4)/a^10 + (16*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4861] -> 
  -2/a^18 + 11/a^16 - 17/a^14 + 4/a^12 + 5/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (44*z^2)/a^14 + (17*z^2)/a^12 + (23*z^2)/a^10 + (5*z^4)/a^16 - 
   (36*z^4)/a^14 + (29*z^4)/a^12 + (36*z^4)/a^10 + (2*z^4)/a^8 - 
   (9*z^6)/a^14 + (21*z^6)/a^12 + (23*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4862] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^12 - (8*z^4)/a^10 + 
   (5*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 4863] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + z^2 - z^2/a^10 + (14*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   (7*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (15*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4864] -> -1 - 3*a^2 + 14*a^4 - 11*a^6 + 2*a^8 - 
   4*z^2 - 2*a^2*z^2 + 31*a^4*z^2 - 22*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 
   7*a^2*z^4 + 23*a^4*z^4 - 19*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 + 
   4*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 4865] -> 
  -3 + 5*a^2 + 3*a^4 - 5*a^6 + a^8 - 4*z^2 - z^2/a^2 + 12*a^2*z^2 + 
   5*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 + a^4*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4866] -> 
  -4 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 6/a^2 + 2*a^2 - 9*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (6*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 4867] -> -2/a^18 + 10/a^16 - 14/a^14 + 2/a^12 + 
   4/a^10 + a^(-8) - z^2/a^18 + (15*z^2)/a^16 - (39*z^2)/a^14 + 
   (15*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (29*z^4)/a^12 + (25*z^4)/a^10 + (6*z^4)/a^8 - 
   (9*z^6)/a^14 + (21*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4868] -> 
  -5 - a^(-10) + 2/a^8 - 2/a^4 + 4/a^2 + 3*a^2 - 12*z^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 4869] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 6/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (14*z^2)/a^14 - (6*z^2)/a^12 + (19*z^2)/a^10 + (6*z^2)/a^8 - 
   (9*z^4)/a^14 + (4*z^4)/a^12 + (22*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + 
   (5*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 4870] -> -2/a^18 + 9/a^16 - 10/a^14 - 4/a^12 + 
   8/a^10 - z^2/a^18 + (14*z^2)/a^16 - (30*z^2)/a^14 - (3*z^2)/a^12 + 
   (29*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (28*z^4)/a^14 + (10*z^4)/a^12 + 
   (39*z^4)/a^10 + (3*z^4)/a^8 - (8*z^6)/a^14 + (13*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + (4*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 4871] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 4/a^6 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (6*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (17*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4872] -> -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 
   6/a^10 + a^(-8) + (6*z^2)/a^16 - (16*z^2)/a^14 - (6*z^2)/a^12 + 
   (21*z^2)/a^10 + (5*z^2)/a^8 - (11*z^4)/a^14 + (5*z^4)/a^12 + 
   (24*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + (6*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 4873] -> 
  -2 + a^(-10) - 6/a^8 + 14/a^6 - 17/a^4 + 11/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (14*z^2)/a^8 + (34*z^2)/a^6 - (39*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (32*z^4)/a^6 - (37*z^4)/a^4 + (21*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4874] -> 5 + a^(-10) - 5/a^8 + 8/a^6 - 3/a^4 - 4/a^2 - 
   a^2 + 8*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 - 
   (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 4875] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   5*a^6*z^2 - 4*z^4 + 17*a^2*z^4 - 13*a^4*z^4 - 3*a^6*z^4 + 4*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 4876] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4877] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 4878] -> -2 + 4*a^2 + 3*a^4 - 6*a^6 + 
   2*a^8 - 5*z^2 + 12*a^2*z^2 + 4*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 
   15*a^2*z^4 - a^4*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 4879] -> 
  -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 10*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 
   15*a^4*z^2 - 7*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 17*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4880] -> 19 + 4/a^4 - 15/a^2 - 7*a^2 + 59*z^2 + 
   (12*z^2)/a^4 - (48*z^2)/a^2 - 20*a^2*z^2 + 85*z^4 + (13*z^4)/a^4 - 
   (64*z^4)/a^2 - 26*a^2*z^4 + 70*z^6 + (6*z^6)/a^4 - (44*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 4881] -> 
  10 + a^(-6) - a^(-4) - 5/a^2 - 4*a^2 + 25*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 10*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4882] -> -4 + a^(-4) - a^(-2) + 9*a^2 - 4*a^4 - 
   4*z^2 + (4*z^2)/a^4 - (10*z^2)/a^2 + 21*a^2*z^2 - 9*a^4*z^2 + 4*z^4 + 
   (4*z^4)/a^4 - (16*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 8*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 4883] -> 
  3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 7*z^2 + z^2/a^6 - (9*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 4884] -> 
  -4 - a^(-8) + 5/a^6 - 10/a^4 + 10/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4885] -> 
  -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4886] -> 
  2 + a^(-6) - 3/a^4 + a^(-2) + 2*a^2 - 2*a^4 - 2*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4887] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 4888] -> 
  11 + a^(-6) - 2/a^4 - 4/a^2 - 5*a^2 + 24*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   (5*z^2)/a^2 - 10*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4889] -> 6 + a^(-6) - 4/a^4 + a^(-2) - 2*a^2 - a^4 + 
   11*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4890] -> 
  -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (26*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (39*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4891] -> -3 - a^(-6) + 4/a^2 + a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (14*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + 
   (12*z^6)/a^4 - (17*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (10*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 4892] -> -3/a^14 + 13/a^12 - 19/a^10 + 8/a^8 + 2/a^6 - 
   (7*z^2)/a^14 + (35*z^2)/a^12 - (53*z^2)/a^10 + (22*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^4)/a^14 + (38*z^4)/a^12 - (62*z^4)/a^10 + 
   (17*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (40*z^6)/a^10 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 4893] -> 
  -2/a^10 + 6/a^8 - 7/a^6 + 3/a^4 + a^(-2) - (5*z^2)/a^10 + (22*z^2)/a^8 - 
   (24*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (38*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 4894] -> 
  -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 8*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4895] -> 
  -5 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + a^4 - 7*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4896] -> -1 + 2/a^10 - 7/a^8 + 6/a^6 - a^(-4) + 
   2/a^2 - 3*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (21*z^4)/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 4897] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (9*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (12*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4898] -> -2/a^18 + 11/a^16 - 18/a^14 + 7/a^12 + 
   2/a^10 + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (45*z^2)/a^14 + 
   (24*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (36*z^4)/a^14 + (34*z^4)/a^12 + (24*z^4)/a^10 + (6*z^4)/a^8 - 
   (9*z^6)/a^14 + (22*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4899] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + (4*z^2)/a^12 - (17*z^2)/a^10 + 
   (12*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + 
   (33*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 4900] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 4901] -> 1 - a^(-10) + a^(-8) + 4/a^6 - 7/a^4 + 
   3/a^2 + 2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - (17*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4902] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4903] -> 
  -2/a^14 + 7/a^12 - 7/a^10 - a^(-8) + 3/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (13*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (13*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4904] -> 9 - a^(-4) - a^(-2) - 8*a^2 + a^4 + a^6 + 
   6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 10*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   8*z^4 - z^4/a^4 + (8*z^4)/a^2 - 8*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4905] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (10*z^2)/a^8 + (4*z^2)/a^6 + z^4/a^12 - (8*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4906] -> -2 + a^2 + 8*a^4 - 7*a^6 + a^8 - 3*z^2 - 
   z^2/a^2 + 5*a^2*z^2 + 15*a^4*z^2 - 10*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 
   7*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4907] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   4*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 4908] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4909] -> -2 - a^(-8) + 2/a^6 + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4910] -> 
  -2 + 5/a^8 - 19/a^6 + 20/a^4 - 3/a^2 - 6*z^2 + (9*z^2)/a^8 - (46*z^2)/a^6 + 
   (58*z^2)/a^4 - (8*z^2)/a^2 - 7*z^4 + (5*z^4)/a^8 - (43*z^4)/a^6 + 
   (69*z^4)/a^4 - (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (18*z^6)/a^6 + 
   (43*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 4911] -> 
  2/a^10 - 5/a^8 - 2/a^6 + 10/a^4 - 4/a^2 - z^2 + (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (2*z^2)/a^6 + (24*z^2)/a^4 - (9*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + (24*z^4)/a^4 - (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 4912] -> 
  -1 + 4/a^8 - 16/a^6 + 18/a^4 - 4/a^2 - 4*z^2 + (6*z^2)/a^8 - (33*z^2)/a^6 + 
   (44*z^2)/a^4 - (7*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (49*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + (32*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 4913] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 4914] -> 2 - a^(-12) + 4/a^10 - 7/a^8 + 9/a^6 - 
   7/a^4 + a^(-2) + 3*z^2 + (5*z^2)/a^10 - (15*z^2)/a^8 + (21*z^2)/a^6 - 
   (15*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (14*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (7*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4915] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (10*z^2)/a^4 - z^2/a^2 + a^2*z^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (9*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 4916] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 10*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 4917] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - (16*z^4)/a^4 + 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4918] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 4/a^4 - a^(-2) + a^2 - z^2 + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^2 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 4919] -> 
  -3 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + a^4 - 4*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (23*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4920] -> -2/a^18 + 10/a^16 - 15/a^14 + 5/a^12 + 
   a^(-10) + 2/a^8 - z^2/a^18 + (15*z^2)/a^16 - (39*z^2)/a^14 + 
   (19*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + (5*z^4)/a^16 - 
   (32*z^4)/a^14 + (28*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^6)/a^14 + (18*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 4921] -> 
  3 - a^(-4) + a^(-2) - 4*a^2 + 3*a^4 - a^6 + 3*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 2*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   16*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 11*a^2*z^6 - 
   a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 4922] -> 10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 31*z^2 + 
   (4*z^2)/a^4 - (23*z^2)/a^2 - 6*a^4*z^2 + 44*z^4 + (4*z^4)/a^4 - 
   (29*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 33*z^6 + z^6/a^4 - (16*z^6)/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 4923] -> 
  1 + a^(-6) - 5/a^4 + 5/a^2 - a^4 + 8*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^4*z^2 + 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 4924] -> 
  -3 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + a^4 - 4*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (23*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4925] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4926] -> -a^(-18) + 5/a^16 - 7/a^14 + a^(-12) + 
   a^(-10) + a^(-8) + a^(-6) + (5*z^2)/a^16 - (15*z^2)/a^14 + (4*z^2)/a^12 + 
   (7*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^14 + (7*z^4)/a^12 + 
   (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 4927] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (5*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 4928] -> 
  -a^(-18) + 6/a^16 - 9/a^14 + 4/a^10 + a^(-8) + (6*z^2)/a^16 - 
   (20*z^2)/a^14 + (4*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   (11*z^4)/a^14 + (10*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 4929] -> -2 + 2/a^8 - 9/a^6 + 9/a^4 + a^(-2) - 7*z^2 + 
   (5*z^2)/a^8 - (26*z^2)/a^6 + (31*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (45*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4930] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + 
   (14*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 4931] -> -5 - 3/a^4 + 8/a^2 + a^4 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 7*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 4932] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 3*a^2 + a^4 - 
   a^6 - 12*z^2 + (7*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 11*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 4933] -> 2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - a^(-2) + 
   z^2/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 - z^4/a^8 + (19*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4934] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^2 - 5*a^4*z^4 + a^6*z^4 + 
   a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 4935] -> 
  2 - a^(-2) + a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 5*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 9*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*z^4 - 
   z^4/a^2 - 10*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 4936] -> -2 + 2/a^10 - 9/a^8 + 15/a^6 - 14/a^4 + 
   9/a^2 - 5*z^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (36*z^2)/a^6 - 
   (34*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + z^4/a^10 - (13*z^4)/a^8 + 
   (34*z^4)/a^6 - (34*z^4)/a^4 + (20*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (16*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4937] -> 
  3 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 - a^(-2) - a^2 + 6*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4938] -> -12 + a^(-6) - 6/a^4 + 13/a^2 + 6*a^2 - a^4 - 
   28*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (33*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (36*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4939] -> 1 - a^(-2) + 6*a^2 - 11*a^4 + 9*a^6 - 3*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 24*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 + 2*z^6 + a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4940] -> -1 + 2/a^10 - 8/a^8 + 10/a^6 - 6/a^4 + 
   4/a^2 - 3*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 4941] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 - 4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (14*z^2)/a^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4942] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 + z^2/a^10 - (14*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + 
   (19*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4943] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4944] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 - 
   z^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + (34*z^2)/a^6 - (28*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*z^4 + z^4/a^10 - (12*z^4)/a^8 + (32*z^4)/a^6 - 
   (33*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (19*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 4945] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (15*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4946] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 4947] -> 
  3 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + a^(-2) - a^2 + 6*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4948] -> -11 - a^(-4) + 5/a^2 + 14*a^2 - 7*a^4 + a^6 - 
   28*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 33*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 28*z^4 - z^4/a^4 + (10*z^4)/a^2 + 34*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 4949] -> 
  -9 + 2/a^6 - 9/a^4 + 14/a^2 + 4*a^2 - a^4 - 24*z^2 + (4*z^2)/a^6 - 
   (20*z^2)/a^4 + (34*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 25*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4950] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4951] -> -2 + 7*a^2 - 5*a^4 + a^6 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 4952] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (21*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4953] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4954] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 24*a^2*z^2 - 9*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4955] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4956] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (18*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (24*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4957] -> -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 4958] -> 
  -a^(-4) + 2/a^2 + 6*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (15*z^2)/a^2 + 
   15*z^4 - (8*z^4)/a^6 + (35*z^4)/a^4 - (44*z^4)/a^2 + 14*z^6 - 
   (5*z^6)/a^6 + (32*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 4959] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - 
   a^2 + 3*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 4960] -> 
  14 + 3/a^4 - 11/a^2 - 5*a^2 + 44*z^2 + (9*z^2)/a^4 - (36*z^2)/a^2 - 
   15*a^2*z^2 + 65*z^4 + (10*z^4)/a^4 - (49*z^4)/a^2 - 20*a^2*z^4 + 55*z^6 + 
   (5*z^6)/a^4 - (35*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 4961] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4962] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 + z^2/a^8 + z^2/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4963] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 4964] -> 
  -3 + a^(-2) + 8*a^4 - 5*a^6 - 10*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   20*a^4*z^2 - 9*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 + 21*a^4*z^4 - 
   8*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 4965] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4966] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (7*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4967] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (12*z^2)/a^8 - (10*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (11*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 4968] -> -8 - a^(-8) + 4/a^6 - 6/a^4 + 8/a^2 + 4*a^2 - 
   18*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4969] -> 2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 2/a^6 + 
   a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (20*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (28*z^4)/a^8 + 
   (15*z^4)/a^6 - z^4/a^4 + (6*z^6)/a^10 - (18*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 4970] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-6) + 2/a^4 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 - (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^4)/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^8 - 
   z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4971] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^2 - a^4 + 
   a^6 - 12*z^2 - z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 4972] -> 8 + a^(-6) - 3/a^4 - 2/a^2 - 
   a^2 - 2*a^4 + 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4973] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (11*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 4974] -> a^(-12) - 2/a^10 - 3/a^8 + 
   6/a^6 - a^(-4) + z^2/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (19*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + 
   (23*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4975] -> -1 + a^(-10) - 2/a^8 - 3/a^6 + 6/a^4 - 
   3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (12*z^2)/a^4 + z^2/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (10*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 4976] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4977] -> 
  -a^(-8) + a^(-6) + 4/a^4 - 5/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 4978] -> -2 - a^(-8) + a^(-6) + 3/a^4 - 
   2/a^2 + a^2 + a^4 - 4*z^2 - z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 4979] -> -1 + 3/a^8 - 12/a^6 + 13/a^4 - 
   2/a^2 - 5*z^2 + (6*z^2)/a^8 - (30*z^2)/a^6 + (37*z^2)/a^4 - (3*z^2)/a^2 - 
   7*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (46*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (32*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 4980] -> -2/a^14 + 8/a^12 - 10/a^10 + a^(-8) + 4/a^6 - 
   (2*z^2)/a^14 + (11*z^2)/a^12 - (13*z^2)/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - 
   (14*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 4981] -> -1 - a^(-8) + 2/a^6 + a^4 - 4*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 4982] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4983] -> 1 - a^(-12) + 3/a^10 - 2/a^8 + a^(-6) - 
   3/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 4984] -> -12 + a^(-6) - 6/a^4 + 13/a^2 + 6*a^2 - a^4 - 
   28*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4985] -> 
  -a^2 + a^4 + 3*a^6 + a^8 - 4*a^10 + a^12 - 3*a^2*z^2 + a^4*z^2 + 
   13*a^6*z^2 + 8*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   17*a^6*z^4 + 15*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   11*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 4986] -> -12 + a^(-6) - 6/a^4 + 13/a^2 + 6*a^2 - a^4 - 
   28*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (33*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (36*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 4987] -> 3 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 
   a^(-2) - a^2 + 6*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - 
   (16*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (15*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 4988] -> 
  -9 + 2/a^6 - 9/a^4 + 14/a^2 + 4*a^2 - a^4 - 24*z^2 + (4*z^2)/a^6 - 
   (20*z^2)/a^4 + (34*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 25*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 4989] -> 
  -1 + a^(-10) - 4/a^8 + 7/a^6 - 8/a^4 + 6/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 4990] -> -2 + 7*a^2 - 5*a^4 + a^6 - 13*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4991] -> -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 
   13*a^2*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 2*a^4*z^4 - 
   14*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 4992] -> 2 - a^(-2) + a^4 - a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 4993] -> -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4994] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 17*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (21*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 4995] -> -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 
   2*a^4 - 20*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 4996] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 6*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 4997] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 44*z^2 + 
   (9*z^2)/a^4 - (36*z^2)/a^2 - 16*a^2*z^2 + 78*z^4 + (12*z^4)/a^4 - 
   (58*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 4998] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 21*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (11*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 4999] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5000] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5001] -> -2 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5002] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 - 
   z^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (26*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (32*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5003] -> 
  -1 + a^(-8) - 4/a^6 + 4/a^4 + 2*a^2 - a^4 - 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 5004] -> -a^(-16) + 6/a^14 - 12/a^12 + 
   10/a^10 - 5/a^8 + 2/a^6 + a^(-4) + (5*z^2)/a^14 - (22*z^2)/a^12 + 
   (29*z^2)/a^10 - (15*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + 
   (28*z^4)/a^10 - (18*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^6)/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5005] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 
   4*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5006] -> 
  -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^2 - a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5007] -> -4 + 2/a^6 - 9/a^4 + 11/a^2 + 3*a^2 - 2*a^4 - 
   11*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 + 11*a^2*z^2 - 
   5*a^4*z^2 - 14*z^4 + z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5008] -> 
  1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 - z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (17*z^4)/a^6 - (24*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5009] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5010] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 20*z^2 + (4*z^2)/a^2 + 31*a^2*z^2 - 
   12*a^4*z^2 - 22*z^4 + (4*z^4)/a^2 + 31*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 17*a^2*z^6 + 7*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5011] -> -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   9*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 5012] -> -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5013] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5014] -> -13 + a^(-6) - 6/a^4 + 13/a^2 + 
   8*a^2 - 2*a^4 - 30*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 28*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5015] -> 3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5016] -> -2 + a^(-10) - 5/a^8 + 10/a^6 - 12/a^4 + 
   9/a^2 - 7*z^2 + z^2/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - (31*z^2)/a^4 + 
   (25*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + 
   (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5017] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 15*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 
   9*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5018] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 6*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5019] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 10*z^4 + 
   (4*z^4)/a^4 - (17*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 5020] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 5021] -> -4 + a^(-2) + 4*a^2 + 3*a^4 - 
   3*a^6 - 15*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - 
   18*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 + 20*a^4*z^4 - 9*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5022] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 7*z^2 + z^2/a^4 - z^2/a^2 + 
   10*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 5023] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (26*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 5024] -> -6 - 2/a^8 + 7/a^6 - 10/a^4 + 10/a^2 + a^2 + 
   a^4 - 15*z^2 - z^2/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + (25*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 11*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (25*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (13*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 5025] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 
   5/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5026] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5027] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5028] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (4*z^2)/a^12 - (18*z^2)/a^10 + (22*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (39*z^4)/a^8 - (9*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (30*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 5029] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (21*z^4)/a^4 - (5*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (20*z^6)/a^4 + z^6/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5030] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^10 - z^2/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   (13*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (19*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 5031] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^4 + z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5032] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - z^2/a^6 + (5*z^2)/a^2 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (14*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^6 + (13*z^6)/a^4 - 
   (21*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 5033] -> 
  -2 - 3/a^4 + 6/a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 5034] -> 
  -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 + (4*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5035] -> 
  -4*a^4 + 11*a^6 - 3*a^8 - 5*a^10 + 2*a^12 - 12*a^4*z^2 + 27*a^6*z^2 + 
   12*a^8*z^2 - 23*a^10*z^2 + 5*a^12*z^2 - 13*a^4*z^4 + 27*a^6*z^4 + 
   35*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 
   32*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 5036] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5037] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5038] -> -9 - a^(-8) + 5/a^6 - 11/a^4 + 14/a^2 + 
   3*a^2 - 19*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + 
   (31*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5039] -> 
  -4 - a^(-6) + 3/a^4 - a^(-2) + 8*a^2 - 6*a^4 + 2*a^6 - 9*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 5040] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 5041] -> -2 + 4*a^2 + 3*a^4 - 6*a^6 + 
   2*a^8 - 5*z^2 + 12*a^2*z^2 + 4*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 
   15*a^2*z^4 - a^4*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5042] -> 
  -12 - a^(-8) + 5/a^6 - 12/a^4 + 17/a^2 + 4*a^2 - 27*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (30*z^2)/a^4 + (40*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (29*z^4)/a^4 + (39*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5043] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*a^2 + 2*a^4 + 6*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5044] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 5045] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   13*z^2 - z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 5046] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5047] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (22*z^2)/a^4 - (7*z^2)/a^2 + (8*z^4)/a^8 - (37*z^4)/a^6 + (48*z^4)/a^4 - 
   (16*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + (49*z^6)/a^4 - (14*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 5048] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) - 3*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 5049] -> 23 + 4/a^4 - 17/a^2 - 9*a^2 + 
   71*z^2 + (12*z^2)/a^4 - (53*z^2)/a^2 - 25*a^2*z^2 + 98*z^4 + 
   (13*z^4)/a^4 - (68*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - 
   (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 5050] -> 
  6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 12*z^2 + (5*z^2)/a^4 - (18*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 13*z^4 + (4*z^4)/a^4 - (19*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 5051] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 10*z^2 - 
   z^2/a^4 - 14*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 + 5*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 9*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5052] -> -9 - a^(-6) + 2/a^4 + 3/a^2 + 10*a^2 - 
   6*a^4 + 2*a^6 - 19*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   21*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 5053] -> 
  -a^2 + a^4 + 2*a^6 + 5*a^8 - 9*a^10 + 3*a^12 - 3*a^2*z^2 + 2*a^4*z^2 + 
   8*a^6*z^2 + 17*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 13*a^6*z^4 + 21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 5054] -> -1 + a^(-6) - 3/a^4 + 2/a^2 + 
   5*a^2 - 3*a^4 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5055] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5056] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 2*z^2 - z^2/a^2 + 17*a^2*z^2 - 
   17*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 
   19*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 5057] -> 
  -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (24*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5058] -> 
  -8 - a^(-4) + 4/a^2 + 13*a^2 - 10*a^4 + 3*a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 31*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 33*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5059] -> 5/a^8 - 21/a^6 + 26/a^4 - 9/a^2 + 
   (13*z^2)/a^8 - (60*z^2)/a^6 + (82*z^2)/a^4 - (28*z^2)/a^2 + (13*z^4)/a^8 - 
   (73*z^4)/a^6 + (110*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + 
   (82*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 5060] -> -3 + 3/a^8 - 11/a^6 + 9/a^4 + 3/a^2 - 9*z^2 + 
   (6*z^2)/a^8 - (24*z^2)/a^6 + (20*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (19*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5061] -> -3*a^4 + 7*a^6 + 3*a^8 - 9*a^10 + 3*a^12 - 
   a^2*z^2 - 7*a^4*z^2 + 21*a^6*z^2 + 11*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 25*a^6*z^4 + 15*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 5062] -> -4 + 2/a^8 - 6/a^6 + a^(-4) + 
   8/a^2 - 11*z^2 + (4*z^2)/a^8 - (13*z^2)/a^6 + z^2/a^4 + (24*z^2)/a^2 - 
   11*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + (3*z^4)/a^4 + (29*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5063] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   a^(-2) - a^2 + a^4 + 2*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 5064] -> a^(-14) - 5/a^12 + 10/a^10 - 10/a^8 + 3/a^6 + 
   2/a^4 - (5*z^2)/a^12 + (19*z^2)/a^10 - (25*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 + (10*z^4)/a^10 - (24*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - (9*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5065] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 19*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5066] -> 
  -8 - 2/a^8 + 7/a^6 - 11/a^4 + 12/a^2 + 3*a^2 - 26*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (25*z^2)/a^4 + (32*z^2)/a^2 + 8*a^2*z^2 - 32*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (34*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 5067] -> -4*a^4 + 10*a^6 + a^8 - 10*a^10 + 
   4*a^12 - 12*a^4*z^2 + 25*a^6*z^2 + 20*a^8*z^2 - 33*a^10*z^2 + 8*a^12*z^2 - 
   13*a^4*z^4 + 26*a^6*z^4 + 40*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 16*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 5068] -> -13 - 2/a^4 + 8/a^2 + 15*a^2 - 10*a^4 + 
   3*a^6 - 32*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 36*a^2*z^2 - 24*a^4*z^2 + 
   6*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5069] -> 
  -15 + a^(-6) - 5/a^4 + 11/a^2 + 14*a^2 - 5*a^4 - 38*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (29*z^2)/a^2 + 29*a^2*z^2 - 7*a^4*z^2 - 38*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5070] -> 
  -7 + a^(-6) - 5/a^4 + 8/a^2 + 7*a^2 - 3*a^4 - 17*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (19*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5071] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 5*a^4 + 2*a^6 - z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5072] -> -9 - a^(-6) + 2/a^4 + 3/a^2 + 10*a^2 - 
   6*a^4 + 2*a^6 - 19*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   21*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 5073] -> 
  -8 + 2/a^2 + 9*a^2 + a^4 - 3*a^6 - 20*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 + 
   9*a^4*z^2 - 7*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 + 14*a^4*z^4 - 
   7*a^6*z^4 - 10*z^6 + z^6/a^2 + 12*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5074] -> -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 5*z^2 + 
   13*a^2*z^2 + 5*a^4*z^2 - 20*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   2*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5075] -> 
  6 + a^(-4) - 4/a^2 - 6*a^2 + 8*a^4 - 4*a^6 + 10*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 8*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 7*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 5076] -> 2 - a^(-2) + a^2 - 2*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5077] -> 1 - a^(-2) + 6*a^2 - 8*a^4 + 3*a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 20*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5078] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 - 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5079] -> 
  -1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 2/a^2 + a^2 - 5*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 + (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 5080] -> -a^(-18) + 4/a^16 - a^(-14) - 
   10/a^12 + 8/a^10 + a^(-8) - z^2/a^18 + (9*z^2)/a^16 - (14*z^2)/a^14 - 
   (16*z^2)/a^12 + (27*z^2)/a^10 + (4*z^2)/a^8 + (4*z^4)/a^16 - 
   (18*z^4)/a^14 - z^4/a^12 + (34*z^4)/a^10 + (6*z^4)/a^8 - (6*z^6)/a^14 + 
   (8*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 5081] -> 1 - a^(-12) + 4/a^10 - 8/a^8 + 
   11/a^6 - 9/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + 
   (25*z^2)/a^6 - (20*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (22*z^4)/a^6 - (16*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5082] -> -3 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 
   5/a^2 + a^4 - 3*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^8/a^2, Knot[15, Alternating, 5083] -> 
  1 + 2/a^6 - 8/a^4 + 7/a^2 + a^2 - 2*a^4 + 2*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 - z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 5*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5084] -> 
  -6 - a^(-10) + 2/a^8 + 2/a^6 - 8/a^4 + 10/a^2 + a^2 + a^4 - 11*z^2 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 4*z^4 - (6*z^4)/a^6 - (4*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 + (3*z^6)/a^4 + (7*z^6)/a^2, Knot[15, Alternating, 5085] -> 
  8 + a^(-8) - 4/a^6 + 5/a^4 - 6/a^2 - 2*a^2 - a^4 + 13*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 5086] -> a^(-14) - 4/a^12 + 6/a^10 - 4/a^8 - a^(-6) + 
   3/a^4 - (5*z^2)/a^12 + (16*z^2)/a^10 - (17*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (10*z^4)/a^10 - (21*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^2 - 
   (9*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5087] -> -5 - a^(-8) + 4/a^6 - 9/a^4 + 11/a^2 + a^2 - 
   20*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 
   27*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 5088] -> 1 - a^(-12) + 4/a^10 - 8/a^8 + 
   11/a^6 - 9/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^10 - (17*z^2)/a^8 + 
   (28*z^2)/a^6 - (22*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - (10*z^4)/a^8 + 
   (25*z^4)/a^6 - (23*z^4)/a^4 + z^6 + (9*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5089] -> 
  1 - a^(-4) + a^(-2) + 2*a^2 - 3*a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5090] -> -7 - a^(-6) + a^(-4) + 4/a^2 + 
   6*a^2 - 3*a^4 + a^6 - 16*z^2 - z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 5091] -> 
  -a^(-16) + 6/a^14 - 13/a^12 + 12/a^10 - 6/a^8 + 2/a^6 + a^(-4) + 
   (5*z^2)/a^14 - (23*z^2)/a^12 + (32*z^2)/a^10 - (16*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + (29*z^4)/a^10 - (18*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 5092] -> 
  3 + a^(-6) - 4/a^4 + 2/a^2 + a^2 - 2*a^4 + 3*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 6*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5093] -> 
  -3 + a^(-10) - 4/a^8 + 6/a^6 - 8/a^4 + 9/a^2 - 8*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 - 8*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (31*z^4)/a^4 + (31*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5094] -> 
  -5 - a^(-8) + 4/a^6 - 9/a^4 + 11/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5095] -> 
  -4 + a^(-10) - 3/a^8 + 3/a^6 - 6/a^4 + 10/a^2 - 10*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + (29*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (28*z^4)/a^4 + (34*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5096] -> 
  -2*a^2 + 4*a^4 + a^6 + a^8 - 5*a^10 + 2*a^12 - 5*a^2*z^2 + 8*a^4*z^2 + 
   8*a^6*z^2 + 6*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   12*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   8*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 5097] -> -12 + a^(-6) - 6/a^4 + 13/a^2 + 6*a^2 - a^4 - 
   28*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5098] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   13*a^2*z^2 - 2*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5099] -> -9 - a^(-8) + 5/a^6 - 11/a^4 + 14/a^2 + 
   3*a^2 - 19*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + 
   (31*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5100] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 15*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 7*a^4*z^4 - 8*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5101] -> -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 
   2*a^2 - 22*z^2 - z^2/a^8 + (8*z^2)/a^6 - (24*z^2)/a^4 + (34*z^2)/a^2 + 
   5*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 5102] -> 
  -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 19*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5103] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 21*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5104] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 15*a^2*z^4 + 
   7*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5105] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 2*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 + z^4 - z^4/a^2 + 
   12*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5106] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5107] -> 
  -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 5*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + 
   (9*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (10*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 5108] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 6*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 5109] -> -8 + 2/a^2 + 9*a^2 + a^4 - 
   3*a^6 - 13*z^2 + z^2/a^4 + 20*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 8*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 20*a^2*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 5110] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 27*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5111] -> 
  -2 + 5*a^2 - a^4 - a^6 - z^2 - z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 + 
   2*z^4 - z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5112] -> -a^(-12) + 5/a^10 - 9/a^8 + 8/a^6 - 5/a^4 + 
   3/a^2 - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (28*z^2)/a^6 - 
   (20*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (33*z^4)/a^6 - 
   (28*z^4)/a^4 + (7*z^4)/a^2 - (6*z^6)/a^8 + (18*z^6)/a^6 - (18*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 5113] -> 1 - a^(-12) + 4/a^10 - 5/a^8 + 2/a^6 + 
   2*z^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^2 + 2*z^4 - 
   (6*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6 + (4*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 5114] -> 
  1 - a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 7/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^10 - (19*z^2)/a^8 + (29*z^2)/a^6 - (20*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - (10*z^4)/a^8 + (26*z^4)/a^6 - (22*z^4)/a^4 + z^6 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5115] -> 2 - a^(-12) + 5/a^10 - 11/a^8 + 14/a^6 - 
   9/a^4 + a^(-2) + 3*z^2 - z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + 
   (31*z^2)/a^6 - (18*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (27*z^4)/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5116] -> 13 + a^(-6) - 2/a^4 - 6/a^2 - 3*a^2 - 2*a^4 + 
   23*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 - a^2*z^2 - 5*a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5117] -> 
  4 + 2/a^6 - 8/a^4 + 6/a^2 - 2*a^2 - a^4 + 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 5118] -> 
  -3/a^18 + 16/a^16 - 26/a^14 + 11/a^12 + 3/a^10 - (4*z^2)/a^18 + 
   (35*z^2)/a^16 - (84*z^2)/a^14 + (51*z^2)/a^12 + (13*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (91*z^4)/a^14 + (85*z^4)/a^12 + (22*z^4)/a^10 + 
   (4*z^6)/a^16 - (40*z^6)/a^14 + (65*z^6)/a^12 + (18*z^6)/a^10 - 
   (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 5119] -> -2/a^18 + 10/a^16 - 14/a^14 + 2/a^12 + 
   4/a^10 + a^(-8) - z^2/a^18 + (13*z^2)/a^16 - (31*z^2)/a^14 + 
   (5*z^2)/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 + (4*z^4)/a^16 - 
   (24*z^4)/a^14 + (12*z^4)/a^12 + (31*z^4)/a^10 + (6*z^4)/a^8 - 
   (6*z^6)/a^14 + (11*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 5120] -> 
  1 - a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 7/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (20*z^2)/a^8 + (26*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (23*z^4)/a^6 - (15*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5121] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 3*z^2 - z^2/a^2 + 9*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + z^4 - z^4/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + a^8*z^4 + 
   2*z^6 + 3*a^2*z^6 - 7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5122] -> 1 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 + 
   a^(-4) - 3/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5123] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 + 
   5*a^2*z^2 + 17*a^4*z^2 - 12*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 
   15*a^4*z^4 - 15*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 + 2*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5124] -> 
  -a^(-18) + 4/a^16 - 2/a^14 - 7/a^12 + 5/a^10 + 2/a^8 - z^2/a^18 + 
   (9*z^2)/a^16 - (16*z^2)/a^14 - (8*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^4)/a^16 - (19*z^4)/a^14 + (6*z^4)/a^12 + 
   (24*z^4)/a^10 + (9*z^4)/a^8 - (6*z^6)/a^14 + (10*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 5125] -> -6 - a^(-8) + 3/a^6 - 5/a^4 + 8/a^2 + a^2 + 
   a^4 - 14*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 10*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (22*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 5126] -> a^(-14) - 4/a^12 + 7/a^10 - 
   8/a^8 + 4/a^6 + a^(-4) - (5*z^2)/a^12 + (17*z^2)/a^10 - (24*z^2)/a^8 + 
   (15*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + (10*z^4)/a^10 - (24*z^4)/a^8 + 
   (18*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (9*z^6)/a^8 + (10*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5127] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (18*z^2)/a^8 + (21*z^2)/a^6 - (12*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (21*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 5128] -> -2 + a^2 + 8*a^4 - 6*a^6 - a^8 + 
   a^10 - 5*z^2 + 5*a^2*z^2 + 17*a^4*z^2 - 10*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 10*a^2*z^4 + 12*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 
   8*a^2*z^6 + a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 
   4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5129] -> 
  1 - a^(-2) - a^2 + 8*a^4 - 8*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 17*a^4*z^2 - 14*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 - 
   a^2*z^4 + 12*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5130] -> 2 - a^(-2) - 4*a^2 + 10*a^4 - 7*a^6 + a^8 + 
   3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 15*a^4*z^2 - 10*a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5131] -> -a^(-18) + 5/a^16 - 8/a^14 + 5/a^12 - 
   4/a^10 + 3/a^8 + a^(-6) + (4*z^2)/a^16 - (13*z^2)/a^14 + (8*z^2)/a^12 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - (6*z^4)/a^14 + (7*z^4)/a^12 + 
   (4*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 5132] -> 
  2 - a^(-2) + a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - a^4*z^2 + a^6*z^2 + 5*z^4 - 
   z^4/a^2 - 5*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5133] -> 2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 - z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 
   7*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5134] -> 
  -2 + 2/a^10 - 9/a^8 + 15/a^6 - 14/a^4 + 9/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (18*z^2)/a^8 + (36*z^2)/a^6 - (34*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (34*z^4)/a^6 - (34*z^4)/a^4 + (20*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 5135] -> -1 + 2/a^10 - 8/a^8 + 10/a^6 - 6/a^4 + 
   4/a^2 - 3*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 5136] -> 
  -10 + a^(-8) - 4/a^6 + 3/a^4 + 6/a^2 + 6*a^2 - a^4 - 20*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   17*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 5137] -> -a^2 + 6*a^6 - a^8 - 5*a^10 + 2*a^12 - 
   3*a^2*z^2 + 15*a^6*z^2 + 9*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 17*a^6*z^4 + 18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 5138] -> 
  3 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 - a^(-2) - a^2 + 6*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5139] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + 17*a^2*z^2 - 
   11*a^4*z^2 + 2*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 15*a^4*z^4 - 6*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5140] -> 1 - a^(-2) + 7*a^2 - 12*a^4 + 8*a^6 - 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 27*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 9*a^2*z^4 - 25*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 12*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5141] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 
   5*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5142] -> -13 + a^(-6) - 6/a^4 + 13/a^2 + 8*a^2 - 
   2*a^4 - 30*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 28*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5143] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 13/a^6 - 7/a^4 + 3/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (33*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (33*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 5144] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 5145] -> 
  -2 + a^(-10) - 5/a^8 + 10/a^6 - 12/a^4 + 9/a^2 - 7*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (31*z^2)/a^4 + (25*z^2)/a^2 - 8*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5146] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5147] -> -9 - a^(-8) + 5/a^6 - 11/a^4 + 14/a^2 + 
   3*a^2 - 19*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + 
   (31*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5148] -> 
  -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 23*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (24*z^2)/a^4 + (34*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5149] -> 
  -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (24*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5150] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 6*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 5151] -> 4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + 
   (12*z^2)/a^8 - (51*z^2)/a^6 + (65*z^2)/a^4 - (22*z^2)/a^2 + (13*z^4)/a^8 - 
   (68*z^4)/a^6 + (96*z^4)/a^4 - (30*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (76*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 5152] -> -1 + 3/a^8 - 10/a^6 + 9/a^4 - 8*z^2 + 
   (6*z^2)/a^8 - (22*z^2)/a^6 + (16*z^2)/a^4 + (11*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (15*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5153] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (17*z^2)/a^6 + (8*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (11*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5154] -> -3 + a^(-8) - a^(-6) - 5/a^4 + 9/a^2 - 
   2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (16*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 5155] -> 
  -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 6*z^2 + (4*z^2)/a^8 - (13*z^2)/a^6 + 
   (6*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 5156] -> -9 + a^(-6) - 4/a^4 + 8/a^2 + 
   7*a^2 - 2*a^4 - 22*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5157] -> -7 + a^(-6) - 4/a^4 + 7/a^2 + 6*a^2 - 2*a^4 - 
   23*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 26*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5158] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (23*z^2)/a^4 + (21*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5159] -> 
  -4 + a^(-6) - 6/a^4 + 9/a^2 + 2*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (25*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5160] -> 
  -2 - a^(-6) + 2/a^4 + 4*a^2 - 3*a^4 + a^6 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 5161] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 18*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 5162] -> -2 + a^(-6) - 5/a^4 + 6/a^2 + 3*a^2 - 
   2*a^4 - 5*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 - 7*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5163] -> 
  -2/a^4 + 4/a^2 - a^2 - a^4 + a^6 - 8*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5164] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5165] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 - z^2/a^6 + 
   z^2/a^4 + (8*z^2)/a^2 + a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 5166] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 6/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (18*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5167] -> 
  5 - a^(-6) + 2/a^4 - 2/a^2 - 4*a^2 + a^6 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 5168] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 5*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (15*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + (22*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5169] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 5170] -> 
  -2 + a^(-10) - 6/a^8 + 14/a^6 - 17/a^4 + 11/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (14*z^2)/a^8 + (34*z^2)/a^6 - (39*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (32*z^4)/a^6 - (37*z^4)/a^4 + (21*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 5171] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5172] -> 
  -1 + 2/a^10 - 7/a^8 + 6/a^6 - a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (21*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 5173] -> 5 + a^(-10) - 5/a^8 + 8/a^6 - 3/a^4 - 4/a^2 - 
   a^2 + 8*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 - 
   (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 5174] -> 
  -8 - a^(-6) + 2/a^4 + 3/a^2 + 6*a^2 - a^4 - 14*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 5175] -> -2 + a^(-10) - 6/a^8 + 14/a^6 - 17/a^4 + 
   11/a^2 - 9*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (40*z^2)/a^4 + 
   (31*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (38*z^4)/a^4 + 
   (35*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5176] -> 
  -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5177] -> 
  -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 13*a^2*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 
   4*z^4 + 15*a^2*z^4 - 2*a^4*z^4 - 14*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5178] -> 
  2 - a^(-2) + a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 5179] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 17*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (23*z^2)/a^4 + (30*z^2)/a^2 + 4*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 5180] -> -2 + a^(-10) - 4/a^8 + 6/a^6 - 7/a^4 + 
   7/a^2 - 7*z^2 + z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + 
   (24*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (32*z^4)/a^4 + 
   (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5181] -> 
  -13 + a^(-6) - 6/a^4 + 13/a^2 + 8*a^2 - 2*a^4 - 30*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (29*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 28*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5182] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 13/a^6 - 7/a^4 + 3/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (33*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (33*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 5183] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5184] -> 
  3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + (10*z^2)/a^8 - (43*z^2)/a^6 + 
   (55*z^2)/a^4 - (19*z^2)/a^2 + (12*z^4)/a^8 - (63*z^4)/a^6 + (90*z^4)/a^4 - 
   (29*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 5185] -> 
  -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 8*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (11*z^2)/a^4 + (12*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (14*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 5186] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (17*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (26*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5187] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + (14*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (5*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (7*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5188] -> 1 + 2/a^6 - 8/a^4 + 7/a^2 + a^2 - 2*a^4 + 
   2*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 - z^4 + z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5189] -> 
  -4 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 5/a^2 + a^2 + a^4 - 6*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - (6*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^2, Knot[15, Alternating, 5190] -> 
  -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 - 3*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (26*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (29*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 + z^6/a^6 - (11*z^6)/a^4 + (17*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 5191] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 + 
   z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 5192] -> 
  -a^2 + a^4 + 2*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 3*a^2*z^2 + a^4*z^2 + 
   11*a^6*z^2 + 14*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   16*a^6*z^4 + 19*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   11*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 5193] -> -2 + a^(-10) - 6/a^8 + 14/a^6 - 17/a^4 + 
   11/a^2 - 9*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (40*z^2)/a^4 + 
   (31*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (38*z^4)/a^4 + 
   (35*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5194] -> 
  -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5195] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5196] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 
   13*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5197] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 6*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (16*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (16*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 5198] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5199] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5200] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 - z^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (30*z^2)/a^6 - (26*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (32*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5201] -> -4 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   3/a^2 + a^2 + a^4 - 8*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + (3*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 5202] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 - z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (24*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5203] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5204] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (21*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5205] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - a^(-6) + a^(-4) + a^(-2) - 
   (5*z^2)/a^12 + (15*z^2)/a^10 - (14*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + (10*z^4)/a^10 - (20*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - (9*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5206] -> -4 - 3/a^4 + 7/a^2 + a^2 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5207] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - 
   a^2 + 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 - 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5208] -> -2*a^2 + 5*a^4 - 3*a^6 + 6*a^8 - 7*a^10 + 
   2*a^12 - 5*a^2*z^2 + 10*a^4*z^2 + 16*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   4*a^2*z^4 + 8*a^4*z^4 + 7*a^6*z^4 + 17*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 5209] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 17*z^2 + (3*z^2)/a^2 + 30*a^2*z^2 - 
   15*a^4*z^2 + 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 7*a^4*z^4 - 
   2*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5210] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   9*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (25*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (27*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5211] -> -13 + a^(-6) - 6/a^4 + 13/a^2 + 8*a^2 - 
   2*a^4 - 30*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (29*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 28*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5212] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5213] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5214] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (21*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5215] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5216] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5217] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 5*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 5218] -> 4 + 2/a^6 - 7/a^4 + 5/a^2 - 
   3*a^2 + 17*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 10*a^2*z^2 + 
   24*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (12*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 5219] -> 
  3 + a^(-6) - 3/a^4 + a^(-2) - a^4 + 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   4*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + 6*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 5220] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5221] -> -4*a^4 + 10*a^6 + a^8 - 10*a^10 + 
   4*a^12 - 12*a^4*z^2 + 25*a^6*z^2 + 20*a^8*z^2 - 33*a^10*z^2 + 8*a^12*z^2 - 
   13*a^4*z^4 + 26*a^6*z^4 + 40*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 16*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 5222] -> -2*a^2 + 5*a^4 - 3*a^6 + 7*a^8 - 9*a^10 + 
   3*a^12 - 5*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 + 14*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 8*a^6*z^4 + 14*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 7*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 5223] -> -5 + 2/a^8 - 6/a^6 + 10/a^2 - 12*z^2 + 
   (5*z^2)/a^8 - (18*z^2)/a^6 + (7*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (13*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5224] -> -13 + 2/a^6 - 9/a^4 + 15/a^2 + 9*a^2 - 
   3*a^4 - 34*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (34*z^2)/a^2 + 23*a^2*z^2 - 
   6*a^4*z^2 - 35*z^4 + z^4/a^6 - (12*z^4)/a^4 + (32*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5225] -> 
  -2*a^4 + a^6 + 15*a^8 - 19*a^10 + 6*a^12 - 9*a^4*z^2 + 10*a^6*z^2 + 
   43*a^8*z^2 - 44*a^10*z^2 + 9*a^12*z^2 - 12*a^4*z^4 + 17*a^6*z^4 + 
   56*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 14*a^6*z^6 + 
   39*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 5226] -> 
  -4*a^4 + 11*a^6 - 2*a^8 - 7*a^10 + 3*a^12 - 2*a^2*z^2 - 5*a^4*z^2 + 
   24*a^6*z^2 + 3*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   24*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 5227] -> 6/a^8 - 25/a^6 + 31/a^4 - 11/a^2 + 
   (17*z^2)/a^8 - (78*z^2)/a^6 + (106*z^2)/a^4 - (37*z^2)/a^2 + 
   (17*z^4)/a^8 - (95*z^4)/a^6 + (143*z^4)/a^4 - (44*z^4)/a^2 + (7*z^6)/a^8 - 
   (57*z^6)/a^6 + (103*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + 
   (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 5228] -> -3 + 4/a^8 - 15/a^6 + 14/a^4 + 
   a^(-2) - 11*z^2 + (8*z^2)/a^8 - (33*z^2)/a^6 + (30*z^2)/a^4 + 
   (13*z^2)/a^2 - 11*z^4 + (5*z^4)/a^8 - (29*z^4)/a^6 + (29*z^4)/a^4 + 
   (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (17*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 5229] -> -6 + 2/a^8 - 5/a^6 - 3/a^4 + 
   13/a^2 - 15*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 - z^2/a^4 + (33*z^2)/a^2 - 
   14*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (6*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5230] -> 6 + 2/a^8 - 7/a^6 + 7/a^4 - 4/a^2 - 3*a^2 + 
   12*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - 
   6*a^2*z^2 + 11*z^4 + z^4/a^8 - (8*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 5231] -> 
  -4*a^4 + 10*a^6 + a^8 - 10*a^10 + 4*a^12 - 12*a^4*z^2 + 25*a^6*z^2 + 
   20*a^8*z^2 - 33*a^10*z^2 + 8*a^12*z^2 - 13*a^4*z^4 + 26*a^6*z^4 + 
   40*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 
   33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 5232] -> 
  -6 + 2/a^2 + 12*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 15*z^2 + (3*z^2)/a^2 + 
   28*a^2*z^2 - 32*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 12*z^4 + z^4/a^2 + 
   29*a^2*z^4 - 33*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 5233] -> 3 + a^(-4) - 2/a^2 - a^2 - 
   2*a^4 + 3*a^6 - a^8 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5234] -> 
  1 - 2*a^4 + 6*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 14*a^6*z^2 - 17*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 4*a^4*z^4 + 11*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 5235] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5236] -> 
  -4 + a^(-2) + 10*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   28*a^2*z^2 - 33*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   31*a^2*z^4 - 34*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5237] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   2*a^6 + 4*a^8 - 2*a^10 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 5238] -> 
  -8 - 2/a^8 + 6/a^6 - 11/a^4 + 14/a^2 + 2*a^2 - 20*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (27*z^2)/a^4 + (33*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (29*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5239] -> 
  3 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5240] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5241] -> 
  -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5242] -> 
  -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5243] -> -3 + a^(-2) + 7*a^2 - 9*a^4 + 
   8*a^6 - 3*a^8 - 12*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 28*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 31*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5244] -> -1 + 5*a^2 - 8*a^4 + 10*a^6 - 6*a^8 + a^10 - 
   3*z^2 + 15*a^2*z^2 - 26*a^4*z^2 + 29*a^6*z^2 - 13*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 17*a^2*z^4 - 32*a^4*z^4 + 29*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 19*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 5245] -> 
  -5 + 2/a^2 + 9*a^2 - 9*a^4 + 5*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 
   24*a^2*z^2 - 27*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 12*z^4 + z^4/a^2 + 
   27*a^2*z^4 - 30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 5246] -> -9 + a^(-6) - 4/a^4 + 8/a^2 + 
   7*a^2 - 2*a^4 - 28*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 31*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5247] -> -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 23*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 28*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5248] -> 
  a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 - 4*a^8*z^4 + 
   9*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 5249] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + a^2 + 2*a^4 - 
   a^6 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5250] -> a^(-4) - a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - 
   a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5251] -> 2*a^2 - 4*a^4 + 8*a^6 - 9*a^8 + 6*a^10 - 
   2*a^12 + 5*a^2*z^2 - 14*a^4*z^2 + 26*a^6*z^2 - 25*a^8*z^2 + 15*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 29*a^6*z^4 - 28*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 17*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 5252] -> -5 - 2/a^8 + 5/a^6 - 8/a^4 + 10/a^2 + a^2 - 
   16*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (23*z^2)/a^4 + (28*z^2)/a^2 + 
   4*a^2*z^2 - 18*z^4 - z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + 
   (30*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5253] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5254] -> a^(-4) - a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - 
   a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5255] -> 1 - 2*a^2 + 4*a^4 - 3*a^6 + a^8 + a^10 - 
   a^12 + 2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5256] -> -12 - 2/a^4 + 7/a^2 + 16*a^2 - 11*a^4 + 
   3*a^6 - 31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 37*a^2*z^2 - 24*a^4*z^2 + 
   6*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5257] -> 
  1 - a^2 + a^4 + 2*a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 2*z^2 - 4*a^2*z^2 + 
   3*a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5258] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 2*a^4 + a^6 + 
   6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5259] -> -12 - 2/a^4 + 7/a^2 + 16*a^2 - 11*a^4 + 
   3*a^6 - 31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 37*a^2*z^2 - 24*a^4*z^2 + 
   6*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5260] -> 
  3*a^6 - 4*a^8 + 6*a^10 - 5*a^12 + a^14 + 10*a^6*z^2 - 11*a^8*z^2 + 
   16*a^10*z^2 - 3*a^12*z^2 - 3*a^14*z^2 + 12*a^6*z^4 - 15*a^8*z^4 + 
   14*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 13*a^8*z^6 + 
   9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 5261] -> 
  a^4 + a^8 - a^12 + 3*a^4*z^2 + a^6*z^2 + a^8*z^2 + 5*a^10*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 - 2*a^8*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 5262] -> 4*a^6 - 7*a^8 + 11*a^10 - 
   11*a^12 + 5*a^14 - a^16 + 12*a^6*z^2 - 19*a^8*z^2 + 29*a^10*z^2 - 
   16*a^12*z^2 + 2*a^14*z^2 + 13*a^6*z^4 - 22*a^8*z^4 + 25*a^10*z^4 - 
   3*a^14*z^4 + 6*a^6*z^6 - 15*a^8*z^6 + 5*a^10*z^6 + 7*a^12*z^6 - a^14*z^6 + 
   a^6*z^8 - 6*a^8*z^8 - 3*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 5263] -> 2*a^4 - 3*a^6 + 6*a^8 - 6*a^10 + 3*a^12 - 
   a^14 + 5*a^4*z^2 - 7*a^6*z^2 + 14*a^8*z^2 - 8*a^10*z^2 + 5*a^12*z^2 - 
   2*a^14*z^2 + 4*a^4*z^4 - 7*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 5*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   a^8*z^8 - a^10*z^8, Knot[15, Alternating, 5264] -> 
  a^2 - a^4 + 2*a^6 - 2*a^10 + 2*a^12 - a^14 + 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 3*a^12*z^2 - a^14*z^2 + a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + a^8*z^4 - a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   a^6*z^6 - a^8*z^6 - a^10*z^6, Knot[15, Alternating, 5265] -> 
  -4 + a^(-2) + 10*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   28*a^2*z^2 - 33*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   31*a^2*z^4 - 34*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5266] -> -6 + 2/a^2 + 12*a^2 - 13*a^4 + 
   8*a^6 - 2*a^8 - 15*z^2 + (3*z^2)/a^2 + 28*a^2*z^2 - 32*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 - 12*z^4 + z^4/a^2 + 29*a^2*z^4 - 33*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5267] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5268] -> 
  -8 - 2/a^8 + 6/a^6 - 11/a^4 + 14/a^2 + 2*a^2 - 20*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (27*z^2)/a^4 + (33*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (29*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5269] -> 
  -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5270] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 
   4*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5271] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5272] -> 
  1 - 2*a^4 + 6*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 14*a^6*z^2 - 17*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 4*a^4*z^4 + 11*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 5273] -> -3/a^12 + 8/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + z^2/a^12 + (14*z^2)/a^10 - (18*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (5*z^4)/a^10 - (19*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5274] -> -a^(-14) + 2/a^12 - 2/a^10 + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 5275] -> 
  1 + a^2 - 3*a^4 + 2*a^6 + a^10 - a^12 + 2*z^2 - 4*a^4*z^2 + a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 5276] -> 2 - 2/a^12 + 6/a^10 - 9/a^8 + 
   10/a^6 - 6/a^4 + 3*z^2 - z^2/a^12 + (11*z^2)/a^10 - (21*z^2)/a^8 + 
   (23*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (21*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5277] -> -a^(-12) + 2/a^10 - a^(-8) + a^(-4) - 
   a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5278] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - a^6 + 
   2*a^8 - a^10 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 
   6*a^6*z^4 + 3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 5279] -> -3/a^12 + 8/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^14 - z^2/a^12 + (14*z^2)/a^10 - (15*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (6*z^4)/a^10 - (14*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 5280] -> 
  1 - 2/a^12 + 5/a^10 - 6/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 3*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (19*z^2)/a^8 + (22*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (21*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 - 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5281] -> 
  2 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 2/a^4 - a^(-2) + 2*z^2 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (6*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 5282] -> 
  3*a^2 - 4*a^4 + 3*a^6 - 4*a^8 + 6*a^10 - 3*a^12 + 7*a^2*z^2 - 10*a^4*z^2 + 
   7*a^6*z^2 - 13*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 5*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - 22*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 5283] -> 
  1 - a^6 + 3*a^10 - 2*a^12 + 2*z^2 - 2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5284] -> 2 - 3*a^2 + 4*a^4 - 5*a^6 + 4*a^8 - a^12 + 
   3*z^2 - 6*a^2*z^2 + 8*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 6*a^2*z^4 + 4*a^4*z^4 - 9*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 5285] -> -1 + a^(-2) + a^2 - a^6 + a^8 + 
   a^10 - a^12 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   3*a^10*z^2 - 2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[15, Alternating, 5286] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - a^(-4) - a^(-2) + a^2 - z^2 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^2 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 5287] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 5288] -> 
  3 + a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5289] -> -2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 2*a^2 + 
   a^4 - z^2 - z^2/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 5290] -> -1 - a^(-10) + 3/a^8 - 3/a^6 + 
   3/a^2 - a^2 + a^4 - 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - (5*z^4)/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 5291] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 5292] -> 
  2 - 2/a^12 + 6/a^10 - 9/a^8 + 10/a^6 - 6/a^4 + 3*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (21*z^2)/a^8 + (23*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (21*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5293] -> 
  -2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5294] -> -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 
   2*a^6 - 24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 25*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5295] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 - z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5296] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   20*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5297] -> 
  -4 - a^(-8) + 3/a^6 - 6/a^4 + 8/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5298] -> 
  3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 2*a^10 - 2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 
   20*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 
   22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5299] -> 1 + a^6 - 2*a^8 + a^10 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5300] -> 
  a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 - a^4*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 5301] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 
   4*a^4 - 28*z^2 + z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 25*a^2*z^2 - 
   7*a^4*z^2 - 33*z^4 + z^4/a^6 - (7*z^4)/a^4 + (23*z^4)/a^2 + 24*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5302] -> 
  3*a^6 - 4*a^8 + 6*a^10 - 5*a^12 + a^14 + 2*a^4*z^2 + 6*a^6*z^2 - 
   9*a^8*z^2 + 18*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 
   12*a^8*z^4 + 17*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 5303] -> a^4 + a^8 - a^12 + a^2*z^2 + 2*a^4*z^2 + 
   3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 5304] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 
   2*a^10 - a^12 + z^2 - a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5305] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5306] -> -a^(-14) + 4/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^14 + (7*z^2)/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (2*z^4)/a^10 - (16*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5307] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5308] -> 
  -3 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 - 2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (21*z^2)/a^4 + (16*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5309] -> 4 + a^(-6) - a^(-4) - a^(-2) - 3*a^2 + a^6 + 
   7*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 5310] -> 
  1 - 2*a^6 + 3*a^8 - a^12 + 2*z^2 - a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 5311] -> -1 + a^(-2) + a^2 - a^6 + 2*a^8 - 
   a^10 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 
   2*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - 
   a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 5312] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 5313] -> -2/a^14 + 3/a^12 + a^(-10) - 
   5/a^8 + 3/a^6 + a^(-4) - (3*z^2)/a^14 + (9*z^2)/a^12 + (3*z^2)/a^10 - 
   (14*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (2*z^4)/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 5314] -> 
  -a^(-14) + 4/a^10 - 5/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   (6*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 5315] -> 1 - 2/a^12 + 5/a^10 - 5/a^8 + 2/a^6 + 
   a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5316] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 - 2*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5317] -> -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 
   a^(-6) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 5318] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + a^2 + 2*a^4 - a^6 - 11*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5319] -> -2 + a^(-4) + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 9*z^4 - z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 5320] -> 2 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 
   5/a^4 + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - 
   (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5321] -> 2*a^2 - a^4 - a^6 - a^8 + 5*a^10 - 3*a^12 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*a^8*z^2 + 17*a^10*z^2 - 
   4*a^12*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - 22*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 5322] -> 3*a^2 - 4*a^4 + 2*a^6 - a^8 + 3*a^10 - 
   2*a^12 + 2*z^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5323] -> -2 + a^(-4) + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 5324] -> 
  1 - a^2 + 3*a^4 - 5*a^6 + 3*a^8 + 2*a^10 - 2*a^12 + 3*z^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 9*a^6*z^2 + 2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   6*a^2*z^4 + a^4*z^4 - 8*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5325] -> 
  1 - 2*a^6 + 3*a^8 - a^12 + z^2 + z^2/a^2 - a^2*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 5326] -> 
  1 - a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*a^2 + a^4 - z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (16*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5327] -> 3 - 2/a^8 + 6/a^6 - 6/a^4 + a^(-2) - a^2 + 
   6*z^2 + z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (16*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - 
   (16*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5328] -> 
  2 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 5/a^4 + 2*z^2 + (5*z^2)/a^10 - 
   (11*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (9*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 5329] -> 
  -1 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5330] -> 4*a^2 - 7*a^4 + 5*a^6 - a^8 + a^10 - a^12 + 
   z^2 + 6*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   10*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5331] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 - 2*a^2 + 2*a^4 + z^2 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 - 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 6*z^4 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 5332] -> -2/a^12 + 4/a^10 - 2/a^8 - a^(-6) + a^(-4) + 
   a^(-2) - z^2/a^14 + z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 5333] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   a^2 + 2*a^4 - a^6 - 11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 5334] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + a^(-6) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 5335] -> -5 + 2/a^2 + 9*a^2 - 9*a^4 + 3*a^6 + 3*a^8 - 
   2*a^10 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 17*a^4*z^2 - a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 11*z^4 + z^4/a^2 + 17*a^2*z^4 - 11*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 5336] -> 3 + a^(-4) - 2/a^2 - a^2 - 2*a^4 + 
   2*a^6 + a^8 - a^10 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 6*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 5337] -> 
  4*a^2 - 7*a^4 + 5*a^6 - a^8 + a^10 - a^12 + z^2 + 6*a^2*z^2 - 13*a^4*z^2 + 
   6*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 10*a^4*z^4 - a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5338] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5339] -> -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 2/a^4 + 
   a^2 - z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5340] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - 
   a^10 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 5341] -> 
  -2 + a^(-4) + 2*a^2 + a^4 - 2*a^6 + a^8 - 8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 5342] -> 
  2 - a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - a^(-4) - 2/a^2 + 3*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5343] -> 
  -1 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5344] -> 2 - 2/a^12 + 6/a^10 - 8/a^8 + 5/a^6 + 
   a^(-4) - 3/a^2 + 3*z^2 - z^2/a^12 + (10*z^2)/a^10 - (16*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5345] -> -3 + a^(-4) + 5*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - 
   a^10 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 
   2*z^4 - (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 5346] -> 
  -1 - a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 2/a^4 + a^2 - 2*z^2 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - 
   z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5347] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5348] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + 2/a^4 - 
   2/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5349] -> 2 - 2/a^12 + 6/a^10 - 8/a^8 + 5/a^6 + 
   a^(-4) - 3/a^2 + 3*z^2 - z^2/a^12 + (10*z^2)/a^10 - (16*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5350] -> -12 + 2/a^6 - 7/a^4 + 12/a^2 + 8*a^2 - 
   2*a^4 - 30*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (30*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 30*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (32*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5351] -> a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + 3*a^4 - 
   a^6 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5352] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   11*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5353] -> 
  2 - 3*a^2 + 2*a^4 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 3*z^2 - 6*a^2*z^2 + 
   a^4*z^2 + 9*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 
   6*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 5354] -> -1 + a^(-2) + a^2 + a^6 - 3*a^8 + 3*a^10 - 
   a^12 - 2*z^2 + z^2/a^2 + 2*a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 
   a^2*z^4 + a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 5355] -> -2 + 8*a^2 - 11*a^4 + 12*a^6 - 8*a^8 + 
   2*a^10 - 5*z^2 + 20*a^2*z^2 - 29*a^4*z^2 + 30*a^6*z^2 - 16*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 32*a^4*z^4 + 30*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 10*a^2*z^6 - 18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5356] -> 3 - a^(-2) - 2*a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5357] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 5358] -> 
  -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5359] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 
   4*a^4 + a^6 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5360] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 25*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5361] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 5362] -> -9 - a^(-4) + 5/a^2 + 11*a^2 - 
   7*a^4 + 2*a^6 - 24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 24*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 25*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5363] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 - z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5364] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5365] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 15*a^4*z^2 + 
   15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5366] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5367] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 2*z^2 - z^2/a^2 - 5*a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 5368] -> 3*a^6 - 4*a^8 + 6*a^10 - 5*a^12 + 
   a^14 + 2*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 18*a^10*z^2 - 7*a^12*z^2 - 
   a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 12*a^8*z^4 + 17*a^10*z^4 + a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 5369] -> 
  a^4 + a^8 - a^12 + a^2*z^2 + 2*a^4*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 4*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 5370] -> -2 + 2/a^6 - 5/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 
   z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5371] -> 
  -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 16*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 5372] -> 
  a^2 + 2*a^4 - 5*a^6 + 2*a^8 + 4*a^10 - 3*a^12 + 6*a^2*z^2 - a^4*z^2 - 
   7*a^6*z^2 - 4*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 5*a^2*z^4 - 
   12*a^4*z^4 - a^6*z^4 - 19*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 6*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 5373] -> 
  2*a^2 - a^4 - 2*a^6 + 2*a^8 + 2*a^10 - 2*a^12 + 2*z^2 + 3*a^2*z^2 - 
   4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5374] -> 
  3*a^2 - 4*a^4 + a^6 + 2*a^8 - a^12 + 2*z^2 + 3*a^2*z^2 - 6*a^4*z^2 - 
   2*a^6*z^2 + 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   5*a^4*z^4 - 6*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5375] -> 
  -4/a^14 + 9/a^12 - 6/a^10 - 2/a^8 + 4/a^6 - (10*z^2)/a^14 + (35*z^2)/a^12 - 
   (29*z^2)/a^10 - z^2/a^8 + (14*z^2)/a^6 - (6*z^4)/a^14 + (43*z^4)/a^12 - 
   (49*z^4)/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^14 + (20*z^6)/a^12 - 
   (40*z^6)/a^10 - (10*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - 
   (15*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 5376] -> -3/a^14 + 6/a^12 - 3/a^10 - 2/a^8 + 2/a^6 + 
   a^(-4) - (4*z^2)/a^14 + (15*z^2)/a^12 - (6*z^2)/a^10 - (8*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (9*z^4)/a^10 - 
   (16*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 5377] -> -2/a^14 + 3/a^12 - 2/a^8 + 2/a^4 - 
   (3*z^2)/a^14 + (10*z^2)/a^12 - (9*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5378] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^4 - a^6 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 5379] -> 
  -2/a^14 + 3/a^12 - 2/a^8 + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 + z^2/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 5380] -> 
  -3 + a^(-4) + 5*a^2 - 2*a^4 - a^6 + a^8 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 5381] -> 1 - a^4 + a^6 + a^10 - a^12 + z^2 + z^2/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 - 
   2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 5382] -> -2/a^14 + 4/a^12 - 3/a^10 + a^(-8) + a^(-2) - 
   z^2/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 5383] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 2*a^8 - a^10 - 
   6*z^2 + z^2/a^4 + 7*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 3*z^6 + a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 5384] -> 
  1 + 2/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^6 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   z^4/a^4 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 5385] -> 3*a^2 - 4*a^4 + a^6 + 2*a^8 - a^12 + z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 5386] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5387] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 3*a^8 - 
   2*a^10 - 9*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 - a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 11*z^4 + z^4/a^2 + 15*a^2*z^4 - 11*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 5388] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 
   2*a^6 + a^8 - a^10 - z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 + 3*a^8*z^2 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 5389] -> 
  -a^(-14) + 3/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - (3*z^2)/a^14 + (8*z^2)/a^12 + 
   z^2/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (7*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 5390] -> 
  -a^(-14) + a^(-12) + a^(-8) - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 5391] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 2*a^8 - a^10 - 
   6*z^2 + z^2/a^4 + 7*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 3*z^6 + a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 5392] -> 
  -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 10*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   a^2*z^4 + 6*a^4*z^4 - z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 5393] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^6 + 
   4*z^2 - z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - z^4/a^4 + 3*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 5394] -> 
  -8 + a^(-6) - 4/a^4 + 9/a^2 + 5*a^4 - 2*a^6 - 13*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (18*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5395] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + a^4 + 
   2*a^6 - a^8 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 5396] -> 
  -8 + a^(-6) - 4/a^4 + 9/a^2 + 5*a^4 - 2*a^6 - 13*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (18*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5397] -> -3/a^12 + 6/a^10 - 2/a^8 - 4/a^6 + 4/a^4 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5398] -> -a^(-14) + 2/a^12 - 3/a^10 + 4/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 - z^2/a^14 + (5*z^2)/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   z^4/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 5399] -> 
  1 - a^(-14) + 2/a^12 - 2/a^10 + a^(-8) + a^(-6) - a^(-4) + z^2 + 
   (3*z^2)/a^12 - (2*z^2)/a^10 + z^2/a^8 + z^2/a^6 - z^2/a^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 5400] -> 1 - 2*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   2*z^2 - 2*a^2*z^2 - 4*a^4*z^2 + 13*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 11*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 5401] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   2*z^2 - z^2/a^2 + 3*a^2*z^2 - 11*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 12*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 5402] -> -9 + a^(-6) - 4/a^4 + 8/a^2 + 7*a^2 - 2*a^4 - 
   26*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 28*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (29*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5403] -> -5 + 2/a^2 + 9*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   18*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 - 25*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 27*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5404] -> 
  -8 - 2/a^4 + 6/a^2 + 9*a^2 - 5*a^4 + a^6 - 26*z^2 - (5*z^2)/a^4 + 
   (18*z^2)/a^2 + 25*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 30*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5405] -> 
  a^2 + a^4 - a^6 - z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5406] -> a^(-4) - a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - 
   a^8 + (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5407] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + a^2 + 2*a^4 - 
   a^6 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 5408] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 
   7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   11*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 5409] -> 
  -1 + 5*a^2 - 7*a^4 + 9*a^6 - 7*a^8 + 2*a^10 - 4*z^2 + 16*a^2*z^2 - 
   24*a^4*z^2 + 26*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 18*a^2*z^4 - 
   29*a^4*z^4 + 28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 
   17*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 5410] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 + 2*z^2 - z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5411] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + a^2 + 2*a^4 - 
   a^6 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 5412] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 
   4*a^4 - 4*a^6 + 3*a^8 - a^10 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 9*a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 5413] -> -13 - 3/a^4 + 9/a^2 + 15*a^2 - 9*a^4 + 
   2*a^6 - 34*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 34*a^2*z^2 - 17*a^4*z^2 + 
   3*a^6*z^2 - 35*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 + 32*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5414] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - 
   a^10 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 + 
   z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[15, Alternating, 5415] -> 
  -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 12*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5416] -> -1 + 5*a^2 - 6*a^4 + 6*a^6 - 
   4*a^8 + a^10 - 3*z^2 + 13*a^2*z^2 - 19*a^4*z^2 + 19*a^6*z^2 - 10*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 23*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5417] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 9*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5418] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 5419] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 25*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5420] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 5421] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5422] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 8*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (15*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (19*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5423] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5424] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5425] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5426] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 15*a^4*z^2 + 
   15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5427] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5428] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 2*z^2 - z^2/a^2 - 5*a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 5429] -> 3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 
   2*a^10 - 2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5430] -> 1 + a^6 - 2*a^8 + a^10 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5431] -> 
  -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 20*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (19*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5432] -> 
  -4 - a^(-8) + 3/a^6 - 6/a^4 + 8/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5433] -> 
  2 - 3*a^2 + 4*a^4 - 5*a^6 + 4*a^8 - a^12 + 3*z^2 - 6*a^2*z^2 + 8*a^4*z^2 - 
   11*a^6*z^2 + 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 + 
   4*a^4*z^4 - 9*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5434] -> 
  -2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 2*a^2 + a^4 - z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5435] -> -3/a^12 + 8/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + z^2/a^12 + (14*z^2)/a^10 - (18*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (5*z^4)/a^10 - (19*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5436] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 2*a^8 - a^10 - 
   6*z^2 + z^2/a^4 + 7*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 3*z^6 + a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 5437] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + 2*a^8 - a^10 - 6*z^2 + z^2/a^4 + 7*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4 - 6*a^6*z^4 + 3*z^6 + a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 5438] -> -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 10*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 + (3*z^4)/a^4 - a^2*z^4 + 6*a^4*z^4 - z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 5439] -> 
  -8 + a^(-6) - 4/a^4 + 7/a^2 + 8*a^2 - 3*a^4 - 25*z^2 + (4*z^2)/a^6 - 
   (14*z^2)/a^4 + (23*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (27*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   16*z^6 + z^6/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5440] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 5441] -> 
  -14 + 2/a^6 - 7/a^4 + 12/a^2 + 12*a^2 - 4*a^4 - 35*z^2 + (5*z^2)/a^6 - 
   (19*z^2)/a^4 + (32*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 34*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (33*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   16*z^6 + z^6/a^6 - (10*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5442] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5443] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - a^4 + 
   2*a^6 - a^8 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - z^4 - (2*z^4)/a^4 + z^4/a^2 - 3*a^4*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6, Knot[15, Alternating, 5444] -> 
  2 + a^(-4) - 2/a^2 - a^4 + 2*a^6 - a^8 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5445] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5446] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5447] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5448] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5449] -> -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 
   2*a^6 - 24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 25*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5450] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - a^6 + 
   2*a^8 - a^10 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 
   6*a^6*z^4 + 3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 5451] -> 3 + a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - 
   4/a^2 + 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 5452] -> -a^(-12) + 4/a^10 - 7/a^8 + 
   6/a^6 - a^(-4) - a^(-2) + a^2 - z^2 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^2 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5453] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5454] -> 2 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 
   5/a^4 + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - 
   (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5455] -> -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 2/a^4 + 
   a^2 - z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5456] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 - 
   2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 5457] -> -3 - a^(-8) + 5/a^6 - 9/a^4 + 
   9/a^2 - 2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + 
   (16*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5458] -> -2 + a^(-4) + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 9*z^4 - z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 5459] -> -5 + 2/a^2 + 9*a^2 - 9*a^4 + 3*a^6 + 3*a^8 - 
   2*a^10 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 17*a^4*z^2 - a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 11*z^4 + z^4/a^2 + 17*a^2*z^4 - 11*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 5460] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 5461] -> 4*a^2 - 7*a^4 + 5*a^6 - a^8 + 
   a^10 - a^12 + z^2 + 6*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 10*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5462] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5463] -> 2 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 
   5/a^4 + 2*z^2 + (5*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (9*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5464] -> -1 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 - a^2 + 
   a^4 - z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5465] -> 
  -2 + a^(-4) + 2*a^2 + a^4 - 2*a^6 + a^8 - 8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 5466] -> 
  -1 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5467] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5468] -> 2*a^2 - a^4 - a^6 - a^8 + 5*a^10 - 3*a^12 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*a^8*z^2 + 17*a^10*z^2 - 
   4*a^12*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - 22*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 5469] -> 3*a^2 - 4*a^4 + 2*a^6 - a^8 + 3*a^10 - 
   2*a^12 + 2*z^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5470] -> -3/a^12 + 8/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^14 - z^2/a^12 + (14*z^2)/a^10 - (15*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (6*z^4)/a^10 - (14*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 5471] -> 
  4*a^2 - 7*a^4 + 5*a^6 - a^8 + a^10 - a^12 + z^2 + 6*a^2*z^2 - 13*a^4*z^2 + 
   6*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 10*a^4*z^4 - a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5472] -> 
  -2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5473] -> 2 - 3*a^2 + 2*a^4 + 3*a^6 - 6*a^8 + 4*a^10 - 
   a^12 + 3*z^2 - 6*a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 6*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 5474] -> -12 + 2/a^6 - 7/a^4 + 12/a^2 + 
   8*a^2 - 2*a^4 - 30*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (30*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 30*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (32*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5475] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   11*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5476] -> 
  -2 + 8*a^2 - 11*a^4 + 12*a^6 - 8*a^8 + 2*a^10 - 5*z^2 + 20*a^2*z^2 - 
   29*a^4*z^2 + 30*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   32*a^4*z^4 + 30*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 
   18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 5477] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 
   4*a^4 + a^6 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5478] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   11*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5479] -> 
  -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 17*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5480] -> 
  a^4 + a^6 - 3*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 
   8*a^8*z^2 + 19*a^10*z^2 - 10*a^12*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 
   11*a^8*z^4 + 18*a^10*z^4 - a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   9*a^8*z^6 + 4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 5481] -> -8 + a^(-6) - 4/a^4 + 7/a^2 + 8*a^2 - 3*a^4 - 
   27*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 22*a^2*z^2 - 
   6*a^4*z^2 - 32*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5482] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^2 + a^4 - a^6 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5483] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 9*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5484] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 5485] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 25*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5486] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5487] -> 
  1 + a^2 - 3*a^4 + 2*a^6 + a^10 - a^12 + 2*z^2 - 4*a^4*z^2 + a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 5488] -> -a^(-12) + 2/a^10 - a^(-8) + 
   a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5489] -> 2 - 2/a^12 + 6/a^10 - 9/a^8 + 10/a^6 - 
   6/a^4 + 3*z^2 - z^2/a^12 + (11*z^2)/a^10 - (21*z^2)/a^8 + (23*z^2)/a^6 - 
   (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (21*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5490] -> 1 - 2/a^12 + 5/a^10 - 6/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 3*z^2 - z^2/a^12 + (11*z^2)/a^10 - (19*z^2)/a^8 + (22*z^2)/a^6 - 
   (16*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (22*z^4)/a^6 - (14*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5491] -> 2 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 
   2/a^4 - a^(-2) + 2*z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 5492] -> 3*a^2 - 4*a^4 + 3*a^6 - 4*a^8 + 6*a^10 - 
   3*a^12 + 7*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 17*a^10*z^2 - 
   4*a^12*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - 22*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 5493] -> 1 - a^6 + 3*a^10 - 2*a^12 + 2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5494] -> 
  2 - 2/a^12 + 6/a^10 - 9/a^8 + 10/a^6 - 6/a^4 + 3*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (21*z^2)/a^8 + (23*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (21*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5495] -> 
  2 + a^(-4) - 2/a^2 - a^4 + 2*a^6 - a^8 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5496] -> 
  -8 + a^(-6) - 4/a^4 + 7/a^2 + 8*a^2 - 3*a^4 - 27*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (21*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 32*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5497] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^2 + a^4 - a^6 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5498] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5499] -> 
  -1 + 5*a^2 - 6*a^4 + 6*a^6 - 4*a^8 + a^10 - 3*z^2 + 13*a^2*z^2 - 
   19*a^4*z^2 + 19*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 
   23*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 5500] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 
   5*a^4 + a^6 - 24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 24*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 25*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5501] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5502] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 2*a^8 - a^10 - 
   5*z^2 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 5503] -> 
  3*a^2 - 5*a^4 + 7*a^6 - 7*a^8 + 4*a^10 - a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 
   18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 
   21*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5504] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5505] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 5506] -> 
  2*a^4 - 4*a^8 + 8*a^10 - 7*a^12 + 2*a^14 + 3*a^4*z^2 + 7*a^6*z^2 - 
   19*a^8*z^2 + 25*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 - a^4*z^4 + 14*a^6*z^4 - 
   28*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   18*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 5507] -> a^2 + 2*a^10 - 3*a^12 + a^14 + a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 7*a^10*z^2 - 4*a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - 
   4*a^6*z^4 - 4*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 5508] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5509] -> 3*a^2 - 5*a^4 + 7*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 5510] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5511] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5512] -> 
  -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 16*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5513] -> -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 - 7*z^2 + z^2/a^2 + 17*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5514] -> 2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 3*a^2*z^2 - 9*a^4*z^2 + 19*a^6*z^2 - 18*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 25*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 5515] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - z^2 + 9*a^2*z^2 - 19*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 26*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5516] -> 
  1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5517] -> 1 - a^2 + 2*a^4 - 3*a^8 + 3*a^10 - a^12 + 
   z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   4*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5518] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + z^4/a^2 + 6*a^2*z^4 + 
   a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 5519] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 
   2*a^4 - 19*z^2 + z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5520] -> a^4 + 2*a^6 - 5*a^8 + 8*a^10 - 7*a^12 + 
   2*a^14 + 3*a^4*z^2 + 7*a^6*z^2 - 17*a^8*z^2 + 24*a^10*z^2 - 12*a^12*z^2 + 
   a^14*z^2 + 12*a^6*z^4 - 26*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 
   3*a^4*z^6 + 10*a^6*z^6 - 18*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 
   4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 5521] -> 
  2*a^4 - a^6 + 2*a^10 - 3*a^12 + a^14 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + 7*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 
   6*a^10*z^4 - a^2*z^6 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5522] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 
   5*z^2 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 6*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 5523] -> 
  4 - a^(-6) + 2/a^4 - 2/a^2 - 4*a^2 + 3*a^4 - a^6 + 8*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 5524] -> 
  -1 + 6*a^2 - 11*a^4 + 14*a^6 - 9*a^8 + 2*a^10 - 3*z^2 + 17*a^2*z^2 - 
   31*a^4*z^2 + 31*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   34*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5525] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5526] -> 1 - a^2 + 2*a^4 - 3*a^6 + 5*a^8 - 4*a^10 + 
   a^12 + z^2 - a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 - 
   z^4 + a^2*z^4 + a^4*z^4 - 9*a^6*z^4 + 6*a^8*z^4 - z^6 + 2*a^2*z^6 + 
   a^4*z^6 - 4*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 5527] -> 
  -1 + 6*a^2 - 11*a^4 + 14*a^6 - 9*a^8 + 2*a^10 - 3*z^2 + 17*a^2*z^2 - 
   31*a^4*z^2 + 31*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   34*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5528] -> -3 - 3/a^8 + 6/a^6 - 7/a^4 + 8/a^2 - 7*z^2 - 
   (6*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 5529] -> 1 - 2/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5530] -> -4 + a^(-10) - 6/a^8 + 11/a^6 - 13/a^4 + 
   12/a^2 - 8*z^2 + z^2/a^10 - (11*z^2)/a^8 + (26*z^2)/a^6 - (28*z^2)/a^4 + 
   (26*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (25*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 5531] -> 
  5 - a^(-8) + 3/a^4 - 4/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 - z^4/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 5532] -> 
  -1 - a^(-8) + a^(-6) + a^(-2) + 2*a^2 - a^4 - 2*z^2 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^8 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 5533] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5534] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + z^2/a^2 + 19*a^2*z^2 - 22*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 5535] -> 
  3*a^2 - 5*a^4 + 7*a^6 - 7*a^8 + 4*a^10 - a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 
   18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 
   21*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5536] -> 2*a^4 - 4*a^8 + 8*a^10 - 7*a^12 + 2*a^14 + 
   3*a^4*z^2 + 7*a^6*z^2 - 19*a^8*z^2 + 25*a^10*z^2 - 12*a^12*z^2 + 
   a^14*z^2 - a^4*z^4 + 14*a^6*z^4 - 28*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 
   3*a^4*z^6 + 11*a^6*z^6 - 18*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 
   4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 5537] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5538] -> 3*a^2 - 5*a^4 + 7*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 5539] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5540] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5541] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 5542] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5543] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   21*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5544] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 
   8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5545] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (20*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (22*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 5546] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5547] -> -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5548] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5549] -> 
  -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5550] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   17*z^2 - z^2/a^4 + (6*z^2)/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 
   21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 5551] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 7*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   21*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5552] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5553] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5554] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5555] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 9*a^8*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   4*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 5556] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5557] -> 2/a^4 - 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5558] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 5559] -> 
  -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 - z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (21*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (21*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 5560] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5561] -> 2/a^4 - 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5562] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 5*z^2 - 
   z^2/a^2 - 10*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 8*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5563] -> -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 
   32*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (28*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 29*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5564] -> 
  2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5565] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - 
   (11*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 5566] -> 
  -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 32*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (28*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5567] -> 
  7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 - 3*a^4*z^2 + 25*a^6*z^2 - 28*a^8*z^2 + 
   11*a^10*z^2 - 7*a^4*z^4 + 28*a^6*z^4 - 24*a^8*z^4 - a^10*z^4 + 
   3*a^12*z^4 - 5*a^4*z^6 + 16*a^6*z^6 - 5*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 5568] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 5569] -> 
  9*a^6 - 17*a^8 + 14*a^10 - 6*a^12 + a^14 - 4*a^4*z^2 + 30*a^6*z^2 - 
   40*a^8*z^2 + 22*a^10*z^2 - 4*a^12*z^2 - 8*a^4*z^4 + 33*a^6*z^4 - 
   33*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - 5*a^4*z^6 + 18*a^6*z^6 - 
   9*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 2*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 5570] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 - 2*a^2*z^2 + 11*a^4*z^2 - 9*a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 + a^12*z^2 - 3*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 
   3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 5571] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   21*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5572] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   16*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5573] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5574] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (20*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (22*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 5575] -> 
  -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5576] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5577] -> 
  -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5578] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - 
   z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5579] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 
   9*a^4*z^2 + 13*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   17*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 5580] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 14*z^2 + z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5581] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5582] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^4 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 5583] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + a^4*z^2 + 12*a^6*z^2 - 16*a^8*z^2 + 
   5*a^10*z^2 + a^12*z^2 - 4*a^4*z^4 + 16*a^6*z^4 - 14*a^8*z^4 - 4*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 5584] -> a^2 + a^4 - a^6 + 5*a^4*z^2 - 4*a^6*z^2 + 
   2*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 5585] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5586] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5587] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 5588] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5589] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 8*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5590] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 - 
   2*z^2 + z^2/a^4 + z^2/a^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5591] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5592] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   2*z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 7*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5593] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 8*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5594] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5595] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   14*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5596] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5597] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5598] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (19*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 5599] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5600] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5601] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 5602] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5603] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 5604] -> -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   4*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   14*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5605] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5606] -> 
  3*a^4 - 2*a^6 - a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 5607] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 2*a^4*z^2 + 10*a^6*z^2 - 
   16*a^8*z^2 + 7*a^10*z^2 - a^2*z^4 - a^4*z^4 + 12*a^6*z^4 - 15*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 5608] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5609] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 5610] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5611] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + a^2*z^2 + 11*a^6*z^2 - 15*a^8*z^2 + 
   5*a^10*z^2 + a^12*z^2 - 4*a^4*z^4 + 12*a^6*z^4 - 13*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 5612] -> 
  4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 
   a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 5613] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5614] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5615] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5616] -> a^(-2) - 2*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   3*a^2*z^4 - 10*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 5617] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 5618] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5619] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 - 
   2*z^2 + z^2/a^4 + z^2/a^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5620] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 5621] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5622] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5623] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   12*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 5624] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 5625] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5626] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - 2*a^4*z^2 + 
   22*a^6*z^2 - 23*a^8*z^2 + 7*a^10*z^2 + a^12*z^2 - 7*a^4*z^4 + 26*a^6*z^4 - 
   21*a^8*z^4 - 3*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 16*a^6*z^6 - 
   4*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 5627] -> 
  a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 3*a^4*z^2 + 8*a^6*z^2 - 12*a^8*z^2 + 
   4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 9*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 5628] -> 2*a^4 - a^8 - a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 
   5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 5629] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^12*z^2 - 
   z^4 + a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 5630] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 
   11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 5631] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5632] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^4 - z^2/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5633] -> 
  a^(-4) - a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 4*z^2 + a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 6*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5634] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 
   7*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 5635] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5636] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 
   11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 5637] -> 
  3*a^2 - 3*a^4 + a^6 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5638] -> 3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 5639] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5640] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5641] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 4*z^2 + 9*a^2*z^2 - 
   13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5642] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 5643] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5644] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5645] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 5646] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5647] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 16*a^8*z^2 + 7*a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   12*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 
   4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 5648] -> a^(-2) - a^2 + a^4 + z^2 - z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5649] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5650] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 8*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 10*z^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 5651] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 5652] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5653] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5654] -> 
  2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 3*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 17*a^4*z^4 + 17*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 5655] -> a^(-2) + a^2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 - 
   z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5656] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   12*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 
   19*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 5657] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 5658] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5659] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^4 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 5660] -> 
  3*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 5661] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2/a^2 + 11*a^2*z^2 - 
   16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5662] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 10*a^2*z^2 - 
   10*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 6*a^4*z^4 - 
   12*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5663] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5664] -> 
  1 + a^2 - a^4 - a^6 + a^8 + 2*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 2*a^10*z^2 - 
   2*z^4 + a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5665] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 5666] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 5667] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5668] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5669] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5670] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 5*z^2 + 
   19*a^2*z^2 - 17*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 8*z^4 + 22*a^2*z^4 - 
   13*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 5671] -> 4*a^2 - 5*a^4 + 2*a^6 + z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 5672] -> 3*a^2 - 2*a^4 - a^6 + a^8 - z^2 + 5*a^2*z^2 - 
   a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + 
   3*a^4*z^4 - 8*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   6*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 5673] -> 1 + a^2 - a^4 - a^6 + a^8 + 2*a^2*z^2 - 
   2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 - 
   4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 5674] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   9*z^2 + z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5675] -> 
  1 + a^(-4) - a^(-2) - a^6 + a^8 - 2*z^2 - z^2/a^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 5676] -> 4 - 6*a^2 + 3*a^4 + 19*z^2 - (3*z^2)/a^2 - 
   32*a^2*z^2 + 13*a^4*z^2 + 45*z^4 - (13*z^4)/a^2 - 58*a^2*z^4 + 
   16*a^4*z^4 + 52*z^6 - (16*z^6)/a^2 - 46*a^2*z^6 + 7*a^4*z^6 + 31*z^8 - 
   (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 5677] -> 1 + a^(-2) - 2*a^2 + a^6 + 9*z^2 - 
   (2*z^2)/a^2 - 12*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 17*z^4 - (7*z^4)/a^2 - 
   11*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 5678] -> 5 + a^(-4) - 2/a^2 - 6*a^2 + 
   3*a^4 + 8*z^2 + z^2/a^4 - (3*z^2)/a^2 - 17*a^2*z^2 + 7*a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 20*a^2*z^4 + 5*a^4*z^4 + 8*z^6 - (4*z^6)/a^4 + 
   (7*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 5679] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 - z^2/a^2 - 6*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 5680] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 4*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 + z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 20*a^4*z^4 + 
   5*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 5681] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 5682] -> -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 + z^2 - 
   6*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 5683] -> a^(-4) - a^2 + a^4 - a^6 + a^8 - z^2 - 
   z^2/a^2 - 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 - 
   a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 5684] -> a^(-14) - 5/a^12 + 8/a^10 - 8/a^8 + 5/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (17*z^2)/a^10 - (21*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (10*z^4)/a^10 - (25*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5685] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 5686] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (3*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 5687] -> 
  7 + a^(-4) - 4/a^2 - 5*a^2 + 3*a^4 - a^6 + 13*z^2 + (3*z^2)/a^4 - 
   (11*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (4*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 5688] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (9*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5689] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 5690] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + z^2 - 
   (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 5691] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (8*z^4)/a^6 - 
   (21*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (12*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5692] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 5693] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 13*z^2 + (2*z^2)/a^4 - (12*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 10*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 5694] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 4*z^2 - (3*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 + z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 5695] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 5696] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (23*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5697] -> -2/a^6 + 3/a^4 - (4*z^2)/a^10 + 
   (16*z^2)/a^8 - (19*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + 
   (28*z^4)/a^8 - (39*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (16*z^6)/a^8 - (33*z^6)/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (13*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 5698] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   (4*z^2)/a^12 - (19*z^2)/a^10 + (21*z^2)/a^8 - z^2/a^6 + (4*z^4)/a^12 - 
   (28*z^4)/a^10 + (41*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (16*z^6)/a^10 + (33*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (13*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 5699] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (15*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (22*z^6)/a^6 + (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 5700] -> 
  5 - 3/a^6 + 10/a^4 - 11/a^2 + 11*z^2 - (5*z^2)/a^6 + (28*z^2)/a^4 - 
   (37*z^2)/a^2 + 2*a^2*z^2 + 6*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - 
   (50*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^6 + (16*z^6)/a^4 - (35*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 5701] -> 
  1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 - z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (37*z^2)/a^4 - (12*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (49*z^4)/a^4 - (7*z^4)/a^2 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (35*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 5702] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^10 + (8*z^2)/a^8 - (11*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (25*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 5703] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 4*z^2 + 
   11*a^2*z^2 - 3*a^4*z^2 + 16*z^4 - (4*z^4)/a^2 - 17*a^2*z^4 + 8*a^4*z^4 + 
   24*z^6 - (4*z^6)/a^2 - 36*a^2*z^6 + 12*a^4*z^6 + 12*z^8 - z^8/a^2 - 
   25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 5704] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 11*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - 
   (26*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (25*z^6)/a^4 - (41*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 5705] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 2*z^2 + 7*a^2*z^2 - a^4*z^2 + 19*z^4 - 
   (4*z^4)/a^2 - 25*a^2*z^4 + 11*a^4*z^4 + 25*z^6 - (4*z^6)/a^2 - 
   41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 5706] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   6*a^2*z^2 - z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + 21*z^6 + (3*z^6)/a^4 - 
   (15*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 5707] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 28*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (23*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 33*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (26*z^4)/a^2 + 15*a^2*z^4 - 2*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5708] -> 3 - 16*a^2 + 26*a^4 - 12*a^6 + 
   10*z^2 - 55*a^2*z^2 + 88*a^4*z^2 - 33*a^6*z^2 + 12*z^4 - 74*a^2*z^4 + 
   125*a^4*z^4 - 40*a^6*z^4 + 6*z^6 - 49*a^2*z^6 + 96*a^4*z^6 - 25*a^6*z^6 + 
   z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 5709] -> 
  -6*a^2 + 22*a^4 - 22*a^6 + 7*a^8 - 17*a^2*z^2 + 69*a^4*z^2 - 75*a^6*z^2 + 
   25*a^8*z^2 - 17*a^2*z^4 + 87*a^4*z^4 - 112*a^6*z^4 + 35*a^8*z^4 - 
   7*a^2*z^6 + 55*a^4*z^6 - 90*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 5710] -> -3 + 9*a^2 - 4*a^4 - 3*a^6 + 2*a^8 - 7*z^2 + 
   24*a^2*z^2 - 10*a^4*z^2 - 16*a^6*z^2 + 10*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 
   15*a^4*z^4 - 26*a^6*z^4 + 12*a^8*z^4 - z^6 + 12*a^2*z^6 - 13*a^4*z^6 - 
   19*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5711] -> 
  12 - 3/a^2 - 13*a^2 + 5*a^4 + 37*z^2 - (8*z^2)/a^2 - 49*a^2*z^2 + 
   18*a^4*z^2 + 52*z^4 - (9*z^4)/a^2 - 79*a^2*z^4 + 26*a^4*z^4 + 38*z^6 - 
   (5*z^6)/a^2 - 69*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 5712] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 5713] -> 
  -3 + a^(-2) - 3*a^2 + 14*a^4 - 8*a^6 - 11*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   36*a^4*z^2 - 16*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 38*a^4*z^4 - 
   14*a^6*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5714] -> -2 + 3*a^2 + 8*a^4 - 13*a^6 + 5*a^8 - 5*z^2 + 
   12*a^2*z^2 + 13*a^4*z^2 - 32*a^6*z^2 + 13*a^8*z^2 - 4*z^4 + 17*a^2*z^4 + 
   2*a^4*z^4 - 35*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5715] -> 
  1 - a^(-2) + 4*a^2 - 2*a^4 - 3*a^6 + 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 9*a^4*z^2 - 6*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 13*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   8*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5716] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 5717] -> 3 + 2/a^4 - 4/a^2 + 15*z^2 - 
   (4*z^2)/a^6 + (23*z^2)/a^4 - (36*z^2)/a^2 + 25*z^4 - (8*z^4)/a^6 + 
   (45*z^4)/a^4 - (73*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 5718] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 3*z^2 - (3*z^2)/a^6 + (16*z^2)/a^4 - 
   (22*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - 
   (22*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + (9*z^6)/a^4 - (13*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 5719] -> 2/a^6 - 5/a^4 + 4/a^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - z^2/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + 
   (14*z^4)/a^8 - (9*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 5720] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 20*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 29*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 30*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 5721] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + 16*a^2*z^2 - 6*a^4*z^2 - 7*a^6*z^2 + 
   5*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 9*a^4*z^4 - 16*a^6*z^4 + 8*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5722] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 51*z^2 + 
   (7*z^2)/a^4 - (35*z^2)/a^2 - 19*a^2*z^2 + 80*z^4 + (9*z^4)/a^4 - 
   (51*z^4)/a^2 - 26*a^2*z^4 + 69*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 5723] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 17*a^2*z^4 + 
   9*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5724] -> a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - 
   (25*z^2)/a^6 + (35*z^2)/a^4 - (13*z^2)/a^2 + (8*z^4)/a^8 - (46*z^4)/a^6 + 
   (72*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - 
   (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 5725] -> 2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (20*z^2)/a^4 - (5*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (21*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5726] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 27*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (22*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (25*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 5727] -> 
  2 - a^(-2) + a^2 - a^4 + 20*z^2 - (5*z^2)/a^2 - 22*a^2*z^2 + 9*a^4*z^2 + 
   42*z^4 - (8*z^4)/a^2 - 59*a^2*z^4 + 21*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 
   62*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 5728] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 + 2*z^2 - 14*a^2*z^2 + 28*a^4*z^2 - 12*a^6*z^2 + 
   7*z^4 - 38*a^2*z^4 + 63*a^4*z^4 - 22*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 
   63*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 5729] -> 5 - 2/a^6 + 8/a^4 - 10/a^2 + 16*z^2 - 
   (7*z^2)/a^6 + (32*z^2)/a^4 - (43*z^2)/a^2 + 25*z^4 - (9*z^4)/a^6 + 
   (50*z^4)/a^4 - (75*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 5730] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 43*z^2 + (7*z^2)/a^4 - (32*z^2)/a^2 - 
   16*a^2*z^2 + 75*z^4 + (9*z^4)/a^4 - (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 5731] -> 2 - a^(-2) + a^2 - a^4 + 10*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 25*z^4 - (5*z^4)/a^2 - 32*a^2*z^4 + 
   12*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 5732] -> -11 - 2/a^4 + 7/a^2 + 12*a^2 - 
   6*a^4 + a^6 - 27*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 29*a^2*z^2 - 
   16*a^4*z^2 + 4*a^6*z^2 - 28*z^4 - z^4/a^4 + (12*z^4)/a^2 + 30*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5733] -> 2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 - 
   2*z^2 + z^2/a^10 - (12*z^2)/a^8 + (32*z^2)/a^6 - (32*z^2)/a^4 + 
   (15*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (24*z^4)/a^6 - (38*z^4)/a^4 + 
   (22*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (20*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5734] -> 
  a^(-10) - 6/a^8 + 13/a^6 - 13/a^4 + 6/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (30*z^2)/a^6 - (33*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - (35*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 5735] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 5*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5736] -> 5/a^12 - 19/a^10 + 19/a^8 - 3/a^6 - a^(-4) + 
   (8*z^2)/a^12 - (47*z^2)/a^10 + (60*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^4)/a^12 - (44*z^4)/a^10 + (74*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (19*z^6)/a^10 + (46*z^6)/a^8 + (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (15*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 5737] -> -2/a^18 + 11/a^16 - 18/a^14 + 
   6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - (44*z^2)/a^14 + 
   (20*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (28*z^4)/a^12 + (30*z^4)/a^10 + (5*z^4)/a^8 - 
   (8*z^6)/a^14 + (18*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 5738] -> 
  -3/a^14 + 14/a^12 - 21/a^10 + 9/a^8 + 2/a^6 - (7*z^2)/a^14 + 
   (38*z^2)/a^12 - (58*z^2)/a^10 + (21*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^4)/a^14 + (41*z^4)/a^12 - (68*z^4)/a^10 + (12*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (44*z^6)/a^10 - (4*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 5739] -> 
  -1 + 4/a^8 - 17/a^6 + 20/a^4 - 5/a^2 - 6*z^2 + (8*z^2)/a^8 - (44*z^2)/a^6 + 
   (59*z^2)/a^4 - (10*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - (44*z^4)/a^6 + 
   (72*z^4)/a^4 - (2*z^4)/a^2 - 5*z^6 + z^6/a^8 - (19*z^6)/a^6 + 
   (46*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 5740] -> 
  -a^(-14) + 3/a^12 - 7/a^8 + 5/a^6 + a^(-4) - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (9*z^4)/a^10 - (22*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 5741] -> 
  2/a^10 - 7/a^8 + 4/a^6 + 4/a^4 - 2/a^2 - 2*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (9*z^2)/a^6 + (17*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 + (23*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 + (14*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 5742] -> 
  3/a^12 - 10/a^10 + 5/a^8 + 6/a^6 - 3/a^4 + (3*z^2)/a^12 - (19*z^2)/a^10 + 
   (15*z^2)/a^8 + (18*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (16*z^4)/a^8 + (21*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5743] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (6*z^4)/a^10 - (18*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 5744] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (10*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + z^4/a^10 - (10*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 5745] -> -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (26*z^2)/a^8 - (33*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (48*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (35*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 5746] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 
   3/a^2 - z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + (31*z^2)/a^4 - (10*z^2)/a^2 - 
   5*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (47*z^4)/a^4 - (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5747] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (11*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 5748] -> 
  2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 5749] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5750] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 - (15*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 5751] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 
   5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5752] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^6 - 
   z^4/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 5753] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   17*z^2 - z^2/a^8 + (7*z^2)/a^6 - (19*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 
   18*z^4 - z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5754] -> 
  2 - a^(-2) + a^2 - a^4 + 20*z^2 - (5*z^2)/a^2 - 22*a^2*z^2 + 9*a^4*z^2 + 
   42*z^4 - (8*z^4)/a^2 - 59*a^2*z^4 + 21*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 
   62*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 5755] -> 
  2 - 12*a^2 + 21*a^4 - 10*a^6 + 9*z^2 - 50*a^2*z^2 + 81*a^4*z^2 - 
   31*a^6*z^2 + 12*z^4 - 72*a^2*z^4 + 121*a^4*z^4 - 39*a^6*z^4 + 6*z^6 - 
   49*a^2*z^6 + 95*a^4*z^6 - 25*a^6*z^6 + z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 5756] -> 1 - 8*a^2 + 16*a^4 - 8*a^6 - 6*z^2 + 
   (2*z^2)/a^2 - 10*a^2*z^2 + 38*a^4*z^2 - 16*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 39*a^4*z^4 - 14*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5757] -> 
  16 - 4/a^2 - 18*a^2 + 7*a^4 + 56*z^2 - (12*z^2)/a^2 - 75*a^2*z^2 + 
   28*a^4*z^2 + 76*z^4 - (13*z^4)/a^2 - 117*a^2*z^4 + 38*a^4*z^4 + 50*z^6 - 
   (6*z^6)/a^2 - 94*a^2*z^6 + 25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 5758] -> -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 5*z^2 + 
   15*a^2*z^2 - a^4*z^2 - 14*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   7*a^4*z^4 - 20*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5759] -> 
  -1 - 2/a^4 + 6/a^2 - 6*a^2 + 4*a^4 - 9*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 - 
   21*a^2*z^2 + 12*a^4*z^2 - 16*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 - 
   29*a^2*z^4 + 13*a^4*z^4 - 14*z^6 - z^6/a^4 + (11*z^6)/a^2 - 20*a^2*z^6 + 
   6*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5760] -> 6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - z^2/a^4 + 
   z^2/a^2 - 14*a^2*z^2 + 6*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   21*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5761] -> 5 - a^(-6) + 6/a^4 - 9/a^2 + 19*z^2 - 
   (6*z^2)/a^6 + (32*z^2)/a^4 - (48*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + 
   (52*z^4)/a^4 - (84*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 5762] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - (11*z^4)/a^6 - 
   (19*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (10*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 5763] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 - 
   (14*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5764] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5765] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 12*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (25*z^2)/a^4 + (25*z^2)/a^2 + 2*a^2*z^2 - 21*z^4 + (4*z^4)/a^6 - 
   (21*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 16*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 5766] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 14*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 + 18*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5767] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 3*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + (10*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 5768] -> -3 - a^(-8) + 5/a^6 - 7/a^4 + 
   5/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (27*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5769] -> 
  25 + 4/a^4 - 18/a^2 - 10*a^2 + 84*z^2 + (12*z^2)/a^4 - (59*z^2)/a^2 - 
   31*a^2*z^2 + 122*z^4 + (13*z^4)/a^4 - (77*z^4)/a^2 - 39*a^2*z^4 + 95*z^6 + 
   (6*z^6)/a^4 - (50*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 5770] -> -1 + a^(-4) - 3/a^2 + 9*a^2 - 5*a^4 + 4*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 13*z^4 + 
   (4*z^4)/a^4 - (20*z^4)/a^2 + 31*a^2*z^4 - 13*a^4*z^4 + 13*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 5771] -> 
  -2 + 4*a^2 + 4*a^4 - 8*a^6 + 3*a^8 - 5*z^2 + 14*a^2*z^2 + 4*a^4*z^2 - 
   20*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 5*a^4*z^4 - 24*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5772] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 14*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 15*a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5773] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 36*z^2 + 
   (6*z^2)/a^4 - (27*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - 
   (48*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 5774] -> 
  1 + 3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (13*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 5775] -> 
  -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 9*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (19*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + (8*z^4)/a^4 + 
   (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 5776] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 
   2*a^2 - 22*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 28*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5777] -> 
  -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 8*z^2 + 24*a^2*z^2 - 15*a^4*z^2 + 
   4*a^6*z^2 - 5*z^4 + 23*a^2*z^4 - 14*a^4*z^4 - 3*a^6*z^4 + 4*a^8*z^4 - 
   z^6 + 11*a^2*z^6 - 10*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5778] -> 5 - 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 9*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5779] -> -3 - 2/a^8 + 8/a^6 - 14/a^4 + 12/a^2 - 
   14*z^2 - z^2/a^8 + (12*z^2)/a^6 - (31*z^2)/a^4 + (34*z^2)/a^2 + 
   2*a^2*z^2 - 22*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (38*z^4)/a^2 + 
   5*a^2*z^4 - 16*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 5780] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 4*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 5781] -> -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5782] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 7*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5783] -> 
  -2/a^14 + 8/a^12 - 8/a^10 - 3/a^8 + 6/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (16*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (14*z^4)/a^10 - (16*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 5784] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 3/a^8 + 3/a^4 - z^2/a^14 + (5*z^2)/a^12 - 
   (8*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   z^4/a^10 - (10*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 5785] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (14*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5786] -> -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (12*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5787] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (7*z^4)/a^8 + (18*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5788] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + (34*z^2)/a^4 - (4*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (48*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5789] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (30*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (47*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (35*z^6)/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 5790] -> -a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^2 + z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5791] -> -6 - 2/a^4 + 7/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 
   22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 27*z^4 - z^4/a^4 + (12*z^4)/a^2 + 23*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5792] -> 
  13 + a^(-6) - 2/a^4 - 5/a^2 - 6*a^2 + 33*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - 
   (6*z^2)/a^2 - 15*a^2*z^2 + 37*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 5793] -> 3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 10*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 14*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 5794] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 2*z^2 - 
   14*a^2*z^2 + 28*a^4*z^2 - 12*a^6*z^2 + 7*z^4 - 38*a^2*z^4 + 63*a^4*z^4 - 
   22*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 63*a^4*z^6 - 18*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 5795] -> 15 - 4/a^2 - 14*a^2 + 2*a^4 + 
   2*a^6 + 34*z^2 - (8*z^2)/a^2 - 32*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 + 
   31*z^4 - (5*z^4)/a^2 - 33*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - 
   z^6/a^2 - 20*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 5796] -> 
  -2 - 2/a^4 + 6/a^2 - 2*a^2 - a^4 + 2*a^6 - 3*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 - 11*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 15*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5797] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 - 
   5*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 22*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5798] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - 27*z^4 - z^4/a^4 + (10*z^4)/a^2 + 28*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5799] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 9*z^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - 
   (13*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (15*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 5800] -> 6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - z^2/a^4 + 
   z^2/a^2 - 14*a^2*z^2 + 6*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   21*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5801] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   12*a^2*z^2 - 10*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 7*a^4*z^4 - 
   19*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 15*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 5802] -> -2 + 6*a^2 - 3*a^4 - z^2/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 12*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5803] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 48*z^2 + 
   (6*z^2)/a^4 - (32*z^2)/a^2 - 19*a^2*z^2 + 84*z^4 + (9*z^4)/a^4 - 
   (52*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 5804] -> 
  -4 - a^(-4) + 3/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 27*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5805] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 29*z^2 - (7*z^2)/a^2 - 34*a^2*z^2 + 13*a^4*z^2 + 
   49*z^4 - (9*z^4)/a^2 - 70*a^2*z^4 + 24*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 
   67*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 5806] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   10*a^2*z^2 + 6*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 
   9*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5807] -> -2/a^6 + 3/a^4 - (4*z^2)/a^10 + 
   (16*z^2)/a^8 - (19*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + 
   (28*z^4)/a^8 - (39*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (16*z^6)/a^8 - (33*z^6)/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (13*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 5808] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   (4*z^2)/a^12 - (19*z^2)/a^10 + (21*z^2)/a^8 - z^2/a^6 + (4*z^4)/a^12 - 
   (28*z^4)/a^10 + (41*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (16*z^6)/a^10 + (33*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (13*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 5809] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (12*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (25*z^4)/a^4 - (7*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 5810] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (12*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + 
   (25*z^4)/a^4 - (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (24*z^6)/a^4 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (3*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 5811] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 20*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   6*a^2*z^2 + 2*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 6*a^2*z^4 + 
   6*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5812] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 11*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - 
   (26*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (25*z^6)/a^4 - (41*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 5813] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 5814] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5815] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 
   51*z^2 + (7*z^2)/a^4 - (35*z^2)/a^2 - 19*a^2*z^2 + 80*z^4 + (9*z^4)/a^4 - 
   (51*z^4)/a^2 - 26*a^2*z^4 + 69*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 5816] -> 
  1 - 8*a^2 + 16*a^4 - 8*a^6 + 5*z^2 - 31*a^2*z^2 + 55*a^4*z^2 - 21*a^6*z^2 + 
   8*z^4 - 48*a^2*z^4 + 83*a^4*z^4 - 27*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 
   70*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 5817] -> 12 - 3/a^2 - 13*a^2 + 5*a^4 + 37*z^2 - 
   (8*z^2)/a^2 - 49*a^2*z^2 + 18*a^4*z^2 + 52*z^4 - (9*z^4)/a^2 - 
   79*a^2*z^4 + 26*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 69*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 5818] -> 
  -2*a^4 + 3*a^6 + 7*a^8 - 9*a^10 + 2*a^12 - 7*a^4*z^2 + 7*a^6*z^2 + 
   37*a^8*z^2 - 31*a^10*z^2 + 5*a^12*z^2 - 9*a^4*z^4 + 9*a^6*z^4 + 
   57*a^8*z^4 - 35*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 
   40*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 5819] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 23*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 28*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (23*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5820] -> 5 - 2/a^2 - 2*a^2 + 22*z^2 + 
   (2*z^2)/a^4 - (13*z^2)/a^2 - 9*a^2*z^2 + 46*z^4 + (5*z^4)/a^4 - 
   (28*z^4)/a^2 - 16*a^2*z^4 + 48*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 5821] -> 
  3 + 2/a^4 - 4/a^2 + 9*z^2 - (2*z^2)/a^6 + (13*z^2)/a^4 - (22*z^2)/a^2 + 
   16*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - (46*z^4)/a^2 + 14*z^6 - 
   (4*z^6)/a^6 + (27*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 5822] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   15*z^2 - (3*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 29*z^4 - (5*z^4)/a^2 - 
   45*a^2*z^4 + 16*a^4*z^4 + 27*z^6 - (4*z^6)/a^2 - 48*a^2*z^6 + 14*a^4*z^6 + 
   12*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 5823] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 - 5*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 22*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5824] -> 
  5 - 2/a^2 - 2*a^2 + 16*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 
   9*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 5825] -> 2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 + z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (18*z^2)/a^4 - (9*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (12*z^4)/a^6 + (17*z^4)/a^4 - z^4/a^2 - 3*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5826] -> 1 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + 33*z^4 + (5*z^4)/a^4 - (24*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + 
   (4*z^6)/a^4 - (26*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 5827] -> 1 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + 33*z^4 + (5*z^4)/a^4 - (24*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + 
   (4*z^6)/a^4 - (26*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 5828] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5829] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5830] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5831] -> 
  1 + 6*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - (14*z^2)/a^2 + 15*z^4 - 
   (5*z^4)/a^6 + (27*z^4)/a^4 - (41*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + 
   (27*z^6)/a^4 - (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 5832] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 5833] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + z^2/a^2 + 6*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5834] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - z^2/a^4 + z^2/a^2 - 14*a^2*z^2 + 
   6*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 21*a^2*z^4 + 9*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5835] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 - 
   5*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 22*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5836] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   21*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5837] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5838] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - z^2/a^10 - z^2/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5839] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 - z^4/a^8 + 
   (20*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5840] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (13*z^2)/a^8 + (12*z^2)/a^6 + z^4/a^12 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5841] -> 3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 + 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (17*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 5842] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (7*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (11*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 5843] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) + z^2/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 + 
   z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5844] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 5845] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5846] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5847] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 10*z^2 + z^2/a^2 + 26*a^2*z^2 - 
   23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 33*a^2*z^4 - 
   26*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5848] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5849] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - (2*z^2)/a^4 + (7*z^2)/a^2 - 11*a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^4 + (6*z^4)/a^2 - 14*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 5850] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5851] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 16*z^2 + 
   (3*z^2)/a^2 + 23*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5852] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5853] -> 
  -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 19*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 + 
   9*a^2*z^2 - 23*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - (8*z^4)/a^2 + 
   10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 5854] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 5855] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5856] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 8/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (25*z^2)/a^8 + (30*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (36*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - 
   (6*z^6)/a^8 + (19*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 5857] -> 
  -6 - a^(-4) + 3/a^2 + 10*a^2 - 6*a^4 + a^6 - 21*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 27*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 30*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5858] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (25*z^2)/a^6 - (29*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (21*z^4)/a^6 - (36*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5859] -> -2 - a^(-4) + 2/a^2 + 5*a^2 - 4*a^4 + a^6 - 
   4*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5860] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (22*z^2)/a^10 - (28*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (21*z^4)/a^10 - (34*z^4)/a^8 + (27*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^6)/a^10 - (19*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 5861] -> -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 28*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (25*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   33*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5862] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5863] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 7*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 5864] -> 4/a^12 - 15/a^10 + 14/a^8 - 
   a^(-6) - a^(-4) + (8*z^2)/a^12 - (44*z^2)/a^10 + (54*z^2)/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^4)/a^12 - (44*z^4)/a^10 + (72*z^4)/a^8 + 
   z^4/a^6 - (8*z^4)/a^4 + z^6/a^12 - (19*z^6)/a^10 + (46*z^6)/a^8 + 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (15*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 5865] -> 
  3/a^12 - 11/a^10 + 9/a^8 + a^(-6) - a^(-4) + (3*z^2)/a^12 - (19*z^2)/a^10 + 
   (18*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (16*z^4)/a^8 + (19*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5866] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (7*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (14*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5867] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (7*z^4)/a^8 + (16*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5868] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - z^2/a^10 - z^2/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5869] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 - z^2/a^18 + (12*z^2)/a^16 - 
   (31*z^2)/a^14 + (7*z^2)/a^12 + (23*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (29*z^4)/a^14 + (20*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - (8*z^6)/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 5870] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (12*z^2)/a^8 + (17*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5871] -> -1 + 3/a^8 - 13/a^6 + 15/a^4 - 3/a^2 - 
   4*z^2 + (6*z^2)/a^8 - (33*z^2)/a^6 + (45*z^2)/a^4 - (8*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (56*z^4)/a^4 - (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (37*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5872] -> -3/a^10 + 12/a^8 - 15/a^6 + 5/a^4 + 2/a^2 - 
   (8*z^2)/a^10 + (41*z^2)/a^8 - (52*z^2)/a^6 + (10*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (44*z^4)/a^8 - (70*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (19*z^6)/a^8 - (46*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (15*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 5873] -> 16 + 2/a^4 - 11/a^2 - 5*a^2 - 
   a^4 + 53*z^2 + (7*z^2)/a^4 - (38*z^2)/a^2 - 11*a^2*z^2 - 5*a^4*z^2 + 
   69*z^4 + (5*z^4)/a^4 - (42*z^4)/a^2 - 4*a^2*z^4 - 8*a^4*z^4 + 45*z^6 + 
   z^6/a^4 - (19*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 
   5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 5874] -> 
  11 + a^(-4) - 7/a^2 - 3*a^2 - a^4 + 24*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 5875] -> 1 - 2/a^10 + 6/a^8 - 3/a^6 - 4/a^4 + 3/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - (7*z^2)/a^6 - (17*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*z^4 - z^4/a^10 + (12*z^4)/a^8 - (11*z^4)/a^6 - 
   (24*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - 
   (14*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5876] -> 7 + a^(-6) - 4/a^4 + a^(-2) - 4*a^2 + 
   20*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 - 
   2*a^4*z^2 + 24*z^4 + z^4/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 5877] -> 
  2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 8*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + (11*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 5878] -> 
  -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 21*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 28*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5879] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 26*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 31*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (24*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 5880] -> 6 - 2/a^2 - 4*a^2 + a^4 + 29*z^2 - 
   (7*z^2)/a^2 - 34*a^2*z^2 + 13*a^4*z^2 + 49*z^4 - (9*z^4)/a^2 - 
   70*a^2*z^4 + 24*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 5881] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 14*z^2 - (6*z^2)/a^6 + (27*z^2)/a^4 - 
   (36*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + (48*z^4)/a^4 - (71*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 5882] -> 1 - 8*a^2 + 16*a^4 - 8*a^6 + 
   7*z^2 - 43*a^2*z^2 + 73*a^4*z^2 - 29*a^6*z^2 + 11*z^4 - 68*a^2*z^4 + 
   118*a^4*z^4 - 39*a^6*z^4 + 6*z^6 - 48*a^2*z^6 + 95*a^4*z^6 - 25*a^6*z^6 + 
   z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 5883] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 8*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 32*a^4*z^2 - 
   15*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5884] -> 
  -1 + 6*a^4 - 4*a^6 - 10*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 20*a^4*z^2 - 
   11*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 26*a^4*z^4 - 11*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5885] -> 7 - 2/a^6 + 10/a^4 - 14/a^2 + 27*z^2 - 
   (9*z^2)/a^6 + (47*z^2)/a^4 - (69*z^2)/a^2 + 38*z^4 - (12*z^4)/a^6 + 
   (71*z^4)/a^4 - (115*z^4)/a^2 + 25*z^6 - (6*z^6)/a^6 + (49*z^6)/a^4 - 
   (94*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (42*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 5886] -> 
  2 - 2/a^6 + 9/a^4 - 10/a^2 + 2*a^2 - 6*z^2 - (5*z^2)/a^6 + (24*z^2)/a^4 - 
   (26*z^2)/a^2 + 8*a^2*z^2 - 17*z^4 - (4*z^4)/a^6 + (24*z^4)/a^4 - 
   (28*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (17*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 5887] -> 
  -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 10*a^2*z^2 + 7*a^4*z^2 - 
   18*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 3*a^4*z^4 - 22*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5888] -> 4 - a^(-4) + 2/a^2 - 8*a^2 + 4*a^4 + z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 21*a^2*z^2 + 10*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 5889] -> 
  -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 5890] -> 
  6 - a^(-8) + 3/a^6 + 2/a^4 - 9/a^2 + 14*z^2 - (4*z^2)/a^8 + (15*z^2)/a^6 - 
   (3*z^2)/a^4 - (27*z^2)/a^2 + 13*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - 
   (13*z^4)/a^4 - (32*z^4)/a^2 + 6*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (13*z^6)/a^4 - (20*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 5891] -> 
  1 - a^(-8) + 3/a^6 + a^(-4) - 5/a^2 + 2*a^2 - 2*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 5892] -> -2*a^2 + 7*a^4 - 4*a^6 - 8*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 + 20*a^4*z^2 - 10*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 + 24*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5893] -> 
  -2 + 6*a^2 - 3*a^4 - z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5894] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 16*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + 21*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 5895] -> 
  1 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 2*a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + 2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 5896] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 5897] -> -2*a^4 + 2*a^6 + 10*a^8 - 
   12*a^10 + 3*a^12 - 7*a^4*z^2 + 5*a^6*z^2 + 43*a^8*z^2 - 36*a^10*z^2 + 
   6*a^12*z^2 - 9*a^4*z^4 + 8*a^6*z^4 + 61*a^8*z^4 - 37*a^10*z^4 + 
   4*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 41*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 5898] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 24*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 29*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5899] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 63*z^2 + (9*z^2)/a^4 - (44*z^2)/a^2 - 
   23*a^2*z^2 + 91*z^4 + (10*z^4)/a^4 - (58*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 5900] -> 4/a^8 - 16/a^6 + 19/a^4 - 6/a^2 + 
   (12*z^2)/a^8 - (56*z^2)/a^6 + (76*z^2)/a^4 - (27*z^2)/a^2 + (13*z^4)/a^8 - 
   (76*z^4)/a^6 + (117*z^4)/a^4 - (38*z^4)/a^2 + (6*z^6)/a^8 - (50*z^6)/a^6 + 
   (94*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 5901] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 - 6*z^2 + 
   (6*z^2)/a^8 - (27*z^2)/a^6 + (30*z^2)/a^4 + z^2/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (29*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5902] -> -3 + 2/a^8 - 6/a^6 + 2/a^4 + 6/a^2 - 12*z^2 + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (9*z^2)/a^4 + (21*z^2)/a^2 - 13*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (16*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5903] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 - 3*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (6*z^4)/a^6 - z^4/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 5904] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (16*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5905] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 8/a^6 - 2/a^4 + a^(-2) + z^2 + (5*z^2)/a^10 - 
   (18*z^2)/a^8 + (22*z^2)/a^6 - (7*z^2)/a^4 + 2*z^4 - (9*z^4)/a^8 + 
   (20*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (7*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5906] -> -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - a^4 - 
   20*z^2 + z^2/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   23*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5907] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (20*z^2)/a^8 + (31*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (35*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 - (6*z^6)/a^8 + 
   (18*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 5908] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 5909] -> 
  -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 5*z^2 - z^2/a^2 + 22*a^2*z^2 - 
   17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 16*a^2*z^4 - 
   17*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 5910] -> 
  2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 - z^2 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (34*z^2)/a^6 - (30*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (31*z^4)/a^6 - (35*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (20*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 5911] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - 
   3*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 5912] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - (5*z^2)/a^12 + (15*z^2)/a^10 - 
   (19*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 + (9*z^4)/a^10 - (17*z^4)/a^8 + 
   (11*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (7*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5913] -> 
  -2/a^14 + 9/a^12 - 12/a^10 + 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (13*z^2)/a^12 - 
   (19*z^2)/a^10 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (12*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 5914] -> 6 - 3/a^2 - a^2 - a^4 + 14*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 16*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 10*z^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 5915] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5916] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   (5*z^2)/a^12 + (14*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + 
   (9*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   (7*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5917] -> -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 
   6/a^10 + (6*z^2)/a^16 - (20*z^2)/a^14 + (2*z^2)/a^12 + (19*z^2)/a^10 + 
   (5*z^2)/a^8 - (11*z^4)/a^14 + (9*z^4)/a^12 + (22*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^6 + (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 5918] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5919] -> -2/a^14 + 9/a^12 - 12/a^10 + 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (13*z^2)/a^12 - (19*z^2)/a^10 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (12*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 5920] -> 
  6 - 3/a^2 - a^2 - a^4 + 14*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 5921] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 4*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 5922] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 5923] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + z^2/a^2 + 6*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5924] -> 
  -1 + 6*a^4 - 4*a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 + 
   12*a^4*z^2 - 7*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 + 
   10*a^4*z^4 - 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 5925] -> 
  3 - a^(-4) + 2/a^2 - 4*a^2 - a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 12*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - z^4/a^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 5926] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 5927] -> -1 - a^2 + 13*a^4 - 15*a^6 + 5*a^8 - 3*z^2 + 
   3*a^2*z^2 + 22*a^4*z^2 - 30*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 
   10*a^4*z^4 - 29*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5928] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 3*z^2 + (4*z^2)/a^8 - (18*z^2)/a^6 + 
   (21*z^2)/a^4 - z^2/a^2 - 6*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + 
   (21*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 5929] -> 
  -1 + a^2 + 5*a^4 - 5*a^6 + a^8 - 3*z^2 + 6*a^2*z^2 + 8*a^4*z^2 - 
   11*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + a^4*z^4 - 14*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5930] -> -2 + 6*a^2 - 6*a^4 + 6*a^6 - 3*a^8 - 9*z^2 + 
   z^2/a^2 + 24*a^2*z^2 - 22*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + 
   (2*z^4)/a^2 + 31*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5931] -> 
  -2*a^4 + 2*a^6 + 10*a^8 - 12*a^10 + 3*a^12 - a^2*z^2 - 5*a^4*z^2 + 
   10*a^6*z^2 + 28*a^8*z^2 - 24*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 16*a^6*z^4 + 29*a^8*z^4 - 16*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + 14*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 5932] -> -1 + a^2 + 5*a^4 - 5*a^6 + a^8 - 
   3*z^2 + 6*a^2*z^2 + 8*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 
   11*a^2*z^4 + a^4*z^4 - 14*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 5933] -> 
  -1 - a^2 + 13*a^4 - 15*a^6 + 5*a^8 - 3*z^2 + 3*a^2*z^2 + 22*a^4*z^2 - 
   30*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 10*a^4*z^4 - 29*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5934] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 3*z^2 + 
   (4*z^2)/a^8 - (18*z^2)/a^6 + (21*z^2)/a^4 - z^2/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (21*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 5935] -> -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 5*z^2 - 
   z^2/a^2 + 23*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 + z^4 - z^4/a^2 + 
   17*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5936] -> -a^(-2) + 5*a^2 - 3*a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 5937] -> -3 - 2/a^8 + 8/a^6 - 14/a^4 + 12/a^2 - 
   14*z^2 - z^2/a^8 + (12*z^2)/a^6 - (31*z^2)/a^4 + (34*z^2)/a^2 + 
   2*a^2*z^2 - 22*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (38*z^4)/a^2 + 
   5*a^2*z^4 - 16*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 5938] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5939] -> 
  -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 4*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (34*z^2)/a^4 - (4*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (48*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (35*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 5940] -> 
  3/a^12 - 10/a^10 + 5/a^8 + 6/a^6 - 3/a^4 + (3*z^2)/a^12 - (19*z^2)/a^10 + 
   (15*z^2)/a^8 + (18*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (16*z^4)/a^8 + (21*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 5941] -> 
  -2/a^14 + 8/a^12 - 8/a^10 - 3/a^8 + 6/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (16*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (14*z^4)/a^10 - (16*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 5942] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (30*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (47*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (35*z^6)/a^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 5943] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 5944] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 16*z^2 - (7*z^2)/a^6 + (32*z^2)/a^4 - 
   (43*z^2)/a^2 + 25*z^4 - (9*z^4)/a^6 + (50*z^4)/a^4 - (75*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 5945] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 
   4*a^2 - 19*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 + 9*a^2*z^2 - 23*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (8*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 5946] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 48*z^2 + (6*z^2)/a^4 - (32*z^2)/a^2 - 
   19*a^2*z^2 + 84*z^4 + (9*z^4)/a^4 - (52*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 5947] -> 5 - 2/a^2 - 2*a^2 + 16*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 9*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (9*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 5948] -> -1 + 6*a^4 - 4*a^6 - 6*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 16*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 
   19*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5949] -> -2*a^4 + 3*a^6 + 7*a^8 - 9*a^10 + 2*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 + 21*a^8*z^2 - 18*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 15*a^6*z^4 + 23*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 5950] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 8*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 13*a^2*z^4 + 
   7*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 5951] -> -3 + a^(-2) - 3*a^2 + 14*a^4 - 8*a^6 - 
   11*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 36*a^4*z^2 - 16*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 + 38*a^4*z^4 - 14*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5952] -> 
  -2 + 3*a^2 + 8*a^4 - 13*a^6 + 5*a^8 - 5*z^2 + 12*a^2*z^2 + 13*a^4*z^2 - 
   32*a^6*z^2 + 13*a^8*z^2 - 4*z^4 + 17*a^2*z^4 + 2*a^4*z^4 - 35*a^6*z^4 + 
   13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5953] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 5954] -> 
  -10 - a^(-6) + a^(-4) + 5/a^2 + 9*a^2 - 4*a^4 + a^6 - 20*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 5955] -> -2*a^4 + 2*a^6 + 10*a^8 - 12*a^10 + 3*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 + 27*a^8*z^2 - 23*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 14*a^6*z^4 + 27*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 5956] -> 
  12 - 3/a^2 - 13*a^2 + 5*a^4 + 39*z^2 - (8*z^2)/a^2 - 53*a^2*z^2 + 
   20*a^4*z^2 + 55*z^4 - (9*z^4)/a^2 - 87*a^2*z^4 + 29*a^4*z^4 + 39*z^6 - 
   (5*z^6)/a^2 - 74*a^2*z^6 + 20*a^4*z^6 + 14*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 5957] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 13*z^2 - 
   (4*z^2)/a^4 + (17*z^2)/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 - 20*a^2*z^4 + 10*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 5958] -> 
  -2 + 6*a^2 - 3*a^4 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 5959] -> 13 + a^(-6) - 2/a^4 - 5/a^2 - 6*a^2 + 
   33*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - (6*z^2)/a^2 - 15*a^2*z^2 + 37*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 5960] -> 
  -12 - 2/a^4 + 7/a^2 + 13*a^2 - 5*a^4 - 29*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 32*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 33*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 5961] -> 
  2 - a^(-6) + 3/a^4 - 4/a^2 + 3*a^2 - 2*a^4 + 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 5962] -> -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 
   6/a^10 - z^2/a^18 + (15*z^2)/a^16 - (37*z^2)/a^14 + (9*z^2)/a^12 + 
   (23*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (31*z^4)/a^14 + 
   (20*z^4)/a^12 + (32*z^4)/a^10 + (5*z^4)/a^8 - (8*z^6)/a^14 + 
   (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 5963] -> 
  -5 + 2/a^8 - 7/a^6 + 2/a^4 + 9/a^2 - 10*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (6*z^2)/a^4 + (25*z^2)/a^2 - 2*a^2*z^2 - 4*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (10*z^4)/a^4 + (28*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (15*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 5964] -> -2 + a^(-10) - 3/a^8 + 2/a^4 + 3/a^2 - 
   4*z^2 + z^2/a^10 - (5*z^2)/a^8 - z^2/a^6 + (9*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 + z^4/a^6 + (11*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 5965] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 9*z^2 - 
   (5*z^2)/a^6 + (25*z^2)/a^4 - (31*z^2)/a^2 + 2*a^2*z^2 + 6*z^4 - 
   (4*z^4)/a^6 + (31*z^4)/a^4 - (48*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (35*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 5966] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 6*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (13*z^2)/a^2 + a^2*z^2 + 3*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (17*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 5967] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   4/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + 
   (11*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5968] -> -4*a^2 + 11*a^4 - 6*a^6 - 4*z^2 + z^2/a^2 - 
   6*a^2*z^2 + 28*a^4*z^2 - 12*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   30*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 18*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5969] -> -1 - a^(-8) + 4/a^6 - 3/a^4 + 2*a^2 - 
   10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5970] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5971] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 63*z^2 + (9*z^2)/a^4 - (44*z^2)/a^2 - 
   23*a^2*z^2 + 91*z^4 + (10*z^4)/a^4 - (58*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 5972] -> -2*a^4 + a^6 + 14*a^8 - 17*a^10 + 5*a^12 - 
   7*a^4*z^2 + 4*a^6*z^2 + 48*a^8*z^2 - 43*a^10*z^2 + 8*a^12*z^2 - 
   9*a^4*z^4 + 8*a^6*z^4 + 63*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 9*a^6*z^6 + 41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 5973] -> 11 + 2/a^6 - 6/a^4 - 6*a^2 + 29*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 - 15*a^2*z^2 + 34*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 - 14*a^2*z^4 + 21*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 5974] -> 
  1 + a^(-6) - 3/a^4 + a^(-2) + 4*a^2 - 3*a^4 + 8*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + 8*a^2*z^2 - 6*a^4*z^2 + 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 5975] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 14*z^2 - 
   (6*z^2)/a^6 + (27*z^2)/a^4 - (36*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + 
   (48*z^4)/a^4 - (71*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - 
   (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 5976] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + 
   (11*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 5977] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5978] -> -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + 
   z^2 + (4*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   2*z^4 - (6*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^2 + z^6 + (4*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 5979] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (23*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 5980] -> a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + a^(-6) + 
   2/a^4 - (4*z^2)/a^12 + (11*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 + (6*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 5981] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   26*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   31*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 5982] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 5983] -> 
  -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 5984] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 - z^4/a^8 + 
   (20*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 5985] -> -a^(-18) + 6/a^16 - 10/a^14 + 3/a^12 + 
   a^(-10) + 2/a^8 + (5*z^2)/a^16 - (17*z^2)/a^14 + (5*z^2)/a^12 + 
   (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (8*z^4)/a^14 + (7*z^4)/a^12 + 
   (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 5986] -> 
  -2 + a^(-10) - 4/a^8 + 4/a^6 - 3/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 5987] -> -a^(-14) + 5/a^12 - 7/a^10 + 
   4/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - (13*z^2)/a^10 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - 
   (8*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 5988] -> -a^(-12) + a^(-10) + 7/a^8 - 13/a^6 + 5/a^4 + 
   2/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 - (30*z^2)/a^6 + 
   (8*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (6*z^4)/a^8 - 
   (31*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (16*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 5989] -> 1 - a^(-12) + 2/a^10 + a^(-8) - 
   a^(-6) - 4/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 + (3*z^2)/a^8 - 
   (8*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - z^4/a^8 - 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 5990] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 5991] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 5992] -> 
  3 - a^(-2) - 5*a^2 + 8*a^4 - 4*a^6 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   6*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   13*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 5993] -> 
  -5 + a^(-2) + 7*a^2 - 2*a^6 - 8*z^2 + z^2/a^4 - (2*z^2)/a^2 + 16*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 16*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 5994] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 16*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 
   3*a^4*z^2 - 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 + 7*a^4*z^4 - 
   6*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 5995] -> -a^2 + 2*a^4 - 3*a^6 + 12*a^8 - 12*a^10 + 
   3*a^12 - 3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 26*a^8*z^2 - 21*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 8*a^6*z^4 + 23*a^8*z^4 - 
   13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 10*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 5996] -> -4 + a^(-6) - 4/a^4 + 5/a^2 + 6*a^2 - 3*a^4 - 
   18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 25*z^4 + z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 5997] -> 
  -1 + 9*a^4 - 10*a^6 + 3*a^8 - 3*z^2 + 4*a^2*z^2 + 17*a^4*z^2 - 23*a^6*z^2 + 
   8*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 8*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 5998] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 7*z^2 + 
   14*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 20*a^2*z^4 - 4*a^4*z^4 - 
   5*a^6*z^4 + 4*a^8*z^4 - z^6 + 11*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 5999] -> -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - 
   z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6000] -> 
  2 - a^(-2) - 3*a^2 + 7*a^4 - 4*a^6 + 6*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   13*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   7*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6001] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 3*z^2 - 
   z^2/a^4 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - 
   a^6*z^6, Knot[15, Alternating, 6002] -> -1 + 3/a^8 - 13/a^6 + 15/a^4 - 
   3/a^2 - 4*z^2 + (6*z^2)/a^8 - (33*z^2)/a^6 + (45*z^2)/a^4 - (8*z^2)/a^2 - 
   6*z^4 + (4*z^4)/a^8 - (34*z^4)/a^6 + (56*z^4)/a^4 - (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (37*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6003] -> -6 - a^(-8) + 4/a^6 - 4/a^4 + 4/a^2 + 4*a^2 - 
   19*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (17*z^2)/a^2 + 
   6*a^2*z^2 - 20*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6004] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 36*z^2 + 
   (6*z^2)/a^4 - (27*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - 
   (48*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6005] -> 
  -3 - 2/a^6 + 8/a^4 - 6/a^2 + 4*a^2 - 18*z^2 - (5*z^2)/a^6 + (22*z^2)/a^4 - 
   (17*z^2)/a^2 + 12*a^2*z^2 - 28*z^4 - (4*z^4)/a^6 + (23*z^4)/a^4 - 
   (21*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (15*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 6006] -> 
  -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 11*z^2 + z^2/a^2 + 31*a^2*z^2 - 
   30*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 35*a^2*z^4 - 
   30*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 6007] -> -4 - a^(-8) + 3/a^6 - a^(-2) + 4*a^2 - 
   9*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^2 + 6*a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - z^4/a^4 - (13*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 6008] -> -7 - 2/a^4 + 6/a^2 + 7*a^2 - 
   4*a^4 + a^6 - 17*z^2 - z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 + 16*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6009] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6010] -> -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (26*z^2)/a^8 - (33*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (48*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (35*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 6011] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 
   3/a^2 - z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + (31*z^2)/a^4 - (10*z^2)/a^2 - 
   5*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (47*z^4)/a^4 - (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6012] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (11*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 6013] -> 
  -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 13*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 + 
   16*a^4*z^2 - 9*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 + 22*a^4*z^4 - 
   10*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6014] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 43*z^2 + 
   (7*z^2)/a^4 - (32*z^2)/a^2 - 16*a^2*z^2 + 75*z^4 + (9*z^4)/a^4 - 
   (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6015] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (13*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 6016] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 21*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 6017] -> 5 - a^(-6) + 6/a^4 - 9/a^2 + 
   19*z^2 - (6*z^2)/a^6 + (32*z^2)/a^4 - (48*z^2)/a^2 + 28*z^4 - 
   (9*z^4)/a^6 + (52*z^4)/a^4 - (84*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + 
   (39*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 6018] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^6 + (14*z^2)/a^4 - (13*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^4 - (15*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 6019] -> 
  -1 - a^(-8) + 4/a^6 - 3/a^4 + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6020] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 6021] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6022] -> 
  1 + 3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (13*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 6023] -> 
  -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 2*a^2 - 19*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (26*z^2)/a^4 + (30*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6024] -> 
  5 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 8*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 6025] -> -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 
   2*a^2 - 21*z^2 - z^2/a^8 + (9*z^2)/a^6 - (25*z^2)/a^4 + (33*z^2)/a^2 + 
   5*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (36*z^4)/a^2 + 
   6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 6026] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 4*z^2 + z^2/a^2 - 6*a^2*z^2 + 28*a^4*z^2 - 
   12*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + a^2*z^4 + 30*a^4*z^4 - 11*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 6*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6027] -> 
  -2 + 6*a^2 - 3*a^4 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 6028] -> -1 + 5/a^8 - 21/a^6 + 25/a^4 - 7/a^2 - 
   6*z^2 + (9*z^2)/a^8 - (51*z^2)/a^6 + (70*z^2)/a^4 - (14*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (47*z^4)/a^6 + (80*z^4)/a^4 - (4*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (19*z^6)/a^6 + (48*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (15*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6029] -> 2/a^10 - 6/a^8 + 9/a^4 - 4/a^2 - 2*z^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (6*z^2)/a^6 + (23*z^2)/a^4 - (8*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 + (25*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 + (14*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 6030] -> -a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 4/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (14*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6031] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (12*z^2)/a^10 + (7*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6032] -> -2 + a^(-10) - 5/a^8 + 8/a^6 - 8/a^4 + 
   7/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6033] -> 
  3/a^12 - 11/a^10 + 11/a^8 - 3/a^6 + a^(-4) + (5*z^2)/a^12 - (29*z^2)/a^10 + 
   (38*z^2)/a^8 - (7*z^2)/a^6 + (4*z^4)/a^12 - (31*z^4)/a^10 + (51*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (35*z^6)/a^8 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 6034] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   z^2/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (7*z^4)/a^8 + (18*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6035] -> 
  30 + 5/a^4 - 22/a^2 - 12*a^2 + 96*z^2 + (14*z^2)/a^4 - (68*z^2)/a^2 - 
   35*a^2*z^2 + 133*z^4 + (14*z^4)/a^4 - (84*z^4)/a^2 - 42*a^2*z^4 + 
   100*z^6 + (6*z^6)/a^4 - (52*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 6036] -> 4 + 2/a^4 - 7/a^2 + 7*a^2 - 5*a^4 + 11*z^2 + 
   (5*z^2)/a^4 - (20*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 17*z^4 + 
   (4*z^4)/a^4 - (22*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 6037] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 - 23*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 
   16*z^6 - z^6/a^6 + (7*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 6038] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 2*z^2 + 
   7*a^2*z^2 - a^4*z^2 + 19*z^4 - (4*z^4)/a^2 - 25*a^2*z^4 + 11*a^4*z^4 + 
   25*z^6 - (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 
   26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 6039] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 
   5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6040] -> -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (8*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (13*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6041] -> -8 - a^(-8) + 5/a^6 - 8/a^4 + 9/a^2 + 4*a^2 - 
   21*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (24*z^2)/a^2 + 
   6*a^2*z^2 - 21*z^4 - z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + 
   (29*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6042] -> -8 - a^(-4) + 4/a^2 + 12*a^2 - 8*a^4 + 
   2*a^6 - 27*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 31*a^2*z^2 - 15*a^4*z^2 + 
   2*a^6*z^2 - 33*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 31*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 6043] -> -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 
   11*z^2 + z^2/a^2 + 31*a^2*z^2 - 30*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (2*z^4)/a^2 + 35*a^2*z^4 - 30*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6044] -> 
  25 + 4/a^4 - 18/a^2 - 10*a^2 + 70*z^2 + (10*z^2)/a^4 - (49*z^2)/a^2 - 
   25*a^2*z^2 + 95*z^4 + (10*z^4)/a^4 - (60*z^4)/a^2 - 30*a^2*z^4 + 75*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 6045] -> 12 - 3/a^2 - 13*a^2 + 5*a^4 + 39*z^2 - 
   (8*z^2)/a^2 - 53*a^2*z^2 + 20*a^4*z^2 + 55*z^4 - (9*z^4)/a^2 - 
   87*a^2*z^4 + 29*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 74*a^2*z^6 + 20*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 6046] -> 
  -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 13*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 - 
   11*a^2*z^2 + 8*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 - 
   20*a^2*z^4 + 10*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6047] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6048] -> 
  7 - 2/a^6 + 10/a^4 - 14/a^2 + 21*z^2 - (7*z^2)/a^6 + (37*z^2)/a^4 - 
   (55*z^2)/a^2 + 29*z^4 - (9*z^4)/a^6 + (54*z^4)/a^4 - (88*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 6049] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 
   4*a^2 - 16*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 
   22*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 6050] -> 
  -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (17*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - 
   (20*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (13*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6051] -> -2*a^2 + 7*a^4 - 4*a^6 - 4*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 20*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6052] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 21*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 6053] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 
   55*z^2 + (7*z^2)/a^4 - (37*z^2)/a^2 - 21*a^2*z^2 + 88*z^4 + (9*z^4)/a^4 - 
   (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6054] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (8*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (13*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 6055] -> 
  -8 - a^(-4) + 4/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 23*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 29*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6056] -> 
  -9 + a^(-6) - 5/a^4 + 9/a^2 + 8*a^2 - 3*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (24*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6057] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 5*z^2 - 28*a^2*z^2 + 47*a^4*z^2 - 18*a^6*z^2 + 
   8*z^4 - 47*a^2*z^4 + 78*a^4*z^4 - 26*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 
   69*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 6058] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 14*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 + 18*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6059] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (25*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6060] -> -7 - 2/a^4 + 6/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   17*z^2 - z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6061] -> -6 - a^(-8) + 5/a^6 - 12/a^4 + 14/a^2 + a^2 - 
   19*z^2 - z^2/a^8 + (9*z^2)/a^6 - (26*z^2)/a^4 + (35*z^2)/a^2 + 4*a^2*z^2 - 
   25*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (37*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 6062] -> -8 - a^(-6) + a^(-4) + 4/a^2 + 
   7*a^2 - 2*a^4 - 16*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 6063] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + 2/a^12 + 3/a^10 + a^(-8) - z^2/a^18 + 
   (12*z^2)/a^16 - (32*z^2)/a^14 + (12*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^4)/a^16 - (29*z^4)/a^14 + (22*z^4)/a^12 + 
   (28*z^4)/a^10 + (6*z^4)/a^8 - (8*z^6)/a^14 + (16*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 6064] -> 3/a^12 - 11/a^10 + 9/a^8 + a^(-6) - a^(-4) + 
   (5*z^2)/a^12 - (29*z^2)/a^10 + (35*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (31*z^4)/a^10 + (50*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (16*z^6)/a^10 + (35*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 6065] -> -1 + 4/a^8 - 17/a^6 + 20/a^4 - 
   5/a^2 - 4*z^2 + (6*z^2)/a^8 - (36*z^2)/a^6 + (51*z^2)/a^4 - (10*z^2)/a^2 - 
   6*z^4 + (4*z^4)/a^8 - (34*z^4)/a^6 + (58*z^4)/a^4 - (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (37*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6066] -> -a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 4/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (14*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6067] -> -2 + a^(-10) - 5/a^8 + 8/a^6 - 8/a^4 + 
   7/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6068] -> 
  -1 + 4/a^8 - 17/a^6 + 20/a^4 - 5/a^2 - 4*z^2 + (6*z^2)/a^8 - (36*z^2)/a^6 + 
   (51*z^2)/a^4 - (10*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (34*z^4)/a^6 + 
   (58*z^4)/a^4 - (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (37*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 6069] -> 
  3 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 6070] -> -1 + 4*a^2 - 7*a^4 + 12*a^6 - 9*a^8 + 
   2*a^10 - 3*z^2 + 13*a^2*z^2 - 23*a^4*z^2 + 32*a^6*z^2 - 16*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 16*a^2*z^4 - 29*a^4*z^4 + 32*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 6071] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 + 5*z^2 - 
   28*a^2*z^2 + 47*a^4*z^2 - 18*a^6*z^2 + 8*z^4 - 47*a^2*z^4 + 78*a^4*z^4 - 
   26*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 69*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 6072] -> 2 - a^(-2) + a^2 - a^4 + 10*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 25*z^4 - (5*z^4)/a^2 - 32*a^2*z^4 + 
   12*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 6073] -> 1 + 6*z^2 - (2*z^2)/a^6 + 
   (10*z^2)/a^4 - (14*z^2)/a^2 + 15*z^4 - (5*z^4)/a^6 + (27*z^4)/a^4 - 
   (41*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - (47*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 6074] -> 
  9 - 3/a^6 + 14/a^4 - 19/a^2 + 31*z^2 - (11*z^2)/a^6 + (56*z^2)/a^4 - 
   (81*z^2)/a^2 + 41*z^4 - (13*z^4)/a^6 + (78*z^4)/a^4 - (126*z^4)/a^2 + 
   26*z^6 - (6*z^6)/a^6 + (51*z^6)/a^4 - (99*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (16*z^8)/a^4 - (43*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 6075] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 - 
   7*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 27*a^4*z^2 - 12*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 + 28*a^4*z^4 - 11*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   10*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6076] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 8*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 13*a^2*z^4 + 
   7*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6077] -> 8 - a^(-8) + 2/a^6 + 6/a^4 - 14/a^2 + 
   16*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - (34*z^2)/a^2 + 
   14*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (11*z^4)/a^4 - (36*z^4)/a^2 + 
   6*z^6 - z^6/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 - (21*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 6078] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 - 7*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 27*a^4*z^2 - 12*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 + 28*a^4*z^4 - 11*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6079] -> 
  -8 - a^(-4) + 4/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 23*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 29*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6080] -> 
  -9 + a^(-6) - 5/a^4 + 9/a^2 + 8*a^2 - 3*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (24*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6081] -> 
  25 + 4/a^4 - 18/a^2 - 10*a^2 + 70*z^2 + (10*z^2)/a^4 - (49*z^2)/a^2 - 
   25*a^2*z^2 + 95*z^4 + (10*z^4)/a^4 - (60*z^4)/a^2 - 30*a^2*z^4 + 75*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 6082] -> -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - 
   (2*z^2)/a^14 + (10*z^2)/a^12 - (13*z^2)/a^10 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - 
   (8*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6083] -> -2 - a^(-8) + 4/a^6 - 4/a^4 + 3/a^2 - a^2 + 
   2*a^4 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 6084] -> 
  -5 + a^(-2) + 7*a^2 - 2*a^6 - 14*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 + 
   9*a^4*z^2 - 7*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 + 18*a^4*z^4 - 
   9*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6085] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6086] -> 
  1 - 2/a^6 + 8/a^4 - 7/a^2 - a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^6 + 
   (14*z^2)/a^4 - (14*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (9*z^4)/a^4 - (11*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 6087] -> -a^(-8) + 3/a^6 - 2/a^2 - a^2 + 2*a^4 - 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 6088] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 6089] -> 
  -1 + 9*a^4 - 10*a^6 + 3*a^8 - 3*z^2 + 4*a^2*z^2 + 17*a^4*z^2 - 23*a^6*z^2 + 
   8*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 8*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6090] -> 5 - 3/a^6 + 10/a^4 - 11/a^2 + 11*z^2 - 
   (5*z^2)/a^6 + (28*z^2)/a^4 - (37*z^2)/a^2 + 2*a^2*z^2 + 6*z^4 - 
   (4*z^4)/a^6 + (31*z^4)/a^4 - (50*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (35*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 6091] -> -2/a^6 + 3/a^4 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (11*z^2)/a^6 + (8*z^2)/a^4 - (3*z^4)/a^10 + (18*z^4)/a^8 - (25*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 + 
   (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 6092] -> 
  1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 - z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (37*z^2)/a^4 - (12*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (49*z^4)/a^4 - (7*z^4)/a^2 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (35*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 6093] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - (25*z^2)/a^6 + (35*z^2)/a^4 - 
   (13*z^2)/a^2 + (8*z^4)/a^8 - (46*z^4)/a^6 + (72*z^4)/a^4 - (25*z^4)/a^2 + 
   (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 6094] -> 
  2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 - 2*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (20*z^2)/a^4 - (5*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (21*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 6095] -> 
  5 - 2/a^2 - 2*a^2 + 22*z^2 + (2*z^2)/a^4 - (13*z^2)/a^2 - 9*a^2*z^2 + 
   46*z^4 + (5*z^4)/a^4 - (28*z^4)/a^2 - 16*a^2*z^4 + 48*z^6 + (4*z^6)/a^4 - 
   (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6096] -> 
  -1 + 6*a^4 - 4*a^6 + 2*z^2 - 19*a^2*z^2 + 40*a^4*z^2 - 17*a^6*z^2 + 7*z^4 - 
   42*a^2*z^4 + 76*a^4*z^4 - 26*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 69*a^4*z^6 - 
   19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 6097] -> 
  3 - a^(-2) - 5*a^2 + 8*a^4 - 4*a^6 - 8*a^2*z^2 + 23*a^4*z^2 - 10*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 - a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6098] -> 
  3 + 2/a^4 - 4/a^2 + 15*z^2 - (4*z^2)/a^6 + (23*z^2)/a^4 - (36*z^2)/a^2 + 
   25*z^4 - (8*z^4)/a^6 + (45*z^4)/a^4 - (73*z^4)/a^2 + 19*z^6 - 
   (5*z^6)/a^6 + (37*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 6099] -> 5 - a^(-6) + 6/a^4 - 9/a^2 + 
   3*z^2 - (3*z^2)/a^6 + (16*z^2)/a^4 - (22*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (22*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (13*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 6100] -> 
  -a^4 - 2*a^6 + 16*a^8 - 16*a^10 + 4*a^12 - 5*a^4*z^2 - 2*a^6*z^2 + 
   51*a^8*z^2 - 39*a^10*z^2 + 6*a^12*z^2 - 8*a^4*z^4 + 4*a^6*z^4 + 
   64*a^8*z^4 - 37*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 
   41*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 6101] -> 
  -3*a^4 + 7*a^6 + 2*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 - 6*a^4*z^2 + 
   20*a^6*z^2 + 9*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 22*a^6*z^4 + 12*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 6102] -> -8 - a^(-8) + 5/a^6 - 8/a^4 + 
   9/a^2 + 4*a^2 - 21*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + 
   (24*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (27*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6103] -> 
  1 + 14*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 6*a^2*z^2 + 41*z^4 + 
   (5*z^4)/a^4 - (27*z^4)/a^2 - 15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - 
   (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6104] -> 
  1 + 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6105] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 9*z^2 + z^2/a^8 - z^2/a^6 - (12*z^2)/a^4 + 
   (23*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (3*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 6106] -> 2 - a^(-2) + a^2 - 4*a^4 + 
   6*a^6 - 3*a^8 - z^2/a^2 + 12*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 6*z^4 + z^4/a^2 + 20*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6107] -> 
  -3*a^4 + 6*a^6 + 5*a^8 - 10*a^10 + 3*a^12 - 10*a^4*z^2 + 20*a^6*z^2 + 
   19*a^8*z^2 - 22*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 8*a^4*z^4 + 25*a^6*z^4 + 
   23*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 15*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 6108] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + 
   (8*z^2)/a^8 - (39*z^2)/a^6 + (54*z^2)/a^4 - (19*z^2)/a^2 + (9*z^4)/a^8 - 
   (55*z^4)/a^6 + (87*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 6109] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 
   10*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + z^2/a^4 + (20*z^2)/a^2 - 11*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (10*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6110] -> -2*a^2 + 7*a^4 - 4*a^6 - 4*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 20*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6111] -> 6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - z^2/a^4 + 
   z^2/a^2 - 14*a^2*z^2 + 6*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   21*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6112] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 - 
   5*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 22*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6113] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (9*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 6114] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (9*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 6115] -> -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 
   13*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 + 16*a^4*z^2 - 9*a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 + 22*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6116] -> 
  2 + a^(-8) - 5/a^6 + 8/a^4 - 5/a^2 + z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (18*z^2)/a^4 - (9*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (17*z^4)/a^4 - z^4/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 6117] -> -a^(-10) + 4/a^8 - 3/a^6 - 
   3/a^4 + 4/a^2 - (3*z^2)/a^10 + (13*z^2)/a^8 - (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (10*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - (13*z^4)/a^6 - (22*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (11*z^6)/a^6 - (16*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 6118] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6119] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6120] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (16*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6121] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - a^4 - 20*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6122] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6123] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (25*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6124] -> 
  -6 - a^(-8) + 5/a^6 - 12/a^4 + 14/a^2 + a^2 - 19*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (26*z^2)/a^4 + (35*z^2)/a^2 + 4*a^2*z^2 - 25*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (37*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 6125] -> -8 - a^(-6) + a^(-4) + 4/a^2 + 
   7*a^2 - 2*a^4 - 16*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 6126] -> 
  2/a^10 - 9/a^8 + 14/a^6 - 10/a^4 + 4/a^2 - z^2 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (34*z^2)/a^6 - (30*z^2)/a^4 + (12*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (31*z^4)/a^6 - (35*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (20*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6127] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (12*z^2)/a^10 + (7*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6128] -> -1 + 5/a^8 - 21/a^6 + 25/a^4 - 7/a^2 - 
   6*z^2 + (9*z^2)/a^8 - (51*z^2)/a^6 + (70*z^2)/a^4 - (14*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (47*z^4)/a^6 + (80*z^4)/a^4 - (4*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (19*z^6)/a^6 + (48*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (15*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6129] -> 3/a^12 - 11/a^10 + 11/a^8 - 3/a^6 + a^(-4) + 
   (5*z^2)/a^12 - (29*z^2)/a^10 + (38*z^2)/a^8 - (7*z^2)/a^6 + (4*z^4)/a^12 - 
   (31*z^4)/a^10 + (51*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (16*z^6)/a^10 + (35*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (13*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6130] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (7*z^4)/a^8 + (18*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6131] -> 2/a^10 - 6/a^8 + 9/a^4 - 4/a^2 - 2*z^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (6*z^2)/a^6 + (23*z^2)/a^4 - (8*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 + (25*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 + (14*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 6132] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 55*z^2 + 
   (7*z^2)/a^4 - (37*z^2)/a^2 - 21*a^2*z^2 + 88*z^4 + (9*z^4)/a^4 - 
   (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6133] -> 
  -1 + 6*a^4 - 4*a^6 + 2*z^2 - 19*a^2*z^2 + 40*a^4*z^2 - 17*a^6*z^2 + 7*z^4 - 
   42*a^2*z^4 + 76*a^4*z^4 - 26*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 69*a^4*z^6 - 
   19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 6134] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 15*z^2 - (3*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 
   29*z^4 - (5*z^4)/a^2 - 45*a^2*z^4 + 16*a^4*z^4 + 27*z^6 - (4*z^6)/a^2 - 
   48*a^2*z^6 + 14*a^4*z^6 + 12*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 6135] -> 
  3 - a^(-2) - 5*a^2 + 8*a^4 - 4*a^6 - 8*a^2*z^2 + 23*a^4*z^2 - 10*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 - a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6136] -> 
  7 - 2/a^6 + 10/a^4 - 14/a^2 + 21*z^2 - (7*z^2)/a^6 + (37*z^2)/a^4 - 
   (55*z^2)/a^2 + 29*z^4 - (9*z^4)/a^6 + (54*z^4)/a^4 - (88*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 6137] -> -a^4 - 2*a^6 + 16*a^8 - 16*a^10 + 
   4*a^12 - 5*a^4*z^2 - 2*a^6*z^2 + 51*a^8*z^2 - 39*a^10*z^2 + 6*a^12*z^2 - 
   8*a^4*z^4 + 4*a^6*z^4 + 64*a^8*z^4 - 37*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 8*a^6*z^6 + 41*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 6138] -> -3*a^4 + 7*a^6 + 2*a^8 - 7*a^10 + 2*a^12 - 
   a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 + 9*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 22*a^6*z^4 + 12*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 6139] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 20*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   6*a^2*z^2 + 2*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 6*a^2*z^4 + 
   6*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6140] -> -1 + 6*a^4 - 4*a^6 - 6*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 16*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 
   19*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6141] -> -2*a^4 + 3*a^6 + 7*a^8 - 9*a^10 + 2*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 + 21*a^8*z^2 - 18*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 15*a^6*z^4 + 23*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 6142] -> 
  30 + 5/a^4 - 22/a^2 - 12*a^2 + 96*z^2 + (14*z^2)/a^4 - (68*z^2)/a^2 - 
   35*a^2*z^2 + 133*z^4 + (14*z^4)/a^4 - (84*z^4)/a^2 - 42*a^2*z^4 + 
   100*z^6 + (6*z^6)/a^4 - (52*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 6143] -> 4 + 2/a^4 - 7/a^2 + 7*a^2 - 5*a^4 + 11*z^2 + 
   (5*z^2)/a^4 - (20*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 17*z^4 + 
   (4*z^4)/a^4 - (22*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 6144] -> 
  -4 + 11*a^2 - 8*a^4 + 3*a^6 - a^8 - 5*z^2 - z^2/a^2 + 22*a^2*z^2 - 
   17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 16*a^2*z^4 - 
   17*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6145] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 9*z^2 - (5*z^2)/a^6 + (25*z^2)/a^4 - 
   (31*z^2)/a^2 + 2*a^2*z^2 + 6*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - 
   (48*z^4)/a^2 + 5*a^2*z^4 - 3*z^6 - z^6/a^6 + (16*z^6)/a^4 - (35*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 6146] -> 
  3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (2*z^2)/a^4 - (13*z^2)/a^2 + a^2*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 - (17*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 6147] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 14*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6148] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 3*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + (10*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 6149] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 
   4*a^2 - 16*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 
   22*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 6150] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 - z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6151] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6152] -> 
  3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 6*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (8*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (9*z^4)/a^4 - (17*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 6153] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 + z^4/a^12 - 
   (6*z^4)/a^10 + (5*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6154] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (7*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (11*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 6155] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 7*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6156] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 9*z^2 + z^2/a^8 - z^2/a^6 - (12*z^2)/a^4 + 
   (23*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (3*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 6157] -> 1 + 14*z^2 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 - 6*a^2*z^2 + 41*z^4 + (5*z^4)/a^4 - (27*z^4)/a^2 - 
   15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 6158] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + 
   z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (12*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6159] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   (11*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6160] -> -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 9*a^2*z^4 + 
   5*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6161] -> -2 - 2/a^4 + 6/a^2 - 4*a^2 + 3*a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 18*a^2*z^2 + 9*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6162] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 6163] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6164] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 16*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6165] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 10/a^10 - 6/a^8 + 4/a^6 + (5*z^2)/a^14 - 
   (22*z^2)/a^12 + (30*z^2)/a^10 - (19*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   (10*z^4)/a^12 + (30*z^4)/a^10 - (24*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6166] -> -3 + 2/a^6 - 9/a^4 + 11/a^2 + a^2 - a^4 - 
   7*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 + z^4/a^6 - (12*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6167] -> 
  4 + a^(-8) - 4/a^6 + 4/a^4 - 2/a^2 - 2*a^2 + 8*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 6168] -> -a^(-6) + 3/a^4 - 3/a^2 + 5*a^2 - 4*a^4 + 
   a^6 - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6169] -> a^(-12) - 4/a^10 + 4/a^8 + 2/a^6 - 6/a^4 + 
   4/a^2 - z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (13*z^2)/a^4 + (9*z^2)/a^2 - 
   2*z^4 + (6*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 6170] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (27*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6171] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (14*z^2)/a^8 + (22*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (26*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6172] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 6/a^12 + 8/a^10 + (5*z^2)/a^16 - 
   (13*z^2)/a^14 - (8*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   (8*z^4)/a^14 + (2*z^4)/a^12 + (22*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 6173] -> -3 + 2/a^8 - 8/a^6 + 6/a^4 + 4/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (13*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (12*z^4)/a^6 + (13*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 6174] -> 
  a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 - 
   z^2/a^6 + (12*z^2)/a^4 + z^2/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (11*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 6175] -> -4 + a^(-2) + a^2 + 9*a^4 - 
   6*a^6 - 15*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 + 30*a^4*z^2 - 15*a^6*z^2 - 
   18*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6176] -> 
  -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 9*z^2 + z^2/a^4 - z^2/a^2 + 
   12*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   13*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6177] -> 2 - 2/a^4 + 5/a^2 - 9*a^2 + 5*a^4 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 - 29*a^2*z^2 + 14*a^4*z^2 - 6*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 36*a^2*z^4 + 14*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6178] -> 
  2 - a^(-2) + 3*a^4 - 5*a^6 + 2*a^8 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 6*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6179] -> 
  1 - a^(-6) + 2/a^4 + a^(-2) - 6*a^2 + 4*a^4 - 5*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - 11*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - 8*a^2*z^4 + 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 6180] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   18*z^2 - z^2/a^8 + (6*z^2)/a^6 - (18*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 
   19*z^4 - z^4/a^8 + (7*z^4)/a^6 - (22*z^4)/a^4 + (33*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6181] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6182] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   7*a^4*z^2 - 4*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 6183] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (20*z^2)/a^6 - (27*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (34*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6184] -> 5 - 2/a^2 - 3*a^2 + a^4 + a^6 - a^8 + 9*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6185] -> 
  -a^(-4) + 2/a^2 - 2*a^2 + 4*a^4 - 2*a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 6186] -> -1 + 2/a^10 - 9/a^8 + 13/a^6 - 9/a^4 + 
   5/a^2 - 4*z^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (29*z^2)/a^4 + 
   (18*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (35*z^4)/a^4 + 
   (25*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6187] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 2/a^2 - z^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 6188] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - (6*z^2)/a^6 + (19*z^2)/a^4 - (4*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + (13*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6189] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6190] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6191] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 7*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6192] -> 1 - 2/a^4 + 5/a^2 - 5*a^2 + 2*a^6 + 3*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 16*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 + z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 17*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 6193] -> -a^(-6) + 2/a^4 + a^(-2) - 2*a^2 - a^4 + 
   2*a^6 - 4*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 6194] -> -5 + a^(-6) - 4/a^4 + 6/a^2 + 5*a^2 - 2*a^4 - 
   22*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 30*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6195] -> 
  -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 15*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 + 
   18*a^4*z^2 - 10*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 + 24*a^4*z^4 - 
   10*a^6*z^4 - 10*z^6 + z^6/a^2 + 10*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6196] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 9*z^2 + 
   z^2/a^4 - z^2/a^2 + 15*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 14*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6197] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + z^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (12*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6198] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   (11*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6199] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 16*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6200] -> 
  -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 12*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + 
   19*a^4*z^2 - 10*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 + 26*a^4*z^4 - 
   10*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6201] -> -2 - 2/a^4 + 6/a^2 - 4*a^2 + 3*a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 18*a^2*z^2 + 9*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6202] -> 
  -a^2 + 2*a^4 - 2*a^6 + 9*a^8 - 9*a^10 + 2*a^12 - 3*a^2*z^2 + 3*a^4*z^2 + 
   6*a^6*z^2 + 17*a^8*z^2 - 15*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 15*a^6*z^4 + 14*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 11*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 6203] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - 2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6204] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (15*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6205] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (21*z^4)/a^6 - (14*z^4)/a^4 + 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 + 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6206] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (27*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6207] -> 
  4 - a^(-4) - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 6208] -> -9 + 2/a^2 + 10*a^2 + 2*a^4 - 4*a^6 - 
   22*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 + 16*a^4*z^2 - 11*a^6*z^2 - 21*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 + 25*a^4*z^4 - 11*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   12*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6209] -> 
  -4 + 12*a^2 - 6*a^4 - 4*a^6 + 3*a^8 - 8*z^2 + 26*a^2*z^2 - 11*a^4*z^2 - 
   16*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 24*a^2*z^4 - 12*a^4*z^4 - 23*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 11*a^2*z^6 - 10*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6210] -> 5 - 2/a^2 - a^2 - 3*a^6 + 2*a^8 + 9*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - 
   z^4/a^2 - a^2*z^4 - 9*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 6211] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 
   2*a^6 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6212] -> 
  2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 12*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (12*z^2)/a^2 - 8*a^2*z^2 + 20*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (13*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 6213] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + 2*a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 6214] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (20*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6215] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 24*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (24*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 32*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (26*z^4)/a^2 + 15*a^2*z^4 - 2*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6216] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6217] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (19*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (22*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 6218] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (21*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (23*z^4)/a^6 - (25*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 6219] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (17*z^2)/a^6 - (24*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (28*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6220] -> -a^(-14) + 5/a^12 - 10/a^10 + 6/a^8 + 
   a^(-6) - (6*z^2)/a^14 + (24*z^2)/a^12 - (34*z^2)/a^10 + (16*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^4)/a^14 + (34*z^4)/a^12 - (47*z^4)/a^10 + 
   (10*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (36*z^6)/a^10 - 
   (4*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 6221] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (10*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6222] -> -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (15*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6223] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - (6*z^2)/a^6 + (19*z^2)/a^4 - (4*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + (13*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6224] -> 9 - 4/a^2 - 4*a^2 + 20*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6225] -> -4 - 3/a^4 + 8/a^2 - a^2 + a^6 - 
   15*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 
   15*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6226] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   14*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 6227] -> -2 - a^(-6) + a^(-4) + 3/a^2 - a^2 + a^6 - 
   8*z^2 - z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6228] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6229] -> 
  3/a^12 - 11/a^10 + 9/a^8 + a^(-6) - a^(-4) + (7*z^2)/a^12 - (37*z^2)/a^10 + 
   (41*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^12 - (41*z^4)/a^10 + 
   (61*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^12 - (19*z^6)/a^10 + 
   (43*z^6)/a^8 + (12*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (15*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6230] -> 2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (16*z^2)/a^10 + (11*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (13*z^4)/a^8 + (21*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6231] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (19*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (5*z^4)/a^8 + (23*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (13*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6232] -> -a^(-14) + 6/a^12 - 11/a^10 + 5/a^8 + 2/a^6 - 
   (6*z^2)/a^14 + (26*z^2)/a^12 - (37*z^2)/a^10 + (13*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^4)/a^14 + (35*z^4)/a^12 - (50*z^4)/a^10 + (7*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (37*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 6233] -> 
  3/a^12 - 10/a^10 + 8/a^8 + (7*z^2)/a^12 - (34*z^2)/a^10 + (37*z^2)/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 + (5*z^4)/a^12 - (38*z^4)/a^10 + (55*z^4)/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (39*z^6)/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 6234] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - z^2/a^10 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (2*z^4)/a^10 - (14*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6235] -> 
  -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - (7*z^2)/a^10 + (32*z^2)/a^8 - 
   (37*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^10 + (38*z^4)/a^8 - 
   (54*z^4)/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (39*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6236] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 4*z^2 + 
   (7*z^2)/a^8 - (30*z^2)/a^6 + (35*z^2)/a^4 - (5*z^2)/a^2 - 8*z^4 + 
   (5*z^4)/a^8 - (37*z^4)/a^6 + (51*z^4)/a^4 - 5*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (38*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6237] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - (6*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 6238] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6239] -> -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (13*z^2)/a^12 - (16*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - 
   (4*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6240] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (16*z^2)/a^10 + (16*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (17*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6241] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 6242] -> 1 - 2/a^10 + 7/a^8 - 7/a^6 + a^(-4) + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (16*z^2)/a^8 - (16*z^2)/a^6 - 
   (2*z^2)/a^4 + 3*z^4 - z^4/a^10 + (12*z^4)/a^8 - (17*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6243] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (15*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (12*z^4)/a^6 + (15*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 6244] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - a^2*z^2 - (3*z^4)/a^8 + (6*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 6245] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6246] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 9*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 
   13*z^4 - z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (31*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6247] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (26*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   31*z^4 + z^4/a^6 - (10*z^4)/a^4 + (28*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6248] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 11*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (24*z^2)/a^4 + (29*z^2)/a^2 + a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (26*z^4)/a^4 + (34*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6249] -> 
  10 - 3/a^2 - 9*a^2 + 3*a^4 + 40*z^2 - (10*z^2)/a^2 - 47*a^2*z^2 + 
   17*a^4*z^2 + 60*z^4 - (12*z^4)/a^2 - 81*a^2*z^4 + 26*a^4*z^4 + 43*z^6 - 
   (6*z^6)/a^2 - 70*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 6250] -> 5 - 2/a^6 + 8/a^4 - 10/a^2 + 20*z^2 - 
   (9*z^2)/a^6 + (40*z^2)/a^4 - (53*z^2)/a^2 + 29*z^4 - (12*z^4)/a^6 + 
   (62*z^4)/a^4 - (90*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 6251] -> 
  5 - a^(-4) + a^(-2) - 7*a^2 + 3*a^4 + 7*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   21*a^2*z^2 + 9*a^4*z^2 + z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6252] -> -a^(-10) + 6/a^8 - 11/a^6 + 7/a^4 - 
   (7*z^2)/a^10 + (34*z^2)/a^8 - (50*z^2)/a^6 + (23*z^2)/a^4 - 
   (11*z^4)/a^10 + (56*z^4)/a^8 - (84*z^4)/a^6 + (28*z^4)/a^4 - 
   (6*z^6)/a^10 + (42*z^6)/a^8 - (71*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 6253] -> 
  -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (4*z^2)/a^10 + (17*z^2)/a^8 - 
   (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (19*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (12*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6254] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 4*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 
   6*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (21*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6255] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (21*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6256] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 10*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6257] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (23*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (29*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (17*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6258] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6259] -> 4 - a^(-4) - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6260] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 11*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 6261] -> 
  2 - 2/a^8 + 5/a^6 - a^(-4) - 4/a^2 + a^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (11*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (20*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6262] -> 1 - 2/a^4 + 4/a^2 - 3*a^2 + a^6 - 6*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6263] -> 
  -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 7*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6264] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (12*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (10*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6265] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (12*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (10*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6266] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (4*z^4)/a^6 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6267] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 
   4*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 
   7*z^4 - z^4/a^4 + (11*z^4)/a^2 - 19*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 - 13*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 
   3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 6268] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + z^2 + (5*z^2)/a^10 - 
   (18*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   (9*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6269] -> -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 6270] -> 
  -4 + 13*a^2 - 10*a^4 + a^6 + a^8 - 8*z^2 + 29*a^2*z^2 - 22*a^4*z^2 - 
   3*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 27*a^2*z^4 - 23*a^4*z^4 - 12*a^6*z^4 + 
   8*a^8*z^4 - z^6 + 12*a^2*z^6 - 15*a^4*z^6 - 13*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6271] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 9*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - 
   z^4/a^2 - 13*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6272] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6273] -> 
  1 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 6274] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (10*z^2)/a^10 - (4*z^2)/a^8 + (20*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (16*z^4)/a^10 + (4*z^4)/a^8 + (23*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (8*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6275] -> 2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 2/a^2 - 
   2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (19*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (28*z^4)/a^6 - 
   (27*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (17*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6276] -> a^(-12) - 2/a^10 - a^(-8) + 
   2/a^6 + a^(-4) + (2*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6277] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6278] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 24*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (24*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (30*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6279] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   23*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 31*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   25*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 6280] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 11*z^2 - 
   (5*z^2)/a^6 + (19*z^2)/a^4 - (14*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (15*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 6281] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (21*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6282] -> 
  -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6283] -> 
  -2 + 2*a^2 + 6*a^4 - 6*a^6 + a^8 - 5*z^2 + 5*a^2*z^2 + 19*a^4*z^2 - 
   17*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 16*a^4*z^4 - 19*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 8*a^2*z^6 + 2*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6284] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (21*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (37*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6285] -> 4/a^12 - 14/a^10 + 13/a^8 - 2/a^6 + 
   (8*z^2)/a^12 - (41*z^2)/a^10 + (50*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^4)/a^12 - (41*z^4)/a^10 + (66*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (42*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 6286] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - 
   a^4 - 11*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 10*z^4 + (3*z^4)/a^4 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6287] -> -5 - 2/a^8 + 6/a^6 - 6/a^4 + 5/a^2 + 3*a^2 - 
   21*z^2 - z^2/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 + 
   7*a^2*z^2 - 29*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (30*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 6288] -> 
  -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 17*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (22*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 6289] -> -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 
   3/a^2 - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + (24*z^2)/a^6 - 
   (17*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (28*z^4)/a^6 - 
   (22*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6290] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6291] -> -1 - a^(-6) + 3/a^2 - 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6292] -> -a^(-12) + 2/a^10 + 2/a^8 - 7/a^6 + 4/a^4 + 
   a^(-2) - (3*z^2)/a^12 + (11*z^2)/a^10 - (2*z^2)/a^8 - (14*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (14*z^4)/a^8 - 
   (8*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + 
   (2*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 6293] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + 
   (2*z^4)/a^10 - (21*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 6294] -> -a^(-12) + 2/a^10 + a^(-8) - 
   3/a^6 - a^(-4) + 3/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 - z^6/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 6295] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (22*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6296] -> 
  1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6297] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6298] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 6299] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + 
   z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (12*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6300] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 6*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + 
   (26*z^2)/a^4 + (2*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (43*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 6301] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6302] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 6*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (17*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 6303] -> -7 - a^(-8) + 3/a^6 - 3/a^4 + 5/a^2 + 4*a^2 - 
   21*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + 
   6*a^2*z^2 - 21*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6304] -> 7 - 3/a^6 + 12/a^4 - 15/a^2 + 22*z^2 - 
   (11*z^2)/a^6 + (47*z^2)/a^4 - (61*z^2)/a^2 + 29*z^4 - (13*z^4)/a^6 + 
   (66*z^4)/a^4 - (93*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 6305] -> 
  -5 - 2/a^6 + 6/a^4 - 2/a^2 + 4*a^2 - 19*z^2 - (5*z^2)/a^6 + (17*z^2)/a^4 - 
   (7*z^2)/a^2 + 10*a^2*z^2 - 24*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (11*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 6306] -> 
  -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - (3*z^2)/a^10 + (12*z^2)/a^8 - 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   (10*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (8*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6307] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 6308] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6309] -> 
  1 + 10*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - (24*z^2)/a^2 + 19*z^4 - 
   (8*z^4)/a^6 + (39*z^4)/a^4 - (56*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + 
   (33*z^6)/a^4 - (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 6310] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 61*z^2 + 
   (9*z^2)/a^4 - (43*z^2)/a^2 - 23*a^2*z^2 + 95*z^4 + (12*z^4)/a^4 - 
   (63*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - (44*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6311] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 27*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (9*z^2)/a^2 - 12*a^2*z^2 + 31*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 6312] -> -4 + a^(-2) + a^2 + 9*a^4 - 6*a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + 30*a^4*z^2 - 15*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6313] -> 
  -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 9*z^2 + z^2/a^4 - z^2/a^2 + 
   12*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   13*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6314] -> -12 - 2/a^4 + 7/a^2 + 16*a^2 - 11*a^4 + 
   3*a^6 - 31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 37*a^2*z^2 - 24*a^4*z^2 + 
   6*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6315] -> 
  -2 + 2/a^10 - 9/a^8 + 15/a^6 - 14/a^4 + 9/a^2 - 6*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (33*z^2)/a^6 - (39*z^2)/a^4 + (26*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (24*z^4)/a^6 - (41*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (20*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6316] -> 
  -2/a^12 + 9/a^10 - 14/a^8 + 9/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (18*z^2)/a^10 - (32*z^2)/a^8 + (24*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (32*z^4)/a^8 + (26*z^4)/a^6 - (17*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (16*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 6317] -> -8 + 2/a^6 - 10/a^4 + 15/a^2 + 3*a^2 - a^4 - 
   23*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (35*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + z^4/a^6 - (13*z^4)/a^4 + (34*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6318] -> 
  1 - a^(-12) + 3/a^10 - a^(-8) - 4/a^6 + 4/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (5*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 6319] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 6320] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6321] -> 
  9 - 4/a^2 - 4*a^2 + 20*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 - 
   6*a^2*z^2 - 2*a^4*z^2 + 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 6322] -> 4 - a^(-4) - 2*a^2 + 7*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 6323] -> -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 
   13*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 20*a^4*z^2 - 11*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 + 28*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   7*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6324] -> 
  1 - a^(-2) + 4*a^2 - 2*a^4 - 3*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 10*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 15*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6325] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 11*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6326] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6327] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6328] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   13*z^4 - (3*z^4)/a^6 + z^4/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   6*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 6329] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6330] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   z^2/a^14 + (5*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 6331] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6332] -> 4 - a^(-4) - 2*a^2 + 7*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   5*z^4 - (3*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 6333] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 6334] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2 + z^2/a^12 - (6*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 6335] -> 
  2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 2/a^4 + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   z^2/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (7*z^4)/a^8 + (26*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (14*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6336] -> 
  -a^(-12) + 2/a^10 + 3/a^8 - 8/a^6 + 3/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (10*z^2)/a^10 + (4*z^2)/a^8 - (23*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (11*z^4)/a^10 - (4*z^4)/a^8 - (27*z^4)/a^6 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 6337] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6338] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6339] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) - z^2 + z^2/a^12 - (5*z^2)/a^10 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + 
   (2*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 6340] -> 
  1 - a^(-12) + 2/a^10 + 2/a^8 - 5/a^6 + a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 + (2*z^2)/a^8 - (10*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (10*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 6341] -> -1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 
   5/a^2 - 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (26*z^4)/a^6 - (29*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 6342] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6343] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (20*z^2)/a^6 - (27*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (34*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6344] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (21*z^4)/a^6 - (12*z^4)/a^4 + 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6345] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 11*z^2 - 
   z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   10*z^4 + (3*z^4)/a^4 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6346] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6347] -> -1 - a^(-6) + 3/a^2 - 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6348] -> -13 - 3/a^4 + 10/a^2 + 10*a^2 - 3*a^4 - 
   34*z^2 + z^2/a^6 - (7*z^2)/a^4 + (24*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 
   37*z^4 + z^4/a^6 - (7*z^4)/a^4 + (24*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 
   21*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6349] -> 
  a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - z^2/a^14 - (2*z^2)/a^12 + 
   (14*z^2)/a^10 - (22*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (8*z^4)/a^10 - (24*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (2*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6350] -> 
  -a^(-12) + 2/a^10 + 2/a^8 - 7/a^6 + 4/a^4 + a^(-2) - (3*z^2)/a^12 + 
   (11*z^2)/a^10 - (2*z^2)/a^8 - (14*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^12 + (12*z^4)/a^10 - (14*z^4)/a^8 - (8*z^4)/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (2*z^6)/a^6 - (8*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 6351] -> -a^(-12) + 2/a^10 + a^(-8) - 3/a^6 - a^(-4) + 
   3/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 - z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 6352] -> 
  2 - a^(-8) + a^(-6) + 4/a^4 - 6/a^2 + a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 6353] -> 6 - a^(-4) - 5*a^2 + a^6 + 
   4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 11*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   10*z^4 - z^4/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6354] -> 
  1 - 2/a^4 + 4/a^2 - 3*a^2 + a^6 - 5*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6355] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 2*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 19*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 13*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 6356] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 
   7*z^2 - z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 6357] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 6358] -> -6 + a^(-2) + 9*a^2 - a^4 - 
   2*a^6 - 20*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 - 
   22*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 + 15*a^4*z^4 - 9*a^6*z^4 - 11*z^6 + 
   z^6/a^2 + 16*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6359] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 6360] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 20*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 24*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 - 14*a^2*z^4 + 
   9*a^4*z^4 - 16*z^6 - z^6/a^4 + (11*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6361] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 12*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6362] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 
   17*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   17*z^4 - z^4/a^6 + (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 6363] -> 2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + 
   (5*z^2)/a^12 - (15*z^2)/a^10 + (3*z^2)/a^8 + (18*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (18*z^4)/a^10 + (8*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6364] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + (13*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6365] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (23*z^2)/a^6 - (24*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - (30*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6366] -> -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (4*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (25*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6367] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6368] -> -3 + 7*a^2 - 3*a^4 + a^6 - a^8 + z^2 - 
   z^2/a^4 + 9*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 4*a^4*z^6 - 
   a^6*z^6, Knot[15, Alternating, 6369] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 24*z^2 + z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 19*a^2*z^2 - 
   5*a^4*z^2 - 27*z^4 + z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6370] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 - (6*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6371] -> -7 - 3/a^4 + 9/a^2 + a^2 + a^4 - 9*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6372] -> 
  -5 - a^(-8) + 3/a^6 - 4/a^4 + 6/a^2 + a^2 + a^4 - 11*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6373] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 6374] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 13*a^2*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6375] -> -2/a^10 + 9/a^8 - 12/a^6 + 4/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (18*z^2)/a^8 - (20*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (16*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (9*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6376] -> -1 + 3/a^6 - 12/a^4 + 13/a^2 - 2*a^2 + 
   4*z^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + (29*z^2)/a^2 - 7*a^2*z^2 + 14*z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (29*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (17*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6377] -> 
  5 + a^(-6) - 3/a^4 - a^2 - a^4 + 12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - 
   3*a^4*z^2 + 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 6378] -> 
  -4 + 10*a^2 - 4*a^4 - 2*a^6 + a^8 - 8*z^2 + 23*a^2*z^2 - 8*a^4*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 11*a^4*z^4 - 11*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 11*a^2*z^6 - 10*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6379] -> 5 - 2/a^2 - 5*a^2 + 8*a^4 - 7*a^6 + 2*a^8 + 
   9*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 12*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 + 
   7*z^4 - z^4/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6380] -> 4 - 2/a^2 + a^2 - 4*a^4 + 3*a^6 - a^8 + 
   8*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 + 7*z^4 - 
   z^4/a^2 + a^2*z^4 - 13*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 8*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 6381] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^8*z^2 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 6382] -> 
  -3 + a^(-10) - 3/a^8 + a^(-6) - a^(-4) + 6/a^2 - 4*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6383] -> -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 
   6/a^10 - z^2/a^18 + (15*z^2)/a^16 - (39*z^2)/a^14 + (13*z^2)/a^12 + 
   (21*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (34*z^4)/a^14 + 
   (28*z^4)/a^12 + (29*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 6384] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + a^(-12) + 3/a^8 + (5*z^2)/a^16 - 
   (16*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (9*z^4)/a^12 + (12*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 6385] -> -6 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + 
   2*a^2 - 14*z^2 - z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (22*z^4)/a^4 + (26*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6386] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   25*z^2 + z^2/a^6 - (7*z^2)/a^4 + (21*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   27*z^4 + z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6387] -> 
  -8 - a^(-6) + 2/a^4 + 3/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 16*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6388] -> -3 - 2/a^4 + 6/a^2 - 2*a^4 + 2*a^6 - 14*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 13*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6389] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 8*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6390] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 11/a^8 + 6/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (28*z^2)/a^10 - (30*z^2)/a^8 + (21*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (34*z^4)/a^8 + (27*z^4)/a^6 - (5*z^4)/a^4 + (6*z^6)/a^10 - 
   (19*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 6391] -> 
  a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - (4*z^2)/a^12 + 
   (7*z^2)/a^10 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 
   (6*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^8 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6392] -> 1 + a^(-10) - 6/a^8 + 12/a^6 - 10/a^4 + 
   3/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (24*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - 
   (25*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6393] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 
   11/a^2 - 8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (25*z^2)/a^4 + 
   (24*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + 
   (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6394] -> 4/a^12 - 14/a^10 + 13/a^8 - 2/a^6 + 
   (8*z^2)/a^12 - (41*z^2)/a^10 + (48*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^4)/a^12 - (41*z^4)/a^10 + (63*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (41*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 6395] -> 4/a^12 - 14/a^10 + 13/a^8 - 
   2/a^6 + (8*z^2)/a^12 - (41*z^2)/a^10 + (48*z^2)/a^8 - (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^4)/a^12 - (41*z^4)/a^10 + (63*z^4)/a^8 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (41*z^6)/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 6396] -> 
  3/a^12 - 11/a^10 + 11/a^8 - 3/a^6 + a^(-4) + (3*z^2)/a^12 - (19*z^2)/a^10 + 
   (22*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (19*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6397] -> 
  3/a^12 - 11/a^10 + 11/a^8 - 3/a^6 + a^(-4) + (3*z^2)/a^12 - (19*z^2)/a^10 + 
   (22*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (19*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6398] -> 
  2 - a^(-6) + 3/a^4 - 2/a^2 - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6399] -> 
  2/a^10 - 8/a^8 + 12/a^6 - 9/a^4 + 4/a^2 - 2*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (30*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (30*z^4)/a^6 - (31*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6400] -> 2 + a^(-10) - 3/a^8 + 2/a^6 + 2/a^4 - 3/a^2 + 
   4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6401] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   32*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   35*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 6402] -> 
  -7 + a^(-2) + 15*a^2 - 10*a^4 + 2*a^6 - 18*z^2 + (3*z^2)/a^2 + 36*a^2*z^2 - 
   24*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 18*z^4 + (3*z^4)/a^2 + 37*a^2*z^4 - 
   25*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 6403] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6404] -> 
  -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6405] -> 
  -8 - a^(-4) + 3/a^2 + 15*a^2 - 10*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 36*a^2*z^2 - 21*a^4*z^2 + 4*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 37*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 6406] -> a^(-12) - 10/a^8 + 14/a^6 - 
   4/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 - (14*z^2)/a^8 + (36*z^2)/a^6 - 
   (10*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 - (3*z^4)/a^8 + 
   (36*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (18*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6407] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (18*z^2)/a^6 - 
   (11*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (14*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6408] -> 
  -2 + 6*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 
   2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6409] -> 
  -2 - 2/a^4 + 6/a^2 - 4*a^2 + 3*a^4 - 3*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   14*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   16*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 6410] -> -3 - a^(-6) + 2/a^4 + 2/a^2 - a^2 + 2*a^4 - 
   7*z^2 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 6411] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + 4*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6412] -> 2 - a^(-10) + 4/a^8 - 4/a^6 + a^(-4) - 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 - (6*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 6413] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (21*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6414] -> 
  -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6415] -> 
  -1 - 3*a^2 + 15*a^4 - 13*a^6 + 3*a^8 - 4*z^2 - 2*a^2*z^2 + 33*a^4*z^2 - 
   27*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 24*a^4*z^4 - 23*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 8*a^2*z^6 + 4*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6416] -> -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 4*z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6417] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 2*z^2 - 
   (4*z^2)/a^6 + (14*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   (4*z^4)/a^6 + (24*z^4)/a^4 - (28*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 6418] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - z^2/a^8 + 
   z^2/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (13*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 6419] -> 4/a^8 - 16/a^6 + 19/a^4 - 6/a^2 - 2*z^2 + 
   (8*z^2)/a^8 - (40*z^2)/a^6 + (54*z^2)/a^4 - (15*z^2)/a^2 - 5*z^4 + 
   (5*z^4)/a^8 - (40*z^4)/a^6 + (64*z^4)/a^4 - (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (41*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6420] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + (17*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (18*z^4)/a^4 - (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (11*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 6421] -> -a^(-12) + 4/a^10 - 8/a^8 + 11/a^6 - 10/a^4 + 
   5/a^2 - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + (29*z^2)/a^6 - 
   (27*z^2)/a^4 + (10*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (31*z^4)/a^6 - 
   (32*z^4)/a^4 + (8*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (19*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6422] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6423] -> 
  2 - 2/a^8 + 5/a^6 - a^(-4) - 4/a^2 + a^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (11*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (20*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6424] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 15*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 34*z^4 + 
   (4*z^4)/a^4 - (26*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 6425] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 11*z^2 + z^2/a^6 - (8*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 16*z^4 + z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 6426] -> 
  -5 - 2/a^4 + 6/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 20*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 19*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 25*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 28*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6427] -> 
  -3/a^10 + 14/a^8 - 21/a^6 + 11/a^4 - (10*z^2)/a^10 + (46*z^2)/a^8 - 
   (65*z^2)/a^6 + (27*z^2)/a^4 - (12*z^4)/a^10 + (62*z^4)/a^8 - 
   (91*z^4)/a^6 + (29*z^4)/a^4 - (6*z^6)/a^10 + (43*z^6)/a^8 - (72*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 6428] -> -2/a^10 + 8/a^8 - 8/a^6 - a^(-4) + 4/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (18*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (19*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (12*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6429] -> -a^(-10) + 2/a^8 + 5/a^6 - 13/a^4 + 8/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - (31*z^2)/a^4 + (14*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6430] -> a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 6/a^2 - 
   4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (24*z^2)/a^6 - (33*z^2)/a^4 + 
   (19*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (36*z^4)/a^4 + 
   (26*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6431] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 6432] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   8*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6433] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (17*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (12*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 6434] -> 
  -1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 6/a^2 - z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6435] -> 2 + a^(-6) - 5/a^4 + 5/a^2 - 
   2*a^2 + z^2 + z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + z^4/a^4 + (11*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 4*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 6436] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 6*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (23*z^4)/a^4 + (23*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6437] -> -6 + a^(-2) + 9*a^2 - a^4 - 2*a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 + 17*a^4*z^4 - 8*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6438] -> 
  -a^2 + a^4 + 2*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 3*a^2*z^2 + 2*a^4*z^2 + 
   9*a^6*z^2 + 14*a^8*z^2 - 15*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 14*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 6439] -> 1 - a^(-6) + 3/a^4 - 2/a^2 + 
   a^2 - 3*a^4 + 2*a^6 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 6440] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 19*z^2 - z^2/a^6 + z^2/a^4 + 
   (9*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 15*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 6441] -> 
  -7 - a^(-8) + 4/a^6 - 8/a^4 + 11/a^2 + a^2 + a^4 - 15*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (24*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 6442] -> 4 + a^(-6) - 4/a^4 + 2/a^2 - a^2 - a^4 + 
   3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6443] -> 
  -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - (29*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 6444] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6445] -> 5/a^12 - 18/a^10 + 18/a^8 - 4/a^6 + 
   (8*z^2)/a^12 - (44*z^2)/a^10 + (56*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^4)/a^12 - (41*z^4)/a^10 + (68*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (42*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 6446] -> 3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 
   2/a^4 + (3*z^2)/a^12 - (17*z^2)/a^10 + (12*z^2)/a^8 + (15*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + 
   (18*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6447] -> a^(-10) - 2/a^8 - 5/a^6 + 11/a^4 - 4/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 - (3*z^2)/a^6 + (23*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 + 
   (15*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6448] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6449] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6450] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (6*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - (23*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6451] -> -a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 3/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (14*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6452] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^14 + z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 6453] -> 2/a^10 - 7/a^8 + 6/a^6 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 + (3*z^2)/a^10 - (18*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (22*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6454] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (7*z^2)/a^8 + (25*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (28*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6455] -> a^(-14) - 4/a^12 + 6/a^10 - 
   6/a^8 + 3/a^6 + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (13*z^2)/a^10 - 
   (14*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (6*z^4)/a^10 - (14*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 6456] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   6*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + (32*z^2)/a^4 - 9*z^4 + (4*z^4)/a^8 - 
   (31*z^4)/a^6 + (45*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (16*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6457] -> 2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (13*z^2)/a^10 + (11*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (15*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6458] -> -3 - 4/a^4 + 8/a^2 - 6*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 - (4*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (22*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 6459] -> 2/a^12 - 7/a^10 + 6/a^8 - 
   a^(-6) + a^(-4) + (2*z^2)/a^12 - (13*z^2)/a^10 + (14*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (12*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6460] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   32*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   35*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 6461] -> 
  -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 25*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6462] -> 
  a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 6/a^2 - 4*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (24*z^2)/a^6 - (33*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (19*z^4)/a^6 - (36*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6463] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 14*z^2 - (7*z^2)/a^6 + (30*z^2)/a^4 - 
   (39*z^2)/a^2 + 20*z^4 - (9*z^4)/a^6 + (45*z^4)/a^4 - (63*z^4)/a^2 + 
   15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - (55*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 6464] -> -3/a^10 + 14/a^8 - 21/a^6 + 
   11/a^4 - (10*z^2)/a^10 + (48*z^2)/a^8 - (69*z^2)/a^6 + (29*z^2)/a^4 - 
   (12*z^4)/a^10 + (65*z^4)/a^8 - (99*z^4)/a^6 + (32*z^4)/a^4 - 
   (6*z^6)/a^10 + (44*z^6)/a^8 - (77*z^6)/a^6 + (20*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 6465] -> 
  -a^(-10) + 3/a^8 + a^(-6) - 8/a^4 + 6/a^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (3*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (10*z^4)/a^6 - (28*z^4)/a^4 + (11*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (10*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6466] -> -3 + a^(-2) - a^2 + 10*a^4 - 6*a^6 - 10*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 27*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 30*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6467] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6468] -> 
  -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 4*z^2 - z^2/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 6469] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 
   10/a^2 - 9*z^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (26*z^2)/a^4 + 
   (28*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (30*z^4)/a^4 + 
   (33*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6470] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 6/a^6 - 8/a^4 + 5/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - 
   (6*z^6)/a^8 + (15*z^6)/a^6 - (15*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6471] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^2 - 2*a^4 + a^6 - 10*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 6472] -> 
  -7 - a^(-8) + 3/a^6 - 5/a^4 + 8/a^2 + 3*a^2 - 24*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 + 8*a^2*z^2 - 31*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (30*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 6473] -> 2 - a^(-8) + a^(-6) + 4/a^4 - 6/a^2 + 
   a^2 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - (15*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (11*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6474] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 6*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (17*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 6475] -> -2 + 4*a^2 + a^4 - 2*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6476] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6477] -> -a^2 - a^4 + 11*a^6 - 10*a^8 + 2*a^10 - 
   3*a^2*z^2 - 2*a^4*z^2 + 27*a^6*z^2 - 12*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - 
   3*a^2*z^4 + 26*a^6*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   13*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 6478] -> 2/a^10 - 8/a^8 + 12/a^6 - 9/a^4 + 4/a^2 - 
   2*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (30*z^2)/a^6 - (26*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (30*z^4)/a^6 - 
   (31*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6479] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6480] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 10/a^6 - 4/a^4 + 2/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (25*z^2)/a^8 + (30*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (34*z^4)/a^6 - (27*z^4)/a^4 + (7*z^4)/a^2 - 
   (6*z^6)/a^8 + (18*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6481] -> 
  -2/a^10 + 8/a^8 - 8/a^6 - a^(-4) + 4/a^2 - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (16*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (16*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6482] -> 2 - a^(-10) + 3/a^8 - 4/a^4 + a^(-2) + 
   4*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6483] -> 
  -9 + 2/a^2 + 12*a^2 - 2*a^4 - 2*a^6 - 22*z^2 + (5*z^2)/a^2 + 23*a^2*z^2 + 
   8*a^4*z^2 - 8*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 + 20*a^4*z^4 - 
   10*a^6*z^4 - 10*z^6 + z^6/a^2 + 12*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6484] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - 
   z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   12*z^4 + (3*z^4)/a^4 + z^4/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6485] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6486] -> 
  1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 4*z^2 - z^2/a^4 + 3*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 4*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 6487] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 8*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6488] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   a^(-4) - 2/a^2 + 3*z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^2 + 2*z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6 + (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6489] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   a^4 + 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 6490] -> 2 - a^(-10) + 2/a^8 + a^(-4) - 
   4/a^2 + a^2 - z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   z^6/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 6491] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6492] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 + z^4/a^8 - (10*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 6493] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - 
   4*a^4 + 2*a^6 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 6494] -> 4 - a^(-10) + 3/a^8 - a^(-6) - 
   4/a^2 + 5*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 - 
   (10*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6495] -> 4 + a^(-4) - 4/a^2 + 2*a^4 - 2*a^6 + 5*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6496] -> -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 25*a^2*z^2 - 18*a^4*z^2 + 
   5*a^6*z^2 - 26*z^4 - z^4/a^4 + (11*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6497] -> 
  25 + 4/a^4 - 18/a^2 - 10*a^2 + 80*z^2 + (12*z^2)/a^4 - (57*z^2)/a^2 - 
   29*a^2*z^2 + 110*z^4 + (13*z^4)/a^4 - (72*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 + 
   (6*z^6)/a^4 - (46*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 6498] -> a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - 
   (23*z^2)/a^6 + (31*z^2)/a^4 - (11*z^2)/a^2 + (8*z^4)/a^8 - (41*z^4)/a^6 + 
   (60*z^4)/a^4 - (20*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + (55*z^6)/a^4 - 
   (15*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (28*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 6499] -> -9 + 2/a^2 + 12*a^2 - 2*a^4 - 2*a^6 - 
   22*z^2 + (5*z^2)/a^2 + 23*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 - 21*z^4 + 
   (4*z^4)/a^2 + 20*a^2*z^4 + 20*a^4*z^4 - 10*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   12*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6500] -> 
  -9 + 2/a^2 + 10*a^2 + 2*a^4 - 4*a^6 - 22*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 + 
   16*a^4*z^2 - 11*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 + 25*a^4*z^4 - 
   11*a^6*z^4 - 10*z^6 + z^6/a^2 + 12*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6501] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + 
   (14*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (24*z^4)/a^4 + 
   (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6502] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 4*a^2 - 2*a^4 + a^6 - 13*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6503] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 8*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6504] -> 
  -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 13*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 
   20*a^4*z^2 - 11*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 28*a^4*z^4 - 
   11*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6505] -> a^(-14) - 5/a^12 + 11/a^10 - 14/a^8 + 8/a^6 - 
   (5*z^2)/a^12 + (20*z^2)/a^10 - (34*z^2)/a^8 + (26*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + (10*z^4)/a^10 - (30*z^4)/a^8 + (30*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (10*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6506] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6507] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 6508] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 
   9/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + 
   (23*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6509] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (22*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6510] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 22*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 30*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (31*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 6511] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + 
   (10*z^2)/a^8 - (45*z^2)/a^6 + (60*z^2)/a^4 - (21*z^2)/a^2 + (12*z^4)/a^8 - 
   (64*z^4)/a^6 + (94*z^4)/a^4 - (30*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (76*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 6512] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 5*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (22*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (22*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6513] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6514] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6515] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 
   20*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (28*z^2)/a^2 + 6*a^2*z^2 - 
   29*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (32*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 6516] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 
   4/a^2 - 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - (26*z^2)/a^4 + 
   (15*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + 
   (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6517] -> 
  -5 - a^(-6) + 2/a^4 + a^(-2) + 7*a^2 - 4*a^4 + a^6 - 10*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6518] -> -a^(-6) + 3/a^4 - 3/a^2 + 5*a^2 - 4*a^4 + 
   a^6 - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6519] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) - z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (21*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (28*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6520] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 5*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (11*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 6521] -> 
  6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 21*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (10*z^2)/a^2 - 12*a^2*z^2 + 27*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (14*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 6522] -> 
  4 + a^(-4) - 4/a^2 - 2*a^2 + 6*a^4 - 4*a^6 + 7*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6523] -> a^(-10) - 2/a^8 - 5/a^6 + 11/a^4 - 4/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 - (3*z^2)/a^6 + (23*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 + 
   (15*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6524] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 13*z^2 + 
   z^2/a^6 - (8*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6525] -> -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 
   5/a^4 + 3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + 
   (22*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6526] -> -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 
   5/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + 
   (15*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + 
   (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6527] -> 
  2/a^10 - 7/a^8 + 6/a^6 - 2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (16*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (20*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 6528] -> 
  1 + a^(-10) - 3/a^8 + 5/a^4 - 3/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 6529] -> 
  -2 - a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 6/a^2 + a^2 - 7*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 6530] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + 
   (2*z^4)/a^10 - (21*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 6531] -> -a^(-12) + 3/a^10 - 6/a^8 + 
   5/a^6 - z^2/a^14 + z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 6532] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (22*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6533] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (4*z^2)/a^8 + (19*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (26*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6534] -> -a^(-18) + 6/a^16 - 9/a^14 - 
   a^(-12) + 6/a^10 + (6*z^2)/a^16 - (20*z^2)/a^14 + (3*z^2)/a^12 + 
   (18*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (11*z^4)/a^14 + (10*z^4)/a^12 + 
   (20*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + (6*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 6535] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6536] -> 
  7 - a^(-4) + a^(-2) - 11*a^2 + 5*a^4 + 10*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   29*a^2*z^2 + 12*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 
   31*a^2*z^4 + 11*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 18*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6537] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 
   12*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (23*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + 
   (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6538] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (22*z^2)/a^8 + (15*z^2)/a^6 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (29*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^6)/a^10 - (18*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 6539] -> 
  1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   13*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 10*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6540] -> 
  -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 5/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (23*z^2)/a^6 - (26*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (33*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6541] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 8/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (24*z^2)/a^8 + (27*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (31*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6542] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 8/a^10 - 2/a^8 + 2/a^6 + (5*z^2)/a^14 - 
   (22*z^2)/a^12 + (25*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - 
   (10*z^4)/a^12 + (26*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (9*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6543] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6544] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6545] -> 
  -5 + a^(-8) - a^(-6) - 7/a^4 + 13/a^2 - 12*z^2 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 - (10*z^2)/a^4 + (30*z^2)/a^2 - 11*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 - (2*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6546] -> 6 - a^(-4) + a^(-2) - 7*a^2 + 2*a^6 + 9*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 17*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 16*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 6547] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 61*z^2 + 
   (9*z^2)/a^4 - (43*z^2)/a^2 - 23*a^2*z^2 + 95*z^4 + (12*z^4)/a^4 - 
   (63*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - (44*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6548] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 27*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (9*z^2)/a^2 - 12*a^2*z^2 + 31*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 6549] -> 2/a^14 - 8/a^12 + 12/a^10 - 11/a^8 + 6/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (28*z^2)/a^10 - (30*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (34*z^4)/a^8 + (27*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^6)/a^10 - (19*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 6550] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 7*a^2 - 
   4*a^4 + a^6 - 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 6551] -> -a^(-18) + 5/a^16 - 5/a^14 - 
   6/a^12 + 8/a^10 + (5*z^2)/a^16 - (13*z^2)/a^14 - (8*z^2)/a^12 + 
   (22*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (8*z^4)/a^14 + (2*z^4)/a^12 + 
   (22*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + (4*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 6552] -> 
  -3 + 2/a^8 - 8/a^6 + 6/a^4 + 4/a^2 - 6*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (13*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (13*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 6553] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6554] -> 
  3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   17*a^2*z^2 + 8*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 20*a^2*z^4 + 
   8*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6555] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 - a^2 + 
   2*a^4 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 6556] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (8*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 9*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 2*z^8 - 
   z^8/a^2, Knot[15, Alternating, 6557] -> -a^(-12) + 5/a^10 - 9/a^8 + 
   5/a^6 + a^(-4) + (5*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (12*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6558] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (13*z^2)/a^8 + (19*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (21*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6559] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (14*z^2)/a^8 + (22*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (26*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6560] -> 
  -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 3*z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 6561] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 11*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 6562] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (20*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6563] -> 4 + a^(-4) - 4/a^2 - 2*a^2 + 6*a^4 - 
   4*a^6 + 7*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 15*a^4*z^2 - 
   7*a^6*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 + 13*a^4*z^4 - 
   4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 6564] -> 
  5 - 2/a^2 - 2*a^2 + 3*a^4 - 6*a^6 + 3*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 14*a^6*z^2 + 6*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6565] -> -a^(-4) + 2/a^2 + a^2 - 3*a^6 + 2*a^8 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + (2*z^4)/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 6566] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (16*z^2)/a^10 - (20*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 + (10*z^4)/a^10 - 
   (22*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (9*z^6)/a^8 + 
   (9*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6567] -> 2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6568] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 6569] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6570] -> 
  2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 4*z^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6571] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - z^2/a^14 + (4*z^2)/a^12 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (9*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 6572] -> 
  -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^8 + z^4/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 6573] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6574] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - 
   a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6575] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) - 
   z^2 + z^2/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 - z^4 - (3*z^4)/a^10 + z^4/a^8 + (13*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 6576] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (10*z^4)/a^8 + (18*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6577] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (5*z^2)/a^4 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6578] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - 
   z^2 + z^2/a^12 - (5*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 6579] -> a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (12*z^4)/a^8 - (8*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6580] -> 5 - a^(-8) + 2/a^6 + 3/a^4 - 8/a^2 + 11*z^2 - 
   (4*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - (23*z^2)/a^2 + 10*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 - (26*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 6581] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6582] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 4*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6583] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (20*z^2)/a^10 - (18*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (24*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 + 
   (6*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - (4*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 6584] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (20*z^2)/a^10 - (20*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (27*z^4)/a^8 + (17*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^6)/a^10 - (17*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 6585] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^12 + (6*z^2)/a^10 - (19*z^2)/a^8 + 
   (25*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (29*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6586] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + 
   a^2 - a^4 + 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 6587] -> 2 - a^(-10) + 2/a^8 + a^(-4) - 
   4/a^2 + a^2 - z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   z^6/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 6588] -> 
  3 - a^(-6) + 2/a^4 - a^(-2) - 3*a^2 + a^6 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - 6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 6589] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (8*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (10*z^4)/a^8 + (18*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6590] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - 7*a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 6591] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (15*z^2)/a^10 - (18*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + (9*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (7*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6592] -> 
  -4 + a^(-8) - 4/a^6 + 4/a^4 + 2/a^2 + 2*a^2 - 12*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6593] -> 
  5 - 2/a^2 - a^2 - a^4 - a^6 + a^8 + 9*z^2 - (3*z^2)/a^2 - a^2*z^2 - 
   5*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 
   9*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6594] -> -a^(-4) + 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 
   (2*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 6595] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 13*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 
   15*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 6*a^4*z^4 - 
   2*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6596] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6597] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6598] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 17*z^2 + 
   (3*z^2)/a^2 + 31*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 35*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 20*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6599] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6600] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   15*z^2 - z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6601] -> 
  -a^(-8) + 2/a^6 + 2/a^4 - 4/a^2 + 2*a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 6602] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 
   2*a^6 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 6603] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 
   3*a^4 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 6604] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - z^2 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (20*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6605] -> 
  1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 4*z^2 - z^2/a^4 + 3*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 4*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 6606] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 6607] -> 2 - a^(-2) - 3*a^2 + 8*a^4 - 
   6*a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 + 10*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6608] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6609] -> 
  3/a^12 - 10/a^10 + 8/a^8 + (3*z^2)/a^12 - (17*z^2)/a^10 + (15*z^2)/a^8 + 
   (9*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (13*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6610] -> 
  -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6611] -> 
  a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (14*z^2)/a^8 + (25*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (22*z^4)/a^6 - (16*z^4)/a^4 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6612] -> -5 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   5/a^2 + 3*a^2 - 12*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 6613] -> -3 + a^(-10) - 4/a^8 + 5/a^6 - 
   6/a^4 + 8/a^2 - 8*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - 
   (23*z^2)/a^4 + (25*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (30*z^4)/a^4 + (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6614] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^14 + z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (3*z^4)/a^10 - (11*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 6615] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (4*z^2)/a^8 + (19*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (26*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6616] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   a^4 + 7*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 10*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 6617] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 
   3/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + (11*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6618] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 - z^2/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 6619] -> 3 + a^(-4) - 4/a^2 + 4*a^2 - 
   3*a^4 + 4*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 12*a^2*z^4 - 2*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6620] -> -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (15*z^2)/a^6 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (14*z^4)/a^8 - (15*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (9*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6621] -> 7 - a^(-8) + a^(-6) + 7/a^4 - 13/a^2 + 
   12*z^2 - (4*z^2)/a^8 + (10*z^2)/a^6 + (7*z^2)/a^4 - (29*z^2)/a^2 + 
   10*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - (28*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 6622] -> -5 - a^(-8) + 2/a^6 + a^(-4) + 4*a^2 - 
   10*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 6623] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + z^2 - 6*a^2*z^2 + 14*a^4*z^2 - 
   6*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 19*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6624] -> 
  -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 32*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (28*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6625] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 8/a^6 - 2/a^4 + a^(-2) - (3*z^2)/a^12 + 
   (15*z^2)/a^10 - (27*z^2)/a^8 + (24*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (30*z^4)/a^8 + (27*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (16*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 6626] -> -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + 
   z^2 - z^2/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + z^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6627] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6628] -> 
  -4 - 2/a^6 + 5/a^4 - a^(-2) + 4*a^2 - 2*a^4 + a^6 - 10*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6629] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6630] -> -1 + 2/a^10 - 8/a^8 + 9/a^6 - 4/a^4 + 3/a^2 - 
   4*z^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (29*z^2)/a^6 - (17*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 + z^4/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - 
   (24*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (16*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6631] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 
   2/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6632] -> -a^(-12) + 5/a^10 - 9/a^8 + 
   7/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^12 + (15*z^2)/a^10 - (26*z^2)/a^8 + 
   (22*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - 
   (30*z^4)/a^8 + (26*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (16*z^6)/a^8 + (16*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 6633] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 2*z^2 + (3*z^2)/a^10 - 
   (18*z^2)/a^8 + (31*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - (27*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6634] -> 1 - a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + 
   2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 6635] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 6636] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (6*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 + (2*z^4)/a^10 - (23*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6637] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 6*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (23*z^4)/a^4 + (23*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6638] -> 2/a^10 - 7/a^8 + 6/a^6 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 + (3*z^2)/a^10 - (18*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (22*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6639] -> 
  -2 + 4*a^2 + 4*a^4 - 8*a^6 + 3*a^8 - 5*z^2 + 12*a^2*z^2 + 6*a^4*z^2 - 
   18*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 19*a^6*z^4 + 7*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6640] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + 
   (10*z^2)/a^8 - (45*z^2)/a^6 + (60*z^2)/a^4 - (21*z^2)/a^2 + (12*z^4)/a^8 - 
   (64*z^4)/a^6 + (94*z^4)/a^4 - (30*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (76*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 6641] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 5*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (22*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (22*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6642] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 + z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 
   25*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6643] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 3/a^8 + a^(-6) + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (24*z^2)/a^10 - (17*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (27*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 + 
   (6*z^6)/a^10 - (18*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 6644] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + z^2/a^10 - (9*z^2)/a^8 + 
   (23*z^2)/a^6 - (21*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (29*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6645] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6646] -> -9 - 4/a^4 + 12/a^2 + a^2 + a^6 - 25*z^2 - 
   (4*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - 28*z^4 - 
   z^4/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6647] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   22*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 6648] -> -2/a^6 + 5/a^4 - 2/a^2 - a^2 + a^6 - z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6649] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6650] -> -1 + 2/a^10 - 7/a^8 + 5/a^6 + a^(-4) + 
   a^(-2) - 4*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (16*z^2)/a^6 + 
   (6*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + (22*z^4)/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6651] -> -1 + a^(-10) - 3/a^8 + 3/a^4 + 
   a^(-2) - z^2 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6652] -> 1 - a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + 
   (15*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (14*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6653] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6654] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 26*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6655] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 23*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (24*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (26*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + z^6/a^6 - (9*z^6)/a^4 + (14*z^6)/a^2 - 
   2*a^2*z^6 + 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 6656] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 6657] -> 
  2/a^6 - 5/a^4 + 4/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (9*z^4)/a^6 - 
   (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (8*z^6)/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 6658] -> 
  -2/a^4 + 5/a^2 - 5*a^2 + 3*a^4 - 7*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 - 
   13*a^2*z^2 + 7*a^4*z^2 - 13*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 
   15*a^2*z^4 + 7*a^4*z^4 - 11*z^6 - z^6/a^4 + (10*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6659] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 15*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6660] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (23*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6661] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + (22*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (29*z^4)/a^6 - 
   (14*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (12*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6662] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (19*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (22*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6663] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^12 + 
   (6*z^2)/a^10 - (19*z^2)/a^8 + (23*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6664] -> 
  1 - 3/a^6 + 10/a^4 - 9/a^2 + 2*a^2 - z^2 - (7*z^2)/a^6 + (36*z^2)/a^4 - 
   (40*z^2)/a^2 + 9*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + (41*z^4)/a^4 - 
   (60*z^4)/a^2 + 12*a^2*z^4 - 12*z^6 - z^6/a^6 + (19*z^6)/a^4 - 
   (43*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - (15*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 6665] -> 
  1 - a^(-8) + a^(-6) + 5/a^4 - 7/a^2 + 2*a^2 + z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 + (6*z^2)/a^4 - (22*z^2)/a^2 + 5*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (3*z^4)/a^4 - (26*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (14*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 6666] -> -1 - 3/a^6 + 9/a^4 - 6/a^2 + 
   a^2 + a^4 - 9*z^2 - (4*z^2)/a^6 + (21*z^2)/a^4 - (17*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - 15*z^4 - z^4/a^6 + (15*z^4)/a^4 - (20*z^4)/a^2 - 3*a^2*z^4 + 
   4*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - (11*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 
   2*z^8 - (2*z^8)/a^2 - a^2*z^8, Knot[15, Alternating, 6667] -> 
  -1 - a^(-8) + a^(-6) + 4/a^4 - 4/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 6668] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 + 
   2*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6669] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 25*z^2 - 
   (5*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 28*z^4 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 17*z^6 - z^6/a^4 + (11*z^6)/a^2 - 
   8*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 6670] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 
   7/a^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (25*z^2)/a^4 + (11*z^2)/a^2 + 4*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (27*z^4)/a^4 + z^4/a^2 + 4*z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (16*z^6)/a^4 - (7*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 6671] -> -3*a^4 + 7*a^6 + a^8 - 5*a^10 + a^12 - 
   10*a^4*z^2 + 18*a^6*z^2 + 23*a^8*z^2 - 24*a^10*z^2 + 4*a^12*z^2 - 
   12*a^4*z^4 + 20*a^6*z^4 + 46*a^8*z^4 - 32*a^10*z^4 + 4*a^12*z^4 - 
   6*a^4*z^6 + 14*a^6*z^6 + 37*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 6672] -> -a^2 + a^4 + 2*a^6 + 3*a^8 - 5*a^10 + a^12 - 
   3*a^2*z^2 + a^4*z^2 + 13*a^6*z^2 + 9*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 19*a^6*z^4 + 11*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 6673] -> 
  4/a^12 - 14/a^10 + 13/a^8 - 2/a^6 + (14*z^2)/a^12 - (57*z^2)/a^10 + 
   (66*z^2)/a^8 - (15*z^2)/a^6 + (16*z^4)/a^12 - (81*z^4)/a^10 + 
   (110*z^4)/a^8 - (29*z^4)/a^6 + (7*z^6)/a^12 - (54*z^6)/a^10 + 
   (90*z^6)/a^8 - (23*z^6)/a^6 + z^8/a^12 - (17*z^8)/a^10 + (41*z^8)/a^8 - 
   (8*z^8)/a^6 - (2*z^10)/a^10 + (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 6674] -> 3/a^12 - 10/a^10 + 8/a^8 + (7*z^2)/a^12 - 
   (26*z^2)/a^10 + (21*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + (5*z^4)/a^12 - 
   (26*z^4)/a^10 + (23*z^4)/a^8 + (17*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (15*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6675] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (5*z^2)/a^12 - (17*z^2)/a^10 + (9*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (12*z^4)/a^8 + (20*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6676] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 25*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 27*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6677] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 10*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (25*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (27*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6678] -> 
  3/a^12 - 9/a^10 + 5/a^8 + 3/a^6 - a^(-4) + (7*z^2)/a^12 - (24*z^2)/a^10 + 
   (13*z^2)/a^8 + (18*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^12 - (25*z^4)/a^10 + 
   (16*z^4)/a^8 + (27*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (13*z^6)/a^8 + (19*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6679] -> 2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (9*z^2)/a^10 - z^2/a^8 + (14*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (14*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6680] -> 
  a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (4*z^4)/a^8 + (15*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6681] -> 
  -13 + 2/a^6 - 10/a^4 + 18/a^2 + 4*a^2 - 26*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (27*z^2)/a^4 + (41*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (27*z^4)/a^4 + (40*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6682] -> 
  3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + (10*z^2)/a^8 - (40*z^2)/a^6 + 
   (48*z^2)/a^4 - (16*z^2)/a^2 + (12*z^4)/a^8 - (60*z^4)/a^6 + (81*z^4)/a^4 - 
   (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + (70*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 6683] -> 
  2/a^8 - 6/a^6 + 5/a^4 - 5*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + (14*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + (17*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 6684] -> 10 - 3/a^2 - 9*a^2 + 3*a^4 + 
   40*z^2 - (10*z^2)/a^2 - 47*a^2*z^2 + 17*a^4*z^2 + 60*z^4 - (12*z^4)/a^2 - 
   81*a^2*z^4 + 26*a^4*z^4 + 43*z^6 - (6*z^6)/a^2 - 70*a^2*z^6 + 19*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 6685] -> 
  5 - a^(-4) + a^(-2) - 7*a^2 + 3*a^4 + 7*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   21*a^2*z^2 + 9*a^4*z^2 + z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6686] -> 5 - 2/a^6 + 8/a^4 - 10/a^2 + 20*z^2 - 
   (9*z^2)/a^6 + (40*z^2)/a^4 - (53*z^2)/a^2 + 29*z^4 - (12*z^4)/a^6 + 
   (62*z^4)/a^4 - (90*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 6687] -> 
  -a^(-10) + 6/a^8 - 11/a^6 + 7/a^4 - (7*z^2)/a^10 + (34*z^2)/a^8 - 
   (50*z^2)/a^6 + (23*z^2)/a^4 - (11*z^4)/a^10 + (56*z^4)/a^8 - 
   (84*z^4)/a^6 + (28*z^4)/a^4 - (6*z^6)/a^10 + (42*z^6)/a^8 - (71*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 6688] -> -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (19*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (12*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6689] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (21*z^4)/a^6 - (12*z^4)/a^4 + 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6690] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (25*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6691] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 + z^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (12*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6692] -> 
  -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 3*z^2 - (5*z^2)/a^6 + (25*z^2)/a^4 - 
   (26*z^2)/a^2 + 7*a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - 
   (44*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 6693] -> 
  -3*a^4 + 7*a^6 + a^8 - 5*a^10 + a^12 - 2*a^2*z^2 - 4*a^4*z^2 + 18*a^6*z^2 + 
   11*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 20*a^6*z^4 + 
   18*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 6694] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   17*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   15*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 6695] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   8*a^2*z^2 - 23*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   14*z^6 - z^6/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6696] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (5*z^2)/a^12 - (17*z^2)/a^10 + (11*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (15*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (11*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6697] -> -3 + 9*a^2 - 7*a^4 + 3*a^6 - a^8 - 13*z^2 + 
   (2*z^2)/a^2 + 28*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 33*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6698] -> 
  -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 21*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (24*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6699] -> 
  -8 + 2/a^2 + 8*a^2 + 3*a^4 - 4*a^6 - 20*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 + 
   16*a^4*z^2 - 10*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 + 23*a^4*z^4 - 
   10*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6700] -> a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 8/a^2 - 
   5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (29*z^2)/a^6 - (41*z^2)/a^4 + 
   (23*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - (40*z^4)/a^4 + 
   (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6701] -> 
  4/a^8 - 14/a^6 + 15/a^4 - 4/a^2 + (12*z^2)/a^8 - (49*z^2)/a^6 + 
   (60*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - (67*z^4)/a^6 + (92*z^4)/a^4 - 
   (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 6702] -> 
  -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 9*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (5*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (10*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 6703] -> 
  5 - a^(-8) + 2/a^6 + 3/a^4 - 8/a^2 + 11*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - (23*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (7*z^4)/a^4 - (26*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 6704] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 8*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6705] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (8*z^4)/a^6 - 
   (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 6706] -> 
  7 - a^(-4) + a^(-2) - 11*a^2 + 5*a^4 + 10*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   29*a^2*z^2 + 12*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 
   31*a^2*z^4 + 11*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 18*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6707] -> 2 - 2/a^4 + 5/a^2 - 9*a^2 + 5*a^4 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 - 29*a^2*z^2 + 14*a^4*z^2 - 6*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 36*a^2*z^4 + 14*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6708] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6709] -> 
  -2 - a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 6/a^2 + a^2 - 8*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^2 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6710] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 4*a^2 - 
   2*a^4 + a^6 - 13*z^2 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 11*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 6711] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6712] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 3*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6713] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 17/a^6 - 7/a^4 + 2/a^2 - z^2/a^12 + 
   (10*z^2)/a^10 - (33*z^2)/a^8 + (44*z^2)/a^6 - (23*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (23*z^4)/a^8 + (43*z^4)/a^6 - (29*z^4)/a^4 + (7*z^4)/a^2 - 
   (6*z^6)/a^8 + (20*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6714] -> 
  -1 + 2/a^10 - 10/a^8 + 17/a^6 - 14/a^4 + 7/a^2 - 4*z^2 + z^2/a^10 - 
   (13*z^2)/a^8 + (37*z^2)/a^6 - (40*z^2)/a^4 + (22*z^2)/a^2 - 6*z^4 - 
   (4*z^4)/a^8 + (26*z^4)/a^6 - (43*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (21*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6715] -> 
  a^(-12) - 4/a^10 + 3/a^8 + 4/a^6 - 7/a^4 + 4/a^2 - z^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (11*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - 
   (7*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (4*z^6)/a^6 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 6716] -> 
  -a^(-18) + 4/a^16 - 2/a^14 - 8/a^12 + 7/a^10 + a^(-8) - z^2/a^18 + 
   (9*z^2)/a^16 - (16*z^2)/a^14 - (11*z^2)/a^12 + (25*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^4)/a^16 - (19*z^4)/a^14 + (3*z^4)/a^12 + 
   (33*z^4)/a^10 + (6*z^4)/a^8 - (6*z^6)/a^14 + (9*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 6717] -> -a^(-16) + 6/a^14 - 13/a^12 + 12/a^10 - 
   7/a^8 + 4/a^6 + (5*z^2)/a^14 - (23*z^2)/a^12 + (32*z^2)/a^10 - 
   (18*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - (10*z^4)/a^12 + (29*z^4)/a^10 - 
   (19*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (9*z^6)/a^10 - (11*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6718] -> 
  a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (14*z^2)/a^8 + (25*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (22*z^4)/a^6 - (16*z^4)/a^4 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6719] -> -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 
   6/a^10 - z^2/a^18 + (12*z^2)/a^16 - (32*z^2)/a^14 + (8*z^2)/a^12 + 
   (24*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (31*z^4)/a^14 + (23*z^4)/a^12 + 
   (35*z^4)/a^10 + (3*z^4)/a^8 - (9*z^6)/a^14 + (19*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 6720] -> -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 
   6/a^10 + (6*z^2)/a^16 - (21*z^2)/a^14 + (3*z^2)/a^12 + (20*z^2)/a^10 + 
   (4*z^2)/a^8 - (12*z^4)/a^14 + (11*z^4)/a^12 + (24*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 6721] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6722] -> -11 + 2/a^2 + 18*a^2 - 8*a^4 - 27*z^2 + 
   (5*z^2)/a^2 + 40*a^2*z^2 - 9*a^4*z^2 - 3*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 
   37*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6723] -> 
  -4 + 14*a^2 - 14*a^4 + 6*a^6 - a^8 - 8*z^2 + 31*a^2*z^2 - 31*a^4*z^2 + 
   9*a^6*z^2 + a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 30*a^4*z^4 - a^6*z^4 + 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 17*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6724] -> 5 - 2/a^2 + a^2 - 8*a^4 + 7*a^6 - 2*a^8 + 
   9*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 + 7*z^4 - 
   z^4/a^2 - 15*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6725] -> -5 + 2/a^8 - 5/a^6 - 2/a^4 + 11/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + (26*z^2)/a^2 - 
   11*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (9*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6726] -> -12 + 2/a^6 - 9/a^4 + 15/a^2 + 7*a^2 - 
   2*a^4 - 32*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (34*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 34*z^4 + z^4/a^6 - (12*z^4)/a^4 + (32*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6727] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6728] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 6*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (28*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (27*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6729] -> 
  -8 + a^(-6) - 7/a^4 + 13/a^2 + 2*a^2 - 21*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (28*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6730] -> 
  6 - 3/a^2 - a^2 - a^4 + 7*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 6731] -> -2/a^14 + 8/a^12 - 11/a^10 + 3/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (11*z^2)/a^12 - (16*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (8*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6732] -> -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 
   4*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6733] -> 5 - 2/a^4 + 3/a^2 - 8*a^2 + 2*a^4 + a^6 + 
   z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 15*a^2*z^2 + 4*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6734] -> 
  -2 - a^(-6) + a^(-4) + 3/a^2 - a^2 + a^6 - 9*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6735] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6736] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 
   5/a^4 + a^(-2) + 3*z^2 - z^2/a^10 - z^2/a^8 + (14*z^2)/a^6 - 
   (16*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6737] -> 2 - 2/a^4 + 4/a^2 - 6*a^2 + 3*a^4 - z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 17*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 21*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 13*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 6738] -> -5 - a^(-6) + a^(-4) + 4/a^2 + 
   a^2 + a^4 - 11*z^2 - z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - 7*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 6739] -> -a^(-18) + 6/a^16 - 10/a^14 + 2/a^12 + 
   3/a^10 + a^(-8) + (6*z^2)/a^16 - (21*z^2)/a^14 + (8*z^2)/a^12 + 
   (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (11*z^4)/a^14 + (12*z^4)/a^12 + 
   (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 6740] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + z^2/a^12 - (6*z^2)/a^10 + 
   (15*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (3*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6741] -> 
  6 - 2/a^2 - 5*a^2 + 4*a^4 - 3*a^6 + a^8 + 11*z^2 - (3*z^2)/a^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 8*z^4 - z^4/a^2 - 
   8*a^2*z^4 + 2*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6742] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^8*z^2 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - 
   a^6*z^6, Knot[15, Alternating, 6743] -> -1 + a^(-10) - 2/a^8 - 2/a^6 + 
   4/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + 
   (11*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (13*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 6744] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 6745] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 6746] -> -3 + a^(-2) - a^2 + 10*a^4 - 
   6*a^6 - 10*z^2 + (3*z^2)/a^2 - a^2*z^2 + 27*a^4*z^2 - 12*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 30*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6747] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (21*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6748] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 6749] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^14 - (9*z^2)/a^12 + (20*z^2)/a^10 - (20*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (27*z^4)/a^8 + 
   (17*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - (17*z^6)/a^8 + (12*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 6750] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (14*z^2)/a^10 - (14*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^4)/a^10 - (15*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6751] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 6*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 6752] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - 
   a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6753] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 6754] -> 2/a^12 - 7/a^10 + 7/a^8 - 
   3/a^6 + 2/a^4 + (3*z^2)/a^12 - (12*z^2)/a^10 + (13*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (9*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6755] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 6756] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2 + z^2/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 6757] -> 
  -14 + a^(-6) - 5/a^4 + 11/a^2 + 12*a^2 - 4*a^4 - 36*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (29*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 37*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 20*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6758] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 10*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6759] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (5*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   (3*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6760] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2 - 
   (7*z^2)/a^8 + (16*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6761] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - (15*z^2)/a^2 + 7*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^6 + (28*z^4)/a^4 - (36*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (32*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 6762] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 + z^4/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 6763] -> 
  -3*a^4 + 7*a^6 + a^8 - 5*a^10 + a^12 - 2*a^2*z^2 - 4*a^4*z^2 + 18*a^6*z^2 + 
   11*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 20*a^6*z^4 + 
   18*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 6764] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 22*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 6765] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (10*z^4)/a^10 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6766] -> -2 + a^(-2) - 5*a^2 + 15*a^4 - 8*a^6 - 
   12*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 33*a^4*z^2 - 14*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 + 31*a^4*z^4 - 11*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   9*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6767] -> 
  -8 + 2/a^2 + 8*a^2 + 3*a^4 - 4*a^6 - 12*z^2 + z^2/a^4 + 16*a^2*z^2 + 
   7*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 6768] -> 
  5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + (13*z^2)/a^8 - (52*z^2)/a^6 + 
   (63*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - (66*z^4)/a^6 + (88*z^4)/a^4 - 
   (27*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (71*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 6769] -> 
  -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 6*z^2 + (6*z^2)/a^8 - (21*z^2)/a^6 + 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (17*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 6770] -> 
  -4 + a^(-8) - 8/a^4 + 12/a^2 - 10*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 - 
   (5*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 6771] -> -2/a^4 + 5/a^2 - 5*a^2 + 3*a^4 - 
   7*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 13*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6772] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6773] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 - 5*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 25*a^4*z^2 - 
   10*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 23*a^4*z^4 - 8*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6774] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 6775] -> 
  -13 + a^(-6) - 5/a^4 + 10/a^2 + 13*a^2 - 5*a^4 - 33*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (27*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (28*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6776] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 9*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6777] -> -2 - 2/a^4 + 6/a^2 - 4*a^2 + 3*a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 18*a^2*z^2 + 9*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6778] -> 
  -4 + 10*a^2 - 4*a^4 - 2*a^6 + a^8 - z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 
   13*a^4*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 17*a^4*z^4 + 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6779] -> 
  4 - 2/a^2 + a^2 - 4*a^4 + 3*a^6 - a^8 + 7*z^2 - z^2/a^4 - 9*a^4*z^2 + 
   6*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4 - z^6 - 3*a^2*z^6 - 4*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 6780] -> -1 - a^(-2) + 10*a^2 - 11*a^4 + 5*a^6 - a^8 + 
   z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 24*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 11*a^2*z^4 - 23*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 12*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6781] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6782] -> 3/a^10 - 12/a^8 + 15/a^6 - 7/a^4 + 2/a^2 - 
   z^2 + (3*z^2)/a^10 - (21*z^2)/a^8 + (38*z^2)/a^6 - (23*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - (13*z^4)/a^8 + (36*z^4)/a^6 - 
   (29*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (18*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6783] -> -a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^4 - a^(-2) + a^2 - 3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 4*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + a^2*z^4 - 2*z^6 + 
   (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 6784] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 6785] -> 
  -2 - a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 6/a^2 + a^2 - 8*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^2 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6786] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 13*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6787] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 + z^2/a^12 + (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6788] -> 
  a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 + z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (20*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6789] -> 2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 
   2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + (22*z^2)/a^6 - (7*z^2)/a^4 + 
   z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6790] -> 
  -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 9*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - (26*z^2)/a^4 + (28*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (30*z^4)/a^4 + (33*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6791] -> -a^(-12) + 3/a^10 - 4/a^8 + 6/a^6 - 8/a^4 + 
   5/a^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (20*z^2)/a^6 - 
   (22*z^2)/a^4 + (9*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - 
   (26*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (15*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6792] -> -a^(-16) + 6/a^14 - 12/a^12 + 8/a^10 - 
   2/a^8 + 2/a^6 + (5*z^2)/a^14 - (22*z^2)/a^12 + (25*z^2)/a^10 - 
   (7*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (10*z^4)/a^12 + (26*z^4)/a^10 - 
   (11*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (9*z^6)/a^10 - (9*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6793] -> 
  -2 + 5*a^2 - 3*a^6 + a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6794] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 6795] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 
   5*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (12*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6796] -> -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 4*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 
   14*a^2*z^4 - 11*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6797] -> 2/a^14 - 8/a^12 + 11/a^10 - 8/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (27*z^2)/a^10 - (23*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (29*z^4)/a^8 + 
   (15*z^4)/a^6 - z^4/a^4 + (6*z^6)/a^10 - (18*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 6798] -> a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - 4/a^6 + 
   3/a^4 - (4*z^2)/a^12 + (7*z^2)/a^10 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 + (6*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 - (4*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6799] -> -a^(-12) + 5/a^10 - 9/a^8 + 
   7/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + (9*z^2)/a^10 - (23*z^2)/a^8 + 
   (25*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (30*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6800] -> -2 + a^2 + 10*a^4 - 11*a^6 + 
   3*a^8 - 5*z^2 + 5*a^2*z^2 + 22*a^4*z^2 - 23*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 
   10*a^2*z^4 + 16*a^4*z^4 - 21*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 + 
   2*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 6801] -> 
  1 - a^(-2) + a^2 + 3*a^4 - 4*a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6802] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (46*z^2)/a^14 + (24*z^2)/a^12 + (17*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (37*z^4)/a^14 + (36*z^4)/a^12 + (27*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (23*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 6803] -> 
  -7 - 2/a^8 + 7/a^6 - 10/a^4 + 10/a^2 + 3*a^2 - 23*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (24*z^2)/a^4 + (28*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (32*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 6804] -> -5 - a^(-10) + 3/a^8 - 3/a^6 + 
   a^(-4) + 3/a^2 + 3*a^2 - 12*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 6805] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 3/a^12 + 5/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (15*z^2)/a^14 - (2*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (6*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 6806] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (5*z^2)/a^4 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6807] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 6808] -> 
  -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 21*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (27*z^4)/a^2 - a^2*z^4 + 3*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (14*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 6809] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 6810] -> -3 - a^(-8) + 6/a^6 - 13/a^4 + 12/a^2 - 
   9*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (29*z^2)/a^4 + (27*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (27*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6811] -> a^(-6) - 3/a^4 + 2/a^2 + 3*a^2 - 2*a^4 - 
   10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6812] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 9/a^2 - a^2 + 2*a^4 - 7*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6813] -> -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6814] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6815] -> -7 - a^(-8) + 3/a^6 - 3/a^4 + 5/a^2 + 4*a^2 - 
   18*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6816] -> 9 + a^(-6) - 2/a^4 - 3/a^2 - 4*a^2 + 19*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + 19*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6817] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + z^2/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 6818] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6819] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6820] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 6821] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 
   2/a^2 - z^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (29*z^2)/a^6 - (18*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - 
   (22*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6822] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 11*z^2 + z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 13*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6823] -> 
  -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 5*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (29*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (28*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6824] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 11/a^8 + 5/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (19*z^2)/a^10 - (27*z^2)/a^8 + (16*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   (10*z^4)/a^10 - (25*z^4)/a^8 + (18*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (9*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6825] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   2*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6826] -> -3 - a^(-8) + 2/a^6 + a^(-2) + a^2 + a^4 - 
   7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6827] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 6828] -> -1 - 2/a^8 + 9/a^6 - 14/a^4 + 9/a^2 - 
   (5*z^2)/a^8 + (23*z^2)/a^6 - (32*z^2)/a^4 + (13*z^2)/a^2 + 4*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (31*z^4)/a^4 + (2*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (17*z^6)/a^4 - (7*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 6829] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 6830] -> 
  -10 + a^(-6) - 6/a^4 + 12/a^2 + 5*a^2 - a^4 - 24*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (27*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6831] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (4*z^2)/a^12 - (12*z^2)/a^10 + 
   (4*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + 
   (11*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (10*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6832] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6833] -> 
  3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + z^2/a^12 + (2*z^2)/a^10 - (18*z^2)/a^8 + 
   (22*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (12*z^4)/a^8 + (21*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6834] -> -2 + a^(-8) - a^(-6) - 4/a^4 + 
   7/a^2 - 7*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + (16*z^2)/a^2 - 
   8*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (4*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6835] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 15*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6836] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 6837] -> 2/a^6 - 5/a^4 + 4/a^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (12*z^4)/a^8 - (9*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (8*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6838] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^12 + 
   (6*z^2)/a^10 - (19*z^2)/a^8 + (25*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (29*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6839] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) + z^2/a^14 - 
   (9*z^2)/a^12 + (20*z^2)/a^10 - (18*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^4)/a^12 + (20*z^4)/a^10 - (24*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 + 
   (6*z^6)/a^10 - (16*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - (4*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 6840] -> 
  -1 + 2/a^10 - 9/a^8 + 13/a^6 - 9/a^4 + 5/a^2 - 4*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (30*z^2)/a^6 - (29*z^2)/a^4 + (18*z^2)/a^2 - 6*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (35*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6841] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6842] -> -a^2 + a^4 + 2*a^6 + 3*a^8 - 5*a^10 + a^12 - 
   z^2 - a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 + 8*a^8*z^2 - 8*a^10*z^2 + 
   a^12*z^2 - z^4 + 5*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 6843] -> -1 + 2*a^2 + a^4 - a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^8*z^4 + 2*z^6 - 4*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 6844] -> -a^(-4) + 3/a^2 - 5*a^2 + 6*a^4 - 
   2*a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 14*a^2*z^2 + 9*a^4*z^2 - z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 6845] -> a^(-12) - 4/a^10 + 6/a^8 - 6/a^6 + 4/a^4 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (12*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 6846] -> 
  1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   8*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6847] -> 
  5 + a^(-8) - 2/a^6 + a^(-4) - 2/a^2 - 2*a^2 + 9*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 6848] -> 2 - a^(-6) + 2/a^4 - 5*a^2 + 3*a^4 + 2*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - 
   z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 6849] -> 1 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 6850] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 6851] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 8*z^2 + 
   z^2/a^4 - z^2/a^2 + 14*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 6852] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 + z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   27*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6853] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6854] -> -2 + 3*a^2 + 8*a^4 - 13*a^6 + 5*a^8 - 5*z^2 + 
   10*a^2*z^2 + 15*a^4*z^2 - 30*a^6*z^2 + 11*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 
   7*a^4*z^4 - 30*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 6855] -> 
  8 - 2/a^2 - 8*a^2 + 3*a^4 + 13*z^2 - z^2/a^4 - 21*a^2*z^2 + 8*a^4*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 23*a^2*z^4 + 8*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6856] -> 
  -4 + 12*a^2 - 6*a^4 - 4*a^6 + 3*a^8 - 8*z^2 + 26*a^2*z^2 - 11*a^4*z^2 - 
   16*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 24*a^2*z^4 - 12*a^4*z^4 - 23*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 11*a^2*z^6 - 10*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6857] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (16*z^2)/a^10 - (20*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 + (10*z^4)/a^10 - (22*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - (9*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6858] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 4*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 
   6*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (25*z^4)/a^4 + (21*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6859] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (21*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6860] -> 
  2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 6*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6861] -> -a^(-16) + 6/a^14 - 12/a^12 + 
   10/a^10 - 6/a^8 + 4/a^6 + (5*z^2)/a^14 - (22*z^2)/a^12 + (30*z^2)/a^10 - 
   (19*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - (10*z^4)/a^12 + (30*z^4)/a^10 - 
   (24*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (10*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6862] -> 
  -3 + 2/a^6 - 9/a^4 + 11/a^2 + a^2 - a^4 - 7*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6863] -> 
  4 + a^(-8) - 4/a^6 + 4/a^4 - 2/a^2 - 2*a^2 + 8*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 6864] -> -7 - a^(-4) + 3/a^2 + 14*a^2 - 11*a^4 + 
   3*a^6 - 20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 33*a^2*z^2 - 24*a^4*z^2 + 
   6*a^6*z^2 - 23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 34*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6865] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (18*z^2)/a^8 + (22*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 - 
   z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6866] -> 
  -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6867] -> 2/a^10 - 7/a^8 + 6/a^6 - 2*z^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 6868] -> 
  1 + a^(-10) - 3/a^8 + 5/a^4 - 3/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 6869] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 27*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   15*a^2*z^4 - a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 + 
   2*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6870] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (12*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6871] -> -a^(-12) + 5/a^10 - 10/a^8 + 8/a^6 - 2/a^4 + 
   a^(-2) + z^2 + (5*z^2)/a^10 - (20*z^2)/a^8 + (28*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - (10*z^4)/a^8 + (27*z^4)/a^6 - (19*z^4)/a^4 + 
   z^4/a^2 + z^6 + (9*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6872] -> a^(-14) - 4/a^12 + 7/a^10 - 
   9/a^8 + 6/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - (26*z^2)/a^8 + 
   (20*z^2)/a^6 - z^2/a^2 + (10*z^4)/a^10 - (25*z^4)/a^8 + (22*z^4)/a^6 - 
   (2*z^4)/a^2 - (9*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6873] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 6*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 6874] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6875] -> 
  -2 - a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 6/a^2 + a^2 - 7*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 6876] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 - z^2/a^6 + z^2/a^4 + 
   (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 
   4*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 6877] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6878] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 
   9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6879] -> 2 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 - a^2 + 
   a^4 + z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 6880] -> -a^2 + 6*a^6 - 2*a^8 - 3*a^10 + a^12 - 
   3*a^2*z^2 + 16*a^6*z^2 + 6*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 18*a^6*z^4 + 15*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 6881] -> 
  -2 + 4*a^2 + 4*a^4 - 8*a^6 + 3*a^8 - 5*z^2 + 12*a^2*z^2 + 6*a^4*z^2 - 
   18*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 19*a^6*z^4 + 7*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6882] -> 1 - a^(-2) + 4*a^2 - 2*a^4 - 3*a^6 + 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 7*a^2*z^4 - 15*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6883] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6884] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 
   20*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (28*z^2)/a^2 + 6*a^2*z^2 - 
   29*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (32*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 6885] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 
   4/a^2 - 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - (26*z^2)/a^4 + 
   (15*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + 
   (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6886] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 6*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 6887] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6888] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 8/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (24*z^2)/a^8 + (27*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (31*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 6889] -> 
  -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 5/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (23*z^2)/a^6 - (26*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (33*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6890] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (25*z^2)/a^10 - (22*z^2)/a^8 + (15*z^2)/a^6 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (29*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (18*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 6891] -> 
  1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   13*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 10*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6892] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 6893] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 6894] -> 
  -a^2 + 7*a^6 - 5*a^8 - 3*a^2*z^2 + 18*a^6*z^2 - 7*a^10*z^2 + a^12*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 19*a^6*z^4 + 11*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 6895] -> 
  -6 + a^(-2) + 9*a^2 - a^4 - 2*a^6 - 17*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 + 2*a^4*z^4 - 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6896] -> 1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (24*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (28*z^4)/a^2 - 6*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (17*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6897] -> 
  2 - a^(-2) - a^2 + 6*a^4 - 8*a^6 + 3*a^8 + 5*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 11*a^4*z^2 - 15*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6898] -> a^(-14) - 5/a^12 + 11/a^10 - 14/a^8 + 8/a^6 - 
   (5*z^2)/a^12 + (20*z^2)/a^10 - (34*z^2)/a^8 + (26*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + (10*z^4)/a^10 - (30*z^4)/a^8 + (30*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (10*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 6899] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6900] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 10*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 6901] -> a^(-12) - 4/a^10 + 4/a^8 + 2/a^6 - 
   6/a^4 + 4/a^2 - z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (13*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (4*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 6902] -> 5 - 2/a^2 - 3*a^2 + a^4 + a^6 - 
   a^8 + 9*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6903] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (21*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6904] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6905] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (18*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (25*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6906] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 17*z^2 + (3*z^2)/a^2 + 28*a^2*z^2 - 
   10*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6907] -> 
  1 - a^(-2) + 3*a^2 + a^4 - 6*a^6 + 3*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6908] -> 5 - 2/a^2 - 2*a^2 + 3*a^4 - 6*a^6 + 3*a^8 + 
   9*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 14*a^6*z^2 + 6*a^8*z^2 + 
   7*z^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6909] -> -8 - 2/a^6 + 5/a^4 + 9*a^2 - 4*a^4 + a^6 - 
   13*z^2 - z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6910] -> -13 + 2/a^6 - 11/a^4 + 19/a^2 + 5*a^2 - a^4 - 
   34*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (42*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 35*z^4 + z^4/a^6 - (13*z^4)/a^4 + (37*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6911] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + (5*z^2)/a^10 - (16*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^4 + z^4/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + 
   (18*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (12*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6912] -> -6 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + 
   2*a^2 - 14*z^2 - z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (22*z^4)/a^4 + (26*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6913] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (22*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (13*z^6)/a^6 + (23*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6914] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 6915] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 
   2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 6*z^4 - (4*z^4)/a^6 + 
   (13*z^4)/a^4 - (14*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (21*z^6)/a^4 - 
   (28*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 6916] -> 
  -2 + 3*a^2 + 8*a^4 - 13*a^6 + 5*a^8 - 5*z^2 + 10*a^2*z^2 + 15*a^4*z^2 - 
   30*a^6*z^2 + 11*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 7*a^4*z^4 - 30*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 6917] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 13*z^2 - 
   z^2/a^4 - 21*a^2*z^2 + 8*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   23*a^2*z^4 + 8*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 14*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 6918] -> 25 + 4/a^4 - 18/a^2 - 10*a^2 + 80*z^2 + 
   (12*z^2)/a^4 - (57*z^2)/a^2 - 29*a^2*z^2 + 110*z^4 + (13*z^4)/a^4 - 
   (72*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 + (6*z^6)/a^4 - (46*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6919] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - (23*z^2)/a^6 + (31*z^2)/a^4 - 
   (11*z^2)/a^2 + (8*z^4)/a^8 - (41*z^4)/a^6 + (60*z^4)/a^4 - (20*z^4)/a^2 + 
   (5*z^6)/a^8 - (33*z^6)/a^6 + (55*z^6)/a^4 - (15*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (28*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 6920] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 4*a^2 - 2*a^4 + a^6 - 13*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 6921] -> -6 - a^(-8) + 5/a^6 - 12/a^4 + 14/a^2 + a^2 - 
   14*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (29*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6922] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6923] -> 
  2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (11*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (11*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6924] -> 
  2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (14*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (12*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6925] -> 11 + a^(-4) - 7/a^2 - 3*a^2 - a^4 + 32*z^2 + 
   (4*z^2)/a^4 - (23*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 44*z^4 + 
   (4*z^4)/a^4 - (29*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 33*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 6926] -> 
  2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 11*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 6927] -> -4 - 2/a^4 + 6/a^2 + a^4 - 9*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 6928] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (46*z^2)/a^14 + (24*z^2)/a^12 + (17*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (37*z^4)/a^14 + (36*z^4)/a^12 + (27*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (23*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 6929] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 3/a^12 + 5/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (15*z^2)/a^14 - (2*z^2)/a^12 + (17*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (6*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 6930] -> -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 
   6/a^10 + (6*z^2)/a^16 - (21*z^2)/a^14 + (3*z^2)/a^12 + (20*z^2)/a^10 + 
   (4*z^2)/a^8 - (12*z^4)/a^14 + (11*z^4)/a^12 + (24*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 6931] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^14 + (2*z^2)/a^12 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^14 + 
   (5*z^4)/a^12 + (2*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 + 
   (3*z^6)/a^12 - (2*z^6)/a^10 - (12*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 6932] -> 
  -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - (5*z^2)/a^10 + (26*z^2)/a^8 - 
   (31*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (45*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (34*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6933] -> 1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (16*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6934] -> 5/a^8 - 20/a^6 + 24/a^4 - 8/a^2 + 
   (13*z^2)/a^8 - (59*z^2)/a^6 + (79*z^2)/a^4 - (27*z^2)/a^2 + (13*z^4)/a^8 - 
   (73*z^4)/a^6 + (109*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + 
   (82*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 6935] -> -3 + 3/a^8 - 10/a^6 + 7/a^4 + 4/a^2 - 
   10*z^2 + (6*z^2)/a^8 - (23*z^2)/a^6 + (16*z^2)/a^4 + (16*z^2)/a^2 - 
   11*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + (17*z^4)/a^4 + (24*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6936] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 39*z^2 + 
   (7*z^2)/a^4 - (30*z^2)/a^2 - 14*a^2*z^2 + 63*z^4 + (9*z^4)/a^4 - 
   (45*z^4)/a^2 - 20*a^2*z^4 + 55*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6937] -> 
  1 + 10*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - (24*z^2)/a^2 + 19*z^4 - 
   (8*z^4)/a^6 + (39*z^4)/a^4 - (56*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + 
   (33*z^6)/a^4 - (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 6938] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 
   14*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (21*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + 
   (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6939] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - (15*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6940] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 6941] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (23*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (23*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 6942] -> -3*a^4 + 6*a^6 + 5*a^8 - 10*a^10 + 3*a^12 - 
   a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 + 16*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 24*a^6*z^4 + 19*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 6943] -> -3 + 10*a^2 - 11*a^4 + 8*a^6 - 
   3*a^8 - 9*z^2 + z^2/a^2 + 26*a^2*z^2 - 26*a^4*z^2 + 16*a^6*z^2 - 
   3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 26*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 6944] -> 
  -3 + 2/a^8 - 6/a^6 + 2/a^4 + 6/a^2 - 9*z^2 + (4*z^2)/a^8 - (13*z^2)/a^6 + 
   (3*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (4*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 6945] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + 
   (8*z^2)/a^8 - (35*z^2)/a^6 + (46*z^2)/a^4 - (15*z^2)/a^2 + (9*z^4)/a^8 - 
   (47*z^4)/a^6 + (67*z^4)/a^4 - (21*z^4)/a^2 + (5*z^6)/a^8 - (34*z^6)/a^6 + 
   (56*z^6)/a^4 - (15*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (28*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 6946] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 47*z^2 + 
   (7*z^2)/a^4 - (33*z^2)/a^2 - 17*a^2*z^2 + 68*z^4 + (9*z^4)/a^4 - 
   (46*z^4)/a^2 - 21*a^2*z^4 + 56*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 6947] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + z^2 - 6*a^2*z^2 + 14*a^4*z^2 - 
   6*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 19*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6948] -> 
  -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 11*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6949] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (21*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6950] -> 1 - a^(-2) + 3*a^2 + a^4 - 6*a^6 + 
   3*a^8 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 11*a^6*z^2 + 
   5*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 6951] -> 
  6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 21*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (10*z^2)/a^2 - 12*a^2*z^2 + 27*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (14*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 6952] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 5*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (11*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 6953] -> 
  1 + 2/a^10 - 9/a^8 + 13/a^6 - 7/a^4 + a^(-2) + z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (30*z^2)/a^6 - (24*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (31*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6954] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6955] -> -3 + 2/a^6 - 9/a^4 + 11/a^2 + a^2 - a^4 - 
   11*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 + z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 6956] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (19*z^2)/a^4 + z^2/a^2 - 8*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (32*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 6957] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (10*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + 
   (22*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 6958] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 6959] -> -11 + a^(-6) - 6/a^4 + 13/a^2 + 4*a^2 - 
   21*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (27*z^4)/a^2 - a^2*z^4 + 3*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6960] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6961] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 6962] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 6963] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 - 5*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 25*a^4*z^2 - 
   10*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 23*a^4*z^4 - 8*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 6964] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (25*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6965] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (29*z^2)/a^6 - (18*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - 
   (22*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 6966] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6967] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (29*z^2)/a^4 + (21*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 6968] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (13*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 6969] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + 
   a^(-2) - (5*z^2)/a^10 + (20*z^2)/a^8 - (21*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (37*z^4)/a^6 + (6*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 6970] -> -a^(-10) + 2/a^8 - 3/a^4 + 
   3/a^2 + z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6971] -> -1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 
   6/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (22*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6972] -> -2/a^14 + 8/a^12 - 11/a^10 + 3/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (11*z^2)/a^12 - (16*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (8*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 6973] -> 4/a^12 - 14/a^10 + 13/a^8 - 2/a^6 + 
   (8*z^2)/a^12 - (41*z^2)/a^10 + (50*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^4)/a^12 - (41*z^4)/a^10 + (66*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (42*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 6974] -> 3/a^12 - 10/a^10 + 8/a^8 + 
   (3*z^2)/a^12 - (17*z^2)/a^10 + (15*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + (16*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6975] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (21*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 6976] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + 
   a^(-2) - 6*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + (26*z^2)/a^4 + (2*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (43*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 6977] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 - z^2/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 6978] -> -a^(-18) + 6/a^16 - 10/a^14 + 
   2/a^12 + 3/a^10 + a^(-8) + (6*z^2)/a^16 - (21*z^2)/a^14 + (8*z^2)/a^12 + 
   (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (11*z^4)/a^14 + (12*z^4)/a^12 + 
   (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 6979] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^4 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (9*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 6980] -> a^(-12) - 3/a^10 - a^(-8) + 
   5/a^6 - a^(-4) + z^2/a^12 - (6*z^2)/a^10 + (15*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 6981] -> 2/a^10 - 7/a^8 + 6/a^6 - 2*z^2 + 
   (3*z^2)/a^10 - (15*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 6982] -> -1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 
   3/a^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 6983] -> 
  1 - a^(-2) + 4*a^2 - 3*a^4 - a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   8*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 6984] -> -3 - a^(-8) + 6/a^6 - 13/a^4 + 12/a^2 - 
   9*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (29*z^2)/a^4 + (27*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (27*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6985] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (5*z^2)/a^12 - (17*z^2)/a^10 + (11*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (15*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (11*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 6986] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 6987] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 6988] -> -2*a^2 + 7*a^4 - 4*a^6 - 2*z^2 + z^2/a^2 - 
   5*a^2*z^2 + 18*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   20*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 6989] -> 7 - 3/a^6 + 12/a^4 - 15/a^2 + 22*z^2 - 
   (11*z^2)/a^6 + (47*z^2)/a^4 - (61*z^2)/a^2 + 29*z^4 - (13*z^4)/a^6 + 
   (66*z^4)/a^4 - (93*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 6990] -> 
  -5 - 2/a^6 + 6/a^4 - 2/a^2 + 4*a^2 - 19*z^2 - (5*z^2)/a^6 + (17*z^2)/a^4 - 
   (7*z^2)/a^2 + 10*a^2*z^2 - 24*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (11*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 6991] -> 
  -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - (3*z^2)/a^10 + (12*z^2)/a^8 - 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   (10*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (8*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6992] -> -7 - 2/a^8 + 7/a^6 - 10/a^4 + 10/a^2 + 
   3*a^2 - 17*z^2 - z^2/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (25*z^4)/a^4 + (28*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 6993] -> -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (29*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (42*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (31*z^6)/a^6 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 6994] -> -6 - a^(-6) + 2/a^4 + a^(-2) + 8*a^2 - 
   3*a^4 - 20*z^2 + (8*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 6995] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 - z^2/a^18 + (12*z^2)/a^16 - 
   (32*z^2)/a^14 + (8*z^2)/a^12 + (24*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (31*z^4)/a^14 + (23*z^4)/a^12 + (35*z^4)/a^10 + (3*z^4)/a^8 - 
   (9*z^6)/a^14 + (19*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 6996] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (18*z^4)/a^4 - 
   (22*z^4)/a^2 + 6*a^2*z^4 - 6*z^6 - z^6/a^6 + (13*z^6)/a^4 - (23*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 6997] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (21*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 6998] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + (21*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 6999] -> 
  1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 2*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (24*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (28*z^4)/a^2 - 6*a^2*z^4 + 9*z^6 + z^6/a^6 - (11*z^6)/a^4 + (17*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7000] -> 2*a^2 - a^4 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7001] -> 7 + 2/a^6 - 6/a^4 + 2/a^2 - 4*a^2 + 15*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (9*z^2)/a^2 - 8*a^2*z^2 + 16*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (14*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7002] -> 
  3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + (8*z^2)/a^8 - (30*z^2)/a^6 + 
   (34*z^2)/a^4 - (10*z^2)/a^2 + (9*z^4)/a^8 - (43*z^4)/a^6 + (54*z^4)/a^4 - 
   (17*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + (50*z^6)/a^4 - (14*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 7003] -> 
  -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - 6*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7004] -> -9 - a^(-8) + 4/a^6 - 7/a^4 + 
   10/a^2 + 4*a^2 - 20*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7005] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 54*z^2 + 
   (10*z^2)/a^4 - (42*z^2)/a^2 - 18*a^2*z^2 + 70*z^4 + (10*z^4)/a^4 - 
   (51*z^4)/a^2 - 21*a^2*z^4 + 56*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7006] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 12*z^2 - (7*z^2)/a^6 + (28*z^2)/a^4 - 
   (35*z^2)/a^2 + 17*z^4 - (9*z^4)/a^6 + (42*z^4)/a^4 - (55*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (50*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 7007] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 
   4*a^2 - 17*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   18*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 7008] -> 
  7 - a^(-8) + a^(-6) + 7/a^4 - 13/a^2 + 12*z^2 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 + (7*z^2)/a^4 - (29*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (3*z^4)/a^4 - (28*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (8*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 7009] -> -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (15*z^2)/a^6 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (14*z^4)/a^8 - (15*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (9*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 7010] -> -5 - a^(-8) + 2/a^6 + a^(-4) + 4*a^2 - 
   10*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 7011] -> 
  3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   17*a^2*z^2 + 8*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 20*a^2*z^4 + 
   8*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7012] -> -2 - 2/a^4 + 6/a^2 - 4*a^2 + 3*a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 18*a^2*z^2 + 9*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7013] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7014] -> -5 + a^(-2) + 5*a^2 + 4*a^4 - 4*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7015] -> 
  -1 + 2/a^10 - 9/a^8 + 14/a^6 - 11/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (31*z^2)/a^6 - (31*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (34*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7016] -> 
  -4 - a^(-8) + 2/a^6 + a^(-2) + 4*a^2 - 2*a^4 + a^6 - 5*z^2 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6, Knot[15, Alternating, 7017] -> -4 + a^(-8) - 4/a^6 + 3/a^4 + 
   3/a^2 + 3*a^2 - a^4 - 13*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (7*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 7018] -> 
  2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (20*z^2)/a^8 + (35*z^2)/a^6 - (25*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (32*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + 
   (16*z^6)/a^6 - (15*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7019] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^14 + z^2/a^12 + (7*z^2)/a^10 - 
   (8*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (3*z^4)/a^10 - 
   (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 7020] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (7*z^2)/a^8 + (25*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (28*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 7021] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 
   2*a^8 - 15*z^2 + (2*z^2)/a^2 + 37*a^2*z^2 - 33*a^4*z^2 + 12*a^6*z^2 - 
   a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 34*a^2*z^4 - 21*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 16*a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7022] -> 
  2 - a^(-2) - a^2 + 6*a^4 - 8*a^6 + 3*a^8 + 5*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 11*a^4*z^2 - 15*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7023] -> 1 + a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 
   3/a^4 + a^(-2) + z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - z^4 + (6*z^4)/a^8 - (6*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (4*z^6)/a^6 - z^6/a^4 + (2*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 7024] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (7*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + (6*z^4)/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^8 - 
   z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7025] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7026] -> 
  -a^(-8) + 2/a^6 - a^2 + a^6 - 3*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 - (3*z^4)/a^4 - z^4/a^2 - 
   2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[15, Alternating, 7027] -> 
  1 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) + a^2 - a^4 + z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7028] -> 6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 9*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 7029] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7030] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7031] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 8*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (23*z^2)/a^4 + (26*z^2)/a^2 - 9*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (24*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7032] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7033] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 7034] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 + z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   27*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7035] -> 
  2 - a^(-6) + 2/a^4 - 5*a^2 + 3*a^4 + 2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - z^4/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 7036] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 8*z^2 + 
   z^2/a^4 - z^2/a^2 + 14*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7037] -> 1 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 7038] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (14*z^2)/a^10 - (14*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (9*z^4)/a^10 - 
   (15*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - (7*z^6)/a^8 + 
   (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7039] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7040] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7041] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (24*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 23*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 7042] -> 1 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 7043] -> 
  -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - a^4 - 14*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 14*z^4 - z^4/a^6 + (6*z^4)/a^4 + 
   2*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 7044] -> 
  -2 + 6*a^2 - 3*a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 7045] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (10*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7046] -> -1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 
   5/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7047] -> 
  -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - a^4 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7048] -> 
  a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + z^2/a^2 - z^4 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 7049] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 11*z^2 - 
   (5*z^2)/a^6 + (19*z^2)/a^4 - (14*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (15*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 7050] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (17*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7051] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7052] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (11*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7053] -> -1 - a^(-8) + 2/a^6 + a^(-4) - 2/a^2 + 
   2*a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + 
   4*a^2*z^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (16*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 7054] -> 
  -a^2 + a^4 + 2*a^6 + 3*a^8 - 5*a^10 + a^12 - z^2 - a^2*z^2 + 4*a^4*z^2 + 
   7*a^6*z^2 + 8*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - z^4 + 5*a^4*z^4 + 
   8*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 7055] -> a^(-10) - 4/a^8 + 5/a^6 - 
   3/a^4 + 2/a^2 - z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 7056] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7057] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7058] -> 
  5 + a^(-4) - 4/a^2 - 4*a^2 + 7*a^4 - 4*a^6 + 7*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7059] -> -a^(-12) + 6/a^10 - 13/a^8 + 14/a^6 - 9/a^4 + 
   4/a^2 - z^2/a^12 + (9*z^2)/a^10 - (26*z^2)/a^8 + (36*z^2)/a^6 - 
   (27*z^2)/a^4 + (9*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (36*z^4)/a^6 - 
   (32*z^4)/a^4 + (8*z^4)/a^2 - (6*z^6)/a^8 + (18*z^6)/a^6 - (19*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7060] -> -5 + a^(-6) - 4/a^4 + 6/a^2 + 5*a^2 - 2*a^4 - 
   18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7061] -> 
  3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 - 6*z^2 + (6*z^2)/a^8 - (22*z^2)/a^6 + 
   (18*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (16*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7062] -> 
  -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 7063] -> -a^(-8) + 2/a^6 + 2/a^4 - 4/a^2 + 2*a^2 - 
   4*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 + 
   4*a^2*z^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 7064] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 7065] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 15*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7066] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7067] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + 
   (3*z^2)/a^2 + 20*a^2*z^2 - 4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 + 
   12*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7068] -> 6 - a^(-4) + a^(-2) - 7*a^2 + 2*a^6 + 9*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 17*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 16*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7069] -> 1 - 2/a^4 + 5/a^2 - 5*a^2 + 2*a^6 + 3*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 16*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 + z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 17*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7070] -> -15 - 4/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 
   32*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (28*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 29*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7071] -> 
  -3 - 2/a^8 + 7/a^6 - 8/a^4 + 5/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^8 + 
   (18*z^2)/a^6 - (27*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (32*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7072] -> 
  2 - 2/a^8 + 6/a^6 - 4/a^4 - a^(-2) - a^2 + a^4 + 4*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 7073] -> a^(-14) - 6/a^12 + 14/a^10 - 16/a^8 + 7/a^6 + 
   a^(-4) + z^2/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 - (37*z^2)/a^8 + 
   (18*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (37*z^4)/a^8 + 
   (19*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - (19*z^6)/a^8 + (12*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 7074] -> 2 + 2/a^6 - 8/a^4 + 7/a^2 - a^2 - a^4 + 
   4*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 5*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7075] -> 
  -3/a^18 + 16/a^16 - 27/a^14 + 13/a^12 + 2/a^10 - (4*z^2)/a^18 + 
   (35*z^2)/a^16 - (86*z^2)/a^14 + (56*z^2)/a^12 + (11*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (92*z^4)/a^14 + (89*z^4)/a^12 + (21*z^4)/a^10 + 
   (4*z^6)/a^16 - (40*z^6)/a^14 + (66*z^6)/a^12 + (18*z^6)/a^10 - 
   (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 7076] -> -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 
   6/a^10 - z^2/a^18 + (13*z^2)/a^16 - (31*z^2)/a^14 + (3*z^2)/a^12 + 
   (25*z^2)/a^10 + (2*z^2)/a^8 + (4*z^4)/a^16 - (24*z^4)/a^14 + 
   (11*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - (6*z^6)/a^14 + 
   (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7077] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 16/a^8 + 7/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (23*z^2)/a^10 - (37*z^2)/a^8 + (23*z^2)/a^6 - z^2/a^2 + (10*z^4)/a^10 - 
   (30*z^4)/a^8 + (24*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (9*z^6)/a^8 + 
   (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7078] -> -2/a^18 + 10/a^16 - 15/a^14 + 4/a^12 + 
   3/a^10 + a^(-8) - z^2/a^18 + (13*z^2)/a^16 - (33*z^2)/a^14 + 
   (11*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 + (4*z^4)/a^16 - 
   (25*z^4)/a^14 + (18*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - 
   (6*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7079] -> 
  -a^(-18) + 4/a^16 - 2/a^14 - 8/a^12 + 7/a^10 + a^(-8) + (4*z^2)/a^16 - 
   (9*z^2)/a^14 - (9*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (6*z^4)/a^14 + z^4/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 7080] -> -7 - 2/a^8 + 7/a^6 - 10/a^4 + 10/a^2 + 
   3*a^2 - 23*z^2 - z^2/a^8 + (11*z^2)/a^6 - (24*z^2)/a^4 + (28*z^2)/a^2 + 
   7*a^2*z^2 - 29*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (32*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 7081] -> 
  -8 - a^(-8) + 4/a^6 - 10/a^4 + 14/a^2 + 2*a^2 - 23*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (22*z^2)/a^4 + (34*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 7082] -> -8 - a^(-8) + 4/a^6 - 10/a^4 + 
   14/a^2 + 2*a^2 - 17*z^2 - z^2/a^8 + (9*z^2)/a^6 - (24*z^2)/a^4 + 
   (32*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (23*z^4)/a^4 + 
   (31*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7083] -> -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 
   4/a^10 - z^2/a^18 + (16*z^2)/a^16 - (46*z^2)/a^14 + (22*z^2)/a^12 + 
   (21*z^2)/a^10 + (5*z^4)/a^16 - (37*z^4)/a^14 + (33*z^4)/a^12 + 
   (35*z^4)/a^10 + (2*z^4)/a^8 - (9*z^6)/a^14 + (22*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 7084] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 
   39*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 27*a^2*z^2 - 5*a^4*z^2 - 37*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 + a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7085] -> 
  -4*a^4 + 10*a^6 - 8*a^10 + 3*a^12 - 12*a^4*z^2 + 25*a^6*z^2 + 18*a^8*z^2 - 
   28*a^10*z^2 + 6*a^12*z^2 - 13*a^4*z^4 + 26*a^6*z^4 + 39*a^8*z^4 - 
   32*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 33*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 7086] -> 
  6/a^8 - 24/a^6 + 29/a^4 - 10/a^2 + (17*z^2)/a^8 - (76*z^2)/a^6 + 
   (101*z^2)/a^4 - (35*z^2)/a^2 + (17*z^4)/a^8 - (94*z^4)/a^6 + 
   (139*z^4)/a^4 - (43*z^4)/a^2 + (7*z^6)/a^8 - (57*z^6)/a^6 + 
   (102*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 7087] -> -2 + 4/a^8 - 15/a^6 + 15/a^4 - a^(-2) - 
   9*z^2 + (8*z^2)/a^8 - (33*z^2)/a^6 + (32*z^2)/a^4 + (8*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^8 - (29*z^4)/a^6 + (30*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7088] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 
   35*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 35*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 35*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7089] -> 
  -3 + 4/a^8 - 14/a^6 + 12/a^4 + 2/a^2 - 12*z^2 + (8*z^2)/a^8 - 
   (31*z^2)/a^6 + (24*z^2)/a^4 + (17*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (28*z^4)/a^6 + (23*z^4)/a^4 + (28*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (15*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7090] -> -5 + 2/a^8 - 5/a^6 - 2/a^4 + 11/a^2 - 4*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (22*z^2)/a^2 - 3*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (7*z^4)/a^6 - z^4/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 7091] -> 
  5/a^8 - 20/a^6 + 24/a^4 - 8/a^2 + (13*z^2)/a^8 - (57*z^2)/a^6 + 
   (75*z^2)/a^4 - (25*z^2)/a^2 + (13*z^4)/a^8 - (70*z^4)/a^6 + 
   (101*z^4)/a^4 - (31*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + (77*z^6)/a^4 - 
   (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 7092] -> -2 + 3/a^8 - 11/a^6 + 10/a^4 + a^(-2) - 
   6*z^2 + (6*z^2)/a^8 - (24*z^2)/a^6 + (23*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (22*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7093] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 8*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7094] -> 
  -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - (29*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 7095] -> 
  1 - a^(-12) + 5/a^10 - 11/a^8 + 14/a^6 - 10/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + (32*z^2)/a^6 - (21*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (28*z^4)/a^6 - 
   (15*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7096] -> 
  -1 + a^(-10) - 6/a^8 + 13/a^6 - 14/a^4 + 8/a^2 - z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (27*z^2)/a^6 - (33*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (30*z^4)/a^4 + (12*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 7097] -> -3/a^14 + 13/a^12 - 20/a^10 + 
   10/a^8 + a^(-6) - (7*z^2)/a^14 + (34*z^2)/a^12 - (53*z^2)/a^10 + 
   (26*z^2)/a^8 + (5*z^2)/a^6 - (5*z^4)/a^14 + (37*z^4)/a^12 - 
   (60*z^4)/a^10 + (20*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - 
   (39*z^6)/a^10 + z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - 
   (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 7098] -> -2/a^14 + 7/a^12 - 7/a^10 - 2/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (14*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - 
   (11*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (10*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7099] -> 5/a^12 - 18/a^10 + 18/a^8 - 4/a^6 + 
   (8*z^2)/a^12 - (44*z^2)/a^10 + (56*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^4)/a^12 - (41*z^4)/a^10 + (68*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (42*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 7100] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7101] -> 
  -3 + 2/a^6 - 9/a^4 + 11/a^2 + a^2 - a^4 - 11*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7102] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (21*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 7103] -> 
  1 - 3/a^6 + 10/a^4 - 9/a^2 + 2*a^2 - z^2 - (5*z^2)/a^6 + (28*z^2)/a^4 - 
   (32*z^2)/a^2 + 7*a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - 
   (46*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 7104] -> 
  -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 6*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (32*z^2)/a^4 - 9*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (45*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 7105] -> 
  -3 - 2/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 7106] -> -a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 4/a^4 + 
   2/a^2 + z^2 + (5*z^2)/a^10 - (18*z^2)/a^8 + (23*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - (9*z^4)/a^8 + (20*z^4)/a^6 - (11*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (7*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7107] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 11/a^8 + 5/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (18*z^2)/a^10 - (24*z^2)/a^8 + (13*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   (9*z^4)/a^10 - (20*z^4)/a^8 + (12*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7108] -> -2/a^18 + 11/a^16 - 19/a^14 + 9/a^12 + 
   a^(-10) + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (46*z^2)/a^14 + 
   (28*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 + (5*z^4)/a^16 - 
   (35*z^4)/a^14 + (35*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 - 
   (8*z^6)/a^14 + (20*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7109] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 3/a^12 + 5/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (14*z^2)/a^14 - (3*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (8*z^4)/a^14 + (4*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 7110] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (19*z^2)/a^10 + (16*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (28*z^4)/a^10 + (37*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (16*z^6)/a^10 + (32*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 7111] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-4) + (2*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7112] -> 4 - a^(-6) + 4/a^4 - 6/a^2 + a^2 - a^4 + 
   5*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 + z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 7113] -> -2*a^2 + 4*a^4 + a^6 - 3*a^10 + a^12 - 
   5*a^2*z^2 + 8*a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 
   4*a^2*z^4 + 7*a^4*z^4 + 12*a^6*z^4 + 11*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 7114] -> 
  3/a^10 - 10/a^8 + 7/a^6 + 3/a^4 - 2/a^2 + (7*z^2)/a^10 - (28*z^2)/a^8 + 
   (23*z^2)/a^6 + (13*z^2)/a^4 - (9*z^2)/a^2 + (5*z^4)/a^10 - (29*z^4)/a^8 + 
   (28*z^4)/a^6 + (22*z^4)/a^4 - (12*z^4)/a^2 + z^6/a^10 - (13*z^6)/a^8 + 
   (19*z^6)/a^6 + (18*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + (7*z^8)/a^6 + 
   (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 7115] -> 2/a^10 - 6/a^8 + 2/a^6 + 5/a^4 - 2/a^2 - 
   2*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (15*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (16*z^4)/a^4 + z^4/a^2 - z^6 - (2*z^6)/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 7116] -> 4 - a^(-6) + 4/a^4 - 6/a^2 + a^2 - a^4 + 
   7*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7117] -> -1 + 2/a^10 - 6/a^8 + 3/a^6 + 2/a^4 + 
   a^(-2) - 4*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + 
   (10*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (14*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 7118] -> -1 + a^(-10) - 2/a^8 - 2/a^6 + 4/a^4 + 
   a^(-2) - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 7119] -> -1 + a^(-10) - 6/a^8 + 14/a^6 - 16/a^4 + 
   9/a^2 - 3*z^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (34*z^2)/a^6 - 
   (37*z^2)/a^4 + (18*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (32*z^4)/a^6 - (36*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 7120] -> 
  -5 - a^(-8) + 7/a^6 - 17/a^4 + 17/a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (38*z^2)/a^4 + (39*z^2)/a^2 + a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (34*z^4)/a^4 + (38*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7121] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (4*z^2)/a^12 - (12*z^2)/a^10 + 
   (4*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + 
   (11*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (10*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 7122] -> 1 + 6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   2*a^2*z^2 + 21*z^4 + (5*z^4)/a^4 - (19*z^4)/a^2 - 7*a^2*z^4 + 29*z^6 + 
   (4*z^6)/a^4 - (22*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + z^8/a^4 - (11*z^8)/a^2 - 
   5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 7123] -> a^(-8) - 2/a^6 + 2/a^2 + (5*z^2)/a^8 - 
   (18*z^2)/a^6 + (19*z^2)/a^4 - (6*z^2)/a^2 + (8*z^4)/a^8 - (37*z^4)/a^6 + 
   (47*z^4)/a^4 - (16*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + (49*z^6)/a^4 - 
   (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 7124] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 68*z^2 + 
   (12*z^2)/a^4 - (52*z^2)/a^2 - 24*a^2*z^2 + 97*z^4 + (13*z^4)/a^4 - 
   (68*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7125] -> 
  2 - a^(-2) + a^2 - a^4 + 16*z^2 - (5*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 
   34*z^4 - (8*z^4)/a^2 - 39*a^2*z^4 + 13*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 
   44*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 7126] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 11*z^2 - z^2/a^4 - z^2/a^2 - 12*a^2*z^2 + 
   4*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7127] -> 5 - 2/a^6 + 8/a^4 - 10/a^2 + 14*z^2 - 
   (7*z^2)/a^6 + (30*z^2)/a^4 - (39*z^2)/a^2 + 20*z^4 - (9*z^4)/a^6 + 
   (45*z^4)/a^4 - (63*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (55*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 7128] -> 
  -3/a^10 + 14/a^8 - 21/a^6 + 11/a^4 - (10*z^2)/a^10 + (48*z^2)/a^8 - 
   (69*z^2)/a^6 + (29*z^2)/a^4 - (12*z^4)/a^10 + (65*z^4)/a^8 - 
   (99*z^4)/a^6 + (32*z^4)/a^4 - (6*z^6)/a^10 + (44*z^6)/a^8 - (77*z^6)/a^6 + 
   (20*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 7129] -> -a^(-10) + 3/a^8 + a^(-6) - 8/a^4 + 6/a^2 - 
   (4*z^2)/a^10 + (14*z^2)/a^8 - (3*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - 
   (4*z^4)/a^10 + (18*z^4)/a^8 - (10*z^4)/a^6 - (28*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 7130] -> -a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 4/a^4 + 
   2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + (24*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (26*z^4)/a^6 - 
   (20*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7131] -> 1 + 2/a^10 - 9/a^8 + 13/a^6 - 7/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (24*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (31*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7132] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - z^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (25*z^2)/a^6 - (25*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (30*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7133] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - 
   z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (26*z^2)/a^6 - (22*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - 
   (24*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 7134] -> -a^(-10) + 4/a^8 - 5/a^6 + 
   a^(-4) + 2/a^2 - (5*z^2)/a^10 + (21*z^2)/a^8 - (21*z^2)/a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 7135] -> 
  3 - 4/a^6 + 14/a^4 - 14/a^2 + 2*a^2 + 3*z^2 - (8*z^2)/a^6 + (43*z^2)/a^4 - 
   (51*z^2)/a^2 + 9*a^2*z^2 - 7*z^4 - (5*z^4)/a^6 + (44*z^4)/a^4 - 
   (68*z^4)/a^2 + 12*a^2*z^4 - 12*z^6 - z^6/a^6 + (19*z^6)/a^4 - 
   (45*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - (15*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 7136] -> 
  1 - 2/a^8 + 5/a^6 - 5/a^2 + 2*a^2 + z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (5*z^2)/a^4 - (18*z^2)/a^2 + 5*a^2*z^2 - 2*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (11*z^4)/a^4 - (24*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (14*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 7137] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (23*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (23*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 7138] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^4 + 
   3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7139] -> 1 - 4/a^6 + 13/a^4 - 11/a^2 + a^2 + a^4 - 
   7*z^2 - (4*z^2)/a^6 + (24*z^2)/a^4 - (23*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   15*z^4 - z^4/a^6 + (15*z^4)/a^4 - (22*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 
   10*z^6 + (3*z^6)/a^4 - (11*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   (2*z^8)/a^2 - a^2*z^8, Knot[15, Alternating, 7140] -> 
  -1 - 2/a^8 + 5/a^6 - a^(-4) - 2/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (2*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 7141] -> 
  -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 29*z^2 - (4*z^2)/a^4 + 
   (19*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 15*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 7142] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 
   6*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + (27*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (29*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (17*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7143] -> 
  -4*a^4 + 11*a^6 - 4*a^8 - 3*a^10 + a^12 - 12*a^4*z^2 + 27*a^6*z^2 + 
   11*a^8*z^2 - 20*a^10*z^2 + 4*a^12*z^2 - 13*a^4*z^4 + 27*a^6*z^4 + 
   35*a^8*z^4 - 29*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 
   32*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 7144] -> 
  -2*a^2 + 5*a^4 - 3*a^6 + 5*a^8 - 5*a^10 + a^12 - 5*a^2*z^2 + 10*a^4*z^2 + 
   a^6*z^2 + 13*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   8*a^6*z^4 + 14*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   7*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 7145] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   30*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 27*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 31*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7146] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7147] -> 
  -1 + 2/a^10 - 7/a^8 + 7/a^6 - 3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (23*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (27*z^4)/a^6 - (24*z^4)/a^4 + (17*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7148] -> -1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 
   3/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7149] -> 2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 13*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7150] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 6*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + 
   (12*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 + 
   (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7151] -> -a^(-10) + 4/a^8 - 3/a^6 - 
   3/a^4 + 4/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (10*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (25*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 7152] -> 
  1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 + z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + 
   (35*z^2)/a^4 - (14*z^2)/a^2 - 2*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (44*z^4)/a^4 - (12*z^4)/a^2 - 3*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (31*z^6)/a^4 - z^6/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (3*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 7153] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (4*z^2)/a^12 - 
   (17*z^2)/a^10 + (19*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (25*z^4)/a^10 + (36*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (29*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 7154] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (9*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7155] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 - 
   z^2/a^6 + (7*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - 
   (13*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (21*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 7156] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - (12*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 7157] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 25*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 
   8*a^2*z^2 + a^4*z^2 - 28*z^4 - (4*z^4)/a^4 + (23*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - 17*z^6 - z^6/a^4 + (11*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7158] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (25*z^2)/a^4 + (11*z^2)/a^2 + 4*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (27*z^4)/a^4 + z^4/a^2 + 4*z^6 - z^6/a^8 + 
   (11*z^6)/a^6 - (16*z^6)/a^4 - (7*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 7159] -> -13 - 2/a^4 + 8/a^2 + 14*a^2 - 8*a^4 + 
   2*a^6 - 31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 33*a^2*z^2 - 20*a^4*z^2 + 
   5*a^6*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 33*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7160] -> 
  -11 - a^(-8) + 5/a^6 - 11/a^4 + 15/a^2 + 4*a^2 - 25*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (28*z^2)/a^4 + (35*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7161] -> 
  1 + 2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 7*z^4 - (5*z^4)/a^6 + 
   (19*z^4)/a^4 - (21*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (22*z^6)/a^4 - 
   (29*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 7162] -> 
  10 - 3/a^2 - 9*a^2 + 3*a^4 + 30*z^2 - (8*z^2)/a^2 - 33*a^2*z^2 + 
   11*a^4*z^2 + 43*z^4 - (9*z^4)/a^2 - 54*a^2*z^4 + 17*a^4*z^4 + 33*z^6 - 
   (5*z^6)/a^2 - 50*a^2*z^6 + 14*a^4*z^6 + 13*z^8 - z^8/a^2 - 27*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 7163] -> a^(-8) - 2/a^6 + 2/a^2 + (5*z^2)/a^8 - 
   (16*z^2)/a^6 + (15*z^2)/a^4 - (4*z^2)/a^2 + (8*z^4)/a^8 - (34*z^4)/a^6 + 
   (39*z^4)/a^4 - (13*z^4)/a^2 + (5*z^6)/a^8 - (31*z^6)/a^6 + (44*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 7164] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7165] -> 1 + 8*z^2 - (4*z^2)/a^6 + (16*z^2)/a^4 - 
   (20*z^2)/a^2 + 16*z^4 - (8*z^4)/a^6 + (36*z^4)/a^4 - (48*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 7166] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 
   35*z^2 + (7*z^2)/a^4 - (28*z^2)/a^2 - 12*a^2*z^2 + 55*z^4 + (9*z^4)/a^4 - 
   (42*z^4)/a^2 - 17*a^2*z^4 + 50*z^6 + (5*z^6)/a^4 - (33*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7167] -> 
  3 - 14*a^2 + 22*a^4 - 10*a^6 + 10*z^2 - 46*a^2*z^2 + 68*a^4*z^2 - 
   24*a^6*z^2 + 12*z^4 - 62*a^2*z^4 + 92*a^4*z^4 - 28*a^6*z^4 + 6*z^6 - 
   43*a^2*z^6 + 72*a^4*z^6 - 19*a^6*z^6 + z^8 - 15*a^2*z^8 + 34*a^4*z^8 - 
   7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 7168] -> -3 + a^(-2) - a^2 + 10*a^4 - 6*a^6 - 9*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 26*a^4*z^2 - 11*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 28*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7169] -> 
  -14 + a^(-6) - 6/a^4 + 13/a^2 + 10*a^2 - 3*a^4 - 34*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (30*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7170] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   14*a^2*z^2 + 8*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 24*a^2*z^4 + 
   10*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7171] -> 25 + 4/a^4 - 18/a^2 - 10*a^2 + 76*z^2 + 
   (12*z^2)/a^4 - (55*z^2)/a^2 - 27*a^2*z^2 + 102*z^4 + (13*z^4)/a^4 - 
   (69*z^4)/a^2 - 31*a^2*z^4 + 77*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7172] -> 
  13 + a^(-6) - 2/a^4 - 5/a^2 - 6*a^2 + 31*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   (8*z^2)/a^2 - 13*a^2*z^2 + 32*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7173] -> -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 9*a^2*z^4 + 
   5*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7174] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 
   10*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 13*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7175] -> 2 + 2/a^6 - 8/a^4 + 7/a^2 - a^2 - a^4 - z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 7176] -> -5 + a^(-10) - 5/a^8 + 10/a^6 - 15/a^4 + 
   15/a^2 - 11*z^2 + z^2/a^10 - (9*z^2)/a^8 + (24*z^2)/a^6 - (36*z^2)/a^4 + 
   (36*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (36*z^4)/a^4 + 
   (37*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7177] -> 
  -a^(-18) + 4/a^16 - a^(-14) - 11/a^12 + 10/a^10 - z^2/a^18 + (9*z^2)/a^16 - 
   (14*z^2)/a^14 - (19*z^2)/a^12 + (34*z^2)/a^10 + z^2/a^8 + (4*z^4)/a^16 - 
   (18*z^4)/a^14 - (4*z^4)/a^12 + (43*z^4)/a^10 + (3*z^4)/a^8 - 
   (6*z^6)/a^14 + (7*z^6)/a^12 + (24*z^6)/a^10 + (3*z^6)/a^8 + (3*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7178] -> 
  1 + 2/a^10 - 10/a^8 + 17/a^6 - 12/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (20*z^2)/a^8 + (35*z^2)/a^6 - (24*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (28*z^4)/a^6 - (17*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7179] -> 
  -7 - 2/a^8 + 7/a^6 - 10/a^4 + 10/a^2 + 3*a^2 - 17*z^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (25*z^4)/a^4 + (28*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7180] -> 
  -6 - a^(-6) + 2/a^4 + a^(-2) + 8*a^2 - 3*a^4 - 20*z^2 + (8*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 25*z^4 + z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7181] -> 2 - a^(-12) + 4/a^10 - 8/a^8 + 10/a^6 - 
   6/a^4 + 3*z^2 + (5*z^2)/a^10 - (15*z^2)/a^8 + (22*z^2)/a^6 - 
   (14*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (14*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (7*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7182] -> 
  -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 6/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (39*z^2)/a^14 + (11*z^2)/a^12 + (25*z^2)/a^10 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (25*z^4)/a^12 + (37*z^4)/a^10 + (2*z^4)/a^8 - 
   (9*z^6)/a^14 + (20*z^6)/a^12 + (23*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7183] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 3/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (15*z^2)/a^14 - z^2/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 - (9*z^4)/a^14 + 
   (6*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^12 + 
   (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 7184] -> 
  -4*a^4 + 10*a^6 - 8*a^10 + 3*a^12 - 2*a^2*z^2 - 5*a^4*z^2 + 21*a^6*z^2 + 
   10*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 21*a^6*z^4 + 
   18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 7185] -> -2 + 7*a^2 - 9*a^4 + 11*a^6 - 8*a^8 + 
   2*a^10 - 5*z^2 + 19*a^2*z^2 - 23*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - z^6 + 
   10*a^2*z^6 - 13*a^4*z^6 - 3*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 7186] -> 
  -4 + 2/a^8 - 6/a^6 + a^(-4) + 8/a^2 - 9*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (10*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (16*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7187] -> 
  -4 + 14*a^2 - 16*a^4 + 10*a^6 - 3*a^8 - 15*z^2 + (2*z^2)/a^2 + 37*a^2*z^2 - 
   34*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 38*a^2*z^4 - 
   30*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7188] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 6*z^2 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (11*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7189] -> -a^(-2) + 4*a^2 + a^4 - 5*a^6 + 2*a^8 + 
   2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 5*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7190] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7191] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 7192] -> a^(-10) - 6/a^8 + 10/a^6 - 
   7/a^4 + 3/a^2 + z^2 - z^2/a^10 - (3*z^2)/a^8 + (20*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   (10*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (16*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7193] -> -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - z^2/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (21*z^4)/a^8 + 
   (11*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7194] -> -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 4*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 
   13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7195] -> 2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (22*z^2)/a^6 - (7*z^2)/a^4 + z^4/a^12 - 
   (8*z^4)/a^10 + (3*z^4)/a^8 + (26*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7196] -> 
  -8 - a^(-8) + 4/a^6 - 10/a^4 + 14/a^2 + 2*a^2 - 23*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (22*z^2)/a^4 + (34*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 7197] -> -3 + a^(-10) - 5/a^8 + 9/a^6 - 
   11/a^4 + 10/a^2 - 8*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - 
   (29*z^2)/a^4 + (27*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (32*z^4)/a^4 + (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7198] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   7*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 10*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 7199] -> -2*a^2 + 4*a^4 + a^6 - 3*a^10 + 
   a^12 - z^2 - 2*a^2*z^2 + 7*a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 7*a^10*z^2 + 
   a^12*z^2 - z^4 + 6*a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 7200] -> 3 - a^(-2) - 4*a^2 + 7*a^4 - 5*a^6 + a^8 + 
   7*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 7*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7201] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (3*z^2)/a^6 + (16*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (15*z^4)/a^4 - z^4/a^2 - 
   z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 7202] -> 
  6 - 2/a^2 - 5*a^2 + 2*a^4 + a^6 - a^8 + 12*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 9*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7203] -> 
  -1 + a^(-4) - 3/a^2 + 9*a^2 - 5*a^4 - z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   16*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7204] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - 
   (19*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 7205] -> -1 + 2*a^2 + a^4 - a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + a^8*z^4 + 2*z^6 - 4*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7206] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - z^2/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7207] -> 
  12 + 2/a^6 - 5/a^4 - 2/a^2 - 6*a^2 + 27*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 - 
   12*a^2*z^2 + 27*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - 
   10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7208] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 6*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7209] -> 
  5 + a^(-6) - 2/a^4 - 2/a^2 + a^2 - 2*a^4 + 10*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7210] -> 26 + 5/a^4 - 20/a^2 - 10*a^2 + 76*z^2 + 
   (14*z^2)/a^4 - (59*z^2)/a^2 - 26*a^2*z^2 + 100*z^4 + (14*z^4)/a^4 - 
   (72*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - (46*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7211] -> 
  3 + 2/a^4 - 6/a^2 + 6*a^2 - 4*a^4 + 6*z^2 + (5*z^2)/a^4 - (16*z^2)/a^2 + 
   18*a^2*z^2 - 9*a^4*z^2 + 9*z^4 + (4*z^4)/a^4 - (18*z^4)/a^2 + 22*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 7212] -> 9 + a^(-6) - 2/a^4 - 3/a^2 - 4*a^2 + 19*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + 19*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7213] -> 
  -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - 
   (6*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 7214] -> -7 - a^(-8) + 3/a^6 - 3/a^4 + 5/a^2 + 4*a^2 - 
   18*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7215] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + 
   z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7216] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7217] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 9/a^2 - a^2 + 
   2*a^4 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 - z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 7218] -> a^(-6) - 3/a^4 + 2/a^2 + 
   3*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7219] -> 1 + 2/a^10 - 9/a^8 + 13/a^6 - 7/a^4 + 
   a^(-2) + z^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (31*z^2)/a^6 - (21*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 + z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - 
   (25*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (15*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 7220] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7221] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 7/a^8 + 3/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - 
   (17*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (9*z^4)/a^10 - (17*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7222] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 19*z^2 - z^2/a^6 + (11*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 16*z^4 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 7223] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7224] -> 7 - a^(-4) - 8*a^2 + 3*a^4 + 10*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 21*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 23*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 - 13*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 7225] -> -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 
   2/a^2 - (5*z^2)/a^10 + (26*z^2)/a^8 - (31*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - (45*z^4)/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - (34*z^6)/a^6 - (9*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 7226] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (16*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (6*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 7227] -> 1 - 3/a^6 + 10/a^4 - 9/a^2 + 
   2*a^2 - z^2 - (5*z^2)/a^6 + (28*z^2)/a^4 - (32*z^2)/a^2 + 7*a^2*z^2 - 
   7*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - (46*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - 
   z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 7228] -> -1 - 2/a^8 + 6/a^6 - 4/a^4 + 2*a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 7229] -> 
  -5 + 3/a^6 - 12/a^4 + 15/a^2 - 8*z^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + 
   (34*z^2)/a^2 - 2*a^2*z^2 + z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + 
   (33*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 + z^6/a^6 - (11*z^6)/a^4 + (18*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7230] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 11*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7231] -> -4*a^4 + 11*a^6 - 4*a^8 - 3*a^10 + a^12 - 
   a^2*z^2 - 9*a^4*z^2 + 28*a^6*z^2 + 2*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 29*a^6*z^4 + 12*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 16*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 7232] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 
   3*a^8 - 5*z^2 + 18*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   19*a^2*z^4 - 17*a^4*z^4 - a^6*z^4 + 4*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   11*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 7233] -> 
  3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7234] -> 
  1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 16*a^2*z^2 - 
   16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7235] -> -1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 
   5/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7236] -> 
  7 + 2/a^6 - 6/a^4 + 2/a^2 - 4*a^2 + 19*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 - 10*a^2*z^2 + 24*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (11*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 7237] -> 
  a^(-6) - 3/a^4 + 2/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7238] -> 2/a^8 - 6/a^6 + 5/a^4 - 4*z^2 + (4*z^2)/a^8 - 
   (14*z^2)/a^6 + (10*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (10*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7239] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 7240] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - z^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7241] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (5*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   (3*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7242] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 
   z^4 + z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + (10*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (9*z^6)/a^4 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 7243] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 - z^2/a^10 - (12*z^2)/a^8 + 
   (22*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 + 
   (24*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7244] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2 - 
   (7*z^2)/a^8 + (16*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7245] -> -1 - 2/a^4 + 4/a^2 - z^2/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 7246] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (24*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7247] -> 
  -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - a^4 - 14*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 14*z^4 - z^4/a^6 + (6*z^4)/a^4 + 
   2*a^2*z^4 + 2*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 7248] -> 
  -2 + 6*a^2 - 3*a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 + z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 7249] -> 1 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 7250] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + (4*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 7251] -> -a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 - 3*a^2 + 
   2*a^4 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 7252] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 8*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7253] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   16*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 7254] -> -2 + 4*a^2 + 4*a^4 - 8*a^6 + 3*a^8 - 5*z^2 + 
   12*a^2*z^2 + 8*a^4*z^2 - 22*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   3*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 7255] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 13*a^2*z^4 + 
   7*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7256] -> 30 + 5/a^4 - 22/a^2 - 12*a^2 + 88*z^2 + 
   (14*z^2)/a^4 - (64*z^2)/a^2 - 31*a^2*z^2 + 113*z^4 + (14*z^4)/a^4 - 
   (76*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 + (6*z^6)/a^4 - (47*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7257] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 24*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (20*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 7258] -> -2 + a^(-10) - 5/a^8 + 10/a^6 - 
   12/a^4 + 9/a^2 - 7*z^2 + z^2/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - 
   (31*z^2)/a^4 + (25*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (33*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7259] -> 1 - a^(-2) + 6*a^4 - 7*a^6 + 2*a^8 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 + 10*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7260] -> -2 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 
   4/a^2 + a^2 - 7*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7261] -> -a^(-2) + 6*a^2 - 6*a^4 + 3*a^6 - a^8 + 
   2*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7262] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   23*z^4 + z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7263] -> 
  -4 + a^(-8) - 4/a^6 + 4/a^4 + 2/a^2 + 2*a^2 - 12*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 7264] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   10*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7265] -> -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 
   13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7266] -> 
  -2 + 5*a^2 - 3*a^6 + a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7267] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*a^4 + 2*a^6 - 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 7268] -> -a^2 + a^4 + 2*a^6 + 4*a^8 - 7*a^10 + 
   2*a^12 - 3*a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 + 14*a^8*z^2 - 15*a^10*z^2 + 
   2*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 14*a^6*z^4 + 18*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 7269] -> -6 + a^(-2) + 9*a^2 - a^4 - 2*a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 + 17*a^4*z^4 - 8*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7270] -> 
  -2 + 2*a^2 + 6*a^4 - 6*a^6 + a^8 - 5*z^2 + 5*a^2*z^2 + 19*a^4*z^2 - 
   17*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 16*a^4*z^4 - 19*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 8*a^2*z^6 + 2*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 7271] -> -2 + a^(-10) - 5/a^8 + 10/a^6 - 12/a^4 + 
   9/a^2 - 7*z^2 + z^2/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - (31*z^2)/a^4 + 
   (25*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + 
   (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7272] -> 
  2 - a^(-2) - 4*a^2 + 11*a^4 - 9*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 19*a^4*z^2 - 16*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   11*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7273] -> -6 - a^(-8) + 5/a^6 - 12/a^4 + 14/a^2 + a^2 - 
   14*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (29*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7274] -> -7 + a^(-2) + 13*a^2 - 6*a^4 - 18*z^2 + 
   (3*z^2)/a^2 + 28*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7275] -> 
  2/a^10 - 7/a^8 + 6/a^6 - 2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (20*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (24*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 7276] -> 
  -1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 3/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 7277] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 
   2*a^2 - 19*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7278] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7279] -> 
  -3 - 2/a^4 + 6/a^2 - 2*a^4 + 2*a^6 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   13*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7280] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 3*a^4 + 
   2*a^6 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 + 4*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7281] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 20*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7282] -> 
  -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 11*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7283] -> 
  1 - a^(-2) + 4*a^2 - 3*a^4 - a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   8*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7284] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 
   4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 7285] -> -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 + 19*a^4*z^4 - 8*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7286] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 7287] -> 
  5 - 2/a^2 - a^2 - a^4 - a^6 + a^8 + 9*z^2 - (3*z^2)/a^2 - a^2*z^2 - 
   5*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 
   9*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7288] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (23*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7289] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7290] -> 
  1 - a^(-2) + 4*a^2 - 3*a^4 - a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7291] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 2*z^2 + (4*z^2)/a^8 - (17*z^2)/a^6 + 
   (20*z^2)/a^4 - (2*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (18*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (10*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7292] -> 
  11 + 2/a^6 - 6/a^4 - 6*a^2 + 27*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (4*z^2)/a^2 - 13*a^2*z^2 + 29*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (10*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 7293] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (20*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 7294] -> -7 - 2/a^8 + 9/a^6 - 16/a^4 + 
   15/a^2 + 2*a^2 - 19*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + 
   (34*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (35*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7295] -> 
  5 - 2/a^8 + 7/a^6 - 7/a^4 - 3*a^2 + a^4 + 8*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 7296] -> 
  -1 + 2/a^10 - 5/a^8 - 3/a^6 + 11/a^4 - 3/a^2 - 4*z^2 + (3*z^2)/a^10 - 
   (14*z^2)/a^8 + (4*z^2)/a^6 + (21*z^2)/a^4 - (2*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (16*z^4)/a^6 + (11*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7297] -> -4/a^18 + 20/a^16 - 32/a^14 + 15/a^12 + 
   2/a^10 - (4*z^2)/a^18 + (38*z^2)/a^16 - (92*z^2)/a^14 + (58*z^2)/a^12 + 
   (11*z^2)/a^10 - z^4/a^18 + (22*z^4)/a^16 - (94*z^4)/a^14 + (89*z^4)/a^12 + 
   (21*z^4)/a^10 + (4*z^6)/a^16 - (40*z^6)/a^14 + (66*z^6)/a^12 + 
   (18*z^6)/a^10 - (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + 
   (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 7298] -> 
  -2/a^18 + 9/a^16 - 11/a^14 - a^(-12) + 5/a^10 + a^(-8) - z^2/a^18 + 
   (13*z^2)/a^16 - (30*z^2)/a^14 + (5*z^2)/a^12 + (18*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^4)/a^16 - (25*z^4)/a^14 + (16*z^4)/a^12 + 
   (25*z^4)/a^10 + (8*z^4)/a^8 - (6*z^6)/a^14 + (13*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 7299] -> -3 + a^(-10) - 2/a^8 - 3/a^6 + 4/a^4 + 
   4/a^2 - 4*z^2 + z^2/a^10 - (5*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 7300] -> 
  -2/a^18 + 9/a^16 - 10/a^14 - 4/a^12 + 8/a^10 - z^2/a^18 + (13*z^2)/a^16 - 
   (28*z^2)/a^14 - (3*z^2)/a^12 + (27*z^2)/a^10 + (2*z^2)/a^8 + 
   (4*z^4)/a^16 - (24*z^4)/a^14 + (9*z^4)/a^12 + (35*z^4)/a^10 + 
   (5*z^4)/a^8 - (6*z^6)/a^14 + (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7301] -> 
  -a^(-18) + 4/a^16 - 3/a^14 - 4/a^12 + 2/a^10 + 3/a^8 + (4*z^2)/a^16 - 
   (9*z^2)/a^14 - (6*z^2)/a^12 + (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   (6*z^4)/a^14 + z^4/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 7302] -> -a^(-12) + 4/a^10 - 8/a^8 + 11/a^6 - 10/a^4 + 
   5/a^2 - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + (29*z^2)/a^6 - 
   (27*z^2)/a^4 + (10*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (31*z^4)/a^6 - 
   (32*z^4)/a^4 + (8*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (19*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7303] -> -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 
   6/a^10 - z^2/a^18 + (15*z^2)/a^16 - (39*z^2)/a^14 + (11*z^2)/a^12 + 
   (25*z^2)/a^10 + (5*z^4)/a^16 - (34*z^4)/a^14 + (25*z^4)/a^12 + 
   (37*z^4)/a^10 + (2*z^4)/a^8 - (9*z^6)/a^14 + (20*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 7304] -> a^(-14) - 4/a^12 + 7/a^10 - 9/a^8 + 6/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (14*z^2)/a^10 - (22*z^2)/a^8 + (15*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 + (8*z^4)/a^10 - (24*z^4)/a^8 + 
   (11*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7305] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7306] -> 
  -3*a^4 + 5*a^6 + 9*a^8 - 15*a^10 + 5*a^12 - 10*a^4*z^2 + 15*a^6*z^2 + 
   35*a^8*z^2 - 39*a^10*z^2 + 8*a^12*z^2 - 12*a^4*z^4 + 19*a^6*z^4 + 
   52*a^8*z^4 - 39*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 14*a^6*z^6 + 
   38*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 7307] -> 
  35 + 6/a^4 - 26/a^2 - 14*a^2 + 109*z^2 + (17*z^2)/a^4 - (79*z^2)/a^2 - 
   39*a^2*z^2 + 144*z^4 + (17*z^4)/a^4 - (95*z^4)/a^2 - 44*a^2*z^4 + 
   103*z^6 + (7*z^6)/a^4 - (57*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 7308] -> 9 + 3/a^4 - 11/a^2 + 5*a^2 - 5*a^4 + 19*z^2 + 
   (7*z^2)/a^4 - (27*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 20*z^4 + 
   (5*z^4)/a^4 - (26*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (12*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 7309] -> 
  -a^2 + 5*a^6 + 2*a^8 - 8*a^10 + 3*a^12 - 3*a^2*z^2 + 16*a^6*z^2 + 
   8*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 20*a^6*z^4 + 
   11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 7310] -> 16 + 2/a^6 - 5/a^4 - 4/a^2 - 8*a^2 + 40*z^2 + 
   (5*z^2)/a^6 - (16*z^2)/a^4 - (4*z^2)/a^2 - 18*a^2*z^2 + 42*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7311] -> 
  6 + a^(-6) - 2/a^4 - 3/a^2 + 2*a^2 - 3*a^4 + 14*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7312] -> 30 + 5/a^4 - 22/a^2 - 12*a^2 + 88*z^2 + 
   (14*z^2)/a^4 - (64*z^2)/a^2 - 31*a^2*z^2 + 113*z^4 + (14*z^4)/a^4 - 
   (76*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 + (6*z^6)/a^4 - (47*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7313] -> 
  -2 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 4/a^2 + a^2 - 7*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 7314] -> 
  -1 + a^(-10) - 6/a^8 + 12/a^6 - 12/a^4 + 7/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (26*z^2)/a^6 - (32*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (35*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7315] -> 
  -5 - 2/a^8 + 8/a^6 - 12/a^4 + 10/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (28*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7316] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 11/a^8 + 6/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (28*z^2)/a^10 - (28*z^2)/a^8 + (17*z^2)/a^6 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (31*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (18*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 7317] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) - z^2/a^12 + (8*z^2)/a^10 - 
   (17*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (23*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7318] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (46*z^2)/a^14 + (22*z^2)/a^12 + (21*z^2)/a^10 + (5*z^4)/a^16 - 
   (37*z^4)/a^14 + (33*z^4)/a^12 + (35*z^4)/a^10 + (2*z^4)/a^8 - 
   (9*z^6)/a^14 + (22*z^6)/a^12 + (23*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7319] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 6/a^12 + 8/a^10 + (5*z^2)/a^16 - 
   (14*z^2)/a^14 - (8*z^2)/a^12 + (24*z^2)/a^10 + (4*z^2)/a^8 - 
   (9*z^4)/a^14 + (3*z^4)/a^12 + (26*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + 
   (5*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 7320] -> -a^(-18) + 5/a^16 - 5/a^14 - 6/a^12 + 
   8/a^10 + (6*z^2)/a^16 - (16*z^2)/a^14 - (8*z^2)/a^12 + (26*z^2)/a^10 + 
   (3*z^2)/a^8 - (11*z^4)/a^14 + (4*z^4)/a^12 + (28*z^4)/a^10 + (8*z^4)/a^8 + 
   z^4/a^6 + (6*z^6)/a^12 + (11*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 7321] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - (5*z^2)/a^12 + (13*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + (9*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 - (7*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 7322] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   8*z^4 + z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   9*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 7323] -> 
  25 + 4/a^4 - 18/a^2 - 10*a^2 + 76*z^2 + (12*z^2)/a^4 - (55*z^2)/a^2 - 
   27*a^2*z^2 + 102*z^4 + (13*z^4)/a^4 - (69*z^4)/a^2 - 31*a^2*z^4 + 77*z^6 + 
   (6*z^6)/a^4 - (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 7324] -> 13 + a^(-6) - 2/a^4 - 5/a^2 - 6*a^2 + 
   31*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - (8*z^2)/a^2 - 13*a^2*z^2 + 32*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7325] -> 
  -7 - a^(-6) + a^(-4) + 4/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 7326] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 
   9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7327] -> 2 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 - a^2 + 
   a^4 + z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 7328] -> 4 + a^(-6) - 4/a^4 + 2/a^2 - a^2 - a^4 + 
   3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7329] -> 
  -5 - 2/a^8 + 6/a^6 - 6/a^4 + 5/a^2 + 3*a^2 - 21*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (30*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 7330] -> -5 - a^(-10) + 2/a^8 + a^(-6) - 
   4/a^4 + 5/a^2 + 3*a^2 - 12*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 7331] -> -a^2 + a^4 + a^6 + 7*a^8 - 
   10*a^10 + 3*a^12 - 3*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 + 20*a^8*z^2 - 
   20*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 13*a^6*z^4 + 
   22*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 7332] -> 1 + a^(-6) - 3/a^4 + a^(-2) + 4*a^2 - 3*a^4 - 
   7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 
   16*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7333] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + z^2/a^12 - (7*z^2)/a^10 + 
   (11*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7334] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 7335] -> 
  -3 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 + a^(-2) + 2*a^2 - 8*z^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (12*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 7336] -> -a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   a^2 + a^4 - z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - (3*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 7337] -> 
  -6 + a^(-8) - 3/a^6 - a^(-4) + 8/a^2 + 3*a^2 - a^4 - 15*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   15*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 7338] -> -2/a^16 + 11/a^14 - 20/a^12 + 13/a^10 - 
   3/a^8 + 2/a^6 - z^2/a^16 + (14*z^2)/a^14 - (43*z^2)/a^12 + (41*z^2)/a^10 - 
   (11*z^2)/a^8 + (7*z^2)/a^6 + (4*z^4)/a^14 - (29*z^4)/a^12 + 
   (47*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 - (6*z^6)/a^12 + 
   (23*z^6)/a^10 - (14*z^6)/a^8 + (5*z^6)/a^6 + (4*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[15, Alternating, 7339] -> 
  -a^(-16) + 5/a^14 - 7/a^12 + 4/a^8 - a^(-6) + a^(-4) + (4*z^2)/a^14 - 
   (13*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^4)/a^12 + (9*z^4)/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^10 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7340] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) + 
   a^2 - 3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 4*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + a^2*z^4 - 2*z^6 + 
   (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 7341] -> 
  -a^(-16) + 6/a^14 - 11/a^12 + 6/a^10 - a^(-8) + 2/a^6 + (5*z^2)/a^14 - 
   (20*z^2)/a^12 + (18*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^4)/a^12 + 
   (19*z^4)/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 + (7*z^6)/a^10 - 
   (4*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7342] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7343] -> 
  2 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + a^(-4) - 2/a^2 + 3*z^2 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^2 + 2*z^4 - 
   (6*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7344] -> -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 
   3/a^10 + 2/a^8 + (5*z^2)/a^16 - (15*z^2)/a^14 - z^2/a^12 + (13*z^2)/a^10 + 
   (8*z^2)/a^8 - (9*z^4)/a^14 + (6*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 + 
   z^4/a^6 + (5*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 7345] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + 
   (2*z^2)/a^12 - (8*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^14 + (5*z^4)/a^12 + 
   (2*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (12*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 7346] -> 
  a^(-12) - 10/a^8 + 14/a^6 - 4/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   (14*z^2)/a^8 + (36*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 - (3*z^4)/a^8 + (36*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (18*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7347] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7348] -> 11 + 2/a^6 - 6/a^4 - 6*a^2 + 27*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 - 13*a^2*z^2 + 29*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7349] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 2*z^2 + (4*z^2)/a^8 - (17*z^2)/a^6 + 
   (20*z^2)/a^4 - (2*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (18*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (10*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7350] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7351] -> a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - 
   z^2 + z^2/a^10 - (9*z^2)/a^8 + (25*z^2)/a^6 - (25*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (30*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7352] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - (6*z^6)/a^8 + (14*z^6)/a^6 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 7353] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 2*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 
   z^4 - (4*z^4)/a^6 + (24*z^4)/a^4 - (28*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - 
   z^6/a^6 + (15*z^6)/a^4 - (27*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 7354] -> -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (29*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (42*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (31*z^6)/a^6 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 7355] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - z^2/a^8 + 
   z^2/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (13*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 7356] -> -3/a^14 + 13/a^12 - 20/a^10 + 10/a^8 + 
   a^(-6) - (7*z^2)/a^14 + (34*z^2)/a^12 - (53*z^2)/a^10 + (26*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^4)/a^14 + (37*z^4)/a^12 - (60*z^4)/a^10 + 
   (20*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (39*z^6)/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 7357] -> 
  -2/a^14 + 7/a^12 - 7/a^10 - 2/a^8 + 5/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (14*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (12*z^4)/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 7358] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 13*z^2 + z^2/a^6 - (8*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7359] -> 4/a^8 - 16/a^6 + 19/a^4 - 6/a^2 - 2*z^2 + 
   (8*z^2)/a^8 - (40*z^2)/a^6 + (54*z^2)/a^4 - (15*z^2)/a^2 - 5*z^4 + 
   (5*z^4)/a^8 - (40*z^4)/a^6 + (64*z^4)/a^4 - (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (41*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7360] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 - (2*z^2)/a^6 + (17*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (18*z^4)/a^4 - (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (11*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 7361] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - (15*z^2)/a^2 + 7*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^6 + (28*z^4)/a^4 - (36*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (32*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 7362] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 15*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 34*z^4 + 
   (4*z^4)/a^4 - (26*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 7363] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + (21*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 7364] -> 
  -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 7365] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   11*z^2 + z^2/a^6 - (8*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 16*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7366] -> -5 - 2/a^8 + 7/a^6 - 9/a^4 + 8/a^2 + a^2 + 
   a^4 - 11*z^2 - z^2/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 7*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 7367] -> a^(-14) - 5/a^12 + 10/a^10 - 
   11/a^8 + 5/a^6 + a^(-4) - (5*z^2)/a^12 + (18*z^2)/a^10 - (24*z^2)/a^8 + 
   (13*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (9*z^4)/a^10 - (20*z^4)/a^8 + 
   (12*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (7*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7368] -> -2/a^18 + 11/a^16 - 19/a^14 + 9/a^12 + 
   a^(-10) + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (46*z^2)/a^14 + 
   (28*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 + (5*z^4)/a^16 - 
   (35*z^4)/a^14 + (35*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 - 
   (8*z^6)/a^14 + (20*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7369] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 3/a^12 + 5/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (14*z^2)/a^14 - (3*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (8*z^4)/a^14 + (4*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 7370] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (19*z^2)/a^10 + (16*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (28*z^4)/a^10 + (37*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (16*z^6)/a^10 + (32*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 7371] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-4) + (2*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7372] -> -2*a^2 + 3*a^4 + 5*a^6 - 5*a^8 - a^10 + 
   a^12 - 5*a^2*z^2 + 7*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 8*a^10*z^2 + 
   2*a^12*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 14*a^6*z^4 + 7*a^8*z^4 - 9*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 7373] -> 
  -3 + 4/a^6 - 16/a^4 + 18/a^2 - 2*a^2 + (8*z^2)/a^6 - (36*z^2)/a^4 + 
   (41*z^2)/a^2 - 7*a^2*z^2 + 11*z^4 + (5*z^4)/a^6 - (32*z^4)/a^4 + 
   (40*z^4)/a^2 - 9*a^2*z^4 + 13*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (22*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 7374] -> 
  3 + 2/a^6 - 7/a^4 + 5/a^2 - a^2 - a^4 + 10*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7375] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (10*z^4)/a^10 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 7376] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7377] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + (15*z^2)/a^4 - 
   (4*z^2)/a^2 + (8*z^4)/a^8 - (34*z^4)/a^6 + (39*z^4)/a^4 - (13*z^4)/a^2 + 
   (5*z^6)/a^8 - (31*z^6)/a^6 + (44*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 7378] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 35*z^2 + (7*z^2)/a^4 - (28*z^2)/a^2 - 
   12*a^2*z^2 + 55*z^4 + (9*z^4)/a^4 - (42*z^4)/a^2 - 17*a^2*z^4 + 50*z^6 + 
   (5*z^6)/a^4 - (33*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 7379] -> 1 + 2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*z^4 - (5*z^4)/a^6 + (19*z^4)/a^4 - (21*z^4)/a^2 + 9*z^6 - 
   (4*z^6)/a^6 + (22*z^6)/a^4 - (29*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 7380] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 
   3/a^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7381] -> 3 - 14*a^2 + 22*a^4 - 10*a^6 + 10*z^2 - 
   46*a^2*z^2 + 68*a^4*z^2 - 24*a^6*z^2 + 12*z^4 - 62*a^2*z^4 + 92*a^4*z^4 - 
   28*a^6*z^4 + 6*z^6 - 43*a^2*z^6 + 72*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 7382] -> 10 - 3/a^2 - 9*a^2 + 3*a^4 + 
   30*z^2 - (8*z^2)/a^2 - 33*a^2*z^2 + 11*a^4*z^2 + 43*z^4 - (9*z^4)/a^2 - 
   54*a^2*z^4 + 17*a^4*z^4 + 33*z^6 - (5*z^6)/a^2 - 50*a^2*z^6 + 14*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 7383] -> 
  -3 + a^(-2) - a^2 + 10*a^4 - 6*a^6 - 9*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   26*a^4*z^2 - 11*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + a^2*z^4 + 28*a^4*z^4 - 
   10*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7384] -> 1 + 8*z^2 - (4*z^2)/a^6 + (16*z^2)/a^4 - 
   (20*z^2)/a^2 + 16*z^4 - (8*z^4)/a^6 + (36*z^4)/a^4 - (48*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 7385] -> -3/a^10 + 14/a^8 - 21/a^6 + 
   11/a^4 - (10*z^2)/a^10 + (46*z^2)/a^8 - (65*z^2)/a^6 + (27*z^2)/a^4 - 
   (12*z^4)/a^10 + (62*z^4)/a^8 - (91*z^4)/a^6 + (29*z^4)/a^4 - 
   (6*z^6)/a^10 + (43*z^6)/a^8 - (72*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 7386] -> 
  -2/a^10 + 8/a^8 - 8/a^6 - a^(-4) + 4/a^2 - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (18*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (19*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (12*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 7387] -> -a^(-10) + 2/a^8 + 5/a^6 - 13/a^4 + 8/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - (31*z^2)/a^4 + (14*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 - (32*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 7388] -> 2/a^14 - 8/a^12 + 11/a^10 - 8/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^14 - (12*z^2)/a^12 + (27*z^2)/a^10 - (23*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (29*z^4)/a^8 + 
   (15*z^4)/a^6 - z^4/a^4 + (6*z^6)/a^10 - (18*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 7389] -> a^(-14) - 3/a^12 + a^(-10) + 3/a^8 - 4/a^6 + 
   3/a^4 - (4*z^2)/a^12 + (7*z^2)/a^10 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 + (6*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 - (4*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 7390] -> a^(-14) - 5/a^12 + 9/a^10 - 
   7/a^8 + 3/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - (17*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (9*z^4)/a^10 - (17*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7391] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7392] -> 1 + 2/a^10 - 9/a^8 + 13/a^6 - 7/a^4 + 
   a^(-2) + z^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (31*z^2)/a^6 - (21*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4 + z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - 
   (25*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (15*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 7393] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + 
   a^(-2) - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 7394] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   2/a^6 - 3/a^4 + 3/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (11*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7395] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 3*z^2 - 
   (5*z^2)/a^6 + (25*z^2)/a^4 - (26*z^2)/a^2 + 7*a^2*z^2 - 7*z^4 - 
   (4*z^4)/a^6 + (31*z^4)/a^4 - (44*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 7396] -> -1 - a^(-8) + 2/a^6 + a^(-4) - 2/a^2 + 
   2*a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + 
   4*a^2*z^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (16*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 7397] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) - z^2/a^14 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 - (14*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (6*z^4)/a^10 - (14*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 7398] -> -3 - a^(-8) + 2/a^6 + a^(-2) + 
   a^2 + a^4 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 7399] -> 
  -a^2 + 6*a^6 - 2*a^8 - 3*a^10 + a^12 - 3*a^2*z^2 + 16*a^6*z^2 + 6*a^8*z^2 - 
   12*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 18*a^6*z^4 + 15*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 11*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 7400] -> -1 + 3/a^6 - 12/a^4 + 13/a^2 - 2*a^2 + 
   (6*z^2)/a^6 - (27*z^2)/a^4 + (31*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (32*z^4)/a^2 - 6*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (18*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7401] -> 
  3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + z^2/a^12 + (2*z^2)/a^10 - (18*z^2)/a^8 + 
   (22*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (12*z^4)/a^8 + (21*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 7402] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7403] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7404] -> a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7405] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 7406] -> 
  -2/a^10 + 9/a^8 - 12/a^6 + 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (20*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - 
   (16*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (9*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 7407] -> 1 + a^(-10) - 6/a^8 + 12/a^6 - 10/a^4 + 
   3/a^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (24*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - 
   (25*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 7408] -> -3 - a^(-8) + 5/a^6 - 11/a^4 + 
   11/a^2 - 8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (25*z^2)/a^4 + 
   (24*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + 
   (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7409] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 19*z^2 - 
   z^2/a^6 + z^2/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   15*z^4 + (3*z^4)/a^4 + z^4/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 7410] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 19*z^2 - 
   z^2/a^6 + (11*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 7411] -> -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 
   6/a^10 - z^2/a^18 + (15*z^2)/a^16 - (39*z^2)/a^14 + (13*z^2)/a^12 + 
   (21*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (34*z^4)/a^14 + 
   (28*z^4)/a^12 + (29*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7412] -> 
  1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 + z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + 
   (35*z^2)/a^4 - (14*z^2)/a^2 - 2*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (44*z^4)/a^4 - (12*z^4)/a^2 - 3*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (31*z^6)/a^4 - z^6/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (3*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 7413] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (7*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (6*z^4)/a^6 + (10*z^4)/a^4 - (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (9*z^6)/a^4 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 7414] -> -a^(-18) + 5/a^16 - 7/a^14 + a^(-12) + 
   3/a^8 + (5*z^2)/a^16 - (16*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + (9*z^4)/a^12 + (12*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 7415] -> 6 - 3/a^2 - a^2 - a^4 + 7*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7416] -> 
  -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7417] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 - z^2/a^6 + (7*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - (13*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - 
   z^6/a^6 + (13*z^6)/a^4 - (21*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 7418] -> -1 - 2/a^4 + 4/a^2 - z^2/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 7419] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7420] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 - z^2/a^10 - z^2/a^8 + (14*z^2)/a^6 - (16*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7421] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7422] -> 
  -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7423] -> 
  -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7424] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 12*z^2 - (7*z^2)/a^6 + (28*z^2)/a^4 - 
   (35*z^2)/a^2 + 17*z^4 - (9*z^4)/a^6 + (42*z^4)/a^4 - (55*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (50*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 7425] -> 3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + 
   (8*z^2)/a^8 - (30*z^2)/a^6 + (34*z^2)/a^4 - (10*z^2)/a^2 + (9*z^4)/a^8 - 
   (43*z^4)/a^6 + (54*z^4)/a^4 - (17*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + 
   (50*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 7426] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 54*z^2 + 
   (10*z^2)/a^4 - (42*z^2)/a^2 - 18*a^2*z^2 + 70*z^4 + (10*z^4)/a^4 - 
   (51*z^4)/a^2 - 21*a^2*z^4 + 56*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7427] -> 
  -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 17*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 7428] -> -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - 
   6*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - (4*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (2*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7429] -> -9 - a^(-8) + 4/a^6 - 7/a^4 + 10/a^2 + 
   4*a^2 - 20*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7430] -> 7 + 2/a^6 - 6/a^4 + 2/a^2 - 4*a^2 + 15*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (9*z^2)/a^2 - 8*a^2*z^2 + 16*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (14*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7431] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - (2*z^2)/a^4 + (6*z^2)/a^2 - 10*a^2*z^2 + 
   5*a^4*z^2 - (2*z^4)/a^4 + (8*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7432] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (8*z^2)/a^8 - (35*z^2)/a^6 + 
   (46*z^2)/a^4 - (15*z^2)/a^2 + (9*z^4)/a^8 - (47*z^4)/a^6 + (67*z^4)/a^4 - 
   (21*z^4)/a^2 + (5*z^6)/a^8 - (34*z^6)/a^6 + (56*z^6)/a^4 - (15*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (28*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 7433] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 47*z^2 + (7*z^2)/a^4 - (33*z^2)/a^2 - 
   17*a^2*z^2 + 68*z^4 + (9*z^4)/a^4 - (46*z^4)/a^2 - 21*a^2*z^4 + 56*z^6 + 
   (5*z^6)/a^4 - (34*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 7434] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7435] -> -2/a^12 + 9/a^10 - 15/a^8 + 10/a^6 - 2/a^4 + 
   a^(-2) - (3*z^2)/a^12 + (18*z^2)/a^10 - (34*z^2)/a^8 + (27*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (33*z^4)/a^8 + 
   (29*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (17*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 7436] -> 
  3/a^10 - 12/a^8 + 15/a^6 - 7/a^4 + 2/a^2 - z^2 + (3*z^2)/a^10 - 
   (21*z^2)/a^8 + (38*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (36*z^4)/a^6 - (29*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (18*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7437] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 
   10*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 13*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7438] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 13*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7439] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^4 - 3/a^2 - a^2 + a^4 + 4*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[15, Alternating, 7440] -> -a^(-16) + 6/a^14 - 11/a^12 + 5/a^10 + 
   2/a^8 - a^(-6) + a^(-4) + (5*z^2)/a^14 - (20*z^2)/a^12 + (18*z^2)/a^10 + 
   (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (9*z^4)/a^12 + (20*z^4)/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (7*z^6)/a^10 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7441] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 
   3/a^2 - 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (17*z^2)/a^6 - 
   (10*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 7442] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 3/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (19*z^2)/a^8 + (24*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (28*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7443] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   z^2/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - z^4/a^10 - (21*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 7444] -> 
  -4 + 2/a^8 - 6/a^6 + a^(-4) + 8/a^2 - 9*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (10*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (16*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7445] -> 
  -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 12*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 
   15*a^4*z^2 - 8*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 + 19*a^4*z^4 - 
   8*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7446] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7447] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (26*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (31*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (17*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7448] -> 
  -3 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 + a^(-2) + a^2 + a^4 - 6*z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 - (5*z^4)/a^6 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 7449] -> -a^(-16) + 6/a^14 - 12/a^12 + 
   9/a^10 - 3/a^8 + a^(-6) + a^(-4) + (5*z^2)/a^14 - (21*z^2)/a^12 + 
   (24*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (9*z^4)/a^12 + 
   (22*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^4 + (7*z^6)/a^10 - (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7450] -> 3 + 2/a^8 - 7/a^6 + 6/a^4 - a^(-2) - 2*a^2 + 
   8*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (12*z^2)/a^4 - 5*a^2*z^2 + 9*z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (10*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 7451] -> a^(-8) - 3/a^6 + a^(-4) + 2/a^2 + 
   a^2 - a^4 + 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 7452] -> a^(-10) - 2/a^8 - 3/a^6 + 7/a^4 - 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (3*z^2)/a^6 + (16*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (15*z^4)/a^4 - z^4/a^2 - 
   z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 7453] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7454] -> 
  a^(-12) - 4/a^10 + 6/a^8 - 6/a^6 + 4/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (12*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 7455] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 
   2*a^2 - 16*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 7456] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 8*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7457] -> 4 - a^(-10) + 3/a^8 - a^(-6) - 4/a^2 + 
   5*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 - 
   (10*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7458] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) - z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (21*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (28*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7459] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 3/a^8 + a^(-6) + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (24*z^2)/a^10 - (17*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (27*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 + 
   (6*z^6)/a^10 - (18*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 7460] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (26*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (24*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7461] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (21*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (13*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 7462] -> 
  -10 + 2/a^2 + 16*a^2 - 7*a^4 - 25*z^2 + (5*z^2)/a^2 + 36*a^2*z^2 - 
   9*a^4*z^2 - 2*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 34*a^2*z^4 + a^4*z^4 - 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 18*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7463] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 7464] -> -7 + 2/a^6 - 9/a^4 + 13/a^2 + 
   3*a^2 - a^4 - 23*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (31*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 29*z^4 + z^4/a^6 - (12*z^4)/a^4 + (31*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7465] -> -9 + 2/a^2 + 12*a^2 - 2*a^4 - 2*a^6 - 
   22*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 - 21*z^4 + 
   (4*z^4)/a^2 + 23*a^2*z^4 + 12*a^4*z^4 - 7*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   13*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7466] -> 
  -1 - 2/a^8 + 9/a^6 - 14/a^4 + 9/a^2 - (5*z^2)/a^8 + (23*z^2)/a^6 - 
   (32*z^2)/a^4 + (13*z^2)/a^2 + 4*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (31*z^4)/a^4 + (2*z^4)/a^2 + 4*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (17*z^6)/a^4 - (7*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 7467] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 7468] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7469] -> 
  -4*a^4 + 11*a^6 - 4*a^8 - 3*a^10 + a^12 - a^2*z^2 - 9*a^4*z^2 + 
   28*a^6*z^2 + 2*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   6*a^4*z^4 + 29*a^6*z^4 + 12*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   16*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 7470] -> 1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   4*z^2 + 16*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7471] -> 
  -7 - a^(-6) + 2/a^4 + 2/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 14*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 7472] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 2*z^2 + z^2/a^2 - 5*a^2*z^2 + 18*a^4*z^2 - 
   7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7473] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 39*z^2 + (7*z^2)/a^4 - (30*z^2)/a^2 - 
   14*a^2*z^2 + 63*z^4 + (9*z^4)/a^4 - (45*z^4)/a^2 - 20*a^2*z^4 + 55*z^6 + 
   (5*z^6)/a^4 - (34*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 7474] -> -1 + 2/a^10 - 9/a^8 + 14/a^6 - 11/a^4 + 
   6/a^2 - 3*z^2 + z^2/a^10 - (12*z^2)/a^8 + (31*z^2)/a^6 - (31*z^2)/a^4 + 
   (17*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (34*z^4)/a^4 + 
   (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7475] -> 
  1 + a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - a^(-2) + z^2 - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4 + 
   (6*z^4)/a^8 - (9*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6 - (4*z^6)/a^6 + 
   z^6/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 7476] -> 
  -3 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 5/a^2 + 2*a^2 - 8*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 7477] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 2/a^4 - 
   a^(-2) - a^2 + a^4 + z^2 + (3*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 - (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 7478] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (33*z^2)/a^8 + (39*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (39*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (19*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7479] -> 
  6 + a^(-8) - 4/a^6 + 5/a^4 - 5/a^2 - a^2 - a^4 + 8*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7480] -> -a^(-16) + 6/a^14 - 13/a^12 + 13/a^10 - 
   8/a^8 + 3/a^6 + a^(-4) + (5*z^2)/a^14 - (23*z^2)/a^12 + (34*z^2)/a^10 - 
   (21*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + (30*z^4)/a^10 - 
   (22*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (9*z^6)/a^10 - (12*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 7481] -> 
  -5 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 3/a^2 + 3*a^2 - 12*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7482] -> -3 + a^(-10) - 5/a^8 + 9/a^6 - 11/a^4 + 
   10/a^2 - 8*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (29*z^2)/a^4 + 
   (27*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7483] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 10/a^10 - 6/a^8 + 4/a^6 + (5*z^2)/a^14 - 
   (22*z^2)/a^12 + (29*z^2)/a^10 - (18*z^2)/a^8 + (12*z^2)/a^6 - 
   (10*z^4)/a^12 + (29*z^4)/a^10 - (22*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 + 
   (10*z^6)/a^10 - (14*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 7484] -> -a^(-18) + 5/a^16 - 5/a^14 - 
   6/a^12 + 8/a^10 + (5*z^2)/a^16 - (14*z^2)/a^14 - (8*z^2)/a^12 + 
   (24*z^2)/a^10 + (4*z^2)/a^8 - (9*z^4)/a^14 + (3*z^4)/a^12 + 
   (26*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 7485] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 - (6*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7486] -> -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 
   27*z^2 + (5*z^2)/a^2 + 45*a^2*z^2 - 21*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + 
   (4*z^4)/a^2 + 41*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   20*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7487] -> 
  -2*a^2 + 5*a^4 - 4*a^6 + 9*a^8 - 10*a^10 + 3*a^12 - 5*a^2*z^2 + 
   10*a^4*z^2 - a^6*z^2 + 19*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 
   8*a^4*z^4 + 7*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 7488] -> -11 + 2/a^6 - 9/a^4 + 14/a^2 + 
   8*a^2 - 3*a^4 - 29*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 31*z^4 + z^4/a^6 - (12*z^4)/a^4 + (31*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7489] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7490] -> 
  3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 2/a^4 + (3*z^2)/a^12 - (17*z^2)/a^10 + 
   (12*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (13*z^4)/a^8 + (18*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7491] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7492] -> -1 - 2/a^8 + 6/a^6 - 4/a^4 + 2*a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 7493] -> 
  -3 - 4/a^4 + 8/a^2 - 6*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (20*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (22*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 7494] -> -3 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   3/a^2 + a^2 + a^4 - 6*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 7495] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 13*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 - a^6*z^2 + 10*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7496] -> -1 + 2*a^2 - a^4 + 3*a^6 - 3*a^10 + a^12 - 
   2*z^2 + 3*a^2*z^2 + a^4*z^2 + 7*a^6*z^2 + 3*a^8*z^2 - 6*a^10*z^2 + 
   a^12*z^2 - z^4 + 2*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 + 4*a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 7497] -> 2 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 + a^2 - 
   a^4 + 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 7498] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7499] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - 2*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (8*z^2)/a^4 - 6*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (8*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7500] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 
   13*z^2 + (5*z^2)/a^4 - (18*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 13*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 7501] -> 
  -2/a^10 + 8/a^8 - 8/a^6 - a^(-4) + 4/a^2 - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (16*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (16*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 7502] -> 2 - a^(-10) + 3/a^8 - 4/a^4 + a^(-2) + 
   4*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7503] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 11/a^8 + 5/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (19*z^2)/a^10 - (28*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 + (10*z^4)/a^10 - 
   (27*z^4)/a^8 + (24*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (10*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7504] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + 
   a^(-4) - (4*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (6*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7505] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - z^2/a^12 + 
   (4*z^2)/a^10 - (2*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7506] -> 
  1 + a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 3/a^4 + a^(-2) + z^2 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - z^4 + 
   (6*z^4)/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 - z^6/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 7507] -> -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - 
   a^(-4) - z^2/a^12 + (9*z^2)/a^10 - (26*z^2)/a^8 + (28*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (31*z^4)/a^6 - 
   (14*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (12*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7508] -> 1 - a^(-10) + 2/a^8 + 2/a^4 - 5/a^2 + 2*a^2 - 
   z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 + 
   3*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (10*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 7509] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + 
   z^2/a^12 - (7*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4/a^12 - (6*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7510] -> 
  -1 - a^(-10) + 2/a^8 + a^(-4) - 2/a^2 + a^2 + a^4 - 3*z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4, Knot[15, Alternating, 7511] -> 
  3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 4*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 7512] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7513] -> -1 + 2*a^2 - a^6 + 5*a^8 - 5*a^10 + a^12 - 
   2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 7*a^10*z^2 + 
   a^12*z^2 - z^4 + 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 7514] -> -3 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + 
   3*a^2 - a^4 - 7*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 + 7*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7515] -> 4 + a^(-4) - 4/a^2 + 2*a^4 - 2*a^6 + 7*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7516] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 3*a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7517] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 7518] -> 2 - a^(-10) + 4/a^8 - 4/a^6 + 
   a^(-4) - a^(-2) + 4*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 - 
   (6*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 7519] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 13*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 7520] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (11*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (8*z^4)/a^10 + 
   (9*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7521] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + a^2*z^4 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 7522] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - 
   z^2/a^10 + (5*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (9*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7523] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 7524] -> -2 - a^(-6) + 3/a^4 - 2/a^2 + 
   7*a^2 - 6*a^4 + 2*a^6 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 7525] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7526] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - 
   2*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 7527] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7528] -> 3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 16*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 16*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7529] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + z^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - (8*z^2)/a^4 - z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7530] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7531] -> 
  -a^(-12) + 5/a^10 - 11/a^8 + 13/a^6 - 9/a^4 + 4/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (24*z^2)/a^8 + (32*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (32*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7532] -> 
  -2 + a^(-10) - 6/a^8 + 12/a^6 - 13/a^4 + 9/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (26*z^2)/a^6 - (32*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (33*z^4)/a^4 + (23*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7533] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 - z^2/a^10 - (12*z^2)/a^8 + 
   (22*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 + 
   (24*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7534] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 
   39*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 27*a^2*z^2 - 5*a^4*z^2 - 37*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 + a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7535] -> 
  2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 5*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7536] -> 
  12 + 2/a^6 - 5/a^4 - 2/a^2 - 6*a^2 + 27*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 - 
   12*a^2*z^2 + 27*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - 
   10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7537] -> 5 + a^(-6) - 2/a^4 - 2/a^2 + a^2 - 2*a^4 + 
   10*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   10*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7538] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   6*a^4*z^4 - 12*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 7539] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   10*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7540] -> -a^(-12) + 4/a^10 - 5/a^8 + 2/a^6 - a^(-4) + 
   2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (14*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (22*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7541] -> -5 - 2/a^8 + 8/a^6 - 12/a^4 + 10/a^2 + 
   2*a^2 - 19*z^2 - z^2/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (29*z^2)/a^2 + 
   5*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (34*z^4)/a^2 + 
   6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 7542] -> 
  -7 - 2/a^8 + 8/a^6 - 13/a^4 + 13/a^2 + a^2 + a^4 - 17*z^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (29*z^2)/a^4 + (31*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   12*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (29*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (14*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 7543] -> -8 - 2/a^8 + 8/a^6 - 15/a^4 + 16/a^2 + 
   2*a^2 - 25*z^2 - z^2/a^8 + (12*z^2)/a^6 - (32*z^2)/a^4 + (41*z^2)/a^2 + 
   6*a^2*z^2 - 30*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (41*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 7544] -> 
  2/a^14 - 9/a^12 + 16/a^10 - 16/a^8 + 8/a^6 + z^2/a^14 - (13*z^2)/a^12 + 
   (35*z^2)/a^10 - (41*z^2)/a^8 + (25*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (26*z^4)/a^10 - (42*z^4)/a^8 + (29*z^4)/a^6 - (5*z^4)/a^4 + (6*z^6)/a^10 - 
   (21*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 7545] -> 
  -4/a^18 + 20/a^16 - 32/a^14 + 15/a^12 + 2/a^10 - (4*z^2)/a^18 + 
   (38*z^2)/a^16 - (92*z^2)/a^14 + (58*z^2)/a^12 + (11*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (94*z^4)/a^14 + (89*z^4)/a^12 + (21*z^4)/a^10 + 
   (4*z^6)/a^16 - (40*z^6)/a^14 + (66*z^6)/a^12 + (18*z^6)/a^10 - 
   (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 7546] -> -2/a^18 + 9/a^16 - 10/a^14 - 4/a^12 + 
   8/a^10 - z^2/a^18 + (13*z^2)/a^16 - (28*z^2)/a^14 - (3*z^2)/a^12 + 
   (27*z^2)/a^10 + (2*z^2)/a^8 + (4*z^4)/a^16 - (24*z^4)/a^14 + 
   (9*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - (6*z^6)/a^14 + 
   (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7547] -> 
  -2 + a^2 + 10*a^4 - 11*a^6 + 3*a^8 - 5*z^2 + 5*a^2*z^2 + 22*a^4*z^2 - 
   23*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 16*a^4*z^4 - 21*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 8*a^2*z^6 + 2*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 7548] -> -5 - a^(-10) + 3/a^8 - 3/a^6 - a^(-4) + 
   6/a^2 + 2*a^2 - 10*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7549] -> a^(-14) - 4/a^12 + 5/a^10 - 2/a^8 - 2/a^6 + 
   3/a^4 - (4*z^2)/a^12 + (10*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - z^2/a^2 + (6*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^8 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 7550] -> 
  -2/a^18 + 9/a^16 - 11/a^14 - a^(-12) + 5/a^10 + a^(-8) - z^2/a^18 + 
   (13*z^2)/a^16 - (30*z^2)/a^14 + (5*z^2)/a^12 + (18*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^4)/a^16 - (25*z^4)/a^14 + (16*z^4)/a^12 + 
   (25*z^4)/a^10 + (8*z^4)/a^8 - (6*z^6)/a^14 + (13*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 7551] -> -a^(-18) + 4/a^16 - 3/a^14 - 4/a^12 + 
   2/a^10 + 3/a^8 + (4*z^2)/a^16 - (9*z^2)/a^14 - (6*z^2)/a^12 + 
   (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (6*z^4)/a^14 + z^4/a^12 + 
   (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 7552] -> 
  4 - a^(-6) + 4/a^4 - 6/a^2 + a^2 - a^4 + 5*z^2 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (9*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 7553] -> -12 + 2/a^6 - 10/a^4 + 17/a^2 + 5*a^2 - a^4 - 
   31*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (38*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 32*z^4 + z^4/a^6 - (13*z^4)/a^4 + (35*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7554] -> 
  2*a^2 - a^4 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7555] -> 
  -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + 18*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 17*a^4*z^4 - a^6*z^4 + 
   4*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 7556] -> -11 - a^(-8) + 5/a^6 - 11/a^4 + 15/a^2 + 
   4*a^2 - 24*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (29*z^2)/a^4 + 
   (36*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (29*z^4)/a^4 + (37*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7557] -> 
  -13 - 2/a^4 + 8/a^2 + 14*a^2 - 8*a^4 + 2*a^6 - 32*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 34*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 - 31*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 35*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7558] -> 
  26 + 5/a^4 - 20/a^2 - 10*a^2 + 76*z^2 + (14*z^2)/a^4 - (59*z^2)/a^2 - 
   26*a^2*z^2 + 100*z^4 + (14*z^4)/a^4 - (72*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + 
   (6*z^6)/a^4 - (46*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 7559] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 6*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7560] -> 
  3 + 2/a^4 - 6/a^2 + 6*a^2 - 4*a^4 + 6*z^2 + (5*z^2)/a^4 - (16*z^2)/a^2 + 
   18*a^2*z^2 - 9*a^4*z^2 + 9*z^4 + (4*z^4)/a^4 - (18*z^4)/a^2 + 22*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 7561] -> -15 + a^(-6) - 6/a^4 + 14/a^2 + 9*a^2 - 
   2*a^4 - 38*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (33*z^2)/a^2 + 19*a^2*z^2 - 
   3*a^4*z^2 - 39*z^4 + z^4/a^6 - (10*z^4)/a^4 + (31*z^4)/a^2 + 17*a^2*z^4 - 
   2*a^4*z^4 - 21*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7562] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - (6*z^6)/a^8 + (14*z^6)/a^6 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 7563] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7564] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (4*z^2)/a^12 - 
   (17*z^2)/a^10 + (19*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (25*z^4)/a^10 + (36*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (29*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 7565] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (11*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (8*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7566] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 7567] -> 5 - 2/a^4 + 3/a^2 - 8*a^2 + 
   2*a^4 + a^6 + z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 15*a^2*z^2 + 4*a^6*z^2 - 
   12*z^4 - z^4/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7568] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - (12*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 7569] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - z^2/a^10 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (9*z^4)/a^4 + 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7570] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (10*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 7571] -> 2 - 2/a^4 + 4/a^2 - 6*a^2 + 3*a^4 - z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 17*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 21*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 13*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 7572] -> -5 - 2/a^8 + 7/a^6 - 9/a^4 + 
   8/a^2 + a^2 + a^4 - 11*z^2 - z^2/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + 
   (16*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 7573] -> 
  8 - a^(-6) + 4/a^4 - 7/a^2 - 4*a^2 + a^4 + 12*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (12*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7574] -> 
  -1 + 2/a^10 - 9/a^8 + 15/a^6 - 13/a^4 + 7/a^2 - 4*z^2 + (3*z^2)/a^10 - 
   (18*z^2)/a^8 + (35*z^2)/a^6 - (31*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - (31*z^4)/a^4 + (18*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7575] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7576] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 3*a^4 - 
   30*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 27*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 31*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7577] -> 
  -7 + 2/a^6 - 9/a^4 + 13/a^2 + 3*a^2 - a^4 - 23*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (31*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (31*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7578] -> 
  -2 - a^(-6) + 3/a^4 - 2/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7579] -> 2 - a^(-2) + a^2 - a^4 + 16*z^2 - 
   (5*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 34*z^4 - (8*z^4)/a^2 - 39*a^2*z^4 + 
   13*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 44*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 7580] -> 1 + 6*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 21*z^4 + (5*z^4)/a^4 - (19*z^4)/a^2 - 
   7*a^2*z^4 + 29*z^6 + (4*z^6)/a^4 - (22*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 7581] -> 6 - 2/a^2 - 4*a^2 + a^4 + 11*z^2 - 
   z^2/a^4 - z^2/a^2 - 12*a^2*z^2 + 4*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 16*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 7582] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + (19*z^2)/a^4 - 
   (6*z^2)/a^2 + (8*z^4)/a^8 - (37*z^4)/a^6 + (47*z^4)/a^4 - (16*z^4)/a^2 + 
   (5*z^6)/a^8 - (32*z^6)/a^6 + (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 7583] -> 
  21 + 4/a^4 - 16/a^2 - 8*a^2 + 68*z^2 + (12*z^2)/a^4 - (52*z^2)/a^2 - 
   24*a^2*z^2 + 97*z^4 + (13*z^4)/a^4 - (68*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + 
   (6*z^6)/a^4 - (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 7584] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7585] -> 
  -a^(-12) + 5/a^10 - 11/a^8 + 13/a^6 - 9/a^4 + 4/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (24*z^2)/a^8 + (32*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (32*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7586] -> 
  -2 + a^(-10) - 6/a^8 + 12/a^6 - 13/a^4 + 9/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (26*z^2)/a^6 - (32*z^2)/a^4 + (22*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (33*z^4)/a^4 + (23*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7587] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7588] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (21*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (13*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 7589] -> 
  -10 + 2/a^2 + 16*a^2 - 7*a^4 - 25*z^2 + (5*z^2)/a^2 + 36*a^2*z^2 - 
   9*a^4*z^2 - 2*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 34*a^2*z^4 + a^4*z^4 - 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 18*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7590] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7591] -> 
  -a^(-12) + 7/a^10 - 19/a^8 + 27/a^6 - 21/a^4 + 8/a^2 - z^2/a^12 + 
   (10*z^2)/a^10 - (34*z^2)/a^8 + (55*z^2)/a^6 - (44*z^2)/a^4 + 
   (13*z^2)/a^2 + (4*z^4)/a^10 - (23*z^4)/a^8 + (46*z^4)/a^6 - (40*z^4)/a^4 + 
   (9*z^4)/a^2 - (6*z^6)/a^8 + (20*z^6)/a^6 - (20*z^6)/a^4 + (4*z^6)/a^2 + 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7592] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 - 6*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (8*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7593] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 13*z^2 + 
   (5*z^2)/a^4 - (18*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 13*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 7594] -> 
  -9 + 2/a^2 + 12*a^2 - 2*a^4 - 2*a^6 - 22*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 + 
   4*a^4*z^2 - 6*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 + 12*a^4*z^4 - 
   7*a^6*z^4 - 10*z^6 + z^6/a^2 + 13*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7595] -> 35 + 6/a^4 - 26/a^2 - 14*a^2 + 109*z^2 + 
   (17*z^2)/a^4 - (79*z^2)/a^2 - 39*a^2*z^2 + 144*z^4 + (17*z^4)/a^4 - 
   (95*z^4)/a^2 - 44*a^2*z^4 + 103*z^6 + (7*z^6)/a^4 - (57*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 7596] -> 
  16 + 2/a^6 - 5/a^4 - 4/a^2 - 8*a^2 + 40*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 - 
   (4*z^2)/a^2 - 18*a^2*z^2 + 42*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7597] -> 9 + 3/a^4 - 11/a^2 + 5*a^2 - 5*a^4 + 19*z^2 + 
   (7*z^2)/a^4 - (27*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 20*z^4 + 
   (5*z^4)/a^4 - (26*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (12*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 7598] -> 
  6 + a^(-6) - 2/a^4 - 3/a^2 + 2*a^2 - 3*a^4 + 14*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7599] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 2*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 6*z^4 - (4*z^4)/a^6 + (13*z^4)/a^4 - 
   (14*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (21*z^6)/a^4 - (28*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 7600] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 9/a^6 - 4/a^4 + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (20*z^2)/a^8 + (24*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (26*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (15*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7601] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 11/a^8 + 5/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (19*z^2)/a^10 - (28*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 + (10*z^4)/a^10 - 
   (27*z^4)/a^8 + (24*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (10*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7602] -> -10 - a^(-6) + a^(-4) + 5/a^2 + 9*a^2 - 
   4*a^4 + a^6 - 21*z^2 - z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 19*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 7603] -> -12 - 2/a^4 + 8/a^2 + 10*a^2 - 
   3*a^4 - 29*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 18*a^2*z^2 - 3*a^4*z^2 - 
   28*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7604] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 15*a^2*z^2 - 6*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 6*a^4*z^4 - 12*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 7605] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 6*z^2 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (11*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7606] -> a^(-14) - 4/a^12 + 6/a^10 - 5/a^8 + a^(-6) + 
   2/a^4 - (5*z^2)/a^12 + (16*z^2)/a^10 - (20*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 + (10*z^4)/a^10 - (24*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - (10*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 7607] -> -a^(-12) + 5/a^10 - 11/a^8 + 
   12/a^6 - 7/a^4 + 3/a^2 + z^2 + (5*z^2)/a^10 - (20*z^2)/a^8 + 
   (33*z^2)/a^6 - (23*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - (10*z^4)/a^8 + 
   (30*z^4)/a^6 - (29*z^4)/a^4 + (4*z^4)/a^2 + z^6 + (10*z^6)/a^6 - 
   (16*z^6)/a^4 - (4*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7608] -> 
  -5 - a^(-10) + 2/a^8 + a^(-6) - 6/a^4 + 8/a^2 + 2*a^2 - 11*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 - (6*z^4)/a^6 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 7609] -> 
  1 - a^(-2) + 6*a^4 - 7*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 + 
   10*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7610] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) - z^2/a^12 + (8*z^2)/a^10 - 
   (17*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (23*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7611] -> 
  2/a^14 - 8/a^12 + 12/a^10 - 11/a^8 + 6/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (28*z^2)/a^10 - (28*z^2)/a^8 + (17*z^2)/a^6 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (31*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (18*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 7612] -> 
  -1 + a^(-10) - 6/a^8 + 12/a^6 - 12/a^4 + 7/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (26*z^2)/a^6 - (32*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (35*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7613] -> 
  -5 - 2/a^8 + 8/a^6 - 12/a^4 + 10/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (28*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7614] -> 
  -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 4*z^2 - z^2/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 14*a^2*z^4 - 11*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7615] -> 
  1 - a^(-2) + 6*a^2 - 10*a^4 + 7*a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   12*a^2*z^2 - 22*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 21*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   11*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7616] -> 2 - a^(-2) + 2*a^4 - 3*a^6 + a^8 + 5*z^2 - 
   (2*z^2)/a^2 + a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   4*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7617] -> 3 - a^(-2) - 4*a^2 + 7*a^4 - 5*a^6 + a^8 + 
   6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7618] -> 5/a^8 - 20/a^6 + 24/a^4 - 8/a^2 + 
   (13*z^2)/a^8 - (57*z^2)/a^6 + (75*z^2)/a^4 - (25*z^2)/a^2 + (13*z^4)/a^8 - 
   (70*z^4)/a^6 + (101*z^4)/a^4 - (31*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (77*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 7619] -> -2 + 3/a^8 - 11/a^6 + 10/a^4 + a^(-2) - 
   6*z^2 + (6*z^2)/a^8 - (24*z^2)/a^6 + (23*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (22*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7620] -> -8 - a^(-6) + 2/a^4 + 3/a^2 + 8*a^2 - 5*a^4 + 
   2*a^6 - 16*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 17*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 7621] -> 1 - a^(-2) + 6*a^2 - 10*a^4 + 
   7*a^6 - 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 22*a^4*z^2 + 
   12*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 21*a^4*z^4 + 
   6*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7622] -> 
  -1 + 3/a^6 - 12/a^4 + 13/a^2 - 2*a^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + 
   (31*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + 
   (32*z^4)/a^2 - 6*a^2*z^4 + 9*z^6 + z^6/a^6 - (11*z^6)/a^4 + (18*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7623] -> 1 - a^(-12) + 5/a^10 - 11/a^8 + 14/a^6 - 
   10/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + 
   (32*z^2)/a^6 - (21*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (28*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7624] -> -1 + a^(-10) - 6/a^8 + 13/a^6 - 14/a^4 + 
   8/a^2 - z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (33*z^2)/a^4 + 
   (17*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - 
   (30*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (13*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7625] -> -13 - 3/a^4 + 10/a^2 + 10*a^2 - 3*a^4 - 
   34*z^2 + z^2/a^6 - (7*z^2)/a^4 + (24*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 
   37*z^4 + z^4/a^6 - (7*z^4)/a^4 + (24*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 
   21*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7626] -> 
  -13 - 2/a^4 + 8/a^2 + 14*a^2 - 8*a^4 + 2*a^6 - 31*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 33*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 - 30*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 33*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7627] -> 
  -11 - a^(-8) + 5/a^6 - 11/a^4 + 15/a^2 + 4*a^2 - 25*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (28*z^2)/a^4 + (35*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7628] -> 
  -13 + 2/a^6 - 10/a^4 + 18/a^2 + 4*a^2 - 26*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (27*z^2)/a^4 + (41*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (27*z^4)/a^4 + (40*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7629] -> 
  -8 + 2/a^2 + 8*a^2 + 3*a^4 - 4*a^6 - 20*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 + 
   16*a^4*z^2 - 10*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 + 23*a^4*z^4 - 
   10*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7630] -> -2 + 4*a^2 + 4*a^4 - 8*a^6 + 3*a^8 - 5*z^2 + 
   12*a^2*z^2 + 8*a^4*z^2 - 22*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   3*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 7631] -> 
  a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 8/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (29*z^2)/a^6 - (41*z^2)/a^4 + (23*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (40*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7632] -> 
  -14 + a^(-6) - 6/a^4 + 13/a^2 + 10*a^2 - 3*a^4 - 34*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (30*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7633] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 13*a^2*z^4 + 
   7*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 7634] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7635] -> -1 + 2/a^10 - 10/a^8 + 17/a^6 - 14/a^4 + 
   7/a^2 - 4*z^2 + z^2/a^10 - (13*z^2)/a^8 + (37*z^2)/a^6 - (40*z^2)/a^4 + 
   (22*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (26*z^4)/a^6 - (43*z^4)/a^4 + 
   (27*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (21*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7636] -> 
  -10 - a^(-6) + a^(-4) + 5/a^2 + 9*a^2 - 4*a^4 + a^6 - 21*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 7637] -> a^(-12) - 4/a^10 + 3/a^8 + 4/a^6 - 7/a^4 + 
   4/a^2 - z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (11*z^2)/a^4 + (8*z^2)/a^2 - 
   2*z^4 + (6*z^4)/a^8 - (7*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 7638] -> -a^(-18) + 4/a^16 - 2/a^14 - 8/a^12 + 
   7/a^10 + a^(-8) - z^2/a^18 + (9*z^2)/a^16 - (16*z^2)/a^14 - 
   (11*z^2)/a^12 + (25*z^2)/a^10 + (4*z^2)/a^8 + (4*z^4)/a^16 - 
   (19*z^4)/a^14 + (3*z^4)/a^12 + (33*z^4)/a^10 + (6*z^4)/a^8 - 
   (6*z^6)/a^14 + (9*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7639] -> 
  -a^(-16) + 6/a^14 - 13/a^12 + 12/a^10 - 7/a^8 + 4/a^6 + (5*z^2)/a^14 - 
   (23*z^2)/a^12 + (32*z^2)/a^10 - (18*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   (10*z^4)/a^12 + (29*z^4)/a^10 - (19*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (9*z^6)/a^10 - (11*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7640] -> -a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 - 3*a^2 + 
   2*a^4 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 7641] -> 
  -14 + a^(-6) - 5/a^4 + 11/a^2 + 12*a^2 - 4*a^4 - 36*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (29*z^2)/a^2 + 24*a^2*z^2 - 5*a^4*z^2 - 37*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 20*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7642] -> 
  -2 + a^(-2) - 5*a^2 + 15*a^4 - 8*a^6 - 12*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   33*a^4*z^2 - 14*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 + 31*a^4*z^4 - 
   11*a^6*z^4 - 10*z^6 + z^6/a^2 + 9*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7643] -> -8 + 2/a^2 + 8*a^2 + 3*a^4 - 4*a^6 - 12*z^2 + 
   z^2/a^4 + 16*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 14*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7644] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 14*a^2*z^2 + 8*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7645] -> 
  -13 + a^(-6) - 5/a^4 + 10/a^2 + 13*a^2 - 5*a^4 - 33*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (27*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (28*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7646] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7647] -> 
  -a^(-2) + 6*a^2 - 6*a^4 + 3*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   15*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 10*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7648] -> 
  -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 17*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (22*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 7649] -> -3 + a^(-10) - 4/a^8 + 5/a^6 - 6/a^4 + 
   8/a^2 - 8*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (23*z^2)/a^4 + 
   (25*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + 
   (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7650] -> 
  -9 + a^(-6) - 5/a^4 + 9/a^2 + 8*a^2 - 3*a^4 - 22*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (21*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7651] -> 
  3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   16*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   16*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7652] -> a^(-14) - 5/a^12 + 10/a^10 - 11/a^8 + 5/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (19*z^2)/a^10 - (27*z^2)/a^8 + (16*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + (10*z^4)/a^10 - (25*z^4)/a^8 + (18*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - (9*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7653] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 + 12*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 9*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7654] -> 
  2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (20*z^2)/a^8 + (35*z^2)/a^6 - (25*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (32*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + 
   (16*z^6)/a^6 - (15*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7655] -> 
  -8 - a^(-4) + 3/a^2 + 15*a^2 - 10*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 36*a^2*z^2 - 21*a^4*z^2 + 4*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 37*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 7656] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 
   3/a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - (24*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (28*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7657] -> 
  -2 - a^(-6) + 3/a^4 - 2/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 4*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7658] -> 5 + a^(-4) - 4/a^2 - 4*a^2 + 7*a^4 - 4*a^6 + 
   7*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + 
   4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 7659] -> 1 - a^(-2) + 4*a^2 - 3*a^4 - a^6 + 
   a^8 + 3*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7660] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 14/a^6 - 9/a^4 + 4/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (36*z^2)/a^6 - (27*z^2)/a^4 + (9*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (36*z^4)/a^6 - (32*z^4)/a^4 + (8*z^4)/a^2 - 
   (6*z^6)/a^8 + (18*z^6)/a^6 - (19*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7661] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7662] -> -a^(-12) + 4/a^10 - 5/a^8 + 2/a^6 - a^(-4) + 
   2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (14*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (22*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7663] -> a^(-14) - 6/a^12 + 14/a^10 - 16/a^8 + 7/a^6 + 
   a^(-4) + z^2/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 - (37*z^2)/a^8 + 
   (18*z^2)/a^6 + z^2/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (37*z^4)/a^8 + 
   (19*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - (19*z^6)/a^8 + (12*z^6)/a^6 - 
   (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 7664] -> -5 - 2/a^8 + 8/a^6 - 12/a^4 + 10/a^2 + 
   2*a^2 - 19*z^2 - z^2/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (29*z^2)/a^2 + 
   5*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (34*z^4)/a^2 + 
   6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 7665] -> 
  -7 - 2/a^8 + 8/a^6 - 13/a^4 + 13/a^2 + a^2 + a^4 - 17*z^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (29*z^2)/a^4 + (31*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   12*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (29*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (14*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 7666] -> 2 + 2/a^6 - 8/a^4 + 7/a^2 - a^2 - a^4 + 
   4*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 5*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7667] -> 
  -3/a^18 + 16/a^16 - 27/a^14 + 13/a^12 + 2/a^10 - (4*z^2)/a^18 + 
   (35*z^2)/a^16 - (86*z^2)/a^14 + (56*z^2)/a^12 + (11*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (92*z^4)/a^14 + (89*z^4)/a^12 + (21*z^4)/a^10 + 
   (4*z^6)/a^16 - (40*z^6)/a^14 + (66*z^6)/a^12 + (18*z^6)/a^10 - 
   (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 7668] -> -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 
   6/a^10 - z^2/a^18 + (13*z^2)/a^16 - (31*z^2)/a^14 + (3*z^2)/a^12 + 
   (25*z^2)/a^10 + (2*z^2)/a^8 + (4*z^4)/a^16 - (24*z^4)/a^14 + 
   (11*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - (6*z^6)/a^14 + 
   (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7669] -> 
  -1 - 3*a^2 + 15*a^4 - 13*a^6 + 3*a^8 - 4*z^2 - 2*a^2*z^2 + 33*a^4*z^2 - 
   27*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 24*a^4*z^4 - 23*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 8*a^2*z^6 + 4*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 7670] -> -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 4*z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7671] -> a^(-14) - 6/a^12 + 14/a^10 - 16/a^8 + 7/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (23*z^2)/a^10 - (37*z^2)/a^8 + (23*z^2)/a^6 - 
   z^2/a^2 + (10*z^4)/a^10 - (30*z^4)/a^8 + (24*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (9*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7672] -> 
  -2/a^18 + 10/a^16 - 15/a^14 + 4/a^12 + 3/a^10 + a^(-8) - z^2/a^18 + 
   (13*z^2)/a^16 - (33*z^2)/a^14 + (11*z^2)/a^12 + (16*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^4)/a^16 - (25*z^4)/a^14 + (18*z^4)/a^12 + 
   (25*z^4)/a^10 + (8*z^4)/a^8 - (6*z^6)/a^14 + (13*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 7673] -> -a^(-18) + 4/a^16 - 2/a^14 - 8/a^12 + 
   7/a^10 + a^(-8) + (4*z^2)/a^16 - (9*z^2)/a^14 - (9*z^2)/a^12 + 
   (16*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (6*z^4)/a^14 + z^4/a^12 + 
   (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 7674] -> 
  -1 + 2/a^10 - 9/a^8 + 15/a^6 - 13/a^4 + 7/a^2 - 4*z^2 + (3*z^2)/a^10 - 
   (18*z^2)/a^8 + (35*z^2)/a^6 - (31*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - (31*z^4)/a^4 + (18*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7675] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7676] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 22*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 7677] -> -1 + a^(-10) - 6/a^8 + 14/a^6 - 
   16/a^4 + 9/a^2 - 3*z^2 + (2*z^2)/a^10 - (14*z^2)/a^8 + (34*z^2)/a^6 - 
   (37*z^2)/a^4 + (18*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (32*z^4)/a^6 - (36*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 7678] -> 
  -5 - a^(-8) + 7/a^6 - 17/a^4 + 17/a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (38*z^2)/a^4 + (39*z^2)/a^2 + a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (34*z^4)/a^4 + (38*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7679] -> 
  5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + (13*z^2)/a^8 - (52*z^2)/a^6 + 
   (63*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - (66*z^4)/a^6 + (88*z^4)/a^4 - 
   (27*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (71*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 7680] -> 
  -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 6*z^2 + (6*z^2)/a^8 - (21*z^2)/a^6 + 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (17*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7681] -> 
  -4 + a^(-8) - 8/a^4 + 12/a^2 - 10*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (27*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 - 
   (5*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7682] -> 2 + 2/a^6 - 8/a^4 + 7/a^2 - a^2 - 
   a^4 - z^2 + z^2/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 5*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 7683] -> 
  -5 + a^(-10) - 5/a^8 + 10/a^6 - 15/a^4 + 15/a^2 - 11*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (24*z^2)/a^6 - (36*z^2)/a^4 + (36*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (36*z^4)/a^4 + (37*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7684] -> 
  -a^(-18) + 4/a^16 - a^(-14) - 11/a^12 + 10/a^10 - z^2/a^18 + (9*z^2)/a^16 - 
   (14*z^2)/a^14 - (19*z^2)/a^12 + (34*z^2)/a^10 + z^2/a^8 + (4*z^4)/a^16 - 
   (18*z^4)/a^14 - (4*z^4)/a^12 + (43*z^4)/a^10 + (3*z^4)/a^8 - 
   (6*z^6)/a^14 + (7*z^6)/a^12 + (24*z^6)/a^10 + (3*z^6)/a^8 + (3*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7685] -> 
  1 + 2/a^10 - 10/a^8 + 17/a^6 - 12/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (20*z^2)/a^8 + (35*z^2)/a^6 - (24*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (28*z^4)/a^6 - (17*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7686] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^2 - 2*a^4 + a^6 - 10*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 7687] -> 
  -1 + a^(-4) - 3/a^2 + 9*a^2 - 5*a^4 - z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   16*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7688] -> 2 - a^(-2) + 2*a^4 - 3*a^6 + a^8 + 5*z^2 - 
   (2*z^2)/a^2 + a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   4*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7689] -> 4/a^8 - 14/a^6 + 15/a^4 - 4/a^2 + 
   (12*z^2)/a^8 - (49*z^2)/a^6 + (60*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - 
   (67*z^4)/a^6 + (92*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 7690] -> -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (16*z^2)/a^6 + (5*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (10*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7691] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 
   22*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (26*z^2)/a^2 + 7*a^2*z^2 - 
   30*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (31*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 7692] -> -1 - 2/a^8 + 8/a^6 - 12/a^4 + 8/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (28*z^2)/a^4 + (20*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7693] -> -8 + a^(-6) - 7/a^4 + 13/a^2 + 2*a^2 - 
   21*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (28*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   23*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7694] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 7/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (23*z^2)/a^8 + (25*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (30*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7695] -> 
  -7 - a^(-8) + 4/a^6 - 8/a^4 + 11/a^2 + a^2 + a^4 - 15*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (24*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 7696] -> -2 + 2*a^2 + 6*a^4 - 6*a^6 + a^8 - 5*z^2 + 
   5*a^2*z^2 + 19*a^4*z^2 - 17*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 
   16*a^4*z^4 - 19*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 + 2*a^4*z^6 - 
   12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 7697] -> 
  2 - a^(-2) - 3*a^2 + 8*a^4 - 6*a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 + 
   10*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 + 
   a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7698] -> 
  -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 7699] -> 
  -10 + a^(-6) - 6/a^4 + 12/a^2 + 5*a^2 - a^4 - 24*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (27*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7700] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 17*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 15*a^4*z^4 - 5*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 7701] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 
   5*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7702] -> -7 - a^(-6) + 2/a^4 + 2/a^2 + 9*a^2 - 6*a^4 + 
   2*a^6 - 14*z^2 - z^2/a^6 + (4*z^2)/a^4 + 19*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 7703] -> 3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 - 6*z^2 + 
   (6*z^2)/a^8 - (22*z^2)/a^6 + (18*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (16*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7704] -> -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 7705] -> -5 + a^(-6) - 4/a^4 + 6/a^2 + 
   5*a^2 - 2*a^4 - 18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7706] -> -3 + 2/a^8 - 6/a^6 + 2/a^4 + 6/a^2 - 9*z^2 + 
   (4*z^2)/a^8 - (13*z^2)/a^6 + (3*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (4*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7707] -> -3 + 10*a^2 - 11*a^4 + 8*a^6 - 3*a^8 - 
   9*z^2 + z^2/a^2 + 26*a^2*z^2 - 26*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7708] -> 
  -3*a^4 + 6*a^6 + 5*a^8 - 10*a^10 + 3*a^12 - a^2*z^2 - 7*a^4*z^2 + 
   19*a^6*z^2 + 16*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 24*a^6*z^4 + 19*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   15*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 7709] -> -7 - 2/a^8 + 9/a^6 - 16/a^4 + 15/a^2 + 
   2*a^2 - 26*z^2 - z^2/a^8 + (12*z^2)/a^6 - (32*z^2)/a^4 + (39*z^2)/a^2 + 
   7*a^2*z^2 - 32*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (39*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 7710] -> 
  -3 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 + a^(-2) + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 - 
   (6*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 - 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 7711] -> 
  2 - a^(-10) + 4/a^8 - 7/a^6 + 8/a^4 - 5/a^2 - a^2 + a^4 + 4*z^2 + 
   (4*z^2)/a^8 - (11*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - (6*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[15, Alternating, 7712] -> -2/a^16 + 11/a^14 - 20/a^12 + 13/a^10 - 
   3/a^8 + 2/a^6 - z^2/a^16 + (14*z^2)/a^14 - (43*z^2)/a^12 + (41*z^2)/a^10 - 
   (11*z^2)/a^8 + (7*z^2)/a^6 + (4*z^4)/a^14 - (29*z^4)/a^12 + 
   (47*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 - (6*z^6)/a^12 + 
   (23*z^6)/a^10 - (14*z^6)/a^8 + (5*z^6)/a^6 + (4*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[15, Alternating, 7713] -> 
  -1 - a^(-2) + 10*a^2 - 11*a^4 + 5*a^6 - a^8 + z^2 - (2*z^2)/a^2 + 
   18*a^2*z^2 - 24*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   11*a^2*z^4 - 23*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   12*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7714] -> -a^(-16) + 5/a^14 - 7/a^12 + 4/a^8 - a^(-6) + 
   a^(-4) + (4*z^2)/a^14 - (13*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (6*z^4)/a^12 + (9*z^4)/a^10 + (7*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^10 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^8 - z^8/a^6, Knot[15, Alternating, 7715] -> 
  -a^(-16) + 7/a^14 - 19/a^12 + 26/a^10 - 20/a^8 + 7/a^6 + a^(-4) + 
   (5*z^2)/a^14 - (27*z^2)/a^12 + (52*z^2)/a^10 - (44*z^2)/a^8 + 
   (15*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + (38*z^4)/a^10 - 
   (40*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (10*z^6)/a^10 - (19*z^6)/a^8 + 
   z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 7716] -> 
  -a^(-18) + 4/a^16 - a^(-14) - 11/a^12 + 10/a^10 - z^2/a^18 + (9*z^2)/a^16 - 
   (14*z^2)/a^14 - (19*z^2)/a^12 + (34*z^2)/a^10 + z^2/a^8 + (4*z^4)/a^16 - 
   (18*z^4)/a^14 - (4*z^4)/a^12 + (43*z^4)/a^10 + (3*z^4)/a^8 - 
   (6*z^6)/a^14 + (7*z^6)/a^12 + (24*z^6)/a^10 + (3*z^6)/a^8 + (3*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 7717] -> 
  -25 + 2/a^6 - 11/a^4 + 23/a^2 + 17*a^2 - 5*a^4 - 50*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (46*z^2)/a^2 + 31*a^2*z^2 - 7*a^4*z^2 - 42*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (38*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7718] -> 
  -2 + 7*a^2 - 9*a^4 + 11*a^6 - 8*a^8 + 2*a^10 - 5*z^2 + 19*a^2*z^2 - 
   23*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   23*a^4*z^4 + 10*a^6*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 3*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 7719] -> -a^(-12) + 7/a^10 - 17/a^8 + 
   15/a^6 - 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - (33*z^2)/a^8 + (39*z^2)/a^6 - 
   (11*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (23*z^4)/a^8 + (39*z^4)/a^6 - 
   (16*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + (19*z^6)/a^6 - (12*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 7720] -> -3 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   3/a^2 + 2*a^2 - 10*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7721] -> -5 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 
   6/a^2 + a^2 + a^4 - 9*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + (3*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 7722] -> 6 + a^(-8) - 4/a^6 + 5/a^4 - 5/a^2 - a^2 - 
   a^4 + 8*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 7723] -> -a^(-16) + 6/a^14 - 13/a^12 + 
   13/a^10 - 8/a^8 + 3/a^6 + a^(-4) + (5*z^2)/a^14 - (23*z^2)/a^12 + 
   (34*z^2)/a^10 - (21*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + 
   (30*z^4)/a^10 - (22*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (9*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7724] -> 4 + a^(-8) - 5/a^6 + 9/a^4 - 8/a^2 + a^2 - 
   a^4 + 4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - (3*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 7725] -> 
  3 - a^(-2) - 4*a^2 + 7*a^4 - 5*a^6 + a^8 + 7*z^2 - (2*z^2)/a^2 - 
   9*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7726] -> -a^(-4) + 3/a^2 - 5*a^2 + 6*a^4 - 2*a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 14*a^2*z^2 + 9*a^4*z^2 - z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 15*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7727] -> 5 + a^(-8) - 2/a^6 + a^(-4) - 2/a^2 - 2*a^2 + 
   9*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 8*z^4 + z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 7728] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7729] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 16/a^8 + 7/a^6 + a^(-4) + z^2/a^14 - 
   (10*z^2)/a^12 + (30*z^2)/a^10 - (37*z^2)/a^8 + (18*z^2)/a^6 + z^2/a^4 - 
   (4*z^4)/a^12 + (23*z^4)/a^10 - (37*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^6)/a^10 - (19*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 7730] -> 
  6 - a^(-4) - 5*a^2 + a^6 + 4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 11*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - 10*z^4 - z^4/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 - 
   8*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7731] -> 1 - 2/a^4 + 4/a^2 - 3*a^2 + a^6 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7732] -> 
  -12 + 2/a^6 - 10/a^4 + 17/a^2 + 5*a^2 - a^4 - 31*z^2 + (3*z^2)/a^6 - 
   (19*z^2)/a^4 + (38*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 32*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (35*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7733] -> 
  -25 + 2/a^6 - 11/a^4 + 23/a^2 + 17*a^2 - 5*a^4 - 50*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (46*z^2)/a^2 + 31*a^2*z^2 - 7*a^4*z^2 - 42*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (38*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7734] -> 
  3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + (10*z^2)/a^8 - (40*z^2)/a^6 + 
   (48*z^2)/a^4 - (16*z^2)/a^2 + (12*z^4)/a^8 - (60*z^4)/a^6 + (81*z^4)/a^4 - 
   (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + (70*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 7735] -> 
  2/a^8 - 6/a^6 + 5/a^4 - 5*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + (14*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + (17*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7736] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 
   2/a^2 - 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (18*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (25*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7737] -> 
  1 - 2/a^4 + 4/a^2 - 3*a^2 + a^6 - 6*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7738] -> 3 - a^(-6) + 2/a^4 - a^(-2) - 3*a^2 + a^6 + 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7739] -> -5 + 3/a^6 - 12/a^4 + 15/a^2 - 8*z^2 + 
   (6*z^2)/a^6 - (27*z^2)/a^4 + (34*z^2)/a^2 - 2*a^2*z^2 + z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (33*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (18*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7740] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 7741] -> 
  -a^2 + a^4 + a^6 + 7*a^8 - 10*a^10 + 3*a^12 - 3*a^2*z^2 + 2*a^4*z^2 + 
   7*a^6*z^2 + 20*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 13*a^6*z^4 + 22*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 7742] -> 5/a^8 - 20/a^6 + 24/a^4 - 
   8/a^2 + (13*z^2)/a^8 - (59*z^2)/a^6 + (79*z^2)/a^4 - (27*z^2)/a^2 + 
   (13*z^4)/a^8 - (73*z^4)/a^6 + (109*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - 
   (46*z^6)/a^6 + (82*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (36*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 7743] -> -3 + 3/a^8 - 10/a^6 + 7/a^4 + 
   4/a^2 - 10*z^2 + (6*z^2)/a^8 - (23*z^2)/a^6 + (16*z^2)/a^4 + 
   (16*z^2)/a^2 - 11*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + (17*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7744] -> -5 + a^(-8) - a^(-6) - 7/a^4 + 
   13/a^2 - 12*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - (10*z^2)/a^4 + 
   (30*z^2)/a^2 - 11*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 - (2*z^4)/a^4 + 
   (31*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7745] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 
   4*a^2 - 2*a^4 + a^6 - 13*z^2 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 7746] -> 
  -5 + a^(-10) - 5/a^8 + 10/a^6 - 15/a^4 + 15/a^2 - 11*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (24*z^2)/a^6 - (36*z^2)/a^4 + (36*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (36*z^4)/a^4 + (37*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7747] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 24*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 27*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 7748] -> -7 - a^(-8) + 3/a^6 - 5/a^4 + 8/a^2 + 
   3*a^2 - 24*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 + 
   8*a^2*z^2 - 31*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (30*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 7749] -> 
  -25 + 2/a^6 - 11/a^4 + 23/a^2 + 17*a^2 - 5*a^4 - 50*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (46*z^2)/a^2 + 31*a^2*z^2 - 7*a^4*z^2 - 42*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (38*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7750] -> 
  -3 - 2/a^8 + 7/a^6 - 8/a^4 + 5/a^2 + 2*a^2 - 17*z^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (25*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (32*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 7751] -> -3 - a^(-10) + 2/a^8 + 2/a^6 - 
   6/a^4 + 5/a^2 + 2*a^2 - 10*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 7752] -> -a^(-16) + 7/a^14 - 19/a^12 + 
   26/a^10 - 20/a^8 + 7/a^6 + a^(-4) + (5*z^2)/a^14 - (27*z^2)/a^12 + 
   (52*z^2)/a^10 - (44*z^2)/a^8 + (15*z^2)/a^6 + (3*z^2)/a^4 - 
   (10*z^4)/a^12 + (38*z^4)/a^10 - (40*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (10*z^6)/a^10 - (19*z^6)/a^8 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7753] -> 4 + a^(-8) - 5/a^6 + 9/a^4 - 8/a^2 + a^2 - 
   a^4 + 4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - (3*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 7754] -> 
  a^(-14) - 8/a^12 + 24/a^10 - 32/a^8 + 17/a^6 - a^(-4) + z^2/a^14 - 
   (11*z^2)/a^12 + (41*z^2)/a^10 - (63*z^2)/a^8 + (37*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^4)/a^12 + (26*z^4)/a^10 - (52*z^4)/a^8 + (34*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^6)/a^10 - (22*z^6)/a^8 + (18*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 7755] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 19*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 23*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   5*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 7756] -> -2 + a^(-8) - a^(-6) - 4/a^4 + 
   7/a^2 - 7*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + (16*z^2)/a^2 - 
   8*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (4*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7757] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7758] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 15/a^6 - 3/a^4 - z^2/a^12 + (10*z^2)/a^10 - 
   (33*z^2)/a^8 + (39*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (39*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (19*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 7759] -> 
  -8 + a^(-8) - 4/a^6 + 3/a^4 + 5/a^2 + 5*a^2 - a^4 - 13*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7760] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + z^2/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - (21*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (29*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7761] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 17*z^2 + (3*z^2)/a^2 + 28*a^2*z^2 - 
   10*a^4*z^2 - 18*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7762] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 6*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (27*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (29*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 + z^6/a^6 - (11*z^6)/a^4 + (17*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 7763] -> -25 + 2/a^6 - 11/a^4 + 23/a^2 + 17*a^2 - 
   5*a^4 - 50*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (46*z^2)/a^2 + 31*a^2*z^2 - 
   7*a^4*z^2 - 42*z^4 + z^4/a^6 - (13*z^4)/a^4 + (38*z^4)/a^2 + 24*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7764] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 6*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + 
   (12*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 + 
   (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7765] -> -9 + a^(-6) - 5/a^4 + 9/a^2 + 
   8*a^2 - 3*a^4 - 22*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 
   19*a^2*z^2 - 6*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7766] -> 1 + a^(-6) - 3/a^4 + a^(-2) + 4*a^2 - 3*a^4 - 
   7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 
   16*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7767] -> 
  -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 27*z^2 + (5*z^2)/a^2 + 45*a^2*z^2 - 
   21*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 41*a^2*z^4 - 10*a^4*z^4 - 
   2*a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7768] -> 3 - a^(-2) - 4*a^2 + 7*a^4 - 5*a^6 + a^8 + 
   6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7769] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7770] -> 
  -3 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 3/a^2 + 2*a^2 - 10*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 7771] -> -5 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 
   6/a^2 + a^2 + a^4 - 9*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + (3*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 7772] -> 1 - a^(-2) + a^2 + 3*a^4 - 4*a^6 + a^8 + 
   3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7773] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 13*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 - a^6*z^2 + 10*z^4 + z^4/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7774] -> -8 + a^(-8) - 4/a^6 + 3/a^4 + 5/a^2 + 5*a^2 - 
   a^4 - 13*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 7775] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7776] -> 2/a^8 - 6/a^6 + 5/a^4 - 4*z^2 + (4*z^2)/a^8 - 
   (14*z^2)/a^6 + (10*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (10*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7777] -> 7 + 2/a^6 - 6/a^4 + 2/a^2 - 4*a^2 + 19*z^2 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 24*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7778] -> 
  a^(-6) - 3/a^4 + 2/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7779] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7780] -> 
  -2 - a^(-6) + a^(-4) + 3/a^2 - a^2 + a^6 - 9*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7781] -> 
  2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 13*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (13*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 7782] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7783] -> 3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 12*a^2*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7784] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 7785] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 
   2*a^2 + 10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 3*a^4*z^2 + 
   12*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7786] -> 4 + a^(-4) - 4/a^2 + 2*a^4 - 2*a^6 + 7*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7787] -> -1 + 2/a^10 - 9/a^8 + 14/a^6 - 11/a^4 + 
   6/a^2 - 3*z^2 + z^2/a^10 - (12*z^2)/a^8 + (31*z^2)/a^6 - (31*z^2)/a^4 + 
   (17*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (34*z^4)/a^4 + 
   (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7788] -> 
  -4 + 14*a^2 - 14*a^4 + 6*a^6 - a^8 - 8*z^2 + 31*a^2*z^2 - 31*a^4*z^2 + 
   9*a^6*z^2 + a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 30*a^4*z^4 - a^6*z^4 + 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 17*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 7789] -> 5 - 2/a^2 + a^2 - 8*a^4 + 7*a^6 - 2*a^8 + 
   9*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 + 7*z^4 - 
   z^4/a^2 - 15*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7790] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 
   39*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 27*a^2*z^2 - 5*a^4*z^2 - 37*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 + a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7791] -> 
  -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 27*z^2 + (5*z^2)/a^2 + 45*a^2*z^2 - 
   21*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 41*a^2*z^4 - 10*a^4*z^4 - 
   2*a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 7792] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 
   39*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 27*a^2*z^2 - 5*a^4*z^2 - 37*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 + a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 7793] -> 
  -4*a^4 + 10*a^6 - 8*a^10 + 3*a^12 - 12*a^4*z^2 + 25*a^6*z^2 + 18*a^8*z^2 - 
   28*a^10*z^2 + 6*a^12*z^2 - 13*a^4*z^4 + 26*a^6*z^4 + 39*a^8*z^4 - 
   32*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 33*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 7794] -> 
  -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 35*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 35*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 32*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 35*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7795] -> 
  -5 + 2/a^8 - 5/a^6 - 2/a^4 + 11/a^2 - 12*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (2*z^2)/a^4 + (26*z^2)/a^2 - 11*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (9*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7796] -> 
  -4 + 2/a^8 - 6/a^6 + a^(-4) + 8/a^2 - 9*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (10*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (16*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 7797] -> 
  -2 + 7*a^2 - 9*a^4 + 11*a^6 - 8*a^8 + 2*a^10 - 5*z^2 + 19*a^2*z^2 - 
   23*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   23*a^4*z^4 + 10*a^6*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 3*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 7798] -> -4 + 14*a^2 - 16*a^4 + 10*a^6 - 
   3*a^8 - 15*z^2 + (2*z^2)/a^2 + 37*a^2*z^2 - 34*a^4*z^2 + 17*a^6*z^2 - 
   3*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 38*a^2*z^4 - 30*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7799] -> 
  -4*a^4 + 10*a^6 - 8*a^10 + 3*a^12 - 2*a^2*z^2 - 5*a^4*z^2 + 21*a^6*z^2 + 
   10*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 21*a^6*z^4 + 
   18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 7800] -> -4 + 10*a^2 - 4*a^4 - 2*a^6 + a^8 - 8*z^2 + 
   23*a^2*z^2 - 8*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 
   11*a^4*z^4 - 11*a^6*z^4 + 6*a^8*z^4 - z^6 + 11*a^2*z^6 - 10*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 7801] -> 
  5 - 2/a^2 - 5*a^2 + 8*a^4 - 7*a^6 + 2*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   7*a^2*z^2 + 12*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 7802] -> -7 - 2/a^8 + 9/a^6 - 16/a^4 + 15/a^2 + 
   2*a^2 - 19*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + 
   (34*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (35*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7803] -> 
  5 - 2/a^8 + 7/a^6 - 7/a^4 - 3*a^2 + a^4 + 8*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 7804] -> 
  -4 + 10*a^2 - 4*a^4 - 2*a^6 + a^8 - z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 
   13*a^4*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 17*a^4*z^4 + 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 7805] -> 
  -7 - 2/a^8 + 9/a^6 - 16/a^4 + 15/a^2 + 2*a^2 - 26*z^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (32*z^2)/a^4 + (39*z^2)/a^2 + 7*a^2*z^2 - 32*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (39*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 7806] -> -3 + 4/a^6 - 16/a^4 + 18/a^2 - 
   2*a^2 + (8*z^2)/a^6 - (36*z^2)/a^4 + (41*z^2)/a^2 - 7*a^2*z^2 + 11*z^4 + 
   (5*z^4)/a^6 - (32*z^4)/a^4 + (40*z^4)/a^2 - 9*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (22*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 7807] -> 
  3 + 2/a^6 - 7/a^4 + 5/a^2 - a^2 - a^4 + 10*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 7808] -> -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 
   27*z^2 + (5*z^2)/a^2 + 45*a^2*z^2 - 21*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + 
   (4*z^4)/a^2 + 41*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   20*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7809] -> 
  -2*a^2 + 5*a^4 - 4*a^6 + 9*a^8 - 10*a^10 + 3*a^12 - 5*a^2*z^2 + 
   10*a^4*z^2 - a^6*z^2 + 19*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 
   8*a^4*z^4 + 7*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 7810] -> -11 + 2/a^6 - 9/a^4 + 14/a^2 + 
   8*a^2 - 3*a^4 - 29*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 31*z^4 + z^4/a^6 - (12*z^4)/a^4 + (31*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7811] -> 6/a^8 - 24/a^6 + 29/a^4 - 10/a^2 + 
   (17*z^2)/a^8 - (76*z^2)/a^6 + (101*z^2)/a^4 - (35*z^2)/a^2 + 
   (17*z^4)/a^8 - (94*z^4)/a^6 + (139*z^4)/a^4 - (43*z^4)/a^2 + (7*z^6)/a^8 - 
   (57*z^6)/a^6 + (102*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + 
   (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 7812] -> -3 + 4/a^8 - 14/a^6 + 12/a^4 + 
   2/a^2 - 12*z^2 + (8*z^2)/a^8 - (31*z^2)/a^6 + (24*z^2)/a^4 + 
   (17*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - (28*z^4)/a^6 + (23*z^4)/a^4 + 
   (28*z^4)/a^2 - 6*z^6 + z^6/a^8 - (12*z^6)/a^6 + (15*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 7813] -> -2 + 4/a^8 - 15/a^6 + 15/a^4 - 
   a^(-2) - 9*z^2 + (8*z^2)/a^8 - (33*z^2)/a^6 + (32*z^2)/a^4 + (8*z^2)/a^2 - 
   10*z^4 + (5*z^4)/a^8 - (29*z^4)/a^6 + (30*z^4)/a^4 + (18*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7814] -> -5 + 2/a^8 - 5/a^6 - 2/a^4 + 11/a^2 - 4*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (22*z^2)/a^2 - 3*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (7*z^4)/a^6 - z^4/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 7815] -> 
  -12 + 2/a^6 - 9/a^4 + 15/a^2 + 7*a^2 - 2*a^4 - 32*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (34*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (32*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7816] -> 
  -25 + 2/a^6 - 11/a^4 + 23/a^2 + 17*a^2 - 5*a^4 - 50*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (46*z^2)/a^2 + 31*a^2*z^2 - 7*a^4*z^2 - 42*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (38*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7817] -> 
  -2 + 7*a^2 - 9*a^4 + 11*a^6 - 8*a^8 + 2*a^10 - 5*z^2 + 19*a^2*z^2 - 
   23*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   23*a^4*z^4 + 10*a^6*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 3*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 7818] -> -4 + 2/a^8 - 6/a^6 + a^(-4) + 
   8/a^2 - 9*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + (10*z^2)/a^4 + (17*z^2)/a^2 - 
   8*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + (16*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 7819] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 
   15*z^2 + (2*z^2)/a^2 + 37*a^2*z^2 - 33*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 34*a^2*z^4 - 21*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 7820] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7821] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 + a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 7822] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7823] -> 2*a^2 - 5*a^4 + 10*a^6 - 11*a^8 + 8*a^10 - 
   3*a^12 + 5*a^2*z^2 - 14*a^4*z^2 + 27*a^6*z^2 - 26*a^8*z^2 + 18*a^10*z^2 - 
   4*a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 28*a^6*z^4 - 29*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 16*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 7824] -> -10 - a^(-4) + 5/a^2 + 13*a^2 - 8*a^4 + 
   2*a^6 - 28*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 30*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 31*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 30*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7825] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   4*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 7826] -> 4*a^6 - 7*a^8 + 9*a^10 - 6*a^12 + a^14 + 
   12*a^6*z^2 - 17*a^8*z^2 + 21*a^10*z^2 - 4*a^12*z^2 - 3*a^14*z^2 + 
   13*a^6*z^4 - 19*a^8*z^4 + 16*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 
   6*a^6*z^6 - 14*a^8*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 7827] -> 2*a^4 - 3*a^6 + 5*a^8 - 4*a^10 + 2*a^12 - 
   a^14 + 5*a^4*z^2 - 6*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 6*a^12*z^2 - 
   3*a^14*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 7*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 7828] -> 
  -6 + 2/a^2 + 12*a^2 - 12*a^4 + 6*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   27*a^2*z^2 - 29*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 12*z^4 + z^4/a^2 + 
   28*a^2*z^4 - 30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 7829] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + 
   a^6 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7830] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7831] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   16*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7832] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 
   9*a^4*z^2 + 13*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   17*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 7833] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + 
   a^4 - a^6 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7834] -> 
  1 + a^(-4) - a^(-2) - a^2 + 2*a^6 - a^8 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 7835] -> -7 - 3/a^8 + 9/a^6 - 11/a^4 + 
   10/a^2 + 3*a^2 - 20*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (29*z^2)/a^4 + 
   (27*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (31*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7836] -> 
  1 - a^(-8) + 2/a^6 - a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 7837] -> 
  5 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 10*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 10*z^4 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[15, Alternating, 7838] -> 
  1 - 2/a^12 + 6/a^10 - 9/a^8 + 8/a^6 - 3/a^4 + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (19*z^2)/a^8 + (17*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 7839] -> 2 - a^(-12) + 4/a^10 - 7/a^8 + 
   6/a^6 - a^(-4) - 2/a^2 + 2*z^2 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 7840] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 
   10*a^4*z^2 + 14*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 
   18*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 7841] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   4*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7842] -> 
  -8 + a^(-6) - 4/a^4 + 8/a^2 + 5*a^2 - a^4 - 26*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 30*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7843] -> 
  a^2 - 2*a^4 + 6*a^6 - 8*a^8 + 7*a^10 - 3*a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 
   23*a^6*z^2 - 24*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   16*a^4*z^4 + 27*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 16*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 7844] -> 
  -7 - a^(-4) + 4/a^2 + 9*a^2 - 5*a^4 + a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 26*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7845] -> 
  a^2 - a^4 + 3*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 7846] -> -6 - a^(-8) + 3/a^6 - 6/a^4 + 
   9/a^2 + 2*a^2 - 19*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + 
   (27*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7847] -> 
  3*a^2 - 6*a^4 + 9*a^6 - 7*a^8 + 2*a^10 - 2*z^2 + 11*a^2*z^2 - 23*a^4*z^2 + 
   28*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 15*a^2*z^4 - 30*a^4*z^4 + 
   30*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 7848] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 
   10*a^4*z^2 + 14*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 
   18*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 7849] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*z^2 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7850] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   8*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7851] -> 
  -8 + a^(-6) - 4/a^4 + 8/a^2 + 5*a^2 - a^4 - 18*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^6*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   (5*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 7852] -> 
  1 - 2*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 4*a^2*z^2 - 13*a^4*z^2 + 19*a^6*z^2 - 
   13*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 20*a^4*z^4 + 22*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 7853] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 27*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 32*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (24*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7854] -> 
  a^4 + a^8 - a^10 + a^12 - a^14 + 3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 
   3*a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - 2*a^8*z^4 + 
   5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 7855] -> 4*a^6 - 7*a^8 + 9*a^10 - 6*a^12 + a^14 + 
   a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 21*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 
   2*a^4*z^4 + 7*a^6*z^4 - 15*a^8*z^4 + 17*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 7856] -> -11 - 2/a^4 + 7/a^2 + 12*a^2 - 
   6*a^4 + a^6 - 29*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 29*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 32*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 
   29*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7857] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 
   z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7858] -> -6 - a^(-8) + 3/a^6 - 6/a^4 + 9/a^2 + 2*a^2 - 
   11*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 7*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 7859] -> 4*a^6 - 7*a^8 + 9*a^10 - 6*a^12 + a^14 + 
   a^4*z^2 + 10*a^6*z^2 - 16*a^8*z^2 + 22*a^10*z^2 - 6*a^12*z^2 - 
   2*a^14*z^2 + 2*a^4*z^4 + 8*a^6*z^4 - 16*a^8*z^4 + 17*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 11*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 7860] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   7*a^10*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - 3*a^8*z^4 + 6*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 7861] -> 
  -6 + 2/a^2 + 12*a^2 - 12*a^4 + 6*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   27*a^2*z^2 - 29*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 12*z^4 + z^4/a^2 + 
   28*a^2*z^4 - 30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 7862] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 
   4*z^2 + z^2/a^2 + 12*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7863] -> 
  -6 - 2/a^8 + 6/a^6 - 7/a^4 + 7/a^2 + 3*a^2 - 18*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (24*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7864] -> 
  -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 7865] -> 
  -6 + 3/a^2 + 7*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 17*z^2 + (4*z^2)/a^2 + 
   23*a^2*z^2 - 24*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 14*z^4 + z^4/a^2 + 
   28*a^2*z^4 - 28*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 16*a^2*z^6 - 
   16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 7866] -> -2 + a^(-4) + 3*a^2 - 3*a^4 + 
   3*a^6 - a^8 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7867] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 - a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 7868] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 - (3*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 7869] -> -3/a^12 + 7/a^10 - 6/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (11*z^2)/a^10 - (14*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - (17*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7870] -> -a^(-14) + 2/a^12 - 3/a^10 + 4/a^8 - 3/a^6 + 
   a^(-4) + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 7871] -> 
  -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 4*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 7872] -> -2 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^2 + a^2 - 
   5*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^2 + a^4*z^2 - 3*z^4 - 
   (5*z^4)/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 7873] -> -3/a^12 + 7/a^10 - 6/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (12*z^2)/a^10 - (13*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 - (13*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 7874] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7875] -> 
  2*a^2 - 5*a^4 + 11*a^6 - 12*a^8 + 7*a^10 - 2*a^12 + 5*a^2*z^2 - 
   15*a^4*z^2 + 29*a^6*z^2 - 27*a^8*z^2 + 15*a^10*z^2 - 3*a^12*z^2 + 
   4*a^2*z^4 - 18*a^4*z^4 + 30*a^6*z^4 - 28*a^8*z^4 + 12*a^10*z^4 - 
   a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 17*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 
   2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 7876] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - a^8 + 2*a^10 - 
   a^12 + 2*z^2 - 5*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 5*a^2*z^4 + 4*a^4*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 7877] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 
   12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7878] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 7879] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7880] -> -2 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 - a^2 + 
   a^4 - z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 7881] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 5*a^2*z^2 - 14*a^4*z^2 + 
   25*a^6*z^2 - 23*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   18*a^4*z^4 + 29*a^6*z^4 - 27*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 17*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 7882] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7883] -> 1 - a^2 + a^4 + 2*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 7884] -> 
  2*a^6 - a^8 + a^10 - a^14 + 9*a^6*z^2 - 6*a^8*z^2 + 9*a^10*z^2 + 
   3*a^12*z^2 - 4*a^14*z^2 + 12*a^6*z^4 - 13*a^8*z^4 + 10*a^10*z^4 + 
   11*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 13*a^8*z^6 - a^10*z^6 + 
   9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 7885] -> 
  3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + 
   8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 7886] -> a^4 - a^6 + 4*a^8 - 5*a^10 + 4*a^12 - 
   2*a^14 + 4*a^4*z^2 - 3*a^6*z^2 + 11*a^8*z^2 - 7*a^10*z^2 + 8*a^12*z^2 - 
   3*a^14*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + 7*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 7887] -> 
  a^4 + a^8 - a^10 + a^12 - a^14 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^6*z^4 + 
   a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 7888] -> 2*a^2 - 4*a^4 + 7*a^6 - 7*a^8 + 5*a^10 - 
   2*a^12 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 16*a^6*z^2 - 16*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 12*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 7889] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + z^2 + a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + a^4*z^4 - a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 7890] -> -4 + a^(-2) + 9*a^2 - 11*a^4 + 
   10*a^6 - 4*a^8 - 12*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 29*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 32*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7891] -> -2 + a^(-2) + 2*a^2 + a^4 - 3*a^6 + 4*a^8 - 
   2*a^10 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 + 4*a^2*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 7892] -> -4 + a^(-2) + 9*a^2 - 11*a^4 + 10*a^6 - 
   4*a^8 - 10*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 30*a^4*z^2 + 23*a^6*z^2 - 
   5*a^8*z^2 - 10*z^4 + z^4/a^2 + 25*a^2*z^4 - 33*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 7893] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7894] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - 
   7*a^4*z^2 + 16*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 7*a^4*z^4 + 12*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 7895] -> -4 + a^(-2) + 10*a^2 - 12*a^4 + 9*a^6 - 
   3*a^8 - 11*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 30*a^4*z^2 + 21*a^6*z^2 - 
   5*a^8*z^2 - 10*z^4 + z^4/a^2 + 26*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 7896] -> 1 - 2*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   2*z^2 - 2*a^2*z^2 - 4*a^4*z^2 + 13*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 11*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 7897] -> -7 - 3/a^8 + 9/a^6 - 11/a^4 + 10/a^2 + 
   3*a^2 - 20*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (29*z^2)/a^4 + 
   (27*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (31*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7898] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 + a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 7899] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + z^2/a^2 + 12*a^2*z^2 - 17*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 23*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7900] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   8*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7901] -> 
  1 - 2*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 4*a^2*z^2 - 13*a^4*z^2 + 19*a^6*z^2 - 
   13*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 20*a^4*z^4 + 22*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 7902] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7903] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7904] -> -4 + a^(-2) + 10*a^2 - 12*a^4 + 9*a^6 - 
   3*a^8 - 11*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 30*a^4*z^2 + 21*a^6*z^2 - 
   5*a^8*z^2 - 10*z^4 + z^4/a^2 + 26*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 7905] -> 1 - 2*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   2*z^2 - 2*a^2*z^2 - 4*a^4*z^2 + 13*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 11*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 7906] -> -11 - 2/a^4 + 7/a^2 + 12*a^2 - 6*a^4 + a^6 - 
   29*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 29*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 32*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 29*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 7907] -> 4*a^6 - 7*a^8 + 9*a^10 - 6*a^12 + a^14 + 
   a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 21*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 
   2*a^4*z^4 + 7*a^6*z^4 - 15*a^8*z^4 + 17*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 7908] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + a^8 + 
   2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   5*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 7909] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 18*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 7910] -> -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7911] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7912] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7913] -> 1 - 2*a^2 + 3*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 7914] -> 2*a^4 - 3*a^6 + 4*a^8 - a^10 - 
   a^12 + 5*a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 - 2*a^14*z^2 + 
   4*a^4*z^4 - 4*a^6*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 7915] -> a^2 - a^4 + a^6 + 2*a^8 - 3*a^10 + 2*a^12 - 
   a^14 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 + a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 7916] -> -10 - 2/a^4 + 7/a^2 + 11*a^2 - 7*a^4 + 
   2*a^6 - 25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 28*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 - 26*z^4 - z^4/a^4 + (11*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7917] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7918] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 7919] -> 
  -a^(-14) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (3*z^2)/a^14 + (7*z^2)/a^12 + 
   (6*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - z^4/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 7920] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + z^4/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 7921] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 7922] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 8*a^2*z^2 - 16*a^4*z^2 + 
   15*a^6*z^2 - 16*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 14*a^6*z^4 - 22*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 7923] -> 
  2 - 3*a^2 + 4*a^4 - 4*a^6 + 2*a^8 + a^10 - a^12 + 3*z^2 - 6*a^2*z^2 + 
   7*a^4*z^2 - 8*a^6*z^2 + a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   6*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 7924] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7925] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 7926] -> 
  1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + a^4 + 2*z^2 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + z^6 - (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[15, Alternating, 7927] -> 
  1 - 2/a^12 + 5/a^10 - 6/a^8 + 4/a^6 - a^(-2) + 3*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7928] -> 
  1 - a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-4) - a^(-2) + z^2 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 7929] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 2*a^2 + 2*a^4 - a^6 - 14*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 9*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 7930] -> -7 - a^(-4) + 5/a^2 + 4*a^2 + a^4 - a^6 - 
   19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 7931] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7932] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 12*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 7933] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 18*a^6*z^2 - 11*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 7934] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 7935] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 7936] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*z^2 - z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 7937] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7938] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7939] -> 
  3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + 
   15*a^10*z^2 - 3*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 
   11*a^8*z^4 + 14*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 7940] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 18*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 7941] -> 
  -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + a^4 - 4*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - a^4*z^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 7942] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (20*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7943] -> 
  -5 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + a^2 + a^4 - 13*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (21*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 7944] -> 1 - a^6 + a^8 + a^10 - a^12 + 2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 5*a^4*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 7945] -> -2/a^14 + 3/a^12 - 3/a^8 + 2/a^6 + a^(-4) - 
   (3*z^2)/a^14 + (10*z^2)/a^12 + z^2/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (2*z^4)/a^10 - (22*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7946] -> 1 + a^2 - 3*a^4 + 2*a^6 + a^8 - a^10 + 
   2*z^2 - 4*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 7947] -> 
  -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + a^4 - 2*z^2 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + 
   (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8, Knot[15, Alternating, 7948] -> -a^(-14) + 3/a^10 - 3/a^8 + 2/a^4 - 
   (3*z^2)/a^14 + (8*z^2)/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (3*z^4)/a^10 - (16*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 7949] -> -2/a^12 + 5/a^10 - 5/a^8 + 2/a^6 + a^(-2) + 
   2*z^2 - z^2/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7950] -> 
  -9 + 2/a^6 - 6/a^4 + 10/a^2 + 3*a^2 + 2*a^4 - a^6 - 20*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 16*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 7951] -> -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 6*z^2 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + 3*a^2*z^2 - a^6*z^2 - 3*z^4 + (5*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 7952] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 
   2/a^4 + 2*z^2 + (5*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^2 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 7953] -> 
  -a^(-14) + a^(-12) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (7*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 7954] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 2/a^2 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^8 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 7955] -> -10 + 2/a^6 - 7/a^4 + 11/a^2 + 
   7*a^2 - 2*a^4 - 26*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + (27*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (29*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 7956] -> -2 + 8*a^2 - 11*a^4 + 11*a^6 - 6*a^8 + a^10 - 
   5*z^2 + 20*a^2*z^2 - 28*a^4*z^2 + 27*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 
   4*z^4 + 20*a^2*z^4 - 31*a^4*z^4 + 27*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 10*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 7957] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 3*a^2 + 3*a^4 - a^6 + 2*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 7958] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7959] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 7960] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 12*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + 4*a^2*z^4 - 11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 7961] -> -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   11*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7962] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7963] -> 
  2*a^6 - a^8 + a^10 - a^14 + 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 10*a^8*z^4 + 
   13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 7964] -> 3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + a^2*z^2 + 
   a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 10*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - 4*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 7965] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 7966] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - z^2 + z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 7967] -> -3 + a^(-4) + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7968] -> 2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7969] -> -3/a^12 + 8/a^10 - 9/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^14 - z^2/a^12 + (15*z^2)/a^10 - (18*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 + (7*z^4)/a^10 - (16*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 7970] -> -2/a^12 + 6/a^10 - 8/a^8 + 6/a^6 - 
   3/a^4 + 2/a^2 + z^2 - z^2/a^12 + (10*z^2)/a^10 - (17*z^2)/a^8 + 
   (15*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7971] -> 3*a^2 - 4*a^4 + 3*a^6 - 3*a^8 + 4*a^10 - 
   2*a^12 + 2*z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 - 
   14*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 7972] -> 
  1 - a^6 + a^8 + a^10 - a^12 + z^2 + z^2/a^2 - a^2*z^2 - 3*a^6*z^2 + 
   4*a^10*z^2 - 2*z^4 - 4*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 7973] -> 
  -4 + 2/a^2 + 6*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 7974] -> a^(-4) - a^(-2) + 2*a^2 - 4*a^4 + 
   5*a^6 - 2*a^8 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7975] -> 2 - 2/a^8 + 6/a^6 - 7/a^4 + 3/a^2 - a^2 + 
   4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (20*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (22*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7976] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 
   2/a^4 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (16*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7977] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 - 
   z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7978] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 7979] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 
   2/a^4 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (16*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 7980] -> 
  -5 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 - a^2 + 2*a^4 - 5*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 7981] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 7982] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + a^(-6) + a^(-2) - z^2/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 7983] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 7984] -> 2*a^4 - 2*a^6 + a^8 + 3*a^10 - 4*a^12 + 
   a^14 + 5*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 - 
   a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 11*a^10*z^4 + 2*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 7985] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 
   a^8*z^2 + 3*a^10*z^2 - a^14*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 + 
   2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 7986] -> -7 - 2/a^8 + 6/a^6 - 10/a^4 + 12/a^2 + 
   2*a^2 - 19*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + 
   (29*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (26*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 7987] -> 
  4 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 7988] -> 
  -9 - a^(-4) + 5/a^2 + 10*a^2 - 5*a^4 + a^6 - 23*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 7989] -> 
  -4 + a^(-2) + 9*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 21*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 7990] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 7991] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 7992] -> 
  3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + 
   15*a^10*z^2 - 3*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 
   11*a^8*z^4 + 14*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 7993] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 7994] -> -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 
   8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 8*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 7995] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 
   2*a^6 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + 3*z^6 + 2*a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7996] -> 3 + a^(-4) - 2/a^2 - 2*a^2 - a^4 + 4*a^6 - 
   2*a^8 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 7997] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 
   6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (20*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 7998] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (9*z^2)/a^10 - (9*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 7999] -> 2 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*a^2 + 
   a^4 + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 8000] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8001] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 12*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8002] -> 2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 
   4*a^10 - a^12 + z^2 + 2*a^2*z^2 - 9*a^4*z^2 + 18*a^6*z^2 - 15*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 8003] -> 
  1 - 2*a^2 + 3*a^4 - a^6 + a^10 - a^12 + 2*z^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 8004] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8005] -> 
  a^4 + 2*a^10 - 2*a^12 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 8*a^10*z^2 - 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 
   6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 8006] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8007] -> -3 + a^(-2) + 7*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 
   12*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8008] -> 
  -3 + a^(-2) + 6*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 22*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8009] -> 1 - a^2 + 4*a^6 - 6*a^8 + 
   5*a^10 - 2*a^12 + 2*z^2 - 3*a^2*z^2 + 10*a^6*z^2 - 13*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 
   13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 8010] -> 1 - 2*a^2 + 3*a^4 - 3*a^8 + 
   4*a^10 - 2*a^12 + 2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 8011] -> 
  1 - a^(-12) + a^(-10) + a^(-8) - a^(-6) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 8012] -> 
  2 - 2*a^2 + a^4 + a^6 - 4*a^8 + 5*a^10 - 2*a^12 + 3*z^2 - 5*a^2*z^2 + 
   6*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 - 
   2*a^4*z^4 + 7*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8013] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - a^8 + 
   2*a^10 - a^12 - 2*z^2 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   4*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - a^2*z^4 - a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 8014] -> 
  -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (9*z^2)/a^10 - 
   (9*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 8015] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 16*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8016] -> 
  1 + 2/a^6 - 4/a^4 + 3/a^2 - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8017] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8018] -> -3 + a^(-2) + 7*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 
   12*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8019] -> 
  -4 - 2/a^8 + 5/a^6 - 7/a^4 + 8/a^2 + a^2 - 13*z^2 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (20*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8020] -> 
  a^4 + 2*a^10 - 2*a^12 + 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 12*a^10*z^2 - 
   4*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 14*a^10*z^4 + 
   a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 8021] -> -6 - a^(-4) + 4/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 25*a^2*z^2 - 20*a^4*z^2 + 
   6*a^6*z^2 - 24*z^4 - z^4/a^4 + (9*z^4)/a^2 + 31*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8022] -> 
  -8 + a^(-6) - 4/a^4 + 8/a^2 + 5*a^2 - a^4 - 23*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (21*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8023] -> 
  -7 - 2/a^8 + 6/a^6 - 10/a^4 + 12/a^2 + 2*a^2 - 19*z^2 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (24*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (26*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8024] -> 
  1 - a^2 + 4*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 2*z^2 - 3*a^2*z^2 + 
   10*a^6*z^2 - 13*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 8025] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + 2*a^4 - a^6 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8026] -> -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8027] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 10*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 + 4*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8028] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 - a^8 + 4*a^10 - 
   2*a^12 + 3*z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 5*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   8*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 8029] -> 
  -1 + a^(-2) + a^2 + a^4 - 3*a^6 + 2*a^8 + a^10 - a^12 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 - 
   4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 8030] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8031] -> -a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   a^2 + a^4 + 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 8032] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8033] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8034] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 6*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 8035] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8036] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8037] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8038] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8039] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 19*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8040] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8041] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8042] -> 
  a^4 + 2*a^10 - 2*a^12 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 8*a^10*z^2 - 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 
   6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 8043] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8044] -> 
  2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + (3*z^2)/a^10 - (12*z^2)/a^8 + 
   (19*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (22*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 8045] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8046] -> -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + a^8 - 
   18*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 8047] -> 2*a^2 - a^4 - a^6 + 3*a^10 - 2*a^12 + 
   7*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 7*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 
   5*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 - 19*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 8048] -> 
  3*a^2 - 4*a^4 + 2*a^6 + a^10 - a^12 + 2*z^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 6*a^4*z^4 - 
   3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 8049] -> -4/a^14 + 9/a^12 - 7/a^10 + 
   3/a^6 - (10*z^2)/a^14 + (36*z^2)/a^12 - (32*z^2)/a^10 + (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (6*z^4)/a^14 + (44*z^4)/a^12 - (52*z^4)/a^10 - 
   (2*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^14 + (20*z^6)/a^12 - (41*z^6)/a^10 - 
   (10*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 8050] -> 
  -3/a^14 + 6/a^12 - 4/a^10 + a^(-6) + a^(-4) - (4*z^2)/a^14 + 
   (16*z^2)/a^12 - (8*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (10*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8051] -> -3/a^14 + 6/a^12 - 3/a^10 - 3/a^8 + 4/a^6 - 
   (4*z^2)/a^14 + (15*z^2)/a^12 - (5*z^2)/a^10 - (11*z^2)/a^8 + 
   (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (8*z^4)/a^10 - 
   (19*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 8052] -> -2/a^14 + 3/a^12 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (10*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 8053] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 - 12*z^2 + (3*z^2)/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 11*z^4 + 
   z^4/a^2 + 17*a^2*z^4 - 9*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   9*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 8054] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 4*z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8055] -> -2/a^14 + 3/a^12 - a^(-10) - 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (9*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8056] -> 
  -a^(-14) + 3/a^10 - 3/a^8 + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 8057] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8058] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + 
   a^2 - (4*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + (5*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 8059] -> 
  -2/a^14 + 4/a^12 - 4/a^10 + 3/a^8 - a^(-6) + a^(-2) - z^2/a^14 + 
   (8*z^2)/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 8060] -> -a^(-14) + a^(-12) + a^(-2) + 
   z^2 + (3*z^2)/a^12 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^2 - (2*z^4)/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 8061] -> -8 + a^(-6) - 4/a^4 + 8/a^2 + 5*a^2 - a^4 - 
   24*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (24*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (29*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8062] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 8063] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 6*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 8064] -> 
  2 - 3*a^2 + 2*a^4 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 3*z^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 - 12*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 
   6*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8065] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 3*a^2*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8066] -> -7 - 2/a^4 + 6/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   23*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 28*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 27*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8067] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 8068] -> -7 + a^(-6) - 4/a^4 + 7/a^2 + 6*a^2 - 2*a^4 - 
   24*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (23*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 28*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (28*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8069] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 25*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   30*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   18*z^6 - z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8070] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^4 - a^6 - 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8071] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 5*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 4*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 8072] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 9*z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8073] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8074] -> 
  -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8075] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 18*a^6*z^2 - 11*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8076] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8077] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8078] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8079] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8080] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8081] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - 
   a^4 - 21*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8082] -> 
  2*a^2 - a^4 - a^6 + 3*a^10 - 2*a^12 + 2*z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 5*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8083] -> 3*a^2 - 4*a^4 + 2*a^6 + a^10 - a^12 + z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - 
   2*z^4 - 3*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 8084] -> 
  -4 + 2/a^2 + 5*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + z^2/a^4 + 9*a^2*z^2 - 
   11*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 2*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8085] -> 
  -2/a^14 + 3/a^12 + a^(-10) - 6/a^8 + 5/a^6 - (3*z^2)/a^14 + (9*z^2)/a^12 + 
   (4*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (25*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 8086] -> -a^(-14) + 4/a^10 - 6/a^8 + 
   3/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (12*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 8087] -> 
  -2/a^14 + 3/a^12 - 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + (10*z^2)/a^12 + 
   z^2/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (2*z^4)/a^10 - (22*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8088] -> 
  -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 2*a^4 - 4*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8089] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + a^6 + 2*a^8 - 
   a^10 - 7*z^2 + z^2/a^4 + 11*a^2*z^2 - 9*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 
   3*z^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 2*z^6 + 
   5*a^2*z^6 + 2*a^4*z^6, Knot[15, Alternating, 8090] -> 
  3 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 3/a^2 + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8091] -> 
  -10 + a^(-6) - 4/a^4 + 9/a^2 + 5*a^2 + a^4 - a^6 - 22*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 18*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 8092] -> -3/a^12 + 7/a^10 - 6/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (12*z^2)/a^10 - (12*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (4*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 8093] -> -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + 
   a^8 - 13*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^6*z^2 - 
   8*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6, Knot[15, Alternating, 8094] -> 
  -1 + 2/a^6 - 4/a^4 + 4/a^2 - a^2 + a^6 - z^2/a^8 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 8095] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8096] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   2*z^2 - z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8097] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 6*a^4 + 
   4*a^6 - a^8 - 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 8098] -> 1 - 2*a^4 + 5*a^6 - 5*a^8 + 
   3*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 8099] -> 1 - a^2 + 2*a^4 - a^6 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 8100] -> 1 - a^2 + a^4 + a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 + a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 8101] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 15*z^2 + (4*z^2)/a^2 + 
   22*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8102] -> -1 + 6*a^2 - 9*a^4 + 9*a^6 - 
   5*a^8 + a^10 - 3*z^2 + 14*a^2*z^2 - 22*a^4*z^2 + 21*a^6*z^2 - 10*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 24*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8103] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8104] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8105] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8106] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8107] -> -4 + 2/a^2 + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   7*z^2 + z^2/a^4 + 11*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 2*z^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - a^8*z^4 + 3*z^6 + 
   3*a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8108] -> 
  3*a^2 - 4*a^4 + 3*a^6 - 3*a^8 + 4*a^10 - 2*a^12 + 2*z^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8109] -> -2 + a^(-2) + 5*a^2 - 9*a^4 + 10*a^6 - 
   4*a^8 - 9*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 29*a^4*z^2 + 24*a^6*z^2 - 
   5*a^8*z^2 - 11*z^4 + z^4/a^2 + 22*a^2*z^4 - 34*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8110] -> -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 
   z^2/a^4 - z^2/a^2 - 6*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8111] -> 
  -a^(-14) + 5/a^10 - 9/a^8 + 6/a^6 - (3*z^2)/a^14 + (6*z^2)/a^12 + 
   (9*z^2)/a^10 - (22*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 + (3*z^4)/a^10 - (27*z^4)/a^8 + (12*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (18*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8112] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 8113] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - z^2 + z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 8114] -> 1 - a^6 + a^8 + a^10 - a^12 + z^2 + z^2/a^2 - 
   a^2*z^2 - 3*a^6*z^2 + 4*a^10*z^2 - 2*z^4 - 4*a^2*z^4 - a^4*z^4 - 
   4*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 8115] -> -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   4*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 8116] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8117] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 - a^2 + 
   2*a^4 - 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8118] -> 
  2*a^4 - 2*a^6 + a^8 + 3*a^10 - 4*a^12 + a^14 + a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + 10*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 - 3*a^8*z^4 + 7*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   4*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 8119] -> 
  a^4 + 2*a^6 - 6*a^8 + 10*a^10 - 8*a^12 + 2*a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 
   14*a^8*z^2 + 24*a^10*z^2 - 11*a^12*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 
   15*a^8*z^4 + 20*a^10*z^4 - a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   10*a^8*z^6 + 4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 8120] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8121] -> 
  -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 30*z^2 - (6*z^2)/a^4 + 
   (22*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 32*z^4 - (4*z^4)/a^4 + 
   (22*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8122] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - a^8*z^4 + 3*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8123] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 8124] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 8125] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8126] -> 
  -4 - 2/a^8 + 6/a^6 - 9/a^4 + 9/a^2 + a^2 - 11*z^2 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8127] -> 
  4 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8128] -> 
  -7 + a^(-6) - 4/a^4 + 7/a^2 + 6*a^2 - 2*a^4 - 23*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8129] -> 
  -9 - 2/a^4 + 7/a^2 + 8*a^2 - 4*a^4 + a^6 - 22*z^2 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 8130] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 13*a^4*z^4 + 13*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8131] -> -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 
   15*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8132] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 19*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8133] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + 
   a^2 - 8*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (18*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8134] -> -10 - 2/a^4 + 7/a^2 + 11*a^2 - 7*a^4 + 
   2*a^6 - 25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 28*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 - 26*z^4 - z^4/a^4 + (11*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8135] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8136] -> -8 + a^(-6) - 4/a^4 + 8/a^2 + 5*a^2 - a^4 - 
   23*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 25*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8137] -> 
  -6 - a^(-4) + 4/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 20*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 25*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 31*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8138] -> -4 - 2/a^8 + 5/a^6 - 7/a^4 + 
   8/a^2 + a^2 - 13*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + 
   (23*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (23*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8139] -> 
  a^4 + 2*a^10 - 2*a^12 + 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 12*a^10*z^2 - 
   4*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 14*a^10*z^4 + 
   a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 8140] -> 2*a^4 - 3*a^6 + 4*a^8 - a^10 - a^12 + 
   5*a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 
   4*a^6*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 8141] -> 1 + a^2 - 3*a^4 + 4*a^6 - 5*a^8 + 5*a^10 - 
   2*a^12 + 3*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 - 5*a^4*z^4 + 9*a^6*z^4 - 
   17*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 7*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 8142] -> 
  2 - 2*a^2 + a^4 - a^8 + 2*a^10 - a^12 + z^2 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 4*a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 8143] -> -3/a^12 + 7/a^10 - 7/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 - (4*z^2)/a^12 + (20*z^2)/a^10 - (24*z^2)/a^8 + (19*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^12 + (15*z^4)/a^10 - (31*z^4)/a^8 + 
   (21*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (17*z^6)/a^8 + 
   (14*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 8144] -> 
  1 - 2/a^12 + 4/a^10 - 3/a^8 + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8145] -> 2 - a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   3/a^4 - 3/a^2 + 3*z^2 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 8146] -> 
  -1 - a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - a^(-4) + a^(-2) + a^2 - 2*z^2 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[15, Alternating, 8147] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8148] -> 
  -1 + a^(-10) - 5/a^8 + 10/a^6 - 11/a^4 + 7/a^2 - 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (26*z^2)/a^4 + (14*z^2)/a^2 - (4*z^4)/a^8 + 
   (17*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8149] -> -a^(-14) + 5/a^10 - 9/a^8 + 6/a^6 - 
   (3*z^2)/a^14 + (6*z^2)/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (16*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 + (3*z^4)/a^10 - (27*z^4)/a^8 + 
   (12*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (18*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8150] -> -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 
   2/a^4 - z^2/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^4 + (3*z^4)/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 8151] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   6/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + 
   (18*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8152] -> 2 - 3*a^2 + a^4 + 5*a^6 - 8*a^8 + 6*a^10 - 
   2*a^12 + 3*z^2 - 6*a^2*z^2 + a^4*z^2 + 11*a^6*z^2 - 16*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 8153] -> 
  -2 + 9*a^2 - 14*a^4 + 15*a^6 - 9*a^8 + 2*a^10 - 5*z^2 + 22*a^2*z^2 - 
   35*a^4*z^2 + 35*a^6*z^2 - 17*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 21*a^2*z^4 - 
   36*a^4*z^4 + 32*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 
   19*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 8154] -> -4 + a^(-2) + 10*a^2 - 12*a^4 + 
   9*a^6 - 3*a^8 - 13*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 26*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 25*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8155] -> -3 + a^(-2) + 6*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 
   11*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 22*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8156] -> 
  -2 - 2/a^8 + 6/a^6 - 7/a^4 + 5/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8157] -> 
  2 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8158] -> 
  -3/a^12 + 8/a^10 - 9/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + z^2/a^12 + 
   (15*z^2)/a^10 - (22*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (7*z^4)/a^10 - (25*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8159] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + 6*a^2*z^2 - 
   14*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 3*a^4*z^6 + 
   3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8160] -> 1 - 2*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8161] -> -2/a^14 + 3/a^12 + a^(-10) - 6/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (9*z^2)/a^12 + (4*z^2)/a^10 - (18*z^2)/a^8 + (14*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (25*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8162] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + 2*a^8 - a^10 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 8163] -> 
  1 - 2/a^12 + 5/a^10 - 6/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (18*z^2)/a^8 + (18*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (18*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8164] -> 
  2 + a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 4/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (21*z^2)/a^6 - (24*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (24*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8165] -> -a^(-14) + 4/a^10 - 6/a^8 + 
   3/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (12*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 8166] -> 
  2 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*a^2 + a^4 + 2*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8167] -> 2 - 2/a^12 + 6/a^10 - 9/a^8 + 9/a^6 - 4/a^4 - 
   a^(-2) + 3*z^2 - z^2/a^12 + (11*z^2)/a^10 - (20*z^2)/a^8 + (19*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (15*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8168] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 3/a^4 - 
   2/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 8169] -> -3/a^12 + 7/a^10 - 6/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (12*z^2)/a^10 - (12*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (4*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 8170] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 
   3*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8171] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8172] -> -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8173] -> -9 - 2/a^4 + 7/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   22*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8174] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 8175] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 15*z^2 + (4*z^2)/a^2 + 
   23*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8176] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 13*a^4*z^4 + 13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8177] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + 2*a^4 - a^6 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8178] -> -7 - a^(-4) + 5/a^2 + 4*a^2 + a^4 - a^6 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   23*z^4 - z^4/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8179] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 8180] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 8181] -> 1 - a^2 + 3*a^4 - 4*a^6 + a^8 + 3*a^10 - 
   2*a^12 + 3*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 - 5*a^6*z^4 - 8*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 8182] -> 1 - a^6 + a^8 + a^10 - a^12 + 
   z^2 + z^2/a^2 - a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 8183] -> 
  a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + a^6 + 2*a^8 - a^10 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 8184] -> 2 - a^(-12) + 3/a^10 - 5/a^8 + 
   6/a^6 - 3/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8185] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8186] -> -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - a^(-2) + 
   a^2 - 2*z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 8187] -> -1 + a^(-2) + a^2 - a^4 + 3*a^6 - 4*a^8 + 
   3*a^10 - a^12 - 2*z^2 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   6*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - a^2*z^4 - a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 8188] -> 
  3 - a^(-2) - 2*a^2 + 4*a^6 - 4*a^8 + a^10 + 6*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*z^4 - 
   z^4/a^2 - a^2*z^4 - 9*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8189] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 + 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8190] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8191] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 
   17*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 23*a^4*z^4 + 
   20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8192] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   7*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 
   5*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8193] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 8194] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8195] -> 
  -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8196] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 
   5/a^4 + (3*z^2)/a^10 - (12*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (22*z^4)/a^6 - 
   (18*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 8197] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + 
   a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8198] -> 
  2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8199] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8200] -> -5 + 2/a^2 + 7*a^2 - 6*a^4 + 
   5*a^6 - 2*a^8 - 16*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 22*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - 28*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8201] -> -4 + 2/a^2 + 4*a^2 - a^4 - a^6 + 2*a^8 - 
   a^10 - 8*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 - 
   a^10*z^2 - 7*z^4 + z^4/a^2 + 4*a^2*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 8202] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8203] -> 
  -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 21*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 24*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8204] -> -8 - a^(-4) + 5/a^2 + 9*a^2 - 
   6*a^4 + 2*a^6 - 22*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 21*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8205] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 18*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8206] -> 
  -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + a^4 - 4*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - a^4*z^2 - z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 8207] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + 6*a^2*z^2 - 
   14*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 3*a^4*z^6 + 
   3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8208] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   9*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8209] -> 
  1 - a^2 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 
   a^4*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 8210] -> 
  -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 24*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   20*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8211] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8212] -> 
  -2 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 - a^2 + a^4 - 5*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8213] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8214] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8215] -> a^4 + a^6 - 3*a^8 + 6*a^10 - 5*a^12 + a^14 + 
   3*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 16*a^10*z^2 - 6*a^12*z^2 - a^14*z^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - 10*a^8*z^4 + 15*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 8216] -> 
  -4 + a^(-2) + 10*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   25*a^2*z^2 - 26*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8217] -> -2 + a^(-2) + 5*a^2 - 9*a^4 + 
   10*a^6 - 4*a^8 - 9*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 29*a^4*z^2 + 
   24*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 22*a^2*z^4 - 34*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8218] -> -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 
   z^2/a^4 - z^2/a^2 - 6*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8219] -> 
  -7 + 2/a^2 + 13*a^2 - 14*a^4 + 11*a^6 - 4*a^8 - 19*z^2 + (5*z^2)/a^2 + 
   33*a^2*z^2 - 34*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   33*a^2*z^4 - 34*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8220] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   2*a^6 + 4*a^8 - 2*a^10 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 7*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 8221] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8222] -> -9 - a^(-4) + 5/a^2 + 12*a^2 - 9*a^4 + 
   3*a^6 - 24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 29*a^2*z^2 - 22*a^4*z^2 + 
   6*a^6*z^2 - 25*z^4 - z^4/a^4 + (9*z^4)/a^2 + 32*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8223] -> 
  -6 + 2/a^2 + 10*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 15*z^2 + (4*z^2)/a^2 + 
   24*a^2*z^2 - 24*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8224] -> -7 - 2/a^8 + 6/a^6 - 10/a^4 + 
   12/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + 
   (27*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (24*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8225] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8226] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 
   z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8227] -> 
  a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + a^6 + 2*a^8 - a^10 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 2*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 8228] -> 2 - 2/a^12 + 7/a^10 - 12/a^8 + 13/a^6 - 
   7/a^4 + 3*z^2 - z^2/a^12 + (12*z^2)/a^10 - (26*z^2)/a^8 + (29*z^2)/a^6 - 
   (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (25*z^4)/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8229] -> -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - a^(-2) + 
   a^2 - z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 8230] -> 
  -4 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + a^4 - 6*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8231] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - a^8*z^4 + 3*z^6 + 
   2*a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8232] -> 
  1 - 2/a^12 + 6/a^10 - 9/a^8 + 10/a^6 - 7/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (21*z^2)/a^8 + (24*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8233] -> 
  2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8234] -> 
  -3/a^12 + 8/a^10 - 9/a^8 + 4/a^6 + a^(-4) - z^2/a^14 - z^2/a^12 + 
   (15*z^2)/a^10 - (18*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 + 
   (7*z^4)/a^10 - (16*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 8235] -> -4 + 2/a^2 + 5*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 
   6*z^2 + z^2/a^4 + 9*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8236] -> -2/a^12 + 6/a^10 - 8/a^8 + 6/a^6 - 3/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (10*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (12*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8237] -> 3 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 
   3/a^2 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8238] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8239] -> -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 3/a^4 + 
   a^2 - z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^2 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 8240] -> 
  -10 + a^(-6) - 4/a^4 + 9/a^2 + 5*a^2 + a^4 - a^6 - 22*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 18*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 8241] -> -2 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 - a^2 + 
   a^4 - 2*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (23*z^2)/a^4 + (16*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8242] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8243] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8244] -> 5 + a^(-4) - 3/a^2 - 4*a^2 + a^4 + 3*a^6 - 
   2*a^8 + 10*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 8245] -> 2 + a^(-4) - 2/a^2 - a^4 + a^6 + 
   a^8 - a^10 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   3*a^8*z^2 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 8246] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + a^6*z^2 + 4*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 3*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8247] -> -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 
   5/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + 
   (9*z^2)/a^2 - (4*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8248] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8249] -> 
  -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 21*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 24*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8250] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 - 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8251] -> 
  -4 - 2/a^8 + 6/a^6 - 9/a^4 + 9/a^2 + a^2 - 11*z^2 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8252] -> 
  4 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8253] -> 
  -2 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 - a^2 + a^4 - 5*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8254] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8255] -> 
  -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 24*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   20*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8256] -> -9 - a^(-4) + 5/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8257] -> 
  -4 + a^(-2) + 9*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 21*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8258] -> 2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 
   4*a^10 - a^12 + z^2 + 2*a^2*z^2 - 9*a^4*z^2 + 18*a^6*z^2 - 15*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 8259] -> 
  -4 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + a^4 - 11*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (20*z^2)/a^4 + (21*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 9*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 8260] -> 1 - a^6 + a^8 + a^10 - a^12 + 2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 5*a^4*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8261] -> -4 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + a^4 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8262] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 3/a^4 + a^2 - z^2 + (5*z^2)/a^10 - 
   (13*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (8*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^2 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 8263] -> 
  -2 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (23*z^2)/a^4 + (16*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8264] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 
   2/a^4 + 2*z^2 + (5*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^2 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 8265] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 8266] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8267] -> -11 + 2/a^6 - 7/a^4 + 12/a^2 + 
   6*a^2 - a^4 - 27*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (29*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (31*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8268] -> -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 
   30*z^2 - (6*z^2)/a^4 + (22*z^2)/a^2 + 26*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   32*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8269] -> 
  -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 9*z^2 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8270] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8271] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - 2*a^6 + 
   2*a^8 - a^10 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 7*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 
   6*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 8272] -> 2 + a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 2/a^2 - 
   a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8273] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 14*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8274] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - 
   a^6 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8275] -> 
  -9 + a^(-6) - 5/a^4 + 10/a^2 + 5*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8276] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 9*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (17*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8277] -> 
  -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 22*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 8278] -> 
  -7 - a^(-4) + 5/a^2 + 4*a^2 + a^4 - a^6 - 20*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8279] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   7*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8280] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8281] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8282] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 2*a^2 + 2*a^4 - 
   a^6 + 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8283] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 5*a^4 + 
   5*a^6 - 2*a^8 - z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 8284] -> 
  a^(-4) - a^(-2) + a^2 - a^6 + 2*a^8 - a^10 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 8285] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8286] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8287] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 + 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8288] -> -9 + a^(-6) - 5/a^4 + 10/a^2 + 5*a^2 - a^4 - 
   22*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8289] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + z^2 - z^2/a^2 + 5*a^2*z^2 - 
   12*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8290] -> 4*a^2 - 7*a^4 + 7*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 8*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 16*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 14*a^6*z^4 - 22*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 8291] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8292] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 8293] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + 
   a^4 - a^6 - 13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8294] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8295] -> -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8296] -> 
  -6 + 2/a^2 + 10*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   24*a^2*z^2 - 28*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   25*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 8297] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 - 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8298] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8299] -> -10 - 2/a^8 + 7/a^6 - 13/a^4 + 16/a^2 + 
   3*a^2 - 24*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (31*z^2)/a^4 + 
   (37*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (31*z^4)/a^4 + (36*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8300] -> 
  1 - a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 8301] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8302] -> 
  1 - 3*a^4 + 8*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 - 7*a^4*z^2 + 
   18*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   7*a^4*z^4 + 13*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8303] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8304] -> 
  -7 - 2/a^8 + 6/a^6 - 10/a^4 + 12/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (24*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (24*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8305] -> 
  -9 - a^(-4) + 5/a^2 + 12*a^2 - 9*a^4 + 3*a^6 - 24*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 29*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 25*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 32*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8306] -> -6 + 2/a^2 + 10*a^2 - 10*a^4 + 
   8*a^6 - 3*a^8 - 15*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 24*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 25*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8307] -> 2 - 2*a^2 + a^4 + a^6 - 4*a^8 + 5*a^10 - 
   2*a^12 + 3*z^2 - 5*a^2*z^2 + 6*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + z^4 - 6*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - 15*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 8308] -> -4 - a^(-8) + 5/a^6 - 9/a^4 + 
   9/a^2 + a^4 - 11*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + 
   (21*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 9*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (22*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (3*z^8)/a^2, Knot[15, Alternating, 8309] -> 
  -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 21*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (18*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8310] -> 
  1 - a^2 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 
   a^4*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 8311] -> 
  -13 - 2/a^4 + 8/a^2 + 15*a^2 - 10*a^4 + 3*a^6 - 32*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 36*a^2*z^2 - 24*a^4*z^2 + 6*a^6*z^2 - 31*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 36*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8312] -> 
  1 - 3*a^4 + 8*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 - 7*a^4*z^2 + 
   18*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   7*a^4*z^4 + 13*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 8313] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 5*a^4 + 
   2*a^6 - z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 8314] -> a^4 + a^6 - 3*a^8 + 6*a^10 - 
   5*a^12 + a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 16*a^10*z^2 - 
   6*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 10*a^8*z^4 + 15*a^10*z^4 + 
   a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 8315] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8316] -> 
  -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 8*z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 8317] -> 2 - 2/a^12 + 7/a^10 - 12/a^8 + 13/a^6 - 
   7/a^4 + 3*z^2 - z^2/a^12 + (12*z^2)/a^10 - (26*z^2)/a^8 + (29*z^2)/a^6 - 
   (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (22*z^4)/a^8 + 
   (25*z^4)/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8318] -> 1 - 2/a^12 + 6/a^10 - 9/a^8 + 10/a^6 - 
   7/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (21*z^2)/a^8 + 
   (24*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (22*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8319] -> 1 + a^2 - 3*a^4 + 4*a^6 - 5*a^8 + 5*a^10 - 
   2*a^12 + 2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 8320] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   3/a^6 - a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 8321] -> -4 + 2/a^2 + 6*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 
   12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 
   11*z^4 + z^4/a^2 + 24*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8322] -> 
  -3 + a^(-4) + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8323] -> 
  a^(-4) - a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8324] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 15*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8325] -> 
  -9 - a^(-8) + 5/a^6 - 11/a^4 + 14/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (27*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8326] -> 
  -6 + 2/a^2 + 10*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   24*a^2*z^2 - 28*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   25*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 8327] -> -6 + 2/a^2 + 10*a^2 - 8*a^4 + 
   4*a^6 - a^8 - 15*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 19*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8328] -> -1 + 6*a^2 - 9*a^4 + 9*a^6 - 5*a^8 + a^10 - 
   3*z^2 + 14*a^2*z^2 - 22*a^4*z^2 + 21*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 14*a^2*z^4 - 24*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8329] -> 
  -7 + a^(-6) - 4/a^4 + 7/a^2 + 6*a^2 - 2*a^4 - 23*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8330] -> 
  2 - a^(-12) + 5/a^10 - 11/a^8 + 14/a^6 - 9/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + (31*z^2)/a^6 - (18*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (27*z^4)/a^6 - 
   (12*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8331] -> 
  -5 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + a^2 + a^4 - 13*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (21*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 8332] -> 1 - 2/a^12 + 5/a^10 - 6/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + (18*z^2)/a^6 - 
   (11*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + 
   (18*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8333] -> 1 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 + 
   a^(-4) - 3/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 8334] -> -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + a^4 - 
   2*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 3*z^4 + (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[15, Alternating, 8335] -> 
  5 + a^(-4) - 3/a^2 - 4*a^2 + a^4 + 3*a^6 - 2*a^8 + 9*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8336] -> 6 + a^(-4) - 3/a^2 - 7*a^2 + 6*a^4 - 3*a^6 + 
   2*a^8 - a^10 + 10*z^2 + z^2/a^4 - (5*z^2)/a^2 - 12*a^2*z^2 + 9*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 
   6*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 8337] -> -2 + 2/a^10 - 9/a^8 + 15/a^6 - 14/a^4 + 
   9/a^2 - 5*z^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (36*z^2)/a^6 - 
   (34*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + z^4/a^10 - (13*z^4)/a^8 + 
   (34*z^4)/a^6 - (34*z^4)/a^4 + (20*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (16*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 8338] -> 
  a^4 + 2*a^6 - 6*a^8 + 10*a^10 - 8*a^12 + 2*a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 
   14*a^8*z^2 + 24*a^10*z^2 - 11*a^12*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 
   15*a^8*z^4 + 20*a^10*z^4 - a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   10*a^8*z^6 + 4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 8339] -> 3 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 - 
   a^(-2) - a^2 + 6*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8340] -> 
  -13 + a^(-6) - 6/a^4 + 13/a^2 + 8*a^2 - 2*a^4 - 30*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (29*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 28*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8341] -> 
  2 + a^(-4) - 2/a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8342] -> 
  -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8343] -> -9 - a^(-8) + 5/a^6 - 11/a^4 + 
   14/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + 
   (31*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8344] -> 
  -2 - 2/a^8 + 6/a^6 - 7/a^4 + 5/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8345] -> 
  2 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8346] -> 
  1 - 2*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 8347] -> 
  1 - 2*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   10*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   3*a^4*z^4 + 8*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 8348] -> 
  -5 + 2/a^2 + 7*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 8349] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   5*a^4 + 5*a^6 - 2*a^8 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8350] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   13*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   14*a^2*z^4 - 23*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8351] -> 
  -13 + a^(-6) - 6/a^4 + 13/a^2 + 8*a^2 - 2*a^4 - 30*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (29*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 28*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8352] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8353] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8354] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 - a^8 + 
   4*a^10 - 2*a^12 + 3*z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 5*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   8*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 8355] -> 
  -7 - a^(-4) + 5/a^2 + 4*a^2 + a^4 - a^6 - 19*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8356] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 
   5/a^4 + z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (18*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8357] -> 2 + a^(-4) - 2/a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8358] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 11*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8359] -> -7 + 2/a^2 + 13*a^2 - 14*a^4 + 
   11*a^6 - 4*a^8 - 19*z^2 + (5*z^2)/a^2 + 33*a^2*z^2 - 34*a^4*z^2 + 
   22*a^6*z^2 - 4*a^8*z^2 - 20*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 34*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 18*a^2*z^6 - 16*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8360] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 2*a^6 + 4*a^8 - 
   2*a^10 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 7*z^4 + z^4/a^2 + 5*a^2*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 8361] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 11*a^6*z^4 + 
   6*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 8362] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   z^2 - 3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 8363] -> 2 - a^2 - 3*a^4 + 7*a^6 - 6*a^8 + 2*a^10 + 
   z^2 + 2*a^2*z^2 - 15*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 7*a^2*z^4 - 21*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8364] -> 
  a^(-2) - a^2 + a^4 + a^6 - 2*a^8 + a^10 + z^2 - 5*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8365] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 4*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + z^4 + a^2*z^4 - 10*a^4*z^4 + 
   12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8366] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 8367] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 
   3*a^4 + a^6 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8368] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8369] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 2*a^4 - 
   16*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8370] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 
   2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 8371] -> -6 - a^(-6) + a^(-4) + 3/a^2 + 6*a^2 - 
   2*a^4 - 19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8372] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 8373] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8374] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8375] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8376] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 
   2*a^4 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8377] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8378] -> 2 - a^(-2) + a^6 - a^8 + 2*z^2 - z^2/a^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8379] -> 
  -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 22*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8380] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 4*a^4 - 
   3*a^6 + a^8 - z^2/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 8381] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 
   5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8382] -> 
  -9 + a^(-6) - 4/a^4 + 8/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8383] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8384] -> 
  -10 - 3/a^4 + 8/a^2 + 10*a^2 - 4*a^4 - 21*z^2 - (5*z^2)/a^4 + 
   (16*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 18*z^4 + (10*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 8385] -> 2 - a^(-4) + a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 
   6*z^2 - z^2/a^4 - 6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 8386] -> 1 - a^(-6) + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 8387] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 8388] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8389] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 2*a^8 - a^10 - 
   5*z^2 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 8390] -> 
  3*a^2 - 5*a^4 + 7*a^6 - 7*a^8 + 4*a^10 - a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 
   18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 
   21*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8391] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8392] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 8393] -> 
  2*a^4 - 4*a^8 + 8*a^10 - 7*a^12 + 2*a^14 + 3*a^4*z^2 + 7*a^6*z^2 - 
   19*a^8*z^2 + 25*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 - a^4*z^4 + 14*a^6*z^4 - 
   28*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   18*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 8394] -> a^2 + 2*a^10 - 3*a^12 + a^14 + a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 + 7*a^10*z^2 - 4*a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - 
   4*a^6*z^4 - 4*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 8395] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8396] -> 3*a^2 - 5*a^4 + 7*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8397] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8398] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8399] -> 
  -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 16*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8400] -> -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 - 7*z^2 + z^2/a^2 + 17*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8401] -> 2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 3*a^2*z^2 - 9*a^4*z^2 + 19*a^6*z^2 - 18*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 25*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8402] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - z^2 + 9*a^2*z^2 - 19*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 26*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8403] -> 
  1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8404] -> 1 - a^2 + 2*a^4 - 3*a^8 + 3*a^10 - a^12 + 
   z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   4*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8405] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + z^4/a^2 + 6*a^2*z^4 + 
   a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 8406] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 
   2*a^4 - 19*z^2 + z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8407] -> a^4 + 2*a^6 - 5*a^8 + 8*a^10 - 7*a^12 + 
   2*a^14 + 3*a^4*z^2 + 7*a^6*z^2 - 17*a^8*z^2 + 24*a^10*z^2 - 12*a^12*z^2 + 
   a^14*z^2 + 12*a^6*z^4 - 26*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 
   3*a^4*z^6 + 10*a^6*z^6 - 18*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 
   4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 8408] -> 
  2*a^4 - a^6 + 2*a^10 - 3*a^12 + a^14 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + 7*a^10*z^2 - 4*a^12*z^2 + 2*a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 
   6*a^10*z^4 - a^2*z^6 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 8409] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 
   5*z^2 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 6*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 8410] -> 
  -1 + 6*a^2 - 11*a^4 + 14*a^6 - 9*a^8 + 2*a^10 - 3*z^2 + 17*a^2*z^2 - 
   31*a^4*z^2 + 31*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   34*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8411] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 8412] -> -3 - 3/a^8 + 6/a^6 - 7/a^4 + 8/a^2 - 7*z^2 - 
   (6*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8413] -> 1 - 2/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8414] -> -4 + a^(-10) - 6/a^8 + 11/a^6 - 13/a^4 + 
   12/a^2 - 8*z^2 + z^2/a^10 - (11*z^2)/a^8 + (26*z^2)/a^6 - (28*z^2)/a^4 + 
   (26*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (25*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 8415] -> 
  5 - a^(-8) + 3/a^4 - 4/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 - z^4/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8416] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 
   19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8417] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8418] -> 3*a^2 - 5*a^4 + 7*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8419] -> 
  2*a^4 - 4*a^8 + 8*a^10 - 7*a^12 + 2*a^14 + 3*a^4*z^2 + 7*a^6*z^2 - 
   19*a^8*z^2 + 25*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 - a^4*z^4 + 14*a^6*z^4 - 
   28*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   18*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 8420] -> -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 11*a^2*z^2 - 18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   2*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   9*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8421] -> 3*a^2 - 5*a^4 + 7*a^6 - 7*a^8 + 
   4*a^10 - a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 17*a^8*z^4 + 
   4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8422] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8423] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 + 3*a^2*z^4 - 11*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8424] -> 
  2 - 2*a^2 - a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 11*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 19*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8425] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8426] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 8427] -> 
  2 - a^(-8) + a^(-6) - a^2 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8428] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 11*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 8429] -> 
  1 - a^6 + 2*a^8 - a^10 - z^2 + 3*a^2*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 8430] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8431] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - 
   2*z^2 + a^2*z^2 + a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8432] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8433] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 8434] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8435] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 24*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8436] -> 
  -4 - a^(-6) + 4/a^2 + 3*a^2 - a^4 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8437] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8438] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8439] -> 
  2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 6*a^6*z^2 - 
   15*a^8*z^2 + 19*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 - a^4*z^4 + 13*a^6*z^4 - 
   25*a^8*z^4 + 20*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   17*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 8440] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 8441] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8442] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   z^2 - z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 8443] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   5*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8444] -> 
  a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + a^2*z^2 - 2*a^4*z^2 + 11*a^6*z^2 - 
   12*a^8*z^2 + 5*a^10*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 14*a^6*z^4 - 
   9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8445] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 8446] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 17*a^6*z^2 - 
   13*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 24*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8447] -> 2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + 
   z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8448] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   z^4 + (6*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8449] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 
   z^2 + a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   6*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8450] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 2*z^2 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 
   z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 8451] -> 2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + 
   a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 10*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 + 
   5*a^6*z^4 - 13*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 3*a^6*z^6 - 7*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 8452] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - z^4 + z^4/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8453] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8454] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 11*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 8455] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8456] -> 1 - a^6 + 2*a^8 - a^10 - z^2 + 3*a^2*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 8457] -> -4 - 2/a^6 + 3/a^4 + a^(-2) + 5*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^6 + z^2/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   20*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8458] -> 
  -a^(-6) + a^(-4) + a^(-2) - a^2 + 2*a^4 - a^6 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 8459] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8460] -> 2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   3*a^2*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8461] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - z^4 + 3*a^2*z^4 - 11*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   8*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8462] -> a^2 + a^6 - 3*a^8 + 5*a^10 - 
   4*a^12 + a^14 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 10*a^10*z^2 - 
   4*a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 6*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 8463] -> -4 - a^(-6) + a^(-4) + 2/a^2 + 5*a^2 - 
   2*a^4 - 17*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8464] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8465] -> 1 - a^(-6) + 2/a^4 - a^(-2) - a^2 + 2*a^4 - 
   a^6 + 2*z^2 + z^2/a^4 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 8466] -> -2 - 3/a^8 + 5/a^6 - 4/a^4 + 5/a^2 - 7*z^2 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8467] -> -2 - 2/a^8 + 3/a^6 - 3/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8468] -> 2 - 2/a^8 + 2/a^6 + a^(-4) - a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8469] -> 
  2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 3*z^2 + (3*z^2)/a^4 - a^4*z^2 + 2*z^4 + 
   z^4/a^8 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 8470] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 11*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 8471] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8472] -> 
  3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8473] -> 2 - 2*a^2 + a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 8474] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 8475] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8476] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 8477] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 13*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 8478] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 8479] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8480] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   5*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8481] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8482] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8483] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8484] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 13*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 8485] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 8486] -> 
  1 - a^2 + 4*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 
   10*a^8*z^2 + 2*a^10*z^2 - z^4 + 6*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8487] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   z^4 + (6*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8488] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   2*z^2 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8489] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8490] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8491] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8492] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + a^4*z^2 + 12*a^6*z^2 - 16*a^8*z^2 + 
   5*a^10*z^2 + a^12*z^2 - 4*a^4*z^4 + 16*a^6*z^4 - 14*a^8*z^4 - 4*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 8493] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8494] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8495] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 8*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8496] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 - 
   2*z^2 + z^2/a^4 + z^2/a^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8497] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8498] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   2*z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 7*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8499] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8500] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   14*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8501] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8502] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8503] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (19*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 8504] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8505] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8506] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8507] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 8508] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 4*z^2 + 9*a^2*z^2 - 
   13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8509] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8510] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 2*a^4*z^2 + 10*a^6*z^2 - 
   16*a^8*z^2 + 7*a^10*z^2 - a^2*z^4 - a^4*z^4 + 12*a^6*z^4 - 15*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 8511] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8512] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8513] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 + 11*a^6*z^2 - 15*a^8*z^2 + 5*a^10*z^2 + a^12*z^2 - 4*a^4*z^4 + 
   12*a^6*z^4 - 13*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 8514] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8515] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8516] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8517] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8518] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 
   9*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8519] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8520] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8521] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8522] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 - 2*a^4*z^2 + 
   22*a^6*z^2 - 23*a^8*z^2 + 7*a^10*z^2 + a^12*z^2 - 7*a^4*z^4 + 26*a^6*z^4 - 
   21*a^8*z^4 - 3*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 16*a^6*z^6 - 
   4*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 8523] -> 
  a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 3*a^4*z^2 + 8*a^6*z^2 - 12*a^8*z^2 + 
   4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 9*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 8524] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   3*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   4*a^2*z^4 - 10*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8525] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^4 - z^2/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 8526] -> 
  1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8527] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8528] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 
   11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 8529] -> 
  3*a^2 - 3*a^4 + a^6 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8530] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8531] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8532] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 4*z^2 + 9*a^2*z^2 - 
   13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8533] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8534] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8535] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8536] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8537] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 16*a^8*z^2 + 7*a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   12*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 
   4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 8538] -> a^(-2) - a^2 + a^4 + z^2 - z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8539] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8540] -> 2 - a^2 - a^4 + a^6 - z^2/a^2 + 5*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8541] -> a^(-4) - a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8542] -> 2 - a^2 - a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8543] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^4*z^2 + 
   8*a^6*z^2 - 8*a^8*z^2 - 2*a^10*z^2 + 3*a^12*z^2 - 3*a^4*z^4 + 11*a^6*z^4 - 
   6*a^8*z^4 - 10*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 2*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 8544] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 - z^2/a^4 + z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 12*z^4 - z^4/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8545] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 - 
   a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 3*a^6*z^4 - 4*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 8546] -> 
  -a^(-6) + a^(-4) + a^(-2) - 7*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8547] -> 1 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8548] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (5*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8549] -> 
  3 - a^(-2) - 2*a^4 + a^6 + z^2 - z^2/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 17*a^2*z^4 - 18*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8550] -> 1 + 2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 15*a^4*z^4 + 16*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8551] -> a^(-2) - a^4 + a^6 - z^2/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 8552] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 - 
   4*a^10*z^2 + 4*a^12*z^2 - 3*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 
   12*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 8553] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 
   2*a^12*z^2 - a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 8554] -> 
  -a^(-6) + a^(-4) + a^(-2) - 7*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8555] -> -1 - a^(-6) + 2/a^4 + a^2 - 10*z^2 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8556] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 
   z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 
   14*a^4*z^4 + 17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 8557] -> a^2 + a^4 - 2*a^8 + a^10 + 
   a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + a^12*z^2 - 
   a^2*z^4 + 4*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 8558] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   10*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8559] -> 
  1 + a^6 - 2*a^8 + a^10 + z^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8560] -> -a^(-4) + 2/a^2 - 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8561] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 8562] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + 
   a^2 - 10*z^2 - z^2/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8563] -> 
  a^(-2) - a^4 + a^6 - 3*z^2 + 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8564] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 8565] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 8566] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 8567] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8568] -> 
  a^2 + a^4 - a^6 - z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 14*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8569] -> 2*a^2 - a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8570] -> 5*a^6 - 5*a^8 + a^10 - a^4*z^2 + 18*a^6*z^2 - 
   15*a^8*z^2 + 3*a^12*z^2 - 6*a^4*z^4 + 21*a^6*z^4 - 13*a^8*z^4 - 
   9*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 8571] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 4*a^4*z^2 + 
   5*a^6*z^2 - 7*a^8*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 8572] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 4*a^4*z^2 + 
   4*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 - 8*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 8573] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + z^2 - 
   a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8574] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 8575] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 
   2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + a^12*z^2 - z^4 - 
   a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 8576] -> 
  1 + z^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8577] -> a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 
   3*a^6*z^4 - 4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 8578] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8579] -> 1 + a^6 - 2*a^8 + a^10 + z^2 - a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8580] -> a^(-2) - a^4 + a^6 - 3*z^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8581] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 11*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8582] -> 
  3 - a^(-2) - a^2 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8583] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 4*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 7*a^6*z^4 - 10*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 8584] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + z^2 - a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 16*a^4*z^4 + 19*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8585] -> -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - 
   2*a^2*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8586] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 11*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8587] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 11*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8588] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 8589] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 
   2*a^2*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^12*z^2 - z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 8590] -> a^(-2) - a^2 + a^4 + a^6 - 2*a^8 + a^10 - 
   3*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 8591] -> 
  3 - a^(-2) - a^2 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8592] -> 
  1 + a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8593] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 4*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 7*a^6*z^4 - 10*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 8594] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 11*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8595] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8596] -> -a^(-4) + 2/a^2 - 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8597] -> 
  1 + z^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 8598] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 16*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8599] -> 
  1 + a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8600] -> 
  -2 + 10*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 7*z^2 + 27*a^2*z^2 - 30*a^4*z^2 + 
   10*a^6*z^2 + a^8*z^2 - 9*z^4 + 29*a^2*z^4 - 24*a^4*z^4 - 3*a^6*z^4 + 
   3*a^8*z^4 - 5*z^6 + 17*a^2*z^6 - 4*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8601] -> 3*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 - 
   2*z^2 + 7*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   5*a^2*z^4 + 2*a^4*z^4 - 9*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 8602] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 
   a^2*z^2 + 17*a^4*z^2 - 30*a^6*z^2 + 13*a^8*z^2 - 13*a^2*z^4 + 44*a^4*z^4 - 
   58*a^6*z^4 + 16*a^8*z^4 - 16*a^2*z^6 + 52*a^4*z^6 - 46*a^6*z^6 + 
   7*a^8*z^6 - 7*a^2*z^8 + 31*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 8603] -> 
  1 + 2*a^4 - 4*a^6 + 2*a^8 + 2*a^2*z^2 + 3*a^4*z^2 - 14*a^6*z^2 + 
   7*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 5*a^4*z^4 - 20*a^6*z^4 + 5*a^8*z^4 - 
   4*z^6 + 8*a^2*z^6 + 8*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8604] -> 2 - 2*a^2 + 3*a^4 - 4*a^6 + 2*a^8 + z^2 - 
   a^2*z^2 + 2*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 6*a^2*z^4 - 
   14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8605] -> 3*a^2 - 2*a^4 - a^8 + a^10 + 3*a^2*z^2 - 
   3*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - 5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 
   17*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 11*a^4*z^6 + 5*a^6*z^6 - 
   11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[15, Alternating, 8606] -> 
  1 + a^2 - a^4 - a^8 + a^10 + z^2 - 4*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 8607] -> 2 - a^2 - a^8 + a^10 + z^2 - 
   a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   2*a^4*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 8608] -> 2 - 2*a^2 + 3*a^4 - 4*a^6 + 2*a^8 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 8609] -> 2 - a^2 - a^8 + a^10 + z^2 - a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + a^2*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 8610] -> a^(-2) - a^2 + 3*a^4 - 4*a^6 + 2*a^8 + z^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 8611] -> a^(-2) - a^8 + a^10 - 2*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4/a^2 - a^6*z^4 - 2*a^8*z^4 + z^6 + 
   2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 8612] -> 
  -5 + 2/a^2 + 9*a^2 - 9*a^4 + 5*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 8613] -> 5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + 
   a^10 - 2*z^2 + 12*a^2*z^2 - 24*a^4*z^2 + 22*a^6*z^2 - 10*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 8614] -> -2 + a^2 + 6*a^4 - a^6 - 5*a^8 + 2*a^10 - 
   5*z^2 + 5*a^2*z^2 + 10*a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 10*a^2*z^4 + 3*a^4*z^4 + 18*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 8615] -> 
  -a^(-14) + 3/a^12 - 6/a^8 + 3/a^6 + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 + 
   z^2/a^10 - (16*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8616] -> 
  -4 + 5/a^8 - 18/a^6 + 16/a^4 + 2/a^2 - 12*z^2 + (9*z^2)/a^8 - 
   (44*z^2)/a^6 + (47*z^2)/a^4 + (8*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (42*z^4)/a^6 + (59*z^4)/a^4 + (15*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (40*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8617] -> -2 + 2/a^10 - 5/a^8 - a^(-6) + 6/a^4 + 
   a^(-2) - 5*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + 
   (17*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (8*z^4)/a^6 + (21*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 8618] -> 2 - a^(-12) + 4/a^10 - 6/a^8 + 
   5/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (10*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8619] -> -14 - 2/a^4 + 9/a^2 + 14*a^2 - 9*a^4 + 
   3*a^6 - 34*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 34*a^2*z^2 - 23*a^4*z^2 + 
   6*a^6*z^2 - 32*z^4 - z^4/a^4 + (12*z^4)/a^2 + 35*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8620] -> 
  -4 + 4/a^8 - 14/a^6 + 11/a^4 + 4/a^2 - 12*z^2 + (8*z^2)/a^8 - 
   (37*z^2)/a^6 + (36*z^2)/a^4 + (12*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (39*z^4)/a^6 + (51*z^4)/a^4 + (17*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (38*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8621] -> -2 + a^(-10) - a^(-8) - 6/a^6 + 8/a^4 + 
   a^(-2) - 5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (8*z^2)/a^6 + (21*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (23*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 8622] -> -3/a^14 + 12/a^12 - 13/a^10 - a^(-8) + 
   6/a^6 - (7*z^2)/a^14 + (33*z^2)/a^12 - (38*z^2)/a^10 - (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^4)/a^14 + (37*z^4)/a^12 - (50*z^4)/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (37*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 8623] -> 
  -2/a^14 + 7/a^12 - 5/a^10 - 4/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (10*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - (17*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8624] -> -a^(-14) + 2/a^12 + 3/a^10 - 7/a^8 + 4/a^4 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (13*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (13*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8625] -> -4 + 16*a^2 - 16*a^4 + 4*a^6 + a^8 - 8*z^2 + 
   34*a^2*z^2 - 36*a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 29*a^2*z^4 - 
   34*a^4*z^4 - 5*a^6*z^4 + 6*a^8*z^4 - z^6 + 12*a^2*z^6 - 18*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 8626] -> 
  4/a^10 - 15/a^8 + 16/a^6 - 4/a^4 + (2*z^2)/a^12 - (26*z^2)/a^8 + 
   (42*z^2)/a^6 - (12*z^2)/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 - (13*z^4)/a^8 + 
   (43*z^4)/a^6 - (13*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (2*z^6)/a^8 + 
   (23*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (7*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 8627] -> 
  -4 + 5/a^8 - 18/a^6 + 16/a^4 + 2/a^2 - 12*z^2 + (9*z^2)/a^8 - 
   (44*z^2)/a^6 + (47*z^2)/a^4 + (8*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (42*z^4)/a^6 + (59*z^4)/a^4 + (15*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (40*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8628] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8629] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (5*z^2)/a^10 + (22*z^2)/a^8 - 
   (24*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - 
   (40*z^4)/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (31*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8630] -> -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8631] -> -7 - a^(-8) + 4/a^6 - 8/a^4 + 11/a^2 + a^2 + 
   a^4 - 10*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (21*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8632] -> 
  -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8633] -> -2/a^18 + 10/a^16 - 14/a^14 + 
   a^(-12) + 6/a^10 - z^2/a^18 + (15*z^2)/a^16 - (39*z^2)/a^14 + 
   (13*z^2)/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (28*z^4)/a^12 + (29*z^4)/a^10 + (5*z^4)/a^8 - 
   (9*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 8634] -> 
  -2/a^10 + 8/a^8 - 12/a^6 + 7/a^4 - (5*z^2)/a^10 + (25*z^2)/a^8 - 
   (35*z^2)/a^6 + (15*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - 
   (46*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (32*z^6)/a^6 + (3*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 8635] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8636] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 8637] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8638] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 9*z^2 + z^2/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 
   a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8639] -> 
  2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 - z^2/a^2 + 10*a^2*z^2 - 
   17*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8640] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 
   3/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (17*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8641] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (13*z^2)/a^10 - (17*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (8*z^4)/a^10 - 
   (22*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8642] -> -2/a^14 + 9/a^12 - 13/a^10 + 5/a^8 + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (13*z^2)/a^12 - (22*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (15*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (4*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8643] -> -10 + a^(-6) - 6/a^4 + 12/a^2 + 5*a^2 - a^4 - 
   25*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (36*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8644] -> -8 - a^(-4) + 4/a^2 + 12*a^2 - 8*a^4 + 
   2*a^6 - 24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 28*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8645] -> 
  -1 + 10*a^4 - 12*a^6 + 4*a^8 - 3*z^2 + 5*a^2*z^2 + 14*a^4*z^2 - 
   21*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 3*a^4*z^4 - 19*a^6*z^4 + 
   7*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 8646] -> -8 - a^(-4) + 4/a^2 + 12*a^2 - 8*a^4 + 
   2*a^6 - 24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 28*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8647] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - 
   (23*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 8648] -> 
  -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 12*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 + 11*a^4*z^4 - 
   5*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8649] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + 
   (2*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8650] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - z^2/a^14 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 - z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8651] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (45*z^2)/a^14 + (21*z^2)/a^12 + (20*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (36*z^4)/a^14 + (31*z^4)/a^12 + (33*z^4)/a^10 + (3*z^4)/a^8 - 
   (9*z^6)/a^14 + (21*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 8652] -> 
  -3/a^14 + 14/a^12 - 21/a^10 + 9/a^8 + 2/a^6 - (7*z^2)/a^14 + 
   (36*z^2)/a^12 - (56*z^2)/a^10 + (23*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^4)/a^14 + (38*z^4)/a^12 - (63*z^4)/a^10 + (17*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (40*z^6)/a^10 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (14*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 8653] -> -2/a^14 + 8/a^12 - 9/a^10 + 
   3/a^6 + a^(-4) - (3*z^2)/a^14 + (15*z^2)/a^12 - (17*z^2)/a^10 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (13*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8654] -> 
  -1 + a^(-10) - 2/a^8 - 4/a^6 + 8/a^4 - a^(-2) - 3*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 - z^2/a^6 + (17*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (9*z^4)/a^6 + (11*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 8655] -> 
  9 + a^(-6) - 3/a^4 - 2/a^2 - 3*a^2 - a^4 + 18*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8656] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 
   3/a^6 + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (13*z^2)/a^10 - (17*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (8*z^4)/a^10 - 
   (22*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8657] -> -a^(-14) + 2/a^12 + 4/a^10 - 12/a^8 + 7/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 + (6*z^2)/a^10 - (28*z^2)/a^8 + 
   (15*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + z^4/a^10 - 
   (30*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8658] -> -10 + a^(-6) - 6/a^4 + 12/a^2 + 5*a^2 - a^4 - 
   25*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (36*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8659] -> -3 + 2/a^6 - 9/a^4 + 11/a^2 + a^2 - a^4 - 
   7*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 + z^4/a^6 - (12*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8660] -> 
  1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8661] -> -1 - a^(-4) + 3/a^2 + a^2 - 3*a^4 + 2*a^6 - 
   11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8662] -> 
  -2 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8663] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8664] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 10/a^6 - 
   5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + 
   (24*z^2)/a^6 - (13*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (22*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8665] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 
   2*a^2 - 14*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8666] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + 
   (4*z^2)/a^8 - (16*z^2)/a^6 + (15*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (16*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (10*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8667] -> a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 6/a^2 - 
   3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (23*z^2)/a^6 - (30*z^2)/a^4 + 
   (16*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (31*z^4)/a^4 + 
   (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8668] -> 
  -1 + 2/a^10 - 6/a^8 + a^(-6) + 6/a^4 - a^(-2) - 3*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (12*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (20*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 8669] -> 
  4 + a^(-6) - 4/a^4 + 2/a^2 - a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8670] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 
   9/a^6 - 8/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (18*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8671] -> 9 + a^(-6) - 2/a^4 - 3/a^2 - 4*a^2 + 20*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 21*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 8672] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 22*z^2 + (4*z^2)/a^6 - (21*z^2)/a^4 + 
   (35*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (38*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8673] -> 3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (13*z^2)/a^8 + (21*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (10*z^4)/a^10 - (2*z^4)/a^8 + (20*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 8674] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (23*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8675] -> -1 + a^(-10) - 5/a^8 + 10/a^6 - 11/a^4 + 
   7/a^2 - 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (27*z^2)/a^4 + 
   (19*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (28*z^4)/a^4 + 
   (23*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8676] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 10/a^6 - 4/a^4 + 2/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (24*z^2)/a^8 + (25*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (26*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   (6*z^6)/a^8 + (15*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 8677] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (18*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 8678] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 15*a^2*z^4 + 
   7*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 8679] -> -5 - 2/a^8 + 7/a^6 - 9/a^4 + 8/a^2 + a^2 + 
   a^4 - 7*z^2 - z^2/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (16*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8680] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 8681] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (25*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8682] -> 
  -8 - a^(-8) + 5/a^6 - 8/a^4 + 9/a^2 + 4*a^2 - 24*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (22*z^2)/a^4 + (28*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (34*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 8683] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   11*z^2 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 8684] -> 
  -9 - a^(-8) + 4/a^6 - 7/a^4 + 10/a^2 + 4*a^2 - 26*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (19*z^2)/a^4 + (29*z^2)/a^2 + 7*a^2*z^2 - 30*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (33*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 8685] -> a^(-8) - 2/a^6 + 2/a^2 - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 - z^4/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (3*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8686] -> -10 - 2/a^4 + 8/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 30*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 17*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 8687] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8688] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 
   2/a^2 - (5*z^2)/a^10 + (21*z^2)/a^8 - (21*z^2)/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (10*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 8689] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (6*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8690] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + z^2/a^2 + 8*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8691] -> 
  a^(-6) - 3/a^4 + 2/a^2 + 3*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8692] -> 
  -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 6/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (38*z^2)/a^14 + (10*z^2)/a^12 + (24*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (33*z^4)/a^14 + (23*z^4)/a^12 + (35*z^4)/a^10 + (3*z^4)/a^8 - 
   (9*z^6)/a^14 + (19*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 8693] -> 
  -2/a^18 + 10/a^16 - 15/a^14 + 4/a^12 + 3/a^10 + a^(-8) - z^2/a^18 + 
   (15*z^2)/a^16 - (40*z^2)/a^14 + (18*z^2)/a^12 + (15*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^4)/a^16 - (34*z^4)/a^14 + (30*z^4)/a^12 + 
   (25*z^4)/a^10 + (6*z^4)/a^8 - (9*z^6)/a^14 + (21*z^6)/a^12 + 
   (17*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 8694] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (30*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (40*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8695] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 8696] -> 
  -1 + 2/a^10 - 8/a^8 + 11/a^6 - 8/a^4 + 5/a^2 - 3*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (27*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (27*z^4)/a^6 - (22*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 8697] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8698] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 
   8*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   3*a^4*z^4 - 12*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 8699] -> 
  -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 25*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 27*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 8700] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 
   4*a^4*z^2 - 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 + 4*a^4*z^4 - 
   4*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8701] -> -a^(-4) + 2/a^2 - (4*z^2)/a^10 + 
   (15*z^2)/a^8 - (13*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^10 + 
   (26*z^4)/a^8 - (32*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (29*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8702] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   7*z^2 + z^2/a^6 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8703] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 
   2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (15*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 8704] -> 
  -7 + 2/a^6 - 9/a^4 + 13/a^2 + 3*a^2 - a^4 - 21*z^2 + (4*z^2)/a^6 - 
   (20*z^2)/a^4 + (33*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8705] -> 
  -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8706] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 8*a^2*z^4 - 
   10*z^6 - z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 8707] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 
   4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8708] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 - z^2/a^10 - (11*z^2)/a^8 + 
   (19*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (3*z^4)/a^8 + (18*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8709] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (4*z^2)/a^12 - 
   (18*z^2)/a^10 + (20*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - 
   (26*z^4)/a^10 + (38*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (30*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 8710] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 6*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (17*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (15*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 8711] -> -2 + 6*a^2 - 3*a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 8712] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   21*a^2*z^2 - 6*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - a^4*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 + 2*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 8713] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8714] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 9*z^2 + z^2/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 
   a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8715] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + z^2/a^2 + 8*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8716] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (13*z^2)/a^4 - (3*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (15*z^4)/a^4 + (3*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (10*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 8717] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8718] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 25*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (24*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   30*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8719] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (22*z^2)/a^6 - (26*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (25*z^4)/a^6 - (31*z^4)/a^4 + (15*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 8720] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 26*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (25*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 32*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8721] -> -a^(-14) + 6/a^12 - 12/a^10 + 7/a^8 + 
   a^(-6) - (6*z^2)/a^14 + (28*z^2)/a^12 - (43*z^2)/a^10 + (20*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^4)/a^14 + (38*z^4)/a^12 - (59*z^4)/a^10 + 
   (14*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (42*z^6)/a^10 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 8722] -> 
  3/a^12 - 11/a^10 + 10/a^8 - a^(-6) + (7*z^2)/a^12 - (37*z^2)/a^10 + 
   (45*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^4)/a^12 - (41*z^4)/a^10 + 
   (65*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + z^6/a^12 - (19*z^6)/a^10 + 
   (44*z^6)/a^8 + (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (15*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 8723] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8724] -> -2/a^10 + 8/a^8 - 11/a^6 + 5/a^4 + a^(-2) - 
   (7*z^2)/a^10 + (34*z^2)/a^8 - (43*z^2)/a^6 + (11*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (41*z^4)/a^8 - (63*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (19*z^6)/a^8 - (44*z^6)/a^6 - (6*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (15*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 8725] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 
   4*z^2 + (7*z^2)/a^8 - (34*z^2)/a^6 + (44*z^2)/a^4 - (9*z^2)/a^2 - 8*z^4 + 
   (5*z^4)/a^8 - (41*z^4)/a^6 + (63*z^4)/a^4 - (4*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (19*z^6)/a^6 + (44*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (15*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8726] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - (6*z^2)/a^6 + (18*z^2)/a^4 - (4*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + (21*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + (13*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 8727] -> -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (14*z^2)/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (12*z^4)/a^10 - 
   (13*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8728] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (3*z^2)/a^12 - (16*z^2)/a^10 + (13*z^2)/a^8 + (11*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (12*z^4)/a^10 + (14*z^4)/a^8 + (18*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (12*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8729] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (13*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (4*z^4)/a^10 - (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 8730] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (4*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8731] -> 
  3 - 3/a^6 + 10/a^4 - 10/a^2 + a^2 + 8*z^2 - (7*z^2)/a^6 + (36*z^2)/a^4 - 
   (44*z^2)/a^2 + 5*a^2*z^2 + 3*z^4 - (5*z^4)/a^6 + (41*z^4)/a^4 - 
   (64*z^4)/a^2 + 8*a^2*z^4 - 6*z^6 - z^6/a^6 + (19*z^6)/a^4 - (44*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (15*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 8732] -> 
  12 + a^(-4) - 7/a^2 - 5*a^2 + 44*z^2 + (6*z^2)/a^4 - (31*z^2)/a^2 - 
   12*a^2*z^2 - 3*a^4*z^2 + 62*z^4 + (5*z^4)/a^4 - (39*z^4)/a^2 - 6*a^2*z^4 - 
   7*a^4*z^4 + 43*z^6 + z^6/a^4 - (19*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + 
   15*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 8733] -> 7 - 3/a^2 - 3*a^2 + 19*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 22*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 8734] -> 3 - a^(-8) + a^(-6) + 5/a^4 - 8/a^2 + a^2 + 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - (22*z^2)/a^2 + 
   3*a^2*z^2 + z^4 - z^4/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 - (24*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 8735] -> 
  2 - a^(-4) + a^(-2) - a^2 + 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 8736] -> -4*a^2 + 13*a^4 - 10*a^6 + 2*a^8 - 
   14*a^2*z^2 + 53*a^4*z^2 - 51*a^6*z^2 + 17*a^8*z^2 - 16*a^2*z^4 + 
   77*a^4*z^4 - 93*a^6*z^4 + 30*a^8*z^4 - 7*a^2*z^6 + 53*a^4*z^6 - 
   83*a^6*z^6 + 23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 40*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 8737] -> 11 - 3/a^2 - 11*a^2 + 4*a^4 + 45*z^2 - 
   (10*z^2)/a^2 - 58*a^2*z^2 + 22*a^4*z^2 + 68*z^4 - (12*z^4)/a^2 - 
   102*a^2*z^4 + 34*a^4*z^4 + 48*z^6 - (6*z^6)/a^2 - 88*a^2*z^6 + 
   24*a^4*z^6 + 16*z^8 - z^8/a^2 - 41*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 8738] -> 
  -1 + 8*a^4 - 8*a^6 + 2*a^8 - 4*z^2 + 8*a^2*z^2 + 14*a^4*z^2 - 24*a^6*z^2 + 
   10*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 4*a^4*z^4 - 31*a^6*z^4 + 12*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 8739] -> 6 - 2/a^6 + 9/a^4 - 12/a^2 + 23*z^2 - 
   (9*z^2)/a^6 + (43*z^2)/a^4 - (60*z^2)/a^2 + 34*z^4 - (12*z^4)/a^6 + 
   (67*z^4)/a^4 - (103*z^4)/a^2 + 24*z^6 - (6*z^6)/a^6 + (48*z^6)/a^4 - 
   (88*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (41*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 8740] -> 
  1 - 2/a^6 + 8/a^4 - 8/a^2 + 2*a^2 - 6*z^2 - (5*z^2)/a^6 + (22*z^2)/a^4 - 
   (22*z^2)/a^2 + 7*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + (23*z^4)/a^4 - 
   (25*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (16*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 8741] -> 
  6 - a^(-4) + a^(-2) - 9*a^2 + 4*a^4 + 8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   27*a^2*z^2 + 12*a^4*z^2 - z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 33*a^2*z^4 + 
   13*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 - 21*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 8742] -> -2 + 4*a^2 + 3*a^4 - 6*a^6 + 2*a^8 - 5*z^2 + 
   14*a^2*z^2 + 2*a^4*z^2 - 15*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   6*a^4*z^4 - 20*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 8743] -> 
  -a^(-10) + 7/a^8 - 13/a^6 + 8/a^4 - (7*z^2)/a^10 + (39*z^2)/a^8 - 
   (61*z^2)/a^6 + (28*z^2)/a^4 - (11*z^4)/a^10 + (64*z^4)/a^8 - 
   (105*z^4)/a^6 + (36*z^4)/a^4 - (6*z^6)/a^10 + (47*z^6)/a^8 - 
   (89*z^6)/a^6 + (24*z^6)/a^4 - z^8/a^10 + (16*z^8)/a^8 - (41*z^8)/a^6 + 
   (8*z^8)/a^4 + (2*z^10)/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 8744] -> -a^(-10) + 6/a^8 - 9/a^6 + 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (20*z^2)/a^8 - (23*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (22*z^4)/a^8 - (26*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (16*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8745] -> -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (14*z^2)/a^8 - (11*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (14*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8746] -> 1 - 7*a^2 + 14*a^4 - 7*a^6 + 7*z^2 - 
   39*a^2*z^2 + 64*a^4*z^2 - 25*a^6*z^2 + 11*z^4 - 64*a^2*z^4 + 106*a^4*z^4 - 
   35*a^6*z^4 + 6*z^6 - 47*a^2*z^6 + 89*a^4*z^6 - 24*a^6*z^6 + z^8 - 
   16*a^2*z^8 + 41*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 8747] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 10*a^2*z^2 + 4*a^4*z^2 - 10*a^6*z^2 + 
   5*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 4*a^4*z^4 - 17*a^6*z^4 + 8*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 8748] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 60*z^2 + 
   (9*z^2)/a^4 - (43*z^2)/a^2 - 23*a^2*z^2 + 103*z^4 + (12*z^4)/a^4 - 
   (67*z^4)/a^2 - 34*a^2*z^4 + 88*z^6 + (6*z^6)/a^4 - (48*z^6)/a^2 - 
   24*a^2*z^6 + 41*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 8749] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 20*z^2 + (4*z^2)/a^4 - (18*z^2)/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 23*z^4 + (4*z^4)/a^4 - (21*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + 15*z^6 + z^6/a^4 - (11*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 8750] -> -3*a^2 + 9*a^4 - 5*a^6 - 7*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 28*a^4*z^2 - 13*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 34*a^4*z^4 - 13*a^6*z^4 - 9*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   21*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8751] -> 
  -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 15*a^2*z^2 - 2*a^4*z^2 - 10*a^6*z^2 + 
   6*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 7*a^4*z^4 - 19*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 8752] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 8753] -> 
  3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + (10*z^2)/a^8 - (45*z^2)/a^6 + 
   (59*z^2)/a^4 - (21*z^2)/a^2 + (12*z^4)/a^8 - (68*z^4)/a^6 + 
   (102*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (48*z^6)/a^6 + (88*z^6)/a^4 - 
   (24*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (41*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 8754] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 6*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (20*z^2)/a^4 + (4*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (23*z^4)/a^6 + (24*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8755] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 6*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (10*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8756] -> -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + 
   17*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   3*a^4*z^4 - 14*a^6*z^4 + 7*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 
   13*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 8757] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 9*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (27*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (34*z^4)/a^2 + 4*a^2*z^4 - 15*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 8758] -> 1 - a^(-2) + 2*a^2 - a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 8759] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + (28*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + (35*z^4)/a^6 - (20*z^4)/a^4 + 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (19*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 8760] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 9*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (25*z^2)/a^4 + (25*z^2)/a^2 + a^2*z^2 - 
   13*z^4 - z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (31*z^4)/a^2 + 
   2*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8761] -> -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (7*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (14*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8762] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 - z^2/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (6*z^4)/a^8 + (22*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8763] -> -2/a^10 + 7/a^8 - 7/a^6 + 3/a^2 + z^2 - 
   (3*z^2)/a^10 + (16*z^2)/a^8 - (14*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (12*z^4)/a^8 - (14*z^4)/a^6 - (17*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8764] -> 
  10 - 3/a^2 - 7*a^2 - a^4 + 2*a^6 + 28*z^2 - (7*z^2)/a^2 - 22*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 + 29*z^4 - (5*z^4)/a^2 - 28*a^2*z^4 - 22*a^4*z^4 + 
   12*a^6*z^4 + 13*z^6 - z^6/a^2 - 19*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 8765] -> 5 - a^(-4) + a^(-2) - 5*a^2 - a^4 + 2*a^6 + 
   7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 14*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 16*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 8766] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   10*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + 15*a^4*z^2 - 9*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 + 22*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8767] -> 
  -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (6*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8768] -> 
  -5 + a^(-2) + 6*a^2 + 2*a^4 - 3*a^6 - 14*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 + 
   14*a^4*z^2 - 9*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 + 22*a^4*z^4 - 
   10*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8769] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 
   12*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (22*z^2)/a^2 + 
   3*a^2*z^2 - 16*z^4 - z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + 
   (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8770] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 22*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (28*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 30*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8771] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 31*z^2 - (7*z^2)/a^2 - 39*a^2*z^2 + 
   15*a^4*z^2 + 50*z^4 - (9*z^4)/a^2 - 74*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - 
   (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 8772] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 18*z^2 - 
   (6*z^2)/a^6 + (31*z^2)/a^4 - (45*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + 
   (52*z^4)/a^4 - (83*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 8773] -> 
  -2 + 5*a^2 - a^4 - a^6 - z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8774] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 25*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (7*z^2)/a^2 - 12*a^2*z^2 + 33*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (2*z^4)/a^2 - 13*a^2*z^4 + 21*z^6 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 8775] -> 3 - a^(-2) - a^2 + 9*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 3*a^4*z^2 + 12*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 8776] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 24*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 21*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 27*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8777] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 12*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 8778] -> 
  2/a^12 - 6/a^10 + a^(-8) + 6/a^6 - 2/a^4 + (3*z^2)/a^12 - (15*z^2)/a^10 + 
   (6*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (11*z^4)/a^8 + (25*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (14*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8779] -> 
  -a^(-12) + 2/a^10 + 3/a^8 - 9/a^6 + 5/a^4 + a^(-2) - (3*z^2)/a^12 + 
   (11*z^2)/a^10 + (3*z^2)/a^8 - (25*z^2)/a^6 + (9*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^12 + (12*z^4)/a^10 - (6*z^4)/a^8 - (29*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (8*z^6)/a^8 - (16*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 8780] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 + z^4/a^8 - (10*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 8781] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - a^4*z^4 + 3*z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 8782] -> 
  -2 + 4*a^2 + 3*a^4 - 6*a^6 + 2*a^8 - z^2/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   9*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 9*a^4*z^4 - 
   8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8783] -> 
  2 - a^(-10) + 5/a^8 - 6/a^6 + 2/a^4 - a^(-2) + 4*z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (12*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8784] -> 
  -4 + a^(-2) + 2*a^2 + 7*a^4 - 5*a^6 - 17*z^2 + (4*z^2)/a^2 + 10*a^2*z^2 + 
   23*a^4*z^2 - 13*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 + 30*a^4*z^4 - 
   13*a^6*z^4 - 11*z^6 + z^6/a^2 + 14*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8785] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 12*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - z^4/a^4 + 
   (6*z^4)/a^2 - 14*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 8786] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + z^4/a^8 - (7*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 8787] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 14*a^2*z^2 + 6*a^4*z^2 - 11*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 17*a^6*z^4 + 8*a^8*z^4 - z^6 + 
   11*a^2*z^6 - 7*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 8788] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - z^2 - (2*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 9*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8789] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (24*z^2)/a^6 - (25*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (21*z^4)/a^6 - (34*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8790] -> -4 - 2/a^6 + 7/a^4 - 4/a^2 + 4*a^2 - 20*z^2 - 
   (5*z^2)/a^6 + (20*z^2)/a^4 - (12*z^2)/a^2 + 12*a^2*z^2 - 29*z^4 - 
   (4*z^4)/a^6 + (22*z^4)/a^4 - (17*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (11*z^6)/a^4 - (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 8791] -> 
  -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 19*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 25*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8792] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 9*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8793] -> 
  -2 + 4*a^2 + 3*a^4 - 6*a^6 + 2*a^8 - z^2/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   9*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 9*a^4*z^4 - 
   8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8794] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 8795] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (25*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (16*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 8796] -> 
  4/a^12 - 15/a^10 + 15/a^8 - 3/a^6 + (8*z^2)/a^12 - (44*z^2)/a^10 + 
   (55*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + (5*z^4)/a^12 - (44*z^4)/a^10 + 
   (72*z^4)/a^8 - (8*z^4)/a^4 + z^6/a^12 - (19*z^6)/a^10 + (46*z^6)/a^8 + 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (15*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 8797] -> 
  4/a^12 - 15/a^10 + 15/a^8 - 3/a^6 + (8*z^2)/a^12 - (44*z^2)/a^10 + 
   (55*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + (5*z^4)/a^12 - (44*z^4)/a^10 + 
   (72*z^4)/a^8 - (8*z^4)/a^4 + z^6/a^12 - (19*z^6)/a^10 + (46*z^6)/a^8 + 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (15*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 8798] -> 
  3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 - 3*z^2 + (6*z^2)/a^8 - (33*z^2)/a^6 + 
   (46*z^2)/a^4 - (11*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (34*z^4)/a^6 + 
   (56*z^4)/a^4 - (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (37*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 8799] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (28*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (46*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (35*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8800] -> 2 - 11*a^2 + 19*a^4 - 9*a^6 + 9*z^2 - 
   49*a^2*z^2 + 78*a^4*z^2 - 30*a^6*z^2 + 12*z^4 - 72*a^2*z^4 + 120*a^4*z^4 - 
   39*a^6*z^4 + 6*z^6 - 49*a^2*z^6 + 95*a^4*z^6 - 25*a^6*z^6 + z^8 - 
   16*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 8801] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 31*z^2 - (7*z^2)/a^2 - 39*a^2*z^2 + 
   15*a^4*z^2 + 50*z^4 - (9*z^4)/a^2 - 74*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - 
   (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 8802] -> 8 - 3/a^6 + 13/a^4 - 17/a^2 + 28*z^2 - 
   (11*z^2)/a^6 + (53*z^2)/a^4 - (74*z^2)/a^2 + 38*z^4 - (13*z^4)/a^6 + 
   (75*z^4)/a^4 - (117*z^4)/a^2 + 25*z^6 - (6*z^6)/a^6 + (50*z^6)/a^4 - 
   (94*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (42*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 8803] -> 
  1 - 7*a^2 + 14*a^4 - 7*a^6 - 7*z^2 + (2*z^2)/a^2 - 7*a^2*z^2 + 34*a^4*z^2 - 
   15*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8804] -> 
  2 - 11*a^2 + 19*a^4 - 9*a^6 + 9*z^2 - 49*a^2*z^2 + 78*a^4*z^2 - 
   30*a^6*z^2 + 12*z^4 - 72*a^2*z^4 + 120*a^4*z^4 - 39*a^6*z^4 + 6*z^6 - 
   49*a^2*z^6 + 95*a^4*z^6 - 25*a^6*z^6 + z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 8805] -> 18 + 3/a^4 - 13/a^2 - 7*a^2 + 60*z^2 + 
   (9*z^2)/a^4 - (43*z^2)/a^2 - 22*a^2*z^2 + 90*z^4 + (10*z^4)/a^4 - 
   (58*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 8806] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + z^2 + (4*z^2)/a^10 - 
   (11*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (6*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + z^6 + (4*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8807] -> 
  2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (20*z^2)/a^8 + (29*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (34*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + 
   (18*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 8808] -> 
  -a^(-12) + 2/a^10 + 2/a^8 - 5/a^6 + 3/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - z^4/a^8 - (12*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 8809] -> -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 2/a^4 - 
   z^2/a^14 + (6*z^2)/a^12 - (7*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 8810] -> -2/a^6 + 7/a^4 - 5/a^2 - a^2 + 2*a^4 - 
   3*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - 5*z^4 - z^4/a^6 + (9*z^4)/a^4 - (10*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 8811] -> 
  -5 + a^(-2) + 6*a^2 + 2*a^4 - 3*a^6 - 8*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   14*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 - 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   15*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 8812] -> 2 - a^(-2) - a^2 + 5*a^4 - 6*a^6 + 2*a^8 + 
   6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 8813] -> 3 - a^(-2) - a^2 + 23*z^2 - (5*z^2)/a^2 - 
   29*a^2*z^2 + 12*a^4*z^2 + 45*z^4 - (8*z^4)/a^2 - 68*a^2*z^4 + 24*a^4*z^4 + 
   37*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 
   34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 8814] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 11*z^2 - 
   z^2/a^4 + z^2/a^2 - 19*a^2*z^2 + 8*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 8815] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 41*z^2 + (6*z^2)/a^4 - (29*z^2)/a^2 - 
   16*a^2*z^2 + 75*z^4 + (9*z^4)/a^4 - (49*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 8816] -> 1 - 7*a^2 + 14*a^4 - 7*a^6 - 7*z^2 + 
   (2*z^2)/a^2 - 7*a^2*z^2 + 34*a^4*z^2 - 15*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8817] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 19*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8818] -> 2 + a^(-4) - 2/a^2 + 13*z^2 - 
   (4*z^2)/a^6 + (21*z^2)/a^4 - (31*z^2)/a^2 + 24*z^4 - (8*z^4)/a^6 + 
   (44*z^4)/a^4 - (69*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - 
   (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 8819] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 2*z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - 
   (19*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - 
   (21*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + (9*z^6)/a^4 - (13*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 8820] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 9*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 - z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8821] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   5*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   12*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 8822] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8823] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 18*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 16*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 8824] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8825] -> 
  -a^(-8) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (5*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (8*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 8826] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 8827] -> 2 - a^(-4) + a^(-2) - a^2 + 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + 7*z^4 - (3*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 + 4*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 8828] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8829] -> 
  2 - a^(-2) + a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 10*a^4*z^4 - 
   4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8830] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8831] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 8832] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 8833] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (9*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 8834] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8835] -> 
  -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   25*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   29*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8836] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8837] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   z^2/a^14 - z^2/a^12 + (10*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (3*z^4)/a^10 - (16*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8838] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^14 + (3*z^2)/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - z^4/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 8839] -> 
  -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 9*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   z^2/a^4 + (24*z^2)/a^2 - 2*a^2*z^2 - 4*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (8*z^4)/a^4 + (27*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (15*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 8840] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 4*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (10*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 8841] -> 3 - 2/a^8 + 5/a^6 - 6/a^2 + a^2 + 6*z^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - (20*z^2)/a^2 + 3*a^2*z^2 + 
   2*z^4 - z^4/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - (25*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (14*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 8842] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 17*a^2*z^2 - 12*a^4*z^2 + 
   4*a^6*z^2 + a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 15*a^4*z^4 - 5*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 8843] -> 3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 8844] -> 4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 19*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 12*a^2*z^2 + 29*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 8845] -> 
  6 + a^(-6) - 3/a^4 - 3*a^2 + 14*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 15*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 8846] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 6*z^2 + 7*a^2*z^2 + 16*a^4*z^2 - 13*a^6*z^2 + 
   3*a^8*z^2 - 5*z^4 + 17*a^2*z^4 + 7*a^4*z^4 - 16*a^6*z^4 + 7*a^8*z^4 - 
   z^6 + 11*a^2*z^6 - 5*a^4*z^6 - 13*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 8847] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 8848] -> -3 + 7*a^2 - 2*a^4 - a^6 - z^2 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 8849] -> -a^(-10) + 4/a^8 - a^(-6) - 7/a^4 + 6/a^2 - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (9*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - 
   (4*z^4)/a^10 + (21*z^4)/a^8 - (17*z^4)/a^6 - (30*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (14*z^6)/a^6 - (20*z^6)/a^4 + (6*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8850] -> 2 - a^(-10) + 4/a^8 - 2/a^6 - 3/a^4 + 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - (12*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - (15*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 8851] -> -6 - 2/a^4 + 6/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   23*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - 28*z^4 - z^4/a^4 + (12*z^4)/a^2 + 26*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8852] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 8853] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - 2/a^4 + 3/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - 
   (8*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 8854] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   3*z^2 + 8*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 8855] -> 
  1 - a^(-4) + 2/a^2 - 3*a^4 + 2*a^6 - 7*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8856] -> -3*a^2 + 9*a^4 - 5*a^6 - 4*z^2 + z^2/a^2 - 
   5*a^2*z^2 + 25*a^4*z^2 - 11*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   29*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 18*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8857] -> -2/a^10 + 10/a^8 - 14/a^6 + 5/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (21*z^2)/a^8 - (27*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (19*z^4)/a^8 - (25*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (14*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8858] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8859] -> 
  1 - a^(-4) + 2/a^2 - 3*a^4 + 2*a^6 - 7*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 8860] -> -3 + 7*a^2 - 2*a^4 - a^6 - z^2/a^4 + 
   10*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 + 2*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 8861] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - 
   z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   12*z^4 + (3*z^4)/a^4 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 8862] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 4*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (8*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8863] -> -6 - 2/a^4 + 6/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   15*z^2 - z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 8864] -> -1 - a^(-4) + 3/a^2 + a^2 - 3*a^4 + 2*a^6 - 
   11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8865] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 19*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8866] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 - 2*z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (29*z^2)/a^6 - 
   (30*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (28*z^4)/a^6 - (34*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 8867] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (28*z^2)/a^4 + (32*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8868] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + 
   (29*z^2)/a^4 - (5*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (46*z^4)/a^4 - (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (35*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 8869] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (28*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (46*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (35*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8870] -> a^(-12) - a^(-10) - 8/a^8 + 13/a^6 - 4/a^4 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 - (8*z^2)/a^8 + (31*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (3*z^4)/a^8 + (29*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (14*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8871] -> 5 - 4/a^6 + 14/a^4 - 15/a^2 + a^2 + 10*z^2 - 
   (8*z^2)/a^6 + (43*z^2)/a^4 - (54*z^2)/a^2 + 6*a^2*z^2 + 2*z^4 - 
   (5*z^4)/a^6 + (44*z^4)/a^4 - (71*z^4)/a^2 + 9*a^2*z^4 - 7*z^6 - z^6/a^6 + 
   (19*z^6)/a^4 - (46*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (15*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 8872] -> -9 + 2/a^2 + 11*a^2 - 3*a^6 - 24*z^2 + 
   (5*z^2)/a^2 + 26*a^2*z^2 + 9*a^4*z^2 - 9*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 
   28*a^2*z^4 + 18*a^4*z^4 - 10*a^6*z^4 - 11*z^6 + z^6/a^2 + 17*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8873] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 5*z^2 - z^2/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8874] -> 
  3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 - 3*z^2 + (6*z^2)/a^8 - (33*z^2)/a^6 + 
   (46*z^2)/a^4 - (11*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (34*z^4)/a^6 + 
   (56*z^4)/a^4 - (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (37*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 8875] -> 
  18 + 3/a^4 - 13/a^2 - 7*a^2 + 60*z^2 + (9*z^2)/a^4 - (43*z^2)/a^2 - 
   22*a^2*z^2 + 90*z^4 + (10*z^4)/a^4 - (58*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 8876] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 18*z^2 - 
   (6*z^2)/a^6 + (31*z^2)/a^4 - (45*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + 
   (52*z^4)/a^4 - (83*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 8877] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (9*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 8878] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 26*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 26*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 29*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8879] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8880] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 
   3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (32*z^2)/a^4 + 
   (17*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - (37*z^4)/a^4 + 
   (24*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8881] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 11/a^6 - 3/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (27*z^2)/a^8 + (33*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (37*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - 
   (6*z^6)/a^8 + (19*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 8882] -> 
  6 - 2/a^6 + 9/a^4 - 12/a^2 + 19*z^2 - (7*z^2)/a^6 + (35*z^2)/a^4 - 
   (50*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + (53*z^4)/a^4 - (84*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 8883] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 
   4*a^2 - 17*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 
   22*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 8884] -> 
  5 - a^(-8) + 3/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 9*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 8885] -> 
  a^(-12) - 3/a^10 + a^(-8) - a^(-6) + 5/a^4 - 2/a^2 - z^2 + z^2/a^12 - 
   (6*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - 
   z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 + (8*z^4)/a^4 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 8886] -> 3 - a^(-10) + 2/a^8 + 2/a^4 - 6/a^2 + a^2 + 
   3*z^2 - z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (12*z^2)/a^2 + 
   2*a^2*z^2 - z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 - (10*z^4)/a^2 + 
   a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 8887] -> 4 + a^(-4) - 4/a^2 - a^2 + 4*a^4 - 3*a^6 + 
   8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 11*a^4*z^2 - 6*a^6*z^2 + 8*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 8888] -> 1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - z^2/a^4 + 
   3*a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   2*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 8889] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 5*a^2 - 
   3*a^4 + a^6 - 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 8890] -> 4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 - 
   4*z^2 + (8*z^2)/a^8 - (44*z^2)/a^6 + (61*z^2)/a^4 - (15*z^2)/a^2 - 8*z^4 + 
   (5*z^4)/a^8 - (44*z^4)/a^6 + (73*z^4)/a^4 - (6*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (19*z^6)/a^6 + (46*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (15*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8891] -> a^(-10) - 2/a^8 - 4/a^6 + 9/a^4 - 3/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 - (3*z^2)/a^6 + (22*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   (23*z^4)/a^4 - (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 8892] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   z^2/a^14 - z^2/a^12 + (10*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (3*z^4)/a^10 - (16*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8893] -> 5/a^12 - 19/a^10 + 20/a^8 - 5/a^6 + 
   (8*z^2)/a^12 - (47*z^2)/a^10 + (62*z^2)/a^8 - (10*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^4)/a^12 - (44*z^4)/a^10 + (75*z^4)/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (19*z^6)/a^10 + (46*z^6)/a^8 + (6*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (15*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 8894] -> 3/a^12 - 10/a^10 + 6/a^8 + 
   4/a^6 - 2/a^4 + (3*z^2)/a^12 - (19*z^2)/a^10 + (16*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (12*z^4)/a^10 + 
   (16*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8895] -> 
  a^(-12) - a^(-10) - 8/a^8 + 13/a^6 - 4/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 - 
   (8*z^2)/a^8 + (31*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (3*z^4)/a^8 + (29*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (14*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8896] -> 
  23 + 4/a^4 - 17/a^2 - 9*a^2 + 79*z^2 + (12*z^2)/a^4 - (57*z^2)/a^2 - 
   29*a^2*z^2 + 118*z^4 + (13*z^4)/a^4 - (76*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + 
   (6*z^6)/a^4 - (50*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 8897] -> 9 + 2/a^4 - 8/a^2 - 2*a^4 + 22*z^2 + 
   (5*z^2)/a^4 - (22*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 25*z^4 + 
   (4*z^4)/a^4 - (23*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 16*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 8898] -> 
  2 + a^(-4) - 2/a^2 + 13*z^2 - (4*z^2)/a^6 + (21*z^2)/a^4 - (31*z^2)/a^2 + 
   24*z^4 - (8*z^4)/a^6 + (44*z^4)/a^4 - (69*z^4)/a^2 + 19*z^6 - 
   (5*z^6)/a^6 + (37*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 8899] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 
   2*z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - (19*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (21*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (13*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 8900] -> 
  -3/a^10 + 15/a^8 - 23/a^6 + 12/a^4 - (10*z^2)/a^10 + (53*z^2)/a^8 - 
   (80*z^2)/a^6 + (34*z^2)/a^4 - (12*z^4)/a^10 + (73*z^4)/a^8 - 
   (120*z^4)/a^6 + (40*z^4)/a^4 - (6*z^6)/a^10 + (49*z^6)/a^8 - 
   (95*z^6)/a^6 + (25*z^6)/a^4 - z^8/a^10 + (16*z^8)/a^8 - (42*z^8)/a^6 + 
   (8*z^8)/a^4 + (2*z^10)/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 8901] -> -2/a^10 + 9/a^8 - 10/a^6 + 4/a^2 - 
   (5*z^2)/a^10 + (24*z^2)/a^8 - (25*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (24*z^4)/a^8 - (28*z^4)/a^6 - (18*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (17*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8902] -> -a^(-10) + 3/a^8 + 3/a^6 - 12/a^4 + 8/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^6 - (32*z^2)/a^4 + (16*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (5*z^4)/a^6 - (37*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (9*z^6)/a^6 - (22*z^6)/a^4 + (6*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8903] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 
   17*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   15*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 8904] -> 
  3 - 15*a^2 + 24*a^4 - 11*a^6 + 10*z^2 - 53*a^2*z^2 + 83*a^4*z^2 - 
   31*a^6*z^2 + 12*z^4 - 73*a^2*z^4 + 121*a^4*z^4 - 39*a^6*z^4 + 6*z^6 - 
   49*a^2*z^6 + 95*a^4*z^6 - 25*a^6*z^6 + z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 8905] -> -3 + a^(-2) - 2*a^2 + 12*a^4 - 7*a^6 - 
   11*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 33*a^4*z^2 - 15*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8906] -> 
  -9 + 2/a^2 + 11*a^2 - 3*a^6 - 24*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 + 
   9*a^4*z^2 - 9*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 + 18*a^4*z^4 - 
   10*a^6*z^4 - 11*z^6 + z^6/a^2 + 17*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 8907] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   13*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (32*z^2)/a^2 + 
   2*a^2*z^2 - 16*z^4 - z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + 
   (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8908] -> 4 - a^(-10) + 4/a^8 - 3/a^6 + a^(-4) - 
   4/a^2 + 6*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (8*z^2)/a^6 - (11*z^2)/a^2 + 
   4*z^4 - z^4/a^10 + (7*z^4)/a^8 - (8*z^4)/a^6 - (3*z^4)/a^4 - 
   (11*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 8909] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 50*z^2 + (7*z^2)/a^4 - (35*z^2)/a^2 - 
   19*a^2*z^2 + 84*z^4 + (9*z^4)/a^4 - (53*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 8910] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (30*z^2)/a^4 - (11*z^2)/a^2 + (8*z^4)/a^8 - 
   (45*z^4)/a^6 + (68*z^4)/a^4 - (24*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + 
   (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 8911] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (17*z^2)/a^4 - (4*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (20*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8912] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 8913] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8914] -> -4 + 11*a^2 - 7*a^4 + a^6 - 5*z^2 - z^2/a^2 + 
   22*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 8915] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 8916] -> 
  -8 - a^(-8) + 5/a^6 - 8/a^4 + 9/a^2 + 4*a^2 - 24*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (22*z^2)/a^4 + (28*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (34*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 8917] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 
   z^2 - z^2/a^2 + 15*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 20*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 8918] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (8*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8919] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 11*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 8*a^2*z^2 + 21*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 8920] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (27*z^2)/a^6 - (32*z^2)/a^4 + (17*z^2)/a^2 - 6*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (37*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 8921] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (29*z^2)/a^6 - (30*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - (34*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 8922] -> 5/a^12 - 19/a^10 + 20/a^8 - 5/a^6 + 
   (8*z^2)/a^12 - (47*z^2)/a^10 + (62*z^2)/a^8 - (10*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^4)/a^12 - (44*z^4)/a^10 + (75*z^4)/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (19*z^6)/a^10 + (46*z^6)/a^8 + (6*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (15*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 8923] -> 3/a^12 - 10/a^10 + 6/a^8 + 
   4/a^6 - 2/a^4 + (3*z^2)/a^12 - (19*z^2)/a^10 + (16*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (12*z^4)/a^10 + 
   (16*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8924] -> 
  4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 - 4*z^2 + (8*z^2)/a^8 - (44*z^2)/a^6 + 
   (61*z^2)/a^4 - (15*z^2)/a^2 - 8*z^4 + (5*z^4)/a^8 - (44*z^4)/a^6 + 
   (73*z^4)/a^4 - (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (19*z^6)/a^6 + 
   (46*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 8925] -> 
  a^(-10) - 2/a^8 - 4/a^6 + 9/a^4 - 3/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 - (3*z^2)/a^6 + (22*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (23*z^4)/a^4 - (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 8926] -> 
  3 - 15*a^2 + 24*a^4 - 11*a^6 + 10*z^2 - 53*a^2*z^2 + 83*a^4*z^2 - 
   31*a^6*z^2 + 12*z^4 - 73*a^2*z^4 + 121*a^4*z^4 - 39*a^6*z^4 + 6*z^6 - 
   49*a^2*z^6 + 95*a^4*z^6 - 25*a^6*z^6 + z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 8927] -> -3 + a^(-2) - 2*a^2 + 12*a^4 - 7*a^6 - 
   11*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 33*a^4*z^2 - 15*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8928] -> 
  3 - a^(-2) - a^2 + 23*z^2 - (5*z^2)/a^2 - 29*a^2*z^2 + 12*a^4*z^2 + 
   45*z^4 - (8*z^4)/a^2 - 68*a^2*z^4 + 24*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 
   67*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 8929] -> 
  6 - 2/a^6 + 9/a^4 - 12/a^2 + 19*z^2 - (7*z^2)/a^6 + (35*z^2)/a^4 - 
   (50*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + (53*z^4)/a^4 - (84*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 8930] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 
   11*z^2 - z^2/a^4 + z^2/a^2 - 19*a^2*z^2 + 8*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 8931] -> 
  -3/a^10 + 15/a^8 - 23/a^6 + 12/a^4 - (10*z^2)/a^10 + (53*z^2)/a^8 - 
   (80*z^2)/a^6 + (34*z^2)/a^4 - (12*z^4)/a^10 + (73*z^4)/a^8 - 
   (120*z^4)/a^6 + (40*z^4)/a^4 - (6*z^6)/a^10 + (49*z^6)/a^8 - 
   (95*z^6)/a^6 + (25*z^6)/a^4 - z^8/a^10 + (16*z^8)/a^8 - (42*z^8)/a^6 + 
   (8*z^8)/a^4 + (2*z^10)/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 8932] -> -2/a^10 + 9/a^8 - 10/a^6 + 4/a^2 - 
   (5*z^2)/a^10 + (24*z^2)/a^8 - (25*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (24*z^4)/a^8 - (28*z^4)/a^6 - (18*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (17*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8933] -> 23 + 4/a^4 - 17/a^2 - 9*a^2 + 79*z^2 + 
   (12*z^2)/a^4 - (57*z^2)/a^2 - 29*a^2*z^2 + 118*z^4 + (13*z^4)/a^4 - 
   (76*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + (6*z^6)/a^4 - (50*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 8934] -> 
  9 + 2/a^4 - 8/a^2 - 2*a^4 + 22*z^2 + (5*z^2)/a^4 - (22*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 25*z^4 + (4*z^4)/a^4 - (23*z^4)/a^2 + 15*a^2*z^4 - 
   9*a^4*z^4 + 16*z^6 + z^6/a^4 - (11*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 8935] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (25*z^4)/a^6 - (13*z^4)/a^4 + 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 8936] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - 
   z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   12*z^4 + (3*z^4)/a^4 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 8937] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8938] -> 
  -6 - a^(-6) + 3/a^4 + a^(-2) + 4*a^2 - 17*z^2 - (3*z^2)/a^6 + 
   (12*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 22*z^4 - (3*z^4)/a^6 + 
   (16*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 8939] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 9*z^2 + z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 8940] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 20*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 8941] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 
   50*z^2 + (7*z^2)/a^4 - (35*z^2)/a^2 - 19*a^2*z^2 + 84*z^4 + (9*z^4)/a^4 - 
   (53*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 8942] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 4*z^2 + z^2/a^2 - 5*a^2*z^2 + 25*a^4*z^2 - 
   11*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + a^2*z^4 + 29*a^4*z^4 - 11*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 6*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 8943] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 11*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (9*z^2)/a^2 - 8*a^2*z^2 + 21*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (13*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 8944] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 26*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 26*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 29*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8945] -> 
  -1 - a^(-10) + 4/a^8 - 3/a^6 + 2*a^2 - 4*z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 8946] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 8947] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (30*z^2)/a^4 - (11*z^2)/a^2 + (8*z^4)/a^8 - 
   (45*z^4)/a^6 + (68*z^4)/a^4 - (24*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + 
   (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 8948] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (17*z^2)/a^4 - (4*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (20*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 8949] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 21*a^2*z^4 + 8*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   14*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 8950] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 10/a^10 - 6/a^8 + 4/a^6 + (5*z^2)/a^14 - 
   (22*z^2)/a^12 + (30*z^2)/a^10 - (19*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   (10*z^4)/a^12 + (30*z^4)/a^10 - (24*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 8951] -> -3 + 2/a^6 - 9/a^4 + 11/a^2 + a^2 - a^4 - 
   7*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 + z^4/a^6 - (12*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8952] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (5*z^2)/a^10 + (22*z^2)/a^8 - 
   (24*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - 
   (40*z^4)/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (31*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 8953] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8954] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 8955] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + (21*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (20*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 8956] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 8957] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 - a^4*z^2 + z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 8958] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 11*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 8959] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (9*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 8960] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (11*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (11*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 8961] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (8*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 8962] -> 6 - a^(-8) + 2/a^6 + 4/a^4 - 10/a^2 + 
   14*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 + (6*z^2)/a^4 - (31*z^2)/a^2 + 
   13*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - (36*z^4)/a^2 + 6*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (7*z^6)/a^4 - (21*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 8963] -> 1 - a^(-8) + 2/a^6 + 3/a^4 - 6/a^2 + 2*a^2 - 
   3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (14*z^2)/a^2 + 
   4*a^2*z^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (13*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 8964] -> 
  -a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 5/a^2 - 5*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 8965] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - z^2/a^14 + (5*z^2)/a^12 - 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 8966] -> -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - 
   z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 8967] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 + 
   9*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 + 
   9*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 8968] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   16*a^2*z^2 + 8*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 24*a^2*z^4 + 
   10*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 8969] -> -1 + a^2 + 4*a^4 - 3*a^6 - 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 8970] -> a^(-14) - 5/a^12 + 11/a^10 - 14/a^8 + 8/a^6 - 
   (5*z^2)/a^12 + (20*z^2)/a^10 - (34*z^2)/a^8 + (26*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + (10*z^4)/a^10 - (30*z^4)/a^8 + (30*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (10*z^6)/a^8 + (16*z^6)/a^6 - z^6/a^2 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 8971] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 8972] -> 
  -2 + a^(-10) - 4/a^8 + 5/a^6 - 5/a^4 + 6/a^2 - 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 8973] -> -5 - a^(-6) + 2/a^4 + a^(-2) + 
   6*a^2 - 2*a^4 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 8974] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 - 
   z^2 + z^2/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^2 - 
   z^4 - (3*z^4)/a^10 + z^4/a^8 + (14*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 8975] -> 
  2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 6*z^2 - (3*z^2)/a^2 + 4*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8976] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 4*z^2 - z^2/a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 
   a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 8977] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (20*z^2)/a^10 - (23*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 - (30*z^4)/a^8 + (26*z^4)/a^6 - (5*z^4)/a^4 + (6*z^6)/a^10 - 
   (18*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 8978] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + 
   (14*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (6*z^4)/a^8 + (19*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 8979] -> -4 - a^(-8) + 2/a^6 + 2/a^4 - 
   2/a^2 + 4*a^2 - 9*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (11*z^2)/a^2 + 6*a^2*z^2 - 8*z^4 - z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (14*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - z^6/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 8980] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 - z^2/a^10 - (11*z^2)/a^8 + 
   (19*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (3*z^4)/a^8 + (18*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8981] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (5*z^2)/a^12 + (15*z^2)/a^10 - 
   (15*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + 
   (12*z^4)/a^6 - z^4/a^2 - (9*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8982] -> 
  3/a^12 - 11/a^10 + 10/a^8 - a^(-6) + (3*z^2)/a^12 - (19*z^2)/a^10 + 
   (19*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (16*z^4)/a^8 + (17*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8983] -> 
  3/a^12 - 11/a^10 + 10/a^8 - a^(-6) + (3*z^2)/a^12 - (19*z^2)/a^10 + 
   (19*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (16*z^4)/a^8 + (17*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8984] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   16*a^2*z^2 + 8*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 24*a^2*z^4 + 
   10*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 8985] -> 8 - a^(-8) + a^(-6) + 8/a^4 - 15/a^2 + 
   16*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 + (9*z^2)/a^4 - (37*z^2)/a^2 + 
   14*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (2*z^4)/a^4 - (39*z^4)/a^2 + 6*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 - (22*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 8986] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - 
   (4*z^2)/a^12 + (10*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + (6*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 8987] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 
   2/a^4 - z^2 + z^2/a^12 - (6*z^2)/a^10 + (6*z^2)/a^8 + (6*z^2)/a^4 - 
   z^2/a^2 - z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 8988] -> -a^(-8) + 2/a^6 + 2/a^4 - 3/a^2 - a^2 + 
   2*a^4 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 8989] -> 3 - a^(-2) - a^2 + 14*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 - 8*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 8990] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 13*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 8991] -> 
  -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 29*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (22*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 29*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8992] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - 
   a^(-2) - 2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 + 
   (4*z^2)/a^4 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 + 
   (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 8993] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 8994] -> 1 - 2/a^4 + 5/a^2 - 7*a^2 + 4*a^4 - 
   4*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 - 20*a^2*z^2 + 10*a^4*z^2 - 10*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 8995] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 - 
   z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 8996] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 9*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + a^8*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 8997] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 4*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 8998] -> 2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 
   3/a^6 + z^2/a^14 - (12*z^2)/a^12 + (24*z^2)/a^10 - (20*z^2)/a^8 + 
   (16*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (30*z^4)/a^8 + 
   (24*z^4)/a^6 - (4*z^4)/a^4 + (6*z^6)/a^10 - (19*z^6)/a^8 + (16*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 8999] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^8 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9000] -> -2/a^4 + 5/a^2 - 3*a^2 - a^4 + 2*a^6 + z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 12*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - z^4/a^4 + 
   (7*z^4)/a^2 - 14*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9001] -> -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 
   39*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (31*z^2)/a^2 + 21*a^2*z^2 - 
   4*a^4*z^2 - 38*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9002] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (10*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 9003] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 6/a^6 - a^(-4) + a^(-2) - (3*z^2)/a^12 + 
   (15*z^2)/a^10 - (25*z^2)/a^8 + (19*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (29*z^4)/a^8 + (23*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (15*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 9004] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) - 
   2*z^2 + (3*z^2)/a^10 - (18*z^2)/a^8 + (29*z^2)/a^6 - (15*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - 
   (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (16*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9005] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - 
   z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^4 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9006] -> -1 - 2/a^8 + 7/a^6 - 8/a^4 + 4/a^2 + a^2 - 
   8*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (27*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (13*z^4)/a^6 - (32*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9007] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 18*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (28*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   24*z^4 + z^4/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9008] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + z^2/a^8 - (3*z^2)/a^6 + (8*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9009] -> -3 + 8*a^2 - 2*a^4 - 4*a^6 + 2*a^8 - 7*z^2 + 
   20*a^2*z^2 - 3*a^4*z^2 - 16*a^6*z^2 + 8*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 
   6*a^4*z^4 - 22*a^6*z^4 + 9*a^8*z^4 - z^6 + 11*a^2*z^6 - 8*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 9010] -> 
  1 - a^(-2) + 3*a^2 - 4*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   8*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9011] -> 
  12 - 4/a^2 - 9*a^2 + a^4 + a^6 + 42*z^2 - (10*z^2)/a^2 - 42*a^2*z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 + 48*z^4 - (6*z^4)/a^2 - 65*a^2*z^4 - 3*a^4*z^4 + 
   11*a^6*z^4 + 21*z^6 - z^6/a^2 - 47*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 + 
   3*z^8 - 16*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - 2*a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 9012] -> 7 - a^(-4) - 7*a^2 + a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 22*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 26*a^2*z^4 + 4*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   15*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9013] -> 2 - 2/a^4 + 4/a^2 - 5*a^2 + a^4 + a^6 - z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 16*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 21*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 13*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 9014] -> -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + 
   24*a^2*z^2 - 17*a^4*z^2 + 3*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 20*a^4*z^4 - 
   9*a^6*z^4 + 7*a^8*z^4 - z^6 + 12*a^2*z^6 - 14*a^4*z^6 - 12*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 9015] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   22*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 - 10*a^2*z^4 + 8*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 9016] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   8*a^4*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 10*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9017] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + 3*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - 
   (22*z^2)/a^4 + (4*z^2)/a^2 + 7*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - 
   (24*z^4)/a^4 - (8*z^4)/a^2 + 5*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (15*z^6)/a^4 - (12*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 9018] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 9019] -> 4/a^12 - 13/a^10 + 11/a^8 - a^(-6) + 
   (14*z^2)/a^12 - (53*z^2)/a^10 + (57*z^2)/a^8 - (11*z^2)/a^6 + 
   (16*z^4)/a^12 - (77*z^4)/a^10 + (98*z^4)/a^8 - (25*z^4)/a^6 + 
   (7*z^6)/a^12 - (53*z^6)/a^10 + (84*z^6)/a^8 - (22*z^6)/a^6 + z^8/a^12 - 
   (17*z^8)/a^10 + (40*z^8)/a^8 - (8*z^8)/a^6 - (2*z^10)/a^10 + 
   (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 9020] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (7*z^2)/a^12 - (24*z^2)/a^10 + 
   (17*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + (5*z^4)/a^12 - (25*z^4)/a^10 + 
   (20*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (14*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 9021] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (5*z^2)/a^12 - (15*z^2)/a^10 + (4*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (18*z^4)/a^10 + (8*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 9022] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + z^4/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9023] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (4*z^2)/a^12 - (10*z^2)/a^10 - 
   (2*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^12 - (16*z^4)/a^10 + 
   (5*z^4)/a^8 + (19*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (8*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 9024] -> a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - 
   (5*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9025] -> 
  -6 + a^(-2) + 10*a^2 - 3*a^4 - a^6 - 20*z^2 + (4*z^2)/a^2 + 26*a^2*z^2 - 
   5*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 + 11*a^4*z^4 - 8*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 16*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9026] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 
   7*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9027] -> -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 + z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (24*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (26*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9028] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 9029] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9030] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 - 3*z^2 + 
   (6*z^2)/a^8 - (30*z^2)/a^6 + (39*z^2)/a^4 - (8*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (47*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (32*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9031] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9032] -> -4 + 10*a^2 - 3*a^4 - 4*a^6 + 
   2*a^8 - 8*z^2 + 23*a^2*z^2 - 5*a^4*z^2 - 14*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 
   23*a^2*z^4 - 8*a^4*z^4 - 20*a^6*z^4 + 9*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   9*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 9033] -> 
  -4 - 2/a^8 + 9/a^6 - 17/a^4 + 15/a^2 - 18*z^2 - z^2/a^8 + (12*z^2)/a^6 - 
   (34*z^2)/a^4 + (40*z^2)/a^2 + 3*a^2*z^2 - 25*z^4 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (41*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + 
   (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 9034] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 8*z^2 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 7*z^4 - 
   z^4/a^2 + a^2*z^4 - 12*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 9035] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + 
   a^(-2) - 3*z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (9*z^4)/a^4 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9036] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + 
   a^(-2) + z^2 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9037] -> -a^(-18) + 6/a^16 - 10/a^14 + a^(-12) + 
   5/a^10 - z^2/a^18 + (12*z^2)/a^16 - (34*z^2)/a^14 + (14*z^2)/a^12 + 
   (20*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (32*z^4)/a^14 + 
   (29*z^4)/a^12 + (29*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9038] -> 
  -4 - 2/a^4 + 6/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 16*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9039] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9040] -> 
  2 - 2/a^4 + 4/a^2 - 5*a^2 + a^4 + a^6 - 4*z^2 - z^2/a^6 + z^2/a^4 + 
   (8*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 9*a^2*z^4 + a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 9041] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 
   2*a^4 - 4*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 - z^4/a^4 + (8*z^4)/a^2 - 15*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9042] -> 
  -2 + 5*a^2 - a^4 - a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 9043] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (8*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 9044] -> 
  -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 7*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (19*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (19*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9045] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - z^2/a^4 + (2*z^2)/a^2 - 16*a^2*z^2 + 
   7*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 21*a^2*z^4 + 8*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 9046] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + (21*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (20*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9047] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9048] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 - a^4*z^2 + z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 9049] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 9050] -> 3 - a^(-4) + a^(-2) - 2*a^2 - 
   a^4 + a^6 - z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - 12*z^4 - z^4/a^4 + (11*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9051] -> 
  -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 7*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9052] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 9053] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + z^2/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - 
   (24*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9054] -> 2 - a^(-4) + a^(-2) - a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9055] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 + a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9056] -> 
  3 - a^(-6) + 2/a^4 - 7*a^2 + 4*a^4 + 4*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 - 12*a^2*z^4 + 4*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 9057] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 5*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9058] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 10/a^6 - 6/a^4 + 3/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (20*z^2)/a^8 + (25*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (23*z^4)/a^6 - (14*z^4)/a^4 - 
   z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9059] -> 
  -2 + a^(-10) - 5/a^8 + 9/a^6 - 10/a^4 + 8/a^2 - 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (20*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 + z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9060] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (13*z^2)/a^10 - (15*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (6*z^4)/a^10 - (14*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 9061] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 
   a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 9062] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 
   z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9063] -> -1 - a^(-8) + 3/a^6 - a^(-4) - 
   a^(-2) + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9064] -> -12 - 2/a^4 + 7/a^2 + 15*a^2 - 9*a^4 + 
   2*a^6 - 31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 35*a^2*z^2 - 19*a^4*z^2 + 
   4*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 35*a^2*z^4 - 18*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9065] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (9*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9066] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9067] -> 
  -1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 4/a^2 + a^2 - 5*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9068] -> -a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 5/a^2 - 
   5*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9069] -> 4 - a^(-6) + 2/a^4 - a^(-2) - 5*a^2 + a^4 + 
   a^6 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 8*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 9070] -> 3 + a^(-4) - 4/a^2 + 3*a^2 - a^4 - a^6 + 
   3*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 11*a^2*z^2 - 3*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 14*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 9071] -> -2 + a^2 + 11*a^4 - 13*a^6 + 4*a^8 - 7*z^2 + 
   13*a^2*z^2 + 16*a^4*z^2 - 28*a^6*z^2 + 10*a^8*z^2 - 5*z^4 + 20*a^2*z^4 + 
   3*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 9072] -> 
  -4 + 10*a^2 - 3*a^4 - 4*a^6 + 2*a^8 - z^2 - (2*z^2)/a^2 + 17*a^2*z^2 - 
   9*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   11*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9073] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 + 5*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   15*a^4*z^4 - a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 9*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9074] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 7*z^2 - 
   z^2/a^4 - a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 9075] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 7/a^6 - (5*z^2)/a^12 + 
   (19*z^2)/a^10 - (28*z^2)/a^8 + (20*z^2)/a^6 - z^2/a^4 + (10*z^4)/a^10 - 
   (25*z^4)/a^8 + (20*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (9*z^6)/a^8 + 
   (10*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9076] -> -2/a^18 + 11/a^16 - 19/a^14 + 8/a^12 + 
   3/a^10 - z^2/a^18 + (16*z^2)/a^16 - (48*z^2)/a^14 + (28*z^2)/a^12 + 
   (17*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (38*z^4)/a^14 + (39*z^4)/a^12 + 
   (29*z^4)/a^10 + (4*z^4)/a^8 - (9*z^6)/a^14 + (24*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 9077] -> -a^(-18) + 5/a^16 - 6/a^14 - 4/a^12 + 
   7/a^10 + (5*z^2)/a^16 - (15*z^2)/a^14 - (4*z^2)/a^12 + (21*z^2)/a^10 + 
   (5*z^2)/a^8 - (9*z^4)/a^14 + (5*z^4)/a^12 + (23*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + (5*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 9078] -> -8 - a^(-8) + 4/a^6 - 6/a^4 + 8/a^2 + 4*a^2 - 
   19*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 + 
   6*a^2*z^2 - 18*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (20*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9079] -> -a^(-12) + 5/a^10 - 11/a^8 + 11/a^6 - 5/a^4 + 
   2/a^2 + z^2 + (5*z^2)/a^10 - (20*z^2)/a^8 + (30*z^2)/a^6 - (16*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - (10*z^4)/a^8 + (27*z^4)/a^6 - (20*z^4)/a^4 + 
   z^4/a^2 + z^6 + (9*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9080] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 
   3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - z^4/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 9081] -> 3/a^10 - 9/a^8 + 7/a^6 + 
   (2*z^2)/a^12 - z^2/a^10 - (15*z^2)/a^8 + (21*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 - (7*z^4)/a^8 + (25*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 9082] -> a^(-12) - 3/a^10 + 4/a^8 - 5/a^6 + 4/a^4 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9083] -> -11 - 2/a^4 + 7/a^2 + 14*a^2 - 10*a^4 + 
   3*a^6 - 29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 32*a^2*z^2 - 22*a^4*z^2 + 
   6*a^6*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 32*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9084] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 2*a^2 - a^4 + a^6 + 7*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9085] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9086] -> 2/a^10 - 6/a^8 + a^(-6) + 7/a^4 - 
   3/a^2 - 2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + 
   (12*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (19*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (4*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 9087] -> 
  -2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^2 - 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9088] -> 
  -10 - a^(-6) + a^(-4) + 5/a^2 + 8*a^2 - 2*a^4 - 20*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 9089] -> -2/a^18 + 11/a^16 - 19/a^14 + 8/a^12 + 
   3/a^10 - z^2/a^18 + (16*z^2)/a^16 - (47*z^2)/a^14 + (27*z^2)/a^12 + 
   (16*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (37*z^4)/a^14 + 
   (37*z^4)/a^12 + (27*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (23*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9090] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 4/a^12 + 7/a^10 + (5*z^2)/a^16 - 
   (15*z^2)/a^14 - (3*z^2)/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (6*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 9091] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (2*z^2)/a^12 - (13*z^2)/a^10 + (12*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (14*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9092] -> -6 - a^(-8) + 3/a^6 - 2/a^4 + 3/a^2 + 4*a^2 - 
   18*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 18*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9093] -> -3 + 6*a^2 + 2*a^4 - 6*a^6 + 2*a^8 - 4*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   8*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9094] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   6*z^4 - z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9095] -> 
  -a^(-6) + 3/a^4 - 3/a^2 + 4*a^2 - 2*a^4 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 9096] -> 
  9 + a^(-6) - 2/a^4 - 3/a^2 - 4*a^2 + 20*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 21*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 9097] -> -2 - a^(-8) + 3/a^6 - 2/a^4 + 2/a^2 - a^2 + 
   2*a^4 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9098] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9099] -> 
  -2 + 2*a^2 + 6*a^4 - 6*a^6 + a^8 - 3*z^2 - z^2/a^2 + 8*a^2*z^2 + 
   8*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 6*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9100] -> 
  3/a^10 - 12/a^8 + 14/a^6 - 5/a^4 + a^(-2) - 2*z^2 + (3*z^2)/a^10 - 
   (21*z^2)/a^8 + (36*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (35*z^4)/a^6 - (26*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9101] -> 3/a^10 - 12/a^8 + 14/a^6 - 5/a^4 + a^(-2) - 
   2*z^2 + (3*z^2)/a^10 - (21*z^2)/a^8 + (36*z^2)/a^6 - (19*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (13*z^4)/a^8 + (35*z^4)/a^6 - 
   (26*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - 
   (17*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9102] -> -4 + a^(-2) + 2*a^2 + 7*a^4 - 
   5*a^6 - 12*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 22*a^4*z^2 - 11*a^6*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 28*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 9103] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 - 3*z^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (30*z^2)/a^6 - (28*z^2)/a^4 + (15*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (35*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9104] -> -10 + 2/a^2 + 15*a^2 - 5*a^4 - a^6 - 25*z^2 + 
   (5*z^2)/a^2 + 32*a^2*z^2 - 6*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 + 
   13*a^4*z^4 - 9*a^6*z^4 - 11*z^6 + z^6/a^2 + 17*a^2*z^6 + 14*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9105] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 9106] -> 
  -2/a^8 + 9/a^6 - 13/a^4 + 7/a^2 + 4*z^2 - (5*z^2)/a^8 + (23*z^2)/a^6 - 
   (28*z^2)/a^4 + (4*z^2)/a^2 + 8*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (27*z^4)/a^4 - (10*z^4)/a^2 + 5*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (16*z^6)/a^4 - (13*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 9107] -> 
  -10 + 2/a^2 + 15*a^2 - 5*a^4 - a^6 - 25*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 
   6*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 + 13*a^4*z^4 - 9*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 17*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9108] -> -a^(-16) + 6/a^14 - 12/a^12 + 9/a^10 - 
   4/a^8 + 3/a^6 + (5*z^2)/a^14 - (22*z^2)/a^12 + (27*z^2)/a^10 - 
   (12*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (10*z^4)/a^12 + (27*z^4)/a^10 - 
   (15*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (9*z^6)/a^10 - (10*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9109] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 - 3*a^2 + 2*a^4 + 4*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 9110] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 7/a^6 - (5*z^2)/a^12 + 
   (19*z^2)/a^10 - (29*z^2)/a^8 + (21*z^2)/a^6 - z^2/a^2 + (10*z^4)/a^10 - 
   (26*z^4)/a^8 + (22*z^4)/a^6 - (2*z^4)/a^2 - (9*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9111] -> 
  a^(-12) - 4/a^10 + 4/a^8 + a^(-6) - 4/a^4 + 3/a^2 - z^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (7*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9112] -> -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 
   2*a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 4*z^4 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 9113] -> a^(-12) - 3/a^10 + 3/a^8 - a^(-6) - a^(-4) + 
   2/a^2 - z^2 + z^2/a^12 - (4*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^2 + z^6/a^8 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 9114] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9115] -> -2 + 2/a^6 - 9/a^4 + 11/a^2 - a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 - a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9116] -> 
  1 - 2/a^4 + 4/a^2 - 4*a^2 + 2*a^4 - 6*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (11*z^4)/a^2 - 
   6*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9117] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9118] -> 
  -6 - 2/a^4 + 6/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9119] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   6*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 9120] -> 
  -4 + 12*a^2 - 7*a^4 - 2*a^6 + 2*a^8 - 8*z^2 + 26*a^2*z^2 - 15*a^4*z^2 - 
   7*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 24*a^2*z^4 - 16*a^4*z^4 - 11*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 11*a^2*z^6 - 11*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 9121] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9122] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 - 3*z^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (30*z^2)/a^6 - (28*z^2)/a^4 + (15*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (35*z^4)/a^4 + (24*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9123] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9124] -> 
  5 - 2/a^2 - 2*a^2 + 2*a^4 - 4*a^6 + 2*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9125] -> -a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 4/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (17*z^2)/a^6 - 
   (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (18*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9126] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9127] -> 
  -6 - a^(-4) + 3/a^2 + 12*a^2 - 10*a^4 + 3*a^6 - 19*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 30*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 33*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9128] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - 
   a^(-2) - 2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 + 
   (4*z^2)/a^4 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 + 
   (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9129] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9130] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9131] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 15*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9132] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (17*z^2)/a^6 - (24*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9133] -> 2 - a^(-4) + a^(-2) - a^2 - 
   3*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9134] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 + a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9135] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 3*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9136] -> 
  -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 8*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9137] -> 1 - a^(-2) + 2*a^2 - a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9138] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 8*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (23*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   7*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 9139] -> -a^(-6) + 2/a^4 - a^4 + a^6 - 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9140] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 9141] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - 
   a^(-2) - a^2 + 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   a^4*z^2 + z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9142] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9143] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 12*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9144] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 2*a^2 - a^4 + 
   a^6 + 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 9145] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9146] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 9147] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9148] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + a^8*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 9149] -> -a^(-4) + 2/a^2 + 2*a^4 - 4*a^6 + 2*a^8 - 
   z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 3*a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 9150] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9151] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + (4*z^2)/a^10 - (14*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + 
   (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9152] -> -3/a^14 + 14/a^12 - 21/a^10 + 9/a^8 + 2/a^6 - 
   (7*z^2)/a^14 + (36*z^2)/a^12 - (56*z^2)/a^10 + (23*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^4)/a^14 + (38*z^4)/a^12 - (63*z^4)/a^10 + 
   (17*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (40*z^6)/a^10 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 9153] -> 
  -2/a^14 + 8/a^12 - 9/a^10 + 3/a^6 + a^(-4) - (3*z^2)/a^14 + (15*z^2)/a^12 - 
   (17*z^2)/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (13*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9154] -> 
  -a^(-4) + 2/a^2 - (4*z^2)/a^10 + (15*z^2)/a^8 - (13*z^2)/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - (32*z^4)/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 9155] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 9156] -> -1 + a^(-10) - 2/a^8 - 4/a^6 + 8/a^4 - 
   a^(-2) - 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 - z^2/a^6 + (17*z^2)/a^4 - 
   z^2/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + (11*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9157] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   7*z^2 + z^2/a^6 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9158] -> -2/a^10 + 8/a^8 - 12/a^6 + 7/a^4 - 
   (5*z^2)/a^10 + (25*z^2)/a^8 - (35*z^2)/a^6 + (15*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^10 + (29*z^4)/a^8 - (46*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (32*z^6)/a^6 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 9159] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (21*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 9160] -> 9 + a^(-6) - 3/a^4 - 2/a^2 - 
   3*a^2 - a^4 + 18*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9161] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9162] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 
   2/a^4 + 3/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - 
   (12*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9163] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 6*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (17*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (15*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 9164] -> -2/a^18 + 11/a^16 - 18/a^14 + 
   6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - (45*z^2)/a^14 + 
   (21*z^2)/a^12 + (20*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (36*z^4)/a^14 + 
   (31*z^4)/a^12 + (33*z^4)/a^10 + (3*z^4)/a^8 - (9*z^6)/a^14 + 
   (21*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9165] -> 
  -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9166] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 
   2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (15*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 9167] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9168] -> 
  -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 25*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 27*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 9169] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (4*z^2)/a^12 - 
   (18*z^2)/a^10 + (20*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - 
   (26*z^4)/a^10 + (38*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (30*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 9170] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9171] -> -3 + a^(-10) - 3/a^8 + a^(-6) - a^(-4) + 
   6/a^2 - 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + 
   (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9172] -> 
  -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 6/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (39*z^2)/a^14 + (13*z^2)/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (34*z^4)/a^14 + (28*z^4)/a^12 + (29*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9173] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 - 
   (9*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (3*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9174] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - z^2/a^14 + (2*z^2)/a^12 - (4*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9175] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (30*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (40*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9176] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 9177] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^10 + (7*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 - 
   z^2/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - (22*z^4)/a^6 + (10*z^4)/a^4 - 
   z^6/a^10 + (12*z^6)/a^8 - (21*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (2*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 9178] -> -2 + 2/a^6 - 9/a^4 + 11/a^2 - 
   a^2 - 5*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 - a^4*z^2 - 
   7*z^4 + z^4/a^6 - (12*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   7*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9179] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 9180] -> 
  3 - a^(-2) - a^2 + 14*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - 8*a^2*z^2 + 
   24*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9181] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + a^(-12) + 5/a^10 - z^2/a^18 + (12*z^2)/a^16 - 
   (34*z^2)/a^14 + (14*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (32*z^4)/a^14 + (29*z^4)/a^12 + (29*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9182] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - (5*z^2)/a^6 + (25*z^2)/a^4 - 
   (27*z^2)/a^2 + 6*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - 
   (44*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 9183] -> 
  4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + (12*z^2)/a^8 - (51*z^2)/a^6 + 
   (65*z^2)/a^4 - (22*z^2)/a^2 + (13*z^4)/a^8 - (68*z^4)/a^6 + (96*z^4)/a^4 - 
   (30*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + (76*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 9184] -> 
  3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 - 5*z^2 + (6*z^2)/a^8 - (24*z^2)/a^6 + 
   (24*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + 
   (22*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 9185] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   16*a^2*z^2 + 8*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 24*a^2*z^4 + 
   10*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 9186] -> 4/a^8 - 16/a^6 + 19/a^4 - 6/a^2 - z^2 + 
   (6*z^2)/a^8 - (33*z^2)/a^6 + (47*z^2)/a^4 - (14*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (52*z^4)/a^4 - (10*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (33*z^6)/a^4 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 9187] -> 
  3/a^12 - 10/a^10 + 8/a^8 + (5*z^2)/a^12 - (26*z^2)/a^10 + (31*z^2)/a^8 - 
   (3*z^2)/a^6 + (4*z^4)/a^12 - (28*z^4)/a^10 + (44*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (31*z^6)/a^8 - (3*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 9188] -> 1 - a^(-2) + a^2 + 4*a^4 - 
   6*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 
   3*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9189] -> 
  -5 - a^(-8) + 5/a^6 - 11/a^4 + 12/a^2 + a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (25*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9190] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (12*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (11*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9191] -> 
  2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 4*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (34*z^2)/a^4 - (5*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (46*z^4)/a^4 + (2*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (34*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 9192] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (21*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 9193] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 7*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 8*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 9194] -> 
  -a^(-18) + 6/a^16 - 11/a^14 + 5/a^12 + 2/a^8 + (5*z^2)/a^16 - 
   (19*z^2)/a^14 + (10*z^2)/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (11*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + (5*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 9195] -> 1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 + 
   2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - 
   z^4/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (19*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 9196] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9197] -> 
  -2/a^6 + 3/a^4 - z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 
   3*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + (20*z^4)/a^4 - z^4/a^2 - 3*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (20*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9198] -> -2 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + 
   2*a^2 - 10*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9199] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 9*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9200] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   3*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - a^4*z^2 + 
   z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9201] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9202] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (20*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9203] -> 2 - a^(-6) + 2/a^4 - 3*a^2 - a^4 + 2*a^6 - 
   z^2/a^6 + (3*z^2)/a^4 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^4 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 9204] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   a^2*z^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9205] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 6*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   6*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 9206] -> -3 + a^(-8) - 4/a^6 + 3/a^4 + 3/a^2 + a^2 - 
   10*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 12*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 9207] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9208] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (17*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - 
   (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9209] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 
   3*a^2 - 12*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 13*z^4 - z^4/a^6 + (6*z^4)/a^4 - 2*a^2*z^4 + 3*a^4*z^4 - 
   8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 9210] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9211] -> 
  5 - a^(-4) - 4*a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - 8*z^4 - z^4/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9212] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9213] -> 
  -2 + 6*a^2 - 3*a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9214] -> 2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   z^2 - z^2/a^2 + 10*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9215] -> 
  5 - 2/a^2 - 4*a^2 + 6*a^4 - 6*a^6 + 2*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9216] -> -2 + 2/a^10 - 9/a^8 + 14/a^6 - 12/a^4 + 
   8/a^2 - 6*z^2 + z^2/a^10 - (12*z^2)/a^8 + (31*z^2)/a^6 - (34*z^2)/a^4 + 
   (24*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (37*z^4)/a^4 + 
   (29*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9217] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + (2*z^4)/a^2 - a^2*z^4 - 
   7*a^4*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 9218] -> a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) - z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9219] -> -a^(-18) + 6/a^16 - 11/a^14 + 5/a^12 + 
   2/a^8 + (5*z^2)/a^16 - (19*z^2)/a^14 + (10*z^2)/a^12 + (7*z^2)/a^10 + 
   (8*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + (11*z^4)/a^12 + (13*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 9220] -> -2 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 3*a^4 + 2*a^6 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 9221] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 2/a^2 + 4*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9222] -> -1 - a^(-6) + 2/a^4 + a^(-2) - 2*a^2 + 
   2*a^4 - 4*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 9223] -> a^(-12) - 2/a^10 + 2/a^4 - z^2 + z^2/a^12 - 
   (3*z^2)/a^10 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9224] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + (6*z^2)/a^10 - (22*z^2)/a^8 + 
   (22*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (13*z^4)/a^8 + (24*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (14*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9225] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (12*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (31*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 9226] -> a^(-12) - 4/a^10 + 5/a^8 - 
   4/a^6 + 3/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9227] -> -2 + a^(-10) - 4/a^8 + 5/a^6 - 5/a^4 + 
   6/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + 
   (14*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (20*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9228] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9229] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9230] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 8*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (20*z^2)/a^4 + (23*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 7*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + 
   (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 9231] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (12*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (31*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 9232] -> a^(-12) - 4/a^10 + 5/a^8 - 
   4/a^6 + 3/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9233] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 3*z^2 + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (28*z^2)/a^4 - (4*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (39*z^4)/a^4 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9234] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 13*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 14*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 9235] -> -5 - 2/a^8 + 9/a^6 - 16/a^4 + 14/a^2 + a^2 - 
   14*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + (32*z^2)/a^2 + 
   3*a^2*z^2 - 16*z^4 - z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + 
   (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9236] -> -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 
   32*z^2 + (3*z^2)/a^6 - (20*z^2)/a^4 + (42*z^2)/a^2 + 10*a^2*z^2 - 
   a^4*z^2 - 34*z^4 + z^4/a^6 - (13*z^4)/a^4 + (37*z^4)/a^2 + 13*a^2*z^4 - 
   2*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9237] -> 
  2 - a^(-4) + a^(-2) - a^2 + 17*z^2 + (3*z^2)/a^4 - (13*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 35*z^4 + (4*z^4)/a^4 - (26*z^4)/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 31*z^6 + z^6/a^4 - (16*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 
   13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 9238] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 12*z^2 + 
   z^2/a^6 - (8*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 16*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 9239] -> -a^(-12) + 5/a^10 - 11/a^8 + 11/a^6 - 5/a^4 + 
   2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (22*z^2)/a^8 + (29*z^2)/a^6 - 
   (16*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (30*z^4)/a^6 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9240] -> -2/a^18 + 11/a^16 - 19/a^14 + 8/a^12 + 
   3/a^10 - z^2/a^18 + (16*z^2)/a^16 - (47*z^2)/a^14 + (27*z^2)/a^12 + 
   (16*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (37*z^4)/a^14 + 
   (37*z^4)/a^12 + (27*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (23*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9241] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - 
   (17*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 - (4*z^4)/a^6 + (28*z^4)/a^4 - 
   (37*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + (16*z^6)/a^4 - (32*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 9242] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 9243] -> 5/a^8 - 19/a^6 + 22/a^4 - 7/a^2 + 
   (13*z^2)/a^8 - (55*z^2)/a^6 + (70*z^2)/a^4 - (23*z^2)/a^2 + (13*z^4)/a^8 - 
   (69*z^4)/a^6 + (97*z^4)/a^4 - (30*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (76*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 9244] -> -2 + 3/a^8 - 10/a^6 + 8/a^4 + 2/a^2 - 6*z^2 + 
   (6*z^2)/a^8 - (23*z^2)/a^6 + (20*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (21*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9245] -> -2/a^6 + 3/a^4 - z^2 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (16*z^4)/a^6 + (20*z^4)/a^4 - z^4/a^2 - 3*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (20*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 9246] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (19*z^2)/a^4 + z^2/a^2 - 8*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (32*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 9247] -> 
  -1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 + a^2 - 5*z^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (12*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9248] -> -1 + a^(-8) - 5/a^6 + 7/a^4 - 2/a^2 + a^2 - 
   4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9249] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 
   27*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 9250] -> 
  2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) - 2*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (22*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - (18*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9251] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 7*z^4 - 
   z^4/a^2 - a^2*z^4 - 10*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9252] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 16*a^2*z^2 + 8*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 9253] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (9*z^4)/a^6 + 
   (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 9254] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2 - (7*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9255] -> -7 - 3/a^4 + 9/a^2 + 2*a^2 - a^4 + a^6 - 
   26*z^2 - (4*z^2)/a^4 + (21*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 
   32*z^4 - z^4/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9256] -> 
  -5 - a^(-6) + a^(-4) + 4/a^2 + 2*a^2 - a^4 + a^6 - 10*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9257] -> 2/a^10 - 10/a^8 + 17/a^6 - 13/a^4 + 5/a^2 - 
   2*z^2 + z^2/a^10 - (13*z^2)/a^8 + (37*z^2)/a^6 - (38*z^2)/a^4 + 
   (17*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (26*z^4)/a^6 - (42*z^4)/a^4 + 
   (23*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9258] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 9/a^6 + z^2/a^14 - (10*z^2)/a^12 + 
   (30*z^2)/a^10 - (40*z^2)/a^8 + (25*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (40*z^4)/a^8 + (28*z^4)/a^6 - (5*z^4)/a^4 + (6*z^6)/a^10 - 
   (20*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 9259] -> 
  -3/a^18 + 16/a^16 - 28/a^14 + 15/a^12 + a^(-10) - (4*z^2)/a^18 + 
   (35*z^2)/a^16 - (89*z^2)/a^14 + (63*z^2)/a^12 + (8*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (95*z^4)/a^14 + (98*z^4)/a^12 + (18*z^4)/a^10 + 
   (4*z^6)/a^16 - (41*z^6)/a^14 + (71*z^6)/a^12 + (17*z^6)/a^10 - 
   (6*z^8)/a^14 + (24*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 9260] -> -2/a^18 + 10/a^16 - 15/a^14 + 3/a^12 + 
   5/a^10 - z^2/a^18 + (13*z^2)/a^16 - (33*z^2)/a^14 + (8*z^2)/a^12 + 
   (23*z^2)/a^10 + (2*z^2)/a^8 + (4*z^4)/a^16 - (25*z^4)/a^14 + 
   (15*z^4)/a^12 + (34*z^4)/a^10 + (5*z^4)/a^8 - (6*z^6)/a^14 + 
   (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9261] -> 
  -a^(-18) + 4/a^16 - 2/a^14 - 9/a^12 + 9/a^10 - z^2/a^18 + (9*z^2)/a^16 - 
   (16*z^2)/a^14 - (13*z^2)/a^12 + (30*z^2)/a^10 + (2*z^2)/a^8 + 
   (4*z^4)/a^16 - (19*z^4)/a^14 + (2*z^4)/a^12 + (37*z^4)/a^10 + 
   (5*z^4)/a^8 - (6*z^6)/a^14 + (9*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9262] -> 
  -4 + 14*a^2 - 15*a^4 + 8*a^6 - 2*a^8 - 8*z^2 + 31*a^2*z^2 - 33*a^4*z^2 + 
   14*a^6*z^2 - a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 31*a^4*z^4 + 3*a^6*z^4 + 
   4*a^8*z^4 - z^6 + 12*a^2*z^6 - 17*a^4*z^6 - 7*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 9263] -> -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 
   36*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 20*a^2*z^2 - 2*a^4*z^2 - 34*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 7*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 9264] -> 
  6/a^8 - 23/a^6 + 27/a^4 - 9/a^2 + (17*z^2)/a^8 - (73*z^2)/a^6 + 
   (94*z^2)/a^4 - (32*z^2)/a^2 + (17*z^4)/a^8 - (91*z^4)/a^6 + 
   (130*z^4)/a^4 - (40*z^4)/a^2 + (7*z^6)/a^8 - (56*z^6)/a^6 + (97*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 9265] -> -2 + 4/a^8 - 14/a^6 + 13/a^4 - 9*z^2 + 
   (8*z^2)/a^8 - (31*z^2)/a^6 + (27*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^8 - (28*z^4)/a^6 + (26*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (16*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9266] -> -4 + 2/a^8 - 5/a^6 - a^(-4) + 9/a^2 - 
   10*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + (4*z^2)/a^4 + (21*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (10*z^4)/a^4 + (24*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9267] -> -a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^10 + 
   (16*z^2)/a^8 - (16*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (28*z^4)/a^8 - (36*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (16*z^6)/a^8 - (32*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 9268] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9269] -> 
  3 - 3/a^6 + 10/a^4 - 10/a^2 + a^2 + 4*z^2 - (5*z^2)/a^6 + (28*z^2)/a^4 - 
   (34*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - 
   (47*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 9270] -> 
  20 - 6/a^2 - 19*a^2 + 5*a^4 + a^6 + 52*z^2 - (11*z^2)/a^2 - 59*a^2*z^2 + 
   9*a^4*z^2 + 7*a^6*z^2 + 51*z^4 - (6*z^4)/a^2 - 75*a^2*z^4 - a^4*z^4 + 
   11*a^6*z^4 + 21*z^6 - z^6/a^2 - 49*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 + 
   3*z^8 - 16*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - 2*a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 9271] -> 6 - 2/a^4 + 3/a^2 - 10*a^2 + 3*a^4 + a^6 + 
   6*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 26*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 
   4*z^4 - z^4/a^4 + (11*z^4)/a^2 - 28*a^2*z^4 + 4*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 15*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 9272] -> -3 - 3/a^4 + 8/a^2 - 3*a^2 + a^4 + 
   a^6 - 8*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 - 16*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - 12*z^4 - z^4/a^4 + (14*z^4)/a^2 - 24*a^2*z^4 + 4*a^6*z^4 - 
   9*z^6 + (3*z^6)/a^2 - 15*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 
   3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9273] -> 
  -1 - a^(-6) + a^(-4) + 3/a^2 - 3*a^2 + a^4 + a^6 - 8*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - 9*a^2*z^4 + a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 9274] -> 6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 
   11*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 8*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9275] -> 5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 7*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 9276] -> 3/a^10 - 10/a^8 + 8/a^6 + a^(-4) - a^(-2) + 
   (7*z^2)/a^10 - (28*z^2)/a^8 + (25*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 
   (5*z^4)/a^10 - (29*z^4)/a^8 + (29*z^4)/a^6 + (18*z^4)/a^4 - (11*z^4)/a^2 + 
   z^6/a^10 - (13*z^6)/a^8 + (19*z^6)/a^6 + (17*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (7*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 9277] -> 2/a^10 - 6/a^8 + 3/a^6 + 3/a^4 - a^(-2) - 
   2*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (15*z^4)/a^4 + z^4/a^2 - z^6 - (2*z^6)/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9278] -> a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) - 
   2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + (12*z^2)/a^4 - 
   z^2/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + (13*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 9279] -> 
  4 - 19*a^2 + 29*a^4 - 13*a^6 + 14*z^2 - 67*a^2*z^2 + 99*a^4*z^2 - 
   36*a^6*z^2 + 16*z^4 - 87*a^2*z^4 + 134*a^4*z^4 - 41*a^6*z^4 + 7*z^6 - 
   55*a^2*z^6 + 98*a^4*z^6 - 25*a^6*z^6 + z^8 - 17*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 9280] -> -2 + a^(-2) - 6*a^2 + 17*a^4 - 9*a^6 - 
   12*z^2 + (4*z^2)/a^2 - 6*a^2*z^2 + 40*a^4*z^2 - 17*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + 40*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 9281] -> 
  -8 + 2/a^2 + 7*a^2 + 5*a^4 - 5*a^6 - 20*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 + 
   21*a^4*z^2 - 12*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 + 27*a^4*z^4 - 
   11*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9282] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 10*z^2 - 
   z^2/a^6 - (5*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^4 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + (12*z^6)/a^4 - (15*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 9283] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 9284] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 9285] -> -a^(-12) + 7/a^10 - 17/a^8 + 
   16/a^6 - 5/a^4 + a^(-2) - z^2/a^12 + (10*z^2)/a^10 - (33*z^2)/a^8 + 
   (42*z^2)/a^6 - (18*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (23*z^4)/a^8 + 
   (42*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (20*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9286] -> -11 + 2/a^2 + 19*a^2 - 10*a^4 + 
   a^6 - 27*z^2 + (5*z^2)/a^2 + 42*a^2*z^2 - 14*a^4*z^2 - a^6*z^2 - 25*z^4 + 
   (4*z^4)/a^2 + 38*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   19*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 9287] -> 
  -1 - 3*a^2 + 16*a^4 - 15*a^6 + 4*a^8 - 4*z^2 - 2*a^2*z^2 + 36*a^4*z^2 - 
   34*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 27*a^4*z^4 - 32*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 8*a^2*z^6 + 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 9288] -> -3 + 6*a^2 + 2*a^4 - 6*a^6 + 2*a^8 - 4*z^2 - 
   z^2/a^2 + 14*a^2*z^2 + 2*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 9289] -> 7 + a^(-4) - 5/a^2 - 2*a^2 + a^4 - 
   a^6 + 13*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + 10*z^4 + z^4/a^4 - (7*z^4)/a^2 + 7*a^4*z^4 - 3*a^6*z^4 + 
   4*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 9290] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 - 2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - 
   (17*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 9291] -> 
  -6 - a^(-8) + 3/a^6 - 2/a^4 + 3/a^2 + 4*a^2 - 18*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9292] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9293] -> 
  -8 + 2/a^2 + 7*a^2 + 5*a^4 - 5*a^6 - 12*z^2 + z^2/a^4 + 14*a^2*z^2 + 
   12*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 + 
   10*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 9294] -> 
  -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 7*z^2 + 16*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   2*z^4 - z^4/a^2 + 16*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + a^8*z^4 + 2*z^6 + 
   5*a^2*z^6 - 6*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9295] -> -3 + 5*a^2 + 6*a^4 - 11*a^6 + 4*a^8 - 7*z^2 + 
   16*a^2*z^2 + 9*a^4*z^2 - 24*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   24*a^6*z^4 + 9*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 15*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 9296] -> -a^(-2) + 5*a^2 - a^4 - 4*a^6 + 
   2*a^8 + 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 8*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9297] -> 
  3 - 2/a^2 + 5*a^2 - 8*a^4 + 3*a^6 + 8*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   16*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 - 
   15*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 8*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9298] -> -2/a^18 + 10/a^16 - 15/a^14 + 3/a^12 + 
   5/a^10 - z^2/a^18 + (15*z^2)/a^16 - (41*z^2)/a^14 + (18*z^2)/a^12 + 
   (19*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (35*z^4)/a^14 + 
   (32*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9299] -> 
  -8 - 2/a^4 + 7/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 21*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9300] -> 
  -2/a^18 + 10/a^16 - 15/a^14 + 3/a^12 + 5/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (41*z^2)/a^14 + (18*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (35*z^4)/a^14 + (32*z^4)/a^12 + (28*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9301] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 2/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (16*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 9302] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 7*z^2 + 
   (4*z^2)/a^8 - (14*z^2)/a^6 + (7*z^2)/a^4 + (13*z^2)/a^2 - 8*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (9*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9303] -> 3/a^12 - 10/a^10 + 8/a^8 + (5*z^2)/a^12 - 
   (26*z^2)/a^10 + (31*z^2)/a^8 - (3*z^2)/a^6 + (4*z^4)/a^12 - 
   (28*z^4)/a^10 + (44*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (31*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 9304] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 3*z^2 + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (28*z^2)/a^4 - (4*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (39*z^4)/a^4 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9305] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   3*z^2 - z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   a^8*z^2 + (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 9306] -> 
  -a^(-16) + 6/a^14 - 11/a^12 + 5/a^10 + a^(-8) + a^(-6) + (5*z^2)/a^14 - 
   (20*z^2)/a^12 + (17*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   (9*z^4)/a^12 + (19*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^6)/a^10 - (4*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9307] -> -a^(-18) + 5/a^16 - 7/a^14 + 2/a^10 + 2/a^8 + 
   (5*z^2)/a^16 - (16*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 9308] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 
   3*a^4 + 2*a^6 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 9309] -> a^(-14) - 5/a^12 + 9/a^10 - 
   8/a^8 + 2/a^6 + 2/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - (19*z^2)/a^8 + 
   (7*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + (9*z^4)/a^10 - (18*z^4)/a^8 + 
   (8*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (7*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9310] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 
   2/a^4 - (5*z^2)/a^12 + (17*z^2)/a^10 - (19*z^2)/a^8 + (7*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + (9*z^4)/a^10 - (18*z^4)/a^8 + (8*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9311] -> 
  11 - a^(-4) - a^(-2) - 12*a^2 + 3*a^4 + a^6 + 13*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 26*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 25*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 
   13*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9312] -> 2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 - 
   2*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (26*z^2)/a^6 - (17*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - 
   (19*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9313] -> 2 + a^(-10) - 3/a^8 + a^(-6) + 
   4/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9314] -> 
  4 - a^(-6) + 3/a^4 - 3/a^2 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9315] -> 
  3/a^10 - 9/a^8 + 7/a^6 + z^2/a^12 + (2*z^2)/a^10 - (17*z^2)/a^8 + 
   (19*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (12*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 9316] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 
   2*a^4 - 7*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 
   9*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 8*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 9317] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 4/a^8 - 3/a^6 + 4/a^4 - (4*z^2)/a^12 + 
   (13*z^2)/a^10 - (10*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 
   (6*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9318] -> -a^(-18) + 5/a^16 - 8/a^14 + 4/a^12 - 
   3/a^10 + 4/a^8 + (4*z^2)/a^16 - (13*z^2)/a^14 + (6*z^2)/a^12 + 
   (12*z^2)/a^8 + z^2/a^6 - (6*z^4)/a^14 + (6*z^4)/a^12 + (7*z^4)/a^10 + 
   (12*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 9319] -> -6 - 2/a^4 + 7/a^2 - a^2 + 5*a^4 - 
   2*a^6 - 8*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - 
   5*z^4 - z^4/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 9320] -> 5 + 2/a^8 - 7/a^6 + 8/a^4 - 
   5/a^2 - 2*a^2 + 9*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^8 - (8*z^4)/a^6 + (9*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 9321] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 9322] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 - 
   (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 9323] -> 
  5 + a^(-4) - 4/a^2 - 5*a^2 + 9*a^4 - 5*a^6 + 8*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 5*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 13*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 9324] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - z^2/a^10 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + 
   (13*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (18*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 9325] -> -2 + a^2 + 11*a^4 - 13*a^6 + 4*a^8 - 5*z^2 + 
   5*a^2*z^2 + 26*a^4*z^2 - 32*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 
   20*a^4*z^4 - 33*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 + 3*a^4*z^6 - 
   18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 9326] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 17*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (29*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 20*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (28*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9327] -> -8 - 2/a^4 + 7/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 
   4*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9328] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 26*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9329] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9330] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 12*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9331] -> 2/a^10 - 6/a^8 + a^(-6) + 7/a^4 - 
   3/a^2 - 2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + 
   (12*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (19*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (4*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 9332] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9333] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 9334] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 
   2*a^4 - 16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 - z^4/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9335] -> 
  3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 - z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   5*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9336] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9337] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9338] -> 
  a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (23*z^2)/a^6 - (30*z^2)/a^4 + (16*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (31*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9339] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (4*z^2)/a^8 - (16*z^2)/a^6 + 
   (15*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (16*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (10*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 9340] -> 
  1 - 2/a^4 + 4/a^2 - 4*a^2 + 2*a^4 - 6*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (11*z^4)/a^2 - 
   6*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9341] -> -2 + a^(-10) - 5/a^8 + 9/a^6 - 10/a^4 + 
   8/a^2 - 7*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (28*z^2)/a^4 + 
   (24*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9342] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 12*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9343] -> -2 + a^(-10) - 5/a^8 + 9/a^6 - 10/a^4 + 
   8/a^2 - 7*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (28*z^2)/a^4 + 
   (24*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9344] -> 
  -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 12*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 + 11*a^4*z^4 - 
   5*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9345] -> -3 + a^(-8) - 4/a^6 + 3/a^4 + 3/a^2 + a^2 - 
   10*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 12*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 9346] -> -2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^2 - 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9347] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9348] -> 
  -2 + 2*a^2 + 7*a^4 - 8*a^6 + 2*a^8 - 3*z^2 - z^2/a^2 + 7*a^2*z^2 + 
   12*a^4*z^2 - 13*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 + 
   5*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9349] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) - 
   2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (22*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - 
   (18*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9350] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9351] -> -4 - 2/a^4 + 6/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9352] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9353] -> 
  -a^(-6) + 3/a^4 - 3/a^2 + 4*a^2 - 2*a^4 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 9354] -> 
  -7 + a^(-2) + 14*a^2 - 8*a^4 + a^6 - 18*z^2 + (3*z^2)/a^2 + 29*a^2*z^2 - 
   8*a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 + 5*a^4*z^4 - 
   6*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9355] -> -2 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   3*a^4 + 2*a^6 - 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9356] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 9357] -> -a^(-6) + 2/a^4 - a^4 + a^6 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 9358] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 15*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9359] -> 2 - 2/a^4 + 4/a^2 - 5*a^2 + a^4 + a^6 - 
   4*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 9*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9360] -> 
  -5 - a^(-6) + a^(-4) + 4/a^2 + 2*a^2 - a^4 + a^6 - 11*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9361] -> 
  -4 + a^(-2) + 2*a^2 + 7*a^4 - 5*a^6 - 12*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 
   22*a^4*z^2 - 11*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 28*a^4*z^4 - 
   11*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9362] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9363] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 9364] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9365] -> 
  2 - a^(-4) + a^(-2) - a^2 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9366] -> 1 - a^(-2) + a^2 + 4*a^4 - 6*a^6 + 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9367] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 9368] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 5*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 9369] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 3*a^4 + 2*a^6 + 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9370] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 19*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9371] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 9372] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9373] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^4*z^2 + a^8*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 9374] -> -1 + 2/a^10 - 6/a^8 + a^(-6) + 6/a^4 - 
   a^(-2) - 3*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 + 
   (9*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 + 
   z^4/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9375] -> -2/a^18 + 10/a^16 - 15/a^14 + 4/a^12 + 
   3/a^10 + a^(-8) - z^2/a^18 + (15*z^2)/a^16 - (40*z^2)/a^14 + 
   (18*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (30*z^4)/a^12 + (25*z^4)/a^10 + (6*z^4)/a^8 - 
   (9*z^6)/a^14 + (21*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9376] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9377] -> -2/a^18 + 10/a^16 - 14/a^14 + a^(-12) + 
   6/a^10 - z^2/a^18 + (15*z^2)/a^16 - (38*z^2)/a^14 + (10*z^2)/a^12 + 
   (24*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (33*z^4)/a^14 + (23*z^4)/a^12 + 
   (35*z^4)/a^10 + (3*z^4)/a^8 - (9*z^6)/a^14 + (19*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 9378] -> -5 - 2/a^8 + 7/a^6 - 9/a^4 + 8/a^2 + a^2 + 
   a^4 - 7*z^2 - z^2/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (16*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9379] -> 
  -7 + 2/a^6 - 9/a^4 + 13/a^2 + 3*a^2 - a^4 - 21*z^2 + (4*z^2)/a^6 - 
   (20*z^2)/a^4 + (33*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (36*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9380] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 22*z^2 + (4*z^2)/a^6 - (21*z^2)/a^4 + 
   (35*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (20*z^4)/a^4 + 
   (38*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9381] -> a^(-8) - 2/a^6 + 2/a^2 - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 - z^4/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (3*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 9382] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 9*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9383] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 4*z^2 + 
   (5*z^2)/a^8 - (26*z^2)/a^6 + (34*z^2)/a^4 - (5*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (46*z^4)/a^4 + (2*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9384] -> 2 - a^(-4) + a^(-2) - a^2 + 17*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 35*z^4 + 
   (4*z^4)/a^4 - (26*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 9385] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 12*z^2 + z^2/a^6 - (8*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 16*z^4 + z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 9386] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 7/a^6 - (5*z^2)/a^12 + 
   (19*z^2)/a^10 - (28*z^2)/a^8 + (20*z^2)/a^6 - z^2/a^4 + (10*z^4)/a^10 - 
   (25*z^4)/a^8 + (20*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (9*z^6)/a^8 + 
   (10*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9387] -> -2/a^18 + 11/a^16 - 19/a^14 + 8/a^12 + 
   3/a^10 - z^2/a^18 + (16*z^2)/a^16 - (48*z^2)/a^14 + (28*z^2)/a^12 + 
   (17*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (38*z^4)/a^14 + (39*z^4)/a^12 + 
   (29*z^4)/a^10 + (4*z^4)/a^8 - (9*z^6)/a^14 + (24*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 9388] -> -a^(-18) + 5/a^16 - 6/a^14 - 4/a^12 + 
   7/a^10 + (5*z^2)/a^16 - (15*z^2)/a^14 - (4*z^2)/a^12 + (21*z^2)/a^10 + 
   (5*z^2)/a^8 - (9*z^4)/a^14 + (5*z^4)/a^12 + (23*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + (5*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 9389] -> -a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^10 + 
   (16*z^2)/a^8 - (16*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (28*z^4)/a^8 - (36*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (16*z^6)/a^8 - (32*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 9390] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9391] -> 
  23 + 4/a^4 - 17/a^2 - 9*a^2 + 71*z^2 + (12*z^2)/a^4 - (53*z^2)/a^2 - 
   25*a^2*z^2 + 98*z^4 + (13*z^4)/a^4 - (68*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + 
   (6*z^6)/a^4 - (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 9392] -> 11 + a^(-6) - 2/a^4 - 4/a^2 - 5*a^2 + 
   28*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - (7*z^2)/a^2 - 12*a^2*z^2 + 31*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9393] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 - 3*z^2 + (6*z^2)/a^8 - (30*z^2)/a^6 + 
   (39*z^2)/a^4 - (8*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (47*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (32*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 9394] -> 
  5 - a^(-4) - 4*a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - 8*z^4 - z^4/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9395] -> -3 + 6*a^2 + a^4 - 4*a^6 + a^8 - 7*z^2 + 
   16*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^2 + 16*a^2*z^4 - 
   5*a^4*z^4 - a^6*z^4 + a^8*z^4 + 2*z^6 + 5*a^2*z^6 - 6*a^4*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9396] -> 
  -3 - 2/a^8 + 8/a^6 - 12/a^4 + 9/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (28*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9397] -> 
  -2/a^18 + 10/a^16 - 15/a^14 + 3/a^12 + 5/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (40*z^2)/a^14 + (15*z^2)/a^12 + (22*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (27*z^4)/a^12 + (34*z^4)/a^10 + (3*z^4)/a^8 - 
   (9*z^6)/a^14 + (20*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9398] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - z^2/a^14 - (2*z^2)/a^12 + 
   (13*z^2)/a^10 - (15*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (6*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 9399] -> 28 + 5/a^4 - 21/a^2 - 11*a^2 + 85*z^2 + 
   (14*z^2)/a^4 - (63*z^2)/a^2 - 30*a^2*z^2 + 112*z^4 + (14*z^4)/a^4 - 
   (76*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 + (6*z^6)/a^4 - (47*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 9400] -> 
  -5 - a^(-10) + 2/a^8 + 2/a^6 - 8/a^4 + 9/a^2 + 2*a^2 - 11*z^2 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 - (6*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9401] -> 3 - 3/a^6 + 10/a^4 - 10/a^2 + a^2 + 4*z^2 - 
   (5*z^2)/a^6 + (28*z^2)/a^4 - (34*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - 
   (4*z^4)/a^6 + (31*z^4)/a^4 - (47*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 9402] -> 1 - 2/a^8 + 6/a^6 - 4/a^4 - a^(-2) + a^2 + 
   z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   z^4 - z^4/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 9403] -> 
  9 + 2/a^6 - 6/a^4 + a^(-2) - 5*a^2 + 23*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (7*z^2)/a^2 - 12*a^2*z^2 + 27*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (13*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 9404] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 4*z^2 + (4*z^2)/a^8 - (16*z^2)/a^6 + 
   (15*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (14*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 9405] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - 11*a^2*z^4 + 
   7*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 9406] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 9407] -> 3 - a^(-4) + a^(-2) - 2*a^2 - 
   a^4 + a^6 - z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9408] -> 
  -10 - 2/a^4 + 8/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 28*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 30*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 9409] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9410] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 9411] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 9412] -> 
  -a^(-16) + 6/a^14 - 12/a^12 + 9/a^10 - 4/a^8 + 3/a^6 + (5*z^2)/a^14 - 
   (22*z^2)/a^12 + (27*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   (10*z^4)/a^12 + (27*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (9*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9413] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9414] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 17*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (29*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 20*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (28*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9415] -> -a^(-16) + 6/a^14 - 11/a^12 + 
   5/a^10 + a^(-8) + a^(-6) + (5*z^2)/a^14 - (20*z^2)/a^12 + (17*z^2)/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (9*z^4)/a^12 + (19*z^4)/a^10 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (7*z^6)/a^10 - (4*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9416] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9417] -> 
  -a^(-12) + 5/a^10 - 11/a^8 + 11/a^6 - 5/a^4 + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (22*z^2)/a^8 + (29*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (30*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 9418] -> 
  -2/a^18 + 10/a^16 - 15/a^14 + 3/a^12 + 5/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (40*z^2)/a^14 + (15*z^2)/a^12 + (22*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (27*z^4)/a^12 + (34*z^4)/a^10 + (3*z^4)/a^8 - 
   (9*z^6)/a^14 + (20*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9419] -> 
  2 + a^(-6) - 3/a^4 + a^(-2) + 2*a^2 - 2*a^4 - z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9420] -> 
  2/a^14 - 8/a^12 + 11/a^10 - 9/a^8 + 5/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (27*z^2)/a^10 - (25*z^2)/a^8 + (16*z^2)/a^6 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (30*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (18*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 9421] -> 
  2/a^14 - 8/a^12 + 11/a^10 - 9/a^8 + 5/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (27*z^2)/a^10 - (25*z^2)/a^8 + (16*z^2)/a^6 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (30*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (18*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 9422] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - (5*z^2)/a^6 + (25*z^2)/a^4 - 
   (27*z^2)/a^2 + 6*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - 
   (44*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 9423] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - z^4/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^4 - (19*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 9424] -> 1 - a^(-2) + 5*a^2 - 8*a^4 + 6*a^6 - 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 20*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 11*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9425] -> -3 + 3/a^6 - 12/a^4 + 14/a^2 - a^2 - 3*z^2 + 
   (6*z^2)/a^6 - (27*z^2)/a^4 + (32*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^6 - (25*z^4)/a^4 + (32*z^4)/a^2 - 6*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (18*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9426] -> 
  3/a^10 - 9/a^8 + 7/a^6 + z^2/a^12 + (2*z^2)/a^10 - (17*z^2)/a^8 + 
   (19*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (12*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 9427] -> 23 + 4/a^4 - 17/a^2 - 9*a^2 + 
   71*z^2 + (12*z^2)/a^4 - (53*z^2)/a^2 - 25*a^2*z^2 + 98*z^4 + 
   (13*z^4)/a^4 - (68*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - 
   (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 9428] -> 
  11 + a^(-6) - 2/a^4 - 4/a^2 - 5*a^2 + 28*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   (7*z^2)/a^2 - 12*a^2*z^2 + 31*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 9429] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9430] -> 
  -2 + 2*a^2 + 7*a^4 - 8*a^6 + 2*a^8 - 3*z^2 - z^2/a^2 + 7*a^2*z^2 + 
   12*a^4*z^2 - 13*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 + 
   5*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9431] -> -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 
   2*a^2 - 8*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 11*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9432] -> -3 - a^(-8) + 4/a^6 - 9/a^4 + 10/a^2 - 
   7*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9433] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9434] -> -a^(-18) + 5/a^16 - 6/a^14 - 
   4/a^12 + 7/a^10 + (5*z^2)/a^16 - (15*z^2)/a^14 - (3*z^2)/a^12 + 
   (20*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + (6*z^4)/a^12 + 
   (21*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 9435] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 6*z^2 - (2*z^2)/a^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^2 + 9*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9436] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 5*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 9437] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9438] -> 
  -a^(-16) + 6/a^14 - 13/a^12 + 13/a^10 - 9/a^8 + 5/a^6 + (5*z^2)/a^14 - 
   (23*z^2)/a^12 + (35*z^2)/a^10 - (25*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - 
   (10*z^4)/a^12 + (32*z^4)/a^10 - (28*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (10*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9439] -> 
  a^(-12) - 4/a^10 + 3/a^8 + 5/a^6 - 9/a^4 + 5/a^2 - z^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 + (2*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9440] -> -a^(-18) + 4/a^16 - 2/a^14 - 9/a^12 + 
   9/a^10 + (4*z^2)/a^16 - (9*z^2)/a^14 - (11*z^2)/a^12 + (21*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - (6*z^4)/a^14 + (20*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 9441] -> -10 + 2/a^6 - 9/a^4 + 14/a^2 + 6*a^2 - 
   2*a^4 - 25*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (31*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 25*z^4 + z^4/a^6 - (12*z^4)/a^4 + (29*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9442] -> 
  5 - 2/a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 9*z^2 - (3*z^2)/a^2 - 11*a^4*z^2 + 
   7*a^6*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 11*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9443] -> 
  -4 + 2/a^8 - 5/a^6 - a^(-4) + 9/a^2 - 2*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - 
   (2*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 9444] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9445] -> 1 - 2/a^8 + 6/a^6 - 4/a^4 - 
   a^(-2) + a^2 + z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - 
   (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 9446] -> 3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 
   5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 
   2*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9447] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   z^2 - z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + a^8*z^2 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 9448] -> 
  a^(-10) - 2/a^8 - 2/a^6 + 5/a^4 - a^(-2) - z^2 + z^2/a^10 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   z^4/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 9449] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   16*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9450] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + 4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9451] -> 
  -2 - a^(-8) + 3/a^6 - 2/a^4 + 2/a^2 - a^2 + 2*a^4 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9452] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9453] -> -7 - 2/a^8 + 8/a^6 - 14/a^4 + 14/a^2 + 
   2*a^2 - 22*z^2 - z^2/a^8 + (12*z^2)/a^6 - (31*z^2)/a^4 + (37*z^2)/a^2 + 
   5*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (39*z^4)/a^2 + 
   6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 9454] -> 
  -2 + a^(-10) - 6/a^8 + 13/a^6 - 15/a^4 + 10/a^2 - 6*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (28*z^2)/a^6 - (38*z^2)/a^4 + (26*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (39*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9455] -> 
  -16 - 4/a^4 + 14/a^2 + 9*a^2 - 3*a^4 + a^6 - 40*z^2 - (4*z^2)/a^4 + 
   (25*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 38*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 28*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9456] -> 
  -a^(-12) + 5/a^10 - 12/a^8 + 15/a^6 - 10/a^4 + 4/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (26*z^2)/a^8 + (38*z^2)/a^6 - (26*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (21*z^4)/a^8 + (38*z^4)/a^6 - (30*z^4)/a^4 + (7*z^4)/a^2 - 
   (6*z^6)/a^8 + (19*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 9457] -> 
  2/a^14 - 9/a^12 + 15/a^10 - 14/a^8 + 7/a^6 + z^2/a^14 - (13*z^2)/a^12 + 
   (34*z^2)/a^10 - (37*z^2)/a^8 + (22*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^12 + 
   (26*z^4)/a^10 - (40*z^4)/a^8 + (26*z^4)/a^6 - (4*z^4)/a^4 + (6*z^6)/a^10 - 
   (21*z^6)/a^8 + (16*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 9458] -> 
  -4/a^18 + 20/a^16 - 33/a^14 + 17/a^12 + a^(-10) - (4*z^2)/a^18 + 
   (38*z^2)/a^16 - (96*z^2)/a^14 + (67*z^2)/a^12 + (7*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (98*z^4)/a^14 + (101*z^4)/a^12 + (17*z^4)/a^10 + 
   (4*z^6)/a^16 - (41*z^6)/a^14 + (72*z^6)/a^12 + (17*z^6)/a^10 - 
   (6*z^8)/a^14 + (24*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 9459] -> -2/a^18 + 9/a^16 - 11/a^14 - 2/a^12 + 
   7/a^10 - z^2/a^18 + (13*z^2)/a^16 - (30*z^2)/a^14 + z^2/a^12 + 
   (27*z^2)/a^10 + z^2/a^8 + (4*z^4)/a^16 - (25*z^4)/a^14 + (12*z^4)/a^12 + 
   (37*z^4)/a^10 + (4*z^4)/a^8 - (6*z^6)/a^14 + (12*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 9460] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - 
   (4*z^2)/a^12 + (10*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 + (6*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^8 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 9461] -> 
  -2/a^18 + 9/a^16 - 11/a^14 - 2/a^12 + 7/a^10 - z^2/a^18 + (13*z^2)/a^16 - 
   (30*z^2)/a^14 + z^2/a^12 + (27*z^2)/a^10 + z^2/a^8 + (4*z^4)/a^16 - 
   (25*z^4)/a^14 + (12*z^4)/a^12 + (37*z^4)/a^10 + (4*z^4)/a^8 - 
   (6*z^6)/a^14 + (12*z^6)/a^12 + (21*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9462] -> 
  -a^(-18) + 4/a^16 - 3/a^14 - 5/a^12 + 4/a^10 + 2/a^8 + (4*z^2)/a^16 - 
   (9*z^2)/a^14 - (8*z^2)/a^12 + (14*z^2)/a^10 + (9*z^2)/a^8 - (6*z^4)/a^14 + 
   (17*z^4)/a^10 + (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 9463] -> 
  -3 + 11*a^2 - 14*a^4 + 11*a^6 - 4*a^8 - 7*z^2 + 27*a^2*z^2 - 31*a^4*z^2 + 
   19*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 29*a^4*z^4 + 6*a^6*z^4 + 
   3*a^8*z^4 - z^6 + 12*a^2*z^6 - 16*a^4*z^6 - 6*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 9464] -> 33 + 6/a^4 - 25/a^2 - 13*a^2 + 100*z^2 + 
   (17*z^2)/a^4 - (75*z^2)/a^2 - 35*a^2*z^2 + 132*z^4 + (17*z^4)/a^4 - 
   (91*z^4)/a^2 - 40*a^2*z^4 + 97*z^6 + (7*z^6)/a^4 - (56*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 9465] -> 
  10 + 3/a^4 - 11/a^2 + 3*a^2 - 4*a^4 + 23*z^2 + (7*z^2)/a^4 - (27*z^2)/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 24*z^4 + (5*z^4)/a^4 - (26*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + 15*z^6 + z^6/a^4 - (12*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 9466] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 8*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9467] -> 14 + 2/a^6 - 5/a^4 - 3/a^2 - 7*a^2 + 36*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 - (4*z^2)/a^2 - 16*a^2*z^2 + 39*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (3*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9468] -> 
  7 + a^(-6) - 2/a^4 - 3/a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 13*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 9469] -> -5 - a^(-10) + 3/a^8 - 2/a^6 - 3/a^4 + 
   7/a^2 + 2*a^2 - 11*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 9470] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 
   7/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9471] -> 2 - 2/a^4 + 4/a^2 - 5*a^2 + a^4 + a^6 - 
   4*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 9*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9472] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9473] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9474] -> 2 - 2/a^6 + 6/a^4 - 5/a^2 - a^4 + a^6 + 
   4*z^2 - z^2/a^6 + (9*z^2)/a^4 - (13*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9475] -> a^(-12) - 5/a^10 + 9/a^8 - 8/a^6 + 3/a^4 + 
   a^(-2) - z^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - (15*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (4*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 9476] -> -2/a^16 + 11/a^14 - 20/a^12 + 
   12/a^10 - a^(-8) + a^(-6) - z^2/a^16 + (14*z^2)/a^14 - (43*z^2)/a^12 + 
   (39*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (4*z^4)/a^14 - (29*z^4)/a^12 + 
   (46*z^4)/a^10 - (13*z^4)/a^8 + (8*z^4)/a^6 - (6*z^6)/a^12 + 
   (23*z^6)/a^10 - (13*z^6)/a^8 + (5*z^6)/a^6 + (4*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^8, Knot[15, Alternating, 9477] -> 
  -a^(-16) + 5/a^14 - 7/a^12 + 3/a^8 + a^(-6) + (4*z^2)/a^14 - 
   (13*z^2)/a^12 + (5*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (6*z^4)/a^12 + (9*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^4 + (4*z^6)/a^10 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[15, Alternating, 9478] -> 
  2 - a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 + a^(-4) - 3/a^2 + 3*z^2 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + 
   2*z^4 - (6*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + z^6 + 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9479] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   (4*z^2)/a^6 + (18*z^2)/a^4 - (17*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 - 
   (4*z^4)/a^6 + (28*z^4)/a^4 - (37*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (32*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 9480] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 + z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 + z^4/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 9481] -> 20 - 6/a^2 - 19*a^2 + 5*a^4 + 
   a^6 + 52*z^2 - (11*z^2)/a^2 - 59*a^2*z^2 + 9*a^4*z^2 + 7*a^6*z^2 + 
   51*z^4 - (6*z^4)/a^2 - 75*a^2*z^4 - a^4*z^4 + 11*a^6*z^4 + 21*z^6 - 
   z^6/a^2 - 49*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 + 3*z^8 - 16*a^2*z^8 - 
   6*a^4*z^8 + a^6*z^8 - 2*a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 9482] -> 6 - 2/a^4 + 3/a^2 - 10*a^2 + 3*a^4 + a^6 + 
   6*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 26*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 
   4*z^4 - z^4/a^4 + (11*z^4)/a^2 - 28*a^2*z^4 + 4*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 15*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 9483] -> -8 - 4/a^4 + 12/a^2 - a^2 + a^4 + 
   a^6 - 18*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - 17*z^4 - z^4/a^4 + (14*z^4)/a^2 - 19*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 - 13*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   2*z^8 - 3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9484] -> 
  7 - 2/a^2 - 9*a^2 + 8*a^4 - 3*a^6 + 12*z^2 - (3*z^2)/a^2 - 15*a^2*z^2 + 
   12*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 8*z^4 - z^4/a^2 - 10*a^2*z^4 + 
   5*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^2*z^6 - a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9485] -> -5 + 4/a^6 - 16/a^4 + 19/a^2 - a^2 - 5*z^2 + 
   (8*z^2)/a^6 - (36*z^2)/a^4 + (43*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 + 
   (5*z^4)/a^6 - (32*z^4)/a^4 + (41*z^4)/a^2 - 8*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (13*z^6)/a^4 + (22*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9486] -> 
  4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 12*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 14*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 9487] -> 28 + 5/a^4 - 21/a^2 - 11*a^2 + 85*z^2 + 
   (14*z^2)/a^4 - (63*z^2)/a^2 - 30*a^2*z^2 + 112*z^4 + (14*z^4)/a^4 - 
   (76*z^4)/a^2 - 34*a^2*z^4 + 82*z^6 + (6*z^6)/a^4 - (47*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 9488] -> 
  -4 + 2/a^10 - 11/a^8 + 23/a^6 - 26/a^4 + 17/a^2 - 9*z^2 + z^2/a^10 - 
   (13*z^2)/a^8 + (41*z^2)/a^6 - (55*z^2)/a^4 + (38*z^2)/a^2 - 8*z^4 - 
   (4*z^4)/a^8 + (26*z^4)/a^6 - (48*z^4)/a^4 + (36*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (21*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9489] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9490] -> 
  -12 - 4/a^4 + 13/a^2 + 4*a^2 - a^4 + a^6 - 33*z^2 - (4*z^2)/a^4 + 
   (24*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 35*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9491] -> 
  -3 - 2/a^6 + 5/a^4 - a^(-2) + 2*a^2 - a^4 + a^6 - 6*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9492] -> -4 + 2/a^10 - 11/a^8 + 23/a^6 - 26/a^4 + 
   17/a^2 - 9*z^2 + z^2/a^10 - (13*z^2)/a^8 + (41*z^2)/a^6 - (55*z^2)/a^4 + 
   (38*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (26*z^4)/a^6 - (48*z^4)/a^4 + 
   (36*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (21*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9493] -> 
  -4 + 16*a^2 - 24*a^4 + 22*a^6 - 11*a^8 + 2*a^10 - 8*z^2 + 34*a^2*z^2 - 
   48*a^4*z^2 + 37*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 5*z^4 + 29*a^2*z^4 - 
   40*a^4*z^4 + 19*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 19*a^4*z^6 - 
   a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 9494] -> 
  1 - 2/a^6 + 5/a^4 - 2/a^2 - 3*a^2 + a^4 + a^6 - 2*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 8*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 9495] -> 
  1 + 2/a^8 - 7/a^6 + 6/a^4 - a^2 + 5*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (12*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (10*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9496] -> 1 + a^(-8) - 3/a^6 + a^(-4) + 2/a^2 - a^2 + 
   3*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 4*z^4 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 9497] -> -3 + 5*a^2 + 6*a^4 - 11*a^6 + 4*a^8 - 7*z^2 + 
   16*a^2*z^2 + 9*a^4*z^2 - 24*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   24*a^6*z^4 + 9*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 15*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 9498] -> -a^(-2) + 5*a^2 - a^4 - 4*a^6 + 
   2*a^8 + 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 8*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9499] -> 
  -15 - 3/a^4 + 11/a^2 + 12*a^2 - 5*a^4 + a^6 - 36*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 28*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 35*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 28*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9500] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 5*a^2 - 3*a^4 + a^6 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9501] -> -14 + 3/a^2 + 20*a^2 - 7*a^4 - a^6 - 34*z^2 + 
   (7*z^2)/a^2 + 45*a^2*z^2 - 6*a^4*z^2 - 5*a^6*z^2 - 31*z^4 + (5*z^4)/a^2 + 
   42*a^2*z^4 + 7*a^4*z^4 - 8*a^6*z^4 - 13*z^6 + z^6/a^2 + 22*a^2*z^6 + 
   12*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 9502] -> 
  -1 + a^(-4) - 3/a^2 + 8*a^2 - 3*a^4 - a^6 - z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 16*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 15*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 9503] -> 33 + 6/a^4 - 25/a^2 - 13*a^2 + 100*z^2 + 
   (17*z^2)/a^4 - (75*z^2)/a^2 - 35*a^2*z^2 + 132*z^4 + (17*z^4)/a^4 - 
   (91*z^4)/a^2 - 40*a^2*z^4 + 97*z^6 + (7*z^6)/a^4 - (56*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 9504] -> 
  14 + 2/a^6 - 5/a^4 - 3/a^2 - 7*a^2 + 36*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 - 
   (4*z^2)/a^2 - 16*a^2*z^2 + 39*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (3*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 9505] -> 10 + 3/a^4 - 11/a^2 + 3*a^2 - 4*a^4 + 
   23*z^2 + (7*z^2)/a^4 - (27*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 24*z^4 + 
   (5*z^4)/a^4 - (26*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 15*z^6 + z^6/a^4 - 
   (12*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 9506] -> 
  7 + a^(-6) - 2/a^4 - 3/a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 13*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 9507] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 19*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9508] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (22*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (18*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 9509] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 10/a^6 - 6/a^4 + 3/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (20*z^2)/a^8 + (25*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (23*z^4)/a^6 - (14*z^4)/a^4 - 
   z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9510] -> 
  -2 + a^2 + 11*a^4 - 13*a^6 + 4*a^8 - 5*z^2 + 5*a^2*z^2 + 26*a^4*z^2 - 
   32*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 20*a^4*z^4 - 33*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 8*a^2*z^6 + 3*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 9511] -> 1 - a^(-2) + a^2 + 4*a^4 - 6*a^6 + 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9512] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - 
   (5*z^2)/a^12 + (15*z^2)/a^10 - (15*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (10*z^4)/a^10 - (20*z^4)/a^8 + (12*z^4)/a^6 - z^4/a^2 - (9*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9513] -> a^(-6) - 3/a^4 + 2/a^2 + 3*a^2 - 2*a^4 - 
   6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9514] -> 
  -a^(-12) + 5/a^10 - 11/a^8 + 11/a^6 - 5/a^4 + 2/a^2 + z^2 + (5*z^2)/a^10 - 
   (20*z^2)/a^8 + (30*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   (10*z^4)/a^8 + (27*z^4)/a^6 - (20*z^4)/a^4 + z^4/a^2 + z^6 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9515] -> a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 7/a^6 - 
   (5*z^2)/a^12 + (19*z^2)/a^10 - (29*z^2)/a^8 + (21*z^2)/a^6 - z^2/a^2 + 
   (10*z^4)/a^10 - (26*z^4)/a^8 + (22*z^4)/a^6 - (2*z^4)/a^2 - (9*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9516] -> -2 + a^(-10) - 5/a^8 + 9/a^6 - 10/a^4 + 
   8/a^2 - 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (24*z^2)/a^4 + 
   (18*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9517] -> 
  -1 - 3*a^2 + 16*a^4 - 15*a^6 + 4*a^8 - 4*z^2 - 2*a^2*z^2 + 36*a^4*z^2 - 
   34*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 27*a^4*z^4 - 32*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 8*a^2*z^6 + 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 9518] -> -3 + 6*a^2 + 2*a^4 - 6*a^6 + 2*a^8 - 4*z^2 - 
   z^2/a^2 + 14*a^2*z^2 + 2*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 9519] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 
   3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   8*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9520] -> 
  2/a^10 - 8/a^8 + 11/a^6 - 7/a^4 + 3/a^2 - 2*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (26*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9521] -> -8 - a^(-8) + 4/a^6 - 6/a^4 + 8/a^2 + 4*a^2 - 
   19*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 + 
   6*a^2*z^2 - 18*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (20*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9522] -> -10 - a^(-6) + a^(-4) + 5/a^2 + 8*a^2 - 
   2*a^4 - 20*z^2 - z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 14*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 9523] -> 1 - a^(-2) + a^2 + 4*a^4 - 
   6*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 
   3*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9524] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 26*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9525] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9526] -> 1 - a^(-2) + 5*a^2 - 8*a^4 + 6*a^6 - 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 20*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 11*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9527] -> 2 + a^(-6) - 3/a^4 + a^(-2) + 2*a^2 - 2*a^4 - 
   z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 
   7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9528] -> 
  -1 - a^(-2) + 10*a^2 - 10*a^4 + 3*a^6 + z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 
   22*a^4*z^2 + 6*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 
   22*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 12*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9529] -> -10 + 2/a^6 - 9/a^4 + 14/a^2 + 6*a^2 - 
   2*a^4 - 25*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (31*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 25*z^4 + z^4/a^6 - (12*z^4)/a^4 + (29*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9530] -> 
  3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (10*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 9531] -> 
  2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9532] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 - 3*a^2 + 2*a^4 + 4*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 9533] -> 
  4 - a^(-6) + 3/a^4 - 3/a^2 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9534] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 9/a^6 - (5*z^2)/a^12 + 
   (23*z^2)/a^10 - (40*z^2)/a^8 + (30*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   (10*z^4)/a^10 - (33*z^4)/a^8 + (33*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (10*z^6)/a^8 + (17*z^6)/a^6 - z^6/a^2 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9535] -> -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 
   32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 28*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9536] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9537] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (17*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (25*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9538] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 9*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9539] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 9540] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 
   9/a^6 - 8/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (18*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9541] -> 1 - a^(-12) + 5/a^10 - 10/a^8 + 10/a^6 - 
   5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + 
   (24*z^2)/a^6 - (13*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (22*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9542] -> -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9543] -> 
  -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 2*a^2 - 22*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (22*z^2)/a^4 + (30*z^2)/a^2 + 6*a^2*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (33*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 9544] -> -1 + 2/a^10 - 8/a^8 + 11/a^6 - 
   8/a^4 + 5/a^2 - 3*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (27*z^2)/a^6 - 
   (20*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (27*z^4)/a^6 - (22*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 9545] -> 
  4 + a^(-6) - 4/a^4 + 2/a^2 - a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9546] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9547] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 - 2*z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9548] -> 
  -15 - 3/a^4 + 11/a^2 + 12*a^2 - 5*a^4 + a^6 - 36*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 28*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 35*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 28*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9549] -> 
  2/a^10 - 10/a^8 + 17/a^6 - 13/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - 
   (13*z^2)/a^8 + (37*z^2)/a^6 - (38*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (26*z^4)/a^6 - (42*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (21*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9550] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 5*a^2 - 3*a^4 + a^6 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9551] -> a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 9/a^6 + 
   z^2/a^14 - (10*z^2)/a^12 + (30*z^2)/a^10 - (40*z^2)/a^8 + (25*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (40*z^4)/a^8 + (28*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^6)/a^10 - (20*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 9552] -> -3/a^18 + 16/a^16 - 28/a^14 + 15/a^12 + 
   a^(-10) - (4*z^2)/a^18 + (35*z^2)/a^16 - (89*z^2)/a^14 + (63*z^2)/a^12 + 
   (8*z^2)/a^10 - z^4/a^18 + (22*z^4)/a^16 - (95*z^4)/a^14 + (98*z^4)/a^12 + 
   (18*z^4)/a^10 + (4*z^6)/a^16 - (41*z^6)/a^14 + (71*z^6)/a^12 + 
   (17*z^6)/a^10 - (6*z^8)/a^14 + (24*z^8)/a^12 + (7*z^8)/a^10 + 
   (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 9553] -> 
  -2/a^18 + 10/a^16 - 15/a^14 + 3/a^12 + 5/a^10 - z^2/a^18 + (13*z^2)/a^16 - 
   (33*z^2)/a^14 + (8*z^2)/a^12 + (23*z^2)/a^10 + (2*z^2)/a^8 + 
   (4*z^4)/a^16 - (25*z^4)/a^14 + (15*z^4)/a^12 + (34*z^4)/a^10 + 
   (5*z^4)/a^8 - (6*z^6)/a^14 + (12*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9554] -> 
  -a^(-18) + 4/a^16 - 2/a^14 - 9/a^12 + 9/a^10 - z^2/a^18 + (9*z^2)/a^16 - 
   (16*z^2)/a^14 - (13*z^2)/a^12 + (30*z^2)/a^10 + (2*z^2)/a^8 + 
   (4*z^4)/a^16 - (19*z^4)/a^14 + (2*z^4)/a^12 + (37*z^4)/a^10 + 
   (5*z^4)/a^8 - (6*z^6)/a^14 + (9*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 9555] -> 
  4 - 19*a^2 + 29*a^4 - 13*a^6 + 14*z^2 - 67*a^2*z^2 + 99*a^4*z^2 - 
   36*a^6*z^2 + 16*z^4 - 87*a^2*z^4 + 134*a^4*z^4 - 41*a^6*z^4 + 7*z^6 - 
   55*a^2*z^6 + 98*a^4*z^6 - 25*a^6*z^6 + z^8 - 17*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 9556] -> -2 + a^(-2) - 6*a^2 + 17*a^4 - 9*a^6 - 
   12*z^2 + (4*z^2)/a^2 - 6*a^2*z^2 + 40*a^4*z^2 - 17*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + 40*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 9557] -> 
  -8 + 2/a^2 + 7*a^2 + 5*a^4 - 5*a^6 - 20*z^2 + (5*z^2)/a^2 + 14*a^2*z^2 + 
   21*a^4*z^2 - 12*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 + 27*a^4*z^4 - 
   11*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9558] -> -6 - 2/a^4 + 6/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   15*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9559] -> 
  -a^(-12) + 7/a^10 - 17/a^8 + 16/a^6 - 5/a^4 + a^(-2) - z^2/a^12 + 
   (10*z^2)/a^10 - (33*z^2)/a^8 + (42*z^2)/a^6 - (18*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (23*z^4)/a^8 + (42*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 - 
   (6*z^6)/a^8 + (20*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 9560] -> 
  -6 - a^(-8) + 5/a^6 - 10/a^4 + 11/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9561] -> 
  -8 + 2/a^2 + 7*a^2 + 5*a^4 - 5*a^6 - 12*z^2 + z^2/a^4 + 14*a^2*z^2 + 
   12*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 + 
   10*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 9562] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - 11*a^2*z^4 + 
   7*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 9563] -> -2 + 2*a^2 + 6*a^4 - 6*a^6 + a^8 - 3*z^2 - 
   z^2/a^2 + 8*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 
   10*a^2*z^4 - a^4*z^4 - a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 6*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9564] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 4/a^8 - 3/a^6 + 4/a^4 - (4*z^2)/a^12 + 
   (13*z^2)/a^10 - (10*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 
   (6*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9565] -> -a^(-18) + 5/a^16 - 8/a^14 + 4/a^12 - 
   3/a^10 + 4/a^8 + (4*z^2)/a^16 - (13*z^2)/a^14 + (6*z^2)/a^12 + 
   (12*z^2)/a^8 + z^2/a^6 - (6*z^4)/a^14 + (6*z^4)/a^12 + (7*z^4)/a^10 + 
   (12*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (4*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 9566] -> 5 + a^(-4) - 4/a^2 - 5*a^2 + 
   9*a^4 - 5*a^6 + 8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 
   17*a^4*z^2 - 7*a^6*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 + 13*a^4*z^4 - 
   4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 9567] -> 
  3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 - z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   5*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 12*z^4 - z^4/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9568] -> -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9569] -> 
  -9 - a^(-6) + a^(-4) + 5/a^2 + 7*a^2 - 3*a^4 + a^6 - 19*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 9570] -> -a^(-16) + 6/a^14 - 13/a^12 + 13/a^10 - 
   9/a^8 + 5/a^6 + (5*z^2)/a^14 - (23*z^2)/a^12 + (35*z^2)/a^10 - 
   (25*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - (10*z^4)/a^12 + (32*z^4)/a^10 - 
   (28*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (10*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9571] -> 
  a^(-12) - 4/a^10 + 3/a^8 + 5/a^6 - 9/a^4 + 5/a^2 - z^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 + (2*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (4*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9572] -> -a^(-18) + 4/a^16 - 2/a^14 - 9/a^12 + 
   9/a^10 + (4*z^2)/a^16 - (9*z^2)/a^14 - (11*z^2)/a^12 + (21*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - (6*z^4)/a^14 + (20*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 9573] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 2*a^2 - a^4 + 
   a^6 + 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 9574] -> -1 + a^(-10) - 5/a^8 + 10/a^6 - 
   11/a^4 + 7/a^2 - 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - 
   (27*z^2)/a^4 + (19*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (28*z^4)/a^4 + (23*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9575] -> -25 - 4/a^4 + 16/a^2 + 23*a^2 - 12*a^4 + 
   3*a^6 - 50*z^2 - (4*z^2)/a^4 + (26*z^2)/a^2 + 46*a^2*z^2 - 25*a^4*z^2 + 
   6*a^6*z^2 - 41*z^4 - z^4/a^4 + (15*z^4)/a^2 + 39*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 17*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9576] -> 
  -4 + 2/a^10 - 11/a^8 + 23/a^6 - 26/a^4 + 17/a^2 - 9*z^2 + z^2/a^10 - 
   (13*z^2)/a^8 + (41*z^2)/a^6 - (55*z^2)/a^4 + (38*z^2)/a^2 - 8*z^4 - 
   (4*z^4)/a^8 + (26*z^4)/a^6 - (48*z^4)/a^4 + (36*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (21*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9577] -> 
  7 - 2/a^6 + 7/a^4 - 9/a^2 - 2*a^2 - a^4 + a^6 + 11*z^2 - z^2/a^6 + 
   (9*z^2)/a^4 - (16*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9578] -> 
  -2/a^16 + 11/a^14 - 20/a^12 + 12/a^10 - a^(-8) + a^(-6) - z^2/a^16 + 
   (14*z^2)/a^14 - (43*z^2)/a^12 + (39*z^2)/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^4)/a^14 - (29*z^4)/a^12 + (46*z^4)/a^10 - 
   (13*z^4)/a^8 + (8*z^4)/a^6 - (6*z^6)/a^12 + (23*z^6)/a^10 - (13*z^6)/a^8 + 
   (5*z^6)/a^6 + (4*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[15, Alternating, 9579] -> -a^(-16) + 5/a^14 - 7/a^12 + 3/a^8 + a^(-6) + 
   (4*z^2)/a^14 - (13*z^2)/a^12 + (5*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (6*z^4)/a^12 + (9*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^4 + 
   (4*z^6)/a^10 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9580] -> -14 + 3/a^2 + 20*a^2 - 7*a^4 - a^6 - 34*z^2 + 
   (7*z^2)/a^2 + 45*a^2*z^2 - 6*a^4*z^2 - 5*a^6*z^2 - 31*z^4 + (5*z^4)/a^2 + 
   42*a^2*z^4 + 7*a^4*z^4 - 8*a^6*z^4 - 13*z^6 + z^6/a^2 + 22*a^2*z^6 + 
   12*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 7*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 9581] -> 
  -1 + a^(-4) - 3/a^2 + 8*a^2 - 3*a^4 - a^6 - z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 16*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 15*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 9582] -> 4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + 
   (12*z^2)/a^8 - (51*z^2)/a^6 + (65*z^2)/a^4 - (22*z^2)/a^2 + (13*z^4)/a^8 - 
   (68*z^4)/a^6 + (96*z^4)/a^4 - (30*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (76*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 9583] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 - 5*z^2 + 
   (6*z^2)/a^8 - (24*z^2)/a^6 + (24*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (22*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9584] -> -a^(-6) + 2/a^4 - a^4 + a^6 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 9585] -> -a^(-16) + 6/a^14 - 13/a^12 + 13/a^10 - 
   9/a^8 + 5/a^6 + (5*z^2)/a^14 - (23*z^2)/a^12 + (35*z^2)/a^10 - 
   (25*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - (10*z^4)/a^12 + (32*z^4)/a^10 - 
   (28*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (10*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9586] -> 
  a^(-14) - 6/a^12 + 14/a^10 - 17/a^8 + 9/a^6 - (5*z^2)/a^12 + 
   (23*z^2)/a^10 - (40*z^2)/a^8 + (30*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   (10*z^4)/a^10 - (33*z^4)/a^8 + (33*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (10*z^6)/a^8 + (17*z^6)/a^6 - z^6/a^2 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9587] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9588] -> 
  -12 - 3/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 29*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (22*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 29*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9589] -> -3 - 2/a^8 + 8/a^6 - 12/a^4 + 9/a^2 + 
   a^2 - 11*z^2 - (2*z^2)/a^8 + (15*z^2)/a^6 - (28*z^2)/a^4 + (22*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + 
   (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9590] -> -3 + 6*a^2 + 2*a^4 - 6*a^6 + 2*a^8 - 4*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   8*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9591] -> -9 - a^(-8) + 4/a^6 - 7/a^4 + 10/a^2 + 
   4*a^2 - 26*z^2 - z^2/a^8 + (7*z^2)/a^6 - (19*z^2)/a^4 + (29*z^2)/a^2 + 
   7*a^2*z^2 - 30*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (33*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 9592] -> 
  5/a^8 - 19/a^6 + 22/a^4 - 7/a^2 + (13*z^2)/a^8 - (55*z^2)/a^6 + 
   (70*z^2)/a^4 - (23*z^2)/a^2 + (13*z^4)/a^8 - (69*z^4)/a^6 + (97*z^4)/a^4 - 
   (30*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + (76*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 9593] -> 
  -2 + 3/a^8 - 10/a^6 + 8/a^4 + 2/a^2 - 6*z^2 + (6*z^2)/a^8 - (23*z^2)/a^6 + 
   (20*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + 
   (21*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 9594] -> 
  -5 - a^(-8) + 5/a^6 - 11/a^4 + 12/a^2 + a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (25*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9595] -> 
  -2/a^12 + 13/a^10 - 30/a^8 + 28/a^6 - 9/a^4 + a^(-2) - z^2/a^12 + 
   (14*z^2)/a^10 - (50*z^2)/a^8 + (63*z^2)/a^6 - (25*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (29*z^4)/a^8 + (55*z^4)/a^6 - (28*z^4)/a^4 + (6*z^4)/a^2 - 
   (6*z^6)/a^8 + (23*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 9596] -> 
  -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 8*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9597] -> -a^(-6) + 2/a^4 - a^4 + a^6 - 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9598] -> 
  -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^4 + a^6 - z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 - (3*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 9599] -> -a^(-14) + 6/a^12 - 12/a^10 + 8/a^8 - 
   a^(-4) + a^(-2) + (4*z^2)/a^12 - (17*z^2)/a^10 + (19*z^2)/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - (6*z^4)/a^10 + (15*z^4)/a^8 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + (4*z^6)/a^8 - (3*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - z^8/a^4, Knot[15, Alternating, 9600] -> 
  -2/a^12 + 13/a^10 - 30/a^8 + 28/a^6 - 9/a^4 + a^(-2) - z^2/a^12 + 
   (14*z^2)/a^10 - (50*z^2)/a^8 + (63*z^2)/a^6 - (25*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (29*z^4)/a^8 + (55*z^4)/a^6 - (28*z^4)/a^4 + (6*z^4)/a^2 - 
   (6*z^6)/a^8 + (23*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 9601] -> 
  -20 + 4/a^2 + 33*a^2 - 19*a^4 + 3*a^6 - 42*z^2 + (8*z^2)/a^2 + 65*a^2*z^2 - 
   25*a^4*z^2 - 34*z^4 + (5*z^4)/a^2 + 54*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + z^6/a^2 + 25*a^2*z^6 + 7*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9602] -> 12 + 2/a^4 - 9/a^2 - 4*a^2 + a^4 - a^6 + 
   19*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   13*z^4 + z^4/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   5*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 9603] -> -6 - a^(-8) + 5/a^6 - 10/a^4 + 
   11/a^2 + 2*a^2 - 22*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + 
   (30*z^2)/a^2 + 6*a^2*z^2 - 29*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (33*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 9604] -> -9 - a^(-6) + a^(-4) + 5/a^2 + 7*a^2 - 
   3*a^4 + a^6 - 19*z^2 - z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 9605] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 27*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 
   27*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 15*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 9606] -> 
  -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 7*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + 
   (7*z^2)/a^4 + (13*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (9*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 9607] -> -3 + 3/a^6 - 12/a^4 + 14/a^2 - 
   a^2 - 3*z^2 + (6*z^2)/a^6 - (27*z^2)/a^4 + (32*z^2)/a^2 - 4*a^2*z^2 + 
   5*z^4 + (4*z^4)/a^6 - (25*z^4)/a^4 + (32*z^4)/a^2 - 6*a^2*z^4 + 9*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (18*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9608] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9609] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9610] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9611] -> -7 - 2/a^6 + 5/a^4 + 7*a^2 - 3*a^4 + a^6 - 
   10*z^2 - z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9612] -> -5 - a^(-6) + a^(-4) + 4/a^2 + 2*a^2 - a^4 + 
   a^6 - 11*z^2 - z^2/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9613] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9614] -> 
  2 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 - a^4 + a^6 + 3*z^2 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 9615] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 4*z^2 + 
   (4*z^2)/a^8 - (16*z^2)/a^6 + (15*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (14*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9616] -> 9 + 2/a^6 - 6/a^4 + a^(-2) - 5*a^2 + 23*z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 12*a^2*z^2 + 27*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 9617] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9618] -> -3 - a^(-8) + 2/a^6 + a^(-2) + 2*a^2 - a^4 + 
   a^6 - 5*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 2*z^4 - (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, Knot[15, Alternating, 9619] -> 
  1 - a^(-8) + 2/a^6 - 3*a^2 + a^4 + a^6 - 2*z^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 - 3*z^4 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 - a^4*z^4, Knot[15, Alternating, 9620] -> 
  a^(-6) - 4/a^4 + 4/a^2 + a^4 - a^6 + z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + z^6/a^2 + a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 9621] -> -17 - 4/a^4 + 14/a^2 + 10*a^2 - 
   2*a^4 - 39*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (31*z^2)/a^2 + 21*a^2*z^2 - 
   4*a^4*z^2 - 38*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9622] -> 
  -5 - 2/a^8 + 9/a^6 - 16/a^4 + 14/a^2 + a^2 - 14*z^2 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (37*z^2)/a^4 + (32*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9623] -> 
  -12 + 2/a^6 - 11/a^4 + 19/a^2 + 3*a^2 - 32*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (42*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (37*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9624] -> 
  -4 + 14*a^2 - 15*a^4 + 8*a^6 - 2*a^8 - 8*z^2 + 31*a^2*z^2 - 33*a^4*z^2 + 
   14*a^6*z^2 - a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 31*a^4*z^4 + 3*a^6*z^4 + 
   4*a^8*z^4 - z^6 + 12*a^2*z^6 - 17*a^4*z^6 - 7*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 9625] -> -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 
   36*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 20*a^2*z^2 - 2*a^4*z^2 - 34*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 7*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 9626] -> 
  -11 + 2/a^2 + 19*a^2 - 10*a^4 + a^6 - 27*z^2 + (5*z^2)/a^2 + 42*a^2*z^2 - 
   14*a^4*z^2 - a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 38*a^2*z^4 - a^4*z^4 - 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9627] -> -4 + 10*a^2 - 3*a^4 - 4*a^6 + 2*a^8 - 8*z^2 + 
   23*a^2*z^2 - 5*a^4*z^2 - 14*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 
   8*a^4*z^4 - 20*a^6*z^4 + 9*a^8*z^4 - z^6 + 11*a^2*z^6 - 9*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 9628] -> 
  -11 - 2/a^4 + 7/a^2 + 14*a^2 - 10*a^4 + 3*a^6 - 29*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 32*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 30*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 32*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9629] -> 
  5 - 2/a^2 - 4*a^2 + 6*a^4 - 6*a^6 + 2*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9630] -> 3 - 2/a^2 + 5*a^2 - 8*a^4 + 3*a^6 + 8*z^2 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 7*z^4 - 
   z^4/a^2 + a^2*z^4 - 15*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9631] -> -4 - 2/a^8 + 9/a^6 - 17/a^4 + 15/a^2 - 
   18*z^2 - z^2/a^8 + (12*z^2)/a^6 - (34*z^2)/a^4 + (40*z^2)/a^2 + 
   3*a^2*z^2 - 25*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + (41*z^4)/a^2 + 
   6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (20*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 9632] -> 
  -2 + 2/a^10 - 9/a^8 + 14/a^6 - 12/a^4 + 8/a^2 - 6*z^2 + z^2/a^10 - 
   (12*z^2)/a^8 + (31*z^2)/a^6 - (34*z^2)/a^4 + (24*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (37*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9633] -> 
  -6 - 2/a^4 + 7/a^2 - a^2 + 5*a^4 - 2*a^6 - 8*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - 5*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   13*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9634] -> -12 - 2/a^4 + 7/a^2 + 15*a^2 - 9*a^4 + 
   2*a^6 - 31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 35*a^2*z^2 - 19*a^4*z^2 + 
   4*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 35*a^2*z^4 - 18*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9635] -> 
  5 - 2/a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 9*z^2 - (3*z^2)/a^2 - 11*a^4*z^2 + 
   7*a^6*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 11*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 9636] -> 
  -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 32*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 28*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9637] -> 
  -2 + a^2 + 11*a^4 - 13*a^6 + 4*a^8 - 7*z^2 + 13*a^2*z^2 + 16*a^4*z^2 - 
   28*a^6*z^2 + 10*a^8*z^2 - 5*z^4 + 20*a^2*z^4 + 3*a^4*z^4 - 27*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 9638] -> -4 + 10*a^2 - 3*a^4 - 4*a^6 + 2*a^8 - z^2 - 
   (2*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 11*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 9639] -> -16 - 4/a^4 + 14/a^2 + 9*a^2 - 3*a^4 + a^6 - 
   40*z^2 - (4*z^2)/a^4 + (25*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - 38*z^4 - z^4/a^4 + (15*z^4)/a^2 + 28*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 17*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9640] -> 
  -5 + 4/a^6 - 16/a^4 + 19/a^2 - a^2 - 5*z^2 + (8*z^2)/a^6 - (36*z^2)/a^4 + 
   (43*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 + (5*z^4)/a^6 - (32*z^4)/a^4 + 
   (41*z^4)/a^2 - 8*a^2*z^4 + 12*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (22*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 9641] -> 
  4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 12*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 14*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 9642] -> 6/a^8 - 23/a^6 + 27/a^4 - 9/a^2 + 
   (17*z^2)/a^8 - (73*z^2)/a^6 + (94*z^2)/a^4 - (32*z^2)/a^2 + (17*z^4)/a^8 - 
   (91*z^4)/a^6 + (130*z^4)/a^4 - (40*z^4)/a^2 + (7*z^6)/a^8 - (56*z^6)/a^6 + 
   (97*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 9643] -> -2 + 4/a^8 - 14/a^6 + 13/a^4 - 9*z^2 + 
   (8*z^2)/a^8 - (31*z^2)/a^6 + (27*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^8 - (28*z^4)/a^6 + (26*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (16*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9644] -> -4 + 2/a^8 - 5/a^6 - a^(-4) + 9/a^2 - 
   10*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + (4*z^2)/a^4 + (21*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (10*z^4)/a^4 + (24*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 9645] -> -4 + 2/a^8 - 5/a^6 - a^(-4) + 9/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (7*z^4)/a^6 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 9646] -> -10 + 2/a^6 - 9/a^4 + 14/a^2 + 
   6*a^2 - 2*a^4 - 25*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (31*z^2)/a^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - (12*z^4)/a^4 + (29*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9647] -> -25 - 4/a^4 + 16/a^2 + 23*a^2 - 12*a^4 + 
   3*a^6 - 50*z^2 - (4*z^2)/a^4 + (26*z^2)/a^2 + 46*a^2*z^2 - 25*a^4*z^2 + 
   6*a^6*z^2 - 41*z^4 - z^4/a^4 + (15*z^4)/a^2 + 39*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 17*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9648] -> 
  7 - 2/a^6 + 7/a^4 - 9/a^2 - 2*a^2 - a^4 + a^6 + 11*z^2 - z^2/a^6 + 
   (9*z^2)/a^4 - (16*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9649] -> 
  -4 + 16*a^2 - 24*a^4 + 22*a^6 - 11*a^8 + 2*a^10 - 8*z^2 + 34*a^2*z^2 - 
   48*a^4*z^2 + 37*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 5*z^4 + 29*a^2*z^4 - 
   40*a^4*z^4 + 19*a^6*z^4 - a^8*z^4 - z^6 + 12*a^2*z^6 - 19*a^4*z^6 - 
   a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 9650] -> 
  -20 + 4/a^2 + 33*a^2 - 19*a^4 + 3*a^6 - 42*z^2 + (8*z^2)/a^2 + 65*a^2*z^2 - 
   25*a^4*z^2 - 34*z^4 + (5*z^4)/a^2 + 54*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + z^6/a^2 + 25*a^2*z^6 + 7*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9651] -> -7 - 2/a^6 + 5/a^4 + 7*a^2 - 3*a^4 + a^6 - 
   10*z^2 - z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9652] -> 12 + 2/a^4 - 9/a^2 - 4*a^2 + a^4 - a^6 + 
   19*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   13*z^4 + z^4/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   5*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 9653] -> 5 + 2/a^8 - 7/a^6 + 8/a^4 - 
   5/a^2 - 2*a^2 + 9*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^8 - (8*z^4)/a^6 + (9*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 9654] -> 
  -20 + 4/a^2 + 33*a^2 - 19*a^4 + 3*a^6 - 42*z^2 + (8*z^2)/a^2 + 65*a^2*z^2 - 
   25*a^4*z^2 - 34*z^4 + (5*z^4)/a^2 + 54*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + z^6/a^2 + 25*a^2*z^6 + 7*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 9655] -> -10 + 2/a^6 - 9/a^4 + 14/a^2 + 6*a^2 - 
   2*a^4 - 25*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (31*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 25*z^4 + z^4/a^6 - (12*z^4)/a^4 + (29*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9656] -> 
  -25 - 4/a^4 + 16/a^2 + 23*a^2 - 12*a^4 + 3*a^6 - 50*z^2 - (4*z^2)/a^4 + 
   (26*z^2)/a^2 + 46*a^2*z^2 - 25*a^4*z^2 + 6*a^6*z^2 - 41*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 39*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9657] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^6 - (3*z^2)/a^2 - 
   a^2*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9658] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9659] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 9660] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (18*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 9661] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + 
   a^10 - 2*z^2 + 11*a^2*z^2 - 21*a^4*z^2 + 24*a^6*z^2 - 13*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 28*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 9662] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 21*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 27*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 9663] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 22*a^4*z^2 + 
   25*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 15*a^2*z^4 - 29*a^4*z^4 + 
   27*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 9664] -> 3*a^6 - 4*a^8 + 4*a^10 - a^12 - a^14 + 
   10*a^6*z^2 - 9*a^8*z^2 + 9*a^10*z^2 + 7*a^12*z^2 - 6*a^14*z^2 + 
   12*a^6*z^4 - 12*a^8*z^4 + 5*a^10*z^4 + 17*a^12*z^4 - 5*a^14*z^4 + 
   6*a^6*z^6 - 12*a^8*z^6 - 5*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 9665] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 21*a^2*z^2 - 22*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + 
   z^4/a^2 + 25*a^2*z^4 - 27*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   15*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 9666] -> 
  a^4 + a^10 - a^14 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 6*a^10*z^2 + 
   3*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 5*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9667] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   23*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9668] -> 
  -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 12*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 27*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9669] -> -3 + a^(-2) + 6*a^2 - 6*a^4 + 
   5*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 22*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 28*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9670] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 3*z^2 + 
   14*a^2*z^2 - 22*a^4*z^2 + 23*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   16*a^2*z^4 - 29*a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 9671] -> 
  -9 + 4/a^2 + 11*a^2 - 9*a^4 + 5*a^6 - a^8 - 20*z^2 + (4*z^2)/a^2 + 
   27*a^2*z^2 - 25*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 - 14*z^4 + z^4/a^2 + 
   30*a^2*z^4 - 27*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 16*a^2*z^6 - 
   16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 9672] -> 2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 
   4*z^2 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + 7*z^4 - (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9673] -> -4 + a^(-6) - 2/a^4 + 3/a^2 + 4*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9674] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9675] -> -a^(-14) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (3*z^2)/a^14 + (8*z^2)/a^12 + (3*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9676] -> -2/a^12 + 5/a^10 - 6/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (16*z^2)/a^8 + (13*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (11*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9677] -> 
  -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (8*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 9678] -> -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^14 + 
   z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 9679] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   7*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9680] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 9681] -> 2*a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + 5*a^2*z^2 - 13*a^4*z^2 + 22*a^6*z^2 - 19*a^8*z^2 + 12*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 26*a^6*z^4 - 25*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 9682] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9683] -> 2*a^6 - a^8 + 2*a^12 - 2*a^14 + 9*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 + 11*a^12*z^2 - 7*a^14*z^2 + 12*a^6*z^4 - 
   10*a^8*z^4 + 2*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 
   12*a^8*z^6 - 6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 9684] -> 3*a^6 - 4*a^8 + 4*a^10 - a^12 - a^14 + 
   2*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 10*a^10*z^2 + 2*a^12*z^2 - 
   3*a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 7*a^8*z^4 + 7*a^10*z^4 + 6*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 9685] -> 
  -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 20*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 23*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 28*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9686] -> 
  a^2 - 2*a^4 + 5*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + 4*a^2*z^2 - 9*a^4*z^2 + 
   20*a^6*z^2 - 20*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   15*a^4*z^4 + 24*a^6*z^4 - 27*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 15*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 9687] -> 
  a^4 + a^6 - 3*a^8 + 5*a^10 - 3*a^12 + 3*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 
   8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9688] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   4*z^4 - (3*z^4)/a^2 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9689] -> 
  -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9690] -> 
  a^2 - a^4 + 2*a^6 - 2*a^8 + 3*a^10 - 2*a^12 + z^2 + a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + a^6*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 9691] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9692] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 9693] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 24*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 29*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (23*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9694] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9695] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9696] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 12*a^4*z^2 + 17*a^6*z^2 - 
   11*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 20*a^4*z^4 + 21*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 9697] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 
   4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + 
   (16*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (14*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9698] -> 
  -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 9699] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + z^2 - z^2/a^2 + 5*a^2*z^2 - 
   13*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 12*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 9700] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9701] -> -7 - a^(-4) + 5/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 27*z^4 - z^4/a^4 + (12*z^4)/a^2 + 28*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9702] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 9703] -> 
  -7 + 2/a^6 - 5/a^4 + 7/a^2 + 5*a^2 - a^4 - 23*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (22*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 27*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (28*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9704] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9705] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 5*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9706] -> -2/a^14 + 3/a^12 - a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (11*z^2)/a^12 - (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (6*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9707] -> 
  -a^(-14) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (10*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 9708] -> -a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (13*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9709] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 9710] -> 
  a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 
   22*a^6*z^2 - 21*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   16*a^4*z^4 + 26*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 9711] -> 
  a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 9712] -> a^6 + 2*a^8 - 4*a^10 + 5*a^12 - 
   3*a^14 + 7*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + 14*a^12*z^2 - 7*a^14*z^2 + 
   11*a^6*z^4 - 6*a^8*z^4 - a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 
   11*a^8*z^6 - 6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 9713] -> 2*a^6 - a^8 + 2*a^12 - 2*a^14 + 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 
   2*a^6*z^4 - 4*a^8*z^4 + 4*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 9714] -> 3*a^6 - 4*a^8 + 4*a^10 - a^12 - 
   a^14 + 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 9*a^10*z^2 + a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 9715] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 5*a^2*z^2 - 12*a^4*z^2 + 
   21*a^6*z^2 - 19*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   17*a^4*z^4 + 25*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 9716] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9717] -> 3*a^6 - 4*a^8 + 4*a^10 - a^12 - a^14 + 
   a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 7*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 9718] -> 2*a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 14*a^6*z^2 - 12*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 9719] -> 
  -5 - 3/a^8 + 9/a^6 - 11/a^4 + 9/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^8 + 
   (18*z^2)/a^6 - (28*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (30*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9720] -> 
  3 - a^(-8) + 2/a^6 - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 9721] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 13*a^6*z^2 - 12*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9722] -> 4 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 2*a^2 + 
   a^4 + 8*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 9*z^4 + (6*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 9723] -> -2/a^12 + 6/a^10 - 9/a^8 + 8/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (19*z^2)/a^8 + (18*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (13*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9724] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9725] -> 
  -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 19*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (22*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 9726] -> -10 - a^(-4) + 6/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   23*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 9727] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 12*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 20*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 9728] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 26*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 28*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 9729] -> 
  -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   26*a^2*z^2 - 28*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9730] -> 4*a^6 - 7*a^8 + 8*a^10 - 4*a^12 + 
   a^4*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 18*a^10*z^2 - 3*a^12*z^2 - 
   2*a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 14*a^8*z^4 + 14*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 9731] -> 
  2*a^2 - 5*a^4 + 9*a^6 - 9*a^8 + 7*a^10 - 3*a^12 + 5*a^2*z^2 - 13*a^4*z^2 + 
   25*a^6*z^2 - 24*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   17*a^4*z^4 + 27*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 16*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 9732] -> 
  1 - 2*a^2 + 3*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 2*z^2 - 4*a^2*z^2 + 
   6*a^4*z^2 - 4*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 9733] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 24*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 28*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9734] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 28*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (24*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 31*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (26*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9735] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9736] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 6*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 9737] -> 1 + a^(-8) - a^(-6) - a^2 + a^4 - 
   (3*z^2)/a^6 - a^2*z^2 - a^6*z^2 + z^4 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 9738] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - a^(-2) + z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 9739] -> -2 + a^(-2) + 3*a^2 - 3*a^6 + 3*a^8 - a^10 - 
   6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 
   6*z^4 + z^4/a^2 + 5*a^2*z^4 + a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 9740] -> a^4 + a^10 - a^14 + a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - 
   a^6*z^4 - a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 9741] -> 
  1 - a^2 + 3*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - 8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 9742] -> 
  -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   26*a^2*z^2 - 28*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   30*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9743] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   4*z^2 + z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9744] -> 
  4*a^6 - 7*a^8 + 8*a^10 - 4*a^12 + a^4*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 
   18*a^10*z^2 - 3*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 
   14*a^8*z^4 + 14*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 10*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9745] -> -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 9746] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 24*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 28*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9747] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 26*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 28*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 30*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 9748] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9749] -> 2*a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 
   3*a^10 - a^12 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 14*a^6*z^2 - 12*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 9750] -> 
  -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9751] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9752] -> -4 + a^(-6) - 2/a^4 + 3/a^2 + 4*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9753] -> 
  1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + 2*z^2 + a^2*z^2 - 11*a^4*z^2 + 
   12*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   8*a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9754] -> -2/a^12 + 6/a^10 - 9/a^8 + 8/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (19*z^2)/a^8 + (18*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (13*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9755] -> 
  2*a^2 - 5*a^4 + 9*a^6 - 9*a^8 + 7*a^10 - 3*a^12 + 5*a^2*z^2 - 13*a^4*z^2 + 
   25*a^6*z^2 - 24*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   17*a^4*z^4 + 27*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 16*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 9756] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9757] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9758] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9759] -> -1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + a^2 - 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^8/a^2, Knot[15, Alternating, 9760] -> 
  2 + 2/a^4 - 3/a^2 + a^2 - 4*a^4 + 4*a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9761] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^4 + a^6 - z^2 - (3*z^2)/a^4 - 
   a^4*z^2 - a^8*z^2 + 3*z^4 + (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 9762] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 18*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   18*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9763] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9764] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + 
   z^2 + (4*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (5*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9765] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   13*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 10*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 9766] -> 
  1 - a^2 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 2*z^2 - 3*a^2*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 3*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 9767] -> 
  a^4 - a^6 + 3*a^8 - 3*a^10 + 3*a^12 - 2*a^14 + 4*a^4*z^2 - 2*a^6*z^2 + 
   6*a^8*z^2 + a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4 + 4*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9768] -> a^4 + a^10 - a^14 + a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 9769] -> 
  -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 2*a^2 - 18*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (22*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9770] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 9771] -> 
  -1 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9772] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 18*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9773] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (16*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9774] -> 
  2*a^4 - 3*a^6 + 4*a^8 - 2*a^10 + a^12 - a^14 + 5*a^4*z^2 - 5*a^6*z^2 + 
   7*a^8*z^2 + 2*a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + 
   5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 5*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9775] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9776] -> 
  -3 - 2/a^8 + 5/a^6 - 6/a^4 + 6/a^2 + a^2 - 15*z^2 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9777] -> 
  -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 9778] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 17*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9779] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + 
   a^4 - 16*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + z^4/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9780] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 - z^2 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (20*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9781] -> 3*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 11*a^10*z^2 - 
   3*a^12*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - 18*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 8*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 9782] -> 1 - a^8 + 2*a^10 - a^12 + 2*z^2 - 3*a^4*z^2 - 
   2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 4*a^4*z^4 - 
   2*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 9783] -> -4/a^14 + 9/a^12 - 8/a^10 + 
   2/a^8 + 2/a^6 - (10*z^2)/a^14 + (37*z^2)/a^12 - (34*z^2)/a^10 + 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (6*z^4)/a^14 + (44*z^4)/a^12 - 
   (53*z^4)/a^10 - (2*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^14 + (20*z^6)/a^12 - 
   (41*z^6)/a^10 - (10*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - 
   (15*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 9784] -> -3/a^14 + 6/a^12 - 4/a^10 - a^(-8) + 3/a^6 - 
   (4*z^2)/a^14 + (16*z^2)/a^12 - (7*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (10*z^4)/a^10 - (17*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9785] -> -2/a^14 + 3/a^12 - 4/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (10*z^2)/a^12 + (2*z^2)/a^10 - (14*z^2)/a^8 + 
   (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (3*z^4)/a^10 - 
   (20*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 9786] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + 
   a^4 - 16*z^2 + z^2/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 14*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 8*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[15, Alternating, 9787] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 
   6/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - 
   (18*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9788] -> -3/a^14 + 6/a^12 - 5/a^10 + 2/a^8 + a^(-4) - 
   (4*z^2)/a^14 + (17*z^2)/a^12 - (11*z^2)/a^10 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (15*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9789] -> -2/a^14 + 3/a^12 - a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (7*z^2)/a^12 - (4*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 9790] -> -a^(-14) + 3/a^10 - 4/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 9791] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - z^2/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9792] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   20*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 25*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (26*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9793] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 22*z^2 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 27*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 9794] -> 
  1 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9795] -> -5 + 2/a^2 + 7*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   16*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   19*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9796] -> 
  -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 4*z^2 + 16*a^2*z^2 - 22*a^4*z^2 + 
   21*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 18*a^2*z^4 - 28*a^4*z^4 + 
   24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 9797] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9798] -> 3*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 2*z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 9799] -> 
  -4 + 2/a^2 + 6*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   19*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 9800] -> -8 + a^(-6) - 3/a^4 + 6/a^2 + 
   7*a^2 - 2*a^4 - 24*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9801] -> -2/a^14 + 3/a^12 - 4/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (10*z^2)/a^12 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - z^4/a^10 - 
   (25*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9802] -> -6 + 3/a^2 + 7*a^2 - 4*a^4 + a^8 - 19*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   8*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 9803] -> -3 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + a^4 - 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 9804] -> 2*a^4 - 2*a^6 + a^8 + 2*a^10 - 
   2*a^12 + 5*a^4*z^2 - 3*a^6*z^2 + 9*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 
   4*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 9805] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + 
   a^4 + 8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9806] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9807] -> -10 + 4/a^2 + 14*a^2 - 13*a^4 + 8*a^6 - 
   2*a^8 - 21*z^2 + (4*z^2)/a^2 + 33*a^2*z^2 - 34*a^4*z^2 + 20*a^6*z^2 - 
   5*a^8*z^2 - 14*z^4 + z^4/a^2 + 33*a^2*z^4 - 34*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 16*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 9808] -> 1 + 2/a^4 - 3/a^2 + 3*a^2 - 5*a^4 + 4*a^6 - 
   a^8 + 4*z^2 + z^2/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + 7*z^4 - (3*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9809] -> 5 + 2/a^4 - 4/a^2 - 3*a^2 - a^4 + 3*a^6 - 
   a^8 + 9*z^2 + z^2/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 9*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9810] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 2*z^2 - 
   (3*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 3*z^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 9811] -> 1 - a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 9812] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 4*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   (6*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, Knot[15, Alternating, 9813] -> 
  a^4 + a^10 - a^14 + 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 9*a^10*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + 11*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9814] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9815] -> -2/a^14 + 4/a^12 - 3/a^10 + a^(-6) + a^(-4) - 
   z^2/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 9816] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 4*z^2 - (4*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 
   a^4*z^2 + 3*z^4 + (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 9817] -> 
  -a^(-14) + a^(-12) - a^(-6) + 2/a^4 + z^2 + (3*z^2)/a^12 + z^2/a^10 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 9818] -> 
  1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 9819] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 9820] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9821] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9822] -> 3*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 2*z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 9823] -> 
  -12 + a^(-6) - 4/a^4 + 9/a^2 + 10*a^2 - 3*a^4 - 31*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (22*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9824] -> 
  -3/a^12 + 8/a^10 - 10/a^8 + 6/a^6 - (2*z^2)/a^14 + z^2/a^12 + 
   (16*z^2)/a^10 - (25*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (8*z^4)/a^10 - (28*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9825] -> 
  a^4 + a^6 - 3*a^8 + 5*a^10 - 3*a^12 + 4*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 
   13*a^10*z^2 - 2*a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 
   10*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9826] -> 2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + 
   a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + 4*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 9827] -> 1 - 2*a^2 + 4*a^4 - 4*a^6 + 3*a^8 - a^12 + 
   2*z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 9828] -> 2 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 
   3/a^4 - a^(-2) + 2*z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 - 
   (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - (9*z^4)/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^2 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 9829] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 
   14*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9830] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   4*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9831] -> a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9832] -> 
  1 - 3*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 2*z^2 - a^2*z^2 - 7*a^4*z^2 + 
   16*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 + 11*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9833] -> 1 - 2*a^2 + 3*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + 5*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9834] -> 3 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - 3*a^2 + 
   2*a^4 + 8*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 10*z^4 + (6*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 9835] -> 1 + 2/a^10 - 7/a^8 + 11/a^6 - 9/a^4 + 3/a^2 - 
   z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (21*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - 
   (21*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9836] -> 3 + a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9837] -> 
  -6 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 + a^2 + a^4 - 14*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (24*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 9838] -> -a^(-14) + 4/a^10 - 7/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (7*z^2)/a^12 + (7*z^2)/a^10 - (19*z^2)/a^8 + (14*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 + z^4/a^10 - (25*z^4)/a^8 + 
   (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (17*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9839] -> -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (11*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 9840] -> 
  -3/a^12 + 7/a^10 - 7/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (13*z^2)/a^10 - 
   (15*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (5*z^4)/a^10 - (15*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 9841] -> -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 
   27*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 30*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 26*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9842] -> -11 - 3/a^4 + 9/a^2 + 9*a^2 - 3*a^4 - 
   27*z^2 - (6*z^2)/a^4 + (21*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 30*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 26*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 9843] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 26*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 26*z^4 - z^4/a^4 + (11*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9844] -> 
  1 - a^8 + 2*a^10 - a^12 + z^2 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 9845] -> -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 
   z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   z^4 - (3*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9846] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 
   5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 9847] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - 
   a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 - z^2/a^10 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (4*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 9848] -> 
  -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 9849] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   a^6 + z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9850] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 26*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 26*z^4 - z^4/a^4 + (11*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9851] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 17*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9852] -> 1 + a^2 - 3*a^4 + 4*a^6 - 4*a^8 + 
   3*a^10 - a^12 + 2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 11*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 9853] -> a^4 + a^10 - a^14 + 3*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + 9*a^10*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 
   8*a^8*z^4 + 11*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9854] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[15, Alternating, 9855] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 
   8*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 9856] -> 
  -7 - a^(-4) + 5/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9857] -> -4 - 2/a^8 + 6/a^6 - 7/a^4 + 
   6/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (23*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (26*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9858] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   16*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9859] -> a^2 - a^4 + a^6 + a^8 - a^10 + a^12 - a^14 + 
   2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 2*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 9860] -> 
  -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (21*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9861] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9862] -> -2/a^12 + 5/a^10 - 6/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + (20*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (20*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9863] -> 1 - a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 
   a^(-4) + 2*z^2 + (4*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + z^4/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9864] -> 
  -2 + a^(-4) + 4*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9865] -> 
  a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (21*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9866] -> -2/a^14 + 3/a^12 - 4/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (10*z^2)/a^12 + (2*z^2)/a^10 - (16*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - z^4/a^10 - 
   (25*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 9867] -> -a^(-14) + 4/a^10 - 7/a^8 + 5/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - (13*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 9868] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2 + (5*z^2)/a^10 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 9869] -> -4 - 2/a^8 + 6/a^6 - 7/a^4 + 
   6/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (23*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (26*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9870] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9871] -> -4 + a^(-2) + 9*a^2 - 10*a^4 + 
   8*a^6 - 3*a^8 - 12*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 24*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 25*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9872] -> 5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 9*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9873] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 9874] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9875] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (22*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9876] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   10*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 10*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 9877] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9878] -> 
  -4 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + a^2 + a^4 - 6*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^2 - a^4*z^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 9879] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9880] -> 
  -2/a^14 + 3/a^12 - 4/a^8 + 4/a^6 - z^2/a^14 + (6*z^2)/a^12 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   z^4/a^10 - (12*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 9881] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 4/a^4 + a^(-2) + z^2 + 
   (5*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9882] -> 
  -4 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + a^2 + a^4 - 7*z^2 - (4*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - a^6*z^2 - 2*z^4 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 9883] -> -a^(-14) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) + 
   z^2 + (3*z^2)/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[15, Alternating, 9884] -> 3 - a^(-2) - 2*a^2 + 3*a^6 - 
   2*a^8 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 9885] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 9886] -> 
  1 - a^8 + 2*a^10 - a^12 + z^2 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 9887] -> -a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 7/a^4 + 
   4/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (21*z^2)/a^6 - 
   (17*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (21*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9888] -> a^(-4) - a^(-2) + 3*a^2 - 6*a^4 + 6*a^6 - 
   2*a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9889] -> -a^(-14) + 4/a^10 - 7/a^8 + 5/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - (13*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 9890] -> 
  a^2 - a^4 + 2*a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 2*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 - 
   a^4*z^4 - 3*a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 9891] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9892] -> 
  -13 + 2/a^6 - 7/a^4 + 13/a^2 + 7*a^2 - a^4 - 30*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (29*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (28*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 9893] -> 
  2 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 - a^2 + a^4 + 3*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9894] -> 2 - 2*a^2 + a^4 + a^6 - 3*a^8 + 3*a^10 - 
   a^12 + 3*z^2 - 5*a^2*z^2 + 5*a^6*z^2 - 11*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 6*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 9895] -> -3/a^12 + 7/a^10 - 7/a^8 + 
   5/a^6 - 3/a^4 + 2/a^2 - (4*z^2)/a^12 + (20*z^2)/a^10 - (23*z^2)/a^8 + 
   (17*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^12 + (15*z^4)/a^10 - 
   (31*z^4)/a^8 + (20*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - 
   (17*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 9896] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9897] -> 2 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 - a^2 + 
   a^4 + 6*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 8*z^4 + (6*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 9898] -> 1 - 2/a^12 + 4/a^10 - 3/a^8 + a^(-6) + 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (8*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 9899] -> 
  1 - a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + z^2 + 
   (3*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9900] -> 
  -a^(-14) + 4/a^10 - 7/a^8 + 5/a^6 - (3*z^2)/a^14 + (7*z^2)/a^12 + 
   (7*z^2)/a^10 - (19*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 + z^4/a^10 - (25*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9901] -> 
  -7 + 2/a^2 + 13*a^2 - 13*a^4 + 9*a^6 - 3*a^8 - 19*z^2 + (5*z^2)/a^2 + 
   32*a^2*z^2 - 31*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   32*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9902] -> -2 + 9*a^2 - 14*a^4 + 14*a^6 - 
   7*a^8 + a^10 - 5*z^2 + 22*a^2*z^2 - 34*a^4*z^2 + 32*a^6*z^2 - 13*a^8*z^2 + 
   2*a^10*z^2 - 4*z^4 + 21*a^2*z^4 - 35*a^4*z^4 + 29*a^6*z^4 - 10*a^8*z^4 + 
   a^10*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 9903] -> -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 
   22*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9904] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 6*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (21*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (25*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9905] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 5*a^8 + 3*a^10 - a^12 + 8*a^2*z^2 - 16*a^4*z^2 + 
   14*a^6*z^2 - 14*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 
   18*a^4*z^4 + 14*a^6*z^4 - 21*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 9906] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + 2*a^10 - a^12 + 3*z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 - 5*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 9907] -> 
  -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 21*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (21*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 16*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + (5*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 9908] -> 
  -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - 4*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - a^6*z^2 - 2*z^4 + (5*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 9909] -> 
  1 - 2/a^12 + 5/a^10 - 6/a^8 + 5/a^6 - 2/a^4 + 3*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (18*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 - (5*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9910] -> 
  1 - a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - a^(-4) + z^2 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9911] -> 
  5 + a^(-4) - 3/a^2 - 4*a^2 + 2*a^4 + a^6 - a^8 + 10*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 7*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9912] -> 4 - a^(-2) - 5*a^2 + 4*a^4 - a^8 + 8*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   6*z^4 - z^4/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9913] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   16*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + z^4/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9914] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 - z^2 + (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (20*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 9915] -> 3*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + 2*a^10 - 
   a^12 + 7*a^2*z^2 - 17*a^4*z^2 + 21*a^6*z^2 - 15*a^8*z^2 + 11*a^10*z^2 - 
   3*a^12*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 24*a^6*z^4 - 23*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 9916] -> 1 - 2*a^4 + 4*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 9917] -> 2 - 2*a^2 + a^4 + a^6 - 3*a^8 + 
   3*a^10 - a^12 + z^2 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   7*a^8*z^2 + 5*a^10*z^2 - 2*z^4 - 4*a^2*z^4 + a^6*z^4 - 7*a^8*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6, Knot[15, Alternating, 9918] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + a^4 + 2*a^6 - a^8 + 7*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9919] -> -a^(-12) + a^(-10) + a^(-8) - a^(-6) - 
   a^(-4) + 2/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 9920] -> 
  5 + 2/a^4 - 4/a^2 - 3*a^2 + a^4 - a^6 + a^8 + 8*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 9921] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (21*z^4)/a^6 - (15*z^4)/a^4 - 
   z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 9922] -> 
  -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9923] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (10*z^2)/a^10 - 
   (12*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 + (5*z^4)/a^10 - 
   (12*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 9924] -> 
  2*a^4 - a^6 - 2*a^8 + 6*a^10 - 5*a^12 + a^14 + 5*a^4*z^2 - 2*a^6*z^2 - 
   4*a^8*z^2 + 14*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 
   6*a^8*z^4 + 11*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   6*a^8*z^6 + a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 9925] -> -1 - 3/a^8 + 9/a^6 - 11/a^4 + 7/a^2 - 6*z^2 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (18*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9926] -> 4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 9927] -> 4*a^2 - 7*a^4 + 7*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + z^2 + 6*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 10*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 13*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 3*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 9928] -> -5 + 2/a^2 + 9*a^2 - 11*a^4 + 
   9*a^6 - 3*a^8 - 12*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 30*a^4*z^2 + 
   22*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 24*a^2*z^4 - 33*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 9929] -> 3 + a^(-4) - 2/a^2 - a^2 - 3*a^4 + 5*a^6 - 
   2*a^8 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 9930] -> -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 10*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 9931] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 
   4/a^4 + a^(-2) + z^2 + (5*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (6*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 9932] -> a^2 - a^6 + 2*a^8 - a^12 + 2*a^2*z^2 - 
   a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - a^14*z^2 + a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 9933] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 
   3/a^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9934] -> 
  -4 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + a^4 - 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 9935] -> -4 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + a^4 - 
   8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 9936] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 
   6/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (19*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (21*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9937] -> -4 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + a^2 + 
   a^4 - 6*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^2 - a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 9938] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9939] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9940] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 - (5*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 
   3*z^4 + (8*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 9941] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 10*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 9942] -> -1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + a^2 - 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^8/a^2, Knot[15, Alternating, 9943] -> 
  -10 - a^(-4) + 6/a^2 + 11*a^2 - 8*a^4 + 3*a^6 - 25*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 28*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 25*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 32*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9944] -> -2/a^12 + 5/a^10 - 6/a^8 + 
   6/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + 
   (20*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (20*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9945] -> 1 - a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 
   a^(-4) + 2*z^2 + (4*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + z^4/a^4 - (6*z^4)/a^2 + (3*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9946] -> 
  3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 9947] -> 1 - 2*a^2 + 3*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + 5*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9948] -> -7 + 2/a^6 - 5/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   23*z^2 + z^2/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 23*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 13*z^6 + (6*z^6)/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - a^2*z^8, 
 Knot[15, Alternating, 9949] -> -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   2*a^2 - 6*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - 3*z^4 + (6*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 4*z^6 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 9950] -> 
  -2 + a^(-4) + 4*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9951] -> 
  -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 9952] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9953] -> 1 - a^2 + a^4 + a^10 - a^12 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9954] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[15, Alternating, 9955] -> 
  2 + 2/a^4 - 3/a^2 + a^2 - 4*a^4 + 4*a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 9956] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9957] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9958] -> -6 - 4/a^8 + 12/a^6 - 15/a^4 + 12/a^2 + 
   2*a^2 - 17*z^2 - (4*z^2)/a^8 + (24*z^2)/a^6 - (37*z^2)/a^4 + 
   (30*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^8 + (15*z^4)/a^6 - 
   (37*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (17*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9959] -> 
  2 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 9960] -> 
  -3/a^12 + 8/a^10 - 10/a^8 + 6/a^6 - (2*z^2)/a^14 + z^2/a^12 + 
   (16*z^2)/a^10 - (25*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (8*z^4)/a^10 - (28*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 9961] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 9962] -> 1 + a^2 - 3*a^4 + 4*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9963] -> -5 - 3/a^8 + 9/a^6 - 11/a^4 + 9/a^2 + 2*a^2 - 
   12*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (28*z^2)/a^4 + (22*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 9964] -> -3/a^12 + 7/a^10 - 7/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (13*z^2)/a^10 - (15*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (5*z^4)/a^10 - (15*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 9965] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 9966] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9967] -> -6 + 2/a^2 + 10*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   15*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9968] -> 
  -3 - 2/a^10 + 5/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 2*a^2 - 7*z^2 - z^2/a^10 + 
   (9*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 9969] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-2) - a^2 + 
   a^4 - z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 9970] -> 
  -a^(-12) + a^(-10) + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 9971] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9972] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - a^(-6) + 2/a^4 - z^2/a^14 + 
   (4*z^2)/a^12 - z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - (4*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 9973] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9974] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 26*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 9975] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 8*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 10*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 9976] -> -4 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + 
   a^4 - 7*z^2 - z^2/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + (20*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 9977] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 9978] -> 1 + 2/a^10 - 7/a^8 + 11/a^6 - 9/a^4 + 3/a^2 - 
   z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (21*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - 
   (21*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 9979] -> 3 + a^(-10) - 2/a^8 + a^(-6) + 
   2/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 9980] -> 
  2 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 3/a^4 - a^(-2) + 2*z^2 + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (9*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^2 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 9981] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 + 6*a^2*z^2 - 
   15*a^4*z^2 + 13*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 3*a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 9982] -> -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 10*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 9983] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 9984] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 9985] -> -6 - 2/a^8 + 6/a^6 - 9/a^4 + 
   10/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + 
   (25*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (23*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9986] -> 
  -6 - 2/a^8 + 6/a^6 - 9/a^4 + 10/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (22*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (23*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 9987] -> 
  -14 - 2/a^4 + 9/a^2 + 12*a^2 - 5*a^4 + a^6 - 32*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 9988] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 9989] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^6 - 3*a^8 + 3*a^10 - a^12 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 - 
   2*z^4 - a^2*z^4 - a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6, Knot[15, Alternating, 9990] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 
   4/a^4 - 2/a^2 - a^2 + a^4 + 4*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[15, Alternating, 9991] -> 
  -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 9992] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 9993] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 9994] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + 2*a^10 - a^12 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 9995] -> -2 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2/a^2 + a^4 - 5*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - (5*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 9996] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 9997] -> -13 + 2/a^6 - 7/a^4 + 13/a^2 + 7*a^2 - a^4 - 
   30*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 9998] -> 
  2 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 - a^2 + a^4 + 3*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 9999] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10000] -> 
  -5 + 2/a^2 + 9*a^2 - 11*a^4 + 9*a^6 - 3*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 30*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 33*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 10001] -> 4*a^2 - 10*a^4 + 14*a^6 - 
   11*a^8 + 6*a^10 - 2*a^12 + 8*a^2*z^2 - 23*a^4*z^2 + 33*a^6*z^2 - 
   26*a^8*z^2 + 15*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 23*a^4*z^4 + 
   31*a^6*z^4 - 28*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 
   17*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 10002] -> a^(-4) - a^(-2) + 2*a^2 - 
   3*a^4 + 3*a^6 - a^8 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 4*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10003] -> 6 + a^(-8) - 3/a^6 + 6/a^4 - 7/a^2 - 4*a^2 + 
   2*a^4 + 11*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 - 8*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 10*z^4 + (6*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 10004] -> 1 - 2/a^12 + 7/a^10 - 12/a^8 + 13/a^6 - 
   8/a^4 + 2/a^2 + 3*z^2 - z^2/a^12 + (12*z^2)/a^10 - (26*z^2)/a^8 + 
   (31*z^2)/a^6 - (19*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (27*z^4)/a^6 - (15*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10005] -> 2 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 
   2/a^2 + 2*z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10006] -> -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 
   21*z^2 + z^2/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - 16*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 8*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 10007] -> -4 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + a^4 - 
   7*z^2 - z^2/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + (20*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (17*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 10008] -> 
  2 - 4*a^2 + 5*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 3*z^2 - 8*a^2*z^2 + 
   10*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   7*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 10009] -> -9 - 2/a^8 + 7/a^6 - 12/a^4 + 14/a^2 + 
   3*a^2 - 22*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (29*z^2)/a^4 + 
   (34*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (29*z^4)/a^4 + (34*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10010] -> 
  -1 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 - a^2 + a^4 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 10011] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 10012] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 10013] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 26*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10014] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10015] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10016] -> 4*a^2 - 9*a^4 + 11*a^6 - 7*a^8 + 
   3*a^10 - a^12 + 8*a^2*z^2 - 21*a^4*z^2 + 26*a^6*z^2 - 19*a^8*z^2 + 
   12*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 22*a^4*z^4 + 27*a^6*z^4 - 
   25*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 16*a^6*z^6 - 
   15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 10017] -> 2 - 3*a^2 + 2*a^4 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 3*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 10018] -> 3*a^2 - 8*a^4 + 13*a^6 - 12*a^8 + 
   8*a^10 - 3*a^12 + 7*a^2*z^2 - 20*a^4*z^2 + 32*a^6*z^2 - 27*a^8*z^2 + 
   18*a^10*z^2 - 4*a^12*z^2 + 5*a^2*z^4 - 21*a^4*z^4 + 30*a^6*z^4 - 
   29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 16*a^6*z^6 - 
   16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 10019] -> 1 - a^2 + 3*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   2*z^2 - 3*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 10020] -> -9 + 2/a^6 - 6/a^4 + 10/a^2 + 4*a^2 - 
   22*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 10021] -> 
  -3 + a^(-4) + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   10*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 2*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10022] -> 
  1 + a^(-4) - a^(-2) - 2*a^4 + 3*a^6 - a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10023] -> 
  1 - 3*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 2*z^2 - a^2*z^2 - 7*a^4*z^2 + 
   16*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 + 11*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 10024] -> -3 + a^(-4) + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 + 2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10025] -> -5 - 3/a^8 + 9/a^6 - 11/a^4 + 9/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (28*z^2)/a^4 + 
   (22*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (28*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10026] -> 
  a^4 + 2*a^6 - 6*a^8 + 9*a^10 - 6*a^12 + a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 
   13*a^8*z^2 + 21*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 
   14*a^8*z^4 + 17*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 10027] -> 1 - 2/a^12 + 7/a^10 - 12/a^8 + 13/a^6 - 
   8/a^4 + 2/a^2 + 3*z^2 - z^2/a^12 + (12*z^2)/a^10 - (26*z^2)/a^8 + 
   (31*z^2)/a^6 - (19*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (23*z^4)/a^8 + (27*z^4)/a^6 - (15*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10028] -> 2 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 
   2/a^2 + 2*z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10029] -> -12 + a^(-6) - 4/a^4 + 9/a^2 + 10*a^2 - 
   3*a^4 - 31*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 23*a^2*z^2 - 
   6*a^4*z^2 - 33*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 10030] -> 
  1 - a^(-12) + 5/a^10 - 11/a^8 + 14/a^6 - 10/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^12 + (9*z^2)/a^10 - (24*z^2)/a^8 + (32*z^2)/a^6 - (21*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (28*z^4)/a^6 - 
   (15*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10031] -> 
  -1 + a^(-10) - 6/a^8 + 13/a^6 - 14/a^4 + 8/a^2 - z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (27*z^2)/a^6 - (33*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (30*z^4)/a^4 + (12*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10032] -> 3*a^2 - 8*a^4 + 13*a^6 - 12*a^8 + 
   8*a^10 - 3*a^12 + 7*a^2*z^2 - 20*a^4*z^2 + 32*a^6*z^2 - 27*a^8*z^2 + 
   18*a^10*z^2 - 4*a^12*z^2 + 5*a^2*z^4 - 21*a^4*z^4 + 30*a^6*z^4 - 
   29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 16*a^6*z^6 - 
   16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 10033] -> -13 - 2/a^4 + 8/a^2 + 14*a^2 - 8*a^4 + 
   2*a^6 - 31*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 33*a^2*z^2 - 20*a^4*z^2 + 
   5*a^6*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 33*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10034] -> 
  1 - a^2 + 3*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + 
   6*a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 
   2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 10035] -> 
  -11 - a^(-8) + 5/a^6 - 11/a^4 + 15/a^2 + 4*a^2 - 25*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (28*z^2)/a^4 + (35*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (28*z^4)/a^4 + (35*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10036] -> 
  -14 + a^(-6) - 6/a^4 + 13/a^2 + 10*a^2 - 3*a^4 - 34*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (30*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10037] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 6*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10038] -> 1 + a^(-4) - a^(-2) - 2*a^4 + 3*a^6 - a^8 + 
   z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10039] -> -a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 - 3*a^2 + 
   2*a^4 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 10040] -> 
  -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 10041] -> -6 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 + a^2 + 
   a^4 - 14*z^2 - z^2/a^8 + (8*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (24*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (3*z^8)/a^2, Knot[15, Alternating, 10042] -> 
  -4 + 2/a^2 + 6*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   19*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 10043] -> a^(-4) - a^(-2) + 3*a^2 - 
   6*a^4 + 6*a^6 - 2*a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10044] -> 
  1 - 3*a^4 + 7*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 - 6*a^4*z^2 + 
   15*a^6*z^2 - 14*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 + 10*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 10045] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + a^4 + 2*a^6 - 
   a^8 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10046] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 
   5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 10047] -> -2 - a^(-6) + 3/a^4 - 2/a^2 + 7*a^2 - 
   6*a^4 + 2*a^6 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10048] -> -7 - 2/a^8 + 8/a^6 - 13/a^4 + 13/a^2 + a^2 + 
   a^4 - 17*z^2 - z^2/a^8 + (12*z^2)/a^6 - (29*z^2)/a^4 + (31*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 12*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + (29*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (14*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 10049] -> 
  2 - 5*a^2 + 8*a^4 - 7*a^6 + 4*a^8 - a^12 + 3*z^2 - 9*a^2*z^2 + 14*a^4*z^2 - 
   10*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 7*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 10050] -> 
  -1 + 2/a^10 - 9/a^8 + 15/a^6 - 13/a^4 + 7/a^2 - 4*z^2 + (3*z^2)/a^10 - 
   (18*z^2)/a^8 + (35*z^2)/a^6 - (31*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (33*z^4)/a^6 - (31*z^4)/a^4 + (18*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10051] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10052] -> -1 - 3/a^8 + 9/a^6 - 11/a^4 + 7/a^2 - 
   6*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (26*z^2)/a^4 + (17*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10053] -> 4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10054] -> 1 - a^2 + a^4 + a^10 - a^12 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 10055] -> -6 + 2/a^2 + 10*a^2 - 9*a^4 + 6*a^6 - 
   2*a^8 - 15*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 
   3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10056] -> 
  -4 + a^(-2) + 9*a^2 - 10*a^4 + 8*a^6 - 3*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   23*a^2*z^2 - 24*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10057] -> 2 - a^(-10) + 4/a^8 - 7/a^6 + 
   8/a^4 - 5/a^2 - a^2 + a^4 + 4*z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + 
   (13*z^2)/a^4 - (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - (6*z^4)/a^6 + 
   (9*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^2, Knot[15, Alternating, 10058] -> 
  -8 + a^(-6) - 3/a^4 + 6/a^2 + 7*a^2 - 2*a^4 - 24*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (19*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10059] -> 
  -25 + 2/a^6 - 11/a^4 + 23/a^2 + 17*a^2 - 5*a^4 - 50*z^2 + (3*z^2)/a^6 - 
   (20*z^2)/a^4 + (46*z^2)/a^2 + 31*a^2*z^2 - 7*a^4*z^2 - 42*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (38*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10060] -> 
  -5 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 6/a^2 + a^2 + a^4 - 9*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   4*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 10061] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + a^6 + a^10 - a^12 - 3*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 2*z^4 + a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 10062] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 20*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10063] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 6*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (21*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (25*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10064] -> 
  1 - 3*a^4 + 7*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 - 6*a^4*z^2 + 
   15*a^6*z^2 - 14*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 + 10*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 10065] -> -14 - 2/a^4 + 9/a^2 + 12*a^2 - 5*a^4 + a^6 - 
   32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10066] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10067] -> 
  3 + a^(-4) - 2/a^2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10068] -> 
  2 - 3*a^2 + a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 3*z^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 
   6*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 10069] -> -1 + a^(-2) + 2*a^4 - 2*a^6 + a^8 + a^10 - 
   a^12 - 2*z^2 + z^2/a^2 + 3*a^4*z^2 - 3*a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 
   a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 10070] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 10071] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 10072] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - 2*a^8 + 2*a^10 - a^12 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   2*a^4*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 10073] -> -13 + 2/a^6 - 7/a^4 + 13/a^2 + 7*a^2 - a^4 - 
   30*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 10074] -> 
  -14 - 2/a^4 + 9/a^2 + 12*a^2 - 5*a^4 + a^6 - 32*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10075] -> 
  2*a^4 - a^6 - 2*a^8 + 6*a^10 - 5*a^12 + a^14 + 5*a^4*z^2 - 2*a^6*z^2 - 
   4*a^8*z^2 + 14*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 
   6*a^8*z^4 + 11*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   6*a^8*z^6 + a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 10076] -> -10 + 4/a^2 + 14*a^2 - 13*a^4 + 8*a^6 - 
   2*a^8 - 21*z^2 + (4*z^2)/a^2 + 33*a^2*z^2 - 34*a^4*z^2 + 20*a^6*z^2 - 
   5*a^8*z^2 - 14*z^4 + z^4/a^2 + 33*a^2*z^4 - 34*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 16*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10077] -> -6 - 4/a^8 + 12/a^6 - 15/a^4 + 12/a^2 + 
   2*a^2 - 17*z^2 - (4*z^2)/a^8 + (24*z^2)/a^6 - (37*z^2)/a^4 + 
   (30*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^8 + (15*z^4)/a^6 - 
   (37*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (17*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10078] -> 
  1 + 2/a^4 - 3/a^2 + 3*a^2 - 5*a^4 + 4*a^6 - a^8 + 4*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10079] -> 2 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - 2*a^2 + 
   a^4 + 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - 5*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10080] -> -7 + 2/a^2 + 13*a^2 - 13*a^4 + 9*a^6 - 
   3*a^8 - 19*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 31*a^4*z^2 + 18*a^6*z^2 - 
   3*a^8*z^2 - 20*z^4 + (4*z^4)/a^2 + 32*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 10*z^6 + z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10081] -> 
  4*a^2 - 10*a^4 + 14*a^6 - 11*a^8 + 6*a^10 - 2*a^12 + 8*a^2*z^2 - 
   23*a^4*z^2 + 33*a^6*z^2 - 26*a^8*z^2 + 15*a^10*z^2 - 3*a^12*z^2 + 
   5*a^2*z^4 - 23*a^4*z^4 + 31*a^6*z^4 - 28*a^8*z^4 + 12*a^10*z^4 - 
   a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 17*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 
   2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 10082] -> -2 + 9*a^2 - 14*a^4 + 14*a^6 - 7*a^8 + 
   a^10 - 5*z^2 + 22*a^2*z^2 - 34*a^4*z^2 + 32*a^6*z^2 - 13*a^8*z^2 + 
   2*a^10*z^2 - 4*z^4 + 21*a^2*z^4 - 35*a^4*z^4 + 29*a^6*z^4 - 10*a^8*z^4 + 
   a^10*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10083] -> 2 - 5*a^2 + 8*a^4 - 7*a^6 + 4*a^8 - a^12 + 
   3*z^2 - 9*a^2*z^2 + 14*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 7*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + 3*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 10084] -> 2 - 3*a^2 + a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 10085] -> 
  -13 + 2/a^6 - 7/a^4 + 13/a^2 + 7*a^2 - a^4 - 30*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (29*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (28*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10086] -> 
  -14 - 2/a^4 + 9/a^2 + 12*a^2 - 5*a^4 + a^6 - 32*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10087] -> 
  1 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10088] -> 5*a^2 - 10*a^4 + 11*a^6 - 9*a^8 + 6*a^10 - 
   2*a^12 + 10*a^2*z^2 - 27*a^4*z^2 + 31*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 8*a^2*z^4 - 33*a^4*z^4 + 33*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 19*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10089] -> 
  2 - 2*a^2 + a^4 - a^8 + 2*a^10 - a^12 + 3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 8*a^2*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10090] -> 4*a^2 - 7*a^4 + 7*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 10*a^2*z^2 - 23*a^4*z^2 + 24*a^6*z^2 - 19*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 31*a^4*z^4 + 29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10091] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - 2*a^8 + 2*a^10 - a^12 + 3*z^2 - 2*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 - 
   4*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10092] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10093] -> 1 - a^(-12) + a^(-10) + a^(-8) - a^(-6) + 
   2*z^2 + (3*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + z^4 - 
   z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 10094] -> 2 - 2/a^10 + 5/a^8 - 5/a^6 + 
   4/a^4 - 3/a^2 + 3*z^2 - z^2/a^10 + (10*z^2)/a^8 - (13*z^2)/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 + (5*z^4)/a^8 - (12*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10095] -> -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-2) + 
   a^2 - 2*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 10096] -> 
  5*a^2 - 10*a^4 + 11*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 10*a^2*z^2 - 
   27*a^4*z^2 + 31*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   8*a^2*z^4 - 33*a^4*z^4 + 33*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 19*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10097] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10098] -> a^2 - a^4 + 2*a^6 - a^10 + 3*a^2*z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 
   5*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 3*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10099] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10100] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   5*z^2 + z^2/a^2 + 13*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10101] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 
   4*a^2*z^4 - 7*a^4*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10102] -> 
  a^2 - a^4 + 2*a^6 - a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 + z^4 + a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 10103] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 
   4*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10104] -> 
  1 - 2*a^2 + 3*a^4 - a^6 + a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 4*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 10105] -> 
  -3 - a^(-8) + 2/a^6 - 3/a^4 + 5/a^2 + a^2 - 11*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10106] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10107] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10108] -> 1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   z^2 + 3*a^2*z^2 - 13*a^4*z^2 + 16*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 6*a^2*z^4 - 19*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10109] -> 
  -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 12*z^2 + z^2/a^4 + 17*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10110] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   z^4/a^2 + 18*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10111] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 10112] -> 
  -3 - a^(-8) + 2/a^6 - 3/a^4 + 5/a^2 + a^2 - 11*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10113] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 8*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 10114] -> 1 - 2*a^2 + 3*a^4 - a^6 + a^8 - a^10 + 
   2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 - 4*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10115] -> 2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10116] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10117] -> -6 - a^(-8) + 3/a^6 - 6/a^4 + 
   9/a^2 + 2*a^2 - 16*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + 
   (23*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10118] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10119] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10120] -> -1 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 10121] -> 
  2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10122] -> -5 + 2/a^2 + 7*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   12*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10123] -> 
  -6 - a^(-8) + 3/a^6 - 6/a^4 + 9/a^2 + 2*a^2 - 16*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (16*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10124] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 7*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 6*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10125] -> 
  -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (21*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10126] -> -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 
   19*a^2*z^2 - 24*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   23*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10127] -> a^(-4) - a^(-2) + a^2 - a^4 + 
   2*a^6 - a^8 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10128] -> 4 - a^(-2) - 4*a^2 + 2*a^4 + a^6 - a^8 + 
   9*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10129] -> 
  -5 + 2/a^2 + 7*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10130] -> -1 + 6*a^2 - 9*a^4 + 8*a^6 - 
   3*a^8 - 5*z^2 + 19*a^2*z^2 - 24*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 23*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10131] -> 
  -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 3*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 
   17*a^6*z^2 - 7*a^8*z^2 + 2*z^4 + 2*a^2*z^4 - 9*a^4*z^4 + 20*a^6*z^4 - 
   5*a^8*z^4 + 4*z^6 - 6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 10132] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - z^2/a^2 + 
   a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10133] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - 3*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10134] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 2*z^2 + 
   2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 + a^4*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 10135] -> 2 - a^(-2) + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 12*a^4*z^4 - 
   4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 10136] -> a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10137] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   11*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10138] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + z^2 + a^2*z^2 - 12*a^4*z^2 + 
   15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 19*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10139] -> a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 
   9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10140] -> -2 + a^(-6) - 2/a^4 + 2/a^2 + 3*a^2 - a^4 - 
   5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10141] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10142] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10143] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10144] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10145] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10146] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 10147] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + (4*z^4)/a^4 - (7*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 10148] -> 
  2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + a^2*z^2 + 11*a^6*z^2 - 15*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 21*a^6*z^4 - 
   19*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10149] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 10150] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + z^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10151] -> 
  a^(-2) - 2*a^4 + 4*a^6 - 3*a^8 + a^10 - 2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 10152] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 
   3*a^6 - a^8 - z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10153] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   z^2/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 17*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10154] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10155] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 + 
   20*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 10156] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 10157] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 10158] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 10159] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   8*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10160] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10161] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 + 3*a^2*z^4 - 
   11*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10162] -> 2 - 2*a^2 - a^4 + 5*a^6 - 4*a^8 + a^10 + 
   z^2 + a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 19*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10163] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10164] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 - z^2/a^2 + 11*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 10165] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10166] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*a^2*z^4 - 
   11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10167] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10168] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10169] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 24*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10170] -> 
  -4 - a^(-6) + 4/a^2 + 3*a^2 - a^4 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10171] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10172] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 10173] -> 
  2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 6*a^6*z^2 - 
   15*a^8*z^2 + 19*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 - a^4*z^4 + 13*a^6*z^4 - 
   25*a^8*z^4 + 20*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   17*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 10174] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10175] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10176] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   5*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10177] -> 
  a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + a^2*z^2 - 2*a^4*z^2 + 11*a^6*z^2 - 
   12*a^8*z^2 + 5*a^10*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 14*a^6*z^4 - 
   9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 10178] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10179] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 17*a^6*z^2 - 
   13*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 24*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10180] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   z^4 + (6*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10181] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 
   z^2 + a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   6*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10182] -> 
  2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   10*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 + 5*a^6*z^4 - 13*a^8*z^4 + 
   9*a^10*z^4 - a^2*z^6 + 3*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 10183] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 - z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (8*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10184] -> 3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 - 
   z^2/a^2 + 11*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10185] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10186] -> 
  -4 - 2/a^6 + 3/a^4 + a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 - z^2/a^6 + z^2/a^4 + 
   (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10187] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + a^2*z^2 - a^4*z^2 + 
   6*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + z^4 - 3*a^2*z^4 + 6*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10188] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 + 3*a^2*z^4 - 
   11*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10189] -> a^2 + a^6 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + 
   a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 - 
   a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 10190] -> 
  -4 - a^(-6) + a^(-4) + 2/a^2 + 5*a^2 - 2*a^4 - 17*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10191] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10192] -> -2 - 3/a^8 + 5/a^6 - 4/a^4 + 5/a^2 - 7*z^2 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10193] -> -2 - 2/a^8 + 3/a^6 - 3/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10194] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 11*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10195] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   12*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10196] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10197] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 
   7*a^2*z^4 - 17*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10198] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 11*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10199] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10200] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10201] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10202] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10203] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10204] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 
   7*a^2*z^4 - 17*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10205] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10206] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   6*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10207] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + z^4 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10208] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10209] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10210] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10211] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 
   7*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 
   16*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 10212] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 10213] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10214] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 10215] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - z^2 + (6*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10216] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 19*a^6*z^4 - 16*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10217] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 
   11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 15*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10218] -> 1 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10219] -> 2 - a^(-2) + a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10220] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   9*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10221] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 10222] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 + 
   (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10223] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10224] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - 
   a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 19*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   11*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 10225] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   z^2 + a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10226] -> -a^(-6) + a^(-4) + a^(-2) - 6*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10227] -> 
  -1 - a^(-6) + 3/a^2 - z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10228] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 + a^2*z^2 - 
   7*a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 
   20*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10229] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10230] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 15*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10231] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   3*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 + z^4 - 3*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 10232] -> 2*a^4 - a^8 + a^2*z^2 - a^4*z^2 + 
   9*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 
   19*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10233] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10234] -> a^(-2) - a^2 + 2*a^6 - a^8 - 
   a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10235] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 6*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 10236] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 3*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 
   4*a^10*z^2 + z^4 - 3*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10237] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10238] -> -1 - 2/a^6 + 3/a^4 + 2*a^2 - a^4 - 9*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10239] -> 
  -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - a^4 - 4*z^2 + (4*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 10240] -> 
  -1 - 3/a^8 + 4/a^6 - a^(-4) + 2/a^2 - 6*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (6*z^6)/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10241] -> 
  -1 - 2/a^8 + 2/a^6 + 2/a^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10242] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10243] -> 
  1 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10244] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10245] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 + z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - a^4*z^2 + 
   2*z^4 + z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 10246] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 5*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 10247] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - z^2 + (6*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10248] -> 
  1 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10249] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10250] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10251] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 18*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10252] -> 
  5 - 2/a^2 - 2*a^2 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 7*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10253] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^6 + (8*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10254] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10255] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10256] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 22*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10257] -> 3*a^4 - 2*a^6 + a^2*z^2 - a^4*z^2 + 
   9*a^6*z^2 - 10*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   21*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10258] -> -a^(-4) + 2/a^2 - a^4 + 2*a^6 - a^8 + 
   3*z^2 - a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10259] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2 + z^2/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 10260] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 10261] -> 5 - 2/a^2 - 2*a^2 - a^4 + 2*a^6 - 
   a^8 + 2*z^2 - z^2/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10262] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10263] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - z^2/a^6 + (8*z^2)/a^2 - a^2*z^2 + 
   z^4 + z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10264] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 22*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10265] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 
   7*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   18*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 10266] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 + a^2*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - 7*a^4*z^4 + 15*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 
   8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 10267] -> -a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - a^4 - 5*z^2 + z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10268] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10269] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10270] -> 
  -a^(-4) + 2/a^2 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10271] -> a^(-2) - a^4 + a^6 - 3*z^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10272] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 10273] -> 
  1 + z^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 10274] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 
   2*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 10275] -> a^(-2) - a^4 + a^6 - 3*z^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10276] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 4*a^4*z^2 + 
   3*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 7*a^6*z^4 - 
   10*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 10277] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10278] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 4*a^4*z^2 + 
   3*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 7*a^6*z^4 - 
   10*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 10279] -> -a^(-4) + 2/a^2 - 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10280] -> 
  1 + z^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 10281] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10282] -> -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10283] -> 9*a^6 - 17*a^8 + 14*a^10 - 6*a^12 + 
   a^14 - 4*a^4*z^2 + 30*a^6*z^2 - 40*a^8*z^2 + 22*a^10*z^2 - 4*a^12*z^2 - 
   8*a^4*z^4 + 33*a^6*z^4 - 33*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - 
   5*a^4*z^6 + 18*a^6*z^6 - 9*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 2*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 10284] -> -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10285] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 10286] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 + 
   9*a^6*z^2 + 8*a^8*z^2 - 22*a^10*z^2 + 10*a^12*z^2 - 4*a^6*z^4 + 
   35*a^8*z^4 - 50*a^10*z^4 + 15*a^12*z^4 - 14*a^6*z^6 + 47*a^8*z^6 - 
   44*a^10*z^6 + 7*a^12*z^6 - 7*a^6*z^8 + 30*a^8*z^8 - 16*a^10*z^8 + 
   a^12*z^8 - a^6*z^10 + 9*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, 
 Knot[15, Alternating, 10287] -> a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 11*a^10*z^2 + 6*a^12*z^2 - 2*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - 18*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 7*a^6*z^6 + 
   7*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 10288] -> 
  2*a^4 - 2*a^10 + a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 6*a^10*z^2 + 
   4*a^12*z^2 - 3*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - 12*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 10289] -> 2*a^4 - 2*a^10 + a^12 + a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 4*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 10290] -> 3*a^4 - 2*a^6 + a^8 - 2*a^10 + 
   a^12 + 4*a^4*z^2 + a^6*z^2 - 7*a^10*z^2 + 4*a^12*z^2 - 2*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 12*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 
   3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 10291] -> 
  a^2 + a^4 - a^6 + a^8 - 2*a^10 + a^12 + a^2*z^2 + 2*a^4*z^2 - a^8*z^2 - 
   3*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 2*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 10292] -> 
  3*a^4 - 2*a^6 + a^8 - 2*a^10 + a^12 + 6*a^4*z^2 - 3*a^6*z^2 - 3*a^10*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 10293] -> a^2 + a^6 - 2*a^10 + a^12 + 
   a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[15, Alternating, 10294] -> 
  3*a^4 - 2*a^6 + a^8 - 2*a^10 + a^12 + 6*a^4*z^2 - 3*a^6*z^2 - 3*a^10*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 10295] -> a^2 + a^4 - a^6 + a^8 - 2*a^10 + 
   a^12 + 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 
   z^4 - a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 10296] -> a^2 + a^4 - a^6 + a^8 - 2*a^10 + 
   a^12 + 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 
   z^4 - a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 10297] -> 4*a^4 - 4*a^6 + 2*a^8 - 2*a^10 + 
   a^12 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 
   3*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 - 6*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 10298] -> 2*a^2 - a^4 + a^8 - 2*a^10 + a^12 + 
   a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 10299] -> 3 - a^(-2) - a^2 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10300] -> 
  4*a^4 - 4*a^6 + 2*a^8 - 2*a^10 + a^12 + 5*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 
   a^12*z^2 - a^2*z^4 + 6*a^6*z^4 - 9*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 10301] -> -1 + a^(-2) + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10302] -> 
  3 - a^(-2) - a^2 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10303] -> 
  4*a^4 - 4*a^6 + 2*a^8 - 2*a^10 + a^12 + 5*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 
   a^12*z^2 - a^2*z^4 + 6*a^6*z^4 - 9*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 10304] -> 1 + a^8 - 2*a^10 + a^12 + 
   a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - z^4 + 
   a^2*z^4 - a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6 + a^8*z^6, Knot[15, Alternating, 10305] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 10306] -> 
  -2 - 2/a^4 + 4/a^2 + 3*a^2 - 3*a^4 + a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10307] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10308] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10309] -> 
  -2 + 2*a^2 + 4*a^4 - a^6 - 3*a^8 + a^10 - 5*z^2 + 5*a^2*z^2 + 10*a^4*z^2 + 
   5*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 10*a^2*z^4 + 4*a^4*z^4 + 
   15*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10310] -> 4/a^12 - 13/a^10 + 9/a^8 + 3/a^6 - 2/a^4 + 
   (8*z^2)/a^12 - (39*z^2)/a^10 + (38*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^4)/a^12 - (40*z^4)/a^10 + (55*z^4)/a^8 + (17*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (39*z^6)/a^8 + (14*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 10311] -> 
  3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 2/a^4 + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (10*z^4)/a^8 + (23*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10312] -> 
  -2 + 2*a^2 + 4*a^4 - a^6 - 3*a^8 + a^10 - 3*z^2 - z^2/a^2 + 7*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 8*a^2*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 10313] -> 
  -1 - a^(-4) + a^(-2) + 6*a^2 - 5*a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10314] -> 2/a^12 - 5/a^10 - a^(-8) + 
   7/a^6 - 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 - z^2/a^8 + (23*z^2)/a^6 - 
   (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + 
   (28*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (16*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10315] -> -2 + 2/a^10 - 6/a^8 + 3/a^6 + a^(-4) + 
   3/a^2 - 5*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - 
   (10*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10316] -> 2/a^12 - 5/a^10 - a^(-8) + 
   7/a^6 - 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 - z^2/a^8 + (23*z^2)/a^6 - 
   (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + 
   (28*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (16*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10317] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10318] -> 
  2 - a^(-2) - 3*a^2 + 6*a^4 - a^6 - 3*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 9*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10319] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 10320] -> -1 - a^(-4) + a^(-2) + 6*a^2 - 
   5*a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 19*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 23*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10321] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10322] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (17*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 10323] -> 
  -3/a^14 + 13/a^12 - 17/a^10 + 4/a^8 + 4/a^6 - (7*z^2)/a^14 + 
   (35*z^2)/a^12 - (48*z^2)/a^10 + (10*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (38*z^4)/a^12 - (58*z^4)/a^10 + (4*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (39*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 10324] -> 
  -2 + a^(-10) - 2/a^8 - 2/a^6 + 3/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 10325] -> 
  a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^10 + (16*z^2)/a^8 - (20*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - (35*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 10326] -> 
  -2/a^12 + 9/a^10 - 15/a^8 + 13/a^6 - 8/a^4 + 4/a^2 - (3*z^2)/a^12 + 
   (18*z^2)/a^10 - (34*z^2)/a^8 + (32*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (33*z^4)/a^8 + (31*z^4)/a^6 - (23*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (17*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 10327] -> -2 + 4/a^8 - 15/a^6 + 15/a^4 - a^(-2) - 
   7*z^2 + (8*z^2)/a^8 - (39*z^2)/a^6 + (46*z^2)/a^4 - (2*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (40*z^4)/a^6 + (59*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (40*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10328] -> -4 + 11*a^2 - 10*a^4 + 8*a^6 - 5*a^8 + 
   a^10 - 8*z^2 + 24*a^2*z^2 - 20*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 23*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 
   11*a^2*z^6 - 11*a^4*z^6 - 2*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10329] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (4*z^2)/a^12 - (18*z^2)/a^10 + 
   (20*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + 
   (36*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10330] -> -4/a^18 + 19/a^16 - 28/a^14 + 10/a^12 + 
   4/a^10 - (4*z^2)/a^18 + (37*z^2)/a^16 - (84*z^2)/a^14 + (45*z^2)/a^12 + 
   (16*z^2)/a^10 - z^4/a^18 + (22*z^4)/a^16 - (89*z^4)/a^14 + (76*z^4)/a^12 + 
   (25*z^4)/a^10 + (4*z^6)/a^16 - (39*z^6)/a^14 + (60*z^6)/a^12 + 
   (19*z^6)/a^10 - (6*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 10331] -> 
  -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (21*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (35*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (29*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10332] -> -2 + 5/a^8 - 19/a^6 + 20/a^4 - 3/a^2 - 
   6*z^2 + (9*z^2)/a^8 - (46*z^2)/a^6 + (58*z^2)/a^4 - (8*z^2)/a^2 - 7*z^4 + 
   (5*z^4)/a^8 - (43*z^4)/a^6 + (69*z^4)/a^4 - (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (43*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10333] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 
   6*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10334] -> 
  -3/a^14 + 14/a^12 - 22/a^10 + 11/a^8 + a^(-6) - (7*z^2)/a^14 + 
   (36*z^2)/a^12 - (58*z^2)/a^10 + (28*z^2)/a^8 + (5*z^2)/a^6 - 
   (5*z^4)/a^14 + (38*z^4)/a^12 - (64*z^4)/a^10 + (21*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (40*z^6)/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 10335] -> 
  -2/a^14 + 8/a^12 - 9/a^10 - a^(-8) + 5/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - 
   (17*z^2)/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (13*z^4)/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 10336] -> 
  -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 7*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (19*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (32*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 10337] -> 
  -2 + a^(-10) - 2/a^8 - 2/a^6 + 3/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 10338] -> 
  -4 + a^(-10) - 3/a^8 + 3/a^6 - 6/a^4 + 10/a^2 - 10*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + (29*z^2)/a^2 - 9*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (28*z^4)/a^4 + (34*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10339] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (24*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10340] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10341] -> 
  a^(-8) - 4/a^6 + 4/a^4 - (4*z^2)/a^10 + (16*z^2)/a^8 - (20*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - (35*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 10342] -> 
  -7 - a^(-8) + 4/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (21*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10343] -> 
  a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (28*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - (28*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10344] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 
   2*z^2 + z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (29*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (32*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10345] -> 
  -2/a^12 + 9/a^10 - 14/a^8 + 8/a^6 - a^(-4) + a^(-2) - (3*z^2)/a^12 + 
   (18*z^2)/a^10 - (33*z^2)/a^8 + (24*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (33*z^4)/a^8 + (28*z^4)/a^6 - (14*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (17*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 10346] -> -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (18*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 10347] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 5/a^2 - 
   z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (28*z^2)/a^6 - (27*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - 
   (28*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10348] -> -2 + a^(-10) - 5/a^8 + 9/a^6 - 
   10/a^4 + 8/a^2 - 6*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - 
   (25*z^2)/a^4 + (21*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (27*z^4)/a^4 + (24*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10349] -> -a^(-12) + 6/a^10 - 13/a^8 + 11/a^6 - 
   3/a^4 + a^(-2) - z^2/a^12 + (9*z^2)/a^10 - (26*z^2)/a^8 + (28*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (29*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - (6*z^6)/a^8 + (16*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10350] -> 3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (25*z^2)/a^10 + (21*z^2)/a^8 + (14*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (28*z^4)/a^10 + (36*z^4)/a^8 + (16*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 10351] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 
   3/a^2 - 7*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + (19*z^2)/a^4 + (8*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + (32*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10352] -> -2 + a^2 + 8*a^4 - 6*a^6 - a^8 + a^10 - 
   5*z^2 + 5*a^2*z^2 + 17*a^4*z^2 - 10*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 10*a^2*z^4 + 12*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 8*a^2*z^6 + 
   a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10353] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (4*z^2)/a^12 - (18*z^2)/a^10 + 
   (20*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + 
   (36*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10354] -> -3 + 6*a^2 - a^4 + a^6 - 3*a^8 + a^10 - 
   7*z^2 + 16*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   2*z^4 - z^4/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 5*a^2*z^6 - 7*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 10355] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10356] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10357] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 16*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (26*z^2)/a^4 + (34*z^2)/a^2 + 3*a^2*z^2 - 24*z^4 + (4*z^4)/a^6 - 
   (21*z^4)/a^4 + (37*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 10358] -> 2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 - 
   z^2 + (2*z^2)/a^10 - (15*z^2)/a^8 + (31*z^2)/a^6 - (23*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - 
   (26*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10359] -> -2 + a^(-10) - 5/a^8 + 9/a^6 - 
   10/a^4 + 8/a^2 - 6*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - 
   (25*z^2)/a^4 + (21*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (27*z^4)/a^4 + (24*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10360] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - z^2/a^6 + (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   15*z^4 + (3*z^4)/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   5*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 10361] -> -7 - a^(-8) + 4/a^6 - 9/a^4 + 12/a^2 + 
   2*a^2 - 23*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (30*z^2)/a^2 + 
   7*a^2*z^2 - 30*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (32*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 10362] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (19*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 10363] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - (17*z^2)/a^10 + (16*z^2)/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^12 - (25*z^4)/a^10 + (33*z^4)/a^8 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 10364] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (9*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10365] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - 
   (18*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10366] -> -2 + a^2 + 8*a^4 - 6*a^6 - a^8 + 
   a^10 - 5*z^2 + 5*a^2*z^2 + 17*a^4*z^2 - 10*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 10*a^2*z^4 + 12*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 - z^6 + 
   8*a^2*z^6 + a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 
   4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10367] -> 
  -3/a^10 + 11/a^8 - 11/a^6 + 4/a^2 - (8*z^2)/a^10 + (37*z^2)/a^8 - 
   (38*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (40*z^4)/a^8 - 
   (54*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (39*z^6)/a^6 - (14*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10368] -> -a^(-12) + a^(-10) + 6/a^8 - 9/a^6 + 4/a^2 - 
   (3*z^2)/a^12 + (10*z^2)/a^10 + (6*z^2)/a^8 - (23*z^2)/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (4*z^4)/a^8 - (27*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 10369] -> -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (21*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 10370] -> -3/a^10 + 12/a^8 - 16/a^6 + 
   7/a^4 + a^(-2) - (8*z^2)/a^10 + (39*z^2)/a^8 - (51*z^2)/a^6 + 
   (15*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^10 + (41*z^4)/a^8 - (65*z^4)/a^6 + 
   (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - (42*z^6)/a^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 10371] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (2*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 10372] -> 
  -3/a^14 + 14/a^12 - 22/a^10 + 11/a^8 + a^(-6) - (7*z^2)/a^14 + 
   (36*z^2)/a^12 - (58*z^2)/a^10 + (28*z^2)/a^8 + (5*z^2)/a^6 - 
   (5*z^4)/a^14 + (38*z^4)/a^12 - (64*z^4)/a^10 + (21*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (40*z^6)/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 10373] -> 
  -2/a^14 + 8/a^12 - 9/a^10 - a^(-8) + 5/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - 
   (17*z^2)/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (13*z^4)/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 10374] -> 
  -2/a^10 + 8/a^8 - 11/a^6 + 5/a^4 + a^(-2) - (5*z^2)/a^10 + (25*z^2)/a^8 - 
   (32*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - 
   (43*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (31*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10375] -> -2/a^18 + 9/a^16 - 10/a^14 - 4/a^12 + 
   8/a^10 - z^2/a^18 + (14*z^2)/a^16 - (30*z^2)/a^14 - (3*z^2)/a^12 + 
   (29*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (28*z^4)/a^14 + (10*z^4)/a^12 + 
   (39*z^4)/a^10 + (3*z^4)/a^8 - (8*z^6)/a^14 + (13*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + (4*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 10376] -> -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (13*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - (5*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (8*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 10377] -> -a^(-12) + a^(-10) + 7/a^8 - 14/a^6 + 
   7/a^4 + a^(-2) - (3*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 - 
   (31*z^2)/a^6 + (12*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - 
   (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 10378] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (25*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (38*z^4)/a^4 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 10379] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (12*z^4)/a^4 - (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 10380] -> -2 + 5/a^8 - 19/a^6 + 20/a^4 - 3/a^2 - 
   6*z^2 + (9*z^2)/a^8 - (46*z^2)/a^6 + (58*z^2)/a^4 - (8*z^2)/a^2 - 7*z^4 + 
   (5*z^4)/a^8 - (43*z^4)/a^6 + (69*z^4)/a^4 - (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (43*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10381] -> -2/a^10 + 8/a^8 - 11/a^6 + 5/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (25*z^2)/a^8 - (32*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (29*z^4)/a^8 - (43*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (31*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 10382] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (4*z^2)/a^12 - (18*z^2)/a^10 + (17*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (35*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 10383] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 
   2*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (32*z^2)/a^4 - (7*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (41*z^4)/a^4 - (3*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10384] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10385] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (16*z^4)/a^8 - (16*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10386] -> -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (18*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 10387] -> 3/a^12 - 11/a^10 + 10/a^8 - a^(-6) + 
   (5*z^2)/a^12 - (28*z^2)/a^10 + (34*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (29*z^4)/a^10 + (45*z^4)/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (31*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 10388] -> a^(-12) - 2/a^10 - 4/a^8 + 
   8/a^6 - 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + (20*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10389] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 2*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 10390] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^12 - z^2/a^10 - (14*z^2)/a^8 + 
   (26*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (6*z^4)/a^8 + (27*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 10391] -> -a^(-6) + a^(-4) + a^(-2) - 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (14*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (18*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10392] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   z^2/a^6 + (11*z^2)/a^2 + 4*a^2*z^2 + a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + 
   (3*z^4)/a^2 - a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10393] -> 
  -5 - a^(-10) + 2/a^8 + 2/a^6 - 7/a^4 + 8/a^2 + a^2 + a^4 - 8*z^2 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - (6*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^2, Knot[15, Alternating, 10394] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (24*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10395] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10396] -> -5*a^2 + 14*a^4 - 9*a^6 + a^8 - 20*a^2*z^2 + 
   60*a^4*z^2 - 44*a^6*z^2 + 11*a^8*z^2 - 21*a^2*z^4 + 88*a^4*z^4 - 
   82*a^6*z^4 + 25*a^8*z^4 - 8*a^2*z^6 + 59*a^4*z^6 - 77*a^6*z^6 + 
   22*a^8*z^6 - a^2*z^8 + 18*a^4*z^8 - 39*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 
   10*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[15, Alternating, 10397] -> 
  -1 - a^2 + 9*a^4 - 7*a^6 + a^8 - 6*z^2 + 7*a^2*z^2 + 20*a^4*z^2 - 
   22*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 17*a^2*z^4 + 11*a^4*z^4 - 28*a^6*z^4 + 
   11*a^8*z^4 - z^6 + 11*a^2*z^6 - 4*a^4*z^6 - 19*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10398] -> -2 + 3*a^2 + 4*a^4 - 5*a^6 + a^8 - 7*z^2 + 
   14*a^2*z^2 + 7*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   18*a^6*z^4 + 8*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 14*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 10399] -> -2 + 3*a^2 + 4*a^4 - 5*a^6 + 
   a^8 - z^2 - (2*z^2)/a^2 + 11*a^2*z^2 + 2*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 9*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10400] -> -3 + 7*a^2 - a^4 - 3*a^6 + a^8 - 7*z^2 + 
   17*a^2*z^2 + a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 20*a^2*z^4 - 
   2*a^4*z^4 - 18*a^6*z^4 + 8*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10401] -> 
  1 - a^(-2) + 2*a^2 + a^4 - 3*a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   6*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 10402] -> 
  -3 + 7*a^2 - a^4 - 3*a^6 + a^8 - z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 10403] -> 
  2 - a^(-2) - 2*a^2 + 6*a^4 - 5*a^6 + a^8 + 6*z^2 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 10*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - 10*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10404] -> 1 - a^(-2) + 2*a^2 + a^4 - 3*a^6 + a^8 + 
   3*z^2 - z^2/a^4 + 3*a^2*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 10405] -> 
  -4 + 11*a^2 - 6*a^4 - a^6 + a^8 - 8*z^2 + 24*a^2*z^2 - 12*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 13*a^4*z^4 - 8*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 11*a^2*z^6 - 10*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10406] -> 5 - 2/a^2 - 3*a^2 + 3*a^4 - 3*a^6 + a^8 + 
   9*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 
   7*z^4 - z^4/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10407] -> -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 
   16*z^2 - z^2/a^8 + (9*z^2)/a^6 - (26*z^2)/a^4 + (34*z^2)/a^2 + 3*a^2*z^2 - 
   24*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (37*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 10408] -> -4 + 11*a^2 - 6*a^4 - a^6 + a^8 - 
   5*z^2 - z^2/a^2 + 22*a^2*z^2 - 14*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10409] -> -4 + 11*a^2 - 6*a^4 - a^6 + a^8 - 5*z^2 - 
   z^2/a^2 + 22*a^2*z^2 - 14*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10410] -> -a^(-4) + 2/a^2 - a^2 + 3*a^4 - 3*a^6 + 
   a^8 - z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 
   z^4 + (2*z^4)/a^2 - 3*a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - 
   a^6*z^6, Knot[15, Alternating, 10411] -> -a^(-18) + 5/a^16 - 6/a^14 - 
   4/a^12 + 7/a^10 + (6*z^2)/a^16 - (18*z^2)/a^14 - (3*z^2)/a^12 + 
   (24*z^2)/a^10 + (3*z^2)/a^8 - (12*z^4)/a^14 + (8*z^4)/a^12 + 
   (27*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 + (7*z^6)/a^12 + (11*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 10412] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 14*z^2 - z^2/a^6 + (11*z^2)/a^2 + 
   4*a^2*z^2 + a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + (3*z^4)/a^2 - a^4*z^4 + 
   a^6*z^4 - 4*z^6 - (3*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10413] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (6*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (5*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10414] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (16*z^4)/a^8 - (16*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10415] -> 3/a^12 - 11/a^10 + 10/a^8 - a^(-6) + 
   (5*z^2)/a^12 - (28*z^2)/a^10 + (34*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (29*z^4)/a^10 + (45*z^4)/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (31*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 10416] -> -a^(-6) + a^(-4) + a^(-2) - 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (14*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (18*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10417] -> -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (13*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - (5*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (8*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 10418] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (25*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (38*z^4)/a^4 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10419] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (12*z^4)/a^4 - (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 10420] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 - 
   (2*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (4*z^4)/a^8 + (20*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10421] -> 
  -3 + 7*a^2 - a^4 - 3*a^6 + a^8 + z^2 - z^2/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 4*a^4*z^4 - a^6*z^4 + 
   a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 10422] -> a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - 
   (17*z^2)/a^10 + (16*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (4*z^4)/a^12 - 
   (25*z^4)/a^10 + (33*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (28*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10423] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10424] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - (18*z^2)/a^10 + (17*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + (35*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 10425] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10426] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (16*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 10427] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 7*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 - z^6/a^6 + (12*z^6)/a^4 - (15*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 10428] -> 
  -8*a^2 + 26*a^4 - 24*a^6 + 7*a^8 - 24*a^2*z^2 + 85*a^4*z^2 - 82*a^6*z^2 + 
   25*a^8*z^2 - 22*a^2*z^4 + 104*a^4*z^4 - 117*a^6*z^4 + 35*a^8*z^4 - 
   8*a^2*z^6 + 62*a^4*z^6 - 91*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 18*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 10429] -> -2 + a^2 + 12*a^4 - 15*a^6 + 5*a^8 - 7*z^2 + 
   13*a^2*z^2 + 19*a^4*z^2 - 35*a^6*z^2 + 13*a^8*z^2 - 5*z^4 + 20*a^2*z^4 + 
   6*a^4*z^4 - 36*a^6*z^4 + 13*a^8*z^4 - z^6 + 11*a^2*z^6 - 6*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10430] -> 
  -4 + 10*a^2 - 2*a^4 - 6*a^6 + 3*a^8 - 8*z^2 + 23*a^2*z^2 - 3*a^4*z^2 - 
   19*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 7*a^4*z^4 - 24*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 11*a^2*z^6 - 9*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10431] -> -4 + 11*a^2 - 6*a^4 - a^6 + a^8 - 10*z^2 + 
   32*a^2*z^2 - 18*a^4*z^2 - 8*a^6*z^2 + 7*a^8*z^2 - 6*z^4 + 33*a^2*z^4 - 
   24*a^4*z^4 - 18*a^6*z^4 + 11*a^8*z^4 - z^6 + 14*a^2*z^6 - 18*a^4*z^6 - 
   17*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10432] -> 
  -a^(-2) + 6*a^2 - 4*a^4 - a^6 + a^8 + 5*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   11*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   14*a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 9*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10433] -> 4 - 2/a^2 + a^2 - 2*a^4 - a^6 + a^8 + 
   8*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 
   7*z^4 - z^4/a^2 + a^2*z^4 - 12*a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 10434] -> a^(-12) - 4/a^10 + 4/a^8 - 
   2/a^6 + 2/a^4 + z^2/a^12 - (6*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - 
   z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10435] -> 
  -1 - 3*a^2 + 17*a^4 - 17*a^6 + 5*a^8 - 4*z^2 - 2*a^2*z^2 + 38*a^4*z^2 - 
   39*a^6*z^2 + 11*a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 28*a^4*z^4 - 36*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 8*a^2*z^6 + 5*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10436] -> -3 + 6*a^2 + 3*a^4 - 8*a^6 + 3*a^8 - 4*z^2 - 
   z^2/a^2 + 14*a^2*z^2 + 3*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 + z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 10437] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 10438] -> a^(-10) - 5/a^8 + 5/a^6 + z^2 - z^2/a^10 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10439] -> -4 + 10*a^2 - 2*a^4 - 6*a^6 + 3*a^8 - z^2 - 
   (2*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 10*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10440] -> 4 - 2/a^2 + a^2 - 2*a^4 - a^6 + a^8 + 
   7*z^2 - z^2/a^4 - a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 10441] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 10442] -> 
  5 - 2/a^2 - 4*a^2 + 7*a^4 - 8*a^6 + 3*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 9*a^4*z^2 - 15*a^6*z^2 + 6*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10443] -> -1 - a^(-4) + 2/a^2 + 3*a^2 - 2*a^4 - a^6 + 
   a^8 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 10444] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (16*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 10445] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2 - z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10446] -> -2 + a^2 + 12*a^4 - 15*a^6 + 5*a^8 - 5*z^2 + 
   5*a^2*z^2 + 27*a^4*z^2 - 35*a^6*z^2 + 11*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 
   20*a^4*z^4 - 34*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 + 3*a^4*z^6 - 
   18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10447] -> 
  -2 + 2*a^2 + 8*a^4 - 10*a^6 + 3*a^8 - 5*z^2 + 5*a^2*z^2 + 22*a^4*z^2 - 
   25*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 17*a^4*z^4 - 24*a^6*z^4 + 
   7*a^8*z^4 - z^6 + 8*a^2*z^6 + 2*a^4*z^6 - 13*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10448] -> 2 - a^(-2) - 3*a^2 + 10*a^4 - 10*a^6 + 
   3*a^8 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 17*a^4*z^2 - 18*a^6*z^2 + 
   5*a^8*z^2 + 4*z^4 - z^4/a^2 + 10*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 + 
   2*z^6 - a^2*z^6 + a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 10449] -> -a^(-2) + 6*a^2 - 4*a^4 - a^6 + 
   a^8 + 2*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10450] -> 1 - a^(-2) + a^2 + 5*a^4 - 8*a^6 + 3*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 3*a^2*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10451] -> -3 + 5*a^2 + 4*a^4 - 7*a^6 + 2*a^8 - 7*z^2 + 
   13*a^2*z^2 + 9*a^4*z^2 - 13*a^6*z^2 + 3*a^8*z^2 - 2*z^4 - z^4/a^2 + 
   13*a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 
   a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10452] -> a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + 
   (2*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (2*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (2*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 10453] -> 
  2/a^10 - 9/a^8 + 13/a^6 - 8/a^4 + 3/a^2 - z^2 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (31*z^2)/a^6 - (23*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (28*z^4)/a^6 - (26*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10454] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - 
   (18*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10455] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 
   2*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (32*z^2)/a^4 - (7*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (41*z^4)/a^4 - (3*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10456] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 2*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 10457] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^12 - z^2/a^10 - (14*z^2)/a^8 + 
   (26*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (6*z^4)/a^8 + (27*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 10458] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10459] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + 
   (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10460] -> -9*a^2 + 30*a^4 - 29*a^6 + 9*a^8 - 
   24*a^2*z^2 + 88*a^4*z^2 - 88*a^6*z^2 + 27*a^8*z^2 - 22*a^2*z^4 + 
   104*a^4*z^4 - 119*a^6*z^4 + 35*a^8*z^4 - 8*a^2*z^6 + 62*a^4*z^6 - 
   91*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 18*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 10461] -> -3 + 5*a^2 + 7*a^4 - 13*a^6 + 5*a^8 - 
   7*z^2 + 16*a^2*z^2 + 13*a^4*z^2 - 33*a^6*z^2 + 13*a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 + 4*a^4*z^4 - 36*a^6*z^4 + 13*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   6*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10462] -> 
  -3 + 5*a^2 + 7*a^4 - 13*a^6 + 5*a^8 - 7*z^2 + 16*a^2*z^2 + 13*a^4*z^2 - 
   33*a^6*z^2 + 13*a^8*z^2 - 5*z^4 + 20*a^2*z^4 + 4*a^4*z^4 - 36*a^6*z^4 + 
   13*a^8*z^4 - z^6 + 11*a^2*z^6 - 6*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10463] -> -a^(-2) + 5*a^2 - 6*a^6 + 3*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 10*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10464] -> -6 + 19*a^2 - 16*a^4 + 3*a^6 + a^8 - 
   11*z^2 + 42*a^2*z^2 - 37*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 
   36*a^2*z^4 - 37*a^4*z^4 - 8*a^6*z^4 + 8*a^8*z^4 - z^6 + 14*a^2*z^6 - 
   21*a^4*z^6 - 12*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10465] -> 
  3 - 2/a^2 + 5*a^2 - 7*a^4 + a^6 + a^8 + 8*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   14*a^4*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 - 14*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 10466] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 7*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 - z^6/a^6 + (12*z^6)/a^4 - (15*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 10467] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 10468] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10469] -> 
  8 - 3/a^2 - 4*a^2 - a^6 + a^8 + 15*z^2 - (4*z^2)/a^2 - 9*a^2*z^2 - 
   a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 10*z^4 - z^4/a^2 - 9*a^2*z^4 - 
   4*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 5*a^2*z^6 - 4*a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10470] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^6 + a^8 + 
   3*z^2 - z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 10471] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (13*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10472] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - z^2/a^6 + (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   15*z^4 + (3*z^4)/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   5*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 10473] -> -7 - a^(-8) + 4/a^6 - 9/a^4 + 12/a^2 + 
   2*a^2 - 23*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (30*z^2)/a^2 + 
   7*a^2*z^2 - 30*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (32*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 10474] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (19*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 10475] -> 
  -1 - 3*a^2 + 17*a^4 - 17*a^6 + 5*a^8 - 4*z^2 - 2*a^2*z^2 + 38*a^4*z^2 - 
   39*a^6*z^2 + 11*a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 28*a^4*z^4 - 36*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 8*a^2*z^6 + 5*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10476] -> -3 + 6*a^2 + 3*a^4 - 8*a^6 + 3*a^8 - 4*z^2 - 
   z^2/a^2 + 14*a^2*z^2 + 3*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 + z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 10477] -> a^(-10) - 6/a^8 + 12/a^6 - 
   11/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - 
   (29*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - 
   (32*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10478] -> -2 + a^2 + 12*a^4 - 15*a^6 + 5*a^8 - 5*z^2 + 
   5*a^2*z^2 + 27*a^4*z^2 - 35*a^6*z^2 + 11*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 
   20*a^4*z^4 - 34*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 + 3*a^4*z^6 - 
   18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10479] -> 
  1 - a^(-2) + a^2 + 5*a^4 - 8*a^6 + 3*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 + 7*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 10480] -> 
  -1 - a^(-2) + 10*a^2 - 9*a^4 + a^6 + a^8 + z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 
   21*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 
   22*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 12*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10481] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10482] -> 
  -8*a^2 + 26*a^4 - 24*a^6 + 7*a^8 - 24*a^2*z^2 + 85*a^4*z^2 - 82*a^6*z^2 + 
   25*a^8*z^2 - 22*a^2*z^4 + 104*a^4*z^4 - 117*a^6*z^4 + 35*a^8*z^4 - 
   8*a^2*z^6 + 62*a^4*z^6 - 91*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 18*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 10483] -> -2 + a^2 + 12*a^4 - 15*a^6 + 5*a^8 - 7*z^2 + 
   13*a^2*z^2 + 19*a^4*z^2 - 35*a^6*z^2 + 13*a^8*z^2 - 5*z^4 + 20*a^2*z^4 + 
   6*a^4*z^4 - 36*a^6*z^4 + 13*a^8*z^4 - z^6 + 11*a^2*z^6 - 6*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10484] -> 
  -4 + 10*a^2 - 2*a^4 - 6*a^6 + 3*a^8 - 8*z^2 + 23*a^2*z^2 - 3*a^4*z^2 - 
   19*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 7*a^4*z^4 - 24*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 11*a^2*z^6 - 9*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10485] -> -4 + 10*a^2 - 2*a^4 - 6*a^6 + 3*a^8 - z^2 - 
   (2*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 10*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10486] -> -6 + 19*a^2 - 16*a^4 + 3*a^6 + a^8 - 
   11*z^2 + 42*a^2*z^2 - 37*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 
   36*a^2*z^4 - 37*a^4*z^4 - 8*a^6*z^4 + 8*a^8*z^4 - z^6 + 14*a^2*z^6 - 
   21*a^4*z^6 - 12*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10487] -> 
  3 - 2/a^2 + 5*a^2 - 7*a^4 + a^6 + a^8 + 8*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   14*a^4*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 - 14*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 10488] -> 
  5 - 2/a^2 - 4*a^2 + 7*a^4 - 8*a^6 + 3*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 9*a^4*z^2 - 15*a^6*z^2 + 6*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10489] -> -8 + 28*a^2 - 30*a^4 + 12*a^6 - a^8 - 
   12*z^2 + 52*a^2*z^2 - 59*a^4*z^2 + 18*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   39*a^2*z^4 - 50*a^4*z^4 + 4*a^6*z^4 + 5*a^8*z^4 - z^6 + 14*a^2*z^6 - 
   24*a^4*z^6 - 7*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10490] -> 
  12 - 4/a^2 - 9*a^2 + 2*a^4 - a^6 + a^8 + 18*z^2 - (4*z^2)/a^2 - 
   16*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 10*z^4 - z^4/a^2 - 
   12*a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^2*z^6 - 
   3*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10491] -> -2 - 2/a^4 + 5/a^2 - a^6 + a^8 - 4*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6 - a^6*z^6, Knot[15, Alternating, 10492] -> 
  -a^(-6) + 2/a^4 - a^6 + a^8 - z^2 + (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 - 
   a^6*z^4, Knot[15, Alternating, 10493] -> -3/a^12 + 6/a^10 - 2/a^8 - 
   4/a^6 + 4/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - 
   (8*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 10494] -> -14 + 2/a^6 - 7/a^4 + 12/a^2 + 
   12*a^2 - 4*a^4 - 35*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (32*z^2)/a^2 + 
   22*a^2*z^2 - 4*a^4*z^2 - 34*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (33*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10495] -> 4*a^6 - 7*a^8 + 11*a^10 - 11*a^12 + 5*a^14 - 
   a^16 + 12*a^6*z^2 - 19*a^8*z^2 + 29*a^10*z^2 - 16*a^12*z^2 + 2*a^14*z^2 + 
   13*a^6*z^4 - 22*a^8*z^4 + 25*a^10*z^4 - 3*a^14*z^4 + 6*a^6*z^6 - 
   15*a^8*z^6 + 5*a^10*z^6 + 7*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   3*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 10496] -> -6 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 + a^2 + 
   a^4 - 8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10497] -> 
  -6 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10498] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 8*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10499] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10500] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10501] -> -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 
   2*a^6 - 25*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 10502] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 23*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 25*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10503] -> -3 - 2/a^8 + 7/a^6 - 10/a^4 + 
   8/a^2 + a^2 - 5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + 
   (16*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10504] -> 
  -3/a^12 + 7/a^10 - 7/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (13*z^2)/a^10 - (20*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (6*z^4)/a^10 - (25*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 10505] -> 
  -9 + 2/a^6 - 7/a^4 + 11/a^2 + 5*a^2 - a^4 - 25*z^2 + (5*z^2)/a^6 - 
   (18*z^2)/a^4 + (27*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (30*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (10*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10506] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 25*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10507] -> 
  -10 + a^(-6) - 5/a^4 + 10/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (23*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10508] -> 
  1 - 2/a^12 + 6/a^10 - 9/a^8 + 9/a^6 - 5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (20*z^2)/a^8 + (21*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (19*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10509] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10510] -> -4 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + a^4 - 
   4*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10511] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10512] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - 11*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 28*a^4*z^2 + 19*a^6*z^2 - 
   5*a^8*z^2 - 10*z^4 + z^4/a^2 + 26*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10513] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   25*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 10514] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 15*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10515] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10516] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10517] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10518] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10519] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   17*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 
   14*z^4 + z^4/a^2 + 27*a^2*z^4 - 24*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 16*a^2*z^6 - 15*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10520] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 20*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (21*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (27*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10521] -> -2 + a^(-4) + 4*a^2 - 4*a^4 + 
   2*a^6 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10522] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 
   3*z^2 + (3*z^2)/a^10 - (12*z^2)/a^8 + (21*z^2)/a^6 - (22*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - 
   (27*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - 
   (16*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10523] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10524] -> -4/a^14 + 9/a^12 - 9/a^10 + 
   4/a^8 + a^(-6) - (10*z^2)/a^14 + (38*z^2)/a^12 - (39*z^2)/a^10 + 
   (13*z^2)/a^8 + (10*z^2)/a^6 - (6*z^4)/a^14 + (47*z^4)/a^12 - 
   (61*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - z^6/a^14 + (21*z^6)/a^12 - 
   (46*z^6)/a^10 - (8*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (16*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 10525] -> -3/a^14 + 6/a^12 - 5/a^10 + a^(-8) + 2/a^6 - 
   (4*z^2)/a^14 + (17*z^2)/a^12 - (10*z^2)/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (12*z^4)/a^10 - 
   (17*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 10526] -> -2/a^14 + 3/a^12 - a^(-10) - 
   2/a^8 + 3/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - z^2/a^10 - (10*z^2)/a^8 + 
   (9*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (6*z^4)/a^10 - 
   (18*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 10527] -> -2/a^14 + 3/a^12 - a^(-10) - 
   2/a^8 + 3/a^6 - z^2/a^14 + (7*z^2)/a^12 + z^2/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (11*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 10528] -> 
  -a^(-14) + 3/a^10 - 5/a^8 + 4/a^6 - (3*z^2)/a^14 + (8*z^2)/a^12 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (3*z^4)/a^10 - (20*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 10529] -> 
  -a^(-14) + a^(-12) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (4*z^2)/a^12 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (9*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 10530] -> 5*a^8 - 9*a^10 + 10*a^12 - 5*a^14 + 
   25*a^8*z^2 - 40*a^10*z^2 + 50*a^12*z^2 - 20*a^14*z^2 + 41*a^8*z^4 - 
   72*a^10*z^4 + 82*a^12*z^4 - 21*a^14*z^4 + 29*a^8*z^6 - 71*a^10*z^6 + 
   58*a^12*z^6 - 8*a^14*z^6 + 9*a^8*z^8 - 38*a^10*z^8 + 18*a^12*z^8 - 
   a^14*z^8 + a^8*z^10 - 10*a^10*z^10 + 2*a^12*z^10 - a^10*z^12, 
 Knot[15, Alternating, 10531] -> a^6 + 2*a^8 - 5*a^10 + 7*a^12 - 4*a^14 + 
   7*a^6*z^2 + 3*a^8*z^2 - 8*a^10*z^2 + 22*a^12*z^2 - 10*a^14*z^2 + 
   11*a^6*z^4 - 3*a^8*z^4 - 9*a^10*z^4 + 27*a^12*z^4 - 6*a^14*z^4 + 
   6*a^6*z^6 - 10*a^8*z^6 - 11*a^10*z^6 + 13*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 6*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 10532] -> 2*a^6 - a^8 - a^10 + 4*a^12 - 3*a^14 + 
   9*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + 13*a^12*z^2 - 7*a^14*z^2 + 
   12*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 
   6*a^6*z^6 - 12*a^8*z^6 - 6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 10533] -> 2*a^6 - a^8 - a^10 + 4*a^12 - 3*a^14 + 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 + 8*a^12*z^2 - 4*a^14*z^2 + 
   3*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 + 8*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 10534] -> 
  3*a^6 - 4*a^8 + 3*a^10 + a^12 - 2*a^14 + 10*a^6*z^2 - 8*a^8*z^2 + 
   6*a^10*z^2 + 11*a^12*z^2 - 7*a^14*z^2 + 12*a^6*z^4 - 11*a^8*z^4 + 
   2*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 12*a^8*z^6 - 
   6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 10535] -> 
  a^4 + 2*a^12 - 2*a^14 + 3*a^4*z^2 + 2*a^6*z^2 + 4*a^10*z^2 + 5*a^12*z^2 - 
   3*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 4*a^10*z^4 + 6*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 10536] -> 
  -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 22*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 25*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10537] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10538] -> -2 - 2/a^8 + 6/a^6 - 7/a^4 + 5/a^2 + a^2 - 
   12*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (22*z^2)/a^4 + (18*z^2)/a^2 + 
   4*a^2*z^2 - 17*z^4 - z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + 
   (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10539] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10540] -> 3*a^6 - 4*a^8 + 3*a^10 + a^12 - 2*a^14 + 
   2*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + 4*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 10541] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 4*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 10542] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 10543] -> 
  -2/a^14 + 4/a^12 - 4/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + (8*z^2)/a^12 - 
   (5*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 10544] -> a^4 - a^6 + 3*a^8 - 4*a^10 + 5*a^12 - 
   3*a^14 + 4*a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 + 11*a^12*z^2 - 
   4*a^14*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - 5*a^10*z^4 + 9*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - 2*a^8*z^6 - 4*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 10545] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10546] -> a^4 + 2*a^12 - 2*a^14 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + 4*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 - a^6*z^4 - a^8*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 10547] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + 2*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10548] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10549] -> -3/a^12 + 7/a^10 - 8/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (13*z^2)/a^10 - (19*z^2)/a^8 + 
   (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (3*z^4)/a^10 - 
   (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 10550] -> -a^(-14) + 2/a^12 - 3/a^10 + 
   3/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 10551] -> 
  4*a^6 - 7*a^8 + 7*a^10 - 2*a^12 - a^14 + 12*a^6*z^2 - 15*a^8*z^2 + 
   16*a^10*z^2 + 2*a^12*z^2 - 4*a^14*z^2 + 13*a^6*z^4 - 18*a^8*z^4 + 
   12*a^10*z^4 + 11*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 14*a^8*z^6 - 
   a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 4*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 10552] -> 
  2*a^4 - 3*a^6 + 4*a^8 - 3*a^10 + 3*a^12 - 2*a^14 + 5*a^4*z^2 - 5*a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 + 8*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 
   6*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 10553] -> -4 + a^(-2) + 10*a^2 - 11*a^4 + 
   7*a^6 - 2*a^8 - 11*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 28*a^4*z^2 + 
   19*a^6*z^2 - 5*a^8*z^2 - 10*z^4 + z^4/a^2 + 26*a^2*z^4 - 31*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10554] -> 4*a^6 - 7*a^8 + 7*a^10 - 2*a^12 - a^14 + 
   a^4*z^2 + 10*a^6*z^2 - 13*a^8*z^2 + 16*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 7*a^6*z^4 - 14*a^8*z^4 + 13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 10555] -> -11 - 2/a^4 + 8/a^2 + 9*a^2 - 
   4*a^4 + a^6 - 27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 23*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 27*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10556] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 10557] -> 
  2/a^10 - 7/a^8 + 11/a^6 - 10/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (26*z^2)/a^6 - (26*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (28*z^4)/a^6 - (29*z^4)/a^4 + (18*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10558] -> -11 - 2/a^4 + 8/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   27*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 23*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 27*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10559] -> 
  4*a^6 - 7*a^8 + 7*a^10 - 2*a^12 - a^14 + a^4*z^2 + 10*a^6*z^2 - 
   13*a^8*z^2 + 16*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 
   14*a^8*z^4 + 13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 10*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 10560] -> -1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   2/a^2 + a^2 - 2*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + (3*z^4)/a^6 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 10561] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + 2/a^6 - a^(-4) + a^(-2) + z^2 + (3*z^2)/a^12 - 
   z^2/a^10 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 10562] -> a^2 - a^4 + a^6 + a^8 - 2*a^10 + 3*a^12 - 
   2*a^14 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   5*a^12*z^2 - a^14*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - a^6*z^6 - a^8*z^6 - a^10*z^6, Knot[15, Alternating, 10563] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10564] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (19*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10565] -> 
  -5 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + 3*a^2 - 9*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 10566] -> 
  -a^(-14) + 3/a^10 - 5/a^8 + 4/a^6 - z^2/a^14 + (4*z^2)/a^12 + 
   (6*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (12*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 10567] -> 
  3*a^6 - 4*a^8 + 3*a^10 + a^12 - 2*a^14 + a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 4*a^10*z^2 + 3*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 10568] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 10569] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - a^(-4) + z^2 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (6*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 10570] -> -1 + a^(-8) - a^(-6) + a^(-2) + 
   a^4 - 2*z^2 - (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - a^6*z^2 + 
   z^4 + (3*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[15, Alternating, 10571] -> 
  -a^(-14) + a^(-12) - a^(-8) + a^(-6) + a^(-4) + z^2 + (3*z^2)/a^12 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 10572] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 9*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 10573] -> 
  -10 + 2/a^6 - 6/a^4 + 10/a^2 + 6*a^2 - a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (23*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10574] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (17*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10575] -> 
  2 + 2/a^4 - 3/a^2 + a^2 - 3*a^4 + 2*a^6 + 3*z^2 + z^2/a^4 - (7*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10576] -> 
  -10 + 4/a^2 + 14*a^2 - 12*a^4 + 6*a^6 - a^8 - 21*z^2 + (4*z^2)/a^2 + 
   32*a^2*z^2 - 31*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 14*z^4 + z^4/a^2 + 
   32*a^2*z^4 - 31*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 16*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 10577] -> -14 + 2/a^6 - 7/a^4 + 13/a^2 + 
   9*a^2 - 2*a^4 - 34*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (30*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 33*z^4 + z^4/a^6 - (12*z^4)/a^4 + (30*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10578] -> 5 + 2/a^4 - 4/a^2 - 3*a^2 + a^6 + 9*z^2 + 
   z^2/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   9*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10579] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 10580] -> -3/a^12 + 7/a^10 - 7/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) - (4*z^2)/a^12 + (20*z^2)/a^10 - (22*z^2)/a^8 + (14*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^12 + (15*z^4)/a^10 - (30*z^4)/a^8 + 
   (17*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (17*z^6)/a^8 + 
   (13*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 10581] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + a^(-6) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 + z^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10582] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^6 + 
   z^2/a^4 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10583] -> 4*a^6 - 7*a^8 + 7*a^10 - 2*a^12 - a^14 + 
   14*a^6*z^2 - 21*a^8*z^2 + 20*a^10*z^2 + 4*a^12*z^2 - 6*a^14*z^2 + 
   16*a^6*z^4 - 25*a^8*z^4 + 14*a^10*z^4 + 16*a^12*z^4 - 5*a^14*z^4 + 
   7*a^6*z^6 - 18*a^8*z^6 - 3*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   7*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 10584] -> a^4 + a^6 - 3*a^8 + 4*a^10 - a^12 - a^14 + 
   4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 10*a^10*z^2 + 2*a^12*z^2 - 3*a^14*z^2 + 
   4*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 7*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 10585] -> 
  2*a^4 - 2*a^6 + a^8 + a^10 - a^14 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   7*a^10*z^2 + a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 
   7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 10586] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10587] -> 
  -14 - 2/a^4 + 9/a^2 + 13*a^2 - 7*a^4 + 2*a^6 - 33*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 31*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 31*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 32*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10588] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - a^2 - a^4 + a^6 + 7*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10589] -> -a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (19*z^2)/a^6 - 
   (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (19*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10590] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (22*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (23*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10591] -> 2*a^4 - 2*a^6 + a^8 + a^10 - a^14 + 
   a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + 3*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 10592] -> -2/a^12 + 6/a^10 - 9/a^8 + 9/a^6 - 6/a^4 + 
   3/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (20*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (21*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10593] -> 1 - a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - a^(-2) + 2*z^2 + (4*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10594] -> 2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + 
   a^4 + 5*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 7*z^4 + (6*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 10595] -> -3/a^12 + 7/a^10 - 8/a^8 + 5/a^6 - 
   z^2/a^14 + (14*z^2)/a^10 - (17*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (5*z^4)/a^10 - (16*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 10596] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 - 
   a^2 + 3*a^4 - a^6 - 6*z^2 + z^2/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 10597] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 4*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   2*a^2*z^2 - a^6*z^2 - z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 10598] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 2/a^2 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + z^6/a^6 + z^6/a^4 + 
   z^6/a^2, Knot[15, Alternating, 10599] -> a^2 - a^4 + 2*a^6 - 2*a^8 + 
   2*a^10 - a^14 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 3*a^10*z^2 + 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 - a^8*z^4 + a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 10600] -> -5 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + 
   2*a^2 - 14*z^2 - z^2/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + (23*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 12*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (23*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + (3*z^8)/a^2, Knot[15, Alternating, 10601] -> 
  -10 + 2/a^6 - 6/a^4 + 10/a^2 + 6*a^2 - a^4 - 26*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 14*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 24*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 13*z^6 + 
   (6*z^6)/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - a^2*z^8, 
 Knot[15, Alternating, 10602] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (17*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10603] -> -2/a^12 + 5/a^10 - 6/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (17*z^2)/a^8 + (17*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + 
   (17*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10604] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2 + (4*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 10605] -> 
  -10 - a^(-4) + 6/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 24*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 26*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 25*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 31*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10606] -> a^4 + a^6 - 3*a^8 + 4*a^10 - 
   a^12 - a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 11*a^10*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 11*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 10607] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (22*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (23*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10608] -> -3 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + (3*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 10609] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   a^4*z^2 + 3*z^4 + (6*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 10610] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 5*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - 3*z^4 + (6*z^4)/a^4 + 
   5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 10611] -> -1 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   3*a^4 + 2*a^6 - 2*z^2 - (3*z^2)/a^4 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 2*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 2*a^6*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 10612] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 8*z^2 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 10613] -> 
  -4 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + a^4 - 4*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10614] -> -3 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10615] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 25*z^2 - (4*z^2)/a^4 + 
   (16*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10616] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10617] -> -5 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + 
   2*a^2 - 14*z^2 - z^2/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + (23*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 12*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (23*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + (3*z^8)/a^2, Knot[15, Alternating, 10618] -> 
  -3 + a^(-4) + 7*a^2 - 8*a^4 + 5*a^6 - a^8 - 5*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   12*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 2*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10619] -> 
  -3 - 3/a^8 + 9/a^6 - 11/a^4 + 8/a^2 + a^2 - 10*z^2 - (3*z^2)/a^8 + 
   (18*z^2)/a^6 - (27*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10620] -> 
  -3/a^12 + 7/a^10 - 8/a^8 + 5/a^6 - z^2/a^14 + (14*z^2)/a^10 - 
   (17*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (5*z^4)/a^10 - (16*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 10621] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10622] -> 
  5 + 2/a^4 - 4/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 10623] -> 
  -3 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2/a^2 + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (3*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 10624] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10625] -> 1 + 2/a^4 - 3/a^2 + 4*a^2 - 7*a^4 + 5*a^6 - 
   a^8 + 3*z^2 + z^2/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10626] -> -a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 2/a^2 + 
   a^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[15, Alternating, 10627] -> 
  2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + z^2 - (3*z^2)/a^4 - 3*a^2*z^2 - 
   a^8*z^2 + 3*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 10628] -> -a^(-12) + a^(-10) + a^(-8) - 
   2/a^6 + a^(-4) + a^(-2) + z^2 + (3*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 10629] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10630] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 
   a^(-4) + z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 10631] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 3*z^4 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 10632] -> -8 + 3/a^2 + 13*a^2 - 13*a^4 + 8*a^6 - 
   2*a^8 - 18*z^2 + (4*z^2)/a^2 + 30*a^2*z^2 - 33*a^4*z^2 + 19*a^6*z^2 - 
   4*a^8*z^2 - 14*z^4 + z^4/a^2 + 30*a^2*z^4 - 33*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 16*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10633] -> a^(-4) - a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - 
   a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10634] -> 8 + 2/a^4 - 5/a^2 - 7*a^2 + 3*a^4 + 12*z^2 + 
   z^2/a^4 - (8*z^2)/a^2 - 12*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   9*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10635] -> -4 - 4/a^8 + 12/a^6 - 15/a^4 + 11/a^2 + 
   a^2 - 13*z^2 - (4*z^2)/a^8 + (24*z^2)/a^6 - (36*z^2)/a^4 + (27*z^2)/a^2 + 
   4*a^2*z^2 - 17*z^4 - z^4/a^8 + (15*z^4)/a^6 - (36*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (17*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10636] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 10637] -> 
  -1 - 2/a^10 + 5/a^8 - 5/a^6 + 3/a^4 + a^2 - 5*z^2 - z^2/a^10 + 
   (9*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 10638] -> -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-2) + 
   a^2 - 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 10639] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   6*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10640] -> 
  6*a^6 - 13*a^8 + 15*a^10 - 8*a^12 + a^14 + 17*a^6*z^2 - 32*a^8*z^2 + 
   34*a^10*z^2 - 7*a^12*z^2 - 3*a^14*z^2 + 17*a^6*z^4 - 33*a^8*z^4 + 
   25*a^10*z^4 + 8*a^12*z^4 - 4*a^14*z^4 + 7*a^6*z^6 - 20*a^8*z^6 + 
   2*a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 7*a^8*z^8 - 4*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 10641] -> 
  2*a^4 - a^6 - 2*a^8 + 5*a^10 - 3*a^12 + 5*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 
   8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 10642] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10643] -> 
  3*a^4 - 5*a^6 + 5*a^8 - 2*a^10 + a^12 - a^14 + 7*a^4*z^2 - 10*a^6*z^2 + 
   10*a^8*z^2 - a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 5*a^6*z^6 - 
   2*a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 10644] -> a^2 - a^6 + 2*a^8 - a^10 + a^12 - a^14 + 
   2*a^2*z^2 - a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 10645] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 10646] -> -2/a^12 + 6/a^10 - 9/a^8 + 9/a^6 - 6/a^4 + 
   3/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (20*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (21*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10647] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10648] -> 
  -10 + 2/a^6 - 6/a^4 + 10/a^2 + 6*a^2 - a^4 - 26*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 14*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 24*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 13*z^6 + 
   (6*z^6)/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - a^2*z^8, 
 Knot[15, Alternating, 10649] -> -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 
   5*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 - 3*z^4 + (6*z^4)/a^4 + 5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 10650] -> 
  -3 + a^(-4) + 7*a^2 - 8*a^4 + 5*a^6 - a^8 - 5*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   12*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 2*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10651] -> 
  -9 - a^(-4) + 5/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 23*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 25*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10652] -> -a^(-10) + 3/a^8 - 4/a^6 + 
   4/a^4 - 2/a^2 + a^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 10653] -> 1 - a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - a^(-2) + 2*z^2 + (4*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + (3*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10654] -> 2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + 
   a^4 + 5*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 7*z^4 + (6*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 10655] -> a^4 + 2*a^6 - 6*a^8 + 8*a^10 - 4*a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 12*a^8*z^2 + 19*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 
   3*a^4*z^4 + 3*a^6*z^4 - 14*a^8*z^4 + 16*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 10656] -> 
  1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 + 3*z^2 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 5*z^4 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[15, Alternating, 10657] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10658] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10659] -> 
  1 - 2/a^12 + 6/a^10 - 9/a^8 + 9/a^6 - 5/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (20*z^2)/a^8 + (21*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (19*z^4)/a^8 + (19*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10660] -> 
  -15 - 3/a^4 + 11/a^2 + 12*a^2 - 5*a^4 + a^6 - 36*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 28*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 35*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 28*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10661] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 5*a^2 - 3*a^4 + a^6 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10662] -> -25 - 4/a^4 + 16/a^2 + 23*a^2 - 12*a^4 + 
   3*a^6 - 50*z^2 - (4*z^2)/a^4 + (26*z^2)/a^2 + 46*a^2*z^2 - 25*a^4*z^2 + 
   6*a^6*z^2 - 41*z^4 - z^4/a^4 + (15*z^4)/a^2 + 39*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 17*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10663] -> 
  7 - 2/a^6 + 7/a^4 - 9/a^2 - 2*a^2 - a^4 + a^6 + 11*z^2 - z^2/a^6 + 
   (9*z^2)/a^4 - (16*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10664] -> 
  -10 + 2/a^6 - 6/a^4 + 10/a^2 + 6*a^2 - a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (23*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10665] -> 
  -3 - 3/a^8 + 9/a^6 - 11/a^4 + 8/a^2 + a^2 - 10*z^2 - (3*z^2)/a^8 + 
   (18*z^2)/a^6 - (27*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10666] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10667] -> -10 + 4/a^2 + 14*a^2 - 12*a^4 + 
   6*a^6 - a^8 - 21*z^2 + (4*z^2)/a^2 + 32*a^2*z^2 - 31*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - 14*z^4 + z^4/a^2 + 32*a^2*z^4 - 31*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 16*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10668] -> -14 - 2/a^4 + 9/a^2 + 13*a^2 - 7*a^4 + 
   2*a^6 - 33*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 31*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 32*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10669] -> 
  -14 + 2/a^6 - 7/a^4 + 13/a^2 + 9*a^2 - 2*a^4 - 34*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (30*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (30*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10670] -> 
  -4 - 4/a^8 + 12/a^6 - 15/a^4 + 11/a^2 + a^2 - 13*z^2 - (4*z^2)/a^8 + 
   (24*z^2)/a^6 - (36*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (15*z^4)/a^6 - (36*z^4)/a^4 + (27*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (17*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10671] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 10672] -> 6*a^6 - 13*a^8 + 15*a^10 - 
   8*a^12 + a^14 + 17*a^6*z^2 - 32*a^8*z^2 + 34*a^10*z^2 - 7*a^12*z^2 - 
   3*a^14*z^2 + 17*a^6*z^4 - 33*a^8*z^4 + 25*a^10*z^4 + 8*a^12*z^4 - 
   4*a^14*z^4 + 7*a^6*z^6 - 20*a^8*z^6 + 2*a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + 
   a^6*z^8 - 7*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 10673] -> 2*a^4 - a^6 - 2*a^8 + 5*a^10 - 3*a^12 + 
   5*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 
   4*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 10674] -> 1 + 2/a^4 - 3/a^2 + 4*a^2 - 
   7*a^4 + 5*a^6 - a^8 + 3*z^2 + z^2/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10675] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 10676] -> 4*a^4 - 8*a^6 + 9*a^8 - 5*a^10 + 2*a^12 - 
   a^14 + 8*a^4*z^2 - 14*a^6*z^2 + 15*a^8*z^2 - 4*a^10*z^2 + 4*a^12*z^2 - 
   2*a^14*z^2 + 5*a^4*z^4 - 11*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + 5*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 10677] -> 
  -25 - 4/a^4 + 16/a^2 + 23*a^2 - 12*a^4 + 3*a^6 - 50*z^2 - (4*z^2)/a^4 + 
   (26*z^2)/a^2 + 46*a^2*z^2 - 25*a^4*z^2 + 6*a^6*z^2 - 41*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 39*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10678] -> 
  8*a^6 - 20*a^8 + 26*a^10 - 18*a^12 + 6*a^14 - a^16 + 20*a^6*z^2 - 
   44*a^8*z^2 + 52*a^10*z^2 - 22*a^12*z^2 + 2*a^14*z^2 + 18*a^6*z^4 - 
   41*a^8*z^4 + 37*a^10*z^4 - a^12*z^4 - 3*a^14*z^4 + 7*a^6*z^6 - 
   22*a^8*z^6 + 7*a^10*z^6 + 7*a^12*z^6 - a^14*z^6 + a^6*z^8 - 7*a^8*z^8 - 
   3*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 10679] -> 2*a^2 - 3*a^4 + 3*a^6 - a^8 + a^12 - a^14 + 
   3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 3*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 - 3*a^4*z^4 - a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - a^6*z^6 - 
   a^8*z^6 - a^10*z^6, Knot[15, Alternating, 10680] -> 
  1 - a^2 + a^4 + a^12 - a^14 + z^2 - a^2*z^2 + a^4*z^2 + a^6*z^2 + a^8*z^2 + 
   2*a^12*z^2 - a^2*z^4 - a^4*z^4 - a^6*z^4 - a^8*z^4 - a^10*z^4, 
 Knot[15, Alternating, 10681] -> -9 + 4/a^2 + 11*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   22*z^2 + (4*z^2)/a^2 + 31*a^2*z^2 - 25*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   19*z^4 + (3*z^4)/a^2 + 36*a^2*z^4 - 25*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10682] -> 
  2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 5*z^2 + z^2/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10683] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10684] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10685] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10686] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10687] -> 4*a^2 - 7*a^4 + 7*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 10*a^2*z^2 - 24*a^4*z^2 + 24*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 8*a^2*z^4 - 32*a^4*z^4 + 29*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 19*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10688] -> 
  -a^(-12) + a^(-10) + a^(-8) - a^(-6) - a^(-4) + 2/a^2 - z^2/a^12 + 
   (5*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + 
   z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10689] -> -a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 4/a^4 + 
   3/a^2 + 2*z^2 + (3*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10690] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 10691] -> 
  1 - 2/a^10 + 5/a^8 - 5/a^6 + 3/a^4 - a^(-2) + 3*z^2 - z^2/a^10 + 
   (11*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (6*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 10692] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10693] -> 4*a^2 - 7*a^4 + 7*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 2*z^2 + 4*a^2*z^2 - 16*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 
   5*a^10*z^2 + z^4 - 2*a^2*z^4 - 15*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 5*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 10694] -> -7 + 3/a^2 + 10*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 - 18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 28*a^4*z^2 + 14*a^6*z^2 - 
   2*a^8*z^2 - 18*z^4 + (2*z^4)/a^2 + 34*a^2*z^4 - 29*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 21*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10695] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (16*z^4)/a^4 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10696] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   7*z^2 + z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 10697] -> 2 + 2/a^10 - 7/a^8 + 11/a^6 - 
   8/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (10*z^4)/a^8 + (20*z^4)/a^6 - 
   (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10698] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 
   3/a^2 + a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10699] -> -5 - 3/a^8 + 9/a^6 - 11/a^4 + 9/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - (32*z^2)/a^4 + 
   (24*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - 
   (36*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (19*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10700] -> 3 - a^(-8) + 2/a^6 - 2/a^2 - 
   2*a^2 + a^4 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 10701] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (16*z^4)/a^4 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10702] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10703] -> 1 + a^2 - 3*a^4 + 4*a^6 - 4*a^8 + 
   3*a^10 - a^12 + 3*z^2 - 3*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 
   4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10704] -> -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^2 + 
   a^4 + 2*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10705] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 10*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10706] -> 
  -3 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + a^4 - 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10707] -> -7 + 3/a^2 + 10*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 - 18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 28*a^4*z^2 + 14*a^6*z^2 - 
   2*a^8*z^2 - 18*z^4 + (2*z^4)/a^2 + 34*a^2*z^4 - 29*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 21*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10708] -> 
  -3 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + a^4 - 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10709] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10710] -> 3*a^4 - 6*a^6 + 8*a^8 - 4*a^10 + 
   8*a^4*z^2 - 23*a^6*z^2 + 36*a^8*z^2 - 14*a^10*z^2 + 15*a^4*z^4 - 
   48*a^6*z^4 + 60*a^8*z^4 - 16*a^10*z^4 + 16*a^4*z^6 - 53*a^6*z^6 + 
   46*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 31*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 10711] -> a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + 16*a^8*z^2 - 7*a^10*z^2 + 4*a^2*z^4 - 6*a^4*z^4 - 
   6*a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 10712] -> 
  2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 3*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 + 
   14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 10713] -> 2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 
   2*a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 
   z^4 + a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10714] -> 1 - a^2 + a^4 - a^6 + 3*a^8 - 2*a^10 + z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10715] -> 3*a^2 - 6*a^4 + 6*a^6 - a^8 - a^10 + 
   7*a^2*z^2 - 19*a^4*z^2 + 17*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 + 8*a^2*z^4 - 
   23*a^4*z^4 + 12*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10716] -> 1 - 2*a^4 + 3*a^6 - a^10 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10717] -> 4*a^2 - 9*a^4 + 10*a^6 - 4*a^8 + 8*a^2*z^2 - 
   24*a^4*z^2 + 25*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 
   28*a^4*z^4 + 20*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10718] -> 2 - 3*a^2 + 2*a^4 + a^8 - a^10 + 3*z^2 - 
   8*a^2*z^2 + 5*a^4*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 8*a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10719] -> -1 + a^(-2) + a^2 - a^4 + a^6 + a^8 - a^10 - 
   3*z^2 + z^2/a^2 + a^2*z^2 + 3*a^8*z^2 - a^10*z^2 - 2*z^4 + z^4/a^2 - 
   a^6*z^4 + 2*a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 10720] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 3*z^2 - 
   19*a^2*z^2 + 32*a^4*z^2 - 13*a^6*z^2 + 13*z^4 - 45*a^2*z^4 + 58*a^4*z^4 - 
   16*a^6*z^4 + 16*z^6 - 52*a^2*z^6 + 46*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   31*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 10721] -> -2 + a^(-2) + a^2 + 3*a^4 - 
   2*a^6 - 5*z^2 + z^2/a^2 - a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + 20*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 
   8*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 10722] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 4*z^2 - 16*a^2*z^2 + 18*a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 + 7*z^4 - 20*a^2*z^4 + 14*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 14*a^2*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 10723] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - 3*a^2*z^2 + 
   8*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10724] -> 
  -5 + 2/a^2 + 5*a^2 - a^6 - 18*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 - 22*z^4 + (8*z^4)/a^2 + 12*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 - 
   15*z^6 + (5*z^6)/a^2 - a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 10725] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 9*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   8*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 10726] -> 
  -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 + z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 10727] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^4*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 
   2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 10728] -> -10 - 3/a^4 + 8/a^2 + 10*a^2 - 4*a^4 - 
   21*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 18*z^4 + 
   (10*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 10729] -> 
  1 - a^(-6) + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 10730] -> 4 - a^(-4) - 2*a^2 + 30*z^2 + (2*z^2)/a^4 - 
   (16*z^2)/a^2 - 13*a^2*z^2 + 58*z^4 + (13*z^4)/a^4 - (44*z^4)/a^2 - 
   16*a^2*z^4 + 46*z^6 + (16*z^6)/a^4 - (52*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + 
   (7*z^8)/a^4 - (31*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 10731] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 + 
   (2*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 12*z^4 + (7*z^4)/a^4 - 
   (17*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 10732] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 
   11*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + 
   (5*z^4)/a^4 - (13*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 10733] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 8*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (10*z^2)/a^2 - 6*a^2*z^2 + 17*z^4 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - 
   (5*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 10734] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   a^2*z^2 - 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 10735] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 10736] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^6*z^2 + z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 10737] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 10738] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 10739] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 10740] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + a^2*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 7*a^4*z^4 + 15*a^6*z^4 - 15*a^8*z^4 + 
   4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10741] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10742] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   6*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 10743] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 5*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 10744] -> 
  1 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10745] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10746] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^6 + (8*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10747] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10748] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - z^2/a^6 + (8*z^2)/a^2 - a^2*z^2 + 
   z^4 + z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10749] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 15*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10750] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   5*z^2 + z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10751] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10752] -> 1 - a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   8*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 
   16*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10753] -> -4 + a^(-10) - 6/a^8 + 11/a^6 - 13/a^4 + 
   12/a^2 - 8*z^2 + z^2/a^10 - (11*z^2)/a^8 + (26*z^2)/a^6 - (28*z^2)/a^4 + 
   (26*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (25*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10754] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10755] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   3*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 
   5*a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 5*a^4*z^6 + 
   10*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 3*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10756] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (22*z^2)/a^4 - (10*z^2)/a^2 + (9*z^4)/a^8 - 
   (30*z^4)/a^6 + (50*z^4)/a^4 - (15*z^4)/a^2 + (15*z^6)/a^8 - (46*z^6)/a^6 + 
   (44*z^6)/a^4 - (7*z^6)/a^2 + (7*z^8)/a^8 - (30*z^8)/a^6 + (16*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 10757] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 3*z^2 - 
   (5*z^2)/a^6 + (14*z^2)/a^4 - 4*z^4 + (6*z^4)/a^8 - (14*z^4)/a^6 + 
   (13*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (13*z^6)/a^6 + 
   (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10758] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 4*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10759] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10760] -> -3/a^6 + 5/a^4 - a^(-2) - 3*z^2 + z^2/a^8 - 
   (7*z^2)/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (10*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10761] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10762] -> -3/a^6 + 5/a^4 - a^(-2) + z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10763] -> -a^(-8) + 2/a^4 + 2*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10764] -> -3/a^6 + 5/a^4 - a^(-2) + z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10765] -> -2/a^6 + 3/a^4 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^6 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 10766] -> -2/a^6 + 3/a^4 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^6 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 10767] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10768] -> 
  -a^(-6) + a^(-4) + a^(-2) + 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 10769] -> 
  5 - 2/a^2 - 2*a^2 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 10770] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10771] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10772] -> 5 - 2/a^2 - 2*a^2 - a^4 + 
   2*a^6 - a^8 + z^2 - z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 10773] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10774] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   a^2*z^2 - a^4*z^2 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 10775] -> 1 - a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   8*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 
   16*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10776] -> 2 - a^(-12) + 4/a^10 - 8/a^8 + 10/a^6 - 
   6/a^4 + 3*z^2 + (6*z^2)/a^10 - (16*z^2)/a^8 + (21*z^2)/a^6 - 
   (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (12*z^4)/a^8 + (18*z^4)/a^6 - 
   (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10777] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^10 - 
   z^2/a^8 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 10778] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (18*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 10779] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (9*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10780] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 19*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 18*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10781] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 21*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (24*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - 
   (16*z^4)/a^4 + (33*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10782] -> 
  -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (12*z^2)/a^8 - 
   (13*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - 
   (12*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 10783] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 2*z^2 + (5*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10784] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10785] -> 
  -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 25*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 32*z^4 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10786] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 + (2*z^2)/a^2 - a^2*z^2 + a^6*z^2 - z^4/a^4 + 
   z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 10787] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10788] -> 1 + z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10789] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10790] -> 
  -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10791] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 10792] -> 
  -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 14*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 11*z^4 - z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 10793] -> -7 + 3/a^2 + 10*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   19*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   19*z^4 + (3*z^4)/a^2 + 34*a^2*z^4 - 26*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10794] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 2*z^2 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10795] -> 
  -2 - 2/a^8 + 6/a^6 - 7/a^4 + 5/a^2 + a^2 - 9*z^2 - (3*z^2)/a^8 + 
   (17*z^2)/a^6 - (25*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (32*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10796] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10797] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10798] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 14*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10799] -> -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 
   2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10800] -> -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - 2*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10801] -> a^(-14) - 6/a^12 + 11/a^10 - 
   10/a^8 + 4/a^6 + a^(-4) - (6*z^2)/a^12 + (21*z^2)/a^10 - (22*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (12*z^4)/a^10 - 
   (24*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 10802] -> -11 - 2/a^4 + 8/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   32*z^2 - (3*z^2)/a^4 + (18*z^2)/a^2 + 24*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 36*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 10803] -> 
  -4 + a^(-8) - a^(-6) - a^(-4) + 4/a^2 + a^2 + a^4 - 8*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 10804] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + 2*a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 3*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 10805] -> -7 + 3/a^2 + 10*a^2 - 9*a^4 + 5*a^6 - a^8 - 
   19*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   19*z^4 + (3*z^4)/a^2 + 34*a^2*z^4 - 26*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 20*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10806] -> 
  -11 - 2/a^4 + 8/a^2 + 9*a^2 - 4*a^4 + a^6 - 32*z^2 - (3*z^2)/a^4 + 
   (18*z^2)/a^2 + 24*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 36*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10807] -> 
  -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 2*a^4 - 16*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10808] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 11*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 10809] -> 2 - a^2 - 3*a^4 + 7*a^6 - 6*a^8 + 2*a^10 + 
   z^2 + 2*a^2*z^2 - 15*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 7*a^2*z^4 - 21*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10810] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10811] -> -6 - a^(-6) + a^(-4) + 3/a^2 + 6*a^2 - 
   2*a^4 - 19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10812] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10813] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10814] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 4*z^2 + 10*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   5*z^4 + z^4/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10815] -> 
  -4 - 2/a^8 + 6/a^6 - 7/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 10816] -> 
  4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (13*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 10817] -> -2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   a^(-2) + 2*a^2 - 5*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + z^6/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 10818] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2/a^6 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^8 - z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 10819] -> 
  -8 + 3/a^2 + 11*a^2 - 7*a^4 + 2*a^6 - 22*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10820] -> -9 + a^(-6) - 4/a^4 + 8/a^2 + 
   7*a^2 - 2*a^4 - 23*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (23*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10821] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 
   2*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10822] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 3*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - 
   (16*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (14*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10823] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 10824] -> 2 - a^(-12) + 4/a^10 - 8/a^8 + 10/a^6 - 
   6/a^4 + 3*z^2 + (6*z^2)/a^10 - (16*z^2)/a^8 + (21*z^2)/a^6 - 
   (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (12*z^4)/a^8 + (18*z^4)/a^6 - 
   (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10825] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 10826] -> 
  2 - 2/a^10 + 5/a^8 - 5/a^6 + 4/a^4 - 3/a^2 + 3*z^2 - z^2/a^10 + 
   (10*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 + 
   (5*z^4)/a^8 - (12*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 10827] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10828] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 10829] -> 1 + a^(-4) - a^(-2) - a^4 + 
   a^6 + z^2 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   z^4/a^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 10830] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10831] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   14*z^2 + z^2/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 10832] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 10833] -> 5 + 2/a^4 - 4/a^2 - 3*a^2 + 
   a^6 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - 8*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   8*z^4 - (2*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 10834] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + z^2 - 
   (2*z^2)/a^4 - 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^6 + 
   (2*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 10835] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 
   4*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + z^4 + a^2*z^4 - 
   10*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 10836] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 
   2*a^4 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 10837] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 19*z^2 + (4*z^2)/a^2 + 25*a^2*z^2 - 
   19*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 19*z^4 + (3*z^4)/a^2 + 33*a^2*z^4 - 
   22*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10838] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 10839] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 8*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 10840] -> 
  -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 26*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 32*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10841] -> -2 + a^(-4) + 4*a^2 - 4*a^4 + 
   2*a^6 - z^2 + z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 10842] -> 1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 - 
   2*z^2 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 10843] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 6*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 10844] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   5*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 10845] -> 2 + 2/a^10 - 7/a^8 + 11/a^6 - 8/a^4 + 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (14*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (10*z^4)/a^8 + (20*z^4)/a^6 - 
   (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10846] -> -4 - 2/a^8 + 6/a^6 - 7/a^4 + 6/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 + z^4/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10847] -> -2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   a^(-2) + 2*a^2 - 5*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + z^6/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 10848] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 5*a^8 + 3*a^10 - a^12 + 10*a^2*z^2 - 24*a^4*z^2 + 
   24*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 8*a^2*z^4 - 32*a^4*z^4 + 
   29*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 19*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 10849] -> 1 + a^2 - 3*a^4 + 4*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 3*z^2 - 3*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 
   4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10850] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10851] -> 
  -9 + 4/a^2 + 11*a^2 - 9*a^4 + 5*a^6 - a^8 - 22*z^2 + (4*z^2)/a^2 + 
   31*a^2*z^2 - 25*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 19*z^4 + (3*z^4)/a^2 + 
   36*a^2*z^4 - 25*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 10852] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10853] -> -5 - 3/a^8 + 9/a^6 - 11/a^4 + 9/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^8 + (20*z^2)/a^6 - (32*z^2)/a^4 + 
   (24*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - 
   (36*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (19*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10854] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10855] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (16*z^4)/a^4 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10856] -> 4*a^2 - 7*a^4 + 7*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 2*z^2 + 4*a^2*z^2 - 16*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 
   5*a^10*z^2 + z^4 - 2*a^2*z^4 - 15*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 5*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 10857] -> -7 + 3/a^2 + 10*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 - 18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 28*a^4*z^2 + 14*a^6*z^2 - 
   2*a^8*z^2 - 18*z^4 + (2*z^4)/a^2 + 34*a^2*z^4 - 29*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 21*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10858] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10859] -> -7 + 3/a^2 + 10*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 - 18*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 28*a^4*z^2 + 14*a^6*z^2 - 
   2*a^8*z^2 - 18*z^4 + (2*z^4)/a^2 + 34*a^2*z^4 - 29*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 21*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10860] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10861] -> -a^(-12) + a^(-10) + a^(-8) - a^(-6) - 
   a^(-4) + 2/a^2 - z^2/a^12 + (5*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 10862] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 10863] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   7/a^6 - 7/a^4 + 4/a^2 + z^2 + (4*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - 
   (17*z^2)/a^4 + (6*z^2)/a^2 + z^4 - (7*z^4)/a^8 + (13*z^4)/a^6 - 
   (16*z^4)/a^4 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10864] -> 5*a^2 - 10*a^4 + 11*a^6 - 9*a^8 + 6*a^10 - 
   2*a^12 + 10*a^2*z^2 - 27*a^4*z^2 + 31*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 8*a^2*z^4 - 33*a^4*z^4 + 33*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 19*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10865] -> 
  2 - 2*a^2 + a^4 - a^8 + 2*a^10 - a^12 + 3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 8*a^2*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10866] -> 1 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10867] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 10*a^2*z^2 - 23*a^4*z^2 + 
   24*a^6*z^2 - 19*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 
   31*a^4*z^4 + 29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   18*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 10868] -> 1 + a^2 - 3*a^4 + 3*a^6 - 
   2*a^8 + 2*a^10 - a^12 + 3*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 10869] -> -2/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 10870] -> 
  1 - a^(-12) + a^(-10) + a^(-8) - a^(-6) + 2*z^2 + (3*z^2)/a^10 + z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^4 - z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10871] -> 5*a^2 - 10*a^4 + 11*a^6 - 9*a^8 + 6*a^10 - 
   2*a^12 + 10*a^2*z^2 - 27*a^4*z^2 + 31*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 8*a^2*z^4 - 33*a^4*z^4 + 33*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 19*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10872] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (26*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^10 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10873] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10874] -> -5 + 13*a^2 - 8*a^4 + a^6 - 
   16*z^2 + (2*z^2)/a^2 + 33*a^2*z^2 - 15*a^4*z^2 + a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 31*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   15*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 10875] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   a^6*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 + 4*a^4*z^4 - 2*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 10876] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10877] -> 2 + a^(-4) - 2/a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10878] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 4*z^2 + 11*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 10879] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 7*z^2 + z^2/a^4 + z^2/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10880] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 9*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 18*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (13*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10881] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10882] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10883] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + 
   (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10884] -> -4 + 10*a^2 - 5*a^4 - 11*z^2 + z^2/a^2 + 
   22*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 + 
   5*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 10885] -> -a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 - z^2/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   11*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 10886] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 - z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 10887] -> 
  -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (17*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10888] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 9*z^2 - z^2/a^6 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10889] -> 4 - a^(-4) - 2*a^2 - 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10890] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - 
   (6*z^4)/a^10 + (29*z^4)/a^8 - (44*z^4)/a^6 + (18*z^4)/a^4 - (5*z^6)/a^10 + 
   (33*z^6)/a^8 - (56*z^6)/a^6 + (17*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - 
   (32*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 10891] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 - z^2/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (11*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10892] -> 2/a^8 - 6/a^6 + 5/a^4 - z^2/a^10 + 
   (6*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (9*z^4)/a^8 - (9*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (7*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10893] -> -3 + 7*a^2 - 2*a^4 - a^6 - 3*z^2 + 
   2*a^2*z^2 + 14*a^4*z^2 - 8*a^6*z^2 + 5*z^4 - 25*a^2*z^4 + 49*a^4*z^4 - 
   18*a^6*z^4 + 5*z^6 - 32*a^2*z^6 + 57*a^4*z^6 - 17*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 32*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 10894] -> 1 - a^(-2) + 2*a^2 - a^6 + z^2 - 
   z^2/a^2 + 9*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 19*a^4*z^4 - 
   8*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 10895] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 10896] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 - z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 10897] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 10898] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2 - z^2/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 + 
   (4*z^2)/a^4 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 10899] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 10900] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + 
   (26*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^10 - (2*z^4)/a^8 + 
   (19*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10901] -> -5 + 13*a^2 - 8*a^4 + a^6 - 16*z^2 + 
   (2*z^2)/a^2 + 33*a^2*z^2 - 15*a^4*z^2 + a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   31*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 10902] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^2*z^2 + 2*a^6*z^2 - 2*z^4 + 3*a^2*z^4 - 
   a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 2*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 10903] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 
   3*a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10904] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (20*z^2)/a^6 - (25*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (23*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + 
   z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10905] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10906] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 4*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 5*a^2*z^4 + 13*a^4*z^4 - 16*a^6*z^4 + 
   6*a^8*z^4 - 11*a^2*z^6 + 32*a^4*z^6 - 27*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   24*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 10907] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 
   z^2 - a^2*z^2 + a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + 4*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 10908] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 4*z^4 + 8*a^2*z^4 - 6*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 10*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 10909] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   a^2*z^2 + a^8*z^2 + 3*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 
   z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 10910] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10911] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10912] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^8 + 
   z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10913] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 9*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10914] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (20*z^2)/a^6 - (25*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10915] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (5*z^4)/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10916] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10917] -> -5 + 2/a^2 + 3*a^2 + 4*a^4 - 3*a^6 - 
   15*z^2 + (7*z^2)/a^2 + a^2*z^2 + 16*a^4*z^2 - 6*a^6*z^2 - 20*z^4 + 
   (9*z^4)/a^2 - 6*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 10918] -> 
  -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 4/a^6 - (6*z^2)/a^14 + 
   (21*z^2)/a^12 - (22*z^2)/a^10 + (12*z^2)/a^6 - (5*z^4)/a^14 + 
   (31*z^4)/a^12 - (36*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (31*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 10919] -> -a^(-14) + 4/a^12 - 6/a^10 + 3/a^8 - 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (12*z^2)/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (12*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 10920] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10921] -> 
  -2/a^14 + 8/a^12 - 12/a^10 + 5/a^8 + 2/a^6 - (7*z^2)/a^14 + (28*z^2)/a^12 - 
   (36*z^2)/a^10 + (12*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + 
   (36*z^4)/a^12 - (49*z^4)/a^10 + (7*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (37*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 10922] -> -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (10*z^2)/a^12 - (5*z^2)/a^10 - (10*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - 
   (15*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 10923] -> 4 - 14*a^2 + 19*a^4 - 8*a^6 + 20*z^2 - 
   63*a^2*z^2 + 68*a^4*z^2 - 20*a^6*z^2 + 33*z^4 - 104*a^2*z^4 + 89*a^4*z^4 - 
   18*a^6*z^4 + 24*z^6 - 88*a^2*z^6 + 56*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 
   41*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 10924] -> -1 + a^(-2) - 4*a^2 + 10*a^4 - 
   5*a^6 - 8*z^2 + (6*z^2)/a^2 - 13*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 - 
   15*z^4 + (9*z^4)/a^2 - 19*a^2*z^4 + 28*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + 
   (5*z^6)/a^2 - 15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 10925] -> 
  -6 + 2/a^2 + 6*a^2 + a^4 - 2*a^6 - 23*z^2 + (9*z^2)/a^2 + 13*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 - 30*z^4 + (12*z^4)/a^2 + 5*a^2*z^4 + 16*a^4*z^4 - 
   4*a^6*z^4 - 20*z^6 + (6*z^6)/a^2 - 6*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 10926] -> 4 + a^(-4) - 3/a^2 - 3*a^2 + 4*a^4 - 2*a^6 + 
   6*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 
   z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 10927] -> -9 + 4/a^2 + 10*a^2 - 6*a^4 + 
   2*a^6 - 27*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 - 29*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 28*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10928] -> 1 + 2/a^4 - 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 10929] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (6*z^2)/a^14 + (21*z^2)/a^12 - (22*z^2)/a^10 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (31*z^4)/a^12 - (36*z^4)/a^10 - (2*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (31*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 10930] -> 
  -9 + 4/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 30*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 
   24*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 34*z^4 - (6*z^4)/a^4 + (26*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10931] -> 
  -7 - a^(-6) - 2/a^4 + 9/a^2 + 2*a^2 - 19*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 
   5*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (23*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10932] -> 3 - a^(-6) + a^(-4) - 3*a^2 + a^4 + 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 10933] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 10934] -> 2 + a^(-4) - 2/a^2 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10935] -> -3 + a^(-2) + 5*a^2 - 2*a^4 + a^4*z^2 + 
   23*z^4 - (8*z^4)/a^2 - 23*a^2*z^4 + 7*a^4*z^4 + 37*z^6 - (12*z^6)/a^2 - 
   29*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 10936] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 + a^4*z^2 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 
   8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 10937] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   5*z^2 + z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 10938] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2/a^2 - a^4*z^2 + a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 10939] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 20*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^4 + 
   (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 10940] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 10941] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 18*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 10942] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10943] -> -10 + 4/a^2 + 11*a^2 - 5*a^4 + a^6 - 
   27*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 30*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 27*z^4 - z^4/a^4 + (10*z^4)/a^2 + 34*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 10944] -> 
  2/a^4 - 3/a^2 + 4*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 10945] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10946] -> 
  -7 + 2/a^2 + 12*a^2 - 8*a^4 + 2*a^6 - 26*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   32*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 32*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 32*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10947] -> -4 + 2/a^2 + 3*a^2 + 2*a^4 - 3*a^6 + 
   a^8 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - 7*z^4 - z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 10948] -> -4/a^8 + 11/a^6 - 11/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (28*z^2)/a^6 - (31*z^2)/a^4 + (15*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - (35*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (19*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10949] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 5*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 10950] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 21*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 10951] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10952] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 21*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (17*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 10953] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 
   4*a^2 - 24*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (31*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10954] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 
   (7*z^4)/a^10 + (14*z^4)/a^8 + (3*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10955] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   25*z^2 - z^2/a^4 + (9*z^2)/a^2 + 27*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 
   34*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (4*z^6)/a^4 + (15*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 10956] -> a^(-10) - 3/a^8 + 5/a^6 - 
   6/a^4 + 4/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (4*z^4)/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10957] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10958] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 
   17*z^2 + (7*z^2)/a^2 + 6*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 21*z^4 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 10959] -> 
  -8 + a^(-6) - 3/a^4 + 6/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10960] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (28*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 10961] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (17*z^2)/a^8 - (11*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   (8*z^4)/a^10 + (19*z^4)/a^8 - (4*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10962] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10963] -> -4 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + 
   2*a^2 - 13*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (26*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10964] -> a^(-10) - 4/a^8 + 8/a^6 - 
   9/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - 
   (24*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 10965] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 10966] -> 
  -3 + a^(-2) + 7*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   24*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 22*z^4 + (5*z^4)/a^2 + 
   32*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10967] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   17*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 10968] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - (4*z^2)/a^14 + (16*z^2)/a^12 - 
   (17*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (27*z^4)/a^12 - 
   (34*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (31*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 10969] -> 4 - 13*a^2 + 17*a^4 - 7*a^6 + 18*z^2 - 
   58*a^2*z^2 + 63*a^4*z^2 - 19*a^6*z^2 + 32*z^4 - 100*a^2*z^4 + 87*a^4*z^4 - 
   18*a^6*z^4 + 24*z^6 - 87*a^2*z^6 + 56*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 
   41*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 10970] -> a^(-2) - 6*a^2 + 11*a^4 - 
   5*a^6 - 3*z^2 + (4*z^2)/a^2 - 18*a^2*z^2 + 29*a^4*z^2 - 9*a^6*z^2 - 
   11*z^4 + (8*z^4)/a^2 - 21*a^2*z^4 + 28*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + 
   (5*z^6)/a^2 - 15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 10971] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (23*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (29*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 10972] -> 
  -1 + a^(-2) - 3*a^2 + 8*a^4 - 4*a^6 - 11*z^2 + (6*z^2)/a^2 - 6*a^2*z^2 + 
   22*a^4*z^2 - 8*a^6*z^2 - 21*z^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 25*a^4*z^4 - 
   5*a^6*z^4 - 18*z^6 + (6*z^6)/a^2 - 12*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 10973] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 
   13*z^2 + z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 
   14*z^4 + (3*z^4)/a^4 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 10974] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   22*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 
   27*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   17*z^6 - z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 10975] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 29*z^2 - (6*z^2)/a^4 + 
   (21*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 30*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (29*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10976] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (11*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (16*z^4)/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 10977] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10978] -> -4 + 2/a^2 + a^2 + 5*a^4 - 3*a^6 - 9*z^2 + 
   (5*z^2)/a^2 - 6*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 - 11*z^4 + (6*z^4)/a^2 - 
   13*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 10979] -> a^(-10) - 5/a^8 + 9/a^6 - 
   8/a^4 + 4/a^2 - 2*z^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - 
   (24*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (24*z^4)/a^6 - (31*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 10980] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 10981] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + 
   (8*z^4)/a^4 - (12*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 10982] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 10983] -> 
  -4 + 2/a^2 + a^2 + 5*a^4 - 3*a^6 - 9*z^2 + (5*z^2)/a^2 - 6*a^2*z^2 + 
   18*a^4*z^2 - 6*a^6*z^2 - 11*z^4 + (6*z^4)/a^2 - 13*a^2*z^4 + 20*a^4*z^4 - 
   4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 10984] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (7*z^4)/a^6 - (25*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10985] -> -a^(-14) + 4/a^12 - 7/a^10 + 5/a^8 - 2/a^6 + 
   2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (17*z^2)/a^10 + (9*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 10986] -> -7 + a^(-6) - 4/a^4 + 7/a^2 + 6*a^2 - 
   2*a^4 - 21*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 26*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (25*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 10987] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   17*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 10988] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 20*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (18*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (24*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 10989] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 10990] -> -10 - a^(-8) + 6/a^6 - 12/a^4 + 14/a^2 + 
   4*a^2 - 21*z^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - (31*z^2)/a^4 + 
   (32*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (31*z^4)/a^4 + (32*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (17*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 10991] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 
   9/a^2 - 5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (21*z^2)/a^2 - 
   4*z^4 + z^4/a^8 + (7*z^4)/a^6 - (25*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 10992] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - 2*a^2 + 2*a^4 + 
   z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 10993] -> -7 + 2/a^2 + 12*a^2 - 8*a^4 + 
   2*a^6 - 30*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 30*a^2*z^2 - 12*a^4*z^2 + 
   a^6*z^2 - 37*z^4 - (5*z^4)/a^4 + (22*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 
   20*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 10994] -> 
  -4 + 2/a^2 + 3*a^2 + 2*a^4 - 3*a^6 + a^8 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 10995] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - z^2 + 
   9*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   14*a^2*z^4 - 26*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 10996] -> -10 + 4/a^2 + 11*a^2 - 5*a^4 + a^6 - 
   29*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 26*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 31*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 27*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 10997] -> 2/a^4 - 3/a^2 + 4*a^2 - 3*a^4 + a^6 - z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 10998] -> 8*a^6 - 13*a^8 + 8*a^10 - 2*a^12 + 
   2*a^2*z^2 - 10*a^4*z^2 + 32*a^6*z^2 - 31*a^8*z^2 + 12*a^10*z^2 - 
   a^12*z^2 + 5*a^2*z^4 - 21*a^4*z^4 + 38*a^6*z^4 - 24*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 16*a^4*z^6 + 20*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 10999] -> 
  3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + z^2 - 4*a^2*z^2 + 8*a^4*z^2 + 
   2*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 4*a^4*z^4 + 
   6*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11000] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 8*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11001] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - z^2 + 
   9*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   14*a^2*z^4 - 26*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11002] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 8*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11003] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   7*a^2*z^2 - 18*a^4*z^2 + 21*a^6*z^2 - 7*a^8*z^2 + 9*a^2*z^4 - 26*a^4*z^4 + 
   17*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 + 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11004] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + 3*z^4 - 8*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 11005] -> 
  a^4 + 5*a^6 - 9*a^8 + 5*a^10 - a^12 + 2*a^2*z^2 - 7*a^4*z^2 + 21*a^6*z^2 - 
   18*a^8*z^2 + 5*a^10*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 21*a^6*z^4 - 
   7*a^8*z^4 - a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 + 4*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 11006] -> 4*a^4 - 4*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 2*z^4 - 6*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 + a^4*z^6 - 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11007] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11008] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 9*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11009] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 6*a^2*z^2 - 11*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 21*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11010] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11011] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11012] -> -3 - a^(-6) + 4/a^2 + a^2 - 7*z^2 - 
   z^2/a^6 + (9*z^2)/a^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 11013] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11014] -> -1 - a^(-6) + 3/a^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 6*z^4 - (6*z^4)/a^6 + (18*z^4)/a^4 - (18*z^4)/a^2 + 5*z^6 - 
   (11*z^6)/a^6 + (33*z^6)/a^4 - (27*z^6)/a^2 + z^8 - (6*z^8)/a^6 + 
   (24*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 11015] -> -1 - 2/a^4 + 4/a^2 + z^2 + 
   z^2/a^4 - 3*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11016] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11017] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 11018] -> 3 - a^(-2) - a^2 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 - a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11019] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 14*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - z^4/a^4 + (8*z^4)/a^2 + 24*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11020] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11021] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 23*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   27*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 30*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 29*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11022] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 
   10*z^2 + z^2/a^2 + 27*a^2*z^2 - 26*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 
   14*z^4 + (2*z^4)/a^2 + 33*a^2*z^4 - 27*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 20*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11023] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 16*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (21*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11024] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 28*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (21*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 32*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (24*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11025] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - 
   a^12 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 4*a^10*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 11026] -> 
  1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 11027] -> 
  -2 + 2/a^4 - 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 11028] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - 2*z^2 + 12*a^2*z^2 - 24*a^4*z^2 + 
   24*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 15*a^2*z^4 - 30*a^4*z^4 + 
   26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 11029] -> -4/a^8 + 10/a^6 - 9/a^4 + 4/a^2 - z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (25*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (32*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11030] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11031] -> -17 - 4/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 
   39*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (31*z^2)/a^2 + 21*a^2*z^2 - 
   4*a^4*z^2 - 38*z^4 + z^4/a^6 - (10*z^4)/a^4 + (29*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 11032] -> 
  2 - 2*a^2 - a^4 + 5*a^6 - 4*a^8 + a^10 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 - 
   5*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 11033] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^6 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 11034] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11035] -> 
  4 - 12*a^2 + 15*a^4 - 6*a^6 + 16*z^2 - 52*a^2*z^2 + 56*a^4*z^2 - 
   17*a^6*z^2 + 29*z^4 - 91*a^2*z^4 + 80*a^4*z^4 - 17*a^6*z^4 + 23*z^6 - 
   82*a^2*z^6 + 54*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 40*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 11036] -> a^(-2) - 5*a^2 + 9*a^4 - 4*a^6 - 5*z^2 + 
   (4*z^2)/a^2 - 13*a^2*z^2 + 24*a^4*z^2 - 8*a^6*z^2 - 12*z^4 + (8*z^4)/a^2 - 
   17*a^2*z^4 + 26*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 14*a^2*z^6 + 
   12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 11037] -> -4 + 2/a^2 + 2*a^2 + 3*a^4 - 
   2*a^6 - 12*z^2 + (5*z^2)/a^2 + a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 17*z^4 + 
   (8*z^4)/a^2 - 4*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11038] -> 
  -3/a^10 + 11/a^8 - 15/a^6 + 8/a^4 - (12*z^2)/a^10 + (47*z^2)/a^8 - 
   (58*z^2)/a^6 + (24*z^2)/a^4 - (25*z^4)/a^10 + (83*z^4)/a^8 - 
   (87*z^4)/a^6 + (22*z^4)/a^4 - (22*z^6)/a^10 + (77*z^6)/a^8 - 
   (59*z^6)/a^6 + (8*z^6)/a^4 - (8*z^8)/a^10 + (39*z^8)/a^8 - (18*z^8)/a^6 + 
   z^8/a^4 - z^10/a^10 + (10*z^10)/a^8 - (2*z^10)/a^6 + z^12/a^8, 
 Knot[15, Alternating, 11039] -> -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - 
   (7*z^2)/a^10 + (23*z^2)/a^8 - (18*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (11*z^4)/a^10 + (28*z^4)/a^8 - (11*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^10 + (19*z^6)/a^8 + (4*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11040] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (3*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 
   (8*z^4)/a^10 + (18*z^4)/a^8 + z^4/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11041] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   5*z^2 + (7*z^2)/a^6 - (19*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (2*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11042] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 
   2*z^2 - (4*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11043] -> -3 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + 
   2*a^2 - 7*z^2 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 11044] -> 
  3 + a^(-4) - 2/a^2 - 4*a^2 + 5*a^4 - 2*a^6 + 6*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 11045] -> 2 - a^(-10) + 4/a^8 - 5/a^6 + 3/a^4 - 
   2/a^2 + 3*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (10*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11046] -> -6 + a^(-6) - 3/a^4 + 5/a^2 + 6*a^2 - 
   2*a^4 - 18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11047] -> 2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11048] -> 
  -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 8*z^2 + z^2/a^4 + z^2/a^2 + 
   3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 11049] -> -a^(-12) + 5/a^10 - 11/a^8 + 13/a^6 - 
   9/a^4 + 4/a^2 - z^2/a^12 + (9*z^2)/a^10 - (21*z^2)/a^8 + (27*z^2)/a^6 - 
   (21*z^2)/a^4 + (8*z^2)/a^2 + (2*z^4)/a^10 - (13*z^4)/a^8 + (21*z^4)/a^6 - 
   (22*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + z^6/a^8 + (11*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 11050] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 18*z^2 + (2*z^2)/a^4 + z^2/a^2 + 25*a^2*z^2 - 
   8*a^4*z^2 - 19*z^4 + (7*z^4)/a^4 - (8*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 
   14*z^6 + (5*z^6)/a^4 - (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11051] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^6 + 
   z^4/a^4 - (9*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11052] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 
   (2*z^2)/a^10 + z^2/a^8 + (15*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - 
   (7*z^4)/a^10 + (9*z^4)/a^8 + (16*z^4)/a^6 - (29*z^4)/a^4 + (6*z^4)/a^2 - 
   (5*z^6)/a^10 + (12*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11053] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11054] -> 
  -6 + a^(-6) - 3/a^4 + 5/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11055] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11056] -> 
  -4 - 2/a^8 + 8/a^6 - 15/a^4 + 14/a^2 - 8*z^2 - z^2/a^8 + (14*z^2)/a^6 - 
   (33*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 + (3*z^4)/a^6 - 
   (31*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11057] -> 
  a^(-10) - 5/a^8 + 13/a^6 - 16/a^4 + 8/a^2 - (9*z^2)/a^8 + (30*z^2)/a^6 - 
   (36*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^10 - z^4/a^8 + (28*z^4)/a^6 - 
   (32*z^4)/a^4 + (6*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (16*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 11058] -> 
  4 + a^(-8) - 2/a^6 + 4/a^4 - 6/a^2 + 4*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 11059] -> 
  -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 5*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 + z^6/a^8 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 11060] -> 
  -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 24*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   23*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11061] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   28*z^2 + z^2/a^6 - (8*z^2)/a^4 + (23*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 
   29*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (30*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11062] -> 4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 13*a^2*z^2 - 26*a^4*z^2 + 24*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 21*a^2*z^4 - 34*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   16*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11063] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - 
   a^8 - 12*z^2 + (2*z^2)/a^2 + 27*a^2*z^2 - 24*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 - 21*z^4 + (5*z^4)/a^2 + 34*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   16*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 11064] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11065] -> 2 - 2*a^2 - a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 3*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 11066] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 11067] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 
   2*a^2 - 15*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (25*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (27*z^4)/a^4 + 
   (28*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11068] -> 7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 + a^2*z^2 - 
   6*a^4*z^2 + 27*a^6*z^2 - 28*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   18*a^4*z^4 + 35*a^6*z^4 - 24*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 20*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 11069] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + z^4 - 3*a^2*z^4 + 
   a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 11070] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 
   2*a^8 - 18*z^2 + (3*z^2)/a^2 + 40*a^2*z^2 - 34*a^4*z^2 + 12*a^6*z^2 - 
   a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 41*a^2*z^4 - 24*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 11071] -> 
  1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11072] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 18*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11073] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 7*z^2 + z^2/a^2 + 18*a^2*z^2 - 
   18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11074] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 14*z^4 + (5*z^4)/a^2 + 
   12*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 11075] -> 1 + a^4 - 2*a^6 + a^8 - 2*z^2 + 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11076] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11077] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11078] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11079] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11080] -> a^2 + a^6 - a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 8*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 + 
   9*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 3*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 11081] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - a^10*z^2 + 2*z^4 - a^2*z^4 - 
   9*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11082] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   5*z^2 + z^2/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11083] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 20*z^4 - z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11084] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 10*a^4*z^4 + 
   9*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11085] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + z^4 - 5*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11086] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + z^2/a^2 + 
   14*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11087] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 
   7*z^2 - (9*z^2)/a^6 + (28*z^2)/a^4 - (23*z^2)/a^2 + 11*z^4 - 
   (18*z^4)/a^6 + (56*z^4)/a^4 - (47*z^4)/a^2 + 6*z^6 - (17*z^6)/a^6 + 
   (58*z^6)/a^4 - (40*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (32*z^8)/a^4 - 
   (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 11088] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 2*z^2 - 
   (5*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (8*z^4)/a^6 + (20*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11089] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^6 + (14*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11090] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 11091] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 11092] -> 1 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 11093] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11094] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 
   5*z^4 + 13*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 
   11*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 11095] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 11096] -> 
  6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 - 3*a^4*z^2 + 21*a^6*z^2 - 19*a^8*z^2 + 
   7*a^10*z^2 - 7*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 - 5*a^10*z^4 + 
   3*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 11097] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 - a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 11098] -> 8*a^6 - 15*a^8 + 13*a^10 - 6*a^12 + a^14 - 
   4*a^4*z^2 + 27*a^6*z^2 - 33*a^8*z^2 + 19*a^10*z^2 - 4*a^12*z^2 - 
   8*a^4*z^4 + 30*a^6*z^4 - 24*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   5*a^4*z^6 + 17*a^6*z^6 - 4*a^8*z^6 - 6*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 11099] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 - 2*a^2*z^2 + 
   11*a^4*z^2 - 11*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - 3*a^2*z^4 + 
   9*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 11100] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 - z^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - z^4 + 
   2*a^2*z^4 - a^4*z^4 - a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + a^4*z^6 + 
   a^6*z^6 + a^8*z^6, Knot[15, Alternating, 11101] -> 
  -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + z^2/a^10 - (6*z^2)/a^8 + (19*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + z^4/a^8 + (14*z^4)/a^6 - 
   (20*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 11102] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + (4*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11103] -> 
  2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (17*z^2)/a^8 + (32*z^2)/a^6 - (24*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - 
   (9*z^4)/a^8 + (25*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11104] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 3*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 11105] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 3*z^2 - z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 + 
   z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 11106] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 12*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11107] -> 1 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11108] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + 12*a^4*z^2 - 25*a^6*z^2 + 23*a^8*z^2 - 
   7*a^10*z^2 + 19*a^4*z^4 - 55*a^6*z^4 + 47*a^8*z^4 - 11*a^10*z^4 + 
   17*a^4*z^6 - 58*a^6*z^6 + 40*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 
   32*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 11109] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - 
   a^10 + 3*a^2*z^2 - 9*a^6*z^2 + 12*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 
   7*a^4*z^4 - 12*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   10*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11110] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 + 3*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + 
   9*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11111] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 + z^2 - 
   4*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 11112] -> 
  1 + a^4 - 3*a^6 + 3*a^8 - a^10 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 
   7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 11113] -> 
  -7 - a^(-6) - 2/a^4 + 9/a^2 + 2*a^2 - 19*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 
   5*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (23*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11114] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 15*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11115] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - (2*z^4)/a^6 - z^4/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11116] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 11117] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11118] -> 2 - 2*a^2 + a^4 + 3*z^2 - 
   9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - 28*a^2*z^4 + 25*a^4*z^4 - 
   7*a^6*z^4 + 12*z^6 - 38*a^2*z^6 + 29*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   25*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 11119] -> a^(-2) - a^2 + a^4 + z^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 
   11*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 7*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 11120] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   7*a^2*z^2 - 18*a^4*z^2 + 21*a^6*z^2 - 7*a^8*z^2 + 9*a^2*z^4 - 26*a^4*z^4 + 
   17*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 + 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11121] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 11122] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11123] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 4*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 11124] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 - (3*z^2)/a^2 + a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11125] -> -1 + a^(-2) + a^2 + 5*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 25*z^4 + (9*z^4)/a^4 - (27*z^4)/a^2 - 
   7*a^2*z^4 + 29*z^6 + (12*z^6)/a^4 - (38*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + 
   (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 11126] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   (5*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11127] -> 
  5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - 4*z^2 + 19*a^2*z^2 - 28*a^4*z^2 + 
   15*a^6*z^2 - a^8*z^2 - 8*z^4 + 24*a^2*z^4 - 24*a^4*z^4 + a^6*z^4 + 
   2*a^8*z^4 - 5*z^6 + 16*a^2*z^6 - 4*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11128] -> 2 - 2*a^2 + 2*a^6 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + a^6*z^2 + a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 - 4*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 11129] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (24*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + z^4/a^8 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11130] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 7*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11131] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 
   4*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 11132] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + 
   a^6 - 3*z^2 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11133] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11134] -> 
  2 - 2*a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 - 12*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11135] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11136] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 12*a^2*z^2 - 17*a^4*z^2 + 
   7*a^6*z^2 + a^8*z^2 - 7*z^4 + 17*a^2*z^4 - 13*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11137] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 11138] -> 
  2 + a^(-4) - 2/a^2 - 6*z^2 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11139] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11140] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (8*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 11141] -> 2 + a^(-4) - 2/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 9*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11142] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 11143] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 15*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11144] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 
   8*z^2 + z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11145] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 + 
   6*a^8*z^2 - 12*a^2*z^4 + 34*a^4*z^4 - 40*a^6*z^4 + 11*a^8*z^4 - 
   16*a^2*z^6 + 50*a^4*z^6 - 39*a^6*z^6 + 6*a^8*z^6 - 7*a^2*z^8 + 
   31*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 11146] -> 1 + z^2 - a^2*z^2 + 3*a^4*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 7*a^4*z^4 - 16*a^6*z^4 + 
   4*a^8*z^4 - 4*z^6 + 8*a^2*z^6 + 9*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11147] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 
   3*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 5*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 11148] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + (13*z^4)/a^8 - 
   (37*z^4)/a^6 + (37*z^4)/a^4 - (10*z^4)/a^2 + (16*z^6)/a^8 - (51*z^6)/a^6 + 
   (38*z^6)/a^4 - (6*z^6)/a^2 + (7*z^8)/a^8 - (31*z^8)/a^6 + (15*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 11149] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - 3*z^4 + 
   (7*z^4)/a^8 - (16*z^4)/a^6 + (7*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11150] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (11*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11151] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   3*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 11152] -> -1 - a^(-6) + 2/a^4 + a^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11153] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 + a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 11154] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11155] -> 
  5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - 4*z^2 + 19*a^2*z^2 - 28*a^4*z^2 + 
   15*a^6*z^2 - a^8*z^2 - 8*z^4 + 24*a^2*z^4 - 24*a^4*z^4 + a^6*z^4 + 
   2*a^8*z^4 - 5*z^6 + 16*a^2*z^6 - 4*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11156] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11157] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11158] -> 
  2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 - z^2 + (8*z^2)/a^4 - (16*z^2)/a^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (10*z^4)/a^4 - (22*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 11159] -> 2 + a^(-6) - 2/a^4 + a^2 - a^4 + 
   5*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 11160] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 2*z^2 + (7*z^2)/a^4 - (13*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + (9*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11161] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11162] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 
   (6*z^2)/a^10 + (13*z^2)/a^8 - (13*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + 
   (19*z^4)/a^8 + (3*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + 
   (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11163] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11164] -> 
  2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11165] -> 
  -a^(-10) + 2/a^8 - a^(-4) + a^2 - 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 11166] -> 2 + 2/a^4 - 5/a^2 + 5*a^2 - 
   3*a^4 - z^2 + (8*z^2)/a^4 - (16*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 
   8*z^4 + (10*z^4)/a^4 - (22*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11167] -> 
  -6 - 4/a^6 + 7/a^4 + a^(-2) + 3*a^2 - 18*z^2 - (6*z^2)/a^6 + (19*z^2)/a^4 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 23*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - 
   (9*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 11168] -> 
  -2 - 2/a^8 + 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 11169] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11170] -> 
  -a^(-14) + a^(-12) + 4/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 + (5*z^2)/a^10 - (17*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11171] -> -a^(-14) + a^(-12) + 2/a^10 - 2/a^8 - 
   2/a^6 + 2/a^4 + a^(-2) - z^2/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   z^4/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 11172] -> 
  3/a^12 - 7/a^10 + 7/a^6 - 2/a^4 + (5*z^2)/a^12 - (18*z^2)/a^10 + 
   (5*z^2)/a^8 + (21*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (19*z^4)/a^10 + 
   (11*z^4)/a^8 + (25*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (10*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11173] -> a^(-12) - a^(-10) - 4/a^8 + 4/a^6 + 2/a^4 - 
   a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + 
   (12*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11174] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11175] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 - (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (13*z^4)/a^8 - (6*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11176] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11177] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11178] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (15*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^6 + (16*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11179] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11180] -> a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11181] -> a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11182] -> -a^(-14) + 2/a^12 + a^(-10) - 6/a^8 + 
   4/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 + (2*z^2)/a^10 - 
   (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (2*z^4)/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11183] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (3*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11184] -> 
  -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - (4*z^2)/a^10 + (15*z^2)/a^8 - 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - 
   (12*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11185] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   9*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + (7*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (12*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11186] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11187] -> 2 - 2/a^10 + 3/a^8 + 2/a^6 - 4/a^4 + 4*z^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 - z^2/a^2 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11188] -> 
  -3 - a^(-8) - a^(-6) + 5/a^4 - a^(-2) + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11189] -> 1 - 2/a^10 + 2/a^8 + 4/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (2*z^4)/a^6 - 
   (22*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (13*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11190] -> 2/a^12 - 4/a^10 - 2/a^8 + 6/a^6 - a^(-4) + 
   (5*z^2)/a^12 - (15*z^2)/a^10 + (2*z^2)/a^8 + (18*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (18*z^4)/a^10 + (8*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11191] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11192] -> 
  -3 - a^(-8) - a^(-6) + 5/a^4 - a^(-2) + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11193] -> -5 + 2/a^8 - 6/a^6 + 10/a^2 - 12*z^2 + 
   (5*z^2)/a^8 - (18*z^2)/a^6 + (7*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (13*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11194] -> 1 - a^(-12) + 3/a^8 - 4/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 + z^4/a^8 - (10*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 11195] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (6*z^2)/a^10 - (15*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (18*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11196] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 11197] -> 1 + a^(-8) - 3/a^6 + a^(-4) + 2/a^2 - a^2 + 
   3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11198] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11199] -> 8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 16*z^2 - 
   (5*z^2)/a^2 - 8*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 15*z^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 11200] -> 3 - a^(-4) + a^(-2) - 2*a^2 - 
   a^4 + a^6 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11201] -> -4 - 3/a^6 + 3/a^4 + 4/a^2 + a^2 - 13*z^2 - 
   (7*z^2)/a^6 + (15*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (5*z^4)/a^6 + (20*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11202] -> 
  -2 - a^(-8) - a^(-6) + 4/a^4 + a^2 - 5*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11203] -> -8 - 4/a^6 + 5/a^4 + 5/a^2 + 3*a^2 - 
   21*z^2 - (8*z^2)/a^6 + (20*z^2)/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 - 
   (5*z^4)/a^6 + (23*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11204] -> 
  -2/a^8 + a^(-6) + 5/a^4 - 4/a^2 + a^2 - z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (8*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11205] -> -a^(-10) + 2/a^6 + a^(-4) - 2/a^2 + a^2 - 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 11206] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (2*z^4)/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11207] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - 
   (6*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - 
   (8*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 11208] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 + 3*z^2 - 9*a^2*z^2 + 7*a^4*z^2 + 13*a^6*z^2 - 
   7*a^8*z^2 + 7*z^4 - 15*a^2*z^4 + 2*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 
   5*z^6 - 13*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 11209] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11210] -> -a^2 + 4*a^4 - a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11211] -> 2*a^4 - a^8 - z^2 + z^2/a^4 - z^2/a^2 + 
   a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 11212] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11213] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 8*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11214] -> 
  1 + a^(-8) - 3/a^6 + a^(-4) + 2/a^2 - a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11215] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + 
   (11*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (14*z^4)/a^6 + 
   (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11216] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11217] -> 
  8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 16*z^2 - (5*z^2)/a^2 - 8*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 + 15*z^4 - (5*z^4)/a^2 - 4*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 11218] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11219] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (15*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^6 + (16*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11220] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11221] -> -a^(-14) + a^(-12) + 4/a^10 - 8/a^8 + 
   3/a^6 + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 + (5*z^2)/a^10 - 
   (17*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   z^4/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11222] -> 
  -6 - 4/a^6 + 7/a^4 + a^(-2) + 3*a^2 - 18*z^2 - (6*z^2)/a^6 + (19*z^2)/a^4 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 23*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - 
   (9*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 11223] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11224] -> 
  3/a^12 - 7/a^10 + 7/a^6 - 2/a^4 + (5*z^2)/a^12 - (18*z^2)/a^10 + 
   (5*z^2)/a^8 + (21*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (19*z^4)/a^10 + 
   (11*z^4)/a^8 + (25*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (10*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11225] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11226] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 - (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (13*z^4)/a^8 - (6*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11227] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11228] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11229] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   4*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (14*z^4)/a^6 + (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11230] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11231] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (6*z^2)/a^10 - (15*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (18*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11232] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11233] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11234] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 8*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11235] -> 
  -2*a^4 + 6*a^6 + 2*a^8 - 8*a^10 + 3*a^12 - 7*a^4*z^2 + 14*a^6*z^2 + 
   22*a^8*z^2 - 29*a^10*z^2 + 7*a^12*z^2 - 9*a^4*z^4 + 14*a^6*z^4 + 
   41*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 11236] -> 
  -a^2 + 3*a^4 - a^6 + 4*a^8 - 6*a^10 + 2*a^12 - 3*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 + 12*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 6*a^6*z^4 + 14*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 11237] -> -a^4 + a^6 + 10*a^8 - 13*a^10 + 
   4*a^12 - 5*a^4*z^2 + 4*a^6*z^2 + 38*a^8*z^2 - 37*a^10*z^2 + 8*a^12*z^2 - 
   8*a^4*z^4 + 6*a^6*z^4 + 55*a^8*z^4 - 39*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 8*a^6*z^6 + 39*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 11238] -> -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 18*a^6*z^2 + 4*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 20*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 11239] -> 
  3/a^8 - 15/a^6 + 20/a^4 - 7/a^2 + (12*z^2)/a^8 - (55*z^2)/a^6 + 
   (77*z^2)/a^4 - (27*z^2)/a^2 + (13*z^4)/a^8 - (76*z^4)/a^6 + 
   (117*z^4)/a^4 - (38*z^4)/a^2 + (6*z^6)/a^8 - (50*z^6)/a^6 + (94*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 11240] -> -2 + 2/a^8 - 9/a^6 + 9/a^4 + a^(-2) - 
   8*z^2 + (6*z^2)/a^8 - (24*z^2)/a^6 + (23*z^2)/a^4 + (9*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (26*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11241] -> -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 
   12*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (27*z^2)/a^2 - 13*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (2*z^4)/a^4 + (33*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (8*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11242] -> 4 + a^(-8) - 4/a^6 + 4/a^4 - 2/a^2 - 2*a^2 + 
   10*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 10*z^4 + z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 11243] -> 
  -2*a^4 + 6*a^6 + 2*a^8 - 8*a^10 + 3*a^12 - 7*a^4*z^2 + 14*a^6*z^2 + 
   22*a^8*z^2 - 29*a^10*z^2 + 7*a^12*z^2 - 9*a^4*z^4 + 14*a^6*z^4 + 
   41*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 11244] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11245] -> 
  3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 6*z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 11246] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11247] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11248] -> -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 
   3*a^4*z^2 + 37*a^8*z^2 - 33*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 
   3*a^6*z^4 + 53*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   7*a^6*z^6 + 38*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 11249] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 - 
   a^4*z^2 + 9*a^6*z^2 + 11*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 15*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 11250] -> 3*a^6 - 3*a^10 + a^12 - 
   2*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 + 6*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 4*a^4*z^4 + 7*a^6*z^4 + 10*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 11251] -> 
  2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 - z^2 + a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 + 8*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 11252] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11253] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^8*z^2 - 4*z^4 + 
   19*a^2*z^4 - 15*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11254] -> 
  3 - a^(-2) - 3*a^2 + 5*a^4 - 4*a^6 + a^8 + 7*z^2 - (2*z^2)/a^2 - 
   7*a^2*z^2 + 9*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11255] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   z^2/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^4)/a^12 - (8*z^4)/a^10 + (28*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 + (5*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11256] -> a^(-12) - 4/a^10 + 4/a^8 - 3/a^6 + 4/a^4 - 
   a^(-2) + z^2/a^12 - (7*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 + 
   (10*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 + (8*z^4)/a^8 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11257] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   19*z^2 + z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11258] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 6*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (26*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 11259] -> -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - a^4 - 
   17*z^2 + (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11260] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11261] -> 
  4 - a^(-2) - 3*a^2 + a^4 - z^2/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 
   6*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11262] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 4*z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (8*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 11263] -> -2 + 6*a^2 - 3*a^4 - z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 19*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 11264] -> a^(-12) - 2/a^10 - 4/a^8 + 
   8/a^6 - 2/a^4 - z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11265] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11266] -> 1 - 2/a^4 + 3/a^2 - a^2 + 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11267] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11268] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11269] -> 2 + a^(-4) - 2/a^2 + 11*z^2 - (2*z^2)/a^6 + 
   (15*z^2)/a^4 - (25*z^2)/a^2 + 21*z^4 - (7*z^4)/a^6 + (37*z^4)/a^4 - 
   (60*z^4)/a^2 + 18*z^6 - (5*z^6)/a^6 + (35*z^6)/a^4 - (62*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 11270] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 4*z^2 - (2*z^2)/a^6 + (13*z^2)/a^4 - 
   (19*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - 
   (20*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + (9*z^6)/a^4 - (12*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11271] -> 4 - a^(-4) - 2*a^2 + 26*z^2 + (2*z^2)/a^4 - 
   (14*z^2)/a^2 - 11*a^2*z^2 + 60*z^4 + (7*z^4)/a^4 - (37*z^4)/a^2 - 
   21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 11272] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 
   17*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 11273] -> 
  -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 18*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (25*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11274] -> 
  3 - a^(-8) + 4/a^6 - 4/a^4 - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 11275] -> 
  -10 - 4/a^4 + 11/a^2 + 5*a^2 - a^4 - 29*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (28*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 33*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (28*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11276] -> -4 - 2/a^6 + 4/a^4 + 4*a^2 - a^4 - 
   8*z^2 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 11277] -> -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - 
   8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11278] -> 
  -5 - a^(-6) + a^(-4) + 3/a^2 + 4*a^2 - a^4 - 13*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11279] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (14*z^2)/a^4 - (3*z^2)/a^2 + 8*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (14*z^4)/a^4 - (15*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (10*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 11280] -> 
  3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11281] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 
   17*a^2*z^4 - 8*a^4*z^4 + 8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 11282] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 + z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11283] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 
   2*a^2 - 22*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (29*z^2)/a^2 + 
   6*a^2*z^2 - 28*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (34*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 11284] -> 
  -10 - 4/a^4 + 11/a^2 + 5*a^2 - a^4 - 26*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (31*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + (2*z^4)/a^6 - 
   (17*z^4)/a^4 + (36*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11285] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (16*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11286] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 6*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 11287] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11288] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + 
   a^4 + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 11289] -> 2 - 2*a^2 + a^4 - 2*z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11290] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11291] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 11292] -> -1 - a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) + a^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + 
   2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11293] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11294] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11295] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 - 2*a^2*z^2 + a^4*z^2 + a^8*z^2 - 3*z^4 + 4*a^2*z^4 - 6*a^6*z^4 + 
   2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11296] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   17*z^2 - (2*z^2)/a^6 + (16*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11297] -> 
  4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 8*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 11298] -> -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11299] -> 
  1 - a^2 + 2*a^4 - a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11300] -> 
  -4 + 2/a^2 + a^2 + 5*a^4 - 3*a^6 - 14*z^2 + (7*z^2)/a^2 - a^2*z^2 + 
   15*a^4*z^2 - 5*a^6*z^2 - 20*z^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 18*a^4*z^4 - 
   4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 11301] -> -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - 
   (6*z^2)/a^14 + (21*z^2)/a^12 - (26*z^2)/a^10 + (8*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^4)/a^14 + (31*z^4)/a^12 - (37*z^4)/a^10 + (3*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (31*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 11302] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (13*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - z^4/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11303] -> -3 + 2/a^2 + 3*a^4 - a^8 - 6*z^2 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11304] -> -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (9*z^2)/a^12 - (4*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11305] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 11306] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11307] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 4*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 
   a^8*z^2 - 7*a^2*z^4 + 18*a^4*z^4 - 22*a^6*z^4 + 7*a^8*z^4 - 12*a^2*z^6 + 
   36*a^4*z^6 - 29*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 
   13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 11308] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 4*z^4 + 6*a^2*z^4 - 2*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11309] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   26*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (27*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 27*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (33*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11310] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 
   z^2 + z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 11311] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 
   9*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 5*z^4 + 13*a^2*z^4 - 
   13*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 11312] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 
   z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 + z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   8*a^4*z^4 - a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 11313] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 16*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 13*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (18*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + z^6/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 11314] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 3*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - 3*z^4 + 6*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11315] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11316] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11317] -> -2/a^14 + 8/a^12 - 13/a^10 + 7/a^8 + 
   a^(-6) - (7*z^2)/a^14 + (28*z^2)/a^12 - (39*z^2)/a^10 + (19*z^2)/a^8 + 
   (6*z^2)/a^6 - (5*z^4)/a^14 + (36*z^4)/a^12 - (50*z^4)/a^10 + 
   (12*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (37*z^6)/a^10 - 
   (4*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 11318] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - (3*z^2)/a^14 + (10*z^2)/a^12 - 
   (6*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (7*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11319] -> 
  4 - 13*a^2 + 17*a^4 - 7*a^6 + 20*z^2 - 60*a^2*z^2 + 61*a^4*z^2 - 
   17*a^6*z^2 + 33*z^4 - 103*a^2*z^4 + 84*a^4*z^4 - 17*a^6*z^4 + 24*z^6 - 
   88*a^2*z^6 + 55*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 41*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 11320] -> -1 + a^(-2) - 3*a^2 + 8*a^4 - 4*a^6 - 
   7*z^2 + (6*z^2)/a^2 - 14*a^2*z^2 + 26*a^4*z^2 - 8*a^6*z^2 - 15*z^4 + 
   (9*z^4)/a^2 - 20*a^2*z^4 + 27*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11321] -> 
  -6 + 2/a^2 + 7*a^2 - a^4 - a^6 - 23*z^2 + (9*z^2)/a^2 + 14*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 - 30*z^4 + (12*z^4)/a^2 + 5*a^2*z^4 + 15*a^4*z^4 - 
   4*a^6*z^4 - 20*z^6 + (6*z^6)/a^2 - 6*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 11322] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 
   6*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 
   z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 11323] -> -2/a^14 + 6/a^12 - 6/a^10 - 
   a^(-8) + 4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - (9*z^2)/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (8*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11324] -> 
  -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 + 
   z^2/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (8*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 11325] -> 
  4 - 10*a^2 + 9*a^4 - 2*a^8 + 13*z^2 - 31*a^2*z^2 + 17*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + 13*z^4 - 36*a^2*z^4 + 5*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 
   6*z^6 - 21*a^2*z^6 - 6*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 11326] -> a^(-2) - 4*a^2 + 6*a^4 - a^6 - a^8 - 3*z^2 + 
   (4*z^2)/a^2 - 10*a^2*z^2 + 9*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 12*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11327] -> -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 9*z^2 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + 10*a^4*z^2 - a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (4*z^4)/a^2 - 9*a^2*z^4 + 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   z^6/a^2 - 7*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11328] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - 
   z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 11329] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 11330] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11331] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11332] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11333] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11334] -> 
  -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 28*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 31*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11335] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - 2*a^4 + 
   a^6 - z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 11336] -> 
  6*a^2 - 10*a^4 + 7*a^6 - 3*a^8 + a^10 - 4*z^2 + 17*a^2*z^2 - 29*a^4*z^2 + 
   21*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 19*a^2*z^4 - 32*a^4*z^4 + 
   25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 18*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 11337] -> 3 - 3*a^2 + 2*a^6 - 2*a^8 + a^10 + 6*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11338] -> 5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - 2*z^2 + 
   15*a^2*z^2 - 30*a^4*z^2 + 25*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   16*a^2*z^4 - 35*a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 19*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 11339] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 5*z^2 - z^2/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 11340] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11341] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11342] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11343] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   14*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   23*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11344] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 23*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11345] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - (6*z^2)/a^14 + (21*z^2)/a^12 - 
   (26*z^2)/a^10 + (8*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (31*z^4)/a^12 - 
   (37*z^4)/a^10 + (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (31*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 11346] -> -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (9*z^2)/a^12 - (4*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11347] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 - z^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11348] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11349] -> 6*a^2 - 10*a^4 + 7*a^6 - 3*a^8 + a^10 - 
   5*z^2 + 19*a^2*z^2 - 30*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 27*a^2*z^4 - 34*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11350] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11351] -> 2 - 2*a^2 + a^4 - 2*z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 11352] -> 
  2 - 2*a^2 + a^4 + 3*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 13*a^2*z^4 - 21*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11353] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11354] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 2*z^2 - 
   z^2/a^4 - 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11355] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + 
   z^2/a^6 + a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11356] -> 2 - 2*a^2 + a^4 - z^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11357] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11358] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 + 
   a^6*z^2 - z^4/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 11359] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - z^4 - z^4/a^4 + z^4/a^2 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11360] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11361] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - 
   2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11362] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11363] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11364] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 5*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11365] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 5*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11366] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 10*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11367] -> 
  -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 10*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11368] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11369] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 22*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   6*a^2*z^2 + a^4*z^2 - 14*z^4 - (8*z^4)/a^4 + (22*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 11370] -> -2 + 2/a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11371] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11372] -> 4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 
   7*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11373] -> -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 
   16*z^2 + (7*z^2)/a^2 + 5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 23*z^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 
   4*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11374] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 19*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11375] -> 
  3 + a^(-6) - 2/a^4 + a^(-2) - 4*a^2 + 2*a^4 + 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 11376] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11377] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11378] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 
   18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 25*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11379] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 10*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (7*z^4)/a^6 + (15*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11380] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11381] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 8*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11382] -> -5 - a^(-4) + 3/a^2 + 8*a^2 - 
   5*a^4 + a^6 - 19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 22*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11383] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   19*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + 
   (11*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 11384] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11385] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11386] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   15*z^2 + (3*z^2)/a^2 + 26*a^2*z^2 - 21*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   23*z^4 + (6*z^4)/a^2 + 33*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11387] -> 4 - 12*a^2 + 15*a^4 - 6*a^6 + 18*z^2 - 
   54*a^2*z^2 + 54*a^4*z^2 - 15*a^6*z^2 + 28*z^4 - 88*a^2*z^4 + 71*a^4*z^4 - 
   14*a^6*z^4 + 20*z^6 - 74*a^2*z^6 + 46*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   35*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 11388] -> -1 + a^(-2) - 2*a^2 + 6*a^4 - 
   3*a^6 - 10*z^2 + (6*z^2)/a^2 - 6*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 - 
   18*z^4 + (9*z^4)/a^2 - 10*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 10*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11389] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (11*z^2)/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (13*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11390] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (11*z^4)/a^8 + (22*z^4)/a^6 - (26*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11391] -> -5 + 2/a^2 + 5*a^2 - a^6 - 17*z^2 + 
   (7*z^2)/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 23*z^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 4*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 11392] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 20*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11393] -> 
  1 + a^(-2) - 6*a^2 + 7*a^4 - a^6 - a^8 - 2*z^2 + (3*z^2)/a^2 - 9*a^2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 - 8*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11394] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 11395] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11396] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 6*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 25*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 11397] -> 
  -a^(-4) + 2/a^2 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 11398] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   8*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + 
   (9*z^4)/a^4 - (17*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11399] -> 
  2*a^2 - a^4 + 3*z^2 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11400] -> 
  -2 - a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 + a^2 - 10*z^2 - (4*z^2)/a^8 + 
   (15*z^2)/a^6 - (24*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (28*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11401] -> -a^(-14) + 4/a^12 - 7/a^10 + 4/a^8 + 
   a^(-4) - (3*z^2)/a^14 + (12*z^2)/a^12 - (15*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (16*z^4)/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11402] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   15*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11403] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (11*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11404] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 22*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11405] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 
   3*a^2 - 18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11406] -> -a^(-14) + 2/a^12 - 5/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - z^2/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - (16*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11407] -> 7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 + 
   3*a^2*z^2 - 11*a^4*z^2 + 30*a^6*z^2 - 27*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 6*a^2*z^4 - 23*a^4*z^4 + 36*a^6*z^4 - 22*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 17*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 11408] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + z^2 - 3*a^2*z^2 + 7*a^4*z^2 + 
   a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 3*a^4*z^4 + 
   5*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11409] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   20*z^2 + (5*z^2)/a^2 + 29*a^2*z^2 - 21*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   21*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 24*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11410] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 5*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 11411] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11412] -> 
  -5 + 2/a^2 + 10*a^2 - 11*a^4 + 6*a^6 - a^8 - 16*z^2 + (3*z^2)/a^2 + 
   28*a^2*z^2 - 28*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   33*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11413] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + 
   a^6 + 6*z^2 + z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 11414] -> -5 - a^(-8) + 6/a^6 - 11/a^4 + 10/a^2 + 
   2*a^2 - 14*z^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - (28*z^2)/a^4 + 
   (24*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (30*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 11415] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 
   2*a^2 - a^4 - 11*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11416] -> 4 + a^(-6) - 3/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 11417] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + 
   a^4 - 5*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11418] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11419] -> -7 - a^(-4) + 5/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11420] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11421] -> 6*a^2 - 12*a^4 + 11*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 15*a^2*z^2 - 32*a^4*z^2 + 27*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 16*a^2*z^4 - 35*a^4*z^4 + 27*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 19*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 11422] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^2 - 8*a^2*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11423] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11424] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + (9*z^4)/a^4 - (18*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11425] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 11426] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + 
   (15*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11427] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 11428] -> -9 + 4/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 
   25*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 29*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 - 
   25*z^4 - z^4/a^4 + (9*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11429] -> 
  1 + 2/a^4 - 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 11430] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 11431] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11432] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11433] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 11434] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11435] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 11436] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 21*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   20*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11437] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   5*z^2 + 17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   z^4/a^2 + 23*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11438] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + z^2 - z^2/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11439] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11440] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 7*z^2 + (6*z^2)/a^4 - (15*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + (9*z^4)/a^4 - (22*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11441] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11442] -> 5 - a^(-6) + 6/a^4 - 9/a^2 + 11*z^2 - 
   (6*z^2)/a^6 + (24*z^2)/a^4 - (32*z^2)/a^2 + 12*z^4 - (17*z^4)/a^6 + 
   (52*z^4)/a^4 - (52*z^4)/a^2 + 6*z^6 - (17*z^6)/a^6 + (57*z^6)/a^4 - 
   (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (32*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 11443] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (8*z^4)/a^6 + (19*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11444] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   19*z^2 - z^2/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11445] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 
   z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 11446] -> 1 + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11447] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + (9*z^4)/a^4 - 
   (17*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11448] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11449] -> 
  -2 + a^(-2) + 4*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   21*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11450] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + 
   a^10 + 8*a^2*z^2 - 19*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + 9*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 7*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 11451] -> 
  a^2 - 2*a^4 + 7*a^6 - 8*a^8 + 4*a^10 - a^12 + z^2 + a^2*z^2 - 8*a^4*z^2 + 
   21*a^6*z^2 - 16*a^8*z^2 + 5*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 7*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 11452] -> 
  -2 + a^(-2) + 6*a^2 - 8*a^4 + 5*a^6 - a^8 - 9*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   20*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 11453] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 26*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   20*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 32*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11454] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11455] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11456] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   3*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 11457] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 7*z^2 + 21*a^2*z^2 - 21*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 11458] -> 
  -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 25*z^2 - (4*z^2)/a^4 + 
   (16*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 32*z^4 - (6*z^4)/a^4 + 
   (24*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11459] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11460] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11461] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (22*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 23*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (24*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11462] -> a^(-8) - 2/a^6 + a^(-4) + a^(-2) - 
   a^2 + a^4 - z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 11463] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11464] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 + z^2/a^4 + 14*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   12*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 11465] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11466] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 2*z^4 + a^2*z^4 - 
   16*a^4*z^4 + 13*a^6*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11467] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   8*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11468] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11469] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11470] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + z^2 + 3*a^2*z^2 - 14*a^4*z^2 + 
   22*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 + 2*z^4 + a^2*z^4 - 17*a^4*z^4 + 
   18*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 
   4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11471] -> 4 - 11*a^2 + 13*a^4 - 5*a^6 + 16*z^2 - 
   47*a^2*z^2 + 45*a^4*z^2 - 12*a^6*z^2 + 25*z^4 - 79*a^2*z^4 + 63*a^4*z^4 - 
   13*a^6*z^4 + 19*z^6 - 69*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 11472] -> a^(-2) - 4*a^2 + 7*a^4 - 3*a^6 - 
   3*z^2 + (4*z^2)/a^2 - 15*a^2*z^2 + 21*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + 
   (6*z^4)/a^2 - 18*a^2*z^4 + 21*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   12*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11473] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 15*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11474] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 11475] -> -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11476] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 11477] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 21*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11478] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11479] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   23*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 21*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   27*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11480] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 8*z^2 + z^2/a^2 + 16*a^2*z^2 - 
   18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 11481] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 6*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 + 7*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 + 5*a^8*z^4 - 
   2*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11482] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 9*z^2 - 
   (11*z^2)/a^6 + (34*z^2)/a^4 - (30*z^2)/a^2 + 12*z^4 - (21*z^4)/a^6 + 
   (65*z^4)/a^4 - (54*z^4)/a^2 + 6*z^6 - (18*z^6)/a^6 + (63*z^6)/a^4 - 
   (42*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 11483] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 - 
   (7*z^2)/a^6 + (19*z^2)/a^4 - (12*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (9*z^4)/a^6 + (24*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11484] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   (5*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (7*z^4)/a^6 + (18*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (4*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11485] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + z^4 - 
   z^4/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11486] -> 
  -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - (6*z^2)/a^10 + (20*z^2)/a^8 - 
   (18*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - 
   (12*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 11487] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11488] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (7*z^4)/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11489] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 15*z^2 + (3*z^2)/a^4 - z^2/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 17*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   12*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11490] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 8*z^2 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   7*a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 7*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 11491] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 
   2*a^2 - 13*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11492] -> -2 + a^(-2) + 4*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 - 7*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 
   2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11493] -> 
  -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   6*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 11494] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 14*z^2 + 
   (3*z^2)/a^2 + 27*a^2*z^2 - 21*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 23*z^4 + 
   (6*z^4)/a^2 + 33*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 
   18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11495] -> -8 + 4/a^2 + 7*a^2 - 3*a^4 + a^6 - 22*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11496] -> 
  6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 2*a^2*z^2 - 6*a^4*z^2 + 23*a^6*z^2 - 
   23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 
   28*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 11497] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 
   8*a^2*z^2 - 20*a^4*z^2 + 21*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   13*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11498] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11499] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 11500] -> 
  a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 
   13*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 
   14*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 11501] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + 
   a^2 - 9*z^2 - (5*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (8*z^4)/a^6 + (17*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11502] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11503] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 
   7*a^2*z^4 - 17*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11504] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11505] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 11506] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 5*z^2 + z^2/a^8 + (8*z^2)/a^6 - 
   (23*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (4*z^4)/a^6 - 
   (21*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11507] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (5*z^2)/a^10 + (15*z^2)/a^8 - 
   (11*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (21*z^4)/a^8 - 
   (8*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11508] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 11509] -> 
  1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11510] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 - z^2/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11511] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11512] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 11513] -> 
  -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 15*z^2 + (3*z^2)/a^2 + 32*a^2*z^2 - 
   27*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 24*z^4 + (6*z^4)/a^2 + 36*a^2*z^4 - 
   22*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 11514] -> 
  -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11515] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 - 5*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 11516] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 13*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11517] -> -8 + 4/a^2 + 7*a^2 - 3*a^4 + a^6 - 27*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 32*z^4 - 
   (6*z^4)/a^4 + (24*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 11518] -> -5 + 2/a^2 + 8*a^2 - 7*a^4 + 
   4*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 18*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11519] -> 
  -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 12*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11520] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 
   2*a^8 - 10*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 22*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11521] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11522] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + z^2/a^2 + 14*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 11523] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11524] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11525] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 7*z^2 + 23*a^2*z^2 - 21*a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 - 9*z^4 + 25*a^2*z^4 - 12*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 2*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11526] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 9*z^2 - 
   (3*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 11527] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (8*z^4)/a^4 - 
   (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11528] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11529] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - (7*z^4)/a^10 + (15*z^4)/a^8 - 
   z^4/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11530] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11531] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 - z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11532] -> a^(-8) - a^(-6) + a^2 - 2*z^2 - z^2/a^10 + 
   z^2/a^8 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 11533] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 
   4/a^2 + z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^8 + (16*z^4)/a^6 - (16*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11534] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 4*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (19*z^2)/a^4 + (17*z^2)/a^2 + z^4/a^8 + (5*z^4)/a^6 - (19*z^4)/a^4 + 
   (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11535] -> 
  -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 22*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   26*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   32*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11536] -> -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 
   29*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 33*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (23*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11537] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 13*z^4 - z^4/a^6 - (8*z^4)/a^4 + 
   (18*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + (11*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 11538] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 21*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (18*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11539] -> 
  -3 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - 
   z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 11540] -> 
  -1 + 2/a^6 - 4/a^4 + 4/a^2 - 2*a^2 + 2*a^4 - z^2/a^8 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 11541] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^8 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11542] -> 2*a^4 - a^8 - a^2*z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   4*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 11543] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11544] -> -4 - 2/a^4 + 6/a^2 + a^4 - 5*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11545] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11546] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 7*a^2*z^2 - 
   5*a^4*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 + a^4*z^4 + a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 11547] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   3*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11548] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   7*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 16*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 11549] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 6*z^2 + 
   19*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   z^4/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 11550] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 16*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11551] -> a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11552] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11553] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 + 14*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 - a^2*z^4 - a^4*z^4 + 14*a^6*z^4 - 13*a^8*z^4 + 2*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 11554] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 - 2*z^2 + 5*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 - 3*z^4 + 4*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 - 
   3*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 6*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 11555] -> 
  1 + 2*z^2 - z^2/a^2 - a^4*z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   a^2*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 11556] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 15*z^2 + 
   (5*z^2)/a^4 - (17*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 10*z^4 + (8*z^4)/a^4 - 
   (21*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11557] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11558] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 18*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (26*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 22*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (30*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11559] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   3*z^2 + (8*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11560] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 8*z^4 + (8*z^4)/a^4 - (15*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11561] -> 2*a^2 - a^4 + z^2 + z^2/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11562] -> a^(-6) - 3/a^4 + 3/a^2 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - (7*z^4)/a^10 + 
   (14*z^4)/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + 
   (13*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11563] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11564] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^10 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11565] -> a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^10 + 
   z^2/a^8 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 11566] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 11567] -> -3 - a^(-8) + 5/a^6 - 9/a^4 + 
   8/a^2 + a^2 - 10*z^2 - (4*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + 
   (20*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (28*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (17*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 11568] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - 
   a^8 - 13*z^2 + (2*z^2)/a^2 + 28*a^2*z^2 - 23*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 22*z^4 + (6*z^4)/a^2 + 34*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 11569] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (19*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11570] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 11571] -> -6 - a^(-8) + 4/a^6 - 8/a^4 + 
   10/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + 
   (22*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (23*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 11572] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + 
   a^4 + 8*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11573] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 
   17*z^2 + (7*z^2)/a^2 + 8*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 23*z^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 
   4*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11574] -> 
  -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 21*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11575] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (5*z^2)/a^10 + (15*z^2)/a^8 - (10*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (8*z^4)/a^10 + (21*z^4)/a^8 - (8*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11576] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11577] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 9*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11578] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11579] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 - z^2/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11580] -> 
  -3 + a^(-2) + 8*a^2 - 9*a^4 + 5*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   26*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 23*z^4 + (6*z^4)/a^2 + 
   33*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11581] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 15*z^4 + (5*z^4)/a^2 + 
   11*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 11582] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 6*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   2*a^4*z^4 + a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 11583] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 7*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 
   2*a^10*z^2 + 9*a^2*z^4 - 23*a^4*z^4 + 8*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 
   5*a^2*z^6 - 16*a^4*z^6 - 3*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11584] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11585] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11586] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11587] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   7*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11588] -> 
  -2/a^10 + 6/a^8 - 7/a^6 + 3/a^4 + a^(-2) - (6*z^2)/a^10 + (19*z^2)/a^8 - 
   (15*z^2)/a^6 + (4*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - (11*z^4)/a^6 - 
   (10*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 11589] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11590] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 
   10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 17*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11591] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - a^(-2) + z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (19*z^4)/a^6 - (19*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11592] -> 
  a^(-10) - 3/a^8 + 3/a^6 - a^(-2) + a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 11593] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 11594] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 
   3*z^2 - 4*a^2*z^2 - 4*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + 3*z^4 - 
   5*a^2*z^4 - 8*a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11595] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 + 
   5*a^2*z^2 - 14*a^4*z^2 + 20*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 
   18*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 
   a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11596] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 11597] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 11598] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 8*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11599] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 + 2*a^2*z^4 - 13*a^4*z^4 + 
   13*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 4*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 11600] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 8*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11601] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 11602] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 4*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   8*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 4*a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11603] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + z^2 + 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11604] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11605] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11606] -> 1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11607] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11608] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - 12*z^4 - (8*z^4)/a^4 + (23*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 11609] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11610] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 13*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11611] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   15*z^2 - z^2/a^6 - (2*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11612] -> -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 - 
   6*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11613] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11614] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 - 6*z^4 + 17*a^2*z^4 - 10*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 
   4*z^6 + 12*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 11615] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11616] -> 2 - 2*a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11617] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 17*a^2*z^2 - 20*a^4*z^2 + 
   9*a^6*z^2 - 3*z^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 17*a^4*z^4 + a^8*z^4 + 
   z^6 - z^6/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 11618] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 
   3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11619] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11620] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11621] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11622] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + 
   z^2/a^8 - z^2/a^6 + z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 11623] -> -2/a^8 + 2/a^6 + a^(-4) - z^2 + z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 + 
   (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11624] -> 
  -a^(-8) + 2/a^4 - z^2 + z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11625] -> 
  4*a^6 - 3*a^8 - a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 
   4*a^4*z^4 + 14*a^6*z^4 - 8*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   10*a^6*z^6 + 4*a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 11626] -> a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 11627] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   z^4/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 11628] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^4 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 11629] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - 
   a^4*z^2 + 16*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 + 
   16*a^6*z^4 - 12*a^8*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 - 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 11630] -> -7 + 4/a^2 + 5*a^2 - 2*a^4 + a^6 - 19*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11631] -> 
  2/a^4 - 2/a^2 + a^2 - a^4 + a^6 - z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 11632] -> 
  -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 10*z^2 + z^2/a^2 + 25*a^2*z^2 - 
   22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 - 
   21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11633] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - a^2*z^4 - 
   12*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 11634] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 5*a^2*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 11635] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 22*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (30*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - z^4/a^8 + (5*z^4)/a^6 - (20*z^4)/a^4 + 
   (35*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (21*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11636] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 - a^4*z^2 + 
   19*a^6*z^2 - 21*a^8*z^2 + 9*a^10*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   19*a^6*z^4 - 17*a^8*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 11637] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 5*a^4*z^2 + 
   a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 11638] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 
   4*z^2 + 14*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11639] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 11640] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   10*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11641] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 11642] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 24*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (22*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11643] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 6*z^2 - z^2/a^4 - 8*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 11644] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 11645] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 5*z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - z^4/a^4 + z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11646] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11647] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 3*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (12*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 11648] -> 
  -a^(-14) + 2/a^12 - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (3*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - z^4/a^14 + (11*z^4)/a^12 - 
   (8*z^4)/a^10 - (17*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11649] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 - a^(-6) + 2/a^4 - z^2/a^14 + 
   (6*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^4 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 11650] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11651] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 11652] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - 2*z^2 + 14*a^2*z^2 - 26*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 - 2*z^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 27*a^4*z^4 + 
   10*a^6*z^4 + z^6 - z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + z^8 + 3*a^2*z^8, 
 Knot[15, Alternating, 11653] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11654] -> 
  a^2 - a^4 + 5*a^6 - 7*a^8 + 4*a^10 - a^12 + 3*a^2*z^2 - 9*a^4*z^2 + 
   20*a^6*z^2 - 16*a^8*z^2 + 5*a^10*z^2 + z^4 + 2*a^2*z^4 - 15*a^4*z^4 + 
   22*a^6*z^4 - 10*a^8*z^4 + z^6 - 9*a^4*z^6 + 9*a^6*z^6 - a^2*z^8 - 
   3*a^4*z^8, Knot[15, Alternating, 11655] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (12*z^4)/a^8 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11656] -> 1 - a^(-10) + 3/a^8 - 5/a^6 + 5/a^4 - 
   2/a^2 + 2*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 11657] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 + (3*z^2)/a^4 - z^2/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 17*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   12*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11658] -> -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 
   12*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11659] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11660] -> 
  -3 + 2/a^2 - a^2 + 6*a^4 - 3*a^6 - 7*z^2 + (4*z^2)/a^2 - 6*a^2*z^2 + 
   14*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 8*a^2*z^4 + 14*a^4*z^4 - 
   3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 7*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 11661] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 + z^2/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11662] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   14*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11663] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11664] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 11665] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11666] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 21*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11667] -> -3 + a^(-2) + 8*a^2 - 9*a^4 + 
   5*a^6 - a^8 - 13*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 20*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11668] -> 
  2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 + 4*a^2*z^2 - 2*a^4*z^2 - 9*a^6*z^2 + 
   14*a^8*z^2 - 4*a^10*z^2 + 4*a^2*z^4 - 6*a^4*z^4 - 13*a^6*z^4 + 
   15*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 9*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 11669] -> a^(-4) - a^(-2) + 2*a^2 - 
   2*a^4 + a^6 - 4*z^2 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11670] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + (3*z^2)/a^10 - (11*z^2)/a^8 + 
   (22*z^2)/a^6 - (22*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (11*z^4)/a^8 + (22*z^4)/a^6 - (26*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 11671] -> 
  4 - 12*a^2 + 15*a^4 - 6*a^6 + 16*z^2 - 48*a^2*z^2 + 48*a^4*z^2 - 
   13*a^6*z^2 + 25*z^4 - 79*a^2*z^4 + 64*a^4*z^4 - 13*a^6*z^4 + 19*z^6 - 
   69*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 11672] -> a^(-2) - 5*a^2 + 9*a^4 - 4*a^6 - 3*z^2 + 
   (4*z^2)/a^2 - 15*a^2*z^2 + 22*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + (6*z^4)/a^2 - 
   18*a^2*z^4 + 21*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 12*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 11673] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + 
   a^6 - 22*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11674] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (11*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11675] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11676] -> 
  2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11677] -> 
  7*a^6 - 11*a^8 + 7*a^10 - 2*a^12 + a^2*z^2 - 5*a^4*z^2 + 24*a^6*z^2 - 
   25*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 
   29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 11678] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11679] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 
   9*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   15*a^2*z^4 - 25*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11680] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11681] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11682] -> 
  4*a^4 - 7*a^6 + 7*a^8 - 3*a^10 + 14*a^4*z^2 - 32*a^6*z^2 + 33*a^8*z^2 - 
   10*a^10*z^2 + 22*a^4*z^4 - 64*a^6*z^4 + 55*a^8*z^4 - 12*a^10*z^4 + 
   18*a^4*z^6 - 63*a^6*z^6 + 42*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 
   33*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 11683] -> a^2 + 2*a^4 - 6*a^6 + 7*a^8 - 
   3*a^10 + 3*a^2*z^2 + 2*a^4*z^2 - 14*a^6*z^2 + 18*a^8*z^2 - 5*a^10*z^2 + 
   5*a^2*z^4 - 6*a^4*z^4 - 16*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   9*a^4*z^6 - 11*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11684] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11685] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 14*z^2 - (4*z^2)/a^4 + 
   (17*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 11*z^4 - z^4/a^6 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + (10*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 11686] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11687] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 11688] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 
   8*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 9*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 2*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11689] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11690] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 6*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 16*a^4*z^4 - 
   a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 6*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11691] -> 
  a^2 + a^8 - a^10 + 5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 
   4*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 4*a^6*z^4 + 16*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11692] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11693] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11694] -> -7 - a^(-4) + 4/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11695] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11696] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + 
   (15*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11697] -> -9 + 4/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 
   25*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 29*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 - 
   25*z^4 - z^4/a^4 + (9*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11698] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 
   17*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 22*a^4*z^4 + 
   20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 11699] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 11700] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11701] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11702] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 11703] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11704] -> -1 + a^(-2) + a^2 - 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11705] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 7*z^2 + (6*z^2)/a^4 - (15*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + (9*z^4)/a^4 - (22*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11706] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + (9*z^4)/a^4 - 
   (17*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11707] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (15*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (16*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11708] -> -2/a^14 + 6/a^12 - 6/a^10 - a^(-8) + 4/a^6 - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (11*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - z^4/a^14 + (13*z^4)/a^12 - (12*z^4)/a^10 - (15*z^4)/a^8 + 
   (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11709] -> -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 11710] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 9*z^2 - z^2/a^6 + (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11711] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 5*a^2*z^2 - 7*a^4*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 - 4*a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11712] -> a^(-4) - a^(-2) + a^2 - z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 11713] -> -3 + a^(-2) + 4*a^2 - a^4 + 
   a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11714] -> 
  4 - 13*a^2 + 17*a^4 - 7*a^6 + 18*z^2 - 54*a^2*z^2 + 55*a^4*z^2 - 
   15*a^6*z^2 + 28*z^4 - 88*a^2*z^4 + 71*a^4*z^4 - 14*a^6*z^4 + 20*z^6 - 
   74*a^2*z^6 + 46*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 35*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 11715] -> -1 + a^(-2) - 3*a^2 + 8*a^4 - 4*a^6 - 
   9*z^2 + (6*z^2)/a^2 - 8*a^2*z^2 + 20*a^4*z^2 - 6*a^6*z^2 - 18*z^4 + 
   (9*z^4)/a^2 - 11*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   10*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11716] -> 
  -3 + 2/a^2 + 3*a^4 - a^8 - 8*z^2 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 9*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11717] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 5*z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11718] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - 
   16*a^2*z^2 + 17*a^4*z^2 - 5*a^6*z^2 + 12*z^4 - 37*a^2*z^4 + 33*a^4*z^4 - 
   8*a^6*z^4 + 13*z^6 - 43*a^2*z^6 + 31*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 11719] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 
   5*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + 7*a^2*z^4 - 
   14*a^4*z^4 - 5*a^6*z^4 + 14*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   12*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11720] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (10*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (13*z^4)/a^12 - (13*z^4)/a^10 - 
   (13*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11721] -> -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   15*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11722] -> 
  -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11723] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 14*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 17*z^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 + 
   6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 11724] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11725] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (22*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 23*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (24*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11726] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11727] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11728] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 6*z^2 - z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 + 9*z^4 - (4*z^4)/a^2 - 5*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 11729] -> 
  a^(-2) - a^2 + a^4 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11730] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11731] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11732] -> 
  -4 + 2/a^2 + 3*a^2 - a^4 + 3*a^6 - 2*a^8 - 12*z^2 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   14*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 11733] -> 3 + a^(-4) - 2/a^2 - 4*a^2 + 
   4*a^4 - a^8 + 6*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 11734] -> a^(-2) - 4*a^2 + 5*a^4 + a^6 - 2*a^8 - 
   5*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11735] -> 
  -4 + 2/a^2 + 2*a^2 + 2*a^4 - a^8 - 7*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 11736] -> 
  -3/a^14 + 10/a^12 - 12/a^10 + 3/a^8 + 3/a^6 - (7*z^2)/a^14 + 
   (30*z^2)/a^12 - (37*z^2)/a^10 + (10*z^2)/a^8 + (10*z^2)/a^6 - 
   (5*z^4)/a^14 + (36*z^4)/a^12 - (50*z^4)/a^10 + (6*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (37*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 11737] -> 
  -2/a^14 + 6/a^12 - 6/a^10 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (11*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (10*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11738] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (5*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11739] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (7*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 11740] -> -4 + 2/a^2 + 3*a^2 - a^4 + 3*a^6 - 2*a^8 - 
   12*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11741] -> 
  2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 7*a^2*z^2 - 16*a^4*z^2 + 14*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 + 9*a^2*z^4 - 23*a^4*z^4 + 8*a^6*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 3*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11742] -> 1 - 2*a^2 + 4*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   3*z^2 - 7*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11743] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + 
   (4*z^4)/a^4 - z^4/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11744] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11745] -> 
  2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + z^2 + 4*a^2*z^2 - 13*a^4*z^2 + 
   15*a^6*z^2 - a^8*z^2 - a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 18*a^4*z^4 + 
   12*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11746] -> 2*a^2 - a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (6*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11747] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11748] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 16*z^2 - 
   (4*z^2)/a^2 - 24*a^2*z^2 + 9*a^4*z^2 + 48*z^4 - (16*z^4)/a^2 - 
   49*a^2*z^4 + 12*a^4*z^4 + 56*z^6 - (17*z^6)/a^2 - 41*a^2*z^6 + 6*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 11749] -> 
  5 + a^(-4) - 2/a^2 - 6*a^2 + 3*a^4 + 11*z^2 - (4*z^2)/a^2 - 16*a^2*z^2 + 
   5*a^4*z^2 + 13*z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 - 18*a^2*z^4 + 4*a^4*z^4 + 
   10*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 11750] -> 3 - a^(-2) - a^2 + 23*z^2 + (4*z^2)/a^4 - 
   (17*z^2)/a^2 - 9*a^2*z^2 + 49*z^4 + (16*z^4)/a^4 - (48*z^4)/a^2 - 
   12*a^2*z^4 + 41*z^6 + (17*z^6)/a^4 - (56*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + 
   (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 11751] -> 7 + a^(-4) - 4/a^2 - 4*a^2 + 
   a^4 + 16*z^2 + (4*z^2)/a^4 - (15*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   11*z^4 + (8*z^4)/a^4 - (20*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11752] -> 
  -9 + a^(-6) - 4/a^4 + 8/a^2 + 7*a^2 - 2*a^4 - 28*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (25*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 30*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (30*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11753] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - 2*a^2 + 3*a^4 - a^6 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 11754] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11755] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 4*a^2*z^2 - 12*a^4*z^2 + 
   5*a^6*z^2 + 11*z^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 11756] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + 
   3*z^2 - (3*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^4 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11757] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 + z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 13*z^4 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 11758] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 
   6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 11759] -> 
  -9 + a^(-6) - 4/a^4 + 8/a^2 + 7*a^2 - 2*a^4 - 29*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (22*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (25*z^4)/a^2 + 20*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11760] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11761] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (8*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11762] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 4*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11763] -> 
  -2/a^10 + 6/a^8 - 4/a^6 - 3/a^4 + 4/a^2 - (6*z^2)/a^10 + (16*z^2)/a^8 - 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - (8*z^4)/a^10 + (19*z^4)/a^8 + 
   z^4/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11764] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11765] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11766] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11767] -> 2*a^2 - a^4 - z^2 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11768] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (5*z^4)/a^6 + (10*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11769] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11770] -> 
  -4 - 4/a^6 + 7/a^4 + 2*a^2 - 14*z^2 - (6*z^2)/a^6 + (18*z^2)/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11771] -> 3/a^12 - 8/a^10 + 2/a^8 + 6/a^6 - 2/a^4 + 
   (4*z^2)/a^12 - (18*z^2)/a^10 + (9*z^2)/a^8 + (19*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (17*z^4)/a^10 + (14*z^4)/a^8 + (24*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (9*z^6)/a^10 + (11*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11772] -> -2/a^8 + 2/a^6 + 3/a^4 - 3/a^2 + a^2 - 
   2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (11*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11773] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 3/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 - z^4/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11774] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11775] -> -1 + 2/a^8 - 4/a^6 + 4/a^2 - 4*z^2 + 
   (7*z^2)/a^8 - (13*z^2)/a^6 - (3*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   (9*z^4)/a^8 - (20*z^4)/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11776] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11777] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 13*z^2 - 
   (6*z^2)/a^6 + (13*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 18*z^4 - (9*z^4)/a^6 + 
   (19*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11778] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11779] -> -2 - 2/a^6 + 4/a^4 + a^4 - 6*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 11780] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11781] -> 
  4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 + 3*z^2 + (7*z^2)/a^4 - (16*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + (9*z^4)/a^4 - (20*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11782] -> 4 + a^(-6) - 2/a^4 - a^(-2) - a^4 + 7*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 11783] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + (2*z^2)/a^16 - (8*z^2)/a^14 - 
   (7*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (8*z^4)/a^14 + 
   (6*z^4)/a^12 + (23*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (10*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 11784] -> a^(-16) - 2/a^14 - a^(-10) + 
   2/a^8 + a^(-6) - (4*z^2)/a^14 + (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 - z^4/a^14 + (4*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 11785] -> -a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) - a^2 + a^4 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11786] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (11*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11787] -> -2 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - 7*z^2 - (2*z^2)/a^8 + z^2/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (11*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 11788] -> -1 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 
   a^4 - 4*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 11789] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11790] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (8*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11791] -> 
  2*a^2 - a^4 - z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11792] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + (5*z^2)/a^8 - (8*z^2)/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (14*z^4)/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11793] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11794] -> 
  -a^(-14) + 5/a^12 - 6/a^10 - a^(-8) + 3/a^6 + a^(-4) - z^2/a^14 + 
   (7*z^2)/a^12 - (8*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - (6*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11795] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (13*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11796] -> 
  2 - a^(-10) + a^(-8) + 4/a^6 - 6/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (5*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11797] -> 
  1 - a^(-10) + 2/a^8 - 2/a^2 + a^2 - z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   z^2/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 11798] -> 1 + a^(-8) - 2/a^6 - a^(-4) + 3/a^2 - a^2 + 
   3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11799] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (4*z^2)/a^10 - 
   z^2/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11800] -> -a^(-14) + a^(-12) + 3/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 - 
   (15*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (18*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 11801] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11802] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   7*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^4 + (14*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (17*z^4)/a^6 + (8*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11803] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 11804] -> -3 - 3/a^6 + 4/a^4 + 2/a^2 + a^2 - 13*z^2 - 
   (6*z^2)/a^6 + (15*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - 
   (4*z^4)/a^6 + (19*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11805] -> 
  -3 + a^(-8) - 5/a^6 + 3/a^4 + 5/a^2 - 9*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (9*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (13*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11806] -> 
  -1 - a^(-8) - a^(-6) + 5/a^4 - 2/a^2 + a^2 - 3*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 11807] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 3*z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + (11*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 11808] -> 
  -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 8*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11809] -> 
  7 - 3/a^2 - 2*a^2 - 2*a^4 + a^6 + 16*z^2 - (6*z^2)/a^2 - 4*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 + 17*z^4 - (6*z^4)/a^2 - a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 11810] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + z^4/a^8 + (16*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11811] -> 1 - 2/a^10 + 3/a^8 + 2/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 - 
   (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11812] -> -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (13*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11813] -> -a^(-8) + 2/a^4 - z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11814] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11815] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   z^2/a^10 - (2*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (11*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11816] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 11817] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 3*z^2 + z^2/a^2 + a^2*z^2 + 8*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 11818] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 11819] -> 
  5 - a^(-4) - 3*a^2 - a^4 + a^6 + 8*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11820] -> 
  a^(-16) - 6/a^12 + 4/a^10 + 2/a^8 + z^2/a^16 - (6*z^2)/a^14 - 
   (6*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (5*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 11821] -> -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 
   6/a^10 + a^(-8) + (6*z^2)/a^16 - (17*z^2)/a^14 - (5*z^2)/a^12 + 
   (22*z^2)/a^10 + (4*z^2)/a^8 - (15*z^4)/a^14 + (9*z^4)/a^12 + 
   (30*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (13*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 11822] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11823] -> 
  -4 + 2/a^8 - 8/a^6 + 5/a^4 + 6/a^2 - 11*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (14*z^2)/a^4 + (18*z^2)/a^2 - 11*z^4 + (2*z^4)/a^8 - (16*z^4)/a^6 + 
   (18*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11824] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   z^4/a^8 + (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11825] -> 
  1 - 2/a^10 + 3/a^8 + 2/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 11826] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + (3*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (12*z^4)/a^10 + (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 11827] -> 
  -1 - a^(-8) + 2/a^6 + a^4 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 11828] -> 
  10 - 4/a^2 - 4*a^2 - 3*a^4 + 2*a^6 + 20*z^2 - (7*z^2)/a^2 - 7*a^2*z^2 - 
   10*a^4*z^2 + 5*a^6*z^2 + 18*z^4 - (6*z^4)/a^2 - 2*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 11829] -> 3 - 2/a^4 + 3/a^2 - 4*a^2 + a^6 + 5*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11830] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + 
   (6*z^2)/a^4 - (14*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11831] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + 2*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11832] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + (6*z^2)/a^4 - (14*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + (7*z^4)/a^4 - (18*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11833] -> -a^(-14) + a^(-12) + 2/a^10 - 3/a^8 + 
   a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (7*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 11834] -> 
  a^(-12) - a^(-10) - 5/a^8 + 6/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (6*z^2)/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + z^4/a^8 + (21*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11835] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11836] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11837] -> -3 - 2/a^6 + 5/a^4 - a^(-2) + a^2 + a^4 - 
   8*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   6*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 11838] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11839] -> 
  -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - (5*z^2)/a^10 + (13*z^2)/a^8 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - (6*z^4)/a^6 - 
   (19*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 11840] -> 
  -a^(-12) + 4/a^8 - 4/a^6 + 2/a^2 - (2*z^2)/a^12 + (4*z^2)/a^10 + 
   (8*z^2)/a^8 - (10*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (6*z^4)/a^10 + (3*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 11841] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11842] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + 
   (3*z^2)/a^12 + (4*z^2)/a^10 - (14*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - (18*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 11843] -> -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 + 2*z^2 - 
   8*a^2*z^2 + 9*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + 7*z^4 - 14*a^2*z^4 + 
   3*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 6*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 11844] -> 
  -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 11845] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 
   z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 11846] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - z^2 + z^2/a^2 - 4*a^2*z^2 + 10*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 11847] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 2*z^2 + z^2/a^2 + a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 11848] -> 6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 10*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11849] -> 
  -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 8*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11850] -> 
  7 - 3/a^2 - 2*a^2 - 2*a^4 + a^6 + 16*z^2 - (6*z^2)/a^2 - 4*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 + 17*z^4 - (6*z^4)/a^2 - a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 11851] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - 
   (4*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11852] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + 
   (3*z^2)/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 11853] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 
   2/a^4 + 2*z^2 - (4*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - z^4/a^10 - z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 11854] -> -2 + 4*a^2 - a^8 - 2*z^2 + 
   4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 11855] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11856] -> 8 + 2/a^4 - 8/a^2 + 2*a^2 - 3*a^4 + 13*z^2 + 
   (5*z^2)/a^4 - (17*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + 
   (6*z^4)/a^4 - (16*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11857] -> 
  5 + a^(-6) - 3/a^4 - a^2 - a^4 + 9*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11858] -> 
  -3 - 2/a^6 + 5/a^4 - a^(-2) + a^2 + a^4 - 8*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11859] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 11860] -> 2 - a^(-4) + a^(-2) - a^2 + 
   3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11861] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11862] -> 2 - a^(-10) + a^(-8) + 4/a^6 - 6/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11863] -> 1 - 4/a^8 + 7/a^6 - 2/a^4 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^10 - z^2/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (4*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11864] -> 
  1 - 2/a^10 + 2/a^8 + 2/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 11865] -> 
  6 - a^(-4) - 2/a^2 + a^2 - 4*a^4 + a^6 + 14*z^2 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 15*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 
   5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 11866] -> 6 + 3/a^4 - 9/a^2 + 5*a^2 - 4*a^4 + 8*z^2 + 
   (9*z^2)/a^4 - (23*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 - z^4 + (10*z^4)/a^4 - 
   (25*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11867] -> 
  6 + a^(-6) - a^(-4) - 4/a^2 + a^2 - 2*a^4 + 10*z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11868] -> 4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 + 7*z^2 + 
   (7*z^2)/a^4 - (18*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + z^4 + (7*z^4)/a^4 - 
   (19*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11869] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   z^2/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11870] -> -5 - 4/a^6 + 8/a^4 - a^(-2) + 3*a^2 - 
   16*z^2 - (5*z^2)/a^6 + (19*z^2)/a^4 - (6*z^2)/a^2 + 9*a^2*z^2 - 22*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11871] -> 
  -4 + 2/a^8 - 8/a^6 + 5/a^4 + 6/a^2 - 11*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (14*z^2)/a^4 + (18*z^2)/a^2 - 11*z^4 + (2*z^4)/a^8 - (16*z^4)/a^6 + 
   (18*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11872] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - (4*z^2)/a^10 + (8*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11873] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (5*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11874] -> 1 - a^(-12) + a^(-10) + a^(-6) - a^(-4) + 
   2*z^2 - z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 11875] -> 
  9 - a^(-4) - 3/a^2 - 2*a^2 - 3*a^4 + a^6 + 18*z^2 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 20*z^4 - (3*z^4)/a^4 + 
   6*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 12*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 11876] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 + (4*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11877] -> -6 + 2/a^2 + 6*a^2 + a^4 - 2*a^6 - 14*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 11878] -> a^(-4) - 2/a^2 + 3*a^2 - a^6 - 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^6 - (5*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 11879] -> 
  -2 + 4*a^2 - a^8 - 2*z^2 + 4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   z^4/a^2 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 11880] -> 4 - 2/a^2 - a^4 + 9*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11881] -> -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 5*z^2 + 
   (6*z^2)/a^8 - (18*z^2)/a^6 + (10*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (17*z^4)/a^6 + (3*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11882] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11883] -> 10 - 4/a^2 - 4*a^2 - 3*a^4 + 2*a^6 + 
   20*z^2 - (7*z^2)/a^2 - 7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 18*z^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 
   4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 11884] -> 
  3 - 2/a^4 + 3/a^2 - 4*a^2 + a^6 + 5*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   8*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 11885] -> 
  1 - 2/a^10 + 2/a^8 + 3/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (8*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 3*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11886] -> 1 - a^(-12) + 3/a^8 - a^(-6) - 2/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 11887] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11888] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 
   z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 11889] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 11890] -> 
  1 + a^(-8) - 2/a^6 - a^(-4) + 3/a^2 - a^2 + 3*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11891] -> 4 - 2/a^2 - a^4 + 7*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11892] -> 5 - a^(-4) - 3*a^2 - a^4 + a^6 + 8*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11893] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 5*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + z^4/a^8 - 
   (9*z^4)/a^6 + (11*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11894] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11895] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 11896] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11897] -> 4 - 2/a^2 - a^4 + 9*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11898] -> -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 5*z^2 + 
   (6*z^2)/a^8 - (18*z^2)/a^6 + (10*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (17*z^4)/a^6 + (3*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 11899] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11900] -> 
  4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 + 7*z^2 + (7*z^2)/a^4 - (18*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + z^4 + (7*z^4)/a^4 - (19*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11901] -> 2/a^8 - 5/a^6 + a^(-4) + 4/a^2 - a^2 + 
   2*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 11902] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11903] -> 1 - 4/a^8 + 7/a^6 - 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^10 - (3*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^10 + (10*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11904] -> 11 - 6/a^2 - 6*a^4 + 2*a^6 + 27*z^2 - 
   (13*z^2)/a^2 + 4*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 29*z^4 - 
   (11*z^4)/a^2 + 10*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 17*z^6 - 
   (5*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 11905] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 5/a^12 + 6/a^10 + a^(-8) + (6*z^2)/a^16 - 
   (17*z^2)/a^14 - (5*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 - 
   (15*z^4)/a^14 + (9*z^4)/a^12 + (30*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   (2*z^6)/a^14 + (13*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 11906] -> 
  7 - 2/a^4 - 3*a^2 - 2*a^4 + a^6 + 14*z^2 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 13*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11907] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 - (4*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11908] -> 8 + 2/a^4 - 8/a^2 + 2*a^2 - 3*a^4 + 13*z^2 + 
   (5*z^2)/a^4 - (17*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + 
   (6*z^4)/a^4 - (16*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 11909] -> 
  5 + a^(-6) - 3/a^4 - a^2 - a^4 + 9*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 11910] -> 
  -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (13*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 11911] -> 
  6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 10*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11912] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11913] -> 4 - 2/a^2 - a^4 + 7*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 11914] -> 1 + a^(-8) - 2/a^6 - a^(-4) + 3/a^2 - a^2 + 
   3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 11915] -> 
  6 + 3/a^4 - 9/a^2 + 5*a^2 - 4*a^4 + 8*z^2 + (9*z^2)/a^4 - (23*z^2)/a^2 + 
   18*a^2*z^2 - 8*a^4*z^2 - z^4 + (10*z^4)/a^4 - (25*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 11916] -> 6 + a^(-6) - a^(-4) - 4/a^2 + a^2 - 2*a^4 + 
   10*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (9*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   5*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 11917] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 5*z^2 + 18*a^2*z^2 - 15*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 16*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11918] -> 3 - a^(-2) + a^2 - 5*a^4 + 4*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11919] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 + a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11920] -> 
  -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 18*z^2 + (3*z^2)/a^2 + 31*a^2*z^2 - 
   14*a^4*z^2 + a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 6*a^4*z^4 - 
   2*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 11921] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   26*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 + a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 11922] -> 
  -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 7*a^4*z^2 + 15*a^6*z^2 + 
   18*a^8*z^2 - 23*a^10*z^2 + 5*a^12*z^2 - 9*a^4*z^4 + 14*a^6*z^4 + 
   39*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   33*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 11923] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   25*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   30*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11924] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + z^2/a^4 + (19*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (8*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11925] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   6*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + (12*z^2)/a^4 + (9*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (18*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11926] -> -1 + 4*a^2 - 4*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   3*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11927] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 9*z^2 + z^2/a^2 + 24*a^2*z^2 - 
   24*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 31*a^2*z^4 - 
   27*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11928] -> -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 
   a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 + 12*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 14*a^6*z^4 + 19*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 11929] -> 
  2/a^6 - 9/a^4 + 10/a^2 - 2*a^2 + 6*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (23*z^2)/a^2 - 7*a^2*z^2 + 15*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (25*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 11930] -> 
  2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11931] -> -6 + a^(-2) + 12*a^2 - 7*a^4 + a^6 - 
   18*z^2 + (3*z^2)/a^2 + 31*a^2*z^2 - 14*a^4*z^2 + a^6*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 30*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   15*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 11932] -> 
  -a^2 + 3*a^4 - 2*a^6 + 6*a^8 - 7*a^10 + 2*a^12 - 3*a^2*z^2 + 7*a^4*z^2 - 
   2*a^6*z^2 + 18*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 11933] -> -6 + a^(-6) - 5/a^4 + 8/a^2 + 
   5*a^2 - 2*a^4 - 20*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 26*z^4 + z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11934] -> 3/a^8 - 14/a^6 + 18/a^4 - 6/a^2 + 
   (11*z^2)/a^8 - (51*z^2)/a^6 + (71*z^2)/a^4 - (25*z^2)/a^2 + (13*z^4)/a^8 - 
   (74*z^4)/a^6 + (113*z^4)/a^4 - (37*z^4)/a^2 + (6*z^6)/a^8 - (50*z^6)/a^6 + 
   (93*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 11935] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (20*z^2)/a^6 + (16*z^2)/a^4 + (13*z^2)/a^2 - 12*z^4 + 
   (4*z^4)/a^8 - (22*z^4)/a^6 + (18*z^4)/a^4 + (24*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (14*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11936] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   6*z^2 + (6*z^2)/a^8 - (25*z^2)/a^6 + (27*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (28*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11937] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (17*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 - z^4/a^4 + (17*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 11938] -> 
  -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (24*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11939] -> 
  -1 + 4*a^2 - 4*a^4 + 5*a^6 - 4*a^8 + a^10 - 3*z^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 11940] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 
   4/a^2 - 6*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + (12*z^2)/a^4 + (9*z^2)/a^2 - 
   7*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + (18*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 11941] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 10*z^2 + 
   z^2/a^2 + 25*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 11942] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 31*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (27*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (33*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11943] -> 
  -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 3*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 11944] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 3*z^2 - z^2/a^2 + 18*a^2*z^2 - 
   24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 22*a^2*z^4 - 
   25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11945] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   15*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11946] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 3*z^2 - z^2/a^2 + 18*a^2*z^2 - 
   24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 22*a^2*z^4 - 
   25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 11947] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11948] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 4*z^2 - 
   z^2/a^2 + 18*a^2*z^2 - 20*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 17*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 11949] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 + 3*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 17*a^6*z^4 + 7*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 11950] -> 
  -2*a^4 + 8*a^6 - 4*a^8 - 2*a^10 + a^12 - 8*a^4*z^2 + 26*a^6*z^2 - 
   6*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 8*a^4*z^4 + 29*a^6*z^4 - 
   8*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 16*a^6*z^6 + 4*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 11951] -> -8 + a^(-6) - 6/a^4 + 11/a^2 + 4*a^2 - a^4 - 
   24*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 + (2*z^4)/a^6 - (17*z^4)/a^4 + (37*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (21*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11952] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 20*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   13*z^4 + (3*z^4)/a^4 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 11953] -> -2 - 3/a^4 + 6/a^2 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11954] -> 2*a^2 - 6*a^4 + 12*a^6 - 9*a^8 + 2*a^10 - 
   2*z^2 + 10*a^2*z^2 - 22*a^4*z^2 + 33*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 14*a^2*z^4 - 28*a^4*z^4 + 33*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 16*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 11955] -> 
  1 - 2*a^2 + 2*a^4 + 3*a^6 - 4*a^8 + a^10 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 11956] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 15*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - z^4/a^4 + (7*z^4)/a^2 + 26*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 11957] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 11958] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 17*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 + 4*a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 - 7*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 11959] -> -2*a^6 + 12*a^8 - 12*a^10 + 3*a^12 - 
   2*a^4*z^2 - 4*a^6*z^2 + 43*a^8*z^2 - 35*a^10*z^2 + 7*a^12*z^2 - 
   7*a^4*z^4 + a^6*z^4 + 57*a^8*z^4 - 38*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   7*a^6*z^6 + 39*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 11960] -> 7*a^8 - 8*a^10 + 2*a^12 - a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 + 18*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 + 17*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 11961] -> -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 
   2*a^12 - 5*a^4*z^2 + 15*a^6*z^2 + 9*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 19*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 11962] -> 
  -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - a^2*z^2 + a^4*z^2 + 10*a^6*z^2 + 
   a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 + 
   2*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 11963] -> -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 11964] -> -8 + a^(-6) - 6/a^4 + 11/a^2 + 4*a^2 - a^4 - 
   24*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (32*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 + (2*z^4)/a^6 - (17*z^4)/a^4 + (37*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (21*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 11965] -> -2*a^4 + 8*a^6 - 4*a^8 - 2*a^10 + a^12 - 
   8*a^4*z^2 + 26*a^6*z^2 - 6*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   8*a^4*z^4 + 29*a^6*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   16*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 11966] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 11967] -> 
  5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 - 9*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 11968] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 13*z^2 + 
   z^2/a^4 - (9*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 11969] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   27*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 31*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (21*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11970] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11971] -> 1 - 3*a^2 + 7*a^4 - 5*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11972] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 22*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11973] -> -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 5*z^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   9*a^4*z^4 - 16*a^6*z^4 + 8*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11974] -> 
  a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   (2*z^2)/a^8 + (21*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (14*z^4)/a^10 + 
   (10*z^4)/a^8 + (25*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + 
   (10*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11975] -> -7 - a^(-4) + 4/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 29*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11976] -> 
  -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (23*z^2)/a^6 - (24*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (25*z^4)/a^6 - (31*z^4)/a^4 + (17*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11977] -> -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 
   9*a^2*z^2 + 8*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   2*a^4*z^4 - 21*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 11978] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 7*a^2*z^4 - 11*a^4*z^4 - 
   4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 11979] -> 
  2/a^12 - 8/a^10 + 6/a^8 + 2/a^6 - a^(-4) + (3*z^2)/a^12 - (17*z^2)/a^10 + 
   (16*z^2)/a^8 + (12*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (16*z^4)/a^10 + 
   (17*z^4)/a^8 + (20*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + 
   (11*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 11980] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   z^2/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + (15*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11981] -> 
  -6 - a^(-4) + 4/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 19*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 27*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 11982] -> 
  -1 + a^(-10) - 6/a^8 + 9/a^6 - 6/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (25*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - (28*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 11983] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 
   18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 9*a^2*z^2 + 25*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 11984] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 11985] -> 3 - a^(-2) - 2*a^2 + 3*a^4 - 3*a^6 + a^8 + 
   6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 6*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 11986] -> -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 
   5/a^2 - 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (24*z^2)/a^4 + 
   (17*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (32*z^4)/a^4 + 
   (24*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11987] -> 
  a^(-12) - 4/a^10 + 3/a^8 - a^(-6) + 3/a^4 - a^(-2) + z^2/a^12 - 
   (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 11988] -> 
  -7 - a^(-4) + 4/a^2 + 9*a^2 - 5*a^4 + a^6 - 24*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 32*z^4 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 11989] -> 
  -3 - a^(-8) + 5/a^6 - 9/a^4 + 8/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (24*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11990] -> 
  -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 23*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (28*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 30*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (29*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 11991] -> 
  -9 - 3/a^4 + 9/a^2 + 5*a^2 - a^4 - 27*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (22*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 32*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (24*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 11992] -> -6 + a^(-6) - 7/a^4 + 12/a^2 + a^2 - 
   17*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + (32*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (22*z^4)/a^4 + (35*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 11993] -> 
  8 - 2/a^2 - 8*a^2 + 3*a^4 + 23*z^2 - (4*z^2)/a^2 - 33*a^2*z^2 + 
   13*a^4*z^2 + 40*z^4 - (7*z^4)/a^2 - 64*a^2*z^4 + 22*a^4*z^4 + 35*z^6 - 
   (5*z^6)/a^2 - 63*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 11994] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 14*a^2*z^2 + 7*a^4*z^2 - z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 11995] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + (3*z^2)/a^8 - (21*z^2)/a^6 + 
   (36*z^2)/a^4 - (13*z^2)/a^2 + (7*z^4)/a^8 - (39*z^4)/a^6 + (65*z^4)/a^4 - 
   (22*z^4)/a^2 + (5*z^6)/a^8 - (35*z^6)/a^6 + (63*z^6)/a^4 - (18*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (33*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 11996] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (12*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (17*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 11997] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   13*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 11998] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + z^2/a^10 - (9*z^2)/a^8 + 
   (12*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 11999] -> -9 - 2/a^4 + 8/a^2 + 5*a^2 - 2*a^4 + a^6 - 
   26*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 25*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12000] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (18*z^2)/a^6 - (25*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (22*z^4)/a^6 - (30*z^4)/a^4 + (20*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12001] -> 
  -8 - 2/a^4 + 8/a^2 + 2*a^2 + a^4 - 21*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 
   4*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 12002] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12003] -> 
  -14 - 2/a^4 + 9/a^2 + 13*a^2 - 7*a^4 + 2*a^6 - 33*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 31*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 31*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 32*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12004] -> 
  -2 + a^(-10) - 7/a^8 + 14/a^6 - 14/a^4 + 9/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (13*z^2)/a^8 + (32*z^2)/a^6 - (34*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (29*z^4)/a^6 - (35*z^4)/a^4 + (21*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12005] -> -4 - a^(-6) + 3/a^4 + 4*a^2 - 2*a^4 + a^6 - 
   7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 12006] -> 3 - 2/a^8 + 5/a^6 - 4/a^4 - a^2 + 6*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12007] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 12008] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 12009] -> 2 + a^2 - 7*a^4 + 8*a^6 - 4*a^8 + 
   a^10 + 4*z^2 - (2*z^2)/a^2 + a^2*z^2 - 16*a^4*z^2 + 17*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 14*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 12010] -> 
  1 + a^(-2) - 2*a^2 - a^4 + 4*a^6 - 3*a^8 + a^10 - z^2/a^4 + z^2/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[15, Alternating, 12011] -> -6 + 3/a^6 - 9/a^4 + 11/a^2 + 2*a^2 - 
   15*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (28*z^2)/a^4 + (28*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (32*z^4)/a^4 + 
   (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12012] -> 2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12013] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 19*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12014] -> 
  1 - 3/a^8 + 6/a^6 - 3/a^4 + z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (18*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12015] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 11*z^2 + (2*z^2)/a^2 + 27*a^2*z^2 - 
   29*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 
   30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12016] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 6*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 12017] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12018] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12019] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12020] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 19*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12021] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   20*z^2 + z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12022] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 8*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 7*z^4 - (2*z^4)/a^8 - z^4/a^6 + (9*z^4)/a^4 + 
   a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 12023] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[15, Alternating, 12024] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 3*z^2 - 5*a^2*z^2 + 3*a^4*z^2 - 4*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12025] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (25*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (31*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (18*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12026] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12027] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 12028] -> 
  2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 
   8*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12029] -> 
  2 + a^(-4) - 2/a^2 - 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12030] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12031] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12032] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (9*z^2)/a^4 - z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 12033] -> 2 + a^2 - 6*a^4 + 6*a^6 - 
   3*a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 12034] -> 
  1 + a^(-2) - 2*a^2 + 2*a^6 - 2*a^8 + a^10 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 12035] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   11*z^2 + (2*z^2)/a^2 + 26*a^2*z^2 - 26*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12036] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12037] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12038] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 17*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12039] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12040] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 9*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12041] -> 
  2 + a^(-4) - 2/a^2 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12042] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12043] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12044] -> 
  2 + a^2 - 6*a^4 + 6*a^6 - 3*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   11*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 12045] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12046] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 11*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12047] -> 
  1 - a^2 + 2*a^4 - a^6 - 5*z^2 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 16*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12048] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12049] -> 
  2 - 2*a^2 + a^4 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12050] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 12051] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12052] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12053] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 14*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 
   20*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 
   24*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12054] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   14*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (8*z^4)/a^6 + (15*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12055] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 - z^2 + 
   11*a^2*z^2 - 23*a^4*z^2 + 24*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 5*z^4 + 
   20*a^2*z^4 - 34*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 16*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12056] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   z^2/a^8 + z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12057] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12058] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 16*z^2 + 
   (7*z^2)/a^2 + 4*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - 21*z^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 12059] -> -6 + a^(-6) - 2/a^4 + 4/a^2 + 
   5*a^2 - a^4 - 23*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (27*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12060] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (7*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12061] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 12062] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12063] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   8*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12064] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 28*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 26*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12065] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 9*z^2 - 
   (7*z^2)/a^6 + (16*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (9*z^4)/a^6 + (21*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12066] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   11*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 12067] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 2*z^2 + 12*a^2*z^2 - 20*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 21*a^4*z^4 + 6*a^6*z^4 + 
   a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 6*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 12068] -> -6 - a^(-4) + 5/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   21*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 24*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12069] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 12070] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (2*z^6)/a^8 + 
   (2*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12071] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12072] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12073] -> a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + 4*a^2*z^2 - 12*a^4*z^2 + 25*a^6*z^2 - 19*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 6*a^2*z^4 - 23*a^4*z^4 + 32*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 17*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12074] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 12*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (10*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12075] -> -a^(-14) + 3/a^12 - 5/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (16*z^2)/a^12 - (20*z^2)/a^10 + (7*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^4)/a^14 + (27*z^4)/a^12 - (35*z^4)/a^10 + (3*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (31*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 12076] -> 
  4 - 11*a^2 + 13*a^4 - 5*a^6 + 18*z^2 - 55*a^2*z^2 + 55*a^4*z^2 - 
   16*a^6*z^2 + 32*z^4 - 99*a^2*z^4 + 82*a^4*z^4 - 17*a^6*z^4 + 24*z^6 - 
   87*a^2*z^6 + 55*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 41*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 12077] -> 1 + a^(-2) - 7*a^2 + 10*a^4 - 4*a^6 - 
   2*z^2 + (4*z^2)/a^2 - 20*a^2*z^2 + 27*a^4*z^2 - 8*a^6*z^2 - 11*z^4 + 
   (8*z^4)/a^2 - 22*a^2*z^4 + 27*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 12078] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 12*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (22*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (29*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12079] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 11*z^2 + (6*z^2)/a^2 - 5*a^2*z^2 + 
   18*a^4*z^2 - 7*a^6*z^2 - 21*z^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 24*a^4*z^4 - 
   5*a^6*z^4 - 18*z^6 + (6*z^6)/a^2 - 12*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 12080] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 13*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^4 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 12081] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 22*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   28*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12082] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 25*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (21*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 28*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (30*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12083] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 12084] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (6*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12085] -> 
  4 - 9*a^2 + 8*a^4 - a^6 - a^8 + 12*z^2 - 30*a^2*z^2 + 17*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + 13*z^4 - 35*a^2*z^4 + 6*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 + 6*z^6 - 21*a^2*z^6 - 6*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 12086] -> 1 + a^(-2) - 5*a^2 + 5*a^4 - a^8 - 2*z^2 + 
   (3*z^2)/a^2 - 10*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12087] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12088] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 5*z^2 + 
   (4*z^2)/a^2 - 8*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (4*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12089] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 + 
   z^2/a^4 + z^2/a^2 - a^2*z^2 + 5*a^4*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - 
   3*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 12090] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 12*a^2*z^2 - 23*a^4*z^2 + 20*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 15*a^2*z^4 - 30*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12091] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 8*z^2 + 24*a^2*z^2 - 24*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 32*a^2*z^4 - 27*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12092] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   22*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (30*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12093] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   15*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 24*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12094] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   19*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 31*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   24*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12095] -> -a^(-14) + 3/a^12 - 5/a^10 + 2/a^8 + 2/a^6 - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12096] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 + 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 12097] -> -2 + 2/a^2 - 3*a^2 + 7*a^4 - 
   3*a^6 - 7*z^2 + (5*z^2)/a^2 - 11*a^2*z^2 + 18*a^4*z^2 - 5*a^6*z^2 - 
   11*z^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 12098] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - z^2 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (22*z^2)/a^6 - (21*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (24*z^4)/a^6 - (31*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12099] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 
   z^4 - z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12100] -> -a^(-14) + 2/a^12 - a^(-10) - 
   3/a^8 + 4/a^6 - z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12101] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12102] -> -2 + 2/a^2 - a^2 + 2*a^4 + a^6 - 
   a^8 - 4*z^2 + (3*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12103] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12104] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12105] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 
   z^2 + z^2/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 12106] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 12*z^4 + 
   (8*z^4)/a^4 - (13*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12107] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + (2*z^2)/a^6 - (3*z^2)/a^4 + 6*a^2*z^2 - 
   3*a^4*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 12108] -> 
  -2 + 2/a^2 - 3*a^2 + 7*a^4 - 3*a^6 - 7*z^2 + (5*z^2)/a^2 - 11*a^2*z^2 + 
   18*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 19*a^4*z^4 - 
   4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 12109] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^4 + 13*a^2*z^2 - 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 12110] -> 2*a^2 - a^4 + z^2/a^6 - (3*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 12111] -> -2 + 2/a^2 - a^2 + 2*a^4 + a^6 - a^8 - 
   4*z^2 + (3*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12112] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (6*z^4)/a^6 - (21*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12113] -> -a^(-14) + 4/a^12 - 8/a^10 + 6/a^8 - 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (13*z^2)/a^12 - (18*z^2)/a^10 + 
   (11*z^2)/a^8 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 + 
   z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 12114] -> -4 + a^(-6) - 4/a^4 + 6/a^2 + 
   3*a^2 - a^4 - 18*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (25*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12115] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12116] -> -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12117] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 6*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12118] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12119] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 12*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   (10*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12120] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (27*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12121] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 12122] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 21*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12123] -> 2*a^2 - 5*a^4 + 10*a^6 - 9*a^8 + 
   4*a^10 - a^12 + 7*a^2*z^2 - 21*a^4*z^2 + 34*a^6*z^2 - 24*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 29*a^4*z^4 + 37*a^6*z^4 - 21*a^8*z^4 + 
   4*a^10*z^4 + 4*a^2*z^6 - 18*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12124] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 12125] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 
   z^2 + 12*a^2*z^2 - 25*a^4*z^2 + 21*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 14*a^2*z^4 - 32*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12126] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 12127] -> -7 + 2/a^6 - 7/a^4 + 10/a^2 + 
   4*a^2 - a^4 - 25*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + (30*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (33*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12128] -> -a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 + 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 12129] -> -6 + 2/a^6 - 6/a^4 + 8/a^2 + 
   4*a^2 - a^4 - 7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 12130] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   2/a^6 - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12131] -> -9 - a^(-4) + 6/a^2 + 8*a^2 - 5*a^4 + 
   2*a^6 - 30*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 - 32*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 29*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12132] -> 2*a^2 - 5*a^4 + 10*a^6 - 9*a^8 + 4*a^10 - 
   a^12 + 7*a^2*z^2 - 21*a^4*z^2 + 34*a^6*z^2 - 24*a^8*z^2 + 9*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 29*a^4*z^4 + 37*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12133] -> 
  -7 + 2/a^6 - 7/a^4 + 10/a^2 + 4*a^2 - a^4 - 25*z^2 + (5*z^2)/a^6 - 
   (20*z^2)/a^4 + (30*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (33*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12134] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12135] -> 5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 
   5*z^2 + 21*a^2*z^2 - 34*a^4*z^2 + 26*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 28*a^2*z^4 - 38*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12136] -> -6 + 2/a^6 - 6/a^4 + 8/a^2 + 
   4*a^2 - a^4 - 7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 12137] -> -1 + 2/a^2 - 2*a^2 + 3*a^4 - 
   2*a^6 + a^8 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 12138] -> 
  6*a^6 - 10*a^8 + 9*a^10 - 5*a^12 + a^14 - 2*a^4*z^2 + 23*a^6*z^2 - 
   33*a^8*z^2 + 27*a^10*z^2 - 10*a^12*z^2 + a^14*z^2 - 5*a^4*z^4 + 
   28*a^6*z^4 - 38*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 4*a^4*z^6 + 
   17*a^6*z^6 - 20*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 12139] -> -11 - 2/a^4 + 8/a^2 + 8*a^2 - 
   2*a^4 - 34*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 26*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 37*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 28*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12140] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (6*z^4)/a^6 - (21*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12141] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 12142] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12143] -> -4 + 3/a^2 + 2*a^2 - a^6 + a^8 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 
   3*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 12144] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 12145] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12146] -> 
  -9 - a^(-4) + 6/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 30*z^2 - (5*z^2)/a^4 + 
   (18*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 32*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12147] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 34*z^2 - (4*z^2)/a^4 + (20*z^2)/a^2 + 
   26*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 37*z^4 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 + 28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12148] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12149] -> 1 - a^2 + 2*a^4 - a^6 + z^2/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 12150] -> 
  1 + 2*z^2 - z^2/a^4 - a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12151] -> -2 - a^(-4) + 3/a^2 + a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 12152] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 7*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 6*z^4 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 12153] -> 
  -1 - a^(-6) + 2/a^4 + a^2 + z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 + z^4/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12154] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 - z^2/a^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12155] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   6*z^2 + z^2/a^4 - z^2/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 12156] -> -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   13*z^2 + (5*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12157] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12158] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 17*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12159] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 
   4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12160] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   12*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 13*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 12161] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 9*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12162] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   6*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12163] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12164] -> 
  4 - 10*a^2 + 11*a^4 - 4*a^6 + 16*z^2 - 47*a^2*z^2 + 44*a^4*z^2 - 
   12*a^6*z^2 + 25*z^4 - 79*a^2*z^4 + 63*a^4*z^4 - 13*a^6*z^4 + 19*z^6 - 
   69*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 12165] -> 1 + a^(-2) - 6*a^2 + 8*a^4 - 3*a^6 - 3*z^2 + 
   (4*z^2)/a^2 - 16*a^2*z^2 + 21*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + (6*z^4)/a^2 - 
   18*a^2*z^4 + 21*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 12*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 12166] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12167] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   15*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   16*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (24*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12168] -> 
  1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 - 3*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 
   6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + a^2*z^4 - 
   7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12169] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   17*z^2 + z^2/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 + z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12170] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 
   18*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 18*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 
   24*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12171] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   24*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   32*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   20*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12172] -> 
  3 - 3/a^6 + 8/a^4 - 7/a^2 + 10*z^2 - (13*z^2)/a^6 + (39*z^2)/a^4 - 
   (35*z^2)/a^2 + 12*z^4 - (22*z^4)/a^6 + (69*z^4)/a^4 - (56*z^4)/a^2 + 
   6*z^6 - (18*z^6)/a^6 + (64*z^6)/a^4 - (42*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 12173] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 
   6*z^2 - (7*z^2)/a^6 + (17*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (9*z^4)/a^6 + (23*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12174] -> -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 7*z^2 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   8*a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 7*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 12175] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12176] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (15*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12177] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 12178] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 7*z^2 + (3*z^2)/a^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12179] -> 
  2 + a^(-4) - a^(-2) - 4*a^2 + 4*a^4 - a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   8*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12180] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12181] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 12*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + 
   (20*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12182] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12183] -> -7 + 3/a^2 + 8*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   20*z^2 + (6*z^2)/a^2 + 24*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   21*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12184] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12185] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12186] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12187] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 12188] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12189] -> -2 + a^(-6) - 2/a^4 + 2/a^2 + 3*a^2 - a^4 - 
   8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12190] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 + 
   z^2/a^4 - 2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12191] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12192] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 9*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (8*z^4)/a^4 - (15*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12193] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + 
   z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 12194] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (12*z^4)/a^8 - 
   z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12195] -> -a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 7/a^4 + 
   4/a^2 + z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (18*z^2)/a^6 - (16*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (9*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12196] -> 
  -5 + 2/a^2 + 9*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 14*z^2 + (3*z^2)/a^2 + 
   26*a^2*z^2 - 29*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (2*z^4)/a^2 + 
   32*a^2*z^4 - 31*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12197] -> 1 + a^4 - 2*a^6 + a^8 + 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 12198] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 
   3*a^2*z^2 - 8*a^4*z^2 + 24*a^6*z^2 - 22*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   5*a^2*z^4 - 21*a^4*z^4 + 32*a^6*z^4 - 22*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 16*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12199] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + a^4*z^2 + 6*a^6*z^2 - 
   6*a^8*z^2 + 4*a^10*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12200] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (29*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12201] -> 2*a^2 - 5*a^4 + 10*a^6 - 9*a^8 + 4*a^10 - 
   a^12 + z^2 + 3*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 15*a^8*z^2 + 
   5*a^10*z^2 + z^4 - a^2*z^4 - 12*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 5*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 12202] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   15*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12203] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 7*z^2 - 
   (6*z^2)/a^4 + (15*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + z^4 - (8*z^4)/a^4 + 
   (19*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 7*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 12204] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   6*a^2*z^2 + a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 12205] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (12*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12206] -> -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 - 9*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 22*a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12207] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 2*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (13*z^2)/a^2 + a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - 
   (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 12208] -> -2 + 2/a^2 + a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12209] -> 
  -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   26*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12210] -> 2*a^2 - 5*a^4 + 10*a^6 - 9*a^8 + 
   4*a^10 - a^12 + 2*z^2 + a^2*z^2 - 12*a^4*z^2 + 24*a^6*z^2 - 16*a^8*z^2 + 
   5*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 13*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + 
   z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 12211] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 25*z^2 - 
   (4*z^2)/a^4 + (17*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12212] -> 
  2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 12213] -> 4*a^2 - 9*a^4 + 11*a^6 - 6*a^8 + 
   a^10 + 9*a^2*z^2 - 27*a^4*z^2 + 34*a^6*z^2 - 19*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + 8*a^2*z^4 - 32*a^4*z^4 + 36*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 19*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12214] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 + z^2/a^8 - (2*z^2)/a^4 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12215] -> 
  1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - a^(-2) + 2*z^2 - (3*z^2)/a^10 + 
   (10*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12216] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 2*z^2 - z^2/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + (18*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (6*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12217] -> 
  5*a^2 - 11*a^4 + 12*a^6 - 6*a^8 + a^10 - z^2 + 13*a^2*z^2 - 31*a^4*z^2 + 
   30*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 14*a^2*z^4 - 36*a^4*z^4 + 
   29*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 20*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 12218] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 - z^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + z^4/a^2 + 
   a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 12219] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12220] -> 6*a^6 - 10*a^8 + 9*a^10 - 5*a^12 + a^14 + 
   a^4*z^2 + 14*a^6*z^2 - 21*a^8*z^2 + 17*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 11*a^6*z^4 - 18*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 12221] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   2*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12222] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12223] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12224] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 
   22*z^2 + z^2/a^6 - (9*z^2)/a^4 + (21*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12225] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^4 - 
   6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 12226] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12227] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12228] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12229] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + z^4/a^2 + 17*a^2*z^4 - 22*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12230] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12231] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12232] -> 2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 
   3*z^2 - z^2/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 9*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 12233] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + z^2/a^8 - (3*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (8*z^4)/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12234] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + (6*z^4)/a^4 - 
   (9*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12235] -> 
  1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12236] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 12237] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12238] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - 
   a^(-4) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 12239] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 - z^4/a^10 - (4*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12240] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (16*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (5*z^4)/a^6 - 
   (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12241] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 12*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 12242] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - 
   z^2/a^6 - z^2/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12243] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12244] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12245] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   28*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 34*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12246] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 15*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (15*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12247] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 20*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   25*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 22*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   33*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12248] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - z^2 - 
   (2*z^2)/a^2 + 14*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 12249] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^6 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 - (2*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 12250] -> 
  2 + 2/a^8 - 5/a^6 + 5/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (10*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12251] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + 
   a^2 - 10*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 
   14*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12252] -> -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + 
   a^2 - 2*z^2 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 12253] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 + 2*a^2*z^2 - 13*a^4*z^2 + 
   13*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 14*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 12254] -> 
  -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^8 + z^4/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^4 + (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 12255] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 
   2*a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 
   2*a^4*z^2 + 6*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 12256] -> 
  a^(-2) - a^4 + a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 
   a^8*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 
   2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 12257] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12258] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12259] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12260] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (15*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 12261] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (9*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12262] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12263] -> -a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - a^(-4) + 
   a^(-2) + z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12264] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 12265] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 18*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (24*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12266] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 6*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12267] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   16*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12268] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12269] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12270] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + 
   (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12271] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 + z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 12272] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 7*z^2 - (6*z^2)/a^6 + (14*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (7*z^4)/a^6 + (17*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12273] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + 6*a^2*z^4 - 16*a^4*z^4 + 5*a^6*z^4 + 5*a^8*z^4 - 
   2*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12274] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12275] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12276] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12277] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (11*z^2)/a^4 - z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12278] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 7*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (21*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12279] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 3*a^4 + a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 12280] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 
   15*a^6*z^2 - 5*a^8*z^2 + 6*a^2*z^4 - 17*a^4*z^4 + 10*a^6*z^4 + 3*a^8*z^4 - 
   2*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12281] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12282] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   9*z^2 - (2*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 + a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12283] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12284] -> 
  1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 2*z^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   5*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 12285] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (18*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12286] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 5*z^2 + 
   (5*z^2)/a^4 - (12*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12287] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 20*z^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 12288] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 12289] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 
   6*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 14*a^4*z^2 - 4*a^6*z^2 - 7*z^4 + 
   (4*z^4)/a^2 - 13*a^2*z^4 + 15*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   9*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 12290] -> 
  -2 + a^(-4) + 2*a^2 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   9*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[15, Alternating, 12291] -> 
  -4 + a^(-6) - 2/a^4 + 3/a^2 + 4*a^2 - a^4 - 18*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12292] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (16*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (16*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 12293] -> 
  -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12294] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + 
   a^4 - 15*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12295] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 13*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 - 
   a^6*z^4 - 12*z^6 + (4*z^6)/a^2 + 6*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 2*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 12296] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   7*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (6*z^4)/a^6 + (15*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12297] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 12*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12298] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12299] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 20*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 
   a^8*z^4 - 4*z^6 + 13*a^2*z^6 - 5*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 12300] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (6*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 - (8*z^4)/a^4 + 
   (22*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (5*z^6)/a^4 + 
   (15*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 12301] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 12*a^2*z^2 - 8*a^4*z^2 + a^8*z^2 - 
   6*z^4 + 16*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 
   12*a^2*z^6 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 12302] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 4*z^2 + z^2/a^8 + (9*z^2)/a^6 - 
   (24*z^2)/a^4 + (20*z^2)/a^2 + (2*z^4)/a^8 + (2*z^4)/a^6 - (23*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12303] -> 3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12304] -> 1 + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12305] -> -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - 
   7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12306] -> -7 + 2/a^2 + 12*a^2 - 9*a^4 + 4*a^6 - a^8 - 
   19*z^2 + (5*z^2)/a^2 + 29*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 31*a^2*z^4 - 26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12307] -> 
  -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12308] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 
   20*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12309] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 12310] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 20*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12311] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 12312] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12313] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12314] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 6*z^2 + 
   18*a^2*z^2 - 12*a^4*z^2 + 2*a^8*z^2 - 7*z^4 + 18*a^2*z^4 - 3*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 12315] -> -4 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + 
   2*a^2 - 12*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (23*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 12316] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 
   2*a^4 - 21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 
   20*z^4 + z^4/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12317] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 6*z^2 + 22*a^2*z^2 - 22*a^4*z^2 + 
   7*a^6*z^2 + a^8*z^2 - 4*z^4 - (2*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 12*a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 12318] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (19*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12319] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12320] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12321] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12322] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12323] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 12324] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12325] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12326] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + z^4/a^6 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12327] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 18*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 12328] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 4*a^2*z^2 - 2*a^4*z^2 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 12329] -> -a^(-10) + a^(-6) + a^(-4) - 
   z^2/a^14 + (4*z^2)/a^12 - (4*z^2)/a^10 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12330] -> 2 - 2*a^2 + a^4 + 2*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12331] -> 1 + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12332] -> -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12333] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12334] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   22*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 24*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 32*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12335] -> 
  -1 + 2/a^4 - 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 12336] -> 1 + a^4 - 2*a^6 + a^8 - z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - z^4 + z^4/a^2 - a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 12337] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   6*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^6 - z^4/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12338] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 2*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 12339] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 
   2*a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12340] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12341] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   z^2/a^2 + 23*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 26*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12342] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12343] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   9*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   16*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12344] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 12345] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + z^4 - 
   z^4/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12346] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 12347] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12348] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12349] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   11*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (19*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12350] -> 1 + 2/a^6 - 3/a^4 + a^(-2) - a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12351] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12352] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 14*a^2*z^2 - 18*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12353] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12354] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 4*z^4 - z^4/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 12355] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12356] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 12357] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 19*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12358] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 12359] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (13*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (8*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12360] -> a^4 + a^6 - a^10 + 3*a^4*z^2 + 3*a^6*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 12361] -> 
  a^2 + 3*a^4 - 6*a^6 + 4*a^8 - a^10 - z^2 + a^2*z^2 + 8*a^4*z^2 - 
   11*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 + a^2*z^4 + 8*a^4*z^4 - 
   7*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 12362] -> 
  4 + a^(-6) - 3/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12363] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 4*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 12364] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 - z^2 + 4*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 - 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   6*a^6*z^4 - 2*a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 12365] -> 1 - a^4 + 2*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12366] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 12367] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 12368] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 7*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12369] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 6*z^2 + 
   19*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 9*z^4 + z^4/a^2 + 
   25*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12370] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 3*z^2 + z^2/a^8 + (5*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 + 
   (2*z^4)/a^8 + z^4/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 12371] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 
   5/a^4 + 2/a^2 - z^2 - (5*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12372] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 18*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12373] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12374] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^12 - 
   (4*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 12375] -> -a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 3/a^4 + 
   3/a^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - (6*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12376] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 + (5*z^2)/a^10 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12377] -> -4 + 2/a^6 - 6/a^4 + 8/a^2 + a^4 - 13*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 + a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (25*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12378] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   14*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12379] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12380] -> 
  -4 + 2/a^6 - 6/a^4 + 8/a^2 + a^4 - 14*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 + 2*a^2*z^2 - 19*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (23*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12381] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12382] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 20*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 - 18*z^4 + (6*z^4)/a^2 + 14*a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 + a^2*z^6 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 12383] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 4*a^2*z^4 - 11*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 12384] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12385] -> 
  a^2 + a^4 - 4*a^6 + 6*a^8 - 3*a^10 + 4*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 
   14*a^8*z^2 - 4*a^10*z^2 + 6*a^2*z^4 - 11*a^4*z^4 - 8*a^6*z^4 + 
   14*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 12386] -> -2 + 2/a^2 - 3*a^2 + 7*a^4 - 
   3*a^6 - 5*z^2 + (4*z^2)/a^2 - 11*a^2*z^2 + 16*a^4*z^2 - 4*a^6*z^2 - 
   7*z^4 + (4*z^4)/a^2 - 14*a^2*z^4 + 15*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 9*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 12387] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 21*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12388] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12389] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12390] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   26*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12391] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 5*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 
   11*a^8*z^2 - 3*a^10*z^2 + 4*a^2*z^4 - 8*a^4*z^4 - 10*a^6*z^4 + 
   13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 12392] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 
   2*a^6 - 22*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 
   a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12393] -> 
  -1 + a^(-2) + 3*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12394] -> -a^(-14) + 2/a^12 - a^(-10) - 
   3/a^8 + 4/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - 
   (14*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12395] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 9*a^2*z^2 - 
   4*a^4*z^2 - a^6*z^2 + a^8*z^2 - 4*z^4 + 10*a^2*z^4 - a^4*z^4 - 6*a^6*z^4 + 
   2*a^8*z^4 - 3*z^6 + 8*a^2*z^6 + 3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 12396] -> 2*a^2 - 5*a^4 + 11*a^6 - 11*a^8 + 5*a^10 - 
   a^12 + 5*a^2*z^2 - 16*a^4*z^2 + 28*a^6*z^2 - 19*a^8*z^2 + 5*a^10*z^2 + 
   6*a^2*z^4 - 21*a^4*z^4 + 23*a^6*z^4 - 7*a^8*z^4 - a^10*z^4 + 4*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12397] -> -2 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + a^4 - 
   6*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 12398] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 6*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - 7*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 + a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 12399] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 5*z^2 + (2*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 12400] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   18*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12401] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12402] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12403] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^10 + z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + 2*z^4 - a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 12404] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 14*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12405] -> -a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 12406] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 12407] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12408] -> -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12409] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12410] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 23*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 22*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12411] -> 
  -2 + 9*a^2 - 12*a^4 + 9*a^6 - 3*a^8 - 7*z^2 + 25*a^2*z^2 - 27*a^4*z^2 + 
   13*a^6*z^2 - a^8*z^2 - 9*z^4 + 28*a^2*z^4 - 21*a^4*z^4 + 2*a^8*z^4 - 
   5*z^6 + 17*a^2*z^6 - 3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 12412] -> 4 - a^(-2) - 4*a^2 + 2*a^4 + a^6 - a^8 + 
   9*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + a^8*z^2 + 8*z^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 12413] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (15*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12414] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   14*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12415] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 18*a^2*z^2 - 19*a^4*z^2 + 
   8*a^6*z^2 - 7*z^4 + 20*a^2*z^4 - 13*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 
   4*z^6 + 13*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 12416] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 - 2*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12417] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 12418] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (17*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12419] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 12420] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12421] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (7*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 12422] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 4*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12423] -> 6*a^6 - 9*a^8 + 7*a^10 - 4*a^12 + a^14 - 
   2*a^4*z^2 + 18*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - 3*a^12*z^2 - 
   5*a^4*z^4 + 20*a^6*z^4 - 12*a^8*z^4 + 2*a^12*z^4 - 4*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 - 6*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 12424] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 + 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 12425] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   2*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + 
   (6*z^4)/a^4 - (11*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12426] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (19*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 11*z^4 - (9*z^4)/a^4 + (18*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (10*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 12427] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12428] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 + (6*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + z^4/a^8 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12429] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 23*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 26*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 25*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 31*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12430] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 27*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (19*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 33*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (22*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12431] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   9*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 12432] -> 3*a^4 - 4*a^6 + 5*a^8 - 4*a^10 + a^12 - 
   a^2*z^2 + 8*a^4*z^2 - 9*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 7*a^4*z^4 - 7*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[15, Alternating, 12433] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2/a^6 + z^2/a^4 + z^4 + z^4/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12434] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 17*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12435] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 5*a^2*z^4 - 
   10*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 12436] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12437] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 5*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12438] -> -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 
   13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 12439] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12440] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 12441] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 - 2*a^4*z^2 + 16*a^6*z^2 - 10*a^8*z^2 + 
   a^10*z^2 + a^12*z^2 - 5*a^4*z^4 + 17*a^6*z^4 - 3*a^8*z^4 - 8*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 12442] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 12443] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12444] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 10*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12445] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 + (5*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12446] -> 
  2 + a^(-4) - 2/a^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^4 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 12447] -> a^(-4) - a^(-2) + a^2 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12448] -> -1 - a^(-6) + 2/a^4 + a^2 + z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12449] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 12450] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12451] -> a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (8*z^4)/a^6 - 
   (13*z^4)/a^4 + z^4/a^2 - z^6/a^10 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12452] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (11*z^2)/a^12 - (8*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - 
   z^4/a^14 + (13*z^4)/a^12 - (11*z^4)/a^10 - (15*z^4)/a^8 + (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12453] -> -2/a^14 + 6/a^12 - 7/a^10 + a^(-8) + 3/a^6 - 
   (3*z^2)/a^14 + (15*z^2)/a^12 - (16*z^2)/a^10 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - (13*z^4)/a^8 + 
   (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12454] -> -a^(-14) + 2/a^12 - 5/a^8 + 5/a^6 - 
   z^2/a^14 + (5*z^2)/a^12 + z^2/a^10 - (12*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 12455] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 
   14*z^2 + (5*z^2)/a^4 - (16*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 9*z^4 + 
   (7*z^4)/a^4 - (19*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12456] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 - (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12457] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12458] -> -a^(-14) + 3/a^12 - 3/a^10 - 
   a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (2*z^4)/a^10 - 
   (8*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12459] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (22*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12460] -> 4*a^4 - 9*a^6 + 11*a^8 - 5*a^10 + 
   16*a^4*z^2 - 37*a^6*z^2 + 39*a^8*z^2 - 11*a^10*z^2 + 23*a^4*z^4 - 
   68*a^6*z^4 + 57*a^8*z^4 - 12*a^10*z^4 + 18*a^4*z^6 - 64*a^6*z^6 + 
   42*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 12461] -> a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 5*a^2*z^2 - 
   3*a^4*z^2 - 8*a^6*z^2 + 17*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 10*a^4*z^4 - 
   14*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 
   11*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 12462] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12463] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (11*z^2)/a^12 - (10*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (14*z^4)/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12464] -> -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - (7*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12465] -> 
  2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 6*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 
   11*a^8*z^2 - 4*a^10*z^2 + 7*a^2*z^4 - 15*a^4*z^4 - 5*a^6*z^4 + 
   14*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 12466] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 - 5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (14*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12467] -> 3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 + 9*a^2*z^2 - 
   22*a^4*z^2 + 20*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + 10*a^2*z^4 - 27*a^4*z^4 + 
   10*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 - 3*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 12468] -> 
  2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 7*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 + 9*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 + 11*a^8*z^4 - 
   3*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 4*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12469] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12470] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 - 
   z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12471] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 3/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (20*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (20*z^4)/a^6 - (15*z^4)/a^4 + 
   z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12472] -> 
  4*a^2 - 10*a^4 + 13*a^6 - 7*a^8 + a^10 + 10*a^2*z^2 - 27*a^4*z^2 + 
   28*a^6*z^2 - 8*a^8*z^2 + 10*a^2*z^4 - 31*a^4*z^4 + 19*a^6*z^4 + 
   2*a^8*z^4 - 2*a^10*z^4 + 5*a^2*z^6 - 18*a^4*z^6 + 2*a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 12473] -> 2 - 4*a^2 + 4*a^4 - a^8 + 
   4*z^2 - 9*a^2*z^2 + 6*a^4*z^2 + 2*a^8*z^2 - a^10*z^2 + 3*z^4 - 9*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12474] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (19*z^2)/a^4 + 
   (8*z^2)/a^2 - (4*z^4)/a^8 + (15*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 12475] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 
   7*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12476] -> 1 - 2*a^2 + 3*a^4 - a^6 + a^8 - a^10 + 
   3*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 
   3*z^4 - 7*a^2*z^4 - 4*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12477] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12478] -> -a^(-8) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12479] -> 
  a^2 + a^6 - a^8 - z^2 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 12480] -> 3 - a^(-2) - a^2 + 7*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12481] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 12482] -> 
  -8 + 2/a^6 - 6/a^4 + 9/a^2 + 5*a^2 - a^4 - 27*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (26*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (29*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12483] -> 
  -3 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 12484] -> 
  1 + a^(-10) - 4/a^8 + 8/a^6 - 8/a^4 + 3/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (21*z^2)/a^6 - (19*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (23*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12485] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (24*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12486] -> 
  1 + a^(-10) - 4/a^8 + 8/a^6 - 8/a^4 + 3/a^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (21*z^2)/a^6 - (19*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (23*z^4)/a^6 - (21*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12487] -> 
  -4 + 2/a^2 + 3*a^2 + a^6 - a^8 - 12*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 
   15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12488] -> 1 + a^(-10) - 4/a^8 + 8/a^6 - 8/a^4 + 
   3/a^2 + z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (19*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (16*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12489] -> 
  -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (3*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (6*z^4)/a^10 - (14*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12490] -> 
  -a^(-14) + 2/a^12 + a^(-10) - 7/a^8 + 6/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 + 
   (4*z^2)/a^10 - (20*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 + z^4/a^10 - (25*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12491] -> 
  -9 + a^(-6) - 3/a^4 + 6/a^2 + 9*a^2 - 3*a^4 - 30*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (20*z^2)/a^2 + 22*a^2*z^2 - 5*a^4*z^2 - 35*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 20*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12492] -> 
  -6 + 2/a^6 - 6/a^4 + 9/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (18*z^2)/a^4 + (20*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12493] -> -4 + 2/a^2 + 3*a^2 + a^6 - a^8 - 9*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   7*z^4 + z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 12494] -> -2/a^12 + 7/a^10 - 10/a^8 + 7/a^6 - 3/a^4 + 
   2/a^2 - (3*z^2)/a^12 + (17*z^2)/a^10 - (28*z^2)/a^8 + (23*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (31*z^4)/a^8 + 
   (26*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (16*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 12495] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12496] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 + 
   a^2*z^2 - 9*z^4 - z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12497] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 2*a^4 + a^6 - 
   a^8 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 12498] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 
   7/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (18*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (15*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12499] -> 
  -3/a^14 + 10/a^12 - 13/a^10 + 5/a^8 + 2/a^6 - (7*z^2)/a^14 + 
   (32*z^2)/a^12 - (42*z^2)/a^10 + (15*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^4)/a^14 + (37*z^4)/a^12 - (54*z^4)/a^10 + (8*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (38*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 12500] -> 
  -2/a^14 + 6/a^12 - 7/a^10 + 2/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (15*z^2)/a^12 - (16*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - (5*z^4)/a^8 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12501] -> 
  -2/a^14 + 6/a^12 - 6/a^10 - a^(-8) + 4/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (9*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (9*z^4)/a^10 - (16*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12502] -> 
  -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - 
   (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 12503] -> -a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 3/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (12*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12504] -> -9 + a^(-6) - 3/a^4 + 6/a^2 + 9*a^2 - 
   3*a^4 - 30*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 22*a^2*z^2 - 
   5*a^4*z^2 - 35*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 20*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12505] -> 
  -a^(-14) + 2/a^12 + a^(-10) - 7/a^8 + 6/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 + 
   (4*z^2)/a^10 - (20*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 + z^4/a^10 - (25*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12506] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 13*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12507] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 2/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12508] -> 1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (8*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (6*z^4)/a^8 - (10*z^4)/a^6 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12509] -> 1 + a^(-10) - 4/a^8 + 8/a^6 - 8/a^4 + 
   3/a^2 + 2*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - 
   (18*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - 
   (14*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12510] -> 2*a^2 - 4*a^4 + 4*a^6 + a^8 - 2*a^10 + 
   7*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 
   20*a^4*z^4 - a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 
   8*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 12511] -> 
  -3 + a^(-2) + 7*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 23*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 27*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12512] -> a^2 - 3*a^6 + 7*a^8 - 4*a^10 + 
   5*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 18*a^8*z^2 - 6*a^10*z^2 + 8*a^2*z^4 - 
   15*a^4*z^4 - 8*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   14*a^4*z^6 - 9*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12513] -> 2*a^2 - 4*a^4 + 4*a^6 + a^8 - 2*a^10 + z^2 + 
   4*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12514] -> -3 + a^(-2) + 6*a^2 - 7*a^4 + 7*a^6 - 
   3*a^8 - 10*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 23*a^4*z^2 + 17*a^6*z^2 - 
   3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12515] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 2/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12516] -> 1 - 2*a^2 + 3*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   3*z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12517] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 
   2*a^2 - 16*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + 
   (23*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - z^4/a^8 + (9*z^4)/a^6 - (24*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12518] -> -8 + a^(-6) - 4/a^4 + 8/a^2 + 5*a^2 - a^4 - 
   23*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (29*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12519] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 7*z^2 - 
   25*a^2*z^2 + 31*a^4*z^2 - 10*a^6*z^2 + 17*z^4 - 53*a^2*z^4 + 51*a^4*z^4 - 
   12*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 41*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   32*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 12520] -> -2 + a^(-2) + a^2 + 3*a^4 - 
   2*a^6 - 4*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + 
   (5*z^4)/a^2 - 10*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   10*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 12521] -> 
  1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 3*z^2 - 3*a^2*z^2 - 6*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 3*z^4 - 4*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 12522] -> 
  -6 + 2/a^2 + 9*a^2 - 6*a^4 + 3*a^6 - a^8 - 17*z^2 + (5*z^2)/a^2 + 
   23*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   27*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12523] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 
   17*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 21*z^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   2*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 12524] -> 
  -7 + 2/a^2 + 13*a^2 - 13*a^4 + 9*a^6 - 3*a^8 - 19*z^2 + (5*z^2)/a^2 + 
   32*a^2*z^2 - 31*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   32*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12525] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 
   4*a^4 + 3*a^6 - a^8 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12526] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 12527] -> 
  -2 - 3/a^6 + 5/a^4 + a^2 - 10*z^2 - (5*z^2)/a^6 + (14*z^2)/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 17*z^4 - (4*z^4)/a^6 + (17*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - 14*z^6 - z^6/a^6 + (10*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12528] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (9*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (11*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12529] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (4*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (9*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12530] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (15*z^4)/a^10 + (12*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (9*z^6)/a^10 + (10*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12531] -> a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - 
   (5*z^2)/a^10 + z^2/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12532] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - (7*z^4)/a^10 + (16*z^4)/a^8 - 
   z^4/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12533] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   11*z^2 - (5*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (8*z^4)/a^6 + (17*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12534] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 3/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12535] -> 
  6 - 3/a^2 - 3*a^4 + a^6 + 15*z^2 - (7*z^2)/a^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   4*a^6*z^2 + 19*z^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 12536] -> 4 - a^(-4) - a^2 - 2*a^4 + a^6 + 8*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 12537] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 4*z^2 + 
   (6*z^2)/a^8 - (13*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   (8*z^4)/a^8 - (18*z^4)/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12538] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + 
   (5*z^2)/a^4 - (12*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 
   (8*z^4)/a^4 - (17*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12539] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 12540] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (8*z^2)/a^14 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (6*z^4)/a^14 + 
   (9*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 12541] -> 
  -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 12542] -> -1 - a^(-8) + a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - 6*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12543] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12544] -> -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + 
   (12*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12545] -> 
  a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + a^(-6) + a^(-4) - (5*z^2)/a^12 + 
   (8*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   z^4/a^12 + (8*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 + 
   z^6/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 12546] -> -1 + a^(-10) - 3/a^8 + 3/a^4 + 
   a^(-2) - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 - z^2/a^6 + (9*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (4*z^4)/a^8 - z^4/a^6 + (11*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 12547] -> 
  1 - 2/a^10 + 3/a^8 + a^(-6) - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - 
   (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12548] -> 1 + a^(-8) - a^(-6) - 3/a^4 + 4/a^2 - a^2 + 
   4*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12549] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (11*z^2)/a^14 + 
   (17*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + 
   (12*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 12550] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 - (5*z^2)/a^14 - (3*z^2)/a^12 + 
   (10*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (5*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 12551] -> 2 - 2/a^4 + 3/a^2 - 2*a^2 - a^4 + a^6 + 
   7*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 12552] -> a^(-14) - 4/a^12 + 3/a^10 + 
   a^(-4) - z^2/a^14 - (5*z^2)/a^12 + (11*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 - (3*z^4)/a^8 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 + z^6/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12553] -> -3 + 2/a^8 - 8/a^6 + 6/a^4 + 4/a^2 - 9*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (12*z^2)/a^4 + (15*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (14*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12554] -> -3 + 2/a^8 - 8/a^6 + 6/a^4 + 4/a^2 - 9*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (12*z^2)/a^4 + (15*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (14*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12555] -> -2 + 3/a^8 - 8/a^6 + 4/a^4 + 4/a^2 - 5*z^2 + 
   (7*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (9*z^4)/a^8 - (20*z^4)/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12556] -> -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + 
   (12*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12557] -> 
  9 - 4/a^2 - 2*a^2 - 4*a^4 + 2*a^6 + 18*z^2 - (8*z^2)/a^2 + a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 + 21*z^4 - (9*z^4)/a^2 + 7*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 12558] -> -2 + 3/a^8 - 8/a^6 + 4/a^4 + 4/a^2 - 5*z^2 + 
   (7*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (9*z^4)/a^8 - (20*z^4)/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12559] -> 1 - a^(-6) + a^(-4) + a^(-2) - a^2 - a^4 + 
   a^6 + 2*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 12560] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12561] -> a^(-12) - 2/a^10 - 3/a^8 + 5/a^6 + a^(-4) - 
   a^(-2) + z^2/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + z^4/a^8 + 
   (19*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12562] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   3*z^2 + z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 12563] -> -4 - 2/a^6 + 4/a^4 + a^(-2) + 
   a^2 + a^4 - 10*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 12564] -> 
  a^(-16) - 2/a^14 - a^(-12) + a^(-10) + a^(-8) + a^(-6) - (5*z^2)/a^14 + 
   (7*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (6*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 12565] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12566] -> -3 - a^(-8) + a^(-6) + 2/a^4 + a^2 + a^4 - 
   6*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 - z^4/a^8 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 12567] -> 
  2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12568] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - (4*z^2)/a^14 + (9*z^2)/a^12 - 
   (5*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - 
   (7*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 12569] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12570] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 5*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12571] -> -3*a^2 + 6*a^4 + a^6 - 3*a^8 + z^2 - 
   8*a^2*z^2 + 13*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 6*z^4 - 12*a^2*z^4 + 
   6*a^4*z^4 + 18*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 12*a^2*z^6 - 5*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 12572] -> 
  -1 + 4*a^4 - 2*a^8 - z^2 + 8*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12573] -> -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - 2*z^2 + 
   3*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12574] -> -a^(-18) + 4/a^16 - 3/a^14 - 5/a^12 + 
   4/a^10 + 2/a^8 + (4*z^2)/a^16 - (11*z^2)/a^14 - (6*z^2)/a^12 + 
   (16*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (9*z^4)/a^14 + (6*z^4)/a^12 + 
   (23*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (10*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 12575] -> a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - 
   (2*z^2)/a^14 - (3*z^2)/a^12 + (4*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 - z^4/a^14 + (3*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 12576] -> 7 - a^(-4) - 2/a^2 - a^2 - 
   3*a^4 + a^6 + 15*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + 16*z^4 - (2*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + 10*z^6 - z^6/a^4 + z^6/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + 
   z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 12577] -> 
  -2 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + a^4 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12578] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 5*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 12579] -> 
  1 - a^(-2) + a^2 + a^4 - a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + z^4/a^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 12580] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 5/a^6 + a^(-4) - a^(-2) + z^2/a^12 - 
   (5*z^2)/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + z^4/a^8 + (19*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12581] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12582] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12583] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12584] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 2/a^4 - 
   a^(-2) + a^2 - z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 12585] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12586] -> 7 - a^(-4) - 2/a^2 - a^2 - 3*a^4 + a^6 + 
   15*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 
   16*z^4 - (2*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 
   10*z^6 - z^6/a^4 + z^6/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 
   2*a^2*z^8, Knot[15, Alternating, 12587] -> -a^(-10) + a^(-8) + a^(-2) - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12588] -> 6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 9*z^2 + 
   (6*z^2)/a^4 - (17*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 2*z^4 + 
   (7*z^4)/a^4 - (18*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12589] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 6*z^2 + (4*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12590] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 12591] -> 
  -2 + 3*a^2 + 2*a^4 - a^6 - a^8 - z^2 + 3*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 12592] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^14 - (2*z^2)/a^12 + 
   (11*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (8*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12593] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12594] -> 
  8 + 3/a^4 - 10/a^2 + 4*a^2 - 4*a^4 + 12*z^2 + (8*z^2)/a^4 - (23*z^2)/a^2 + 
   16*a^2*z^2 - 8*a^4*z^2 + 2*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 21*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12595] -> 5 + a^(-6) - 2/a^4 - 2/a^2 + a^2 - 2*a^4 + 
   8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 12596] -> 
  -a^(-10) + a^(-8) + a^(-2) - (3*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 12597] -> 
  -2/a^14 + 6/a^12 - 6/a^10 - a^(-8) + 4/a^6 - (4*z^2)/a^14 + (12*z^2)/a^12 - 
   (8*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (16*z^4)/a^12 - 
   (7*z^4)/a^10 - (13*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - 
   (8*z^6)/a^10 - (13*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 12598] -> -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 12599] -> -4 + a^(-2) + 5*a^2 + a^4 - 
   2*a^6 - 12*z^2 + z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 - 14*z^4 + (3*z^4)/a^4 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 12600] -> -1 + 3*a^2 - a^6 - 3*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 12601] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 3/a^12 + 5/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (17*z^2)/a^14 - z^2/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (13*z^4)/a^14 + (12*z^4)/a^12 + (29*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 12602] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 6*z^2 + (4*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12603] -> -2 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + a^4 - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12604] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12605] -> 
  a^(-14) - 5/a^12 + 6/a^10 - 2/a^8 - a^(-6) + 2/a^4 - z^2/a^14 - 
   (5*z^2)/a^12 + (14*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (2*z^4)/a^12 + (11*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 + z^6/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12606] -> 12 - 6/a^2 - 2*a^2 - 5*a^4 + 2*a^6 + 
   27*z^2 - (12*z^2)/a^2 - 15*a^4*z^2 + 5*a^6*z^2 + 27*z^4 - (10*z^4)/a^2 + 
   7*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 12607] -> 5 - 2/a^4 + a^(-2) - 2*a^2 - 
   2*a^4 + a^6 + 10*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 10*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 12608] -> 
  -3 + 4/a^8 - 11/a^6 + 6/a^4 + 5/a^2 - 7*z^2 + (9*z^2)/a^8 - (24*z^2)/a^6 + 
   (9*z^2)/a^4 + (16*z^2)/a^2 - 5*z^4 + (9*z^4)/a^8 - (24*z^4)/a^6 + 
   (20*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - (7*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 12609] -> 
  2/a^8 - 4/a^6 - a^(-4) + 5/a^2 - a^2 + 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12610] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12611] -> 3 + 3/a^6 - 8/a^4 + 5/a^2 - 2*a^2 + 8*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12612] -> 
  6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 9*z^2 + (6*z^2)/a^4 - (17*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + 2*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12613] -> -2/a^12 + 3/a^10 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^14 + (6*z^2)/a^10 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 12614] -> -a^(-14) + a^(-12) + a^(-10) - a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^12 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12615] -> 
  -a^(-18) + 4/a^16 - 3/a^14 - 5/a^12 + 4/a^10 + 2/a^8 + (4*z^2)/a^16 - 
   (11*z^2)/a^14 - (6*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - 
   (9*z^4)/a^14 + (6*z^4)/a^12 + (23*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   (10*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 12616] -> 
  8 + 3/a^4 - 10/a^2 + 4*a^2 - 4*a^4 + 12*z^2 + (8*z^2)/a^4 - (23*z^2)/a^2 + 
   16*a^2*z^2 - 8*a^4*z^2 + 2*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 21*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12617] -> 5 + a^(-6) - 2/a^4 - 2/a^2 + a^2 - 2*a^4 + 
   8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 12618] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   11*a^2*z^2 - a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 4*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 12619] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 17*z^2 + 
   (3*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 12620] -> 
  -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   10*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12621] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 6*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - z^4/a^2 - 
   8*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 12622] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12623] -> -2 + 2/a^6 - 9/a^4 + 11/a^2 - a^2 + 
   (5*z^2)/a^6 - (23*z^2)/a^4 + (27*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (27*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 12624] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 12625] -> 
  3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + (10*z^2)/a^8 - (46*z^2)/a^6 + 
   (63*z^2)/a^4 - (22*z^2)/a^2 + (12*z^4)/a^8 - (68*z^4)/a^6 + 
   (103*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (48*z^6)/a^6 + (88*z^6)/a^4 - 
   (24*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (41*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 12626] -> -1 + 2/a^8 - 8/a^6 + 8/a^4 - 6*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (21*z^2)/a^4 + (5*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (23*z^4)/a^6 + (24*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12627] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (10*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12628] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 12629] -> 
  -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (19*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12630] -> 
  -2 + 9*a^2 - 13*a^4 + 12*a^6 - 6*a^8 + a^10 - 5*z^2 + 21*a^2*z^2 - 
   29*a^4*z^2 + 23*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 
   2*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 12631] -> 
  -11 + 2/a^2 + 19*a^2 - 10*a^4 + a^6 - 27*z^2 + (5*z^2)/a^2 + 42*a^2*z^2 - 
   14*a^4*z^2 - a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 38*a^2*z^4 - a^4*z^4 - 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 19*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 12632] -> 3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 
   6*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + z^4/a^8 - (7*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 12633] -> 
  -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (19*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12634] -> 
  -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 8*z^2 + 26*a^2*z^2 - 27*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 32*a^2*z^4 - 28*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12635] -> 3 - a^(-2) + a^2 - 5*a^4 + 4*a^6 - a^8 + 
   5*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 12636] -> -5 - a^(-4) + 5/a^2 + 3*a^4 - a^6 - 9*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12637] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 9*z^2 + 
   26*a^2*z^2 - 23*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^4 - 
   z^4/a^2 + 27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   12*a^2*z^6 - 6*a^4*z^6 + z^8 + 3*a^2*z^8, Knot[15, Alternating, 12638] -> 
  a^2 - 4*a^4 + 11*a^6 - 9*a^8 + 2*a^10 - z^2 + 6*a^2*z^2 - 16*a^4*z^2 + 
   31*a^6*z^2 - 18*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 24*a^4*z^4 + 
   32*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   16*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 12639] -> a^4 + 3*a^6 - 4*a^8 + a^10 + a^4*z^2 + 
   8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 
   7*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 12640] -> -3*a^6 + 14*a^8 - 13*a^10 + 
   3*a^12 - a^4*z^2 - 9*a^6*z^2 + 51*a^8*z^2 - 38*a^10*z^2 + 7*a^12*z^2 - 
   6*a^4*z^4 - 5*a^6*z^4 + 67*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 5*a^6*z^6 + 44*a^8*z^6 - 19*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 15*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 12641] -> -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 2*a^12 - 
   4*a^4*z^2 + 11*a^6*z^2 + 15*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 17*a^6*z^4 + 14*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 12642] -> 
  -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 6*a^4*z^2 + 20*a^6*z^2 + a^8*z^2 - 
   9*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 21*a^6*z^4 + 6*a^8*z^4 - 
   9*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 12643] -> -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 
   3*a^4*z^2 + 16*a^6*z^2 - a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   5*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 12644] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 3*z^2 + 14*a^2*z^2 - 
   21*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4/a^2 + 12*a^2*z^4 - 
   23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 12645] -> 
  -15 + a^(-6) - 6/a^4 + 14/a^2 + 9*a^2 - 2*a^4 - 36*z^2 + (2*z^2)/a^6 - 
   (15*z^2)/a^4 + (35*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 33*z^4 + 
   (2*z^4)/a^6 - (15*z^4)/a^4 + (37*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12646] -> 
  -12 + 3/a^2 + 19*a^2 - 11*a^4 + 2*a^6 - 32*z^2 - z^2/a^4 + (10*z^2)/a^2 + 
   42*a^2*z^2 - 20*a^4*z^2 + 3*a^6*z^2 - 34*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 37*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 16*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12647] -> -a^2 + 3*a^4 - a^6 + 3*a^8 - 
   4*a^10 + a^12 - 2*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 + 6*a^8*z^2 - 
   6*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 12648] -> -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 
   3*z^2 + 14*a^2*z^2 - 21*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 12*a^2*z^4 - 23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 12649] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 15*z^2 + 
   (2*z^2)/a^2 + 26*a^2*z^2 - 8*a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^4 - 
   z^4/a^2 + 25*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   12*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 12650] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 19*z^2 - 
   (9*z^2)/a^2 - 8*a^2*z^2 + 24*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 12651] -> 2*a^2 - a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 12652] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + 6*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 12653] -> 
  4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 8*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 + 
   11*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   10*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 12654] -> 
  -7 + 2/a^2 + 11*a^2 - 6*a^4 + a^6 - 21*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   28*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   32*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12655] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - z^2 + a^2*z^2 + 
   9*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 2*a^4*z^4 - 
   12*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 12656] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 12657] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 12658] -> 3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 + 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   12*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12659] -> -4*a^2 + 15*a^4 - 14*a^6 + 4*a^8 - 
   14*a^2*z^2 + 54*a^4*z^2 - 55*a^6*z^2 + 18*a^8*z^2 - 16*a^2*z^4 + 
   77*a^4*z^4 - 94*a^6*z^4 + 30*a^8*z^4 - 7*a^2*z^6 + 53*a^4*z^6 - 
   83*a^6*z^6 + 23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 40*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 12660] -> -1 + a^2 + 7*a^4 - 9*a^6 + 3*a^8 - 4*z^2 + 
   8*a^2*z^2 + 13*a^4*z^2 - 25*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   4*a^4*z^4 - 31*a^6*z^4 + 12*a^8*z^4 - z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 
   20*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 12661] -> 
  -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - 5*z^2 + 15*a^2*z^2 - 2*a^4*z^2 - 
   14*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 7*a^4*z^4 - 20*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12662] -> 3/a^12 - 14/a^10 + 16/a^8 - 4/a^6 + 
   (8*z^2)/a^12 - (47*z^2)/a^10 + (68*z^2)/a^8 - (18*z^2)/a^6 + 
   (11*z^4)/a^12 - (66*z^4)/a^10 + (110*z^4)/a^8 - (30*z^4)/a^6 + 
   (6*z^6)/a^12 - (47*z^6)/a^10 + (90*z^6)/a^8 - (23*z^6)/a^6 + z^8/a^12 - 
   (16*z^8)/a^10 + (41*z^8)/a^8 - (8*z^8)/a^6 - (2*z^10)/a^10 + 
   (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 12663] -> 
  2/a^12 - 9/a^10 + 8/a^8 + a^(-6) - a^(-4) + (4*z^2)/a^12 - (22*z^2)/a^10 + 
   (24*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + 
   (27*z^4)/a^8 + (17*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + 
   (16*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12664] -> a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (19*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (16*z^4)/a^10 + (14*z^4)/a^8 + (24*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (9*z^6)/a^10 + (11*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12665] -> -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12666] -> a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (14*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12667] -> 
  3 - a^(-2) - 2*a^2 + 4*a^4 - 5*a^6 + 2*a^8 + 6*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 7*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12668] -> a^(-12) - 5/a^10 + 5/a^8 - 2/a^6 + 3/a^4 - 
   a^(-2) + (2*z^2)/a^12 - (10*z^2)/a^10 + (12*z^2)/a^8 - z^2/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12669] -> -3 + 11*a^2 - 9*a^4 + a^6 + a^8 - 7*z^2 + 
   27*a^2*z^2 - 23*a^4*z^2 - 2*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 
   24*a^4*z^4 - 12*a^6*z^4 + 8*a^8*z^4 - z^6 + 12*a^2*z^6 - 15*a^4*z^6 - 
   13*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 12670] -> 
  2 - a^(-2) + 3*a^2 - 4*a^4 + a^8 + 5*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   9*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12671] -> a^(-10) - 8/a^8 + 11/a^6 - 3/a^4 + 
   z^2/a^12 - (3*z^2)/a^10 - (12*z^2)/a^8 + (32*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^4)/a^12 - (11*z^4)/a^10 - z^4/a^8 + (36*z^4)/a^6 - (12*z^4)/a^4 + 
   z^6/a^12 - (9*z^6)/a^10 + (7*z^6)/a^8 + (21*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12672] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - 
   (3*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 - z^4/a^8 + (12*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12673] -> 
  -4 + 16*a^2 - 17*a^4 + 6*a^6 - 8*z^2 + 34*a^2*z^2 - 38*a^4*z^2 + 
   9*a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 29*a^2*z^4 - 35*a^4*z^4 - a^6*z^4 + 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 18*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12674] -> -a^(-12) + 6/a^10 - 16/a^8 + 16/a^6 - 
   4/a^4 + (5*z^2)/a^10 - (28*z^2)/a^8 + (42*z^2)/a^6 - (12*z^2)/a^4 + 
   (2*z^4)/a^12 - (5*z^4)/a^10 - (14*z^4)/a^8 + (43*z^4)/a^6 - (13*z^4)/a^4 + 
   z^6/a^12 - (7*z^6)/a^10 + (2*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12675] -> 7 - 2/a^2 - 5*a^2 + a^4 - a^6 + a^8 + 
   12*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 9*a^2*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12676] -> -a^(-10) + 2/a^8 - 5/a^6 + 7/a^4 - 2/a^2 + 
   z^2/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 - (6*z^2)/a^6 + (15*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 + 
   (12*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12677] -> -1 - a^(-4) + 3/a^2 - a^6 + a^8 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - 
   a^4*z^6 - a^6*z^6, Knot[15, Alternating, 12678] -> 
  -1 - a^(-10) + a^(-8) - a^(-4) + 3/a^2 - 2*z^2 + z^2/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^2 - z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[15, Alternating, 12679] -> -6 + a^(-4) + a^(-2) + 9*a^2 - 6*a^4 + 
   2*a^6 - 18*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 21*a^2*z^2 - 
   11*a^4*z^2 + a^6*z^2 - 16*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 12680] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 + a^4 - 2*a^6 + a^8 - 8*z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[15, Alternating, 12681] -> a^(-4) - a^(-2) + 2*a^2 - 
   2*a^4 + a^6 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 12682] -> a^4 + 5*a^6 - 10*a^8 + 7*a^10 - 2*a^12 - 
   a^2*z^2 + a^4*z^2 + 17*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 
   2*a^2*z^4 + 18*a^6*z^4 - 18*a^8*z^4 + 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 12683] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + 
   a^6 - 26*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 30*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 26*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12684] -> -2 + 2/a^4 - 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   6*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 12685] -> 1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12686] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   8*z^2 + z^2/a^2 + 22*a^2*z^2 - 26*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12687] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 12688] -> -16 - 5/a^4 + 15/a^2 + 9*a^2 - 
   2*a^4 - 35*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (35*z^2)/a^2 + 17*a^2*z^2 - 
   3*a^4*z^2 - 32*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (35*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12689] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (11*z^2)/a^12 - (10*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (14*z^4)/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12690] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12691] -> 1 - a^(-10) + 3/a^8 - 5/a^6 + 5/a^4 - 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (7*z^4)/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12692] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 12693] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   7*z^2 - z^2/a^8 + z^2/a^6 + (6*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12694] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 14*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 12695] -> 
  2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 6*a^2*z^2 - 11*a^4*z^2 + 
   7*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 7*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 
   7*a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - 2*a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 12696] -> -2/a^14 + 6/a^12 - 7/a^10 + 
   a^(-8) + 3/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - (14*z^2)/a^10 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (13*z^4)/a^12 - 
   (14*z^4)/a^10 - (12*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12697] -> 
  a^(-2) - 3*a^2 + 4*a^4 - a^8 - 5*z^2 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12698] -> -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   13*z^2 + (5*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12699] -> 
  a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 
   14*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + a^2*z^4 - 9*a^4*z^4 + 
   19*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 12700] -> a^(-2) - a^2 + a^4 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12701] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - 2*z^2 + 12*a^2*z^2 - 22*a^4*z^2 + 
   21*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 28*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12702] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12703] -> 
  a^2 - a^4 + 5*a^6 - 7*a^8 + 4*a^10 - a^12 + z^2 - a^2*z^2 - 3*a^4*z^2 + 
   16*a^6*z^2 - 15*a^8*z^2 + 5*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 7*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 7*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 12704] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 12705] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 
   3*a^2 - 21*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12706] -> 
  -3 + 2/a^2 + a^2 + a^4 + a^6 - a^8 - 9*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12707] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   21*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 26*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12708] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12709] -> 
  -7 - a^(-8) + 4/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (27*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (32*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12710] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12711] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12712] -> 
  -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12713] -> -a^(-14) + 3/a^12 - 3/a^10 - 
   2/a^8 + 4/a^6 - (3*z^2)/a^14 + (10*z^2)/a^12 - (6*z^2)/a^10 - 
   (8*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (9*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12714] -> 
  5*a^2 - 8*a^4 + 6*a^6 - 3*a^8 + a^10 - 4*z^2 + 15*a^2*z^2 - 23*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 5*z^4 + 20*a^2*z^4 - 26*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12715] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 12716] -> 
  -11 - 4/a^4 + 11/a^2 + 7*a^2 - 2*a^4 - 28*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (29*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 29*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (32*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12717] -> 
  3 - a^(-4) + a^(-2) - 4*a^2 + 3*a^4 - a^6 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 12718] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12719] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   8*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12720] -> 
  1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + 3*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   15*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 14*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 12721] -> 
  1 + 3*a^2 - 7*a^4 + 6*a^6 - 3*a^8 + a^10 + z^2 - z^2/a^2 + 5*a^2*z^2 - 
   15*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 12*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 12722] -> -4 + a^(-4) + a^(-2) + 4*a^2 - a^4 - a^6 + 
   a^8 - 5*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   4*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 12723] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12724] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 - z^2/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (10*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12725] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 12726] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 12727] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12728] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   6*z^2 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 12729] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 8*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 12730] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^8 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 12731] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   z^2 - a^2*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 5*a^2*z^4 - 
   a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 12732] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - a^2*z^2 - 
   8*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 12733] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 3*z^2 - (3*z^2)/a^2 + 7*a^2*z^2 - 
   12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12734] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (20*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (28*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12735] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 22*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12736] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 
   22*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (29*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12737] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 12738] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 12739] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12740] -> -4 + a^(-4) + a^(-2) + 5*a^2 - 4*a^4 + 
   2*a^6 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 12741] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 13*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 6*a^2*z^4 - 
   2*a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 12742] -> 
  2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12743] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 28*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12744] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 12745] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 
   2*a^6 - 11*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 12746] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 13*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 6*a^2*z^4 - 
   2*a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 12747] -> 
  a^(-4) - 2*a^2 + 3*a^4 - 2*a^6 + a^8 - 2*z^2 - z^2/a^6 - 2*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 12748] -> 
  a^4 + 4*a^6 - 9*a^8 + 9*a^10 - 5*a^12 + a^14 - a^2*z^2 + 6*a^4*z^2 + 
   4*a^6*z^2 - 13*a^8*z^2 + 13*a^10*z^2 - 4*a^12*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 + a^6*z^4 - 10*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 12749] -> 
  -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 30*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (30*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (34*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12750] -> 
  -3 + a^(-4) + a^(-2) + 2*a^2 - a^6 + a^8 - 5*z^2 - z^2/a^6 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 12751] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12752] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 12753] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   30*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (30*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 31*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12754] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 
   14*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 
   20*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 - 4*z^6 + 13*a^2*z^6 - 5*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 12755] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 
   z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 + 
   6*a^2*z^4 - 18*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12756] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12757] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (7*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12758] -> 
  4 - 9*a^2 + 9*a^4 - 3*a^6 + 16*z^2 - 48*a^2*z^2 + 45*a^4*z^2 - 13*a^6*z^2 + 
   29*z^4 - 90*a^2*z^4 + 74*a^4*z^4 - 16*a^6*z^4 + 23*z^6 - 82*a^2*z^6 + 
   53*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 40*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + 
   z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 12759] -> 1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 - 4*z^2 + 
   (4*z^2)/a^2 - 15*a^2*z^2 + 21*a^4*z^2 - 7*a^6*z^2 - 12*z^4 + (8*z^4)/a^2 - 
   18*a^2*z^4 + 25*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 14*a^2*z^6 + 
   12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 12760] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 
   11*z^2 + (5*z^2)/a^2 - 2*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 17*z^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 12761] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12762] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12763] -> 4 - 8*a^2 + 7*a^4 - 2*a^6 + 11*z^2 - 
   28*a^2*z^2 + 16*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 12*z^4 - 33*a^2*z^4 + 
   7*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 6*z^6 - 20*a^2*z^6 - 5*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 12764] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 - 3*z^2 + (3*z^2)/a^2 - 9*a^2*z^2 + 
   7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 12765] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 + (3*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^8*z^2 - 
   5*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12766] -> 4 - 3/a^6 + 9/a^4 - 9/a^2 + 14*z^2 - 
   (15*z^2)/a^6 + (47*z^2)/a^4 - (46*z^2)/a^2 + 16*z^4 - (29*z^4)/a^6 + 
   (89*z^4)/a^4 - (75*z^4)/a^2 + 7*z^6 - (23*z^6)/a^6 + (82*z^6)/a^4 - 
   (53*z^6)/a^2 + z^8 - (8*z^8)/a^6 + (40*z^8)/a^4 - (17*z^8)/a^2 - 
   z^10/a^6 + (10*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 12767] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 6*z^2 - 
   (9*z^2)/a^6 + (23*z^2)/a^4 - (13*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (12*z^4)/a^6 + (30*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (6*z^6)/a^6 + (20*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12768] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   13*z^2 - (6*z^2)/a^6 + (12*z^2)/a^4 + 5*a^2*z^2 - 18*z^4 - (9*z^4)/a^6 + 
   (19*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12769] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 12770] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12771] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 10*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 12772] -> 
  a^(-8) - a^(-6) + a^2 - 5*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12773] -> 2 + a^(-4) - a^(-2) - 4*a^2 + 4*a^4 - a^6 + 
   5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 12774] -> -2 + a^(-8) - a^(-6) + a^(-2) + 
   2*a^2 - 5*z^2 - (2*z^2)/a^6 + z^2/a^4 + a^4*z^2 - 3*z^4 - z^4/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 12775] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 12776] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + a^4 + 
   3*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (5*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 12777] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 4*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 
   5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12778] -> 
  -2 + a^(-6) - 2/a^4 + 2/a^2 + 3*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12779] -> 
  1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12780] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 8*z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 12781] -> -4 + a^(-6) - 2/a^4 + 3/a^2 + 4*a^2 - a^4 - 
   7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12782] -> 1 + a^(-10) - 2/a^8 + a^(-6) + z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 12783] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 + z^2/a^4 - a^2*z^2 + 3*a^4*z^2 - a^8*z^2 - 
   4*z^4 + z^4/a^4 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 12784] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (17*z^2)/a^8 + (18*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 
   (2*z^4)/a^10 - (12*z^4)/a^8 + (16*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + z^6/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12785] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (5*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12786] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 14*z^4 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + 
   (5*z^6)/a^4 - (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12787] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 12788] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12789] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 12790] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + z^2/a^4 + z^2/a^2 + 11*a^2*z^2 - 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 12791] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 12792] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (2*z^4)/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12793] -> 1 + 2*z^2 + z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12794] -> -5 + 3/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (7*z^4)/a^6 + 
   (9*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (5*z^6)/a^6 + 
   (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12795] -> 
  -1 + a^(-4) + a^4 - 6*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 12796] -> 
  -2 + a^(-6) - 2/a^4 + 2/a^2 + 3*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12797] -> 
  -4 + a^(-6) - 2/a^4 + 3/a^2 + 4*a^2 - a^4 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 12798] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12799] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12800] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12801] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12802] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 7*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (23*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 + (2*z^4)/a^6 - (26*z^4)/a^4 + (26*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (7*z^6)/a^6 - (16*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12803] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 + 2*z^2 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 12804] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 
   9*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 - 
   3*a^2*z^2 + 8*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12805] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 12806] -> -a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 3/a^4 + 
   2/a^2 - z^2/a^12 + (9*z^2)/a^10 - (17*z^2)/a^8 + (18*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 + (2*z^4)/a^10 - (12*z^4)/a^8 + (16*z^4)/a^6 - 
   (20*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + z^6/a^8 + (10*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 12807] -> 
  -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 7*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (23*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (26*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (16*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 12808] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12809] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 + 2*z^2 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 12810] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 
   4*a^2 - 26*z^2 + z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 8*a^2*z^2 - 
   27*z^4 - (4*z^4)/a^6 - (2*z^4)/a^4 + (25*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 12811] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - (22*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 12812] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 - z^2/a^10 + (5*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 12813] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12814] -> 2 + a^(-4) - 2/a^2 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 12815] -> 
  -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 - 3*z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^8 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[15, Alternating, 12816] -> 
  2/a^4 - 2/a^2 + a^2 - a^4 + a^6 - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^4 + z^6/a^2 + 
   a^2*z^6, Knot[15, Alternating, 12817] -> -4 + a^(-6) - 2/a^4 + 3/a^2 + 
   4*a^2 - a^4 - 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12818] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12819] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 7*z^2 + 
   (4*z^2)/a^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (4*z^4)/a^2 + 
   9*a^2*z^4 - 13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12820] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12821] -> 
  -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 10*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12822] -> -2 + a^(-2) + 6*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   10*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12823] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12824] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 + 
   z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12825] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 18*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 
   16*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 27*a^2*z^4 - 
   23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12826] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 12827] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12828] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + z^2/a^6 + z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12829] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   9*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   10*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12830] -> 
  -8 + 2/a^6 - 6/a^4 + 9/a^2 + 5*a^2 - a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (20*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - a^6*z^2 - 12*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 12831] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 12832] -> 
  -7 - a^(-4) + 5/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 19*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12833] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (20*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (21*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12834] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 6*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12835] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 12836] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12837] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 4*z^2 - z^2/a^2 - 2*a^2*z^2 - 9*a^4*z^2 + 
   10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 
   11*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 12838] -> 
  -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 12839] -> 1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 - 
   z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 12840] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   z^4 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 12841] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12842] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 22*z^2 + 
   (6*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 27*z^4 + 
   (7*z^4)/a^2 + 31*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 
   17*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12843] -> -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 
   3/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12844] -> -a^(-14) + 3/a^12 - 5/a^10 + 3/a^8 + 
   a^(-4) - z^2/a^14 + (7*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12845] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12846] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 12847] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 13*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12848] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12849] -> -10 + 4/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 
   24*z^2 + (6*z^2)/a^2 + 30*a^2*z^2 - 21*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   22*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 24*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12850] -> 
  4 + 2/a^4 - 4/a^2 - a^2 - a^4 + a^6 + 7*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12851] -> 
  -10 + 4/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 25*z^2 + (6*z^2)/a^2 + 31*a^2*z^2 - 
   20*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 28*z^4 + (7*z^4)/a^2 + 35*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 12852] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12853] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 16*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 - 7*z^4 + 19*a^2*z^4 - 9*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 - 4*z^6 + 13*a^2*z^6 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 12854] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12855] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 12856] -> 
  4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   14*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 12857] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^12 - z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 12858] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12859] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 6*a^2*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12860] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12861] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 12862] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 12863] -> 6 - 2/a^2 - 5*a^2 + 3*a^4 - a^6 + 
   11*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 
   6*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 
   z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 12864] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 12865] -> -2/a^14 + 6/a^12 - 8/a^10 + 3/a^8 + 2/a^6 - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (20*z^2)/a^10 + (5*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (15*z^4)/a^12 - (21*z^4)/a^10 - (5*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12866] -> -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 
   4/a^6 - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12867] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12868] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   z^2 + (5*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12869] -> -a^(-14) + 3/a^12 - 4/a^10 + 
   3/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - (11*z^2)/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (13*z^4)/a^12 - (13*z^4)/a^10 - 
   (12*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12870] -> -a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 3/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (16*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (13*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12871] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 16*z^2 + 
   (5*z^2)/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12872] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12873] -> -3 + a^(-2) + 4*a^2 - a^4 + a^6 - a^8 - 
   8*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 12874] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 12875] -> 
  -7 + 2/a^2 + 11*a^2 - 7*a^4 + 3*a^6 - a^8 - 17*z^2 + (5*z^2)/a^2 + 
   23*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   22*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 12876] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + 
   2*a^4 - a^6 + 7*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 12877] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (10*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (3*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12878] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 + z^4/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 12879] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - z^4/a^10 + z^4/a^8 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 12880] -> a^4 + 2*a^6 - 2*a^8 + 3*z^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 7*z^4 - 14*a^2*z^4 - 
   2*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 7*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 12881] -> 
  2*a^4 - a^8 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12882] -> 3*a^4 - 2*a^6 - 3*z^2 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 12883] -> a^2 + a^4 - a^6 - z^2 + z^2/a^4 - z^2/a^2 + 
   a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 12884] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (25*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - 
   (30*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 12885] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12886] -> 
  -5 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 + 3*a^2 - 11*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 12887] -> 
  a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (20*z^2)/a^6 - (25*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12888] -> -2/a^12 + 7/a^10 - 10/a^8 + 6/a^6 - a^(-4) + 
   a^(-2) - (3*z^2)/a^12 + (17*z^2)/a^10 - (26*z^2)/a^8 + (18*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (30*z^4)/a^8 + 
   (22*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (15*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 12889] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + a^(-2) + z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + z^2/a^2 + z^4 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 12890] -> 
  -3/a^14 + 10/a^12 - 14/a^10 + 7/a^8 + a^(-6) - (7*z^2)/a^14 + 
   (34*z^2)/a^12 - (48*z^2)/a^10 + (22*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^4)/a^14 + (40*z^4)/a^12 - (63*z^4)/a^10 + (15*z^4)/a^8 + 
   (11*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (43*z^6)/a^10 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 12891] -> 
  -2/a^14 + 6/a^12 - 7/a^10 + a^(-8) + 3/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - 
   (14*z^2)/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (13*z^4)/a^10 - (14*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12892] -> 
  -a^(-14) + 2/a^12 - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   z^2/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (5*z^4)/a^10 - (18*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 12893] -> 
  -a^(-14) + 2/a^12 - 5/a^8 + 5/a^6 - z^2/a^14 + (5*z^2)/a^12 + 
   (2*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - (12*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 12894] -> -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - 
   (16*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (21*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12895] -> -14 + 2/a^6 - 7/a^4 + 13/a^2 + 9*a^2 - 
   2*a^4 - 35*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (31*z^2)/a^2 + 19*a^2*z^2 - 
   4*a^4*z^2 - 35*z^4 + z^4/a^6 - (12*z^4)/a^4 + (31*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 12896] -> 
  -5 - 2/a^8 + 9/a^6 - 16/a^4 + 14/a^2 + a^2 - 14*z^2 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (37*z^2)/a^4 + (32*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (35*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12897] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 - a^(-6) + 2/a^4 - z^2/a^14 + 
   (6*z^2)/a^12 - (5*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 12898] -> -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - 
   (16*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (21*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12899] -> -3 - a^(-8) + 5/a^6 - 9/a^4 + 8/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (26*z^2)/a^4 + (22*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (31*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12900] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   z^2/a^10 + (9*z^2)/a^8 - (12*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (10*z^4)/a^8 - (8*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12901] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12902] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 12903] -> 
  1 + a^(-8) - 3/a^6 + 5/a^4 - 4/a^2 + a^2 - 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 12904] -> 4*a^4 - 11*a^6 + 15*a^8 - 7*a^10 + 
   18*a^4*z^2 - 48*a^6*z^2 + 57*a^8*z^2 - 18*a^10*z^2 + 30*a^4*z^4 - 
   89*a^6*z^4 + 81*a^8*z^4 - 17*a^10*z^4 + 23*a^4*z^6 - 82*a^6*z^6 + 
   54*a^8*z^6 - 7*a^10*z^6 + 8*a^4*z^8 - 40*a^6*z^8 + 17*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 12905] -> a^2 - 4*a^6 + 9*a^8 - 5*a^10 + 5*a^2*z^2 - 
   3*a^4*z^2 - 11*a^6*z^2 + 25*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 
   12*a^4*z^4 - 17*a^6*z^4 + 26*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   13*a^4*z^6 - 14*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12906] -> 2*a^2 - 4*a^4 + 3*a^6 + 3*a^8 - 3*a^10 + 
   7*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 9*a^2*z^4 - 
   19*a^4*z^4 - 5*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 9*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12907] -> 2*a^2 - 4*a^4 + 3*a^6 + 3*a^8 - 3*a^10 + 
   z^2 + 4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 
   2*z^4 - 11*a^4*z^4 - a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 12908] -> 1 - 2*a^2 + 3*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 
   3*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 7*a^6*z^2 + 12*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 7*a^2*z^4 + a^4*z^4 - 8*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 12909] -> 3*a^2 - 8*a^4 + 10*a^6 - 3*a^8 - 
   a^10 + 10*a^2*z^2 - 25*a^4*z^2 + 22*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 + 
   12*a^2*z^4 - 31*a^4*z^4 + 10*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 
   6*a^2*z^6 - 20*a^4*z^6 - 5*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   7*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12910] -> 1 - a^2 - a^4 + 4*a^6 - a^8 - a^10 + 3*z^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   4*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 12911] -> 4*a^2 - 12*a^4 + 17*a^6 - 9*a^8 + 
   a^10 + 12*a^2*z^2 - 34*a^4*z^2 + 36*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 + 
   13*a^2*z^4 - 38*a^4*z^4 + 22*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 
   6*a^2*z^6 - 22*a^4*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 12912] -> 2 - 5*a^2 + 6*a^4 - 2*a^6 + a^8 - a^10 + 
   5*z^2 - 12*a^2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 
   4*z^4 - 11*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   5*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 12913] -> -2 + a^(-2) + 2*a^2 + a^8 - 
   a^10 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 
   a^10*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - 
   z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, Knot[15, Alternating, 12914] -> 
  -8 - 4/a^6 + 5/a^4 + 5/a^2 + 3*a^2 - 21*z^2 - (8*z^2)/a^6 + (20*z^2)/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 - (5*z^4)/a^6 + (23*z^4)/a^4 - 
   (5*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (11*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 12915] -> -3 - 4/a^6 + 8/a^4 - 2/a^2 + 2*a^2 - 
   14*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (11*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 12916] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (8*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 12917] -> 3/a^16 - 8/a^14 + 2/a^12 + 
   4/a^10 + (3*z^2)/a^16 - (26*z^2)/a^14 + (19*z^2)/a^12 + (18*z^2)/a^10 - 
   (5*z^4)/a^16 - (19*z^4)/a^14 + (43*z^4)/a^12 + (30*z^4)/a^10 - 
   (5*z^6)/a^16 + (2*z^6)/a^14 + (39*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + 
   (5*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 12918] -> 2/a^16 - 5/a^14 + 3/a^10 + 
   a^(-8) - (11*z^2)/a^14 + (4*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^4)/a^16 - (5*z^4)/a^14 + (15*z^4)/a^12 + (24*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 12919] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (7*z^2)/a^14 - z^2/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - 
   (5*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 12920] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - z^2/a^16 - (4*z^2)/a^14 - 
   z^2/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (6*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 12921] -> a^(-16) - 3/a^14 + a^(-12) + a^(-8) + 
   a^(-6) - z^2/a^16 - (4*z^2)/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + (6*z^4)/a^12 + (9*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 12922] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (8*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 12923] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 12924] -> -2/a^18 + 9/a^16 - 12/a^14 + 6/a^10 - 
   z^2/a^18 + (12*z^2)/a^16 - (34*z^2)/a^14 + (12*z^2)/a^12 + (23*z^2)/a^10 - 
   (28*z^4)/a^14 + (34*z^4)/a^12 + (34*z^4)/a^10 - (4*z^6)/a^16 - 
   (3*z^6)/a^14 + (34*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + 
   (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 12925] -> -a^(-18) + 4/a^16 - 4/a^14 - 3/a^12 + 
   3/a^10 + 2/a^8 + (3*z^2)/a^16 - (11*z^2)/a^14 - (2*z^2)/a^12 + 
   (14*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (11*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 12926] -> a^(-14) - 4/a^12 + a^(-10) + 
   3/a^8 - z^2/a^16 - (2*z^2)/a^14 - (4*z^2)/a^12 + (8*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^4)/a^16 + (6*z^4)/a^12 + (15*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (8*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 12927] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   z^2/a^16 - z^2/a^14 - z^2/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 + (4*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 12928] -> -a^(-18) + 5/a^16 - 7/a^14 - 
   a^(-12) + 4/a^10 + a^(-8) + (4*z^2)/a^16 - (16*z^2)/a^14 + z^2/a^12 + 
   (19*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (12*z^4)/a^14 + (13*z^4)/a^12 + 
   (29*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (14*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 12929] -> -2/a^18 + 9/a^16 - 12/a^14 + 
   6/a^10 - z^2/a^18 + (12*z^2)/a^16 - (34*z^2)/a^14 + (12*z^2)/a^12 + 
   (23*z^2)/a^10 - (28*z^4)/a^14 + (34*z^4)/a^12 + (34*z^4)/a^10 - 
   (4*z^6)/a^16 - (3*z^6)/a^14 + (34*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + 
   (4*z^8)/a^14 + (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 12930] -> -a^(-18) + 4/a^16 - 4/a^14 - 
   3/a^12 + 3/a^10 + 2/a^8 + (3*z^2)/a^16 - (11*z^2)/a^14 - (2*z^2)/a^12 + 
   (14*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (11*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 12931] -> -a^(-16) + 4/a^14 - 6/a^12 + 
   4/a^8 - z^2/a^16 + (2*z^2)/a^14 - (9*z^2)/a^12 + (6*z^2)/a^10 + 
   (12*z^2)/a^8 - (2*z^4)/a^16 + z^4/a^12 + (13*z^4)/a^10 + (13*z^4)/a^8 - 
   z^6/a^16 + (2*z^6)/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 12932] -> -a^(-14) + 2/a^12 - 3/a^10 + a^(-8) + 
   2/a^6 - z^2/a^16 - z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^16 + z^4/a^14 + (4*z^4)/a^12 + (3*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (2*z^6)/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 12933] -> 
  -a^(-14) + a^(-12) - a^(-8) + a^(-6) + a^(-4) - z^2/a^16 + (2*z^2)/a^12 + 
   z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^14 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 12934] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   18*z^2 - z^2/a^8 + (7*z^2)/a^6 - (19*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 
   14*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (29*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (16*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12935] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12936] -> 6 + a^(-6) - a^(-4) - 2/a^2 - 5*a^2 + 
   2*a^4 + 11*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12937] -> 
  -12 + 3/a^6 - 11/a^4 + 17/a^2 + 4*a^2 - 22*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (31*z^2)/a^4 + (37*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (33*z^4)/a^4 + (34*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (16*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12938] -> a^(-6) - a^(-4) + 2*a^2 - 2*a^4 + a^6 - 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 3*a^2*z^2 - 3*a^4*z^2 + 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 12939] -> -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 
   20*z^2 - z^2/a^8 + (5*z^2)/a^6 - (17*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 
   19*z^4 - z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (34*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12940] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 12941] -> 
  -3 + 2/a^2 + 4*a^4 - 2*a^6 - 10*z^2 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   10*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 12*a^4*z^4 - 
   3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 12942] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12943] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 20*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12944] -> 
  -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (8*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^10 + (14*z^4)/a^8 - 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12945] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + 
   z^2 - z^2/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12946] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 12947] -> 
  -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (24*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (30*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12948] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 12949] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 16*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (19*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12950] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 12951] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 12952] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 21*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12953] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12954] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (24*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 12955] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 
   5*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 
   14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12956] -> -2 - a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 + a^2 - 
   4*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12957] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (16*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + 
   (16*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12958] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 18*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12959] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12960] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12961] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (23*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (26*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12962] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   11*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12963] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 27*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 33*z^4 - 
   (6*z^4)/a^4 + (23*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 12964] -> 1 + a^(-6) - 3/a^4 + 3/a^2 - 
   2*a^2 + a^4 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 12965] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12966] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   17*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (23*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (28*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12967] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   21*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (23*z^2)/a^4 + (30*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (28*z^4)/a^4 + 
   (32*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12968] -> 4 + a^(-6) - a^(-4) - a^(-2) - 4*a^2 + 
   2*a^4 + 8*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 
   8*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12969] -> 
  -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 22*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (22*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (36*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12970] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 4*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 
   18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12971] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 12972] -> 
  -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12973] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 12974] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 21*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   25*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 23*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   32*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12975] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12976] -> 
  -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (23*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12977] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 12978] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 12979] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 12980] -> 1 + a^(-6) - a^(-4) - a^4 + a^6 + 
   2*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 12981] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 
   3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 12982] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 12983] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 10*z^2 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 12984] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 
   3*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12985] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12986] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12987] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 12988] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 21*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 12989] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (8*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 12990] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 26*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 24*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 34*z^4 - 
   (5*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 12991] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   8*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12992] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 12993] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 2/a^2 + z^2 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (6*z^4)/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12994] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (13*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 12995] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   z^2 + (7*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 12996] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + 
   (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 12997] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   16*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 12998] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (12*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (10*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 12999] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - 
   a^4 - 15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13000] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 13001] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13002] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   7*z^2 + z^2/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13003] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13004] -> 
  -4 + a^(-2) + 8*a^2 - 6*a^4 + 3*a^6 - a^8 - 16*z^2 + (4*z^2)/a^2 + 
   26*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 24*z^4 + (6*z^4)/a^2 + 
   32*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13005] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13006] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   17*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (23*z^4)/a^4 + 
   (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (15*z^6)/a^4 + 
   (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 13007] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13008] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13009] -> 
  -2 + a^(-6) - 4/a^4 + 6/a^2 - a^2 + a^4 - 9*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (20*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13010] -> 
  -6 + 2/a^6 - 6/a^4 + 8/a^2 + 4*a^2 - a^4 - 18*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (21*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13011] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - 2*z^2 + 12*a^2*z^2 - 23*a^4*z^2 + 
   21*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 28*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13012] -> 
  1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 2/a^2 + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13013] -> -7 + 2/a^2 + 12*a^2 - 9*a^4 + 4*a^6 - a^8 - 
   21*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   27*z^4 + (7*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13014] -> -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 
   7*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 13015] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 5*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 13016] -> a^2 + a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13017] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13018] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13019] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13020] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 13021] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 3*z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13022] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13023] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (10*z^2)/a^4 + z^4 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13024] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13025] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 14*a^2*z^2 - 
   16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13026] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (6*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13027] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 22*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13028] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^4 + a^6 - 3*z^2 - z^2/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (2*z^4)/a^6 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 13029] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13030] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   4*a^2*z^2 - 14*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 24*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13031] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 10*z^2 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (18*z^2)/a^4 - (28*z^2)/a^2 + 6*z^4 - 
   (10*z^4)/a^8 + (14*z^4)/a^6 + (21*z^4)/a^4 - (32*z^4)/a^2 + z^6 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 + (17*z^6)/a^4 - (14*z^6)/a^2 - z^8/a^8 + 
   (7*z^8)/a^6 + (7*z^8)/a^4 - (2*z^8)/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 13032] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 13033] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + (7*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (11*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13034] -> -2 + a^(-4) + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^4 - z^2/a^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 13035] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 13036] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13037] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 11*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13038] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   4*z^2 - z^2/a^8 + z^2/a^4 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 13039] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 14*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - (2*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13040] -> 3 + a^(-6) - 2/a^2 - 3*a^2 + 2*a^4 + z^2 - 
   z^2/a^8 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 13041] -> 
  a^(-6) - a^(-2) + a^2 - a^4 + a^6 - z^2 - z^2/a^8 - (2*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[15, Alternating, 13042] -> 2 - 2*a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 12*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (16*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13043] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 5*z^4 + 12*a^2*z^4 - 9*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13044] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 - z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13045] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 - z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13046] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 - 2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13047] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2 - z^2/a^2 - a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13048] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13049] -> 1 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13050] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 7*z^2 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - 
   z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13051] -> 1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 13052] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13053] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 13054] -> -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 
   5*z^2 - z^2/a^8 + (14*z^2)/a^6 - (30*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (28*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13055] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + z^2/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13056] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 20*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 19*z^4 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13057] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 13058] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 9*z^2 + z^2/a^2 + 25*a^2*z^2 - 
   25*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 
   21*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 13059] -> 
  1 - a^2 + 3*a^4 - 4*a^6 + 3*a^8 - a^10 - a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + z^4/a^2 + 6*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 13060] -> 
  -11 - a^(-4) + 6/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 33*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 27*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 36*z^4 - (6*z^4)/a^4 + 
   (25*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13061] -> -2 + 2/a^2 - a^2 + 4*a^4 - 3*a^6 + a^8 - 
   5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 13062] -> 
  4 - 10*a^2 + 11*a^4 - 4*a^6 + 14*z^2 - 41*a^2*z^2 + 38*a^4*z^2 - 
   10*a^6*z^2 + 22*z^4 - 70*a^2*z^4 + 56*a^4*z^4 - 12*a^6*z^4 + 18*z^6 - 
   64*a^2*z^6 + 42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 13063] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 5*z^2 + 
   (4*z^2)/a^2 - 10*a^2*z^2 + 16*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 13064] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   14*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 20*z^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   3*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 13065] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 13066] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13067] -> 
  a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 2*a^12 - a^4*z^2 + 18*a^6*z^2 - 22*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 26*a^6*z^4 - 
   21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 17*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 13068] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 - 
   a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 4*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13069] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 13070] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 13071] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13072] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 13*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13073] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 13074] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + 
   a^6 - 27*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 24*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 - 34*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13075] -> 
  -4 + a^(-2) + 9*a^2 - 8*a^4 + 4*a^6 - a^8 - 16*z^2 + (4*z^2)/a^2 + 
   26*a^2*z^2 - 20*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 24*z^4 + (6*z^4)/a^2 + 
   32*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13076] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   26*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 
   33*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 13077] -> -5 + 3/a^2 + 3*a^2 + a^4 - 
   2*a^6 + a^8 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13078] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   22*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 
   25*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 13079] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13080] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13081] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + z^4 - 
   (7*z^4)/a^8 + (15*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13082] -> 
  5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 - 3*z^2 + 15*a^2*z^2 - 27*a^4*z^2 + 
   21*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 6*z^4 + 23*a^2*z^4 - 33*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13083] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 8*a^4*z^4 + 
   6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 13084] -> a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 + z^4 - 
   a^2*z^4 - 6*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 13085] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 7/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13086] -> 1 + 2/a^8 - 6/a^6 + 6/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (12*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (6*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 13087] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 13088] -> a^(-12) - 3/a^10 + 3/a^6 - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (16*z^2)/a^10 + (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (32*z^4)/a^10 + z^4/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (30*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 13089] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (7*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (7*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13090] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 - 
   (6*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (7*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13091] -> 
  a^(-12) - 3/a^10 + 2/a^8 + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - 
   (6*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13092] -> 
  a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13093] -> a^(-6) - 2/a^4 + 2/a^2 - a^4 + a^6 + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 13094] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13095] -> -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 6*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13096] -> 
  -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 13097] -> 1 + 3*a^2 - 8*a^4 + 8*a^6 - 4*a^8 + a^10 + 
   z^2 - z^2/a^2 + 7*a^2*z^2 - 20*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 16*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 13098] -> -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 
   17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13099] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13100] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 5*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 13101] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 3*z^2 - z^2/a^2 + 15*a^2*z^2 - 18*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 13102] -> 
  4 - 9*a^2 + 9*a^4 - 3*a^6 + 14*z^2 - 42*a^2*z^2 + 39*a^4*z^2 - 11*a^6*z^2 + 
   24*z^4 - 75*a^2*z^4 + 61*a^4*z^4 - 13*a^6*z^4 + 19*z^6 - 68*a^2*z^6 + 
   44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 13103] -> 
  1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 - 6*z^2 + (4*z^2)/a^2 - 9*a^2*z^2 + 
   15*a^4*z^2 - 5*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 9*a^2*z^4 + 18*a^4*z^4 - 
   4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13104] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 7*z^2 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 
   8*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 13105] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 7*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 13106] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 9*z^2 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 13107] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (4*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 13108] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + a^2*z^2 - 2*a^4*z^2 + 17*a^6*z^2 - 20*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 2*a^2*z^4 - 12*a^4*z^4 + 25*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 11*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 13109] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + z^2 - 2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 13110] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   25*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 
   32*z^4 - (5*z^4)/a^4 + (22*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 13111] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + 
   a^10 - z^2 + 9*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 14*a^2*z^4 - 26*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 13112] -> -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + 
   a^8 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13113] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^2 + z^4 - z^4/a^10 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13114] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (17*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13115] -> -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 
   25*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   31*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 13116] -> -a^(-10) + 3/a^6 - 3/a^4 + 
   2/a^2 - z^2/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13117] -> 1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 
   2/a^2 + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13118] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13119] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13120] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (7*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13121] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13122] -> -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (7*z^2)/a^10 + z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13123] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13124] -> 
  -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13125] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 13126] -> 
  1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13127] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (22*z^4)/a^12 - (21*z^4)/a^10 - (6*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 13128] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (10*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (10*z^4)/a^10 + z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13129] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13130] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13131] -> 3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + z^4/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13132] -> -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13133] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13134] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13135] -> 1 + a^4 - 3*a^6 + 3*a^8 - a^10 + z^2 - 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - z^4 + 2*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 13136] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + 
   a^8 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13137] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13138] -> 1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 
   2*z^2 - (3*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13139] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13140] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + 
   z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13141] -> 1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 2*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + 
   z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13142] -> 2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (12*z^2)/a^10 + (11*z^2)/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13143] -> a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) - z^2/a^14 + (3*z^2)/a^12 - (3*z^2)/a^10 + (4*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13144] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13145] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   2*z^6 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13146] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^2 - a^4 + 
   a^6 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 13147] -> 
  4 - 8*a^2 + 7*a^4 - 2*a^6 + 14*z^2 - 40*a^2*z^2 + 34*a^4*z^2 - 9*a^6*z^2 + 
   22*z^4 - 70*a^2*z^4 + 55*a^4*z^4 - 12*a^6*z^4 + 18*z^6 - 64*a^2*z^6 + 
   42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 13148] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 - 5*z^2 + (4*z^2)/a^2 - 11*a^2*z^2 + 
   15*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (6*z^4)/a^2 - 14*a^2*z^4 + 19*a^4*z^4 - 
   4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13149] -> -2 + 2/a^2 + a^4 - 13*z^2 + (5*z^2)/a^2 + 
   4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 20*z^4 + (8*z^4)/a^2 + 4*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13150] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 13151] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - (12*z^2)/a^10 + (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (31*z^4)/a^10 + z^4/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (30*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 13152] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - 
   (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13153] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (23*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13154] -> -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 
   2/a^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 13155] -> 
  a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 - 
   (7*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (7*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13156] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + z^2/a^4 + z^2/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 14*z^4 + (5*z^4)/a^4 - (5*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13157] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13158] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13159] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13160] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - 
   2*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 13161] -> 
  1 + 2/a^8 - 6/a^6 + 6/a^4 - 2/a^2 + 2*z^2 - z^2/a^10 + (7*z^2)/a^8 - 
   (13*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 13162] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-6) - a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - (6*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13163] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13164] -> 3 - 5*a^2 + 4*a^4 - a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13165] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13166] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 13167] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 13168] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (6*z^4)/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13169] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2/a^8 + z^2/a^2 + z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13170] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 - z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13171] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 13172] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 - 6*z^2 - z^2/a^4 + z^2/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13173] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 2*z^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13174] -> 3 - 5*a^2 + 4*a^4 - a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13175] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 4*z^2 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13176] -> 2 - 2*a^2 + a^4 - 3*z^2 + 8*a^2*z^2 - 
   10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^2 + 20*a^2*z^4 - 
   18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13177] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 7*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13178] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13179] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13180] -> 2 + a^(-4) - 2/a^2 + z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13181] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 13182] -> 
  -1 - a^(-6) + 2/a^4 + a^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 13183] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13184] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 4*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 13185] -> 2 + a^(-4) - 2/a^2 - 4*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13186] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 + z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13187] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13188] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13189] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 8*a^2*z^4 + 22*a^4*z^4 - 24*a^6*z^4 + 
   7*a^8*z^4 - 12*a^2*z^6 + 37*a^4*z^6 - 29*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 13190] -> 1 + z^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 8*a^4*z^4 - 11*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13191] -> 2 + a^(-4) - 2/a^2 - 5*z^2 + z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13192] -> 1 - a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - z^4 + 6*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 
   5*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13193] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 6*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13194] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13195] -> 3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13196] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 13197] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + 
   a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13198] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   8*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13199] -> 
  1 - a^2 + 2*a^4 - a^6 - 6*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 13200] -> 
  7 + a^(-4) - 4/a^2 - 4*a^2 + a^4 + 14*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 - 
   5*a^2*z^2 + 10*z^4 + (6*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13201] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13202] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 12*z^2 - 
   (4*z^2)/a^2 - 16*a^2*z^2 + 5*a^4*z^2 + 36*z^4 - (12*z^4)/a^2 - 
   33*a^2*z^4 + 8*a^4*z^4 + 43*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 13203] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13204] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13205] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13206] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13207] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13208] -> -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 + z^2 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (10*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13209] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + 
   (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 13210] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 24*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (21*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13211] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^2*z^2 - 5*a^4*z^2 + 
   12*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 
   14*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 13212] -> 1 + 3*a^2 - 8*a^4 + 8*a^6 - 
   4*a^8 + a^10 - z^2/a^2 + 9*a^2*z^2 - 21*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 + 2*z^6 - 
   z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 13213] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13214] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13215] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13216] -> -5 + a^(-4) + a^(-2) + 6*a^2 - 2*a^4 - a^6 + 
   a^8 - 11*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 9*a^2*z^2 - 4*a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - 
   (2*z^6)/a^2 - 2*a^2*z^6, Knot[15, Alternating, 13217] -> 
  -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 23*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   22*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13218] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   5*z^2 + z^2/a^2 + 14*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13219] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 + (7*z^2)/a^6 - (16*z^2)/a^4 + 
   (11*z^2)/a^2 + z^4/a^8 + (3*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13220] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + (2*z^2)/a^4 + z^2/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 16*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13221] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   3*z^2 - z^2/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13222] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + 
   (4*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 13223] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + 
   a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13224] -> 6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 13*z^2 + 
   (4*z^2)/a^4 - (14*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + (6*z^4)/a^4 - 
   (17*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 13225] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 13226] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13227] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 + z^2/a^6 - z^2/a^4 + 6*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 13228] -> 
  4 - 10*a^2 + 11*a^4 - 4*a^6 + 14*z^2 - 43*a^2*z^2 + 42*a^4*z^2 - 
   12*a^6*z^2 + 24*z^4 - 75*a^2*z^4 + 62*a^4*z^4 - 13*a^6*z^4 + 19*z^6 - 
   68*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 13229] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 7*z^2 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 
   8*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 13230] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13231] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13232] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 13233] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 13234] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (7*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13235] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13236] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13237] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - 
   (16*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13238] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^12 - (5*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - 
   z^4/a^10 - (8*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13239] -> 
  a^(-14) - 2/a^12 + a^(-10) - 3/a^8 + 4/a^6 - (3*z^2)/a^14 + (8*z^2)/a^12 - 
   (7*z^2)/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (22*z^4)/a^12 - 
   (22*z^4)/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (25*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 13240] -> 2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (11*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 + z^4/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13241] -> a^(-12) - 2/a^10 - a^(-8) + 3/a^6 - a^(-4) + 
   a^(-2) - z^2/a^14 + (3*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13242] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - (9*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13243] -> a^(-4) - a^(-2) + a^2 + 4*z^2 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 5*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 13244] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + 
   a^4 + 8*z^2 + z^2/a^6 - (8*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13245] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 - 
   z^4/a^14 + (10*z^4)/a^12 - (2*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13246] -> 1 + z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 + 
   z^4 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13247] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - 
   z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13248] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 - 
   (4*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13249] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + 
   (5*z^4)/a^8 - (13*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13250] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13251] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   (5*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13252] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13253] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13254] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 
   11*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - 6*z^4 + 15*a^2*z^4 - 12*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13255] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 
   8*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 13*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (21*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13256] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13257] -> 2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 13258] -> 
  a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (8*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13259] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 - 
   z^4/a^14 + (9*z^4)/a^12 - (4*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13260] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 + (5*z^2)/a^4 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13261] -> 3 + a^(-6) - 2/a^4 + a^(-2) - 4*a^2 + 
   2*a^4 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13262] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 13263] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 10*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^2 + 19*a^2*z^4 - 21*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13264] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13265] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13266] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13267] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^2 + 
   16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 13268] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 
   2*a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^4 - z^4/a^2 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13269] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 8*z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13270] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13271] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 8*z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13272] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 25*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (27*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (26*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13273] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 5*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 13274] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13275] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 19*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 17*z^4 + z^4/a^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 13276] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   8*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   z^4/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13277] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13278] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13279] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 14*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13280] -> -1 + 4*a^2 - 2*a^4 + z^2/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 13281] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13282] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13283] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 13284] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13285] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13286] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 10*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (24*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + 
   (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13287] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (6*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - 
   z^4/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13288] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - (21*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 13289] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13290] -> -5 + 14*a^2 - 10*a^4 + 2*a^6 - 10*z^2 + 
   z^2/a^2 + 27*a^2*z^2 - 19*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13291] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 13292] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (6*z^2)/a^10 + z^2/a^8 + 
   (12*z^2)/a^6 - (3*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + (21*z^4)/a^8 + 
   (12*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (25*z^6)/a^8 + 
   (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 13293] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 - (5*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13294] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (16*z^4)/a^10 + (13*z^4)/a^8 + (17*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (21*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 13295] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 + z^2/a^12 - (5*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13296] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   z^2 + z^2/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^2 - 
   z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 13297] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13298] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13299] -> -8 + 2/a^2 + 12*a^2 - 5*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^2 + 
   16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 13300] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13301] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 12*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13302] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 8*z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13303] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 25*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (27*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (26*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13304] -> 2 - a^(-10) + 5/a^6 - 5/a^4 + 
   3*z^2 - z^2/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13305] -> 
  -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 13306] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - (3*z^2)/a^14 + (9*z^2)/a^12 - 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13307] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + a^(-6) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - 
   (2*z^2)/a^10 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13308] -> 
  2 - a^(-10) + 5/a^6 - 5/a^4 + 2*z^2 + z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 13309] -> -2/a^14 + 6/a^12 - 6/a^10 + 2/a^6 + a^(-4) - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (9*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (13*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13310] -> -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - (6*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (8*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13311] -> 4 - 10*a^2 + 8*a^4 + 2*a^6 - 3*a^8 + 
   13*z^2 - 31*a^2*z^2 + 14*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 13*z^4 - 
   36*a^2*z^4 + 4*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 21*a^2*z^6 - 
   6*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 13312] -> 
  a^(-2) - 4*a^2 + 5*a^4 + a^6 - 2*a^8 - 3*z^2 + (4*z^2)/a^2 - 11*a^2*z^2 + 
   10*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 12*a^2*z^4 + 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13313] -> 
  -4 + 2/a^2 + 2*a^2 + 2*a^4 - a^8 - 9*z^2 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   9*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 
   7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 - 7*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13314] -> 
  2 + a^(-4) - 2/a^2 - a^2 + a^4 + a^6 - a^8 - z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 13315] -> 
  -7 + 4/a^2 + 4*a^2 + a^4 - 2*a^6 + a^8 - 11*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 13316] -> 
  -1 + 2/a^4 - 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 3*z^2 - z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + (2*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 13317] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   (3*z^2)/a^14 + (9*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13318] -> -7 + 4/a^2 + 4*a^2 + a^4 - 2*a^6 + a^8 - 
   11*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 
   4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13319] -> 2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 
   3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13320] -> 2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 
   2/a^2 + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13321] -> 
  a^(-10) - 2/a^8 + a^(-6) + a^(-4) - a^(-2) + a^2 - z^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 13322] -> 
  -3 + 2/a^2 + 3*a^4 - a^8 - 7*z^2 + (4*z^2)/a^2 - 5*a^2*z^2 + 9*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13323] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13324] -> -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^2 + 
   a^4 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 13325] -> 1 - 2/a^10 + 4/a^8 - 4/a^4 + 
   2/a^2 + 3*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13326] -> 
  2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 13327] -> 
  1 - a^(-8) + 4/a^6 - 4/a^4 + a^(-2) - a^2 + a^4 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13328] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 4*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13329] -> -a^(-10) + 2/a^8 - a^(-4) + a^2 - z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 13330] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + 2*a^8 - a^10 - 7*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 13331] -> 
  1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 13332] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (6*z^4)/a^10 - 
   (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 13333] -> 4 - 9*a^2 + 6*a^4 + 3*a^6 - 
   3*a^8 + 12*z^2 - 30*a^2*z^2 + 14*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 
   13*z^4 - 35*a^2*z^4 + 5*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 
   21*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 13334] -> 1 + a^(-2) - 6*a^2 + 6*a^4 + a^6 - 2*a^8 - 
   2*z^2 + (3*z^2)/a^2 - 11*a^2*z^2 + 9*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 13335] -> a^(-2) - 3*a^2 + 3*a^4 + 2*a^6 - 
   2*a^8 - 5*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 9*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 - 6*z^4 + (4*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 - 8*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13336] -> 
  -3 + 2/a^2 + 3*a^4 - a^8 - 6*z^2 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 13337] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 - z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13338] -> 
  1 - a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - a^(-2) + 2*z^2 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13339] -> -2 + 2/a^2 - 3*a^2 + 6*a^4 - a^6 - a^8 - 
   4*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 9*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 13340] -> 2 + a^(-10) - 4/a^8 + 5/a^6 - a^(-4) - 
   2/a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 13341] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + 2*a^8 - a^10 - 7*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 13342] -> 
  -a^(-10) + 2/a^8 - a^(-4) + a^2 - z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 13343] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 8*z^2 + 
   (2*z^2)/a^4 + 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 13344] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 13345] -> 
  -2 + 2/a^2 - 3*a^2 + 6*a^4 - a^6 - a^8 - 4*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 
   9*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13346] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13347] -> -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 + 
   a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 13348] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   2*a^4 - a^6 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 13349] -> 1 + 2/a^6 - 5/a^4 + 4/a^2 - 
   2*a^2 + a^4 + z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 13350] -> 
  -1 + 2/a^6 - 4/a^4 + 4/a^2 - 2*a^2 + 2*a^4 - z^2/a^8 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13351] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 
   3/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13352] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 4/a^2 - 3*a^2 + 2*a^4 + 3*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13353] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 13354] -> 2 + 2/a^6 - 3/a^4 + a^(-2) - 
   2*a^2 + a^6 + 4*z^2 - z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 13355] -> 
  -4 + a^(-2) + 9*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 17*z^2 + (4*z^2)/a^2 + 
   30*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 
   35*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13356] -> -2 + a^(-2) + 3*a^2 - a^4 - a^6 + 2*a^8 - 
   a^10 - 6*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 
   4*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 - 
   3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 13357] -> 2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 23*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 13358] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 20*z^2 + (5*z^2)/a^2 + 
   29*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   33*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 13359] -> 2 + a^(-4) - 2/a^2 + a^2 - 
   3*a^4 + 3*a^6 - a^8 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13360] -> 
  5*a^6 - 8*a^8 + 9*a^10 - 7*a^12 + 2*a^14 - 2*a^4*z^2 + 20*a^6*z^2 - 
   27*a^8*z^2 + 26*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 - 5*a^4*z^4 + 
   27*a^6*z^4 - 33*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 4*a^4*z^6 + 
   17*a^6*z^6 - 19*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 13361] -> 2*a^4 - a^6 + 2*a^10 - 3*a^12 + 
   a^14 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 7*a^10*z^2 - 
   4*a^12*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + 6*a^10*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 13362] -> -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 
   3*z^2 + 12*a^2*z^2 - 16*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 17*a^2*z^4 - 23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 13363] -> 2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 
   4*a^10 - a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 23*a^6*z^4 - 17*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 13364] -> 
  -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 3*z^2 + 12*a^2*z^2 - 
   16*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 
   23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13365] -> 2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 + 
   z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 13366] -> 
  4 - 8*a^2 + 4*a^4 + 4*a^6 - 3*a^8 + 11*z^2 - 28*a^2*z^2 + 12*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + 12*z^4 - 33*a^2*z^4 + 6*a^4*z^4 + 19*a^6*z^4 - 
   5*a^8*z^4 + 6*z^6 - 20*a^2*z^6 - 5*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 13367] -> 1 + a^(-2) - 5*a^2 + 4*a^4 + 2*a^6 - 2*a^8 - 
   3*z^2 + (3*z^2)/a^2 - 10*a^2*z^2 + 9*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 13368] -> -2 + 2/a^2 - 2*a^2 + 4*a^4 - 
   a^8 - 6*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 13369] -> -3/a^10 + 8/a^8 - 5/a^6 - 3/a^4 + 
   4/a^2 - (8*z^2)/a^10 + (27*z^2)/a^8 - (17*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - (11*z^4)/a^10 + (30*z^4)/a^8 - (13*z^4)/a^6 - 
   (21*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^10 + (19*z^6)/a^8 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 13370] -> 
  1 - 2/a^10 + 5/a^8 - 2/a^6 - 3/a^4 + 2/a^2 + 3*z^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 - (12*z^2)/a^4 + z^2/a^2 + z^4 - (4*z^4)/a^10 + (7*z^4)/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13371] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   3*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13372] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 13373] -> a^(-8) - a^(-6) - a^(-4) + 2/a^2 - a^2 + 
   a^4 - 3*z^2 - (2*z^2)/a^6 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 13374] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 + z^2/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 13375] -> -a^(-10) + 3/a^8 - 2/a^6 + a^2 - z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 13376] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 13377] -> 
  a^(-10) - 2/a^8 + 3/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 13378] -> -2 + 2/a^2 - 2*a^2 + 4*a^4 - a^8 - 5*z^2 + 
   z^2/a^4 - a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 13379] -> 2 - a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + 
   2/a^4 - 3/a^2 + 3*z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13380] -> -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 8*z^2 + 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 13381] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 
   3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 13382] -> 
  3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 4*z^2 - z^2/a^10 + (7*z^2)/a^6 - 
   (6*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + z^4/a^8 + (9*z^4)/a^6 - 
   (4*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13383] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 - z^2/a^10 + 
   (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 13384] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 13385] -> 
  2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13386] -> a^(-10) - 2/a^8 + 3/a^4 - 2/a^2 + a^2 - 
   z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 13387] -> 
  5 - 2/a^8 + 6/a^6 - 6/a^4 - 2*a^2 + 9*z^2 + (7*z^2)/a^6 - (11*z^2)/a^4 - 
   3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13388] -> 
  4 + a^(-10) - 4/a^8 + 7/a^6 - 3/a^4 - 4/a^2 + 4*z^2 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (10*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13389] -> -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 
   2*a^2 - 4*z^2 - z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 13390] -> -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 
   2*z^2 - z^2/a^10 - z^2/a^4 - 2*a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2, Knot[15, Alternating, 13391] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + 5*a^2*z^2 - 15*a^4*z^2 + 
   26*a^6*z^2 - 20*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 24*a^4*z^4 + 
   32*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 
   18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 13392] -> 1 - a^2 + a^4 + 2*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 + 4*a^10*z^2 + 
   2*z^4 - 6*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13393] -> 
  -7 + a^(-6) - 4/a^4 + 7/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (22*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (29*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13394] -> 
  4*a^6 - 6*a^8 + 8*a^10 - 7*a^12 + 2*a^14 - a^4*z^2 + 16*a^6*z^2 - 
   21*a^8*z^2 + 24*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 - 4*a^4*z^4 + 
   24*a^6*z^4 - 30*a^8*z^4 + 23*a^10*z^4 - 4*a^12*z^4 - 4*a^4*z^6 + 
   16*a^6*z^6 - 19*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 6*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 13395] -> a^4 + a^6 - a^8 + 2*a^10 - 
   3*a^12 + a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 7*a^10*z^2 - 
   4*a^12*z^2 - a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + 6*a^10*z^4 - 
   a^2*z^6 + 2*a^4*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 13396] -> -2 + 8*a^2 - 12*a^4 + 14*a^6 - 9*a^8 + 
   2*a^10 - 6*z^2 + 24*a^2*z^2 - 34*a^4*z^2 + 31*a^6*z^2 - 12*a^8*z^2 + 
   a^10*z^2 - 7*z^4 + 29*a^2*z^4 - 37*a^4*z^4 + 23*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 18*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13397] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^4 - a^6 - 3*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 13398] -> 
  -4 + 2/a^2 + 2*a^2 + 2*a^4 - a^8 - 9*z^2 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   9*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 
   7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 - 7*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13399] -> 
  -7 + 4/a^2 + 4*a^2 + a^4 - 2*a^6 + a^8 - 11*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 13400] -> 
  2 - a^(-10) + 5/a^6 - 5/a^4 + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13401] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 
   4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13402] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 
   4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13403] -> 2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13404] -> -3 - 2/a^8 + 4/a^6 - 6/a^4 + 8/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13405] -> 1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 
   3*z^2 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13406] -> -4 + a^(-10) - 5/a^8 + 9/a^6 - 12/a^4 + 
   12/a^2 - 8*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (25*z^2)/a^4 + 
   (26*z^2)/a^2 - 5*z^4 - z^4/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + 
   (24*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 13407] -> 
  5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 9*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (10*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13408] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 13409] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (6*z^4)/a^10 - 
   (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 13410] -> -a^(-14) + 3/a^12 - 4/a^10 + 
   2/a^8 + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13411] -> 
  2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 4*z^2 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13412] -> 
  2 + a^(-10) - 2/a^8 + a^(-6) + a^(-4) - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13413] -> 1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + 
   z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 13414] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 8*z^2 + 
   (2*z^2)/a^4 + 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 13415] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 13416] -> -2 + 2/a^2 - 3*a^2 + 6*a^4 - 
   a^6 - a^8 - 4*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 9*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 13417] -> -a^(-14) + 2/a^12 - a^(-10) - 
   a^(-8) + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13418] -> 
  1 - a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - a^(-2) + 2*z^2 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13419] -> 1 + 2/a^6 - 5/a^4 + 4/a^2 - 2*a^2 + a^4 + 
   z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 13420] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 
   3/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13421] -> 
  3 - a^(-8) + 4/a^6 - 5/a^4 + a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13422] -> 4 - 9*a^2 + 6*a^4 + 3*a^6 - 3*a^8 + 12*z^2 - 
   30*a^2*z^2 + 14*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 13*z^4 - 35*a^2*z^4 + 
   5*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 21*a^2*z^6 - 6*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 13423] -> 
  1 + a^(-2) - 6*a^2 + 6*a^4 + a^6 - 2*a^8 - 2*z^2 + (3*z^2)/a^2 - 
   11*a^2*z^2 + 9*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   11*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 13424] -> 2 - a^(-10) + 5/a^6 - 5/a^4 + 2*z^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 13425] -> 
  -2 + 2/a^2 - 3*a^2 + 6*a^4 - a^6 - a^8 - 4*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 
   9*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13426] -> 
  -7 + 4/a^2 + 4*a^2 + a^4 - 2*a^6 + a^8 - 11*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 13427] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 20*z^2 + (5*z^2)/a^2 + 
   29*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   33*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 13428] -> -4 + a^(-2) + 9*a^2 - 9*a^4 + 
   6*a^6 - 2*a^8 - 17*z^2 + (4*z^2)/a^2 + 30*a^2*z^2 - 25*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 35*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 13429] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 
   18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 
   23*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 13430] -> 5*a^6 - 8*a^8 + 9*a^10 - 7*a^12 + 2*a^14 - 
   2*a^4*z^2 + 20*a^6*z^2 - 27*a^8*z^2 + 26*a^10*z^2 - 12*a^12*z^2 + 
   a^14*z^2 - 5*a^4*z^4 + 27*a^6*z^4 - 33*a^8*z^4 + 23*a^10*z^4 - 
   4*a^12*z^4 - 4*a^4*z^6 + 17*a^6*z^6 - 19*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 
   6*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 13431] -> 
  -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 3*z^2 + 12*a^2*z^2 - 
   16*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 
   23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13432] -> 2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 23*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 13433] -> 
  -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 3*z^2 + 12*a^2*z^2 - 
   16*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 
   23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13434] -> -a^(-14) + 3/a^12 - 3/a^10 + a^(-6) + 
   a^(-2) - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13435] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   (3*z^2)/a^14 + (9*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13436] -> -2/a^14 + 6/a^12 - 6/a^10 + 2/a^6 + a^(-4) - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (9*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (13*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13437] -> -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - (6*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (8*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13438] -> 4 - 10*a^2 + 8*a^4 + 2*a^6 - 3*a^8 + 
   13*z^2 - 31*a^2*z^2 + 14*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 13*z^4 - 
   36*a^2*z^4 + 4*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 21*a^2*z^6 - 
   6*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 13439] -> 
  a^(-2) - 4*a^2 + 5*a^4 + a^6 - 2*a^8 - 3*z^2 + (4*z^2)/a^2 - 11*a^2*z^2 + 
   10*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 12*a^2*z^4 + 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13440] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - (3*z^2)/a^14 + (9*z^2)/a^12 - 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13441] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - (2*z^2)/a^10 + (15*z^2)/a^6 - 
   (20*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 + (6*z^4)/a^6 - 
   (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 13442] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13443] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (6*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (3*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13444] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13445] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + 
   (4*z^4)/a^4 - (10*z^4)/a^2 + 23*a^2*z^4 - 8*a^4*z^4 + z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 13446] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 13447] -> 
  -1 + a^(-2) + a^2 - z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 2*a^2*z^2 - a^4*z^2 + 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13448] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 13449] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 
   3/a^2 - (2*z^2)/a^10 + (15*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 + (6*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13450] -> 2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13451] -> 24 + 3/a^4 - 16/a^2 - 10*a^2 + 88*z^2 + 
   (12*z^2)/a^4 - (60*z^2)/a^2 - 33*a^2*z^2 + 130*z^4 + (13*z^4)/a^4 - 
   (80*z^4)/a^2 - 42*a^2*z^4 + 100*z^6 + (6*z^6)/a^4 - (51*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 13452] -> 
  4 + a^(-4) - 5/a^2 + 5*a^2 - 4*a^4 + 11*z^2 + (4*z^2)/a^4 - (17*z^2)/a^2 + 
   20*a^2*z^2 - 12*a^4*z^2 + 17*z^4 + (4*z^4)/a^4 - (21*z^4)/a^2 + 
   29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (11*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13453] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 39*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 - (11*z^2)/a^2 - 17*a^2*z^2 + 41*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 13454] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 10*z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 14*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 13455] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 14*z^2 - z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 + 
   3*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 22*z^6 + (4*z^6)/a^4 - 
   (20*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 13456] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 6*z^2 + (2*z^2)/a^4 + 2*a^2*z^2 + 
   2*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 6*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 13457] -> 
  19 + 2/a^4 - 12/a^2 - 8*a^2 + 73*z^2 + (9*z^2)/a^4 - (48*z^2)/a^2 - 
   28*a^2*z^2 + 116*z^4 + (12*z^4)/a^4 - (71*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + 
   (6*z^6)/a^4 - (49*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 13458] -> 8 + a^(-4) - 6/a^2 - 2*a^4 + 23*z^2 + 
   (4*z^2)/a^4 - (20*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 26*z^4 + 
   (4*z^4)/a^4 - (22*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 16*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 13459] -> 
  -3*a^2 + 15*a^4 - 17*a^6 + 6*a^8 - 13*a^2*z^2 + 56*a^4*z^2 - 66*a^6*z^2 + 
   23*a^8*z^2 - 16*a^2*z^4 + 80*a^4*z^4 - 107*a^6*z^4 + 34*a^8*z^4 - 
   7*a^2*z^6 + 54*a^4*z^6 - 89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 13460] -> -1 + 3*a^2 + 4*a^4 - 9*a^6 + 4*a^8 - 4*z^2 + 
   10*a^2*z^2 + 9*a^4*z^2 - 28*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 16*a^2*z^4 + 
   a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 13461] -> 
  -2 + 9*a^2 - 7*a^4 - a^6 + 2*a^8 - 7*z^2 + 25*a^2*z^2 - 19*a^4*z^2 - 
   8*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 22*a^4*z^4 - 16*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 12*a^2*z^6 - 15*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 13462] -> 4 - a^(-2) - 2*a^2 + a^4 - 3*a^6 + 2*a^8 + 
   9*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 6*a^2*z^4 - a^4*z^4 - 10*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13463] -> 11 - 5/a^2 - 5*a^2 + 33*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (9*z^2)/a^2 - 15*a^2*z^2 + 38*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + z^4/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 13464] -> 
  6 - 3/a^2 - a^2 - a^4 + 12*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 13*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 13465] -> 
  7*a^4 - 10*a^6 + 4*a^8 - 3*z^2 + 6*a^2*z^2 + 14*a^4*z^2 - 31*a^6*z^2 + 
   13*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 4*a^4*z^4 - 36*a^6*z^4 + 13*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 13466] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - z^2/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 10*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13467] -> 4*a^2 - 3*a^4 - 2*a^6 + 2*a^8 + 3*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 11*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13468] -> 2 - a^2 + a^4 - 3*a^6 + 2*a^8 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 13469] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (21*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (4*z^4)/a^6 - (12*z^4)/a^4 + 
   (21*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13470] -> 24 + 3/a^4 - 16/a^2 - 10*a^2 + 88*z^2 + 
   (12*z^2)/a^4 - (60*z^2)/a^2 - 33*a^2*z^2 + 130*z^4 + (13*z^4)/a^4 - 
   (80*z^4)/a^2 - 42*a^2*z^4 + 100*z^6 + (6*z^6)/a^4 - (51*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 13471] -> 
  16 + a^(-4) - 9/a^2 - 7*a^2 + 39*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   (11*z^2)/a^2 - 17*a^2*z^2 + 41*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (2*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 13472] -> 2 - a^(-2) + a^2 - a^4 + 8*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^4 + z^4/a^2 - 
   10*a^2*z^4 + 4*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 9*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13473] -> -5 + 14*a^2 - 10*a^4 + 2*a^6 - 10*z^2 + 
   z^2/a^2 + 24*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13474] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 + z^2 - z^2/a^4 + (2*z^2)/a^2 + 13*z^4 - 
   (5*z^4)/a^6 + (23*z^4)/a^4 - (32*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + 
   (27*z^6)/a^4 - (45*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 13475] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 6*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13476] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - 
   (5*z^2)/a^14 + (24*z^2)/a^12 - (30*z^2)/a^10 + (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (30*z^4)/a^12 - (43*z^4)/a^10 + 
   (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (33*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 13477] -> 
  -a^(-14) + a^(-12) + 3/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 + (4*z^2)/a^10 - (17*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - (21*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13478] -> -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (12*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 13479] -> -4 - 2/a^8 + 5/a^6 - 5/a^4 + 
   5/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (18*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (24*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13480] -> 
  -2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - a^(-2) + 2*a^2 - 5*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13481] -> -4 + 2/a^8 - 10/a^6 + 9/a^4 + 4/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (31*z^2)/a^6 + (37*z^2)/a^4 + (10*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (35*z^4)/a^6 + (54*z^4)/a^4 + (16*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (17*z^6)/a^6 + (39*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13482] -> -2 + a^(-10) - 4/a^8 + a^(-6) + 3/a^4 + 
   2/a^2 - 5*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + (13*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*z^4 + z^4/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + 
   (20*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13483] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (22*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - 
   (19*z^4)/a^10 + (17*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13484] -> -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (12*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 13485] -> a^(-12) - 2/a^10 - 4/a^8 + 
   8/a^6 - 2/a^4 + (3*z^2)/a^12 - (11*z^2)/a^10 + (22*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^4)/a^12 - (19*z^4)/a^10 + (17*z^4)/a^8 + (21*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 13486] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13487] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 - 
   z^2/a^6 + (12*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13488] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   8*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - 
   z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 13489] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (6*z^2)/a^2 + (3*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   (4*z^6)/a^8 - (19*z^6)/a^6 + (23*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - 
   (11*z^8)/a^6 + (19*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 13490] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13491] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13492] -> 
  9 - 2/a^2 - 10*a^2 + 4*a^4 + 36*z^2 - (9*z^2)/a^2 - 45*a^2*z^2 + 
   16*a^4*z^2 + 58*z^4 - (12*z^4)/a^2 - 78*a^2*z^4 + 25*a^4*z^4 + 43*z^6 - 
   (6*z^6)/a^2 - 69*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 13493] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   5*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 8*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 13494] -> 
  7 - a^(-2) - 9*a^2 + 4*a^4 + 15*z^2 - (2*z^2)/a^4 + z^2/a^2 - 27*a^2*z^2 + 
   10*a^4*z^2 + 8*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 29*a^2*z^4 + 10*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13495] -> 2 + a^(-2) - 5*a^2 + 3*a^4 - 3*z^2 - 
   z^2/a^6 + (5*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 13496] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13497] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 3*z^2 + z^2/a^2 - 6*a^2*z^2 + 23*a^4*z^2 - 
   10*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 28*a^4*z^4 - 10*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 4*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13498] -> 
  -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + z^2/a^2 + 3*a^2*z^2 + 10*a^4*z^2 - 
   5*a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 13499] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 17*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 15*a^4*z^4 - 5*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 13500] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13501] -> -4 + 9*a^2 - 3*a^4 - a^6 - 14*z^2 + 
   (2*z^2)/a^2 + 23*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13502] -> 
  4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 10*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   5*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 13503] -> -2*a^2 + 7*a^4 - 4*a^6 - 3*z^2 + z^2/a^2 - 
   6*a^2*z^2 + 23*a^4*z^2 - 10*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   28*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13504] -> -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 
   7*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 13505] -> -1 - 2/a^4 + 4/a^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - a^4*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 13506] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13507] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 3*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 14*z^4 - (4*z^4)/a^6 + (22*z^4)/a^4 - 
   (35*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (46*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 13508] -> 
  -1 - 2/a^4 + 4/a^2 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13509] -> 1 - z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - 
   (9*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (8*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13510] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13511] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 4*z^4 + z^4/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13512] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^6 + z^4/a^4 + (9*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13513] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13514] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (19*z^2)/a^8 - (12*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (29*z^4)/a^8 - (34*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (32*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 13515] -> -a^(-12) + 4/a^8 - 4/a^6 + 
   2/a^2 - (2*z^2)/a^12 + (6*z^2)/a^10 + (8*z^2)/a^8 - (16*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (9*z^4)/a^10 - z^4/a^8 - 
   (23*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 13516] -> -a^(-12) + 2/a^10 - 4/a^4 + 
   4/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (17*z^4)/a^8 + 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 13517] -> 
  -4 + a^(-8) - 6/a^6 + 4/a^4 + 6/a^2 - 12*z^2 + (4*z^2)/a^8 - (23*z^2)/a^6 + 
   (24*z^2)/a^4 + (15*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (45*z^4)/a^4 + (18*z^4)/a^2 - 6*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (37*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 13518] -> 
  -2 - 4/a^6 + 5/a^4 + 2/a^2 - 5*z^2 + z^2/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (18*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (22*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13519] -> 3/a^12 - 8/a^10 + 10/a^6 - 4/a^4 + 
   (6*z^2)/a^12 - (28*z^2)/a^10 + (18*z^2)/a^8 + (25*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^4)/a^12 - (32*z^4)/a^10 + (39*z^4)/a^8 + 
   (26*z^4)/a^6 - (13*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (33*z^6)/a^8 + 
   (16*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 13520] -> 
  2 - a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 3/a^4 + 3*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13521] -> -2*a^4 + 4*a^6 + 7*a^8 - 12*a^10 + 4*a^12 - 
   9*a^4*z^2 + 14*a^6*z^2 + 31*a^8*z^2 - 36*a^10*z^2 + 8*a^12*z^2 - 
   12*a^4*z^4 + 18*a^6*z^4 + 50*a^8*z^4 - 39*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 14*a^6*z^6 + 38*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 13522] -> -a^2 + 2*a^4 + a^6 + 3*a^8 - 6*a^10 + 
   2*a^12 - 4*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 + 12*a^8*z^2 - 15*a^10*z^2 + 
   3*a^12*z^2 - 4*a^2*z^4 + 6*a^4*z^4 + 10*a^6*z^4 + 15*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 9*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 13523] -> -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 
   2*a^2*z^2 - 3*a^4*z^2 + 19*a^6*z^2 + 3*a^8*z^2 - 13*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 22*a^6*z^4 + 8*a^8*z^4 - 11*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 13524] -> 
  -a^2 + 3*a^4 + a^8 - 3*a^10 + a^12 - z^2 - a^2*z^2 + 5*a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 + 5*a^4*z^4 + 
   8*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 13525] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - (16*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 13526] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   2*z^4 - z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 + z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13527] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 + 6*a^4*z^4 - 
   5*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13528] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 13529] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 6*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (15*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 13530] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 + (3*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 13531] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 13532] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   18*z^2 - z^2/a^6 + (12*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 13533] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 11*z^2 - (6*z^2)/a^6 + (24*z^2)/a^4 - 
   (29*z^2)/a^2 + 21*z^4 - (11*z^4)/a^6 + (49*z^4)/a^4 - (64*z^4)/a^2 + 
   18*z^6 - (6*z^6)/a^6 + (41*z^6)/a^4 - (63*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 13534] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   2*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - (16*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (4*z^4)/a^6 + (18*z^4)/a^4 - (17*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (11*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13535] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 13536] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 9*z^2 - z^2/a^8 - z^2/a^6 + (16*z^2)/a^4 - 
   (24*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (9*z^4)/a^4 - 
   (27*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 13537] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + 
   a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13538] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + 
   (5*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13539] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - 
   (15*z^4)/a^10 + (16*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^10 + (21*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13540] -> -a^(-8) + 2/a^4 + z^2/a^12 - (4*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^10 + 
   (5*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13541] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 19*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 13542] -> -4 + 9*a^2 - 3*a^4 - a^6 - 
   11*z^2 + z^2/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + z^4/a^4 - 
   z^4/a^2 + 22*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 13543] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 2*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 13544] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (8*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 13545] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (10*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 13546] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - z^4/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 + 
   9*a^2*z^4 - 16*z^6 - z^6/a^6 + (6*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13547] -> -3 - 2/a^4 + 5/a^2 + a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 18*z^4 + (3*z^4)/a^4 - (16*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + 
   24*z^6 + z^6/a^4 - (14*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 12*z^8 - 
   (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 13548] -> -1 - a^(-6) + 2/a^4 + a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13549] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13550] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13551] -> -a^(-14) + 5/a^12 - 5/a^10 - 4/a^8 + 
   6/a^6 - (4*z^2)/a^14 + (21*z^2)/a^12 - (24*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^4)/a^14 + (31*z^4)/a^12 - (43*z^4)/a^10 - 
   (11*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (36*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 13552] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 3/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (9*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13553] -> -2/a^14 + 7/a^12 - 4/a^10 - 8/a^8 + 8/a^6 - 
   (5*z^2)/a^14 + (24*z^2)/a^12 - (22*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (4*z^4)/a^14 + (30*z^4)/a^12 - (38*z^4)/a^10 - 
   (18*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (32*z^6)/a^10 - 
   (14*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 13554] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 2/a^8 - 2/a^6 + 4/a^4 - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (11*z^4)/a^10 - (11*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13555] -> -a^(-14) + 3/a^12 - 2/a^10 - a^(-6) + 
   2/a^2 - z^2/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 13556] -> -a^4 + 12*a^8 - 14*a^10 + 
   4*a^12 - 6*a^4*z^2 + 2*a^6*z^2 + 46*a^8*z^2 - 41*a^10*z^2 + 8*a^12*z^2 - 
   11*a^4*z^4 + 9*a^6*z^4 + 64*a^8*z^4 - 43*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 12*a^6*z^6 + 44*a^8*z^6 - 19*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 15*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 13557] -> -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 
   a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 + 7*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 24*a^6*z^4 + 11*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 13558] -> 
  3/a^8 - 14/a^6 + 18/a^4 - 6/a^2 + (13*z^2)/a^8 - (53*z^2)/a^6 + 
   (69*z^2)/a^4 - (23*z^2)/a^2 + (16*z^4)/a^8 - (79*z^4)/a^6 + 
   (108*z^4)/a^4 - (34*z^4)/a^2 + (7*z^6)/a^8 - (54*z^6)/a^6 + (89*z^6)/a^4 - 
   (24*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (41*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 13559] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + 
   (7*z^2)/a^8 - (24*z^2)/a^6 + (20*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (26*z^4)/a^6 + (22*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13560] -> -4 + a^(-8) - 2/a^6 - 4/a^4 + 10/a^2 - 
   12*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 - (8*z^2)/a^4 + (29*z^2)/a^2 - 13*z^4 + 
   (4*z^4)/a^8 - (16*z^4)/a^6 - z^4/a^4 + (34*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (7*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13561] -> 4 + a^(-8) - 3/a^6 + 2/a^4 - a^(-2) - 
   2*a^2 + 10*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 10*z^4 + z^4/a^8 - (8*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 13562] -> 
  -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 - 5*a^4*z^2 + 17*a^6*z^2 + 
   9*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   23*a^6*z^4 + 11*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   14*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 13563] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   3*a^2*z^2 + 3*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - 
   z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 13564] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 - (15*z^2)/a^6 + (30*z^2)/a^4 - (10*z^2)/a^2 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 - (7*z^4)/a^6 + (33*z^4)/a^4 - (12*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (5*z^6)/a^6 + (20*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 13565] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13566] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + 
   z^2/a^10 + z^2/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (7*z^4)/a^6 + (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (7*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13567] -> 2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 13568] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 45*z^2 + (9*z^2)/a^4 - (36*z^2)/a^2 - 
   16*a^2*z^2 + 78*z^4 + (12*z^4)/a^4 - (58*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 13569] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 3*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 8*z^4 + 
   (4*z^4)/a^4 - (17*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 13570] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 26*z^2 + (2*z^2)/a^6 - z^2/a^4 - (16*z^2)/a^2 - 
   10*a^2*z^2 + 29*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - (8*z^4)/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 13571] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 7*z^2 + 
   z^2/a^6 - (9*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13572] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13573] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 6*z^2 - 23*a^2*z^2 + 30*a^4*z^2 - 11*a^6*z^2 + 
   11*z^4 - 49*a^2*z^4 + 64*a^4*z^4 - 21*a^6*z^4 + 6*z^6 - 41*a^2*z^6 + 
   63*a^4*z^6 - 18*a^6*z^6 + z^8 - 15*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 13574] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 
   11*a^2*z^2 + 18*a^4*z^2 - 7*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   24*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 3*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13575] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 13576] -> 3 - 7*a^2 + 8*a^4 - 3*a^6 + 2*z^2 + 
   z^2/a^2 - 17*a^2*z^2 + 23*a^4*z^2 - 8*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   10*a^2*z^4 + 26*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13577] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 6*z^2 + (2*z^2)/a^2 - a^2*z^2 + 
   9*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 13578] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (22*z^2)/a^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13579] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 11*z^2 - (6*z^2)/a^6 + (24*z^2)/a^4 - 
   (29*z^2)/a^2 + 21*z^4 - (11*z^4)/a^6 + (49*z^4)/a^4 - (64*z^4)/a^2 + 
   18*z^6 - (6*z^6)/a^6 + (41*z^6)/a^4 - (63*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 13580] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   2*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - (16*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (4*z^4)/a^6 + (18*z^4)/a^4 - (17*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (11*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13581] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 9*z^2 - z^2/a^8 - z^2/a^6 + (16*z^2)/a^4 - 
   (24*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (9*z^4)/a^4 - 
   (27*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 13582] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + 
   a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13583] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 36*z^2 - 
   (9*z^2)/a^2 - 45*a^2*z^2 + 16*a^4*z^2 + 58*z^4 - (12*z^4)/a^2 - 
   78*a^2*z^4 + 25*a^4*z^4 + 43*z^6 - (6*z^6)/a^2 - 69*a^2*z^6 + 19*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 13584] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 5*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 
   13*a^2*z^2 + 7*a^4*z^2 - 8*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 - 20*a^2*z^4 + 
   9*a^4*z^4 - 9*z^6 - z^6/a^4 + (10*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13585] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 15*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 27*a^2*z^2 + 10*a^4*z^2 + 8*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 29*a^2*z^4 + 10*a^4*z^4 - 3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 13586] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 - 3*z^2 - z^2/a^6 + (5*z^2)/a^2 - 9*a^2*z^2 + 
   4*a^4*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 13587] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   10*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13588] -> -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 + 
   8*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 
   11*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13589] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13590] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 17*z^2 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 13591] -> 
  3 - a^(-2) - a^2 - z^2/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 13592] -> 
  4 - a^(-4) - 2*a^2 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 13593] -> 
  1 + 10*z^2 - (2*z^2)/a^6 + (14*z^2)/a^4 - (22*z^2)/a^2 + 23*z^4 - 
   (5*z^4)/a^6 + (35*z^4)/a^4 - (61*z^4)/a^2 + 19*z^6 - (4*z^6)/a^6 + 
   (32*z^6)/a^4 - (65*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 13594] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (13*z^2)/a^4 - (18*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (15*z^4)/a^4 - (22*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (14*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13595] -> 
  -4 - 2/a^8 + 5/a^6 - 5/a^4 + 5/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (24*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13596] -> 
  -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - (5*z^2)/a^14 + (24*z^2)/a^12 - 
   (30*z^2)/a^10 + (4*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (30*z^4)/a^12 - (43*z^4)/a^10 + (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (33*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 13597] -> -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (12*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 13598] -> -4 + 2/a^8 - 10/a^6 + 9/a^4 + 
   4/a^2 - 12*z^2 + (5*z^2)/a^8 - (31*z^2)/a^6 + (37*z^2)/a^4 + 
   (10*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (35*z^4)/a^6 + (54*z^4)/a^4 + 
   (16*z^4)/a^2 - 6*z^6 + z^6/a^8 - (17*z^6)/a^6 + (39*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 13599] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (19*z^4)/a^10 + (17*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 13600] -> 
  -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (6*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - 
   (12*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13601] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (22*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - 
   (19*z^4)/a^10 + (17*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13602] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   8*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 
   a^4*z^4 - 11*a^6*z^4 + 5*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 13603] -> 
  -1 + 3*a^2 - a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13604] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 
   2*a^2 - 18*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + 
   (25*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (26*z^4)/a^4 + (30*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13605] -> 
  3 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 13606] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (19*z^2)/a^6 - (30*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (23*z^4)/a^6 - (34*z^4)/a^4 + (21*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 13607] -> 
  4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 8*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (4*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13608] -> -2 + 6*a^2 - 3*a^4 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 + 20*z^4 - (4*z^4)/a^2 - 26*a^2*z^4 + 11*a^4*z^4 + 25*z^6 - 
   (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 13609] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   13*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13610] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 6*z^2 - 
   23*a^2*z^2 + 30*a^4*z^2 - 11*a^6*z^2 + 11*z^4 - 49*a^2*z^4 + 64*a^4*z^4 - 
   21*a^6*z^4 + 6*z^6 - 41*a^2*z^6 + 63*a^4*z^6 - 18*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 13611] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   z^2/a^2 - 11*a^2*z^2 + 18*a^4*z^2 - 7*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 24*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13612] -> 
  3 - 7*a^2 + 8*a^4 - 3*a^6 + 2*z^2 + z^2/a^2 - 17*a^2*z^2 + 23*a^4*z^2 - 
   8*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 26*a^4*z^4 - 9*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 2*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13613] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 6*z^2 + (2*z^2)/a^2 - a^2*z^2 + 
   9*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 13614] -> 
  -4 + 10*a^2 - 5*a^4 - 9*z^2 + z^2/a^2 + 16*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13615] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 6*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (11*z^2)/a^2 + 17*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - (45*z^4)/a^2 + 
   15*z^6 - (4*z^6)/a^6 + (28*z^6)/a^4 - (51*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 13616] -> 1 - a^(-2) + 2*a^2 - a^6 + 
   3*z^2 - z^2/a^2 - 4*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + z^4/a^2 - 
   8*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13617] -> 
  -2*a^4 + 4*a^6 + 7*a^8 - 12*a^10 + 4*a^12 - 9*a^4*z^2 + 14*a^6*z^2 + 
   31*a^8*z^2 - 36*a^10*z^2 + 8*a^12*z^2 - 12*a^4*z^4 + 18*a^6*z^4 + 
   50*a^8*z^4 - 39*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 14*a^6*z^6 + 
   38*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 13618] -> 
  -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 2*a^2*z^2 - 3*a^4*z^2 + 
   19*a^6*z^2 + 3*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   22*a^6*z^4 + 8*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 13619] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 4*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13620] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   8*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 
   a^4*z^4 - 11*a^6*z^4 + 5*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 13621] -> 
  -1 + 3*a^2 - a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13622] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 
   2*a^2 - 20*z^2 - z^2/a^8 + (8*z^2)/a^6 - (21*z^2)/a^4 + (28*z^2)/a^2 + 
   5*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (34*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 13623] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 7*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (29*z^2)/a^4 + (25*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (33*z^4)/a^4 + (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13624] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 19*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13625] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 6*z^4 - 
   (4*z^4)/a^6 + (14*z^4)/a^4 - (15*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (28*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 13626] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 45*z^2 + 
   (9*z^2)/a^4 - (36*z^2)/a^2 - 16*a^2*z^2 + 78*z^4 + (12*z^4)/a^4 - 
   (58*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 13627] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 3*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + 8*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13628] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 26*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (16*z^2)/a^2 - 10*a^2*z^2 + 29*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (8*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 13629] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 7*z^2 + z^2/a^6 - (9*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 13630] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13631] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 8*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (14*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13632] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 
   18*z^2 + z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13633] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 14*z^2 + (2*z^2)/a^2 + 28*a^2*z^2 - 
   12*a^4*z^2 - 16*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13634] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   19*z^4 - (7*z^4)/a^6 + (34*z^4)/a^4 - (49*z^4)/a^2 + 18*z^6 - 
   (5*z^6)/a^6 + (35*z^6)/a^4 - (60*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 13635] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 
   8*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - (15*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (18*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 13636] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 2*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 + 
   6*z^4 - 30*a^2*z^4 + 53*a^4*z^4 - 20*a^6*z^4 + 5*z^6 - 34*a^2*z^6 + 
   61*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 13637] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 5*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 22*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13638] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 13639] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - 
   a^6 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 16*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13640] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 13641] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 13642] -> 
  2/a^8 - 6/a^6 + 5/a^4 - z^2/a^10 + (5*z^2)/a^8 - (9*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (4*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 13643] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 14*a^4*z^4 - 5*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13644] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13645] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 5*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 
   5*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 13646] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13647] -> -a^(-2) + 5*a^2 - 3*a^4 - 4*z^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 13648] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 8*z^2 + (2*z^2)/a^4 + 
   10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13649] -> -a^(-2) + 5*a^2 - 3*a^4 + 2*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - a^6*z^4 + z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 13650] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^4)/a^10 + (21*z^4)/a^8 - (24*z^4)/a^6 + (10*z^4)/a^4 - (5*z^6)/a^10 + 
   (28*z^6)/a^8 - (38*z^6)/a^6 + (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - 
   (25*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 13651] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 - z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - (9*z^4)/a^6 + (2*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13652] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13653] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (22*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (20*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13654] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 
   6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 13655] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (14*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (21*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 13656] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 13657] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + z^2/a^2 + 12*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13658] -> 
  1 - a^(-2) + 2*a^2 - a^6 - z^2 + 4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 
   3*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 13659] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13660] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13661] -> 1 - a^(-2) + 2*a^2 - a^6 - z^2 + 2*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 15*a^4*z^4 - 6*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13662] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 5*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13663] -> 4 - 2/a^2 - a^4 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 13664] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 5*z^2 - 
   z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 8*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (3*z^4)/a^4 - (17*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 13665] -> 1 + z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 13666] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + z^2 - 3*a^2*z^2 + 10*a^4*z^2 - 
   5*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 17*a^4*z^4 - 8*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 8*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13667] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 13668] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13669] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 + 2*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 13670] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13671] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 7*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13672] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 14*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 13673] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13674] -> 
  -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 13675] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13676] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 13677] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   16*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13678] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 
   19*a^2*z^2 - 26*a^4*z^2 + 10*a^6*z^2 + a^8*z^2 - 8*z^4 + 24*a^2*z^4 - 
   23*a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 16*a^2*z^6 - 4*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 13679] -> 2 - 2*a^2 + a^4 + 7*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 - 5*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 13680] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13681] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 3*z^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13682] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 13683] -> 
  -5 + 3/a^2 + 3*a^2 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13684] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13685] -> 7*a^6 - 10*a^8 + 5*a^10 - a^12 - 4*a^4*z^2 + 
   25*a^6*z^2 - 24*a^8*z^2 + 6*a^10*z^2 + a^12*z^2 - 8*a^4*z^4 + 29*a^6*z^4 - 
   19*a^8*z^4 - 4*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 17*a^6*z^6 - 
   3*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 13686] -> 
  3*a^4 - 2*a^6 - 2*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 + 
   2*a^12*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - 5*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 13687] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 19*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   24*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13688] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13689] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 13690] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13691] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13692] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   8*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13693] -> -4 + a^(-4) + a^(-2) + 5*a^2 - 4*a^4 + 
   2*a^6 - 14*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13694] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 13695] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13696] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13697] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 
   17*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 20*a^4*z^4 + 
   21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 13698] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13699] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 19*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 13*z^4 - (8*z^4)/a^4 + (22*z^4)/a^2 - 11*a^2*z^4 + 
   4*a^4*z^4 + z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 13700] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 8*a^2*z^2 + 2*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 13701] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13702] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13703] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13704] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (4*z^2)/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 13705] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   14*a^2*z^2 - 10*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 17*a^2*z^4 - 
   9*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13706] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + a^4*z^2 - 7*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 13707] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13708] -> 
  2*a^4 - a^8 - a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 13709] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 13710] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13711] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + (3*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13712] -> 3*a^4 - 2*a^6 - a^2*z^2 + 6*a^4*z^2 - 
   3*a^8*z^2 + a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 13713] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13714] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 13715] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^4 + a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13716] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 14*z^2 + 
   (6*z^2)/a^4 - (18*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13717] -> 
  5 - 2/a^2 - 2*a^2 + 12*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 9*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 13718] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   7*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13719] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^4 + 
   z^2/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 13720] -> 
  2 - 2*a^2 + a^4 + 2*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 12*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13721] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13722] -> 
  6 - a^(-6) + 7/a^4 - 11/a^2 + 17*z^2 - (6*z^2)/a^6 + (30*z^2)/a^4 - 
   (45*z^2)/a^2 + 17*z^4 - (17*z^4)/a^6 + (57*z^4)/a^4 - (68*z^4)/a^2 + 
   7*z^6 - (17*z^6)/a^6 + (58*z^6)/a^4 - (48*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (32*z^8)/a^4 - (16*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 13723] -> 3/a^4 - 4/a^2 + 2*a^2 - 6*z^2 - 
   (4*z^2)/a^6 + (14*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   (8*z^4)/a^6 + (20*z^4)/a^4 - (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13724] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 
   21*z^2 - z^2/a^6 + (8*z^2)/a^2 + 8*a^2*z^2 - 23*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13725] -> 
  1 + a^(-6) - a^(-2) - 2*a^2 + 2*a^4 + z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - 
   z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13726] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 - 4*a^4*z^2 + 19*a^6*z^2 - 19*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 13*a^4*z^4 + 26*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 13727] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (17*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13728] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 13729] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   2*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 + 
   a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 13730] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   12*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 13731] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 15*z^2 - (3*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 
   33*z^4 - (9*z^4)/a^2 - 41*a^2*z^4 + 12*a^4*z^4 + 39*z^6 - (12*z^6)/a^2 - 
   36*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 13732] -> 
  2 - 2*a^2 + a^4 + 9*z^2 - (2*z^2)/a^2 - 11*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 
   14*z^4 - (5*z^4)/a^2 - 11*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - 
   (4*z^6)/a^2 - a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 13733] -> 
  2*a^2 - a^4 - z^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 
   2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13734] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 - 2*a^4*z^2 + 18*a^6*z^2 - 14*a^8*z^2 + 
   3*a^10*z^2 + a^12*z^2 - 5*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 - 5*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 13735] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 13736] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 13737] -> 1 + a^2*z^2 + a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + a^4*z^4 - 10*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13738] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 13739] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 4*a^4*z^4 + 
   15*a^6*z^4 - 10*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 13740] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   5*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 13741] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 13742] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   12*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 12*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 13743] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 13744] -> 3*a^4 - a^6 - 2*a^8 + a^10 + a^2*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - 
   2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 2*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 13745] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13746] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   17*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 13747] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   18*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   23*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13748] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   9*a^2*z^4 - 13*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 13749] -> 
  3 - 3*a^2 - a^4 + 3*a^6 - a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 - 5*a^4*z^2 + 
   8*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   7*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 13750] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 13751] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 
   20*z^2 + (5*z^2)/a^4 - (20*z^2)/a^2 - 4*a^4*z^2 + 14*z^4 + (8*z^4)/a^4 - 
   (22*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 13752] -> 3 + a^(-6) - 2/a^4 - a^2 + 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 2*a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13753] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   17*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (24*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (30*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (10*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13754] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13755] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13756] -> 1 - 2*z^2 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13757] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 2*z^2 + 13*a^2*z^2 - 24*a^4*z^2 + 
   18*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 26*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 13758] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13759] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   16*z^4 - (2*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13760] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13761] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13762] -> -a^(-4) + 2/a^2 - 5*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13763] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13764] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13765] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 13766] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + 
   a^2 - 16*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + (25*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (30*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (10*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13767] -> 5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - 2*z^2 + 
   14*a^2*z^2 - 27*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   14*a^2*z^4 - 29*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 15*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 13768] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 13769] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13770] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 4*z^2 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13771] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 
   18*a^2*z^2 - 28*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 7*z^4 + 
   25*a^2*z^4 - 33*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 18*a^2*z^6 - 
   17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13772] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13773] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + (3*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 13774] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13775] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - 7*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - 10*a^2*z^4 + 2*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 13776] -> a^(-2) - a^2 + a^4 - z^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13777] -> 
  2 - 2*a^2 + a^4 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + z^6 + (3*z^6)/a^4 - 
   (9*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13778] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   7*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 13779] -> 
  1 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13780] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13781] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 13782] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 3*z^2 + (6*z^2)/a^4 - (14*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + 2*z^4 + (9*z^4)/a^4 - (22*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13783] -> 4 + a^(-4) - 3/a^2 - a^2 + 10*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 - 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (10*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13784] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13785] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13786] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 13787] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 14*z^2 + (6*z^2)/a^4 - (18*z^2)/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13788] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^4*z^2 - 7*z^4 - z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 13789] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13790] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 13791] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 13792] -> 8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 13793] -> a^(-12) - 2/a^10 + a^(-8) - 
   2/a^6 + 3/a^4 + z^2/a^12 - z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13794] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + 4*z^4 - 2*a^2*z^4 - 
   12*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 13795] -> 
  3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 3*z^2 - 5*a^2*z^2 + 4*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13796] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13797] -> 8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 13798] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   3*z^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13799] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 13800] -> -2 + 5*a^2 - a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + 7*a^2*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 + 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 13801] -> 
  -2 + 2/a^8 - 4/a^6 - a^(-4) + 6/a^2 - 7*z^2 + (5*z^2)/a^8 - (10*z^2)/a^6 - 
   (6*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (14*z^4)/a^6 - 
   (5*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (3*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 13802] -> a^(-10) - 2/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 13803] -> 
  1 + 3/a^6 - 8/a^4 + 6/a^2 - a^2 + 3*z^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (15*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 13804] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^10 - 
   (4*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 13805] -> 
  -6 - 2/a^4 + 7/a^2 + 2*a^2 - a^4 + a^6 - 22*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13806] -> 
  2 - a^(-6) + 3/a^4 - 2/a^2 - 2*a^2 + a^6 + 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13807] -> 
  -2 - 2/a^8 + 5/a^6 - 5/a^4 + 4/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13808] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + a^2*z^4 - 2*z^6 - 
   (3*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 13809] -> -3 + 2/a^8 - 10/a^6 + 10/a^4 + 2/a^2 - 
   9*z^2 + (5*z^2)/a^8 - (30*z^2)/a^6 + (38*z^2)/a^4 + (4*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (33*z^4)/a^6 + (52*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (36*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13810] -> -1 + a^(-10) - 4/a^8 + a^(-6) + 4/a^4 - 
   3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (13*z^2)/a^4 - 
   z^2/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 + (18*z^4)/a^4 - 
   z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 13811] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - z^2/a^6 + z^2/a^4 + (9*z^2)/a^2 + 
   7*a^2*z^2 - 23*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 
   16*z^6 - z^6/a^6 + (7*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13812] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^2 + 3*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 
   23*z^6 + (4*z^6)/a^4 - (20*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - 
   (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 13813] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 13814] -> 
  10 - 2/a^2 - 12*a^2 + 5*a^4 + 39*z^2 - (9*z^2)/a^2 - 52*a^2*z^2 + 
   19*a^4*z^2 + 57*z^4 - (10*z^4)/a^2 - 85*a^2*z^4 + 28*a^4*z^4 + 40*z^6 - 
   (5*z^6)/a^2 - 73*a^2*z^6 + 20*a^4*z^6 + 14*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 13815] -> -1 - a^(-4) + 4/a^2 - 4*a^2 + 3*a^4 - 
   6*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 - 15*a^2*z^2 + 8*a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 - 21*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 13816] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 3*z^2 + z^2/a^2 - 8*a^2*z^2 + 28*a^4*z^2 - 
   12*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 33*a^4*z^4 - 11*a^6*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 + 19*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13817] -> 
  -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + z^2/a^2 - a^2*z^2 + 18*a^4*z^2 - 9*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13818] -> 
  22 + 3/a^4 - 15/a^2 - 9*a^2 + 82*z^2 + (11*z^2)/a^4 - (56*z^2)/a^2 - 
   31*a^2*z^2 + 124*z^4 + (11*z^4)/a^4 - (74*z^4)/a^2 - 41*a^2*z^4 + 98*z^6 + 
   (5*z^6)/a^4 - (47*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 13819] -> 2 + a^(-4) - 4/a^2 + 6*a^2 - 4*a^4 + 7*z^2 + 
   (3*z^2)/a^4 - (14*z^2)/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 15*z^4 + 
   (3*z^4)/a^4 - (18*z^4)/a^2 + 29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 13820] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13821] -> 3 - a^(-2) - a^2 + 13*z^2 - (3*z^2)/a^2 - 
   15*a^2*z^2 + 6*a^4*z^2 + 28*z^4 - (5*z^4)/a^2 - 41*a^2*z^4 + 15*a^4*z^4 + 
   27*z^6 - (4*z^6)/a^2 - 47*a^2*z^6 + 14*a^4*z^6 + 12*z^8 - z^8/a^2 - 
   27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 13822] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 13823] -> -4 + 11*a^2 - 7*a^4 + a^6 - 
   11*z^2 + z^2/a^2 + 28*a^2*z^2 - 19*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13824] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13825] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13826] -> 
  -3 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13827] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - (14*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13828] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (5*z^2)/a^12 - (23*z^2)/a^10 + 
   (21*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + 
   (38*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (30*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13829] -> -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13830] -> 
  -3 + a^(-8) - 6/a^6 + 5/a^4 + 4/a^2 - 9*z^2 + (4*z^2)/a^8 - (21*z^2)/a^6 + 
   (23*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (26*z^4)/a^6 + 
   (37*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 13831] -> 
  -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (15*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (23*z^4)/a^8 - 
   (30*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (26*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13832] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 
   10*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13833] -> 
  3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13834] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - 
   (11*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13835] -> 3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (25*z^2)/a^10 + (21*z^2)/a^8 + (14*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (28*z^4)/a^10 + (36*z^4)/a^8 + (16*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 13836] -> 1 - a^(-12) + 2/a^10 - a^(-8) + 
   2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13837] -> a^(-12) - 3/a^10 + 2/a^6 + 2/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13838] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13839] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 4*z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 
   a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 13840] -> a^(-10) - 5/a^8 + 5/a^6 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (7*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (17*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13841] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13842] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 12*z^2 - (6*z^2)/a^6 + (25*z^2)/a^4 - 
   (32*z^2)/a^2 + 19*z^4 - (9*z^4)/a^6 + (43*z^4)/a^4 - (59*z^4)/a^2 + 
   15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 13843] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + 
   a^2 - z^2 - z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13844] -> 
  -2 + 8*a^2 - 6*a^4 + a^8 - 5*z^2 + 18*a^2*z^2 - 11*a^4*z^2 - 8*a^6*z^2 + 
   6*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 12*a^4*z^4 - 18*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 13845] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13846] -> -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 
   20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 25*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 
   25*z^4 - z^4/a^4 + (10*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13847] -> 
  3 + a^(-4) - 2/a^2 - 3*a^4 + 2*a^6 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13848] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (13*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + 
   (26*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13849] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13850] -> 
  -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 18*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 22*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 13851] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 
   65*z^2 + (8*z^2)/a^4 - (43*z^2)/a^2 - 25*a^2*z^2 + 99*z^4 + (10*z^4)/a^4 - 
   (60*z^4)/a^2 - 32*a^2*z^4 + 79*z^6 + (5*z^6)/a^4 - (41*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 13852] -> 
  -5 + a^(-2) + 7*a^2 - 2*a^6 - 15*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 + 
   10*a^4*z^2 - 8*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 + 20*a^4*z^4 - 
   10*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13853] -> 2*a^2 - 2*a^6 + a^8 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 
   4*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 13854] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 
   5*a^6*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 13855] -> 4 - 2/a^2 - a^4 + 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13856] -> 
  -2/a^6 + 3/a^4 - 4*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (14*z^2)/a^4 + 
   (2*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + (28*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 13857] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 + z^2/a^8 - z^2/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 13858] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - (17*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - 
   (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 13859] -> -a^(-8) + a^(-6) + a^(-2) + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13860] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (4*z^2)/a^10 + (14*z^2)/a^8 - (11*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (17*z^4)/a^8 - (12*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 13861] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13862] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13863] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (5*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13864] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^10 + (2*z^4)/a^8 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13865] -> -a^(-14) + a^(-12) + 3/a^10 - 7/a^8 + 
   4/a^6 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 + (2*z^2)/a^10 - 
   (15*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (5*z^4)/a^10 - (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 13866] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 
   (4*z^2)/a^6 + (17*z^2)/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - 
   (4*z^4)/a^6 + (16*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (9*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13867] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13868] -> 
  2 - a^(-2) + a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13869] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13870] -> -a^(-14) + 4/a^12 - 3/a^10 - 4/a^8 + 
   4/a^6 + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (7*z^2)/a^10 - 
   (12*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (10*z^4)/a^10 - (18*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 13871] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + 
   a^4 - a^6 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 13872] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (8*z^4)/a^10 - (16*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13873] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 3*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (15*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (14*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 + 
   (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (2*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 13874] -> 
  -a^(-14) + 3/a^12 - 6/a^8 + 3/a^6 + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (14*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13875] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 2/a^6 + 2/a^4 + a^(-2) - z^2/a^14 + 
   (7*z^2)/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13876] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - (11*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13877] -> a^(-12) - 3/a^10 + 3/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) - z^2/a^14 + (4*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13878] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 13879] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13880] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + (3*z^6)/a^4 - (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 13881] -> 5 + a^(-4) - 4/a^2 - a^4 + 8*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 13882] -> 1 + a^(-8) - 3/a^6 + a^(-4) + 2/a^2 - a^2 + 
   3*z^2 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13883] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 21*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + 23*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (8*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 13884] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + z^2/a^6 - (7*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 13885] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2/a^2 - 9*a^2*z^2 + 16*a^4*z^2 - 6*a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 11*a^2*z^4 + 22*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + 
   z^6/a^2 - 3*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13886] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 2*z^2 + z^2/a^2 - 15*a^2*z^2 + 21*a^4*z^2 - 
   7*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 15*a^2*z^4 + 24*a^4*z^4 - 7*a^6*z^4 - 
   5*z^6 + z^6/a^2 - 4*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13887] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 10*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 11*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13888] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13889] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13890] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 13891] -> 
  9 - 2/a^2 - 10*a^2 + 4*a^4 + 20*z^2 - z^2/a^4 - (3*z^2)/a^2 - 27*a^2*z^2 + 
   9*a^4*z^2 + 17*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 28*a^2*z^4 + 8*a^4*z^4 + 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 15*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13892] -> -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 5*z^2 + 
   15*a^2*z^2 - a^4*z^2 - 14*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   7*a^4*z^4 - 20*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 13893] -> 
  6 + a^(-6) - 5/a^4 + 3/a^2 - 4*a^2 + 17*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (10*z^2)/a^2 - 10*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (14*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 13894] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   8*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13895] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 9*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13896] -> -1 + 2*a^2 + 6*a^4 - 10*a^6 + 4*a^8 - 
   3*z^2 + 5*a^2*z^2 + 15*a^4*z^2 - 27*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 
   8*a^2*z^4 + 12*a^4*z^4 - 31*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 + 
   a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 13897] -> 
  -2 + 7*a^2 - 2*a^4 - 5*a^6 + 3*a^8 - 5*z^2 + 15*a^2*z^2 - a^4*z^2 - 
   19*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 2*a^4*z^4 - 26*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 13898] -> 3 - a^(-2) - 3*a^6 + 2*a^8 + 5*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13899] -> -a^(-2) + 5*a^2 - 3*a^4 - 7*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 13900] -> 
  -a^2 + 9*a^4 - 11*a^6 + 4*a^8 - 2*z^2 + a^2*z^2 + 20*a^4*z^2 - 30*a^6*z^2 + 
   11*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 15*a^4*z^4 - 33*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 13901] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 13902] -> -1 + 6*a^2 - 4*a^4 - 2*a^6 + 2*a^8 - z^2 - 
   z^2/a^2 + 13*a^2*z^2 - 14*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 10*a^2*z^4 - 17*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 13903] -> -a^(-12) + 5/a^10 - 8/a^8 + 
   3/a^6 + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + (6*z^2)/a^10 - (17*z^2)/a^8 + 
   (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - 
   (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 13904] -> -a^(-12) + 3/a^10 - 2/a^8 - 
   2/a^6 + 2/a^4 + a^(-2) - z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   z^4/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 13905] -> 
  -2/a^14 + 9/a^12 - 12/a^10 + 2/a^8 + 4/a^6 - (5*z^2)/a^14 + (25*z^2)/a^12 - 
   (34*z^2)/a^10 + (5*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (30*z^4)/a^12 - (44*z^4)/a^10 + (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (33*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 13906] -> -a^(-14) + 5/a^12 - 7/a^10 + 2/a^8 + 2/a^4 - 
   (2*z^2)/a^14 + (11*z^2)/a^12 - (15*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (14*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13907] -> -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 
   13*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13908] -> -a^(-14) + 6/a^12 - 10/a^10 + 4/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (12*z^2)/a^12 - (20*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (17*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 13909] -> 
  -3 - 2/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13910] -> 
  -3 + 2/a^8 - 10/a^6 + 10/a^4 + 2/a^2 - 9*z^2 + (4*z^2)/a^8 - (25*z^2)/a^6 + 
   (31*z^2)/a^4 + (7*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (27*z^4)/a^6 + 
   (42*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (31*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 13911] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 + z^2/a^10 - 
   (15*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (5*z^4)/a^10 - (19*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 13912] -> 3/a^12 - 10/a^10 + 7/a^8 + 
   2/a^6 - a^(-4) + (5*z^2)/a^12 - (27*z^2)/a^10 + (29*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + (43*z^4)/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (31*z^6)/a^8 + 
   (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 13913] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - 
   (17*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (20*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 13914] -> -a^(-12) + 5/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 - (19*z^2)/a^8 + (7*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (2*z^4)/a^10 - (21*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13915] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 
   z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 13916] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (6*z^2)/a^12 + z^2/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (5*z^4)/a^10 - (19*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 13917] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 11*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 13918] -> 
  1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 10*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (14*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (13*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 13919] -> 
  3 + a^(-6) - 3/a^4 + a^(-2) - a^4 + 9*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 11*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13920] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (28*z^2)/a^4 + 
   (21*z^2)/a^2 - 4*z^4 + z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - 
   (32*z^4)/a^4 + (20*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (18*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 13921] -> 3 + a^(-6) - 2/a^4 - a^2 + 
   6*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 13922] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 11*a^4*z^4 - 
   6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 13923] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13924] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13925] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   10*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 13926] -> 
  -5 + 3/a^2 + 3*a^2 - 15*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13927] -> -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 3*z^2 + 
   7*a^2*z^2 + 9*a^4*z^2 - 21*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   8*a^4*z^4 - 29*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 - 18*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 13928] -> 22 + 3/a^4 - 15/a^2 - 9*a^2 + 
   71*z^2 + (10*z^2)/a^4 - (49*z^2)/a^2 - 26*a^2*z^2 + 101*z^4 + 
   (11*z^4)/a^4 - (64*z^4)/a^2 - 32*a^2*z^4 + 79*z^6 + (5*z^6)/a^4 - 
   (42*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 13929] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 16*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 13930] -> 
  -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - a^2*z^2 + a^6*z^2 + 26*a^8*z^2 - 
   21*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 7*a^6*z^4 + 25*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 8*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 13931] -> 11 - 3/a^2 - 11*a^2 + 4*a^4 + 33*z^2 - 
   (6*z^2)/a^2 - 46*a^2*z^2 + 18*a^4*z^2 + 46*z^4 - (6*z^4)/a^2 - 
   80*a^2*z^4 + 28*a^4*z^4 + 34*z^6 - (4*z^6)/a^2 - 72*a^2*z^6 + 20*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 13932] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 15*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 - 
   7*a^2*z^2 + 7*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (16*z^4)/a^2 - 18*a^2*z^4 + 
   10*a^4*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 13933] -> -3 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + a^4 - 
   6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 13934] -> 
  -3 + 3/a^8 - 14/a^6 + 15/a^4 - 9*z^2 + (6*z^2)/a^8 - (38*z^2)/a^6 + 
   (51*z^2)/a^4 - z^2/a^2 - 10*z^4 + (4*z^4)/a^8 - (38*z^4)/a^6 + 
   (65*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (42*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 13935] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 13936] -> 
  -1 + a^(-10) - 3/a^8 - 3/a^6 + 9/a^4 - 2/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (3*z^2)/a^6 + (21*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + (23*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 13937] -> 
  -4 - a^(-8) + 2/a^6 - 4/a^4 + 7/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13938] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 13*a^2*z^2 - 
   12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 13939] -> -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 13940] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 
   2*z^6 + a^2*z^6 - 2*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 13941] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 
   37*z^2 + (8*z^2)/a^4 - (31*z^2)/a^2 - 13*a^2*z^2 + 61*z^4 + (10*z^4)/a^4 - 
   (47*z^4)/a^2 - 19*a^2*z^4 + 54*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 13942] -> 
  2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13943] -> -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   25*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 28*z^4 - z^4/a^4 + (12*z^4)/a^2 + 28*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13944] -> 
  -2 + a^(-10) - 5/a^8 + 9/a^6 - 10/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (24*z^2)/a^6 - (27*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - (31*z^4)/a^4 + (20*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 13945] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - a^2 - a^4 + 
   a^6 + 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 13946] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 13947] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 13948] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13949] -> 27 + 4/a^4 - 19/a^2 - 11*a^2 + 
   93*z^2 + (14*z^2)/a^4 - (66*z^2)/a^2 - 34*a^2*z^2 + 132*z^4 + 
   (14*z^4)/a^4 - (84*z^4)/a^2 - 42*a^2*z^4 + 100*z^6 + (6*z^6)/a^4 - 
   (52*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 
   10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 13950] -> 
  7 + 2/a^4 - 8/a^2 + 4*a^2 - 4*a^4 + 13*z^2 + (5*z^2)/a^4 - (20*z^2)/a^2 + 
   20*a^2*z^2 - 12*a^4*z^2 + 17*z^4 + (4*z^4)/a^4 - (22*z^4)/a^2 + 
   29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (11*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13951] -> -4*a^6 + 19*a^8 - 20*a^10 + 6*a^12 - 
   4*a^4*z^2 - 4*a^6*z^2 + 53*a^8*z^2 - 46*a^10*z^2 + 9*a^12*z^2 - 
   8*a^4*z^4 + 3*a^6*z^4 + 64*a^8*z^4 - 42*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 8*a^6*z^6 + 41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 13952] -> -a^4 + 3*a^6 + 5*a^8 - 9*a^10 + 3*a^12 - 
   2*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 + 17*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 13953] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 25*z^2 - (5*z^2)/a^2 - 33*a^2*z^2 + 
   13*a^4*z^2 + 45*z^4 - (8*z^4)/a^2 - 69*a^2*z^4 + 24*a^4*z^4 + 37*z^6 - 
   (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 13954] -> 9 - 4/a^2 - 4*a^2 + 36*z^2 + (4*z^2)/a^4 - 
   (22*z^2)/a^2 - 14*a^2*z^2 + 70*z^4 + (8*z^4)/a^4 - (44*z^4)/a^2 - 
   24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 13955] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   16*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 16*a^2*z^4 + 9*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 13956] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 
   16*a^2*z^2 - 7*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 13957] -> -6 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + 
   2*a^2 - 15*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (26*z^2)/a^4 + 
   (27*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (31*z^4)/a^4 + (29*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 13958] -> 2 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - 2*a^2 + a^4 + 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 13959] -> 
  -6 - 2/a^4 + 6/a^2 + 5*a^2 - 3*a^4 + a^6 - 18*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13960] -> -4 - 2/a^8 + 6/a^6 - 9/a^4 + 9/a^2 + 
   a^2 - 13*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (27*z^2)/a^4 + (26*z^2)/a^2 + 
   3*a^2*z^2 - 16*z^4 - z^4/a^8 + (12*z^4)/a^6 - (30*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13961] -> -2 - a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 
   3/a^2 + a^2 - 6*z^2 - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 13962] -> -3 + 10*a^2 - 10*a^4 + 6*a^6 - 
   2*a^8 - 12*z^2 + (2*z^2)/a^2 + 29*a^2*z^2 - 27*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 29*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13963] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 13964] -> 
  -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (19*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 13965] -> 
  -6 - 2/a^4 + 6/a^2 + 5*a^2 - 3*a^4 + a^6 - 18*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 13966] -> -5 + a^(-6) - 5/a^4 + 8/a^2 + 
   3*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 13967] -> -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 
   2*a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 + 11*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 16*a^6*z^4 + 18*a^8*z^4 - 14*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 13968] -> 
  -a^2 + 3*a^4 - a^6 + 3*a^8 - 4*a^10 + a^12 - z^2 - a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 + 7*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 + 5*a^4*z^4 + 
   6*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 13969] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 
   2*a^2 + 15*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + 18*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 13970] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 13971] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 - 
   (2*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 13972] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 
   2*a^8 - 8*z^2 + z^2/a^2 + 21*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 13973] -> 
  -2*a^4 + 5*a^6 + 3*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 - 5*a^4*z^2 + 
   16*a^6*z^2 + 13*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 22*a^6*z^4 + 17*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   15*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 13974] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   15*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 13975] -> -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 2*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 13*a^6*z^2 + 15*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 21*a^6*z^4 + 17*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 13976] -> -1 + 3*a^2 - 3*a^4 + 6*a^6 - 
   5*a^8 + a^10 - z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 13977] -> 2 + a^(-4) - 2/a^2 + 7*z^2 - (2*z^2)/a^6 + 
   (11*z^2)/a^4 - (17*z^2)/a^2 + 13*z^4 - (7*z^4)/a^6 + (29*z^4)/a^4 - 
   (40*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (30*z^6)/a^4 - (44*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 13978] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (12*z^2)/a^4 - z^2/a^2 + 5*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (9*z^4)/a^4 - (10*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 13979] -> -a^2 + 2*a^4 + 5*a^8 - 7*a^10 + 
   2*a^12 - 3*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 + 16*a^8*z^2 - 17*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 12*a^6*z^4 + 20*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 13980] -> 3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + 
   (12*z^2)/a^8 - (48*z^2)/a^6 + (61*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - 
   (67*z^4)/a^6 + (92*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 13981] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 8*z^2 + 
   (6*z^2)/a^8 - (19*z^2)/a^6 + (11*z^2)/a^4 + (14*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (13*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13982] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 
   9*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 - (5*z^2)/a^4 + (22*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 - z^4/a^4 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 13983] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 13984] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 13985] -> 3 + a^(-8) - 3/a^6 + 3/a^4 - 2/a^2 - a^2 + 
   6*z^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 13986] -> -5 + a^(-6) - 4/a^4 + 6/a^2 + 
   5*a^2 - 2*a^4 - 15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 19*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 13987] -> -1 + a^(-6) - 4/a^4 + 4/a^2 + 3*a^2 - 
   2*a^4 - 9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 13988] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 13989] -> 
  -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 + 
   7*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   24*a^6*z^4 + 13*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 15*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 13990] -> 2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 7*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 13991] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 13992] -> 
  8 + 2/a^6 - 7/a^4 + 3/a^2 - 5*a^2 + 25*z^2 + (6*z^2)/a^6 - (22*z^2)/a^4 + 
   (11*z^2)/a^2 - 14*a^2*z^2 + 32*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + 
   (18*z^4)/a^2 - 14*a^2*z^4 + 21*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (15*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 13993] -> 
  4 + a^(-6) - 3/a^4 + a^2 - 2*a^4 + 13*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 16*z^4 + z^4/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 13994] -> -3*a^4 + 10*a^6 - 4*a^8 - 4*a^10 + 2*a^12 - 
   2*a^2*z^2 - 5*a^4*z^2 + 25*a^6*z^2 - 2*a^8*z^2 - 12*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 26*a^6*z^4 + 6*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 7*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 13995] -> -a^2 + 2*a^4 + 3*a^6 - 2*a^8 - 2*a^10 + 
   a^12 - z^2 - a^2*z^2 + 4*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 5*a^10*z^2 + 
   a^12*z^2 - z^4 + 5*a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 13996] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 14*a^2*z^2 + 7*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 13997] -> 
  4 - a^(-4) - 2*a^2 + 14*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 7*a^2*z^2 + 
   20*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 13998] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   3*a^2*z^2 + 3*a^4*z^2 - 10*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 13999] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 7*z^2 + z^2/a^6 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14000] -> 
  2 - a^(-10) + a^(-8) + a^(-6) - 2/a^2 + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14001] -> -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-2) + 
   a^2 - 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^4 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 14002] -> 
  -a^(-14) + a^(-12) + 4/a^10 - 8/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (8*z^2)/a^12 + (5*z^2)/a^10 - (19*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (2*z^4)/a^10 - (21*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14003] -> -a^(-14) + 2/a^12 - 2/a^8 + a^(-4) + 
   a^(-2) - z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 14004] -> 2 - a^(-10) + a^(-8) + a^(-6) - 
   2/a^2 + 2*z^2 + (4*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14005] -> -2/a^14 + 4/a^12 + a^(-10) - 8/a^8 + 5/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (11*z^2)/a^12 + z^2/a^10 - (20*z^2)/a^8 + 
   (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (5*z^4)/a^10 - 
   (23*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 14006] -> -a^(-14) + a^(-12) + 3/a^10 - 
   5/a^8 + 3/a^4 - z^2/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (9*z^2)/a^8 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (10*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14007] -> 
  4 - 7*a^2 + 9*a^6 - 5*a^8 + 13*z^2 - 24*a^2*z^2 - 4*a^4*z^2 + 26*a^6*z^2 - 
   8*a^8*z^2 + 13*z^4 - 31*a^2*z^4 - 13*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 
   6*z^6 - 20*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 14008] -> 1 + a^(-2) - 5*a^2 + 3*a^4 + 4*a^6 - 3*a^8 - 
   z^2 + (4*z^2)/a^2 - 13*a^2*z^2 + 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 15*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14009] -> -2 + 2/a^2 - 3*a^2 + 6*a^4 - a^6 - a^8 - 
   6*z^2 + (5*z^2)/a^2 - 10*a^2*z^2 + 11*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 
   7*z^4 + (4*z^4)/a^2 - 13*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 - 8*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 14010] -> a^(-4) - a^(-2) + a^4 + a^6 - 
   a^8 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 14011] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (5*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 14012] -> -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 
   4*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 14013] -> -a^(-14) + a^(-12) + 4/a^10 - 8/a^8 + 
   3/a^6 + 2/a^4 - (3*z^2)/a^14 + (8*z^2)/a^12 + (5*z^2)/a^10 - 
   (19*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (2*z^4)/a^10 - (21*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14014] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 5*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14015] -> -3 + a^(-2) + 6*a^2 - 8*a^4 + 9*a^6 - 
   4*a^8 - 11*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 
   4*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 32*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14016] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 3*a^8 - 2*a^10 - 5*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 6*z^4 + 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 14017] -> 2*a^2 - 2*a^4 + 4*a^6 - 6*a^8 + 4*a^10 - 
   a^12 + 2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 5*a^4*z^4 + 10*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 14018] -> 1 + a^6 - 3*a^8 + 3*a^10 - a^12 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 
   2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6, Knot[15, Alternating, 14019] -> -4 + 2/a^2 + 7*a^2 - 9*a^4 + 
   7*a^6 - 2*a^8 - 14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 26*a^4*z^2 + 
   18*a^6*z^2 - 5*a^8*z^2 - 12*z^4 + z^4/a^2 + 27*a^2*z^4 - 29*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14020] -> 1 + a^(-4) - a^(-2) - 2*a^4 + 3*a^6 - a^8 + 
   3*z^2 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   3*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14021] -> -10 + a^(-6) - 3/a^4 + 7/a^2 + 8*a^2 - 
   2*a^4 - 29*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 30*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (30*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14022] -> -2 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + 3*a^4 - 
   a^6 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 14023] -> 
  -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14024] -> 
  -4 + 2/a^2 + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14025] -> 1 - a^4 + 4*a^6 - 5*a^8 + 
   2*a^10 + z^2 + a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 17*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14026] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14027] -> -6 - 2/a^8 + 5/a^6 - 7/a^4 + 9/a^2 + 2*a^2 - 
   17*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (23*z^2)/a^4 + (25*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 - z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + 
   (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14028] -> 1 - a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*a^2 + 
   a^4 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14029] -> 3*a^2 - 7*a^4 + 11*a^6 - 8*a^8 + 2*a^10 - 
   2*z^2 + 12*a^2*z^2 - 25*a^4*z^2 + 30*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 15*a^2*z^4 - 31*a^4*z^4 + 30*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14030] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14031] -> 
  -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14032] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 
   4*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14033] -> 2 - 3*a^2 + 4*a^4 - 2*a^6 - a^8 + a^10 + 
   2*z^2 - 6*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14034] -> 
  -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 9*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14035] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14036] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 15*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 18*a^4*z^4 + 19*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14037] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   18*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14038] -> 
  -4 + 2/a^2 + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14039] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 
   4*a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14040] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   21*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14041] -> 
  a^(-4) - a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   a^6*z^2 - 8*z^4 + z^4/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 14042] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - 2*a^2*z^2 + 6*a^4*z^2 + 7*a^6*z^2 - 
   13*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 - 
   10*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 14043] -> a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 14044] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 19*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14045] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 14046] -> 
  a^(-2) - a^2 + a^4 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14047] -> 1 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14048] -> -2 + 2/a^2 + a^4 - 8*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14049] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 
   2*z^2 + 14*a^2*z^2 - 25*a^4*z^2 + 17*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 14*a^2*z^4 - 28*a^4*z^4 + 17*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 15*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14050] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14051] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 13*a^2*z^4 - 12*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14052] -> 1 - 4*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 14053] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   8*z^2 - (3*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 12*z^4 - 
   (5*z^4)/a^2 - 13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 14054] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14055] -> 
  -4 + a^(-4) + a^(-2) + 4*a^2 - 2*a^4 + a^6 - 15*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14056] -> -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14057] -> 
  1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 - z^2 + 7*a^2*z^2 - 15*a^4*z^2 + 
   12*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 20*a^4*z^4 + 
   18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14058] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   12*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14059] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 + 
   3*a^8*z^2 - 6*z^4 + 15*a^2*z^4 - 12*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 12*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14060] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 6*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 8*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14061] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + a^6*z^4 + z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14062] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 + z^2/a^2 + 13*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14063] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 6*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14064] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 
   20*a^2*z^2 - 16*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 9*z^4 + 24*a^2*z^4 - 
   11*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 2*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 14065] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - 7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14066] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14067] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + a^4*z^2 - 6*z^4 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 14068] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 + 
   6*a^2*z^2 - 8*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 4*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   6*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 14069] -> 1 + z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14070] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14071] -> 
  a^(-2) - a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^4*z^2 + 
   a^6*z^2 - 11*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14072] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 12*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14073] -> -1 + 4*a^2 - 2*a^4 - z^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14074] -> 2*a^2 - a^4 + z^2 - a^4*z^2 + a^6*z^2 + 
   2*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14075] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14076] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 - 
   15*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 22*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 15*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14077] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14078] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14079] -> -2 + a^(-2) + 3*a^2 - a^4 + a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - 
   z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14080] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + a^6*z^4 + z^6 - z^6/a^4 + z^6/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14081] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 11*z^2 + (6*z^2)/a^4 - (17*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14082] -> 3 - a^(-2) - a^2 + 11*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 9*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 14083] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 3*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 14084] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^2 + 
   4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 14085] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^2 - 
   3*a^2*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14086] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 8*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14087] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 12*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 14088] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^6 + z^2/a^2 + a^4*z^2 - 6*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 14089] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 14090] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14091] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 18*z^2 - 
   (4*z^2)/a^2 - 29*a^2*z^2 + 11*a^4*z^2 + 41*z^4 - (12*z^4)/a^2 - 
   49*a^2*z^4 + 13*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 14092] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 + z^2 - z^2/a^2 + a^2*z^2 - 11*a^4*z^2 + 
   5*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 14093] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14094] -> 3 - a^(-2) - 2*a^4 + a^6 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14095] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^4 + 7*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 14096] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 22*z^2 - (5*z^2)/a^2 - 29*a^2*z^2 + 
   11*a^4*z^2 + 42*z^4 - (12*z^4)/a^2 - 49*a^2*z^4 + 13*a^4*z^4 + 44*z^6 - 
   (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 14097] -> 2 + 3/a^4 - 5/a^2 + a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (6*z^4)/a^6 + (16*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14098] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (13*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 14099] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 2*a^2*z^2 - 5*a^4*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 24*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14100] -> 
  2 - a^2 - a^4 + a^6 + 7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 14101] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 13*a^2*z^2 - 7*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - 6*z^4 + 15*a^2*z^4 - 3*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14102] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14103] -> 
  a^(-6) - a^(-2) + a^4 - 6*z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 14104] -> 
  -4 + a^(-4) + a^(-2) + 5*a^2 - 4*a^4 + 2*a^6 - 13*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14105] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14106] -> 
  a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14107] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   2*z^2 + z^2/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + z^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 14108] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   4*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   3*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 14109] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 4*a^2*z^2 + 
   a^4*z^2 - 6*a^6*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 14110] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14111] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 2*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14112] -> 1 + a^4 - 2*a^6 + a^8 + a^2*z^2 + 
   2*a^4*z^2 - 6*a^6*z^2 + 2*a^10*z^2 - 2*z^4 + a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 14113] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + a^4*z^2 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 14114] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14115] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14116] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 - 
   13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 20*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 14*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14117] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14118] -> 
  1 + z^2 - z^2/a^4 + 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 14119] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 16*z^2 + (5*z^2)/a^4 - (18*z^2)/a^2 - 
   3*a^4*z^2 + 12*z^4 + (7*z^4)/a^4 - (20*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   (4*z^6)/a^4 - (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14120] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   a^6*z^2 + z^4/a^6 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14121] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 14*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (23*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (30*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14122] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14123] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14124] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14125] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14126] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14127] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (15*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14128] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + (6*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14129] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14130] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 14131] -> 
  -2 + a^(-4) + 2*a^2 - 9*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - (5*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14132] -> -1 + a^(-4) + a^4 - 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14133] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14134] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 2*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - 
   (12*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (16*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14135] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   2*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 
   11*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14136] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 14137] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 11*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14138] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 2*a^4*z^4 + 9*a^6*z^4 - 8*a^10*z^4 + 
   3*a^12*z^4 - 3*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 14139] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - a^2*z^4 - 
   a^4*z^4 + 11*a^6*z^4 - 12*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 14140] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 9*a^6*z^2 - 12*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - a^2*z^4 - 
   a^4*z^4 + 11*a^6*z^4 - 12*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 14141] -> 6*a^2 - 11*a^4 + 8*a^6 - 2*a^8 - 4*z^2 + 
   19*a^2*z^2 - 30*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 7*z^4 + 
   25*a^2*z^4 - 34*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 18*a^2*z^6 - 
   17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14142] -> -4/a^8 + 9/a^6 - 7/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (21*z^2)/a^6 - (19*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   z^4/a^10 - (5*z^4)/a^8 + (17*z^4)/a^6 - (17*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14143] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + (5*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14144] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14145] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^4 + 8*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 
   8*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 14146] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14147] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - 
   z^4/a^6 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14148] -> -4 + a^(-4) + a^(-2) + 4*a^2 - 2*a^4 + a^6 - 
   9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14149] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14150] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 14151] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14152] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 5*a^2*z^2 - 
   10*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 14153] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14154] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14155] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14156] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 14157] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 + a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14158] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 
   17*a^2*z^2 - 25*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 7*z^4 + 
   25*a^2*z^4 - 32*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 18*a^2*z^6 - 
   17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14159] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 8*a^2*z^2 - 
   21*a^4*z^2 + 24*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 8*a^2*z^4 - 
   29*a^4*z^4 + 29*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   19*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 14160] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14161] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14162] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 14163] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14164] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (11*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14165] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 16*z^4 + 
   z^4/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 11*z^6 + 
   z^6/a^4 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 14166] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14167] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   8*z^4 - (6*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 14168] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14169] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 14170] -> -2 + 2/a^2 + a^4 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14171] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^8 - z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14172] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14173] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14174] -> 5 + 2/a^4 - 5/a^2 - a^2 + 11*z^2 + 
   (5*z^2)/a^4 - (16*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + (7*z^4)/a^4 - 
   (19*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 14175] -> 5 + a^(-4) - 4/a^2 - a^4 + 
   11*z^2 + (6*z^2)/a^4 - (17*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + 
   (9*z^4)/a^4 - (23*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14176] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 3*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 14177] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14178] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (17*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (18*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14179] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 14180] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 14181] -> -a^(-12) + 3/a^10 - 6/a^8 + 
   5/a^6 - z^2/a^14 + z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (9*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 14182] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 
   4/a^2 + 2*z^2 - (5*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + (17*z^4)/a^6 - (15*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14183] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 + (9*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (12*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14184] -> 5 + a^(-4) - 4/a^2 - a^4 + 10*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + (7*z^4)/a^4 - 
   (19*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 14185] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   16*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14186] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14187] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 12*a^2*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 10*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 14188] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 + a^6*z^2 - a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14189] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 14190] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - 
   2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 - 7*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 14191] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + z^2/a^4 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14192] -> 
  -3/a^8 + 4/a^6 + z^2 - (2*z^2)/a^10 + (9*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   2*z^4 - z^4/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 14193] -> -2/a^10 + 3/a^8 - a^(-6) + 
   a^(-2) + z^2 - z^2/a^12 + (6*z^2)/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 + 
   z^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 14194] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 14*z^2 - z^2/a^6 + z^2/a^4 + 
   (8*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14195] -> 
  3 - 2/a^2 + 3*a^2 - 4*a^4 + a^6 + 2*z^2 - (3*z^2)/a^2 + 14*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14196] -> 2*a^2 - a^4 - 11*z^2 + (2*z^2)/a^4 + 
   z^2/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14197] -> 1 - a^(-4) + a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   6*z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^4 + 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14198] -> -5 - a^(-6) + a^(-4) + 4/a^2 + a^2 + a^4 - 
   8*z^2 - z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 14199] -> 
  -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   11*a^6*z^2 - 5*a^8*z^2 + 3*z^4 - 8*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 14200] -> -2 + 4*a^2 - a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14201] -> 2/a^12 - 3/a^10 - 3/a^8 + 5/a^6 + 
   (4*z^2)/a^12 - (6*z^2)/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (11*z^4)/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (9*z^6)/a^10 + z^6/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 14202] -> a^(-12) - 5/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14203] -> 
  -5 - a^(-6) + a^(-4) + 4/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 14204] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 - 6*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 14205] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + 
   a^4 - a^6 - 13*z^2 + (7*z^2)/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   14*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 14206] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 - 6*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + 
   (6*z^4)/a^4 - (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14207] -> 
  3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 + z^2/a^12 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (7*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (10*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 14208] -> 2/a^10 - 4/a^8 + a^(-6) + 
   a^(-4) + a^(-2) - z^2 + z^2/a^12 - (5*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14209] -> -2/a^18 + 11/a^16 - 17/a^14 + 4/a^12 + 
   5/a^10 - z^2/a^18 + (16*z^2)/a^16 - (44*z^2)/a^14 + (19*z^2)/a^12 + 
   (19*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (36*z^4)/a^14 + 
   (32*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 14210] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 3/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (15*z^2)/a^14 + (12*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + 
   (7*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 14211] -> 
  10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 22*z^2 + (4*z^2)/a^4 - (18*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 17*z^4 + (6*z^4)/a^4 - (19*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 2*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14212] -> 8 - 4/a^2 - 2*a^2 - a^4 + 15*z^2 + z^2/a^6 - 
   z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 10*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 14213] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 31*z^2 + 
   z^2/a^6 - (16*z^2)/a^2 - 12*a^2*z^2 + 34*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (11*z^4)/a^2 - 11*a^2*z^4 + 19*z^6 + z^6/a^6 - (6*z^6)/a^4 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 14214] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 
   10*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + 
   z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14215] -> -2*a^6 + 14*a^8 - 16*a^10 + 5*a^12 - 
   2*a^4*z^2 - 4*a^6*z^2 + 44*a^8*z^2 - 39*a^10*z^2 + 8*a^12*z^2 - 
   5*a^4*z^4 - a^6*z^4 + 55*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   4*a^6*z^6 + 36*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 14216] -> a^6 + 6*a^8 - 9*a^10 + 3*a^12 - a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 + 17*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 + 17*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 14217] -> -2/a^14 + 8/a^12 - 10/a^10 + 
   a^(-8) + 4/a^6 - (3*z^2)/a^14 + (18*z^2)/a^12 - (23*z^2)/a^10 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (23*z^4)/a^10 - 
   (8*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14218] -> -a^(-14) + 2/a^12 + a^(-10) - 5/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14219] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (6*z^2)/a^6 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - 
   (13*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14220] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14221] -> 
  -3 + 2/a^8 - 10/a^6 + 10/a^4 + 2/a^2 - 6*z^2 + (3*z^2)/a^8 - (21*z^2)/a^6 + 
   (25*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (26*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 14222] -> -1 + a^(-10) - 4/a^8 + a^(-6) + 4/a^4 - 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (12*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (13*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 14223] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (8*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (14*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14224] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (6*z^2)/a^6 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - 
   (13*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14225] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14226] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (8*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (14*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14227] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (12*z^4)/a^8 - 
   z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 14228] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14229] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14230] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 3*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14231] -> 3 - a^(-4) - a^4 + 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 14232] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 14233] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14234] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 14235] -> -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 
   2*a^4*z^2 - a^6*z^2 + 34*a^8*z^2 - 28*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 
   2*a^6*z^4 + 45*a^8*z^4 - 29*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   5*a^6*z^6 + 31*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 14236] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - a^2*z^2 + 
   a^4*z^2 + 5*a^6*z^2 + 11*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 + 13*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 14237] -> 1 - a^(-4) + 2/a^2 - a^2 - 
   a^4 + a^6 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14238] -> 
  2*a^2 - a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14239] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - 
   (15*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (2*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14240] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 - z^4/a^4 + (10*z^4)/a^2 + 25*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14241] -> 
  4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 14242] -> 
  -a^(-8) + 3/a^6 - 3/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (9*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (19*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14243] -> 
  -1 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + a^4 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14244] -> -1 + 5*a^4 - a^6 - 3*a^8 + a^10 - 3*z^2 + 
   3*a^2*z^2 + 5*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   8*a^2*z^4 - 2*a^4*z^4 + 18*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14245] -> 
  -2 - a^(-8) + 3/a^6 - a^(-4) + a^2 + a^4 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 14246] -> -1 - a^(-8) + a^(-6) + a^(-4) + 
   a^2 - 7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14247] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 14248] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (13*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14249] -> -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 - 
   (2*z^2)/a^12 + (9*z^2)/a^10 - (8*z^2)/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (18*z^4)/a^8 + (10*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 14250] -> -2 + a^(-8) - 6/a^6 + 6/a^4 + 
   2/a^2 - 7*z^2 + (4*z^2)/a^8 - (21*z^2)/a^6 + (25*z^2)/a^4 + (5*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (29*z^4)/a^6 + (41*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (33*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14251] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + (14*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 - z^4/a^6 + (17*z^4)/a^4 + z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (4*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 14252] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 14253] -> 5 - a^(-4) - a^(-2) - 3*a^4 + 
   a^6 + 2*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14254] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14255] -> a^(-12) - 3/a^10 - a^(-8) + 4/a^6 + a^(-4) - 
   a^(-2) + (2*z^2)/a^12 - (11*z^2)/a^10 + (5*z^2)/a^8 + (14*z^2)/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (14*z^4)/a^8 + 
   (17*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 14256] -> -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 
   2*a^12 - 7*a^4*z^2 + 15*a^6*z^2 + 18*a^8*z^2 - 23*a^10*z^2 + 5*a^12*z^2 - 
   9*a^4*z^4 + 16*a^6*z^4 + 35*a^8*z^4 - 28*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 11*a^6*z^6 + 29*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 14257] -> -a^2 + 3*a^4 - a^6 + 3*a^8 - 4*a^10 + a^12 - 
   3*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 + 9*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 7*a^6*z^4 + 11*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 14258] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 14*z^2 - (6*z^2)/a^6 + (27*z^2)/a^4 - 
   (37*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + (48*z^4)/a^4 - (71*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 14259] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + 
   a^2 - (4*z^2)/a^6 + (16*z^2)/a^4 - (18*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (20*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (13*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14260] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (4*z^2)/a^8 + (15*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^10 + (14*z^4)/a^6 - (21*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14261] -> 
  -2 + 6*a^2 - 3*a^4 - 2*z^2 - z^2/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 
   2*a^8*z^2 + z^4 - z^4/a^2 + 12*a^2*z^4 - 14*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14262] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 18*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + 22*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   8*a^2*z^4 + 14*z^6 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 14263] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 22*a^2*z^2 - 16*a^4*z^2 + 
   5*a^6*z^2 - 23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 28*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14264] -> 
  -5 + a^(-2) + 6*a^2 + 2*a^4 - 3*a^6 - 16*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 + 
   12*a^4*z^2 - 9*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 + 21*a^4*z^4 - 
   10*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14265] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 63*z^2 + 
   (7*z^2)/a^4 - (41*z^2)/a^2 - 25*a^2*z^2 + 108*z^4 + (9*z^4)/a^4 - 
   (62*z^4)/a^2 - 37*a^2*z^4 + 92*z^6 + (5*z^6)/a^4 - (44*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 14266] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 22*z^2 + (3*z^2)/a^4 - (18*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 27*z^4 + (3*z^4)/a^4 - (20*z^4)/a^2 + 13*a^2*z^4 - 
   9*a^4*z^4 + 17*z^6 + z^6/a^4 - (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14267] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   9*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + (19*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (3*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14268] -> 2/a^12 - 9/a^10 + 9/a^8 - a^(-6) + 
   (4*z^2)/a^12 - (23*z^2)/a^10 + (28*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (28*z^4)/a^10 + (41*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (16*z^6)/a^10 + (32*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 14269] -> a^(-12) - 4/a^10 + a^(-8) + 
   4/a^6 - a^(-4) + (2*z^2)/a^12 - (10*z^2)/a^10 + (7*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + 
   (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14270] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 - (2*z^4)/a^8 + (22*z^4)/a^6 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14271] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - z^2 + z^2/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 14272] -> -2 - a^(-6) + 2/a^4 + a^(-2) + 
   a^4 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - a^2*z^2 + a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 14273] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - 
   (10*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14274] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + (3*z^2)/a^16 - (14*z^2)/a^14 + (19*z^2)/a^10 + (4*z^2)/a^8 - 
   (16*z^4)/a^14 + (18*z^4)/a^12 + (27*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   (3*z^6)/a^14 + (18*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 14275] -> 
  1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - z^2 - z^2/a^8 + z^2/a^6 + 
   (8*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^8 + z^4/a^6 + 
   (8*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (6*z^6)/a^4 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 14276] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 6*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14277] -> 
  -2 + 4*a^2 - a^8 - 2*z^2 + 7*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 14278] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 - z^6/a^6 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 14279] -> 
  a^(-10) - 6/a^8 + 6/a^6 + a^(-4) - a^(-2) + z^2/a^12 - (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (19*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14280] -> 
  -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14281] -> -a^(-14) + 3/a^12 - a^(-10) - 4/a^8 + 
   2/a^6 + 2/a^4 - (2*z^2)/a^14 + (10*z^2)/a^12 - (6*z^2)/a^10 - 
   (10*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (13*z^4)/a^10 - (14*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14282] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - 
   (5*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (11*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14283] -> 
  -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 5*z^2 + (5*z^2)/a^8 - (17*z^2)/a^6 + 
   (11*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (14*z^4)/a^6 + 
   (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - z^6/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14284] -> 
  1 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4 - z^4/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14285] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (7*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (8*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14286] -> 
  6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 12*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + (3*z^6)/a^4 - (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14287] -> -a^(-14) + 3/a^12 - 2/a^10 - a^(-8) + 
   a^(-4) + a^(-2) - z^2/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14288] -> 
  a^(-12) - 2/a^10 + a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 14289] -> 4 - 2/a^2 - a^4 + 7*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 14290] -> 
  1 + a^(-8) - 2/a^6 - a^(-4) + 3/a^2 - a^2 + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14291] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 12*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14292] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - 
   (13*z^2)/a^8 + (19*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (23*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (14*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 14293] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + z^2 + z^2/a^2 - 11*a^2*z^2 + 18*a^4*z^2 - 
   6*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 20*a^4*z^4 - 6*a^6*z^4 - 
   7*z^6 + z^6/a^2 - a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14294] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 6*z^4 + z^4/a^4 + 2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 14295] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 14296] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14297] -> -3 - a^(-4) + 4/a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 14298] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - 6*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 11*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14299] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14300] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14301] -> -2 + 7*a^2 - 3*a^4 - 3*a^6 + 
   2*a^8 - 5*z^2 + 16*a^2*z^2 - 7*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 7*a^4*z^4 - 14*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14302] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14303] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - 
   4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (24*z^2)/a^4 + 
   (16*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (31*z^4)/a^4 + 
   (25*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14304] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14305] -> 
  -6 + a^(-2) + 10*a^2 - 3*a^4 - a^6 - 17*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 + 
   5*a^4*z^2 - 7*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 + 18*a^4*z^4 - 
   10*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14306] -> 3 - a^(-2) - a^2 + 2*a^4 - 4*a^6 + 2*a^8 + 
   6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14307] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 14308] -> -1 - 2/a^8 + 6/a^6 - 8/a^4 + 
   6/a^2 - 6*z^2 + z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (25*z^2)/a^4 + 
   (21*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (30*z^4)/a^4 + 
   (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14309] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 6*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (12*z^2)/a^4 + (8*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (14*z^4)/a^6 + 
   (14*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (10*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14310] -> 
  -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - z^2 - 3*a^2*z^2 + 26*a^4*z^2 - 
   32*a^6*z^2 + 11*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 19*a^4*z^4 - 34*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 14311] -> -1 + 3*a^2 + 3*a^4 - 7*a^6 + 3*a^8 - 3*z^2 + 
   9*a^2*z^2 + a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - z^4/a^2 + 8*a^2*z^4 - 
   4*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14312] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 14*z^2 - z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (19*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (23*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14313] -> 1 + a^(-6) - 6/a^4 + 7/a^2 - 2*a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (13*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 14314] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + z^2/a^2 + 14*a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 + 13*a^4*z^4 - 7*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14315] -> 
  -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + 19*a^2*z^2 - 23*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + z^4/a^2 + 24*a^2*z^4 - 26*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14316] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   2*a^2*z^2 + 14*a^4*z^2 - 8*a^6*z^2 - 7*z^4 + z^4/a^2 + 5*a^2*z^4 + 
   23*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14317] -> -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (19*z^2)/a^8 - (22*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (18*z^4)/a^8 - (18*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 14318] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14319] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (9*z^2)/a^4 + z^4 - (5*z^4)/a^8 + (11*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14320] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   11*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14321] -> -a^(-14) + 6/a^12 - 9/a^10 + 2/a^8 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (13*z^2)/a^12 - (20*z^2)/a^10 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (19*z^4)/a^10 - 
   (4*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14322] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   3*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 14323] -> 1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 
   3/a^2 + 2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (13*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - (11*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14324] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14325] -> a^(-6) - 3/a^4 + 2/a^2 + 3*a^2 - 2*a^4 - 
   9*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14326] -> a^2 + a^4 - a^6 - z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14327] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) - z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 14328] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   2/a^6 - 2/a^4 + a^(-2) + 2*z^2 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - (2*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14329] -> -a^(-14) + 5/a^12 - 6/a^10 + a^(-6) + 
   2/a^4 - (2*z^2)/a^14 + (12*z^2)/a^12 - (14*z^2)/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - 
   (10*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 14330] -> 1 - 3/a^8 + 6/a^6 - 3/a^4 + 
   2*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14331] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + 2/a^12 + 3/a^10 + a^(-8) + (8*z^2)/a^16 - 
   (30*z^2)/a^14 + (16*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - 
   (26*z^4)/a^14 + (32*z^4)/a^12 + (23*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   (5*z^6)/a^14 + (24*z^6)/a^12 + (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 14332] -> 
  2/a^10 - 4/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 + 
   z^2/a^10 - (9*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 14333] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 
   z^4 - (5*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14334] -> 
  11 + 2/a^4 - 9/a^2 - a^2 - 2*a^4 + 21*z^2 + (3*z^2)/a^4 - (17*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 14*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14335] -> 2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 4*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 14336] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   3*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14337] -> 
  1 + 2/a^6 - 6/a^4 + 5/a^2 - a^2 + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14338] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14339] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14340] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14341] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 5*z^2 + 21*a^2*z^2 - 23*a^4*z^2 + 
   8*a^6*z^2 + a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 21*a^4*z^4 - 4*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 10*a^2*z^6 - 12*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 14342] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   24*z^2 - z^2/a^8 + (7*z^2)/a^6 - (21*z^2)/a^4 + (30*z^2)/a^2 + 6*a^2*z^2 - 
   22*z^4 - z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14343] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + 20*a^2*z^2 - 24*a^4*z^2 + 
   9*a^6*z^2 + a^8*z^2 - z^4/a^2 + 14*a^2*z^4 - 23*a^4*z^4 + 2*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14344] -> 
  -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 25*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (20*z^2)/a^4 + (31*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (35*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 14345] -> -1 + 9*a^4 - 10*a^6 + 3*a^8 - 3*z^2 + 
   3*a^2*z^2 + 20*a^4*z^2 - 26*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 
   14*a^4*z^4 - 30*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 - 
   18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14346] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14347] -> -4 - a^(-4) + 4/a^2 + 4*a^2 - 
   4*a^4 + 2*a^6 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14348] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14349] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14350] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 20*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14351] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 
   23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14352] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 3*z^2 + 12*a^2*z^2 - 8*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 - z^4 - z^4/a^2 + 12*a^2*z^4 - 13*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 8*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14353] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 15*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (18*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14354] -> 
  -3 + a^(-2) + 8*a^2 - 8*a^4 + 3*a^6 - 15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   25*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 20*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   31*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14355] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 4*z^2 + 
   17*a^2*z^2 - 16*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - z^4 - z^4/a^2 + 
   14*a^2*z^4 - 17*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 
   9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14356] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 + z^2 - 
   14*a^2*z^2 + 31*a^4*z^2 - 12*a^6*z^2 - 3*z^4 + z^4/a^2 - 9*a^2*z^4 + 
   33*a^4*z^4 - 11*a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 + 19*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14357] -> 2 - 3*a^4 + 2*a^6 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   9*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14358] -> a^(-14) - 5/a^12 + 9/a^10 - 
   8/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 - (2*z^2)/a^12 + (15*z^2)/a^10 - 
   (18*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + 
   (5*z^4)/a^10 - (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14359] -> 
  -2 + 3/a^8 - 14/a^6 + 16/a^4 - 2/a^2 - 7*z^2 + (5*z^2)/a^8 - (33*z^2)/a^6 + 
   (46*z^2)/a^4 - (3*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (35*z^4)/a^6 + 
   (59*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (40*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 14360] -> 
  -1 + a^(-10) - 3/a^8 - 2/a^6 + 7/a^4 - a^(-2) - 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 - (2*z^2)/a^6 + (19*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (21*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 14361] -> -2/a^14 + 11/a^12 - 17/a^10 + 
   6/a^8 + 3/a^6 - (4*z^2)/a^14 + (27*z^2)/a^12 - (45*z^2)/a^10 + 
   (14*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (32*z^4)/a^12 - 
   (55*z^4)/a^10 + (7*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (38*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 14362] -> -a^(-14) + 5/a^12 - 5/a^10 - 3/a^8 + 4/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 - (8*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (12*z^4)/a^10 - 
   (14*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14363] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 - (3*z^2)/a^12 + (14*z^2)/a^10 - (16*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (4*z^4)/a^12 + (10*z^4)/a^10 - 
   (20*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14364] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (2*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 14365] -> -a^(-12) + 7/a^10 - 12/a^8 + 
   5/a^6 + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + 
   (9*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (24*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14366] -> -5 - a^(-8) + 3/a^6 - 4/a^4 + 6/a^2 + a^2 + 
   a^4 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14367] -> 
  a^(-10) - 4/a^6 + 3/a^4 + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - z^2/a^10 - 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14368] -> 
  1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   8*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14369] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   8*z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + 
   (25*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (28*z^4)/a^4 + 
   (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14370] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 21*z^2 + (5*z^2)/a^2 + 27*a^2*z^2 - 
   5*a^4*z^2 - 2*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 + 5*a^4*z^4 - 
   5*a^6*z^4 - 10*z^6 + z^6/a^2 + 12*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14371] -> 5 + a^(-4) - 4/a^2 - a^2 + a^4 - a^6 + 
   10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 
   7*z^4 + z^4/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 14372] -> -2 - a^(-8) + 7/a^6 - 14/a^4 + 
   11/a^2 - 5*z^2 + z^2/a^10 - (6*z^2)/a^8 + (20*z^2)/a^6 - (34*z^2)/a^4 + 
   (23*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (23*z^4)/a^6 - 
   (35*z^4)/a^4 + (21*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 14373] -> 5 + a^(-6) - 4/a^2 - a^2 + 
   8*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (9*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 14374] -> 
  -9 + 2/a^2 + 14*a^2 - 6*a^4 - 20*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 - 
   6*a^4*z^2 - a^6*z^2 - 15*z^4 + z^4/a^4 + 22*a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 - 3*z^6 - (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 14375] -> 
  -2 - a^(-8) + 7/a^6 - 14/a^4 + 11/a^2 - 6*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (19*z^2)/a^6 - (33*z^2)/a^4 + (24*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (35*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14376] -> 25 + 4/a^4 - 18/a^2 - 10*a^2 + 80*z^2 + 
   (12*z^2)/a^4 - (57*z^2)/a^2 - 29*a^2*z^2 + 118*z^4 + (13*z^4)/a^4 - 
   (76*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + (6*z^6)/a^4 - (50*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 14377] -> 
  8 + 2/a^4 - 8/a^2 + 2*a^2 - 3*a^4 + 22*z^2 + (5*z^2)/a^4 - (22*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 25*z^4 + (4*z^4)/a^4 - (23*z^4)/a^2 + 15*a^2*z^4 - 
   9*a^4*z^4 + 16*z^6 + z^6/a^4 - (11*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14378] -> -5*a^6 + 21*a^8 - 21*a^10 + 6*a^12 - 
   2*a^4*z^2 - 13*a^6*z^2 + 66*a^8*z^2 - 51*a^10*z^2 + 9*a^12*z^2 - 
   7*a^4*z^4 - 5*a^6*z^4 + 78*a^8*z^4 - 46*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 6*a^6*z^6 + 47*a^8*z^6 - 19*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 15*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 14379] -> -2*a^4 + 5*a^6 + 4*a^8 - 9*a^10 + 3*a^12 - 
   8*a^4*z^2 + 19*a^6*z^2 + 12*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 23*a^6*z^4 + 14*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 14380] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - z^2 - 6*a^2*z^2 + 21*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14381] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + 3*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 9*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14382] -> 
  -6*a^2 + 22*a^4 - 22*a^6 + 7*a^8 - 17*a^2*z^2 + 67*a^4*z^2 - 71*a^6*z^2 + 
   23*a^8*z^2 - 17*a^2*z^4 + 86*a^4*z^4 - 108*a^6*z^4 + 34*a^8*z^4 - 
   7*a^2*z^6 + 55*a^4*z^6 - 89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 14383] -> -2 + 4*a^2 + 5*a^4 - 10*a^6 + 4*a^8 - 
   5*z^2 + 12*a^2*z^2 + 11*a^4*z^2 - 29*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 + 2*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   7*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14384] -> 
  4/a^8 - 19/a^6 + 25/a^4 - 9/a^2 + (10*z^2)/a^8 - (55*z^2)/a^6 + 
   (83*z^2)/a^4 - (30*z^2)/a^2 + (12*z^4)/a^8 - (73*z^4)/a^6 + 
   (121*z^4)/a^4 - (39*z^4)/a^2 + (6*z^6)/a^8 - (49*z^6)/a^6 + (95*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 14385] -> -3 + 2/a^8 - 9/a^6 + 8/a^4 + 3/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (24*z^2)/a^6 + (25*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (24*z^4)/a^6 + (28*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14386] -> -4 + 14*a^2 - 12*a^4 + 2*a^6 + a^8 - 8*z^2 + 
   31*a^2*z^2 - 26*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 
   26*a^4*z^4 - 14*a^6*z^4 + 9*a^8*z^4 - z^6 + 12*a^2*z^6 - 16*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14387] -> 
  -6 + a^(-6) - 9/a^4 + 15/a^2 - 15*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (36*z^2)/a^2 - 14*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (38*z^4)/a^2 - 6*z^6 + z^6/a^8 - (9*z^6)/a^6 + (8*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 14388] -> 6 - 2/a^2 - 3*a^2 - a^6 + a^8 + 
   11*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 7*a^2*z^4 - 2*a^4*z^4 - 10*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14389] -> 6 - a^(-6) + a^(-4) - 2/a^2 - 3*a^2 + 
   12*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 + 11*z^4 + z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 14390] -> 
  -7 - 2/a^4 + 6/a^2 + 7*a^2 - 4*a^4 + a^6 - 23*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14391] -> 
  -2 - a^(-6) + 2/a^4 + 4*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 14392] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 8/a^6 - 4/a^4 + 2/a^2 - (2*z^2)/a^12 + 
   (10*z^2)/a^10 - (20*z^2)/a^8 + (24*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (10*z^4)/a^10 - (24*z^4)/a^8 + (28*z^4)/a^6 - (18*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (17*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 14393] -> -3 + 9*a^2 - 8*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + 
   z^2/a^2 + 25*a^2*z^2 - 23*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 29*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14394] -> 
  1 - a^(-2) + 3*a^2 - 3*a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 14395] -> 
  -12 + 2/a^6 - 9/a^4 + 15/a^2 + 7*a^2 - 2*a^4 - 31*z^2 + (4*z^2)/a^6 - 
   (19*z^2)/a^4 + (35*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (35*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14396] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 14397] -> 
  3 + 2/a^6 - 8/a^4 + 7/a^2 - 3*a^2 + 14*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (14*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 14398] -> 
  5 + a^(-6) - 3/a^4 - a^2 - a^4 + 11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14399] -> 
  2 - a^(-2) + 2*a^4 - 3*a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 + a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 4*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14400] -> 
  -5 - a^(-6) + a^(-4) + 3/a^2 + 4*a^2 - a^4 - 13*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 14401] -> -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 
   z^2 - z^2/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 14402] -> -a^4 + a^6 + 8*a^8 - 9*a^10 + 2*a^12 - 
   a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 + 23*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 15*a^6*z^4 + 25*a^8*z^4 - 16*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 14*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 14403] -> 
  -2*a^4 + 6*a^6 - 4*a^10 + a^12 - 2*a^2*z^2 + 14*a^6*z^2 + 3*a^8*z^2 - 
   7*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 4*a^4*z^4 + 13*a^6*z^4 + 
   4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 14404] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 21*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14405] -> 
  -2 - a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14406] -> 
  -2 + 5*a^2 - 3*a^6 + a^8 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 7*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 12*a^2*z^4 - 13*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14407] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (11*z^2)/a^8 - (42*z^2)/a^6 + 
   (51*z^2)/a^4 - (16*z^2)/a^2 + (13*z^4)/a^8 - (62*z^4)/a^6 + (80*z^4)/a^4 - 
   (25*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (69*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 14408] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (6*z^2)/a^8 - (20*z^2)/a^6 + 
   (17*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (18*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14409] -> 
  -1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 5/a^2 - 5*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (23*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14410] -> 
  -4 - a^(-4) + 3/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 17*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 23*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14411] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 
   7/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14412] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 7*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14413] -> -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 
   12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14414] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + z^2/a^12 - (5*z^2)/a^10 - 
   (2*z^2)/a^8 + (17*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - (6*z^4)/a^10 - 
   z^4/a^8 + (21*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + 
   (2*z^6)/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 14415] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 18*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   20*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (26*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14416] -> 
  -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - 5*z^2 + z^2/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 14417] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14418] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 14*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14419] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 6*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14420] -> 5*a^6 - 5*a^8 + a^10 + 2*z^2 - z^2/a^2 - 
   3*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 7*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 14421] -> 
  3 + a^(-8) - 2/a^6 + a^(-4) - a^(-2) - a^2 + 6*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14422] -> -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - z^4/a^2 + a^4*z^4 - a^6*z^4 + 
   a^8*z^4 + 2*z^6 - 3*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 14423] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 
   4*a^2 - 2*a^4 + a^6 - 14*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 14424] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   8*a^2*z^2 - 19*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 3*a^4*z^4 - 10*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 14425] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 5*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (9*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 14426] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 
   13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14427] -> 
  -1 + 2/a^6 - 8/a^4 + 9/a^2 - a^2 + 2*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (19*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (19*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 14428] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (14*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 14429] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 14*z^2 + 
   (3*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14430] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 
   4*a^2 - a^4 - 18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (26*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14431] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 24*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14432] -> 
  3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 6*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14433] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 14434] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 7*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (26*z^2)/a^4 + (24*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (30*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14435] -> -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 - z^2/a^2 + 
   16*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14436] -> 
  6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 21*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (10*z^2)/a^2 - 12*a^2*z^2 + 29*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (16*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 14437] -> 
  5 + a^(-6) - 3/a^4 - a^2 - a^4 + 12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - 
   3*a^4*z^2 + 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14438] -> 
  -3*a^4 + 9*a^6 - 2*a^8 - 5*a^10 + 2*a^12 - a^2*z^2 - 8*a^4*z^2 + 
   26*a^6*z^2 + 2*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - 
   4*a^4*z^4 + 28*a^6*z^4 + 9*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 15*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 14439] -> -a^2 + a^4 + 5*a^6 - 3*a^8 - 
   2*a^10 + a^12 - 4*a^2*z^2 + 5*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   5*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 7*a^4*z^4 + 12*a^6*z^4 + 
   a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 14440] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 14441] -> 
  -1 + 3*a^2 - a^6 - z^2/a^2 + 5*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14442] -> -3 + 8*a^2 - a^4 - 6*a^6 + 3*a^8 - 7*z^2 + 
   21*a^2*z^2 - 3*a^4*z^2 - 20*a^6*z^2 + 10*a^8*z^2 - 5*z^4 + 24*a^2*z^4 - 
   10*a^4*z^4 - 27*a^6*z^4 + 12*a^8*z^4 - z^6 + 12*a^2*z^6 - 12*a^4*z^6 - 
   19*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14443] -> 
  1 - a^(-2) + 4*a^2 - 2*a^4 - 3*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 - 7*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 12*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   8*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14444] -> 2/a^10 - 7/a^8 + 3/a^6 + 6/a^4 - 3/a^2 + 
   (4*z^2)/a^10 - (17*z^2)/a^8 + (10*z^2)/a^6 + (20*z^2)/a^4 - (10*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (15*z^4)/a^6 + (27*z^4)/a^4 - (12*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (13*z^6)/a^6 + (19*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 14445] -> -1 + a^(-10) - 3/a^8 - a^(-6) + 5/a^4 - 
   3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 + (14*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 14446] -> 
  5 - 2/a^2 - 3*a^4 + a^8 + 9*z^2 - (3*z^2)/a^2 + a^2*z^2 - 10*a^4*z^2 - 
   a^6*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 13*a^4*z^4 - 3*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14447] -> 
  -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 5*z^2 + z^2/a^10 - z^2/a^8 - 
   (8*z^2)/a^6 + (11*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - (4*z^4)/a^6 + (13*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 14448] -> 
  1 - a^(-4) + 2/a^2 - a^2 - a^6 + a^8 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   4*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 14449] -> 1 - a^(-6) + 2/a^2 - a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - (2*z^4)/a^8 + (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 14450] -> 
  2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14451] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 3*z^2 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14452] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 
   3/a^2 + a^2 - z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14453] -> -2 + 2/a^2 - 2*a^2 + 4*a^4 - a^8 - 5*z^2 + 
   (4*z^2)/a^2 - 8*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14454] -> 1 - 2/a^10 + 4/a^8 - a^(-6) - 2/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14455] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - 
   a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (4*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14456] -> 3 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 
   3/a^2 + 3*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (5*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14457] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + a^2 - z^2 - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14458] -> 2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14459] -> 4 - 7*a^2 + a^4 + 7*a^6 - 4*a^8 + 12*z^2 - 
   23*a^2*z^2 - 3*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 13*z^4 - 30*a^2*z^4 - 
   12*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 20*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 14460] -> 
  1 + a^(-2) - 4*a^2 + a^4 + 5*a^6 - 3*a^8 + (3*z^2)/a^2 - 12*a^2*z^2 + 
   3*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 14*a^2*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14461] -> 
  1 + a^(-2) - 5*a^2 + 4*a^4 + 2*a^6 - 2*a^8 - 2*z^2 + (4*z^2)/a^2 - 
   13*a^2*z^2 + 8*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (4*z^4)/a^2 - 
   15*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 - 
   9*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14462] -> -2 + 2/a^2 - 2*a^2 + 4*a^4 - a^8 - 6*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   6*z^4 + z^4/a^4 - 5*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 14463] -> 
  -a^(-14) + a^(-12) + 3/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + 
   (5*z^2)/a^12 + (3*z^2)/a^10 - (11*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 14464] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   2/a^6 - 2/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14465] -> -2 + 2/a^2 - a^2 + a^4 + 3*a^6 - 2*a^8 - 
   3*z^2 + (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 10*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14466] -> 2 + a^(-10) - 3/a^8 + 3/a^6 - 2/a^2 + 
   5*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14467] -> -7 + 3/a^2 + 5*a^2 + 2*a^4 - 2*a^6 - 
   16*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   16*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 14468] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 
   3*z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 14469] -> 
  -2 + 2/a^2 - a^2 + a^4 + 3*a^6 - 2*a^8 - 3*z^2 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 10*a^2*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14470] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14471] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - 
   (6*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14472] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14473] -> 
  2 + 2/a^6 - 4/a^4 + 2/a^2 - 2*a^2 + a^4 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^6 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14474] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 14475] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 2*z^2 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 14476] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   3/a^2 - 3*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 14477] -> 
  4 - a^(-8) + 4/a^6 - 4/a^4 - a^(-2) - a^2 + 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14478] -> 
  2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 3*z^2 - z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 14479] -> 2*a^2 - 4*a^4 + 7*a^6 - 7*a^8 + 5*a^10 - 
   2*a^12 + 5*a^2*z^2 - 12*a^4*z^2 + 21*a^6*z^2 - 20*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 25*a^6*z^4 - 26*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 14480] -> 1 - a^2 + a^4 + a^6 - 3*a^8 + 4*a^10 - 
   2*a^12 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 14481] -> 
  -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + z^2/a^4 + z^2/a^2 + 
   13*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 14482] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 3*z^2 + z^2/a^4 + 3*a^2*z^2 - 
   3*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[15, Alternating, 14483] -> a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + 
   2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - a^2*z^4 - a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 14484] -> 
  -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 23*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 
   23*a^2*z^2 - 7*a^4*z^2 - 29*z^4 + z^4/a^6 - (6*z^4)/a^4 + (22*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14485] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14486] -> 
  3*a^6 - 4*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + a^4*z^2 + 8*a^6*z^2 - 
   11*a^8*z^2 + 21*a^10*z^2 - 11*a^12*z^2 + 2*a^4*z^4 + 6*a^6*z^4 - 
   12*a^8*z^4 + 19*a^10*z^4 - a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 
   4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 14487] -> -8 + a^(-6) - 3/a^4 + 6/a^2 + 7*a^2 - 
   2*a^4 - 23*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14488] -> 
  -4 + 2/a^2 + 7*a^2 - 8*a^4 + 5*a^6 - a^8 - 13*z^2 + (3*z^2)/a^2 + 
   21*a^2*z^2 - 24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   28*a^2*z^4 - 27*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14489] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^2 + 2*a^4 - a^6 - 6*z^2 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 14490] -> 1 + a^(-4) - a^(-2) + a^2 - 
   4*a^4 + 4*a^6 - a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 14491] -> 
  -4 - 2/a^8 + 5/a^6 - 7/a^4 + 8/a^2 + a^2 - 13*z^2 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (20*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14492] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14493] -> 
  3*a^2 - 6*a^4 + 9*a^6 - 7*a^8 + 2*a^10 - z^2 + 9*a^2*z^2 - 21*a^4*z^2 + 
   26*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 28*a^4*z^4 + 
   28*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14494] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14495] -> 
  -11 - 2/a^4 + 7/a^2 + 14*a^2 - 10*a^4 + 3*a^6 - 29*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 32*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 30*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 32*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14496] -> 
  -12 - 2/a^4 + 7/a^2 + 15*a^2 - 9*a^4 + 2*a^6 - 32*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 34*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 34*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 32*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14497] -> 
  4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 - 2*z^2 + 14*a^2*z^2 - 28*a^4*z^2 + 
   27*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 16*a^2*z^4 - 34*a^4*z^4 + 
   27*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 19*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14498] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 19*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14499] -> 
  -5 + 2/a^6 - 6/a^4 + 9/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (16*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14500] -> 1 + 2/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^6 + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 14501] -> 
  -9 - 4/a^4 + 10/a^2 + 6*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (31*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (35*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14502] -> 
  -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14503] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 8*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   18*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14504] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 19*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14505] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 8*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   18*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14506] -> 2 - 4*a^4 + 5*a^6 - 3*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 10*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 14507] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + 3*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 14508] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 14509] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14510] -> 1 + a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14511] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14512] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14513] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 14514] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   18*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   23*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14515] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 - 
   a^2*z^2 + 2*a^4*z^2 + 14*a^6*z^2 - 18*a^8*z^2 + 7*a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 15*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 14516] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14517] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 2*z^2 + 13*a^2*z^2 - 21*a^4*z^2 + 
   11*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 
   14*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14518] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14519] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 14520] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14521] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 14522] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (20*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 14523] -> 1 + a^2 - 3*a^4 + 4*a^6 - 
   3*a^8 + a^10 + 2*z^2 - z^2/a^2 + a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 14524] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14525] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14526] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14527] -> 
  3 - 3*a^2 + a^6 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 14528] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 
   6*z^2 + z^2/a^2 + 16*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14529] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + z^4/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 14530] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 
   6*z^2 - z^2/a^4 - 5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14531] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 14532] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14533] -> 2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14534] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14535] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   11*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 14536] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14537] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14538] -> 1 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 12*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (16*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14539] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14540] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 13*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14541] -> 4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 14542] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (20*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 14543] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14544] -> 
  1 + a^2 - a^4 - a^6 + a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 4*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 14545] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14546] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 14547] -> 
  2 - a^2 - a^4 + a^6 + 3*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 12*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14548] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14549] -> 
  -a^(-4) + 2/a^2 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14550] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   15*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14551] -> 3 - a^(-2) - a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14552] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14553] -> 
  1 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14554] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 3*z^2 + 
   (6*z^2)/a^4 - (14*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 2*z^4 + 
   (9*z^4)/a^4 - (22*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14555] -> 
  3*a^2 - 3*a^4 + a^6 + 2*a^2*z^2 + 5*a^4*z^2 - 15*a^6*z^2 + 8*a^8*z^2 - 
   8*a^2*z^4 + 27*a^4*z^4 - 40*a^6*z^4 + 12*a^8*z^4 - 12*a^2*z^6 + 
   38*a^4*z^6 - 36*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 
   14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 14556] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - a^2*z^2 + 
   4*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 2*z^4 + a^2*z^4 + 5*a^4*z^4 - 
   15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14557] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 28*z^2 - 
   (7*z^2)/a^2 - 36*a^2*z^2 + 13*a^4*z^2 + 57*z^4 - (17*z^4)/a^2 - 
   62*a^2*z^4 + 16*a^4*z^4 + 58*z^6 - (17*z^6)/a^2 - 47*a^2*z^6 + 7*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 14558] -> 
  3 - 3*a^2 + a^6 + 13*z^2 - (4*z^2)/a^2 - 12*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 + 20*z^4 - (8*z^4)/a^2 - 9*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 14559] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 11*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14560] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2 + 
   2*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   20*a^4*z^4 + 5*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14561] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14562] -> 2 - a^2 - a^4 + a^6 - 2*z^2 + 5*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14563] -> 1 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 14564] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + 
   3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 14565] -> 1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 + 
   4*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 14566] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 
   4*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 4*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 14567] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14568] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14569] -> -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14570] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + 
   (5*z^2)/a^4 - (12*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 3*z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14571] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^10 - z^2/a^8 + (12*z^2)/a^6 - 
   (15*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (14*z^4)/a^6 - 
   (16*z^4)/a^4 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14572] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14573] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 16*z^2 + (5*z^2)/a^4 - (19*z^2)/a^2 + a^2*z^2 - 
   4*a^4*z^2 + 13*z^4 + (8*z^4)/a^4 - (22*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 
   z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14574] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 14575] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 14576] -> 
  3 + 2/a^4 - 4/a^2 + z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 14577] -> a^(-6) - a^(-4) + a^2 + z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 14578] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14579] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 
   2*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - a^4*z^2 + 3*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 14580] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 14581] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14582] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 14583] -> 
  -3 + a^(-4) + a^(-2) + 2*a^2 - a^4 + a^6 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14584] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   3*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   5*a^2*z^4 - 12*a^4*z^4 + 13*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14585] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 15*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14586] -> -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14587] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   2*z^2 - (6*z^2)/a^8 + (21*z^2)/a^6 - (21*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (19*z^4)/a^6 - (18*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14588] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14589] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 - z^2/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (14*z^4)/a^6 - (17*z^4)/a^4 - z^6/a^10 + z^6/a^8 + 
   (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14590] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 10*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14591] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14592] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 14593] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14594] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14595] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14596] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 + z^4/a^4 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14597] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14598] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + 
   (14*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14599] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 14600] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + 3*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 14601] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 14602] -> 1 + z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14603] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 14604] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 12*z^2 + z^2/a^4 + (6*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14605] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 14606] -> -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14607] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 5*z^2 + 
   (5*z^2)/a^4 - (12*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14608] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14609] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + z^4/a^10 - (12*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 14610] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 11*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14611] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   5*z^2 - z^2/a^6 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14612] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 9*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + (7*z^4)/a^4 - 
   (19*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 14613] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 + (8*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (12*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14614] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14615] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - (4*z^2)/a^8 + 
   (14*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14616] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   14*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (2*z^4)/a^4 + (5*z^4)/a^2 + 
   12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 
   2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 14617] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 14618] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - z^6/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 14619] -> -a^(-10) + a^(-8) + a^(-2) + 
   z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14620] -> a^(-12) - 3/a^10 + 3/a^6 - (3*z^2)/a^10 + 
   z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14621] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (7*z^2)/a^14 - (3*z^2)/a^12 + (12*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + (6*z^4)/a^12 + 
   (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 14622] -> 
  8 - 5/a^2 + 2*a^2 - 5*a^4 + a^6 + 21*z^2 - (12*z^2)/a^2 + 10*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 + 26*z^4 - (11*z^4)/a^2 + 16*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 + 17*z^6 - (5*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14623] -> 4 - 2/a^4 + a^(-2) - a^2 - a^4 + 11*z^2 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 13*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14624] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^14 - 
   z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14625] -> 
  a^(-14) - 4/a^12 + 3/a^10 + a^(-4) - z^2/a^14 - (4*z^2)/a^12 + 
   (10*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   (7*z^4)/a^10 - (3*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14626] -> 
  -2 - 3/a^6 + 5/a^4 + a^2 - 2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 14627] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (3*z^2)/a^10 + 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14628] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (47*z^2)/a^14 + (25*z^2)/a^12 + (18*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (38*z^4)/a^14 + (38*z^4)/a^12 + (29*z^4)/a^10 + (4*z^4)/a^8 - 
   (9*z^6)/a^14 + (24*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 14629] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 3/a^12 + 5/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (15*z^2)/a^14 - (3*z^2)/a^12 + (18*z^2)/a^10 + (6*z^2)/a^8 - 
   (9*z^4)/a^14 + (5*z^4)/a^12 + (22*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + 
   (5*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 14630] -> 18 + 3/a^4 - 14/a^2 - 4*a^2 - 2*a^4 + 
   49*z^2 + (7*z^2)/a^4 - (37*z^2)/a^2 - 6*a^2*z^2 - 6*a^4*z^2 + 59*z^4 + 
   (5*z^4)/a^4 - (38*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 39*z^6 + z^6/a^4 - 
   (18*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 14631] -> 
  9 + a^(-6) - 3/a^4 - 2/a^2 - 3*a^2 - a^4 + 21*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 22*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14632] -> 2/a^6 - 9/a^4 + 10/a^2 - 2*a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (19*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 14*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 11*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 14633] -> 1 + a^(-8) - 4/a^6 + 3/a^4 + 
   a^(-2) - a^2 + 4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^4*z^4 + 3*z^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 14634] -> 15 + 2/a^4 - 11/a^2 - 3*a^2 - 2*a^4 + 
   32*z^2 + (4*z^2)/a^4 - (23*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 24*z^4 + 
   (5*z^4)/a^4 - (19*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14635] -> 
  6 + a^(-6) - 4/a^4 + a^(-2) - 2*a^2 - a^4 + 11*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 14636] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 14637] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14638] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (19*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + 
   (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14639] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 30*z^2 + 
   (4*z^2)/a^4 - (21*z^2)/a^2 - 11*a^2*z^2 + 33*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (16*z^4)/a^2 - 10*a^2*z^4 + 18*z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 14640] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 5*z^2 + z^2/a^4 - (6*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14641] -> 
  -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 26*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 25*a^2*z^2 - 7*a^4*z^2 - 32*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (19*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14642] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 
   13*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 
   z^4/a^4 - z^4/a^2 + 21*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 14643] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 28*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (18*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14644] -> 
  -4*a^6 + 19*a^8 - 20*a^10 + 6*a^12 - a^4*z^2 - 11*a^6*z^2 + 58*a^8*z^2 - 
   47*a^10*z^2 + 9*a^12*z^2 - 4*a^4*z^4 - 8*a^6*z^4 + 69*a^8*z^4 - 
   42*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 2*a^6*z^6 + 42*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 14645] -> 
  -2*a^4 + 6*a^6 + 2*a^8 - 8*a^10 + 3*a^12 - 6*a^4*z^2 + 17*a^6*z^2 + 
   9*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 19*a^6*z^4 + 
   12*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 11*a^6*z^6 + 7*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 14646] -> -2 + 4/a^8 - 14/a^6 + 13/a^4 - 7*z^2 + 
   (8*z^2)/a^8 - (35*z^2)/a^6 + (37*z^2)/a^4 + (2*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (36*z^4)/a^6 + (47*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14647] -> 2/a^10 - 6/a^8 + 3/a^6 + 3/a^4 - a^(-2) - 
   2*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (8*z^2)/a^6 + (10*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + 
   (16*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + (12*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 14648] -> 1 + 2/a^8 - 7/a^6 + 6/a^4 - a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (14*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (11*z^4)/a^6 + (14*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 14649] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (6*z^2)/a^4 - a^2*z^2 - (3*z^4)/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 14650] -> -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14651] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 9*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14652] -> 
  a^(-16) - 7/a^12 + 6/a^10 + a^(-8) + (2*z^2)/a^16 - (9*z^2)/a^14 - 
   (8*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (10*z^4)/a^14 + 
   (8*z^4)/a^12 + (30*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (13*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 14653] -> 
  -1 + 2/a^8 - 8/a^6 + 8/a^4 - 3*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (15*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + 
   (10*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14654] -> 
  1 - a^(-10) + a^(-8) + 4/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   z^4/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14655] -> 2/a^14 - 7/a^12 + 6/a^10 - a^(-8) + a^(-4) - 
   (11*z^2)/a^12 + (20*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 - z^4/a^12 + (19*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 + (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14656] -> 1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 
   3*z^2 - z^2/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (6*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 14657] -> 10 + a^(-4) - 7/a^2 - a^2 - 
   2*a^4 + 19*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   12*z^4 + (4*z^4)/a^4 - (13*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 
   (3*z^6)/a^4 - (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14658] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14659] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 5*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14660] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14661] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 - 2*z^2 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14662] -> 
  -a^4 + 3*a^6 + 3*a^8 - 5*a^10 + a^12 - 5*a^4*z^2 + 14*a^6*z^2 + 
   10*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 19*a^6*z^4 + 
   13*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 13*a^6*z^6 + 
   9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 14663] -> -4 + a^(-8) - 4/a^6 + 8/a^2 - 11*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 + (23*z^2)/a^2 - 11*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14664] -> -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 4*z^2 + 
   18*a^2*z^2 - 25*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   23*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 14665] -> -a^4 + 2*a^6 + 7*a^8 - 10*a^10 + 
   3*a^12 - 4*a^4*z^2 + 9*a^6*z^2 + 19*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 
   a^2*z^4 - 5*a^4*z^4 + 15*a^6*z^4 + 19*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 - a^4*z^6 + 12*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 14666] -> 
  -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - z^2 + 12*a^4*z^2 - 13*a^6*z^2 + 4*a^8*z^2 - 
   2*z^4 + 5*a^2*z^4 + 7*a^4*z^4 - 16*a^6*z^4 + 6*a^8*z^4 - z^6 + 6*a^2*z^6 - 
   a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14667] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 5*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   2*z^4 + 9*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14668] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (17*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (15*z^4)/a^12 - (20*z^4)/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14669] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 + z^2 - 
   (3*z^2)/a^10 + (17*z^2)/a^8 - (16*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (15*z^4)/a^8 - (22*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (13*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14670] -> 
  2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + (3*z^2)/a^12 - (18*z^2)/a^10 + 
   (18*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (15*z^4)/a^10 + (23*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (13*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14671] -> 
  -a^(-12) + a^(-10) + 3/a^8 - 5/a^6 + a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (6*z^2)/a^10 + (3*z^2)/a^8 - (12*z^2)/a^6 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (14*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 14672] -> -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14673] -> 
  -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 4*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (19*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (23*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 14674] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 - z^4 - (4*z^4)/a^8 + z^4/a^6 + (11*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 14675] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (7*z^2)/a^12 - (26*z^2)/a^10 + (20*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^4)/a^12 - (32*z^4)/a^10 + (36*z^4)/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (17*z^6)/a^10 + (31*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 14676] -> 2/a^12 - 5/a^10 + 2/a^8 + 
   a^(-6) + a^(-4) + (3*z^2)/a^12 - (11*z^2)/a^10 + (5*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + (7*z^4)/a^8 + 
   (12*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14677] -> -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14678] -> 
  3/a^12 - 10/a^10 + 6/a^8 + 4/a^6 - 2/a^4 + (3*z^2)/a^12 - (21*z^2)/a^10 + 
   (21*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (15*z^4)/a^10 + (24*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (13*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14679] -> 
  a^(-12) - 3/a^10 - a^(-8) + 4/a^6 + a^(-4) - a^(-2) - z^2 + z^2/a^12 - 
   (7*z^2)/a^10 + (2*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4 - 
   (4*z^4)/a^10 + (5*z^4)/a^8 + (12*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 14680] -> 
  3/a^12 - 10/a^10 + 6/a^8 + 4/a^6 - 2/a^4 + (3*z^2)/a^12 - (21*z^2)/a^10 + 
   (21*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (15*z^4)/a^10 + (24*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (13*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14681] -> 
  a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 + (4*z^2)/a^8 + 
   (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14682] -> a^(-12) - 3/a^10 + 3/a^8 - 2/a^6 + a^(-4) + 
   a^(-2) - z^2 + z^2/a^12 - (5*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14683] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (10*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 14684] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 6*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 14685] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - z^4/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14686] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + z^4 - z^4/a^10 + z^4/a^8 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14687] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 14688] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14689] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 9*z^2 + z^2/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 5*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14690] -> 3 - a^(-4) - a^4 + 5*z^2 - z^2/a^4 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 14691] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - (6*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14692] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 14693] -> 
  -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 5*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (14*z^4)/a^6 + 
   (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14694] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^8 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14695] -> 
  -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 5*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (14*z^4)/a^6 + 
   (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14696] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + (2*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + 
   (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14697] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14698] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14699] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14700] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14701] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14702] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (6*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 14703] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14704] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 3*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   12*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - z^4/a^4 + (9*z^4)/a^2 - 
   18*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14705] -> -4 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 + a^2 + 
   a^4 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 14706] -> 
  -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (21*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14707] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14708] -> 
  2*a^2 - a^4 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14709] -> 
  -2*a^6 + 11*a^8 - 10*a^10 + 2*a^12 - a^4*z^2 - 6*a^6*z^2 + 42*a^8*z^2 - 
   30*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 - 4*a^6*z^4 + 55*a^8*z^4 - 
   32*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 36*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 14710] -> 
  -a^4 + 3*a^6 + 3*a^8 - 5*a^10 + a^12 - 4*a^4*z^2 + 13*a^6*z^2 + 9*a^8*z^2 - 
   11*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 16*a^6*z^4 + 10*a^8*z^4 - 
   9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 14711] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^4 + 14*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 14712] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + 
   a^10 - z^2 + 5*a^2*z^2 - 11*a^4*z^2 + 21*a^6*z^2 - 12*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 18*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + 
   a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14713] -> 2 - a^(-4) + 2*a^2 - 2*a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14714] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - 2*z^2 - z^2/a^6 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 + 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 14715] -> -a^(-10) + 6/a^8 - 8/a^6 + a^(-4) + 3/a^2 - 
   (4*z^2)/a^10 + (24*z^2)/a^8 - (29*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (32*z^4)/a^8 - (47*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6/a^10 + (17*z^6)/a^8 - (37*z^6)/a^6 - (13*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^8 - (14*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 14716] -> 1 - a^(-10) + 5/a^8 - 5/a^6 - 
   a^(-4) + 2/a^2 + 3*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (10*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - 
   (11*z^4)/a^6 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14717] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14718] -> -2/a^10 + 9/a^8 - 10/a^6 + 4/a^2 - 
   (5*z^2)/a^10 + (26*z^2)/a^8 - (27*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (41*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (33*z^6)/a^6 - (15*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 14719] -> 2 - a^(-10) + 4/a^8 - 2/a^6 - 
   3/a^4 + a^(-2) + 5*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 - 
   (8*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 - z^4/a^10 + (10*z^4)/a^8 - 
   (12*z^4)/a^6 - (12*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (8*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 14720] -> 1 - a^(-10) + 4/a^8 - 3/a^6 - 
   a^(-2) + a^2 - z^2 - z^2/a^10 + (7*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 14721] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - (4*z^2)/a^14 + (18*z^2)/a^12 - 
   (25*z^2)/a^10 + (6*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + 
   (27*z^4)/a^12 - (37*z^4)/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (31*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 14722] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (9*z^2)/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (8*z^4)/a^10 - 
   (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14723] -> -2/a^14 + 8/a^12 - 10/a^10 + a^(-8) + 
   4/a^6 - (4*z^2)/a^14 + (19*z^2)/a^12 - (24*z^2)/a^10 + z^2/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (32*z^4)/a^10 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (27*z^6)/a^10 - 
   (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 14724] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14725] -> -a^(-14) + 3/a^12 - 3/a^10 + a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + 
   z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14726] -> 
  -a^4 + a^6 + 8*a^8 - 9*a^10 + 2*a^12 - 5*a^4*z^2 + 6*a^6*z^2 + 31*a^8*z^2 - 
   27*a^10*z^2 + 5*a^12*z^2 - 8*a^4*z^4 + 9*a^6*z^4 + 46*a^8*z^4 - 
   31*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 34*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 14727] -> 
  -2*a^4 + 6*a^6 - 4*a^10 + a^12 - a^2*z^2 - 3*a^4*z^2 + 16*a^6*z^2 + 
   5*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   18*a^6*z^4 + 8*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 14728] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   10*z^2 - z^2/a^6 + (4*z^2)/a^4 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 14729] -> -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 
   3*z^2 + 11*a^2*z^2 - 16*a^4*z^2 + 22*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 20*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14730] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 15*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 + 7*a^4*z^4 - 
   6*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14731] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 14732] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 5*z^2 + 15*a^2*z^2 - 5*a^4*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 6*a^4*z^4 - 13*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 14733] -> 3 - a^(-2) - 2*a^2 + 3*a^4 - 3*a^6 + a^8 + 
   6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 
   5*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14734] -> 2/a^8 - 11/a^6 + 15/a^4 - 5/a^2 + 
   (7*z^2)/a^8 - (37*z^2)/a^6 + (56*z^2)/a^4 - (20*z^2)/a^2 + (9*z^4)/a^8 - 
   (54*z^4)/a^6 + (88*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 14735] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 5*z^2 + 
   (4*z^2)/a^8 - (18*z^2)/a^6 + (21*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (19*z^4)/a^6 + (23*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (14*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14736] -> -2/a^4 + 3/a^2 + 2*a^2 - 3*a^4 + a^6 - 
   9*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14737] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (8*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + (9*z^4)/a^6 - 
   (8*z^4)/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 14738] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   4*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 14739] -> 
  -1 - 2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 + a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14740] -> 
  -2 + 2/a^8 - 10/a^6 + 11/a^4 - 7*z^2 + (4*z^2)/a^8 - (24*z^2)/a^6 + 
   (31*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (26*z^4)/a^6 + 
   (40*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (30*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 14741] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (8*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + 
   (20*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (20*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 14742] -> 3/a^12 - 11/a^10 + 9/a^8 + a^(-6) - a^(-4) + 
   (4*z^2)/a^12 - (25*z^2)/a^10 + (29*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (24*z^4)/a^10 + (38*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (27*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 14743] -> -a^(-10) + 2/a^6 - a^(-4) + 
   a^(-2) - (2*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 14744] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 + (2*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14745] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (2*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (7*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 14746] -> -a^(-12) + 2/a^10 - a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 14747] -> 
  -2*a^4 + 6*a^6 - 4*a^10 + a^12 - 6*a^4*z^2 + 17*a^6*z^2 + 8*a^8*z^2 - 
   12*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 + 13*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 13*a^6*z^6 + 9*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 14748] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14749] -> 
  -1 + 10*a^4 - 12*a^6 + 4*a^8 - 3*z^2 + 2*a^2*z^2 + 23*a^4*z^2 - 
   30*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 17*a^4*z^4 - 32*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 14750] -> 20 + 3/a^4 - 14/a^2 - 8*a^2 + 67*z^2 + 
   (9*z^2)/a^4 - (46*z^2)/a^2 - 25*a^2*z^2 + 99*z^4 + (10*z^4)/a^4 - 
   (61*z^4)/a^2 - 32*a^2*z^4 + 79*z^6 + (5*z^6)/a^4 - (41*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 14751] -> 
  -2 + 5*a^2 + 2*a^4 - 7*a^6 + 3*a^8 - 5*z^2 + 14*a^2*z^2 + 3*a^4*z^2 - 
   20*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - a^4*z^4 - 26*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 14752] -> 2 - a^(-2) + 2*a^2 - 2*a^4 - a^6 + a^8 + 
   5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 
   5*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14753] -> 3/a^8 - 15/a^6 + 20/a^4 - 7/a^2 + 
   (8*z^2)/a^8 - (45*z^2)/a^6 + (69*z^2)/a^4 - (25*z^2)/a^2 + (9*z^4)/a^8 - 
   (59*z^4)/a^6 + (101*z^4)/a^4 - (33*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + 
   (80*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 14754] -> -3 + a^(-8) - 5/a^6 + 3/a^4 + 5/a^2 - 
   10*z^2 + (4*z^2)/a^8 - (17*z^2)/a^6 + (13*z^2)/a^4 + (16*z^2)/a^2 - 
   11*z^4 + (3*z^4)/a^8 - (19*z^4)/a^6 + (18*z^4)/a^4 + (23*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14755] -> -a^4 + a^6 + 9*a^8 - 11*a^10 + 3*a^12 - 
   5*a^4*z^2 + 9*a^6*z^2 + 23*a^8*z^2 - 21*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   6*a^4*z^4 + 17*a^6*z^4 + 22*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 13*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 14756] -> -4 - 5/a^4 + 10/a^2 - 11*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + (26*z^2)/a^2 - 11*z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (29*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14757] -> -8 - 2/a^4 + 7/a^2 + 4*a^2 + a^4 - a^6 - 
   15*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 12*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 10*a^2*z^6 - a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 14758] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 14759] -> 
  -3 - a^(-8) + 2/a^6 - 3/a^4 + 5/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14760] -> 
  -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 6*z^2 + z^2/a^2 + 14*a^2*z^2 - 
   10*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14761] -> -2 - a^(-4) + 2/a^2 + 5*a^2 - 4*a^4 + a^6 - 
   10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14762] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + a^(-4) - z^2/a^14 - 
   (4*z^2)/a^12 + (15*z^2)/a^10 - (14*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (4*z^4)/a^12 + (11*z^4)/a^10 - (19*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14763] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + a^(-6) + 2/a^4 - z^2/a^14 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14764] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 14765] -> 2/a^14 - 7/a^12 + 7/a^10 - 
   4/a^8 + 3/a^6 - (10*z^2)/a^12 + (19*z^2)/a^10 - (11*z^2)/a^8 + 
   (10*z^2)/a^6 - (3*z^4)/a^14 + (4*z^4)/a^12 + (15*z^4)/a^10 - 
   (15*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 14766] -> 
  a^(-14) - 3/a^12 + a^(-10) + a^(-8) + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + 
   (4*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14767] -> -a^(-16) + 6/a^14 - 13/a^12 + 12/a^10 - 
   7/a^8 + 4/a^6 + (4*z^2)/a^14 - (21*z^2)/a^12 + (31*z^2)/a^10 - 
   (19*z^2)/a^8 + (12*z^2)/a^6 - (2*z^4)/a^14 - (4*z^4)/a^12 + 
   (26*z^4)/a^10 - (22*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (6*z^6)/a^12 + 
   (5*z^6)/a^10 - (15*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (3*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 14768] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 - (7*z^2)/a^10 + (14*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (4*z^4)/a^12 - (3*z^4)/a^10 + (9*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - (2*z^6)/a^10 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, Knot[15, Alternating, 14769] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 - z^4/a^10 + z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, Knot[15, Alternating, 14770] -> 
  4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 13*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + 
   (12*z^2)/a^2 - 8*a^2*z^2 + 20*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (13*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 14771] -> 
  3 + a^(-6) - 3/a^4 + a^(-2) - a^4 + 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   2*a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + 2*a^2*z^4 - 2*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 14772] -> 2 - a^(-2) - a^2 + 4*a^4 - 
   4*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 + 5*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14773] -> 2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   4*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 
   4*z^4 - z^4/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14774] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 
   8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 14775] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 14*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 - 12*z^4 + z^4/a^4 + 19*a^2*z^4 - 2*a^6*z^4 - 
   3*z^6 - (2*z^6)/a^2 + 10*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 14776] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 14777] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14778] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 14779] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (19*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 14780] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + 
   a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14781] -> 
  1 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 14782] -> -1 + 9*a^4 - 10*a^6 + 3*a^8 - 
   4*z^2 + 5*a^2*z^2 + 18*a^4*z^2 - 24*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 
   12*a^2*z^4 + 10*a^4*z^4 - 26*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   2*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14783] -> 
  -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - a^4*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 5*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14784] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 5*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (15*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 14785] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 6*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14786] -> -2 + 4*a^2 + 4*a^4 - 8*a^6 + 3*a^8 - 5*z^2 + 
   11*a^2*z^2 + 9*a^4*z^2 - 21*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 
   5*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14787] -> 
  2 - a^(-2) + 3*a^4 - 5*a^6 + 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 14788] -> 
  a^(-6) - 4/a^4 + 4/a^2 + a^2 - a^4 - z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14789] -> 1 - a^(-2) + 5*a^2 - 5*a^4 + a^8 + 
   3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 16*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 19*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 14790] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 14791] -> -2*a^4 + 5*a^6 + 3*a^8 - 
   7*a^10 + 2*a^12 - a^2*z^2 - 5*a^4*z^2 + 16*a^6*z^2 + 13*a^8*z^2 - 
   17*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 5*a^4*z^4 + 22*a^6*z^4 + 
   17*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 15*a^6*z^6 + 11*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 14792] -> -2 + a^(-10) - 5/a^8 + 8/a^6 - 8/a^4 + 
   7/a^2 - 5*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - 
   (19*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (20*z^4)/a^6 - (21*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 14793] -> 
  3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 6*z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 14794] -> 
  2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14795] -> 4 - 7*a^2 + 2*a^4 + 5*a^6 - 3*a^8 + 11*z^2 - 
   22*a^2*z^2 - a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 + 12*z^4 - 28*a^2*z^4 - 
   10*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 19*a^2*z^6 - 12*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 14796] -> 
  1 + a^(-2) - 4*a^2 + 2*a^4 + 3*a^6 - 2*a^8 - z^2 + (3*z^2)/a^2 - 
   11*a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 
   13*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 14797] -> -2 + 2/a^2 - a^2 + 2*a^4 + a^6 - a^8 - 
   4*z^2 + (3*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 14798] -> -3/a^10 + 7/a^8 - 3/a^6 - 4/a^4 + 
   4/a^2 - (8*z^2)/a^10 + (21*z^2)/a^8 - (4*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 - (11*z^4)/a^10 + (25*z^4)/a^8 + (3*z^4)/a^6 - (26*z^4)/a^4 + 
   (6*z^4)/a^2 - (6*z^6)/a^10 + (18*z^6)/a^8 + (10*z^6)/a^6 - (13*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (7*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 14799] -> 1 - 2/a^10 + 4/a^8 - 4/a^4 + 
   2/a^2 + 3*z^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 + z^4 - (4*z^4)/a^10 + (6*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14800] -> 2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 
   3*z^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14801] -> 2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14802] -> -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   a^4 - 5*z^2 - (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 14803] -> 
  1 + a^(-4) - a^(-2) - a^2 + 2*a^6 - a^8 - z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 14804] -> -a^(-10) + 2/a^8 - a^(-4) + a^2 - 2*z^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14805] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + a^2 + 2*a^4 - 
   a^6 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14806] -> -2 + 2/a^2 - a^2 + 2*a^4 + a^6 - a^8 - 
   5*z^2 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^4 - 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 14807] -> 
  2 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^2 + 3*z^2 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 14808] -> -6 + 3/a^2 + 3*a^2 + 3*a^4 - 
   2*a^6 - 15*z^2 + z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 15*z^4 + (3*z^4)/a^4 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 14809] -> -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 
   5*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 14810] -> 
  3 - 2/a^8 + 6/a^6 - 4/a^4 - 2/a^2 + 4*z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (9*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (14*z^4)/a^6 - (5*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14811] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 
   z^2 - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 14812] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + a^2 + 2*a^4 - a^6 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14813] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14814] -> 5 - 2/a^8 + 7/a^6 - 8/a^4 + a^(-2) - 2*a^2 + 
   9*z^2 + (9*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (15*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14815] -> 4 + a^(-10) - 5/a^8 + 9/a^6 - 4/a^4 - 
   4/a^2 + 4*z^2 - (7*z^2)/a^8 + (16*z^2)/a^6 - (6*z^2)/a^4 - (10*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14816] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^10 + z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 14817] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 2*z^2 - z^2/a^10 + z^2/a^6 - 
   z^2/a^4 - 2*a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[15, Alternating, 14818] -> 
  3*a^6 - 5*a^8 + 8*a^10 - 6*a^12 + a^14 + 10*a^6*z^2 - 14*a^8*z^2 + 
   23*a^10*z^2 - 6*a^12*z^2 - 3*a^14*z^2 + 12*a^6*z^4 - 16*a^8*z^4 + 
   19*a^10*z^4 + 8*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 13*a^8*z^6 + 
   a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 4*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 14819] -> 
  a^4 + 2*a^10 - 2*a^12 + 3*a^4*z^2 + 2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 - a^8*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 14820] -> 2*a^4 - 3*a^6 + 5*a^8 - 4*a^10 + 
   2*a^12 - a^14 + 5*a^4*z^2 - 7*a^6*z^2 + 13*a^8*z^2 - 5*a^10*z^2 + 
   4*a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 7*a^6*z^4 + 9*a^8*z^4 - 2*a^10*z^4 + 
   5*a^12*z^4 - a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 14821] -> 
  4*a^6 - 8*a^8 + 13*a^10 - 12*a^12 + 5*a^14 - a^16 + 12*a^6*z^2 - 
   21*a^8*z^2 + 34*a^10*z^2 - 18*a^12*z^2 + 2*a^14*z^2 + 13*a^6*z^4 - 
   23*a^8*z^4 + 29*a^10*z^4 - a^12*z^4 - 3*a^14*z^4 + 6*a^6*z^6 - 
   15*a^8*z^6 + 6*a^10*z^6 + 7*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   3*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 14822] -> a^2 - a^4 + 2*a^6 - a^8 + a^12 - a^14 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 3*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 14823] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   25*z^2 + z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   29*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 14*a^2*z^4 - 
   a^4*z^4 - 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14824] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14825] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 14826] -> -14 + a^(-6) - 5/a^4 + 11/a^2 + 12*a^2 - 
   4*a^4 - 35*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (30*z^2)/a^2 + 22*a^2*z^2 - 
   4*a^4*z^2 - 34*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (32*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14827] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - z^4 - (2*z^4)/a^4 + z^4/a^2 - 3*a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[15, Alternating, 14828] -> 3*a^6 - 5*a^8 + 8*a^10 - 6*a^12 + 
   a^14 + 10*a^6*z^2 - 12*a^8*z^2 + 21*a^10*z^2 - 8*a^12*z^2 - a^14*z^2 + 
   2*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 18*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 14829] -> a^4 + 2*a^10 - 2*a^12 + 
   3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 14830] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 23*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (18*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 28*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (23*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14831] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - 
   a^6 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 14832] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 23*z^2 - z^2/a^4 + (9*z^2)/a^2 + 25*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 31*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 27*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14833] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 11*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   9*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 14834] -> -8 + 4/a^2 + 8*a^2 - 4*a^4 + a^8 - 21*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   8*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 14835] -> -8 - 4/a^4 + 10/a^2 + 4*a^2 - a^4 - 20*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   23*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (32*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14836] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14837] -> 
  -4 + 14*a^2 - 16*a^4 + 10*a^6 - 3*a^8 - 15*z^2 + (2*z^2)/a^2 + 37*a^2*z^2 - 
   34*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 38*a^2*z^4 - 
   30*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 20*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14838] -> -1 + 2/a^4 - 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 14839] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 - z^2 + 6*a^2*z^2 - 12*a^4*z^2 + 
   18*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 19*a^4*z^4 + 
   22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14840] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14841] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14842] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 
   22*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 14843] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 14844] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 14845] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   2*z^2 + 8*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 9*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14846] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 14847] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 
   4*a^6*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14848] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14849] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   9*a^2*z^4 - 11*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14850] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 14851] -> 4*a^2 - 5*a^4 + 2*a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14852] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 14853] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14854] -> 
  2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + a^4*z^2 + 12*a^6*z^2 - 17*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 22*a^6*z^4 - 
   19*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14855] -> 4*a^4 - 5*a^6 + 2*a^8 + a^10 - a^12 - 
   a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   4*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14856] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14857] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 14858] -> 3 - a^(-2) + a^2 - 4*a^4 + 
   2*a^6 + 9*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 
   12*z^4 - (5*z^4)/a^2 - a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 14859] -> 
  5 - a^(-2) - 4*a^2 + a^6 + 5*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14860] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14861] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 7*z^2 + z^2/a^2 + 14*a^2*z^2 - 
   18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14862] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 15*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14863] -> 
  1 + 3*a^2 - 6*a^4 + 4*a^6 - 2*a^8 + a^10 - z^2 + 7*a^2*z^2 - 17*a^4*z^2 + 
   14*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 20*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14864] -> 3 - 2*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + a^10 + 
   3*z^2 - z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14865] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 + 6*a^2*z^2 - 18*a^4*z^2 + 18*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 23*a^4*z^4 + 20*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 14866] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14867] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14868] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 - 2*a^4*z^2 + 9*z^4 + (6*z^4)/a^4 - 
   (17*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 14869] -> a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 14870] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14871] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14872] -> a^(-2) - a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 14873] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (20*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 14874] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14875] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14876] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14877] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14878] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 14879] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 - a^2*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 14880] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14881] -> a^(-2) - a^6 + a^8 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 14882] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + z^2/a^2 + 16*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 14883] -> 
  4*a^4 - 4*a^6 + 2*a^10 - a^12 + 3*a^4*z^2 + 4*a^6*z^2 - 10*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 18*a^6*z^4 - 16*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 14884] -> 
  2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + a^2*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 
   4*a^10*z^2 + z^4 - 3*a^2*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 14885] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14886] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14887] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 14888] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 14889] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 14890] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 14891] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14892] -> 
  4 - 6*a^2 + 3*a^4 + 4*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 17*a^2*z^2 + 
   7*a^4*z^2 + 4*z^4 - (7*z^4)/a^4 + (14*z^4)/a^2 - 20*a^2*z^4 + 5*a^4*z^4 + 
   7*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 14893] -> 1 + a^(-2) - 2*a^2 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14894] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14895] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14896] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14897] -> 
  -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 
   a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 14898] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 14899] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14900] -> -a^(-4) + 2/a^2 - 7*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14901] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 
   8*z^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 14902] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - z^4/a^4 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14903] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 14904] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 8*z^4 - z^4/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 14905] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 3*z^2 + 15*a^2*z^2 - 22*a^4*z^2 + 
   10*a^6*z^2 - 6*z^4 + 19*a^2*z^4 - 20*a^4*z^4 + 2*a^8*z^4 - 4*z^6 + 
   13*a^2*z^6 - 5*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14906] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 14907] -> 
  3 + 2/a^4 - 4/a^2 + 9*z^2 + (5*z^2)/a^4 - (16*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 8*z^4 + (8*z^4)/a^4 - (21*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14908] -> a^(-6) - a^(-4) + a^2 + 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 14909] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 14910] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + 
   (15*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 14911] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 14912] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 12*z^4 - z^4/a^6 - (2*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 14913] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14914] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 14915] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 + a^4*z^2 - 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 14916] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 12*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 14917] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - z^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - (4*z^4)/a^2 + a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14918] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^4 - 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14919] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 14920] -> 1 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 14921] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 14922] -> 
  6 - 4/a^2 + 2*a^2 - 3*a^4 + 18*z^2 - (11*z^2)/a^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 + 24*z^4 - (10*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 14923] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 11*z^2 - 
   (3*z^2)/a^4 + 2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 12*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 14924] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (23*z^2)/a^14 + (16*z^2)/a^12 + (15*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^4)/a^16 - (15*z^4)/a^14 + (30*z^4)/a^12 + 
   (23*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + (20*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 14925] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) - 
   (9*z^2)/a^14 + (3*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 14926] -> -a^(-6) - a^(-4) + 4/a^2 - a^2 + 
   z^2 - (2*z^2)/a^6 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 14927] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + a^(-12) + 5/a^10 + (6*z^2)/a^16 - 
   (26*z^2)/a^14 + (14*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (17*z^4)/a^14 + (26*z^4)/a^12 + (22*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (18*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 14928] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (6*z^2)/a^14 + (10*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (7*z^4)/a^12 + 
   (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 14929] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) - z^2/a^16 - (3*z^2)/a^14 + 
   (3*z^2)/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (4*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 14930] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   17*z^2 - (2*z^2)/a^6 - z^2/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14931] -> 8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 14932] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 
   2*a^8 - z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + 4*z^4 - 
   2*a^2*z^4 - 12*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 
   10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 14933] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 14934] -> 8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 14935] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 
   4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14936] -> 
  -2/a^18 + 12/a^16 - 21/a^14 + 9/a^12 + 3/a^10 - z^2/a^18 + (19*z^2)/a^16 - 
   (61*z^2)/a^14 + (42*z^2)/a^12 + (13*z^2)/a^10 + (5*z^4)/a^16 - 
   (57*z^4)/a^14 + (73*z^4)/a^12 + (22*z^4)/a^10 - (3*z^6)/a^16 - 
   (16*z^6)/a^14 + (59*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + 
   (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 14937] -> -a^(-18) + 6/a^16 - 9/a^14 + 4/a^10 + 
   a^(-8) + (6*z^2)/a^16 - (22*z^2)/a^14 + (5*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (15*z^4)/a^14 + (16*z^4)/a^12 + (28*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (15*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 14938] -> 3/a^14 - 9/a^12 + 5/a^10 + 2/a^8 + 
   z^2/a^16 - (3*z^2)/a^14 - (13*z^2)/a^12 + (18*z^2)/a^10 + (7*z^2)/a^8 - 
   z^4/a^16 - (6*z^4)/a^14 + (2*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^16 + (9*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 14939] -> 
  a^(-16) - 3/a^14 + 3/a^12 - 4/a^10 + 3/a^8 + a^(-6) - (5*z^2)/a^14 + 
   (5*z^2)/a^12 - (3*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (6*z^4)/a^12 + (4*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 14940] -> a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 + 
   z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - 
   z^4/a^10 + (17*z^4)/a^6 - (30*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + z^6/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 14941] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 4*z^2 + 
   z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 14942] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 
   23*z^2 - (2*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 14943] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 6*z^2 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 6*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 14944] -> 
  11 - 3/a^2 - 11*a^2 + 4*a^4 + 34*z^2 - (7*z^2)/a^2 - 45*a^2*z^2 + 
   17*a^4*z^2 + 49*z^4 - (8*z^4)/a^2 - 77*a^2*z^4 + 26*a^4*z^4 + 37*z^6 - 
   (5*z^6)/a^2 - 69*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 14945] -> 3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + 3*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 19*a^2*z^2 + 9*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 14946] -> 
  -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 16*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 12*a^2*z^4 + 
   7*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 14947] -> -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 - 
   z^2 - z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 
   2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 14948] -> -2 + 4*a^2 + a^4 - 2*a^6 - 
   6*z^2 + 9*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14949] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 7*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 
   13*a^4*z^2 - 5*a^6*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   11*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 14950] -> 
  9 + a^(-6) - 4/a^4 - 5*a^2 + 24*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 - 12*a^2*z^2 + 29*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 14951] -> 5 - 3/a^2 + a^2 - 2*a^4 + 13*z^2 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 14*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 14952] -> 
  4/a^8 - 20/a^6 + 27/a^4 - 10/a^2 + (9*z^2)/a^8 - (57*z^2)/a^6 + 
   (91*z^2)/a^4 - (34*z^2)/a^2 + (9*z^4)/a^8 - (70*z^4)/a^6 + (130*z^4)/a^4 - 
   (43*z^4)/a^2 + (5*z^6)/a^8 - (45*z^6)/a^6 + (100*z^6)/a^4 - (26*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + 
   (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 14953] -> 
  -3 + 2/a^8 - 10/a^6 + 10/a^4 + 2/a^2 - 10*z^2 + (4*z^2)/a^8 - 
   (24*z^2)/a^6 + (28*z^2)/a^4 + (10*z^2)/a^2 - 11*z^4 + (3*z^4)/a^8 - 
   (23*z^4)/a^6 + (32*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (19*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14954] -> -6 - 7/a^4 + 14/a^2 - 15*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (34*z^2)/a^2 - 14*z^4 + (2*z^4)/a^8 - 
   (11*z^4)/a^6 + (3*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (9*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14955] -> 6 - 2/a^6 + 3/a^4 - 3/a^2 - 3*a^2 + 12*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 11*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 14956] -> 1 + a^(-6) - 2/a^4 + 3*a^2 - 
   2*a^4 - 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 14957] -> 1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 + z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 14958] -> 
  -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 14959] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 14*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 14960] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 14961] -> a^(-14) - 5/a^12 + 8/a^10 - 7/a^8 + 3/a^6 + 
   a^(-4) - (7*z^2)/a^12 + (20*z^2)/a^10 - (18*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (2*z^4)/a^12 + (14*z^4)/a^10 - (21*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (14*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 14962] -> 
  -5 - 2/a^4 + 6/a^2 + 3*a^2 - 2*a^4 + a^6 - 17*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14963] -> -a^(-6) + 2/a^4 - a^4 + a^6 - z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 14964] -> -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + 
   a^(-6) + a^(-4) - z^2/a^14 + (8*z^2)/a^12 - (14*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (13*z^4)/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 14965] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (15*z^2)/a^14 + (4*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (14*z^4)/a^14 + (21*z^4)/a^12 + (26*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (19*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 14966] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 14967] -> -2/a^18 + 11/a^16 - 18/a^14 + 
   6/a^12 + 4/a^10 - z^2/a^18 + (17*z^2)/a^16 - (53*z^2)/a^14 + 
   (33*z^2)/a^12 + (16*z^2)/a^10 + (4*z^4)/a^16 - (50*z^4)/a^14 + 
   (63*z^4)/a^12 + (25*z^4)/a^10 - (3*z^6)/a^16 - (14*z^6)/a^14 + 
   (54*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (21*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 14968] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (8*z^2)/a^14 - (3*z^2)/a^12 + (14*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (6*z^4)/a^14 + (9*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 14969] -> -a^(-18) + 7/a^16 - 13/a^14 + 5/a^12 + 
   2/a^10 + a^(-8) + (7*z^2)/a^16 - (31*z^2)/a^14 + (20*z^2)/a^12 + 
   (12*z^2)/a^10 + (4*z^2)/a^8 - (24*z^4)/a^14 + (35*z^4)/a^12 + 
   (22*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (25*z^6)/a^12 + 
   (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 14970] -> -a^(-18) + 6/a^16 - 10/a^14 + 
   3/a^12 + a^(-10) + 2/a^8 + (6*z^2)/a^16 - (24*z^2)/a^14 + (13*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + (23*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (17*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 14971] -> a^(-16) - 2/a^14 - a^(-12) + 
   a^(-10) + a^(-8) + a^(-6) - (5*z^2)/a^14 + (7*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (6*z^4)/a^12 + (11*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 14972] -> 
  -8 + 2/a^6 - 9/a^4 + 14/a^2 + 2*a^2 - 22*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (31*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 24*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (29*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 14973] -> -1 + a^(-8) - 4/a^6 + 5/a^4 - 
   a^(-2) + a^2 - 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + (10*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 14974] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14975] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - z^2/a^6 + (8*z^2)/a^2 + 4*a^2*z^2 - 
   16*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 14976] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - 15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 14977] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 14978] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - z^6/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 14979] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 26*z^2 - 
   (7*z^2)/a^2 - 30*a^2*z^2 + 10*a^4*z^2 + 41*z^4 - (9*z^4)/a^2 - 
   51*a^2*z^4 + 16*a^4*z^4 + 33*z^6 - (5*z^6)/a^2 - 49*a^2*z^6 + 14*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 14980] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   9*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 13*a^2*z^4 + 
   6*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 14981] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 12*z^2 - 
   (5*z^2)/a^6 + (24*z^2)/a^4 - (32*z^2)/a^2 + 17*z^4 - (8*z^4)/a^6 + 
   (38*z^4)/a^4 - (54*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - 
   (50*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 14982] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^2)/a^4 - (10*z^2)/a^2 + 6*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (7*z^4)/a^4 - (15*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (11*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 14983] -> 4 - 2/a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 14984] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 + a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 14985] -> -2*a^4 + 6*a^6 - 4*a^10 + a^12 - a^2*z^2 - 
   4*a^4*z^2 + 17*a^6*z^2 + 6*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 21*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 14*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 14986] -> -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 19*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 14987] -> 
  9 - 4/a^2 - 4*a^2 + 22*z^2 + z^2/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 - 
   9*a^2*z^2 + 24*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 8*a^2*z^4 + 
   14*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 14988] -> -12 - 2/a^4 + 9/a^2 + 8*a^2 - 3*a^4 + a^6 - 
   29*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 28*z^4 - z^4/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 14989] -> 
  2 - a^(-6) + 4/a^4 - 4/a^2 - a^4 + a^6 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 14990] -> 
  -2*a^4 + 5*a^6 + 4*a^8 - 9*a^10 + 3*a^12 - 7*a^4*z^2 + 14*a^6*z^2 + 
   21*a^8*z^2 - 25*a^10*z^2 + 5*a^12*z^2 - 9*a^4*z^4 + 16*a^6*z^4 + 
   36*a^8*z^4 - 28*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 
   29*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 14991] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + 11*a^2*z^2 - 9*a^4*z^2 + 
   5*a^6*z^2 - 3*z^4 + 13*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 7*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 14992] -> 
  18 + 3/a^4 - 13/a^2 - 7*a^2 + 56*z^2 + (9*z^2)/a^4 - (41*z^2)/a^2 - 
   20*a^2*z^2 + 86*z^4 + (10*z^4)/a^4 - (57*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 14993] -> 1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 + 5*z^2 + 
   (3*z^2)/a^4 - (11*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 10*z^4 + 
   (3*z^4)/a^4 - (15*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 14994] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 17*z^2 + (3*z^2)/a^2 + 26*a^2*z^2 - 
   6*a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 + 5*a^4*z^4 - 
   6*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 14995] -> 8*a^8 - 10*a^10 + 3*a^12 - a^2*z^2 + 
   a^4*z^2 + 24*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 6*a^6*z^4 + 
   24*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 8*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 14996] -> 3/a^8 - 16/a^6 + 22/a^4 - 8/a^2 + 
   (7*z^2)/a^8 - (44*z^2)/a^6 + (71*z^2)/a^4 - (26*z^2)/a^2 + (9*z^4)/a^8 - 
   (58*z^4)/a^6 + (102*z^4)/a^4 - (33*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + 
   (80*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 14997] -> -3 + a^(-8) - 6/a^6 + 5/a^4 + 4/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + (16*z^2)/a^4 + (13*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + (18*z^4)/a^4 + (21*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14998] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 11*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (25*z^2)/a^2 - 11*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + z^4/a^4 + (29*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 14999] -> -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15000] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 15001] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 + 
   3*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 11*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15002] -> -1 + 2*a^2 + a^4 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 15003] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 5*z^2 + z^2/a^6 - z^2/a^4 + 7*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15004] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^10 - z^4/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15005] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 
   6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15006] -> 
  -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 15007] -> 4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + 
   (7*z^2)/a^16 - (40*z^2)/a^14 + (34*z^2)/a^12 + (13*z^2)/a^10 - z^4/a^16 - 
   (39*z^4)/a^14 + (68*z^4)/a^12 + (22*z^4)/a^10 - (4*z^6)/a^16 - 
   (9*z^6)/a^14 + (58*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + 
   (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 15008] -> 3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (18*z^2)/a^14 + (10*z^2)/a^12 + (15*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (11*z^4)/a^14 + (20*z^4)/a^12 + 
   (27*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 15009] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15010] -> 
  7 - a^(-4) - 2/a^2 - a^2 - 3*a^4 + a^6 + 11*z^2 - (2*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15011] -> 1 - 2/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - a^2 + 
   3*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (9*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15012] -> 
  -3 - a^(-8) + 3/a^6 - 2/a^4 + 2/a^2 + a^2 + a^4 - 4*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15013] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15014] -> 
  2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (7*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15015] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + (2*z^2)/a^16 - (15*z^2)/a^14 + (8*z^2)/a^12 + (10*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^16 - (12*z^4)/a^14 + (20*z^4)/a^12 + (19*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (16*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 15016] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 11*z^2 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15017] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (17*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15018] -> -2 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15019] -> 
  -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15020] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 3/a^4 - a^(-2) + a^2 - z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15021] -> 
  2/a^16 - 6/a^14 + 4/a^12 - a^(-10) + a^(-8) + a^(-6) - (9*z^2)/a^14 + 
   (9*z^2)/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (10*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 15022] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) - 
   2*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - 
   (18*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 15023] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15024] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15025] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (15*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15026] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15027] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - a^6*z^2 - 
   10*z^4 + z^4/a^4 + 12*a^2*z^4 - a^4*z^4 - a^6*z^4 - 3*z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 15028] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 16*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15029] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 9*z^2 - 
   (5*z^2)/a^6 + (20*z^2)/a^4 - (25*z^2)/a^2 + 16*z^4 - (8*z^4)/a^6 + 
   (37*z^4)/a^4 - (49*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - 
   (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 15030] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 4*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15031] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (4*z^2)/a^10 + (16*z^2)/a^8 - (20*z^2)/a^6 + (11*z^2)/a^4 - (7*z^4)/a^10 + 
   (32*z^4)/a^8 - (42*z^4)/a^6 + (15*z^4)/a^4 - (5*z^6)/a^10 + (30*z^6)/a^8 - 
   (45*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (26*z^8)/a^6 + 
   (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 15032] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (10*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (12*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15033] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 8*z^4 - z^4/a^4 + z^4/a^2 - 
   11*a^2*z^4 + 4*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 9*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 15034] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15035] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15036] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 17*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15037] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + 8*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 
   3*z^4 + 10*a^2*z^4 + a^4*z^4 - 14*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   2*a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15038] -> 
  -a^(-4) + 3/a^2 - 2*a^2 + a^6 - 4*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   5*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 12*z^4 - z^4/a^4 + (9*z^4)/a^2 - 
   10*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15039] -> -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 
   10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15040] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 50*z^2 + (7*z^2)/a^4 - (35*z^2)/a^2 - 
   19*a^2*z^2 + 84*z^4 + (9*z^4)/a^4 - (53*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 15041] -> -8 - 2/a^4 + 8/a^2 + 3*a^2 - a^4 + a^6 - 
   23*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 
   25*z^4 - z^4/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15042] -> 
  -3 - a^(-6) + 3/a^4 + 2*a^2 - a^4 + a^6 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 15043] -> 
  -2*a^4 + 6*a^6 - 4*a^10 + a^12 - 7*a^4*z^2 + 16*a^6*z^2 + 15*a^8*z^2 - 
   19*a^10*z^2 + 4*a^12*z^2 - 9*a^4*z^4 + 17*a^6*z^4 + 32*a^8*z^4 - 
   26*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 28*a^8*z^6 - 
   15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 15044] -> 
  -a^2 + 3*a^4 - 2*a^6 + 5*a^8 - 5*a^10 + a^12 - 3*a^2*z^2 + 7*a^4*z^2 + 
   13*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   4*a^6*z^4 + 13*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   5*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 15045] -> 5 + a^(-4) - 4/a^2 - a^4 + 11*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 14*z^4 + 
   (3*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 11*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 15046] -> 
  -5 + a^(-2) + 7*a^2 - 2*a^6 - 14*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 + 13*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15047] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 19*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (17*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15048] -> 
  -6 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + 3*a^2 - 16*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15049] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^8*z^2 - z^4/a^2 + 
   11*a^2*z^4 - 14*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15050] -> 2/a^8 - 12/a^6 + 17/a^4 - 6/a^2 + 
   (6*z^2)/a^8 - (37*z^2)/a^6 + (60*z^2)/a^4 - (22*z^2)/a^2 + (8*z^4)/a^8 - 
   (52*z^4)/a^6 + (91*z^4)/a^4 - (30*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 15051] -> -1 + a^(-8) - 7/a^6 + 9/a^4 - a^(-2) - 
   5*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (23*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (24*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (14*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15052] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 7/a^2 - 
   6*z^2 + z^2/a^10 - (4*z^2)/a^8 + (15*z^2)/a^6 - (27*z^2)/a^4 + 
   (22*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (31*z^4)/a^4 + 
   (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15053] -> 
  -4 + a^(-2) + 10*a^2 - 9*a^4 + 3*a^6 - 14*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   27*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 19*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   32*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15054] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   16*z^2 - z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 
   16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15055] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 15056] -> -a^2 + 5*a^4 - 3*a^6 - 
   4*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + z^4/a^2 - 2*a^2*z^4 + 
   17*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15057] -> -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 
   20*z^2 - z^2/a^8 + (5*z^2)/a^6 - (17*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 
   26*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (32*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 15058] -> -a^4 + 6*a^6 - 4*a^8 - a^2*z^2 - 
   2*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 17*a^6*z^4 + 2*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 15059] -> 3/a^8 - 5/a^6 + 3/a^2 + 
   (7*z^2)/a^8 - (11*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (8*z^4)/a^8 - (9*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15060] -> 1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15061] -> 2 + a^(-8) + a^(-6) - 4/a^4 + a^(-2) + 
   3*z^2 + (2*z^2)/a^8 - (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   z^4/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15062] -> 1 + a^(-8) - a^(-4) - a^(-2) + a^2 - z^2 + 
   z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 15063] -> 3/a^12 - 12/a^10 + 12/a^8 - 
   2/a^6 + (7*z^2)/a^12 - (34*z^2)/a^10 + (40*z^2)/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^4)/a^12 - (37*z^4)/a^10 + (54*z^4)/a^8 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + (38*z^6)/a^8 + (7*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 15064] -> 
  2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (10*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (11*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15065] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (2*z^4)/a^8 + (21*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15066] -> 
  a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) - z^2 + z^2/a^12 - 
   (5*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15067] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 4*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + 
   (29*z^2)/a^4 - (3*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (42*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (33*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 15068] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 15069] -> 10 + 3/a^4 - 9/a^2 - 3*a^2 + 26*z^2 + 
   (7*z^2)/a^4 - (25*z^2)/a^2 - 8*a^2*z^2 + 27*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (22*z^4)/a^2 - 7*a^2*z^4 + 14*z^6 + z^6/a^6 - (5*z^6)/a^4 - (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15070] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (7*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 15071] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 21*z^2 + 
   (4*z^2)/a^4 - (18*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 36*z^4 + 
   (4*z^4)/a^4 - (27*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 15072] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 16*z^4 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 15073] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 6*z^2 - 19*a^2*z^2 + 21*a^4*z^2 - 6*a^6*z^2 + 
   z^4 + (2*z^4)/a^2 - 20*a^2*z^4 + 23*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 15074] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 
   4*z^4 + z^4/a^4 - 2*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 15075] -> 5 + 2/a^4 - 5/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15076] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + 
   a^(-2) - (4*z^2)/a^10 + (19*z^2)/a^8 - (22*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (38*z^4)/a^6 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - (32*z^6)/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 15077] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15078] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 - z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - 
   (15*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (11*z^4)/a^4 - 
   (18*z^4)/a^2 + 4*z^6 - z^6/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   (11*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (3*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 15079] -> 1 + 2/a^4 - 3/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 15080] -> 3 - 2/a^6 + 8/a^4 - 9/a^2 + a^2 + 2*z^2 - 
   (5*z^2)/a^6 + (25*z^2)/a^4 - (30*z^2)/a^2 + 5*a^2*z^2 - 4*z^4 - 
   (4*z^4)/a^6 + (30*z^4)/a^4 - (43*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (33*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 15081] -> 2 - a^(-8) + 3/a^6 - 4/a^2 + a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 15082] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 19*z^2 - z^2/a^4 - (4*z^2)/a^2 - 23*a^2*z^2 + 
   7*a^4*z^2 + 19*z^4 - (2*z^4)/a^4 + z^4/a^2 - 25*a^2*z^4 + 7*a^4*z^4 + 
   5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 15083] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15084] -> 
  12 - 3/a^2 - 12*a^2 + 3*a^4 + a^6 + 35*z^2 - (7*z^2)/a^2 - 41*a^2*z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 + 40*z^4 - (5*z^4)/a^2 - 58*a^2*z^4 - 6*a^4*z^4 + 
   11*a^6*z^4 + 19*z^6 - z^6/a^2 - 42*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 + 
   3*z^8 - 15*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - 2*a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 15085] -> 4 - a^(-4) + 2/a^2 - 7*a^2 + 2*a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 20*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*z^4 - z^4/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 - 14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 15086] -> -4 - 2/a^4 + 7/a^2 - 2*a^2 + 
   a^4 + a^6 - 9*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 - 12*a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - 10*z^4 - z^4/a^4 + (11*z^4)/a^2 - 18*a^2*z^4 + 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 
   3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15087] -> 
  1 - a^(-6) + 3/a^4 - a^(-2) - 3*a^2 + a^4 + a^6 - z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 15088] -> 
  -2*a^2 + 10*a^4 - 10*a^6 + 3*a^8 - z^2 - 4*a^2*z^2 + 26*a^4*z^2 - 
   28*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 21*a^4*z^4 - 31*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 7*a^2*z^6 + 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15089] -> -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 3*z^2 + 
   8*a^2*z^2 + 2*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15090] -> 2 - 2*a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15091] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   9*z^2 - z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15092] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15093] -> 
  -6 - 2/a^4 + 7/a^2 + 2*a^2 - a^4 + a^6 - 22*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15094] -> 
  -2 - 2/a^8 + 5/a^6 - 5/a^4 + 4/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15095] -> 
  -3 + 2/a^8 - 10/a^6 + 10/a^4 + 2/a^2 - 9*z^2 + (5*z^2)/a^8 - (30*z^2)/a^6 + 
   (38*z^2)/a^4 + (4*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (33*z^4)/a^6 + 
   (52*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (36*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 15096] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (20*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15097] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15098] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 3*a^4*z^2 + a^8*z^2 - 
   3*z^4 + 12*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15099] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 15100] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (25*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15101] -> 
  1 - 5*a^2 + 10*a^4 - 5*a^6 + 5*z^2 - 26*a^2*z^2 + 42*a^4*z^2 - 16*a^6*z^2 + 
   8*z^4 - 46*a^2*z^4 + 74*a^4*z^4 - 25*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 
   68*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 15102] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 2*z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 22*a^4*z^2 - 9*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 15103] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 21*z^2 + (5*z^2)/a^4 - (18*z^2)/a^2 - 
   7*a^2*z^2 + 41*z^4 + (8*z^4)/a^4 - (34*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + 
   (5*z^6)/a^4 - (31*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 15104] -> 4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 + 
   z^2/a^6 - (8*z^2)/a^2 - 4*a^2*z^2 + 16*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15105] -> 22 + 3/a^4 - 15/a^2 - 9*a^2 + 82*z^2 + 
   (11*z^2)/a^4 - (56*z^2)/a^2 - 31*a^2*z^2 + 124*z^4 + (11*z^4)/a^4 - 
   (74*z^4)/a^2 - 41*a^2*z^4 + 98*z^6 + (5*z^6)/a^4 - (47*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 15106] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 15*a^2*z^4 + 
   7*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 15107] -> 4 - a^(-4) - 2*a^2 + 25*z^2 + (3*z^2)/a^4 - 
   (15*z^2)/a^2 - 10*a^2*z^2 + 52*z^4 + (6*z^4)/a^4 - (33*z^4)/a^2 - 
   18*a^2*z^4 + 52*z^6 + (4*z^6)/a^4 - (29*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 15108] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 
   10*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15109] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (13*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 15110] -> -10 - 2/a^4 + 7/a^2 + 10*a^2 - 
   5*a^4 + a^6 - 24*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 24*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 25*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15111] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15112] -> -a^(-4) + 2/a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15113] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15114] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^8*z^2 - z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 10*a^4*z^4 + a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 
   7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15115] -> -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 15116] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + z^2/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (18*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15117] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 42*z^2 + 
   (7*z^2)/a^4 - (31*z^2)/a^2 - 15*a^2*z^2 + 64*z^4 + (9*z^4)/a^4 - 
   (45*z^4)/a^2 - 20*a^2*z^4 + 55*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 15118] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + (6*z^2)/a^8 - (25*z^2)/a^6 + (32*z^2)/a^4 - 
   (10*z^2)/a^2 + (8*z^4)/a^8 - (39*z^4)/a^6 + (53*z^4)/a^4 - (17*z^4)/a^2 + 
   (5*z^6)/a^8 - (32*z^6)/a^6 + (50*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 15119] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 5*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 15120] -> -3 + 8*a^2 - 2*a^4 - 4*a^6 + 
   2*a^8 - 7*z^2 + 20*a^2*z^2 - 5*a^4*z^2 - 12*a^6*z^2 + 6*a^8*z^2 - 5*z^4 + 
   21*a^2*z^4 - 7*a^4*z^4 - 18*a^6*z^4 + 8*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   8*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15121] -> 
  1 - a^(-2) + 4*a^2 - 3*a^4 - a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   6*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   8*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 15122] -> 
  5 - 2/a^2 - 4*a^4 + 2*a^6 + 9*z^2 - (3*z^2)/a^2 - 10*a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 11*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 15123] -> 1 - a^(-4) + 2/a^2 - a^2 - a^4 + 
   a^6 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^8*z^2 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 15124] -> 
  -3 + a^(-6) - 4/a^4 + 5/a^2 + 4*a^2 - 2*a^4 - 11*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15125] -> 
  -2 + 4*a^2 + 3*a^4 - 6*a^6 + 2*a^8 - 5*z^2 + 10*a^2*z^2 + 10*a^4*z^2 - 
   19*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 6*a^4*z^4 - 24*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15126] -> 2 - a^(-2) + 2*a^4 - 3*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15127] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 18*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15128] -> -a^(-12) + 6/a^10 - 14/a^8 + 12/a^6 - 
   2/a^4 + (7*z^2)/a^10 - (27*z^2)/a^8 + (32*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^4)/a^12 - (2*z^4)/a^10 - (18*z^4)/a^8 + (33*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 - (2*z^6)/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15129] -> -3/a^6 + 5/a^4 - a^(-2) + z^2/a^12 - 
   (2*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 15130] -> 
  3 - a^(-2) + a^2 - 5*a^4 + 4*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[15, Alternating, 15131] -> 
  -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 8*a^4*z^2 + 20*a^6*z^2 + 
   9*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   25*a^6*z^4 + 15*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 15132] -> -a^2 + 2*a^4 + 2*a^6 - 3*a^10 + a^12 - 
   3*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 + a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - 
   z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 12*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 15133] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 - z^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 15134] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 15135] -> 
  -1 + a^(-10) - 4/a^8 + 7/a^6 - 8/a^4 + 6/a^2 - 5*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (18*z^2)/a^6 - (25*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (31*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15136] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (9*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 15137] -> -1 + 8*a^4 - 8*a^6 + 2*a^8 - 
   4*z^2 + 4*a^2*z^2 + 18*a^4*z^2 - 20*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 
   11*a^2*z^4 + 12*a^4*z^4 - 23*a^6*z^4 + 8*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15138] -> 
  -2 + 5*a^2 - 3*a^6 + a^8 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 7*a^6*z^2 + 
   3*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 15139] -> 
  -4 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15140] -> 
  1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 4*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + 
   (20*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (20*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 15141] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 14*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 + 11*a^4*z^4 - 
   6*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15142] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 23*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15143] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 8*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 9*z^4 + z^4/a^4 + 21*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 3*z^6 - (2*z^6)/a^2 + 10*a^2*z^6 - 6*a^4*z^6 + 
   z^8 + 3*a^2*z^8, Knot[15, Alternating, 15144] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (4*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + 
   (8*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (7*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15145] -> -3 - a^(-4) + 2/a^2 + 7*a^2 - 5*a^4 + a^6 - 
   12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15146] -> 
  -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 2*a^12 - 6*a^4*z^2 + 13*a^6*z^2 + 
   17*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   22*a^6*z^4 + 19*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 15147] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + z^2/a^12 - 
   (16*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (8*z^4)/a^10 - 
   (7*z^4)/a^8 + (30*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (3*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15148] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15149] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15150] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15151] -> -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 
   a^2*z^2 - 3*a^4*z^2 + 18*a^6*z^2 - a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 + 16*a^6*z^4 + 2*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 15152] -> 
  -1 + 5*a^2 - 7*a^4 + 8*a^6 - 5*a^8 + a^10 - 4*z^2 + 15*a^2*z^2 - 
   20*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   14*a^2*z^4 - 21*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 
   10*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 15153] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 20*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15154] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 
   10*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15155] -> 3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + 
   (10*z^2)/a^8 - (42*z^2)/a^6 + (55*z^2)/a^4 - (18*z^2)/a^2 + (12*z^4)/a^8 - 
   (60*z^4)/a^6 + (83*z^4)/a^4 - (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (70*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 15156] -> -1 + 2/a^8 - 8/a^6 + 8/a^4 - 4*z^2 + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (19*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (19*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15157] -> 3/a^12 - 12/a^10 + 12/a^8 - 2/a^6 + 
   (8*z^2)/a^12 - (38*z^2)/a^10 + (48*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^4)/a^12 - (54*z^4)/a^10 + (77*z^4)/a^8 - (18*z^4)/a^6 + 
   (6*z^6)/a^12 - (41*z^6)/a^10 + (66*z^6)/a^8 - (17*z^6)/a^6 + z^8/a^12 - 
   (15*z^8)/a^10 + (33*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + 
   (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 15158] -> 
  2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + (4*z^2)/a^12 - (17*z^2)/a^10 + 
   (14*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^12 - (18*z^4)/a^10 + 
   (17*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (11*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15159] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (9*z^2)/a^10 - (4*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + z^4/a^8 + (28*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (5*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15160] -> a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15161] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 18*z^2 + 
   z^2/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15162] -> -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 
   2*a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 + 11*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 16*a^6*z^4 + 18*a^8*z^4 - 14*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 15163] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 9*z^2 - z^2/a^4 + z^2/a^2 - 15*a^2*z^2 + 
   6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 
   2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 15164] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15165] -> 6*a^2 - 10*a^4 + 7*a^6 - 3*a^8 + 
   a^10 - 3*z^2 + 16*a^2*z^2 - 27*a^4*z^2 + 17*a^6*z^2 - 9*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 31*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 15166] -> 2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15167] -> 8*a^2 - 16*a^4 + 14*a^6 - 7*a^8 + 2*a^10 - 
   4*z^2 + 20*a^2*z^2 - 38*a^4*z^2 + 29*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 20*a^2*z^4 - 37*a^4*z^4 + 27*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 15168] -> 
  4 - 6*a^2 + 4*a^4 - a^6 - a^8 + a^10 + 7*z^2 - (2*z^2)/a^2 - 12*a^2*z^2 + 
   4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 6*z^4 - z^4/a^2 - 8*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15169] -> 
  -2 + 2/a^2 + a^2 - a^8 + a^10 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 + a^2*z^4 + 3*a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[15, Alternating, 15170] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + 
   2*a^12*z^2 - 4*a^4*z^4 + 15*a^6*z^4 - 10*a^8*z^4 - 6*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 15171] -> a^2 + a^4 - 2*a^6 + 3*a^8 - 3*a^10 + a^12 + 
   5*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 15172] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15173] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 15174] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 3*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 
   3*a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 10*a^6*z^4 - 12*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 15175] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15176] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   4*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 15177] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 13*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 11*z^4 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (17*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 15178] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15179] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 12*a^6*z^4 - 11*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 15180] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15181] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 15*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15182] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 15183] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 15184] -> 3*a^4 - 3*a^6 + 3*a^8 - 3*a^10 + 
   a^12 - a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + 
   a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 15185] -> 
  1 + 2/a^4 - 3/a^2 + 2*a^2 - 2*a^4 + a^6 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 15186] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) - z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15187] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 19*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 9*a^2*z^2 - a^6*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 15188] -> 
  5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 - 2*a^10*z^2 + 
   2*a^12*z^2 - 5*a^4*z^4 + 19*a^6*z^4 - 7*a^8*z^4 - 7*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 15189] -> 2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 - 
   a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 5*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 4*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 15190] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 
   5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^4*z^2 - 4*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15191] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - 
   (14*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 15192] -> -a^(-8) + 2/a^4 - z^2/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15193] -> 4*a^6 - 3*a^8 + 3*z^2 - 6*a^2*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + 7*z^4 - 14*a^2*z^4 - 3*a^4*z^4 + 20*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 15194] -> a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15195] -> 
  2*a^4 - a^8 - 3*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 15196] -> a^2 + a^6 - a^8 - z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 15197] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15198] -> 
  -1 + a^(-2) + a^2 + z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 15199] -> 
  a^(-2) - a^4 + a^6 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15200] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 15201] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 10*a^2*z^2 - 16*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 15202] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15203] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 + 8*a^2*z^2 - 4*a^4*z^2 - 8*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 2*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15204] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15205] -> 
  1 + a^2 - a^4 - a^8 + a^10 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   7*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 12*a^4*z^4 + 12*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 15206] -> -1 + a^(-2) + a^2 - 8*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15207] -> 
  1 + 2*a^4 - 4*a^6 + 2*a^8 + a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 2*a^10*z^2 - 
   2*z^4 + a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 15208] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 15209] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (16*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15210] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15211] -> -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - 4*z^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 14*a^2*z^4 - 
   15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15212] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 15213] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 6*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   5*a^4*z^4 + 13*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 15214] -> 1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   z^2 + 7*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 22*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15215] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15216] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + 
   a^10 - 2*z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15217] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 15218] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15219] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15220] -> 
  2*a^2 - a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 15221] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15222] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 15223] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + z^4/a^10 - (12*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 15224] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 2*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15225] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 - 
   (11*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15226] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15227] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15228] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 16*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   17*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (2*z^4)/a^4 + (5*z^4)/a^2 + 
   13*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 
   2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 15229] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 2*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - z^6/a^4 - 
   (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 15230] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 + 16*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15231] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 31*z^2 - 
   (7*z^2)/a^2 - 43*a^2*z^2 + 16*a^4*z^2 + 58*z^4 - (17*z^4)/a^2 - 
   67*a^2*z^4 + 17*a^4*z^4 + 58*z^6 - (17*z^6)/a^2 - 48*a^2*z^6 + 7*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 15232] -> 
  4 - 5*a^2 + a^4 + a^6 + 14*z^2 - (4*z^2)/a^2 - 14*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 + 20*z^4 - (8*z^4)/a^2 - 10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 15233] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 - 3*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   14*a^2*z^2 + 7*a^4*z^2 - z^4 - (7*z^4)/a^4 + (15*z^4)/a^2 - 19*a^2*z^4 + 
   5*a^4*z^4 + 6*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15234] -> -1 + 2/a^2 - a^2 + a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 15235] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 14*z^2 + 
   (3*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15236] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 2*z^2 - a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 
   8*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 15237] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 15238] -> 
  2 + a^(-2) - 4*a^2 + 2*a^4 - a^6 + a^8 + 4*z^2 - z^2/a^2 - 8*a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 15239] -> 
  -3 + 3/a^2 + a^4 - a^6 + a^8 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + z^4/a^2 - a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 15240] -> 1 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + 5*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15241] -> 2 - a^2 - a^4 + a^6 - 2*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15242] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15243] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (8*z^4)/a^6 - (2*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15244] -> -a^(-4) + 2/a^2 + z^2/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15245] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15246] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15247] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 23*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15248] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 - (2*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15249] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 - 
   z^2/a^6 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15250] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 15251] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 15252] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 
   (2*z^2)/a^4 - z^2/a^2 - a^6*z^2 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 15253] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15254] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15255] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 + 8*a^2*z^2 - 21*a^4*z^2 + 
   25*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 8*a^2*z^4 - 29*a^4*z^4 + 
   29*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 19*a^4*z^6 + 
   16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 15256] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 3*z^2 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 15257] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15258] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 15259] -> -a^(-8) + a^(-6) + a^(-2) + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15260] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15261] -> -a^(-8) + a^(-6) + a^(-2) + 3*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - a^4*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 15262] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 
   8*z^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 15263] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - z^4/a^4 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 15264] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 15265] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 8*z^4 - z^4/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 15266] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15267] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15268] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15269] -> -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15270] -> -2/a^6 + 3/a^4 - 4*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (11*z^4)/a^6 + (2*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15271] -> -1 + a^(-2) + a^2 - 5*z^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15272] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15273] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 15274] -> 8 - 5/a^2 + 2*a^2 - 5*a^4 + a^6 + 21*z^2 - 
   (12*z^2)/a^2 + 10*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 + 26*z^4 - 
   (11*z^4)/a^2 + 16*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 17*z^6 - 
   (5*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 15275] -> 
  a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - z^2/a^14 - (4*z^2)/a^12 + 
   (5*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (2*z^4)/a^12 + (8*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 + 
   z^6/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 15276] -> -2/a^10 + a^(-8) + 2/a^6 - 
   z^2/a^14 + (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 + z^4/a^6 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 15277] -> 
  -3/a^8 + 4/a^6 + z^2 - (2*z^2)/a^10 + (9*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   2*z^4 - z^4/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 15278] -> -2/a^18 + 11/a^16 - 17/a^14 + 
   4/a^12 + 5/a^10 - z^2/a^18 + (16*z^2)/a^16 - (44*z^2)/a^14 + 
   (19*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - 
   (36*z^4)/a^14 + (32*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - 
   (9*z^6)/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 15279] -> 
  10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 22*z^2 + (4*z^2)/a^4 - (18*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 17*z^4 + (6*z^4)/a^4 - (19*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 2*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15280] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 31*z^2 + 
   z^2/a^6 - (16*z^2)/a^2 - 12*a^2*z^2 + 34*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (11*z^4)/a^2 - 11*a^2*z^4 + 19*z^6 + z^6/a^6 - (6*z^6)/a^4 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15281] -> -2*a^6 + 14*a^8 - 16*a^10 + 5*a^12 - 
   2*a^4*z^2 - 4*a^6*z^2 + 44*a^8*z^2 - 39*a^10*z^2 + 8*a^12*z^2 - 
   5*a^4*z^4 - a^6*z^4 + 55*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   4*a^6*z^6 + 36*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 15282] -> 2/a^10 - 8/a^8 + 7/a^6 + a^(-4) - a^(-2) + 
   z^2/a^10 - (13*z^2)/a^8 + (19*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 + (20*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15283] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - 
   (2*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15284] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^14 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15285] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - (17*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (20*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15286] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   3*z^2 + (4*z^2)/a^8 - (18*z^2)/a^6 + (22*z^2)/a^4 - 3*z^4 + (4*z^4)/a^8 - 
   (16*z^4)/a^6 + (17*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (9*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15287] -> -2 + 2/a^8 - 9/a^6 + 9/a^4 + a^(-2) - 
   7*z^2 + (3*z^2)/a^8 - (20*z^2)/a^6 + (25*z^2)/a^4 + (5*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (24*z^4)/a^6 + (36*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15288] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (12*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 15289] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (16*z^4)/a^10 + (16*z^4)/a^8 + (14*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (19*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 15290] -> -a^(-10) + a^(-8) + a^(-2) - 
   (3*z^2)/a^10 + (9*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (15*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 15291] -> -2/a^14 + 8/a^12 - 12/a^10 + 
   5/a^8 + 2/a^6 - (4*z^2)/a^14 + (19*z^2)/a^12 - (29*z^2)/a^10 + 
   (13*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - 
   (36*z^4)/a^10 + (9*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (28*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 15292] -> -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15293] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + 
   a^(-6) + a^(-4) - (4*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 - 
   (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15294] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 - (4*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15295] -> -a^(-18) + 6/a^16 - 9/a^14 + a^(-12) + 
   2/a^10 + 2/a^8 + (7*z^2)/a^16 - (24*z^2)/a^14 + (9*z^2)/a^12 + 
   (11*z^2)/a^10 + (7*z^2)/a^8 - (18*z^4)/a^14 + (20*z^4)/a^12 + 
   (19*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (16*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 15296] -> a^(-16) - a^(-14) - 3/a^12 + 
   2/a^10 + a^(-8) + a^(-6) + z^2/a^16 - (6*z^2)/a^14 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (5*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 15297] -> -a^(-18) + 7/a^16 - 12/a^14 + 3/a^12 + 
   3/a^10 + a^(-8) + (8*z^2)/a^16 - (32*z^2)/a^14 + (18*z^2)/a^12 + 
   (13*z^2)/a^10 + (4*z^2)/a^8 - (25*z^4)/a^14 + (34*z^4)/a^12 + 
   (22*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (25*z^6)/a^12 + 
   (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 15298] -> 8 + a^(-4) - 6/a^2 - 2*a^4 + 
   17*z^2 + (4*z^2)/a^4 - (16*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 11*z^4 + 
   (4*z^4)/a^4 - (14*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15299] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15300] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 - z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15301] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15302] -> 6 - 2/a^2 - 4*a^2 + a^4 + 15*z^2 - 
   (3*z^2)/a^2 - 18*a^2*z^2 + 7*a^4*z^2 + 28*z^4 - (5*z^4)/a^2 - 42*a^2*z^4 + 
   15*a^4*z^4 + 27*z^6 - (4*z^6)/a^2 - 47*a^2*z^6 + 14*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 15303] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   5*z^2 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 15304] -> 
  -3 + 6*a^2 - 2*a^6 - 8*z^2 + 17*a^2*z^2 - 3*a^6*z^2 - 7*z^4 + z^4/a^4 - 
   z^4/a^2 + 19*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   10*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 15305] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + z^4/a^4 + 
   15*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 3*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 15306] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - z^2 - z^2/a^2 + 
   2*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 + 
   18*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15307] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15308] -> 
  -2 + 6*a^2 - 3*a^4 - 9*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15309] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 51*z^2 + 
   (4*z^2)/a^4 - (29*z^2)/a^2 - 20*a^2*z^2 + 82*z^4 + (6*z^4)/a^4 - 
   (44*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - (34*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 15310] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 + 2*z^2 - (3*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   10*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 15311] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15312] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15313] -> 
  1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15314] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15315] -> 2*a^4 - a^8 + z^2 - a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15316] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (17*z^2)/a^10 + (15*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (29*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (25*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 15317] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 
   3/a^2 - 7*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + (17*z^2)/a^4 + (8*z^2)/a^2 - 
   9*z^4 + (3*z^4)/a^8 - (23*z^4)/a^6 + (31*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15318] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 + (13*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 15319] -> 
  -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - (4*z^2)/a^14 + (15*z^2)/a^12 - 
   (21*z^2)/a^10 + (10*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + 
   (24*z^4)/a^12 - (31*z^4)/a^10 + (8*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + 
   (15*z^6)/a^12 - (27*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - 
   (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 15320] -> -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (22*z^4)/a^8 - (28*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (25*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 15321] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + 
   a^4 - 4*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15322] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (6*z^2)/a^10 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15323] -> 
  -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + a^4 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15324] -> 3/a^16 - 7/a^14 + a^(-12) + 3/a^10 + 
   a^(-8) + (3*z^2)/a^16 - (20*z^2)/a^14 + (10*z^2)/a^12 + (15*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + (25*z^4)/a^12 + (25*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (20*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 15325] -> -2 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + 
   2*a^2 - 9*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 15326] -> -1 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + a^4 - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15327] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   3*z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (16*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15328] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   (3*z^2)/a^16 - (16*z^2)/a^14 + (6*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^16 - (13*z^4)/a^14 + (19*z^4)/a^12 + (19*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (16*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 15329] -> 2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^8 + (18*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15330] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 2/a^2 + a^2 - z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15331] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (11*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15332] -> a^(-12) - 2/a^10 - 3/a^8 + 5/a^6 + a^(-4) - 
   a^(-2) + z^2/a^12 - (7*z^2)/a^10 + (14*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (16*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (10*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15333] -> -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + 
   (4*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (6*z^4)/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15334] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15335] -> 2/a^16 - 5/a^14 + 2/a^12 + a^(-8) + a^(-6) + 
   z^2/a^16 - (10*z^2)/a^14 + (6*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - (4*z^4)/a^14 + (10*z^4)/a^12 + (10*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 15336] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (20*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15337] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 15338] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (16*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (10*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 15339] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 8*z^2 - (5*z^2)/a^6 + (19*z^2)/a^4 - 
   (22*z^2)/a^2 + 15*z^4 - (9*z^4)/a^6 + (38*z^4)/a^4 - (47*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 15340] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - 
   z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (12*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15341] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (10*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15342] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 7*z^4 - (4*z^4)/a^6 + (16*z^4)/a^4 - 
   (20*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (21*z^6)/a^4 - (29*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 15343] -> 
  -4 - a^(-6) + 3/a^4 + 4*a^2 - 2*a^4 + a^6 - 10*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 15344] -> -4 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + 
   2*a^2 - 18*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (23*z^2)/a^2 + 
   5*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (30*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 15345] -> 
  -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 7*a^4*z^2 + 15*a^6*z^2 + 
   18*a^8*z^2 - 23*a^10*z^2 + 5*a^12*z^2 - 9*a^4*z^4 + 16*a^6*z^4 + 
   35*a^8*z^4 - 28*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 
   29*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 15346] -> 
  -6 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (29*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 15347] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 
   54*z^2 + (8*z^2)/a^4 - (38*z^2)/a^2 - 20*a^2*z^2 + 86*z^4 + (10*z^4)/a^4 - 
   (56*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 15348] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - (15*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 15349] -> 1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (19*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (27*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15350] -> 
  -6 + 2/a^2 + 11*a^2 - 9*a^4 + 3*a^6 - 20*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   29*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   33*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15351] -> 2 + a^(-4) - 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 + 
   3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15352] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   16*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 15353] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 15354] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 5*z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + 
   (15*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (14*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 15355] -> 
  -3 + 6*a^2 - 2*a^6 - 10*z^2 + z^2/a^2 + 15*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 15356] -> 
  3 + a^(-6) - 6/a^4 + 6/a^2 - 3*a^2 + 8*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (18*z^2)/a^2 - 7*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (21*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15357] -> -1 - a^(-8) + 5/a^6 - 7/a^4 + 4/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15358] -> 
  11 - 5/a^2 - 5*a^2 + 33*z^2 + (2*z^2)/a^4 - (17*z^2)/a^2 - 13*a^2*z^2 + 
   56*z^4 + (5*z^4)/a^4 - (31*z^4)/a^2 - 19*a^2*z^4 + 53*z^6 + (4*z^6)/a^4 - 
   (28*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 15359] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 2*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (11*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (14*z^4)/a^4 - 
   (12*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 15360] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + 2*z^2 + z^2/a^8 - (6*z^2)/a^4 + z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15361] -> 
  -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 - (3*z^2)/a^10 + (12*z^2)/a^8 - 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (13*z^4)/a^8 - 
   (5*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15362] -> 2 + a^(-8) - 2/a^4 + 3*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15363] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   z^4/a^10 + (6*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15364] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + (4*z^4)/a^4 - 
   (12*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 15365] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 
   3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15366] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - 
   z^2 - z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15367] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (16*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + 
   (27*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15368] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   z^2/a^12 - (5*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (3*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15369] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 10*z^2 + z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15370] -> 3 - 7*a^2 + 8*a^4 - 3*a^6 + 6*z^2 - 
   21*a^2*z^2 + 23*a^4*z^2 - 7*a^6*z^2 + (2*z^4)/a^2 - 19*a^2*z^4 + 
   25*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15371] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 2*z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 
   6*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 15372] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (13*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (18*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 15373] -> 
  1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15374] -> 
  4 - 6*a^2 + 3*a^4 + 11*z^2 - (2*z^2)/a^4 + z^2/a^2 - 20*a^2*z^2 + 
   7*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 22*a^2*z^4 + 7*a^4*z^4 - 
   z^6/a^4 + (7*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 15375] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 4*z^2 - z^2/a^6 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 15376] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (13*z^4)/a^8 - (15*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 15377] -> 3 - a^(-4) + 2/a^2 - 5*a^2 + 
   a^4 + a^6 - 2*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 8*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 12*z^4 - z^4/a^4 + (9*z^4)/a^2 - a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15378] -> 
  -5 - 2/a^4 + 7/a^2 + a^6 - 18*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 23*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15379] -> -a^(-6) + 3/a^4 - a^(-2) - a^2 + a^6 - 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15380] -> -a^2 + 8*a^4 - 9*a^6 + 3*a^8 - 2*z^2 + 
   21*a^4*z^2 - 28*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 16*a^4*z^4 - 
   32*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 18*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 15381] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 
   z^2 - z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15382] -> 2 - a^(-2) + a^2 - a^4 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15383] -> -1 + 6*a^2 - 5*a^4 + a^8 - z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 16*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15384] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (14*z^2)/a^4 - (18*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (21*z^4)/a^4 - (30*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (14*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 15385] -> 1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + a^2 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 15386] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15387] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15388] -> -2/a^14 + 8/a^12 - 10/a^10 + a^(-8) + 
   4/a^6 - (3*z^2)/a^14 + (18*z^2)/a^12 - (23*z^2)/a^10 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (23*z^4)/a^10 - (8*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15389] -> -a^(-10) + a^(-8) + a^(-2) + z^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (11*z^4)/a^8 - (13*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15390] -> 
  -3 + 2/a^8 - 10/a^6 + 10/a^4 + 2/a^2 - 6*z^2 + (3*z^2)/a^8 - (21*z^2)/a^6 + 
   (25*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (26*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 15391] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (8*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (14*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15392] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (6*z^2)/a^6 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - 
   (13*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15393] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (8*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (14*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15394] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (12*z^4)/a^8 - 
   z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15395] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15396] -> 5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15397] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 15398] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 15399] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 15400] -> 
  -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 2*a^4*z^2 - a^6*z^2 + 34*a^8*z^2 - 
   28*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 2*a^6*z^4 + 45*a^8*z^4 - 
   29*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 31*a^8*z^6 - 
   15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 15401] -> 
  -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   25*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15402] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 
   17*z^2 - z^2/a^8 + (7*z^2)/a^6 - (19*z^2)/a^4 + (27*z^2)/a^2 + 4*a^2*z^2 - 
   25*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 15403] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 + 
   a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15404] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15405] -> 3 - a^(-2) - a^2 + 5*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 18*z^4 + (5*z^4)/a^4 - (18*z^4)/a^2 - 6*a^2*z^4 + 
   28*z^6 + (4*z^6)/a^4 - (22*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + z^8/a^4 - 
   (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 15406] -> 3 + 2/a^6 - 8/a^4 + 7/a^2 - 3*a^2 + 14*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 15407] -> 
  -6 - a^(-6) + 2/a^4 + 2/a^2 + 6*a^2 - 3*a^4 + a^6 - 14*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 15408] -> -a^2 + 2*a^4 + a^6 + 3*a^8 - 6*a^10 + 
   2*a^12 - 3*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 + 14*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 11*a^6*z^4 + 19*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 15409] -> -4 - 2/a^4 + 6/a^2 + a^4 - 9*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 15410] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 9*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^6 + (4*z^4)/a^4 - a^2*z^4 + 
   2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 15411] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15412] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - 
   z^2/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 
   11*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15413] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 
   12*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (23*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15414] -> -5 - a^(-4) + 3/a^2 + 9*a^2 - 7*a^4 + 
   2*a^6 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 25*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15415] -> 
  2/a^10 - 6/a^8 + 3/a^6 + 3/a^4 - a^(-2) + (3*z^2)/a^10 - (12*z^2)/a^8 + 
   (9*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 15416] -> -1 - 2/a^8 + 7/a^6 - 10/a^4 + 
   7/a^2 - 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - (25*z^2)/a^4 + 
   (16*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - 
   (27*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (15*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 15417] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 23*z^2 + z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15418] -> -1 + a^(-10) - 4/a^8 + 7/a^6 - 8/a^4 + 
   6/a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (23*z^2)/a^4 + 
   (15*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - 
   (26*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (15*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 15419] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 15420] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 15421] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   3*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 15422] -> 
  -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 7*a^4*z^2 + 17*a^6*z^2 + 
   11*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   24*a^6*z^4 + 15*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 15423] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   2*a^2*z^2 + a^4*z^2 + 12*a^6*z^2 + a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 4*a^4*z^4 + 12*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 15424] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + 
   (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15425] -> -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 
   3*z^2 + 10*a^2*z^2 - 12*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 8*a^2*z^4 - 11*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 15426] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 16*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 15427] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (12*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15428] -> 3/a^8 - 14/a^6 + 18/a^4 - 6/a^2 + 
   (11*z^2)/a^8 - (47*z^2)/a^6 + (63*z^2)/a^4 - (21*z^2)/a^2 + (13*z^4)/a^8 - 
   (66*z^4)/a^6 + (93*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 15429] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (18*z^2)/a^6 + (14*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (13*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15430] -> -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 16*a^6*z^2 + 9*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 20*a^6*z^4 + 14*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 14*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 15431] -> 2/a^12 - 6/a^10 + 2/a^8 + 
   4/a^6 - a^(-4) + (3*z^2)/a^12 - (13*z^2)/a^10 + (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + (9*z^4)/a^8 + 
   (18*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (7*z^6)/a^8 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 15432] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^12 - (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (26*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 - 
   (3*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15433] -> a^(-12) - 2/a^10 - a^(-8) + a^(-6) + 3/a^4 - 
   a^(-2) + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15434] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (20*z^2)/a^4 - (6*z^2)/a^2 + (7*z^4)/a^8 - 
   (30*z^4)/a^6 + (40*z^4)/a^4 - (13*z^4)/a^2 + (5*z^6)/a^8 - (30*z^6)/a^6 + 
   (44*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 15435] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (9*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + 
   (4*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 15436] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - 
   a^4 - 22*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15437] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   11*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 15438] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 15439] -> a^4 + 5*a^6 - 9*a^8 + 5*a^10 - a^12 - 
   a^2*z^2 + 2*a^4*z^2 + 14*a^6*z^2 - 19*a^8*z^2 + 7*a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 15*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 15440] -> 2*a^4 - 2*a^10 + a^12 - a^2*z^2 + 
   5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 15441] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15442] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15443] -> 1 - 4/a^8 + 10/a^6 - 8/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (22*z^2)/a^6 - (17*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (7*z^4)/a^8 + (17*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15444] -> 
  6*a^2 - 10*a^4 + 7*a^6 - 3*a^8 + a^10 - 3*z^2 + 16*a^2*z^2 - 29*a^4*z^2 + 
   19*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 6*z^4 + 23*a^2*z^4 - 34*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15445] -> 
  2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 8*a^4*z^4 + 
   6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15446] -> a^2 - a^4 + 5*a^6 - 6*a^8 + 2*a^10 + 
   2*a^2*z^2 - 5*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 11*a^6*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15447] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 15448] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 10*a^2*z^2 - 
   11*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 11*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15449] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 7*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   6*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 15450] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15451] -> 1 + a^4 - 2*a^6 + a^8 + 
   2*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 6*a^2*z^4 - 
   2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 15452] -> 1 + 3*a^2 - 7*a^4 + 6*a^6 - 
   3*a^8 + a^10 - z^2 + 8*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15453] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 15454] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   5*a^10*z^2 + 2*a^12*z^2 - 2*a^4*z^4 + 9*a^6*z^4 - 8*a^10*z^4 + 
   3*a^12*z^4 - 3*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 15455] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 - z^2/a^4 + (4*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15456] -> 
  2*a^2 - 2*a^6 + a^8 - z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 
   3*z^4 + 6*a^2*z^4 + 2*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 + 3*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15457] -> -1 + 6*a^2 - 5*a^4 + a^8 - 6*z^2 + 
   20*a^2*z^2 - 15*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 - 9*z^4 + 24*a^2*z^4 - 
   11*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 2*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 15458] -> 5*a^2 - 7*a^4 + 3*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 10*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 15459] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - 2*z^2 + 
   6*a^2*z^2 - 9*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 4*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   6*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 15460] -> 1 + 2*a^2 - 3*a^4 + a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   3*a^2*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 15461] -> a^(-6) - a^(-4) + a^2 - 6*z^2 + 3*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15462] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - z^2 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15463] -> 5 + 2/a^4 - 5/a^2 - a^2 + 11*z^2 + 
   (4*z^2)/a^4 - (14*z^2)/a^2 - 2*a^4*z^2 + 9*z^4 + (6*z^4)/a^4 - 
   (17*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 15464] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 + z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 15465] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (14*z^4)/a^4 - z^6/a^10 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15466] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15467] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (7*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 15468] -> -a^(-10) + a^(-6) + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 15469] -> 2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15470] -> 1 + 2*z^2 + z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15471] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15472] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   6*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15473] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 15474] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 12*a^2*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 10*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 15475] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15476] -> 2 + a^(-4) - 2/a^2 + 8*z^2 + (4*z^2)/a^4 - 
   (12*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 8*z^4 + (6*z^4)/a^4 - (17*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15477] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 + 
   z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 8*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 15478] -> 
  -a^(-4) + 2/a^2 + z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15479] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - z^4/a^10 - (20*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15480] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15481] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   8*z^2 + z^2/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 15482] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 22*z^2 - (5*z^2)/a^2 - 30*a^2*z^2 + 
   11*a^4*z^2 + 42*z^4 - (12*z^4)/a^2 - 49*a^2*z^4 + 13*a^4*z^4 + 44*z^6 - 
   (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 15483] -> 3 - 3*a^2 + a^6 + 7*z^2 - (2*z^2)/a^2 - 
   6*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 15484] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15485] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15486] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 
   19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   22*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15487] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 - 11*a^4*z^2 + 
   5*a^6*z^2 + z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 
   5*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 15488] -> 
  -4 + 3/a^2 + 2*a^2 - a^6 + a^8 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 15489] -> 3 + 2/a^4 - 4/a^2 + 9*z^2 + (4*z^2)/a^4 - 
   (14*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + (6*z^4)/a^4 - 
   (17*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 15490] -> a^(-6) - a^(-4) + a^2 + 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 15491] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 16*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 17*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15492] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - (15*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15493] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15494] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - z^4/a^10 - (3*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15495] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 15496] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15497] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15498] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 22*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15499] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   4*z^2 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^2 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15500] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 14*z^2 + 
   (4*z^2)/a^4 - (16*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 13*z^4 + 
   (6*z^4)/a^4 - (18*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15501] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + 4*z^2 + z^2/a^6 - (5*z^2)/a^4 - 
   3*a^2*z^2 - a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 15502] -> 
  -5 + 2/a^6 - 5/a^4 + 6/a^2 + 4*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15503] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 10*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 15504] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 + 
   z^2/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (6*z^4)/a^10 - (19*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15505] -> 
  -2 + a^(-6) - 2/a^4 + 2/a^2 + 3*a^2 - a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15506] -> 
  -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15507] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 16*z^4 + z^4/a^4 + (7*z^4)/a^2 + 
   11*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 11*z^6 + z^6/a^4 + a^2*z^6 + 
   2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 15508] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15509] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + a^4*z^2 - 7*z^4 - (6*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 15510] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15511] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 15512] -> 1 + 18*z^2 + (2*z^2)/a^4 - 
   (12*z^2)/a^2 - 8*a^2*z^2 + 41*z^4 + (9*z^4)/a^4 - (32*z^4)/a^2 - 
   12*a^2*z^4 + 36*z^6 + (12*z^6)/a^4 - (39*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 15513] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + 
   a^4 + 13*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   12*z^4 + (5*z^4)/a^4 - (14*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15514] -> 
  1 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15515] -> 
  1 - (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 15516] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + 
   a^4 + 10*z^2 + z^2/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15517] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 9*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 7*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 15518] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 15519] -> 
  -a^(-4) + 2/a^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15520] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15521] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 15522] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15523] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 
   2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15524] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15525] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15526] -> 
  -1 - 2/a^4 + 4/a^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15527] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15528] -> 
  1 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15529] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 + 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 15530] -> a^(-2) - a^2 + a^4 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15531] -> 
  -a^(-14) + a^(-12) + 4/a^10 - 9/a^8 + 5/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (6*z^2)/a^12 + (6*z^2)/a^10 - (21*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (3*z^4)/a^10 - (23*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15532] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + (6*z^4)/a^4 - (13*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15533] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 15534] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 15535] -> 
  11 - 5/a^2 - 5*a^2 + 28*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (8*z^2)/a^2 - 
   12*a^2*z^2 + 31*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 11*a^2*z^4 + 
   18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15536] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 15537] -> -5 + 12*a^2 - 6*a^4 - 14*z^2 + z^2/a^2 + 
   29*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 - 15*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 15*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15538] -> -3 + a^(-8) - 5/a^6 + 3/a^4 + 5/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (17*z^2)/a^4 + (12*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + (33*z^4)/a^4 + (14*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15539] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   (5*z^2)/a^10 + (19*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (33*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 15540] -> 3/a^12 - 8/a^10 + 2/a^8 + 
   6/a^6 - 2/a^4 + (4*z^2)/a^12 - (20*z^2)/a^10 + (13*z^2)/a^8 + 
   (17*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (22*z^4)/a^10 + (26*z^4)/a^8 + 
   (19*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 15541] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 3/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - 
   (6*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (7*z^4)/a^8 + (9*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15542] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (12*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (16*z^4)/a^4 + z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 15543] -> 
  -a^(-12) + 5/a^8 - 7/a^6 + 3/a^4 + a^(-2) - (2*z^2)/a^12 + (6*z^2)/a^10 + 
   (7*z^2)/a^8 - (17*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + 
   (9*z^4)/a^10 - (2*z^4)/a^8 - (21*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (13*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 15544] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (7*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (6*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15545] -> 
  2/a^16 - 3/a^14 - 3/a^12 + 3/a^10 + 2/a^8 + (4*z^2)/a^16 - (16*z^2)/a^14 + 
   (2*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - (15*z^4)/a^14 + 
   (16*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (15*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 15546] -> 
  2/a^16 - 5/a^14 + 3/a^12 - 2/a^10 + 2/a^8 + a^(-6) + z^2/a^16 - 
   (9*z^2)/a^14 + (6*z^2)/a^12 + z^2/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (8*z^4)/a^12 + (7*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 15547] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + z^4 + 
   (5*z^4)/a^4 - (12*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15548] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 15549] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15550] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 7*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 22*z^4 - (4*z^4)/a^2 - 30*a^2*z^4 + 
   12*a^4*z^4 + 25*z^6 - (4*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 15551] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 15552] -> -4 + 8*a^2 - a^4 - 2*a^6 - 15*z^2 + 
   (2*z^2)/a^2 + 23*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   25*a^2*z^4 + 11*a^4*z^4 - 7*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 15553] -> 
  4 - 2/a^2 - 3*a^2 + 5*a^4 - 3*a^6 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 15554] -> 9 - 4/a^2 - 4*a^2 + 25*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (7*z^2)/a^2 - 11*a^2*z^2 + 29*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 15555] -> 
  4 - 2/a^2 - a^4 + 9*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 15556] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 
   4/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 - 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15557] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 2*z^2 - 8*a^2*z^2 + 32*a^4*z^2 - 15*a^6*z^2 + 
   3*z^4 - 29*a^2*z^4 + 68*a^4*z^4 - 25*a^6*z^4 + 4*z^6 - 30*a^2*z^6 + 
   67*a^4*z^6 - 19*a^6*z^6 + z^8 - 13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 15558] -> 2 - a^(-2) - 3*a^2 + 7*a^4 - 4*a^6 + z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 20*a^4*z^2 - 9*a^6*z^2 - 5*z^4 + z^4/a^2 + a^2*z^4 + 
   25*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15559] -> 2 - a^(-2) + a^6 - a^8 - z^2/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   14*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15560] -> 1 - a^(-2) + 4*a^4 - 3*a^6 - 
   4*z^2 + 6*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 15561] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (11*z^4)/a^8 - 
   (5*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15562] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15563] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15564] -> 
  a^(-8) - a^(-6) + a^2 - 2*z^2 - z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15565] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (5*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + 
   (20*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (22*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15566] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   z^2/a^12 - (6*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15567] -> 
  6*a^4 - 8*a^6 + 3*a^8 - 3*z^2 + 5*a^2*z^2 + 12*a^4*z^2 - 23*a^6*z^2 + 
   9*a^8*z^2 - 4*z^4 + 11*a^2*z^4 + 7*a^4*z^4 - 27*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 2*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15568] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15569] -> 4*a^2 - 4*a^4 + a^8 + 3*z^2 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15570] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - 
   a^6*z^6, Knot[15, Alternating, 15571] -> a^(-10) - 2/a^8 + a^(-4) + 
   a^(-2) - z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - (24*z^4)/a^6 - (8*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (26*z^6)/a^6 - (9*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 15572] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (8*z^2)/a^6 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (7*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15573] -> a^(-4) - a^(-2) + a^2 - 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15574] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + (6*z^4)/a^4 - (13*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15575] -> 11 - 5/a^2 - 5*a^2 + 28*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (8*z^2)/a^2 - 12*a^2*z^2 + 31*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 - z^4/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 15576] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   3*z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 15577] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (16*z^2)/a^2 + (3*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 
   5*z^6 + z^6/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15578] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 4*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 15579] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 15580] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (4*z^4)/a^6 - (12*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15581] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   10*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15582] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15583] -> a^(-12) - 8/a^8 + 10/a^6 - 2/a^4 + 
   z^2/a^12 - (18*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + (2*z^4)/a^12 - 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 - z^6/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15584] -> a^(-12) - 2/a^10 - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15585] -> -a^(-4) + 2/a^2 + 6*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 27*z^4 + (7*z^4)/a^4 - (25*z^4)/a^2 - 
   9*a^2*z^4 + 38*z^6 + (5*z^6)/a^4 - (29*z^6)/a^2 - 12*a^2*z^6 + 25*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 15586] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 7*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 13*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (8*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15587] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   4*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 15588] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (13*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15589] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 - z^2 + 4*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15590] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15591] -> 7*a^6 - 9*a^8 + 3*a^10 - 4*a^4*z^2 + 
   25*a^6*z^2 - 23*a^8*z^2 + 3*a^10*z^2 + 2*a^12*z^2 - 8*a^4*z^4 + 
   29*a^6*z^4 - 19*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 
   17*a^6*z^6 - 3*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 15592] -> 2*a^4 + 3*a^6 - 8*a^8 + 5*a^10 - a^12 - 
   2*a^2*z^2 + 6*a^4*z^2 + 8*a^6*z^2 - 16*a^8*z^2 + 5*a^10*z^2 + a^12*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 15593] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15594] -> 
  3*a^4 - 2*a^6 + a^8 - 2*a^10 + a^12 - 2*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 
   a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 15595] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + 2*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 15596] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15597] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 15598] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15599] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15600] -> 1 - a^2 + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + 4*a^2*z^2 + a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15601] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15602] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15603] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15604] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 2*z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 15605] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15606] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15607] -> 
  -5 + a^(-4) + a^(-2) + 7*a^2 - 5*a^4 + 2*a^6 - 13*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15608] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15609] -> 
  3 - 2*a^2 - 3*a^4 + 5*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 
   9*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 15610] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15611] -> -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - 4*z^2 + 
   14*a^2*z^2 - 10*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 17*a^2*z^4 - 
   9*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 15612] -> 1 + a^2 - a^4 - a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15613] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (25*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15614] -> -a^(-4) + 2/a^2 + z^2 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (8*z^4)/a^6 - 
   (13*z^4)/a^4 - z^6/a^10 + (7*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15615] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 9*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15616] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 - z^2/a^12 + (5*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (8*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15617] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 9*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 23*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15618] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 21*z^2 + (5*z^2)/a^2 + 28*a^2*z^2 - 
   15*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 26*z^4 + (7*z^4)/a^2 + 33*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 15619] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (15*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - 
   (15*z^4)/a^4 - z^6/a^10 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15620] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15621] -> 1 + 2*z^2 + z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15622] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 2*z^2 + (6*z^2)/a^8 - 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15623] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (9*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15624] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 15625] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15626] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 16*z^2 - (3*z^2)/a^2 - 23*a^2*z^2 + 
   9*a^4*z^2 + 33*z^4 - (9*z^4)/a^2 - 42*a^2*z^4 + 12*a^4*z^4 + 39*z^6 - 
   (12*z^6)/a^2 - 36*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 15627] -> 3 - 4*a^2 + 2*a^4 + 9*z^2 - (2*z^2)/a^2 - 
   12*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 14*z^4 - (5*z^4)/a^2 - 11*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 15628] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   21*z^2 - z^2/a^4 + (8*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   24*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15629] -> 
  -4 + 3/a^2 + a^2 + 2*a^4 - 2*a^6 + a^8 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 15630] -> 
  1 - a^2 + 2*a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 6*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 15631] -> 
  1 + z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - z^6/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15632] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15633] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + z^4 - (3*z^4)/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 15634] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^14 + z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (9*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 15635] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^12 + 
   (2*z^4)/a^10 - (17*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15636] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 15637] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15638] -> 2 + a^(-4) - 2/a^2 + 7*z^2 + z^2/a^6 - 
   (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 15639] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15640] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (2*z^4)/a^10 - (16*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15641] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   z^2/a^14 + (3*z^2)/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 15642] -> 
  -7 + 3/a^2 + 8*a^2 - 5*a^4 + 3*a^6 - a^8 - 21*z^2 + (6*z^2)/a^2 + 
   24*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 27*z^4 + (7*z^4)/a^2 + 
   30*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 17*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15643] -> -6 + 3/a^2 + 5*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   16*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15644] -> 
  2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - z^6/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15645] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 7*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - 10*a^2*z^4 + 2*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 15646] -> a^(-2) - a^2 + 2*a^6 - a^8 - z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15647] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 15*z^2 + (4*z^2)/a^4 - (16*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 13*z^4 + (6*z^4)/a^4 - (18*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15648] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15649] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15650] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 15651] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - z^4/a^10 - (3*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15652] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 + z^4/a^10 - (13*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15653] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^4)/a^12 + (2*z^4)/a^10 - (18*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (10*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 15654] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 
   4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - 
   (9*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + (6*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15655] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - (12*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (6*z^4)/a^10 - 
   (19*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15656] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 15657] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - 
   a^4 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 15658] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 5*z^2 - 22*a^2*z^2 + 30*a^4*z^2 - 11*a^6*z^2 + 
   12*z^4 - 42*a^2*z^4 + 49*a^4*z^4 - 13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 
   38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 15659] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 15660] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15661] -> 1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - 
   10*a^2*z^2 + 9*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 13*a^2*z^4 + 
   5*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 15662] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   2*z^2 + z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15663] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15664] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   15*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 17*z^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 + 
   7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 15665] -> -2 + a^(-2) + 2*a^2 + a^4 - 
   a^6 - 6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15666] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15667] -> 
  2*a^2 - a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 15668] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 9*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15669] -> 
  -7 + 3/a^2 + 8*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 20*z^2 + (6*z^2)/a^2 + 
   24*a^2*z^2 - 21*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   29*a^2*z^4 - 26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15670] -> a^(-4) - a^(-2) + a^2 - a^4 + 
   2*a^6 - a^8 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 15671] -> -4 + 2/a^2 + 5*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15672] -> 
  -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 7*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 12*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15673] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 15674] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (9*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 15675] -> 3 + a^(-6) - a^(-4) - a^(-2) - 
   2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + z^4/a^6 + z^4/a^2 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15676] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15677] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15678] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15679] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15680] -> 1 + 7*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 9*z^4 + (4*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15681] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + 
   a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15682] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - z^4 + z^4/a^8 - z^4/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15683] -> 2 + a^(-4) - 2/a^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15684] -> -1 + a^(-2) + a^2 - 8*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15685] -> 2*a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 15686] -> 
  -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   12*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 15687] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + z^2/a^6 - (6*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 15688] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15689] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15690] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 15691] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 7*a^2*z^2 - 
   18*a^4*z^2 + 19*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 
   26*a^4*z^4 + 16*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15692] -> 1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   3*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15693] -> -6 + 2/a^6 - 6/a^4 + 8/a^2 + 4*a^2 - a^4 - 
   21*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + z^4/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15694] -> 
  -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 - 2*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 15695] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (12*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15696] -> 
  -2/a^14 + 6/a^12 - 7/a^10 + a^(-8) + 3/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (12*z^2)/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (12*z^4)/a^10 - (13*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15697] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (5*z^2)/a^12 - z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 15698] -> -a^(-12) + 4/a^10 - 7/a^8 + 
   5/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + 
   (14*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15699] -> -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (13*z^4)/a^10 - (8*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15700] -> -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 + 
   a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15701] -> 2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 
   5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 
   14*a^4*z^4 - a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 
   5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15702] -> 
  -3 + a^(-2) + 6*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15703] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 
   7/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (19*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + 
   (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15704] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (20*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15705] -> 
  a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 5*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 
   16*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 14*a^4*z^4 - 6*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 15706] -> -2/a^14 + 6/a^12 - 8/a^10 + 
   3/a^8 + 2/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - (16*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - 
   (12*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15707] -> 2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 
   7*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 + 7*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 
   23*a^4*z^4 + 7*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15708] -> 1 - 2*a^2 + 3*a^4 - a^6 + a^8 - a^10 + 
   3*z^2 - 5*a^2*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   5*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15709] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15710] -> 
  -3 + a^(-8) - 2/a^6 + a^(-4) + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 15711] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - z^2/a^14 + (5*z^2)/a^12 + 
   z^2/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15712] -> -a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 3/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (19*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (19*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15713] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 3*z^4 - 
   5*a^2*z^4 - 8*a^4*z^4 + 9*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 15714] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 
   4*a^6 - a^8 - 13*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 18*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15715] -> 
  -9 + 2/a^6 - 7/a^4 + 11/a^2 + 5*a^2 - a^4 - 24*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (24*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15716] -> 
  -5 + 2/a^2 + 7*a^2 - 5*a^4 + 3*a^6 - a^8 - 15*z^2 + (4*z^2)/a^2 + 
   20*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15717] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + 
   a^2 - z^2 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 15718] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15719] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - 
   (9*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (11*z^4)/a^10 - (13*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15720] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + 
   (5*z^2)/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 15721] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15722] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 15723] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   2*a^4 - a^6 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 15724] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (11*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (13*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15725] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15726] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 2*a^2 + 
   2*a^4 - a^6 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 15727] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 15728] -> -2/a^14 + 6/a^12 - 8/a^10 + 
   4/a^8 + a^(-4) - (3*z^2)/a^14 + (16*z^2)/a^12 - (18*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - 
   (20*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (13*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15729] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - z^2/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 15730] -> 4*a^4 - 10*a^6 + 13*a^8 - 
   6*a^10 + 16*a^4*z^2 - 43*a^6*z^2 + 52*a^8*z^2 - 17*a^10*z^2 + 23*a^4*z^4 - 
   73*a^6*z^4 + 73*a^8*z^4 - 17*a^10*z^4 + 18*a^4*z^6 - 65*a^6*z^6 + 
   49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 15731] -> a^2 - 3*a^6 + 7*a^8 - 4*a^10 + 5*a^2*z^2 - 
   5*a^4*z^2 - 7*a^6*z^2 + 22*a^8*z^2 - 8*a^10*z^2 + 6*a^2*z^4 - 11*a^4*z^4 - 
   11*a^6*z^4 + 23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 
   10*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15732] -> 
  2*a^2 - 4*a^4 + 4*a^6 + a^8 - 2*a^10 + 7*a^2*z^2 - 16*a^4*z^2 + 
   12*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 23*a^4*z^4 + 7*a^6*z^4 + 
   14*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 15733] -> 1 - 2*a^2 + 3*a^4 - 2*a^6 + 
   3*a^8 - 2*a^10 + 3*z^2 - 6*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 
   3*a^10*z^2 + 3*z^4 - 7*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + 7*a^8*z^4 - 
   a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 15734] -> 
  2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + 6*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 + 
   16*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 15*a^4*z^4 - 6*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 15735] -> 3*a^2 - 7*a^4 + 8*a^6 - 2*a^8 - 
   a^10 + 9*a^2*z^2 - 22*a^4*z^2 + 17*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 + 
   10*a^2*z^4 - 27*a^4*z^4 + 9*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 
   5*a^2*z^6 - 17*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15736] -> 1 - a^2 + 2*a^6 - a^10 + 3*z^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15737] -> 4*a^2 - 10*a^4 + 12*a^6 - 5*a^8 + 
   10*a^2*z^2 - 27*a^4*z^2 + 26*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 + 
   10*a^2*z^4 - 31*a^4*z^4 + 18*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 
   5*a^2*z^6 - 18*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15738] -> 2 - 4*a^2 + 4*a^4 - a^6 + a^8 - a^10 + 
   4*z^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   9*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 15739] -> -3 + a^(-2) + 4*a^2 - 2*a^4 + 3*a^6 - 
   2*a^8 - 8*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15740] -> 
  -7 + 2/a^2 + 11*a^2 - 8*a^4 + 5*a^6 - 2*a^8 - 17*z^2 + (5*z^2)/a^2 + 
   24*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   23*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15741] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + 
   a^4 + a^6 - a^8 + 7*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15742] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 
   8*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15743] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^10 + 6*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 18*a^4*z^4 + 3*a^6*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15744] -> -8 + a^(-6) - 3/a^4 + 6/a^2 + 7*a^2 - 
   2*a^4 - 25*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 28*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15745] -> 
  -6 + 2/a^2 + 8*a^2 - 4*a^4 + 2*a^6 - a^8 - 16*z^2 + (5*z^2)/a^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15746] -> -7 + 2/a^6 - 5/a^4 + 7/a^2 + 
   5*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15747] -> -8 - a^(-4) + 5/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   26*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15748] -> 
  a^(-4) - a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4/a^4 - 
   (5*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 15749] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - a^(-2) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15750] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 2*a^4 + 2*a^6 - 
   a^8 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15751] -> -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   13*z^2 + (5*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15752] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15753] -> -3 + a^(-2) + 5*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15754] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (10*z^2)/a^12 - (7*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (9*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15755] -> 
  -3 + 2/a^2 + a^2 + 3*a^6 - 2*a^8 - 9*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15756] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15757] -> -7 + a^(-6) - 4/a^4 + 7/a^2 + 6*a^2 - 
   2*a^4 - 24*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 28*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15758] -> 
  -8 + a^(-6) - 4/a^4 + 8/a^2 + 5*a^2 - a^4 - 23*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (21*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 15759] -> 
  1 + a^(-4) - 2/a^2 + 3*a^2 - 4*a^4 + 3*a^6 - a^8 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4/a^4 - 
   (5*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 15760] -> 
  a^(-2) - 3*a^2 + 3*a^4 + 2*a^6 - 2*a^8 - 5*z^2 + (4*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15761] -> -2/a^14 + 6/a^12 - 7/a^10 + 2/a^8 + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (14*z^2)/a^10 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (14*z^4)/a^10 - (11*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15762] -> -4 + 2/a^2 + 4*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   13*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15763] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 5*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 15764] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (13*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15765] -> 
  -5 + 3/a^8 - 9/a^6 + 3/a^4 + 9/a^2 - 14*z^2 + (6*z^2)/a^8 - (23*z^2)/a^6 + 
   (11*z^2)/a^4 + (26*z^2)/a^2 - 14*z^4 + (4*z^4)/a^8 - (24*z^4)/a^6 + 
   (18*z^4)/a^4 + (32*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (15*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 15766] -> 
  1 + a^(-8) - 2/a^6 - 3/a^4 + 6/a^2 - 2*a^2 + 4*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 - (4*z^2)/a^4 + (14*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15767] -> -4 + 2/a^8 - 6/a^6 + a^(-4) + 8/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (9*z^2)/a^4 + (22*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + (16*z^4)/a^4 + (29*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (11*z^6)/a^6 + (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15768] -> a^(-8) - 3/a^6 + 4/a^2 - a^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (12*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   z^4/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15769] -> 6 - 3/a^2 + 2*a^2 - 7*a^4 + 3*a^6 + 20*z^2 - 
   (7*z^2)/a^2 - 2*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 + 24*z^4 - (5*z^4)/a^2 - 
   10*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 12*z^6 - z^6/a^2 - 12*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 15770] -> 
  5 - a^(-4) - 2*a^2 - 3*a^4 + 2*a^6 + 9*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   8*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15771] -> 4 - 2/a^4 + 3/a^2 - 6*a^2 + a^4 + a^6 + 
   5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 14*a^2*z^2 + 3*a^6*z^2 + z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 14*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15772] -> -a^(-6) + a^(-4) + 2/a^2 - 2*a^2 + a^6 - 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 15773] -> 
  -5 + 3/a^8 - 9/a^6 + 3/a^4 + 9/a^2 - 14*z^2 + (6*z^2)/a^8 - (23*z^2)/a^6 + 
   (11*z^2)/a^4 + (26*z^2)/a^2 - 14*z^4 + (4*z^4)/a^8 - (24*z^4)/a^6 + 
   (18*z^4)/a^4 + (32*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (15*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 15774] -> 
  -2/a^14 + 7/a^12 - 8/a^10 + 2/a^8 + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (16*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (14*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15775] -> 
  1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15776] -> 
  4 - 2/a^8 + 3/a^6 + 2/a^4 - 5/a^2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15777] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-2) - a^2 + a^4 + (3*z^2)/a^8 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 15778] -> 2 + 2/a^8 - 8/a^6 + 7/a^4 - 2*a^2 + 5*z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (16*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (12*z^4)/a^6 + (16*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 15779] -> 
  1 + a^(-10) - 3/a^8 + 3/a^4 - a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 15780] -> 
  a^(-12) - 3/a^10 + 2/a^8 - 2/a^6 + 4/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15781] -> 
  1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15782] -> 
  a^(-12) - 3/a^10 + 2/a^8 - 2/a^6 + 4/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15783] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 11*z^2 - (5*z^2)/a^6 + (17*z^2)/a^4 - 
   (9*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (12*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 15784] -> 
  2 - a^(-8) + a^(-6) + 4/a^4 - 6/a^2 + a^2 - z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 15785] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 15786] -> 
  1 - 2/a^10 + 5/a^8 - 5/a^6 + 3/a^4 - a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (13*z^2)/a^8 - (11*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (11*z^4)/a^8 - (13*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15787] -> 
  1 - a^(-12) + a^(-10) + 2/a^8 - 3/a^6 + a^(-4) + 2*z^2 - z^2/a^12 + 
   (4*z^2)/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + z^4 + (3*z^4)/a^10 - 
   z^4/a^8 - (8*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 15788] -> 
  2 - a^(-12) + a^(-10) + 3/a^8 - 5/a^6 + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 + (2*z^2)/a^8 - (10*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15789] -> 3 + a^(-8) - 5/a^6 + 5/a^4 - a^(-2) - 
   2*a^2 + 6*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (12*z^2)/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (12*z^4)/a^6 + (14*z^4)/a^4 + (9*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 15790] -> 
  1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 15791] -> 
  3/a^12 - 9/a^10 + 7/a^8 - 3/a^6 + 5/a^4 - 2/a^2 + (3*z^2)/a^12 - 
   (16*z^2)/a^10 + (14*z^2)/a^8 + z^2/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + (8*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (7*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15792] -> -a^(-12) + a^(-10) + 2/a^8 - 2/a^6 + a^2 - 
   z^2 + (3*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15793] -> 
  -2 + 2*a^2 + 3*a^4 + 2*a^6 - 6*a^8 + 2*a^10 - 5*z^2 + 3*a^2*z^2 + 
   14*a^4*z^2 + 5*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 3*a^2*z^4 + 
   20*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   13*a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 15794] -> 6 + a^(-6) - 3/a^4 - 3*a^2 + 11*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - 3*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 15795] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15796] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (17*z^4)/a^8 - (10*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15797] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (5*z^4)/a^8 - (9*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15798] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 2/a^8 - 2/a^6 + 3/a^4 - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (11*z^2)/a^10 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (13*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15799] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - a^(-8) + a^(-4) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15800] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^8 - 4/a^6 + 
   4/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (14*z^2)/a^10 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 15801] -> -a^(-14) + 2/a^12 + a^(-10) - 
   4/a^8 + 2/a^6 - a^(-4) + 2/a^2 - z^2/a^14 + (5*z^2)/a^12 - (7*z^2)/a^8 + 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 15802] -> 
  1 - a^(-14) + 2/a^12 - a^(-8) - a^(-6) + a^(-4) + z^2 + (3*z^2)/a^12 - 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 15803] -> 
  -1 - a^2 + 5*a^4 + 3*a^6 - 7*a^8 + 2*a^10 - 4*z^2 - a^2*z^2 + 16*a^4*z^2 + 
   9*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + a^2*z^4 + 22*a^4*z^4 + 
   11*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 14*a^4*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 15804] -> -2 + 2*a^2 + 4*a^4 - a^6 - 3*a^8 + a^10 - 
   3*z^2 - z^2/a^2 + 5*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 - z^4 - z^4/a^2 + 7*a^2*z^4 + 11*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 
   z^6 + 4*a^2*z^6 + 5*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 15805] -> 
  3/a^12 - 7/a^10 - a^(-8) + 9/a^6 - 3/a^4 + (7*z^2)/a^12 - (23*z^2)/a^10 + 
   (6*z^2)/a^8 + (27*z^2)/a^6 - (10*z^2)/a^4 + (5*z^4)/a^12 - (25*z^4)/a^10 + 
   (14*z^4)/a^8 + (32*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (13*z^6)/a^8 + (20*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15806] -> 2/a^12 - 4/a^10 - 2/a^8 + 5/a^6 + a^(-4) - 
   a^(-2) + (3*z^2)/a^12 - (9*z^2)/a^10 - (3*z^2)/a^8 + (15*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (15*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15807] -> a^(-12) - a^(-10) - 3/a^8 + a^(-6) + 5/a^4 - 
   2/a^2 + (2*z^2)/a^12 - (4*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + 
   (10*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15808] -> -1 + a^(-12) - 2/a^10 + a^(-4) + 2/a^2 - 
   2*z^2 + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - (2*z^4)/a^10 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 15809] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (17*z^2)/a^6 + (10*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (12*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15810] -> 2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 15811] -> 
  6 + a^(-6) - 3/a^4 - 3*a^2 + 11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   3*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 15812] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 12*z^2 + (4*z^2)/a^4 - (14*z^2)/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 11*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + 9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 15813] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 15814] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (17*z^4)/a^8 - (10*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15815] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (5*z^4)/a^8 - (9*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15816] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 11*z^2 - (5*z^2)/a^6 + (17*z^2)/a^4 - 
   (9*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (12*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 15817] -> 
  2 - a^(-8) + a^(-6) + 4/a^4 - 6/a^2 + a^2 - z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 15818] -> 
  4 - 2/a^8 + 3/a^6 + 2/a^4 - 5/a^2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15819] -> 
  -2/a^14 + 7/a^12 - 8/a^10 + 2/a^8 + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (16*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (14*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 15820] -> 
  1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15821] -> 
  2 + 2/a^8 - 8/a^6 + 7/a^4 - 2*a^2 + 5*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (16*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (16*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + 
   (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15822] -> a^(-12) - 3/a^10 + 2/a^8 - 2/a^6 + 4/a^4 - 
   a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15823] -> 1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 
   2/a^2 + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15824] -> a^(-12) - 3/a^10 + 2/a^8 - 2/a^6 + 4/a^4 - 
   a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15825] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + (2*z^6)/a^2 - 
   5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 15826] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 12*z^2 + 
   (4*z^2)/a^4 - (14*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 11*z^4 + 
   (4*z^4)/a^4 - (17*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 15827] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 15828] -> 
  -2 + 2*a^2 + 3*a^4 + 2*a^6 - 6*a^8 + 2*a^10 - 5*z^2 + 3*a^2*z^2 + 
   14*a^4*z^2 + 5*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 3*a^2*z^4 + 
   20*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   13*a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 15829] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (17*z^2)/a^6 + (10*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (12*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15830] -> 2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 15831] -> 
  11 - 5/a^2 - 5*a^2 + 28*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (8*z^2)/a^2 - 
   12*a^2*z^2 + 31*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 11*a^2*z^4 + 
   18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15832] -> 9 - 4/a^2 - 4*a^2 + 25*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (7*z^2)/a^2 - 11*a^2*z^2 + 29*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 15833] -> 
  4 - 2/a^2 - a^4 + 9*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 15834] -> 6*a^4 - 8*a^6 + 3*a^8 - 3*z^2 + 
   5*a^2*z^2 + 12*a^4*z^2 - 23*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 11*a^2*z^4 + 
   7*a^4*z^4 - 27*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 2*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15835] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 15836] -> 
  4*a^2 - 4*a^4 + a^8 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 - 
   a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 9*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 15837] -> 
  11 - 5/a^2 - 5*a^2 + 28*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (8*z^2)/a^2 - 
   12*a^2*z^2 + 31*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 11*a^2*z^4 + 
   18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 15838] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (12*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 15839] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) - 2*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 15840] -> 
  2/a^8 - 6/a^6 + 5/a^4 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15841] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15842] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   z^4/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15843] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15844] -> 2/a^8 - 6/a^6 + 5/a^4 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 + z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 15845] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15846] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 15847] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   8*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 15848] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + z^4/a^8 + (12*z^4)/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + z^6/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 15849] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15850] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - 
   z^4/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 15851] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 15852] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 15853] -> -a^(-8) + 2/a^4 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15854] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (16*z^2)/a^10 + (15*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (23*z^4)/a^10 + (31*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (28*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 15855] -> a^(-12) - 5/a^10 + 6/a^8 - 
   3/a^6 + 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + (14*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (14*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15856] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (18*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + z^4/a^8 + 
   (20*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15857] -> -2/a^8 + 2/a^6 + a^(-4) - z^2 + z^2/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4 - (3*z^4)/a^10 + 
   z^4/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15858] -> 
  2 - a^(-10) + 4/a^6 - 3/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15859] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 2/a^2 + a^2 - z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 15860] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   7*a^2*z^2 - 18*a^4*z^2 + 19*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 
   26*a^4*z^4 + 16*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 15861] -> 4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 2*a^10 - 
   2*z^2 + 12*a^2*z^2 - 23*a^4*z^2 + 22*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 26*a^4*z^4 + 23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 15862] -> 
  2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 5*z^2 - z^2/a^2 - 8*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15863] -> 
  1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15864] -> 
  -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + a^4 - z^2/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15865] -> 1 - 2/a^10 + 4/a^8 - a^(-6) - 2/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15866] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + a^6 + 2*a^8 - 
   a^10 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 
   6*z^4 + z^4/a^2 + 7*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 15867] -> 
  2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15868] -> 
  -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^8 - 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 15869] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 
   2*a^2 + 2*a^4 - a^6 - 11*z^2 + z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 15870] -> 
  1 + a^(-2) - 5*a^2 + 4*a^4 + 2*a^6 - 2*a^8 - 2*z^2 + (3*z^2)/a^2 - 
   7*a^2*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + a^2*z^4 - 
   12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15871] -> -3 + 2/a^2 + a^2 + a^4 + a^6 - a^8 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 15872] -> 
  -6 - a^(-4) + 5/a^2 + 2*a^2 + 2*a^4 - a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15873] -> -1 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 - a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15874] -> 
  -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15875] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15876] -> 
  2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - a^(-2) + 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15877] -> a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 15878] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 15879] -> -4 + a^(-2) + 8*a^2 - 7*a^4 + 5*a^6 - 
   2*a^8 - 18*z^2 + (5*z^2)/a^2 + 28*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 27*z^4 + (7*z^4)/a^2 + 33*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 15880] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 7*z^2 + (3*z^2)/a^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 15881] -> -7 + 3/a^2 + 8*a^2 - 6*a^4 + 
   5*a^6 - 2*a^8 - 20*z^2 + (6*z^2)/a^2 + 24*a^2*z^2 - 21*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 21*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 26*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15882] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   20*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 24*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 15883] -> 
  a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 3*a^2*z^2 - 7*a^4*z^2 + 
   19*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   16*a^4*z^4 + 23*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 15884] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 
   4*a^4 + a^6 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15885] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 6*a^2*z^2 - 
   13*a^4*z^2 + 10*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 
   19*a^4*z^4 + 7*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - 
   a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 15886] -> 
  3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 2*a^10 - z^2 + 8*a^2*z^2 - 18*a^4*z^2 + 
   22*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 23*a^4*z^4 + 
   24*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 15887] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   11*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 21*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15888] -> 
  a^2 + a^6 - a^8 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 15889] -> -9 - a^(-4) + 5/a^2 + 11*a^2 - 
   7*a^4 + 2*a^6 - 24*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 24*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 25*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15890] -> -3 + a^(-2) + 6*a^2 - 6*a^4 + 5*a^6 - 
   2*a^8 - 12*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 20*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15891] -> 
  -4 + 2/a^2 + 4*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 13*z^2 + (5*z^2)/a^2 + 
   13*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15892] -> 2/a^4 - 2/a^2 + a^2 - a^6 + 
   a^8 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 + 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 15893] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 15894] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 + 2*z^4 + a^2*z^4 - 16*a^4*z^4 + 14*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 15895] -> 
  -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - 21*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15896] -> -3/a^10 + 8/a^8 - 6/a^6 - 
   a^(-4) + 3/a^2 - (7*z^2)/a^10 + (24*z^2)/a^8 - (17*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (25*z^4)/a^8 - (14*z^4)/a^6 - 
   (14*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 15897] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - 
   a^(-4) + a^(-2) + 2*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - z^2/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15898] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15899] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) + a^2 - 2*z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15900] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15901] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 
   7*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 21*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15902] -> -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15903] -> 
  1 + a^(-2) - 4*a^2 + 2*a^4 + 3*a^6 - 2*a^8 - 3*z^2 + (3*z^2)/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15904] -> -2 + 2/a^2 - a^2 + 2*a^4 + a^6 - 
   a^8 - 3*z^2 + z^2/a^4 - 3*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15905] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15906] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15907] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15908] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + a^2 + 2*a^4 - 
   a^6 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 15909] -> 
  2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15910] -> a^(-10) - 2/a^8 + a^(-6) + a^(-4) - a^(-2) + 
   a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 15911] -> a^(-6) - a^(-4) + a^2 - z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15912] -> 
  -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 27*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 20*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 15913] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 
   4*a^2 - a^4 - 15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 15914] -> -3 + a^(-2) + 6*a^2 - 6*a^4 + 5*a^6 - 
   2*a^8 - 15*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 24*z^4 + (6*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 15915] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15916] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 8*z^2 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 15917] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15918] -> 
  -2 + 2/a^2 - a^4 + 4*a^6 - 2*a^8 - 7*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15919] -> a^(-4) - a^(-2) + 2*a^4 - a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15920] -> 
  2 + a^(-4) - a^(-2) - 4*a^2 + 3*a^4 + a^6 - a^8 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 15921] -> 1 + a^(-8) - a^(-6) - a^2 + a^4 - z^2 - 
   (2*z^2)/a^6 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + z^4/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^4 + (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 15922] -> 
  2 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 3/a^4 - a^(-2) + 3*z^2 + 
   (6*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (11*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 15923] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + 
   a^2 - z^2 + z^2/a^10 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15924] -> 
  2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (18*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15925] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 - 
   z^2 - z^2/a^8 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 15926] -> 
  a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 4*a^4*z^2 + 3*a^6*z^2 - 
   7*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 
   12*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 7*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 15927] -> 
  1 - a^2 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 4*a^4*z^2 + 
   14*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 7*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 15928] -> 
  1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 15929] -> -3 + a^(-2) + 6*a^2 - 6*a^4 + 
   5*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 22*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15930] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   14*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 
   17*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15931] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15932] -> 
  -6 + 3/a^2 + 6*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 18*z^2 + (5*z^2)/a^2 + 
   20*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   27*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15933] -> -2 + a^(-4) + 2*a^2 - a^4 + 
   2*a^6 - a^8 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 15934] -> -5 - 2/a^8 + 6/a^6 - 6/a^4 + 
   5/a^2 + 3*a^2 - 14*z^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - (21*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (27*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 15935] -> -1 - a^(-8) + 3/a^6 - 2/a^4 + 
   a^(-2) + a^4 - 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 15936] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 6*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 15937] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^4 + a^6 - 3*z^2 - z^2/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (2*z^4)/a^6 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 15938] -> a^2 - 2*a^4 + 7*a^6 - 9*a^8 + 6*a^10 - 
   2*a^12 + 3*a^2*z^2 - 9*a^4*z^2 + 23*a^6*z^2 - 21*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 27*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 15939] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15940] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   19*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + 
   z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15941] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 + 5*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 15942] -> 
  1 - a^(-10) + 5/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (11*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + 
   (11*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 15943] -> -3 + 2/a^2 + 2*a^2 - 2*a^4 + 4*a^6 - 2*a^8 - 
   10*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15944] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15945] -> -4 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 + a^2 + 
   a^4 - 9*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15946] -> 
  -7 - 2/a^4 + 7/a^2 + 2*a^2 + 2*a^4 - a^6 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 12*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15947] -> -4 - a^(-8) + 5/a^6 - 8/a^4 + 8/a^2 - a^2 + 
   2*a^4 - 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (15*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15948] -> 
  3 + a^(-6) - 2/a^2 - 2*a^2 + a^6 + 5*z^2 - z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   z^4/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 15949] -> 1 - a^2 + a^4 + a^6 - a^8 - 2*a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 15950] -> 
  a^(-2) - 2*a^2 + a^4 + 3*a^6 - 2*a^8 - 7*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 
   17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 15951] -> -3 + 2/a^2 + a^2 + a^4 + a^6 - a^8 - 6*z^2 + 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 15952] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15953] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*a^4 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 15954] -> 
  2/a^6 - 3/a^4 + 2/a^2 - a^2 + a^6 - z^2/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 15955] -> 2*a^4 - a^6 - a^8 + 4*a^10 - 4*a^12 + a^14 - 
   a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 9*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 14*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 15956] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 17*a^4*z^4 + 
   8*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 15957] -> 1 - a^2 + 3*a^4 - 4*a^6 + 
   3*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 15958] -> -2 - 2/a^8 + 4/a^6 - 5/a^4 + 
   6/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 
   4*z^4 + (4*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15959] -> 2 - a^(-8) + a^(-6) - a^2 + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15960] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15961] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 15962] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - 3*z^4 - z^4/a^2 + 7*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 15963] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^4 - 
   z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 15964] -> 
  -2 + a^(-10) - 5/a^8 + 8/a^6 - 8/a^4 + 7/a^2 - 5*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15965] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 15966] -> 
  -6 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + 2*a^2 - 15*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 15967] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 15968] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 
   14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 15969] -> 
  5 - 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 10*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 15970] -> 3*a^2 - 6*a^4 + 9*a^6 - 7*a^8 + 2*a^10 - 
   z^2 + 10*a^2*z^2 - 22*a^4*z^2 + 25*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 11*a^2*z^4 - 27*a^4*z^4 + 25*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 15*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 15971] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 10*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 15972] -> -7 - a^(-4) + 4/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   25*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 15973] -> 
  -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15974] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 
   2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15975] -> 
  -5 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + a^2 + a^4 - 9*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15976] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15977] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^4 - 
   a^(-2) + 2*z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4 - (6*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 15978] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 15979] -> 1 - a^(-6) + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + 
   3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 15980] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 + 
   z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 15981] -> 
  -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + a^8 - 15*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 9*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15982] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 15983] -> -1 + 2/a^6 - 4/a^4 + 4/a^2 - a^2 + a^6 + 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 15984] -> 
  -7 + 4/a^2 + 5*a^2 - a^4 - a^6 + a^8 - 15*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   7*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 8*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 15985] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   a^6 + 2*a^8 - a^10 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 7*a^2*z^4 - a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 
   3*a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 15986] -> 
  -a^(-14) + 3/a^12 - 5/a^10 + 4/a^8 - a^(-6) + a^(-2) - z^2/a^14 + 
   (7*z^2)/a^12 - (7*z^2)/a^10 + (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 15987] -> -4 + a^(-2) + 9*a^2 - 8*a^4 + 4*a^6 - a^8 - 
   17*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 19*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   25*z^4 + (7*z^4)/a^2 + 32*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 15988] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 5*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 15989] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^4 - a^6 - 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 15990] -> -1 + 4*a^2 - 4*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   3*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 15991] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 11*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 17*a^2*z^4 - 24*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15992] -> 
  -5 + a^(-6) - 4/a^4 + 6/a^2 + 5*a^2 - 2*a^4 - 18*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 15993] -> 
  a^(-6) - 3/a^4 + 3/a^2 - a^2 + 2*a^4 - a^6 + z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 15994] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 8*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 15995] -> 
  -2 - a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 + z^2 - (4*z^2)/a^2 + 22*a^2*z^2 - 
   20*a^4*z^2 + 5*a^6*z^2 + 9*z^4 - (6*z^4)/a^2 + 20*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 15996] -> 2 - 2/a^2 + 6*a^2 - 7*a^4 + 2*a^6 + 4*z^2 - 
   (4*z^2)/a^2 + 16*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 + 8*z^4 - (5*z^4)/a^2 + 
   17*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 15997] -> 1 - a^(-4) + a^(-2) + 2*a^2 - 
   3*a^4 + a^6 + 5*z^2 - z^2/a^4 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - z^4/a^4 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 15998] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 
   7*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 15999] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   z^2/a^8 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16000] -> 5 - a^(-8) + 4/a^6 - 5/a^4 - 2*a^2 + 9*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16001] -> 1 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*a^2 - a^4 + z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 + z^4/a^8 - (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 16002] -> 
  -2 - a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 + z^2 - (4*z^2)/a^2 + 22*a^2*z^2 - 
   20*a^4*z^2 + 5*a^6*z^2 + 9*z^4 - (6*z^4)/a^2 + 20*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 16003] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (9*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16004] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16005] -> -4 + 3/a^6 - 11/a^4 + 13/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16006] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 9*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (16*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 16007] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   a^2*z^2 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 16008] -> 
  -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 + (5*z^2)/a^10 - (21*z^2)/a^8 + 
   (21*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (6*z^4)/a^8 + (21*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (5*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 16009] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   4*z^2 + z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 16010] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   a^6*z^2 + 6*z^4 - z^4/a^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 16011] -> -a^(-12) + 5/a^10 - 10/a^8 + 
   7/a^6 + z^2/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (16*z^4)/a^10 + (16*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (6*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 16012] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + z^2/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16013] -> 
  2 + a^(-4) - 2/a^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16014] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 - 3*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + (13*z^4)/a^4 + z^4/a^2 - 
   3*z^6 + z^6/a^8 - (10*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (9*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16015] -> -2/a^14 + 8/a^12 - 12/a^10 + 7/a^8 - 2/a^6 + 
   2/a^4 - (3*z^2)/a^14 + (16*z^2)/a^12 - (22*z^2)/a^10 + (9*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (18*z^4)/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 16016] -> 1 - a^(-10) + a^(-8) - a^(-6) + 
   3/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (10*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16017] -> 3 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 
   a^4 + 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 16018] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   a^(-4) - a^(-2) - a^2 + a^4 - z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 16019] -> 
  3 + 2/a^8 - 10/a^6 + 12/a^4 - 4/a^2 - 2*a^2 + 5*z^2 + (3*z^2)/a^8 - 
   (19*z^2)/a^6 + (24*z^2)/a^4 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - (13*z^4)/a^6 + 
   (21*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + 
   (10*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16020] -> 1 + a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 - a^2 + 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 16021] -> a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16022] -> 1 - a^(-10) + a^(-8) - a^(-6) + 3/a^4 - 
   2/a^2 + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16023] -> a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16024] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16025] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (4*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16026] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^6 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16027] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 16028] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16029] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16030] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (7*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16031] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   5*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   5*z^4 - (9*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 16032] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   11*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16033] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16034] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 16035] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (13*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + (10*z^4)/a^8 + 
   (12*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + (17*z^6)/a^8 + 
   (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 16036] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 - (4*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16037] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 19*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 16*z^4 + (7*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16038] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16039] -> 
  3 - a^(-2) - a^2 + 2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 16040] -> 1 - 2/a^10 + 5/a^8 - 6/a^6 + 5/a^4 - 2/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - (16*z^2)/a^6 + (8*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (12*z^4)/a^8 - (17*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16041] -> 1 - a^(-12) + a^(-10) + 2/a^8 - 4/a^6 + 
   3/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + z^2/a^4 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (9*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 16042] -> 2 - a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + 
   3/a^4 - 2/a^2 + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16043] -> 3 + a^(-8) - 6/a^6 + 7/a^4 - 2/a^2 - 2*a^2 + 
   6*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + (19*z^2)/a^4 - 5*a^2*z^2 + 6*z^4 + 
   z^4/a^8 - (13*z^4)/a^6 + (19*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^6 + (10*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 16044] -> 
  1 - 3/a^6 + 4/a^4 - a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (8*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 16045] -> 
  3/a^12 - 10/a^10 + 9/a^8 - 4/a^6 + 5/a^4 - 2/a^2 + (3*z^2)/a^12 - 
   (18*z^2)/a^10 + (19*z^2)/a^8 - z^2/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^12 - (12*z^4)/a^10 + (18*z^4)/a^8 + (7*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16046] -> -a^(-12) + 2/a^10 - a^(-6) + a^2 - z^2 + 
   (3*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 16047] -> -2 + 4*a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 
   2*a^10 - 5*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + 21*a^6*z^2 - 16*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 14*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16048] -> 2 - a^(-2) - 2*a^2 + 4*a^4 - 3*a^8 + a^10 + 
   5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 9*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 16049] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16050] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16051] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 22*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (21*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 27*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16052] -> -1 - 2/a^4 + 4/a^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16053] -> 4 - a^(-4) - 2*a^2 + 9*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16054] -> -4 + 10*a^2 - 5*a^4 - 9*z^2 + z^2/a^2 + 
   18*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 + 
   6*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + 8*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16055] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (22*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16056] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 3/a^8 - 2/a^6 + 3/a^4 - (3*z^2)/a^14 + 
   (15*z^2)/a^12 - (18*z^2)/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (18*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 16057] -> -a^(-14) + 4/a^12 - 4/a^10 + a^(-4) + 
   a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 16058] -> -2/a^14 + 8/a^12 - 10/a^10 + 
   5/a^8 - 4/a^6 + 4/a^4 - (3*z^2)/a^14 + (16*z^2)/a^12 - (19*z^2)/a^10 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (17*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - 
   (9*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16059] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 2/a^2 - z^2/a^14 + 
   (6*z^2)/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 16060] -> 1 - a^(-14) + 3/a^12 - 2/a^10 - 
   a^(-6) + a^(-4) + z^2 + (3*z^2)/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2, Knot[15, Alternating, 16061] -> -1 + 3*a^4 + 4*a^6 - 7*a^8 + 
   2*a^10 - 4*z^2 + 5*a^2*z^2 + 3*a^4*z^2 + 15*a^6*z^2 - 15*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 12*a^2*z^4 - 6*a^4*z^4 + 22*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16062] -> -2 + 3*a^2 + 2*a^4 - 3*a^8 + a^10 - 2*z^2 - 
   z^2/a^2 + 7*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 16063] -> 
  3/a^12 - 8/a^10 + a^(-8) + 8/a^6 - 3/a^4 + (7*z^2)/a^12 - (29*z^2)/a^10 + 
   (19*z^2)/a^8 + (21*z^2)/a^6 - (10*z^2)/a^4 + (5*z^4)/a^12 - 
   (36*z^4)/a^10 + (42*z^4)/a^8 + (21*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - 
   (18*z^6)/a^10 + (36*z^6)/a^8 + (14*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + 
   (14*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 16064] -> 2/a^12 - 5/a^10 + 4/a^6 + a^(-4) - a^(-2) + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (5*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (9*z^4)/a^8 + (18*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (12*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16065] -> a^(-12) - 2/a^10 - a^(-8) + 5/a^4 - 2/a^2 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + (10*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (8*z^4)/a^8 + (9*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (7*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16066] -> -1 + a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 
   a^(-4) + 2/a^2 - 2*z^2 + z^2/a^12 - (6*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 16067] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + 7*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 16068] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 16069] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 10*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (18*z^2)/a^4 + (25*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (28*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16070] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (11*z^2)/a^4 + (3*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (27*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (27*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 16071] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (13*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (13*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16072] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + 
   (2*z^2)/a^8 - (12*z^2)/a^6 + (16*z^2)/a^4 - 6*z^4 + (2*z^4)/a^8 - 
   (16*z^4)/a^6 + (23*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (11*z^6)/a^6 + (21*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16073] -> 3 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 
   a^4 + 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 16074] -> -2/a^14 + 8/a^12 - 12/a^10 + 
   7/a^8 - 2/a^6 + 2/a^4 - (3*z^2)/a^14 + (16*z^2)/a^12 - (22*z^2)/a^10 + 
   (9*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (18*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (9*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16075] -> 
  1 - a^(-10) + a^(-8) - a^(-6) + 3/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16076] -> 3 + 2/a^8 - 10/a^6 + 12/a^4 - 
   4/a^2 - 2*a^2 + 5*z^2 + (3*z^2)/a^8 - (19*z^2)/a^6 + (24*z^2)/a^4 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (13*z^4)/a^6 + (21*z^4)/a^4 + (9*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (10*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 16077] -> 
  a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (8*z^2)/a^8 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (11*z^4)/a^8 + (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16078] -> 
  1 - a^(-10) + a^(-8) - a^(-6) + 3/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16079] -> a^(-12) - 3/a^10 + a^(-8) + 
   3/a^4 - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16080] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + 
   z^2/a^12 + (2*z^2)/a^10 - (15*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (4*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (16*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 16081] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16082] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (7*z^4)/a^10 + (3*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16083] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 16084] -> 
  -1 + 4*a^2 - 2*a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16085] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16086] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 9*z^4 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16087] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (14*z^4)/a^6 + (18*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + (20*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 16088] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16089] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (13*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (21*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 16090] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (8*z^4)/a^6 + (8*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16091] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 + 4*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16092] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + (9*z^4)/a^4 + z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 16093] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 16094] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 - z^4/a^6 - z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 - 4*z^6 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16095] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + z^6/a^4 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + 
   z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16096] -> -2 + 4*a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 
   2*a^10 - 5*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + 21*a^6*z^2 - 16*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 14*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16097] -> -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 + 
   z^2/a^12 + z^2/a^10 - (14*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (15*z^4)/a^10 + (11*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (21*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 16098] -> a^(-10) - a^(-8) - 3/a^6 + 
   4/a^4 + z^2/a^12 - (3*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16099] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16100] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 16101] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16102] -> 2 + a^(-4) - 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 16103] -> 3 - a^(-2) - a^2 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 16104] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 9*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 16105] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 5*z^2 - z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16106] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^2 - 6*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   7*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16107] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (18*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16108] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 16109] -> a^(-8) - 5/a^6 + 6/a^4 - 
   a^(-2) - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 + 
   z^2/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 + 
   (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16110] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 16111] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (12*z^2)/a^6 + (4*z^4)/a^10 - (14*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16112] -> 6 - 2/a^2 - 4*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16113] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16114] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 6*z^2 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 16115] -> 
  3*a^2 - 7*a^4 + 10*a^6 - 6*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 22*a^4*z^2 + 
   26*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 
   25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16116] -> 1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 16117] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (17*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 16118] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16119] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16120] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - z^2 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - 
   z^4/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 16121] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - z^2 + 
   7*a^2*z^2 - 15*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 16122] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 16123] -> 
  3*a^2 - 7*a^4 + 10*a^6 - 6*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 22*a^4*z^2 + 
   26*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 
   25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16124] -> 2 + a^(-4) - 2/a^2 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 16125] -> 
  5*a^2 - 7*a^4 + 2*a^6 + 2*a^8 - a^10 - 2*z^2 + 10*a^2*z^2 - 10*a^4*z^2 - 
   4*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 6*a^2*z^4 - 3*a^4*z^4 - 
   8*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 16126] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + a^10*z^2 + 
   z^4 - z^4/a^2 - 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 16127] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16128] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 - a^2*z^2 + 
   4*a^4*z^2 - a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16129] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2/a^2 + 
   a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16130] -> 3 - a^(-2) - a^2 + 3*z^2 - 3*a^2*z^2 + 
   a^6*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 16131] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 16132] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16133] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - a^2*z^2 + 
   2*a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 16134] -> 
  -3 + a^(-4) + a^(-2) + 2*a^2 - a^6 + a^8 - 5*z^2 - z^2/a^4 + 2*a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 16135] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 16136] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 16137] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 2*a^6*z^2 + z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16138] -> -1 + 2/a^2 - a^2 + a^6 - z^2/a^4 + z^2/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 16139] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 11*a^2*z^2 - 19*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 24*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 16140] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 16141] -> a^(-2) - a^4 + a^6 - 2*z^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16142] -> 2*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 16143] -> 
  1 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   13*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16144] -> -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16145] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16146] -> 
  1 - 3*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 
   9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 16147] -> -1 + a^(-2) + a^2 - 2*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16148] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + (4*z^2)/a^2 - 
   a^4*z^2 + 2*a^6*z^2 - 3*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 16149] -> -2 + 2/a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^8*z^2 - z^4 - z^4/a^4 - 2*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 16150] -> a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 10*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 3*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 16151] -> 2 - a^2 - 3*a^4 + 6*a^6 - 
   4*a^8 + a^10 + z^2 + a^2*z^2 - 12*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16152] -> a^(-2) - a^2 + a^4 + z^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 16153] -> 
  -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   12*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 16154] -> 
  a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 6*a^6*z^2 - 
   13*a^8*z^2 + 18*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + a^4*z^4 + 8*a^6*z^4 - 
   20*a^8*z^4 + 19*a^10*z^4 - 4*a^12*z^4 - 2*a^4*z^6 + 7*a^6*z^6 - 
   15*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 4*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 16155] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 16156] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 16157] -> -2 - a^(-6) + 5/a^4 - 4/a^2 + 3*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16158] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 9*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16159] -> -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   4*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 16160] -> 
  1 + a^(-6) - a^(-2) - a^2 + a^6 - z^2/a^6 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 16161] -> a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 4*a^12 + 
   a^14 + a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 18*a^10*z^2 - 9*a^12*z^2 + 
   a^14*z^2 - 2*a^4*z^4 + 16*a^6*z^4 - 23*a^8*z^4 + 19*a^10*z^4 - 
   4*a^12*z^4 - 3*a^4*z^6 + 12*a^6*z^6 - 16*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 
   5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 16162] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16163] -> 1 - a^2 + 2*a^4 - a^6 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 16164] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 12*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16165] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 13*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16166] -> -2 - 2/a^8 + 4/a^6 - 5/a^4 + 
   6/a^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (9*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16167] -> 
  2 - a^(-8) + a^(-6) - a^2 + 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 16168] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^4 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 16169] -> a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 - 2*a^4*z^4 + 10*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 11*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 3*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 16170] -> 4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16171] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 16172] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16173] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16174] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16175] -> 2*a^2 - a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16176] -> 1 + 2/a^4 - 4/a^2 + 4*a^2 - 2*a^4 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16177] -> 1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 + 
   2*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 16178] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 4*z^2 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 16179] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16180] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16181] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16182] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16183] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 - z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   z^4/a^8 - z^4/a^6 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 16184] -> -2 - 2/a^8 + 4/a^6 - 5/a^4 + 6/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16185] -> 2 - a^(-8) + a^(-6) - a^2 + 
   4*z^2 + (2*z^2)/a^6 - z^2/a^4 - a^4*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 16186] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - (2*z^2)/a^10 + (15*z^2)/a^6 - 
   (20*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 + (6*z^4)/a^6 - 
   (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 16187] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (6*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16188] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16189] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + 
   (4*z^4)/a^4 - (10*z^4)/a^2 + 23*a^2*z^4 - 8*a^4*z^4 + z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 16190] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 16191] -> 
  -1 + a^(-2) + a^2 - z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 2*a^2*z^2 - a^4*z^2 + 
   3*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16192] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (15*z^2)/a^6 - (20*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + 
   (10*z^4)/a^8 + (6*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (4*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16193] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + 
   z^2/a^4 - z^2/a^2 - 2*z^4 + z^4/a^8 - (6*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16194] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 22*z^2 + 
   z^2/a^4 + (7*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 16195] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 16196] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 16197] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 + (2*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16198] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 16199] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + z^4/a^8 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (11*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16200] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^6 - 
   z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16201] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + z^4/a^8 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 16202] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   6*z^2 + (2*z^2)/a^8 - (14*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16203] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 16204] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   z^2/a^10 - z^2/a^8 - (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 16205] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 16206] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 
   (7*z^2)/a^8 + (20*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (3*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16207] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 3*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16208] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 + z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 16209] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^6 - z^4/a^4 + (9*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16210] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 16211] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 - 
   z^2/a^4 - a^2*z^2 - (2*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 16212] -> -a^(-4) + 2/a^2 - z^2/a^10 + z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (5*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16213] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   12*z^2 - z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 16214] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 16215] -> -3 + 10*a^2 - 8*a^4 + 2*a^6 - 
   3*z^2 + z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 8*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 16216] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (3*z^2)/a^10 + (15*z^2)/a^8 - (19*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (23*z^4)/a^8 - (34*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (29*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 16217] -> a^(-12) - 4/a^10 + 4/a^8 - 
   2/a^6 + 2/a^4 + (3*z^2)/a^12 - (16*z^2)/a^10 + (20*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (23*z^4)/a^10 + (35*z^4)/a^8 - 
   z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (29*z^6)/a^8 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 16218] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 + 11*z^4 - (3*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 + 23*z^6 - 
   (4*z^6)/a^2 - 35*a^2*z^6 + 12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 16219] -> -4 + a^(-2) + 7*a^2 - 3*a^4 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 
   10*a^2*z^4 + 5*a^4*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16220] -> -4*a^2 + 17*a^4 - 18*a^6 + 6*a^8 - 
   16*a^2*z^2 + 63*a^4*z^2 - 69*a^6*z^2 + 23*a^8*z^2 - 17*a^2*z^4 + 
   85*a^4*z^4 - 108*a^6*z^4 + 34*a^8*z^4 - 7*a^2*z^6 + 55*a^4*z^6 - 
   89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 16221] -> -2 + 7*a^2 - 3*a^4 - 3*a^6 + 2*a^8 - 7*z^2 + 
   22*a^2*z^2 - 9*a^4*z^2 - 15*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 
   14*a^4*z^4 - 25*a^6*z^4 + 12*a^8*z^4 - z^6 + 12*a^2*z^6 - 13*a^4*z^6 - 
   19*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16222] -> 
  7 - a^(-2) - 9*a^2 + 4*a^4 + 27*z^2 - (5*z^2)/a^2 - 41*a^2*z^2 + 
   16*a^4*z^2 + 46*z^4 - (8*z^4)/a^2 - 74*a^2*z^4 + 25*a^4*z^4 + 37*z^6 - 
   (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 16223] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 + 7*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16224] -> -2*a^2 + 12*a^4 - 14*a^6 + 5*a^8 - 4*z^2 + 
   6*a^2*z^2 + 19*a^4*z^2 - 34*a^6*z^2 + 13*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   6*a^4*z^4 - 36*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16225] -> 
  -1 + 5*a^2 - 2*a^4 - 3*a^6 + 2*a^8 + 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 - 7*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   12*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16226] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 20*a^2*z^2 + 9*a^4*z^2 + z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16227] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   6*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 16228] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 13*a^2*z^2 - 
   6*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 9*a^4*z^4 - 
   15*a^6*z^4 + 8*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 14*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 16229] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 
   41*z^2 + (5*z^2)/a^4 - (27*z^2)/a^2 - 16*a^2*z^2 + 74*z^4 + (8*z^4)/a^4 - 
   (46*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16230] -> 
  2*a^2 - a^4 + z^2 - z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 8*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16231] -> 
  5 - 2/a^2 - 2*a^2 + 19*z^2 + z^2/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - 
   9*a^2*z^2 + 26*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 
   17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16232] -> 3 - a^(-2) - a^2 + 19*z^2 - (5*z^2)/a^2 - 
   21*a^2*z^2 + 8*a^4*z^2 + 41*z^4 - (8*z^4)/a^2 - 56*a^2*z^4 + 20*a^4*z^4 + 
   36*z^6 - (5*z^6)/a^2 - 61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 
   33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 16233] -> 3*a^4 - 2*a^6 + 2*z^2 - 14*a^2*z^2 + 
   26*a^4*z^2 - 11*a^6*z^2 + 7*z^4 - 37*a^2*z^4 + 60*a^4*z^4 - 21*a^6*z^4 + 
   5*z^6 - 35*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 16234] -> 4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 - 
   z^2/a^4 - 15*a^2*z^2 + 6*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   22*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16235] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 7*a^2*z^2 + 
   16*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 23*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16236] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 17*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 20*z^6 + (3*z^6)/a^4 - (16*z^6)/a^2 - 8*a^2*z^6 + 
   19*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - 
   a^2*z^10 + z^12, Knot[15, Alternating, 16237] -> 
  -2/a^14 + 9/a^12 - 12/a^10 + 2/a^8 + 4/a^6 - (5*z^2)/a^14 + (29*z^2)/a^12 - 
   (42*z^2)/a^10 + (9*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (34*z^4)/a^12 - (56*z^4)/a^10 + (4*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (39*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 16238] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 7*z^2 + 
   (5*z^2)/a^8 - (31*z^2)/a^6 + (42*z^2)/a^4 - (2*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (35*z^4)/a^6 + (58*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (40*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16239] -> -a^(-14) + 3/a^12 - a^(-10) - 4/a^8 + 
   2/a^6 + 2/a^4 - (2*z^2)/a^14 + (10*z^2)/a^12 - (4*z^2)/a^10 - 
   (14*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (8*z^4)/a^10 - (20*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16240] -> 
  a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + (21*z^4)/a^4 - (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 16241] -> 
  3 - a^(-2) - a^2 + 19*z^2 - (5*z^2)/a^2 - 21*a^2*z^2 + 8*a^4*z^2 + 41*z^4 - 
   (8*z^4)/a^2 - 56*a^2*z^4 + 20*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 
   61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16242] -> 
  1 - 8*a^2 + 16*a^4 - 8*a^6 + 6*z^2 - 40*a^2*z^2 + 70*a^4*z^2 - 28*a^6*z^2 + 
   11*z^4 - 66*a^2*z^4 + 115*a^4*z^4 - 38*a^6*z^4 + 6*z^6 - 48*a^2*z^6 + 
   94*a^4*z^6 - 25*a^6*z^6 + z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 16243] -> -4*a^2 + 11*a^4 - 6*a^6 - 5*z^2 + z^2/a^2 - 
   7*a^2*z^2 + 33*a^4*z^2 - 15*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   38*a^4*z^4 - 14*a^6*z^4 - 9*z^6 + z^6/a^2 + 8*a^2*z^6 + 22*a^4*z^6 - 
   6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16244] -> 11 - 2/a^2 - 14*a^2 + 6*a^4 + 45*z^2 - 
   (9*z^2)/a^2 - 65*a^2*z^2 + 25*a^4*z^2 + 70*z^4 - (12*z^4)/a^2 - 
   111*a^2*z^4 + 37*a^4*z^4 + 49*z^6 - (6*z^6)/a^2 - 93*a^2*z^6 + 
   25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16245] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 4*z^2 + 10*a^2*z^2 + 4*a^4*z^2 - 
   16*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 3*a^4*z^4 - 21*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16246] -> -a^(-4) + 4/a^2 - 6*a^2 + 4*a^4 - 4*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 23*a^2*z^2 + 12*a^4*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 30*a^2*z^4 + 13*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 20*a^2*z^6 + 6*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16247] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 - z^2/a^4 - 15*a^2*z^2 + 6*a^4*z^2 + 
   5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16248] -> 
  -1 + 6*a^4 - 4*a^6 - 6*z^2 + 7*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16249] -> 6 - 10*a^2 + 5*a^4 + 10*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 32*a^2*z^2 + 14*a^4*z^2 - (3*z^4)/a^4 + (13*z^4)/a^2 - 
   37*a^2*z^4 + 14*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 - 22*a^2*z^6 + 
   6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16250] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - z^2/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16251] -> 1 + 2/a^2 - 6*a^2 + 4*a^4 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 - 11*a^2*z^2 + 6*a^4*z^2 - 12*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16252] -> 3*a^4 - 2*a^6 - 5*z^2 + z^2/a^2 + a^2*z^2 + 
   13*a^4*z^2 - 7*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 20*a^4*z^4 - 
   9*a^6*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16253] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   2*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16254] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 76*z^2 + (12*z^2)/a^4 - (55*z^2)/a^2 - 
   28*a^2*z^2 + 117*z^4 + (13*z^4)/a^4 - (76*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + 
   (6*z^6)/a^4 - (50*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16255] -> a^(-4) - 3/a^2 + 7*a^2 - 4*a^4 + 3*z^2 + 
   (4*z^2)/a^4 - (14*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 12*z^4 + 
   (4*z^4)/a^4 - (20*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 13*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 16256] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 36*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - 
   (14*z^2)/a^2 - 15*a^2*z^2 + 38*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 - 
   z^4/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16257] -> 1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 + 8*z^2 + 
   z^2/a^6 - z^2/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 13*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16258] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   10*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16259] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 11*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16260] -> -5 - a^(-4) + 5/a^2 + 3*a^2 - 3*a^4 + 
   2*a^6 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 23*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16261] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 16262] -> 
  3*a^4 - 2*a^6 + 2*z^2 - 14*a^2*z^2 + 26*a^4*z^2 - 11*a^6*z^2 + 7*z^4 - 
   37*a^2*z^4 + 60*a^4*z^4 - 21*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 62*a^4*z^6 - 
   18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 16263] -> 
  10 - 2/a^2 - 10*a^2 + a^4 + 2*a^6 + 29*z^2 - (7*z^2)/a^2 - 29*a^2*z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 + 30*z^4 - (5*z^4)/a^2 - 32*a^2*z^4 - 20*a^4*z^4 + 
   12*a^6*z^4 + 13*z^6 - z^6/a^2 - 20*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 16264] -> -1 - a^(-4) + 4/a^2 - 2*a^2 - a^4 + 2*a^6 - 
   2*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 10*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 
   2*z^4 - z^4/a^4 + (8*z^4)/a^2 - 14*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 
   3*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 16265] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   7*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   23*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16266] -> 5 - 6*a^2 + 2*a^6 + 6*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 15*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 16*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 16267] -> 2/a^2 - 2*a^2 - a^4 + 2*a^6 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 16268] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (19*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (23*z^4)/a^8 - 
   (34*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (29*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16269] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (3*z^2)/a^12 - (16*z^2)/a^10 + (20*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (23*z^4)/a^10 + (35*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 16270] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^8 - 
   (11*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + (4*z^6)/a^8 - (20*z^6)/a^6 + 
   (23*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - 
   (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 16271] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 16272] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 
   41*z^2 + (5*z^2)/a^4 - (27*z^2)/a^2 - 16*a^2*z^2 + 74*z^4 + (8*z^4)/a^4 - 
   (46*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16273] -> 
  -4*a^2 + 11*a^4 - 6*a^6 + 2*z^2 - 22*a^2*z^2 + 46*a^4*z^2 - 19*a^6*z^2 + 
   7*z^4 - 42*a^2*z^4 + 78*a^4*z^4 - 26*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 
   69*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 16274] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 27*z^2 - 
   (5*z^2)/a^2 - 41*a^2*z^2 + 16*a^4*z^2 + 46*z^4 - (8*z^4)/a^2 - 
   74*a^2*z^4 + 25*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16275] -> 
  -a^4 + a^6 + 8*a^8 - 9*a^10 + 2*a^12 - 5*a^4*z^2 + 2*a^6*z^2 + 39*a^8*z^2 - 
   31*a^10*z^2 + 5*a^12*z^2 - 8*a^4*z^4 + 5*a^6*z^4 + 58*a^8*z^4 - 
   35*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 40*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 16276] -> 
  5 - 2/a^2 - 2*a^2 + 19*z^2 + z^2/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - 
   9*a^2*z^2 + 26*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 
   17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16277] -> -1 + 6*a^4 - 4*a^6 - 3*z^2 - 2*a^2*z^2 + 
   21*a^4*z^2 - 10*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 27*a^4*z^4 - 
   10*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16278] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 20*a^2*z^2 + 9*a^4*z^2 + z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16279] -> 
  -a^6 + 9*a^8 - 9*a^10 + 2*a^12 - a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 + 
   17*a^8*z^2 - 15*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   16*a^6*z^4 + 14*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 16280] -> -2 + 6*a^2 - 3*a^4 + 5*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + 23*z^4 - (5*z^4)/a^2 - 28*a^2*z^4 + 11*a^4*z^4 + 
   26*z^6 - (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 
   26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 16281] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 5*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (10*z^4)/a^2 + 9*z^6 - (3*z^6)/a^6 + (17*z^6)/a^4 - (26*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (10*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 16282] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 
   2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16283] -> -4/a^6 + 7/a^4 - 2/a^2 - 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - (5*z^2)/a^6 + (17*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + (11*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 16284] -> 
  -2 + 5*a^2 + 3*a^4 - 9*a^6 + 4*a^8 - 7*z^2 + 17*a^2*z^2 + 6*a^4*z^2 - 
   28*a^6*z^2 + 12*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - 
   z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16285] -> 2 - a^(-2) + 2*a^2 - a^4 - 3*a^6 + 2*a^8 + 
   6*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 + 
   7*z^4 - z^4/a^2 + 2*a^2*z^4 - 10*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 8*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 16286] -> -2 + 7*a^2 - 2*a^4 - 5*a^6 + 
   3*a^8 - (2*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16287] -> 3 - a^(-2) - 3*a^6 + 2*a^8 + 5*z^2 - 
   z^2/a^4 - a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 16288] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 + (3*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 16289] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 + 
   10*a^4*z^2 - 7*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 + 19*a^4*z^4 - 
   9*a^6*z^4 - 10*z^6 + z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16290] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   6*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16291] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 6*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (11*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (9*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 16292] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + 
   (17*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (5*z^4)/a^6 + (11*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 16293] -> -2 - 2/a^8 + 5/a^6 - 3/a^4 + 
   a^(-2) + 2*a^2 - 9*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^8 + (12*z^4)/a^6 - (23*z^4)/a^4 + 
   (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16294] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   9*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16295] -> 2/a^12 - 8/a^10 + 5/a^8 + 4/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (28*z^2)/a^10 + (28*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^4)/a^12 - (34*z^4)/a^10 + (49*z^4)/a^8 + (18*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + (38*z^6)/a^8 + (14*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 16296] -> 
  a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (9*z^4)/a^8 + (22*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (13*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16297] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - (4*z^2)/a^14 + (19*z^2)/a^12 - 
   (25*z^2)/a^10 + (2*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (28*z^4)/a^12 - (39*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (32*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 16298] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (5*z^2)/a^12 - (23*z^2)/a^10 + (21*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (30*z^4)/a^10 + (40*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (16*z^6)/a^10 + (33*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 16299] -> -a^(-14) + 4/a^12 - 5/a^10 + 
   a^(-8) + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - (14*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (14*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 16300] -> a^(-12) - 4/a^10 + 4/a^8 - 
   2/a^6 + 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + (13*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (14*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16301] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 33*z^2 - (9*z^2)/a^2 - 37*a^2*z^2 + 
   13*a^4*z^2 + 57*z^4 - (12*z^4)/a^2 - 73*a^2*z^4 + 24*a^4*z^4 + 43*z^6 - 
   (6*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 16302] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 16*z^2 - 
   (6*z^2)/a^6 + (29*z^2)/a^4 - (41*z^2)/a^2 + 25*z^4 - (11*z^4)/a^6 + 
   (53*z^4)/a^4 - (77*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (42*z^6)/a^4 - 
   (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 16303] -> 
  8 - 2/a^2 - 8*a^2 + 3*a^4 + 17*z^2 - (2*z^2)/a^4 - 25*a^2*z^2 + 9*a^4*z^2 + 
   9*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 28*a^2*z^4 + 10*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16304] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 11*z^2 - z^2/a^8 + z^2/a^6 + (13*z^2)/a^4 - 
   (27*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 - 
   (30*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 16305] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   25*z^2 + z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   31*z^4 + z^4/a^6 - (8*z^4)/a^4 + (24*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16306] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (27*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + (6*z^4)/a^6 - (22*z^4)/a^4 + 
   (33*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16307] -> -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   8*a^4*z^4 - 15*a^6*z^4 + 8*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16308] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 10*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (24*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 20*z^4 + (4*z^4)/a^6 - 
   (21*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 16*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 16309] -> -3 + 6*a^2 - 2*a^6 - 12*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 + 
   18*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 15*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16310] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (19*z^2)/a^6 - (25*z^2)/a^4 + (15*z^2)/a^2 - 
   6*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16311] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (9*z^4)/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 16312] -> 
  -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (4*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (14*z^4)/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (12*z^6)/a^8 + (4*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 16313] -> -2 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - 7*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^2 + 5*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 + 4*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16314] -> 
  -a^(-8) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (2*z^4)/a^10 - 
   (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 16315] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   3*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 + 
   z^4 - z^4/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 16316] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 30*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (23*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 34*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (26*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16317] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 16318] -> a^(-12) - 2/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 16319] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2 - z^2/a^12 + (5*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16320] -> 
  -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - 7*z^2 + 21*a^2*z^2 - 8*a^4*z^2 - 
   12*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 16*a^4*z^4 - 17*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 12*a^2*z^6 - 14*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16321] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 6*z^2 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 16*a^4*z^4 - a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 9*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 16322] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 
   6/a^2 - 7*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 + (17*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (16*z^4)/a^6 + (3*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16323] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 27*z^4 + z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16324] -> 
  -2 + 8*a^2 - 6*a^4 + a^8 + z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 14*a^4*z^2 - 
   a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 6*a^2*z^4 - 14*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16325] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 6*z^2 - z^2/a^4 - 2*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 
   6*a^4*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 16326] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   3*z^2 + z^2/a^10 + z^2/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 16327] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 16328] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   10*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - (11*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (4*z^4)/a^6 + (18*z^4)/a^4 - (13*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 16329] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - 
   (10*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 16330] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   21*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   28*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16331] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   22*z^2 + z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 
   30*z^4 + z^4/a^6 - (8*z^4)/a^4 + (24*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16332] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 9*a^2*z^2 + 7*a^4*z^2 - 13*a^6*z^2 + 
   6*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 2*a^4*z^4 - 20*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16333] -> -2 + 5*a^2 - a^4 - a^6 - z^2 - z^2/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16334] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 8*z^2 + 
   z^2/a^2 + 6*a^2*z^2 + 18*a^4*z^2 - 10*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 + 24*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16335] -> 
  -3 + 6*a^2 - 2*a^6 - 7*z^2 + 14*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 14*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16336] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (19*z^4)/a^6 + (24*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16337] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 - 24*z^4 - z^4/a^4 + (10*z^4)/a^2 + 26*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16338] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 21*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 28*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (22*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16339] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 
   2*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (15*z^2)/a^4 - z^2/a^2 - 5*z^4 + 
   (2*z^4)/a^8 - (15*z^4)/a^6 + (21*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (20*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16340] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   13*z^2 - z^2/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   18*z^4 - z^4/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   12*z^6 + (2*z^6)/a^4 + z^6/a^2 - a^2*z^6 + a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 16341] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   16*z^2 - (3*z^2)/a^4 + z^2/a^2 - 14*a^2*z^2 + 4*a^4*z^2 + 13*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 18*a^2*z^4 + 6*a^4*z^4 + z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16342] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - 
   (20*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16343] -> 3/a^12 - 10/a^10 + 8/a^8 + (6*z^2)/a^12 - 
   (31*z^2)/a^10 + (36*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (33*z^4)/a^10 + (52*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (16*z^6)/a^10 + (36*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (13*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 16344] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 16345] -> 
  -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 - 
   (4*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (14*z^4)/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (12*z^6)/a^8 + (4*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 16346] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (27*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16347] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   (5*z^2)/a^8 + (11*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (17*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16348] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16349] -> -3 - a^(-4) + 3/a^2 + 5*a^2 - 5*a^4 + 
   2*a^6 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 27*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16350] -> 
  6 - 2/a^6 + 9/a^4 - 12/a^2 + 19*z^2 - (9*z^2)/a^6 + (39*z^2)/a^4 - 
   (52*z^2)/a^2 + 26*z^4 - (12*z^4)/a^6 + (59*z^4)/a^4 - (83*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (70*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 16351] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 
   4*a^2 - 21*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 
   25*z^4 - (4*z^4)/a^6 + (17*z^4)/a^4 - (7*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 16352] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 4*z^2 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 16353] -> 
  7 - 2/a^6 + 10/a^4 - 14/a^2 + 12*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (16*z^2)/a^4 - (32*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (7*z^4)/a^4 - (31*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 16354] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 
   4*a^2 - 10*z^2 - z^2/a^8 + (8*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 16355] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 16356] -> 
  -a^(-8) + 2/a^4 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 + (5*z^4)/a^6 - z^4/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16357] -> -3 - 2/a^4 + 5/a^2 + a^2 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 21*z^4 + (3*z^4)/a^4 - 
   (18*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 25*z^6 + z^6/a^4 - (14*z^6)/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + 12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 16358] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (3*z^8)/a^6 + (9*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16359] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 57*z^2 + 
   (9*z^2)/a^4 - (41*z^2)/a^2 - 21*a^2*z^2 + 91*z^4 + (12*z^4)/a^4 - 
   (62*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + (6*z^6)/a^4 - (44*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16360] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 29*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (13*z^2)/a^2 - 12*a^2*z^2 + 32*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16361] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16362] -> -1 - a^(-6) + 2/a^4 + a^2 + 3*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + a^2*z^4 - 3*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16363] -> -1 + a^2 + 8*a^4 - 11*a^6 + 4*a^8 - 4*z^2 + 
   5*a^2*z^2 + 19*a^4*z^2 - 29*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 
   11*a^4*z^4 - 30*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 2*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16364] -> 
  -1 + 3*a^2 + 3*a^4 - 7*a^6 + 3*a^8 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 
   12*a^6*z^2 + 5*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 5*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16365] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 57*z^2 + (9*z^2)/a^4 - (41*z^2)/a^2 - 
   21*a^2*z^2 + 91*z^4 + (12*z^4)/a^4 - (62*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + 
   (6*z^6)/a^4 - (44*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16366] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 29*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (13*z^2)/a^2 - 12*a^2*z^2 + 32*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 16367] -> 
  -2 - a^(-10) + 2/a^8 - a^(-4) + a^(-2) + 2*a^2 - 5*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 3*a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + 
   z^6/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 16368] -> 
  -2 + a^(-10) - 4/a^8 + 3/a^6 - a^(-4) + 4/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16369] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (17*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16370] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 10*z^2 + z^2/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 8*a^4*z^4 - a^6*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16371] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16372] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 16373] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 
   16*a^2*z^2 + 7*a^4*z^2 - 3*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 - 21*a^2*z^4 + 
   9*a^4*z^4 - 8*z^6 - z^6/a^4 + (10*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16374] -> 3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 15*a^4*z^4 - 
   6*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16375] -> -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 16376] -> 3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 - z^2 - 
   z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - 6*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16377] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   z^2/a^2 + 7*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16378] -> 
  2 - a^(-2) + a^4 - a^6 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16379] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (20*z^2)/a^6 - (23*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (32*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16380] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16381] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (17*z^2)/a^4 + 
   (6*z^2)/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 + (31*z^4)/a^6 - (26*z^4)/a^4 + 
   (7*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16382] -> -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (27*z^2)/a^8 - (27*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^10 + (34*z^4)/a^8 - (48*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^10 + (17*z^6)/a^8 - (38*z^6)/a^6 - (14*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^8 - (14*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 16383] -> 2 - 2/a^10 + 6/a^8 - 4/a^6 - 
   a^(-4) + 5*z^2 - (3*z^2)/a^10 + (17*z^2)/a^8 - (14*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 + 4*z^4 - z^4/a^10 + (13*z^4)/a^8 - 
   (18*z^4)/a^6 - (13*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (10*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16384] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (20*z^4)/a^6 - 
   (23*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 16385] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - (22*z^2)/a^10 + (8*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^14 + (26*z^4)/a^12 - (36*z^4)/a^10 + (3*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (31*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 16386] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (5*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (6*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16387] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16388] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (14*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (13*z^4)/a^10 - z^4/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 16389] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 16390] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   11*a^2*z^2 - a^4*z^2 - 25*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 - 16*z^6 - z^6/a^4 + (11*z^6)/a^2 - 7*a^2*z^6 + 4*a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16391] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + 
   (13*z^2)/a^8 - (50*z^2)/a^6 + (61*z^2)/a^4 - (20*z^2)/a^2 + (16*z^4)/a^8 - 
   (78*z^4)/a^6 + (103*z^4)/a^4 - (33*z^4)/a^2 + (7*z^6)/a^8 - (54*z^6)/a^6 + 
   (88*z^6)/a^4 - (24*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (41*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 16392] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 4*z^2 + 
   (7*z^2)/a^8 - (24*z^2)/a^6 + (23*z^2)/a^4 + z^2/a^2 - 8*z^4 + 
   (5*z^4)/a^8 - (26*z^4)/a^6 + (23*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16393] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   27*z^4 - z^4/a^4 + (12*z^4)/a^2 + 27*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16394] -> 
  -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 9*z^2 + (7*z^2)/a^8 - (21*z^2)/a^6 + 
   (10*z^2)/a^4 + (16*z^2)/a^2 - 12*z^4 + (5*z^4)/a^8 - (25*z^4)/a^6 + 
   (14*z^4)/a^4 + (25*z^4)/a^2 - 6*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16395] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^8 - (7*z^4)/a^6 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16396] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16397] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 - (17*z^2)/a^6 + (28*z^2)/a^4 - (9*z^2)/a^2 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 - (8*z^4)/a^6 + (32*z^4)/a^4 - (12*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (5*z^6)/a^6 + (20*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 16398] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 16399] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 16400] -> 
  -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 4*z^2 + (2*z^2)/a^10 - z^2/a^8 - 
   (10*z^2)/a^6 + (9*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (6*z^4)/a^6 + (11*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 16401] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 16402] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 37*z^2 + (9*z^2)/a^4 - (33*z^2)/a^2 - 
   13*a^2*z^2 + 73*z^4 + (12*z^4)/a^4 - (57*z^4)/a^2 - 24*a^2*z^4 + 68*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16403] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 24*z^2 + 
   (2*z^2)/a^6 - (18*z^2)/a^2 - 9*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (9*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 16404] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16405] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 21*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (25*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 30*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (28*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16406] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (25*z^2)/a^4 + 
   (16*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (23*z^4)/a^6 - 
   (32*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 16407] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   11*z^2 - z^2/a^8 + (7*z^2)/a^6 - (21*z^2)/a^4 + (28*z^2)/a^2 + a^2*z^2 - 
   14*z^4 - z^4/a^8 + (8*z^4)/a^6 - (25*z^4)/a^4 + (34*z^4)/a^2 + 2*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16408] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 33*z^2 - (9*z^2)/a^2 - 37*a^2*z^2 + 
   13*a^4*z^2 + 57*z^4 - (12*z^4)/a^2 - 73*a^2*z^4 + 24*a^4*z^4 + 43*z^6 - 
   (6*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 16409] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 16*z^2 - 
   (6*z^2)/a^6 + (29*z^2)/a^4 - (41*z^2)/a^2 + 25*z^4 - (11*z^4)/a^6 + 
   (53*z^4)/a^4 - (77*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (42*z^6)/a^4 - 
   (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 16410] -> 
  8 - 2/a^2 - 8*a^2 + 3*a^4 + 17*z^2 - (2*z^2)/a^4 - 25*a^2*z^2 + 9*a^4*z^2 + 
   9*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 28*a^2*z^4 + 10*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16411] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 11*z^2 - z^2/a^8 + z^2/a^6 + (13*z^2)/a^4 - 
   (27*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 - 
   (30*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 16412] -> 6 - 2/a^2 - 4*a^2 + a^4 + 
   22*z^2 - (4*z^2)/a^2 - 29*a^2*z^2 + 12*a^4*z^2 + 38*z^4 - (5*z^4)/a^2 - 
   65*a^2*z^4 + 24*a^4*z^4 + 32*z^6 - (4*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16413] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   13*a^2*z^2 + 7*a^4*z^2 - 3*z^4 - z^4/a^4 + (8*z^4)/a^2 - 22*a^2*z^4 + 
   10*a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16414] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (15*z^2)/a^8 - (11*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (23*z^4)/a^8 - (29*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 16415] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - 5*z^2 + z^2/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   4*z^4 + z^4/a^4 - z^4/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 16416] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   31*z^2 + z^2/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 
   37*z^4 + z^4/a^6 - (7*z^4)/a^4 + (22*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 
   21*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16417] -> 
  2/a^10 - 7/a^8 + 6/a^6 - z^2/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 - 
   (19*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 + 
   (3*z^4)/a^10 - (23*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (3*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16418] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 6*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16419] -> -2*a^4 + 4*a^6 + 5*a^8 - 8*a^10 + 2*a^12 - 
   a^2*z^2 - 6*a^4*z^2 + 15*a^6*z^2 + 19*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 20*a^6*z^4 + 24*a^8*z^4 - 16*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 16420] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 
   4*z^4 + 17*a^2*z^4 - 11*a^4*z^4 - 7*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   10*a^2*z^6 - 10*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16421] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 + (2*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - (17*z^4)/a^6 + 
   (12*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16422] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 10*z^2 + z^2/a^2 + 24*a^2*z^2 - 
   19*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 
   24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16423] -> -2*a^4 + 6*a^6 - 4*a^10 + a^12 - 3*a^2*z^2 + 
   a^4*z^2 + 15*a^6*z^2 + 2*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 5*a^4*z^4 + 14*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 16424] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 10*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16425] -> 
  -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 16426] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16427] -> -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 12*z^2 + 
   (4*z^2)/a^2 + 2*a^2*z^2 + 21*a^4*z^2 - 10*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   7*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 10*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16428] -> 
  12 + 3/a^4 - 10/a^2 - 4*a^2 + 48*z^2 + (12*z^2)/a^4 - (43*z^2)/a^2 - 
   16*a^2*z^2 + 79*z^4 + (13*z^4)/a^4 - (63*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + 
   (6*z^6)/a^4 - (44*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16429] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   4*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + 3*z^4 + 
   (4*z^4)/a^4 - (16*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 8*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 16430] -> 
  -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 7*z^2 + z^2/a^4 + 4*a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16431] -> 
  13 + 4/a^4 - 12/a^2 - 4*a^2 + 29*z^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (21*z^2)/a^2 - 10*a^2*z^2 + 29*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (10*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16432] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16433] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 12*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16434] -> -a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 13*a^2*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16435] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 - 3*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 - 21*a^2*z^4 + 9*a^4*z^4 - 8*z^6 - z^6/a^4 + (10*z^6)/a^2 - 
   15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16436] -> 
  3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16437] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16438] -> 3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 - z^2 - 
   z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - 6*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16439] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   z^2/a^2 + 7*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16440] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 16441] -> 
  2 - a^(-2) + a^2 - a^4 + 19*z^2 - (4*z^2)/a^2 - 23*a^2*z^2 + 10*a^4*z^2 + 
   39*z^4 - (6*z^4)/a^2 - 62*a^2*z^4 + 23*a^4*z^4 + 33*z^6 - (4*z^6)/a^2 - 
   65*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16442] -> 
  -1 + a^2 + 8*a^4 - 11*a^6 + 4*a^8 - 4*z^2 + 5*a^2*z^2 + 19*a^4*z^2 - 
   29*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 11*a^4*z^4 - 30*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 2*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16443] -> -1 + 3*a^2 + 3*a^4 - 7*a^6 + 3*a^8 - 2*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 12*a^6*z^2 + 5*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16444] -> -2 + 5*a^2 + 3*a^4 - 9*a^6 + 4*a^8 - 7*z^2 + 
   17*a^2*z^2 + 6*a^4*z^2 - 28*a^6*z^2 + 12*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 
   34*a^6*z^4 + 13*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 21*a^6*z^6 + 
   6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 16445] -> -2 + 7*a^2 - 2*a^4 - 5*a^6 + 
   3*a^8 - (2*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16446] -> 6 - 2/a^2 - 4*a^2 + a^4 + 8*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 15*a^2*z^2 + 7*a^4*z^2 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   23*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16447] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (8*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (20*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 16448] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 
   3/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16449] -> -a^(-12) + 4/a^10 - 6/a^8 + 6/a^6 - 6/a^4 + 
   4/a^2 - (2*z^2)/a^12 + (12*z^2)/a^10 - (21*z^2)/a^8 + (21*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (27*z^4)/a^8 + 
   (25*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (16*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 16450] -> 
  2 - a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^4 - 2/a^2 + 3*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (8*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^4 - (7*z^4)/a^2 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16451] -> -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 
   4/a^10 - (3*z^2)/a^18 + (27*z^2)/a^16 - (67*z^2)/a^14 + (39*z^2)/a^12 + 
   (16*z^2)/a^10 - z^4/a^18 + (19*z^4)/a^16 - (79*z^4)/a^14 + (74*z^4)/a^12 + 
   (25*z^4)/a^10 + (4*z^6)/a^16 - (37*z^6)/a^14 + (60*z^6)/a^12 + 
   (19*z^6)/a^10 - (6*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 16452] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 2/a^10 + 2/a^8 - z^2/a^18 + (10*z^2)/a^16 - 
   (24*z^2)/a^14 + (6*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + 
   (4*z^4)/a^16 - (22*z^4)/a^14 + (15*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - (6*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 16453] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 - z^2/a^18 + (12*z^2)/a^16 - 
   (33*z^2)/a^14 + (9*z^2)/a^12 + (25*z^2)/a^10 + (5*z^4)/a^16 - 
   (32*z^4)/a^14 + (25*z^4)/a^12 + (37*z^4)/a^10 + (2*z^4)/a^8 - 
   (9*z^6)/a^14 + (20*z^6)/a^12 + (23*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 16454] -> 
  25 + 4/a^4 - 18/a^2 - 10*a^2 + 92*z^2 + (16*z^2)/a^4 - (69*z^2)/a^2 - 
   33*a^2*z^2 + 134*z^4 + (17*z^4)/a^4 - (92*z^4)/a^2 - 42*a^2*z^4 + 
   101*z^6 + (7*z^6)/a^4 - (57*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16455] -> 5 + 2/a^4 - 7/a^2 + 5*a^2 - 4*a^4 + 14*z^2 + 
   (7*z^2)/a^4 - (24*z^2)/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 18*z^4 + 
   (5*z^4)/a^4 - (26*z^4)/a^2 + 29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (12*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 16456] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 46*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   (21*z^2)/a^2 - 18*a^2*z^2 + 44*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 - 
   (5*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16457] -> 6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 13*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   14*z^4 + z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 
   8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 16458] -> 20 + 3/a^4 - 14/a^2 - 8*a^2 + 
   68*z^2 + (12*z^2)/a^4 - (51*z^2)/a^2 - 24*a^2*z^2 + 97*z^4 + 
   (13*z^4)/a^4 - (68*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - 
   (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16459] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 34*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (16*z^2)/a^2 - 13*a^2*z^2 + 33*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (6*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16460] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 10*z^2 - 
   (2*z^2)/a^6 + (15*z^2)/a^4 - (24*z^2)/a^2 + 18*z^4 - (3*z^4)/a^6 + 
   (26*z^4)/a^4 - (49*z^4)/a^2 + 15*z^6 - (3*z^6)/a^6 + (24*z^6)/a^4 - 
   (51*z^6)/a^2 + 6*z^8 - z^8/a^6 + (11*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 16461] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 15*z^2 - (3*z^2)/a^2 - 18*a^2*z^2 + 7*a^4*z^2 + 
   24*z^4 - (3*z^4)/a^2 - 40*a^2*z^4 + 15*a^4*z^4 + 23*z^6 - (3*z^6)/a^2 - 
   46*a^2*z^6 + 14*a^4*z^6 + 11*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16462] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - 
   (20*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16463] -> -2/a^14 + 7/a^12 - 10/a^10 + 4/a^8 + 2/a^6 - 
   (5*z^2)/a^14 + (24*z^2)/a^12 - (35*z^2)/a^10 + (16*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (30*z^4)/a^12 - (47*z^4)/a^10 + 
   (13*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (34*z^6)/a^10 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 16464] -> 
  3/a^12 - 10/a^10 + 8/a^8 + (6*z^2)/a^12 - (31*z^2)/a^10 + (36*z^2)/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (33*z^4)/a^10 + (52*z^4)/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (36*z^6)/a^8 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 16465] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (11*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + (23*z^4)/a^8 - 
   (29*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16466] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (27*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16467] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 
   3/a^4 + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16468] -> 
  -a^(-18) + 6/a^16 - 11/a^14 + 5/a^12 + 2/a^8 - z^2/a^18 + (12*z^2)/a^16 - 
   (34*z^2)/a^14 + (20*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 + 
   (5*z^4)/a^16 - (30*z^4)/a^14 + (29*z^4)/a^12 + (18*z^4)/a^10 + 
   (9*z^4)/a^8 - (8*z^6)/a^14 + (18*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 16469] -> 
  a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (12*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (23*z^4)/a^10 + 
   (30*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 16470] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (23*z^2)/a^8 + (28*z^2)/a^6 - 
   (15*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (27*z^4)/a^8 + 
   (30*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (17*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 16471] -> 
  1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 2/a^2 + 2*z^2 - z^2/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16472] -> 2/a^10 - 7/a^8 + 6/a^6 - z^2/a^14 + 
   (2*z^2)/a^12 + (6*z^2)/a^10 - (19*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 + (3*z^4)/a^10 - (23*z^4)/a^8 + (11*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 16473] -> 6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 19*z^2 + 
   (7*z^2)/a^6 - (25*z^2)/a^4 + (16*z^2)/a^2 - 12*a^2*z^2 + 26*z^4 + 
   (5*z^4)/a^6 - (29*z^4)/a^4 + (25*z^4)/a^2 - 13*a^2*z^4 + 19*z^6 + 
   z^6/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (7*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 16474] -> 
  2 + a^(-6) - 3/a^4 + a^(-2) + 2*a^2 - 2*a^4 + 9*z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 14*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16475] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (17*z^4)/a^6 + (12*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16476] -> 1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 - 5*a^2*z^2 + 
   5*z^4 + z^4/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 16477] -> 
  3 + a^(-6) - 3/a^4 + a^(-2) - a^4 + 7*z^2 + z^2/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 16478] -> 
  -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 16479] -> 2 + a^(-4) - 2/a^2 + 13*z^2 + 
   (5*z^2)/a^4 - (15*z^2)/a^2 - 4*a^2*z^2 + 36*z^4 + (8*z^4)/a^4 - 
   (33*z^4)/a^2 - 12*a^2*z^4 + 43*z^6 + (5*z^6)/a^4 - (31*z^6)/a^2 - 
   13*a^2*z^6 + 26*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16480] -> 
  2 - 8*a^2 + 13*a^4 - 6*a^6 + 9*z^2 - 38*a^2*z^2 + 53*a^4*z^2 - 19*a^6*z^2 + 
   12*z^4 - 59*a^2*z^4 + 83*a^4*z^4 - 26*a^6*z^4 + 6*z^6 - 43*a^2*z^6 + 
   70*a^4*z^6 - 19*a^6*z^6 + z^8 - 15*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 16481] -> 3 - a^(-2) - a^2 + 15*z^2 - (5*z^2)/a^2 - 
   13*a^2*z^2 + 4*a^4*z^2 + 33*z^4 - (8*z^4)/a^2 - 36*a^2*z^4 + 12*a^4*z^4 + 
   31*z^6 - (5*z^6)/a^2 - 43*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - z^8/a^2 - 
   26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 16482] -> 3 + 2/a^4 - 4/a^2 + 12*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (13*z^2)/a^2 - 4*a^2*z^2 + 17*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (10*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16483] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 - z^2 + 
   (2*z^2)/a^2 - 17*a^2*z^2 + 31*a^4*z^2 - 11*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 - 
   8*a^2*z^4 + 30*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16484] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 12*z^2 - z^2/a^4 - (2*z^2)/a^2 - 13*a^2*z^2 + 
   4*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 17*a^2*z^4 + 6*a^4*z^4 - 
   z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16485] -> 
  6 - 2/a^6 + 9/a^4 - 12/a^2 + 19*z^2 - (9*z^2)/a^6 + (39*z^2)/a^4 - 
   (52*z^2)/a^2 + 26*z^4 - (12*z^4)/a^6 + (59*z^4)/a^4 - (83*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (70*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 16486] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 
   4*a^2 - 21*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 
   25*z^4 - (4*z^4)/a^6 + (17*z^4)/a^4 - (7*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 16487] -> 
  7 - 2/a^6 + 10/a^4 - 14/a^2 + 12*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (16*z^2)/a^4 - (32*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (7*z^4)/a^4 - (31*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 16488] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 
   4*a^2 - 10*z^2 - z^2/a^8 + (8*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 16489] -> -a^(-12) + 2/a^10 + 2/a^8 - 4/a^6 - 2/a^4 + 
   4/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 - (18*z^2)/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (5*z^4)/a^8 - 
   (26*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (15*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 16490] -> 2 - a^(-12) + 2/a^10 + a^(-8) - 
   2/a^6 - a^(-4) + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 - 
   (5*z^2)/a^4 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (11*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 16491] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16492] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 16493] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (11*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16494] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 19*z^2 + 
   (4*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   29*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 - 11*z^6 + z^6/a^2 + 17*a^2*z^6 + 
   8*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16495] -> 
  -a^2 + 2*a^4 - a^6 + 7*a^8 - 8*a^10 + 2*a^12 - 4*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 + 20*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 
   6*a^4*z^4 + 9*a^6*z^4 + 20*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 8*a^6*z^6 + 10*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 16496] -> -3 + a^(-6) - 4/a^4 + 5/a^2 + 
   4*a^2 - 2*a^4 - 15*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 23*z^4 + z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16497] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 6*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 13*a^2*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16498] -> -a^2 + 2*a^4 + a^6 + 2*a^8 - 4*a^10 + a^12 - 
   z^2 - a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 + 3*a^8*z^2 - 6*a^10*z^2 + 
   a^12*z^2 - z^4 + 5*a^4*z^4 + 9*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 16499] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 16500] -> -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 12*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   13*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 10*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16501] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 9*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 16502] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   6*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16503] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + z^2/a^6 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 16504] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 10*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - 
   (11*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - 
   (13*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 16505] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - 
   (10*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 16506] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (18*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + 
   (30*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (25*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 16507] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (5*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - (16*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 16508] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (16*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (20*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 16509] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 21*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   11*a^2*z^2 - a^4*z^2 - 25*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 - 16*z^6 - z^6/a^4 + (11*z^6)/a^2 - 7*a^2*z^6 + 4*a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16510] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16511] -> -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 25*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 30*a^2*z^2 - 20*a^4*z^2 + 
   5*a^6*z^2 - 28*z^4 - z^4/a^4 + (12*z^4)/a^2 + 33*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16512] -> 
  -6 - a^(-4) + 4/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16513] -> -5 - 2/a^4 + 6/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   22*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 28*z^4 - z^4/a^4 + (12*z^4)/a^2 + 25*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16514] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 29*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16515] -> 3 - a^(-2) - a^2 + 15*z^2 - 
   (5*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 33*z^4 - (8*z^4)/a^2 - 36*a^2*z^4 + 
   12*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 43*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 16516] -> 2 + a^(-4) - 2/a^2 + 13*z^2 + 
   (5*z^2)/a^4 - (15*z^2)/a^2 - 4*a^2*z^2 + 36*z^4 + (8*z^4)/a^4 - 
   (33*z^4)/a^2 - 12*a^2*z^4 + 43*z^6 + (5*z^6)/a^4 - (31*z^6)/a^2 - 
   13*a^2*z^6 + 26*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16517] -> 
  2 - 8*a^2 + 13*a^4 - 6*a^6 + 9*z^2 - 38*a^2*z^2 + 53*a^4*z^2 - 19*a^6*z^2 + 
   12*z^4 - 59*a^2*z^4 + 83*a^4*z^4 - 26*a^6*z^4 + 6*z^6 - 43*a^2*z^6 + 
   70*a^4*z^6 - 19*a^6*z^6 + z^8 - 15*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 16518] -> 4 - a^(-2) - 3*a^2 + a^4 + 12*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 10*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 17*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16519] -> 
  3 + 2/a^4 - 4/a^2 + 12*z^2 + z^2/a^6 + (2*z^2)/a^4 - (13*z^2)/a^2 - 
   4*a^2*z^2 + 17*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 - 
   6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16520] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 - z^2 + 
   (2*z^2)/a^2 - 17*a^2*z^2 + 31*a^4*z^2 - 11*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 - 
   8*a^2*z^4 + 30*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16521] -> 
  a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 - 5*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (26*z^2)/a^6 - (34*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (38*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16522] -> 
  a^(-10) - 6/a^8 + 11/a^6 - 9/a^4 + 4/a^2 - z^2/a^12 + (6*z^2)/a^10 - 
   (19*z^2)/a^8 + (34*z^2)/a^6 - (27*z^2)/a^4 + (9*z^2)/a^2 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (36*z^4)/a^6 - (32*z^4)/a^4 + (8*z^4)/a^2 - (6*z^6)/a^8 + 
   (18*z^6)/a^6 - (19*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 16523] -> 
  -2 + 6*a^2 - 3*a^4 + 12*z^2 - (3*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 + 
   37*z^4 - (7*z^4)/a^2 - 53*a^2*z^4 + 20*a^4*z^4 + 35*z^6 - (5*z^6)/a^2 - 
   61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16524] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 + 
   5*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16525] -> -3 + 7*a^2 - 2*a^4 - a^6 - z^2 - 4*a^2*z^2 + 
   20*a^4*z^2 - 10*a^6*z^2 + 6*z^4 - 32*a^2*z^4 + 58*a^4*z^4 - 21*a^6*z^4 + 
   5*z^6 - 34*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 16526] -> 1 - a^(-2) + 2*a^2 - a^6 - z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 21*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16527] -> 3 - a^(-2) - a^2 - z^2/a^4 + (2*z^2)/a^2 + 
   10*z^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 25*z^6 + (2*z^6)/a^4 - (13*z^6)/a^2 - 
   9*a^2*z^6 + 20*z^8 + z^8/a^4 - (9*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16528] -> 
  -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 4*z^2 + 8*a^2*z^2 + 9*a^4*z^2 - 
   18*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 5*a^4*z^4 - 24*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16529] -> -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16530] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 14*z^4 - (5*z^4)/a^6 + 
   (25*z^4)/a^4 - (37*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - 
   (46*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 16531] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 68*z^2 + (12*z^2)/a^4 - (51*z^2)/a^2 - 
   24*a^2*z^2 + 97*z^4 + (13*z^4)/a^4 - (68*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + 
   (6*z^6)/a^4 - (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16532] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 34*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (16*z^2)/a^2 - 13*a^2*z^2 + 33*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 16533] -> 
  -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 12*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 + 
   21*a^4*z^2 - 10*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 + 25*a^4*z^4 - 
   10*a^6*z^4 - 10*z^6 + z^6/a^2 + 9*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16534] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 4*z^2 + 
   8*a^2*z^2 + 9*a^4*z^2 - 18*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 
   5*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16535] -> 
  -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 7*z^2 + z^2/a^4 + 4*a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16536] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16537] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 
   4*a^6*z^2 + z^4 + z^4/a^2 - 10*a^2*z^4 + 18*a^4*z^4 - 6*a^6*z^4 - 4*z^6 + 
   z^6/a^2 - 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16538] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 6/a^6 - 6/a^4 + 4/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (20*z^2)/a^8 + (24*z^2)/a^6 - (21*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (20*z^4)/a^8 + (31*z^4)/a^6 - (29*z^4)/a^4 + (7*z^4)/a^2 - 
   (6*z^6)/a^8 + (18*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 16539] -> 
  2 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 5/a^4 + 3*z^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (21*z^2)/a^8 + (25*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (25*z^4)/a^6 - (12*z^4)/a^4 - 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16540] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - (3*z^2)/a^18 + 
   (27*z^2)/a^16 - (67*z^2)/a^14 + (39*z^2)/a^12 + (16*z^2)/a^10 - z^4/a^18 + 
   (19*z^4)/a^16 - (79*z^4)/a^14 + (74*z^4)/a^12 + (25*z^4)/a^10 + 
   (4*z^6)/a^16 - (37*z^6)/a^14 + (60*z^6)/a^12 + (19*z^6)/a^10 - 
   (6*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 16541] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 16*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - 14*a^2*z^2 + 4*a^4*z^2 + 13*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 18*a^2*z^4 + 6*a^4*z^4 + z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16542] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 2/a^10 + 2/a^8 - z^2/a^18 + (10*z^2)/a^16 - 
   (24*z^2)/a^14 + (6*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + 
   (4*z^4)/a^16 - (22*z^4)/a^14 + (15*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - (6*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 16543] -> 
  1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (17*z^2)/a^8 + (26*z^2)/a^6 - (17*z^2)/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (25*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16544] -> 
  -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 31*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (18*z^2)/a^2 + 23*a^2*z^2 - 5*a^4*z^2 - 37*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (22*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16545] -> -8 + a^(-6) - 5/a^4 + 9/a^2 + 
   6*a^2 - 2*a^4 - 26*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 29*z^4 + z^4/a^6 - (13*z^4)/a^4 + (32*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16546] -> -1 + 3*a^2 - a^6 - 4*z^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 11*a^4*z^4 - 
   7*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 9*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 16547] -> -7 + a^(-6) - 5/a^4 + 9/a^2 + 
   4*a^2 - a^4 - 10*z^2 + z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 16548] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 10*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16549] -> 
  -9 - 2/a^4 + 7/a^2 + 8*a^2 - 4*a^4 + a^6 - 28*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 27*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 30*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16550] -> 
  -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 31*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (24*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 34*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16551] -> 12 + 3/a^4 - 10/a^2 - 4*a^2 + 
   48*z^2 + (12*z^2)/a^4 - (43*z^2)/a^2 - 16*a^2*z^2 + 79*z^4 + 
   (13*z^4)/a^4 - (63*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - 
   (44*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16552] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   16*a^2*z^2 - 7*a^4*z^2 + 3*z^4 + (4*z^4)/a^4 - (16*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + 8*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 16553] -> 13 + 4/a^4 - 12/a^2 - 4*a^2 + 29*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (21*z^2)/a^2 - 10*a^2*z^2 + 29*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - (10*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 16554] -> 
  -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 + 2*z^2 + z^2/a^6 + z^2/a^4 - 
   (9*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 16555] -> 
  -2 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (11*z^4)/a^4 + 4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16556] -> 1 + a^(-10) - 5/a^8 + 9/a^6 - 7/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (17*z^2)/a^8 + (26*z^2)/a^6 - 
   (17*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (25*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16557] -> -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 
   2*a^4 - 26*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 29*z^4 + z^4/a^6 - (13*z^4)/a^4 + (32*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16558] -> 
  -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 10*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 16559] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + a^2 - 2*a^4 + a^6 + 5*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16560] -> -a^(-12) + 6/a^10 - 12/a^8 + 9/a^6 - 2/a^4 + 
   a^(-2) - z^2/a^12 + (10*z^2)/a^10 - (30*z^2)/a^8 + (35*z^2)/a^6 - 
   (16*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (23*z^4)/a^8 + (40*z^4)/a^6 - 
   (25*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (20*z^6)/a^6 - (17*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16561] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 + 
   z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 16562] -> -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - 
   a^(-4) + z^2/a^14 - (7*z^2)/a^12 + (21*z^2)/a^10 - (35*z^2)/a^8 + 
   (28*z^2)/a^6 - (4*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (37*z^4)/a^8 + 
   (31*z^4)/a^6 - (6*z^4)/a^4 + (6*z^6)/a^10 - (19*z^6)/a^8 + (18*z^6)/a^6 - 
   (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 16563] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 37*z^2 + 
   (9*z^2)/a^4 - (33*z^2)/a^2 - 13*a^2*z^2 + 73*z^4 + (12*z^4)/a^4 - 
   (57*z^4)/a^2 - 24*a^2*z^4 + 68*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16564] -> 
  8 + 3/a^4 - 8/a^2 - 2*a^2 + 24*z^2 + (2*z^2)/a^6 - (18*z^2)/a^2 - 
   9*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16565] -> -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + z^2/a^2 + 
   10*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 
   16*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16566] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16567] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 19*z^2 + (4*z^2)/a^2 + 26*a^2*z^2 - 
   6*a^4*z^2 - 2*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 - 11*z^6 + z^6/a^2 + 17*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16568] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 6*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 13*a^2*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16569] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 3*a^2 - 
   2*a^4 + a^6 - 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 16570] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 
   4*a^2 - a^4 - 10*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 6*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 16571] -> 2 + a^(-4) - 2/a^2 + 6*z^2 + (4*z^2)/a^4 - 
   (12*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + (4*z^4)/a^4 - 
   (17*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 16572] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 + 
   10*a^4*z^2 - 7*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 + 19*a^4*z^4 - 
   9*a^6*z^4 - 10*z^6 + z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16573] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + z^2/a^6 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 16574] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + z^2/a^4 - z^2/a^2 + 
   7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16575] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 6*z^2 - z^2/a^2 - 10*a^2*z^2 + 
   13*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 19*a^4*z^4 - 
   7*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16576] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 14*z^4 - (7*z^4)/a^6 + (29*z^4)/a^4 - 
   (37*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - (47*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 16577] -> 
  25 + 4/a^4 - 18/a^2 - 10*a^2 + 92*z^2 + (16*z^2)/a^4 - (69*z^2)/a^2 - 
   33*a^2*z^2 + 134*z^4 + (17*z^4)/a^4 - (92*z^4)/a^2 - 42*a^2*z^4 + 
   101*z^6 + (7*z^6)/a^4 - (57*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16578] -> 5 + 2/a^4 - 7/a^2 + 5*a^2 - 4*a^4 + 14*z^2 + 
   (7*z^2)/a^4 - (24*z^2)/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 18*z^4 + 
   (5*z^4)/a^4 - (26*z^4)/a^2 + 29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (12*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 16579] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 46*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   (21*z^2)/a^2 - 18*a^2*z^2 + 44*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 - 
   (5*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16580] -> 6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 13*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   14*z^4 + z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 
   8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 16581] -> -9 - 2/a^4 + 7/a^2 + 8*a^2 - 
   4*a^4 + a^6 - 28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 27*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 31*a^2*z^4 - 
   20*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16582] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   31*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (24*z^2)/a^2 + 23*a^2*z^2 - 
   6*a^4*z^2 - 34*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16583] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16584] -> 
  6 - 2/a^2 - 4*a^2 + a^4 - (2*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 
   4*a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16585] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16586] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16587] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 16588] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 7*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16589] -> 7 - 3/a^2 - 3*a^2 + 7*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16590] -> 1 - a^(-2) + 2*a^2 - a^6 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16591] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16592] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   4*z^2 - z^2/a^6 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 16593] -> a^(-8) - 5/a^6 + 6/a^4 - 
   a^(-2) - z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - 2*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 16594] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16595] -> -3 + 7*a^2 - 2*a^4 - a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16596] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 
   7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16597] -> 1 - a^(-2) + 2*a^2 - a^6 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 4*a^4*z^2 - 2*a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16598] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16599] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 
   3*z^2 + (2*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16600] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2/a^8 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - z^6/a^10 + (6*z^6)/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 16601] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (6*z^4)/a^4 - (9*z^4)/a^2 + 4*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 - 
   (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 16602] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - 
   a^6 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16603] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16604] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 
   2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 
   4*z^4 + z^4/a^4 - (5*z^4)/a^2 + 7*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16605] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 16606] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - 
   2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   5*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 16607] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 16608] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 2*z^2 - (2*z^2)/a^2 - a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 16609] -> 
  2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + a^14 + 9*a^6*z^2 - 9*a^8*z^2 + 
   17*a^10*z^2 - 4*a^12*z^2 - 3*a^14*z^2 + 12*a^6*z^4 - 14*a^8*z^4 + 
   15*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 13*a^8*z^6 + 
   9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 16610] -> 
  a^4 - a^6 + 4*a^8 - 4*a^10 + 2*a^12 - a^14 + 4*a^4*z^2 - 4*a^6*z^2 + 
   12*a^8*z^2 - 6*a^10*z^2 + 6*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 
   5*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 16611] -> 2*a^6 - a^12 + 2*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - 
   a^8*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 16612] -> a^4 + 2*a^8 - 3*a^10 + 2*a^12 - a^14 + 
   a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 16613] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 16614] -> 1 - a^2 + 2*a^4 - a^6 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 15*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16615] -> -2 + 2/a^2 + a^2 - 5*a^4 + 
   9*a^6 - 4*a^8 - 9*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 - 20*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 11*a^2*z^4 - 27*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16616] -> 2 + a^(-4) - a^(-2) - 4*a^2 + 2*a^4 + 
   3*a^6 - 2*a^8 + 5*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 10*a^2*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16617] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16618] -> -4 + 2/a^2 + 7*a^2 - 8*a^4 + 5*a^6 - 
   a^8 - 14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 25*a^4*z^2 + 15*a^6*z^2 - 
   4*a^8*z^2 - 12*z^4 + z^4/a^2 + 27*a^2*z^4 - 29*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16619] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 3*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   6*z^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 16620] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 21*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   27*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 25*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   31*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16621] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16622] -> 2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + a^14 + 
   a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 18*a^10*z^2 - 6*a^12*z^2 - 2*a^14*z^2 + 
   3*a^4*z^4 + 6*a^6*z^4 - 12*a^8*z^4 + 17*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 11*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 16623] -> 
  2*a^6 - a^12 + 3*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + 5*a^10*z^2 - 2*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 16624] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   (4*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16625] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 - 
   2*z^2 - z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16626] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 10*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16627] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 
   2*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   5*a^2*z^4 - 11*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 16628] -> 
  1 + a^(-2) - 3*a^2 - 2*a^4 + 8*a^6 - 4*a^8 - 2*z^2 + (4*z^2)/a^2 - 
   4*a^2*z^2 - 13*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 24*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16629] -> -2 + 2/a^2 - a^2 + a^4 + 3*a^6 - 
   2*a^8 - 6*z^2 + z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16630] -> -3/a^14 + 7/a^12 - 3/a^10 - 6/a^8 + 6/a^6 - 
   (7*z^2)/a^14 + (26*z^2)/a^12 - (19*z^2)/a^10 - (11*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^4)/a^14 + (35*z^4)/a^12 - (39*z^4)/a^10 - 
   (12*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (35*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 16631] -> 
  -2/a^14 + 4/a^12 - a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (5*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 16632] -> -a^(-14) + a^(-12) + a^(-10) - 4/a^6 + 
   4/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - z^2/a^10 - (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 16633] -> -a^(-14) + 2/a^12 - 2/a^10 + 
   2/a^8 - a^(-6) - a^(-4) + 2/a^2 - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - 
   (5*z^4)/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 16634] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 14*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16635] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16636] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16637] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - z^4 + 
   5*a^2*z^4 - 18*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 16638] -> 
  -3 + a^(-2) + 5*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 12*z^2 + (4*z^2)/a^2 + 
   20*a^2*z^2 - 23*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   25*a^2*z^4 - 30*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16639] -> -2 + a^(-2) + 2*a^2 - a^6 + 
   3*a^8 - 2*a^10 - 6*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 7*z^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 
   2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16640] -> -3 + a^(-2) + 4*a^2 - 2*a^4 + 3*a^6 - 
   2*a^8 - 3*z^2 + z^2/a^4 + 5*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16641] -> -2 + a^(-2) + 2*a^2 + a^8 - a^10 - 2*z^2 + 
   z^2/a^4 + 2*a^2*z^2 - a^4*z^2 + 3*a^8*z^2 - 2*z^4 - (2*z^4)/a^2 - 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 16642] -> -5 - 2/a^8 + 5/a^6 - 6/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (22*z^2)/a^4 + (22*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 - z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16643] -> 2 - a^(-8) + 2/a^6 - a^(-4) - 2*a^2 + a^4 + 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 16644] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (26*z^2)/a^4 + (20*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (31*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + 
   (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16645] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 16646] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16647] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 16648] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (14*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16649] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16650] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   11*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16651] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16652] -> 2 + a^(-4) - 2/a^2 - 6*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16653] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16654] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   8*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 16655] -> -2 + 2/a^2 + a^2 - 5*a^4 + 9*a^6 - 4*a^8 - 
   9*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 - 20*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 
   14*z^4 + (4*z^4)/a^2 + 11*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 10*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16656] -> 
  -3 + a^(-2) + 5*a^2 - 6*a^4 + 8*a^6 - 4*a^8 - 10*z^2 + (3*z^2)/a^2 + 
   19*a^2*z^2 - 24*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   23*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 16657] -> -3 + a^(-2) + 4*a^2 - 2*a^4 + 
   3*a^6 - 2*a^8 - z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 16658] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16659] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16660] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16661] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 8*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (14*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16662] -> -1 + a^(-2) + a^2 + a^6 - 2*a^8 + 
   a^10 - z^2 + a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 16663] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 - z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16664] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16665] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 6*z^2 + z^2/a^4 + 10*a^2*z^2 - 
   4*a^4*z^2 - 16*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16666] -> 
  2 + a^(-4) - 2/a^2 + z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16667] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 16668] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 18*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16669] -> a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16670] -> -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 
   13*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + 
   (9*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 16671] -> 
  1 - a^(-4) + a^(-2) - a^2 + 3*a^4 - 2*a^6 + 7*z^2 - z^2/a^4 - z^2/a^2 - 
   4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 6*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 16672] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   23*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 16673] -> 
  1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 16674] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 5*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 16675] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 - 7*z^2 + z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 16676] -> 
  2*a^2 - a^4 - z^2/a^4 + 5*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16677] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 5*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16678] -> 3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 
   6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16679] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 
   4*z^2 + 19*a^2*z^2 - 26*a^4*z^2 + 10*a^6*z^2 + a^8*z^2 - 8*z^4 + 
   24*a^2*z^4 - 23*a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 16*a^2*z^6 - 
   4*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16680] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16681] -> 7*a^6 - 10*a^8 + 5*a^10 - a^12 - 4*a^4*z^2 + 
   25*a^6*z^2 - 24*a^8*z^2 + 6*a^10*z^2 + a^12*z^2 - 8*a^4*z^4 + 29*a^6*z^4 - 
   19*a^8*z^4 - 4*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 17*a^6*z^6 - 
   3*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 16682] -> 
  -2 + a^(-4) + 2*a^2 - 13*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16683] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16684] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + 
   8*a^2*z^2 - 11*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 
   7*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 3*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 16685] -> -a^(-4) + 2/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16686] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 12*a^6*z^2 - 8*a^8*z^2 - 3*a^10*z^2 + 
   3*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 11*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 16687] -> -1 + a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16688] -> -1 + a^(-2) + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 16689] -> 
  2*a^2 - a^4 - 2*z^2 + 7*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16690] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 12*a^2*z^2 - 
   14*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 7*z^4 + 17*a^2*z^4 - 12*a^4*z^4 - 
   11*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16691] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 5*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16692] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16693] -> 
  5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 18*a^6*z^2 - 11*a^8*z^2 - 4*a^10*z^2 + 
   4*a^12*z^2 - 7*a^4*z^4 + 22*a^6*z^4 - 8*a^8*z^4 - 12*a^10*z^4 + 
   4*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 16694] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^4*z^2 + 
   9*a^6*z^2 - 9*a^8*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 8*a^6*z^4 - 
   7*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 16695] -> -2 + a^(-4) + 2*a^2 - 10*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16696] -> -a^(-4) + 2/a^2 - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16697] -> 
  1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 - 7*z^2 + 11*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16698] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 13*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 17*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 16699] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 15*z^2 + (7*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16700] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 16701] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 16702] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16703] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16704] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 3*z^2 + 
   15*a^2*z^2 - 21*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 
   20*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 13*a^2*z^6 - 5*a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 16705] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   5*z^2 + z^2/a^2 + 12*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16706] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16707] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 16708] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 19*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   24*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16709] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16710] -> 2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 16711] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^4 + z^2/a^2 + a^4*z^2 - 
   3*z^4 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 16712] -> 
  1 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + (4*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16713] -> 3 + a^(-2) - 7*a^2 + 4*a^4 + 23*z^2 - 
   (4*z^2)/a^2 - 40*a^2*z^2 + 16*a^4*z^2 + 53*z^4 - (16*z^4)/a^2 - 
   66*a^2*z^4 + 17*a^4*z^4 + 57*z^6 - (17*z^6)/a^2 - 48*a^2*z^6 + 7*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 16714] -> 
  4 + a^(-4) - a^(-2) - 7*a^2 + 4*a^4 + 7*z^2 - z^2/a^2 - 20*a^2*z^2 + 
   8*a^4*z^2 + 9*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - 22*a^2*z^4 + 5*a^4*z^4 + 
   9*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16715] -> -1 + 2/a^2 - 2*a^4 + 2*a^6 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 + 12*z^4 - (7*z^4)/a^2 + 
   a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 16716] -> a^(-4) - 2*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 - 
   3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16717] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16718] -> -1 + a^(-2) + a^2 - 11*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16719] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - a^2*z^2 + 14*a^4*z^2 - 21*a^6*z^2 + 9*a^8*z^2 - 
   9*a^2*z^4 + 32*a^4*z^4 - 42*a^6*z^4 + 12*a^8*z^4 - 12*a^2*z^6 + 
   39*a^4*z^6 - 36*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 
   14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 16720] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   a^2*z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 2*z^4 + a^2*z^4 + 
   5*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 16721] -> 4*a^6 - 3*a^8 - a^4*z^2 + 
   14*a^6*z^2 - 6*a^8*z^2 - 4*a^10*z^2 + 3*a^12*z^2 - 4*a^4*z^4 + 
   15*a^6*z^4 - 3*a^8*z^4 - 11*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   10*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 16722] -> a^4 + 2*a^6 - 2*a^8 + 3*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 16723] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16724] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 - 6*a^10*z^2 + 4*a^12*z^2 - 2*a^4*z^4 + 8*a^6*z^4 + 
   a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 16725] -> 
  -1 + a^(-4) + a^4 - 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 
   5*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16726] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 16727] -> 
  2*a^4 - a^8 + 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 4*a^10*z^2 + 3*a^12*z^2 - 
   3*a^4*z^4 + 10*a^6*z^4 - 2*a^8*z^4 - 11*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 16728] -> a^2 + a^6 - a^8 + a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 16729] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16730] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 - 
   a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 7*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16731] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 21*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16732] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 16733] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16734] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 3*z^2 + 
   6*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 
   16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16735] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 + 
   (2*z^2)/a^4 + 2*a^2*z^2 - 8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16736] -> 2*a^2 - 2*a^6 + a^8 + a^2*z^2 + 4*a^4*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 - z^4 + 6*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + 5*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16737] -> a^2 + 2*a^6 - 3*a^8 + a^10 + a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 16738] -> 1 - a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   6*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 
   11*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 16739] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   z^2 + z^2/a^4 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 16740] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 
   13*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16741] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 3*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 16742] -> 1 + a^6 - 2*a^8 + a^10 + z^2 - 6*a^4*z^2 + 
   10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - z^4 + 3*a^2*z^4 - 12*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 16743] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 
   5*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 16744] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16745] -> 2*a^2 - a^4 - 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16746] -> a^2 + a^6 - a^8 - z^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 
   10*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 16747] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 - z^2 - z^2/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^2 + 17*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16748] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   16*z^4 - (2*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16749] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 16750] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16751] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16752] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16753] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   17*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   16*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 16754] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16755] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 
   3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 16756] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 16757] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 
   10*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 23*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 16758] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 16759] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 
   15*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 16760] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 
   7*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   z^4/a^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16761] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 10*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 16762] -> 2 - a^(-2) + a^6 - a^8 + 4*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 5*a^2*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 16763] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 + z^2/a^6 - (14*z^2)/a^4 + 
   (14*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (2*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 16764] -> a^(-12) - 6/a^8 + 6/a^6 + 
   (3*z^2)/a^12 - (4*z^2)/a^10 - (13*z^2)/a^8 + (21*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (10*z^4)/a^10 - (7*z^4)/a^8 + (25*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 16765] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 16766] -> 3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + z^2/a^12 + 
   (2*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16767] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (4*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 16768] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16769] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16770] -> 2/a^10 - 4/a^8 + 3/a^4 - z^2 + z^2/a^12 - 
   (6*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 16771] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 16772] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (4*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 16773] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 + z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (11*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16774] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (12*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (15*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16775] -> 
  7*a^4 - 10*a^6 + 4*a^8 - 2*z^2 + 4*a^2*z^2 + 12*a^4*z^2 - 25*a^6*z^2 + 
   10*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 4*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16776] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16777] -> -2/a^14 + 9/a^12 - 12/a^10 + 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (19*z^2)/a^12 - (26*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (24*z^4)/a^10 - (8*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 16778] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 5*z^2 + 
   (3*z^2)/a^8 - (21*z^2)/a^6 + (26*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (16*z^4)/a^6 + (26*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (4*z^6)/a^6 + (14*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + 
   (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 16779] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + 
   (6*z^2)/a^12 - z^2/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 16780] -> a^(-10) - 4/a^8 + a^(-6) + 
   5/a^4 - 2/a^2 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + 
   (12*z^2)/a^4 - a^2*z^2 - z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (13*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 16781] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - 
   z^2/a^4 + z^2/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16782] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^8 + 
   (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + 
   (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16783] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16784] -> 
  6 - 3/a^2 - a^2 - a^4 + 13*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 10*z^4 + (6*z^4)/a^4 - (16*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 16785] -> 
  4 - a^(-4) - 2*a^2 + 10*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 8*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 16786] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 25*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (11*z^2)/a^2 - 10*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16787] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 6*z^2 + 
   z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16788] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 + z^2/a^2 - 
   8*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16789] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - 
   z^2/a^4 + z^2/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16790] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (11*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - 
   (14*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16791] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (12*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (15*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16792] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 + z^2/a^2 - 
   8*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16793] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16794] -> -2 + 7*a^2 - 2*a^4 - 5*a^6 + 3*a^8 - 
   5*z^2 + 15*a^2*z^2 - a^4*z^2 - 19*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 2*a^4*z^4 - 26*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16795] -> 
  -3 - 2/a^4 + 6/a^2 - a^2 + a^6 - 16*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - 23*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16796] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16797] -> 
  -2/a^8 + 5/a^6 - 3/a^4 + a^2 - 5*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (16*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (24*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16798] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16799] -> 
  2/a^12 - 8/a^10 + 6/a^8 + 2/a^6 - a^(-4) + (5*z^2)/a^12 - (27*z^2)/a^10 + 
   (30*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (31*z^4)/a^10 + 
   (46*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (34*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 16800] -> a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (5*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (8*z^4)/a^8 + (18*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16801] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (11*z^2)/a^12 - (13*z^2)/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - 
   (7*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 16802] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (12*z^2)/a^10 + (12*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (12*z^4)/a^10 + (17*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16803] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 34*z^2 - 
   (9*z^2)/a^2 - 40*a^2*z^2 + 14*a^4*z^2 + 53*z^4 - (10*z^4)/a^2 - 
   72*a^2*z^4 + 24*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16804] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 19*z^2 - (6*z^2)/a^6 + (32*z^2)/a^4 - 
   (48*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + (52*z^4)/a^4 - (84*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 16805] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   24*z^2 - (6*z^2)/a^2 - 29*a^2*z^2 + 11*a^4*z^2 + 43*z^4 - (7*z^4)/a^2 - 
   64*a^2*z^4 + 23*a^4*z^4 + 34*z^6 - (4*z^6)/a^2 - 65*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 16806] -> 
  1 - 7*a^2 + 14*a^4 - 7*a^6 + 5*z^2 - 37*a^2*z^2 + 66*a^4*z^2 - 27*a^6*z^2 + 
   8*z^4 - 59*a^2*z^4 + 111*a^4*z^4 - 38*a^6*z^4 + 5*z^6 - 43*a^2*z^6 + 
   93*a^4*z^6 - 25*a^6*z^6 + z^8 - 15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 16807] -> -3*a^2 + 9*a^4 - 5*a^6 - 7*z^2 + z^2/a^2 - 
   2*a^2*z^2 + 28*a^4*z^2 - 14*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 
   35*a^4*z^4 - 14*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 + 22*a^4*z^6 - 
   6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16808] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 3*z^2 + 
   7*a^2*z^2 + 8*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 
   3*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16809] -> 
  -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + z^2/a^2 - a^2*z^2 + 18*a^4*z^2 - 9*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16810] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 14*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (25*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 24*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (35*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 16811] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   5*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 16812] -> 2 - a^(-2) + a^2 - a^4 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 16813] -> 
  2 - a^(-8) + 3/a^6 - 4/a^2 + a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (9*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (16*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 16814] -> 2 - a^(-4) + 2/a^2 - 3*a^2 + 
   a^6 - 3*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - 12*z^4 - z^4/a^4 + (9*z^4)/a^2 - 10*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 16815] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (17*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16816] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 - 18*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 16817] -> -a^(-8) + a^(-6) + 2/a^4 - 
   2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16818] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (13*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 16819] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 11*z^2 - (4*z^2)/a^6 + (16*z^2)/a^4 - 
   (13*z^2)/a^2 + 8*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + (18*z^4)/a^4 - 
   (16*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 16820] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + 9*a^2*z^2 + 2*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 - 
   3*z^4 + 12*a^2*z^4 - a^4*z^4 - 21*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   5*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16821] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16822] -> 
  -1 + 7*a^4 - 6*a^6 + a^8 - 3*z^2 + 3*a^2*z^2 + 15*a^4*z^2 - 14*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 10*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 7*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16823] -> 
  -5 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 + 3*a^2 - 20*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (29*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 16824] -> 7 - a^(-4) - a^(-2) - 5*a^2 + a^4 + 
   11*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16825] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (15*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 16826] -> 
  7 - 2/a^6 + 10/a^4 - 14/a^2 + 20*z^2 - (8*z^2)/a^6 + (38*z^2)/a^4 - 
   (54*z^2)/a^2 + 28*z^4 - (10*z^4)/a^6 + (56*z^4)/a^4 - (86*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 16827] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 
   4*a^2 - 17*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 
   22*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 16828] -> 
  -4 + a^(-2) + 4*a^2 + 3*a^4 - 3*a^6 - 11*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 
   17*a^4*z^2 - 9*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 25*a^4*z^4 - 
   10*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16829] -> 2 - 11*a^2 + 19*a^4 - 9*a^6 + 7*z^2 - 
   43*a^2*z^2 + 72*a^4*z^2 - 28*a^6*z^2 + 9*z^4 - 63*a^2*z^4 + 113*a^4*z^4 - 
   38*a^6*z^4 + 5*z^6 - 44*a^2*z^6 + 93*a^4*z^6 - 25*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 16830] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 42*z^2 + (5*z^2)/a^4 - (28*z^2)/a^2 - 
   17*a^2*z^2 + 78*z^4 + (7*z^4)/a^4 - (46*z^4)/a^2 - 27*a^2*z^4 + 71*z^6 + 
   (4*z^6)/a^4 - (35*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16831] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 - 4*z^2 + 
   (5*z^2)/a^8 - (27*z^2)/a^6 + (37*z^2)/a^4 - (6*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (47*z^4)/a^4 + (2*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16832] -> -3 - 4/a^4 + 8/a^2 - 6*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 - (4*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (22*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 16833] -> 
  -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 16834] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 
   53*z^2 + (8*z^2)/a^4 - (38*z^2)/a^2 - 20*a^2*z^2 + 86*z^4 + (10*z^4)/a^4 - 
   (56*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16835] -> 
  -4 + a^(-2) + 2*a^2 + 7*a^4 - 5*a^6 - 13*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 
   27*a^4*z^2 - 14*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 35*a^4*z^4 - 
   14*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16836] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 2*z^2 + 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + (13*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 16837] -> -1 - a^(-6) + 3/a^2 - 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (8*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 16838] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 11*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 16839] -> -1 - a^(-6) + 2/a^4 + a^(-2) - 
   a^2 + a^6 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16840] -> a^(-6) - 4/a^4 + 4/a^2 + a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16841] -> 
  -a^(-10) + 2/a^8 - a^(-4) + a^2 - 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + 
   z^6/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 16842] -> 
  -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16843] -> 3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + 6*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16844] -> 
  3*a^4 - 2*a^6 - 4*z^2 + z^2/a^2 + 12*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16845] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (16*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (22*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + 
   (15*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 16846] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (2*z^4)/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16847] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (18*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   (3*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16848] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^10 + (16*z^2)/a^8 - 
   (17*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (5*z^4)/a^10 + (18*z^4)/a^8 - 
   (16*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 16849] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - (9*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16850] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16851] -> 1 - 2/a^10 + 6/a^8 - 4/a^6 - 2/a^4 + 2/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (17*z^2)/a^8 - (13*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (15*z^4)/a^8 - (20*z^4)/a^6 - 
   (17*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - (13*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16852] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16853] -> 
  2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - 
   (12*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (16*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16854] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - 
   z^2/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 16855] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (10*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 16856] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   2*z^2 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   z^4 + z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 16857] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 
   19*z^2 + (2*z^2)/a^6 - z^2/a^4 - (13*z^2)/a^2 - 7*a^2*z^2 + 22*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (9*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 16858] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 16*a^2*z^2 - 8*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 9*a^4*z^4 - 15*a^6*z^4 + 8*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16859] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 17*a^2*z^4 + 9*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16860] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   21*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 23*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   27*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16861] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   21*z^2 - z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (20*z^2)/a^2 + 6*a^2*z^2 - 
   21*z^4 - z^4/a^8 + (8*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16862] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 14*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 + 
   6*a^4*z^2 - 6*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 + 17*a^4*z^4 - 
   9*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16863] -> 2 - a^(-4) + 3/a^2 - 7*a^2 + 4*a^4 + 2*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 22*a^2*z^2 + 10*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 27*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16864] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 22*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 28*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (22*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16865] -> 8 - a^(-2) - 11*a^2 + 5*a^4 + 
   16*z^2 - z^2/a^4 - 31*a^2*z^2 + 12*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 34*a^2*z^4 + 11*a^4*z^4 - z^6/a^4 + (6*z^6)/a^2 - 
   19*a^2*z^6 + 5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 16866] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16867] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 16868] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   z^4/a^10 + (9*z^4)/a^6 - (14*z^4)/a^4 - z^6/a^10 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16869] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   22*z^2 + z^2/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 
   26*z^4 + z^4/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16870] -> 
  12 + 3/a^4 - 10/a^2 - 4*a^2 + 26*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (21*z^2)/a^2 - 8*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (14*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (7*z^6)/a^4 - z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16871] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   4*z^2 + z^2/a^6 - (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16872] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 11*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 14*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 16873] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 16874] -> -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - 5*z^2 + 
   13*a^2*z^2 + 2*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16875] -> 
  -3*a^2 + 14*a^4 - 15*a^6 + 5*a^8 - 2*z^2 - 3*a^2*z^2 + 30*a^4*z^2 - 
   35*a^6*z^2 + 11*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 21*a^4*z^4 - 34*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16876] -> 4 - 6*a^2 + 3*a^4 + 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 18*a^2*z^2 + 8*a^4*z^2 + z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   22*a^2*z^4 + 8*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 14*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16877] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 
   4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - (26*z^2)/a^4 + 
   (17*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (32*z^4)/a^4 + 
   (25*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16878] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 - (2*z^2)/a^2 + a^2*z^2 + 
   3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16879] -> 
  2 - a^(-2) + a^2 + a^4 - 4*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16880] -> 
  -2 + 6*a^2 - 6*a^6 + 3*a^8 - 3*z^2 - z^2/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 
   12*a^6*z^2 + 5*a^8*z^2 + z^4 - z^4/a^2 + 10*a^2*z^4 - 4*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16881] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16882] -> 2 - a^(-2) + a^6 - a^8 - z^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16883] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - (14*z^4)/a^4 - 
   z^4/a^2 + z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16884] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 16885] -> -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 
   4/a^10 - z^2/a^18 + (16*z^2)/a^16 - (46*z^2)/a^14 + (24*z^2)/a^12 + 
   (17*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (37*z^4)/a^14 + 
   (36*z^4)/a^12 + (27*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (23*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 16886] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 2/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (16*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 16887] -> -a^(-14) + 6/a^12 - 11/a^10 + 5/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (18*z^2)/a^12 - (29*z^2)/a^10 + (13*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (36*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (28*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 16888] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (16*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (13*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16889] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 37*z^2 + (2*z^2)/a^6 + z^2/a^4 - 
   (23*z^2)/a^2 - 13*a^2*z^2 + 37*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (17*z^4)/a^2 - 11*a^2*z^4 + 19*z^6 + z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16890] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 13*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16891] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (25*z^2)/a^10 - (24*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (32*z^4)/a^8 + (27*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^6)/a^10 - (19*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 16892] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 
   2/a^4 - (4*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + (6*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^8 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16893] -> -4 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 + a^2 + 
   a^4 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 16894] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16895] -> -a^(-18) + 6/a^16 - 11/a^14 + 4/a^12 + 
   2/a^10 + a^(-8) - z^2/a^18 + (12*z^2)/a^16 - (35*z^2)/a^14 + 
   (19*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (32*z^4)/a^14 + (31*z^4)/a^12 + (25*z^4)/a^10 + (6*z^4)/a^8 - 
   (9*z^6)/a^14 + (21*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 16896] -> 
  2 - 8*a^2 + 13*a^4 - 6*a^6 - 2*z^2 + (2*z^2)/a^2 - 13*a^2*z^2 + 
   28*a^4*z^2 - 10*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 26*a^4*z^4 - 
   8*a^6*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16897] -> -4 - a^(-4) + 4/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 - 14*z^2 - z^2/a^6 + (7*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 16898] -> a^(-10) - 5/a^8 + 5/a^6 - 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16899] -> 
  2 - a^(-2) + a^6 - a^8 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 16900] -> 
  1 - a^(-12) + 2/a^10 + a^(-8) - 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 + (2*z^2)/a^8 - (10*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (14*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 16901] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 - 
   (9*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (10*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16902] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 6*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 16903] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^6 - (6*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 16904] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   8*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16905] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 16906] -> 
  1 - a^(-4) + 3/a^2 - 3*a^2 - a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 11*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 12*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 16907] -> 7 - a^(-2) - 7*a^2 + 2*a^6 + 11*z^2 - 
   z^2/a^4 - 16*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 14*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 16908] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (22*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16909] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (4*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (2*z^4)/a^6 - (22*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (13*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16910] -> 
  a^(-10) - 5/a^8 + 11/a^6 - 12/a^4 + 6/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (27*z^2)/a^6 - (32*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - (35*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16911] -> -2/a^14 + 11/a^12 - 18/a^10 + 8/a^8 + 
   2/a^6 - (5*z^2)/a^14 + (30*z^2)/a^12 - (49*z^2)/a^10 + (18*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^14 + (34*z^4)/a^12 - (58*z^4)/a^10 + (9*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (39*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 16912] -> 
  -a^(-14) + 5/a^12 - 5/a^10 - 4/a^8 + 6/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (10*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (10*z^4)/a^10 - (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16913] -> 
  3/a^10 - 8/a^8 + 5/a^6 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 + 
   (2*z^2)/a^10 - (20*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (5*z^4)/a^10 - (23*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 16914] -> 
  2/a^10 - 4/a^8 + 3/a^4 - z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (10*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 16915] -> 
  -8 - a^(-4) + 5/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 16916] -> 
  2/a^6 - 7/a^4 + 7/a^2 - a^2 + 7*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 + 
   (11*z^2)/a^2 - 5*a^2*z^2 + 16*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (10*z^4)/a^2 - 8*a^2*z^4 + 14*z^6 + z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 16917] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 16918] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + (17*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (29*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + 
   (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16919] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16920] -> -6*a^2 + 21*a^4 - 20*a^6 + 6*a^8 - 
   17*a^2*z^2 + 67*a^4*z^2 - 70*a^6*z^2 + 23*a^8*z^2 - 17*a^2*z^4 + 
   86*a^4*z^4 - 108*a^6*z^4 + 34*a^8*z^4 - 7*a^2*z^6 + 55*a^4*z^6 - 
   89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 16921] -> -2 + 3*a^2 + 7*a^4 - 11*a^6 + 4*a^8 - 
   5*z^2 + 12*a^2*z^2 + 12*a^4*z^2 - 29*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 + 2*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   7*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16922] -> 
  24 + 3/a^4 - 16/a^2 - 10*a^2 + 82*z^2 + (10*z^2)/a^4 - (54*z^2)/a^2 - 
   31*a^2*z^2 + 121*z^4 + (12*z^4)/a^4 - (73*z^4)/a^2 - 39*a^2*z^4 + 95*z^6 + 
   (6*z^6)/a^4 - (49*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16923] -> 12 + a^(-6) - 3/a^4 - 3/a^2 - 6*a^2 + 
   32*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 - 15*a^2*z^2 + 37*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 16924] -> 
  -3 + 9*a^2 - 5*a^4 - a^6 + a^8 - 7*z^2 + 24*a^2*z^2 - 11*a^4*z^2 - 
   13*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 15*a^4*z^4 - 25*a^6*z^4 + 
   12*a^8*z^4 - z^6 + 12*a^2*z^6 - 13*a^4*z^6 - 19*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 16925] -> 1 - a^(-2) + 4*a^2 - 3*a^4 - a^6 + a^8 + 
   4*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 4*a^2*z^4 - 13*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16926] -> -2 - a^(-2) + 9*a^2 - 5*a^4 + 3*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 13*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 + 31*a^2*z^4 - 13*a^4*z^4 + 13*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 16927] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 10*z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 14*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 16928] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - z^2/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16929] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (9*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - (26*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (27*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 16930] -> 
  1 + a^(-10) - 5/a^8 + 10/a^6 - 9/a^4 + 3/a^2 + 3*z^2 - z^2/a^10 + z^2/a^8 + 
   (11*z^2)/a^6 - (18*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16931] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16932] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 16933] -> 
  -6 - a^(-8) + 4/a^6 - 7/a^4 + 9/a^2 + a^2 + a^4 - 13*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 16934] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 
   6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (20*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (20*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16935] -> -a^(-18) + 5/a^16 - 7/a^14 - a^(-12) + 
   4/a^10 + a^(-8) - z^2/a^18 + (11*z^2)/a^16 - (29*z^2)/a^14 + 
   (10*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (30*z^4)/a^14 + (26*z^4)/a^12 + (26*z^4)/a^10 + (6*z^4)/a^8 - 
   (9*z^6)/a^14 + (20*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 16936] -> 
  -3 + a^(-2) + 8*a^4 - 5*a^6 - 7*z^2 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   29*a^4*z^2 - 12*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 34*a^4*z^4 - 
   11*a^6*z^4 - 7*z^6 + z^6/a^2 + 19*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16937] -> -a^4 + 11*a^8 - 12*a^10 + 3*a^12 - a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 + 29*a^8*z^2 - 23*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 10*a^6*z^4 + 28*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 16938] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 16939] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 16940] -> 
  -a^(-16) + 6/a^14 - 13/a^12 + 8/a^10 + a^(-8) - z^2/a^18 + (6*z^2)/a^16 - 
   (7*z^2)/a^14 - (18*z^2)/a^12 + (27*z^2)/a^10 + (4*z^2)/a^8 + 
   (4*z^4)/a^16 - (16*z^4)/a^14 - z^4/a^12 + (34*z^4)/a^10 + (6*z^4)/a^8 - 
   (6*z^6)/a^14 + (8*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 16941] -> 
  1 + a^(-10) - 5/a^8 + 10/a^6 - 9/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (21*z^2)/a^6 - (19*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 - 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16942] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 20*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 + 
   9*a^4*z^2 - 8*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 + 21*a^4*z^4 - 
   10*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 16943] -> -10 + 3/a^2 + 13*a^2 - 5*a^4 - 31*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 
   34*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16944] -> 
  18 + 3/a^4 - 13/a^2 - 7*a^2 + 59*z^2 + (10*z^2)/a^4 - (44*z^2)/a^2 - 
   21*a^2*z^2 + 88*z^4 + (11*z^4)/a^4 - (60*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (41*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 16945] -> -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - 
   9*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 
   16*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 16946] -> 
  a^(-10) - 5/a^8 + 5/a^6 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (22*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16947] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 + z^4/a^8 - (10*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 16948] -> -a^(-12) + 6/a^10 - 12/a^8 + 10/a^6 - 
   4/a^4 + 2/a^2 - (2*z^2)/a^12 + (13*z^2)/a^10 - (28*z^2)/a^8 + 
   (27*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - 
   (29*z^4)/a^8 + (29*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (15*z^6)/a^8 + (17*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 16949] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16950] -> -9 + a^(-6) - 5/a^4 + 10/a^2 + 5*a^2 - a^4 - 
   20*z^2 + z^2/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (21*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 - (3*z^4)/a^6 + z^4/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 16951] -> 4 + a^(-4) - 4/a^2 + a^2 - a^6 + 2*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 13*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16952] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 16953] -> 23 + 4/a^4 - 17/a^2 - 9*a^2 + 77*z^2 + 
   (14*z^2)/a^4 - (59*z^2)/a^2 - 27*a^2*z^2 + 107*z^4 + (14*z^4)/a^4 - 
   (75*z^4)/a^2 - 33*a^2*z^4 + 81*z^6 + (6*z^6)/a^4 - (47*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 16954] -> 
  4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 - 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16955] -> -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 
   20*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 + 9*a^4*z^2 - 8*a^6*z^2 - 20*z^4 + 
   (4*z^4)/a^2 + 16*a^2*z^4 + 21*a^4*z^4 - 10*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 16956] -> 
  -10 + 3/a^2 + 13*a^2 - 5*a^4 - 31*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 34*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (26*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16957] -> -4 + 12*a^2 - 7*a^4 - 2*a^6 + 
   2*a^8 - 8*z^2 + 28*a^2*z^2 - 17*a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 
   27*a^2*z^4 - 21*a^4*z^4 - 16*a^6*z^4 + 9*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   15*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 16958] -> 
  2/a^6 - 9/a^4 + 10/a^2 - 2*a^2 + 6*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (23*z^2)/a^2 - 7*a^2*z^2 + 15*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (25*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 16959] -> 
  5 - 2/a^2 - a^2 - a^4 - a^6 + a^8 + 9*z^2 - (3*z^2)/a^2 + a^2*z^2 - 
   9*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 13*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 16960] -> 
  6 - 3/a^2 - a^2 - a^4 + 13*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^4*z^2 + 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + 3*a^2*z^4 - 3*a^4*z^4 + 
   8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 16961] -> 
  1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 12*a^2*z^2 - 
   14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16962] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - 
   (16*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 16963] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 16964] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (20*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16965] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 4*a^2 - 2*a^4 + a^6 - 11*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 16966] -> -2 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 
   5/a^2 + a^2 - 8*z^2 - z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^2 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 16967] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 7/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + 
   (8*z^2)/a^10 - (20*z^2)/a^8 + (24*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (28*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 16968] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 - 6*a^2*z^4 + 
   6*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 16969] -> -2*a^4 + 5*a^6 + 2*a^8 - 5*a^10 + a^12 - 
   2*a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 + 13*a^8*z^2 - 14*a^10*z^2 + 
   2*a^12*z^2 - 3*a^2*z^4 + 16*a^6*z^4 + 19*a^8*z^4 - 13*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 16970] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 16971] -> 
  a^(-10) - 3/a^8 - a^(-6) + 6/a^4 - 2/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 16972] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 16973] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   21*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 16974] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 16975] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 13*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16976] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 19*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 + 
   6*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (29*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 16977] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 9*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (25*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (32*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16978] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 
   z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (22*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (22*z^4)/a^6 - 
   (26*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 16979] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   5/a^6 - 4/a^4 + 3/a^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (19*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + 
   (24*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - 
   (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 16980] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 6*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 16981] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 24*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (18*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 26*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 16982] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 
   7/a^2 + a^2 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (16*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + 
   (17*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16983] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 
   a^(-4) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 16984] -> 
  1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 16985] -> -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (24*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 16986] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 10*z^2 + 
   z^2/a^4 - z^2/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   11*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 16987] -> -a^2 + 2*a^4 + 4*a^8 - 5*a^10 + a^12 - z^2 - 
   a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 + 9*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - 
   z^4 + 5*a^4*z^4 + 7*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 16988] -> 
  -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 13*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 16989] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + 
   (12*z^2)/a^8 - (43*z^2)/a^6 + (49*z^2)/a^4 - (15*z^2)/a^2 + (13*z^4)/a^8 - 
   (63*z^4)/a^6 + (79*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 16990] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 3*z^2 + 
   (6*z^2)/a^8 - (19*z^2)/a^6 + (16*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (17*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 16991] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 16992] -> -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 + 
   z^2/a^10 - z^2/a^8 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 16993] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   17*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16994] -> -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 2*z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 16995] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   9*z^2 - z^2/a^6 + (4*z^2)/a^4 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 16996] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 
   18*z^2 - z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 
   26*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 16997] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 
   4/a^2 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (20*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (25*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 16998] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 5*a^2 - 3*a^4 + a^6 - 11*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 16999] -> 
  -4 - a^(-8) + 3/a^6 - 6/a^4 + 8/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17000] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (18*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (26*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17001] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17002] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17003] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   5*a^6*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 17004] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   3*z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (7*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17005] -> 4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 13*z^2 + 
   (6*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 - 9*a^2*z^2 + 19*z^4 + 
   (4*z^4)/a^6 - (24*z^4)/a^4 + (22*z^4)/a^2 - 10*a^2*z^4 + 15*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 17006] -> 
  1 + a^(-6) - 3/a^4 + 2/a^2 + a^2 - a^4 + z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 17007] -> 
  5 - 2/a^2 - 2*a^2 + 2*a^4 - 4*a^6 + 2*a^8 + 10*z^2 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 + 8*z^4 - z^4/a^2 - 
   6*a^2*z^4 - a^4*z^4 - 10*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 
   3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17008] -> 4 + a^(-8) - 4/a^6 + 4/a^4 - 2/a^2 - 2*a^2 + 
   10*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 10*z^4 + z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 17009] -> 
  -a^(-4) + 2/a^2 + a^2 - a^4 - a^6 + a^8 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   4*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 17010] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   4*z^4 - (2*z^4)/a^6 + (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 17011] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17012] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 + z^2 - 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 17013] -> -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 17014] -> a^(-2) - a^4 + a^6 + 2*z^2 - z^2/a^4 - 
   a^2*z^2 - 4*a^4*z^2 + a^8*z^2 + 4*z^4 - z^4/a^4 + 2*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 17015] -> 2*a^2 - 2*a^4 + 3*a^6 - 5*a^8 + 5*a^10 - 
   2*a^12 + 5*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 17*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 16*a^6*z^4 - 23*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 17016] -> 1 - a^2 + 3*a^4 - 4*a^6 + 2*a^8 + a^10 - 
   a^12 + 2*z^2 - 4*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 5*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 17017] -> -2 + 2/a^2 + a^2 - 4*a^4 + 7*a^6 - 3*a^8 - 
   10*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17018] -> 
  2 + a^(-4) - a^(-2) - 4*a^2 + 3*a^4 + a^6 - a^8 + 4*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17019] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17020] -> 2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 6*a^6*z^4 - 8*a^8*z^4 + 13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 17021] -> a^2 - 2*a^4 + 5*a^6 - 6*a^8 + 
   6*a^10 - 3*a^12 + 3*a^2*z^2 - 7*a^4*z^2 + 20*a^6*z^2 - 22*a^8*z^2 + 
   18*a^10*z^2 - 4*a^12*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 25*a^6*z^4 - 
   29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 16*a^6*z^6 - 
   16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 17022] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 17023] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   19*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17024] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 17025] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17026] -> 1 + a^(-2) - 3*a^2 - a^4 + 6*a^6 - 3*a^8 - 
   3*z^2 + (4*z^2)/a^2 - 4*a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   9*z^4 + (3*z^4)/a^2 + a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 6*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17027] -> 
  -2/a^14 + 4/a^12 - a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (5*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (11*z^4)/a^10 - (20*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17028] -> 
  1 + a^(-4) - a^(-2) - a^6 + a^8 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 17029] -> -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (10*z^2)/a^12 - (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - 
   (11*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17030] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 17031] -> a^4 + 2*a^10 - 2*a^12 + 3*a^4*z^2 + 
   a^6*z^2 + a^8*z^2 + 6*a^10*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - 2*a^8*z^4 + 
   6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 17032] -> 2*a^4 - a^6 + a^10 - a^12 + z^2 - a^2*z^2 + 
   4*a^4*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 17033] -> 
  a^4 - a^6 + 3*a^8 - 2*a^10 + a^12 - a^14 + 3*a^4*z^2 - a^6*z^2 + 
   7*a^8*z^2 + a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 4*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 17034] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   4*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17035] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 + 11*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 
   5*a^6*z^4 - 7*a^8*z^4 + 13*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   8*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 17036] -> -2/a^12 + 6/a^10 - 7/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (9*z^2)/a^10 - (16*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + z^4/a^10 - (18*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17037] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 17038] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + 
   a^8 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 - 6*z^4 - z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 17039] -> -a^(-14) + a^(-12) + 3/a^10 - 7/a^8 + 
   4/a^6 + a^(-4) - (3*z^2)/a^14 + (9*z^2)/a^12 + (2*z^2)/a^10 - 
   (17*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (6*z^4)/a^10 - (21*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 17040] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 
   2*a^2 + a^6 + 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 17041] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   8*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 
   4*z^4 - z^4/a^4 + (8*z^4)/a^2 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 17042] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + 2*a^8 - a^10 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + a^4*z^4 - 
   6*a^6*z^4 - z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 17043] -> -5 + 2/a^2 + 10*a^2 - 11*a^4 + 6*a^6 - a^8 - 
   14*z^2 + (3*z^2)/a^2 + 24*a^2*z^2 - 28*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - 
   12*z^4 + z^4/a^2 + 27*a^2*z^4 - 30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 15*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 17044] -> 
  -7 - a^(-8) + 4/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - 19*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (26*z^4)/a^4 + (31*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17045] -> 
  a^2 - a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   14*a^6*z^2 - 14*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 
   8*a^4*z^4 + 11*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 17046] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 - 
   2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + 
   (15*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (16*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17047] -> -3 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + a^4 - 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17048] -> 
  -2 + 2/a^2 + a^2 - 4*a^4 + 7*a^6 - 3*a^8 - 7*z^2 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17049] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + 
   a^6 + 7*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 17050] -> -3 + a^(-2) + 5*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 4*z^2 + z^2/a^4 + 8*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17051] -> 1 - 2*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 17052] -> 1 - 2*a^2 + 4*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   5*z^2 + z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 
   4*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 
   3*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 17053] -> 
  -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 25*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 28*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17054] -> 
  -2 + a^(-10) - 5/a^8 + 9/a^6 - 10/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (24*z^2)/a^6 - (27*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - (31*z^4)/a^4 + (20*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17055] -> -5 + 3/a^2 + 5*a^2 - 7*a^4 + 8*a^6 - 3*a^8 - 
   17*z^2 + (6*z^2)/a^2 + 19*a^2*z^2 - 25*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 
   20*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 30*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17056] -> 
  -1 + a^(-4) + 2*a^6 - a^8 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17057] -> 
  1 - a^2 + a^4 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + z^2 + z^2/a^2 - 2*a^2*z^2 + 
   4*a^6*z^2 - 7*a^8*z^2 + 5*a^10*z^2 - 2*z^4 - 4*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 7*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6, 
 Knot[15, Alternating, 17058] -> -3 + a^(-2) + 5*a^2 - 5*a^4 + 6*a^6 - 
   3*a^8 - 11*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17059] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - z^2 + z^2/a^4 - 
   2*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 17060] -> 1 - a^2 + 3*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   2*z^2 - a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 9*a^10*z^2 - 
   a^12*z^2 + z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 17061] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 
   4*a^6 - 2*a^8 - 7*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 15*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17062] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 3*z^2 + 
   13*a^2*z^2 - 18*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17063] -> a^2 - a^4 + 3*a^6 - 4*a^8 + 
   4*a^10 - 2*a^12 + 2*a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 15*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + a^2*z^4 - 9*a^4*z^4 + 18*a^6*z^4 - 18*a^8*z^4 + 
   4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 17064] -> 
  2*a^4 - a^8 - z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17065] -> 
  a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 4*a^4*z^2 + 3*a^6*z^2 - 
   7*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 3*a^6*z^4 - 
   11*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 2*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 17066] -> 1 + a^2 - 3*a^4 + 5*a^6 - 
   5*a^8 + 2*a^10 + z^2 + 3*a^2*z^2 - 15*a^4*z^2 + 19*a^6*z^2 - 13*a^8*z^2 + 
   3*a^10*z^2 - z^4 + 6*a^2*z^4 - 22*a^4*z^4 + 23*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 17067] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   10*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 11*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 17068] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + z^2 - a^2*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 5*a^10*z^2 + z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 + 12*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 
   3*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 17069] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 17070] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17071] -> -2 - 2/a^8 + 4/a^6 - 5/a^4 + 6/a^2 - 5*z^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17072] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   z^2 - a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 17073] -> 2 - a^(-8) + a^(-6) - a^2 + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17074] -> 2 - a^(-2) - a^2 + 2*a^4 - a^8 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17075] -> 
  2 - a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 2*a^10 + z^2 + 2*a^2*z^2 - 14*a^4*z^2 + 
   17*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 21*a^4*z^4 + 
   21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 17076] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17077] -> 
  a^(-2) - a^2 + 2*a^4 - a^6 - a^8 + a^10 + z^2 - 5*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17078] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 17079] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17080] -> 
  2 - a^(-6) + a^(-4) - a^2 + 4*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17081] -> 5*a^2 - 7*a^4 + 2*a^6 + 2*a^8 - a^10 - 
   2*z^2 + 10*a^2*z^2 - 10*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 6*a^2*z^4 - 3*a^4*z^4 - 8*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 17082] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 11*a^2*z^2 - 19*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 24*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 17083] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17084] -> 
  -2 + a^(-4) + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 17085] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 - 
   a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 17086] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 17087] -> 
  -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 18*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (23*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (27*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17088] -> 
  2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 17089] -> 
  1 + 2*z^2 - z^2/a^2 - a^2*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17090] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 17091] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 4*a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 
   a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 9*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 17092] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 5*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 17093] -> 
  -1 + a^(-2) + a^2 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17094] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17095] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 + 10*a^2*z^2 - 
   16*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 
   22*a^4*z^4 + 12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 17096] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17097] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17098] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17099] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 17100] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17101] -> 5*a^2 - 10*a^4 + 9*a^6 - 3*a^8 - 2*z^2 + 
   14*a^2*z^2 - 27*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   14*a^2*z^4 - 29*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 15*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 17102] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 + a^4*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 12*a^6*z^4 - 11*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 17103] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   10*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17104] -> 2 - a^2 - a^4 + a^6 - 3*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17105] -> 2 - a^2 - a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17106] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 2*a^2*z^2 + 
   6*a^4*z^2 - 18*a^6*z^2 + 9*a^8*z^2 - 8*a^2*z^4 + 27*a^4*z^4 - 41*a^6*z^4 + 
   12*a^8*z^4 - 12*a^2*z^6 + 38*a^4*z^6 - 36*a^6*z^6 + 6*a^8*z^6 - 
   6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 17107] -> 
  1 + a^2 - a^4 - a^6 + a^8 + z^2 + a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 2*z^4 + 
   a^2*z^4 + 4*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 
   6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17108] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 3*a^2*z^2 + 22*a^4*z^2 - 32*a^6*z^2 + 
   13*a^8*z^2 - 16*a^2*z^4 + 52*a^4*z^4 - 61*a^6*z^4 + 16*a^8*z^4 - 
   17*a^2*z^6 + 57*a^4*z^6 - 47*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   32*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 17109] -> 1 - a^2 + 4*a^4 - 5*a^6 + 
   2*a^8 + z^2 - 2*a^2*z^2 + 9*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 
   3*a^2*z^4 + 9*a^4*z^4 - 21*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 8*a^2*z^6 + 
   9*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17110] -> 
  -1 + 2/a^2 - a^2 + a^6 + 2*z^2 - 6*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 
   8*z^4 - (4*z^4)/a^2 - 4*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 17111] -> 
  a^(-4) - a^2 + a^6 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   z^4/a^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 17112] -> 
  2*a^2 - a^6 - a^8 + a^10 + a^2*z^2 + 6*a^4*z^2 - 7*a^6*z^2 - 7*a^8*z^2 + 
   6*a^10*z^2 - 6*a^2*z^4 + 11*a^4*z^4 - 5*a^6*z^4 - 17*a^8*z^4 + 
   5*a^10*z^4 - 5*a^2*z^6 + 12*a^4*z^6 + 5*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - 
   a^2*z^8 + 6*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 17113] -> 1 + a^4 - a^6 - a^8 + a^10 + z^2 + a^4*z^2 - 
   4*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 17114] -> 
  1 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   13*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17115] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 
   a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + 5*a^2*z^4 - 
   13*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17116] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17117] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 
   6*a^2*z^4 - 17*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17118] -> 2 - a^2 - a^6 + a^8 + z^2 - a^2*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 4*a^2*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 17119] -> 2 - 2*a^2 + a^4 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17120] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 
   z^2 - a^2*z^2 + 4*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 2*z^4 + a^2*z^4 + 
   5*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 17121] -> 1 + a^2 - a^4 - a^8 + a^10 + 
   z^2 - a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - z^4 - a^2*z^4 + 
   a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 4*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 17122] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 - z^2/a^2 - 4*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 
   9*z^4 - (4*z^4)/a^2 - 3*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 17123] -> 
  a^(-2) - a^4 + a^6 + z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   z^4/a^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 17124] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 13*z^2 + z^2/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 13*z^4 - z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 17125] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 3*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   a^12*z^2 - a^4*z^4 + 7*a^6*z^4 - 8*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 17126] -> 
  -1 + 2/a^8 - 8/a^6 + 8/a^4 - 4*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (21*z^2)/a^4 + z^2/a^2 - 6*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (30*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 17127] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (7*z^4)/a^6 + 
   (9*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (9*z^6)/a^4 + 
   z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 17128] -> 6 - 3/a^2 - a^2 - a^4 + 7*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 17129] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + 
   (8*z^2)/a^10 - (20*z^2)/a^8 + (13*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (17*z^4)/a^8 + (14*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17130] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - z^2/a^6 + (11*z^2)/a^4 - 
   (18*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^6 + (9*z^4)/a^4 - (19*z^4)/a^2 + 
   2*a^2*z^4 - 4*z^6 - (2*z^6)/a^6 + (5*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + z^8/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17131] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 4*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6/a^4 + (4*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 17132] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 17133] -> -a^(-4) + 2/a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 - 12*a^2*z^4 + 7*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 17134] -> 
  -7 + 4/a^2 + 4*a^2 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17135] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - z^2/a^2 - 11*a^2*z^2 + 16*a^4*z^2 - 
   6*a^6*z^2 + 2*z^4 - 11*a^2*z^4 + 21*a^4*z^4 - 7*a^6*z^4 - 3*z^6 + 
   z^6/a^2 - 2*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17136] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + a^(-12) + 5/a^10 + (6*z^2)/a^16 - 
   (23*z^2)/a^14 + (10*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   (12*z^4)/a^14 + (15*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 17137] -> -2/a^14 + 9/a^12 - 13/a^10 + 4/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (18*z^2)/a^12 - (28*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (14*z^4)/a^12 - (24*z^4)/a^10 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17138] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 + (5*z^2)/a^4 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17139] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - z^2/a^14 + (8*z^2)/a^12 - 
   (11*z^2)/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (10*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17140] -> 
  1 - 5*a^2 + 10*a^4 - 5*a^6 + z^2 - 14*a^2*z^2 + 30*a^4*z^2 - 12*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 10*a^2*z^4 + 34*a^4*z^4 - 11*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 19*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17141] -> 
  -1 + 4*a^2 - 4*a^6 + 2*a^8 - 3*z^2 + 12*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 - z^4/a^2 + 11*a^2*z^4 - 14*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 17142] -> -4 + 8*a^2 - a^4 - 2*a^6 - 
   12*z^2 + z^2/a^2 + 18*a^2*z^2 + 8*a^4*z^2 - 8*a^6*z^2 - 14*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 + 19*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17143] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 14*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - z^4 - z^4/a^2 + 13*a^2*z^4 - 17*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17144] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 + 3*z^2 - 20*a^2*z^2 + 36*a^4*z^2 - 13*a^6*z^2 - 
   2*z^4 + z^4/a^2 - 13*a^2*z^4 + 35*a^4*z^4 - 11*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   19*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17145] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17146] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 17147] -> -1 + 3/a^8 - 12/a^6 + 13/a^4 - 
   2/a^2 - 4*z^2 + (6*z^2)/a^8 - (31*z^2)/a^6 + (40*z^2)/a^4 - (6*z^2)/a^2 - 
   6*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (48*z^4)/a^4 - z^4/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (32*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17148] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 17149] -> -a^(-14) + 3/a^12 - 7/a^8 + 
   5/a^6 + a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (2*z^2)/a^10 - 
   (18*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (8*z^4)/a^10 - (22*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 17150] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (18*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17151] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   3*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (23*z^2)/a^4 - z^2/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (19*z^4)/a^4 + (4*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17152] -> 2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 - 
   (10*z^2)/a^12 + (17*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 - z^4/a^12 + (17*z^4)/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^6)/a^12 + (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17153] -> 
  11 + a^(-4) - 7/a^2 - 3*a^2 - a^4 + 26*z^2 + (4*z^2)/a^4 - (19*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 21*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 5*z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 17154] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (11*z^4)/a^8 - (8*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17155] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 
   2*a^2 - 12*z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17156] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 12*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 17157] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 15*a^2*z^2 - 19*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 22*a^2*z^4 - 23*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17158] -> a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   8*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - a^2*z^4 + 15*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 17159] -> -a^2 + 5*a^4 - 3*a^6 - z^2 - z^2/a^2 + 
   a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17160] -> 
  a^2 + a^4 - a^6 - 7*z^2 + z^2/a^2 + 10*a^2*z^2 - 2*a^6*z^2 - 8*z^4 + 
   z^4/a^4 - z^4/a^2 + 16*a^2*z^4 - 2*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   10*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 17161] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   19*z^2 - z^2/a^4 + (7*z^2)/a^2 + 24*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (8*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17162] -> 
  -2*a^2 + 12*a^4 - 14*a^6 + 5*a^8 - z^2 - 3*a^2*z^2 + 26*a^4*z^2 - 
   33*a^6*z^2 + 11*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 18*a^4*z^4 - 33*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 6*a^2*z^6 + 2*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 17163] -> -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 
   11*z^2 + z^2/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 + 
   z^4/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (7*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17164] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 2*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 22*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17165] -> -a^4 + a^6 + 9*a^8 - 11*a^10 + 
   3*a^12 - 5*a^4*z^2 + 9*a^6*z^2 + 23*a^8*z^2 - 21*a^10*z^2 + 3*a^12*z^2 - 
   7*a^4*z^4 + 16*a^6*z^4 + 23*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   2*a^4*z^6 + 12*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 17166] -> -1 + 4/a^8 - 16/a^6 + 18/a^4 - 
   4/a^2 - 6*z^2 + (8*z^2)/a^8 - (41*z^2)/a^6 + (52*z^2)/a^4 - (7*z^2)/a^2 - 
   9*z^4 + (5*z^4)/a^8 - (41*z^4)/a^6 + (63*z^4)/a^4 + z^4/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (41*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17167] -> -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (8*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 17168] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (11*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (15*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17169] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) - 2*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (11*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (12*z^4)/a^6 + (19*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 17170] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 17171] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - z^2 + (7*z^2)/a^6 - (17*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17172] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + (10*z^4)/a^4 + 
   z^4/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17173] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   22*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 - 
   29*z^4 + z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17174] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 13*z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + 19*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   13*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17175] -> -a^2 + 5*a^4 - 3*a^6 + 3*z^2 - z^2/a^2 - 
   9*a^2*z^2 + 18*a^4*z^2 - 7*a^6*z^2 + z^4 + z^4/a^2 - 11*a^2*z^4 + 
   23*a^4*z^4 - 7*a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 17176] -> -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 2*a^12 - 
   5*a^4*z^2 + 11*a^6*z^2 + 17*a^8*z^2 - 16*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   6*a^4*z^4 + 18*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 13*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 17177] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 
   26*z^2 + z^2/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 
   31*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17178] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 17179] -> 
  -a^4 + a^6 + 9*a^8 - 11*a^10 + 3*a^12 - a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 
   27*a^8*z^2 - 22*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 + 
   27*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 
   13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 17180] -> -3 + a^(-4) - a^(-2) + 7*a^2 - 3*a^4 - 
   11*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17181] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (4*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (16*z^4)/a^10 + 
   (14*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (18*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17182] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17183] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 10*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17184] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 17185] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (6*z^4)/a^10 - (10*z^4)/a^8 + (20*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 - z^6/a^8 + (12*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 17186] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 + z^2/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (6*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 17187] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   6*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 17188] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   21*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   27*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17189] -> 
  -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (18*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (19*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (12*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17190] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 17191] -> -3/a^6 + 5/a^4 - a^(-2) - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - z^6/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17192] -> 2/a^12 - 8/a^10 + 6/a^8 + 2/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (19*z^2)/a^10 + (20*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (15*z^4)/a^10 + (23*z^4)/a^8 + (14*z^4)/a^6 - 
   (3*z^4)/a^2 - (4*z^6)/a^10 + (13*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17193] -> a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) - 
   z^2 + z^2/a^12 - (7*z^2)/a^10 + (4*z^2)/a^8 + (11*z^2)/a^6 - z^4 - 
   (4*z^4)/a^10 + (5*z^4)/a^8 + (11*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 17194] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (19*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (19*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (12*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17195] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (18*z^2)/a^10 + 
   (18*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^2 + z^4/a^12 - (15*z^4)/a^10 + 
   (22*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^2 - (4*z^6)/a^10 + (13*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 17196] -> -a^(-10) + 3/a^8 - 4/a^6 + 
   2/a^4 + a^(-2) + z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^6 + 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (15*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (8*z^6)/a^4 - 
   z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17197] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (7*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 17198] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2 + z^2/a^12 - (7*z^2)/a^10 + 
   (5*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4 - (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 17199] -> -a^(-10) + 2/a^8 - 3/a^4 + 
   3/a^2 + z^2 - z^2/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17200] -> 
  -1 - a^(-6) + 3/a^2 - z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17201] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (7*z^2)/a^12 - (29*z^2)/a^10 + 
   (26*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (5*z^4)/a^12 - (34*z^4)/a^10 + 
   (42*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + 
   (33*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17202] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (2*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^2 + 
   z^4/a^12 - (10*z^4)/a^10 + (5*z^4)/a^8 + (18*z^4)/a^6 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17203] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (13*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (14*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17204] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2 + z^2/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4 - (3*z^4)/a^10 + 
   z^4/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 17205] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + 
   (8*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 17206] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17207] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 17208] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 
   14*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17209] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17210] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17211] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 10*z^2 + 
   z^2/a^2 + 23*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 28*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17212] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (8*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (11*z^4)/a^8 - (14*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17213] -> 
  3/a^12 - 11/a^10 + 10/a^8 - a^(-6) + (3*z^2)/a^12 - (22*z^2)/a^10 + 
   (27*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (15*z^4)/a^10 + (27*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (13*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17214] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - z^6/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17215] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 17216] -> a^(-12) - a^(-10) - 4/a^8 + 
   5/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 - (3*z^4)/a^8 + 
   (24*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (15*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17217] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 17218] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   z^4/a^8 - (12*z^4)/a^6 + (13*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 17219] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (6*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17220] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 17221] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - z^2 + (5*z^2)/a^8 - (17*z^2)/a^6 + 
   (18*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - (18*z^4)/a^6 + 
   (11*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 17222] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 17223] -> -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17224] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17225] -> -3*a^6 + 14*a^8 - 13*a^10 + 3*a^12 - 
   2*a^4*z^2 - 6*a^6*z^2 + 46*a^8*z^2 - 33*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 - 2*a^6*z^4 + 58*a^8*z^4 - 33*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 4*a^6*z^6 + 37*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 17226] -> -2*a^4 + 6*a^6 - 4*a^10 + a^12 - a^2*z^2 - 
   4*a^4*z^2 + 17*a^6*z^2 + 6*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 + 9*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 17227] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 17228] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (11*z^2)/a^6 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17229] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17230] -> 
  14 + 2/a^4 - 10/a^2 - 4*a^2 - a^4 + 38*z^2 + (5*z^2)/a^4 - (28*z^2)/a^2 - 
   5*a^2*z^2 - 5*a^4*z^2 + 48*z^4 + (4*z^4)/a^4 - (31*z^4)/a^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 34*z^6 + z^6/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 
   13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 17231] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 
   14*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 - 
   2*a^4*z^2 + 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 - 
   3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 17232] -> 
  -1 + 2*a^2 + 5*a^4 - 8*a^6 + 3*a^8 - 3*z^2 + 6*a^2*z^2 + 10*a^4*z^2 - 
   19*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 6*a^4*z^4 - 21*a^6*z^4 + 
   7*a^8*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 - 13*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 17233] -> -4 - a^(-4) + 4/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 - 14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17234] -> 
  -a^4 + 11*a^8 - 12*a^10 + 3*a^12 - 4*a^4*z^2 + 41*a^8*z^2 - 32*a^10*z^2 + 
   5*a^12*z^2 - 6*a^4*z^4 + 2*a^6*z^4 + 56*a^8*z^4 - 33*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 37*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 17235] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 4*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (22*z^2)/a^4 - 8*z^4 + (4*z^4)/a^8 - 
   (27*z^4)/a^6 + (33*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (28*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17236] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (20*z^2)/a^4 - (6*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (30*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (13*z^6)/a^6 + (25*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17237] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (10*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 17238] -> 
  -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17239] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 10*z^2 + z^2/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 
   a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 11*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17240] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + (11*z^4)/a^4 - (7*z^4)/a^2 + 
   7*a^2*z^4 - 12*z^6 - z^6/a^6 + (7*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 17241] -> 1 - a^(-4) + 3/a^2 - 5*a^2 + 3*a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 17242] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 11*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - 6*a^2*z^2 + 16*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (7*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17243] -> -2*a^2 + 7*a^4 - 4*a^6 - 6*z^2 + z^2/a^2 - 
   a^2*z^2 + 22*a^4*z^2 - 11*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   28*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 18*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 17244] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (18*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17245] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 11*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17246] -> 
  -a^(-10) + 6/a^8 - 9/a^6 + 3/a^4 + 2/a^2 - (4*z^2)/a^10 + (21*z^2)/a^8 - 
   (26*z^2)/a^6 + (7*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - (37*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 17247] -> 
  1 - 2/a^6 + 8/a^4 - 8/a^2 + 2*a^2 - 4*z^2 - (5*z^2)/a^6 + (28*z^2)/a^4 - 
   (32*z^2)/a^2 + 9*a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + (34*z^4)/a^4 - 
   (50*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - z^6/a^6 + (17*z^6)/a^4 - 
   (38*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - (14*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 17248] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 5*z^2 - (3*z^2)/a^6 + (16*z^2)/a^4 - 
   (21*z^2)/a^2 + 2*a^2*z^2 - (3*z^4)/a^6 + (21*z^4)/a^4 - (31*z^4)/a^2 + 
   5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (25*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 17249] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + 
   z^2 + (5*z^2)/a^10 - (15*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   2*z^4 - (9*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17250] -> 1 - a^(-10) + 5/a^8 - 6/a^6 + a^(-4) + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (12*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (12*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17251] -> -1 - 2/a^6 + 7/a^4 - 5/a^2 + a^2 + a^4 - 
   6*z^2 - (3*z^2)/a^6 + (17*z^2)/a^4 - (16*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   12*z^4 - z^4/a^6 + (13*z^4)/a^4 - (18*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (10*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   (2*z^8)/a^2 - a^2*z^8, Knot[15, Alternating, 17252] -> 
  -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - (5*z^2)/a^10 + (25*z^2)/a^8 - 
   (28*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (44*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (34*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17253] -> 1 - 2/a^10 + 6/a^8 - 5/a^6 + a^(-2) + 
   3*z^2 - (3*z^2)/a^10 + (16*z^2)/a^8 - (15*z^2)/a^6 - (2*z^2)/a^4 + 3*z^4 - 
   z^4/a^10 + (12*z^4)/a^8 - (17*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (9*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17254] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 6*a^2*z^4 + 
   6*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 17255] -> -2*a^4 + 5*a^6 + 2*a^8 - 5*a^10 + a^12 - 
   7*a^4*z^2 + 12*a^6*z^2 + 24*a^8*z^2 - 23*a^10*z^2 + 4*a^12*z^2 - 
   9*a^4*z^4 + 13*a^6*z^4 + 44*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 34*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 17256] -> -1 + a^2 + 5*a^4 - 5*a^6 + a^8 - 4*z^2 + 
   8*a^2*z^2 + 10*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 
   5*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17257] -> 
  -2 + 5*a^2 - 3*a^6 + a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   7*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17258] -> 
  14 + a^(-4) - 8/a^2 - 6*a^2 + 55*z^2 + (7*z^2)/a^4 - (36*z^2)/a^2 - 
   21*a^2*z^2 + 88*z^4 + (9*z^4)/a^4 - (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 17259] -> 9 - 4/a^2 - 4*a^2 + 25*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (7*z^2)/a^2 - 11*a^2*z^2 + 29*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17260] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 9*z^2 - 
   z^2/a^6 + (7*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 17261] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 9/a^2 - 
   16*z^2 - z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 
   25*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 17262] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17263] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   13*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   19*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17264] -> -2/a^10 + 10/a^8 - 14/a^6 + 5/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (29*z^2)/a^8 - (39*z^2)/a^6 + (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (32*z^4)/a^8 - (50*z^4)/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (35*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 17265] -> 1 - a^(-10) + 4/a^8 - 2/a^6 - 
   4/a^4 + 3/a^2 + 3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (4*z^2)/a^6 - 
   (15*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (7*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17266] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   5*z^2 - (3*z^2)/a^6 + (18*z^2)/a^4 - (20*z^2)/a^2 + 7*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^6 + (24*z^4)/a^4 - (35*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (14*z^6)/a^4 - (29*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 17267] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (16*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (23*z^4)/a^8 - (30*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (26*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 17268] -> -2*a^4 + 5*a^6 + 2*a^8 - 
   5*a^10 + a^12 - a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 + 14*a^8*z^2 - 
   14*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 13*a^6*z^4 + 19*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 11*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 17269] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   8*a^4*z^4 - 11*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17270] -> 
  8 + a^(-6) - 3/a^4 - a^(-2) - 4*a^2 + 18*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 - 
   8*a^2*z^2 + 19*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17271] -> 3*a^4 - 2*a^6 - 5*z^2 + z^2/a^2 + 
   5*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 
   8*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 + 8*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 17272] -> -2 + 5*a^2 - 3*a^6 + a^8 - 5*z^2 + 
   13*a^2*z^2 + 3*a^4*z^2 - 15*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17273] -> 
  19 + 2/a^4 - 12/a^2 - 8*a^2 + 62*z^2 + (8*z^2)/a^4 - (41*z^2)/a^2 - 
   23*a^2*z^2 + 91*z^4 + (10*z^4)/a^4 - (57*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 17274] -> -2 + 4*a^2 - a^8 - 5*z^2 + 12*a^2*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 17275] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17276] -> 2 - a^(-2) + 2*a^4 - 3*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17277] -> 7 + a^(-6) - 4/a^4 + a^(-2) - 4*a^2 + 
   23*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 - 11*a^2*z^2 + 29*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 17278] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2/a^10 + (8*z^2)/a^8 - (9*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (16*z^4)/a^8 - (21*z^4)/a^6 - 
   (13*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (23*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 17279] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (6*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 17280] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 - (12*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + z^4/a^10 - 
   (13*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 17281] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + a^(-12) + 5/a^10 + (6*z^2)/a^16 - 
   (23*z^2)/a^14 + (7*z^2)/a^12 + (20*z^2)/a^10 + (3*z^2)/a^8 - 
   (13*z^4)/a^14 + (14*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 + 
   (8*z^6)/a^12 + (11*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 17282] -> -a^(-18) + 6/a^16 - 10/a^14 + a^(-12) + 
   5/a^10 + (6*z^2)/a^16 - (22*z^2)/a^14 + (6*z^2)/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 - (13*z^4)/a^14 + (13*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 + z^4/a^6 + (8*z^6)/a^12 + (11*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 17283] -> a^(-14) - 4/a^12 + 4/a^10 - 
   3/a^8 + 3/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (9*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 - (7*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 17284] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + 
   2*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   9*z^4 + z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   9*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 17285] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (15*z^2)/a^10 - (2*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^14 + (11*z^4)/a^12 - 
   (14*z^4)/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (11*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17286] -> 
  14 + 3/a^4 - 11/a^2 - 5*a^2 + 32*z^2 + z^2/a^6 + (5*z^2)/a^4 - 
   (26*z^2)/a^2 - 10*a^2*z^2 + 30*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (21*z^4)/a^2 - 8*a^2*z^4 + 15*z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17287] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17288] -> -2/a^14 + 8/a^12 - 12/a^10 + 5/a^8 + 2/a^6 - 
   (3*z^2)/a^14 + (17*z^2)/a^12 - (26*z^2)/a^10 + (10*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (14*z^4)/a^12 - (23*z^4)/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (7*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17289] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 17290] -> -a^(-18) + 6/a^16 - 11/a^14 + 
   4/a^12 + 2/a^10 + a^(-8) + (6*z^2)/a^16 - (23*z^2)/a^14 + (12*z^2)/a^12 + 
   (12*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (12*z^4)/a^14 + (15*z^4)/a^12 + 
   (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 17291] -> 
  a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (10*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (15*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17292] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (4*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (3*z^6)/a^6 + (9*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17293] -> -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (19*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^10 + (17*z^4)/a^8 - (15*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17294] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17295] -> 
  -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 9*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17296] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 8*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 2*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 17297] -> -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (12*z^2)/a^12 - (18*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (18*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17298] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^6 + (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 17299] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 + z^2/a^6 - (8*z^2)/a^2 - 4*a^2*z^2 + 
   14*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 - 4*a^2*z^4 + 9*z^6 + 
   z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 17300] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 + 4*z^2 + z^2/a^2 - 20*a^2*z^2 + 27*a^4*z^2 - 
   8*a^6*z^2 - z^4 + (2*z^4)/a^2 - 19*a^2*z^4 + 26*a^4*z^4 - 7*a^6*z^4 - 
   5*z^6 + z^6/a^2 - 5*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17301] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17302] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 14*z^2 - z^2/a^4 - z^2/a^2 - 22*a^2*z^2 + 
   8*a^4*z^2 + 12*z^4 - z^4/a^4 + (2*z^4)/a^2 - 25*a^2*z^4 + 8*a^4*z^4 + 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 15*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 17303] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (15*z^2)/a^10 - (16*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 + (10*z^4)/a^10 - (20*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^2 - 
   (9*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17304] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17305] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 17306] -> 1 - a^(-8) + 2/a^6 + 3/a^4 - 6/a^2 + 2*a^2 - 
   z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - (18*z^2)/a^2 + 5*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 - (22*z^4)/a^2 + 4*a^2*z^4 - 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 17307] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (14*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + z^4/a^12 - (10*z^4)/a^10 + 
   (16*z^4)/a^8 + z^4/a^6 - z^4/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17308] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (14*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + (9*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17309] -> 
  -1 - a^(-8) + 2/a^6 + 2/a^4 - 3/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 17310] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17311] -> -a^(-12) + 2/a^10 + 2/a^8 - 6/a^6 + 2/a^4 + 
   2/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 + z^2/a^8 - (17*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (6*z^4)/a^8 - 
   (23*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 17312] -> 1 - a^(-12) + 2/a^10 + a^(-8) - 
   3/a^6 + a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (10*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 17313] -> -a^2 + 2*a^4 + 4*a^8 - 5*a^10 + a^12 - 
   3*a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 + 9*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 16*a^6*z^4 + 9*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 17314] -> 
  -3 - 2/a^8 + 7/a^6 - 12/a^4 + 11/a^2 - 15*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (27*z^2)/a^4 + (32*z^2)/a^2 + 3*a^2*z^2 - 24*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (36*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 17315] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (13*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (10*z^4)/a^10 + (15*z^4)/a^8 - z^4/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17316] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2 - 
   z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17317] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + a^2*z^2 + z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 17318] -> -4 - 2/a^4 + 6/a^2 + a^4 - 8*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 16*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 17319] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 - 
   z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 - z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17320] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^4 + 
   2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17321] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (19*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 17322] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 
   4*a^2 - 20*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (25*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17323] -> 4 - a^(-2) - 3*a^2 + a^4 + 16*z^2 - 
   (6*z^2)/a^2 - 13*a^2*z^2 + 3*a^4*z^2 + 19*z^4 - z^4/a^4 - (3*z^4)/a^2 - 
   16*a^2*z^4 + 4*a^4*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 - 10*a^2*z^6 + 
   3*a^4*z^6 - z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 17324] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   (5*z^2)/a^12 + (15*z^2)/a^10 - (18*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 + 
   (10*z^4)/a^10 - (20*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^2 - (9*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17325] -> -a^(-12) + 4/a^10 - 8/a^8 + 7/a^6 - 2/a^4 + 
   a^(-2) + z^2 + (5*z^2)/a^10 - (17*z^2)/a^8 + (24*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - (10*z^4)/a^8 + (24*z^4)/a^6 - (17*z^4)/a^4 + z^6 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17326] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 4*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   (6*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 17327] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17328] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 17329] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 - 
   (2*z^2)/a^12 + (15*z^2)/a^10 - (17*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (6*z^4)/a^10 - (15*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 17330] -> a^(-12) - 4/a^10 + 2/a^8 + 
   2/a^6 + z^2/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (8*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17331] -> -a^(-16) + 6/a^14 - 12/a^12 + 7/a^10 + 
   a^(-6) + (5*z^2)/a^14 - (22*z^2)/a^12 + (24*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 - (10*z^4)/a^12 + (26*z^4)/a^10 - (10*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (9*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17332] -> 
  a^(-14) - 5/a^12 + 10/a^10 - 11/a^8 + 5/a^6 + a^(-4) - z^2/a^14 - 
   (3*z^2)/a^12 + (19*z^2)/a^10 - (26*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (10*z^4)/a^10 - (27*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17333] -> 
  -2/a^12 + 9/a^10 - 14/a^8 + 7/a^6 + a^(-4) - z^2/a^14 + z^2/a^12 + 
   (15*z^2)/a^10 - (31*z^2)/a^8 + (15*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 + (6*z^4)/a^10 - (31*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17334] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 15*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (20*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17335] -> 
  -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 21*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - z^4/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + 
   (27*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17336] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 
   30*z^2 + z^2/a^6 - (6*z^2)/a^4 + (19*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 
   34*z^4 + z^4/a^6 - (7*z^4)/a^4 + (22*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 
   20*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17337] -> 
  -3 + a^(-2) + 2*a^2 + 4*a^4 - 3*a^6 - 12*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + z^4/a^4 + 13*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 - 3*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17338] -> 
  -12 + 4/a^2 + 14*a^2 - 5*a^4 - 33*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 29*a^2*z^2 - 7*a^4*z^2 - 36*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17339] -> -2/a^18 + 11/a^16 - 19/a^14 + 
   8/a^12 + 3/a^10 - z^2/a^18 + (16*z^2)/a^16 - (49*z^2)/a^14 + 
   (31*z^2)/a^12 + (14*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - 
   (38*z^4)/a^14 + (41*z^4)/a^12 + (26*z^4)/a^10 + (5*z^4)/a^8 - 
   (9*z^6)/a^14 + (24*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 17340] -> 
  -a^(-18) + 5/a^16 - 7/a^14 - a^(-12) + 4/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (16*z^2)/a^14 + (18*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + 
   (7*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + 
   (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 17341] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17342] -> 
  -2/a^14 + 10/a^12 - 16/a^10 + 7/a^8 + 2/a^6 - (4*z^2)/a^14 + 
   (24*z^2)/a^12 - (41*z^2)/a^10 + (18*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (29*z^4)/a^12 - (49*z^4)/a^10 + (13*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (34*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 17343] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (10*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (9*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17344] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (25*z^2)/a^4 + (18*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (15*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17345] -> -9 + a^(-6) - 5/a^4 + 10/a^2 + 5*a^2 - a^4 - 
   19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17346] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17347] -> a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 4/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (19*z^2)/a^10 - (25*z^2)/a^8 + (14*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + (10*z^4)/a^10 - (25*z^4)/a^8 + (17*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - (9*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17348] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 17349] -> 
  -3 - a^(-8) + 3/a^6 - 2/a^4 + 2/a^2 + a^2 + a^4 - 6*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17350] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 
   2/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17351] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (22*z^2)/a^6 - (20*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - 
   (22*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17352] -> -1 - a^2 + 12*a^4 - 13*a^6 + 
   4*a^8 - 3*z^2 + a^2*z^2 + 26*a^4*z^2 - 31*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 
   7*a^2*z^4 + 18*a^4*z^4 - 32*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 + 
   2*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17353] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17354] -> -1 + 2/a^10 - 9/a^8 + 12/a^6 - 
   7/a^4 + 4/a^2 - 4*z^2 + z^2/a^10 - (12*z^2)/a^8 + (29*z^2)/a^6 - 
   (26*z^2)/a^4 + (17*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (34*z^4)/a^4 + (25*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17355] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) - 
   z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - (4*z^6)/a^6 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 17356] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17357] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   9*z^4 + (3*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + a^6*z^4 - 5*z^6 - 
   (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 17358] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 + z^4/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 17359] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 7*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   7*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 17360] -> -1 - a^(-8) + 6/a^6 - 11/a^4 + 8/a^2 - 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (25*z^2)/a^4 + 
   (15*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (20*z^4)/a^6 - 
   (25*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17361] -> -4 + 12*a^2 - 10*a^4 + 4*a^6 - 
   a^8 - 8*z^2 + 26*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 5*z^4 + 
   24*a^2*z^4 - 17*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17362] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 9*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   7*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17363] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 - 
   z^2/a^10 - (7*z^2)/a^8 + (24*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 + (13*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17364] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (8*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 17365] -> 
  -2 + 3*a^2 + 7*a^4 - 11*a^6 + 4*a^8 - 5*z^2 + 11*a^2*z^2 + 11*a^4*z^2 - 
   24*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 4*a^4*z^4 - 27*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 17366] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 
   18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17367] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 17368] -> -1 - a^(-6) + 2/a^4 + a^2 + 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 17369] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17370] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (13*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (9*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 17371] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + 
   (11*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 + 
   (17*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17372] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) - z^2/a^12 + (8*z^2)/a^10 - 
   (15*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 17373] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - 2*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 - a^4*z^2 - 7*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17374] -> -5 + 2/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - a^4 - 
   14*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (27*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17375] -> 
  2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - a^4*z^2 + z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 17376] -> 
  1 + a^(-10) - 5/a^8 + 8/a^6 - 5/a^4 + a^(-2) + z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (21*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 - z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (22*z^4)/a^6 - (24*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (15*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 17377] -> 
  2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) - 2*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (20*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17378] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17379] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   11*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17380] -> 
  -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 15*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17381] -> -6 + a^(-6) - 6/a^4 + 10/a^2 + 
   3*a^2 - a^4 - 19*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (27*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (32*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17382] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   19*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 2*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 17383] -> 
  -2*a^4 + 6*a^6 - 4*a^10 + a^12 - a^2*z^2 - 5*a^4*z^2 + 18*a^6*z^2 + 
   7*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   23*a^6*z^4 + 13*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 15*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 17384] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   3*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (12*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (9*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17385] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   3*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 17386] -> 
  -3*a^4 + 10*a^6 - 5*a^8 - 2*a^10 + a^12 - a^2*z^2 - 8*a^4*z^2 + 
   28*a^6*z^2 - 4*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 
   29*a^6*z^4 + 7*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 17387] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   (5*z^2)/a^12 + (15*z^2)/a^10 - (19*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + (9*z^4)/a^10 - (18*z^4)/a^8 + (13*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (7*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17388] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 9*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   16*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17389] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 17390] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 10*z^2 - 
   z^2/a^6 + (8*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 17391] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 
   2*a^2 - 11*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17392] -> 2 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 - a^2 + 
   a^4 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 17393] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - 
   (24*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17394] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   4/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^12 + (10*z^2)/a^10 - (15*z^2)/a^8 + 
   (12*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - 
   (20*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 17395] -> 
  1 - a^(-12) + 3/a^10 - 2/a^8 - 2/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17396] -> -2 + 4*a^2 + 3*a^4 - 6*a^6 + 2*a^8 - 5*z^2 + 
   12*a^2*z^2 + 4*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 
   a^4*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17397] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17398] -> 1 - a^(-2) + 4*a^2 - 3*a^4 - a^6 + 
   a^8 + 3*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 13*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 + 4*z^4 - z^4/a^2 + 8*a^2*z^4 - 18*a^4*z^4 + a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17399] -> 
  2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 7*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (15*z^2)/a^2 - 6*a^2*z^2 + 12*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (19*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17400] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 17401] -> -4 - a^(-8) + 3/a^6 - 6/a^4 + 8/a^2 + a^2 - 
   18*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 
   26*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 17402] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 
   3/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (24*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17403] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   17*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17404] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 17405] -> -a^(-12) + 4/a^10 - 8/a^8 + 7/a^6 - 2/a^4 + 
   a^(-2) - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (20*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (24*z^4)/a^6 - 
   (16*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17406] -> -1 + a^(-10) - 5/a^8 + 7/a^6 - 5/a^4 + 
   4/a^2 - 5*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (22*z^2)/a^4 + 
   (18*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + 
   (26*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17407] -> 
  2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (23*z^2)/a^10 - (17*z^2)/a^8 + (13*z^2)/a^6 - (4*z^4)/a^12 + 
   (22*z^4)/a^10 - (25*z^4)/a^8 + (18*z^4)/a^6 - (2*z^4)/a^4 + (6*z^6)/a^10 - 
   (17*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 17408] -> 
  1 - a^(-2) + 3*a^2 - 3*a^4 + 2*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17409] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17410] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17411] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 - (8*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 17412] -> 
  -a^2 + a^4 + 5*a^6 - 4*a^8 - 3*a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 + 
   2*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 15*a^6*z^4 + 
   12*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 17413] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 19*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17414] -> 
  2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 7*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (13*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (15*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 17415] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (18*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (21*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17416] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 17417] -> 
  2 - a^(-2) - a^2 + 5*a^4 - 6*a^6 + 2*a^8 + 5*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 10*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17418] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 17419] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17420] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17421] -> 
  5 - 2/a^2 - 2*a^2 - a^4 + 2*a^6 - a^8 + 9*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17422] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + a^8*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 17423] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17424] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (17*z^4)/a^6 - (23*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17425] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 2/a^2 - 
   z^2/a^12 - (2*z^2)/a^10 + (10*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 - (10*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^10 - z^6/a^8 - (8*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 17426] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17427] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   z^2/a^6 - (2*z^2)/a^2 + z^4 + (2*z^4)/a^10 - (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 17428] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17429] -> 
  1 - a^(-2) + 3*a^2 - 4*a^6 + 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17430] -> 3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 
   4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 17431] -> -4 + a^(-4) + 5*a^2 - a^6 - 9*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 17432] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + z^2 + 
   z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 17433] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 
   19*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - 
   (7*z^4)/a^6 + (10*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17434] -> -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 17435] -> 
  -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 7*z^2 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17436] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + a^6 - 
   z^2 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 17437] -> 
  a^2 - 2*a^4 + 5*a^6 - 4*a^8 + 2*a^10 - a^12 + 3*a^2*z^2 - 5*a^4*z^2 + 
   10*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^4*z^4 + 
   4*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 17438] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + 
   (5*z^2)/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 17439] -> 1 - a^(-10) + a^(-8) + a^(-6) - 
   a^(-4) + 2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17440] -> -a^(-8) + 2/a^6 - a^(-4) + a^(-2) - a^2 + 
   a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 17441] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + z^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 9*a^6*z^2 - 12*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 17442] -> a^2 + a^4 - 2*a^6 + 3*a^10 - 2*a^12 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 9*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 20*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 9*a^4*z^6 + 9*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 17443] -> 
  2*a^2 - 2*a^4 + a^6 + a^10 - a^12 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 - 
   2*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 17444] -> 1 + a^(-2) - 3*a^2 + 4*a^6 - 
   2*a^8 - 4*z^2 + (4*z^2)/a^2 - 2*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 
   3*a^8*z^2 - 12*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17445] -> 
  -2 + 2/a^2 + 2*a^6 - a^8 - 6*z^2 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 17446] -> -a^(-14) + a^(-12) + a^(-10) - 
   2/a^8 + 2/a^4 - (2*z^2)/a^14 + (9*z^2)/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (12*z^4)/a^10 - 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 17447] -> -a^(-14) + 2/a^12 - 2/a^10 + 
   a^(-8) + a^(-2) - z^2/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 17448] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17449] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17450] -> 2*a^6 - 2*a^8 + 3*a^10 - a^12 - a^14 + 
   7*a^6*z^2 - 3*a^8*z^2 + 10*a^10*z^2 + 2*a^12*z^2 - 4*a^14*z^2 + 
   9*a^6*z^4 - 5*a^8*z^4 + 8*a^10*z^4 + 11*a^12*z^4 - 4*a^14*z^4 + 
   5*a^6*z^6 - 8*a^8*z^6 - 2*a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 17451] -> a^4 - a^6 + 3*a^8 - 3*a^10 + 3*a^12 - 
   2*a^14 + 3*a^4*z^2 - 2*a^6*z^2 + 12*a^8*z^2 - 7*a^10*z^2 + 8*a^12*z^2 - 
   3*a^14*z^2 + 3*a^4*z^4 - 3*a^6*z^4 + 9*a^8*z^4 - 5*a^10*z^4 + 7*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   a^8*z^8 - a^10*z^8, Knot[15, Alternating, 17452] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 2*z^2 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17453] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17454] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 17455] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 
   a^(-4) + 2*z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + 
   z^4 - (7*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17456] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17457] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + a^6 - 
   z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 17458] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 17459] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17460] -> 
  -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 10*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 17461] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   21*z^2 + z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 21*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 12*z^6 + (6*z^6)/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - a^2*z^8, 
 Knot[15, Alternating, 17462] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   3*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17463] -> a^4 + a^10 - a^14 + 3*a^4*z^2 + 4*a^8*z^2 + 
   3*a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - a^6*z^4 + a^8*z^4 + 
   4*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 4*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 17464] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   19*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 
   22*z^4 + z^4/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17465] -> 
  -4 - a^(-8) + 3/a^6 - 6/a^4 + 8/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17466] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 17*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   24*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 21*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   30*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17467] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 21*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 21*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17468] -> 
  3*a^6 - 5*a^8 + 7*a^10 - 4*a^12 + 10*a^6*z^2 - 10*a^8*z^2 + 16*a^10*z^2 - 
   3*a^12*z^2 - 2*a^14*z^2 + a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 + 13*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 + a^6*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 17469] -> a^(-14) - 5/a^12 + 9/a^10 - 8/a^8 + 2/a^6 + 
   2/a^4 - z^2/a^14 - (2*z^2)/a^12 + (15*z^2)/a^10 - (18*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (5*z^4)/a^10 - 
   (19*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 17470] -> -5 - a^(-8) + 3/a^6 - 4/a^4 + 
   6/a^2 + a^2 + a^4 - 7*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (12*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17471] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 9/a^2 - a^2 + 
   2*a^4 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17472] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 5*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - z^4/a^2 + 
   3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 17473] -> 4*a^6 - 8*a^8 + 11*a^10 - 7*a^12 + a^14 + 
   12*a^6*z^2 - 18*a^8*z^2 + 24*a^10*z^2 - 5*a^12*z^2 - 3*a^14*z^2 + 
   13*a^6*z^4 - 19*a^8*z^4 + 17*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 
   6*a^6*z^6 - 14*a^8*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 17474] -> 2*a^4 - 3*a^6 + 4*a^8 - 2*a^10 + a^12 - 
   a^14 + 5*a^4*z^2 - 6*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + 6*a^12*z^2 - 
   3*a^14*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 7*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 17475] -> 
  -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 9*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 
   29*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 
   32*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17476] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 - 4*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 
   6*z^4 + z^4/a^2 + 4*a^2*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17477] -> 
  4*a^6 - 8*a^8 + 11*a^10 - 7*a^12 + a^14 + 12*a^6*z^2 - 17*a^8*z^2 + 
   23*a^10*z^2 - 6*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 9*a^6*z^4 - 
   16*a^8*z^4 + 17*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 11*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 17478] -> -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 
   9*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 28*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 
   10*z^4 + z^4/a^2 + 25*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 17479] -> 
  -5 + 3/a^2 + 5*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - 15*z^2 + (5*z^2)/a^2 + 
   16*a^2*z^2 - 21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   23*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17480] -> -1 + a^(-4) + a^2 - 2*a^4 + 
   3*a^6 - a^8 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 17481] -> -6 - 2/a^8 + 5/a^6 - 5/a^4 + 6/a^2 + 3*a^2 - 
   17*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (23*z^4)/a^4 + 
   (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (15*z^6)/a^4 + 
   (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17482] -> -2 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + a^4 - 
   2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 17483] -> 2 - a^(-6) + 3/a^4 - 2/a^2 - 
   3*a^2 + 2*a^4 + 5*z^2 - z^2/a^8 + (3*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17484] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 3*z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (2*z^4)/a^6 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 17485] -> -3 + a^(-2) + 6*a^2 - 6*a^4 + 5*a^6 - 
   2*a^8 - 9*z^2 + z^2/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 15*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 17486] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   a^6 + 2*a^8 - a^10 - 4*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   3*a^6*z^2 + 4*a^8*z^2 - 4*z^4 - (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 - 
   5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, Knot[15, Alternating, 17487] -> 
  -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 17*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17488] -> 
  -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 18*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 20*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 27*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17489] -> -3 - 2/a^8 + 5/a^6 - 6/a^4 + 
   6/a^2 + a^2 - 10*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (23*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17490] -> 
  a^4 - a^8 + 4*a^10 - 3*a^12 + 3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   15*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 
   15*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 9*a^8*z^6 + 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 17491] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 17492] -> 
  -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 20*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17493] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 4*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17494] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*z^2 + z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 
   3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 17495] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + z^4 - (3*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 17496] -> 2*a^4 - 3*a^6 + 3*a^8 + a^10 - 
   2*a^12 + 5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   2*a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 8*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 17497] -> 
  a^2 - a^4 + a^6 + a^8 - a^10 + a^12 - a^14 + 2*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - 
   a^4*z^4 - a^6*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 17498] -> 
  3 - a^(-2) - 2*a^2 + 3*a^6 - 2*a^8 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17499] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 3*a^8*z^2 - z^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 17500] -> 
  2*a^4 - 3*a^6 + 3*a^8 + a^10 - 2*a^12 + 5*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 
   7*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 - 
   a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 17501] -> 3 - a^(-2) - 2*a^2 + 3*a^6 - 
   2*a^8 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 17502] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 
   3*a^6 - a^8 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 17503] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 17504] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17505] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   5*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 
   18*a^4*z^4 + 13*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 17506] -> 1 - a^2 + a^4 + a^8 - a^10 + 2*z^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17507] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   z^4/a^2 + 15*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17508] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + z^2/a^2 + 16*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 17509] -> 
  1 - a^6 + 2*a^8 - a^10 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 17510] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 2*a^2*z^2 - 
   6*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 - 
   10*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17511] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 3*a^2*z^2 - 
   7*a^4*z^2 + 10*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + 4*a^2*z^4 - 10*a^4*z^4 + 
   5*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17512] -> 
  2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 15*a^2*z^2 - 
   18*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 17513] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 17514] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 
   14*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 
   12*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17515] -> 
  2*a^4 - a^6 + a^8 - a^10 + z^2 - 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 
   5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17516] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 17517] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17518] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17519] -> 
  2 - a^2 - a^6 + a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17520] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 17521] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17522] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 17523] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 17524] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17525] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 17526] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   12*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17527] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 5*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 15*a^4*z^4 + 11*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 17528] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   13*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 12*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 17529] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 17*a^2*z^2 - 16*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17530] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   (2*z^2)/a^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17531] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 
   14*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 17532] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 + a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17533] -> 
  1 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 17534] -> 
  1 + a^6 - 2*a^8 + a^10 + z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 17535] -> 1 - a^2 + a^4 + 3*a^6 - 5*a^8 + 2*a^10 + 
   z^2 - 7*a^4*z^2 + 16*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - z^4 + 5*a^2*z^4 - 
   17*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 17536] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 
   4*a^2 - a^4 - 15*z^2 + (6*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17537] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17538] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 17539] -> 
  a^2 + a^4 - 2*a^8 + a^10 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 17540] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17541] -> 2*a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17542] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17543] -> 2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 17544] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^2*z^2 - 
   a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 
   10*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 10*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17545] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 + z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + 11*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 
   7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 17546] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - 2*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17547] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17548] -> -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 17549] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 7*a^2*z^2 + a^4*z^2 - 14*a^6*z^2 + 
   7*a^8*z^2 - 7*z^4 + 13*a^2*z^4 + 2*a^4*z^4 - 20*a^6*z^4 + 5*a^8*z^4 - 
   5*z^6 + 13*a^2*z^6 + 7*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 17550] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 2*a^2*z^2 - 
   a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17551] -> 
  3*a^2 - 2*a^4 - a^8 + a^10 - z^2 + 6*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 - 
   3*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 17552] -> 
  1 + a^2 - a^4 - a^8 + a^10 + z^2 - 2*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - z^4 - z^4/a^2 + a^2*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 17553] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 - z^2/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 17554] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 3*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 5*a^4*z^4 + 12*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 17555] -> 
  2*a^4 - a^8 - z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 13*a^2*z^4 - 17*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17556] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 17557] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17558] -> 1 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17559] -> 2*a^4 + a^6 - 2*a^8 - a^10 + a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 - 7*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + 
   a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 17560] -> 
  a^2 + a^4 - a^6 + a^8 - 2*a^10 + a^12 + a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   6*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 
   5*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 17561] -> -2 + a^(-4) + 2*a^2 - 10*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + z^6/a^4 + (3*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 17562] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 4*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 3*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 17563] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 - 
   z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^6 + z^4/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 17564] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 + a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 
   4*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 17565] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 9*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 17566] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 17567] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (8*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (7*z^4)/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (7*z^6)/a^10 - (11*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17568] -> 
  -1 + 4/a^8 - 17/a^6 + 20/a^4 - 5/a^2 - 6*z^2 + (8*z^2)/a^8 - (42*z^2)/a^6 + 
   (55*z^2)/a^4 - (8*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - (41*z^4)/a^6 + 
   (64*z^4)/a^4 + z^4/a^2 - 5*z^6 + z^6/a^8 - (18*z^6)/a^6 + (41*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 17569] -> 
  2/a^10 - 7/a^8 + 4/a^6 + 4/a^4 - 2/a^2 - 2*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (11*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (12*z^4)/a^6 + (19*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 17570] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) - z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (13*z^2)/a^4 - (3*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + 
   (25*z^4)/a^4 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 17571] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (11*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 17572] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (14*z^2)/a^10 + (19*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (33*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (26*z^6)/a^8 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 17573] -> a^(-10) - 6/a^8 + 7/a^6 - 
   a^(-4) - (9*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - (2*z^4)/a^8 + (18*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17574] -> 
  2 - 8*a^2 + 13*a^4 - 6*a^6 + 5*z^2 - 22*a^2*z^2 + 33*a^4*z^2 - 11*a^6*z^2 - 
   2*z^4 + (2*z^4)/a^2 - 17*a^2*z^4 + 33*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + 
   z^6/a^2 - 2*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17575] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + 
   (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17576] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 9*z^2 - 
   (2*z^2)/a^6 + (14*z^2)/a^4 - (20*z^2)/a^2 + 18*z^4 - (3*z^4)/a^6 + 
   (26*z^4)/a^4 - (48*z^4)/a^2 + 15*z^6 - (3*z^6)/a^6 + (24*z^6)/a^4 - 
   (51*z^6)/a^2 + 6*z^8 - z^8/a^6 + (11*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 17577] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 + 
   9*a^2*z^4 - 16*z^6 - z^6/a^6 + (6*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 17578] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17579] -> -1 + 3/a^8 - 13/a^6 + 15/a^4 - 3/a^2 - 
   4*z^2 + (6*z^2)/a^8 - (31*z^2)/a^6 + (41*z^2)/a^4 - (6*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (48*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (32*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17580] -> 12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 31*z^2 + 
   (5*z^2)/a^4 - (25*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 43*z^4 + 
   (4*z^4)/a^4 - (30*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 33*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 17581] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 17582] -> -1 + a^(-8) - 7/a^6 + 9/a^4 - a^(-2) - 
   3*z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + (18*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (14*z^4)/a^6 + (13*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17583] -> -1 + 2/a^8 - 10/a^6 + 12/a^4 - 2/a^2 - 
   4*z^2 + (3*z^2)/a^8 - (22*z^2)/a^6 + (33*z^2)/a^4 - (4*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (25*z^4)/a^6 + (43*z^4)/a^4 - 4*z^6 + z^6/a^8 - 
   (14*z^6)/a^6 + (31*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17584] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (14*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 17585] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 + 2*z^2 - 14*a^2*z^2 + 26*a^4*z^2 - 10*a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 12*a^2*z^4 + 31*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + 
   z^6/a^2 - a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17586] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 - z^2 - 3*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 
   3*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 17587] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 - 17*a^2*z^4 + 8*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 17588] -> 
  -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - a^4*z^2 + 27*a^8*z^2 - 21*a^10*z^2 + 
   3*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 + 26*a^8*z^4 - 14*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 7*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 17589] -> 
  14 - 4/a^2 - 14*a^2 + 5*a^4 + 38*z^2 - (7*z^2)/a^2 - 52*a^2*z^2 + 
   20*a^4*z^2 + 48*z^4 - (6*z^4)/a^2 - 84*a^2*z^4 + 29*a^4*z^4 + 34*z^6 - 
   (4*z^6)/a^2 - 73*a^2*z^6 + 20*a^4*z^6 + 13*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 17590] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 
   13*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - 18*z^4 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 - 19*a^2*z^4 + 10*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 17591] -> 
  -2/a^10 + 9/a^8 - 12/a^6 + 4/a^4 + 2/a^2 - (5*z^2)/a^10 + (26*z^2)/a^8 - 
   (32*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (45*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (34*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17592] -> 1 - a^(-10) + 3/a^8 - 5/a^4 + 3/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - 
   (19*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17593] -> -2/a^14 + 10/a^12 - 16/a^10 + 7/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (24*z^2)/a^12 - (41*z^2)/a^10 + (18*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (29*z^4)/a^12 - (49*z^4)/a^10 + 
   (13*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (34*z^6)/a^10 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 17594] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (10*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (9*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17595] -> -a^(-18) + 7/a^16 - 13/a^14 + 4/a^12 + 
   4/a^10 + (8*z^2)/a^16 - (33*z^2)/a^14 + (18*z^2)/a^12 + (19*z^2)/a^10 + 
   z^2/a^8 - (25*z^4)/a^14 + (32*z^4)/a^12 + (31*z^4)/a^10 + (3*z^4)/a^8 - 
   z^6/a^16 - (4*z^6)/a^14 + (24*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + 
   z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 17596] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   (4*z^2)/a^12 + (5*z^2)/a^10 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (3*z^4)/a^12 + (4*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17597] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - (9*z^4)/a^6 - 
   (16*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (9*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 17598] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 19*z^2 - (6*z^2)/a^6 + (33*z^2)/a^4 - 
   (48*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + (52*z^4)/a^4 - (84*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 17599] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 
   8*z^2 - (3*z^2)/a^6 + (16*z^2)/a^4 - (15*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^4 - (16*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 17600] -> 
  4 - a^(-8) + 3/a^6 - 5/a^2 + 10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (3*z^2)/a^4 - (18*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 17601] -> 
  -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 2*a^2 - 5*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 17602] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 4*z^2 - 2*a^2*z^2 + 25*a^4*z^2 - 12*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 30*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17603] -> 
  7 - 3/a^2 - 3*a^2 + 16*z^2 + z^2/a^6 - (5*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 
   19*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 17604] -> 
  21 + 2/a^4 - 13/a^2 - 9*a^2 + 70*z^2 + (7*z^2)/a^4 - (43*z^2)/a^2 - 
   27*a^2*z^2 + 100*z^4 + (7*z^4)/a^4 - (54*z^4)/a^2 - 33*a^2*z^4 + 79*z^6 + 
   (4*z^6)/a^4 - (36*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 17605] -> 3/a^8 - 15/a^6 + 20/a^4 - 7/a^2 + 
   (6*z^2)/a^8 - (41*z^2)/a^6 + (67*z^2)/a^4 - (25*z^2)/a^2 + (6*z^4)/a^8 - 
   (51*z^4)/a^6 + (98*z^4)/a^4 - (33*z^4)/a^2 + (4*z^6)/a^8 - (35*z^6)/a^6 + 
   (79*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 17606] -> -3 + a^(-8) - 5/a^6 + 3/a^4 + 5/a^2 - 
   10*z^2 + (2*z^2)/a^8 - (13*z^2)/a^6 + (11*z^2)/a^4 + (16*z^2)/a^2 - 
   11*z^4 + (2*z^4)/a^8 - (15*z^4)/a^6 + (17*z^4)/a^4 + (23*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (13*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17607] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 
   4*a^2*z^2 + 16*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + z^4/a^2 + 6*a^2*z^4 + 
   24*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 17608] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 17609] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (14*z^2)/a^2 + 2*a^2*z^2 - z^4 - (3*z^4)/a^6 + (20*z^4)/a^4 - 
   (26*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (24*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 17610] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (13*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17611] -> -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 
   6/a^10 + (7*z^2)/a^16 - (26*z^2)/a^14 + (8*z^2)/a^12 + (21*z^2)/a^10 + 
   (2*z^2)/a^8 - (21*z^4)/a^14 + (24*z^4)/a^12 + (29*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (20*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 17612] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + 
   z^2/a^16 - (8*z^2)/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + (8*z^4)/a^12 + (12*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 17613] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - (3*z^2)/a^10 + (16*z^2)/a^8 - 
   (23*z^2)/a^6 + (11*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + (22*z^4)/a^8 - 
   (35*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (27*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17614] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (5*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17615] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 4*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17616] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 12*z^2 - 
   (4*z^2)/a^6 + (21*z^2)/a^4 - (30*z^2)/a^2 + 19*z^4 - (6*z^4)/a^6 + 
   (35*z^4)/a^4 - (56*z^4)/a^2 + 15*z^6 - (4*z^6)/a^6 + (29*z^6)/a^4 - 
   (53*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 17617] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17618] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 4*z^2 - z^2/a^2 + 9*a^2*z^2 + 7*a^4*z^2 - 
   5*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17619] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 11*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 18*z^4 + z^4/a^6 - (5*z^4)/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17620] -> 26 + 3/a^4 - 17/a^2 - 11*a^2 + 88*z^2 + 
   (9*z^2)/a^4 - (55*z^2)/a^2 - 34*a^2*z^2 + 128*z^4 + (10*z^4)/a^4 - 
   (71*z^4)/a^2 - 42*a^2*z^4 + 99*z^6 + (5*z^6)/a^4 - (46*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 17621] -> 
  -2/a^2 + 8*a^2 - 5*a^4 + 7*z^2 + (2*z^2)/a^4 - (12*z^2)/a^2 + 23*a^2*z^2 - 
   13*a^4*z^2 + 16*z^4 + (3*z^4)/a^4 - (17*z^4)/a^2 + 30*a^2*z^4 - 
   13*a^4*z^4 + 14*z^6 + z^6/a^4 - (10*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 17622] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + (25*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 17623] -> 
  7 - 3/a^2 - 3*a^2 + 29*z^2 + (2*z^2)/a^4 - (16*z^2)/a^2 - 12*a^2*z^2 + 
   53*z^4 + (3*z^4)/a^4 - (27*z^4)/a^2 - 19*a^2*z^4 + 52*z^6 + (3*z^6)/a^4 - 
   (24*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 17624] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17625] -> 14 + a^(-6) - 3/a^4 - 4/a^2 - 
   7*a^2 + 36*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 - (3*z^2)/a^2 - 17*a^2*z^2 + 
   40*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 17626] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 12*z^2 + z^2/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 17627] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17628] -> -1 - a^(-8) + a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17629] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 + 
   3*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17630] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 
   3*a^4 + a^6 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 17631] -> 
  -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 11*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 17632] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^8 + z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17633] -> 
  -7 + 2/a^6 - 9/a^4 + 13/a^2 + 3*a^2 - a^4 - 19*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (29*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (28*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17634] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - a^4*z^2 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 17635] -> -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (7*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 + (22*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 17636] -> 
  -1 + a^(-10) - 3/a^8 + 3/a^4 + a^(-2) - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 17637] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17638] -> -3 + a^(-2) + 2*a^2 + 4*a^4 - 3*a^6 - 
   9*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + 
   z^4/a^4 + 5*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 17639] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   20*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17640] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (16*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (18*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17641] -> 2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (18*z^2)/a^10 + (17*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (15*z^4)/a^10 + (22*z^4)/a^8 + (14*z^4)/a^6 - 
   (3*z^4)/a^2 - (4*z^6)/a^10 + (13*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17642] -> 3/a^12 - 10/a^10 + 8/a^8 + (7*z^2)/a^12 - 
   (30*z^2)/a^10 + (29*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (5*z^4)/a^12 - 
   (34*z^4)/a^10 + (43*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (17*z^6)/a^10 + (33*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17643] -> 2/a^8 - 6/a^6 + 5/a^4 - 4*z^2 + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (17*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (26*z^4)/a^6 + (29*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17644] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (14*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17645] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 17646] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (10*z^4)/a^8 - 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17647] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17648] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 17649] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17650] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (18*z^2)/a^10 + 
   (20*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (21*z^4)/a^10 + 
   (31*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (25*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17651] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   z^2/a^12 - (8*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17652] -> 3 - a^(-2) - a^2 + 12*z^2 - (4*z^2)/a^2 - 
   10*a^2*z^2 + 3*a^4*z^2 + 27*z^4 - (6*z^4)/a^2 - 31*a^2*z^4 + 11*a^4*z^4 + 
   27*z^6 - (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 
   26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 17653] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 7*z^2 - 
   (2*z^2)/a^6 + (12*z^2)/a^4 - (16*z^2)/a^2 + 15*z^4 - (5*z^4)/a^6 + 
   (27*z^4)/a^4 - (42*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - 
   (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 17654] -> 
  -a^6 + 8*a^8 - 7*a^10 + a^12 - a^4*z^2 - 4*a^6*z^2 + 36*a^8*z^2 - 
   25*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 - 3*a^6*z^4 + 51*a^8*z^4 - 
   30*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 35*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 17655] -> 
  6*a^8 - 6*a^10 + a^12 - 2*a^4*z^2 + 7*a^6*z^2 + 14*a^8*z^2 - 12*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 12*a^6*z^4 + 12*a^8*z^4 - 9*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 17656] -> 
  -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (4*z^2)/a^10 + (19*z^2)/a^8 - 
   (21*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - 
   (33*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17657] -> 1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (11*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17658] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17659] -> -a^(-14) + 6/a^12 - 11/a^10 + 5/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (18*z^2)/a^12 - (29*z^2)/a^10 + (13*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (36*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (28*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 17660] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (3*z^2)/a^16 - (22*z^2)/a^14 + 
   (13*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (17*z^4)/a^14 + 
   (28*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 17661] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17662] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (16*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (13*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17663] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (12*z^2)/a^14 + 
   (6*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (5*z^4)/a^14 + (12*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 17664] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17665] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - 
   z^4/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17666] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   8*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17667] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 
   z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 17668] -> 9 - a^(-4) - 2/a^2 - 6*a^2 + a^4 + 19*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 14*a^2*z^2 + 3*a^4*z^2 + 15*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 9*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 17669] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 20*z^2 - z^2/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 
   5*a^4*z^2 - 25*z^4 + z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17670] -> 
  -6 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + 3*a^2 - 17*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (19*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17671] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (3*z^2)/a^16 - (17*z^2)/a^14 + 
   (2*z^2)/a^12 + (24*z^2)/a^10 + z^2/a^8 - z^4/a^16 - (15*z^4)/a^14 + 
   (18*z^4)/a^12 + (35*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (18*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 17672] -> 
  -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 9*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17673] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) - 
   2*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (20*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17674] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 17675] -> 
  6 - 2/a^6 + 9/a^4 - 12/a^2 + 13*z^2 - (7*z^2)/a^6 + (29*z^2)/a^4 - 
   (38*z^2)/a^2 + 17*z^4 - (9*z^4)/a^6 + (42*z^4)/a^4 - (56*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (50*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 17676] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 
   4*a^2 - 17*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 
   18*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 17677] -> 
  -2/a^10 + 8/a^8 - 12/a^6 + 7/a^4 - (6*z^2)/a^10 + (27*z^2)/a^8 - 
   (37*z^2)/a^6 + (17*z^2)/a^4 - (8*z^4)/a^10 + (40*z^4)/a^8 - (57*z^4)/a^6 + 
   (19*z^4)/a^4 - (5*z^6)/a^10 + (32*z^6)/a^8 - (51*z^6)/a^6 + (14*z^6)/a^4 - 
   z^8/a^10 + (13*z^8)/a^8 - (27*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - 
   (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 17678] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17679] -> -3 + a^(-2) + 4*a^2 - a^6 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 17680] -> -6 - 2/a^4 + 7/a^2 + 2*a^2 - a^4 + a^6 - 
   18*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17681] -> 
  -1 - a^(-8) + 5/a^6 - 7/a^4 + 4/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (21*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17682] -> 
  2 - 10*a^2 + 17*a^4 - 8*a^6 + 7*z^2 - 35*a^2*z^2 + 55*a^4*z^2 - 
   20*a^6*z^2 + 9*z^4 - 51*a^2*z^4 + 81*a^4*z^4 - 26*a^6*z^4 + 5*z^6 - 
   38*a^2*z^6 + 69*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 
   7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 17683] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 22*z^2 + 
   (4*z^2)/a^4 - (17*z^2)/a^2 - 8*a^2*z^2 + 44*z^4 + (6*z^4)/a^4 - 
   (31*z^4)/a^2 - 15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (28*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 17684] -> 
  21 + 2/a^4 - 13/a^2 - 9*a^2 + 66*z^2 + (7*z^2)/a^4 - (41*z^2)/a^2 - 
   25*a^2*z^2 + 94*z^4 + (9*z^4)/a^4 - (55*z^4)/a^2 - 30*a^2*z^4 + 75*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 17685] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + 
   (3*z^2)/a^8 - (21*z^2)/a^6 + (36*z^2)/a^4 - (13*z^2)/a^2 + (5*z^4)/a^8 - 
   (33*z^4)/a^6 + (59*z^4)/a^4 - (20*z^4)/a^2 + (4*z^6)/a^8 - (28*z^6)/a^6 + 
   (54*z^6)/a^4 - (15*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (28*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 17686] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 
   25*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 26*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - z^4/a^4 + (11*z^4)/a^2 + 26*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17687] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17688] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + 2*a^2 - a^4 + a^6 - 9*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 17689] -> -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 + 18*a^4*z^2 - 9*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17690] -> 
  9 + a^(-6) - 4/a^4 - 5*a^2 + 25*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   z^2/a^2 - 12*a^2*z^2 + 30*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17691] -> -2 + a^(-4) + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 17692] -> 
  -4 + 3/a^2 + a^2 + a^4 - 6*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 17693] -> 
  2/a^10 - 7/a^8 + 8/a^6 - 4/a^4 + 2/a^2 - 2*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (23*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17694] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17695] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 - (3*z^4)/a^8 + (24*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (15*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17696] -> -a^(-18) + 6/a^16 - 10/a^14 + 2/a^12 + 
   3/a^10 + a^(-8) + (6*z^2)/a^16 - (22*z^2)/a^14 + (9*z^2)/a^12 + 
   (13*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (12*z^4)/a^14 + (14*z^4)/a^12 + 
   (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 17697] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17698] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 3*z^2 + 
   (5*z^2)/a^8 - (25*z^2)/a^6 + (33*z^2)/a^4 - (6*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (29*z^4)/a^6 + (43*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (31*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17699] -> 3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 - 4*z^2 + 
   (6*z^2)/a^8 - (32*z^2)/a^6 + (43*z^2)/a^4 - (8*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (33*z^4)/a^6 + (51*z^4)/a^4 + z^4/a^2 - 5*z^6 + z^6/a^8 - 
   (16*z^6)/a^6 + (35*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17700] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   6*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (22*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 17701] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + a^(-4) - (5*z^2)/a^12 + 
   (12*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - (7*z^6)/a^8 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17702] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 12*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17703] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 17704] -> -1 + a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 + 
   a^(-2) + z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17705] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - z^2 + z^2/a^12 - (7*z^2)/a^10 + 
   (5*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4 - (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 17706] -> 2/a^12 - 5/a^10 + 5/a^6 - 
   a^(-4) + (3*z^2)/a^12 - (11*z^2)/a^10 + z^2/a^8 + (16*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + (5*z^4)/a^8 + (19*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17707] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17708] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - z^2 + 
   z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4 - 
   (3*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 17709] -> 
  3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 17710] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 4*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 17711] -> 3 - a^(-2) - a^2 + 12*z^2 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 - 3*a^4*z^2 + 26*z^4 + (3*z^4)/a^4 - (20*z^4)/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 + 26*z^6 + z^6/a^4 - (14*z^6)/a^2 + 8*a^2*z^6 - 
   5*a^4*z^6 + 12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + 
   a^2*z^10, Knot[15, Alternating, 17712] -> 3 - a^(-2) - a^2 + 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - 3*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 17713] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 5*z^2 - 
   z^2/a^2 - 12*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 + 2*z^4 + z^4/a^2 - 
   14*a^2*z^4 + 20*a^4*z^4 - 6*a^6*z^4 - 4*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17714] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17715] -> 3/a^12 - 11/a^10 + 10/a^8 - a^(-6) + 
   (7*z^2)/a^12 - (34*z^2)/a^10 + (38*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^4)/a^12 - (38*z^4)/a^10 + (55*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (18*z^6)/a^10 + (39*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 17716] -> 2/a^12 - 7/a^10 + 5/a^8 + 
   a^(-6) + (3*z^2)/a^12 - (14*z^2)/a^10 + (10*z^2)/a^8 + (10*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (10*z^4)/a^8 + (17*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17717] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (10*z^4)/a^8 + (18*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17718] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) - 
   z^2 + z^2/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 - z^4 - 
   (3*z^4)/a^10 + (12*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 17719] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 3*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + 
   (29*z^2)/a^4 - (5*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (29*z^4)/a^6 + 
   (42*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + (31*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 17720] -> 
  2 - 2/a^6 + 7/a^4 - 7/a^2 + a^2 - (5*z^2)/a^6 + (25*z^2)/a^4 - 
   (28*z^2)/a^2 + 6*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - 
   (44*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 17721] -> 
  -a^(-10) + 5/a^8 - 8/a^6 + 4/a^4 + a^(-2) - (4*z^2)/a^10 + (20*z^2)/a^8 - 
   (26*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (39*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 17722] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 13*z^2 - (2*z^2)/a^4 - 18*a^2*z^2 + 
   6*a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 21*a^2*z^4 + 7*a^4*z^4 - 
   z^6/a^4 + (7*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 17723] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - (3*z^2)/a^6 + (16*z^2)/a^4 - 
   (17*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (23*z^4)/a^4 - 
   (32*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - (28*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 17724] -> 
  3 - a^(-4) + 2/a^2 - 5*a^2 + a^4 + a^6 + 4*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 18*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 21*a^2*z^4 + 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17725] -> 4 - 2/a^6 + 9/a^4 - 11/a^2 + a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (28*z^2)/a^4 - (36*z^2)/a^2 + 6*a^2*z^2 - 5*z^4 - 
   (4*z^4)/a^6 + (32*z^4)/a^4 - (49*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (35*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 17726] -> 3 - a^(-8) + 3/a^6 + a^(-4) - 6/a^2 + a^2 + 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 
   z^4/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (20*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 17727] -> 
  1 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 17728] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 17729] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 17730] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + (2*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + 
   (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17731] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (15*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17732] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 - 4*z^2 + 
   (6*z^2)/a^8 - (29*z^2)/a^6 + (35*z^2)/a^4 - (5*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (32*z^4)/a^6 + (46*z^4)/a^4 + (2*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17733] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + (17*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + (21*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 17734] -> 
  13 + 4/a^4 - 12/a^2 - 4*a^2 + 29*z^2 + z^2/a^6 + (7*z^2)/a^4 - 
   (29*z^2)/a^2 - 8*a^2*z^2 + 27*z^4 + (2*z^4)/a^6 - (24*z^4)/a^2 - 
   7*a^2*z^4 + 14*z^6 + z^6/a^6 - (5*z^6)/a^4 - (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17735] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 2*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 17736] -> 2 - a^(-8) + 2/a^6 + 2/a^4 - 5/a^2 + a^2 + 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 - 
   z^4/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (19*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 17737] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - 
   (15*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17738] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 17739] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 17740] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17741] -> 
  15 - 4/a^2 - 15*a^2 + 4*a^4 + a^6 + 40*z^2 - (8*z^2)/a^2 - 47*a^2*z^2 + 
   5*a^4*z^2 + 7*a^6*z^2 + 42*z^4 - (5*z^4)/a^2 - 62*a^2*z^4 - 5*a^4*z^4 + 
   11*a^6*z^4 + 19*z^6 - z^6/a^2 - 43*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 + 
   3*z^8 - 15*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - 2*a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 17742] -> -2 - 2/a^4 + 6/a^2 - 3*a^2 + a^4 + a^6 - 
   4*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 - 16*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   7*z^4 - z^4/a^4 + (11*z^4)/a^2 - 23*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 - 14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 
   3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17743] -> 
  2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - z^2 - (3*z^2)/a^6 + (17*z^2)/a^4 - 
   (21*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (23*z^4)/a^4 - 
   (33*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - (28*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 17744] -> 
  -3*a^2 + 13*a^4 - 13*a^6 + 4*a^8 - 2*z^2 - 4*a^2*z^2 + 30*a^4*z^2 - 
   31*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 23*a^4*z^4 - 31*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 7*a^2*z^6 + 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 17745] -> 3 - 4*a^2 + 2*a^4 + 12*z^2 - (3*z^2)/a^2 - 
   17*a^2*z^2 + 6*a^4*z^2 + 13*z^4 - z^4/a^4 - 22*a^2*z^4 + 7*a^4*z^4 + 
   3*z^6 - z^6/a^4 + (4*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 17746] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17747] -> 
  a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (14*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   (9*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17748] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17749] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17750] -> 
  6 - a^(-4) + a^(-2) - 8*a^2 + 2*a^4 + a^6 + 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 20*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 21*a^2*z^4 + 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17751] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - z^2 - 
   z^2/a^2 + 5*a^2*z^2 + 6*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 5*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17752] -> 1 - 2/a^4 + 5/a^2 - 6*a^2 + 2*a^4 + a^6 - 
   z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 18*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   6*z^4 - z^4/a^4 + (11*z^4)/a^2 - 23*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 - 14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 
   3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17753] -> 
  -a^(-6) + 2/a^4 + a^(-2) - 3*a^2 + a^4 + a^6 - 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^4 - 8*a^2*z^4 + a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 17754] -> -2 + 6*a^2 - a^4 - 4*a^6 + 
   2*a^8 - 3*z^2 - z^2/a^2 + 12*a^2*z^2 - a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 
   z^4 - z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 17755] -> 1 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17756] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - 5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17757] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 17758] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - z^4/a^10 - 
   (7*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17759] -> 2/a^12 - 8/a^10 + 7/a^8 + (2*z^2)/a^12 - 
   (16*z^2)/a^10 + (20*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (21*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (11*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17760] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (4*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 17761] -> -3 - a^(-8) + 5/a^6 - 7/a^4 + 
   5/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (23*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17762] -> 
  2 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 17763] -> -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (14*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (20*z^4)/a^6 - 
   (20*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17764] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17765] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   21*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17766] -> 2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 17767] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 5*z^2 - 
   (3*z^2)/a^6 + (18*z^2)/a^4 - (21*z^2)/a^2 + 7*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^6 + (24*z^4)/a^4 - (35*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (14*z^6)/a^4 - (29*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 17768] -> -3 - a^(-8) + 4/a^6 - 4/a^4 + 3/a^2 + a^2 + 
   a^4 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 17769] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^10 + (13*z^2)/a^8 - 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - 
   (26*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (25*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17770] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17771] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*z^4 - (5*z^4)/a^6 + (19*z^4)/a^4 - (22*z^4)/a^2 + 9*z^6 - 
   (4*z^6)/a^6 + (22*z^6)/a^4 - (29*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 17772] -> -4 - a^(-8) + 2/a^6 - 2/a^4 + 
   4/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17773] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 46*z^2 + 
   (4*z^2)/a^4 - (28*z^2)/a^2 - 19*a^2*z^2 + 81*z^4 + (6*z^4)/a^4 - 
   (44*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - (34*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 17774] -> 
  -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17775] -> -2 + 5*a^2 - a^4 - a^6 - z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17776] -> -2*a^2 + 7*a^4 - 4*a^6 + 2*z^2 - 
   19*a^2*z^2 + 38*a^4*z^2 - 16*a^6*z^2 + 5*z^4 - 37*a^2*z^4 + 71*a^4*z^4 - 
   25*a^6*z^4 + 4*z^6 - 32*a^2*z^6 + 67*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 17777] -> a^(-8) - 5/a^6 + 6/a^4 - 
   a^(-2) + (5*z^2)/a^8 - (22*z^2)/a^6 + (30*z^2)/a^4 - (10*z^2)/a^2 + 
   (6*z^4)/a^8 - (36*z^4)/a^6 + (55*z^4)/a^4 - (19*z^4)/a^2 + (4*z^6)/a^8 - 
   (29*z^6)/a^6 + (53*z^6)/a^4 - (15*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + 
   (28*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 17778] -> 11 - 5/a^2 - 5*a^2 + 39*z^2 + 
   (4*z^2)/a^4 - (23*z^2)/a^2 - 15*a^2*z^2 + 61*z^4 + (6*z^4)/a^4 - 
   (36*z^4)/a^2 - 20*a^2*z^4 + 54*z^6 + (4*z^6)/a^4 - (29*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 17779] -> 
  2 - 2/a^6 + 9/a^4 - 10/a^2 + 2*a^2 - 3*z^2 - (5*z^2)/a^6 + (29*z^2)/a^4 - 
   (35*z^2)/a^2 + 9*a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + (34*z^4)/a^4 - 
   (51*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - z^6/a^6 + (17*z^6)/a^4 - 
   (38*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - (14*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 17780] -> 
  1 - a^(-8) + 3/a^6 + a^(-4) - 5/a^2 + 2*a^2 - z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (17*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 - (22*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 17781] -> -2/a^6 + 8/a^4 - 7/a^2 + a^2 + a^4 - 6*z^2 - 
   (3*z^2)/a^6 + (17*z^2)/a^4 - (17*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 12*z^4 - 
   z^4/a^6 + (13*z^4)/a^4 - (18*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + 
   (3*z^6)/a^4 - (10*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - (2*z^8)/a^2 - 
   a^2*z^8, Knot[15, Alternating, 17782] -> -1 - a^(-8) + 3/a^6 - 2/a^2 + 
   a^2 + a^4 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^2 + 2*a^4*z^2 - 
   6*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 17783] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (4*z^2)/a^10 + (20*z^2)/a^8 - (20*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (25*z^4)/a^8 - (34*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (29*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 17784] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - 
   a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (9*z^2)/a^6 - 
   (4*z^2)/a^4 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (13*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17785] -> 3 - a^(-2) - a^2 + 19*z^2 + (4*z^2)/a^4 - 
   (15*z^2)/a^2 - 7*a^2*z^2 + 43*z^4 + (6*z^4)/a^4 - (31*z^4)/a^2 - 
   15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (28*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 17786] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 8*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (20*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17787] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17788] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 - 
   z^2/a^2 + (5*z^4)/a^8 - (20*z^4)/a^6 + (21*z^4)/a^4 - (7*z^4)/a^2 + 
   (4*z^6)/a^8 - (22*z^6)/a^6 + (29*z^6)/a^4 - (9*z^6)/a^2 + z^8/a^8 - 
   (11*z^8)/a^6 + (20*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 17789] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 38*z^2 + (7*z^2)/a^4 - (29*z^2)/a^2 - 
   13*a^2*z^2 + 56*z^4 + (9*z^4)/a^4 - (42*z^4)/a^2 - 17*a^2*z^4 + 50*z^6 + 
   (5*z^6)/a^4 - (33*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 17790] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 4*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 + 13*z^4 - (2*z^4)/a^2 - 21*a^2*z^4 + 
   10*a^4*z^4 + 21*z^6 - (3*z^6)/a^2 - 39*a^2*z^6 + 13*a^4*z^6 + 11*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 17791] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   23*z^2 + z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   27*z^4 + z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 17792] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 + 9*z^6 - 
   (3*z^6)/a^6 + (17*z^6)/a^4 - (26*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (10*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 17793] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + 
   a^6 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17794] -> 20 + 3/a^4 - 14/a^2 - 8*a^2 + 63*z^2 + 
   (9*z^2)/a^4 - (44*z^2)/a^2 - 23*a^2*z^2 + 91*z^4 + (10*z^4)/a^4 - 
   (58*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 17795] -> 
  3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + (8*z^2)/a^8 - (36*z^2)/a^6 + 
   (49*z^2)/a^4 - (16*z^2)/a^2 + (9*z^4)/a^8 - (47*z^4)/a^6 + (68*z^4)/a^4 - 
   (21*z^4)/a^2 + (5*z^6)/a^8 - (34*z^6)/a^6 + (56*z^6)/a^4 - (15*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (28*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 17796] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + a^(-4) - z^2/a^14 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (7*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 17797] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - 
   a^2 + a^4 + z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^6*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 17798] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 16*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17799] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 
   z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 17800] -> 
  -2 + 3*a^2 + 6*a^4 - 9*a^6 + 3*a^8 - 5*z^2 + 11*a^2*z^2 + 11*a^4*z^2 - 
   23*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 4*a^4*z^4 - 27*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 17801] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17802] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 8*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 16*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 17803] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + 
   a^2 + a^4 - 8*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 17804] -> -1 + a^(-10) - 3/a^8 - 2/a^6 + 7/a^4 - 
   a^(-2) - 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^4 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 17805] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - 
   (5*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17806] -> 
  1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 3*z^2 - z^2/a^10 + (14*z^2)/a^6 - 
   (16*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17807] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17808] -> -1 - a^2 + 11*a^4 - 11*a^6 + 3*a^8 - 3*z^2 + 
   26*a^4*z^2 - 27*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 20*a^4*z^4 - 
   29*a^6*z^4 + 9*a^8*z^4 - z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 17*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 17809] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   9*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (10*z^2)/a^4 + (23*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 - (3*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17810] -> -a^4 + a^6 + 9*a^8 - 11*a^10 + 3*a^12 - 
   6*a^4*z^2 + 10*a^6*z^2 + 24*a^8*z^2 - 22*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   7*a^4*z^4 + 19*a^6*z^4 + 24*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 14*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 17811] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 
   2*a^4 + 4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 15*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - z^4 - z^4/a^4 + (8*z^4)/a^2 - 19*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   2*z^8 - 3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17812] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 17813] -> 
  -4 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 + a^2 + a^4 - 6*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17814] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (18*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17815] -> 3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + 
   (8*z^2)/a^8 - (40*z^2)/a^6 + (57*z^2)/a^4 - (20*z^2)/a^2 + (9*z^4)/a^8 - 
   (55*z^4)/a^6 + (88*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 17816] -> -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 
   10*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + (5*z^2)/a^4 + (19*z^2)/a^2 - 
   11*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + (13*z^4)/a^4 + (24*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17817] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17818] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 17819] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   8*z^2 - z^2/a^6 + (4*z^2)/a^4 + 7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 17820] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - (2*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 17821] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 5*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17822] -> -4 + 12*a^2 - 8*a^4 + a^8 - 8*z^2 + 
   26*a^2*z^2 - 14*a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 - 5*z^4 + 24*a^2*z^4 - 
   13*a^4*z^4 - 18*a^6*z^4 + 9*a^8*z^4 - z^6 + 11*a^2*z^6 - 10*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17823] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 9*z^2 - (3*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 9*a^4*z^4 - 
   4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17824] -> 
  -2 + 3*a^2 + 6*a^4 - 9*a^6 + 3*a^8 - 5*z^2 + 9*a^2*z^2 + 15*a^4*z^2 - 
   25*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 8*a^4*z^4 - 28*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 17825] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 12*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (16*z^2)/a^4 + (32*z^2)/a^2 - 11*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 - (6*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17826] -> -2*a^4 + 5*a^6 + 4*a^8 - 9*a^10 + 3*a^12 - 
   9*a^4*z^2 + 20*a^6*z^2 + 13*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 26*a^6*z^4 + 17*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 16*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 17827] -> 25 + 4/a^4 - 18/a^2 - 10*a^2 + 
   76*z^2 + (12*z^2)/a^4 - (55*z^2)/a^2 - 27*a^2*z^2 + 106*z^4 + 
   (13*z^4)/a^4 - (71*z^4)/a^2 - 33*a^2*z^4 + 81*z^6 + (6*z^6)/a^4 - 
   (46*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 17828] -> 
  4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + (10*z^2)/a^8 - (48*z^2)/a^6 + 
   (67*z^2)/a^4 - (23*z^2)/a^2 + (12*z^4)/a^8 - (64*z^4)/a^6 + (96*z^4)/a^4 - 
   (30*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (76*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 17829] -> 
  -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (13*z^2)/a^4 + (15*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (15*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 17830] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (19*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (20*z^4)/a^6 - (23*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 17831] -> 
  -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 25*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 32*z^4 - (3*z^4)/a^4 + (20*z^4)/a^2 + 
   22*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17832] -> 2/a^14 - 7/a^12 + 7/a^10 - 4/a^8 + 3/a^6 - 
   (10*z^2)/a^12 + (21*z^2)/a^10 - (13*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (18*z^4)/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 17833] -> 
  a^(-14) - 3/a^12 + a^(-10) + a^(-8) + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + 
   (5*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^12 + (4*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 17834] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 8*z^2 + 
   26*a^2*z^2 - 18*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 24*a^2*z^4 - 
   17*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 - z^6 + 11*a^2*z^6 - 11*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17835] -> 
  5 - 2/a^2 - 3*a^2 + 3*a^4 - 3*a^6 + a^8 + 9*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   7*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17836] -> 5 - 2/a^2 - a^2 - 3*a^4 + 3*a^6 - a^8 + 
   9*z^2 - (3*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - z^4/a^2 - 
   a^2*z^4 - 10*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17837] -> -a^(-4) + 2/a^2 - z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 - a^6*z^2 + a^8*z^2 + (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 17838] -> 2/a^10 - 10/a^8 + 14/a^6 - 7/a^4 + 2/a^2 - 
   (12*z^2)/a^8 + (32*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + 
   z^4/a^8 + (23*z^4)/a^6 - (27*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 + (3*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17839] -> 1 - a^(-8) - a^(-6) + 5/a^4 - 3/a^2 + 
   3*z^2 - z^2/a^10 + z^2/a^8 + (9*z^2)/a^4 - (8*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 17840] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17841] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17842] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17843] -> -a^(-16) + 6/a^14 - 11/a^12 + 6/a^10 - 
   a^(-8) + 2/a^6 + (4*z^2)/a^14 - (18*z^2)/a^12 + (18*z^2)/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (2*z^4)/a^14 - (3*z^4)/a^12 + (17*z^4)/a^10 - 
   (8*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (6*z^6)/a^12 + (3*z^6)/a^10 - 
   (9*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - (3*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 17844] -> 
  2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (11*z^2)/a^10 + (15*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 + (11*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - (2*z^6)/a^10 + z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[15, Alternating, 17845] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 17846] -> -4 - 2/a^4 + 6/a^2 + a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 17847] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 13*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 13*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 17848] -> 
  1 - a^(-2) + 2*a^2 - a^6 - z^2/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 17849] -> 2 + 2/a^6 - 9/a^4 + 9/a^2 - 3*a^2 + 12*z^2 + 
   (4*z^2)/a^6 - (19*z^2)/a^4 + (18*z^2)/a^2 - 9*a^2*z^2 + 21*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (18*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 17850] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 17*z^2 + z^2/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 16*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 17851] -> 
  -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 5/a^2 - 5*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (20*z^2)/a^6 - (23*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + (26*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17852] -> 
  1 - a^(-2) + 2*a^2 + a^4 - 3*a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17853] -> 
  -2 - a^(-10) + 2/a^8 - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + 
   z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 17854] -> 
  1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17855] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 17856] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   2*z^2 - z^2/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 17857] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - a^(-4) + a^(-2) - z^2/a^12 + 
   (7*z^2)/a^10 - (16*z^2)/a^8 + (18*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (24*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 17858] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17859] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 
   2/a^2 - (7*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (13*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 17860] -> -6 - a^(-6) + 2/a^4 + 2/a^2 + 6*a^2 - 
   3*a^4 + a^6 - 16*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^6 + (4*z^4)/a^4 + 14*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 17861] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - 
   z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - 
   (22*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17862] -> -4 - a^(-8) + 4/a^6 - 8/a^4 + 
   9/a^2 + a^2 - 12*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + 
   (24*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + 
   (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17863] -> 2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 - 
   (8*z^2)/a^12 + (11*z^2)/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 - (3*z^4)/a^14 + 
   (5*z^4)/a^12 + (8*z^4)/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + 
   (8*z^6)/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - 
   (4*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 17864] -> a^(-14) - 2/a^12 - 2/a^10 + 4/a^8 - a^(-6) + 
   a^(-4) - z^2/a^14 - z^2/a^12 - z^2/a^10 + (8*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (3*z^4)/a^10 + (2*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - (4*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 17865] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17866] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 9*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 17867] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 17868] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 + z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 + 3*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (12*z^6)/a^4 - (3*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 17869] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17870] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 11*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17871] -> -2 + 4*a^2 + 2*a^4 - 4*a^6 + 
   a^8 - 2*z^2 - z^2/a^2 + 9*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17872] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - 
   (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17873] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - z^2 - z^2/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 + 10*a^2*z^4 - 17*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17874] -> -2*a^4 + 6*a^6 - 4*a^10 + a^12 - 2*a^2*z^2 - 
   a^4*z^2 + 15*a^6*z^2 + 4*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 3*a^4*z^4 + 15*a^6*z^4 + 6*a^8*z^4 - 5*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 7*a^6*z^6 + 4*a^8*z^6, Knot[15, Alternating, 17875] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17876] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^4 + 
   a^6 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 17877] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 
   15*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 - 17*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 + 12*a^4*z^4 - 7*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 17878] -> 
  4 + a^(-6) - 5/a^4 + 4/a^2 - 3*a^2 + 11*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 - 7*a^2*z^2 + 14*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (16*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 17879] -> -2 + 4*a^2 + a^4 - 2*a^6 - 5*z^2 + 
   10*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 
   2*a^4*z^4 - 11*a^6*z^4 + 5*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 17880] -> 
  2 - a^(-2) - 2*a^2 + 6*a^4 - 5*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 13*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 8*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17881] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 17882] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 17883] -> -4 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + 
   2*a^2 - 13*z^2 - z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (22*z^4)/a^4 + (25*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17884] -> -4 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + 
   2*a^2 - 12*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (25*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (31*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 17885] -> 1 - a^(-8) + 4/a^6 - 4/a^4 + 
   a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 17886] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) - 2*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (23*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 17887] -> 
  -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 2/a^2 - z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 17888] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (19*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (22*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17889] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + z^4/a^4 - 
   z^4/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   10*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 17890] -> -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17891] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 - z^2/a^6 - z^2/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 
   22*z^4 - z^4/a^6 + (3*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 
   12*z^6 + (2*z^6)/a^4 + z^6/a^2 + a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 17892] -> -3 - 2/a^4 + 6/a^2 - a^2 + a^6 - 13*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 - 5*a^4*z^2 + 4*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17893] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + 
   2*a^2 - a^4 + a^6 - 10*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 17894] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 - z^2/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 13*a^2*z^4 - 18*a^4*z^4 + 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17895] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (19*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (14*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 - z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 17896] -> -a^(-10) + 2/a^8 - 3/a^4 + 
   3/a^2 - z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 17897] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   12*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17898] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   10*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 17899] -> 1 - a^(-2) + 3*a^2 - a^4 - 2*a^6 + a^8 + 
   3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17900] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 
   2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 17901] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (13*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 17902] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (12*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + 
   (11*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (7*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17903] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17904] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (15*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 17905] -> a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 
   7/a^6 - (5*z^2)/a^12 + (18*z^2)/a^10 - (27*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4/a^12 + (7*z^4)/a^10 - (22*z^4)/a^8 + (23*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (6*z^6)/a^8 + (13*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 17906] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 + 
   (8*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 - 
   z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17907] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17908] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^12 + (6*z^2)/a^10 - 
   (12*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - (2*z^4)/a^10 - 
   (6*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17909] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 17910] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 17911] -> 
  5 - 2/a^2 - 2*a^2 + a^4 - 2*a^6 + a^8 + 9*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 
   8*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17912] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 
   (2*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 17913] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (18*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17914] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   16*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17915] -> 1 - a^(-2) + 3*a^2 - a^4 - 2*a^6 + a^8 + 
   3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 17916] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17917] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + z^2/a^10 - z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 17918] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   13*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - z^4/a^2 + 11*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 17919] -> 
  -a^2 + a^4 + 5*a^6 - 3*a^8 - 2*a^10 + a^12 - 4*a^2*z^2 + 4*a^4*z^2 + 
   14*a^6*z^2 - 2*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   6*a^4*z^4 + 14*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 17920] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 - 
   3*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + (3*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 17921] -> 6 + 2/a^6 - 7/a^4 + 4/a^2 - 4*a^2 + 17*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 - 10*a^2*z^2 + 21*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (19*z^4)/a^2 - 10*a^2*z^4 + 15*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 17922] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (17*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (19*z^4)/a^6 - (24*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 17923] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^4)/a^12 - (11*z^4)/a^10 + (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 17924] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + (4*z^2)/a^10 - (17*z^2)/a^8 + 
   (15*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (19*z^4)/a^6 + (14*z^4)/a^4 - (8*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (14*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 + 
   (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 17925] -> -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 
   2/a^2 - 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 + (9*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 17926] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 17927] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 10*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (24*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + 
   (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 17928] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 - 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17929] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 - 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   6*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 17930] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 17931] -> 3 - a^(-8) + 4/a^6 - 5/a^4 + 
   a^(-2) - a^2 + 5*z^2 + (6*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 
   3*z^4 + z^4/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 17932] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17933] -> -1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + a^2 - 4*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   a^4*z^2 - 3*z^4 - (5*z^4)/a^6 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 17934] -> 
  2 + a^(-10) - 6/a^8 + 12/a^6 - 9/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (11*z^2)/a^8 + (26*z^2)/a^6 - (18*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - (7*z^4)/a^8 + (23*z^4)/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 17935] -> 1 - a^(-8) + 2/a^6 + a^(-4) - 
   3/a^2 + a^2 - z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 17936] -> -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 
   2*a^6 - 20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 23*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17937] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   5*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 17938] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + 5*a^2*z^2 - 13*a^4*z^2 + 
   19*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 20*a^4*z^4 + 
   22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 17939] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 17940] -> 
  2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + a^14 + 8*a^6*z^2 - 6*a^8*z^2 + 
   16*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 9*a^8*z^4 + 
   16*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 17941] -> a^4 - a^6 + 3*a^8 - a^10 - a^12 + 
   3*a^4*z^2 + 5*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 17942] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 + 2*a^6*z^4 - 
   4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 17943] -> -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 
   8*z^2 + z^2/a^2 + 26*a^2*z^2 - 33*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 34*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 18*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17944] -> 
  2*a^2 - a^4 - 2*a^6 + 4*a^8 - 2*a^10 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17945] -> 
  -2/a^12 + 5/a^10 - 4/a^8 + a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (10*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17946] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 
   2/a^2 + (4*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 17947] -> 
  1 - a^(-10) + 5/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + z^2/a^8 + 
   (13*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (15*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 17948] -> 2 - a^(-8) + 5/a^6 - 8/a^4 + 
   4/a^2 - a^2 + 3*z^2 - z^2/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (6*z^4)/a^6 - (20*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 17949] -> 
  2 - 3/a^8 + 8/a^6 - 6/a^4 + 3*z^2 - (6*z^2)/a^8 + (20*z^2)/a^6 - 
   (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17950] -> -2/a^8 + 5/a^6 - 3/a^4 + a^2 - z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 17951] -> 
  -2 + 7*a^2 - 9*a^4 + 10*a^6 - 6*a^8 + a^10 - 5*z^2 + 17*a^2*z^2 - 
   21*a^4*z^2 + 24*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 
   22*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 
   13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 17952] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - 
   a^8 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17953] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 17954] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 17955] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17956] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 
   3*a^10 - a^12 + 3*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 17957] -> 2*a^2 - 5*a^4 + 10*a^6 - 
   10*a^8 + 6*a^10 - 2*a^12 + 5*a^2*z^2 - 13*a^4*z^2 + 24*a^6*z^2 - 
   22*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 
   22*a^6*z^4 - 24*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 
   12*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 17958] -> 1 - 2*a^2 + 4*a^4 - 3*a^6 + 
   a^8 + a^10 - a^12 + 2*z^2 - 5*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 - 
   5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 17959] -> -2 + a^(-2) + 5*a^2 - 8*a^4 + 
   8*a^6 - 3*a^8 - 8*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 22*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 25*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17960] -> -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 6*z^2 + 
   z^2/a^2 + 18*a^2*z^2 - 23*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17961] -> 
  -1 + 6*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 6*z^2 + z^2/a^2 + 18*a^2*z^2 - 
   25*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 8*z^4 + z^4/a^2 + 22*a^2*z^4 - 
   30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 17962] -> -3/a^14 + 7/a^12 - 5/a^10 - 2/a^8 + 4/a^6 - 
   (4*z^2)/a^14 + (21*z^2)/a^12 - (18*z^2)/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (18*z^4)/a^12 - (24*z^4)/a^10 - 
   (14*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (15*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 17963] -> -2/a^14 + 4/a^12 - 2/a^10 - 
   2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (9*z^2)/a^12 - (3*z^2)/a^10 - 
   (8*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (5*z^4)/a^10 - (13*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 17964] -> -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 
   2/a^4 - z^2/a^14 + (6*z^2)/a^12 + z^2/a^10 - (7*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 17965] -> -a^(-14) + 2/a^12 - 2/a^10 + 
   a^(-8) + a^(-2) + z^2 + (4*z^2)/a^12 - z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 17966] -> 
  -3/a^10 + 6/a^8 - 2/a^6 - 3/a^4 + 3/a^2 - (7*z^2)/a^10 + (17*z^2)/a^8 - 
   z^2/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (20*z^4)/a^8 + 
   (3*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 17967] -> 1 - 2/a^10 + 3/a^8 + a^(-6) - 3/a^4 + 
   a^(-2) + 2*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 17968] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 17969] -> 2 - a^(-10) + 4/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 17970] -> -a^(-10) + a^(-8) + a^(-6) - a^(-2) + a^2 - 
   2*z^2 - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 17971] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 16*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 
   19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 17972] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - 
   a^6 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 17973] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17974] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + 
   10*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 12*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 17975] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + 
   8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 17976] -> 
  -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 8*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17977] -> -4 - a^(-8) + 3/a^6 - 5/a^4 + 
   7/a^2 + a^4 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 17978] -> 2*a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + 5*a^2*z^2 - 11*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 12*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 18*a^6*z^4 - 22*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 17979] -> 1 - a^2 + a^4 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 2*z^2 - 3*a^2*z^2 + 3*a^4*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 17980] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   5*z^2 + z^2/a^4 + 8*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   2*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17981] -> 2*a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + 5*a^2*z^2 - 10*a^4*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 + a^2*z^4 - 10*a^4*z^4 + 10*a^6*z^4 - 11*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 3*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 17982] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 
   3*z^2 + z^2/a^2 + 11*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 17983] -> 
  1 - a^6 + 2*a^8 - a^10 - z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 
   4*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 4*z^4 + z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + a^4*z^6 - 
   3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17984] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 17985] -> a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 
   z^2 - (4*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + (5*z^4)/a^6 - z^4/a^4 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 17986] -> 
  -3 + a^(-2) + 6*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17987] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   a^6 + 2*a^8 - a^10 - 4*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   4*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + a^4*z^6 - 
   3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 17988] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17989] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 17990] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 3*a^2 + 2*a^4 - a^6 - 17*z^2 + z^2/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 17991] -> -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 
   2*a^2 - 4*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   a^6*z^2 - 2*z^4 + (5*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 17992] -> 
  -2 + 2/a^2 + a^2 - 3*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 17993] -> 1 - 2*a^2 + 3*a^4 - a^6 + a^8 - 
   a^10 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 - 
   2*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 17994] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 17995] -> 2*a^4 - 3*a^6 + 3*a^8 + 2*a^10 - 4*a^12 + 
   a^14 + 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 10*a^10*z^2 - 5*a^12*z^2 - 
   a^14*z^2 + 4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 10*a^10*z^4 + 2*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 5*a^8*z^6 + a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 17996] -> 
  a^2 - a^4 + a^6 + a^8 - a^12 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*a^8*z^2 + 
   2*a^10*z^2 - a^14*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 + a^8*z^4 + 
   2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 17997] -> a^(-4) - a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - 
   a^8 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 17998] -> a^4 - a^8 + 5*a^10 - 5*a^12 + a^14 + 
   3*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 16*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + 16*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 17999] -> 
  -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 2*a^4 - 20*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18000] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 6*z^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18001] -> 
  a^4 - a^8 + 5*a^10 - 5*a^12 + a^14 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   12*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 
   3*a^8*z^4 + 9*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 5*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 18002] -> -3 + a^(-2) + 6*a^2 - 7*a^4 + 
   7*a^6 - 3*a^8 - 10*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 19*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 23*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18003] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18004] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18005] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18006] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 
   20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18007] -> 
  3*a^6 - a^8 - a^10 + 2*a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 + a^8*z^2 - 
   3*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 18008] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18009] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   17*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18010] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18011] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   a^10*z^2 + z^4 + 2*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18012] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   16*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   22*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18013] -> 
  a^2 - a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 2*a^2*z^2 - 3*a^4*z^2 + 
   13*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + a^2*z^4 - 9*a^4*z^4 + 
   18*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18014] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   9*z^2 + z^2/a^2 + 18*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18015] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18016] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18017] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + 4*a^2*z^4 - 
   10*a^4*z^4 + 5*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 
   2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18018] -> 
  2*a^4 - a^6 - a^8 + 4*a^10 - 4*a^12 + a^14 + 5*a^4*z^2 + a^6*z^2 - 
   8*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 
   13*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 7*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 18019] -> 
  1 + a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 2*a^10 + z^2 + 3*a^2*z^2 - 15*a^4*z^2 + 
   20*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - z^4 + 6*a^2*z^4 - 22*a^4*z^4 + 
   23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 14*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18020] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   6*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   7*z^4 + z^4/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18021] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18022] -> -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18023] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 19*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18024] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18025] -> 
  -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 20*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (21*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18026] -> 
  -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 + z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18027] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18028] -> 5*a^2 - 7*a^4 + 4*a^6 - 2*a^8 + 
   a^10 - 2*z^2 + 12*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 24*a^4*z^4 + 15*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18029] -> 2 - a^2 - a^8 + a^10 + 4*z^2 - z^2/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 4*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18030] -> 3 - 3*a^2 + a^4 - a^8 + a^10 + 4*z^2 - 
   z^2/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 18031] -> 2 + a^2 - 5*a^4 + 4*a^6 - 2*a^8 + a^10 - 
   z^2 + 6*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 21*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 18032] -> 
  1 + a^(-2) - 2*a^2 + a^4 - a^8 + a^10 + 2*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18033] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18034] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18035] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18036] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 18037] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 
   18*a^6*z^2 - 22*a^8*z^2 + 10*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 17*a^6*z^4 - 
   19*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 - 
   4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 18038] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 6*a^4*z^2 - 
   5*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 - 
   5*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 18039] -> a^2 + a^4 - a^6 + z^2 + a^4*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18040] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + (7*z^4)/a^2 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18041] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 18042] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18043] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - z^2 + 6*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 13*a^4*z^4 + 
   12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18044] -> 1 + a^4 - 2*a^6 + a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 
   10*a^4*z^4 + 9*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 18045] -> 2*a^2 - a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18046] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 
   z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 18047] -> 
  3 - a^(-2) - 2*a^4 + a^6 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18048] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18049] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 + a^4*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - 2*a^4*z^4 + 11*a^6*z^4 - 10*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 18050] -> 
  2*a^4 - 2*a^10 + a^12 + 3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 
   a^12*z^2 - a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 18051] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18052] -> a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 18053] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 
   3*a^2*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 
   8*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 18054] -> 2 - a^2 - a^4 + a^6 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18055] -> a^2 + a^6 - 2*a^10 + a^12 + 
   a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 
   a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 18056] -> 
  1 - a^2 + 3*a^4 - 2*a^6 - a^8 + a^10 + z^2 - a^2*z^2 - a^4*z^2 + 
   4*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - z^4 + 3*a^2*z^4 - 10*a^4*z^4 + 
   12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18057] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18058] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 3*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18059] -> 
  3 - a^(-2) - a^2 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18060] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 5*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 18061] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 22*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18062] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - 
   2*z^2 + 8*a^2*z^2 - 4*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 
   11*a^2*z^4 - 2*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 
   4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18063] -> 
  4*a^2 - 4*a^4 + a^6 - a^8 + a^10 - z^2 + 6*a^2*z^2 - 6*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - a^4*z^4 - 
   4*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 4*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 18064] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 
   4*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18065] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 18066] -> 1 - a^2 + 5*a^4 - 7*a^6 + 3*a^8 + z^2 - 
   3*a^2*z^2 + 10*a^4*z^2 - 16*a^6*z^2 + 6*a^8*z^2 - 2*z^4 + 9*a^4*z^4 - 
   17*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 7*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 18067] -> 1 + 2*a^4 - 3*a^6 + a^10 + z^2 - a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 4*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 18068] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 3*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 5*a^4*z^4 + 12*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 18069] -> 
  2 - a^(-2) + a^2 - a^4 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18070] -> 2*a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18071] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18072] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18073] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18074] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - z^2 - z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^8 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 18075] -> 
  a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18076] -> 
  1 - a^(-2) + 3*a^2 - 3*a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18077] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18078] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 18079] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 
   2*a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 18080] -> 
  2*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18081] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18082] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   z^2/a^8 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18083] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + z^4 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18084] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18085] -> -1 - 2/a^4 + 4/a^2 + z^2/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18086] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18087] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18088] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - 
   a^4 - 7*z^2 + z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18089] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 8*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18090] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (22*z^2)/a^14 + (15*z^2)/a^12 + (14*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (15*z^4)/a^14 + (27*z^4)/a^12 + (22*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (18*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 18091] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) - 
   (9*z^2)/a^14 + (4*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (9*z^4)/a^12 + (14*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 18092] -> a^(-16) - 2/a^14 - 2/a^12 + 
   2/a^10 + 2/a^8 - z^2/a^16 - (3*z^2)/a^14 + (7*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (7*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 18093] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - (3*z^2)/a^12 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (3*z^4)/a^12 + (2*z^4)/a^10 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (6*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18094] -> -a^(-18) + 8/a^16 - 16/a^14 + 7/a^12 + 
   3/a^10 + (9*z^2)/a^16 - (41*z^2)/a^14 + (31*z^2)/a^12 + (12*z^2)/a^10 + 
   (2*z^2)/a^8 - (29*z^4)/a^14 + (45*z^4)/a^12 + (23*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (28*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 18095] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   z^2/a^16 - (11*z^2)/a^14 + z^2/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + (10*z^4)/a^12 + (20*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 18096] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (11*z^4)/a^8 - (14*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 18097] -> -2/a^18 + 13/a^16 - 24/a^14 + 
   12/a^12 + 2/a^10 - z^2/a^18 + (20*z^2)/a^16 - (66*z^2)/a^14 + 
   (48*z^2)/a^12 + (11*z^2)/a^10 + (5*z^4)/a^16 - (59*z^4)/a^14 + 
   (77*z^4)/a^12 + (21*z^4)/a^10 - (3*z^6)/a^16 - (16*z^6)/a^14 + 
   (60*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (22*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 18098] -> 2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (12*z^2)/a^14 - (2*z^2)/a^12 + (18*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + (11*z^4)/a^12 + 
   (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (12*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 18099] -> -a^(-18) + 6/a^16 - 8/a^14 - 
   3/a^12 + 7/a^10 + (6*z^2)/a^16 - (21*z^2)/a^14 + (24*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (15*z^4)/a^14 + (14*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (15*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 18100] -> a^(-16) - a^(-14) - 3/a^12 + a^(-10) + 
   3/a^8 - (4*z^2)/a^14 - (4*z^2)/a^12 + (8*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + (4*z^4)/a^12 + (13*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 18101] -> 
  1 + z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18102] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 20*z^2 - (4*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - 24*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   16*z^6 - z^6/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18103] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   8*a^2*z^4 + 4*a^4*z^4 - z^6 - z^6/a^4 + (4*z^6)/a^2 - 9*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18104] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   z^4/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (5*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18105] -> 13 - 4/a^2 - 12*a^2 + 4*a^4 + 36*z^2 - 
   (8*z^2)/a^2 - 44*a^2*z^2 + 16*a^4*z^2 + 51*z^4 - (9*z^4)/a^2 - 
   75*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 18106] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 11*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 17*a^2*z^4 + 
   9*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18107] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 13*z^2 - 
   (3*z^2)/a^6 + (20*z^2)/a^4 - (32*z^2)/a^2 + 19*z^4 - (6*z^4)/a^6 + 
   (34*z^4)/a^4 - (57*z^4)/a^2 + 15*z^6 - (4*z^6)/a^6 + (29*z^6)/a^4 - 
   (53*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 18108] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - (9*z^4)/a^6 - (14*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 18109] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 + 3*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18110] -> 
  3 - a^(-2) - a^2 + 12*z^2 - z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 18111] -> 
  28 + 3/a^4 - 18/a^2 - 12*a^2 + 92*z^2 + (8*z^2)/a^4 - (55*z^2)/a^2 - 
   36*a^2*z^2 + 131*z^4 + (9*z^4)/a^4 - (69*z^4)/a^2 - 43*a^2*z^4 + 100*z^6 + 
   (5*z^6)/a^4 - (45*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 18112] -> 2 - 3/a^2 + 7*a^2 - 5*a^4 + 9*z^2 + 
   z^2/a^4 - (11*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 17*z^4 + (3*z^4)/a^4 - 
   (16*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (10*z^6)/a^2 + 
   20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 18113] -> 
  13 + a^(-6) - 4/a^4 - 2/a^2 - 7*a^2 + 34*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 - 17*a^2*z^2 + 39*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 18114] -> 
  3 - a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + 11*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 15*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 18115] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + 3*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 3*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18116] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 + (6*z^2)/a^16 - 
   (22*z^2)/a^14 + (4*z^2)/a^12 + (21*z^2)/a^10 + (3*z^2)/a^8 - 
   (13*z^4)/a^14 + (13*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 + 
   (8*z^6)/a^12 + (11*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 18117] -> -2/a^14 + 8/a^12 - 11/a^10 + 3/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (18*z^2)/a^12 - (27*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (14*z^4)/a^12 - (24*z^4)/a^10 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 18118] -> 
  3/a^16 - 7/a^14 + a^(-12) + 3/a^10 + a^(-8) + (3*z^2)/a^16 - 
   (20*z^2)/a^14 + (10*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (16*z^4)/a^14 + (25*z^4)/a^12 + (25*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   (2*z^6)/a^14 + (20*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 18119] -> 
  -a^(-18) + 7/a^16 - 12/a^14 + 2/a^12 + 5/a^10 + (7*z^2)/a^16 - 
   (29*z^2)/a^14 + (12*z^2)/a^12 + (21*z^2)/a^10 + z^2/a^8 - (23*z^4)/a^14 + 
   (28*z^4)/a^12 + (32*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + 
   (23*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 18120] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 4*z^2 + (9*z^2)/a^6 - (12*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18121] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 
   14*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18122] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18123] -> 
  -a^(-6) + a^(-4) + a^(-2) + 5*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - 
   (12*z^2)/a^2 + 14*z^4 - (6*z^4)/a^6 + (29*z^4)/a^4 - (39*z^4)/a^2 + 
   14*z^6 - (4*z^6)/a^6 + (28*z^6)/a^4 - (46*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 18124] -> 6 - 2/a^6 + 9/a^4 - 12/a^2 + 
   21*z^2 - (5*z^2)/a^6 + (33*z^2)/a^4 - (52*z^2)/a^2 + 29*z^4 - 
   (8*z^4)/a^6 + (50*z^4)/a^4 - (87*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + 
   (38*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 18125] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 18126] -> 
  5 - a^(-8) + 3/a^6 + a^(-4) - 7/a^2 + 11*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^2)/a^4 - (20*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (11*z^4)/a^4 - (25*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 18127] -> 
  -1 - 2*a^2 + 10*a^4 - 6*a^6 - 5*z^2 - a^2*z^2 + 27*a^4*z^2 - 13*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 31*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18128] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - 3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 + 6*a^4*z^2 - 
   5*a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 18129] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 3*z^2 + 11*a^2*z^2 - 7*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 - z^4/a^2 + 11*a^2*z^4 - 13*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 18130] -> 
  -1 + 3*a^2 - a^6 - 6*z^2 + 12*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 7*z^4 + 
   z^4/a^4 - z^4/a^2 + 17*a^2*z^4 - 2*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   10*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 18131] -> 23 + 2/a^4 - 14/a^2 - 10*a^2 + 72*z^2 + 
   (6*z^2)/a^4 - (42*z^2)/a^2 - 28*a^2*z^2 + 101*z^4 + (7*z^4)/a^4 - 
   (53*z^4)/a^2 - 33*a^2*z^4 + 79*z^6 + (4*z^6)/a^4 - (36*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 18132] -> 
  -2 - 2/a^4 + 3/a^2 + 5*a^2 - 3*a^4 - 9*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + z^4/a^6 - (5*z^4)/a^4 + (15*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18133] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18134] -> 9 + a^(-4) - 6/a^2 - 2*a^2 - a^4 + 20*z^2 + 
   (3*z^2)/a^4 - (15*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 17*z^4 + (4*z^4)/a^4 - 
   (15*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 4*z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 18135] -> -5 - a^(-8) + 4/a^6 - 5/a^4 + 
   5/a^2 + 3*a^2 - 15*z^2 - z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - z^4/a^8 + (6*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18136] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18137] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 - 
   15*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 + z^4/a^2 - 14*a^2*z^4 + 22*a^4*z^4 - 
   7*a^6*z^4 - 4*z^6 + z^6/a^2 - 3*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 18138] -> -2 - 2/a^6 + 7/a^4 - 5/a^2 + 3*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (17*z^2)/a^4 - (15*z^2)/a^2 + 9*a^2*z^2 - 21*z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (18*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18139] -> 
  -3 - a^(-8) + 3/a^6 - a^(-4) + 3*a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 18140] -> -1 + a^(-2) + a^2 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18141] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - z^2 - 
   4*a^2*z^2 + 27*a^4*z^2 - 31*a^6*z^2 + 10*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 
   19*a^4*z^4 - 32*a^6*z^4 + 10*a^8*z^4 - z^6 + 6*a^2*z^6 + 2*a^4*z^6 - 
   18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18142] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 19*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18143] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (15*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (10*z^4)/a^10 + 
   (16*z^4)/a^8 - z^4/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18144] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 18145] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 2*z^2 - 12*a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 
   z^4 + z^4/a^2 - 11*a^2*z^4 + 25*a^4*z^4 - 8*a^6*z^4 - 4*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 15*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18146] -> 
  -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 4*a^4*z^2 + 11*a^6*z^2 + 
   13*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 16*a^6*z^4 + 
   15*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 12*a^6*z^6 + 
   9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 18147] -> 5 - 2/a^2 - 2*a^2 + 21*z^2 + (3*z^2)/a^4 - 
   (14*z^2)/a^2 - 8*a^2*z^2 + 44*z^4 + (6*z^4)/a^4 - (30*z^4)/a^2 - 
   15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (28*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 18148] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 16*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 18149] -> 
  -3 - 4/a^4 + 8/a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (22*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18150] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 
   2*z^2 + 12*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   z^4/a^2 + 19*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18151] -> 
  -a^4 + 2*a^6 + 7*a^8 - 10*a^10 + 3*a^12 - 5*a^4*z^2 + 10*a^6*z^2 + 
   20*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 17*a^6*z^4 + 
   21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 13*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 18152] -> 3/a^8 - 14/a^6 + 18/a^4 - 6/a^2 + 
   (7*z^2)/a^8 - (39*z^2)/a^6 + (59*z^2)/a^4 - (21*z^2)/a^2 + (9*z^4)/a^8 - 
   (54*z^4)/a^6 + (89*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 18153] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (13*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18154] -> 4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + 
   (6*z^2)/a^16 - (33*z^2)/a^14 + (25*z^2)/a^12 + (14*z^2)/a^10 + 
   (2*z^2)/a^8 - (26*z^4)/a^14 + (41*z^4)/a^12 + (24*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (27*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 18155] -> 3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (16*z^2)/a^14 + (9*z^2)/a^12 + (12*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (7*z^4)/a^14 + (14*z^4)/a^12 + 
   (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 18156] -> 
  4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + (5*z^2)/a^16 - (32*z^2)/a^14 + 
   (26*z^2)/a^12 + (13*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (24*z^4)/a^14 + 
   (43*z^4)/a^12 + (23*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (28*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 18157] -> 
  3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (15*z^2)/a^14 + 
   (10*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (6*z^4)/a^14 + (15*z^4)/a^12 + (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 18158] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18159] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 18160] -> 2 - a^(-4) + a^(-2) - a^2 - z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18161] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 18162] -> 
  2 - 2/a^4 + 4/a^2 - 6*a^2 + 3*a^4 + 4*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   20*a^2*z^2 + 9*a^4*z^2 - (3*z^4)/a^4 + (12*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18163] -> 1 - a^(-6) + 2/a^4 - 3*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - 7*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - 6*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 18164] -> 1 - a^(-2) + 4*a^4 - 3*a^6 + z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 18165] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (15*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (16*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 18166] -> a^2 + a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18167] -> -4/a^6 + 7/a^4 - 2/a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 - z^2/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 18168] -> 
  -6 - 2/a^4 + 7/a^2 + 2*a^2 - a^4 + a^6 - 19*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18169] -> 5/a^16 - 14/a^14 + 8/a^12 + 2/a^10 + 
   (8*z^2)/a^16 - (45*z^2)/a^14 + (40*z^2)/a^12 + (11*z^2)/a^10 - z^4/a^16 - 
   (41*z^4)/a^14 + (72*z^4)/a^12 + (21*z^4)/a^10 - (4*z^6)/a^16 - 
   (9*z^6)/a^14 + (59*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + 
   (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 18170] -> 3/a^16 - 7/a^14 + 5/a^10 + (2*z^2)/a^16 - 
   (17*z^2)/a^14 + (5*z^2)/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (11*z^4)/a^14 + (18*z^4)/a^12 + (31*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 18171] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (7*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18172] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (11*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18173] -> -6 + 2/a^6 - 6/a^4 + 9/a^2 + a^2 + a^4 - 
   15*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   11*z^4 - z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 18174] -> 4/a^16 - 11/a^14 + 6/a^12 + a^(-10) + 
   a^(-8) + (3*z^2)/a^16 - (24*z^2)/a^14 + (19*z^2)/a^12 + (10*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (14*z^4)/a^14 + (29*z^4)/a^12 + 
   (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (19*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 18175] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) - 
   (8*z^2)/a^14 + (13*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (8*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 18176] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^8 - (4*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18177] -> 1 + 2*z^2 + z^2/a^8 - (3*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18178] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 9*z^2 - (5*z^2)/a^6 + (21*z^2)/a^4 - 
   (24*z^2)/a^2 + 16*z^4 - (8*z^4)/a^6 + (37*z^4)/a^4 - (49*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 18179] -> -a^(-10) + 5/a^8 - 9/a^6 + 
   6/a^4 - (4*z^2)/a^10 + (21*z^2)/a^8 - (32*z^2)/a^6 + (16*z^2)/a^4 - 
   (7*z^4)/a^10 + (36*z^4)/a^8 - (55*z^4)/a^6 + (19*z^4)/a^4 - (5*z^6)/a^10 + 
   (31*z^6)/a^8 - (51*z^6)/a^6 + (14*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - 
   (27*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 18180] -> -9 + a^(-6) - 4/a^4 + 9/a^2 + 
   4*a^2 - 24*z^2 - z^2/a^8 + (4*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 + 
   6*a^2*z^2 - 22*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (32*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18181] -> 18 + a^(-4) - 10/a^2 - 8*a^2 + 61*z^2 + 
   (5*z^2)/a^4 - (35*z^2)/a^2 - 24*a^2*z^2 + 92*z^4 + (8*z^4)/a^4 - 
   (51*z^4)/a^2 - 30*a^2*z^4 + 75*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 18182] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 26*z^2 + z^2/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 - 12*a^2*z^2 + 30*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 18183] -> 9 - 3/a^2 - 7*a^2 + 2*a^4 + 17*z^2 - 
   (3*z^2)/a^2 - 21*a^2*z^2 + 8*a^4*z^2 + 24*z^4 - (3*z^4)/a^2 - 41*a^2*z^4 + 
   15*a^4*z^4 + 23*z^6 - (3*z^6)/a^2 - 46*a^2*z^6 + 14*a^4*z^6 + 11*z^8 - 
   z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 18184] -> -1 + a^(-2) + a^2 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18185] -> 
  2*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18186] -> 
  -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18187] -> 2 - a^(-2) + a^2 - a^4 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18188] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (13*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 18189] -> 
  -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18190] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (8*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18191] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 
   11*z^2 - z^2/a^6 + (8*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   11*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 18192] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 18193] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 5/a^6 + 3/a^4 + a^(-2) - (2*z^2)/a^12 + 
   (9*z^2)/a^10 - (5*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^12 + (10*z^4)/a^10 - (15*z^4)/a^8 - (6*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^10 - (12*z^6)/a^8 + (5*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 18194] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   z^2/a^14 + (6*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (5*z^4)/a^10 - (15*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18195] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18196] -> -a^(-4) + 2/a^2 + 6*z^2 - (2*z^2)/a^6 + 
   (10*z^2)/a^4 - (13*z^2)/a^2 + 15*z^4 - (5*z^4)/a^6 + (27*z^4)/a^4 - 
   (41*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - (47*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 18197] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18198] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 + 21*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18199] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - z^2 - 11*a^2*z^2 + 35*a^4*z^2 - 16*a^6*z^2 + 
   4*z^4 - 32*a^2*z^4 + 70*a^4*z^4 - 25*a^6*z^4 + 4*z^6 - 31*a^2*z^6 + 
   67*a^4*z^6 - 19*a^6*z^6 + z^8 - 13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 18200] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 36*z^2 + 
   (2*z^2)/a^4 - (19*z^2)/a^2 - 14*a^2*z^2 + 55*z^4 + (3*z^4)/a^4 - 
   (27*z^4)/a^2 - 19*a^2*z^4 + 52*z^6 + (3*z^6)/a^4 - (24*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 18201] -> 
  -5 - a^(-8) + 3/a^6 - 7/a^4 + 10/a^2 + a^2 - 17*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (18*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 25*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 18202] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 
   2/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (24*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18203] -> 
  2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + (6*z^2)/a^8 - (30*z^2)/a^6 + 
   (44*z^2)/a^4 - (15*z^2)/a^2 + (8*z^4)/a^8 - (43*z^4)/a^6 + (66*z^4)/a^4 - 
   (21*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + (56*z^6)/a^4 - (15*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (28*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 18204] -> 
  1 - a^(-2) + 4*a^4 - 3*a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 18205] -> 
  2 - a^(-2) - 3*a^2 + 7*a^4 - 4*a^6 - 2*z^2 - 2*a^2*z^2 + 19*a^4*z^2 - 
   9*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18206] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18207] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18208] -> 2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + 
   (2*z^2)/a^16 - (13*z^2)/a^14 - (4*z^2)/a^12 + (26*z^2)/a^10 + z^2/a^8 - 
   z^4/a^16 - (13*z^4)/a^14 + (14*z^4)/a^12 + (36*z^4)/a^10 + (3*z^4)/a^8 - 
   z^6/a^16 - (2*z^6)/a^14 + (17*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 18209] -> 7 - a^(-4) - 8*a^2 + 3*a^4 + 12*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 21*a^2*z^2 + 8*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 23*a^2*z^4 + 8*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   14*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 18210] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 24*z^2 + (3*z^2)/a^4 - (16*z^2)/a^2 - 
   9*a^2*z^2 + 28*z^4 + (2*z^4)/a^6 - z^4/a^4 - (15*z^4)/a^2 - 8*a^2*z^4 + 
   15*z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 18211] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 18212] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^2 - a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 18213] -> -4 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 + a^2 + 
   a^4 - 8*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 18214] -> -a^(-4) + 2/a^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18215] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 
   6*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (13*z^2)/a^2 + 6*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - (16*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 18216] -> -2 + a^(-6) - 3/a^4 + 5/a^2 - 2*a^2 + 
   2*a^4 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 18217] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 2*z^2 + (2*z^2)/a^8 - (13*z^2)/a^6 + 
   (18*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (15*z^4)/a^6 + 
   (22*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (20*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 18218] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 6*z^2 + (6*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 
   13*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18219] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 7*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18220] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 21*z^2 + 
   (5*z^2)/a^4 - (19*z^2)/a^2 - 7*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - 
   (18*z^4)/a^2 - 7*a^2*z^4 + 14*z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 18221] -> 3 - 4*a^2 + 2*a^4 + 13*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 18*a^2*z^2 + 6*a^4*z^2 + 15*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 23*a^2*z^4 + 7*a^4*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   14*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 18222] -> 
  3 + 2/a^4 - 4/a^2 + 6*z^2 - z^2/a^8 + (9*z^2)/a^4 - (16*z^2)/a^2 + 6*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (9*z^4)/a^4 - (20*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (12*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (3*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 18223] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 17*z^2 - z^2/a^4 - (2*z^2)/a^2 - 25*a^2*z^2 + 
   9*a^4*z^2 + 14*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 30*a^2*z^4 + 10*a^4*z^4 + 
   z^6 - z^6/a^4 + (6*z^6)/a^2 - 18*a^2*z^6 + 5*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18224] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18225] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (9*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + 
   (25*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18226] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   z^2/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18227] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - 4*a^2*z^4 + 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 18228] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - 4*z^2 + 
   5*a^2*z^2 + 18*a^4*z^2 - 28*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 
   8*a^4*z^4 - 29*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18229] -> 
  -1 + 5*a^2 - 3*a^4 - a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   8*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   10*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18230] -> -1 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^6 + 
   (11*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (21*z^4)/a^4 - (28*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 18231] -> 
  -a^(-10) + 6/a^8 - 10/a^6 + 5/a^4 + a^(-2) - (2*z^2)/a^10 + (13*z^2)/a^8 - 
   (19*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (16*z^4)/a^8 - 
   (24*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (21*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18232] -> -2 + 7*a^2 - 3*a^4 - 3*a^6 + 2*a^8 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18233] -> 3 - a^(-2) - a^4 - a^6 + a^8 + 5*z^2 - 
   z^2/a^4 - 2*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 18234] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 18235] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   z^4/a^8 - (12*z^4)/a^6 + (13*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (11*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 18236] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (2*z^2)/a^12 - (12*z^2)/a^10 + 
   (12*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (16*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18237] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (4*z^4)/a^6 + (11*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (3*z^6)/a^6 + (9*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18238] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18239] -> 5 + 2/a^4 - 5/a^2 - a^2 + 13*z^2 + 
   (4*z^2)/a^4 - (14*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (12*z^4)/a^2 - 4*a^2*z^4 + 9*z^6 + z^6/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 18240] -> 3 - 9*a^2 + 12*a^4 - 5*a^6 + 8*z^2 - 
   26*a^2*z^2 + 29*a^4*z^2 - 8*a^6*z^2 + z^4 + (2*z^4)/a^2 - 23*a^2*z^4 + 
   27*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 - 6*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 18241] -> 5 - a^(-6) + 6/a^4 - 9/a^2 + 7*z^2 - 
   z^2/a^8 - (3*z^2)/a^6 + (17*z^2)/a^4 - (23*z^2)/a^2 + 6*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (14*z^4)/a^4 - (22*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - (12*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (3*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 18242] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 10*z^2 - 
   z^2/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 18243] -> 2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^4 + 
   z^2/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18244] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 18245] -> -2 + a^(-6) + a^2 + a^4 - 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 18246] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^2 + a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + z^4/a^4 + 2*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 18247] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 + z^4/a^6 - (8*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 
   4*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 18248] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 18249] -> 
  6 - a^(-2) - 6*a^2 + a^4 + a^6 + 11*z^2 - z^2/a^4 - z^2/a^2 - 13*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - z^4/a^4 + (3*z^4)/a^2 - 12*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18250] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18251] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2 - z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18252] -> 
  2 - 2*a^2 + a^4 + 8*z^2 - z^2/a^4 - z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 
   9*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 - 9*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 18253] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 4*z^2 + 9*a^2*z^2 + 2*a^4*z^2 - 
   8*a^6*z^2 + 3*a^8*z^2 - z^4 - z^4/a^2 + 9*a^2*z^4 - 7*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 18254] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18255] -> -a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - a^(-4) + 
   a^(-2) + z^2 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18256] -> 
  3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + (7*z^2)/a^8 - (27*z^2)/a^6 + 
   (31*z^2)/a^4 - (9*z^2)/a^2 + (9*z^4)/a^8 - (41*z^4)/a^6 + (51*z^4)/a^4 - 
   (16*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + (49*z^6)/a^4 - (14*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 18257] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + (4*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18258] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 18259] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 18260] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 - (9*z^4)/a^2 + 
   2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 18261] -> 
  2/a^8 - 6/a^6 + 5/a^4 + (6*z^2)/a^8 - (22*z^2)/a^6 + (24*z^2)/a^4 - 
   (7*z^2)/a^2 + (8*z^4)/a^8 - (38*z^4)/a^6 + (48*z^4)/a^4 - (16*z^4)/a^2 + 
   (5*z^6)/a^8 - (32*z^6)/a^6 + (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 18262] -> 
  -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 9*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (22*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 - 
   (2*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18263] -> -a^(-4) + 2/a^2 + 13*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 39*z^4 + (6*z^4)/a^4 - 
   (29*z^4)/a^2 - 14*a^2*z^4 + 46*z^6 + (4*z^6)/a^4 - (28*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 18264] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) - 2*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (7*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18265] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 
   2*a^4 - 12*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 18266] -> 
  -3 + 2/a^8 - 6/a^6 + 2/a^4 + 6/a^2 - 9*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (20*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18267] -> 5 - 2/a^2 - 2*a^2 + 20*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 - 7*a^2*z^2 + 45*z^4 + (8*z^4)/a^4 - 
   (35*z^4)/a^2 - 15*a^2*z^4 + 48*z^6 + (5*z^6)/a^4 - (32*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 18268] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (12*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18269] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - z^4/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 - z^6/a^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 18270] -> -a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - a^(-4) + 
   a^(-2) - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (17*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (23*z^4)/a^6 - 
   (16*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 18271] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - (5*z^2)/a^12 + (15*z^2)/a^10 - (19*z^2)/a^8 + (14*z^2)/a^6 + 
   (10*z^4)/a^10 - (21*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (9*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18272] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 22*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   24*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18273] -> 
  -5 - a^(-8) + 3/a^6 - 7/a^4 + 10/a^2 + a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18274] -> 
  -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (21*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 18275] -> -a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - a^(-4) + 
   a^(-2) - (2*z^2)/a^12 + (10*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (21*z^4)/a^8 + 
   (18*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + 
   (12*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 18276] -> 
  a^(-14) - 2/a^12 - a^(-10) + 2/a^8 + a^(-4) - (4*z^2)/a^12 + (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + z^4/a^12 + (6*z^4)/a^10 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 + z^6/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18277] -> 3/a^10 - 10/a^8 + 9/a^6 - a^(-4) + 
   z^2/a^12 + (2*z^2)/a^10 - (19*z^2)/a^8 + (25*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (7*z^4)/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (2*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18278] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18279] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18280] -> 
  -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 8*a^4*z^2 + 22*a^6*z^2 + 
   3*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   26*a^6*z^4 + 11*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 18281] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18282] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (8*z^2)/a^10 - (4*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (3*z^4)/a^8 + (19*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18283] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + (3*z^2)/a^12 - (11*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + (12*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 18284] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18285] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 8/a^6 - 4/a^4 + 2/a^2 + z^2 + (5*z^2)/a^10 - 
   (17*z^2)/a^8 + (26*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   (10*z^4)/a^8 + (25*z^4)/a^6 - (21*z^4)/a^4 + z^4/a^2 + z^6 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18286] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 + 
   z^2/a^14 - (12*z^2)/a^12 + (23*z^2)/a^10 - (18*z^2)/a^8 + (13*z^2)/a^6 - 
   (4*z^4)/a^12 + (22*z^4)/a^10 - (25*z^4)/a^8 + (18*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^6)/a^10 - (17*z^6)/a^8 + (12*z^6)/a^6 - (3*z^6)/a^4 - (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 18287] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 13*z^2 - z^2/a^6 - z^2/a^4 + 
   (11*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 11*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 18288] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 10*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18289] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 
   2*a^2 - 13*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (29*z^2)/a^4 + 
   (24*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - 
   (34*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (19*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 18290] -> 3 - a^(-8) + 4/a^6 - 4/a^4 - 
   2*a^2 + a^4 + 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18291] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 18292] -> -a^2 + 3*a^4 - a^6 + 3*a^8 - 
   4*a^10 + a^12 - 3*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 + 6*a^8*z^2 - 
   7*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 8*a^6*z^4 + 
   5*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 18293] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 18294] -> 
  3/a^12 - 10/a^10 + 8/a^8 + (8*z^2)/a^12 - (35*z^2)/a^10 + (40*z^2)/a^8 - 
   (6*z^2)/a^6 + (11*z^4)/a^12 - (53*z^4)/a^10 + (72*z^4)/a^8 - 
   (17*z^4)/a^6 + (6*z^6)/a^12 - (41*z^6)/a^10 + (65*z^6)/a^8 - 
   (17*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + (33*z^8)/a^8 - (7*z^8)/a^6 - 
   (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 18295] -> 2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (14*z^2)/a^10 + (4*z^2)/a^8 + (17*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (17*z^4)/a^10 + (9*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18296] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + 
   (4*z^2)/a^12 - (17*z^2)/a^10 + (17*z^2)/a^8 + (2*z^2)/a^6 + (4*z^4)/a^12 - 
   (18*z^4)/a^10 + (18*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^10 + (11*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18297] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (10*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18298] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - (2*z^2)/a^2 + 16*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 21*a^4*z^4 + 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 12*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 18299] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 9*z^4 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18300] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 18301] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18302] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^4*z^2 - 7*z^4 - z^4/a^6 + (4*z^4)/a^4 - a^2*z^4 + 2*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 18303] -> -1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 
   3/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 18304] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2 + z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18305] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 18306] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^8 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18307] -> 
  -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 - z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 18308] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18309] -> 
  -2 + 2/a^2 - a^4 + 4*a^6 - 2*a^8 - 5*z^2 + (3*z^2)/a^2 - 8*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 16*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18310] -> 2 + a^(-4) - a^(-2) - 4*a^2 + 3*a^4 + a^6 - 
   a^8 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 18311] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18312] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18313] -> -2 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   a^4 - 4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^4 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18314] -> 
  -a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*a^2 + a^4 + z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18315] -> -2/a^8 + 4/a^6 - a^(-4) - a^(-2) + a^2 - 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 18316] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18317] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18318] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   5*a^2*z^4 - 10*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 18319] -> 2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + z^2 + 3*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - 11*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 18320] -> 2*a^6 - a^8 + 3*a^10 - 4*a^12 + 
   a^14 + 2*a^4*z^2 + 3*a^6*z^2 + 10*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + 3*a^4*z^4 - 2*a^8*z^4 + 9*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   4*a^6*z^6 - 5*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 18321] -> 
  -2 + a^(-2) + 5*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 8*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 24*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 18322] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18323] -> 
  a^2 - a^4 + 5*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + z^2 + a^2*z^2 - 5*a^4*z^2 + 
   16*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 13*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 18324] -> 1 + a^(-2) - 4*a^2 + 2*a^4 + 3*a^6 - 2*a^8 - 
   z^2 + (3*z^2)/a^2 - 7*a^2*z^2 - 4*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 
   7*z^4 + (3*z^4)/a^2 - a^2*z^4 - 15*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 5*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18325] -> 
  -2 + 2/a^2 - a^2 + 2*a^4 + a^6 - a^8 - 3*z^2 + z^2/a^4 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 18326] -> 
  1 - 2/a^10 + 3/a^8 - a^(-4) + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18327] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 
   3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (7*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18328] -> 
  2 - a^(-10) + 3/a^6 - a^(-4) - 2/a^2 + 3*z^2 - z^2/a^10 + z^2/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18329] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + a^2 + 2*a^4 - 
   a^6 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 
   7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18330] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18331] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 18332] -> 
  -a^(-10) + a^(-8) + 2/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 18333] -> 
  -4 - a^(-4) + 3/a^2 + 4*a^2 - a^6 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18334] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18335] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18336] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   15*z^2 - z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 
   16*z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18337] -> 
  -3 + a^(-2) + 6*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 8*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - 23*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 18338] -> 2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 
   3*a^10 - a^12 + 5*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 
   12*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 13*a^6*z^4 - 
   21*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 18339] -> 1 - a^2 + 3*a^4 - 3*a^6 + 2*a^10 - a^12 + 
   2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 18340] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   17*z^2 + z^2/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18341] -> 
  -5 + 2/a^2 + 9*a^2 - 8*a^4 + 3*a^6 - 16*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   25*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 20*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   31*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18342] -> -6 - a^(-8) + 3/a^6 - 6/a^4 + 9/a^2 + 
   2*a^2 - 14*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (22*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (24*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18343] -> 2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 
   a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 12*a^10*z^2 - 6*a^12*z^2 - a^14*z^2 + 
   2*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + 14*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 8*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 18344] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   z^2 - 2*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + z^4 - 3*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 18345] -> 2*a^2 - 2*a^4 + 3*a^6 - 5*a^8 + 
   5*a^10 - 2*a^12 + 5*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 17*a^8*z^2 + 
   14*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 16*a^6*z^4 - 
   23*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 18346] -> -2 + 2/a^2 + a^2 - 4*a^4 + 7*a^6 - 3*a^8 - 
   10*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18347] -> 
  -4 + a^(-6) - 3/a^4 + 4/a^2 + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 18348] -> 
  -4 - a^(-4) + 4/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 14*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18349] -> 1 - a^2 + 4*a^6 - 6*a^8 + 
   5*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 12*a^6*z^2 - 
   15*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 
   10*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 18350] -> 
  a^(-4) - a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 18351] -> 
  1 - 3*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 
   12*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 18352] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (15*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18353] -> -5 - 2/a^8 + 5/a^6 - 6/a^4 + 7/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (22*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18354] -> 
  -5 - a^(-4) + 4/a^2 + 7*a^2 - 7*a^4 + 3*a^6 - 17*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 21*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 28*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18355] -> 2 - a^(-4) + a^(-2) - 2*a^2 + 
   2*a^4 - a^6 + 4*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18356] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   7*z^2 + z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 18357] -> -1 + 4*a^2 - 5*a^4 + 7*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 7*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 18358] -> -4 + a^(-6) - 3/a^4 + 4/a^2 + 5*a^2 - 
   2*a^4 - 15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18359] -> 1 + a^(-6) - 2/a^4 + a^(-2) - a^2 + 2*a^4 - 
   a^6 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18360] -> 2 - a^(-2) - 2*a^2 + 4*a^4 - a^6 - a^8 + 
   2*z^2 - z^2/a^2 - a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4 + 
   z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18361] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 + z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   24*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18362] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 5*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18363] -> 
  -2 - 2/a^4 + 3/a^2 + 5*a^2 - 3*a^4 - 9*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 11*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18364] -> 
  1 - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18365] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   3*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - z^4 - z^4/a^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 18366] -> 4 + a^(-4) - 2/a^2 - 3*a^2 + 
   a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 - z^4/a^4 - z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 18367] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18368] -> 
  1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 18369] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18370] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 16*a^4*z^4 + 14*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 18371] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 14*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18372] -> 2 + 2/a^4 - 3/a^2 + a^2 - 3*a^4 + 2*a^6 + 
   2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 18373] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - 2*a^4*z^2 + 
   18*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 5*a^4*z^4 + 20*a^6*z^4 - 
   11*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 18374] -> 
  2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 
   a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 18375] -> 
  2*a^4 + a^8 - 4*a^10 + 2*a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   8*a^10*z^2 + 4*a^12*z^2 - 3*a^4*z^4 + 10*a^6*z^4 - 2*a^8*z^4 - 
   12*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 18376] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   10*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 16*a^4*z^4 + 
   17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18377] -> a^2 + 2*a^6 - 2*a^8 - a^10 + a^12 + 
   a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 
   a^2*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 18378] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18379] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 18380] -> a^4 + 2*a^6 - 4*a^10 + 2*a^12 + a^4*z^2 + 
   7*a^6*z^2 + 2*a^8*z^2 - 12*a^10*z^2 + 5*a^12*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 
   5*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 18381] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18382] -> 
  4*a^6 - a^8 - 4*a^10 + 2*a^12 - a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 
   10*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - 
   13*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 18383] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 
   4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 18384] -> 
  2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 18385] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18386] -> 
  3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^4*z^2 + a^6*z^2 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 18387] -> 
  2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 - a^2*z^2 - 6*a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 18388] -> 
  a^2 + a^4 - a^6 - z^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^8*z^2 - 3*z^4 + 
   9*a^2*z^4 - 7*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 8*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18389] -> 
  1 + 3*a^2 - 6*a^4 + 4*a^6 - 2*a^8 + a^10 - z^2 + 7*a^2*z^2 - 17*a^4*z^2 + 
   12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 22*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18390] -> 
  2 + a^2 - 5*a^4 + 4*a^6 - 2*a^8 + a^10 - z^2 + 6*a^2*z^2 - 18*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 24*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18391] -> 
  -12 - 2/a^4 + 9/a^2 + 9*a^2 - 5*a^4 + 2*a^6 - 31*z^2 - (5*z^2)/a^4 + 
   (20*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 32*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 25*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18392] -> 
  2 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 3*a^4 + 2*a^6 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (9*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 18393] -> -1 + 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + a^8 - 
   4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 18394] -> -1 + a^(-4) + a^2 - a^6 + a^8 - 4*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 18395] -> a^2 + 5*a^4 - 9*a^6 + 4*a^8 - 3*a^2*z^2 + 
   25*a^4*z^2 - 40*a^6*z^2 + 16*a^8*z^2 - 16*a^2*z^4 + 53*a^4*z^4 - 
   66*a^6*z^4 + 17*a^8*z^4 - 17*a^2*z^6 + 57*a^4*z^6 - 48*a^6*z^6 + 
   7*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 18396] -> 
  4*a^2 - 3*a^4 - 2*a^6 + 2*a^8 - 2*z^2 + 10*a^2*z^2 - 7*a^4*z^2 - 
   11*a^6*z^2 + 7*a^8*z^2 - 7*z^4 + 14*a^2*z^4 - 3*a^4*z^4 - 19*a^6*z^4 + 
   5*a^8*z^4 - 5*z^6 + 13*a^2*z^6 + 6*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 18397] -> 1 + 3*a^4 - 6*a^6 + 3*a^8 + z^2 - a^2*z^2 + 
   7*a^4*z^2 - 18*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 8*a^4*z^4 - 
   22*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 8*a^2*z^6 + 9*a^4*z^6 - 11*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 18398] -> 2 - a^2 + a^4 - 3*a^6 + 2*a^8 + z^2 - 
   3*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - (2*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 18399] -> 
  2*a^2 + 2*a^4 - 5*a^6 + a^8 + a^10 + a^2*z^2 + 7*a^4*z^2 - 11*a^6*z^2 - 
   6*a^8*z^2 + 6*a^10*z^2 - 6*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 17*a^8*z^4 + 
   5*a^10*z^4 - 5*a^2*z^6 + 12*a^4*z^6 + 5*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - 
   a^2*z^8 + 6*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 18400] -> 5*a^2 - 6*a^4 + 2*a^6 - a^8 + a^10 - z^2 + 
   7*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   3*a^2*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 18401] -> 1 + a^2 - 2*a^6 + a^10 + z^2 - 5*a^6*z^2 - 
   3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 18402] -> 
  2 - 2*a^4 + a^6 - a^8 + a^10 + z^2 - a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + a^2*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 
   z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 18403] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - z^2 + 6*a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18404] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 7*a^4*z^2 - 
   11*a^6*z^2 + 4*a^8*z^2 - z^4 + 7*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 
   2*z^6 + 3*a^2*z^6 + 5*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 18405] -> 1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   z^2 + 2*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 
   6*a^2*z^4 - 18*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18406] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   12*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18407] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   3*a^4*z^2 + 8*a^6*z^2 - 14*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 5*a^4*z^4 + 
   16*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 7*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18408] -> 1 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18409] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - z^2 - a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18410] -> 
  a^4 + 3*a^6 - 6*a^8 + 6*a^10 - 4*a^12 + a^14 + a^4*z^2 + 11*a^6*z^2 - 
   16*a^8*z^2 + 14*a^10*z^2 - 5*a^12*z^2 - a^4*z^4 + 13*a^6*z^4 - 
   18*a^8*z^4 + 10*a^10*z^4 - a^2*z^6 - a^4*z^6 + 7*a^6*z^6 - 9*a^8*z^6 + 
   a^4*z^8 + 3*a^6*z^8, Knot[15, Alternating, 18411] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18412] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18413] -> -2 - 2/a^8 + 4/a^6 - 5/a^4 + 6/a^2 - 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18414] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 13*a^8*z^2 + 5*a^10*z^2 + z^4 + 
   a^2*z^4 - 12*a^4*z^4 + 19*a^6*z^4 - 10*a^8*z^4 + z^6 - 8*a^4*z^6 + 
   9*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 18415] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 20*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18416] -> 
  2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18417] -> 2 - a^(-8) + a^(-6) - a^2 + 5*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18418] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18419] -> -a^(-18) + 8/a^16 - 15/a^14 + 
   5/a^12 + 4/a^10 + (10*z^2)/a^16 - (39*z^2)/a^14 + (23*z^2)/a^12 + 
   (16*z^2)/a^10 + (2*z^2)/a^8 + z^4/a^16 - (30*z^4)/a^14 + (38*z^4)/a^12 + 
   (25*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (5*z^6)/a^14 + (26*z^6)/a^12 + 
   (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 18420] -> 2/a^16 - 4/a^14 - a^(-12) + 
   2/a^10 + 2/a^8 + (2*z^2)/a^16 - (12*z^2)/a^14 + (3*z^2)/a^12 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + 
   (10*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 18421] -> 2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) - 
   (10*z^2)/a^12 + (13*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 - z^4/a^12 + (16*z^4)/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^6)/a^12 + (4*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 18422] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18423] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 18424] -> 
  a^(-8) - 2/a^6 + 2/a^2 - z^2/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - (9*z^4)/a^6 - 
   (14*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (8*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 18425] -> 
  1 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 18426] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18427] -> 
  2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + (3*z^2)/a^16 - (14*z^2)/a^14 - 
   (2*z^2)/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (12*z^4)/a^14 + 
   (12*z^4)/a^12 + (29*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 18428] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (9*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 18429] -> 
  4 - 2/a^2 - a^4 + 5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + (5*z^4)/a^4 - (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18430] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + z^2/a^8 - (4*z^2)/a^4 - 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18431] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^4*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 18432] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18433] -> -4 + 7*a^2 + a^4 - 3*a^6 - 13*z^2 + 
   z^2/a^2 + 19*a^2*z^2 + 10*a^4*z^2 - 9*a^6*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   21*a^2*z^4 + 20*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18434] -> 
  6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 3*a^2*z^2 + 12*a^4*z^2 - 21*a^6*z^2 + 
   8*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 6*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18435] -> 
  9 - 4/a^2 - 4*a^2 + 23*z^2 + z^2/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 - 
   10*a^2*z^2 + 27*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 
   17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 18436] -> 3*a^2 - 2*a^4 - a^6 + a^8 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 8*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18437] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 18438] -> 
  -5 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 + 3*a^2 - 14*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18439] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18440] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 18441] -> 
  1 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 18442] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18443] -> 
  -4 + a^(-8) - 2/a^6 - 4/a^4 + 10/a^2 - 11*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (26*z^2)/a^2 - 11*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (29*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18444] -> 4 - a^(-4) - a^(-2) + a^2 - 
   2*a^4 + 4*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18445] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (4*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + (3*z^4)/a^8 + (11*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18446] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   z^2/a^14 + z^2/a^12 - (5*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 - z^4/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 18447] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18448] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   (2*z^2)/a^16 - (13*z^2)/a^14 + (4*z^2)/a^12 + (11*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (7*z^4)/a^14 + (12*z^4)/a^12 + 
   (17*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 18449] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (3*z^2)/a^12 - (18*z^2)/a^10 + 
   (16*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (23*z^4)/a^10 + 
   (32*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (28*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18450] -> a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - 
   (7*z^2)/a^10 + (3*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18451] -> 
  -a^(-14) + 5/a^12 - 10/a^10 + 6/a^8 + a^(-6) - (4*z^2)/a^14 + 
   (16*z^2)/a^12 - (26*z^2)/a^10 + (16*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^14 + (24*z^4)/a^12 - (33*z^4)/a^10 + (12*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (27*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 18452] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 18453] -> 
  4/a^16 - 10/a^14 + 4/a^12 + 2/a^10 + a^(-8) + (4*z^2)/a^16 - 
   (24*z^2)/a^14 + (15*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 - z^4/a^16 - 
   (16*z^4)/a^14 + (26*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (18*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 18454] -> 
  2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 - 
   (2*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (7*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 18455] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18456] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18457] -> 
  4 - 2/a^2 - a^4 + 10*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 24*z^4 - 
   (5*z^4)/a^2 - 29*a^2*z^4 + 11*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 
   41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 18458] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 9*z^2 - z^2/a^6 + (12*z^2)/a^4 - 
   (21*z^2)/a^2 + 16*z^4 - (4*z^4)/a^6 + (25*z^4)/a^4 - (45*z^4)/a^2 + 
   14*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 18459] -> -2 + 9*a^4 - 6*a^6 - 10*z^2 + 
   z^2/a^2 + 7*a^2*z^2 + 24*a^4*z^2 - 13*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 + 28*a^4*z^4 - 11*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18460] -> 
  -4 + 7*a^2 + a^4 - 3*a^6 - 7*z^2 - z^2/a^2 + 17*a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 16*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 18461] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 18462] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 18463] -> -1 - 3*a^2 + 12*a^4 - 7*a^6 - 2*z^2 - 
   13*a^2*z^2 + 43*a^4*z^2 - 19*a^6*z^2 + 3*z^4 - 30*a^2*z^4 + 74*a^4*z^4 - 
   26*a^6*z^4 + 4*z^6 - 30*a^2*z^6 + 68*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 18464] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 
   4*z^2 - z^2/a^2 + 6*a^2*z^2 + 16*a^4*z^2 - 9*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   7*a^2*z^4 + 24*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18465] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   z^4/a^4 + z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 18466] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   11*z^2 - z^2/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18467] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   4*z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 18468] -> 
  2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18469] -> 
  5 - 2/a^2 - 2*a^2 + 15*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + 20*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 
   13*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 18470] -> 7 - 3/a^2 - 3*a^2 + 21*z^2 + (2*z^2)/a^4 - 
   (12*z^2)/a^2 - 8*a^2*z^2 + 43*z^4 + (5*z^4)/a^4 - (27*z^4)/a^2 - 
   15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 18471] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 
   13*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 17*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 18472] -> 
  -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18473] -> 
  -1 + a^(-10) - 3/a^8 + 3/a^4 + a^(-2) - 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 18474] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 5/a^8 + 2/a^6 + a^(-4) + z^2/a^14 - 
   (12*z^2)/a^12 + (22*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 - (2*z^4)/a^12 + (19*z^4)/a^10 - (15*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 + (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18475] -> 2 - a^(-4) + a^(-2) - a^2 + 7*z^2 - 
   z^2/a^4 + z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 15*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 18476] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18477] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 18478] -> 
  4 - 6*a^2 + 3*a^4 + 9*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 22*a^2*z^2 + 
   9*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 27*a^2*z^4 + 10*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18479] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 6*z^2 - 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 9*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 18480] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18481] -> 
  3 - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 15*a^2*z^2 + 
   6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 
   2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18482] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18483] -> 
  2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18484] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 2*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18485] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (4*z^4)/a^12 - (5*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 18486] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - 
   z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18487] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18488] -> 5 - 2/a^2 - 2*a^2 + 15*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 18489] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 6*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 18490] -> 
  -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + z^2/a^2 - 3*a^2*z^2 + 16*a^4*z^2 - 
   7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18491] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 + (5*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 18492] -> 
  a^(-6) - a^(-2) + a^4 - 3*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 18493] -> 
  4 - 5*a^2 + a^4 + a^6 + 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 11*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - 11*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18494] -> 
  -1 + 2/a^2 - a^2 + a^6 - 3*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 18495] -> -a^(-4) + 2/a^2 + z^2/a^6 - z^2/a^2 + 
   a^2*z^2 - 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18496] -> -1 + 4*a^2 - 2*a^4 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   z^6/a^4 + (4*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 18497] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (4*z^2)/a^12 + (11*z^2)/a^10 - 
   (18*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^12 + (5*z^4)/a^10 - 
   (17*z^4)/a^8 + (22*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - 
   (5*z^6)/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18498] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 + (4*z^4)/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 - z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 18499] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 + 
   z^4/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18500] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   15*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 18*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 18501] -> 
  4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 7*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 - z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 18502] -> 
  -1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 3/a^2 - 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 18503] -> 2/a^12 - 4/a^10 - 2/a^8 + 6/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (9*z^2)/a^10 - (4*z^2)/a^8 + (20*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (11*z^4)/a^10 - z^4/a^8 + (25*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18504] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18505] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 - 
   z^2/a^2 + (7*z^4)/a^8 - (26*z^4)/a^6 + (27*z^4)/a^4 - (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (29*z^6)/a^6 + (38*z^6)/a^4 - (12*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (25*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 18506] -> 
  1 + z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (8*z^4)/a^4 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (7*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18507] -> 
  -4 + a^(-4) + 5*a^2 - a^6 - 9*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 18508] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18509] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18510] -> 1 + a^(-2) - 4*a^2 + a^4 + 5*a^6 - 3*a^8 + 
   (3*z^2)/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 5*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18511] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18512] -> -2 + 2/a^2 - 2*a^2 + 4*a^4 - a^8 - 4*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 18513] -> -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18514] -> 
  2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (18*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18515] -> 2 - a^(-10) + 2/a^6 + a^(-4) - 3/a^2 + 
   3*z^2 + (5*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18516] -> -1 - a^(-10) + a^(-8) + a^(-4) + a^2 - 
   2*z^2 + (2*z^2)/a^8 + z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 18517] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18518] -> -6 + 2/a^2 + 11*a^2 - 9*a^4 + 3*a^6 - 
   20*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 29*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 33*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18519] -> 
  2*a^6 + a^10 - 3*a^12 + a^14 + 2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 
   6*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + a^8*z^4 + 8*a^10*z^4 + 
   2*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 4*a^8*z^6 + a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 18520] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 5*a^8*z^2 - a^14*z^2 + a^2*z^4 + 2*a^8*z^4 + 2*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 18521] -> a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 - 
   5*z^2 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 7*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 18522] -> 2 - 2*a^2 + 2*a^6 - a^8 - z^2 + z^2/a^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18523] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   3*a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 18524] -> -6 + a^(-6) - 3/a^4 + 5/a^2 + 
   6*a^2 - 2*a^4 - 19*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (21*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18525] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 3*a^2 + 
   3*a^4 - a^6 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - 7*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18526] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18527] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18528] -> 2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   8*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   16*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18529] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18530] -> 
  1 - a^4 + 2*a^6 - a^8 - 2*z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18531] -> 
  -3 - 2/a^4 + 3/a^2 + 7*a^2 - 4*a^4 - 10*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 12*z^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 
   10*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18532] -> -2 - 3/a^4 + 5/a^2 + 3*a^2 - 2*a^4 - 2*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 18533] -> 3 - a^(-4) - 2*a^2 + 3*a^4 - 2*a^6 + 8*z^2 - 
   z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 18534] -> -2/a^4 + 3/a^2 + a^4 - a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 + 
   z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 18535] -> -4 - a^(-8) + 2/a^6 - 2/a^4 + 4/a^2 + 
   2*a^2 - 12*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18536] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   6*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 18537] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   3*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   14*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18538] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   4*z^2 + z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   z^4/a^4 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18539] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18540] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - z^4/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18541] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18542] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18543] -> 2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 18544] -> 
  5*a^6 - 6*a^8 + 4*a^10 - 3*a^12 + a^14 - 2*a^4*z^2 + 19*a^6*z^2 - 
   19*a^8*z^2 + 10*a^10*z^2 - 3*a^12*z^2 - 5*a^4*z^4 + 23*a^6*z^4 - 
   19*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 4*a^4*z^6 + 13*a^6*z^6 - 
   6*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 2*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 18545] -> 
  2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 - a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 
   5*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 18546] -> a^4 + 4*a^6 - 5*a^8 + a^12 + 13*a^6*z^2 - 
   10*a^8*z^2 - 5*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 
   5*a^8*z^4 - 12*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 
   3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 18547] -> 
  3*a^4 - 4*a^8 + 2*a^10 - a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 8*a^8*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 18548] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18549] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 9*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18550] -> 
  5*a^6 - 3*a^8 - 3*a^10 + 2*a^12 - 2*a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 - 
   8*a^10*z^2 + 5*a^12*z^2 - 7*a^4*z^4 + 22*a^6*z^4 - 8*a^8*z^4 - 
   13*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 18551] -> 
  a^4 + 5*a^6 - 8*a^8 + 3*a^10 - a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 
   15*a^8*z^2 + 2*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 9*a^6*z^4 - 
   10*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 18552] -> a^4 + 4*a^6 - 5*a^8 + a^12 + 2*a^4*z^2 + 
   9*a^6*z^2 - 10*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 
   8*a^6*z^4 - 7*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   6*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 18553] -> 3*a^4 - 4*a^8 + 2*a^10 + 5*a^4*z^2 - 
   6*a^8*z^2 + a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 18554] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + a^4 + 
   3*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + z^4/a^6 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18555] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18556] -> 1 - a^2 + 2*a^4 - a^6 - 5*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18557] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   4*z^2 + 6*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 18558] -> -1 + a^(-2) + 3*a^2 - 5*a^4 + 
   4*a^6 - a^8 - 3*z^2 + 8*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + 14*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18559] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 
   2*a^6 - 14*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 16*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18560] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18561] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 15*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 18562] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 11*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   12*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 18563] -> 
  a^2 + 4*a^4 - 7*a^6 + 3*a^8 - a^2*z^2 + 15*a^4*z^2 - 25*a^6*z^2 + 
   10*a^8*z^2 - 9*a^2*z^4 + 32*a^4*z^4 - 43*a^6*z^4 + 12*a^8*z^4 - 
   12*a^2*z^6 + 39*a^4*z^6 - 36*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 18564] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 
   z^2 - a^2*z^2 + 4*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 2*z^4 + a^2*z^4 + 
   5*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 18565] -> 5*a^2 - 7*a^4 + 4*a^6 - 2*a^8 + 
   a^10 - z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 18*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18566] -> 2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + z^2 - 
   a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18567] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18568] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 18569] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - z^2/a^14 + (3*z^2)/a^12 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (4*z^4)/a^10 - (16*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 18570] -> 
  -8 - a^(-4) + 6/a^2 + 5*a^2 - 2*a^4 + a^6 - 28*z^2 - (4*z^2)/a^4 + 
   (17*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 33*z^4 - (6*z^4)/a^4 + 
   (24*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18571] -> 5*a^2 - 8*a^4 + 6*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 11*a^2*z^2 - 21*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 25*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18572] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18573] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18574] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + 
   (4*z^2)/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 18575] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 5*a^2*z^2 - 
   9*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 
   17*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18576] -> -12 - 2/a^4 + 9/a^2 + 9*a^2 - 5*a^4 + 
   2*a^6 - 34*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 
   a^6*z^2 - 36*z^4 - (6*z^4)/a^4 + (26*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18577] -> 
  -1 + 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + a^8 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 18578] -> 
  -4 + 3/a^2 + 2*a^2 - a^6 + a^8 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 5*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18579] -> 1 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - z^6/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18580] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^14 + (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (14*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^12 + 
   (2*z^4)/a^10 - (18*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 18581] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18582] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   16*a^2*z^2 + 23*a^4*z^2 - 9*a^6*z^2 + 9*z^4 - 33*a^2*z^4 + 42*a^4*z^4 - 
   12*a^6*z^4 + 12*z^6 - 39*a^2*z^6 + 36*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 18583] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   2*z^2 - 3*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 18584] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   2*z^2 - 10*a^2*z^2 + 11*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 
   11*a^2*z^4 + 7*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 
   2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 18585] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 - a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18586] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 9*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18587] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (6*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + (6*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 18588] -> -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18589] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18590] -> 
  2 + a^(-4) - 2/a^2 - z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - 3*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18591] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (16*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - (21*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18592] -> 1 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18593] -> 2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 
   6*z^2 + z^2/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 18594] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18595] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   9*z^4 - (6*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 18596] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 18597] -> -1 + a^(-2) + a^2 - 5*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18598] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 18599] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18600] -> 
  -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18601] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   15*z^4 + z^4/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   11*z^6 + z^6/a^4 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 18602] -> 2 - a^(-10) + 4/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 + (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^10 + (2*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18603] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 11*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   10*z^4 + z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18604] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18605] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^10 + 5*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 + 
   6*a^8*z^2 - 4*a^10*z^2 + 6*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 13*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 18606] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18607] -> 
  -6 + 3/a^2 + 7*a^2 - 4*a^4 + a^8 - 14*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 - 8*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 18608] -> 1 - a^(-10) + 4/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 + (10*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18609] -> 
  4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 2*a^10 - 2*z^2 + 12*a^2*z^2 - 23*a^4*z^2 + 
   22*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 26*a^4*z^4 + 
   23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18610] -> 1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 18611] -> -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18612] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + 5*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 + 8*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 
   14*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 18613] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + 
   z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18614] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18615] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 18616] -> -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 
   3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - 
   (15*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18617] -> -2 + a^(-2) + 4*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18618] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 10*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (16*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18619] -> 
  -4 + a^(-2) + 8*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 18*z^2 + (5*z^2)/a^2 + 
   28*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 27*z^4 + (7*z^4)/a^2 + 
   33*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18620] -> 1 - a^(-8) + 2/a^6 - a^(-2) - a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18621] -> -3 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + a^4 - 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (14*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18622] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 - a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18623] -> -6 + 3/a^2 + 7*a^2 - 4*a^4 + a^8 - 16*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 18624] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 17*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18625] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18626] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18627] -> 
  -a^(-14) + 3/a^12 - 5/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - 
   (6*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 18628] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 3*a^4*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 15*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 
   9*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 18629] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 3*z^2 + 12*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 17*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18630] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   12*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18631] -> -5 + 2/a^2 + 10*a^2 - 11*a^4 + 6*a^6 - a^8 - 
   15*z^2 + (3*z^2)/a^2 + 25*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18632] -> 
  4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 7*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 18633] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 19*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18634] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18635] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18636] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (6*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18637] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18638] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (4*z^4)/a^10 - 
   (11*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 18639] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 
   19*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 23*a^4*z^4 + 
   21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18640] -> 2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 4*z^2 - 
   z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18641] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 3*z^2 + 12*a^2*z^2 - 19*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 5*z^4 + 18*a^2*z^4 - 23*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18642] -> 
  -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (10*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18643] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^8 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 18644] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - 
   (16*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18645] -> 4*a^4 - 9*a^6 + 11*a^8 - 5*a^10 + 
   14*a^4*z^2 - 39*a^6*z^2 + 49*a^8*z^2 - 17*a^10*z^2 + 22*a^4*z^4 - 
   69*a^6*z^4 + 72*a^8*z^4 - 17*a^10*z^4 + 18*a^4*z^6 - 64*a^6*z^6 + 
   49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 18646] -> a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 5*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + 15*a^8*z^2 - 7*a^10*z^2 + 8*a^2*z^4 - 17*a^4*z^4 - 
   a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 7*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18647] -> 
  a^2 + a^4 - 5*a^6 + 8*a^8 - 4*a^10 + 3*a^2*z^2 - a^4*z^2 - 10*a^6*z^2 + 
   22*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 12*a^6*z^4 + 
   23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 10*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18648] -> 
  2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + z^2 + a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 18649] -> 
  2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 6*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 7*a^2*z^4 - 17*a^4*z^4 + a^6*z^4 + 
   15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 18650] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + 
   a^10 - z^2 + 10*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 15*a^2*z^4 - 26*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18651] -> a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 
   5*a^10 - 2*a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 22*a^6*z^2 - 19*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 26*a^6*z^4 - 
   19*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18652] -> -4 + a^(-2) + 8*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   18*z^2 + (5*z^2)/a^2 + 26*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   26*z^4 + (7*z^4)/a^2 + 31*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18653] -> -8 - a^(-4) + 6/a^2 + 5*a^2 - 2*a^4 + a^6 - 
   23*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   25*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18654] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 18655] -> -4 + 2/a^2 + 5*a^2 - 2*a^4 - 
   a^6 + a^8 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 18656] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 18657] -> 
  5*a^2 - 8*a^4 + 6*a^6 - 3*a^8 + a^10 - 2*z^2 + 12*a^2*z^2 - 22*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 24*a^4*z^4 + 
   20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18658] -> 2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18659] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18660] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18661] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (7*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 18662] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18663] -> 
  3*a^2 - 6*a^4 + 6*a^6 - a^8 - a^10 + 8*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 + 
   4*a^8*z^2 - 4*a^10*z^2 + 9*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 + 
   12*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 18664] -> 1 - 2*a^4 + 3*a^6 - a^10 + 
   2*z^2 - 2*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18665] -> 2*a^2 - 5*a^4 + 10*a^6 - 10*a^8 + 6*a^10 - 
   2*a^12 + 6*a^2*z^2 - 18*a^4*z^2 + 31*a^6*z^2 - 23*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 34*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 18666] -> 
  1 - 2*a^2 + 4*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 2*z^2 - 5*a^2*z^2 + 
   7*a^4*z^2 - 4*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18667] -> -12 - 2/a^4 + 9/a^2 + 8*a^2 - 3*a^4 + a^6 - 
   32*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   34*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18668] -> 
  2 - a^(-6) + 4/a^4 - 4/a^2 - a^4 + a^6 - z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 18669] -> 
  6*a^2 - 11*a^4 + 10*a^6 - 6*a^8 + 2*a^10 - 2*z^2 + 13*a^2*z^2 - 
   27*a^4*z^2 + 23*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 
   27*a^4*z^4 + 23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 18670] -> 3 - 4*a^2 + 3*a^4 - a^6 - a^8 + 
   a^10 + 5*z^2 - z^2/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18671] -> 2*a^2 - 3*a^4 + 4*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 5*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 14*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 18672] -> 
  -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18673] -> 1 + a^(-8) - 2/a^6 + 2/a^4 - 
   a^(-2) - a^2 + a^4 - z^2/a^6 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18674] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 10*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 18675] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   2*z^2 + (5*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + z^4 - 
   (8*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18676] -> 
  2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + 4*a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 
   17*a^8*z^2 - 6*a^10*z^2 + 4*a^2*z^4 - 7*a^4*z^4 - 10*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 8*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 18677] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 
   5/a^4 + 2/a^2 + z^2 - (5*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18678] -> -8 - a^(-4) + 6/a^2 + 6*a^2 - 4*a^4 + 
   2*a^6 - 22*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18679] -> 
  3 + 2/a^4 - 3/a^2 - 2*a^2 + a^4 - a^6 + a^8 + 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 18680] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 12*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 3*z^8 - 
   z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 18681] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^6*z^2 + z^4 - z^4/a^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 18682] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 5*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + 
   13*a^8*z^2 - 5*a^10*z^2 + 4*a^2*z^4 - 9*a^4*z^4 - 7*a^6*z^4 + 16*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 18683] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 18684] -> -5 + 2/a^2 + 6*a^2 - 3*a^4 + 
   2*a^6 - a^8 - 14*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18685] -> 
  -7 + 4/a^2 + 6*a^2 - 3*a^4 + a^8 - 17*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 14*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 11*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 18686] -> 
  2/a^4 - 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 18687] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18688] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 18689] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 20*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 18690] -> a^2 + a^4 - 4*a^6 + 6*a^8 - 3*a^10 + 
   4*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 16*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 
   12*a^4*z^4 - 5*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 18691] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + z^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18692] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   10*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18693] -> 
  -3 + 2/a^2 + 2*a^2 - a^4 + 2*a^6 - a^8 - 9*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18694] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   6*z^2 + z^2/a^4 + 13*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 18695] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 
   z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 4*z^4 - 6*a^2*z^4 - 
   6*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 18696] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18697] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18698] -> 
  -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 14*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18699] -> 
  -3 + a^(-2) + 5*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   17*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18700] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 - 26*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18701] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 9*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 6*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18702] -> 2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 
   7*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 18703] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2 + z^2/a^2 - 
   4*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18704] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   14*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 13*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 18705] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (7*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (11*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18706] -> a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + 
   z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18707] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18708] -> 9 - 4/a^2 - a^2 - 6*a^4 + 3*a^6 + 23*z^2 - 
   (8*z^2)/a^2 - 4*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 + 25*z^4 - (5*z^4)/a^2 - 
   10*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 12*z^6 - z^6/a^2 - 12*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 18709] -> 
  3 - 2/a^4 + 3/a^2 - 4*a^2 + a^6 + 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   11*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   14*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18710] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18711] -> 
  1 + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18712] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (10*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18713] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 6*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (14*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18714] -> 
  4 - 2/a^2 - a^4 + 7*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (13*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 18715] -> -2/a^14 + 7/a^12 - 7/a^10 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^14 + (15*z^2)/a^12 - (16*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - (6*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18716] -> 2/a^8 - 8/a^6 + 7/a^4 + a^(-2) - a^2 + z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (17*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (17*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 18717] -> 
  -a^(-14) + 2/a^12 + a^(-10) - 4/a^8 + a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 - (7*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 18718] -> 
  -1 + a^(-10) - 3/a^8 + 3/a^4 + a^(-2) - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 18719] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 6*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - 
   (7*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18720] -> -4 - 2/a^6 + 5/a^4 - a^(-2) + 3*a^2 - 
   19*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - (7*z^2)/a^2 + 11*a^2*z^2 - 28*z^4 - 
   (4*z^4)/a^6 + (22*z^4)/a^4 - (15*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (11*z^6)/a^4 - (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18721] -> 
  5 - a^(-4) - 3*a^2 - a^4 + a^6 + 8*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   8*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   10*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18722] -> -a^(-8) + a^(-6) + 4/a^4 - 5/a^2 + 2*a^2 - 
   4*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 - (14*z^2)/a^2 + 
   5*a^2*z^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (16*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 18723] -> 
  4 - 2/a^2 - a^4 + 9*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 11*z^4 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 18724] -> 
  -4 + 3/a^8 - 9/a^6 + 4/a^4 + 7/a^2 - 12*z^2 + (6*z^2)/a^8 - (22*z^2)/a^6 + 
   (11*z^2)/a^4 + (22*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (23*z^4)/a^6 + 
   (16*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18725] -> 
  2 + a^(-8) - 2/a^6 - 2/a^4 + 4/a^2 - 2*a^2 + 5*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 18726] -> 
  3 - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 6*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   6*a^2*z^4 + 2*a^6*z^4 - z^6 + (2*z^6)/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18727] -> 
  1 - a^(-6) + a^(-4) + a^2 - a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 18728] -> 4 - 2/a^2 - a^4 + 7*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (13*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 18729] -> -6 - 2/a^6 + 4/a^4 + 2/a^2 + 2*a^2 + a^4 - 
   16*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 + 4*a^4*z^2 - 18*z^4 - 
   z^4/a^6 + (8*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 18730] -> -2 - a^(-8) + a^(-6) + 3/a^4 - 
   2/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + (2*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 18731] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (11*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18732] -> 
  a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + z^4/a^12 - (9*z^4)/a^10 + 
   (11*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18733] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (10*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18734] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 8*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 18735] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18736] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 18737] -> 2 - 2/a^4 + 3/a^2 - a^2 - 3*a^4 + 
   2*a^6 + 7*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 + 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 
   4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18738] -> 
  2 - a^(-6) + a^(-4) + a^(-2) - 3*a^2 + a^6 + z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 18739] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 18740] -> -a^(-14) + 4/a^12 - 5/a^10 + 
   a^(-8) + 2/a^4 - (3*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 18741] -> 2/a^12 - 6/a^10 + 4/a^8 + 
   a^(-4) + (3*z^2)/a^12 - (14*z^2)/a^10 + (13*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18742] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 2/a^6 + 
   a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 18743] -> a^(-12) - 3/a^10 + a^(-8) + 
   2/a^6 - a^(-4) + a^(-2) - z^2 + z^2/a^12 - (5*z^2)/a^10 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 + (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 18744] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 9*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (8*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (11*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 18745] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (10*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (12*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18746] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18747] -> 
  1 - a^(-12) + a^(-10) + 3/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 + (2*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18748] -> 1 - a^(-8) + 4/a^4 - 3/a^2 - a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18749] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 4*z^4 + (3*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 18750] -> 
  -1 - 2/a^4 + 4/a^2 + a^2 - 2*a^4 + a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - z^4/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18751] -> 
  a^(-12) - a^(-10) - 3/a^8 + 2/a^6 + 3/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18752] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (7*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   z^4/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18753] -> 3 - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 
   3*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   z^6/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 18754] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 15*z^2 - (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 10*z^4 - z^4/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 + z^6 + (2*z^6)/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18755] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (9*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18756] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) + (3*z^2)/a^12 - (17*z^2)/a^10 + 
   (17*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (17*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18757] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18758] -> 1 - a^(-12) + a^(-10) + 3/a^8 - 5/a^6 + 
   2/a^4 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 18759] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18760] -> -2/a^10 + 7/a^8 - 7/a^6 + 3/a^2 - 
   (5*z^2)/a^10 + (18*z^2)/a^8 - (13*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (13*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18761] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   4*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18762] -> -3 + 2/a^8 - 6/a^6 + 2/a^4 + 6/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (18*z^2)/a^6 + (10*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (14*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18763] -> 4 - a^(-4) - 4*a^4 + 2*a^6 + 9*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18764] -> -3 + 2/a^8 - 6/a^6 + 2/a^4 + 6/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (18*z^2)/a^6 + (10*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (14*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18765] -> 2 - a^(-10) + a^(-8) + a^(-6) + a^(-4) - 
   3/a^2 - a^2 + a^4 + z^2 + (3*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 18766] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 18767] -> 1 + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18768] -> 1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (11*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 18769] -> 
  4 - 2/a^2 - a^4 + 8*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 18770] -> 2 - 2/a^10 + 5/a^8 - 3/a^6 - 
   a^(-2) + 5*z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - (11*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (15*z^4)/a^6 - (10*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 18771] -> -2/a^10 + 4/a^8 - 3/a^4 + 
   a^(-2) + a^2 - z^2 - z^2/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 18772] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 18773] -> 
  3/a^12 - 7/a^10 + 7/a^6 - 2/a^4 + (7*z^2)/a^12 - (22*z^2)/a^10 + 
   (5*z^2)/a^8 + (25*z^2)/a^6 - (9*z^2)/a^4 + (5*z^4)/a^12 - (25*z^4)/a^10 + 
   (13*z^4)/a^8 + (31*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (13*z^6)/a^8 + (20*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18774] -> 2/a^12 - 4/a^10 - 2/a^8 + 6/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (9*z^2)/a^10 - (2*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (14*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18775] -> 
  2/a^12 - 4/a^10 - a^(-8) + 3/a^6 + 2/a^4 - a^(-2) + (3*z^2)/a^12 - 
   (8*z^2)/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 - (2*z^4)/a^8 + (15*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18776] -> 
  a^(-12) - a^(-10) - 3/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 18777] -> 
  -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 6*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (11*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18778] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 9*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (8*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (11*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 18779] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (10*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (12*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18780] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 4*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18781] -> -2 + 2*a^2 + 3*a^4 + a^6 - 4*a^8 + a^10 - 
   3*z^2 - z^2/a^2 + 4*a^2*z^2 + 11*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - z^4 - z^4/a^2 + 6*a^2*z^4 + 13*a^4*z^4 + 4*a^6*z^4 - 
   4*a^8*z^4 + z^6 + 4*a^2*z^6 + 6*a^4*z^6 + 3*a^6*z^6, 
 Knot[15, Alternating, 18782] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18783] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18784] -> 
  -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 7*z^2 + (6*z^2)/a^8 - (20*z^2)/a^6 + 
   (12*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (12*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18785] -> 
  1 + a^(-8) - 2/a^6 - a^(-4) + 3/a^2 - a^2 + 3*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 18786] -> 
  1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 18787] -> 
  4 - 2/a^2 - a^4 + 8*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 18788] -> 1 + 2*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18789] -> 4 - a^(-4) - 4*a^4 + 2*a^6 + 9*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18790] -> 2 - 2/a^4 + 3/a^2 - a^2 - 3*a^4 + 2*a^6 + 
   7*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 
   5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18791] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^4 - 
   3/a^2 + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 18792] -> 
  -1 - a^(-12) + 2/a^10 - 2/a^6 + a^(-4) + a^(-2) + a^2 - 2*z^2 + 
   (3*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 18793] -> -a^(-18) + 5/a^16 - 6/a^14 - 
   a^(-12) + a^(-10) + 3/a^8 + (5*z^2)/a^16 - (14*z^2)/a^14 - z^2/a^12 + 
   (9*z^2)/a^10 + (10*z^2)/a^8 - (9*z^4)/a^14 + (5*z^4)/a^12 + 
   (16*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^12 + (8*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 18794] -> 
  -5 + 4/a^8 - 12/a^6 + 6/a^4 + 8/a^2 - 14*z^2 + (8*z^2)/a^8 - (29*z^2)/a^6 + 
   (16*z^2)/a^4 + (25*z^2)/a^2 - 14*z^4 + (5*z^4)/a^8 - (28*z^4)/a^6 + 
   (20*z^4)/a^4 + (32*z^4)/a^2 - 6*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (15*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18795] -> 
  1 + 2/a^8 - 5/a^6 + 5/a^2 - 2*a^2 + 4*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - (7*z^4)/a^6 - 
   z^4/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18796] -> -4 + 3/a^8 - 9/a^6 + 4/a^4 + 7/a^2 - 
   10*z^2 + (6*z^2)/a^8 - (22*z^2)/a^6 + (13*z^2)/a^4 + (18*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + (15*z^4)/a^4 + (23*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18797] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (9*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18798] -> -2/a^14 + 7/a^12 - 8/a^10 + a^(-8) + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (17*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (15*z^4)/a^10 - 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 18799] -> 2 - a^(-10) + 2/a^8 - a^(-6) + 
   a^(-4) - 2/a^2 + 4*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (10*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 18800] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - 
   a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 4*z^4 + z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 18801] -> 
  -a^(-12) + 2/a^10 - a^(-8) + a^(-6) - a^(-4) + a^2 - z^2 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^8 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 18802] -> -a^(-18) + 5/a^16 - 6/a^14 - 
   2/a^12 + 4/a^10 + a^(-6) + (5*z^2)/a^16 - (15*z^2)/a^14 + (2*z^2)/a^12 + 
   (10*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^14 + (7*z^4)/a^12 + 
   (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 18803] -> 
  a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18804] -> 
  -2 + 2/a^10 - 5/a^8 + a^(-6) + 2/a^4 + 3/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + z^2/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (2*z^4)/a^6 + (14*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 18805] -> 
  1 + a^(-10) - 2/a^8 - a^(-6) + 2/a^4 + a^(-2) - a^2 + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 18806] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   z^4/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 18807] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   2*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18808] -> 8 + 2/a^4 - 8/a^2 + 2*a^2 - 3*a^4 + 15*z^2 + 
   (5*z^2)/a^4 - (19*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 14*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 18809] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18810] -> -2/a^10 + 7/a^8 - 7/a^6 + 3/a^2 - 
   (5*z^2)/a^10 + (18*z^2)/a^8 - (13*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (13*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18811] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   4*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18812] -> 2 - a^(-12) + a^(-10) + 3/a^8 - 4/a^6 + 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (5*z^2)/a^10 + (3*z^2)/a^8 - 
   (8*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (10*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 18813] -> 
  -a^(-12) + a^(-10) + 2/a^8 - a^(-6) - 2/a^4 + a^(-2) + a^2 + (3*z^2)/a^10 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[15, Alternating, 18814] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 18815] -> 2 + a^(-10) - 3/a^8 + 2/a^6 - 
   a^2 + 5*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18816] -> 
  5 + a^(-6) - 3/a^4 - a^2 - a^4 + 11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 18817] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 18818] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (7*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   z^4/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18819] -> a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 - 
   z^4/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18820] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - z^2/a^10 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18821] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 18822] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18823] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18824] -> 8 + 2/a^4 - 8/a^2 + 2*a^2 - 3*a^4 + 15*z^2 + 
   (5*z^2)/a^4 - (19*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 14*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 18825] -> 
  1 - a^(-4) + a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 7*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18826] -> -4 + 3/a^8 - 9/a^6 + 4/a^4 + 7/a^2 - 
   10*z^2 + (6*z^2)/a^8 - (22*z^2)/a^6 + (13*z^2)/a^4 + (18*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + (15*z^4)/a^4 + (23*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18827] -> 1 - a^(-4) + a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   5*z^4 - z^4/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   (2*z^6)/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18828] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^4 - 
   3/a^2 + 3*z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*z^4 - (6*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 
   z^6 + (4*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18829] -> -2/a^18 + 9/a^16 - 11/a^14 + 3/a^10 + 
   2/a^8 - z^2/a^18 + (13*z^2)/a^16 - (29*z^2)/a^14 + (5*z^2)/a^12 + 
   (14*z^2)/a^10 + (7*z^2)/a^8 + (4*z^4)/a^16 - (24*z^4)/a^14 + 
   (14*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - (6*z^6)/a^14 + 
   (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 18830] -> 
  -a^(-18) + 4/a^16 - 3/a^14 - 4/a^12 + 3/a^10 + a^(-8) + a^(-6) + 
   (4*z^2)/a^16 - (9*z^2)/a^14 - (5*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^4)/a^14 + (2*z^4)/a^12 + (12*z^4)/a^10 + (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 18831] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 18832] -> -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 7*z^2 + 
   (6*z^2)/a^8 - (20*z^2)/a^6 + (12*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (12*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18833] -> 1 + a^(-8) - 2/a^6 - a^(-4) + 3/a^2 - a^2 + 
   3*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 + z^4/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 18834] -> 
  1 - a^(-8) + 4/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18835] -> 
  -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 6*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (11*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18836] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 18837] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 18838] -> 
  5 + a^(-6) - 3/a^4 - a^2 - a^4 + 11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 18839] -> 
  -5 + 4/a^8 - 12/a^6 + 6/a^4 + 8/a^2 - 14*z^2 + (8*z^2)/a^8 - (29*z^2)/a^6 + 
   (16*z^2)/a^4 + (25*z^2)/a^2 - 14*z^4 + (5*z^4)/a^8 - (28*z^4)/a^6 + 
   (20*z^4)/a^4 + (32*z^4)/a^2 - 6*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (15*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 18840] -> 
  1 + 2/a^8 - 5/a^6 + 5/a^2 - 2*a^2 + 4*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - (7*z^4)/a^6 - 
   z^4/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18841] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18842] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18843] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 18844] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18845] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18846] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18847] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + (6*z^4)/a^4 - (13*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18848] -> -6 + a^(-2) + 13*a^2 - 9*a^4 + 2*a^6 - 
   18*z^2 + (4*z^2)/a^2 + 30*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18849] -> 
  1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 - z^2 + z^2/a^2 - 4*a^2*z^2 + 10*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 18850] -> 
  -1 + 4*a^2 - 2*a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 + 5*z^4 - z^4/a^4 + 
   z^4/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   8*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 18851] -> 6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 
   3*a^2*z^2 + 12*a^4*z^2 - 21*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   6*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18852] -> 
  3 - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 15*a^2*z^2 + 
   6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 
   2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18853] -> 5 - 2/a^2 - 2*a^2 + 15*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 18854] -> 
  1 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 18855] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18856] -> 
  1 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 18857] -> 
  4 - 6*a^2 + 3*a^4 + 9*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 22*a^2*z^2 + 
   9*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 27*a^2*z^4 + 10*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18858] -> 9 - 4/a^2 - 4*a^2 + 23*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 18859] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 18860] -> 
  4 - 5*a^2 + a^4 + a^6 + 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 11*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - 11*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18861] -> 
  5 - 2/a^2 - 2*a^2 + 15*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + 20*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 
   13*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 18862] -> -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   20*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 18863] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 18864] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 6*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 18865] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 + (10*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18866] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 + z^4/a^8 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (11*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18867] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18868] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 18869] -> -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + (2*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - 
   z^6/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18870] -> -3/a^8 + 4/a^6 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18871] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18872] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 18873] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18874] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18875] -> 
  2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 + 7*a^2*z^2 - 19*a^4*z^2 + 21*a^6*z^2 + 
   a^8*z^2 - 4*a^10*z^2 + 9*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 + 12*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 18876] -> 1 - 3*a^2 + 6*a^4 - 5*a^6 + 4*a^8 - 2*a^10 + 
   3*z^2 - 8*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18877] -> -4 + 2/a^2 + 6*a^2 - 9*a^4 + 10*a^6 - 
   4*a^8 - 12*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 24*a^4*z^2 + 21*a^6*z^2 - 
   4*a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 28*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18878] -> 
  2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 + z^2 + 4*a^2*z^2 - 16*a^4*z^2 + 
   22*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 18*a^4*z^4 + 
   15*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18879] -> a^(-2) - a^2 - 3*a^4 + 8*a^6 - 4*a^8 - 
   5*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 16*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 
   12*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 25*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 9*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18880] -> 
  -3 + 2/a^2 + a^2 + 3*a^6 - 2*a^8 - 5*z^2 + z^2/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 18881] -> 
  -3/a^14 + 8/a^12 - 5/a^10 - 5/a^8 + 6/a^6 - (7*z^2)/a^14 + (29*z^2)/a^12 - 
   (26*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (5*z^4)/a^14 + 
   (36*z^4)/a^12 - (44*z^4)/a^10 - (11*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (36*z^6)/a^10 - (12*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 18882] -> -2/a^14 + 5/a^12 - 3/a^10 - 
   2/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (7*z^2)/a^10 - 
   (9*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (9*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 18883] -> 
  -a^(-14) + 2/a^12 - a^(-10) + a^(-8) - 4/a^6 + 4/a^4 - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (8*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18884] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^8 - 
   a^(-6) - a^(-4) + 2/a^2 - z^2/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - 
   (5*z^4)/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 18885] -> -13 + a^(-6) - 4/a^4 + 9/a^2 + 12*a^2 - 
   4*a^4 - 34*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 22*a^2*z^2 - 
   4*a^4*z^2 - 34*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (31*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18886] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 
   5*a^4 - 2*a^6 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 
   9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18887] -> 
  -4 + 2/a^2 + 6*a^2 - 9*a^4 + 10*a^6 - 4*a^8 - 12*z^2 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 24*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   16*a^2*z^4 - 28*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18888] -> -13 + a^(-6) - 4/a^4 + 9/a^2 + 
   12*a^2 - 4*a^4 - 35*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (24*z^2)/a^2 + 
   26*a^2*z^2 - 6*a^4*z^2 - 37*z^4 + z^4/a^6 - (9*z^4)/a^4 + (25*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18889] -> 2*a^2 - 6*a^4 + 11*a^6 - 7*a^8 + a^10 + 
   7*a^2*z^2 - 21*a^4*z^2 + 27*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 
   27*a^4*z^4 + 21*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 18890] -> 1 - 3*a^2 + 6*a^4 - 4*a^6 + 2*a^8 - a^10 + 
   3*z^2 - 8*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18891] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18892] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18893] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   8*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 18894] -> 
  1 - 2/a^10 + 4/a^8 - 2/a^6 + 3*z^2 - z^2/a^10 + (7*z^2)/a^8 - z^2/a^6 - 
   (6*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18895] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 18896] -> 
  -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^6*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18897] -> -3 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + a^4 - 
   3*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18898] -> -6 + 2/a^6 - 6/a^4 + 8/a^2 + 4*a^2 - a^4 - 
   21*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + z^4/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 18899] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 7*a^2*z^2 - 16*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 22*a^4*z^4 + 
   20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18900] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18901] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 - z^2/a^2 + 16*a^2*z^2 - 
   19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + z^4/a^2 + 22*a^2*z^4 - 
   23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18902] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 18903] -> 
  -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 17*z^2 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18904] -> 
  -3/a^10 + 8/a^8 - 7/a^6 + a^(-4) + 2/a^2 - (6*z^2)/a^10 + (23*z^2)/a^8 - 
   (18*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (24*z^4)/a^8 - 
   (15*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 18905] -> 
  -2/a^10 + 5/a^8 - 3/a^6 - 2/a^4 + 3/a^2 + 2*z^2 - (3*z^2)/a^10 + 
   (10*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18906] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 18907] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18908] -> 1 - 2/a^10 + 5/a^8 - 4/a^6 + a^(-4) + 
   3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18909] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 18910] -> -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   15*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   24*z^4 + (6*z^4)/a^2 + 31*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18911] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 
   19*a^2*z^2 - 23*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 7*z^4 + 
   26*a^2*z^4 - 31*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 18*a^2*z^6 - 
   17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 18912] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   11*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18913] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 7*a^2*z^2 - 17*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 26*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18914] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + z^2 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - z^6/a^10 + 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18915] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + (9*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18916] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 18917] -> 
  a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 4*a^2*z^2 - 9*a^4*z^2 + 
   20*a^6*z^2 - 17*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   18*a^4*z^4 + 25*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 18918] -> a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 
   3*a^10 - a^12 + 3*a^2*z^2 - 8*a^4*z^2 + 19*a^6*z^2 - 15*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 24*a^6*z^4 - 16*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 18919] -> 
  -2 + 2/a^2 + 2*a^6 - a^8 - 6*z^2 + (3*z^2)/a^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18920] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 9*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 - z^4/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (11*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 18921] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (13*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - (5*z^4)/a^8 + 
   (16*z^4)/a^6 - (14*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18922] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 18923] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 4*a^8 + 2*a^10 - a^12 + 7*a^2*z^2 - 17*a^4*z^2 + 
   23*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 
   29*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 18*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 18924] -> 2 + a^(-4) - a^(-2) - 3*a^2 + a^4 + 2*a^6 - 
   a^8 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 18925] -> -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 
   6*z^2 + z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 4*z^4 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 18926] -> 1 - a^2 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   3*z^2 - 4*a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 
   7*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18927] -> 
  -5 + 2/a^6 - 5/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (18*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 18928] -> 
  -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 6*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   14*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18929] -> -6 - a^(-4) + 5/a^2 + 5*a^2 - 
   4*a^4 + 2*a^6 - 18*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18930] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - z^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 
   8*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 18931] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 18932] -> 
  -10 - 2/a^4 + 8/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 25*z^2 - (4*z^2)/a^4 + 
   (16*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18933] -> 
  1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 18934] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + 
   a^2 - 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18935] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18936] -> 1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 18937] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 
   2*a^10 + 4*a^2*z^2 - 6*a^4*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 
   13*a^4*z^4 - a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 
   5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18938] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 18939] -> 
  -3 + 2/a^2 + 2*a^2 - a^4 + 2*a^6 - a^8 - 6*z^2 + z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 18940] -> 
  -6 + a^(-6) - 3/a^4 + 5/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 18941] -> 
  -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18942] -> -5 + 3/a^2 + 5*a^2 - 3*a^4 + a^8 - 13*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 18943] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 
   5*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 6*a^2*z^4 - 
   15*a^4*z^4 + 2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 18944] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 18945] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18946] -> -3 - 2/a^8 + 6/a^6 - 6/a^4 + 4/a^2 + 2*a^2 - 
   11*z^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - (23*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (29*z^4)/a^4 + 
   (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 18947] -> 1 - a^(-8) + 3/a^6 - 2/a^4 - a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18948] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 + 
   z^2 - z^2/a^10 + z^2/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (13*z^4)/a^6 - (17*z^4)/a^4 - z^6/a^10 + z^6/a^8 + 
   (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18949] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18950] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18951] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 18952] -> -2/a^10 + 4/a^8 - a^(-6) - 3/a^4 + 3/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 18953] -> -2 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + a^4 - 
   3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 18954] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + z^2 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 18955] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (22*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 18956] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 10*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 18957] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 - (2*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18958] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 - 
   z^2/a^6 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 18959] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - z^4 - z^4/a^2 + 
   5*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 18960] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 12*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 - z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18961] -> -4 + 2/a^2 + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   13*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 18962] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 18963] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - z^4/a^4 + z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 18964] -> -2 + a^(-4) + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 18965] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 18966] -> 
  -7 + a^(-6) - 2/a^4 + 4/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 26*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 18967] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 18968] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18969] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 5*z^2 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 18970] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 18971] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 18972] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 18973] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 18974] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 18975] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   z^4/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 18976] -> a^(-12) - 8/a^8 + 10/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (11*z^4)/a^10 - (4*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 18977] -> a^(-12) - 2/a^10 - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 18978] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18979] -> -a^(-10) + 4/a^8 - 6/a^6 + 
   3/a^4 + a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + z^4/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 18980] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 18981] -> 2 + a^(-4) - 4/a^2 + 6*a^2 - 
   4*a^4 - z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 18982] -> 
  -4 - a^(-4) + 3/a^2 + 3*a^2 + 2*a^4 - 2*a^6 - 11*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 18983] -> -1 + a^(-6) - 4/a^4 + 4/a^2 + 3*a^2 - 
   2*a^4 + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 18984] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - 2*z^2 + z^2/a^4 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 18985] -> -2 + 11*a^2 - 12*a^4 + 3*a^6 + a^8 - 5*z^2 + 
   23*a^2*z^2 - 26*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 
   24*a^4*z^4 - 8*a^6*z^4 + 6*a^8*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18986] -> 
  5 - a^(-2) - 4*a^2 + 2*a^4 - 3*a^6 + 2*a^8 + 8*z^2 - (2*z^2)/a^2 - 
   9*a^2*z^2 + 4*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 18987] -> -2 + 2/a^8 - 11/a^6 + 13/a^4 - a^(-2) - 
   6*z^2 + (5*z^2)/a^8 - (32*z^2)/a^6 + (46*z^2)/a^4 - (5*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (59*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (16*z^6)/a^6 + (38*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 18988] -> a^(-10) - 4/a^8 + 7/a^4 - 3/a^2 - z^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + (18*z^2)/a^4 - (7*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 + (20*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 18989] -> 
  -2/a^14 + 8/a^12 - 11/a^10 + 5/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (17*z^2)/a^12 - (21*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (20*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 18990] -> -a^(-14) + 2/a^12 + a^(-10) - 5/a^8 + 
   3/a^6 + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (10*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 18991] -> -2*a^2 + 11*a^4 - 12*a^6 + 
   4*a^8 - 4*z^2 + 5*a^2*z^2 + 18*a^4*z^2 - 28*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 
   13*a^2*z^4 + 8*a^4*z^4 - 29*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   3*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 18992] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 11*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 18993] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 + z^2 - z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 13*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 18994] -> 
  7*a^4 - 10*a^6 + 4*a^8 - 2*z^2 + 4*a^2*z^2 + 12*a^4*z^2 - 25*a^6*z^2 + 
   10*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 4*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 18995] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   10*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 18996] -> 4 - 4*a^2 - a^4 + 2*a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 18997] -> -1 + 2/a^2 - 2*a^4 + 2*a^6 - 
   5*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 18998] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   21*a^4*z^4 - 8*a^6*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 18999] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 
   12*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 19000] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - 
   z^2/a^2 - 11*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 
   8*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 19001] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 10*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19002] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (17*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19003] -> 
  a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   z^2/a^8 + (22*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (9*z^4)/a^8 + (25*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19004] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (5*z^2)/a^12 - (24*z^2)/a^10 + 
   (26*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + 
   (40*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (30*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 19005] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (15*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (14*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19006] -> -3 - 2/a^4 + 5/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 
   15*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19007] -> 
  3 - a^(-6) + 2/a^4 - a^(-2) - 3*a^2 + a^6 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 19008] -> 
  4 + a^(-6) - 4/a^4 + 2/a^2 - a^2 - a^4 + 11*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 16*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19009] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19010] -> 1 - a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + 
   2/a^4 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 - 
   z^2/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19011] -> -a^(-14) + 4/a^12 - 6/a^10 + 3/a^8 - 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (14*z^2)/a^10 + 
   (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (17*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19012] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 - 
   (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 19013] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + a^(-6) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19014] -> a^(-12) - a^(-10) - 4/a^8 + 4/a^6 + 2/a^4 - 
   a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 - z^4/a^8 + 
   (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 19015] -> 2 - 3/a^6 + 5/a^4 - 2/a^2 - a^2 + 
   4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19016] -> 
  1 - a^(-12) + a^(-10) + 3/a^8 - 6/a^6 + 4/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 + z^2/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19017] -> -2 + 7*a^2 - 3*a^4 - 3*a^6 + 2*a^8 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19018] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - 
   z^2/a^4 + z^2/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 19019] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 19020] -> -2 - 2/a^8 + 4/a^6 - a^(-4) + 
   2*a^2 - 6*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + 4*a^2*z^2 - 
   10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19021] -> 
  2 - a^(-4) + a^(-2) + a^2 - 4*a^4 + 2*a^6 - 4*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 19022] -> -3 + 2/a^8 - 7/a^6 + 4/a^4 + 
   5/a^2 - 9*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + (21*z^2)/a^4 + (11*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + (35*z^4)/a^4 + (14*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (15*z^6)/a^6 + (29*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19023] -> -4 + 3/a^8 - 10/a^6 + 6/a^4 + 6/a^2 - 
   12*z^2 + (6*z^2)/a^8 - (28*z^2)/a^6 + (24*z^2)/a^4 + (16*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + (40*z^4)/a^4 + (20*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (16*z^6)/a^6 + (33*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (13*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19024] -> 2 + a^(-8) - 3/a^6 + 3/a^2 - 2*a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (10*z^4)/a^6 + (11*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 19025] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[15, Alternating, 19026] -> 
  2 + a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - 2/a^2 - a^2 + 4*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19027] -> 1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19028] -> 
  6 - 3/a^2 - a^2 - a^4 + 16*z^2 + z^2/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 19029] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 2/a^8 + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (16*z^2)/a^10 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (18*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19030] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + 2/a^6 + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19031] -> 3/a^12 - 8/a^10 + 2/a^8 + 6/a^6 - 2/a^4 + 
   (7*z^2)/a^12 - (29*z^2)/a^10 + (22*z^2)/a^8 + (14*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^4)/a^12 - (34*z^4)/a^10 + (41*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (17*z^6)/a^10 + (33*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 19032] -> 2/a^12 - 5/a^10 + a^(-8) + 
   2/a^6 + 2/a^4 - a^(-2) + (3*z^2)/a^12 - (12*z^2)/a^10 + (4*z^2)/a^8 + 
   (11*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (7*z^4)/a^8 + (16*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19033] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (22*z^2)/a^4 + z^2/a^2 - 6*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + 
   (31*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 19034] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^10 + (16*z^2)/a^8 - 
   (17*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (23*z^4)/a^8 - 
   (27*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19035] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - 
   (5*z^2)/a^6 + (21*z^2)/a^4 - (17*z^2)/a^2 + 7*a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^6 + (27*z^4)/a^4 - (32*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (28*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 19036] -> 2 - a^(-8) + a^(-6) + 4/a^4 - 6/a^2 + a^2 + 
   z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - 
   z^4 - z^4/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 19037] -> 
  -2/a^14 + 8/a^12 - 9/a^10 + a^(-8) + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (17*z^2)/a^12 - (20*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (20*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19038] -> -a^(-14) + 3/a^12 - a^(-10) - 3/a^8 + 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - 
   (8*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 19039] -> 
  -2 + 3*a^2 + a^4 + 2*a^6 - 4*a^8 + a^10 - 2*z^2 - z^2/a^2 + 7*a^2*z^2 + 
   a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 19040] -> 
  a^(-12) - 2/a^10 - a^(-8) + a^(-6) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19041] -> 2 - a^(-2) + a^2 - a^4 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19042] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   3*z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19043] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 11*a^2*z^4 - 
   9*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19044] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 22*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (10*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (6*z^4)/a^2 - 8*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 19045] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 25*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (11*z^2)/a^2 - 10*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19046] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 + z^2/a^2 - 
   8*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19047] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 14*z^2 - 
   z^2/a^4 - z^2/a^2 - 22*a^2*z^2 + 8*a^4*z^2 + 13*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 26*a^2*z^4 + 8*a^4*z^4 + 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 19048] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 + z^2/a^2 - 15*a^2*z^2 + 
   6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 
   2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19049] -> -2/a^10 + 6/a^8 - 4/a^6 - 3/a^4 + 4/a^2 - 
   (4*z^2)/a^10 + (22*z^2)/a^8 - (21*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (26*z^4)/a^8 - (37*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (30*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 19050] -> 2 - 2/a^10 + 5/a^8 - 2/a^6 - 
   2/a^4 + 4*z^2 - (2*z^2)/a^10 + (13*z^2)/a^8 - (9*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (14*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19051] -> 2 - a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + 
   3/a^4 - 3/a^2 + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19052] -> -1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 
   a^(-4) + a^(-2) + a^2 - 2*z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + z^4/a^6 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 19053] -> 
  -4 + 4/a^8 - 14/a^6 + 11/a^4 + 4/a^2 - 12*z^2 + (8*z^2)/a^8 - 
   (37*z^2)/a^6 + (36*z^2)/a^4 + (12*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (39*z^4)/a^6 + (51*z^4)/a^4 + (17*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (38*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19054] -> 2 + 2/a^8 - 7/a^6 + 5/a^4 + a^(-2) - 2*a^2 + 
   5*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + (13*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (12*z^4)/a^6 + (15*z^4)/a^4 + (10*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 19055] -> 
  -3 + 3/a^8 - 11/a^6 + 9/a^4 + 3/a^2 - 9*z^2 + (6*z^2)/a^8 - (28*z^2)/a^6 + 
   (28*z^2)/a^4 + (9*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (39*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 19056] -> 
  -2/a^14 + 8/a^12 - 12/a^10 + 6/a^8 + a^(-4) - (3*z^2)/a^14 + 
   (16*z^2)/a^12 - (24*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (20*z^4)/a^10 + z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19057] -> 2 + a^(-10) - 4/a^8 + 4/a^6 - a^(-4) - a^2 + 
   4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19058] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - a^(-4) + a^2 - z^2 + (5*z^2)/a^10 - 
   (9*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (8*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 19059] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + 3/a^12 + 2/a^10 + a^(-6) + (6*z^2)/a^16 - 
   (21*z^2)/a^14 + (10*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (11*z^4)/a^14 + (13*z^4)/a^12 + (13*z^4)/a^10 + (6*z^4)/a^8 + 
   (3*z^4)/a^6 + (6*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 19060] -> a^(-12) - 3/a^10 + 2/a^6 + 2/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + (10*z^4)/a^8 + (12*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19061] -> -2 + 2/a^10 - 6/a^8 + 3/a^6 + a^(-4) + 
   3/a^2 - 5*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (6*z^2)/a^6 + (11*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + z^4/a^10 - (11*z^4)/a^8 + (8*z^4)/a^6 + 
   (19*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 19062] -> 1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 
   a^(-2) - a^2 + z^2 + z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (8*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 19063] -> 2 - a^(-12) + 2/a^10 + a^(-8) - 3/a^6 + 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (7*z^2)/a^10 - (4*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19064] -> 
  -a^(-12) + 2/a^10 - 2/a^4 + a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 - (5*z^2)/a^4 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 19065] -> 2 + a^(-10) - 4/a^8 + 4/a^6 - a^(-4) - a^2 + 
   4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19066] -> -9 - a^(-4) + 4/a^2 + 14*a^2 - 9*a^4 + 
   2*a^6 - 22*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 30*a^2*z^2 - 17*a^4*z^2 + 
   3*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 28*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19067] -> -2 - a^(-4) + 3/a^2 - a^2 + 5*a^4 - 4*a^6 + 
   a^8 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 19068] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 37*z^2 + (2*z^2)/a^6 + z^2/a^4 - 
   (23*z^2)/a^2 - 13*a^2*z^2 + 37*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (17*z^4)/a^2 - 11*a^2*z^4 + 19*z^6 + z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19069] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 29*z^2 + 
   (2*z^2)/a^6 - (18*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (11*z^4)/a^2 - 8*a^2*z^4 + 14*z^6 + z^6/a^6 - (7*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19070] -> 3 - 9*a^2 + 12*a^4 - 5*a^6 + 4*z^2 + 
   z^2/a^2 - 22*a^2*z^2 + 29*a^4*z^2 - 9*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   18*a^2*z^4 + 28*a^4*z^4 - 8*a^6*z^4 - 5*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   15*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19071] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 + z^2/a^2 - 8*a^2*z^2 + 15*a^4*z^2 - 
   6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 19*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19072] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 9*z^2 - z^2/a^4 - 14*a^2*z^2 + 5*a^4*z^2 + 
   7*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 16*a^2*z^4 + 5*a^4*z^4 + z^6 - 
   z^6/a^4 + (5*z^6)/a^2 - 10*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 19073] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (8*z^4)/a^4 - (12*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 19074] -> -2 - a^(-4) + 2/a^2 + 6*a^2 - 6*a^4 + 
   2*a^6 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19075] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 8/a^12 + 2/a^8 - z^2/a^18 + (15*z^2)/a^16 - 
   (41*z^2)/a^14 + (22*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 + 
   (5*z^4)/a^16 - (32*z^4)/a^14 + (29*z^4)/a^12 + (18*z^4)/a^10 + 
   (9*z^4)/a^8 - (8*z^6)/a^14 + (18*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19076] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 4/a^4 + a^(-2) + a^2 - z^2 + 
   (5*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 19077] -> 
  2 + a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 2/a^2 - a^2 + 4*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 19078] -> a^(-6) - 4/a^4 + 4/a^2 + a^2 - 
   a^4 - 6*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19079] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 
   2*a^8*z^2 + z^4 - z^4/a^2 + 12*a^2*z^4 - 14*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19080] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + (18*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (22*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 19081] -> 
  a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (8*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 19082] -> 5 + 2/a^4 - 5/a^2 - a^2 + 5*z^2 + z^2/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19083] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 
   15*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 18*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 19084] -> 
  a^(-12) - 8/a^8 + 10/a^6 - 2/a^4 + z^2/a^12 - (18*z^2)/a^8 + (29*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^4)/a^12 - (4*z^4)/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - z^6/a^8 + (18*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 19085] -> 
  -7 - 2/a^4 + 6/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 28*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19086] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19087] -> 
  2 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 3/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - (5*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19088] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 19089] -> 
  -2 + 2/a^10 - 7/a^8 + 8/a^6 - 6/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (26*z^2)/a^6 - (21*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (29*z^4)/a^6 - (27*z^4)/a^4 + (19*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 19090] -> -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19091] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19092] -> 
  -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 15*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (18*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 19093] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - (2*z^2)/a^2 + 16*a^2*z^2 - 19*a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 21*a^4*z^4 + 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 12*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19094] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (18*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19095] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19096] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 19097] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19098] -> 
  2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + 5*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 
   12*a^8*z^2 - 2*a^12*z^2 + 4*a^2*z^4 - 6*a^4*z^4 - 10*a^6*z^4 + 7*a^8*z^4 + 
   5*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 8*a^6*z^6 - a^8*z^6 + 
   2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 19099] -> 1 - a^2 + a^4 + a^10 - a^12 + 2*z^2 - 
   2*a^2*z^2 + a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 - 2*a^6*z^4 + 2*a^10*z^4 - a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 19100] -> -2 + 2/a^2 - a^2 + 3*a^4 - 
   3*a^6 + 4*a^8 - 2*a^10 - 5*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19101] -> 
  2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + z^2 + 3*a^2*z^2 - 5*a^4*z^2 - 
   2*a^6*z^2 + 10*a^8*z^2 - a^10*z^2 - a^12*z^2 + z^4 + a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 5*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 4*a^4*z^6 - 4*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 19102] -> 1 + a^(-2) - 4*a^2 + 3*a^4 - 
   a^6 + 3*a^8 - 2*a^10 - 2*z^2 + (3*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 - 3*a^2*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19103] -> 
  -2 + 2/a^2 - a^2 + 2*a^4 + a^8 - a^10 - 4*z^2 + z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*a^8*z^2 - 3*z^4 - (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 19104] -> 
  -3/a^14 + 7/a^12 - 4/a^10 - a^(-8) - a^(-6) + 3/a^4 - (4*z^2)/a^14 + 
   (18*z^2)/a^12 - (12*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (16*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19105] -> 
  -2/a^14 + 4/a^12 - a^(-10) - 2/a^8 + a^(-4) + a^(-2) - z^2/a^14 + 
   (7*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19106] -> -a^(-14) + a^(-12) + 2/a^10 - 3/a^8 + 
   a^(-6) - a^(-4) + 2/a^2 - z^2/a^14 + (5*z^2)/a^12 + z^2/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19107] -> 1 - a^(-14) + 2/a^12 - a^(-10) + z^2 + 
   (3*z^2)/a^12 - z^2/a^10 - z^2/a^8 - z^2/a^6 - (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 19108] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + 2*a^6 - a^8 + 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - 4*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 - 
   2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 19109] -> -2 + 2/a^2 - a^2 + 3*a^4 - 3*a^6 + 4*a^8 - 
   2*a^10 - 5*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19110] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 3*a^2 + 
   5*a^4 - 2*a^6 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 19111] -> 2*a^6 + a^10 - 3*a^12 + a^14 + 
   2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 
   3*a^4*z^4 + a^8*z^4 + 8*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 4*a^8*z^6 + a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 19112] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 - 
   6*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19113] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19114] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 13*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19115] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 19116] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 19117] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - a^6*z^2 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 19118] -> -4 - 2/a^8 + 6/a^6 - 11/a^4 + 12/a^2 - 
   8*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (23*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + 
   z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19119] -> 5 - a^(-8) + a^(-6) + a^(-4) - 3/a^2 - 
   2*a^2 + 9*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 19120] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 19121] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19122] -> a^(-4) - a^(-2) + a^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 19123] -> 7*a^6 - 9*a^8 + 3*a^10 - 4*a^4*z^2 + 
   25*a^6*z^2 - 23*a^8*z^2 + 3*a^10*z^2 + 2*a^12*z^2 - 8*a^4*z^4 + 
   29*a^6*z^4 - 19*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 
   17*a^6*z^6 - 3*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 19124] -> 5*a^6 - 6*a^8 + 4*a^10 - 3*a^12 + a^14 - 
   2*a^4*z^2 + 19*a^6*z^2 - 19*a^8*z^2 + 10*a^10*z^2 - 3*a^12*z^2 - 
   5*a^4*z^4 + 23*a^6*z^4 - 19*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   4*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 2*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 19125] -> 2*a^4 + 3*a^6 - 8*a^8 + 5*a^10 - a^12 - 
   2*a^2*z^2 + 6*a^4*z^2 + 8*a^6*z^2 - 16*a^8*z^2 + 5*a^10*z^2 + a^12*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 19126] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 4*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 19127] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 - a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^2 - a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19128] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 4*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 19129] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19130] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 19131] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 19132] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 - 2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19133] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19134] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19135] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19136] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 - 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 19137] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 + a^2*z^2 - 
   5*a^4*z^2 + a^10*z^2 - z^4/a^2 - a^2*z^4 - a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19138] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 19139] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 
   5*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 19140] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19141] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 12*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19142] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 5*z^4 + z^4/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19143] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 - z^2 + 7*a^2*z^2 - 14*a^4*z^2 + 
   19*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19144] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   16*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 6*z^4 + 18*a^2*z^4 - 
   13*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 19145] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 - 
   z^2 + 5*a^2*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 3*a^2*z^4 + 
   a^4*z^4 - 8*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 19146] -> 3*a^2 - 3*a^4 + a^6 + 6*a^2*z^2 - 
   7*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 8*a^2*z^4 - 5*a^4*z^4 - 
   12*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19147] -> 4*a^2 - 5*a^4 + 2*a^6 + 6*a^2*z^2 - 
   8*a^4*z^2 - a^6*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 - 3*a^4*z^4 - 
   5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 4*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 19148] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19149] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - a^2*z^2 - 
   4*a^4*z^2 - a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 - 2*a^4*z^4 - 
   4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 19150] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - a^2*z^2 - 
   5*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 
   13*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19151] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   2*a^2*z^4 - 14*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   5*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 19152] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2/a^2 + 8*a^2*z^2 - 13*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19153] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 19154] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 4*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19155] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19156] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 15*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 19157] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 6*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19158] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19159] -> 2/a^4 - 2/a^2 + a^4 - z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19160] -> -1 + 5*a^2 - 4*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19161] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 9*z^4 - z^4/a^6 - (5*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (10*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 19162] -> 
  a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 3*a^2*z^2 - 7*a^4*z^2 + 
   16*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 
   23*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19163] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 19164] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19165] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19166] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 14*z^4 + z^4/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 11*z^6 + z^6/a^4 + a^2*z^6 + 
   2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 19167] -> 
  2*a^2 - a^4 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   4*z^6 - z^6/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 19168] -> 
  2 + a^(-4) - a^(-2) - a^2 - 2*a^4 + 2*a^6 - z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19169] -> -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4/a^4 + 
   z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 19170] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 19171] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19172] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   3*z^2 + z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 19173] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   14*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   22*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19174] -> -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^4 + 3*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + z^4/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19175] -> -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 
   15*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 19176] -> 
  a^(-4) - a^2 + a^4 - a^6 + a^8 - 3*z^2 - z^2/a^4 - a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 19177] -> -3 + a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + a^8 - 
   8*z^2 - z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   7*z^4 - z^4/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   5*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 19178] -> -2 - a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 + z^2 - 
   (4*z^2)/a^2 + 22*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 + 9*z^4 - (6*z^4)/a^2 + 
   20*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 19179] -> 2 - 2/a^2 + 6*a^2 - 7*a^4 + 
   2*a^6 + 4*z^2 - (4*z^2)/a^2 + 16*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 + 
   8*z^4 - (5*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 19180] -> 
  1 - a^(-4) + a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - z^2/a^4 + 2*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^4 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 19181] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 
   8/a^2 - 7*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 - 
   5*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19182] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   z^2/a^8 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19183] -> 5 - a^(-8) + 4/a^6 - 5/a^4 - 2*a^2 + 9*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19184] -> -2 - a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 + z^2 - 
   (4*z^2)/a^2 + 22*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 + 9*z^4 - (6*z^4)/a^2 + 
   20*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 19185] -> 7 - 3/a^2 - 3*a^2 + 5*z^2 - 
   z^2/a^4 - a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 19186] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 + (7*z^2)/a^6 - (20*z^2)/a^4 + 
   (19*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 19187] -> 
  4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 6*z^2 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19188] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19189] -> 1 - a^(-2) + 2*a^2 - a^6 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19190] -> 
  3 - 2/a^2 + 3*a^2 - 4*a^4 + a^6 + 4*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 19191] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 19192] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 
   5*z^2 + z^2/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 19193] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19194] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   13*z^2 + z^2/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 19195] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19196] -> -5 - 2/a^4 + 6/a^2 + a^2 + 2*a^4 - a^6 - 
   12*z^2 - z^2/a^4 + (9*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   13*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 19197] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19198] -> -5 + 13*a^2 - 8*a^4 + a^6 - 6*z^2 - 
   (2*z^2)/a^2 + 27*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - (5*z^4)/a^2 + 
   24*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 13*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 19199] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 
   7*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19200] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - a^2 + 2*a^4 - 
   a^6 + 3*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19201] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - 5*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 - 9*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19202] -> -2 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 
   2*a^4 - 2*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (2*z^4)/a^6 + z^4/a^4 - (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 19203] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + a^2 + 2*a^4 - a^6 - 6*z^2 + (3*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 19204] -> 3 - 2/a^2 + 3*a^2 - 4*a^4 + a^6 + 
   4*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 19205] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 10*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 19206] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19207] -> -a^(-12) + 6/a^10 - 12/a^8 + 7/a^6 + 2/a^4 - 
   a^(-2) + (4*z^2)/a^10 - (18*z^2)/a^8 + (18*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 + (19*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19208] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (10*z^4)/a^8 - (15*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19209] -> 
  a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (14*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (10*z^4)/a^10 + 
   (15*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19210] -> 
  -2/a^14 + 9/a^12 - 13/a^10 + 6/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (18*z^2)/a^12 - (25*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (21*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19211] -> 2 + 2/a^8 - 10/a^6 + 13/a^4 - 5/a^2 - a^2 + 
   2*z^2 + (3*z^2)/a^8 - (19*z^2)/a^6 + (26*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^8 - (13*z^4)/a^6 + (22*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (10*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 19212] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 4/a^8 + 3/a^6 + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19213] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (9*z^2)/a^4 - a^2*z^2 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 19214] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (20*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (18*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19215] -> -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - z^4/a^4 + 
   (7*z^4)/a^2 - 9*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19216] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + 
   (2*z^4)/a^4 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 19217] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 8*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + 
   (21*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 7*z^4 - (10*z^4)/a^4 + (21*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 19218] -> 
  3 - a^(-2) - a^2 + 4*z^2 - 4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 19219] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   3*z^2 + (3*z^2)/a^2 - a^2*z^2 + a^6*z^2 - z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 19220] -> -a^(-10) + 3/a^8 - 4/a^6 + 
   2/a^4 + a^(-2) + z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (10*z^4)/a^8 - (15*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19221] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (14*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (10*z^4)/a^10 + (15*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19222] -> -3/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 19223] -> 
  -3/a^6 + 5/a^4 - a^(-2) + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19224] -> 2 - 2/a^8 + 5/a^6 - 2/a^4 - 2/a^2 - a^2 + 
   a^4 + 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 19225] -> -a^(-14) + 5/a^12 - 8/a^10 + 
   4/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (19*z^2)/a^10 + 
   (7*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (17*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (9*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19226] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (19*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (18*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (9*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19227] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19228] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) - 
   z^2 + z^2/a^12 - (6*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 + (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 19229] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   4*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19230] -> 1 - a^(-12) + 2/a^10 + a^(-8) - 5/a^6 + 
   4/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 19231] -> 
  2 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19232] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - (3*z^2)/a^8 + 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 19233] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 
   z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 19234] -> 
  -7 - 2/a^4 + 6/a^2 + 7*a^2 - 4*a^4 + a^6 - 25*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 30*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19235] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 19236] -> a^(-12) - 2/a^10 - 2/a^8 + 
   3/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (5*z^4)/a^8 + (19*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19237] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19238] -> -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 - 
   3*z^2 - z^2/a^6 + (7*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   z^6/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 19239] -> 
  8 - a^(-4) - a^(-2) - 8*a^2 + 4*a^4 - a^6 + 13*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 13*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 10*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + (2*z^6)/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19240] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (12*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19241] -> 3/a^12 - 11/a^10 + 12/a^8 - 5/a^6 + 2/a^4 + 
   (3*z^2)/a^12 - (19*z^2)/a^10 + (25*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (12*z^4)/a^10 + (21*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19242] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   4*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19243] -> 1 - a^(-12) + 2/a^10 + a^(-8) - 5/a^6 + 
   4/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 19244] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (13*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19245] -> 2 - a^(-10) + 2/a^8 - 2/a^2 - a^2 + a^4 + 
   (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 - (3*z^4)/a^6 - (3*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 19246] -> 2 + a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   a^(-2) - a^2 + 5*z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 19247] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19248] -> 2 - 2/a^10 + 7/a^8 - 7/a^6 + 2/a^4 - 
   a^(-2) + 5*z^2 - (3*z^2)/a^10 + (18*z^2)/a^8 - (19*z^2)/a^6 - 
   (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (13*z^4)/a^8 - (20*z^4)/a^6 - 
   (9*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19249] -> -2/a^10 + 6/a^8 - 4/a^6 - a^(-4) + a^(-2) + 
   a^2 - z^2 - z^2/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - (7*z^2)/a^4 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 19250] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 - 
   2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19251] -> 
  3/a^12 - 9/a^10 + 4/a^8 + 5/a^6 - 2/a^4 + (7*z^2)/a^12 - (31*z^2)/a^10 + 
   (25*z^2)/a^8 + (16*z^2)/a^6 - (9*z^2)/a^4 + (5*z^4)/a^12 - (37*z^4)/a^10 + 
   (46*z^4)/a^8 + (19*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + 
   (37*z^6)/a^8 + (14*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 19252] -> 2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (3*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (8*z^4)/a^8 + (22*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19253] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19254] -> 2/a^12 - 6/a^10 + 3/a^8 + a^(-6) + 2/a^4 - 
   a^(-2) + (3*z^2)/a^12 - (15*z^2)/a^10 + (12*z^2)/a^8 + (5*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (15*z^4)/a^8 + 
   (10*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + 
   (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19255] -> a^(-12) - 2/a^10 - 2/a^8 + 3/a^6 + 2/a^4 - 
   a^(-2) - z^2 + z^2/a^12 - (5*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (9*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 19256] -> 7 - 3/a^2 - 3*a^2 + 23*z^2 + (3*z^2)/a^4 - 
   (16*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 37*z^4 + (4*z^4)/a^4 - 
   (26*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 31*z^6 + z^6/a^4 - (16*z^6)/a^2 + 
   7*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 19257] -> 
  2 - a^(-4) + a^(-2) - a^2 + 10*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 16*z^4 + z^4/a^6 - (6*z^4)/a^4 - 3*a^4*z^4 + 
   11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 19258] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 4*z^2 - (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (10*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (10*z^4)/a^8 - (14*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19259] -> 
  -2 + 4*a^2 - a^4 + 3*a^6 - 4*a^8 + a^10 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 
   6*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 19260] -> -6 - a^(-4) + 3/a^2 + 10*a^2 - 6*a^4 + a^6 - 
   20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 30*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 
   24*z^4 - z^4/a^4 + (9*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19261] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   (10*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 - (2*z^4)/a^8 + (31*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (17*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19262] -> 
  -5 - 2/a^4 + 6/a^2 + a^2 + 2*a^4 - a^6 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19263] -> 7 - 3/a^2 - 3*a^2 + 12*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19264] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (10*z^2)/a^8 + (25*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (17*z^4)/a^10 + (12*z^4)/a^8 + (22*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (21*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 19265] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) + z^2/a^12 - (4*z^2)/a^10 + z^2/a^8 + z^2/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19266] -> 2 - a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (7*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19267] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^4 - 
   a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 19268] -> -2/a^18 + 11/a^16 - 19/a^14 + 10/a^12 - 
   a^(-10) + 2/a^8 - z^2/a^18 + (14*z^2)/a^16 - (39*z^2)/a^14 + 
   (22*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 + (4*z^4)/a^16 - 
   (27*z^4)/a^14 + (24*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 - 
   (6*z^6)/a^14 + (14*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19269] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 3/a^10 + a^(-6) + (4*z^2)/a^16 - 
   (12*z^2)/a^14 + (11*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (6*z^4)/a^14 + 
   (4*z^4)/a^12 + (13*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 19270] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + 3/a^12 + a^(-10) + 2/a^8 + (5*z^2)/a^16 - 
   (18*z^2)/a^14 + (5*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 - 
   (9*z^4)/a^14 + (8*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 19271] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (12*z^4)/a^6 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19272] -> -2/a^14 + 8/a^12 - 13/a^10 + 8/a^8 - 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (16*z^2)/a^12 - (24*z^2)/a^10 + 
   (12*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (19*z^4)/a^10 + (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (9*z^6)/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19273] -> 
  3/a^12 - 11/a^10 + 12/a^8 - 5/a^6 + 2/a^4 + (3*z^2)/a^12 - (19*z^2)/a^10 + 
   (25*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (21*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (9*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19274] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 4*z^2 - (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (10*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (10*z^4)/a^8 - (14*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19275] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (13*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19276] -> -a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 3/a^4 + 
   a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 19277] -> -a^(-18) + 6/a^16 - 11/a^14 + 5/a^12 + 
   a^(-10) + a^(-6) + (5*z^2)/a^16 - (18*z^2)/a^14 + (9*z^2)/a^12 + 
   (8*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (8*z^4)/a^14 + (9*z^4)/a^12 + 
   (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 19278] -> 
  a^(-12) - 4/a^10 + 2/a^8 + a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (11*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (10*z^4)/a^10 + (14*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19279] -> -2 + 2/a^10 - 7/a^8 + 7/a^6 - 4/a^4 + 
   5/a^2 - 5*z^2 + (3*z^2)/a^10 - (17*z^2)/a^8 + (26*z^2)/a^6 - 
   (17*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (13*z^4)/a^8 + 
   (31*z^4)/a^6 - (24*z^4)/a^4 + (18*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (16*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19280] -> 
  2 + a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - a^(-2) - a^2 + 5*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19281] -> a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (10*z^2)/a^8 + (28*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 - (2*z^4)/a^8 + (31*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (17*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19282] -> 2 - a^(-12) + 2/a^10 + 2/a^8 - 5/a^6 + 
   2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 + z^2/a^8 - 
   (10*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (11*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 19283] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 2/a^6 - a^(-4) + a^(-2) + a^2 + (3*z^2)/a^10 + 
   z^2/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[15, Alternating, 19284] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 19285] -> 
  2 + a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + a^(-2) - a^2 + 5*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (16*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19286] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (14*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (14*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19287] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19288] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 - 
   2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - 8*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19289] -> 
  2 + a^(-4) - 2/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19290] -> 3/a^10 - 9/a^8 + 7/a^6 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - 
   (16*z^4)/a^10 + (14*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^10 + (21*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 19291] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (6*z^4)/a^10 + (2*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19292] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 - 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19293] -> -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - a^4*z^2 + 7*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19294] -> -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 + 
   (6*z^2)/a^10 - (24*z^2)/a^8 + (24*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + z^6/a^8 + (15*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19295] -> 
  2 - a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 2/a^4 - a^(-2) + 3*z^2 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   2*z^4 - (6*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19296] -> -a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 19297] -> -2/a^18 + 11/a^16 - 19/a^14 + 10/a^12 - 
   a^(-10) + 2/a^8 - z^2/a^18 + (14*z^2)/a^16 - (39*z^2)/a^14 + 
   (22*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 + (4*z^4)/a^16 - 
   (27*z^4)/a^14 + (24*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 - 
   (6*z^6)/a^14 + (14*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19298] -> 
  8 - a^(-4) - a^(-2) - 8*a^2 + 4*a^4 - a^6 + 13*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 13*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 10*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + (2*z^6)/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19299] -> -a^(-18) + 5/a^16 - 7/a^14 + 3/a^10 + 
   a^(-6) + (4*z^2)/a^16 - (12*z^2)/a^14 + (11*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^4)/a^14 + (4*z^4)/a^12 + (13*z^4)/a^10 + (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 19300] -> 2 + a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 
   3/a^2 - a^2 + 3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (24*z^2)/a^6 - 
   (26*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 - (27*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19301] -> -6 - a^(-4) + 3/a^2 + 10*a^2 - 6*a^4 + a^6 - 
   20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 30*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 
   24*z^4 - z^4/a^4 + (9*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19302] -> 
  2 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19303] -> 
  2 + a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 3/a^2 - a^2 + 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (24*z^2)/a^6 - (26*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (27*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 19304] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 
   9*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   17*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19305] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (18*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19306] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19307] -> -1 - a^(-6) + 2/a^4 + a^2 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - a^4*z^4 + 3*z^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 19308] -> 7 - 3/a^2 - 3*a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 19309] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19310] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - a^2 + 2*a^4 - a^6 + 3*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19311] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19312] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 19313] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19314] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 19315] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 19316] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - a^4*z^2 + z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 19317] -> 
  5 - 2/a^8 + 5/a^6 - 4/a^4 - a^(-2) - 2*a^2 + 9*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19318] -> -a^(-8) + 2/a^6 - a^(-4) + 2*a^2 - a^4 + 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4/a^8 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 19319] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 19320] -> a^(-4) - a^(-2) + a^2 - z^2 - 
   z^2/a^4 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19321] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 + 
   z^2/a^4 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 19322] -> 
  -2 + 2/a^2 + a^2 - 2*a^4 + a^6 + 3*a^8 - 2*a^10 - 5*z^2 + (3*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 - 
   4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + a^4*z^6 - 
   3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19323] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (17*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - z^4/a^6 - 
   (17*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 19324] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19325] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (17*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19326] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 19327] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 + (4*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19328] -> 1 + a^(-2) - 3*a^2 + a^4 + 3*a^8 - 2*a^10 - 
   2*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 6*z^4 + z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19329] -> -2 + 2/a^2 + a^6 + a^8 - a^10 - 3*z^2 + 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 3*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 19330] -> -3/a^14 + 7/a^12 - 5/a^10 + 
   a^(-8) - 2/a^6 + 3/a^4 - (4*z^2)/a^14 + (18*z^2)/a^12 - (15*z^2)/a^10 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (17*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - 
   (10*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19331] -> 
  -2/a^14 + 4/a^12 - 2/a^10 - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (7*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19332] -> -a^(-14) + a^(-12) + a^(-10) - a^(-8) - 
   a^(-4) + 2/a^2 - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^8 - z^2/a^4 + 
   (3*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 19333] -> 1 - a^(-14) + 2/a^12 - 2/a^10 + 
   2/a^8 - a^(-6) + z^2 + (3*z^2)/a^12 - z^2/a^10 - z^2/a^6 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 19334] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - (3*z^2)/a^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 19335] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 2*z^2 + 
   10*a^2*z^2 - 18*a^4*z^2 + 20*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   12*a^2*z^4 - 22*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 19336] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 19337] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19338] -> -3 + a^(-6) - 3/a^4 + 5/a^2 - 2*a^2 + 
   5*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 
   7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^4 + (8*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 19339] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + 2*a^6 - a^8 - z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 19340] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19341] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19342] -> 
  -2 + 2/a^2 + a^2 - 2*a^4 + a^6 + 3*a^8 - 2*a^10 - 5*z^2 + (3*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 - 
   4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + a^4*z^6 - 
   3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19343] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19344] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19345] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19346] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 19347] -> 
  2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19348] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 7*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19349] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19350] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 7*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 19351] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - z^2 + a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19352] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 19353] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19354] -> 5 - 2/a^8 + 4/a^6 - 2/a^4 - 2/a^2 - 2*a^2 + 
   9*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19355] -> 
  -a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*a^2 - a^4 + z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 19356] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - 
   z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19357] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19358] -> -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 19359] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19360] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19361] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - z^2 - 
   z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 + 
   z^4/a^4 + z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 19362] -> 1 - a^(-4) + a^(-2) + a^4 - a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 + 
   z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 19363] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19364] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - z^2/a^4 - 7*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 19365] -> -6 - 3/a^4 + 7/a^2 + 5*a^2 - 
   2*a^4 - 18*z^2 + z^2/a^6 - (10*z^2)/a^4 + (23*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19366] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - 
   2*a^2*z^2 + 6*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 19367] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - 4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 19368] -> -1 + a^(-4) + a^4 - 2*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19369] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + 3*a^2*z^2 - 3*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + a^2*z^4 + a^4*z^4 - 7*a^6*z^4 - 4*a^8*z^4 + 
   a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 19370] -> 1 - z^2/a^8 + z^2/a^6 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19371] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19372] -> 
  2*a^4 - a^8 + 4*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 19373] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19374] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 19375] -> 
  4*a^2 - 4*a^4 + a^8 - z^2 + 8*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 4*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 - 4*a^8*z^4 + 
   a^10*z^4 - z^6 + 3*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 19376] -> 1 + 2*a^2 - 3*a^4 + a^8 + z^2 + 
   a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 19377] -> a^(-4) - a^(-2) + a^2 - 6*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19378] -> 3 - a^(-2) - a^2 + 3*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19379] -> 
  1 + a^(-4) - a^(-2) + a^2 - 2*a^4 + a^8 - 3*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 19380] -> 1 - z^2/a^4 + z^2/a^2 + a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19381] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19382] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19383] -> 1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   z^2 + 2*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 
   6*a^2*z^4 - 18*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19384] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19385] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   16*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19386] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 19387] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 5*a^2*z^2 - 9*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 15*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19388] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 
   13*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 19389] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 19390] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19391] -> 1 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19392] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 19393] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   6*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   5*z^6 - z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 19394] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 - z^2/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 19395] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19396] -> 1 - z^2/a^4 + z^2/a^2 + a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19397] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 6*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 
   4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 19398] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 7*z^2 + 11*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 19399] -> 
  2*a^2 - a^4 + 5*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 
   8*a^2*z^4 - 4*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 
   3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19400] -> 
  1 + 2*z^2 - 4*a^4*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19401] -> 
  3*a^2 - 3*a^4 + a^6 + 6*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 2*a^10*z^2 - 
   2*z^4 + 2*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 4*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 19402] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 - 2*a^4*z^4 - 4*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 19403] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 8*a^4*z^2 + 
   11*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - z^4 + 2*a^2*z^4 - 14*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19404] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   2*z^2 - z^2/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 11*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19405] -> 
  2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 8*z^2 - (2*z^2)/a^2 - 8*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 + 14*z^4 - (7*z^4)/a^2 - 3*a^2*z^4 - 19*a^4*z^4 + 
   5*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 6*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 19406] -> 3 + a^(-4) - a^(-2) - 3*a^2 - a^4 + 2*a^6 + 
   4*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 - 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19407] -> -1 + 2/a^2 - a^4 + a^8 - 2*z^2 + a^2*z^2 - 
   5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 - 
   7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19408] -> 
  a^(-4) - a^4 + a^8 - z^2 - (2*z^2)/a^2 - 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   3*z^4 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 19409] -> 
  1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19410] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19411] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 23*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19412] -> -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 19413] -> 2 - a^(-2) + a^2 - 2*a^4 + 
   2*a^6 - a^8 - z^2/a^2 + 10*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   6*z^4 + z^4/a^2 + 19*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19414] -> 
  2*a^2 - a^4 - 5*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19415] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19416] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 - 
   8*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 
   12*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 19417] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 - 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19418] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 19419] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 
   4*a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   14*a^4*z^4 + 21*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   13*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 19420] -> -1 - a^(-8) + a^(-6) - a^(-4) + 
   3/a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 19421] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 9*z^2 + 
   (5*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19422] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19423] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19424] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19425] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19426] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19427] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19428] -> 
  -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 11*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19429] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19430] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19431] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19432] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 19433] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19434] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19435] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + z^2 - 
   9*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 
   12*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 19436] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19437] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19438] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 19439] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - 3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19440] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 19441] -> 
  -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19442] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 19443] -> a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19444] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   4*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19445] -> 1 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19446] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + 
   z^2/a^4 - z^2/a^2 - 2*z^4 + z^4/a^8 - (6*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19447] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 22*z^2 + 
   z^2/a^4 + (7*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 19448] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 19449] -> -a^(-4) + 2/a^2 - z^2/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19450] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + z^4/a^8 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 19451] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - 
   z^4/a^6 - z^4/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 19452] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + z^4/a^8 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (11*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19453] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 + 
   (2*z^2)/a^8 - (14*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 19454] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - (7*z^2)/a^8 + (20*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (10*z^4)/a^6 - 
   (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 19455] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^6 - z^4/a^4 + (9*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19456] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 19457] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 19458] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 12*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19459] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 19460] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 + (9*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + 
   z^6/a^4 - (8*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 19461] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 + (7*z^2)/a^6 - (19*z^2)/a^4 + 
   (15*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (2*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 19462] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 
   3*a^2 - 6*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 + z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19463] -> 3/a^10 - 9/a^8 + 7/a^6 + z^2/a^12 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (21*z^2)/a^6 - (3*z^2)/a^4 + (3*z^4)/a^12 - 
   (6*z^4)/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + z^6/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 19464] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - 
   (7*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19465] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 15*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 - z^6/a^6 + (7*z^6)/a^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19466] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (9*z^2)/a^8 + (18*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19467] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19468] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 19469] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 6*z^4 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 19470] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 6*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 19471] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19472] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 19473] -> a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + 
   z^2/a^12 - (5*z^2)/a^8 + (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19474] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 18*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (22*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19475] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^8 + 
   z^2/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 19476] -> -a^(-12) + 7/a^10 - 14/a^8 + 
   9/a^6 + z^2/a^12 + (5*z^2)/a^10 - (24*z^2)/a^8 + (24*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^4)/a^12 - (7*z^4)/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (2*z^6)/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 19477] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 - z^2 + z^2/a^12 - z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 19478] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 19479] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 27*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (20*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19480] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 19481] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 19482] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (20*z^2)/a^6 - (26*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (23*z^4)/a^6 - (33*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19483] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - (4*z^2)/a^14 + (21*z^2)/a^12 - 
   (32*z^2)/a^10 + (12*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + 
   (31*z^4)/a^12 - (48*z^4)/a^10 + (7*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (37*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 19484] -> 2/a^12 - 8/a^10 + 7/a^8 + (5*z^2)/a^12 - 
   (28*z^2)/a^10 + (33*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - 
   (34*z^4)/a^10 + (53*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (17*z^6)/a^10 + (39*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 19485] -> -3/a^8 + 4/a^6 - z^2/a^14 + (3*z^2)/a^12 + 
   z^2/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (2*z^4)/a^10 - (14*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19486] -> 
  -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - (5*z^2)/a^10 + (27*z^2)/a^8 - 
   (32*z^2)/a^6 + (3*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (34*z^4)/a^8 - 
   (52*z^4)/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (17*z^6)/a^8 - 
   (39*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19487] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 4*z^2 + 
   (4*z^2)/a^8 - (23*z^2)/a^6 + (32*z^2)/a^4 - (5*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (32*z^4)/a^6 + (50*z^4)/a^4 - 5*z^6 + z^6/a^8 - 
   (17*z^6)/a^6 + (38*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19488] -> -2/a^6 + 3/a^4 - 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - (4*z^2)/a^6 + (13*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + z^4/a^6 + (18*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 19489] -> 
  -3*a^2 + 11*a^4 - 9*a^6 + 2*a^8 - 13*a^2*z^2 + 48*a^4*z^2 - 46*a^6*z^2 + 
   15*a^8*z^2 - 16*a^2*z^4 + 75*a^4*z^4 - 89*a^6*z^4 + 29*a^8*z^4 - 
   7*a^2*z^6 + 53*a^4*z^6 - 82*a^6*z^6 + 23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 
   40*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 19490] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 40*z^2 - 
   (9*z^2)/a^2 - 53*a^2*z^2 + 20*a^4*z^2 + 66*z^4 - (12*z^4)/a^2 - 
   98*a^2*z^4 + 33*a^4*z^4 + 48*z^6 - (6*z^6)/a^2 - 87*a^2*z^6 + 24*a^4*z^6 + 
   16*z^8 - z^8/a^2 - 41*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 19491] -> 
  -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 7*a^2*z^2 + 14*a^4*z^2 - 
   23*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 5*a^4*z^4 - 30*a^6*z^4 + 
   12*a^8*z^4 - z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 19492] -> 6 - a^(-6) + 7/a^4 - 11/a^2 + 23*z^2 - 
   (6*z^2)/a^6 + (36*z^2)/a^4 - (57*z^2)/a^2 + 34*z^4 - (11*z^4)/a^6 + 
   (62*z^4)/a^4 - (102*z^4)/a^2 + 24*z^6 - (6*z^6)/a^6 + (47*z^6)/a^4 - 
   (88*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (41*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 19493] -> 
  1 - a^(-6) + 6/a^4 - 7/a^2 + 2*a^2 - 5*z^2 - (4*z^2)/a^6 + (20*z^2)/a^4 - 
   (23*z^2)/a^2 + 7*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + (22*z^4)/a^4 - 
   (26*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (16*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 19494] -> 
  -2*a^2 + 9*a^4 - 8*a^6 + 2*a^8 - 3*z^2 + 3*a^2*z^2 + 19*a^4*z^2 - 
   26*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 8*a^4*z^4 - 32*a^6*z^4 + 
   12*a^8*z^4 - z^6 + 10*a^2*z^6 - 5*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 19495] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 13*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 29*a^2*z^2 + 12*a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 34*a^2*z^4 + 13*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 21*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 19496] -> 
  -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 
   10*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 - 
   8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19497] -> 
  6 + 5/a^4 - 10/a^2 + 14*z^2 - z^2/a^8 + (4*z^2)/a^6 + (9*z^2)/a^4 - 
   (31*z^2)/a^2 + 13*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (36*z^4)/a^2 + 
   6*z^6 - z^6/a^8 + (9*z^6)/a^6 - (7*z^6)/a^4 - (21*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 19498] -> 1 + 4/a^4 - 6/a^2 + 2*a^2 - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (13*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 19499] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 6*z^2 - 35*a^2*z^2 + 58*a^4*z^2 - 23*a^6*z^2 + 
   11*z^4 - 62*a^2*z^4 + 102*a^4*z^4 - 34*a^6*z^4 + 6*z^6 - 47*a^2*z^6 + 
   88*a^4*z^6 - 24*a^6*z^6 + z^8 - 16*a^2*z^8 + 41*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 19500] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   10*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   4*a^4*z^4 - 16*a^6*z^4 + 8*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 19501] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 53*z^2 + (9*z^2)/a^4 - (40*z^2)/a^2 - 
   20*a^2*z^2 + 98*z^4 + (12*z^4)/a^4 - (66*z^4)/a^2 - 33*a^2*z^4 + 87*z^6 + 
   (6*z^6)/a^4 - (48*z^6)/a^2 - 24*a^2*z^6 + 41*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 19502] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 18*z^2 + 
   (4*z^2)/a^4 - (17*z^2)/a^2 - 4*a^4*z^2 + 22*z^4 + (4*z^4)/a^4 - 
   (21*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 15*z^6 + z^6/a^4 - (11*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 19503] -> 
  1 - 5*a^2 + 10*a^4 - 5*a^6 - 3*z^2 + z^2/a^2 - 10*a^2*z^2 + 30*a^4*z^2 - 
   13*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 - a^2*z^4 + 35*a^4*z^4 - 13*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 7*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19504] -> 
  -1 + 3*a^2 - a^6 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19505] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 28*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (14*z^2)/a^2 - 12*a^2*z^2 + 34*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - 13*a^2*z^4 + 21*z^6 + z^6/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19506] -> 4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 11*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19507] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 8*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 - 15*a^2*z^4 + 8*a^4*z^4 - 9*z^6 - z^6/a^4 + (10*z^6)/a^2 - 
   14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 19508] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (9*z^2)/a^10 - 
   (23*z^2)/a^8 + (26*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (34*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (19*z^6)/a^6 - (16*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 19509] -> 
  -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 4/a^6 - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (12*z^2)/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (11*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19510] -> 8 - 2/a^2 - 6*a^2 - a^4 + 2*a^6 + 26*z^2 - 
   (7*z^2)/a^2 - 21*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 + 29*z^4 - (5*z^4)/a^2 - 
   27*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - z^6/a^2 - 19*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 19511] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + z^2/a^2 - 4*a^2*z^2 + 25*a^4*z^2 - 
   12*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 33*a^4*z^4 - 13*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 8*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19512] -> 
  6 - a^(-2) - 5*a^2 - a^4 + 2*a^6 + 8*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   13*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   15*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19513] -> -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + 5*a^2*z^2 + 
   10*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 + 
   9*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19514] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 24*z^2 - (5*z^2)/a^2 - 33*a^2*z^2 + 
   13*a^4*z^2 + 45*z^4 - (8*z^4)/a^2 - 69*a^2*z^4 + 24*a^4*z^4 + 37*z^6 - 
   (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 19515] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 18*a^2*z^2 + 8*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   25*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19516] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   11*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (24*z^2)/a^2 + 
   2*a^2*z^2 - 15*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + 
   (30*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19517] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (23*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (10*z^4)/a^10 + (7*z^4)/a^8 + (26*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (14*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19518] -> -a^(-12) + 2/a^10 + 2/a^8 - 6/a^6 + 2/a^4 + 
   2/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 - (21*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (5*z^4)/a^8 - 
   (27*z^4)/a^6 + (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 19519] -> -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 
   17*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 + 20*a^4*z^2 - 12*a^6*z^2 - 21*z^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 + 29*a^4*z^4 - 13*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   14*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19520] -> 
  -4 + a^(-2) + 4*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 - 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   14*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19521] -> 4 - a^(-4) - 2*a^2 + 8*z^2 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 - 
   17*a^2*z^4 + 8*a^4*z^4 - 7*z^6 - z^6/a^4 + (10*z^6)/a^2 - 14*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19522] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 19523] -> -4 - a^(-6) + 5/a^4 - 3/a^2 + 4*a^2 - 
   20*z^2 - (4*z^2)/a^6 + (17*z^2)/a^4 - (11*z^2)/a^2 + 12*a^2*z^2 - 29*z^4 - 
   (4*z^4)/a^6 + (21*z^4)/a^4 - (17*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (11*z^6)/a^4 - (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 19524] -> 
  -4 + 3/a^4 - 2/a^2 + 4*a^2 - 9*z^2 - z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (11*z^2)/a^2 + 6*a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (14*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - z^6/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 19525] -> 
  -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (19*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19526] -> 
  3/a^12 - 12/a^10 + 12/a^8 - 2/a^6 + (6*z^2)/a^12 - (36*z^2)/a^10 + 
   (46*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (37*z^4)/a^10 + 
   (62*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + 
   (41*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 19527] -> 3/a^12 - 12/a^10 + 12/a^8 - 2/a^6 + 
   (6*z^2)/a^12 - (36*z^2)/a^10 + (46*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (37*z^4)/a^10 + (62*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (17*z^6)/a^10 + (41*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 19528] -> 2 - 10*a^2 + 17*a^4 - 8*a^6 + 
   9*z^2 - 47*a^2*z^2 + 73*a^4*z^2 - 28*a^6*z^2 + 12*z^4 - 71*a^2*z^4 + 
   116*a^4*z^4 - 38*a^6*z^4 + 6*z^6 - 49*a^2*z^6 + 94*a^4*z^6 - 25*a^6*z^6 + 
   z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 19529] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 24*z^2 - (5*z^2)/a^2 - 33*a^2*z^2 + 
   13*a^4*z^2 + 45*z^4 - (8*z^4)/a^2 - 69*a^2*z^4 + 24*a^4*z^4 + 37*z^6 - 
   (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 19530] -> 8 - 2/a^6 + 11/a^4 - 16/a^2 + 28*z^2 - 
   (9*z^2)/a^6 + (48*z^2)/a^4 - (72*z^2)/a^2 + 38*z^4 - (12*z^4)/a^6 + 
   (71*z^4)/a^4 - (116*z^4)/a^2 + 25*z^6 - (6*z^6)/a^6 + (49*z^6)/a^4 - 
   (94*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (42*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 19531] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 - 5*z^2 + (2*z^2)/a^2 - 12*a^2*z^2 + 
   36*a^4*z^2 - 15*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 38*a^4*z^4 - 14*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19532] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^4 + (2*z^2)/a^2 - 18*a^2*z^2 + 
   8*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19533] -> 8 - a^(-6) + 9/a^4 - 15/a^2 + 16*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (11*z^2)/a^4 - (37*z^2)/a^2 + 14*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - (39*z^4)/a^2 + 6*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (22*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 19534] -> 2 - 10*a^2 + 17*a^4 - 8*a^6 + 9*z^2 - 
   47*a^2*z^2 + 73*a^4*z^2 - 28*a^6*z^2 + 12*z^4 - 71*a^2*z^4 + 116*a^4*z^4 - 
   38*a^6*z^4 + 6*z^6 - 49*a^2*z^6 + 94*a^4*z^6 - 25*a^6*z^6 + z^8 - 
   16*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 19535] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 - 5*z^2 + (2*z^2)/a^2 - 12*a^2*z^2 + 
   36*a^4*z^2 - 15*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 38*a^4*z^4 - 14*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19536] -> 
  -a^(-6) + 5/a^4 - 4/a^2 - a^2 + 2*a^4 - 3*z^2 - (3*z^2)/a^6 + 
   (12*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (9*z^4)/a^4 - (10*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 19537] -> 3/a^4 - 3/a^2 - a^2 + 2*a^4 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 19538] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 33*z^2 + (5*z^2)/a^4 - (24*z^2)/a^2 - 
   13*a^2*z^2 + 69*z^4 + (8*z^4)/a^4 - (45*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + 
   (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 19539] -> 4 + a^(-4) - 3/a^2 - a^2 + 17*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 19540] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19541] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + 
   (16*z^4)/a^8 - (15*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (19*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19542] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (16*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 19543] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + 3*z^2 - z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19544] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 2*z^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19545] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (8*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (10*z^4)/a^8 + (17*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 19546] -> 4 - a^(-4) + 2/a^2 - 8*a^2 + 
   4*a^4 + 8*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 28*a^2*z^2 + 12*a^4*z^2 + 
   z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 - 34*a^2*z^4 + 13*a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 21*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 
   7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 19547] -> 
  2 - a^(-4) + 3/a^2 - 7*a^2 + 4*a^4 - 4*z^2 - z^2/a^6 - z^2/a^4 + 
   (9*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - 9*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 19548] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 7*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 19549] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 + 
   z^2/a^14 - (9*z^2)/a^12 + (19*z^2)/a^10 - (20*z^2)/a^8 + (18*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (20*z^4)/a^10 - (29*z^4)/a^8 + (26*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^6)/a^10 - (18*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 19550] -> 3 - a^(-4) + 2/a^2 - 4*a^2 - a^4 + 2*a^6 + 
   6*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 13*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 + 
   3*z^4 - z^4/a^4 + (7*z^4)/a^2 - 15*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 19551] -> 1 - a^(-4) + 3/a^2 - 3*a^2 - 
   a^4 + 2*a^6 - z^2 - z^2/a^6 + (5*z^2)/a^2 - 8*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 19552] -> -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 
   2/a^2 - (2*z^2)/a^12 + (12*z^2)/a^10 - (21*z^2)/a^8 + (18*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (27*z^4)/a^8 + 
   (24*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (16*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 19553] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (13*z^2)/a^8 + (25*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (29*z^4)/a^6 - (26*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (15*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 19554] -> -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 7*z^2 + 
   17*a^2*z^2 + a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 
   4*a^4*z^4 - 21*a^6*z^4 + 9*a^8*z^4 - z^6 + 11*a^2*z^6 - 8*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 19555] -> 
  -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - (2*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 7*a^2*z^4 - 7*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19556] -> 
  -3/a^6 + 9/a^4 - 7/a^2 + 2*a^2 - 4*z^2 - (7*z^2)/a^6 + (33*z^2)/a^4 - 
   (33*z^2)/a^2 + 9*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (40*z^4)/a^4 - 
   (55*z^4)/a^2 + 12*a^2*z^4 - 12*z^6 - z^6/a^6 + (19*z^6)/a^4 - 
   (42*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - (15*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 19557] -> 
  -a^(-8) + a^(-6) + 4/a^4 - 5/a^2 + 2*a^2 - (2*z^2)/a^8 + (7*z^2)/a^6 + 
   (7*z^2)/a^4 - (20*z^2)/a^2 + 5*a^2*z^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (25*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (14*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 19558] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 24*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (21*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   30*z^4 + z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19559] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (19*z^2)/a^6 - (27*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (23*z^4)/a^6 - (33*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19560] -> 
  3/a^12 - 9/a^10 + 6/a^8 + a^(-6) - (3*z^2)/a^14 + (17*z^2)/a^12 - 
   (31*z^2)/a^10 + (16*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + 
   (29*z^4)/a^12 - (46*z^4)/a^10 + (10*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (36*z^6)/a^10 - (4*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 19561] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (11*z^2)/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 - (11*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19562] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 - 
   z^2/a^14 + (4*z^2)/a^12 - z^2/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (3*z^4)/a^10 - (15*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19563] -> -2 + 6*a^2 - 3*a^4 - 7*z^2 + 21*a^2*z^2 - 
   11*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 17*a^4*z^4 - 
   12*a^6*z^4 + 8*a^8*z^4 - z^6 + 12*a^2*z^6 - 14*a^4*z^6 - 13*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 19564] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   16*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 21*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 - 11*a^2*z^4 + 8*a^4*z^4 - 15*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 19565] -> 
  3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + (13*z^2)/a^8 - (45*z^2)/a^6 + 
   (49*z^2)/a^4 - (15*z^2)/a^2 + (16*z^4)/a^8 - (74*z^4)/a^6 + (90*z^4)/a^4 - 
   (29*z^4)/a^2 + (7*z^6)/a^8 - (53*z^6)/a^6 + (82*z^6)/a^4 - (23*z^6)/a^2 + 
   z^8/a^8 - (17*z^8)/a^6 + (40*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + 
   (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 19566] -> 
  2/a^8 - 6/a^6 + 5/a^4 - 4*z^2 + (7*z^2)/a^8 - (21*z^2)/a^6 + (15*z^2)/a^4 + 
   (4*z^2)/a^2 - 8*z^4 + (5*z^4)/a^8 - (25*z^4)/a^6 + (18*z^4)/a^4 + 
   (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (14*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 19567] -> a^(-8) - 2/a^6 + 2/a^2 - 4*z^2 + 
   (4*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - 
   (16*z^4)/a^6 + (4*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19568] -> -2 + 7*a^2 - 5*a^4 + a^6 + z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 13*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19569] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - 
   z^2/a^6 + z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 14*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 19570] -> 3/a^8 - 9/a^6 + 8/a^4 - a^(-2) + 
   (3*z^2)/a^10 - (20*z^2)/a^6 + (25*z^2)/a^4 - (7*z^2)/a^2 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 - (11*z^4)/a^6 + (29*z^4)/a^4 - (11*z^4)/a^2 + z^6/a^10 - 
   (10*z^6)/a^8 + (4*z^6)/a^6 + (19*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + 
   (5*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 19571] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - z^2/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 19572] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 + z^2/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (6*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 19573] -> -4*a^2 + 12*a^4 - 8*a^6 + a^8 - 14*a^2*z^2 + 
   50*a^4*z^2 - 44*a^6*z^2 + 14*a^8*z^2 - 16*a^2*z^4 + 76*a^4*z^4 - 
   88*a^6*z^4 + 29*a^8*z^4 - 7*a^2*z^6 + 53*a^4*z^6 - 82*a^6*z^6 + 
   23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 40*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 
   10*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[15, Alternating, 19574] -> 
  -1 + 7*a^4 - 6*a^6 + a^8 - 4*z^2 + 7*a^2*z^2 + 15*a^4*z^2 - 22*a^6*z^2 + 
   9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 5*a^4*z^4 - 30*a^6*z^4 + 12*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 19575] -> -2 + 4*a^2 + 2*a^4 - 4*a^6 + a^8 - 5*z^2 + 
   14*a^2*z^2 + a^4*z^2 - 12*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   6*a^4*z^4 - 19*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 19576] -> 
  -5*a^2 + 13*a^4 - 7*a^6 + 4*z^2 - 32*a^2*z^2 + 61*a^4*z^2 - 25*a^6*z^2 + 
   10*z^4 - 59*a^2*z^4 + 105*a^4*z^4 - 35*a^6*z^4 + 6*z^6 - 46*a^2*z^6 + 
   89*a^4*z^6 - 24*a^6*z^6 + z^8 - 16*a^2*z^8 + 41*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 19577] -> -1 - a^2 + 8*a^4 - 5*a^6 - 6*z^2 + z^2/a^2 - 
   2*a^2*z^2 + 27*a^4*z^2 - 13*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 
   34*a^4*z^4 - 13*a^6*z^4 - 9*z^6 + z^6/a^2 + 8*a^2*z^6 + 21*a^4*z^6 - 
   6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19578] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 + 14*a^4*z^2 - 9*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 + 22*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19579] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 14*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (19*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19580] -> 
  -5 + a^(-2) + 7*a^2 - 2*a^6 - 19*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 + 
   6*a^4*z^2 - 7*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 + 15*a^4*z^4 - 
   9*a^6*z^4 - 11*z^6 + z^6/a^2 + 16*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19581] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 8*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 17*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 16*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19582] -> -2 + 4*a^2 + 2*a^4 - 4*a^6 + a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19583] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 6*z^2 + 
   9*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   12*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19584] -> 
  3 - 2/a^4 + 3/a^2 - 5*a^2 + 2*a^4 + 3*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 - 
   19*a^2*z^2 + 9*a^4*z^2 - 5*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 - 24*a^2*z^4 + 
   10*a^4*z^4 - 9*z^6 - z^6/a^4 + (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19585] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   14*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   16*z^4 - z^4/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   9*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 19586] -> 
  -a^(-18) + 6/a^16 - 11/a^14 + 3/a^12 + 4/a^10 - z^2/a^18 + (12*z^2)/a^16 - 
   (36*z^2)/a^14 + (19*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (33*z^4)/a^14 + (33*z^4)/a^12 + (28*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19587] -> 
  -1 - a^(-4) + 3/a^2 + a^2 - 3*a^4 + 2*a^6 - 10*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19588] -> 
  -3 - a^(-4) + 4/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 7*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 19589] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (8*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 19590] -> 
  a^(-12) - 2/a^10 + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 - (4*z^2)/a^10 - 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 19591] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   12*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   15*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19592] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 5*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (8*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 19593] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 19594] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 19595] -> 
  2 - a^(-2) - a^2 + 4*a^4 - 4*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   8*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   2*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19596] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 6*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 12*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19597] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 2*z^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19598] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 19599] -> -2 - a^(-8) + 2/a^6 + 2*a^2 - 
   9*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19600] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 19601] -> 2 - a^(-2) + 3*a^4 - 5*a^6 + 
   2*a^8 + 6*z^2 - (3*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 13*a^6*z^2 + 
   5*a^8*z^2 + 7*z^4 - z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 11*a^6*z^4 + 
   4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19602] -> 
  2 - a^(-2) + a^2 + a^4 - 4*a^6 + 2*a^8 + 3*z^2 - z^2/a^4 + 2*a^2*z^2 - 
   a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 2*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 19603] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (8*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (20*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 19604] -> a^(-10) - 4/a^8 + 5/a^6 - 
   3/a^4 + 2/a^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - (13*z^4)/a^6 - (11*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (19*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 19605] -> 
  -2/a^6 + 3/a^4 - 4*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (14*z^2)/a^4 + 
   (2*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + (28*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 19606] -> 
  -a^(-18) + 6/a^16 - 11/a^14 + 3/a^12 + 4/a^10 - z^2/a^18 + (12*z^2)/a^16 - 
   (36*z^2)/a^14 + (19*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (33*z^4)/a^14 + (33*z^4)/a^12 + (28*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19607] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (14*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (23*z^4)/a^8 - 
   (30*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19608] -> 16 + 3/a^4 - 12/a^2 - 6*a^2 + 60*z^2 + 
   (12*z^2)/a^4 - (48*z^2)/a^2 - 21*a^2*z^2 + 92*z^4 + (13*z^4)/a^4 - 
   (67*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 19609] -> 
  14 + 3/a^4 - 11/a^2 - 5*a^2 + 32*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (18*z^2)/a^2 - 12*a^2*z^2 + 32*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19610] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (18*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (19*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19611] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   11*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 19612] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (10*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19613] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + z^4/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19614] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 
   2*a^8*z^2 + 7*z^4 - z^4/a^2 + 2*a^2*z^4 - 11*a^4*z^4 - 2*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19615] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19616] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   z^6 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 19617] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - 
   z^2/a^4 - 5*a^4*z^2 + a^6*z^2 + a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 19618] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^10 - 
   (4*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 19619] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 11*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19620] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + 
   a^(-2) - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (18*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (25*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 19621] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + z^2 - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19622] -> -2 - 2/a^8 + 6/a^6 - 5/a^4 + 2/a^2 + 2*a^2 - 
   11*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (22*z^2)/a^4 + (11*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 - z^4/a^8 + (13*z^4)/a^6 - (30*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19623] -> a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 + 
   z^2/a^14 - (10*z^2)/a^12 + (27*z^2)/a^10 - (33*z^2)/a^8 + (23*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (23*z^4)/a^10 - (38*z^4)/a^8 + (28*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^6)/a^10 - (20*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 19624] -> -2/a^18 + 11/a^16 - 20/a^14 + 10/a^12 + 
   2/a^10 - (3*z^2)/a^18 + (27*z^2)/a^16 - (72*z^2)/a^14 + (51*z^2)/a^12 + 
   (11*z^2)/a^10 - z^4/a^18 + (19*z^4)/a^16 - (83*z^4)/a^14 + (87*z^4)/a^12 + 
   (21*z^4)/a^10 + (4*z^6)/a^16 - (38*z^6)/a^14 + (66*z^6)/a^12 + 
   (18*z^6)/a^10 - (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + 
   (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 19625] -> 
  -a^(-18) + 5/a^16 - 7/a^14 - 2/a^12 + 6/a^10 - z^2/a^18 + (10*z^2)/a^16 - 
   (24*z^2)/a^14 + z^2/a^12 + (25*z^2)/a^10 + (2*z^2)/a^8 + (4*z^4)/a^16 - 
   (22*z^4)/a^14 + (11*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - 
   (6*z^6)/a^14 + (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19626] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 7*z^2 + 24*a^2*z^2 - 23*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 26*a^4*z^4 + 2*a^6*z^4 + 
   4*a^8*z^4 - z^6 + 12*a^2*z^6 - 16*a^4*z^6 - 7*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 19627] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 80*z^2 + 
   (16*z^2)/a^4 - (64*z^2)/a^2 - 28*a^2*z^2 + 121*z^4 + (17*z^4)/a^4 - 
   (88*z^4)/a^2 - 38*a^2*z^4 + 95*z^6 + (7*z^6)/a^4 - (56*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 19628] -> 
  7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 19*z^2 + (7*z^2)/a^4 - (24*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 22*z^4 + (5*z^4)/a^4 - (26*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + 15*z^6 + z^6/a^4 - (12*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 19629] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 + 5*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19630] -> 19 + 4/a^4 - 15/a^2 - 7*a^2 + 43*z^2 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (24*z^2)/a^2 - 16*a^2*z^2 + 41*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 - (8*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 19631] -> 
  5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19632] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (3*z^2)/a^10 + (15*z^2)/a^8 - (14*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (23*z^4)/a^8 - (30*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 19633] -> 2 - 4/a^6 + 13/a^4 - 12/a^2 + 
   2*a^2 + z^2 - (8*z^2)/a^6 + (41*z^2)/a^4 - (46*z^2)/a^2 + 9*a^2*z^2 - 
   8*z^4 - (5*z^4)/a^6 + (43*z^4)/a^4 - (64*z^4)/a^2 + 12*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (19*z^6)/a^4 - (44*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (15*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 19634] -> -2/a^8 + 5/a^6 - a^(-4) - 3/a^2 + 2*a^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 - (15*z^2)/a^2 + 5*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - (23*z^4)/a^2 + 4*a^2*z^4 - 
   3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (14*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 19635] -> 
  -11 - 2/a^4 + 8/a^2 + 8*a^2 - 2*a^4 - 34*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (26*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 37*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (28*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19636] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + 
   a^(-2) - (2*z^2)/a^12 + (10*z^2)/a^10 - (21*z^2)/a^8 + (22*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (26*z^4)/a^8 + 
   (26*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (16*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 19637] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (4*z^2)/a^6 + z^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 19638] -> 
  2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 11*z^2 + (7*z^2)/a^6 - (25*z^2)/a^4 + 
   (19*z^2)/a^2 - 9*a^2*z^2 + 21*z^4 + (5*z^4)/a^6 - (29*z^4)/a^4 + 
   (26*z^4)/a^2 - 12*a^2*z^4 + 18*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (19*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 19639] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 12*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 15*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 9*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19640] -> 2/a^6 - 7/a^4 + 7/a^2 - a^2 + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 - 4*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 19641] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 + z^2/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 19642] -> 3 - 14*a^2 + 22*a^4 - 10*a^6 + 
   13*z^2 - 59*a^2*z^2 + 85*a^4*z^2 - 31*a^6*z^2 + 16*z^4 - 84*a^2*z^4 + 
   125*a^4*z^4 - 39*a^6*z^4 + 7*z^6 - 55*a^2*z^6 + 96*a^4*z^6 - 25*a^6*z^6 + 
   z^8 - 17*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 19643] -> 
  -3 + a^(-2) - a^2 + 10*a^4 - 6*a^6 - 12*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   33*a^4*z^2 - 15*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 38*a^4*z^4 - 
   14*a^6*z^4 - 10*z^6 + z^6/a^2 + 8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19644] -> 3 - 13*a^2 + 20*a^4 - 9*a^6 - 4*z^2 + 
   (3*z^2)/a^2 - 20*a^2*z^2 + 45*a^4*z^2 - 17*a^6*z^2 - 14*z^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 42*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19645] -> 
  -3 + a^(-2) + 8*a^4 - 5*a^6 - 9*z^2 + z^2/a^4 + 7*a^2*z^2 + 14*a^4*z^2 - 
   7*a^6*z^2 - 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 11*a^2*z^4 + 10*a^4*z^4 - 
   4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19646] -> 
  -3 + 8*a^2 - 3*a^4 - 2*a^6 + a^8 - 7*z^2 + 23*a^2*z^2 - 12*a^4*z^2 - 
   6*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 18*a^4*z^4 - 13*a^6*z^4 + 
   8*a^8*z^4 - z^6 + 12*a^2*z^6 - 14*a^4*z^6 - 13*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 19647] -> 1 - a^(-2) + 3*a^2 - a^4 - 2*a^6 + a^8 + 
   4*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 10*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19648] -> -3 + 7*a^2 - 2*a^4 - a^6 - 15*z^2 + 
   (3*z^2)/a^2 + 20*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   23*a^2*z^4 + 12*a^4*z^4 - 8*a^6*z^4 - 11*z^6 + z^6/a^2 + 15*a^2*z^6 + 
   13*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19649] -> 
  1 - a^(-2) + 2*a^2 - a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19650] -> 
  8 - a^(-4) - a^(-2) - 7*a^2 + 2*a^4 + 21*z^2 - (3*z^2)/a^4 + z^2/a^2 - 
   26*a^2*z^2 + 9*a^4*z^2 + 17*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 31*a^2*z^4 + 
   10*a^4*z^4 + 2*z^6 - z^6/a^4 + (7*z^6)/a^2 - 18*a^2*z^6 + 5*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19651] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 + 
   z^2 - z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (18*z^2)/a^6 - 
   (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (19*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19652] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + z^4/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19653] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 19654] -> 
  -1 - a^(-4) + 3/a^2 + a^2 - 3*a^4 + 2*a^6 - 10*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19655] -> 
  -3 - a^(-4) + 4/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 7*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 19656] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - 
   (22*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19657] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19658] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 19659] -> 
  2*a^2 - a^4 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19660] -> 
  -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 12*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (14*z^4)/a^2 + 
   8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - (24*z^6)/a^2 + 5*a^2*z^6 - 
   5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 19661] -> -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 
   3*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 19662] -> 
  -4 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^8 + 
   (18*z^2)/a^6 - (30*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (13*z^4)/a^6 - (33*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19663] -> 
  -2/a^18 + 11/a^16 - 20/a^14 + 10/a^12 + 2/a^10 - (3*z^2)/a^18 + 
   (27*z^2)/a^16 - (72*z^2)/a^14 + (51*z^2)/a^12 + (11*z^2)/a^10 - z^4/a^18 + 
   (19*z^4)/a^16 - (83*z^4)/a^14 + (87*z^4)/a^12 + (21*z^4)/a^10 + 
   (4*z^6)/a^16 - (38*z^6)/a^14 + (66*z^6)/a^12 + (18*z^6)/a^10 - 
   (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 19664] -> -a^(-18) + 5/a^16 - 7/a^14 - 2/a^12 + 
   6/a^10 - z^2/a^18 + (10*z^2)/a^16 - (24*z^2)/a^14 + z^2/a^12 + 
   (25*z^2)/a^10 + (2*z^2)/a^8 + (4*z^4)/a^16 - (22*z^4)/a^14 + 
   (11*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - (6*z^6)/a^14 + 
   (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19665] -> 
  3 - 14*a^2 + 22*a^4 - 10*a^6 + 13*z^2 - 59*a^2*z^2 + 85*a^4*z^2 - 
   31*a^6*z^2 + 16*z^4 - 84*a^2*z^4 + 125*a^4*z^4 - 39*a^6*z^4 + 7*z^6 - 
   55*a^2*z^6 + 96*a^4*z^6 - 25*a^6*z^6 + z^8 - 17*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 19666] -> -3 + a^(-2) - a^2 + 10*a^4 - 6*a^6 - 
   12*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 33*a^4*z^2 - 15*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + 38*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19667] -> 
  3 - 13*a^2 + 20*a^4 - 9*a^6 - 4*z^2 + (3*z^2)/a^2 - 20*a^2*z^2 + 
   45*a^4*z^2 - 17*a^6*z^2 - 14*z^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 42*a^4*z^4 - 
   14*a^6*z^4 - 10*z^6 + z^6/a^2 + 6*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19668] -> -3 + a^(-2) + 8*a^4 - 5*a^6 - 9*z^2 + 
   z^2/a^4 + 7*a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 11*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19669] -> -2 - a^(-8) + 2/a^6 + 2*a^2 - 9*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19670] -> 
  -2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 + 2*a^2 - 7*z^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (10*z^2)/a^6 + (5*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 19671] -> -a^(-16) + 6/a^14 - 12/a^12 + 8/a^10 - 
   2/a^8 + 2/a^6 - z^2/a^16 + (11*z^2)/a^14 - (34*z^2)/a^12 + (34*z^2)/a^10 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (4*z^4)/a^14 - (26*z^4)/a^12 + (43*z^4)/a^10 - 
   (16*z^4)/a^8 + (9*z^4)/a^6 - (6*z^6)/a^12 + (22*z^6)/a^10 - (14*z^6)/a^8 + 
   (5*z^6)/a^6 + (4*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^8, 
 Knot[15, Alternating, 19672] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 16*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (29*z^2)/a^4 + (34*z^2)/a^2 + 3*a^2*z^2 - 
   17*z^4 - z^4/a^8 + (11*z^4)/a^6 - (31*z^4)/a^4 + (35*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19673] -> -9 + 2/a^2 + 12*a^2 - 2*a^4 - 2*a^6 - 
   31*z^2 + (7*z^2)/a^2 + 36*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 - 31*z^4 + 
   (5*z^4)/a^2 + 39*a^2*z^4 + 11*a^4*z^4 - 9*a^6*z^4 - 13*z^6 + z^6/a^2 + 
   22*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 7*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19674] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 10*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   23*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   19*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19675] -> 16 + 3/a^4 - 12/a^2 - 6*a^2 + 60*z^2 + 
   (12*z^2)/a^4 - (48*z^2)/a^2 - 21*a^2*z^2 + 92*z^4 + (13*z^4)/a^4 - 
   (67*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 19676] -> 
  14 + 3/a^4 - 11/a^2 - 5*a^2 + 32*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (18*z^2)/a^2 - 12*a^2*z^2 + 32*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (7*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19677] -> -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 
   8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19678] -> 
  -2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 19679] -> -a^(-10) + 2/a^8 + a^(-4) - 3/a^2 + 2*a^2 - 
   z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (10*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 19680] -> -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 
   6*z^2 - z^2/a^10 + (5*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + 
   (6*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 19681] -> 
  4 + a^(-4) - 4/a^2 + 2*a^4 - 2*a^6 + 10*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 + 
   2*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 10*z^4 + z^4/a^4 - (9*z^4)/a^2 + 
   5*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 + 5*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19682] -> 4 + a^(-4) - 4/a^2 + a^2 - a^6 + 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 
   5*z^4 - (2*z^4)/a^4 + 5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 19683] -> 
  3 - 2/a^4 + 3/a^2 - 5*a^2 + 2*a^4 + 3*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 - 
   19*a^2*z^2 + 9*a^4*z^2 - 5*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 - 24*a^2*z^4 + 
   10*a^4*z^4 - 9*z^6 - z^6/a^4 + (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19684] -> -4 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (30*z^2)/a^4 + (24*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 - z^4/a^8 + (13*z^4)/a^6 - (33*z^4)/a^4 + 
   (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19685] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 16*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (29*z^2)/a^4 + (34*z^2)/a^2 + 3*a^2*z^2 - 
   17*z^4 - z^4/a^8 + (11*z^4)/a^6 - (31*z^4)/a^4 + (35*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19686] -> -9 + 2/a^2 + 12*a^2 - 2*a^4 - 2*a^6 - 
   31*z^2 + (7*z^2)/a^2 + 36*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 - 31*z^4 + 
   (5*z^4)/a^2 + 39*a^2*z^4 + 11*a^4*z^4 - 9*a^6*z^4 - 13*z^6 + z^6/a^2 + 
   22*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 7*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19687] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 10*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   23*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   19*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19688] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 80*z^2 + 
   (16*z^2)/a^4 - (64*z^2)/a^2 - 28*a^2*z^2 + 121*z^4 + (17*z^4)/a^4 - 
   (88*z^4)/a^2 - 38*a^2*z^4 + 95*z^6 + (7*z^6)/a^4 - (56*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 19689] -> 
  7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 19*z^2 + (7*z^2)/a^4 - (24*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 22*z^4 + (5*z^4)/a^4 - (26*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + 15*z^6 + z^6/a^4 - (12*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 19690] -> 19 + 4/a^4 - 15/a^2 - 7*a^2 + 43*z^2 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (24*z^2)/a^2 - 16*a^2*z^2 + 41*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 - (8*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 19691] -> 
  5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19692] -> -4 + 12*a^2 - 8*a^4 + a^8 - 8*z^2 + 
   30*a^2*z^2 - 26*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 
   29*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - z^6 + 12*a^2*z^6 - 17*a^4*z^6 - 
   8*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 19693] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 20*z^2 + (4*z^2)/a^2 + 32*a^2*z^2 - 
   11*a^4*z^2 - a^6*z^2 - 23*z^4 + (4*z^4)/a^2 + 33*a^2*z^4 - 5*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 18*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19694] -> 5 - 2/a^2 - 2*a^2 + a^4 - 2*a^6 + a^8 + 
   11*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 8*a^2*z^4 + a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19695] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 11*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 9*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19696] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19697] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 19698] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 19699] -> 
  -a^(-4) + 2/a^2 + a^4 - 2*a^6 + a^8 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 - 3*a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 19700] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6 + a^4*z^6, Knot[15, Alternating, 19701] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 - 2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + a^10*z^2 - 3*z^4 + 5*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 - 
   3*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 19702] -> 
  1 + 2*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 19703] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 19704] -> 
  1 + a^2*z^2 - 2*a^6*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 19705] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 - z^2 + 
   9*a^2*z^2 - 19*a^4*z^2 + 24*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   13*a^2*z^4 - 28*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 17*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 19706] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 5*a^4*z^2 + 
   9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19707] -> 
  2*a^6 - 2*a^8 + 3*a^10 - a^12 - a^14 + 9*a^6*z^2 - 7*a^8*z^2 + 
   10*a^10*z^2 + 6*a^12*z^2 - 6*a^14*z^2 + 12*a^6*z^4 - 11*a^8*z^4 + 
   6*a^10*z^4 + 17*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 12*a^8*z^6 - 
   5*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 19708] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   20*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + z^4/a^2 + 25*a^2*z^4 - 
   26*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19709] -> 2*a^6 - a^8 + a^10 - a^14 + 2*a^4*z^2 + 
   4*a^6*z^2 + 5*a^10*z^2 + 3*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 5*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 19710] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19711] -> -7 + 2/a^6 - 4/a^4 + 5/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 28*z^4 + z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19712] -> 
  a^(-8) - a^(-6) + a^2 - 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 19713] -> -a^(-14) + a^(-12) + a^(-10) - 
   2/a^8 + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 19714] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   2/a^6 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + 
   (9*z^2)/a^6 - (3*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19715] -> 
  a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 
   21*a^6*z^2 - 19*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   16*a^4*z^4 + 26*a^6*z^4 - 25*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 19716] -> 
  a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 - a^4*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 3*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 19717] -> 
  a^6 + a^8 - a^10 + 2*a^12 - 2*a^14 + 6*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 + 
   11*a^12*z^2 - 7*a^14*z^2 + 11*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 + 
   19*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 11*a^8*z^6 - 6*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 19718] -> 
  2*a^6 - 2*a^8 + 3*a^10 - a^12 - a^14 + a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 
   9*a^10*z^2 + 2*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + 
   7*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 19719] -> a^6 + 2*a^8 - 3*a^10 + 3*a^12 - 2*a^14 + 
   a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 
   3*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 + 4*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 19720] -> 
  2*a^6 - a^8 + a^10 - a^14 + 3*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 + 
   a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + 
   3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 19721] -> a^2 - 2*a^4 + 4*a^6 - 4*a^8 + 5*a^10 - 
   3*a^12 + 4*a^2*z^2 - 8*a^4*z^2 + 18*a^6*z^2 - 18*a^8*z^2 + 17*a^10*z^2 - 
   4*a^12*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 23*a^6*z^4 - 27*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 15*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 19722] -> a^2 - 2*a^4 + 4*a^6 - 3*a^8 + 3*a^10 - 
   2*a^12 + z^2 + a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 19723] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 11*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19724] -> 
  a^4 - a^6 + 2*a^8 - a^14 + 4*a^4*z^2 - 2*a^6*z^2 + 5*a^8*z^2 + 4*a^10*z^2 + 
   3*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + 5*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 19725] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 21*a^2*z^2 - 15*a^4*z^2 + 
   4*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 28*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19726] -> 
  a^4 - a^6 + 3*a^8 - 2*a^10 + a^12 - a^14 + a^2*z^2 + 2*a^4*z^2 + 
   5*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 19727] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 
   3*a^4 + a^6 - 4*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 19728] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 - z^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (18*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 19729] -> -3/a^14 + 7/a^12 - 5/a^10 - 2/a^8 + 4/a^6 - 
   (7*z^2)/a^14 + (28*z^2)/a^12 - (24*z^2)/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (5*z^4)/a^14 + (36*z^4)/a^12 - (43*z^4)/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (36*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 19730] -> 
  -2/a^14 + 4/a^12 - a^(-10) - 5/a^8 + 5/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (3*z^2)/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (7*z^4)/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19731] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (13*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19732] -> -2/a^14 + 4/a^12 - 3/a^10 + a^(-8) - 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (10*z^2)/a^10 - z^2/a^6 + 
   (7*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - (8*z^4)/a^8 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19733] -> -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 
   2/a^4 - z^2/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 19734] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + 
   a^4 - 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19735] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19736] -> -3 + a^(-2) + 5*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 12*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 - 18*a^4*z^2 + 14*a^6*z^2 - 
   3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19737] -> 
  -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + 15*a^2*z^2 - 19*a^4*z^2 + 
   20*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 18*a^2*z^4 - 27*a^4*z^4 + 
   24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19738] -> -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   4*z^2 + z^2/a^4 + 6*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 19739] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 4*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19740] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 13*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 
   20*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + z^4/a^2 + 25*a^2*z^4 - 
   26*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19741] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   22*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19742] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 18*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   22*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 23*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   28*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19743] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   18*z^2 - z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 
   20*z^4 - z^4/a^8 + (8*z^4)/a^6 - (22*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19744] -> 
  -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 19*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19745] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 23*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 29*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (22*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19746] -> -2 + 2/a^2 + a^2 - 3*a^4 + 5*a^6 - 
   2*a^8 - 8*z^2 + z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 19747] -> -8 + a^(-6) - 2/a^4 + 4/a^2 + 
   9*a^2 - 3*a^4 - 28*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 
   23*a^2*z^2 - 6*a^4*z^2 - 33*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19748] -> -a^(-14) + a^(-12) + 3/a^10 - 8/a^8 + 
   6/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 + (8*z^2)/a^10 - (22*z^2)/a^8 + 
   (15*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (3*z^4)/a^10 - 
   (27*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19749] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*a^4 - 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19750] -> 
  1 + 2*z^2 - z^2/a^2 - a^2*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19751] -> 
  a^4 - a^8 + 4*a^10 - 3*a^12 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 
   13*a^10*z^2 - 2*a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 
   10*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 19752] -> a^4 + 2*a^10 - 2*a^12 + a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 19753] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 6*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 
   3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 19754] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19755] -> -2/a^12 + 5/a^10 - 5/a^8 + 5/a^6 - 6/a^4 + 
   4/a^2 - (3*z^2)/a^12 + (16*z^2)/a^10 - (21*z^2)/a^8 + (18*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (29*z^4)/a^8 + 
   (22*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (15*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 19756] -> 
  2 - a^(-12) + 2/a^10 - a^(-8) + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19757] -> -a^(-14) + a^(-12) + 3/a^10 - 8/a^8 + 
   6/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 + (8*z^2)/a^10 - (22*z^2)/a^8 + 
   (15*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (3*z^4)/a^10 - 
   (27*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19758] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19759] -> 2 - a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19760] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19761] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 19762] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 - z^2 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - (18*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 19763] -> -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 
   15*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 19764] -> 2*a^2 - 4*a^4 + 5*a^6 - 3*a^8 + 3*a^10 - 
   2*a^12 + 7*a^2*z^2 - 14*a^4*z^2 + 18*a^6*z^2 - 14*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 22*a^6*z^4 - 24*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 19765] -> 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 + a^10 - 
   a^12 + 2*z^2 + a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 19766] -> -2 - 2/a^8 + 5/a^6 - 5/a^4 + 
   4/a^2 + a^2 - 12*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + 
   (17*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (26*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19767] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 19768] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - (21*z^2)/a^4 + (16*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (28*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + 
   (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 19769] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19770] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + 
   a^8 - 3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 8*z^4 - z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 19771] -> -8 + a^(-6) - 2/a^4 + 4/a^2 + 9*a^2 - 
   3*a^4 - 28*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 23*a^2*z^2 - 
   6*a^4*z^2 - 33*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19772] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 7*a^8 + 6*a^10 - 3*a^12 + 7*a^2*z^2 - 17*a^4*z^2 + 
   27*a^6*z^2 - 23*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 + 5*a^2*z^4 - 
   21*a^4*z^4 + 28*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 16*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 19773] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 6*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 19774] -> 
  2 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 5/a^4 + 3*z^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (21*z^2)/a^8 + (25*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (20*z^4)/a^8 + (25*z^4)/a^6 - (12*z^4)/a^4 - 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19775] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 7*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 19776] -> 
  1 - 2*a^2 + 3*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + 3*z^2 - 6*a^2*z^2 + 
   9*a^4*z^2 - 4*a^6*z^2 - a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   7*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 19777] -> 1 - 2*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - 2*a^2*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 19778] -> -9 - 2/a^4 + 7/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   28*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 27*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 30*z^4 - z^4/a^4 + (12*z^4)/a^2 + 31*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19779] -> 
  -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 31*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (24*z^2)/a^2 + 23*a^2*z^2 - 6*a^4*z^2 - 34*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (27*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19780] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19781] -> a^(-4) - a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 19782] -> 
  1 - a^2 + 2*a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 3*z^2 - 3*a^2*z^2 + 5*a^6*z^2 - 
   6*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 19783] -> 
  1 - a^2 + 2*a^6 - a^8 + a^10 - a^12 + z^2 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 3*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 19784] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 7*a^8 + 6*a^10 - 3*a^12 + 7*a^2*z^2 - 17*a^4*z^2 + 
   27*a^6*z^2 - 23*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 + 5*a^2*z^4 - 
   21*a^4*z^4 + 28*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 16*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 19785] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 6*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 19786] -> 
  a^4 + a^6 - a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 + 6*a^8*z^2 - 
   4*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 + 13*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 19787] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + 
   4*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 22*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 19788] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19789] -> -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 
   2*a^8 - 8*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19790] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 13*a^2*z^2 - 15*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19791] -> -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19792] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 19793] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - a^2*z^2 - a^4*z^2 - a^8*z^2 + a^10*z^2 - 
   z^4/a^2 - a^2*z^4 + a^4*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19794] -> 
  1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 3*z^2 - z^2/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 19795] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19796] -> -2 - a^(-8) + 2/a^6 - 2/a^4 + 
   3/a^2 + a^2 - 10*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19797] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 2*z^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 3*z^4 - a^2*z^4 - 
   7*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 19798] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + z^2 + 4*a^2*z^2 - 15*a^4*z^2 + 
   16*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 22*a^4*z^4 + 
   20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19799] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + 
   z^4/a^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 19800] -> 
  a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19801] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 
   3*z^2 - 6*a^2*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   5*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19802] -> 
  2*a^2 - a^4 + z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 19803] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19804] -> a^(-2) - a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19805] -> -4 - 2/a^8 + 6/a^6 - 11/a^4 + 12/a^2 - 
   8*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (23*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + 
   z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19806] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   9*z^2 + z^2/a^2 + 25*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19807] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 
   10*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   20*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 19808] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 19809] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 - z^2/a^4 + 9*a^2*z^2 - 5*a^4*z^2 + 
   z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 19810] -> 
  2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 2*a^4*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 21*a^6*z^4 - 
   19*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19811] -> 7*a^6 - 12*a^8 + 10*a^10 - 5*a^12 + a^14 - 
   2*a^4*z^2 + 22*a^6*z^2 - 28*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 - 
   5*a^4*z^4 + 24*a^6*z^4 - 24*a^8*z^4 + 5*a^10*z^4 + 2*a^12*z^4 - 
   4*a^4*z^6 + 13*a^6*z^6 - 7*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 2*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 19812] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 19813] -> 2 - a^(-2) - a^4 + 3*a^6 - 2*a^8 - z^2/a^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 19814] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - 
   a^4 - 13*z^2 - z^2/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19815] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 + z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 + 19*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19816] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - 
   z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 19817] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   9*z^2 + z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 19818] -> 
  2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 + a^2*z^2 - 11*a^4*z^2 + 
   12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 19*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 19819] -> -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 19820] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19821] -> 2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 19822] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 18*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19823] -> 
  a^(-2) - a^4 + 2*a^6 - 2*a^8 + a^10 - 2*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 19824] -> 2*a^2 - a^4 - z^2 + 7*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19825] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 19826] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   14*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 19827] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 + 
   2*a^2*z^2 + 10*a^4*z^2 - 27*a^6*z^2 + 13*a^8*z^2 - 12*a^2*z^4 + 
   39*a^4*z^4 - 57*a^6*z^4 + 16*a^8*z^4 - 16*a^2*z^6 + 51*a^4*z^6 - 
   46*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 31*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 19828] -> 1 + a^2 - 3*a^6 + 2*a^8 + z^2 + a^2*z^2 + 
   a^4*z^2 - 13*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 
   20*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 8*a^2*z^6 + 8*a^4*z^6 - 11*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19829] -> 2 - a^2 + a^4 - 3*a^6 + 2*a^8 + z^2 - 
   a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 6*a^2*z^4 - a^4*z^4 - 
   14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19830] -> 3*a^6 - 3*a^10 + a^12 + 5*a^6*z^2 + 
   17*a^8*z^2 - 26*a^10*z^2 + 10*a^12*z^2 - 8*a^6*z^4 + 47*a^8*z^4 - 
   54*a^10*z^4 + 15*a^12*z^4 - 15*a^6*z^6 + 53*a^8*z^6 - 45*a^10*z^6 + 
   7*a^12*z^6 - 7*a^6*z^8 + 31*a^8*z^8 - 16*a^10*z^8 + a^12*z^8 - a^6*z^10 + 
   9*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 19831] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 + 2*a^4*z^2 + 5*a^6*z^2 + 5*a^8*z^2 - 
   13*a^10*z^2 + 6*a^12*z^2 - 3*a^4*z^4 + 7*a^6*z^4 + 7*a^8*z^4 - 
   19*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 8*a^8*z^6 - 
   11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 19832] -> 
  2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 + 3*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 
   8*a^10*z^2 + 4*a^12*z^2 - 3*a^4*z^4 + 8*a^6*z^4 + a^8*z^4 - 13*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 19833] -> 2 - a^2 + a^4 - 3*a^6 + 2*a^8 + 2*z^2 - 
   3*a^2*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 + a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19834] -> 
  2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 + 5*a^4*z^2 + a^8*z^2 - 5*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - 6*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 19835] -> 
  a^(-2) + a^4 - 3*a^6 + 2*a^8 + z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 8*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19836] -> 
  a^2 + 2*a^8 - 3*a^10 + a^12 + a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 
   7*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + 4*a^8*z^4 - 
   7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 + 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 19837] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 - z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 19838] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 9*a^4*z^4 + 
   7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 19839] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 8*a^10*z^2 + 
   4*a^12*z^2 - a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 
   3*a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 19840] -> 2*a^4 - 2*a^10 + a^12 + 5*a^4*z^2 - 
   a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 2*a^4*z^4 - 
   a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 19841] -> 2*a^4 - 2*a^10 + a^12 + 3*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 - 8*a^10*z^2 + 4*a^12*z^2 - a^4*z^4 + 4*a^6*z^4 + 
   3*a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 19842] -> 
  a^2 + a^6 - 2*a^10 + a^12 + a^2*z^2 + 2*a^4*z^2 + a^8*z^2 - 4*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 + a^4*z^4 - a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 19843] -> 1 - 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19844] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19845] -> a^(-4) - a^(-2) + a^2 - 6*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19846] -> -2 + 2/a^8 - 4/a^6 - a^(-4) + 
   6/a^2 - 7*z^2 + (5*z^2)/a^8 - (10*z^2)/a^6 - (6*z^2)/a^4 + (19*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19847] -> 1 + 3/a^6 - 8/a^4 + 6/a^2 - a^2 + 3*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 19848] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - 
   z^4/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19849] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (6*z^4)/a^10 - (14*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 19850] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19851] -> -1 + 2/a^8 - 10/a^6 + 12/a^4 - 2/a^2 - 
   5*z^2 + (4*z^2)/a^8 - (26*z^2)/a^6 + (37*z^2)/a^4 - (4*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (28*z^4)/a^6 + (48*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (14*z^6)/a^6 + (33*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19852] -> -a^(-14) + 3/a^12 - a^(-10) - 5/a^8 + 
   4/a^6 + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (6*z^2)/a^10 - 
   (12*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (10*z^4)/a^10 - (18*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 19853] -> 2 - 2*a^2 + a^4 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   7*a^2*z^4 - a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 19854] -> 
  -a^(-14) + 6/a^12 - 9/a^10 + a^(-8) + 4/a^6 - (2*z^2)/a^14 + 
   (12*z^2)/a^12 - (17*z^2)/a^10 - (2*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (14*z^4)/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19855] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (17*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19856] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (16*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (22*z^4)/a^6 + (30*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (26*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 19857] -> -3 - a^(-4) + 4/a^2 + 2*a^2 - 3*a^4 + 
   2*a^6 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   5*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19858] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - (3*z^2)/a^10 + (17*z^2)/a^8 - 
   (22*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (23*z^4)/a^8 - 
   (37*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (28*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19859] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 - z^6/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 19860] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 + z^2/a^10 - (12*z^2)/a^8 + 
   (17*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - (4*z^4)/a^10 - (9*z^4)/a^8 + 
   (19*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + (12*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 19861] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^10 + z^4/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 19862] -> -a^(-8) + 2/a^4 + z^2/a^12 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19863] -> -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - 
   (3*z^2)/a^14 + (15*z^2)/a^12 - (20*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (21*z^4)/a^10 - (6*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19864] -> 2/a^12 - 8/a^10 + 7/a^8 + (3*z^2)/a^12 - 
   (19*z^2)/a^10 + (21*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (15*z^4)/a^10 + (24*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (13*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19865] -> -3/a^8 + 4/a^6 - z^2/a^14 + (3*z^2)/a^12 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (2*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 19866] -> 
  -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 + z^2 - (3*z^2)/a^10 + 
   (18*z^2)/a^8 - (20*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (15*z^4)/a^8 - (23*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   (4*z^6)/a^8 - (13*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19867] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 3*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (20*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (23*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 19868] -> -2/a^6 + 3/a^4 - 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - z^4 - 
   (4*z^4)/a^8 + z^4/a^6 + (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 19869] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (12*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19870] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 2*z^2 + 
   3*a^2*z^2 + 13*a^4*z^2 - 20*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   6*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 19871] -> 
  5 - 8*a^2 + 4*a^4 + 7*z^2 - z^2/a^4 + (3*z^2)/a^2 - 23*a^2*z^2 + 
   10*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 27*a^2*z^4 + 10*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19872] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 3*z^2 + 
   z^2/a^2 - 7*a^2*z^2 + 23*a^4*z^2 - 10*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19873] -> 
  -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 4/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (5*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 19874] -> 4 - 4*a^2 - a^4 + 2*a^6 + 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 11*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 12*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19875] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 - 
   z^2 + z^2/a^12 - (7*z^2)/a^10 + z^2/a^8 + (15*z^2)/a^6 - z^2/a^2 - z^4 - 
   (4*z^4)/a^10 + (5*z^4)/a^8 + (13*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 19876] -> 
  -a^(-12) + 2/a^10 + 2/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + 
   (6*z^2)/a^10 + (2*z^2)/a^8 - (13*z^2)/a^6 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (14*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 19877] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19878] -> -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19879] -> 3/a^12 - 10/a^10 + 8/a^8 + (7*z^2)/a^12 - 
   (33*z^2)/a^10 + (36*z^2)/a^8 - (3*z^2)/a^4 + (5*z^4)/a^12 - 
   (37*z^4)/a^10 + (53*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - 
   (18*z^6)/a^10 + (38*z^6)/a^8 + (7*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 19880] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (9*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (11*z^4)/a^8 + (16*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19881] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 - (3*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + (20*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19882] -> 7 - 3/a^2 - 3*a^2 + 18*z^2 + (3*z^2)/a^4 - 
   (13*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 15*z^4 + (5*z^4)/a^4 - 
   (16*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 19883] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 19884] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 7*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19885] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 20*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (12*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - 
   (6*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19886] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19887] -> -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19888] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 19889] -> -a^(-8) + 2/a^4 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + z^4/a^10 - 
   (12*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19890] -> 3/a^12 - 12/a^10 + 12/a^8 - 2/a^6 + 
   (3*z^2)/a^12 - (22*z^2)/a^10 + (26*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (15*z^4)/a^10 + (25*z^4)/a^8 + (14*z^4)/a^6 - 
   (3*z^4)/a^2 - (4*z^6)/a^10 + (13*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19891] -> 3/a^12 - 12/a^10 + 12/a^8 - 2/a^6 + 
   (3*z^2)/a^12 - (22*z^2)/a^10 + (26*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (15*z^4)/a^10 + (25*z^4)/a^8 + (14*z^4)/a^6 - 
   (3*z^4)/a^2 - (4*z^6)/a^10 + (13*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19892] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 11*a^2*z^2 + 30*a^4*z^2 - 12*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 31*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19893] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - z^2 + z^2/a^12 - (5*z^2)/a^10 + 
   (3*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 19894] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   12*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19895] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 11*a^2*z^2 + 30*a^4*z^2 - 12*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 31*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19896] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 4*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (33*z^2)/a^4 - (5*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (46*z^4)/a^4 + (2*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (34*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 19897] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 3*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (9*z^4)/a^6 + (6*z^4)/a^4 + 
   (17*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 19898] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 29*z^2 + 
   (4*z^2)/a^4 - (21*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 41*z^4 + 
   (4*z^4)/a^4 - (28*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 32*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 19899] -> 
  5 - 2/a^2 - 2*a^2 + 13*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 17*z^4 + z^4/a^6 - (6*z^4)/a^4 - 3*a^4*z^4 + 
   11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 19900] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 10*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (23*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 21*z^4 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (32*z^4)/a^2 + 5*a^2*z^4 - 16*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 19901] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (20*z^2)/a^8 + (25*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + (4*z^4)/a^10 - (19*z^4)/a^8 + (32*z^4)/a^6 - (23*z^4)/a^4 + 
   (6*z^4)/a^2 - (6*z^6)/a^8 + (18*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 19902] -> -a^(-10) + 6/a^8 - 10/a^6 + 5/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (22*z^2)/a^8 - (30*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (29*z^4)/a^8 - (43*z^4)/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (33*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 19903] -> -a^(-10) + 5/a^8 - 6/a^6 + 
   3/a^2 + z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19904] -> 3 - 2/a^6 + 8/a^4 - 9/a^2 + a^2 + 4*z^2 - 
   (5*z^2)/a^6 + (27*z^2)/a^4 - (34*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - 
   (4*z^4)/a^6 + (31*z^4)/a^4 - (47*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 19905] -> 10 - 3/a^2 - 8*a^2 + a^4 + a^6 + 34*z^2 - 
   (7*z^2)/a^2 - 37*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 + 40*z^4 - (5*z^4)/a^2 - 
   57*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 + 19*z^6 - z^6/a^2 - 42*a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 + 3*z^8 - 15*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - 
   2*a^2*z^10 - a^4*z^10, Knot[15, Alternating, 19906] -> 
  5 - a^(-4) + a^(-2) - 6*a^2 + a^4 + a^6 + 6*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 19*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 - 24*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 
   14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 19907] -> 2 - 3/a^6 + 9/a^4 - 8/a^2 + a^2 + 4*z^2 - 
   (7*z^2)/a^6 + (32*z^2)/a^4 - (35*z^2)/a^2 + 5*a^2*z^2 - z^4 - 
   (5*z^4)/a^6 + (37*z^4)/a^4 - (52*z^4)/a^2 + 8*a^2*z^4 - 7*z^6 - z^6/a^6 + 
   (18*z^6)/a^4 - (38*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 19908] -> 2 - a^(-8) + a^(-6) + 4/a^4 - 6/a^2 + a^2 + 
   3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - (18*z^2)/a^2 + 
   3*a^2*z^2 - z^4/a^8 + (8*z^4)/a^6 - (2*z^4)/a^4 - (21*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 19909] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (21*z^2)/a^6 - (22*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (19*z^4)/a^6 - (32*z^4)/a^4 + (23*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19910] -> -1 + 6*a^4 - 4*a^6 - 4*z^2 + 6*a^2*z^2 + 
   13*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 8*a^4*z^4 - 
   21*a^6*z^4 + 8*a^8*z^4 - z^6 + 9*a^2*z^6 - 2*a^4*z^6 - 15*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 19911] -> -2 + 4*a^2 + a^4 - 2*a^6 - z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19912] -> 5 - 2/a^4 + 2/a^2 - 6*a^2 + 2*a^4 + 6*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 15*a^2*z^2 + 6*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 19913] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + 2*z^2 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   (6*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6 + (4*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 19914] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 5*z^2 + 12*a^2*z^2 + 5*a^4*z^2 - 13*a^6*z^2 + 
   6*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 2*a^4*z^4 - 22*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 19915] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 19916] -> 
  1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 3*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 12*z^4 - z^4/a^4 + (9*z^4)/a^2 - 
   10*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19917] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19918] -> 
  -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19919] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 6*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19920] -> 
  -2 + 7*a^2 - 3*a^4 - 3*a^6 + 2*a^8 - 3*z^2 - z^2/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 
   14*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19921] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 + z^2 + z^2/a^2 - 
   18*a^2*z^2 + 33*a^4*z^2 - 12*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 12*a^2*z^4 + 
   34*a^4*z^4 - 11*a^6*z^4 - 6*z^6 + z^6/a^2 + 19*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 19922] -> -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (10*z^2)/a^12 - (14*z^2)/a^10 + z^2/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - (11*z^4)/a^10 - (8*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (11*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19923] -> 12 + 3/a^4 - 10/a^2 - 4*a^2 + 27*z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (20*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - (12*z^4)/a^2 - 8*a^2*z^4 + 14*z^6 + z^6/a^6 - (7*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19924] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - z^2 - z^2/a^4 + 
   (5*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   20*a^2*z^4 + 8*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 14*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 19925] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - 
   6*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 
   3*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 19926] -> 3 - a^(-8) + 2/a^6 + 3/a^4 - 7/a^2 + a^2 + 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (16*z^2)/a^2 + 3*a^2*z^2 - 
   z^4 - z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 19927] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - (5*z^2)/a^12 + (17*z^2)/a^10 - 
   (21*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + (9*z^4)/a^10 - (18*z^4)/a^8 + 
   (11*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (7*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19928] -> 
  -2/a^18 + 11/a^16 - 20/a^14 + 10/a^12 + 2/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (50*z^2)/a^14 + (33*z^2)/a^12 + (15*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (39*z^4)/a^14 + (43*z^4)/a^12 + (28*z^4)/a^10 + (4*z^4)/a^8 - 
   (9*z^6)/a^14 + (25*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19929] -> 
  -a^(-18) + 5/a^16 - 7/a^14 - 2/a^12 + 6/a^10 + (5*z^2)/a^16 - 
   (16*z^2)/a^14 - z^2/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 - (9*z^4)/a^14 + 
   (6*z^4)/a^12 + (23*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^12 + 
   (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 19930] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 25*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19931] -> a^(-10) - 6/a^8 + 12/a^6 - 11/a^4 + 
   5/a^2 - z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (31*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (29*z^4)/a^6 - 
   (36*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - 
   (20*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 19932] -> -2/a^14 + 10/a^12 - 17/a^10 + 
   9/a^8 + a^(-6) - (5*z^2)/a^14 + (26*z^2)/a^12 - (44*z^2)/a^10 + 
   (23*z^2)/a^8 + (5*z^2)/a^6 - (4*z^4)/a^14 + (30*z^4)/a^12 - 
   (50*z^4)/a^10 + (17*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (34*z^6)/a^10 + (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 19933] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (8*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (8*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19934] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 2*z^2 - z^2/a^2 + 18*a^2*z^2 - 
   24*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 12*a^2*z^4 - 
   22*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 11*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 19935] -> 
  17 + 4/a^4 - 14/a^2 - 6*a^2 + 39*z^2 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (32*z^2)/a^2 - 12*a^2*z^2 + 36*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (24*z^4)/a^2 - 10*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 - (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 19936] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 19937] -> -a^(-12) + 4/a^10 - 9/a^8 + 10/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + (5*z^2)/a^10 - (16*z^2)/a^8 + (24*z^2)/a^6 - 
   (12*z^2)/a^4 + z^2/a^2 + 2*z^4 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (7*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 19938] -> 
  2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 + z^2/a^14 - (12*z^2)/a^12 + 
   (23*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 - (4*z^4)/a^12 + 
   (23*z^4)/a^10 - (29*z^4)/a^8 + (24*z^4)/a^6 - (4*z^4)/a^4 + (6*z^6)/a^10 - 
   (19*z^6)/a^8 + (16*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 19939] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - (4*z^2)/a^12 + (7*z^2)/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^8 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 19940] -> 
  -2/a^4 + 5/a^2 - 4*a^2 + a^4 + a^6 - 5*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 - 
   13*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 9*z^4 - z^4/a^4 + (11*z^4)/a^2 - 
   18*a^2*z^4 + 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 19941] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (21*z^4)/a^4 + (26*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19942] -> 
  4 - 4/a^6 + 13/a^4 - 13/a^2 + a^2 + 7*z^2 - (8*z^2)/a^6 + (40*z^2)/a^4 - 
   (47*z^2)/a^2 + 6*a^2*z^2 - z^4 - (5*z^4)/a^6 + (41*z^4)/a^4 - 
   (62*z^4)/a^2 + 9*a^2*z^4 - 8*z^6 - z^6/a^6 + (18*z^6)/a^4 - (41*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (14*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 19943] -> 
  2 - 2/a^8 + 5/a^6 - a^(-4) - 4/a^2 + a^2 + 4*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (7*z^2)/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 + z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (12*z^4)/a^4 - (21*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 19944] -> 
  -3 + 8*a^2 - 4*a^4 - 7*z^2 + 20*a^2*z^2 - 6*a^4*z^2 - 8*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 7*a^4*z^4 - 17*a^6*z^4 + 8*a^8*z^4 - 
   z^6 + 11*a^2*z^6 - 8*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 19945] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19946] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (4*z^4)/a^6 + (14*z^4)/a^4 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (7*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 19947] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 19948] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (20*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 19949] -> 
  -2/a^18 + 11/a^16 - 20/a^14 + 10/a^12 + 2/a^10 - z^2/a^18 + (15*z^2)/a^16 - 
   (46*z^2)/a^14 + (29*z^2)/a^12 + (15*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (36*z^4)/a^14 + (38*z^4)/a^12 + (27*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (23*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 19950] -> 
  -a^(-18) + 5/a^16 - 7/a^14 - 2/a^12 + 6/a^10 + (5*z^2)/a^16 - 
   (17*z^2)/a^14 + (3*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (9*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 19951] -> -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - 
   z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 - (19*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 19952] -> 3 - 12*a^2 + 18*a^4 - 8*a^6 + z^2 + 
   (2*z^2)/a^2 - 24*a^2*z^2 + 41*a^4*z^2 - 14*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   17*a^2*z^4 + 38*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   19*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 19953] -> 
  -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 4*z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 
   12*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 19954] -> 
  -2 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (23*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19955] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 - 5*z^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (30*z^2)/a^6 - (29*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + 
   (23*z^4)/a^6 - (36*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19956] -> -a^(-16) + 6/a^14 - 12/a^12 + 8/a^10 - 
   2/a^8 + 2/a^6 + (5*z^2)/a^14 - (21*z^2)/a^12 + (22*z^2)/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (9*z^4)/a^12 + (21*z^4)/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + (7*z^6)/a^10 - (5*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 19957] -> 
  -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 13*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (19*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (21*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19958] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 11/a^6 - 3/a^4 + a^(-2) - (2*z^2)/a^12 + 
   (13*z^2)/a^10 - (30*z^2)/a^8 + (30*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^12 + (11*z^4)/a^10 - (30*z^4)/a^8 + (32*z^4)/a^6 - (15*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + (18*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 19959] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 18*z^2 + 
   z^2/a^4 + z^2/a^2 + 30*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   13*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19960] -> a^(-14) - 5/a^12 + 9/a^10 - 10/a^8 + 6/a^6 - 
   (5*z^2)/a^12 + (18*z^2)/a^10 - (23*z^2)/a^8 + (14*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + (9*z^4)/a^10 - (20*z^4)/a^8 + (12*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (7*z^6)/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 19961] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 2/a^2 - z^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (9*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - z^6 - (4*z^6)/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 19962] -> 
  2 - a^(-6) + 2/a^4 - 4*a^2 + a^4 + a^6 - z^2/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 19963] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 
   z^2 + z^2/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - (23*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (23*z^4)/a^6 - 
   (26*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 19964] -> 2 - a^(-10) + 2/a^8 + a^(-4) - 
   4/a^2 + a^2 + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - 
   (9*z^2)/a^2 + 2*a^2*z^2 - z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (9*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 19965] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 19966] -> 
  3 - 2/a^4 + 3/a^2 - 5*a^2 + 2*a^4 - 5*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19967] -> -8 - 2/a^4 + 7/a^2 + 6*a^2 - 3*a^4 + a^6 - 
   23*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 
   26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19968] -> 
  -2 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (23*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19969] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   17*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 19970] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 - 
   5*z^2 + z^2/a^10 - (12*z^2)/a^8 + (30*z^2)/a^6 - (29*z^2)/a^4 + 
   (19*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (36*z^4)/a^4 + 
   (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (19*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19971] -> 
  5 - 2/a^2 - 2*a^2 + 9*z^2 - (3*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   a^8*z^2 + 7*z^4 - z^4/a^2 - a^2*z^4 - 10*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 19972] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 
   21*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 - 
   (4*z^4)/a^6 + (17*z^4)/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 19973] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - z^4/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 19974] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19975] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) - z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (17*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 19976] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   4/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 19977] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 19978] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 
   2*z^2 - z^2/a^2 + 16*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 19*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 19979] -> 2/a^10 - 7/a^8 + 6/a^6 - 2*z^2 + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (21*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - (13*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 19980] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19981] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 19982] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19983] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 20*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 19984] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   11*z^2 - z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19985] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 17*z^2 + (4*z^2)/a^6 - (18*z^2)/a^4 + 
   (29*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + 
   (34*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19986] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 + 
   z^2/a^4 - z^2/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 23*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   12*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 19987] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - 
   z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (23*z^2)/a^6 - (20*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (23*z^4)/a^6 - 
   (25*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 19988] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   5*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 19989] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (13*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 19990] -> 4 - a^(-4) - 2*a^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 13*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19991] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^6 + (6*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 + 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 19992] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19993] -> -4 - 2/a^4 + 6/a^2 + a^2 - a^4 + a^6 - 
   17*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 19994] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19995] -> -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 
   5*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (12*z^4)/a^6 - (25*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 19996] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 17*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 19997] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19998] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 19999] -> 
  -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 20000] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20001] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + (4*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20002] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^2 - a^4 + 
   a^6 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 20003] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20004] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + a^(-2) + a^2 - 3*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - 
   (3*z^6)/a^6 + z^6/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 20005] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20006] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 20007] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20008] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 20009] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - a^2 - a^4 + 
   a^6 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 20010] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) + 
   a^2 - 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (2*z^4)/a^4 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 20011] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20012] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 20013] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^8*z^2 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 20014] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 20015] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   18*a^4*z^2 + 7*a^6*z^2 + 9*z^4 - (7*z^4)/a^2 + 14*a^2*z^4 - 24*a^4*z^4 + 
   5*a^6*z^4 + 12*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 20016] -> 3 + a^(-4) - 2/a^2 - 3*a^4 + 2*a^6 + 6*z^2 - 
   (4*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (2*z^4)/a^4 - 
   z^4/a^2 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 20017] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 6*z^2 + 
   12*a^2*z^2 - 9*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - z^4 - (3*z^4)/a^2 + 
   13*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 
   9*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 20018] -> a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 + 
   z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 20019] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 20020] -> 
  2*a^6 - a^10 + a^12 - a^14 + a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 + 
   2*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 4*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 20021] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 20022] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + 
   z^2 + (5*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (7*z^4)/a^8 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20023] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20024] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 20025] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 20026] -> 
  a^2 - 2*a^4 + 4*a^6 - 2*a^8 + a^10 - a^12 + z^2 + a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 20027] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   14*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20028] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 20029] -> 
  2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 2*a^10 - a^12 + 5*a^2*z^2 - 8*a^4*z^2 + 
   9*a^6*z^2 - 11*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   13*a^4*z^4 + 13*a^6*z^4 - 20*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   9*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 20030] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 14*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 12*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 20031] -> 
  -2 + 2/a^2 + a^2 - 2*a^4 + 3*a^6 - a^8 - 10*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   13*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 
   21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20032] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20033] -> 
  -2/a^14 + 4/a^12 - 3/a^10 + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (15*z^2)/a^12 - (11*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (15*z^4)/a^12 - (18*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20034] -> -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 + z^2/a^10 - (8*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (12*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 20035] -> 
  a^6 + a^8 - 2*a^10 + 4*a^12 - 3*a^14 + 5*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 
   13*a^12*z^2 - 7*a^14*z^2 + 8*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + 
   19*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 6*a^8*z^6 - 7*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 20036] -> 
  2*a^6 - 2*a^8 + 2*a^10 + a^12 - 2*a^14 + a^4*z^2 + 6*a^6*z^2 + 4*a^10*z^2 + 
   5*a^12*z^2 - 3*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 20037] -> -1 + a^(-4) + a^4 + z^2/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20038] -> 
  2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 2*a^10 - a^12 + z^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 20039] -> -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 - 8*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 
   5*a^8*z^2 - 9*z^4 + z^4/a^2 + 21*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20040] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 12*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 20041] -> -7 + a^(-6) - 2/a^4 + 4/a^2 + 7*a^2 - 
   2*a^4 - 22*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 25*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 20042] -> 
  2*a^6 - 2*a^8 + 2*a^10 + a^12 - 2*a^14 + 7*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 + 
   11*a^12*z^2 - 7*a^14*z^2 + 9*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + 
   19*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 7*a^8*z^6 - 7*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 20043] -> 
  a^4 - a^6 + 2*a^8 - a^10 + 2*a^12 - 2*a^14 + 3*a^4*z^2 + 5*a^8*z^2 + 
   2*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 3*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 20044] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20045] -> 1 - a^2 + 2*a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 + 2*z^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 20046] -> -3 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + a^4 - 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 20047] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 - a^4 + 3*a^6 - a^8 + 2*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 20048] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (11*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (10*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20049] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (7*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - z^4/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20050] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + z^4/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 20051] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 14*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 20052] -> 3*a^6 - 5*a^8 + 6*a^10 - 2*a^12 - a^14 + 
   10*a^6*z^2 - 10*a^8*z^2 + 12*a^10*z^2 + 6*a^12*z^2 - 6*a^14*z^2 + 
   12*a^6*z^4 - 12*a^8*z^4 + 6*a^10*z^4 + 17*a^12*z^4 - 5*a^14*z^4 + 
   6*a^6*z^6 - 12*a^8*z^6 - 5*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 20053] -> a^4 - a^8 + 3*a^10 - a^12 - a^14 + 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 7*a^10*z^2 + 3*a^12*z^2 - 3*a^14*z^2 + 
   3*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 5*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 20054] -> 
  4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + 3*a^2*z^2 - 6*a^4*z^2 + 19*a^6*z^2 - 
   20*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 
   24*a^6*z^4 - 27*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 
   15*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 20055] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 
   2*a^12 + z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   z^4 - 3*a^2*z^4 + a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 20056] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20057] -> 
  a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 - 4*z^2 - z^2/a^4 + 6*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 20058] -> 
  2 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 5/a^4 + 2*z^2 + (5*z^2)/a^10 - 
   (13*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (9*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20059] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (20*z^2)/a^6 - (21*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20060] -> -2 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 - a^2 + 
   a^4 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20061] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 5*a^8 + 2*a^10 - a^12 + z^2 + 3*a^2*z^2 - 
   9*a^4*z^2 + 13*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 20062] -> 
  1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 7*z^2 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 10*z^4 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[15, Alternating, 20063] -> 
  -6 - a^(-8) + 4/a^6 - 7/a^4 + 9/a^2 + a^2 + a^4 - 13*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 20064] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 
   6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (20*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (20*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20065] -> a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 4*a^10 - 
   2*a^12 + z^2 + 3*a^2*z^2 - 7*a^4*z^2 + 14*a^6*z^2 - 12*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 
   13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 20066] -> 
  a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 20067] -> -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   25*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 - 28*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 28*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20068] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   2*z^4 - z^4/a^4 + (5*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 20069] -> 2*a^2 - 5*a^4 + 9*a^6 - 8*a^8 + 5*a^10 - 
   2*a^12 + 2*z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 19*a^6*z^2 - 16*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 20070] -> 
  2*a^4 - 3*a^6 + 3*a^8 - a^14 + 5*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 
   7*a^10*z^2 + a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 3*a^6*z^4 - 4*a^8*z^4 + 
   7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 20071] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 2*z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - 5*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 20072] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   13*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20073] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^6 + a^8 + z^2 - z^2/a^4 - z^2/a^2 - 
   4*a^6*z^2 + a^8*z^2 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 20074] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 20075] -> 
  -6 + 2/a^6 - 4/a^4 + 5/a^2 + 5*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (17*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 20076] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - 
   (6*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20077] -> 2*a^2 - 4*a^4 + 6*a^6 - 4*a^8 + 2*a^10 - 
   a^12 + 2*z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 20078] -> 
  a^4 - a^8 + 3*a^10 - a^12 - a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 
   13*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 11*a^8*z^4 + 
   13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 20079] -> a^(-8) - a^(-6) + a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   6*z^4 + (6*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[15, Alternating, 20080] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 
   6*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 20081] -> 
  -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 14*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 21*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20082] -> -4 - 2/a^8 + 5/a^6 - 5/a^4 + 
   5/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (22*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20083] -> 
  -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 18*z^2 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20084] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^6 + a^8 + 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 20085] -> 1 - a^2 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   z^2 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 
   2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6, Knot[15, Alternating, 20086] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20087] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - z^4/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 20088] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (16*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20089] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 3*z^2 - z^2/a^6 + z^2/a^4 + 
   3*a^2*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 20090] -> 
  1 - 2*a^2 + 3*a^4 - a^6 + a^10 - a^12 + z^2 + z^2/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 4*a^2*z^4 + 
   a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 20091] -> a^2 - a^4 + a^6 + a^10 - a^14 + 2*a^2*z^2 + 
   a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 20092] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 - z^2 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 3*a^4*z^4 - 
   a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 20093] -> 3*a^6 - a^8 - a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 
   7*a^6*z^2 + 7*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 20094] -> -a^2 + 4*a^4 - 2*a^6 + a^8 - 
   a^10 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 20095] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20096] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20097] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 
   12*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20098] -> 
  -2 + a^(-2) + 2*a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 8*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20099] -> -2 + a^(-2) + a^2 + 2*a^4 - 
   a^8 + z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20100] -> 
  -4 - a^(-8) + 2/a^6 - 2/a^4 + 4/a^2 + 2*a^2 - 13*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20101] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 20102] -> 
  2 + a^(-4) - 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 - z^2/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20103] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 - 
   3*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20104] -> 
  -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 4*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4/a^4 + z^4/a^2 + 5*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 20105] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20106] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20107] -> a^2 - a^4 + a^6 + 2*a^8 - 
   2*a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 20108] -> -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 8*z^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 20109] -> 
  2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 5*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 + 
   6*a^8*z^2 - 4*a^10*z^2 + 6*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 13*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 20110] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   2*a^2*z^2 - 3*a^4*z^2 + 15*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 23*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 20111] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - 5*a^2*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20112] -> 
  1 - a^2 + 2*a^6 - a^10 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20113] -> 
  2*a^4 - a^6 + a^10 - a^12 + z^2 - a^2*z^2 + 5*a^4*z^2 - 3*a^8*z^2 + 
   4*a^10*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20114] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 
   3*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 
   11*a^4*z^4 + 2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 20115] -> 1 - 2*a^2 + 2*a^4 + a^6 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   5*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 20116] -> a^2 - a^4 + 5*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 - 5*a^4*z^2 + 18*a^6*z^2 - 16*a^8*z^2 + 5*a^10*z^2 + z^4 + 
   a^2*z^4 - 11*a^4*z^4 + 21*a^6*z^4 - 10*a^8*z^4 + z^6 - 8*a^4*z^6 + 
   9*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 20117] -> 
  1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 3*z^2 + z^2/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20118] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 
   2*a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 20119] -> 
  a^4 + 3*a^6 - 6*a^8 + 6*a^10 - 4*a^12 + a^14 + 2*a^4*z^2 + 10*a^6*z^2 - 
   17*a^8*z^2 + 15*a^10*z^2 - 5*a^12*z^2 - a^4*z^4 + 12*a^6*z^4 - 
   19*a^8*z^4 + 10*a^10*z^4 - a^2*z^6 - a^4*z^6 + 7*a^6*z^6 - 9*a^8*z^6 + 
   a^4*z^8 + 3*a^6*z^8, Knot[15, Alternating, 20120] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20121] -> 2 - a^(-2) + 3*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 
   2*z^2 - z^2/a^2 + 17*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20122] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - 2*z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   4*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 20123] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 - z^2/a^4 + z^2/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - z^4/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20124] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20125] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 20126] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 18*a^2*z^2 - 21*a^4*z^2 + 
   8*a^6*z^2 + a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 17*a^4*z^4 - 4*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20127] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - z^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 8*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 20128] -> -3 + a^(-2) + 4*a^2 - a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 20129] -> -2 + a^(-2) + 2*a^2 + a^4 - 
   a^6 - 5*z^2 + (2*z^2)/a^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20130] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 - 
   a^4*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 21*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 20131] -> a^2 + a^4 - a^6 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20132] -> 
  3 - a^(-2) - a^2 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 20133] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20134] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20135] -> a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 + z^4 - 3*a^2*z^4 + 
   5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20136] -> 1 - a^(-2) + 2*a^2 - a^6 - 3*z^2 + 
   6*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 + 
   12*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20137] -> -1 + 3*a^2 - a^6 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20138] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20139] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + z^4/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20140] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 20141] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 9*z^2 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (21*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20142] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 20143] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 11*a^10*z^2 + 6*a^12*z^2 - 6*a^4*z^4 + 
   17*a^6*z^4 - 18*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 
   6*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 20144] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + 3*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 - 
   4*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 - 
   6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20145] -> 2*a^4 - 2*a^10 + a^12 + 4*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - 4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20146] -> 2*a^4 - 2*a^10 + a^12 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - a^8*z^2 - a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 20147] -> 2 - a^(-2) + a^2 - 2*a^4 + 
   2*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 20148] -> a^2 + a^6 - 2*a^10 + a^12 + 2*a^2*z^2 + 
   a^6*z^2 - 2*a^10*z^2 + a^12*z^2 - z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 20149] -> 
  1 - 3/a^8 + 8/a^6 - 7/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (13*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20150] -> -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (10*z^2)/a^12 - (6*z^2)/a^10 - (15*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - 
   (21*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20151] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - 
   z^2/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (12*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 20152] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^6 + (7*z^2)/a^4 - (11*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (12*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20153] -> 1 + a^(-10) - 3/a^8 + 6/a^6 - 7/a^4 + 
   3/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (16*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20154] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20155] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 8*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   12*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20156] -> a^(-12) - 3/a^10 - a^(-8) + 
   5/a^6 - a^(-4) + (2*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^8 + (18*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + (7*z^4)/a^8 + 
   (22*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20157] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20158] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - 
   (9*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - 
   (3*z^4)/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 20159] -> 1 + 2/a^8 - 3/a^6 + a^(-2) + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + z^4 - z^4/a^10 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 20160] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 
   2*a^6 - 20*z^2 - z^2/a^4 + (7*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 25*z^4 - z^4/a^4 + (10*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20161] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 + (8*z^2)/a^16 - 
   (28*z^2)/a^14 + (8*z^2)/a^12 + (23*z^2)/a^10 + z^2/a^8 + z^4/a^16 - 
   (25*z^4)/a^14 + (25*z^4)/a^12 + (33*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - 
   (5*z^6)/a^14 + (22*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 20162] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (5*z^4)/a^8 + 
   (14*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20163] -> -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - 
   (2*z^2)/a^14 + (12*z^2)/a^12 - (15*z^2)/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - 
   (13*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20164] -> -a^(-10) + 7/a^8 - 11/a^6 + 4/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (16*z^2)/a^8 - (25*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (15*z^4)/a^8 - (21*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20165] -> 1 + a^(-8) + a^(-6) - 5/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20166] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20167] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   z^6/a^4 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 20168] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^10 + 
   (6*z^4)/a^8 - (20*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - 
   (4*z^6)/a^6 - (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20169] -> -6 - a^(-4) + 5/a^2 + 5*a^2 - 4*a^4 + 
   2*a^6 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - z^4/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 17*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20170] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 5*z^2 - z^2/a^6 + (10*z^2)/a^4 - 
   (13*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (10*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20171] -> -2 - a^(-6) + 4/a^4 - 2/a^2 + a^2 + a^4 - 
   6*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 5*z^4 - 
   z^4/a^6 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 20172] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20173] -> 
  14 + 2/a^4 - 10/a^2 - 4*a^2 - a^4 + 30*z^2 + (3*z^2)/a^4 - (20*z^2)/a^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 24*z^4 + (3*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20174] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 
   10*z^2 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   9*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20175] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (11*z^2)/a^10 - (21*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 + (3*z^4)/a^10 - (19*z^4)/a^8 + (16*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20176] -> -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 
   14*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   10*z^4 - (10*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 - z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 20177] -> 
  1 + 2/a^10 - 6/a^8 + 7/a^6 - 4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (16*z^2)/a^6 - (11*z^2)/a^4 + z^4 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20178] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   17*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20179] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 19*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20180] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 
   2*a^4 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 - z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 20181] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20182] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   25*z^2 - z^2/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + (24*z^2)/a^2 + 7*a^2*z^2 - 
   29*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (30*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 20183] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20184] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 
   z^2/a^8 - (8*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (13*z^4)/a^4 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (2*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 20185] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 + z^2/a^10 - (9*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (18*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 - (2*z^6)/a^8 + 
   (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 20186] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20187] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 3*z^2 + (3*z^2)/a^8 - (19*z^2)/a^6 + 
   (28*z^2)/a^4 - (5*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (25*z^4)/a^6 + 
   (41*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - (14*z^6)/a^6 + (31*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 20188] -> 
  -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^4 - (2*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + (13*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 20189] -> 
  5*a^4 - 6*a^6 + 2*a^8 - z^2 + 2*a^2*z^2 + 11*a^4*z^2 - 19*a^6*z^2 + 
   8*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 5*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 20190] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - z^2 + 5*a^2*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 
   z^4 - z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 20191] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 - 3*z^4 + (5*z^4)/a^8 - 
   (14*z^4)/a^6 + (11*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20192] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - z^2 + z^2/a^2 - 
   9*a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   25*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 3*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20193] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 4*z^2 + 
   z^2/a^2 + a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 
   6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 20194] -> 9 - 3/a^2 - 7*a^2 + 2*a^4 + 27*z^2 - 
   (5*z^2)/a^2 - 35*a^2*z^2 + 14*a^4*z^2 + 40*z^4 - (5*z^4)/a^2 - 
   69*a^2*z^4 + 25*a^4*z^4 + 32*z^6 - (4*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 20195] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   16*a^2*z^2 + 8*a^4*z^2 - 3*z^4 - z^4/a^4 + (8*z^4)/a^2 - 23*a^2*z^4 + 
   10*a^4*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20196] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 + z^2 + (5*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20197] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (7*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 20198] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 
   18*z^2 - (5*z^2)/a^6 + (30*z^2)/a^4 - (44*z^2)/a^2 + 28*z^4 - 
   (6*z^4)/a^6 + (45*z^4)/a^4 - (80*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + 
   (34*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 20199] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 
   11*z^2 - (2*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 20*z^4 - 
   (2*z^4)/a^6 + (14*z^4)/a^4 - (15*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 20200] -> 
  -2/a^10 + 8/a^8 - 11/a^6 + 5/a^4 + a^(-2) - (5*z^2)/a^10 + (27*z^2)/a^8 - 
   (36*z^2)/a^6 + (10*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (32*z^4)/a^8 - 
   (51*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (36*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20201] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (4*z^2)/a^16 - (21*z^2)/a^14 + (9*z^2)/a^12 + (20*z^2)/a^10 + 
   (2*z^2)/a^8 - (19*z^4)/a^14 + (25*z^4)/a^12 + (29*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (20*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 20202] -> -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - 
   (6*z^2)/a^10 + (29*z^2)/a^8 - (42*z^2)/a^6 + (20*z^2)/a^4 - (8*z^4)/a^10 + 
   (48*z^4)/a^8 - (76*z^4)/a^6 + (27*z^4)/a^4 - (5*z^6)/a^10 + (37*z^6)/a^8 - 
   (69*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + 
   (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 20203] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (14*z^2)/a^8 - (14*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (19*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (13*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20204] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (17*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (3*z^4)/a^6 - (25*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (6*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20205] -> -6*a^2 + 15*a^4 - 8*a^6 + 3*z^2 - 
   34*a^2*z^2 + 69*a^4*z^2 - 29*a^6*z^2 + 7*z^4 - 56*a^2*z^4 + 114*a^4*z^4 - 
   39*a^6*z^4 + 5*z^6 - 42*a^2*z^6 + 94*a^4*z^6 - 25*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 20206] -> 
  -1 - 2*a^2 + 10*a^4 - 6*a^6 - 8*z^2 + z^2/a^2 + 30*a^4*z^2 - 15*a^6*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 36*a^4*z^4 - 14*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 10*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20207] -> 
  14 + a^(-4) - 8/a^2 - 6*a^2 + 53*z^2 + (5*z^2)/a^4 - (32*z^2)/a^2 - 
   21*a^2*z^2 + 85*z^4 + (6*z^4)/a^4 - (46*z^4)/a^2 - 29*a^2*z^4 + 73*z^6 + 
   (4*z^6)/a^4 - (34*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 20208] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + 
   (4*z^2)/a^8 - (30*z^2)/a^6 + (50*z^2)/a^4 - (19*z^2)/a^2 + (5*z^4)/a^8 - 
   (43*z^4)/a^6 + (83*z^4)/a^4 - (29*z^4)/a^2 + (4*z^6)/a^8 - (33*z^6)/a^6 + 
   (73*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 20209] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (15*z^2)/a^6 + (22*z^2)/a^4 - z^2/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (16*z^4)/a^6 + (25*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (15*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20210] -> 9 - 4/a^2 - 4*a^2 + 23*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 - (3*z^2)/a^2 - 11*a^2*z^2 + 28*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 20211] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 2*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (22*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (16*z^4)/a^6 + 
   (16*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 20212] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (11*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20213] -> 3/a^12 - 12/a^10 + 12/a^8 - 2/a^6 + 
   (4*z^2)/a^12 - (28*z^2)/a^10 + (38*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (27*z^4)/a^10 + (48*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (32*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 20214] -> a^(-12) - 3/a^10 - 2/a^8 + 
   7/a^6 - 2/a^4 + z^2/a^12 - (7*z^2)/a^10 + (19*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (5*z^4)/a^8 + (20*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20215] -> 2 - 7*a^2 + 11*a^4 - 5*a^6 + 2*z^2 + 
   z^2/a^2 - 18*a^2*z^2 + 29*a^4*z^2 - 10*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   14*a^2*z^4 + 31*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + z^6/a^2 - a^2*z^6 + 
   18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20216] -> 
  2*a^2 - a^4 - z^2 + 8*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - z^4/a^2 + 
   9*a^2*z^4 - 15*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 20217] -> -a^(-12) + 2/a^10 + 3/a^8 - 9/a^6 + 5/a^4 + 
   a^(-2) - (2*z^2)/a^12 + (9*z^2)/a^10 + (2*z^2)/a^8 - (22*z^2)/a^6 + 
   (9*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (6*z^4)/a^8 - 
   (25*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (14*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 20218] -> a^(-12) - 3/a^10 + 3/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20219] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + z^2/a^16 - (11*z^2)/a^14 + 
   (7*z^2)/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (10*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 20220] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - 
   a^(-2) + 4*z^2 - z^2/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 20221] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 12*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 + 
   18*a^4*z^2 - 11*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 + 25*a^4*z^4 - 
   11*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20222] -> 2 - a^(-2) - 3*a^2 + 7*a^4 - 4*a^6 + 5*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 + 6*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 20223] -> -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 3*z^4 + 7*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 20224] -> 3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 20225] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20226] -> -2*a^2 + 8*a^4 - 6*a^6 + a^8 - 3*z^2 + 
   2*a^2*z^2 + 17*a^4*z^2 - 18*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 
   11*a^4*z^4 - 23*a^6*z^4 + 8*a^8*z^4 - z^6 + 9*a^2*z^6 - a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 20227] -> 
  -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - z^2 - z^2/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 4*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20228] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (19*z^2)/a^10 + (9*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (17*z^4)/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (6*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20229] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20230] -> 
  2 - a^(-2) + a^2 - 2*a^6 + a^8 + 3*z^2 - z^2/a^4 + a^2*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 20231] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - 
   5*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + (17*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (19*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20232] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (18*z^2)/a^8 - (21*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (23*z^4)/a^8 - (32*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (26*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 20233] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 
   43*z^2 + (7*z^2)/a^4 - (31*z^2)/a^2 - 16*a^2*z^2 + 75*z^4 + (9*z^4)/a^4 - 
   (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 20234] -> 
  5 - 2/a^2 - 2*a^2 + 17*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 
   8*a^2*z^2 + 24*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 
   17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 20235] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 
   10*z^2 - z^2/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 + 
   2*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (22*z^4)/a^4 + (26*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20236] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20237] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (7*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (15*z^4)/a^8 - 
   (18*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (20*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20238] -> 3 - 4/a^6 + 12/a^4 - 11/a^2 + a^2 + 4*z^2 - 
   (6*z^2)/a^6 + (31*z^2)/a^4 - (35*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - 
   (4*z^4)/a^6 + (32*z^4)/a^4 - (47*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 20239] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 54*z^2 + 
   (8*z^2)/a^4 - (38*z^2)/a^2 - 20*a^2*z^2 + 86*z^4 + (10*z^4)/a^4 - 
   (56*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 20240] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 62*z^2 + (10*z^2)/a^4 - (45*z^2)/a^2 - 
   22*a^2*z^2 + 88*z^4 + (12*z^4)/a^4 - (61*z^4)/a^2 - 27*a^2*z^4 + 71*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 20241] -> 8 + a^(-6) - 3/a^4 - a^(-2) - 4*a^2 + 
   22*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 20242] -> 
  8 - a^(-4) - a^(-2) - 7*a^2 + 2*a^4 + 19*z^2 - (2*z^2)/a^4 - z^2/a^2 - 
   20*a^2*z^2 + 6*a^4*z^2 + 17*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 23*a^2*z^4 + 
   7*a^4*z^4 + 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 
   2*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20243] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^12 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (3*z^4)/a^12 + (6*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - z^6/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20244] -> 
  -2/a^14 + 9/a^12 - 15/a^10 + 8/a^8 + a^(-6) - (4*z^2)/a^14 + 
   (22*z^2)/a^12 - (38*z^2)/a^10 + (21*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^14 + (28*z^4)/a^12 - (46*z^4)/a^10 + (16*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (33*z^6)/a^10 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 20245] -> -a^(-14) + 4/a^12 - 5/a^10 - 
   a^(-8) + 4/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - (12*z^2)/a^10 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (10*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 20246] -> 3 - 11*a^2 + 16*a^4 - 7*a^6 + 
   6*z^2 + z^2/a^2 - 29*a^2*z^2 + 39*a^4*z^2 - 12*a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 23*a^2*z^4 + 36*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20247] -> 
  -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 9*z^2 + (4*z^2)/a^2 + 14*a^4*z^2 - 
   5*a^6*z^2 - 9*z^4 + z^4/a^4 + 3*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 20248] -> -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 - 12*a^2*z^4 + 7*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 20249] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + z^2/a^2 + 3*a^2*z^2 + 21*a^4*z^2 - 
   11*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 28*a^4*z^4 - 11*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20250] -> 
  1 - 3/a^6 + 8/a^4 - 6/a^2 + a^2 - z^2 - (6*z^2)/a^6 + (27*z^2)/a^4 - 
   (26*z^2)/a^2 + 6*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (32*z^4)/a^4 - 
   (43*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 20251] -> 
  1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - z^4/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 - (19*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 20252] -> 
  2/a^10 - 9/a^8 + 11/a^6 - 4/a^4 + a^(-2) - z^2 + z^2/a^10 - (12*z^2)/a^8 + 
   (27*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (25*z^4)/a^6 - (24*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 20253] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 + z^4/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 20254] -> 1 - 2/a^8 + 5/a^6 - 2/a^4 - 2/a^2 + a^2 + 
   z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   z^4 - z^4/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 20255] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (9*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 20256] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 
   2*a^2 + 13*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 
   21*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 20257] -> 
  2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + z^2 - z^2/a^10 - (7*z^2)/a^8 + 
   (25*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (16*z^4)/a^6 - (22*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + (2*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20258] -> 
  -10 - 5/a^4 + 13/a^2 + 3*a^2 - 26*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (22*z^2)/a^2 + 9*a^2*z^2 - 28*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20259] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20260] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 20261] -> 
  -4 + 10*a^2 - 5*a^4 - 13*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20262] -> 3 - 2/a^4 + 3/a^2 - 5*a^2 + 2*a^4 + 4*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 14*a^2*z^2 + 6*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 20263] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 20264] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 
   3/a^2 - 6*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + (11*z^2)/a^2 - 
   7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (8*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20265] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 6*z^2 + 
   (5*z^2)/a^6 - (22*z^2)/a^4 + (28*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (29*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (17*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 20266] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - z^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (20*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (22*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 20267] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 
   6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20268] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20269] -> -a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + 
   a^(-4) + a^(-2) - (2*z^2)/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - 
   (20*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 20270] -> 
  a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - (4*z^2)/a^12 + z^2/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - z^4/a^14 + z^4/a^12 + (5*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 + z^6/a^10 - 
   (3*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20271] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (19*z^4)/a^4 - (5*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (12*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 20272] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 20273] -> 
  -3 + 6*a^2 - 2*a^6 - 12*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 + 8*a^4*z^2 - 
   7*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 + 18*a^4*z^4 - 9*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20274] -> 2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 15*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 20275] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 16*z^2 - (2*z^2)/a^6 - z^2/a^4 + (17*z^2)/a^2 + 
   5*a^2*z^2 - 21*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 + (10*z^4)/a^2 + 
   8*a^2*z^4 - 15*z^6 - z^6/a^6 + (8*z^6)/a^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20276] -> -3 - a^(-6) + 4/a^2 + a^2 - 7*z^2 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20277] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20278] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 20279] -> -2 - a^(-4) + 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 
   12*z^2 - z^2/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20280] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20281] -> 4 - a^(-4) - 2*a^2 + 8*z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 
   13*a^2*z^4 + 6*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20282] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 - z^2/a^6 - 
   z^2/a^4 + (9*z^2)/a^2 + a^4*z^2 - 8*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20283] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 20284] -> -1 - 2/a^4 + 4/a^2 + 2*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 20285] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20286] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20287] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20288] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 17*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 
   16*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20289] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 - z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20290] -> a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) + 
   z^2/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^10 - (3*z^4)/a^8 + (21*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20291] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (25*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20292] -> 
  -1 - 2/a^8 + 6/a^6 - 6/a^4 + 3/a^2 + a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20293] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 13*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20294] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20295] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - z^2 + 
   (4*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (13*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 20296] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (22*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 + z^4/a^8 + (5*z^4)/a^6 - 
   (22*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (6*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 20297] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + (4*z^2)/a^10 - (14*z^2)/a^8 + 
   (17*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 + 
   (19*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + (12*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 20298] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20299] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 + z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20300] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^4 + 2/a^2 + 
   z^2 - z^2/a^12 - (2*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + (2*z^4)/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - z^6/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 20301] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 20302] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 3/a^6 + a^(-4) + a^(-2) - z^2/a^12 - 
   (2*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   z^4/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 - (12*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + (2*z^6)/a^10 - z^6/a^8 - (8*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 20303] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20304] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20305] -> 
  5 - 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   7*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 20306] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 
   11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20307] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 12*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20308] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20309] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - (25*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 20310] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - z^4/a^10 - (7*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20311] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 20312] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   z^2/a^12 - (5*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + (5*z^4)/a^8 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 20313] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2 + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 - 2*z^4 + z^4/a^10 - (4*z^4)/a^8 + (8*z^4)/a^4 + z^4/a^2 - 
   z^6 - (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 20314] -> 
  a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 20315] -> 
  -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 13*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 - z^4/a^6 - (6*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (11*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 20316] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 20317] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 
   11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20318] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20319] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 + z^2 + 3*a^2*z^2 - 11*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 
   3*a^10*z^2 - z^4 + 5*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20320] -> -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 
   2/a^2 + z^2 + (5*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20321] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 5/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (8*z^2)/a^12 + z^2/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - (21*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20322] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20323] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20324] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20325] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + 
   a^6 - 19*z^2 - z^2/a^4 + (7*z^2)/a^2 + 25*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 23*z^4 - z^4/a^4 + (8*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20326] -> 
  a^6 + a^8 - a^14 + 7*a^6*z^2 - a^8*z^2 + 9*a^10*z^2 - a^12*z^2 - 
   2*a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 + 12*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 20327] -> 
  -2 + a^(-2) + 4*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + z^2/a^2 + 
   13*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   19*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20328] -> 2*a^6 - 2*a^8 + 4*a^10 - 
   3*a^12 + 9*a^6*z^2 - 7*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 - 2*a^14*z^2 + 
   a^4*z^4 + 9*a^6*z^4 - 10*a^8*z^4 + 13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 + a^6*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 20329] -> 
  -2/a^12 + 5/a^10 - 5/a^8 + 2/a^6 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20330] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + z^2 + (4*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20331] -> -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 
   8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20332] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 + (8*z^2)/a^6 - (19*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20333] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20334] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20335] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   4*z^2 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 20336] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 25*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 31*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20337] -> 2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + 
   2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 9*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 20338] -> a^2 - 2*a^4 + 7*a^6 - 8*a^8 + 4*a^10 - 
   a^12 + 3*a^2*z^2 - 7*a^4*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 7*a^4*z^4 + 13*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 20339] -> 5*a^6 - 8*a^8 + 7*a^10 - 3*a^12 + 
   2*a^2*z^2 - 5*a^4*z^2 + 21*a^6*z^2 - 24*a^8*z^2 + 18*a^10*z^2 - 
   4*a^12*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 26*a^6*z^4 - 29*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 16*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 20340] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 
   16*a^2*z^2 - 21*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20341] -> a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 
   5*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 16*a^6*z^2 - 16*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 12*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 20342] -> 
  a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + z^2 - a^2*z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 20343] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 15*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 20344] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 20345] -> 
  -1 + 4*a^2 - 5*a^4 + 6*a^6 - 3*a^8 - 3*z^2 + 12*a^2*z^2 - 16*a^4*z^2 + 
   19*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 21*a^4*z^4 + 
   22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20346] -> -3/a^14 + 7/a^12 - 6/a^10 + 3/a^6 - 
   (4*z^2)/a^14 + (21*z^2)/a^12 - (18*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (17*z^4)/a^12 - (23*z^4)/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (14*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20347] -> -2/a^14 + 4/a^12 - 2/a^10 - 3/a^8 + 4/a^6 - 
   z^2/a^14 + (9*z^2)/a^12 - (3*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (12*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 20348] -> -2/a^14 + 4/a^12 - 3/a^10 + 
   a^(-6) + a^(-4) - z^2/a^14 + (9*z^2)/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - 
   (12*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 20349] -> 
  -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) + z^2 + 
   (4*z^2)/a^12 + (2*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 20350] -> -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (13*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20351] -> 1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20352] -> -a^(-14) + a^(-12) + 2/a^10 - 6/a^8 + 
   5/a^6 - z^2/a^14 + (5*z^2)/a^12 + (4*z^2)/a^10 - (13*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - 
   (15*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 20353] -> 
  -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (5*z^2)/a^12 + (4*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (15*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 20354] -> -a^(-10) + 5/a^6 - 7/a^4 + 
   4/a^2 + z^2 - z^2/a^10 - z^2/a^8 + (15*z^2)/a^6 - (17*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20355] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 
   20*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20356] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   2*z^4 - z^4/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 20357] -> 2*a^2 - 4*a^4 + 6*a^6 - 4*a^8 + 2*a^10 - 
   a^12 + 5*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 12*a^8*z^2 + 11*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 20*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 20358] -> -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   10*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20359] -> 
  a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 2*a^2*z^2 - 2*a^4*z^2 + 
   12*a^6*z^2 - 15*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 
   9*a^4*z^4 + 16*a^6*z^4 - 22*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 20360] -> 
  1 - a^2 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   3*a^4*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 20361] -> 2*a^4 - a^6 + a^10 - a^12 + z^2 - 
   a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 20362] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 + z^2/a^6 - (4*z^2)/a^2 + 2*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 20363] -> -2/a^12 + 5/a^10 - 5/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 + (8*z^2)/a^10 - (12*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + z^4/a^10 - (14*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 20364] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20365] -> a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 4*a^10 - 
   2*a^12 + 3*a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 15*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 16*a^6*z^4 - 22*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 20366] -> -2 + 2/a^2 + 2*a^6 - a^8 - 7*z^2 + 
   (4*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20367] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20368] -> 
  2*a^6 - 2*a^8 + 3*a^10 - a^12 - a^14 + a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 
   6*a^10*z^2 + a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 5*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 20369] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20370] -> -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 
   13*z^2 + z^2/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - 11*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 20371] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 
   2*a^2 - 14*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (24*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20372] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 - z^2 + 
   8*a^2*z^2 - 17*a^4*z^2 + 22*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   10*a^2*z^4 - 23*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 20373] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20374] -> 
  a^4 - a^8 + 4*a^10 - 3*a^12 + 3*a^4*z^2 + a^6*z^2 + 9*a^10*z^2 - a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 - 2*a^8*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 20375] -> a^(-14) - 5/a^12 + 9/a^10 - 
   8/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 - (2*z^2)/a^12 + (15*z^2)/a^10 - 
   (17*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (6*z^4)/a^10 - (15*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 20376] -> a^(-14) - 5/a^12 + 10/a^10 - 11/a^8 + 
   5/a^6 + a^(-4) - z^2/a^14 - (3*z^2)/a^12 + (19*z^2)/a^10 - (26*z^2)/a^8 + 
   (12*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (10*z^4)/a^10 - 
   (27*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20377] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 
   2*a^2 - 15*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (21*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (24*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20378] -> -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 
   30*z^2 + z^2/a^6 - (6*z^2)/a^4 + (19*z^2)/a^2 + 26*a^2*z^2 - 7*a^4*z^2 - 
   34*z^4 + z^4/a^6 - (7*z^4)/a^4 + (22*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 
   20*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 20379] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20380] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 10*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 20381] -> 
  -4 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + a^4 - 4*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20382] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 18*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20383] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 + 2*a^2*z^4 - z^6 - (4*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 20384] -> -3 + a^(-8) - a^(-6) + 2/a^2 + a^2 + a^4 - 
   5*z^2 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - a^6*z^2 - z^4 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 20385] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + 
   a^4 - 8*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 20386] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (22*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 20387] -> -8 + 4/a^2 + 9*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   18*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 25*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 
   13*z^4 + z^4/a^2 + 27*a^2*z^4 - 29*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 15*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 20388] -> 
  3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20389] -> 
  2*a^4 - 3*a^6 + 3*a^8 + a^10 - 2*a^12 + 5*a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 + 
   5*a^10*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + 6*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 20390] -> 
  -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 8*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 
   20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20391] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 6*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20392] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) + 
   a^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[15, Alternating, 20393] -> 
  -8 - 2/a^4 + 7/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 20*z^2 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20394] -> 
  3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^4 - 6*a^2*z^2 + 5*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 20395] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20396] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20397] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20398] -> 
  a^4 - a^8 + 5*a^10 - 5*a^12 + a^14 + 4*a^4*z^2 - 2*a^8*z^2 + 13*a^10*z^2 - 
   5*a^12*z^2 - a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 
   9*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 5*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 20399] -> 2*a^4 - a^6 + a^10 - a^12 + z^2 - a^2*z^2 + 
   4*a^4*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 20400] -> 
  -2/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20401] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + 2*z^2 + (4*z^2)/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20402] -> 1 + z^2 - a^2*z^2 - a^8*z^2 + a^10*z^2 + 
   z^4 - z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20403] -> 
  -4 - a^(-4) + 4/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 14*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20404] -> -5 - 2/a^8 + 5/a^6 - 6/a^4 + 7/a^2 + 
   2*a^2 - 14*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (25*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 20405] -> -1 - a^(-8) + 2/a^6 - 2/a^4 + 
   3/a^2 - a^2 + a^4 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 20406] -> 
  3 - a^(-2) - 3*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 6*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 20407] -> -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   8*z^2 + z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 7*z^4 + z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 20408] -> 2*a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + z^2 + 4*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 12*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 20409] -> 
  1 - 2*a^2 + 3*a^4 - a^6 + a^10 - a^12 + 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 20410] -> 
  a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + a^2*z^2 - 2*a^4*z^2 + 
   7*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 20411] -> -6 + 2/a^6 - 4/a^4 + 5/a^2 + 5*a^2 - a^4 - 
   16*z^2 + z^2/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 12*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + (5*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 20412] -> -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 
   3*z^2 - (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 20413] -> -1 + a^(-4) + 2*a^2 - 4*a^4 + 
   4*a^6 - a^8 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 20414] -> a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 
   a^4 + 2*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 6*z^4 + (6*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 20415] -> -4 + 2/a^2 + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   11*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20416] -> 
  a^(-4) - a^(-2) + a^2 + z^2/a^4 - (3*z^2)/a^2 - a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20417] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20418] -> 1 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 + a^2 + 
   3*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 6*z^4 + (6*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[15, Alternating, 20419] -> 
  3 + 2/a^4 - 3/a^2 - a^2 - 3*a^4 + 4*a^6 - a^8 + 5*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20420] -> 
  a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 - (3*z^2)/a^4 - 3*a^2*z^2 - a^8*z^2 + 
   3*z^4 + (3*z^4)/a^2 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 20421] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20422] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 6*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20423] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20424] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 + 5*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 20425] -> a^2 - a^4 + a^6 + 2*a^10 - 2*a^12 + 
   2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - a^4*z^4 - 3*a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 20426] -> -a^(-4) + 2/a^2 - z^2/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 20427] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 7*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 20428] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   6*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 20429] -> 1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   z^2 + 4*a^2*z^2 - 16*a^4*z^2 + 19*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 7*a^2*z^4 - 22*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 20430] -> 
  2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - 6*a^2*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20431] -> a^4 - a^6 + 4*a^8 - 3*a^10 + a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 3*a^4*z^4 - 
   6*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 20432] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 20433] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 14*a^2*z^2 - 18*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20434] -> 1 - a^4 + 2*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20435] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 + 
   9*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 20436] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20437] -> 
  -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 5*z^2 + z^2/a^4 + 9*a^2*z^2 - 
   8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 20438] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20439] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^8 - 2*a^10 + 2*z^2 - 3*a^2*z^2 + 5*a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20440] -> 
  a^2 + a^6 - a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 20441] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   12*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20442] -> 
  -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 19*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20443] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 
   16*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20444] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20445] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20446] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   6*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20447] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 
   10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 14*a^6*z^4 - 
   14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20448] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20449] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 4*a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20450] -> 
  4*a^6 - 3*a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 
   z^4 + 2*a^2*z^4 - 10*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 20451] -> 2*a^4 - a^6 + 2*a^10 - 3*a^12 + a^14 + 
   3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 7*a^10*z^2 - 3*a^12*z^2 - a^4*z^4 + 
   9*a^6*z^4 - 10*a^8*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - 3*a^4*z^6 + 7*a^6*z^6 - 
   4*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 20452] -> 
  a^2 - a^6 + 4*a^8 - 4*a^10 + a^12 + a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   9*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 + 
   5*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20453] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 
   6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 20454] -> 1 - a^2 + 3*a^4 - 4*a^6 + 
   3*a^8 - a^10 + z^2 - a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 
   a^10*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 - 8*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 
   z^6 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 20455] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 
   2*a^4 - 11*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 + z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 20456] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 5*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20457] -> 
  2 - a^(-2) + a^4 - a^6 + z^2 - z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + z^4/a^2 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20458] -> 5*a^6 - 5*a^8 + a^10 + 2*a^2*z^2 - 
   8*a^4*z^2 + 20*a^6*z^2 - 9*a^8*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 21*a^6*z^4 - 
   a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 20459] -> 2*a^4 - a^8 + z^2 - 3*a^2*z^2 + 
   5*a^4*z^2 + 2*a^6*z^2 - a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 4*a^4*z^4 + 
   a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20460] -> 
  2*a^4 + a^6 - 5*a^8 + 6*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 6*a^6*z^2 - 
   14*a^8*z^2 + 14*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 
   15*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 7*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 20461] -> 
  -2 - 2/a^8 + 2/a^6 - a^(-4) + 4/a^2 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 20462] -> 
  2 - a^(-8) - a^(-6) + 4/a^4 - 2/a^2 - a^2 + 5*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20463] -> 2 - 3/a^6 + 5/a^4 - 2/a^2 - a^2 + 4*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20464] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - 
   z^2/a^6 - z^2/a^4 + (12*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 20465] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 5*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20466] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 4*a^2*z^4 - 
   15*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20467] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + 
   z^2/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 20468] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   5*z^2 + z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20469] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - 7*a^4*z^4 + 15*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 
   8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 20470] -> 1 - a^(-2) + a^2 + 2*a^4 - 
   2*a^6 - 3*z^2 + 7*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (4*z^4)/a^2 + 
   9*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 + a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 20471] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 - 
   a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - a^10*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   8*a^6*z^4 + 3*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 2*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 20472] -> 
  3 - a^(-4) - a^4 + 8*z^2 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 20473] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20474] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 - 
   a^4*z^2 + 6*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   8*a^6*z^4 + 4*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 2*a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 20475] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20476] -> 1 - a^(-2) + 3*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   3*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20477] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + 3*a^2*z^2 - 
   10*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 18*a^4*z^4 + 
   6*a^6*z^4 + a^8*z^4 - 3*z^6 + 8*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20478] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   9*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20479] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20480] -> 2*a^4 - a^8 + z^2 + a^2*z^2 - 3*a^4*z^2 + 
   8*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 5*a^2*z^4 - 14*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20481] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20482] -> 4*a^2 - 4*a^4 + a^6 - a^8 + a^10 - z^2 + 
   9*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 20*a^4*z^4 + 13*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 20483] -> 
  1 + 2*a^2 - 3*a^4 + a^6 - a^8 + a^10 + z^2 + a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20484] -> 1 + 2*a^2 - 3*a^4 + a^6 - a^8 + a^10 + 
   4*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   5*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 20485] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 + 6*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20486] -> 
  2 - 2*a^4 + a^6 - a^8 + a^10 + 3*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 
   8*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20487] -> a^(-2) + a^2 - 2*a^4 + a^6 - a^8 + a^10 - 
   z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20488] -> 1 + z^2 - z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 20489] -> 1 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 20490] -> 1 - z^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20491] -> -1 + a^(-4) + a^4 - 6*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20492] -> a^(-2) - a^2 + a^4 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20493] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 20494] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 + a^4*z^2 + 15*a^6*z^2 - 17*a^8*z^2 + 
   6*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 16*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20495] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 + 11*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20496] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 3*a^4*z^2 + 9*a^6*z^2 - 13*a^8*z^2 + 5*a^10*z^2 + a^12*z^2 - 
   a^2*z^4 - a^4*z^4 + 10*a^6*z^4 - 13*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 20497] -> 1 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20498] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + 
   z^2/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 20499] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20500] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 
   9*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   7*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 20501] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20502] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 19*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20503] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20504] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   9*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20505] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20506] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20507] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20508] -> 
  5*a^6 - 4*a^8 - a^10 + a^12 - a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 - 
   6*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 
   12*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 20509] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 - 
   3*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 20510] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20511] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 19*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20512] -> 1 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20513] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20514] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 
   4*a^6*z^2 - 12*z^4 - z^4/a^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20515] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 20516] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 18*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20517] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + z^2 + 3*a^2*z^2 - 11*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20518] -> 
  2*a^4 + a^6 - 2*a^8 - a^10 + a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 
   a^12*z^2 - a^2*z^4 + 8*a^6*z^4 - 9*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 20519] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - 
   z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 20520] -> 
  2*a^4 - a^6 + 3*a^8 - 5*a^10 + 2*a^12 + 3*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 - 
   9*a^10*z^2 + 3*a^12*z^2 - a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - 9*a^10*z^4 + 
   3*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 20521] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 20522] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   12*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20523] -> 
  1 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20524] -> a^2 + 3*a^8 - 5*a^10 + 2*a^12 + 
   a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 
   a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 6*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[15, Alternating, 20525] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (7*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20526] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20527] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20528] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 20529] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + z^4 + z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 20530] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20531] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 5*a^4*z^2 + 
   9*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 11*a^4*z^4 + 
   14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20532] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 
   a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20533] -> a^2 + a^4 - a^6 + a^2*z^2 + 2*a^4*z^2 - 
   4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^4*z^4 + 6*a^6*z^4 - 10*a^8*z^4 + 
   4*a^10*z^4 + a^2*z^6 - 5*a^4*z^6 + 9*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   3*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 20534] -> 
  2*a^2 - a^4 - 3*z^2 + 7*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 6*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 4*z^6 + 
   (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 20535] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   6*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   13*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20536] -> 2 - 2*a^2 + 2*a^6 - a^8 + a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20537] -> 3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 
   8*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   14*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20538] -> a^(-2) - a^2 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20539] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 + z^2/a^2 - 
   (2*z^4)/a^10 + (10*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (9*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 20540] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 8*z^2 + z^2/a^6 - z^2/a^4 + 4*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 20541] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (18*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (29*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 20542] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + (3*z^2)/a^12 - (18*z^2)/a^10 + 
   (25*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (22*z^4)/a^10 + 
   (37*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (27*z^6)/a^8 + z^6/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20543] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (12*z^2)/a^10 + (14*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (16*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20544] -> -a^(-4) + 2/a^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 - 
   (17*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 20545] -> 
  3/a^12 - 11/a^10 + 9/a^8 + a^(-6) - a^(-4) + (4*z^2)/a^12 - (27*z^2)/a^10 + 
   (33*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (27*z^4)/a^10 + 
   (46*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (32*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20546] -> -1 + 2/a^8 - 11/a^6 + 14/a^4 - 3/a^2 - 
   4*z^2 + (4*z^2)/a^8 - (26*z^2)/a^6 + (39*z^2)/a^4 - (6*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (27*z^4)/a^6 + (47*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (14*z^6)/a^6 + (32*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20547] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   (4*z^2)/a^16 - (19*z^2)/a^14 + (6*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 - (18*z^4)/a^14 + (22*z^4)/a^12 + (26*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (19*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 20548] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20549] -> -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 
   7*z^2 + z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^8 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 20550] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 20551] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (13*z^4)/a^6 + (15*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (11*z^6)/a^6 + (19*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20552] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (12*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (28*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (25*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 20553] -> -a^(-18) + 7/a^16 - 13/a^14 + 
   5/a^12 + 2/a^10 + a^(-8) + (9*z^2)/a^16 - (35*z^2)/a^14 + (22*z^2)/a^12 + 
   (12*z^2)/a^10 + (4*z^2)/a^8 + z^4/a^16 - (28*z^4)/a^14 + (36*z^4)/a^12 + 
   (22*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (5*z^6)/a^14 + (25*z^6)/a^12 + 
   (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 20554] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 - (2*z^2)/a^10 + (11*z^2)/a^8 - (15*z^2)/a^6 + (8*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (16*z^4)/a^8 - (25*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - (22*z^6)/a^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 20555] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - (5*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 + (6*z^4)/a^8 + (5*z^4)/a^6 - 
   z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20556] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - z^4/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20557] -> -a^(-4) + 2/a^2 - 10*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20558] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (3*z^2)/a^12 - (20*z^2)/a^10 + (24*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (24*z^4)/a^10 + (39*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (30*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 20559] -> a^(-8) - 7/a^6 + 10/a^4 - 
   3/a^2 - 2*z^2 + (3*z^2)/a^8 - (19*z^2)/a^6 + (30*z^2)/a^4 - (7*z^2)/a^2 - 
   5*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + (40*z^4)/a^4 - (3*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (30*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20560] -> 8 - 3/a^2 - 5*a^2 + a^4 + 27*z^2 - 
   (6*z^2)/a^2 - 31*a^2*z^2 + 12*a^4*z^2 + 42*z^4 - (6*z^4)/a^2 - 
   66*a^2*z^4 + 24*a^4*z^4 + 33*z^6 - (4*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 20561] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 19*z^2 - (4*z^2)/a^6 + (29*z^2)/a^4 - 
   (46*z^2)/a^2 + 28*z^4 - (6*z^4)/a^6 + (44*z^4)/a^4 - (81*z^4)/a^2 + 
   20*z^6 - (4*z^6)/a^6 + (34*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 20562] -> -a^(-14) + 7/a^12 - 14/a^10 + 
   8/a^8 + a^(-6) - (4*z^2)/a^14 + (21*z^2)/a^12 - (38*z^2)/a^10 + 
   (21*z^2)/a^8 + (5*z^2)/a^6 - (4*z^4)/a^14 + (28*z^4)/a^12 - 
   (46*z^4)/a^10 + (16*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (33*z^6)/a^10 + (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 20563] -> 
  4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + (4*z^2)/a^16 - (27*z^2)/a^14 + 
   (19*z^2)/a^12 + (16*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (19*z^4)/a^14 + 
   (32*z^4)/a^12 + (27*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 20564] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - 
   (13*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (10*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20565] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20566] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 14*z^2 - (6*z^2)/a^6 + (28*z^2)/a^4 - 
   (36*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + (48*z^4)/a^4 - (71*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 20567] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 
   2*a^2 - 11*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 
   19*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 20568] -> 
  -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - 
   (14*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - 
   (14*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (9*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20569] -> -7*a^2 + 17*a^4 - 9*a^6 + 2*z^2 - 
   33*a^2*z^2 + 71*a^4*z^2 - 30*a^6*z^2 + 7*z^4 - 55*a^2*z^4 + 115*a^4*z^4 - 
   39*a^6*z^4 + 5*z^6 - 42*a^2*z^6 + 94*a^4*z^6 - 25*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 20570] -> 
  16 + a^(-4) - 9/a^2 - 7*a^2 + 55*z^2 + (4*z^2)/a^4 - (31*z^2)/a^2 - 
   22*a^2*z^2 + 86*z^4 + (6*z^4)/a^4 - (45*z^4)/a^2 - 29*a^2*z^4 + 73*z^6 + 
   (4*z^6)/a^4 - (34*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 20571] -> -2 + 9*a^4 - 6*a^6 - 7*z^2 + 2*a^2*z^2 + 
   29*a^4*z^2 - 15*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 36*a^4*z^4 - 
   14*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20572] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 2*z^2 + 
   2*a^2*z^2 + 14*a^4*z^2 - 18*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   7*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 20573] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 2*z^2 - 5*a^2*z^2 + 22*a^4*z^2 - 10*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 27*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20574] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 12*z^2 - (2*z^2)/a^6 + (17*z^2)/a^4 - 
   (28*z^2)/a^2 + 19*z^4 - (5*z^4)/a^6 + (31*z^4)/a^4 - (55*z^4)/a^2 + 
   15*z^6 - (4*z^6)/a^6 + (28*z^6)/a^4 - (53*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 20575] -> -1 - 3*a^2 + 12*a^4 - 7*a^6 - 
   8*z^2 + z^2/a^2 - a^2*z^2 + 33*a^4*z^2 - 16*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 + 38*a^4*z^4 - 14*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20576] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 6*z^2 - z^2/a^2 + 12*a^2*z^2 + 10*a^4*z^2 - 
   7*a^6*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 14*a^2*z^4 + 10*a^4*z^4 - 
   4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 20577] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20578] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 - z^2/a^2 + 7*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 20579] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + z^2/a^12 - (6*z^2)/a^10 - 
   (4*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (4*z^4)/a^8 + (24*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20580] -> 
  -a^(-8) + 2/a^4 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + 
   (11*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + 
   z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 20581] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 12*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 - 10*a^2*z^4 + 7*a^4*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 20582] -> 
  -3 - 2/a^6 + 6/a^4 - 3/a^2 + 3*a^2 - 13*z^2 - (2*z^2)/a^6 + (14*z^2)/a^4 - 
   (11*z^2)/a^2 + 9*a^2*z^2 - 21*z^4 - (2*z^4)/a^6 + (14*z^4)/a^4 - 
   (16*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 20583] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 + (2*z^2)/a^12 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 - (2*z^4)/a^10 - 
   (10*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (6*z^6)/a^10 - 
   (11*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20584] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - 
   (3*z^2)/a^10 + (14*z^2)/a^8 - (12*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   (2*z^4)/a^10 + (14*z^4)/a^8 - (15*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (10*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20585] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (13*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + 
   z^4/a^8 - (11*z^4)/a^6 + (14*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20586] -> -a^(-18) + 8/a^16 - 17/a^14 + 9/a^12 + 
   2/a^10 + (10*z^2)/a^16 - (42*z^2)/a^14 + (31*z^2)/a^12 + (13*z^2)/a^10 + 
   (2*z^2)/a^8 + z^4/a^16 - (31*z^4)/a^14 + (43*z^4)/a^12 + (24*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (5*z^6)/a^14 + (27*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 20587] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   (2*z^2)/a^16 - (12*z^2)/a^14 + (18*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (6*z^4)/a^14 + (9*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 20588] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - 
   z^2/a^14 + (3*z^2)/a^12 - (8*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 - (4*z^4)/a^10 - z^4/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20589] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (2*z^2)/a^16 - (14*z^2)/a^14 + 
   z^2/a^12 + (21*z^2)/a^10 + (3*z^2)/a^8 - z^4/a^16 - (8*z^4)/a^14 + 
   (12*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (8*z^6)/a^12 + (11*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 20590] -> 3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - 
   (23*z^2)/a^14 + (11*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - 
   (18*z^4)/a^14 + (27*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   (2*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 20591] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20592] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + z^2/a^16 - (11*z^2)/a^14 + 
   (5*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (5*z^4)/a^14 + (11*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 20593] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 9*z^2 - 
   (4*z^2)/a^6 + (18*z^2)/a^4 - (22*z^2)/a^2 + 18*z^4 - (6*z^4)/a^6 + 
   (34*z^4)/a^4 - (51*z^4)/a^2 + 15*z^6 - (4*z^6)/a^6 + (29*z^6)/a^4 - 
   (52*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 20594] -> 
  -2/a^10 + 10/a^8 - 16/a^6 + 9/a^4 - (6*z^2)/a^10 + (36*z^2)/a^8 - 
   (57*z^2)/a^6 + (26*z^2)/a^4 - (8*z^4)/a^10 + (52*z^4)/a^8 - (90*z^4)/a^6 + 
   (31*z^4)/a^4 - (5*z^6)/a^10 + (38*z^6)/a^8 - (75*z^6)/a^6 + (20*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 20595] -> 
  -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (14*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20596] -> 21 + 2/a^4 - 13/a^2 - 9*a^2 + 68*z^2 + 
   (5*z^2)/a^4 - (39*z^2)/a^2 - 27*a^2*z^2 + 99*z^4 + (6*z^4)/a^4 - 
   (50*z^4)/a^2 - 33*a^2*z^4 + 79*z^6 + (4*z^6)/a^4 - (35*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 20597] -> 
  -3 + 4*a^2 + 4*a^4 - 4*a^6 - 7*z^2 + 7*a^2*z^2 + 19*a^4*z^2 - 11*a^6*z^2 - 
   8*z^4 + z^4/a^2 + 9*a^2*z^4 + 27*a^4*z^4 - 11*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20598] -> 
  6 + a^(-6) - 5/a^4 + 3/a^2 - 4*a^2 + 17*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (12*z^2)/a^2 - 11*a^2*z^2 + 24*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + 
   (18*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 20599] -> 
  -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - (4*z^2)/a^10 + (22*z^2)/a^8 - 
   (28*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (26*z^4)/a^8 - 
   (41*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (31*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20600] -> -a^(-10) + 3/a^8 - 6/a^4 + 5/a^2 - 
   (3*z^2)/a^10 + (14*z^2)/a^8 - (7*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (15*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (12*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20601] -> 2 - a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + 
   4*z^2 - z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (4*z^4)/a^8 - z^4/a^6 - (13*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20602] -> 
  12 + a^(-4) - 7/a^2 - 5*a^2 + 49*z^2 + (6*z^2)/a^4 - (32*z^2)/a^2 - 
   19*a^2*z^2 + 82*z^4 + (7*z^4)/a^4 - (48*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + 
   (4*z^6)/a^4 - (35*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 20603] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 58*z^2 + 
   (7*z^2)/a^4 - (38*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - 
   (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 20604] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + (3*z^2)/a^8 - (18*z^2)/a^6 + 
   (28*z^2)/a^4 - (10*z^2)/a^2 + (5*z^4)/a^8 - (32*z^4)/a^6 + (54*z^4)/a^4 - 
   (19*z^4)/a^2 + (4*z^6)/a^8 - (28*z^6)/a^6 + (53*z^6)/a^4 - (15*z^6)/a^2 + 
   z^8/a^8 - (12*z^8)/a^6 + (28*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 20605] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20606] -> -2 + a^2 + 7*a^4 - 5*a^6 - 8*z^2 + z^2/a^2 + 
   4*a^2*z^2 + 23*a^4*z^2 - 12*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 
   29*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 18*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20607] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (11*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20608] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 
   15*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 20609] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 20610] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20611] -> 6 - a^(-4) - 6*a^2 + 2*a^4 + 8*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 18*a^2*z^2 + 8*a^4*z^2 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 20612] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - (6*z^2)/a^12 + (13*z^2)/a^10 - 
   (9*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (2*z^4)/a^12 + 
   (11*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20613] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   z^2/a^16 - (11*z^2)/a^14 + z^2/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + (10*z^4)/a^12 + (20*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 20614] -> 
  -a^(-4) + 2/a^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 20615] -> 4 - a^(-8) + a^(-6) + 4/a^4 - 
   7/a^2 + 10*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (9*z^2)/a^4 - (23*z^2)/a^2 + 
   10*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 - (28*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 20616] -> -1 - a^(-8) + a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 
   4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 20617] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 22*z^2 + z^2/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   11*a^2*z^2 + 28*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 20618] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 3*z^4 - z^4/a^2 + 
   9*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 20619] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 
   12*z^2 - (2*z^2)/a^4 + z^2/a^2 - 19*a^2*z^2 + 7*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 + 9*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 20620] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 3*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - 6*z^4 - z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20621] -> 
  -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20622] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - z^2/a^14 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (4*z^4)/a^12 + (9*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - z^6/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20623] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 10*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (25*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20624] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 20625] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 
   2*a^4 + a^6 - 15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20626] -> -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 3*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 13*a^2*z^4 - 13*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 20627] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + 
   (6*z^2)/a^10 - (21*z^2)/a^8 + (22*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (13*z^4)/a^8 + (24*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (14*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20628] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20629] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 20630] -> 5 - a^(-2) - 4*a^2 + a^6 + 7*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20631] -> -a^(-4) + 3/a^2 - 2*a^2 + a^6 - z^2 - 
   z^2/a^6 + (4*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 20632] -> 
  1 + 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 20633] -> 
  -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 11*z^2 - z^2/a^6 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 8*z^4 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20634] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - z^2/a^14 - (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20635] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   z^4/a^10 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 20636] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20637] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 - z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20638] -> 
  -3/a^6 + 7/a^4 - 4/a^2 + a^2 - z^2 - (5*z^2)/a^6 + (23*z^2)/a^4 - 
   (21*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 - (4*z^4)/a^6 + (29*z^4)/a^4 - 
   (38*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + (16*z^6)/a^4 - (32*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 20639] -> 
  1 - a^(-8) + 5/a^4 - 5/a^2 + a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 20640] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + 
   (7*z^2)/a^8 - (29*z^2)/a^6 + (36*z^2)/a^4 - (12*z^2)/a^2 + (9*z^4)/a^8 - 
   (49*z^4)/a^6 + (70*z^4)/a^4 - (24*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + 
   (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 20641] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - 2*z^2 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (16*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (19*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20642] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + 
   (8*z^2)/a^8 - (33*z^2)/a^6 + (41*z^2)/a^4 - (13*z^2)/a^2 + (9*z^4)/a^8 - 
   (46*z^4)/a^6 + (63*z^4)/a^4 - (20*z^4)/a^2 + (5*z^6)/a^8 - (34*z^6)/a^6 + 
   (55*z^6)/a^4 - (15*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (28*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 20643] -> 4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + 
   (10*z^2)/a^8 - (43*z^2)/a^6 + (55*z^2)/a^4 - (18*z^2)/a^2 + (12*z^4)/a^8 - 
   (60*z^4)/a^6 + (83*z^4)/a^4 - (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (70*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 20644] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (18*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (19*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20645] -> 2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 + 
   z^2/a^14 - (11*z^2)/a^12 + (15*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 - (2*z^4)/a^12 + (16*z^4)/a^10 - (8*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 + (4*z^6)/a^10 - (8*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 20646] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 + 
   z^2 - (7*z^2)/a^8 + (22*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (16*z^4)/a^6 - (20*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20647] -> 2/a^14 - 6/a^12 + 4/a^10 - a^(-8) + 2/a^6 - 
   (9*z^2)/a^12 + (15*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (15*z^4)/a^10 - (10*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20648] -> 
  -6 - 5/a^4 + 11/a^2 + a^2 - 18*z^2 - z^2/a^6 - (5*z^2)/a^4 + (23*z^2)/a^2 + 
   5*a^2*z^2 - 22*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (14*z^4)/a^2 + 
   8*a^2*z^4 - 15*z^6 - z^6/a^6 + (8*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20649] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - 
   (6*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20650] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 7*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   z^4/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20651] -> 2/a^14 - 5/a^12 + a^(-10) + 2/a^8 + a^(-6) - 
   (7*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^14 + 
   (5*z^4)/a^12 + (6*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 - z^6/a^14 + 
   (8*z^6)/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - 
   (4*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 20652] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - z^2/a^14 - z^2/a^12 + (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (3*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 - (4*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 20653] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - 
   a^4 - 16*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 20654] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (13*z^2)/a^4 + 5*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (16*z^4)/a^4 - 
   (7*z^4)/a^2 + 4*z^6 - z^6/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 - (9*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 20655] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 9*z^2 + 
   z^2/a^2 + 11*a^2*z^2 + 12*a^4*z^2 - 8*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 + 20*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20656] -> 
  -a^(-2) + 3*a^2 + a^4 - 2*a^6 - 2*z^2 - z^2/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 20657] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 4*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20658] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20659] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 20660] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 20661] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (12*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 - z^6/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 20662] -> -a^(-10) + a^(-8) + 3/a^6 - 
   6/a^4 + 4/a^2 - z^2 + (3*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 - z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 20663] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 + 3*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (17*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 20664] -> -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 
   4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^8 + z^4/a^6 + z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20665] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + a^2*z^2 + a^4*z^2 - 8*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - a^2*z^4 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 20666] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20667] -> 
  3 - a^(-4) - a^4 + 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - (3*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 20668] -> 
  -9 - 2/a^4 + 8/a^2 + 5*a^2 - 2*a^4 + a^6 - 28*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 33*z^4 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20669] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 23*z^2 - z^2/a^6 - z^2/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - a^4*z^2 - 
   24*z^4 - z^4/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 
   13*z^6 + (2*z^6)/a^4 + z^6/a^2 - a^2*z^6 + a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 20670] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 10*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 20671] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 9*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 20672] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 + z^6/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20673] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (4*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20674] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20675] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (13*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 20676] -> 
  -3 - a^(-8) + 2/a^6 - 3/a^4 + 5/a^2 + a^2 - 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 20677] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20678] -> 1 - 2/a^4 + 3/a^2 - a^2 - z^2/a^6 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20679] -> 
  -4 - a^(-6) + 3/a^4 + 4*a^2 - 2*a^4 + a^6 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 20680] -> 
  -3 - a^(-4) + 4/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 - z^2/a^6 + (7*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 20681] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 20682] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^12 + 
   (2*z^4)/a^10 - (13*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20683] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 20684] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 - z^2/a^12 + (8*z^2)/a^10 - 
   (20*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - 
   (13*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - 
   z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20685] -> -a^(-12) + 3/a^10 - 3/a^8 - a^(-6) + 3/a^4 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 20686] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20687] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 + 
   z^4/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20688] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   (4*z^2)/a^10 - (17*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (20*z^4)/a^8 + (20*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^10 - 
   (11*z^6)/a^8 + (14*z^6)/a^6 + (12*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 20689] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (2*z^4)/a^6 + 
   (10*z^4)/a^4 - z^4/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 20690] -> a^(-12) - 3/a^10 + 3/a^8 - 3/a^6 + 3/a^4 + 
   z^2/a^12 - (4*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20691] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20692] -> -2/a^12 + 5/a^10 - 5/a^8 + 3/a^6 - 2/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20693] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 20694] -> 
  1 - 4/a^8 + 10/a^6 - 8/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (24*z^2)/a^6 - (19*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - (6*z^4)/a^8 + 
   (22*z^4)/a^6 - (15*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (13*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20695] -> 2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20696] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 19*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20697] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20698] -> 
  2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + a^14 + 8*a^6*z^2 - 7*a^8*z^2 + 
   17*a^10*z^2 - 6*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 8*a^6*z^4 - 
   10*a^8*z^4 + 16*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 10*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 20699] -> 6*a^6 - 10*a^8 + 8*a^10 - 3*a^12 + a^2*z^2 - 
   4*a^4*z^2 + 22*a^6*z^2 - 26*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 + 
   3*a^2*z^4 - 11*a^4*z^4 + 27*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - 
   a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 16*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 
   2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 20700] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   4*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 20701] -> -a^(-14) + a^(-12) + 2/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^14 + (5*z^2)/a^12 + (4*z^2)/a^10 - (13*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - 
   (15*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 20702] -> 
  1 - a^(-10) - a^(-8) + 6/a^6 - 5/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (14*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 20703] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + 
   a^8 - 5*z^2 + (2*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   4*z^4 - z^4/a^4 + (2*z^4)/a^2 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 20704] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20705] -> 
  a^6 + a^8 + a^10 - 2*a^12 + 6*a^6*z^2 + 10*a^10*z^2 - 3*a^12*z^2 - 
   2*a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + 13*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 20706] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   7*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 20707] -> a^2 - a^4 + 4*a^6 - 6*a^8 + 
   5*a^10 - 2*a^12 + 3*a^2*z^2 - 5*a^4*z^2 + 13*a^6*z^2 - 14*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 13*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 20708] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 
   4/a^4 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20709] -> a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + 4*a^2*z^2 - 8*a^4*z^2 + 15*a^6*z^2 - 11*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 + a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 10*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 3*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 20710] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 
   2*a^8 - 5*z^2 + z^2/a^2 + 14*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20711] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20712] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20713] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - z^4/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20714] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 20715] -> 1 - a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - a^(-2) + z^2 + (4*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20716] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20717] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20718] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + 3*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 + 
   4*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 
   a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 20719] -> -3/a^14 + 7/a^12 - 5/a^10 - 
   2/a^8 + 4/a^6 - (4*z^2)/a^14 + (21*z^2)/a^12 - (17*z^2)/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (17*z^4)/a^12 - 
   (23*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (14*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 20720] -> 
  -2/a^14 + 4/a^12 - 2/a^10 - 2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (9*z^2)/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 20721] -> -3/a^10 + 5/a^8 - a^(-6) - 2/a^4 + 2/a^2 - 
   (6*z^2)/a^10 + (16*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (8*z^4)/a^10 + (19*z^4)/a^8 + (2*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20722] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 + 2*z^2 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20723] -> 
  1 - 2/a^10 + 2/a^8 + 2/a^6 - 2/a^4 + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20724] -> 
  1 - a^(-10) + 3/a^6 - 2/a^4 + z^2 - z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20725] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   a^4*z^2 + 7*a^6*z^2 - 12*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 
   7*a^4*z^4 + 13*a^6*z^4 - 20*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 20726] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - a^4*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 20727] -> 
  -2 + 2/a^2 + 2*a^6 - a^8 - 6*z^2 + z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 20728] -> 
  -5 + a^(-6) - 2/a^4 + 3/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 20729] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + 2*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 20730] -> 2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + 
   a^4 + 4*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 6*z^4 + (6*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, 
 Knot[15, Alternating, 20731] -> a^4 - a^6 + 3*a^8 - a^10 - a^12 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 20732] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 
   a^(-4) + z^2 + (5*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20733] -> -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + z^4/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20734] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 2/a^4 + z^2 + (4*z^2)/a^12 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 20735] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 
   3*z^2 - (5*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 
   3*z^4 + (8*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 20736] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 13*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 11*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 20737] -> 
  -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 4*z^2 - (4*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - a^6*z^2 - z^4 + (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 20738] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 7*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20739] -> -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 
   18*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 20740] -> 
  -5 + 3/a^2 + 4*a^2 - 3*a^4 + 3*a^6 - a^8 - 13*z^2 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20741] -> -1 + a^(-4) + a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20742] -> 
  -8 + 4/a^2 + 9*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 18*z^2 + (4*z^2)/a^2 + 
   23*a^2*z^2 - 26*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 13*z^4 + z^4/a^2 + 
   27*a^2*z^4 - 29*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 20743] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 - 
   a^4 + 3*a^6 - a^8 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 20744] -> a^(-6) - a^(-4) + a^(-2) - 
   2*a^2 + 2*a^4 - (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 - a^8*z^2 + 3*z^4 + 
   (3*z^4)/a^2 + 2*a^4*z^4 + 2*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 20745] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 - 2*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 20746] -> 
  -1 + a^(-4) + a^2 - 2*a^4 + 3*a^6 - a^8 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20747] -> 
  -1 + a^(-4) + a^2 - 2*a^4 + 3*a^6 - a^8 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 20748] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 15*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20749] -> 1 - a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   2*a^2 + a^4 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20750] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20751] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20752] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 20753] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 - 4*z^2 + z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20754] -> 
  4*a^6 - 3*a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 
   z^4 + 2*a^2*z^4 - 10*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 20755] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   12*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20756] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20757] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20758] -> 
  -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 5*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20759] -> 1 - 2*a^2 + 2*a^4 + a^6 - a^10 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 20760] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20761] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - a^10*z^2 + z^4 + 
   2*a^2*z^4 - 11*a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 20762] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20763] -> 
  -1 + 2*a^2 - a^4 + 4*a^6 - 3*a^8 - 2*z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + 3*z^4 - a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 - 
   5*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 20764] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 3*z^2 + 
   7*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 + 
   2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20765] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 20766] -> -1 + 2*a^2 + a^4 - a^8 - z^2 + 
   2*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - 
   a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 20767] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20768] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20769] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   2*z^2 + z^2/a^10 + (2*z^2)/a^8 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20770] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20771] -> 
  -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 9*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20772] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - z^4 - z^4/a^2 + 
   4*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 20773] -> -5 + 3/a^2 + 5*a^2 - 5*a^4 + 
   4*a^6 - a^8 - 15*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20774] -> -1 + a^(-4) + a^2 - a^4 + a^6 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20775] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 20776] -> 
  -2 - a^(-6) + a^(-4) + a^(-2) + 4*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20777] -> 
  2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20778] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 19*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20779] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 9*z^2 + z^2/a^2 + 22*a^2*z^2 - 
   18*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 20780] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20781] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 20782] -> -8 - 3/a^4 + 8/a^2 + 6*a^2 - 2*a^4 - 
   22*z^2 - (7*z^2)/a^4 + (22*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (25*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20783] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^4 - a^6 - 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 20784] -> 1 - a^(-2) + 4*a^4 - 3*a^6 - 3*z^2 + 
   5*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20785] -> -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20786] -> 
  -3 - 3/a^4 + 6/a^2 + 2*a^2 - a^4 - 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20787] -> 
  -4 - 4/a^4 + 8/a^2 + 2*a^2 - a^4 - 13*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (19*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20788] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20789] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 - z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 
   4*z^4 + (2*z^4)/a^4 - z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 20790] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 
   z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 20791] -> 
  6 + a^(-4) - 4/a^2 - 3*a^2 + 2*a^4 - a^6 + 10*z^2 + z^2/a^4 - (7*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 7*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20792] -> 
  2*a^4 - a^8 - 2*z^2 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20793] -> 
  a^(-2) + a^2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 - z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20794] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 8*z^2 - z^2/a^4 + z^2/a^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20795] -> -1 + a^(-4) + a^4 - 6*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20796] -> 1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + 
   a^10 + z^2 + a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 20797] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   6*z^2 - z^2/a^2 + 14*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20798] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 
   9*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 2*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - 7*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 7*a^6*z^6 + a^8*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 20799] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20800] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20801] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 8*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 12*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 20802] -> 
  2 - 2*a^2 + a^4 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   9*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 20803] -> -a^(-4) + 2/a^2 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20804] -> 
  a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 2*a^4*z^2 + 11*a^6*z^2 - 15*a^8*z^2 + 
   5*a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 11*a^6*z^4 - 13*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 20805] -> 
  1 - z^2/a^4 + z^2/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 20806] -> 2 - 2*a^2 + a^4 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 20807] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 + a^4*z^2 + 15*a^6*z^2 - 18*a^8*z^2 + 
   6*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 16*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20808] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 
   z^4 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 20809] -> 
  2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - 5*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 8*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 20810] -> 
  a^2 + a^6 - a^8 + 3*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 20811] -> 6*a^6 - 6*a^8 + a^12 - a^4*z^2 + 
   15*a^6*z^2 - 9*a^8*z^2 - 6*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 12*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   10*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 20812] -> 2*a^4 + a^6 - 2*a^8 - a^10 + a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20813] -> a^4 + a^6 + 3*a^8 - 7*a^10 + 3*a^12 + 
   2*a^4*z^2 + 3*a^6*z^2 + 8*a^8*z^2 - 15*a^10*z^2 + 5*a^12*z^2 - a^4*z^4 + 
   4*a^6*z^4 + 8*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 
   6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 20814] -> 
  2*a^4 + a^8 - 4*a^10 + 2*a^12 + 4*a^4*z^2 + 2*a^8*z^2 - 6*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 20815] -> -1 + 2/a^2 - a^2 + a^6 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20816] -> a^(-4) - a^2 + a^6 - 8*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20817] -> 
  3*a^4 - a^6 - a^8 - a^10 + a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 
   a^12*z^2 - a^2*z^4 + 7*a^6*z^4 - 9*a^8*z^4 - a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 20818] -> 2*a^4 - a^6 + 4*a^8 - 7*a^10 + 
   3*a^12 + 3*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 14*a^10*z^2 + 5*a^12*z^2 - 
   a^4*z^4 + 3*a^6*z^4 + 7*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 
   5*a^6*z^6 + 6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 20819] -> a^2 + a^6 + a^8 - 4*a^10 + 2*a^12 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 
   a^2*z^4 + a^4*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20820] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20821] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20822] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 12*a^4*z^4 + 14*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20823] -> 2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20824] -> -5 - a^(-4) + 5/a^2 + 3*a^2 - 3*a^4 + 
   2*a^6 - 16*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20825] -> -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 20826] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 17*a^2*z^2 - 22*a^4*z^2 + 
   9*a^6*z^2 + a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 20827] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 + 5*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + a^10*z^2 - 2*z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 7*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 20828] -> 1 + 4*z^2 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 4*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 
   3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20829] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20830] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 7*z^2 - 
   (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 20831] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   2*z^2 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - a^6*z^2 + z^4 + z^4/a^6 + 
   z^4/a^4 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 20832] -> -2 + 2/a^8 - 11/a^6 + 13/a^4 - a^(-2) - 
   6*z^2 + (5*z^2)/a^8 - (32*z^2)/a^6 + (46*z^2)/a^4 - (5*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (59*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (16*z^6)/a^6 + (38*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20833] -> 5/a^16 - 14/a^14 + 8/a^12 + 2/a^10 + 
   (7*z^2)/a^16 - (39*z^2)/a^14 + (32*z^2)/a^12 + (13*z^2)/a^10 + z^2/a^8 - 
   (29*z^4)/a^14 + (47*z^4)/a^12 + (25*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 - 
   (4*z^6)/a^14 + (29*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 20834] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (2*z^2)/a^16 - (15*z^2)/a^14 + (3*z^2)/a^12 + 
   (19*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (7*z^4)/a^14 + (11*z^4)/a^12 + 
   (24*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 20835] -> 
  4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + (5*z^2)/a^16 - (32*z^2)/a^14 + 
   (26*z^2)/a^12 + (13*z^2)/a^10 + (2*z^2)/a^8 - (25*z^4)/a^14 + 
   (42*z^4)/a^12 + (24*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + 
   (27*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 20836] -> 
  3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (15*z^2)/a^14 + 
   (10*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (5*z^4)/a^14 + (14*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 20837] -> 5/a^16 - 14/a^14 + 8/a^12 + 2/a^10 + 
   (6*z^2)/a^16 - (38*z^2)/a^14 + (33*z^2)/a^12 + (12*z^2)/a^10 + z^2/a^8 - 
   z^4/a^16 - (27*z^4)/a^14 + (49*z^4)/a^12 + (24*z^4)/a^10 + (4*z^4)/a^8 - 
   z^6/a^16 - (3*z^6)/a^14 + (30*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 20838] -> 3/a^16 - 7/a^14 + 5/a^10 + z^2/a^16 - 
   (14*z^2)/a^14 + (4*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (6*z^4)/a^14 + (12*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 20839] -> 6/a^16 - 17/a^14 + 11/a^12 + a^(-10) + 
   (10*z^2)/a^16 - (53*z^2)/a^14 + (49*z^2)/a^12 + (8*z^2)/a^10 - 
   (48*z^4)/a^14 + (82*z^4)/a^12 + (18*z^4)/a^10 - (4*z^6)/a^16 - 
   (11*z^6)/a^14 + (64*z^6)/a^12 + (17*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + 
   (23*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 20840] -> 4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (22*z^2)/a^14 + (11*z^2)/a^12 + (19*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (13*z^4)/a^14 + (22*z^4)/a^12 + 
   (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 20841] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (4*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20842] -> -2/a^6 + 3/a^4 - 2*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 20843] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 + (2*z^2)/a^16 - (12*z^2)/a^14 - 
   (5*z^2)/a^12 + (25*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (11*z^4)/a^14 + 
   (11*z^4)/a^12 + (33*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (14*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 20844] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20845] -> 3 - a^(-2) - a^2 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20846] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20847] -> 7 - 3/a^2 - 3*a^2 + 26*z^2 - (7*z^2)/a^2 - 
   25*a^2*z^2 + 9*a^4*z^2 + 44*z^4 - (8*z^4)/a^2 - 59*a^2*z^4 + 21*a^4*z^4 + 
   36*z^6 - (5*z^6)/a^2 - 62*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 
   33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 20848] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 16*z^2 - 
   (5*z^2)/a^6 + (28*z^2)/a^4 - (40*z^2)/a^2 + 25*z^4 - (8*z^4)/a^6 + 
   (46*z^4)/a^4 - (74*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 20849] -> 
  5 - a^(-4) - 4*a^2 + a^4 + 8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 14*a^2*z^2 + 
   6*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 21*a^2*z^4 + 9*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20850] -> -a^(-10) + 7/a^8 - 13/a^6 + 8/a^4 - 
   (4*z^2)/a^10 + (28*z^2)/a^8 - (48*z^2)/a^6 + (23*z^2)/a^4 - (7*z^4)/a^10 + 
   (45*z^4)/a^8 - (80*z^4)/a^6 + (28*z^4)/a^4 - (5*z^6)/a^10 + (36*z^6)/a^8 - 
   (70*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + 
   (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 20851] -> -a^(-10) + 5/a^8 - 6/a^6 + 3/a^2 - 
   (2*z^2)/a^10 + (14*z^2)/a^8 - (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (21*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (13*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20852] -> -8*a^2 + 19*a^4 - 10*a^6 + z^2 - 
   33*a^2*z^2 + 75*a^4*z^2 - 32*a^6*z^2 + 6*z^4 - 53*a^2*z^4 + 118*a^4*z^4 - 
   40*a^6*z^4 + 5*z^6 - 41*a^2*z^6 + 95*a^4*z^6 - 25*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 20853] -> 
  -2 - a^2 + 11*a^4 - 7*a^6 - 8*z^2 + 3*a^2*z^2 + 31*a^4*z^2 - 16*a^6*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 10*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20854] -> 
  4*a^4 - 4*a^6 + a^8 - z^2 + a^2*z^2 + 11*a^4*z^2 - 15*a^6*z^2 + 6*a^8*z^2 - 
   3*z^4 + 7*a^2*z^4 + 7*a^4*z^4 - 22*a^6*z^4 + 8*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   2*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 20855] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 - 5*a^2*z^2 + 18*a^4*z^2 - 8*a^6*z^2 - 6*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 24*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20856] -> 
  -4 + 6*a^2 + 3*a^4 - 4*a^6 - 11*z^2 + 16*a^2*z^2 + 15*a^4*z^2 - 
   11*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 + 24*a^4*z^4 - 11*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 20857] -> 3 - 4*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 + 
   z^2/a^2 - 17*a^2*z^2 + 7*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   23*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20858] -> 5 - 2/a^2 - 2*a^2 + 17*z^2 - z^2/a^4 - 
   (6*z^2)/a^2 - 8*a^2*z^2 + 24*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 20859] -> 3 - a^(-2) - a^2 + 6*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 20860] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20861] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20862] -> 
  -4 - 2/a^6 + 5/a^4 - a^(-2) + 3*a^2 - 15*z^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - 
   (7*z^2)/a^2 + 9*a^2*z^2 - 22*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 20863] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 4*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20864] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 4*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20865] -> 
  14 + a^(-4) - 8/a^2 - 6*a^2 + 49*z^2 + (5*z^2)/a^4 - (30*z^2)/a^2 - 
   19*a^2*z^2 + 79*z^4 + (8*z^4)/a^4 - (47*z^4)/a^2 - 26*a^2*z^4 + 69*z^6 + 
   (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 20866] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 18*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 - z^2/a^2 - 9*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 20867] -> 
  2/a^16 - 5/a^14 + 2/a^12 - a^(-10) + 3/a^8 - (8*z^2)/a^14 + (5*z^2)/a^12 + 
   (3*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (8*z^4)/a^12 + (10*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 20868] -> 1 + a^(-6) - 2/a^2 + a^2 - 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 20869] -> 
  3 - 2/a^2 - 2*a^2 + 6*a^4 - 4*a^6 + 8*z^2 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   14*a^4*z^2 - 7*a^6*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 20870] -> 
  3 - 3*a^2 + a^6 + 5*z^2 - z^2/a^4 + z^2/a^2 - 8*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 + 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 10*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20871] -> 
  -a^(-10) + 3/a^8 + a^(-6) - 8/a^4 + 6/a^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   z^2/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - (2*z^4)/a^10 + (11*z^4)/a^8 - 
   (6*z^4)/a^6 - (29*z^4)/a^4 + (11*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (7*z^6)/a^6 - (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 20872] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 20873] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - z^2 - 6*a^2*z^2 + 21*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 20874] -> 
  3 - a^(-10) + 3/a^8 - a^(-6) - a^(-4) - 2/a^2 + 5*z^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 20875] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + (40*z^2)/a^4 - 
   (14*z^2)/a^2 + (8*z^4)/a^8 - (47*z^4)/a^6 + (73*z^4)/a^4 - (25*z^4)/a^2 + 
   (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 20876] -> 
  1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 - 2*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (18*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (20*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 20877] -> 
  2/a^16 - 3/a^14 - 5/a^12 + 7/a^10 - (7*z^2)/a^14 - (5*z^2)/a^12 + 
   (19*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (6*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 20878] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20879] -> 5 - a^(-8) + a^(-6) + 5/a^4 - 9/a^2 + 
   11*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + (8*z^2)/a^4 - (25*z^2)/a^2 + 10*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - (29*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 20880] -> -4 + 6*a^2 + 3*a^4 - 4*a^6 - 5*z^2 - 
   (2*z^2)/a^2 + 14*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 15*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 20881] -> 3*a^4 - 2*a^6 - 3*z^2 + 3*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 20882] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20883] -> 
  -3 - a^(-8) + a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - 7*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20884] -> 3*a^4 - 2*a^6 - 3*z^2 + 3*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 20885] -> 
  3 - 2/a^4 + 3/a^2 - 5*a^2 + 2*a^4 + 4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   14*a^2*z^2 + 6*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 17*a^2*z^4 + 
   7*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 20886] -> 3 - 3*a^2 + a^6 + 5*z^2 - 8*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 20887] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^4 - 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 20888] -> 
  3 + 2/a^4 - 4/a^2 + 7*z^2 - z^2/a^8 + z^2/a^6 + (8*z^2)/a^4 - 
   (17*z^2)/a^2 + 8*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (6*z^4)/a^4 - 
   (23*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 20889] -> 1 + 2/a^4 - 3/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20890] -> 1 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 20891] -> 3 - a^(-2) - a^2 + 12*z^2 - z^2/a^4 - 
   (4*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 20892] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 20893] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^4 + z^2/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 20894] -> 
  2 - a^(-6) + a^(-4) + a^(-2) - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - 10*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 20895] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 20896] -> 
  4 - 5*a^2 + a^4 + a^6 + 5*z^2 - 9*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 
   3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 20897] -> 
  -1 + 2/a^2 - a^2 + a^6 - z^2 + z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 20898] -> 2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^4 + z^2/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 20899] -> 
  4 + 3/a^4 - 6/a^2 + 8*z^2 - z^2/a^8 + z^2/a^6 + (9*z^2)/a^4 - 
   (20*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - 
   (25*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 20900] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   5*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20901] -> a^(-4) - a^2 + a^6 - z^2 - z^2/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + z^4/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 20902] -> 2/a^4 - 2/a^2 + a^4 - 2*z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 20903] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - 
   z^2/a^4 + (2*z^4)/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + (16*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + (11*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20904] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + z^4/a^12 - z^4/a^10 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20905] -> -2 - 2/a^8 + 5/a^6 - 5/a^4 + 4/a^2 + a^2 - 
   7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (19*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20906] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 2*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 20907] -> 
  -2/a^6 + 3/a^4 + z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20908] -> 2 - a^(-4) + 2*a^2 - 2*a^4 - z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 9*z^6 - z^6/a^4 + (10*z^6)/a^2 - 
   8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 20909] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 
   4*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20910] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + (8*z^2)/a^12 - (30*z^2)/a^10 + 
   (28*z^2)/a^8 - z^2/a^6 + (11*z^4)/a^12 - (49*z^4)/a^10 + (59*z^4)/a^8 - 
   (13*z^4)/a^6 + (6*z^6)/a^12 - (40*z^6)/a^10 + (59*z^6)/a^8 - 
   (16*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + (32*z^8)/a^8 - (7*z^8)/a^6 - 
   (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 20911] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + 
   (4*z^2)/a^12 - (14*z^2)/a^10 + (9*z^2)/a^8 + (5*z^2)/a^6 + (4*z^4)/a^12 - 
   (17*z^4)/a^10 + (13*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20912] -> a^(-12) - 2/a^10 + 2/a^4 + (3*z^2)/a^12 - 
   (9*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - 
   (12*z^4)/a^10 + (6*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 20913] -> a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20914] -> 
  a^(-12) - 3/a^10 + 3/a^8 - 2/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^12 - 
   (7*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (6*z^4)/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 20915] -> 
  2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (15*z^2)/a^6 - (8*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (6*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20916] -> 
  2/a^6 - 5/a^4 + 4/a^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20917] -> 
  1 - a^(-10) + 2/a^6 - a^(-2) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 20918] -> 2*a^6 - a^12 + a^4*z^2 + 4*a^6*z^2 + 
   3*a^8*z^2 + 3*a^10*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 
   5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 20919] -> -2 + a^(-2) + 3*a^2 - 4*a^4 + 6*a^6 - 
   3*a^8 - 6*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20920] -> 
  a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^6 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20921] -> 
  2 + a^(-10) - 4/a^8 + 7/a^6 - 5/a^4 + 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (9*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (6*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20922] -> 
  -2 + 2/a^2 - a^2 + 2*a^4 + a^6 - a^8 - 4*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20923] -> 1 - 2/a^10 + 2/a^8 + a^(-6) - a^(-2) + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 20924] -> 
  1 - a^(-10) + 2/a^6 - a^(-2) + z^2 + z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20925] -> a^6 + 2*a^8 - a^10 - a^12 + a^4*z^2 + 
   3*a^6*z^2 + 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 
   2*a^6*z^4 + a^8*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 20926] -> 2*a^6 - a^12 + 2*a^4*z^2 + 3*a^6*z^2 + 
   3*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + 
   a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 20927] -> 1 + a^(-4) - a^(-2) - a^2 + 
   2*a^6 - a^8 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 20928] -> -a^(-8) + 2/a^6 - a^(-4) + a^(-2) - a^2 + 
   a^4 + 2*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 20929] -> 
  -6 + 2/a^6 - 4/a^4 + 5/a^2 + 5*a^2 - a^4 - 19*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (17*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (22*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 20930] -> 
  -4 + 2/a^2 + 3*a^2 + a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20931] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 2*a^4 + 
   2*a^6 - a^8 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 20932] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20933] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 3*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 20934] -> 
  -3 + a^(-4) + 6*a^2 - 4*a^4 + a^8 - 10*z^2 + 13*a^2*z^2 - 5*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + (4*z^4)/a^2 + 12*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 20935] -> 
  -2 + a^(-6) - 2/a^4 + 2/a^2 + 3*a^2 - a^4 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20936] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20937] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 3*z^2 + 7*a^2*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20938] -> -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 
   7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 20939] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (6*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20940] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 4*z^2 - (2*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^2 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 20941] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + (6*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 20942] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 
   2*z^2 - (3*z^2)/a^4 - 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 20943] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (6*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20944] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 12*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 9*z^4 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 20945] -> -1 + a^(-2) + a^2 - 5*z^2 + (3*z^2)/a^2 + 
   a^6*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 20946] -> 
  1 - 3*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 + 3*a^2*z^2 - 14*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 21*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 20947] -> 
  -4 + a^(-2) + 8*a^2 - 6*a^4 + 3*a^6 - a^8 - 11*z^2 + (2*z^2)/a^2 + 
   21*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   25*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20948] -> -12 - 5/a^4 + 13/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 + z^2/a^6 - (11*z^2)/a^4 + (30*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   25*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (29*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20949] -> 2 - 2/a^4 + 3/a^2 - 4*a^2 + 3*a^4 - a^6 + 
   5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   4*z^4 + z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 20950] -> 1 - a^(-4) + 4*a^2 - 3*a^4 + 3*z^2 - 
   z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 2*z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 20951] -> 2 - 2/a^4 + 2/a^2 - a^4 + 
   6*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 20952] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   9*z^2 + z^2/a^6 + (3*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 20953] -> 
  1 - a^(-2) + 3*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - z^2/a^2 + 11*a^2*z^2 - 
   14*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20954] -> 5 - 2/a^2 - 3*a^2 + a^4 + a^6 - a^8 + 
   7*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 20955] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   16*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20956] -> 3 - 2/a^4 + a^(-2) + a^2 - 2*a^4 + 5*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + (3*z^4)/a^4 - 
   z^4/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 20957] -> -2 - 4/a^4 + 7/a^2 + a^2 - a^4 + 
   z^2 - (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 20958] -> 
  1 - a^(-4) + 4*a^2 - 3*a^4 - z^2 - z^2/a^4 + z^2/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 20959] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 4*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 20960] -> 
  3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 + 8*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 20961] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   17*z^2 - z^2/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   22*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 20962] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 + z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 20963] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 - z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 20964] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 20965] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20966] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20967] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 - 
   3*a^10*z^2 + 2*a^12*z^2 - 4*a^4*z^4 + 17*a^6*z^4 - 8*a^8*z^4 - 
   6*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[15, Alternating, 20968] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 
   2*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 20969] -> 3*a^6 + 3*a^8 - 9*a^10 + 4*a^12 + 
   5*a^6*z^2 + 21*a^8*z^2 - 37*a^10*z^2 + 14*a^12*z^2 - 8*a^6*z^4 + 
   48*a^8*z^4 - 60*a^10*z^4 + 16*a^12*z^4 - 15*a^6*z^6 + 53*a^8*z^6 - 
   46*a^10*z^6 + 7*a^12*z^6 - 7*a^6*z^8 + 31*a^8*z^8 - 16*a^10*z^8 + 
   a^12*z^8 - a^6*z^10 + 9*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, 
 Knot[15, Alternating, 20970] -> 7*a^6 - 8*a^8 + a^10 + a^12 - a^4*z^2 + 
   18*a^6*z^2 - 14*a^8*z^2 - 7*a^10*z^2 + 6*a^12*z^2 - 6*a^4*z^4 + 
   18*a^6*z^4 - 6*a^8*z^4 - 17*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   13*a^6*z^6 + 5*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 20971] -> a^4 + 2*a^6 + a^8 - 6*a^10 + 3*a^12 + 
   2*a^4*z^2 + 6*a^6*z^2 + 3*a^8*z^2 - 16*a^10*z^2 + 7*a^12*z^2 - 3*a^4*z^4 + 
   7*a^6*z^4 + 6*a^8*z^4 - 20*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 
   8*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 20972] -> 
  2*a^4 + 2*a^6 - 4*a^8 + a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 - 
   3*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 - 
   6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20973] -> 2*a^4 + a^6 - a^8 - 3*a^10 + 2*a^12 + 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 10*a^10*z^2 + 5*a^12*z^2 - 3*a^4*z^4 + 
   8*a^6*z^4 - 14*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 20974] -> 
  4*a^4 - 3*a^6 - a^10 + a^12 + 5*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 - 
   2*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 20975] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20976] -> 2*a^4 + a^6 - a^8 - 3*a^10 + 2*a^12 + 
   5*a^4*z^2 - a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 20977] -> 4*a^4 - 3*a^6 - a^10 + a^12 + a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 20978] -> a^2 + a^4 - a^6 + 2*a^8 - 
   4*a^10 + 2*a^12 + a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 
   8*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + 4*a^8*z^4 - 
   7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + a^6*z^6 + 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 20979] -> 
  2*a^2 - a^4 + a^6 - a^8 - a^10 + a^12 + 2*a^2*z^2 - a^4*z^2 - a^8*z^2 - 
   2*a^10*z^2 + a^12*z^2 - z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 20980] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 20981] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + a^4*z^2 - 
   z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 20982] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   12*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 20983] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20984] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (12*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 20985] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 20986] -> 2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 16*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20987] -> -5 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 + 
   3*a^2 - 15*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 20988] -> -1 + a^(-4) + a^4 - z^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 20989] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 20990] -> -2 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + 
   2*a^2 - 9*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 20991] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 20992] -> 
  -6 + 3/a^2 + 6*a^2 - 4*a^4 + 3*a^6 - a^8 - 17*z^2 + (5*z^2)/a^2 + 
   17*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 20*z^4 + (5*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 20993] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   8*z^2 + (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 20994] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 20995] -> 
  1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 + 4*a^2*z^2 - 13*a^4*z^2 + 
   12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 15*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 20996] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 20997] -> 
  2 - a^(-10) + a^(-8) + 2/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^8 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^6 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 20998] -> -1 - a^(-10) + 2/a^8 - 2/a^6 + 
   2/a^4 + a^2 - 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - z^4/a^6 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 20999] -> 
  2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21000] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^2 + a^2 - 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 21001] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 - 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21002] -> 1 + a^(-2) - 3*a^2 - a^4 + 6*a^6 - 3*a^8 - 
   2*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 - 10*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 6*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21003] -> 
  -2 + 2/a^2 - a^2 + 2*a^4 + a^6 - a^8 - 3*z^2 + z^2/a^4 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21004] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^4 - a^6 - 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21005] -> 2*a^2 - 6*a^4 + 11*a^6 - 7*a^8 + a^10 + 
   7*a^2*z^2 - 21*a^4*z^2 + 27*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 
   27*a^4*z^4 + 21*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 21006] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   14*z^2 + z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 11*z^4 + z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 21007] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21008] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21009] -> 
  -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (7*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21010] -> 4*a^4 - 8*a^6 + 9*a^8 - 4*a^10 + 
   12*a^4*z^2 - 32*a^6*z^2 + 40*a^8*z^2 - 14*a^10*z^2 + 19*a^4*z^4 - 
   60*a^6*z^4 + 64*a^8*z^4 - 16*a^10*z^4 + 17*a^4*z^6 - 59*a^6*z^6 + 
   47*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 21011] -> a^2 + a^4 - 4*a^6 + 6*a^8 - 3*a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 18*a^8*z^2 - 7*a^10*z^2 + 5*a^2*z^4 - 
   8*a^4*z^4 - 9*a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21012] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 3*a^2*z^2 - 5*a^4*z^2 + 11*a^8*z^2 - 
   5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 21013] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 + z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21014] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 21015] -> 2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + z^2 - 
   2*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 21016] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21017] -> 
  a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21018] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21019] -> 
  -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21020] -> 1 - a^2 + 2*a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 
   z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 21021] -> -1 - 2/a^8 + 6/a^6 - 6/a^4 + 3/a^2 + a^2 - 
   8*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 21022] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21023] -> 
  -6 - a^(-4) + 5/a^2 + 4*a^2 - 2*a^4 + a^6 - 20*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21024] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + 
   a^10 - z^2 + 9*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 9*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 18*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 21025] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21026] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21027] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - 
   (4*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21028] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (13*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (16*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21029] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - (12*z^2)/a^6 - 
   (3*z^2)/a^4 + 3*z^4 - z^4/a^10 + (12*z^4)/a^8 - (16*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21030] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (14*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (12*z^4)/a^6 + (15*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 21031] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 - (3*z^4)/a^8 + (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 21032] -> 6 - 3/a^2 - 3*a^4 + a^6 + 18*z^2 - 
   (7*z^2)/a^2 - a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 + 23*z^4 - (5*z^4)/a^2 - 
   7*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 + 12*z^6 - z^6/a^2 - 11*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 21033] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 15*z^2 - (5*z^2)/a^6 + (17*z^2)/a^4 - 
   (7*z^2)/a^2 + 9*a^2*z^2 - 25*z^4 - (4*z^4)/a^6 + (21*z^4)/a^4 - 
   (13*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (13*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 21034] -> 
  4 - a^(-4) - a^2 - 2*a^4 + a^6 + 9*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   5*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   10*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21035] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - 
   (4*z^2)/a^10 + (15*z^2)/a^8 - (9*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (14*z^4)/a^6 - (25*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (13*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21036] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 3/a^4 + 
   2/a^2 + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (11*z^2)/a^4 + z^2/a^2 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21037] -> 
  5 + a^(-4) - 5/a^2 + 3*a^2 - 3*a^4 + 11*z^2 + (4*z^2)/a^4 - (16*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 15*z^4 + (4*z^4)/a^4 - (20*z^4)/a^2 + 
   26*a^2*z^4 - 12*a^4*z^4 + 13*z^6 + z^6/a^4 - (11*z^6)/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 21038] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (17*z^2)/a^6 + (8*z^2)/a^4 + (16*z^2)/a^2 - 12*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (13*z^4)/a^4 + (25*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21039] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21040] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21041] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 21042] -> 
  -4 - 2/a^6 + 4/a^4 + a^(-2) + a^2 + a^4 - 14*z^2 - (3*z^2)/a^6 + 
   (9*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 17*z^4 - z^4/a^6 + 
   (8*z^4)/a^4 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 21043] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 9*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 13*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21044] -> -1 - a^(-6) + 2/a^4 + a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (9*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21045] -> 
  1 - a^(-12) + a^(-10) + 3/a^8 - 4/a^6 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 + (3*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (10*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 21046] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21047] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 3*z^2 - 
   z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 21048] -> 
  2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + a^(-2) + 5*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 - (16*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21049] -> 
  3/a^12 - 9/a^10 + 5/a^8 + 3/a^6 - a^(-4) + (3*z^2)/a^12 - (18*z^2)/a^10 + 
   (17*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (18*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21050] -> 
  7 + 2/a^4 - 8/a^2 + 4*a^2 - 4*a^4 + 13*z^2 + (5*z^2)/a^4 - (20*z^2)/a^2 + 
   20*a^2*z^2 - 12*a^4*z^2 + 17*z^4 + (4*z^4)/a^4 - (22*z^4)/a^2 + 
   29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (11*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 21051] -> -1 - a^(-6) + 2/a^4 + a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (9*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21052] -> 
  -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (11*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^10 + (22*z^4)/a^8 - 
   (16*z^4)/a^6 - (28*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (14*z^6)/a^6 - (20*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21053] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 2/a^4 - 
   a^(-2) + a^2 - z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 21054] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   6*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (9*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21055] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21056] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2 + z^2/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 21057] -> -1 - a^(-8) + a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - 6*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 + 
   5*a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (13*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - z^6/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 21058] -> 
  2 - a^(-6) + a^(-4) - a^2 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 21059] -> -3 - a^(-8) + a^(-6) + 2/a^4 + a^2 + a^4 - 
   8*z^2 - z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^4*z^2 - 
   7*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 21060] -> 
  2 - 2/a^4 + 3/a^2 - 2*a^2 - a^4 + a^6 + 6*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   8*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   10*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21061] -> -2 - 3/a^6 + 6/a^4 - a^(-2) + a^4 - 6*z^2 - 
   (4*z^2)/a^6 + (17*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   11*z^4 - z^4/a^6 + (14*z^4)/a^4 - (15*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (10*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   (2*z^8)/a^2 - a^2*z^8, Knot[15, Alternating, 21062] -> 
  -1 - a^(-8) + 4/a^4 - 2/a^2 + a^4 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 21063] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 21064] -> 
  3/a^12 - 7/a^10 + a^(-8) + 5/a^6 - a^(-4) + (7*z^2)/a^12 - (21*z^2)/a^10 + 
   (5*z^2)/a^8 + (21*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^12 - (24*z^4)/a^10 + 
   (11*z^4)/a^8 + (28*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (12*z^6)/a^8 + (19*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21065] -> 2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + 
   (3*z^2)/a^12 - (8*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21066] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + (10*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21067] -> 6 - 2/a^4 + a^(-2) - 4*a^2 - a^4 + a^6 + 
   10*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 9*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 
   5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 10*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21068] -> -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 
   3/a^10 + 2/a^8 + (5*z^2)/a^16 - (15*z^2)/a^14 + (12*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + (7*z^4)/a^12 + (16*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 21069] -> -2 - a^(-8) + 2/a^6 - a^(-4) + 
   2/a^2 + a^4 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21070] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   5*z^4 + (2*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 21071] -> 
  a^(-12) - 2/a^10 + a^(-6) + a^(-2) - z^2 + z^2/a^12 - (3*z^2)/a^10 + 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^10 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 21072] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21073] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21074] -> -a^(-8) + a^(-6) + a^(-4) - a^2 + a^4 + 
   z^2 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21075] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21076] -> 1 - a^(-6) + a^(-4) + a^(-2) - a^2 - a^4 + 
   a^6 + z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 21077] -> -2/a^6 + 3/a^4 + 2*z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (8*z^2)/a^4 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21078] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 3*z^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21079] -> 
  -3 + 3/a^8 - 9/a^6 + 5/a^4 + 5/a^2 - 9*z^2 + (6*z^2)/a^8 - (21*z^2)/a^6 + 
   (12*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (14*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21080] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21081] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21082] -> 
  1 - 2/a^8 + 4/a^6 - a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21083] -> -4 - 2/a^4 + 5/a^2 + 2*a^2 + a^4 - a^6 - 
   5*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + 2*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21084] -> -4 + 4/a^8 - 12/a^6 + 7/a^4 + 6/a^2 - 
   12*z^2 + (8*z^2)/a^8 - (28*z^2)/a^6 + (16*z^2)/a^4 + (21*z^2)/a^2 - 
   13*z^4 + (5*z^4)/a^8 - (27*z^4)/a^6 + (18*z^4)/a^4 + (29*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (12*z^6)/a^6 + (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21085] -> -1 + 2/a^8 - 5/a^6 + 6/a^2 - a^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 - z^2/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21086] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 3*z^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21087] -> 
  -3 - 4/a^6 + 9/a^4 - 3/a^2 + a^2 + a^4 - 7*z^2 - (4*z^2)/a^6 + 
   (20*z^2)/a^4 - (13*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 12*z^4 - z^4/a^6 + 
   (14*z^4)/a^4 - (17*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + 
   (3*z^6)/a^4 - (10*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - (2*z^8)/a^2 - 
   a^2*z^8, Knot[15, Alternating, 21088] -> -2/a^8 + 3/a^6 + 2/a^4 - 3/a^2 + 
   a^4 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + 2*a^4*z^2 - 
   6*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 21089] -> -1 + 2/a^10 - 5/a^8 + a^(-6) + 3/a^4 + 
   a^(-2) - 4*z^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + (9*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (13*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 21090] -> -1 + a^(-10) - 2/a^8 - a^(-6) + 2/a^4 + 
   2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 21091] -> 8 - a^(-4) - 2/a^2 - 3*a^2 - 2*a^4 + a^6 + 
   16*z^2 - (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   11*z^4 - z^4/a^4 + (3*z^4)/a^2 - 8*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 + 
   (2*z^6)/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21092] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21093] -> -2 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + (3*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21094] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21095] -> 
  2 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21096] -> 
  -2/a^18 + 9/a^16 - 11/a^14 - a^(-12) + 5/a^10 + a^(-8) - z^2/a^18 + 
   (13*z^2)/a^16 - (30*z^2)/a^14 + (5*z^2)/a^12 + (18*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^4)/a^16 - (25*z^4)/a^14 + (16*z^4)/a^12 + 
   (25*z^4)/a^10 + (8*z^4)/a^8 - (6*z^6)/a^14 + (13*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 21097] -> -a^(-18) + 4/a^16 - 3/a^14 - 4/a^12 + 
   2/a^10 + 3/a^8 + (4*z^2)/a^16 - (9*z^2)/a^14 - (6*z^2)/a^12 + 
   (10*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (6*z^4)/a^14 + z^4/a^12 + 
   (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (3*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 21098] -> 
  9 + 3/a^4 - 11/a^2 + 5*a^2 - 5*a^4 + 19*z^2 + (7*z^2)/a^4 - (27*z^2)/a^2 + 
   21*a^2*z^2 - 13*a^4*z^2 + 20*z^4 + (5*z^4)/a^4 - (26*z^4)/a^2 + 
   30*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (12*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 21099] -> 6 + a^(-6) - 2/a^4 - 3/a^2 + 2*a^2 - 3*a^4 + 
   14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   15*z^4 + z^4/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 
   8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 21100] -> -a^(-8) + a^(-6) + a^(-4) - a^2 + 
   a^4 + z^2 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 21101] -> 3 + 2/a^6 - 7/a^4 + 5/a^2 - a^2 - 
   a^4 + 10*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 3*a^4*z^2 + 
   13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 
   8*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 21102] -> 
  -3 + 3/a^8 - 9/a^6 + 5/a^4 + 5/a^2 - 9*z^2 + (6*z^2)/a^8 - (21*z^2)/a^6 + 
   (12*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (14*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21103] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - a^2 + a^4 + (3*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 - (4*z^4)/a^4 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 21104] -> 
  -a^(-10) + a^(-8) + a^(-6) + a^(-4) - 2/a^2 + a^4 - 2*z^2 + (3*z^2)/a^8 + 
   z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4, Knot[15, Alternating, 21105] -> 
  -4 + 4/a^8 - 12/a^6 + 7/a^4 + 6/a^2 - 12*z^2 + (8*z^2)/a^8 - (28*z^2)/a^6 + 
   (16*z^2)/a^4 + (21*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - (27*z^4)/a^6 + 
   (18*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21106] -> 
  -1 + 2/a^8 - 5/a^6 + 6/a^2 - a^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - z^2/a^4 + 
   (14*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (7*z^4)/a^6 + (14*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 21107] -> 
  -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 3*a^4*z^2 + 13*a^6*z^2 + 4*a^8*z^2 - 
   9*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 14*a^6*z^4 + 7*a^8*z^4 - 
   8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 21108] -> 
  -a^4 + 8*a^6 - 8*a^8 + 2*a^10 + 2*a^2*z^2 - 8*a^4*z^2 + 24*a^6*z^2 - 
   16*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 16*a^4*z^4 + 26*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 21109] -> -a^2 + 4*a^4 - 3*a^8 + a^10 + z^2 - 
   3*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21110] -> 
  -a^(-4) + 2/a^2 + z^2/a^6 - z^2/a^2 + a^2*z^2 - 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 21111] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (9*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21112] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21113] -> 
  2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21114] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21115] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 21116] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21117] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 8*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21118] -> 
  4 - 2/a^2 - a^4 + 5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + (5*z^4)/a^4 - (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21119] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21120] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 5*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 21121] -> 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21122] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 21123] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21124] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21125] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 14*a^2*z^2 - 
   13*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^2 + 21*a^2*z^4 - 
   19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21126] -> -a^4 + 6*a^6 - 4*a^8 - 3*a^4*z^2 + 
   15*a^6*z^2 - 2*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 
   15*a^6*z^4 + 3*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 
   4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 21127] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 
   6*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   15*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 21128] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + 
   a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 21129] -> -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21130] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 - 
   a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21131] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^4 + z^2/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 21132] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^4 + z^2/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 21133] -> 
  3 - a^(-2) - a^2 + 12*z^2 - z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 21134] -> 
  2*a^2 - 5*a^4 + 6*a^6 - 2*a^10 + 7*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 + 
   12*a^8*z^2 - 7*a^10*z^2 + 9*a^2*z^4 - 21*a^4*z^4 + 2*a^6*z^4 + 
   20*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 7*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21135] -> 
  -13 + 2/a^6 - 6/a^4 + 11/a^2 + 9*a^2 - 2*a^4 - 33*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (27*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 33*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (29*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21136] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   z^2/a^10 - (11*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (5*z^4)/a^10 - (17*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21137] -> 
  a^2 - a^4 - a^6 + 6*a^8 - 4*a^10 + 5*a^2*z^2 - 8*a^4*z^2 + 19*a^8*z^2 - 
   8*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 4*a^6*z^4 + 22*a^8*z^4 - 
   5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 21138] -> 2*a^2 - 5*a^4 + 6*a^6 - 2*a^10 + z^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 
   11*a^4*z^4 + 5*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 21139] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 
   15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21140] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^8 - 2*a^10 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 21141] -> 
  2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + a^(-2) - z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (21*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (22*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 21142] -> -3/a^14 + 9/a^12 - 9/a^10 + 4/a^6 - 
   (7*z^2)/a^14 + (31*z^2)/a^12 - (32*z^2)/a^10 - (2*z^2)/a^8 + 
   (16*z^2)/a^6 - (5*z^4)/a^14 + (37*z^4)/a^12 - (48*z^4)/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (37*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 21143] -> 
  -2/a^14 + 5/a^12 - 2/a^10 - 6/a^8 + 6/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (5*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (8*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21144] -> 
  -2/a^14 + 6/a^12 - 7/a^10 + 3/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (15*z^2)/a^12 - (14*z^2)/a^10 + z^2/a^8 - z^2/a^6 + (7*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21145] -> -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (5*z^2)/a^12 + z^2/a^10 - (7*z^2)/a^8 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21146] -> -4 + 2/a^2 + 5*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 
   8*z^2 + z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 7*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 21147] -> -14 + a^(-6) - 3/a^4 + 8/a^2 + 13*a^2 - 
   4*a^4 - 37*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 27*a^2*z^2 - 
   6*a^4*z^2 - 38*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21148] -> 
  -a^(-14) + a^(-12) + 5/a^10 - 12/a^8 + 8/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 + (8*z^2)/a^10 - (27*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - (29*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21149] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^8 - 2*a^10 + 3*z^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 21150] -> 
  -2/a^12 + 7/a^10 - 11/a^8 + 11/a^6 - 8/a^4 + 4/a^2 - (3*z^2)/a^12 + 
   (17*z^2)/a^10 - (28*z^2)/a^8 + (27*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (31*z^4)/a^8 + (27*z^4)/a^6 - (22*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (16*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 21151] -> -a^(-14) + a^(-12) + 5/a^10 - 12/a^8 + 
   8/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 + (8*z^2)/a^10 - (27*z^2)/a^8 + 
   (17*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - 
   (29*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21152] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21153] -> 2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + 
   a^(-2) - z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (21*z^2)/a^6 - (20*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - 
   (22*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 21154] -> -6 + 2/a^2 + 9*a^2 - 7*a^4 + 
   5*a^6 - 2*a^8 - 17*z^2 + (5*z^2)/a^2 + 25*a^2*z^2 - 23*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 28*a^2*z^4 - 28*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21155] -> -14 + a^(-6) - 3/a^4 + 8/a^2 + 13*a^2 - 
   4*a^4 - 37*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 27*a^2*z^2 - 
   6*a^4*z^2 - 38*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21156] -> 
  -7 + 2/a^2 + 13*a^2 - 14*a^4 + 11*a^6 - 4*a^8 - 19*z^2 + (5*z^2)/a^2 + 
   33*a^2*z^2 - 34*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 20*z^4 + (4*z^4)/a^2 + 
   33*a^2*z^4 - 34*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   18*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21157] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 - 7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + (16*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21158] -> 1 + a^(-4) - 2/a^2 + 3*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 21159] -> 
  2 - a^(-10) + a^(-8) + 2/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^8 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^6 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 21160] -> -5 + a^(-2) + 12*a^2 - 12*a^4 + 
   7*a^6 - 2*a^8 - 19*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 26*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 27*z^4 + (7*z^4)/a^2 + 34*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 21161] -> 
  -2 + a^(-2) + 2*a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 - 7*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 21162] -> 2*a^2 - 4*a^4 + 4*a^6 + a^8 - 
   2*a^10 + 5*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 
   6*a^2*z^4 - 14*a^4*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 21163] -> a^2 - a^4 + 4*a^8 - 3*a^10 + 5*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 15*a^4*z^4 - 
   2*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 6*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21164] -> 
  2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - a^10 + 7*a^2*z^2 - 18*a^4*z^2 + 
   18*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 + 9*a^2*z^4 - 24*a^4*z^4 + 
   11*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 
   2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21165] -> 
  1 - 2*a^2 + 2*a^4 + a^6 - a^10 + 3*z^2 - 5*a^2*z^2 + 7*a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 21166] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21167] -> -2/a^14 + 5/a^12 - 3/a^10 - 4/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (11*z^4)/a^10 - 
   (19*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21168] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 - z^2/a^14 + (5*z^2)/a^12 - (5*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21169] -> -9 - a^(-4) + 5/a^2 + 9*a^2 - 3*a^4 - 
   23*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   25*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 21170] -> 
  -4 + a^(-2) + 9*a^2 - 8*a^4 + 4*a^6 - a^8 - 14*z^2 + (3*z^2)/a^2 + 
   25*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   27*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21171] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 
   5/a^4 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (11*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21172] -> -5 + 2/a^2 + 7*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 
   15*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21173] -> 
  -11 + 2/a^6 - 6/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 26*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (23*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (24*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21174] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 21175] -> 
  1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 3*z^2 - 4*a^2*z^2 - 5*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 8*a^4*z^4 + 
   10*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 21176] -> 6*a^2 - 12*a^4 + 12*a^6 - 7*a^8 + 2*a^10 - 
   2*z^2 + 13*a^2*z^2 - 28*a^4*z^2 + 26*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 27*a^4*z^4 + 24*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 21177] -> 
  3 - 4*a^2 + 2*a^4 + a^6 - 2*a^8 + a^10 + 5*z^2 - z^2/a^2 - 10*a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21178] -> 
  2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 + 
   7*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 21179] -> -2 + a^(-2) + 4*a^2 - 6*a^4 + 7*a^6 - 
   3*a^8 - 6*z^2 + z^2/a^2 + 14*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21180] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21181] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 
   5*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 + 7*a^8*z^2 - 5*a^10*z^2 + 8*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 21182] -> 2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + z^2 + 
   a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 21183] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21184] -> 
  -4 + a^(-2) + 8*a^2 - 6*a^4 + 3*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   18*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21185] -> -3/a^10 + 8/a^8 - 8/a^6 + 
   3/a^4 + a^(-2) - (5*z^2)/a^10 + (24*z^2)/a^8 - (24*z^2)/a^6 + 
   (2*z^2)/a^4 + (6*z^2)/a^2 - (7*z^4)/a^10 + (23*z^4)/a^8 - (21*z^4)/a^6 - 
   (11*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 - (2*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 21186] -> 
  -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21187] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21188] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21189] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21190] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21191] -> 
  -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^8 - 
   z^2/a^6 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21192] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 14*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 - z^6/a^6 + (8*z^6)/a^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21193] -> -a^(-4) + 2/a^2 - z^2/a^10 + z^2/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21194] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - (3*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21195] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - z^2/a^10 + z^2/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21196] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   6*z^4 - z^4/a^8 + (2*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 21197] -> 
  2/a^12 - 4/a^10 - 2/a^8 + 6/a^6 - a^(-4) + (3*z^2)/a^12 - (7*z^2)/a^10 - 
   (8*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 - 
   (5*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (3*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21198] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   z^2/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21199] -> 
  -1 + 3*a^4 + 2*a^6 - 3*a^8 - 3*z^2 + 4*a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 - 
   7*a^8*z^2 + 2*z^4 + a^2*z^4 - 3*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 
   6*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 21200] -> -2 + 3*a^2 + a^4 + a^6 - 2*a^8 - z^2/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + z^4/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21201] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   6*z^4 - z^4/a^8 + (2*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 21202] -> 
  -3 + 2/a^8 - 6/a^6 + 2/a^4 + 6/a^2 - 9*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (20*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 21203] -> -3 + 6*a^2 - a^4 - a^8 - 4*z^2 + 
   9*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21204] -> -a^(-2) + 4*a^2 - 2*a^4 + a^6 - a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4/a^4 + a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 21205] -> -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - 3*z^2 + 
   14*a^2*z^2 - 10*a^4*z^2 - 7*a^6*z^2 + 6*a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 
   14*a^4*z^4 - 17*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21206] -> 
  -1 + 4*a^2 + a^4 - 6*a^6 + 3*a^8 - 3*z^2 + 11*a^2*z^2 - 18*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - 25*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 21207] -> -2 + 9*a^2 - 7*a^4 - a^6 + 2*a^8 - 5*z^2 + 
   21*a^2*z^2 - 17*a^4*z^2 - 8*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   17*a^4*z^4 - 18*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21208] -> 
  3 - a^(-2) + a^2 - 2*a^4 - 2*a^6 + 2*a^8 + 6*z^2 - (2*z^2)/a^2 - 
   5*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 - 8*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 21209] -> 
  4 + a^(-6) - 5/a^4 + 4/a^2 - 3*a^2 + 10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21210] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (24*z^2)/a^6 + (26*z^2)/a^4 + (5*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (37*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21211] -> 2 + a^(-8) - 5/a^6 + 6/a^4 - 2/a^2 - a^2 + 
   3*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (9*z^4)/a^6 + (11*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 21212] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 26*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (25*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21213] -> 
  -8 - a^(-4) + 6/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21214] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - 
   a^6 - 4*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 - 10*a^2*z^6 - a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 21215] -> -8 - a^(-4) + 5/a^2 + 8*a^2 - 
   4*a^4 + a^6 - 21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 19*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21216] -> -2 + 6*a^2 - 6*a^4 + 7*a^6 - 5*a^8 + a^10 - 
   5*z^2 + 15*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 + 9*a^2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21217] -> 
  3 - a^(-2) - 4*a^2 + 6*a^4 - 3*a^6 + 6*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 
   12*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 5*a^2*z^4 + 
   8*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 21218] -> 3 - a^(-2) + 2*a^2 - 6*a^4 + 3*a^6 + 6*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 11*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 21219] -> -8 - 2/a^4 + 7/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21220] -> 
  4 - a^(-6) + 3/a^4 - 3/a^2 - 3*a^2 + a^6 + 6*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21221] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 21*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 26*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21222] -> -3 - a^(-4) + 5/a^2 - 3*a^2 + 3*a^4 - 
   10*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 21223] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - 
   (11*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - 
   (9*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21224] -> -a^(-6) + 4/a^4 - 3/a^2 + a^4 - 4*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 21225] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21226] -> 
  6 - 3/a^2 - a^2 - a^4 + 13*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 10*z^4 + (6*z^4)/a^4 - (16*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21227] -> 
  -1 + 7*a^2 - 8*a^4 + 3*a^6 - 2*z^2 + 14*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 + 
   2*a^8*z^2 - z^4/a^2 + 11*a^2*z^4 - 20*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 21228] -> 3*a^4 - 2*a^6 - 4*z^2 + z^2/a^2 + 
   12*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 18*a^4*z^4 - 
   7*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 21229] -> -a^2 + 5*a^4 - 3*a^6 - z^2 - 3*a^2*z^2 + 
   14*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + z^4/a^2 - a^2*z^4 + 18*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 21230] -> -4 + a^(-2) + 10*a^2 - 9*a^4 + 3*a^6 - 
   16*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 - 21*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 31*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21231] -> 
  a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 - 2*z^2 + (4*z^2)/a^8 - (24*z^2)/a^6 + 
   (38*z^2)/a^4 - (10*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (50*z^4)/a^4 - (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (35*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 21232] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2 + z^2/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + z^4/a^6 + (15*z^4)/a^4 - (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 21233] -> -a^(-14) + 4/a^12 - 6/a^10 + 
   2/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (17*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (19*z^4)/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21234] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (17*z^2)/a^10 + 
   (18*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (14*z^4)/a^10 + 
   (21*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (12*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21235] -> 
  1 - 2/a^10 + 5/a^8 - 4/a^6 + a^(-4) + 3*z^2 - (3*z^2)/a^10 + (17*z^2)/a^8 - 
   (15*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (15*z^4)/a^8 - 
   (21*z^4)/a^6 - (12*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (13*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21236] -> 1 - a^(-12) + a^(-10) + 3/a^8 - 5/a^6 + 
   2/a^4 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 + (3*z^2)/a^8 - (11*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (14*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 21237] -> a^(-12) - 3/a^10 + 2/a^6 + 2/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (4*z^4)/a^8 + (17*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21238] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 8*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 13*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 10*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 21239] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 - z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 10*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21240] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + (2*z^2)/a^6 + 4*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21241] -> 
  1 - z^2 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21242] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 18*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21243] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21244] -> 
  2 - a^(-4) + a^(-2) - 2*a^4 + a^6 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21245] -> -1 - a^(-8) + 2/a^6 + a^(-4) - 2/a^2 + 
   2*a^2 - 10*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21246] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21247] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 21248] -> 
  -3 - a^(-8) + 2/a^6 + a^(-2) + a^2 + a^4 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21249] -> 
  7 + a^(-4) - 6/a^2 + 2*a^2 - 3*a^4 + 28*z^2 + (4*z^2)/a^4 - (24*z^2)/a^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 47*z^4 + (4*z^4)/a^4 - (32*z^4)/a^2 + 
   14*a^2*z^4 - 12*a^4*z^4 + 37*z^6 + z^6/a^4 - (17*z^6)/a^2 + 13*a^2*z^6 - 
   6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 2*z^10 + 
   a^2*z^10, Knot[15, Alternating, 21250] -> 5 - 3/a^2 + a^2 - 2*a^4 + 
   18*z^2 + z^2/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   23*z^4 + z^4/a^6 - (7*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   13*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 21251] -> 
  -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 7*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + 
   (23*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (36*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 21252] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + a^(-8) + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (15*z^2)/a^12 - (18*z^2)/a^10 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (15*z^4)/a^12 - (20*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (13*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21253] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + a^(-6) + 2/a^4 - z^2/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 21254] -> 3/a^12 - 8/a^10 + 3/a^8 + 4/a^6 - 
   a^(-4) + (7*z^2)/a^12 - (27*z^2)/a^10 + (20*z^2)/a^8 + (11*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^4)/a^12 - (33*z^4)/a^10 + (38*z^4)/a^8 + (11*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + (32*z^6)/a^8 + (9*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 21255] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (3*z^2)/a^12 - (12*z^2)/a^10 + 
   (6*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (8*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21256] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 4*z^2 - (5*z^2)/a^6 + (19*z^2)/a^4 - 
   (15*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - (4*z^4)/a^6 + (26*z^4)/a^4 - 
   (29*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - (27*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 21257] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (18*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - 
   (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21258] -> 1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 21259] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (4*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 21260] -> 3/a^12 - 10/a^10 + 6/a^8 + 
   4/a^6 - 2/a^4 + (7*z^2)/a^12 - (32*z^2)/a^10 + (30*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^12 - (35*z^4)/a^10 + (46*z^4)/a^8 + 
   (13*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + (34*z^6)/a^8 + 
   (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 21261] -> 
  2/a^12 - 7/a^10 + 5/a^8 + 2/a^4 - a^(-2) + (3*z^2)/a^12 - (15*z^2)/a^10 + 
   (14*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (15*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21262] -> 
  -2 + 5*a^2 - 3*a^4 + 4*a^6 - 4*a^8 + a^10 - 2*z^2 - z^2/a^2 + 12*a^2*z^2 - 
   11*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   11*a^2*z^4 - 15*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 21263] -> a^(-12) - 2/a^10 - 3/a^8 + 5/a^6 + a^(-4) - 
   a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (15*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (4*z^4)/a^8 + 
   (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 21264] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (12*z^2)/a^8 - (13*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (16*z^4)/a^8 - (13*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21265] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21266] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21267] -> 
  -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 7*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (18*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (32*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 21268] -> 
  2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 3*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (7*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (10*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21269] -> -3 + a^(-2) + 4*a^2 - a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 21270] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 2*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (21*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (18*z^4)/a^4 + (3*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 + 
   (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (2*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 21271] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21272] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - (4*z^2)/a^10 + (17*z^2)/a^8 - 
   (22*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (23*z^4)/a^8 - 
   (29*z^4)/a^6 + (5*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (24*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 21273] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (10*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21274] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^2 - 2*a^4 + a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21275] -> 
  12 + 2/a^4 - 10/a^2 - 3*a^4 + 37*z^2 + (5*z^2)/a^4 - (30*z^2)/a^2 + 
   5*a^2*z^2 - 10*a^4*z^2 + 52*z^4 + (4*z^4)/a^4 - (34*z^4)/a^2 + 
   13*a^2*z^4 - 12*a^4*z^4 + 38*z^6 + z^6/a^4 - (17*z^6)/a^2 + 13*a^2*z^6 - 
   6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 2*z^10 + 
   a^2*z^10, Knot[15, Alternating, 21276] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (20*z^4)/a^6 + (22*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21277] -> -2 + 3/a^8 - 11/a^6 + 10/a^4 + a^(-2) - 
   7*z^2 + (6*z^2)/a^8 - (27*z^2)/a^6 + (28*z^2)/a^4 + (5*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (29*z^4)/a^6 + (37*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21278] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + 
   (18*z^4)/a^4 - (15*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (21*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 21279] -> 1 - a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + 
   a^4 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + (4*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21280] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21281] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21282] -> 
  3 + a^(-6) - 4/a^4 + 2/a^2 + a^2 - 2*a^4 + 15*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 22*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21283] -> 1 - a^(-12) + 2/a^10 + a^(-8) - 3/a^6 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21284] -> 
  -1 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + a^4 - 3*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21285] -> 1 - 2/a^4 + 3/a^2 - a^2 - z^2 - z^2/a^6 + 
   (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21286] -> 
  1 + a^(-6) - 5/a^4 + 5/a^2 - a^4 + 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21287] -> 1 - a^(-12) + 4/a^10 - 5/a^8 + a^(-6) + 
   2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21288] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + 
   z^4/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21289] -> -3 + 4/a^8 - 14/a^6 + 12/a^4 + 2/a^2 - 
   9*z^2 + (8*z^2)/a^8 - (36*z^2)/a^6 + (37*z^2)/a^4 + (6*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^8 - (37*z^4)/a^6 + (49*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (35*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21290] -> -1 + 2/a^10 - 6/a^8 + 3/a^6 + 2/a^4 + 
   a^(-2) - 3*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^6 + 
   (11*z^2)/a^4 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + 
   (17*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + (12*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 21291] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (2*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21292] -> 
  -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - (5*z^2)/a^10 + (24*z^2)/a^8 - 
   (27*z^2)/a^6 + (7*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (37*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 21293] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^6 - (18*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 - (21*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 21294] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 21295] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 21296] -> 
  -2 + 2/a^10 - 8/a^8 + 11/a^6 - 9/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (26*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (26*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 21297] -> 3 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   3/a^2 - a^2 + 6*z^2 + z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21298] -> 
  -1 + 3*a^2 - 4*a^4 + 9*a^6 - 8*a^8 + 2*a^10 - 3*z^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 24*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   17*a^4*z^4 + 26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   12*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 21299] -> 2 + a^(-10) - 4/a^8 + 6/a^6 - 
   5/a^4 + 2/a^2 - a^2 + 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21300] -> 
  -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - a^2*z^2 - 3*a^4*z^2 + 17*a^6*z^2 + 
   2*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 17*a^6*z^4 + 
   6*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 
   5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 21301] -> -7 - a^(-4) + 4/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   19*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 21302] -> 
  -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 10*z^2 + z^2/a^2 + 26*a^2*z^2 - 
   25*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 29*a^2*z^4 - 
   24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21303] -> -a^(-14) + 6/a^12 - 11/a^10 + 5/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (18*z^2)/a^12 - (29*z^2)/a^10 + (13*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (36*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (28*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 21304] -> 
  -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 11*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (18*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21305] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 5/a^8 + a^(-4) - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (18*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (16*z^4)/a^10 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21306] -> 
  1 + 8*z^2 + z^2/a^6 - (4*z^2)/a^4 - 5*a^2*z^2 + 17*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 21307] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 27*z^2 + z^2/a^6 + (3*z^2)/a^4 - 
   (20*z^2)/a^2 - 9*a^2*z^2 + 28*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (17*z^4)/a^2 - 8*a^2*z^4 + 15*z^6 + z^6/a^6 - (5*z^6)/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 21308] -> a^(-2) - a^2 + a^4 + 6*z^2 - z^2/a^2 - 
   12*a^2*z^2 + 5*a^4*z^2 + 9*z^4 - z^4/a^4 + z^4/a^2 - 20*a^2*z^4 + 
   7*a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 
   2*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 21309] -> -a^(-4) + 2/a^2 - 8*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21310] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 - 
   z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   9*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21311] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 - 5*a^2*z^2 + 12*a^4*z^2 - 
   5*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 - a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 21312] -> 
  3 - 4*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 + z^2/a^2 - 17*a^2*z^2 + 7*a^4*z^2 + 
   8*z^4 - z^4/a^4 + (3*z^4)/a^2 - 23*a^2*z^4 + 8*a^4*z^4 + z^6 - z^6/a^4 + 
   (4*z^6)/a^2 - 15*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 21313] -> 
  -2 - 3/a^6 + 7/a^4 - 3/a^2 + 2*a^2 - 5*z^2 - (5*z^2)/a^6 + (24*z^2)/a^4 - 
   (21*z^2)/a^2 + 7*a^2*z^2 - 8*z^4 - (4*z^4)/a^6 + (30*z^4)/a^4 - 
   (40*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (33*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 21314] -> 
  -1 - a^(-8) + 5/a^4 - 4/a^2 + 2*a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (15*z^2)/a^2 + 4*a^2*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (19*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 21315] -> 1 - 2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*a^2 + 
   a^4 - z^2/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21316] -> -2/a^18 + 11/a^16 - 18/a^14 + 7/a^12 + 
   2/a^10 + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (46*z^2)/a^14 + 
   (27*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 + (5*z^4)/a^16 - 
   (35*z^4)/a^14 + (35*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 - 
   (8*z^6)/a^14 + (20*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 21317] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 3/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (14*z^2)/a^14 - (3*z^2)/a^12 + (15*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (8*z^4)/a^14 + (4*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 21318] -> 17 + 3/a^4 - 14/a^2 - 2*a^2 - 3*a^4 + 
   47*z^2 + (7*z^2)/a^4 - (38*z^2)/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 62*z^4 + 
   (5*z^4)/a^4 - (41*z^4)/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 43*z^6 + z^6/a^4 - 
   (19*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 21319] -> 
  8 + a^(-6) - 3/a^4 - 2/a^2 - a^2 - 2*a^4 + 23*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 26*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21320] -> -a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   a^2 + a^4 - 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (5*z^4)/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 21321] -> 
  -1 - 2/a^8 + 5/a^6 - 3/a^4 + a^(-2) + a^4 - 3*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21322] -> -1 + 2/a^6 - 9/a^4 + 10/a^2 - a^4 + 6*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 16*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21323] -> 1 - a^(-10) + 2/a^8 - a^(-4) - a^2 + a^4 + 
   z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - z^8/a^2, Knot[15, Alternating, 21324] -> 
  -a^(-10) + 2/a^8 - a^(-6) + 2/a^4 - 2/a^2 + a^4 - 3*z^2 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 21325] -> 
  a^(-8) - 4/a^6 + 3/a^4 + a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 21326] -> 
  -2 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + a^4 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (16*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21327] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 - 
   z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 4*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 - 10*a^2*z^6 - a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 21328] -> -7 - a^(-4) + 4/a^2 + 9*a^2 - 
   5*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 23*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21329] -> -2 + 7*a^2 - 8*a^4 + 8*a^6 - 5*a^8 + a^10 - 
   5*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   z^4 - z^4/a^2 + 11*a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 21330] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21331] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   14*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21332] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (20*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21333] -> 
  -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21334] -> 
  -3 - 2/a^8 + 6/a^6 - 7/a^4 + 6/a^2 + a^4 - 7*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (20*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21335] -> -1 + 2/a^10 - 7/a^8 + 8/a^6 - 5/a^4 + 
   4/a^2 - 4*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (23*z^2)/a^6 - 
   (17*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (27*z^4)/a^6 - (24*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21336] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21337] -> 
  -11 + 2/a^6 - 9/a^4 + 14/a^2 + 8*a^2 - 3*a^4 - 29*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (32*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - 31*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (31*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21338] -> 
  -2 - a^(-10) + 2/a^8 - 2/a^4 + 3/a^2 + a^4 - 4*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (5*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 21339] -> 
  -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (29*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (34*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 21340] -> -2 + 4*a^2 + a^6 - 3*a^8 + a^10 - 5*z^2 + 
   12*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   15*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 
   4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21341] -> 
  2 - a^(-2) - 2*a^2 + 6*a^4 - 5*a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 13*a^4*z^2 - 9*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 9*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 21342] -> -1 + 3*a^2 - 2*a^4 + 4*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 21343] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (4*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21344] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21345] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21346] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21347] -> 2*a^2 - 2*a^4 - a^6 + 4*a^8 - a^10 - a^12 + 
   5*a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 + 4*a^10*z^2 - 3*a^12*z^2 + 
   4*a^2*z^4 - 5*a^4*z^4 - 12*a^6*z^4 + 5*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 4*a^4*z^6 - 9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 
   2*a^6*z^8 - a^8*z^8, Knot[15, Alternating, 21348] -> 
  1 + 2/a^6 - 4/a^4 + 3/a^2 - 4*a^2 + 4*a^4 - a^6 - z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 21349] -> -a^(-14) + a^(-12) + 2/a^10 - 3/a^8 + 
   a^(-4) + a^(-2) - z^2/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 21350] -> 
  a^2 + a^4 - 4*a^6 + 4*a^8 + a^10 - 2*a^12 + 4*a^2*z^2 - 9*a^6*z^2 + 
   9*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 4*a^4*z^4 - 13*a^6*z^4 + 
   4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 9*a^6*z^6 - 
   2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 21351] -> 2*a^2 - 2*a^4 - a^6 + 4*a^8 - a^10 - a^12 + 
   z^2 + 3*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 7*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - 
   a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 21352] -> 
  2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21353] -> 
  1 - a^2 + a^4 - a^6 + 2*a^8 - a^12 + 2*z^2 - a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   5*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 21354] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   a^(-4) - 2/a^2 + a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21355] -> 
  -3/a^14 + 7/a^12 - 4/a^10 - 2/a^8 + a^(-6) + 2/a^4 - (4*z^2)/a^14 + 
   (19*z^2)/a^12 - (13*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (17*z^4)/a^10 - (12*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21356] -> -2/a^14 + 4/a^12 - a^(-10) - 2/a^8 - 
   a^(-6) + 3/a^4 - z^2/a^14 + (7*z^2)/a^12 - (7*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 21357] -> -2/a^14 + 4/a^12 - a^(-10) - 
   3/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + (8*z^2)/a^12 - (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - 
   (5*z^4)/a^10 - (9*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21358] -> -a^(-14) + a^(-12) + 2/a^10 - 3/a^8 + 
   a^(-4) + a^(-2) + z^2 + (3*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 21359] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 - 5*z^2 + z^2/a^4 + 
   z^2/a^2 + 2*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 4*z^4 - (2*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[15, Alternating, 21360] -> -2 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   5*a^4 - 2*a^6 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 21361] -> -a^(-14) + a^(-12) + 2/a^10 - 
   2/a^8 - 3/a^6 + 4/a^4 - z^2/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (10*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 21362] -> 
  2 - 2/a^12 + 5/a^10 - 3/a^8 - 2/a^6 + 4/a^4 - 3/a^2 + 3*z^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (9*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21363] -> -a^(-14) + a^(-12) + 2/a^10 - 2/a^8 - 
   3/a^6 + 4/a^4 - z^2/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (10*z^4)/a^8 - 
   (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 21364] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 21365] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   a^(-4) - 2/a^2 + a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21366] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 8*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 7*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 21367] -> -2 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   5*a^4 - 2*a^6 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 21368] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   2*a^6 + 4*a^8 - 2*a^10 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 7*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 21369] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 21370] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - a^6 + 2*a^8 - a^10 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 21371] -> 2 - a^(-10) + 2/a^6 + a^(-4) - 3/a^2 + 
   3*z^2 + (5*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21372] -> -5 - a^(-4) + 2/a^2 + 12*a^2 - 9*a^4 + 
   2*a^6 - 15*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 28*a^2*z^2 - 17*a^4*z^2 + 
   3*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 28*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21373] -> 2 - a^(-2) - a^2 + 4*a^4 - 4*a^6 + a^8 + 
   2*z^2 - z^2/a^2 - a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 21374] -> 
  2 - 3*a^4 + 2*a^6 + z^2 + a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 
   3*z^4 - 3*a^2*z^4 - 13*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   7*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 21375] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 3*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 5*a^2*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21376] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21377] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 2*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4/a^4 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 21378] -> 
  2*a^4 - a^8 + a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 4*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 21379] -> 
  1 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21380] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 21381] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 
   4*a^4 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21382] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 21383] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^6*z^4 + z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21384] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 + 
   z^2/a^6 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 21385] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21386] -> -3 - 2/a^4 + 3/a^2 + 7*a^2 - 4*a^4 - 
   10*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 12*z^4 + 
   (9*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21387] -> 
  3 - a^(-4) - a^4 + 6*z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21388] -> 
  -2 - 3/a^4 + 5/a^2 + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 21389] -> -12 - 5/a^4 + 13/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 + z^2/a^6 - (11*z^2)/a^4 + (30*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   25*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (29*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21390] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21391] -> 
  -1 + 3*a^2 - a^6 - 9*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 - 14*z^4 + (5*z^4)/a^2 + 11*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 21392] -> 
  -4 + a^(-4) + 7*a^2 - 4*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21393] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 6*z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21394] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21395] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 + 
   (7*z^2)/a^4 - (12*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21396] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21397] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + 
   (2*z^4)/a^4 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 21398] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21399] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 - z^4/a^6 + z^4/a^4 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21400] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21401] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21402] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 21403] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21404] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21405] -> -a^(-4) + 2/a^2 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 21406] -> 6*a^6 - 7*a^8 + 2*a^10 + 
   14*a^6*z^2 - 11*a^8*z^2 - 2*a^10*z^2 + 3*a^12*z^2 - 3*a^4*z^4 + 
   13*a^6*z^4 - 6*a^8*z^4 - 10*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   9*a^6*z^6 + 2*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 21407] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 4*a^4*z^2 + 
   3*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 21408] -> 4*a^4 - 4*a^6 + a^8 + 6*a^4*z^2 - 
   3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 21409] -> 2*a^2 - a^4 + 2*a^2*z^2 - a^6*z^2 - 
   a^8*z^2 + a^12*z^2 - z^4 - a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 21410] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21411] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - 2*z^2 - 
   z^2/a^6 + (10*z^2)/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21412] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 7*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 21413] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 - 9*a^2*z^2 + 12*a^4*z^2 - 3*a^8*z^2 + 
   3*z^4 - 9*a^2*z^4 + 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   8*a^2*z^6 - a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 21414] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + 5*a^4*z^2 - 2*a^8*z^2 + z^4/a^2 - 
   a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21415] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + z^2/a^2 + 7*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21416] -> 
  a^(-4) - a^(-2) + a^2 - (3*z^2)/a^2 + 2*a^2*z^2 - a^8*z^2 + z^4 + z^4/a^4 + 
   2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 21417] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + 3*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21418] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 - z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 21419] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   4*z^2 + z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21420] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21421] -> 2 - a^2 - a^4 + 2*a^6 - 2*a^8 + 
   a^10 + z^2 - a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 4*a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 21422] -> 
  a^(-2) - a^2 + 2*a^4 - a^6 - a^8 + a^10 - 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21423] -> 2*a^2 - a^4 - 2*z^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21424] -> 1 + 2*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 21425] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 - (3*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21426] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21427] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (10*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21428] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21429] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 12*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21430] -> -2 + 4*a^2 - a^4 + 2*a^6 - 2*a^8 - 3*z^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 + 3*z^4 + a^2*z^4 - 
   8*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 21431] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 21432] -> -3 + 7*a^2 - 3*a^4 + a^6 - a^8 - 3*z^2 + 
   9*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21433] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - z^2 - (3*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 21434] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21435] -> 2 - a^(-2) - a^2 + a^4 + 2*a^6 - 2*a^8 + 
   4*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21436] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + z^2 + 
   a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 21437] -> -11 + a^(-6) - 6/a^4 + 12/a^2 + 7*a^2 - 
   2*a^4 - 26*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (28*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 25*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21438] -> 1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 
   3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21439] -> -5 + 3/a^2 + 3*a^2 - 16*z^2 - z^2/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 22*z^4 - (2*z^4)/a^6 + 
   (12*z^4)/a^4 - (11*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21440] -> 
  -1 + 4*a^2 - 4*a^6 + 2*a^8 - 3*z^2 + 10*a^2*z^2 - 2*a^4*z^2 - 10*a^6*z^2 + 
   5*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 5*a^4*z^4 - 14*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 21441] -> -2 - a^(-4) + 5/a^2 - 5*a^2 + 4*a^4 - 
   10*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 - 17*a^2*z^2 + 10*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 23*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 21442] -> 
  a^2 + a^4 - a^6 - 5*z^2 + z^2/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 21443] -> 
  -a^(-14) + 3/a^12 - 6/a^8 + 3/a^6 + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (14*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21444] -> 
  -2 + 6*a^2 - 6*a^4 + 7*a^6 - 5*a^8 + a^10 - 5*z^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 
   11*a^4*z^4 + 4*a^6*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 21445] -> -7 - a^(-4) + 6/a^2 + 4*a^2 - 
   3*a^4 + 2*a^6 - 23*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 17*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 25*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21446] -> -3 - a^(-4) + 5/a^2 - a^2 - a^4 + 2*a^6 - 
   5*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 8*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 11*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 21447] -> -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 
   2*a^12 - 4*a^4*z^2 + 3*a^6*z^2 + 33*a^8*z^2 - 28*a^10*z^2 + 5*a^12*z^2 - 
   6*a^4*z^4 + 3*a^6*z^4 + 51*a^8*z^4 - 32*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 5*a^6*z^6 + 36*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 21448] -> 4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 
   5*z^2 - z^2/a^4 + (4*z^2)/a^2 - 15*a^2*z^2 + 7*a^4*z^2 - z^4/a^4 + 
   (6*z^4)/a^2 - 20*a^2*z^4 + 8*a^4*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   14*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 21449] -> 
  2/a^12 - 9/a^10 + 9/a^8 - a^(-6) + (5*z^2)/a^12 - (29*z^2)/a^10 + 
   (38*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (32*z^4)/a^10 + 
   (53*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (36*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21450] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 3*z^2 + 
   (4*z^2)/a^8 - (23*z^2)/a^6 + (34*z^2)/a^4 - (7*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (27*z^4)/a^6 + (45*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (32*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21451] -> -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (10*z^2)/a^12 - (9*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (15*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21452] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21453] -> -a^(-14) + 4/a^12 - 7/a^10 + 4/a^8 + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (16*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (19*z^4)/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 21454] -> -a^(-14) + 3/a^12 - 3/a^10 - 
   a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21455] -> -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (18*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (19*z^4)/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21456] -> 
  2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + (3*z^2)/a^12 - (17*z^2)/a^10 + 
   (18*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (14*z^4)/a^10 + 
   (21*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (12*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21457] -> 
  5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   11*a^4*z^2 + 5*a^6*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21458] -> 3/a^4 - 4/a^2 + 2*a^2 - 7*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 21459] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 18*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 21460] -> 
  -2 + a^2 + 7*a^4 - 5*a^6 - 8*z^2 + z^2/a^2 + 4*a^2*z^2 + 23*a^4*z^2 - 
   12*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 29*a^4*z^4 - 11*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 21461] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - 
   (12*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (6*z^4)/a^10 - (16*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21462] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   (22*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (9*z^4)/a^8 + (25*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 21463] -> -5 + 2/a^4 + 4*a^2 - 17*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21464] -> 
  -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - (4*z^2)/a^10 + (23*z^2)/a^8 - 
   (27*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (27*z^4)/a^8 - 
   (43*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (32*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21465] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 21466] -> 
  3/a^12 - 11/a^10 + 11/a^8 - 3/a^6 + a^(-4) + (3*z^2)/a^12 - (21*z^2)/a^10 + 
   (27*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (14*z^4)/a^10 + (25*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (12*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21467] -> 
  1 - a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + 2/a^4 + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 + z^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21468] -> -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21469] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 - z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21470] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - 2*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21471] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (10*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21472] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (10*z^2)/a^10 + (4*z^2)/a^8 + 
   (14*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (10*z^4)/a^8 + (20*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 21473] -> -a^(-4) + 3/a^2 - a^2 - 2*a^4 + 
   2*a^6 - 3*z^2 - z^2/a^6 + (4*z^2)/a^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21474] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 21475] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - 
   a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21476] -> 
  -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   15*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21477] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21478] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 9*z^2 + (5*z^2)/a^8 - (28*z^2)/a^6 + 
   (32*z^2)/a^4 + (5*z^2)/a^2 - 12*z^4 + (4*z^4)/a^8 - (34*z^4)/a^6 + 
   (50*z^4)/a^4 + (12*z^4)/a^2 - 6*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (38*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 21479] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 6*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (6*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (9*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 21480] -> 1 - 2/a^10 + 7/a^8 - 7/a^6 + a^(-4) + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (18*z^2)/a^8 - (18*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (15*z^4)/a^8 - 
   (22*z^4)/a^6 - (13*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (13*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21481] -> 3/a^12 - 9/a^10 + 5/a^8 + 3/a^6 - a^(-4) + 
   (7*z^2)/a^12 - (30*z^2)/a^10 + (27*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^4)/a^12 - (34*z^4)/a^10 + (43*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (17*z^6)/a^10 + (33*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 21482] -> 2/a^12 - 5/a^10 + 5/a^6 - 
   a^(-4) + (3*z^2)/a^12 - (12*z^2)/a^10 + (3*z^2)/a^8 + (16*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + (7*z^4)/a^8 + 
   (18*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21483] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (18*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (25*z^4)/a^8 - (30*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (27*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 21484] -> -a^(-10) + 3/a^8 - 2/a^6 - 
   2/a^4 + 3/a^2 + z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21485] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   20*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 21486] -> 
  -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 13*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21487] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21488] -> 
  -6 - a^(-8) + 3/a^6 - 4/a^4 + 6/a^2 + 3*a^2 - 22*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 21489] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - 
   a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 + (21*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 - (2*z^4)/a^8 + 
   (25*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (15*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21490] -> -a^2 + a^4 + 6*a^6 - 6*a^8 + a^10 - 
   3*a^2*z^2 + a^4*z^2 + 18*a^6*z^2 - 6*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 21*a^6*z^4 + 2*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 21491] -> 
  -4 - a^(-4) + 4/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 11*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + 
   14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 21492] -> 
  -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 8*z^2 + (3*z^2)/a^2 - a^2*z^2 + 
   17*a^4*z^2 - 7*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 18*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 21493] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21494] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21495] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21496] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + z^2/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (16*z^4)/a^6 + (20*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21497] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (10*z^2)/a^10 + (16*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (17*z^4)/a^10 + (15*z^4)/a^8 + (14*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (19*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21498] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (12*z^4)/a^8 - (11*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (15*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 21499] -> -2 + 2/a^10 - 8/a^8 + 11/a^6 - 
   9/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (26*z^2)/a^6 - 
   (20*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21500] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 3*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (21*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (22*z^4)/a^6 + 
   (32*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (26*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 21501] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + a^(-12) + 5/a^10 - z^2/a^18 + (12*z^2)/a^16 - 
   (35*z^2)/a^14 + (15*z^2)/a^12 + (21*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (34*z^4)/a^14 + (32*z^4)/a^12 + (32*z^4)/a^10 + (3*z^4)/a^8 - 
   (10*z^6)/a^14 + (24*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 21502] -> 
  -a^(-6) + 2/a^4 - a^4 + a^6 - z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21503] -> 
  1 + a^(-6) - 4/a^4 + 3/a^2 + 2*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21504] -> 
  1 - a^(-12) + 2/a^10 + 2/a^8 - 5/a^6 + a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 + (2*z^2)/a^8 - (12*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (14*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 21505] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (15*z^2)/a^8 - (14*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (22*z^4)/a^8 - (30*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (26*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 21506] -> 1 - 4/a^6 + 12/a^4 - 10/a^2 + 
   2*a^2 - (6*z^2)/a^6 + (32*z^2)/a^4 - (35*z^2)/a^2 + 7*a^2*z^2 - 6*z^4 - 
   (4*z^4)/a^6 + (33*z^4)/a^4 - (49*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (35*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 21507] -> 1 - 2/a^8 + 6/a^6 - 5/a^4 + a^(-2) - a^2 + 
   a^4 - z^2 - z^2/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 21508] -> 
  -11 - 2/a^4 + 7/a^2 + 11*a^2 - 4*a^4 - 28*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 29*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 32*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21509] -> 
  -2 + 4/a^8 - 16/a^6 + 17/a^4 - 2/a^2 - 9*z^2 + (8*z^2)/a^8 - (42*z^2)/a^6 + 
   (51*z^2)/a^4 - z^2/a^2 - 12*z^4 + (5*z^4)/a^8 - (43*z^4)/a^6 + 
   (65*z^4)/a^4 + (8*z^4)/a^2 - 6*z^6 + z^6/a^8 - (19*z^6)/a^6 + 
   (44*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 21510] -> 
  -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 8*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (8*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (11*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 21511] -> -2/a^8 + 5/a^6 - 2/a^4 - a^(-2) + a^4 - 
   3*z^2 - z^2/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21512] -> -1 + 2/a^10 - 7/a^8 + 5/a^6 + a^(-4) + 
   a^(-2) - 4*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 + 
   (12*z^2)/a^4 - 4*z^4 + z^4/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 + 
   (21*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 + (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 21513] -> -1 + a^(-10) - 3/a^8 + 3/a^4 + a^(-2) - 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 - z^2/a^6 + (10*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 + z^4/a^6 + (11*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 21514] -> -2 + 6*a^2 - 5*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   5*z^2 + 13*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 
   4*z^4 + 15*a^2*z^4 - 14*a^4*z^4 + 21*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 21515] -> 
  7 - a^(-4) - a^(-2) - 5*a^2 + a^4 + 13*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   15*a^2*z^2 + 5*a^4*z^2 + 8*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 19*a^2*z^4 + 
   7*a^4*z^4 - z^6 - z^6/a^4 + (7*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 21516] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   7*z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (27*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21517] -> -1 + a^(-10) - 5/a^8 + 8/a^6 - 7/a^4 + 
   5/a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + 
   (10*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 21518] -> 2 - a^(-2) - a^2 + a^4 + 2*a^6 - 2*a^8 + 
   z^2 - z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21519] -> 
  -7 - a^(-4) + 4/a^2 + 11*a^2 - 9*a^4 + 3*a^6 - 20*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 29*a^2*z^2 - 23*a^4*z^2 + 6*a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 33*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21520] -> -3 + a^(-2) + 2*a^2 + 4*a^4 - 
   3*a^6 - 7*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 21*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 21521] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 4/a^12 + 7/a^10 - z^2/a^18 + (11*z^2)/a^16 - 
   (27*z^2)/a^14 + (2*z^2)/a^12 + (26*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (29*z^4)/a^14 + (19*z^4)/a^12 + (36*z^4)/a^10 + (3*z^4)/a^8 - 
   (9*z^6)/a^14 + (18*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 21522] -> 
  -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21523] -> 
  -2/a^18 + 11/a^16 - 19/a^14 + 9/a^12 + a^(-10) + a^(-8) - z^2/a^18 + 
   (15*z^2)/a^16 - (44*z^2)/a^14 + (26*z^2)/a^12 + (12*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^4)/a^16 - (35*z^4)/a^14 + (35*z^4)/a^12 + 
   (24*z^4)/a^10 + (6*z^4)/a^8 - (9*z^6)/a^14 + (22*z^6)/a^12 + 
   (17*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 21524] -> -1 - 3/a^6 + 8/a^4 - 5/a^2 + 2*a^2 - 3*z^2 - 
   (6*z^2)/a^6 + (28*z^2)/a^4 - (27*z^2)/a^2 + 7*a^2*z^2 - 7*z^4 - 
   (4*z^4)/a^6 + (32*z^4)/a^4 - (44*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 21525] -> -1 - a^(-8) + a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - (13*z^2)/a^2 + 
   4*a^2*z^2 - 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (18*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 21526] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) - a^2 + a^4 + 4*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[15, Alternating, 21527] -> -a^(-16) + 6/a^14 - 12/a^12 + 7/a^10 + 
   a^(-8) - a^(-6) + a^(-4) + (5*z^2)/a^14 - (23*z^2)/a^12 + (29*z^2)/a^10 - 
   (9*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (10*z^4)/a^12 + (29*z^4)/a^10 - 
   (16*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21528] -> 
  6 + a^(-6) - 3/a^4 - a^(-2) - 2*a^4 + 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21529] -> -a^(-8) + a^(-6) + 3/a^4 - 3/a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 21530] -> 
  3 - a^(-2) - 3*a^2 + 2*a^4 + 3*a^6 - 4*a^8 + a^10 + 5*z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*z^4 - 
   z^4/a^2 - 8*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 21531] -> -4 - a^(-8) + 6/a^6 - 12/a^4 + 11/a^2 + 
   a^2 - 7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - z^4/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21532] -> -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 
   18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21533] -> 
  -1 - 2/a^8 + 5/a^6 - 2/a^4 - a^(-2) + 2*a^2 - z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (6*z^2)/a^4 - (10*z^2)/a^2 + 4*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 21534] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + a^(-2) - a^2 + a^4 - 2*z^2 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (5*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 21535] -> 
  -6 + 2/a^6 - 9/a^4 + 12/a^2 + 4*a^2 - 2*a^4 - 19*z^2 + (3*z^2)/a^6 - 
   (18*z^2)/a^4 + (30*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (32*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21536] -> 
  -a^(-10) + 2/a^8 - a^(-2) + a^4 - 3*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 21537] -> 1 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) + a^2 - 
   a^4 - z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 21538] -> 2 - a^(-2) + a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21539] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 7*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21540] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 21541] -> 2 - a^(-2) + 4*a^2 - 7*a^4 + 
   3*a^6 + 3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 + 
   a^8*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 22*a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 12*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 21542] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21543] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 21544] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   4*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21545] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 16*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21546] -> 
  3 - a^(-4) - a^4 + 4*z^2 - (4*z^2)/a^4 + (7*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 21547] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 
   17*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 
   26*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (30*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 21548] -> -4 + a^(-6) - 5/a^4 + 7/a^2 + 
   4*a^2 - 2*a^4 - 14*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 17*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21549] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^6 + 
   (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21550] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21551] -> -1 + 2/a^10 - 7/a^8 + 7/a^6 - 3/a^4 + 
   3/a^2 - 3*z^2 + (3*z^2)/a^10 - (16*z^2)/a^8 + (23*z^2)/a^6 - 
   (12*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (26*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21552] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21553] -> 
  4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 21554] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 21555] -> -1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 
   5/a^2 - 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (17*z^2)/a^4 + 
   (14*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21556] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 16*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 21557] -> 
  2/a^8 - 6/a^6 + 5/a^4 - 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 21558] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21559] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 21560] -> -3 - 2/a^8 + 6/a^6 - 6/a^4 + 
   4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21561] -> 
  a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + z^2/a^10 - (12*z^2)/a^8 + 
   (18*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^8 + 
   (19*z^4)/a^6 - (2*z^4)/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 + (10*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21562] -> -1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 
   5/a^2 - 3*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - 
   (19*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (21*z^4)/a^6 - (23*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21563] -> 
  -2 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 4/a^2 + a^4 - 2*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21564] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21565] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 21566] -> -3 - a^(-8) + 3/a^6 - 7/a^4 + 
   9/a^2 - 9*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (24*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (26*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21567] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (15*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (23*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21568] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (17*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (19*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 21569] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   6*z^2 + z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 8*z^4 - (3*z^4)/a^6 + z^4/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 21570] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21571] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   7*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 21572] -> 2 - 4*a^2 + 4*a^4 - a^8 + z^2 + z^2/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21573] -> -5 - a^(-4) + 4/a^2 + 2*a^2 + 3*a^4 - 
   2*a^6 - 12*z^2 - z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 12*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 8*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 21574] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 21575] -> 2*a^6 - 2*a^8 + 7*a^10 - 10*a^12 + 5*a^14 - 
   a^16 + 7*a^6*z^2 - 6*a^8*z^2 + 21*a^10*z^2 - 15*a^12*z^2 + 2*a^14*z^2 + 
   9*a^6*z^4 - 9*a^8*z^4 + 20*a^10*z^4 - 3*a^14*z^4 + 5*a^6*z^6 - 9*a^8*z^6 + 
   4*a^10*z^6 + 7*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 3*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 21576] -> 
  a^4 - a^6 + 5*a^8 - 6*a^10 + 3*a^12 - a^14 + 3*a^4*z^2 - 3*a^6*z^2 + 
   14*a^8*z^2 - 9*a^10*z^2 + 5*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - 
   4*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 + 5*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 21577] -> -a^(-14) + a^(-12) + 2/a^10 - 
   4/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + (5*z^2)/a^12 + z^2/a^10 - 
   (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 21578] -> 
  a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 + 
   5*a^10*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 + 
   10*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 8*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 21579] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 21580] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - 
   a^4 - 22*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 20*z^4 + z^4/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 12*z^6 + z^6/a^4 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 21581] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   4*z^6 - z^6/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 21582] -> 
  -2/a^14 + 4/a^12 - 7/a^8 + 6/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (2*z^2)/a^10 - (18*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (9*z^4)/a^10 - (23*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21583] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + 
   (5*z^2)/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 21584] -> 1 - a^2 + 2*a^4 - 3*a^6 + 3*a^8 - 
   a^12 + 2*z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 21585] -> 
  -3/a^14 + 7/a^12 - 5/a^10 + 2/a^4 - (4*z^2)/a^14 + (19*z^2)/a^12 - 
   (15*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (16*z^4)/a^12 - (20*z^4)/a^10 - (11*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (13*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21586] -> 
  -2/a^14 + 4/a^12 - 2/a^10 - a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + 
   (8*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21587] -> -2 + 2/a^2 + a^4 - a^6 + 2*a^8 - a^10 - 
   4*z^2 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 
   3*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 21588] -> 
  -a^(-14) + a^(-12) + a^(-10) - a^(-8) - a^(-6) + a^(-4) + a^(-2) - 
   z^2/a^14 + (5*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21589] -> 2 - 2/a^12 + 5/a^10 - 4/a^8 + 3/a^4 - 
   3/a^2 + 3*z^2 - z^2/a^12 + (10*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21590] -> -1 - a^(-12) + 2/a^10 - a^(-8) + a^(-2) + 
   a^2 - 2*z^2 + (4*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - z^4/a^4 - z^4/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21591] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 - 7*z^2 + (2*z^2)/a^2 + 
   13*a^2*z^2 - 11*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 9*z^4 + 
   z^4/a^2 + 13*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   8*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 21592] -> -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - a^(-2) + 
   a^2 - z^2 + (5*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21593] -> 
  2*a^2 - 2*a^4 + 2*a^8 - a^12 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 21594] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 - a^2 + 3*a^4 - a^6 - 8*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21595] -> -4 + 2/a^2 + 4*a^2 - 2*a^6 + a^8 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 21596] -> -8 - 2/a^4 + 5/a^2 + 13*a^2 - 9*a^4 + 
   2*a^6 - 19*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 28*a^2*z^2 - 17*a^4*z^2 + 
   3*a^6*z^2 - 19*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 27*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21597] -> -1 - a^(-4) + 2/a^2 + 4*a^4 - 4*a^6 + a^8 + 
   z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 + z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 
   z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 21598] -> -5 + 2/a^2 + 8*a^2 - 7*a^4 + 2*a^6 + 3*a^8 - 
   2*a^10 - 12*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 14*a^4*z^2 - 2*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 11*z^4 + z^4/a^2 + 17*a^2*z^4 - 10*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 21599] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^6 + a^8 - a^10 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 21600] -> 
  a^(-4) - a^(-2) + a^2 - a^6 + 2*a^8 - a^10 + z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 21601] -> -6 + 2/a^6 - 4/a^4 + 5/a^2 + 5*a^2 - a^4 - 
   19*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + z^4/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21602] -> 
  -6 + a^(-6) - 3/a^4 + 5/a^2 + 6*a^2 - 2*a^4 - 19*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21603] -> 
  2 - 2/a^12 + 5/a^10 - 5/a^8 + 5/a^6 - 4/a^4 + 3*z^2 - z^2/a^12 + 
   (10*z^2)/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 21604] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - 7*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21605] -> 
  4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 21606] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 4*a^8 + 2*a^10 - a^12 + z^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 21607] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - a^2*z^2 - 
   3*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 21608] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21609] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 + z^2/a^4 + 5*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21610] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21611] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2 + z^2/a^2 - 
   4*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21612] -> 2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 
   6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 21613] -> 
  -3 - a^(-4) + 3/a^2 + a^2 + 3*a^4 - 2*a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 21614] -> a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 21615] -> 2*a^2 - 6*a^4 + 12*a^6 - 9*a^8 + 2*a^10 - 
   z^2 + 9*a^2*z^2 - 21*a^4*z^2 + 28*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 15*a^2*z^4 - 28*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21616] -> 1 - a^2 + a^4 - a^6 + 4*a^8 - 
   4*a^10 + a^12 + z^2 - 4*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 - z^4 + 
   2*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + 6*a^8*z^4 - z^6 + 2*a^2*z^6 - 
   4*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 21617] -> 
  2 - 3*a^4 + 2*a^6 - z^2 + 4*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21618] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - z^4/a^2 - 2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21619] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 6*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21620] -> -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   7*z^2 + z^2/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21621] -> 2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   5*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21622] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 21623] -> 
  1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 11*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21624] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 2*z^2 + 3*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + z^4/a^2 + 6*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21625] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21626] -> 
  -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 2*a^4 - 18*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21627] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21628] -> -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 
   13*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + 
   (9*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21629] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21630] -> 
  7*a^6 - 12*a^8 + 10*a^10 - 5*a^12 + a^14 - 2*a^4*z^2 + 22*a^6*z^2 - 
   28*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 - 5*a^4*z^4 + 24*a^6*z^4 - 
   24*a^8*z^4 + 5*a^10*z^4 + 2*a^12*z^4 - 4*a^4*z^6 + 13*a^6*z^6 - 
   7*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 2*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 21631] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21632] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 - z^2/a^6 + (11*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 + 
   (14*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 21633] -> 
  2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 21634] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 
   3*z^6 + 6*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 21635] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 21636] -> 1 - z^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21637] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 
   15*z^2 + (7*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21638] -> 
  -2 - 2/a^8 + 3/a^6 - 3/a^4 + 5/a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 21639] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (7*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21640] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 21641] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 10*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 
   6*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - 
   (3*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 21642] -> 
  -1 - 2/a^4 + 4/a^2 - 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21643] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 4*z^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21644] -> 1 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21645] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - 
   6*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 5*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 21646] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + a^4*z^2 + 10*a^6*z^2 - 9*a^8*z^2 + 
   a^12*z^2 - a^2*z^4 - a^4*z^4 + 12*a^6*z^4 - 10*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 21647] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - a^2*z^2 + 3*a^4*z^2 + 11*a^6*z^2 - 
   14*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 13*a^6*z^4 - 
   13*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 21648] -> 2*a^2 - a^4 + 3*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 10*a^4*z^4 + 
   10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 21649] -> 1 + z^2 - a^2*z^2 - a^8*z^2 + a^10*z^2 + 
   z^4 - z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21650] -> 
  1 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21651] -> -1 + 4*a^2 - 2*a^4 - 8*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 21652] -> 
  5*a^6 - 5*a^8 + a^10 + 14*a^6*z^2 - 9*a^8*z^2 - 4*a^10*z^2 + 4*a^12*z^2 - 
   4*a^4*z^4 + 14*a^6*z^4 - 5*a^8*z^4 - 12*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 21653] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 4*a^4*z^2 + 
   5*a^6*z^2 - 7*a^8*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 21654] -> 2*a^4 - a^8 + 5*a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 21655] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   a^12*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 21656] -> 
  2 + a^(-2) - 4*a^2 + a^4 + a^6 + 7*z^2 - z^2/a^2 - 12*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 + 10*z^4 - (4*z^4)/a^2 - 8*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 21657] -> 
  3 + a^(-4) - a^(-2) - 4*a^2 + a^4 + a^6 + 2*z^2 - z^2/a^2 - 7*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - 4*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 21658] -> 3 - a^(-2) - a^2 + 11*z^2 - 
   (7*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 9*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21659] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 21660] -> 1 + a^2 - a^4 - a^8 + a^10 + z^2 + a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 
   10*a^4*z^4 + 10*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 21661] -> 2 - a^2 - a^8 + a^10 + 2*z^2 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   3*a^2*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21662] -> 
  a^4 + 2*a^6 - 2*a^8 + 2*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 
   a^2*z^4 + 10*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   7*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 21663] -> a^2 + a^4 - a^6 - z^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   12*a^4*z^4 + 12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 21664] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 
   4*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 
   7*a^6*z^4 - 10*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 21665] -> 3*a^4 - 2*a^6 + 5*a^4*z^2 + a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 6*a^6*z^4 - 10*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 21666] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   5*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 21667] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   (3*z^2)/a^4 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 + z^4/a^4 + 
   4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 21668] -> 2 - a^2 - a^8 + a^10 + z^2 - a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 
   9*a^4*z^4 + 11*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 21669] -> -a^(-6) + a^(-4) + a^(-2) - 
   4*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21670] -> 
  a^(-2) - a^8 + a^10 - 3*a^2*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21671] -> 
  -a^(-4) + 2/a^2 - z^2/a^4 + (2*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21672] -> 
  7 - 3/a^2 - 3*a^2 + 5*z^2 - z^2/a^4 - a^4*z^2 - 2*z^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21673] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 + (7*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (2*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21674] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 21675] -> 3 - 2/a^2 + 3*a^2 - 4*a^4 + 
   a^6 + 4*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 21676] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21677] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - 5*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21678] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21679] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   13*z^2 + z^2/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 21680] -> 
  -5 + 13*a^2 - 8*a^4 + a^6 - 6*z^2 - (2*z^2)/a^2 + 27*a^2*z^2 - 17*a^4*z^2 + 
   3*a^6*z^2 + 4*z^4 - (5*z^4)/a^2 + 24*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 21681] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - 5*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 - 9*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21682] -> -2 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 
   2*a^4 - 2*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (2*z^4)/a^6 + z^4/a^4 - (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 21683] -> 
  3 - 2/a^2 + 3*a^2 - 4*a^4 + a^6 + 4*z^2 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 21684] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21685] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 21686] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + (3*z^4)/a^8 - (16*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21687] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   z^2/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (4*z^4)/a^4 + 
   16*a^2*z^4 - 3*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21688] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21689] -> -3 + 8*a^2 - 5*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   14*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 2*z^4 + 4*a^2*z^4 - 
   12*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 6*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 21690] -> 
  1 - a^(-2) + 3*a^2 - 3*a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 4*a^2*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21691] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 12*z^2 - (9*z^2)/a^4 + (22*z^2)/a^2 + 
   2*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + z^4/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 
   9*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21692] -> -4 + 10*a^2 - 5*a^4 - 7*z^2 - z^2/a^2 + 
   24*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (4*z^4)/a^2 + 22*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 21693] -> -a^(-2) + 5*a^2 - 3*a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 21694] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   5*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^6 + z^4/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 21695] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 21696] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21697] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21698] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^6 - 
   z^2/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21699] -> 5 - 2/a^2 - 2*a^2 - a^4 + 2*a^6 - a^8 + 
   6*z^2 - z^2/a^2 - 5*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21700] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 14*z^2 - 
   (12*z^2)/a^4 + (28*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 21701] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 21702] -> -4 + 12*a^2 - 10*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + 3*z^4 + 3*a^2*z^4 - 
   15*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 21703] -> 
  -a^(-4) + 2/a^2 - a^4 + 2*a^6 - a^8 - z^2 + (2*z^2)/a^2 - a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 2*a^2*z^4 + 2*a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 21704] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   6*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 21705] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 + (3*z^6)/a^6 - (5*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 21706] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21707] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 4*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21708] -> -a^(-14) + 5/a^12 - 9/a^10 + 5/a^8 + 
   a^(-4) - (3*z^2)/a^14 + (15*z^2)/a^12 - (21*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (19*z^4)/a^10 - 
   (2*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21709] -> 2/a^12 - 8/a^10 + 8/a^8 - 2/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (18*z^2)/a^10 + (22*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (13*z^4)/a^10 + (21*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (10*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21710] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^12 - (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21711] -> 1 - 2/a^10 + 7/a^8 - 8/a^6 + 3/a^4 + 3*z^2 - 
   (3*z^2)/a^10 + (18*z^2)/a^8 - (21*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   3*z^4 - z^4/a^10 + (13*z^4)/a^8 - (21*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21712] -> 1 + a^(-8) - 6/a^6 + 9/a^4 - 4/a^2 + z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (22*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (13*z^4)/a^6 + (20*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (10*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 21713] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 - (3*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 21714] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 12*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21715] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + 
   z^2 + (4*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - (6*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^2 + z^6 + 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21716] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 21717] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21718] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) - z^2 + z^2/a^12 - 
   (6*z^2)/a^10 + z^2/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21719] -> 
  1 - a^(-12) + 2/a^10 + 2/a^8 - 6/a^6 + 3/a^4 + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 + z^2/a^8 - (11*z^2)/a^6 + z^2/a^2 + z^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (11*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 21720] -> 
  5 - a^(-4) - 4*a^2 + a^4 + 7*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 9*a^2*z^2 + 
   2*a^6*z^2 + 3*z^4 - z^4/a^4 + (7*z^4)/a^2 - 11*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21721] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 - z^2 - z^2/a^6 + (6*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 21722] -> -3 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21723] -> 3/a^12 - 12/a^10 + 13/a^8 - 4/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (21*z^2)/a^10 + (27*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (13*z^4)/a^10 + (23*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (10*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21724] -> 3/a^12 - 12/a^10 + 13/a^8 - 4/a^6 + a^(-4) + 
   (3*z^2)/a^12 - (21*z^2)/a^10 + (27*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (13*z^4)/a^10 + (23*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (10*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21725] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (15*z^4)/a^8 - (13*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21726] -> 1 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (7*z^4)/a^6 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21727] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21728] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21729] -> 
  -2 - a^(-4) + 2/a^2 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21730] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   4*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - z^4/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21731] -> 
  2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 4*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21732] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21733] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2 + 
   z^2/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21734] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 - z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 4*z^4 + (2*z^4)/a^4 + z^4/a^2 - 
   5*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 21735] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (4*z^2)/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + (6*z^4)/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 21736] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21737] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21738] -> 
  1 - 3/a^6 + 9/a^4 - 7/a^2 + a^4 - 2*z^2 - (4*z^2)/a^6 + (21*z^2)/a^4 - 
   (20*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 10*z^4 - z^4/a^6 + (15*z^4)/a^4 - 
   (21*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - 
   (11*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - (2*z^8)/a^2 - a^2*z^8, 
 Knot[15, Alternating, 21739] -> 1 - a^(-8) + a^(-6) + 4/a^4 - 5/a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 + 2*a^4*z^2 - 
   6*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 21740] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 23*z^2 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21741] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 10*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (22*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (26*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21742] -> 
  3/a^12 - 10/a^10 + 7/a^8 + 2/a^6 - a^(-4) + (7*z^2)/a^12 - (34*z^2)/a^10 + 
   (34*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (5*z^4)/a^12 - (40*z^4)/a^10 + 
   (56*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^12 - (19*z^6)/a^10 + 
   (42*z^6)/a^8 + (12*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (15*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21743] -> 2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (9*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (12*z^4)/a^8 + (20*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21744] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 - (3*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (4*z^4)/a^8 + (23*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21745] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   18*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21746] -> 
  4 - 2/a^4 + 3/a^2 - 7*a^2 + 3*a^4 + 5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   14*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   14*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21747] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   6*z^4 + (2*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 21748] -> 
  -a^(-18) + 6/a^16 - 11/a^14 + 4/a^12 + 2/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (19*z^2)/a^14 + (8*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (10*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 21749] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21750] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2 + z^2/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^6)/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 21751] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21752] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21753] -> -1 - a^(-8) + 2/a^6 + a^4 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21754] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 21755] -> 3/a^10 - 11/a^8 + 11/a^6 - 
   2/a^4 + (2*z^2)/a^12 - (5*z^2)/a^10 - (10*z^2)/a^8 + (25*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + (12*z^4)/a^8 + (22*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (21*z^6)/a^8 + (12*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 21756] -> 
  2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - (3*z^2)/a^10 - 
   (6*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (5*z^4)/a^8 + (13*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21757] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (12*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (13*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21758] -> -a^(-18) + 6/a^16 - 11/a^14 + 4/a^12 + 
   2/a^10 + a^(-8) + (5*z^2)/a^16 - (19*z^2)/a^14 + (8*z^2)/a^12 + 
   (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + (10*z^4)/a^12 + 
   (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 21759] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 3*z^2 - (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (11*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (10*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21760] -> 
  -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 4/a^2 - z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 21761] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 
   4*a^2 - a^4 - 8*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 21762] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) - 
   z^2 + z^2/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 - 
   z^4 - (3*z^4)/a^10 + z^4/a^8 + (13*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21763] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21764] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (17*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (22*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 21765] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21766] -> -1 - 2/a^8 + 6/a^6 - 5/a^4 + 2/a^2 + a^4 - 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21767] -> a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 4/a^6 + 
   a^(-4) - (4*z^2)/a^12 + (13*z^2)/a^10 - (13*z^2)/a^8 + (4*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 + (6*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 21768] -> 
  -2/a^18 + 11/a^16 - 20/a^14 + 11/a^12 + a^(-8) - z^2/a^18 + (14*z^2)/a^16 - 
   (41*z^2)/a^14 + (25*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 + 
   (4*z^4)/a^16 - (28*z^4)/a^14 + (27*z^4)/a^12 + (23*z^4)/a^10 + 
   (8*z^4)/a^8 - (6*z^6)/a^14 + (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 21769] -> 
  -a^(-18) + 5/a^16 - 7/a^14 - a^(-12) + 4/a^10 + a^(-8) + (4*z^2)/a^16 - 
   (12*z^2)/a^14 - (2*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (6*z^4)/a^14 + (3*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 21770] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   3*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (14*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21771] -> 3 - 4/a^6 + 13/a^4 - 12/a^2 + a^4 - 2*z^2 - 
   (4*z^2)/a^6 + (24*z^2)/a^4 - (25*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 11*z^4 - 
   z^4/a^6 + (15*z^4)/a^4 - (23*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + 
   (3*z^6)/a^4 - (11*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - (2*z^8)/a^2 - 
   a^2*z^8, Knot[15, Alternating, 21772] -> 1 - 2/a^8 + 5/a^6 - a^(-4) - 
   3/a^2 + a^4 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + 
   2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 21773] -> -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 
   30*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 30*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 31*z^4 - z^4/a^4 + (12*z^4)/a^2 + 34*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21774] -> 
  -1 + 2/a^10 - 7/a^8 + 6/a^6 - a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^10 - 
   (17*z^2)/a^8 + (24*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (13*z^4)/a^8 + (30*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (16*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 21775] -> -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 
   2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21776] -> 9 - a^(-4) - a^(-2) - 9*a^2 + 3*a^4 + 
   15*z^2 - (2*z^2)/a^4 + z^2/a^2 - 16*a^2*z^2 + 3*a^6*z^2 + 8*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 13*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21777] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (20*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21778] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (20*z^2)/a^4 + (21*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 6*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 21779] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + 6*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 21780] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + a^2 + 2*a^4 - a^6 - 9*z^2 + z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21781] -> -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + (17*z^4)/a^8 + (16*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (25*z^6)/a^8 + (10*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 21782] -> 
  -2/a^6 + 3/a^4 + z^2/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21783] -> -3 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + a^4 - 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21784] -> -2/a^18 + 11/a^16 - 20/a^14 + 11/a^12 + 
   a^(-8) - z^2/a^18 + (14*z^2)/a^16 - (41*z^2)/a^14 + (25*z^2)/a^12 + 
   (11*z^2)/a^10 + (5*z^2)/a^8 + (4*z^4)/a^16 - (28*z^4)/a^14 + 
   (27*z^4)/a^12 + (23*z^4)/a^10 + (8*z^4)/a^8 - (6*z^6)/a^14 + 
   (15*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 21785] -> 
  -a^(-18) + 5/a^16 - 7/a^14 - a^(-12) + 4/a^10 + a^(-8) + (4*z^2)/a^16 - 
   (12*z^2)/a^14 - (2*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (6*z^4)/a^14 + (3*z^4)/a^12 + (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 21786] -> -1 - a^(-8) + 2/a^6 + a^4 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21787] -> 
  -1 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 + a^4 - 3*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 21788] -> -a^(-16) + 6/a^14 - 12/a^12 + 8/a^10 - 
   a^(-8) + a^(-4) + (4*z^2)/a^14 - (16*z^2)/a^12 + (14*z^2)/a^10 + 
   (3*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (6*z^4)/a^12 + (12*z^4)/a^10 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^10 - z^6/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^8 - z^8/a^6, Knot[15, Alternating, 21789] -> 
  -5 + 2/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - a^4 - 24*z^2 + (3*z^2)/a^6 - 
   (19*z^2)/a^4 + (35*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 30*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (35*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21790] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (17*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21791] -> 
  -1 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 2/a^2 + a^4 - 2*z^2 + (3*z^2)/a^8 - 
   z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[15, Alternating, 21792] -> 
  1 - a^(-10) + 2/a^8 + a^(-4) - 3/a^2 + a^4 - 2*z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4, Knot[15, Alternating, 21793] -> 
  -1 + a^(-8) - 4/a^6 + 4/a^4 + 2*a^2 - a^4 - 3*z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (12*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 21794] -> 
  4 - 2/a^4 + 3/a^2 - 7*a^2 + 3*a^4 + 5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   14*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   14*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21795] -> -3 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + a^4 - 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21796] -> -5 + 2/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - a^4 - 
   24*z^2 + (3*z^2)/a^6 - (19*z^2)/a^4 + (35*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 30*z^4 + z^4/a^6 - (13*z^4)/a^4 + (35*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21797] -> 
  -3 + 10*a^2 - 9*a^4 + 4*a^6 - a^8 - 11*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 
   20*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 21798] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 21799] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   17*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21800] -> 
  5 - 2/a^2 - 2*a^2 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 + 4*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21801] -> -a^(-4) + 2/a^2 - a^4 + 2*a^6 - a^8 + 
   z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21802] -> 
  5 - 2/a^8 + 5/a^6 - 4/a^4 - a^(-2) - 2*a^2 + 9*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21803] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   5*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21804] -> 2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 
   6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21805] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 5*z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 21806] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 2*a^2 + 2*a^4 - a^6 - 8*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 + 4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 21807] -> 
  -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 3*z^2 - (3*z^2)/a^6 + z^2/a^2 + 
   a^2*z^2 - a^6*z^2 + (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 21808] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + a^(-6) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21809] -> -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 
   2/a^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21810] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (20*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (10*z^4)/a^6 - 
   (20*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21811] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 3*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 21812] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21813] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + a^(-2) + a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21814] -> 
  -3/a^14 + 7/a^12 - 6/a^10 + 2/a^8 - a^(-6) + 2/a^4 - (4*z^2)/a^14 + 
   (19*z^2)/a^12 - (16*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (18*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21815] -> -2/a^14 + 4/a^12 - 2/a^10 - a^(-8) + 2/a^4 - 
   z^2/a^14 + (7*z^2)/a^12 - z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21816] -> a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   a^2 - z^2 - (4*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + a^2*z^2 - a^4*z^2 + 
   z^4 + (5*z^4)/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 21817] -> 
  -2/a^14 + 4/a^12 - 3/a^10 + a^(-8) + a^(-2) - z^2/a^14 + (8*z^2)/a^12 - 
   (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^12 - (5*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21818] -> -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 
   a^(-6) + a^(-2) + z^2 + (3*z^2)/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 21819] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + a^2 + 2*a^4 - a^6 - 12*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 9*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21820] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 8*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 21821] -> -2 + 2/a^2 + a^2 - a^4 + 2*a^8 - a^10 - 
   4*z^2 + z^2/a^4 + z^2/a^2 - 3*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 4*z^4 - 
   (2*z^4)/a^2 - 3*a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[15, Alternating, 21822] -> -6 + a^(-6) - 2/a^4 + 4/a^2 + 4*a^2 + a^4 - 
   a^6 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 21823] -> -a^(-14) + a^(-12) + 2/a^10 - 
   4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 21824] -> 
  -3 + 2/a^6 - 4/a^4 + 5/a^2 + a^6 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 21825] -> 1 - a^4 + a^6 + a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 21826] -> 
  2 - 2/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 21827] -> -a^(-12) + 2/a^10 - a^(-8) + a^(-4) - 
   a^(-2) + a^2 - z^2 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^2 + 
   z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21828] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + 
   (4*z^2)/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (9*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21829] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21830] -> -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 2/a^4 + 
   a^2 - 2*z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^2 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 21831] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + a^(-2) + a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21832] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + 2*a^8 - a^10 - 12*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 11*z^4 + 
   z^4/a^2 + 17*a^2*z^4 - 8*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   9*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 21833] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 - 
   z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 21834] -> 
  -6 + a^(-6) - 2/a^4 + 4/a^2 + 4*a^2 + a^4 - a^6 - 11*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 21835] -> -a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 5/a^4 + 
   a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 21836] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - a^6 + 
   2*a^8 - a^10 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   6*a^6*z^4 + 3*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 21837] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21838] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - 
   a^10 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 21839] -> 
  2 - 2*a^2 + a^4 - 5*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21840] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 2*a^2*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 21841] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   z^4/a^4 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 21842] -> a^(-2) - a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 21843] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21844] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 5*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 21845] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   3*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21846] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21847] -> 
  2*a^4 - a^6 + a^8 - a^10 + z^2 - a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 21848] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21849] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21850] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21851] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21852] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 21853] -> 2 - 2/a^8 + 4/a^6 - 3/a^4 + a^(-2) - a^2 + 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21854] -> 3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 
   6*z^2 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21855] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 21856] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21857] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (14*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 21858] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 4*a^2*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 - z^4 + (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21859] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 11*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 21860] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 21861] -> 2 - a^2 - a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 13*z^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21862] -> 2*a^4 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 21863] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21864] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 3*a^2*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   9*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21865] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 21866] -> 
  -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 14*z^2 + (6*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21867] -> -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 21868] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - 3*z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21869] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - z^2 - z^2/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 + z^4/a^4 + z^4/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 21870] -> 
  5 - 2/a^8 + 4/a^6 - 2/a^4 - 2/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21871] -> 2*a^2 - 6*a^4 + 12*a^6 - 9*a^8 + 2*a^10 - 
   z^2 + 9*a^2*z^2 - 21*a^4*z^2 + 28*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 15*a^2*z^4 - 28*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21872] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 
   3*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 21873] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   4*a^2*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21874] -> 
  2 - a^(-8) + a^(-6) - a^2 + 3*z^2 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21875] -> 
  2 - a^2 - a^4 + 2*a^8 - a^10 + a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 4*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + 
   z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 21876] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 - 
   z^2/a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 21877] -> 
  2*a^4 - a^6 + a^10 - a^12 + 6*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 + 
   z^4 - 4*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21878] -> 
  -1 - a^(-6) + 2/a^4 + 2*a^4 - a^6 - 3*z^2 + z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 21879] -> 
  2 - a^(-2) + a^6 - a^8 + 5*z^2 - (2*z^2)/a^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21880] -> 
  2 - 2/a^8 + 3/a^6 - a^(-4) - a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21881] -> 2 - a^(-8) + a^(-6) - a^2 + 4*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - a^4*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 21882] -> 
  2 - 3*a^4 + 2*a^6 - z^2 + 5*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 21883] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + 2*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 21884] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 + 3*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 21885] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21886] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 21887] -> 3 - a^(-2) - a^2 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 21888] -> 
  1 + z^2 + z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21889] -> 
  2*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 21890] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2 - z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 21891] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 - z^2/a^2 + 
   2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 21892] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 2*z^2 + 14*a^2*z^2 - 25*a^4*z^2 + 
   17*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 28*a^4*z^4 + 
   17*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 15*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 21893] -> 1 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - z^4/a^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 21894] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 21895] -> 2*a^2 - a^4 + 4*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 11*a^4*z^4 + 
   9*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 21896] -> 1 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21897] -> 4*a^6 - 3*a^8 + 13*a^6*z^2 - 7*a^8*z^2 - 
   3*a^10*z^2 + 3*a^12*z^2 - 3*a^4*z^4 + 13*a^6*z^4 - 5*a^8*z^4 - 
   10*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 2*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 21898] -> 
  a^4 + 2*a^6 - 2*a^8 + 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 4*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 21899] -> 
  2*a^4 - a^8 + 5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 21900] -> 
  3*a^2 - a^4 - 2*a^6 + a^10 + 3*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 - 
   5*a^8*z^2 + 6*a^10*z^2 - 5*a^2*z^4 + 8*a^4*z^4 - 8*a^6*z^4 - 16*a^8*z^4 + 
   5*a^10*z^4 - 5*a^2*z^6 + 11*a^4*z^6 + 4*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - 
   a^2*z^8 + 6*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 21901] -> 1 + a^2 - 2*a^6 + a^10 + z^2 + a^2*z^2 - 
   a^4*z^2 - 6*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 + 
   2*a^4*z^4 - 6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 21902] -> 2 - a^2 + a^4 - 2*a^6 + a^10 + z^2 - 
   a^2*z^2 - 6*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^4*z^4 - 
   6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 21903] -> 
  -2/a^8 + 2/a^6 + a^(-4) - 3*z^2 - z^2/a^8 + (6*z^2)/a^4 + (3*z^2)/a^2 - 
   4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21904] -> -a^(-8) + 2/a^4 - z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21905] -> 2 - a^2 + a^4 - 2*a^6 + a^10 + 2*z^2 - 
   3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 - 
   3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 21906] -> a^2 + a^6 - a^8 + 2*a^2*z^2 + a^4*z^2 - 
   a^8*z^2 + a^12*z^2 - z^4 - a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 21907] -> 
  a^(-2) + a^4 - 2*a^6 + a^10 - 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 21908] -> -2/a^6 + 3/a^4 + z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21909] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 + z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 21910] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21911] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^8 + 
   z^2/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 21912] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) - (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21913] -> -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - z^2/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 13*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 21914] -> -2/a^14 + 7/a^12 - 4/a^10 - 8/a^8 + 8/a^6 - 
   (5*z^2)/a^14 + (24*z^2)/a^12 - (22*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (4*z^4)/a^14 + (30*z^4)/a^12 - (38*z^4)/a^10 - 
   (18*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (32*z^6)/a^10 - 
   (14*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 21915] -> 
  -2/a^14 + 9/a^12 - 14/a^10 + 6/a^8 + 2/a^6 - (5*z^2)/a^14 + (27*z^2)/a^12 - 
   (43*z^2)/a^10 + (19*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + 
   (31*z^4)/a^12 - (52*z^4)/a^10 + (14*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (35*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 21916] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (13*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (26*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 21917] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + z^4/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 21918] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 5*z^2 + z^2/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + (7*z^2)/a^2 - 
   7*z^4 + z^4/a^8 - (9*z^4)/a^6 + (11*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 21919] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21920] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 - z^2/a^4 + 2*a^2*z^2 - a^4*z^2 + z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 21921] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21922] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - (21*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - 
   (24*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 21923] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + 
   a^2 - 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 
   15*z^4 - z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21924] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 21925] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (19*z^4)/a^4 - (24*z^4)/a^2 + 
   8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - (26*z^6)/a^2 + 5*a^2*z^6 - 
   5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 21926] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + 
   (7*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 21927] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 22*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (19*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 26*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21928] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 24*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (19*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 28*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 21929] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (21*z^4)/a^8 - (28*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (14*z^6)/a^8 - (27*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21930] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^10 + 
   (5*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 - (5*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 21931] -> 
  11 - 4/a^2 - 8*a^2 + 2*a^4 + 47*z^2 - (14*z^2)/a^2 - 46*a^2*z^2 + 
   15*a^4*z^2 + 75*z^4 - (16*z^4)/a^2 - 89*a^2*z^4 + 29*a^4*z^4 + 53*z^6 - 
   (7*z^6)/a^2 - 82*a^2*z^6 + 23*a^4*z^6 + 17*z^8 - z^8/a^2 - 40*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 21932] -> 6 - a^(-4) - 6*a^2 + 2*a^4 + 13*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 23*a^2*z^2 + 9*a^4*z^2 + 5*z^4 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 - 30*a^2*z^4 + 12*a^4*z^4 - 6*z^6 - z^6/a^4 + (10*z^6)/a^2 - 
   20*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 21933] -> 
  1 - 2/a^4 + 4/a^2 - 4*a^2 + 2*a^4 - 2*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 - 
   14*a^2*z^2 + 7*a^4*z^2 - 7*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 - 20*a^2*z^4 + 
   9*a^4*z^4 - 9*z^6 - z^6/a^4 + (10*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 21934] -> 1 - 2/a^4 + 4/a^2 - 4*a^2 + 2*a^4 - 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 8*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 21935] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 21936] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21937] -> 
  3 - a^(-6) + 2/a^4 - a^(-2) - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 21938] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   13*z^2 + z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21939] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   12*z^4 - (2*z^4)/a^6 + (13*z^4)/a^4 - (13*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (12*z^6)/a^4 - (21*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 21940] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + 
   (5*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (11*z^4)/a^8 - (11*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (15*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21941] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) - 
   (5*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (8*z^4)/a^8 - z^4/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (13*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21942] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 + z^4/a^8 - 
   z^4/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (8*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 21943] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (13*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + 
   (26*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 21944] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 3*a^2 - 
   9*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + 5*a^2*z^2 - a^4*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 21945] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 12*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21946] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - (10*z^2)/a^8 + (24*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 21947] -> 
  19 - 6/a^2 - 18*a^2 + 6*a^4 + 67*z^2 - (17*z^2)/a^2 - 77*a^2*z^2 + 
   27*a^4*z^2 + 89*z^4 - (17*z^4)/a^2 - 120*a^2*z^4 + 38*a^4*z^4 + 56*z^6 - 
   (7*z^6)/a^2 - 95*a^2*z^6 + 25*a^4*z^6 + 17*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 21948] -> 5 - 2/a^4 + 3/a^2 - 9*a^2 + 4*a^4 + 8*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 31*a^2*z^2 + 14*a^4*z^2 - z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 - 37*a^2*z^4 + 14*a^4*z^4 - 8*z^6 - z^6/a^4 + (10*z^6)/a^2 - 
   22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 21949] -> 
  -4 - 3/a^4 + 8/a^2 - 2*a^2 + 2*a^4 - 18*z^2 - (7*z^2)/a^4 + (26*z^2)/a^2 - 
   11*a^2*z^2 + 9*a^4*z^2 - 26*z^4 - (5*z^4)/a^4 + (29*z^4)/a^2 - 
   21*a^2*z^4 + 12*a^4*z^4 - 19*z^6 - z^6/a^4 + (13*z^6)/a^2 - 18*a^2*z^6 + 
   6*a^4*z^6 - 7*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 21950] -> -2 - a^(-6) + a^(-4) + 3/a^2 - 2*a^2 + 
   2*a^4 - 11*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - 15*z^4 - z^4/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   4*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 21951] -> 
  10 - a^(-4) - a^(-2) - 11*a^2 + 4*a^4 + 24*z^2 - (3*z^2)/a^4 + z^2/a^2 - 
   34*a^2*z^2 + 12*a^4*z^2 + 18*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 
   36*a^2*z^4 + 11*a^4*z^4 + 2*z^6 - z^6/a^4 + (7*z^6)/a^2 - 19*a^2*z^6 + 
   5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 21952] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 
   10*z^2 + z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 21953] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21954] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + a^2 - 13*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21955] -> 
  19 - 6/a^2 - 18*a^2 + 6*a^4 + 67*z^2 - (17*z^2)/a^2 - 77*a^2*z^2 + 
   27*a^4*z^2 + 89*z^4 - (17*z^4)/a^2 - 120*a^2*z^4 + 38*a^4*z^4 + 56*z^6 - 
   (7*z^6)/a^2 - 95*a^2*z^6 + 25*a^4*z^6 + 17*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 21956] -> 5 - 2/a^4 + 3/a^2 - 9*a^2 + 4*a^4 + 8*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 31*a^2*z^2 + 14*a^4*z^2 - z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 - 37*a^2*z^4 + 14*a^4*z^4 - 8*z^6 - z^6/a^4 + (10*z^6)/a^2 - 
   22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 21957] -> 
  -9 - 4/a^4 + 12/a^2 + 2*a^4 - 33*z^2 - (8*z^2)/a^4 + (34*z^2)/a^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 38*z^4 - (5*z^4)/a^4 + (32*z^4)/a^2 - 11*a^2*z^4 + 
   9*a^4*z^4 - 22*z^6 - z^6/a^4 + (13*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 
   7*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 21958] -> -2/a^6 + 5/a^4 - 2/a^2 - 2*a^2 + 2*a^4 - 
   2*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   5*z^4 - z^4/a^6 + (9*z^4)/a^4 - (10*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 21959] -> a^(-10) - 3/a^8 + 4/a^4 - 
   a^(-2) - (3*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 21960] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21961] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (19*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21962] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21963] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 21964] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (13*z^4)/a^8 + (15*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 + 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 21965] -> -a^(-8) + 2/a^6 - 2*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^4 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 21966] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 14*a^6*z^2 - 15*a^8*z^2 + 6*a^10*z^2 - 5*a^2*z^4 + 
   2*a^4*z^4 + 14*a^6*z^4 - 22*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   10*a^4*z^6 + 12*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   6*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 21967] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   7*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 21968] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 - 
   a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 21969] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 21970] -> 
  -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - z^2 + a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 21971] -> 
  1 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 21972] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 
   19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 24*z^4 + z^4/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21973] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^10 - 
   (10*z^2)/a^8 + (18*z^2)/a^6 - (21*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (27*z^4)/a^4 + (18*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 21974] -> -3/a^14 + 7/a^12 - 7/a^10 + 2/a^8 + 2/a^6 - 
   (7*z^2)/a^14 + (30*z^2)/a^12 - (31*z^2)/a^10 + (5*z^2)/a^8 + 
   (13*z^2)/a^6 - (5*z^4)/a^14 + (39*z^4)/a^12 - (52*z^4)/a^10 - 
   (2*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (41*z^6)/a^10 - 
   (10*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 21975] -> 
  -2/a^14 + 4/a^12 - 3/a^10 - a^(-8) + 3/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (8*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (11*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 21976] -> 
  -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 + (3*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 21977] -> 4*a^8 - 7*a^10 + 9*a^12 - 5*a^14 + 
   22*a^8*z^2 - 33*a^10*z^2 + 47*a^12*z^2 - 20*a^14*z^2 + 40*a^8*z^4 - 
   67*a^10*z^4 + 81*a^12*z^4 - 21*a^14*z^4 + 29*a^8*z^6 - 70*a^10*z^6 + 
   58*a^12*z^6 - 8*a^14*z^6 + 9*a^8*z^8 - 38*a^10*z^8 + 18*a^12*z^8 - 
   a^14*z^8 + a^8*z^10 - 10*a^10*z^10 + 2*a^12*z^10 - a^10*z^12, 
 Knot[15, Alternating, 21978] -> a^6 + a^8 - 3*a^10 + 6*a^12 - 4*a^14 + 
   6*a^6*z^2 + 4*a^8*z^2 - 6*a^10*z^2 + 21*a^12*z^2 - 10*a^14*z^2 + 
   11*a^6*z^4 - 2*a^8*z^4 - 8*a^10*z^4 + 27*a^12*z^4 - 6*a^14*z^4 + 
   6*a^6*z^6 - 10*a^8*z^6 - 11*a^10*z^6 + 13*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 6*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 21979] -> 2*a^6 - 2*a^8 + a^10 + 3*a^12 - 3*a^14 + 
   9*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 + 12*a^12*z^2 - 7*a^14*z^2 + 
   12*a^6*z^4 - 10*a^8*z^4 + 2*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 
   6*a^6*z^6 - 12*a^8*z^6 - 6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 21980] -> 4*a^8 - 6*a^10 + 7*a^12 - 4*a^14 + 
   4*a^6*z^2 + 10*a^8*z^2 - 11*a^10*z^2 + 22*a^12*z^2 - 10*a^14*z^2 + 
   10*a^6*z^4 + 2*a^8*z^4 - 10*a^10*z^4 + 27*a^12*z^4 - 6*a^14*z^4 + 
   6*a^6*z^6 - 9*a^8*z^6 - 11*a^10*z^6 + 13*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 6*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 21981] -> a^6 + a^8 - 2*a^10 + 4*a^12 - 3*a^14 + 
   a^4*z^2 + 6*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 + 8*a^12*z^2 - 4*a^14*z^2 + 
   3*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 + 8*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 21982] -> 
  2*a^6 - 2*a^8 + 2*a^10 + a^12 - 2*a^14 + 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   5*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 + 
   4*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 21983] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 
   2*a^2 - 15*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 21984] -> 
  2*a^6 - 2*a^8 + a^10 + 3*a^12 - 3*a^14 + a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 + 8*a^12*z^2 - 4*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + 
   3*a^10*z^4 + 8*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 21985] -> 2*a^6 - 2*a^8 + 2*a^10 + a^12 - 2*a^14 + 
   3*a^4*z^2 + 4*a^6*z^2 + 4*a^10*z^2 + 3*a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 21986] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 21987] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21988] -> a^4 - a^6 + 2*a^8 - 2*a^10 + 4*a^12 - 
   3*a^14 + 4*a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 + 11*a^12*z^2 - 
   4*a^14*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - 5*a^10*z^4 + 9*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - 2*a^8*z^6 - 4*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 21989] -> 
  a^4 - a^6 + 2*a^8 - a^10 + 2*a^12 - 2*a^14 + a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 4*a^12*z^2 - a^14*z^2 + a^2*z^4 - 
   a^6*z^4 - a^8*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 21990] -> -1 + a^(-2) + a^2 + a^4 - 
   2*a^6 + a^8 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 21991] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 21992] -> 
  -4 + a^(-8) - a^(-6) + 2/a^2 + 3*a^2 - 9*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 21993] -> 
  -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 4/a^6 - z^2/a^14 + (5*z^2)/a^12 + 
   (4*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 21994] -> -9 + 2/a^6 - 5/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   30*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 18*a^2*z^2 - 
   5*a^4*z^2 - 32*z^4 + z^4/a^6 - (12*z^4)/a^4 + (29*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 21995] -> 
  -2/a^12 + 5/a^10 - 5/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (16*z^2)/a^10 - (19*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (28*z^4)/a^8 + (18*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 21996] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 
   2/a^2 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 21997] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 3*z^2 + 12*a^2*z^2 - 19*a^4*z^2 + 
   20*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 26*a^4*z^4 + 
   25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 21998] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   z^2/a^2 - 4*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 21999] -> 
  3*a^6 - 5*a^8 + 5*a^10 - 2*a^14 + 13*a^6*z^2 - 17*a^8*z^2 + 16*a^10*z^2 + 
   8*a^12*z^2 - 7*a^14*z^2 + 16*a^6*z^4 - 23*a^8*z^4 + 11*a^10*z^4 + 
   18*a^12*z^4 - 5*a^14*z^4 + 7*a^6*z^6 - 18*a^8*z^6 - 4*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 7*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 22000] -> 
  a^4 - a^8 + 2*a^10 + a^12 - 2*a^14 + 4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 
   8*a^10*z^2 + 4*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 
   6*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22001] -> 3*a^6 - 5*a^8 + 6*a^10 - 2*a^12 - a^14 + 
   3*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 14*a^10*z^2 + a^12*z^2 - 3*a^14*z^2 + 
   4*a^4*z^4 + a^6*z^4 - 9*a^8*z^4 + 9*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 8*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 22002] -> 
  a^4 - a^8 + 3*a^10 - a^12 - a^14 + a^2*z^2 + 3*a^4*z^2 + a^8*z^2 + 
   6*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 
   2*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 22003] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   4/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22004] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   z^2 + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (20*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (22*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22005] -> -4 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 - (3*z^2)/a^8 + (18*z^2)/a^6 - (30*z^2)/a^4 + (24*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 - z^4/a^8 + (13*z^4)/a^6 - (33*z^4)/a^4 + 
   (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (16*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22006] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 - z^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22007] -> 
  4*a^6 - 8*a^8 + 9*a^10 - 3*a^12 - a^14 + 16*a^6*z^2 - 26*a^8*z^2 + 
   27*a^10*z^2 - a^12*z^2 - 4*a^14*z^2 + 17*a^6*z^4 - 31*a^8*z^4 + 
   21*a^10*z^4 + 10*a^12*z^4 - 4*a^14*z^4 + 7*a^6*z^6 - 20*a^8*z^6 + 
   a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 7*a^8*z^8 - 4*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 22008] -> 
  4*a^6 - 8*a^8 + 10*a^10 - 5*a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 10*a^8*z^2 + 
   17*a^10*z^2 - 2*a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 9*a^8*z^4 + 
   10*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22009] -> 4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 - 
   4*z^2 + 16*a^2*z^2 - 28*a^4*z^2 + 29*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 19*a^2*z^4 - 32*a^4*z^4 + 30*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 10*a^2*z^6 - 18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22010] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + 6*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 6*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22011] -> 
  2*a^4 - 3*a^6 + 3*a^8 - a^10 + 2*a^12 - 2*a^14 + 7*a^4*z^2 - 8*a^6*z^2 + 
   9*a^8*z^2 - a^10*z^2 + 7*a^12*z^2 - 3*a^14*z^2 + 5*a^4*z^4 - 9*a^6*z^4 + 
   4*a^8*z^4 - 2*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 5*a^6*z^6 - 
   2*a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22012] -> 2*a^4 - 3*a^6 + 3*a^8 - a^14 + 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 22013] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 - a^2*z^2 - 
   a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 7*a^2*z^4 - 
   11*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   10*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 22014] -> -1 + a^(-2) + a^2 + a^6 - 
   2*a^8 + a^10 - 2*z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22015] -> 
  -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 + z^2 - z^2/a^2 - 2*a^2*z^2 + 
   4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22016] -> 
  -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, Knot[15, Alternating, 22017] -> 
  a^2 - a^4 + a^6 + 2*a^12 - 2*a^14 + 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 
   2*a^8*z^2 + 5*a^12*z^2 - a^14*z^2 + a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 
   a^8*z^4 - 2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 22018] -> a^2 - a^4 + a^6 + a^10 - a^14 + 
   z^2 + a^2*z^2 + 2*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - a^10*z^4, 
 Knot[15, Alternating, 22019] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22020] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 22021] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 - z^2/a^10 + (8*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (6*z^4)/a^8 - (10*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22022] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   z^2 + a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 11*a^4*z^4 + 15*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 7*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22023] -> 
  2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 2*z^2 - 5*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22024] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 9*a^4*z^2 - 
   24*a^6*z^2 + 37*a^8*z^2 - 14*a^10*z^2 + 18*a^4*z^4 - 55*a^6*z^4 + 
   63*a^8*z^4 - 16*a^10*z^4 + 17*a^4*z^6 - 58*a^6*z^6 + 47*a^8*z^6 - 
   7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 22025] -> 
  a^2 - a^4 + 4*a^8 - 3*a^10 + 3*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   17*a^8*z^2 - 7*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 8*a^6*z^4 + 21*a^8*z^4 - 
   5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22026] -> 2*a^2 - 4*a^4 + 4*a^6 + a^8 - 2*a^10 + 
   7*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 
   23*a^4*z^4 + 7*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22027] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 12*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22028] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 - 
   a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22029] -> 1 - a^2 + a^6 + 2*a^8 - 2*a^10 + 3*z^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 7*a^2*z^4 - 
   3*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22030] -> 2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   z^2 - a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 10*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 7*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22031] -> 
  a^(-2) - a^2 + a^4 + a^6 - 2*a^8 + a^10 - 4*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22032] -> a^(-2) - a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22033] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 
   5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 22034] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 - a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22035] -> a^2 + 3*a^6 - 6*a^8 + 4*a^10 - 
   a^12 + a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + a^2*z^4 - 7*a^4*z^4 + 16*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22036] -> 
  2 - 2*a^2 + a^4 + a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22037] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - 
   a^12 + a^4*z^2 + 12*a^6*z^2 - 14*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 
   2*a^4*z^4 + 11*a^6*z^4 - 9*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 
   7*a^6*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 22038] -> 
  a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 2*a^4*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 
   6*a^10*z^2 - a^2*z^4 + 10*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 22039] -> 2 - a^2 - a^4 + 2*a^6 - 2*a^8 + 
   a^10 + z^2 - a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 4*a^2*z^4 - 11*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22040] -> 
  -a^2 + 5*a^4 - 3*a^6 + 4*z^2 - 20*a^2*z^2 + 33*a^4*z^2 - 13*a^6*z^2 + 
   16*z^4 - 52*a^2*z^4 + 61*a^4*z^4 - 16*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 
   47*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22041] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 5*z^2 - 16*a^2*z^2 + 17*a^4*z^2 - 3*a^8*z^2 + 
   8*z^4 - 22*a^2*z^4 + 12*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 
   15*a^2*z^6 - a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 22042] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 12*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 + 
   13*a^4*z^2 - 7*a^6*z^2 - 17*z^4 + (8*z^4)/a^2 + 20*a^4*z^4 - 5*a^6*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22043] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 9*a^4*z^2 - 2*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22044] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 14*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22045] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22046] -> 2 - a^(-2) + 3*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   z^2/a^2 + 11*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 15*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22047] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22048] -> a^(-2) - a^4 + 2*a^6 - 2*a^8 + a^10 - 
   4*a^2*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22049] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 22050] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 13*a^6*z^2 - 16*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 23*a^6*z^4 - 18*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 11*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22051] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 22*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22052] -> 
  a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 
   4*a^10*z^2 + z^4 - 3*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22053] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 6*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22054] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 8*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 12*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - 
   3*z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 22055] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + z^4/a^2 + 
   18*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22056] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - 
   a^4*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 4*a^4*z^4 + 
   18*a^6*z^4 - 13*a^8*z^4 - 4*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 22057] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 22058] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 
   27*z^2 - z^2/a^4 - (9*z^2)/a^2 - 13*a^2*z^2 + 57*z^4 + (12*z^4)/a^4 - 
   (39*z^4)/a^2 - 16*a^2*z^4 + 46*z^6 + (16*z^6)/a^4 - (51*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (31*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 22059] -> 
  4 - a^(-4) - 2*a^2 + 15*z^2 + z^2/a^4 - (9*z^2)/a^2 - 4*a^4*z^2 + 13*z^4 + 
   (7*z^4)/a^4 - (16*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22060] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 
   3*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22061] -> 5 - 2/a^2 - 2*a^2 + 7*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 22062] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 18*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22063] -> 
  3 - a^(-2) - a^2 + 7*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 5*a^4*z^4 - 
   a^6*z^4 - z^6 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 22064] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (3*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (10*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 22065] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2 - z^2/a^10 + (12*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (14*z^6)/a^4 - (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22066] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22067] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (12*z^2)/a^8 + (20*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 - (6*z^6)/a^8 + 
   (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22068] -> 7 - 2/a^2 - 5*a^2 + a^6 + 5*z^2 - 
   5*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 22069] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 14*z^2 + z^2/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22070] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 - z^6/a^10 - 
   z^6/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22071] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (10*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 22072] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (13*z^2)/a^8 - (20*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (15*z^4)/a^8 - (19*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 22073] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22074] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - 
   (11*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (13*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22075] -> 
  2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 + 2*z^2 - (2*z^2)/a^6 + (14*z^2)/a^4 - 
   (20*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - 
   (19*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22076] -> 
  7 - 2/a^2 - 5*a^2 + a^6 + 11*z^2 - z^2/a^2 - 13*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 + 7*z^4 - z^4/a^2 - 12*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - 
   (3*z^6)/a^2 - 2*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 22077] -> 
  2 - a^(-4) + 2/a^2 - 3*a^2 + a^6 + (3*z^2)/a^2 - 6*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - z^4 - 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 22078] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (15*z^2)/a^6 + (22*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (12*z^4)/a^6 + (20*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22079] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 25*z^2 + 
   (3*z^2)/a^4 - (17*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 22*z^4 + 
   (3*z^4)/a^4 - (15*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 6*z^6 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22080] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2 + z^2/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - z^6/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22081] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - z^2/a^10 - (14*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - (20*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 22082] -> 
  -a^(-8) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22083] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22084] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 - 3*a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 22085] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 3*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22086] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22087] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (19*z^2)/a^6 - (22*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (25*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 22088] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22089] -> -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (18*z^2)/a^8 - (22*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (24*z^4)/a^8 - (35*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (29*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 22090] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 
   3/a^2 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - (18*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (2*z^4)/a^6 - 
   (21*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22091] -> 18 - 6/a^2 - 16*a^2 + 5*a^4 + 52*z^2 - 
   (14*z^2)/a^2 - 55*a^2*z^2 + 18*a^4*z^2 + 66*z^4 - (13*z^4)/a^2 - 
   83*a^2*z^4 + 26*a^4*z^4 + 44*z^6 - (6*z^6)/a^2 - 70*a^2*z^6 + 19*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22092] -> 
  4 - 2/a^4 + 3/a^2 - 7*a^2 + 3*a^4 + 6*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   21*a^2*z^2 + 9*a^4*z^2 + z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22093] -> 9 - a^(-4) - a^(-2) - 9*a^2 + 3*a^4 + 
   16*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 23*a^2*z^2 + 8*a^4*z^2 + 9*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 + 8*a^4*z^4 - z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22094] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (18*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22095] -> 18 - 6/a^2 - 16*a^2 + 5*a^4 + 57*z^2 - 
   (15*z^2)/a^2 - 62*a^2*z^2 + 21*a^4*z^2 + 72*z^4 - (14*z^4)/a^2 - 
   93*a^2*z^4 + 29*a^4*z^4 + 46*z^6 - (6*z^6)/a^2 - 75*a^2*z^6 + 20*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22096] -> 
  4 - 2/a^4 + 3/a^2 - 7*a^2 + 3*a^4 - z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 - 
   18*a^2*z^2 + 9*a^4*z^2 - 9*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 23*a^2*z^4 + 
   10*a^4*z^4 - 10*z^6 - z^6/a^4 + (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22097] -> -10 - 4/a^4 + 12/a^2 + 2*a^2 + a^4 - 
   28*z^2 - (6*z^2)/a^4 + (27*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 31*z^4 - 
   (4*z^4)/a^4 + (25*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22098] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22099] -> -2 - a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 + a^2 - 
   8*z^2 - (3*z^2)/a^8 + (16*z^2)/a^6 - (27*z^2)/a^4 + (18*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - (33*z^4)/a^4 + 
   (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 22100] -> -7 - 2/a^4 + 7/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   21*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 22101] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22102] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22103] -> 
  10 - 4/a^2 - 6*a^2 + a^4 + 40*z^2 - (13*z^2)/a^2 - 34*a^2*z^2 + 
   10*a^4*z^2 + 60*z^4 - (13*z^4)/a^2 - 65*a^2*z^4 + 21*a^4*z^4 + 43*z^6 - 
   (6*z^6)/a^2 - 63*a^2*z^6 + 18*a^4*z^6 + 15*z^8 - z^8/a^2 - 33*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 22104] -> 5 - a^(-4) - 4*a^2 + a^4 + 10*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 16*a^2*z^2 + 6*a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 22105] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 7*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - 13*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 10*a^2*z^4 + 
   6*a^4*z^4 - 11*z^6 - z^6/a^4 + (10*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22106] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 
   z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 22107] -> -2/a^4 + 4/a^2 - 2*a^2 + a^4 - z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22108] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22109] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22110] -> -5 - 3/a^4 + 8/a^2 + a^4 - 18*z^2 - 
   (6*z^2)/a^4 + (23*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 23*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 - 14*a^2*z^4 + 9*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22111] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 13*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   3*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 22112] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22113] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 4*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 22114] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (7*z^4)/a^2 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 22115] -> 
  -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (3*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (10*z^4)/a^10 - (19*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 22116] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22117] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 
   14*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 22118] -> 2 + a^(-4) - 2/a^2 + a^2 - 
   2*a^4 + a^6 + 5*z^2 - (4*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - z^4/a^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 22119] -> -3/a^14 + 7/a^12 - 7/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (21*z^2)/a^12 - (19*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (18*z^4)/a^12 - (24*z^4)/a^10 - (13*z^4)/a^8 + 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (15*z^6)/a^10 - (13*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22120] -> -2/a^14 + 4/a^12 - 3/a^10 - a^(-8) + 3/a^6 - 
   z^2/a^14 + (9*z^2)/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22121] -> 
  -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 4/a^6 - z^2/a^14 + (6*z^2)/a^12 + 
   z^2/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 22122] -> -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 22123] -> 4*a^8 - 5*a^10 + 5*a^12 - 
   3*a^14 + 3*a^6*z^2 + 11*a^8*z^2 - 7*a^10*z^2 + 14*a^12*z^2 - 7*a^14*z^2 + 
   7*a^6*z^4 + 6*a^8*z^4 - 5*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 
   5*a^6*z^6 - 5*a^8*z^6 - 7*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 22124] -> a^6 + a^8 - a^10 + 2*a^12 - 2*a^14 + 
   a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 
   2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 22125] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 9*z^4 - z^4/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 22126] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) + z^2 + (4*z^2)/a^12 - 
   z^2/a^10 - z^2/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 22127] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   z^2 + z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22128] -> 
  2*a^6 - 2*a^8 + 3*a^10 - a^12 - a^14 + 2*a^4*z^2 + 4*a^6*z^2 + 7*a^10*z^2 + 
   a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 6*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 22129] -> 
  a^4 - a^6 + 2*a^8 - a^14 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 + 
   2*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^6*z^4 + a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 22130] -> -7 + 2/a^6 - 5/a^4 + 7/a^2 + 5*a^2 - a^4 - 
   21*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22131] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 14*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   20*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + z^4/a^2 + 23*a^2*z^4 - 
   27*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 22132] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22133] -> 2*a^6 - 2*a^8 + 3*a^10 - a^12 - a^14 + 
   a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 6*a^6*z^4 - 9*a^8*z^4 + 12*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 22134] -> -2 - 2/a^8 + 7/a^6 - 9/a^4 + 
   6/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - (23*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22135] -> 
  -4 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 22136] -> 4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 2*a^10 - 
   2*z^2 + 10*a^2*z^2 - 19*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22137] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 27*z^2 - (5*z^2)/a^4 + 
   (18*z^2)/a^2 + 25*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 30*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 22138] -> 
  4*a^6 - 8*a^8 + 11*a^10 - 7*a^12 + a^14 + 2*a^4*z^2 + 9*a^6*z^2 - 
   17*a^8*z^2 + 25*a^10*z^2 - 8*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 5*a^6*z^4 - 
   17*a^8*z^4 + 19*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   11*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22139] -> -9 + 2/a^6 - 5/a^4 + 8/a^2 + 6*a^2 - a^4 - 
   20*z^2 + z^2/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 10*a^2*z^2 - 2*a^6*z^2 - 
   14*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   7*z^6 + (5*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 22140] -> 3 + 2/a^4 - 3/a^2 - a^2 - 2*a^4 + 2*a^6 + 
   6*z^2 + z^2/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22141] -> -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   13*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22142] -> 
  1 + a^6 - 2*a^8 + a^10 + a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 22143] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 22144] -> 
  -2/a^12 + 5/a^10 - 5/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (10*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22145] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 + z^2 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22146] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22147] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 
   3/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22148] -> -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22149] -> 3*a^6 - 5*a^8 + 7*a^10 - 4*a^12 + 
   2*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 19*a^10*z^2 - 4*a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 + 5*a^6*z^4 - 14*a^8*z^4 + 16*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 11*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22150] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 19*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22151] -> 
  1 + a^6 - 2*a^8 + a^10 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 + 3*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22152] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   19*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 22153] -> 
  a^4 - a^8 + 4*a^10 - 3*a^12 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   10*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - a^6*z^4 - 
   4*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 22154] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 
   2*a^4 + a^6 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 22155] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22156] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22157] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22158] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22159] -> 
  -2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 + 2*a^2 - 6*z^2 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - 
   (5*z^4)/a^6 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + (2*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 22160] -> 2 - 3*a^2 + 4*a^4 - 2*a^6 - a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - 4*a^8*z^2 + a^10*z^2 + 4*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22161] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 3*a^2 - 3*a^4 + a^6 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 22162] -> 2*a^4 - 3*a^6 + 3*a^8 + a^10 - 2*a^12 + 
   a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 4*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 22163] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + z^2 - (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   a^4*z^2 + 2*z^4 + (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 22164] -> 
  -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 3*z^2 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 + 
   (5*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 22165] -> a^(-6) - a^(-4) + a^(-2) - 
   2*a^4 + 2*a^6 - 3*z^2 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^6*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6, Knot[15, Alternating, 22166] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 22167] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 22168] -> 
  -7 - a^(-4) + 5/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 19*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 22169] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 22170] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   2*z^2 + (6*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 22171] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + z^4 - z^4/a^10 + 
   z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22172] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (7*z^4)/a^2 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 22173] -> 
  -11 - 2/a^4 + 8/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 32*z^2 - (5*z^2)/a^4 + 
   (20*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 35*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22174] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 3*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 22175] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   a^6*z^2 - z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 22176] -> 
  2*a^4 - 5*a^6 + 9*a^8 - 5*a^10 + 9*a^4*z^2 - 27*a^6*z^2 + 44*a^8*z^2 - 
   17*a^10*z^2 + 18*a^4*z^4 - 56*a^6*z^4 + 68*a^8*z^4 - 17*a^10*z^4 + 
   17*a^4*z^6 - 58*a^6*z^6 + 48*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 22177] -> a^2 - a^4 - a^6 + 6*a^8 - 
   4*a^10 + 3*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + 
   5*a^2*z^4 - 8*a^4*z^4 - 7*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 
   9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22178] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 3*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 + 13*a^8*z^2 - 7*a^10*z^2 + 7*a^2*z^4 - 14*a^4*z^4 + 
   2*a^6*z^4 + 19*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 6*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22179] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + z^2 - 3*a^4*z^2 + 7*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22180] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22181] -> 2*a^2 - 4*a^4 + 3*a^6 + 3*a^8 - 3*a^10 + 
   7*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 + 
   9*a^2*z^4 - 23*a^4*z^4 + 7*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22182] -> 2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - a^10 + 
   2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 2*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 
   10*a^4*z^4 + 9*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22183] -> 1 - a^2 + 4*a^8 - 3*a^10 + 3*z^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 7*a^2*z^4 - 
   3*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22184] -> 1 - a^2 - a^4 + 4*a^6 - a^8 - a^10 + 
   z^2/a^2 - 2*a^2*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 22185] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 - z^4/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 22186] -> 
  a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 
   3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22187] -> 2*a^4 - a^8 + 3*a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 + 6*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + a^12*z^4 - 
   a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 22188] -> 
  1 - a^4 + 2*a^6 - a^8 - z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + 2*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6/a^2 - a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22189] -> 
  2*a^4 - a^8 + a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + z^4 + a^2*z^4 - 
   8*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - a^10*z^4 + z^6 - 7*a^4*z^6 + 
   4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22190] -> -2*a^2 + 7*a^4 - 4*a^6 + 4*z^2 - 
   19*a^2*z^2 + 32*a^4*z^2 - 12*a^6*z^2 + 12*z^4 - 41*a^2*z^4 + 50*a^4*z^4 - 
   13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 22191] -> -3 + a^(-2) + 2*a^2 + 4*a^4 - 
   3*a^6 - 11*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 
   14*z^4 + (6*z^4)/a^2 + 16*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22192] -> 
  -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22193] -> 
  a^(-2) - a^2 + a^4 - z^2/a^8 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22194] -> 3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22195] -> -3 + a^(-2) + 4*a^2 - a^6 - 
   4*z^2 + z^2/a^4 + 3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 22196] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 
   2*a^10*z^2 - z^4 + 3*a^2*z^4 - 11*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 22197] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 
   4*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22198] -> 1 - a^2 + 2*a^4 - a^6 + z^2 + 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 9*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 22199] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   9*z^2 + z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22200] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 
   2*a^4 - 15*z^2 + z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 22201] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 22202] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 - z^4 + z^4/a^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22203] -> 1 - 4*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22204] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 22205] -> 2*a^4 - a^6 + a^8 - a^10 + 
   3*a^4*z^2 + 3*a^6*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - a^4*z^4 + 6*a^6*z^4 - 
   2*a^8*z^4 - 7*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 22206] -> 
  a^2 + a^8 - a^10 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^12*z^2 - 
   a^2*z^4 + a^4*z^4 + a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 22207] -> 
  1 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22208] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 + (3*z^4)/a^2 + 
   7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - z^6/a^2 + 2*a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 22209] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 - z^2/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22210] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 + 2*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22211] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 - 3*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 + 
   2*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 22212] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22213] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22214] -> 
  3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 
   11*a^8*z^2 + 5*a^10*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 12*a^6*z^4 - 
   9*a^8*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 22215] -> -1 - 2/a^8 + a^(-6) + 2/a^4 + a^(-2) - 
   4*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (8*z^4)/a^6 + (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22216] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22217] -> 
  -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (12*z^4)/a^6 + 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 22218] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 22219] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (9*z^4)/a^6 + (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22220] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22221] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - 
   5*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 22222] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   7*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22223] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 
   26*z^2 - z^2/a^4 - (8*z^2)/a^2 - 12*a^2*z^2 + 46*z^4 + (8*z^4)/a^4 - 
   (28*z^4)/a^2 - 13*a^2*z^4 + 37*z^6 + (12*z^6)/a^4 - (38*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 22224] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 15*z^2 + z^2/a^4 - (8*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 13*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22225] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 15*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22226] -> 2*a^4 - a^6 + a^8 - a^10 + 4*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 + 5*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 22227] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4 + 3*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6/a^2 - a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22228] -> a^4 + 2*a^6 - 2*a^8 - a^4*z^2 + 11*a^6*z^2 - 
   5*a^8*z^2 + z^4 + a^2*z^4 - 7*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - a^10*z^4 + 
   z^6 - 7*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22229] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + 
   4*a^4*z^2 + 4*a^6*z^2 - 11*a^8*z^2 + 6*a^10*z^2 - a^2*z^4 + 8*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 22230] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   z^2 - z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22231] -> 
  -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22232] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 22233] -> 7 - 3/a^2 - 3*a^2 + 12*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 22234] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22235] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22236] -> 
  a^(-2) - 2*a^4 + 4*a^6 - 3*a^8 + a^10 - a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 22237] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22238] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   7*z^2 + z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 22239] -> 
  -a^(-4) + 2/a^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22240] -> -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (12*z^2)/a^8 - (9*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 
   (5*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 22241] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22242] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (12*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22243] -> -a^(-10) + 6/a^8 - 10/a^6 + 5/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (15*z^2)/a^8 - (21*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^10 + (16*z^4)/a^8 - (16*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 22244] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 + 
   3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22245] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22246] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (10*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22247] -> 2 + 3/a^4 - 5/a^2 + a^2 - z^2/a^6 + 
   (9*z^2)/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (5*z^4)/a^6 + 
   (13*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22248] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + a^(-8) + 2/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (15*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (15*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22249] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (13*z^2)/a^14 + (3*z^2)/a^12 + (14*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (7*z^4)/a^14 + (12*z^4)/a^12 + 
   (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 22250] -> 
  a^(-6) - a^(-4) + a^2 - 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22251] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^10 + 
   (5*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 - z^6/a^10 + z^6/a^8 + z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22252] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^8 + 
   (6*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (6*z^6)/a^4 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 22253] -> 5 - a^(-2) - 4*a^2 + a^6 + 9*z^2 - z^2/a^2 - 
   11*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 - 
   9*a^4*z^4 + 4*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 - a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 22254] -> 3 - 3*a^2 + a^6 + 2*z^2 + z^2/a^2 - 
   7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 6*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 22255] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 19*z^2 + (2*z^2)/a^4 - (13*z^2)/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 18*z^4 + (3*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 
   3*a^4*z^4 + 5*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22256] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 - 
   (6*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 9*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 22257] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^6 + 
   (6*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22258] -> 
  9 - 2/a^2 - 9*a^2 + 2*a^4 + a^6 + 15*z^2 - (2*z^2)/a^2 - 20*a^2*z^2 + 
   4*a^6*z^2 + 10*z^4 - (2*z^4)/a^2 - 15*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 
   6*z^6 - (3*z^6)/a^2 - 2*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 22259] -> 
  2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 - 2*z^2 + (3*z^2)/a^8 - (19*z^2)/a^6 + 
   (29*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (23*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 + 
   (6*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (2*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 22260] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22261] -> 1 - 2/a^10 + 5/a^8 - 2/a^6 - 3/a^4 + 2/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (13*z^2)/a^8 - (8*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (12*z^4)/a^8 - (15*z^4)/a^6 - 
   (16*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (11*z^6)/a^4 - 
   (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22262] -> -2 - a^(-4) + 4/a^2 - a^2 + a^6 - 7*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 22263] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 14*z^2 + 
   (2*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 12*z^4 + z^4/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 22264] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 
   2/a^2 + 3*z^2 - z^2/a^10 + z^2/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - 
   (21*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22265] -> a^(-14) - 3/a^12 + 3/a^10 - 3/a^8 + 2/a^6 + 
   a^(-4) - z^2/a^14 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22266] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 22267] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (8*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   z^6/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 22268] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + 
   a^2 - z^2/a^6 + (10*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22269] -> 5 - 2/a^2 - 2*a^2 + 15*z^2 + (3*z^2)/a^4 - 
   (12*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 15*z^4 + (4*z^4)/a^4 - 
   (15*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 4*z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 22270] -> -a^(-4) + 2/a^2 - z^2 + 
   z^2/a^8 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 22271] -> 
  -2/a^6 + 3/a^4 - z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - 2*z^4 + 
   (4*z^4)/a^8 - (13*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (9*z^6)/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22272] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22273] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22274] -> 11 - a^(-4) - 2/a^2 - 10*a^2 + 3*a^4 + 
   24*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 26*a^2*z^2 + 8*a^4*z^2 + 19*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 27*a^2*z^4 + 8*a^4*z^4 + 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 15*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22275] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 4*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22276] -> 17 - 6/a^2 - 14*a^2 + 4*a^4 + 48*z^2 - 
   (13*z^2)/a^2 - 49*a^2*z^2 + 16*a^4*z^2 + 64*z^4 - (13*z^4)/a^2 - 
   79*a^2*z^4 + 25*a^4*z^4 + 44*z^6 - (6*z^6)/a^2 - 69*a^2*z^6 + 19*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22277] -> 
  6 - 2/a^4 + 2/a^2 - 8*a^2 + 3*a^4 + 12*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   23*a^2*z^2 + 9*a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 27*a^2*z^4 + 
   10*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22278] -> 9 - 4/a^2 - 4*a^2 + 36*z^2 - (12*z^2)/a^2 - 
   28*a^2*z^2 + 8*a^4*z^2 + 58*z^4 - (13*z^4)/a^2 - 61*a^2*z^4 + 20*a^4*z^4 + 
   43*z^6 - (6*z^6)/a^2 - 62*a^2*z^6 + 18*a^4*z^6 + 15*z^8 - z^8/a^2 - 
   33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 22279] -> 4 - a^(-4) - 2*a^2 + 4*z^2 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - 3*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 - 
   16*a^2*z^4 + 8*a^4*z^4 - 8*z^6 - z^6/a^4 + (10*z^6)/a^2 - 14*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22280] -> 7 - a^(-4) - a^(-2) - 5*a^2 + a^4 + 16*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 18*a^2*z^2 + 6*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 23*a^2*z^4 + 9*a^4*z^4 - 3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 22281] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 - z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 - 6*z^4 - z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 22282] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 9*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22283] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 22284] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 22285] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 7*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   13*a^2*z^2 + 5*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 18*a^2*z^4 + 
   7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22286] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 22287] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 21*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 - 11*a^2*z^4 + 
   8*a^4*z^4 - 15*z^6 - z^6/a^4 + (11*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 
   6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22288] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   6*z^2 - z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 
   10*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 22289] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (9*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22290] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 22291] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 
   4/a^4 + z^2 - (5*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22292] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 9*a^2*z^2 - 
   11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22293] -> -a^(-14) + a^(-12) + 2/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 + z^2/a^10 - (10*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (4*z^4)/a^10 - 
   (13*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22294] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22295] -> -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 
   4/a^4 + 3/a^2 + z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (7*z^4)/a^8 + (11*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22296] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22297] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   13*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 9*z^4 - (10*z^4)/a^4 + (20*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 - z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 22298] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 + 
   (5*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + 
   z^4 - (9*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22299] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22300] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 
   8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 22301] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22302] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   12*z^2 - z^2/a^6 + (10*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22303] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^6 + (5*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 22304] -> 
  -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (12*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 22305] -> 4*a^8 - 4*a^10 + 3*a^12 - 
   2*a^14 + 2*a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 + 12*a^12*z^2 - 7*a^14*z^2 + 
   7*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 
   5*a^6*z^6 - 5*a^8*z^6 - 7*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 22306] -> a^6 + 2*a^8 - 3*a^10 + 3*a^12 - 2*a^14 + 
   6*a^6*z^2 + 4*a^8*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 + 
   3*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22307] -> a^6 + a^8 - a^14 + a^4*z^2 + 4*a^6*z^2 + 
   3*a^8*z^2 + 5*a^10*z^2 + 2*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 6*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22308] -> 2*a^6 - a^8 + a^10 - a^14 + 2*a^4*z^2 + 
   4*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   2*a^4*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 22309] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (5*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (9*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22310] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 + z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22311] -> 
  -a^(-10) - a^(-8) + 6/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (16*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22312] -> 
  1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22313] -> 
  2*a^6 - a^8 + a^10 - a^14 + 8*a^6*z^2 - 3*a^8*z^2 + 8*a^10*z^2 - 
   2*a^14*z^2 + a^4*z^4 + 8*a^6*z^4 - 7*a^8*z^4 + 10*a^10*z^4 + 3*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 + a^6*z^6 - 8*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 22314] -> 
  2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   13*a^10*z^2 - 3*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 6*a^6*z^4 - 
   8*a^8*z^4 + 13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22315] -> -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 
   2*a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22316] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 + z^2 + (8*z^2)/a^6 - (6*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 22317] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22318] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 22319] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   17*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22320] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 22321] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 
   3*a^4 + a^6 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22322] -> -4 - 2/a^8 + 5/a^6 - 7/a^4 + 8/a^2 + a^2 - 
   12*z^2 - (4*z^2)/a^8 + (15*z^2)/a^6 - (20*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (26*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (16*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 22323] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22324] -> 3*a^6 - 5*a^8 + 8*a^10 - 6*a^12 + a^14 + 
   a^4*z^2 + 9*a^6*z^2 - 14*a^8*z^2 + 23*a^10*z^2 - 7*a^12*z^2 - 2*a^14*z^2 + 
   3*a^4*z^4 + 7*a^6*z^4 - 16*a^8*z^4 + 19*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 12*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 22325] -> 
  a^4 + 2*a^10 - 2*a^12 + 4*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 7*a^10*z^2 - 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + 
   6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 22326] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22327] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22328] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 22329] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 14*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22330] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22331] -> a^(-6) - a^(-4) + a^2 - z^2 - 
   (2*z^2)/a^4 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22332] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 6*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   7*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 22333] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22334] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22335] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 22336] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 22337] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (8*z^4)/a^8 + (8*z^4)/a^6 - 
   (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22338] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 22339] -> -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 
   2*a^2 - 12*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 22340] -> a^(-2) - a^2 + a^4 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22341] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22342] -> -8 + 4/a^2 + 8*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   19*z^2 + (4*z^2)/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22343] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 7*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   5*a^2*z^2 + a^6*z^2 - a^8*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   2*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22344] -> a^4 + 2*a^8 - 2*a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 
   2*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22345] -> 
  a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + z^2 - 3*a^4*z^2 + 8*a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22346] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 6*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22347] -> a^2 - a^4 + 4*a^8 - 3*a^10 + 2*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 
   7*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22348] -> 
  2*a^2 - 4*a^4 + 4*a^6 + a^8 - 2*a^10 + 5*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22349] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + z^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 2*z^4 + 
   a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22350] -> 1 - a^2 + a^6 + 2*a^8 - 2*a^10 + 2*z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22351] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 2*z^2 + 
   z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22352] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22353] -> 
  -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 22354] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 15*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   16*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22355] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 
   2*a^2 - 7*z^2 - z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22356] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 12*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 22357] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 22358] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 15*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22359] -> -2 - a^(-8) + 4/a^2 - z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22360] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22361] -> -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 22362] -> 7 - 3/a^2 - 5*a^2 + 4*a^4 - 
   2*a^6 + 13*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 + 7*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 22363] -> 
  -3*a^2 + 9*a^4 - 5*a^6 + 4*z^2 - 23*a^2*z^2 + 41*a^4*z^2 - 16*a^6*z^2 + 
   16*z^4 - 53*a^2*z^4 + 66*a^4*z^4 - 17*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 
   48*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22364] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 + 11*a^4*z^2 - 
   7*a^6*z^2 - 14*z^4 + (7*z^4)/a^2 + 3*a^2*z^4 + 19*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + (5*z^6)/a^2 - 6*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22365] -> 1 - 4*a^2 + 7*a^4 - 2*a^6 - a^8 + 5*z^2 - 
   17*a^2*z^2 + 19*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 22*a^2*z^4 + 
   13*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 22366] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22367] -> -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 12*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + 17*a^4*z^2 - 8*a^6*z^2 - 17*z^4 + (8*z^4)/a^2 + 
   21*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 11*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22368] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 10*z^2 + 
   z^2/a^4 + 15*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 9*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 22369] -> -2 + a^(-2) + 4*a^4 - a^6 - a^8 - 6*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22370] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   5*z^2 + z^2/a^4 + 3*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 4*z^4 + 
   z^4/a^4 - a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 22371] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   3*z^2 + z^2/a^2 + a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 22372] -> -1 + 3*a^2 - a^6 - 3*z^2 + 
   z^2/a^2 + 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22373] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   z^2 + a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 9*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 22374] -> 2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 + 
   3*a^4*z^2 + 3*a^6*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - a^4*z^4 + 6*a^6*z^4 - 
   2*a^8*z^4 - 7*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 22375] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22376] -> 1 - a^(-2) + 2*a^2 - a^6 - 5*z^2 + 
   12*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 + 2*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22377] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22378] -> a^2 + a^6 - a^8 + a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + a^12*z^2 - a^2*z^4 + a^4*z^4 + a^6*z^4 - 4*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 22379] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - z^4 + 3*a^2*z^4 - 
   11*a^4*z^4 + 12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 
   9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 22380] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 22381] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 + z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^4 - z^6/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 22382] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   4*z^2 + z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22383] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2/a^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22384] -> a^4 + 3*a^6 - 4*a^8 + a^10 + a^2*z^2 - 
   3*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 + 
   a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 22385] -> -1 - a^(-6) + 3/a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22386] -> 2 - a^(-2) + a^2 - a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22387] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 22388] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22389] -> 
  1 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   10*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22390] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 11*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22391] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22392] -> 1 - a^(-6) + a^(-4) + a^2 - a^4 - 4*z^2 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22393] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22394] -> 7 - 2/a^4 - 4*a^2 + 27*z^2 - z^2/a^4 - 
   (8*z^2)/a^2 - 12*a^2*z^2 + 46*z^4 + (8*z^4)/a^4 - (28*z^4)/a^2 - 
   13*a^2*z^4 + 37*z^6 + (12*z^6)/a^4 - (38*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 22395] -> 5 - a^(-4) - a^(-2) - a^2 - 
   a^4 + 15*z^2 + z^2/a^4 - (8*z^2)/a^2 - 3*a^4*z^2 + 13*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 22396] -> -3/a^4 + 5/a^2 - a^2 - 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22397] -> 
  4 - a^(-4) - 2*a^2 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22398] -> 4 - 2/a^2 - a^4 + 10*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22399] -> 5 + a^(-4) - 4/a^2 - a^4 + 7*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22400] -> 6 - 3/a^2 - a^2 - a^4 + 11*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22401] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22402] -> 1 - 2/a^4 + 3/a^2 - a^2 - z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22403] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22404] -> 3/a^12 - 8/a^10 + 2/a^8 + 6/a^6 - 2/a^4 + 
   (4*z^2)/a^12 - (20*z^2)/a^10 + (13*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (22*z^4)/a^10 + (26*z^4)/a^8 + (19*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 22405] -> -a^(-10) + a^(-6) + a^(-4) + 
   z^2/a^12 - (5*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22406] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22407] -> 1 - a^(-2) + 4*a^4 - 3*a^6 - 3*z^2 - 
   z^2/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + z^4/a^2 + 
   12*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22408] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 10*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + z^4/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22409] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22410] -> 
  1 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22411] -> 
  6 - 3/a^2 - a^2 - a^4 + 7*z^2 - z^2/a^4 - z^2/a^2 - a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22412] -> 
  4 - a^(-8) + 2/a^6 - 3/a^2 - a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22413] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22414] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22415] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 6*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22416] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 
   3*z^2 + z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 22417] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 31*z^2 - (11*z^2)/a^2 - 20*a^2*z^2 + 5*a^4*z^2 + 
   52*z^4 - (12*z^4)/a^2 - 51*a^2*z^4 + 17*a^4*z^4 + 41*z^6 - (6*z^6)/a^2 - 
   57*a^2*z^6 + 17*a^4*z^6 + 15*z^8 - z^8/a^2 - 32*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22418] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 12*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   12*a^2*z^2 + 4*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 19*a^2*z^4 + 
   8*a^4*z^4 - 3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22419] -> 4 - 2/a^4 + 2/a^2 - 4*a^2 + a^4 + 7*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 22420] -> 
  4 - 2/a^4 + 2/a^2 - 4*a^2 + a^4 + 5*z^2 - z^2/a^6 + (4*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 22421] -> 
  3 - a^(-6) + a^(-4) - 3*a^2 + a^4 + 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 22422] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   11*z^4 - z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 22423] -> -2 + a^(-8) - 3/a^6 + 4/a^4 - a^(-2) + 
   2*a^2 - 7*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + a^2*z^2 + a^4*z^2 - 
   5*z^4 - z^4/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 22424] -> 
  -3/a^10 + 4/a^8 - a^(-4) + a^(-2) - (5*z^2)/a^10 + (14*z^2)/a^8 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - (7*z^4)/a^10 + (17*z^4)/a^8 + z^4/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 22425] -> 
  -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22426] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22427] -> 
  4*a^8 - 3*a^10 + a^12 - a^14 + a^6*z^2 + 13*a^8*z^2 - 4*a^10*z^2 + 
   8*a^12*z^2 - 6*a^14*z^2 + 6*a^6*z^4 + 9*a^8*z^4 - 2*a^10*z^4 + 
   17*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 4*a^8*z^6 - 6*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 22428] -> 
  a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 5*a^6*z^2 + 5*a^8*z^2 + a^10*z^2 + 
   3*a^12*z^2 - 3*a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 4*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22429] -> 2*a^6 - a^10 + a^12 - a^14 + 6*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 + 
   a^8*z^4 + 4*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 22430] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22431] -> 
  a^4 + a^8 - a^10 + a^12 - a^14 + 2*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 + 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 + a^6*z^4 + a^8*z^4 + a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 22432] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22433] -> 
  2*a^6 - a^10 + a^12 - a^14 + a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 + 
   a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4 + a^8*z^4 + 
   3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 22434] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22435] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + 
   a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22436] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 - z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - (17*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 22437] -> a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22438] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22439] -> -6 + 3/a^2 + 6*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   16*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   20*z^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22440] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   5*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + z^4/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22441] -> 
  a^4 + a^6 - a^10 + a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 
   4*a^10*z^2 + 4*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22442] -> a^2 - a^4 + 2*a^6 - a^10 + a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22443] -> 
  2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22444] -> 1 - a^2 + a^4 - a^6 + 3*a^8 - 2*a^10 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22445] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   4*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - 
   z^4/a^6 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 22446] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22447] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 14*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 18*z^4 + (5*z^4)/a^2 + 19*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 22448] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 5*z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22449] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22450] -> -5 + 3/a^2 + 5*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   16*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   20*z^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22451] -> -a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   3/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (8*z^4)/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22452] -> a^(-6) - a^(-4) + a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22453] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + z^2 + z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22454] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 2*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22455] -> -8 + 4/a^2 + 9*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   19*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   16*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22456] -> 
  3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 7*z^2 + z^2/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 8*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 22457] -> 
  a^(-2) - 3*a^4 + 5*a^6 - 2*a^8 - z^2 + 4*a^2*z^2 - 13*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 12*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22458] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   8*a^2*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 22459] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 - (6*z^4)/a^4 + (11*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 22460] -> 
  -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + z^2/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 9*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22461] -> 
  3*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 - a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 22462] -> -3 + a^(-2) + 2*a^2 + 4*a^4 - 
   3*a^6 - 9*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   12*z^4 + (5*z^4)/a^2 + a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22463] -> 
  -2 + a^(-2) + a^2 + 2*a^4 - a^8 - 4*z^2 + (2*z^2)/a^2 - a^2*z^2 + 
   6*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22464] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22465] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 10*z^4 - z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 22466] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 14*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22467] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   15*z^4 + z^4/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   11*z^6 + z^6/a^4 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 22468] -> -2 - 2/a^8 + 3/a^6 - 3/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 + (4*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22469] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22470] -> 
  -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - 
   z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 22471] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 22472] -> 
  -5 - a^(-6) + 2/a^4 + a^(-2) + 6*a^2 - 2*a^4 - 16*z^2 + z^2/a^4 + 
   (5*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22473] -> 2 - 2*a^2 + a^4 - 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22474] -> 5 - 2/a^2 - a^2 - 3*a^4 + 3*a^6 - 
   a^8 + 5*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 22475] -> -6 - 4/a^4 + 9/a^2 + 3*a^2 - a^4 - 17*z^2 - 
   (7*z^2)/a^4 + (21*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22476] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 22477] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 38*z^2 - z^2/a^4 - (13*z^2)/a^2 - 17*a^2*z^2 + 
   63*z^4 + (12*z^4)/a^4 - (40*z^4)/a^2 - 17*a^2*z^4 + 47*z^6 + 
   (16*z^6)/a^4 - (51*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (31*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 22478] -> -2 - 5/a^4 + 9/a^2 - a^2 + 4*z^2 + z^2/a^6 - 
   (11*z^2)/a^4 + (18*z^2)/a^2 - 6*a^2*z^2 + 16*z^4 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - 
   (12*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 22479] -> 
  7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 18*z^2 + z^2/a^4 - (10*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 14*z^4 + (7*z^4)/a^4 - (16*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 - z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22480] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 9*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 22481] -> 5 - 3/a^2 + a^2 - 2*a^4 + 12*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (5*z^4)/a^4 - 
   (12*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22482] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 10*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 22483] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + z^4/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22484] -> 5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 22485] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 8*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 22486] -> 
  4 - 2/a^2 - a^2 + a^4 - a^6 + 8*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 5*a^4*z^4 - 
   a^6*z^4 - z^6 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 22487] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   2*a^2*z^2 - a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 22488] -> 2 - 5*a^2 + 6*a^4 - a^6 - a^8 + 2*z^2 - 
   11*a^2*z^2 + 13*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 11*a^2*z^4 + 
   8*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 22489] -> -1 + a^(-2) - a^2 + 3*a^4 - 
   a^8 - 2*z^2 - a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22490] -> 
  -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 7*a^2*z^2 - 
   14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 18*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22491] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22492] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 
   2*z^2 + 3*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22493] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 22494] -> 
  -4 + 2/a^2 + 6*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 13*z^2 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22495] -> 4 + a^(-4) - 2/a^2 - 5*a^2 + 
   3*a^4 + a^6 - a^8 + 6*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   5*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 22496] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22497] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22498] -> 1 - 2/a^10 + 4/a^8 - 2/a^6 + 2*z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22499] -> 
  1 + a^(-2) - 3*a^2 + 4*a^6 - 2*a^8 - 3*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 - 
   7*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22500] -> 2 - a^(-10) + a^(-8) + a^(-6) - 2/a^2 + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22501] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 2/a^2 + a^2 - z^2 + (2*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22502] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^8 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22503] -> a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 22504] -> -2 + 2/a^2 + 2*a^6 - a^8 - 3*z^2 + z^2/a^4 - 
   2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 22505] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 2*a^2 + 2*a^4 - a^6 - 12*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 22506] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22507] -> 
  1 - a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22508] -> 2 - a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 
   5/a^4 + 3*z^2 + (6*z^2)/a^10 - (14*z^2)/a^8 + (16*z^2)/a^6 - 
   (11*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (11*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22509] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22510] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   z^2 + z^2/a^10 - (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22511] -> 
  -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 3*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^4 + (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22512] -> 
  -2 + 2/a^2 + a^2 - 3*a^4 + 5*a^6 - 2*a^8 - 7*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22513] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 
   a^4 + 2*a^6 - a^8 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 22514] -> -4 - a^(-4) + 4/a^2 + a^2 + 
   2*a^4 - a^6 - 8*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 22515] -> 
  -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 22516] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 22517] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 6*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 22518] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22519] -> -4 + 2/a^2 + 5*a^2 - 2*a^4 - a^6 + a^8 - 
   9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 22520] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 15*a^4*z^2 + 16*a^6*z^2 - 
   a^8*z^2 - 2*a^10*z^2 + 7*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22521] -> -5 + a^(-2) + 12*a^2 - 12*a^4 + 7*a^6 - 
   2*a^8 - 19*z^2 + (5*z^2)/a^2 + 32*a^2*z^2 - 26*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 27*z^4 + (7*z^4)/a^2 + 34*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 22522] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + z^2 + 3*a^2*z^2 - 13*a^4*z^2 + 18*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 + 2*z^4 + a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22523] -> 
  -1 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 - a^2 + a^4 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22524] -> 1 - 2/a^10 + 4/a^8 - 3/a^6 + 2/a^4 - 
   a^(-2) + 3*z^2 - z^2/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22525] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22526] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 22527] -> -4 + 2/a^6 - 4/a^4 + 5/a^2 + 
   a^2 + a^4 - 12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 10*z^4 - z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 22528] -> 
  -2 + 2/a^2 + a^2 - 2*a^4 + 3*a^6 - a^8 - 6*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 
   15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22529] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22530] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22531] -> 6*a^2 - 12*a^4 + 12*a^6 - 7*a^8 + 2*a^10 - 
   2*z^2 + 13*a^2*z^2 - 28*a^4*z^2 + 26*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 27*a^4*z^4 + 24*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22532] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 + 3*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 22533] -> -4 + a^(-2) + 8*a^2 - 7*a^4 + 
   5*a^6 - 2*a^8 - 13*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 20*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 23*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22534] -> 1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 
   3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22535] -> -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 
   19*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22536] -> -7 - a^(-4) + 4/a^2 + 9*a^2 - 5*a^4 + a^6 - 
   24*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 28*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 22537] -> 
  -11 + 2/a^6 - 6/a^4 + 10/a^2 + 8*a^2 - 2*a^4 - 26*z^2 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (23*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (24*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 22538] -> 
  -3 + a^(-8) - a^(-6) + 2/a^2 + a^2 + a^4 - 7*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 22539] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 - a^4 + 3*a^6 - a^8 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 22540] -> 
  -2/a^14 + 7/a^12 - 8/a^10 + 4/a^8 - 4/a^6 + 4/a^4 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (14*z^2)/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22541] -> -2/a^14 + 7/a^12 - 7/a^10 - a^(-8) + 3/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (15*z^2)/a^12 - (18*z^2)/a^10 + z^2/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (16*z^4)/a^10 - 
   (2*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 22542] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) + (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22543] -> 
  7 - 4/a^2 + a^2 - 4*a^4 + a^6 + 22*z^2 - (10*z^2)/a^2 + 3*a^2*z^2 - 
   17*a^4*z^2 + 7*a^6*z^2 + 27*z^4 - (6*z^4)/a^2 - 3*a^2*z^4 - 24*a^4*z^4 + 
   11*a^6*z^4 + 13*z^6 - z^6/a^2 - 10*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 22544] -> 5 - a^(-4) - a^(-2) - 3*a^4 + a^6 + 12*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 9*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22545] -> 3 - 2/a^4 + 2/a^2 - a^2 - 2*a^4 + a^6 + 
   8*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 
   5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 9*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22546] -> 3 - 2/a^4 + 2/a^2 - a^2 - 2*a^4 + a^6 + 
   4*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 22547] -> 2 - a^(-6) + a^(-4) - 2*a^4 + a^6 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 
   z^4 + (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 22548] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22549] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2 - z^2/a^10 - z^2/a^8 + 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22550] -> 13 - 6/a^2 - 3*a^2 - 6*a^4 + 3*a^6 + 
   31*z^2 - (11*z^2)/a^2 - 7*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 + 30*z^4 - 
   (6*z^4)/a^2 - 11*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - z^6/a^2 - 
   12*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 22551] -> 
  6 - 2/a^4 + a^(-2) - 3*a^2 - 3*a^4 + 2*a^6 + 11*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 9*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22552] -> 1 - 3/a^4 + 5/a^2 - 2*a^2 - a^4 + a^6 + 
   2*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   z^4/a^4 + (9*z^4)/a^2 - 12*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22553] -> -a^(-6) + 3/a^2 - a^2 - a^4 + a^6 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 22554] -> 
  8 - a^(-4) - 2/a^2 - 2*a^2 - 4*a^4 + 2*a^6 + 17*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 8*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 11*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22555] -> 13 - 6/a^2 - 3*a^2 - 6*a^4 + 3*a^6 + 
   31*z^2 - (11*z^2)/a^2 - 7*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 + 30*z^4 - 
   (6*z^4)/a^2 - 11*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - z^6/a^2 - 
   12*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 22556] -> 
  6 - 2/a^4 + a^(-2) - 3*a^2 - 3*a^4 + 2*a^6 + 11*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 9*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22557] -> -1 - 4/a^4 + 8/a^2 - 3*a^2 + a^6 - 2*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 9*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 - 12*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22558] -> -1 - 2/a^6 + 3/a^4 + a^(-2) - a^4 + a^6 - 
   3*z^2 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 22559] -> -a^(-8) + a^(-6) + a^(-4) - a^4 + a^6 - 
   z^2 + (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   2*z^4 - z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4, 
 Knot[15, Alternating, 22560] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (4*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (21*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (23*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 22561] -> a^(-12) - 4/a^10 + 4/a^8 - 
   3/a^6 + 4/a^4 - a^(-2) + z^2/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22562] -> -3*a^6 + 14*a^8 - 13*a^10 + 3*a^12 - 
   10*a^6*z^2 + 50*a^8*z^2 - 37*a^10*z^2 + 7*a^12*z^2 - 3*a^4*z^4 - 
   9*a^6*z^4 + 63*a^8*z^4 - 38*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + a^6*z^6 + 
   40*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 22563] -> 
  -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 2*a^12 - 3*a^4*z^2 + 10*a^6*z^2 + 
   14*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 14*a^6*z^4 + 
   13*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 7*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 22564] -> -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 
   5*a^4*z^2 + 19*a^6*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   19*a^6*z^4 + 4*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 22565] -> -a^2 + 3*a^4 - a^6 + 3*a^8 - 4*a^10 + a^12 - 
   2*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - 
   z^4 - a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 22566] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22567] -> -2*a^6 + 11*a^8 - 10*a^10 + 2*a^12 - 
   7*a^6*z^2 + 41*a^8*z^2 - 29*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 - 
   5*a^6*z^4 + 54*a^8*z^4 - 32*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   3*a^6*z^6 + 36*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 22568] -> -a^4 + 3*a^6 + 3*a^8 - 5*a^10 + a^12 - 
   3*a^4*z^2 + 12*a^6*z^2 + 8*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 16*a^6*z^4 + 8*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 22569] -> 
  -a^6 + 9*a^8 - 9*a^10 + 2*a^12 + a^6*z^2 + 22*a^8*z^2 - 17*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 + 5*a^6*z^4 + 19*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 22570] -> 
  -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 + 9*a^6*z^2 + 3*a^8*z^2 - 5*a^10*z^2 + 
   a^12*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 22571] -> -a^6 + 8*a^8 - 7*a^10 + a^12 - 5*a^6*z^2 + 
   35*a^8*z^2 - 24*a^10*z^2 + 4*a^12*z^2 - 3*a^4*z^4 - 5*a^6*z^4 + 
   49*a^8*z^4 - 29*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 2*a^6*z^6 + 
   34*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 22572] -> 
  6*a^8 - 6*a^10 + a^12 - a^4*z^2 + 6*a^6*z^2 + 13*a^8*z^2 - 11*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 11*a^6*z^4 + 11*a^8*z^4 - 9*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 22573] -> 
  -a^6 + 9*a^8 - 9*a^10 + 2*a^12 - 4*a^6*z^2 + 33*a^8*z^2 - 24*a^10*z^2 + 
   4*a^12*z^2 - 4*a^4*z^4 - a^6*z^4 + 43*a^8*z^4 - 27*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 4*a^6*z^6 + 30*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 22574] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 4*a^6*z^2 + 
   13*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 + 
   13*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 22575] -> a^4 - a^6 + 5*a^8 - 5*a^10 + a^12 + 
   3*a^4*z^2 + 9*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 + 2*a^4*z^4 + 
   a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 22576] -> a^(-10) - 4/a^8 + 9/a^6 - 
   11/a^4 + 6/a^2 - 4*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (24*z^2)/a^6 - 
   (30*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (26*z^4)/a^6 - (32*z^4)/a^4 + (19*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 22577] -> 
  -3/a^14 + 10/a^12 - 13/a^10 + 5/a^8 + 2/a^6 - (7*z^2)/a^14 + 
   (34*z^2)/a^12 - (42*z^2)/a^10 + (9*z^2)/a^8 + (13*z^2)/a^6 - 
   (5*z^4)/a^14 + (40*z^4)/a^12 - (58*z^4)/a^10 - z^4/a^8 + (16*z^4)/a^6 - 
   z^6/a^14 + (19*z^6)/a^12 - (42*z^6)/a^10 - (10*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (15*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 22578] -> -2/a^14 + 6/a^12 - 6/a^10 - 
   a^(-8) + 4/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - (11*z^2)/a^10 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (12*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 22579] -> 
  -a^(-14) + 2/a^12 + a^(-10) - 7/a^8 + 6/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 + 
   z^2/a^10 - (17*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (4*z^4)/a^10 - (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 22580] -> 
  4*a^4 - 12*a^6 + 17*a^8 - 8*a^10 + 18*a^4*z^2 - 54*a^6*z^2 + 70*a^8*z^2 - 
   24*a^10*z^2 + 30*a^4*z^4 - 94*a^6*z^4 + 97*a^8*z^4 - 22*a^10*z^4 + 
   23*a^4*z^6 - 83*a^6*z^6 + 61*a^8*z^6 - 8*a^10*z^6 + 8*a^4*z^8 - 
   40*a^6*z^8 + 18*a^8*z^8 - a^10*z^8 + a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 22581] -> a^2 - 5*a^6 + 11*a^8 - 6*a^10 + 
   5*a^2*z^2 - 5*a^4*z^2 - 10*a^6*z^2 + 30*a^8*z^2 - 11*a^10*z^2 + 
   8*a^2*z^4 - 13*a^4*z^4 - 14*a^6*z^4 + 30*a^8*z^4 - 6*a^10*z^4 + 
   5*a^2*z^6 - 13*a^4*z^6 - 13*a^6*z^6 + 13*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22582] -> 2*a^2 - 4*a^4 + 2*a^6 + 5*a^8 - 4*a^10 + 
   7*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 9*a^2*z^4 - 
   20*a^4*z^4 - 2*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22583] -> 2*a^2 - 4*a^4 + 2*a^6 + 5*a^8 - 4*a^10 + 
   z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + 
   2*z^4 - 10*a^4*z^4 + a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22584] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 
   4*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22585] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 22586] -> 1 - 2*a^2 + 3*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 
   3*z^2 - 6*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 + 14*a^8*z^2 - 4*a^10*z^2 + 
   3*z^4 - 7*a^2*z^4 + 2*a^4*z^4 - 7*a^6*z^4 + 9*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 22587] -> -a^(-12) + 4/a^10 - 7/a^8 + 
   8/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (21*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (20*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22588] -> -a^(-14) + 2/a^12 + a^(-10) - 7/a^8 + 
   6/a^6 - z^2/a^14 + (5*z^2)/a^12 + (3*z^2)/a^10 - (13*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (13*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22589] -> 
  -16 + 2/a^6 - 7/a^4 + 14/a^2 + 10*a^2 - 2*a^4 - 39*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (32*z^2)/a^2 + 22*a^2*z^2 - 5*a^4*z^2 - 37*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (31*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 22590] -> 
  -2/a^12 + 7/a^10 - 10/a^8 + 7/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (17*z^2)/a^10 - (26*z^2)/a^8 + (21*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (30*z^4)/a^8 + (23*z^4)/a^6 - (20*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (15*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 22591] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 22592] -> 
  3*a^2 - 8*a^4 + 9*a^6 - a^8 - 2*a^10 + 10*a^2*z^2 - 25*a^4*z^2 + 
   19*a^6*z^2 + 10*a^8*z^2 - 7*a^10*z^2 + 12*a^2*z^4 - 31*a^4*z^4 + 
   9*a^6*z^4 + 19*a^8*z^4 - 5*a^10*z^4 + 6*a^2*z^6 - 20*a^4*z^6 - 5*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22593] -> 
  1 - a^2 - a^4 + 3*a^6 + a^8 - 2*a^10 + 3*z^2 - 3*a^2*z^2 - 5*a^4*z^2 + 
   9*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 
   5*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22594] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (20*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22595] -> 
  a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 6/a^2 + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (20*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22596] -> -7 - 2/a^8 + 9/a^6 - 16/a^4 + 15/a^2 + 
   2*a^2 - 19*z^2 - (3*z^2)/a^8 + (19*z^2)/a^6 - (37*z^2)/a^4 + 
   (34*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (13*z^4)/a^6 - 
   (35*z^4)/a^4 + (33*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22597] -> 
  4*a^2 - 12*a^4 + 16*a^6 - 7*a^8 + 12*a^2*z^2 - 34*a^4*z^2 + 34*a^6*z^2 - 
   2*a^8*z^2 - 4*a^10*z^2 + 13*a^2*z^4 - 38*a^4*z^4 + 21*a^6*z^4 + 
   11*a^8*z^4 - 4*a^10*z^4 + 6*a^2*z^6 - 22*a^4*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 7*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22598] -> 2 - 5*a^2 + 6*a^4 - 3*a^6 + 3*a^8 - 2*a^10 + 
   5*z^2 - 12*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 
   4*z^4 - 11*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   5*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 22599] -> -2 + a^(-2) + 2*a^2 - a^6 + 
   3*a^8 - 2*a^10 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   5*a^8*z^2 - a^10*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 22600] -> a^2 - 2*a^4 + 7*a^6 - 9*a^8 + 6*a^10 - 
   2*a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 25*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 19*a^4*z^4 + 29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22601] -> 
  1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 + z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   z^4 - z^4/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22602] -> 
  -4 + a^(-2) + 9*a^2 - 8*a^4 + 4*a^6 - a^8 - 17*z^2 + (5*z^2)/a^2 + 
   25*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 26*z^4 + (7*z^4)/a^2 + 
   30*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 17*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22603] -> 4*a^2 - 8*a^4 + 9*a^6 - 5*a^8 + a^10 - z^2 + 
   11*a^2*z^2 - 24*a^4*z^2 + 22*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   16*a^2*z^4 - 29*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22604] -> 3 - a^(-8) + 2/a^6 - 2/a^2 - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22605] -> 2*a^2 - 5*a^4 + 11*a^6 - 12*a^8 + 7*a^10 - 
   2*a^12 + 6*a^2*z^2 - 18*a^4*z^2 + 32*a^6*z^2 - 26*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 34*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22606] -> 
  -1 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 - a^2 + a^4 - z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22607] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - a^8 + 2*a^10 - 
   a^12 + 2*z^2 - 5*a^2*z^2 + 7*a^4*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 
   7*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 22608] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - 
   (6*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (13*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 22609] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 22610] -> -3 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^2 + a^4 - 
   a^6 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 22611] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + 5*a^2*z^2 - 11*a^4*z^2 + 
   16*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 
   21*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 14*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 22612] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 22613] -> 4*a^4 - 11*a^6 + 15*a^8 - 7*a^10 + 
   16*a^4*z^2 - 44*a^6*z^2 + 55*a^8*z^2 - 18*a^10*z^2 + 23*a^4*z^4 - 
   73*a^6*z^4 + 74*a^8*z^4 - 17*a^10*z^4 + 18*a^4*z^6 - 65*a^6*z^6 + 
   49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 22614] -> a^2 - 4*a^6 + 9*a^8 - 5*a^10 + 5*a^2*z^2 - 
   5*a^4*z^2 - 7*a^6*z^2 + 23*a^8*z^2 - 8*a^10*z^2 + 6*a^2*z^4 - 11*a^4*z^4 - 
   11*a^6*z^4 + 23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 
   10*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22615] -> 
  2*a^2 - 4*a^4 + 3*a^6 + 3*a^8 - 3*a^10 + 7*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 9*a^2*z^4 - 22*a^4*z^4 + 3*a^6*z^4 + 
   16*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 22616] -> 1 - 2*a^2 + 3*a^4 - 3*a^6 + 
   5*a^8 - 3*a^10 + 3*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 10*a^8*z^2 - 
   3*a^10*z^2 + 3*z^4 - 7*a^2*z^4 - 4*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 22617] -> -2/a^14 + 6/a^12 - 7/a^10 + 
   a^(-8) + 3/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - (14*z^2)/a^10 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (15*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 22618] -> -a^(-14) + 2/a^12 - 5/a^8 + 
   5/a^6 - z^2/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - 
   (14*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22619] -> 
  2*a^2 - 3*a^4 + 6*a^8 - 4*a^10 + 6*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 + 
   16*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 16*a^4*z^4 - 3*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 22620] -> -7 + 2/a^6 - 6/a^4 + 9/a^2 + 
   3*a^2 - 19*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22621] -> 
  3*a^2 - 7*a^4 + 7*a^6 - 2*a^10 + 9*a^2*z^2 - 22*a^4*z^2 + 17*a^6*z^2 + 
   7*a^8*z^2 - 5*a^10*z^2 + 10*a^2*z^4 - 27*a^4*z^4 + 9*a^6*z^4 + 
   14*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 22622] -> -a^(-12) + 4/a^10 - 7/a^8 + 
   7/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + 
   (21*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (20*z^4)/a^6 - (16*z^4)/a^4 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22623] -> a^(-10) - 4/a^8 + 8/a^6 - 9/a^4 + 5/a^2 - 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (22*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (21*z^4)/a^4 + 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22624] -> 
  -5 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 + 3*a^2 - 8*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 22625] -> 
  1 - a^2 + a^6 + 2*a^8 - 2*a^10 + 3*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   6*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 7*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22626] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 22627] -> -6 + 3/a^2 + 6*a^2 - 2*a^4 - a^6 + a^8 - 
   14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 22628] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 12*a^2*z^2 - 22*a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 24*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22629] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22630] -> 2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22631] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   9*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 22632] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (11*z^2)/a^12 - (6*z^2)/a^10 - (10*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (10*z^4)/a^10 - 
   (18*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22633] -> -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (7*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22634] -> -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22635] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22636] -> -11 + 2/a^6 - 7/a^4 + 12/a^2 + 6*a^2 - a^4 - 
   27*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (25*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 26*z^4 + z^4/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22637] -> 
  -2 + a^(-8) - 3/a^6 + 4/a^4 - a^(-2) + 2*a^2 - 2*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 22638] -> 4*a^2 - 10*a^4 + 11*a^6 - 3*a^8 - a^10 + 
   10*a^2*z^2 - 27*a^4*z^2 + 25*a^6*z^2 - 3*a^10*z^2 + 10*a^2*z^4 - 
   31*a^4*z^4 + 18*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   18*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22639] -> 2 - 4*a^2 + 4*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   4*z^2 - 9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   9*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22640] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 - 
   3*z^2 + 14*a^2*z^2 - 24*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 19*a^2*z^4 - 27*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22641] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 3*z^2 + 11*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 17*a^2*z^4 - 19*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22642] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - 
   a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 12*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 18*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22643] -> 
  2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22644] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   16*z^2 + (4*z^2)/a^2 + 25*a^2*z^2 - 20*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   24*z^4 + (6*z^4)/a^2 + 32*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22645] -> 2*a^2 - 4*a^4 + 7*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + 7*a^2*z^2 - 17*a^4*z^2 + 24*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 29*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22646] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 20*a^2*z^2 - 26*a^4*z^2 + 
   17*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 7*z^4 + 26*a^2*z^4 - 32*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 18*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22647] -> 
  1 - a^2 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 3*z^2 - 4*a^2*z^2 - a^4*z^2 + 
   9*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 7*a^2*z^4 - 3*a^4*z^4 + 
   7*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 22648] -> a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 
   5*a^10 - 2*a^12 + 4*a^2*z^2 - 8*a^4*z^2 + 18*a^6*z^2 - 17*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 22*a^6*z^4 - 
   18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 22649] -> 4*a^4 - 10*a^6 + 13*a^8 - 6*a^10 + 
   14*a^4*z^2 - 39*a^6*z^2 + 50*a^8*z^2 - 17*a^10*z^2 + 22*a^4*z^4 - 
   69*a^6*z^4 + 72*a^8*z^4 - 17*a^10*z^4 + 18*a^4*z^6 - 64*a^6*z^6 + 
   49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 22650] -> a^2 + a^4 - 6*a^6 + 10*a^8 - 5*a^10 + 
   3*a^2*z^2 - 12*a^6*z^2 + 24*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 
   13*a^6*z^4 + 23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   10*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22651] -> 
  -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 17*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22652] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 
   6/a^2 + 2*a^2 - 13*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22653] -> a^2 - 3*a^6 + 7*a^8 - 4*a^10 + 5*a^2*z^2 - 
   7*a^4*z^2 - 3*a^6*z^2 + 20*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 
   5*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22654] -> 
  2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22655] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 + 7*a^2*z^2 - 18*a^4*z^2 + 
   19*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 22*a^4*z^4 + 
   21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 22656] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 3*z^2 - 
   z^2/a^2 + 17*a^2*z^2 - 22*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 22*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22657] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 14*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 23*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22658] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22659] -> 2*a^2 - 2*a^4 - 2*a^6 + 7*a^8 - 4*a^10 + 
   4*a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 18*a^8*z^2 - 6*a^10*z^2 + 4*a^2*z^4 - 
   7*a^4*z^4 - 10*a^6*z^4 + 18*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 
   8*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22660] -> 
  2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + 6*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 
   14*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 16*a^4*z^4 - 2*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 22661] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 
   3*a^10 - a^12 + 3*a^2*z^2 - 6*a^4*z^2 + 14*a^6*z^2 - 13*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 20*a^6*z^4 - 15*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22662] -> 
  -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 17*z^2 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22663] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 
   3*a^4 + a^6 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22664] -> -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 
   4/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - 
   (19*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22665] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 22666] -> 3*a^2 - 6*a^4 + 5*a^6 + a^8 - 
   2*a^10 + 8*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 + 7*a^8*z^2 - 5*a^10*z^2 + 
   9*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 
   5*a^2*z^6 - 16*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22667] -> 1 - 2*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 2*z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22668] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   17*z^2 - z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 22669] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - (5*z^2)/a^10 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 22670] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22671] -> -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + a^8 - 
   10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 22672] -> 
  4*a^4 - 9*a^6 + 11*a^8 - 5*a^10 + 12*a^4*z^2 - 35*a^6*z^2 + 47*a^8*z^2 - 
   17*a^10*z^2 + 19*a^4*z^4 - 61*a^6*z^4 + 69*a^8*z^4 - 17*a^10*z^4 + 
   17*a^4*z^6 - 59*a^6*z^6 + 48*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 22673] -> a^2 + a^4 - 5*a^6 + 8*a^8 - 
   4*a^10 + 3*a^2*z^2 - 3*a^4*z^2 - 6*a^6*z^2 + 20*a^8*z^2 - 8*a^10*z^2 + 
   5*a^2*z^4 - 8*a^4*z^4 - 8*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 
   9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22674] -> 2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + 
   3*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 
   10*a^4*z^4 - 2*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22675] -> 1 - a^2 + 2*a^4 - 4*a^6 + 6*a^8 - 3*a^10 + 
   z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 
   2*z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22676] -> 2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + z^2 - 
   a^2*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22677] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + (2*z^2)/a^8 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 22678] -> -2/a^6 + 3/a^4 + 2*z^2 + 
   (2*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22679] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 22680] -> 
  -1 - 2/a^6 + 3/a^4 + a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 22681] -> -a^(-8) + a^(-6) + a^(-4) - a^2 + a^4 - 
   2*z^2 + z^2/a^6 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 22682] -> 
  -4 + 4/a^8 - 15/a^6 + 13/a^4 + 3/a^2 - 12*z^2 + (8*z^2)/a^8 - 
   (39*z^2)/a^6 + (41*z^2)/a^4 + (10*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (40*z^4)/a^6 + (55*z^4)/a^4 + (16*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (39*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22683] -> -4 + 3/a^8 - 11/a^6 + 8/a^4 + 5/a^2 - 
   12*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + (27*z^2)/a^4 + (15*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + (41*z^4)/a^4 + (20*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (16*z^6)/a^6 + (33*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (13*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22684] -> 2 + a^(-8) - 4/a^6 + 2/a^4 + 2/a^2 - 2*a^2 + 
   5*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (10*z^4)/a^6 + (11*z^4)/a^4 + (11*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 22685] -> 
  -1 + 4*a^2 - 6*a^4 + 10*a^6 - 8*a^8 + 2*a^10 - 3*z^2 + 12*a^2*z^2 - 
   19*a^4*z^2 + 27*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 
   22*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 22686] -> -3*a^2 + 14*a^4 - 15*a^6 + 
   5*a^8 - 10*a^2*z^2 + 49*a^4*z^2 - 60*a^6*z^2 + 22*a^8*z^2 - 12*a^2*z^4 + 
   69*a^4*z^4 - 102*a^6*z^4 + 34*a^8*z^4 - 6*a^2*z^6 + 48*a^4*z^6 - 
   88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 22687] -> -1 + 2*a^2 + 6*a^4 - 10*a^6 + 4*a^8 - 
   3*z^2 + 9*a^2*z^2 + 9*a^4*z^2 - 27*a^6*z^2 + 12*a^8*z^2 - 3*z^4 + 
   14*a^2*z^4 - a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - z^6 + 9*a^2*z^6 - 
   8*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22688] -> 
  -2 + 7*a^2 - 2*a^4 - 5*a^6 + 3*a^8 - 5*z^2 + 17*a^2*z^2 - 5*a^4*z^2 - 
   17*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 10*a^4*z^4 - 23*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22689] -> 3 - a^(-2) - a^2 + 3*a^4 - 6*a^6 + 3*a^8 + 
   6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 14*a^6*z^2 + 6*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22690] -> -1 + 2/a^8 - 10/a^6 + 12/a^4 - 2/a^2 - 
   6*z^2 + (5*z^2)/a^8 - (28*z^2)/a^6 + (37*z^2)/a^4 - (2*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (32*z^4)/a^6 + (49*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22691] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + (12*z^2)/a^2 - 
   2*a^2*z^2 - z^4 + z^4/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 + (18*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 22692] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 3*z^2 + 11*a^2*z^2 + a^4*z^2 - 
   17*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 4*a^4*z^4 - 25*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22693] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   7*a^4*z^4 - 8*a^6*z^4 + 5*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22694] -> 
  -2 + 8*a^2 - 6*a^4 + a^8 - 5*z^2 + 20*a^2*z^2 - 15*a^4*z^2 - 6*a^6*z^2 + 
   6*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 16*a^4*z^4 - 17*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22695] -> -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 
   6*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22696] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   10*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22697] -> 3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 
   6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 
   a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22698] -> 3 - a^(-2) - a^4 - a^6 + a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   8*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22699] -> -1 + 3/a^8 - 14/a^6 + 17/a^4 - 4/a^2 - 
   6*z^2 + (6*z^2)/a^8 - (34*z^2)/a^6 + (46*z^2)/a^4 - (5*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (54*z^4)/a^4 + (4*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (36*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22700] -> -6 + a^(-6) - 6/a^4 + 10/a^2 + 3*a^2 - a^4 - 
   20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22701] -> 
  -4 + a^(-8) - 4/a^6 + 8/a^2 - 7*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 + 
   (21*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   (23*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 22702] -> -8 - a^(-4) + 4/a^2 + 10*a^2 - 4*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22703] -> 
  -2 + 5*a^2 - 3*a^6 + a^8 - 5*z^2 + 14*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 5*a^4*z^4 - 13*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22704] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 
   5*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22705] -> -2 + 9*a^2 - 10*a^4 + 5*a^6 - a^8 - 5*z^2 + 
   22*a^2*z^2 - 23*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 
   23*a^4*z^4 - 7*a^6*z^4 + 6*a^8*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22706] -> 
  4 - a^(-2) - 4*a^2 + 4*a^4 - 3*a^6 + a^8 + 8*z^2 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 6*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22707] -> -2/a^14 + 7/a^12 - 7/a^10 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (17*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (19*z^4)/a^10 - (9*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22708] -> -a^(-14) + 2/a^12 + a^(-10) - 4/a^8 + 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - z^2/a^10 - 
   (8*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22709] -> 
  a^(-12) - a^(-10) - 5/a^8 + 6/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 - z^4/a^8 + (19*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22710] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22711] -> -1 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 - a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 22712] -> 
  -5 - 2/a^4 + 6/a^2 + 3*a^2 - 2*a^4 + a^6 - 15*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22713] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 8*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 22714] -> 
  -a^(-6) + 2/a^4 - a^4 + a^6 - z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22715] -> 3 + a^(-6) - 5/a^4 + 4/a^2 - a^2 - a^4 + 
   10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 22716] -> 
  a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (17*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22717] -> -5 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + a^2 + 
   a^4 - 12*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + 
   (20*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (3*z^8)/a^2, Knot[15, Alternating, 22718] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 22719] -> 10 - 2/a^2 - 12*a^2 + 5*a^4 + 
   33*z^2 - (7*z^2)/a^2 - 46*a^2*z^2 + 17*a^4*z^2 + 50*z^4 - (9*z^4)/a^2 - 
   76*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22720] -> 
  2 - a^(-4) + 3/a^2 - 7*a^2 + 4*a^4 + 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   21*a^2*z^2 + 9*a^4*z^2 - (3*z^4)/a^4 + (12*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22721] -> -3 - a^(-4) + 4/a^2 + a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22722] -> 
  -a^2 + 7*a^4 - 7*a^6 + 2*a^8 + 12*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 
   2*z^4 + 6*a^2*z^4 + 4*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22723] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - z^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*a^6*z^2 + 
   4*a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22724] -> 
  4 - 2/a^2 - a^4 + 9*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^4*z^2 + 
   11*z^4 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 22725] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22726] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   14*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - z^4/a^2 + 11*a^2*z^4 - 
   20*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22727] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   14*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22728] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 22729] -> 
  -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22730] -> 
  -3 - a^(-8) + 3/a^6 - 2/a^4 + 2/a^2 + a^2 + a^4 - 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 22731] -> -a^2 + 3*a^4 + a^8 - 3*a^10 + a^12 - 
   3*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 + 5*a^6*z^4 + 8*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 22732] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 16*z^2 - (5*z^2)/a^6 + (27*z^2)/a^4 - 
   (41*z^2)/a^2 + 25*z^4 - (8*z^4)/a^6 + (46*z^4)/a^4 - (74*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 22733] -> 3 - a^(-6) + 6/a^4 - 8/a^2 + 
   a^2 + z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - (20*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - (21*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (13*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22734] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - 12*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 22735] -> 
  a^2 + a^6 - a^8 + 4*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 
   8*a^2*z^4 - 7*a^4*z^4 - 11*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22736] -> 
  1 - 3*a^2 + 7*a^4 - 5*a^6 + a^8 + 3*z^2 - 7*a^2*z^2 + 12*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 - 6*a^2*z^4 + 5*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22737] -> 
  3/a^12 - 12/a^10 + 11/a^8 - a^(-4) + (7*z^2)/a^12 - (35*z^2)/a^10 + 
   (40*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^4)/a^12 - (38*z^4)/a^10 + 
   (56*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + 
   (39*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 22738] -> 2/a^12 - 7/a^10 + 3/a^8 + 5/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (11*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (12*z^4)/a^8 + (17*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22739] -> -1 + 2/a^8 - 8/a^6 + 8/a^4 - 4*z^2 + 
   (5*z^2)/a^8 - (25*z^2)/a^6 + (31*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (29*z^4)/a^6 + (43*z^4)/a^4 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (31*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22740] -> 5 + a^(-4) - 4/a^2 - a^4 + 21*z^2 + 
   (4*z^2)/a^4 - (19*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 38*z^4 + (4*z^4)/a^4 - 
   (28*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 32*z^6 + z^6/a^4 - (16*z^6)/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 22741] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 12*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^4*z^2 + 17*z^4 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 22742] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (23*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - 
   (36*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (29*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22743] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22744] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 8*z^2 - (5*z^2)/a^6 + (24*z^2)/a^4 - 
   (31*z^2)/a^2 + 2*a^2*z^2 + 3*z^4 - (4*z^4)/a^6 + (28*z^4)/a^4 - 
   (41*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + (15*z^6)/a^4 - (30*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 22745] -> 
  4 - a^(-8) + 3/a^6 - 5/a^2 + 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 - (13*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (15*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 22746] -> -2/a^14 + 8/a^12 - 11/a^10 + 4/a^8 + 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (17*z^2)/a^12 - (24*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (22*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 22747] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 3*z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + 
   (11*z^4)/a^8 - (11*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 22748] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22749] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + 3/a^12 + a^(-10) + 2/a^8 + (6*z^2)/a^16 - 
   (22*z^2)/a^14 + (10*z^2)/a^12 + (10*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (12*z^4)/a^14 + (14*z^4)/a^12 + (17*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 22750] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (7*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (10*z^4)/a^10 + (12*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22751] -> 3 - a^(-4) + a^2 - 3*a^4 + a^6 - z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22752] -> 
  1 - 2/a^4 + 3/a^2 - 2*a^4 + a^6 - z^2 - z^2/a^6 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22753] -> -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 
   9*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22754] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 5*z^2 - 21*a^2*z^2 + 30*a^4*z^2 - 11*a^6*z^2 + 
   8*z^4 - 42*a^2*z^4 + 61*a^4*z^4 - 21*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 
   62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 22755] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 21*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22756] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 22757] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2 - z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22758] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 17*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22759] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (19*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22760] -> -2 - 2/a^4 + 4/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 
   4*a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22761] -> 
  -5 - a^(-8) + 3/a^6 - 4/a^4 + 6/a^2 + a^2 + a^4 - 11*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   8*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 22762] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 2*a^4 + a^6 + 
   4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22763] -> 1 - 2/a^4 + 3/a^2 + a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22764] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - a^2 - a^4 + a^6 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 22765] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + 
   a^8 - 3*z^2 + 6*a^2*z^2 + 7*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 
   9*a^2*z^4 + 5*a^4*z^4 - 16*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22766] -> 
  -2*a^4 + 5*a^6 + 3*a^8 - 7*a^10 + 2*a^12 - 7*a^4*z^2 + 16*a^6*z^2 + 
   15*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 7*a^4*z^4 + 21*a^6*z^4 + 
   19*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 14*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 22767] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 38*z^2 + 
   (7*z^2)/a^4 - (30*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - 
   (49*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 22768] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (15*z^4)/a^2 + 18*a^2*z^4 - 
   9*a^4*z^4 + 10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 22769] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22770] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22771] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 7*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 
   3*z^4 + z^4/a^2 - 5*a^2*z^4 + 14*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22772] -> 
  -7 - 3/a^4 + 8/a^2 + 5*a^2 - 3*a^4 + a^6 - 22*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 16*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22773] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + 2*a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22774] -> -13 - 4/a^4 + 12/a^2 + 10*a^2 - 6*a^4 + 
   2*a^6 - 33*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 27*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 - 33*z^4 - z^4/a^4 + (14*z^4)/a^2 + 29*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 16*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22775] -> 
  3 - 2/a^6 + 5/a^4 - 4/a^2 - a^2 - a^4 + a^6 + 5*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22776] -> -a^(-8) + 2/a^6 - a^(-4) + a^(-2) - a^4 + 
   a^6 - 2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - z^4 - (3*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^2 + 
   a^2*z^6, Knot[15, Alternating, 22777] -> -2 + 7*a^2 - 7*a^4 + 6*a^6 - 
   4*a^8 + a^10 - 5*z^2 + 16*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - z^6 + 9*a^2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22778] -> 
  3 - a^(-2) - 3*a^2 + 5*a^4 - 4*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 
   7*a^2*z^2 + 11*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 8*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 22779] -> -3*a^4 + 9*a^6 - 2*a^8 - 5*a^10 + 2*a^12 - 
   10*a^4*z^2 + 26*a^6*z^2 + 4*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 8*a^4*z^4 + 29*a^6*z^4 + 13*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 17*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 22780] -> -a^2 + a^4 + 5*a^6 - 3*a^8 - 
   2*a^10 + a^12 - 3*a^2*z^2 + 3*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 
   6*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 13*a^6*z^4 + 
   3*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 22781] -> -1 + 7*a^4 - 6*a^6 + a^8 - 4*z^2 + 
   5*a^2*z^2 + 13*a^4*z^2 - 12*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 
   6*a^4*z^4 - 13*a^6*z^4 + 5*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22782] -> 
  -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22783] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 7*a^2*z^4 + 
   5*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22784] -> -a^(-4) + 3/a^2 - 4*a^2 + 4*a^4 - a^6 + 
   2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 12*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22785] -> -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^2 + 14*a^2*z^4 - 
   13*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 8*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22786] -> 
  -3*a^4 + 10*a^6 - 5*a^8 - 2*a^10 + a^12 - 10*a^4*z^2 + 28*a^6*z^2 - 
   2*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 8*a^4*z^4 + 
   30*a^6*z^4 + 9*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 17*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 22787] -> -a^2 + 2*a^4 + 2*a^6 - 3*a^10 + a^12 - 
   3*a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 + 4*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - 
   z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 9*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 22788] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + 
   (10*z^2)/a^8 - (37*z^2)/a^6 + (43*z^2)/a^4 - (13*z^2)/a^2 + (12*z^4)/a^8 - 
   (56*z^4)/a^6 + (70*z^4)/a^4 - (22*z^4)/a^2 + (6*z^6)/a^8 - (42*z^6)/a^6 + 
   (64*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (33*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 22789] -> -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 4*z^2 + 
   (5*z^2)/a^8 - (16*z^2)/a^6 + (11*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (14*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22790] -> -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22791] -> 3 + a^(-8) - 2/a^6 + a^(-4) - a^(-2) - a^2 + 
   6*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 22792] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 4*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + 
   (23*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (21*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (12*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 22793] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 22794] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 15*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 - 5*a^2*z^2 + 18*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 22795] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 22796] -> -9 + 2/a^2 + 15*a^2 - 8*a^4 + a^6 - 22*z^2 + 
   (5*z^2)/a^2 + 32*a^2*z^2 - 13*a^4*z^2 + a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22797] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 22798] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 11*z^4 + z^4/a^4 + 16*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 3*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 22799] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 4*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 22800] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 
   8*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 22801] -> 3 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 
   3/a^2 + 6*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22802] -> 
  -3/a^14 + 7/a^12 - 4/a^10 - 3/a^8 + 3/a^6 + a^(-4) - (4*z^2)/a^14 + 
   (20*z^2)/a^12 - (14*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - 
   z^4/a^14 + (15*z^4)/a^12 - (19*z^4)/a^10 - (14*z^4)/a^8 - z^4/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 22803] -> -2/a^14 + 4/a^12 - a^(-10) - 3/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (8*z^2)/a^12 - z^2/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 22804] -> -a^(-14) + a^(-12) + 2/a^10 - 
   3/a^8 - a^(-6) + 3/a^4 - z^2/a^14 + (5*z^2)/a^12 + (3*z^2)/a^10 - 
   (8*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (10*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 22805] -> 
  4*a^4 - 7*a^6 + 3*a^8 + 5*a^10 - 4*a^12 + 14*a^4*z^2 - 22*a^6*z^2 + 
   3*a^8*z^2 + 24*a^10*z^2 - 10*a^12*z^2 + 16*a^4*z^4 - 31*a^6*z^4 - 
   9*a^8*z^4 + 31*a^10*z^4 - 6*a^12*z^4 + 7*a^4*z^6 - 23*a^6*z^6 - 
   15*a^8*z^6 + 14*a^10*z^6 - a^12*z^6 + a^4*z^8 - 8*a^6*z^8 - 7*a^8*z^8 + 
   2*a^10*z^8 - a^6*z^10 - a^8*z^10, Knot[15, Alternating, 22806] -> 
  a^2 + a^4 - 4*a^6 + 3*a^8 + 3*a^10 - 3*a^12 + 4*a^2*z^2 + a^4*z^2 - 
   10*a^6*z^2 + 7*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   3*a^4*z^4 - 15*a^6*z^4 + 2*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   4*a^4*z^6 - 10*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - 
   a^8*z^8, Knot[15, Alternating, 22807] -> 2*a^2 - 2*a^4 - a^6 + 3*a^8 + 
   a^10 - 2*a^12 + 5*a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 9*a^8*z^2 + 
   6*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 5*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 + 
   7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 9*a^6*z^6 - 2*a^8*z^6 + 
   2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 22808] -> 2*a^2 - 2*a^4 - a^6 + 3*a^8 + a^10 - 
   2*a^12 + z^2 + 3*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 6*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 
   2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[15, Alternating, 22809] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - 
   3/a^2 + a^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 22810] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (3*z^2)/a^12 - z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 22811] -> 1 - a^2 + a^4 - a^6 + a^8 + 2*a^10 - 
   2*a^12 + 2*z^2 - a^2*z^2 - a^6*z^2 + 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   2*a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 22812] -> 
  2 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + a^(-4) - 2/a^2 + z^2 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 22813] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 3/a^8 - a^(-6) + 3/a^4 + z^2 + (3*z^2)/a^12 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 22814] -> -2 + 2/a^6 - 5/a^4 + 6/a^2 - 3*a^2 + 4*a^4 - 
   a^6 - 4*z^2 + z^2/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 8*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 - 2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 22815] -> 1 - 2/a^12 + 5/a^10 - 3/a^8 - 
   2/a^6 + 3/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (9*z^2)/a^10 - (8*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (10*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22816] -> 1 - a^(-12) + 2/a^10 - 2/a^6 + a^(-4) + 
   (3*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 22817] -> 3*a^2 - 5*a^4 + 2*a^6 + 3*a^8 - 
   a^10 - a^12 + 7*a^2*z^2 - 10*a^4*z^2 - a^6*z^2 + 9*a^8*z^2 + 4*a^10*z^2 - 
   3*a^12*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - 10*a^6*z^4 + 5*a^8*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + a^2*z^6 - 5*a^4*z^6 - 9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - 
   a^4*z^8 - 2*a^6*z^8 - a^8*z^8, Knot[15, Alternating, 22818] -> 
  1 - 2*a^4 + 2*a^6 + a^8 - a^12 + 2*z^2 - 4*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[15, Alternating, 22819] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   a^(-4) - 2/a^2 + z^2 + (4*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 22820] -> 3 + a^(-10) - 3/a^8 + 4/a^6 - a^(-4) - 
   3/a^2 + 4*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 - 
   a^4*z^2 + 3*z^4 + (6*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 22821] -> 
  5 - 2/a^8 + 7/a^6 - 7/a^4 - 3*a^2 + a^4 + 8*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 22822] -> 
  4*a^2 - 8*a^4 + 5*a^6 + 3*a^8 - 3*a^10 + 8*a^2*z^2 - 14*a^4*z^2 + 
   2*a^6*z^2 + 11*a^8*z^2 - 2*a^12*z^2 + 5*a^2*z^4 - 11*a^4*z^4 - 8*a^6*z^4 + 
   7*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^2*z^6 - 5*a^4*z^6 - 8*a^6*z^6 - 
   a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 22823] -> 2 - 3*a^2 + a^4 + 2*a^6 - a^8 + a^10 - 
   a^12 + 3*z^2 - 4*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - 
   a^12*z^2 + z^4 - 3*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + 2*a^10*z^4 - 
   a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 22824] -> 
  -1 + a^(-2) + a^4 + a^10 - a^12 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 
   a^8*z^2 + 2*a^10*z^2 - z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - a^8*z^4, 
 Knot[15, Alternating, 22825] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + 
   3*a^2*z^2 - 10*a^4*z^2 + 22*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 17*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 22826] -> 
  1 - 2*a^2 + 3*a^4 + a^6 - 3*a^8 + a^10 + 2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22827] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 5*z^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   23*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22828] -> -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 22829] -> 
  -5 - a^(-8) + 2/a^6 - 3/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22830] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 22831] -> 2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 - 
   5*a^6*z^2 + 14*a^8*z^2 - 7*a^10*z^2 + 7*a^4*z^4 - 22*a^6*z^4 + 
   35*a^8*z^4 - 11*a^10*z^4 + 11*a^4*z^6 - 34*a^6*z^6 + 34*a^8*z^6 - 
   6*a^10*z^6 + 6*a^4*z^8 - 24*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 22832] -> 
  a^2 + a^8 - a^10 + a^2*z^2 - a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 
   2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 
   5*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22833] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + 
   3*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 
   13*a^4*z^4 + 7*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22834] -> 
  1 - a^4 + a^6 + a^8 - a^10 + z^2 - 2*a^2*z^2 + a^6*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22835] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 22836] -> 
  1 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 22837] -> 
  -a^(-12) + 2/a^10 - 4/a^4 + 4/a^2 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 22838] -> 
  2 - a^(-10) + 4/a^8 - 5/a^6 + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + 
   (9*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (6*z^4)/a^8 - (11*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 22839] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22840] -> 1 + 2/a^4 - 3/a^2 + a^2 + 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 5*z^4 + z^4/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 22841] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 + 7*z^2 - 
   32*a^2*z^2 + 47*a^4*z^2 - 17*a^6*z^2 + 17*z^4 - 58*a^2*z^4 + 68*a^4*z^4 - 
   17*a^6*z^4 + 17*z^6 - 58*a^2*z^6 + 48*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 22842] -> -2 + a^(-2) - a^2 + 7*a^4 - 
   4*a^6 - 6*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 8*z^4 + 
   (5*z^4)/a^2 - 7*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22843] -> 
  -6 + 2/a^2 + 6*a^2 + a^4 - 2*a^6 - 17*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 + 
   7*a^4*z^2 - 5*a^6*z^2 - 21*z^4 + (8*z^4)/a^2 + 9*a^2*z^4 + 13*a^4*z^4 - 
   4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 2*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22844] -> 1 + a^(-4) - 2/a^2 + 3*a^4 - 2*a^6 + 3*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 22845] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22846] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   2*z^2 + 13*a^2*z^2 - 21*a^4*z^2 + 9*a^6*z^2 - 5*z^4 + 17*a^2*z^4 - 
   21*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 6*a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 22847] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 22848] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - 4*a^2*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 22849] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22850] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^6 - z^2/a^4 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 22851] -> 
  3*a^4 - 2*a^6 - 8*a^2*z^2 + 20*a^4*z^2 - 9*a^6*z^2 + 8*z^4 - 28*a^2*z^4 + 
   41*a^4*z^4 - 12*a^6*z^4 + 12*z^6 - 38*a^2*z^6 + 36*a^4*z^6 - 6*a^6*z^6 + 
   6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22852] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22853] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   5*a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 9*a^2*z^4 + 
   3*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 22854] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 
   3*z^2 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22855] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 
   22*a^2*z^2 - 22*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22856] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 22857] -> 
  1 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22858] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 20*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22859] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   15*a^2*z^4 - 21*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22860] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22861] -> 1 + z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 22862] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 22863] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 5*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 22864] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 + 5*z^2 - 23*a^2*z^2 + 34*a^4*z^2 - 12*a^6*z^2 + 
   12*z^4 - 42*a^2*z^4 + 50*a^4*z^4 - 13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 
   38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22865] -> 
  -2 + a^(-2) + 5*a^4 - 3*a^6 - 6*z^2 + (2*z^2)/a^2 - a^2*z^2 + 14*a^4*z^2 - 
   6*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22866] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22867] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 
   2*a^6 - 15*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 
   17*z^4 + (6*z^4)/a^2 + 10*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 12*z^6 + 
   (4*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22868] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 22869] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 
   2*a^4*z^2 + 11*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 5*a^4*z^4 + 
   17*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 7*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 22870] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 
   3*a^4*z^4 + 15*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 7*a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 22871] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   6*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + 5*a^2*z^4 - 
   14*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22872] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 15*z^4 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + 
   (11*z^6)/a^2 - 7*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 22873] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 22874] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 17*z^2 + (4*z^2)/a^4 - (15*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 13*z^4 + (6*z^4)/a^4 - (18*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22875] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - a^2*z^2 - a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 22876] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + a^6*z^4 + z^6 - z^6/a^4 + z^6/a^2 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 22877] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22878] -> a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 22879] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - z^2/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 11*z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 - z^6/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 22880] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 20*z^2 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   10*a^2*z^2 + 39*z^4 + (5*z^4)/a^4 - (19*z^4)/a^2 - 12*a^2*z^4 + 35*z^6 + 
   (11*z^6)/a^4 - (33*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (24*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 22881] -> 3 - a^(-4) - a^4 + 10*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 11*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22882] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 22883] -> a^2 + a^4 - a^6 + 2*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 22884] -> 
  -4 - a^(-8) + 2/a^6 - 2/a^4 + 4/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22885] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 3*z^2 - 
   19*a^2*z^2 + 31*a^4*z^2 - 12*a^6*z^2 + 9*z^4 - 34*a^2*z^4 + 47*a^4*z^4 - 
   13*a^6*z^4 + 12*z^6 - 39*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 22886] -> -1 + a^(-2) - 2*a^2 + 6*a^4 - 
   3*a^6 - 2*z^2 - 4*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 22887] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   10*z^2 + (11*z^2)/a^4 - (22*z^2)/a^2 + 12*z^4 - (6*z^4)/a^6 + 
   (24*z^4)/a^4 - (40*z^4)/a^2 + 6*z^6 - (11*z^6)/a^6 + (34*z^6)/a^4 - 
   (35*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (24*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 22888] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22889] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22890] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 22891] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22892] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 
   5*z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 22893] -> 2 - a^(-2) + a^2 - a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 10*z^4 + (4*z^4)/a^4 - 
   (12*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 22894] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 22895] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 22896] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22897] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 + (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22898] -> a^(-2) - a^2 + a^4 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^6 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 22899] -> -3 + 9*a^2 - 8*a^4 + 5*a^6 - 2*a^8 - 7*z^2 + 
   23*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 22900] -> 1 - a^(-2) + 3*a^2 - 3*a^4 + 
   2*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 22901] -> 11 - 2/a^2 - 14*a^2 + 6*a^4 + 41*z^2 - 
   (7*z^2)/a^2 - 63*a^2*z^2 + 25*a^4*z^2 + 62*z^4 - (9*z^4)/a^2 - 
   108*a^2*z^4 + 37*a^4*z^4 + 44*z^6 - (5*z^6)/a^2 - 92*a^2*z^6 + 
   25*a^4*z^6 + 15*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22902] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (20*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 32*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (23*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22903] -> 3 - a^(-4) + 3/a^2 - 9*a^2 + 5*a^4 + 
   4*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 30*a^2*z^2 + 14*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 36*a^2*z^4 + 14*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22904] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (13*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^4)/a^10 - 
   (13*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - (7*z^6)/a^8 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22905] -> 1 - a^(-12) + 4/a^10 - 7/a^8 + 5/a^6 - 
   a^(-2) + 2*z^2 + (5*z^2)/a^10 - (14*z^2)/a^8 + (16*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22906] -> 
  -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 5*z^2 + 13*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 4*a^4*z^4 - 5*a^6*z^4 + 
   4*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22907] -> 1 - a^(-10) + 2/a^8 - a^(-6) - 2*z^2 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 + (4*z^6)/a^4 + 
   z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 22908] -> 
  2 - a^(-2) - a^2 + 2*a^4 - a^8 + 4*z^2 - (2*z^2)/a^2 + 4*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22909] -> 
  -4 + 3/a^8 - 10/a^6 + 6/a^4 + 6/a^2 - 12*z^2 + (6*z^2)/a^8 - (28*z^2)/a^6 + 
   (24*z^2)/a^4 + (16*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (40*z^4)/a^4 + (20*z^4)/a^2 - 6*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (33*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 22910] -> 
  10 - 2/a^2 - 10*a^2 + a^4 + 2*a^6 + 25*z^2 - (5*z^2)/a^2 - 27*a^2*z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 + 26*z^4 - (4*z^4)/a^2 - 31*a^2*z^4 - 20*a^4*z^4 + 
   12*a^6*z^4 + 12*z^6 - z^6/a^2 - 20*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 22911] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   21*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 24*z^4 - z^4/a^4 + (9*z^4)/a^2 + 31*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22912] -> 
  2 - a^(-4) + 3/a^2 - 5*a^2 + 2*a^6 + 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   14*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   16*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22913] -> 11 + a^(-4) - 7/a^2 - 3*a^2 - a^4 + 32*z^2 + 
   (4*z^2)/a^4 - (23*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 44*z^4 + 
   (4*z^4)/a^4 - (29*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 33*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 22914] -> 
  6 - 3/a^2 - a^2 - a^4 + 15*z^2 + z^2/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 18*z^4 + z^4/a^6 - (6*z^4)/a^4 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 22915] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 4*z^2 + 8*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 
   2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + a^4*z^4 - 11*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 22916] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 7*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 22917] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 14*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 - 
   9*a^2*z^2 + 8*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 20*a^2*z^4 + 
   10*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 22918] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 28*z^2 - 
   (4*z^2)/a^2 - 46*a^2*z^2 + 19*a^4*z^2 + 44*z^4 - (6*z^4)/a^2 - 
   81*a^2*z^4 + 28*a^4*z^4 + 34*z^6 - (4*z^6)/a^2 - 72*a^2*z^6 + 20*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 22919] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^4 + 2*a^6 - 10*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22920] -> -1 - a^(-4) + 4/a^2 - 4*a^2 + 3*a^4 - 
   2*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 13*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 22921] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 
   3/a^2 + a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22922] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 2*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22923] -> 
  7 - 3/a^2 - 3*a^2 + 12*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 - 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22924] -> 
  6 - a^(-6) + 7/a^4 - 11/a^2 + 20*z^2 - (5*z^2)/a^6 + (31*z^2)/a^4 - 
   (50*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + (51*z^4)/a^4 - (85*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 22925] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   2*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 6*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 22926] -> 
  1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22927] -> 
  1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 3*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 22928] -> 1 - a^(-6) + 6/a^4 - 7/a^2 + 2*a^2 - 8*z^2 - 
   (3*z^2)/a^6 + (15*z^2)/a^4 - (16*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^4 - (16*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22929] -> 
  a^(-2) - a^2 + a^4 - z^2 + (4*z^2)/a^2 - 13*a^2*z^2 + 8*a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 23*a^2*z^4 + 10*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 22930] -> 
  -1 + 6*a^4 - 4*a^6 - 3*z^2 + 2*a^2*z^2 + 15*a^4*z^2 - 10*a^6*z^2 + 
   2*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 12*a^4*z^4 - 14*a^6*z^4 + 5*a^8*z^4 - 
   z^6 + 7*a^2*z^6 + a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22931] -> -6 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + 
   3*a^2 - 21*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 + 
   6*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 22932] -> 
  8 - 2/a^6 + 11/a^4 - 16/a^2 + 22*z^2 - (7*z^2)/a^6 + (38*z^2)/a^4 - 
   (58*z^2)/a^2 + 29*z^4 - (9*z^4)/a^6 + (54*z^4)/a^4 - (89*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 22933] -> -4 - a^(-6) + 5/a^4 - 3/a^2 + 
   4*a^2 - 16*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (9*z^2)/a^2 + 9*a^2*z^2 - 
   22*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 22934] -> 
  4 - 6*a^2 + 3*a^4 + 6*z^2 + z^2/a^2 - 15*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 16*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 22935] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   (5*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22936] -> 
  -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 4*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (34*z^2)/a^4 - (4*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (29*z^4)/a^6 + 
   (44*z^4)/a^4 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + (31*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 22937] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 22938] -> 
  3/a^12 - 11/a^10 + 9/a^8 + a^(-6) - a^(-4) + (7*z^2)/a^12 - (35*z^2)/a^10 + 
   (39*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^4)/a^12 - (38*z^4)/a^10 + 
   (56*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (18*z^6)/a^10 + 
   (39*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 22939] -> 2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (11*z^2)/a^8 + (13*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (12*z^4)/a^8 + (17*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22940] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   6*z^2 + (5*z^2)/a^8 - (25*z^2)/a^6 + (28*z^2)/a^4 + z^2/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (44*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22941] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 8*z^2 - 
   (5*z^2)/a^6 + (24*z^2)/a^4 - (30*z^2)/a^2 + 2*a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^6 + (28*z^4)/a^4 - (41*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (30*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 22942] -> -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - 
   (4*z^2)/a^10 + (19*z^2)/a^8 - (26*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (26*z^4)/a^8 - (37*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 22943] -> a^(-12) - 3/a^10 - a^(-8) + 
   5/a^6 - a^(-4) + (2*z^2)/a^12 - (9*z^2)/a^10 + (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (6*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22944] -> 
  -1 + 3/a^8 - 11/a^6 + 11/a^4 - a^(-2) - 6*z^2 + (6*z^2)/a^8 - 
   (30*z^2)/a^6 + (35*z^2)/a^4 - z^2/a^2 - 9*z^4 + (4*z^4)/a^8 - 
   (33*z^4)/a^6 + (48*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (16*z^6)/a^6 + (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 22945] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 
   6*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 - (2*z^2)/a^4 + (19*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (22*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 22946] -> 
  4 - a^(-8) + 2/a^6 + 2/a^4 - 6/a^2 + 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   z^2/a^4 - (13*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (15*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 22947] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + z^4/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22948] -> 1 - a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 
   a^(-4) + 2*z^2 + (5*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4 + z^4/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 - (2*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22949] -> -6 + a^(-6) - 5/a^4 + 8/a^2 + 5*a^2 - 
   2*a^4 - 15*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 17*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22950] -> 
  1 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22951] -> -1 + 2/a^10 - 7/a^8 + 8/a^6 - 5/a^4 + 
   4/a^2 - 3*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + (22*z^2)/a^6 - 
   (14*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (12*z^4)/a^8 + 
   (25*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 22952] -> 
  -3 - a^(-8) + 5/a^6 - 9/a^4 + 8/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (24*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22953] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (23*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^12 - (7*z^4)/a^10 - 
   z^4/a^8 + (24*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 22954] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^10 + z^2/a^8 + (12*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (25*z^4)/a^4 + (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (15*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22955] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   8*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22956] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 17*z^2 - (4*z^2)/a^2 - 22*a^2*z^2 + 
   8*a^4*z^2 + 31*z^4 - (6*z^4)/a^2 - 44*a^2*z^4 + 15*a^4*z^4 + 28*z^6 - 
   (4*z^6)/a^2 - 47*a^2*z^6 + 14*a^4*z^6 + 12*z^8 - z^8/a^2 - 27*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 22957] -> a^(-6) - 4/a^4 + 4/a^2 + a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 22958] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (6*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 22959] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22960] -> -1 - 2/a^4 + 4/a^2 + a^2 - 2*a^4 + a^6 - 
   10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 17*z^4 - z^4/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22961] -> 
  -1 + 2/a^10 - 7/a^8 + 7/a^6 - 3/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (19*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (23*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 22962] -> -1 + a^(-10) - 3/a^8 + 2/a^6 - a^(-4) + 
   3/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22963] -> -2*a^4 + 4*a^6 + 5*a^8 - 8*a^10 + 2*a^12 - 
   7*a^4*z^2 + 10*a^6*z^2 + 30*a^8*z^2 - 28*a^10*z^2 + 5*a^12*z^2 - 
   9*a^4*z^4 + 12*a^6*z^4 + 48*a^8*z^4 - 32*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 22964] -> -7 - a^(-8) + 4/a^6 - 9/a^4 + 12/a^2 + 
   2*a^2 - 21*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (32*z^2)/a^2 + 
   5*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (35*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 22965] -> 
  2 + a^(-4) - 2/a^2 + 14*z^2 + (4*z^2)/a^4 - (14*z^2)/a^2 - 5*a^2*z^2 + 
   39*z^4 + (6*z^4)/a^4 - (30*z^4)/a^2 - 14*a^2*z^4 + 46*z^6 + (4*z^6)/a^4 - 
   (28*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 22966] -> 
  a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 2*z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (21*z^2)/a^6 - (23*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (28*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22967] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 + 7*z^2 - 
   32*a^2*z^2 + 47*a^4*z^2 - 17*a^6*z^2 + 9*z^4 - 50*a^2*z^4 + 76*a^4*z^4 - 
   25*a^6*z^4 + 5*z^6 - 38*a^2*z^6 + 68*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 22968] -> -a^(-4) + 2/a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22969] -> 
  16 + 3/a^4 - 12/a^2 - 6*a^2 + 47*z^2 + (9*z^2)/a^4 - (37*z^2)/a^2 - 
   16*a^2*z^2 + 66*z^4 + (10*z^4)/a^4 - (49*z^4)/a^2 - 20*a^2*z^4 + 55*z^6 + 
   (5*z^6)/a^4 - (35*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 22970] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 - 
   (14*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22971] -> 
  1 - 2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*a^2 + a^4 + z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (20*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22972] -> -2/a^8 + 6/a^6 - 6/a^4 + 3/a^2 - a^2 + a^4 - 
   z^2 - z^2/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22973] -> 
  3 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - (6*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, Knot[15, Alternating, 22974] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 3/a^2 - a^2 + a^4 - 2*z^2 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - z^4 - (5*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2, Knot[15, Alternating, 22975] -> 
  2 - a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 4/a^4 + 3*z^2 + (5*z^2)/a^10 - 
   (11*z^2)/a^8 + (14*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 22976] -> -1 + a^(-10) - 5/a^8 + 10/a^6 - 11/a^4 + 
   7/a^2 - 7*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (29*z^2)/a^4 + 
   (23*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (30*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 22977] -> 
  -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 3*z^2 + 7*a^2*z^2 + 8*a^4*z^2 - 
   17*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 3*a^4*z^4 - 23*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 22978] -> 1 - a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 
   a^(-4) + 2*z^2 + (5*z^2)/a^10 - (14*z^2)/a^8 + (15*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 22979] -> 
  4 + a^(-6) - 3/a^4 + a^2 - 2*a^4 + 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 22980] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 34*z^2 + 
   (8*z^2)/a^4 - (30*z^2)/a^2 - 12*a^2*z^2 + 68*z^4 + (10*z^4)/a^4 - 
   (51*z^4)/a^2 - 23*a^2*z^4 + 66*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 22981] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + a^(-6) + a^(-2) - (5*z^2)/a^12 + 
   (13*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (9*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 
   (7*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 22982] -> 1 - a^(-6) + 2/a^4 - a^(-2) + a^2 - 2*a^4 + 
   a^6 + 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 22983] -> -3 + a^(-8) - 4/a^6 + 4/a^4 + 
   a^(-2) + 3*a^2 - a^4 - 13*z^2 + z^2/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 8*z^6 + (3*z^6)/a^4 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 22984] -> 
  -a^2 + 2*a^4 - a^6 + 7*a^8 - 8*a^10 + 2*a^12 - 3*a^2*z^2 + 4*a^4*z^2 + 
   4*a^6*z^2 + 18*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 9*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 22985] -> -2 + a^(-10) - 5/a^8 + 9/a^6 - 
   10/a^4 + 8/a^2 - 6*z^2 + z^2/a^10 - (9*z^2)/a^8 + (23*z^2)/a^6 - 
   (28*z^2)/a^4 + (22*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - 
   (33*z^4)/a^4 + (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 22986] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 22987] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (25*z^2)/a^8 + (25*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (30*z^4)/a^6 - (14*z^4)/a^4 + 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (12*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 22988] -> -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 13*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 + 17*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22989] -> 
  -11 - 4/a^4 + 12/a^2 + 5*a^2 - 2*a^4 + a^6 - 31*z^2 - (4*z^2)/a^4 + 
   (22*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 33*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 26*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 16*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 22990] -> 
  1 - 2/a^6 + 5/a^4 - 3/a^2 - a^4 + a^6 - z^2/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 22991] -> 
  -4*a^4 + 12*a^6 - 5*a^8 - 4*a^10 + 2*a^12 - 12*a^4*z^2 + 28*a^6*z^2 + 
   9*a^8*z^2 - 22*a^10*z^2 + 5*a^12*z^2 - 13*a^4*z^4 + 27*a^6*z^4 + 
   34*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 
   32*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 22992] -> 
  -2*a^2 + 5*a^4 - a^6 + a^8 - 3*a^10 + a^12 - 5*a^2*z^2 + 10*a^4*z^2 + 
   2*a^6*z^2 + 9*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   8*a^6*z^4 + 13*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   7*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 22993] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 4*z^4 + 16*a^2*z^4 - 7*a^4*z^4 - 
   7*a^6*z^4 + 5*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 22994] -> -4*a^4 + 13*a^6 - 8*a^8 - a^10 + 
   a^12 - 12*a^4*z^2 + 32*a^6*z^2 - 3*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 8*a^4*z^4 + 32*a^6*z^4 + 10*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 17*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 22995] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 
   64*z^2 + (12*z^2)/a^4 - (50*z^2)/a^2 - 22*a^2*z^2 + 93*z^4 + 
   (13*z^4)/a^4 - (67*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + (6*z^6)/a^4 - 
   (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 22996] -> 
  4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 + 10*z^2 + (5*z^2)/a^4 - (17*z^2)/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + 12*z^4 + (4*z^4)/a^4 - (19*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 22997] -> -9 + 2/a^2 + 14*a^2 - 6*a^4 - 22*z^2 + 
   (5*z^2)/a^2 + 28*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 - 10*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22998] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 2*z^2 - 10*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 22999] -> 
  -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - 5*z^2 + 15*a^2*z^2 - 2*a^4*z^2 - 
   14*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 7*a^4*z^4 - 20*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 23000] -> 2 - a^(-2) + 2*a^2 - 2*a^4 - a^6 + a^8 + 
   4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 3*a^2*z^4 - 10*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23001] -> -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 - 
   3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 - 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23002] -> 
  1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 4*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 19*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   11*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23003] -> 3 - a^(-2) - 2*a^2 + 3*a^4 - 3*a^6 + a^8 + 
   6*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 
   5*z^4 - z^4/a^2 - a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23004] -> -6 - a^(-6) + 2/a^4 + 2/a^2 + 6*a^2 - 
   3*a^4 + a^6 - 15*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 23005] -> -2 + a^(-10) - 4/a^8 + 6/a^6 - 
   7/a^4 + 7/a^2 - 6*z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - 
   (23*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (30*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23006] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 23007] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   15*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23008] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   19*z^2 + z^2/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 
   23*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23009] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + z^4 - z^4/a^2 + 11*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 
   2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23010] -> -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 2*z^2 + 
   6*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23011] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 23012] -> -1 - 2/a^4 + 4/a^2 + a^2 - 
   2*a^4 + a^6 - 8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23013] -> 
  4 - a^(-6) + 2/a^4 - 2/a^2 - 2*a^2 - a^4 + a^6 + 4*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23014] -> 
  -1 + 2/a^10 - 7/a^8 + 5/a^6 + a^(-4) + a^(-2) - 3*z^2 + (3*z^2)/a^10 - 
   (16*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (25*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 23015] -> -6 - a^(-6) + 2/a^4 + 2/a^2 + 5*a^2 - a^4 - 
   15*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 12*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 23016] -> -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 
   17*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23017] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 5*z^2 + 12*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 
   2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 2*a^4*z^4 - 10*a^6*z^4 + 5*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 23018] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23019] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   14*z^2 - z^2/a^8 + (8*z^2)/a^6 - (21*z^2)/a^4 + (27*z^2)/a^2 + 3*a^2*z^2 - 
   23*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (33*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 23020] -> -2 + a^(-10) - 4/a^8 + 5/a^6 - 
   5/a^4 + 6/a^2 - 6*z^2 + z^2/a^10 - (8*z^2)/a^8 + (18*z^2)/a^6 - 
   (21*z^2)/a^4 + (20*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (29*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23021] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23022] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 23023] -> 3/a^8 - 10/a^6 + 10/a^4 - 
   2/a^2 + (11*z^2)/a^8 - (39*z^2)/a^6 + (43*z^2)/a^4 - (13*z^2)/a^2 + 
   (13*z^4)/a^8 - (61*z^4)/a^6 + (75*z^4)/a^4 - (24*z^4)/a^2 + (6*z^6)/a^8 - 
   (44*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 23024] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 
   3/a^2 - 6*z^2 + (6*z^2)/a^8 - (17*z^2)/a^6 + (7*z^2)/a^4 + (11*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + (10*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23025] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (20*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23026] -> 
  -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 - 5*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (4*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 23027] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   3*a^2 - 2*a^4 + a^6 - 10*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 23028] -> 
  -1 - a^(-6) + a^(-4) + 2/a^2 - a^4 + a^6 - 7*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 23029] -> 
  -a^2 + a^4 + 3*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 3*a^2*z^2 + a^4*z^2 + 
   12*a^6*z^2 + 11*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 
   16*a^6*z^4 + 18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   11*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 23030] -> -a^2 + a^4 + 4*a^6 - a^8 - 3*a^10 + a^12 - 
   3*a^2*z^2 + 2*a^4*z^2 + 11*a^6*z^2 + 8*a^8*z^2 - 12*a^10*z^2 + 
   2*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 14*a^6*z^4 + 16*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 23031] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 3*a^4*z^4 - 
   10*a^6*z^4 + 5*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 23032] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23033] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 23034] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 15*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 + 7*a^4*z^4 - 
   6*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23035] -> 2/a^8 - 6/a^6 + 5/a^4 - 4*z^2 + 
   (5*z^2)/a^8 - (15*z^2)/a^6 + (9*z^2)/a^4 + (6*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (18*z^4)/a^6 + (9*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23036] -> -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 - z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 23037] -> 
  -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 23038] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (16*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (16*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 23039] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 15*z^2 + 
   (3*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23040] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 11*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 16*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 23041] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 3*z^2 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + (3*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 23042] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 
   2/a^4 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (22*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23043] -> 
  1 - a^(-8) + 2/a^6 - a^(-2) - a^4 + a^6 + 3*z^2 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 23044] -> -2*a^2 + 5*a^4 - 2*a^6 + 4*a^8 - 6*a^10 + 
   2*a^12 - 5*a^2*z^2 + 9*a^4*z^2 + 3*a^6*z^2 + 12*a^8*z^2 - 15*a^10*z^2 + 
   3*a^12*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 10*a^6*z^4 + 15*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 8*a^6*z^6 + 9*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 23045] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (22*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23046] -> -1 + 2*a^2 + a^6 + a^8 - 3*a^10 + a^12 - 
   2*z^2 + 3*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 + 3*a^8*z^2 - 6*a^10*z^2 + 
   a^12*z^2 - z^4 + 2*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 + 4*a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 23047] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23048] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 23049] -> 
  -2*a^2 + 5*a^4 - a^6 + a^8 - 3*a^10 + a^12 - 5*a^2*z^2 + 9*a^4*z^2 + 
   6*a^6*z^2 + 3*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   8*a^4*z^4 + 10*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 23050] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23051] -> a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23052] -> 2 + 2/a^6 - 7/a^4 + 6/a^2 - 2*a^2 + 9*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (15*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 23053] -> 
  1 + a^(-6) - 3/a^4 + 2/a^2 + a^2 - a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23054] -> a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23055] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 23056] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^4 - (6*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23057] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 7*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - a^4*z^2 + 
   7*z^4 + z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23058] -> a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23059] -> 
  2 - a^(-12) + 2/a^10 - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 23060] -> -1 - a^(-10) + 3/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 + a^2 - 2*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^6 - z^4/a^4 - z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23061] -> 2 - 3*a^2 + 5*a^6 - 3*a^8 + 4*z^2 - 
   6*a^2*z^2 - 8*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 + 7*z^4 - 11*a^2*z^4 - 
   15*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 12*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 23062] -> 
  -1 + a^(-2) + 3*a^6 - 2*a^8 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 + (2*z^4)/a^2 - 9*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23063] -> -4 + 2/a^2 + 3*a^2 + a^6 - a^8 - 7*z^2 + 
   (3*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23064] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 2*a^4 + 
   2*a^6 - a^8 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*a^6*z^4 - 
   2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 23065] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23066] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 2*a^2 + 
   2*a^4 - a^6 - 16*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 14*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[15, Alternating, 23067] -> 2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + 
   a^14 + 7*a^6*z^2 - 5*a^8*z^2 + 15*a^10*z^2 - 4*a^12*z^2 - 3*a^14*z^2 + 
   9*a^6*z^4 - 6*a^8*z^4 + 12*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 
   5*a^6*z^6 - 8*a^8*z^6 - a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 23068] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   4*z^4 - (3*z^4)/a^2 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23069] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + 3*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 + 
   2*a^10*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - a^6*z^4 + 3*a^8*z^4 + 5*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 23070] -> 
  -1 + 4*a^2 - 6*a^4 + 9*a^6 - 6*a^8 + a^10 - 3*z^2 + 13*a^2*z^2 - 
   20*a^4*z^2 + 25*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 
   24*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 23071] -> a^2 - 2*a^4 + 7*a^6 - 9*a^8 + 
   6*a^10 - 2*a^12 + 3*a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 - 21*a^8*z^2 + 
   14*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 20*a^6*z^4 - 
   24*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 12*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 23072] -> a^4 + 3*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 
   2*a^8*z^2 + 8*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 - a^6*z^4 + 
   8*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 4*a^8*z^6 + 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 23073] -> 1 - a^2 + 3*a^4 - 5*a^6 + 4*a^8 - a^12 + 
   2*z^2 - 3*a^2*z^2 + 6*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + 2*a^4*z^4 - 7*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 23074] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23075] -> 2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + a^14 + 
   a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 15*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 
   2*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + 15*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 8*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 23076] -> 3*a^6 - 4*a^8 + 6*a^10 - 
   5*a^12 + a^14 + 9*a^6*z^2 - 8*a^8*z^2 + 15*a^10*z^2 - 6*a^12*z^2 - 
   a^14*z^2 + a^4*z^4 + 8*a^6*z^4 - 9*a^8*z^4 + 14*a^10*z^4 + a^12*z^4 - 
   a^14*z^4 + a^4*z^6 + a^6*z^6 - 8*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 23077] -> 
  -a^(-14) + a^(-12) + 3/a^10 - 8/a^8 + 6/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 + 
   (4*z^2)/a^10 - (20*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (5*z^4)/a^10 - (24*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 23078] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - 
   (3*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 23079] -> -3/a^14 + 7/a^12 - 5/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) - (4*z^2)/a^14 + (20*z^2)/a^12 - (17*z^2)/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (17*z^4)/a^12 - (22*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (14*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 23080] -> -2/a^14 + 4/a^12 - 2/a^10 - 
   a^(-8) + 2/a^4 - z^2/a^14 + (8*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (12*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 23081] -> 
  a^2 + a^4 - 3*a^6 + a^8 + 4*a^10 - 3*a^12 + 4*a^2*z^2 - a^4*z^2 - 
   8*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - 21*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 
   8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 23082] -> 2*a^2 - 2*a^4 + a^8 + 2*a^10 - 
   2*a^12 + z^2 + 3*a^2*z^2 - 3*a^4*z^2 - a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 23083] -> 
  2 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 2*a^2 + a^4 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23084] -> 1 - 2/a^12 + 5/a^10 - 4/a^8 + 2/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23085] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + 
   (4*z^2)/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (14*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 23086] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 23087] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 
   3*a^2 + a^4 - a^6 - 13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 23088] -> 
  -1 + 4*a^2 - 4*a^4 + 5*a^6 - 4*a^8 + a^10 - 3*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 11*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23089] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23090] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23091] -> 1 - 2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*a^2 + 
   a^4 - z^2/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23092] -> 2*a^2 - 2*a^4 + a^6 - 2*a^8 + 5*a^10 - 
   3*a^12 + 5*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 17*a^10*z^2 - 
   4*a^12*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - 23*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 9*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 23093] -> 1 - a^2 + 2*a^4 - 3*a^6 + 2*a^8 + 2*a^10 - 
   2*a^12 + 2*z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 23094] -> 1 - a^4 + 2*a^8 - a^12 + 2*z^2 - a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   2*a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 23095] -> 
  -2 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23096] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 3*a^2 + a^4 - 
   a^6 - 15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 14*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[15, Alternating, 23097] -> -2 + 7*a^2 - 8*a^4 + 8*a^6 - 
   5*a^8 + a^10 - 5*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - z^4 - z^4/a^2 + 11*a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 23098] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 23099] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23100] -> 1 - 2/a^12 + 5/a^10 - 5/a^8 + 5/a^6 - 
   5/a^4 + 2/a^2 + 3*z^2 - z^2/a^12 + (11*z^2)/a^10 - (15*z^2)/a^8 + 
   (13*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23101] -> 2 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   a^(-4) - a^(-2) + 2*z^2 + (4*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23102] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 5*a^8 + 6*a^10 - 3*a^12 + 7*a^2*z^2 - 14*a^4*z^2 + 
   16*a^6*z^2 - 17*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 20*a^6*z^4 - 26*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 14*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 23103] -> 
  1 - a^4 + a^6 - a^8 + 3*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   2*a^4*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 23104] -> 
  2 - 3*a^2 + 3*a^4 - 3*a^6 + 3*a^8 - a^12 + 3*z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 + 
   3*a^4*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 23105] -> 
  -1 + a^(-2) + a^2 - a^4 + a^6 + a^10 - a^12 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 3*a^4*z^4 - 
   a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 23106] -> a^(-2) - a^4 + a^6 - 2*z^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 6*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23107] -> 2 - a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 
   3/a^4 + 3*z^2 + (3*z^2)/a^10 - z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 - (6*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 23108] -> -a^(-10) + 3/a^8 - 2/a^6 + a^2 - 
   z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23109] -> 
  2 - a^2 - a^4 + a^6 - z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23110] -> 
  a^(-2) - a^4 + a^6 - z^2/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - z^4/a^2 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23111] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23112] -> 
  2 - 4*a^2 + 2*a^4 + 4*a^6 - 3*a^8 + 4*z^2 - 12*a^2*z^2 + 5*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + 7*z^4 - 16*a^2*z^4 + a^4*z^4 + 19*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 23113] -> -1 + a^(-2) - a^2 + 2*a^4 + 2*a^6 - 2*a^8 - 
   2*z^2 + z^2/a^2 - 4*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23114] -> -4 + 2/a^2 + 2*a^2 + 2*a^4 - a^8 - 9*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23115] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^6 - a^8 - 
   z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^4 - z^4/a^2 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 23116] -> 
  a^4 + a^6 - 3*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + 2*a^4*z^2 + 7*a^6*z^2 - 
   13*a^8*z^2 + 22*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 - a^4*z^4 + 14*a^6*z^4 - 
   23*a^8*z^4 + 22*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   17*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 23117] -> 2*a^4 - 2*a^6 + 2*a^8 + a^10 - 3*a^12 + 
   a^14 + 5*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 - 
   a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 23118] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23119] -> a^4 + a^6 - 2*a^8 + 4*a^10 - 
   4*a^12 + a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 11*a^10*z^2 - 
   5*a^12*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 10*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 
   2*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 23120] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 4*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 3*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23121] -> 
  a^2 + a^8 - a^10 + a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23122] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23123] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 15*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (16*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23124] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 23125] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 7*a^4*z^2 + 13*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 15*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23126] -> 
  1 - a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23127] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23128] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23129] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 23130] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   19*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23131] -> 2*a^4 - a^6 + a^8 - a^10 + 
   2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23132] -> 
  a^2 + a^8 - a^10 + a^2*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + z^4 - 
   a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23133] -> a^2 + a^8 - a^10 + a^2*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 + a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 
   2*a^2*z^6 - 3*a^4*z^6 - 4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   3*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 23134] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23135] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23136] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 - 
   2*a^4*z^2 + 20*a^6*z^2 - 20*a^8*z^2 + 8*a^10*z^2 - 5*a^4*z^4 + 
   21*a^6*z^4 - 15*a^8*z^4 - 3*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   12*a^6*z^6 - 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 23137] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 - a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 23138] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - 
   a^8 - 6*z^2 + z^2/a^2 + 17*a^2*z^2 - 19*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23139] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 
   17*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 18*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 10*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23140] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 - 
   a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 + a^6*z^4 - 7*a^8*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 23141] -> -2 + a^(-4) + 2*a^2 - 8*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23142] -> 3 - 5*a^2 + 4*a^4 - a^6 + 5*z^2 - 
   11*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 23143] -> a^(-2) - a^2 + a^4 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 23144] -> 
  1 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23145] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 23146] -> a^2 + a^4 - a^6 - 7*a^2*z^2 + 
   17*a^4*z^2 - 8*a^6*z^2 + 8*z^4 - 28*a^2*z^4 + 40*a^4*z^4 - 12*a^6*z^4 + 
   12*z^6 - 38*a^2*z^6 + 36*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 
   14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 23147] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 5*a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 9*a^2*z^4 + 3*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 23148] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 23149] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   3*z^2 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23150] -> 1 - 3*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 23151] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 16*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23152] -> 
  9 - 4/a^2 - 4*a^2 + 40*z^2 + (4*z^2)/a^4 - (24*z^2)/a^2 - 16*a^2*z^2 + 
   66*z^4 + (16*z^4)/a^4 - (53*z^4)/a^2 - 17*a^2*z^4 + 48*z^6 + 
   (17*z^6)/a^4 - (57*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 23153] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 22*z^2 + 
   (4*z^2)/a^4 - (18*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 15*z^4 + (8*z^4)/a^4 - 
   (21*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 23154] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 
   2*a^2 + 12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 
   19*z^4 + (7*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 23155] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 23156] -> 2 - a^2 - a^4 + a^6 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23157] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 + 
   10*a^2*z^2 - 14*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 13*a^2*z^4 - 
   13*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 23158] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 
   z^2 - 3*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + 
   4*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23159] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*a^2*z^2 - 
   7*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 6*a^2*z^4 - 4*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23160] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + (8*z^4)/a^2 - 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23161] -> a^(-6) - 3/a^4 + 3/a^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23162] -> 
  3 - a^(-2) - 2*a^4 + a^6 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23163] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 + z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + 
   a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23164] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23165] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 
   z^4/a^2 + 4*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 23166] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23167] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   7*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23168] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - z^4 - z^4/a^4 + z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 23169] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 
   2*a^4 + z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23170] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 - z^2/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 - a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 23171] -> 
  a^2 + a^6 - a^8 - z^2 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^2 - a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23172] -> -2/a^4 + 3/a^2 + a^2 - a^4 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + z^4/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 23173] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 3*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 13*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23174] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 21*z^2 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   11*a^2*z^2 + 44*z^4 + (7*z^4)/a^4 - (24*z^4)/a^2 - 13*a^2*z^4 + 37*z^6 + 
   (12*z^6)/a^4 - (37*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 23175] -> 4 - a^(-4) - 2*a^2 + 9*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23176] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 7*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 23177] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 23178] -> 7 - 3/a^2 - 3*a^2 + 29*z^2 + (2*z^2)/a^4 - 
   (16*z^2)/a^2 - 12*a^2*z^2 + 47*z^4 + (9*z^4)/a^4 - (33*z^4)/a^2 - 
   13*a^2*z^4 + 37*z^6 + (12*z^6)/a^4 - (39*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 23179] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 
   16*z^2 + (2*z^2)/a^4 - (12*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 13*z^4 + 
   (5*z^4)/a^4 - (14*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23180] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 10*z^2 - 24*a^2*z^2 + 11*a^4*z^2 + 29*z^4 - 
   (8*z^4)/a^2 - 45*a^2*z^4 + 13*a^4*z^4 + 38*z^6 - (12*z^6)/a^2 - 
   37*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 23181] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - z^2 + z^2/a^2 - a^2*z^2 - 8*a^4*z^2 + 
   5*a^6*z^2 + 6*z^4 - (4*z^4)/a^2 - a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 23182] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (13*z^2)/a^4 - 3*z^4 + (5*z^4)/a^8 - (14*z^4)/a^6 + (11*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23183] -> -3/a^6 + 5/a^4 - a^(-2) + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23184] -> 5 - 2/a^2 - 2*a^2 + 7*z^2 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23185] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23186] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23187] -> 1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   2*z^2 - z^2/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23188] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - 
   4*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 23189] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 
   z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 23190] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (13*z^2)/a^4 - 3*z^4 + (5*z^4)/a^8 - (14*z^4)/a^6 + (11*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23191] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - 
   z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 23192] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23193] -> a^(-2) - a^4 + a^6 - z^2 + z^2/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 23194] -> 
  2 + a^(-4) - 4/a^2 + 6*a^2 - 4*a^4 - z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23195] -> -1 + a^(-6) - 4/a^4 + 4/a^2 + 3*a^2 - 
   2*a^4 + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 23196] -> 
  -2/a^14 + 8/a^12 - 9/a^10 + a^(-8) + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (17*z^2)/a^12 - (20*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (20*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 23197] -> -2/a^14 + 9/a^12 - 13/a^10 + 5/a^8 + 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (18*z^2)/a^12 - (27*z^2)/a^10 + 
   (8*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (23*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 23198] -> 
  1 + a^(-10) - 4/a^8 + 2/a^6 + 4/a^4 - 3/a^2 + z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23199] -> -2 + 3/a^8 - 12/a^6 + 12/a^4 - 8*z^2 + 
   (6*z^2)/a^8 - (32*z^2)/a^6 + (38*z^2)/a^4 + (2*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (51*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (36*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23200] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 
   3/a^2 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23201] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (6*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + 
   (11*z^4)/a^8 - (12*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 + z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 23202] -> a^(-12) - 4/a^10 + 4/a^8 - 
   2/a^6 + 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + (11*z^2)/a^8 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + (13*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23203] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23204] -> 
  -3 + 9*a^2 - 7*a^4 + 3*a^6 - a^8 - 7*z^2 + 22*a^2*z^2 - 18*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23205] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   19*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23206] -> 
  1 - a^(-2) + 4*a^2 - 5*a^4 + 3*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23207] -> 
  7 - a^(-6) + 8/a^4 - 13/a^2 + 27*z^2 - (5*z^2)/a^6 + (38*z^2)/a^4 - 
   (65*z^2)/a^2 + 38*z^4 - (8*z^4)/a^6 + (59*z^4)/a^4 - (111*z^4)/a^2 + 
   25*z^6 - (5*z^6)/a^6 + (43*z^6)/a^4 - (93*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (42*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 23208] -> 2 - a^(-6) + 7/a^4 - 9/a^2 + 
   2*a^2 - 5*z^2 - (3*z^2)/a^6 + (20*z^2)/a^4 - (26*z^2)/a^2 + 8*a^2*z^2 - 
   16*z^4 - (3*z^4)/a^6 + (21*z^4)/a^4 - (30*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (18*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23209] -> 
  -3 - a^(-6) + 6/a^4 - 5/a^2 + 4*a^2 - 18*z^2 - (3*z^2)/a^6 + (17*z^2)/a^4 - 
   (15*z^2)/a^2 + 12*a^2*z^2 - 28*z^4 - (3*z^4)/a^6 + (19*z^4)/a^4 - 
   (20*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (15*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 23210] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 5*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23211] -> 9 - 2/a^6 + 12/a^4 - 18/a^2 + 31*z^2 - 
   (8*z^2)/a^6 + (49*z^2)/a^4 - (78*z^2)/a^2 + 41*z^4 - (10*z^4)/a^6 + 
   (69*z^4)/a^4 - (123*z^4)/a^2 + 26*z^6 - (5*z^6)/a^6 + (46*z^6)/a^4 - 
   (98*z^6)/a^2 + 8*z^8 - z^8/a^6 + (15*z^8)/a^4 - (43*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 23212] -> 
  1 - a^(-6) + 6/a^4 - 6/a^2 - a^2 + 2*a^4 - 2*z^2 - (2*z^2)/a^6 + 
   (11*z^2)/a^4 - (13*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (8*z^4)/a^4 - (11*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 23213] -> -1 + a^(-10) - 4/a^8 + 6/a^6 - 6/a^4 + 
   5/a^2 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (16*z^4)/a^4 + 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23214] -> 
  -5 - 3/a^4 + 8/a^2 + a^2 - a^4 + a^6 - 21*z^2 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 16*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23215] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^2 - a^4 + a^6 - 7*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 23216] -> -3*a^4 + 8*a^6 - a^8 - 4*a^10 + a^12 - 
   10*a^4*z^2 + 19*a^6*z^2 + 20*a^8*z^2 - 23*a^10*z^2 + 4*a^12*z^2 - 
   12*a^4*z^4 + 20*a^6*z^4 + 45*a^8*z^4 - 32*a^10*z^4 + 4*a^12*z^4 - 
   6*a^4*z^6 + 14*a^6*z^6 + 37*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 23217] -> -a^2 + a^4 + 3*a^6 + a^8 - 4*a^10 + a^12 - 
   3*a^2*z^2 + a^4*z^2 + 13*a^6*z^2 + 8*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + a^4*z^4 + 19*a^6*z^4 + 11*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 23218] -> 
  3 - 13*a^2 + 20*a^4 - 9*a^6 + 10*z^2 - 44*a^2*z^2 + 63*a^4*z^2 - 
   22*a^6*z^2 + 12*z^4 - 61*a^2*z^4 + 88*a^4*z^4 - 27*a^6*z^4 + 6*z^6 - 
   43*a^2*z^6 + 71*a^4*z^6 - 19*a^6*z^6 + z^8 - 15*a^2*z^8 + 34*a^4*z^8 - 
   7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 23219] -> -3 + a^(-2) + 8*a^4 - 5*a^6 - 9*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 23*a^4*z^2 - 10*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23220] -> 
  -1 + a^(-10) - 5/a^8 + 10/a^6 - 11/a^4 + 7/a^2 - 3*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 23221] -> 1 - a^(-8) + 2/a^6 - a^(-2) - a^2 + a^4 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23222] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   15*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23223] -> 
  4 - 2/a^4 + 3/a^2 - 6*a^2 + a^4 + a^6 - 3*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23224] -> 
  19 + 4/a^4 - 15/a^2 - 7*a^2 + 65*z^2 + (14*z^2)/a^4 - (54*z^2)/a^2 - 
   22*a^2*z^2 + 94*z^4 + (14*z^4)/a^4 - (71*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + 
   (6*z^6)/a^4 - (46*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 23225] -> -10 - 4/a^4 + 12/a^2 + 3*a^2 - a^4 + a^6 - 
   31*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 33*z^4 - z^4/a^4 + (14*z^4)/a^2 + 27*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 16*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23226] -> 
  -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^2 - a^4 + a^6 + z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (9*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23227] -> 
  -4*a^4 + 12*a^6 - 6*a^8 - 2*a^10 + a^12 - 12*a^4*z^2 + 26*a^6*z^2 + 
   13*a^8*z^2 - 23*a^10*z^2 + 5*a^12*z^2 - 13*a^4*z^4 + 26*a^6*z^4 + 
   38*a^8*z^4 - 31*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 
   33*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 23228] -> 
  -2*a^2 + 5*a^4 - 2*a^6 + 3*a^8 - 4*a^10 + a^12 - 5*a^2*z^2 + 8*a^4*z^2 + 
   6*a^6*z^2 + 8*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 4*a^2*z^4 + 7*a^4*z^4 + 
   12*a^6*z^4 + 12*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   8*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 23229] -> 5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + 
   (5*z^2)/a^4 - (15*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 8*z^4 + 
   (4*z^4)/a^4 - (18*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 23230] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 24*z^2 + (5*z^2)/a^2 + 31*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 32*a^2*z^4 + 5*a^4*z^4 - 
   6*a^6*z^4 - 11*z^6 + z^6/a^2 + 18*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23231] -> -3 - a^(-4) + 4/a^2 + a^4 - 11*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 17*a^2*z^4 + 9*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 23232] -> 
  1 - a^(-4) + 3/a^2 - 5*a^2 + 3*a^4 + 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   16*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   17*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23233] -> 5 - a^(-4) - 3*a^2 - a^4 + a^6 + 2*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 8*a^4*z^2 + 4*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23234] -> 
  -2/a^4 + 4/a^2 - a^2 - a^4 + a^6 - 3*z^2 - z^2/a^6 + (6*z^2)/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 + 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 23235] -> 3/a^8 - 9/a^6 + 8/a^4 - a^(-2) + 
   (12*z^2)/a^8 - (38*z^2)/a^6 + (37*z^2)/a^4 - (10*z^2)/a^2 + (13*z^4)/a^8 - 
   (59*z^4)/a^6 + (66*z^4)/a^4 - (21*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (63*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (33*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 23236] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 3*z^2 + 
   (6*z^2)/a^8 - (16*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (12*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23237] -> -2/a^4 + 4/a^2 - a^2 - a^4 + a^6 - 7*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23238] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23239] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 4*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 - 
   (6*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (3*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 23240] -> 3 - a^(-2) - 3*a^2 + 5*a^4 - 
   4*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 10*a^4*z^2 - 9*a^6*z^2 + 
   3*a^8*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 23241] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^2 - a^4 + a^6 - 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 23242] -> 
  2/a^6 - 7/a^4 + 7/a^2 - a^2 + 5*z^2 + (6*z^2)/a^6 - (22*z^2)/a^4 + 
   (19*z^2)/a^2 - 6*a^2*z^2 + 14*z^4 + (4*z^4)/a^6 - (24*z^4)/a^4 + 
   (23*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 23243] -> 
  -1 - a^(-8) + 2/a^6 + a^2 - a^4 + a^6 - 3*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 - (3*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 
   z^6 + z^6/a^2 + a^2*z^6, Knot[15, Alternating, 23244] -> 
  -1 + 2*a^2 + 3*a^8 - 4*a^10 + a^12 - 2*z^2 + 2*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 + 7*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 + 2*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 23245] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 5*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 23246] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 - 2*a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + 2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23247] -> 4 + a^(-4) - 4/a^2 + a^2 - a^6 + 8*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 8*z^4 + 
   z^4/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 4*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 23248] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 14*z^4 + 
   (7*z^4)/a^4 - (9*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + 
   (5*z^6)/a^4 - (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23249] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 23250] -> -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 23251] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 23252] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 - z^4/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 23253] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 - 
   z^2 + 8*a^2*z^2 - 19*a^4*z^2 + 27*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 12*a^2*z^4 - 28*a^4*z^4 + 30*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 23254] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (10*z^2)/a^12 - (2*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (11*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 23255] -> a^2 - 2*a^4 + 7*a^6 - 8*a^8 + 4*a^10 - 
   a^12 + 3*a^2*z^2 - 9*a^4*z^2 + 23*a^6*z^2 - 23*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 28*a^6*z^4 - 27*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 17*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 23256] -> a^6 + a^8 - a^14 + 5*a^6*z^2 + 3*a^8*z^2 + 
   5*a^10*z^2 + 3*a^12*z^2 - 4*a^14*z^2 + 8*a^6*z^4 - a^8*z^4 + 6*a^10*z^4 + 
   11*a^12*z^4 - 4*a^14*z^4 + 5*a^6*z^6 - 7*a^8*z^6 - 2*a^10*z^6 + 
   9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 23257] -> 
  2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 5*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 23258] -> -2/a^14 + 4/a^12 - 2/a^10 - 3/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (13*z^4)/a^10 - 
   (21*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 23259] -> -3/a^14 + 7/a^12 - 6/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - (4*z^2)/a^14 + (20*z^2)/a^12 - (17*z^2)/a^10 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (17*z^4)/a^12 - 
   (22*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (14*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 23260] -> 
  -2/a^14 + 4/a^12 - 2/a^10 - 2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (8*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 23261] -> -a^(-14) + a^(-12) + 2/a^10 - 
   6/a^8 + 5/a^6 - (3*z^2)/a^14 + (10*z^2)/a^12 - (16*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (8*z^4)/a^10 - 
   (22*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 23262] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (6*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 23263] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (4*z^2)/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (14*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 23264] -> -a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 6/a^4 + 
   4/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (16*z^2)/a^6 - 
   (15*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + 
   (17*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23265] -> -a^(-14) + a^(-12) + 2/a^10 - 6/a^8 + 
   5/a^6 - z^2/a^14 + (5*z^2)/a^12 + (4*z^2)/a^10 - (13*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - 
   (15*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 23266] -> 
  1 - 2/a^12 + 5/a^10 - 5/a^8 + 2/a^6 + a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   (5*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23267] -> 1 - a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - a^(-2) + z^2 + (4*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23268] -> 2*a^2 - 2*a^4 + a^6 - a^8 + 3*a^10 - 
   2*a^12 + 5*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 - 21*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 23269] -> -5 - 2/a^4 + 5/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   10*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 12*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23270] -> -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 23271] -> -6 - a^(-4) + 4/a^2 + 8*a^2 - 6*a^4 + 
   2*a^6 - 18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 21*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23272] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23273] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + z^2/a^2 - 
   8*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23274] -> -7 - a^(-4) + 4/a^2 + 11*a^2 - 9*a^4 + 
   3*a^6 - 20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 29*a^2*z^2 - 23*a^4*z^2 + 
   6*a^6*z^2 - 23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 33*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23275] -> 
  1 - a^2 + 2*a^4 - 2*a^6 + 3*a^10 - 2*a^12 + 2*z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - 4*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 23276] -> 
  -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 23277] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 8*a^2*z^2 - 20*a^4*z^2 + 
   24*a^6*z^2 - 20*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 
   22*a^4*z^4 + 26*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 23278] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + a^10 - a^12 + 3*z^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   6*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 23279] -> -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 - 
   5*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23280] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23281] -> 
  a^4 - a^8 + 5*a^10 - 5*a^12 + a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 
   18*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 12*a^8*z^4 + 
   17*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 23282] -> -a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   3/a^4 + 3/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23283] -> 1 - 2/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23284] -> -1 + a^(-8) - a^(-6) + a^(-2) + a^4 + 
   2*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 7*z^4 + (6*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (4*z^6)/a^2 - 3*a^2*z^6 + z^8, Knot[15, Alternating, 23285] -> 
  -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 11*z^2 + (4*z^2)/a^2 + 
   14*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23286] -> 1 - a^4 + 2*a^6 - 3*a^8 + 
   4*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 
   13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 23287] -> 1 - a^4 + a^6 + a^10 - a^12 + 
   2*z^2 - a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - 10*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 23288] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 3*z^2 + 12*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23289] -> 2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - 
   a^(-2) + z^2 + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 23290] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*a^8 + 
   4*a^10 - 2*a^12 + 3*z^2 - 7*a^2*z^2 + 6*a^4*z^2 - 7*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 7*a^2*z^4 + 4*a^4*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 23291] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23292] -> -1 + a^(-2) + a^2 - a^6 + a^8 + a^10 - 
   a^12 - 2*z^2 + z^2/a^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 
   a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 23293] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23294] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 23295] -> 
  -a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 5/a^4 + 4/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 23296] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 - z^2/a^10 + (9*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (6*z^4)/a^8 - (11*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23297] -> 2 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 23298] -> -a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^4 - a^(-2) + a^2 - z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23299] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 23300] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23301] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23302] -> 
  2 - 2*a^2 + a^4 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 13*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 23303] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 3*a^2*z^2 + 2*a^4*z^2 - 2*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   9*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23304] -> -1 + 4*a^2 - 2*a^4 + z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23305] -> 
  -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 + z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 23306] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 9*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23307] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 - 
   a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23308] -> 
  1 - 2*a^4 + 6*a^6 - 6*a^8 + 2*a^10 + z^2 + 2*a^2*z^2 - 13*a^4*z^2 + 
   21*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - z^4 + 6*a^2*z^4 - 21*a^4*z^4 + 
   24*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 14*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23309] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 
   2*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23310] -> 
  1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 - 2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + z^4/a^2 + 19*a^2*z^4 - 25*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23311] -> -1 + a^(-2) + 3*a^6 - 2*a^8 - 4*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23312] -> 
  -2 - a^(-4) + 2/a^2 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23313] -> a^2 - a^4 + 2*a^6 - a^10 + z^2 - 
   a^2*z^2 - a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23314] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23315] -> 
  a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23316] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23317] -> -4 + 2/a^2 + 4*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   12*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23318] -> 
  a^(-4) - a^(-2) + a^4 + a^6 - a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 23319] -> 2*a^4 - 2*a^6 + a^8 + 3*a^10 - 4*a^12 + 
   a^14 + 5*a^4*z^2 - 5*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - 12*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 23320] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + z^2 + 
   3*a^2*z^2 - 13*a^4*z^2 + 18*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 2*z^4 + 
   a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23321] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23322] -> a^2 + a^6 - a^8 + z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 23323] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 3*a^2 + 3*a^4 - a^6 + 3*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 - 
   z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 23324] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23325] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 23326] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23327] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + a^2*z^2 + a^4*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   2*z^4 + 6*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   9*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23328] -> a^4 + a^6 - 3*a^8 + 7*a^10 - 
   7*a^12 + 2*a^14 + 2*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 22*a^10*z^2 - 
   12*a^12*z^2 + a^14*z^2 + a^4*z^4 + 10*a^6*z^4 - 21*a^8*z^4 + 22*a^10*z^4 - 
   4*a^12*z^4 - 2*a^4*z^6 + 7*a^6*z^6 - 16*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 
   4*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 23329] -> 
  1 - 2/a^8 + 4/a^6 - 4/a^4 + 3/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23330] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 - z^2 + 
   8*a^2*z^2 - 16*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   15*a^2*z^4 - 24*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23331] -> a^2 - a^4 + 5*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   2*a^2*z^2 - 6*a^4*z^2 + 18*a^6*z^2 - 18*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 11*a^4*z^4 + 22*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 23332] -> 
  2*a^4 - a^6 - 2*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 
   14*a^8*z^2 + 23*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 - a^4*z^4 + 13*a^6*z^4 - 
   24*a^8*z^4 + 22*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   17*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 23333] -> -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 
   7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 23334] -> 
  a^2 - a^6 + 2*a^8 + a^10 - 3*a^12 + a^14 + a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 - a^2*z^4 + 4*a^4*z^4 - 
   4*a^6*z^4 - 3*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 23335] -> 
  -2 + 2/a^2 + a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   13*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23336] -> 
  2 - a^2 - a^4 + a^6 + z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 23337] -> 2 - 2*a^2 + 2*a^6 - a^8 - 2*z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23338] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 3*z^4 + (7*z^4)/a^4 - 
   (14*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23339] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 23340] -> 
  1 + a^(-6) - 3/a^4 + 2/a^2 + a^2 - a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 23341] -> 2 + a^(-6) - 2/a^4 + a^2 - a^4 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 23342] -> 
  1 - a^2 + 4*a^6 - 4*a^8 + a^10 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 23*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23343] -> 
  2*a^4 - a^6 - a^8 + 4*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 
   10*a^8*z^2 + 17*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 - a^4*z^4 + 12*a^6*z^4 - 
   21*a^8*z^4 + 19*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 11*a^6*z^6 - 
   16*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 23344] -> a^2 + a^4 - a^6 - 5*z^2 + z^2/a^2 + 
   4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 
   12*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23345] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23346] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23347] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 23348] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 
   a^2*z^2 - 3*a^4*z^2 + 15*a^6*z^2 - 13*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 12*a^4*z^4 + 23*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 23349] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (11*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23350] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23351] -> 
  a^2 - a^8 + 4*a^10 - 4*a^12 + a^14 + a^2*z^2 + 2*a^4*z^2 - 3*a^8*z^2 + 
   9*a^10*z^2 - 4*a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 
   6*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 23352] -> 2*a^2 - a^4 - 9*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23353] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 23354] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   12*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23355] -> 
  2 + a^(-4) - 2/a^2 + z^2/a^6 - (2*z^2)/a^4 - 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 23356] -> 2*a^4 - a^6 + a^8 - a^10 + 
   a^4*z^2 + 5*a^6*z^2 - a^10*z^2 + 2*a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 + 
   2*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 23357] -> a^2 + a^8 - a^10 + 3*a^4*z^2 - 
   a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - 3*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 23358] -> 
  -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 5*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 23359] -> 
  a^2 + a^4 - a^6 - 3*z^2 + 4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 23360] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23361] -> 1 - 2/a^4 + 3/a^2 - a^2 + 16*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - 9*a^2*z^2 + 38*z^4 + (5*z^4)/a^4 - (19*z^4)/a^2 - 
   12*a^2*z^4 + 35*z^6 + (11*z^6)/a^4 - (33*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (24*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 23362] -> 2 - a^(-4) + a^(-2) - a^2 + 
   9*z^2 - z^2/a^4 - (3*z^2)/a^2 - 3*a^4*z^2 + 11*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 23363] -> 3 - a^(-2) - a^2 + 3*z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 - z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   13*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23364] -> -2/a^8 + 5/a^4 - 2/a^2 + z^2/a^8 - 
   (14*z^2)/a^6 + (33*z^2)/a^4 - (13*z^2)/a^2 + (13*z^4)/a^8 - (43*z^4)/a^6 + 
   (59*z^4)/a^4 - (16*z^4)/a^2 + (16*z^6)/a^8 - (52*z^6)/a^6 + (46*z^6)/a^4 - 
   (7*z^6)/a^2 + (7*z^8)/a^8 - (31*z^8)/a^6 + (16*z^8)/a^4 - z^8/a^2 + 
   z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 23365] -> -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (16*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (17*z^4)/a^6 + (12*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23366] -> -4/a^6 + 7/a^4 - 2/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (14*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (12*z^4)/a^6 + (7*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23367] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 4*a^2*z^2 + 
   2*a^4*z^2 - 16*a^6*z^2 + 9*a^8*z^2 - 5*a^2*z^4 + 19*a^4*z^4 - 38*a^6*z^4 + 
   12*a^8*z^4 - 11*a^2*z^6 + 33*a^4*z^6 - 35*a^6*z^6 + 6*a^8*z^6 - 
   6*a^2*z^8 + 24*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 23368] -> 
  1 + a^2 - a^4 - a^6 + a^8 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 
   5*a^8*z^2 - 2*z^4 + 2*a^2*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 
   5*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23369] -> -4/a^6 + 7/a^4 - 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23370] -> 1 + 2*z^2 - (2*z^2)/a^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 
   z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 23371] -> -3/a^6 + 5/a^4 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23372] -> 2 - a^2 - a^6 + a^8 + z^2 + 2*a^2*z^2 - 
   7*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 9*a^2*z^4 - 10*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23373] -> a^(-2) - a^6 + a^8 + z^2 - 3*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + 
   z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23374] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23375] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23376] -> -a^(-2) + 5*a^2 - 3*a^4 - (2*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 23377] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (16*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23378] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (5*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23379] -> 
  -2/a^14 + 8/a^12 - 10/a^10 + 5/a^8 - 4/a^6 + 4/a^4 - (3*z^2)/a^14 + 
   (16*z^2)/a^12 - (19*z^2)/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (17*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 23380] -> -2/a^14 + 9/a^12 - 14/a^10 + 7/a^8 + 
   a^(-4) - (3*z^2)/a^14 + (17*z^2)/a^12 - (26*z^2)/a^10 + (10*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (20*z^4)/a^10 + 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 23381] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-4) + (2*z^2)/a^12 - (10*z^2)/a^10 + (12*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (13*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23382] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23383] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 
   6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 23384] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (16*z^4)/a^6 - (14*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 23385] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (19*z^4)/a^2 + 
   5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (22*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 23386] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 23387] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 23388] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - a^4 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + z^4/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 23389] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (12*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - 
   (25*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23390] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   4*z^2 - (6*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23391] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23392] -> 11 - 4/a^2 - 7*a^2 + a^6 + 32*z^2 - 
   (10*z^2)/a^2 - 21*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 + 33*z^4 - (6*z^4)/a^2 - 
   25*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 + 14*z^6 - z^6/a^2 - 18*a^2*z^6 - 
   17*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 23393] -> 
  6 - a^(-4) - 5*a^2 + a^6 + 9*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 12*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - z^4/a^4 + (7*z^4)/a^2 - 14*a^2*z^4 - 
   5*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23394] -> 
  1 - 2/a^4 + 4/a^2 - 3*a^2 + a^6 + 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   11*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   13*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23395] -> 1 - 2/a^4 + 4/a^2 - 3*a^2 + a^6 - z^2/a^6 + 
   (6*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 23396] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (6*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - 
   (23*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23397] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23398] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 2*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23399] -> 
  3 - a^(-6) + 2/a^4 - a^(-2) - 3*a^2 + a^6 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 23400] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23401] -> 4 - 2/a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23402] -> -a^(-2) + 5*a^2 - 3*a^4 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23403] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 - (4*z^2)/a^10 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23404] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 10*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (22*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23405] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (12*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (13*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23406] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23407] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^10 + (4*z^2)/a^8 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 - 
   (12*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23408] -> 2 + a^(-4) - 2/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (21*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23409] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2 - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23410] -> 19 - 6/a^2 - 17*a^2 + 4*a^4 + a^6 + 42*z^2 - 
   (11*z^2)/a^2 - 36*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 + 36*z^4 - (6*z^4)/a^2 - 
   34*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 + 14*z^6 - z^6/a^2 - 20*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 23411] -> 
  5 - 2/a^4 + 3/a^2 - 8*a^2 + 2*a^4 + a^6 + 7*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 17*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 17*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23412] -> -4 - 3/a^4 + 8/a^2 - a^2 + a^6 - 6*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 - 10*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 5*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 - 16*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 4*z^6 + 
   (2*z^6)/a^2 - 10*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 23413] -> -2 - a^(-6) + a^(-4) + 3/a^2 - 
   a^2 + a^6 - 5*z^2 - z^2/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 23414] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 21*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 23415] -> 
  10 - a^(-4) - a^(-2) - 10*a^2 + 2*a^4 + a^6 + 16*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 18*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 14*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23416] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 23417] -> 
  19 - 6/a^2 - 17*a^2 + 4*a^4 + a^6 + 42*z^2 - (11*z^2)/a^2 - 36*a^2*z^2 - 
   5*a^4*z^2 + 9*a^6*z^2 + 36*z^4 - (6*z^4)/a^2 - 34*a^2*z^4 - 20*a^4*z^4 + 
   12*a^6*z^4 + 14*z^6 - z^6/a^2 - 20*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 23418] -> 5 - 2/a^4 + 3/a^2 - 8*a^2 + 2*a^4 + a^6 + 
   7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 17*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 
   2*z^4 - z^4/a^4 + (7*z^4)/a^2 - 17*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 23419] -> -9 - 4/a^4 + 12/a^2 + a^2 + a^6 - 
   12*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   8*z^4 - z^4/a^4 + (10*z^4)/a^2 - 15*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   4*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 23420] -> -2/a^6 + 5/a^4 - 2/a^2 - a^2 + 
   a^6 - 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 23421] -> -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23422] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23423] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23424] -> -3 + 9*a^2 - 6*a^4 + a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23425] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 + z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 23426] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (21*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23427] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (20*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 23428] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23429] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23430] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23431] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23432] -> 
  -a^(-8) + 2/a^6 - a^2 + a^6 - 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - a^4*z^4, Knot[15, Alternating, 23433] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 6*z^2 + (6*z^2)/a^6 - (15*z^2)/a^4 + 
   (18*z^2)/a^2 - 5*z^4 + (6*z^4)/a^8 - (5*z^4)/a^6 - (17*z^4)/a^4 + 
   (23*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (11*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 23434] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23435] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23436] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 23437] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 + z^2/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 23438] -> 
  2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 4*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23439] -> -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 
   7*z^2 + z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   2*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 23440] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 
   2/a^2 + 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 23441] -> 
  -3/a^14 + 7/a^12 - 7/a^10 + 3/a^8 + a^(-4) - (4*z^2)/a^14 + (20*z^2)/a^12 - 
   (18*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - z^4/a^14 + 
   (15*z^4)/a^12 - (20*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 23442] -> 
  -2/a^14 + 4/a^12 - 3/a^10 + a^(-6) + a^(-4) - z^2/a^14 + (8*z^2)/a^12 - 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (4*z^4)/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 23443] -> -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 23444] -> 
  -2 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + a^4 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 23445] -> 
  2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - a^(-2) + 2*z^2 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 - a^4*z^2 + 2*z^4 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 23446] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - 
   a^(-6) + 2/a^4 + z^2 + (3*z^2)/a^12 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[15, Alternating, 23447] -> -1 + a^(-2) + a^2 - a^6 + 2*a^8 - 
   a^10 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 
   4*z^4 + 3*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 23448] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23449] -> 
  -3 + a^(-8) - a^(-6) + 2/a^2 + a^2 + a^4 - 3*z^2 - (3*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - a^6*z^2 + z^4 + (3*z^4)/a^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 23450] -> -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 
   2/a^6 + a^(-4) + z^2 + (3*z^2)/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - (6*z^4)/a^8 - 
   (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 23451] -> 
  -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 11*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 23452] -> 
  1 - 2/a^12 + 5/a^10 - 5/a^8 + 3/a^6 - a^(-4) + 3*z^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (10*z^4)/a^8 - (2*z^4)/a^4 - (6*z^4)/a^2 - 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23453] -> 1 - a^(-12) + 2/a^10 - a^(-8) + z^2 + 
   (3*z^2)/a^10 - z^2/a^8 - z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23454] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + 2*a^10 - a^12 + 7*a^2*z^2 - 16*a^4*z^2 + 
   18*a^6*z^2 - 14*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 
   20*a^4*z^4 + 23*a^6*z^4 - 23*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 23455] -> 
  1 - a^4 + 2*a^6 - 2*a^8 + 2*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 23456] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23457] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 3*z^4 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 23458] -> a^(-2) - a^2 + a^4 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + z^4 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23459] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23460] -> -3 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + a^4 - 
   2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 23461] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23462] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 6*a^8 + 3*a^10 - a^12 + 8*a^2*z^2 - 22*a^4*z^2 + 
   28*a^6*z^2 - 22*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 
   23*a^4*z^4 + 30*a^6*z^4 - 27*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 17*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 23463] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - a^8 + 2*a^10 - a^12 + 3*z^2 - 8*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   7*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 23464] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 
   6*z^2 + z^2/a^6 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23465] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 23466] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 23467] -> -1 + a^(-2) + a^2 - a^8 + 
   2*a^10 - a^12 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + a^2*z^4 - a^4*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6, Knot[15, Alternating, 23468] -> 
  2 - a^(-12) + 2/a^10 - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (3*z^2)/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23469] -> -1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + a^2 - 2*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23470] -> 
  -1 + a^(-2) + a^2 + a^4 - 3*a^6 + 3*a^8 - a^10 - 4*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 23471] -> 
  -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 23472] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 - z^2/a^6 + (4*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23473] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 3*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 
   16*a^8*z^2 - 7*a^10*z^2 + 7*a^2*z^4 - 13*a^4*z^4 - 3*a^6*z^4 + 
   20*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 7*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23474] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + z^2 + a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 23475] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 13*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23476] -> 2*a^2 - 4*a^4 + 5*a^6 - a^8 - 
   a^10 + 2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   3*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23477] -> 2 - 2*a^2 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23478] -> 2*a^2 - a^4 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23479] -> 
  a^(-4) - a^(-2) + a^2 - a^4 + 2*a^6 - a^8 + 3*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23480] -> 
  1 - a^2 + 2*a^6 - a^10 + z^2/a^2 - 2*a^2*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 
   a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 23481] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 - (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23482] -> a^(-2) - a^2 + 2*a^6 - a^8 - 3*z^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23483] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 
   8/a^2 - 5*z^2 + z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (21*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + 
   z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23484] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23485] -> 3 - a^(-4) - a^4 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4/a^6 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 23486] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   3*a^2*z^2 - 8*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4 + 
   7*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23487] -> 2 - a^(-2) + a^4 - a^6 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + 
   8*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23488] -> 1 - a^2 - a^4 + 6*a^6 - 5*a^8 + 
   a^10 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23489] -> 1 - a^2 - a^4 + 6*a^6 - 5*a^8 + 
   a^10 + z^2 + a^2*z^2 - 9*a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 
   z^4 + 4*a^2*z^4 - 15*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   5*a^2*z^6 - 10*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 23490] -> 
  -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 4*z^2 + z^2/a^6 - z^2/a^4 + 
   (9*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + (13*z^4)/a^2 - 
   z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23491] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 23492] -> 3*a^4 - 2*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 14*a^4*z^2 - 7*a^6*z^2 - 13*z^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 
   20*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 11*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23493] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 2*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23494] -> -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 - 
   7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   14*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23495] -> a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 23496] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 9*z^2 + z^2/a^4 + 11*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 23497] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + z^2/a^4 + 2*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 23498] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - z^4 + 4*a^2*z^4 - 16*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 10*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23499] -> -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   13*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23500] -> -1 - a^(-6) + 3/a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 + 
   z^4/a^8 - (7*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23501] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4 + 4*a^2*z^4 - 
   10*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23502] -> 4*a^4 - 4*a^6 + a^8 + 5*a^4*z^2 - 
   2*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 4*a^4*z^4 + 
   9*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23503] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 
   5*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23504] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 + (6*z^4)/a^8 - 
   (10*z^4)/a^6 + (18*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (12*z^6)/a^6 - 
   (6*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 23505] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23506] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23507] -> 1 - 2/a^4 + 3/a^2 - a^2 + 8*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 17*z^4 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - 
   (12*z^6)/a^4 - (5*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 23508] -> 
  2 - a^(-4) + a^(-2) - a^2 + 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 23509] -> 
  3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 23510] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 - (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 23511] -> 
  3 - a^(-2) - a^2 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 23512] -> -1 - a^(-6) + 3/a^2 + z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - 
   z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 23513] -> 1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 23514] -> -3 + 7*a^2 - 2*a^4 - a^6 - 4*z^2 + 
   3*a^2*z^2 + 15*a^4*z^2 - 9*a^6*z^2 + 2*z^4 - 21*a^2*z^4 + 53*a^4*z^4 - 
   21*a^6*z^4 + 4*z^6 - 28*a^2*z^6 + 61*a^4*z^6 - 18*a^6*z^6 + z^8 - 
   13*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 23515] -> 1 - a^(-2) + 2*a^2 - a^6 - 
   z^2/a^2 + a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   20*a^4*z^4 - 9*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23516] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23517] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + z^2 - 3*a^2*z^2 + 8*a^4*z^2 - 
   4*a^6*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23518] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (7*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (20*z^4)/a^8 - 
   (25*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (25*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23519] -> -3 - 2/a^4 + 5/a^2 + a^2 + 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 28*z^4 + (4*z^4)/a^4 - (18*z^4)/a^2 - 
   11*a^2*z^4 + 41*z^6 + (4*z^6)/a^4 - (25*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 23520] -> -1 - a^(-6) + 2/a^4 + a^2 + 6*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 15*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 23521] -> 2 - a^(-4) + a^(-2) - a^2 + 
   24*z^2 + z^2/a^4 - (12*z^2)/a^2 - 11*a^2*z^2 + 62*z^4 + (5*z^4)/a^4 - 
   (34*z^4)/a^2 - 23*a^2*z^4 + 65*z^6 + (4*z^6)/a^4 - (32*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 23522] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (8*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 23523] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 17*z^2 + 
   z^2/a^4 - (9*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 23524] -> -1 - a^(-6) + 2/a^4 + a^2 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23525] -> 7 - 3/a^2 - 3*a^2 + 26*z^2 + z^2/a^4 - 
   (13*z^2)/a^2 - 11*a^2*z^2 + 50*z^4 + (3*z^4)/a^4 - (25*z^4)/a^2 - 
   18*a^2*z^4 + 51*z^6 + (3*z^6)/a^4 - (24*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 23526] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23527] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (29*z^4)/a^4 - (12*z^4)/a^2 + (4*z^6)/a^8 - (24*z^6)/a^6 + (42*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 23528] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (12*z^4)/a^4 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (9*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 23529] -> -5 - a^(-6) + 2/a^4 + 2/a^2 + 
   3*a^2 - 12*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   13*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23530] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23531] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 23532] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23533] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (2*z^2)/a^8 - (19*z^2)/a^6 + (33*z^2)/a^4 - (13*z^2)/a^2 + (4*z^4)/a^8 - 
   (35*z^4)/a^6 + (68*z^4)/a^4 - (25*z^4)/a^2 + (4*z^6)/a^8 - (31*z^6)/a^6 + 
   (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 23534] -> -a^(-6) + a^(-4) + a^(-2) - 4*z^2 + 
   z^2/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (14*z^4)/a^6 + (20*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (14*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23535] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 6*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (5*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 23536] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 + 
   (4*z^4)/a^8 - (23*z^4)/a^6 + (39*z^4)/a^4 - (15*z^4)/a^2 + (4*z^6)/a^8 - 
   (26*z^6)/a^6 + (47*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + 
   (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 23537] -> 2 - a^(-8) + 2/a^6 - 2/a^2 - 
   2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 + (6*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 23538] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   z^4/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 
   8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23539] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + z^4/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 23540] -> 
  -4 + 10*a^2 - 5*a^4 - 3*z^2 - z^2/a^2 + 14*a^2*z^2 - 5*a^4*z^2 + 16*z^4 - 
   (4*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 + 24*z^6 - (4*z^6)/a^2 - 35*a^2*z^6 + 
   12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 
   8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 23541] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 4*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 
   4*z^4 - z^4/a^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 23542] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 
   11*z^4 + (2*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + 26*z^6 + (3*z^6)/a^4 - 
   (17*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 23543] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + 9*z^6 - 
   (3*z^6)/a^6 + (17*z^6)/a^4 - (25*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (10*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 23544] -> -4 + 10*a^2 - 5*a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + 22*z^4 - (5*z^4)/a^2 - 23*a^2*z^4 + 
   10*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 40*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 23545] -> -4 + 10*a^2 - 5*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 25*z^4 - (7*z^4)/a^2 - 20*a^2*z^4 + 
   8*a^4*z^4 + 29*z^6 - (5*z^6)/a^2 - 37*a^2*z^6 + 12*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 23546] -> -a^(-2) + 5*a^2 - 3*a^4 + 
   4*z^2 - z^2/a^4 + a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   10*a^2*z^4 + 5*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23547] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 - 
   (12*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (22*z^6)/a^4 - (27*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 23548] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 2*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 10*z^4 - 
   (4*z^4)/a^6 + (18*z^4)/a^4 - (22*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + 
   (25*z^6)/a^4 - (40*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 23549] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 23550] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23551] -> 
  1 - a^(-2) + 2*a^2 - a^6 + z^2 - z^2/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23552] -> 
  -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 5*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23553] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 8*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^6 + 
   (12*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23554] -> -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23555] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 3*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 + 10*z^4 - (7*z^4)/a^6 + 
   (25*z^4)/a^4 - (24*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (30*z^6)/a^4 - 
   (41*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 23556] -> 
  4 - a^(-4) - 2*a^2 + 3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 
   7*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23557] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23558] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 14*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + z^4/a^4 + (16*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23559] -> 4 - 2/a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23560] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - (6*z^4)/a^10 + (17*z^4)/a^8 - 
   (11*z^4)/a^6 + (6*z^4)/a^4 - (5*z^6)/a^10 + (27*z^6)/a^8 - (32*z^6)/a^6 + 
   (11*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (24*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 23561] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^4)/a^10 + (9*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23562] -> -2/a^6 + 3/a^4 - z^2/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23563] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23564] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23565] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23566] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   6*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 23567] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23568] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23569] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 23570] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23571] -> 4 - 2/a^2 - a^4 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23572] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^10 - 
   (10*z^2)/a^8 + (18*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   z^4/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 + z^6/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23573] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23574] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23575] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (2*z^2)/a^10 - (15*z^2)/a^8 + 
   (25*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - (5*z^4)/a^8 + 
   (23*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23576] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   5*z^2 - (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23577] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 23578] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 - (8*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 23579] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 23580] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 
   3*z^2 - 5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 23581] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23582] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   2*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 23583] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 23584] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   4*z^2 + z^2/a^2 + 8*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   8*z^4 + z^4/a^2 + 17*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23585] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 - z^4 + 6*a^2*z^4 - 20*a^4*z^4 + 20*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23586] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 13*a^4*z^2 + 18*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   9*a^2*z^4 - 17*a^4*z^4 + 22*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 23587] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23588] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23589] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 17*a^4*z^2 + 
   20*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 
   23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23590] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   5*a^4*z^2 + 11*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 
   9*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   7*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 23591] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - a^4 - 10*z^2 + z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   20*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23592] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23593] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23594] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23595] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 23596] -> 1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   5*a^2*z^4 - 14*a^4*z^4 + 17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 23597] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 4*a^2*z^2 - 12*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 20*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23598] -> 
  2 - 2/a^8 + 4/a^6 - a^(-4) - 2/a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23599] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23600] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23601] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 11*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23602] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   21*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23603] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   z^2/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (10*z^4)/a^8 - (6*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 23604] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23605] -> 
  -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23606] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 
   6/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + (13*z^2)/a^6 - (24*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (31*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 23607] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + 
   a^10 - 3*z^2 + 15*a^2*z^2 - 26*a^4*z^2 + 21*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - 6*z^4 + 23*a^2*z^4 - 33*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23608] -> 
  1 + a^6 - 2*a^8 + a^10 + z^2 - a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - z^4 + 5*a^2*z^4 - 13*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23609] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 6*a^2*z^2 - 13*a^4*z^2 + 
   12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 21*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23610] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - a^2*z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 8*a^4*z^4 + 
   6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 23611] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 - 5*a^2*z^4 + 18*a^4*z^4 - 33*a^6*z^4 + 
   11*a^8*z^4 - 11*a^2*z^6 + 33*a^4*z^6 - 34*a^6*z^6 + 6*a^8*z^6 - 
   6*a^2*z^8 + 24*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 23612] -> 
  1 + z^2 + a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 
   a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 23613] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + 
   a^8 + z^2 - a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 
   8*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 23614] -> -1 + a^(-2) + a^2 + a^4 - 
   2*a^6 + a^8 - a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 23615] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 4*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 + 
   3*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 + 2*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 23616] -> 2*a^2 - a^4 - a^6 + 2*a^8 - 
   a^10 + a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + z^4 - 
   3*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 + a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23617] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   13*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   20*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23618] -> a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - 7*a^4*z^4 + 16*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 
   8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 23619] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 
   6*z^2 + (4*z^2)/a^2 + a^2*z^2 - 12*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23620] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 7*z^2 - z^2/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23621] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + z^2 + a^2*z^2 - 10*a^4*z^2 + 
   11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 23622] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - z^4 + 5*a^2*z^4 - 14*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23623] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 9*z^2 - z^2/a^4 + z^2/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   22*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23624] -> a^(-2) + a^2 - 4*a^4 + 5*a^6 - 3*a^8 + 
   a^10 - z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 23625] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23626] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23627] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23628] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23629] -> 3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 + a^4*z^2 - 
   13*a^6*z^2 + 8*a^8*z^2 - 7*a^2*z^4 + 23*a^4*z^4 - 39*a^6*z^4 + 
   12*a^8*z^4 - 12*a^2*z^6 + 37*a^4*z^6 - 36*a^6*z^6 + 6*a^8*z^6 - 
   6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 23630] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 + 3*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - 4*z^4 + 7*a^2*z^4 - 5*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 9*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23631] -> 1 + a^4 - 2*a^6 + a^8 + z^2 + a^2*z^2 - 
   8*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 6*a^2*z^4 - a^4*z^4 - 14*a^6*z^4 + 
   4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23632] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 23633] -> 2 - a^2 - a^4 + a^6 + z^2 + a^2*z^2 - 
   5*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 5*a^2*z^4 - 4*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23634] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - 
   a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 4*a^2*z^4 - 
   11*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23635] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 + 
   9*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23636] -> 1 - a^2 + 2*a^4 - a^6 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23637] -> 
  2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23638] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   4*a^4*z^2 - a^6*z^2 + a^8*z^2 + z^4 - 2*a^2*z^4 + 3*a^6*z^4 - a^10*z^4 + 
   z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 23639] -> 1 - a^2 + 2*a^4 - a^6 + 
   2*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23640] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23641] -> 
  3*a^4 - 2*a^6 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23642] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 23643] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 
   3*z^2 - 7*a^2*z^2 + 33*a^4*z^2 - 16*a^6*z^2 + 3*z^4 - 28*a^2*z^4 + 
   69*a^4*z^4 - 25*a^6*z^4 + 4*z^6 - 30*a^2*z^6 + 67*a^4*z^6 - 19*a^6*z^6 + 
   z^8 - 13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 23644] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 10*z^2 + 19*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 + 16*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23645] -> 
  2 - a^(-2) - 3*a^2 + 7*a^4 - 4*a^6 - z^2/a^2 - 4*a^2*z^2 + 21*a^4*z^2 - 
   10*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23646] -> 
  -a^(-2) + 4*a^2 - a^4 - a^6 - z^2 - (2*z^2)/a^2 + 9*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23647] -> 
  4 - a^(-4) - 2*a^2 + 20*z^2 - (8*z^2)/a^2 - 9*a^2*z^2 + 45*z^4 + 
   (4*z^4)/a^4 - (24*z^4)/a^2 - 16*a^2*z^4 + 48*z^6 + (4*z^6)/a^4 - 
   (26*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 23648] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - z^2 + z^2/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 
   3*a^2*z^2 + 10*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 23649] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 51*z^2 + 
   (3*z^2)/a^4 - (28*z^2)/a^2 - 21*a^2*z^2 + 84*z^4 + (5*z^4)/a^4 - 
   (42*z^4)/a^2 - 29*a^2*z^4 + 73*z^6 + (4*z^6)/a^4 - (33*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 23650] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - z^2/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + 10*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 23651] -> -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 - 8*a^2*z^2 + 19*z^4 + 
   (2*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 23652] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 7*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 
   12*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23653] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 23654] -> -1 - a^(-2) + 7*a^2 - 4*a^4 + 
   5*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 23*z^4 - (5*z^4)/a^2 - 
   23*a^2*z^4 + 10*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 40*a^2*z^6 + 13*a^4*z^6 + 
   12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 23655] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 
   5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23656] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 13*z^2 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 32*z^4 - (8*z^4)/a^2 - 31*a^2*z^4 + 
   11*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 23657] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 9*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 23658] -> 
  -2 - 3/a^4 + 6/a^2 - z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 
   8*z^4 - (7*z^4)/a^6 + (24*z^4)/a^4 - (22*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + 
   (29*z^6)/a^4 - (37*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 23659] -> -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 23660] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 23661] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 23662] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 - z^2/a^2 + 
   2*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   14*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 23663] -> 4 - 2/a^2 - a^2 + a^4 - a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23664] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 12*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (24*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + (17*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23665] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 23666] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 23667] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^4 + 2*a^4*z^4 - 
   6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 23668] -> -5 - a^(-4) + 4/a^2 + 6*a^2 - 
   5*a^4 + 2*a^6 - 16*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 20*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23669] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   3*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 23670] -> 
  -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23671] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23672] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 2*z^2 + z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23673] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23674] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23675] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23676] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 15*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23677] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 9*z^2 - z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (17*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23678] -> 
  -8 - a^(-4) + 5/a^2 + 8*a^2 - 4*a^4 + a^6 - 26*z^2 - (4*z^2)/a^4 + 
   (16*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 32*z^4 - (6*z^4)/a^4 + 
   (24*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23679] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   10*z^2 + z^2/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 
   7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23680] -> -1 + a^(-4) + a^2 - a^4 + a^6 - z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23681] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 23682] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 + 9*z^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 23683] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 23684] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23685] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23686] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 - z^2 - 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23687] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 23688] -> 
  -13 - 2/a^4 + 9/a^2 + 11*a^2 - 6*a^4 + 2*a^6 - 33*z^2 - (5*z^2)/a^4 + 
   (20*z^2)/a^2 + 27*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 33*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23689] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23690] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23691] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 23692] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 23693] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 23694] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 23695] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 
   5*a^6*z^2 - 2*a^10*z^2 + a^12*z^2 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   6*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 7*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[15, Alternating, 23696] -> 2*a^4 - a^6 + a^8 - a^10 + 
   4*a^4*z^2 + a^6*z^2 - a^10*z^2 + a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 23697] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 5*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 23698] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - z^2/a^2 - 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23699] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 18*a^6*z^2 - 
   6*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 15*a^6*z^4 + 4*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 23700] -> 1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 23701] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 
   6*z^2 + z^2/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + 
   (5*z^4)/a^4 - (10*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23702] -> 
  3 - a^(-4) - a^4 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 23703] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23704] -> 4 - 2/a^2 - a^4 + 7*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 23705] -> a^(-2) - a^2 + a^4 + 7*z^2 - 17*a^2*z^2 + 
   8*a^4*z^2 + 28*z^4 - (8*z^4)/a^2 - 40*a^2*z^4 + 12*a^4*z^4 + 38*z^6 - 
   (12*z^6)/a^2 - 36*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 23706] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - (4*z^4)/a^2 - 
   13*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 23707] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - 
   11*a^2*z^2 + 5*a^4*z^2 + z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 14*a^2*z^4 + 
   4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 23708] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23709] -> -1 - 3*a^2 + 12*a^4 - 7*a^6 - 3*z^2 - 
   12*a^2*z^2 + 44*a^4*z^2 - 20*a^6*z^2 + 2*z^4 - 28*a^2*z^4 + 76*a^4*z^4 - 
   27*a^6*z^4 + 4*z^6 - 29*a^2*z^6 + 69*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 23710] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 
   5*z^2 - z^2/a^2 + 7*a^2*z^2 + 17*a^4*z^2 - 10*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   8*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23711] -> 
  -5 + 11*a^2 - 4*a^4 - a^6 - 13*z^2 + 27*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 - 
   14*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 + 9*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 15*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 23712] -> 
  2 - 2/a^2 + 3*a^2 - a^4 - a^6 + 7*z^2 - (5*z^2)/a^2 + 4*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + 8*z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 23713] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23714] -> 
  2 - a^(-2) + a^6 - a^8 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23715] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 6*z^2 - 
   (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 23*z^4 - (7*z^4)/a^2 - 13*a^2*z^4 + 
   5*a^4*z^4 + 28*z^6 - (5*z^6)/a^2 - 32*a^2*z^6 + 11*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 24*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 23716] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 + 5*z^2 - z^2/a^4 + a^2*z^2 - a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - z^6/a^4 + (6*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23717] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 23718] -> -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 
   z^2 - z^2/a^6 + (3*z^2)/a^4 + a^2*z^2 + z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 23719] -> -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^14 + z^2/a^12 + (11*z^2)/a^10 - (18*z^2)/a^8 + (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^12 + (4*z^4)/a^10 - (18*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (9*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 23720] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 - (11*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + z^4/a^10 - 
   (13*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 23721] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 10*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23722] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23723] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (16*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 23724] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 23725] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (17*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23726] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23727] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 9*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23728] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   19*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23729] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   9*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23730] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23731] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   2*z^2 + 6*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   13*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23732] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   4*z^2 + (2*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23733] -> -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 
   2*a^2 - 9*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 23734] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23735] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 - z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 23736] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23737] -> -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 
   14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 
   17*z^4 + (2*z^4)/a^4 + (5*z^4)/a^2 + 14*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 23738] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 23739] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   9*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23740] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 18*z^4 + 
   (5*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23741] -> a^2 - a^4 + 5*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   3*a^2*z^2 - 7*a^4*z^2 + 17*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   4*a^2*z^4 - 16*a^4*z^4 + 23*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 23742] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 23743] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 7*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 23744] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 23745] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + a^4*z^2 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 23746] -> 
  1 + 3*a^2 - 7*a^4 + 6*a^6 - 3*a^8 + a^10 + 5*a^2*z^2 - 16*a^4*z^2 + 
   14*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 16*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23747] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   15*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (25*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23748] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (8*z^2)/a^2 - 
   z^4 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (6*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23749] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 23750] -> 
  1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + 3*z^2 - 10*a^2*z^2 + 10*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 13*a^2*z^4 + 5*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 23751] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23752] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + z^2/a^12 + (9*z^2)/a^10 - (15*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^12 + (4*z^4)/a^10 - (17*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (9*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 23753] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   2*z^2 + z^2/a^2 - 3*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   3*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 23754] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   5*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23755] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + z^2/a^8 - z^2/a^6 + (8*z^2)/a^2 - 
   3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23756] -> -2 + a^(-2) + a^2 + 2*a^4 - a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23757] -> 2 + 2/a^4 - 3/a^2 - a^6 + a^8 + 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 23758] -> 
  -3 + 2/a^2 + 3*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 10*z^2 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23759] -> 1 - a^(-12) + 4/a^10 - 6/a^8 + 
   3/a^6 + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23760] -> 
  a^(-2) - a^2 - a^4 + 4*a^6 - 2*a^8 - 7*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 
   18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23761] -> -3 + 2/a^2 + 2*a^2 - a^4 + 2*a^6 - a^8 - 
   6*z^2 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23762] -> 
  -3/a^10 + 7/a^8 - 4/a^6 - 2/a^4 + 3/a^2 - (7*z^2)/a^10 + (23*z^2)/a^8 - 
   (14*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (25*z^4)/a^8 - 
   (13*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 23763] -> 
  1 - 2/a^10 + 4/a^8 - a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - (3*z^2)/a^10 + 
   (9*z^2)/a^8 - (8*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23764] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23765] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + a^2 - z^2 - z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23766] -> 
  1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23767] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23768] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23769] -> 
  2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (19*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23770] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23771] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23772] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 
   17*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23773] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23774] -> -7 - a^(-8) + 4/a^6 - 9/a^4 + 12/a^2 + 
   2*a^2 - 17*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (24*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23775] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 23776] -> a^(-4) - 2/a^2 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 + (2*z^2)/a^4 - (5*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 23777] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 4*z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   7*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 23778] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 23779] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23780] -> 
  -9 + a^(-6) - 2/a^4 + 5/a^2 + 8*a^2 - 2*a^4 - 25*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 27*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 23781] -> 
  -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23782] -> -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   7*z^2 + z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 23783] -> -3 + a^(-2) + 7*a^2 - 8*a^4 + 6*a^6 - 
   2*a^8 - 14*z^2 + (4*z^2)/a^2 + 23*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 24*z^4 + (6*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 23784] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + 2*a^8 - a^10 - 8*z^2 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 23785] -> 
  -3 + a^(-2) + 7*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   21*a^2*z^2 - 24*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 26*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23786] -> 2*a^2 - 2*a^4 + a^6 + a^8 - 
   a^10 + 5*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 
   6*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   12*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 23787] -> 1 - a^2 + 3*a^4 - 5*a^6 + 5*a^8 - 2*a^10 + 
   2*z^2 - 4*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23788] -> -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   9*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23789] -> 
  -3/a^10 + 7/a^8 - 5/a^6 + 2/a^2 - (6*z^2)/a^10 + (23*z^2)/a^8 - 
   (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (24*z^4)/a^8 - 
   (15*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 23790] -> 
  1 - 2/a^10 + 4/a^8 - 2/a^6 + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (7*z^2)/a^4 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23791] -> -2/a^10 + 4/a^8 - a^(-6) - 3/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23792] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23793] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (11*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23794] -> 
  -3 + a^(-2) + 8*a^2 - 9*a^4 + 5*a^6 - a^8 - 12*z^2 + (2*z^2)/a^2 + 
   24*a^2*z^2 - 24*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   28*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23795] -> -8 - a^(-4) + 5/a^2 + 8*a^2 - 
   4*a^4 + a^6 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 19*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23796] -> 4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 2*a^10 - 
   z^2 + 9*a^2*z^2 - 20*a^4*z^2 + 21*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 10*a^2*z^4 - 24*a^4*z^4 + 23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 23797] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 + z^4/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23798] -> 1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 4*a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23799] -> 
  -7 + 2/a^6 - 5/a^4 + 7/a^2 + 5*a^2 - a^4 - 20*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (19*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 23800] -> 
  -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - z^2 - z^2/a^6 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23801] -> -2 + a^(-4) + 4*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 23802] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23803] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 - (16*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - (5*z^4)/a^8 + 
   (17*z^4)/a^6 - (14*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23804] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23805] -> -11 - a^(-4) + 6/a^2 + 12*a^2 - 7*a^4 + 
   2*a^6 - 27*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 25*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 26*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23806] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 
   16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 16*z^4 + 
   z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23807] -> 
  5 - 2/a^2 - 4*a^2 + 4*a^4 - 2*a^6 + 8*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 + 5*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 23808] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23809] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23810] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 23811] -> -8 + a^(-6) - 3/a^4 + 6/a^2 + 
   7*a^2 - 2*a^4 - 22*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23812] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 + 
   z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 - 
   (16*z^4)/a^4 - z^6/a^10 + z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23813] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23814] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 23815] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 2*z^4 - z^4/a^2 + 
   9*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 23816] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 
   3*a^4 + a^6 - 3*z^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + 
   z^4/a^2 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 23817] -> 
  a^2 + a^4 - 4*a^6 + 6*a^8 - 3*a^10 + 4*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 
   16*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 5*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 23818] -> -3/a^10 + 7/a^8 - 6/a^6 + 
   2/a^4 + a^(-2) - (5*z^2)/a^10 + (21*z^2)/a^8 - (17*z^2)/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 - (7*z^4)/a^10 + (22*z^4)/a^8 - (16*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 - z^6/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 23819] -> -2/a^10 + 4/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + z^4/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23820] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23821] -> 2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 5*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 - 
   a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23822] -> 
  1 - a^2 + 2*a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 23823] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23824] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23825] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 - z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23826] -> 2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + z^2 + 
   a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23827] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23828] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + z^2 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23829] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - z^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 23830] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + z^4/a^2 - 4*a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23831] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 + 16*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23832] -> -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 4*z^2 + 
   z^2/a^6 - z^2/a^4 + (9*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   z^4/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 23833] -> 
  -a^(-8) + 2/a^4 + z^2/a^8 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23834] -> 
  -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 2*a^8 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23835] -> 2/a^12 - 8/a^10 + 6/a^8 + 2/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (19*z^2)/a^10 + (20*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (23*z^4)/a^10 + (33*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (28*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 23836] -> a^(-12) - 3/a^10 - 2/a^8 + 
   7/a^6 - 2/a^4 + z^2/a^12 - (7*z^2)/a^10 + (2*z^2)/a^8 + (15*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (6*z^4)/a^8 + 
   (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23837] -> -a^(-14) + 2/a^12 - a^(-10) + a^(-8) - 
   4/a^6 + 4/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (8*z^4)/a^10 - 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 23838] -> -13 + a^(-6) - 4/a^4 + 9/a^2 + 
   12*a^2 - 4*a^4 - 34*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (27*z^2)/a^2 + 
   22*a^2*z^2 - 4*a^4*z^2 - 34*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (31*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 23839] -> 2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 + 7*a^2*z^2 - 
   19*a^4*z^2 + 21*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + 9*a^2*z^4 - 24*a^4*z^4 + 
   12*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 
   2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23840] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (20*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23841] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 8/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (17*z^4)/a^8 + (20*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23842] -> 
  a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 6/a^2 + z^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (20*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23843] -> -9 - a^(-4) + 5/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   26*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23844] -> 
  -9 - a^(-4) + 6/a^2 + 7*a^2 - 3*a^4 + a^6 - 25*z^2 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23845] -> 
  -13 - 2/a^4 + 9/a^2 + 10*a^2 - 4*a^4 + a^6 - 33*z^2 - (5*z^2)/a^4 + 
   (21*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 34*z^4 - 
   (4*z^4)/a^4 + (21*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 23846] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + 2*a^2 - 2*a^4 + a^6 - z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 23847] -> 2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 
   6*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 
   19*a^4*z^4 + 7*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - 
   a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 23848] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (9*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (12*z^4)/a^10 - (15*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 23849] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23850] -> -3 + a^(-2) + 3*a^2 + 2*a^6 - 2*a^8 - 
   9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23851] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^4 - a^6 - 9*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23852] -> -9 - a^(-4) + 5/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   26*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23853] -> 
  -7 + 2/a^2 + 10*a^2 - 6*a^4 + 4*a^6 - 2*a^8 - 17*z^2 + (5*z^2)/a^2 + 
   22*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   22*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23854] -> 4 + a^(-4) - 3/a^2 - 3*a^2 + 
   3*a^4 - a^8 + 7*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 23855] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23856] -> -2/a^14 + 6/a^12 - 7/a^10 + 2/a^8 + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (16*z^2)/a^12 - (17*z^2)/a^10 + z^2/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (20*z^4)/a^10 - 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 23857] -> -a^(-14) + 2/a^12 - 4/a^8 + 
   3/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - z^2/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (11*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 23858] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (16*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23859] -> -6 + 2/a^2 + 7*a^2 - 2*a^4 + a^6 - a^8 - 
   16*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23860] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^6 - a^8 + 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23861] -> 
  1 + 2/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^6 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 23862] -> -5 - 2/a^4 + 6/a^2 + a^2 + 2*a^4 - a^6 - 
   9*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 23863] -> 
  -a^(-10) - a^(-8) + 6/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + 
   (15*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (16*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23864] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23865] -> 
  -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23866] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   10*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23867] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 12*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23868] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 23869] -> 
  -5 + 2/a^2 + 9*a^2 - 9*a^4 + 5*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   23*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 23870] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 7*z^2 + z^2/a^4 - (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 7*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 23871] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23872] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 + (15*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23873] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 23874] -> -2 - 2/a^8 + 6/a^6 - 7/a^4 + 
   5/a^2 + a^2 - 9*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (24*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (30*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (17*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 23875] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 
   2/a^2 + a^2 - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23876] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23877] -> 4 - a^(-6) + 2/a^4 - 3/a^2 - a^4 + 8*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 23878] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 2*z^2 - (5*z^2)/a^8 + (11*z^2)/a^6 - 
   (10*z^2)/a^4 - a^2*z^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23879] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   25*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23880] -> 
  -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 11*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 23881] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (6*z^2)/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (10*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 23882] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 + 
   2*z^2 - z^2/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (9*z^4)/a^6 - (16*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23883] -> -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23884] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 23885] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   2/a^6 - 2/a^4 + a^(-2) + 2*z^2 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + z^4 - (8*z^4)/a^8 + (8*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23886] -> -5 + 2/a^2 + 5*a^2 - a^4 + a^6 - a^8 - 
   14*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23887] -> 
  -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 9*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (18*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23888] -> 
  -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (12*z^2)/a^6 - (16*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - 
   (17*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23889] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^6 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23890] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 2*z^2 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 23891] -> 
  4*a^6 - 3*a^8 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 
   4*z^4 - 6*a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 
   8*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 23892] -> a^4 + 2*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + 
   3*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23893] -> 
  2*a^2 - 2*a^4 - a^6 + 5*a^8 - 3*a^10 + 5*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 
   15*a^8*z^2 - 5*a^10*z^2 + 4*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 16*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 23894] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23895] -> 
  -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 19*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 23896] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 13*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 
   13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 23897] -> 
  a^2 + a^4 - 5*a^6 + 8*a^8 - 4*a^10 + 4*a^2*z^2 - 2*a^4*z^2 - 9*a^6*z^2 + 
   19*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 11*a^4*z^4 - 9*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 23898] -> -3 + a^(-2) + 4*a^2 - 2*a^4 + 
   3*a^6 - 2*a^8 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23899] -> 2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 
   z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23900] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 23901] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + 
   a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 23902] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 
   17*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 23903] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 23904] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 23905] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   11*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23906] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 23907] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 23908] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 23909] -> 
  -a^(-8) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (8*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 23910] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - 
   z^2 + z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 23911] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 + z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23912] -> 1 - 2*a^4 + 3*a^6 - a^10 + 2*z^2 - a^2*z^2 - 
   6*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 23913] -> -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 
   2*a^2 - 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23914] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23915] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 
   10*z^4 + z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23916] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2 + z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23917] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 23918] -> 3/a^16 - 7/a^14 + a^(-12) + 
   3/a^10 + a^(-8) + (4*z^2)/a^16 - (22*z^2)/a^14 + (12*z^2)/a^12 + 
   (13*z^2)/a^10 + (5*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + (25*z^4)/a^12 + 
   (21*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (18*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 23919] -> 2/a^16 - 4/a^14 - a^(-12) + 
   2/a^10 + 2/a^8 + z^2/a^16 - (9*z^2)/a^14 + (11*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + (7*z^4)/a^12 + (16*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 23920] -> 
  7 - 4/a^2 + a^2 - 4*a^4 + a^6 + 19*z^2 - (10*z^2)/a^2 + 6*a^2*z^2 - 
   14*a^4*z^2 + 4*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 + 10*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 23921] -> 5 - a^(-4) - a^(-2) - 3*a^4 + a^6 + 11*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23922] -> 10 - 5/a^2 - a^2 - 5*a^4 + 2*a^6 + 21*z^2 - 
   (10*z^2)/a^2 + 4*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 + 24*z^4 - 
   (10*z^4)/a^2 + 10*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 16*z^6 - 
   (5*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 23923] -> 
  3 - 2/a^4 + 2/a^2 - a^2 - 2*a^4 + a^6 + 9*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23924] -> 2 - a^(-6) + a^(-4) - 2*a^4 + a^6 + 3*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 23925] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (14*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + 
   (7*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 23926] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (7*z^4)/a^8 + z^4/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23927] -> a^(-12) - 8/a^8 + 10/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (6*z^2)/a^10 - (12*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (11*z^4)/a^10 - (4*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 23928] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 23929] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   z^4/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 23930] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 23931] -> 
  -2 + 4/a^8 - 18/a^6 + 21/a^4 - 4/a^2 - 9*z^2 + (8*z^2)/a^8 - (45*z^2)/a^6 + 
   (59*z^2)/a^4 - (4*z^2)/a^2 - 12*z^4 + (5*z^4)/a^8 - (44*z^4)/a^6 + 
   (70*z^4)/a^4 + (7*z^4)/a^2 - 6*z^6 + z^6/a^8 - (19*z^6)/a^6 + 
   (45*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (15*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 23932] -> 
  -5 + 2/a^8 - 8/a^6 + 4/a^4 + 8/a^2 - 9*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (10*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (12*z^4)/a^4 + (25*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 23933] -> -6*a^6 + 25*a^8 - 26*a^10 + 8*a^12 - 
   23*a^6*z^2 + 90*a^8*z^2 - 77*a^10*z^2 + 18*a^12*z^2 - 34*a^6*z^4 + 
   129*a^8*z^4 - 92*a^10*z^4 + 17*a^12*z^4 - 24*a^6*z^6 + 97*a^8*z^6 - 
   56*a^10*z^6 + 7*a^12*z^6 - 8*a^6*z^8 + 42*a^8*z^8 - 17*a^10*z^8 + 
   a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, 
 Knot[15, Alternating, 23934] -> -2*a^4 + 4*a^6 + 8*a^8 - 14*a^10 + 5*a^12 - 
   7*a^4*z^2 + 15*a^6*z^2 + 23*a^8*z^2 - 32*a^10*z^2 + 8*a^12*z^2 - 
   9*a^4*z^4 + 21*a^6*z^4 + 26*a^8*z^4 - 28*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 15*a^6*z^6 + 16*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 23935] -> -4*a^4 + 14*a^6 - 9*a^8 - 2*a^10 + 2*a^12 - 
   12*a^4*z^2 + 37*a^6*z^2 - 11*a^8*z^2 - 13*a^10*z^2 + 5*a^12*z^2 - 
   13*a^4*z^4 + 39*a^6*z^4 + a^8*z^4 - 18*a^10*z^4 + 4*a^12*z^4 - 6*a^4*z^6 + 
   22*a^6*z^6 + 8*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 7*a^6*z^8 + 
   5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 23936] -> -2*a^2 + 6*a^4 - 3*a^6 + 3*a^8 - 5*a^10 + 
   2*a^12 - 5*a^2*z^2 + 13*a^4*z^2 - 2*a^6*z^2 + 7*a^8*z^2 - 11*a^10*z^2 + 
   3*a^12*z^2 - 4*a^2*z^4 + 11*a^4*z^4 + 2*a^6*z^4 + 7*a^8*z^4 - 8*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 23937] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 13*a^2*z^2 - 11*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 12*a^4*z^4 - 10*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 8*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 23938] -> -2 + 3/a^8 - 14/a^6 + 16/a^4 - 2/a^2 - 
   8*z^2 + (6*z^2)/a^8 - (35*z^2)/a^6 + (46*z^2)/a^4 - z^2/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (35*z^4)/a^6 + (56*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (37*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23939] -> -7 + a^(-6) - 6/a^4 + 10/a^2 + 5*a^2 - 
   2*a^4 - 20*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (25*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 21*z^4 + z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 23940] -> 
  -a^4 + 13*a^8 - 16*a^10 + 5*a^12 - 4*a^4*z^2 + 2*a^6*z^2 + 40*a^8*z^2 - 
   38*a^10*z^2 + 8*a^12*z^2 - 6*a^4*z^4 + 3*a^6*z^4 + 53*a^8*z^4 - 
   37*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 36*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 23941] -> 
  -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 23942] -> -2*a^4 + 5*a^6 + 5*a^8 - 11*a^10 + 4*a^12 - 
   7*a^4*z^2 + 15*a^6*z^2 + 21*a^8*z^2 - 29*a^10*z^2 + 7*a^12*z^2 - 
   9*a^4*z^4 + 17*a^6*z^4 + 34*a^8*z^4 - 31*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 11*a^6*z^6 + 28*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 23943] -> -a^2 + 2*a^4 + 2*a^6 + a^8 - 5*a^10 + 
   2*a^12 - 3*a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 + 6*a^8*z^2 - 12*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 + 10*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 7*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 23944] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 9*z^2 + 
   (5*z^2)/a^8 - (29*z^2)/a^6 + (36*z^2)/a^4 + (4*z^2)/a^2 - 12*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (51*z^4)/a^4 + (12*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (38*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23945] -> -3 + a^(-8) - 5/a^6 + 3/a^4 + 5/a^2 - 
   6*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 + (16*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + z^4/a^8 - (10*z^4)/a^6 + (9*z^4)/a^4 + (21*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 23946] -> 
  -2 + a^(-6) - 5/a^4 + 6/a^2 + 3*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 23947] -> 
  -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 7*a^4*z^2 + 17*a^6*z^2 + 
   14*a^8*z^2 - 21*a^10*z^2 + 5*a^12*z^2 - 9*a^4*z^4 + 17*a^6*z^4 + 
   31*a^8*z^4 - 27*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 
   28*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 23948] -> 
  -a^2 + 3*a^4 - 2*a^6 + 6*a^8 - 7*a^10 + 2*a^12 - 3*a^2*z^2 + 7*a^4*z^2 + 
   14*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   5*a^6*z^4 + 14*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 23949] -> -2/a^14 + 8/a^12 - 10/a^10 + 2/a^8 + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (18*z^2)/a^12 - (25*z^2)/a^10 + (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (23*z^4)/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 23950] -> -2 + 3/a^8 - 12/a^6 + 12/a^4 - 7*z^2 + 
   (6*z^2)/a^8 - (29*z^2)/a^6 + (33*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (41*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23951] -> -3 + 4/a^8 - 15/a^6 + 14/a^4 + a^(-2) - 
   9*z^2 + (8*z^2)/a^8 - (37*z^2)/a^6 + (40*z^2)/a^4 + (5*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^8 - (37*z^4)/a^6 + (50*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (35*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23952] -> -1 + 2/a^10 - 6/a^8 + 2/a^6 + 4/a^4 - 
   3*z^2 + (3*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^6 + (12*z^2)/a^4 - 3*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + (17*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 23953] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   4/a^6 - 2/a^4 + a^2 - z^2 + (5*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 23954] -> 2 + a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 
   3/a^2 - a^2 + 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - 
   (19*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23955] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (11*z^4)/a^8 - (11*z^4)/a^6 - (13*z^4)/a^4 - 
   z^4/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 - (2*z^6)/a^2 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23956] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (2*z^4)/a^8 + 
   (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23957] -> -3 - 2/a^4 + 4/a^2 + 5*a^2 - 4*a^4 + a^6 - 
   10*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   4*a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23958] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + 2*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 23959] -> 14 + 2/a^4 - 11/a^2 - a^2 - 3*a^4 + 38*z^2 + 
   (5*z^2)/a^4 - (30*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 52*z^4 + 
   (4*z^4)/a^4 - (34*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 38*z^6 + z^6/a^4 - 
   (17*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 23960] -> 
  5 + a^(-6) - 4/a^4 + a^(-2) - 2*a^4 + 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 23961] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (20*z^4)/a^6 + (22*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23962] -> -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (14*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (21*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 23963] -> -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (20*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 23964] -> 1 - a^(-10) + a^(-8) + 4/a^6 - 
   7/a^4 + 3/a^2 + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (6*z^2)/a^6 - 
   (17*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - 
   (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23965] -> -2/a^4 + 3/a^2 + 3*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 23966] -> 
  -a^(-6) + a^(-4) + a^(-2) + a^2 - 2*a^4 + a^6 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23967] -> 
  -a^(-18) + 6/a^16 - 9/a^14 + a^(-12) + 2/a^10 + 2/a^8 + (6*z^2)/a^16 - 
   (21*z^2)/a^14 + (7*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (12*z^4)/a^14 + (13*z^4)/a^12 + (17*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 23968] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - 
   (5*z^2)/a^12 + (13*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + (9*z^4)/a^10 - (14*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23969] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (10*z^4)/a^10 + (13*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23970] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 23971] -> 
  -4*a^6 + 18*a^8 - 18*a^10 + 5*a^12 - 13*a^6*z^2 + 58*a^8*z^2 - 
   44*a^10*z^2 + 8*a^12*z^2 - 4*a^4*z^4 - 9*a^6*z^4 + 69*a^8*z^4 - 
   41*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 2*a^6*z^6 + 42*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 23972] -> 
  -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 6*a^4*z^2 + 18*a^6*z^2 + 
   7*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   20*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 23973] -> -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 2*a^12 - 
   4*a^4*z^2 + 11*a^6*z^2 + 15*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   6*a^4*z^4 + 17*a^6*z^4 + 16*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 13*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 23974] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - 
   a^(-2) - 4*z^2 + (2*z^2)/a^8 - (15*z^2)/a^6 + (21*z^2)/a^4 + z^2/a^2 - 
   6*z^4 + (2*z^4)/a^8 - (16*z^4)/a^6 + (25*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (21*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 23975] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (13*z^2)/a^12 - (15*z^2)/a^10 + z^2/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (18*z^4)/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 23976] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (17*z^2)/a^8 - (14*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (15*z^4)/a^8 - 
   (21*z^4)/a^6 - (13*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (13*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23977] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (16*z^2)/a^10 + (15*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (14*z^4)/a^10 + (20*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (12*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 23978] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 - (3*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 23979] -> 1 - a^(-12) + a^(-10) + 3/a^8 - 4/a^6 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 + (3*z^2)/a^8 - (11*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - 
   (14*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 23980] -> 3/a^12 - 9/a^10 + 5/a^8 + 3/a^6 - 
   a^(-4) + (7*z^2)/a^12 - (28*z^2)/a^10 + (23*z^2)/a^8 + (10*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^4)/a^12 - (33*z^4)/a^10 + (39*z^4)/a^8 + (11*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + (32*z^6)/a^8 + (9*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 23981] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (3*z^2)/a^12 - (12*z^2)/a^10 + 
   (7*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (8*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 23982] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (22*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (33*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 23983] -> 
  2 - a^(-4) + 3*a^2 - 4*a^4 + a^6 - 2*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 12*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   16*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23984] -> -2/a^4 + 3/a^2 + 2*a^2 - 3*a^4 + a^6 - z^2 - 
   z^2/a^6 + (5*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 23985] -> 
  9 + a^(-4) - 7/a^2 + a^2 - 3*a^4 + 31*z^2 + (4*z^2)/a^4 - (25*z^2)/a^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 48*z^4 + (4*z^4)/a^4 - (32*z^4)/a^2 + 
   14*a^2*z^4 - 12*a^4*z^4 + 37*z^6 + z^6/a^4 - (17*z^6)/a^2 + 13*a^2*z^6 - 
   6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 2*z^10 + 
   a^2*z^10, Knot[15, Alternating, 23986] -> 7 - 4/a^2 - 2*a^4 + 19*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 23*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 23987] -> -a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^2 - (4*z^2)/a^10 + (16*z^2)/a^8 - (13*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - (28*z^4)/a^6 - (11*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (27*z^6)/a^6 - (10*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 23988] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 6*z^2 - (5*z^2)/a^6 + (17*z^2)/a^4 - 
   (10*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 - (4*z^4)/a^6 + (25*z^4)/a^4 - 
   (25*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - (26*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 23989] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - (10*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (3*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 23990] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 23991] -> 
  -2*a^4 + 5*a^6 + 4*a^8 - 9*a^10 + 3*a^12 - 7*a^4*z^2 + 14*a^6*z^2 + 
   23*a^8*z^2 - 29*a^10*z^2 + 7*a^12*z^2 - 9*a^4*z^4 + 14*a^6*z^4 + 
   41*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 23992] -> 
  -a^2 + 2*a^4 + a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 3*a^2*z^2 + 4*a^4*z^2 + 
   9*a^6*z^2 + 6*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   15*a^6*z^4 + 7*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 23993] -> -2 + a^(-10) - 4/a^8 + 3/a^6 - a^(-4) + 
   4/a^2 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23994] -> 
  -a^2 + 2*a^4 + 2*a^6 - 3*a^10 + a^12 - 3*a^2*z^2 + 6*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 
   9*a^6*z^4 - 3*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 23995] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 23996] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 6*z^2 + z^2/a^2 + 17*a^2*z^2 - 
   21*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 23997] -> -a^4 + a^6 + 9*a^8 - 11*a^10 + 3*a^12 - 
   5*a^4*z^2 + 7*a^6*z^2 + 31*a^8*z^2 - 31*a^10*z^2 + 7*a^12*z^2 - 
   8*a^4*z^4 + 10*a^6*z^4 + 44*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 9*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 23998] -> -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 
   a^2*z^2 - 3*a^4*z^2 + 17*a^6*z^2 + 4*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 18*a^6*z^4 + 7*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 23999] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 14*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 
   7*a^4*z^2 - 15*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 24000] -> 
  -2/a^14 + 8/a^12 - 11/a^10 + 5/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (17*z^2)/a^12 - (21*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (20*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 24001] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (12*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (28*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (25*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 24002] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (13*z^4)/a^6 + (14*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (11*z^6)/a^6 + (19*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24003] -> -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (15*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^10 + (13*z^4)/a^8 - (18*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (17*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (9*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 24004] -> -3 - a^(-8) + 2/a^6 - 2/a^4 + 
   4/a^2 + a^4 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 24005] -> 
  -3 - 2/a^4 + 5/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 15*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24006] -> 
  5 - 2/a^2 - 2*a^2 + 4*z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 24007] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 + z^2/a^6 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 13*z^4 - z^4/a^6 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24008] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - 
   z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24009] -> a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 
   a^2*z^4 - 3*a^4*z^4 + 14*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 
   4*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 3*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24010] -> -a^(-10) + 5/a^8 - 7/a^6 + 
   2/a^4 + 2/a^2 - z^2/a^10 + (12*z^2)/a^8 - (16*z^2)/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (11*z^4)/a^8 - (12*z^4)/a^6 - (14*z^4)/a^4 + 
   (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 24011] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24012] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 - z^6/a^10 + (7*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24013] -> 
  1 + a^(-6) - 3/a^4 + 2/a^2 + a^2 - a^4 - z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24014] -> -a^(-6) + 3/a^2 - 2*a^2 + a^4 - z^2 - 
   z^2/a^6 + (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24015] -> -1 - 2/a^6 + 3/a^4 + a^(-2) - a^2 + a^4 - 
   3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 24016] -> 
  a^(-6) - 5/a^4 + 6/a^2 - a^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (17*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (10*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 24017] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 - 9*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 24018] -> 
  -4*a^2 + 18*a^4 - 20*a^6 + 7*a^8 - 12*a^2*z^2 + 55*a^4*z^2 - 66*a^6*z^2 + 
   23*a^8*z^2 - 13*a^2*z^4 + 73*a^4*z^4 - 104*a^6*z^4 + 34*a^8*z^4 - 
   6*a^2*z^6 + 49*a^4*z^6 - 88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 24019] -> -2 + 6*a^2 + a^4 - 8*a^6 + 4*a^8 - 5*z^2 + 
   15*a^2*z^2 + 3*a^4*z^2 - 26*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   3*a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 24020] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 23*z^2 - (4*z^2)/a^2 - 35*a^2*z^2 + 
   14*a^4*z^2 + 40*z^4 - (6*z^4)/a^2 - 68*a^2*z^4 + 24*a^4*z^4 + 33*z^6 - 
   (4*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 24021] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 24022] -> 
  15 + 2/a^4 - 11/a^2 - 3*a^2 - 2*a^4 + 40*z^2 + (5*z^2)/a^4 - (29*z^2)/a^2 - 
   3*a^2*z^2 - 6*a^4*z^2 + 49*z^4 + (4*z^4)/a^4 - (31*z^4)/a^2 + 4*a^2*z^4 - 
   8*a^4*z^4 + 34*z^6 + z^6/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 
   13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 24023] -> -2 + 7*a^2 - 3*a^4 - 3*a^6 + 2*a^8 - 5*z^2 + 
   18*a^2*z^2 - 9*a^4*z^2 - 11*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   12*a^4*z^4 - 19*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 24024] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (22*z^2)/a^4 - (4*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (31*z^4)/a^4 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (25*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 24025] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 24026] -> 10 - 2/a^2 - 12*a^2 + 5*a^4 + 35*z^2 - 
   (7*z^2)/a^2 - 50*a^2*z^2 + 19*a^4*z^2 + 53*z^4 - (9*z^4)/a^2 - 
   84*a^2*z^4 + 28*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 73*a^2*z^6 + 20*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 24027] -> 
  -1 + 2*a^2 + 6*a^4 - 10*a^6 + 4*a^8 - 3*z^2 + 7*a^2*z^2 + 11*a^4*z^2 - 
   25*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 4*a^4*z^4 - 28*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 24028] -> 2 - a^(-4) + 3/a^2 - 7*a^2 + 4*a^4 - z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 19*a^2*z^2 + 9*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 23*a^2*z^4 + 10*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 24029] -> 
  -2 + 3/a^8 - 13/a^6 + 14/a^4 - a^(-2) - 7*z^2 + (6*z^2)/a^8 - 
   (34*z^2)/a^6 + (44*z^2)/a^4 - (2*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - 
   (34*z^4)/a^6 + (54*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (16*z^6)/a^6 + (36*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24030] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 13*z^2 + 
   (2*z^2)/a^4 - (12*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 29*z^4 + 
   (3*z^4)/a^4 - (21*z^4)/a^2 + 9*a^2*z^4 - 8*a^4*z^4 + 27*z^6 + z^6/a^4 - 
   (14*z^6)/a^2 + 9*a^2*z^6 - 5*a^4*z^6 + 12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 24031] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + 7*a^2*z^2 - 
   5*a^4*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24032] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - 
   (18*z^2)/a^2 + 3*z^4 - (3*z^4)/a^6 + (20*z^4)/a^4 - (28*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 - z^6/a^6 + (13*z^6)/a^4 - (24*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 24033] -> -a^4 - a^6 + 15*a^8 - 17*a^10 + 5*a^12 - 
   4*a^4*z^2 - 3*a^6*z^2 + 51*a^8*z^2 - 43*a^10*z^2 + 8*a^12*z^2 - 
   6*a^4*z^4 - a^6*z^4 + 66*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   4*a^6*z^6 + 42*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 24034] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + (21*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (24*z^4)/a^6 + (35*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24035] -> 5 - 3/a^2 + a^2 - 2*a^4 + 17*z^2 + 
   (2*z^2)/a^4 - (13*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 30*z^4 + 
   (3*z^4)/a^4 - (21*z^4)/a^2 + 9*a^2*z^4 - 8*a^4*z^4 + 27*z^6 + z^6/a^4 - 
   (14*z^6)/a^2 + 9*a^2*z^6 - 5*a^4*z^6 + 12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 24036] -> 
  -2*a^4 + 5*a^6 + 3*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 - 3*a^4*z^2 + 
   12*a^6*z^2 + 15*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 14*a^6*z^4 + 20*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 24037] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 
   12*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   9*a^4*z^4 - 12*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 24038] -> 
  a^2 + a^4 - a^6 + 2*z^2 - 11*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 + 5*z^4 - 
   32*a^2*z^4 + 53*a^4*z^4 - 20*a^6*z^4 + 4*z^6 - 31*a^2*z^6 + 60*a^4*z^6 - 
   18*a^6*z^6 + z^8 - 13*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 24039] -> 
  a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 24040] -> 
  -2*a^4 + 3*a^6 + 10*a^8 - 15*a^10 + 5*a^12 - 7*a^4*z^2 + 9*a^6*z^2 + 
   36*a^8*z^2 - 38*a^10*z^2 + 8*a^12*z^2 - 9*a^4*z^4 + 12*a^6*z^4 + 
   50*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 24041] -> 
  -a^2 + a^4 + 4*a^6 - 5*a^10 + 2*a^12 - 3*a^2*z^2 + 3*a^4*z^2 + 10*a^6*z^2 + 
   8*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   11*a^6*z^4 + 13*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   7*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 24042] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 
   9*a^2*z^2 - 3*a^4*z^2 + a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 5*a^4*z^4 - 
   8*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 24043] -> 14 + 3/a^4 - 11/a^2 - 5*a^2 + 
   44*z^2 + (9*z^2)/a^4 - (36*z^2)/a^2 - 15*a^2*z^2 + 73*z^4 + (10*z^4)/a^4 - 
   (53*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 24044] -> 
  -3 + a^(-4) - a^(-2) + 7*a^2 - 3*a^4 - 3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   16*a^2*z^2 - 7*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 24045] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   15*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 9*a^4*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 24046] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + 
   (17*z^4)/a^8 + (14*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (19*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24047] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   7*z^2 + z^2/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^8 - (16*z^4)/a^6 + (22*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24048] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (13*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24049] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24050] -> 
  2 - a^(-2) + 2*a^2 - 5*a^6 + 3*a^8 + 4*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 24051] -> 6 + a^(-6) - 4/a^4 + a^(-2) - 2*a^2 - a^4 + 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   18*z^4 + z^4/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   11*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 24052] -> 
  2 - a^(-2) + 3*a^2 - 4*a^4 + a^8 + 4*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   9*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   10*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 24053] -> 
  7 - 3/a^2 - 3*a^2 + 11*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24054] -> -6 - 2/a^4 + 7/a^2 + 2*a^2 - a^4 + a^6 - 
   18*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 
   22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24055] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 14*z^2 - (5*z^2)/a^6 + (25*z^2)/a^4 - 
   (37*z^2)/a^2 + 20*z^4 - (8*z^4)/a^6 + (41*z^4)/a^4 - (62*z^4)/a^2 + 
   15*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (55*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 24056] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24057] -> 
  3/a^12 - 10/a^10 + 9/a^8 - 2/a^6 + a^(-4) + (3*z^2)/a^12 - (20*z^2)/a^10 + 
   (25*z^2)/a^8 - (2*z^2)/a^6 + z^4/a^12 - (14*z^4)/a^10 + (25*z^4)/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + (12*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24058] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (5*z^2)/a^8 + (20*z^2)/a^6 - (5*z^2)/a^4 + 
   z^4/a^12 - (7*z^4)/a^10 - z^4/a^8 + (23*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24059] -> 
  -2 - 2/a^4 + 4/a^2 + 3*a^2 - 3*a^4 + a^6 - 9*z^2 - z^2/a^6 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + z^4/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 24060] -> 
  -5 - a^(-8) + 3/a^6 - 7/a^4 + 10/a^2 + a^2 - 18*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (27*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 24061] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24062] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 - z^2/a^10 + (13*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   (7*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (15*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24063] -> 1 + a^(-6) - 5/a^4 + 5/a^2 - a^4 + 4*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 24064] -> 3 - a^(-2) - a^2 + a^4 - 2*a^6 + a^8 + 
   6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 24065] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 34*z^2 + 
   (7*z^2)/a^4 - (28*z^2)/a^2 - 12*a^2*z^2 + 59*z^4 + (9*z^4)/a^4 - 
   (44*z^4)/a^2 - 19*a^2*z^4 + 54*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 24066] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^2 - a^4 + a^6 - 2*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24067] -> -a^(-18) + 6/a^16 - 9/a^14 + 4/a^10 + 
   a^(-8) + (6*z^2)/a^16 - (21*z^2)/a^14 + (4*z^2)/a^12 + (17*z^2)/a^10 + 
   (5*z^2)/a^8 - (12*z^4)/a^14 + (11*z^4)/a^12 + (23*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 24068] -> -2 + 4/a^8 - 17/a^6 + 19/a^4 - 
   3/a^2 - 8*z^2 + (8*z^2)/a^8 - (43*z^2)/a^6 + (55*z^2)/a^4 - (4*z^2)/a^2 - 
   10*z^4 + (5*z^4)/a^8 - (42*z^4)/a^6 + (66*z^4)/a^4 + (4*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (42*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24069] -> -2 + 3/a^8 - 13/a^6 + 14/a^4 - a^(-2) - 
   7*z^2 + (6*z^2)/a^8 - (32*z^2)/a^6 + (40*z^2)/a^4 - 9*z^4 + (4*z^4)/a^8 - 
   (33*z^4)/a^6 + (50*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (16*z^6)/a^6 + (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24070] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 + 2*z^4 - 
   z^4/a^10 + (11*z^4)/a^8 - (14*z^4)/a^6 - (7*z^4)/a^4 + z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 24071] -> -2/a^14 + 8/a^12 - 11/a^10 + 
   4/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + (18*z^2)/a^12 - (25*z^2)/a^10 + 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - 
   (24*z^4)/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (13*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 24072] -> 
  -1 + 2/a^10 - 7/a^8 + 4/a^6 + 3/a^4 - 3*z^2 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (10*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (12*z^4)/a^8 + (12*z^4)/a^6 + (20*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 24073] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + 
   z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24074] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (14*z^2)/a^4 - z^2/a^2 - 5*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + 
   (26*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 24075] -> 
  11 + 2/a^4 - 9/a^2 - a^2 - 2*a^4 + 32*z^2 + (5*z^2)/a^4 - (26*z^2)/a^2 - 
   6*a^4*z^2 + 44*z^4 + (4*z^4)/a^4 - (30*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 
   33*z^6 + z^6/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - 
   (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 24076] -> -2/a^10 + 9/a^8 - 13/a^6 + 6/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (25*z^2)/a^8 - (34*z^2)/a^6 + (10*z^2)/a^4 + (3*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (42*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 24077] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 
   3/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (5*z^4)/a^6 - (15*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24078] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 24079] -> 2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 11*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 17*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 24080] -> a^(-12) - 4/a^10 + 4/a^8 - 
   a^(-6) + a^(-2) + (2*z^2)/a^12 - (11*z^2)/a^10 + (15*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (17*z^4)/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24081] -> 2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 
   4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - z^4/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 + (3*z^6)/a^6 - (6*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 24082] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 6*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - 
   (14*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + (19*z^4)/a^4 - (24*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 - z^6/a^6 + (13*z^6)/a^4 - (23*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 24083] -> -2 - 2/a^4 + 4/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   13*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24084] -> 
  -6 - a^(-8) + 3/a^6 - 6/a^4 + 9/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (26*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 24085] -> -2/a^18 + 11/a^16 - 18/a^14 + 
   7/a^12 + 2/a^10 + a^(-8) - z^2/a^18 + (16*z^2)/a^16 - (47*z^2)/a^14 + 
   (28*z^2)/a^12 + (11*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - 
   (37*z^4)/a^14 + (38*z^4)/a^12 + (23*z^4)/a^10 + (6*z^4)/a^8 - 
   (9*z^6)/a^14 + (23*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 24086] -> 
  4 - a^(-4) + a^(-2) - 4*a^2 + a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24087] -> -7 - 3/a^4 + 8/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   24*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   31*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24088] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + 2*a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 5*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 24089] -> 
  1 + a^(-6) - 5/a^4 + 5/a^2 - a^4 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24090] -> -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 
   2/a^4 + 2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (22*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24091] -> -6 - 2/a^8 + 7/a^6 - 11/a^4 + 11/a^2 + 
   2*a^2 - 21*z^2 - z^2/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + (30*z^2)/a^2 + 
   6*a^2*z^2 - 28*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (33*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 24092] -> 
  -3 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 + a^(-2) + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 24093] -> 
  -4*a^4 + 12*a^6 - 4*a^8 - 6*a^10 + 3*a^12 - 12*a^4*z^2 + 29*a^6*z^2 + 
   9*a^8*z^2 - 26*a^10*z^2 + 7*a^12*z^2 - 13*a^4*z^4 + 28*a^6*z^4 + 
   32*a^8*z^4 - 33*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 
   31*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 24094] -> 
  -2*a^2 + 5*a^4 - a^6 + 2*a^8 - 5*a^10 + 2*a^12 - 5*a^2*z^2 + 10*a^4*z^2 + 
   3*a^6*z^2 + 8*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 8*a^4*z^4 + 
   8*a^6*z^4 + 12*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   7*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 24095] -> -a^2 + a^4 + 4*a^6 - 5*a^10 + 2*a^12 - 
   3*a^2*z^2 + 2*a^4*z^2 + 11*a^6*z^2 + 9*a^8*z^2 - 15*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 15*a^6*z^4 + 17*a^8*z^4 - 14*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 24096] -> 
  -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 20*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 24097] -> 
  -1 + 2/a^10 - 7/a^8 + 6/a^6 - a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (19*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (12*z^4)/a^8 + (24*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24098] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24099] -> 
  -5 - a^(-6) + a^(-4) + 3/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 24100] -> -4 - 2/a^8 + 6/a^6 - 7/a^4 + 6/a^2 + 2*a^2 - 
   16*z^2 - z^2/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (21*z^2)/a^2 + 
   5*a^2*z^2 - 25*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (29*z^4)/a^2 + 
   6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 24101] -> 
  -4 - a^(-8) + 4/a^6 - 8/a^4 + 9/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (20*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24102] -> 
  -3 - a^(-10) + 2/a^8 - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 24103] -> -1 + 2*a^2 + 2*a^6 - a^8 - 2*a^10 + a^12 - 
   2*z^2 + 3*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 5*a^10*z^2 + 
   a^12*z^2 - z^4 + 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 + 3*a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 24104] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 24105] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^8*z^4 + 2*z^6 - a^2*z^6 - 4*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 24106] -> 
  -2 + 4*a^2 - a^8 - 5*z^2 + 11*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + 
   14*a^2*z^4 - 7*a^6*z^4 + 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 24107] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 5*z^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 4*a^4*z^4 - 11*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 24108] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (4*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24109] -> 2/a^6 - 7/a^4 + 7/a^2 - a^2 + z^2 + 
   (5*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 24110] -> 
  -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 + z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 24111] -> -a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 5/a^4 + 
   3/a^2 - z^2/a^12 + (8*z^2)/a^10 - (18*z^2)/a^8 + (23*z^2)/a^6 - 
   (18*z^2)/a^4 + (7*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (29*z^4)/a^6 - 
   (27*z^4)/a^4 + (7*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (18*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24112] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   2*z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   2*z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24113] -> -2 + 4*a^2 - a^8 - 2*z^2 - z^2/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 24114] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 24115] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 24116] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24117] -> 
  3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + (10*z^2)/a^8 - (39*z^2)/a^6 + 
   (47*z^2)/a^4 - (15*z^2)/a^2 + (12*z^4)/a^8 - (59*z^4)/a^6 + (78*z^4)/a^4 - 
   (25*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + (69*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 24118] -> 
  -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 6*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (11*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24119] -> 
  -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24120] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24121] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24122] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 11*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24123] -> 1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - 
   a^(-2) + z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24124] -> 
  4 + a^(-4) - 4/a^2 + 3*a^2 - 4*a^4 + a^6 + 6*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 24125] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   9*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 24126] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 3*z^2 + (3*z^2)/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24127] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 24128] -> 
  -2 + a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 3*a^8 - 2*a^10 - 7*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 12*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 
   9*z^4 + z^4/a^2 + 13*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   8*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 24129] -> -4 + 2/a^2 + 7*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   12*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 23*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 
   11*z^4 + z^4/a^2 + 23*a^2*z^4 - 28*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24130] -> 
  1 + a^(-4) - a^(-2) + a^2 - 4*a^4 + 4*a^6 - a^8 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24131] -> 
  -5 + 2/a^2 + 10*a^2 - 12*a^4 + 8*a^6 - 2*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   23*a^2*z^2 - 30*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   25*a^2*z^4 - 32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24132] -> 4 + a^(-4) - 2/a^2 - 3*a^2 - 
   a^4 + 3*a^6 - a^8 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24133] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 3/a^8 + a^(-4) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 + z^2/a^10 - (6*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 24134] -> 2*a^2 - 2*a^4 + 2*a^6 - 4*a^8 + 6*a^10 - 
   3*a^12 + 5*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 14*a^8*z^2 + 17*a^10*z^2 - 
   4*a^12*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - 23*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 9*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 24135] -> 1 - a^2 + 2*a^4 - 2*a^6 + 3*a^10 - 2*a^12 + 
   2*z^2 - 2*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 4*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 24136] -> 2 - a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 
   2/a^4 - a^(-2) + 2*z^2 + (5*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - (9*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 24137] -> 1 - a^4 + a^6 + a^10 - a^12 + 2*z^2 - 
   a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 24138] -> 
  -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 24139] -> 
  a^2 + a^4 - 2*a^6 - a^8 + 5*a^10 - 3*a^12 + 4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   11*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - 22*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 
   8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 24140] -> 2*a^2 - 2*a^4 + a^6 - a^8 + 
   3*a^10 - 2*a^12 + z^2 + 3*a^2*z^2 - 3*a^4*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 24141] -> 2 - a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 
   4/a^4 + 2*z^2 + (5*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (9*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 24142] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24143] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24144] -> 
  -7 + a^(-6) - 3/a^4 + 5/a^2 + 8*a^2 - 3*a^4 - 22*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 28*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (22*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 24145] -> 
  -2 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^2 + a^4 - a^6 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 24146] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 6*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24147] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24148] -> -9 - 2/a^4 + 7/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24149] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24150] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 
   9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 
   14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24151] -> 3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   10*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24152] -> 1 - a^6 + 2*a^8 - a^10 - 2*z^2 + z^2/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 24153] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 7*z^2 + z^2/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24154] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 24155] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24156] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 16*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24157] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + 9*a^2*z^2 - 
   15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 24158] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24159] -> 2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 - z^2 + 
   z^2/a^2 - 4*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 24160] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 3/a^4 + 
   2/a^2 + 3*z^2 + (5*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 - (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24161] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 24162] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 4*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + z^4/a^6 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24163] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 5*z^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (4*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24164] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24165] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - a^4*z^4 - 
   4*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 2*a^2*z^6 - 3*a^4*z^6 - 4*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 3*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 24166] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 4*a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 + 2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 24167] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 24168] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24169] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24170] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + 
   a^8 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 24171] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 15*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 23*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24172] -> 
  1 + 2/a^4 - 3/a^2 + 2*a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24173] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24174] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24175] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 8*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24176] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24177] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 
   5*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 
   7*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 24178] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - z^4/a^2 + 5*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 24179] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + z^2/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + z^4/a^2 - a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 24180] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 24181] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 7*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24182] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 10*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 + 
   2*a^8*z^2 - 5*z^4 + 13*a^2*z^4 - 13*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 24183] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + 2*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   8*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 24184] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 3*z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24185] -> 
  a^(-2) - a^2 + a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24186] -> -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 + 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24187] -> 
  -2/a^14 + 9/a^12 - 12/a^10 + 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (19*z^2)/a^12 - (27*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (15*z^4)/a^12 - (25*z^4)/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 24188] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (10*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (15*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24189] -> 
  -a^(-18) + 6/a^16 - 9/a^14 + 4/a^10 + a^(-8) + (6*z^2)/a^16 - 
   (20*z^2)/a^14 + (3*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 - 
   (12*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + 
   (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 24190] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + 
   (2*z^2)/a^12 - (12*z^2)/a^10 + (16*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (18*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24191] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (13*z^2)/a^10 + (10*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (28*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 24192] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-4) + z^2/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (8*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24193] -> -3 + 10*a^2 - 9*a^4 + 4*a^6 - a^8 - 8*z^2 + 
   25*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   27*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24194] -> -a^(-12) + 4/a^10 - 8/a^8 + 
   7/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + 
   (25*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + 
   (30*z^4)/a^6 - (26*z^4)/a^4 + (7*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - 
   (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 24195] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   2/a^6 + a^(-2) + 2*z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^2 + 2*z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 24196] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 
   3*a^6 - a^8 + 6*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24197] -> -11 - 4/a^4 + 12/a^2 + 5*a^2 - 2*a^4 + a^6 - 
   32*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   36*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24198] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 8*z^2 - z^2/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 24199] -> -5 - 2/a^8 + 7/a^6 - 10/a^4 + 9/a^2 + 
   2*a^2 - 19*z^2 - z^2/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + (28*z^2)/a^2 + 
   5*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (33*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 24200] -> 
  1 + 2/a^10 - 9/a^8 + 12/a^6 - 5/a^4 + z^2/a^10 - (12*z^2)/a^8 + 
   (28*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (22*z^4)/a^6 - (28*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24201] -> -2 - a^(-10) + 3/a^8 - 3/a^6 + 3/a^2 + a^2 - 
   5*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 + 
   (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 24202] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 3*a^2 - 
   2*a^4 + a^6 - 12*z^2 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 24203] -> -3 - 2/a^8 + 6/a^6 - 6/a^4 + 
   4/a^2 + 2*a^2 - 16*z^2 - z^2/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (29*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 24204] -> -3 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   4/a^2 + 2*a^2 - 9*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 24205] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 
   2/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (23*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24206] -> 
  -1 - 2/a^4 + 4/a^2 + a^2 - 2*a^4 + a^6 - 8*z^2 - z^2/a^6 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + z^4/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 24207] -> 
  -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 2*a^2 - 20*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (16*z^2)/a^4 + (24*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 24208] -> -a^(-12) + 4/a^10 - 7/a^8 + 6/a^6 - 
   3/a^4 + 2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (18*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (23*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24209] -> -6 - 3/a^4 + 8/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   21*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   26*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24210] -> 
  1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 - (4*z^4)/a^8 + 
   (17*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24211] -> 2/a^14 - 7/a^12 + 6/a^10 - a^(-8) + a^(-4) + 
   z^2/a^14 - (12*z^2)/a^12 + (22*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^4)/a^12 + (22*z^4)/a^10 - (23*z^4)/a^8 + (14*z^4)/a^6 - 
   z^4/a^4 + (6*z^6)/a^10 - (17*z^6)/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 24212] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 4*z^2 - z^2/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 24213] -> 
  -2 - a^(-8) + 2/a^6 + 3*a^2 - 2*a^4 + a^6 - 2*z^2 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6, Knot[15, Alternating, 24214] -> -3 - a^(-10) + 3/a^8 - 3/a^6 + 
   a^(-4) + 2/a^2 + 2*a^2 - 9*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 24215] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - (4*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 - (4*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 24216] -> 1 + a^(-12) - 4/a^10 + 4/a^8 - 
   a^(-4) + z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - z^4 + (6*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6 - (4*z^6)/a^6 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 24217] -> -4 + 2/a^2 + 6*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 
   10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24218] -> 
  a^(-4) - a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24219] -> 
  -4 + 2/a^2 + 6*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   17*a^2*z^2 - 23*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   22*a^2*z^4 - 29*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24220] -> a^(-4) - a^(-2) + 2*a^2 - 
   3*a^4 + 3*a^6 - a^8 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 24221] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   24*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 29*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24222] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 24223] -> 
  -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   13*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24224] -> -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24225] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24226] -> 2*a^2 - 2*a^4 + 2*a^6 - 3*a^8 + 
   4*a^10 - 2*a^12 + z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 11*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 
   14*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 24227] -> 
  -2 + a^(-2) + 5*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 7*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 25*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24228] -> 1 - a^(-12) + 2/a^10 - a^(-8) + 
   2*z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + z^4 - 
   (7*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24229] -> 
  1 - 2/a^12 + 5/a^10 - 5/a^8 + 3/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + 
   (11*z^2)/a^10 - (15*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24230] -> -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^12 + z^4/a^10 - (15*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 24231] -> 
  2 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 2*a^2 + a^4 + z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24232] -> 1 - 2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*a^2 + 
   a^4 + z^2 - z^2/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (11*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24233] -> 
  -2 + a^(-2) + 4*a^2 - 7*a^4 + 9*a^6 - 4*a^8 - 7*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 24*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24234] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + 
   a^4 - a^6 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24235] -> 
  2 - 3*a^2 + 3*a^4 - 3*a^8 + 3*a^10 - a^12 + 3*z^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 - 12*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 - 
   a^4*z^4 + 8*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 24236] -> -5 + 2/a^2 + 8*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 
   13*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 26*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 
   11*z^4 + z^4/a^2 + 25*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24237] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   18*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   21*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24238] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24239] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24240] -> 
  3 + a^(-4) - 2/a^2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 4*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24241] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 24242] -> 1 - a^4 + 3*a^6 - 5*a^8 + 
   5*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 5*a^4*z^4 + 9*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 24243] -> -4 + 2/a^2 + 5*a^2 - 6*a^4 + 
   7*a^6 - 3*a^8 - 11*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 21*a^4*z^2 + 
   19*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 22*a^2*z^4 - 28*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24244] -> a^(-4) - a^(-2) + a^2 - 2*a^4 + 4*a^6 - 
   2*a^8 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 24245] -> -6 + a^(-6) - 3/a^4 + 5/a^2 + 6*a^2 - 
   2*a^4 - 17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24246] -> 
  -2 - 2/a^8 + 5/a^6 - 5/a^4 + 4/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24247] -> 
  2 - a^(-8) + 2/a^6 - a^(-4) - 2*a^2 + a^4 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24248] -> 1 - a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + 
   2*z^2 - a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 - 12*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 24249] -> -4 + 2/a^2 + 5*a^2 - 5*a^4 + 
   5*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 20*a^4*z^2 + 
   17*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 23*a^2*z^4 - 27*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24250] -> a^(-4) - a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 
   2*a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 24251] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 6*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24252] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24253] -> 
  -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24254] -> -1 + a^(-2) + a^2 + a^6 - 
   3*a^8 + 3*a^10 - a^12 - 2*z^2 + z^2/a^2 + 2*a^6*z^2 - 6*a^8*z^2 + 
   4*a^10*z^2 - 2*z^4 - a^2*z^4 + a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6, Knot[15, Alternating, 24255] -> 3 + a^(-4) - 2/a^2 - 2*a^2 - 
   a^4 + 4*a^6 - 2*a^8 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - 
   5*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24256] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 24257] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24258] -> 4*a^6 - 3*a^8 + a^2*z^2 - 3*a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 + 
   7*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 24259] -> a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + 
   3*a^4 - a^6 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 24260] -> 
  2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 2*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 
   14*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   19*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24261] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + z^2 - 
   a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24262] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 - 
   z^6/a^10 + (7*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24263] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 + (4*z^2)/a^8 - 
   z^2/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24264] -> 2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 
   3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24265] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + a^(-2) + a^2 - z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 24266] -> 
  -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24267] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 24268] -> 
  -1 + a^(-2) + a^2 - a^6 + 2*a^8 - a^10 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 24269] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   14*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + 
   z^4/a^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24270] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24271] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 + 4*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 24272] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 15*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24273] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24274] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 - 3*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 - 9*a^4*z^4 + 
   12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 24275] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24276] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24277] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 21*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24278] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   15*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   22*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24279] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24280] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 7*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24281] -> 
  -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24282] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   7*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24283] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 24284] -> 2 - 2*a^2 + a^4 - z^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24285] -> 3*a^4 - 2*a^6 - 3*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24286] -> 2*a^2 - a^4 - 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24287] -> 2 - 2*a^2 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24288] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24289] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - z^4 + 3*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24290] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 24291] -> 
  a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 24292] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 24293] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 16*a^6*z^2 - 
   8*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24294] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   8*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 - 
   14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24295] -> 3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24296] -> 2*a^4 - a^8 + z^2 - a^2*z^2 + a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 4*a^2*z^4 - 10*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24297] -> 
  -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (16*z^2)/a^8 - 
   (20*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - 
   (30*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (25*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24298] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - (17*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24299] -> 
  8 + a^(-4) - 6/a^2 - 2*a^4 + 16*z^2 + z^2/a^4 - (11*z^2)/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 12*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + 
   z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24300] -> 
  -1 + a^(-6) - 5/a^4 + 6/a^2 + a^2 - a^4 + 2*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 24301] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   13*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 + 4*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 24302] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 - 
   a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 24303] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 
   3/a^6 - a^(-4) + 2*z^2 + (5*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (9*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 24304] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   20*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24305] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24306] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24307] -> 
  3 + a^(-4) - 2/a^2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 24308] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24309] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 
   2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24310] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + 2*z^2 + (4*z^2)/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 + z^4 - (6*z^4)/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24311] -> 3*a^2 - 5*a^4 + 6*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 7*a^2*z^2 - 16*a^4*z^2 + 21*a^6*z^2 - 19*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 5*a^2*z^4 - 23*a^4*z^4 + 25*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 14*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24312] -> 
  4*a^2 - 8*a^4 + 10*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 8*a^2*z^2 - 22*a^4*z^2 + 
   29*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 
   29*a^4*z^4 + 32*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   18*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24313] -> 2 - 3*a^2 + 3*a^4 - a^6 - a^8 + 
   2*a^10 - a^12 + 3*z^2 - 7*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 
   4*a^10*z^2 + 2*z^4 - 8*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   3*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24314] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - z^4/a^4 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 24315] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 19*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (22*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (32*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24316] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - z^2/a^10 + (11*z^2)/a^8 - (12*z^2)/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (11*z^4)/a^8 - (11*z^4)/a^6 - 
   (14*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + z^6/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 24317] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24318] -> -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 
   5*z^2 + z^2/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24319] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   3*z^2 + (5*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 - (8*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24320] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 24321] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (23*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (31*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24322] -> -2 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + a^4 - 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24323] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24324] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24325] -> 2 + a^(-4) - 2/a^2 + a^2 - 3*a^4 + 
   3*a^6 - a^8 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 24326] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 
   2*a^4 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 21*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24327] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^4 + 6*a^2*z^2 - 
   7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 24328] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 24329] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - 
   3*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24330] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 4*z^2 + z^2/a^4 + a^2*z^2 + 5*a^4*z^2 - 
   a^8*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24331] -> -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 
   12*z^2 + z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24332] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 24333] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 24334] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24335] -> 4 - a^(-4) - 2*a^2 + 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24336] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 24337] -> 
  5 - 2/a^2 - 2*a^2 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 - 
   4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   9*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24338] -> 
  3 - a^(-2) - a^2 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24339] -> 2 - 2*a^2 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24340] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   12*z^2 - z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24341] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24342] -> 
  2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (11*z^4)/a^8 - 
   (9*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (20*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24343] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24344] -> -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 
   7*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24345] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   (21*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (6*z^6)/a^8 + 
   (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24346] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - a^2 + 2*a^4 - 
   a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24347] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^4 + 
   z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 24348] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (6*z^4)/a^4 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + (11*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (8*z^8)/a^4 + (3*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 24349] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (13*z^4)/a^4 - 
   (18*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + (11*z^6)/a^4 - (19*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 24350] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 11*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24351] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + 
   (7*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^2 - (2*z^4)/a^10 + (14*z^4)/a^8 - 
   (19*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (20*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24352] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 7*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (12*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (9*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 24353] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24354] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (4*z^4)/a^6 - (15*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24355] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^4 + 
   (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 24356] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   10*z^2 + z^2/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + a^2*z^2 - 11*z^4 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24357] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   z^4 + z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 24358] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 24359] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   6*z^2 - (7*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (12*z^4)/a^2 + a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 24360] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + 
   a^(-2) - (3*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (11*z^4)/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 24361] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 - z^2/a^4 + 
   z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24362] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (11*z^4)/a^8 - (14*z^4)/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (16*z^6)/a^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 24363] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 
   6*z^6 - z^6/a^6 + (11*z^6)/a^4 - (17*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + 
   (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 24364] -> 4 - 2/a^2 - a^4 + 6*z^2 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + (2*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 24365] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 24366] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8 - (3*z^8)/a^6 + (8*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24367] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 - z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 - 4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 24368] -> 1 - a^(-2) + 3*a^2 - 3*a^4 + 
   2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - z^4 + z^4/a^2 + 6*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24369] -> 
  -a^(-12) + 6/a^10 - 13/a^8 + 10/a^6 - a^(-4) + z^2/a^12 - z^2/a^10 - 
   (11*z^2)/a^8 + (19*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (16*z^4)/a^10 + 
   (14*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (22*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24370] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 6*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 24371] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 
   7*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24372] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - (2*z^2)/a^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 24373] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 6*z^2 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + z^4/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24374] -> 2 + a^(-4) - 2/a^2 - z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24375] -> 2 - 2*a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24376] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24377] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 24378] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24379] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^4*z^2 + a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24380] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24381] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24382] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 24383] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 24384] -> 
  1 - 2/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - a^2 + 3*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24385] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24386] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 3*z^2 + (5*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24387] -> 
  1 + z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 24388] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24389] -> -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + 
   a^4 + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 24390] -> 3*a^2 - 5*a^4 + 6*a^6 - 5*a^8 + 
   3*a^10 - a^12 + 7*a^2*z^2 - 18*a^4*z^2 + 23*a^6*z^2 - 17*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 29*a^6*z^4 - 18*a^8*z^4 + 
   4*a^10*z^4 + 4*a^2*z^6 - 18*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24391] -> 
  1 - a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + 
   7*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 24392] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 
   5/a^2 - 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 
   4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24393] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24394] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 24395] -> 7 - 3/a^2 - 3*a^2 + 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24396] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24397] -> 2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + 
   4*a^4*z^2 + 4*a^6*z^2 - 12*a^8*z^2 + 14*a^10*z^2 - 5*a^12*z^2 + 
   8*a^6*z^4 - 17*a^8*z^4 + 10*a^10*z^4 - a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 
   9*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, Knot[15, Alternating, 24398] -> 
  a^4 + 2*a^6 - 5*a^8 + 8*a^10 - 7*a^12 + 2*a^14 + 2*a^4*z^2 + 8*a^6*z^2 - 
   16*a^8*z^2 + 23*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + a^4*z^4 + 10*a^6*z^4 - 
   22*a^8*z^4 + 22*a^10*z^4 - 4*a^12*z^4 - 2*a^4*z^6 + 7*a^6*z^6 - 
   16*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 4*a^6*z^8 - 4*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 24399] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   4*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - z^4 + z^4/a^8 + 
   z^4/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24400] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24401] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24402] -> -6 + 2/a^6 - 9/a^4 + 13/a^2 + 
   a^2 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   (2*z^4)/a^6 + (11*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (12*z^6)/a^4 - (20*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 24403] -> -2 + a^(-8) - 4/a^6 + 4/a^4 + a^(-2) + a^2 - 
   4*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 24404] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 11*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + (11*z^4)/a^4 - 
   (10*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^6 + (12*z^6)/a^4 - 
   (20*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 24405] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 24406] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 24407] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   5*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (9*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24408] -> -a^(-12) + 7/a^10 - 14/a^8 + 9/a^6 + 
   z^2/a^12 + (3*z^2)/a^10 - (18*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (3*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (16*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 24409] -> a^(-10) - a^(-8) - 3/a^6 + 
   4/a^4 + z^2/a^12 - z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24410] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 4*z^2 + 6*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 
   3*z^4 - 22*a^2*z^4 + 50*a^4*z^4 - 20*a^6*z^4 + 4*z^6 - 29*a^2*z^6 + 
   60*a^4*z^6 - 18*a^6*z^6 + z^8 - 13*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 24411] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   21*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 24412] -> 2 - a^(-4) + a^(-2) - a^2 + 13*z^2 - 
   (5*z^2)/a^2 - 6*a^2*z^2 + 37*z^4 + (3*z^4)/a^4 - (20*z^4)/a^2 - 
   14*a^2*z^4 + 45*z^6 + (3*z^6)/a^4 - (23*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 24413] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 + z^4/a^8 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 24414] -> -3 - 2/a^4 + 5/a^2 + a^2 + 
   6*z^2 - z^2/a^4 - 4*a^2*z^2 + 36*z^4 + (4*z^4)/a^4 - (21*z^4)/a^2 - 
   14*a^2*z^4 + 46*z^6 + (4*z^6)/a^4 - (26*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 24415] -> 1 - a^(-2) + 2*a^2 - a^6 + z^2 - 
   z^2/a^2 + 9*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + z^4/a^2 + 17*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 24416] -> -1 - a^(-6) + 2/a^4 + a^2 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 24417] -> -a^(-2) + 5*a^2 - 3*a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 18*z^4 - (3*z^4)/a^2 - 22*a^2*z^4 + 
   10*a^4*z^4 + 22*z^6 - (3*z^6)/a^2 - 39*a^2*z^6 + 13*a^4*z^6 + 11*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 24418] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 7*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 24419] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 4*z^2 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 + 9*z^4 - (5*z^4)/a^6 + (19*z^4)/a^4 - 
   (19*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (39*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 24420] -> 
  4 - a^(-4) - 2*a^2 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 7*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 24421] -> 
  2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (12*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24422] -> 3/a^10 - 9/a^8 + 7/a^6 + z^2/a^12 - 
   (12*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (12*z^4)/a^10 + 
   (5*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (16*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24423] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (9*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24424] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - 
   z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24425] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + 7*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 24426] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^8 - (12*z^4)/a^6 + (17*z^4)/a^4 - (7*z^4)/a^2 + 
   (4*z^6)/a^8 - (20*z^6)/a^6 + (29*z^6)/a^4 - (9*z^6)/a^2 + z^8/a^8 - 
   (11*z^8)/a^6 + (20*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 24427] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24428] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (9*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (18*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (10*z^6)/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24429] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 + (14*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (11*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24430] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 4*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 5*z^4 - 
   (4*z^4)/a^6 + (13*z^4)/a^4 - (10*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (27*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 24431] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 27*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   28*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24432] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24433] -> -2/a^6 + 3/a^4 - z^2/a^10 + 
   (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24434] -> 3 - a^(-2) - a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24435] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24436] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   (5*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (6*z^4)/a^10 + (20*z^4)/a^8 - 
   (19*z^4)/a^6 + (9*z^4)/a^4 - (5*z^6)/a^10 + (28*z^6)/a^8 - (37*z^6)/a^6 + 
   (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 24437] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^10 + (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (9*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24438] -> -2/a^6 + 3/a^4 + z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + z^2/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24439] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 - 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 24440] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 + z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24441] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 2*a^2*z^4 - 5*a^4*z^4 + 
   14*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24442] -> -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - 
   z^2 - a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24443] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 2*a^2*z^4 - 6*a^4*z^4 + 15*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24444] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + z^2 - 
   5*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24445] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + z^2 - z^2/a^4 - 3*a^2*z^2 - 7*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 24446] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 - 4*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 24447] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 - z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 9*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24448] -> 2 - 2*a^2 + a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24449] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24450] -> -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - 
   2*z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 24451] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 - z^2 - 
   z^2/a^4 + 5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24452] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 
   2*a^2 + a^4 + z^2 + z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24453] -> 1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + 
   a^10 - z^2 + 7*a^2*z^2 - 18*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 15*a^2*z^4 - 24*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24454] -> 2 - a^2 - 2*a^4 + 4*a^6 - 
   3*a^8 + a^10 - z^2 + 4*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24455] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24456] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 24457] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 8*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24458] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24459] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 24460] -> 
  a^(-8) - 2/a^6 + 4/a^4 - 4/a^2 + 2*a^2 - 4*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 24461] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 24462] -> 
  2 + a^2 - 7*a^4 + 8*a^6 - 4*a^8 + a^10 - z^2 + 6*a^2*z^2 - 20*a^4*z^2 + 
   21*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 22*a^4*z^4 + 
   23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24463] -> 5*a^2 - 9*a^4 + 8*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 12*a^2*z^2 - 23*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24464] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24465] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   21*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   24*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24466] -> 3 - 3*a^2 - a^4 + 4*a^6 - 3*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 24467] -> 2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 24468] -> -2 + a^(-8) - 3/a^6 + 4/a^4 - a^(-2) + 
   2*a^2 - 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 24469] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (14*z^4)/a^8 - (16*z^4)/a^6 - 
   (14*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (22*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 24470] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   z^4/a^6 - (17*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24471] -> a^(-12) - 6/a^8 + 6/a^6 + (3*z^2)/a^12 - 
   (6*z^2)/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (15*z^4)/a^10 + (8*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (17*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24472] -> 3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + z^2/a^12 + 
   z^2/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24473] -> 
  3 + a^(-4) - 2/a^2 - 3*a^4 + 2*a^6 + 2*z^2 - (4*z^2)/a^2 + 7*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24474] -> a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 - 
   z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - 
   z^4/a^4 + z^4/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 24475] -> 
  -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24476] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 24477] -> 
  -5 + a^(-4) + a^(-2) + 7*a^2 - 4*a^4 + a^8 - 11*z^2 - z^2/a^4 + z^2/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 13*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 24478] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 4*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 24479] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   z^2 + (8*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^10 - 
   z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 - z^6/a^10 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24480] -> 1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 
   2*z^2 + (6*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 24481] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   2*z^4 - z^4/a^2 + 8*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 24482] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 24483] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24484] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24485] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24486] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 14*z^4 - z^4/a^6 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 24487] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24488] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 13*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 24489] -> -2 + a^(-8) - 3/a^6 + 4/a^4 - a^(-2) + 
   2*a^2 - 7*z^2 + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 24490] -> 1 + 2/a^4 - 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 24491] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 23*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24492] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24493] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 25*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24494] -> -7 - a^(-4) + 5/a^2 + 6*a^2 - 
   3*a^4 + a^6 - 27*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 33*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24495] -> 
  -5 - a^(-8) + 4/a^6 - 6/a^4 + 7/a^2 + a^2 + a^4 - 9*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24496] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 - a^2 + 
   2*a^4 - 6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24497] -> 
  2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 4*z^2 - z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 + 
   3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 24498] -> 2 - a^(-8) + 5/a^6 - 8/a^4 + 4/a^2 - a^2 + 
   4*z^2 - z^2/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (6*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 24499] -> 1 - a^(-10) + 4/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^10 + z^2/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + z^4 - 
   z^4/a^10 - z^4/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24500] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   2*z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4 - (6*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24501] -> 
  -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 2*a^4 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (15*z^2)/a^4 + (17*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24502] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24503] -> 
  -1 + 2/a^6 - 4/a^4 + 4/a^2 - a^2 + a^6 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 24504] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 - (2*z^2)/a^14 + (10*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - 
   (9*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 24505] -> -a^(-14) + 3/a^12 - 4/a^10 + 
   2/a^8 + a^(-2) - z^2/a^14 + (7*z^2)/a^12 - (7*z^2)/a^10 + z^2/a^8 + 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 24506] -> 
  a^2 - 2*a^4 + 8*a^6 - 11*a^8 + 7*a^10 - 2*a^12 + 3*a^2*z^2 - 11*a^4*z^2 + 
   28*a^6*z^2 - 26*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   18*a^4*z^4 + 31*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   13*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24507] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 
   3*a^4 - 3*z^2 + 14*a^2*z^2 - 6*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 24508] -> -4 + 2/a^2 + 5*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 13*z^2 + (5*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24509] -> 
  -a^(-10) + 5/a^6 - 7/a^4 + 4/a^2 + z^2 - z^2/a^10 + z^2/a^8 + 
   (13*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (13*z^4)/a^6 - (18*z^4)/a^4 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24510] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 24511] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24512] -> 
  -3 + a^(-6) - 4/a^4 + 5/a^2 + 4*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24513] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - 2*a^2 + 2*a^4 - a^6 + 3*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24514] -> 3 + a^(-4) - 2/a^2 - a^2 - 2*a^4 + 3*a^6 - 
   a^8 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 - 6*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24515] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 10*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24516] -> -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24517] -> 1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + 
   2*z^2 + (9*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 24518] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24519] -> -6 + 3/a^2 + 7*a^2 - 4*a^4 + a^8 - 15*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 24520] -> -3 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + a^4 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24521] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 24522] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24523] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 
   15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24524] -> 
  2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + a^(-2) - z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (21*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (22*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24525] -> -2/a^12 + 7/a^10 - 11/a^8 + 11/a^6 - 8/a^4 + 
   4/a^2 - (3*z^2)/a^12 + (17*z^2)/a^10 - (28*z^2)/a^8 + (27*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (31*z^4)/a^8 + 
   (27*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (16*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 24526] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24527] -> 
  -a^(-14) + a^(-12) + 5/a^10 - 12/a^8 + 8/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 + (8*z^2)/a^10 - (27*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - (29*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 24528] -> 
  -4 + 2/a^2 + 5*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + z^2/a^4 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 24529] -> -14 + a^(-6) - 3/a^4 + 8/a^2 + 13*a^2 - 
   4*a^4 - 37*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 27*a^2*z^2 - 
   6*a^4*z^2 - 38*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24530] -> 
  -14 + a^(-6) - 3/a^4 + 8/a^2 + 13*a^2 - 4*a^4 - 37*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (22*z^2)/a^2 + 27*a^2*z^2 - 6*a^4*z^2 - 38*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 24531] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 7*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (22*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24532] -> 
  -3/a^14 + 9/a^12 - 9/a^10 + 4/a^6 - (7*z^2)/a^14 + (31*z^2)/a^12 - 
   (32*z^2)/a^10 - (2*z^2)/a^8 + (16*z^2)/a^6 - (5*z^4)/a^14 + 
   (37*z^4)/a^12 - (48*z^4)/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (37*z^6)/a^10 - (12*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 24533] -> -2/a^14 + 5/a^12 - 2/a^10 - 
   6/a^8 + 6/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - (5*z^2)/a^10 - 
   (15*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (8*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 24534] -> 
  2*a^2 - 6*a^4 + 10*a^6 - 5*a^8 + z^2 + 4*a^2*z^2 - 16*a^4*z^2 + 
   22*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 18*a^4*z^4 + 
   15*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 24535] -> -a^(-14) + a^(-12) + 5/a^10 - 12/a^8 + 
   8/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 + (8*z^2)/a^10 - (27*z^2)/a^8 + 
   (17*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - 
   (29*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (17*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 24536] -> -13 + a^(-6) - 4/a^4 + 9/a^2 + 12*a^2 - 
   4*a^4 - 35*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (24*z^2)/a^2 + 26*a^2*z^2 - 
   6*a^4*z^2 - 37*z^4 + z^4/a^6 - (9*z^4)/a^4 + (25*z^4)/a^2 + 23*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24537] -> 
  -6 + 3/a^2 + 5*a^2 - 2*a^6 + a^8 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   6*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   6*a^4*z^4 - 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24538] -> -4 + a^(-2) + 10*a^2 - 10*a^4 + 5*a^6 - 
   a^8 - 17*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 25*z^4 + (7*z^4)/a^2 + 32*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 
   18*z^6 + (4*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 24539] -> 
  -9 - a^(-4) + 6/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 25*z^2 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 22*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24540] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 
   17*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 5*z^4 + 17*a^2*z^4 - 24*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24541] -> 
  -4 + a^(-2) + 7*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24542] -> -10 + a^(-6) - 3/a^4 + 7/a^2 + 
   8*a^2 - 2*a^4 - 27*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 28*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24543] -> -2 - a^(-8) + 5/a^6 - 8/a^4 + 6/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (20*z^2)/a^4 + (15*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24544] -> -8 + a^(-6) - 4/a^4 + 7/a^2 + 8*a^2 - 
   3*a^4 - 25*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (19*z^2)/a^2 + 20*a^2*z^2 - 
   5*a^4*z^2 - 28*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24545] -> 
  4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 - z^2 + 11*a^2*z^2 - 25*a^4*z^2 + 
   26*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 11*a^2*z^4 - 28*a^4*z^4 + 
   25*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 15*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24546] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 8*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 18*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24547] -> 
  -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   18*a^2*z^2 - 17*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24548] -> -8 + 4/a^2 + 8*a^2 - 4*a^4 + 
   a^8 - 20*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 24549] -> 
  -1 + 2/a^4 - 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + (3*z^4)/a^4 - z^4/a^2 + 
   7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 24550] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 
   5*z^2 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 
   7*a^2*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 24551] -> -1 + 5*a^2 - 6*a^4 + 6*a^6 - 
   4*a^8 + a^10 - 3*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 18*a^2*z^4 - 23*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24552] -> 
  -a^(-18) + 6/a^16 - 9/a^14 + a^(-12) + 2/a^10 + 2/a^8 + (7*z^2)/a^16 - 
   (24*z^2)/a^14 + (9*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - 
   (18*z^4)/a^14 + (20*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - 
   (2*z^6)/a^14 + (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 24553] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24554] -> 
  -a^4 + 2*a^6 + 8*a^8 - 12*a^10 + 4*a^12 - 4*a^4*z^2 + 6*a^6*z^2 + 
   29*a^8*z^2 - 31*a^10*z^2 + 7*a^12*z^2 - 6*a^4*z^4 + 7*a^6*z^4 + 
   41*a^8*z^4 - 32*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 6*a^6*z^6 + 
   30*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 12*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 24555] -> 
  -7 - a^(-8) + 4/a^6 - 7/a^4 + 9/a^2 + 3*a^2 - 23*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (29*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 24556] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 
   3/a^2 - z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (19*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (25*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24557] -> 
  -1 + 3*a^2 - a^4 + 2*a^6 - 3*a^8 + a^10 - 3*z^2 + 9*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 4*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 - z^6 + 7*a^2*z^6 - 3*a^4*z^6 - 6*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 24558] -> -4 + 4/a^8 - 15/a^6 + 13/a^4 + 
   3/a^2 - 12*z^2 + (8*z^2)/a^8 - (39*z^2)/a^6 + (41*z^2)/a^4 + 
   (10*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - (40*z^4)/a^6 + (55*z^4)/a^4 + 
   (16*z^4)/a^2 - 6*z^6 + z^6/a^8 - (18*z^6)/a^6 + (39*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 24559] -> 
  -3 + 3/a^8 - 12/a^6 + 11/a^4 + 2/a^2 - 9*z^2 + (6*z^2)/a^8 - (31*z^2)/a^6 + 
   (35*z^2)/a^4 + (6*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (44*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (31*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 24560] -> 
  -4 - a^(-4) + 3/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 12*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24561] -> 2 + a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - a^(-2) - a^2 + 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24562] -> 
  -a^(-10) + 2/a^8 - 2/a^4 + 2/a^2 - a^2 + a^4 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24563] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24564] -> 
  -2 - 2/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + a^4 - 6*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (14*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24565] -> -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) + 
   a^4 - 4*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 - (5*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 24566] -> 
  -a^(-18) + 6/a^16 - 9/a^14 + a^(-12) + 3/a^10 + a^(-6) + (6*z^2)/a^16 - 
   (21*z^2)/a^14 + (9*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (11*z^4)/a^14 + (13*z^4)/a^12 + (13*z^4)/a^10 + (6*z^4)/a^8 + 
   (3*z^4)/a^6 + (6*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 24567] -> 8 - 4/a^2 - 2*a^2 - a^4 + 18*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 19*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 24568] -> -2*a^4 + 8*a^6 - 4*a^8 - 2*a^10 + a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 22*a^6*z^2 - 6*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 25*a^6*z^4 - 2*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 3*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 24569] -> -a^(-14) + 4/a^12 - 5/a^10 + 
   a^(-8) + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (15*z^2)/a^10 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (18*z^4)/a^10 - 
   (8*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 24570] -> -1 + 2/a^8 - 8/a^6 + 8/a^4 - 
   4*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + (23*z^2)/a^4 + z^2/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (31*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24571] -> -3 + 2/a^8 - 8/a^6 + 6/a^4 + 4/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (25*z^2)/a^6 + (26*z^2)/a^4 + (9*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (29*z^4)/a^6 + (39*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24572] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (15*z^2)/a^8 - (14*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (23*z^4)/a^8 - (26*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 24573] -> -2/a^6 + 3/a^4 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24574] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 2/a^6 + 
   a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 24575] -> 
  -2 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + a^4 - 5*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24576] -> 1 - a^(-12) + 2/a^10 - a^(-6) - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24577] -> 
  -4 + 3/a^8 - 11/a^6 + 8/a^4 + 5/a^2 - 12*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + 
   (27*z^2)/a^4 + (15*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (41*z^4)/a^4 + (20*z^4)/a^2 - 6*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (33*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 24578] -> 
  -3 - 2/a^6 + 4/a^4 + 2*a^2 - 10*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - 
   (10*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + (26*z^4)/a^4 - 
   (27*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + (15*z^6)/a^4 - 
   (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 24579] -> 
  1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 24580] -> -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24581] -> -a^(-4) + 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 - 
   6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24582] -> 
  1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (7*z^2)/a^4 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (13*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 24583] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - 
   a^2 + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24584] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24585] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (15*z^2)/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (19*z^4)/a^10 - 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 24586] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   2/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - 
   (6*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 24587] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (4*z^2)/a^10 + (14*z^2)/a^8 - (10*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (24*z^4)/a^8 - (25*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (26*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 24588] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24589] -> -8 - 2/a^4 + 7/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24590] -> 
  -2 + 4*a^2 + a^6 - 3*a^8 + a^10 - 5*z^2 + 12*a^2*z^2 - 3*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 24591] -> -4 + 2/a^2 + 7*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   11*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 22*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24592] -> 
  1 + a^(-4) - a^(-2) + a^2 - 4*a^4 + 4*a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24593] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 - 7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24594] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24595] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - 2*z^2 + 4*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24596] -> 
  7 - 4/a^2 + a^2 - 4*a^4 + a^6 + 18*z^2 - (10*z^2)/a^2 + 7*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 + 23*z^4 - (10*z^4)/a^2 + 13*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 24597] -> 5 - a^(-4) - a^(-2) - 3*a^4 + a^6 + 12*z^2 - 
   (3*z^2)/a^4 - 7*a^4*z^2 + 2*a^6*z^2 + 14*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 24598] -> 3 - 2/a^4 + 2/a^2 - a^2 - 2*a^4 + a^6 + 
   6*z^2 - z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 24599] -> 
  -3 - 2/a^4 + 4/a^2 + 5*a^2 - 4*a^4 + a^6 - 12*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24600] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + 2*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 24601] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + z^2/a^10 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24602] -> 2 - a^(-4) + 3*a^2 - 4*a^4 + a^6 - z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24603] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + 
   (21*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (23*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24604] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 
   6/a^4 + 2/a^2 + 3*z^2 + (5*z^2)/a^10 - (12*z^2)/a^8 + (19*z^2)/a^6 - 
   (16*z^2)/a^4 + z^2/a^2 + 2*z^4 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (16*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (7*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24605] -> 
  -3 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 6/a^2 + a^4 - 5*z^2 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - 
   (5*z^4)/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2, Knot[15, Alternating, 24606] -> 
  1 - a^(-12) + 4/a^10 - 7/a^8 + 7/a^6 - 4/a^4 + a^(-2) + 2*z^2 + 
   (5*z^2)/a^10 - (15*z^2)/a^8 + (20*z^2)/a^6 - (12*z^2)/a^4 + 2*z^4 - 
   (9*z^4)/a^8 + (18*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24607] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + a^(-6) + 
   a^(-2) - (5*z^2)/a^12 + (14*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + (9*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 24608] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 
   2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24609] -> -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - 4*z^2 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 24610] -> 
  -3 + a^(-2) + 8*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 
   19*a^2*z^2 - 26*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 
   22*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24611] -> 1 + a^6 - 4*a^8 + 5*a^10 - 
   2*a^12 + 2*z^2 - 2*a^2*z^2 + 4*a^6*z^2 - 12*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 24612] -> -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24613] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 5*a^2*z^2 - 7*a^4*z^2 + 
   9*a^6*z^2 - 15*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   13*a^4*z^4 + 12*a^6*z^4 - 22*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   9*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 24614] -> 
  1 - a^2 + 3*a^4 - 3*a^6 - a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 5*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 24615] -> -a^(-14) + a^(-12) + 3/a^10 - 6/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 + (5*z^2)/a^10 - (13*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (14*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 24616] -> 
  -3/a^14 + 7/a^12 - 4/a^10 - 3/a^8 + 3/a^6 + a^(-4) - (4*z^2)/a^14 + 
   (20*z^2)/a^12 - (16*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (17*z^4)/a^12 - (22*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (14*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 24617] -> -2/a^14 + 4/a^12 - a^(-10) - 3/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (8*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (12*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 24618] -> 
  2*a^2 - 2*a^4 + a^6 + a^10 - a^12 + z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 - 
   2*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 24619] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24620] -> 
  a^4 + 2*a^6 - 4*a^8 + 5*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 
   9*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 
   11*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 2*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 24621] -> a^2 + a^4 - 3*a^8 + 3*a^10 - 
   a^12 + z^2 - a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 5*a^10*z^2 + z^4 - 
   3*a^2*z^4 - 5*a^4*z^4 + 11*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 
   3*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 24622] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24623] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   3*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24624] -> 1 + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) - a^2 + 
   a^4 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 24625] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24626] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24627] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24628] -> -5 - a^(-8) + 3/a^6 - 7/a^4 + 10/a^2 + a^2 - 
   14*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 
   15*z^4 - z^4/a^8 + (6*z^4)/a^6 - (19*z^4)/a^4 + (28*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24629] -> 
  -5 - a^(-6) + a^(-4) + 3/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 15*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + 14*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 24630] -> 
  -4 - 2/a^8 + 6/a^6 - 7/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (23*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24631] -> 
  1 + a^(-10) - 5/a^8 + 6/a^6 - a^(-4) - a^(-2) + z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 - z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (17*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 24632] -> 
  -a^(-14) + a^(-12) + 3/a^10 - 7/a^8 + 4/a^6 + a^(-4) - z^2/a^14 + 
   (4*z^2)/a^12 + (5*z^2)/a^10 - (14*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^12 + z^4/a^10 - (15*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 24633] -> -2 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + a^4 - 
   7*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24634] -> 1 - 2/a^12 + 5/a^10 - 5/a^8 + 5/a^6 - 
   5/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (11*z^2)/a^10 - (15*z^2)/a^8 + 
   (12*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24635] -> a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 
   a^2 - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 - (4*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 24636] -> -5 + a^(-6) - 2/a^4 + 3/a^2 + 
   6*a^2 - 2*a^4 - 17*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24637] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24638] -> 
  a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + a^4 - z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^4 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24639] -> -4 + 2/a^2 + 6*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   13*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24640] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24641] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (10*z^2)/a^4 + z^4 - (7*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24642] -> 2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 
   4*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (9*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24643] -> 
  a^(-6) - a^(-4) + a^2 - 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24644] -> 2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + 
   a^4 + z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24645] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24646] -> 1 - a^4 + 3*a^6 - 4*a^8 + 
   3*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 13*a^6*z^2 - 12*a^8*z^2 + 
   5*a^10*z^2 + 2*z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + 
   z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 24647] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   25*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   32*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 24648] -> -4 + 2/a^2 + 5*a^2 - 5*a^4 + 
   5*a^6 - 2*a^8 - 13*z^2 + (3*z^2)/a^2 + 19*a^2*z^2 - 18*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 21*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24649] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24650] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24651] -> 
  a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 13*a^6*z^2 - 
   16*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 18*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24652] -> 4*a^4 - 4*a^6 + 2*a^10 - a^12 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   11*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24653] -> 2*a^2 - a^4 - a^8 + 2*a^10 - 
   a^12 + 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   3*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24654] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 8*z^2 + z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 24655] -> 
  -2 + a^(-8) - 2/a^6 + 3/a^4 - a^(-2) + a^2 + a^4 - 5*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 24656] -> 
  4*a^2 - 8*a^4 + 11*a^6 - 11*a^8 + 7*a^10 - 2*a^12 + 8*a^2*z^2 - 
   23*a^4*z^2 + 32*a^6*z^2 - 27*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 + 
   7*a^2*z^4 - 30*a^4*z^4 + 35*a^6*z^4 - 23*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24657] -> 
  3*a^2 - 5*a^4 + 7*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + 7*a^2*z^2 - 17*a^4*z^2 + 
   23*a^6*z^2 - 21*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 
   23*a^4*z^4 + 26*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   14*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 24658] -> 1 + a^(-10) - 3/a^8 + 5/a^6 - 
   5/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - 
   (12*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24659] -> -4 + 2/a^2 + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   13*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24660] -> 
  a^(-4) - a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24661] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 + (6*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 24662] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^4 + z^4 - z^4/a^10 + z^4/a^8 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24663] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2/a^6 - 
   (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 24664] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 9*z^2 + z^2/a^6 - z^2/a^2 + 
   5*a^2*z^2 - 14*z^4 - (4*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   9*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24665] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   5*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 24666] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 3*z^2 + 14*a^2*z^2 - 23*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 6*z^4 + 23*a^2*z^4 - 32*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24667] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + 2*a^10 - a^12 + 7*a^2*z^2 - 18*a^4*z^2 + 
   22*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 27*a^4*z^4 + 
   29*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 18*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24668] -> -1 + a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + 
   2*a^2 - 4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 24669] -> 
  a^(-8) - 2/a^6 + 3/a^4 - 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 24670] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 8*a^4*z^4 + 6*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24671] -> 1 - a^4 + 2*a^6 - 2*a^8 + 2*a^10 - a^12 + 
   2*z^2 - 3*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24672] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 24673] -> 
  2 - a^(-2) + a^2 - a^4 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24674] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24675] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 24676] -> 
  -11 + a^(-6) - 6/a^4 + 12/a^2 + 7*a^2 - 2*a^4 - 26*z^2 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (28*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24677] -> 
  -2 + a^(-2) + 6*a^2 - 8*a^4 + 5*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   18*a^2*z^2 - 19*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24678] -> -4 + 2/a^2 + 7*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24679] -> 
  -2/a^12 + 6/a^10 - 8/a^8 + 4/a^6 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - z^4/a^10 - (20*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (7*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 24680] -> 
  2 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24681] -> -4 + 2/a^2 + 6*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 
   13*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 23*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (2*z^4)/a^2 + 26*a^2*z^4 - 25*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 16*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24682] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24683] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24684] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24685] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24686] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 24687] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 7/a^6 + 2/a^4 - a^(-2) + (3*z^2)/a^10 - 
   (15*z^2)/a^8 + (15*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (14*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24688] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 24689] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24690] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 24691] -> 
  5 - 2/a^2 - 2*a^2 - a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 + a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24692] -> -a^(-4) + 2/a^2 - a^4 + 2*a^6 - a^8 + z^2 + 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24693] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24694] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 4*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24695] -> 1 - a^(-2) + 3*a^2 - 3*a^4 + 2*a^6 - a^8 + 
   3*z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 
   z^4/a^2 + 3*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24696] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 
   4*a^2 - a^4 - 10*z^2 + z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   13*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24697] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 4*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24698] -> 3/a^10 - 9/a^8 + 7/a^6 + z^2/a^12 + 
   z^2/a^10 - (13*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (3*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (15*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24699] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - 
   z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (5*z^4)/a^10 + (7*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24700] -> -3 + 10*a^2 - 9*a^4 + 4*a^6 - a^8 - 11*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 20*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 24701] -> 
  -a^(-4) + 2/a^2 - a^4 + 2*a^6 - a^8 - z^2 + z^2/a^2 + 5*a^2*z^2 - 
   8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[15, Alternating, 24702] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^4 + 6*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 24703] -> 
  2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24704] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 + z^2 - 
   4*a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 6*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24705] -> 
  -1 + a^(-2) + a^2 + a^6 - 2*a^8 + a^10 - z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24706] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^8 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24707] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 4*z^2 + (8*z^2)/a^6 - (17*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 24708] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24709] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24710] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 - z^2 + 
   z^2/a^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24711] -> 1 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*a^2 - a^4 - 7*z^2 + z^2/a^6 + z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24712] -> 
  3 + a^(-4) - 2/a^2 - 3*a^2 + 3*a^4 - a^6 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   8*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24713] -> 
  -6 - a^(-4) + 5/a^2 + 2*a^2 + 2*a^4 - a^6 - 12*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 24714] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24715] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24716] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 7*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24717] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24718] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 24719] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (16*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24720] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (17*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24721] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 24722] -> 1 + a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 2*a^4*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 24723] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 15*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24724] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24725] -> -5 - a^(-8) + 2/a^6 - 3/a^4 + 6/a^2 + 
   2*a^2 - 14*z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24726] -> -a^(-12) + 2/a^10 - 4/a^4 + 4/a^2 - 
   z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 24727] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   7/a^6 - 7/a^4 + 4/a^2 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + z^4/a^10 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24728] -> -3 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + a^4 - 
   6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 24729] -> 
  -3 + 2/a^2 + 3*a^2 - 5*a^4 + 7*a^6 - 3*a^8 - 9*z^2 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24730] -> -a^(-14) + 2/a^12 + a^(-10) - 
   6/a^8 + 4/a^6 + a^(-4) - (3*z^2)/a^14 + (10*z^2)/a^12 - (2*z^2)/a^10 - 
   (14*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (8*z^4)/a^10 - (18*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 24731] -> -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + 
   a^8 - 12*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 - 7*z^4 - z^4/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24732] -> -2/a^14 + 5/a^12 - 3/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (10*z^2)/a^10 - (8*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (13*z^4)/a^10 - 
   (16*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 24733] -> a^(-2) - a^2 - 2*a^4 + 6*a^6 - 3*a^8 - 
   5*z^2 + (4*z^2)/a^2 + a^2*z^2 - 11*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24734] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - 
   (6*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (13*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 24735] -> 
  -4 + 2/a^2 + 6*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 13*z^2 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24736] -> -4 + 2/a^2 + 6*a^2 - 9*a^4 + 
   10*a^6 - 4*a^8 - 12*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 24*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 28*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24737] -> a^(-2) - a^2 - 3*a^4 + 8*a^6 - 4*a^8 - 
   5*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 16*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 
   12*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 25*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 9*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24738] -> 
  -3 + 2/a^2 + a^2 + 3*a^6 - 2*a^8 - 5*z^2 + z^2/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24739] -> 
  -3/a^14 + 8/a^12 - 5/a^10 - 5/a^8 + 6/a^6 - (7*z^2)/a^14 + (29*z^2)/a^12 - 
   (26*z^2)/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (5*z^4)/a^14 + 
   (36*z^4)/a^12 - (44*z^4)/a^10 - (11*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (36*z^6)/a^10 - (12*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 24740] -> -2/a^14 + 5/a^12 - 3/a^10 - 
   2/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (7*z^2)/a^10 - 
   (9*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (9*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 24741] -> 
  -4 + 2/a^2 + 6*a^2 - 9*a^4 + 10*a^6 - 4*a^8 - 12*z^2 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 24*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 
   16*a^2*z^4 - 28*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24742] -> -2/a^14 + 8/a^12 - 11/a^10 + 
   4/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + (16*z^2)/a^12 - (23*z^2)/a^10 + 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - 
   (20*z^4)/a^10 + (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 24743] -> 2 - a^(-10) + 2/a^8 - 2/a^6 + 4/a^4 - 
   4/a^2 - a^2 + a^4 + 3*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - (6*z^4)/a^6 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^6/a^2 - z^8/a^2, 
 Knot[15, Alternating, 24744] -> a^(-12) - 2/a^10 - 2/a^8 + 3/a^6 + 2/a^4 - 
   a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + (9*z^4)/a^8 + 
   (12*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (9*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24745] -> 2 - a^(-12) + 2/a^10 - a^(-6) - a^(-2) + 
   3*z^2 - z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24746] -> 
  -a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 24747] -> 
  1 - a^(-12) + a^(-10) + 3/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24748] -> -2/a^14 + 7/a^12 - 7/a^10 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (17*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (19*z^4)/a^10 - (9*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 24749] -> 2 - 2/a^6 + 4/a^4 - 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 24750] -> 
  3/a^16 - 7/a^14 + a^(-12) + 3/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (26*z^2)/a^14 + (16*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 - 
   (23*z^4)/a^14 + (34*z^4)/a^12 + (22*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   (4*z^6)/a^14 + (25*z^6)/a^12 + (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 24751] -> 
  -1 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 - a^2 + a^4 - 2*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 24752] -> 
  2 - a^(-12) + 2/a^10 - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 24753] -> -3/a^14 + 7/a^12 - 4/a^10 - 
   2/a^8 + a^(-6) + 2/a^4 - (4*z^2)/a^14 + (19*z^2)/a^12 - (15*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (16*z^4)/a^12 - 
   (20*z^4)/a^10 - (11*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (13*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 24754] -> 
  -2/a^14 + 4/a^12 - a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + 
   (8*z^2)/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (10*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 24755] -> -2 + 2/a^2 - a^2 + 3*a^4 - 2*a^6 + 2*a^8 - 
   a^10 - 4*z^2 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 
   3*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 24756] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 - z^4/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 5*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24757] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24758] -> 
  2 - a^(-12) + 2/a^10 - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (3*z^2)/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24759] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24760] -> 
  2 - a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 3/a^4 + 3*z^2 + (3*z^2)/a^10 - 
   z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 - (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24761] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24762] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 
   4*z^2 - z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24763] -> 
  2 - a^(-4) + 3*a^2 - 4*a^4 + a^6 - 4*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24764] -> -2/a^4 + 3/a^2 + 2*a^2 - 3*a^4 + 
   a^6 - z^2 - z^2/a^6 + (4*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   z^4 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 24765] -> 2 + a^(-8) - 2/a^6 + 3/a^4 - 3/a^2 - a^2 + 
   a^4 + z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24766] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24767] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24768] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 - 2*a^2*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 10*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24769] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   10*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24770] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24771] -> 
  -a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 5/a^4 + 4/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24772] -> 2 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 24773] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 - 
   z^2 + 5*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24774] -> -5 + 3/a^2 + 4*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   15*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   20*z^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24775] -> 3*a^2 - 5*a^4 + 6*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 7*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 16*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + 5*a^2*z^4 - 22*a^4*z^4 + 22*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 14*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24776] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (6*z^4)/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24777] -> 
  -4 - a^(-8) + 2/a^6 - 2/a^4 + 4/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24778] -> -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 24779] -> -a^(-6) + 2/a^4 - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 24780] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 - z^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 19*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24781] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 - 5*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 24782] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^4 - 
   (6*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24783] -> 
  -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   12*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24784] -> -4 + 2/a^2 + 5*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 
   12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24785] -> 
  a^(-4) - a^(-2) + a^2 - a^4 + 2*a^6 - a^8 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24786] -> 1 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   2/a^4 + a^(-2) + 2*z^2 + (4*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (6*z^4)/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24787] -> 3*a^2 - 5*a^4 + 5*a^6 - 4*a^8 + 4*a^10 - 
   2*a^12 + 7*a^2*z^2 - 15*a^4*z^2 + 18*a^6*z^2 - 15*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + 5*a^2*z^4 - 22*a^4*z^4 + 22*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 14*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 24788] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24789] -> -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   29*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 
   34*z^4 - (6*z^4)/a^4 + (26*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 24790] -> 4*a^2 - 8*a^4 + 9*a^6 - 7*a^8 + 
   5*a^10 - 2*a^12 + 8*a^2*z^2 - 22*a^4*z^2 + 28*a^6*z^2 - 20*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 29*a^4*z^4 + 32*a^6*z^4 - 
   20*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 18*a^4*z^6 + 18*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 24791] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 24792] -> 
  2 - 3*a^2 + 3*a^4 - 2*a^6 + a^8 + a^10 - a^12 + 3*z^2 - 7*a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 8*a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 24793] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) - (5*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24794] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 + z^6/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24795] -> 2 - a^(-2) - a^2 + a^4 + 2*a^6 - 2*a^8 + 
   2*z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24796] -> 
  1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 3*z^2 - z^2/a^2 + a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24797] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (2*z^2)/a^4 + 16*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24798] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 24799] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24800] -> -2 - a^(-6) + 3/a^4 - 2/a^2 + 5*a^2 - 
   2*a^4 - 8*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   14*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24801] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + a^2 + 2*a^4 - a^6 - 6*z^2 + (2*z^2)/a^4 + 
   z^2/a^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 24802] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24803] -> 2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 
   4*z^2 - z^2/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 24804] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 24805] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 2*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + (2*z^4)/a^6 - 
   (7*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 24806] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 16*z^4 - (7*z^4)/a^6 + 
   (31*z^4)/a^4 - (43*z^4)/a^2 + 17*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (55*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (32*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 24807] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (13*z^2)/a^2 - 2*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (16*z^4)/a^2 + 
   4*a^2*z^4 - 8*z^6 - z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 24808] -> -2 + 6*a^2 - 3*a^4 - z^2 - a^2*z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 + 6*z^4 - 28*a^2*z^4 + 46*a^4*z^4 - 17*a^6*z^4 + 
   5*z^6 - 33*a^2*z^6 + 56*a^4*z^6 - 17*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   32*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 24809] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 20*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 24810] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + a^2*z^2 - 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 7*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 24811] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 3*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 7*z^4 - (4*z^4)/a^6 + 
   (14*z^4)/a^4 - (15*z^4)/a^2 + 12*z^6 - (4*z^6)/a^6 + (24*z^6)/a^4 - 
   (35*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (25*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 24812] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^2 - 6*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 24813] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 - (2*z^2)/a^10 + (13*z^2)/a^8 - 
   (24*z^2)/a^6 + (14*z^2)/a^4 - (7*z^4)/a^10 + (37*z^4)/a^8 - (59*z^4)/a^6 + 
   (22*z^4)/a^4 - (5*z^6)/a^10 + (35*z^6)/a^8 - (62*z^6)/a^6 + (18*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 24814] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - (2*z^2)/a^10 + (11*z^2)/a^8 - 
   (16*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (19*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (12*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24815] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 28*z^2 + 
   z^2/a^4 - (12*z^2)/a^2 - 12*a^2*z^2 + 61*z^4 + (7*z^4)/a^4 - 
   (36*z^4)/a^2 - 21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 
   18*a^2*z^6 + 33*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 24816] -> 
  4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 16*z^2 + z^2/a^4 - (6*z^2)/a^2 - 
   7*a^2*z^2 + 23*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 
   16*z^6 + z^6/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 24817] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + 11*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - 
   (28*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (25*z^6)/a^4 - (41*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 24818] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 5*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24819] -> 
  1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 7*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 24820] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 10*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 + 11*z^4 - (4*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 + 
   31*z^6 - (11*z^6)/a^2 - 28*a^2*z^6 + 5*a^4*z^6 + 24*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 24821] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 
   8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 24822] -> a^(-2) - a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 5*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 24823] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + a^2*z^2 + 
   a^4*z^2 + a^8*z^2 - 8*a^2*z^4 + 23*a^4*z^4 - 23*a^6*z^4 + 7*a^8*z^4 - 
   12*a^2*z^6 + 37*a^4*z^6 - 29*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 24824] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 4*z^4 + 7*a^2*z^4 - 
   a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 24825] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 
   6*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 19*z^4 - (7*z^4)/a^2 - 21*a^2*z^4 + 
   7*a^4*z^4 + 36*z^6 - (12*z^6)/a^2 - 29*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - 
   (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 24826] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 
   8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 24827] -> 2 - a^2 - a^4 + a^6 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 2*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 24828] -> 2 - a^2 - a^4 + a^6 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24829] -> a^(-2) - a^2 + a^4 - 9*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 17*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (15*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24830] -> 18 + 3/a^4 - 13/a^2 - 7*a^2 + 
   66*z^2 + (19*z^2)/a^4 - (61*z^2)/a^2 - 20*a^2*z^2 + 89*z^4 + 
   (33*z^4)/a^4 - (103*z^4)/a^2 - 18*a^2*z^4 + 56*z^6 + (24*z^6)/a^4 - 
   (88*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (41*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 24831] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 7*z^4 - (5*z^4)/a^6 + (15*z^4)/a^4 - 
   (21*z^4)/a^2 + 5*z^6 - (11*z^6)/a^6 + (32*z^6)/a^4 - (28*z^6)/a^2 + z^8 - 
   (6*z^8)/a^6 + (24*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - 
   (2*z^10)/a^2 + z^12/a^4, Knot[15, Alternating, 24832] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24833] -> 
  10 + 3/a^4 - 10/a^2 - 2*a^4 + 17*z^2 + (11*z^2)/a^4 - (29*z^2)/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + (13*z^4)/a^4 - (33*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (6*z^6)/a^4 - (21*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 24834] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24835] -> 
  -2 + 6*a^2 - 3*a^4 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 + 24*z^4 - (8*z^4)/a^2 - 
   22*a^2*z^4 + 7*a^4*z^4 + 37*z^6 - (12*z^6)/a^2 - 29*a^2*z^6 + 5*a^4*z^6 + 
   25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 24836] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - z^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 7*z^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 
   4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 24837] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 - a^4*z^2 + 
   11*z^4 - (4*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 + 24*z^6 - (8*z^6)/a^2 - 
   20*a^2*z^6 + 4*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + a^4*z^8 + 
   7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 24838] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 18*z^6 + 
   (7*z^6)/a^4 - (19*z^6)/a^2 - 4*a^2*z^6 + 11*z^8 + (5*z^8)/a^4 - 
   (18*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 24839] -> -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - z^4 + z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24840] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24841] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24842] -> 
  3 - a^(-2) - a^2 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24843] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 13*z^2 - z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24844] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24845] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 26*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (25*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (32*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24846] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 24847] -> 
  16 + 3/a^4 - 12/a^2 - 6*a^2 + 56*z^2 + (16*z^2)/a^4 - (52*z^2)/a^2 - 
   17*a^2*z^2 + 80*z^4 + (29*z^4)/a^4 - (91*z^4)/a^2 - 17*a^2*z^4 + 54*z^6 + 
   (23*z^6)/a^4 - (82*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - 
   (40*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 24848] -> 7 + a^(-6) - 2/a^4 - 2/a^2 - 3*a^2 + 
   21*z^2 + (4*z^2)/a^6 - (5*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + 24*z^4 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 - (16*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (13*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 24849] -> -2/a^10 + 10/a^8 - 16/a^6 + 9/a^4 - 
   (12*z^2)/a^10 + (46*z^2)/a^8 - (59*z^2)/a^6 + (24*z^2)/a^4 - 
   (25*z^4)/a^10 + (83*z^4)/a^8 - (87*z^4)/a^6 + (22*z^4)/a^4 - 
   (22*z^6)/a^10 + (77*z^6)/a^8 - (59*z^6)/a^6 + (8*z^6)/a^4 - (8*z^8)/a^10 + 
   (39*z^8)/a^8 - (18*z^8)/a^6 + z^8/a^4 - z^10/a^10 + (10*z^10)/a^8 - 
   (2*z^10)/a^6 + z^12/a^8, Knot[15, Alternating, 24850] -> 
  -a^(-10) + 5/a^8 - 6/a^6 + 3/a^2 - (7*z^2)/a^10 + (21*z^2)/a^8 - 
   (16*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (11*z^4)/a^10 + (28*z^4)/a^8 - 
   (10*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^10 + (19*z^6)/a^8 + 
   (4*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (7*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24851] -> 4/a^6 - 9/a^4 + 6/a^2 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - (7*z^4)/a^10 + 
   (10*z^4)/a^8 + (16*z^4)/a^6 - (29*z^4)/a^4 + (6*z^4)/a^2 - (5*z^6)/a^10 + 
   (12*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24852] -> 3 + a^(-8) - a^(-6) + a^(-4) - 3/a^2 + 
   4*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (8*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 24853] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 10*z^2 - (7*z^2)/a^6 + (26*z^2)/a^4 - 
   (30*z^2)/a^2 + 12*z^4 - (17*z^4)/a^6 + (53*z^4)/a^4 - (51*z^4)/a^2 + 
   6*z^6 - (17*z^6)/a^6 + (57*z^6)/a^4 - (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (32*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 24854] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + 
   a^2 - z^2 - (5*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 - (8*z^4)/a^6 + (21*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24855] -> a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 24856] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 
   16*a^2*z^2 - 19*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 8*z^4 + 21*a^2*z^4 - 
   14*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 24857] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   7*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 
   7*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 
   4*z^6 - z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 24858] -> 8 + 3/a^4 - 9/a^2 + a^2 - 2*a^4 + 
   15*z^2 + (9*z^2)/a^4 - (25*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + 
   (12*z^4)/a^4 - (30*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (6*z^6)/a^4 - (20*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24859] -> 
  5 + a^(-6) - a^(-4) - 3/a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 24860] -> -2/a^10 + 8/a^8 - 9/a^6 + a^(-4) + 3/a^2 - 
   (7*z^2)/a^10 + (23*z^2)/a^8 - (19*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   (11*z^4)/a^10 + (28*z^4)/a^8 - (11*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^10 + (19*z^6)/a^8 + (4*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24861] -> 1 - a^(-10) + 4/a^8 - 3/a^6 - 2/a^4 + 
   2/a^2 + 2*z^2 - (4*z^2)/a^10 + (9*z^2)/a^8 - z^2/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + z^4 - (4*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24862] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 24863] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - 
   2*z^2 - (2*z^2)/a^10 + (2*z^2)/a^8 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 24864] -> 
  2 + a^(-4) - 2/a^2 - 3*z^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24865] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 24866] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 24867] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24868] -> 4 - 2/a^2 - a^4 + 23*z^2 - 
   (8*z^2)/a^2 - 17*a^2*z^2 + 5*a^4*z^2 + 53*z^4 - (17*z^4)/a^2 - 
   44*a^2*z^4 + 11*a^4*z^4 + 57*z^6 - (17*z^6)/a^2 - 40*a^2*z^6 + 6*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 24869] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 14*z^2 - (5*z^2)/a^2 - 10*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 21*z^4 - (8*z^4)/a^2 - 8*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 24870] -> 8 - 3/a^2 - 5*a^2 + a^4 + 16*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - 14*a^2*z^2 + 4*a^4*z^2 + 15*z^4 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 10*z^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 24871] -> 
  3 - a^(-2) - a^2 + 5*z^2 - z^2/a^4 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 24872] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 24873] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 10*a^2*z^4 + 
   a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 24874] -> -2 + a^(-4) + 2*a^2 - 9*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24875] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 - 4*a^4*z^2 + 22*a^6*z^2 - 17*a^8*z^2 + 
   3*a^10*z^2 + a^12*z^2 - 8*a^4*z^4 + 26*a^6*z^4 - 10*a^8*z^4 - 7*a^10*z^4 + 
   3*a^12*z^4 - 5*a^4*z^6 + 16*a^6*z^6 + 2*a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 24876] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - 2*a^2*z^2 + 
   9*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   8*a^4*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 24877] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 
   25*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 30*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24878] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 24879] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24880] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + 
   z^4/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24881] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 24882] -> 
  3 - 7*a^2 + 8*a^4 - 3*a^6 + 8*z^2 - 27*a^2*z^2 + 29*a^4*z^2 - 9*a^6*z^2 + 
   17*z^4 - 54*a^2*z^4 + 50*a^4*z^4 - 12*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 
   41*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 32*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 24883] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 11*a^2*z^2 + 15*a^4*z^2 - 
   5*a^6*z^2 - 4*z^4 + (4*z^4)/a^2 - 13*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 
   8*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 24884] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24885] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 24886] -> 3*a^4 - 2*a^6 + 10*a^4*z^2 - 19*a^6*z^2 + 
   18*a^8*z^2 - 6*a^10*z^2 + 18*a^4*z^4 - 51*a^6*z^4 + 45*a^8*z^4 - 
   11*a^10*z^4 + 17*a^4*z^6 - 57*a^6*z^6 + 40*a^8*z^6 - 6*a^10*z^6 + 
   7*a^4*z^8 - 32*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 
   2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 24887] -> 
  a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 2*a^2*z^2 + 3*a^4*z^2 - 12*a^6*z^2 + 
   13*a^8*z^2 - 4*a^10*z^2 + 4*a^2*z^4 - 4*a^4*z^4 - 14*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 10*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 24888] -> 
  5*a^4 - 7*a^6 + 4*a^8 - a^10 + a^2*z^2 + 6*a^4*z^2 - 14*a^6*z^2 + 
   13*a^8*z^2 - 4*a^10*z^2 + 4*a^2*z^4 - 3*a^4*z^4 - 14*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 10*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 24889] -> 
  2*a^2 - 3*a^6 + 3*a^8 - a^10 + 3*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   6*a^8*z^2 - 2*a^10*z^2 + z^4 + a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 24890] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24891] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 17*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 24892] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24893] -> 2 + a^(-4) - 2/a^2 + 11*z^2 + (3*z^2)/a^4 - 
   (11*z^2)/a^2 - 4*a^2*z^2 + 29*z^4 + (9*z^4)/a^4 - (29*z^4)/a^2 - 
   8*a^2*z^4 + 30*z^6 + (12*z^6)/a^4 - (38*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + 
   (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 24894] -> 10 + 3/a^4 - 10/a^2 - 2*a^4 + 
   17*z^2 + (11*z^2)/a^4 - (29*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + 
   (13*z^4)/a^4 - (33*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   (6*z^6)/a^4 - (21*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24895] -> 
  3 - a^(-2) - a^2 + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 4*z^4 - z^4/a^6 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24896] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 24897] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   9*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   10*a^2*z^4 + 4*a^4*z^4 + 23*z^6 - (8*z^6)/a^2 - 20*a^2*z^6 + 4*a^4*z^6 + 
   19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 24898] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24899] -> 1 - a^2 + 2*a^4 - a^6 + 5*z^2 - 14*a^2*z^2 + 
   14*a^4*z^2 - 4*a^6*z^2 + 12*z^4 - 37*a^2*z^4 + 32*a^4*z^4 - 8*a^6*z^4 + 
   13*z^6 - 43*a^2*z^6 + 31*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 24900] -> 2 - a^2 - a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 24901] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 4*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24902] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 + 3*z^2 - 9*a^2*z^2 + 5*a^4*z^2 + 35*z^4 - 
   (12*z^4)/a^2 - 39*a^2*z^4 + 11*a^4*z^4 + 50*z^6 - (16*z^6)/a^2 - 
   39*a^2*z^6 + 6*a^4*z^6 + 31*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 
   9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 24903] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   11*a^2*z^2 + 4*a^4*z^2 + 11*z^4 - (3*z^4)/a^4 + z^4/a^2 - 16*a^2*z^4 + 
   4*a^4*z^4 + 9*z^6 - (4*z^6)/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 24904] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + (13*z^4)/a^8 - 
   (38*z^4)/a^6 + (36*z^4)/a^4 - (10*z^4)/a^2 + (16*z^6)/a^8 - (51*z^6)/a^6 + 
   (38*z^6)/a^4 - (6*z^6)/a^2 + (7*z^8)/a^8 - (31*z^8)/a^6 + (15*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 24905] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + (3*z^2)/a^8 - 
   (10*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 - 3*z^4 + (7*z^4)/a^8 - 
   (18*z^4)/a^6 + (10*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (14*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24906] -> 1 + z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24907] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 3*a^2*z^2 + 
   17*a^4*z^2 - 24*a^6*z^2 + 9*a^8*z^2 - 16*a^2*z^4 + 48*a^4*z^4 - 
   49*a^6*z^4 + 12*a^8*z^4 - 17*a^2*z^6 + 56*a^4*z^6 - 41*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 24908] -> 
  1 + 2*a^4 - 4*a^6 + 2*a^8 - 2*a^2*z^2 + 9*a^4*z^2 - 14*a^6*z^2 + 
   5*a^8*z^2 - 4*z^4 + 3*a^2*z^4 + 12*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 8*a^2*z^6 + 10*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 24909] -> 4 - a^(-4) - 2*a^2 + 24*z^2 + (4*z^2)/a^4 - 
   (16*z^2)/a^2 - 9*a^2*z^2 + 49*z^4 + (16*z^4)/a^4 - (48*z^4)/a^2 - 
   12*a^2*z^4 + 41*z^6 + (17*z^6)/a^4 - (56*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + 
   (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 24910] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 10*z^4 + (8*z^4)/a^4 - 
   (20*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24911] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 3*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 + 
   20*z^4 - (7*z^4)/a^2 - 26*a^2*z^4 + 8*a^4*z^4 + 36*z^6 - (12*z^6)/a^2 - 
   30*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 24912] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 24913] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24914] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (10*z^2)/a^8 + (5*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   (8*z^4)/a^10 + (17*z^4)/a^8 + (6*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24915] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24916] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 4*z^4 + (8*z^4)/a^4 - 
   (16*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24917] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 24918] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + (11*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24919] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 24920] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 11*z^2 - (4*z^2)/a^6 + 
   (10*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 15*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 24921] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 4*z^2 + z^2/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24922] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 24923] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (7*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24924] -> 19 + 2/a^4 - 12/a^2 - 8*a^2 + 75*z^2 + 
   (11*z^2)/a^4 - (52*z^2)/a^2 - 28*a^2*z^2 + 117*z^4 + (13*z^4)/a^4 - 
   (75*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + (6*z^6)/a^4 - (50*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 24925] -> 
  -a^6 + 11*a^8 - 13*a^10 + 4*a^12 - 4*a^4*z^2 + a^6*z^2 + 39*a^8*z^2 - 
   37*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 5*a^6*z^4 + 55*a^8*z^4 - 
   39*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 39*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 24926] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 22*z^2 - (5*z^2)/a^2 - 29*a^2*z^2 + 
   11*a^4*z^2 + 42*z^4 - (8*z^4)/a^2 - 61*a^2*z^4 + 21*a^4*z^4 + 36*z^6 - 
   (5*z^6)/a^2 - 62*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 24927] -> 7 - 3/a^2 - 3*a^2 + 31*z^2 + (4*z^2)/a^4 - 
   (20*z^2)/a^2 - 12*a^2*z^2 + 62*z^4 + (8*z^4)/a^4 - (41*z^4)/a^2 - 
   21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (36*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 24928] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   12*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 14*a^2*z^4 + 8*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 24929] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + 18*a^2*z^4 - 
   8*a^4*z^4 + 8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 24930] -> 11 - 5/a^2 - 5*a^2 + 31*z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 - (7*z^2)/a^2 - 14*a^2*z^2 + 36*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (3*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 24931] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 18*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 - 9*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - 
   10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 24932] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 17*z^4 - (4*z^4)/a^2 - 19*a^2*z^4 + 
   8*a^4*z^4 + 24*z^6 - (4*z^6)/a^2 - 36*a^2*z^6 + 12*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 24933] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 + 2*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 24934] -> -3 - 4/a^4 + 8/a^2 - 4*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (20*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 24935] -> 
  -2 - 3/a^4 + 6/a^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - a^4*z^2 + 
   5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 
   5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 24936] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 24937] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 10*z^2 - (2*z^2)/a^6 + (15*z^2)/a^4 - 
   (24*z^2)/a^2 + 16*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - (47*z^4)/a^2 + 
   14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 24938] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 11*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (5*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24939] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 21*z^2 + z^2/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + 
   46*z^4 + (5*z^4)/a^4 - (27*z^4)/a^2 - 16*a^2*z^4 + 48*z^6 + (4*z^6)/a^4 - 
   (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 24940] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24941] -> a^(-6) - 3/a^4 + 3/a^2 + 4*z^2 + z^2/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + 12*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (32*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (25*z^6)/a^4 - (42*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 24942] -> 
  2/a^8 - 6/a^6 + 5/a^4 - (2*z^2)/a^10 + (10*z^2)/a^8 - (16*z^2)/a^6 + 
   (8*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - (17*z^4)/a^6 + 
   (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 24943] -> 
  2 + a^(-4) - 2/a^2 - z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24944] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (6*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 24945] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 24946] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 24947] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (9*z^4)/a^8 - (5*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24948] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 24949] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + z^4/a^2 + 5*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 5*z^6 + 
   z^6/a^2 + 4*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 24950] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^6 - z^4/a^4 + (9*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 24951] -> 2*a^2 - a^4 - 10*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 24952] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 24953] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 + a^6*z^2 + 
   6*z^4 - (4*z^4)/a^2 - 8*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 
   4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 24954] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 24955] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   4*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 3*z^4 + 6*a^2*z^4 - 4*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 24956] -> a^2 + a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24957] -> 1 + 3*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 19*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24958] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24959] -> 2 - a^2 - a^4 + a^6 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 
   18*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 24960] -> 1 - 7*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 24961] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   11*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (8*z^4)/a^6 + (16*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24962] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 19*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 24963] -> 
  16 + 3/a^4 - 12/a^2 - 6*a^2 + 62*z^2 + (18*z^2)/a^4 - (58*z^2)/a^2 - 
   19*a^2*z^2 + 87*z^4 + (32*z^4)/a^4 - (100*z^4)/a^2 - 18*a^2*z^4 + 56*z^6 + 
   (24*z^6)/a^4 - (87*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - 
   (41*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 24964] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   16*z^2 + (7*z^2)/a^6 - (15*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 23*z^4 + 
   (11*z^4)/a^6 - (23*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 - (11*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (7*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 24965] -> 11 + 3/a^4 - 10/a^2 - 2*a^2 - a^4 + 20*z^2 + 
   (11*z^2)/a^4 - (30*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + 
   (13*z^4)/a^4 - (34*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (6*z^6)/a^4 - (21*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 24966] -> 
  5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 11*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 24967] -> 1 - 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24968] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 24969] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 3*z^2 - 
   (3*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - (5*z^4)/a^2 + 
   13*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 24970] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 3*z^4 + 7*a^2*z^4 - 3*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 24971] -> -1 + 4*a^2 - 2*a^4 - z^2 + 4*a^2*z^2 - 
   a^4*z^2 + 12*z^4 - (4*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 + 24*z^6 - 
   (8*z^6)/a^2 - 20*a^2*z^6 + 4*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + 
   a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 24972] -> -1 - 2/a^4 + 4/a^2 + 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 7*z^4 - (9*z^4)/a^6 + (26*z^4)/a^4 - 
   (25*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + (38*z^6)/a^4 - (29*z^6)/a^2 + z^8 - 
   (6*z^8)/a^6 + (25*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - 
   (2*z^10)/a^2 + z^12/a^4, Knot[15, Alternating, 24973] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 
   z^4 - 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 7*z^6 - 19*a^2*z^6 + 
   18*a^4*z^6 - 4*a^6*z^6 + 5*z^8 - 18*a^2*z^8 + 11*a^4*z^8 - a^6*z^8 + 
   z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 24974] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24975] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   3*z^2 + 5*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 24976] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   z^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 
   2*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 3*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 24977] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   7*z^2 + 22*a^2*z^2 - 26*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 31*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 24978] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 - (3*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 24979] -> 4 + 3/a^4 - 6/a^2 + 10*z^2 - 
   (6*z^2)/a^6 + (22*z^2)/a^4 - (29*z^2)/a^2 + 12*z^4 - (17*z^4)/a^6 + 
   (52*z^4)/a^4 - (51*z^4)/a^2 + 6*z^6 - (17*z^6)/a^6 + (57*z^6)/a^4 - 
   (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (32*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 24980] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   14*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (7*z^4)/a^6 + (12*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24981] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   10*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 24982] -> 14 + 3/a^4 - 11/a^2 - 5*a^2 + 50*z^2 + 
   (15*z^2)/a^4 - (48*z^2)/a^2 - 15*a^2*z^2 + 68*z^4 + (25*z^4)/a^4 - 
   (79*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + (19*z^6)/a^4 - (69*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 24983] -> 
  6 + a^(-6) - a^(-4) - 3/a^2 - 2*a^2 + 7*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 24984] -> 5 - 2/a^6 + 8/a^4 - 10/a^2 + 13*z^2 - 
   (10*z^2)/a^6 + (35*z^2)/a^4 - (40*z^2)/a^2 + 13*z^4 - (21*z^4)/a^6 + 
   (65*z^4)/a^4 - (60*z^4)/a^2 + 6*z^6 - (18*z^6)/a^6 + (63*z^6)/a^4 - 
   (43*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 24985] -> -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - 
   (6*z^2)/a^10 + (19*z^2)/a^8 - (17*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   (8*z^4)/a^10 + (23*z^4)/a^8 - (12*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 24986] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   11*z^2 - (5*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (8*z^4)/a^6 + (17*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24987] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 10*z^2 - 
   (5*z^2)/a^4 + (14*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - z^4 - (8*z^4)/a^4 + 
   (18*z^4)/a^2 - 15*a^2*z^4 + 4*a^4*z^4 + 7*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 24988] -> 
  a^(-8) - 4/a^4 + 4/a^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 - 
   (14*z^2)/a^4 + (8*z^2)/a^2 - (8*z^4)/a^10 + (17*z^4)/a^8 + z^4/a^6 - 
   (20*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 24989] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 24990] -> 
  -7 + 4/a^2 + 4*a^2 - 20*z^2 - (2*z^2)/a^6 + (12*z^2)/a^2 + 6*a^2*z^2 - 
   20*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24991] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 24992] -> 2 + 3/a^4 - 5/a^2 + a^2 - 2*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (8*z^4)/a^6 + (19*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 24993] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   5*z^2 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 24994] -> 
  6*a^2 - 10*a^4 + 6*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 
   26*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 
   27*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 24995] -> 3 - 3*a^2 + a^6 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 24996] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 24997] -> 
  a^2 + a^6 - a^8 + z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 24998] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 24999] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 25000] -> 
  5 - 2/a^2 - 2*a^2 + 26*z^2 - (9*z^2)/a^2 - 21*a^2*z^2 + 6*a^4*z^2 + 
   50*z^4 - (16*z^4)/a^2 - 40*a^2*z^4 + 9*a^4*z^4 + 49*z^6 - (14*z^6)/a^2 - 
   33*a^2*z^6 + 5*a^4*z^6 + 27*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 25001] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + 
   a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25002] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   3*a^2*z^4 - 4*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 2*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 25003] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 
   10*a^2*z^2 - a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 13*a^2*z^4 + 
   3*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 25004] -> a^2 + a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25005] -> a^2 + a^4 - a^6 + 2*a^2*z^2 - a^6*z^2 + 
   a^8*z^2 + z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + 
   a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 25006] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25007] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (15*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 25008] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25009] -> 
  2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 - 
   3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 25010] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 - 2*a^4*z^2 + 19*a^6*z^2 - 18*a^8*z^2 + 
   6*a^10*z^2 - a^2*z^4 - 3*a^4*z^4 + 19*a^6*z^4 - 14*a^8*z^4 + a^12*z^4 - 
   a^2*z^6 + 10*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 25011] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (27*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   26*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (33*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25012] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 25013] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25014] -> 2/a^6 - 5/a^4 + 4/a^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (2*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - (7*z^4)/a^10 + 
   (14*z^4)/a^8 + (3*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + 
   (13*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25015] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25016] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 25017] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (5*z^2)/a^10 + (17*z^2)/a^8 - 
   (15*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (22*z^4)/a^8 - 
   (12*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 25018] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 13*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 - 16*z^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 2*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + 2*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25019] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 8*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25020] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 6*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 25021] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 19*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 13*z^4 - 
   (8*z^4)/a^4 + (22*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (5*z^6)/a^4 + 
   (15*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 25022] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25023] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25024] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^8*z^2 - 
   5*z^4 + 11*a^2*z^4 - 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 
   10*a^2*z^6 + 4*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25025] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   11*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 + 
   (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 25026] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25027] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 15*a^2*z^2 - 20*a^4*z^2 + 
   8*a^6*z^2 + a^8*z^2 - 4*z^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 17*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 12*a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 25028] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25029] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25030] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 23*z^2 - z^2/a^4 + (9*z^2)/a^2 + 28*a^2*z^2 - 
   12*a^4*z^2 + a^6*z^2 - 34*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 24*a^2*z^4 - 
   4*a^4*z^4 - 20*z^6 - (4*z^6)/a^4 + (15*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25031] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 5*z^2 + (3*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 
   4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - 
   z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 25032] -> -2 + 7*a^2 - 5*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25033] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 5*z^2 + (6*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (2*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25034] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 25035] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25036] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25037] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 
   10*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 3*a^4*z^4 - 11*a^6*z^4 + 
   13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 25038] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   a^2*z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 
   2*a^4*z^4 - 11*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25039] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + z^4 + 2*a^2*z^4 - 11*a^4*z^4 + 13*a^6*z^4 - 
   2*a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25040] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + z^2/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25041] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25042] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 6*z^4 + 14*a^2*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25043] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25044] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 
   3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25045] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 - 3*a^4*z^2 + 21*a^6*z^2 - 18*a^8*z^2 + 
   4*a^10*z^2 + a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 21*a^6*z^4 - 13*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 11*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 25046] -> 
  2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 
   a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 25047] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 22*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25048] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - (11*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^12 - (13*z^4)/a^10 - (16*z^4)/a^8 + 
   (13*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25049] -> 16 + 3/a^4 - 12/a^2 - 6*a^2 + 52*z^2 + 
   (16*z^2)/a^4 - (50*z^2)/a^2 - 15*a^2*z^2 + 68*z^4 + (25*z^4)/a^4 - 
   (80*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + (19*z^6)/a^4 - (69*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25050] -> 
  3 - 9*a^2 + 12*a^4 - 5*a^6 + 12*z^2 - 38*a^2*z^2 + 41*a^4*z^2 - 
   12*a^6*z^2 + 21*z^4 - 67*a^2*z^4 + 59*a^4*z^4 - 13*a^6*z^4 + 18*z^6 - 
   63*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 25051] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 21*z^2 + 
   (7*z^2)/a^2 + 18*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 25*z^4 + (9*z^4)/a^2 + 
   11*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 25052] -> -2 + a^(-2) + a^2 + 3*a^4 - 
   2*a^6 - 11*z^2 + (5*z^2)/a^2 + a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 17*z^4 + 
   (8*z^4)/a^2 - 4*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25053] -> 
  3 + 2/a^4 - 4/a^2 - z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25054] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25055] -> -1 + a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25056] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 3*a^2*z^2 - 
   12*z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25057] -> 1 + 2*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25058] -> 
  1 + 4*z^2 - 12*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 12*z^4 - 36*a^2*z^4 + 
   32*a^4*z^4 - 8*a^6*z^4 + 13*z^6 - 43*a^2*z^6 + 31*a^4*z^6 - 5*a^6*z^6 + 
   6*z^8 - 26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 25059] -> 
  2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   9*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25060] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25061] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 
   2*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25062] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25063] -> -2/a^14 + 9/a^12 - 14/a^10 + 6/a^8 + 2/a^6 - 
   (7*z^2)/a^14 + (29*z^2)/a^12 - (39*z^2)/a^10 + (13*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^4)/a^14 + (36*z^4)/a^12 - (50*z^4)/a^10 + (7*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (37*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 25064] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 27*z^2 + (7*z^2)/a^4 - (24*z^2)/a^2 - 
   9*a^2*z^2 + 50*z^4 + (17*z^4)/a^4 - (53*z^4)/a^2 - 12*a^2*z^4 + 41*z^6 + 
   (17*z^6)/a^4 - (57*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25065] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 + 2*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 13*z^4 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 25066] -> 5 + 3/a^4 - 8/a^2 + 4*a^2 - 3*a^4 + 5*z^2 + 
   (9*z^2)/a^4 - (21*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + 
   (10*z^4)/a^4 - (24*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25067] -> 
  -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - z^4/a^6 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25068] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + (4*z^4)/a^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25069] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25070] -> 4 - 6*a^2 + 3*a^4 + 17*z^2 - (5*z^2)/a^2 - 
   22*a^2*z^2 + 7*a^4*z^2 + 38*z^4 - (12*z^4)/a^2 - 37*a^2*z^4 + 9*a^4*z^4 + 
   43*z^6 - (13*z^6)/a^2 - 32*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 25071] -> -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25072] -> 
  2 - a^(-4) + a^(-2) - a^2 + 18*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 - 
   7*a^2*z^2 + 37*z^4 + (12*z^4)/a^4 - (36*z^4)/a^2 - 9*a^2*z^4 + 32*z^6 + 
   (13*z^6)/a^4 - (43*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - 
   (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25073] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 - 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25074] -> 
  -3 + 2/a^2 + 2*a^2 + z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 23*z^4 - 
   (8*z^4)/a^2 - 28*a^2*z^4 + 8*a^4*z^4 + 37*z^6 - (12*z^6)/a^2 - 
   30*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 25075] -> 
  1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + z^2 - 5*a^2*z^2 + 12*a^4*z^2 - 
   13*a^6*z^2 + 4*a^8*z^2 - 2*z^4 - a^2*z^4 + 12*a^4*z^4 - 14*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 8*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25076] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - (4*z^4)/a^4 + (7*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 25077] -> -3 + a^(-2) + 4*a^2 - a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 25078] -> 1 + a^4 - 2*a^6 + a^8 - z^2 + 
   3*a^2*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + a^4*z^4 - 
   11*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25079] -> 3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 11*a^4*z^4 - 
   3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25080] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 11*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25081] -> 2 - 2*a^2 + 2*a^6 - a^8 - z^2 + 5*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 25082] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 - 2*z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25083] -> -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 13*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 
   6*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 25084] -> -1 + a^(-2) + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25085] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 15*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 + 
   (8*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25086] -> 
  -3 - a^(-8) + 3/a^4 + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 25087] -> -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 
   4/a^6 - (4*z^2)/a^14 + (7*z^2)/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 25088] -> 
  1 - 2/a^2 + 6*a^2 - 4*a^4 + 2*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   17*a^2*z^2 - 8*a^4*z^2 - z^4 + (7*z^4)/a^4 - (13*z^4)/a^2 + 21*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25089] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 5*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (5*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 25090] -> 
  -4 + 2/a^8 - 4/a^6 - 3/a^4 + 10/a^2 - 8*z^2 + (7*z^2)/a^8 - (14*z^2)/a^6 - 
   (5*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 + (9*z^4)/a^8 - (20*z^4)/a^6 - 
   (8*z^4)/a^4 + (23*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25091] -> 
  -a^(-14) + 3/a^10 - 3/a^8 + 2/a^4 - (3*z^2)/a^14 + (5*z^2)/a^12 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 25092] -> 
  -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 10*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^6 + (15*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 11*z^6 - z^6/a^6 + (9*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25093] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 + 
   a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 25094] -> 1 - a^(-4) + 2/a^2 - a^2 - a^4 + 
   a^6 + 4*z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25095] -> a^(-6) - 3/a^4 + 3/a^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + 
   (13*z^4)/a^8 - (6*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25096] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25097] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 + 2*z^4 + (4*z^4)/a^4 - 
   (14*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + 7*z^6 + z^6/a^4 - (10*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 25098] -> 
  2*a^2 - a^4 + 3*z^2 + z^2/a^6 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   7*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25099] -> 1 + 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - a^4*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25100] -> 
  -1 + a^(-2) + a^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + a^2*z^2 - a^4*z^2 + 
   2*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 25101] -> 
  17 + 2/a^4 - 11/a^2 - 7*a^2 + 64*z^2 + (9*z^2)/a^4 - (44*z^2)/a^2 - 
   24*a^2*z^2 + 104*z^4 + (12*z^4)/a^4 - (67*z^4)/a^2 - 34*a^2*z^4 + 88*z^6 + 
   (6*z^6)/a^4 - (48*z^6)/a^2 - 24*a^2*z^6 + 41*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 25102] -> 6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 19*z^2 + 
   (4*z^2)/a^4 - (18*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 23*z^4 + 
   (4*z^4)/a^4 - (21*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 15*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25103] -> 
  -2*a^6 + 13*a^8 - 14*a^10 + 4*a^12 - 2*a^4*z^2 - 7*a^6*z^2 + 50*a^8*z^2 - 
   41*a^10*z^2 + 8*a^12*z^2 - 7*a^4*z^4 - 3*a^6*z^4 + 68*a^8*z^4 - 
   43*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 6*a^6*z^6 + 45*a^8*z^6 - 
   19*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 15*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 25104] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 6*a^4*z^2 + 16*a^6*z^2 + 
   9*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   21*a^6*z^4 + 12*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   13*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 25105] -> -3*a^2 + 14*a^4 - 15*a^6 + 5*a^8 - 
   13*a^2*z^2 + 52*a^4*z^2 - 57*a^6*z^2 + 19*a^8*z^2 - 16*a^2*z^4 + 
   76*a^4*z^4 - 95*a^6*z^4 + 30*a^8*z^4 - 7*a^2*z^6 + 53*a^4*z^6 - 
   83*a^6*z^6 + 23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 40*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 25106] -> -1 + 3*a^2 + 3*a^4 - 7*a^6 + 3*a^8 - 4*z^2 + 
   9*a^2*z^2 + 9*a^4*z^2 - 24*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   3*a^4*z^4 - 31*a^6*z^4 + 12*a^8*z^4 - z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 
   20*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25107] -> 
  2/a^8 - 12/a^6 + 17/a^4 - 6/a^2 + (9*z^2)/a^8 - (44*z^2)/a^6 + 
   (65*z^2)/a^4 - (23*z^2)/a^2 + (12*z^4)/a^8 - (67*z^4)/a^6 + 
   (104*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (48*z^6)/a^6 + (88*z^6)/a^4 - 
   (24*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (41*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 25108] -> -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 
   7*z^2 + (5*z^2)/a^8 - (20*z^2)/a^6 + (20*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (23*z^4)/a^6 + (24*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25109] -> -2 + 9*a^2 - 8*a^4 + a^6 + a^8 - 7*z^2 + 
   25*a^2*z^2 - 21*a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 26*a^2*z^4 - 
   23*a^4*z^4 - 12*a^6*z^4 + 8*a^8*z^4 - z^6 + 12*a^2*z^6 - 15*a^4*z^6 - 
   13*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25110] -> 
  -4 - 5/a^4 + 10/a^2 - 12*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (29*z^2)/a^2 - 13*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 - (2*z^4)/a^4 + 
   (34*z^4)/a^2 - 6*z^6 + z^6/a^8 - (9*z^6)/a^6 + (7*z^6)/a^4 + 
   (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 25111] -> 4 - a^(-2) - 2*a^2 - a^6 + a^8 + 
   9*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 
   8*z^4 - z^4/a^2 - 6*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25112] -> 4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 
   10*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 10*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 25113] -> 
  9 - 4/a^2 - 4*a^2 + 26*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 - 
   12*a^2*z^2 + 33*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   13*a^2*z^4 + 21*z^6 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 
   7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 25114] -> 4 - 2/a^2 - a^4 + 10*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25115] -> 7 - 3/a^2 - 3*a^2 + 17*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 21*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 25116] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + 2*a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25117] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 3*z^2 + 6*a^2*z^2 + 7*a^4*z^2 - 15*a^6*z^2 + 
   6*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - a^4*z^4 - 19*a^6*z^4 + 8*a^8*z^4 - z^6 + 
   10*a^2*z^6 - 7*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25118] -> 
  2*a^2 - 2*a^6 + a^8 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25119] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   2*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25120] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 25121] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 - z^6/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25122] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25123] -> 9 - 3/a^2 - 7*a^2 + 2*a^4 + 26*z^2 - 
   (6*z^2)/a^2 - 30*a^2*z^2 + 11*a^4*z^2 + 43*z^4 - (8*z^4)/a^2 - 
   61*a^2*z^4 + 21*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 62*a^2*z^6 + 18*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 25124] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 9*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   17*a^2*z^2 + 7*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 23*a^2*z^4 + 
   9*a^4*z^4 - 4*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25125] -> 1 - 2/a^4 + 3/a^2 - a^2 + 20*z^2 + z^2/a^4 - 
   (9*z^2)/a^2 - 9*a^2*z^2 + 56*z^4 + (7*z^4)/a^4 - (35*z^4)/a^2 - 
   20*a^2*z^4 + 61*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 25126] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   14*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 22*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 25127] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + 8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 25128] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25129] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25130] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 25131] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25132] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 25133] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 11*z^2 + z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25134] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - (12*z^2)/a^8 + (26*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^4)/a^12 - (6*z^4)/a^10 - (4*z^4)/a^8 + (29*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + (4*z^6)/a^8 + (17*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 25135] -> 
  -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - a^(-2) + z^2/a^12 - (5*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + (7*z^4)/a^8 - (2*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 25136] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 24*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (27*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 31*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (28*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25137] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 
   6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 25138] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + z^2/a^10 - 
   (13*z^2)/a^8 + (25*z^2)/a^6 - (6*z^2)/a^4 + z^4/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 + (24*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25139] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 23*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (28*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 26*z^4 + 
   (2*z^4)/a^6 - (15*z^4)/a^4 + (33*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25140] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - (5*z^2)/a^8 + (17*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - 
   (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25141] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + 
   (9*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 25142] -> 
  -2/a^14 + 7/a^12 - 7/a^10 - 2/a^8 + 5/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (12*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (10*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 25143] -> 
  1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25144] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 4*z^4 + 10*a^2*z^4 - 11*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 10*a^2*z^6 - a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - 
   z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25145] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25146] -> 1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 + z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 8*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 25147] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25148] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25149] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2/a^2 - 
   2*a^4*z^2 + a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25150] -> 1 - a^2 + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25151] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25152] -> 1 - a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 
   11*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   22*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25153] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 2*z^2 + 
   13*a^2*z^2 - 25*a^4*z^2 + 23*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   15*a^2*z^4 - 31*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 25154] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 - 
   2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 25155] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 6*z^2 - z^2/a^8 - z^2/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 25156] -> a^(-2) - a^2 + a^4 - 8*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25157] -> 
  1 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25158] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 3*z^2 - z^2/a^4 + 3*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25159] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25160] -> 
  -1 + 4*a^2 - 2*a^4 - 8*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 25161] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 25162] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25163] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 23*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   15*a^2*z^4 - 30*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 25164] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 25165] -> 
  12 + 3/a^4 - 10/a^2 - 4*a^2 + 50*z^2 + (14*z^2)/a^4 - (47*z^2)/a^2 - 
   16*a^2*z^2 + 78*z^4 + (28*z^4)/a^4 - (87*z^4)/a^2 - 17*a^2*z^4 + 54*z^6 + 
   (23*z^6)/a^4 - (81*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - 
   (40*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25166] -> 6 + a^(-6) - a^(-4) - 3/a^2 - 2*a^2 + 
   19*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + 24*z^4 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 - (15*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (13*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 25167] -> 10 + 3/a^4 - 9/a^2 - 3*a^2 + 20*z^2 + 
   (9*z^2)/a^4 - (27*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + 
   (12*z^4)/a^4 - (31*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (6*z^6)/a^4 - (20*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25168] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 7*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25169] -> 6 - 2/a^6 + 9/a^4 - 12/a^2 + 17*z^2 - 
   (13*z^2)/a^6 + (45*z^2)/a^4 - (52*z^2)/a^2 + 17*z^4 - (28*z^4)/a^6 + 
   (86*z^4)/a^4 - (79*z^4)/a^2 + 7*z^6 - (23*z^6)/a^6 + (81*z^6)/a^4 - 
   (54*z^6)/a^2 + z^8 - (8*z^8)/a^6 + (40*z^8)/a^4 - (17*z^8)/a^2 - 
   z^10/a^6 + (10*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 25170] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 8*z^2 - 
   (8*z^2)/a^6 + (21*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (12*z^4)/a^6 + (29*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (6*z^6)/a^6 + (20*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25171] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2/a^10 + z^2/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (10*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25172] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 23*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 - 
   (8*z^4)/a^6 + (12*z^4)/a^4 + (16*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25173] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 25174] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - 
   8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^6 + (5*z^6)/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 25175] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 + 15*z^4 - (7*z^4)/a^2 - 8*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25176] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25177] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 23*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (22*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (29*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25178] -> 
  a^(-2) - a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 25179] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - 20*z^4 + (8*z^4)/a^2 + 5*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 
   15*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25180] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 7*z^2 + z^2/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 14*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + 6*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   2*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25181] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 
   5*a^8*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 9*a^6*z^4 + 3*a^8*z^4 - 2*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25182] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 25183] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 30*z^2 - (10*z^2)/a^2 - 27*a^2*z^2 + 8*a^4*z^2 + 
   62*z^4 - (20*z^4)/a^2 - 52*a^2*z^4 + 12*a^4*z^4 + 62*z^6 - (18*z^6)/a^2 - 
   42*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 
   9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 25184] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 16*z^2 - (6*z^2)/a^2 - 11*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 7*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25185] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - (6*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25186] -> a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 8*a^2*z^4 + 4*a^4*z^4 - 
   12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25187] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 - 2*a^4*z^2 + 
   17*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 7*a^4*z^4 + 22*a^6*z^4 - 
   8*a^8*z^4 - 7*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - 
   8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 25188] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 + a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 - 
   3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 25189] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   8*a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 + 
   5*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 25190] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   3*a^4*z^2 + a^8*z^2 - a^10*z^2 + a^12*z^2 - z^4 + a^4*z^4 - a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 25191] -> 3 + a^(-6) - 2/a^4 - a^2 - z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25192] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25193] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25194] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 25195] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25196] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 + 
   6*a^2*z^2 - 17*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 
   7*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 25197] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25198] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25199] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (17*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + 
   (17*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25200] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 7*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 28*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (2*z^4)/a^2 + 29*a^2*z^4 - 30*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25201] -> 
  2*a^2 - 2*a^6 + a^8 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 25202] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 + 2*a^2*z^2 - 
   5*a^4*z^2 + 18*a^6*z^2 - 15*a^8*z^2 + 5*a^10*z^2 + z^4 - 9*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 25203] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   3*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + 
   (6*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25204] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25205] -> -1 + 5*a^2 - 4*a^4 + a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25206] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25207] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 
   6*a^8*z^2 - 2*a^10*z^2 + 4*a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 5*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25208] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + z^4 - 4*a^4*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25209] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25210] -> 
  2*a^2 - a^4 - 2*z^2 + 4*a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 
   4*z^4 + 6*a^2*z^4 + 8*a^4*z^4 - 13*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 + 8*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25211] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   6*a^2*z^2 - 15*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 15*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 25212] -> a^2 + a^4 - a^6 + z^2 - a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 25213] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25214] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 4*z^4 + (8*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   8*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25215] -> 3 - a^(-2) - a^2 + 7*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25216] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (15*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - (18*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25217] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25218] -> -7 + 4/a^2 + 4*a^2 - 16*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 16*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25219] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 4*z^2 + (7*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (20*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (11*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25220] -> 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25221] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   6*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 7*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25222] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (11*z^2)/a^2 + a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (16*z^4)/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 25223] -> 1 - 3*z^2 + z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 10*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25224] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 8*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 8*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25225] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25226] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25227] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   20*z^2 - z^2/a^4 + (7*z^2)/a^2 + 27*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   28*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 30*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25228] -> 
  -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 25229] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 19*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   28*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 23*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   33*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25230] -> -2/a^14 + 9/a^12 - 15/a^10 + 8/a^8 + 
   a^(-6) - (7*z^2)/a^14 + (32*z^2)/a^12 - (48*z^2)/a^10 + (23*z^2)/a^8 + 
   (6*z^2)/a^6 - (5*z^4)/a^14 + (40*z^4)/a^12 - (62*z^4)/a^10 + 
   (16*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (43*z^6)/a^10 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 25231] -> 
  -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 4/a^6 - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (10*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (10*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25232] -> 3 - 11*a^2 + 16*a^4 - 7*a^6 + 16*z^2 - 
   51*a^2*z^2 + 57*a^4*z^2 - 17*a^6*z^2 + 29*z^4 - 91*a^2*z^4 + 80*a^4*z^4 - 
   17*a^6*z^4 + 23*z^6 - 82*a^2*z^6 + 54*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 
   40*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 25233] -> -2 + a^(-2) - a^2 + 7*a^4 - 
   4*a^6 - 7*z^2 + (5*z^2)/a^2 - 10*a^2*z^2 + 24*a^4*z^2 - 8*a^6*z^2 - 
   13*z^4 + (8*z^4)/a^2 - 17*a^2*z^4 + 26*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + 
   (5*z^6)/a^2 - 14*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25234] -> 
  -7 + 2/a^2 + 9*a^2 - 2*a^4 - a^6 - 25*z^2 + (9*z^2)/a^2 + 19*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - 31*z^4 + (12*z^4)/a^2 + 9*a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 20*z^6 + (6*z^6)/a^2 - 5*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25235] -> 3 + a^(-4) - 3/a^2 + a^4 - a^6 + 5*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + z^4 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - 4*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 25236] -> 6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 7*z^2 + 
   (8*z^2)/a^4 - (20*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + 
   (9*z^4)/a^4 - (22*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25237] -> 
  3 + a^(-6) - a^(-4) - 2/a^2 + a^2 - a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25238] -> -2/a^10 + 7/a^8 - 7/a^6 + 3/a^2 - 
   (6*z^2)/a^10 + (18*z^2)/a^8 - (11*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (8*z^4)/a^10 + (20*z^4)/a^8 - (3*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25239] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 3/a^4 + 
   2/a^2 + 2*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25240] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 3*z^2 - z^2/a^10 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (11*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25241] -> 1 + a^(-6) - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 25242] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 12*z^4 - (7*z^4)/a^4 + (18*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 25243] -> -5 + 3/a^2 + 3*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + a^6*z^2 + z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25244] -> 
  -a^(-4) + 2/a^2 + 18*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 - 8*a^2*z^2 + 
   47*z^4 + (15*z^4)/a^4 - (44*z^4)/a^2 - 12*a^2*z^4 + 41*z^6 + 
   (17*z^6)/a^4 - (55*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25245] -> 4 - a^(-2) - 3*a^2 + a^4 + 14*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 11*z^4 + 
   (8*z^4)/a^4 - (19*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25246] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 13*z^4 + (6*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 
   10*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + 
   z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 25247] -> 2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25248] -> a^(-2) - a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25249] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   14*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25250] -> 
  a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 
   10*z^4 + (5*z^4)/a^2 - a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25251] -> 
  -1 + a^(-2) + a^2 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25252] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 7*a^2*z^2 - 
   18*a^4*z^2 + 20*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 
   24*a^4*z^4 + 12*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 2*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25253] -> 1 - 2*a^2 + 3*a^4 - a^6 + a^8 - a^10 + 
   3*z^2 - 7*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25254] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 + z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 
   30*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 15*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25255] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 25256] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 7*a^2*z^2 - 
   17*a^4*z^2 + 19*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + z^4 + 5*a^2*z^4 - 
   20*a^4*z^4 + 13*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 11*a^4*z^6 + 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25257] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   26*z^2 + z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 
   31*z^4 + z^4/a^6 - (8*z^4)/a^4 + (24*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25258] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (16*z^2)/a^14 + 
   (5*z^2)/a^12 + (23*z^2)/a^10 - (6*z^4)/a^16 - (11*z^4)/a^14 + 
   (29*z^4)/a^12 + (34*z^4)/a^10 - (5*z^6)/a^16 + (4*z^6)/a^14 + 
   (33*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + (14*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 25259] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   z^2/a^16 - (6*z^2)/a^14 + (12*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - 
   (3*z^4)/a^14 + (12*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   (2*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 25260] -> 
  -a^(-18) + 4/a^16 - 3/a^14 - 7/a^12 + 8/a^10 - z^2/a^18 + (7*z^2)/a^16 - 
   (18*z^2)/a^14 - (4*z^2)/a^12 + (28*z^2)/a^10 - z^4/a^16 - (18*z^4)/a^14 + 
   (20*z^4)/a^12 + (38*z^4)/a^10 - (4*z^6)/a^16 - z^6/a^14 + (28*z^6)/a^12 + 
   (25*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (13*z^8)/a^12 + (8*z^8)/a^10 + 
   z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 25261] -> 
  -a^(-12) - 2/a^10 + 4/a^8 - (2*z^2)/a^16 - (2*z^2)/a^12 + (3*z^2)/a^10 + 
   (12*z^2)/a^8 - (3*z^4)/a^16 + (2*z^4)/a^14 + (5*z^4)/a^12 + 
   (12*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 25262] -> -a^(-14) + a^(-12) - a^(-10) + 
   2/a^6 - (2*z^2)/a^16 + (3*z^2)/a^12 + (4*z^2)/a^8 + (5*z^2)/a^6 - 
   z^4/a^16 + (2*z^4)/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^14 + (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 25263] -> a^(-8) - 2/a^6 + 2/a^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (5*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25264] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25265] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (11*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25266] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + 
   z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25267] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - z^2/a^10 + (5*z^2)/a^8 - (6*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25268] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (8*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25269] -> 
  6*a^4 - 8*a^6 + 3*a^8 - 3*z^2 + 6*a^2*z^2 + 11*a^4*z^2 - 24*a^6*z^2 + 
   10*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 3*a^4*z^4 - 31*a^6*z^4 + 12*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25270] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25271] -> 4*a^2 - 4*a^4 + a^8 + 3*z^2 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 10*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25272] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 25273] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 18*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (19*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (29*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25274] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 25275] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   19*z^2 - z^2/a^8 + (6*z^2)/a^6 - (18*z^2)/a^4 + (25*z^2)/a^2 + 5*a^2*z^2 - 
   25*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (32*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 25276] -> -4 + 10*a^2 - 5*a^4 - 14*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 25277] -> 
  4 - 2/a^2 - a^2 + a^4 - a^6 + 10*z^2 + z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 25278] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 25279] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25280] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25281] -> 1 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 11*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25282] -> a^(-6) - a^(-4) + a^2 - 8*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25283] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   a^4*z^2 - 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25284] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (33*z^2)/a^4 - 
   (11*z^2)/a^2 + (8*z^4)/a^8 - (42*z^4)/a^6 + (62*z^4)/a^4 - (21*z^4)/a^2 + 
   (5*z^6)/a^8 - (36*z^6)/a^6 + (62*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (33*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 25285] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (15*z^2)/a^4 - z^2/a^2 - 5*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (18*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (12*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25286] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 9*z^2 - z^2/a^6 + (10*z^2)/a^4 - 
   (19*z^2)/a^2 + 20*z^4 - (7*z^4)/a^6 + (35*z^4)/a^4 - (56*z^4)/a^2 + 
   18*z^6 - (5*z^6)/a^6 + (35*z^6)/a^4 - (61*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 25287] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (16*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (19*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25288] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - 
   (5*z^2)/a^2 + 8*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - 
   (16*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 - 
   (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 25289] -> 3 + a^(-6) - 3/a^2 + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25290] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   20*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (24*z^4)/a^4 + 
   (30*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 25291] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 
   6*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25292] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   21*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (25*z^2)/a^2 + 
   4*a^2*z^2 - 18*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (33*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25293] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - 
   (3*z^2)/a^14 + (15*z^2)/a^12 - (16*z^2)/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (12*z^4)/a^12 - (13*z^4)/a^10 - 
   (13*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25294] -> -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 25295] -> 3 - 8*a^2 + 8*a^4 - 2*a^8 + 
   10*z^2 - 24*a^2*z^2 + 14*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 12*z^4 - 
   31*a^2*z^4 + 4*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 6*z^6 - 20*a^2*z^6 - 
   6*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 25296] -> 
  -1 + a^(-2) - 2*a^2 + 5*a^4 - a^6 - a^8 - 2*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 
   8*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 25297] -> 
  -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 10*z^2 + (5*z^2)/a^2 + 9*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - 8*z^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 7*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 - 7*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 25298] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 25299] -> -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25300] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 25301] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   19*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (20*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + 
   (28*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (15*z^6)/a^4 + 
   (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 25302] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 
   2*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 25303] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   9*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   (8*z^4)/a^4 - (19*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25304] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 5*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 25305] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (19*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (27*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 25306] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 25307] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 10*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25308] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - 
   2*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25309] -> 1 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^4*z^2 + 
   a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25310] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25311] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 25312] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 21*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   27*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   32*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25313] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 11*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 + a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 25314] -> 6 - a^(-6) + 7/a^4 - 11/a^2 + 11*z^2 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (16*z^2)/a^4 - (31*z^2)/a^2 + 6*z^4 - 
   (10*z^4)/a^8 + (14*z^4)/a^6 + (20*z^4)/a^4 - (33*z^4)/a^2 + z^6 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 + (17*z^6)/a^4 - (14*z^6)/a^2 - z^8/a^8 + 
   (7*z^8)/a^6 + (7*z^8)/a^4 - (2*z^8)/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 25315] -> 3/a^4 - 4/a^2 + 2*a^2 - 5*z^2 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 25316] -> 
  -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 13*z^2 - (2*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 25317] -> 1 + a^(-6) - a^(-2) - 2*a^2 + 2*a^4 - z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 25318] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*z^4 + (7*z^4)/a^8 - (16*z^4)/a^6 + (6*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (14*z^6)/a^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25319] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25320] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (27*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 25321] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25322] -> -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + 
   2*a^4*z^2 + a^6*z^2 - a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 25323] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + z^2 - a^2*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 
   2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 25324] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25325] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25326] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 11*a^2*z^2 + 
   4*a^4*z^2 + 7*z^4 - (7*z^4)/a^4 + (13*z^4)/a^2 - 16*a^2*z^4 + 4*a^4*z^4 + 
   8*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 25327] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25328] -> 
  2*a^2 - a^4 - z^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^8*z^2 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25329] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25330] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25331] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 + 4*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 15*z^4 - (7*z^4)/a^2 - 
   8*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 25332] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 + 2*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25333] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   (11*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (11*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25334] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25335] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 25336] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^10 + (2*z^2)/a^8 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 25337] -> 3 - 5*a^2 + 4*a^4 - a^6 + 10*z^2 - 
   30*a^2*z^2 + 27*a^4*z^2 - 8*a^6*z^2 + 20*z^4 - 62*a^2*z^4 + 52*a^4*z^4 - 
   12*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 25338] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - 
   a^6 - z^2 + (2*z^2)/a^2 - 13*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + 
   (5*z^4)/a^2 - 15*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25339] -> 
  2 + 3/a^4 - 5/a^2 + a^2 - 2*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (11*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (8*z^4)/a^6 + (19*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25340] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 5*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 25341] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25342] -> a^(-4) - a^(-2) + a^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 25343] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25344] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25345] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25346] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 25347] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 9*z^2 - 
   27*a^2*z^2 + 25*a^4*z^2 - 7*a^6*z^2 + 16*z^4 - 50*a^2*z^4 + 41*a^4*z^4 - 
   9*a^6*z^4 + 14*z^6 - 49*a^2*z^6 + 33*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 25348] -> -8 + 4/a^2 + 7*a^2 - 3*a^4 + 
   a^6 - 25*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 28*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 24*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25349] -> 2 + 2/a^4 - 3/a^2 - a^4 + a^6 + z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 25350] -> -8 + 4/a^2 + 7*a^2 - 3*a^4 + a^6 - 26*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 32*z^4 - 
   (5*z^4)/a^4 + (23*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 25351] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (5*z^4)/a^4 - (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25352] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25353] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25354] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25355] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25356] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25357] -> -2 + 2/a^2 + a^4 + 10*z^2 - (2*z^2)/a^2 - 
   19*a^2*z^2 + 8*a^4*z^2 + 44*z^4 - (15*z^4)/a^2 - 47*a^2*z^4 + 12*a^4*z^4 + 
   55*z^6 - (17*z^6)/a^2 - 41*a^2*z^6 + 6*a^4*z^6 + 32*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 25358] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   8*z^2 - (3*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 12*z^4 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 18*a^2*z^4 + 4*a^4*z^4 + 10*z^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 25359] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 + 12*z^4 - (7*z^4)/a^2 + a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25360] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 4*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 - 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25361] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (14*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25362] -> 
  11 - 5/a^2 - 5*a^2 + 31*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - (7*z^2)/a^2 - 
   14*a^2*z^2 + 36*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - 
   14*a^2*z^4 + 22*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 
   7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 25363] -> 2*a^2 - a^4 - 4*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   7*a^2*z^4 + 5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25364] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 + 
   8*a^2*z^2 - 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 8*a^4*z^4 - 
   5*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25365] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + z^4/a^8 - z^4/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 25366] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25367] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 7*a^2*z^4 + 
   5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25368] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + z^2/a^2 + 
   14*a^2*z^2 - 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 10*a^4*z^4 - 
   6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25369] -> -4 - 3/a^4 + 7/a^2 + a^2 - 9*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 25370] -> 
  -2/a^6 + 3/a^4 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 + 
   (4*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - (4*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25371] -> 3 - a^(-2) - a^2 + 13*z^2 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 - 5*a^2*z^2 + 34*z^4 + (5*z^4)/a^4 - (24*z^4)/a^2 - 
   12*a^2*z^4 + 42*z^6 + (4*z^6)/a^4 - (26*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 25372] -> a^(-6) - 3/a^4 + 3/a^2 + 6*z^2 - 
   z^2/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 + 15*z^4 - (5*z^4)/a^6 + 
   (26*z^4)/a^4 - (41*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - 
   (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25373] -> 
  2 - a^(-2) + a^4 - a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 25374] -> 
  -1 - 2/a^4 + 4/a^2 + 7*z^2 - z^2/a^4 - 4*a^2*z^2 + 32*z^4 + (4*z^4)/a^4 - 
   (19*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + (4*z^6)/a^4 - (25*z^6)/a^2 - 
   13*a^2*z^6 + 26*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 25375] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 2*a^2*z^2 + 9*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 25376] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25377] -> -2/a^6 + 3/a^4 - (5*z^2)/a^6 + 
   (12*z^2)/a^4 - (4*z^2)/a^2 + (4*z^4)/a^8 - (20*z^4)/a^6 + (33*z^4)/a^4 - 
   (12*z^4)/a^2 + (4*z^6)/a^8 - (25*z^6)/a^6 + (42*z^6)/a^4 - (13*z^6)/a^2 + 
   z^8/a^8 - (12*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 25378] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + (4*z^2)/a^2 - 5*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25379] -> -2/a^6 + 3/a^4 - z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25380] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 19*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25381] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 7*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 25382] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25383] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 2*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 8*a^2*z^4 + 22*a^4*z^4 - 23*a^6*z^4 + 
   7*a^8*z^4 - 12*a^2*z^6 + 37*a^4*z^6 - 29*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 25384] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 25385] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 
   a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 4*z^4 + 6*a^2*z^4 - a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25386] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^4*z^2 + 
   a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 25387] -> 
  1 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25388] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25389] -> 
  1 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25390] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (3*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25391] -> 12 + 3/a^4 - 10/a^2 - 4*a^2 + 40*z^2 + 
   (12*z^2)/a^4 - (39*z^2)/a^2 - 12*a^2*z^2 + 59*z^4 + (21*z^4)/a^4 - 
   (67*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (63*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25392] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 9*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 - 4*a^2*z^2 + 
   15*z^4 + (7*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 25393] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   z^4/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25394] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   24*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 
   31*z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 25395] -> a^(-10) - 3/a^8 + 3/a^6 - 
   2/a^4 + 2/a^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 25396] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 - (4*z^2)/a^14 + (15*z^2)/a^12 - (17*z^2)/a^10 - z^2/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (27*z^4)/a^12 - (34*z^4)/a^10 - 
   (2*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (31*z^6)/a^10 - 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 25397] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (10*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (12*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 25398] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25399] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 4*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25400] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 - z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 
   5*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25401] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 - 6*z^4 + 17*a^2*z^4 - 9*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 
   4*z^6 + 12*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 25402] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 - z^2/a^6 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25403] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25404] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25405] -> 3 - 5*a^2 + 4*a^4 - a^6 + 6*z^2 - 
   18*a^2*z^2 + 15*a^4*z^2 - 4*a^6*z^2 + 12*z^4 - 38*a^2*z^4 + 32*a^4*z^4 - 
   8*a^6*z^4 + 13*z^6 - 43*a^2*z^6 + 31*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 25406] -> a^(-2) - a^2 + a^4 - 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 25407] -> a^2 + a^4 - a^6 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 
   2*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25408] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 25409] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 7*a^2*z^2 - 14*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 22*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25410] -> 
  10 + 3/a^4 - 9/a^2 - 3*a^2 + 38*z^2 + (11*z^2)/a^4 - (37*z^2)/a^2 - 
   12*a^2*z^2 + 59*z^4 + (21*z^4)/a^4 - (66*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25411] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 25412] -> -3/a^8 + 4/a^6 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (15*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (26*z^4)/a^12 - (34*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (31*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 25413] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25414] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25415] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (12*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (13*z^4)/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25416] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   14*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   23*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25417] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 25*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 23*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 33*z^4 - 
   (5*z^4)/a^4 + (22*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 25418] -> -1 - a^(-4) + 3/a^2 - a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25419] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25420] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25421] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25422] -> 
  a^2 + a^6 - a^8 + 4*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + z^4 + 
   3*a^2*z^4 - 14*a^4*z^4 + 11*a^6*z^4 - a^10*z^4 + z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25423] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + z^4/a^2 + 
   18*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 25424] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25425] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 - 20*a^2*z^2 + 15*a^4*z^2 - 4*a^6*z^2 + 13*z^4 - 
   41*a^2*z^4 + 33*a^4*z^4 - 8*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 31*a^4*z^6 - 
   5*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 
   8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 25426] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25427] -> 
  5 - 2/a^2 - 2*a^2 + 20*z^2 - (7*z^2)/a^2 - 15*a^2*z^2 + 4*a^4*z^2 + 
   41*z^4 - (13*z^4)/a^2 - 33*a^2*z^4 + 8*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 
   31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 25428] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   11*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25429] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - 
   (10*z^2)/a^2 + 7*z^4 - (10*z^4)/a^6 + (31*z^4)/a^4 - (27*z^4)/a^2 + 
   5*z^6 - (12*z^6)/a^6 + (39*z^6)/a^4 - (29*z^6)/a^2 + z^8 - (6*z^8)/a^6 + 
   (25*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 25430] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 - 3*z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25431] -> 
  3*a^4 - 2*a^6 + z^2 - 4*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 
   5*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 25432] -> 
  3*a^2 - 3*a^4 + a^6 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25433] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25434] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + (7*z^4)/a^8 - 
   (16*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (14*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25435] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 25436] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - 
   14*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 8*z^4 - 19*a^2*z^4 - 
   2*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 7*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 25437] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 25438] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + 7*a^4*z^2 - 10*a^6*z^2 + 8*a^8*z^2 - 
   2*a^10*z^2 + 2*a^2*z^4 - 10*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25439] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25440] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   4*z^4 + z^4/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25441] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 6*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25442] -> 
  a^(-2) - a^2 + a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25443] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - (15*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25444] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 + z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 24*z^4 - 
   (8*z^4)/a^2 - 27*a^2*z^4 + 8*a^4*z^4 + 37*z^6 - (12*z^6)/a^2 - 
   30*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 25445] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 - z^2/a^6 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25446] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25447] -> a^(-4) - a^(-2) + a^2 + 11*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 - 4*a^2*z^2 + 32*z^4 + (12*z^4)/a^4 - 
   (36*z^4)/a^2 - 8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - (43*z^6)/a^2 - 
   5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25448] -> 
  1 + 4*z^4 - 12*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 + 8*z^6 - 24*a^2*z^6 + 
   20*a^4*z^6 - 4*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 11*a^4*z^8 - a^6*z^8 + 
   z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 25449] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25450] -> 
  2*a^2 - a^4 - 8*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + 
   (5*z^4)/a^2 + 11*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 
   a^2*z^6 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 25451] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25452] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 + z^2/a^8 + z^2/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (8*z^4)/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25453] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + z^4/a^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25454] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + a^8*z^2 - 2*z^4 + 3*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 2*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25455] -> -3 + 2/a^2 + 2*a^2 + 6*z^2 - z^2/a^2 - 
   13*a^2*z^2 + 6*a^4*z^2 + 32*z^4 - (11*z^4)/a^2 - 35*a^2*z^4 + 9*a^4*z^4 + 
   42*z^6 - (13*z^6)/a^2 - 32*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 25456] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (3*z^2)/a^8 - 
   (8*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - 
   (14*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25457] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 6*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   28*z^4 + (8*z^4)/a^4 - (23*z^4)/a^2 - 8*a^2*z^4 + 30*z^6 + (12*z^6)/a^4 - 
   (37*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25458] -> 2 - 2*a^2 + a^4 + 4*z^2 - (3*z^2)/a^2 - 
   2*a^4*z^2 + 2*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25459] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25460] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   6*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 8*z^4 - 25*a^2*z^4 + 28*a^4*z^4 - 
   8*a^6*z^4 + 12*z^6 - 37*a^2*z^6 + 30*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   25*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 25461] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   5*z^2 + z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + 
   (4*z^4)/a^2 + a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   4*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25462] -> 
  1 - a^2 + 2*a^4 - a^6 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 5*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   6*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 25463] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + 
   a^2 - 10*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 
   14*z^4 - (4*z^4)/a^6 + (15*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25464] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   2*z^4 + z^4/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - 3*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25465] -> 1 - 2/a^4 + 3/a^2 - a^2 + 10*z^2 - z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 33*z^4 + (4*z^4)/a^4 - (19*z^4)/a^2 - 12*a^2*z^4 + 
   42*z^6 + (4*z^6)/a^4 - (25*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 25466] -> -a^(-6) + a^(-4) + a^(-2) + 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 9*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 25467] -> -2/a^14 + 7/a^12 - 7/a^10 - 2/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (12*z^2)/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - 
   (12*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25468] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + a^8*z^2 - 3*z^4 + 6*a^2*z^4 - 6*a^6*z^4 + 
   2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25469] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25470] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25471] -> 
  -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25472] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25473] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25474] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - z^4/a^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25475] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 25476] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 5*z^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + z^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25477] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25478] -> 2*a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25479] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + 
   (10*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - (16*z^4)/a^6 + 
   (9*z^4)/a^4 + z^4/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25480] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - 
   (12*z^2)/a^8 + (15*z^2)/a^6 - z^4/a^14 + (12*z^4)/a^12 - (9*z^4)/a^10 - 
   (18*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25481] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   19*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25482] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25483] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25484] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25485] -> 4 - 2/a^2 - a^4 + 17*z^2 - (6*z^2)/a^2 - 
   11*a^2*z^2 + 3*a^4*z^2 + 38*z^4 - (12*z^4)/a^2 - 31*a^2*z^4 + 8*a^4*z^4 + 
   43*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 25486] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 8*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25487] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25488] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 13*z^4 + 
   (5*z^4)/a^4 - (16*z^4)/a^2 - 4*a^2*z^4 + 20*z^6 + (8*z^6)/a^4 - 
   (25*z^6)/a^2 - 4*a^2*z^6 + 11*z^8 + (5*z^8)/a^4 - (19*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25489] -> 1 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   16*z^4 - (5*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 25*z^6 - (8*z^6)/a^2 - 
   20*a^2*z^6 + 4*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + a^4*z^8 + 
   7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 25490] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   13*z^4 + (2*z^4)/a^4 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25491] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25492] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25493] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 8*z^4 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 
   6*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 25494] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   9*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   (8*z^4)/a^4 - (19*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25495] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + 5*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 25496] -> 
  -1 + a^(-4) + a^4 - 8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25497] -> a^(-2) - a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25498] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 - z^2 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25499] -> 5*a^4 - 7*a^6 + 4*a^8 - a^10 + 8*a^4*z^2 - 
   14*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 2*a^2*z^4 + a^4*z^4 - 13*a^6*z^4 + 
   13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 25500] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 + 
   2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + z^4 - 4*a^4*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25501] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25502] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^4 - 
   4*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25503] -> 2 - a^2 - a^4 + a^6 - 5*z^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25504] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 25505] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25506] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25507] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25508] -> 1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25509] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25510] -> 
  -a^(-4) + 2/a^2 + 8*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 28*z^4 + (8*z^4)/a^4 - 
   (24*z^4)/a^2 - 8*a^2*z^4 + 30*z^6 + (12*z^6)/a^4 - (37*z^6)/a^2 - 
   5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25511] -> 
  1 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + z^4 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 25512] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   4*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (13*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (4*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25513] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - 
   (10*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25514] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - z^2/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 - (3*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25515] -> -2/a^4 + 3/a^2 + a^2 - a^4 - z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25516] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25517] -> 
  -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (6*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 25518] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (13*z^4)/a^6 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + (4*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 25519] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25520] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - 
   (12*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25521] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25522] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   6*z^4 + 16*a^2*z^4 - 10*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 
   12*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 25523] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 4*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 
   2*a^8*z^2 - 2*z^4 + a^2*z^4 + 6*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 
   6*a^2*z^6 + 4*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25524] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (4*z^4)/a^8 - 
   (10*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25525] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25526] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 25527] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + 3*a^2*z^2 - a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25528] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 + z^4/a^8 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25529] -> a^(-2) - a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 12*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (17*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25530] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25531] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 - 9*a^2*z^4 + 26*a^4*z^4 - 25*a^6*z^4 + 7*a^8*z^4 - 
   12*a^2*z^6 + 38*a^4*z^6 - 29*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 25532] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   4*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 9*a^4*z^4 - 
   11*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25533] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - 5*z^4 + 13*a^2*z^4 - 9*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25534] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 12*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25535] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 4*z^2 + 
   17*a^2*z^2 - 23*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 8*z^4 + 23*a^2*z^4 - 
   20*a^4*z^4 + 2*a^8*z^4 - 5*z^6 + 16*a^2*z^6 - 3*a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25536] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 7*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + a^8*z^2 + 7*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + a^2*z^6 + 
   2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25537] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   11*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 16*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 5*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 25538] -> a^(-6) - a^(-4) + a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25539] -> 
  -1 + a^(-2) + a^2 - 10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (17*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25540] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (10*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25541] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25542] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25543] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 
   2*a^4 + 5*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25544] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - 2*z^4 + (5*z^4)/a^8 - 
   (12*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25545] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 + 
   z^2/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (7*z^4)/a^10 - (4*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25546] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 - 
   (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 25547] -> -3/a^4 + 5/a^2 - a^2 - 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 - 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25548] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25549] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + z^4/a^2 + 4*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 - (7*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 25550] -> 3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25551] -> -3 + 9*a^2 - 6*a^4 + a^6 - 9*z^2 + z^2/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 + 2*a^4*z^4 - 
   4*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 8*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25552] -> 2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 25553] -> 
  1 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25554] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 5*z^2 + 
   16*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25555] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25556] -> a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (6*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25557] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25558] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 2*z^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 18*a^2*z^4 - 
   8*a^4*z^4 + 8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25559] -> 2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 
   5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25560] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + 11*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 8*a^4*z^4 - 
   5*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25561] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25562] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25563] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 
   3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 25564] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   3*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25565] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 25566] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   3*z^4 - z^4/a^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25567] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25568] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - a^6*z^2 + a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25569] -> a^(-2) - a^2 + a^4 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25570] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - 
   a^12 - 2*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 
   a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 - 3*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 25571] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - z^2 + 2*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - a^10*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 - 
   a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 25572] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (20*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   32*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25573] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 25574] -> 
  -1 + a^(-2) + a^2 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25575] -> a^(-2) - a^2 + a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25576] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 
   2*z^2 + 12*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 25577] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 25578] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (8*z^4)/a^4 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 25579] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[15, Alternating, 25580] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (20*z^2)/a^4 + (25*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (27*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 25581] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 25582] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 + (4*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 25583] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25584] -> 1 - 4*z^2 + (2*z^2)/a^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25585] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25586] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - (3*z^4)/a^2 + 11*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25587] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   3*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25588] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25589] -> 1 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25590] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   8*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25591] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25592] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25593] -> 5*a^2 - 7*a^4 + 3*a^6 - 4*z^2 + 13*a^2*z^2 - 
   11*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + 17*a^2*z^4 - 2*a^4*z^4 - 
   15*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 7*a^4*z^6 - 10*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25594] -> 2 - a^2 - a^6 + a^8 + z^2 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25595] -> -4 - 3/a^4 + 7/a^2 + a^2 + z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 13*z^4 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 25596] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 8*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25597] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25598] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25599] -> 1 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25600] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 25601] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 14*z^2 - (6*z^2)/a^6 + (11*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   18*z^4 - (9*z^4)/a^6 + (19*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25602] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 25603] -> 
  -2/a^6 + 3/a^4 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25604] -> -1 - 2/a^4 + 4/a^2 - z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25605] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 13*z^2 - 
   (5*z^2)/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 15*z^4 - (6*z^4)/a^2 - 
   11*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25606] -> a^(-12) - 2/a^10 + 2/a^4 + z^2/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25607] -> 
  -2/a^10 + 5/a^6 - 3/a^4 + a^(-2) - (7*z^2)/a^10 + (12*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (20*z^4)/a^8 + 
   z^4/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (7*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25608] -> -a^(-12) - a^(-10) + 4/a^8 - 2/a^6 + 
   a^(-2) - (3*z^2)/a^12 + (4*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - z^4/a^12 + (7*z^4)/a^10 + (5*z^4)/a^8 - 
   (12*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (9*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 25609] -> -a^(-2) + 5*a^2 - 3*a^4 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + (9*z^4)/a^4 - 
   (18*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25610] -> 
  4 - 2/a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 25611] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25612] -> 
  -a^(-12) + 2/a^8 - a^(-6) + a^(-2) + z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 25613] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 4*z^2 - 7*a^2*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + 
   8*z^4 - 16*a^2*z^4 - 4*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 
   14*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 25614] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 25615] -> 5 + a^(-4) - 4/a^2 - a^4 + 7*z^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + z^4 + (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25616] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 13*z^2 - (5*z^2)/a^2 - 5*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 15*z^4 - (6*z^4)/a^2 - 11*a^4*z^4 + 3*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25617] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25618] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25619] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25620] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 7*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25621] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 25622] -> a^(-10) - 2/a^8 + a^(-4) + 
   a^(-2) + z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25623] -> 
  -a^(-4) + 2/a^2 + z^2/a^8 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 25624] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 5*z^2 - z^2/a^2 - 9*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 - z^4 + 
   z^4/a^2 - 7*a^2*z^4 + 16*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 25625] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   11*z^4 - (5*z^4)/a^6 + (22*z^4)/a^4 - (29*z^4)/a^2 + 13*z^6 - 
   (4*z^6)/a^6 + (26*z^6)/a^4 - (41*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 25626] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 
   70*z^2 + (11*z^2)/a^4 - (50*z^2)/a^2 - 26*a^2*z^2 + 113*z^4 + 
   (13*z^4)/a^4 - (74*z^4)/a^2 - 37*a^2*z^4 + 93*z^6 + (6*z^6)/a^4 - 
   (50*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 
   10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 25627] -> 
  3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 8*z^2 + (4*z^2)/a^4 - (15*z^2)/a^2 + 
   17*a^2*z^2 - 10*a^4*z^2 + 14*z^4 + (4*z^4)/a^4 - (20*z^4)/a^2 + 
   26*a^2*z^4 - 12*a^4*z^4 + 13*z^6 + z^6/a^4 - (11*z^6)/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25628] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 33*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (12*z^2)/a^2 - 14*a^2*z^2 + 37*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 25629] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + z^2/a^6 - z^2/a^4 - 
   (8*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 13*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25630] -> -2 + 6*a^2 - 3*a^4 - 6*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 8*a^4*z^4 - 
   5*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25631] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   13*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25632] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 - 
   2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25633] -> 3 + a^(-6) - 2/a^4 - a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 25634] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 
   4*a^4*z^2 + 6*a^6*z^2 + 24*a^8*z^2 - 24*a^10*z^2 + 5*a^12*z^2 - 
   8*a^4*z^4 + 9*a^6*z^4 + 41*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 9*a^6*z^6 + 33*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 25635] -> a^4 + 3*a^8 - 4*a^10 + a^12 - 2*a^2*z^2 + 
   4*a^4*z^2 + a^6*z^2 + 12*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 5*a^6*z^4 + 14*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 25636] -> 1 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25637] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   3*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25638] -> 
  a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (7*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (14*z^4)/a^10 + 
   (12*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + 
   (10*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25639] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   z^2/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25640] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 10*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (20*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 - z^4/a^6 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25641] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - z^4 - z^4/a^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25642] -> 5 - 2/a^2 - 2*a^2 + 22*z^2 + (2*z^2)/a^4 - 
   (13*z^2)/a^2 - 9*a^2*z^2 + 46*z^4 + (5*z^4)/a^4 - (28*z^4)/a^2 - 
   16*a^2*z^4 + 48*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 25643] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 
   4/a^2 - 7*z^2 + z^2/a^8 - (5*z^2)/a^6 + (15*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (5*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25644] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 16*z^2 - 
   (4*z^2)/a^6 + (25*z^2)/a^4 - (39*z^2)/a^2 + 25*z^4 - (8*z^4)/a^6 + 
   (45*z^4)/a^4 - (74*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25645] -> 
  -5/a^6 + 9/a^4 - 3/a^2 + (4*z^2)/a^8 - (24*z^2)/a^6 + (41*z^2)/a^4 - 
   (15*z^2)/a^2 + (8*z^4)/a^8 - (45*z^4)/a^6 + (74*z^4)/a^4 - (25*z^4)/a^2 + 
   (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 25646] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - z^2/a^2 - 14*a^2*z^2 + 6*a^4*z^2 + 
   22*z^4 - (4*z^4)/a^2 - 36*a^2*z^4 + 13*a^4*z^4 + 25*z^6 - (4*z^6)/a^2 - 
   43*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 25647] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 
   6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25648] -> 3 - a^(-8) + 4/a^6 - 3/a^4 - 2/a^2 + 8*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 - (12*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - (20*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 25649] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 6*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (10*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25650] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25651] -> 2 - a^(-2) + a^2 - a^4 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25652] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^2 + 
   7*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 7*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25653] -> a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25654] -> -3 - a^(-4) + 4/a^2 + a^4 - 12*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25655] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25656] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 25657] -> 
  a^(-2) - a^2 + a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25658] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 6*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25659] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 + 
   2*a^8*z^2 - 8*z^4 + 20*a^2*z^4 - 11*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 
   5*z^6 + 15*a^2*z^6 + 2*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25660] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 + a^4*z^2 + 22*z^4 - (8*z^4)/a^2 - 23*a^2*z^4 + 
   7*a^4*z^4 + 37*z^6 - (12*z^6)/a^2 - 29*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - 
   (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 25661] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   11*z^2 - (6*z^2)/a^2 + 3*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 18*z^4 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 
   8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25662] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 12*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25663] -> 3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^4 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25664] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 25665] -> 
  14 + 3/a^4 - 11/a^2 - 5*a^2 + 58*z^2 + (19*z^2)/a^4 - (58*z^2)/a^2 - 
   17*a^2*z^2 + 84*z^4 + (33*z^4)/a^4 - (102*z^4)/a^2 - 17*a^2*z^4 + 55*z^6 + 
   (24*z^6)/a^4 - (88*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - 
   (41*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25666] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 14*z^2 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 - 6*a^2*z^2 + 22*z^4 + (11*z^4)/a^6 - 
   (23*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + (6*z^6)/a^6 - 
   (18*z^6)/a^4 - (11*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (7*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 25667] -> 
  9 + 3/a^4 - 9/a^2 - a^2 - a^4 + 15*z^2 + (11*z^2)/a^4 - (28*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (13*z^4)/a^4 - (33*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (6*z^6)/a^4 - (21*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25668] -> 3 + a^(-6) - 2/a^4 - a^2 + 8*z^2 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 25669] -> 
  4 + 3/a^4 - 7/a^2 + 3*a^2 - 2*a^4 + 3*z^2 + (9*z^2)/a^4 - (20*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (10*z^4)/a^4 - (24*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25670] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 7*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 25671] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + a^4*z^2 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 
   8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 25672] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 13*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25673] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 23*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (20*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (30*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25674] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 11*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (21*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (27*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 25675] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 22*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 27*z^4 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 + 24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25676] -> -6 + 3/a^2 + 5*a^2 - a^4 - 25*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 31*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 24*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25677] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25678] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - 
   3*z^2 + 13*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 27*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 25679] -> 
  1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 25680] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   2*z^2 + 13*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 15*a^2*z^4 - 31*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 25681] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 25*z^2 - z^2/a^4 + (10*z^2)/a^2 + 21*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 32*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25682] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 24*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25683] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 3*z^4 - 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25684] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25685] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25686] -> -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25687] -> -2 + 2/a^2 + a^4 - 12*z^2 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25688] -> 6 - 2/a^2 - 4*a^2 + a^4 + 10*z^2 - 
   (4*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 - z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25689] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25690] -> -2 + 2/a^2 + a^4 - 2*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 25691] -> 
  5 + 4/a^4 - 8/a^2 + 13*z^2 - (7*z^2)/a^6 + (27*z^2)/a^4 - (37*z^2)/a^2 + 
   13*z^4 - (20*z^4)/a^6 + (60*z^4)/a^4 - (59*z^4)/a^2 + 6*z^6 - 
   (18*z^6)/a^6 + (62*z^6)/a^4 - (43*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 25692] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 
   3*a^2 - 15*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   19*z^4 - (8*z^4)/a^6 + (14*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25693] -> 3 - 4*a^2 + 2*a^4 + 15*z^2 - (4*z^2)/a^2 - 
   20*a^2*z^2 + 7*a^4*z^2 + 37*z^4 - (12*z^4)/a^2 - 37*a^2*z^4 + 9*a^4*z^4 + 
   43*z^6 - (13*z^6)/a^2 - 32*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 25694] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 8*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 12*a^2*z^4 - 
   3*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 25695] -> 1 - z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 9*a^2*z^4 - 11*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25696] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25697] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - a^4*z^4 + a^6*z^4 + 2*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25698] -> 12 + 3/a^4 - 10/a^2 - 4*a^2 + 44*z^2 + 
   (16*z^2)/a^4 - (47*z^2)/a^2 - 12*a^2*z^2 + 63*z^4 + (25*z^4)/a^4 - 
   (79*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + (19*z^6)/a^4 - (69*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25699] -> 
  7 + 3/a^4 - 8/a^2 - a^4 + 12*z^2 + (9*z^2)/a^4 - (23*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 + (10*z^4)/a^4 - (27*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25700] -> 5 + a^(-6) - 4/a^2 - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25701] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 34*z^2 - (12*z^2)/a^2 - 29*a^2*z^2 + 8*a^4*z^2 + 
   66*z^4 - (21*z^4)/a^2 - 53*a^2*z^4 + 12*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 
   42*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 
   9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 25702] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 16*z^2 - (3*z^2)/a^4 - 18*a^2*z^2 + 5*a^4*z^2 + 
   17*z^4 - (5*z^4)/a^4 + (7*z^4)/a^2 - 19*a^2*z^4 + 4*a^4*z^4 + 11*z^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 25703] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   23*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 + 28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25704] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   4*z^2 + (5*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (8*z^4)/a^8 - (16*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25705] -> -a^(-10) + 5/a^8 - 8/a^6 + 4/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (17*z^2)/a^8 - (17*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   (8*z^4)/a^10 + (22*z^4)/a^8 - (12*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25706] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 11*z^2 + 
   (2*z^2)/a^2 + 23*a^2*z^2 - 22*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 21*z^4 + 
   (5*z^4)/a^2 + 33*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 
   19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25707] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 17*z^2 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   23*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (28*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25708] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25709] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25710] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + 
   z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25711] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 25712] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 11*a^4*z^2 + 25*a^6*z^2 - 
   19*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 23*a^4*z^4 + 32*a^6*z^4 - 
   19*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 18*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 25713] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 28*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 10*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25714] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 25715] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 10*z^2 - (5*z^2)/a^2 + a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 + 17*z^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25716] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 8*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25717] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 9*z^2 + 
   z^2/a^2 + 23*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (2*z^4)/a^2 + 31*a^2*z^4 - 27*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25718] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 15*a^2*z^2 - 5*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 - 9*z^4 + 20*a^2*z^4 + 2*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 
   5*z^6 + 15*a^2*z^6 + 8*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25719] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 9*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 
   15*z^4 - z^4/a^8 + (10*z^4)/a^6 - (27*z^4)/a^4 + (28*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25720] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^10 + (15*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25721] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25722] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25723] -> 
  a^(-2) - a^2 + a^4 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25724] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25725] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + z^2/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 25726] -> -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 25727] -> 
  2 - a^2 - a^4 + a^6 + z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 
   10*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 25728] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 
   13*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 25729] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   z^4/a^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25730] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25731] -> 
  2*a^2 - 2*a^6 + a^8 - 2*z^2 + 4*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 - a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - z^6 + 3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 25732] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   3*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 25733] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25734] -> -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25735] -> a^(-8) - 2/a^6 + 2/a^2 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   (8*z^4)/a^10 + (17*z^4)/a^8 + z^4/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25736] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25737] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25738] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 - z^2/a^10 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (4*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 25739] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25740] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (6*z^2)/a^10 + (18*z^2)/a^8 - 
   (15*z^2)/a^6 + (4*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - (11*z^4)/a^6 - 
   (10*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 25741] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (8*z^2)/a^2 + a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (16*z^4)/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25742] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25743] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25744] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   4*a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 
   15*a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25745] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 - a^10*z^4 + 
   z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 25746] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 + 7*z^2 - (4*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 12*z^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25747] -> 
  a^2 + a^8 - a^10 + 4*a^2*z^2 - 4*a^4*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 
   5*a^2*z^4 - 11*a^4*z^4 - 3*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 5*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25748] -> 3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 - z^2/a^4 - 
   z^2/a^2 - 4*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^4 + z^4/a^2 - 3*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 25749] -> a^2 + a^4 - 2*a^6 + 2*a^8 - 
   a^10 + z^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + z^4 - 
   a^2*z^4 - 5*a^4*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25750] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + z^2/a^4 - z^2/a^2 + 
   13*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 25751] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 16*a^2*z^2 - 12*a^4*z^2 + 
   4*a^6*z^2 + a^8*z^2 - 8*z^4 + 21*a^2*z^4 - 9*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 2*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25752] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25753] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 + 
   (4*z^2)/a^2 + 22*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 18*z^4 + 
   (3*z^4)/a^2 + 30*a^2*z^4 - 24*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25754] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 32*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 
   26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25755] -> 1 + 2*z^2 + z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25756] -> 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25757] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 - (7*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 - 
   z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25758] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 6*z^2 + 22*a^2*z^2 - 29*a^4*z^2 + 
   15*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + z^4/a^2 + 31*a^2*z^4 - 31*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 20*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25759] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 25760] -> 
  4 - a^(-4) - 2*a^2 + 6*z^2 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25761] -> 
  3*a^6 - 3*a^10 + a^12 - a^4*z^2 + 10*a^6*z^2 + 2*a^8*z^2 - 7*a^10*z^2 + 
   2*a^12*z^2 - 4*a^4*z^4 + 13*a^6*z^4 + 4*a^8*z^4 - 10*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 5*a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 25762] -> -1 - 2/a^4 + 4/a^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25763] -> 5*a^6 - 5*a^8 + a^10 + 11*a^6*z^2 - 
   6*a^8*z^2 - a^10*z^2 + a^12*z^2 - a^2*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - 
   3*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 25764] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25765] -> 
  -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25766] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - a^2*z^4 - 
   11*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 25767] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 - a^4*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 
   4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 18*a^6*z^4 - 13*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 25768] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 25769] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 25770] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   15*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 25771] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   9*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 25772] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   2*z^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25773] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 25774] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25775] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   (5*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   (8*z^4)/a^8 - (20*z^4)/a^6 + (5*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25776] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (14*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25777] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + (5*z^4)/a^4 - (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25778] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (6*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - z^4/a^14 + (11*z^4)/a^12 - 
   (9*z^4)/a^10 - (17*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 25779] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (8*z^4)/a^6 + (14*z^4)/a^4 + (7*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25780] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - 
   (6*z^2)/a^6 + (15*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (9*z^4)/a^6 + (22*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25781] -> 14 + 3/a^4 - 11/a^2 - 5*a^2 + 46*z^2 + 
   (15*z^2)/a^4 - (46*z^2)/a^2 - 13*a^2*z^2 + 64*z^4 + (25*z^4)/a^4 - 
   (78*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + (19*z^6)/a^4 - (69*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25782] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25783] -> 3 - 8*a^2 + 10*a^4 - 4*a^6 + 9*z^2 - 
   28*a^2*z^2 + 29*a^4*z^2 - 8*a^6*z^2 + 16*z^4 - 50*a^2*z^4 + 42*a^4*z^4 - 
   9*a^6*z^4 + 14*z^6 - 49*a^2*z^6 + 33*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 25784] -> 9 + 3/a^4 - 9/a^2 - a^2 - a^4 + 
   15*z^2 + (9*z^2)/a^4 - (24*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + 
   (10*z^4)/a^4 - (27*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25785] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 25786] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 13*a^4*z^2 - 29*a^6*z^2 + 32*a^8*z^2 - 
   10*a^10*z^2 + 22*a^4*z^4 - 63*a^6*z^4 + 55*a^8*z^4 - 12*a^10*z^4 + 
   18*a^4*z^6 - 63*a^6*z^6 + 42*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 
   33*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 25787] -> 4*a^4 - 7*a^6 + 7*a^8 - 3*a^10 + 
   2*a^2*z^2 + 5*a^4*z^2 - 15*a^6*z^2 + 18*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 
   5*a^4*z^4 - 16*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   11*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25788] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 8*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 + 
   a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 24*a^4*z^4 + 7*a^6*z^4 + 9*a^8*z^4 - 
   3*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 3*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25789] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + 
   a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   10*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25790] -> a^2 - a^4 + 2*a^6 - a^10 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 
   4*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25791] -> 
  a^2 + a^8 - a^10 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25792] -> 
  2 + a^(-4) - 2/a^2 - z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25793] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (8*z^4)/a^6 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (4*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25794] -> 
  4 - 6*a^2 + 3*a^4 + 9*z^2 - (3*z^2)/a^2 - 10*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 25795] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25796] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25797] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25798] -> 
  -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - (5*z^2)/a^14 + (22*z^2)/a^12 - 
   (26*z^2)/a^10 + (2*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (29*z^4)/a^12 - (39*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (32*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 25799] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   (2*z^2)/a^14 + (10*z^2)/a^12 - (11*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (13*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25800] -> a^(-4) - a^(-2) + a^2 - 7*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25801] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 
   11*a^8*z^2 - 5*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 3*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25802] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + z^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25803] -> 
  3 + 2/a^4 - 4/a^2 + z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25804] -> 4 + a^(-4) - 3/a^2 - a^2 + 19*z^2 + 
   (4*z^2)/a^4 - (16*z^2)/a^2 - 7*a^2*z^2 + 37*z^4 + (12*z^4)/a^4 - 
   (37*z^4)/a^2 - 9*a^2*z^4 + 32*z^6 + (13*z^6)/a^4 - (43*z^6)/a^2 - 
   5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 25805] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 13*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 - 20*z^4 + (8*z^4)/a^2 + 5*a^2*z^4 + 10*a^4*z^4 - 
   3*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25806] -> 5 - 8*a^2 + 4*a^4 + 28*z^2 - (8*z^2)/a^2 - 
   36*a^2*z^2 + 12*a^4*z^2 + 61*z^4 - (20*z^4)/a^2 - 58*a^2*z^4 + 
   13*a^4*z^4 + 62*z^6 - (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - 
   (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 25807] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + 8*z^2 - 
   28*a^2*z^2 + 36*a^4*z^2 - 12*a^6*z^2 + 20*z^4 - 61*a^2*z^4 + 58*a^4*z^4 - 
   13*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 25808] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 - 
   z^2/a^6 + (8*z^2)/a^4 - (15*z^2)/a^2 + 8*z^4 - (9*z^4)/a^6 + 
   (27*z^4)/a^4 - (31*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + (38*z^6)/a^4 - 
   (30*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (25*z^8)/a^4 - (13*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 25809] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25810] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 8*z^2 - 
   (4*z^2)/a^2 - 3*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + 16*z^4 - (8*z^4)/a^2 + 
   3*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 25811] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 
   2*a^6 - 10*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   16*z^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + 
   (5*z^6)/a^2 - 8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25812] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25813] -> -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 - 
   z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25814] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 7*z^2 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25815] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   7*z^2 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   11*z^4 - (2*z^4)/a^4 + a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 
   z^6/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 25816] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   3*z^2 + (6*z^2)/a^8 - (8*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   (9*z^4)/a^8 - (17*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25817] -> -2/a^10 + a^(-8) + 3/a^6 - 2/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (10*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (15*z^4)/a^8 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25818] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 5*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25819] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25820] -> 
  3 - 3/a^2 + 6*a^2 - 6*a^4 + a^6 + 14*z^2 - (9*z^2)/a^2 + 12*a^2*z^2 - 
   14*a^4*z^2 + 3*a^6*z^2 + 22*z^4 - (10*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25821] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 12*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25822] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25823] -> 
  -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 5*z^2 + (7*z^2)/a^8 - (14*z^2)/a^6 - 
   z^2/a^4 + (15*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - (20*z^4)/a^6 - 
   (7*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25824] -> 
  -a^(-14) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + (6*z^2)/a^12 + 
   (4*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - z^4/a^10 - (11*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 25825] -> 
  -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 25826] -> 
  5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + (6*z^2)/a^4 - (15*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 - z^4 + (7*z^4)/a^4 - (17*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25827] -> -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 
   7*z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + (3*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (18*z^4)/a^6 + (7*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25828] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 25829] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 25830] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2/a^10 - (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6 - (2*z^6)/a^8 + 
   (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 25831] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + z^4/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 + z^6/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 25832] -> 
  1 + 2/a^6 - 6/a^4 + 5/a^2 - a^2 + 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 25833] -> a^(-8) - 2/a^6 + 2/a^2 - z^2 + z^2/a^10 - 
   (5*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 25834] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 57*z^2 + (9*z^2)/a^4 - (41*z^2)/a^2 - 
   21*a^2*z^2 + 89*z^4 + (10*z^4)/a^4 - (58*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 25835] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 - 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 25836] -> 
  -2 + 7*a^2 - 3*a^4 - 3*a^6 + 2*a^8 - 5*z^2 + 16*a^2*z^2 - 5*a^4*z^2 - 
   13*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 8*a^4*z^4 - 20*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25837] -> 2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 
   11*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 25838] -> 
  3 - a^(-2) - a^4 - a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   10*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25839] -> 4 - 2/a^2 - a^4 + 9*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 11*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25840] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 25841] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + 4*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25842] -> -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 
   6*a^2*z^4 + 5*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25843] -> -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 12*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 25844] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   6*a^4*z^2 + 18*a^6*z^2 + 3*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   7*a^4*z^4 + 22*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 14*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 25845] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + 
   a^6 - 21*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 25*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 25*z^4 - z^4/a^4 + (10*z^4)/a^2 + 30*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25846] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 25847] -> 
  2*a^2 - a^4 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25848] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 2*a^6*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 25849] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   11*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25850] -> 3*a^4 - 2*a^6 - 2*z^2 - 2*a^2*z^2 + 
   14*a^4*z^2 - 7*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 22*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25851] -> 2/a^8 - 11/a^6 + 15/a^4 - 5/a^2 + 
   (7*z^2)/a^8 - (37*z^2)/a^6 + (56*z^2)/a^4 - (20*z^2)/a^2 + (9*z^4)/a^8 - 
   (54*z^4)/a^6 + (88*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 25852] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   8*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + (13*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + (13*z^4)/a^4 + (21*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25853] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2/a^2 - 
   a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 25854] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 9*z^2 + z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25855] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - a^2*z^2 + 
   6*a^6*z^2 + 12*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   10*a^6*z^4 + 17*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   9*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 25856] -> 10 - 3/a^2 - 9*a^2 + 3*a^4 + 34*z^2 - 
   (8*z^2)/a^2 - 41*a^2*z^2 + 15*a^4*z^2 + 51*z^4 - (9*z^4)/a^2 - 
   74*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 25857] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + (4*z^2)/a^8 - (22*z^2)/a^6 + (36*z^2)/a^4 - 
   (13*z^2)/a^2 + (8*z^4)/a^8 - (44*z^4)/a^6 + (70*z^4)/a^4 - (24*z^4)/a^2 + 
   (5*z^6)/a^8 - (37*z^6)/a^6 + (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 25858] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (12*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25859] -> 
  a^(-12) - 5/a^10 + 3/a^8 + 3/a^6 - a^(-4) + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (16*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + 
   (21*z^4)/a^8 + (14*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + 
   (13*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 25860] -> -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 
   6*a^4*z^2 + 14*a^6*z^2 + 14*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   7*a^4*z^4 + 20*a^6*z^4 + 18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 14*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 25861] -> -1 + 2*a^2 + 5*a^4 - 8*a^6 + 
   3*a^8 - 3*z^2 + 5*a^2*z^2 + 13*a^4*z^2 - 22*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 
   10*a^2*z^4 + 7*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25862] -> 
  -3 - 4/a^4 + 8/a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (22*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 25863] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   15*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 25864] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 - 2*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 19*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25865] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 6*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (9*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 25866] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 + z^2/a^8 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 25867] -> 
  -5/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (14*z^4)/a^10 + (9*z^4)/a^8 + 
   (25*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (10*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 25868] -> 
  a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) - 2*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (25*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (27*z^4)/a^6 - (28*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 25869] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25870] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 19*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 21*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25871] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25872] -> 
  -a^(-10) + 3/a^4 - a^(-2) + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + 
   (7*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - 
   z^4/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 25873] -> -a^(-8) + 2/a^4 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25874] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 25875] -> 
  1 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   18*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25876] -> 
  a^(-4) - a^(-2) + a^2 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25877] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 12*a^2*z^4 - 
   10*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 25878] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 25879] -> -1 + a^(-2) + a^2 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25880] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25881] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (22*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (28*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 25882] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 11*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 
   23*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 
   26*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25883] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 25884] -> 3 - a^(-2) - a^2 + 6*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   5*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 25885] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 3*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - 9*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25886] -> -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 + z^2/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25887] -> -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 25888] -> 
  4 + 3/a^4 - 7/a^2 + 3*a^2 - 2*a^4 + (6*z^2)/a^4 - (13*z^2)/a^2 + 
   8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 25889] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 25890] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 25891] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 25892] -> -4 + a^(-4) + a^(-2) + 4*a^2 - 2*a^4 + a^6 - 
   7*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 3*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 25893] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 21*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   26*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25894] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 25895] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 9*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 25896] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 22*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 29*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 
   25*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 25897] -> 1 + z^2/a^6 - z^2/a^4 - a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 25898] -> 2*a^2 - a^4 - 4*z^2 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 + 
   2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 25899] -> -1 + a^(-2) + a^2 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 25900] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25901] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 25902] -> 4 - 6*a^2 + 3*a^4 + 25*z^2 - (7*z^2)/a^2 - 
   32*a^2*z^2 + 11*a^4*z^2 + 58*z^4 - (19*z^4)/a^2 - 56*a^2*z^4 + 
   13*a^4*z^4 + 61*z^6 - (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - 
   (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 25903] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 9*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25904] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 + 6*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + 15*z^4 - (8*z^4)/a^2 + 
   3*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 25905] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 15*z^2 + z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 25906] -> 
  10 + 3/a^4 - 9/a^2 - 3*a^2 + 42*z^2 + (15*z^2)/a^4 - (45*z^2)/a^2 - 
   12*a^2*z^2 + 63*z^4 + (25*z^4)/a^4 - (78*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + 
   (19*z^6)/a^4 - (69*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 25907] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 14*z^2 + 
   (9*z^2)/a^4 - (24*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + 
   (10*z^4)/a^4 - (27*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25908] -> 
  5 + a^(-6) - 4/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 25909] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 39*z^2 - 
   (13*z^2)/a^2 - 37*a^2*z^2 + 11*a^4*z^2 + 74*z^4 - (24*z^4)/a^2 - 
   61*a^2*z^4 + 13*a^4*z^4 + 68*z^6 - (19*z^6)/a^2 - 44*a^2*z^6 + 6*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 25910] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + (6*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - (19*z^4)/a^6 - (8*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25911] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + (3*z^2)/a^8 - z^2/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25912] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - 4*z^2 - 
   (6*z^2)/a^6 + (16*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (9*z^4)/a^6 + (22*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25913] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 
   10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25914] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 15*a^2*z^2 - 24*a^4*z^2 + 
   19*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 6*z^4 + 23*a^2*z^4 - 33*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 25915] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 13*z^2 - (6*z^2)/a^2 - 2*a^2*z^2 - 
   11*a^4*z^2 + 5*a^6*z^2 + 19*z^4 - (9*z^4)/a^2 + 5*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 25916] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 12*a^2*z^2 - 
   a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + 17*a^2*z^4 + 4*a^4*z^4 - 
   16*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 10*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 25917] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - z^2/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - (2*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 25918] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (8*z^4)/a^6 + (15*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25919] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25920] -> 
  2/a^4 - 2/a^2 + a^4 - 5*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 3*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 25921] -> 
  3 + 2/a^4 - 4/a^2 + z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 25922] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25923] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25924] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 22*z^2 - z^2/a^4 + (8*z^2)/a^2 + 23*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 25*z^4 - z^4/a^4 + (8*z^4)/a^2 + 30*a^2*z^4 - 
   17*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25925] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 
   11*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 25926] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 
   z^2 + 2*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   2*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 25927] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 
   3*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 25928] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (6*z^2)/a^8 - (16*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + 
   (9*z^4)/a^8 - (23*z^4)/a^6 + (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25929] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25930] -> -3 - a^(-8) + 5/a^6 - 7/a^4 + 5/a^2 + 
   2*a^2 - 13*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (26*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 25931] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + 
   3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 25932] -> -1 + a^(-2) + a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25933] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   z^2/a^4 + 11*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 25934] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 16*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (20*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (27*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25935] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (13*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (17*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25936] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + (2*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25937] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 17*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 25*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 25938] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25939] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25940] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 
   14*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 25941] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 
   4*z^2 + z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 25942] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25943] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 4*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^2 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 25944] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 15*a^6*z^2 - 
   13*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 17*a^6*z^4 - 
   13*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 - 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 25945] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + a^2*z^2 + 
   a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 25946] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 25947] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 - z^2/a^10 + (10*z^2)/a^6 - (17*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - (16*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25948] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25949] -> 1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 25950] -> 
  2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   5*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 25951] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25952] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 2*a^2*z^2 + 3*a^4*z^2 - 9*a^6*z^2 + 
   14*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 9*a^6*z^4 + 14*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 25953] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 25954] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + 2*z^4 - a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 25955] -> 
  4 - 2/a^2 - a^4 + 5*z^2 + (4*z^2)/a^4 - (10*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 - 2*z^4 + (8*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   8*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25956] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 25957] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 + z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25958] -> 2 + a^(-6) - a^(-4) - a^(-2) + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 25959] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 25960] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 25961] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 4*a^4*z^2 - a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 25962] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 25963] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 25964] -> 3 + a^(-6) - a^(-4) - 2/a^2 + a^2 - a^4 + 
   z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   8*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 25965] -> 
  -2 + a^(-4) + 2*a^2 - 13*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 25966] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   9*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 25967] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (9*z^4)/a^10 - (18*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 25968] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - (21*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (27*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 25969] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25970] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25971] -> 
  3 - 10*a^2 + 14*a^4 - 6*a^6 + 13*z^2 - 43*a^2*z^2 + 49*a^4*z^2 - 
   15*a^6*z^2 + 24*z^4 - 75*a^2*z^4 + 67*a^4*z^4 - 14*a^6*z^4 + 19*z^6 - 
   68*a^2*z^6 + 45*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 25972] -> -2 + a^(-2) + 5*a^4 - 3*a^6 - 11*z^2 + 
   (5*z^2)/a^2 + 15*a^4*z^2 - 6*a^6*z^2 - 18*z^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 
   19*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 10*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25973] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25974] -> -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (11*z^2)/a^12 - (12*z^2)/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - 
   (7*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25975] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 7*z^2 - 
   25*a^2*z^2 + 32*a^4*z^2 - 11*a^6*z^2 + 19*z^4 - 58*a^2*z^4 + 56*a^4*z^4 - 
   13*a^6*z^4 + 18*z^6 - 61*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 25976] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   4*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 12*z^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 25977] -> 
  a^2 - a^4 + 4*a^8 - 3*a^10 + 4*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 
   17*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 9*a^4*z^4 - 12*a^6*z^4 + 
   20*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 11*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25978] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (13*z^2)/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (15*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 25979] -> -6 + 2/a^2 + 7*a^2 - a^4 - a^6 - 20*z^2 + 
   (7*z^2)/a^2 + 15*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 24*z^4 + (9*z^4)/a^2 + 
   8*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 25980] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + 
   a^2 + a^4 - 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 25981] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 11*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 + 9*a^4*z^2 - 
   5*a^6*z^2 - 16*z^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 25982] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   z^2/a^4 + 10*a^2*z^2 - 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 25983] -> 2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - a^10 + 
   7*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 
   20*a^4*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 
   8*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 25984] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 7*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   23*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 
   29*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 25985] -> -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   9*z^2 + z^2/a^4 + z^2/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 7*z^4 + z^4/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 25986] -> 1 - 2*a^2 + 2*a^4 + a^6 - a^10 + 3*z^2 - 
   4*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   4*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 25987] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 25988] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (6*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25989] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (3*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 25990] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 11*z^2 - z^2/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 - (3*z^4)/a^6 + (18*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (2*z^6)/a^6 + (13*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 25991] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4 - z^4/a^8 - z^4/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + 
   z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2, Knot[15, Alternating, 25992] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 25993] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 25994] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 25995] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 25996] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 4*z^2 - z^2/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 25997] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 11*z^2 - 
   z^2/a^4 - (4*z^2)/a^2 - 7*a^4*z^2 + 2*a^6*z^2 + 14*z^4 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 10*z^6 - z^6/a^4 + 
   z^6/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 25998] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 25999] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26000] -> 1 - z^2 - z^2/a^8 + (2*z^2)/a^4 - z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26001] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26002] -> 3 - a^(-4) - a^4 + 8*z^2 - (2*z^2)/a^4 + 
   a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 12*z^4 - (2*z^4)/a^4 + 3*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + z^6/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + 
   3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 26003] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26004] -> 
  -2/a^6 + 3/a^4 - 6*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26005] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26006] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + 
   (4*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 26007] -> a^(-16) - 2/a^14 - 3/a^12 + 
   4/a^10 + a^(-8) - (8*z^2)/a^14 - (2*z^2)/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (12*z^4)/a^12 + 
   (29*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (14*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 26008] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (4*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26009] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26010] -> 
  8 - 4/a^2 - a^2 - 3*a^4 + a^6 + 18*z^2 - (8*z^2)/a^2 - 9*a^4*z^2 + 
   3*a^6*z^2 + 19*z^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   12*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 26011] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 - (12*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^6 - z^6/a^4 - (10*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 26012] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - (5*z^2)/a^14 - (4*z^2)/a^12 + 
   (14*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (5*z^4)/a^14 + (9*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (11*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 26013] -> -a^(-14) + a^(-12) - 2/a^10 + 
   2/a^8 + a^(-6) - z^2/a^16 - (2*z^2)/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + (5*z^4)/a^12 + (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 26014] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + (2*z^2)/a^16 - (16*z^2)/a^14 + 
   (3*z^2)/a^12 + (23*z^2)/a^10 + z^2/a^8 - (2*z^4)/a^16 - (12*z^4)/a^14 + 
   (19*z^4)/a^12 + (33*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 26015] -> a^(-16) - 2/a^14 - 2/a^12 + 
   2/a^10 + 2/a^8 - (6*z^2)/a^14 - (2*z^2)/a^12 + (12*z^2)/a^10 + 
   (8*z^2)/a^8 - z^4/a^16 - (3*z^4)/a^14 + (6*z^4)/a^12 + (18*z^4)/a^10 + 
   (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (5*z^6)/a^12 + (8*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 26016] -> 
  1 - 2/a^2 + 6*a^2 - 4*a^4 + 4*z^2 + z^2/a^4 - (7*z^2)/a^2 + 17*a^2*z^2 - 
   9*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26017] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 7*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26018] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   3*z^2 - z^2/a^10 + (9*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26019] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 26020] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26021] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26022] -> a^4 + 2*a^6 - 2*a^8 + 4*z^2 - 6*a^2*z^2 + 
   a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 4*z^4 + (2*z^4)/a^2 - 13*a^2*z^4 - 
   4*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 11*a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 26023] -> 2*a^4 - a^8 - z^2 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 4*z^6 - z^6/a^2 - 
   5*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 26024] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 26025] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26026] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   12*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 
   16*z^4 + z^4/a^6 - (7*z^4)/a^4 + (14*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 26027] -> 
  -a^2 + 8*a^4 - 9*a^6 + 3*a^8 - 2*z^2 + 2*a^2*z^2 + 15*a^4*z^2 - 
   22*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 7*a^4*z^4 - 25*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 26028] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26029] -> -1 + 6*a^2 - 5*a^4 + a^8 - z^2 - z^2/a^2 + 
   14*a^2*z^2 - 17*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   11*a^2*z^4 - 20*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26030] -> 2/a^12 - 8/a^10 + 7/a^8 + (2*z^2)/a^12 - 
   (16*z^2)/a^10 + (21*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - 
   (15*z^4)/a^10 + (22*z^4)/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (9*z^6)/a^10 + (12*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26031] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   z^2/a^12 - (7*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^4/a^12 - 
   (4*z^4)/a^10 + (4*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 26032] -> -2*a^2 + 7*a^4 - 4*a^6 - z^2 - 
   a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 
   5*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26033] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 5*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 26034] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 25*z^2 + z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (31*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26035] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26036] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 16*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 26037] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26038] -> 
  7*a^8 - 8*a^10 + 2*a^12 - 2*a^4*z^2 + 4*a^6*z^2 + 21*a^8*z^2 - 
   18*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 10*a^6*z^4 + 
   23*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 
   13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 26039] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - a^4*z^2 + 
   8*a^6*z^2 + 6*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + a^4*z^4 + 
   9*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 26040] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + 
   a^10 - z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 15*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 
   z^4 - z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 26041] -> a^2 + a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - z^4/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26042] -> 
  -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 5*z^2 + 16*a^2*z^2 - 7*a^4*z^2 - 
   8*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 9*a^4*z^4 - 16*a^6*z^4 + 
   8*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 26043] -> 1 + a^(-6) - 6/a^4 + 7/a^2 - 2*a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 26044] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   2*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 10*a^4*z^4 - 3*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26045] -> 
  3 - a^(-4) - a^4 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 11*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26046] -> 
  a^2 + a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   z^4/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26047] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - z^2 - 
   z^2/a^2 + 14*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 21*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26048] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 8*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26049] -> 
  2 - a^2 - a^4 + a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26050] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26051] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) - (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (18*z^2)/a^6 - (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 + 
   (20*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + 
   (10*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26052] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 23*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 - 
   22*z^4 - z^4/a^4 + (8*z^4)/a^2 + 29*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26053] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - z^2 + (2*z^2)/a^10 - 
   (13*z^2)/a^8 + (28*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (29*z^4)/a^6 - (30*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (19*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 26054] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 3*z^2 + 
   5*a^2*z^2 + 12*a^4*z^2 - 19*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 
   7*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26055] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26056] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 2*z^2 + 
   2*a^2*z^2 + 10*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   3*a^4*z^4 - 12*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26057] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 + 
   3*z^4 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26058] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 6*z^4 + 
   z^4/a^8 - (12*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 26059] -> -5 - 4/a^4 + 9/a^2 + a^2 - 
   14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (15*z^4)/a^4 + (25*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26060] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   7*a^2*z^2 + 4*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 12*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26061] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (7*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26062] -> 3 - 4*a^2 + 2*a^4 + z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   16*a^2*z^4 + 7*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26063] -> -2/a^6 + 3/a^4 - 3*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (7*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26064] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 3*z^2 + 11*a^2*z^2 - 6*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 - z^4/a^2 + 11*a^2*z^4 - 13*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26065] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26066] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (17*z^4)/a^6 - (19*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26067] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + z^4/a^6 - (5*z^4)/a^4 + (15*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26068] -> -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 
   16*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - z^4/a^2 + 13*a^2*z^4 - 
   17*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26069] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 11*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26070] -> 
  -3 + 8*a^2 - 4*a^4 - 10*z^2 + z^2/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - 
   9*z^4 + z^4/a^4 - z^4/a^2 + 21*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 26071] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 26072] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26073] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26074] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26075] -> 
  3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   a^8*z^2 + 5*z^4 - z^4/a^2 - 8*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26076] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26077] -> 
  -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + z^2/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 26078] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2/a^10 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - z^4/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26079] -> 
  -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 26080] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   3*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 26081] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26082] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (13*z^4)/a^6 - (22*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + (2*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26083] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26084] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26085] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - 2*a^2*z^2 + 5*a^4*z^2 + 8*a^6*z^2 - 
   12*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 
   8*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 26086] -> a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^8*z^2 - a^10*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 26087] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (22*z^2)/a^6 - (26*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (23*z^4)/a^6 - 
   (33*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 26088] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 + 5*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26089] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^10 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (16*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26090] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26091] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26092] -> a^(-2) - a^4 + a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 26093] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26094] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26095] -> 3 - a^(-2) - 2*a^4 + a^6 + z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 26096] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 6*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26097] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 26098] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 9*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26099] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26100] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 26101] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 17*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 26102] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 3*a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 - 
   17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 26*a^6*z^4 - 
   18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 26103] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26104] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 26105] -> 
  3 - a^(-2) - a^2 + 3*z^2 + z^2/a^6 - (4*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 - 
   z^4 + z^4/a^6 - (4*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 26106] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26107] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 3*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 6*z^4 - (7*z^4)/a^4 + 
   (13*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 26108] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26109] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26110] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 26111] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 26112] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26113] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   15*a^2*z^2 + 5*a^4*z^2 + 9*z^4 - (8*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 
   4*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 26114] -> 2 + 3/a^4 - 5/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 26115] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (23*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 26116] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 
   4*a^10*z^2 + 2*z^4 - 6*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26117] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 
   17*a^4*z^2 + 25*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 
   26*a^4*z^4 + 31*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   18*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 26118] -> 2 - a^2 - a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26119] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 26120] -> a^(-6) - a^(-2) + a^4 - 4*z^2 - z^2/a^8 + 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 26121] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26122] -> 1 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 18*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26123] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26124] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 25*z^2 + z^2/a^6 - (5*z^2)/a^4 + (16*z^2)/a^2 + 18*a^2*z^2 - 
   4*a^4*z^2 - 33*z^4 + z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 26125] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26126] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26127] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 26128] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26129] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26130] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26131] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 
   4*a^2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 6*a^8*z^2 + 6*a^2*z^4 - 16*a^4*z^4 + 
   11*a^6*z^4 + 3*a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 26132] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 + 8*z^2 - (4*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 13*z^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 
   6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 26133] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 6*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 12*a^4*z^4 - 
   3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26134] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   18*a^2*z^2 - 13*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 9*z^4 + 23*a^2*z^4 - 
   8*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 3*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 26135] -> 3 + 2/a^4 - 4/a^2 + z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 26136] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^8 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26137] -> 1 + z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 26138] -> -a^(-8) + 2/a^4 - 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26139] -> 
  4*a^6 - 3*a^8 - 2*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 - 4*a^10*z^2 + 
   2*a^12*z^2 - 5*a^4*z^4 + 16*a^6*z^4 + a^8*z^4 - 10*a^10*z^4 + 3*a^12*z^4 - 
   4*a^4*z^6 + 11*a^6*z^6 + 5*a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 26140] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 8*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 26141] -> -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26142] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26143] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26144] -> -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 26145] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26146] -> 
  4 + 3/a^4 - 6/a^2 + 2*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - (13*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26147] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^4)/a^12 - (5*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 26148] -> -a^(-10) + 2/a^8 - 3/a^4 + 
   3/a^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - z^4/a^10 + (8*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 + (7*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26149] -> 
  -2 + 6*a^2 - 3*a^4 - 4*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 7*z^4 + (8*z^4)/a^4 - (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26150] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26151] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26152] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 
   11*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 2*a^4*z^4 - 11*a^6*z^4 + 
   13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 26153] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - 
   (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26154] -> 
  a^(-6) - a^(-4) + a^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26155] -> 3 + 2/a^4 - 4/a^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26156] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 26157] -> 
  -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - (6*z^2)/a^10 + (21*z^2)/a^8 - 
   (20*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - 
   (13*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 26158] -> 
  1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26159] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (17*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26160] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + a^2*z^2 + 5*a^4*z^2 - 11*a^6*z^2 + 
   16*a^8*z^2 - 5*a^10*z^2 + 4*a^2*z^4 - 3*a^4*z^4 - 13*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 10*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26161] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + 3*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 7*a^8*z^2 - 
   2*a^10*z^2 + z^4 + a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + 
   z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 26162] -> -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + 
   a^(-2) - (2*z^2)/a^10 + (11*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (11*z^4)/a^8 - (7*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26163] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 - z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26164] -> 
  -5 + 2/a^6 - 5/a^4 + 6/a^2 + 4*a^2 - a^4 - 22*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (20*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 29*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (25*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26165] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 26166] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26167] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26168] -> 
  -2/a^14 + 7/a^12 - 9/a^10 + 2/a^8 + 3/a^6 - (3*z^2)/a^14 + (17*z^2)/a^12 - 
   (21*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (15*z^4)/a^12 - (22*z^4)/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (13*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26169] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + 
   (7*z^2)/a^12 - (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (9*z^4)/a^8 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26170] -> -a^(-12) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-2) + 
   z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (8*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26171] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (6*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26172] -> -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26173] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (19*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - (6*z^4)/a^8 + (19*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26174] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 22*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26175] -> 1 + a^(-6) - 2/a^2 + a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 26176] -> a^2 - a^4 + 2*a^6 - a^10 + 5*a^2*z^2 - 
   10*a^4*z^2 + 11*a^6*z^2 - a^10*z^2 + z^4 + 4*a^2*z^4 - 16*a^4*z^4 + 
   10*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 10*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26177] -> 
  -1 - a^(-8) + 5/a^6 - 7/a^4 + 4/a^2 + a^2 - 9*z^2 - (4*z^2)/a^8 + 
   (15*z^2)/a^6 - (23*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (28*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 26178] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 6*z^2 + 
   z^2/a^2 + 19*a^2*z^2 - 27*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 27*a^2*z^4 - 31*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 18*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26179] -> 
  -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 12*z^2 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26180] -> 
  -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (14*z^4)/a^8 - 
   (5*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26181] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26182] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26183] -> 2 + 3/a^4 - 5/a^2 + a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26184] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   6*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - a^2*z^4 + 11*a^4*z^4 - 
   3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26185] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (10*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26186] -> 
  -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 26187] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26188] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 10*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26189] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 26190] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 + (6*z^2)/a^6 - (15*z^2)/a^4 + 
   (14*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (18*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26191] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 + 
   2*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 26192] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 
   3*a^2 - 16*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26193] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 3*z^2 - 
   5*a^2*z^2 + 8*a^6*z^2 - a^8*z^2 - a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 
   6*a^4*z^4 + 6*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26194] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26195] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (14*z^2)/a^14 + 
   (3*z^2)/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (10*z^4)/a^14 + (18*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + 
   (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 26196] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - z^2/a^16 - (5*z^2)/a^14 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (7*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 26197] -> 2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - 
   (3*z^2)/a^14 - (9*z^2)/a^12 + (16*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - 
   (4*z^4)/a^14 + (5*z^4)/a^12 + (23*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (10*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 26198] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - z^2/a^16 - z^2/a^14 - z^2/a^12 + 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + (4*z^4)/a^12 + 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 26199] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - (5*z^2)/a^10 + (11*z^2)/a^8 + 
   z^2/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - (8*z^4)/a^10 + (17*z^4)/a^8 + 
   (5*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26200] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - 
   (2*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26201] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26202] -> -a^(-2) + 5*a^2 - 3*a^4 + 2*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26203] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) - (7*z^2)/a^14 - 
   (5*z^2)/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + 
   (11*z^4)/a^12 + (29*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (14*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 26204] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 
   9*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26205] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^10 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 26206] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 7*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26207] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 11*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 26208] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + 
   (2*z^2)/a^4 + 4*a^2*z^2 - a^4*z^2 - 6*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26209] -> -3/a^4 + 5/a^2 - a^2 - 3*z^2 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 8*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + 
   (8*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26210] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 9*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26211] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26212] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   9*z^2 + z^2/a^8 - (13*z^2)/a^4 + (24*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - (6*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26213] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 7*a^4*z^2 + 17*a^6*z^2 + 
   10*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 8*a^4*z^4 + 23*a^6*z^4 + 
   16*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 15*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 26214] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 60*z^2 + 
   (9*z^2)/a^4 - (42*z^2)/a^2 - 22*a^2*z^2 + 90*z^4 + (10*z^4)/a^4 - 
   (58*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 26215] -> 
  2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + (7*z^2)/a^8 - (33*z^2)/a^6 + 
   (47*z^2)/a^4 - (16*z^2)/a^2 + (9*z^4)/a^8 - (50*z^4)/a^6 + (76*z^4)/a^4 - 
   (25*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 26216] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (10*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26217] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   22*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 24*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   27*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26218] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 
   3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 26219] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 14*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 + (3*z^4)/a^4 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 26220] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26221] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 
   26*z^2 - (5*z^2)/a^2 - 38*a^2*z^2 + 15*a^4*z^2 + 46*z^4 - (8*z^4)/a^2 - 
   73*a^2*z^4 + 25*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 26222] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   12*a^2*z^2 + 7*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 
   19*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26223] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 12*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 17*a^2*z^4 + 9*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26224] -> 
  -4 + 3/a^2 + a^2 + a^4 - 10*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 11*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 26225] -> 
  1 - z^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26226] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26227] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26228] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 10*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26229] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 19*z^2 + 
   (7*z^2)/a^2 + 13*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 24*z^4 + (9*z^4)/a^2 + 
   7*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 26230] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   9*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26231] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26232] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 14*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 26233] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - a^6*z^4 + 
   a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 26234] -> 
  3 - 8*a^2 + 10*a^4 - 4*a^6 + 13*z^2 - 40*a^2*z^2 + 41*a^4*z^2 - 
   12*a^6*z^2 + 24*z^4 - 74*a^2*z^4 + 62*a^4*z^4 - 13*a^6*z^4 + 19*z^6 - 
   68*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 26235] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 11*z^2 + 
   (5*z^2)/a^2 + a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 18*z^4 + (9*z^4)/a^2 - 
   5*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 26236] -> 3 - 6*a^2 + 5*a^4 - a^8 + 
   8*z^2 - 18*a^2*z^2 + 6*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 9*z^4 - 
   22*a^2*z^4 - 3*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 
   8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 26237] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26238] -> 
  5 + 3/a^4 - 7/a^2 + a^2 - a^4 + 5*z^2 + (7*z^2)/a^4 - (17*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26239] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26240] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 
   z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 26241] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2 - 
   z^2/a^4 + z^2/a^2 + z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26242] -> 
  -5 + 3/a^2 + 3*a^2 - 21*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 25*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26243] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (7*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (7*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26244] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - 
   z^2/a^14 + (4*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26245] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 26246] -> 1 + z^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   3*z^4 - z^4/a^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26247] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 26248] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   3*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26249] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 9*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 26250] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   3*z^2 + 11*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   z^4/a^2 + 19*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26251] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 8*a^2*z^2 - 18*a^4*z^2 + 14*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - z^4/a^2 + 5*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 26252] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^6 - 
   z^4/a^4 + a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 26253] -> 
  2/a^2 - 4*a^2 + 3*a^4 - z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 - 13*a^2*z^2 + 
   5*a^4*z^2 + 4*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 
   8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 26254] -> -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 4*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26255] -> -5 + 2/a^2 + 7*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   16*z^2 + (5*z^2)/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   19*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26256] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 26257] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   z^2 - z^2/a^8 + z^2/a^6 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26258] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26259] -> a^(-2) - a^2 + a^4 - 8*z^2 + (3*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26260] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 11*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26261] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26262] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 26263] -> -1 - a^(-6) + 2/a^4 + a^2 - 9*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26264] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^2 - 
   3*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26265] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   z^2/a^14 + (4*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (4*z^4)/a^10 - (10*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26266] -> 1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - 
   z^2/a^2 + 10*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   19*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 26267] -> -3/a^8 + 4/a^6 - z^2/a^14 + 
   (4*z^2)/a^12 - z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (6*z^4)/a^10 - (15*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26268] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   18*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 
   22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 23*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26269] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 26270] -> 1 - a^2 + 2*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26271] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 + (2*z^4)/a^4 - z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26272] -> 
  4*a^2 - 5*a^4 + 2*a^6 - z^2 - z^2/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   5*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 26273] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26274] -> a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26275] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + z^4/a^6 + (10*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 26276] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^8 + 
   (2*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 26277] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 26278] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   13*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26279] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 
   4*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26280] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - z^2/a^4 - a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 26281] -> a^(-2) - a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26282] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 + 
   a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26283] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (8*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26284] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26285] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   8*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 7*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 26286] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26287] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^8 - z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26288] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 
   a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 - 
   3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 26289] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 9*z^4 + (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 26290] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - z^2/a^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 2*z^4 - 2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26291] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 26292] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 26293] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 26294] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 + z^6 - 
   z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26295] -> -1 + a^(-4) + a^4 - 8*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26296] -> -a^(-14) + 4/a^12 - 6/a^10 + 
   a^(-8) + 3/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - (14*z^2)/a^10 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^12 - (15*z^4)/a^10 - 
   (13*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26297] -> -3 + 2/a^2 + 2*a^2 + 4*z^2 - z^2/a^2 - 
   9*a^2*z^2 + 4*a^4*z^2 + 31*z^4 - (11*z^4)/a^2 - 31*a^2*z^4 + 8*a^4*z^4 + 
   42*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 26298] -> -2 + 2/a^2 + a^4 + z^2 - z^2/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26299] -> 2 - 2*a^2 + a^4 + 6*z^2 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 
   z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26300] -> 
  -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26301] -> 3 + a^(-6) - a^(-4) - 2/a^2 + a^2 - a^4 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26302] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 10*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26303] -> -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 
   8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 26304] -> 
  -a^(-14) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-4) - (3*z^2)/a^14 + (6*z^2)/a^12 + 
   (6*z^2)/a^10 - (13*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (15*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26305] -> 
  a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   (4*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^12 - (7*z^4)/a^10 + 
   (2*z^4)/a^8 + (15*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26306] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (15*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26307] -> 
  1 - 2/a^10 + 3/a^8 - a^(-4) + 2*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   z^2/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (5*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26308] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26309] -> 
  3 + 2/a^4 - 4/a^2 + z^2 + z^2/a^4 - (4*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 26310] -> 1 - 5*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26311] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   z^2/a^2 + z^4 - z^4/a^10 + z^4/a^8 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26312] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - (2*z^2)/a^6 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (15*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26313] -> -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - 
   (5*z^2)/a^6 + (11*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (7*z^4)/a^6 + (16*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26314] -> -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - 
   z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^12 - z^4/a^10 - (12*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 26315] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   5*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 26316] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26317] -> -5 + 3/a^2 + 5*a^2 - 4*a^4 + 
   2*a^6 - 15*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26318] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (4*z^2)/a^8 - (10*z^2)/a^6 + 
   (7*z^2)/a^4 - 2*z^4 + (5*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26319] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (5*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - (16*z^4)/a^8 + (11*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26320] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26321] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26322] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26323] -> 
  10 + 3/a^4 - 9/a^2 - 3*a^2 + 30*z^2 + (11*z^2)/a^4 - (33*z^2)/a^2 - 
   8*a^2*z^2 + 43*z^4 + (17*z^4)/a^4 - (54*z^4)/a^2 - 9*a^2*z^4 + 33*z^6 + 
   (14*z^6)/a^4 - (50*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - 
   (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 26324] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26325] -> 
  5 + a^(-6) - 4/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26326] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 7*z^2 - 
   21*a^2*z^2 + 19*a^4*z^2 - 5*a^6*z^2 + 13*z^4 - 41*a^2*z^4 + 34*a^4*z^4 - 
   8*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 31*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 26327] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 
   6*z^2 - (8*z^2)/a^6 + (24*z^2)/a^4 - (22*z^2)/a^2 + 8*z^4 - (14*z^4)/a^6 + 
   (44*z^4)/a^4 - (36*z^4)/a^2 + 5*z^6 - (13*z^6)/a^6 + (45*z^6)/a^4 - 
   (31*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (26*z^8)/a^4 - (13*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 26328] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26329] -> -4 + a^(-6) - 4/a^4 + 7/a^2 + a^4 - 
   11*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26330] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 4*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26331] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 10*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26332] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (6*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26333] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26334] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26335] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 - a^4*z^2 + a^6*z^2 + 
   z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26336] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (17*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26337] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (2*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (18*z^4)/a^8 + (11*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26338] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26339] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - a^4*z^2 - 7*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26340] -> -a^(-4) + 2/a^2 - 2*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (10*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26341] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (4*z^2)/a^12 - z^2/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26342] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26343] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (6*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 12*z^6 + 
   (4*z^6)/a^2 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26344] -> 
  1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 
   13*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 13*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 26345] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^8 - z^2/a^6 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26346] -> a^(-2) - a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26347] -> 
  4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + 8*a^4*z^2 - 13*a^6*z^2 + 12*a^8*z^2 - 
   3*a^10*z^2 + 2*a^2*z^4 + a^4*z^4 - 13*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 26348] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   (5*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26349] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26350] -> 3 + 2/a^4 - 4/a^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26351] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + z^4 - 4*a^4*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26352] -> 
  -7 - 2/a^6 + 2/a^4 + 5/a^2 + 3*a^2 - 20*z^2 - (5*z^2)/a^6 + (13*z^2)/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - 
   (5*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26353] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26354] -> 2/a^12 - 3/a^10 - 5/a^8 + 9/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (14*z^2)/a^10 - (3*z^2)/a^8 + (24*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (18*z^4)/a^10 + (6*z^4)/a^8 + (26*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26355] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (14*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 + (3*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26356] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26357] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (14*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 + (3*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26358] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (16*z^2)/a^10 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (16*z^4)/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26359] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   z^2/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26360] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 11*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 26361] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26362] -> 
  -2/a^14 + 7/a^12 - 9/a^10 + 2/a^8 + 3/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (19*z^2)/a^10 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (18*z^4)/a^10 - (11*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26363] -> 
  3 - 4*a^2 + 2*a^4 + 17*z^2 - (6*z^2)/a^2 - 18*a^2*z^2 + 5*a^4*z^2 + 
   40*z^4 - (13*z^4)/a^2 - 34*a^2*z^4 + 8*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 
   31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 26364] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26365] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 15*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 9*z^4 - (8*z^4)/a^4 + 
   (21*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (5*z^6)/a^4 + 
   (15*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 26366] -> 
  a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^6*z^2 + 6*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 26367] -> -1 + a^(-2) - a^2 + 3*a^4 - a^8 - 
   5*z^2 + (3*z^2)/a^2 + 6*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 26368] -> -5 + 2/a^2 + 6*a^2 - 3*a^4 + 
   2*a^6 - a^8 - 15*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26369] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 4*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 26370] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 6*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26371] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - 
   (3*z^2)/a^14 + (15*z^2)/a^12 - (16*z^2)/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (13*z^4)/a^12 - (15*z^4)/a^10 - 
   (13*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26372] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 + 
   (2*z^2)/a^2 - 11*a^2*z^2 + a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + z^4 + 
   (3*z^4)/a^2 - 17*a^2*z^4 - 4*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 12*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 26373] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) - (2*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26374] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - z^2/a^10 + (6*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26375] -> 
  a^6 + 6*a^8 - 9*a^10 + 3*a^12 - 4*a^4*z^2 + 6*a^6*z^2 + 26*a^8*z^2 - 
   29*a^10*z^2 + 7*a^12*z^2 - 8*a^4*z^4 + 9*a^6*z^4 + 42*a^8*z^4 - 
   34*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 33*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 26376] -> 
  2*a^4 - 3*a^6 + 7*a^8 - 7*a^10 + 2*a^12 - 2*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 + 15*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 26377] -> 1 - 2/a^4 + 3/a^2 - a^2 + 
   2*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 26378] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26379] -> -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 4*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 26380] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26381] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 + (5*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26382] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   3*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26383] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 - (2*z^6)/a^4 + a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26384] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 26385] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 26386] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (11*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - 
   (15*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (10*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26387] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^10 + (9*z^4)/a^8 - (4*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26388] -> -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 9*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 12*a^4*z^4 - 
   6*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 26389] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26390] -> 
  2 - a^(-2) + a^4 - a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 26391] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 
   2*a^2 - 12*z^2 - z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26392] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26393] -> 
  -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26394] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26395] -> 
  -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26396] -> -a^(-4) + 2/a^2 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 26397] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + 
   20*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 10*a^2*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 26398] -> 
  2*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 26399] -> 
  6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 9*z^2 + (9*z^2)/a^4 - (22*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + (10*z^4)/a^4 - (26*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 5*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26400] -> 6 + a^(-6) - a^(-4) - 3/a^2 - 2*a^2 + 
   11*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26401] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 6*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 21*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26402] -> 
  3 - a^(-2) - 2*a^4 + a^6 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26403] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 26404] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 
   18*z^2 + z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   22*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 26405] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (18*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (19*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26406] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 18*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   24*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 22*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   32*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26407] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 - 15*a^8*z^2 + 6*a^10*z^2 - 2*a^2*z^4 + 
   16*a^6*z^4 - 14*a^8*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 26408] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 26*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (16*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 33*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (21*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26409] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 11*a^2*z^2 - 18*a^4*z^2 + 
   13*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 26410] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26411] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 10*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 26412] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   4*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26413] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 + z^2/a^4 + z^2/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 14*z^4 + (5*z^4)/a^4 - (5*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26414] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 7*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 26415] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 3*z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26416] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26417] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 26418] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - z^2/a^4 + z^2/a^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26419] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + a^2*z^2 + 
   6*a^4*z^2 - 13*a^6*z^2 + 14*a^8*z^2 - 4*a^10*z^2 + 3*a^2*z^4 - a^4*z^4 - 
   14*a^6*z^4 + 15*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 9*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26420] -> 
  -2/a^14 + 8/a^12 - 10/a^10 + a^(-8) + 4/a^6 - (6*z^2)/a^14 + 
   (25*z^2)/a^12 - (30*z^2)/a^10 + (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (32*z^4)/a^12 - (41*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - 
   z^6/a^14 + (17*z^6)/a^12 - (32*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 26421] -> -2/a^14 + 7/a^12 - 8/a^10 + 
   2/a^8 + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (16*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (14*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 26422] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 
   6*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + 
   (5*z^4)/a^4 - (8*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26423] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26424] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^4 + z^4/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26425] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26426] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   7*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26427] -> a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - a^2*z^4 + 
   11*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26428] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26429] -> 1 + a^4 - 2*a^6 + a^8 - a^2*z^2 + 
   6*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 9*a^4*z^4 - 
   14*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 8*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 26430] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 10*a^2*z^2 - 
   8*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 13*a^2*z^4 - 2*a^4*z^4 - 
   11*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 26431] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26432] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26433] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26434] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26435] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26436] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26437] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26438] -> -1 + a^(-2) + a^2 - 9*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26439] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2/a^6 + z^2/a^4 - 3*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26440] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^8 - z^2/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 26441] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 - z^2/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 26442] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   z^2/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26443] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 7*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26444] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 - 
   z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (3*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26445] -> 2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + z^2 + 
   (2*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 12*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26446] -> -1 + a^(-2) - a^2 + 3*a^4 - a^8 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 - 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 26447] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 26448] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 7*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26449] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26450] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 26451] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 + 
   z^4/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (5*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26452] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26453] -> -3/a^4 + 5/a^2 - a^2 - 4*z^2 - z^2/a^6 - 
   z^2/a^4 + (9*z^2)/a^2 + a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26454] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - 
   (9*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (3*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26455] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^12 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 + z^4/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26456] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + (6*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26457] -> 
  5 - 2/a^2 - 2*a^2 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 26458] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 8*z^2 + z^2/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 26459] -> 
  2*a^4 - 4*a^6 + 9*a^8 - 8*a^10 + 2*a^12 - 2*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + 20*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 26460] -> a^2 - a^4 + a^6 + 3*a^8 - 
   4*a^10 + a^12 - z^2 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 + 6*a^8*z^2 - 
   6*a^10*z^2 + a^12*z^2 - z^4 + a^2*z^4 + a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 26461] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 8*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26462] -> 
  3 + a^(-6) - 2/a^4 - a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26463] -> 2 - a^(-4) + a^(-2) - a^2 - 5*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26464] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   11*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + (6*z^4)/a^2 - 13*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26465] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 20*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 
   7*z^4 + z^4/a^4 - z^4/a^2 + 20*a^2*z^4 - 9*a^4*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 26466] -> 5 - 2/a^2 - 2*a^2 + 6*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26467] -> 1 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 11*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26468] -> 4*a^4 - 4*a^6 + a^8 + 2*z^2 - z^2/a^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26469] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - 
   (9*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - 
   (12*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26470] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 6*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (11*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26471] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 - (2*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 14*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 26472] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26473] -> 
  -2 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26474] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 2*z^2 + z^2/a^8 - (7*z^2)/a^4 + 
   (14*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 26475] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26476] -> 
  1 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 18*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26477] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26478] -> 1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26479] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26480] -> 1 - z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 26481] -> 4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 6*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26482] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 11*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26483] -> 6 + 3/a^4 - 7/a^2 - 2*a^2 + 2*a^4 - 
   a^6 + 8*z^2 + (6*z^2)/a^4 - (15*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 + 2*z^4 + (4*z^4)/a^4 - (12*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 26484] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 26485] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 26486] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   11*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 26487] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 3*z^2 - z^2/a^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 26488] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 26489] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26490] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 26491] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26492] -> 3 + a^(-6) - 3/a^2 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26493] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26494] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 26495] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (20*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (23*z^4)/a^6 - (32*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26496] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26497] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26498] -> 
  -a^(-4) + 2/a^2 - 7*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26499] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 + 
   a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^10*z^2 - z^4/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 26500] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 4*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26501] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 26502] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 26503] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26504] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 14*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26505] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (6*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26506] -> 
  3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - z^2 + 10*a^2*z^2 - 23*a^4*z^2 + 
   26*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 13*a^2*z^4 - 31*a^4*z^4 + 
   28*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 19*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 26507] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26508] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 26509] -> -3 + a^(-4) + a^(-2) + 2*a^2 - a^4 + a^6 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 26510] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   5*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 26511] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 5*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 6*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 26512] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 26513] -> -a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - (7*z^4)/a^4 - z^6/a^10 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26514] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 12*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26515] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 26516] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^8 + z^4/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26517] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26518] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 26519] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26520] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26521] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 3*z^2 + (6*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (14*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26522] -> -2/a^14 + 7/a^12 - 9/a^10 + 4/a^8 - a^(-6) + 
   2/a^4 - (3*z^2)/a^14 + (15*z^2)/a^12 - (19*z^2)/a^10 + (7*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (17*z^4)/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 26523] -> -a^(-14) + 3/a^12 - 3/a^10 + 
   a^(-6) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 26524] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26525] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 5*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26526] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 8*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26527] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - z^2 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (9*z^4)/a^6 - (18*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26528] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26529] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26530] -> 3*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^2 + 
   a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   17*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 10*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26531] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26532] -> 
  -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26533] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + z^2/a^4 + z^2/a^2 + 12*a^2*z^2 - 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 26534] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 26535] -> 
  a^(-4) - a^(-2) + a^2 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26536] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26537] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 
   12*z^2 - (7*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 19*z^4 - 
   (9*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 26538] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (10*z^2)/a^14 + 
   (17*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + 
   (12*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 26539] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (5*z^2)/a^14 - (2*z^2)/a^12 + 
   (10*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (5*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 26540] -> 2 - a^(-4) + a^(-2) - 2*a^4 + a^6 + 9*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 13*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 6*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26541] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   10*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 26542] -> 
  -a^(-14) + a^(-12) - a^(-10) + 2/a^6 - (4*z^2)/a^14 + (7*z^2)/a^12 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (7*z^6)/a^10 - 
   (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 26543] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (8*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26544] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26545] -> -a^(-14) + 2/a^12 - 3/a^10 + a^(-8) + 
   2/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26546] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 2*z^2 - 
   6*a^2*z^2 + 6*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + 7*z^4 - 13*a^2*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 7*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 26547] -> -1 + 2*a^2 + a^4 - a^8 + 4*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26548] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 + (4*z^2)/a^12 - (12*z^2)/a^10 + z^2/a^8 + 
   (14*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^12 - (16*z^4)/a^10 + (6*z^4)/a^8 + 
   (19*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (8*z^6)/a^8 + 
   (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 26549] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^12 - (5*z^2)/a^10 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26550] -> 
  3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 3*z^2 + (9*z^2)/a^4 - (19*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (10*z^4)/a^4 - (24*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26551] -> -a^(-14) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (5*z^2)/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26552] -> -a^(-14) + a^(-12) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 26553] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^12 + z^2/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26554] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) - z^2 + z^2/a^12 - z^2/a^10 - 
   (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^10 - 
   z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 26555] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 56*z^2 + (9*z^2)/a^4 - (41*z^2)/a^2 - 
   21*a^2*z^2 + 99*z^4 + (12*z^4)/a^4 - (66*z^4)/a^2 - 33*a^2*z^4 + 87*z^6 + 
   (6*z^6)/a^4 - (48*z^6)/a^2 - 24*a^2*z^6 + 41*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 26556] -> 5 + a^(-4) - 4/a^2 - a^4 + 17*z^2 + 
   (4*z^2)/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 22*z^4 + 
   (4*z^4)/a^4 - (21*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 15*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 26557] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 29*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (14*z^2)/a^2 - 12*a^2*z^2 + 34*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 - 13*a^2*z^4 + 21*z^6 + z^6/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 26558] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 8*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 11*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26559] -> -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 5*z^2 + 
   18*a^2*z^2 - 13*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   16*a^4*z^4 - 7*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26560] -> 
  -2 + 6*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 
   2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 26561] -> 
  3 - a^(-2) - a^2 + a^4 - 2*a^6 + a^8 + 7*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26562] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 8*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 7*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 26563] -> -a^6 + 9*a^8 - 9*a^10 + 2*a^12 - 2*a^4*z^2 - 
   3*a^6*z^2 + 38*a^8*z^2 - 29*a^10*z^2 + 5*a^12*z^2 - 7*a^4*z^4 + a^6*z^4 + 
   55*a^8*z^4 - 34*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 7*a^6*z^6 + 
   39*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 26564] -> 
  -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - 5*a^4*z^2 + 15*a^6*z^2 + 7*a^8*z^2 - 
   11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 19*a^6*z^4 + 
   10*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 26565] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 12*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (21*z^2)/a^4 + (26*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (32*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26566] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26567] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 - 4*a^2*z^2 + 19*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 26*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 26568] -> 
  5 - 2/a^2 - 2*a^2 + 12*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   16*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 26569] -> 
  1 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26570] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 5*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   3*z^4 + 10*a^2*z^4 - 2*a^4*z^4 - 10*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26571] -> 
  2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + (5*z^2)/a^8 - (29*z^2)/a^6 + 
   (45*z^2)/a^4 - (16*z^2)/a^2 + (8*z^4)/a^8 - (46*z^4)/a^6 + (75*z^4)/a^4 - 
   (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 26572] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 4*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (18*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (21*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26573] -> 
  11 - 3/a^2 - 11*a^2 + 4*a^4 + 43*z^2 - (10*z^2)/a^2 - 54*a^2*z^2 + 
   20*a^4*z^2 + 67*z^4 - (12*z^4)/a^2 - 98*a^2*z^4 + 33*a^4*z^4 + 48*z^6 - 
   (6*z^6)/a^2 - 87*a^2*z^6 + 24*a^4*z^6 + 16*z^8 - z^8/a^2 - 41*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 26574] -> 3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + 6*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 24*a^2*z^2 + 11*a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 32*a^2*z^4 + 13*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   21*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 26575] -> 
  2/a^12 - 11/a^10 + 13/a^8 - 3/a^6 + (7*z^2)/a^12 - (42*z^2)/a^10 + 
   (62*z^2)/a^8 - (16*z^2)/a^6 + (11*z^4)/a^12 - (64*z^4)/a^10 + 
   (106*z^4)/a^8 - (29*z^4)/a^6 + (6*z^6)/a^12 - (47*z^6)/a^10 + 
   (89*z^6)/a^8 - (23*z^6)/a^6 + z^8/a^12 - (16*z^8)/a^10 + (41*z^8)/a^8 - 
   (8*z^8)/a^6 - (2*z^10)/a^10 + (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 26576] -> a^(-12) - 6/a^10 + 5/a^8 + 2/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (20*z^2)/a^10 + (21*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (22*z^4)/a^10 + (26*z^4)/a^8 + (17*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (11*z^6)/a^10 + (16*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26577] -> 2/a^12 - 10/a^10 + 11/a^8 - 2/a^6 + 
   (4*z^2)/a^12 - (23*z^2)/a^10 + (29*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (22*z^4)/a^10 + (29*z^4)/a^8 + (13*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (11*z^6)/a^10 + (16*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26578] -> a^(-12) - 5/a^10 + 3/a^8 + 3/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (6*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (13*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26579] -> 
  -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 4*z^2 + 16*a^2*z^2 - 13*a^4*z^2 + 
   2*a^8*z^2 - z^4/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 26580] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   14*z^2 - z^2/a^8 + (6*z^2)/a^6 - (19*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 
   23*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (33*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 26581] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 
   19*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 - 7*a^2*z^2 + 7*a^4*z^2 - 24*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 - 15*a^2*z^4 + 9*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26582] -> 
  -a^(-10) - 3/a^8 + 7/a^6 - 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (4*z^2)/a^8 + (27*z^2)/a^6 - (9*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + 
   (3*z^4)/a^8 + (34*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + 
   (8*z^6)/a^8 + (21*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26583] -> -5/a^8 + 8/a^6 - 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - (3*z^4)/a^8 + (16*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26584] -> 
  -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 2*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 26585] -> -2/a^10 + 2/a^8 - a^(-6) + 3/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (7*z^2)/a^8 + (10*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 26586] -> 
  -a^(-10) + 3/a^4 - a^(-2) - z^2 + z^2/a^12 - (2*z^2)/a^10 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 - z^4 - (2*z^4)/a^10 + (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 26587] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26588] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 13*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26589] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (20*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (28*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26590] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 21*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (24*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (30*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26591] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26592] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26593] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 8*z^2 - (2*z^2)/a^4 - 5*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26594] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 26595] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (20*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26596] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26597] -> 2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 4*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   5*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26598] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26599] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 20*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   26*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (28*z^4)/a^2 + 12*a^2*z^4 - 
   a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26600] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 26601] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   14*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (27*z^4)/a^4 + 
   (27*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 26602] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 21*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   25*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (30*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26603] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 11*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26604] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26605] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26606] -> 
  2*a^2 - a^4 - a^2*z^2 + 12*a^4*z^2 - 18*a^6*z^2 + 8*a^8*z^2 - 15*a^2*z^4 + 
   44*a^4*z^4 - 47*a^6*z^4 + 12*a^8*z^4 - 17*a^2*z^6 + 55*a^4*z^6 - 
   41*a^6*z^6 + 6*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 26607] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   3*a^2*z^2 + 9*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 2*a^2*z^4 + 
   11*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 8*a^2*z^6 + 10*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 26608] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + (3*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + 
   (5*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (6*z^6)/a^8 + 
   (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26609] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 44*z^2 + 
   (16*z^2)/a^4 - (48*z^2)/a^2 - 13*a^2*z^2 + 74*z^4 + (29*z^4)/a^4 - 
   (90*z^4)/a^2 - 16*a^2*z^4 + 53*z^6 + (23*z^6)/a^4 - (82*z^6)/a^2 - 
   7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (40*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 26610] -> 
  5 + a^(-6) - 4/a^2 - a^2 + 18*z^2 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (14*z^2)/a^2 - 6*a^2*z^2 + 23*z^4 + (7*z^4)/a^6 - (11*z^4)/a^4 - 
   (17*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (13*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 26611] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 2*z^2 + z^2/a^10 - z^2/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26612] -> 6 + 3/a^4 - 7/a^2 - a^2 + 12*z^2 + 
   (9*z^2)/a^4 - (24*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + 
   (12*z^4)/a^4 - (30*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (6*z^6)/a^4 - (20*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26613] -> 
  3 + a^(-6) - 3/a^2 + 5*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 26614] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26615] -> 4 + 3/a^4 - 6/a^2 + 4*z^2 + (8*z^2)/a^4 - 
   (19*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (9*z^4)/a^4 - 
   (22*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26616] -> 
  1 + a^(-6) - 2/a^2 + a^2 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26617] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 47*z^2 - 
   (16*z^2)/a^2 - 45*a^2*z^2 + 13*a^4*z^2 + 90*z^4 - (29*z^4)/a^2 - 
   74*a^2*z^4 + 16*a^4*z^4 + 82*z^6 - (23*z^6)/a^2 - 53*a^2*z^6 + 7*a^4*z^6 + 
   40*z^8 - (8*z^8)/a^2 - 17*a^2*z^8 + a^4*z^8 + 10*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 26618] -> 
  5 - a^(-2) - 4*a^2 + a^6 + 21*z^2 - (9*z^2)/a^2 - 11*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 + 30*z^4 - (12*z^4)/a^2 - 4*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 
   20*z^6 - (6*z^6)/a^2 + 6*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 7*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26619] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 15*z^2 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 23*a^2*z^2 + 7*a^4*z^2 + 19*z^4 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 - 25*a^2*z^4 + 5*a^4*z^4 + 14*z^6 - 
   (5*z^6)/a^4 + (13*z^6)/a^2 - 12*a^2*z^6 + a^4*z^6 + 6*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 26620] -> 
  3 - 3*a^2 + a^6 + 8*z^2 - (3*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 11*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26621] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 - 5*z^4 + (7*z^4)/a^8 - (10*z^4)/a^6 - (15*z^4)/a^4 + 
   (23*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (12*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26622] -> 
  -1 - 2/a^4 + 4/a^2 + 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26623] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26624] -> -a^(-4) + 2/a^2 + z^2/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (2*z^4)/a^8 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26625] -> -2 + a^(-4) + 2*a^2 - 13*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26626] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26627] -> 
  2 - 3*a^4 + 2*a^6 + 4*z^2 - (3*z^2)/a^2 + 7*a^2*z^2 - 18*a^4*z^2 + 
   7*a^6*z^2 + 10*z^4 - (7*z^4)/a^2 + 14*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 + 
   12*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26628] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 + 4*z^2 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^4 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26629] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^2 - 
   8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26630] -> -a^(-4) + 2/a^2 - z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (13*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26631] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   3*z^2 - z^2/a^10 + (6*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 26632] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (9*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 26633] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 26634] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + 7*z^2 - (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 
   7*a^6*z^2 + 3*a^8*z^2 + 8*z^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   8*a^6*z^4 + a^8*z^4 + 5*z^6 - z^6/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 26635] -> 
  1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 + z^2 - z^2/a^4 - 2*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 26636] -> a^(-6) - a^(-4) + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26637] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 19*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + 
   (19*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - 
   (17*z^4)/a^4 + (28*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26638] -> 
  -a^(-8) + a^(-6) + a^(-2) - 4*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26639] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26640] -> -a^(-4) + 2/a^2 - 6*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 + 16*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26641] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26642] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 26643] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + 6*a^2*z^2 - 9*a^4*z^2 + 
   10*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 16*a^4*z^4 + 
   17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 26644] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26645] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26646] -> 
  1 + z^2/a^8 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 26647] -> 4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 26648] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 - 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 + a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 26649] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26650] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - 
   (2*z^2)/a^14 + (11*z^2)/a^12 - (13*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26651] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26652] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 11*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26653] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 + 6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 26654] -> 
  -1 + a^(-2) + a^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26655] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26656] -> 2*a^4 - a^8 + 2*z^2 - 5*a^2*z^2 + 
   4*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 7*z^4 - 13*a^2*z^4 - a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 7*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 26657] -> a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26658] -> 
  3*a^4 - 2*a^6 - z^2 + z^2/a^2 - 3*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26659] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 4*a^4*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 26660] -> 
  -2/a^14 + 7/a^12 - 10/a^10 + 4/a^8 + 2/a^6 - (5*z^2)/a^14 + (26*z^2)/a^12 - 
   (37*z^2)/a^10 + (14*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + 
   (33*z^4)/a^12 - (52*z^4)/a^10 + (8*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (38*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 26661] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (10*z^2)/a^12 - (7*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (9*z^4)/a^10 - (16*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26662] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 22*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 22*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   29*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26663] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 26664] -> 
  a^(-4) - a^(-2) + a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26665] -> a^(-8) - 2/a^6 + 2/a^2 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (8*z^4)/a^8 - 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26666] -> 3 - 9*a^2 + 12*a^4 - 5*a^6 + 10*z^2 - 
   34*a^2*z^2 + 39*a^4*z^2 - 12*a^6*z^2 + 20*z^4 - 63*a^2*z^4 + 58*a^4*z^4 - 
   13*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 26667] -> -1 + a^(-2) - 2*a^2 + 6*a^4 - 
   3*a^6 - 2*z^2 + (2*z^2)/a^2 - 10*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 - 
   6*z^4 + (5*z^4)/a^2 - 14*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + 
   (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26668] -> 
  3*a^4 - 8*a^6 + 12*a^8 - 6*a^10 + 16*a^4*z^2 - 42*a^6*z^2 + 52*a^8*z^2 - 
   17*a^10*z^2 + 29*a^4*z^4 - 85*a^6*z^4 + 79*a^8*z^4 - 17*a^10*z^4 + 
   23*a^4*z^6 - 81*a^6*z^6 + 54*a^8*z^6 - 7*a^10*z^6 + 8*a^4*z^8 - 
   40*a^6*z^8 + 17*a^8*z^8 - a^10*z^8 + a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 26669] -> a^2 - a^4 - a^6 + 6*a^8 - 
   4*a^10 + 5*a^2*z^2 - 4*a^4*z^2 - 8*a^6*z^2 + 23*a^8*z^2 - 8*a^10*z^2 + 
   8*a^2*z^4 - 12*a^4*z^4 - 16*a^6*z^4 + 26*a^8*z^4 - 5*a^10*z^4 + 
   5*a^2*z^6 - 13*a^4*z^6 - 14*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 26670] -> 3*a^4 - 7*a^6 + 10*a^8 - 5*a^10 + 
   3*a^2*z^2 + 3*a^4*z^2 - 16*a^6*z^2 + 26*a^8*z^2 - 8*a^10*z^2 + 7*a^2*z^4 - 
   8*a^4*z^4 - 19*a^6*z^4 + 26*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   12*a^4*z^6 - 14*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 26671] -> a^2 - a^4 + 4*a^8 - 3*a^10 + z^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 
   10*a^4*z^4 - a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26672] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 24*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 22*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 33*z^4 - 
   (5*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 26673] -> 2*a^2 - 5*a^4 + 6*a^6 - 2*a^10 + 
   9*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 
   12*a^2*z^4 - 29*a^4*z^4 + 6*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 
   6*a^2*z^6 - 20*a^4*z^6 - 6*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   7*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 26674] -> 2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - a^10 + 
   2*z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 
   3*z^4 - 2*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 8*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 26675] -> 1 - 2*a^2 + 2*a^4 + 2*a^8 - 
   2*a^10 + 4*z^2 - 7*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 + 4*z^4 - 9*a^2*z^4 - 5*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 
   5*a^2*z^6 - 3*a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 26676] -> 1 - 2*a^2 + 2*a^4 + a^6 - a^10 + 
   z^2 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - 
   z^4 + z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 26677] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 - z^2/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26678] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 12*z^2 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 18*z^4 - (3*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 12*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 26679] -> -a^(-12) + 3/a^8 - 3/a^6 + a^(-4) + a^(-2) + 
   z^2 - z^2/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 - z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26680] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 7*z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26681] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26682] -> 2 - a^(-4) + a^(-2) - 2*a^4 + a^6 + 7*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   9*z^4 - z^4/a^6 + (5*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 4*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6, Knot[15, Alternating, 26683] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (8*z^4)/a^8 - 
   z^4/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26684] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (9*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26685] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) + (4*z^2)/a^12 - (10*z^2)/a^10 + 
   (9*z^2)/a^6 + (4*z^4)/a^12 - (13*z^4)/a^10 + z^4/a^8 + (13*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 26686] -> 
  4 - 3/a^2 + 3*a^2 - 3*a^4 + 13*z^2 - (8*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 + 20*z^4 - (9*z^4)/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26687] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 8*z^2 - 
   (2*z^2)/a^4 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 10*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26688] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26689] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (7*z^4)/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (7*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26690] -> a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26691] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (6*z^2)/a^14 - z^2/a^12 + (13*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (5*z^4)/a^14 + (10*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (11*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 26692] -> -a^(-18) + 5/a^16 - 7/a^14 - 
   2/a^12 + 6/a^10 + (5*z^2)/a^16 - (19*z^2)/a^14 + (2*z^2)/a^12 + 
   (23*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (14*z^4)/a^14 + (15*z^4)/a^12 + 
   (32*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (15*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 26693] -> -3 + 2/a^8 - 6/a^6 + 2/a^4 + 
   6/a^2 - 9*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + (7*z^2)/a^4 + (17*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + (12*z^4)/a^4 + (22*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26694] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 26695] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 
   2*a^4 + z^2 + z^2/a^6 + (5*z^2)/a^4 - (13*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 - (16*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^6 - z^6/a^4 - (11*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 26696] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 26697] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26698] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - (2*z^2)/a^6 + (7*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 + z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2, 
 Knot[15, Alternating, 26699] -> 2*a^4 - a^8 + z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 
   7*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - 
   z^8 - 3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 26700] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - (10*z^2)/a^14 + 
   (3*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + 
   (16*z^4)/a^12 + (28*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 26701] -> 2/a^10 - 4/a^8 + 3/a^4 + 
   z^2/a^12 + (2*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26702] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (14*z^2)/a^14 + (4*z^2)/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (10*z^4)/a^14 + (18*z^4)/a^12 + (31*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 26703] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (7*z^2)/a^14 + (13*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (8*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 26704] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 2*z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   10*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 10*a^2*z^6 - 
   5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 26705] -> -a^(-14) + a^(-8) + a^(-6) - z^2/a^16 - 
   (2*z^2)/a^14 + z^2/a^12 + (5*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 + (5*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 26706] -> a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - 
   (3*z^2)/a^14 - (5*z^2)/a^12 + (11*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (4*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 26707] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 + 2*z^2 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26708] -> a^(-6) - 5/a^4 + 6/a^2 - a^2 + z^2 + 
   z^2/a^8 - z^2/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 26709] -> 
  1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 + z^2/a^8 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 26710] -> -1 + 2*a^2 + a^4 - a^8 + z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 4*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 26711] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 10*z^2 + (3*z^2)/a^4 + 4*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^4*z^4 - 5*z^6 - z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6, 
 Knot[15, Alternating, 26712] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   7*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26713] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^4*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26714] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26715] -> -2*a^2 + 10*a^4 - 10*a^6 + 3*a^8 - z^2 - 
   a^2*z^2 + 19*a^4*z^2 - 23*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 
   10*a^4*z^4 - 26*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 2*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26716] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 7*a^2*z^2 + a^4*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26717] -> 
  -1 + a^(-6) - 6/a^4 + 8/a^2 - a^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (21*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (22*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 26718] -> -3 + 8*a^2 - 4*a^4 - 8*z^2 + z^2/a^2 + 
   14*a^2*z^2 - 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 10*a^4*z^4 - 
   6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 26719] -> 2*a^2 - a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   a^2*z^4 + 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 26720] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26721] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 
   18*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   18*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 26722] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 - z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26723] -> 2/a^12 - 9/a^10 + 9/a^8 - a^(-6) + 
   (3*z^2)/a^12 - (19*z^2)/a^10 + (24*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (17*z^4)/a^10 + (24*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (9*z^6)/a^10 + (13*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26724] -> a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26725] -> 
  -a^6 + 9*a^8 - 9*a^10 + 2*a^12 - 2*a^4*z^2 + 3*a^6*z^2 + 24*a^8*z^2 - 
   19*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 10*a^6*z^4 + 
   24*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 
   13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 26726] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^10 - (15*z^2)/a^8 + (25*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - z^4/a^10 - (11*z^4)/a^8 + (25*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26727] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + 11*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - z^4/a^2 + 
   11*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26728] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + a^6 - 
   19*z^2 - z^2/a^4 + (6*z^2)/a^2 + 29*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (8*z^4)/a^2 + 33*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26729] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 24*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (19*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (30*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26730] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 3*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 26731] -> 
  -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - 2*a^4*z^2 + 11*a^6*z^2 + 5*a^8*z^2 - 
   7*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + a^4*z^4 + 10*a^6*z^4 + 5*a^8*z^4 - 
   4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 26732] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 12*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 26733] -> a^2 + a^4 - a^6 - 2*z^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 26734] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 26735] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26736] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26737] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26738] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 - z^2/a^2 + 12*a^2*z^2 - 15*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 26739] -> -5 + a^(-4) + a^(-2) + 6*a^2 - 
   3*a^4 + a^6 - 14*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 15*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 26740] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + z^2 - z^2/a^2 + 4*a^2*z^2 - 
   13*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 12*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 26741] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26742] -> 
  1 - a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 26743] -> 
  5 + 3/a^4 - 7/a^2 + a^2 - a^4 + 5*z^2 + (8*z^2)/a^4 - (19*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (8*z^4)/a^4 - (20*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26744] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 26745] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26746] -> 
  4*a^2 - 5*a^4 + 2*a^6 - (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 
   a^8*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 26747] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   12*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 26748] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*z^2 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 26749] -> 
  1 + a^2 - a^4 - a^6 + a^8 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   a^10*z^2 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 26750] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - 7*z^4 + 13*a^2*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 
   13*a^2*z^6 + 7*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 26751] -> 1 + a^4 - 2*a^6 + a^8 + a^2*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 - (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 + 
   a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 26752] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 26753] -> 
  4 + 3/a^4 - 6/a^2 + 2*z^2 + (5*z^2)/a^4 - (13*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (4*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 26754] -> 
  1 + a^(-6) - 2/a^2 + a^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 26755] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26756] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2/a^8 + 
   z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 26757] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 26758] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   7*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 26759] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 3*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26760] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^4 + z^2/a^2 - 6*a^2*z^2 + 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 26761] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 - 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 26762] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 26763] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26764] -> 2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 26765] -> a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 26766] -> -2 + a^(-4) + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26767] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26768] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26769] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 26770] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26771] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^10 - 
   z^2/a^8 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 26772] -> 
  -3/a^8 + 4/a^6 - z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 - (7*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 26773] -> 
  -2/a^10 + 8/a^8 - 11/a^6 + 5/a^4 + a^(-2) - (5*z^2)/a^10 + (21*z^2)/a^8 - 
   (24*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - 
   (17*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 26774] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + z^2 - (3*z^2)/a^10 + 
   (9*z^2)/a^8 - (4*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26775] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26776] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26777] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26778] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26779] -> 
  3*a^4 - 6*a^6 + 8*a^8 - 4*a^10 + 2*a^2*z^2 + 4*a^4*z^2 - 13*a^6*z^2 + 
   20*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 5*a^4*z^4 - 15*a^6*z^4 + 
   20*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 11*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26780] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26781] -> 
  -2/a^14 + 7/a^12 - 10/a^10 + 4/a^8 + 2/a^6 - (3*z^2)/a^14 + (18*z^2)/a^12 - 
   (23*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (15*z^4)/a^12 - (23*z^4)/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (13*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26782] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + z^2 + 5*a^2*z^2 - 17*a^4*z^2 + 21*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 + 2*z^4 + 3*a^2*z^4 - 21*a^4*z^4 + 15*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 12*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26783] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26784] -> 
  -3 - a^(-8) + 4/a^6 - 7/a^4 + 7/a^2 + a^2 - 10*z^2 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (24*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (30*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 26785] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   20*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 28*z^4 + z^4/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 26786] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 6*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 26787] -> -a^(-14) + 3/a^12 - 3/a^10 - 
   2/a^8 + 4/a^6 - z^2/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (10*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 26788] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26789] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26790] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 26791] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26792] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26793] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 6*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26794] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^10 - 
   (7*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (3*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26795] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 6*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (9*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 26796] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 26797] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26798] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   z^2/a^12 - (7*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^4/a^12 - 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26799] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26800] -> a^(-12) - 2/a^10 + 2/a^4 + 
   z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26801] -> 
  -a^(-8) + 2/a^4 - z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26802] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 12*z^2 - (3*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + 17*z^4 - (3*z^4)/a^4 + z^4/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 11*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 26803] -> -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 
   4/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - 
   (9*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26804] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 4*z^2 + 
   (5*z^2)/a^8 - (12*z^2)/a^6 + (2*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (15*z^4)/a^6 + (2*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26805] -> 1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 - 2*z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 - z^6 - (2*z^6)/a^8 + 
   z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 26806] -> 6 - 4/a^2 + 3*a^2 - 5*a^4 + a^6 + 17*z^2 - 
   (10*z^2)/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 + 23*z^4 - 
   (10*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 + 16*z^6 - 
   (5*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 26807] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + 
   (8*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (2*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 26808] -> a^(-14) - 5/a^12 + 3/a^10 + 
   2/a^8 - (4*z^2)/a^14 - (5*z^2)/a^12 + (13*z^2)/a^10 + (8*z^2)/a^8 - 
   z^4/a^16 - (3*z^4)/a^14 + (5*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 + 
   z^4/a^6 + z^6/a^14 + (5*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 26809] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   z^2/a^14 + (4*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26810] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - (4*z^2)/a^14 + (7*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (6*z^4)/a^12 + 
   (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 26811] -> 
  -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - z^2/a^14 - z^2/a^12 + 
   (8*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26812] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - z^2/a^14 - (4*z^2)/a^12 + 
   (8*z^2)/a^10 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (2*z^4)/a^12 + 
   (8*z^4)/a^10 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 + 
   z^6/a^10 - (4*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 26813] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26814] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (8*z^2)/a^14 - (4*z^2)/a^12 + (17*z^2)/a^10 + 
   (6*z^2)/a^8 - z^4/a^16 - (5*z^4)/a^14 + (7*z^4)/a^12 + (21*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 26815] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26816] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 26817] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 26818] -> 
  -4/a^8 + 5/a^6 + a^(-4) - a^(-2) - (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   z^4/a^8 + (19*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26819] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (7*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26820] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 21*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (28*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26821] -> 
  a^4 + 5*a^6 - 9*a^8 + 5*a^10 - a^12 - a^2*z^2 + 18*a^6*z^2 - 21*a^8*z^2 + 
   7*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 20*a^6*z^4 - 16*a^8*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 26822] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26823] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 - a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 
   11*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   6*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 26824] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26825] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 - z^2/a^8 + 
   (12*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (14*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 26826] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 26827] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + z^4/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26828] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + a^2*z^2 - a^4*z^2 + 13*a^6*z^2 - 
   15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + a^2*z^4 - 8*a^4*z^4 + 19*a^6*z^4 - 
   17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 26829] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 17*a^2*z^4 - 27*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 26830] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + 
   a^10 - 3*z^2 + 13*a^2*z^2 - 21*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 19*a^2*z^4 - 26*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26831] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 26832] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   25*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 21*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   33*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26833] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26834] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26835] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 13*a^2*z^2 - 20*a^4*z^2 + 
   10*a^6*z^2 - 3*z^4 - (2*z^4)/a^2 + 16*a^2*z^4 - 18*a^4*z^4 + a^8*z^4 + 
   z^6 - z^6/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 26836] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26837] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 9*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26838] -> 
  4 + 3/a^4 - 6/a^2 + 4*z^2 + (7*z^2)/a^4 - (17*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26839] -> 1 + a^(-6) - 2/a^2 + a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26840] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 26841] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 17*z^2 + 
   (4*z^2)/a^2 + 26*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 25*z^4 + 
   (7*z^4)/a^2 + 32*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 
   17*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26842] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26843] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26844] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 26845] -> 
  2 - a^2 - a^4 + a^6 + z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^2 + 9*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   5*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26846] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26847] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2 + z^2/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (9*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26848] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^8 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26849] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - 
   (5*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26850] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 26851] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26852] -> -a^(-4) + 2/a^2 - 10*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26853] -> 
  3 - a^(-2) - a^2 + 9*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   7*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26854] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 
   4*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 26855] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) - (7*z^2)/a^14 - 
   (3*z^2)/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - (4*z^4)/a^14 + 
   (8*z^4)/a^12 + (21*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 26856] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 - 
   (6*z^2)/a^6 + (10*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26857] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 8*z^2 - 
   (6*z^2)/a^6 + (11*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^6 + (15*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26858] -> 
  -3 - 4/a^6 + 6/a^4 + a^(-2) + a^2 - 10*z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^6 + (16*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 11*z^6 - z^6/a^6 + (9*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26859] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26860] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26861] -> 7 + 3/a^4 - 8/a^2 - a^4 + 9*z^2 + 
   (8*z^2)/a^4 - (20*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + (8*z^4)/a^4 - 
   (21*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26862] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 9*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26863] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 26864] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (25*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26865] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26866] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 19*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 26*z^4 + (7*z^4)/a^2 + 31*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 26867] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26868] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26869] -> 6 + 3/a^4 - 7/a^2 - a^2 + 8*z^2 + 
   (7*z^2)/a^4 - (18*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + (7*z^4)/a^4 - 
   (19*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26870] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 6*z^2 - (5*z^2)/a^6 + (12*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (7*z^4)/a^6 + (16*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26871] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 + z^2/a^8 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26872] -> a^(-6) - a^(-4) + a^2 - z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 26873] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 
   z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26874] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (7*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26875] -> -3/a^8 + 4/a^6 - z^2/a^14 + (4*z^2)/a^12 - 
   z^2/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26876] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (10*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26877] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26878] -> -2 + a^(-4) + 2*a^2 - 13*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (5*z^4)/a^6 + 
   (7*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26879] -> 
  -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^6 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 - (2*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 26880] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26881] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (6*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 26882] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 12*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (21*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26883] -> 1 + 3*z^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 26884] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (8*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26885] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26886] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26887] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 - z^4 + z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 26888] -> -2 + a^(-4) + 2*a^2 - 13*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 26889] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26890] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26891] -> 2 + a^(-4) - 2/a^2 + z^2 - (2*z^2)/a^2 + 
   a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 26892] -> 1 - 2/a^10 + 2/a^8 + 3/a^6 - 4/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (11*z^4)/a^8 - 
   (6*z^4)/a^6 - (20*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (13*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26893] -> 1 - a^(-12) + 3/a^8 - a^(-6) - 2/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (11*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 26894] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (17*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + 
   (15*z^4)/a^8 - (8*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26895] -> 2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 
   4*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (14*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26896] -> 2/a^12 - 3/a^10 - 4/a^8 + 7/a^6 - a^(-4) + 
   (5*z^2)/a^12 - (12*z^2)/a^10 - (5*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (17*z^4)/a^10 + (3*z^4)/a^8 + (23*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (8*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26897] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 26898] -> -5 + 2/a^8 - 5/a^6 - 2/a^4 + 11/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + (26*z^2)/a^2 - 
   11*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (9*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26899] -> 6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 9*z^2 + 
   (9*z^2)/a^4 - (22*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + 
   (10*z^4)/a^4 - (26*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26900] -> 
  -2/a^14 + 7/a^12 - 10/a^10 + 4/a^8 + 2/a^6 - (3*z^2)/a^14 + (17*z^2)/a^12 - 
   (23*z^2)/a^10 + (6*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (15*z^4)/a^12 - (22*z^4)/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (13*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26901] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (3*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26902] -> 5 - 2/a^6 + 8/a^4 - 10/a^2 + 11*z^2 - 
   (12*z^2)/a^6 + (37*z^2)/a^4 - (38*z^2)/a^2 + 12*z^4 - (22*z^4)/a^6 + 
   (68*z^4)/a^4 - (57*z^4)/a^2 + 6*z^6 - (18*z^6)/a^6 + (64*z^6)/a^4 - 
   (42*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 26903] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   7*z^2 - (7*z^2)/a^6 + (16*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (9*z^4)/a^6 + (23*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 26904] -> -7 + 4/a^2 + 4*a^2 - 21*z^2 - (3*z^2)/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26905] -> 
  a^(-4) - 2*a^2 + 2*a^4 + 2*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 26906] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26907] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 4*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 + 
   5*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + 7*a^8*z^4 - 
   2*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 2*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 26908] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 25*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 26909] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 
   15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26910] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   20*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 26911] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 26912] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 26913] -> 1 - a^2 + 3*a^6 - 2*a^8 + 5*z^2 + 
   z^2/a^2 - 10*a^2*z^2 - a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 3*z^4 + 
   (3*z^4)/a^2 - 18*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 13*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 26914] -> 1 - a^2 + a^4 + a^6 - a^8 - 
   z^2 + (3*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^6*z^4 - 4*z^6 - z^6/a^2 - 
   5*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 26915] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - (3*z^2)/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (13*z^4)/a^12 + 
   z^4/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - 
   (6*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 26916] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26917] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^14 - z^2/a^12 + (6*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (3*z^4)/a^12 + (6*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 26918] -> 
  -a^(-12) + a^(-10) + a^(-2) - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 + 
   z^2/a^8 + (2*z^2)/a^2 + (2*z^4)/a^12 + z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26919] -> -a^6 + 11*a^8 - 13*a^10 + 4*a^12 - 
   2*a^4*z^2 - 3*a^6*z^2 + 41*a^8*z^2 - 37*a^10*z^2 + 8*a^12*z^2 - 
   7*a^4*z^4 + a^6*z^4 + 56*a^8*z^4 - 39*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   7*a^6*z^6 + 39*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 26920] -> -a^4 + 5*a^6 - 5*a^10 + 2*a^12 - 5*a^4*z^2 + 
   16*a^6*z^2 + 5*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 19*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 26921] -> a^4 - a^6 + 6*a^8 - 7*a^10 + 
   2*a^12 - a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 16*a^8*z^2 - 15*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 16*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 26922] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 - a^2*z^2 + 
   2*a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 26923] -> 
  -a^(-8) - 3/a^6 + 8/a^4 - 3/a^2 + (3*z^2)/a^10 - (10*z^2)/a^8 + z^2/a^6 + 
   (23*z^2)/a^4 - (10*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (10*z^4)/a^6 + 
   (28*z^4)/a^4 - (12*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + (12*z^6)/a^6 + 
   (19*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 + (7*z^8)/a^4 - 
   z^8/a^2 + z^10/a^6 + z^10/a^4, Knot[15, Alternating, 26924] -> 
  -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 - z^2/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (13*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 26925] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (10*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (8*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 26926] -> 
  2 - a^(-8) + a^(-6) - a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^8 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 26927] -> -4 + 10*a^2 - 5*a^4 - 14*z^2 + (2*z^2)/a^2 + 
   25*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 + 
   4*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 26928] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 10*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 26929] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (16*z^2)/a^6 + (11*z^2)/a^4 - (7*z^4)/a^10 + 
   (36*z^4)/a^8 - (54*z^4)/a^6 + (21*z^4)/a^4 - (5*z^6)/a^10 + (35*z^6)/a^8 - 
   (61*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (33*z^8)/a^6 + 
   (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 26930] -> a^(-8) - 4/a^6 + 4/a^4 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (14*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (15*z^4)/a^8 - (18*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (12*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26931] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^10 + (3*z^2)/a^8 - (5*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (12*z^4)/a^8 - (7*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (9*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26932] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 26933] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2/a^10 + z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 26934] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 26935] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26936] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26937] -> -7 - 2/a^4 + 7/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   25*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 25*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26938] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^4 + a^6 + z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 26939] -> 
  -7 - 2/a^4 + 7/a^2 + 4*a^2 - 2*a^4 + a^6 - 26*z^2 - (3*z^2)/a^4 + 
   (16*z^2)/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 33*z^4 - (2*z^4)/a^4 + 
   (16*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 20*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26940] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 
   2*a^6 - 16*z^2 + (6*z^2)/a^2 + 11*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 
   23*z^4 + (9*z^4)/a^2 + 7*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26941] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 2*z^2 - (3*z^2)/a^2 + 14*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 16*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 26942] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 26943] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 14*z^2 + 
   (8*z^2)/a^4 - (22*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (9*z^4)/a^4 - 
   (25*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26944] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 26945] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + (6*z^2)/a^2 + 12*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 23*z^4 + (9*z^4)/a^2 + 7*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 
   16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 26946] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 
   a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 26947] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 26948] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 26949] -> 
  -2/a^14 + 9/a^12 - 14/a^10 + 6/a^8 + 2/a^6 - (7*z^2)/a^14 + (31*z^2)/a^12 - 
   (43*z^2)/a^10 + (15*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + 
   (37*z^4)/a^12 - (54*z^4)/a^10 + (8*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (38*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 26950] -> -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (11*z^2)/a^12 - (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - 
   (16*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26951] -> -2/a^14 + 7/a^12 - 8/a^10 + a^(-8) + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (15*z^2)/a^12 - (17*z^2)/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26952] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 26953] -> 
  3 - 8*a^2 + 7*a^4 + 2*a^6 - 3*a^8 + 10*z^2 - 23*a^2*z^2 + 9*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + 12*z^4 - 28*a^2*z^4 - 4*a^4*z^4 + 23*a^6*z^4 - 
   5*a^8*z^4 + 6*z^6 - 19*a^2*z^6 - 11*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 26954] -> -1 + a^(-2) - 2*a^2 + 4*a^4 + a^6 - 2*a^8 - 
   2*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 7*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 
   3*z^4 + (3*z^4)/a^2 - 12*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 26955] -> -5 + 2/a^2 + 4*a^2 + a^4 - a^8 - 
   10*z^2 + (5*z^2)/a^2 + a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 
   8*z^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 26956] -> 1 + a^(-4) - 2/a^2 + a^2 + a^6 - 
   a^8 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 26957] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 5*z^2 + (6*z^2)/a^6 - (16*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (2*z^4)/a^6 - (17*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 26958] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 5*z^2 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26959] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 9*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - 
   (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 
   z^6/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 26960] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   12*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^6 + (14*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26961] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (3*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 26962] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 
   6*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   (4*z^4)/a^4 - (12*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26963] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 11*z^2 - (5*z^2)/a^6 + 
   (10*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 14*z^4 - (7*z^4)/a^6 + (15*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26964] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 2*z^2 - z^2/a^8 + (3*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 26965] -> -a^(-14) + 3/a^12 - 3/a^10 - 
   2/a^8 + 4/a^6 - (4*z^2)/a^14 + (10*z^2)/a^12 - (5*z^2)/a^10 - 
   (7*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (16*z^4)/a^12 - (6*z^4)/a^10 - 
   (13*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (8*z^6)/a^10 - 
   (13*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 26966] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 26967] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 
   2*a^8 + 2*z^2 + z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 
   2*z^4 + (2*z^4)/a^2 - 12*a^2*z^4 - 2*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 10*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 26968] -> -2/a^12 + 5/a^10 - 5/a^8 + 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + z^2/a^12 + (10*z^2)/a^10 - (11*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (6*z^4)/a^10 - 
   (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 26969] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   a^(-4) + a^(-2) - z^2/a^14 + (5*z^2)/a^10 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 26970] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   9*z^2 + z^2/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (20*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 26971] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 6*a^4*z^2 + 16*a^6*z^2 + 
   9*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 7*a^4*z^4 + 21*a^6*z^4 + 
   14*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 14*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 26972] -> a^4 - 2*a^6 + 8*a^8 - 8*a^10 + 2*a^12 - 
   a^2*z^2 + a^4*z^2 + a^6*z^2 + 20*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 + 21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 26973] -> 
  -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 5*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (19*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (24*z^4)/a^6 - (27*z^4)/a^4 + (19*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 26974] -> 
  3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 6*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 26975] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   z^2/a^12 - (7*z^2)/a^10 + (2*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^4)/a^12 - (9*z^4)/a^10 + (7*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (7*z^6)/a^10 + (7*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 26976] -> a^2 + a^6 - a^8 - 2*z^2 + 5*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 + 
   4*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 26977] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 26978] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 2*z^2 + 
   2*a^2*z^2 + 14*a^4*z^2 - 19*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   7*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 26979] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 26980] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 14*z^2 - (4*z^2)/a^6 + (23*z^2)/a^4 - 
   (34*z^2)/a^2 + 24*z^4 - (8*z^4)/a^6 + (44*z^4)/a^4 - (70*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 26981] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + 
   a^2 - 5*z^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (13*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 26982] -> 
  2 - a^(-4) + 2/a^2 - 3*a^2 + a^6 - 4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 26983] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26984] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 26985] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   z^2 - z^2/a^2 + 14*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 11*a^2*z^4 - 20*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 26986] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 
   7*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 - (9*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - (19*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 26987] -> -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 26988] -> 
  -6 - 2/a^4 + 7/a^2 + 2*a^2 - a^4 + a^6 - 22*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 27*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 23*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26989] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^2 - a^4 + a^6 - 2*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 26990] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 
   11*z^2 - (6*z^2)/a^2 + 4*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 19*z^4 - 
   (9*z^4)/a^2 + 7*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 26991] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 17*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 26992] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   13*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 24*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 31*a^2*z^4 - 28*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26993] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   26*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 32*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 28*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 26994] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 
   19*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (25*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (30*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (10*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 26995] -> 5*a^2 - 7*a^4 + 4*a^6 - 2*a^8 + a^10 - 
   4*z^2 + 15*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 18*a^2*z^4 - 29*a^4*z^4 + 26*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 26996] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 14*a^2*z^2 - 27*a^4*z^2 + 
   23*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 16*a^2*z^4 - 34*a^4*z^4 + 
   26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 19*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 26997] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 12*z^2 + 
   (2*z^2)/a^2 + 27*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 33*a^2*z^4 - 27*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 26998] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 4*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 26999] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 27000] -> 
  6 + 3/a^4 - 7/a^2 - a^2 + 8*z^2 + (8*z^2)/a^4 - (20*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + (8*z^4)/a^4 - (21*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27001] -> 
  3 + a^(-6) - 3/a^2 - z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27002] -> 4 + a^(-6) - 3/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   3*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27003] -> 
  2 - a^2 - a^4 + a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 27004] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (15*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27005] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   13*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 27006] -> 
  a^(-2) - a^6 + a^8 - z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27007] -> 2 + a^(-6) - a^(-4) - a^(-2) - 5*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27008] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 13*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27009] -> 
  a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   21*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 + 2*z^4 + a^2*z^4 - 16*a^4*z^4 + 
   18*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 
   4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 27010] -> 3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 - z^2/a^4 + 
   3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27011] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   20*z^2 + (5*z^2)/a^6 - (18*z^2)/a^4 + (23*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (30*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (10*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27012] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27013] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 4*z^2 + 
   18*a^2*z^2 - 28*a^4*z^2 + 20*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 7*z^4 + 
   26*a^2*z^4 - 35*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 18*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27014] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 
   6*a^2*z^2 - 18*a^4*z^2 + 28*a^6*z^2 - 18*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   7*a^2*z^4 - 27*a^4*z^4 + 34*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 27015] -> 
  -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 15*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27016] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 17*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   24*a^2*z^2 - 18*a^4*z^2 + 4*a^6*z^2 - 21*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   33*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27017] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 27*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (20*z^4)/a^2 + 21*a^2*z^4 - 3*a^4*z^4 - 21*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 27018] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27019] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27020] -> 5*a^6 - 5*a^8 + a^10 - a^4*z^2 + 
   15*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - a^2*z^4 - 2*a^4*z^4 + 16*a^6*z^4 - 
   11*a^8*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 27021] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 
   12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 27022] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (11*z^2)/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (14*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27023] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 12*a^2*z^2 - 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 27024] -> 2 - a^(-2) + a^2 - a^4 + z^2 + z^2/a^6 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 27025] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - (10*z^2)/a^10 - (8*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (13*z^4)/a^12 - (12*z^4)/a^10 - 
   (16*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27026] -> -2/a^14 + 7/a^12 - 9/a^10 + 3/a^8 + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (16*z^2)/a^12 - (20*z^2)/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (20*z^4)/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27027] -> -5 + 2/a^2 + 6*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 
   15*z^2 + (5*z^2)/a^2 + 19*a^2*z^2 - 18*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   18*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27028] -> 
  2 + a^(-4) - 2/a^2 - a^2 + a^4 + a^6 - a^8 + 4*z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 27029] -> a^2 - a^4 + 2*a^6 - a^10 + 4*a^2*z^2 - 
   7*a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27030] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 + z^2/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (5*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 27031] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27032] -> 
  -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (18*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (22*z^4)/a^8 - 
   (13*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 27033] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27034] -> 1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 - 
   3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27035] -> 
  -1 + a^(-2) - a^2 + 2*a^4 + 2*a^6 - 2*a^8 - 5*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27036] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 
   3/a^2 + 2*z^2 - (4*z^2)/a^8 + (15*z^2)/a^6 - (17*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + (17*z^4)/a^6 - (14*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27037] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 11*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 13*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27038] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   5*z^2 - z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 6*z^4 - z^4/a^6 + (6*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 27039] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 6*z^2 - z^2/a^8 + (4*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 27040] -> 1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + z^2 + 
   z^2/a^2 - 7*a^2*z^2 + 7*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   (3*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27041] -> 2*a^4 - a^8 - z^2 + z^2/a^2 - a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 27042] -> a^(-12) - 3/a^10 + 3/a^6 - (3*z^2)/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + 
   (14*z^4)/a^12 - (4*z^4)/a^10 - (10*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (10*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - 
   (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 27043] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27044] -> 4 + 3/a^4 - 7/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + 
   (3*z^2)/a^6 + z^2/a^4 - (14*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (14*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 27045] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 - z^2/a^12 + 
   (9*z^2)/a^10 - (9*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (3*z^4)/a^12 + (7*z^4)/a^10 - (10*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 27046] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 + z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27047] -> a^4 - 3*a^6 + 10*a^8 - 9*a^10 + 2*a^12 - 
   a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 24*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 + 21*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 10*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 27048] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 - a^2*z^2 + a^4*z^2 + 8*a^6*z^2 + 4*a^8*z^2 - 
   6*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 + 
   3*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 27049] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 + z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (22*z^2)/a^4 + 
   (19*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - 
   (29*z^4)/a^4 + (20*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (18*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 27050] -> 3 - a^(-8) + 2/a^6 - a^(-4) - 
   a^(-2) - a^2 + 7*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27051] -> 2 - a^(-2) + a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 27052] -> 
  3*a^4 - 2*a^6 - 2*z^2 - z^2/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 
   (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 27053] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 27054] -> 
  1 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27055] -> 
  -2*a^2 + 9*a^4 - 8*a^6 + 2*a^8 - z^2 - a^2*z^2 + 17*a^4*z^2 - 18*a^6*z^2 + 
   6*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 9*a^4*z^4 - 22*a^6*z^4 + 8*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 2*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27056] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 2*z^2 + 7*a^2*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 + z^4 - z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 27057] -> 
  11 - 3/a^2 - 10*a^2 + 2*a^4 + a^6 + 28*z^2 - (7*z^2)/a^2 - 26*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 + 29*z^4 - (5*z^4)/a^2 - 29*a^2*z^4 - 17*a^4*z^4 + 
   11*a^6*z^4 + 13*z^6 - z^6/a^2 - 19*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 27058] -> 3 - a^(-4) + 2/a^2 - 5*a^2 + a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 13*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 27059] -> -2 + 6*a^2 - 3*a^4 - 9*z^2 + 
   z^2/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^4 - z^4/a^2 + 
   20*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 11*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 27060] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   6*z^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + 
   (21*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - (30*z^4)/a^4 + 
   (27*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27061] -> 
  -5 - 2/a^4 + 7/a^2 + a^6 - 8*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 7*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 - 5*z^4 - z^4/a^4 + (8*z^4)/a^2 - 12*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 27062] -> 
  -a^(-6) + 3/a^4 - a^(-2) - a^2 + a^6 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 27063] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   z^2/a^6 + z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 27064] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 27065] -> 3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 27066] -> a^(-2) + a^2 - 3*a^4 + 3*a^6 - 2*a^8 + 
   a^10 - 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 
   3*a^8*z^2 + (2*z^4)/a^2 + 2*a^2*z^4 + 3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 27067] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   7*z^2 + z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 27068] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27069] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 
   4*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 27070] -> 1 + z^2 - 2*a^4*z^2 + a^8*z^2 + 
   z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 27071] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27072] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + a^(-2) - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 27073] -> 5 + 3/a^4 - 6/a^2 - 2*a^2 + a^4 + 7*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 27074] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 27075] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 27076] -> a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27077] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27078] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27079] -> 
  -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27080] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 2*z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 + z^4/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27081] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - z^2/a^6 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 27082] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + 
   (7*z^2)/a^12 - (7*z^2)/a^10 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27083] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27084] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 12*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 10*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27085] -> 2*a^2 - a^4 - z^2 + z^2/a^6 - z^2/a^4 + 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27086] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^10 + 
   (3*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27087] -> 
  -2/a^14 + 7/a^12 - 10/a^10 + 5/a^8 + a^(-4) - (3*z^2)/a^14 + 
   (17*z^2)/a^12 - (22*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (20*z^4)/a^10 - (3*z^4)/a^8 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 27088] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27089] -> -5 + 2/a^2 + 6*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   16*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   19*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27090] -> 
  2 + a^(-4) - 2/a^2 - a^4 + 2*a^6 - a^8 + 5*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 27091] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27092] -> a^(-4) - a^(-2) + a^2 - 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 27093] -> -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (18*z^2)/a^8 - (20*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   (7*z^4)/a^10 + (20*z^4)/a^8 - (15*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27094] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27095] -> -5 + 2/a^2 + 6*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   17*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   25*z^4 + (6*z^4)/a^2 + 30*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27096] -> -a^(-4) + 2/a^2 - z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (9*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27097] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27098] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   z^2/a^16 - (23*z^2)/a^14 + (22*z^2)/a^12 + (16*z^2)/a^10 - (6*z^4)/a^16 - 
   (16*z^4)/a^14 + (46*z^4)/a^12 + (29*z^4)/a^10 - (5*z^6)/a^16 + 
   (3*z^6)/a^14 + (40*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + 
   (15*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 27099] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) - z^2/a^16 - (9*z^2)/a^14 + (6*z^2)/a^12 + (14*z^2)/a^10 + 
   (5*z^2)/a^8 - (3*z^4)/a^16 - (4*z^4)/a^14 + (16*z^4)/a^12 + 
   (24*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 27100] -> 2/a^16 - 6/a^14 + a^(-12) + 
   4/a^10 - (13*z^2)/a^14 + (7*z^2)/a^12 + (18*z^2)/a^10 + (3*z^2)/a^8 - 
   (3*z^4)/a^16 - (6*z^4)/a^14 + (18*z^4)/a^12 + (27*z^4)/a^10 + 
   (7*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (14*z^6)/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 27101] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - z^2/a^16 - (5*z^2)/a^14 + z^2/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + (7*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 27102] -> 
  -a^(-18) + 5/a^16 - 9/a^14 + 2/a^12 + 4/a^10 - z^2/a^18 + (8*z^2)/a^16 - 
   (29*z^2)/a^14 + (17*z^2)/a^12 + (20*z^2)/a^10 - z^4/a^16 - (24*z^4)/a^14 + 
   (38*z^4)/a^12 + (33*z^4)/a^10 - (4*z^6)/a^16 - (2*z^6)/a^14 + 
   (35*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (14*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 27103] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (2*z^2)/a^16 - (2*z^2)/a^14 + (9*z^2)/a^10 + (9*z^2)/a^8 - (3*z^4)/a^16 + 
   z^4/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + 
   (3*z^6)/a^14 + (8*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 27104] -> 
  -a^(-18) + 5/a^16 - 8/a^14 + 5/a^10 + (3*z^2)/a^16 - (15*z^2)/a^14 + 
   (3*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + 
   (13*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 27105] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^16 - (2*z^2)/a^14 - z^2/a^12 + 
   (7*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + (5*z^4)/a^12 + 
   (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 27106] -> 
  -2/a^14 + 2/a^12 - a^(-10) + a^(-8) + a^(-6) - (2*z^2)/a^16 - z^2/a^14 + 
   (5*z^2)/a^12 + z^2/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^16 + 
   (2*z^4)/a^14 + (6*z^4)/a^12 + (5*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^14 + (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 27107] -> -a^(-14) + a^(-8) + a^(-6) - z^2/a^16 - 
   z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + z^4/a^14 + (3*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 27108] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 19*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27109] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 
   7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27110] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   17*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 24*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 
   21*z^4 - z^4/a^4 + (9*z^4)/a^2 + 33*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27111] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 - z^2/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27112] -> -3 + 2/a^2 + 2*a^2 - 14*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27113] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27114] -> a^(-2) - a^4 + a^6 - 6*z^2 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27115] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 
   3*a^2 - 23*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (25*z^2)/a^2 + 8*a^2*z^2 - 
   a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27116] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   18*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 24*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 26*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27117] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27118] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 
   14*a^2*z^2 - 19*a^4*z^2 + 9*a^6*z^2 - 6*z^4 + 17*a^2*z^4 - 15*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27119] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 27120] -> 4 - 6*a^2 + 3*a^4 + 7*z^2 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 20*a^2*z^2 + 7*a^4*z^2 + 11*z^4 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 - 24*a^2*z^4 + 5*a^4*z^4 + 12*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 - 12*a^2*z^6 + a^4*z^6 + 6*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 27121] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 5*z^2 - (4*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27122] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27123] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 8*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27124] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27125] -> 
  -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 27126] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27127] -> -2 + 2/a^2 + a^4 - 12*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 27128] -> 
  -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 27129] -> 
  -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (4*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27130] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   5*z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (5*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27131] -> a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + 
   a^(-6) - z^2/a^14 - (5*z^2)/a^12 + (10*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 - (2*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 + z^6/a^10 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27132] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - 
   z^2/a^14 + (7*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27133] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 27134] -> 
  -a^(-12) + 2/a^6 - z^2/a^14 + (2*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + (2*z^4)/a^12 + (2*z^4)/a^10 + z^4/a^8 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27135] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27136] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27137] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   11*z^4 - z^4/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 27138] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27139] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (12*z^4)/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27140] -> -2/a^6 + 3/a^4 - 2*z^2 + (3*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27141] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27142] -> -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 24*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27143] -> 
  -2/a^6 + 3/a^4 + z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27144] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27145] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 27146] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27147] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27148] -> -3 - 2/a^4 + 5/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27149] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 6*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 27150] -> a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27151] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 27152] -> -a^(-4) + 2/a^2 - z^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27153] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27154] -> 
  -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 + z^2 - (3*z^2)/a^10 + 
   (10*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (10*z^4)/a^8 - (5*z^4)/a^6 - (15*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27155] -> 
  -a^(-10) - a^(-8) + 4/a^6 - 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27156] -> 
  -a^(-12) + 3/a^8 - 2/a^6 - a^(-4) + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 + 
   (5*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 27157] -> 
  -a^(-12) + a^(-10) + a^(-2) + z^2 - z^2/a^12 + (4*z^2)/a^10 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 - z^6/a^6 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 27158] -> 
  -4/a^8 + 6/a^6 - a^(-4) + z^2 - (2*z^2)/a^10 - z^2/a^8 + (13*z^2)/a^6 - 
   (4*z^2)/a^4 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27159] -> 
  -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) + z^2 - z^2/a^12 + (6*z^2)/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 27160] -> -4/a^8 + 6/a^6 - a^(-4) + z^2 - 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27161] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + z^2 + z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27162] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^2 + z^4 - z^4/a^10 + z^4/a^8 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27163] -> a^(-4) - a^(-2) + a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 27164] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 18*z^2 + 
   (5*z^2)/a^2 + 25*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 26*z^4 + 
   (7*z^4)/a^2 + 31*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 
   17*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27165] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 - 
   a^2*z^2 + a^4*z^2 + 15*a^6*z^2 - 17*a^8*z^2 + 6*a^10*z^2 - 2*a^2*z^4 + 
   17*a^6*z^4 - 14*a^8*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 27166] -> 2 - a^(-2) + a^2 - a^4 - z^2 + z^2/a^6 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27167] -> 5 + a^(-4) - 4/a^2 - a^4 + 7*z^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + z^4 + (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27168] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27169] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27170] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27171] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 27172] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   4*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 5*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27173] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 21*a^2*z^2 - 
   17*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27174] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 27175] -> -5 - 3/a^6 + 2/a^4 + 6/a^2 + a^2 - 16*z^2 - 
   (7*z^2)/a^6 + (12*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (5*z^4)/a^6 + (19*z^4)/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (6*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27176] -> 
  -3 - a^(-8) - a^(-6) + 3/a^4 + 2/a^2 + a^2 - 6*z^2 - (2*z^2)/a^8 + 
   z^2/a^6 + (10*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 27177] -> -1 - 2/a^8 + a^(-6) + 4/a^4 - 2/a^2 + a^2 - 
   2*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27178] -> 
  -9 - 4/a^6 + 4/a^4 + 7/a^2 + 3*a^2 - 23*z^2 - (8*z^2)/a^6 + (18*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 25*z^4 - (5*z^4)/a^6 + (22*z^4)/a^4 - z^4/a^2 + 
   10*a^2*z^4 - 16*z^6 - z^6/a^6 + (11*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27179] -> -1 - a^(-10) + 2/a^6 + a^2 - z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 27180] -> 
  -5 - 3/a^6 + 2/a^4 + 6/a^2 + a^2 - 14*z^2 - (7*z^2)/a^6 + (10*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - (9*z^4)/a^6 + (18*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27181] -> 
  -3 - a^(-8) - a^(-6) + 3/a^4 + 2/a^2 + a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (12*z^4)/a^4 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 27182] -> 1 + a^(-8) - 2/a^6 + a^(-4) + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + z^2/a^2 + z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27183] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + 4*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 4*a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 27184] -> 2 + a^(-4) - 2/a^2 - z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 27185] -> 2/a^8 - 13/a^6 + 19/a^4 - 
   7/a^2 + (9*z^2)/a^8 - (48*z^2)/a^6 + (74*z^2)/a^4 - (27*z^2)/a^2 + 
   (12*z^4)/a^8 - (71*z^4)/a^6 + (116*z^4)/a^4 - (38*z^4)/a^2 + (6*z^6)/a^8 - 
   (49*z^6)/a^6 + (94*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + 
   (42*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 27186] -> -2 + a^(-8) - 7/a^6 + 8/a^4 + 
   a^(-2) - 8*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + (24*z^2)/a^4 + (8*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (24*z^4)/a^6 + (27*z^4)/a^4 + (17*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27187] -> -4 - a^(-6) - 3/a^4 + 9/a^2 - 12*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + (27*z^2)/a^2 - 13*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (2*z^4)/a^4 + (33*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (8*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27188] -> 4 - 2/a^6 + 3/a^4 - 2/a^2 - 2*a^2 + 10*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 
   10*z^4 + z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 
   5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 27189] -> 
  3*a^2 - 3*a^4 + a^6 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27190] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 
   z^4/a^10 + z^4/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (5*z^6)/a^8 - z^6/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27191] -> -3 + 6*a^2 - 2*a^6 - 8*z^2 + z^2/a^2 + 
   11*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 + 
   15*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27192] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27193] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 - 
   3*z^2 + 5*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 27194] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27195] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - z^2 - 
   8*a^2*z^2 + 28*a^4*z^2 - 13*a^6*z^2 + 6*z^4 - 33*a^2*z^4 + 63*a^4*z^4 - 
   22*a^6*z^4 + 5*z^6 - 34*a^2*z^6 + 63*a^4*z^6 - 18*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 27196] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 
   3*a^6 + 2*z^2 - z^2/a^2 - 6*a^2*z^2 + 18*a^4*z^2 - 8*a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 24*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 27197] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + z^2/a^2 + 14*a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 + 15*a^4*z^4 - 8*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 10*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27198] -> 1 - a^(-2) + 2*a^2 - a^6 - z^2 - z^2/a^2 + 
   6*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 27199] -> 
  3 - 12*a^2 + 18*a^4 - 8*a^6 + 17*z^2 - 56*a^2*z^2 + 65*a^4*z^2 - 
   20*a^6*z^2 + 32*z^4 - 99*a^2*z^4 + 88*a^4*z^4 - 18*a^6*z^4 + 24*z^6 - 
   87*a^2*z^6 + 56*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 41*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 27200] -> -2 + a^(-2) - 2*a^2 + 9*a^4 - 5*a^6 - 
   7*z^2 + (5*z^2)/a^2 - 11*a^2*z^2 + 27*a^4*z^2 - 9*a^6*z^2 - 14*z^4 + 
   (9*z^4)/a^2 - 18*a^2*z^4 + 28*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 27201] -> 
  -7 + 2/a^2 + 8*a^2 - 2*a^6 - 24*z^2 + (9*z^2)/a^2 + 16*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 30*z^4 + (12*z^4)/a^2 + 6*a^2*z^4 + 16*a^4*z^4 - 
   4*a^6*z^4 - 20*z^6 + (6*z^6)/a^2 - 6*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 27202] -> 3 + a^(-4) - 3/a^2 - a^2 + 3*a^4 - 2*a^6 + 
   6*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 
   z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 27203] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + 
   a^6 - 12*z^2 - z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 27204] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27205] -> 6*a^6 - 7*a^8 + 2*a^10 - 4*a^4*z^2 + 
   21*a^6*z^2 - 14*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 8*a^4*z^4 + 25*a^6*z^4 - 
   7*a^8*z^4 - 9*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 16*a^6*z^6 + 3*a^8*z^6 - 
   8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 27206] -> 
  3*a^4 - 3*a^6 + 3*a^8 - 3*a^10 + a^12 - 2*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 + 
   8*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + 
   6*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 27207] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   24*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 28*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - 30*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 30*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27208] -> -3 + 2/a^2 + a^2 + 3*a^4 - 3*a^6 + a^8 - 
   8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27209] -> 6*a^6 - 7*a^8 + 2*a^10 - 2*a^4*z^2 + 
   18*a^6*z^2 - 15*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   19*a^6*z^4 - 12*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 27210] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   21*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 29*a^2*z^2 - 19*a^4*z^2 + 4*a^6*z^2 - 
   24*z^4 - z^4/a^4 + (9*z^4)/a^2 + 35*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27211] -> 
  3 - 11*a^2 + 16*a^4 - 7*a^6 + 14*z^2 - 45*a^2*z^2 + 51*a^4*z^2 - 
   15*a^6*z^2 + 24*z^4 - 76*a^2*z^4 + 67*a^4*z^4 - 14*a^6*z^4 + 19*z^6 - 
   68*a^2*z^6 + 45*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 27212] -> -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 9*z^2 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 - 16*z^4 + (8*z^4)/a^2 - 
   8*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 27213] -> -6 + 2/a^2 + 6*a^2 + a^4 - 
   2*a^6 - 19*z^2 + (7*z^2)/a^2 + 13*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 
   24*z^4 + (9*z^4)/a^2 + 7*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 27214] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 4*z^2 + 9*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 
   3*a^8*z^2 - 6*z^4 + 13*a^2*z^4 + 4*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27215] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 27216] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (16*z^2)/a^4 + (22*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 10*z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (23*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 27217] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 28*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 33*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (22*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 27218] -> 
  5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 17*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 
   a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 18*a^6*z^4 - 10*a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 10*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 27219] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27220] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (24*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 27221] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27222] -> 
  2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 - a^2*z^2 + 5*a^4*z^2 + 3*a^8*z^2 - 
   4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 3*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 27223] -> 
  -1 + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 27224] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (13*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (19*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27225] -> 
  3 - 10*a^2 + 14*a^4 - 6*a^6 + 11*z^2 - 37*a^2*z^2 + 43*a^4*z^2 - 
   13*a^6*z^2 + 21*z^4 - 66*a^2*z^4 + 60*a^4*z^4 - 13*a^6*z^4 + 18*z^6 - 
   63*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 27226] -> -1 + a^(-2) - 3*a^2 + 8*a^4 - 4*a^6 - z^2 + 
   (2*z^2)/a^2 - 12*a^2*z^2 + 20*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 
   15*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 27227] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 
   33*z^2 - (11*z^2)/a^2 - 31*a^2*z^2 + 9*a^4*z^2 + 65*z^4 - (21*z^4)/a^2 - 
   54*a^2*z^4 + 12*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 42*a^2*z^6 + 6*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 27228] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 18*z^2 - (7*z^2)/a^2 - 13*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 24*z^4 - (9*z^4)/a^2 - 7*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 27229] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - (4*z^2)/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 
   4*a^4*z^2 + 5*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 16*a^2*z^4 + 4*a^4*z^4 + 
   8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 27230] -> a^(-2) - a^2 + a^4 + 2*z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27231] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 9*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 
   3*z^4 + 3*a^2*z^4 + 11*a^4*z^4 - 13*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   6*a^2*z^6 + 8*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27232] -> 4*a^6 - 3*a^8 - 2*a^4*z^2 + 14*a^6*z^2 - 
   4*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 5*a^4*z^4 + 16*a^6*z^4 + a^8*z^4 - 
   10*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 + 5*a^8*z^6 - 
   8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 27233] -> 
  2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 - a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 
   11*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 + 
   8*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 27234] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (8*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27235] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (11*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 27236] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 11*z^2 - 33*a^2*z^2 + 31*a^4*z^2 - 9*a^6*z^2 + 
   21*z^4 - 65*a^2*z^4 + 54*a^4*z^4 - 12*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 
   42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 27237] -> 
  1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 + (2*z^2)/a^2 - 15*a^2*z^2 + 
   17*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 19*a^4*z^4 - 
   4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 27238] -> 3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 6*z^2 - 
   13*a^2*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 18*a^2*z^4 - 5*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 27239] -> 1 + a^(-2) - 3*a^2 + a^4 + 2*a^6 - a^8 + 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27240] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + z^4 + (9*z^4)/a^4 - 
   (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27241] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (10*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27242] -> 
  2*a^2 - a^4 - z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27243] -> 
  -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27244] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   17*z^2 + (6*z^2)/a^4 - (18*z^2)/a^2 - 5*a^2*z^2 + 34*z^4 + (13*z^4)/a^4 - 
   (40*z^4)/a^2 - 8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 
   5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 27245] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27246] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 27247] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27248] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27249] -> 
  -a^(-8) + 2/a^4 + (5*z^2)/a^8 - (16*z^2)/a^6 + (21*z^2)/a^4 - (6*z^2)/a^2 + 
   (17*z^4)/a^8 - (50*z^4)/a^6 + (46*z^4)/a^4 - (11*z^4)/a^2 + (17*z^6)/a^8 - 
   (57*z^6)/a^6 + (40*z^6)/a^4 - (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + 
   (15*z^8)/a^4 - z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - 
   z^12/a^6, Knot[15, Alternating, 27250] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 - 
   z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + (15*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   (8*z^4)/a^8 - (21*z^4)/a^6 + (9*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27251] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (12*z^4)/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27252] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27253] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 5*z^2 + 
   (5*z^2)/a^8 - (13*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (15*z^4)/a^6 - z^4/a^4 + (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27254] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + 
   z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 27255] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   8*z^2 + z^2/a^4 - (7*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 4*z^4 + 
   (5*z^4)/a^4 - (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27256] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 8*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27257] -> 
  -4 - 2/a^6 + a^(-4) + 5/a^2 + a^2 - 13*z^2 - (6*z^2)/a^6 + (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - (9*z^4)/a^6 + (17*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27258] -> 
  -2 - a^(-8) + 2/a^4 + a^(-2) + a^2 - 6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^4 + 
   2*a^2*z^2 - 6*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 27259] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27260] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^10 + (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27261] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - (12*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27262] -> -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 
   7*a^4*z^2 + 15*a^6*z^2 + 17*a^8*z^2 - 23*a^10*z^2 + 5*a^12*z^2 - 
   9*a^4*z^4 + 14*a^6*z^4 + 39*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 33*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 27263] -> -a^2 + 3*a^4 + a^8 - 3*a^10 + a^12 - 
   3*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 + 10*a^8*z^2 - 11*a^10*z^2 + 
   2*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 + 14*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 27264] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 3*z^4 + 11*a^2*z^4 - 3*a^4*z^4 - 
   6*a^6*z^4 + 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 9*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 27265] -> -2*a^4 + 8*a^6 - 4*a^8 - 
   2*a^10 + a^12 - 8*a^4*z^2 + 22*a^6*z^2 + 2*a^8*z^2 - 11*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 - 8*a^4*z^4 + 25*a^6*z^4 + 12*a^8*z^4 - 12*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 15*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 27266] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 46*z^2 + (7*z^2)/a^4 - (33*z^2)/a^2 - 
   17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 27267] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 27268] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 16*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 
   5*a^4*z^2 - 2*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 + 4*a^4*z^4 - 
   5*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27269] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - z^4 + z^4/a^2 - 6*a^2*z^4 + 
   17*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27270] -> 2/a^8 - 12/a^6 + 17/a^4 - 6/a^2 + 
   (7*z^2)/a^8 - (38*z^2)/a^6 + (59*z^2)/a^4 - (21*z^2)/a^2 + (9*z^4)/a^8 - 
   (54*z^4)/a^6 + (89*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 27271] -> -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + (14*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (15*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27272] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27273] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 19*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 27274] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   7*a^2*z^2 + 17*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 27275] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 24*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   26*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (32*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27276] -> 
  1 + a^(-6) - 6/a^4 + 7/a^2 - 2*a^2 + 3*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (20*z^2)/a^2 - 5*a^2*z^2 + 9*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (22*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 27277] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - 
   (15*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 27278] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + 
   a^6 - 16*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 27279] -> 1 + a^(-10) - 5/a^8 + 7/a^6 - 3/a^4 + z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 - 
   2*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (24*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (16*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27280] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 9*z^2 - (2*z^2)/a^6 + (14*z^2)/a^4 - 
   (21*z^2)/a^2 + 16*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - (46*z^4)/a^2 + 
   14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 27281] -> 9 - 4/a^2 - 4*a^2 + 30*z^2 + 
   (2*z^2)/a^4 - (16*z^2)/a^2 - 12*a^2*z^2 + 51*z^4 + (5*z^4)/a^4 - 
   (29*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 27282] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 18*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (19*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 25*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (31*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 27283] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + 
   a^(-2) - 4*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 + (5*z^2)/a^2 - 
   6*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + (11*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27284] -> -2*a^4 + 8*a^6 - 4*a^8 - 2*a^10 + a^12 - 
   7*a^4*z^2 + 21*a^6*z^2 + a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   7*a^4*z^4 + 23*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 14*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 27285] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + 
   a^2 - 17*z^2 - z^2/a^8 + (6*z^2)/a^6 - (19*z^2)/a^4 + (27*z^2)/a^2 + 
   4*a^2*z^2 - 24*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (33*z^4)/a^2 + 
   6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 27286] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (25*z^2)/a^4 + (22*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - (31*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27287] -> -3 + 7*a^2 - 2*a^4 - a^6 - 8*z^2 + z^2/a^2 + 
   13*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 
   11*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27288] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27289] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27290] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 10*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 27291] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 3*a^2 - 2*a^4 + a^6 - 10*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 27292] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 6*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (15*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27293] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 22*z^2 + 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (26*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   25*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (33*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27294] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 27295] -> 
  1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 27296] -> 
  a^(-4) - a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 27297] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 + 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 27298] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27299] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + 
   (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27300] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 37*z^2 + 
   (9*z^2)/a^4 - (31*z^2)/a^2 - 12*a^2*z^2 + 58*z^4 + (20*z^4)/a^4 - 
   (62*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (62*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 27301] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 8*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + (7*z^4)/a^6 - (15*z^4)/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - 
   (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 27302] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27303] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27304] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 5*z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27305] -> 
  -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - 6*z^2 + 14*a^2*z^2 - 2*a^4*z^2 - 
   11*a^6*z^2 + 5*a^8*z^2 - 9*z^4 + 19*a^2*z^4 + 5*a^4*z^4 - 18*a^6*z^4 + 
   4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 9*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27306] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   21*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 - 27*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 28*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27307] -> 6 - 3/a^2 - a^2 - a^4 + 9*z^2 + 
   (5*z^2)/a^4 - (13*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + (9*z^4)/a^4 - 
   (19*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27308] -> 
  4 - a^(-4) - 2*a^2 + 8*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27309] -> 
  3*a^2 - 2*a^4 - a^8 + a^10 - 2*z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 27310] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   3*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 27311] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + 
   a^8 - 6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 27312] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 
   25*z^2 + (6*z^2)/a^4 - (21*z^2)/a^2 - 8*a^2*z^2 + 39*z^4 + (13*z^4)/a^4 - 
   (41*z^4)/a^2 - 9*a^2*z^4 + 32*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 
   5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 27313] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (12*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + (9*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27314] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27315] -> 
  8 - 2/a^2 - 8*a^2 + 3*a^4 + 41*z^2 - (14*z^2)/a^2 - 39*a^2*z^2 + 
   11*a^4*z^2 + 75*z^4 - (24*z^4)/a^2 - 61*a^2*z^4 + 13*a^4*z^4 + 68*z^6 - 
   (19*z^6)/a^2 - 44*a^2*z^6 + 6*a^4*z^6 + 34*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 27316] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 15*a^2*z^2 + 5*a^4*z^2 + 9*z^4 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - 18*a^2*z^4 + 4*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 27317] -> 
  5 - a^(-2) - 4*a^2 + a^6 + 15*z^2 - (7*z^2)/a^2 - 5*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 + 21*z^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 27318] -> a^(-2) - a^4 + a^6 + 2*z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27319] -> -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 5*z^2 + 
   10*a^2*z^2 + 4*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 7*z^4 + 13*a^2*z^4 + 
   11*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 11*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 27320] -> 
  4 - 2/a^2 - a^4 + 7*z^2 + (4*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27321] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   27*z^2 + z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   33*z^4 + z^4/a^6 - (7*z^4)/a^4 + (22*z^4)/a^2 + 19*a^2*z^4 - 3*a^4*z^4 - 
   20*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 27322] -> 
  2 - 3*a^4 + 2*a^6 + 4*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 + 8*z^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 27323] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27324] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - z^2 + 
   9*a^4*z^2 - 9*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^4*z^4 - 
   5*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 27325] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 4*z^2 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   11*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 7*a^2*z^4 + 12*a^4*z^4 - 
   3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 27326] -> a^(-2) - a^2 + 2*a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27327] -> 5 - 2/a^2 - 2*a^2 + 3*z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27328] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27329] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   z^4/a^4 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 27330] -> -a^(-8) - a^(-6) + 4/a^4 - 
   a^(-2) - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 
   3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27331] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27332] -> 2*a^2 - a^4 - 5*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27333] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 10*z^4 + (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 27334] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27335] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27336] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 27337] -> 3 - 8*a^2 + 10*a^4 - 4*a^6 + 
   11*z^2 - 32*a^2*z^2 + 31*a^4*z^2 - 8*a^6*z^2 + 17*z^4 - 54*a^2*z^4 + 
   43*a^4*z^4 - 9*a^6*z^4 + 14*z^6 - 50*a^2*z^6 + 33*a^4*z^6 - 5*a^6*z^6 + 
   6*z^8 - 27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 27338] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 7*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27339] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27340] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 - z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 - 3*z^4 + (5*z^4)/a^8 - 
   (12*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27341] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27342] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   24*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 30*z^4 + z^4/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 27343] -> 
  -2 + 6*a^2 - 3*a^4 - 10*z^2 + (2*z^2)/a^4 - z^2/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 14*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27344] -> -1 + a^(-2) + 3*a^6 - 2*a^8 - 6*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27345] -> 
  -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 9*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27346] -> -1 + a^(-2) - 2*a^2 + 6*a^4 - 3*a^6 - 
   5*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - 10*z^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 27347] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 26*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   22*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 33*z^4 - (5*z^4)/a^4 + (22*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27348] -> 
  -5 + 2/a^2 + 7*a^2 - 5*a^4 + 3*a^6 - a^8 - 18*z^2 + (5*z^2)/a^2 + 
   24*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 
   31*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27349] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + (2*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27350] -> -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 
   12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27351] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   13*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27352] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 3*a^4 + 3*a^6 - a^8 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 9*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 12*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 27353] -> -6 + a^(-6) - 3/a^4 + 5/a^2 + 6*a^2 - 
   2*a^4 - 24*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 31*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 27354] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27355] -> 
  3 - a^(-4) - a^4 + 4*z^2 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27356] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (11*z^4)/a^10 + 
   (7*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27357] -> 5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27358] -> 
  3 - a^(-4) - a^4 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27359] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   z^2/a^4 + (8*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27360] -> 
  -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 10*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27361] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (5*z^2)/a^10 + (8*z^2)/a^8 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (16*z^4)/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27362] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (5*z^2)/a^12 - (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27363] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27364] -> -2 - 4/a^6 + 7/a^4 - a^(-2) + a^2 - 8*z^2 - 
   (7*z^2)/a^6 + (17*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 12*z^4 - (7*z^4)/a^6 + 
   (18*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27365] -> 
  1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + 2*z^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27366] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (6*z^2)/a^10 - (15*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (18*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27367] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (15*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27368] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^8 + z^4/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27369] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + (2*z^2)/a^16 - 
   (11*z^2)/a^14 - (3*z^2)/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (11*z^4)/a^14 + (12*z^4)/a^12 + (29*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 27370] -> 
  1 - 3/a^8 + 6/a^6 - 3/a^4 + 2*z^2 - (2*z^2)/a^10 - z^2/a^8 + (13*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (11*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27371] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + z^4 - z^4/a^10 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27372] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) - z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27373] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 8*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 2*a^4*z^4 - 
   10*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 27374] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 
   43*z^2 + (7*z^2)/a^4 - (32*z^2)/a^2 - 16*a^2*z^2 + 75*z^4 + (9*z^4)/a^4 - 
   (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 27375] -> 
  -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 7*a^4*z^2 + 15*a^6*z^2 + 
   16*a^8*z^2 - 20*a^10*z^2 + 4*a^12*z^2 - 9*a^4*z^4 + 14*a^6*z^4 + 
   39*a^8*z^4 - 29*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   33*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 27376] -> 
  -a^2 + 3*a^4 - a^6 + 3*a^8 - 4*a^10 + a^12 - 3*a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 + 13*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   6*a^6*z^4 + 15*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 27377] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 27378] -> 
  -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 16*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 
   4*a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27379] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 27380] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 
   z^4/a^2 + 12*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 27381] -> 2/a^8 - 11/a^6 + 15/a^4 - 5/a^2 + 
   (5*z^2)/a^8 - (31*z^2)/a^6 + (50*z^2)/a^4 - (18*z^2)/a^2 + (8*z^4)/a^8 - 
   (47*z^4)/a^6 + (79*z^4)/a^4 - (26*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 27382] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 4*z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (21*z^2)/a^4 + z^2/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (22*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27383] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   17*z^2 - z^2/a^4 + (6*z^2)/a^2 + 26*a^2*z^2 - 19*a^4*z^2 + 5*a^6*z^2 - 
   22*z^4 - z^4/a^4 + (8*z^4)/a^2 + 30*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27384] -> 
  -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27385] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 21*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (17*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27386] -> 3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 27387] -> 3*a^4 - 2*a^6 + z^2 - z^2/a^2 - 3*a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 16*a^4*z^4 - 
   6*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27388] -> -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 
   7*a^4*z^2 + 19*a^6*z^2 + 6*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   7*a^4*z^4 + 22*a^6*z^4 + 14*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 14*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 27389] -> 1 + a^(-4) - a^(-2) - a^2 + 
   2*a^4 - 2*a^6 + a^8 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 27390] -> -3 + 3/a^6 - 8/a^4 + 8/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (31*z^4)/a^4 + (25*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 27391] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   19*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 26*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 
   22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 33*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27392] -> 
  -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 27393] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 
   2/a^2 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (12*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27394] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27395] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + (4*z^2)/a^4 - (10*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (8*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27396] -> -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 27397] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27398] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 27399] -> 
  -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27400] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 27401] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 - (21*z^2)/a^8 + (25*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (27*z^4)/a^8 + 
   (29*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (17*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 27402] -> 
  1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 + z^2 - z^2/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27403] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 - z^2 - 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^6*z^2 + (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 27404] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   2*z^2 - z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 27405] -> 
  9 - 2/a^2 - 10*a^2 + 4*a^4 + 52*z^2 - (17*z^2)/a^2 - 53*a^2*z^2 + 
   16*a^4*z^2 + 98*z^4 - (32*z^4)/a^2 - 82*a^2*z^4 + 17*a^4*z^4 + 87*z^6 - 
   (24*z^6)/a^2 - 55*a^2*z^6 + 7*a^4*z^6 + 41*z^8 - (8*z^8)/a^2 - 
   17*a^2*z^8 + a^4*z^8 + 10*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 27406] -> 6 - a^(-2) - 6*a^2 + a^4 + a^6 + 24*z^2 - 
   (10*z^2)/a^2 - 14*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 32*z^4 - 
   (13*z^4)/a^2 - 4*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 21*z^6 - (6*z^6)/a^2 + 
   7*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 27407] -> 
  -a^(-8) + 2/a^4 - 4*z^2 + z^2/a^8 - (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27408] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 7*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 + 13*z^4 - (8*z^4)/a^2 + 
   12*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 27409] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27410] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 5*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 27411] -> 
  4 - 5*a^2 + 2*a^4 - a^6 + a^8 + 9*z^2 - (4*z^2)/a^2 - 9*a^2*z^2 + 
   3*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 9*z^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 + 5*z^6 - z^6/a^2 + 3*a^2*z^6 + 
   4*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 27412] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 12*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 27413] -> 
  -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (8*z^4)/a^6 - 
   (15*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27414] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27415] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   15*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27416] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 + (7*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + 
   (12*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 27417] -> -2 - a^(-8) + 5/a^6 - 8/a^4 + 
   6/a^2 + a^2 - 9*z^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - (25*z^2)/a^4 + 
   (18*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (29*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (17*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 27418] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + 
   a^6 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 27419] -> 
  -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27420] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27421] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 
   6*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 27422] -> -1 + a^(-4) + 2*a^4 - 2*a^6 + a^8 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 2*a^4*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 27423] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 
   4*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 + z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 27424] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27425] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27426] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 - z^4/a^6 + (10*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 27427] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 27428] -> 
  -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (24*z^2)/a^4 + (24*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (30*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 27429] -> 
  -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 5*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 27430] -> 
  -1 + a^(-4) + a^2 - a^6 + a^8 - 3*z^2 - z^2/a^6 + a^2*z^2 - 3*a^6*z^2 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[15, Alternating, 27431] -> 5 + a^(-4) - 2/a^2 - 6*a^2 + 
   3*a^4 + 8*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 14*a^2*z^2 + 
   4*a^4*z^2 + 8*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - 10*a^2*z^4 + 
   a^4*z^4 + 5*z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 27432] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 - (2*z^2)/a^6 + z^2/a^4 - 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 27433] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - z^2 - 
   z^2/a^6 - 5*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 27434] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27435] -> a^(-4) - a^2 + a^4 - a^6 + a^8 - z^2/a^6 - 
   z^2/a^2 - 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4, Knot[15, Alternating, 27436] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 3*z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 27437] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 2*z^2 - (3*z^2)/a^2 - 4*a^4*z^2 + 
   a^6*z^2 + 5*z^4 - z^4/a^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27438] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27439] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - 
   a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 27440] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 - 5*z^2 + z^2/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27441] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 5*z^4 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27442] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27443] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 19*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 27444] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (16*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27445] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + z^2/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27446] -> 
  6 + 3/a^4 - 7/a^2 - a^2 + 30*z^2 + (11*z^2)/a^4 - (34*z^2)/a^2 - 
   9*a^2*z^2 + 54*z^4 + (21*z^4)/a^4 - (65*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 27447] -> 7 + 3/a^4 - 7/a^2 - 3*a^2 + a^4 + 14*z^2 + 
   (7*z^2)/a^4 - (21*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 + (9*z^4)/a^4 - 
   (24*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27448] -> 
  a^(-6) - a^(-4) + a^2 + 5*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 
   3*a^2*z^2 + 14*z^4 + (7*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 27449] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 27450] -> 5*a^2 - 8*a^4 + 6*a^6 - 3*a^8 + a^10 - 
   4*z^2 + 16*a^2*z^2 - 26*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   6*z^4 + 24*a^2*z^4 - 32*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27451] -> a^(-10) - a^(-8) - 2/a^6 + 
   2/a^4 + a^(-2) + (2*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27452] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27453] -> 
  4 + 3/a^4 - 6/a^2 + 28*z^2 + (12*z^2)/a^4 - (35*z^2)/a^2 - 8*a^2*z^2 + 
   53*z^4 + (21*z^4)/a^4 - (66*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 27454] -> 1 + a^(-6) - 2/a^2 + a^2 + 6*z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 14*z^4 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 27455] -> 5 + 3/a^4 - 6/a^2 - 2*a^2 + a^4 + 11*z^2 + 
   (7*z^2)/a^4 - (20*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 + (9*z^4)/a^4 - 
   (24*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27456] -> 
  2 + a^(-6) - 2/a^2 - a^2 + a^4 + 5*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27457] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - (4*z^2)/a^14 + (15*z^2)/a^12 - 
   (20*z^2)/a^10 + (7*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (27*z^4)/a^12 - 
   (35*z^4)/a^10 + (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (31*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 27458] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27459] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27460] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   4*z^2 + z^2/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (4*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27461] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27462] -> a^(-10) - 4/a^6 + 3/a^4 + a^(-2) + 
   z^2/a^10 + (2*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27463] -> a^(-10) - a^(-8) - 2/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 - z^2/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27464] -> 
  2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (13*z^2)/a^10 + (9*z^2)/a^8 + (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (12*z^4)/a^10 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 27465] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 27466] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   25*z^4 + (9*z^4)/a^4 - (26*z^4)/a^2 - 7*a^2*z^4 + 29*z^6 + (12*z^6)/a^4 - 
   (38*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 27467] -> 2 - 2*a^2 + a^4 + 8*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + (4*z^6)/a^4 - (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27468] -> 3 - 4*a^2 + 2*a^4 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27469] -> 
  -a^(-8) + 2/a^4 - 2*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27470] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 + 11*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27471] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + z^4/a^4 + (6*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27472] -> 2 - 2*a^2 + a^4 - z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27473] -> 2 - 2*a^2 + a^4 + 6*z^2 - (3*z^2)/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 5*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 27474] -> 6 - 2/a^2 - 4*a^2 + a^4 + 14*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + (6*z^4)/a^4 - 
   (17*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 27475] -> 2*a^2 - 2*a^6 + a^8 - 
   2*a^2*z^2 + 11*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 12*a^2*z^4 + 
   35*a^4*z^4 - 33*a^6*z^4 + 8*a^8*z^4 - 13*a^2*z^6 + 43*a^4*z^6 - 
   31*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 27476] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^2 + 
   a^2*z^2 + 11*z^4 - (4*z^4)/a^2 - 12*a^2*z^4 + 4*a^4*z^4 + 24*z^6 - 
   (8*z^6)/a^2 - 20*a^2*z^6 + 4*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + 
   a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 27477] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27478] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 11*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (16*z^2)/a^2 + a^2*z^2 - 14*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (21*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27479] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27480] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 - 8*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27481] -> 
  1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + z^2 - z^2/a^2 + 6*a^2*z^2 - 
   17*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 15*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 27482] -> 2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 27483] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - (15*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27484] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27485] -> 
  6 + 3/a^4 - 7/a^2 - a^2 + 26*z^2 + (11*z^2)/a^4 - (32*z^2)/a^2 - 
   7*a^2*z^2 + 42*z^4 + (17*z^4)/a^4 - (54*z^4)/a^2 - 9*a^2*z^4 + 33*z^6 + 
   (14*z^6)/a^4 - (50*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - 
   (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 27486] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27487] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - z^4/a^10 - (4*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27488] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27489] -> 1 + 3*z^2 + z^2/a^10 - z^2/a^8 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 27490] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^12 + z^4/a^10 - 
   (11*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 27491] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - (8*z^2)/a^10 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - 
   (14*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27492] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (12*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27493] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 6*z^2 - 
   17*a^2*z^2 + 18*a^4*z^2 - 5*a^6*z^2 + 13*z^4 - 40*a^2*z^4 + 34*a^4*z^4 - 
   8*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 31*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 27494] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 14*z^4 + 
   (6*z^4)/a^2 + 10*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 27495] -> 3 + 2/a^4 - 4/a^2 + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 27496] -> -a^(-8) + a^(-6) + a^(-2) + 
   (3*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + 
   (5*z^4)/a^8 - (13*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27497] -> a^2 + a^6 - a^8 + z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 5*a^2*z^4 - 9*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 27498] -> a^2 + a^4 - a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27499] -> a^(-4) - a^(-2) + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 27500] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + a^8*z^2 - 
   3*z^4 + 6*a^2*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 
   3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 27501] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27502] -> 2*a^2 - 5*a^4 + 9*a^6 - 6*a^8 + a^10 + 
   7*a^2*z^2 - 19*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 9*a^2*z^4 - 26*a^4*z^4 + 
   18*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 + 2*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27503] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 3*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + 3*z^4 - 8*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 27504] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27505] -> 
  -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (18*z^2)/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^12 - 
   (17*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 27506] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - (3*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27507] -> -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 
   2/a^2 - z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (11*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (10*z^4)/a^6 - (8*z^4)/a^4 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27508] -> 
  1 + a^(-10) - 3/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27509] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 
   4*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + 6*a^2*z^4 - 
   11*a^4*z^4 - 6*a^6*z^4 + 14*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 27510] -> -2/a^14 + 7/a^12 - 9/a^10 + 2/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (17*z^2)/a^12 - (21*z^2)/a^10 + (13*z^2)/a^6 - z^4/a^14 + 
   (15*z^4)/a^12 - (20*z^4)/a^10 - (12*z^4)/a^8 + (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27511] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 7*a^2*z^2 - 
   16*a^4*z^2 + 16*a^6*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 23*a^4*z^4 + 
   8*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 3*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27512] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 3*z^2 - 4*a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - a^10*z^2 + 3*z^4 - 5*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 27513] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 15*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 20*z^4 + z^4/a^6 - (11*z^4)/a^4 + 
   (22*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27514] -> -1 + a^(-8) - 2/a^6 + 2/a^4 + a^4 - 
   5*z^2 + z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 - 3*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 27515] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^12 - 
   (2*z^4)/a^10 - (13*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27516] -> -a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (16*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27517] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 
   (2*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 27518] -> 3*a^4 - 7*a^6 + 10*a^8 - 5*a^10 + 
   15*a^4*z^2 - 34*a^6*z^2 + 38*a^8*z^2 - 11*a^10*z^2 + 23*a^4*z^4 - 
   67*a^6*z^4 + 57*a^8*z^4 - 12*a^10*z^4 + 18*a^4*z^6 - 64*a^6*z^6 + 
   42*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 27519] -> a^2 - a^4 + 4*a^8 - 3*a^10 + 5*a^2*z^2 - 
   3*a^4*z^2 - 7*a^6*z^2 + 17*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 10*a^4*z^4 - 
   14*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 
   11*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27520] -> 
  2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - a^10 + 9*a^2*z^2 - 19*a^4*z^2 + 
   15*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 10*a^2*z^4 - 26*a^4*z^4 + 
   6*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 - 4*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27521] -> 
  1 - 2*a^2 + 2*a^4 + a^6 - a^10 + 4*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + 
   6*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 8*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 27522] -> 
  a^6 + 6*a^8 - 9*a^10 + 3*a^12 - 4*a^4*z^2 + 6*a^6*z^2 + 26*a^8*z^2 - 
   29*a^10*z^2 + 7*a^12*z^2 - 8*a^4*z^4 + 9*a^6*z^4 + 42*a^8*z^4 - 
   34*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 33*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 27523] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27524] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 - z^4/a^8 + (14*z^4)/a^6 - (20*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 + (3*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27525] -> 
  -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27526] -> 
  3 - a^(-4) - a^4 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27527] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27528] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27529] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - 
   z^2/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + z^4/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27530] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27531] -> 
  -3 + 8*a^2 - 4*a^4 - 8*z^2 + z^2/a^2 + 14*a^2*z^2 - 3*a^6*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 27532] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   14*a^4*z^2 - 6*a^6*z^2 - 2*z^4 + z^4/a^2 - 4*a^2*z^4 + 19*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27533] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 27534] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 3*z^2 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 27535] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 + 
   z^2/a^6 + z^2/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 27536] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 
   2*a^2 - a^4 - 8*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (15*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27537] -> 2*a^2 - 2*a^6 + a^8 - 2*z^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 5*a^4*z^4 - 
   12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27538] -> 1 + a^2 - 2*a^4 + a^6 - z^2/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 27539] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 + z^2/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27540] -> 
  -2/a^14 + 8/a^12 - 10/a^10 + a^(-8) + 4/a^6 - (6*z^2)/a^14 + 
   (25*z^2)/a^12 - (30*z^2)/a^10 + (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (32*z^4)/a^12 - (41*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - 
   z^6/a^14 + (17*z^6)/a^12 - (32*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 27541] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 
   7*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 27542] -> 1 - 3/a^8 + 5/a^6 - a^(-4) - a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (10*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27543] -> 
  2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + z^2/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - (14*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^6 - z^6/a^4 - (10*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 27544] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (6*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27545] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 8*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27546] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - (5*z^2)/a^10 + (7*z^2)/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (16*z^4)/a^8 + 
   (10*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27547] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27548] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (4*z^2)/a^10 - (12*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - z^4/a^10 - (15*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 27549] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 4*z^2 + z^2/a^2 - 9*a^2*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 15*a^2*z^4 - 5*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 11*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 27550] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 27551] -> a^4 - a^6 + 6*a^8 - 7*a^10 + 
   2*a^12 - a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 17*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 + 20*a^8*z^4 - 14*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 27552] -> 
  11 - 5/a^2 - 5*a^2 + 43*z^2 + (4*z^2)/a^4 - (25*z^2)/a^2 - 17*a^2*z^2 + 
   75*z^4 + (8*z^4)/a^4 - (45*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - 
   (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 27553] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 27554] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 27555] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27556] -> -5 + 2/a^2 + 5*a^2 - a^6 - 18*z^2 + 
   (7*z^2)/a^2 + 11*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 24*z^4 + (9*z^4)/a^2 + 
   6*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 27557] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 
   4*z^2 + z^2/a^8 + (5*z^2)/a^6 - (20*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (3*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27558] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27559] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 + 
   4*a^2*z^2 - 11*a^4*z^2 + 19*a^6*z^2 - 10*a^8*z^2 + a^10*z^2 + 6*a^2*z^4 - 
   17*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 
   a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27560] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 10*z^2 - (5*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 15*z^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 27561] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 17*a^2*z^2 - 11*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 - 9*z^4 + 23*a^2*z^4 - 7*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 
   5*z^6 + 16*a^2*z^6 + 3*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27562] -> 3 - 9*a^2 + 12*a^4 - 5*a^6 + 14*z^2 - 
   42*a^2*z^2 + 43*a^4*z^2 - 12*a^6*z^2 + 24*z^4 - 75*a^2*z^4 + 62*a^4*z^4 - 
   13*a^6*z^4 + 19*z^6 - 68*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 27563] -> -2 + a^(-2) + a^2 + 3*a^4 - 
   2*a^6 - 9*z^2 + (5*z^2)/a^2 - 3*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 - 
   16*z^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + 
   (5*z^6)/a^2 - 9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 27564] -> 
  8 + 3/a^4 - 8/a^2 - 2*a^2 + 32*z^2 + (12*z^2)/a^4 - (36*z^2)/a^2 - 
   9*a^2*z^2 + 54*z^4 + (21*z^4)/a^4 - (66*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 27565] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 + 5*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 14*z^4 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - 
   (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 27566] -> 
  6 + 3/a^4 - 7/a^2 - a^2 + 12*z^2 + (7*z^2)/a^4 - (20*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 + (9*z^4)/a^4 - (24*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27567] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   6*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 27568] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - z^2/a^8 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - (11*z^4)/a^4 + 
   (4*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 27569] -> a^(-10) - 2/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 + z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27570] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 - (4*z^2)/a^14 + (16*z^2)/a^12 - 
   (24*z^2)/a^10 + (8*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (27*z^4)/a^12 - 
   (36*z^4)/a^10 + (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (31*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 27571] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (12*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (12*z^4)/a^10 - z^4/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27572] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27573] -> a^(-12) - 2/a^10 + 2/a^4 - z^2/a^14 + 
   (3*z^2)/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27574] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 5*a^4*z^4 + 
   16*a^6*z^4 + 2*a^8*z^4 - 10*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   11*a^6*z^6 + 5*a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 27575] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27576] -> 
  4 + a^(-6) - 3/a^2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 5*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27577] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 31*z^2 - 
   (11*z^2)/a^2 - 27*a^2*z^2 + 7*a^4*z^2 + 54*z^4 - (17*z^4)/a^2 - 
   42*a^2*z^4 + 9*a^4*z^4 + 50*z^6 - (14*z^6)/a^2 - 33*a^2*z^6 + 5*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 27578] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27579] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^8 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27580] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   13*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   11*z^4 - (9*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 - z^6/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 27581] -> 
  a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27582] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - a^2*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + 2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 27583] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 27584] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 27585] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 27586] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - (11*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - z^4/a^14 + (13*z^4)/a^12 - (12*z^4)/a^10 - (15*z^4)/a^8 + 
   (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27587] -> -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 27588] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + 
   (11*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + 
   (8*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27589] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27590] -> 
  3 - 6*a^2 + 4*a^4 + 2*a^6 - 2*a^8 + 8*z^2 - 17*a^2*z^2 + 4*a^4*z^2 + 
   11*a^6*z^2 - 4*a^8*z^2 + 9*z^4 - 22*a^2*z^4 - 4*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 27591] -> -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   9*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27592] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 4*z^2 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27593] -> -2/a^14 + 7/a^12 - 8/a^10 + a^(-8) + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (15*z^2)/a^12 - (18*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (19*z^4)/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27594] -> 2 - 4*a^4 + 5*a^6 - 3*a^8 + a^10 + 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 27595] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27596] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 9*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 - 6*z^4 + 13*a^2*z^4 - a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27597] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27598] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 8*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27599] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   8*z^2 - z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   4*z^4 - (2*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 27600] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^8*z^2 - 5*z^4 + 
   12*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 
   a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 27601] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^4 + (3*z^4)/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^12 - (7*z^6)/a^10 + (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27602] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^12 - 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (4*z^4)/a^8 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + (3*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27603] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27604] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 2*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27605] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - z^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (4*z^6)/a^4 + z^6/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 27606] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27607] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27608] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 27609] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - z^2/a^6 + (4*z^2)/a^4 + 
   2*a^2*z^2 - 4*z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27610] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^10 - (4*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (7*z^4)/a^8 + z^4/a^6 + 
   z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27611] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^4 + (4*z^2)/a^2 - z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 27612] -> -a^(-4) + 2/a^2 + z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27613] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27614] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 27615] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27616] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27617] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 27618] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^8 + z^4/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27619] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - (2*z^4)/a^2 + 10*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 27620] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27621] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 27622] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   8*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 27623] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 + z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 - 
   2*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27624] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - 
   z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (16*z^4)/a^8 + (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27625] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 6*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 27626] -> -2 - a^(-4) + 3/a^2 + a^2 + z^2/a^4 - 
   z^2/a^2 + 13*z^4 + (5*z^4)/a^4 - (15*z^4)/a^2 - 4*a^2*z^4 + 20*z^6 + 
   (8*z^6)/a^4 - (25*z^6)/a^2 - 4*a^2*z^6 + 11*z^8 + (5*z^8)/a^4 - 
   (19*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 27627] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27628] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27629] -> 1 - 2*a^2 + 2*a^4 + 3*a^6 - 4*a^8 + a^10 + 
   3*z^2 - 5*a^2*z^2 - a^4*z^2 + 11*a^6*z^2 - 5*a^8*z^2 + 3*z^4 - 5*a^2*z^4 - 
   7*a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 27630] -> -3 + a^(-2) + 7*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   11*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27631] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   15*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27632] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27633] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27634] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^8 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27635] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 27636] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 27637] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + 
   a^2 + a^4 - 10*z^2 - z^2/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (19*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 27638] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 
   14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27639] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 20*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 24*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 22*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 27640] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (12*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (18*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 - 
   (6*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 27641] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27642] -> a^(-12) - 2/a^10 + a^(-8) - 2/a^6 + 3/a^4 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (6*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 - (7*z^6)/a^10 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 27643] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^12 + z^2/a^10 - (4*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27644] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27645] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + z^4/a^6 - 
   (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27646] -> -1 + a^(-2) + a^2 - 4*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 27647] -> 2 - 2*a^2 + 2*a^6 - a^8 + 
   3*z^2 - z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   8*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27648] -> 1 + 5*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 + 8*z^4 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 - (20*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 27649] -> 
  2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27650] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   8*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 20*a^4*z^4 - 8*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 27651] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 + 6*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + 
   z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 27652] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - z^2 + 
   z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 9*z^4 - (4*z^4)/a^2 - 
   8*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 - a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 27653] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - z^2 - a^2*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27654] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27655] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 - 2*z^2 + z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27656] -> 
  -4 - 2/a^6 + 5/a^4 - a^(-2) + 3*a^2 - 9*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - (8*z^4)/a^6 + (21*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27657] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 7*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27658] -> 
  a^(-2) - a^4 + a^6 + z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27659] -> 
  4*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 - 2*z^2 + 8*a^2*z^2 - 5*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 5*a^2*z^4 + a^4*z^4 - 
   9*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 27660] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 27661] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27662] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 27663] -> 3 - 4*a^2 + 4*a^6 - 2*a^8 + 6*z^2 - 
   16*a^2*z^2 + 6*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 22*a^2*z^4 + 
   6*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 2*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 27664] -> 1 + a^(-2) - 4*a^2 + 3*a^4 + 
   a^6 - a^8 - z^2 + z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 27665] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 27666] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27667] -> 
  -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 2*z^2 + 2*a^2*z^2 + 17*a^6*z^2 - 
   15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 21*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 27668] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 3*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27669] -> 3 - 2/a^6 + 5/a^4 - 4/a^2 - 2*a^2 + a^4 + 
   4*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 27670] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 27671] -> 
  3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 6*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27672] -> 3 - 2/a^6 + 5/a^4 - 4/a^2 - 2*a^2 + a^4 + 
   4*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 27673] -> 
  3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 6*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27674] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27675] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - z^4/a^6 + (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27676] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   2*a^2*z^2 + 11*a^6*z^2 + 7*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 + 17*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 27677] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 23*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 27678] -> 
  5 - 2/a^2 - 2*a^2 + 16*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - 
   7*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 
   9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 27679] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 8*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 27680] -> 2*a^2 - a^4 + 4*z^2 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27681] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - z^2 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 9*z^4 - (4*z^4)/a^2 - 8*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 - a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 27682] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27683] -> 
  8 + 3/a^4 - 9/a^2 + a^2 - 2*a^4 + 15*z^2 + (11*z^2)/a^4 - (29*z^2)/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + 6*z^4 + (13*z^4)/a^4 - (34*z^4)/a^2 + 
   20*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + (6*z^6)/a^4 - (21*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27684] -> 2 + a^(-6) - 2/a^4 + a^2 - a^4 + 9*z^2 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (4*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 27685] -> 
  3 + 3/a^4 - 7/a^2 + 5*a^2 - 3*a^4 - 2*z^2 + (6*z^2)/a^4 - (13*z^2)/a^2 + 
   13*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 27686] -> 
  3 + a^(-6) - a^(-4) - 2/a^2 + a^2 - a^4 + 3*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 27687] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 - a^2*z^2 + a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27688] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^6 - 
   z^2/a^4 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27689] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + z^4/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27690] -> 1 + 4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27691] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27692] -> 6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 11*z^2 + 
   (9*z^2)/a^4 - (24*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + 
   (10*z^4)/a^4 - (27*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27693] -> 
  4 + a^(-6) - 4/a^2 + a^2 - a^4 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27694] -> -3 - 2/a^6 + 6/a^4 - 3/a^2 + 3*a^2 - 
   11*z^2 - (7*z^2)/a^6 + (20*z^2)/a^4 - (11*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - 
   (9*z^4)/a^6 + (24*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27695] -> 1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 
   2*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27696] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 9*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27697] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 + z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   9*a^2*z^2 + 2*a^6*z^2 + 6*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 7*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27698] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27699] -> 
  a^(-8) - a^(-6) + a^2 - z^2 - z^2/a^10 + (2*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 27700] -> -3 + 3/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^6 - 
   z^2/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27701] -> 1 + a^(-2) - 2*a^2 + a^6 + 2*z^2 - z^2/a^4 - 
   2*a^2*z^2 - 4*a^4*z^2 + a^8*z^2 + 4*z^4 - z^4/a^4 + 2*a^2*z^4 - 
   3*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 27702] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 14*a^2*z^2 - 26*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 16*a^2*z^4 - 33*a^4*z^4 + 23*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 19*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 27703] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^2 - 6*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 - 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 27704] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27705] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^10 + 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 27706] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27707] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27708] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27709] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   7*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 27710] -> 
  a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 - 3*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 27711] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27712] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 27713] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27714] -> 
  3*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 - z^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 3*a^2*z^4 + a^4*z^4 - 
   7*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 27715] -> 
  1 + 2/a^6 - 3/a^4 + a^(-2) - a^2 + a^4 - z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27716] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 + 
   z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 27717] -> 4*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 - z^2 + 
   7*a^2*z^2 - 6*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 2*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + z^6 + 4*a^2*z^6 + 
   4*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 27718] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27719] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27720] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 12*z^2 + (2*z^2)/a^2 + 27*a^2*z^2 - 
   22*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 21*z^4 + (5*z^4)/a^2 + 34*a^2*z^4 - 
   21*a^4*z^4 + 4*a^6*z^4 - 16*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 27721] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27722] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 21*a^2*z^4 - 17*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27723] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27724] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27725] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - (3*z^2)/a^10 + 
   (8*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27726] -> 
  8 + 3/a^4 - 9/a^2 + a^2 - 2*a^4 + 11*z^2 + (9*z^2)/a^4 - (23*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (10*z^4)/a^4 - (27*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27727] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^10 + 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 27728] -> 
  3 - 6*a^2 + 4*a^4 + 2*a^6 - 2*a^8 + 8*z^2 - 19*a^2*z^2 + 8*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + 9*z^4 - 25*a^2*z^4 + 4*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 + 5*z^6 - 16*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 27729] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 9*z^2 + 
   (4*z^2)/a^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 - 7*z^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27730] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 4*z^2 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27731] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27732] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27733] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 
   z^2 - 3*a^2*z^2 + 8*a^4*z^2 + 14*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 4*a^2*z^4 + 2*a^4*z^4 + 19*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 4*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 27734] -> 
  -1 + a^2 + 3*a^4 - 3*a^8 + a^10 - 3*z^2 + 4*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 27735] -> 2/a^12 - 6/a^10 + 8/a^6 - 3/a^4 + 
   (4*z^2)/a^12 - (21*z^2)/a^10 + (14*z^2)/a^8 + (22*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + (34*z^4)/a^8 + 
   (24*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (31*z^6)/a^8 + 
   (15*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 27736] -> 
  a^(-12) - 3/a^10 - a^(-8) + 4/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (4*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (8*z^4)/a^8 + (17*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27737] -> -2/a^8 + 5/a^4 - 2/a^2 + z^2/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (5*z^4)/a^8 + (10*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (7*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27738] -> -1 - a^(-10) + a^(-8) - a^(-6) + a^(-4) + 
   2/a^2 - 2*z^2 + z^2/a^12 - (4*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 27739] -> 2 - 2/a^6 + 4/a^4 - 2/a^2 - 
   2*a^2 + a^4 + z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27740] -> 
  -a^(-8) + a^(-6) + a^(-4) - a^2 + a^4 - 3*z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 27741] -> 
  -a^(-14) + 2/a^12 - 3/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 - z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 27742] -> 4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 27743] -> 1 - a^(-4) + a^(-2) + a^4 - a^6 + z^2/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 27744] -> 5 + 2/a^8 - 6/a^6 + 6/a^4 - 
   4/a^2 - 2*a^2 + 9*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27745] -> -a^(-14) + a^(-12) + a^(-2) - z^2/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27746] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27747] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - z^4/a^2 + 
   12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 27748] -> 3 + a^(-6) - 3/a^2 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27749] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 27750] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   9*z^2 + z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27751] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27752] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 + (6*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^8 - (15*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27753] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27754] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27755] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27756] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + z^4/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 27757] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 27758] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27759] -> -3 - 4/a^4 + 8/a^2 - 10*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27760] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 + 
   12*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   18*a^6*z^4 + 12*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   13*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 27761] -> 3*a^6 - 3*a^10 + a^12 - 2*a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   5*a^4*z^4 + 10*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   5*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 27762] -> 
  -5/a^6 + 9/a^4 - 3/a^2 + (3*z^2)/a^10 - (6*z^2)/a^8 - (8*z^2)/a^6 + 
   (27*z^2)/a^4 - (10*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 - (2*z^4)/a^6 + 
   (32*z^4)/a^4 - (12*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + 
   (20*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + (5*z^8)/a^6 + (7*z^8)/a^4 - 
   z^8/a^2 + z^10/a^6 + z^10/a^4, Knot[15, Alternating, 27763] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (11*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + (11*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 27764] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + z^2/a^10 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (6*z^4)/a^6 + (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (7*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 27765] -> 2 - a^(-6) + a^(-4) - a^2 + 3*z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 - (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 27766] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27767] -> a^2 + a^4 - a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27768] -> 4 + 3/a^4 - 7/a^2 + 3*a^2 - 
   2*a^4 + 13*z^2 + (9*z^2)/a^4 - (26*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 
   8*z^4 + (12*z^4)/a^4 - (31*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 5*z^6 + 
   (6*z^6)/a^4 - (20*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27769] -> 
  4 + a^(-6) - 4/a^2 + a^2 - a^4 + 8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 27770] -> 2 + 3/a^4 - 6/a^2 + 4*a^2 - 2*a^4 - z^2 + 
   (5*z^2)/a^4 - (13*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + 10*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 27771] -> 2 + a^(-6) - 3/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (3*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 27772] -> 
  -2 - 2/a^6 + 7/a^4 - 5/a^2 + 3*a^2 - 12*z^2 - (9*z^2)/a^6 + (25*z^2)/a^4 - 
   (15*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (12*z^4)/a^6 + (31*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (6*z^6)/a^6 + (20*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (7*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27773] -> 
  -2 - a^(-6) + 4/a^4 - 2/a^2 + a^2 + a^4 - 11*z^2 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 8*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (4*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27774] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27775] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27776] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27777] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   2*z^2 - z^2/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 27778] -> 1 + 2/a^4 - 2/a^2 - a^2 + a^6 + z^2 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 27779] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 31*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27780] -> -1 + a^(-2) + 2*a^4 - a^6 - 10*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 27781] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 27782] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27783] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27784] -> 1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 - 
   z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27785] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27786] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 27787] -> 
  1 + 2/a^6 - 3/a^4 + a^(-2) - a^2 + a^4 - z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27788] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27789] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27790] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + 
   z^4/a^8 - z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 27791] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 
   13*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 17*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27792] -> a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 
   3*a^10 - a^12 + z^2 + a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 - 14*a^8*z^2 + 
   5*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + 
   z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 27793] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 27794] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27795] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + (5*z^4)/a^6 - 
   (18*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27796] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - z^2 + 
   11*a^2*z^2 - 24*a^4*z^2 + 25*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   14*a^2*z^4 - 33*a^4*z^4 + 26*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 20*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 27797] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 2*z^2 + 6*a^2*z^2 - a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27798] -> 4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 + 
   13*a^6*z^2 - 14*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   12*a^6*z^4 - 15*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 
   7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 27799] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27800] -> 
  1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 2*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 - 
   z^2/a^6 - (7*z^2)/a^4 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27801] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 27802] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 - z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27803] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 27804] -> 
  1 + z^2/a^6 - (3*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 27805] -> 2 - a^(-4) + a^(-2) - a^2 + 
   4*z^2 + z^2/a^8 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27806] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 
   12*z^2 + (2*z^2)/a^2 + 27*a^2*z^2 - 22*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 
   21*z^4 + (5*z^4)/a^2 + 34*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 16*z^6 + 
   (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27807] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27808] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 + 
   3*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27809] -> 2/a^16 - 6/a^14 + 4/a^12 - 2/a^10 + 3/a^8 - 
   (13*z^2)/a^14 + (14*z^2)/a^12 + z^2/a^10 + (10*z^2)/a^8 - (3*z^4)/a^16 - 
   (6*z^4)/a^14 + (23*z^4)/a^12 + (10*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + 
   (2*z^6)/a^14 + (15*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 27810] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) - z^2/a^16 - (5*z^2)/a^14 + 
   (4*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (8*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 27811] -> -a^(-18) + 5/a^16 - 9/a^14 + 6/a^12 - 
   4/a^10 + 4/a^8 + (3*z^2)/a^16 - (16*z^2)/a^14 + (14*z^2)/a^12 - 
   (2*z^2)/a^10 + (12*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + 
   (19*z^4)/a^12 + (8*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (13*z^6)/a^12 + (8*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 27812] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - z^2/a^16 - (2*z^2)/a^14 + z^2/a^12 + 
   (5*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + (6*z^4)/a^12 + 
   (7*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 27813] -> 
  -a^(-14) + a^(-12) - a^(-10) + a^(-8) + a^(-4) - z^2/a^16 - z^2/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^14 + (3*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 27814] -> -a^(-4) + 2/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 8*z^4 + 
   (3*z^4)/a^8 - (20*z^4)/a^6 + (23*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (26*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27815] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (10*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 27816] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (10*z^4)/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27817] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^8 + (5*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 27818] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 11*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 27819] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 27820] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 
   5*z^2 + z^2/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 - (28*z^2)/a^4 + 
   (22*z^2)/a^2 - 4*z^4 + z^4/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - 
   (33*z^4)/a^4 + (21*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (19*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 27821] -> 4 + a^(-6) - a^(-4) - 2/a^2 - 
   a^2 + 8*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - 
   (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 27822] -> 
  -4 + 10*a^2 - 5*a^4 - 13*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 
   a^6*z^2 - 12*z^4 + z^4/a^4 + 23*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 3*z^6 - 
   (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 27823] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 6*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - (27*z^2)/a^4 + (23*z^2)/a^2 - 
   7*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (32*z^4)/a^4 + (27*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (17*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27824] -> 
  -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27825] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (2*z^4)/a^6 + z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 27826] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 
   3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27827] -> 1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 - 
   z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27828] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 6*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 27829] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 - z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27830] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 2*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27831] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 27832] -> a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 + z^2 - 
   z^2/a^8 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 27833] -> 
  -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 20*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (25*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (31*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 27834] -> 
  2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 27835] -> 
  -2 - a^(-6) + 5/a^4 - 4/a^2 + 3*a^2 - 7*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (10*z^2)/a^4 - (11*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (12*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 27836] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 27837] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - 5*z^2 - z^2/a^8 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 27838] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 27839] -> 1 + a^(-6) - a^(-2) - a^2 + a^6 - 
   z^2 - z^2/a^8 - z^2/a^6 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4, Knot[15, Alternating, 27840] -> 
  1 + 4*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27841] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   20*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (29*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27842] -> a^2 + a^4 - a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 27843] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   a^6 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27844] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27845] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   7*z^2 + z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27846] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27847] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 6*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 27848] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 27849] -> 
  6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 11*z^2 + (9*z^2)/a^4 - (24*z^2)/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + (10*z^4)/a^4 - (27*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27850] -> -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 
   11*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27851] -> 1 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27852] -> -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 
   2*z^2 + 2*a^2*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 - 5*a^4*z^4 + 21*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 27853] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27854] -> 
  3 - 2/a^6 + 5/a^4 - 4/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27855] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 27856] -> 3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 
   6*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27857] -> 
  3 - 2/a^6 + 5/a^4 - 4/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27858] -> 3 + a^(-8) - 4/a^6 + 5/a^4 - 3/a^2 - a^2 + 
   6*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27859] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   7*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27860] -> 
  1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27861] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 2*a^2*z^2 + 11*a^6*z^2 + 7*a^8*z^2 - 
   13*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 17*a^6*z^4 + 9*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 27862] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 23*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 27863] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   3*a^4*z^2 - 8*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 27864] -> 5 - 2/a^2 - 2*a^2 + 16*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 27865] -> 
  2*a^2 - a^4 + 4*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 27866] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 
   9*z^2 + (4*z^2)/a^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27867] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 4*z^2 + 
   z^2/a^8 + z^2/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27868] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27869] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   7*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 27870] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27871] -> 
  3 - 6*a^2 + 4*a^4 + 2*a^6 - 2*a^8 + 8*z^2 - 19*a^2*z^2 + 8*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + 9*z^4 - 25*a^2*z^4 + 4*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 + 5*z^6 - 16*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 27872] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 4*z^2 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 27873] -> 4 + 3/a^4 - 7/a^2 + 3*a^2 - 2*a^4 + 9*z^2 + 
   (7*z^2)/a^4 - (20*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + (9*z^4)/a^4 - 
   (24*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27874] -> 
  1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 + 5*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 27875] -> 1 + 2*a^2 - 4*a^4 + a^6 + 2*a^8 - a^10 - 
   2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   6*a^2*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 27876] -> -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + 
   a^8 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 
   4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27877] -> a^(-2) - a^4 + a^6 + z^2 - z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27878] -> 1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27879] -> 
  -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + a^8 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 27880] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (5*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 27881] -> 
  a^(-12) - 3/a^10 + 2/a^8 + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - 
   (2*z^2)/a^10 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 27882] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + a^6 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   z^4/a^4 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 27883] -> 3*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 - z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 + a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 27884] -> a^(-4) - a^(-2) + a^2 + 3*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - 
   (13*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 27885] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - 
   a^8 - 3*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 27886] -> 2 + 3/a^4 - 6/a^2 + 4*a^2 - 
   2*a^4 + 9*z^2 + (7*z^2)/a^4 - (21*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   7*z^4 + (9*z^4)/a^4 - (24*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27887] -> 
  2 + a^(-6) - 3/a^2 + 2*a^2 - a^4 + 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27888] -> 
  -3 - 2/a^6 + 6/a^4 - 3/a^2 + 3*a^2 - 11*z^2 - (7*z^2)/a^6 + (20*z^2)/a^4 - 
   (11*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - (9*z^4)/a^6 + (24*z^4)/a^4 - 
   (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27889] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 9*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27890] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 6*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 27891] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (6*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 27892] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27893] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 + z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 27894] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 5*z^2 + z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 27895] -> -3 + 3/a^2 - a^2 + 2*a^4 - 
   4*z^2 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 27896] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27897] -> 
  1 + a^(-10) - a^(-8) - 2/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^6 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27898] -> 
  a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - 
   z^2/a^10 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 27899] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 22*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27900] -> 
  -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27901] -> -4 + a^(-2) + 8*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   17*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   24*z^4 + (6*z^4)/a^2 + 33*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27902] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 10*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 27903] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27904] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27905] -> 8 + 3/a^4 - 9/a^2 + a^2 - 2*a^4 + 15*z^2 + 
   (11*z^2)/a^4 - (29*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 6*z^4 + 
   (13*z^4)/a^4 - (34*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + 
   (6*z^6)/a^4 - (21*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27906] -> 
  3 + 3/a^4 - 7/a^2 + 5*a^2 - 3*a^4 - 2*z^2 + (6*z^2)/a^4 - (13*z^2)/a^2 + 
   13*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (4*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 27907] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 + 2*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - 6*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 27908] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 2*z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 27909] -> 
  1 + 5*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 + 8*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (20*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 27910] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 27911] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   20*a^4*z^4 - 8*a^6*z^4 - 8*z^6 + z^6/a^2 + 3*a^2*z^6 + 15*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27912] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   6*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 27913] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 27914] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27915] -> 3 - 4*a^2 + 4*a^6 - 2*a^8 + 6*z^2 - 
   16*a^2*z^2 + 6*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 22*a^2*z^4 + 
   6*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 2*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 27916] -> 1 + a^(-2) - 4*a^2 + 3*a^4 + 
   a^6 - a^8 - z^2 + z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 27917] -> 4 + 3/a^4 - 7/a^2 + 3*a^2 - 
   2*a^4 + 9*z^2 + (7*z^2)/a^4 - (20*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 
   6*z^4 + (9*z^4)/a^4 - (24*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27918] -> 
  -4 - 2/a^6 + 5/a^4 - a^(-2) + 3*a^2 - 9*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - (8*z^4)/a^6 + (21*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 27919] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 7*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 27920] -> 
  2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^8 + z^2/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27921] -> 1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 + 
   5*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 27922] -> 
  1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27923] -> -a^(-8) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   z^2/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - 
   (10*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 27924] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (4*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (5*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 27925] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   14*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27926] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   8*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 27927] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27928] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 
   7*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   13*a^2*z^4 - 22*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27929] -> -4 + a^(-2) + 8*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   17*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   24*z^4 + (6*z^4)/a^2 + 33*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27930] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - z^2 + 
   11*a^2*z^2 - 24*a^4*z^2 + 25*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   14*a^2*z^4 - 33*a^4*z^4 + 26*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 20*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 27931] -> 
  4 + a^(-6) - 4/a^2 + a^2 - a^4 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27932] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 + 
   z^4 + z^4/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (10*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 27933] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27934] -> 2 + a^(-4) - 2/a^2 - 3*z^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 27935] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27936] -> 1 - 2*z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27937] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (3*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (8*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27938] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (4*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - 
   (8*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27939] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 9*a^2*z^2 - 
   5*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 
   8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 27940] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 + 2*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27941] -> 1 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 27942] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 27943] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   2*z^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27944] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^8 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 27945] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - z^4/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27946] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + z^4/a^8 - z^4/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + 
   (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 27947] -> a^(-10) - 5/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (17*z^4)/a^10 + (14*z^4)/a^8 + (17*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (21*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 27948] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27949] -> 2 + 3/a^4 - 7/a^2 + 7*a^2 - 4*a^4 + 
   (9*z^2)/a^4 - (20*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 
   (10*z^4)/a^4 - (24*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27950] -> 
  3/a^4 - 6/a^2 + 8*a^2 - 4*a^4 + (8*z^2)/a^4 - (19*z^2)/a^2 + 20*a^2*z^2 - 
   8*a^4*z^2 - 4*z^4 + (9*z^4)/a^4 - (22*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 
   8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27951] -> 3 + a^(-6) - 4/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 27952] -> 
  -2/a^10 + 6/a^8 - 2/a^6 - 7/a^4 + 6/a^2 - (6*z^2)/a^10 + (18*z^2)/a^8 - 
   (6*z^2)/a^6 - (20*z^2)/a^4 + (11*z^2)/a^2 - (8*z^4)/a^10 + (20*z^4)/a^8 - 
   (2*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27953] -> 2 - a^(-10) + 3/a^8 - 4/a^4 + a^(-2) + 
   3*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 27954] -> 4 + 2/a^6 - a^(-4) - 4/a^2 + 4*z^2 - 
   z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (9*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 27955] -> 
  -1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) + 2*a^2 - 4*z^2 - z^2/a^10 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 27956] -> -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 
   10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^4 + 22*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 27957] -> 2 - a^(-2) - a^2 + 3*a^4 - 
   2*a^6 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 7*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 27958] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 - z^2/a^6 + z^2/a^4 + 6*a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 + z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 27959] -> 
  2 - a^(-2) + a^4 - a^6 + 3*z^2 - z^2/a^4 + 2*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 27960] -> 2 + 3/a^4 - 7/a^2 + 7*a^2 - 4*a^4 + 
   (9*z^2)/a^4 - (20*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 
   (10*z^4)/a^4 - (24*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 27961] -> 
  2 - a^2 - a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 27962] -> 
  2 - 2*a^2 + 2*a^6 - a^8 - z^2 - z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 27963] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (4*z^2)/a^8 - (5*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (13*z^4)/a^6 - (6*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27964] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (5*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 27965] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (12*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + 2*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 27966] -> 
  -2 + a^(-4) + 2*a^2 - 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 27967] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27968] -> -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 27969] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (8*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (14*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 27970] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 + 
   (2*z^2)/a^4 + 4*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 27971] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 10*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 7*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - 
   3*a^2*z^4 + 23*z^6 + (4*z^6)/a^4 - (20*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 27972] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^8 - (11*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + (4*z^6)/a^8 - (20*z^6)/a^6 + (23*z^6)/a^4 - 
   (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - (5*z^8)/a^2 - 
   (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 27973] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 + z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 21*z^6 + (3*z^6)/a^4 - (16*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + 
   z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 27974] -> -2*a^2 + 12*a^4 - 14*a^6 + 5*a^8 - 
   13*a^2*z^2 + 54*a^4*z^2 - 63*a^6*z^2 + 22*a^8*z^2 - 16*a^2*z^4 + 
   80*a^4*z^4 - 106*a^6*z^4 + 34*a^8*z^4 - 7*a^2*z^6 + 54*a^4*z^6 - 
   89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 27975] -> -1 + 5*a^2 - 2*a^4 - 3*a^6 + 2*a^8 - 6*z^2 + 
   18*a^2*z^2 - 5*a^4*z^2 - 18*a^6*z^2 + 10*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 
   11*a^4*z^4 - 27*a^6*z^4 + 12*a^8*z^4 - z^6 + 12*a^2*z^6 - 12*a^4*z^6 - 
   19*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27976] -> 
  7*a^4 - 10*a^6 + 4*a^8 - 4*z^2 + 8*a^2*z^2 + 12*a^4*z^2 - 29*a^6*z^2 + 
   12*a^8*z^2 - 4*z^4 + 16*a^2*z^4 + 2*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 27977] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 - 7*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 12*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 27978] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - 4*z^2 + 
   11*a^2*z^2 + a^4*z^2 - 19*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 
   6*a^4*z^4 - 24*a^6*z^4 + 10*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27979] -> 
  1 + a^2 - 3*a^6 + 2*a^8 + 3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 10*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 27980] -> 
  -1 + 4*a^2 - 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 23*z^4 - 
   (5*z^4)/a^2 - 28*a^2*z^4 + 11*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 
   41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 27981] -> 
  1 + 6*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - (14*z^2)/a^2 + 15*z^4 - 
   (5*z^4)/a^6 + (27*z^4)/a^4 - (41*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + 
   (27*z^6)/a^4 - (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 27982] -> -1 + 4*a^2 - 2*a^4 + z^2 + a^4*z^2 + 
   15*z^4 - (2*z^4)/a^2 - 25*a^2*z^4 + 11*a^4*z^4 + 21*z^6 - (3*z^6)/a^2 - 
   40*a^2*z^6 + 13*a^4*z^6 + 11*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 27983] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 27984] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (16*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 27985] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - (6*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - (17*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 27986] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 27*z^2 - (7*z^2)/a^2 - 32*a^2*z^2 + 12*a^4*z^2 + 
   51*z^4 - (11*z^4)/a^2 - 67*a^2*z^4 + 22*a^4*z^4 + 41*z^6 - (6*z^6)/a^2 - 
   64*a^2*z^6 + 18*a^4*z^6 + 15*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 27987] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   17*a^2*z^2 + 7*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 23*a^2*z^4 + 
   9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 27988] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 8*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 18*a^2*z^2 + 7*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 27989] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + 11*a^2*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 5*a^4*z^4 - 17*a^6*z^4 + 8*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   8*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 27990] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 + 11*a^4*z^2 - 
   7*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 27991] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - 5*z^4 + (3*z^4)/a^8 - 
   (18*z^4)/a^6 + (22*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (13*z^6)/a^6 + (23*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 27992] -> -a^(-4) + 2/a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 27993] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 12*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 - 8*a^2*z^2 + 20*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (12*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 27994] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 10*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 27995] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + (4*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (18*z^4)/a^10 + (21*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^10 + (23*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 27996] -> -2 - a^(-4) + 3/a^2 + a^2 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 21*z^4 + (3*z^4)/a^4 - 
   (18*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 25*z^6 + z^6/a^4 - (14*z^6)/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + 12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 27997] -> 
  -a^(-8) + 2/a^4 - 4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 + 
   (3*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + (27*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 27998] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (18*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (21*z^4)/a^6 - (18*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 27999] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (18*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28000] -> -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 
   6/a^6 - (4*z^2)/a^14 + (21*z^2)/a^12 - (23*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^4)/a^14 + (31*z^4)/a^12 - (43*z^4)/a^10 - 
   (11*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (36*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 28001] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - a^(-8) - a^(-6) + 3/a^4 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (11*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (16*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28002] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (9*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 28003] -> -a^(-14) + 3/a^12 - 2/a^10 - a^(-8) + 
   a^(-4) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 28004] -> 
  -a^(-4) + 2/a^2 - (4*z^2)/a^10 + (16*z^2)/a^8 - (14*z^2)/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (35*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - (32*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 28005] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (10*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (10*z^4)/a^8 - (13*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28006] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 65*z^2 + (13*z^2)/a^4 - (51*z^2)/a^2 - 
   23*a^2*z^2 + 107*z^4 + (16*z^4)/a^4 - (79*z^4)/a^2 - 34*a^2*z^4 + 89*z^6 + 
   (7*z^6)/a^4 - (54*z^6)/a^2 - 24*a^2*z^6 + 41*z^8 + z^8/a^4 - 
   (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 28007] -> 1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 + 5*z^2 + 
   (6*z^2)/a^4 - (17*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 11*z^4 + 
   (5*z^4)/a^4 - (23*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + 12*z^6 + z^6/a^4 - 
   (12*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 28008] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 29*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 - 
   (11*z^2)/a^2 - 12*a^2*z^2 + 34*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 - 
   (2*z^4)/a^2 - 13*a^2*z^4 + 21*z^6 + z^6/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28009] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 8*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28010] -> 5 - 2/a^2 - 2*a^2 + 16*z^2 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 28011] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 8*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28012] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - 
   26*a^2*z^2 + 33*a^4*z^2 - 12*a^6*z^2 + 11*z^4 - 51*a^2*z^4 + 67*a^4*z^4 - 
   22*a^6*z^4 + 6*z^6 - 41*a^2*z^6 + 64*a^4*z^6 - 18*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 28013] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - 
   3*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 23*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28014] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 - 2*z^2 + (2*z^2)/a^2 - 10*a^2*z^2 + 16*a^4*z^2 - 
   6*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28015] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 27*z^2 - (7*z^2)/a^2 - 32*a^2*z^2 + 12*a^4*z^2 + 
   51*z^4 - (11*z^4)/a^2 - 67*a^2*z^4 + 22*a^4*z^4 + 41*z^6 - (6*z^6)/a^2 - 
   64*a^2*z^6 + 18*a^4*z^6 + 15*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28016] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   17*a^2*z^2 + 7*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 23*a^2*z^4 + 
   9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28017] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 8*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 18*a^2*z^2 + 7*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 28018] -> 
  3 - a^(-2) - a^2 + 21*z^2 - (5*z^2)/a^2 - 25*a^2*z^2 + 10*a^4*z^2 + 
   40*z^4 - (6*z^4)/a^2 - 62*a^2*z^4 + 23*a^4*z^4 + 33*z^6 - (4*z^6)/a^2 - 
   65*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28019] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 16*z^2 - (4*z^2)/a^6 + (25*z^2)/a^4 - 
   (38*z^2)/a^2 + 27*z^4 - (6*z^4)/a^6 + (43*z^4)/a^4 - (76*z^4)/a^2 + 
   20*z^6 - (4*z^6)/a^6 + (34*z^6)/a^4 - (71*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 28020] -> a^(-10) - 4/a^8 + 2/a^6 + 
   3/a^4 - a^(-2) - (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 + (10*z^4)/a^8 - (10*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (18*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 28021] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 
   3*a^4 + a^6 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 18*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 - 25*z^4 - z^4/a^4 + (12*z^4)/a^2 + 25*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28022] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 26*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28023] -> 
  1 + 10*z^2 - (2*z^2)/a^2 - 14*a^2*z^2 + 6*a^4*z^2 + 27*z^4 - (5*z^4)/a^2 - 
   41*a^2*z^4 + 15*a^4*z^4 + 27*z^6 - (4*z^6)/a^2 - 47*a^2*z^6 + 14*a^4*z^6 + 
   12*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28024] -> 
  -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28025] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (21*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (23*z^4)/a^6 - (28*z^4)/a^4 + (18*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 28026] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 28027] -> 
  -1 - 2/a^4 + 4/a^2 + 3*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   14*z^4 - (5*z^4)/a^6 + (26*z^4)/a^4 - (36*z^4)/a^2 + 14*z^6 - 
   (4*z^6)/a^6 + (27*z^6)/a^4 - (46*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 28028] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   7*z^2 - 26*a^2*z^2 + 33*a^4*z^2 - 12*a^6*z^2 + 11*z^4 - 51*a^2*z^4 + 
   67*a^4*z^4 - 22*a^6*z^4 + 6*z^6 - 41*a^2*z^6 + 64*a^4*z^6 - 18*a^6*z^6 + 
   z^8 - 15*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 28029] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 - 3*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 + 17*a^4*z^2 - 
   7*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 23*a^4*z^4 - 9*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28030] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 - 2*z^2 + (2*z^2)/a^2 - 10*a^2*z^2 + 16*a^4*z^2 - 
   6*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28031] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 14*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (19*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (24*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28032] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (17*z^2)/a^6 - (25*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (23*z^4)/a^6 - (32*z^4)/a^4 + (17*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 28033] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (21*z^2)/a^4 + (27*z^2)/a^2 + a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (25*z^4)/a^4 + (34*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28034] -> 
  -1 + 4*a^2 - 2*a^4 + 15*z^2 - (4*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 + 
   40*z^4 - (8*z^4)/a^2 - 55*a^2*z^4 + 20*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 
   61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28035] -> 
  -2 + 5*a^2 - a^4 - a^6 + z^2 - 9*a^2*z^2 + 22*a^4*z^2 - 10*a^6*z^2 + 
   7*z^4 - 36*a^2*z^4 + 59*a^4*z^4 - 21*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 
   62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 28036] -> -3 + 8*a^2 - 4*a^4 - 4*z^2 + 12*a^2*z^2 - 
   4*a^4*z^2 + 15*z^4 - (4*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 + 24*z^6 - 
   (4*z^6)/a^2 - 35*a^2*z^6 + 12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 28037] -> 1 + 12*z^2 - (4*z^2)/a^6 + (20*z^2)/a^4 - 
   (28*z^2)/a^2 + 24*z^4 - (8*z^4)/a^6 + (44*z^4)/a^4 - (68*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 28038] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 
   31*z^2 + (3*z^2)/a^4 - (17*z^2)/a^2 - 13*a^2*z^2 + 69*z^4 + (8*z^4)/a^4 - 
   (43*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28039] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 + a^4*z^2 + 19*z^4 - (4*z^4)/a^2 - 27*a^2*z^4 + 
   11*a^4*z^4 + 25*z^6 - (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 28040] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   9*z^2 + z^2/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   16*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28041] -> 
  2 - a^(-2) + a^4 - a^6 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 14*a^4*z^4 - 5*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28042] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 15*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 - 
   5*a^2*z^2 + 18*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 
   12*z^6 + z^6/a^6 - (6*z^6)/a^4 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 28043] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 
   12*z^4 - (7*z^4)/a^6 + (27*z^4)/a^4 - (35*z^4)/a^2 + 13*z^6 - 
   (5*z^6)/a^6 + (30*z^6)/a^4 - (43*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 28044] -> a^(-10) - 2/a^8 - a^(-6) + 
   3/a^4 - (2*z^2)/a^10 + (8*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 - 
   (7*z^4)/a^10 + (29*z^4)/a^8 - (38*z^4)/a^6 + (14*z^4)/a^4 - (5*z^6)/a^10 + 
   (30*z^6)/a^8 - (44*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - 
   (26*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 28045] -> a^(-6) - 3/a^4 + 3/a^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 4*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - 
   (12*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + (20*z^6)/a^4 - (24*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 28046] -> 
  -2 + 5*a^2 - a^4 - a^6 - 9*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28047] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28048] -> 3 - a^(-2) - a^2 + z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 
   15*a^2*z^4 + 8*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 14*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28049] -> 2 - a^(-2) + a^4 - a^6 - 4*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 
   16*a^4*z^4 - 8*a^6*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 + 14*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28050] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 9*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28051] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 8*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (16*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 - (21*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 28052] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   15*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 28053] -> 
  3 - a^(-2) - a^2 + 5*z^2 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 10*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 28054] -> 
  -3 + 2/a^2 + 4*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 6*z^4 - (4*z^4)/a^2 - a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 28055] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 28056] -> 1 + a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28057] -> a^2 + a^4 - a^6 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28058] -> 1 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 15*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28059] -> 1 - 3*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28060] -> a^2 + a^4 - a^6 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 28061] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   3*z^4 + 5*a^2*z^4 - 3*a^6*z^4 + 3*z^6 - 7*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 + 4*z^8 - 12*a^2*z^8 + 10*a^4*z^8 - a^6*z^8 + z^10 - 
   6*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28062] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 15*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 9*z^4 + z^4/a^2 + 24*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28063] -> 
  -5 + 3/a^2 + 3*a^2 - 17*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 + 
   3*a^4*z^2 - 14*z^4 - (7*z^4)/a^4 + (19*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   (5*z^6)/a^4 + (14*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 28064] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28065] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 14*a^2*z^2 - 
   12*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + 20*a^2*z^4 - 9*a^4*z^4 - 
   12*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 2*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28066] -> a^(-6) - 3/a^4 + 3/a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28067] -> 
  -4 + 3/a^2 + a^2 + a^4 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 2*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (3*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28068] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   6*z^4 - (2*z^4)/a^2 - 6*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 28069] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28070] -> 5*a^6 - 5*a^8 + a^10 - 3*a^4*z^2 + 
   20*a^6*z^2 - 13*a^8*z^2 - 2*a^10*z^2 + 3*a^12*z^2 - 7*a^4*z^4 + 
   24*a^6*z^4 - 10*a^8*z^4 - 10*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 
   15*a^6*z^6 + a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 28071] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28072] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 
   a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 28073] -> a^(-6) - 3/a^4 + 3/a^2 - 7*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28074] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 16*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 20*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28075] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 7*z^4 - z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 28076] -> 2*a^2 - a^4 + 3*z^2 - z^2/a^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - 
   z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 28077] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28078] -> 6 + 5/a^4 - 10/a^2 + 17*z^2 - (6*z^2)/a^6 + 
   (29*z^2)/a^4 - (45*z^2)/a^2 + 17*z^4 - (17*z^4)/a^6 + (57*z^4)/a^4 - 
   (68*z^4)/a^2 + 7*z^6 - (17*z^6)/a^6 + (58*z^6)/a^4 - (48*z^6)/a^2 + z^8 - 
   (7*z^8)/a^6 + (32*z^8)/a^4 - (16*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - 
   (2*z^10)/a^2 + z^12/a^4, Knot[15, Alternating, 28079] -> 
  -3 + a^(-6) + 3*a^2 - 15*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   7*a^2*z^2 - 20*z^4 - (7*z^4)/a^6 + (13*z^4)/a^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28080] -> 4 - 6*a^2 + 3*a^4 + 21*z^2 - (5*z^2)/a^2 - 
   30*a^2*z^2 + 11*a^4*z^2 + 42*z^4 - (12*z^4)/a^2 - 49*a^2*z^4 + 
   13*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - 
   (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 28081] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 
   8*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 
   2*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 28082] -> 1 + 4/a^4 - 6/a^2 + 2*a^2 - 
   6*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (15*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   (8*z^4)/a^6 + (20*z^4)/a^4 - (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28083] -> -2 + a^(-6) + a^2 + a^4 - 8*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28084] -> 3*a^4 - 2*a^6 - 2*a^2*z^2 + 16*a^4*z^2 - 
   19*a^6*z^2 + 8*a^8*z^2 - 9*a^2*z^4 + 33*a^4*z^4 - 41*a^6*z^4 + 
   12*a^8*z^4 - 12*a^2*z^6 + 39*a^4*z^6 - 36*a^6*z^6 + 6*a^8*z^6 - 
   6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 28085] -> 
  4*a^4 - 4*a^6 + a^8 + a^2*z^2 + 7*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 
   2*z^4 + 2*a^2*z^4 + 6*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 
   5*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28086] -> 4*a^6 - 3*a^8 - 2*a^4*z^2 + 16*a^6*z^2 - 
   6*a^8*z^2 - 6*a^10*z^2 + 4*a^12*z^2 - 5*a^4*z^4 + 17*a^6*z^4 - 2*a^8*z^4 - 
   13*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 28087] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28088] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 5*a^2*z^2 - 
   4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 2*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28089] -> a^4 + 2*a^6 - 2*a^8 + 11*a^6*z^2 - 
   5*a^8*z^2 - 4*a^10*z^2 + 3*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - 
   11*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 28090] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 13*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   20*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28091] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 28092] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28093] -> -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 28094] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28095] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   11*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   12*a^2*z^4 - 22*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 28096] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 28097] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 - z^2/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28098] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28099] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28100] -> 3*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 28101] -> 2 - 3*a^4 + 2*a^6 - 4*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28102] -> a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + 
   (6*z^2)/a^8 - (14*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (8*z^4)/a^8 - (22*z^4)/a^6 + (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28103] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28104] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28105] -> 1 + a^(-8) - 2/a^6 + a^(-4) + (3*z^2)/a^8 - 
   (6*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28106] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 12*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 28107] -> 1 + 2*z^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 10*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 28108] -> 2 - 2*a^2 + a^4 + z^2 - 5*a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28109] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28110] -> 
  a^(-12) - 6/a^8 + 6/a^6 + (4*z^2)/a^12 - (5*z^2)/a^10 - (14*z^2)/a^8 + 
   (22*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (12*z^4)/a^10 - (9*z^4)/a^8 + 
   (26*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (2*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 28111] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^8 + 
   (6*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - 
   (7*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28112] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28113] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + z^2/a^6 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 28114] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 + 
   z^2/a^6 - z^2/a^4 + 2*a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28115] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 17*z^2 + 
   z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + 2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 28116] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28117] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (2*z^4)/a^4 + z^4/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28118] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 28119] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 28*z^2 - (7*z^2)/a^2 - 35*a^2*z^2 + 
   13*a^4*z^2 + 49*z^4 - (9*z^4)/a^2 - 70*a^2*z^4 + 24*a^4*z^4 + 38*z^6 - 
   (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 28120] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 11*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 21*a^2*z^2 + 8*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 28121] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 8*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 28122] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 4*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (27*z^2)/a^4 - (2*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (41*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (33*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 28123] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (16*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 28124] -> -a^(-8) + a^(-6) + a^(-2) - 3*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (19*z^4)/a^6 + (24*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28125] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - 
   (4*z^2)/a^10 - (3*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28126] -> -4 - 3/a^4 + 7/a^2 + a^2 - 18*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 25*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 28127] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^10 + (12*z^2)/a^8 - 
   (9*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (16*z^4)/a^8 - 
   (12*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 - 
   (2*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28128] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (10*z^2)/a^10 - 
   (6*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (16*z^4)/a^10 - (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28129] -> 
  a^(-12) - 2/a^10 + 2/a^4 - (2*z^2)/a^14 + (9*z^2)/a^12 - (9*z^2)/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (14*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28130] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (5*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + 
   (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - z^6/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 28131] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - 
   (16*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - (4*z^4)/a^6 + (15*z^4)/a^4 - 
   (16*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28132] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 15*a^4*z^2 - 
   6*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 
   7*z^6 + z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28133] -> 
  -1 + 4*a^2 - 4*a^6 + 2*a^8 - 4*z^2 + 10*a^2*z^2 + 4*a^4*z^2 - 18*a^6*z^2 + 
   8*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 3*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28134] -> -a^2 + 9*a^4 - 11*a^6 + 4*a^8 - 2*z^2 + 
   21*a^4*z^2 - 29*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 16*a^4*z^4 - 
   32*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 18*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 28135] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28136] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (4*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (3*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28137] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (3*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28138] -> 
  -a^(-14) + 6/a^12 - 9/a^10 + a^(-8) + 4/a^6 - (4*z^2)/a^14 + 
   (24*z^2)/a^12 - (36*z^2)/a^10 + (7*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (32*z^4)/a^12 - (52*z^4)/a^10 + (3*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (38*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 28139] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - z^2/a^10 - 
   (15*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (7*z^4)/a^10 - (20*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28140] -> 
  -a^(-10) + 6/a^8 - 10/a^6 + 5/a^4 + a^(-2) - (3*z^2)/a^10 + (18*z^2)/a^8 - 
   (26*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (24*z^4)/a^8 - 
   (38*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 28141] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - 
   (12*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 28142] -> -2 - a^(-4) + 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 
   4*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 28143] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 10*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 + 16*a^4*z^4 - 8*a^6*z^4 - 10*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28144] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 27*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (23*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28145] -> -3 + a^(-2) + 4*a^2 - a^6 - 7*z^2 + 
   z^2/a^4 + 7*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28146] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + 
   z^2/a^4 + 9*a^2*z^2 - a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   9*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 28147] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (22*z^2)/a^6 - (22*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (21*z^4)/a^6 - (33*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (19*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28148] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - 
   z^2/a^12 + (6*z^2)/a^10 - (18*z^2)/a^8 + (26*z^2)/a^6 - (13*z^2)/a^4 + 
   (4*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (33*z^4)/a^6 - (23*z^4)/a^4 + 
   (6*z^4)/a^2 - (6*z^6)/a^8 + (18*z^6)/a^6 - (17*z^6)/a^4 + (4*z^6)/a^2 + 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 28149] -> -4*a^2 + 16*a^4 - 16*a^6 + 5*a^8 - 
   16*a^2*z^2 + 62*a^4*z^2 - 66*a^6*z^2 + 22*a^8*z^2 - 17*a^2*z^4 + 
   85*a^4*z^4 - 107*a^6*z^4 + 34*a^8*z^4 - 7*a^2*z^6 + 55*a^4*z^6 - 
   89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 28150] -> 19 + 2/a^4 - 12/a^2 - 8*a^2 + 75*z^2 + 
   (11*z^2)/a^4 - (52*z^2)/a^2 - 28*a^2*z^2 + 117*z^4 + (13*z^4)/a^4 - 
   (75*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + (6*z^6)/a^4 - (50*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28151] -> 
  -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 7*z^2 + 22*a^2*z^2 - 9*a^4*z^2 - 
   14*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 14*a^4*z^4 - 25*a^6*z^4 + 
   12*a^8*z^4 - z^6 + 12*a^2*z^6 - 13*a^4*z^6 - 19*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28152] -> -1 - a^(-2) + 7*a^2 - 4*a^4 + 3*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 12*z^4 + 
   (4*z^4)/a^4 - (20*z^4)/a^2 + 30*a^2*z^4 - 13*a^4*z^4 + 13*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 28153] -> 
  -2*a^2 + 10*a^4 - 10*a^6 + 3*a^8 - 4*z^2 + 7*a^2*z^2 + 13*a^4*z^2 - 
   23*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 25*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28154] -> -1 + 5*a^2 - 4*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 14*a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28155] -> 13 - 4/a^2 - 12*a^2 + 4*a^4 + 36*z^2 - 
   (8*z^2)/a^2 - 44*a^2*z^2 + 16*a^4*z^2 + 51*z^4 - (9*z^4)/a^2 - 
   75*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28156] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 26*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 
   11*a^2*z^2 + 65*z^4 + (8*z^4)/a^4 - (42*z^4)/a^2 - 23*a^2*z^4 + 66*z^6 + 
   (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 28157] -> -1 - 2/a^4 + 4/a^2 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 28158] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (18*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (9*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28159] -> -4 - 3/a^4 + 7/a^2 + a^2 - 20*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   28*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28160] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - 
   (5*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28161] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 25*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (21*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   30*z^4 + z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28162] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 28163] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 50*z^2 + (11*z^2)/a^4 - (41*z^2)/a^2 - 
   17*a^2*z^2 + 80*z^4 + (13*z^4)/a^4 - (62*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + 
   (6*z^6)/a^4 - (44*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 28164] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 7*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 
   15*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28165] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 23*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (11*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28166] -> 1 - 2/a^4 + 3/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 28167] -> 
  -1 - 2/a^4 + 4/a^2 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 28168] -> -2 + 5*a^2 + 2*a^4 - 7*a^6 + 
   3*a^8 - 7*z^2 + 19*a^2*z^2 - 21*a^6*z^2 + 10*a^8*z^2 - 5*z^4 + 
   24*a^2*z^4 - 9*a^4*z^4 - 27*a^6*z^4 + 12*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   12*a^4*z^6 - 19*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 28169] -> 
  7 + a^(-6) - 4/a^4 + a^(-2) - 4*a^2 + 22*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 - 12*a^2*z^2 + 29*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (15*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 28170] -> 
  2 - a^(-2) + 2*a^2 - 2*a^4 - a^6 + a^8 + 6*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   10*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 + 7*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   14*a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 9*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28171] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 11*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 15*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 28172] -> -2 + 7*a^2 - 4*a^4 - a^6 + a^8 + 
   z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 
   5*z^4 - z^4/a^2 + 6*a^2*z^4 - 13*a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28173] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - z^2/a^4 - 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 6*a^4*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 28174] -> -1 - 2/a^4 + 5/a^2 - 3*a^2 + 2*a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 19*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28175] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 12*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28176] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28177] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 28178] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 28179] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 28180] -> 
  -3 + 3/a^4 - 5/a^2 + 11*a^2 - 5*a^4 - 9*z^2 + (11*z^2)/a^4 - (20*z^2)/a^2 + 
   28*a^2*z^2 - 9*a^4*z^2 - 15*z^4 + (13*z^4)/a^4 - (28*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + (6*z^6)/a^4 - (20*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 28181] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 8*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 28182] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28183] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 5*z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28184] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   3*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 28185] -> -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28186] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28187] -> 1 - a^2 + 3*a^6 - 2*a^8 + 
   3*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 18*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 28188] -> 
  -4 - a^(-4) + 3/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 19*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 23*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 28189] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28190] -> 
  2*a^2 - 5*a^4 + 9*a^6 - 6*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 21*a^4*z^2 + 
   26*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 15*a^2*z^4 - 29*a^4*z^4 + 
   27*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28191] -> 1 + a^4 - 2*a^6 + a^8 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 28192] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 28193] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28194] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   a^6*z^2 + 2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 7*a^2*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 28195] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (18*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 28196] -> 
  -5 + 3/a^2 + 3*a^2 - 18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28197] -> -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28198] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28199] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 28200] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 19*a^4*z^4 + 18*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28201] -> 1 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28202] -> a^(-2) - a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28203] -> -2 + 2/a^2 + a^4 + 6*z^2 - 17*a^2*z^2 + 
   8*a^4*z^2 + 28*z^4 - (8*z^4)/a^2 - 40*a^2*z^4 + 12*a^4*z^4 + 38*z^6 - 
   (12*z^6)/a^2 - 36*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 28204] -> 5 - 8*a^2 + 4*a^4 + 32*z^2 - (8*z^2)/a^2 - 
   44*a^2*z^2 + 16*a^4*z^2 + 65*z^4 - (20*z^4)/a^2 - 70*a^2*z^4 + 
   17*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 49*a^2*z^6 + 7*a^4*z^6 + 33*z^8 - 
   (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 28205] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 
   10*z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28206] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 10*z^2 - (4*z^2)/a^2 - 5*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 + 17*z^4 - (8*z^4)/a^2 - 20*a^4*z^4 + 5*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 28207] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^2 - 11*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 13*z^4 - (5*z^4)/a^2 - 
   11*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 28208] -> 4*a^4 - 4*a^6 + a^8 - 
   3*a^2*z^2 + 19*a^4*z^2 - 23*a^6*z^2 + 9*a^8*z^2 - 12*a^2*z^4 + 
   40*a^4*z^4 - 45*a^6*z^4 + 12*a^8*z^4 - 13*a^2*z^6 + 44*a^4*z^6 - 
   37*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 28209] -> 3*a^6 - a^8 - a^10 - a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 5*a^10*z^2 + 3*a^12*z^2 - 4*a^4*z^4 + 15*a^6*z^4 - 2*a^8*z^4 - 
   11*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 28210] -> 
  4*a^6 - 3*a^8 + 2*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 28211] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 16*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28212] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 6*a^6*z^2 + 
   a^8*z^2 - 7*a^10*z^2 + 4*a^12*z^2 - 3*a^4*z^4 + 9*a^6*z^4 + a^8*z^4 - 
   13*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 28213] -> 
  a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 - 
   a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 5*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 28214] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (14*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - (21*z^4)/a^6 + 
   (9*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 28215] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28216] -> -2 + 2/a^2 + a^4 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28217] -> -2 + 2/a^2 + a^4 - 7*z^2 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 28218] -> 
  -2 + a^(-4) + 2*a^2 - 9*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28219] -> a^4 + 3*a^6 - 4*a^8 + a^10 + z^2 + 
   3*a^2*z^2 - 10*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   10*a^2*z^4 - 23*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28220] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 
   8*a^4*z^2 + 13*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   17*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 28221] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   18*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 16*z^4 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (19*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^6 + z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 28222] -> 
  a^(-2) - a^2 + a^4 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 28223] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (6*z^4)/a^6 + 
   (11*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28224] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28225] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 4*z^2 + (7*z^2)/a^8 - (17*z^2)/a^6 + 
   (8*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - (24*z^4)/a^6 + 
   (5*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (16*z^6)/a^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 28226] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28227] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28228] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28229] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (18*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28230] -> 
  1 - a^2*z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28231] -> 
  3 + a^(-6) - 3/a^2 + 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28232] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 28233] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4/a^6 - (4*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 28234] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 5*z^4 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + z^6 - 
   z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28235] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   14*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28236] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 2*z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28237] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 3*z^2 + z^2/a^10 - z^2/a^8 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 28238] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28239] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 - (3*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 28240] -> 
  -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   16*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28241] -> 
  -2 + 2/a^8 - 9/a^6 + 9/a^4 + a^(-2) - 7*z^2 + (5*z^2)/a^8 - (28*z^2)/a^6 + 
   (35*z^2)/a^4 + z^2/a^2 - 9*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (49*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 28242] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (8*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 + (17*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 28243] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + 
   (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28244] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28245] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (5*z^2)/a^12 - (19*z^2)/a^10 + (12*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (28*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 28246] -> a^(-12) - 3/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28247] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (6*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (12*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28248] -> a^(-10) - 5/a^8 + 5/a^6 + z^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 28249] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + (12*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (15*z^4)/a^10 + 
   (13*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (18*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28250] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28251] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + (14*z^4)/a^4 + 
   (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (13*z^6)/a^6 + (21*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 28252] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^8 - z^2/a^6 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28253] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28254] -> 
  -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 - (3*z^2)/a^10 + (20*z^2)/a^8 - 
   (21*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - (3*z^4)/a^10 + (27*z^4)/a^8 - 
   (39*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (33*z^6)/a^6 - (15*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28255] -> 2 - a^(-10) + 4/a^8 - 3/a^6 - a^(-4) + 
   5*z^2 - (2*z^2)/a^10 + (13*z^2)/a^8 - (12*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*z^4 - z^4/a^10 + (11*z^4)/a^8 - (16*z^4)/a^6 - 
   (11*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 - 
   (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28256] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (4*z^2)/a^14 + (15*z^2)/a^12 - (16*z^2)/a^10 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (24*z^4)/a^12 - (27*z^4)/a^10 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - 
   (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 28257] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - 
   (10*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (12*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28258] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (10*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (13*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28259] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 4*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (22*z^2)/a^4 - 6*z^4 + (3*z^4)/a^8 - (22*z^4)/a^6 + (33*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (26*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 28260] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 4*z^2 + 9*a^2*z^2 + 6*a^4*z^2 - 
   16*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 4*a^4*z^4 - 24*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28261] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 54*z^2 + 
   (8*z^2)/a^4 - (37*z^2)/a^2 - 20*a^2*z^2 + 86*z^4 + (10*z^4)/a^4 - 
   (56*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28262] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 28263] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 7*a^2*z^2 + 7*a^4*z^2 - 13*a^6*z^2 + 
   6*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 3*a^4*z^4 - 22*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28264] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 6*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28265] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 23*z^2 - (5*z^2)/a^2 - 30*a^2*z^2 + 12*a^4*z^2 + 
   41*z^4 - (6*z^4)/a^2 - 66*a^2*z^4 + 24*a^4*z^4 + 33*z^6 - (4*z^6)/a^2 - 
   66*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28266] -> 
  2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 13*a^2*z^2 + 
   7*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 22*a^2*z^4 + 10*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28267] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (7*z^2)/a^2 + 
   2*a^2*z^2 - z^4/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (14*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 28268] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (3*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28269] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28270] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   4*z^2 + (3*z^2)/a^8 - (20*z^2)/a^6 + (28*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (24*z^4)/a^6 + (39*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (14*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28271] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - 4*z^2 + 
   7*a^2*z^2 + 16*a^4*z^2 - 30*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 16*a^2*z^4 + 
   3*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 28272] -> 
  -1 + 5*a^2 - 3*a^4 - a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   13*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28273] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 8*a^4*z^4 - 
   15*a^6*z^4 + 8*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 14*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 28274] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 20*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 - 24*z^4 - z^4/a^4 + (10*z^4)/a^2 + 26*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28275] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 11*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 + 17*a^4*z^4 - 9*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28276] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 47*z^2 + 
   (7*z^2)/a^4 - (33*z^2)/a^2 - 17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - 
   (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28277] -> 
  2*a^2 - a^4 + 18*z^2 - (4*z^2)/a^2 - 23*a^2*z^2 + 10*a^4*z^2 + 43*z^4 - 
   (8*z^4)/a^2 - 64*a^2*z^4 + 23*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 
   66*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28278] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 17*a^2*z^4 + 9*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28279] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 16*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28280] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 8*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 28281] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   z^2/a^14 - (5*z^2)/a^12 + (15*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 - 
   (3*z^4)/a^14 + (6*z^4)/a^12 + (12*z^4)/a^10 - (18*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - z^6/a^10 - (14*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 28282] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 - 
   (5*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (4*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - (3*z^6)/a^10 - z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   z^8/a^8 - z^8/a^6, Knot[15, Alternating, 28283] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28284] -> 
  2 - a^(-6) + a^(-4) - a^2 + 10*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 16*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 
   12*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28285] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - a^4*z^2 + 7*z^4 + z^4/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28286] -> -1 + a^2 + 7*a^4 - 9*a^6 + 3*a^8 - 4*z^2 + 
   6*a^2*z^2 + 15*a^4*z^2 - 23*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 
   9*a^4*z^4 - 26*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 2*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 28287] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28288] -> -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 
   z^2 - z^2/a^2 + 8*a^2*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28289] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   13*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 28290] -> -2 + 7*a^2 - 3*a^4 - 3*a^6 + 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 - 7*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 12*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28291] -> 3 - a^(-2) - a^4 - a^6 + a^8 + 6*z^2 - 
   z^2/a^4 - 2*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 28292] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 - 
   a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 9*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 28293] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 28294] -> 
  1 - a^(-2) + 2*a^2 - a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 28295] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (10*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28296] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 19*a^2*z^4 + 9*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 28297] -> 
  2 - 2*a^2 + a^4 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   3*a^4*z^2 - 9*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 28298] -> 
  -2 + 3/a^4 - 5/a^2 + 9*a^2 - 4*a^4 - 8*z^2 + (9*z^2)/a^4 - (17*z^2)/a^2 + 
   24*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + (12*z^4)/a^4 - (25*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + (6*z^6)/a^4 - (19*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 28299] -> 1 + a^(-6) - 3/a^2 + 4*a^2 - 
   2*a^4 + 2*z^2 + (2*z^2)/a^6 - (10*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (12*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 28300] -> 
  -2/a^10 + 5/a^8 - 8/a^4 + 6/a^2 - (7*z^2)/a^10 + (16*z^2)/a^8 + 
   (2*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - (11*z^4)/a^10 + (23*z^4)/a^8 + 
   (7*z^4)/a^6 - (28*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^10 + (18*z^6)/a^8 + 
   (11*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (7*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28301] -> 2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 - (4*z^2)/a^10 + (6*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (6*z^4)/a^8 + (10*z^4)/a^6 - 
   (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28302] -> 4 - a^(-8) + 4/a^6 - 2/a^4 - 4/a^2 + 4*z^2 - 
   (2*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28303] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 - (2*z^2)/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 28304] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (12*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (8*z^4)/a^6 + (17*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28305] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28306] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28307] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 2*z^2 + 5*a^2*z^2 + a^4*z^2 - 
   5*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - 3*z^4 + 4*a^2*z^4 + 5*a^4*z^4 - 
   6*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 6*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 28308] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 
   2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 28309] -> 
  2*a^6 - 3*a^8 + 7*a^10 - 6*a^12 + a^14 + 9*a^6*z^2 - 11*a^8*z^2 + 
   22*a^10*z^2 - 6*a^12*z^2 - 3*a^14*z^2 + 12*a^6*z^4 - 15*a^8*z^4 + 
   19*a^10*z^4 + 8*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 13*a^8*z^6 + 
   a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 4*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 28310] -> 
  a^4 - a^6 + 3*a^8 - 2*a^10 + a^12 - a^14 + 4*a^4*z^2 - 4*a^6*z^2 + 
   11*a^8*z^2 - 3*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 
   5*a^6*z^4 + 8*a^8*z^4 - 2*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 28311] -> -1 + 4*a^2 - 6*a^4 + 8*a^6 - 
   4*a^8 - 7*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 23*a^4*z^2 + 20*a^6*z^2 - 
   4*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 30*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 16*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28312] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 - 3*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28313] -> 2*a^6 - 3*a^8 + 7*a^10 - 6*a^12 + a^14 + 
   9*a^6*z^2 - 10*a^8*z^2 + 21*a^10*z^2 - 7*a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 9*a^6*z^4 - 13*a^8*z^4 + 18*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 11*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 28314] -> -1 + 4*a^2 - 6*a^4 + 8*a^6 - 
   4*a^8 - 7*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 22*a^4*z^2 + 21*a^6*z^2 - 
   5*a^8*z^2 - 10*z^4 + z^4/a^2 + 22*a^2*z^4 - 29*a^4*z^4 + 19*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28315] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 2*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 + 7*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 28316] -> a^4 + a^8 - a^10 + a^12 - a^14 + a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 28317] -> 2*a^6 - a^8 + 3*a^10 - 4*a^12 + 
   a^14 + 2*a^4*z^2 + 3*a^6*z^2 + 10*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 
   3*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 10*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 28318] -> 
  a^4 + a^8 - a^12 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - 
   a^14*z^2 + a^2*z^4 + a^8*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 28319] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28320] -> -2 + a^(-4) + 2*a^2 - 11*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 28321] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28322] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 28323] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28324] -> -1 + a^(-2) + a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 28325] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 10*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28326] -> -1 + a^(-2) + a^2 - 2*z^2 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 28327] -> 
  a^2 + a^4 - a^6 - 2*z^2 + (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28328] -> -1 + a^(-2) + 2*a^4 - a^6 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 28329] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (15*z^4)/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28330] -> 3 + a^(-2) - 7*a^2 + 4*a^4 + 3*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 5*z^4 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - 22*a^2*z^4 + 5*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 28331] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 - z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28332] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28333] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 28334] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 28335] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 4*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 2*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28336] -> 3*a^2 - 3*a^4 + a^6 - 11*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28337] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 13*z^4 - (5*z^4)/a^6 + 
   (11*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28338] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 7*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28339] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 3*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 6*a^2*z^4 - 6*a^4*z^4 + 12*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28340] -> a^2 + a^6 - a^8 - z^2 + 3*a^2*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 28341] -> a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + 
   (6*z^2)/a^8 - (16*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (9*z^4)/a^8 - (23*z^4)/a^6 + (6*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28342] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 + (10*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28343] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 11*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28344] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (17*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + 
   (14*z^4)/a^6 - (17*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 28345] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28346] -> 
  a^(-6) - a^(-4) + a^2 - 4*z^2 - z^2/a^6 + z^2/a^4 + a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 28347] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + 
   (12*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 28348] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 28349] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28350] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 - z^2/a^6 - z^2/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28351] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28352] -> a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + 4*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28353] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 28354] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (16*z^2)/a^14 + 
   (10*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (11*z^4)/a^14 + (25*z^4)/a^12 + (22*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (18*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 28355] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - z^2/a^16 - (6*z^2)/a^14 + 
   (4*z^2)/a^12 + (8*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (9*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 28356] -> -a^(-18) + 7/a^16 - 13/a^14 + 4/a^12 + 
   4/a^10 - z^2/a^18 + (13*z^2)/a^16 - (45*z^2)/a^14 + (30*z^2)/a^12 + 
   (16*z^2)/a^10 + (3*z^4)/a^16 - (45*z^4)/a^14 + (62*z^4)/a^12 + 
   (25*z^4)/a^10 - (3*z^6)/a^16 - (13*z^6)/a^14 + (54*z^6)/a^12 + 
   (19*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 28357] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (7*z^2)/a^14 - z^2/a^12 + 
   (13*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (5*z^4)/a^14 + 
   (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 28358] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - z^2/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 
   23*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28359] -> 
  -5 + 3/a^2 + 3*a^2 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 6*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 28360] -> 
  9 - 2/a^2 - 10*a^2 + 4*a^4 + 34*z^2 - (7*z^2)/a^2 - 47*a^2*z^2 + 
   18*a^4*z^2 + 53*z^4 - (9*z^4)/a^2 - 83*a^2*z^4 + 28*a^4*z^4 + 39*z^6 - 
   (5*z^6)/a^2 - 73*a^2*z^6 + 20*a^4*z^6 + 14*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 28361] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   7*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 13*a^2*z^2 + 8*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 21*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28362] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28363] -> 
  21 + 2/a^4 - 13/a^2 - 9*a^2 + 80*z^2 + (9*z^2)/a^4 - (51*z^2)/a^2 - 
   31*a^2*z^2 + 123*z^4 + (10*z^4)/a^4 - (70*z^4)/a^2 - 41*a^2*z^4 + 98*z^6 + 
   (5*z^6)/a^4 - (46*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 28364] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (11*z^2)/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 15*z^4 + 
   (3*z^4)/a^4 - (17*z^4)/a^2 + 29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 28365] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 - z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28366] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28367] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 
   2*a^2 - 9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 28368] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (5*z^2)/a^16 - (32*z^2)/a^14 + (25*z^2)/a^12 + (16*z^2)/a^10 - 
   (2*z^4)/a^16 - (32*z^4)/a^14 + (58*z^4)/a^12 + (25*z^4)/a^10 - 
   (4*z^6)/a^16 - (7*z^6)/a^14 + (53*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 28369] -> 2/a^16 - 6/a^14 + 3/a^12 + 
   2/a^8 + z^2/a^16 - (15*z^2)/a^14 + (12*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (10*z^4)/a^14 + (23*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 28370] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 28371] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 
   6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 28372] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 11*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28373] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 28374] -> 4 - a^(-2) - 3*a^2 + a^4 + 17*z^2 - 
   (5*z^2)/a^2 - 18*a^2*z^2 + 6*a^4*z^2 + 34*z^4 - (8*z^4)/a^2 - 40*a^2*z^4 + 
   13*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 44*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 28375] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   9*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - (23*z^2)/a^2 + 16*z^4 - (8*z^4)/a^6 + 
   (36*z^4)/a^4 - (49*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - 
   (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 28376] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 10*z^2 - z^2/a^4 - z^2/a^2 - 13*a^2*z^2 + 
   4*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28377] -> -5 + 3/a^2 + 3*a^2 - 19*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (16*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28378] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^8*z^2 - z^4/a^2 + 11*a^2*z^4 - 14*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 28379] -> 
  -5 - a^(-4) + 5/a^2 + 2*a^2 - a^4 + a^6 - 17*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28380] -> 
  -a^4 + 3*a^6 + 3*a^8 - 5*a^10 + a^12 - 5*a^4*z^2 + 8*a^6*z^2 + 24*a^8*z^2 - 
   22*a^10*z^2 + 4*a^12*z^2 - 8*a^4*z^4 + 10*a^6*z^4 + 42*a^8*z^4 - 
   29*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 33*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 28381] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 5*z^2 - 28*a^2*z^2 + 47*a^4*z^2 - 18*a^6*z^2 + 
   8*z^4 - 47*a^2*z^4 + 78*a^4*z^4 - 26*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 
   69*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 28382] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 57*z^2 + 
   (6*z^2)/a^4 - (35*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - 
   (53*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28383] -> 
  -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 28384] -> 
  a^6 + 4*a^8 - 5*a^10 + a^12 - a^2*z^2 - a^4*z^2 + 9*a^6*z^2 + 10*a^8*z^2 - 
   11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 14*a^6*z^4 + 10*a^8*z^4 - 
   9*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 28385] -> -2*a^2 + 7*a^4 - 4*a^6 - 4*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 20*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28386] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 18*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 22*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 23*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 28*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28387] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + z^2/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (2*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 28388] -> 
  2 + a^(-8) - 2/a^4 + 3*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28389] -> -a^(-4) + 2/a^2 - z^2/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (8*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28390] -> 1 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28391] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28392] -> 1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 + z^2/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28393] -> 
  1 - z^2 + z^2/a^4 - a^2*z^2 + a^6*z^2 - z^4 - z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28394] -> 
  2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 4*z^2 + (7*z^2)/a^8 - (30*z^2)/a^6 + 
   (36*z^2)/a^4 - (5*z^2)/a^2 - 8*z^4 + (5*z^4)/a^8 - (37*z^4)/a^6 + 
   (51*z^4)/a^4 - 5*z^6 + z^6/a^8 - (18*z^6)/a^6 + (38*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 28395] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 4*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (2*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (11*z^4)/a^6 + 
   (6*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 28396] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (16*z^2)/a^4 - (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 - z^4/a^6 + (18*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 28397] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 2*z^2 + z^2/a^10 - z^2/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 28398] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 18*z^2 + (4*z^2)/a^4 - (17*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 35*z^4 + (4*z^4)/a^4 - (27*z^4)/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 31*z^6 + z^6/a^4 - (16*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 
   13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 28399] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - 
   16*a^2*z^2 + 17*a^4*z^2 - 5*a^6*z^2 + (2*z^4)/a^2 - 17*a^2*z^4 + 
   21*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28400] -> 5 + 2/a^4 - 5/a^2 - a^2 + 12*z^2 + z^2/a^6 - 
   z^2/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 16*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28401] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 28402] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (19*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28403] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 - (4*z^2)/a^6 + (19*z^2)/a^4 - 
   (21*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 - (4*z^4)/a^6 + (28*z^4)/a^4 - 
   (38*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + (16*z^6)/a^4 - (32*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 28404] -> 
  2 - 2*a^2 + a^4 + 8*z^2 - (2*z^2)/a^4 + z^2/a^2 - 12*a^2*z^2 + 4*a^4*z^2 + 
   8*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 17*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + 
   (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28405] -> 
  2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (16*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 28406] -> 10 - 2/a^2 - 11*a^2 + 3*a^4 + a^6 + 33*z^2 - 
   (7*z^2)/a^2 - 39*a^2*z^2 + 2*a^4*z^2 + 7*a^6*z^2 + 40*z^4 - (5*z^4)/a^2 - 
   57*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 + 19*z^6 - z^6/a^2 - 42*a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 + 3*z^8 - 15*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - 
   2*a^2*z^10 - a^4*z^10, Knot[15, Alternating, 28407] -> 
  -1 - a^(-4) + 4/a^2 - 3*a^2 + a^4 + a^6 - z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 16*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 5*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 - 22*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 28408] -> -a^2 + 8*a^4 - 9*a^6 + 3*a^8 - 2*z^2 - 
   2*a^2*z^2 + 23*a^4*z^2 - 26*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 
   19*a^4*z^4 - 29*a^6*z^4 + 9*a^8*z^4 - z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 28409] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   17*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28410] -> 5 - 7*a^2 + 2*a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 21*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - z^4 - 
   z^4/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 - 14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 28411] -> 2/a^2 - 3*a^2 + a^4 + a^6 - 
   5*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 8*a^2*z^4 + a^6*z^4 - 
   5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 28412] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28413] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28414] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28415] -> a^(-2) - a^2 + a^4 - 5*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 28416] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + 
   (16*z^2)/a^2 + a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + 
   (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28417] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (21*z^4)/a^8 - (27*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 28418] -> a^(-10) - 5/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (7*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (29*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (28*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 28419] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 19*z^4 - z^4/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28420] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 28421] -> 
  -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 15*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28422] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 18*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28423] -> 
  2*a^2 - a^4 + 3*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28424] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 + 5*z^2 - 25*a^2*z^2 + 39*a^4*z^2 - 15*a^6*z^2 + 
   8*z^4 - 46*a^2*z^4 + 73*a^4*z^4 - 25*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 
   68*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 28425] -> 4 + a^(-4) - 3/a^2 - a^2 + 21*z^2 + 
   (6*z^2)/a^4 - (20*z^2)/a^2 - 7*a^2*z^2 + 46*z^4 + (9*z^4)/a^4 - 
   (39*z^4)/a^2 - 15*a^2*z^4 + 48*z^6 + (5*z^6)/a^4 - (33*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28426] -> 
  2 - 6*a^2 + 9*a^4 - 4*a^6 - z^2 + z^2/a^2 - 11*a^2*z^2 + 23*a^4*z^2 - 
   9*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28427] -> 
  -1 - 2/a^4 + 4/a^2 + 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 28*z^4 + 
   (4*z^4)/a^4 - (18*z^4)/a^2 - 11*a^2*z^4 + 41*z^6 + (4*z^6)/a^4 - 
   (25*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28428] -> 
  -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 7*z^2 + 17*a^2*z^2 + a^4*z^2 - 
   16*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 4*a^4*z^4 - 21*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 11*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28429] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 2*a^8*z^2 + 7*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 11*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28430] -> -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28431] -> 3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 - z^2/a^4 - 
   a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 28432] -> a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28433] -> 
  -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 4*a^2*z^2 + 17*a^4*z^2 - 
   20*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 11*a^2*z^4 + 12*a^4*z^4 - 23*a^6*z^4 + 
   8*a^8*z^4 - z^6 + 9*a^2*z^6 - a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28434] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (9*z^4)/a^6 - (7*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28435] -> -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 
   7*a^4*z^2 + 15*a^6*z^2 + 15*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 23*a^6*z^4 + 19*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 16*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 28436] -> -1 + 3*a^2 + a^4 - 3*a^6 + 
   a^8 - 2*z^2 - z^2/a^2 + 9*a^2*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28437] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 8*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28438] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 9*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28439] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 28440] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 53*z^2 + (9*z^2)/a^4 - (39*z^2)/a^2 - 
   19*a^2*z^2 + 83*z^4 + (12*z^4)/a^4 - (59*z^4)/a^2 - 26*a^2*z^4 + 70*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 28441] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + 
   (9*z^2)/a^8 - (36*z^2)/a^6 + (46*z^2)/a^4 - (15*z^2)/a^2 + (12*z^4)/a^8 - 
   (58*z^4)/a^6 + (78*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 28442] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 8*z^2 + 
   (5*z^2)/a^8 - (14*z^2)/a^6 + (4*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (9*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28443] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 25*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (11*z^2)/a^2 - 10*a^2*z^2 + 28*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 28444] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28445] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 10*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - 5*a^2*z^4 + 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 28446] -> 
  3 - 5*a^2 + 3*a^4 + a^6 - a^8 + 6*z^2 - 13*a^2*z^2 + a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + 8*z^4 - 18*a^2*z^4 - 5*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 14*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 28447] -> a^(-2) - a^2 + 2*a^6 - a^8 + z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 28448] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 
   7*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28449] -> -1 + a^(-2) + a^2 - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   6*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28450] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28451] -> 6*a^2 - 9*a^4 + 5*a^6 - 2*a^8 + 
   a^10 - 4*z^2 + 17*a^2*z^2 - 27*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 - 4*z^4 + 19*a^2*z^4 - 31*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 10*a^2*z^6 - 18*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28452] -> 3 - 3*a^2 + a^4 - a^8 + a^10 + 6*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   6*z^4 - z^4/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 28453] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 + 
   6*a^2*z^2 - 5*a^4*z^2 - 7*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 
   3*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 28454] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 
   2*a^6 - 12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28455] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 15*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 28456] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 + 8*a^2*z^2 - 4*a^4*z^2 - 8*a^6*z^2 + 
   5*a^8*z^2 - 6*z^4 + 12*a^2*z^4 - a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28457] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + (8*z^4)/a^4 - 
   (17*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28458] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 28459] -> -2 + 6*a^2 - 3*a^4 - 7*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 28460] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 28461] -> 6 - 10*a^2 + 5*a^4 + 32*z^2 - 
   (7*z^2)/a^2 - 48*a^2*z^2 + 18*a^4*z^2 + 63*z^4 - (19*z^4)/a^2 - 
   73*a^2*z^4 + 18*a^4*z^4 + 62*z^6 - (18*z^6)/a^2 - 50*a^2*z^6 + 7*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 28462] -> 
  1 + 2/a^2 - 6*a^2 + 4*a^4 - z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 18*a^2*z^2 + 
   8*a^4*z^2 + 2*z^4 - (7*z^4)/a^4 + (14*z^4)/a^2 - 21*a^2*z^4 + 5*a^4*z^4 + 
   7*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28463] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 9*z^2 - 
   (3*z^2)/a^2 - 7*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 + 16*z^4 - (8*z^4)/a^2 - 
   a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 28464] -> -3 + 3/a^2 + a^2 - 2*a^4 + 
   2*a^6 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 4*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28465] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28466] -> 2*a^2 - 2*a^6 + a^8 - 2*z^2 + 8*a^2*z^2 - 
   5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 13*a^2*z^4 - 7*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28467] -> 5*a^6 - 5*a^8 + a^10 + a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + a^12*z^2 - a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - 
   5*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 28468] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   10*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 28469] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (9*z^2)/a^2 - 
   4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28470] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28471] -> 3 - a^(-2) - 2*a^4 + a^6 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28472] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - 4*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28473] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 28474] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28475] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28476] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 13*z^4 - (5*z^4)/a^6 + (11*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28477] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28478] -> a^(-4) - a^(-2) + a^2 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28479] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   (2*z^2)/a^14 + (2*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (4*z^4)/a^12 + (5*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28480] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 13*z^2 - (7*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + 17*z^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   12*z^6 - (4*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 28481] -> 
  a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + (2*z^2)/a^12 - (15*z^2)/a^10 + 
   (13*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (22*z^4)/a^10 + 
   (31*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28482] -> -a^(-14) + 2/a^12 - 3/a^10 + a^(-8) + 
   2/a^6 - (4*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 + (7*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (23*z^4)/a^12 - (26*z^4)/a^10 + (7*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 28483] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + (3*z^2)/a^16 - 
   (18*z^2)/a^14 + (11*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - 
   (14*z^4)/a^14 + (23*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 28484] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (16*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (19*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 28485] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (10*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - 
   (19*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (20*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28486] -> a^(-10) - 5/a^8 + 5/a^6 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (14*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28487] -> 4 - a^(-2) - 3*a^2 + a^4 + 15*z^2 - 
   (3*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 29*z^4 - (5*z^4)/a^2 - 45*a^2*z^4 + 
   16*a^4*z^4 + 27*z^6 - (4*z^6)/a^2 - 48*a^2*z^6 + 14*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 28488] -> -a^(-6) + a^(-4) + a^(-2) + 
   z^2/a^4 + z^2/a^2 + 6*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - (14*z^4)/a^2 + 
   9*z^6 - (3*z^6)/a^6 + (17*z^6)/a^4 - (27*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (10*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 28489] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 
   11*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 + 14*a^4*z^2 - 9*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 + 22*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28490] -> 
  -1 + 6*a^4 - 4*a^6 - 13*a^2*z^2 + 34*a^4*z^2 - 15*a^6*z^2 + 4*z^4 - 
   33*a^2*z^4 + 69*a^4*z^4 - 25*a^6*z^4 + 4*z^6 - 31*a^2*z^6 + 67*a^4*z^6 - 
   19*a^6*z^6 + z^8 - 13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 28491] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2 + z^2/a^4 + z^2/a^2 - 5*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (12*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (18*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28492] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 18*z^2 - 
   z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 40*z^4 + (2*z^4)/a^4 - (18*z^4)/a^2 - 
   15*a^2*z^4 + 46*z^6 + (3*z^6)/a^4 - (22*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 28493] -> a^(-8) - 4/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 
   (5*z^4)/a^10 + (12*z^4)/a^8 - (4*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28494] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28495] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28496] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   z^4 - z^4/a^10 + (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28497] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28498] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28499] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (15*z^2)/a^4 - z^2/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (20*z^4)/a^6 + (26*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (13*z^6)/a^6 + (24*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28500] -> -2 - a^(-4) + 4/a^2 - a^2 + a^6 - 12*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28501] -> 
  6*a^4 - 8*a^6 + 3*a^8 - 4*z^2 + 6*a^2*z^2 + 13*a^4*z^2 - 24*a^6*z^2 + 
   9*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 7*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28502] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28503] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (21*z^4)/a^4 - (28*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (14*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 28504] -> -1 + 2/a^2 - a^2 + a^6 - 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 28505] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28506] -> 
  2*a^2 - a^4 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 28507] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28508] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 28509] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28510] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28511] -> 1 + 12*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 
   4*a^2*z^2 + 36*z^4 + (8*z^4)/a^4 - (32*z^4)/a^2 - 12*a^2*z^4 + 43*z^6 + 
   (5*z^6)/a^4 - (31*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 28512] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 28513] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^4 + z^2/a^2 + (4*z^4)/a^8 - 
   (12*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + (4*z^6)/a^8 - (20*z^6)/a^6 + 
   (24*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - 
   (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 28514] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 2*z^2 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28515] -> a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28516] -> -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 28517] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28518] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2/a^2 + 9*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 
   3*z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 28519] -> 
  4*a^2 - 4*a^4 + a^8 - 4*z^2 + 15*a^2*z^2 - 13*a^4*z^2 - 5*a^6*z^2 + 
   5*a^8*z^2 - 8*z^4 + 20*a^2*z^4 - 10*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 
   5*z^6 + 15*a^2*z^6 + 2*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28520] -> 1 + 3*a^2 - 6*a^4 + 3*a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 14*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - 10*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28521] -> -2 + 6*a^2 - 3*a^4 - z^2/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 28522] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28523] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 - 
   10*a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 
   7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 28524] -> -1 + a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (18*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28525] -> 
  6*a^2 - 9*a^4 + 5*a^6 - 2*a^8 + a^10 - 4*z^2 + 17*a^2*z^2 - 28*a^4*z^2 + 
   17*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 6*z^4 + 24*a^2*z^4 - 33*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28526] -> 
  a^2 + a^4 - a^6 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 28527] -> 2*a^2 - a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28528] -> 
  5 - 8*a^2 + 4*a^4 + 20*z^2 - (4*z^2)/a^2 - 32*a^2*z^2 + 12*a^4*z^2 + 
   41*z^4 - (12*z^4)/a^2 - 50*a^2*z^4 + 13*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 
   38*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 28529] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 15*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28530] -> 4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 
   11*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 5*a^2*z^4 + 20*a^4*z^4 - 
   26*a^6*z^4 + 8*a^8*z^4 - 8*a^2*z^6 + 26*a^4*z^6 - 26*a^6*z^6 + 5*a^8*z^6 - 
   5*a^2*z^8 + 19*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 28531] -> 
  1 + 8*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 20*z^4 - (5*z^4)/a^2 - 
   25*a^2*z^4 + 8*a^4*z^4 + 26*z^6 - (8*z^6)/a^2 - 26*a^2*z^6 + 5*a^4*z^6 + 
   19*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 28532] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 22*a^4*z^4 + 
   20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28533] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (17*z^4)/a^6 + (8*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28534] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28535] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28536] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + (3*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28537] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28538] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (16*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28539] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (4*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (10*z^4)/a^10 - (18*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28540] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 28541] -> 
  a^(-2) - a^2 + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 28542] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 7*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 28543] -> 2 + a^(-4) - 2/a^2 + 19*z^2 + 
   (3*z^2)/a^4 - (15*z^2)/a^2 - 8*a^2*z^2 + 41*z^4 + (9*z^4)/a^4 - 
   (33*z^4)/a^2 - 12*a^2*z^4 + 36*z^6 + (12*z^6)/a^4 - (39*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 28544] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28545] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 10*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 11*z^4 + 
   (5*z^4)/a^4 - (14*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28546] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (9*z^2)/a^2 - 
   4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28547] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28548] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 28549] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28550] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 28551] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28552] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 28553] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 4*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6/a^2 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 28554] -> -3 + 2/a^2 + 2*a^2 - z^2/a^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 + 11*z^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 28555] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   3*z^2 - (3*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 - 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28556] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (6*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + (7*z^4)/a^8 - (12*z^4)/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (13*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 28557] -> 
  -1 + a^(-2) + a^2 - z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28558] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 - 6*z^4 + 16*a^2*z^4 - 9*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 12*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28559] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 28560] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28561] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 - 5*a^2*z^4 + 18*a^4*z^4 - 21*a^6*z^4 + 7*a^8*z^4 - 
   8*a^2*z^6 + 26*a^4*z^6 - 25*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 19*a^4*z^8 - 
   12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 28562] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   10*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 
   11*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 28563] -> -2 + a^(-2) + 2*a^2 + a^4 - 
   a^6 - 14*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 21*z^4 + 
   (8*z^4)/a^2 + 7*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   2*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28564] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - z^2 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + (16*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (11*z^4)/a^8 + (19*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 28565] -> -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (13*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28566] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 7*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28567] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28568] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 28569] -> 1 - a^4 + 2*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 2*a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 7*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28570] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 28571] -> 
  3 - 9*a^2 + 12*a^4 - 5*a^6 + 12*z^2 - 42*a^2*z^2 + 49*a^4*z^2 - 
   16*a^6*z^2 + 21*z^4 - 71*a^2*z^4 + 71*a^4*z^4 - 17*a^6*z^4 + 18*z^6 - 
   64*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 28572] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 13*z^2 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 - 18*z^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 20*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 28573] -> 3 - 7*a^2 + 7*a^4 - a^6 - a^8 + 
   8*z^2 - 22*a^2*z^2 + 15*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 9*z^4 - 
   26*a^2*z^4 + 9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 16*a^2*z^6 - 
   2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 28574] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 5*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   10*a^4*z^2 - 2*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 7*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28575] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28576] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28577] -> 
  -5 + 2/a^2 + 5*a^2 - a^6 - 20*z^2 + (7*z^2)/a^2 + 13*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 25*z^4 + (9*z^4)/a^2 + 9*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 
   16*z^6 + (5*z^6)/a^2 - 2*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28578] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 9*z^2 + (4*z^2)/a^2 + 7*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - 7*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28579] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 16*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28580] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28581] -> 
  -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 10*z^2 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28582] -> 
  -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 28583] -> a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 
   7*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   16*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28584] -> 1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 28585] -> -2 + 2/a^6 - 4/a^4 + 4/a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28586] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 28587] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28588] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + (16*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + 
   (7*z^4)/a^8 + (14*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28589] -> -4 - 3/a^6 + 5/a^4 + a^(-2) + 2*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28590] -> -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 28591] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 
   4/a^2 - 5*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (12*z^2)/a^2 - 
   4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28592] -> -4 - 3/a^6 + 5/a^4 + a^(-2) + 2*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28593] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28594] -> 2 - a^(-10) + 3/a^8 - 5/a^6 + 6/a^4 - 
   4/a^2 + 3*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28595] -> 2 - 2/a^6 + 4/a^4 - 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 28596] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   5*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 28597] -> 
  2 - 2/a^6 + 4/a^4 - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 28598] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   5*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 28599] -> 
  -5 + 2/a^8 - 5/a^6 - 2/a^4 + 11/a^2 - 14*z^2 + (6*z^2)/a^8 - (19*z^2)/a^6 + 
   (3*z^2)/a^4 + (29*z^2)/a^2 - 14*z^4 + (4*z^4)/a^8 - (23*z^4)/a^6 + 
   (13*z^4)/a^4 + (33*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (14*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28600] -> 
  -3*a^2 + 7*a^4 + a^6 - 6*a^8 + 2*a^10 - 2*z^2 - 5*a^2*z^2 + 18*a^4*z^2 + 
   5*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 - 2*a^2*z^4 + 21*a^4*z^4 + 
   8*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 13*a^4*z^6 + 
   7*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 28601] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   14*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 20*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28602] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (15*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 28603] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 28604] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 4*z^2 + z^2/a^8 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28605] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (17*z^2)/a^2 + a^2*z^2 - 11*z^4 - (3*z^4)/a^6 - z^4/a^4 + (17*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28606] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + 
   (5*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 28607] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28608] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 8*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28609] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 4*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - (6*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28610] -> 1 + a^(-6) - 2/a^4 + a^(-2) + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28611] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^8 - (7*z^4)/a^4 + (11*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28612] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 11*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^6 - 
   (7*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 28613] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^10 - 
   (10*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 - 
   z^4/a^8 + (15*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28614] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 14*z^2 + 
   z^2/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 19*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - 13*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 28615] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   2*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28616] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + z^2/a^4 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 4*z^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 - z^6/a^2 + 3*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + 
   z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 28617] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28618] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   (20*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (6*z^6)/a^8 + 
   (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28619] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (9*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28620] -> -2 - 3/a^4 + 6/a^2 - 11*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 16*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 28621] -> 
  3 + 3/a^4 - 7/a^2 + 5*a^2 - 3*a^4 + 4*z^2 + (9*z^2)/a^4 - (21*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 + (10*z^4)/a^4 - (26*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28622] -> 3 + a^(-6) - a^(-4) - 2/a^2 + a^2 - a^4 + 
   9*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 28623] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 4*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28624] -> 1 + 3/a^4 - 6/a^2 + 6*a^2 - 3*a^4 + 2*z^2 + 
   (8*z^2)/a^4 - (19*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 2*z^4 + 
   (8*z^4)/a^4 - (21*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28625] -> 
  1 - a^(-10) + 3/a^8 - 5/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (11*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28626] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + (8*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   z^4/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28627] -> 1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - 
   z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 28628] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28629] -> 
  1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (5*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28630] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 28631] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28632] -> -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28633] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28634] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (8*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28635] -> 3 + 3/a^4 - 7/a^2 + 5*a^2 - 3*a^4 + z^2 + 
   (8*z^2)/a^4 - (18*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + 
   (8*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   (4*z^6)/a^4 - (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28636] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 28637] -> 2*a^4 - a^8 - 2*z^2 + z^2/a^2 - a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28638] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 28639] -> 4*a^2 - 6*a^4 + 6*a^6 - 5*a^8 + 2*a^10 - 
   2*z^2 + 13*a^2*z^2 - 24*a^4*z^2 + 20*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 15*a^2*z^4 - 31*a^4*z^4 + 24*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 28640] -> 
  -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 23*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (24*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 26*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (32*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28641] -> 
  2 - 2*a^2 + 2*a^4 - a^6 - a^8 + a^10 + 5*z^2 - z^2/a^2 - 7*a^2*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 - 
   2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28642] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 28643] -> 
  -2 + 2/a^4 - 2/a^2 + 4*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28644] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - z^2 + z^2/a^8 - (4*z^2)/a^4 + 
   a^2*z^2 - a^4*z^2 + 3*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 28645] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - 
   z^2/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28646] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28647] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 28648] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 - z^2/a^6 - 
   z^2/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28649] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*z^6 + z^6/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   3*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28650] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28651] -> 
  2 - 3*a^2 + 6*a^4 - 7*a^6 + 3*a^8 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   8*a^4*z^2 - 15*a^6*z^2 + 6*a^8*z^2 + 6*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   2*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28652] -> -1 + a^(-2) + 2*a^2 - 3*a^6 + 2*a^8 - 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 28653] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28654] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 28655] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28656] -> a^(-10) - 5/a^8 + 5/a^6 + z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28657] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 28658] -> 4 - 6*a^2 + 3*a^4 + 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 4*a^4*z^2 + 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 28659] -> 1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28660] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 28661] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   9*a^2*z^2 + 3*a^6*z^2 - z^4/a^4 + (6*z^4)/a^2 - 13*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28662] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28663] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 28664] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 10*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 28665] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   6*z^4 + z^4/a^2 + 11*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28666] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 2*z^2 + z^2/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (17*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 28667] -> -2 - a^(-4) + 3/a^2 + a^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 28668] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (7*z^2)/a^8 - (17*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (9*z^4)/a^10 - z^4/a^8 - (23*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 28669] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + z^4 + (3*z^4)/a^10 - z^4/a^8 - 
   (8*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 28670] -> 
  7 - a^(-6) + 4/a^4 - 7/a^2 - 2*a^2 + 14*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 28671] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 28672] -> 
  1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   8*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28673] -> 4 - 6*a^2 + 3*a^4 + 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 4*a^4*z^2 + 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 28674] -> 2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 - 11*a^2*z^4 + 7*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 28675] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + 
   (11*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 + 
   (14*z^4)/a^4 - (14*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28676] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28677] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 28678] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   7*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28679] -> -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 28680] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + 2*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28681] -> 1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 + z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28682] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   19*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 28*z^4 + z^4/a^6 - (10*z^4)/a^4 + (26*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28683] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   7*a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 28684] -> -3 + 8*a^2 - 4*a^4 - 11*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28685] -> -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 5*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28686] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 22*z^4 - (3*z^4)/a^6 + 
   (14*z^4)/a^4 - (8*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 28687] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 28688] -> -2 + 5*a^2 - a^4 - a^6 - 4*z^2 + 8*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 11*a^4*z^4 - 
   6*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28689] -> 1 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 28690] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28691] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 28692] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28693] -> 
  2 - a^(-2) + a^4 - a^6 + 2*z^2 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28694] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (4*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 28695] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 28696] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - z^2/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 - 
   z^4/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28697] -> -3 + 8*a^2 - 4*a^4 - 6*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 10*a^2*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 28698] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28699] -> 
  2*a^2 - a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   10*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 28700] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28701] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 28702] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 5*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 28703] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 
   4*z^2 + z^2/a^6 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28704] -> 2 - a^(-2) + a^4 - a^6 + z^2 - z^2/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 28705] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 7*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28706] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 
   3*z^2 + z^2/a^2 + 8*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28707] -> 
  1 - a^2 + 4*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 9*a^4*z^2 + 15*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 18*a^4*z^4 + 19*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28708] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 - 2*a^4*z^2 + 
   7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 28709] -> 
  1 - a^2 + a^4 + a^6 - a^8 + a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 28710] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + a^2*z^2 - 
   4*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   14*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 28711] -> 1 - a^2 + a^4 + a^6 - a^8 - 
   2*z^2 + z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28712] -> 
  2*a^2 - a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28713] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 28714] -> 
  1 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28715] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28716] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 - 
   a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 28717] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 11*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28718] -> 2*a^4 - a^8 - a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 28719] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 28720] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 28721] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   9*z^4 - z^4/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 28722] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28723] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28724] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   7*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 28725] -> 
  3*a^2 - 3*a^4 + a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28726] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 - z^2/a^4 - 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28727] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 28728] -> 
  1 + a^2 - 2*a^4 + a^6 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28729] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 28730] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - 10*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - z^4/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28731] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 + (2*z^2)/a^4 + z^2/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (6*z^4)/a^4 - (7*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28732] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + 3*a^2*z^2 - 
   5*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 4*a^2*z^4 - 9*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 28733] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28734] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - 
   (9*z^4)/a^6 - (6*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (3*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28735] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28736] -> 1 - z^2 + z^2/a^8 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (11*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28737] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28738] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-2) - (3*z^2)/a^12 + (11*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (19*z^4)/a^8 + 
   (10*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 28739] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^2 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 28740] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 28741] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28742] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28743] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 30*z^2 - 
   (7*z^2)/a^2 - 40*a^2*z^2 + 15*a^4*z^2 + 50*z^4 - (9*z^4)/a^2 - 
   74*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 28744] -> 
  4 - 6*a^2 + 3*a^4 + 6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 19*a^2*z^2 + 
   8*a^4*z^2 - (2*z^4)/a^4 + (10*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28745] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 5*z^2 - 36*a^2*z^2 + 63*a^4*z^2 - 26*a^6*z^2 + 
   8*z^4 - 59*a^2*z^4 + 110*a^4*z^4 - 38*a^6*z^4 + 5*z^6 - 43*a^2*z^6 + 
   93*a^4*z^6 - 25*a^6*z^6 + z^8 - 15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 28746] -> 1 - 5*a^2 + 10*a^4 - 5*a^6 - 6*z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 29*a^4*z^2 - 14*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 + 35*a^4*z^4 - 14*a^6*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28747] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 28748] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 6*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28749] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (19*z^2)/a^4 - z^2/a^2 - 6*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (29*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 28750] -> 
  a^(-12) - 6/a^10 + 6/a^8 + (4*z^2)/a^12 - (22*z^2)/a^10 + (26*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + (42*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (33*z^6)/a^8 + 
   (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 28751] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (16*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (5*z^4)/a^8 + (19*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 28752] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   3*z^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (6*z^4)/a^6 + (17*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28753] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28754] -> -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (11*z^2)/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (18*z^4)/a^10 - 
   (14*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 28755] -> a^(-12) - 2/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (10*z^2)/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (15*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28756] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + 
   (6*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 28757] -> 1 + a^(-8) - a^(-6) - a^(-4) + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (13*z^4)/a^8 - (17*z^4)/a^6 - 
   (14*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - (11*z^6)/a^4 - 
   (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28758] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 28759] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   3*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28760] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 4*z^2 + 9*a^2*z^2 + 7*a^4*z^2 - 
   19*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 4*a^4*z^4 - 25*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28761] -> -1 + 4*a^2 - 4*a^6 + 2*a^8 - z^2 - z^2/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28762] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - 3*z^2 + 
   7*a^2*z^2 + 8*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 
   3*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 28763] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 5*z^2 + z^2/a^2 + 18*a^4*z^2 - 9*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28764] -> 
  6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 2*a^2*z^2 + 13*a^4*z^2 - 20*a^6*z^2 + 
   7*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 9*a^4*z^4 - 22*a^6*z^4 + 7*a^8*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 28765] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (4*z^2)/a^10 - (14*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (2*z^4)/a^10 - (19*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28766] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 28767] -> -a^(-10) + 6/a^8 - 9/a^6 + 3/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (28*z^2)/a^8 - (37*z^2)/a^6 + (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (35*z^4)/a^8 - (56*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (17*z^6)/a^8 - (40*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (14*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 28768] -> 2/a^10 - 6/a^8 + 4/a^6 + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - (13*z^2)/a^8 + (9*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (3*z^4)/a^10 - (16*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 28769] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (6*z^4)/a^6 - (25*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (14*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28770] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28771] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 13*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 + 
   12*a^4*z^2 - 7*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 + 20*a^4*z^4 - 
   9*a^6*z^4 - 10*z^6 + z^6/a^2 + 9*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28772] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 9*z^2 + 
   z^2/a^4 + 12*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28773] -> -6 + 3/a^2 + 5*a^2 - a^4 - 24*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   30*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28774] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 5*z^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   11*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 7*a^4*z^4 - 19*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28775] -> -2 + 5*a^2 - a^4 - a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 + 18*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28776] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   23*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 25*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   29*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28777] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 54*z^2 + 
   (7*z^2)/a^4 - (36*z^2)/a^2 - 20*a^2*z^2 + 85*z^4 + (9*z^4)/a^4 - 
   (53*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28778] -> 
  14 - 4/a^2 - 14*a^2 + 5*a^4 + 53*z^2 - (12*z^2)/a^2 - 67*a^2*z^2 + 
   25*a^4*z^2 + 75*z^4 - (13*z^4)/a^2 - 112*a^2*z^4 + 37*a^4*z^4 + 50*z^6 - 
   (6*z^6)/a^2 - 93*a^2*z^6 + 25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 28779] -> 2/a^8 - 12/a^6 + 17/a^4 - 6/a^2 + 
   (9*z^2)/a^8 - (48*z^2)/a^6 + (73*z^2)/a^4 - (27*z^2)/a^2 + (12*z^4)/a^8 - 
   (71*z^4)/a^6 + (116*z^4)/a^4 - (38*z^4)/a^2 + (6*z^6)/a^8 - (49*z^6)/a^6 + 
   (94*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 28780] -> 2/a^8 - 11/a^6 + 15/a^4 - 5/a^2 - 6*z^2 + 
   (5*z^2)/a^8 - (25*z^2)/a^6 + (32*z^2)/a^4 - 9*z^4 + (4*z^4)/a^8 - 
   (24*z^4)/a^6 + (30*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (11*z^6)/a^6 + (17*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28781] -> -3 - 2/a^4 + 6/a^2 - 2*a^2 + 2*a^4 - 
   10*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 - 17*a^2*z^2 + 11*a^4*z^2 - 16*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 - 28*a^2*z^4 + 13*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 20*a^2*z^6 + 6*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28782] -> 
  -3 - 2/a^6 + 6/a^2 - 12*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + (8*z^2)/a^4 + 
   (21*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + (16*z^4)/a^4 + 
   (29*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + (14*z^6)/a^4 + 
   (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 28783] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 
   3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (18*z^2)/a^2 - 
   3*a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 - z^4/a^4 + (18*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28784] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (22*z^2)/a^6 - (21*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (26*z^4)/a^6 - (29*z^4)/a^4 + (15*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 28785] -> 1 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 28786] -> 
  -a^4 + 3*a^6 + 3*a^8 - 5*a^10 + a^12 - 2*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 + 
   14*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 15*a^6*z^4 + 
   19*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 28787] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 47*z^2 + 
   (11*z^2)/a^4 - (40*z^2)/a^2 - 16*a^2*z^2 + 79*z^4 + (13*z^4)/a^4 - 
   (62*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - (44*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 28788] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 24*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (14*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (6*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28789] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   10*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28790] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 28791] -> 
  2 - a^(-2) + a^2 - 2*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28792] -> 2 - a^(-2) + a^4 - a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 10*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 28793] -> 2*a^2 - a^4 - z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 28794] -> 
  5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 17*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 - 9*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 28795] -> -2/a^4 + 5/a^2 - 5*a^2 + 3*a^4 - 7*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 - 19*a^2*z^2 + 11*a^4*z^2 - 15*z^4 - 
   (4*z^4)/a^4 + (22*z^4)/a^2 - 28*a^2*z^4 + 13*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 20*a^2*z^6 + 6*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 28796] -> 
  a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 + (4*z^2)/a^10 - (15*z^2)/a^8 + 
   (8*z^2)/a^6 + (18*z^2)/a^4 - (9*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (14*z^4)/a^6 + (26*z^4)/a^4 - (12*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (13*z^6)/a^6 + (19*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 + 
   (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 28797] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - 
   2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (11*z^2)/a^4 - 
   z^2/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 + (13*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 28798] -> -1 - a^(-6) + 2/a^4 + a^(-2) - 2*a^2 + 
   2*a^4 - 10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - 15*z^4 - z^4/a^6 + (6*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 
   4*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 28799] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (13*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (15*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 28800] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 28801] -> 
  -3 + 2/a^2 + 4*a^4 - 2*a^6 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 + z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 28802] -> 
  -2 + 3/a^4 - 5/a^2 + 9*a^2 - 4*a^4 - 6*z^2 + (11*z^2)/a^4 - (21*z^2)/a^2 + 
   24*a^2*z^2 - 8*a^4*z^2 - 12*z^4 + (13*z^4)/a^4 - (29*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + (6*z^6)/a^4 - (20*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 28803] -> 4 + a^(-6) - 4/a^2 + a^2 - a^4 + 
   8*z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (4*z^4)/a^6 - (5*z^4)/a^4 - (14*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 28804] -> 
  3/a^4 - 5/a^2 + 4*a^2 - a^6 - 7*z^2 + (6*z^2)/a^4 - (10*z^2)/a^2 + 
   9*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 12*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 28805] -> 2 + a^(-6) - 3/a^2 + 2*a^2 - a^4 + 
   (2*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 28806] -> 
  2 + a^(-4) - 2/a^2 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 - z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 28807] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^8 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28808] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28809] -> a^2 + a^4 - a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 15*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28810] -> 2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 
   2*a^10 - 2*z^2 + 9*a^2*z^2 - 17*a^4*z^2 + 23*a^6*z^2 - 15*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 26*a^4*z^4 + 28*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 28811] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   23*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 28*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (26*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28812] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 28*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 26*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28813] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 4*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28814] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 28815] -> 
  a^2 + a^4 - a^6 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 28816] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 
   2*a^2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 8*a^6*z^4 - 9*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 28817] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (16*z^4)/a^6 - (18*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 28818] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28819] -> -5 + 3/a^2 + 3*a^2 - 19*z^2 - z^2/a^4 + 
   (9*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 28820] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28821] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 28822] -> 
  3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28823] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 11*z^2 - 
   z^2/a^2 - 25*a^2*z^2 + 11*a^4*z^2 + 36*z^4 - (11*z^4)/a^2 - 48*a^2*z^4 + 
   13*a^4*z^4 + 43*z^6 - (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - 
   (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 28824] -> 2*a^2 - 2*a^6 + a^8 - 2*a^2*z^2 + 
   15*a^4*z^2 - 22*a^6*z^2 + 9*a^8*z^2 - 12*a^2*z^4 + 39*a^4*z^4 - 
   45*a^6*z^4 + 12*a^8*z^4 - 13*a^2*z^6 + 44*a^4*z^6 - 37*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 28825] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 6*a^2*z^2 + 29*a^4*z^2 - 35*a^6*z^2 + 13*a^8*z^2 - 
   17*a^2*z^4 + 57*a^4*z^4 - 62*a^6*z^4 + 16*a^8*z^4 - 17*a^2*z^6 + 
   58*a^4*z^6 - 47*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 
   16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 28826] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 
   5*a^2*z^2 + 6*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 8*a^2*z^4 + 
   8*a^4*z^4 - 21*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28827] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 5*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28828] -> 1 + a^(-2) - 2*a^2 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - 
   5*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 28829] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 
   6*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 28830] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 + 8*a^4*z^2 - 6*a^6*z^2 - 8*a^8*z^2 + 
   6*a^10*z^2 - 6*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 17*a^8*z^4 + 
   5*a^10*z^4 - 5*a^2*z^6 + 12*a^4*z^6 + 5*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - 
   a^2*z^8 + 6*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 28831] -> 2*a^2 - a^6 - a^8 + a^10 + 2*a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 4*a^4*z^4 - 
   5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 28832] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 3*z^2 + (6*z^2)/a^8 - (17*z^2)/a^6 + 
   (13*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - (23*z^4)/a^6 + 
   (10*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - z^6/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 28833] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28834] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28835] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28836] -> -2 + a^(-4) + 2*a^2 - 9*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28837] -> a^(-6) - a^(-4) + a^2 - 5*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (5*z^4)/a^6 + 
   (11*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28838] -> 
  a^(-2) - a^4 + a^6 + 3*z^2 - z^2/a^2 - a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 
   9*z^4 - (5*z^4)/a^2 + a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 28839] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 28840] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28841] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 28842] -> 
  -2 + a^(-4) + 2*a^2 - 12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 12*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 + z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 28843] -> 
  -a^(-4) + 2/a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 15*z^4 + (2*z^4)/a^4 + (6*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 28844] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - z^6/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 28845] -> a^(-8) - 4/a^4 + 4/a^2 - 2*z^2 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 - (14*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^8 - (7*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28846] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 3*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (11*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28847] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   11*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28848] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   6*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 - (5*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28849] -> -2/a^12 + a^(-10) + a^(-8) + a^(-6) - 
   (2*z^2)/a^14 - z^2/a^12 + (6*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (4*z^4)/a^12 + (7*z^4)/a^10 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28850] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - z^2/a^14 - z^2/a^12 + (3*z^2)/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 + z^4/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 28851] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   z^2/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28852] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28853] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2 + z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4 - (3*z^4)/a^10 - z^4/a^8 + (6*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 28854] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   10*z^2 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 28855] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 5*z^2 - z^2/a^4 - (3*z^2)/a^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 12*z^4 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 10*z^6 - z^6/a^4 + z^6/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 28856] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + (2*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 - z^6/a^4 + (11*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28857] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   7*z^2 + z^2/a^2 + 16*a^2*z^2 - 7*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 4*z^6 + z^6/a^4 - (7*z^6)/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 28858] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^6 - z^4/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28859] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 + z^4/a^2 - 6*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 8*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 28860] -> -a^(-14) + 6/a^12 - 9/a^10 + 
   a^(-8) + 4/a^6 - (2*z^2)/a^14 + (14*z^2)/a^12 - (20*z^2)/a^10 - z^2/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (20*z^4)/a^10 - 
   (9*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 28861] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + 
   (4*z^2)/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 28862] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - 
   a^2 + 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + 13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 28863] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28864] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28865] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 28866] -> 4*a^4 - 4*a^6 + a^8 - 2*z^2 + 
   4*a^2*z^2 + 6*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 
   14*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 28867] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   z^2 - z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28868] -> a^(-12) - 5/a^10 + 3/a^8 + 3/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (14*z^2)/a^10 + (15*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (12*z^4)/a^10 + (19*z^4)/a^8 + (12*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28869] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + (10*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (15*z^4)/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28870] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (12*z^4)/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28871] -> 2 - a^(-2) + a^2 - a^4 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28872] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 4*z^2 + 
   z^2/a^2 - 6*a^2*z^2 + 24*a^4*z^2 - 11*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 29*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28873] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (4*z^2)/a^12 - (19*z^2)/a^10 + 
   (19*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + 
   (33*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (28*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28874] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (11*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (6*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28875] -> -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (18*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + z^4/a^8 + (20*z^4)/a^6 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28876] -> 
  -3/a^8 + 4/a^6 - z^2 + z^2/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^4 - (3*z^4)/a^10 + (7*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 28877] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   8*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (24*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28878] -> 1 - a^(-10) + 4/a^8 - 3/a^6 - 2/a^4 + 
   2/a^2 + 3*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (9*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (12*z^4)/a^8 - (15*z^4)/a^6 - 
   (16*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (11*z^6)/a^4 - 
   (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28879] -> -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - (3*z^2)/a^14 + (12*z^2)/a^12 - (11*z^2)/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - 
   (15*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28880] -> 
  -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 4/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (9*z^2)/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (9*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28881] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (12*z^2)/a^10 + (10*z^2)/a^8 + 
   (8*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (12*z^4)/a^10 + 
   (17*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (11*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28882] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 4*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (17*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (14*z^4)/a^6 + 
   (16*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28883] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 9*a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - z^4/a^4 + (9*z^4)/a^2 - 17*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28884] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28885] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 28886] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28887] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (4*z^2)/a^10 - (4*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (3*z^4)/a^8 + (18*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28888] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 28889] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 7*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28890] -> 
  -3*a^2 + 13*a^4 - 13*a^6 + 4*a^8 - 2*z^2 + 22*a^4*z^2 - 27*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 10*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 28891] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (18*z^2)/a^6 + (26*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (23*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28892] -> -3*a^2 + 11*a^4 - 9*a^6 + 2*a^8 - 2*z^2 + 
   17*a^4*z^2 - 15*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 6*a^4*z^4 - 
   15*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 11*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 28893] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 
   7*z^2 + 21*a^2*z^2 - 22*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 31*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28894] -> 
  -2*a^6 + 12*a^8 - 12*a^10 + 3*a^12 - 5*a^4*z^2 + 5*a^6*z^2 + 30*a^8*z^2 - 
   24*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 14*a^6*z^4 + 
   29*a^8*z^4 - 16*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 
   14*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 28895] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28896] -> 
  -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 14*z^2 - z^2/a^6 + 
   (7*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 
   5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 28897] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (19*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 28898] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (4*z^4)/a^10 - (2*z^4)/a^8 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 28899] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (7*z^2)/a^12 + (16*z^2)/a^10 - 
   (13*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (15*z^4)/a^10 - 
   (15*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 + (3*z^6)/a^10 - 
   (10*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 28900] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   25*z^2 + z^2/a^6 - (7*z^2)/a^4 + (20*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 
   31*z^4 + z^4/a^6 - (8*z^4)/a^4 + (24*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28901] -> 
  a^(-2) - a^2 + a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 28902] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 - z^4/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 28903] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 
   9*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 8*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 28904] -> 
  -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 28905] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - 2*z^4 + z^4/a^10 - (4*z^4)/a^8 + z^4/a^6 + 
   (8*z^4)/a^4 + z^4/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 28906] -> -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   8*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 28907] -> 
  a^2 + a^6 - a^8 + 5*z^2 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 28908] -> -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 
   3*a^2*z^2 + 17*a^6*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   5*a^4*z^4 + 15*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 28909] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 15*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (8*z^4)/a^6 + (15*z^4)/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28910] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - 4*z^2 - (2*z^2)/a^6 - 
   z^2/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28911] -> -a^(-6) + 2/a^4 - a^2 + a^4 + z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 28912] -> 
  -1 + 3/a^4 - 5/a^2 + 7*a^2 - 3*a^4 - 4*z^2 + (9*z^2)/a^4 - (18*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + (10*z^4)/a^4 - (23*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 28913] -> a^(-6) - 2/a^2 + 3*a^2 - a^4 - 
   2*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 28914] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 13*z^2 - (7*z^2)/a^6 + (15*z^2)/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - 18*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + (6*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 28915] -> 1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 
   3/a^2 + 2*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28916] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 6*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28917] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 4*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28918] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (11*z^2)/a^6 - (12*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28919] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2 - z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 28920] -> -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 
   5*z^2 - z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 - (2*z^4)/a^6 + (12*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28921] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^4 - 
   z^2/a^2 - 5*a^4*z^2 + a^8*z^2 + 5*z^4 - z^4/a^4 + 3*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 28922] -> a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 4*a^10 - 
   2*a^12 + z^2 + 3*a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 - 13*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 28923] -> 
  a^4 - a^6 + 2*a^8 - a^14 + 3*a^4*z^2 + 4*a^8*z^2 + 5*a^10*z^2 + a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 - a^8*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 28924] -> a^4 + a^8 - a^12 + z^2 + 
   3*a^4*z^2 + a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 28925] -> 
  2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 
   15*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 6*a^6*z^4 - 10*a^8*z^4 + 
   15*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 28926] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 17*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28927] -> 
  2*a^4 - a^6 + a^8 - a^10 + z^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 
   3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 28928] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28929] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 5*a^2*z^2 - 9*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 
   10*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 28930] -> 
  -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 15*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   (5*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 28931] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   20*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - 23*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   27*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 28932] -> 2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + 
   9*a^6*z^2 - 8*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + 15*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 28933] -> -1 + 4*a^2 - 5*a^4 + 6*a^6 - 
   3*a^8 - 4*z^2 + z^2/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28934] -> 
  2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   9*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 28935] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 
   2*a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 7*a^2*z^4 - 17*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 28936] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 5*z^2 + z^2/a^4 + 9*a^2*z^2 - 
   14*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 28937] -> 
  a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   11*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 9*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 28938] -> -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 28939] -> -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 
   17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 28940] -> 
  2*a^6 - 3*a^8 + 7*a^10 - 6*a^12 + a^14 + a^4*z^2 + 8*a^6*z^2 - 10*a^8*z^2 + 
   21*a^10*z^2 - 8*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 13*a^8*z^4 + 
   18*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 10*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 28941] -> -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 
   20*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 23*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 27*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28942] -> 2 + a^(-4) - a^(-2) - a^2 - 2*a^4 + 2*a^6 + 
   z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 28943] -> 
  -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28944] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   2*a^4*z^2 + 12*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 14*a^6*z^4 - 12*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 28945] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 
   a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 28946] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 + 9*a^2*z^2 - 3*a^4*z^2 - 9*a^6*z^2 + 
   5*a^8*z^2 - 6*z^4 + 13*a^2*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 
   11*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 28947] -> -1 + 2/a^2 - a^2 + a^6 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28948] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 28949] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28950] -> -3 + a^(-4) + a^(-2) + 2*a^2 - a^4 + a^6 - 
   12*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   16*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 28951] -> 
  1 + a^2 - 2*a^4 + a^6 + 7*z^2 - (3*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - 13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 28952] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + (13*z^2)/a^6 - 
   (16*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - 
   (17*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28953] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 28954] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 28955] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (2*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + z^6/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 28956] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 28957] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28958] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 7*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 28959] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 
   4*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 28960] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 28961] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - (9*z^2)/a^14 + 
   (5*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (12*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 28962] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (13*z^2)/a^14 + (6*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (14*z^4)/a^12 + (19*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 28963] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 17*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28964] -> 
  2 - 2*a^2 + a^4 - z^2/a^6 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 28965] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + (2*z^2)/a^16 - (18*z^2)/a^14 + 
   (12*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (15*z^4)/a^14 + 
   (26*z^4)/a^12 + (25*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (20*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 28966] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - z^2/a^10 + (7*z^2)/a^8 - (11*z^2)/a^6 + 
   (8*z^2)/a^4 - (2*z^4)/a^10 + (8*z^4)/a^8 - (11*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 + (6*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 28967] -> 
  -1 + 6*a^4 - 4*a^6 - 7*z^2 + z^2/a^2 + 2*a^2*z^2 + 21*a^4*z^2 - 
   11*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 28*a^4*z^4 - 11*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 28968] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - z^2 + (2*z^2)/a^8 - (13*z^2)/a^6 + 
   (22*z^2)/a^4 - (5*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (20*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (11*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28969] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (6*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28970] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + z^4/a^8 + 
   (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28971] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - 
   z^2/a^10 + (8*z^2)/a^8 - (8*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^10 + (4*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   z^6/a^8 + z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 28972] -> a^(-12) - 2/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (3*z^4)/a^10 - 
   (10*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 28973] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - z^2 + z^2/a^8 - (7*z^2)/a^6 + 
   (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28974] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28975] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - 
   (4*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 28976] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - 
   (5*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 8*z^4 - (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (15*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   z^6/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 + (3*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 28977] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (7*z^4)/a^10 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 28978] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 28979] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 28980] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (14*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 28981] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^4 + z^4 - z^4/a^10 + z^4/a^8 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 28982] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^6 - 
   (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 28983] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 8*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 28984] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + z^2/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 28985] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 28986] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 + z^2/a^2 - 
   8*a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 4*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 28987] -> 
  3 + 2/a^4 - 4/a^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + 2*a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 28988] -> 
  1 - a^(-4) + 3/a^2 - 4*a^2 + a^4 + a^6 + 2*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 16*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 - 20*a^2*z^4 + 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 28989] -> -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28990] -> 7 - a^(-2) - 8*a^2 + 2*a^4 + a^6 + 10*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 21*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 22*a^2*z^4 + 3*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 - 
   12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 28991] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 28992] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 
   2*a^2*z^2 + 9*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 - z^4/a^2 + 5*a^2*z^4 + 
   3*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 28993] -> 6*a^8 - 6*a^10 + a^12 - a^4*z^2 + 
   2*a^6*z^2 + 21*a^8*z^2 - 15*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 
   6*a^6*z^4 + 22*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 28994] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - z^2 + 
   14*a^4*z^2 - 17*a^6*z^2 + 6*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 8*a^4*z^4 - 
   20*a^6*z^4 + 7*a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 - 13*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 28995] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   6*z^2 + 16*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   z^4/a^2 + 25*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 28996] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 - (2*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 28997] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 28998] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - 
   (14*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 28999] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29000] -> -3 + 2/a^8 - 9/a^6 + 8/a^4 + 3/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (30*z^2)/a^6 + (37*z^2)/a^4 + (4*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (35*z^4)/a^6 + (56*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (40*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29001] -> -a^(-8) + a^(-6) + a^(-2) - 5*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29002] -> 
  -1 + a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + (21*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 29003] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (10*z^2)/a^4 - 4*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29004] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29005] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   z^2/a^14 - (5*z^2)/a^12 + (16*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (2*z^4)/a^12 + (14*z^4)/a^10 - (17*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 + (2*z^6)/a^10 - (11*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29006] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29007] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 
   9*z^4 - z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29008] -> 
  -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - z^2 - z^2/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 
   6*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 29009] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4/a^2 + 
   10*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29010] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 + 12*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 29011] -> -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - 
   a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 + 5*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - 
   z^4 - 2*a^2*z^4 + 2*a^4*z^4 + 14*a^6*z^4 + 6*a^8*z^4 - 5*a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 7*a^6*z^6 + 4*a^8*z^6, 
 Knot[15, Alternating, 29012] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - 
   z^2/a^4 + z^2/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 29013] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (15*z^2)/a^8 + (3*z^2)/a^6 + (3*z^4)/a^12 - (12*z^4)/a^10 + (15*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (8*z^6)/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29014] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29015] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 2/a^2 + 2*z^2 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29016] -> -2 + a^(-2) + 2*a^2 + 2*a^4 - 3*a^6 + a^8 - 
   5*z^2 + (2*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29017] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29018] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 - 2*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29019] -> -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 + 
   z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29020] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29021] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 29022] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 2*z^2 + 6*a^2*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 - 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   6*a^6*z^4 - 2*a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 29023] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 29024] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 29025] -> 
  a^4 - a^6 + 2*a^8 + a^10 - 2*a^12 + 3*a^4*z^2 + 3*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - a^8*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 29026] -> 
  -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 3*z^2 + z^2/a^2 + 10*a^2*z^2 - 
   13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29027] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + z^2 - 
   a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 29028] -> 
  a^2 - a^4 + 3*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 - 11*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 29029] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   22*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 24*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 
   29*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + 26*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   19*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 29030] -> 
  2*a^6 - 2*a^8 + 6*a^10 - 7*a^12 + 2*a^14 + a^4*z^2 + 7*a^6*z^2 - 
   8*a^8*z^2 + 20*a^10*z^2 - 11*a^12*z^2 + 2*a^4*z^4 + 6*a^6*z^4 - 
   11*a^8*z^4 + 19*a^10*z^4 - a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 
   4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 29031] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 12*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 19*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29032] -> 
  2*a^6 - a^8 + 3*a^10 - 4*a^12 + a^14 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   9*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 
   2*a^8*z^4 + 7*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 29033] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - 
   a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29034] -> 
  2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29035] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^8 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29036] -> 2*a^4 - 2*a^10 + a^12 - a^2*z^2 + 
   5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 29037] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   z^2 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 29038] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29039] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   3*z^2 - z^2/a^2 - 7*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 29040] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 
   2*a^2*z^2 - 9*a^4*z^2 + 28*a^6*z^2 - 24*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 
   5*a^2*z^4 - 20*a^4*z^4 + 35*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 16*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29041] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + z^2 - 4*a^2*z^2 + 9*a^4*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 3*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29042] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29043] -> 4*a^2 - 4*a^4 + a^8 - 2*z^2 + 
   9*a^2*z^2 - 9*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 13*a^2*z^4 - 
   8*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29044] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 3*z^2 + 
   8*a^2*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 13*a^2*z^4 + a^4*z^4 - 
   15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29045] -> 2 + a^(-2) - 4*a^2 + a^4 + a^6 + 6*z^2 - 
   z^2/a^2 - 9*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 29046] -> -3 + 3/a^2 + a^6 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29047] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 29048] -> 
  3*a^2 - 2*a^4 - a^8 + a^10 - z^2 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 29049] -> 
  2*a^4 - a^8 - 2*z^2 + 8*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29050] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - z^4/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29051] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29052] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 29053] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29054] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 2*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 29055] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29056] -> 2*a^4 - a^8 - a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 29057] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (8*z^2)/a^14 + z^2/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (4*z^4)/a^14 + (10*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 29058] -> a^(-14) - 5/a^12 + 3/a^10 + 
   2/a^8 - (4*z^2)/a^14 - (4*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + (6*z^4)/a^12 + (16*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 29059] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29060] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (25*z^2)/a^14 + (18*z^2)/a^12 + (17*z^2)/a^10 + z^2/a^8 - 
   z^4/a^16 - (20*z^4)/a^14 + (35*z^4)/a^12 + (30*z^4)/a^10 + (3*z^4)/a^8 - 
   z^6/a^16 - (3*z^6)/a^14 + (25*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + 
   z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 29061] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 12*z^2 - 
   (4*z^2)/a^6 + (21*z^2)/a^4 - (31*z^2)/a^2 + 19*z^4 - (6*z^4)/a^6 + 
   (35*z^4)/a^4 - (56*z^4)/a^2 + 15*z^6 - (4*z^6)/a^6 + (29*z^6)/a^4 - 
   (53*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 29062] -> 
  12 + a^(-4) - 7/a^2 - 5*a^2 + 47*z^2 + (4*z^2)/a^4 - (28*z^2)/a^2 - 
   19*a^2*z^2 + 81*z^4 + (6*z^4)/a^4 - (44*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + 
   (4*z^6)/a^4 - (34*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 29063] -> 2/a^14 - 8/a^12 + 6/a^10 + a^(-8) + 
   z^2/a^16 - (6*z^2)/a^14 - (9*z^2)/a^12 + (22*z^2)/a^10 + (4*z^2)/a^8 - 
   z^4/a^16 - (9*z^4)/a^14 + (8*z^4)/a^12 + (30*z^4)/a^10 + (6*z^4)/a^8 - 
   z^6/a^16 - z^6/a^14 + (13*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 29064] -> -a^(-8) + 2/a^4 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 29065] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29066] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29067] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 3*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (11*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + 
   (24*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (24*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 29068] -> 
  a^(-8) - 2/a^6 + 2/a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 + 
   (9*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + 
   z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 29069] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 29070] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 29071] -> 3*a^6 - a^8 - a^10 - a^2*z^2 + 
   8*a^6*z^2 + 6*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 10*a^6*z^4 + 
   12*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 8*a^6*z^6 + 
   9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 29072] -> -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 
   12*a^4*z^4 - 5*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 + 9*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29073] -> -4 + 9*a^2 - 3*a^4 - a^6 - 12*z^2 + 
   z^2/a^2 + 19*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 + 18*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29074] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 - (2*z^2)/a^6 + (13*z^2)/a^4 - 
   (16*z^2)/a^2 + 6*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (22*z^4)/a^4 - 
   (31*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (28*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 29075] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - z^4 - z^4/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (16*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 29076] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (11*z^4)/a^8 - z^4/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (4*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29077] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29078] -> 6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 4*a^2*z^2 + 
   11*a^4*z^2 - 22*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 4*a^4*z^4 - 
   27*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 29079] -> 3*a^2 - 2*a^4 - a^6 + a^8 + 
   z^2 - z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29080] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 29081] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + (7*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 9*z^4 - z^4/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 29082] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + 
   (7*z^2)/a^8 - (25*z^2)/a^6 + (28*z^2)/a^4 - (8*z^2)/a^2 + (9*z^4)/a^8 - 
   (41*z^4)/a^6 + (50*z^4)/a^4 - (16*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + 
   (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 29083] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   z^4/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29084] -> 
  -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 29085] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 7*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 29086] -> -a^(-14) + 2/a^12 + a^(-10) - 4/a^8 + 
   3/a^4 - z^2/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (7*z^2)/a^4 + (4*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 29087] -> -2 + 3/a^4 - 5/a^2 + 9*a^2 - 
   4*a^4 - 6*z^2 + (9*z^2)/a^4 - (17*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 
   10*z^4 + (10*z^4)/a^4 - (23*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29088] -> 
  3 - 5*a^2 + a^4 + 5*a^6 - 3*a^8 + 8*z^2 - 15*a^2*z^2 - 2*a^4*z^2 + 
   16*a^6*z^2 - 5*a^8*z^2 + 9*z^4 - 21*a^2*z^4 - 8*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 29089] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 7*z^2 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29090] -> a^(-2) - 3*a^2 + 4*a^4 - a^8 - 2*z^2 + 
   (3*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 11*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29091] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^6 + 
   (4*z^2)/a^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 29092] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^8 - (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29093] -> a^4 + 3*a^6 - 3*a^8 - a^10 + 
   a^12 - a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 - a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 29094] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 16*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29095] -> 4*a^2 - 4*a^4 + a^8 - 2*z^2 + 11*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   21*a^4*z^4 + 12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   13*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 29096] -> 1 + 3*a^2 - 6*a^4 + 3*a^6 + 
   2*z^2 - z^2/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 - 5*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29097] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29098] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - 2*a^2*z^2 + 
   18*a^4*z^2 - 30*a^6*z^2 + 12*a^8*z^2 - 12*a^2*z^4 + 40*a^4*z^4 - 
   50*a^6*z^4 + 13*a^8*z^4 - 13*a^2*z^6 + 44*a^4*z^6 - 38*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 29099] -> 
  5*a^2 - 6*a^4 + a^6 + a^8 - 3*z^2 + 12*a^2*z^2 - 11*a^4*z^2 - 6*a^6*z^2 + 
   5*a^8*z^2 - 6*z^4 + 14*a^2*z^4 - 5*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29100] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 29101] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29102] -> 
  2 - a^2 - a^6 + a^8 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29103] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 6*z^2 + 
   (3*z^2)/a^4 - (11*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29104] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 29105] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29106] -> 
  -3/a^8 + 4/a^6 - z^2/a^14 + (4*z^2)/a^12 - (7*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 - 
   z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29107] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^2 - a^2*z^2 - 10*a^4*z^2 + 
   5*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 29108] -> 
  3 - 3*a^2 + a^6 + 4*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 29109] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   9*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + 
   (5*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29110] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^6*z^2 - 
   2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   5*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 29111] -> 3*a^4 - 2*a^6 - a^2*z^2 + 6*a^4*z^2 - 
   3*a^8*z^2 + a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 29112] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29113] -> -4 - 3/a^4 + 7/a^2 + a^2 - 8*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29114] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29115] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 
   4/a^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - a^4*z^2 + 
   2*z^4 + z^4/a^8 - (4*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 29116] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29117] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 29118] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29119] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 29120] -> 
  -2/a^14 + 5/a^12 - a^(-10) - 6/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (3*z^2)/a^10 - (16*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - (20*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29121] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   6*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + 
   (8*z^4)/a^4 - (15*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29122] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29123] -> 3 - 4*a^2 + 2*a^4 + 21*z^2 - (6*z^2)/a^2 - 
   26*a^2*z^2 + 9*a^4*z^2 + 44*z^4 - (13*z^4)/a^2 - 46*a^2*z^4 + 12*a^4*z^4 + 
   45*z^6 - (13*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 29124] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 
   3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 10*z^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 29125] -> 
  -7 + 4/a^2 + 5*a^2 - 2*a^4 + a^6 - 18*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29126] -> -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (6*z^4)/a^10 - 
   (8*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29127] -> 
  3 - 8*a^2 + 10*a^4 - 4*a^6 + 9*z^2 - 32*a^2*z^2 + 37*a^4*z^2 - 12*a^6*z^2 + 
   16*z^4 - 54*a^2*z^4 + 54*a^4*z^4 - 13*a^6*z^4 + 14*z^6 - 50*a^2*z^6 + 
   39*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 29128] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 8*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29129] -> -3 + 2/a^6 - 5/a^4 + 6/a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29130] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 11*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29131] -> -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29132] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29133] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29134] -> -6 - 2/a^6 + a^(-4) + 6/a^2 + 2*a^2 - 
   17*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29135] -> -4 - a^(-8) + 2/a^4 + 2/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^8 + (7*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^8 + (9*z^4)/a^4 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 29136] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (9*z^2)/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 - (3*z^4)/a^14 + 
   (8*z^4)/a^12 + (8*z^4)/a^10 - (17*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (8*z^6)/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - 
   (4*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 29137] -> -a^(-4) + 6*a^2 - 4*a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + (4*z^6)/a^4 - (7*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 29138] -> 1 - 2/a^4 + 2/a^2 + 2*a^2 - 
   2*a^4 + 3*z^2 - z^2/a^6 + (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29139] -> -4 + a^(-8) - 2/a^6 - 4/a^4 + 10/a^2 - 
   8*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - (8*z^2)/a^4 + (23*z^2)/a^2 - 5*z^4 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29140] -> -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - 
   (2*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (5*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29141] -> 4 - 2/a^6 + 4/a^4 - 3/a^2 - 3*a^2 + a^4 + 
   8*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 29142] -> 2 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) - 2*a^2 + a^4 + z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 29143] -> -a^(-14) + 3/a^12 - 5/a^10 + 4/a^8 - 2/a^6 + 
   2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 - (8*z^2)/a^10 + (10*z^2)/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (5*z^4)/a^10 + 
   (6*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - (3*z^6)/a^10 - 
   z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29144] -> 6 - 3/a^2 - 3*a^2 + 3*a^4 - 2*a^6 + 13*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 29145] -> 3 - a^(-4) - a^2 + a^4 - a^6 + 4*z^2 - 
   z^2/a^4 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 + a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 29146] -> 5 + 2/a^8 - 7/a^6 + 8/a^4 - 5/a^2 - 2*a^2 + 
   9*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + (12*z^2)/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29147] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - 
   z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^2 + (2*z^4)/a^12 - z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 29148] -> -4 + 2/a^8 - 5/a^6 - a^(-4) + 
   9/a^2 - 12*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + (25*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + (11*z^4)/a^4 + (30*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (11*z^6)/a^6 + (13*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29149] -> a^(-8) - 2/a^6 - 2/a^4 + 5/a^2 - a^2 + z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (6*z^4)/a^6 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 29150] -> 
  -3*a^2 + 6*a^4 + 3*a^6 - 7*a^8 + 2*a^10 - z^2 - 8*a^2*z^2 + 19*a^4*z^2 + 
   9*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 - 4*a^2*z^4 + 23*a^4*z^4 + 
   11*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 14*a^4*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 29151] -> -1 + 5*a^4 - a^6 - 3*a^8 + a^10 - 4*z^2 + 
   3*a^2*z^2 + 12*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*z^4 - 
   z^4/a^2 + 6*a^2*z^4 + 11*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + z^6 + 4*a^2*z^6 + 
   5*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 29152] -> 
  5 - 3/a^2 + 4*a^2 - 8*a^4 + 3*a^6 + 17*z^2 - (7*z^2)/a^2 + 5*a^2*z^2 - 
   23*a^4*z^2 + 10*a^6*z^2 + 23*z^4 - (5*z^4)/a^2 - 5*a^2*z^4 - 28*a^4*z^4 + 
   12*a^6*z^4 + 12*z^6 - z^6/a^2 - 11*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 29153] -> 4 - a^(-4) - 4*a^4 + 2*a^6 + 10*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 11*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29154] -> 2/a^12 - 5/a^10 - 2/a^8 + 9/a^6 - 3/a^4 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (3*z^2)/a^8 + (27*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^4)/a^12 - (20*z^4)/a^10 + (13*z^4)/a^8 + (32*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + (13*z^6)/a^8 + (20*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29155] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 5/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (7*z^2)/a^10 - (2*z^2)/a^8 + (14*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + z^4/a^8 + (15*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29156] -> 
  3 - 2/a^4 + 3/a^2 - 4*a^2 + a^6 + 4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   11*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^4 + (7*z^4)/a^2 - 
   13*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29157] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 + 
   z^2/a^12 - z^2/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (10*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 + (13*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (8*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29158] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^4 + a^6 - 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 29159] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 29160] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 29161] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^10 - z^4/a^8 + 
   (10*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29162] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29163] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^10 - 
   (12*z^2)/a^8 + (21*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (21*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29164] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - z^4/a^10 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   z^8/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29165] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (9*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29166] -> -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - 
   (11*z^2)/a^10 + (9*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (21*z^4)/a^10 + (27*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (14*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29167] -> -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (3*z^4)/a^8 + (16*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29168] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (11*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (13*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29169] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2 + z^2/a^12 - (3*z^2)/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^4 - (3*z^4)/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 29170] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 
   12*z^2 + z^2/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (21*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29171] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 4*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 29172] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29173] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29174] -> 2 + 3/a^4 - 6/a^2 + 4*a^2 - 2*a^4 + 7*z^2 + 
   (8*z^2)/a^4 - (21*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 5*z^4 + 
   (9*z^4)/a^4 - (25*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29175] -> 
  2 + a^(-6) - 3/a^2 + 2*a^2 - a^4 + 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 29176] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + (12*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29177] -> a^(-8) - a^(-6) + a^2 - z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29178] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29179] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29180] -> 
  a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 29181] -> 
  -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29182] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 11*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29183] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29184] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   z^4 - (2*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29185] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^10 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (12*z^4)/a^6 - 
   (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29186] -> a^(-6) - a^(-4) + a^2 - z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 29187] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29188] -> -4 - a^(-6) - a^(-4) + 6/a^2 + 
   a^2 - 13*z^2 - z^2/a^6 - z^2/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 29189] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29190] -> -3 + a^(-4) + 4*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - 
   z^4/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29191] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   z^4/a^8 - (8*z^4)/a^6 - z^4/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 29192] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 29193] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 13*z^6 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 29194] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (7*z^4)/a^8 + (8*z^4)/a^6 - 
   (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 29195] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + (2*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 29196] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) + z^2 + z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29197] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (18*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (9*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (3*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29198] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - 
   z^2/a^10 + (5*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29199] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + z^6/a^2 + a^2*z^6 + 8*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29200] -> 4 - 6*a^2 + 3*a^4 + 7*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 18*a^2*z^2 + 7*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   21*a^2*z^4 + 8*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 14*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 29201] -> -3 + 6*a^2 - 2*a^6 - 11*z^2 + (2*z^2)/a^2 + 
   12*a^2*z^2 + 11*a^4*z^2 - 8*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 + 
   21*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29202] -> -a^(-8) + 2/a^4 - 2*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 29203] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29204] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (16*z^2)/a^4 + (21*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29205] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (7*z^2)/a^10 + (5*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29206] -> -3 + a^(-8) - 5/a^6 + 3/a^4 + 5/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (19*z^2)/a^6 + (21*z^2)/a^4 + (10*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (25*z^4)/a^6 + (37*z^4)/a^4 + (13*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (14*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29207] -> -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (8*z^2)/a^10 - (9*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - 
   (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29208] -> 2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + 
   (5*z^2)/a^12 - (22*z^2)/a^10 + (18*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (28*z^4)/a^10 + (37*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (30*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 29209] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (18*z^4)/a^6 - (10*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (20*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 29210] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 10*a^4*z^2 - 
   4*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 16*a^4*z^4 - 6*a^6*z^4 - 
   7*z^6 + z^6/a^2 + a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29211] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 
   10*a^4*z^2 - 3*a^6*z^2 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 - (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 29212] -> 
  7*a^4 - 10*a^6 + 4*a^8 - 2*z^2 + 2*a^2*z^2 + 16*a^4*z^2 - 27*a^6*z^2 + 
   10*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 12*a^4*z^4 - 31*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 7*a^2*z^6 + a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 29213] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - z^2/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 13*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29214] -> 1 - a^2 + 5*a^4 - 7*a^6 + 3*a^8 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 + 6*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29215] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 15*z^2 - 
   (4*z^2)/a^6 + (24*z^2)/a^4 - (35*z^2)/a^2 + 27*z^4 - (6*z^4)/a^6 + 
   (43*z^4)/a^4 - (75*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + (34*z^6)/a^4 - 
   (71*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 29216] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 9*z^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (2*z^4)/a^6 + (14*z^4)/a^4 - 
   (14*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 29217] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (9*z^4)/a^6 - 
   (12*z^4)/a^4 - (2*z^4)/a^2 - (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29218] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29219] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 29*z^4 + z^4/a^6 - (10*z^4)/a^4 + (25*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 29220] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 26*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 31*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (24*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29221] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 29222] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + z^2/a^14 - 
   (6*z^2)/a^12 + (15*z^2)/a^10 - (26*z^2)/a^8 + (25*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^4)/a^12 + (18*z^4)/a^10 - (32*z^4)/a^8 + (30*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^6)/a^10 - (18*z^6)/a^8 + (18*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^6, Knot[15, Alternating, 29223] -> 
  13 - 6/a^2 - 6*a^2 + 32*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 - (3*z^2)/a^2 - 
   15*a^2*z^2 + 35*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 - 
   14*a^2*z^4 + 21*z^6 + z^6/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 - 6*a^2*z^6 + 
   7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 29224] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 + 
   6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 
   12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 29225] -> -a^(-4) + 2/a^2 + 10*z^2 - 
   (4*z^2)/a^6 + (18*z^2)/a^4 - (23*z^2)/a^2 + 23*z^4 - (8*z^4)/a^6 + 
   (43*z^4)/a^4 - (64*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - 
   (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 29226] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (9*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29227] -> -4 - 2/a^4 + 6/a^2 + a^2 - a^4 + a^6 - 
   20*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 
   5*a^6*z^2 - 27*z^4 - z^4/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29228] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (18*z^2)/a^8 + (26*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (23*z^4)/a^8 + (29*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (14*z^6)/a^8 + (17*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 29229] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 29230] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 
   4*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 29231] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 - z^2/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 10*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 29232] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^10 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29233] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 16*z^4 + z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 29234] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 15*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^2)/a^2 - 6*a^2*z^2 + 17*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 29235] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 29236] -> 1 + a^(-6) - 6/a^4 + 7/a^2 - 2*a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 - 5*a^2*z^2 + 
   5*z^4 + z^4/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (10*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 29237] -> 
  3 - a^(-4) - a^4 + 7*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^4*z^2 + 7*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 29238] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 7*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (13*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 - (20*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 29239] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 29240] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^2 - a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 29241] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29242] -> 
  2*a^2 - a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29243] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 18*z^4 + z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29244] -> 1 + a^2 - 2*a^4 + a^6 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29245] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29246] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 5*a^2*z^2 - 12*a^4*z^2 + 
   20*a^6*z^2 - 20*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   17*a^4*z^4 + 25*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 29247] -> 
  1 - a^2 + 2*a^4 - 2*a^6 + a^8 + a^10 - a^12 + 2*z^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 29248] -> -4 + 3/a^2 + a^2 + a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + a^6*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29249] -> -3 - 2/a^4 + 5/a^2 + a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 29250] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 12*a^2*z^2 - 19*a^4*z^2 + 
   12*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 24*a^4*z^4 + 
   15*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29251] -> 3 + 4/a^4 - 7/a^2 + a^2 - z^2 - 
   (3*z^2)/a^6 + (12*z^2)/a^4 - (16*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (6*z^4)/a^6 + (16*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29252] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 5*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   7*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29253] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + a^2*z^2 - 
   3*a^4*z^2 + 19*a^6*z^2 - 19*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 25*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 29254] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + 
   a^(-2) + 2*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - z^4/a^10 - (3*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29255] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 13*z^2 + (2*z^2)/a^2 + 27*a^2*z^2 - 
   19*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 22*z^4 + (6*z^4)/a^2 + 34*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 29256] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 - z^2 + 9*a^2*z^2 - 17*a^4*z^2 + 
   18*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 25*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29257] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (2*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29258] -> 
  a^(-2) - a^2 + a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 29259] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 29260] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 29261] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 10*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29262] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29263] -> a^2 + a^6 - a^8 - z^2 + z^2/a^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29264] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^10 + z^2/a^8 - 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (4*z^4)/a^8 - 
   (7*z^4)/a^6 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 29265] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + (16*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29266] -> 1 + a^(-8) + a^(-6) - 5/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 29267] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) - z^2 + z^2/a^12 - z^2/a^10 - (8*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4 - (3*z^4)/a^10 - (2*z^4)/a^8 + 
   (10*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 29268] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29269] -> 
  -2 - 3/a^4 + 6/a^2 - 8*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (14*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29270] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29271] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29272] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + (10*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + 3*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29273] -> -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 29274] -> 2/a^10 - 6/a^8 + 4/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (7*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29275] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + (5*z^2)/a^10 - (14*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29276] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 29277] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 29278] -> -4 + 11*a^2 - 7*a^4 + a^6 - 10*z^2 + 
   z^2/a^2 + 22*a^2*z^2 - 9*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29279] -> a^(-10) - 5/a^8 + 5/a^6 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 + z^4/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29280] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 14*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 29281] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   (8*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (8*z^4)/a^8 + (15*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29282] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29283] -> -4/a^8 + 6/a^6 - a^(-4) - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - z^4 - (3*z^4)/a^10 - 
   z^4/a^8 + (11*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 29284] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 - z^2/a^8 + (8*z^2)/a^4 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 29285] -> 
  a^2 + a^6 - a^8 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 29286] -> 1 + 2/a^8 - 3/a^6 + a^(-2) + 
   2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 - (10*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - 
   (13*z^4)/a^6 - (7*z^4)/a^4 - (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 29287] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 
   6*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 + z^4/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29288] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 29289] -> 1 - 2*a^2 + 7*a^4 - 8*a^6 + 3*a^8 + 2*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 13*a^4*z^2 - 16*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29290] -> -a^(-10) + 7/a^8 - 11/a^6 + 4/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 - (26*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 29291] -> 1 + a^(-8) + a^(-6) - 5/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (11*z^4)/a^6 - 
   (10*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 29292] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29293] -> -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 
   11*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 6*a^2*z^4 - a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 29294] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 25*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 29295] -> 
  -3*a^2 + 12*a^4 - 11*a^6 + 3*a^8 - 2*z^2 + 20*a^4*z^2 - 22*a^6*z^2 + 
   7*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 9*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 29296] -> 
  14 - 4/a^2 - 13*a^2 + 3*a^4 + a^6 + 33*z^2 - (8*z^2)/a^2 - 30*a^2*z^2 - 
   6*a^4*z^2 + 9*a^6*z^2 + 31*z^4 - (5*z^4)/a^2 - 32*a^2*z^4 - 20*a^4*z^4 + 
   12*a^6*z^4 + 13*z^6 - z^6/a^2 - 20*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 29297] -> -3 - 2/a^4 + 6/a^2 - a^2 + a^6 - 3*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 10*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 15*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29298] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (17*z^2)/a^8 + (23*z^2)/a^6 - (14*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (23*z^4)/a^8 + (28*z^4)/a^6 - 
   (18*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (17*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 29299] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 29300] -> 
  a^6 + 4*a^8 - 5*a^10 + a^12 - z^2 + 2*a^4*z^2 + 5*a^6*z^2 + 9*a^8*z^2 - 
   8*a^10*z^2 + a^12*z^2 - z^4 + 4*a^4*z^4 + 7*a^6*z^4 + 7*a^8*z^4 - 
   4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 29301] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 7*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29302] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + 
   2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 29303] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 29304] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 13*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 29305] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 29306] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 29307] -> 
  -2/a^4 + 5/a^2 - 4*a^2 + a^4 + a^6 + z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   15*a^2*z^2 + 4*a^6*z^2 - z^4 - z^4/a^4 + (8*z^4)/a^2 - 18*a^2*z^4 - 
   4*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 10*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29308] -> 
  -1 - a^(-6) + 2/a^4 + a^(-2) - a^2 + a^6 - 5*z^2 - z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + z^4/a^2 - 
   7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 29309] -> 1 - 4*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29310] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - z^4 - 
   5*a^4*z^4 + 8*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 
   7*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 29311] -> 2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 
   3*a^10 - a^12 + 5*a^2*z^2 - 12*a^4*z^2 + 19*a^6*z^2 - 18*a^8*z^2 + 
   12*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 25*a^6*z^4 - 
   25*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 16*a^6*z^6 - 
   15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 29312] -> 1 - a^2 + 2*a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 + 2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 29313] -> 1 - 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 29314] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 9*z^4 + z^4/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29315] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 
   4*a^8*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 29316] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 29317] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29318] -> 
  -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 29319] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 29320] -> 
  2 - a^2 - a^4 + a^6 - z^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 29321] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 6*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 
   3*z^4 + 7*a^2*z^4 - 3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29322] -> -1 + 2/a^2 - a^2 + a^6 + 4*z^2 - z^2/a^2 - 
   6*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 29323] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   6*a^4*z^4 + 11*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29324] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 - 
   a^4*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   12*a^4*z^4 + 21*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 29325] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 21*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29326] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29327] -> 
  a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29328] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29329] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - a^4*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 29330] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^8 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29331] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   7*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29332] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29333] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 
   3*z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 29334] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 29335] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29336] -> 1 - z^2 + z^2/a^8 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29337] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29338] -> 12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 41*z^2 + 
   (7*z^2)/a^4 - (33*z^2)/a^2 - 6*a^2*z^2 - 5*a^4*z^2 + 56*z^4 + 
   (5*z^4)/a^4 - (38*z^4)/a^2 - 8*a^4*z^4 + 39*z^6 + z^6/a^4 - (18*z^6)/a^2 + 
   7*a^2*z^6 - 5*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 29339] -> 
  10 + 2/a^4 - 8/a^2 - 2*a^2 - a^4 + 21*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (10*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 21*z^4 + z^4/a^6 - (8*z^4)/a^4 - 
   3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 29340] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29341] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 
   12*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 - 
   2*a^4*z^2 + 19*z^4 + z^4/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 29342] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + (10*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 29343] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + (5*z^2)/a^10 - (14*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29344] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 8*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29345] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 29346] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (13*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29347] -> 2/a^8 - 6/a^6 + 5/a^4 - 4*z^2 + 
   (7*z^2)/a^8 - (23*z^2)/a^6 + (19*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + 
   (5*z^4)/a^8 - (32*z^4)/a^6 + (34*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (31*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29348] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - z^2/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + (14*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 29349] -> a^(-12) - 2/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (7*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29350] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 3*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (11*z^4)/a^6 + 
   (11*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29351] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - a^2*z^2 - (3*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 29352] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29353] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 29354] -> a^6 + 4*a^8 - 5*a^10 + a^12 - 
   2*a^4*z^2 + 2*a^6*z^2 + 25*a^8*z^2 - 21*a^10*z^2 + 4*a^12*z^2 - 
   5*a^4*z^4 + 3*a^6*z^4 + 40*a^8*z^4 - 27*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 5*a^6*z^6 + 30*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 29355] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29356] -> 
  1 - a^(-6) + 6/a^4 - 7/a^2 + 2*a^2 - 5*z^2 - (4*z^2)/a^6 + (24*z^2)/a^4 - 
   (29*z^2)/a^2 + 9*a^2*z^2 - 13*z^4 - (4*z^4)/a^6 + (32*z^4)/a^4 - 
   (47*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - z^6/a^6 + (17*z^6)/a^4 - 
   (37*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - (14*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 29357] -> 
  1 + 4/a^4 - 6/a^2 + 2*a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (19*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - z^4/a^4 - 
   (23*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 29358] -> -1 - a^(-6) + 5/a^4 - 4/a^2 + a^2 + a^4 - 
   7*z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - (14*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   12*z^4 - z^4/a^6 + (13*z^4)/a^4 - (17*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (10*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   (2*z^8)/a^2 - a^2*z^8, Knot[15, Alternating, 29359] -> 
  -1 + 3/a^4 - 3/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 29360] -> -a^(-10) + 5/a^8 - 7/a^6 + 
   2/a^4 + 2/a^2 - (3*z^2)/a^10 + (16*z^2)/a^8 - (18*z^2)/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (23*z^4)/a^8 - (31*z^4)/a^6 - (10*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 29361] -> 
  1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (12*z^2)/a^6 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (10*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29362] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (20*z^4)/a^8 - (28*z^4)/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (25*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 29363] -> 
  -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - (4*z^2)/a^14 + (17*z^2)/a^12 - 
   (23*z^2)/a^10 + (8*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (27*z^4)/a^12 - 
   (36*z^4)/a^10 + (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (31*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 29364] -> -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 
   3/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - (10*z^2)/a^10 - z^2/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (8*z^4)/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29365] -> -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (12*z^2)/a^12 - (12*z^2)/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (14*z^4)/a^10 - (4*z^4)/a^8 + (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 29366] -> -a^(-14) + 3/a^12 - 3/a^10 - 
   a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 29367] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 4*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 19*a^2*z^2 + 9*a^4*z^2 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 29368] -> 
  12 + a^(-4) - 7/a^2 - 5*a^2 + 49*z^2 + (6*z^2)/a^4 - (32*z^2)/a^2 - 
   19*a^2*z^2 + 82*z^4 + (7*z^4)/a^4 - (48*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + 
   (4*z^6)/a^4 - (35*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 29369] -> a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 + 
   (7*z^2)/a^8 - (35*z^2)/a^6 + (53*z^2)/a^4 - (19*z^2)/a^2 + (9*z^4)/a^8 - 
   (54*z^4)/a^6 + (87*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 29370] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 4*z^2 + 
   (4*z^2)/a^8 - (18*z^2)/a^6 + (23*z^2)/a^4 - 7*z^4 + (3*z^4)/a^8 - 
   (19*z^4)/a^6 + (23*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (14*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29371] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (15*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29372] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 - 15*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 29373] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   7*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - 8*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 29374] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + z^4/a^10 - 
   (15*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 29375] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (7*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29376] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - z^2/a^14 - (5*z^2)/a^12 + 
   (12*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^4)/a^14 + (6*z^4)/a^12 + 
   (11*z^4)/a^10 - (13*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - 
   z^6/a^10 - (13*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 29377] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29378] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (4*z^2)/a^12 - (6*z^2)/a^10 + (11*z^2)/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (4*z^4)/a^10 + (7*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - (3*z^6)/a^10 - z^6/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29379] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   z^4/a^10 - z^4/a^6 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 29380] -> 4 - a^(-4) - 2*a^2 + 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - 6*a^2*z^2 + 18*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 29381] -> 5 - a^(-4) + a^(-2) - 7*a^2 + 3*a^4 + 
   7*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 21*a^2*z^2 + 9*a^4*z^2 + z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 29382] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 4*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 29383] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29384] -> 3/a^4 - 5/a^2 + 5*a^2 - 2*a^4 - 3*z^2 + 
   (9*z^2)/a^4 - (19*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 9*z^4 + 
   (12*z^4)/a^4 - (26*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 12*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29385] -> 
  a^(-6) - 2/a^2 + 3*a^2 - a^4 + 2*z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (9*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (11*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29386] -> 1 + 3/a^4 - 5/a^2 + 3*a^2 - a^4 - 5*z^2 + 
   (5*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 29387] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 + z^2/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 29388] -> -4 - 2/a^6 + 5/a^4 - a^(-2) + 
   3*a^2 - 19*z^2 - (9*z^2)/a^6 + (18*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 
   24*z^4 - (12*z^4)/a^6 + (26*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^6 + (19*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29389] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   10*z^2 - (5*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 29390] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29391] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 9*z^2 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (16*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 29392] -> 
  a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^10 + z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29393] -> -1 + 2/a^2 - a^2 + a^6 - (2*z^2)/a^6 + 
   (3*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 29394] -> 2*a^6 - 3*a^8 + 5*a^10 - 2*a^12 - 
   a^14 + 9*a^6*z^2 - 9*a^8*z^2 + 17*a^10*z^2 - 4*a^14*z^2 + 12*a^6*z^4 - 
   14*a^8*z^4 + 15*a^10*z^4 + 10*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 
   13*a^8*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 4*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 29395] -> 
  2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 
   13*a^10*z^2 - 2*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 
   5*a^8*z^4 + 9*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 29396] -> a^4 - a^6 + 2*a^8 - a^10 + 2*a^12 - 2*a^14 + 
   4*a^4*z^2 - 3*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 7*a^12*z^2 - 
   3*a^14*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 7*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 29397] -> 
  a^4 - a^6 + 2*a^8 - a^14 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 + 
   2*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^6*z^4 + a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 29398] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 22*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29399] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 4*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 + 4*a^2*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 29400] -> 
  2*a^6 - 3*a^8 + 5*a^10 - 2*a^12 - a^14 + 9*a^6*z^2 - 7*a^8*z^2 + 
   15*a^10*z^2 - 2*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 8*a^6*z^4 - 
   11*a^8*z^4 + 14*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 10*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 29401] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   17*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 
   21*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 29402] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   20*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 10*z^4 + z^4/a^2 + 23*a^2*z^4 - 
   27*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 17*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29403] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 12*a^2*z^2 - 22*a^4*z^2 + 19*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 15*a^2*z^4 - 30*a^4*z^4 + 24*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29404] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 21*a^2*z^2 - 24*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 31*a^2*z^4 - 27*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29405] -> 2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 
   4*z^2 - z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29406] -> 2 - 2*a^2 + 2*a^6 - a^8 + 5*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 29407] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 29408] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 
   10*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 
   16*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29409] -> a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 + 
   a^4*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 6*a^2*z^4 - 5*a^4*z^4 + 
   7*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29410] -> 2*a^2 - a^4 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29411] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 16*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29412] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 29413] -> 
  1 + a^2 - 2*a^4 + a^6 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29414] -> 3 - a^(-2) - a^2 + 7*z^2 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29415] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 4*z^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 8*z^4 + 19*a^2*z^4 - 
   4*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 3*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 29416] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   16*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 29417] -> 
  3*a^2 - 2*a^4 - a^8 + a^10 - 2*z^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 5*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 29418] -> 
  -5 + 3/a^2 + 3*a^2 - 21*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29419] -> a^4 + 2*a^6 - 2*a^8 - z^2 + 3*a^2*z^2 - 
   a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 
   11*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29420] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29421] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 29422] -> 
  2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + z^2/a^16 - (19*z^2)/a^14 + 
   (18*z^2)/a^12 + (12*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (12*z^4)/a^14 + (30*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (19*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29423] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 - (11*z^2)/a^14 + (7*z^2)/a^12 + 
   (14*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (12*z^4)/a^12 + (17*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 29424] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) - z^2/a^16 - (7*z^2)/a^14 + (6*z^2)/a^12 + (10*z^2)/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (10*z^4)/a^12 + 
   (14*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 29425] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - z^2/a^16 - (4*z^2)/a^14 + 
   (2*z^2)/a^12 + (9*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (5*z^4)/a^12 + (8*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 29426] -> -a^(-18) + 6/a^16 - 11/a^14 + 
   3/a^12 + 4/a^10 + (6*z^2)/a^16 - (24*z^2)/a^14 + (11*z^2)/a^12 + 
   (17*z^2)/a^10 + (4*z^2)/a^8 - (13*z^4)/a^14 + (16*z^4)/a^12 + 
   (23*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + (8*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 29427] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (17*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (16*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 29428] -> 
  8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 16*z^2 + z^2/a^6 + z^2/a^4 - (13*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 15*z^4 + z^4/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 29429] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - (5*z^2)/a^12 + (12*z^2)/a^10 - 
   (8*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 + (9*z^4)/a^10 - (13*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - (7*z^6)/a^8 + (4*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29430] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + (2*z^2)/a^16 - 
   (11*z^2)/a^14 - (3*z^2)/a^12 + (20*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (11*z^4)/a^14 + (12*z^4)/a^12 + (29*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29431] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 + (7*z^2)/a^16 - 
   (25*z^2)/a^14 + (5*z^2)/a^12 + (24*z^2)/a^10 + z^2/a^8 - (20*z^4)/a^14 + 
   (19*z^4)/a^12 + (35*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (18*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29432] -> 
  -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 8*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (8*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29433] -> 1 - 2/a^8 + 7/a^6 - 8/a^4 + 
   3/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (7*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29434] -> 6 - 3/a^2 - a^2 - a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^6 - 
   (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 29435] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (9*z^4)/a^8 - (4*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29436] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 8*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 29437] -> 
  -4 - 2/a^6 - a^(-4) + 8/a^2 - 11*z^2 + z^2/a^8 - (9*z^2)/a^6 + 
   (6*z^2)/a^4 + (20*z^2)/a^2 - 11*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (14*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29438] -> 
  -2 + 2/a^8 - 10/a^6 + 11/a^4 - 7*z^2 + (3*z^2)/a^8 - (21*z^2)/a^6 + 
   (28*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (18*z^4)/a^6 + 
   (29*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29439] -> 
  -2*a^2 + 7*a^4 - 3*a^6 - 2*a^8 + a^10 - z^2 - 2*a^2*z^2 + 13*a^4*z^2 - 
   4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 4*a^2*z^4 + 7*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 29440] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 6*z^2 + 
   21*a^2*z^2 - 27*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   31*a^2*z^4 - 30*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 29441] -> 8*a^8 - 10*a^10 + 3*a^12 - 
   2*a^4*z^2 + 3*a^6*z^2 + 23*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   3*a^4*z^4 + 8*a^6*z^4 + 24*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   8*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 29442] -> a^6 + 4*a^8 - 5*a^10 + a^12 - 2*a^4*z^2 + 
   6*a^6*z^2 + 15*a^8*z^2 - 13*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 
   12*a^6*z^4 + 16*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   11*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 29443] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 6*a^4*z^4 - 11*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 29444] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 
   11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29445] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (6*z^2)/a^10 - z^2/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (8*z^4)/a^10 - (2*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 + z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29446] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29447] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29448] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 29449] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 29450] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   2*z^4 - (9*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29451] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29452] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 - 
   z^4/a^2 - (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29453] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) + z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29454] -> -a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (15*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (13*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29455] -> -a^(-10) + a^(-8) + a^(-2) + z^2 - 
   z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 + z^2/a^4 + z^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 29456] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 29457] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (10*z^4)/a^10 + z^4/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29458] -> -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29459] -> 
  2/a^12 - 8/a^10 + 7/a^8 + (3*z^2)/a^12 - (16*z^2)/a^10 + (17*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (14*z^4)/a^10 + (15*z^4)/a^8 + 
   (13*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (8*z^6)/a^8 + 
   (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29460] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + z^2/a^12 - (4*z^2)/a^10 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29461] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (4*z^4)/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 29462] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29463] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 2*z^2 - z^2/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 29464] -> -1 + a^(-2) + a^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 29465] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29466] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 29467] -> -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29468] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29469] -> 2/a^4 - 2/a^2 + a^4 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29470] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + 12*a^6*z^2 - 7*a^8*z^2 - 6*a^10*z^2 + 
   4*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 12*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 29471] -> 3*a^4 - 2*a^6 + a^8 - 2*a^10 + a^12 - 
   a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 29472] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 + 
   10*a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 29473] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 3*z^2 + 
   6*a^2*z^2 + 6*a^4*z^2 - 16*a^6*z^2 + 6*a^8*z^2 - 6*z^4 + 12*a^2*z^4 + 
   5*a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 29474] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29475] -> 
  2*a^2 + a^4 - 3*a^6 + a^10 - z^2 + 3*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 - 
   2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 29476] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + a^2*z^2 + 9*a^6*z^2 - 10*a^8*z^2 + 
   5*a^10*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 29477] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 - z^2/a^4 - 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 29478] -> 
  2/a^14 - 7/a^12 + 4/a^10 + 2/a^8 - (3*z^2)/a^14 - (8*z^2)/a^12 + 
   (15*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (4*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 29479] -> -a^(-12) + 2/a^6 - z^2/a^14 + (4*z^2)/a^10 - 
   z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (3*z^4)/a^12 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29480] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (5*z^2)/a^14 - z^2/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + (7*z^4)/a^12 + 
   (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 29481] -> 
  a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - z^2/a^14 - (4*z^2)/a^12 + 
   (9*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   (7*z^4)/a^10 - (2*z^4)/a^8 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29482] -> 
  -1 - a^(-6) + 3/a^2 - 5*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29483] -> 3 - 4*a^2 + 2*a^4 + z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29484] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - a^4*z^2 + 
   a^6*z^2 - 5*z^4 + (3*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 29485] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (10*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29486] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^10 - 
   z^2/a^8 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 29487] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 29488] -> 
  -3 - 2/a^8 + 5/a^6 - 6/a^4 + 6/a^2 + a^2 - 11*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (22*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29489] -> 
  -1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 + a^2 - 5*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 29490] -> -3 - 2/a^8 + 5/a^6 - 6/a^4 + 6/a^2 + a^2 - 
   10*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (23*z^2)/a^4 + (21*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - (30*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 29491] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 8*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 29492] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 + 
   6*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 29493] -> 6 - a^(-4) - 6*a^2 + 2*a^4 + 10*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 16*a^2*z^2 + 6*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 29494] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 29495] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 29496] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (11*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29497] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (21*z^4)/a^6 - 
   (20*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 29498] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 29499] -> 
  -5 + 2/a^2 + 5*a^2 - a^6 - 12*z^2 + (2*z^2)/a^4 + z^2/a^2 + 9*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 29500] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 29501] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29502] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 29503] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29504] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 20*a^4*z^4 + 
   16*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29505] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 29506] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 6*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 8*a^4*z^4 + 9*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29507] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29508] -> 
  -a^(-4) + 2/a^2 - 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 29509] -> 1 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 29510] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29511] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29512] -> a^2 + 3*a^6 - 5*a^8 + 2*a^10 - z^2 + 
   5*a^2*z^2 - 9*a^4*z^2 + 16*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 18*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29513] -> 
  4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29514] -> 
  4 - 2/a^2 - a^4 + 11*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 + (6*z^4)/a^4 - (17*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29515] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 - 
   a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 29516] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 6*a^2*z^2 + a^4*z^2 - 9*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 3*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29517] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 5*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29518] -> 
  a^(-2) - a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 - 5*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 29519] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29520] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 29521] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 29522] -> 
  -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 29523] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 + (3*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + 
   (6*z^4)/a^4 - (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29524] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29525] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   9*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   6*z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 29526] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 4*z^2 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29527] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29528] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29529] -> -2/a^14 + 5/a^12 - a^(-10) - 7/a^8 + 5/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (6*z^2)/a^10 - (17*z^2)/a^8 + 
   (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (10*z^4)/a^10 - 
   (22*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 29530] -> -a^(-14) + 2/a^12 + a^(-10) - 
   4/a^8 + 3/a^4 - z^2/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (10*z^2)/a^8 - 
   z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (11*z^4)/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29531] -> 
  3 - 5*a^2 - a^4 + 9*a^6 - 5*a^8 + 10*z^2 - 17*a^2*z^2 - 7*a^4*z^2 + 
   26*a^6*z^2 - 8*a^8*z^2 + 12*z^4 - 26*a^2*z^4 - 14*a^4*z^4 + 26*a^6*z^4 - 
   5*a^8*z^4 + 6*z^6 - 19*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 29532] -> a^(-2) - 3*a^2 + 2*a^4 + 4*a^6 - 3*a^8 + 
   (3*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 14*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29533] -> -3 + 2/a^2 - a^2 + 5*a^4 - a^6 - a^8 - 
   7*z^2 + (5*z^2)/a^2 - 7*a^2*z^2 + 10*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 
   7*z^4 + (4*z^4)/a^2 - 12*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 - 8*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 29534] -> -1 + a^(-4) - a^(-2) + 2*a^2 + 
   a^6 - a^8 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 2*a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 29535] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 8*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29536] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29537] -> 
  1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (6*z^2)/a^6 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29538] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 29539] -> 
  3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + (5*z^2)/a^16 - (25*z^2)/a^14 + 
   (9*z^2)/a^12 + (23*z^2)/a^10 - (2*z^4)/a^16 - (23*z^4)/a^14 + 
   (33*z^4)/a^12 + (34*z^4)/a^10 - (4*z^6)/a^16 - (2*z^6)/a^14 + 
   (34*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (14*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 29540] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (10*z^2)/a^14 + (13*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - 
   (6*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29541] -> 
  -a^(-18) + 5/a^16 - 5/a^14 - 6/a^12 + 8/a^10 - z^2/a^18 + (10*z^2)/a^16 - 
   (25*z^2)/a^14 - z^2/a^12 + (28*z^2)/a^10 + (2*z^4)/a^16 - (27*z^4)/a^14 + 
   (23*z^4)/a^12 + (38*z^4)/a^10 - (3*z^6)/a^16 - (6*z^6)/a^14 + 
   (29*z^6)/a^12 + (25*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + (13*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 29542] -> a^(-16) - 2/a^14 - 2/a^10 + 4/a^8 - 
   (5*z^2)/a^14 + (3*z^2)/a^10 + (12*z^2)/a^8 - (2*z^4)/a^16 - (2*z^4)/a^14 + 
   (6*z^4)/a^12 + (12*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (7*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29543] -> 
  a^(-16) - 3/a^14 + 2/a^12 - a^(-10) + 2/a^6 - z^2/a^16 - (3*z^2)/a^14 + 
   (4*z^2)/a^12 + (4*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 29544] -> 2/a^16 - 5/a^14 + 2/a^12 - a^(-10) + 3/a^8 - 
   (9*z^2)/a^14 + (5*z^2)/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 - (3*z^4)/a^16 - 
   (2*z^4)/a^14 + (11*z^4)/a^12 + (14*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + 
   (3*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29545] -> 
  a^(-16) - 2/a^14 - a^(-12) + a^(-10) + a^(-8) + a^(-6) - z^2/a^16 - 
   (3*z^2)/a^14 + (5*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + 
   (5*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 29546] -> -a^(-18) + 5/a^16 - 8/a^14 + 4/a^12 - 
   3/a^10 + 4/a^8 + (3*z^2)/a^16 - (13*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 + 
   (12*z^2)/a^8 - (2*z^4)/a^16 - (5*z^4)/a^14 + (10*z^4)/a^12 + 
   (11*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (8*z^6)/a^12 + 
   (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 29547] -> a^(-14) - 4/a^12 + 3/a^10 - 
   a^(-8) + 2/a^6 - z^2/a^16 - (4*z^2)/a^12 + (7*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^16 + z^4/a^14 + (2*z^4)/a^12 + (8*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (2*z^6)/a^12 + (3*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 29548] -> 
  -a^(-12) + a^(-8) + a^(-4) - z^2/a^16 + (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^14 + (2*z^4)/a^12 + (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 29549] -> 
  -1 - 4/a^6 + 6/a^4 - 4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + 
   (11*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 29550] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29551] -> 
  8*a^8 - 10*a^10 + 3*a^12 - 3*a^4*z^2 + 4*a^6*z^2 + 28*a^8*z^2 - 
   29*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 7*a^6*z^4 + 41*a^8*z^4 - 
   33*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 32*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 29552] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 + 9*a^6*z^2 + 7*a^8*z^2 - 
   12*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 13*a^6*z^4 + 8*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 29553] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^2*z^2 + 
   3*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 29554] -> 2*a^4 - a^6 + 2*a^8 - 3*a^10 + 
   a^12 - z^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 + 
   a^12*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 29555] -> -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 15*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 29556] -> -2/a^12 + 7/a^10 - 11/a^8 + 
   7/a^6 - z^2/a^12 + (9*z^2)/a^10 - (20*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 + (20*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - z^6/a^8 + (12*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29557] -> 
  -a^(-12) + 2/a^10 - a^(-8) - 2/a^6 + 3/a^4 + (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29558] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29559] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 13*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^2 + 15*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 29560] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^4 - z^4/a^2 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 29561] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - z^2/a^12 + (7*z^2)/a^10 - 
   (17*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - 
   (12*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - 
   z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29562] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + z^8/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29563] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29564] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29565] -> 
  -5 + a^(-6) - 4/a^4 + 8/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29566] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + a^6 + 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 29567] -> 
  -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29568] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 
   5*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29569] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + a^6 + 2*z^2 - z^2/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 + 
   z^4/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 29570] -> -3 - a^(-6) + 4/a^4 - 2/a^2 + 3*a^2 - 
   13*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - 13*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 29571] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29572] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 3*z^2 - z^2/a^8 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 29573] -> 
  a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 - z^2 - z^2/a^8 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 29574] -> 4 + 3/a^4 - 7/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + 
   (8*z^2)/a^4 - (19*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + 
   (8*z^4)/a^4 - (21*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29575] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 19*z^2 + z^2/a^4 + (5*z^2)/a^2 + 
   21*a^2*z^2 - 7*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 25*a^2*z^4 - 
   9*a^4*z^4 + 2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 29576] -> a^(-10) - 7/a^8 + 11/a^6 - 6/a^4 + 2/a^2 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (23*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (13*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29577] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - 
   z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29578] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (13*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29579] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29580] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 63*z^2 + 
   (8*z^2)/a^4 - (41*z^2)/a^2 - 24*a^2*z^2 + 98*z^4 + (10*z^4)/a^4 - 
   (60*z^4)/a^2 - 32*a^2*z^4 + 79*z^6 + (5*z^6)/a^4 - (41*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 29581] -> 
  a^2 + a^4 - a^6 - z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 8*a^2*z^4 - 12*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29582] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 22*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - 11*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 29583] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 + z^2/a^2 - a^2*z^2 + 23*a^4*z^2 - 
   11*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 31*a^4*z^4 - 11*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 19*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29584] -> 
  -3 - a^(-8) + a^(-6) - a^(-4) + 4/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29585] -> 
  21 + 2/a^4 - 13/a^2 - 9*a^2 + 82*z^2 + (11*z^2)/a^4 - (55*z^2)/a^2 - 
   31*a^2*z^2 + 126*z^4 + (13*z^4)/a^4 - (78*z^4)/a^2 - 41*a^2*z^4 + 99*z^6 + 
   (6*z^6)/a^4 - (51*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 29586] -> 1 - 2/a^2 + 6*a^2 - 4*a^4 + 8*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 16*z^4 + 
   (4*z^4)/a^4 - (21*z^4)/a^2 + 29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 20*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 29587] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 + z^2 - 14*a^2*z^2 + 34*a^4*z^2 - 15*a^6*z^2 + 
   7*z^4 - 40*a^2*z^4 + 72*a^4*z^4 - 25*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 
   68*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 29588] -> -3 + 7*a^2 - 2*a^4 - a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 + 17*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29589] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29590] -> -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 
   z^2 - z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 11*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29591] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 29592] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 - (3*z^4)/a^6 + z^4/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 29593] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29594] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 14*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 29595] -> 
  9 + a^(-6) - 4/a^4 - 5*a^2 + 27*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + 
   (5*z^2)/a^2 - 14*a^2*z^2 + 33*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (14*z^4)/a^2 - 14*a^2*z^4 + 21*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 29596] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 16*z^4 + z^4/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 9*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29597] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 
   z^2/a^2 + 16*a^4*z^2 - 8*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 
   21*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 + 15*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29598] -> 1 - a^(-2) + 2*a^2 - a^6 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 11*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 29599] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29600] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 29601] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 29602] -> -1 + 5*a^2 - 8*a^4 + 9*a^6 - 4*a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 32*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29603] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 - 4*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 29604] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 29605] -> 1 - a^2 + a^4 + a^8 - a^10 + 
   z^2 + z^2/a^4 - z^2/a^2 - a^4*z^2 + 3*a^8*z^2 - z^4 - (2*z^4)/a^2 - 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 29606] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   3*z^4 - (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29607] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (14*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29608] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29609] -> 2*a^2 - 3*a^4 + 4*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 4*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 29610] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 29611] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29612] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 5*z^4 - z^4/a^6 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 29613] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 23*a^4*z^4 + 
   16*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29614] -> 2*a^2 - 2*a^6 + a^8 - 2*z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 
   7*a^4*z^4 + 9*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   7*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 29615] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 29616] -> -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29617] -> 2*a^2 - 2*a^6 + a^8 - 3*z^2 + 10*a^2*z^2 - 
   5*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 15*a^2*z^4 - 6*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29618] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 6*a^2*z^2 - 
   9*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 
   13*a^4*z^4 + 12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 29619] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29620] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29621] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29622] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 29623] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29624] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 
   5*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 3*a^2*z^4 - 
   13*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 29625] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29626] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + z^2/a^8 + (12*z^2)/a^6 - 
   (15*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 29627] -> 
  -3 - 4/a^4 + 8/a^2 - 9*z^2 - z^2/a^6 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   2*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29628] -> 1 - 3/a^8 + 7/a^6 - 5/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 - z^2/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 + 3*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29629] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 
   6*a^2*z^2 - 3*a^4*z^2 - z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29630] -> -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 
   12*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29631] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 - (18*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29632] -> 
  -3 + 2/a^8 - 9/a^6 + 8/a^4 + 3/a^2 - 7*z^2 + (3*z^2)/a^8 - (20*z^2)/a^6 + 
   (21*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (24*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 29633] -> -1 + a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 + 
   a^(-2) - 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (10*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (13*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 29634] -> 8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 16*z^2 + 
   z^2/a^6 + z^2/a^4 - (13*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 15*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29635] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - z^2/a^14 - (2*z^2)/a^12 + (2*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (3*z^4)/a^14 + (7*z^4)/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (8*z^6)/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^8)/a^12 - (4*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 29636] -> a^(-14) - 3/a^12 + 2/a^10 - 
   a^(-8) + a^(-6) + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (5*z^2)/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (5*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29637] -> 7 - 2/a^4 - 4*a^2 + 19*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - 10*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 29638] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29639] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   a^(-4) + a^(-2) + z^2 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29640] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 12*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   15*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29641] -> 6*a^8 - 6*a^10 + a^12 - 2*a^4*z^2 - 
   a^6*z^2 + 32*a^8*z^2 - 24*a^10*z^2 + 4*a^12*z^2 - 5*a^4*z^4 + 49*a^8*z^4 - 
   30*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 35*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 29642] -> 
  a^4 - 2*a^6 + 7*a^8 - 6*a^10 + a^12 - a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 
   15*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 10*a^6*z^4 + 
   12*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 29643] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 44*z^2 + 
   (6*z^2)/a^4 - (30*z^2)/a^2 - 17*a^2*z^2 + 78*z^4 + (7*z^4)/a^4 - 
   (47*z^4)/a^2 - 27*a^2*z^4 + 71*z^6 + (4*z^6)/a^4 - (35*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 29644] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29645] -> 2/a^12 - 9/a^10 + 9/a^8 - a^(-6) + 
   (3*z^2)/a^12 - (21*z^2)/a^10 + (28*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (24*z^4)/a^10 + (40*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (30*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 29646] -> 2/a^14 - 8/a^12 + 6/a^10 + 
   a^(-8) - z^2/a^18 + (8*z^2)/a^16 - (17*z^2)/a^14 - (4*z^2)/a^12 + 
   (22*z^2)/a^10 + (4*z^2)/a^8 + (5*z^4)/a^16 - (24*z^4)/a^14 + 
   (13*z^4)/a^12 + (30*z^4)/a^10 + (6*z^4)/a^8 - (8*z^6)/a^14 + 
   (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29647] -> 
  -2*a^4 + 6*a^6 - 4*a^10 + a^12 - 7*a^4*z^2 + 9*a^6*z^2 + 30*a^8*z^2 - 
   28*a^10*z^2 + 5*a^12*z^2 - 9*a^4*z^4 + 9*a^6*z^4 + 55*a^8*z^4 - 
   35*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 40*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 29648] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 + 5*z^2 - 30*a^2*z^2 + 50*a^4*z^2 - 19*a^6*z^2 + 
   8*z^4 - 47*a^2*z^4 + 79*a^4*z^4 - 26*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 
   69*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 29649] -> 19 + 2/a^4 - 12/a^2 - 8*a^2 + 59*z^2 + 
   (7*z^2)/a^4 - (38*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - 
   (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 29650] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29651] -> 
  -4 - a^(-8) + 3/a^6 - 6/a^4 + 8/a^2 + a^2 - 11*z^2 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (22*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (29*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 29652] -> -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - 
   a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 + 9*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 19*a^6*z^4 + 14*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 14*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 29653] -> 4 - a^(-4) + a^(-2) - 5*a^2 + 
   2*a^4 - (3*z^2)/a^4 + (9*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 29654] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 10*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29655] -> 
  -a^2 + 2*a^4 + a^6 + 2*a^8 - 4*a^10 + a^12 - 3*a^2*z^2 + 15*a^6*z^2 + 
   5*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 22*a^6*z^4 + 
   9*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 29656] -> -4 + a^(-2) + 4*a^2 + 3*a^4 - 3*a^6 - 
   11*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 + 20*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29657] -> 
  7 + a^(-6) - 4/a^4 + a^(-2) - 4*a^2 + 20*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 - 10*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 29658] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29659] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29660] -> 2 + a^(-4) - a^(-2) - 2*a^2 + 
   a^6 + 3*z^2 - z^2/a^8 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 29661] -> 
  -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29662] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 
   4*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 
   3*z^6 - 2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 29663] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   17*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29664] -> -8 + a^(-6) - 2/a^4 + 5/a^2 + 6*a^2 - a^4 - 
   25*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (20*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 27*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 29665] -> -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 
   2*a^2 - 12*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 29666] -> -1 + 5*a^2 - 7*a^4 + 7*a^6 - 3*a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 22*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 10*z^4 + 
   z^4/a^2 + 23*a^2*z^4 - 28*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29667] -> 
  -2 + a^(-2) + 4*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 9*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - 22*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 10*z^4 + z^4/a^2 + 
   23*a^2*z^4 - 28*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 29668] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29669] -> 2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + a^14 + 
   a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 17*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 
   2*a^4*z^4 + 6*a^6*z^4 - 10*a^8*z^4 + 16*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 29670] -> -4 + 2/a^2 + 7*a^2 - 7*a^4 + 
   3*a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 22*a^2*z^2 - 20*a^4*z^2 + 
   6*a^6*z^2 - 23*z^4 - z^4/a^4 + (8*z^4)/a^2 + 28*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29671] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 14*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29672] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 
   3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29673] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29674] -> 1 + a^6 - 2*a^8 + a^10 + 4*z^2 - z^2/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29675] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29676] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29677] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 6*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29678] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (16*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (21*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29679] -> 
  1 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 8*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29680] -> 1 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29681] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + 
   (4*z^2)/a^8 - (11*z^2)/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (17*z^4)/a^6 + (8*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29682] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29683] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29684] -> 1 + a^(-2) - 2*a^2 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 
   a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 29685] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 
   4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29686] -> -a^(-8) + 2/a^4 + z^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29687] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + z^2/a^4 + z^4 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29688] -> -a^(-12) + 2/a^6 - z^2/a^14 - z^2/a^12 + 
   (4*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + z^2/a^2 + (2*z^4)/a^12 + 
   (4*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29689] -> 
  1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29690] -> -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 29691] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^12 - (5*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29692] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 29693] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - 
   (8*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29694] -> a^(-14) - 4/a^12 + 6/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - (7*z^2)/a^12 + (18*z^2)/a^10 - (16*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (16*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 + (3*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29695] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29696] -> 
  3 - 7*a^2 + 8*a^4 - 3*a^6 + 5*z^2 - z^2/a^2 - 14*a^2*z^2 + 16*a^4*z^2 - 
   5*a^6*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 12*a^4*z^4 - 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 29697] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 10*z^2 + z^2/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 
   2*a^6*z^2 - 9*z^4 + z^4/a^4 - z^4/a^2 + 21*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 
   2*z^6 - (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 29698] -> -4 + 11*a^2 - 7*a^4 + a^6 - 
   10*z^2 + z^2/a^2 + 22*a^2*z^2 - 9*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29699] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 
   22*z^2 + z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 
   28*z^4 + z^4/a^6 - (8*z^4)/a^4 + (23*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 29700] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (3*z^2)/a^12 - (17*z^2)/a^10 + 
   (13*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (15*z^4)/a^10 + (20*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   (4*z^6)/a^10 + (13*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29701] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2 + z^2/a^12 - (7*z^2)/a^10 + (3*z^2)/a^8 + 
   (10*z^2)/a^6 - z^4 - (4*z^4)/a^10 + (5*z^4)/a^8 + (11*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29702] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29703] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (4*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 29704] -> 
  3 - a^(-6) + 3/a^4 - 4/a^2 + a^2 - a^4 + 5*z^2 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (11*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29705] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - z^2/a^14 - (2*z^2)/a^12 + (2*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (3*z^4)/a^14 + (7*z^4)/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (8*z^6)/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^8)/a^12 - (4*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 29706] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (2*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29707] -> a^(-14) - 3/a^12 + 2/a^10 - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (5*z^2)/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29708] -> 2*a^4 - 4*a^6 + 8*a^8 - 6*a^10 + a^12 - 
   a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 18*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 + 15*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 29709] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 + 11*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 
   5*a^2*z^4 + 7*a^4*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - z^6 + 6*a^2*z^6 - 
   a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 29710] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29711] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^8 - (8*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (11*z^4)/a^6 + (14*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (8*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29712] -> 2 - a^(-4) + 2/a^2 - 3*a^2 + a^6 + 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 10*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 12*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29713] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29714] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 29715] -> 5 - a^(-4) + a^(-2) - 6*a^2 + a^4 + a^6 + 
   8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 15*a^2*z^2 + 3*a^6*z^2 + 4*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 15*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29716] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - z^2/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29717] -> -3 - 2/a^6 + 6/a^4 - 3/a^2 + 3*a^2 - 
   10*z^2 - (3*z^2)/a^8 - z^2/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 
   9*z^4 - (4*z^4)/a^8 + (3*z^4)/a^6 + (16*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 29718] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 7*z^2 - (2*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 29719] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 6*z^2 - z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 29720] -> a^(-4) - a^2 + a^6 - z^2 - z^2/a^8 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4, Knot[15, Alternating, 29721] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 29722] -> 
  1 - a^6 + 2*a^8 - a^10 + z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 - z^4 - (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 29723] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 8*a^4*z^2 + 
   13*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 8*a^4*z^4 + 
   11*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 29724] -> 
  2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   11*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 
   4*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 29725] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 
   z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   3*z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 29726] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   3*z^2 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29727] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 29728] -> 2*a^2 - a^4 - 10*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29729] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29730] -> -1 - a^(-6) + 3/a^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29731] -> 1 + 6*z^2 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29732] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29733] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 29734] -> 1 + a^2 - a^4 - a^8 + a^10 + 2*z^2 - 
   z^2/a^2 - 2*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   a^2*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 29735] -> 1 + 2*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 29736] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 29737] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29738] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (5*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29739] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29740] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (17*z^2)/a^14 + 
   (13*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (11*z^4)/a^14 + (26*z^4)/a^12 + (22*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (18*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29741] -> 
  1 + z^2 + z^2/a^8 - (2*z^2)/a^4 - 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29742] -> a^(-16) - 3/a^14 - a^(-12) + 
   3/a^10 + a^(-8) - z^2/a^16 - (6*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (9*z^4)/a^12 + 
   (14*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 29743] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29744] -> -a^(-18) + 8/a^16 - 17/a^14 + 9/a^12 + 
   2/a^10 - z^2/a^18 + (15*z^2)/a^16 - (55*z^2)/a^14 + (44*z^2)/a^12 + 
   (11*z^2)/a^10 + (4*z^4)/a^16 - (53*z^4)/a^14 + (76*z^4)/a^12 + 
   (21*z^4)/a^10 - (3*z^6)/a^16 - (15*z^6)/a^14 + (60*z^6)/a^12 + 
   (18*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 29745] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (12*z^2)/a^14 + 
   (3*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + 
   (13*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29746] -> 
  -a^(-18) + 7/a^16 - 13/a^14 + 4/a^12 + 4/a^10 + (6*z^2)/a^16 - 
   (26*z^2)/a^14 + (11*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - 
   (16*z^4)/a^14 + (20*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 29747] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) - (5*z^2)/a^14 - 
   (4*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (5*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 29748] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - z^2/a^8 + 
   (12*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + 
   (4*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29749] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29750] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 15*z^2 - 
   (5*z^2)/a^6 + (27*z^2)/a^4 - (37*z^2)/a^2 + 25*z^4 - (8*z^4)/a^6 + 
   (46*z^4)/a^4 - (73*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 29751] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 3*z^2 - (3*z^2)/a^6 + (17*z^2)/a^4 - 
   (21*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - 
   (22*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + (9*z^6)/a^4 - (13*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29752] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   8*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 - (11*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - (20*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 29753] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 29754] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 23*z^2 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   11*a^2*z^2 + 28*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 
   17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 29755] -> 3 - a^(-4) - a^4 + 7*z^2 - (2*z^2)/a^4 + 
   2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + z^4/a^6 - (2*z^4)/a^4 + 4*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 29756] -> 2/a^8 - 14/a^6 + 21/a^4 - 8/a^2 + 
   (7*z^2)/a^8 - (49*z^2)/a^6 + (83*z^2)/a^4 - (32*z^2)/a^2 + (9*z^4)/a^8 - 
   (67*z^4)/a^6 + (126*z^4)/a^4 - (42*z^4)/a^2 + (5*z^6)/a^8 - (45*z^6)/a^6 + 
   (99*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 29757] -> -3 - 4/a^6 + 4/a^4 + 4/a^2 - 12*z^2 + 
   (2*z^2)/a^8 - (14*z^2)/a^6 + (14*z^2)/a^4 + (18*z^2)/a^2 - 13*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (20*z^4)/a^4 + (28*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (15*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29758] -> -1 + 2/a^8 - 12/a^6 + 16/a^4 - 4/a^2 - 
   8*z^2 + (4*z^2)/a^8 - (26*z^2)/a^6 + (36*z^2)/a^4 + (2*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (23*z^4)/a^6 + (35*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (19*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29759] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 4*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 - z^2/a^4 + (19*z^2)/a^2 - 3*a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 29760] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29761] -> 
  -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29762] -> 4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + 
   (6*z^2)/a^16 - (40*z^2)/a^14 + (38*z^2)/a^12 + (11*z^2)/a^10 - 
   (2*z^4)/a^16 - (37*z^4)/a^14 + (71*z^4)/a^12 + (21*z^4)/a^10 - 
   (4*z^6)/a^16 - (8*z^6)/a^14 + (59*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 29763] -> 3/a^16 - 8/a^14 + 2/a^12 + 
   4/a^10 + (2*z^2)/a^16 - (19*z^2)/a^14 + (10*z^2)/a^12 + (19*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (12*z^4)/a^14 + (22*z^4)/a^12 + 
   (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 29764] -> 3/a^16 - 9/a^14 + 5/a^12 + a^(-10) + 
   a^(-8) + (2*z^2)/a^16 - (21*z^2)/a^14 + (18*z^2)/a^12 + (10*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (13*z^4)/a^14 + (29*z^4)/a^12 + 
   (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (19*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 29765] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) - 
   (9*z^2)/a^14 + (3*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 29766] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 - 2*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 29767] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 + 7*z^4 - (5*z^4)/a^6 + (19*z^4)/a^4 - (22*z^4)/a^2 + 9*z^6 - 
   (4*z^6)/a^6 + (22*z^6)/a^4 - (29*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 29768] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (3*z^2)/a^10 + (14*z^2)/a^8 - (18*z^2)/a^6 + (11*z^2)/a^4 - 
   (7*z^4)/a^10 + (31*z^4)/a^8 - (42*z^4)/a^6 + (15*z^4)/a^4 - (5*z^6)/a^10 + 
   (30*z^6)/a^8 - (45*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - 
   (26*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 29769] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 - (2*z^2)/a^10 + (10*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (13*z^4)/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 29770] -> 
  -2 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (21*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29771] -> 
  12 + a^(-4) - 7/a^2 - 5*a^2 + 35*z^2 + (4*z^2)/a^4 - (22*z^2)/a^2 - 
   13*a^2*z^2 + 57*z^4 + (6*z^4)/a^4 - (35*z^4)/a^2 - 19*a^2*z^4 + 53*z^6 + 
   (4*z^6)/a^4 - (29*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 29772] -> a^(-8) - 10/a^6 + 16/a^4 - 6/a^2 + 
   (5*z^2)/a^8 - (34*z^2)/a^6 + (59*z^2)/a^4 - (22*z^2)/a^2 + (8*z^4)/a^8 - 
   (51*z^4)/a^6 + (91*z^4)/a^4 - (30*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 29773] -> -1 + a^(-8) - 8/a^6 + 11/a^4 - 2/a^2 - 
   5*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + (26*z^2)/a^4 + z^2/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (25*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (14*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29774] -> 2/a^12 - 8/a^10 + 7/a^8 + (5*z^2)/a^12 - 
   (26*z^2)/a^10 + (29*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - 
   (31*z^4)/a^10 + (45*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (16*z^6)/a^10 + (34*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29775] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (6*z^4)/a^8 + (19*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29776] -> a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (17*z^2)/a^4 + z^2/a^2 - 8*z^4 + 
   (3*z^4)/a^8 - (23*z^4)/a^6 + (31*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (28*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29777] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 6*z^2 - 
   18*a^2*z^2 + 16*a^4*z^2 - 4*a^6*z^2 + (2*z^4)/a^2 - 16*a^2*z^4 + 
   16*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + z^6/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29778] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (17*z^2)/a^8 - (19*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (24*z^4)/a^8 - (34*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (29*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 29779] -> a^(-2) - a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 - z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 29780] -> 1 - 2/a^6 + 8/a^4 - 8/a^2 + 
   2*a^2 - 4*z^2 - (5*z^2)/a^6 + (28*z^2)/a^4 - (32*z^2)/a^2 + 9*a^2*z^2 - 
   12*z^4 - (4*z^4)/a^6 + (34*z^4)/a^4 - (50*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (17*z^6)/a^4 - (38*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 29781] -> -a^(-8) + 3/a^6 - 3/a^2 + 2*a^2 - z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (16*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 - (22*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 29782] -> 
  4*a^4 - 4*a^6 + a^8 - 2*z^2 + 14*a^4*z^2 - 14*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 
   6*a^2*z^4 + 12*a^4*z^4 - 18*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 + 
   a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 29783] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 8*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (15*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (19*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29784] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 23*z^2 + (4*z^2)/a^4 - (17*z^2)/a^2 - 
   8*a^2*z^2 + 44*z^4 + (6*z^4)/a^4 - (31*z^4)/a^2 - 15*a^2*z^4 + 47*z^6 + 
   (4*z^6)/a^4 - (28*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 29785] -> a^(-8) - 4/a^6 + 4/a^4 + (5*z^2)/a^8 - 
   (17*z^2)/a^6 + (19*z^2)/a^4 - (5*z^2)/a^2 + (8*z^4)/a^8 - (34*z^4)/a^6 + 
   (40*z^4)/a^4 - (13*z^4)/a^2 + (5*z^6)/a^8 - (31*z^6)/a^6 + (44*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 29786] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 
   (3*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29787] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 8*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 11*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 29788] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 9*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 12*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 29789] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 8*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 22*a^2*z^4 + 
   9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 29790] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (12*z^2)/a^8 + (23*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 - (6*z^4)/a^8 + (26*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29791] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29792] -> 
  -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 7*a^4*z^2 + 19*a^6*z^2 + 4*a^8*z^2 - 
   11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 7*a^4*z^4 + 25*a^6*z^4 + 
   11*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 10*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 29793] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + 
   (5*z^2)/a^8 - (24*z^2)/a^6 + (34*z^2)/a^4 - (11*z^2)/a^2 + (8*z^4)/a^8 - 
   (38*z^4)/a^6 + (54*z^4)/a^4 - (17*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + 
   (50*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 29794] -> 2/a^12 - 8/a^10 + 7/a^8 + (7*z^2)/a^12 - 
   (32*z^2)/a^10 + (39*z^2)/a^8 - (6*z^2)/a^6 + (11*z^4)/a^12 - 
   (52*z^4)/a^10 + (72*z^4)/a^8 - (17*z^4)/a^6 + (6*z^6)/a^12 - 
   (41*z^6)/a^10 + (65*z^6)/a^8 - (17*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + 
   (33*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + 
   z^12/a^8, Knot[15, Alternating, 29795] -> a^(-12) - 3/a^10 - a^(-8) + 
   5/a^6 - a^(-4) + (4*z^2)/a^12 - (13*z^2)/a^10 + (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (22*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29796] -> 
  2/a^12 - 8/a^10 + 8/a^8 - 2/a^6 + a^(-4) + (4*z^2)/a^12 - (18*z^2)/a^10 + 
   (20*z^2)/a^8 + z^2/a^6 + (4*z^4)/a^12 - (18*z^4)/a^10 + (19*z^4)/a^8 + 
   (8*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (11*z^6)/a^8 + 
   (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29797] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 + (10*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (10*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29798] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 29799] -> -6 + 4/a^2 + 4*a^2 - 3*a^4 + 2*a^6 - 
   24*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 30*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29800] -> 1 + 2/a^4 - 2/a^2 - 2*a^4 + 2*a^6 - z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 29801] -> a^4 + a^6 + 2*a^8 - 5*a^10 + 2*a^12 + 
   2*a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 11*a^10*z^2 + 5*a^12*z^2 - 3*a^4*z^4 + 
   9*a^6*z^4 + a^8*z^4 - 14*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 
   4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 29802] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 
   6*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 
   5*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 29803] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - 
   2*z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 17*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29804] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 - a^4*z^2 + 11*a^6*z^2 + 2*a^8*z^2 - 
   11*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 + 2*a^8*z^4 - 
   13*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 29805] -> 
  5*a^6 - 4*a^8 - a^10 + a^12 + a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 - 
   4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 2*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 29806] -> 
  2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 29807] -> 
  4*a^6 - 3*a^8 + 2*z^2 - 5*a^2*z^2 + a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 
   7*z^4 - 13*a^2*z^4 - 2*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 
   13*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 29808] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 3*a^2*z^2 + 
   4*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29809] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 + z^2/a^2 - 3*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 29810] -> 
  2*a^4 - a^8 - 2*z^2 + z^2/a^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 29811] -> 
  7*a^4 - 10*a^6 + 4*a^8 - 6*a^2*z^2 + 32*a^4*z^2 - 43*a^6*z^2 + 16*a^8*z^2 - 
   17*a^2*z^4 + 58*a^4*z^4 - 67*a^6*z^4 + 17*a^8*z^4 - 17*a^2*z^6 + 
   58*a^4*z^6 - 48*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 
   16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 29812] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - 2*z^2 + 
   6*a^2*z^2 + 4*a^4*z^2 - 18*a^6*z^2 + 8*a^8*z^2 - 5*z^4 + 8*a^2*z^4 + 
   7*a^4*z^4 - 22*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29813] -> 
  4*a^2 - 3*a^4 - 2*a^6 + 2*a^8 - 4*z^2 + 14*a^2*z^2 - 11*a^4*z^2 - 
   7*a^6*z^2 + 5*a^8*z^2 - 8*z^4 + 20*a^2*z^4 - 9*a^4*z^4 - 13*a^6*z^4 + 
   4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 2*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29814] -> a^2 + 4*a^4 - 6*a^6 + a^8 + a^10 + 
   9*a^4*z^2 - 10*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - 6*a^2*z^4 + 12*a^4*z^4 - 
   5*a^6*z^4 - 17*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 12*a^4*z^6 + 5*a^6*z^6 - 
   11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[15, Alternating, 29815] -> 
  3*a^2 - a^4 - 2*a^6 + a^10 + 2*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 - 3*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 29816] -> 5*a^2 - 6*a^4 + 2*a^6 - a^8 + 
   a^10 - 2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 5*a^2*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 29817] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29818] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 
   17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 29819] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29820] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29821] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29822] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   15*z^4 + (2*z^4)/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 29823] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 4*z^6 - z^6/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 29824] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29825] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (7*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (8*z^4)/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 29826] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29827] -> -a^(-6) + a^(-4) + a^(-2) + 
   6*z^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - (13*z^2)/a^2 + 15*z^4 - (5*z^4)/a^6 + 
   (27*z^4)/a^4 - (41*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - 
   (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 29828] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29829] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29830] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 44*z^2 + 
   z^2/a^4 - (20*z^2)/a^2 - 19*a^2*z^2 + 80*z^4 + (5*z^4)/a^4 - 
   (39*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - (33*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 29831] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 - (6*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 14*z^4 + (2*z^4)/a^4 - (11*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   11*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 29832] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   8*z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29833] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (19*z^2)/a^4 - z^2/a^2 - 6*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (29*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 29834] -> 
  -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 4*z^2 - (3*z^2)/a^6 + (20*z^2)/a^4 - 
   (23*z^2)/a^2 + 7*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (24*z^4)/a^4 - 
   (36*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (29*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 29835] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 4*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 
   7*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 12*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 29836] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 29837] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + (3*z^2)/a^12 - (10*z^2)/a^10 + 
   z^2/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + 
   (7*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (7*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29838] -> -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^8 - 
   (12*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 + (8*z^4)/a^8 - (32*z^4)/a^6 + 
   (36*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - (31*z^6)/a^6 + (43*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 29839] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29840] -> -6 + 4/a^2 + 3*a^2 - a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 29841] -> 
  3*a^4 - 2*a^6 + a^8 - 2*a^10 + a^12 - a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 29842] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29843] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 - 2*a^4*z^2 + 
   14*a^6*z^2 - a^8*z^2 - 12*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 16*a^6*z^4 + 
   2*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 + 
   5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 29844] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 
   4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 29845] -> -a^(-8) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   z^2/a^10 - (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   z^4/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 29846] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29847] -> 2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 29848] -> 6*a^4 - 8*a^6 + 3*a^8 - 
   3*a^2*z^2 + 22*a^4*z^2 - 31*a^6*z^2 + 12*a^8*z^2 - 12*a^2*z^4 + 
   41*a^4*z^4 - 50*a^6*z^4 + 13*a^8*z^4 - 13*a^2*z^6 + 44*a^4*z^6 - 
   38*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 29849] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 
   2*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 29850] -> 3*a^2 - 2*a^4 - a^8 + a^10 + 
   5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   5*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29851] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + (7*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 29852] -> 1 + a^(-8) - 2/a^6 + a^(-4) + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29853] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (14*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29854] -> -3/a^8 + 4/a^6 - z^2/a^14 + (3*z^2)/a^12 + 
   z^2/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 29855] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   19*a^2*z^4 - 20*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 29856] -> 1 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - a^4*z^2 + a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29857] -> 3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 + z^2 - 
   a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 5*a^10*z^2 + z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 29858] -> 
  -2 + 6*a^2 - 3*a^4 - 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 14*a^2*z^2 - 
   6*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29859] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29860] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29861] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 29862] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29863] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 29864] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29865] -> 1 + 2*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 29866] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + (5*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 29867] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 29868] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 29869] -> 1 - 2/a^8 + 6/a^6 - 6/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29870] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29871] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29872] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29873] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^12 - 
   (3*z^4)/a^10 - (11*z^4)/a^8 + (4*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29874] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29875] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 29876] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   7*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29877] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (2*z^2)/a^10 + (16*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (7*z^4)/a^8 + (14*z^4)/a^6 - 
   (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (10*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 29878] -> 
  -4 - 3/a^6 + 5/a^4 + a^(-2) + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29879] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   z^2/a^4 + (12*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 29880] -> 
  -4 - 3/a^6 + 5/a^4 + a^(-2) + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29881] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   z^2/a^4 + (12*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 29882] -> 
  -8 - 4/a^4 + 10/a^2 + 4*a^2 - a^4 - 22*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (25*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (25*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29883] -> -2 - 2/a^6 + 4/a^4 - a^(-2) + 
   3*a^2 - a^4 - 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 29884] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29885] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 20*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (21*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 29886] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29887] -> -4 - 3/a^4 + 7/a^2 + a^2 - 16*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 19*z^4 + (10*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 + (2*z^6)/a^4 - z^6/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29888] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - 
   (6*z^2)/a^10 + (15*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (17*z^4)/a^6 - (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29889] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 29890] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   9*z^4 + z^4/a^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29891] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2 + z^2/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4 - (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 29892] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^8 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29893] -> 2 + 3/a^6 - 7/a^4 + 4/a^2 - a^2 + 4*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29894] -> 2 + 3/a^4 - 6/a^2 + 4*a^2 - 2*a^4 + 
   (7*z^2)/a^4 - (16*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + 
   (7*z^4)/a^4 - (18*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29895] -> 
  -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 + z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 29896] -> 
  1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29897] -> 
  -5 + 3/a^2 + 3*a^2 + a^4 - 2*a^6 + a^8 - 11*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 29898] -> 
  a^(-12) - 2/a^10 + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (10*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 29899] -> 
  a^(-12) - 2/a^10 + a^(-6) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - 
   (4*z^2)/a^10 + z^2/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29900] -> 
  3/a^4 - 5/a^2 + 5*a^2 - 2*a^4 + z^2 + (7*z^2)/a^4 - (17*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - z^4 + (7*z^4)/a^4 - (19*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29901] -> a^(-6) - 2/a^2 + 3*a^2 - a^4 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29902] -> -1 + a^(-4) + a^4 - 5*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29903] -> -a^(-8) + 2/a^4 - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (13*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29904] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 - (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29905] -> 
  2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 29906] -> 
  1 + a^(-10) - a^(-8) - a^(-6) + a^(-4) + 2*z^2 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4 - z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 29907] -> 
  a^(-12) - 3/a^10 + 2/a^8 + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 29908] -> 
  2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 4*z^2 - z^2/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 + 
   3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 29909] -> 3 + 3/a^4 - 7/a^2 + 5*a^2 - 3*a^4 + 4*z^2 + 
   (9*z^2)/a^4 - (21*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + (10*z^4)/a^4 - 
   (26*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (5*z^6)/a^4 - 
   (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29910] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29911] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 29912] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 29913] -> -4 - 2/a^8 + 5/a^6 - 7/a^4 + 8/a^2 + a^2 - 
   11*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (22*z^2)/a^4 + (21*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + 
   (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 29914] -> -2 - a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + 
   2/a^2 + a^2 - 4*z^2 - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 29915] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   7*a^2*z^2 - 24*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   16*z^6 - z^6/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29916] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   8*z^2 - z^2/a^6 + (5*z^2)/a^4 + 4*a^2*z^2 - 7*z^4 - z^4/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29917] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 30*z^2 - 
   (7*z^2)/a^2 - 38*a^2*z^2 + 14*a^4*z^2 + 49*z^4 - (9*z^4)/a^2 - 
   71*a^2*z^4 + 24*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 29918] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 
   9*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 29919] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 10*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 22*a^2*z^2 + 9*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 27*a^2*z^4 + 10*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 29920] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   7*a^2*z^2 + 4*a^4*z^2 - 8*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 29921] -> 
  -1 + 6*a^4 - 4*a^6 - 3*z^2 - 2*a^2*z^2 + 21*a^4*z^2 - 10*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29922] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 5*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 
   4*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 29923] -> 23 + 2/a^4 - 14/a^2 - 10*a^2 + 85*z^2 + 
   (9*z^2)/a^4 - (53*z^2)/a^2 - 33*a^2*z^2 + 127*z^4 + (10*z^4)/a^4 - 
   (71*z^4)/a^2 - 42*a^2*z^4 + 99*z^6 + (5*z^6)/a^4 - (46*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 29924] -> 
  3 - 3/a^2 + 5*a^2 - 4*a^4 + 9*z^2 + (2*z^2)/a^4 - (12*z^2)/a^2 + 
   20*a^2*z^2 - 12*a^4*z^2 + 16*z^4 + (3*z^4)/a^4 - (17*z^4)/a^2 + 
   29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (10*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 29925] -> 15 - 7/a^2 - 7*a^2 + 37*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 - (6*z^2)/a^2 - 17*a^2*z^2 + 40*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 29926] -> 
  1 - a^(-4) + 4*a^2 - 3*a^4 + 9*z^2 + z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 14*z^4 + z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 29927] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (5*z^2)/a^12 - (21*z^2)/a^10 + 
   (17*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (27*z^4)/a^10 + 
   (34*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 29928] -> -4 - a^(-8) + a^(-6) - 2/a^4 + 6/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 29929] -> -3 + a^(-8) - 6/a^6 + 5/a^4 + 4/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + (20*z^2)/a^4 + (11*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + (34*z^4)/a^4 + (14*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 29930] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (20*z^4)/a^8 - (22*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 29931] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   5*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 29932] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (16*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 29933] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 29934] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 7*z^2 - (4*z^2)/a^6 + (16*z^2)/a^4 - 
   (18*z^2)/a^2 + 15*z^4 - (8*z^4)/a^6 + (35*z^4)/a^4 - (45*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 29935] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 
   9*z^2 - z^2/a^4 - 15*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 14*a^2*z^4 + 5*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   9*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 29936] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 
   6*z^2 - z^2/a^8 + z^2/a^6 + (9*z^2)/a^4 - (15*z^2)/a^2 + 6*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 - (17*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 29937] -> -3 + 7*a^2 - 2*a^4 - a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 11*z^4 + z^4/a^4 + 
   19*a^2*z^4 - 2*a^6*z^4 - 3*z^6 - (2*z^6)/a^2 + 10*a^2*z^6 + a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 29938] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + (21*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 29939] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 29940] -> 18 + a^(-4) - 10/a^2 - 8*a^2 + 64*z^2 + 
   (6*z^2)/a^4 - (38*z^2)/a^2 - 25*a^2*z^2 + 98*z^4 + (9*z^4)/a^4 - 
   (56*z^4)/a^2 - 32*a^2*z^4 + 79*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 29941] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 11*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 29942] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 - a^2*z^2 - a^4*z^2 + 9*a^6*z^2 + 9*a^8*z^2 - 
   11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 + 14*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 10*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 29943] -> -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + z^2/a^2 + 
   a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 
   18*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29944] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 25*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 12*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 29945] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 9*z^2 + z^2/a^4 - (7*z^2)/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 25*z^4 + (3*z^4)/a^4 - (19*z^4)/a^2 + 9*a^2*z^4 - 
   8*a^4*z^4 + 26*z^6 + z^6/a^4 - (14*z^6)/a^2 + 9*a^2*z^6 - 5*a^4*z^6 + 
   12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 29946] -> -1 - 2/a^4 + 4/a^2 + 5*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 14*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 29947] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (17*z^2)/a^4 - (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (10*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 29948] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - z^2 + 
   z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   z^4 - (3*z^4)/a^8 + (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 29949] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 6*z^2 - 
   20*a^2*z^2 + 20*a^4*z^2 - 6*a^6*z^2 + (2*z^4)/a^2 - 19*a^2*z^4 + 
   24*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 - 5*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29950] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 + 
   z^2/a^6 - z^2/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 29951] -> 
  1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 - z^2 + z^2/a^2 - 8*a^2*z^2 + 
   10*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 29952] -> 
  a^(-2) - a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 11*a^2*z^2 + 
   4*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 17*a^2*z^4 + 6*a^4*z^4 - 
   z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 29953] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 29954] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 
   2*a^4 + 5*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 29955] -> 6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 19*a^4*z^2 - 
   26*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 16*a^4*z^4 - 31*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 29956] -> 4 - 5*a^2 + a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 10*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29957] -> 
  -1 + 2/a^2 - a^2 + a^6 - 6*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 29958] -> 1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + z^2 - 
   z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29959] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 29960] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 29961] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 + 11*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 
   5*a^2*z^4 + 7*a^4*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - z^6 + 6*a^2*z^6 - 
   a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 29962] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 9*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 8*z^4 + (3*z^4)/a^4 + 
   11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 29963] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 24*z^2 + (6*z^2)/a^4 - (21*z^2)/a^2 - 
   8*a^2*z^2 + 47*z^4 + (9*z^4)/a^4 - (39*z^4)/a^2 - 15*a^2*z^4 + 48*z^6 + 
   (5*z^6)/a^4 - (33*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 29964] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + z^2/a^2 - 
   11*a^2*z^2 + 19*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   22*a^4*z^4 - 8*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29965] -> 4 + a^(-4) - 3/a^2 - a^2 + 10*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 29966] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 29967] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - (2*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 10*a^2*z^4 - 17*a^4*z^4 + 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 29968] -> 
  3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 5*z^2 - z^2/a^4 - 8*a^4*z^2 + 
   5*a^6*z^2 + 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4 - z^6 - 3*a^2*z^6 - 4*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 29969] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   7*a^2*z^4 + 18*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29970] -> 2 - a^(-2) + a^4 - a^6 + a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 29971] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (19*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (3*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29972] -> -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 
   2*a^12 - 7*a^4*z^2 + 17*a^6*z^2 + 10*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 24*a^6*z^4 + 15*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 16*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 29973] -> -1 + 3*a^2 - a^6 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 29974] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (5*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 29975] -> 3*a^6 - 3*a^10 + a^12 - 2*a^2*z^2 + 
   a^4*z^2 + 11*a^6*z^2 + a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   4*a^4*z^4 + 12*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 29976] -> 
  2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + (9*z^2)/a^8 - (37*z^2)/a^6 + 
   (49*z^2)/a^4 - (16*z^2)/a^2 + (12*z^4)/a^8 - (58*z^4)/a^6 + (79*z^4)/a^4 - 
   (25*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + (69*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 29977] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + (5*z^2)/a^8 - (15*z^2)/a^6 + 
   (8*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (11*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29978] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 18*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (8*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 29979] -> -3/a^6 + 5/a^4 - a^(-2) + (3*z^2)/a^10 - 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (2*z^4)/a^6 + (19*z^4)/a^4 - (8*z^4)/a^2 + z^6/a^10 - 
   (10*z^6)/a^8 + (7*z^6)/a^6 + (14*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + 
   (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 29980] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 29981] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 29982] -> -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 16*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 29983] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29984] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 2*z^2 - 
   3*a^2*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - z^4 + a^2*z^4 - 
   8*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 
   8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 29985] -> a^(-4) - a^(-2) + 3*a^2 - 
   4*a^4 + 2*a^6 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 29986] -> 
  -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 27*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   21*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 31*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 + 25*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 29987] -> 2 + 2/a^4 - 3/a^2 + a^2 - 3*a^4 + 
   2*a^6 - z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 29988] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 9*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - 5*z^4 + 13*a^2*z^4 - 8*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 29989] -> 
  -a^(-4) + 2/a^2 - z^2 + z^2/a^4 + a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 29990] -> 
  4*a^6 - a^8 - 4*a^10 + 2*a^12 - 2*a^4*z^2 + 12*a^6*z^2 + 3*a^8*z^2 - 
   14*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 15*a^6*z^4 + 6*a^8*z^4 - 
   16*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 29991] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 28*a^2*z^2 - 
   20*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 23*z^4 + (6*z^4)/a^2 + 34*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 
   6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 29992] -> 
  -7 + 4/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 20*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 29993] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 
   2*a^2*z^2 - 5*a^4*z^2 + 20*a^6*z^2 - 20*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 25*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 29994] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 7*a^2*z^2 - 15*a^4*z^2 + 
   15*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 24*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 29995] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 10*z^2 + (5*z^2)/a^4 - (14*z^2)/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + (9*z^4)/a^4 - (21*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 29996] -> 3 - a^(-4) - a^4 + 10*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 29997] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 29998] -> 2 - 2*a^2 + a^4 + z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 29999] -> 
  5 - 8*a^2 + 4*a^4 + 24*z^2 - (6*z^2)/a^2 - 34*a^2*z^2 + 12*a^4*z^2 + 
   45*z^4 - (13*z^4)/a^2 - 51*a^2*z^4 + 13*a^4*z^4 + 45*z^6 - (13*z^6)/a^2 - 
   38*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 30000] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   11*a^4*z^2 + 5*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30001] -> 6*a^4 - 8*a^6 + 3*a^8 - 5*a^2*z^2 + 
   26*a^4*z^2 - 33*a^6*z^2 + 12*a^8*z^2 - 13*a^2*z^4 + 45*a^4*z^4 - 
   51*a^6*z^4 + 13*a^8*z^4 - 13*a^2*z^6 + 45*a^4*z^6 - 38*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 30002] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 + 11*a^2*z^2 - 7*a^4*z^2 - 7*a^6*z^2 + 
   5*a^8*z^2 - 6*z^4 + 14*a^2*z^4 - 4*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30003] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - a^4*z^2 + 
   9*a^6*z^2 + 6*a^8*z^2 - 13*a^10*z^2 + 4*a^12*z^2 - 2*a^4*z^4 + 9*a^6*z^4 + 
   8*a^8*z^4 - 14*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 30004] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 14*z^2 + (4*z^2)/a^4 - (14*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + (6*z^4)/a^4 - (17*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 + (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30005] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (4*z^2)/a^4 - 
   (11*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 30006] -> 1 - 4/a^8 + 6/a^6 - 2/a^2 + 
   3*z^2 - (2*z^2)/a^10 - z^2/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30007] -> 
  1 - 2/a^10 + 2/a^8 + a^(-6) - a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + (2*z^4)/a^10 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 30008] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - (5*z^2)/a^10 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - 
   (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30009] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30010] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 
   3/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30011] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (17*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (16*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30012] -> 
  -a^(-18) + 7/a^16 - 12/a^14 + 2/a^12 + 5/a^10 + (8*z^2)/a^16 - 
   (31*z^2)/a^14 + (14*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 - 
   (23*z^4)/a^14 + (28*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   (3*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 30013] -> 
  a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 2/a^8 + z^2/a^16 - (7*z^2)/a^14 - 
   (3*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (6*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 30014] -> -5 - a^(-4) + 5/a^2 + 2*a^2 - a^4 + a^6 - 
   19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 30015] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (14*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (19*z^4)/a^10 + 
   (27*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30016] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30017] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 30018] -> -a^(-12) + 3/a^10 - 5/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) + z^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30019] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 20*z^2 - (5*z^2)/a^2 - 26*a^2*z^2 + 
   9*a^4*z^2 + 33*z^4 - (6*z^4)/a^2 - 47*a^2*z^4 + 16*a^4*z^4 + 28*z^6 - 
   (4*z^6)/a^2 - 48*a^2*z^6 + 14*a^4*z^6 + 12*z^8 - z^8/a^2 - 27*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 30020] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 7*z^2 - 
   (4*z^2)/a^6 + (16*z^2)/a^4 - (19*z^2)/a^2 + 15*z^4 - (6*z^4)/a^6 + 
   (31*z^4)/a^4 - (43*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (28*z^6)/a^4 - 
   (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 30021] -> 
  -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 2*a^12 - 4*a^4*z^2 + 3*a^6*z^2 + 
   33*a^8*z^2 - 28*a^10*z^2 + 5*a^12*z^2 - 6*a^4*z^4 + 3*a^6*z^4 + 
   51*a^8*z^4 - 32*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 
   36*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 30022] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 + 3*z^2 - 21*a^2*z^2 + 37*a^4*z^2 - 15*a^6*z^2 + 
   5*z^4 - 38*a^2*z^4 + 70*a^4*z^4 - 25*a^6*z^4 + 4*z^6 - 32*a^2*z^6 + 
   67*a^4*z^6 - 19*a^6*z^6 + z^8 - 13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 30023] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 55*z^2 + 
   (4*z^2)/a^4 - (31*z^2)/a^2 - 22*a^2*z^2 + 86*z^4 + (6*z^4)/a^4 - 
   (45*z^4)/a^2 - 29*a^2*z^4 + 73*z^6 + (4*z^6)/a^4 - (34*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 30024] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 4*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (21*z^2)/a^4 + z^2/a^2 - 6*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (30*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 30025] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30026] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + z^2/a^8 - 
   (7*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - 5*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (17*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (19*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 30027] -> 
  -a^(-10) + 5/a^8 - 8/a^6 + 4/a^4 + a^(-2) - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (19*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - 
   (29*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (25*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30028] -> 2 - 2/a^6 + 7/a^4 - 7/a^2 + a^2 - z^2 - 
   (3*z^2)/a^6 + (18*z^2)/a^4 - (21*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (23*z^4)/a^4 - (33*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (14*z^6)/a^4 - (28*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 30029] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 30030] -> -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30031] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30032] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 
   8*z^2 - z^2/a^4 + z^2/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 16*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 30033] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - z^2/a^6 + (8*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 30034] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 35*z^2 + (7*z^2)/a^4 - (28*z^2)/a^2 - 
   12*a^2*z^2 + 55*z^4 + (9*z^4)/a^4 - (42*z^4)/a^2 - 17*a^2*z^4 + 50*z^6 + 
   (5*z^6)/a^4 - (33*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 30035] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + 
   (7*z^2)/a^8 - (28*z^2)/a^6 + (36*z^2)/a^4 - (11*z^2)/a^2 + (9*z^4)/a^8 - 
   (42*z^4)/a^6 + (55*z^4)/a^4 - (17*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + 
   (50*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 30036] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 30037] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (14*z^4)/a^6 - (18*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30038] -> 
  7 - 3/a^2 - 3*a^2 + 17*z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 
   7*a^2*z^2 + 20*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 
   13*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 30039] -> 4 + 2/a^6 - 3/a^4 - a^(-2) - a^2 + 6*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30040] -> 3/a^4 - 5/a^2 + 5*a^2 - 2*a^4 - 3*z^2 + 
   (7*z^2)/a^4 - (15*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + 
   (9*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30041] -> 
  3 + a^(-6) - 3/a^2 + 5*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 30042] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30043] -> a^2 - a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 13*a^6*z^2 - 15*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 30044] -> 
  -6 + 4/a^2 + 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 9*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 30045] -> 
  2/a^4 - 2/a^2 + a^2 - a^6 + a^8 - 2*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 3*a^6*z^2 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 30046] -> 
  4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 - a^4*z^2 + 14*a^6*z^2 - 
   13*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 + 12*a^6*z^4 - 13*a^8*z^4 + 
   9*a^10*z^4 - a^2*z^6 + 4*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 30047] -> -1 + a^(-2) + a^2 - 9*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 30048] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 - a^2*z^2 + 2*a^4*z^2 + 10*a^6*z^2 - 
   7*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 10*a^6*z^4 - 
   5*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 30049] -> -6 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 30050] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 15*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30051] -> a^2 + a^4 - a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30052] -> 3*a^4 - a^6 - 2*a^8 + a^10 + z^2 - 
   2*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30053] -> -3 + 8*a^2 - 4*a^4 - 5*z^2 + (5*z^2)/a^4 - 
   (9*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + (9*z^4)/a^4 - 
   (18*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30054] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 + (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 30055] -> 
  -3 + 2/a^2 + 2*a^2 + z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 15*z^4 - 
   (4*z^4)/a^2 - 24*a^2*z^4 + 8*a^4*z^4 + 25*z^6 - (8*z^6)/a^2 - 26*a^2*z^6 + 
   5*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - 
   z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 30056] -> 
  2*a^2 - 2*a^6 + a^8 + 7*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 5*a^2*z^4 + 
   19*a^4*z^4 - 26*a^6*z^4 + 8*a^8*z^4 - 8*a^2*z^6 + 26*a^4*z^6 - 
   26*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 19*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 30057] -> 7*a^4 - 10*a^6 + 4*a^8 - 8*a^2*z^2 + 
   36*a^4*z^2 - 45*a^6*z^2 + 16*a^8*z^2 - 20*a^2*z^4 + 66*a^4*z^4 - 
   70*a^6*z^4 + 17*a^8*z^4 - 18*a^2*z^6 + 63*a^4*z^6 - 49*a^6*z^6 + 
   7*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 30058] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 - 4*z^2 + 12*a^2*z^2 - 4*a^4*z^2 - 13*a^6*z^2 + 
   7*a^8*z^2 - 8*z^4 + 17*a^2*z^4 - 20*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 
   14*a^2*z^6 + 7*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30059] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2 - 2*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30060] -> a^2 + 4*a^4 - 6*a^6 + a^8 + a^10 - 
   2*a^2*z^2 + 13*a^4*z^2 - 12*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - 7*a^2*z^4 + 
   16*a^4*z^4 - 6*a^6*z^4 - 17*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   13*a^4*z^6 + 5*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 30061] -> 4*a^2 - 4*a^4 + a^6 - a^8 + a^10 - 2*z^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   4*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 30062] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30063] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30064] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (14*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30065] -> 1 + a^(-8) - 2/a^6 + a^(-4) + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30066] -> -1 - a^(-8) + a^(-4) + 2/a^2 - z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30067] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 
   10*z^2 - (5*z^2)/a^6 + (5*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30068] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + 
   (4*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30069] -> -2/a^8 + 2/a^6 + a^(-4) + z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30070] -> a^(-14) - 4/a^12 + 2/a^10 + 2/a^8 - a^(-6) + 
   a^(-4) - z^2/a^14 - (4*z^2)/a^12 + (9*z^2)/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (7*z^4)/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 30071] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 
   10*z^2 - (7*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 14*z^4 - 
   (7*z^4)/a^2 + 17*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 
   12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 30072] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30073] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (25*z^2)/a^14 + (16*z^2)/a^12 + (17*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (19*z^4)/a^14 + (31*z^4)/a^12 + (27*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 30074] -> a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + 
   (5*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (14*z^4)/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30075] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (11*z^2)/a^14 + (3*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + (10*z^4)/a^12 + (19*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 30076] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^8 - (6*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30077] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (5*z^2)/a^4 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30078] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30079] -> 1 - a^(-8) + 4/a^6 - 4/a^4 + a^(-2) - a^2 + 
   a^4 - z^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 30080] -> 
  -1 + 4*a^2 - 4*a^4 + 5*a^6 - 4*a^8 + a^10 - 3*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   15*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 8*a^4*z^4 + 
   19*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30081] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30082] -> 
  -2 + a^(-6) + a^2 + a^4 - 5*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 30083] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (9*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (12*z^4)/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30084] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (11*z^4)/a^8 - z^4/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (4*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 30085] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30086] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30087] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30088] -> 3 - 2/a^6 + 8/a^4 - 9/a^2 + a^2 + z^2 - 
   (5*z^2)/a^6 + (26*z^2)/a^4 - (31*z^2)/a^2 + 6*a^2*z^2 - 6*z^4 - 
   (4*z^4)/a^6 + (31*z^4)/a^4 - (45*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 30089] -> 2 - a^(-8) + 3/a^6 - 4/a^2 + a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - 
   z^4/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (19*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 30090] -> 
  -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 5*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30091] -> 
  -2/a^4 + 4/a^2 - 2*a^2 + a^4 - 4*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 
   7*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 12*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30092] -> -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 30093] -> 
  -a^2 + 2*a^4 + 4*a^6 - 5*a^8 + a^10 - 3*a^2*z^2 + 3*a^4*z^2 + 13*a^6*z^2 - 
   4*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 17*a^6*z^4 + 
   3*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 11*a^6*z^6 + 
   5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 30094] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30095] -> 
  1 + 3/a^4 - 5/a^2 + 3*a^2 - a^4 - z^2 + (7*z^2)/a^4 - (16*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + (9*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30096] -> 1 + a^(-6) - 2/a^2 + a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 30097] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 + 
   (4*z^2)/a^10 - (17*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (3*z^4)/a^10 - (21*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30098] -> 
  3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 5*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30099] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (7*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30100] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 30101] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 
   2*a^10 - z^2 + 10*a^2*z^2 - 21*a^4*z^2 + 25*a^6*z^2 - 14*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 + 13*a^2*z^4 - 31*a^4*z^4 + 27*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 19*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30102] -> 1 + 2/a^4 - 2/a^2 - a^2 + a^4 - a^6 + a^8 + 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 + 9*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 + 
   2*z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 30103] -> 
  2*a^4 - 2*a^6 + a^8 + 3*a^10 - 4*a^12 + a^14 - a^2*z^2 + 6*a^4*z^2 + 
   3*a^6*z^2 - 10*a^8*z^2 + 14*a^10*z^2 - 5*a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 7*a^6*z^4 - 16*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 30104] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 7*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30105] -> 
  3*a^2 - 2*a^4 - a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - 
   7*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 14*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30106] -> 1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 + 
   2*z^2 - z^2/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30107] -> 
  2 - 2*a^2 + 2*a^6 - a^8 - z^2 - z^2/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 30108] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - z^2 + 6*a^2*z^2 - 9*a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 21*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30109] -> 
  3*a^4 - 2*a^6 - 5*z^2 + (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 30110] -> 
  a^2 + a^4 - a^6 - z^2 + z^2/a^6 - (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 30111] -> 
  2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30112] -> 
  2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - 4*z^2 + 10*a^2*z^2 + 2*a^4*z^2 - 
   18*a^6*z^2 + 8*a^8*z^2 - 8*z^4 + 16*a^2*z^4 + 4*a^4*z^4 - 22*a^6*z^4 + 
   5*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30113] -> 1 + a^2 - 3*a^6 + 2*a^8 + 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30114] -> 3*a^2 - a^4 - 2*a^6 + a^10 - 2*z^2 + 
   6*a^2*z^2 - a^4*z^2 - 6*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   4*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 30115] -> 1 + 2*a^2 - 3*a^4 + a^6 - a^8 + 
   a^10 + z^2 - z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 30116] -> 
  2*a^2 - a^4 - z^2 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 30117] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (11*z^4)/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30118] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30119] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   5*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (12*z^4)/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30120] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30121] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - z^2/a^14 + (5*z^2)/a^12 - (9*z^2)/a^10 + 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (10*z^4)/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30122] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - 
   (5*z^2)/a^10 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (3*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30123] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) - (11*z^2)/a^14 + (9*z^2)/a^12 + 
   (9*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (13*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 30124] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 - (8*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 + (3*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30125] -> -a^(-8) + 2/a^4 + z^2 - z^2/a^10 + z^2/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30126] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   z^2/a^16 - (4*z^2)/a^14 + (3*z^2)/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 30127] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 + z^2/a^10 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30128] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (5*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (9*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30129] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 2*z^2 + z^2/a^2 - a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 30130] -> 
  a^(-2) - a^4 + a^6 - 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + 5*a^2*z^4 - 
   3*a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 30131] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30132] -> -1 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30133] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 8*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (14*z^2)/a^2 + a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30134] -> 
  2/a^12 - 8/a^10 + 8/a^8 - 2/a^6 + a^(-4) + (3*z^2)/a^12 - (16*z^2)/a^10 + 
   (18*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30135] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2 + z^2/a^12 - (5*z^2)/a^10 + z^2/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + 
   (8*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 30136] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 2*z^4 + z^4/a^8 - (10*z^4)/a^6 + (12*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30137] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 14*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 30138] -> 
  1 + a^(-2) - 5*a^2 + 6*a^4 - 2*a^6 + z^2 + z^2/a^2 - 12*a^2*z^2 + 
   12*a^4*z^2 - 3*a^6*z^2 + z^4/a^4 - z^4/a^2 - 9*a^2*z^4 + 9*a^4*z^4 - 
   2*a^6*z^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 30139] -> 
  1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 3*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - 
   (11*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - 
   (13*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (8*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30140] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 30141] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 9*z^2 - 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 8*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30142] -> 2 - 2/a^6 + 8/a^4 - 8/a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^6 + (17*z^2)/a^4 - (18*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   11*z^4 - z^4/a^6 + (13*z^4)/a^4 - (18*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (10*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   (2*z^8)/a^2 - a^2*z^8, Knot[15, Alternating, 30143] -> 
  1 - a^(-8) + 3/a^6 - 3/a^2 + a^4 - 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^2 + 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 30144] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 
   10*z^2 - z^2/a^4 + z^2/a^2 - 18*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 20*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 4*z^6 + 
   (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 30145] -> 1 - 3*a^2 + 8*a^4 - 7*a^6 + 
   2*a^8 + z^2 - z^2/a^2 - 4*a^2*z^2 + 16*a^4*z^2 - 15*a^6*z^2 + 4*a^8*z^2 + 
   3*z^4 - z^4/a^2 - a^2*z^4 + 10*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30146] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30147] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30148] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30149] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + 
   (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30150] -> -1 - 2/a^4 + 5/a^2 - 3*a^2 + 2*a^4 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 11*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + 
   (7*z^4)/a^2 - 13*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30151] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   5*z^4 + (2*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 30152] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   12*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   13*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30153] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - 3*z^2 + 
   6*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - z^4/a^2 + 7*a^2*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30154] -> 
  a^4 + 3*a^8 - 4*a^10 + a^12 - 2*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 + 
   6*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 
   8*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 30155] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30156] -> 
  -6 + 4/a^2 + 4*a^2 - 2*a^4 + a^8 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 30157] -> 
  1 + 2/a^4 - 2/a^2 - a^4 + a^8 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^4 + 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 30158] -> 2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*z^2 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30159] -> 3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + z^4/a^6 - 
   (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30160] -> 1 - a^2 + 2*a^4 - a^6 + z^2/a^6 - z^2/a^4 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30161] -> 2 - a^2 + a^4 - 3*a^6 + 2*a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30162] -> 2 - 2*a^4 + a^6 - a^8 + a^10 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + a^2*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 30163] -> 4*a^4 - 4*a^6 + a^8 + 2*z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + a^2*z^4 - 9*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30164] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^8 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30165] -> 
  2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30166] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   5*z^2 + z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30167] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30168] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^8 - 
   z^2/a^4 + z^2/a^2 + z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30169] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 30170] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   5*z^2 + (5*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 30171] -> 
  -a^(-14) + 3/a^12 - 6/a^10 + 4/a^8 + a^(-6) - (4*z^2)/a^14 + 
   (13*z^2)/a^12 - (18*z^2)/a^10 + (13*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^14 + (23*z^4)/a^12 - (28*z^4)/a^10 + (11*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 30172] -> 
  -a^(-14) + 3/a^12 - 5/a^10 + 2/a^8 + 2/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (8*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (6*z^4)/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30173] -> 
  -1 - a^(-6) + 3/a^2 + 4*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 
   14*z^4 - (5*z^4)/a^6 + (26*z^4)/a^4 - (37*z^4)/a^2 + 14*z^6 - 
   (4*z^6)/a^6 + (27*z^6)/a^4 - (46*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 30174] -> 12 - a^(-4) - 4/a^2 - 6*a^2 + 
   47*z^2 + z^2/a^4 - (21*z^2)/a^2 - 20*a^2*z^2 + 81*z^4 + (5*z^4)/a^4 - 
   (39*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - (33*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 30175] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (11*z^4)/a^8 - (10*z^4)/a^6 - 
   (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - (18*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 30176] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (14*z^4)/a^10 + 
   (11*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (18*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30177] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30178] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (6*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (18*z^4)/a^10 + (22*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (23*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 30179] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) - z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (10*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (9*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30180] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 14*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 
   27*z^6 + (3*z^6)/a^4 - (17*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + z^8/a^4 - 
   (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 30181] -> -3 + 8*a^2 - 4*a^4 - 2*z^2 + 8*a^2*z^2 - 
   2*a^4*z^2 + 14*z^4 - (2*z^4)/a^2 - 20*a^2*z^4 + 10*a^4*z^4 + 21*z^6 - 
   (3*z^6)/a^2 - 39*a^2*z^6 + 13*a^4*z^6 + 11*z^8 - z^8/a^2 - 26*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 30182] -> 2*a^2 - 2*a^6 + a^8 - 4*z^2 + 9*a^2*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 2*a^4*z^4 - 14*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 30183] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 
   (2*z^2)/a^10 + (13*z^2)/a^8 - (16*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (22*z^4)/a^8 - (31*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 30184] -> 2 + a^(-4) - 2/a^2 - z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (14*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (18*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 30185] -> 
  4 - 2/a^2 - a^4 + 2*z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 30186] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (4*z^4)/a^4 - (11*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 30187] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   3*z^2 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 30188] -> -2/a^6 + 3/a^4 + (4*z^2)/a^8 - 
   (13*z^2)/a^6 + (16*z^2)/a^4 - (4*z^2)/a^2 + (8*z^4)/a^8 - (32*z^4)/a^6 + 
   (37*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - (31*z^6)/a^6 + (43*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 30189] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - (7*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + (20*z^6)/a^4 - 
   (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 30190] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   (20*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30191] -> 3 - a^(-2) - a^2 + 6*z^2 - (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^4 + z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - z^6/a^4 + (4*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30192] -> -1 + a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30193] -> -3 + 2/a^2 + 2*a^2 - z^2/a^2 + a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30194] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + 17*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30195] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30196] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   14*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 30197] -> 2 - a^(-4) + a^(-2) - a^2 - 
   2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30198] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30199] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - z^2 + 
   8*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   13*a^2*z^4 - 23*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30200] -> -7 + 4/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   27*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 
   33*z^4 - (5*z^4)/a^4 + (22*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 30201] -> 2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30202] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*a^2*z^2 + 
   17*a^4*z^2 - 23*a^6*z^2 + 9*a^8*z^2 - 9*a^2*z^4 + 33*a^4*z^4 - 
   42*a^6*z^4 + 12*a^8*z^4 - 12*a^2*z^6 + 39*a^4*z^6 - 36*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 30203] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 + a^2*z^2 + 6*a^4*z^2 - 12*a^6*z^2 + 
   5*a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 6*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 
   3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30204] -> 5*a^2 - 8*a^4 + 6*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 12*a^2*z^2 - 23*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 30205] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30206] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (15*z^4)/a^6 + (4*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30207] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (8*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - (13*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30208] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 5*a^2*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   4*z^4 - 10*a^2*z^4 + a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 30209] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 - 
   5*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30210] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30211] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (17*z^4)/a^6 + 
   (11*z^4)/a^4 + (3*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30212] -> 
  a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30213] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (12*z^4)/a^12 - (8*z^4)/a^10 - (19*z^4)/a^8 + 
   (11*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30214] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^12 - (11*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30215] -> 1 - 4*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 
   4*z^4 - 16*a^2*z^4 + 24*a^4*z^4 - 8*a^6*z^4 + 8*z^6 - 25*a^2*z^6 + 
   26*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + 
   z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 30216] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 33*z^2 + (6*z^2)/a^4 - (25*z^2)/a^2 - 
   12*a^2*z^2 + 51*z^4 + (13*z^4)/a^4 - (45*z^4)/a^2 - 13*a^2*z^4 + 38*z^6 + 
   (13*z^6)/a^4 - (45*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 30217] -> 1 + 2*z^2 - 8*a^2*z^2 + 10*a^4*z^2 - 
   4*a^6*z^2 + 5*z^4 - 20*a^2*z^4 + 25*a^4*z^4 - 8*a^6*z^4 + 8*z^6 - 
   26*a^2*z^6 + 26*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 12*a^4*z^8 - 
   a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 30218] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 15*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30219] -> 
  1 - a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + z^4 - 2*a^2*z^4 - 
   2*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 4*a^2*z^6 - 4*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 30220] -> -1 + a^(-2) + a^2 - 6*z^2 + 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30221] -> 2*a^2 - a^4 - z^2 - z^2/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + (2*z^4)/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30222] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30223] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30224] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30225] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   9*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30226] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + 5*a^2*z^2 - 13*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 6*a^2*z^4 - 18*a^4*z^4 + 12*a^6*z^4 + 
   5*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 30227] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   4*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 
   15*a^4*z^4 + 6*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 
   a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30228] -> 
  1 + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30229] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30230] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (5*z^4)/a^12 - 
   (3*z^4)/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30231] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 + 11*z^2 - 
   37*a^2*z^2 + 43*a^4*z^2 - 13*a^6*z^2 + 17*z^4 - 58*a^2*z^4 + 56*a^4*z^4 - 
   13*a^6*z^4 + 14*z^6 - 51*a^2*z^6 + 39*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 30232] -> 3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 
   11*a^4*z^2 - 25*a^6*z^2 + 30*a^8*z^2 - 10*a^10*z^2 + 15*a^4*z^4 - 
   47*a^6*z^4 + 48*a^8*z^4 - 12*a^10*z^4 + 13*a^4*z^6 - 46*a^6*z^6 + 
   37*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 26*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 30233] -> a^2 - a^4 + 2*a^6 - a^10 + 5*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 6*a^2*z^4 - 15*a^4*z^4 + 
   2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30234] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 - 
   2*a^4*z^2 + 9*z^4 + (6*z^4)/a^4 - (17*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30235] -> 
  -2 + 6*a^2 - 3*a^4 - 4*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30236] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 + 
   z^4 + (2*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 + (14*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30237] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30238] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^10 - z^4/a^8 + 
   (10*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30239] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30240] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + z^8/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30241] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30242] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30243] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   15*z^2 + z^2/a^6 - (9*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 - 13*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30244] -> 
  -6 - 4/a^4 + 9/a^2 + 3*a^2 - a^4 - 16*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (22*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (25*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30245] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30246] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (18*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 30247] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 
   2*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30248] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30249] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - (2*z^2)/a^8 + z^2/a^4 + 
   z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (4*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^8 - z^8/a^6 - (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30250] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + z^8/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30251] -> 
  -1 + 3/a^4 - 5/a^2 + 7*a^2 - 3*a^4 - 2*z^2 + (7*z^2)/a^4 - (16*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30252] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 6*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (8*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30253] -> 2 + a^(-6) - 3/a^2 + 2*a^2 - a^4 + 4*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30254] -> 1 + a^(-10) - a^(-8) - 2/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^10 + z^4/a^8 - z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30255] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30256] -> 1 + a^(-6) - a^(-4) - a^4 + a^6 + 
   z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 30257] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 30258] -> -4 - a^(-6) - a^(-4) + 6/a^2 + 
   a^2 - 13*z^2 - z^2/a^6 - z^2/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 30259] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   21*a^2*z^2 - 7*a^4*z^2 - 10*z^4 + (4*z^4)/a^4 - (12*z^4)/a^2 + 
   25*a^2*z^4 - 9*a^4*z^4 + 2*z^6 + z^6/a^4 - (9*z^6)/a^2 + 16*a^2*z^6 - 
   5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30260] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 30261] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30262] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 30263] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30264] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^8 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 30265] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + z^2 + (5*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^8 - 
   z^4/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   z^6/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30266] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 10*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 
   12*z^6 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30267] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 30268] -> 1 - a^(-12) + 2/a^10 - 2/a^8 + 
   3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (11*z^4)/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30269] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   12*a^2*z^4 + 5*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 9*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30270] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 8*z^2 + 
   z^2/a^2 + 9*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 + 17*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30271] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   a^4*z^2 + 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^4*z^4 + 
   8*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 30272] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (9*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (13*z^4)/a^10 - (16*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30273] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 30274] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (3*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30275] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 - 4*z^2 + 9*a^2*z^2 + 3*a^4*z^2 - 16*a^6*z^2 + 
   7*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30276] -> 
  1 + a^2 - a^4 - a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 6*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30277] -> 
  1 + a^(-2) - 2*a^2 + a^6 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 30278] -> 2 - 3*a^2 + 5*a^4 - 5*a^6 + 
   2*a^8 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 
   4*a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30279] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + a^8*z^2 + 
   z^4 + (2*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 30280] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 30281] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   z^4/a^6 + (9*z^4)/a^4 - (9*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30282] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30283] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - 
   (12*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30284] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   12*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30285] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + z^2/a^2 + 
   7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30286] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 - z^2/a^6 + (9*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 18*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 11*z^6 + 
   (2*z^6)/a^4 + z^6/a^2 + a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30287] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 - 
   z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30288] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   4*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30289] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + (23*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 - (4*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30290] -> 7 - 3/a^2 - 3*a^2 + 21*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 30291] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 11*z^2 + z^2/a^6 - (9*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 12*z^4 + z^4/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 30292] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 
   3/a^2 - 3*z^2 + z^2/a^10 - (6*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 30293] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 30294] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 30295] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 7*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 30296] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30297] -> 1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (5*z^4)/a^6 + (13*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30298] -> 
  4*a^6 - a^8 - 4*a^10 + 2*a^12 - 2*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 - 
   12*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 16*a^6*z^4 + 2*a^8*z^4 - 
   15*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 + 5*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 30299] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - a^2*z^2 + 3*a^4*z^2 + 10*a^6*z^2 - 
   11*a^8*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 9*a^6*z^4 - 7*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 30300] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + 10*a^6*z^2 - 3*a^8*z^2 - 8*a^10*z^2 + 
   4*a^12*z^2 - 4*a^4*z^4 + 13*a^6*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 30301] -> 3*a^4 - a^6 - 2*a^8 + a^10 - a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 30302] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 8*a^2*z^4 - 8*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 30303] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 3*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30304] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 3*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30305] -> a^2 + a^4 - a^6 - 5*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 30306] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - 
   a^4 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 12*z^4 + z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 30307] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 30308] -> 
  -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30309] -> 3 - a^(-4) - a^4 + z^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30310] -> -5 - a^(-6) - 2/a^4 + 8/a^2 + a^2 - 15*z^2 - 
   (3*z^2)/a^6 - z^2/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - (6*z^4)/a^6 + 
   (7*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30311] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   8*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   4*z^6 + z^6/a^4 - (7*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30312] -> -4 - 3/a^6 + 3/a^4 + 4/a^2 + a^2 - 12*z^2 - 
   (6*z^2)/a^6 + (10*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30313] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 8*z^2 - 
   (6*z^2)/a^6 + (9*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 11*z^4 - (7*z^4)/a^6 + 
   (14*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30314] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30315] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + z^2/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30316] -> -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 - 
   z^2/a^8 + (11*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30317] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + z^4/a^10 - (13*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30318] -> 
  -4 - a^(-8) + a^(-6) - 2/a^4 + 6/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 30319] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 4*z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (21*z^2)/a^4 + z^2/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (30*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30320] -> 2 - a^(-2) + a^2 - a^4 + 10*z^2 - 
   (3*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 25*z^4 - (5*z^4)/a^2 - 32*a^2*z^4 + 
   12*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 30321] -> 3 - a^(-2) - a^2 + 5*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 30322] -> 
  -1 + a^(-8) - 7/a^6 + 9/a^4 - a^(-2) - 6*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + 
   (30*z^2)/a^4 + z^2/a^2 - 9*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (44*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 30323] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (17*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 30324] -> -1 - 2*a^2 + 10*a^4 - 6*a^6 - 16*a^2*z^2 + 
   42*a^4*z^2 - 18*a^6*z^2 + 4*z^4 - 34*a^2*z^4 + 74*a^4*z^4 - 26*a^6*z^4 + 
   4*z^6 - 31*a^2*z^6 + 68*a^4*z^6 - 19*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 30325] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + 
   z^2/a^2 + 5*a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   7*a^2*z^4 + 24*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30326] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 5*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 - 
   (2*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (3*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 30327] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 30328] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (2*z^4)/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30329] -> 3 - a^(-4) - a^4 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30330] -> -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (6*z^4)/a^10 - (10*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30331] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 30332] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   2*z^2 + z^2/a^10 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - 
   z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30333] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 - z^2/a^4 + (15*z^2)/a^2 - 8*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (4*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30334] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^6 - (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - 
   z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 30335] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 13*z^2 + z^2/a^6 - z^2/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 5*z^4 + z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30336] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 30337] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30338] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30339] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30340] -> 
  5 - a^(-2) - 4*a^2 + a^6 + 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30341] -> 1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + z^2 - 
   z^2/a^2 + 5*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30342] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30343] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   12*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 30344] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 4*a^2*z^2 + 9*a^4*z^2 - 17*a^6*z^2 + 
   7*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 30345] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 22*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 30346] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30347] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 30348] -> 
  -1 + 2*a^2 + a^4 - a^8 - z^2 - z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30349] -> 
  5 - 2/a^2 - 2*a^2 + 20*z^2 + (4*z^2)/a^4 - (15*z^2)/a^2 - 7*a^2*z^2 + 
   41*z^4 + (8*z^4)/a^4 - (33*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + (5*z^6)/a^4 - 
   (31*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 30350] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 9*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 
   10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 30351] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 
   10*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 30352] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (18*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30353] -> 
  4 + a^(-6) - 5/a^4 + 4/a^2 - 3*a^2 + 17*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 30354] -> 6 - 3/a^2 - a^2 - a^4 + 13*z^2 + z^2/a^6 - 
   z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 30355] -> 2*a^4 + a^6 - 2*a^8 - a^10 + a^12 - 
   2*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 30356] -> a^2 + 3*a^6 - 5*a^8 + 2*a^10 - 
   z^2 + 2*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + a^12*z^2 - 
   z^4 + a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 30357] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - z^2/a^2 - 8*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 30358] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 30359] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (11*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 30360] -> 3 - 4*a^2 + 2*a^4 + 9*z^2 - 
   (2*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 20*z^4 - (5*z^4)/a^2 - 26*a^2*z^4 + 
   8*a^4*z^4 + 26*z^6 - (8*z^6)/a^2 - 26*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - 
   (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 30361] -> 6*a^4 - 8*a^6 + 3*a^8 - 5*a^2*z^2 + 
   24*a^4*z^2 - 29*a^6*z^2 + 10*a^8*z^2 - 13*a^2*z^4 + 44*a^4*z^4 - 
   47*a^6*z^4 + 12*a^8*z^4 - 13*a^2*z^6 + 45*a^4*z^6 - 37*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 30362] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^6 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 30363] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30364] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 30365] -> 
  a^(-8) - 2/a^6 + 2/a^2 - z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (16*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30366] -> 1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30367] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (7*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (12*z^4)/a^12 - (9*z^4)/a^10 - (14*z^4)/a^8 + 
   (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30368] -> -3/a^8 + 4/a^6 - z^2/a^14 + (3*z^2)/a^12 + 
   z^2/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - 
   (10*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30369] -> 
  1 + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30370] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 10*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + (6*z^4)/a^4 - 
   (17*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 30371] -> 1 + a^(-8) - 2/a^6 + a^(-4) - 
   z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 - 3*z^4 + (5*z^4)/a^8 - 
   (16*z^4)/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30372] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30373] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 5*z^2 - 
   21*a^2*z^2 + 30*a^4*z^2 - 11*a^6*z^2 + 12*z^4 - 42*a^2*z^4 + 49*a^4*z^4 - 
   13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 30374] -> a^2 + a^4 - a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 30375] -> 4*a^2 - 5*a^4 + 2*a^6 + z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 30376] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 30377] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30378] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (3*z^4)/a^10 - 
   (11*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30379] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 30380] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30381] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 30382] -> 
  1 - 4/a^8 + 6/a^6 - 2/a^2 + 2*z^2 - (2*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30383] -> 1 - a^(-10) - a^(-8) + 4/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30384] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30385] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 - 
   z^2/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (7*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30386] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30387] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30388] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30389] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   8*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (8*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30390] -> -2*a^2 + 7*a^4 - 3*a^6 - 2*a^8 + a^10 - 
   z^2 - 2*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 - 
   6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30391] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (9*z^2)/a^10 + (9*z^2)/a^8 + 
   (7*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (13*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30392] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - 
   (2*z^2)/a^14 + (10*z^2)/a^12 - (13*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (15*z^4)/a^10 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30393] -> 1 + 3*z^2 + z^2/a^8 - z^2/a^6 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30394] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (5*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 - 
   (10*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30395] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 3*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30396] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^10 + (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (6*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 30397] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (13*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 30398] -> -3 + 6*a^2 - 2*a^6 - 9*z^2 + 
   z^2/a^2 + 14*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   14*a^2*z^4 + 13*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30399] -> 
  -a^(-8) + 2/a^4 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30400] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 10*z^2 + 
   z^2/a^6 - z^2/a^4 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30401] -> 
  a^(-6) - a^(-2) + a^4 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - 4*a^2*z^2 + 
   2*a^4*z^2 - z^4 - z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30402] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30403] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (10*z^2)/a^12 - (10*z^2)/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - 
   (11*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30404] -> -a^(-4) + 2/a^2 - z^2/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (8*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30405] -> 1 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30406] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30407] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + 
   a^6 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30408] -> 
  2*a^2 - a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30409] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 3*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (20*z^2)/a^4 - 5*z^4 + (2*z^4)/a^8 - (15*z^4)/a^6 + (21*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (12*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30410] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 15*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - 7*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 30411] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (12*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - 
   (25*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30412] -> -2 + 2/a^2 + a^4 - 6*z^2 + (3*z^2)/a^2 - 
   a^2*z^2 + a^6*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 30413] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30414] -> -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + 
   a^2 - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30415] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   (5*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^4 + (4*z^4)/a^12 - (13*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30416] -> 
  -6 + 4/a^2 + 2*a^2 + 2*a^4 - 2*a^6 + a^8 - 9*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 30417] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 3*z^2 - z^2/a^2 - a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 
   7*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 30418] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 30419] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 - 
   2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 30420] -> 
  1 - a^2 + 3*a^4 - 2*a^6 - a^8 + a^10 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 30421] -> -6 + 4/a^2 + 3*a^2 - a^6 + a^8 - 
   12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30422] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30423] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 3*z^2 + 
   8*a^2*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 13*a^2*z^4 + a^4*z^4 - 
   15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30424] -> 1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 + 
   2*z^2 - z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30425] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30426] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - z^2 + 
   (4*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (17*z^4)/a^6 + (7*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (12*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30427] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30428] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - 17*a^2*z^2 + 24*a^4*z^2 - 9*a^6*z^2 + 
   12*z^4 - 40*a^2*z^4 + 45*a^4*z^4 - 12*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 
   37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 30429] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 8*a^2*z^2 + 9*a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + 4*z^4 - 11*a^2*z^4 + 6*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 30430] -> 1 - a^2 + 2*a^4 - a^6 - 3*a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30431] -> 
  -2 + 6*a^2 - 3*a^4 - 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 14*a^2*z^2 - 
   6*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30432] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30433] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 30434] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + 
   (4*z^2)/a^12 + z^2/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 30435] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 30436] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30437] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30438] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (13*z^2)/a^14 + (7*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (14*z^4)/a^12 + (18*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 30439] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 - (5*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (6*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30440] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + z^2/a^12 + (3*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (2*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30441] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30442] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 + z^2/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 
   12*z^6 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30443] -> -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 
   6/a^10 + (7*z^2)/a^16 - (25*z^2)/a^14 + (5*z^2)/a^12 + (24*z^2)/a^10 + 
   z^2/a^8 - (20*z^4)/a^14 + (19*z^4)/a^12 + (35*z^4)/a^10 + (3*z^4)/a^8 - 
   z^6/a^16 - (3*z^6)/a^14 + (18*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 30444] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 7*z^2 + 
   (3*z^2)/a^8 - (21*z^2)/a^6 + (28*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 + 
   (2*z^4)/a^8 - (18*z^4)/a^6 + (29*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30445] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - z^2/a^14 - (3*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30446] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^10 + (10*z^4)/a^8 - (11*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30447] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 + 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 30448] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - 
   3*z^2 + z^2/a^2 - 3*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 18*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30449] -> 
  -1 + a^(-8) - 7/a^6 + 9/a^4 - a^(-2) - 5*z^2 + (2*z^2)/a^8 - (14*z^2)/a^6 + 
   (20*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (18*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30450] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 13*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + 17*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (8*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 30451] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (7*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (16*z^4)/a^10 + (18*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (19*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30452] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30453] -> -a^(-8) + 3/a^6 - a^(-4) - a^(-2) + a^4 - 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30454] -> 4 - 6*a^2 + 3*a^4 + 6*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 17*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + (8*z^4)/a^2 - 
   19*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30455] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 30456] -> 
  1 - 2*a^2 + 6*a^4 - 6*a^6 + 2*a^8 + z^2 - z^2/a^2 - 2*a^2*z^2 + 
   10*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 2*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30457] -> a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (9*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (19*z^4)/a^8 - (22*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (13*z^6)/a^8 - (23*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30458] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (7*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30459] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 30460] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30461] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + 5*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - 
   (9*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - (10*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 30462] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30463] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (17*z^2)/a^8 + z^2/a^4 + (3*z^4)/a^12 - 
   (14*z^4)/a^10 + (17*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (9*z^6)/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30464] -> 4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 2*a^10 - 
   2*z^2 + 10*a^2*z^2 - 19*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 30465] -> 
  a^4 + 5*a^6 - 8*a^8 + 3*a^10 - a^2*z^2 + 2*a^4*z^2 + 13*a^6*z^2 - 
   16*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 - 
   13*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 30466] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30467] -> -6 + 4/a^2 + 4*a^2 - 3*a^4 + 2*a^6 - 
   26*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 
   33*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 30468] -> -6 + 4/a^2 + 4*a^2 - 2*a^4 + 
   a^8 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   4*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30469] -> 4*a^2 - 4*a^4 + a^8 - 3*z^2 + 12*a^2*z^2 - 
   12*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 16*a^2*z^4 - 10*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30470] -> 5*a^2 - 7*a^4 + 4*a^6 - 2*a^8 + a^10 - 
   2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 23*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 30471] -> 
  2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 3*z^2 - z^2/a^2 - 3*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30472] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 30473] -> 
  1 - a^2 + a^4 + a^6 - a^8 - a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30474] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30475] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30476] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 - 
   2*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30477] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30478] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 30479] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*z^2 + z^2/a^8 - (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 30480] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   7*z^2 + (3*z^2)/a^4 + 4*a^2*z^2 - 14*z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - (3*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30481] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^10 + 
   (4*z^4)/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30482] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 30483] -> 3 - a^(-2) - a^2 + 6*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 - z^6/a^4 + (4*z^6)/a^2 - 9*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30484] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 30485] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 + a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   5*z^4 + z^4/a^2 + 2*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30486] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 10*z^2 - (6*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 14*z^4 + (2*z^4)/a^4 - (11*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   11*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30487] -> -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 + 9*a^4*z^4 - 
   6*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30488] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   2*z^2 + z^2/a^4 + 5*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30489] -> 
  -1 + a^(-8) - 3/a^6 + 5/a^4 - 3/a^2 + 2*a^2 - 5*z^2 - (4*z^2)/a^6 + 
   (10*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (10*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 30490] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30491] -> 2 - 4*a^2 + 7*a^4 - 6*a^6 + 2*a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 13*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30492] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   3*z^2 - z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + z^2/a^2 + 3*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30493] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 + 
   2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 30494] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^8 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30495] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (3*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^4)/a^12 - 
   z^4/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30496] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30497] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^10 + (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30498] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   4*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30499] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 17*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30500] -> -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 
   11*a^2*z^2 - 2*a^6*z^2 - 6*z^4 + z^4/a^2 + 10*a^2*z^4 + 6*a^4*z^4 - 
   4*a^6*z^4 - 5*z^6 + z^6/a^2 + 6*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30501] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30502] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 - 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 30503] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^4 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 30504] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 30505] -> 2*a^2 - a^4 - z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 30506] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 30507] -> 
  3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30508] -> 
  2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 - 
   a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30509] -> 
  2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30510] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (12*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30511] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + 
   z^2 - z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (17*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30512] -> 1 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 30513] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + (2*z^2)/a^4 - (7*z^2)/a^2 + 12*a^2*z^2 - 
   6*a^4*z^2 - z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30514] -> 1 - z^2 + 2*a^4*z^2 - a^8*z^2 - z^4 + 
   z^4/a^2 - a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30515] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30516] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 30517] -> 2*a^2 - a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 30518] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^8 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30519] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 16*z^2 + (6*z^2)/a^2 + 9*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 - 23*z^4 + (9*z^4)/a^2 + 6*a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30520] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - (11*z^2)/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (12*z^4)/a^10 - 
   (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30521] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4/a^6 + (5*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30522] -> 
  3 - 11*a^2 + 16*a^4 - 7*a^6 + 14*z^2 - 49*a^2*z^2 + 59*a^4*z^2 - 
   19*a^6*z^2 + 24*z^4 - 80*a^2*z^4 + 79*a^4*z^4 - 18*a^6*z^4 + 19*z^6 - 
   69*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 30523] -> -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 11*z^2 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 - 17*z^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 30524] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   4*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 30525] -> 1 + 2*z^2 - 6*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - 19*a^2*z^4 + 21*a^4*z^4 - 7*a^6*z^4 + 
   8*z^6 - 26*a^2*z^6 + 25*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 
   12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 30526] -> -6 + 2/a^2 + 6*a^2 + a^4 - 2*a^6 - 19*z^2 + 
   (7*z^2)/a^2 + 11*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 24*z^4 + (9*z^4)/a^2 + 
   6*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 30527] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 
   17*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30528] -> 
  -3 + 8*a^2 - 4*a^4 - 5*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 + 21*a^2*z^2 - 
   8*a^4*z^2 - 7*z^4 + (9*z^4)/a^4 - (18*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 
   9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30529] -> -5 + a^(-6) - 4/a^4 + 6/a^2 + 5*a^2 - 
   2*a^4 - 14*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30530] -> -3 + a^(-2) + 4*a^2 - a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30531] -> 
  -4 - 4/a^4 + 8/a^2 + 2*a^2 - a^4 - 12*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30532] -> -1 - 2/a^6 + 3/a^4 + 2*a^2 - a^4 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   z^4/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30533] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - (8*z^2)/a^10 - 
   (8*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (14*z^4)/a^10 - (14*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30534] -> 
  -a^(-14) + 2/a^12 - 2/a^8 + a^(-4) + a^(-2) - z^2/a^14 + (7*z^2)/a^12 - 
   (3*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30535] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30536] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 10*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30537] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30538] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   17*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - 
   (4*z^4)/a^6 + (15*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30539] -> 
  -a^(-8) + 4/a^4 - 3/a^2 + a^2 - 4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30540] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 3*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30541] -> 1 - 2/a^10 + 3/a^8 + a^(-6) - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - 
   (17*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30542] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (5*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (7*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30543] -> 
  1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 30544] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + z^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 30545] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30546] -> a^2 - a^4 + 2*a^6 - a^10 + 
   5*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 + 8*a^2*z^4 - 
   20*a^4*z^4 + 8*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 30547] -> a^2 + a^8 - a^10 + z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30548] -> 
  a^(-10) - 3/a^8 + 4/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 30549] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (15*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30550] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 30551] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (10*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (13*z^4)/a^10 - (15*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30552] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 30553] -> 3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + a^2*z^2 + 
   4*a^4*z^2 - 10*a^6*z^2 + 17*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 2*a^4*z^4 - 
   11*a^6*z^4 + 18*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 8*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30554] -> 
  2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 5*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 + 
   6*a^8*z^2 - 4*a^10*z^2 + 6*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 13*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 30555] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 30556] -> 
  -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 8*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 30557] -> -1 + a^(-2) + a^2 - a^4 + 
   2*a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30558] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30559] -> 
  1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30560] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + 
   (7*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 30561] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 14*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 5*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30562] -> 
  a^2 + a^6 - a^8 - 2*z^2 + (2*z^2)/a^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 30563] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (3*z^2)/a^14 + (8*z^2)/a^12 - (7*z^2)/a^10 - 
   z^2/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (21*z^4)/a^12 - (20*z^4)/a^10 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (24*z^6)/a^10 - 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 30564] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (4*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30565] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30566] -> 
  -a^(-10) + a^(-8) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30567] -> -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 - z^4/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30568] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 + z^4/a^6 - (18*z^4)/a^4 - 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30569] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   (2*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30570] -> -4 - 3/a^6 + 3/a^4 + 4/a^2 + a^2 - 17*z^2 - 
   (6*z^2)/a^6 + (11*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 23*z^4 - 
   (4*z^4)/a^6 + (15*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30571] -> 
  -2 - a^(-8) - a^(-6) + 4/a^4 + a^2 - 5*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30572] -> -5 - 4/a^6 + 6/a^4 + 2/a^2 + 2*a^2 - 
   17*z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - 
   (4*z^4)/a^6 + (16*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30573] -> 
  -1 - 2/a^8 + 2/a^6 + 2/a^4 - a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30574] -> -4 - 3/a^6 + 3/a^4 + 4/a^2 + a^2 - 11*z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30575] -> -2 - a^(-8) - a^(-6) + 4/a^4 + a^2 - 4*z^2 - 
   z^2/a^8 - z^2/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^8 + (11*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 30576] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30577] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30578] -> -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30579] -> 
  -4 + 2/a^2 + 4*a^2 - 2*a^4 + 2*a^6 - a^8 - 12*z^2 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 30580] -> -a^(-14) + 3/a^12 - 4/a^10 + 
   2/a^8 - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - (11*z^2)/a^10 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - 
   (9*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 30581] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - 
   a^2 + a^4 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30582] -> 
  3*a^4 - 7*a^6 + 10*a^8 - 5*a^10 + 13*a^4*z^2 - 36*a^6*z^2 + 48*a^8*z^2 - 
   17*a^10*z^2 + 22*a^4*z^4 - 68*a^6*z^4 + 72*a^8*z^4 - 17*a^10*z^4 + 
   18*a^4*z^6 - 64*a^6*z^6 + 49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 30583] -> a^2 - a^4 + 4*a^8 - 3*a^10 + 
   5*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 15*a^8*z^2 - 7*a^10*z^2 + 8*a^2*z^4 - 
   17*a^4*z^4 - a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 
   7*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30584] -> 
  3*a^4 - 6*a^6 + 8*a^8 - 4*a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 11*a^6*z^2 + 
   22*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 12*a^6*z^4 + 
   23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 10*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30585] -> 
  a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + z^2 + a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30586] -> 
  2*a^2 - 4*a^4 + 4*a^6 + a^8 - 2*a^10 + 8*a^2*z^2 - 17*a^4*z^2 + 
   11*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 24*a^4*z^4 + 6*a^6*z^4 + 
   14*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 30587] -> 2*a^2 - 4*a^4 + 5*a^6 - a^8 - 
   a^10 + 2*z^2 + a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 - 2*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30588] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 9*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 30589] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30590] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30591] -> 3/a^10 - 7/a^8 + 3/a^6 + 2/a^4 - z^2/a^14 + 
   (6*z^2)/a^12 - z^2/a^10 - (14*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30592] -> a^(-10) - a^(-8) - 2/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 30593] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30594] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 10*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30595] -> -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 4*z^2 - 
   z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^8 + (11*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 30596] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + z^2 - z^2/a^4 - 
   z^2/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30597] -> 3 - a^(-4) - a^4 + 4*z^2 - z^2/a^6 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 30598] -> 
  -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 5*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 - 
   (2*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30599] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30600] -> 
  1 - a^(-12) + a^(-10) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30601] -> 1 - 2/a^10 + 2/a^8 + 2/a^6 - 2/a^4 + 3*z^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (8*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30602] -> 1 - a^(-12) + 3/a^8 - 2/a^6 + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + z^4 + 
   (3*z^4)/a^10 - z^4/a^8 - (8*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 30603] -> 2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 
   4*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30604] -> -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 + 
   a^(-2) - z^2/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30605] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 2*a^4 - a^6 - 
   8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 30606] -> 
  -3 + a^(-2) + 4*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 11*z^2 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   16*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 30607] -> -3 + a^(-2) + 4*a^2 - a^4 + 
   a^6 - a^8 - 4*z^2 + z^2/a^4 + 5*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 30608] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30609] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 30610] -> -6 - 2/a^6 + 3/a^4 + 3/a^2 + 
   3*a^2 - 19*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   25*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30611] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + z^4/a^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30612] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 2*z^2 - 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 + z^4/a^4 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30613] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 6*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 21*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30614] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30615] -> 3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 2*a^2*z^2 + 
   a^4*z^2 - 7*a^6*z^2 + 16*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   6*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 6*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 30616] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2 + a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 30617] -> 
  -1 + a^(-2) + 3*a^6 - 2*a^8 - 8*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30618] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   z^2/a^8 - (9*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30619] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30620] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - z^4/a^10 + (7*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30621] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30622] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^8 - 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30623] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30624] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 
   13*a^8*z^2 - 5*a^10*z^2 + 3*a^2*z^4 - 3*a^4*z^4 - 8*a^6*z^4 + 16*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 30625] -> 3 - 7*a^2 + 5*a^4 + 3*a^6 - 3*a^8 + 8*z^2 - 
   20*a^2*z^2 + 8*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 9*z^4 - 23*a^2*z^4 + 
   20*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 30626] -> -1 + a^(-2) - a^2 + 2*a^4 + 2*a^6 - 2*a^8 - 
   5*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 
   5*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 30627] -> -4 + 2/a^2 + 2*a^2 + 2*a^4 - 
   a^8 - 9*z^2 + (4*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 
   7*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30628] -> a^(-6) - 3/a^4 + 3/a^2 - a^2 + 2*a^4 - a^6 - 
   3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30629] -> 5 + 3/a^4 - 7/a^2 - a^2 + 3*a^4 - 2*a^6 + 
   7*z^2 + (6*z^2)/a^4 - (15*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 
   2*z^4 + (4*z^4)/a^4 - (12*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^4 - (5*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 30630] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30631] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   7*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (26*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30632] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (10*z^4)/a^6 + (13*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30633] -> 
  -a^(-8) + 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + (22*z^4)/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (23*z^6)/a^8 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 30634] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (8*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30635] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 8*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (19*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (5*z^4)/a^8 - (5*z^4)/a^6 - 
   (17*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (11*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30636] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30637] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30638] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30639] -> 
  2 + a^(-8) - 2/a^6 + a^(-2) - a^2 + 4*z^2 + z^2/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30640] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30641] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 
   5*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30642] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 2*z^2 + z^2/a^6 - (6*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 30643] -> 
  2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30644] -> 
  -a^(-10) + 2/a^8 - a^(-4) + a^2 - z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 30645] -> 6*a^4 - 8*a^6 + 3*a^8 - 4*z^2 + 6*a^2*z^2 + 
   13*a^4*z^2 - 24*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 7*a^4*z^4 - 
   28*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 17*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 30646] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 + 
   z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 
   4*z^4 - z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30647] -> 1 + a^2 - a^4 - a^6 + a^8 + 3*z^2 - 
   z^2/a^4 - 4*a^4*z^2 - a^6*z^2 + a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 30648] -> 1 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 18*a^2*z^4 + 
   7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30649] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   18*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30650] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 2*a^2*z^2 + 
   8*a^6*z^2 + 14*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   14*a^6*z^4 + 18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   11*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 30651] -> a^4 + 3*a^8 - 4*a^10 + a^12 - z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 + 7*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 + 
   4*a^4*z^4 + 6*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 30652] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30653] -> a^(-4) - a^(-2) + a^2 - z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30654] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30655] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   6*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30656] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 6*z^2 - 
   (5*z^2)/a^6 + (16*z^2)/a^4 - (11*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (7*z^4)/a^6 + (19*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (13*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30657] -> -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 30658] -> -4 + 2/a^8 - 8/a^6 + 5/a^4 + 6/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (21*z^2)/a^4 + (17*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + (37*z^4)/a^4 + (21*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (16*z^6)/a^6 + (32*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (13*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30659] -> 2 - a^(-6) - a^(-4) + 3/a^2 - 2*a^2 + 
   5*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + (8*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (10*z^4)/a^6 + (10*z^4)/a^4 + (11*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30660] -> 
  -2 + a^(-10) - 3/a^8 + 2/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 - 
   z^2/a^6 + (12*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (18*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 30661] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - 
   a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + (7*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 30662] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   17*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - 
   (4*z^4)/a^6 + (15*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30663] -> 
  a^(-12) - 4/a^10 + 2/a^8 + a^(-6) + 2/a^4 - a^(-2) + z^2/a^12 - 
   (6*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + (15*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30664] -> -a^(-14) + 2/a^12 - 3/a^10 + 2/a^8 + 
   a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (2*z^4)/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30665] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 
   3*z^2 - z^2/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30666] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 3/a^10 + a^(-6) + z^2/a^16 - (8*z^2)/a^14 + 
   z^2/a^12 + (11*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (8*z^4)/a^12 + (14*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 30667] -> -a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + a^(-2) + 
   a^2 - z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 30668] -> 
  2 + a^(-8) - 2/a^6 + a^(-2) - a^2 + 4*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30669] -> 2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   3*z^2 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 30670] -> 
  1 - a^(-8) + a^(-6) + 2/a^4 - 2/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 30671] -> 
  -3/a^8 + 4/a^6 - (6*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - 
   (4*z^4)/a^10 - (4*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 + z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30672] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 30673] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30674] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 30675] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30676] -> 
  -5 + 3/a^2 + 3*a^2 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   z^4 + z^4/a^6 - z^4/a^4 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 30677] -> -4 + 2/a^2 + 4*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + z^4/a^2 - 
   3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 30678] -> 
  9 - 4/a^2 - 4*a^2 + 24*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (8*z^2)/a^2 - 
   10*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 30679] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 + 
   z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 30680] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 30681] -> 
  a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + z^2/a^12 - (7*z^2)/a^10 + 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - (7*z^4)/a^10 + 
   (3*z^4)/a^8 + (20*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30682] -> 3*a^4 - 2*a^6 - z^2/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - a^6*z^4 + a^8*z^4 + 
   2*z^6 + a^2*z^6 - 3*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 30683] -> 7*a^8 - 8*a^10 + 2*a^12 - 
   a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 + 17*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 17*a^6*z^4 + 18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 14*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 30684] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (10*z^4)/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 30685] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + 
   (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (21*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 30686] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 
   a^2 + 6*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30687] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30688] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 4*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 30689] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 30690] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 4*a^2*z^2 + a^6*z^2 - 
   6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 30691] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 8*a^2*z^2 - 18*a^4*z^2 + 17*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 24*a^4*z^4 + 19*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30692] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 8*z^2 - 
   (7*z^2)/a^6 + (20*z^2)/a^4 - (13*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (9*z^4)/a^6 + (24*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30693] -> -a^(-6) + 4/a^4 - 3/a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 30694] -> 
  2 + a^(-6) - 3/a^2 + 2*a^2 - a^4 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30695] -> a^(-6) - 2/a^2 + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 30696] -> 
  1 + a^(-10) - 2/a^8 + a^(-6) + 3*z^2 + (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 - (9*z^2)/a^4 + z^4 - z^4/a^10 - (8*z^4)/a^8 + (13*z^4)/a^6 - 
   (12*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30697] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 - 
   z^4/a^10 - (5*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30698] -> 
  1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 30699] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 13*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 30700] -> 
  a^2 - 2*a^4 + 5*a^6 - 4*a^8 + 2*a^10 - a^12 + 6*a^2*z^2 - 15*a^4*z^2 + 
   24*a^6*z^2 - 15*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 26*a^4*z^4 + 
   30*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 18*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30701] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 24*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 32*z^4 - 
   (3*z^4)/a^4 + (19*z^4)/a^2 + 22*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 20*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 30702] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30703] -> -3 - a^(-4) + 4/a^2 + 2*a^2 - 3*a^4 + 
   2*a^6 - 13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 30704] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 18*a^6*z^2 - 
   17*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 14*a^4*z^4 + 
   24*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30705] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + 
   (7*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (5*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30706] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   18*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 25*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 + z^4/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (5*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30707] -> 
  1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30708] -> 3 + 2/a^4 - 6/a^2 + 6*a^2 - 4*a^4 + z^2 + 
   (5*z^2)/a^4 - (13*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 
   (6*z^4)/a^4 - (13*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30709] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 10*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 30710] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30711] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - z^2 + 
   a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30712] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + z^2/a^16 - (15*z^2)/a^14 + 
   (12*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - 
   (10*z^4)/a^14 + (23*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 30713] -> 
  a^(-16) - 3/a^14 + 2/a^10 + a^(-6) - (8*z^2)/a^14 + (6*z^2)/a^12 + 
   (7*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (11*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 30714] -> -2 + 2/a^8 - 4/a^6 - a^(-4) + 6/a^2 - 
   5*z^2 + (7*z^2)/a^8 - (12*z^2)/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   (9*z^4)/a^8 - (19*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30715] -> 2 + a^(-8) - a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   5*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30716] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (7*z^4)/a^4 - (15*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30717] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 8*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 13*z^4 - (6*z^4)/a^6 + 
   (11*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30718] -> 
  4 - 2/a^2 + 2*a^2 - 5*a^4 + 2*a^6 + 8*z^2 - (5*z^2)/a^2 + 9*a^2*z^2 - 
   16*a^4*z^2 + 5*a^6*z^2 + 11*z^4 - (6*z^4)/a^2 + 14*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30719] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   7*z^2 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   9*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 30720] -> -a^(-18) + 5/a^16 - 8/a^14 + 
   2/a^12 + a^(-10) + 2/a^8 + (5*z^2)/a^16 - (21*z^2)/a^14 + (12*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (15*z^4)/a^14 + (23*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (17*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 30721] -> -2/a^12 + a^(-10) + a^(-8) + 
   a^(-6) - (4*z^2)/a^14 + (7*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (6*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 30722] -> 2 - a^(-4) + 3*a^2 - 4*a^4 + 
   a^6 + 6*z^2 - (2*z^2)/a^4 + 7*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - 
   (2*z^4)/a^4 + 7*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 
   z^6/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 30723] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 6*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30724] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + (10*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (3*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30725] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30726] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (16*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (20*z^4)/a^8 - (26*z^4)/a^6 + (5*z^4)/a^2 - z^6/a^10 + 
   (13*z^6)/a^8 - (24*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30727] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30728] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30729] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (24*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (21*z^4)/a^6 - (30*z^4)/a^4 + (20*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30730] -> 
  3 - a^(-2) - a^2 + 6*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 30731] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30732] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (11*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30733] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (23*z^2)/a^4 + (23*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (29*z^4)/a^4 + (29*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30734] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30735] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   20*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (26*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30736] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30737] -> 2*a^2 - 7*a^4 + 13*a^6 - 8*a^8 + a^10 + 
   7*a^2*z^2 - 22*a^4*z^2 + 30*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 
   27*a^4*z^4 + 22*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 30738] -> 1 - 3*a^2 + 5*a^4 - 2*a^6 + a^8 - a^10 + 
   3*z^2 - 8*a^2*z^2 + 9*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 
   a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30739] -> -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^8 + 
   z^2/a^6 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30740] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + 
   a^2 + a^4 - 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 30741] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 16*a^2*z^2 - 16*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 21*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30742] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 30743] -> 2/a^4 - 2/a^2 + a^4 - 4*z^2 - 
   z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 30744] -> 
  1 - a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 13*a^2*z^4 - 22*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30745] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 30746] -> 
  a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 + 8*a^6*z^2 - 
   7*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 6*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 30747] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 18*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   23*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (31*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30748] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30749] -> -5 - a^(-4) + 5/a^2 + 3*a^2 - 
   3*a^4 + 2*a^6 - 20*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 14*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 
   23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30750] -> -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   2*z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 30751] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 - (2*z^2)/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 - 5*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 8*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30752] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 
   10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + 8*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 30753] -> 
  -4 + 3/a^2 + 3*a^2 - 2*a^4 + a^8 - 14*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 13*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 11*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 30754] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 7*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   9*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (5*z^4)/a^2 - a^2*z^4 + 13*a^4*z^4 - 
   4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30755] -> a^(-2) - a^2 + a^4 - 4*z^2 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30756] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + (9*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 30757] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 + z^2/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30758] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30759] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^6 - z^4/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30760] -> 1 + 2/a^4 - 5/a^2 + 7*a^2 - 4*a^4 - 2*z^2 + 
   (7*z^2)/a^4 - (15*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + 
   (9*z^4)/a^4 - (20*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30761] -> 
  -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 11*z^2 + (2*z^2)/a^4 + z^2/a^2 + 
   6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30762] -> -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + 
   (7*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30763] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (6*z^4)/a^8 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30764] -> -2/a^12 + 3/a^10 - a^(-8) + a^(-2) - 
   z^2/a^14 + (6*z^2)/a^10 - z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30765] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   4*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30766] -> 1 + a^(-6) - 2/a^4 + 3*a^2 - 2*a^4 + 5*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 30767] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 30768] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (6*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30769] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + a^(-6) + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 - (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30770] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30771] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30772] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 30773] -> -a^(-4) + 2/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^8 - z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + 
   (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 30774] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   9*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30775] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 8*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + z^4 - z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + 3*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 30776] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30777] -> 1 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 18*a^2*z^4 + 
   7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30778] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   18*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30779] -> -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 - (3*z^2)/a^6 + (10*z^2)/a^4 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + z^4/a^6 + (14*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 30780] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 - z^4 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 30781] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 + 
   12*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   18*a^6*z^4 + 14*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 14*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 30782] -> 4 - a^(-4) - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 30783] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 30784] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   a^6*z^2 - z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 30785] -> 
  -5 + 3/a^2 + 5*a^2 - 3*a^4 + a^8 - 11*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^6*z^2 - 5*z^4 - z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30786] -> a^(-2) - a^2 + a^4 - z^2/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 30787] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^4 - a^6 + a^8 + 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 30788] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30789] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 
   10*z^2 - (6*z^2)/a^6 + (16*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (7*z^4)/a^6 + (18*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30790] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 4*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30791] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 + (3*z^4)/a^10 - (20*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30792] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 8*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 30793] -> 
  a^(-4) - a^2 + a^4 - a^6 + a^8 - z^2 - z^2/a^6 - z^2/a^2 - a^2*z^2 - 
   3*a^6*z^2 + z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 30794] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 11*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 
   21*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 30*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 18*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30795] -> -3 + a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + a^8 - 
   5*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 - z^4 + (3*z^4)/a^4 + 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 30796] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 30797] -> 
  a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30798] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 30799] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2/a^10 - (9*z^2)/a^8 + 
   (19*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^10 - (2*z^4)/a^8 + 
   (17*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30800] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30801] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 30802] -> -1 + 3*a^2 - a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30803] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (11*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30804] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 7*z^2 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^6 - z^4/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30805] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30806] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30807] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   4*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 6*a^2*z^4 - 
   18*a^4*z^4 + 15*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 
   13*a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 30808] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - 
   (4*z^2)/a^6 + (13*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^6 + (16*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30809] -> 1 + a^(-2) - 3*a^2 + a^4 + 2*a^6 - a^8 + 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30810] -> 
  -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 - 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30811] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30812] -> -4 + a^(-2) + 7*a^2 - 4*a^4 + 2*a^6 - a^8 - 
   17*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   26*z^4 + (7*z^4)/a^2 + 30*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30813] -> -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   11*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30814] -> 
  -2 + 2/a^6 - 4/a^4 + 3/a^2 + 3*a^2 - a^4 - 9*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30815] -> 
  -3 - a^(-4) + 4/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30816] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (9*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30817] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   8*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30818] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   (5*z^4)/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30819] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^12 - (3*z^2)/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 + (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 30820] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 4*z^2 + 13*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30821] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + a^4*z^4 - a^6*z^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30822] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + 
   z^6/a^2 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 30823] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30824] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 10*z^2 + 
   (4*z^2)/a^6 - (16*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30825] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30826] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + 
   (18*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^6 - (5*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30827] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30828] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (14*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 30829] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - a^2*z^2 - 
   (3*z^4)/a^8 + z^4/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 30830] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30831] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2 + z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 - 
   z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 30832] -> a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 30833] -> 
  5 + 3/a^4 - 7/a^2 - a^2 + 3*a^4 - 2*a^6 + 7*z^2 + (6*z^2)/a^4 - 
   (15*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (4*z^4)/a^4 - 
   (12*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30834] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 17*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30835] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 30836] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 
   2*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30837] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 30838] -> 
  -a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30839] -> 3 + 3/a^4 - 6/a^2 + 3*a^4 - 2*a^6 + 6*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 3*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30840] -> 2 + a^(-6) - 3/a^2 + a^2 + a^4 - a^6 + 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 30841] -> 
  3 - 2/a^10 + 6/a^8 - 4/a^6 - 2/a^2 + 4*z^2 - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (9*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (10*z^4)/a^8 - 
   (5*z^4)/a^6 - (8*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30842] -> 1 - a^(-10) + 3/a^8 - a^(-6) - a^(-4) - 
   a^(-2) + a^2 - z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 30843] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 4*z^2 - 
   z^2/a^10 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 30844] -> 
  a^(-8) - a^(-6) + a^(-4) - a^(-2) + a^4 - 2*z^2 - z^2/a^10 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2, Knot[15, Alternating, 30845] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30846] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30847] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 30848] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) - (8*z^2)/a^8 + (13*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - (2*z^4)/a^8 + 
   (16*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 30849] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 4*z^2 + (2*z^2)/a^8 - (10*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30850] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 30851] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   13*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30852] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 30853] -> 
  2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 + 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 12*a^6*z^2 + 6*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   8*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30854] -> 1 + a^2 - 3*a^6 + 2*a^8 + 4*z^2 - z^2/a^4 - 
   a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - 
   a^6*z^6, Knot[15, Alternating, 30855] -> a^(-10) - 6/a^8 + 7/a^6 - 
   a^(-4) + z^2/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + 
   (19*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + 
   (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30856] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 30857] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 4*a^4*z^2 - z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - 7*a^2*z^4 + 3*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30858] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30859] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 30860] -> -1 + a^(-2) + a^2 + 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + a^2*z^4 - 3*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 30861] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30862] -> 
  2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30863] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 30864] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 30865] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30866] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 12*a^2*z^2 + 4*a^4*z^2 - z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - 7*a^2*z^4 + 3*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30867] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 15*a^2*z^2 + 7*a^4*z^2 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 23*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 30868] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30869] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 30870] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30871] -> 2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 
   20*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 30872] -> -1 + 3*a^2 - a^6 - 6*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   21*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30873] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 30874] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 5*a^4*z^4 - 2*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30875] -> -1 + 3*a^2 - a^6 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30876] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - 6*a^2*z^2 + 3*a^4*z^2 - 5*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30877] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^4*z^2 - 3*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30878] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30879] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^4 + 
   z^2/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30880] -> 
  4*a^2 - 4*a^4 + a^8 - 2*z^2 + 8*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 
   2*a^10*z^2 - 3*z^4 + 5*a^2*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 30881] -> 4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 - z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30882] -> 2 - a^2 - a^4 + a^6 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30883] -> a^2 + a^6 - a^8 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 6*a^2*z^4 - 3*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30884] -> 2*a^4 - a^6 + a^8 - a^10 + 4*a^4*z^2 + 
   a^6*z^2 - a^10*z^2 + a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 30885] -> 1 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^4*z^2 - 
   3*z^4 - z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30886] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 30887] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 
   z^2 + 6*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 2*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 
   a^4*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 4*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 30888] -> 
  1 + a^2 - a^4 - a^6 + a^8 + 2*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 2*a^10*z^2 - 
   2*z^4 + a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 30889] -> -a^(-4) + 2/a^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30890] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 30891] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 30892] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 8*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30893] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - 
   (5*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (8*z^4)/a^8 + (15*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30894] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + (22*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (18*z^4)/a^10 + (17*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 30895] -> -a^(-10) + a^(-8) - 2/a^6 + 
   4/a^4 - a^(-2) + z^2/a^12 - (5*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (8*z^4)/a^8 + (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30896] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + 
   (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 + (8*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30897] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30898] -> -1 - a^(-6) + 2/a^4 + a^2 - 9*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30899] -> a^(-10) - 5/a^8 + 5/a^6 + z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30900] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30901] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 30902] -> 1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^6 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30903] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 + (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (7*z^4)/a^10 + 
   (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30904] -> 3/a^6 - 7/a^4 + 5/a^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (6*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30905] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 30906] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (5*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (14*z^4)/a^8 + (17*z^4)/a^6 - 
   (3*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30907] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) - z^2 + 
   z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   z^4 - (4*z^4)/a^10 + (3*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 30908] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 30909] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   19*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 20*z^4 + 
   (9*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 30910] -> 5 + a^(-4) - 4/a^2 - a^4 + 
   8*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 30911] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 30912] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 2/a^6 + 
   a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30913] -> 
  a^(-12) - 2/a^10 + a^(-6) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30914] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30915] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30916] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 - z^2/a^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 30917] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (20*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30918] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 + z^4/a^10 - (10*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30919] -> -a^(-14) + 6/a^12 - 10/a^10 + 5/a^8 - 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (12*z^2)/a^12 - (16*z^2)/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (12*z^4)/a^10 - 
   (11*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 30920] -> 2/a^10 - 5/a^8 + 3/a^6 + a^(-2) - 
   z^2/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (12*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 30921] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 - 
   (7*z^2)/a^10 + (11*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + 
   (20*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (23*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 30922] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30923] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 30924] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^14 - (6*z^2)/a^12 + 
   (13*z^2)/a^10 - (21*z^2)/a^8 + (23*z^2)/a^6 - (4*z^2)/a^4 - (4*z^4)/a^12 + 
   (17*z^4)/a^10 - (28*z^4)/a^8 + (29*z^4)/a^6 - (6*z^4)/a^4 + (6*z^6)/a^10 - 
   (17*z^6)/a^8 + (18*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 30925] -> 
  14 + a^(-4) - 8/a^2 - 6*a^2 + 35*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 - 
   (10*z^2)/a^2 - 15*a^2*z^2 + 38*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   z^4/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 30926] -> -a^(-2) + 5*a^2 - 3*a^4 + 8*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 13*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 30927] -> -2 + a^(-10) - 4/a^8 + 4/a^6 - 3/a^4 + 
   5/a^2 - 5*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (17*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (22*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 30928] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 5*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 30929] -> 
  -1 + a^(-2) + a^2 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 30930] -> 2*a^2 - a^4 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30931] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   2*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 30932] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 30933] -> 2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 5*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30934] -> 
  4 - 2/a^2 - a^4 + 8*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 - 2*a^4*z^2 + 
   7*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 
   3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 30935] -> 
  2 - 2*a^2 + a^4 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 30936] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^2 + 9*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30937] -> 
  3/a^4 - 5/a^2 + 3*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30938] -> a^2 + a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 30939] -> 1 + 2*a^2 - 3*a^4 + a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   3*a^2*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 30940] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30941] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 30942] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 30943] -> 1 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30944] -> a^2 + a^4 - a^6 + 3*a^2*z^2 + a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 7*a^2*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 30945] -> 2*a^2 - a^4 + 5*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 4*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 30946] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - z^4 + a^2*z^4 - 11*a^4*z^4 + 14*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30947] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 30948] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 12*z^2 - (4*z^2)/a^2 - 8*a^2*z^2 - 12*a^4*z^2 + 
   7*a^6*z^2 + 17*z^4 - (8*z^4)/a^2 - a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30949] -> a^(-6) - a^(-2) + a^4 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 30950] -> 1 + a^(-2) - a^2 - a^4 + a^8 - z^2/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + z^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 
   8*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 30951] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (9*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 30952] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   6*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 23*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 30953] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 18*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 30954] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30955] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 10*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 30956] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 30957] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30958] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 - 
   13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 22*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 15*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 30959] -> -1 + 4*a^2 - 2*a^4 - 10*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 30960] -> 2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 
   4*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30961] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 30962] -> 2 - 2/a^8 + 4/a^6 - 3/a^4 + a^(-2) - a^2 + 
   5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 30963] -> 2*a^2 - a^4 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30964] -> 2 - a^(-2) + a^4 - a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 + a^6*z^2 - a^8*z^2 + z^4/a^2 + a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 30965] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   14*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 18*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30966] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 11*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 6*a^4*z^2 - 2*a^6*z^2 - 11*z^4 + z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 30967] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (2*z^2)/a^4 + 16*a^2*z^2 - 
   5*a^4*z^2 - 15*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 30968] -> -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 
   9*z^2 + (5*z^2)/a^2 + 6*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 30969] -> -a^(-4) + 2/a^2 - 5*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 8*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 30970] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 2*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^6 - z^4/a^4 + (8*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30971] -> 
  2*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 30972] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 3*z^2 - (3*z^2)/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 + 7*z^4 - (6*z^4)/a^2 + 22*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 30973] -> 4 - 2/a^2 - a^4 + 9*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 10*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 30974] -> 2 + 2/a^8 - 9/a^6 + 11/a^4 - 4/a^2 - a^2 + 
   2*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (21*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (18*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 30975] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 30976] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (12*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (13*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30977] -> 
  a^(-12) - 3/a^10 + 2/a^8 + a^(-2) - z^2 + z^2/a^12 - (5*z^2)/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 30978] -> 
  2 - a^(-10) + 5/a^8 - 6/a^6 + 2/a^4 - a^(-2) + 5*z^2 - (2*z^2)/a^10 + 
   (13*z^2)/a^8 - (14*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - 
   z^4/a^10 + (11*z^4)/a^8 - (16*z^4)/a^6 - (10*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 30979] -> 
  -a^(-10) + 4/a^8 - 3/a^6 - a^(-4) + a^(-2) + a^2 - z^2 - z^2/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 30980] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + 3/a^8 - a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (12*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (11*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 30981] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + a^(-6) + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30982] -> 
  a^(-12) - 3/a^10 + 2/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (12*z^2)/a^10 + 
   (9*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (12*z^4)/a^10 + (16*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 30983] -> 
  5 - 2/a^2 - 2*a^2 + 23*z^2 + (4*z^2)/a^4 - (18*z^2)/a^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + 39*z^4 + (4*z^4)/a^4 - (28*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 
   32*z^6 + z^6/a^4 - (16*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - 
   (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 30984] -> 3 - a^(-2) - a^2 + 10*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 15*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 30985] -> 9 - 4/a^2 - 4*a^2 + 26*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 - (8*z^2)/a^2 - 11*a^2*z^2 + 30*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - (2*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 30986] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 30987] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   a^(-6) + a^(-2) - z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (5*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 30988] -> -4 - a^(-4) + 4/a^2 + a^2 + 
   2*a^4 - a^6 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 4*a^4*z^2 - 
   a^6*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 30989] -> 
  -a^(-4) + 2/a^2 + 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 30990] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - (3*z^4)/a^6 - z^4/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 30991] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   20*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 28*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 30992] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^4 - a^6 - 3*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - z^4 - z^4/a^4 + (7*z^4)/a^2 - 9*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 30993] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + (2*z^4)/a^4 - 2*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 30994] -> a^(-14) - 4/a^12 + 4/a^10 - a^(-8) - 
   a^(-6) + 2/a^4 - z^2/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 30995] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   z^2/a^14 + z^2/a^12 + (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^2 + (2*z^4)/a^12 + 
   z^4/a^10 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 30996] -> 
  -5 + a^(-6) - 4/a^4 + 6/a^2 + 5*a^2 - 2*a^4 - 20*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (22*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (29*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 30997] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 30998] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 30999] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 15*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 31000] -> 
  5 - 2/a^2 - 2*a^2 + 8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + z^4 + z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 31001] -> 
  3 - a^(-2) - a^2 + 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 31002] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 31003] -> -3 - a^(-4) + 4/a^2 - 2*a^2 + 5*a^4 - 
   2*a^6 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 31004] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 31005] -> 1 + 3/a^4 - 5/a^2 + a^2 + 3*a^4 - 2*a^6 - 
   3*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   9*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   8*z^6 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 31006] -> a^(-6) - 2/a^2 + 2*a^2 + a^4 - 
   a^6 - 2*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 31007] -> 
  3 - 2/a^10 + 5/a^8 - 2/a^6 - a^(-4) - 2/a^2 + 4*z^2 - (4*z^2)/a^10 + 
   (9*z^2)/a^8 - (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^10 + 
   (6*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31008] -> 
  1 - a^(-10) + 2/a^8 + a^(-6) - 2/a^4 - a^(-2) + a^2 - z^2 - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 31009] -> 
  -1 - a^(-8) + 4/a^6 - 3/a^4 + 2*a^2 - 4*z^2 - z^2/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (7*z^4)/a^6 + z^4/a^4 + z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 31010] -> a^(-6) - a^(-2) + a^4 - 2*z^2 - z^2/a^10 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2, Knot[15, Alternating, 31011] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31012] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 3*z^2 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - 
   z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 31013] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 4*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31014] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 31015] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 + z^2/a^8 - (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 31016] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 31017] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 31018] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31019] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 31020] -> a^2 + a^8 - a^10 - z^2 + 
   z^2/a^4 + 2*a^2*z^2 - a^4*z^2 + 3*a^8*z^2 - 2*z^4 - (2*z^4)/a^2 - 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 31021] -> 2*a^6 - a^8 + 2*a^10 - 2*a^12 + 2*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + 6*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 
   4*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 31022] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31023] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 + 
   4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + a^10*z^2 - z^4/a^2 - 5*a^4*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31024] -> a^2 + a^4 - a^6 + z^2 + a^4*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31025] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 31026] -> -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 31027] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 31028] -> 2 + a^(-4) - 2/a^2 - z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31029] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 31030] -> 
  a^(-2) + a^2 - 2*a^4 + a^8 - 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 31031] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 31032] -> a^(-2) - a^2 + a^4 + 2*z^2 - 
   z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 31033] -> 2*a^2 - a^4 + 5*a^2*z^2 - 6*a^4*z^2 + 
   2*a^8*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 
   2*z^6 - z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31034] -> 3*a^2 - 3*a^4 + a^6 + z^2 + 3*a^2*z^2 - 
   5*a^4*z^2 - a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 31035] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31036] -> -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 31037] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 + 5*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   4*z^4 - z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 31038] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31039] -> -1 + 2/a^2 - a^4 + a^8 - z^2/a^4 - a^2*z^2 - 
   4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^4 + 3*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 31040] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 31041] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 3*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 31042] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 6*z^2 + z^2/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31043] -> -2 + 2/a^2 + a^4 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 31044] -> 3 - a^(-2) - 2*a^4 + a^6 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31045] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 
   z^2/a^4 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31046] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   z^2/a^14 + (2*z^2)/a^12 - (7*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (5*z^4)/a^10 + (6*z^4)/a^8 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31047] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + z^2/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 31048] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31049] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31050] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31051] -> 2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 - 
   (11*z^2)/a^14 + (10*z^2)/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (13*z^4)/a^12 + (12*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 31052] -> a^(-16) - 3/a^14 + 2/a^10 + 
   a^(-6) - z^2/a^16 - (4*z^2)/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 + 
   (3*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (5*z^4)/a^12 + 
   (7*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 31053] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 - 
   z^2/a^6 + (10*z^2)/a^4 - (10*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (12*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 31054] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 - 3*z^2 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 31055] -> 
  -a^(-18) + 7/a^16 - 14/a^14 + 8/a^12 - a^(-10) + 2/a^8 + (6*z^2)/a^16 - 
   (28*z^2)/a^14 + (21*z^2)/a^12 + (6*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - 
   (17*z^4)/a^14 + (28*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (18*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 31056] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 3/a^10 + a^(-6) - (6*z^2)/a^14 + z^2/a^12 + 
   (9*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (7*z^4)/a^12 + (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 31057] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 + (2*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 31058] -> 
  4 - 6*a^2 + 3*a^4 + z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 18*a^2*z^2 + 
   9*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 23*a^2*z^4 + 10*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 31059] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 8*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 11*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 31060] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31061] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 - z^6/a^2 + 3*a^2*z^6 - 3*a^4*z^6 + 
   3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 31062] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 - z^2/a^2 + a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31063] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 31064] -> 
  16 + a^(-4) - 9/a^2 - 7*a^2 + 39*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   (11*z^2)/a^2 - 17*a^2*z^2 + 41*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (2*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 31065] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 10*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 14*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31066] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31067] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   z^2/a^10 + (7*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^10 + (8*z^4)/a^8 - (8*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (5*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31068] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 31069] -> 1 - a^(-8) + 3/a^6 - 2/a^4 - a^2 + a^4 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31070] -> 3/a^16 - 9/a^14 + 6/a^12 - a^(-10) + 2/a^8 + 
   (2*z^2)/a^16 - (20*z^2)/a^14 + (18*z^2)/a^12 + (6*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (12*z^4)/a^14 + (27*z^4)/a^12 + 
   (17*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (18*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 31071] -> 2/a^16 - 6/a^14 + 3/a^12 + a^(-10) + 
   a^(-6) - (10*z^2)/a^14 + (9*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + (12*z^4)/a^12 + (11*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 31072] -> 
  2 - a^(-8) + 4/a^6 - 6/a^4 + 3/a^2 - a^2 + 3*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (17*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (6*z^4)/a^6 - 
   (19*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31073] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (13*z^2)/a^2 + 6*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - 
   (16*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (11*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 31074] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   14*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31075] -> 
  -2 + 5*a^2 - a^4 - a^6 - 8*z^2 + z^2/a^2 + 14*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 8*z^4 + z^4/a^4 - z^4/a^2 + 17*a^2*z^4 - 2*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 10*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31076] -> 11 - 5/a^2 - 5*a^2 + 28*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (8*z^2)/a^2 - 12*a^2*z^2 + 31*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 - z^4/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 31077] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 24*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 31*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31078] -> 2/a^12 - 6/a^10 + a^(-8) + 6/a^6 - 
   2/a^4 + (3*z^2)/a^12 - (17*z^2)/a^10 + (12*z^2)/a^8 + (15*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (15*z^4)/a^10 + (20*z^4)/a^8 + 
   (18*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (13*z^6)/a^8 + 
   (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 31079] -> a^(-12) - 3/a^10 + 2/a^6 + 
   2/a^4 - a^(-2) - z^2 + z^2/a^12 - (7*z^2)/a^10 + (3*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - z^4 - (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (11*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 31080] -> 2 + a^(-4) - 2/a^2 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31081] -> 
  2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31082] -> a^(-8) - 2/a^4 + a^(-2) + a^2 - z^2 + 
   z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 31083] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31084] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31085] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   18*z^4 + z^4/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31086] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 3*z^2 - 11*a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 - 
   z^4 + z^4/a^4 - z^4/a^2 - 4*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31087] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^6 + 
   z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 31088] -> 
  1 + 7*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   12*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 31089] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 
   z^2 - z^2/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31090] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 31091] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31092] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31093] -> 5 + 2/a^4 - 5/a^2 - a^2 + 11*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 31094] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 
   z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 31095] -> 
  -1 + 3*a^2 - a^6 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 21*a^4*z^4 - 9*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31096] -> 
  2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (17*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - (12*z^4)/a^10 + 
   (16*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (8*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31097] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (5*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 31098] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   3*z^2 + z^2/a^10 - (2*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (5*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 31099] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   2*a^2*z^2 - a^4*z^2 + 16*a^6*z^2 - a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 3*a^4*z^4 + 16*a^6*z^4 + 2*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 31100] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + (3*z^2)/a^10 - (5*z^2)/a^8 - 
   (6*z^2)/a^6 + (16*z^2)/a^4 - (5*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   z^4/a^6 + (19*z^4)/a^4 - (8*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (7*z^6)/a^6 + (14*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + (5*z^8)/a^6 + 
   (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 31101] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 31102] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (16*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 31103] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 8*z^4 - z^4/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31104] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - 6*a^2*z^2 + 3*a^4*z^2 - 5*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 31105] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^4*z^2 - 3*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31106] -> 2 + a^2 - 5*a^4 + 4*a^6 - 2*a^8 + a^10 + 
   4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31107] -> 1 + a^(-2) - 2*a^2 + a^4 - a^8 + a^10 - 
   z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 31108] -> 2*a^4 - a^6 + 2*a^8 - 3*a^10 + 
   a^12 + 5*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - 
   a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 31109] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 + a^4*z^2 + 7*a^6*z^2 - 4*a^10*z^2 + 
   a^12*z^2 + a^4*z^4 + 4*a^6*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 31110] -> 1 + a^2 - 3*a^6 + 2*a^8 + 2*a^2*z^2 - 
   8*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 2*z^4 + a^2*z^4 + 2*a^4*z^4 - 
   7*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 31111] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 31112] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 - z^2 + 5*a^2*z^2 - a^4*z^2 - 8*a^6*z^2 + 
   a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 2*a^4*z^4 - 7*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 31113] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31114] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 
   2*z^4 + a^2*z^4 + 5*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 
   6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31115] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 2*a^10*z^2 - 
   z^4 - a^2*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 
   4*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 31116] -> 5 - 6*a^2 + 2*a^6 + 14*z^2 - (4*z^2)/a^2 - 
   13*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 + 18*z^4 - (8*z^4)/a^2 - 5*a^2*z^4 - 
   19*a^4*z^4 + 5*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 6*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31117] -> 2/a^2 - 2*a^2 - a^4 + 2*a^6 - z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31118] -> 2 + a^(-2) - 3*a^2 + a^8 + z^2 - z^2/a^2 - 
   a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 
   8*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31119] -> -3 + 3/a^2 + a^2 - a^4 + a^8 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + 
   3*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 31120] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 21*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31121] -> 
  5*a^6 - 5*a^8 + a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 21*a^6*z^2 - 14*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 26*a^6*z^4 - 15*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 14*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31122] -> 
  2 - a^(-2) + a^2 - a^4 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31123] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 9*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31124] -> 2 - a^(-2) + a^2 - a^4 - 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31125] -> 
  a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 31126] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 31127] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (5*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^2 - (4*z^6)/a^10 + 
   (6*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31128] -> -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31129] -> a^(-12) - 4/a^10 + 2/a^8 + a^(-6) + 2/a^4 - 
   a^(-2) + z^2/a^12 - (8*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (7*z^4)/a^8 + 
   (14*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 31130] -> -a^(-14) + 3/a^12 - 6/a^10 + 
   5/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - (9*z^2)/a^10 + 
   (8*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (6*z^4)/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31131] -> 
  2/a^16 - 5/a^14 + a^(-12) + 2/a^10 + a^(-6) + z^2/a^16 - (10*z^2)/a^14 + 
   (4*z^2)/a^12 + (10*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (9*z^4)/a^12 + (14*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 31132] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 31133] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 4*z^2 + z^2/a^2 - 3*a^2*z^2 + 20*a^4*z^2 - 
   9*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31134] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - (6*z^2)/a^10 - 
   (2*z^2)/a^8 + (17*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (5*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31135] -> 
  3*a^2 - 3*a^4 + a^6 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31136] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 31137] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31138] -> a^(-8) - a^(-6) + a^2 - z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 31139] -> 2 - a^(-4) + 3*a^2 - 4*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 31140] -> 
  2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31141] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (3*z^4)/a^6 + (6*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (8*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 31142] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31143] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 31144] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31145] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31146] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   z^2/a^6 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 31147] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   3*z^2 + z^2/a^10 - (4*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (5*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 31148] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 10*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 31149] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^4 + (5*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31150] -> 
  3/a^4 - 5/a^2 + 3*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 31151] -> 1 + z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31152] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31153] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31154] -> a^(-2) - a^2 + a^4 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 31155] -> 
  2 + a^2 - 5*a^4 + 4*a^6 - 2*a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 31156] -> a^2 + a^4 - a^6 + z^2 + a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 3*a^2*z^4 - a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31157] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31158] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31159] -> 4 - 4*a^2 - a^4 + 2*a^6 + 8*z^2 - 
   (2*z^2)/a^2 - 8*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 
   3*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 31160] -> -4 + 3/a^2 + 3*a^2 - 2*a^4 + 
   a^8 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 31161] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 31162] -> -a^(-10) + a^(-6) + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 31163] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31164] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31165] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - (2*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 31166] -> 
  a^(-8) - 2/a^6 + 2/a^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31167] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (13*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 31168] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 31169] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31170] -> a^(-4) - a^(-2) + a^2 - 5*z^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31171] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31172] -> a^(-2) - a^2 + a^4 - 5*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 11*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31173] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 31174] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 7*z^2 + z^2/a^8 + (8*z^2)/a^6 - 
   (25*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31175] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + z^4/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 31176] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 - z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   z^4/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31177] -> 4 - 2/a^2 + 3*a^2 - 7*a^4 + 3*a^6 + 18*z^2 - 
   (7*z^2)/a^2 - 21*a^4*z^2 + 10*a^6*z^2 + 24*z^4 - (5*z^4)/a^2 - 9*a^2*z^4 - 
   27*a^4*z^4 + 12*a^6*z^4 + 12*z^6 - z^6/a^2 - 12*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 31178] -> 6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 11*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 9*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31179] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 31180] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2 - (2*z^2)/a^8 + z^2/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31181] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 5*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (4*z^4)/a^6 + (17*z^4)/a^4 - (9*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31182] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 31183] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31184] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31185] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^8 - 4/a^6 + 
   4/a^4 - (2*z^2)/a^14 + (10*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (12*z^4)/a^10 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 31186] -> -a^(-14) + 2/a^12 - 2/a^8 + 
   a^(-6) - a^(-4) + 2/a^2 - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - 
   (5*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - 
   (4*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 31187] -> -4 + 2/a^8 - 5/a^6 - a^(-4) + 9/a^2 - 
   12*z^2 + (7*z^2)/a^8 - (20*z^2)/a^6 + (4*z^2)/a^4 + (25*z^2)/a^2 - 
   13*z^4 + (5*z^4)/a^8 - (25*z^4)/a^6 + (12*z^4)/a^4 + (30*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (12*z^6)/a^6 + (13*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31188] -> 3 + a^(-8) - 2/a^6 - a^(-4) + 2/a^2 - 
   2*a^2 + 6*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31189] -> 
  -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 5*z^2 + (2*z^2)/a^10 - z^2/a^8 - 
   (11*z^2)/a^6 + (10*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (6*z^4)/a^6 + (12*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 31190] -> 
  1 + a^(-8) - 2/a^6 - a^(-4) + 3/a^2 - a^2 + z^2 + z^2/a^10 - (5*z^2)/a^6 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + z^4 - (2*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 31191] -> 5 + a^(-4) - 4/a^2 - a^4 + 9*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 10*z^4 + 
   (4*z^4)/a^4 - (17*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31192] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + z^2/a^6 - (7*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31193] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - 5*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (7*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + (17*z^4)/a^4 - 
   (9*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31194] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 31195] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   11*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (2*z^4)/a^6 + (12*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31196] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 9*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 10*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31197] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + 
   z^2/a^6 - (7*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31198] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + 
   (13*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 31199] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31200] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 + z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31201] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 - (2*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31202] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31203] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 31204] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 + z^2 + z^2/a^6 - z^2/a^4 + 5*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31205] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 4*z^2 + 
   9*a^2*z^2 + 3*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 
   a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 31206] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + 
   (11*z^2)/a^2 - 5*z^4 + z^4/a^8 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 31207] -> -a^(-4) + 2/a^2 - z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31208] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31209] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31210] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   5*z^6 - z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 2*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31211] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 7*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 - 11*z^4 - (9*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + z^6/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31212] -> -2 - a^(-4) + 3/a^2 + a^2 - 15*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 + z^6/a^4 + (3*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 31213] -> 1 + z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   15*a^2*z^4 + 7*a^4*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 31214] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 + (3*z^2)/a^8 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + 
   z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31215] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 31216] -> 
  -2/a^10 + 6/a^8 - 4/a^6 - 3/a^4 + 4/a^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (14*z^4)/a^8 - 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31217] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31218] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31219] -> -1 + a^(-6) - 2/a^2 + 5*a^2 - 2*a^4 - 
   7*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   14*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31220] -> 
  2 + a^(-10) - 2/a^8 + 2/a^6 - a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^10 - 
   (9*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 31221] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - (6*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 31222] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - 
   a^6 + a^8 - 6*z^2 + z^2/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 31223] -> a^2 - 2*a^4 + 4*a^6 - 3*a^8 + 
   3*a^10 - 2*a^12 + 6*a^2*z^2 - 13*a^4*z^2 + 22*a^6*z^2 - 16*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 25*a^4*z^4 + 29*a^6*z^4 - 
   20*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 18*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31224] -> a^2 - 2*a^4 + 4*a^6 - 2*a^8 + a^10 - a^12 + 
   2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 + z^4 - 5*a^2*z^4 - 
   3*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31225] -> 
  -6 - a^(-8) + 4/a^6 - 4/a^4 + 4/a^2 + 4*a^2 - 17*z^2 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - (20*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (27*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 31226] -> 1 + a^(-6) - a^(-2) - 2*a^2 + 2*a^4 + 
   3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 31227] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 
   z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 31228] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - z^2/a^2 + a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31229] -> 
  -2 + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 2*a^4 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31230] -> a^2 + a^8 - a^10 + 4*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 13*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31231] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 - 
   a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 + 
   2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 31232] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 + 7*a^2*z^2 - 16*a^4*z^2 + 
   16*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 22*a^4*z^4 + 
   20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31233] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 - 
   z^2/a^2 + 15*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 22*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31234] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (7*z^4)/a^8 + (13*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31235] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + (4*z^4)/a^4 - (7*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31236] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 31237] -> 
  -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 22*z^2 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 30*z^4 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31238] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 
   21*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (32*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31239] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 4*z^4 + 6*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31240] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 - (2*z^4)/a^2 - 
   a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31241] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   16*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31242] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 14*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 31243] -> 
  -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 6*z^2 + z^2/a^8 + (6*z^2)/a^6 - 
   (19*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 - z^6/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 31244] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 - z^2 + z^2/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 31245] -> 
  -3 + 8*a^2 - 4*a^4 - 6*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 20*a^2*z^2 - 
   8*a^4*z^2 - 8*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31246] -> -3 - a^(-4) + 3/a^2 + a^2 + 3*a^4 - 2*a^6 - 
   9*z^2 - z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   11*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   8*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 31247] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 7*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 31248] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - 
   a^2 + 6*z^2 + (6*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31249] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31250] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 31251] -> -a^(-14) + 3/a^12 + a^(-10) - 
   10/a^8 + 8/a^6 - (4*z^2)/a^14 + (18*z^2)/a^12 - (13*z^2)/a^10 - 
   (19*z^2)/a^8 + (20*z^2)/a^6 - (4*z^4)/a^14 + (28*z^4)/a^12 - 
   (33*z^4)/a^10 - (19*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (31*z^6)/a^10 - (14*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 31252] -> -a^(-14) + 3/a^12 - 2/a^10 - 3/a^6 + 4/a^4 - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (10*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31253] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (22*z^4)/a^12 - (21*z^4)/a^10 - (6*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 31254] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 3/a^8 - 4/a^6 + 4/a^4 - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (12*z^2)/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (13*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31255] -> -a^(-14) + 3/a^12 - 2/a^10 - a^(-8) + 
   a^(-6) - a^(-4) + 2/a^2 - z^2/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - 
   (5*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - 
   (4*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 31256] -> -4 + 2/a^8 - 6/a^6 + a^(-4) + 8/a^2 - 
   12*z^2 + (7*z^2)/a^8 - (27*z^2)/a^6 + (19*z^2)/a^4 + (18*z^2)/a^2 - 
   13*z^4 + (5*z^4)/a^8 - (36*z^4)/a^6 + (41*z^4)/a^4 + (19*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (18*z^6)/a^6 + (36*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31257] -> 3 + a^(-8) - 3/a^6 + a^(-4) + a^(-2) - 
   2*a^2 + 6*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (12*z^4)/a^6 + (13*z^4)/a^4 + (9*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31258] -> 
  -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (11*z^2)/a^6 + (17*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 - (2*z^4)/a^6 + (21*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 31259] -> 
  1 + a^(-8) - 3/a^6 + a^(-4) + 2/a^2 - a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + 
   (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 31260] -> 
  2*a^2 - a^4 - 2*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31261] -> 
  -2/a^6 + 3/a^4 - 4*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + (16*z^2)/a^4 + 
   (2*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + (29*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 31262] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 + (6*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - 
   5*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (9*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31263] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (9*z^4)/a^4 + z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 31264] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31265] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   6*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   14*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 31266] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 31267] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 31268] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^2 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   z^6/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31269] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 4*z^2 + (7*z^2)/a^6 - (19*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31270] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31271] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31272] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 - 2*a^2*z^4 + 
   3*a^6*z^4 - a^8*z^4 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 31273] -> 1 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31274] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 14*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31275] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^6*z^2 - z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 31276] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + 
   3*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 31277] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   4*z^2 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31278] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 12*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 31279] -> -2 + 2/a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31280] -> a^2 + a^4 - a^6 + z^2 + a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 3*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31281] -> a^4 + 2*a^6 - 2*a^8 + 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + a^12*z^2 + a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 31282] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31283] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31284] -> -4 + 3/a^4 - 2/a^2 + 4*a^2 - 18*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 22*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31285] -> 
  -1 + a^(-6) - a^2 + 2*a^4 - 4*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - z^4 - (2*z^4)/a^6 - z^4/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31286] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 13*z^4 + z^4/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 11*z^6 + z^6/a^4 + a^2*z^6 + 
   2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 31287] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31288] -> -2 + a^(-4) + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31289] -> 3*a^2 - 3*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31290] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 - z^4 + 2*a^2*z^4 - 14*a^4*z^4 + 16*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31291] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   4*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 19*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31292] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 20*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31293] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   14*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   21*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 31294] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   7*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - (10*z^2)/a^4 + (20*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (13*z^4)/a^6 - (6*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31295] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (12*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + 2*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 31296] -> 
  2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 - z^2/a^10 - (14*z^2)/a^8 + 
   (21*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 - (7*z^4)/a^8 + 
   (25*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 31297] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 4*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (17*z^2)/a^4 + 
   (15*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - (11*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (2*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 31298] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + (2*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31299] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^8 - 
   z^2/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 31300] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + 
   z^6 + z^6/a^4 - (8*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31301] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   3*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - z^4/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31302] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + 
   (6*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 31303] -> -a^(-14) + 4/a^12 - 6/a^10 + 
   a^(-8) + 3/a^6 - (4*z^2)/a^14 + (21*z^2)/a^12 - (30*z^2)/a^10 + 
   (9*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (31*z^4)/a^12 - 
   (48*z^4)/a^10 + (6*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (37*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 31304] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + 
   (4*z^2)/a^12 - (24*z^2)/a^10 + (30*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (32*z^4)/a^10 + (51*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (17*z^6)/a^10 + (38*z^6)/a^8 + (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 31305] -> -a^(-14) + 4/a^12 - 6/a^10 + 
   2/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + (11*z^2)/a^12 - (12*z^2)/a^10 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (11*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31306] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + (2*z^2)/a^12 - (12*z^2)/a^10 + 
   (12*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (12*z^4)/a^8 + (15*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31307] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 15*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31308] -> -2*a^2 + 9*a^4 - 8*a^6 + 2*a^8 - 
   13*a^2*z^2 + 47*a^4*z^2 - 46*a^6*z^2 + 15*a^8*z^2 - 16*a^2*z^4 + 
   75*a^4*z^4 - 89*a^6*z^4 + 29*a^8*z^4 - 7*a^2*z^6 + 53*a^4*z^6 - 
   82*a^6*z^6 + 23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 40*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 31309] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 37*z^2 - 
   (7*z^2)/a^2 - 55*a^2*z^2 + 22*a^4*z^2 + 63*z^4 - (11*z^4)/a^2 - 
   101*a^2*z^4 + 34*a^4*z^4 + 47*z^6 - (6*z^6)/a^2 - 88*a^2*z^6 + 
   24*a^4*z^6 + 16*z^8 - z^8/a^2 - 41*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 31310] -> 
  -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 6*a^2*z^2 + 14*a^4*z^2 - 
   23*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 5*a^4*z^4 - 30*a^6*z^4 + 
   12*a^8*z^4 - z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31311] -> 5 - 8*a^2 + 4*a^4 + 6*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 26*a^2*z^2 + 12*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 33*a^2*z^4 + 13*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   21*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 31312] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 4*z^2 + 8*a^2*z^2 + 7*a^4*z^2 - 17*a^6*z^2 + 
   7*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 2*a^4*z^4 - 21*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31313] -> 3 + a^(-2) - 7*a^2 + 4*a^4 - z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 20*a^2*z^2 + 10*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 31314] -> 
  1 - 5*a^2 + 10*a^4 - 5*a^6 + 7*z^2 - 36*a^2*z^2 + 56*a^4*z^2 - 22*a^6*z^2 + 
   11*z^4 - 63*a^2*z^4 + 101*a^4*z^4 - 34*a^6*z^4 + 6*z^6 - 47*a^2*z^6 + 
   88*a^4*z^6 - 24*a^6*z^6 + z^8 - 16*a^2*z^8 + 41*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 31315] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 6*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 26*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 33*a^4*z^4 - 13*a^6*z^4 - 9*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   21*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31316] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 - 7*z^2 + (2*z^2)/a^2 - a^2*z^2 + 18*a^4*z^2 - 
   9*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 23*a^4*z^4 - 10*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 10*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31317] -> -a^(-8) + a^(-6) + a^(-2) + 3*z^2 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 7*z^4 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (2*z^4)/a^4 - (14*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (7*z^6)/a^4 - (13*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 31318] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 31319] -> 
  6 - a^(-2) - 5*a^2 - a^4 + 2*a^6 + 24*z^2 - (6*z^2)/a^2 - 21*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 + 28*z^4 - (5*z^4)/a^2 - 28*a^2*z^4 - 22*a^4*z^4 + 
   12*a^6*z^4 + 13*z^6 - z^6/a^2 - 19*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 31320] -> 4 - 4*a^2 - a^4 + 2*a^6 + 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 14*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 16*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31321] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 12*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - z^4/a^4 + 
   (6*z^4)/a^2 - 14*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31322] -> -3/a^6 + 5/a^4 - a^(-2) - 4*z^2 + 
   (4*z^2)/a^8 - (19*z^2)/a^6 + (25*z^2)/a^4 - (2*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (29*z^4)/a^6 + (41*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (33*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31323] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (5*z^4)/a^6 + (12*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 31324] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 2*z^4 + z^4/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 31325] -> 
  -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 6*z^2 + 11*a^2*z^2 + 12*a^4*z^2 - 
   25*a^6*z^2 + 10*a^8*z^2 - 5*z^4 + 18*a^2*z^4 + 6*a^4*z^4 - 32*a^6*z^4 + 
   12*a^8*z^4 - z^6 + 11*a^2*z^6 - 5*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31326] -> -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 8*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31327] -> -1 + 4*a^2 - 4*a^6 + 2*a^8 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31328] -> -2/a^10 + 6/a^8 - 5/a^6 - a^(-4) + 3/a^2 - 
   (7*z^2)/a^10 + (31*z^2)/a^8 - (30*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   (5*z^4)/a^10 + (40*z^4)/a^8 - (54*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6/a^10 + (19*z^6)/a^8 - (42*z^6)/a^6 - (12*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^8 - (15*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 31329] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (19*z^2)/a^12 - (29*z^2)/a^10 + (11*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^14 + (31*z^4)/a^12 - (47*z^4)/a^10 + (7*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (37*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 31330] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (6*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (8*z^4)/a^10 - (15*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31331] -> 
  1 - 2/a^10 + 6/a^8 - 5/a^6 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (10*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (12*z^4)/a^8 - (12*z^4)/a^6 - (19*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (8*z^6)/a^6 - (13*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 31332] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (21*z^2)/a^8 - (28*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (32*z^4)/a^8 - (49*z^4)/a^6 + (8*z^4)/a^2 - z^6/a^10 + 
   (17*z^6)/a^8 - (38*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (14*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31333] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (10*z^4)/a^8 - (9*z^4)/a^6 - (18*z^4)/a^4 + 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31334] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 48*z^2 + (13*z^2)/a^4 - (44*z^2)/a^2 - 
   16*a^2*z^2 + 90*z^4 + (16*z^4)/a^4 - (74*z^4)/a^2 - 29*a^2*z^4 + 82*z^6 + 
   (7*z^6)/a^4 - (53*z^6)/a^2 - 23*a^2*z^6 + 40*z^8 + z^8/a^4 - 
   (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 31335] -> 4 + a^(-4) - 3/a^2 - a^2 + 12*z^2 + 
   (6*z^2)/a^4 - (17*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 16*z^4 + 
   (5*z^4)/a^4 - (23*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + 13*z^6 + z^6/a^4 - 
   (12*z^6)/a^2 + 12*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31336] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 23*z^2 + (4*z^2)/a^6 - (5*z^2)/a^4 - 
   (13*z^2)/a^2 - 9*a^2*z^2 + 30*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 - 
   (5*z^4)/a^2 - 12*a^2*z^4 + 20*z^6 + z^6/a^6 - (10*z^6)/a^4 + (6*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 31337] -> 2 + a^(-4) - 2/a^2 + 6*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31338] -> 5 + 2/a^4 - 5/a^2 - a^2 + 14*z^2 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 18*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - 8*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 31339] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + 6*z^4 + z^4/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31340] -> 
  -3*a^2 + 10*a^4 - 7*a^6 + a^8 - 13*a^2*z^2 + 48*a^4*z^2 - 45*a^6*z^2 + 
   15*a^8*z^2 - 16*a^2*z^4 + 75*a^4*z^4 - 89*a^6*z^4 + 29*a^8*z^4 - 
   7*a^2*z^6 + 53*a^4*z^6 - 82*a^6*z^6 + 23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 
   40*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 31341] -> -1 + a^2 + 5*a^4 - 5*a^6 + a^8 - 4*z^2 + 
   8*a^2*z^2 + 12*a^4*z^2 - 21*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 
   4*a^4*z^4 - 30*a^6*z^4 + 12*a^8*z^4 - z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 
   20*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 31342] -> 
  -4*a^2 + 11*a^4 - 6*a^6 + 6*z^2 - 34*a^2*z^2 + 58*a^4*z^2 - 23*a^6*z^2 + 
   11*z^4 - 62*a^2*z^4 + 102*a^4*z^4 - 34*a^6*z^4 + 6*z^6 - 47*a^2*z^6 + 
   88*a^4*z^6 - 24*a^6*z^6 + z^8 - 16*a^2*z^8 + 41*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 31343] -> -1 + 6*a^4 - 4*a^6 - 7*z^2 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 25*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   33*a^4*z^4 - 13*a^6*z^4 - 9*z^6 + z^6/a^2 + 8*a^2*z^6 + 21*a^4*z^6 - 
   6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31344] -> -2*a^2 + 7*a^4 - 4*a^6 - 3*z^2 + 5*a^2*z^2 + 
   10*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 18*a^6*z^4 + 
   8*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31345] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31346] -> 9 - 3/a^2 - 7*a^2 + 2*a^4 + 42*z^2 - 
   (10*z^2)/a^2 - 50*a^2*z^2 + 19*a^4*z^2 + 67*z^4 - (12*z^4)/a^2 - 
   97*a^2*z^4 + 33*a^4*z^4 + 48*z^6 - (6*z^6)/a^2 - 87*a^2*z^6 + 24*a^4*z^6 + 
   16*z^8 - z^8/a^2 - 41*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 31347] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   23*a^2*z^2 + 11*a^4*z^2 - z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 32*a^2*z^4 + 
   13*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 - 21*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 31348] -> 11 - 5/a^2 - 5*a^2 + 57*z^2 + (6*z^2)/a^4 - 
   (35*z^2)/a^2 - 23*a^2*z^2 + 102*z^4 + (11*z^4)/a^4 - (62*z^4)/a^2 - 
   34*a^2*z^4 + 88*z^6 + (6*z^6)/a^4 - (47*z^6)/a^2 - 24*a^2*z^6 + 41*z^8 + 
   z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 31349] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   24*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 - 12*a^2*z^2 + 33*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 13*a^2*z^4 + 21*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 31350] -> 
  9 - 4/a^2 - 4*a^2 + 22*z^2 + (3*z^2)/a^4 - (16*z^2)/a^2 - 5*a^4*z^2 + 
   24*z^4 + (4*z^4)/a^4 - (20*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 15*z^6 + 
   z^6/a^4 - (11*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31351] -> 
  4 - a^(-4) - 2*a^2 + 10*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   3*a^4*z^2 + 12*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31352] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - (6*z^2)/a^8 + (16*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (12*z^6)/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 31353] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - 
   (24*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (27*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31354] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (19*z^4)/a^4 - (23*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (26*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 31355] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 3/a^4 + 3/a^2 - (3*z^2)/a^12 + 
   (14*z^2)/a^10 - (18*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   z^4/a^12 + (13*z^4)/a^10 - (27*z^4)/a^8 + (19*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 31356] -> -a^(-18) + 6/a^16 - 12/a^14 + 5/a^12 + 
   3/a^10 - (3*z^2)/a^18 + (24*z^2)/a^16 - (63*z^2)/a^14 + (44*z^2)/a^12 + 
   (13*z^2)/a^10 - z^4/a^18 + (19*z^4)/a^16 - (80*z^4)/a^14 + (83*z^4)/a^12 + 
   (22*z^4)/a^10 + (4*z^6)/a^16 - (38*z^6)/a^14 + (65*z^6)/a^12 + 
   (18*z^6)/a^10 - (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + 
   (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 31357] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31358] -> -a^(-18) + 6/a^16 - 12/a^14 + 6/a^12 + 
   a^(-10) + a^(-8) - z^2/a^18 + (10*z^2)/a^16 - (27*z^2)/a^14 + 
   (10*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 + (4*z^4)/a^16 - 
   (22*z^4)/a^14 + (14*z^4)/a^12 + (31*z^4)/a^10 + (6*z^4)/a^8 - 
   (6*z^6)/a^14 + (11*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 31359] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 + 13*z^2 - 56*a^2*z^2 + 78*a^4*z^2 - 
   29*a^6*z^2 + 16*z^4 - 84*a^2*z^4 + 123*a^4*z^4 - 39*a^6*z^4 + 7*z^6 - 
   55*a^2*z^6 + 96*a^4*z^6 - 25*a^6*z^6 + z^8 - 17*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 31360] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 - 9*z^2 + 
   (4*z^2)/a^2 - 10*a^2*z^2 + 35*a^4*z^2 - 15*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + a^2*z^4 + 38*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31361] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 - 9*z^2 + (4*z^2)/a^2 - 7*a^2*z^2 + 28*a^4*z^2 - 
   12*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 + 29*a^4*z^4 - 11*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 9*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31362] -> -a^(-12) + 2/a^10 + a^(-8) - 3/a^6 - 
   a^(-4) + 3/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + (2*z^2)/a^8 - 
   (18*z^2)/a^6 + (7*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (6*z^4)/a^8 - 
   (27*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (8*z^6)/a^8 - 
   (16*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 31363] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 - (2*z^2)/a^12 + (10*z^2)/a^10 - (19*z^2)/a^8 + (20*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (26*z^4)/a^8 + 
   (25*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (16*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 31364] -> 
  1 - a^(-12) + 2/a^10 + a^(-8) - 3/a^6 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 + (3*z^2)/a^8 - (9*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - z^4/a^8 - (12*z^4)/a^6 - (9*z^4)/a^4 - (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 31365] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 11*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (21*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (15*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31366] -> 
  -4 + a^(-2) + 4*a^2 + 3*a^4 - 3*a^6 - 23*z^2 + (6*z^2)/a^2 + 19*a^2*z^2 + 
   13*a^4*z^2 - 10*a^6*z^2 - 28*z^4 + (5*z^4)/a^2 + 27*a^2*z^4 + 22*a^4*z^4 - 
   12*a^6*z^4 - 13*z^6 + z^6/a^2 + 19*a^2*z^6 + 18*a^4*z^6 - 6*a^6*z^6 - 
   2*z^8 + 7*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31367] -> -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 7*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 14*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 16*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31368] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 7*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 16*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 17*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31369] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 23*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (23*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 31*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (27*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 31370] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 + 13*z^2 - 56*a^2*z^2 + 78*a^4*z^2 - 
   29*a^6*z^2 + 16*z^4 - 84*a^2*z^4 + 123*a^4*z^4 - 39*a^6*z^4 + 7*z^6 - 
   55*a^2*z^6 + 96*a^4*z^6 - 25*a^6*z^6 + z^8 - 17*a^2*z^8 + 42*a^4*z^8 - 
   8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 31371] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 - 9*z^2 + 
   (4*z^2)/a^2 - 10*a^2*z^2 + 35*a^4*z^2 - 15*a^6*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + a^2*z^4 + 38*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31372] -> 
  -2 + 5*a^2 - 3*a^6 + a^8 - 7*z^2 + 21*a^2*z^2 - 9*a^4*z^2 - 7*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 25*a^2*z^4 - 17*a^4*z^4 - 13*a^6*z^4 + 8*a^8*z^4 - 
   z^6 + 12*a^2*z^6 - 14*a^4*z^6 - 13*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31373] -> -2 + 4*a^2 + a^4 - 2*a^6 - 17*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 + 15*a^4*z^4 - 9*a^6*z^4 - 11*z^6 + z^6/a^2 + 16*a^2*z^6 + 
   14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31374] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 - 9*z^2 + (4*z^2)/a^2 - 7*a^2*z^2 + 28*a^4*z^2 - 
   12*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 4*a^2*z^4 + 29*a^4*z^4 - 11*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 9*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31375] -> -2 + 6*a^2 - 3*a^4 + 2*z^2 - (2*z^2)/a^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31376] -> -1 - 2/a^4 + 5/a^2 - 3*a^2 + 2*a^4 - 
   15*z^2 - (5*z^2)/a^4 + (20*z^2)/a^2 - 8*a^2*z^2 + 7*a^4*z^2 - 23*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 - 15*a^2*z^4 + 9*a^4*z^4 - 16*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 31377] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + 
   (15*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (21*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (15*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 31378] -> 
  -1 - 2/a^4 + 4/a^2 + 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31379] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 13*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (14*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31380] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 13*z^2 + z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31381] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 31382] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 8*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 31383] -> 
  2 - a^(-2) + 2*a^4 - 3*a^6 + a^8 + 8*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 8*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 4*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 31384] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 6*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + 7*z^4 + z^4/a^4 - (7*z^4)/a^2 + 
   2*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31385] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 + 
   z^2/a^2 - 2*a^4*z^2 + a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 31386] -> 1 - a^(-6) + 2/a^4 - 3*a^2 + 2*a^4 + z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 31387] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   9*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - 4*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 31388] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 31389] -> 4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31390] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + a^6*z^2 - (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 31391] -> 
  a^6 + 2*a^10 - a^12 - a^14 + 7*a^6*z^2 - a^8*z^2 + 6*a^10*z^2 + 
   7*a^12*z^2 - 6*a^14*z^2 + 11*a^6*z^4 - 7*a^8*z^4 + 4*a^10*z^4 + 
   17*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 11*a^8*z^6 - 5*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 31392] -> 
  a^6 + a^8 - a^14 + 2*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 5*a^10*z^2 + 
   3*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 5*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 31393] -> a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 
   2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 
   3*a^4*z^4 + a^6*z^4 - a^8*z^4 + 5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 31394] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 
   z^2 + 7*a^2*z^2 - 14*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 9*a^2*z^4 - 20*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31395] -> 
  -2/a^14 + 5/a^12 - 2/a^10 - 6/a^8 + 6/a^6 - (7*z^2)/a^14 + (25*z^2)/a^12 - 
   (19*z^2)/a^10 - (11*z^2)/a^8 + (17*z^2)/a^6 - (5*z^4)/a^14 + 
   (35*z^4)/a^12 - (39*z^4)/a^10 - (12*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (35*z^6)/a^10 - (12*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 31396] -> -a^(-14) + 2/a^12 - a^(-10) - 
   2/a^6 + 3/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (7*z^2)/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (12*z^4)/a^10 - 
   (7*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 31397] -> -2/a^14 + 5/a^12 - 3/a^10 - 
   2/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + (12*z^2)/a^12 - (6*z^2)/a^10 - 
   (8*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (8*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31398] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 31399] -> -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31400] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 13*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   8*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 31401] -> a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 4*a^10 - 
   3*a^12 + 6*a^2*z^2 - 11*a^4*z^2 + 17*a^6*z^2 - 14*a^8*z^2 + 16*a^10*z^2 - 
   4*a^12*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 21*a^6*z^4 - 25*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 31402] -> a^2 - 2*a^4 + 3*a^6 - a^8 + 2*a^10 - 
   2*a^12 + 2*z^2 - a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 - 2*a^4*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 31403] -> a^2 - 2*a^4 + 3*a^6 - a^12 + 2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 31404] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 
   22*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 27*a^4*z^4 + 
   27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31405] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 18*a^2*z^2 - 22*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 26*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31406] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 
   23*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 15*a^2*z^4 - 29*a^4*z^4 + 
   26*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 18*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31407] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   2*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31408] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31409] -> 1 - a^4 + 2*a^6 - a^8 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 31410] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31411] -> 
  -1 + 4*a^2 - 2*a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 23*z^4 - z^4/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31412] -> -1 + 2*a^2 - a^4 + 4*a^6 - 3*a^8 - 3*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 2*z^4 + a^2*z^4 - 
   4*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 6*a^2*z^6 - 7*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 31413] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 + 3*a^2*z^2 - 11*a^4*z^2 + 
   13*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 19*a^4*z^4 + 
   18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31414] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 
   z^4/a^4 + z^4/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31415] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 - z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 
   3*a^8*z^2 + 2*z^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31416] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 11*z^2 + z^2/a^4 + 13*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31417] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31418] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31419] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31420] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 
   13*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 
   23*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 15*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31421] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31422] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 9*a^2*z^2 - 
   12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 
   16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31423] -> 3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 
   10*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31424] -> 2/a^2 - 4*a^2 + 3*a^4 + 11*z^2 - 
   29*a^2*z^2 + 13*a^4*z^2 + 40*z^4 - (12*z^4)/a^2 - 57*a^2*z^4 + 
   16*a^4*z^4 + 51*z^6 - (16*z^6)/a^2 - 46*a^2*z^6 + 7*a^4*z^6 + 31*z^8 - 
   (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 31425] -> 1 + a^(-4) - 4*a^2 + 3*a^4 + 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 20*a^2*z^4 + 5*a^4*z^4 + 8*z^6 - (4*z^6)/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 31426] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 
   3*a^2*z^2 + 21*a^4*z^2 - 32*a^6*z^2 + 13*a^8*z^2 - 16*a^2*z^4 + 
   52*a^4*z^4 - 61*a^6*z^4 + 16*a^8*z^4 - 17*a^2*z^6 + 57*a^4*z^6 - 
   47*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 31427] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 7*a^4*z^2 - 
   16*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 4*a^2*z^4 + 9*a^4*z^4 - 21*a^6*z^4 + 
   5*a^8*z^4 - 4*z^6 + 8*a^2*z^6 + 9*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31428] -> 2/a^2 - 3*a^2 + a^4 + a^6 + 7*z^2 - 
   z^2/a^2 - 14*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 16*z^4 - (7*z^4)/a^2 - 
   12*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 31429] -> 1 + a^(-4) - 3*a^2 + a^4 + a^6 + 
   z^2 - z^2/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31430] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + 4*a^6*z^2 + 
   20*a^8*z^2 - 27*a^10*z^2 + 10*a^12*z^2 - 8*a^6*z^4 + 48*a^8*z^4 - 
   54*a^10*z^4 + 15*a^12*z^4 - 15*a^6*z^6 + 53*a^8*z^6 - 45*a^10*z^6 + 
   7*a^12*z^6 - 7*a^6*z^8 + 31*a^8*z^8 - 16*a^10*z^8 + a^12*z^8 - a^6*z^10 + 
   9*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 31431] -> 
  a^4 + 3*a^8 - 4*a^10 + a^12 + 3*a^4*z^2 + 2*a^6*z^2 + 9*a^8*z^2 - 
   14*a^10*z^2 + 6*a^12*z^2 - 2*a^4*z^4 + 4*a^6*z^4 + 9*a^8*z^4 - 
   19*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 7*a^6*z^6 + 8*a^8*z^6 - 
   11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 31432] -> 
  3*a^6 - 3*a^10 + a^12 + a^4*z^2 + 8*a^6*z^2 + 4*a^8*z^2 - 13*a^10*z^2 + 
   6*a^12*z^2 - 3*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 19*a^10*z^4 + 
   5*a^12*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 8*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 31433] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 + a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 5*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 - 2*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 31434] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   6*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 16*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31435] -> 
  1 + a^2 - 3*a^6 + 2*a^8 + z^2 - a^2*z^2 + 3*a^4*z^2 - 11*a^6*z^2 + 
   5*a^8*z^2 - 2*z^4 + a^2*z^4 + 5*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 
   5*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31436] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 + 
   2*a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 9*a^10*z^2 + 4*a^12*z^2 - a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 
   5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 31437] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - z^2/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31438] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 + (6*z^2)/a^6 - (17*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^8 - (15*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31439] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^8 - 
   (5*z^2)/a^4 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31440] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 12*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31441] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31442] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 + 2*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 - z^4/a^2 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31443] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 31444] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (9*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31445] -> 3 - a^(-2) - a^2 + 2*a^2*z^2 - a^4*z^2 - 
   5*z^4 + z^4/a^4 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31446] -> 
  -a^(-4) + 2/a^2 - 7*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31447] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31448] -> 
  -1 - a^(-6) + 2/a^4 + a^2 + z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 + 4*z^4 + z^4/a^6 - (8*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 31449] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 
   2/a^2 + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + z^4/a^8 - (6*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31450] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31451] -> -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 - z^2/a^2 + 
   16*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 15*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31452] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^4 - 
   z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31453] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 - (4*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31454] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (7*z^4)/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31455] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31456] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (14*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31457] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + 
   (2*z^2)/a^12 - (14*z^2)/a^10 + (14*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (13*z^4)/a^10 + (19*z^4)/a^8 + (15*z^4)/a^6 - 
   (3*z^4)/a^2 - (4*z^6)/a^10 + (12*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31458] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 4*a^2*z^2 + 
   9*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 
   23*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 31459] -> -2/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^12 - (4*z^2)/a^10 + (8*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31460] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (5*z^2)/a^12 - (26*z^2)/a^10 + 
   (28*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (31*z^4)/a^10 + 
   (45*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (34*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31461] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (2*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (6*z^4)/a^8 + (19*z^4)/a^6 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31462] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (4*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + (8*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31463] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - 5*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 20*a^4*z^2 - 9*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   26*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31464] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 31465] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   z^2/a^4 - a^2*z^2 - (3*z^4)/a^8 + (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 31466] -> 1 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31467] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (20*z^2)/a^4 - 8*z^4 + (3*z^4)/a^8 - (23*z^4)/a^6 + (32*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + (28*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 31468] -> 
  -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (18*z^2)/a^8 - 
   (22*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (24*z^4)/a^8 - 
   (35*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (29*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31469] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 4*z^2 - 
   (5*z^2)/a^6 + (28*z^2)/a^4 - (31*z^2)/a^2 + 9*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^6 + (34*z^4)/a^4 - (50*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (17*z^6)/a^4 - (38*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 31470] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (7*z^2)/a^10 + (27*z^2)/a^8 - (25*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (34*z^4)/a^8 - (41*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (17*z^6)/a^8 - (33*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 31471] -> 2/a^12 - 7/a^10 + 4/a^8 + 
   3/a^6 - a^(-4) + (5*z^2)/a^12 - (28*z^2)/a^10 + (31*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (34*z^4)/a^10 + (53*z^4)/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + (39*z^6)/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 31472] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (12*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31473] -> 
  -2*a^2 + 8*a^4 - 6*a^6 + a^8 - 3*z^2 + 5*a^2*z^2 + 14*a^4*z^2 - 
   21*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 4*a^4*z^4 - 30*a^6*z^4 + 
   12*a^8*z^4 - z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31474] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - z^2/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31475] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 31476] -> 
  -a^(-18) + 6/a^16 - 12/a^14 + 5/a^12 + 3/a^10 - z^2/a^18 + (12*z^2)/a^16 - 
   (37*z^2)/a^14 + (22*z^2)/a^12 + (17*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^4)/a^16 - (33*z^4)/a^14 + (34*z^4)/a^12 + (28*z^4)/a^10 + 
   (5*z^4)/a^8 - (9*z^6)/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 31477] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - (4*z^2)/a^14 + (21*z^2)/a^12 - 
   (34*z^2)/a^10 + (16*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + 
   (29*z^4)/a^12 - (47*z^4)/a^10 + (13*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (34*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 31478] -> -a^(-10) + 5/a^8 - 8/a^6 + 4/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (15*z^2)/a^8 - (19*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (21*z^4)/a^8 - (29*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (25*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 31479] -> 2 - 7*a^2 + 11*a^4 - 5*a^6 + 
   z^2 + (2*z^2)/a^2 - 21*a^2*z^2 + 34*a^4*z^2 - 12*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 17*a^2*z^4 + 36*a^4*z^4 - 11*a^6*z^4 - 7*z^6 + z^6/a^2 - 
   2*a^2*z^6 + 19*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31480] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 + z^2/a^14 - (9*z^2)/a^12 + 
   (19*z^2)/a^10 - (19*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 - (4*z^4)/a^12 + 
   (20*z^4)/a^10 - (29*z^4)/a^8 + (26*z^4)/a^6 - (5*z^4)/a^4 + (6*z^6)/a^10 - 
   (18*z^6)/a^8 + (17*z^6)/a^6 - (4*z^6)/a^4 - (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^6, Knot[15, Alternating, 31481] -> 
  -a^(-8) + 2/a^6 + 2/a^4 - 4/a^2 + 2*a^2 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - (16*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 - (22*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 31482] -> -a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + 
   a^(-4) + 2/a^2 - (3*z^2)/a^12 + (10*z^2)/a^10 + z^2/a^8 - (15*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (5*z^4)/a^8 - 
   (22*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 31483] -> -1 + a^(-10) - 4/a^8 + 4/a^6 - 
   2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - 
   (16*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (29*z^4)/a^6 - (25*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 31484] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 - 8*a^2*z^2 + 
   6*a^4*z^2 - 11*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (10*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 31485] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (16*z^4)/a^8 - (2*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31486] -> -2 + 7*a^2 - 5*a^4 + a^6 - 19*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 24*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 31487] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   10*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31488] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31489] -> -1 + a^(-2) + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31490] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 - z^4/a^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 31491] -> 
  1 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31492] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 31493] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (17*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 31494] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31495] -> -a^(-8) + a^(-6) + a^(-2) - 7*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31496] -> 
  -2 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31497] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^12 + 
   (12*z^2)/a^10 - (13*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (12*z^4)/a^10 - (21*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 31498] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31499] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 12*z^4 - z^4/a^6 + (6*z^4)/a^4 - 2*a^2*z^4 + 
   3*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 31500] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (2*z^2)/a^12 + (3*z^2)/a^10 + 
   (6*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (6*z^4)/a^10 + (3*z^4)/a^8 - (13*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 31501] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 31502] -> 
  2 - a^(-2) + a^2 - 2*a^6 + a^8 + 3*z^2 - z^2/a^4 + z^2/a^2 - a^4*z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 + z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 31503] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31504] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - z^4/a^4 + (2*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31505] -> 2 - 2*a^2 + a^4 + z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31506] -> 
  2 + a^(-4) - 2/a^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31507] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 23*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 - 
   (8*z^4)/a^6 + (12*z^4)/a^4 + (16*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31508] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 
   7*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (12*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 31509] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 12*a^4*z^2 + 
   5*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31510] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 31511] -> 1 - a^2 + 2*a^4 - a^6 - a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 31512] -> 
  a^2 + a^4 - a^6 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 31513] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 2/a^4 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (9*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - (12*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31514] -> a^6 + a^10 + a^12 - 2*a^14 + 5*a^6*z^2 + 
   4*a^8*z^2 + a^10*z^2 + 11*a^12*z^2 - 7*a^14*z^2 + 8*a^6*z^4 + 2*a^8*z^4 - 
   2*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 6*a^8*z^6 - 
   7*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 31515] -> 
  a^6 + a^8 - a^10 + 2*a^12 - 2*a^14 + a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 + 
   2*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 
   3*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 31516] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 
   4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31517] -> 
  2*a^6 - 3*a^8 + 5*a^10 - 2*a^12 - a^14 + 9*a^6*z^2 - 7*a^8*z^2 + 
   11*a^10*z^2 + 6*a^12*z^2 - 6*a^14*z^2 + 12*a^6*z^4 - 11*a^8*z^4 + 
   6*a^10*z^4 + 17*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 12*a^8*z^6 - 
   5*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 31518] -> 
  3*a^6 - 4*a^8 + 5*a^10 - 3*a^12 + 4*a^2*z^2 - 7*a^4*z^2 + 18*a^6*z^2 - 
   18*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 
   23*a^6*z^4 - 27*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 
   15*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 31519] -> 2*a^6 - 2*a^8 + 3*a^10 - a^12 - 
   a^14 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 7*a^10*z^2 + 3*a^12*z^2 - 
   3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 + 5*a^10*z^4 + 6*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 31520] -> 
  2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + 
   8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 31521] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   13*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 
   12*z^4 + z^4/a^2 + 25*a^2*z^4 - 26*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 15*a^2*z^6 - 16*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31522] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 19*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 24*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   27*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31523] -> -7 - a^(-8) + 3/a^6 - 3/a^4 + 5/a^2 + 
   4*a^2 - 19*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (22*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (15*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 31524] -> a^(-4) - 2*a^2 + 2*a^4 + 2*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31525] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   10*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 31526] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31527] -> a^2 - 2*a^4 + 4*a^6 - 3*a^8 + 3*a^10 - 
   2*a^12 + 2*z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - 
   13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 31528] -> 
  a^4 - a^6 + a^8 + 2*a^10 - a^12 - a^14 + 4*a^4*z^2 + 9*a^10*z^2 + 
   2*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 7*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 31529] -> a^4 + 2*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 + 
   5*a^4*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 31530] -> 
  a^4 - a^6 + 2*a^8 - a^14 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 + 
   4*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 
   a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 31531] -> a^4 - a^6 + 2*a^8 + a^10 - 
   2*a^12 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - a^8*z^4 + 
   4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 31532] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + 
   3*z^2 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 
   3*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31533] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 31534] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 
   4*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 
   13*a^4*z^4 + 5*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31535] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 
   3*a^2*z^2 - 4*a^4*z^2 + 14*a^6*z^2 - 14*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 15*a^4*z^4 + 22*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31536] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 
   2*a^10*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 31537] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + 
   a^6 - 15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 31538] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + z^4/a^2 + 18*a^2*z^4 - 21*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31539] -> 3*a^6 - a^8 - a^10 + 2*a^2*z^2 - 5*a^4*z^2 + 
   10*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 + 
   12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 31540] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 31541] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31542] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 7*z^2 + 
   18*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 31543] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - 
   4*z^2 + 12*a^2*z^2 - 4*a^4*z^2 - 13*a^6*z^2 + 7*a^8*z^2 - 8*z^4 + 
   17*a^2*z^4 - 20*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 7*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31544] -> 
  1 + a^2 - 3*a^6 + 2*a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 + z^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 31545] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + 3*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 
   9*a^10*z^2 + 4*a^12*z^2 + 2*a^6*z^4 + 5*a^8*z^4 - 13*a^10*z^4 + 
   4*a^12*z^4 - 3*a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 31546] -> 2*a^4 - 2*a^10 + a^12 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 31547] -> 
  -5 + 3/a^2 + 3*a^2 - 12*z^2 + z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + z^4/a^4 - z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31548] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (20*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (18*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31549] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 + (6*z^2)/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31550] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31551] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31552] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31553] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^6 - z^2/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31554] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 31555] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31556] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^8 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + z^4/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 31557] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31558] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - z^2 + 
   z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   z^4 - (3*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 31559] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 31560] -> a^(-12) - 5/a^10 + 4/a^8 + 
   a^(-6) + (2*z^2)/a^12 - (15*z^2)/a^10 + (19*z^2)/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + (31*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (25*z^6)/a^8 + (6*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 31561] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 25*z^2 - (5*z^2)/a^2 - 33*a^2*z^2 + 
   13*a^4*z^2 + 41*z^4 - (6*z^4)/a^2 - 67*a^2*z^4 + 24*a^4*z^4 + 33*z^6 - 
   (4*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 31562] -> -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (17*z^2)/a^12 - (26*z^2)/a^10 + (12*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (35*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (28*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 31563] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + (3*z^2)/a^16 - (21*z^2)/a^14 + 
   (13*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (17*z^4)/a^14 + 
   (28*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 31564] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 18*z^2 - (6*z^2)/a^6 + (31*z^2)/a^4 - 
   (45*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + (52*z^4)/a^4 - (83*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 31565] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 
   21*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31566] -> 
  -5*a^2 + 13*a^4 - 7*a^6 + 4*z^2 - 34*a^2*z^2 + 65*a^4*z^2 - 27*a^6*z^2 + 
   8*z^4 - 58*a^2*z^4 + 111*a^4*z^4 - 38*a^6*z^4 + 5*z^6 - 43*a^2*z^6 + 
   93*a^4*z^6 - 25*a^6*z^6 + z^8 - 15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 31567] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 47*z^2 + 
   (4*z^2)/a^4 - (28*z^2)/a^2 - 19*a^2*z^2 + 81*z^4 + (6*z^4)/a^4 - 
   (44*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - (34*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 31568] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 10*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 27*a^4*z^2 - 
   14*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 35*a^4*z^4 - 14*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 10*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31569] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + (6*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 19*z^4 + z^4/a^4 + (4*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31570] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 12*z^2 + 
   (5*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 5*z^6 - z^6/a^2 + 9*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 2*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 31571] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31572] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - z^2/a^6 - z^2/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31573] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 31574] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 26*z^2 + 
   (4*z^2)/a^4 - (20*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 40*z^4 + 
   (4*z^4)/a^4 - (28*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 32*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 31575] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 14*z^2 + z^2/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 17*z^4 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 31576] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (13*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (15*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31577] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 31578] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31579] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 4*z^2 + (7*z^2)/a^8 - (29*z^2)/a^6 + 
   (32*z^2)/a^4 - (4*z^2)/a^2 - 8*z^4 + (5*z^4)/a^8 - (37*z^4)/a^6 + 
   (50*z^4)/a^4 - 5*z^6 + z^6/a^8 - (18*z^6)/a^6 + (38*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 31580] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 3*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (11*z^4)/a^6 + 
   (6*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 31581] -> 2/a^8 - 6/a^6 + 5/a^4 - 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (9*z^2)/a^6 + (15*z^2)/a^4 - (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 - z^4/a^6 + (18*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 31582] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 31583] -> 
  8 - 2/a^2 - 7*a^2 + a^4 + a^6 + 32*z^2 - (7*z^2)/a^2 - 35*a^2*z^2 + 
   a^4*z^2 + 7*a^6*z^2 + 40*z^4 - (5*z^4)/a^2 - 56*a^2*z^4 - 6*a^4*z^4 + 
   11*a^6*z^4 + 19*z^6 - z^6/a^2 - 42*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 + 
   3*z^8 - 15*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - 2*a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 31584] -> 3 - a^(-6) + 6/a^4 - 8/a^2 + a^2 + 2*z^2 - 
   (4*z^2)/a^6 + (22*z^2)/a^4 - (29*z^2)/a^2 + 5*a^2*z^2 - 4*z^4 - 
   (4*z^4)/a^6 + (29*z^4)/a^4 - (43*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (33*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 31585] -> 6 - a^(-2) - 6*a^2 + a^4 + a^6 + 8*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 20*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - z^4 - 
   z^4/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 - 14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 31586] -> 3 + 4/a^4 - 7/a^2 + a^2 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - (18*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (19*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 31587] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 2*z^2 + 
   4*a^2*z^2 + 10*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 
   3*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 31588] -> 
  3 - a^(-4) + 2/a^2 - 5*a^2 + a^4 + a^6 + 3*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 - 17*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 4*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 - 22*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31589] -> 1 - a^(-4) + 3/a^2 - 4*a^2 + a^4 + a^6 - 
   4*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 8*a^2*z^4 + a^6*z^4 - 
   5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 31590] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 + z^2 - z^2/a^2 + 5*a^2*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 31591] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (7*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31592] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 
   6*a^2*z^2 + 12*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 
   8*a^4*z^4 - 21*a^6*z^4 + 8*a^8*z^4 - z^6 + 9*a^2*z^6 - 2*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 31593] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - z^2/a^2 + 8*a^2*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 31594] -> 
  -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (16*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (31*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31595] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 39*z^2 + 
   (8*z^2)/a^4 - (31*z^2)/a^2 - 14*a^2*z^2 + 72*z^4 + (10*z^4)/a^4 - 
   (52*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 31596] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 23*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (19*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 31*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31597] -> -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + 
   17*a^2*z^2 - 12*a^6*z^2 + 6*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 4*a^4*z^4 - 
   20*a^6*z^4 + 9*a^8*z^4 - z^6 + 11*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 31598] -> -2 + 6*a^2 - 3*a^4 - 
   (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 11*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31599] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 54*z^2 + 
   (11*z^2)/a^4 - (43*z^2)/a^2 - 19*a^2*z^2 + 88*z^4 + (13*z^4)/a^4 - 
   (65*z^4)/a^2 - 28*a^2*z^4 + 74*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 31600] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - z^2/a^14 - (5*z^2)/a^12 + 
   (15*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (2*z^4)/a^12 + (14*z^4)/a^10 - (15*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31601] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (2*z^2)/a^10 + (15*z^2)/a^6 - 
   (16*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (3*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31602] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - z^2/a^14 - (3*z^2)/a^12 + 
   (5*z^2)/a^10 + (7*z^2)/a^6 - (3*z^4)/a^14 + (7*z^4)/a^12 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 31603] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + 
   3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 - 
   12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 31604] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 + 14*a^4*z^2 - 9*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 + 22*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31605] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31606] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 31607] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 11*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (21*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (29*z^4)/a^4 + (26*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 31608] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 3*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + z^4/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 31609] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 31610] -> 
  -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 11*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - 20*z^4 - z^4/a^4 + (12*z^4)/a^2 + 
   8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31611] -> -3 - a^(-4) + 4/a^2 + a^2 - a^4 + a^6 - 
   8*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 31612] -> -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 2*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 12*a^2*z^4 - 19*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 31613] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (15*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31614] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 6*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 31615] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (5*z^2)/a^10 - 
   (12*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - (2*z^4)/a^10 - 
   (8*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 31616] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (16*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31617] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31618] -> 
  2 - a^(-2) + a^4 - a^6 + 6*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 + 2*a^8*z^2 + 7*z^4 - z^4/a^2 + 2*a^2*z^4 - 10*a^4*z^4 - 
   2*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 31619] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 31620] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 - 4*a^4*z^2 + a^6*z^2 + a^8*z^2 + 
   3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 31621] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 3*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + 
   (4*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 31622] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - 
   a^2 + 7*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 - 6*a^2*z^2 + 
   15*z^4 + (4*z^4)/a^6 - (22*z^4)/a^4 + (19*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 31623] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^4 - 8*a^2*z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 31624] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 31625] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 
   3*z^2 - z^2/a^10 - (4*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + (20*z^4)/a^6 - 
   (12*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (12*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31626] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 11*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 20*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31627] -> 
  a^6 + 3*a^10 - 3*a^12 + 7*a^6*z^2 - 2*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 - 
   2*a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 + 13*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 31628] -> 
  4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 19*a^6*z^2 - 
   22*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   25*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 
   16*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 31629] -> -2/a^14 + 5/a^12 - 3/a^10 - 
   4/a^8 + 5/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - (12*z^2)/a^10 - 
   (9*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - 
   (19*z^4)/a^10 - (15*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (13*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31630] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 2/a^4 - z^2/a^14 + (7*z^2)/a^12 - 
   (2*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 31631] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (6*z^2)/a^10 + (13*z^2)/a^8 + (3*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   (8*z^4)/a^10 + (18*z^4)/a^8 + (6*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31632] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31633] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 9*z^2 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31634] -> 1 + 3*z^2 - z^2/a^4 - a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31635] -> -1 + 3*a^2 - 3*a^4 + 5*a^6 - 3*a^8 - 4*z^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 15*a^4*z^4 + 20*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31636] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31637] -> a^2 - 2*a^4 + 5*a^6 - 4*a^8 + 2*a^10 - 
   a^12 + 4*a^2*z^2 - 7*a^4*z^2 + 14*a^6*z^2 - 13*a^8*z^2 + 11*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 15*a^6*z^4 - 20*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 31638] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 
   2*a^2*z^2 + 8*a^6*z^2 - 12*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 
   3*a^2*z^4 - 8*a^4*z^4 + 12*a^6*z^4 - 21*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 31639] -> 
  a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + a^2*z^2 - a^4*z^2 + 
   4*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   2*a^4*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 31640] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 
   4*z^2 + z^2/a^2 + 11*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31641] -> 
  2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31642] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31643] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 - 6*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31644] -> a^2 - 2*a^4 + 4*a^6 - 3*a^8 + 3*a^10 - 
   2*a^12 + 4*a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 - 13*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 14*a^6*z^4 - 21*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 31645] -> a^2 - 2*a^4 + 4*a^6 - 2*a^8 + a^10 - a^12 + 
   z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 31646] -> -6 + 2/a^6 - 3/a^4 + 3/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 27*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 31647] -> 
  1 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 + a^2 - 2*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 31648] -> 
  -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 31649] -> a^4 - a^6 + a^8 + 3*a^10 - 
   3*a^12 + 4*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 10*a^10*z^2 - 2*a^12*z^2 - 
   2*a^14*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 9*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 31650] -> 
  a^4 - a^6 + 2*a^8 + a^10 - 2*a^12 + a^2*z^2 + 2*a^4*z^2 + 4*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 
   4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 31651] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31652] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 + 8*a^8*z^2 - 
   5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31653] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 
   7*a^2*z^2 - 18*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 26*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31654] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31655] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 16*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31656] -> 
  -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31657] -> 4*a^2 - 4*a^4 + a^6 - a^8 + a^10 - 2*z^2 + 
   10*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   12*a^2*z^4 - 21*a^4*z^4 + 16*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31658] -> 
  1 + 2*a^2 - 3*a^4 + a^6 - a^8 + a^10 - z^2 + 7*a^2*z^2 - 15*a^4*z^2 + 
   11*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 20*a^4*z^4 + 
   18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31659] -> 2*a^2 - a^4 - 3*z^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31660] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 16*a^6*z^2 - 
   16*a^8*z^2 + 5*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 16*a^6*z^4 - 
   15*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 31661] -> 5*a^6 - 5*a^8 + a^10 + a^2*z^2 - 3*a^4*z^2 + 
   16*a^6*z^2 - 13*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 
   20*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31662] -> 4*a^2 - 3*a^4 - 2*a^6 + 2*a^8 - 3*z^2 + 
   11*a^2*z^2 - 8*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 14*a^2*z^4 - 
   4*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 31663] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 + 
   11*a^6*z^2 - 2*a^8*z^2 - 8*a^10*z^2 + 4*a^12*z^2 - 2*a^4*z^4 + 9*a^6*z^4 + 
   2*a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 31664] -> 
  1 + 3*a^4 - 6*a^6 + 3*a^8 + 6*a^4*z^2 - 15*a^6*z^2 + 6*a^8*z^2 - 3*z^4 + 
   3*a^2*z^4 + 7*a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 
   7*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31665] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31666] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + z^4/a^6 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 31667] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   2*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31668] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 31669] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 2*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 31670] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31671] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 5*z^2 + 5*a^2*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 31672] -> 
  3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + (5*z^2)/a^16 - (29*z^2)/a^14 + 
   (22*z^2)/a^12 + (15*z^2)/a^10 + (2*z^2)/a^8 - (24*z^4)/a^14 + 
   (38*z^4)/a^12 + (25*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + 
   (26*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 31673] -> 
  3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + (3*z^2)/a^16 - (27*z^2)/a^14 + 
   (24*z^2)/a^12 + (13*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (21*z^4)/a^14 + 
   (41*z^4)/a^12 + (24*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (27*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 31674] -> 
  4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + (6*z^2)/a^16 - (40*z^2)/a^14 + 
   (38*z^2)/a^12 + (11*z^2)/a^10 - (2*z^4)/a^16 - (37*z^4)/a^14 + 
   (71*z^4)/a^12 + (21*z^4)/a^10 - (4*z^6)/a^16 - (8*z^6)/a^14 + 
   (59*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + (22*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 31675] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (14*z^2)/a^14 + (4*z^2)/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (10*z^4)/a^14 + (18*z^4)/a^12 + (31*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 31676] -> 6 - 2/a^2 - 4*a^2 + a^4 + 27*z^2 - 
   (7*z^2)/a^2 - 30*a^2*z^2 + 11*a^4*z^2 + 48*z^4 - (9*z^4)/a^2 - 
   66*a^2*z^4 + 23*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 31677] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 19*z^2 - (4*z^2)/a^6 + (28*z^2)/a^4 - 
   (46*z^2)/a^2 + 28*z^4 - (8*z^4)/a^6 + (48*z^4)/a^4 - (83*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 31678] -> -6*a^2 + 15*a^4 - 8*a^6 + 
   2*z^2 - 31*a^2*z^2 + 66*a^4*z^2 - 28*a^6*z^2 + 7*z^4 - 54*a^2*z^4 + 
   111*a^4*z^4 - 38*a^6*z^4 + 5*z^6 - 42*a^2*z^6 + 93*a^4*z^6 - 25*a^6*z^6 + 
   z^8 - 15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 31679] -> 
  -2 + a^2 + 7*a^4 - 5*a^6 - 7*z^2 + 3*a^2*z^2 + 26*a^4*z^2 - 14*a^6*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 35*a^4*z^4 - 14*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 10*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31680] -> 
  -3 - a^(-6) + 4/a^4 - 2/a^2 + 3*a^2 - 13*z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - 
   (12*z^2)/a^2 + 9*a^2*z^2 - 21*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - 
   (17*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 31681] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 44*z^2 + (6*z^2)/a^4 - (30*z^2)/a^2 - 
   17*a^2*z^2 + 80*z^4 + (9*z^4)/a^4 - (51*z^4)/a^2 - 27*a^2*z^4 + 72*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 31682] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31683] -> 4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 
   10*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 31684] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 7*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   5*a^2*z^2 - 13*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31685] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (9*z^4)/a^8 - (2*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31686] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31687] -> 
  2 - a^2 - a^4 + a^6 - 3*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31688] -> 
  3 - 4*a^2 + 2*a^4 + 9*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 18*a^2*z^2 + 
   7*a^4*z^2 + 6*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 + 9*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 31689] -> 4*a^4 - 4*a^6 + a^8 - z^2 + 2*a^2*z^2 + 
   10*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 5*a^4*z^4 - 
   24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 31690] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 
   z^2 + 5*a^2*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31691] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31692] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 4*z^2 + z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 + (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 31693] -> 
  a^(-2) - a^4 + a^6 + z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31694] -> 
  3 - 3*a^2 + a^6 + 6*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31695] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31696] -> 2/a^8 - 6/a^6 + 5/a^4 + (9*z^2)/a^8 - 
   (29*z^2)/a^6 + (29*z^2)/a^4 - (8*z^2)/a^2 + (12*z^4)/a^8 - (53*z^4)/a^6 + 
   (61*z^4)/a^4 - (20*z^4)/a^2 + (6*z^6)/a^8 - (42*z^6)/a^6 + (62*z^6)/a^4 - 
   (18*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (33*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 31697] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) - z^2 + 
   (5*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (14*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31698] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 31699] -> -1 + a^(-6) - 2/a^2 + 5*a^2 - 2*a^4 - 
   8*z^2 + (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31700] -> 
  2 - a^(-10) + a^(-8) + a^(-6) - 2/a^2 + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31701] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 + z^2 + 
   z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31702] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31703] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 31704] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 4*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31705] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 31706] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + 
   a^2 + a^4 - 12*z^2 + z^2/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 11*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[15, Alternating, 31707] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + 
   a^4 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 31708] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31709] -> a^(-4) - a^(-2) + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31710] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31711] -> 
  -1 + a^2 + a^4 + 3*a^6 - 3*a^8 - 2*z^2 + 2*a^2*z^2 + 2*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 - 
   5*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 31712] -> -2 + 4*a^2 - a^4 + 2*a^6 - 2*a^8 - 3*z^2 + 
   6*a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 + 
   3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31713] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 8*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31714] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 - 2*z^4 + 2*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 3*z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31715] -> 
  2 - a^2 - a^4 + a^6 + z^2 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31716] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   11*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31717] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31718] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   10*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31719] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   11*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31720] -> 
  2*a^2 + 3*a^4 - 8*a^6 + 4*a^8 - a^2*z^2 + 20*a^4*z^2 - 38*a^6*z^2 + 
   16*a^8*z^2 - 15*a^2*z^4 + 49*a^4*z^4 - 65*a^6*z^4 + 17*a^8*z^4 - 
   17*a^2*z^6 + 56*a^4*z^6 - 48*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   32*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 31721] -> 5*a^2 - 5*a^4 - a^6 + 2*a^8 - 
   2*z^2 + 11*a^2*z^2 - 10*a^4*z^2 - 10*a^6*z^2 + 7*a^8*z^2 - 7*z^4 + 
   14*a^2*z^4 - 4*a^4*z^4 - 19*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 13*a^2*z^6 + 
   6*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31722] -> 
  1 + a^2 + a^4 - 5*a^6 + 3*a^8 + z^2 + 4*a^4*z^2 - 17*a^6*z^2 + 8*a^8*z^2 - 
   4*z^4 + 3*a^2*z^4 + 7*a^4*z^4 - 22*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 
   8*a^2*z^6 + 9*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31723] -> 2 - a^4 - 2*a^6 + 2*a^8 + z^2 - 4*a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 - (2*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 31724] -> 
  5*a^6 - 4*a^8 - a^10 + a^12 - a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - 
   8*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 13*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 31725] -> 2*a^4 - 2*a^10 + a^12 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 - 2*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 31726] -> -1 + 2/a^2 - a^2 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 31727] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31728] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31729] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 8*a^4*z^2 - 12*a^6*z^2 + 6*a^8*z^2 - 
   9*a^2*z^4 + 30*a^4*z^4 - 37*a^6*z^4 + 11*a^8*z^4 - 12*a^2*z^6 + 
   39*a^4*z^6 - 35*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 
   14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 31730] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + a^2*z^4 + 6*a^4*z^4 - 
   14*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31731] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31732] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 3*a^2*z^2 + 7*a^4*z^2 - 8*a^6*z^2 + 
   3*a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 4*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 
   3*z^6 + 6*a^2*z^6 + 3*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31733] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 - z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 11*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 + z^6/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 31734] -> 
  3 - 7*a^2 + 8*a^4 - 3*a^6 + 8*z^2 - 31*a^2*z^2 + 37*a^4*z^2 - 13*a^6*z^2 + 
   17*z^4 - 58*a^2*z^4 + 62*a^4*z^4 - 16*a^6*z^4 + 17*z^6 - 58*a^2*z^6 + 
   47*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 31735] -> 
  a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 - 9*a^2*z^2 + 17*a^4*z^2 - 
   7*a^6*z^2 - 5*z^4 + (4*z^4)/a^2 - 10*a^2*z^4 + 21*a^4*z^4 - 5*a^6*z^4 - 
   8*z^6 + (4*z^6)/a^2 - 9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 31736] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 6*z^2 - 19*a^2*z^2 + 15*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 8*z^4 - 23*a^2*z^4 + 11*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 15*a^2*z^6 - a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 31737] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 2*z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31738] -> -5 - a^(-4) + 5/a^2 + 2*a^2 - a^4 + a^6 - 
   23*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   29*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   18*z^6 - z^6/a^4 + (10*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 31739] -> 
  4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   13*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31740] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 10*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^4 - (9*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31741] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   z^2/a^8 + (12*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (8*z^4)/a^8 + (11*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31742] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2 + z^2/a^12 - (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + 
   (7*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 31743] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 
   3/a^4 - a^(-2) + 2*z^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (9*z^4)/a^8 - 
   (10*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31744] -> -a^(-14) + 2/a^12 - 2/a^8 + a^(-4) + 
   a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 31745] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - 
   a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - (6*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 31746] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 10*z^2 + z^2/a^6 - (8*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 9*z^4 + z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31747] -> 
  5 - 2/a^2 - 4*a^4 + 2*a^6 + 12*z^2 - z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 + 9*z^4 - z^4/a^4 + (2*z^4)/a^2 - 9*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 + (2*z^6)/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31748] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 2/a^8 + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (15*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (14*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31749] -> 
  8 - 4/a^2 + a^2 - 7*a^4 + 3*a^6 + 22*z^2 - (8*z^2)/a^2 - a^2*z^2 - 
   21*a^4*z^2 + 10*a^6*z^2 + 25*z^4 - (5*z^4)/a^2 - 9*a^2*z^4 - 27*a^4*z^4 + 
   12*a^6*z^4 + 12*z^6 - z^6/a^2 - 12*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 31750] -> -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (10*z^2)/a^4 + (22*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + (16*z^4)/a^4 + (29*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (11*z^6)/a^6 + (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31751] -> 2 - 2/a^4 + 3/a^2 - 2*a^2 - a^4 + a^6 + 
   6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 
   3*z^4 - z^4/a^4 + (7*z^4)/a^2 - 14*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 31752] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 
   5*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31753] -> 
  -3 + 2/a^8 - 5/a^6 + 7/a^2 - 9*z^2 + (6*z^2)/a^8 - (17*z^2)/a^6 + 
   (4*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (9*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31754] -> 
  1 - 2/a^4 + 3/a^2 + a^2 - 4*a^4 + 2*a^6 + 4*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 10*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31755] -> -2 + a^(-10) - 3/a^8 + a^(-6) + 4/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (11*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 31756] -> 1 - a^(-6) + a^(-4) + a^(-2) - a^2 - a^4 + 
   a^6 - z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 31757] -> 1 - a^(-6) + 2/a^2 - a^2 + z^2 + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 31758] -> 
  3*a^2 - 3*a^4 + a^6 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31759] -> a^4 + 3*a^6 - 4*a^8 + a^10 + a^2*z^2 - 
   2*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 31760] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 31761] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31762] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31763] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 9*z^2 + z^2/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 
   a^2*z^2 - 15*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31764] -> 2/a^6 - 5/a^4 + 4/a^2 - 5*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 31765] -> -8 + 3/a^4 - 3/a^2 + 15*a^2 - 6*a^4 - 
   21*z^2 + (9*z^2)/a^4 - (12*z^2)/a^2 + 33*a^2*z^2 - 9*a^4*z^2 - 24*z^4 + 
   (10*z^4)/a^4 - (19*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31766] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 - a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 - a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31767] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 + (3*z^2)/a^8 - 
   (7*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31768] -> -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 11*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 31769] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 
   6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31770] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + 11*a^8*z^2 - 
   5*a^10*z^2 + 3*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31771] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31772] -> 2/a^10 - 7/a^8 + 6/a^6 + (2*z^2)/a^12 + 
   z^2/a^10 - (16*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (6*z^4)/a^10 - (12*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 - z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31773] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^12 + (4*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31774] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^10 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (7*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31775] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - 
   (9*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 31776] -> -2 + 4*a^2 - a^8 - 2*z^2 + 
   4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31777] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   6*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31778] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^8 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31779] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 5*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31780] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 4*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 31781] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 19*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 25*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (5*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31782] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31783] -> 
  2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31784] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 20*z^2 - (2*z^2)/a^6 + (17*z^2)/a^2 + 
   7*a^2*z^2 - 24*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   16*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 31785] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 4*z^2 - 
   z^2/a^8 + (8*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 31786] -> 4*a^2 - 3*a^4 - 2*a^6 + 2*a^8 - z^2/a^2 + 
   10*a^2*z^2 - 13*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   9*a^2*z^4 - 17*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31787] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (15*z^4)/a^8 - (8*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 - z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31788] -> -a^(-14) + 3/a^12 - a^(-10) - 4/a^8 + 
   2/a^6 + 2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (9*z^2)/a^10 - 
   (9*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (16*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31789] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31790] -> 1 - a^(-10) + 3/a^8 - 5/a^6 + 5/a^4 - 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31791] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - a^(-8) + a^(-4) + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 31792] -> 2 + a^(-8) - 5/a^6 + 6/a^4 - 2/a^2 - a^2 + 
   4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (2*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31793] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 31794] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 31795] -> -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - 
   (4*z^2)/a^14 + (21*z^2)/a^12 - (29*z^2)/a^10 + (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (29*z^4)/a^12 - (43*z^4)/a^10 + 
   (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (33*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 31796] -> 
  -a^(-14) + 6/a^12 - 11/a^10 + 7/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (12*z^2)/a^12 - (19*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (15*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31797] -> 2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 11*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 18*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31798] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 - 
   (3*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 31799] -> 
  -4 - 2/a^4 + 5/a^2 + 5*a^2 - 5*a^4 + 2*a^6 - 19*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 18*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 26*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 24*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31800] -> 
  -2 + a^(-10) - 4/a^8 + 5/a^6 - 5/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (20*z^2)/a^6 - (19*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (25*z^4)/a^6 - (26*z^4)/a^4 + (19*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 31801] -> 2 - a^(-6) + 2/a^4 - a^(-2) - a^2 - a^4 + 
   a^6 + z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 31802] -> 2 - a^(-6) + a^(-4) - a^2 + 5*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31803] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31804] -> 
  -2/a^6 + 3/a^4 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31805] -> 2 + 3/a^4 - 5/a^2 - 2*a^2 + 6*a^4 - 3*a^6 + 
   2*z^2 + (6*z^2)/a^4 - (12*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 
   2*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 31806] -> -2 + a^(-4) + 2*a^2 - 8*z^2 + 
   z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 31807] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 16*z^4 + 
   z^4/a^4 + (6*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31808] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^8 - (4*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31809] -> -2 + 2/a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + z^4/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - 
   z^6/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 31810] -> 2 - 2*a^2 + a^4 - a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - a^2*z^4 + 3*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31811] -> 2*a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 11*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 31812] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 6*a^2*z^2 - 
   5*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 3*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31813] -> 2*a^2 - a^4 + z^2 + 2*a^2*z^2 - a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 2*a^2*z^4 + a^4*z^4 - 13*a^6*z^4 + 
   4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31814] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + a^6*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 31815] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 
   2*a^10*z^2 - z^4 - a^2*z^4 - a^4*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 
   z^6 + a^2*z^6 + 4*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 31816] -> -2 + a^(-6) + a^2 + a^4 - 10*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 9*z^4 - z^4/a^6 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 31817] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31818] -> 
  1 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 31819] -> 2*a^4 - a^8 + 5*a^4*z^2 - a^6*z^2 - 
   a^10*z^2 + a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 31820] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   7*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31821] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 8*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31822] -> a^2 + a^4 - a^6 - z^2 + a^2*z^2 + 
   3*a^4*z^2 - a^8*z^2 - z^4 + z^4/a^2 - a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31823] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 31824] -> -2 + a^(-4) + 2*a^2 - 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 31825] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + (2*z^2)/a^8 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31826] -> 
  a^(-8) + a^(-6) - 6/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 + z^2/a^8 - 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 31827] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 - 
   z^2/a^10 - (10*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 - (2*z^4)/a^8 + (17*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31828] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 4*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 31829] -> 2 + a^(-8) - 2/a^4 + z^2 + 
   z^2/a^10 - (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 31830] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2 + z^2/a^12 - (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - z^4 - (3*z^4)/a^10 + 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 31831] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   15*z^2 - z^2/a^6 - (2*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31832] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   3*a^2*z^2 - 6*z^4 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 31833] -> 
  1 - 2*a^2 + 6*a^4 - 6*a^6 + 2*a^8 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   9*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 + 6*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31834] -> 4 + a^(-4) - a^(-2) - 7*a^2 + 4*a^4 + 
   5*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 
   z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 12*a^2*z^4 + 4*a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 31835] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 
   4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 + 
   5*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31836] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 31837] -> 
  3 + a^(-4) - a^(-2) - 3*a^2 - a^4 + 2*a^6 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 31838] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 31839] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - a^4*z^2 - z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 31840] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (14*z^4)/a^8 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (12*z^6)/a^8 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 31841] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   z^2/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31842] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 + 2*z^2 - 
   z^2/a^4 + 2*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 31843] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31844] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) - 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (4*z^2)/a^8 - (21*z^2)/a^6 + (7*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (4*z^4)/a^8 - (26*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 31845] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + z^2 - 
   z^2/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (11*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 31846] -> 6 + 3/a^4 - 7/a^2 - a^2 + 12*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 
   10*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 31847] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 31848] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 12*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 25*a^4*z^2 - 
   13*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 + 31*a^4*z^4 - 13*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 13*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31849] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 6*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 14*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31850] -> 9 - 3/a^2 - 6*a^2 + a^6 + 27*z^2 - 
   (7*z^2)/a^2 - 20*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 + 29*z^4 - (5*z^4)/a^2 - 
   27*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - z^6/a^2 - 19*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 31851] -> 
  4 - a^(-4) + a^(-2) - 4*a^2 + a^6 + 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   13*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   16*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31852] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 31853] -> 
  3 - 9*a^2 + 12*a^4 - 5*a^6 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   10*a^2*z^2 + 19*a^4*z^2 - 7*a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   2*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31854] -> 1 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 13*a^2*z^4 + 
   7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 31855] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 31856] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   6*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + 5*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 31857] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 
   16*z^4 - z^4/a^8 + (10*z^4)/a^6 - (25*z^4)/a^4 + (29*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31858] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 31859] -> 
  3 - 9*a^2 + 12*a^4 - 5*a^6 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   10*a^2*z^2 + 19*a^4*z^2 - 7*a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 - 
   2*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31860] -> -3 + 7*a^2 - 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 18*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 - z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 18*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 31861] -> -1 - 2/a^4 + 5/a^2 - 2*a^2 + a^6 - 2*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 12*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 16*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31862] -> -a^(-4) + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31863] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31864] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - 
   (7*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (9*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 31865] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 31866] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 5*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 31867] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (3*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 31868] -> 1 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + a^4*z^2 - 7*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 31869] -> 
  1 - a^(-2) + 2*a^2 - a^6 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 5*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 31870] -> 1 - a^(-6) + 2/a^4 - 2*a^2 + a^6 - 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 31871] -> 
  2*a^6 - a^10 + a^12 - a^14 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + 
   a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 31872] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   3*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 31873] -> 
  a^2 - 2*a^4 + 4*a^6 - 2*a^8 + a^10 - a^12 + z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 - 
   4*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 31874] -> 2*a^2 - 3*a^4 + 4*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 5*a^2*z^2 - 12*a^4*z^2 + 19*a^6*z^2 - 17*a^8*z^2 + 12*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 25*a^6*z^4 - 25*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 31875] -> 1 - a^2 + a^4 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 31876] -> -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - 8*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 31877] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31878] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31879] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 - 
   13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 22*a^6*z^4 - 
   16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 15*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31880] -> 4*a^6 - 3*a^8 + a^4*z^2 + 10*a^6*z^2 - 
   8*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 5*a^4*z^4 + 15*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 31881] -> a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + 
   4*a^4*z^2 + 2*a^6*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 31882] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 31883] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31884] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 13*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (25*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31885] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^6 - z^4/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 31886] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 31887] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31888] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 12*z^2 - 
   (6*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31889] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (14*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 - z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 31890] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - 3*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31891] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31892] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 7*a^2*z^2 - a^4*z^2 - 10*a^6*z^2 + 
   5*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 5*a^4*z^4 - 14*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31893] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 6*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 31894] -> 2 - a^(-4) + a^(-2) - a^2 + 
   7*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 31895] -> 1 - a^2 + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 8*a^4*z^2 - 4*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31896] -> 2 - 2/a^6 + 7/a^4 - 7/a^2 + a^2 + 3*z^2 - 
   (5*z^2)/a^6 + (26*z^2)/a^4 - (31*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - 
   (4*z^4)/a^6 + (31*z^4)/a^4 - (46*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 31897] -> -2/a^10 + 6/a^8 - 7/a^6 + 3/a^4 + a^(-2) - 
   (7*z^2)/a^10 + (29*z^2)/a^8 - (31*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (37*z^4)/a^8 - (50*z^4)/a^6 + (8*z^4)/a^2 - z^6/a^10 + 
   (18*z^6)/a^8 - (38*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (14*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31898] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 + 
   z^2 - (3*z^2)/a^10 + (14*z^2)/a^8 - (11*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (11*z^4)/a^6 - 
   (14*z^4)/a^4 + (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31899] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (28*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (46*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (35*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 31900] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 
   z^2 + (2*z^2)/a^2 - 16*a^2*z^2 + 22*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 13*a^2*z^4 + 23*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 - 
   a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 31901] -> 
  2 - a^(-8) + 2/a^6 + 2/a^4 - 5/a^2 + a^2 + z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (2*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 31902] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 5/a^6 + 3/a^4 + a^(-2) - (3*z^2)/a^12 + 
   (11*z^2)/a^10 - (17*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + 
   (12*z^4)/a^10 - (7*z^4)/a^8 - (24*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 31903] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (5*z^2)/a^10 + (2*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - z^4/a^8 - (11*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 31904] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (16*z^4)/a^8 - (3*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (8*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31905] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31906] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (14*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 31907] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   a^(-4) + a^(-2) - (3*z^2)/a^12 + (12*z^2)/a^10 - (12*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - 
   (20*z^4)/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (14*z^6)/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 31908] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31909] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^2 - 
   z^4/a^12 + (6*z^4)/a^10 + (3*z^4)/a^8 - (13*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 31910] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 - z^2/a^12 + z^2/a^10 + 
   (5*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 31911] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31912] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 31913] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 31914] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   6*z^2 - (4*z^2)/a^2 + 7*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 + 13*z^4 - 
   (8*z^4)/a^2 + 13*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31915] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (11*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31916] -> 
  -2 + a^(-2) + 5*a^2 - 4*a^4 + a^8 - 3*z^2 - z^2/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - (3*z^4)/a^2 + 13*a^2*z^4 - 5*a^4*z^4 - 
   7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 31917] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (9*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (15*z^4)/a^12 - (17*z^4)/a^10 - (13*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31918] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 - z^2/a^14 + (6*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 31919] -> 
  a^6 + 3*a^12 - 3*a^14 + 5*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 13*a^12*z^2 - 
   7*a^14*z^2 + 8*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + 19*a^12*z^4 - 
   5*a^14*z^4 + 5*a^6*z^6 - 6*a^8*z^6 - 7*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + 
   a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 31920] -> a^6 + a^10 + a^12 - 2*a^14 + a^4*z^2 + 
   6*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 2*a^4*z^4 + 
   4*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 31921] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + 
   a^2 + a^4 - 6*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31922] -> -2 + a^(-2) + 5*a^2 - 4*a^4 + a^8 - 11*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 31923] -> 2*a^6 - 3*a^8 + 4*a^10 - 2*a^14 + 
   9*a^6*z^2 - 6*a^8*z^2 + 8*a^10*z^2 + 10*a^12*z^2 - 7*a^14*z^2 + 
   12*a^6*z^4 - 10*a^8*z^4 + 3*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 
   6*a^6*z^6 - 12*a^8*z^6 - 6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 31924] -> 2*a^6 - 3*a^8 + 5*a^10 - 2*a^12 - a^14 + 
   2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 11*a^10*z^2 + 2*a^12*z^2 - 
   3*a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 7*a^8*z^4 + 7*a^10*z^4 + 6*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 31925] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 4*a^2*z^2 - 8*a^4*z^2 + 20*a^6*z^2 - 
   19*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 
   25*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 
   16*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 31926] -> -3 - a^(-4) + 3/a^2 + 5*a^2 - 
   5*a^4 + 2*a^6 - 15*z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 + 19*a^2*z^2 - 
   15*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 
   27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 
   15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 31927] -> -1 + a^(-4) + a^4 - z^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 31928] -> 
  1 + a^2 - a^4 - a^6 + a^8 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 31929] -> a^2 - 2*a^4 + 5*a^6 - 4*a^8 + 
   2*a^10 - a^12 + 2*z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 31930] -> 
  a^4 - a^6 + a^8 + a^10 + a^12 - 2*a^14 + 4*a^4*z^2 + a^8*z^2 + 7*a^10*z^2 + 
   4*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 6*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 31931] -> a^4 - a^6 + a^8 + 2*a^10 - a^12 - a^14 + 
   a^2*z^2 + 3*a^4*z^2 + 2*a^8*z^2 + 6*a^10*z^2 + a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 31932] -> a^4 + a^6 - a^8 + a^10 - a^12 + 2*z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 31933] -> a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 
   4*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31934] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 31935] -> 
  2*a^6 + a^8 - 2*a^10 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 + 9*a^8*z^2 - 
   5*a^10*z^2 + 4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31936] -> 3*a^6 - a^8 - a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 
   8*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + z^4 + a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 31937] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 6*z^2 + 16*a^2*z^2 - 12*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 18*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 31938] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 8*z^2 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 31939] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 - 
   6*a^10*z^2 + 4*a^12*z^2 - 7*a^4*z^4 + 22*a^6*z^4 - 7*a^8*z^4 - 
   12*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 31940] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + 3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 
   3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 31941] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 + a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 31942] -> 
  3*a^2 - 3*a^4 + a^6 + 3*z^2 - z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 
   7*z^4 - (3*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 31943] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 31944] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31945] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31946] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2 - z^2/a^10 + (7*z^2)/a^8 - 
   (9*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + (4*z^4)/a^8 - 
   (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31947] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 + 
   z^2/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 + z^2/a^2 - a^2*z^2 + z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31948] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31949] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (16*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31950] -> 4 + a^(-4) - 3/a^2 - a^2 + 10*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 13*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 31951] -> 4 - 5*a^2 + a^4 + a^6 + 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 19*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 + z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 22*a^2*z^4 + 3*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 - 
   12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 31952] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31953] -> 
  -1 + 3*a^2 - a^6 - z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 
   2*z^4 - z^4/a^2 + 5*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31954] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 31955] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 31956] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 31957] -> 
  -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - (5*z^2)/a^10 + (22*z^2)/a^8 - 
   (23*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (38*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 31958] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (12*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (12*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 31959] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 10*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (22*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 20*z^4 + (4*z^4)/a^6 - 
   (21*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 16*z^6 - (6*z^6)/a^4 + 
   (19*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 31960] -> -1 - 2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 + a^2 - 
   10*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (21*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 15*z^4 - z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + 
   (25*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 31961] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (19*z^2)/a^4 - 6*z^4 + (3*z^4)/a^8 - 
   (14*z^4)/a^6 + (14*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (8*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31962] -> a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - 
   z^2/a^14 - (5*z^2)/a^12 + (14*z^2)/a^10 - (8*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (2*z^4)/a^12 + (14*z^4)/a^10 - (14*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 + (2*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31963] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (6*z^4)/a^10 - (5*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 31964] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 31965] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (21*z^4)/a^6 - 
   (21*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 31966] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 12*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 10*z^4 + (3*z^4)/a^4 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 31967] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 4*z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^2 + a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*z^6 + (4*z^6)/a^4 + a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 31968] -> 
  -1 - a^(-10) + 2/a^8 - 2/a^4 + 2/a^2 + a^2 - 5*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   (3*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 31969] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 31970] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31971] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - z^4/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 31972] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + (7*z^2)/a^12 - z^2/a^10 - (9*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (5*z^4)/a^10 - 
   (14*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 31973] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31974] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 15*z^2 - 
   (6*z^2)/a^6 + (11*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (7*z^4)/a^6 + (14*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31975] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 31976] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 7*z^2 - (2*z^2)/a^6 + (10*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + z^4/a^4 + (12*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 31977] -> 
  a^6 + 2*a^10 - a^12 - a^14 + a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 + 5*a^10*z^2 + 
   a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 5*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 31978] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31979] -> -2 + a^(-2) + 5*a^2 - 4*a^4 + a^8 - 9*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   10*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 31980] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 31981] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 31982] -> -a^4 + 4*a^6 - 2*a^10 + 2*a^2*z^2 - 
   6*a^4*z^2 + 12*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 
   7*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 3*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 31983] -> 
  -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 + z^2 - 3*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 + 3*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 31984] -> 
  a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 + 
   12*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 + 16*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 31985] -> a^2 - 3*a^4 + 6*a^6 - 2*a^8 - a^10 + z^2 + 
   a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 31986] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 31987] -> 
  2*a^2 - a^4 - 3*z^2 + 5*a^2*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 31988] -> 
  -2/a^6 + 3/a^4 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 31989] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + a^4*z^2 + 10*a^6*z^2 - 9*a^8*z^2 + 
   a^12*z^2 - a^2*z^4 - a^4*z^4 + 12*a^6*z^4 - 10*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 31990] -> 
  1 + a^2 - 2*a^6 + a^10 + z^2 - a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 
   2*a^10*z^2 - z^4 - a^2*z^4 + a^4*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - 
   z^6 + a^2*z^6 + 4*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 31991] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 31992] -> a^4 + 2*a^6 - 2*a^8 + 4*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 31993] -> a^(-12) - 6/a^10 + 6/a^8 + (2*z^2)/a^12 - 
   (14*z^2)/a^10 + (17*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (12*z^4)/a^10 + (19*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 31994] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 + 
   3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 31995] -> a^2 + a^4 - a^6 - z^2 - 2*a^2*z^2 + 
   10*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + z^4/a^2 - a^2*z^4 + 17*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 31996] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - z^2/a^14 + 
   (5*z^2)/a^12 - (10*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 31997] -> -2/a^10 + a^(-8) + 2/a^6 + z^2/a^12 - 
   z^2/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - 
   (5*z^4)/a^10 - (7*z^4)/a^8 + (17*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 - z^6/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 31998] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - 
   z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 31999] -> 2 + a^(-4) - 2/a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32000] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 32001] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32002] -> 
  -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (11*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 32003] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 6*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (16*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32004] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (9*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (8*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32005] -> -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   (6*z^6)/a^8 + (13*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 32006] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (9*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - (11*z^4)/a^10 + 
   (9*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (6*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32007] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (5*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 32008] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) - (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32009] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 5*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32010] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 32011] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 32012] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32013] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32014] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 8*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 32015] -> 2*a^6 - a^8 + a^10 - a^14 + a^4*z^2 + 
   5*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 
   3*a^6*z^4 + 4*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 32016] -> -3 + 2/a^2 + 3*a^2 - 5*a^4 + 7*a^6 - 3*a^8 - 
   13*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 21*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 
   18*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32017] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 32018] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   6*z^2 + z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 32019] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 32020] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 + 4*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 32021] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   2*a^2*z^2 - a^4*z^2 + 11*a^6*z^2 - 14*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - 9*a^4*z^4 + 17*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 
   8*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 32022] -> -a^4 + 5*a^6 - 2*a^8 - a^10 + 
   2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 
   10*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 32023] -> -a^2 + 3*a^4 - a^10 + z^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32024] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 5*z^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   20*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 32025] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 
   z^2 - z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 32026] -> 
  3*a^6 + 2*a^8 - 7*a^10 + 3*a^12 - a^4*z^2 + 10*a^6*z^2 + 5*a^8*z^2 - 
   15*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 + 13*a^6*z^4 + 5*a^8*z^4 - 
   15*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 5*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 32027] -> 
  a^4 + 2*a^6 - 4*a^10 + 2*a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 6*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32028] -> 
  a^(-2) - a^4 + a^6 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32029] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32030] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 17*a^4*z^4 + 13*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32031] -> -4 + 3/a^2 + a^2 + a^4 - 5*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32032] -> 2/a^8 - 7/a^6 + 5/a^4 + 2/a^2 - a^2 + z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (12*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (11*z^4)/a^6 + (13*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 32033] -> 
  -1 + a^(-10) - 3/a^8 + a^(-6) + a^(-4) + 2/a^2 - z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 32034] -> 
  2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (9*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32035] -> 
  a^(-12) - 2/a^10 - a^(-8) + 3/a^6 - a^(-4) + a^(-2) - z^2 + z^2/a^12 - 
   (4*z^2)/a^10 + z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 32036] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 5*z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - 
   z^4/a^10 + (10*z^4)/a^8 - (11*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32037] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + a^(-2) + a^2 - z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 32038] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (7*z^2)/a^10 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (9*z^4)/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 32039] -> -a^(-14) + 2/a^12 - 3/a^8 + 
   2/a^6 + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 32040] -> 4 - a^(-4) - a^2 - 2*a^4 + a^6 + 
   10*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 
   7*z^4 - z^4/a^4 + (4*z^4)/a^2 - 11*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32041] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   9*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + (7*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (12*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32042] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   4*z^4 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 32043] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) - z^2/a^14 + z^2/a^12 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 32044] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 - 
   (3*z^2)/a^12 + (7*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 32045] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2/a^14 + z^2/a^12 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^12 + z^4/a^10 - z^4/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 32046] -> 3 - a^(-4) + 2*a^2 - 5*a^4 + 2*a^6 + 8*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32047] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   4*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32048] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 32049] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 - a^2*z^2 + a^4*z^2 + 5*a^6*z^2 + 
   11*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 8*a^6*z^4 + 
   15*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 8*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 32050] -> 8*a^8 - 10*a^10 + 3*a^12 - 2*a^4*z^2 + 
   a^6*z^2 + 29*a^8*z^2 - 26*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 3*a^6*z^4 + 
   41*a^8*z^4 - 28*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 
   30*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 12*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 32051] -> 
  3*a^6 - 3*a^10 + a^12 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 + 8*a^8*z^2 - 
   10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 
   12*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 32052] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - 
   2*z^2 - (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 32053] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32054] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + z^4/a^8 - z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32055] -> 7*a^8 - 8*a^10 + 2*a^12 - a^4*z^2 + 
   3*a^6*z^2 + 20*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 8*a^6*z^4 + 21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 32056] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + 
   7*a^6*z^2 + 5*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + a^4*z^4 + 
   8*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 32057] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   5*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32058] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - z^2/a^12 + (6*z^2)/a^10 - 
   (11*z^2)/a^8 + (13*z^2)/a^6 + (2*z^4)/a^12 + z^4/a^10 - (12*z^4)/a^8 + 
   (14*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 32059] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - z^4/a^10 - z^4/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32060] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 6*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 32061] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^2 - (3*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32062] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32063] -> a^6 + 4*a^8 - 5*a^10 + a^12 - a^4*z^2 + 
   5*a^6*z^2 + 14*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 
   11*a^6*z^4 + 15*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   11*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 32064] -> 4 + 3/a^4 - 6/a^2 + 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (15*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 32065] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   4*z^4 + (3*z^4)/a^6 - (6*z^4)/a^2 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 32066] -> 
  -4 + 3/a^4 - 4/a^2 + 10*a^2 - 4*a^4 - 16*z^2 + (8*z^2)/a^4 - (12*z^2)/a^2 + 
   27*a^2*z^2 - 8*a^4*z^2 - 21*z^4 + (9*z^4)/a^4 - (17*z^4)/a^2 + 
   27*a^2*z^4 - 5*a^4*z^4 - 15*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 32067] -> -1 + a^(-6) - 2/a^2 + 5*a^2 - 
   2*a^4 - z^2 + (2*z^2)/a^6 - (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (11*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 32068] -> 
  -2/a^10 + 4/a^8 + 2/a^6 - 9/a^4 + 6/a^2 - (6*z^2)/a^10 + (11*z^2)/a^8 + 
   (10*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - (8*z^4)/a^10 + (15*z^4)/a^8 + 
   (15*z^4)/a^6 - (29*z^4)/a^4 + (6*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + 
   (13*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32069] -> 2 - a^(-10) + a^(-8) + 4/a^6 - 6/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32070] -> 4 - 2/a^8 + 6/a^6 - 3/a^4 - 4/a^2 + 4*z^2 - 
   z^2/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32071] -> 
  -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 2*a^2 - 4*z^2 - z^2/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 32072] -> 
  2*a^2 - 7*a^4 + 12*a^6 - 6*a^8 + 7*a^2*z^2 - 21*a^4*z^2 + 26*a^6*z^2 - 
   a^8*z^2 - 4*a^10*z^2 + 9*a^2*z^4 - 25*a^4*z^4 + 16*a^6*z^4 + 11*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 - a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 32073] -> 1 - 3*a^2 + 5*a^4 - 3*a^6 + 3*a^8 - 2*a^10 + 
   3*z^2 - 8*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32074] -> -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 
   34*z^2 + z^2/a^6 - (8*z^2)/a^4 + (25*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 
   34*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (30*z^4)/a^2 + 14*a^2*z^4 - 
   a^4*z^4 - 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32075] -> -1 - a^(-4) + 3/a^2 - 3*a^2 + 5*a^4 - 
   2*a^6 - z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 9*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 32076] -> 
  2*a^2 - 7*a^4 + 12*a^6 - 6*a^8 + 6*a^2*z^2 - 18*a^4*z^2 + 25*a^6*z^2 - 
   4*a^8*z^2 - 2*a^10*z^2 + z^4 + 5*a^2*z^4 - 19*a^4*z^4 + 16*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32077] -> 
  -13 - 2/a^4 + 8/a^2 + 12*a^2 - 4*a^4 - 33*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (22*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 34*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (24*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32078] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 
   12*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 32079] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 + (6*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32080] -> 
  -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 + 3*a^2*z^4 + 
   6*a^4*z^4 - 3*z^6 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 32081] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 32082] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 32083] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 32084] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 25*z^2 - (2*z^2)/a^6 + (19*z^2)/a^2 + 
   9*a^2*z^2 - 28*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 17*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32085] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - z^2/a^10 - (18*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 - (8*z^4)/a^8 + (30*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32086] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^12 - (7*z^2)/a^8 + (5*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + (8*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32087] -> 
  -7 - a^(-6) + 6/a^2 + 3*a^2 - 22*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 9*a^2*z^2 - 26*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32088] -> 2/a^10 - 7/a^8 + 5/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^12 - (13*z^2)/a^8 + (17*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (5*z^4)/a^8 + (19*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32089] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 6*z^2 + 
   (5*z^2)/a^8 - (30*z^2)/a^6 + (41*z^2)/a^4 - (3*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (33*z^4)/a^6 + (55*z^4)/a^4 - 4*z^6 + z^6/a^8 - 
   (16*z^6)/a^6 + (37*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32090] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (15*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 + 
   (19*z^4)/a^4 - (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + 
   (12*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 32091] -> 7*a^4 - 10*a^6 + 4*a^8 - 2*z^2 + 4*a^2*z^2 + 
   12*a^4*z^2 - 25*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 4*a^4*z^4 - 
   28*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 32092] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 + 
   z^2 - z^2/a^2 + 4*a^2*z^2 - 11*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32093] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^8 + 
   z^4/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32094] -> 
  6 - 3/a^2 - a^2 - a^4 + 11*z^2 + z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32095] -> a^2 + a^6 - a^8 - z^2/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32096] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 8*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32097] -> 
  -2 + a^(-2) + 3*a^2 - a^4 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 32098] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + a^6*z^2 + 2*z^4 - 
   z^4/a^4 + z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32099] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (19*z^2)/a^8 + (18*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 + (2*z^4)/a^10 - (16*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32100] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (5*z^2)/a^12 - (21*z^2)/a^10 + 
   (19*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (27*z^4)/a^10 + 
   (35*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32101] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (13*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (13*z^4)/a^8 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32102] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 12*z^2 - 
   z^2/a^4 - 22*a^2*z^2 + 8*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   23*a^2*z^4 + 8*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 14*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32103] -> -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + z^2/a^2 + 
   5*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   17*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32104] -> -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (17*z^2)/a^8 - (16*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (24*z^4)/a^8 - (33*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (29*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 32105] -> 2 - a^(-10) + 3/a^8 - a^(-6) - 
   2/a^4 + 4*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (13*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32106] -> -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - 
   (4*z^2)/a^14 + (19*z^2)/a^12 - (25*z^2)/a^10 + (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (28*z^4)/a^12 - (39*z^4)/a^10 - z^4/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (32*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 32107] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 2/a^4 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (14*z^2)/a^10 + z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32108] -> -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 
   2/a^4 - (2*z^2)/a^14 + (9*z^2)/a^12 - (8*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - 
   (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 32109] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   2/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 32110] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (5*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 32111] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 8*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32112] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 5*z^2 - 
   z^2/a^8 + z^2/a^6 + (9*z^2)/a^4 - (17*z^2)/a^2 + a^2*z^2 - z^4/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (13*z^4)/a^2 + 2*a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 32113] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 + 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (11*z^4)/a^2 + 
   2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 32114] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 32115] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + z^2/a^12 + 
   (6*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 32116] -> -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 
   9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 6*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 32117] -> -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 14*a^6*z^2 + 12*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 20*a^6*z^4 + 15*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 14*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 32118] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (15*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (22*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32119] -> a^(-8) - 4/a^4 + 4/a^2 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 32120] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 
   9*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   18*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32121] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 
   18*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 19*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 32122] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 6*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 32123] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 - 
   (3*z^4)/a^14 + (7*z^4)/a^12 + (8*z^4)/a^10 - (17*z^4)/a^8 + (13*z^4)/a^6 - 
   z^6/a^14 + (8*z^6)/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^8)/a^12 - (4*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 32124] -> a^(-12) - 4/a^10 + 4/a^8 - 
   2/a^6 + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 - (8*z^2)/a^10 + 
   (10*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (5*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   (3*z^6)/a^10 - z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - 
   z^8/a^6, Knot[15, Alternating, 32125] -> a^(-14) - 4/a^12 + 5/a^10 - 
   3/a^8 + 2/a^4 - z^2/a^14 - (3*z^2)/a^12 + (11*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (8*z^4)/a^10 - (9*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32126] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^14 + 
   z^2/a^12 + z^2/a^10 + z^2/a^8 + (2*z^2)/a^2 + (2*z^4)/a^12 + z^4/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 32127] -> 
  -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 2*a^2*z^2 - 3*a^4*z^2 + 
   17*a^6*z^2 + 7*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   19*a^6*z^4 + 16*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 32128] -> -a^2 + 3*a^4 + a^8 - 3*a^10 + a^12 - z^2 - 
   a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - 
   z^4 + 5*a^4*z^4 + 7*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 32129] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (17*z^4)/a^6 - (20*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 32130] -> 
  -1 + 3*a^2 - a^6 - z^2 - z^2/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 
   2*z^4 - z^4/a^2 + 5*a^2*z^4 - a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32131] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 13*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 15*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 32132] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32133] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 32134] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 
   2*z^2 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 32135] -> 2 + 3/a^4 - 5/a^2 - a^2 + 
   4*a^4 - 2*a^6 + 2*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + 
   10*a^4*z^2 - 3*a^6*z^2 - z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - 6*a^2*z^4 + 
   8*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 32136] -> 
  1 + a^(-6) - 2/a^2 + 2*a^4 - a^6 - z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 32137] -> 3 - 2/a^10 + 5/a^8 - 3/a^6 + a^(-4) - 
   3/a^2 + 4*z^2 - (4*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (9*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 32138] -> 
  1 - a^(-10) + 2/a^8 - 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 32139] -> 
  2/a^4 - 2/a^2 + a^4 - 2*z^2 - z^2/a^10 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2, 
 Knot[15, Alternating, 32140] -> 2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + 
   5*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 11*a^8*z^2 - 2*a^12*z^2 + 4*a^2*z^4 - 
   6*a^4*z^4 - 9*a^6*z^4 + 7*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   4*a^4*z^6 - 8*a^6*z^6 - a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - 
   a^8*z^8, Knot[15, Alternating, 32141] -> 1 - a^2 + 2*a^6 - a^8 + a^10 - 
   a^12 + 2*z^2 - 2*a^2*z^2 + 2*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   2*a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 32142] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - 4*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 - 2*a^2*z^4 - 3*a^4*z^4 + 
   2*z^6 + z^6/a^2 + a^2*z^6, Knot[15, Alternating, 32143] -> 
  2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + 5*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + 
   10*a^8*z^2 - a^10*z^2 - a^12*z^2 + z^4 + 2*a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 5*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 4*a^4*z^6 - 4*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 32144] -> -1 - a^(-4) + 3/a^2 - 3*a^2 + 
   5*a^4 - 2*a^6 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 32145] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32146] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32147] -> 
  -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   a^6*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32148] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32149] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 4*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   14*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32150] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^6 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32151] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32152] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 8*a^2*z^6 - 
   4*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 32153] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 + 4*z^4 - 2*a^2*z^4 - 
   13*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 32154] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 3*z^2 - 5*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32155] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (6*z^4)/a^6 - 
   (5*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 32156] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - 
   z^2/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32157] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 18*z^2 - z^2/a^6 - (3*z^2)/a^4 + (19*z^2)/a^2 + 
   6*a^2*z^2 - 23*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + (10*z^4)/a^2 + 
   9*a^2*z^4 - 16*z^6 - z^6/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32158] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32159] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   4*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 9*a^2*z^4 - 
   6*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 10*a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 32160] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   (2*z^2)/a^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 4*z^6 - z^6/a^2 - 
   5*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 32161] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 19*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 8*a^2*z^2 - 25*z^4 - z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 - 17*z^6 - z^6/a^6 + (6*z^6)/a^4 - (5*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32162] -> a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) - 
   z^2/a^10 - (5*z^2)/a^8 + (18*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32163] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32164] -> 
  -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 5*z^2 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32165] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32166] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 
   5*a^2*z^2 + 6*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 
   2*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 32167] -> 
  1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + 2*z^2 - z^2/a^2 + 3*a^4*z^2 - 9*a^6*z^2 + 
   4*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32168] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 3*z^6 - z^6/a^4 + (7*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32169] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 23*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32170] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32171] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (4*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (6*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 32172] -> 
  -1 + 5*a^2 - 2*a^4 - 3*a^6 + 2*a^8 - 2*z^2 - z^2/a^2 + 13*a^2*z^2 - 
   10*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 12*a^2*z^4 - 
   14*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32173] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - z^2/a^2 + 
   13*a^2*z^2 - 15*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 17*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32174] -> -5*a^2 + 13*a^4 - 7*a^6 + 6*z^2 - 
   38*a^2*z^2 + 67*a^4*z^2 - 27*a^6*z^2 + 11*z^4 - 66*a^2*z^4 + 114*a^4*z^4 - 
   38*a^6*z^4 + 6*z^6 - 48*a^2*z^6 + 94*a^4*z^6 - 25*a^6*z^6 + z^8 - 
   16*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 32175] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 8*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 29*a^4*z^2 - 
   14*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 36*a^4*z^4 - 14*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32176] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32177] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32178] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 12*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   7*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (19*z^4)/a^4 - (22*z^4)/a^2 + 
   9*a^2*z^4 - 10*z^6 - z^6/a^6 + (14*z^6)/a^4 - (26*z^6)/a^2 + 5*a^2*z^6 - 
   5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 32179] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 32180] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (15*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32181] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + z^2 + 
   (2*z^2)/a^2 - 19*a^2*z^2 + 29*a^4*z^2 - 10*a^6*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   16*a^2*z^4 + 32*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32182] -> 
  3 - 8*a^2 + 10*a^4 - 4*a^6 + z^2 + z^2/a^4 - z^2/a^2 - 10*a^2*z^2 + 
   16*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32183] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + z^2/a^4 + 16*a^2*z^2 - 4*a^4*z^2 - 
   a^6*z^2 - 8*z^4 + z^4/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32184] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 17*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 + 
   12*a^4*z^2 - 9*a^6*z^2 - 22*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 + 19*a^4*z^4 - 
   10*a^6*z^4 - 11*z^6 + z^6/a^2 + 16*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32185] -> -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32186] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 7*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 32187] -> 2 - a^(-2) - 2*a^2 + 5*a^4 - 
   3*a^6 + 6*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 12*a^4*z^2 - 
   6*a^6*z^2 + 7*z^4 + z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 + 11*a^4*z^4 - 
   4*a^6*z^4 + 4*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32188] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 32189] -> 2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^4 - 5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 32190] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 32191] -> -2/a^14 + 5/a^12 - 3/a^10 - 
   3/a^8 + 3/a^6 + a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (8*z^2)/a^10 - 
   (12*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - 
   (12*z^4)/a^10 - (20*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 32192] -> a^6 + a^8 - a^14 + a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 + 7*a^10*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 
   5*a^8*z^4 + 10*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 8*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 32193] -> a^(-2) - a^2 - 2*a^4 + 6*a^6 - 3*a^8 - 
   4*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32194] -> 
  4*a^6 - 6*a^8 + 6*a^10 - 3*a^12 + 4*a^2*z^2 - 8*a^4*z^2 + 21*a^6*z^2 - 
   22*a^8*z^2 + 18*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 
   26*a^6*z^4 - 29*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 
   16*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 32195] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 
   2*a^12 + 2*z^2 - 2*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 32196] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 2*z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + 
   z^8, Knot[15, Alternating, 32197] -> a^2 - 2*a^4 + 5*a^6 - 5*a^8 + 
   4*a^10 - 2*a^12 + 2*z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 14*a^6*z^2 - 
   13*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 
   10*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 32198] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + z^2 + z^2/a^2 + a^6*z^2 - a^8*z^2 + 
   4*a^10*z^2 - 2*z^4 - 4*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 32199] -> 
  2*a^4 - 2*a^6 + 2*a^8 - a^12 + z^2/a^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 32200] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32201] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32202] -> 2 - a^(-2) + a^2 - a^4 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32203] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 + 12*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 
   2*a^2*z^8, Knot[15, Alternating, 32204] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 6*z^2 + z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   z^6/a^6 - z^6/a^4 - (9*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 32205] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 2*a^2*z^4 - 8*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 + z^6/a^2 - 7*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 32206] -> 
  a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + z^2/a^12 - (8*z^2)/a^10 + 
   (4*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (11*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32207] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32208] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - z^2 + z^2/a^10 + (4*z^2)/a^8 - 
   (7*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (2*z^4)/a^8 - 
   (8*z^4)/a^6 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 - z^6/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 32209] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32210] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - (5*z^2)/a^8 + (13*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32211] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + a^(-6) + a^(-4) - z^2/a^14 + 
   (7*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 32212] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) - 
   z^2 + z^2/a^12 - (8*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 - z^4 - (4*z^4)/a^10 + (7*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 32213] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32214] -> 2 - 3*a^2 + 5*a^4 - 5*a^6 + 2*a^8 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32215] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32216] -> 2/a^12 - 7/a^10 + 4/a^8 + 3/a^6 - 
   a^(-4) + (3*z^2)/a^12 - (18*z^2)/a^10 + (15*z^2)/a^8 + (13*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (15*z^4)/a^10 + (21*z^4)/a^8 + 
   (18*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (13*z^6)/a^8 + 
   (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 32217] -> a^(-12) - 3/a^10 - a^(-8) + 
   5/a^6 - a^(-4) - z^2 + z^2/a^12 - (7*z^2)/a^10 + (2*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 - z^4 - (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (12*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 32218] -> -3/a^6 + 5/a^4 - a^(-2) + 
   z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 32219] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + 8*z^2 + z^2/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 - a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 32220] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   (6*z^2)/a^12 + (11*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (13*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 32221] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 11*a^2*z^2 + 
   12*a^4*z^2 - 4*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   10*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32222] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 11*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 + 
   17*a^4*z^2 - 10*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 + 23*a^4*z^4 - 
   10*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32223] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32224] -> -3 + 6*a^2 - 2*a^6 - 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 13*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 13*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 32225] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 32226] -> -a^(-18) + 6/a^16 - 12/a^14 + 
   6/a^12 + a^(-10) + a^(-8) + (5*z^2)/a^16 - (20*z^2)/a^14 + (12*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (9*z^4)/a^14 + (12*z^4)/a^12 + 
   (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + (5*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32227] -> 
  -a^(-14) + 5/a^12 - 10/a^10 + 6/a^8 + a^(-6) - z^2/a^14 + (6*z^2)/a^12 - 
   (13*z^2)/a^10 + (9*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (6*z^4)/a^10 - z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 32228] -> 
  -2/a^10 + 8/a^8 - 11/a^6 + 5/a^4 + a^(-2) - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (10*z^2)/a^8 - (25*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + 
   (9*z^4)/a^10 - z^4/a^8 - (26*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (14*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 32229] -> 
  4 - 10*a^2 + 11*a^4 - 4*a^6 + 4*z^2 + z^2/a^4 - z^2/a^2 - 17*a^2*z^2 + 
   19*a^4*z^2 - 5*a^6*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 10*a^2*z^4 + 
   12*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32230] -> 
  a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + a^(-4) - (4*z^2)/a^12 + 
   (10*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 
   (6*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32231] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 19*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 
   25*z^4 - z^4/a^4 + (11*z^4)/a^2 + 28*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 
   14*z^6 + (3*z^6)/a^2 + 18*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32232] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (16*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32233] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32234] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + a^(-2) - 
   (2*z^2)/a^12 + (9*z^2)/a^10 - (22*z^2)/a^8 + (27*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (25*z^4)/a^8 + (31*z^4)/a^6 - 
   (15*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (18*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 32235] -> -4 + 10*a^2 - 5*a^4 - 12*z^2 + 
   z^2/a^4 - z^2/a^2 + 27*a^2*z^2 - 9*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 27*a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   13*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 32236] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 + 
   4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 32237] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + (4*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32238] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 32239] -> 1 + 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32240] -> 
  2 - 3*a^4 + 2*a^6 + 4*z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 8*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 7*a^4*z^4 + a^6*z^4 + 
   7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 32241] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + 
   a^8 - z^2/a^4 + 3*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 32242] -> 
  -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 3*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - z^4 + (3*z^4)/a^4 + 6*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 32243] -> 
  a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 - 8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 32244] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 4*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 32245] -> 
  2 - a^2 - a^6 + a^8 + z^2 - z^2/a^6 - 3*a^6*z^2 + z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 32246] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   z^2 + z^2/a^2 - 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 32247] -> 2*a^4 - a^6 + a^10 - a^12 + z^2/a^2 + 
   3*a^4*z^2 - a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - 3*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 32248] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 32249] -> a^2 - 2*a^4 + 4*a^6 - a^8 - 
   a^10 + z^2 - 3*a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32250] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + z^2 - 
   a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   4*a^2*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32251] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + 12*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 9*z^4 + z^4/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32252] -> -3 + 3/a^2 + a^6 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^8*z^2 - z^4/a^4 + z^4/a^2 - 
   a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 32253] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 32254] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 32255] -> a^4 + 2*a^6 - a^8 - 2*a^10 + 
   a^12 - a^2*z^2 + 6*a^4*z^2 + a^6*z^2 + a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32256] -> 
  2*a^4 - 2*a^10 + a^12 + a^2*z^2 + 3*a^4*z^2 - 2*a^10*z^2 + a^12*z^2 - z^4 + 
   a^4*z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 32257] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 32258] -> -2 + 6*a^2 - 3*a^4 - 6*z^2 + 12*a^2*z^2 - 
   3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32259] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32260] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - z^4/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - z^8/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32261] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32262] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (2*z^2)/a^12 - (16*z^2)/a^10 + 
   (22*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (3*z^4)/a^12 - (22*z^4)/a^10 + 
   (37*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32263] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   z^2/a^12 - (9*z^2)/a^10 + (12*z^2)/a^8 + (3*z^2)/a^6 + z^4/a^12 - 
   (7*z^4)/a^10 + (10*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32264] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 13*z^2 - (3*z^2)/a^6 + (21*z^2)/a^4 - 
   (30*z^2)/a^2 + 24*z^4 - (5*z^4)/a^6 + (37*z^4)/a^4 - (66*z^4)/a^2 + 
   19*z^6 - (4*z^6)/a^6 + (32*z^6)/a^4 - (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 32265] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 
   3*z^2 - (2*z^2)/a^6 + (15*z^2)/a^4 - (19*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (15*z^4)/a^4 - (23*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (14*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32266] -> 
  -a^(-14) + 6/a^12 - 12/a^10 + 7/a^8 + a^(-6) - (4*z^2)/a^14 + 
   (20*z^2)/a^12 - (35*z^2)/a^10 + (20*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^14 + (28*z^4)/a^12 - (45*z^4)/a^10 + (16*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (33*z^6)/a^10 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 32267] -> -a^(-14) + 5/a^12 - 8/a^10 + 
   2/a^8 + 3/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - (14*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - 
   (7*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32268] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (27*z^2)/a^14 + (20*z^2)/a^12 + (17*z^2)/a^10 + z^2/a^8 - 
   z^4/a^16 - (20*z^4)/a^14 + (34*z^4)/a^12 + (29*z^4)/a^10 + (4*z^4)/a^8 - 
   z^6/a^16 - (2*z^6)/a^14 + (23*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 32269] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (11*z^2)/a^14 + z^2/a^12 + (18*z^2)/a^10 + (5*z^2)/a^8 - 
   z^4/a^16 - (5*z^4)/a^14 + (9*z^4)/a^12 + (22*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 32270] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (5*z^2)/a^10 + (25*z^2)/a^8 - (35*z^2)/a^6 + (18*z^2)/a^4 - (8*z^4)/a^10 + 
   (46*z^4)/a^8 - (72*z^4)/a^6 + (26*z^4)/a^4 - (5*z^6)/a^10 + (37*z^6)/a^8 - 
   (68*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + 
   (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 32271] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (11*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32272] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (3*z^2)/a^10 + (15*z^2)/a^8 - (18*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (21*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (13*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32273] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32274] -> 
  15 - 7/a^2 - 7*a^2 + 67*z^2 + (4*z^2)/a^4 - (36*z^2)/a^2 - 28*a^2*z^2 + 
   112*z^4 + (8*z^4)/a^4 - (58*z^4)/a^2 - 38*a^2*z^4 + 93*z^6 + (5*z^6)/a^4 - 
   (43*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 
   10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 32275] -> 
  10 - 5/a^2 - 3*a^2 - a^4 + 26*z^2 + (2*z^2)/a^4 - (17*z^2)/a^2 + 
   2*a^2*z^2 - 7*a^4*z^2 + 29*z^4 + (3*z^4)/a^4 - (19*z^4)/a^2 + 14*a^2*z^4 - 
   9*a^4*z^4 + 17*z^6 + z^6/a^4 - (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 32276] -> a^(-8) - 9/a^6 + 14/a^4 - 5/a^2 + 
   (3*z^2)/a^8 - (28*z^2)/a^6 + (52*z^2)/a^4 - (20*z^2)/a^2 + (5*z^4)/a^8 - 
   (42*z^4)/a^6 + (84*z^4)/a^4 - (29*z^4)/a^2 + (4*z^6)/a^8 - (33*z^6)/a^6 + 
   (73*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 32277] -> -1 + a^(-8) - 7/a^6 + 9/a^4 - a^(-2) - 
   5*z^2 + (2*z^2)/a^8 - (16*z^2)/a^6 + (24*z^2)/a^4 + z^2/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (16*z^4)/a^6 + (26*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (15*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32278] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 30*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 15*a^2*z^2 + 37*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 32279] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 13*z^2 + z^2/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 14*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32280] -> 
  -a^(-4) + 2/a^2 + 3*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 32281] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32282] -> -1 + 5*a^2 - 4*a^4 + a^6 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32283] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32284] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (17*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (29*z^4)/a^8 - (36*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (32*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 32285] -> -2/a^10 + 5/a^8 - 5/a^6 + 
   2/a^4 + a^(-2) + z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32286] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (7*z^2)/a^8 - (28*z^2)/a^6 + (36*z^2)/a^4 - (12*z^2)/a^2 + (9*z^4)/a^8 - 
   (49*z^4)/a^6 + (70*z^4)/a^4 - (24*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + 
   (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 32287] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 - 2*z^2 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (17*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (18*z^4)/a^6 + (19*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32288] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + 
   (9*z^2)/a^8 - (38*z^2)/a^6 + (50*z^2)/a^4 - (17*z^2)/a^2 + (12*z^4)/a^8 - 
   (59*z^4)/a^6 + (82*z^4)/a^4 - (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (70*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 32289] -> 1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 - 3*z^2 + 
   (5*z^2)/a^8 - (20*z^2)/a^6 + (23*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (20*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32290] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 32291] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   a^2*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 32292] -> -4/a^8 + 7/a^6 - 3/a^4 + a^(-2) - 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32293] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^10 - z^2/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32294] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - 
   z^2/a^14 - (2*z^2)/a^12 + (6*z^2)/a^8 + (5*z^2)/a^6 - (3*z^4)/a^14 + 
   (7*z^4)/a^12 + (2*z^4)/a^10 + (8*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 32295] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32296] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 4*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (17*z^4)/a^4 - (3*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 - (8*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 32297] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 32298] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - 8*a^2*z^2 + 20*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 32299] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32300] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 4*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 32301] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   a^2*z^4 - z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 32302] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 - z^2/a^12 + (6*z^2)/a^10 - 
   (13*z^2)/a^8 + (15*z^2)/a^6 - z^2/a^4 + (2*z^4)/a^12 - z^4/a^10 - 
   (10*z^4)/a^8 + (17*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - 
   z^6/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32303] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   z^4/a^10 - (5*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 32304] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 + 
   (3*z^4)/a^12 - (10*z^4)/a^10 + (4*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32305] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 32306] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) + (4*z^2)/a^10 - (15*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + (19*z^4)/a^6 + (9*z^4)/a^4 - 
   (7*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + (14*z^6)/a^6 + (12*z^6)/a^4 - 
   (5*z^6)/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + 
   z^10/a^6 + z^10/a^4, Knot[15, Alternating, 32307] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 32308] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - 
   a^(-4) + 2/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (11*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32309] -> 
  -7 - 3/a^4 + 9/a^2 + a^2 + a^4 - 17*z^2 - (8*z^2)/a^4 + (23*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 12*z^4 - (2*z^4)/a^6 - (5*z^4)/a^4 + (24*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (13*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 32310] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 14*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 18*a^4*z^4 + 19*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32311] -> a^6 + 4*a^10 - 5*a^12 + a^14 + 7*a^6*z^2 - 
   3*a^8*z^2 + 15*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 
   8*a^8*z^4 + 16*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 32312] -> 6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 
   2*a^2*z^2 - 6*a^4*z^2 + 23*a^6*z^2 - 25*a^8*z^2 + 15*a^10*z^2 - 
   3*a^12*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 28*a^6*z^4 - 28*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 17*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 32313] -> -2/a^14 + 5/a^12 - 4/a^10 - 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (17*z^2)/a^12 - (14*z^2)/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (20*z^4)/a^10 - 
   (15*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 32314] -> -a^(-14) + 2/a^12 - a^(-10) - 
   2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (7*z^2)/a^12 - z^2/a^10 - 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (5*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 32315] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 16*z^2 - (7*z^2)/a^6 + (12*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (9*z^4)/a^6 + (19*z^4)/a^4 + 
   (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32316] -> 
  -4 - a^(-6) + 5/a^2 + a^4 - 7*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32317] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 2*a^4*z^2 + 12*a^6*z^2 - 16*a^8*z^2 + 12*a^10*z^2 - 
   3*a^12*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 16*a^6*z^4 - 22*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 32318] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 
   2/a^2 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32319] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32320] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32321] -> 
  5*a^8 - 4*a^10 + a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 
   4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   9*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 32322] -> -a^4 + 4*a^6 - 2*a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + z^4 + a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32323] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32324] -> -3 + 8*a^2 - 5*a^4 + 2*a^6 - a^8 - 10*z^2 + 
   (2*z^2)/a^2 + 22*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 24*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32325] -> 
  -3 + 3/a^2 + a^2 - 2*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32326] -> -2 + a^(-4) + a^(-2) + a^2 - 2*a^4 + 
   2*a^6 - 12*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 
   17*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 32327] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 
   z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32328] -> 
  a^2 + a^4 - a^6 - z^2 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32329] -> 
  5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + a^4*z^2 + 16*a^6*z^2 - 20*a^8*z^2 + 
   10*a^10*z^2 - 2*a^2*z^4 - a^4*z^4 + 16*a^6*z^4 - 19*a^8*z^4 + a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32330] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 19*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32331] -> 6*a^6 - 6*a^8 + a^12 - 2*a^4*z^2 + 
   18*a^6*z^2 - 14*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 5*a^4*z^4 + 20*a^6*z^4 - 
   11*a^8*z^4 - 6*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 32332] -> 
  a^4 + 5*a^8 - 8*a^10 + 3*a^12 + 3*a^4*z^2 + 12*a^8*z^2 - 16*a^10*z^2 + 
   5*a^12*z^2 + a^6*z^4 + 10*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 
   4*a^6*z^6 + 6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 32333] -> a^4 + 2*a^6 - 4*a^10 + 2*a^12 + a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^4*z^4 + 
   3*a^6*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32334] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 + z^4/a^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32335] -> 2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - 
   z^6/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 32336] -> -a^(-8) + 2/a^4 - 4*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32337] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 3*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 32338] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   5*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 15*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32339] -> 
  1 - a^2 + 3*a^6 - 2*a^8 - z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32340] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 - z^2/a^14 + (7*z^2)/a^12 - (16*z^2)/a^10 + 
   (8*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (14*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (6*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 32341] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 + (3*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 - 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32342] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (3*z^2)/a^16 - (21*z^2)/a^14 + 
   (12*z^2)/a^12 + (17*z^2)/a^10 + (3*z^2)/a^8 - z^4/a^16 - (11*z^4)/a^14 + 
   (20*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (10*z^6)/a^12 + (11*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 32343] -> 4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + 
   (4*z^2)/a^16 - (32*z^2)/a^14 + (30*z^2)/a^12 + (11*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (23*z^4)/a^14 + (45*z^4)/a^12 + (23*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (28*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 32344] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   z^2/a^16 - (16*z^2)/a^14 + (10*z^2)/a^12 + (15*z^2)/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (16*z^4)/a^12 + (20*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32345] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - (4*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32346] -> -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - 
   (2*z^2)/a^10 + (13*z^2)/a^8 - (20*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^10 + (13*z^4)/a^8 - (20*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (11*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32347] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - (4*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32348] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 + (3*z^4)/a^12 - (6*z^4)/a^10 - 
   (2*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32349] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 32350] -> -a^(-10) + 2/a^8 - 3/a^4 + 
   3/a^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (9*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32351] -> 
  1 - z^2/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 32352] -> a^2 + a^6 - a^8 - z^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 
   2*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32353] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 5*z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + 
   (15*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (14*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32354] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 3*z^2 + 2*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 - 
   5*z^4 + z^4/a^2 + 3*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32355] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + 
   (16*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (6*z^4)/a^8 + (21*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 32356] -> -2/a^6 + 3/a^4 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   z^6/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32357] -> 
  3 + 2/a^4 - 4/a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32358] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (14*z^4)/a^6 - (23*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 32359] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - z^2/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32360] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^12 + (2*z^4)/a^10 - 
   (11*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32361] -> -a^(-8) + a^(-6) + a^(-2) - 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32362] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (12*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + 
   (13*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (8*z^6)/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32363] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32364] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (3*z^2)/a^12 - 
   (11*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - 
   (13*z^4)/a^10 + (12*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32365] -> a^6 + a^8 + 2*a^10 - 4*a^12 + a^14 + 
   a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 + 10*a^10*z^2 - 6*a^12*z^2 - a^14*z^2 + 
   2*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 + 13*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 7*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 32366] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 
   2*a^10 + z^2 - 3*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32367] -> -2 + 4*a^2 - a^4 + 2*a^6 - 2*a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32368] -> 
  1 + a^2 - 2*a^4 + a^6 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32369] -> 3*a^2 - 2*a^4 - a^8 + a^10 - z^2 + 
   8*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   10*a^2*z^4 - 21*a^4*z^4 + 15*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32370] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32371] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   8*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32372] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + z^4/a^2 + 9*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32373] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + a^4*z^2 + 13*a^6*z^2 - 13*a^8*z^2 + 
   6*a^10*z^2 - a^2*z^4 - a^4*z^4 + 13*a^6*z^4 - 14*a^8*z^4 + a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32374] -> 
  4*a^6 - 6*a^10 + 3*a^12 + 9*a^6*z^2 + 3*a^8*z^2 - 14*a^10*z^2 + 
   5*a^12*z^2 - 2*a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 15*a^10*z^4 + 
   4*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 32375] -> a^4 + a^6 + 3*a^8 - 7*a^10 + 3*a^12 + 
   2*a^4*z^2 + 3*a^6*z^2 + 8*a^8*z^2 - 15*a^10*z^2 + 5*a^12*z^2 - a^4*z^4 + 
   4*a^6*z^4 + 8*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 
   6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 32376] -> 
  2*a^4 + a^8 - 4*a^10 + 2*a^12 + 4*a^4*z^2 + 2*a^8*z^2 - 6*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 32377] -> -a^(-4) + 2/a^2 + z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 32378] -> 2*a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32379] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32380] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 32381] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   8*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32382] -> -a^(-6) + 2/a^4 - a^2 + a^4 + z^2/a^4 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32383] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32384] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (19*z^2)/a^14 + (7*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (14*z^4)/a^14 + (22*z^4)/a^12 + (23*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (17*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 32385] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 - 
   (8*z^2)/a^14 + (2*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (8*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 32386] -> 2/a^16 - 5/a^14 + 2/a^12 - 
   a^(-10) + 3/a^8 - (9*z^2)/a^14 + (7*z^2)/a^12 + (3*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (10*z^4)/a^12 + 
   (9*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32387] -> 
  a^(-16) - 2/a^14 - a^(-12) + a^(-10) + a^(-8) + a^(-6) - z^2/a^16 - 
   (3*z^2)/a^14 + z^2/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 32388] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 3/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (16*z^2)/a^14 + (14*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (11*z^4)/a^14 + 
   (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (11*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 32389] -> 2/a^14 - 6/a^12 + 3/a^10 + 
   a^(-8) + a^(-6) - z^2/a^14 - (8*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + z^4/a^12 + (12*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32390] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32391] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 12*z^2 - 
   (3*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32392] -> 
  1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   z^4/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 32393] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 7*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32394] -> -5 + 2/a^8 - 7/a^6 + 2/a^4 + 9/a^2 - 
   14*z^2 + (4*z^2)/a^8 - (18*z^2)/a^6 + (9*z^2)/a^4 + (26*z^2)/a^2 - 
   14*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + (17*z^4)/a^4 + (32*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (10*z^6)/a^6 + (15*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32395] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 + 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 32396] -> 
  4 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32397] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (10*z^2)/a^14 + (13*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - 
   (6*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 32398] -> 
  a^(-16) - a^(-14) - 4/a^12 + 4/a^10 + a^(-6) - (5*z^2)/a^14 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (6*z^4)/a^12 + (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 32399] -> 1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 
   2/a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (7*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 32400] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 
   2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (12*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32401] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - (7*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32402] -> 
  1 - a^(-8) + 2/a^6 - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 32403] -> 
  3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 7*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 + 
   14*a^2*z^2 - 8*a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - (15*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 32404] -> -4 + a^(-8) - 4/a^6 + 8/a^2 - 10*z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (7*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (13*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32405] -> 2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (12*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32406] -> a^(-12) - 2/a^10 - a^(-8) + a^(-6) + 3/a^4 - 
   a^(-2) - z^2 + z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 32407] -> a^(-8) - 4/a^6 + 4/a^4 + 2*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (9*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 32408] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (8*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32409] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (7*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 32410] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   z^2 - z^2/a^8 - z^2/a^6 + (9*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 32411] -> 
  -4 - 2/a^6 + 4/a^4 + a^(-2) + a^2 + a^4 - 10*z^2 - (3*z^2)/a^6 + 
   (13*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 13*z^4 - z^4/a^6 + 
   (12*z^4)/a^4 - (12*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + 
   (3*z^6)/a^4 - (9*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - (2*z^8)/a^2 - 
   a^2*z^8, Knot[15, Alternating, 32412] -> -a^(-8) + a^(-6) + 3/a^4 - 
   3/a^2 + a^4 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 32413] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 13*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 8*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 + 
   (2*z^6)/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32414] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 32415] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32416] -> 3 - a^(-4) + a^2 - 3*a^4 + a^6 + 9*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32417] -> -1 + 5*a^4 - a^6 - 3*a^8 + a^10 - 4*z^2 + 
   2*a^2*z^2 + 13*a^4*z^2 - 6*a^8*z^2 + a^10*z^2 - 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 + 14*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 + z^6 + 5*a^2*z^6 + 
   7*a^4*z^6 + 3*a^6*z^6, Knot[15, Alternating, 32418] -> 
  -4 + 2/a^8 - 5/a^6 - a^(-4) + 9/a^2 - 10*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (4*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (10*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32419] -> 
  2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + (4*z^2)/a^12 - (14*z^2)/a^10 + 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + 
   (9*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (9*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32420] -> a^(-12) - 2/a^10 - a^(-8) + a^(-6) + 3/a^4 - 
   a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + 
   (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32421] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32422] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - 15*a^6*z^2 + 
   5*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 8*a^4*z^4 - 18*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 32423] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 - z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32424] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 
   5*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 32425] -> 
  2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 
   4*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 32426] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 8*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 32427] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 + z^2 - (2*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   2*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32428] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 26*z^2 + z^2/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 - 12*a^2*z^2 + 30*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 32429] -> 2*a^2 - 5*a^4 + 10*a^6 - 8*a^8 + 2*a^10 - 
   2*z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 27*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32430] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32431] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32432] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32433] -> 1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 + z^2/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32434] -> 
  -1 + 2/a^2 - a^2 + a^6 - 4*z^2 + (2*z^2)/a^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   z^4 - z^4/a^2 + 3*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 32435] -> 
  a^(-4) - a^2 + a^6 - z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   z^4/a^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32436] -> 
  3*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32437] -> -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 18*z^4 + z^4/a^4 + 
   (5*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32438] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32439] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 + z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 32440] -> -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32441] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 32442] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 32443] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 + z^4 + 3*a^2*z^4 - 14*a^4*z^4 + 13*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - 9*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32444] -> 
  -2/a^10 + 5/a^8 - 3/a^6 - 2/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + (8*z^2)/a^8 - 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32445] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + z^2 + (3*z^2)/a^8 - (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 32446] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   11*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 32447] -> 
  -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 32448] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 20*a^2*z^2 - 22*a^4*z^2 + 
   15*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 8*z^4 + 28*a^2*z^4 - 29*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 19*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32449] -> 
  a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 3*a^10 - a^12 + 5*a^2*z^2 - 11*a^4*z^2 + 
   20*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 
   24*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 14*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32450] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32451] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 9*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 32452] -> -2 + a^(-6) - a^(-2) + 4*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32453] -> 
  1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 2*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + z^4 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32454] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   5*a^2*z^2 - 9*a^4*z^2 + 14*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   5*a^2*z^4 - 19*a^4*z^4 + 20*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 14*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32455] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + z^4/a^2 + 11*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32456] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (3*z^2)/a^16 - (22*z^2)/a^14 + (12*z^2)/a^12 + 
   (18*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (17*z^4)/a^14 + (28*z^4)/a^12 + 
   (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (21*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 32457] -> 2/a^16 - 5/a^14 + a^(-12) + 
   a^(-10) + 2/a^8 - (10*z^2)/a^14 + (6*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + (11*z^4)/a^12 + 
   (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32458] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 8*z^2 + z^2/a^4 - z^2/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32459] -> 5 - 3/a^2 + 3*a^2 - 6*a^4 + 2*a^6 + 10*z^2 - 
   (6*z^2)/a^2 + 11*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 12*z^4 - (6*z^4)/a^2 + 
   15*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 32460] -> 4 - a^(-4) - a^2 - 2*a^4 + a^6 + 
   8*z^2 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   9*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 32461] -> -a^(-18) + 8/a^16 - 15/a^14 + 
   5/a^12 + 4/a^10 - z^2/a^18 + (15*z^2)/a^16 - (50*z^2)/a^14 + 
   (32*z^2)/a^12 + (16*z^2)/a^10 + (4*z^4)/a^16 - (49*z^4)/a^14 + 
   (63*z^4)/a^12 + (25*z^4)/a^10 - (3*z^6)/a^16 - (14*z^6)/a^14 + 
   (54*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (21*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 32462] -> -a^(-18) + 7/a^16 - 13/a^14 + 6/a^12 + 
   2/a^8 + (6*z^2)/a^16 - (26*z^2)/a^14 + (16*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + (24*z^4)/a^12 + (18*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 32463] -> -2*a^6 + 14*a^8 - 16*a^10 + 5*a^12 - 
   4*a^4*z^2 + 2*a^6*z^2 + 38*a^8*z^2 - 37*a^10*z^2 + 8*a^12*z^2 - 
   8*a^4*z^4 + 8*a^6*z^4 + 48*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 9*a^6*z^6 + 34*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 32464] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 + 
   6*a^6*z^2 + 14*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   10*a^6*z^4 + 17*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   9*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 32465] -> -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 
   2*a^2 - 10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (21*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (13*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 32466] -> 4/a^16 - 10/a^14 + 3/a^12 + 
   4/a^10 + (6*z^2)/a^16 - (35*z^2)/a^14 + (26*z^2)/a^12 + (16*z^2)/a^10 - 
   (2*z^4)/a^16 - (33*z^4)/a^14 + (58*z^4)/a^12 + (25*z^4)/a^10 - 
   (4*z^6)/a^16 - (7*z^6)/a^14 + (53*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 32467] -> 3/a^16 - 8/a^14 + 4/a^12 + 
   2/a^8 + (2*z^2)/a^16 - (19*z^2)/a^14 + (15*z^2)/a^12 + (7*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (12*z^4)/a^14 + (26*z^4)/a^12 + 
   (17*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (18*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 32468] -> 3 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 
   2*a^2 + a^4 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32469] -> 2/a^16 - 5/a^14 + a^(-12) + 2/a^10 + 
   a^(-6) - (9*z^2)/a^14 + (5*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + (10*z^4)/a^12 + (14*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32470] -> 
  -2*a^4 + 8*a^6 - 3*a^8 - 4*a^10 + 2*a^12 - 2*a^2*z^2 - 2*a^4*z^2 + 
   19*a^6*z^2 - a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 20*a^6*z^4 + 
   5*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 32471] -> a^(-8) - 4/a^4 + 4/a^2 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (8*z^4)/a^8 - 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32472] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^8 + 
   z^2/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32473] -> 2 + 2/a^8 - 4/a^6 + 3/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32474] -> 
  a^(-8) - a^(-6) + a^2 - z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 32475] -> -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 
   a^2*z^2 - 3*a^4*z^2 + 15*a^6*z^2 + 6*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 20*a^6*z^4 + 10*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 14*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 32476] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32477] -> 
  -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 11*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 32478] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (21*z^2)/a^4 + 
   (22*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (28*z^4)/a^4 + 
   (29*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32479] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - 
   z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32480] -> 
  -a^(-4) + 2/a^2 - 7*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32481] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^12 + 
   (5*z^2)/a^10 - (14*z^2)/a^8 + (19*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (25*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 32482] -> 
  2*a^2 - a^4 + 2*a^6 - 5*a^8 + 4*a^10 - a^12 + 2*z^2 - 3*a^4*z^2 + 
   6*a^6*z^2 - 12*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 32483] -> 
  1 + a^4 - a^6 - 2*a^8 + 3*a^10 - a^12 + z^2/a^2 - a^2*z^2 - 5*a^8*z^2 + 
   4*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 32484] -> 
  2*a^2 - 5*a^4 + 10*a^6 - 8*a^8 + 2*a^10 - 2*z^2 + 9*a^2*z^2 - 18*a^4*z^2 + 
   27*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 
   27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32485] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + (4*z^4)/a^4 - 
   z^4/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 32486] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (5*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 32487] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 
   6*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 32488] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   (3*z^2)/a^2 - a^6*z^2 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 32489] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32490] -> 2 + a^2 - 6*a^4 + 6*a^6 - 3*a^8 + 
   a^10 + 4*z^2 - (2*z^2)/a^2 - 13*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 - 11*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 32491] -> 1 + a^(-2) - 2*a^2 + 2*a^6 - 2*a^8 + a^10 - 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[15, Alternating, 32492] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - z^2 + 
   4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32493] -> 3*a^4 - 2*a^6 + z^2 - z^2/a^2 + 4*a^4*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 32494] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 10*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 
   23*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 
   24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32495] -> 2*a^2 - 2*a^6 + a^8 + 4*a^2*z^2 - a^4*z^2 - 
   8*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 7*a^2*z^4 - a^4*z^4 - 14*a^6*z^4 + 
   4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32496] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - (2*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32497] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 5*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 
   2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 - 4*a^8*z^4 + 
   a^10*z^4 - z^6 + 2*a^2*z^6 + 4*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 32498] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 32499] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32500] -> -4 + 3/a^2 + 3*a^2 - 2*a^4 + a^8 - 8*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 32501] -> a^2 + a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 
   9*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 5*z^4 + 16*a^2*z^4 - 
   19*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 13*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32502] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 5*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 32503] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + a^2*z^4 - 6*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 
   4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32504] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32505] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + z^2/a^6 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32506] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   21*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 25*a^2*z^4 - 
   9*a^4*z^4 + 3*z^6 + z^6/a^4 - (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 32507] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32508] -> a^(-8) - 4/a^6 + 4/a^4 + (3*z^2)/a^10 - 
   (4*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (7*z^4)/a^8 + (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32509] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 - z^6/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32510] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^10 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (4*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 32511] -> 
  a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   (8*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (4*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32512] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 
   10*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 23*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32513] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 23*z^2 - (5*z^2)/a^2 - 28*a^2*z^2 + 11*a^4*z^2 + 
   40*z^4 - (6*z^4)/a^2 - 63*a^2*z^4 + 23*a^4*z^4 + 33*z^6 - (4*z^6)/a^2 - 
   65*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 32514] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 11*z^2 - z^2/a^4 + z^2/a^2 - 19*a^2*z^2 + 
   8*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32515] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 14*z^2 - 
   (6*z^2)/a^6 + (27*z^2)/a^4 - (36*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + 
   (48*z^4)/a^4 - (71*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - 
   (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 32516] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + 
   (11*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 32517] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 10*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (9*z^2)/a^4 - (23*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 - (28*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 32518] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 
   2*a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + 
   4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (10*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 32519] -> 
  -6*a^2 + 15*a^4 - 8*a^6 + 4*z^2 - 35*a^2*z^2 + 68*a^4*z^2 - 28*a^6*z^2 + 
   8*z^4 - 58*a^2*z^4 + 112*a^4*z^4 - 38*a^6*z^4 + 5*z^6 - 43*a^2*z^6 + 
   93*a^4*z^6 - 25*a^6*z^6 + z^8 - 15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 32520] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 50*z^2 + 
   (4*z^2)/a^4 - (29*z^2)/a^2 - 20*a^2*z^2 + 82*z^4 + (6*z^4)/a^4 - 
   (44*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - (34*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 32521] -> 
  -1 - 2*a^2 + 10*a^4 - 6*a^6 - 9*z^2 + (2*z^2)/a^2 - a^2*z^2 + 31*a^4*z^2 - 
   15*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32522] -> 
  9 - 4/a^2 - 4*a^2 + 24*z^2 + z^2/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 - 
   11*a^2*z^2 + 29*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 11*a^2*z^4 + 
   18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 32523] -> 6 - 3/a^2 - a^2 - a^4 + 26*z^2 + 
   (4*z^2)/a^4 - (20*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 42*z^4 + (4*z^4)/a^4 - 
   (29*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 33*z^6 + z^6/a^4 - (16*z^6)/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 32524] -> 
  4 - a^(-4) - 2*a^2 + 13*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 32525] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 + 
   11*a^4*z^2 - 7*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 + 
   10*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32526] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (6*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32527] -> -1 - 2/a^4 + 4/a^2 + 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 32528] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   10*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32529] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 15*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 32530] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (9*z^2)/a^6 + (16*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 32531] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^8 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 32532] -> 
  5 - a^(-2) - 4*a^2 + a^6 + 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 9*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - 9*z^4 - z^4/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 - 
   9*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32533] -> 2 + 3/a^4 - 5/a^2 + a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32534] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + 4*a^2*z^2 + 9*a^4*z^2 - 13*a^6*z^2 + 
   6*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 22*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 32535] -> -1 + 6*a^4 - 4*a^6 - 7*z^2 + (2*z^2)/a^2 + 
   21*a^4*z^2 - 10*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 27*a^4*z^4 - 
   10*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32536] -> -a^(-4) + 3/a^2 - 2*a^2 + a^6 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   6*z^4 + (3*z^4)/a^4 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 32537] -> 
  -1 + 3*a^2 - a^6 + z^2 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 8*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32538] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32539] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 46*z^2 + (8*z^2)/a^4 - (34*z^2)/a^2 - 
   17*a^2*z^2 + 81*z^4 + (10*z^4)/a^4 - (55*z^4)/a^2 - 27*a^2*z^4 + 72*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 32540] -> 5 - 2/a^2 - 2*a^2 + 16*z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - 8*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (7*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 32541] -> -1 + 6*a^4 - 4*a^6 - 3*z^2 + z^2/a^2 - 
   6*a^2*z^2 + 25*a^4*z^2 - 11*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   32*a^4*z^4 - 11*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 19*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32542] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 59*z^2 + 
   (11*z^2)/a^4 - (45*z^2)/a^2 - 21*a^2*z^2 + 92*z^4 + (13*z^4)/a^4 - 
   (66*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 32543] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 23*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 - 
   (5*z^2)/a^2 - 10*a^2*z^2 + 25*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 32544] -> -2 + 4*a^2 + a^4 - 2*a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 + 14*a^4*z^2 - 8*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 + 24*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32545] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32546] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - z^2/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (17*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + 
   (13*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32547] -> -2 - a^(-10) + 2/a^8 - 3/a^4 + 4/a^2 + a^2 - 
   8*z^2 - z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^2 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 32548] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (17*z^2)/a^8 + (20*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (26*z^4)/a^6 - (18*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 32549] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32550] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 32551] -> 6 - 3/a^2 - a^2 - a^4 + 10*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32552] -> 4 - a^(-4) - 2*a^2 + 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 32553] -> -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 4/a^4 + 
   3/a^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (17*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^10 - (17*z^4)/a^8 + (23*z^4)/a^6 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 32554] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   5*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 32555] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   11*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 32556] -> -2 + 7*a^2 - 5*a^4 + a^6 - 2*z^2 - z^2/a^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 
   12*a^2*z^4 - 19*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32557] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + z^2/a^4 - 
   z^2/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 23*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   12*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 32558] -> a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) + z^2/a^14 - (9*z^2)/a^12 + (17*z^2)/a^10 - (10*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (4*z^4)/a^12 + (19*z^4)/a^10 - (19*z^4)/a^8 + 
   (8*z^4)/a^6 + z^4/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 32559] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   9*z^4 + (3*z^4)/a^4 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 32560] -> a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32561] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 
   10*z^2 + (5*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (19*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 32562] -> 
  -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + (4*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 32563] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 - 
   2*a^2*z^2 + z^4 + z^4/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 32564] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32565] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 3*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 3*a^4*z^4 - 
   5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 32566] -> 
  -3 + 2/a^2 + 4*a^2 - 7*a^4 + 8*a^6 - 3*a^8 - 12*z^2 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 23*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 32567] -> a^6 + 4*a^10 - 5*a^12 + a^14 + 
   7*a^6*z^2 - 4*a^8*z^2 + 16*a^10*z^2 - 6*a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 8*a^6*z^4 - 9*a^8*z^4 + 16*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 32568] -> a^6 + 2*a^8 - a^10 - a^12 + 
   2*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 + 4*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 32569] -> a^(-2) - 4*a^4 + 7*a^6 - 3*a^8 - 3*z^2 + 
   (3*z^2)/a^2 - 12*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 32570] -> 2*a^4 - a^6 + a^10 - a^12 + 
   z^2 + 3*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 32571] -> a^2 - 2*a^4 + 5*a^6 - 4*a^8 + 2*a^10 - 
   a^12 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 9*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 32572] -> 2*a^6 - 2*a^8 + 5*a^10 - 
   5*a^12 + a^14 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 12*a^10*z^2 - 
   5*a^12*z^2 - a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^8*z^4 + 9*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 5*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 32573] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 
   2*a^2*z^2 + 8*a^6*z^2 - 12*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + a^2*z^4 - 
   9*a^4*z^4 + 16*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32574] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 9*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 32575] -> -4 + 3/a^2 + 3*a^2 - 3*a^4 + 
   2*a^6 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32576] -> -3 + a^(-4) + a^(-2) + 3*a^2 - 3*a^4 + 
   2*a^6 - 17*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32577] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   3*a^2*z^2 - 7*a^4*z^2 + 19*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   4*a^2*z^4 - 17*a^4*z^4 + 26*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32578] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32579] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 14*a^2*z^2 - 21*a^4*z^2 + 
   9*a^6*z^2 + a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 16*a^2*z^4 - 19*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32580] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 + 16*a^6*z^2 - 17*a^8*z^2 + 5*a^10*z^2 + 
   a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 15*a^6*z^4 - 14*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 9*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32581] -> 
  5*a^6 - 4*a^8 - a^10 + a^12 - 2*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 - 
   7*a^10*z^2 + 4*a^12*z^2 - 5*a^4*z^4 + 17*a^6*z^4 - 2*a^8*z^4 - 
   13*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 32582] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 - 2*a^4*z^2 + 13*a^6*z^2 - 
   12*a^8*z^2 + 5*a^10*z^2 + z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 14*a^6*z^4 - 
   9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 32583] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + z^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 
   3*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 3*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 32584] -> a^4 + 5*a^8 - 8*a^10 + 3*a^12 + 
   2*a^4*z^2 + a^6*z^2 + 13*a^8*z^2 - 17*a^10*z^2 + 5*a^12*z^2 - a^4*z^4 + 
   3*a^6*z^4 + 12*a^8*z^4 - 16*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 
   5*a^6*z^6 + 7*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 32585] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32586] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + 
   z^2/a^8 - z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32587] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   13*z^4 + (3*z^4)/a^4 - z^4/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32588] -> 
  2/a^12 - 8/a^10 + 6/a^8 + 2/a^6 - a^(-4) + (3*z^2)/a^12 - (18*z^2)/a^10 + 
   (18*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (14*z^4)/a^10 + (21*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (12*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32589] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (13*z^4)/a^6 + 
   (16*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 32590] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   z^2/a^12 - (9*z^2)/a^10 + (11*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (13*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32591] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (10*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (11*z^4)/a^8 - (13*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32592] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (17*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (16*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 32593] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (2*z^2)/a^16 - (14*z^2)/a^14 + 
   (5*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (7*z^4)/a^14 + (13*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 32594] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32595] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 8*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 32596] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - 
   a^4 - 12*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32597] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32598] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (9*z^2)/a^8 + 
   (12*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32599] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   z^2/a^18 + (8*z^2)/a^16 - (20*z^2)/a^14 + (3*z^2)/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^4)/a^16 - (27*z^4)/a^14 + (22*z^4)/a^12 + 
   (27*z^4)/a^10 + (6*z^4)/a^8 - (9*z^6)/a^14 + (19*z^6)/a^12 + 
   (17*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 32600] -> 2/a^12 - 9/a^10 + 8/a^8 + a^(-6) - a^(-4) + 
   (3*z^2)/a^12 - (20*z^2)/a^10 + (24*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (22*z^4)/a^10 + (34*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (26*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 32601] -> -2 + 2/a^8 - 9/a^6 + 9/a^4 + 
   a^(-2) - 7*z^2 + (3*z^2)/a^8 - (20*z^2)/a^6 + (25*z^2)/a^4 + (5*z^2)/a^2 - 
   9*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + (36*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32602] -> -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 + z^2 - 
   z^2/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32603] -> 
  1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   z^2/a^8 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 32604] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 16*z^2 + (4*z^2)/a^6 - (17*z^2)/a^4 + 
   (26*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - (19*z^4)/a^4 + 
   (33*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (20*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32605] -> 2 - a^(-4) + a^(-2) - a^2 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32606] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   z^2/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32607] -> -6 - a^(-4) + 5/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 32608] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32609] -> 
  -2 - a^(-8) + 4/a^6 - 6/a^4 + 5/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (24*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (32*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 32610] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 16*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 32611] -> 
  1 + 3*a^2 - 6*a^4 + 3*a^6 + 5*z^2 - (4*z^2)/a^2 + 10*a^2*z^2 - 22*a^4*z^2 + 
   8*a^6*z^2 + 12*z^4 - (8*z^4)/a^2 + 16*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 32612] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 7*z^2 - 
   (2*z^2)/a^4 - 5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 11*z^4 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32613] -> -2 + a^(-2) + 6*a^2 - 6*a^4 + a^6 + a^8 - 
   4*z^2 - z^2/a^2 + 13*a^2*z^2 - 11*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 
   (3*z^4)/a^2 + 14*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 9*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 32614] -> a^(-2) + a^2 - 2*a^4 + a^8 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 5*z^4 - 
   z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 32615] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^4 - a^(-2) + z^2 + (5*z^2)/a^10 - 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (7*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 32616] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32617] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 
   12*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   13*a^6*z^4 - 20*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 32618] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - a^4*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 32619] -> 
  -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 13*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32620] -> 
  a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 3*a^10 - a^12 + z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   15*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 
   9*a^4*z^4 + 11*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 32621] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 21*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32622] -> 
  -3 + 3/a^2 + a^4 - a^6 + a^8 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 32623] -> -2 + a^(-4) + a^(-2) + a^4 - a^6 + a^8 - 
   3*z^2 - z^2/a^4 - 3*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 32624] -> 
  a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + a^4*z^2 + 11*a^6*z^2 - 
   16*a^8*z^2 + 19*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 - 2*a^4*z^4 + 
   17*a^6*z^4 - 26*a^8*z^4 + 20*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 
   12*a^6*z^6 - 17*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 32625] -> 4*a^2 - 5*a^4 + a^6 + 2*a^8 - 
   a^10 + 6*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 - 2*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 32626] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 32627] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   (6*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32628] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32629] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 
   4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 32630] -> a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   3*a^4*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - 14*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 32631] -> a^4 + 2*a^6 - 4*a^10 + 2*a^12 + 2*a^4*z^2 + 
   5*a^6*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 32632] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + 
   5*a^2*z^2 - 4*a^4*z^2 + z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32633] -> 4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + (2*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 32634] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 32635] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - z^4 + 2*a^2*z^4 - 10*a^4*z^4 + 14*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32636] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   8*z^2 + z^2/a^6 - z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32637] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32638] -> 2 - a^(-2) + a^2 - a^4 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32639] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 13*z^2 - 
   z^2/a^6 - (8*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 16*z^4 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32640] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 32641] -> 
  -2 + 6*a^2 - 3*a^4 - z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   6*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 32642] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32643] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   15*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + 9*a^2*z^4 - 
   18*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 2*a^2*z^6 - 11*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 32644] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 5*a^2*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32645] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32646] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32647] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + z^2/a^8 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32648] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32649] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 
   a^2*z^2 + z^4 + (6*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32650] -> 
  1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + 2*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (15*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (14*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32651] -> 2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (16*z^2)/a^10 + (16*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (17*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32652] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2 + z^2/a^12 - (5*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 32653] -> 1 - 2/a^6 + 7/a^4 - 6/a^2 + a^4 - 5*z^2 - 
   (3*z^2)/a^6 + (17*z^2)/a^4 - (16*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 12*z^4 - 
   z^4/a^6 + (13*z^4)/a^4 - (18*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + 
   (3*z^6)/a^4 - (10*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - (2*z^8)/a^2 - 
   a^2*z^8, Knot[15, Alternating, 32654] -> 1 - a^(-10) + 5/a^8 - 7/a^6 + 
   3/a^4 + 3*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (15*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (15*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32655] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 16*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + 
   (8*z^4)/a^2 - 19*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 
   12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32656] -> 1 - a^(-8) + 2/a^6 + 2/a^4 - 4/a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + 2*a^4*z^2 - 
   6*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 32657] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 4*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 32658] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32659] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 32660] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 11*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32661] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (3*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (19*z^4)/a^10 + (23*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 32662] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 9*a^2*z^2 + 3*a^6*z^2 - z^4/a^4 + 
   (7*z^4)/a^2 - 13*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32663] -> -1 - 2/a^4 + 4/a^2 - 11*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32664] -> -a^(-4) + 2/a^2 - z^2/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (12*z^4)/a^8 + (17*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (13*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 32665] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (8*z^2)/a^8 + (12*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 32666] -> a^(-14) - 4/a^12 + 4/a^10 - 
   2/a^8 + a^(-6) + a^(-4) - z^2/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   (6*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 32667] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (10*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32668] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32669] -> -1 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + a^4 - 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 32670] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 32671] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 32672] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + z^4/a^2 - 
   6*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 32673] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 32674] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   a^(-6) + z^2 + (4*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 32675] -> -5 - a^(-6) + a^(-4) + 4/a^2 + a^2 + a^4 - 
   9*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   4*z^4 - z^4/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 32676] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 32677] -> a^6 + 2*a^8 - a^10 - a^12 + 
   2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + 2*a^4*z^4 + a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 32678] -> 
  2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + z^2 - 2*a^2*z^2 + 5*a^4*z^2 + 
   4*a^6*z^2 - 10*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 32679] -> 
  -2/a^14 + 5/a^12 - 4/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + 
   (10*z^2)/a^12 - (7*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (8*z^4)/a^10 - (9*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 32680] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 + z^2 + (4*z^2)/a^12 - (3*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[15, Alternating, 32681] -> -2/a^10 + 4/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32682] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 32683] -> -2 - 3/a^6 + 7/a^4 - 3/a^2 + 
   2*a^2 - 7*z^2 - (2*z^2)/a^8 - (3*z^2)/a^6 + (16*z^2)/a^4 - (7*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + z^4/a^6 + (16*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 32684] -> 
  -2 - 2/a^6 + 4/a^4 + a^4 - 5*z^2 - z^2/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 32685] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + z^2 - 
   a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 32686] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   3*z^2 - (4*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - a^4*z^2 + 
   3*z^4 + (5*z^4)/a^6 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 32687] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 32688] -> 2 - a^(-2) + a^2 - 2*a^4 + 
   2*a^6 - a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 32689] -> 1 - a^(-2) + 3*a^2 - 3*a^4 + 
   2*a^6 - a^8 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 32690] -> -3 + 3/a^2 + a^2 - a^4 + a^8 - 
   8*z^2 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   5*z^4 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 32691] -> -2 + a^(-4) + a^(-2) + a^2 - a^4 + a^8 - 
   8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 32692] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - z^4/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 32693] -> 4*a^2 - 5*a^4 + 2*a^6 + 
   5*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + a^10*z^2 - z^4/a^2 + a^2*z^4 - 
   4*a^4*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 32694] -> 2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 32695] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 
   z^4 - a^2*z^4 + 2*a^4*z^4 - 5*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   3*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 32696] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32697] -> 
  2*a^4 + a^6 - 2*a^8 - a^10 + a^12 - a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32698] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 32699] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 32700] -> 
  3*a^4 - 2*a^6 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + 2*a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32701] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + 2*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 - 
   z^4/a^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 32702] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (7*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32703] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 32704] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32705] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 32706] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   6*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32707] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 32708] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 32709] -> 4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (31*z^2)/a^14 + (27*z^2)/a^12 + (12*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (23*z^4)/a^14 + (44*z^4)/a^12 + (23*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (28*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 32710] -> 6/a^16 - 17/a^14 + 11/a^12 + a^(-10) + 
   (9*z^2)/a^16 - (52*z^2)/a^14 + (50*z^2)/a^12 + (7*z^2)/a^10 - z^4/a^16 - 
   (46*z^4)/a^14 + (84*z^4)/a^12 + (17*z^4)/a^10 - (4*z^6)/a^16 - 
   (10*z^6)/a^14 + (65*z^6)/a^12 + (17*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + 
   (23*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 32711] -> 4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (23*z^2)/a^14 + (12*z^2)/a^12 + (20*z^2)/a^10 + z^2/a^8 - 
   (2*z^4)/a^16 - (14*z^4)/a^14 + (24*z^4)/a^12 + (32*z^4)/a^10 + 
   (4*z^4)/a^8 - z^6/a^16 + (18*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 32712] -> 3/a^16 - 7/a^14 + 5/a^10 + (2*z^2)/a^16 - 
   (18*z^2)/a^14 + (6*z^2)/a^12 + (22*z^2)/a^10 + z^2/a^8 - (2*z^4)/a^16 - 
   (12*z^4)/a^14 + (20*z^4)/a^12 + (33*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 + 
   (17*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 32713] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) - (8*z^2)/a^14 - z^2/a^12 + 
   (14*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (3*z^4)/a^14 + (7*z^4)/a^12 + 
   (19*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32714] -> 
  -2/a^6 + 3/a^4 + 8*z^2 - (5*z^2)/a^6 + (20*z^2)/a^4 - (20*z^2)/a^2 + 
   20*z^4 - (8*z^4)/a^6 + (41*z^4)/a^4 - (56*z^4)/a^2 + 18*z^6 - 
   (5*z^6)/a^6 + (36*z^6)/a^4 - (61*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 32715] -> 4 - 2/a^6 + 5/a^4 - 5/a^2 - 
   a^2 + 5*z^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - (15*z^2)/a^2 + a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (18*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32716] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - (3*z^2)/a^10 + (24*z^2)/a^8 - 
   (41*z^2)/a^6 + (21*z^2)/a^4 - (7*z^4)/a^10 + (43*z^4)/a^8 - (76*z^4)/a^6 + 
   (27*z^4)/a^4 - (5*z^6)/a^10 + (36*z^6)/a^8 - (69*z^6)/a^6 + (19*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 32717] -> 
  -a^(-10) + 5/a^8 - 8/a^6 + 4/a^4 + a^(-2) - (2*z^2)/a^10 + (15*z^2)/a^8 - 
   (21*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - 
   (23*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (13*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32718] -> 19 - 9/a^2 - 9*a^2 + 73*z^2 + (2*z^2)/a^4 - 
   (35*z^2)/a^2 - 31*a^2*z^2 + 116*z^4 + (7*z^4)/a^4 - (55*z^4)/a^2 - 
   39*a^2*z^4 + 94*z^6 + (5*z^6)/a^4 - (42*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 32719] -> 11 - 6/a^2 - 2*a^2 - 2*a^4 + 
   29*z^2 + z^2/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 31*z^4 + 
   (3*z^4)/a^4 - (18*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 17*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 32720] -> 
  8 - 3/a^4 + a^(-2) - 5*a^2 + 27*z^2 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   15*a^2*z^2 + 36*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 
   14*a^2*z^4 + 22*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 - 6*a^2*z^6 + 
   7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 32721] -> 6 - 2/a^4 - 2*a^2 - a^4 + 14*z^2 - 
   (4*z^2)/a^4 + z^2/a^2 - 4*a^4*z^2 + 15*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32722] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32723] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - 
   (6*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (14*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32724] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - z^2/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32725] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + (5*z^2)/a^8 - (27*z^2)/a^6 + 
   (42*z^2)/a^4 - (15*z^2)/a^2 + (8*z^4)/a^8 - (46*z^4)/a^6 + (74*z^4)/a^4 - 
   (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 32726] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 3*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (20*z^2)/a^4 - z^2/a^2 - 6*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (21*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32727] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 8*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (10*z^2)/a^4 - (18*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (5*z^4)/a^4 - (25*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 32728] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 32729] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 32730] -> -1 + a^(-2) + a^2 - z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 10*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 32731] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - (3*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 32732] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 + z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 - 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 32733] -> a^(-2) - a^2 + a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 7*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32734] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (7*z^2)/a^12 - (25*z^2)/a^10 + (22*z^2)/a^8 + z^2/a^6 + (11*z^4)/a^12 - 
   (47*z^4)/a^10 + (55*z^4)/a^8 - (12*z^4)/a^6 + (6*z^6)/a^12 - 
   (40*z^6)/a^10 + (58*z^6)/a^8 - (16*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + 
   (32*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + 
   z^12/a^8, Knot[15, Alternating, 32735] -> 2/a^12 - 6/a^10 + 5/a^8 - 
   2/a^6 + 2/a^4 + (4*z^2)/a^12 - (15*z^2)/a^10 + (14*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + (15*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 32736] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (11*z^2)/a^8 + (2*z^2)/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + (14*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 32737] -> 
  a^(-12) - 3/a^10 + 2/a^8 + a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32738] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 32739] -> 
  2 + a^(-6) - 3/a^2 + 2*a^2 - a^4 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32740] -> a^(-6) - 2/a^2 + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 32741] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 4*z^2 - (4*z^2)/a^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 32742] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 32743] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 4*a^2 - 
   16*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32744] -> 
  2*a^6 + 6*a^8 - 12*a^10 + 5*a^12 + 4*a^6*z^2 + 24*a^8*z^2 - 39*a^10*z^2 + 
   14*a^12*z^2 - 8*a^6*z^4 + 49*a^8*z^4 - 60*a^10*z^4 + 16*a^12*z^4 - 
   15*a^6*z^6 + 53*a^8*z^6 - 46*a^10*z^6 + 7*a^12*z^6 - 7*a^6*z^8 + 
   31*a^8*z^8 - 16*a^10*z^8 + a^12*z^8 - a^6*z^10 + 9*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 32745] -> 
  5*a^6 - 2*a^8 - 5*a^10 + 3*a^12 + a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 
   16*a^10*z^2 + 7*a^12*z^2 - 3*a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 
   20*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 8*a^8*z^6 - 
   11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 32746] -> 
  8*a^6 - 10*a^8 + 2*a^10 + a^12 - 2*a^4*z^2 + 21*a^6*z^2 - 20*a^8*z^2 - 
   2*a^10*z^2 + 4*a^12*z^2 - 7*a^4*z^4 + 23*a^6*z^4 - 13*a^8*z^4 - 
   11*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + a^8*z^6 - 9*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[15, Alternating, 32747] -> a^4 + 2*a^6 + a^8 - 6*a^10 + 
   3*a^12 + 3*a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 - 17*a^10*z^2 + 7*a^12*z^2 - 
   2*a^4*z^4 + 4*a^6*z^4 + 8*a^8*z^4 - 20*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   7*a^6*z^6 + 8*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 32748] -> 2*a^4 + a^6 - a^8 - 3*a^10 + 2*a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 
   a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32749] -> 
  3*a^4 - 3*a^8 + a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32750] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32751] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 32752] -> a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32753] -> -3 + a^(-4) + a^(-2) + 3*a^2 - 
   3*a^4 + 2*a^6 - 17*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32754] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 32755] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32756] -> 
  a^2 + a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 17*a^2*z^4 - 18*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32757] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32758] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32759] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 
   11*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   17*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 32760] -> 
  a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 3*a^10 - a^12 + 2*z^2 + a^2*z^2 - 9*a^4*z^2 + 
   19*a^6*z^2 - 13*a^8*z^2 + 5*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 13*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 7*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 32761] -> 
  -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 10*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 19*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 32762] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32763] -> a^2 + a^8 - a^10 + 2*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 
   10*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 32764] -> -a^(-14) + 3/a^12 - 4/a^10 + 
   a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - (8*z^2)/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (8*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 32765] -> -a^(-6) + a^(-4) + a^(-2) - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 32766] -> 
  1 - a^(-4) + 4*a^2 - 3*a^4 + 4*z^2 - (4*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 
   10*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + 
   z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 32767] -> 
  2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (13*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (7*z^4)/a^8 - (10*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 32768] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - (5*z^2)/a^10 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32769] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 12*z^2 - (2*z^2)/a^4 - 10*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - z^4/a^4 + (4*z^4)/a^2 - 11*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32770] -> 
  1 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32771] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 32772] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 + (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 32773] -> 6 - 3/a^2 - a^2 - a^4 + 10*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 32774] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (4*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 - 
   (6*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32775] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 
   (2*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 32776] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) + 
   z^2/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^10 - z^4/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32777] -> 2*a^2 - a^4 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32778] -> -1 + a^2 + 4*a^4 - 3*a^6 - 3*z^2 + 
   2*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   17*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32779] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 32780] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^8 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32781] -> 
  a^(-6) - a^(-4) + a^2 - 6*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32782] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - 
   (6*z^2)/a^10 + z^2/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32783] -> 
  -8 + 3/a^4 - 3/a^2 + 15*a^2 - 6*a^4 - 21*z^2 + (9*z^2)/a^4 - (12*z^2)/a^2 + 
   33*a^2*z^2 - 9*a^4*z^2 - 24*z^4 + (10*z^4)/a^4 - (19*z^4)/a^2 + 
   29*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 32784] -> -a^(-6) + 2/a^4 - a^2 + a^4 + 
   z^2/a^4 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32785] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 32786] -> -a^(-8) + 2/a^4 - z^2/a^14 + 
   (4*z^2)/a^12 - (6*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (5*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 32787] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 32788] -> 
  a^(-2) - a^2 + a^4 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32789] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (6*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (5*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 32790] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32791] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 32792] -> 2 + a^(-6) - 3/a^2 + 2*a^2 - 
   a^4 - 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32793] -> -1 + a^(-4) + a^2 - a^6 + a^8 - 4*z^2 - 
   z^2/a^4 + a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + (4*z^4)/a^2 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 32794] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32795] -> 
  a^2 + a^6 - a^8 + z^2 - a^2*z^2 + 4*a^6*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 
   2*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32796] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (5*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32797] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   11*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 - (9*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 32798] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 - a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + z^6 - z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32799] -> 
  a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - z^2/a^14 - (4*z^2)/a^12 + 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (2*z^4)/a^12 + (7*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 + z^6/a^10 - (3*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 32800] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^10 + (10*z^2)/a^6 - (15*z^2)/a^4 + 
   (7*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32801] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - (9*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32802] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 - 12*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32803] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + 
   z^2/a^6 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 32804] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 + z^2/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32805] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 - z^2/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32806] -> 
  -1 - a^(-6) + 3/a^2 - 5*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 - 7*z^4 + z^4/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 32807] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   9*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 32808] -> -3 - 2/a^4 + 5/a^2 + a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 7*a^2*z^4 - 13*z^6 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32809] -> a^(-4) - a^(-2) + a^2 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   3*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 32810] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (12*z^2)/a^10 + (6*z^2)/a^8 + (19*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (19*z^4)/a^10 + (22*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (23*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 32811] -> -2/a^10 + a^(-8) + 2/a^6 - 
   (3*z^2)/a^14 + (7*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (19*z^4)/a^12 - (18*z^4)/a^10 + (4*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (14*z^6)/a^12 - (21*z^6)/a^10 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (11*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 32812] -> a^(-12) - 4/a^10 + 3/a^8 - 
   a^(-6) + 3/a^4 - a^(-2) + z^2/a^12 - (8*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   (10*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32813] -> 
  -a^(-14) + 4/a^12 - 8/a^10 + 6/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (8*z^2)/a^12 - (14*z^2)/a^10 + (13*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (10*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32814] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 32815] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + (6*z^2)/a^6 - (15*z^2)/a^4 + 
   (8*z^2)/a^2 - (4*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - (18*z^4)/a^4 + 
   (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (4*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 32816] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32817] -> 
  2 + 2/a^8 - 5/a^6 + 5/a^4 - 3/a^2 + 3*z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 32818] -> -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + 
   a^2 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 32819] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 32820] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32821] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (13*z^4)/a^6 + (15*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + 
   (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 32822] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 + 11*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32823] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - z^4 - (4*z^4)/a^8 + z^4/a^6 + 
   (9*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 32824] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - z^4 + z^4/a^6 - z^4/a^4 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 32825] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32826] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 + 
   (4*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 32827] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 7*z^2 + z^2/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   5*z^4 + z^4/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 32828] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 
   13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 10*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32829] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 32830] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32831] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 32832] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + 3*a^2*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 
   6*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 
   2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32833] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - z^4/a^2 - 3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32834] -> 
  1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 13*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32835] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32836] -> 
  -4 + 3/a^2 + 2*a^2 - a^6 + a^8 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 10*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 32837] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 8*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   13*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 13*z^4 + z^4/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 11*z^6 + z^6/a^4 + a^2*z^6 + 
   2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 32838] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - z^2/a^6 + (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   4*z^6 - z^6/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 32839] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32840] -> 3 - a^(-2) - a^2 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 32841] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32842] -> a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32843] -> 
  a^2 + a^4 - a^6 - z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   9*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32844] -> a^2 + a^4 - a^6 - z^2 + a^2*z^2 + 
   3*a^4*z^2 - a^8*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 32845] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 32846] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 - 9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32847] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 9*z^4 - (6*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 32848] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32849] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 7*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (20*z^2)/a^4 + (23*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (2*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32850] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^10 + z^2/a^8 - (6*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 32851] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (10*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 - (15*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32852] -> 
  3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 5*z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32853] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   z^2/a^10 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 32854] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - z^4/a^10 - 
   (7*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32855] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32856] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (4*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 32857] -> 5 - 2/a^2 - 2*a^2 + 24*z^2 - 
   (7*z^2)/a^2 - 23*a^2*z^2 + 8*a^4*z^2 + 45*z^4 - (9*z^4)/a^2 - 57*a^2*z^4 + 
   20*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - 
   z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 32858] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 
   16*z^2 - (4*z^2)/a^6 + (25*z^2)/a^4 - (39*z^2)/a^2 + 25*z^4 - 
   (8*z^4)/a^6 + (45*z^4)/a^4 - (74*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + 
   (37*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 32859] -> 6 - 2/a^2 - 4*a^2 + a^4 + 10*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 32860] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 11*z^2 - z^2/a^8 + (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (25*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (29*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 32861] -> -3 - a^(-8) + a^(-6) - a^(-4) + 
   4/a^2 + a^2 - 6*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32862] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 15*z^2 - 
   (3*z^2)/a^6 + (13*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 22*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^4 - (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32863] -> 
  -3 - a^(-6) + 4/a^4 - 2/a^2 + 3*a^2 - 7*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (9*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 32864] -> 2 - a^(-4) + a^(-2) - a^2 + 9*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 13*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32865] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 45*z^2 + 
   (6*z^2)/a^4 - (30*z^2)/a^2 - 17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - 
   (49*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 32866] -> 
  7 - 3/a^2 - 3*a^2 + 20*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 - 
   9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 10*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 32867] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 32868] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - z^2/a^14 + 
   (4*z^2)/a^12 - (9*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 - (4*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32869] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (12*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32870] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 8*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 32871] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 3*z^2 - z^2/a^6 + (4*z^2)/a^2 - 
   10*a^2*z^2 + 4*a^4*z^2 - 3*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 32872] -> 
  2/a^8 - 6/a^6 + 5/a^4 - 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (10*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 32873] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 + 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 23*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 32874] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32875] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 5*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 32876] -> 3*a^4 - 2*a^6 - z^2 + 2*a^2*z^2 + 
   8*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 4*a^4*z^4 - 
   20*a^6*z^4 + 8*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 15*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 32877] -> a^2 + a^4 - a^6 - z^2 + 
   5*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 
   6*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 32878] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 - 
   a^2*z^2 + 17*a^4*z^2 - 8*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 24*a^4*z^4 - 
   9*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32879] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + 
   z^2/a^2 + 5*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 
   7*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 32880] -> 12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 22*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   13*z^4 + z^4/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 32881] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + 
   z^4/a^4 + (7*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 32882] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 32883] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32884] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 32885] -> 2 + a^(-4) - a^(-2) - 2*a^2 + 
   a^6 - z^2/a^6 + z^2/a^4 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 32886] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 + a^6*z^2 - 8*z^4 + (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 - a^4*z^4 + 
   a^6*z^4 - 3*z^6 - (3*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 32887] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + 
   (9*z^2)/a^8 - (31*z^2)/a^6 + (34*z^2)/a^4 - (10*z^2)/a^2 + (12*z^4)/a^8 - 
   (54*z^4)/a^6 + (65*z^4)/a^4 - (21*z^4)/a^2 + (6*z^6)/a^8 - (42*z^6)/a^6 + 
   (63*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (33*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 32888] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - z^2 + 
   (5*z^2)/a^8 - (15*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (15*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32889] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 22*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (14*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (7*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 32890] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32891] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + (3*z^2)/a^10 - (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (2*z^4)/a^6 + (14*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (7*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + (5*z^8)/a^6 + 
   (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 32892] -> 1 + (2*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 32893] -> 
  -2 + 5*a^2 - a^4 - a^6 - 9*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32894] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 7*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   8*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 32895] -> 
  -2/a^14 + 5/a^12 - 2/a^10 - 5/a^8 + 4/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (15*z^2)/a^12 - (10*z^2)/a^10 - (12*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (15*z^4)/a^10 - (19*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32896] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32897] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 32898] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 + 12*a^4*z^2 - 
   24*a^6*z^2 + 10*a^8*z^2 - 9*a^2*z^4 + 31*a^4*z^4 - 43*a^6*z^4 + 
   12*a^8*z^4 - 12*a^2*z^6 + 39*a^4*z^6 - 36*a^6*z^6 + 6*a^8*z^6 - 
   6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 32899] -> 
  1 + a^2 - 3*a^6 + 2*a^8 + z^2 - a^2*z^2 + 3*a^4*z^2 - 11*a^6*z^2 + 
   5*a^8*z^2 - 2*z^4 + a^2*z^4 + 5*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 
   5*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 32900] -> 2*a^6 + 5*a^8 - 10*a^10 + 4*a^12 + a^6*z^2 + 
   30*a^8*z^2 - 41*a^10*z^2 + 14*a^12*z^2 - 12*a^6*z^4 + 60*a^8*z^4 - 
   64*a^10*z^4 + 16*a^12*z^4 - 16*a^6*z^6 + 59*a^8*z^6 - 47*a^10*z^6 + 
   7*a^12*z^6 - 7*a^6*z^8 + 32*a^8*z^8 - 16*a^10*z^8 + a^12*z^8 - a^6*z^10 + 
   9*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 32901] -> 
  6*a^6 - 6*a^8 + a^12 - 2*a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 - 9*a^10*z^2 + 
   6*a^12*z^2 - 7*a^4*z^4 + 20*a^6*z^4 - 3*a^8*z^4 - 18*a^10*z^4 + 
   5*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 6*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 32902] -> a^4 + a^6 + 3*a^8 - 7*a^10 + 3*a^12 + 
   2*a^4*z^2 + 3*a^6*z^2 + 10*a^8*z^2 - 19*a^10*z^2 + 7*a^12*z^2 - 
   3*a^4*z^4 + 6*a^6*z^4 + 11*a^8*z^4 - 21*a^10*z^4 + 5*a^12*z^4 - 
   4*a^4*z^6 + 8*a^6*z^6 + 9*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 32903] -> 2*a^4 + a^6 - 2*a^8 - a^10 + a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 32904] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 9*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 32905] -> 2 + a^(-6) - a^(-4) - a^(-2) - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32906] -> 
  a^4 + 3*a^6 - 2*a^8 - 3*a^10 + 2*a^12 + 2*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 
   12*a^10*z^2 + 5*a^12*z^2 - a^4*z^4 + 4*a^6*z^4 + 6*a^8*z^4 - 15*a^10*z^4 + 
   4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 32907] -> 3*a^4 - a^6 - a^8 - a^10 + a^12 + 
   4*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 32908] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (12*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 32909] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32910] -> 
  1 + z^2 + z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32911] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 32912] -> 
  -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + (3*z^2)/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - 
   (5*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32913] -> 3/a^16 - 9/a^14 + 5/a^12 + a^(-10) + 
   a^(-8) + (2*z^2)/a^16 - (17*z^2)/a^14 + (13*z^2)/a^12 + (9*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (7*z^4)/a^14 + (16*z^4)/a^12 + 
   (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32914] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32915] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (2*z^2)/a^16 - (19*z^2)/a^14 + (12*z^2)/a^12 + (15*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (9*z^4)/a^14 + (19*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 32916] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 - z^2/a^14 - z^2/a^12 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 + z^4/a^10 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32917] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 9*z^2 - 
   z^2/a^4 + z^2/a^2 - 15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 32918] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (3*z^2)/a^12 - (17*z^2)/a^10 + 
   (14*z^2)/a^8 + (11*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (14*z^4)/a^10 + (20*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (12*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32919] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32920] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32921] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + 
   (8*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32922] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^6 - 
   z^6/a^4 - (10*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 32923] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 14*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 32924] -> 
  2 - a^2 - a^4 + a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - 8*z^4 - z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32925] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 - 5*a^2*z^2 + 14*a^4*z^2 - 
   6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 19*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32926] -> 
  2 - a^(-4) + a^(-2) - a^2 + 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 32927] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (13*z^2)/a^6 + (12*z^2)/a^4 + (11*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + z^4/a^8 - (13*z^4)/a^6 + (17*z^4)/a^4 + (17*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + 
   z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 32928] -> 
  1 - 3*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32929] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   15*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 19*a^2*z^4 + 
   7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 32930] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (13*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32931] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32932] -> 1 + a^(-2) - 2*a^2 + a^6 - z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - z^4/a^2 - a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 32933] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 + 
   z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - (11*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (14*z^4)/a^8 - (18*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32934] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32935] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32936] -> -1 + 2/a^2 - a^2 + a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - z^4 - z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 32937] -> 
  -a^(-12) + a^(-10) + 2/a^8 - 3/a^6 + 2/a^2 + z^2 - z^2/a^12 + 
   (6*z^2)/a^10 + (2*z^2)/a^8 - (9*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 - (13*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 32938] -> a^(-6) - a^(-4) + a^2 - 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 32939] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 13*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32940] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (19*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (20*z^4)/a^8 + (20*z^4)/a^6 - 
   (15*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (12*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 32941] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   2*z^2 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 32942] -> 
  -2 - 2/a^8 + 5/a^6 - 5/a^4 + 4/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32943] -> 
  -2 - 2/a^8 + 5/a^6 - 5/a^4 + 4/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (23*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (32*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 32944] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 
   11*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 32945] -> a^(-2) - a^6 + a^8 - z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 32946] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 32947] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   z^2/a^14 + (3*z^2)/a^12 + (6*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (15*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 32948] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - 
   a^8 - 2*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32949] -> 
  a^(-2) - 2*a^4 + 3*a^6 - a^8 - 5*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 
   15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32950] -> 1 + a^(-6) - 2/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 32951] -> 
  a^2 - a^8 + 3*a^10 - 2*a^12 + 3*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 
   11*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 
   11*a^6*z^4 - 21*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 32952] -> a^6 + a^8 + a^10 - 2*a^12 + 
   a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 32953] -> a^(-2) - a^6 + a^8 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 32954] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 
   5*a^10*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 5*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 32955] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + z^2 + a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 32956] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 32957] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 + a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32958] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 2*a^2*z^2 - 4*a^4*z^2 + 
   17*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   14*a^4*z^4 + 24*a^6*z^4 - 19*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 32959] -> 3*a^4 - 3*a^6 + a^8 + a^10 - 
   a^12 + z^2 - 2*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 + 
   z^4 - 5*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32960] -> 
  -2 + a^(-4) + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - z^2/a^4 + 5*a^2*z^2 - 14*z^4 - 
   z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32961] -> 
  -1 + a^(-4) + a^4 - 4*z^2 + z^2/a^6 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 32962] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 
   8*a^2*z^2 - 16*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   14*a^2*z^4 - 25*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 
   16*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 32963] -> 2*a^2 - 3*a^4 + 4*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 17*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 23*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32964] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 32965] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 
   19*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 32966] -> -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 32967] -> 
  4*a^6 - 6*a^10 + 3*a^12 - 2*a^4*z^2 + 15*a^6*z^2 - a^8*z^2 - 16*a^10*z^2 + 
   7*a^12*z^2 - 7*a^4*z^4 + 19*a^6*z^4 + 2*a^8*z^4 - 20*a^10*z^4 + 
   5*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 7*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 32968] -> a^4 + 4*a^6 - 5*a^8 + a^12 - a^2*z^2 + 
   4*a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 - 3*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 8*a^6*z^4 - 6*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 7*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 32969] -> a^4 + 3*a^6 - 2*a^8 - 3*a^10 + 
   2*a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 32970] -> 
  3*a^4 - a^6 - a^8 - a^10 + a^12 + 5*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 - 
   a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 32971] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 32972] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 32973] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 - a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   2*a^2*z^4 - 9*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   5*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 32974] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 
   a^12*z^2 - 3*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 32975] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (13*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32976] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 32977] -> 
  -a^(-4) + 2/a^2 - 7*z^2 - (2*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   11*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 32978] -> 2*a^2 - a^4 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 32979] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32980] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 3*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32981] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   5*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 32982] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (14*z^2)/a^14 + 
   (11*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (6*z^4)/a^14 + (16*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 32983] -> -2/a^6 + 3/a^4 - z^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + 
   (6*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 32984] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - 11*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 32985] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (12*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 32986] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (5*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 32987] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   z^2/a^14 - z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + z^4/a^10 - (3*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 32988] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (18*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (15*z^4)/a^8 - 
   (21*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (12*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 32989] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 6*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 32990] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 6*z^2 + (2*z^2)/a^8 - (13*z^2)/a^6 + 
   (16*z^2)/a^4 + (6*z^2)/a^2 - 8*z^4 + z^4/a^8 - (12*z^4)/a^6 + 
   (17*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (11*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 32991] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   6*a^2*z^2 + 15*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 32992] -> 5 - 2/a^2 - 2*a^2 + 13*z^2 - (6*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 15*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 32993] -> 
  2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + (3*z^2)/a^12 - (15*z^2)/a^10 + 
   (13*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (13*z^4)/a^10 + 
   (17*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (11*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32994] -> 
  1 - a^(-10) + 5/a^8 - 6/a^6 + a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (12*z^2)/a^8 - (11*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (12*z^4)/a^8 - (15*z^4)/a^6 - (15*z^4)/a^4 + z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 32995] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^4 + (2*z^2)/a^2 - 16*a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 20*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 32996] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (11*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (13*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 32997] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   z^4/a^10 - (4*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 32998] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + 
   z^2/a^4 + z^4 - z^4/a^10 + (3*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 32999] -> 
  3*a^4 - 2*a^6 - z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 33000] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33001] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 33002] -> 
  1 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33003] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 9*z^2 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (31*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 33004] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33005] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 33006] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (3*z^4)/a^10 - 
   (13*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 33007] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33008] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 33009] -> -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + 
   a^2 - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33010] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33011] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^4 + 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 33012] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33013] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   z^2 + z^2/a^10 + (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33014] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (10*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33015] -> -2/a^6 + 4/a^4 - a^(-2) - a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (5*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33016] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 
   a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - 
   2*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 33017] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 2*a^2*z^2 - 2*a^4*z^2 + 
   13*a^6*z^2 - 18*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 
   9*a^4*z^4 + 16*a^6*z^4 - 23*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 33018] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + z^2 - a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 33019] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + 3*z^2 - (3*z^2)/a^4 - 5*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33020] -> -2 + 7*a^2 - 8*a^4 + 7*a^6 - 3*a^8 - 8*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33021] -> 
  -3 + 8*a^2 - 6*a^4 + 4*a^6 - 2*a^8 - 10*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 
   17*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 
   21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33022] -> 1 - a^(-2) + 2*a^2 - a^4 + a^6 - a^8 + 
   4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + 3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 33023] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + z^4/a^6 - (5*z^4)/a^4 + (17*z^4)/a^2 + 
   17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33024] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + 
   z^2/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33025] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - 4*a^2*z^2 - 
   a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33026] -> 6*a^6 - 5*a^8 - 2*a^10 + 2*a^12 - 
   2*a^4*z^2 + 17*a^6*z^2 - 9*a^8*z^2 - 9*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 
   17*a^6*z^4 - 3*a^8*z^4 - 14*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   11*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 33027] -> 2*a^4 + 2*a^6 - 4*a^8 + a^12 - a^2*z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 33028] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 8*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 33029] -> a^(-6) - a^(-2) + a^4 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33030] -> 
  2*a^4 + 2*a^6 - 4*a^8 + a^12 + 2*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 
   a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 11*a^6*z^4 - 11*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 33031] -> 
  -1 + 4*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33032] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2/a^2 + 
   7*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 33033] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33034] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 
   9*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 
   12*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 33035] -> 1 - 2*a^2 + 3*a^4 - a^8 + 
   2*z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33036] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - (9*z^2)/a^10 + 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (12*z^4)/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33037] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (3*z^2)/a^10 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (2*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 33038] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + z^6/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33039] -> 
  3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (16*z^2)/a^14 + 
   (11*z^2)/a^12 + (12*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (6*z^4)/a^14 + (16*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 33040] -> a^(-14) - 2/a^12 - 2/a^10 + 3/a^8 + a^(-6) - 
   z^2/a^14 - z^2/a^12 - (2*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33041] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33042] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 33043] -> 5 + 2/a^4 - 4/a^2 - 3*a^2 + 
   a^6 + 9*z^2 + z^2/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   10*z^4 - (2*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   7*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 33044] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 
   2*a^4 + 12*z^2 - z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 12*a^2*z^2 + 
   3*a^4*z^2 + 8*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + (2*z^6)/a^4 - (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 33045] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 33046] -> -a^(-4) + 2/a^2 + z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33047] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33048] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (10*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33049] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 2*z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 33050] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 33051] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   20*z^2 + z^2/a^6 - (5*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 
   26*z^4 + z^4/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 33052] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (8*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33053] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33054] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 6*a^2*z^2 - 13*a^4*z^2 + 
   19*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 19*a^4*z^4 + 
   23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 33055] -> 3*a^2 - 3*a^4 + a^6 - 13*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33056] -> -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 
   2*a^4 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 33057] -> 3*a^4 - 3*a^8 + a^12 - a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 - 5*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 2*a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 33058] -> a^2 + 2*a^4 - 2*a^6 - a^10 + 
   a^12 + a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 
   z^4 + a^4*z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 33059] -> -2 + a^(-6) + a^2 + a^4 - 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33060] -> -2 - a^(-8) + 4/a^6 - 4/a^4 + 3/a^2 - a^2 + 
   2*a^4 - (2*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33061] -> 
  1 + a^(-6) - a^(-2) - a^2 + a^6 + 2*z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 + z^4/a^4 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 33062] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 5*z^4 + z^4/a^2 + 13*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33063] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   18*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33064] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33065] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33066] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 2*z^2 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33067] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 33068] -> 
  3 - 10*a^2 + 14*a^4 - 6*a^6 + 11*z^2 - 41*a^2*z^2 + 51*a^4*z^2 - 
   17*a^6*z^2 + 21*z^4 - 70*a^2*z^4 + 72*a^4*z^4 - 17*a^6*z^4 + 18*z^6 - 
   64*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 33069] -> -1 + a^(-2) - 3*a^2 + 8*a^4 - 4*a^6 - 
   3*z^2 + (2*z^2)/a^2 - 10*a^2*z^2 + 22*a^4*z^2 - 8*a^6*z^2 - 7*z^4 + 
   (5*z^4)/a^2 - 12*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 33070] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 7*a^4*z^2 - 14*a^6*z^2 + 18*a^8*z^2 - 
   7*a^10*z^2 + 11*a^4*z^4 - 34*a^6*z^4 + 39*a^8*z^4 - 11*a^10*z^4 + 
   12*a^4*z^6 - 40*a^6*z^6 + 35*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 
   25*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 33071] -> a^2 + a^4 - 2*a^6 + 2*a^8 - 
   a^10 + a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 + 
   2*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 
   5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 33072] -> -3 - a^(-8) + 5/a^6 - 7/a^4 + 5/a^2 + 
   2*a^2 - 11*z^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - (24*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (29*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (17*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 33073] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 22*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33074] -> -3 - a^(-4) + 4/a^2 + a^4 - 14*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 33075] -> 
  -8 - a^(-8) + 5/a^6 - 8/a^4 + 9/a^2 + 4*a^2 - 18*z^2 - (4*z^2)/a^8 + 
   (15*z^2)/a^6 - (25*z^2)/a^4 + (23*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (29*z^4)/a^4 + (27*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (10*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 33076] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 2*a^4 - 
   4*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (12*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33077] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33078] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 7*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 33079] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - 
   a^10 + 2*a^2*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 
   6*a^4*z^4 - 3*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 33080] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 5*z^2 + (2*z^2)/a^8 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33081] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   22*a^2*z^2 - 8*a^4*z^2 - 12*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33082] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33083] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 33084] -> -3 - 3/a^4 + 6/a^2 + 2*a^2 - 
   a^4 - 10*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   13*z^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33085] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (4*z^2)/a^10 + (8*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33086] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33087] -> -3 - 4/a^4 + 8/a^2 - 10*z^2 + z^2/a^6 - 
   (10*z^2)/a^4 + (22*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^6 - (6*z^4)/a^4 + 
   (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33088] -> 
  -5/a^8 + 9/a^6 - 4/a^4 + a^(-2) - (4*z^2)/a^10 + z^2/a^8 + (18*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (12*z^4)/a^8 + (9*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33089] -> 
  -3/a^10 + 5/a^8 - 2/a^6 + a^(-2) - (2*z^2)/a^12 + (12*z^2)/a^8 - 
   (7*z^2)/a^6 + (3*z^2)/a^2 - z^4/a^12 + (5*z^4)/a^10 + (7*z^4)/a^8 - 
   (11*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 + (2*z^6)/a^10 - z^6/a^8 - 
   (8*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 33090] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33091] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 33092] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 
   6/a^2 - 5*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (12*z^4)/a^6 - 
   (16*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 33093] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 
   2*z^2 + z^2/a^6 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33094] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 
   5*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33095] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 - (3*z^2)/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 - 2*z^4 + z^4/a^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33096] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33097] -> -1 - 3/a^4 + 5/a^2 + a^2 - a^4 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33098] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 7*z^4 - z^4/a^2 + 
   19*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 33099] -> 2 + a^(-4) - 2/a^2 + a^2 - 
   2*a^4 + a^6 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 33100] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 9*a^8*z^2 - 
   5*a^10*z^2 + 2*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 33101] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + z^4 - 2*a^4*z^4 + 3*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 33102] -> 
  6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 5*z^2 - z^2/a^4 - a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33103] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33104] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 33105] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33106] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 33107] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 
   5*z^2 - z^2/a^4 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33108] -> 5 + a^(-4) - 4/a^2 - a^4 + 3*z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33109] -> 
  2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33110] -> 
  a^(-12) - 2/a^10 + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (10*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33111] -> 
  1 - 2/a^10 + 4/a^8 - a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (16*z^2)/a^8 - (10*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (15*z^4)/a^8 - (19*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 + z^6 + 
   (4*z^6)/a^8 - (13*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33112] -> 
  1 - a^(-12) + a^(-10) + 2/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - 
   z^2/a^12 + (6*z^2)/a^10 + (3*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (3*z^4)/a^8 - (14*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 33113] -> -2/a^14 + 5/a^12 - 2/a^10 - 4/a^8 + 2/a^6 + 
   2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (7*z^2)/a^10 - (10*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (13*z^4)/a^10 - 
   (14*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 33114] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - (4*z^4)/a^2 + 
   a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 33115] -> 1 + a^(-4) - a^(-2) - a^4 + 
   a^6 + 2*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   z^4/a^4 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33116] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + (3*z^2)/a^16 - 
   (17*z^2)/a^14 + (7*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 - 
   (19*z^4)/a^14 + (27*z^4)/a^12 + (24*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   (4*z^6)/a^14 + (23*z^6)/a^12 + (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 33117] -> 
  a^4 + 2*a^6 - 2*a^8 - z^2 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 10*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33118] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (2*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (7*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 33119] -> a^(-12) - 3/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (9*z^4)/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33120] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (4*z^2)/a^14 + (15*z^2)/a^12 - (16*z^2)/a^10 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (24*z^4)/a^12 - (27*z^4)/a^10 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - 
   (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 33121] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33122] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^4 + 4*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33123] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + 
   (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (8*z^4)/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33124] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 33125] -> -3 - 4/a^6 + 6/a^4 + a^(-2) + a^2 - 9*z^2 - 
   (6*z^2)/a^6 + (14*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (5*z^4)/a^6 + (14*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33126] -> a^(-8) - 4/a^6 + 4/a^4 + z^2 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33127] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33128] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33129] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + 
   z^4/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 33130] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33131] -> -3 - 3/a^6 + 4/a^4 + 2/a^2 + a^2 - 15*z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - 
   (4*z^4)/a^6 + (13*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33132] -> 
  -2 - a^(-8) + 2/a^4 + a^(-2) + a^2 - 6*z^2 - z^2/a^8 + (8*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 + z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 33133] -> 
  -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 3*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 33134] -> 
  -3 - 3/a^6 + 4/a^4 + 2/a^2 + a^2 - 11*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33135] -> 
  -3 - 3/a^6 + 4/a^4 + 2/a^2 + a^2 - 9*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33136] -> 
  -2 - a^(-8) + 2/a^4 + a^(-2) + a^2 - 4*z^2 - z^2/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33137] -> -a^(-14) + 2/a^12 + a^(-10) - 5/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 + (3*z^2)/a^10 - (13*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - 
   (15*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 33138] -> 
  -a^(-10) + 2/a^8 - a^(-4) + a^2 - z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33139] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 2*a^8 - a^10 - 
   5*z^2 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 33140] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33141] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33142] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^6 + z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 33143] -> 
  3*a^4 - 6*a^6 + 8*a^8 - 4*a^10 + 10*a^4*z^2 - 27*a^6*z^2 + 38*a^8*z^2 - 
   14*a^10*z^2 + 18*a^4*z^4 - 56*a^6*z^4 + 63*a^8*z^4 - 16*a^10*z^4 + 
   17*a^4*z^6 - 58*a^6*z^6 + 47*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 33144] -> a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 
   2*a^2*z^2 - 7*a^6*z^2 + 18*a^8*z^2 - 7*a^10*z^2 + 4*a^2*z^4 - 5*a^4*z^4 - 
   10*a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 9*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 33145] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + a^2*z^2 + 3*a^4*z^2 - 9*a^6*z^2 + 
   18*a^8*z^2 - 7*a^10*z^2 + 4*a^2*z^4 - 4*a^4*z^4 - 10*a^6*z^4 + 
   21*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 33146] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + z^4 + a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 33147] -> -2 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + 
   2*a^2 - 11*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (22*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (30*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 33148] -> -4 + 3/a^2 + 3*a^2 - 3*a^4 + 
   2*a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33149] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (8*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33150] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 33151] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 6*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33152] -> 1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + 
   z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33153] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33154] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 + z^2/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 + z^4 - z^4/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 33155] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - (10*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - 
   (15*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33156] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (11*z^4)/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33157] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33158] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 9*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33159] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   5*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33160] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33161] -> a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (7*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33162] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (12*z^4)/a^8 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33163] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33164] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33165] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   3*z^2 + z^2/a^8 - z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33166] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33167] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33168] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 - (11*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (12*z^4)/a^10 - (14*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33169] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) - 
   z^2/a^14 + (4*z^2)/a^12 - (6*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 33170] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^10 - z^2/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^10 - z^4/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33171] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33172] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33173] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 9*z^2 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 33174] -> -a^(-4) + 2/a^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33175] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 15*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33176] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33177] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33178] -> 
  -a^(-8) + 2/a^4 - 2*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 + a^2*z^2 - 
   3*z^4 - z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 33179] -> 
  1 - 2/a^10 + 3/a^8 - a^(-4) + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (6*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 33180] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 
   z^2 + (6*z^2)/a^4 - (12*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + 
   (7*z^4)/a^4 - (17*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33181] -> 
  -a^2 + 2*a^4 + 3*a^6 - 3*a^8 + z^2 - 3*a^2*z^2 + a^4*z^2 + 15*a^6*z^2 - 
   7*a^8*z^2 + 4*z^4 - 6*a^2*z^4 - 5*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 
   4*z^6 - 8*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 33182] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33183] -> a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33184] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (9*z^2)/a^14 + (2*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + (10*z^4)/a^12 + (15*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 33185] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (7*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (8*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33186] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (8*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33187] -> 
  2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 - z^2 + (8*z^2)/a^4 - (16*z^2)/a^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (10*z^4)/a^4 - (22*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 33188] -> 2 + a^(-6) - 2/a^4 + a^2 - a^4 + 
   5*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 33189] -> 
  -1 + 2*a^2 + a^4 - a^8 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 33190] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 
   2*a^4 + 3*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33191] -> 
  a^(-14) - 4/a^12 + 2/a^10 + 2/a^8 - a^(-6) + a^(-4) - z^2/a^14 - 
   (4*z^2)/a^12 + (7*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (2*z^4)/a^12 + (8*z^4)/a^10 + z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 + z^6/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33192] -> 
  1 - 3/a^8 + 4/a^6 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33193] -> 
  1 - 3/a^8 + 4/a^6 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^10 - z^2/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33194] -> 1 - a^(-10) + 2/a^6 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33195] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33196] -> a^(-2) - a^4 + a^6 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 33197] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 + (2*z^2)/a^10 - (13*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (15*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33198] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33199] -> -1 + 3/a^4 - 5/a^2 + 7*a^2 - 3*a^4 - 
   10*z^2 + (7*z^2)/a^4 - (12*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + 
   (7*z^4)/a^4 - (14*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33200] -> 
  2 + a^(-6) - 3/a^2 + 2*a^2 - a^4 + 2*z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (8*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33201] -> 3 + 2/a^6 - 4/a^4 + a^(-2) - a^2 + 6*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 + z^4/a^6 - (12*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33202] -> 3 - 5*a^2 + 7*a^6 - 4*a^8 + 8*z^2 - 
   14*a^2*z^2 - 7*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 9*z^4 - 18*a^2*z^4 - 
   16*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 33203] -> 
  a^(-2) - 3*a^2 + 3*a^4 + 2*a^6 - 2*a^8 - 2*z^2 + (3*z^2)/a^2 - 9*a^2*z^2 + 
   6*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 12*a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33204] -> -3 + 2/a^2 + 3*a^4 - a^8 - 7*z^2 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33205] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33206] -> 1 - a^(-8) + 4/a^6 - 4/a^4 + a^(-2) - a^2 + 
   a^4 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33207] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 6*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33208] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 33209] -> 2 + a^(-4) - 2/a^2 - a^2 + 
   2*a^4 - a^6 - z^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33210] -> -1 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + a^4 + 
   z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33211] -> -4 + 3/a^2 + 3*a^2 - 2*a^4 + a^8 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 33212] -> a^(-10) - 2/a^8 + 2/a^6 - a^(-4) + a^2 - 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33213] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (6*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 33214] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 - 3*z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   9*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   9*z^6 + z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33215] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 10*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33216] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 12*z^2 - 
   (5*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33217] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 
   3*z^2 - z^2/a^10 + (6*z^2)/a^8 + z^2/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (10*z^4)/a^6 - (17*z^4)/a^4 + z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33218] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 - z^2/a^6 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33219] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (6*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - z^6/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33220] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33221] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 - z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 33222] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - a^2 + 2*a^4 - a^6 + 3*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33223] -> 
  -3 + a^(-4) - a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   20*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + (6*z^4)/a^4 - (9*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33224] -> a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 + 
   z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 33225] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 8*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33226] -> a^(-6) - a^(-2) + a^4 - 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33227] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 4*z^2 + 
   16*a^2*z^2 - 22*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   23*a^2*z^4 - 26*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 33228] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 3*a^2*z^4 - 
   4*a^4*z^4 - 4*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 33229] -> 
  -1 + 4*a^2 - 4*a^4 + 5*a^6 - 4*a^8 + a^10 - 7*z^2 + 21*a^2*z^2 - 
   22*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 8*z^4 + 30*a^2*z^4 - 
   30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 19*a^2*z^6 - 17*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33230] -> -2 + 2/a^6 - 3/a^4 + 3/a^2 + a^6 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 33231] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33232] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 
   11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   z^4/a^4 + (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33233] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 2*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33234] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33235] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 33236] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 
   3/a^4 + 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33237] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + 4*a^2*z^4 - 7*a^4*z^4 - 
   a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 33238] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + a^2*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + z^4 - 
   3*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 33239] -> 
  3 - 6*a^2 + 3*a^4 + 4*a^6 - 3*a^8 + 6*z^2 - 16*a^2*z^2 + 5*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 19*a^2*z^4 - a^4*z^4 + 20*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 33240] -> a^(-2) - 3*a^2 + 3*a^4 + 2*a^6 - 2*a^8 - 
   z^2 + z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33241] -> 2 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) - a^2 + 
   a^4 + 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 33242] -> -4 + 3/a^2 + a^2 + 2*a^4 - 
   2*a^6 + a^8 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 33243] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33244] -> 2/a^6 - 3/a^4 + 2/a^2 - a^2 + a^6 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   6*z^4 + (3*z^4)/a^6 + z^4/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 33245] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 33246] -> 
  a^(-2) - 3*a^2 + 4*a^4 - a^8 - 4*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33247] -> 
  3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 6*z^2 + z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33248] -> a^2 + a^6 - a^8 - 2*z^2 + 3*a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33249] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 33250] -> 
  -11 - 2/a^6 + 10/a^2 + 4*a^2 - 30*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 + 
   (15*z^2)/a^2 + 12*a^2*z^2 - 34*z^4 - (4*z^4)/a^6 + (17*z^4)/a^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 - z^6/a^6 + (10*z^6)/a^4 - (7*z^6)/a^2 + 
   6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33251] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33252] -> 2/a^12 - 2/a^10 - 9/a^8 + 14/a^6 - 4/a^4 + 
   (5*z^2)/a^12 - (13*z^2)/a^10 - (11*z^2)/a^8 + (37*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^4)/a^12 - (18*z^4)/a^10 + z^4/a^8 + (39*z^4)/a^6 - 
   (13*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (8*z^6)/a^8 + (22*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 33253] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 33254] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (16*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33255] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 33256] -> 1 - 3*z^2 + z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33257] -> 2*a^2 - 2*a^6 + a^8 - 4*z^2 + 9*a^2*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 2*a^4*z^4 - 14*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 33258] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (16*z^4)/a^4 - (4*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (19*z^6)/a^4 + z^6/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33259] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33260] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 33261] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 
   6*a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 
   3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33262] -> 
  -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (15*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - (8*z^4)/a^10 + (22*z^4)/a^8 - 
   (12*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 33263] -> 
  2 - a^(-10) + 4/a^8 - 4/a^6 + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33264] -> 
  -2 + a^(-6) - a^(-4) + 5*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33265] -> 
  2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33266] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 - (4*z^2)/a^6 + 
   (14*z^2)/a^4 - (12*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (6*z^4)/a^6 + 
   (17*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33267] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 33268] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (11*z^2)/a^12 - (8*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - (14*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33269] -> -9 - 2/a^6 + 9/a^2 + 3*a^2 - 25*z^2 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 28*z^4 - 
   (4*z^4)/a^6 + (14*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33270] -> 
  -a^(-8) - a^(-6) + 6/a^4 - 4/a^2 + a^2 - 3*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 33271] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + 
   (2*z^4)/a^12 - (4*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33272] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   (4*z^2)/a^12 - (18*z^2)/a^10 + (21*z^2)/a^8 + (4*z^4)/a^12 - 
   (25*z^4)/a^10 + (34*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (28*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33273] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 - 
   (5*z^2)/a^10 - (2*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (3*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33274] -> 
  7 - 3/a^2 - 3*a^2 + 21*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - (6*z^2)/a^2 - 
   9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 
   17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 33275] -> -5 + 2/a^4 + 4*a^2 - 16*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 17*z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33276] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33277] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 10*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33278] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33279] -> 
  -1 + 2/a^8 - 4/a^6 + 4/a^2 - 4*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 33280] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 - z^2/a^8 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33281] -> 6 - 4/a^2 + 2*a^2 - 3*a^4 + 25*z^2 + 
   (3*z^2)/a^4 - (20*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 44*z^4 + 
   (4*z^4)/a^4 - (30*z^4)/a^2 + 15*a^2*z^4 - 12*a^4*z^4 + 36*z^6 + z^6/a^4 - 
   (17*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 33282] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 16*z^2 + z^2/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 33283] -> 4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 - 2*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33284] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^4*z^2 + 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 33285] -> 
  1 - a^(-6) + a^(-4) + a^2 - a^4 + 5*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 33286] -> -2 - 2/a^6 + 4/a^4 + a^4 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33287] -> -1 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 
   a^4 - 4*z^2 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 33288] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - z^2/a^6 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 - 6*z^4 - z^4/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 33289] -> 1 + a^(-2) - 2*a^2 + a^6 - z^2 - 
   z^2/a^6 + (3*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 33290] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + z^2/a^2 - 6*a^2*z^2 + 19*a^4*z^2 - 
   8*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 25*a^4*z^4 - 9*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 3*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33291] -> 
  3*a^4 - 2*a^6 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 + 6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33292] -> 2*a^2 - a^4 - 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33293] -> 
  -a^6 + 9*a^8 - 9*a^10 + 2*a^12 - a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 
   24*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   14*a^6*z^4 + 25*a^8*z^4 - 16*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 14*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 33294] -> -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - 
   2*a^2*z^2 + 13*a^6*z^2 + 3*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 4*a^4*z^4 + 13*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 33295] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (15*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 33296] -> 
  3 - a^(-2) - a^2 + 6*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33297] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 + 17*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33298] -> 2 - 2/a^6 + 7/a^4 - 7/a^2 + a^2 - 2*z^2 - 
   (5*z^2)/a^6 + (19*z^2)/a^4 - (18*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (8*z^4)/a^6 + (22*z^4)/a^4 - (13*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33299] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   8*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   8*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 33300] -> 
  -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 - z^2 - a^2*z^2 + 4*a^4*z^2 + 13*a^6*z^2 - 
   7*a^8*z^2 + 3*z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 
   4*z^6 - 7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 33301] -> -1 + a^2 + 2*a^4 + a^6 - 2*a^8 + z^2 - 
   z^2/a^2 + 5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33302] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 - 2*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (6*z^4)/a^4 - 
   (11*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33303] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + (2*z^2)/a^16 - (19*z^2)/a^14 + 
   (15*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^16 - 
   (13*z^4)/a^14 + (28*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (19*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 33304] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (7*z^2)/a^14 + (2*z^2)/a^12 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 33305] -> -1 + 2/a^8 - 4/a^6 + 4/a^2 - 4*z^2 + 
   (8*z^2)/a^8 - (14*z^2)/a^6 - (4*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (9*z^4)/a^8 - (21*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33306] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33307] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 10*z^2 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 + 13*z^4 - (6*z^4)/a^2 + 
   12*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 33308] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 13*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   18*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33309] -> 2 - a^(-4) + a^(-2) - 2*a^4 + a^6 + 5*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 33310] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 33311] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   a^4*z^2 - 12*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 33312] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 33313] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 14*z^4 - z^4/a^4 + (5*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33314] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 - z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 33315] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 2*z^2 + 12*a^2*z^2 - 16*a^4*z^2 + 
   7*a^6*z^2 - z^4/a^2 + 10*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 
   2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 33316] -> -2/a^6 + 3/a^4 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 + (5*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33317] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 6*z^2 - (5*z^2)/a^6 + (22*z^2)/a^4 - 
   (26*z^2)/a^2 + 2*a^2*z^2 + 2*z^4 - (4*z^4)/a^6 + (27*z^4)/a^4 - 
   (37*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + (15*z^6)/a^4 - (29*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 33318] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (3*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 + 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (14*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 33319] -> a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 
   12*a^4*z^4 - 3*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 33320] -> 2*a^2 - 6*a^4 + 9*a^6 - 3*a^8 - a^10 + 
   7*a^2*z^2 - 18*a^4*z^2 + 19*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 + 9*a^2*z^4 - 
   24*a^4*z^4 + 11*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 33321] -> 1 - 2*a^2 + a^4 + 3*a^6 - a^8 - a^10 + 
   3*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 
   3*z^4 - 5*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 33322] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 15*z^4 + (5*z^4)/a^2 + 
   11*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 33323] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33324] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33325] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - z^2 - 
   z^2/a^8 + (10*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33326] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 33327] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33328] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33329] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   z^2/a^2 + 4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33330] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (17*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (19*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 33331] -> -a^(-12) + 4/a^10 - 5/a^8 + 
   a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (7*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (8*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33332] -> -2/a^14 + 6/a^12 - 5/a^10 - 3/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (14*z^2)/a^10 - (9*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - 
   (18*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33333] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 33334] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 18*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33335] -> -4 + a^(-2) + 8*a^2 - 6*a^4 + 3*a^6 - a^8 - 
   12*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33336] -> 
  2 + a^(-10) - 3/a^8 + 5/a^6 - 4/a^4 + 3*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33337] -> 
  -3 + a^(-2) + 6*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   19*a^2*z^2 - 19*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 33338] -> -10 + 2/a^6 - 5/a^4 + 8/a^2 + 
   8*a^2 - 2*a^4 - 25*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33339] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 5*a^2*z^2 - 
   14*a^4*z^2 + 18*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 
   18*a^4*z^4 + 13*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 33340] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33341] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 
   4*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 
   16*a^4*z^4 + 10*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   12*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 33342] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 2*a^6*z^2 - 
   15*z^4 + (5*z^4)/a^2 + 10*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + 
   (4*z^6)/a^2 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 33343] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33344] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 2*z^2 - 
   (4*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (6*z^4)/a^6 + (17*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33345] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^2 + a^4*z^2 - 
   z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33346] -> 2 - a^(-8) + 2/a^6 - 2/a^2 - z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 3*z^4 + (5*z^4)/a^8 - (12*z^4)/a^6 + 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33347] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33348] -> 
  1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 33349] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 
   8*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 33350] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   7*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 33351] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 33352] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - (5*z^2)/a^8 + (13*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33353] -> 
  -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 11*a^4*z^4 - 5*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33354] -> 
  2 - a^(-2) + a^4 - a^6 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33355] -> 2*a^2 - a^4 - 10*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33356] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 4*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 17*a^4*z^4 + 13*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 33357] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 5*z^2 - 
   (3*z^2)/a^6 + (12*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (13*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33358] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 33359] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33360] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 
   z^2 + z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33361] -> 
  -3 - a^(-4) + 4/a^2 + a^2 - a^4 + a^6 - 15*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33362] -> 5 - 2/a^6 + 4/a^4 - 3/a^2 - 5*a^2 + 
   2*a^4 + 6*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 - 11*a^2*z^2 + 
   5*a^4*z^2 - z^4/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 33363] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 
   3/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33364] -> 
  2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33365] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33366] -> 
  2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33367] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 12*z^2 - 
   (2*z^2)/a^4 - 10*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 11*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33368] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 + z^4/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (2*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33369] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) + (4*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33370] -> 
  2 - 4*a^2 + 7*a^4 - 6*a^6 + 2*a^8 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   12*a^4*z^2 - 13*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   7*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 33371] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 11*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + 
   z^4/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33372] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 + 
   z^6 + z^6/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 3*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 33373] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 33374] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 33375] -> -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33376] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33377] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 33378] -> 2 - 2/a^10 + 6/a^8 - 4/a^6 - a^(-4) + 
   3*z^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 - (7*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33379] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + a^(-2) + a^2 - z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33380] -> 3 + a^(-6) - 3/a^2 - a^2 + 2*a^4 - a^6 + 
   4*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33381] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 33382] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (18*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (5*z^4)/a^8 - (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (11*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33383] -> 
  5 - a^(-8) + 3/a^6 - 3/a^4 - a^(-2) - 2*a^2 + 9*z^2 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33384] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (5*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33385] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33386] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + (11*z^4)/a^8 - 
   (12*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (19*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33387] -> 1 + 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (8*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - 
   (11*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33388] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + (24*z^4)/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 33389] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33390] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 13*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 33391] -> 
  2/a^12 - 4/a^10 - 5/a^8 + 12/a^6 - 4/a^4 + (5*z^2)/a^12 - (22*z^2)/a^10 + 
   (9*z^2)/a^8 + (28*z^2)/a^6 - (12*z^2)/a^4 + (4*z^4)/a^12 - (30*z^4)/a^10 + 
   (34*z^4)/a^8 + (27*z^4)/a^6 - (13*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (32*z^6)/a^8 + (16*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33392] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 + 
   (4*z^2)/a^8 - (16*z^2)/a^6 + (21*z^2)/a^4 - (6*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (26*z^4)/a^6 + (35*z^4)/a^4 - (3*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (29*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33393] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (18*z^4)/a^10 + (23*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 33394] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (17*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + (21*z^4)/a^6 - 
   (22*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 33395] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 
   z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (17*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (22*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33396] -> 1 - a^(-8) + 2/a^6 - a^(-4) + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (6*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 33397] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 8*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 - 
   2*a^2*z^2 + 9*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   7*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 4*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 33398] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 33399] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 19*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 17*z^4 + (4*z^4)/a^4 - z^4/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33400] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 + 
   z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 33401] -> 2 - a^(-8) + 4/a^6 - 4/a^4 - z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (8*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33402] -> a^(-6) - a^(-4) + a^2 + z^2/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33403] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2/a^2 + 
   a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33404] -> 5 - 2/a^2 - 2*a^2 + 5*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33405] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - z^2/a^2 - 
   8*a^2*z^2 + a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + (2*z^4)/a^2 - 4*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33406] -> 
  1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33407] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 7*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 + 
   a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 13*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 - 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 33408] -> 3*a^2 - 4*a^4 + 2*a^6 + a^8 - a^10 + 
   7*a^2*z^2 - 9*a^4*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 
   5*a^4*z^4 - 6*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 33409] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 12*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33410] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - z^2/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 33411] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   13*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33412] -> -a^(-4) + 2/a^2 - 6*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 33413] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 
   7*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (11*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (27*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33414] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 33415] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   21*a^2*z^2 - 7*a^4*z^2 - 10*z^4 + (4*z^4)/a^4 - (12*z^4)/a^2 + 
   25*a^2*z^4 - 9*a^4*z^4 + 2*z^6 + z^6/a^4 - (9*z^6)/a^2 + 16*a^2*z^6 - 
   5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 33416] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 33417] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 + 
   z^2/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - (5*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33418] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 11*z^2 - z^2/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - z^4/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 
   12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33419] -> -a^(-4) + 2/a^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + z^4/a^8 + 
   (9*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33420] -> -a^(-4) + 2/a^2 - z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^8 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33421] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33422] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33423] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 33424] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 - z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33425] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - 2*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 33426] -> 2 - a^(-4) + a^(-2) - a^2 + 
   3*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 33427] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33428] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 33429] -> 1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33430] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 33431] -> -2*a^2 + 7*a^4 - 4*a^6 - 6*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 22*a^4*z^2 - 10*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33432] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 9*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 33433] -> 
  9 + 2/a^4 - 8/a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 5*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33434] -> a^(-6) - 4/a^4 + 4/a^2 + a^2 - a^4 + 
   z^2 + z^2/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + (3*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 33435] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + z^2/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33436] -> 
  -a^(-14) + 6/a^12 - 10/a^10 + 4/a^8 + a^(-6) + a^(-4) - z^2/a^14 + 
   (8*z^2)/a^12 - (14*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - (8*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33437] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 - z^2 + z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33438] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + 
   (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33439] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33440] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 33441] -> -2 + 6*a^2 - 3*a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33442] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33443] -> 2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   a^4 + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 33444] -> -2 + 6*a^2 - 3*a^4 - 9*z^2 + z^2/a^4 - 
   z^2/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 22*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   12*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33445] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33446] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^2 - a^4*z^2 + 
   z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 33447] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 33448] -> 4*a^6 - 3*a^8 + 12*a^6*z^2 - 4*a^8*z^2 - 
   6*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 13*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 33449] -> 2*a^4 - a^6 + a^8 - a^10 + 5*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - 5*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 33450] -> 4 - 5*a^2 + a^4 + a^6 + 9*z^2 - 
   (2*z^2)/a^2 - 11*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 33451] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33452] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33453] -> a^(-4) - a^2 + a^6 + z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33454] -> 1 + a^4 - a^6 - a^8 + a^10 + z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 
   9*a^4*z^4 + 11*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 33455] -> -1 + a^(-2) + a^2 - 8*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33456] -> 
  -3 + a^(-8) - a^(-6) - 5/a^4 + 9/a^2 - 9*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (24*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 - 
   (5*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 33457] -> 1 + 2/a^6 - 6/a^4 + 5/a^2 - 
   a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 + z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 33458] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 - 4*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 - 
   5*a^8*z^2 + 8*a^2*z^4 - 12*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 
   2*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 33459] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 + 
   a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33460] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 - z^2/a^10 - 
   (10*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (6*z^4)/a^10 - 
   (10*z^4)/a^8 + (15*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 - 
   z^6/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33461] -> 2/a^10 - 5/a^8 + 3/a^6 + a^(-2) + z^2/a^12 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33462] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 - 2*z^2 + 6*a^2*z^2 - 5*a^4*z^2 + 12*a^6*z^2 - 
   5*a^8*z^2 + z^4 + 4*a^2*z^4 - 11*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 
   3*z^6 - 3*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 33463] -> -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + (6*z^4)/a^4 - 
   (8*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33464] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 + z^4 - (3*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 33465] -> -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 - 
   (5*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (6*z^4)/a^2 + 
   19*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 33466] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 + 2*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33467] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33468] -> 
  -2 + a^(-2) + 6*a^2 - 7*a^4 + 3*a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   22*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 - 20*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   30*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33469] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 + (3*z^2)/a^4 - 
   (11*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 13*z^4 + (4*z^4)/a^4 - (14*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33470] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + (21*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (24*z^4)/a^6 + (35*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33471] -> -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (13*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (14*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33472] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 7*z^2 - (5*z^2)/a^6 + (23*z^2)/a^4 - 
   (27*z^2)/a^2 + 2*a^2*z^2 + 3*z^4 - (4*z^4)/a^6 + (28*z^4)/a^4 - 
   (40*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + (15*z^6)/a^4 - (30*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 33473] -> 
  -5 + a^(-2) + 9*a^2 - 4*a^4 - 21*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 - 29*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (20*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33474] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 7*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33475] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (22*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - 
   (32*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (26*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33476] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 + 
   2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 - (13*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 33477] -> 
  -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 33478] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - 
   (16*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (17*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 33479] -> 
  -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 17*a^2*z^2 - 16*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 21*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33480] -> a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - (7*z^2)/a^12 + (15*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 + (3*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33481] -> -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 
   17*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + (30*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33482] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33483] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 33484] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 - z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 33485] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33486] -> 3*a^2 - 4*a^4 + a^6 + 3*a^8 - 2*a^10 - 
   5*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 9*z^4 + z^4/a^2 + 12*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 8*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33487] -> 1 - a^4 + a^6 + a^8 - a^10 + z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - (3*z^4)/a^2 + 
   a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 33488] -> 2 - 2/a^10 + 5/a^8 - 2/a^6 - 2/a^4 + 3*z^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33489] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + a^(-2) + a^2 - 2*z^2 - z^2/a^10 + 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 33490] -> 
  1 + a^(-6) - 2/a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33491] -> 
  1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + a^2 - z^2 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 33492] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 11*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 12*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33493] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 9*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 33494] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   5*z^2 + z^2/a^6 - (3*z^2)/a^4 + 4*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33495] -> -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 
   4*z^2 - (2*z^2)/a^4 + a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 33496] -> 3*a^6 - 2*a^8 + a^10 - a^12 + z^2 + 
   a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 33497] -> 
  -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 19*z^2 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33498] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - z^2 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33499] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*z^2 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 33500] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 33501] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33502] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 8*z^2 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33503] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33504] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33505] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33506] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33507] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 5*z^2 + 
   14*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   22*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 33508] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 
   4*a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 33509] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 
   9*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   10*a^2*z^4 - 22*a^4*z^4 + 14*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 14*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 33510] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33511] -> 5*a^6 - 5*a^8 + a^10 + 2*a^4*z^2 + 
   10*a^6*z^2 - 9*a^8*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 8*a^6*z^4 - 
   7*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 33512] -> 2*a^4 - a^8 + a^2*z^2 + 4*a^4*z^2 - 
   3*a^8*z^2 + a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 - 4*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 33513] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 7*a^2*z^2 - 
   16*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 
   21*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 33514] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 
   2*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33515] -> 
  -4 + 3/a^2 + a^2 + a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33516] -> 2 + a^(-2) - 4*a^2 + a^4 + a^6 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 8*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 33517] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 8*z^2 - 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 33518] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 2*z^2 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 33519] -> 1 + a^2 - a^4 - a^8 + a^10 + 
   z^2 - 2*a^2*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 33520] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 33521] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   3*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33522] -> 
  a^(-8) - 4/a^4 + 4/a^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (14*z^2)/a^4 + 
   (8*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + z^4/a^6 - (20*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33523] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33524] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 21*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (12*z^2)/a^2 + 9*a^2*z^2 - 26*z^4 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 17*z^6 - z^6/a^6 + (6*z^6)/a^4 - (5*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33525] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 33526] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + 
   z^4/a^2 + 18*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33527] -> 
  a^(-12) - 6/a^10 + 6/a^8 + (2*z^2)/a^12 - (16*z^2)/a^10 + (24*z^2)/a^8 - 
   z^2/a^6 + (3*z^4)/a^12 - (20*z^4)/a^10 + (35*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (26*z^6)/a^8 + z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 33528] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (4*z^2)/a^16 - (22*z^2)/a^14 + 
   (10*z^2)/a^12 + (21*z^2)/a^10 + z^2/a^8 - (21*z^4)/a^14 + (28*z^4)/a^12 + 
   (32*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (23*z^6)/a^12 + 
   (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 33529] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + 
   a^2 - 6*z^2 - z^2/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   z^4/a^6 + (9*z^4)/a^4 - (11*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33530] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - 
   (13*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (13*z^4)/a^8 - 
   (18*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (11*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33531] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 3*z^2 + 
   (2*z^2)/a^8 - (14*z^2)/a^6 + (21*z^2)/a^4 - z^2/a^2 - 5*z^4 + z^4/a^8 - 
   (13*z^4)/a^6 + (23*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (13*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33532] -> 3/a^16 - 9/a^14 + 5/a^12 + a^(-10) + 
   a^(-8) + (3*z^2)/a^16 - (23*z^2)/a^14 + (18*z^2)/a^12 + (12*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (17*z^4)/a^14 + (30*z^4)/a^12 + (24*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (21*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 33533] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   5*a^4*z^2 + 17*a^6*z^2 + 2*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   6*a^4*z^4 + 20*a^6*z^4 + 8*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 13*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 33534] -> 3 - 4*a^2 + 2*a^4 - 3*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 33535] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 + z^2/a^8 - (9*z^2)/a^6 + 
   (15*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (14*z^4)/a^6 + 
   (23*z^4)/a^4 - (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (21*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 33536] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 5*z^2 + z^2/a^2 - 4*a^2*z^2 + 26*a^4*z^2 - 
   12*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 30*a^4*z^4 - 11*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 6*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33537] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (22*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - 
   (32*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (26*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33538] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 33539] -> 1 + 2/a^8 - 3/a^6 + a^(-2) + 
   2*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + z^4 - z^4/a^10 + 
   z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33540] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   3*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (13*z^4)/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33541] -> -1 - a^(-6) + 2/a^4 + a^2 - 9*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33542] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - z^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   16*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 10*a^4*z^4 + 
   20*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 33543] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (14*z^2)/a^8 - (11*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (20*z^4)/a^8 - (25*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 33544] -> a^(-8) - 5/a^6 + 6/a^4 - 
   a^(-2) - z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (17*z^2)/a^4 - (3*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - (14*z^4)/a^6 + (18*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33545] -> 1 - a^(-12) + 3/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (8*z^2)/a^6 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33546] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - 
   (8*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33547] -> 4 + a^(-4) - 3/a^2 - a^2 + 10*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 33548] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (12*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (19*z^4)/a^4 - 
   (23*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (23*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 33549] -> 
  -2 + 5*a^2 - a^4 - a^6 - 8*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 + 7*a^4*z^2 - 
   5*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33550] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - z^2/a^10 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33551] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (4*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (4*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 33552] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   17*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33553] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - (4*z^4)/a^10 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + (2*z^6)/a^8 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 33554] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 33555] -> 2 - a^(-4) + a^(-2) - a^2 + 
   5*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 33556] -> 2 - a^(-2) + a^4 - a^6 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33557] -> -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 
   11*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 33558] -> a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 - 
   z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (3*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 33559] -> 
  a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 - 2*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33560] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33561] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33562] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - z^2 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33563] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - 5*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + 2*a^2*z^2 - 
   11*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33564] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33565] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 3*z^2 + 
   z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 
   3*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - 
   2*a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 33566] -> 
  -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 - 8*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 11*z^4 + z^4/a^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33567] -> 4 - 2/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 9*z^2 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 6*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 33568] -> a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + 4*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 33569] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33570] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - 14*z^4 + (5*z^4)/a^2 + 11*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 33571] -> 
  1 + a^4 - 2*a^6 + a^8 + z^2 + a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 
   2*z^4 + 4*a^2*z^4 - 4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   6*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33572] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33573] -> 4 - 6*a^2 + 3*a^4 + 7*z^2 - z^2/a^2 - 
   12*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 8*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 33574] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 33575] -> 4*a^2 - 3*a^4 - a^6 + a^10 - 2*z^2 + 
   10*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 19*a^4*z^4 + 13*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 33576] -> 
  1 + 3*a^2 - 5*a^4 + 2*a^6 - a^8 + a^10 - z^2 + 7*a^2*z^2 - 16*a^4*z^2 + 
   11*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 20*a^4*z^4 + 
   18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 33577] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 33578] -> 5*a^6 - 5*a^8 + a^10 + 
   15*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 
   15*a^6*z^4 - 13*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 33579] -> a^2 - a^4 + 5*a^6 - 6*a^8 + 2*a^10 + z^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 18*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - z^4 + 
   5*a^2*z^4 - 18*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 33580] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33581] -> 1 + 3*a^2 - 5*a^4 + 2*a^6 - a^8 + 
   a^10 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33582] -> 
  3 - 2*a^2 - a^4 + a^6 - a^8 + a^10 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33583] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 33584] -> 5 - 7*a^2 + 2*a^4 + a^6 + 11*z^2 - 
   (2*z^2)/a^2 - 15*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - 
   8*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 33585] -> 2/a^2 - 3*a^2 + a^4 + a^6 - 
   z^2 - z^2/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 33586] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33587] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33588] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 - 2*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33589] -> 
  2 - 2*a^4 + a^6 - a^8 + a^10 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33590] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   z^2/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (2*z^4)/a^10 + (11*z^4)/a^8 - (15*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (9*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33591] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 3*z^2 + (4*z^2)/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (2*z^4)/a^8 - (14*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33592] -> -a^(-14) + 3/a^12 - 5/a^10 + 3/a^8 + 
   a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - (11*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33593] -> 1 - 5*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 33594] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 14*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33595] -> 
  -1 + 6*a^4 - 4*a^6 - 6*z^2 + z^2/a^2 + 3*a^2*z^2 + 16*a^4*z^2 - 8*a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 19*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33596] -> 
  2/a^14 - 7/a^12 + 5/a^10 + a^(-8) - a^(-6) + a^(-4) - (11*z^2)/a^12 + 
   (19*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 - 
   z^4/a^12 + (19*z^4)/a^10 - (9*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 + (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33597] -> 
  3 - a^(-2) - a^2 - z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33598] -> 
  2 + a^(-4) - 2/a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - 
   5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33599] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33600] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33601] -> 2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (14*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (13*z^4)/a^10 + (14*z^4)/a^8 + z^4/a^6 - z^4/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (8*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33602] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-2) + 
   z^2/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 + (4*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33603] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 33604] -> 1 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + 5*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 33605] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 33606] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33607] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   10*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 
   18*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 33608] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 + 17*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33609] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33610] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33611] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33612] -> 
  1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 - z^2 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + (3*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 33613] -> 
  4*a^6 - a^8 - 4*a^10 + 2*a^12 + 2*a^4*z^2 + 6*a^6*z^2 + 3*a^8*z^2 - 
   12*a^10*z^2 + 5*a^12*z^2 - a^4*z^4 + 4*a^6*z^4 + 6*a^8*z^4 - 15*a^10*z^4 + 
   4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 33614] -> 2*a^4 - 2*a^10 + a^12 + a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 33615] -> -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33616] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (14*z^4)/a^4 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33617] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33618] -> 
  4 - 5*a^2 + a^4 + a^6 + 6*z^2 - z^2/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 
   5*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 33619] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 11*z^2 + z^2/a^4 - (9*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33620] -> 1 + a^2 - 2*a^6 + a^10 + z^2 - a^2*z^2 - 
   a^4*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 2*a^2*z^4 - 6*a^4*z^4 + 
   9*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 33621] -> 2 - 2*a^4 + a^6 - a^8 + a^10 - 4*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33622] -> a^(-2) - a^2 + a^4 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 5*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33623] -> 5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 13*z^2 + 
   (2*z^2)/a^4 - (11*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 12*z^4 + 
   (5*z^4)/a^4 - (14*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33624] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 + 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 33625] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 8*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (21*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (20*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (12*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33626] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33627] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33628] -> -a^(-14) + 3/a^12 - 3/a^10 + a^(-8) - 
   a^(-4) + 2/a^2 - z^2/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 - 
   z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 33629] -> 
  1 - a^(-14) + 2/a^12 - 2/a^8 + a^(-6) + z^2 + (3*z^2)/a^12 - (4*z^2)/a^8 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 33630] -> -1 - a^(-6) + 3/a^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (9*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 33631] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33632] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^8 + (4*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 33633] -> -1 - a^(-6) + 3/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33634] -> 
  2 - 3*a^2 + 5*a^4 - 5*a^6 + 2*a^8 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 - 2*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 33635] -> 
  -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + 17*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 9*z^4 + z^4/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33636] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + 5*a^2*z^2 - a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33637] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 8*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + 
   z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33638] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (27*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (8*z^4)/a^6 - (25*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33639] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33640] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 - 
   (5*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33641] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 12*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 33642] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33643] -> 2 - 2/a^10 + 6/a^8 - 5/a^6 + a^(-4) - 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (12*z^2)/a^8 - (11*z^2)/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (9*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33644] -> -a^(-10) + 3/a^8 - 2/a^6 + a^2 - 2*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^8 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 33645] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 33646] -> 
  1 + a^(-6) - 2/a^2 + 2*a^4 - a^6 - z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33647] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33648] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^8 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33649] -> -a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*a^2 - 
   a^4 + (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 
   z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 33650] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 33651] -> 
  -3 - a^(-4) + 3/a^2 + 2*a^2 + a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 33652] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 + (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33653] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33654] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - z^4/a^10 - 
   (7*z^4)/a^8 + (10*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 33655] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33656] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33657] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 
   13*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33658] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33659] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 33660] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 2/a^8 - a^(-4) + 2/a^2 - z^2/a^14 + 
   (7*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 33661] -> 1 - a^(-14) + 3/a^12 - 2/a^10 - a^(-8) + 
   a^(-6) + z^2 + (3*z^2)/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 33662] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^8 - 
   z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33663] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 33664] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   8*z^2 + z^2/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33665] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33666] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 3*z^2 + 11*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 15*a^2*z^4 - 7*a^4*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33667] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 33668] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 
   3/a^2 + 6*z^2 + z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 33669] -> 1 + 2/a^4 - 3/a^2 + a^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 33670] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   2*a^2*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 4*a^4*z^4 + 
   8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 33671] -> 
  -1 + a^(-2) + a^2 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33672] -> a^(-4) - a^(-2) + a^2 - z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 33673] -> 2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33674] -> a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 33675] -> 
  a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 - 7*z^4 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 33676] -> 1 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[15, Alternating, 33677] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 8*z^4 + z^4/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33678] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 3*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33679] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   9*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 33680] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 33681] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 14*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33682] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 - 7*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 + 
   a^8*z^4 + 3*z^6 - z^6/a^2 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 33683] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + a^10*z^2 - z^4/a^2 - 2*a^2*z^4 - 
   3*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 33684] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + z^2 + z^2/a^2 - 
   7*a^2*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33685] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 3*z^2 + z^2/a^2 - 3*a^4*z^2 + a^8*z^2 + 
   z^4 - z^4/a^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 33686] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 33687] -> 
  -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 2*z^2 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 33688] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33689] -> 3/a^4 - 3/a^2 - a^2 + 2*a^4 - z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33690] -> -1 + a^(-6) + a^6 - z^2 - z^2/a^6 - 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 33691] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + 
   a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 33692] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 - 
   z^2/a^6 + (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - z^6/a^4 - 
   (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 33693] -> 
  1 + z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33694] -> -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 33695] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 33696] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 6*z^2 + 17*a^2*z^2 - 12*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33697] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 33698] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - 
   (8*z^2)/a^10 + (4*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (19*z^4)/a^10 + (24*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (14*z^6)/a^10 + (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33699] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (6*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (7*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33700] -> 
  -2 + 2/a^4 - 2/a^2 + 4*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33701] -> 
  -1 + 4*a^2 - 2*a^4 + 4*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   7*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 33702] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 + 
   z^2/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33703] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2 + z^2/a^12 - (5*z^2)/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 - z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33704] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33705] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33706] -> -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 33707] -> a^(-10) - 5/a^8 + 5/a^6 - 
   z^2/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (4*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33708] -> 
  5*a^4 - 6*a^6 + 2*a^8 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 
   11*a^6*z^2 + 5*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 - 
   8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 33709] -> 
  3 + a^(-2) - 7*a^2 + 4*a^4 - z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   13*a^2*z^2 + 6*a^4*z^2 - 8*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 33710] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 + 
   9*a^4*z^4 - 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 33711] -> 
  2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 - 2*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 33712] -> 
  -1 + 4*a^2 - 4*a^6 + 2*a^8 + 2*z^2 - z^2/a^4 + 4*a^2*z^2 - 3*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 33713] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   8*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 33714] -> -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 33715] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^2 - a^2*z^2 + 
   z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33716] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (8*z^4)/a^10 - (12*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33717] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (8*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 33718] -> 5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 6*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 33719] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 - a^4*z^2 + 
   4*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^4*z^4 + 3*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 33720] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 8*z^2 + (3*z^2)/a^2 - 5*a^2*z^2 + 29*a^4*z^2 - 
   13*a^6*z^2 - 15*z^4 + (4*z^4)/a^2 + a^2*z^4 + 35*a^4*z^4 - 13*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 7*a^2*z^6 + 21*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 33721] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + z^2/a^4 - 
   z^2/a^2 + 7*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 11*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33722] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 33723] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 33724] -> 
  1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 3*z^2 - z^2/a^10 + z^2/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33725] -> a^(-10) - 5/a^8 + 5/a^6 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - z^4/a^8 + 
   (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33726] -> 2 - 7*a^2 + 11*a^4 - 5*a^6 + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 + z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33727] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   10*z^2 + z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 33728] -> 1 + a^(-10) - 4/a^8 + 5/a^6 - 2/a^4 + 
   2*z^2 - z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 33729] -> 
  -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   11*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 9*a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 33730] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 13*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 33731] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 
   16*a^4*z^2 - 7*a^6*z^2 + z^4 + z^4/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 + 
   10*a^4*z^4 - 4*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 33732] -> 
  -2 + 5*a^2 - a^4 - a^6 - 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^6*z^2 + z^4/a^4 - (6*z^4)/a^2 + 14*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 33733] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 33734] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 33735] -> -a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - a^4 - z^2 + z^2/a^8 - (4*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 33736] -> 
  2 - a^(-2) + a^4 - a^6 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 4*a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 33737] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 33738] -> a^6 + 2*a^8 - 2*a^10 + a^12 - 
   a^14 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 33739] -> -2 + a^(-2) + 3*a^2 - a^4 - a^6 + 2*a^8 - 
   a^10 - z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[15, Alternating, 33740] -> 2 - a^(-8) + 3/a^6 - 4/a^4 + 
   2/a^2 - a^2 + 4*z^2 + z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - 
   (17*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33741] -> a^2 - 2*a^4 + 3*a^6 - a^12 + z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 33742] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + 
   a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33743] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33744] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33745] -> a^2 + a^4 - a^6 + 3*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 10*a^4*z^4 + 
   10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 33746] -> 3*a^6 - a^8 - a^10 + 12*a^6*z^2 - 
   4*a^8*z^2 - 4*a^10*z^2 + 3*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 3*a^8*z^4 - 
   11*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 3*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 33747] -> 
  a^4 + a^6 - a^10 + 5*a^4*z^2 + a^6*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 33748] -> 2*a^2 + a^4 - 3*a^6 + a^10 + 
   a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - 6*a^2*z^4 + 
   11*a^4*z^4 - 5*a^6*z^4 - 17*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   12*a^4*z^6 + 5*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 33749] -> 1 + 2*a^4 - 3*a^6 + a^10 + z^2 - a^2*z^2 + 
   3*a^4*z^2 - 6*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 + 
   4*a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 33750] -> -a^(-8) + a^(-6) + a^(-2) - 4*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33751] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^8 + z^2/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^8 + z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33752] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^6 - 
   z^6/a^4 - (10*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 33753] -> -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 
   8*z^2 + z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + 
   z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 - 
   (4*z^6)/a^2 - 2*a^2*z^6, Knot[15, Alternating, 33754] -> 
  -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 10*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33755] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33756] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33757] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33758] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33759] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 12*a^4*z^2 + 
   11*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 14*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   3*z^6 - 2*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 33760] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   2*z^2 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + z^4 + 
   z^4/a^2 - a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   4*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33761] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 11*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 33762] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   4*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + 
   z^4/a^2 - 5*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33763] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 11*z^2 - 
   z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33764] -> 
  -3 + 8*a^2 - 4*a^4 - 4*z^2 - (2*z^2)/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 + z^4 - (3*z^4)/a^2 + 22*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 
   5*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 33765] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 33766] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + z^2 + z^2/a^6 - (3*z^2)/a^4 + 5*a^2*z^2 - 
   3*a^4*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 33767] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33768] -> 1 - 2/a^10 + 6/a^8 - 6/a^6 + 2/a^4 + 3*z^2 - 
   (3*z^2)/a^10 + (14*z^2)/a^8 - (13*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (11*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33769] -> 8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 7*z^2 + 
   z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33770] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 5/a^8 + a^(-4) - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (13*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (9*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33771] -> 1 - a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + 
   2/a^4 + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 + z^2/a^8 - (8*z^2)/a^6 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (9*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 33772] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33773] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 12*z^2 + (2*z^2)/a^2 + 25*a^2*z^2 - 
   18*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 32*a^2*z^4 - 
   23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33774] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 33775] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 4*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - z^4 + z^4/a^2 + 9*a^2*z^4 - 
   15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 33776] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 18*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 33777] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33778] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 33779] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - z^2/a^12 + z^2/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + z^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 33780] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 7*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 33781] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33782] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33783] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 - 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33784] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^8*z^2 + 
   2*z^4 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 33785] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 - 
   7*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 33786] -> 
  -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 6*z^2 - (2*z^2)/a^6 + (6*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (11*z^4)/a^2 - 
   7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 33787] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 + a^6 - 4*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^6 + 
   (8*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 33788] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 3*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (4*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 33789] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33790] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33791] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (18*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (6*z^4)/a^6 - 
   (19*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33792] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (4*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 33793] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 33794] -> -3 + a^(-6) - 2/a^4 + 4/a^2 + a^6 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (3*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 33795] -> 
  3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 
   5*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 33796] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 22*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (14*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 29*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33797] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 
   3*a^6 - a^8 - 4*z^2 + z^2/a^4 + 6*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - z^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 3*z^6 + 
   2*a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33798] -> 
  1 - a^6 + 2*a^8 - a^10 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 33799] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 - a^2 + 
   2*a^4 - 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 33800] -> a^(-4) - a^2 + a^6 + z^2 - 
   z^2/a^8 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 33801] -> -2 + a^(-4) + 2*a^2 - 11*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (15*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33802] -> 
  -1 + a^(-4) + a^4 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33803] -> a^2 - 2*a^4 + 4*a^6 - 2*a^8 + a^10 - a^12 + 
   z^2 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - 
   2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 33804] -> 
  a^4 + a^8 - a^12 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 33805] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 33806] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33807] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 33808] -> 1 + a^2 - 2*a^4 + 2*a^8 - a^10 - z^2 + 
   4*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 
   a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 33809] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   11*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33810] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33811] -> a^4 + a^6 - a^8 + a^10 - a^12 + 2*z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   6*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33812] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33813] -> 
  a^4 + a^6 - a^10 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 33814] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   10*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33815] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 22*z^4 - z^4/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33816] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*z^2 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 6*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 33817] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2/a^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[15, Alternating, 33818] -> 
  2*a^2 - a^4 + z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33819] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 33820] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 9*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 33821] -> 4*a^6 - 3*a^8 + 3*a^4*z^2 + 7*a^6*z^2 - 
   5*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   5*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 33822] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + a^12*z^2 - z^4 - a^4*z^4 + 2*a^6*z^4 - 
   4*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 33823] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 33824] -> 3*a^2 - a^4 - 2*a^6 + a^10 - z^2 + 
   4*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   2*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 33825] -> 1 + a^2 - 2*a^6 + a^10 + 
   a^2*z^2 - a^4*z^2 - 4*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   2*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 33826] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33827] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - a^4*z^2 + 
   2*z^4 + z^4/a^8 + z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 33828] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + z^2/a^12 - (9*z^2)/a^10 + 
   (13*z^2)/a^8 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   (12*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33829] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 6*z^2 - z^2/a^4 + (3*z^2)/a^2 - 17*a^2*z^2 + 
   8*a^4*z^2 - z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 33830] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (11*z^2)/a^8 - (10*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^10 + (12*z^4)/a^8 - (13*z^4)/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (9*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33831] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33832] -> -a^(-14) + 5/a^12 - 9/a^10 + 5/a^8 + 
   a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (17*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (13*z^4)/a^10 + 
   (3*z^4)/a^8 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (4*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33833] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + 
   z^2/a^16 - (12*z^2)/a^14 + (7*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + (12*z^4)/a^12 + (16*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 33834] -> 
  4 + 3/a^4 - 6/a^2 + 10*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (19*z^2)/a^2 + 
   10*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 33835] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 33836] -> 
  -4*a^2 + 11*a^4 - 6*a^6 - 8*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 32*a^4*z^2 - 
   15*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 37*a^4*z^4 - 14*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33837] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 25*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   (9*z^2)/a^2 - 11*a^2*z^2 + 29*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 33838] -> -1 + 6*a^4 - 4*a^6 - 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 6*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 - z^4 + z^4/a^4 - 
   (4*z^4)/a^2 + 11*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33839] -> 1 + z^2/a^4 - z^2/a^2 - a^4*z^2 + a^6*z^2 - 
   z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33840] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 11*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 10*z^6 + z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33841] -> -2 + 2/a^2 + a^4 - 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33842] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 + 
   12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33843] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 - z^2/a^6 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 12*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33844] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33845] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33846] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 + z^2/a^10 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 33847] -> 1 - 2/a^10 + 5/a^8 - 4/a^6 + a^(-4) + 
   3*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33848] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 19*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 - 
   (8*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - 
   (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 33849] -> 1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (22*z^2)/a^4 - (7*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (17*z^4)/a^4 + z^4/a^2 - 3*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (9*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33850] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 25*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 - (10*z^2)/a^2 - 10*a^2*z^2 + 26*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 33851] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 3*z^2 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 33852] -> 
  1 - 3/a^8 + 6/a^6 - 3/a^4 + 3*z^2 - z^2/a^10 - z^2/a^8 + (12*z^2)/a^6 - 
   (8*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33853] -> a^(-14) - 3/a^12 + a^(-10) + a^(-8) + 
   a^(-4) - z^2/a^14 - (2*z^2)/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 - (2*z^4)/a^8 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 33854] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 12*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 33855] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 33856] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33857] -> -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 
   16*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (25*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33858] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33859] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - z^4 + z^4/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (5*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33860] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33861] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 33862] -> a^(-8) - 2/a^6 + 2/a^2 - z^2 + z^2/a^10 - 
   (4*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33863] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 33864] -> 
  2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 
   a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 33865] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) - a^(-4) + 2/a^2 + (4*z^2)/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^8 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 33866] -> a^2 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 33867] -> -2/a^8 + 6/a^6 - 5/a^4 + a^(-2) + a^2 - 
   z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 33868] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 2*a^2*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33869] -> a^6 + a^8 + a^10 - 2*a^12 + 2*a^4*z^2 + 
   4*a^6*z^2 + a^8*z^2 + 7*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 - 2*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 33870] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + z^2 + a^4*z^2 + 7*a^6*z^2 - 7*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 2*a^6*z^4 - 7*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 33871] -> -2/a^14 + 5/a^12 - 4/a^10 + 
   2/a^4 - z^2/a^14 + (10*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (8*z^4)/a^10 - (8*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 33872] -> -a^(-14) + 2/a^12 - a^(-10) - 
   a^(-8) + a^(-6) + a^(-2) + z^2 + (4*z^2)/a^12 - (4*z^2)/a^8 + z^2/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^10 - (6*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2, Knot[15, Alternating, 33873] -> 1 + a^2 - 2*a^4 + 2*a^8 - a^10 - 
   3*z^2 + z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 
   a^10*z^2 - 7*z^4 + z^4/a^2 + 10*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 33874] -> 2 - 2/a^10 + 4/a^8 - a^(-6) - a^(-4) - 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33875] -> -a^(-10) + a^(-8) + 2/a^6 - 2/a^4 + a^2 - 
   2*z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (5*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 33876] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + z^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 33877] -> a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   a^(-2) + a^2 - z^2 - (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + (5*z^4)/a^6 - z^4/a^4 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 33878] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33879] -> -4 + 2/a^6 - 3/a^4 + 3/a^2 + 2*a^2 + 2*a^4 - 
   a^6 - 7*z^2 + z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 33880] -> -1 + a^(-8) - a^(-6) + a^(-4) - a^(-2) + 
   2*a^2 - 3*z^2 - (3*z^2)/a^6 + a^2*z^2 - a^6*z^2 + (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 33881] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 33882] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 33883] -> 
  a^4 + 2*a^8 - 2*a^10 + z^2 - a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 33884] -> -3 - 2/a^4 + 5/a^2 + 2*a^4 - 
   a^6 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 33885] -> 
  -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 33886] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 2*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 33887] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 
   z^2 + a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 6*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 33888] -> 1 + 2*a^2 - 3*a^4 + a^6 - a^8 + a^10 + 
   2*z^2 - z^2/a^2 - 4*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33889] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 33890] -> 1 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 33891] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 4*a^4*z^2 + 6*a^6*z^2 - 10*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 33892] -> 
  5*a^6 - 5*a^8 + a^10 + 2*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 
   a^12*z^2 - a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 33893] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 7*a^2*z^2 - 15*a^4*z^2 + 14*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 33894] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33895] -> 4*a^2 - 3*a^4 - a^6 + a^10 - z^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 6*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   2*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 33896] -> 1 - a^(-8) + 2/a^6 - a^(-4) + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33897] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 + a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 33898] -> 
  1 + 3*a^4 - 5*a^6 + a^8 + a^10 + z^2 - 2*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 - 
   a^8*z^2 + 2*a^10*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 33899] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + z^4 + (4*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33900] -> 
  a^2 + a^6 - a^8 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33901] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 33902] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 + z^4/a^4 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 33903] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 - a^2*z^8, Knot[15, Alternating, 33904] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 33905] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) - 
   z^2/a^14 + (4*z^2)/a^12 - (12*z^2)/a^10 + (12*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (10*z^4)/a^10 + (5*z^4)/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (5*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 33906] -> 3/a^16 - 9/a^14 + 5/a^12 + a^(-10) + 
   a^(-8) + z^2/a^16 - (17*z^2)/a^14 + (15*z^2)/a^12 + (9*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (18*z^4)/a^12 + 
   (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 33907] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33908] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   z^2/a^10 + (10*z^2)/a^8 - (15*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 - 
   (2*z^4)/a^10 + (11*z^4)/a^8 - (17*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33909] -> 4/a^16 - 12/a^14 + 8/a^12 + a^(-8) + 
   (3*z^2)/a^16 - (26*z^2)/a^14 + (24*z^2)/a^12 + (8*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (15*z^4)/a^14 + (33*z^4)/a^12 + 
   (19*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (20*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 33910] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) - 
   (9*z^2)/a^14 + (3*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 33911] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 19*a^2*z^4 + 9*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 33912] -> 
  5 + 4/a^4 - 8/a^2 + 11*z^2 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - 
   (22*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 - 
   (26*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 33913] -> -5*a^2 + 13*a^4 - 7*a^6 - 
   6*z^2 + z^2/a^2 - 6*a^2*z^2 + 35*a^4*z^2 - 16*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 39*a^4*z^4 - 14*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 33914] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 5*z^2 - z^2/a^2 + 9*a^2*z^2 + 11*a^4*z^2 - 
   7*a^6*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 + 10*a^4*z^4 - 
   4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 33915] -> 
  -3 + 2/a^4 - a^(-2) + 3*a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 33916] -> 
  1 + a^(-8) - 6/a^6 + 9/a^4 - 4/a^2 + z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (19*z^2)/a^4 - (8*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (17*z^4)/a^4 - z^4/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 33917] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 
   20*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 24*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 33918] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 3*z^2 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33919] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 33920] -> 1 - 7*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33921] -> 
  2/a^4 - 2/a^2 + a^4 - 4*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 33922] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33923] -> 
  -1 - a^(-6) + 3/a^2 - z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33924] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 33925] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 33926] -> a^(-6) - a^(-2) + a^4 - 4*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 33927] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - z^4 + z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 33928] -> 2/a^12 - 6/a^10 + 4/a^8 + 
   a^(-4) + (2*z^2)/a^12 - (11*z^2)/a^10 + (12*z^2)/a^8 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (11*z^4)/a^10 + (12*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33929] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   z^2/a^12 - (5*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 33930] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 - (2*z^4)/a^6 + (15*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 33931] -> 1 + a^(-8) - 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33932] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33933] -> 1 + a^(-6) - 2/a^2 + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 33934] -> 
  -a^(-10) + a^(-8) + a^(-6) - a^(-2) + a^2 - z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33935] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33936] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 33937] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - z^2/a^4 - 2*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33938] -> 
  -1 - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - a^6 - 2*z^2 - z^2/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 33939] -> 
  -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 2*z^2 + 3*a^2*z^2 + 4*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33940] -> 
  -2 + 4*a^2 - a^8 - 2*z^2 + 5*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^4 + z^4/a^2 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 33941] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 33942] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 33943] -> 
  a^2 + a^4 - a^6 + z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   2*a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   5*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 33944] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33945] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 + a^4*z^2 + 7*a^6*z^2 + 4*a^8*z^2 - 
   11*a^10*z^2 + 4*a^12*z^2 - a^4*z^4 + 6*a^6*z^4 + 5*a^8*z^4 - 13*a^10*z^4 + 
   4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 33946] -> a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + 
   4*a^4*z^2 + 2*a^6*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 33947] -> 2*a^2 + 3*a^4 - 7*a^6 + 2*a^8 + a^10 + 
   a^2*z^2 + 9*a^4*z^2 - 16*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - 6*a^2*z^4 + 
   12*a^4*z^4 - 10*a^6*z^4 - 16*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   12*a^4*z^6 + 4*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 33948] -> 5*a^2 - 5*a^4 + a^10 - z^2 + 7*a^2*z^2 - 
   7*a^4*z^2 - 5*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 3*a^2*z^4 - 
   6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 33949] -> 
  1 + a^2 + a^4 - 4*a^6 + a^8 + a^10 + z^2 + a^4*z^2 - 8*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 33950] -> 
  2 - a^4 - a^6 + a^10 + z^2 - a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - z^4 - z^4/a^2 + a^2*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 33951] -> 
  a^(-4) - a^2 + a^6 - z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   4*a^4*z^2 + a^6*z^2 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 33952] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 6*z^2 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + 
   z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33953] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 3*z^4 + (4*z^4)/a^8 - (11*z^4)/a^6 + 
   (7*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 + z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 33954] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^8 - z^2/a^4 + z^2/a^2 + z^4/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33955] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 33956] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   7*z^2 + z^2/a^8 + (8*z^2)/a^6 - (25*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (20*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 - (3*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 33957] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + 
   (9*z^2)/a^10 - (28*z^2)/a^8 + (26*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - 
   z^4/a^10 - (21*z^4)/a^8 + (29*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 - (3*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33958] -> -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + 
   z^2/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33959] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + z^4/a^8 - (5*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 33960] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^12 - z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 + z^4/a^8 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 33961] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + z^2/a^12 - z^2/a^10 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^4 + 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 33962] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   15*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (6*z^2)/a^2 + 9*a^2*z^2 - 25*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (13*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (11*z^6)/a^4 - (13*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 33963] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + 
   (8*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 - (13*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33964] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   14*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   17*z^4 - z^4/a^6 + (8*z^4)/a^4 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 33965] -> -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 
   8*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^4*z^2 - 
   7*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 33966] -> 
  2 - 2/a^10 + 4/a^8 - a^(-6) - a^(-4) - a^(-2) + 5*z^2 - (3*z^2)/a^10 + 
   (14*z^2)/a^8 - (8*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - 
   z^4/a^10 + (12*z^4)/a^8 - (14*z^4)/a^6 - (10*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33967] -> 
  -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 9*z^2 + (7*z^2)/a^8 - (18*z^2)/a^6 + 
   (3*z^2)/a^4 + (19*z^2)/a^2 - 12*z^4 + (5*z^4)/a^8 - (24*z^4)/a^6 + 
   (9*z^4)/a^4 + (26*z^4)/a^2 - 6*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (12*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33968] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 33969] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (11*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (7*z^4)/a^6 + (10*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 33970] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2/a^10 - (4*z^2)/a^6 + (4*z^2)/a^2 - a^2*z^2 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 33971] -> 
  5 - 3/a^2 + 2*a^2 - 4*a^4 + a^6 + 17*z^2 - (7*z^2)/a^2 + 2*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 + 23*z^4 - (5*z^4)/a^2 - 6*a^2*z^4 - 23*a^4*z^4 + 
   11*a^6*z^4 + 12*z^6 - z^6/a^2 - 11*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 33972] -> 3 - a^(-4) + a^2 - 3*a^4 + a^6 + 9*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 33973] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 10*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 15*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + 13*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 33974] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 9*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 13*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 33975] -> 
  1 + a^(-10) - 3/a^8 + a^(-6) + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33976] -> 
  5 + 2/a^4 - 7/a^2 + 5*a^2 - 4*a^4 + 14*z^2 + (7*z^2)/a^4 - (24*z^2)/a^2 + 
   20*a^2*z^2 - 12*a^4*z^2 + 18*z^4 + (5*z^4)/a^4 - (26*z^4)/a^2 + 
   29*a^2*z^4 - 13*a^4*z^4 + 14*z^6 + z^6/a^4 - (12*z^6)/a^2 + 20*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 33977] -> 6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 13*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (11*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   14*z^4 + z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 
   8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 33978] -> 2 - a^(-12) + a^(-10) + 2/a^8 - 
   2/a^6 - a^(-2) + 3*z^2 - z^2/a^12 + (5*z^2)/a^10 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (10*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 33979] -> 
  1 - 2/a^4 + 3/a^2 - 2*a^4 + a^6 + z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - z^4/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 33980] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 33981] -> -a^(-6) + a^(-4) + a^(-2) + a^2 - 2*a^4 + 
   a^6 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 
   2*z^4 + (2*z^4)/a^4 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 33982] -> 
  -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - a^4 + z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 33983] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 
   4/a^2 + (6*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (7*z^4)/a^8 + (2*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (4*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33984] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 33985] -> 6*a^6 - 7*a^8 + 2*a^10 + a^2*z^2 - 
   5*a^4*z^2 + 20*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 
   13*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 33986] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   14*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 33987] -> 
  -2/a^14 + 5/a^12 - 10/a^8 + 8/a^6 - (5*z^2)/a^14 + (21*z^2)/a^12 - 
   (14*z^2)/a^10 - (19*z^2)/a^8 + (20*z^2)/a^6 - (4*z^4)/a^14 + 
   (29*z^4)/a^12 - (33*z^4)/a^10 - (19*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (31*z^6)/a^10 - (14*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (13*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 33988] -> -8 + 3/a^2 + 9*a^2 - 3*a^4 - 
   21*z^2 - z^2/a^4 + (8*z^2)/a^2 + 20*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   24*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 33989] -> 
  a^2 - 3*a^4 + 6*a^6 - 2*a^8 - a^10 + 5*a^2*z^2 - 14*a^4*z^2 + 18*a^6*z^2 + 
   2*a^8*z^2 - 4*a^10*z^2 + 8*a^2*z^4 - 21*a^4*z^4 + 13*a^6*z^4 + 
   11*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 33990] -> a^4 + a^6 - a^10 + z^2 - 
   a^2*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 33991] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (2*z^2)/a^10 + (14*z^2)/a^8 - (14*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (12*z^4)/a^8 - (11*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 33992] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33993] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (13*z^2)/a^6 - 
   (21*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (21*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (6*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 33994] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 + (4*z^2)/a^10 - 
   (14*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + z^6/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 33995] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 + 13*a^2*z^2 - 
   5*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 33996] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 33997] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - (5*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 33998] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 33999] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   a^2*z^2 + 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34000] -> -3 - a^(-6) + 4/a^2 + a^2 - 13*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34001] -> 
  -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 34002] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34003] -> 
  -1 + 7*a^2 - 6*a^4 - a^6 + 2*a^8 - 4*z^2 + 17*a^2*z^2 - 13*a^4*z^2 - 
   11*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 14*a^4*z^4 - 20*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34004] -> 1 + 2*a^2 - 2*a^4 - 2*a^6 + 2*a^8 + 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 10*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34005] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (4*z^2)/a^10 - (2*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (7*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34006] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34007] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - z^2/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - (16*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34008] -> 5 + a^(-4) - 5/a^2 + 3*a^2 - 3*a^4 + 
   27*z^2 + (4*z^2)/a^4 - (24*z^2)/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 47*z^4 + 
   (4*z^4)/a^4 - (32*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 37*z^6 + z^6/a^4 - 
   (17*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 34009] -> 
  6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 18*z^2 + z^2/a^6 - (4*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34010] -> -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 
   2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - (12*z^2)/a^10 - z^2/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (15*z^4)/a^10 - 
   (9*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 34011] -> 2/a^12 - 6/a^10 + 4/a^8 + 
   a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - (12*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34012] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 7*z^2 + 
   (7*z^2)/a^8 - (25*z^2)/a^6 + (20*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (33*z^4)/a^6 + (37*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (32*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34013] -> -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 3*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (10*z^2)/a^6 + (13*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + (16*z^4)/a^4 + z^4/a^2 - 
   z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 34014] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - 
   (12*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 - (4*z^4)/a^6 + (24*z^4)/a^4 - 
   (26*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - (26*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 34015] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 - z^2/a^8 + z^2/a^6 + (8*z^2)/a^4 - 
   (12*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (15*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 34016] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (11*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 34017] -> -2/a^10 + 5/a^8 - 2/a^6 - 
   4/a^4 + 4/a^2 - (5*z^2)/a^10 + (22*z^2)/a^8 - (17*z^2)/a^6 - 
   (10*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (34*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 34018] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34019] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + 
   a^(-6) + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (9*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (11*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - (5*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34020] -> 10 + 2/a^4 - 9/a^2 + a^2 - 3*a^4 + 40*z^2 + 
   (7*z^2)/a^4 - (35*z^2)/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 60*z^4 + 
   (5*z^4)/a^4 - (41*z^4)/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 43*z^6 + z^6/a^4 - 
   (19*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 34021] -> 
  11 + 2/a^4 - 9/a^2 - a^2 - 2*a^4 + 25*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (11*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 26*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34022] -> 2 - a^(-12) + 2/a^10 - a^(-6) - a^(-2) + 
   3*z^2 - z^2/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 34023] -> 1 + a^(-6) - 4/a^4 + 3/a^2 + 
   2*a^2 - 2*a^4 + 13*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 22*z^4 + z^4/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 34024] -> 
  2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 7*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 9*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + (11*z^4)/a^2 - a^4*z^4 + 4*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 34025] -> 1 - a^(-4) + a^(-2) + 2*a^2 - 
   3*a^4 + a^6 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34026] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34027] -> -4 - 2/a^4 + 5/a^2 + 4*a^2 - 3*a^4 + 
   a^6 - 19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 
   4*a^6*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 24*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34028] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 26*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (24*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34029] -> 1 - a^(-6) + 2/a^4 - a^(-2) + a^2 - 
   2*a^4 + a^6 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 34030] -> -a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - a^4 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 34031] -> 2 + a^(-4) - 2/a^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + 3*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34032] -> -2/a^14 + 5/a^12 - 3/a^10 - 3/a^6 + 
   4/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (10*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 34033] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 
   2*z^2 + 8*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 6*a^2*z^4 - 
   16*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 2*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 34034] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34035] -> 
  2 - a^2 - a^4 + a^6 - z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34036] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 8*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   8*a^4*z^2 - 9*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34037] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34038] -> 3 + 2/a^4 - 4/a^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 34039] -> 1 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34040] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 + 9*a^2*z^2 - 
   11*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 7*a^4*z^4 - 
   12*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34041] -> 5*a^6 - 5*a^8 + a^10 + a^4*z^2 + 
   10*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 + 3*a^12*z^2 - a^4*z^4 + 7*a^6*z^4 - 
   11*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 34042] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34043] -> 2*a^4 - a^8 + 5*a^4*z^2 - a^8*z^2 - 
   2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 2*a^4*z^4 - 2*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 34044] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34045] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 7*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 4*z^4 - 10*a^2*z^4 + 7*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 34046] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34047] -> a^(-4) - 2*a^4 + 2*a^6 - 6*z^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34048] -> a^2 + a^4 - a^6 - 2*z^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34049] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   (6*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - 
   (2*z^4)/a^10 - (13*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 - z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34050] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34051] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (18*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (5*z^4)/a^8 - (6*z^4)/a^6 - 
   (17*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (11*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34052] -> 
  -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 3*z^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   12*a^6*z^2 - 5*a^8*z^2 + 3*z^4 + a^2*z^4 - 9*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 34053] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   (7*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34054] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 34055] -> 2 - a^(-2) - a^4 + 3*a^6 - 
   2*a^8 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + 
   2*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34056] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 3*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 - (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34057] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - 
   z^2/a^10 - (4*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34058] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34059] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (4*z^2)/a^14 + (19*z^2)/a^12 - (24*z^2)/a^10 + (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (28*z^4)/a^12 - (39*z^4)/a^10 - z^4/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (32*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 34060] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (4*z^2)/a^12 - (21*z^2)/a^10 + 
   (22*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + 
   (41*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (33*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34061] -> -a^(-14) + 4/a^12 - 6/a^10 + 3/a^8 - 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - (14*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (14*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 34062] -> a^(-12) - 5/a^10 + 6/a^8 - 
   3/a^6 + 2/a^4 + (2*z^2)/a^12 - (12*z^2)/a^10 + (15*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + (15*z^4)/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34063] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 4*z^2 - 
   (4*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 8*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 - (16*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 34064] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 34065] -> 
  -2/a^10 + 6/a^8 - 4/a^6 - 3/a^4 + 4/a^2 - (7*z^2)/a^10 + (29*z^2)/a^8 - 
   (24*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (37*z^4)/a^8 - 
   (45*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (37*z^6)/a^6 - (14*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34066] -> 2 - 2/a^10 + 6/a^8 - 5/a^6 + a^(-4) - 
   a^(-2) + 5*z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - (12*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (15*z^4)/a^6 - (10*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34067] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 
   3/a^2 - 9*z^2 + (7*z^2)/a^8 - (31*z^2)/a^6 + (31*z^2)/a^4 + (6*z^2)/a^2 - 
   12*z^4 + (5*z^4)/a^8 - (40*z^4)/a^6 + (54*z^4)/a^4 + (10*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (19*z^6)/a^6 + (42*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (15*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34068] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (12*z^2)/a^6 + (4*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 - 
   3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (9*z^4)/a^4 + (22*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 34069] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (10*z^2)/a^6 + (19*z^2)/a^4 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (23*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 34070] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (9*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 34071] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (17*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 34072] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   7*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (25*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34073] -> -a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 5/a^4 + 
   4/a^2 - (3*z^2)/a^12 + (14*z^2)/a^10 - (19*z^2)/a^8 + (16*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (13*z^4)/a^10 - (28*z^4)/a^8 + 
   (22*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (16*z^6)/a^8 + 
   (15*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 34074] -> 
  -a^(-18) + 6/a^16 - 11/a^14 + 3/a^12 + 4/a^10 - (3*z^2)/a^18 + 
   (24*z^2)/a^16 - (60*z^2)/a^14 + (37*z^2)/a^12 + (16*z^2)/a^10 - z^4/a^18 + 
   (19*z^4)/a^16 - (77*z^4)/a^14 + (74*z^4)/a^12 + (25*z^4)/a^10 + 
   (4*z^6)/a^16 - (37*z^6)/a^14 + (60*z^6)/a^12 + (19*z^6)/a^10 - 
   (6*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 34075] -> 2 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + 
   z^2/a^6 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 34076] -> 
  -a^(-18) + 6/a^16 - 12/a^14 + 7/a^12 - a^(-10) + 2/a^8 - z^2/a^18 + 
   (10*z^2)/a^16 - (27*z^2)/a^14 + (13*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^4)/a^16 - (22*z^4)/a^14 + (17*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 - (6*z^6)/a^14 + (12*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 34077] -> -a^(-12) + 2/a^10 + a^(-8) - 2/a^6 - 3/a^4 + 
   4/a^2 - (3*z^2)/a^12 + (10*z^2)/a^10 + (3*z^2)/a^8 - (16*z^2)/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (4*z^4)/a^8 - 
   (25*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (15*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 34078] -> 2 - a^(-12) + 2/a^10 + a^(-8) - 
   3/a^6 + a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (10*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 34079] -> 
  -1 + a^(-6) - 4/a^4 + 4/a^2 + 3*a^2 - 2*a^4 - 12*z^2 + (3*z^2)/a^6 - 
   (15*z^2)/a^4 + (21*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (13*z^4)/a^4 + (29*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 34080] -> 
  a^(-6) - 4/a^4 + 4/a^2 + a^2 - a^4 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 34081] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^2 - 2*a^4 + a^6 - 21*z^2 - (3*z^2)/a^4 + 
   (15*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 28*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34082] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 20*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (26*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34083] -> -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 
   12*z^2 + z^2/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34084] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (15*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34085] -> 
  -1 - a^(-6) + 2/a^4 + 2*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 34086] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 34087] -> 
  -2/a^14 + 4/a^12 + 2/a^10 - 11/a^8 + 8/a^6 - (6*z^2)/a^14 + (21*z^2)/a^12 - 
   (10*z^2)/a^10 - (21*z^2)/a^8 + (20*z^2)/a^6 - (5*z^4)/a^14 + 
   (31*z^4)/a^12 - (30*z^4)/a^10 - (20*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (30*z^6)/a^10 - (14*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (13*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 34088] -> -a^(-14) + 2/a^12 - a^(-10) + 
   a^(-8) - 4/a^6 + 4/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (7*z^2)/a^10 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   (6*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 34089] -> -2/a^14 + 5/a^12 - 4/a^10 + 
   2/a^8 - 4/a^6 + 4/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (10*z^2)/a^10 + 
   z^2/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (12*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34090] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-4) + 2/a^2 - z^2/a^14 + (5*z^2)/a^12 - 
   z^2/a^10 - (3*z^2)/a^8 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 34091] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 3*a^8 - 
   2*a^10 - 9*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 - 2*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 11*z^4 + z^4/a^2 + 15*a^2*z^4 - 10*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 9*a^2*z^6 - 3*a^6*z^6 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 34092] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 
   a^6 + a^8 - a^10 - z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 3*a^8*z^2 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 
   2*z^6 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 34093] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 + 3*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34094] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^4 - 2*a^6 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 34095] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34096] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   13*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34097] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 - z^2/a^2 + 8*a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 13*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34098] -> -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + 5*a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34099] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34100] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 34101] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34102] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34103] -> -1 + a^(-2) + a^2 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 34104] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 10*a^2*z^2 - 9*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 6*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34105] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 + 
   a^2*z^2 - 6*a^4*z^2 + 2*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 34106] -> 
  4*a^6 - 3*a^8 + 2*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*a^10*z^2 + 
   4*a^12*z^2 - a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 
   3*a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 34107] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 2*a^6*z^4 - 
   4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 34108] -> 2/a^2 - 2*a^2 - a^4 + 2*a^6 - z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 34109] -> 1 + a^(-4) - 2*a^2 - a^4 + 
   2*a^6 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   3*z^4 - z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34110] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 34111] -> 3 - a^(-2) - a^2 + 3*z^2 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^6*z^2 - z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - (2*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 34112] -> 
  -3 + 8*a^2 - 4*a^4 - 8*z^2 + 22*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - 
   (2*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 34113] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^4 + 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34114] -> -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 - z^2/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - (3*z^4)/a^2 + 20*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 34115] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (12*z^2)/a^8 - (12*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (22*z^4)/a^8 - (30*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (14*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34116] -> -1 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^6 + 
   (11*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (21*z^4)/a^4 - (28*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 34117] -> 
  3 - 3/a^6 + 8/a^4 - 7/a^2 + 16*z^2 - (13*z^2)/a^6 + (45*z^2)/a^4 - 
   (47*z^2)/a^2 + 29*z^4 - (16*z^4)/a^6 + (74*z^4)/a^4 - (90*z^4)/a^2 + 
   23*z^6 - (7*z^6)/a^6 + (53*z^6)/a^4 - (82*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (17*z^8)/a^4 - (40*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 34118] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 
   5/a^2 + 10*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 + (9*z^2)/a^4 - (23*z^2)/a^2 + 
   12*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 + (3*z^4)/a^4 - (31*z^4)/a^2 + 6*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (6*z^6)/a^4 - (20*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 34119] -> 1 - 3/a^6 + 8/a^4 - 6/a^2 + a^2 - 5*z^2 - 
   (7*z^2)/a^6 + (23*z^2)/a^4 - (16*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   (5*z^4)/a^6 + (25*z^4)/a^4 - (19*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 - z^6/a^6 + 
   (12*z^6)/a^4 - (14*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34120] -> 
  1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 34121] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 20*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34122] -> 5 - 4/a^6 + 12/a^4 - 12/a^2 + 26*z^2 - 
   (16*z^2)/a^6 + (62*z^2)/a^4 - (72*z^2)/a^2 + 38*z^4 - (17*z^4)/a^6 + 
   (88*z^4)/a^4 - (119*z^4)/a^2 + 25*z^6 - (7*z^6)/a^6 + (56*z^6)/a^4 - 
   (95*z^6)/a^2 + 8*z^8 - z^8/a^6 + (17*z^8)/a^4 - (42*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 34123] -> 
  3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 10*z^2 - (7*z^2)/a^8 + (25*z^2)/a^6 - 
   (16*z^2)/a^4 - (13*z^2)/a^2 + 12*z^4 - (5*z^4)/a^8 + (29*z^4)/a^6 - 
   (26*z^4)/a^4 - (22*z^4)/a^2 + 6*z^6 - z^6/a^8 + (13*z^6)/a^6 - 
   (19*z^6)/a^4 - (18*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (7*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 34124] -> 
  3 - 4/a^6 + 12/a^4 - 11/a^2 + a^2 - 7*z^2 - (8*z^2)/a^6 + (30*z^2)/a^4 - 
   (24*z^2)/a^2 + 8*a^2*z^2 - 18*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - 
   (25*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 - z^6/a^6 + (12*z^6)/a^4 - 
   (16*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 34125] -> 
  1 - 2/a^8 + 5/a^6 - 2/a^4 - 2/a^2 + a^2 + z^2 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 34126] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - z^2 - z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - 8*z^4 - z^4/a^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 34127] -> 
  3 - a^(-10) + 2/a^8 - 3/a^2 + 7*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (10*z^2)/a^2 + 5*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (7*z^4)/a^6 - (7*z^4)/a^4 - (12*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 34128] -> 
  1 - a^(-10) + 2/a^8 - 2/a^2 + a^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 34129] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 - 5*z^4 - z^4/a^2 + 17*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 34130] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 34131] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 
   18*a^4*z^2 + 7*a^6*z^2 + 8*z^4 - (7*z^4)/a^2 + 14*a^2*z^4 - 24*a^4*z^4 + 
   5*a^6*z^4 + 12*z^6 - (5*z^6)/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 34132] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + 
   5*z^2 - (4*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^4 - z^4/a^2 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34133] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   a^2*z^2 - 2*a^4*z^2 + 12*a^6*z^2 - 15*a^8*z^2 + 6*a^10*z^2 - 6*a^2*z^4 + 
   6*a^4*z^4 + 13*a^6*z^4 - 22*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   11*a^4*z^6 + 12*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   6*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 34134] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   3*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   7*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 34135] -> -2/a^14 + 5/a^12 - 5/a^10 + 3/a^6 - 
   (7*z^2)/a^14 + (28*z^2)/a^12 - (29*z^2)/a^10 + (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (5*z^4)/a^14 + (39*z^4)/a^12 - (51*z^4)/a^10 - 
   (2*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (41*z^6)/a^10 - 
   (10*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 34136] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (4*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (8*z^4)/a^10 - (19*z^4)/a^8 + (6*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34137] -> -2/a^14 + 5/a^12 - 5/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (10*z^2)/a^10 - 
   (5*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (11*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34138] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (5*z^2)/a^12 + z^2/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 34139] -> 3*a^8 - 5*a^10 + 8*a^12 - 
   5*a^14 + 22*a^8*z^2 - 32*a^10*z^2 + 47*a^12*z^2 - 20*a^14*z^2 + 
   40*a^8*z^4 - 67*a^10*z^4 + 81*a^12*z^4 - 21*a^14*z^4 + 29*a^8*z^6 - 
   70*a^10*z^6 + 58*a^12*z^6 - 8*a^14*z^6 + 9*a^8*z^8 - 38*a^10*z^8 + 
   18*a^12*z^8 - a^14*z^8 + a^8*z^10 - 10*a^10*z^10 + 2*a^12*z^10 - 
   a^10*z^12, Knot[15, Alternating, 34140] -> a^6 - a^10 + 5*a^12 - 4*a^14 + 
   7*a^6*z^2 + 2*a^8*z^2 - 4*a^10*z^2 + 21*a^12*z^2 - 10*a^14*z^2 + 
   11*a^6*z^4 - 3*a^8*z^4 - 8*a^10*z^4 + 27*a^12*z^4 - 6*a^14*z^4 + 
   6*a^6*z^6 - 10*a^8*z^6 - 11*a^10*z^6 + 13*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 6*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 34141] -> 3*a^8 - 4*a^10 + 6*a^12 - 4*a^14 + 
   6*a^6*z^2 + 5*a^8*z^2 - 6*a^10*z^2 + 21*a^12*z^2 - 10*a^14*z^2 + 
   11*a^6*z^4 - 2*a^8*z^4 - 8*a^10*z^4 + 27*a^12*z^4 - 6*a^14*z^4 + 
   6*a^6*z^6 - 10*a^8*z^6 - 11*a^10*z^6 + 13*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 6*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 34142] -> a^6 + 3*a^12 - 3*a^14 + 2*a^4*z^2 + 
   5*a^6*z^2 + 4*a^10*z^2 + 8*a^12*z^2 - 4*a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 
   5*a^8*z^4 + 3*a^10*z^4 + 8*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 
   7*a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34143] -> 3*a^8 - 3*a^10 + 4*a^12 - 3*a^14 + 
   6*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + 13*a^12*z^2 - 7*a^14*z^2 + 11*a^6*z^4 - 
   5*a^8*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 11*a^8*z^6 - 
   6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 34144] -> 
  a^6 + a^10 + a^12 - 2*a^14 + 2*a^4*z^2 + 5*a^6*z^2 + 5*a^10*z^2 + 
   5*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 + 4*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34145] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   18*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 24*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 + 26*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34146] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   4*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 20*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 
   4*z^4 + 18*a^2*z^4 - 26*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 34147] -> 
  2*a^6 - 3*a^8 + 3*a^10 + 2*a^12 - 3*a^14 + 13*a^6*z^2 - 15*a^8*z^2 + 
   14*a^10*z^2 + 10*a^12*z^2 - 7*a^14*z^2 + 16*a^6*z^4 - 23*a^8*z^4 + 
   10*a^10*z^4 + 18*a^12*z^4 - 5*a^14*z^4 + 7*a^6*z^6 - 18*a^8*z^6 - 
   4*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 7*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 34148] -> 
  2*a^6 - 3*a^8 + 4*a^10 - 2*a^14 + 4*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 
   10*a^10*z^2 + 4*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 
   6*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34149] -> 2*a^6 - 3*a^8 + 5*a^10 - 2*a^12 - a^14 + 
   4*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 13*a^10*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 
   a^6*z^4 - 8*a^8*z^4 + 9*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 7*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34150] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   3*z^2 - z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 34151] -> 
  1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 - 5*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34152] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 - z^2 + 3*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 10*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 14*a^4*z^4 + 18*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34153] -> 1 + a^(-4) - a^(-2) + a^2 - 3*a^4 + 2*a^6 + 
   z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 + z^4 - z^4/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 34154] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34155] -> a^4 - a^6 + a^8 + 3*a^12 - 3*a^14 + 
   6*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 + 10*a^12*z^2 - 4*a^14*z^2 + 5*a^4*z^4 - 
   7*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + 9*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   5*a^6*z^6 - 3*a^8*z^6 - 4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 34156] -> a^4 - a^6 + a^8 + a^10 + a^12 - 
   2*a^14 + 2*a^2*z^2 + 2*a^4*z^2 + 3*a^8*z^2 + 3*a^10*z^2 + 4*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 34157] -> a^4 - a^6 + a^8 + 2*a^10 - a^12 - a^14 + 
   2*a^2*z^2 + 2*a^4*z^2 + 2*a^8*z^2 + 5*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 34158] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 9*z^2 + 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 34159] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 6*z^2 - z^2/a^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34160] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   2*a^2*z^4 - 7*a^4*z^4 + 14*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 34161] -> 
  a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 9*a^4*z^2 - 23*a^6*z^2 + 37*a^8*z^2 - 
   14*a^10*z^2 + 18*a^4*z^4 - 55*a^6*z^4 + 63*a^8*z^4 - 16*a^10*z^4 + 
   17*a^4*z^6 - 58*a^6*z^6 + 47*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 34162] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 17*a^8*z^2 - 7*a^10*z^2 + 5*a^2*z^4 - 
   8*a^4*z^4 - 8*a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34163] -> 
  a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 6*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + 
   15*a^8*z^2 - 7*a^10*z^2 + 8*a^2*z^4 - 18*a^4*z^4 - a^6*z^4 + 20*a^8*z^4 - 
   5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 7*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34164] -> a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34165] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 24*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 34166] -> 
  -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - z^4/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34167] -> 
  1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34168] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 - 
   a^4*z^2 + 16*a^6*z^2 - 18*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 24*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   11*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 34169] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 
   2*z^2 + 12*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 5*z^4 + 
   15*a^2*z^4 - 15*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 
   2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 34170] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 - 2*a^4*z^2 + 20*a^6*z^2 - 19*a^8*z^2 + 
   5*a^10*z^2 + a^12*z^2 - 5*a^4*z^4 + 21*a^6*z^4 - 15*a^8*z^4 - 4*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 34171] -> -1 + a^2 + 4*a^4 - 3*a^6 - 11*a^2*z^2 + 
   29*a^4*z^2 - 13*a^6*z^2 + 12*z^4 - 40*a^2*z^4 + 57*a^4*z^4 - 16*a^6*z^4 + 
   16*z^6 - 51*a^2*z^6 + 46*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 31*a^2*z^8 + 
   16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 34172] -> -a^2 + 5*a^4 - 3*a^6 + 3*z^2 - 12*a^2*z^2 + 
   17*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + 7*z^4 - 19*a^2*z^4 + 14*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 34173] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 
   a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   20*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 8*a^2*z^6 + 11*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34174] -> 3*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 - 
   2*a^2*z^2 + 8*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34175] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34176] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 5*z^2 - 
   (6*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (12*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34177] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2/a^10 + (10*z^2)/a^8 - (15*z^2)/a^6 + 
   (5*z^2)/a^2 - (4*z^4)/a^10 + (13*z^4)/a^8 - (16*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 34178] -> 1 + 2/a^4 - 3/a^2 + a^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34179] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 6*z^2 + (7*z^2)/a^4 - (9*z^2)/a^2 + 
   5*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34180] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^8 - (10*z^2)/a^6 + (16*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (10*z^4)/a^6 + (16*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34181] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34182] -> 
  -1 - 2/a^4 + 4/a^2 - 9*z^2 + z^2/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 
   a^2*z^2 - 12*z^4 - z^4/a^6 - (6*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34183] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 34184] -> 
  4 - 4/a^6 + 11/a^4 - 10/a^2 + 18*z^2 - (12*z^2)/a^6 + (46*z^2)/a^4 - 
   (51*z^2)/a^2 + 28*z^4 - (13*z^4)/a^6 + (66*z^4)/a^4 - (87*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 34185] -> -a^(-8) - a^(-6) + 4/a^4 - 
   a^(-2) - z^2/a^10 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34186] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 13*z^2 - 
   (11*z^2)/a^6 + (38*z^2)/a^4 - (38*z^2)/a^2 + 24*z^4 - (13*z^4)/a^6 + 
   (61*z^4)/a^4 - (74*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 34187] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 7*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (13*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (7*z^4)/a^4 - 
   (20*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - 
   (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 34188] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - 
   a^(-2) + 7*z^2 - (5*z^2)/a^8 + (19*z^2)/a^6 - (13*z^2)/a^4 - (8*z^2)/a^2 + 
   9*z^4 - (4*z^4)/a^8 + (22*z^4)/a^6 - (20*z^4)/a^4 - (16*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 34189] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 
   4*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - z^4 - 
   3*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 34190] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (6*z^4)/a^6 + 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34191] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 - z^2/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 
   4*a^6*z^2 - (2*z^4)/a^2 + 16*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 34192] -> 
  -2/a^14 + 5/a^12 - 5/a^10 + 3/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (13*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (15*z^4)/a^12 - (19*z^4)/a^10 - (14*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (13*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34193] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - z^2/a^14 + (7*z^2)/a^12 - 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 34194] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^10 + z^2/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34195] -> 
  3*a^8 - 3*a^10 + 4*a^12 - 3*a^14 + 4*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 
   13*a^12*z^2 - 7*a^14*z^2 + 8*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + 
   19*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 6*a^8*z^6 - 7*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 34196] -> 
  a^6 + a^10 + a^12 - 2*a^14 + 2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 + 
   3*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 + 3*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34197] -> -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 
   21*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 27*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 34198] -> 
  -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 15*z^2 + (5*z^2)/a^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 
   25*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34199] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   2/a^6 - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34200] -> -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 
   2*a^2 - 14*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - (17*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (24*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 34201] -> -4 - a^(-4) + 3/a^2 + 6*a^2 - 
   4*a^4 + a^6 - 13*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34202] -> 2*a^6 - 3*a^8 + 5*a^10 - 2*a^12 - a^14 + 
   2*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 17*a^10*z^2 - 2*a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 + 5*a^6*z^4 - 14*a^8*z^4 + 15*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 11*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34203] -> a^(-10) - 2/a^8 + 3/a^6 - 5/a^4 + 4/a^2 + 
   z^2 + z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34204] -> -3 + a^(-8) - a^(-6) + a^(-4) + 
   3*a^2 - 6*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 34205] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34206] -> 1 + a^(-4) - a^(-2) - 2*a^4 + 3*a^6 - a^8 + 
   4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 + 5*z^4 + z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 34207] -> a^4 - 3*a^6 + 8*a^8 - 5*a^10 + 10*a^4*z^2 - 
   28*a^6*z^2 + 45*a^8*z^2 - 17*a^10*z^2 + 21*a^4*z^4 - 63*a^6*z^4 + 
   71*a^8*z^4 - 17*a^10*z^4 + 18*a^4*z^6 - 63*a^6*z^6 + 49*a^8*z^6 - 
   7*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 34208] -> 
  a^6 + 3*a^8 - 3*a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 14*a^8*z^2 - 
   7*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 
   5*a^2*z^6 - 14*a^4*z^6 - 7*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34209] -> a^2 - 2*a^4 + a^6 + 5*a^8 - 4*a^10 + 
   6*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 9*a^2*z^4 - 
   19*a^4*z^4 - 2*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34210] -> a^2 - 3*a^4 + 5*a^6 - 2*a^10 + 2*z^2 - 
   6*a^4*z^2 + 10*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 
   9*a^4*z^4 + 5*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34211] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + 3*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 7*a^2*z^4 - 13*a^4*z^4 + 2*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 - 4*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34212] -> 1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34213] -> 
  a^4 + 2*a^6 - 2*a^8 - a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34214] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 3*a^4*z^2 + 2*a^8*z^2 - 2*z^4 + 
   4*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 
   a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 34215] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + z^4/a^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34216] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 15*z^4 + (5*z^4)/a^2 + 15*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 2*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34217] -> -2 - a^(-8) + 4/a^2 - 5*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (12*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - 
   (2*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34218] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 + (14*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34219] -> 6*a^6 - 8*a^8 + 4*a^10 - a^12 + 15*a^6*z^2 - 
   16*a^8*z^2 + 6*a^10*z^2 - 2*a^4*z^4 + 13*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 34220] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - z^2 + 10*a^2*z^2 - 20*a^4*z^2 + 
   18*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 24*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34221] -> -1 + 6*a^4 - 4*a^6 + z^2 - 12*a^2*z^2 + 
   29*a^4*z^2 - 12*a^6*z^2 + 11*z^4 - 36*a^2*z^4 + 49*a^4*z^4 - 13*a^6*z^4 + 
   13*z^6 - 43*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 34222] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34223] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   6*z^2 + z^2/a^2 + 15*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34224] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34225] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 3*z^2 + 
   (3*z^2)/a^8 - (19*z^2)/a^6 + (28*z^2)/a^4 - (4*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (23*z^4)/a^6 + (39*z^4)/a^4 - (3*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (28*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34226] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (6*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - (15*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34227] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34228] -> 
  -a^(-10) + a^(-8) + a^(-2) - (3*z^2)/a^10 + (9*z^2)/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34229] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 9*z^2 - (9*z^2)/a^6 + (30*z^2)/a^4 - 
   (27*z^2)/a^2 + 20*z^4 - (12*z^4)/a^6 + (53*z^4)/a^4 - (61*z^4)/a^2 + 
   18*z^6 - (6*z^6)/a^6 + (42*z^6)/a^4 - (62*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 34230] -> 2 - a^(-8) + 4/a^4 - 4/a^2 + 
   7*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + (11*z^2)/a^4 - (17*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 + (6*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 34231] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34232] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (11*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + 
   (18*z^4)/a^8 + (2*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + 
   (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34233] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34234] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 12*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34235] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 34236] -> 
  3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 2*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 
   11*a^12*z^2 - 7*a^14*z^2 + 7*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 
   19*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 5*a^8*z^6 - 7*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 34237] -> 
  a^6 + a^8 - a^10 + 2*a^12 - 2*a^14 + 6*a^6*z^2 + 4*a^8*z^2 + a^10*z^2 + 
   5*a^12*z^2 - 3*a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 + 3*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34238] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34239] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 13*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34240] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34241] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   13*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 34242] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 10*a^8*z^2 - 
   5*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34243] -> a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 
   12*a^4*z^4 - 3*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34244] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34245] -> 
  -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34246] -> 
  1 + 2*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 13*a^2*z^2 - 21*a^4*z^2 + 
   13*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 21*a^2*z^4 - 24*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34247] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34248] -> 
  2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 12*a^6*z^2 - 14*a^8*z^2 + 
   5*a^10*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 34249] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 6*z^2 + 
   20*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34250] -> -1 - a^2 + 8*a^4 - 5*a^6 + 
   2*z^2 - 18*a^2*z^2 + 39*a^4*z^2 - 16*a^6*z^2 + 15*z^4 - 49*a^2*z^4 + 
   65*a^4*z^4 - 17*a^6*z^4 + 17*z^6 - 56*a^2*z^6 + 48*a^4*z^6 - 7*a^6*z^6 + 
   7*z^8 - 32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 34251] -> 
  -3 + 6*a^2 - 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 + 10*a^4*z^2 - 
   7*a^6*z^2 - 14*z^4 + (7*z^4)/a^2 + 4*a^2*z^4 + 19*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + (5*z^6)/a^2 - 6*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34252] -> -2*a^2 + 6*a^4 - 2*a^6 - a^8 + 4*z^2 - 
   14*a^2*z^2 + 18*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 21*a^2*z^4 + 
   13*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 34253] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   4*z^2 + (2*z^2)/a^2 - a^2*z^2 + 11*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34254] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34255] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - (2*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34256] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 34257] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (8*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34258] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 34259] -> -2 + a^(-6) - a^(-2) + 4*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   14*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34260] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 34261] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + z^4 - 
   z^4/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34262] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34263] -> 
  -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 17*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 + 
   3*a^4*z^2 - 4*a^6*z^2 - 22*z^4 + (8*z^4)/a^2 + 12*a^2*z^4 + 11*a^4*z^4 - 
   4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34264] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 9*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34265] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (12*z^4)/a^8 + (9*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34266] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   z^2 + z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4 - (3*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 34267] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + 
   (14*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34268] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 34269] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (5*z^2)/a^6 - (6*z^2)/a^4 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (9*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34270] -> -2 - 2/a^6 + 4/a^4 + a^4 - 
   7*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   12*z^4 - z^4/a^6 + (12*z^4)/a^4 - (12*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   (2*z^8)/a^2 - a^2*z^8, Knot[15, Alternating, 34271] -> 
  1 - 2/a^10 + 4/a^8 - a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (13*z^2)/a^8 - (7*z^2)/a^6 - (5*z^2)/a^4 + 3*z^4 - z^4/a^10 + 
   (11*z^4)/a^8 - (12*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34272] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 2/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (16*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   (9*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 34273] -> -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (16*z^2)/a^10 + 
   (7*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (13*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 34274] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 
   13*z^2 + z^2/a^6 + (2*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   11*z^4 + z^4/a^6 - (2*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 34275] -> -1 - a^(-8) + a^(-6) + 2/a^4 - 
   a^(-2) + a^4 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 34276] -> 1 - a^(-12) + a^(-10) + 2/a^8 - 2/a^6 - 
   a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (9*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 34277] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 3*z^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34278] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34279] -> -a^(-8) + 2/a^6 - a^(-4) + a^(-2) - a^2 + 
   a^4 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 34280] -> 1 - a^(-12) + 2/a^10 - a^(-8) + 2*z^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34281] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 34282] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 2*z^2 - z^2/a^12 + z^2/a^10 + 
   (4*z^2)/a^8 - (4*z^2)/a^4 + z^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 34283] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^4 + z^4 - 
   z^4/a^10 + z^4/a^8 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34284] -> a^(-10) - a^(-8) - a^(-6) + 2/a^2 + 
   z^2/a^8 - z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (7*z^4)/a^8 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34285] -> a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34286] -> 1 + a^(-10) - 2/a^8 + a^(-6) + 2*z^2 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34287] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   2*a^4*z^2 + 12*a^6*z^2 + 3*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   3*a^4*z^4 + 13*a^6*z^4 + 6*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   9*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 34288] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 34289] -> 
  -a^4 + 6*a^6 - 3*a^8 - 2*a^10 + a^12 - 3*a^4*z^2 + 14*a^6*z^2 + a^8*z^2 - 
   8*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 14*a^6*z^4 + 6*a^8*z^4 - 
   8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 34290] -> 
  6*a^8 - 6*a^10 + a^12 - a^4*z^2 - 2*a^6*z^2 + 31*a^8*z^2 - 23*a^10*z^2 + 
   4*a^12*z^2 - 4*a^4*z^4 - 2*a^6*z^4 + 47*a^8*z^4 - 29*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 34*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 34291] -> a^6 + 4*a^8 - 5*a^10 + a^12 - 2*a^4*z^2 + 
   8*a^6*z^2 + 11*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 
   12*a^6*z^4 + 11*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 34292] -> 6*a^8 - 6*a^10 + a^12 + a^6*z^2 + 
   20*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 + 
   21*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 + 11*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 34293] -> a^4 + 2*a^8 - 2*a^10 + a^4*z^2 + a^6*z^2 + 
   12*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 4*a^6*z^4 + 
   15*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 6*a^6*z^6 + 9*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 34294] -> 6*a^8 - 6*a^10 + a^12 - a^4*z^2 + 
   4*a^6*z^2 + 17*a^8*z^2 - 13*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 9*a^6*z^4 + 18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 34295] -> a^6 + 4*a^8 - 5*a^10 + a^12 + 
   a^4*z^2 + 4*a^6*z^2 + 9*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 34296] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 26*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (19*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34297] -> 
  -5 + a^(-6) - 4/a^4 + 8/a^2 - a^2 + 2*a^4 - 8*z^2 - (7*z^2)/a^4 + 
   (15*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34298] -> a^2 - 2*a^4 + a^6 + 5*a^8 - 4*a^10 + 
   4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 6*a^2*z^4 - 
   11*a^4*z^4 - 5*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34299] -> 2*a^2 - 6*a^4 + 8*a^6 - a^8 - 2*a^10 + 
   7*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 + 11*a^8*z^2 - 7*a^10*z^2 + 
   9*a^2*z^4 - 21*a^4*z^4 + 3*a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 7*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34300] -> -10 - a^(-8) + 4/a^6 - 8/a^4 + 12/a^2 + 
   4*a^2 - 21*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (24*z^2)/a^4 + 
   (30*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (28*z^4)/a^4 + (32*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (17*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 34301] -> -4 + a^(-2) + 8*a^2 - 7*a^4 + 
   5*a^6 - 2*a^8 - 8*z^2 + z^2/a^4 + z^2/a^2 + 16*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 34302] -> 1 - 2*a^2 + a^4 + 2*a^6 + a^8 - 
   2*a^10 + 3*z^2 - 4*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 
   3*a^10*z^2 + 3*z^4 - 4*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 + 6*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34303] -> 
  a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 + 
   12*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 + 16*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34304] -> 2*a^2 - 5*a^4 + 6*a^6 - 2*a^10 + 5*a^2*z^2 - 
   12*a^4*z^2 + 11*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34305] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   9*a^2*z^4 - 17*a^4*z^4 + 17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 34306] -> 
  1 + a^6 - 2*a^8 + a^10 + z^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34307] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 - 
   z^2/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (2*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34308] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 - z^2/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + 
   (5*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34309] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34310] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34311] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 34312] -> 
  -1 + 5*a^2 - a^4 - 5*a^6 + 3*a^8 - 3*z^2 + 11*a^2*z^2 - 20*a^6*z^2 + 
   10*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 2*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34313] -> -1 + 6*a^2 - 5*a^4 + a^8 - 3*z^2 + 
   15*a^2*z^2 - 12*a^4*z^2 - 8*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 16*a^2*z^4 - 
   15*a^4*z^4 - 18*a^6*z^4 + 9*a^8*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34314] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + 
   (29*z^2)/a^4 - (8*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (22*z^4)/a^6 + 
   (37*z^4)/a^4 - (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (27*z^6)/a^4 + z^6/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (3*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 34315] -> 
  6*a^4 - 8*a^6 + 3*a^8 - z^2 + a^2*z^2 + 12*a^4*z^2 - 19*a^6*z^2 + 
   7*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 7*a^4*z^4 - 21*a^6*z^4 + 7*a^8*z^4 - z^6 + 
   6*a^2*z^6 - a^4*z^6 - 13*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34316] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + 3*a^2*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34317] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 5*z^2 - 
   (3*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (20*z^4)/a^4 - (26*z^4)/a^2 + 6*a^2*z^4 - 6*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (24*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 34318] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (25*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (39*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 34319] -> -a^(-18) + 6/a^16 - 11/a^14 + 
   5/a^12 + 2/a^8 + (6*z^2)/a^16 - (22*z^2)/a^14 + (11*z^2)/a^12 + 
   (10*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (11*z^4)/a^14 + (13*z^4)/a^12 + 
   (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 34320] -> 
  -a^(-14) + 6/a^12 - 12/a^10 + 8/a^8 - a^(-6) + a^(-4) - z^2/a^14 + 
   (8*z^2)/a^12 - (19*z^2)/a^10 + (15*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - (12*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34321] -> 12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 23*z^2 + 
   z^2/a^6 - z^2/a^4 - (13*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34322] -> -1 - a^(-8) + 2/a^6 + a^4 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34323] -> 1 - a^(-12) + 2/a^10 - a^(-6) - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34324] -> 
  -a^4 + 3*a^6 + 3*a^8 - 5*a^10 + a^12 - a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 + 
   15*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 + 
   19*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 34325] -> 3 - 7*a^2 + 8*a^4 - 3*a^6 - z^2 + 
   (3*z^2)/a^2 - 12*a^2*z^2 + 14*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + z^4/a^4 - 
   5*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34326] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   z^2/a^2 + 7*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   9*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 + 8*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34327] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 34328] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 9*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 34329] -> 
  -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34330] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34331] -> -3 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + a^4 - 
   6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 34332] -> 
  1 - a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34333] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   z^2/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 34334] -> 
  -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - a^2*z^2 - 7*a^4*z^2 + 23*a^6*z^2 + 
   2*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 
   27*a^6*z^4 + 11*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 34335] -> -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - 
   2*a^2*z^2 - 2*a^4*z^2 + 17*a^6*z^2 + 2*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - 
   z^4 - 2*a^2*z^4 + 3*a^4*z^4 + 16*a^6*z^4 + 6*a^8*z^4 - 5*a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 7*a^6*z^6 + 4*a^8*z^6, 
 Knot[15, Alternating, 34336] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 + 9*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 34337] -> 
  1 - a^2 + 2*a^4 - a^6 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34338] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 
   4*z^6 - z^6/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 34339] -> 1 + a^(-6) - 2/a^4 + 2/a^2 - 
   2*a^2 + a^6 + 2*z^2 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 34340] -> a^2 - 2*a^6 + 3*a^8 + a^10 - 2*a^12 + 
   3*a^2*z^2 + 2*a^4*z^2 - 9*a^6*z^2 + 9*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 + 
   3*a^2*z^4 - a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 3*a^4*z^6 - 9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 
   2*a^6*z^8 - a^8*z^8, Knot[15, Alternating, 34341] -> 
  2*a^2 - 3*a^4 + a^6 + 3*a^8 - a^10 - a^12 + 5*a^2*z^2 - 4*a^4*z^2 - 
   5*a^6*z^2 + 10*a^8*z^2 + 4*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 5*a^4*z^4 - 
   12*a^6*z^4 + 5*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 
   9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 34342] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) - 
   4*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 34343] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 5*z^2 + z^2/a^4 + 
   z^2/a^2 + 4*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 4*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 
   2*a^4*z^6, Knot[15, Alternating, 34344] -> 1 - a^2 + a^6 + a^8 - a^12 + 
   2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 34345] -> 
  a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 5*a^6*z^2 + 6*a^8*z^2 + 2*a^12*z^2 - 
   2*a^14*z^2 + a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 + 3*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 3*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 34346] -> 2*a^2 - a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 34347] -> a^2 + a^8 - a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34348] -> 
  a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34349] -> -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 12*z^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 34350] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 
   3*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34351] -> 2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 + 
   z^2/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34352] -> 3 + 2/a^4 - 4/a^2 + z^2 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 34353] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 9*a^4*z^2 - 
   5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 34354] -> 
  1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34355] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 34356] -> 1 + a^2 - 2*a^4 + 2*a^6 - 
   2*a^8 + a^10 + z^2 - a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 5*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 34357] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 + z^2/a^6 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34358] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34359] -> a^2 + a^4 - a^6 + 2*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34360] -> 
  1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 3*z^2 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + z^4/a^6 - 
   (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34361] -> -2 + 4/a^6 - 11/a^4 + 10/a^2 - 5*z^2 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (23*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34362] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 + z^2/a^8 + (7*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (3*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34363] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 7*z^2 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34364] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 - z^2/a^6 - 
   z^2/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34365] -> -2 + a^(-8) - 6/a^4 + 8/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 - (8*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34366] -> 2 + 3/a^6 - 7/a^4 + 4/a^2 - a^2 + 4*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34367] -> -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 10*z^4 - (2*z^4)/a^4 - 
   z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + z^6/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 34368] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 17*z^2 - 
   z^2/a^6 - z^2/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 13*z^6 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 34369] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34370] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 - z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34371] -> 
  -2 - 3/a^4 + 6/a^2 - 8*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 + a^2*z^2 - 
   11*z^4 - (3*z^4)/a^6 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34372] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (16*z^2)/a^8 + (2*z^2)/a^6 + (3*z^4)/a^12 - (19*z^4)/a^10 + (30*z^4)/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (25*z^6)/a^8 + 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 34373] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + z^2/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (13*z^2)/a^6 + (3*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + (7*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34374] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - (10*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   (14*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34375] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (12*z^2)/a^10 + (8*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (12*z^4)/a^10 + (13*z^4)/a^8 + (22*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (15*z^6)/a^6 - 
   z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34376] -> 6 - 10*a^2 + 5*a^4 + 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 27*a^2*z^2 + 12*a^4*z^2 - z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   30*a^2*z^4 + 11*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 18*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34377] -> 2/a^12 - 8/a^10 + 7/a^8 + (5*z^2)/a^12 - 
   (28*z^2)/a^10 + (35*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (32*z^4)/a^10 + (52*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (16*z^6)/a^10 + (36*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (13*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34378] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (6*z^2)/a^8 + (12*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (8*z^4)/a^8 + (17*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34379] -> -a^(-8) + 2/a^4 - 2*z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (14*z^4)/a^6 + (10*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34380] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34381] -> 5 - 6*a^2 + 2*a^6 + 7*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 16*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 16*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34382] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (17*z^2)/a^6 + (24*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (22*z^4)/a^6 + (33*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (26*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34383] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (16*z^2)/a^8 - (18*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (22*z^4)/a^8 - (31*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (26*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 34384] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 
   2*a^2 - 3*z^2 - (5*z^2)/a^6 + (25*z^2)/a^4 - (26*z^2)/a^2 + 7*a^2*z^2 - 
   7*z^4 - (4*z^4)/a^6 + (31*z^4)/a^4 - (44*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - 
   z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 34385] -> -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - 
   (7*z^2)/a^10 + (31*z^2)/a^8 - (34*z^2)/a^6 + (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (38*z^4)/a^8 - (53*z^4)/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (18*z^6)/a^8 - (39*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (14*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 34386] -> 1 - 2/a^10 + 6/a^8 - 5/a^6 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (14*z^2)/a^8 - (9*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (11*z^4)/a^8 - (10*z^4)/a^6 - 
   (17*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34387] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 34388] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (21*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 34389] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (7*z^2)/a^10 - (19*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 + (2*z^4)/a^10 - (24*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34390] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (24*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (27*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 34391] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + 
   (14*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 34392] -> -a^(-18) + 6/a^16 - 11/a^14 + 3/a^12 + 
   4/a^10 - z^2/a^18 + (12*z^2)/a^16 - (35*z^2)/a^14 + (16*z^2)/a^12 + 
   (21*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (32*z^4)/a^14 + (28*z^4)/a^12 + 
   (34*z^4)/a^10 + (3*z^4)/a^8 - (9*z^6)/a^14 + (20*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 34393] -> -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (19*z^2)/a^12 - (29*z^2)/a^10 + (14*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (28*z^4)/a^12 - (43*z^4)/a^10 + 
   (12*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (33*z^6)/a^10 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 34394] -> 
  -a^(-14) + 5/a^12 - 10/a^10 + 7/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (15*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34395] -> -1 - a^(-8) + 2/a^6 + a^(-4) - 2/a^2 + 
   2*a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + 
   4*a^2*z^2 - 2*z^4 - z^4/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (16*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 34396] -> 
  -a^(-12) + 2/a^10 + 2/a^8 - 6/a^6 + 2/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 + z^2/a^8 - (19*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (12*z^4)/a^10 - (7*z^4)/a^8 - (25*z^4)/a^6 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (8*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 34397] -> 
  1 - a^(-12) + 2/a^10 + a^(-8) - 3/a^6 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (5*z^2)/a^10 + (2*z^2)/a^8 - (8*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - z^4/a^8 - (11*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 34398] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 11*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - 14*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - 11*z^6 - z^6/a^4 + (10*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34399] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (17*z^4)/a^8 - (6*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34400] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + 3*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34401] -> 
  -2*a^4 + 6*a^6 - 4*a^10 + a^12 - 2*a^2*z^2 - 4*a^4*z^2 + 17*a^6*z^2 + 
   10*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 20*a^6*z^4 + 
   18*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 34402] -> 2 - 7*a^2 + 11*a^4 - 5*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 8*a^2*z^2 + 23*a^4*z^2 - 9*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 22*a^4*z^4 - 8*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 34403] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (8*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (4*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (4*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 34404] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - 
   (14*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (12*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 34405] -> -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34406] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - 
   2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34407] -> 
  -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (22*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34408] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 - (3*z^2)/a^12 + (12*z^2)/a^10 - 
   (11*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (12*z^4)/a^10 - (20*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (14*z^6)/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 34409] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 
   2/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34410] -> 5 + 2/a^4 - 5/a^2 - a^2 + 12*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 34411] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34412] -> 
  -2 - a^(-6) + 2/a^4 + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 + 6*a^2*z^2 - 13*z^4 - z^4/a^6 + (6*z^4)/a^4 + 2*a^2*z^4 + 
   2*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 34413] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (2*z^2)/a^12 + (3*z^2)/a^10 + 
   (7*z^2)/a^8 - (10*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (6*z^4)/a^10 + (3*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 34414] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + z^2/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 34415] -> 
  -a^2 + 2*a^4 + a^6 + 2*a^8 - 4*a^10 + a^12 - z^2 - 2*a^2*z^2 + 5*a^4*z^2 + 
   7*a^6*z^2 + 6*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - z^4 + 6*a^4*z^4 + 
   9*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 34416] -> a^(-4) - a^(-2) + a^2 + 
   z^2/a^6 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34417] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 6*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 13*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34418] -> -7 + 4/a^2 + 4*a^2 - 21*z^2 - (3*z^2)/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34419] -> 
  -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 7*z^2 - z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   (13*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34420] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34421] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 - 
   z^2 + z^2/a^2 - a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 
   z^4/a^2 - a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 4*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 34422] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 + z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34423] -> 
  a^6 + a^8 + a^10 - 2*a^12 + a^4*z^2 + 5*a^6*z^2 + 10*a^10*z^2 - 
   4*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + 13*a^10*z^4 + 
   a^12*z^4 - a^14*z^4 + a^4*z^6 - 8*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 34424] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (7*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (15*z^4)/a^10 - (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34425] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (6*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (4*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 34426] -> -8 - a^(-8) + 3/a^6 - 4/a^4 + 7/a^2 + 
   4*a^2 - 20*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + 
   (24*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (25*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (16*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 34427] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 
   3/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 34428] -> 
  1 - a^2 + a^4 - a^6 + 2*a^8 - a^12 + 2*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   3*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 34429] -> 
  -2 + a^(-2) + a^2 + 2*a^4 - a^8 - 5*z^2 + (2*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34430] -> 
  1 - a^6 + 2*a^8 - a^10 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   4*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + z^4/a^2 + 5*a^2*z^4 + a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 34431] -> 2*a^4 - a^8 - z^2 + z^2/a^2 - 2*a^2*z^2 + 
   5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34432] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 - a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34433] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 - a^2*z^2 + 3*a^4*z^2 + 12*a^6*z^2 - 
   16*a^8*z^2 + 7*a^10*z^2 - 2*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 - 16*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 - 4*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 34434] -> -1 + 2/a^2 - a^2 + a^6 - 4*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 2*z^4 - z^4/a^2 + 
   a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 34435] -> a^(-4) - a^2 + a^6 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^4 - 
   z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 34436] -> 
  3/a^6 - 7/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (19*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (12*z^4)/a^6 - (23*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 34437] -> 
  2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 34438] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 + 5*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 3*z^4 + z^4/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 8*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 34439] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 + 5*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 9*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 34440] -> 2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 
   3*z^2 - 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 + 
   z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*z^6 - z^6/a^2 - 4*a^2*z^6 - 
   2*a^4*z^6, Knot[15, Alternating, 34441] -> -1 + a^(-2) + a^2 - 6*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34442] -> 
  1 + 3*z^2 - z^2/a^10 + (5*z^2)/a^8 - (8*z^2)/a^4 + z^2/a^2 + 3*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34443] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 16*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (9*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 34444] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - (2*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^8 - 
   (10*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - 
   (12*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (12*z^6)/a^8 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 34445] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 - z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34446] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34447] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 8*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   14*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34448] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^2 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 34449] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 8*a^2*z^2 - 9*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 10*a^2*z^4 - 
   11*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 34450] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 - z^2 + 3*a^2*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   7*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 34451] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 2*a^4*z^2 - 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 34452] -> 4*a^8 - 5*a^10 + 5*a^12 - 3*a^14 + 
   3*a^4*z^2 + 11*a^8*z^2 - 7*a^10*z^2 + 11*a^12*z^2 - 4*a^14*z^2 + 
   4*a^4*z^4 - 3*a^6*z^4 + 6*a^8*z^4 - 5*a^10*z^4 + 9*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 4*a^6*z^6 - 2*a^8*z^6 - 4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   a^8*z^8 - a^10*z^8, Knot[15, Alternating, 34453] -> 
  a^6 + a^8 - a^10 + 2*a^12 - 2*a^14 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 + 4*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^6*z^4 - 
   a^8*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 34454] -> -2 + a^(-2) + 3*a^2 - 2*a^6 + a^8 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 
   z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 34455] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   4*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - a^2*z^4 - 
   3*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34456] -> 
  2*a^6 - 2*a^8 + 3*a^10 - a^12 - a^14 + 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 
   5*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 34457] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 
   2*z^2 - z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34458] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 34459] -> a^4 - a^6 + 2*a^8 - a^14 + z^2 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^8*z^2 + 2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 - a^10*z^4, 
 Knot[15, Alternating, 34460] -> 1 + a^6 - 2*a^8 + a^10 - a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4/a^2 + a^2*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34461] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34462] -> 
  3*a^4 - a^6 - 3*a^8 + 3*a^10 - a^12 - a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 
   8*a^8*z^2 + 4*a^10*z^2 + z^4 - 3*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34463] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 - 
   a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 34464] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 9*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 18*a^4*z^4 + 13*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34465] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 34466] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 - 3*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 - 3*z^4 + z^4/a^2 + 18*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 34467] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 + 2*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (9*z^4)/a^6 - (24*z^4)/a^4 + (7*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (16*z^6)/a^4 - (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34468] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2 - z^2/a^6 + 
   (7*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (5*z^4)/a^6 + 
   (13*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34469] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - 4*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 34470] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   17*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34471] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 18*z^2 + 
   (2*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 16*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 4*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 34472] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (9*z^4)/a^8 - (12*z^4)/a^6 + (7*z^4)/a^4 - z^6/a^10 + (10*z^6)/a^8 - 
   (16*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - 
   (2*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34473] -> -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + 
   12*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 6*z^4 + z^4/a^2 + 11*a^2*z^4 + 
   7*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + z^6/a^2 + 6*a^2*z^6 + 8*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34474] -> 3 - a^(-2) - a^2 + 9*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 15*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 34475] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 + z^4/a^6 - (2*z^4)/a^4 + 3*a^2*z^4 - 2*a^4*z^4 + 
   5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34476] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 + (2*z^4)/a^4 - 3*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (13*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (9*z^8)/a^4 + 
   (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 34477] -> 
  -3 + 8*a^2 - 4*a^4 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   5*z^6 - z^6/a^4 + (6*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34478] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   3*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34479] -> -3 + 8*a^2 - 4*a^4 - 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 34480] -> 3 - 4/a^6 + 10/a^4 - 8/a^2 + 
   15*z^2 - (12*z^2)/a^6 + (43*z^2)/a^4 - (44*z^2)/a^2 + 25*z^4 - 
   (13*z^4)/a^6 + (63*z^4)/a^4 - (78*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + 
   (44*z^6)/a^4 - (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - 
   (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 34481] -> 4 - 4/a^6 + 11/a^4 - 10/a^2 + z^2 - 
   (6*z^2)/a^6 + (23*z^2)/a^4 - (20*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (4*z^4)/a^6 + (21*z^4)/a^4 - (19*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34482] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 3*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 34483] -> 
  2 - a^(-2) + a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - a^6*z^4 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34484] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 9*z^2 - 
   (11*z^2)/a^6 + (34*z^2)/a^4 - (29*z^2)/a^2 + 20*z^4 - (13*z^4)/a^6 + 
   (57*z^4)/a^4 - (62*z^4)/a^2 + 18*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - 
   (62*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 34485] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 5*z^2 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (9*z^2)/a^2 + 8*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (5*z^4)/a^4 - (17*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (8*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 34486] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 - (6*z^2)/a^6 + (19*z^2)/a^4 - (13*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - (15*z^4)/a^2 + 
   5*a^2*z^4 - 9*z^6 - z^6/a^6 + (10*z^6)/a^4 - (11*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34487] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   z^4 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 34488] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34489] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 7*a^2*z^2 - 2*a^4*z^2 - 7*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 34490] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 5*z^2 - 
   (5*z^2)/a^8 + (19*z^2)/a^6 - (15*z^2)/a^4 - (3*z^2)/a^2 + 8*z^4 - 
   (4*z^4)/a^8 + (22*z^4)/a^6 - (21*z^4)/a^4 - (12*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 - (13*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 34491] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 34492] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   a^4*z^2 - 4*z^4 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 34493] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - (2*z^2)/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 15*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 34494] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 12*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 + z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 34495] -> 
  3*a^8 - a^10 - a^14 + 4*a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 + 3*a^12*z^2 - 
   4*a^14*z^2 + 8*a^6*z^4 + 6*a^10*z^4 + 11*a^12*z^4 - 4*a^14*z^4 + 
   5*a^6*z^6 - 7*a^8*z^6 - 2*a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 34496] -> a^6 + 3*a^10 - 3*a^12 + 2*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34497] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 16*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 34498] -> 
  -5 - a^(-4) + 3/a^2 + 8*a^2 - 5*a^4 + a^6 - 19*z^2 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 34499] -> 
  2*a^6 - 3*a^8 + 7*a^10 - 6*a^12 + a^14 + 2*a^4*z^2 + 7*a^6*z^2 - 
   11*a^8*z^2 + 22*a^10*z^2 - 8*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 5*a^6*z^4 - 
   15*a^8*z^4 + 19*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   11*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34500] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34501] -> 
  a^4 - 4*a^6 + 10*a^8 - 6*a^10 + 9*a^4*z^2 - 26*a^6*z^2 + 45*a^8*z^2 - 
   17*a^10*z^2 + 18*a^4*z^4 - 56*a^6*z^4 + 68*a^8*z^4 - 17*a^10*z^4 + 
   17*a^4*z^6 - 58*a^6*z^6 + 48*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 34502] -> 5*a^8 - 4*a^10 + 3*a^2*z^2 - 
   3*a^4*z^2 - a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   7*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34503] -> 
  -a^4 + 4*a^6 - 2*a^10 + 4*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 + 6*a^8*z^2 - 
   5*a^10*z^2 + 8*a^2*z^4 - 19*a^4*z^4 + 10*a^6*z^4 + 13*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34504] -> a^2 - 2*a^4 + 7*a^8 - 5*a^10 + 6*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 
   18*a^4*z^4 - a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 
   7*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34505] -> 
  a^2 - 3*a^4 + 4*a^6 + 2*a^8 - 3*a^10 + 2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 + 
   7*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34506] -> 
  a^2 - 4*a^4 + 8*a^6 - 3*a^8 - a^10 + 2*z^2 - 8*a^4*z^2 + 16*a^6*z^2 - 
   2*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 34507] -> a^4 + 3*a^8 - 4*a^10 + a^12 + 
   3*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 + 4*a^6*z^4 + 
   a^8*z^4 - 7*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 34508] -> 
  a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   a^12*z^2 - a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 34509] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 5*z^2 + 10*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 - z^4 + 
   7*a^2*z^4 - 3*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 34510] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34511] -> 4*a^6 - 3*a^8 + a^2*z^2 - 5*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 + 4*a^2*z^4 - 11*a^4*z^4 + 
   14*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34512] -> 
  a^4 + 2*a^6 - 2*a^8 + 8*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + z^4 - 3*a^4*z^4 + 
   7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34513] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 - 2*z^4 + 3*a^2*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   6*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34514] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 34515] -> -1 - a^(-8) - 2/a^6 + 5/a^4 - 
   4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34516] -> -2 - a^(-8) + 4/a^2 - z^2 + z^2/a^8 - 
   z^2/a^6 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34517] -> -1 - 4/a^6 + 6/a^4 - 4*z^2 + (2*z^2)/a^8 - 
   (9*z^2)/a^6 + (12*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - 
   (12*z^4)/a^6 + (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34518] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34519] -> -1 - a^2 + 8*a^4 - 5*a^6 - 
   10*a^2*z^2 + 29*a^4*z^2 - 12*a^6*z^2 + 8*z^4 - 29*a^2*z^4 + 46*a^4*z^4 - 
   13*a^6*z^4 + 12*z^6 - 38*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 34520] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 
   2*z^2 + a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 34521] -> -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34522] -> 
  -a^(-4) + 2/a^2 + 5*z^2 - (2*z^2)/a^4 + a^2*z^2 - 3*a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34523] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 4*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34524] -> 
  -3/a^6 + 5/a^4 - a^(-2) + z^2 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34525] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 15*a^6*z^2 - 13*a^8*z^2 + 4*a^10*z^2 + 
   a^12*z^2 - 4*a^4*z^4 + 17*a^6*z^4 - 13*a^8*z^4 - 4*a^10*z^4 + 3*a^12*z^4 - 
   4*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 34526] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   5*a^4*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 34527] -> 1 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 
   a^8*z^2 + z^4 + a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34528] -> a^(-2) - a^2 + a^4 - 2*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 34529] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 11*a^4*z^4 + 10*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34530] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 3*a^6*z^2 - 7*z^4 + z^4/a^2 + 13*a^2*z^4 + 
   9*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34531] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^4 - z^4/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 3*a^2*z^6 - 3*a^4*z^6 + 
   3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 34532] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34533] -> -1 + 6*a^4 - 4*a^6 - 6*z^2 + 5*a^2*z^2 + 
   16*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 20*a^4*z^4 - 
   8*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34534] -> -3 + 7*a^2 - 2*a^4 - a^6 - 4*z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 14*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34535] -> 4 - 2/a^2 - a^4 + 6*z^2 - z^2/a^4 - 
   z^2/a^2 - a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34536] -> -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   4*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 34537] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 4*z^2 - z^2/a^6 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 5*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^4 - a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 34538] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34539] -> -a^(-10) + a^(-8) + a^(-2) + z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34540] -> -3/a^6 + 5/a^4 - a^(-2) + 6*z^2 - 
   (9*z^2)/a^6 + (27*z^2)/a^4 - (20*z^2)/a^2 + 15*z^4 - (10*z^4)/a^6 + 
   (44*z^4)/a^4 - (46*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 34541] -> 
  2 - a^(-8) + 4/a^4 - 4/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34542] -> -a^(-14) + 2/a^12 - 5/a^8 + 5/a^6 - 
   z^2/a^14 + (7*z^2)/a^12 - z^2/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (5*z^4)/a^10 - (14*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34543] -> 
  -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 10*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34544] -> 
  a^6 + a^8 + a^10 - 2*a^12 + 6*a^6*z^2 + a^8*z^2 + 9*a^10*z^2 - 4*a^12*z^2 - 
   a^14*z^2 + a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 12*a^10*z^4 + a^12*z^4 - 
   a^14*z^4 + a^4*z^6 + a^6*z^6 - 7*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 34545] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34546] -> a^6 + 3*a^8 - 3*a^10 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 34547] -> a^2 - 2*a^4 + a^6 + 5*a^8 - 
   4*a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 
   6*a^2*z^4 - 13*a^4*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34548] -> a^2 - 3*a^4 + 5*a^6 - 2*a^10 + z^2 + 
   a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34549] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 
   3*a^4*z^2 + 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34550] -> 4 - 2/a^2 - a^4 + 7*z^2 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34551] -> 2 - 5*a^4 + 6*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   3*a^2*z^4 - 12*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 34552] -> -1 - 2*a^2 + 10*a^4 - 6*a^6 + z^2 - 
   15*a^2*z^2 + 37*a^4*z^2 - 15*a^6*z^2 + 11*z^4 - 37*a^2*z^4 + 54*a^4*z^4 - 
   14*a^6*z^4 + 13*z^6 - 43*a^2*z^6 + 39*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 34553] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 
   7*z^2 + z^2/a^2 + 9*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + 
   (5*z^4)/a^2 + 4*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 34554] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 14*z^2 + (2*z^2)/a^4 - (12*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34555] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 34556] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - z^2 + 
   z^2/a^2 - a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34557] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34558] -> -1 + 2/a^2 - 2*a^4 + 2*a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 34559] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + z^4/a^4 + 
   z^4/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 34560] -> 2*a^2 - a^4 - z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   z^6/a^4 - z^6/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 34561] -> -2/a^6 + 3/a^4 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34562] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 4*a^4*z^2 + 
   5*a^6*z^2 - 10*a^8*z^2 + 6*a^10*z^2 - a^2*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 34563] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + z^2/a^4 - (9*z^2)/a^2 - 3*a^4*z^2 + 
   8*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34564] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 34565] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34566] -> -2 + 6*a^2 - 3*a^4 - 2*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34567] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 10*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - 
   (4*z^4)/a^2 - 14*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 34568] -> 2 + a^(-4) - a^(-2) - a^2 - 
   2*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - z^4/a^4 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34569] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   z^2/a^12 - (8*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34570] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 10*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (2*z^4)/a^6 + (12*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34571] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (9*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (11*z^4)/a^10 - (3*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34572] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (10*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34573] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 
   3*z^4 - z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34574] -> 
  -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 9*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (5*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (11*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34575] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^14 + z^2/a^12 + z^2/a^10 + 
   z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34576] -> 
  1 - 2/a^10 + 4/a^8 - 2/a^6 + 3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (6*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (10*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34577] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 6*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + (6*z^2)/a^4 + (11*z^2)/a^2 - 
   9*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + (9*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34578] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (17*z^2)/a^6 + (11*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (12*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34579] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^8 - 2/a^6 + 
   2/a^4 - z^2/a^14 - (3*z^2)/a^12 + (7*z^2)/a^10 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (6*z^4)/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (4*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34580] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 34581] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 - z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 34582] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34583] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   z^4/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 34584] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + 
   z^4/a^6 + z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 34585] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - 
   (19*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34586] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34587] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^10 - z^2/a^6 + (5*z^2)/a^4 + 
   z^4/a^12 - (4*z^4)/a^8 + (3*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 34588] -> -2/a^6 + 3/a^4 - z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34589] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + z^2/a^10 - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 - z^2/a^2 - z^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - z^6 - (2*z^6)/a^8 + (4*z^6)/a^4 + z^6/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 34590] -> 
  -2 + a^(-8) - a^(-6) + a^(-2) + 2*a^2 - 9*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^8 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + z^6/a^6 + 
   (11*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34591] -> -1 + a^(-8) - a^(-6) + a^(-2) + a^4 - 
   4*z^2 - (3*z^2)/a^6 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^6 + 
   (4*z^6)/a^4 + (5*z^6)/a^2, Knot[15, Alternating, 34592] -> 
  1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 9*a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 11*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 34593] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 - a^4*z^2 + 5*a^6*z^2 + 13*a^8*z^2 - 
   12*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 + 17*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 34594] -> 
  4*a^4 - 4*a^6 + a^8 - z^2 - a^2*z^2 + 13*a^4*z^2 - 13*a^6*z^2 + 4*a^8*z^2 - 
   2*z^4 + 4*a^2*z^4 + 10*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   6*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34595] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 + z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 
   z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 34596] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 5*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 34597] -> 
  1 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 34598] -> 
  1 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 34599] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34600] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 13*z^2 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 17*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 34601] -> 
  3*a^4 - 2*a^6 - z^2 + 2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34602] -> a^2 - 4*a^4 + 9*a^6 - 5*a^8 + 4*a^2*z^2 - 
   12*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 + z^4 + 4*a^2*z^4 - 
   15*a^4*z^4 + 14*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 10*a^4*z^6 + 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34603] -> -2/a^14 + 6/a^12 - 4/a^10 - 5/a^8 + 6/a^6 - 
   (3*z^2)/a^14 + (17*z^2)/a^12 - (14*z^2)/a^10 - (11*z^2)/a^8 + 
   (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (20*z^4)/a^10 - 
   (16*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 34604] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   2/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - 
   (7*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (5*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34605] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (8*z^4)/a^8 + 
   (13*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34606] -> 2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 - 
   z^2/a^10 - z^2/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34607] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 16*a^2*z^2 - 
   21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 
   26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34608] -> -4 + a^(-2) + 8*a^2 - 7*a^4 + 5*a^6 - 
   2*a^8 - 11*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 22*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34609] -> 
  -12 + 2/a^6 - 5/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 31*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (22*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 32*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (25*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 34610] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 14*a^2*z^2 - 18*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 22*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34611] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 34612] -> 
  -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 + 2*z^2 - z^2/a^10 + (10*z^2)/a^8 - 
   (8*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34613] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 34614] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34615] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 3*a^4*z^2 - 3*a^6*z^2 + 11*a^8*z^2 - 
   5*a^10*z^2 + 2*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34616] -> a^2 - a^4 + 2*a^6 - a^10 + a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34617] -> 
  5 - 3/a^2 + 2*a^2 - 4*a^4 + a^6 + 11*z^2 - (6*z^2)/a^2 + 8*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 + 13*z^4 - (6*z^4)/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 34618] -> 3 - a^(-4) + a^2 - 3*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34619] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   9*z^2 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34620] -> 
  3 + a^(-6) - 2/a^4 - a^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34621] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34622] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (5*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (13*z^4)/a^6 - (14*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34623] -> -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (13*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (14*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34624] -> 
  -a^6 + 9*a^8 - 9*a^10 + 2*a^12 - 2*a^4*z^2 - a^6*z^2 + 34*a^8*z^2 - 
   27*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 49*a^8*z^4 - 31*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 34625] -> -a^6 + 9*a^8 - 9*a^10 + 2*a^12 - 2*a^4*z^2 + 
   3*a^6*z^2 + 24*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 10*a^6*z^4 + 24*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 + 13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 34626] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 - 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 
   11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34627] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34628] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + 
   (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34629] -> 
  2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 34630] -> 
  -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - a^2*z^2 - a^4*z^2 + 11*a^6*z^2 + 
   7*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 14*a^6*z^4 + 
   9*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 34631] -> -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - 
   a^2*z^2 + 11*a^6*z^2 + 3*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 3*a^4*z^4 + 11*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 34632] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34633] -> 
  -a^(-8) + 2/a^4 - z^2/a^14 + z^2/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34634] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + 
   (17*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (21*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (14*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 34635] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34636] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (8*z^2)/a^8 + (15*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4/a^12 - (9*z^4)/a^8 + (17*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34637] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34638] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^14 - (4*z^2)/a^12 + (13*z^2)/a^10 - (13*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (2*z^4)/a^12 + (13*z^4)/a^10 - (16*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 + (2*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34639] -> a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - 
   z^2/a^14 - (3*z^2)/a^12 + (11*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (6*z^4)/a^10 - (6*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 34640] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 
   4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34641] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (16*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 34642] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 2*z^2 - z^2/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   2*z^4 - z^4/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 10*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34643] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - z^2/a^6 + (11*z^2)/a^2 + 13*a^2*z^2 - 2*a^4*z^2 - 22*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 12*z^6 + 
   (2*z^6)/a^4 + z^6/a^2 + a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 34644] -> 4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34645] -> a^(-8) - 4/a^6 + 4/a^4 - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 34646] -> 
  a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 4*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   10*a^8*z^2 - a^10*z^2 - a^12*z^2 + z^4 + 2*a^2*z^4 - 6*a^4*z^4 - 
   5*a^6*z^4 + 5*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 4*a^4*z^6 - 4*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 34647] -> -2/a^14 + 5/a^12 - 3/a^10 - 
   a^(-8) - a^(-6) + 3/a^4 - z^2/a^14 + (10*z^2)/a^12 - (7*z^2)/a^10 - 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - 
   (8*z^4)/a^10 - (9*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34648] -> 
  -a^(-14) + 2/a^12 - 2/a^8 + a^(-4) + a^(-2) + z^2 + (4*z^2)/a^12 - 
   (5*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 34649] -> 2 - 2/a^10 + 5/a^8 - 4/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34650] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + a^2 - 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 + z^4/a^4 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 34651] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 - 
   z^2 + z^2/a^2 + 3*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 4*z^4 + 
   z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34652] -> a^2 + a^4 - 3*a^8 + 3*a^10 - a^12 + z^2 + 
   a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 34653] -> 2*a^2 - a^4 + a^6 - 3*a^8 + 3*a^10 - a^12 + 
   z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 11*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - 13*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 34654] -> a^6 + 2*a^8 - 3*a^12 + a^14 + 
   a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 + 7*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 34655] -> 
  2 - a^2 - a^4 + a^6 + z^2 - 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34656] -> -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   3*z^2 + z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34657] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) + 
   2*z^2 - z^2/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34658] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 34659] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + a^4*z^2 + a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 34660] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 34661] -> -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + z^2/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34662] -> -6 - 3/a^4 + 7/a^2 + 5*a^2 - 
   2*a^4 - 17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34663] -> 5*a^6 - 5*a^8 + a^10 - a^4*z^2 + 
   15*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 2*a^4*z^4 + 14*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 7*a^6*z^6 - 
   4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 34664] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   10*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34665] -> 6*a^6 - 7*a^8 + 2*a^10 + 
   16*a^6*z^2 - 17*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   16*a^6*z^4 - 15*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 34666] -> 1 + 3*a^2 - 6*a^4 + 4*a^6 - 2*a^8 + a^10 + 
   2*z^2 - z^2/a^2 + 2*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 34667] -> 3 - 2*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + a^10 + 
   3*z^2 - z^2/a^2 - 4*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 - 8*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 34668] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   4*a^4*z^2 + 5*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 34669] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 + 2*a^4*z^2 + 8*a^6*z^2 - 9*a^8*z^2 + 
   a^10*z^2 + a^12*z^2 - a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 34670] -> 2*a^4 - 2*a^10 + a^12 + 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 34671] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - z^2 + 
   7*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 19*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 34672] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 + z^2 - 8*a^2*z^2 + 12*a^4*z^2 + 3*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - 10*a^2*z^4 + 8*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 34673] -> 3*a^4 - 2*a^6 - 2*z^2 + 8*a^4*z^2 - 
   a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34674] -> 
  -2 + a^(-2) + a^2 + 2*a^4 - a^8 - 5*z^2 + z^2/a^2 + 3*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 34675] -> -3 + a^(-2) + 4*a^2 - a^6 - 
   4*z^2 + 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 + 
   z^4/a^2 + a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 34676] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + 
   a^6 - 7*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - z^4/a^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 34677] -> 
  1 + a^4 - a^6 - a^8 + a^10 + z^2 - 2*a^2*z^2 + 3*a^6*z^2 - 6*a^8*z^2 + 
   2*a^10*z^2 - z^4 + 2*a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 5*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34678] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 - 
   z^2/a^4 + 9*a^2*z^2 - 5*a^4*z^2 + z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34679] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 7*z^2 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + (2*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 34680] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 11*a^4*z^4 + 16*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34681] -> 1 - 2/a^4 + 3/a^2 - a^2 + 5*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 34682] -> 
  2 - a^(-4) + a^(-2) - a^2 + 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^6*z^2 + 
   z^4/a^6 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 34683] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34684] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 
   7*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 34685] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 18*z^2 - z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 24*z^4 + z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 34686] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - 8*z^2 + z^2/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 34687] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 34688] -> 
  -3 - 4/a^4 + 8/a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (22*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 34689] -> 1 - a^(-8) + 3/a^6 - 5/a^4 + 
   4/a^2 - a^2 + 3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 + z^4/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 34690] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + z^2 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34691] -> -5 - 4/a^4 + 9/a^2 + a^2 - 15*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (13*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34692] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 - z^2/a^8 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 34693] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 10*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (13*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^6 - z^6/a^4 - 
   (11*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 34694] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 10*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + 
   z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 - 
   (4*z^6)/a^2 - 2*a^2*z^6, Knot[15, Alternating, 34695] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (23*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + 
   (37*z^4)/a^4 - 4*z^6 + z^6/a^8 - (14*z^6)/a^6 + (30*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 34696] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (2*z^2)/a^12 - (15*z^2)/a^10 + 
   (18*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (22*z^4)/a^10 + 
   (35*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (29*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34697] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 + 
   z^2/a^12 - (9*z^2)/a^10 + (13*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (10*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34698] -> -a^2 + 9*a^4 - 11*a^6 + 4*a^8 - 2*z^2 + 
   2*a^2*z^2 + 17*a^4*z^2 - 27*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   8*a^4*z^4 - 29*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34699] -> 
  5 - 8*a^2 + 4*a^4 + 5*z^2 - z^2/a^4 + (3*z^2)/a^2 - 19*a^2*z^2 + 
   8*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 20*a^2*z^4 + 8*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34700] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (3*z^2)/a^10 + (16*z^2)/a^8 - (17*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (24*z^4)/a^8 - (35*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (30*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 34701] -> -a^(-14) + 6/a^12 - 11/a^10 + 
   5/a^8 + 2/a^6 - (4*z^2)/a^14 + (20*z^2)/a^12 - (33*z^2)/a^10 + 
   (15*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + (28*z^4)/a^12 - 
   (44*z^4)/a^10 + (12*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (33*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 34702] -> -a^(-14) + 5/a^12 - 8/a^10 + 3/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (14*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (10*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34703] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + 11*a^4*z^2 - 
   5*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 34704] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34705] -> 
  -1 + 4*a^2 + a^4 - 6*a^6 + 3*a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   11*a^6*z^2 + 5*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34706] -> 
  -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - z^2/a^2 + 10*a^2*z^2 - 10*a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 14*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34707] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (16*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34708] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - (6*z^2)/a^10 + 
   z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34709] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 
   2*a^2 - 11*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34710] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 4*z^2 - 
   (5*z^2)/a^6 + (24*z^2)/a^4 - (25*z^2)/a^2 + 7*a^2*z^2 - 8*z^4 - 
   (4*z^4)/a^6 + (30*z^4)/a^4 - (41*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (16*z^6)/a^4 - (33*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 34711] -> -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 
   2*a^2 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - (11*z^2)/a^2 + 
   4*a^2*z^2 - 2*z^4 - z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (17*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 34712] -> 
  -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - (5*z^2)/a^10 + (23*z^2)/a^8 - 
   (23*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (30*z^4)/a^8 - 
   (40*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (33*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34713] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 - (15*z^4)/a^4 - 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34714] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - z^2/a^14 - (4*z^2)/a^12 + 
   (11*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (2*z^4)/a^12 + (12*z^4)/a^10 - (13*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 34715] -> 
  -4 - 2/a^4 + 5/a^2 + 4*a^2 - 3*a^4 + a^6 - 15*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34716] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 34717] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - 
   (12*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 34718] -> -1 - a^(-8) + a^(-6) + a^(-4) + 
   a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34719] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   9*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 8*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34720] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 15*z^2 + (2*z^2)/a^6 - z^2/a^4 - (11*z^2)/a^2 - 
   5*a^2*z^2 + 16*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 34721] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34722] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 8*z^2 + 
   z^2/a^4 - z^2/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   10*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34723] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 34724] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 19*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 13*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 19*z^4 + 
   z^4/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 12*z^6 + 
   z^6/a^4 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 34725] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - z^6/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 34726] -> -2/a^14 + 5/a^12 - 2/a^10 - 
   6/a^8 + 6/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - (9*z^2)/a^10 - 
   (15*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (14*z^4)/a^10 - (22*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 34727] -> -a^(-14) + 2/a^12 - 3/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34728] -> 
  -2/a^10 + 3/a^8 + 2/a^6 - 6/a^4 + 4/a^2 - (5*z^2)/a^10 + (11*z^2)/a^8 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - (8*z^4)/a^10 + (17*z^4)/a^8 + 
   (6*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34729] -> 2 - a^(-10) + 4/a^6 - 3/a^4 - a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34730] -> 2 - 2/a^10 + 4/a^8 - 2/a^6 + a^(-4) - 
   2/a^2 + 3*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34731] -> -a^(-10) + a^(-8) + a^(-6) - a^(-2) + a^2 - 
   z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 34732] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 23*a^2*z^2 - 20*a^4*z^2 + 6*a^6*z^2 - 
   20*z^4 - z^4/a^4 + (7*z^4)/a^2 + 30*a^2*z^4 - 22*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34733] -> 
  -5 + 2/a^6 - 3/a^4 + 3/a^2 + 5*a^2 - a^4 - 18*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 34734] -> 
  2 + a^(-8) - a^(-6) + a^(-4) - 2/a^2 - a^2 + a^4 + z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 34735] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34736] -> 
  2 - 2*a^2 + a^4 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 34737] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 
   2*a^8 - 2*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34738] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 34739] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - a^2*z^2 + a^4*z^2 - 3*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34740] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 34741] -> -1 - 2/a^4 + 4/a^2 - a^2 + 
   2*a^4 - a^6 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 34742] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   8*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 34743] -> 
  a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 - 
   a^2*z^4 - a^4*z^4 + 13*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 8*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 34744] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 - z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34745] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34746] -> 2*a^2 - 2*a^6 + a^8 + 2*a^2*z^2 - a^4*z^2 - 
   3*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34747] -> 1 + a^2 - 2*a^4 + a^6 + 2*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 34748] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   3*z^2 + (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - z^4/a^2 - 
   12*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 34749] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 - z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 34750] -> 
  3 - a^(-4) - a^4 + 9*z^2 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34751] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 34752] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34753] -> -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 + 5*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (18*z^4)/a^4 - 
   (20*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - (25*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 34754] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 34755] -> 
  2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*z^2 - z^2/a^2 + a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 4*z^4 + z^4/a^2 - 6*a^2*z^4 - 
   7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6/a^2 - 8*a^2*z^6 - 5*a^4*z^6 + 
   3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 34756] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 
   7*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   3*z^6 + z^6/a^4 - (7*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 34757] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 + 
   z^2/a^8 + z^2/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34758] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 9*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^6 + z^4/a^4 + (8*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34759] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 - z^6/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34760] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 + (3*z^2)/a^10 - (15*z^2)/a^8 + 
   (14*z^2)/a^6 + (3*z^4)/a^12 - (4*z^4)/a^10 - (13*z^4)/a^8 + (17*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 - (2*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 34761] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^12 + z^2/a^10 - (6*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34762] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34763] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 5*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34764] -> -1 + 4*a^2 - 2*a^4 - z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^6 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 34765] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 2*z^2 + z^2/a^10 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 34766] -> 
  -3 - a^(-6) + a^(-4) + 2/a^2 + 3*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 18*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34767] -> -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + 
   a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (10*z^2)/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   (13*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 34768] -> 2 + a^(-2) - 5*a^2 + 3*a^4 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 15*a^2*z^2 + 7*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 18*a^2*z^4 + 8*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 34769] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 5*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + 
   (22*z^2)/a^4 + z^2/a^2 - 7*z^4 + (3*z^4)/a^8 - (25*z^4)/a^6 + 
   (39*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (31*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 34770] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 5*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (22*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (22*z^4)/a^6 + 
   (32*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (26*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 34771] -> 
  2 + a^(-4) - a^(-2) - a^2 - 2*a^4 + 2*a^6 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 34772] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (3*z^2)/a^10 + (16*z^2)/a^8 - 
   (21*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (22*z^4)/a^8 - 
   (34*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (27*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34773] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 + 10*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 34774] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 22*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34775] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34776] -> 
  -a^(-10) + 6/a^8 - 9/a^6 + 3/a^4 + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (2*z^2)/a^8 - (15*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (12*z^4)/a^8 - (7*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 34777] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 - z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34778] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (18*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34779] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (15*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34780] -> 
  -2/a^8 + 5/a^6 - 3/a^4 + a^2 - 7*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (18*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (25*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34781] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34782] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34783] -> 
  -1 + 4*a^2 - 2*a^4 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34784] -> 1 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - 
   (8*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 34785] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 20*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 24*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 34786] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34787] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 17*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (11*z^2)/a^2 - 6*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 34788] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 5*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - 
   (3*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 34789] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34790] -> 
  -a^(-10) + 2/a^8 - a^(-4) + a^2 - 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (5*z^2)/a^6 - z^2/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   z^4/a^4 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 34791] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 34792] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 34793] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - z^2 + 5*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 - 2*z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 4*a^2*z^6 + 4*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 34794] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 34795] -> 1 - a^2 + a^4 + 3*a^6 - 5*a^8 + 2*a^10 + 
   z^2 - 3*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - z^4 - 
   2*a^2*z^4 + 5*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 
   5*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 34796] -> -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 
   20*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 
   4*a^4*z^2 - 24*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 34797] -> 
  3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 4*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 + 
   11*a^12*z^2 - 7*a^14*z^2 + 8*a^6*z^4 + 3*a^8*z^4 - 2*a^10*z^4 + 
   19*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 6*a^8*z^6 - 7*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 34798] -> 
  4*a^8 - 4*a^10 + 3*a^12 - 2*a^14 + 2*a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 
   a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 
   3*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34799] -> a^6 + 2*a^10 - a^12 - a^14 + 2*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + 7*a^10*z^2 + 2*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 
   2*a^6*z^4 - 2*a^8*z^4 + 6*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 34800] -> a^6 + a^8 - a^14 + a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - a^6*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 34801] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34802] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   2*z^2 - z^2/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 - 
   (7*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (15*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34803] -> 
  a^6 + 2*a^10 - a^12 - a^14 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 6*a^6*z^4 - 8*a^8*z^4 + 
   12*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34804] -> 2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + 
   2*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 16*a^10*z^2 - 3*a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 11*a^8*z^4 + 14*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34805] -> 1 - a^2 + a^4 + 3*a^6 - 5*a^8 + 2*a^10 - 
   z^2 + 3*a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 9*a^2*z^4 - 14*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 34806] -> 
  1 - a^2 + 3*a^4 - 2*a^6 - a^8 + a^10 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34807] -> 
  -5 + a^(-6) - 2/a^4 + 3/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 34808] -> 
  2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 
   19*a^10*z^2 - 4*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 5*a^6*z^4 - 
   14*a^8*z^4 + 16*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   11*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34809] -> 2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 10*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - a^6*z^4 - 4*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 34810] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34811] -> 
  a^4 - a^6 + a^8 + 3*a^10 - 3*a^12 + a^2*z^2 + 3*a^4*z^2 + 10*a^10*z^2 - 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 4*a^8*z^4 + 
   6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 34812] -> 2*a^6 + a^8 - 2*a^10 + 4*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 + 
   15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 34813] -> a^(-4) - a^(-2) + 2*a^2 - 
   2*a^4 + a^6 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 34814] -> 
  a^2 - 3*a^4 + 6*a^6 - 2*a^8 - a^10 + 2*z^2 + a^2*z^2 - 8*a^4*z^2 + 
   12*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34815] -> 
  -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 6*z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 34816] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 + z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   5*z^6 + z^6/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34817] -> 
  2 - a^(-4) + a^(-2) - a^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 34818] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   (6*z^2)/a^8 - (9*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 34819] -> 
  2 + a^(-8) - 2/a^6 + 4/a^4 - 5/a^2 + a^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (12*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^8 + (7*z^4)/a^4 - 
   (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 34820] -> 
  6 + a^(-4) - 3/a^2 - 4*a^2 + a^6 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 34821] -> 
  4 + a^(-4) - 2/a^2 - 2*a^2 - 2*a^4 + 2*a^6 + 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 34822] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 10*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 7*z^4 + z^4/a^6 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34823] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 34824] -> 2 + a^(-4) - 2/a^2 + z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 34825] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34826] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 34827] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 34828] -> a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   z^4/a^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 34829] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 - z^4/a^6 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34830] -> 3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34831] -> -2/a^14 + 5/a^12 - 5/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (10*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (8*z^4)/a^10 - 
   (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34832] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) + z^2 + (4*z^2)/a^12 - 
   (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 - 
   (6*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 34833] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   z^2 + z^2/a^10 + (4*z^2)/a^6 - (4*z^2)/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 34834] -> 
  -3 - 2/a^6 + 4/a^4 + 2*a^2 - 8*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 34835] -> 
  5*a^8 - 6*a^10 + 4*a^12 - 2*a^14 + 2*a^4*z^2 + 14*a^8*z^2 - 9*a^10*z^2 + 
   8*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 10*a^8*z^4 - 
   5*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 34836] -> 
  a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 
   5*a^8*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^8*z^4 + a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 34837] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 
   7*z^2 + z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 34838] -> 1 - z^2/a^6 + z^2/a^4 + a^2*z^2 - a^4*z^2 + 
   (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 34839] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 2/a^4 + a^(-2) + z^2 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (3*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 34840] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34841] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34842] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 3*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 34843] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 
   a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 34844] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 
   4/a^4 + 2/a^2 + z^2 - (4*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   a^4*z^2 + 2*z^4 + (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 34845] -> 
  -2 + a^(-8) - a^(-6) + a^(-4) + a^2 + a^4 - 4*z^2 - (3*z^2)/a^6 - a^6*z^2 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[15, Alternating, 34846] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 2*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 34847] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 34848] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 
   2*a^10 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 
   6*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 34849] -> 3*a^6 - a^8 - a^10 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 34850] -> 
  a^4 + a^6 - a^10 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 34851] -> 1 - 3*a^4 + 7*a^6 - 5*a^8 + 
   a^10 + z^2 + 2*a^2*z^2 - 12*a^4*z^2 + 19*a^6*z^2 - 10*a^8*z^2 + 
   2*a^10*z^2 - z^4 + 6*a^2*z^4 - 20*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 34852] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34853] -> -1 + a^(-2) + 2*a^4 - a^6 - 7*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 + a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34854] -> 2 - a^(-2) + a^4 - a^6 + 3*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 34855] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 - z^2/a^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   3*z^4 + 11*a^2*z^4 - 9*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34856] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 
   z^2 + 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34857] -> 2/a^2 - 2*a^2 + a^8 + 2*z^2 - 
   8*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34858] -> 1 + a^(-4) - 2*a^2 + a^8 - z^2 - z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 34859] -> -a^(-4) + 2/a^2 + 4*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 34860] -> 
  1 + 2*z^2 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 34861] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 4*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + a^2*z^4 + a^4*z^4 - 7*a^6*z^4 - 4*a^8*z^4 + 
   a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 34862] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 + 
   a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 34863] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   13*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34864] -> -1 - a^(-8) + a^(-6) - a^(-4) + 
   3/a^2 - z^2/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34865] -> -1 - a^(-6) + 3/a^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 34866] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34867] -> a^4 + a^6 - a^10 + 6*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 34868] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   a^12*z^2 - z^4 - 2*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 34869] -> 
  a^(-2) - a^2 + a^4 - 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 34870] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34871] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (20*z^4)/a^8 - (30*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (26*z^6)/a^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 34872] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 + 
   14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 34873] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34874] -> 
  -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 9*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 34875] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 34876] -> 
  -3 + 8*a^2 - 4*a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34877] -> 2*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34878] -> 2 - a^(-2) + a^4 - a^6 - z^2/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 
   6*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 34879] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34880] -> 
  3 - a^(-2) - a^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34881] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34882] -> -1 - 3/a^6 + 4/a^4 + a^(-2) + 4*z^2 - 
   (9*z^2)/a^6 + (25*z^2)/a^4 - (15*z^2)/a^2 + 16*z^4 - (12*z^4)/a^6 + 
   (49*z^4)/a^4 - (48*z^4)/a^2 + 17*z^6 - (6*z^6)/a^6 + (41*z^6)/a^4 - 
   (56*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (32*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 34883] -> 
  3 - 3/a^6 + 6/a^4 - 4/a^2 - a^2 + 4*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (11*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - (13*z^4)/a^2 + 
   4*a^2*z^4 - 8*z^6 - z^6/a^6 + (10*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34884] -> 1 - a^(-8) - a^(-6) + 5/a^4 - 3/a^2 + 
   5*z^2 - (2*z^2)/a^8 + z^2/a^6 + (14*z^2)/a^4 - (14*z^2)/a^2 + 8*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 + (9*z^4)/a^4 - (21*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 34885] -> 1 - a^(-8) + 3/a^4 - 2/a^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34886] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 34887] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4 - z^4/a^8 + (3*z^4)/a^6 + a^2*z^4 - z^6 + (2*z^6)/a^6 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 34888] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34889] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - z^4/a^10 - (6*z^4)/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34890] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 9*z^4 - (7*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 34891] -> 
  -4 - 2/a^6 + a^(-4) + 5/a^2 + a^2 - 13*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + 
   (10*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34892] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 34893] -> 
  3*a^8 + a^10 - 4*a^12 + a^14 + 2*a^6*z^2 + 8*a^8*z^2 + 7*a^10*z^2 - 
   3*a^12*z^2 - 3*a^14*z^2 + 7*a^6*z^4 + 3*a^8*z^4 + 9*a^10*z^4 + 
   9*a^12*z^4 - 4*a^14*z^4 + 5*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 9*a^12*z^6 - 
   a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - 
   a^10*z^10, Knot[15, Alternating, 34894] -> a^6 + 2*a^8 - a^10 - a^12 + 
   5*a^6*z^2 + 5*a^8*z^2 + 2*a^10*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 + 
   2*a^8*z^4 + 5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 34895] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   12*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 34896] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - 9*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34897] -> 
  2 + a^(-4) - 2/a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34898] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34899] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34900] -> 
  -a^4 + 6*a^6 - 4*a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 
   2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 34901] -> a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 
   4*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 
   4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34902] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + z^2 + a^2*z^2 - 3*a^4*z^2 + 
   5*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34903] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34904] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 
   14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 34905] -> -5 + 2/a^6 - 4/a^4 + 5/a^2 + 3*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34906] -> 3 - a^(-4) - a^4 + z^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34907] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 34908] -> -1 - 3*a^2 + 12*a^4 - 7*a^6 - 15*a^2*z^2 + 
   41*a^4*z^2 - 17*a^6*z^2 + 12*z^4 - 41*a^2*z^4 + 63*a^4*z^4 - 17*a^6*z^4 + 
   16*z^6 - 51*a^2*z^6 + 47*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 31*a^2*z^8 + 
   16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 34909] -> -3 + 4*a^2 + 4*a^4 - 4*a^6 - 4*z^2 + 
   4*a^2*z^2 + 16*a^4*z^2 - 8*a^6*z^2 - 5*z^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   21*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 8*a^2*z^6 + 11*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34910] -> -5 + 11*a^2 - 4*a^4 - a^6 - 14*z^2 + 
   (2*z^2)/a^2 + 24*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 - 18*z^4 + (7*z^4)/a^2 + 
   17*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 + 9*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34911] -> -3*a^2 + 7*a^4 - a^6 - 2*a^8 + 3*z^2 - 
   13*a^2*z^2 + 20*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 7*z^4 - 19*a^2*z^4 + 
   15*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 34912] -> -1 + 5*a^4 - 2*a^6 - a^8 - 2*z^2 + z^2/a^2 - 
   a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34913] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 9*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 34914] -> 9 + a^(-4) - 6/a^2 - 2*a^2 - a^4 + 18*z^2 + 
   (3*z^2)/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 10*z^4 + 
   (6*z^4)/a^4 - (15*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 34915] -> 
  1 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 34916] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 
   2*a^6 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 - z^4/a^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 34917] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + z^4/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34918] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 
   8*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34919] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34920] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 + 16*a^6*z^2 - 17*a^8*z^2 + 5*a^10*z^2 + 
   a^12*z^2 - 4*a^4*z^4 + 17*a^6*z^4 - 14*a^8*z^4 - 4*a^10*z^4 + 3*a^12*z^4 - 
   4*a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 34921] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   6*a^4*z^2 - a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 34922] -> 1 + 4/a^4 - 6/a^2 + 2*a^2 - 
   5*z^2 - z^2/a^6 + (9*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 34923] -> 1 - 2*z^2 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   3*a^8*z^2 + a^2*z^4 + a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 34924] -> -1 + a^(-2) + a^2 - 4*z^2 + 3*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - z^4 + z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34925] -> 
  3 - 4*a^2 + 2*a^4 + 9*z^2 - (2*z^2)/a^2 - 12*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + 10*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 
   7*z^6 - (3*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 34926] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 17*z^2 + (2*z^2)/a^4 - (13*z^2)/a^2 - 
   4*a^4*z^2 + 11*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34927] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34928] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 9*z^2 + 
   (3*z^2)/a^4 - (11*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 34929] -> 3/a^4 - 4/a^2 + 2*a^2 - 4*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (5*z^4)/a^6 + (13*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34930] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34931] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 2*z^2 - (4*z^2)/a^6 + (16*z^2)/a^4 - 
   (16*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + (18*z^4)/a^4 - 
   (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 34932] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   6*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 34933] -> 
  3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + (3*z^2)/a^16 - (19*z^2)/a^14 + 
   (7*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (14*z^4)/a^14 + 
   (22*z^4)/a^12 + (23*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (17*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 34934] -> 
  2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 - (8*z^2)/a^14 + (2*z^2)/a^12 + 
   (9*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (8*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 34935] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (11*z^2)/a^14 + (4*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + (11*z^4)/a^12 + (15*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 34936] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - 6*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - 
   (7*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 34937] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (6*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (11*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34938] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   4*z^2 - z^2/a^10 + (5*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (4*z^4)/a^8 - (12*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34939] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (10*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34940] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34941] -> 2 - 2/a^6 + 6/a^4 - 5/a^2 - a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (10*z^2)/a^4 - (14*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 34942] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - 
   z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (7*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34943] -> 2 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 - a^2 + 
   a^4 + z^2 + (3*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 - z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 34944] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 6*z^2 - z^2/a^8 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 34945] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) + 
   (4*z^2)/a^12 - (12*z^2)/a^10 + (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (16*z^4)/a^10 + (6*z^4)/a^8 + (18*z^4)/a^6 - (7*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (8*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34946] -> a^(-12) - 2/a^10 - a^(-8) + 3/a^6 - a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + z^4/a^12 - 
   (5*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34947] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 34948] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (3*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34949] -> 2 - 2*a^2 + a^4 + 7*z^2 - z^2/a^4 - 
   11*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 
   6*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34950] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - z^2/a^4 - 
   9*a^2*z^2 + a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   9*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + (2*z^6)/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 34951] -> 
  3 - a^(-2) - a^2 + 5*z^2 - z^2/a^4 + z^2/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 34952] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 - 
   (11*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 34953] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 34954] -> 7 - 3/a^2 - 3*a^2 + 16*z^2 - z^2/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 34955] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - 5*z^6 - z^6/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 34956] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 5*z^2 + 
   8*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + z^4/a^2 + 9*a^2*z^4 + 
   11*a^4*z^4 - 5*a^6*z^4 - 5*z^6 + z^6/a^2 + 6*a^2*z^6 + 9*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 34957] -> -1 + a^(-6) - 2/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 34958] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 34959] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 
   a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   5*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 34960] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34961] -> -2/a^10 + 5/a^8 - 3/a^6 - 2/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 34962] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 34963] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34964] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 + (3*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - z^4/a^8 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 34965] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^4*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 2*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 
   5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 34966] -> 
  a^2 + a^8 - a^10 + 2*a^4*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + z^4 - a^2*z^4 + 
   a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34967] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 - z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 34968] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   z^2 + z^2/a^10 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 34969] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34970] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 34971] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (12*z^2)/a^14 + 
   (4*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (6*z^4)/a^14 + (13*z^4)/a^12 + (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 34972] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 + (2*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 34973] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34974] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 + 
   z^4/a^6 - (17*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34975] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (7*z^4)/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (7*z^6)/a^10 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 34976] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (13*z^2)/a^14 + (9*z^2)/a^12 + (7*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (15*z^4)/a^12 + 
   (14*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 34977] -> 
  2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 2/a^8 + (2*z^2)/a^16 - 
   (14*z^2)/a^14 + (8*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (7*z^4)/a^14 + (14*z^4)/a^12 + (14*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 34978] -> -a^(-6) + a^(-4) + a^(-2) + 
   2*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34979] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   2*z^2 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^6 - z^4/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 34980] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34981] -> -5 - a^(-4) + 5/a^2 + 2*a^2 - a^4 + a^6 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 34982] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34983] -> 
  4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + (4*z^2)/a^16 - (29*z^2)/a^14 + 
   (22*z^2)/a^12 + (14*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (22*z^4)/a^14 + 
   (40*z^4)/a^12 + (24*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (27*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 34984] -> 
  3/a^16 - 8/a^14 + 4/a^12 + 2/a^8 + z^2/a^16 - (16*z^2)/a^14 + 
   (13*z^2)/a^12 + (7*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (6*z^4)/a^14 + (17*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 34985] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 2*z^2 + 
   16*a^4*z^2 - 17*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 12*a^4*z^4 - 
   19*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 - 12*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 34986] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 34987] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 34988] -> 6 - 3/a^2 - a^2 - a^4 + 17*z^2 - z^2/a^4 - 
   (7*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 20*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 34989] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   z^2/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 34990] -> 
  1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34991] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (10*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (13*z^4)/a^10 + 
   (16*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (11*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 34992] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (7*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (12*z^4)/a^8 - (14*z^4)/a^6 - (15*z^4)/a^4 + z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 34993] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^4 - (8*z^2)/a^2 + 
   a^2*z^2 - z^4/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 34994] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 34995] -> 
  -a^(-4) + 2/a^2 - z^2 - z^2/a^6 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   4*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 
   5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 34996] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   6*z^2 + (5*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 34997] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 34998] -> 1 + a^(-6) - 2/a^2 + 2*a^4 - a^6 + z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 34999] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 + z^2 + 
   3*a^2*z^2 - 16*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 4*a^2*z^4 - 
   15*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 35000] -> 
  3 - 3*a^2 + a^6 + 2*z^2 - 7*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35001] -> -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 
   3*z^2 + z^2/a^4 + 5*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 35002] -> 
  a^(-2) + a^2 - 4*a^4 + 4*a^6 - a^8 - 2*z^2 + z^2/a^2 - a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35003] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 + z^2/a^2 + a^4*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 35004] -> 
  -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 8*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35005] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 35006] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35007] -> 
  a^(-2) - a^2 + a^4 - 6*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 35008] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35009] -> 6*a^6 - 6*a^8 + a^12 + 14*a^6*z^2 - 
   10*a^8*z^2 - 5*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 - 
   5*a^8*z^4 - 12*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 
   3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 35010] -> 
  2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 + 4*a^4*z^2 + 4*a^6*z^2 - 8*a^8*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 35011] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + 13*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 35012] -> 
  3*a^4 - 2*a^6 + a^8 - 2*a^10 + a^12 + 6*a^4*z^2 - 3*a^6*z^2 - 3*a^10*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 35013] -> a^2 + a^4 - 2*a^8 + a^10 + 
   2*a^2*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + a^12*z^2 - z^4 - a^4*z^4 + 
   2*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 35014] -> -2 + a^(-4) + 2*a^2 - 8*z^2 + 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35015] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35016] -> a^2 + a^4 - a^6 - 2*z^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 + 5*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35017] -> 
  -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 35018] -> -2 + a^(-4) + 2*a^2 - 6*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35019] -> 
  2 - a^2 - a^8 + a^10 + z^2 - 3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 4*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 35020] -> -2 + a^(-4) + 2*a^2 - 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35021] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35022] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 35023] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (24*z^2)/a^14 + (17*z^2)/a^12 + (16*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (18*z^4)/a^14 + (32*z^4)/a^12 + (27*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 35024] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) - 
   (10*z^2)/a^14 + (4*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (10*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 35025] -> -4 - a^(-6) - a^(-4) + 6/a^2 + 
   a^2 - 12*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - (4*z^4)/a^6 + (6*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35026] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 + 3*z^4 + 2*a^2*z^4 - 
   14*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 35027] -> 
  a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35028] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - 
   z^2/a^6 - z^2/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35029] -> 
  3 - a^(-2) - a^2 - 2*a^4 + 4*a^6 - 2*a^8 + 5*z^2 - z^2/a^2 - 5*a^2*z^2 - 
   a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35030] -> 
  1 - a^2 + a^4 + a^6 - a^8 - z^2 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 35031] -> 5 - 3/a^2 + 2*a^2 - 4*a^4 + a^6 + 7*z^2 - 
   (5*z^2)/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - (6*z^4)/a^2 + 
   17*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 35032] -> -2 - 3/a^4 + 6/a^2 - 4*z^2 + 
   z^2/a^8 - (7*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - (2*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 35033] -> 3 - a^(-4) + a^2 - 3*a^4 + a^6 + 
   9*z^2 - z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   11*z^4 - (2*z^4)/a^4 + 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35034] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (5*z^2)/a^16 - (27*z^2)/a^14 + (16*z^2)/a^12 + (19*z^2)/a^10 + z^2/a^8 - 
   (23*z^4)/a^14 + (32*z^4)/a^12 + (31*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - 
   (4*z^6)/a^14 + (24*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 35035] -> 
  4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + (4*z^2)/a^16 - (30*z^2)/a^14 + 
   (24*z^2)/a^12 + (15*z^2)/a^10 + z^2/a^8 - z^4/a^16 - (22*z^4)/a^14 + 
   (39*z^4)/a^12 + (29*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (26*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 35036] -> 
  -2 + a^(-4) + 2*a^2 - 9*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35037] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35038] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35039] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 5*z^2 + z^2/a^6 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 + (4*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 35040] -> 
  2 + a^(-6) - 2/a^2 - a^2 + a^4 - z^2 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 35041] -> 
  a^2 + a^4 - a^6 - 2*a^8 + 4*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - 8*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 35042] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + 
   z^2/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35043] -> -3 + a^(-6) - a^(-2) + 6*a^2 - 2*a^4 - 
   12*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   17*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35044] -> 
  2 - a^(-10) + a^(-8) + 2/a^4 - 3/a^2 + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35045] -> 2 + a^(-6) - 2/a^2 - 2*a^2 + 3*a^4 - a^6 + 
   z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35046] -> 
  -1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + a^(-2) + a^2 - 2*z^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35047] -> 
  1 - a^(-4) + a^(-2) - a^2 + 3*a^4 - 2*a^6 - z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 35048] -> 
  -2 - 2/a^4 + 4/a^2 + a^2 + a^4 - a^6 - 2*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 35049] -> 1 + 3*a^2 - 7*a^4 + 5*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 35050] -> 3 - 3*a^2 + a^6 + 3*z^2 - 
   z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 35051] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - z^2 + a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35052] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^6 - z^4/a^4 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35053] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   11*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 35054] -> 
  1 + z^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 35055] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 + 12*a^6*z^2 - 
   3*a^8*z^2 - 10*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 
   14*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 35056] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 + 3*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 
   a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - 8*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 35057] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + 4*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 - 
   2*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 35058] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + 
   a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 35059] -> 
  5*a^2 - 6*a^4 + 2*a^6 - a^8 + a^10 - z^2 + 8*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 18*a^4*z^4 + 
   16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 35060] -> 2 - 2*a^4 + a^6 - a^8 + a^10 + z^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35061] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 - z^2/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35062] -> -3/a^4 + 5/a^2 - a^2 + 5*z^2 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - z^4/a^4 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35063] -> 
  2*a^4 - a^8 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35064] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 3*z^2 - (3*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - z^4 + (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 35065] -> 4 - a^(-4) - 2*a^2 + 6*z^2 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 + 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 35066] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - (26*z^4)/a^6 - (11*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (27*z^6)/a^6 - (10*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 35067] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (3*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35068] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 - 9*z^2 + 
   z^2/a^8 + z^2/a^6 - (16*z^2)/a^4 + (25*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - (7*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35069] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + z^2/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35070] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35071] -> 
  3/a^10 - 8/a^8 + 5/a^6 + a^(-4) + z^2/a^12 + (4*z^2)/a^10 - (18*z^2)/a^8 + 
   (15*z^2)/a^6 + (3*z^4)/a^12 - (4*z^4)/a^10 - (14*z^4)/a^8 + (17*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 - (2*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 35072] -> 
  a^(-10) - a^(-8) - 3/a^6 + 4/a^4 + z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 35073] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35074] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35075] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 15*z^2 + 
   (10*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - z^4/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 + 
   7*a^2*z^4 - 13*z^6 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35076] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 + z^2/a^6 - (4*z^2)/a^4 + (12*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 
   24*z^4 + z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 35077] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - 
   (10*z^4)/a^6 - (16*z^4)/a^4 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35078] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 35079] -> 1 + z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 35080] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 5*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35081] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (19*z^4)/a^8 + (16*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (11*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 35082] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^12 + (3*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35083] -> -1 - 2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 + a^2 - 
   6*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (12*z^4)/a^6 - (24*z^4)/a^4 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35084] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + a^2 - 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + 
   2*a^2*z^2 - 5*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + z^6/a^4 + (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35085] -> 2*a^2 - 3*a^4 + 7*a^6 - 8*a^8 + 3*a^10 + 
   a^2*z^2 - 4*a^4*z^2 + 17*a^6*z^2 - 21*a^8*z^2 + 7*a^10*z^2 - 6*a^2*z^4 + 
   5*a^4*z^4 + 17*a^6*z^4 - 24*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   11*a^4*z^6 + 13*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   6*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 35086] -> 2*a^2 - a^6 - a^8 + a^10 - z^2 + a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   8*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 35087] -> 1 - a^2 + 2*a^4 + a^6 - 4*a^8 + 2*a^10 + 
   z^2 - 4*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   2*a^2*z^4 + 8*a^4*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   7*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 35088] -> 1 + a^4 - a^6 - a^8 + a^10 - z^2 + a^2*z^2 + 
   2*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 35089] -> 2/a^4 - 2/a^2 + a^4 - z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35090] -> 3*a^8 - a^10 - a^14 + 2*a^6*z^2 + 
   10*a^8*z^2 + 7*a^12*z^2 - 6*a^14*z^2 + 7*a^6*z^4 + 6*a^8*z^4 + 
   17*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 5*a^8*z^6 - 6*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 35091] -> 
  a^6 + a^8 - a^14 + 6*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 + 3*a^12*z^2 - 
   3*a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 + 4*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 35092] -> 
  4*a^8 - 3*a^10 + a^12 - a^14 + a^4*z^2 + 2*a^6*z^2 + 9*a^8*z^2 + 
   3*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 + 4*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 35093] -> a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 
   2*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 + a^10*z^2 + a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + 2*a^4*z^4 + a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 35094] -> 
  2*a^6 - 3*a^8 + 7*a^10 - 6*a^12 + a^14 + 2*a^4*z^2 + 5*a^6*z^2 - 
   7*a^8*z^2 + 20*a^10*z^2 - 8*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 
   11*a^8*z^4 + 18*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 35095] -> a^4 - a^6 + 2*a^8 + a^10 - 2*a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 35096] -> 
  1 + a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 2*a^10 + z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 
   12*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 10*a^4*z^4 + 17*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 35097] -> 2 - 2*a^2 + 2*a^4 - a^6 - a^8 + a^10 + z^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35098] -> 
  3*a^6 - a^8 - a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 + 6*a^8*z^2 - 
   4*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35099] -> -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (5*z^4)/a^2 + 
   6*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 35100] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   4*z^2 + (2*z^2)/a^2 + a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35101] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35102] -> 
  4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 3*a^2*z^6 - 3*a^4*z^6 + 
   3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 35103] -> 
  4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 3*z^2 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 35104] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 35105] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 
   2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35106] -> 1 + a^4 - 2*a^6 + a^8 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 8*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 35107] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35108] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 
   16*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 35109] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 
   8*z^2 - z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   9*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35110] -> -2/a^14 + 5/a^12 - 4/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) - z^2/a^14 + (10*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (8*z^4)/a^10 - 
   (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 35111] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35112] -> -a^(-10) + a^(-8) + a^(-2) + z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35113] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35114] -> 5*a^8 - 5*a^10 + 2*a^12 - a^14 + a^4*z^2 + 
   a^6*z^2 + 12*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 
   2*a^6*z^4 + 6*a^8*z^4 + 3*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 35115] -> a^6 + 4*a^10 - 5*a^12 + a^14 + a^4*z^2 + 
   4*a^6*z^2 + 14*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 
   5*a^8*z^4 + 15*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 8*a^8*z^6 + 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 35116] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 2*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35117] -> 1 + a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 35118] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35119] -> -5 + 2/a^6 - 3/a^4 + 3/a^2 + 5*a^2 - a^4 - 
   17*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (18*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35120] -> -3 + 2/a^2 + 3*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 
   9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35121] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 + 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 + 
   6*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35122] -> -a^2 + 3*a^4 - a^10 + z^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35123] -> a^2 - 4*a^4 + 9*a^6 - 5*a^8 + z^2 + 
   2*a^2*z^2 - 11*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 + 2*z^4 + 
   a^2*z^4 - 15*a^4*z^4 + 16*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35124] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   z^4/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35125] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35126] -> -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35127] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 
   5*z^2 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35128] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 16*a^8*z^2 + 7*a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   12*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 
   4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 35129] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 3*z^2 - 
   z^2/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35130] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - z^2 + z^2/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35131] -> -6 - 4/a^4 + 9/a^2 + 3*a^2 - a^4 - 17*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (21*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35132] -> 
  -4 + 9*a^2 - 3*a^4 - a^6 - 11*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 3*a^6*z^2 - 
   14*z^4 + (5*z^4)/a^2 + 13*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + 
   (4*z^6)/a^2 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35133] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35134] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 35135] -> a^(-4) - a^4 + a^8 - z^2 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + z^4/a^2 + 4*a^4*z^4 - 
   3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 35136] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + a^2*z^2 + 
   a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 35137] -> 4*a^2 - 4*a^4 + a^8 + 5*a^2*z^2 - 
   5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 2*z^4 + a^2*z^4 - 
   7*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 35138] -> 
  2 - a^2 - a^6 + a^8 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 
   a^10*z^2 - z^4 - z^4/a^2 - a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 35139] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 35140] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35141] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35142] -> -a^(-4) + 2/a^2 - 2*z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35143] -> 
  a^4 + 2*a^6 - 2*a^8 + 4*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 35144] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 3*a^4*z^2 + 8*a^6*z^2 - 12*a^8*z^2 + 
   6*a^10*z^2 - a^2*z^4 + 9*a^6*z^4 - 13*a^8*z^4 + a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 35145] -> 1 + 3/a^4 - 4/a^2 + a^4 + z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35146] -> 1 - a^2 + 2*a^4 - a^6 - z^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35147] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 + a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 35148] -> 
  -2 + a^(-6) - 2/a^4 + 2/a^2 + 3*a^2 - a^4 - 4*z^2 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 35149] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 14*a^4*z^4 + 12*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 35150] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - 
   6*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35151] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + (12*z^4)/a^4 + (5*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35152] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   (6*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 35153] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35154] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 - 
   (8*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35155] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - z^4/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35156] -> 
  1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35157] -> 2*a^2 - a^4 - 9*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35158] -> 
  1 + 2*z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35159] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 - 2*a^2*z^2 + 
   2*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 35160] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35161] -> 
  -1 - 4/a^6 + 8/a^4 - 3/a^2 + a^2 - 5*z^2 - z^2/a^8 - (4*z^2)/a^6 + 
   (17*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + 
   (15*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35162] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 5*z^2 - 
   z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 35163] -> 
  6*a^8 - 7*a^10 + 3*a^12 - a^14 + a^4*z^2 + 16*a^8*z^2 - 10*a^10*z^2 + 
   6*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 - a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 
   7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 35164] -> 
  2*a^6 + a^8 - 3*a^10 + 2*a^12 - a^14 + a^4*z^2 + 5*a^6*z^2 + 4*a^8*z^2 - 
   2*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 
   2*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 35165] -> -2 + 2/a^6 - 3/a^4 + 2/a^2 + 
   2*a^2 - 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35166] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 
   11*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35167] -> 
  -a^2 + 4*a^4 - 2*a^6 + a^8 - a^10 + z^2 - 3*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 35168] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35169] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - z^4/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35170] -> 
  -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35171] -> 
  2 - 2/a^2 + 3*a^2 - a^4 - a^6 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 35172] -> 
  1 - a^(-2) + a^2 + 2*a^4 - 2*a^6 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 35173] -> 1 - a^2 + a^4 + a^6 - a^8 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 35174] -> 1 + a^(-4) - 3/a^2 + 5*a^2 - 
   3*a^4 - 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 - z^4/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 35175] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 - 7*z^2 + z^2/a^2 + 17*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35176] -> 
  a^(-4) - a^2 + a^4 - a^6 + a^8 - 3*z^2 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 35177] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35178] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   4*a^6*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35179] -> 2*a^2 - a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 35180] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   8*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 35181] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 35182] -> 2*a^4 - a^8 + 6*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 35183] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + a^12*z^2 - z^4 - 2*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 35184] -> 
  -1 + 3/a^4 - 3/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35185] -> 
  1 - 2*z^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 + 
   5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35186] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   z^4/a^4 + z^4/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35187] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 2*z^2 - 
   (3*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^4 + 
   9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 35188] -> 
  a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 + z^2 - (3*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 + z^4/a^4 + 4*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 35189] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + 13*a^2*z^2 - 
   12*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35190] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 2*z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 35191] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35192] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + z^2 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - z^4/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35193] -> 
  -4 + a^(-6) - a^(-4) + a^(-2) + 6*a^2 - 2*a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35194] -> 
  1 + a^(-2) - 3*a^2 + a^4 + 2*a^6 - a^8 + z^2/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35195] -> -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 16*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 21*z^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 35196] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + 
   a^10 + 4*a^2*z^2 - 12*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + 6*a^2*z^4 - 
   19*a^4*z^4 + 19*a^6*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 
   5*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 2*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 35197] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35198] -> -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (21*z^2)/a^8 - (24*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^10 + (21*z^4)/a^8 - (19*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 - z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35199] -> -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35200] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 - 
   (3*z^2)/a^6 + (13*z^2)/a^4 - (12*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (5*z^4)/a^6 + (15*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35201] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35202] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 6*z^2 + 
   z^2/a^8 + (6*z^2)/a^6 - (19*z^2)/a^4 + (21*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 - z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35203] -> -a^(-10) - a^(-8) + 4/a^6 - 2/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35204] -> -4 - 2/a^4 + 4/a^2 + 6*a^2 - 3*a^4 - 6*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35205] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (4*z^4)/a^10 - (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35206] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35207] -> 
  -1 - a^(-10) + 2/a^8 - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35208] -> 
  a^(-16) - 2/a^14 - a^(-12) + a^(-10) + a^(-8) + a^(-6) + z^2/a^16 - 
   (8*z^2)/a^14 + (3*z^2)/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 - (4*z^4)/a^14 + (9*z^4)/a^12 + (10*z^4)/a^10 + (7*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 35209] -> -a^(-14) + 3/a^12 - 5/a^10 + 
   3/a^8 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (8*z^2)/a^10 + 
   (8*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (6*z^4)/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 35210] -> a^(-12) - 4/a^10 + 3/a^8 - 
   a^(-6) + 3/a^4 - a^(-2) + z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (6*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35211] -> 
  1 - z^2 + z^2/a^6 - z^2/a^4 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35212] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 
   3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   10*z^4 - z^4/a^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 35213] -> 
  -a^(-12) + 2/a^6 - (2*z^2)/a^14 + (4*z^2)/a^10 + (7*z^2)/a^6 - 
   (3*z^4)/a^14 + (8*z^4)/a^12 + (4*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (8*z^6)/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^8)/a^12 - (4*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 35214] -> -2/a^12 + 3/a^10 - 2/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35215] -> -9 - 2/a^6 + 9/a^2 + 3*a^2 - 25*z^2 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 28*z^4 - 
   (4*z^4)/a^6 + (14*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35216] -> 
  -7 + 3/a^4 - 3/a^2 + 13*a^2 - 5*a^4 - 17*z^2 + (9*z^2)/a^4 - (13*z^2)/a^2 + 
   27*a^2*z^2 - 7*a^4*z^2 - 18*z^4 + (10*z^4)/a^4 - (21*z^4)/a^2 + 
   23*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 35217] -> 5 + a^(-6) + a^(-4) - 6/a^2 + 
   a^2 - a^4 + 8*z^2 + (3*z^2)/a^6 - (15*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (15*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 35218] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 35219] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (5*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35220] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 35221] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35222] -> -1 + 2*a^2 + a^4 - a^8 - z^2 + 4*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 35223] -> 2 - a^(-4) + a^(-2) - 2*a^4 + a^6 + z^2 - 
   z^2/a^6 + (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 35224] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (19*z^2)/a^10 + (4*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + 
   (25*z^4)/a^12 - (33*z^4)/a^10 + z^4/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (30*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 35225] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (10*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35226] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + z^4/a^10 - (15*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35227] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 - 5*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35228] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - z^2/a^10 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 35229] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (9*z^2)/a^10 - 
   z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (11*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 35230] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - 
   (12*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (16*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 35231] -> 
  a^(-12) - a^(-10) - 2/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 - 
   z^2/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35232] -> -2 - 3/a^6 + 5/a^4 + a^2 - 6*z^2 - 
   (7*z^2)/a^6 + (22*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - 
   (5*z^4)/a^6 + (31*z^4)/a^4 - (30*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (17*z^6)/a^4 - (30*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 35233] -> -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 35234] -> 
  -3 - 4/a^6 + 8/a^4 - 2/a^2 + 2*a^2 - 6*z^2 - (8*z^2)/a^6 + (30*z^2)/a^4 - 
   (21*z^2)/a^2 + 7*a^2*z^2 - 8*z^4 - (5*z^4)/a^6 + (35*z^4)/a^4 - 
   (40*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (17*z^6)/a^4 - (33*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 35235] -> 
  -2/a^8 + 3/a^6 + a^(-4) - 2/a^2 + a^2 + z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - z^4/a^8 + (11*z^4)/a^6 - 
   (8*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 35236] -> -a^(-10) + a^(-8) + a^(-6) - a^(-2) + a^2 + 
   z^2 - z^2/a^10 + (5*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - (8*z^4)/a^2 + 
   a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 35237] -> -2/a^14 + 5/a^12 - 3/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (16*z^2)/a^12 - (13*z^2)/a^10 - (7*z^2)/a^8 + 
   (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (19*z^4)/a^10 - 
   (14*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (13*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 35238] -> -a^(-14) + 2/a^12 - 3/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - (9*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 35239] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 + z^2/a^10 + z^2/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35240] -> -a^(-14) + 5/a^12 - 6/a^10 + a^(-6) + 
   2/a^4 - (2*z^2)/a^14 + (12*z^2)/a^12 - (14*z^2)/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - 
   (10*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 35241] -> -2/a^10 + 2/a^8 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (4*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 - (2*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (7*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35242] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35243] -> 
  1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^2 + z^4 + (3*z^4)/a^10 - (6*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 35244] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35245] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 3*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35246] -> 3/a^4 - 5/a^2 + 5*a^2 - 2*a^4 - 7*z^2 + 
   (7*z^2)/a^4 - (13*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + 
   (7*z^4)/a^4 - (15*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35247] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35248] -> 1 + a^(-2) - 2*a^2 + a^6 + 4*z^2 - z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 + 
   3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 35249] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - z^2/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - (13*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35250] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35251] -> a^(-6) - 2/a^2 + 3*a^2 - a^4 - 2*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 35252] -> 
  2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (18*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35253] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 4*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35254] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   z^2 + (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35255] -> 
  3 - 5*a^2 + a^4 + 5*a^6 - 3*a^8 + 6*z^2 - 11*a^2*z^2 - 6*a^4*z^2 + 
   20*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 15*a^2*z^4 - 14*a^4*z^4 + 24*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 35256] -> a^(-2) - 2*a^2 + a^4 + 3*a^6 - 2*a^8 + z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 
   10*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35257] -> 2 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 - a^2 + 
   a^4 + 4*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35258] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 35259] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 35260] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - 
   a^6 + a^8 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35261] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 
   2/a^2 + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + z^4 - (6*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 - z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35262] -> 
  -2 + a^(-6) - a^(-2) + 4*a^2 - a^4 - 12*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (7*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35263] -> a^(-2) - a^2 - a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35264] -> 
  -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (17*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35265] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 4*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 17*a^4*z^4 + 13*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35266] -> -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 
   18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 35267] -> 
  1 - 2/a^10 + 6/a^8 - 6/a^6 + 2/a^4 + 3*z^2 - (2*z^2)/a^10 + (13*z^2)/a^8 - 
   (14*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (8*z^4)/a^8 - (11*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35268] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + z^2 - z^2/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35269] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35270] -> 
  -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 - 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35271] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 9*z^4 - z^4/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (2*z^6)/a^4 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35272] -> 
  a^(-14) - 3/a^12 + 4/a^8 - 3/a^6 + 2/a^4 - z^2/a^14 - (2*z^2)/a^12 + 
   (3*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + z^4/a^10 + (2*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 35273] -> 
  -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 + (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35274] -> 3 - 3*a^2 + a^6 + 6*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 - 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + 3*a^2*z^4 - z^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 35275] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35276] -> 
  2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - 2*z^4 + a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 
   a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 35277] -> 
  -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   7*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 35278] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + (2*z^2)/a^4 - z^2/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 17*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35279] -> -4 - 2/a^4 + 6/a^2 + a^4 - 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35280] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35281] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - (15*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (19*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35282] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 3*z^2 + 
   14*a^2*z^2 - 22*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 35283] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 
   3*a^2*z^2 - 9*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + z^4 + 
   3*a^2*z^4 - 13*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35284] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 
   2*a^8 - 9*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35285] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35286] -> 1 - 2/a^10 + 6/a^8 - 5/a^6 + a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35287] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 
   z^2 - z^2/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4 - z^4/a^10 + (7*z^4)/a^6 - (15*z^4)/a^4 - z^6/a^10 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35288] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^8 + 
   z^4/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35289] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35290] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 
   5*z^2 + z^2/a^8 + (3*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35291] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + 
   z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35292] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (17*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35293] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35294] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35295] -> 1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 
   2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35296] -> 
  -a^(-10) + 2/a^8 - a^(-4) + a^2 - z^2 + (2*z^2)/a^8 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35297] -> 1 + a^(-6) - 2/a^2 + 2*a^4 - a^6 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35298] -> 
  -2 + a^(-2) + a^2 + 2*a^4 - a^8 - 7*z^2 + (3*z^2)/a^2 + a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35299] -> 
  1 - 2/a^10 + 6/a^8 - 4/a^6 - 2/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (7*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35300] -> 2 - a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35301] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 + 
   (7*z^2)/a^6 - (23*z^2)/a^4 + (12*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   z^4/a^6 - (32*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (8*z^6)/a^6 - (21*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35302] -> 2 - a^(-10) + 5/a^6 - 5/a^4 + 5*z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 - (3*z^2)/a^2 + 
   4*z^4 - z^4/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - (16*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35303] -> 2 - 2/a^10 + 2/a^8 + 3/a^6 - 3/a^4 - 
   a^(-2) + 5*z^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (7*z^2)/a^4 - (4*z^2)/a^2 + 
   4*z^4 - z^4/a^10 + (11*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (8*z^6)/a^4 - 
   (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35304] -> 2/a^12 - 3/a^10 - 5/a^8 + 9/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (12*z^2)/a^10 - (9*z^2)/a^8 + (30*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^4)/a^12 - (17*z^4)/a^10 - z^4/a^8 + (35*z^4)/a^6 - (12*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (7*z^6)/a^8 + (21*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35305] -> a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35306] -> -6 + 2/a^8 - 5/a^6 - 3/a^4 + 13/a^2 - 
   15*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 - z^2/a^4 + (33*z^2)/a^2 - 14*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (6*z^4)/a^4 + (37*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35307] -> 2 - a^(-12) + 3/a^8 - a^(-6) - a^(-4) - 
   a^(-2) + 3*z^2 - z^2/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - z^4/a^8 - (9*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 35308] -> -4 + 2/a^8 - 8/a^6 + 5/a^4 + 
   6/a^2 - 12*z^2 + (7*z^2)/a^8 - (30*z^2)/a^6 + (27*z^2)/a^4 + 
   (15*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - (37*z^4)/a^6 + (46*z^4)/a^4 + 
   (18*z^4)/a^2 - 6*z^6 + z^6/a^8 - (18*z^6)/a^6 + (37*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 35309] -> 
  -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 5*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (19*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 - z^4/a^6 + (22*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 35310] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 11*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35311] -> -1 - 2/a^4 + 4/a^2 + 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 27*z^4 + (7*z^4)/a^4 - (24*z^4)/a^2 - 
   9*a^2*z^4 + 38*z^6 + (5*z^6)/a^4 - (29*z^6)/a^2 - 12*a^2*z^6 + 25*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 35312] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   7*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 13*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (8*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 35313] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 35314] -> 2/a^10 - 9/a^8 + 10/a^6 - 
   2/a^4 + (3*z^2)/a^10 - (19*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^4)/a^12 - (3*z^4)/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 - z^6/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35315] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35316] -> -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - 
   (7*z^2)/a^14 + (28*z^2)/a^12 - (27*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^4)/a^14 + (36*z^4)/a^12 - (44*z^4)/a^10 - 
   (11*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (36*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 35317] -> 
  -2/a^14 + 6/a^12 - 4/a^10 - 3/a^8 + 2/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (8*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35318] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - a^2*z^4 + 5*a^4*z^4 - 12*a^6*z^4 + 
   6*a^8*z^4 - 7*a^2*z^6 + 20*a^4*z^6 - 23*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 
   18*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 35319] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 
   a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 3*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35320] -> 1 - 2*a^2 + 3*a^4 - a^8 + z^2 - a^4*z^2 + 
   3*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 8*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35321] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35322] -> -1 + a^(-4) + a^4 - 7*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35323] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^2 - 16*a^2*z^4 + 7*a^4*z^4 + 20*z^6 - 
   (7*z^6)/a^2 - 24*a^2*z^6 + 5*a^4*z^6 + 18*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + 
   a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 35324] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 35325] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 
   4/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 - 
   (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35326] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35327] -> 2 - 2/a^10 + 3/a^8 + a^(-6) - 2/a^4 - 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35328] -> a^(-12) - a^(-10) - 5/a^8 + 7/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + z^4/a^8 + (17*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35329] -> 1 - a^(-10) + 5/a^6 - 6/a^4 + 2/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (11*z^2)/a^6 - (18*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 - 
   (21*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35330] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 2*a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 5*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35331] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35332] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35333] -> -a^(-8) + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + (9*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35334] -> 
  -3/a^6 + 5/a^4 - a^(-2) + (4*z^2)/a^8 - (15*z^2)/a^6 + (21*z^2)/a^4 - 
   (6*z^2)/a^2 + (8*z^4)/a^8 - (33*z^4)/a^6 + (41*z^4)/a^4 - (13*z^4)/a^2 + 
   (5*z^6)/a^8 - (31*z^6)/a^6 + (44*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 35335] -> 
  a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (9*z^2)/a^8 + (13*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (14*z^4)/a^10 + 
   (12*z^4)/a^8 + (17*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (8*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35336] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35337] -> a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (10*z^2)/a^8 + (26*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (10*z^4)/a^10 - (3*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35338] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + 
   z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35339] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 4*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 
   a^8*z^2 - a^2*z^4 + 6*a^4*z^4 - 16*a^6*z^4 + 7*a^8*z^4 - 7*a^2*z^6 + 
   20*a^4*z^6 - 24*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 18*a^4*z^8 - 
   12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 35340] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 4*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35341] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 2*z^4 + 5*a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35342] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 + (7*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (3*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35343] -> 1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35344] -> a^(-8) - 4/a^4 + 4/a^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (4*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + 
   (12*z^4)/a^8 - (4*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35345] -> 2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35346] -> -1 + a^(-2) + a^2 - 3*z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35347] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 + 2*a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35348] -> 
  -3 + 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   3*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 35349] -> 2/a^12 - 10/a^10 + 11/a^8 - 2/a^6 + 
   (7*z^2)/a^12 - (35*z^2)/a^10 + (47*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^4)/a^12 - (53*z^4)/a^10 + (77*z^4)/a^8 - (18*z^4)/a^6 + 
   (6*z^6)/a^12 - (41*z^6)/a^10 + (66*z^6)/a^8 - (17*z^6)/a^6 + z^8/a^12 - 
   (15*z^8)/a^10 + (33*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + 
   (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 35350] -> 
  a^(-12) - 5/a^10 + 3/a^8 + 3/a^6 - a^(-4) + (4*z^2)/a^12 - (16*z^2)/a^10 + 
   (14*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^12 - (18*z^4)/a^10 + 
   (17*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (11*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35351] -> -5/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - 
   (10*z^4)/a^10 - (3*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35352] -> -a^(-10) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (5*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 35353] -> 
  -2/a^14 + 6/a^12 - 5/a^10 - a^(-8) + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (12*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (15*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 35354] -> -a^(-14) + 3/a^12 - 3/a^10 + a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 35355] -> 
  -2*a^2 + 8*a^4 - 6*a^6 + a^8 - 3*a^2*z^2 + 16*a^4*z^2 - 13*a^6*z^2 + 
   4*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 10*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 6*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 35356] -> 
  -1 + 3*a^2 - a^6 - z^2 + 5*a^2*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35357] -> -a^2 + 5*a^4 - 3*a^6 - 2*a^2*z^2 + 
   13*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 9*a^4*z^4 - 
   17*a^6*z^4 + 6*a^8*z^4 - z^6 + 6*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35358] -> 3 - a^(-2) - a^2 + 5*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - z^4/a^4 + (2*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - z^6/a^4 + (4*z^6)/a^2 - 9*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35359] -> 3*a^4 - 2*a^6 + 2*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 35360] -> 
  10 - 3/a^2 - 9*a^2 + 3*a^4 + 36*z^2 - (10*z^2)/a^2 - 39*a^2*z^2 + 
   13*a^4*z^2 + 56*z^4 - (12*z^4)/a^2 - 69*a^2*z^4 + 22*a^4*z^4 + 42*z^6 - 
   (6*z^6)/a^2 - 64*a^2*z^6 + 18*a^4*z^6 + 15*z^8 - z^8/a^2 - 33*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 35361] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 6*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 17*a^2*z^2 + 7*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 23*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 35362] -> 
  -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 18*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 19*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - 12*z^6 - z^6/a^4 + (10*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35363] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 35364] -> 3*a^4 - 9*a^6 + 14*a^8 - 7*a^10 + 
   15*a^4*z^2 - 41*a^6*z^2 + 54*a^8*z^2 - 18*a^10*z^2 + 23*a^4*z^4 - 
   72*a^6*z^4 + 74*a^8*z^4 - 17*a^10*z^4 + 18*a^4*z^6 - 65*a^6*z^6 + 
   49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 35365] -> a^2 - a^4 - 2*a^6 + 8*a^8 - 5*a^10 + 
   5*a^2*z^2 - 5*a^4*z^2 - 6*a^6*z^2 + 23*a^8*z^2 - 8*a^10*z^2 + 6*a^2*z^4 - 
   11*a^4*z^4 - 11*a^6*z^4 + 23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 10*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35366] -> 2*a^2 - 5*a^4 + 5*a^6 + 2*a^8 - 3*a^10 + 
   9*a^2*z^2 - 19*a^4*z^2 + 12*a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 + 
   10*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 
   5*a^2*z^6 - 17*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35367] -> 1 - 2*a^2 + 2*a^4 - a^6 + 4*a^8 - 3*a^10 + 
   4*z^2 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 8*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 35368] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + 
   6*z^2 - 22*a^2*z^2 + 30*a^4*z^2 - 10*a^6*z^2 + 13*z^4 - 44*a^2*z^4 + 
   47*a^4*z^4 - 12*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 
   6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35369] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 10*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + (6*z^4)/a^2 - a^2*z^4 + 15*a^4*z^4 - 
   4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35370] -> 2 - a^(-4) + a^(-2) - a^2 + 20*z^2 + 
   z^2/a^4 - (10*z^2)/a^2 - 9*a^2*z^2 + 42*z^4 + (9*z^4)/a^4 - (31*z^4)/a^2 - 
   12*a^2*z^4 + 36*z^6 + (12*z^6)/a^4 - (39*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 35371] -> 6 - 2/a^2 - 4*a^2 + a^4 + 
   14*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 12*z^4 + 
   (5*z^4)/a^4 - (14*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35372] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 
   2*z^4 + 3*a^2*z^4 + 8*a^4*z^4 - 13*a^6*z^4 + 5*a^8*z^4 - z^6 + 6*a^2*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 35373] -> 
  -a^2 + 5*a^4 - 3*a^6 + 7*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 
   2*a^2*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35374] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 - z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - z^6 + 
   z^6/a^4 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (2*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35375] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - z^2/a^4 - z^2/a^2 - 3*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 4*z^6 - (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35376] -> 
  -6 - 3/a^4 + 8/a^2 + 2*a^2 - 19*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (14*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + 
   (7*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35377] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 35378] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 7*z^2 - 
   (4*z^2)/a^6 + (16*z^2)/a^4 - (19*z^2)/a^2 + 13*z^4 - (8*z^4)/a^6 + 
   (33*z^4)/a^4 - (41*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - 
   (44*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 35379] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 - (2*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (8*z^4)/a^4 - (10*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 35380] -> -2/a^14 + 7/a^12 - 9/a^10 + 
   2/a^8 + 3/a^6 - (3*z^2)/a^14 + (17*z^2)/a^12 - (19*z^2)/a^10 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - 
   (19*z^4)/a^10 - (15*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 35381] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   4/a^8 + 5/a^6 - z^2/a^14 + (6*z^2)/a^12 - z^2/a^10 - (11*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - 
   (14*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 35382] -> 
  a^2 - a^4 - a^6 + 6*a^8 - 4*a^10 + 4*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 
   16*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 4*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 35383] -> 2*a^2 - 5*a^4 + 6*a^6 - 2*a^10 + 
   7*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 9*a^2*z^4 - 
   23*a^4*z^4 + 7*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35384] -> -a^(-12) + 4/a^10 - 6/a^8 + 5/a^6 - 4/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (15*z^2)/a^8 + (16*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (16*z^4)/a^6 - (15*z^4)/a^4 - (6*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35385] -> 
  a^(-10) - 3/a^8 + 6/a^6 - 8/a^4 + 5/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35386] -> 1 - 2*a^2 + 2*a^4 + 2*a^8 - 2*a^10 + 3*z^2 - 
   4*a^2*z^2 - a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   5*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35387] -> 3*a^4 - 2*a^6 - 6*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 6*a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35388] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   6*z^2 + z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 
   4*a^2*z^4 + 3*a^4*z^4 - a^8*z^4 - z^6 + z^6/a^2 - a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35389] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 + 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 35390] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 35391] -> 3*a^4 - 7*a^6 + 10*a^8 - 5*a^10 + 
   11*a^4*z^2 - 26*a^6*z^2 + 34*a^8*z^2 - 11*a^10*z^2 + 15*a^4*z^4 - 
   47*a^6*z^4 + 49*a^8*z^4 - 12*a^10*z^4 + 13*a^4*z^6 - 46*a^6*z^6 + 
   37*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 26*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 35392] -> a^2 - a^4 + 4*a^8 - 3*a^10 + 5*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 + 13*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 - 
   2*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 35393] -> 
  3 - 8*a^2 + 10*a^4 - 4*a^6 + 7*z^2 - 26*a^2*z^2 + 31*a^4*z^2 - 10*a^6*z^2 + 
   13*z^4 - 45*a^2*z^4 + 47*a^4*z^4 - 12*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 
   37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35394] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35395] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 5*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 35396] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + 
   a^10 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 21*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35397] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (3*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^12 - 
   (3*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35398] -> a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35399] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35400] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35401] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - 9*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 + 
   5*z^4 - 20*a^2*z^4 + 26*a^4*z^4 - 8*a^6*z^4 + 8*z^6 - 26*a^2*z^6 + 
   26*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + 
   z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35402] -> 
  a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 
   11*a^8*z^2 - 4*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 - 2*a^6*z^4 + 11*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35403] -> 3 - 7*a^2 + 8*a^4 - 3*a^6 + 6*z^2 - 
   25*a^2*z^2 + 31*a^4*z^2 - 11*a^6*z^2 + 12*z^4 - 43*a^2*z^4 + 49*a^4*z^4 - 
   13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 35404] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 
   4*z^2 + z^2/a^2 - 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35405] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - (8*z^2)/a^8 + (24*z^2)/a^6 - 
   (19*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + (18*z^4)/a^6 - 
   (26*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + (2*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35406] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 - (7*z^2)/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35407] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - z^2/a^10 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35408] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - (7*z^4)/a^10 + 
   (25*z^4)/a^8 - (25*z^4)/a^6 + (10*z^4)/a^4 - (5*z^6)/a^10 + (29*z^6)/a^8 - 
   (38*z^6)/a^6 + (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (25*z^8)/a^6 + 
   (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 35409] -> -2/a^6 + 3/a^4 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (9*z^4)/a^6 + (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35410] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + (7*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35411] -> 
  -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (16*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (16*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 35412] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 4/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 35413] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35414] -> 1 + a^(-10) - 3/a^8 + 6/a^6 - 7/a^4 + 
   3/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35415] -> 
  -7 + 2/a^6 - 5/a^4 + 7/a^2 + 5*a^2 - a^4 - 23*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (20*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (11*z^4)/a^4 + (23*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 35416] -> 
  2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - a^10 + 7*a^2*z^2 - 19*a^4*z^2 + 
   21*a^6*z^2 - 3*a^10*z^2 + 9*a^2*z^4 - 26*a^4*z^4 + 17*a^6*z^4 + 
   7*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 35417] -> 1 - 2*a^2 + 3*a^4 - 2*a^6 + 
   3*a^8 - 2*a^10 + 3*z^2 - 7*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + 3*z^4 - 8*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 35418] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35419] -> -6 + 2/a^6 - 5/a^4 + 7/a^2 + 3*a^2 - 
   17*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35420] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 19*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 35421] -> a^2 - a^4 + a^6 + 2*a^8 - 
   2*a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 
   6*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   12*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35422] -> 2*a^2 - 3*a^4 + 2*a^6 + 2*a^8 - 2*a^10 + 
   5*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 
   17*a^4*z^4 + 8*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 35423] -> 
  -4 + 2/a^2 + 2*a^2 + 3*a^4 - 2*a^6 - 14*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 - 18*z^4 + (6*z^4)/a^2 + 7*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35424] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 11*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 
   5*a^2*z^2 + 11*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35425] -> 3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 7*a^4*z^2 - 
   17*a^6*z^2 + 26*a^8*z^2 - 10*a^10*z^2 + 11*a^4*z^4 - 35*a^6*z^4 + 
   44*a^8*z^4 - 12*a^10*z^4 + 12*a^4*z^6 - 40*a^6*z^6 + 36*a^8*z^6 - 
   6*a^10*z^6 + 6*a^4*z^8 - 25*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 35426] -> 
  a^2 + a^4 - 4*a^6 + 6*a^8 - 3*a^10 + a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 
   14*a^8*z^2 - 5*a^10*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35427] -> 3 - 8*a^2 + 10*a^4 - 4*a^6 + 7*z^2 - 
   28*a^2*z^2 + 35*a^4*z^2 - 12*a^6*z^2 + 13*z^4 - 46*a^2*z^4 + 51*a^4*z^4 - 
   13*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 35428] -> -1 + a^(-2) - a^2 + 4*a^4 - 
   2*a^6 - 7*z^2 + (2*z^2)/a^2 + a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + 
   (5*z^4)/a^2 + a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35429] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 5*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 + 4*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35430] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + a^2 - z^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 35431] -> -2/a^10 + 4/a^8 - 3/a^6 + 3/a^4 - 2/a^2 + 
   a^2 - z^2 - z^2/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 35432] -> 
  2/a^12 - 5/a^10 + 3/a^8 - 2/a^6 + 4/a^4 - a^(-2) + (3*z^2)/a^12 - 
   (10*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + z^4/a^6 + (10*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 35433] -> 
  a^(-12) - 2/a^10 + 2/a^4 - z^2 + z^2/a^12 - (3*z^2)/a^10 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^10 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35434] -> 6 + 2/a^8 - 7/a^6 + 7/a^4 - 4/a^2 - 3*a^2 + 
   12*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 - 
   6*a^2*z^2 + 11*z^4 + z^4/a^8 - (8*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 35435] -> 
  -a^(-12) + a^(-10) + a^(-8) - a^(-6) + a^(-4) - a^(-2) + a^2 + 
   (3*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   z^4 - (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[15, Alternating, 35436] -> 2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (13*z^2)/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (7*z^4)/a^8 - (10*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35437] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 - z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + 
   z^4/a^8 + (4*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + z^8/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35438] -> 
  -1 + a^(-8) - 3/a^6 + 5/a^4 - 3/a^2 + 2*a^2 - 5*z^2 - (4*z^2)/a^6 + 
   (10*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (10*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35439] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 + z^4/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 + 
   z^6/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^8)/a^10 + (2*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35440] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - 
   z^2/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35441] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - 
   z^4/a^10 + (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 + (4*z^6)/a^8 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35442] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 - z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + (7*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35443] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4 + z^4/a^10 - z^4/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - z^6 - 
   (2*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 35444] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35445] -> -a^(-6) + a^(-4) + a^(-2) - 6*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35446] -> -a^(-8) + 2/a^4 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^10 + z^4/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35447] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (11*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35448] -> -4 + a^(-8) - 5/a^6 + 2/a^4 + 7/a^2 - 
   12*z^2 + (3*z^2)/a^8 - (20*z^2)/a^6 + (20*z^2)/a^4 + (16*z^2)/a^2 - 
   13*z^4 + (3*z^4)/a^8 - (27*z^4)/a^6 + (39*z^4)/a^4 + (20*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (15*z^6)/a^6 + (33*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (13*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35449] -> -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - (11*z^2)/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (15*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 35450] -> 
  2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 2/a^4 + (5*z^2)/a^12 - (21*z^2)/a^10 + 
   (13*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (27*z^4)/a^10 + 
   (31*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35451] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (19*z^4)/a^8 - (17*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 35452] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   15*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 
   16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35453] -> 
  -2/a^10 + 4/a^8 - a^(-6) - 3/a^4 + 3/a^2 - (5*z^2)/a^10 + (22*z^2)/a^8 - 
   (18*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (30*z^4)/a^8 - 
   (39*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (33*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35454] -> 1 - 2/a^10 + 5/a^8 - 4/a^6 + a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - 
   (13*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35455] -> -4 + 2/a^8 - 9/a^6 + 7/a^4 + 5/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (30*z^2)/a^6 + (34*z^2)/a^4 + (11*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (35*z^4)/a^6 + (53*z^4)/a^4 + (16*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (17*z^6)/a^6 + (39*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35456] -> 2 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35457] -> -2 + a^(-10) - 4/a^8 + 2/a^6 + a^(-4) + 
   3/a^2 - 5*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + (12*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*z^4 + z^4/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + 
   (20*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (7*z^6)/a^6 + 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35458] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (20*z^4)/a^6 - (23*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 35459] -> -1 - 2/a^4 + 4/a^2 + 15*z^2 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 - 6*a^2*z^2 + 44*z^4 + (8*z^4)/a^4 - (34*z^4)/a^2 - 
   15*a^2*z^4 + 48*z^6 + (5*z^6)/a^4 - (32*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 35460] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35461] -> -1 - 2/a^4 + 4/a^2 + z^2 + z^2/a^4 + 
   13*z^4 + (5*z^4)/a^4 - (15*z^4)/a^2 - 4*a^2*z^4 + 24*z^6 + (4*z^6)/a^4 - 
   (21*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 35462] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 35463] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 35464] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 35465] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   z^6/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35466] -> -2/a^14 + 5/a^12 - 2/a^10 - 2/a^8 - 2/a^6 + 
   4/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (7*z^2)/a^10 - (7*z^2)/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 35467] -> -1 + a^(-4) + a^4 - 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 35468] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^(-2) + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35469] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - 
   z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 35470] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 4*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 + 
   7*z^6 - (3*z^6)/a^2 - 15*a^2*z^6 + 4*a^4*z^6 + 12*z^8 - (4*z^8)/a^2 - 
   10*a^2*z^8 + a^4*z^8 + 6*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 35471] -> 2 + 3/a^4 - 5/a^2 + a^2 + (5*z^2)/a^4 - 
   (11*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35472] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 35473] -> 2 - 3*a^2 + 3*a^4 - a^6 + 7*z^2 - z^2/a^2 - 
   11*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 8*z^4 - (2*z^4)/a^2 - 10*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 - a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 35474] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35475] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 11*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 12*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35476] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + z^2/a^6 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35477] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 7*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - z^4/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35478] -> -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + z^4/a^8 + 
   (10*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35479] -> -1 - a^(-6) + 3/a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35480] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35481] -> -3 - 4/a^4 + 8/a^2 - 10*z^2 - (6*z^2)/a^4 + 
   (18*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35482] -> -2/a^6 + 3/a^4 - 2*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + a^2*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35483] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35484] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + z^4 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35485] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35486] -> -2/a^10 + 5/a^8 - 3/a^6 - 2/a^4 + 3/a^2 - 
   (5*z^2)/a^10 + (24*z^2)/a^8 - (22*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (42*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (34*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 35487] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - 
   a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - 
   (16*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35488] -> 1 - a^(-12) + 2/a^10 - a^(-6) - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 - 
   (9*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35489] -> 
  -3 + 2/a^8 - 9/a^6 + 8/a^4 + 3/a^2 - 9*z^2 + (3*z^2)/a^8 - (20*z^2)/a^6 + 
   (23*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + 
   (35*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (29*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 35490] -> 
  2/a^8 - 11/a^6 + 15/a^4 - 5/a^2 + (9*z^2)/a^8 - (43*z^2)/a^6 + 
   (62*z^2)/a^4 - (22*z^2)/a^2 + (12*z^4)/a^8 - (63*z^4)/a^6 + (95*z^4)/a^4 - 
   (30*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (76*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 35491] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 11*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (2*z^2)/a^4 + (22*z^2)/a^2 - 11*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + 
   (9*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35492] -> 
  1 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   13*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35493] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + (4*z^2)/a^10 - (15*z^2)/a^8 + 
   (12*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + (4*z^4)/a^10 - (20*z^4)/a^8 + 
   (18*z^4)/a^6 + (14*z^4)/a^4 - (8*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (14*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 + 
   (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 35494] -> 4 - a^(-2) - 3*a^2 + a^4 + z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 9*z^4 - z^4/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 35495] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 - 
   z^4/a^6 + (12*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35496] -> -2/a^14 + 5/a^12 - 2/a^10 - 4/a^8 + 2/a^6 + 
   2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (7*z^2)/a^10 - (10*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (13*z^4)/a^10 - 
   (14*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 35497] -> -3 + a^(-4) + a^(-2) + a^2 + 
   a^4 - 7*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35498] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35499] -> 
  2 - 2*a^2 + a^4 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^6*z^2 - z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35500] -> 1 - 2*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35501] -> 1 - 5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35502] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 15*a^2*z^2 + 7*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 22*a^2*z^4 + 8*a^4*z^4 - 2*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   14*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 35503] -> 
  13 - 4/a^2 - 12*a^2 + 4*a^4 + 48*z^2 - (12*z^2)/a^2 - 56*a^2*z^2 + 
   20*a^4*z^2 + 67*z^4 - (13*z^4)/a^2 - 91*a^2*z^4 + 29*a^4*z^4 + 45*z^6 - 
   (6*z^6)/a^2 - 75*a^2*z^6 + 20*a^4*z^6 + 15*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 35504] -> -4 - 2/a^4 + 6/a^2 + a^4 - 11*z^2 - 
   (5*z^2)/a^4 + (18*z^2)/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 21*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35505] -> 
  -2 + 6*a^2 - 3*a^4 - 4*z^2 + 14*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   z^4/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35506] -> 4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 
   4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 14*a^2*z^2 + 6*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35507] -> 
  -1 - 2/a^4 + 5/a^2 - 3*a^2 + 2*a^4 - 11*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 - 
   10*a^2*z^2 + 7*a^4*z^2 - 19*z^4 - (4*z^4)/a^4 + (22*z^4)/a^2 - 
   16*a^2*z^4 + 9*a^4*z^4 - 15*z^6 - z^6/a^4 + (11*z^6)/a^2 - 14*a^2*z^6 + 
   5*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35508] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 
   10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   13*z^4 - z^4/a^6 + (6*z^4)/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 35509] -> 4 + a^(-4) - 3/a^2 - a^2 - 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35510] -> 3*a^4 - 4*a^6 + a^8 + 4*a^10 - 3*a^12 + 
   3*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 7*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 
   4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 20*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 9*a^4*z^6 + 7*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 35511] -> 
  a^2 - a^6 + a^8 + 2*a^10 - 2*a^12 + z^2 + 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 35512] -> 2*a^2 - 3*a^4 + 2*a^6 + a^8 - a^12 + 2*z^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 35513] -> 
  1 - a^2 + 2*a^6 - a^8 + a^10 - a^12 + z^2 + z^2/a^2 - 3*a^4*z^2 + 
   3*a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[15, Alternating, 35514] -> 
  1 - 2/a^10 + 5/a^8 - 2/a^6 - 3/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (8*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35515] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35516] -> 
  3*a^8 - a^10 - a^14 + a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 + 
   2*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 + 6*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 35517] -> a^6 + a^8 - a^14 + 2*a^4*z^2 + 4*a^6*z^2 + 
   3*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + 
   3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 35518] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + 
   a^2*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 35519] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 35520] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 2*z^2 + 
   z^2/a^4 + 4*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 3*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 
   2*a^4*z^6, Knot[15, Alternating, 35521] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 
   14*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 12*z^4 + 
   (5*z^4)/a^4 - (14*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35522] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35523] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 2*a^4*z^2 + 
   7*z^4 + (4*z^4)/a^4 - (12*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35524] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + z^2/a^4 - (8*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35525] -> 
  1 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35526] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 35527] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - z^4/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 + 
   6*a^2*z^4 - 13*z^6 - z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35528] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 24*z^2 - 
   (3*z^2)/a^2 - 39*a^2*z^2 + 16*a^4*z^2 + 38*z^4 - (5*z^4)/a^2 - 
   71*a^2*z^4 + 25*a^4*z^4 + 32*z^6 - (4*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35529] -> 
  1 - a^(-4) + 3/a^2 - 5*a^2 + 3*a^4 + z^2 - z^2/a^4 + (6*z^2)/a^2 - 
   18*a^2*z^2 + 9*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 25*a^2*z^4 + 
   10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35530] -> 5 + a^(-4) - 4/a^2 - a^4 + 12*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 2*a^4*z^2 + 13*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35531] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   12*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - z^4 - z^4/a^2 + 12*a^2*z^4 - 
   14*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 8*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 35532] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35533] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 14*z^2 + z^2/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 19*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 
   13*z^6 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35534] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (8*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35535] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + z^4/a^2 + 
   9*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 35536] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 
   2*a^4 + a^6 - 16*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35537] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 10*z^2 - 
   (2*z^2)/a^6 + (15*z^2)/a^4 - (25*z^2)/a^2 + 16*z^4 - (5*z^4)/a^6 + 
   (28*z^4)/a^4 - (47*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - 
   (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 35538] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 - z^6/a^2 + 3*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 35539] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^6 + (2*z^4)/a^4 - 
   (7*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (7*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 35540] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (7*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (11*z^4)/a^8 - (13*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35541] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35542] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 10*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35543] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 - (9*z^2)/a^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 35544] -> -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 
   11*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35545] -> 4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 - 3*a^2*z^2 + 31*z^4 + (6*z^4)/a^4 - 
   (27*z^4)/a^2 - 11*a^2*z^4 + 41*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 
   13*a^2*z^6 + 26*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 35546] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35547] -> -1 - 2/a^4 + 4/a^2 + 5*z^2 - (4*z^2)/a^6 + 
   (13*z^2)/a^4 - (12*z^2)/a^2 + 15*z^4 - (8*z^4)/a^6 + (35*z^4)/a^4 - 
   (43*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (48*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 35548] -> 
  -3/a^6 + 5/a^4 - a^(-2) + 4*z^2 - (7*z^2)/a^6 + (21*z^2)/a^4 - 
   (14*z^2)/a^2 + 12*z^4 - (9*z^4)/a^6 + (37*z^4)/a^4 - (37*z^4)/a^2 + 
   13*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (43*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 35549] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 
   3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - (11*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 35550] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - z^4/a^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35551] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35552] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 22*z^4 + z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 35553] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + 12*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4 - 
   z^4/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   4*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35554] -> 8 - 3/a^2 - 5*a^2 + a^4 + 25*z^2 - 
   (8*z^2)/a^2 - 21*a^2*z^2 + 6*a^4*z^2 + 39*z^4 - (9*z^4)/a^2 - 41*a^2*z^4 + 
   13*a^4*z^4 + 32*z^6 - (5*z^6)/a^2 - 44*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 35555] -> -a^(-4) + 2/a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 35556] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35557] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (22*z^2)/a^4 - (6*z^2)/a^2 + (8*z^4)/a^8 - 
   (34*z^4)/a^6 + (41*z^4)/a^4 - (13*z^4)/a^2 + (5*z^6)/a^8 - (31*z^6)/a^6 + 
   (44*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 35558] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (4*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35559] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 35560] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - (8*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 35561] -> a^4 + 3*a^6 - 4*a^8 + a^10 + z^2 - a^2*z^2 - 
   a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - z^4 + 2*a^2*z^4 - 
   8*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 35562] -> 2*a^6 - 2*a^8 + 6*a^10 - 
   7*a^12 + 2*a^14 + 7*a^6*z^2 - 4*a^8*z^2 + 16*a^10*z^2 - 10*a^12*z^2 + 
   a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 + 16*a^10*z^4 - a^12*z^4 - a^14*z^4 + 
   a^4*z^6 + a^6*z^6 - 7*a^8*z^6 + 4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 35563] -> 
  1 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 35564] -> 
  1 + 2*z^2 - z^2/a^4 - a^4*z^2 + 4*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 35565] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 4*a^4*z^2 - 9*a^6*z^2 + 23*a^8*z^2 - 
   10*a^10*z^2 + 10*a^4*z^4 - 30*a^6*z^4 + 43*a^8*z^4 - 12*a^10*z^4 + 
   12*a^4*z^6 - 39*a^6*z^6 + 36*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 
   25*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 35566] -> 3*a^6 - a^8 - a^10 + 2*a^2*z^2 - 
   5*a^4*z^2 + 10*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 3*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 35567] -> 
  a^2 - a^4 + 4*a^8 - 3*a^10 + 3*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   11*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35568] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35569] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 + 6*z^2 - 
   25*a^2*z^2 + 38*a^4*z^2 - 13*a^6*z^2 + 13*z^4 - 45*a^2*z^4 + 52*a^4*z^4 - 
   13*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 35570] -> -3 + a^(-2) + a^2 + 6*a^4 - 
   4*a^6 - 10*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 
   14*z^4 + (6*z^4)/a^2 - a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35571] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - z^2 + 5*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35572] -> a^4 + a^6 - a^8 + a^10 - a^12 + 2*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + a^12*z^2 - a^4*z^4 + 8*a^6*z^4 - 
   5*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 - 7*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[15, Alternating, 35573] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 
   3*z^2 + 6*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 4*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 35574] -> -a^4 + 6*a^6 - 4*a^8 + 
   2*a^2*z^2 - 8*a^4*z^2 + 19*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + 5*a^2*z^4 - 
   14*a^4*z^4 + 16*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35575] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35576] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 - (2*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35577] -> -1 + 6*a^4 - 4*a^6 - z^2 - 4*a^2*z^2 + 
   19*a^4*z^2 - 8*a^6*z^2 + 4*z^4 - 16*a^2*z^4 + 30*a^4*z^4 - 9*a^6*z^4 + 
   8*z^6 - 25*a^2*z^6 + 27*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 
   12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 35578] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35579] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 6*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 
   a^10*z^2 + a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 35580] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 3*z^2 + 
   7*a^2*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35581] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 35582] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 4*z^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35583] -> 2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 
   3*a^4*z^2 + 8*a^6*z^2 - 15*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - a^2*z^4 + 
   10*a^6*z^4 - 16*a^8*z^4 + 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 
   5*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 35584] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 20*z^2 + 
   z^2/a^4 - (9*z^2)/a^2 - 8*a^2*z^2 + 31*z^4 + (5*z^4)/a^4 - (20*z^4)/a^2 - 
   9*a^2*z^4 + 27*z^6 + (8*z^6)/a^4 - (26*z^6)/a^2 - 5*a^2*z^6 + 12*z^8 + 
   (5*z^8)/a^4 - (19*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 35585] -> 4 - 6*a^2 + 3*a^4 + 13*z^2 - 
   z^2/a^2 - 26*a^2*z^2 + 11*a^4*z^2 + 30*z^4 - (8*z^4)/a^2 - 45*a^2*z^4 + 
   13*a^4*z^4 + 38*z^6 - (12*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - 
   (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 35586] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 6*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 35587] -> 1 + a^(-2) - 2*a^2 + a^6 + 
   3*z^2 - 6*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 35588] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 
   6*z^2 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35589] -> 2 - a^(-4) + a^(-2) - a^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35590] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35591] -> a^(-8) - 2/a^6 + 2/a^2 + 
   z^2/a^8 - (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35592] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35593] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 + (5*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35594] -> 
  -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^4 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 35595] -> 4 - a^(-2) - 3*a^2 + a^4 + 11*z^2 - 
   z^2/a^2 - 18*a^2*z^2 + 8*a^4*z^2 + 21*z^4 - (2*z^4)/a^2 - 42*a^2*z^4 + 
   16*a^4*z^4 + 22*z^6 - (3*z^6)/a^2 - 47*a^2*z^6 + 14*a^4*z^6 + 11*z^8 - 
   z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 35596] -> 1 - 4*z^2 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 - 12*a^2*z^4 + 
   7*a^4*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35597] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - z^6/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 35598] -> -a^(-10) + a^(-8) + a^(-2) - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (8*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (4*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35599] -> -1 - 3/a^6 + 4/a^4 + a^(-2) + 2*z^2 - 
   (7*z^2)/a^6 + (19*z^2)/a^4 - (9*z^2)/a^2 + 11*z^4 - (9*z^4)/a^6 + 
   (36*z^4)/a^4 - (33*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - 
   (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 35600] -> 
  1 - a^(-8) - a^(-6) + 5/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (8*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 - (12*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 35601] -> -a^(-4) + 2/a^2 - 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 35602] -> -3 - a^(-6) + 4/a^2 + a^2 - 
   10*z^2 - z^2/a^6 + (10*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35603] -> -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35604] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 4*z^4 - 
   (5*z^4)/a^6 + (16*z^4)/a^4 - (13*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (24*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 35605] -> 1 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   13*z^4 + (5*z^4)/a^4 - (16*z^4)/a^2 - 4*a^2*z^4 + 24*z^6 + (4*z^6)/a^4 - 
   (21*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 35606] -> 
  5 - a^(-4) - 4*a^2 + a^4 + 7*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 9*a^2*z^2 + 
   3*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35607] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 + z^6/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 35608] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + z^2/a^6 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 35609] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 6*z^2 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35610] -> 2 - a^(-6) + a^(-4) - a^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35611] -> 4*a^6 - 3*a^8 + a^2*z^2 - 2*a^4*z^2 + 
   8*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 
   9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 35612] -> a^2 - a^4 + a^6 + 2*a^8 - 
   2*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 + 
   3*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35613] -> -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35614] -> a^(-4) - a^(-2) + a^2 + z^2 - z^2/a^4 - 
   z^2/a^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35615] -> 
  -3 + a^(-2) + 2*a^2 + 4*a^4 - 3*a^6 - 10*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 - 14*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35616] -> 
  4*a^2 - 4*a^4 + a^8 - 2*z^2 + 11*a^2*z^2 - 13*a^4*z^2 - a^6*z^2 + 
   3*a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 12*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35617] -> 1 + 3*a^2 - 6*a^4 + 3*a^6 + 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 35618] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 35619] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 35620] -> -1 - a^2 + 8*a^4 - 5*a^6 - 
   2*z^2 - 6*a^2*z^2 + 27*a^4*z^2 - 12*a^6*z^2 + 7*z^4 - 25*a^2*z^4 + 
   45*a^4*z^4 - 13*a^6*z^4 + 12*z^6 - 37*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 
   6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35621] -> 
  -3 + 6*a^2 - 2*a^6 - 6*z^2 + 11*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + 
   (4*z^4)/a^2 + 6*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35622] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 
   4*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 35623] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2 - 
   6*a^2*z^2 + 10*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 10*a^2*z^4 + 
   7*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 35624] -> -1 + 2*a^2 + a^4 - a^8 - 4*z^2 + 
   z^2/a^2 + 4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35625] -> 2 - 4*a^4 + 5*a^6 - 3*a^8 + a^10 + 
   2*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   4*a^2*z^4 - 10*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 35626] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + 2*z^2 - 
   12*a^2*z^2 + 22*a^4*z^2 - 8*a^6*z^2 + 5*z^4 - 21*a^2*z^4 + 31*a^4*z^4 - 
   9*a^6*z^4 + 8*z^6 - 26*a^2*z^6 + 27*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 
   19*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 35627] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   17*z^2 + (2*z^2)/a^4 - (12*z^2)/a^2 - 7*a^2*z^2 + 30*z^4 + (5*z^4)/a^4 - 
   (21*z^4)/a^2 - 9*a^2*z^4 + 27*z^6 + (8*z^6)/a^4 - (26*z^6)/a^2 - 
   5*a^2*z^6 + 12*z^8 + (5*z^8)/a^4 - (19*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 35628] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 - 16*a^2*z^2 + 7*a^4*z^2 + 17*z^4 - (4*z^4)/a^2 - 
   29*a^2*z^4 + 9*a^4*z^4 + 25*z^6 - (8*z^6)/a^2 - 27*a^2*z^6 + 5*a^4*z^6 + 
   19*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 35629] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35630] -> 4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 35631] -> 6 - 3/a^2 - a^2 - a^4 + 13*z^2 + 
   (3*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + (4*z^4)/a^4 - 
   (12*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 35632] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   7*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35633] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 - z^2/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - 
   (3*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 35634] -> 
  a^(-2) - a^4 + a^6 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 35635] -> -1 - a^(-6) + 3/a^4 - a^(-2) + 
   a^4 - 3*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35636] -> 3 + a^(-8) - 4/a^6 + 3/a^4 - 2*a^2 + 6*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (10*z^4)/a^6 + (11*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35637] -> 
  2/a^12 - 5/a^10 + 2/a^8 + 3/a^4 - a^(-2) + (3*z^2)/a^12 - (12*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35638] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (6*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35639] -> 2 - 2/a^10 + 4/a^8 - 2/a^6 + 
   a^(-4) - 2/a^2 + 4*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (7*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (11*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35640] -> 2 + 2/a^8 - 7/a^6 + 5/a^4 + a^(-2) - 2*a^2 + 
   5*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + (13*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 6*z^4 + z^4/a^8 - (12*z^4)/a^6 + (15*z^4)/a^4 + (10*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35641] -> 
  -a^(-12) + a^(-10) + 2/a^8 - 3/a^6 + 2/a^4 - a^(-2) + a^2 - z^2 + 
   (4*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35642] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35643] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35644] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 - 
   z^4/a^4 + z^6/a^12 - (5*z^6)/a^10 - (5*z^6)/a^8 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 35645] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^8 + (3*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35646] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 22*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^4 + (6*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35647] -> -7 + 4/a^2 + 4*a^2 - 9*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 - z^4/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35648] -> 
  -1 - a^(-6) + 3/a^2 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35649] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - z^2/a^10 - 
   (9*z^2)/a^8 + (14*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (3*z^4)/a^8 + (16*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35650] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 - 
   (4*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35651] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35652] -> 
  3 + a^(-8) - 5/a^6 + 5/a^4 - a^(-2) - 2*a^2 + 5*z^2 + (2*z^2)/a^8 - 
   (13*z^2)/a^6 + (14*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - 
   (11*z^4)/a^6 + (16*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 35653] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 2/a^8 - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (7*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35654] -> 2/a^12 - 6/a^10 + 4/a^8 - a^(-6) + 3/a^4 - 
   a^(-2) + (3*z^2)/a^12 - (14*z^2)/a^10 + (12*z^2)/a^8 + (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + 
   (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35655] -> 1 - a^(-10) + 3/a^8 - 5/a^6 + 5/a^4 - 
   2/a^2 + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (11*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35656] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 17*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 19*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35657] -> 3 + 2/a^8 - 9/a^6 + 10/a^4 - 3/a^2 - 2*a^2 + 
   4*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + (20*z^2)/a^4 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 5*z^4 + z^4/a^8 - (13*z^4)/a^6 + (19*z^4)/a^4 + (12*z^4)/a^2 - 
   4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + (10*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35658] -> 
  -a^(-12) + 2/a^10 - 2/a^6 + 2/a^4 - a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35659] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + a^(-2) - a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + (9*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 35660] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 - z^2/a^2 - z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 35661] -> 
  -2/a^14 + 5/a^12 - 3/a^10 - a^(-6) + 2/a^2 - z^2/a^14 + (8*z^2)/a^12 - 
   (6*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^2 + (3*z^4)/a^12 - 
   (6*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35662] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   4*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 4*z^4 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 35663] -> -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 
   2*a^4 - z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + 
   z^4 + z^4/a^6 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 35664] -> 
  a^(-6) - a^(-4) + a^2 - z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35665] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   4*a^2*z^2 - 11*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 17*a^4*z^4 + 21*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 35666] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 - a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35667] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 35668] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 35669] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + z^4/a^4 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35670] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*a^2*z^2 + 5*a^4*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 35671] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   5*z^2 + z^2/a^8 - (9*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35672] -> -3 + 8*a^2 - 4*a^4 - 6*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 8*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   22*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35673] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35674] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 16*z^4 + (4*z^4)/a^4 - z^4/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35675] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 
   3*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - z^4 + 
   (2*z^4)/a^6 + z^4/a^4 - (9*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 35676] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + (16*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + z^6/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35677] -> 
  -a^(-8) + 2/a^4 + z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35678] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - z^4/a^8 + (12*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35679] -> 
  2/a^12 - 7/a^10 + 3/a^8 + 5/a^6 - 2/a^4 + (5*z^2)/a^12 - (28*z^2)/a^10 + 
   (27*z^2)/a^8 + (14*z^2)/a^6 - (9*z^2)/a^4 + (4*z^4)/a^12 - (34*z^4)/a^10 + 
   (49*z^4)/a^8 + (18*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + 
   (38*z^6)/a^8 + (14*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35680] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (3*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + (9*z^4)/a^8 + (23*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (13*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35681] -> 9 - 4/a^2 - 4*a^2 + 46*z^2 + (6*z^2)/a^4 - 
   (30*z^2)/a^2 - 18*a^2*z^2 + 81*z^4 + (11*z^4)/a^4 - (54*z^4)/a^2 - 
   26*a^2*z^4 + 70*z^6 + (6*z^6)/a^4 - (42*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 35682] -> 4 - a^(-4) - 2*a^2 + 18*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 35683] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (7*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 35684] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   (2*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (21*z^4)/a^10 + 
   (25*z^4)/a^8 + (18*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (27*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35685] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (17*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35686] -> -2 + a^(-10) - 4/a^8 + 4/a^6 - 3/a^4 + 
   5/a^2 - 5*z^2 + (2*z^2)/a^10 - (13*z^2)/a^8 + (23*z^2)/a^6 - 
   (18*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (29*z^4)/a^6 - (26*z^4)/a^4 + (19*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (15*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 35687] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 - 
   5*a^2*z^4 + 8*z^6 + z^6/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 35688] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   (4*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35689] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 35690] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^4*z^2 - 4*z^4 - 
   z^4/a^6 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35691] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35692] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 + (5*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35693] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35694] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 12*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35695] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (16*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (21*z^4)/a^6 - (22*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 35696] -> 
  -1 + a^(-4) + a^4 - 8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35697] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - z^2 - 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 35698] -> 5 - a^(-8) + 2/a^6 - a^(-4) - 
   2/a^2 - 2*a^2 + 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35699] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 35700] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 - 
   4*z^2 + 14*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35701] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (12*z^2)/a^4 - (11*z^2)/a^2 + 
   7*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (22*z^4)/a^4 - (30*z^4)/a^2 + 
   9*a^2*z^4 - 10*z^6 - z^6/a^6 + (14*z^6)/a^4 - (28*z^6)/a^2 + 5*a^2*z^6 - 
   5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 35702] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 - z^2/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 35703] -> 
  8 - 3/a^2 - 5*a^2 + a^4 + 37*z^2 - (10*z^2)/a^2 - 39*a^2*z^2 + 14*a^4*z^2 + 
   59*z^4 - (12*z^4)/a^2 - 76*a^2*z^4 + 25*a^4*z^4 + 43*z^6 - (6*z^6)/a^2 - 
   69*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35704] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   17*a^2*z^2 + 8*a^4*z^2 + z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 25*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35705] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 18*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 26*z^4 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - 17*z^6 - z^6/a^4 + (11*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 35706] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 
   z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   3*z^4 - z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 35707] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 
   2*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 22*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35708] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 35709] -> 
  2*a^2 - a^4 + a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 35710] -> 1 + a^2*z^2 - 2*a^6*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 35711] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 8*z^2 - z^2/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (10*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35712] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + 6*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 8*z^4 + (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 35713] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 35714] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 + 2*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^4 + z^4/a^2 + 4*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 35715] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35716] -> 3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 
   2*a^4*z^2 + 2*a^6*z^2 + 7*a^8*z^2 + a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 
   3*a^4*z^4 + a^6*z^4 + a^8*z^4 + 3*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 35717] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 35718] -> a^2 - a^8 + 3*a^10 - 2*a^12 + z^2 + 
   2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 35719] -> a^6 + 2*a^10 - a^12 - a^14 + a^2*z^2 + 
   a^4*z^2 + 5*a^6*z^2 + 6*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 35720] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35721] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 + 10*a^6*z^2 - 
   11*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 + 
   7*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 35722] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 2*z^2 + a^2*z^2 - 
   5*a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 35723] -> 1 - a^2 + a^4 + a^10 - a^12 + z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 
   4*a^2*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 35724] -> -4 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 + a^2 + 
   a^4 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35725] -> 
  2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + 12*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 
   a^6*z^4 - 5*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   4*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 35726] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + z^2/a^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 35727] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   15*a^2*z^4 - 23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35728] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35729] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35730] -> 
  -a^(-8) + 2/a^4 - 2*z^2 + z^2/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - 3*z^4 + 
   (5*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + (6*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35731] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35732] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^10 - z^4/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35733] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35734] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 20*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35735] -> 5 - a^(-6) + 6/a^4 - 9/a^2 + 19*z^2 - 
   (4*z^2)/a^6 + (28*z^2)/a^4 - (46*z^2)/a^2 + 28*z^4 - (6*z^4)/a^6 + 
   (44*z^4)/a^4 - (81*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + (34*z^6)/a^4 - 
   (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 35736] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + (10*z^2)/a^4 - 
   (11*z^2)/a^2 + 7*a^2*z^2 - 18*z^4 - (2*z^4)/a^6 + (12*z^4)/a^4 - 
   (14*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (8*z^6)/a^4 - (11*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35737] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35738] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - 
   (9*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 35739] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 
   z^4/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (5*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35740] -> -2/a^8 + 2/a^6 + a^(-4) + (4*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - (13*z^4)/a^8 + 
   (13*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 35741] -> 
  3 - 4/a^6 + 10/a^4 - 8/a^2 + 9*z^2 - (8*z^2)/a^6 + (29*z^2)/a^4 - 
   (28*z^2)/a^2 + 16*z^4 - (9*z^4)/a^6 + (42*z^4)/a^4 - (50*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 35742] -> 11 - 4/a^2 - 8*a^2 + 2*a^4 + 
   29*z^2 - (8*z^2)/a^2 - 28*a^2*z^2 + 9*a^4*z^2 + 42*z^4 - (9*z^4)/a^2 - 
   50*a^2*z^4 + 16*a^4*z^4 + 33*z^6 - (5*z^6)/a^2 - 49*a^2*z^6 + 14*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35743] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 31*z^2 + (7*z^2)/a^4 - (26*z^2)/a^2 - 
   10*a^2*z^2 + 51*z^4 + (9*z^4)/a^4 - (41*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + 
   (5*z^6)/a^4 - (33*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 35744] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 12*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (22*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35745] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 35746] -> 
  2 - a^(-4) + a^(-2) - a^2 - 5*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + a^4*z^2 - 
   10*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35747] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (11*z^2)/a^4 - z^2/a^2 + 5*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (15*z^4)/a^4 - (7*z^4)/a^2 + 4*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 35748] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - 6*a^2*z^4 + 5*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 35749] -> a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + z^2/a^8 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 35750] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 35751] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - 
   (10*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 + (5*z^4)/a^12 - (3*z^4)/a^10 - 
   (14*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 35752] -> 
  a^6 + 4*a^10 - 5*a^12 + a^14 + 7*a^6*z^2 - 3*a^8*z^2 + 15*a^10*z^2 - 
   7*a^12*z^2 - a^14*z^2 + a^4*z^4 + 8*a^6*z^4 - 7*a^8*z^4 + 15*a^10*z^4 + 
   a^12*z^4 - a^14*z^4 + a^4*z^6 + a^6*z^6 - 8*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 35753] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 + 
   z^2 - z^2/a^8 + (11*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (13*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35754] -> 
  3*a^4 - 3*a^6 + 3*a^10 - 2*a^12 + 2*a^2*z^2 + 3*a^4*z^2 - 9*a^8*z^2 + 
   13*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 - 
   20*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 9*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 35755] -> a^2 + a^10 - a^12 + z^2 + 2*a^2*z^2 - 
   a^4*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 35756] -> 1 - 2/a^10 + 4/a^8 - a^(-6) - 
   2/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35757] -> 3*a^8 - a^10 - a^14 + a^4*z^2 + 3*a^6*z^2 + 
   7*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4 + 5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 35758] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   10*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 10*z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 35759] -> a^(-2) - a^2 - a^4 + 4*a^6 - 2*a^8 - 6*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35760] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 10*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35761] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   17*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 35762] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35763] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 - a^2 + 
   2*a^4 - 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35764] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35765] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35766] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35767] -> 
  -3 + a^(-2) + 4*a^2 - a^4 + a^6 - a^8 - 4*z^2 + z^2/a^4 + 5*a^2*z^2 - 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 35768] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 35769] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 13*a^8*z^2 - 
   6*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35770] -> 3*a^6 - a^8 - a^10 + z^2 - 3*a^4*z^2 + 
   10*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 
   7*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 35771] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   9*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + 
   z^8 + 2*a^2*z^8, Knot[15, Alternating, 35772] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + z^2 - z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35773] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 2*a^4*z^2 + 
   a^6*z^2 + 9*a^8*z^2 - 4*a^10*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   10*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 35774] -> 3*a^6 - a^8 - a^10 + a^2*z^2 - 
   a^4*z^2 + 8*a^6*z^2 - a^10*z^2 + z^4 - 4*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 35775] -> 
  4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 
   12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 35776] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^8 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + z^4/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35777] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 
   2*a^4*z^2 + 13*a^6*z^2 - 17*a^8*z^2 + 9*a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   12*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 
   4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 35778] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (11*z^4)/a^6 + (8*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35779] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35780] -> 4*a^2 - 4*a^4 + a^8 - z^2 + 7*a^2*z^2 - 
   7*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 4*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35781] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + z^2 + a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 3*a^2*z^4 - a^4*z^4 - 10*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35782] -> 6 - a^(-6) + 7/a^4 - 11/a^2 + 21*z^2 - 
   (2*z^2)/a^6 + (26*z^2)/a^4 - (49*z^2)/a^2 + 29*z^4 - (5*z^4)/a^6 + 
   (41*z^4)/a^4 - (84*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + (33*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 35783] -> 
  -2 + a^(-4) + 2*a^2 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 35784] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + (5*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35785] -> 
  -2 - a^(-6) + 5/a^4 - 4/a^2 + 3*a^2 - 12*z^2 - z^2/a^6 + (12*z^2)/a^4 - 
   (13*z^2)/a^2 + 9*a^2*z^2 - 21*z^4 - (2*z^4)/a^6 + (13*z^4)/a^4 - 
   (17*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 35786] -> 
  -a^(-4) + 2/a^2 + z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35787] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - 3*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35788] -> -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - 
   z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (5*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 + (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 35789] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   z^2/a^10 + z^2/a^8 + (5*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35790] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 + 
   (6*z^6)/a^8 - (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35791] -> -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 9*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35792] -> 
  6 - 3/a^2 - a^2 - a^4 + 16*z^2 - (6*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   31*z^4 - (8*z^4)/a^2 - 27*a^2*z^4 + 9*a^4*z^4 + 30*z^6 - (5*z^6)/a^2 - 
   38*a^2*z^6 + 12*a^4*z^6 + 13*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35793] -> 
  4 - a^(-4) - 2*a^2 + 11*z^2 - z^2/a^4 - z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   9*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 13*a^2*z^4 + 5*a^4*z^4 - z^6/a^4 + 
   (6*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35794] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + (7*z^2)/a^8 - (20*z^2)/a^6 + 
   (16*z^2)/a^4 - (3*z^2)/a^2 + (9*z^4)/a^8 - (37*z^4)/a^6 + (37*z^4)/a^4 - 
   (12*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + (43*z^6)/a^4 - (13*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 35795] -> 
  -1 - 2/a^8 + 4/a^6 - 2/a^4 + a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35796] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) - z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - 
   4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + (10*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35797] -> a^2 + a^4 - 2*a^6 + a^8 + a^10 - a^12 + 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 
   3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 35798] -> -2/a^6 + 3/a^4 - 6*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35799] -> 
  1 - a^(-8) + 2/a^6 - a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 35800] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35801] -> 
  a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 9*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (15*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35802] -> 
  -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35803] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35804] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 - 7*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 15*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35805] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 35806] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 5*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   13*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35807] -> 2*a^4 - a^8 + z^2 + z^2/a^4 - z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 35808] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 + z^2 - z^2/a^4 + 9*a^2*z^2 - 5*a^4*z^2 - z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 35809] -> a^4 + 2*a^8 - 2*a^10 + 
   3*a^4*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + a^4*z^4 - 2*a^6*z^4 + 9*a^8*z^4 - 
   3*a^10*z^4 + 2*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 3*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35810] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35811] -> 
  -1 + 6*a^4 - 4*a^6 - z^2 - 8*a^2*z^2 + 27*a^4*z^2 - 12*a^6*z^2 + 8*z^4 - 
   28*a^2*z^4 + 46*a^4*z^4 - 13*a^6*z^4 + 12*z^6 - 38*a^2*z^6 + 37*a^4*z^6 - 
   6*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 
   8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 35812] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 9*z^2 + z^2/a^2 + 14*a^2*z^2 + 4*a^4*z^2 - 
   5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35813] -> 
  -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 5*a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - 9*a^2*z^4 + 4*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 35814] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 + 7*a^4*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35815] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 32*z^2 + 
   z^2/a^4 - (14*z^2)/a^2 - 13*a^2*z^2 + 48*z^4 + (9*z^4)/a^4 - 
   (32*z^4)/a^2 - 13*a^2*z^4 + 37*z^6 + (12*z^6)/a^4 - (39*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 35816] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 17*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 - 3*a^4*z^2 + 
   13*z^4 + (5*z^4)/a^4 - (14*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35817] -> 
  2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 + 2*a^2*z^2 + 10*a^4*z^2 - 26*a^6*z^2 + 
   12*a^8*z^2 - 8*a^2*z^4 + 28*a^4*z^4 - 46*a^6*z^4 + 13*a^8*z^4 - 
   12*a^2*z^6 + 38*a^4*z^6 - 37*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 35818] -> 5*a^2 - 6*a^4 + a^6 + a^8 - 
   z^2 + 10*a^2*z^2 - 13*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 
   11*a^2*z^4 - 8*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 
   3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 35819] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35820] -> 1 + a^2 - 3*a^6 + 2*a^8 + z^2 + 3*a^2*z^2 - 
   5*a^4*z^2 - 7*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 7*a^2*z^4 - 5*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 35821] -> 2 - 2*a^4 + a^8 + 2*z^2 - a^2*z^2 - 
   6*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 35822] -> 
  -3 + a^(-4) - a^(-2) + 7*a^2 - 3*a^4 - 5*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35823] -> a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 + 
   3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 35824] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 8*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (21*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (20*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (12*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35825] -> 
  -7 - 4/a^4 + 9/a^2 + 5*a^2 - 2*a^4 - 20*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   12*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35826] -> -4 - 2/a^6 + 3/a^4 + a^(-2) + 5*a^2 - 
   2*a^4 - 5*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + z^4/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 35827] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 9*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35828] -> 1 - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 
   5*z^2 - z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 
   4*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 
   z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 35829] -> -a^(-6) + a^(-4) + a^(-2) - a^2 + 
   2*a^4 - a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - z^4/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 35830] -> -2/a^10 + 4/a^8 - a^(-6) - a^(-4) + a^2 - 
   z^2 - z^2/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 35831] -> 2/a^12 - 5/a^10 + a^(-8) + 2/a^6 + 2/a^4 - 
   a^(-2) + (3*z^2)/a^12 - (14*z^2)/a^10 + (9*z^2)/a^8 + (6*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (14*z^4)/a^8 + 
   (10*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + (9*z^6)/a^8 + 
   (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35832] -> a^(-12) - 2/a^10 - a^(-8) + a^(-6) + 3/a^4 - 
   a^(-2) - z^2 + z^2/a^12 - (5*z^2)/a^10 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35833] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + 
   z^2/a^12 - (4*z^2)/a^10 + z^2/a^8 + z^2/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35834] -> -a^(-12) + a^(-10) + 2/a^8 - 2/a^6 + a^2 + 
   (3*z^2)/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - z^4 - (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2, 
 Knot[15, Alternating, 35835] -> 2 + 2/a^8 - 5/a^6 + 5/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35836] -> 
  4*a^4 - 4*a^6 + a^8 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 8*a^4*z^2 - 
   6*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 35837] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^6 - 
   (7*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35838] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 + z^2/a^6 - (8*z^2)/a^4 + (19*z^2)/a^2 + 
   3*a^2*z^2 - 15*z^4 - z^4/a^8 + (4*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35839] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 4*z^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (27*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (8*z^4)/a^6 - (25*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 35840] -> -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 + z^2 - 
   (3*z^2)/a^8 + (15*z^2)/a^6 - (24*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (10*z^4)/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35841] -> -2/a^14 + 6/a^12 - 6/a^10 + 
   3/a^8 - 4/a^6 + 4/a^4 - (3*z^2)/a^14 + (15*z^2)/a^12 - (15*z^2)/a^10 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (16*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - 
   (9*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 35842] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35843] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35844] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 35845] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (5*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35846] -> -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 16*z^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 35847] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   11*z^2 + z^2/a^6 - (12*z^2)/a^4 + (25*z^2)/a^2 + a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35848] -> a^(-12) - 2/a^10 - 2/a^8 + 3/a^6 + 2/a^4 - 
   a^(-2) + z^2/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (11*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + 
   (15*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 35849] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   a^2 + 2*a^4 - a^6 + 5*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35850] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35851] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (5*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35852] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 35853] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 14*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + z^4/a^2 + 18*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - 
   z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 35854] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35855] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (22*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (11*z^4)/a^10 + (9*z^4)/a^8 + (25*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35856] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + 
   (7*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35857] -> 2/a^12 - 6/a^10 + 3/a^8 + a^(-6) + 2/a^4 - 
   a^(-2) + (3*z^2)/a^12 - (16*z^2)/a^10 + (12*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (14*z^4)/a^10 + (18*z^4)/a^8 + 
   (15*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (12*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 35858] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (23*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (18*z^4)/a^10 + (16*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 35859] -> 2 - 2/a^10 + 5/a^8 - 3/a^6 - 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (12*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35860] -> a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) + 
   z^2/a^12 - (4*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (6*z^4)/a^8 + (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35861] -> -a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 
   a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35862] -> -a^(-12) + 2/a^10 - a^(-6) + a^2 - z^2 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - (5*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35863] -> 
  2 + a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - a^(-2) - a^2 + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35864] -> 3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - a^4*z^2 + 
   3*z^4 + z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 35865] -> 
  -2/a^14 + 5/a^12 - 3/a^10 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - z^2/a^14 + 
   (8*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 35866] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35867] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   2*z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 35868] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 35869] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 35870] -> 2 - a^2 - a^4 + a^6 + z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35871] -> -7 + 4/a^2 + 4*a^2 - 16*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35872] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 35873] -> 
  -6 + a^(-4) + a^(-2) + 7*a^2 - 2*a^4 - 20*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35874] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35875] -> a^2 + a^4 - a^6 - z^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 35876] -> -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 
   3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35877] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 35878] -> 
  5 - 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^8 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35879] -> 
  -3 - 2/a^4 + 5/a^2 + 2*a^4 - a^6 - 7*z^2 - z^2/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 35880] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 2*z^2 + 
   6*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35881] -> -1 - a^(-6) + 2/a^4 + 2*a^4 - a^6 - 3*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 35882] -> 
  2 - a^(-2) + a^6 - a^8 + z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 35883] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^12 - z^2/a^10 - (11*z^2)/a^8 + 
   (22*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (8*z^4)/a^10 - (5*z^4)/a^8 + 
   (26*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 35884] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35885] -> -a^(-14) + 4/a^12 - 6/a^10 + 3/a^8 + 
   a^(-2) - z^2/a^14 + (7*z^2)/a^12 - (9*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 35886] -> a^(-12) - 5/a^10 + 6/a^8 - 2/a^6 + a^(-2) - 
   z^2 + z^2/a^12 - (7*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 + (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35887] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   2*z^2 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - 
   3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 35888] -> 
  -2/a^10 + 6/a^8 - 5/a^6 + a^(-4) + a^2 - z^2 - z^2/a^10 + (9*z^2)/a^8 - 
   (9*z^2)/a^6 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 35889] -> 
  2/a^12 - 7/a^10 + 5/a^8 + 2/a^4 - a^(-2) + (3*z^2)/a^12 - (17*z^2)/a^10 + 
   (15*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - 
   (13*z^4)/a^10 + (18*z^4)/a^8 + (13*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35890] -> 
  a^(-12) - 3/a^10 + 2/a^6 + 2/a^4 - a^(-2) - z^2 + z^2/a^12 - (6*z^2)/a^10 + 
   z^2/a^8 + (9*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (10*z^4)/a^6 + (6*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35891] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (13*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (3*z^4)/a^8 + (17*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35892] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (10*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 35893] -> -a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - a^(-4) + 
   a^2 - 2*z^2 + (3*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (2*z^4)/a^4 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[15, Alternating, 35894] -> -a^(-18) + 6/a^16 - 12/a^14 + 7/a^12 + 
   a^(-6) + (4*z^2)/a^16 - (16*z^2)/a^14 + (12*z^2)/a^12 + (2*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - (6*z^4)/a^14 + (9*z^4)/a^12 + (6*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 35895] -> -a^(-12) + 2/a^10 + a^(-8) - 
   3/a^6 + a^(-4) + a^2 + (3*z^2)/a^10 - (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2, Knot[15, Alternating, 35896] -> 
  2 + a^(-10) - 4/a^8 + 4/a^6 - a^(-4) - a^2 + 6*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35897] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 35898] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 35899] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 6*z^2 - (4*z^2)/a^2 - 8*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35900] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 35901] -> -2/a^14 + 5/a^12 - 4/a^10 + a^(-8) - 
   a^(-4) + 2/a^2 - z^2/a^14 + (8*z^2)/a^12 - (7*z^2)/a^10 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 35902] -> 
  1 - a^(-14) + 2/a^12 - a^(-10) + z^2 + (3*z^2)/a^12 - z^2/a^10 - z^2/a^8 - 
   z^2/a^6 - (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2, Knot[15, Alternating, 35903] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 
   2*a^4 + 3*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 35904] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 35905] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 20*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 35906] -> -1 + 4*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 18*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 35907] -> -a^(-8) + 2/a^6 - a^(-4) + 2*a^2 - 
   a^4 + (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4/a^8 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 35908] -> 
  a^(-4) - 2*a^2 + 2*a^4 - z^2 - z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35909] -> 
  -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 - z^2 + z^2/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 35910] -> -1 + a^(-4) - a^2 + 3*a^4 - a^6 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35911] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 35912] -> -3 + a^(-4) + a^(-2) + a^2 + 
   a^4 - 5*z^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 35913] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 
   z^2/a^2 + 4*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4/a^4 + a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 35914] -> 1 - a^2 + a^4 + a^6 - a^8 + 7*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 7*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 35915] -> 
  a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 35916] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 14*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35917] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 35918] -> 2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 35919] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 35920] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + a^10*z^2 - z^4 - z^4/a^2 + a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 35921] -> -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 5*z^2 + 
   9*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - z^4 - (3*z^4)/a^2 + 
   12*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 
   9*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 35922] -> 1 + a^(-4) - a^(-2) + a^2 - 2*a^4 + a^8 + 
   z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 4*z^4 - 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 35923] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 + z^4/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35924] -> 
  1 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 35925] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35926] -> 3*a^8 - 3*a^10 + 4*a^12 - 3*a^14 + 
   3*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 + a^10*z^2 + 8*a^12*z^2 - 4*a^14*z^2 + 
   4*a^4*z^4 - 2*a^8*z^4 + 3*a^10*z^4 + 8*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 7*a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 35927] -> a^6 + a^10 + a^12 - 2*a^14 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 + 3*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 35928] -> 2*a^2 - 3*a^4 + 4*a^6 - 3*a^8 + 2*a^10 - 
   a^12 + 2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 35929] -> -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   4*z^4 - z^4/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 35930] -> 2*a^6 - 3*a^8 + 5*a^10 - 2*a^12 - a^14 + 
   2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 9*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 35931] -> 1 - a^4 + 2*a^6 - a^8 + z^2/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 35932] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 35933] -> 1 + a^(-4) - a^(-2) + a^2 - 2*a^4 + a^8 - 
   z^2 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 35934] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 35935] -> 
  1 - a^2 + a^4 + a^6 - 2*a^8 + 2*a^10 - a^12 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - a^4*z^4 - 
   5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 35936] -> 1 + a^(-4) - a^(-2) + a^2 - 2*a^4 + a^8 - 
   2*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 
   3*a^6*z^2 + (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[15, Alternating, 35937] -> 
  a^4 - a^6 + a^8 + 2*a^10 - a^12 - a^14 + z^2 + a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + a^8*z^2 + 4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 - 
   3*a^6*z^4 - 3*a^8*z^4 - a^10*z^4, Knot[15, Alternating, 35938] -> 
  1 + 2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 3*a^8*z^4 + 2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35939] -> 
  -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4/a^4 + z^4/a^2 + 4*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 35940] -> 4*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 - z^2 + 
   8*a^2*z^2 - 9*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 35941] -> a^(-4) - a^(-2) + a^2 - 8*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + z^6/a^4 + z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 35942] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 35943] -> 
  -a^(-6) + 4/a^4 - 3/a^2 + a^4 - 2*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35944] -> 
  1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + z^2/a^8 - (8*z^2)/a^6 + 
   (13*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35945] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 
   z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 + 
   (3*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 35946] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 6*z^4 - z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 35947] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^6 - 
   (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 35948] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35949] -> 
  2 - 4/a^6 + 11/a^4 - 9/a^2 + a^2 - 6*z^2 - (6*z^2)/a^6 + (23*z^2)/a^4 - 
   (17*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - (4*z^4)/a^6 + (21*z^4)/a^4 - 
   (16*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 35950] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 8*z^4 + z^4/a^4 + 14*a^2*z^4 - 6*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 35951] -> -3/a^6 + 7/a^4 - 4/a^2 + a^2 - 9*z^2 - 
   (6*z^2)/a^6 + (19*z^2)/a^4 - (9*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35952] -> 
  -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 35953] -> 
  -2/a^8 + 5/a^6 - 3/a^4 + a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 35954] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35955] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 - a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 35956] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + (11*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 35957] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + z^2 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35958] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + z^2 + a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 
   8*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 35959] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 35960] -> -3 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + a^4 - 
   2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35961] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 35962] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35963] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35964] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 
   4*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 
   15*a^4*z^4 - 4*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 
   14*a^4*z^6 - 8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 35965] -> 2*a^6 + a^8 - 2*a^10 + 2*z^2 - a^2*z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 
   8*a^4*z^4 + 5*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35966] -> -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   4*z^2 + z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 35967] -> a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 
   2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 
   3*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 35968] -> a^2 - 3*a^4 + 6*a^6 - 2*a^8 - 
   a^10 + z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 + a^8*z^2 - a^10*z^2 - 
   z^4 + z^4/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - z^6 - 
   2*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 35969] -> 
  a^4 + 2*a^8 - 2*a^10 + 4*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 35970] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 
   7*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35971] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 + 9*a^6*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 35972] -> 1 - z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 35973] -> 
  1 + a^4 - 3*a^6 + 3*a^8 - a^10 + z^2 + a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 + a^10*z^2 - z^4 - a^4*z^4 - 6*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - 
   z^6 + a^2*z^6 + 3*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 35974] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - 
   a^6 - 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 + z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^4 - z^6/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 35975] -> 
  a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 35976] -> 
  2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 5*z^2 + z^2/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35977] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35978] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 + a^2*z^2 + 13*a^4*z^2 - 
   6*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 35979] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 7*a^2*z^2 - 14*a^4*z^2 + 
   18*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 21*a^4*z^4 + 
   21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 35980] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 35981] -> -1 + 3*a^2 - a^6 - z^2 + z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 35982] -> a^(-12) - 2/a^10 - 3/a^8 + 
   6/a^6 - a^(-4) + (2*z^2)/a^12 - (10*z^2)/a^10 + (2*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (10*z^4)/a^8 + (21*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 35983] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + 
   z^4/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 35984] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + 
   (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 35985] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 + 
   z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 35986] -> -1 - 3/a^6 + 6/a^4 - 2/a^2 + 
   a^2 - 8*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 
   16*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - (9*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 35987] -> 
  -a^(-8) + 4/a^4 - 3/a^2 + a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 35988] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 10*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 - 19*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 8*a^4*z^6 + 9*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 35989] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - a^4*z^4 - a^6*z^4 - 
   5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 35990] -> 1 - 2/a^10 + 3/a^8 - a^(-4) + 3*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 35991] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   z^2 - z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 35992] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^8 + (8*z^4)/a^6 - 
   (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 35993] -> 
  -3 + 2/a^2 + 2*a^2 - a^4 + 2*a^6 - a^8 - 11*z^2 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 35994] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   4*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35995] -> 
  3*a^6 - a^8 - a^10 + z^2 + a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 35996] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 
   8*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 35997] -> 
  -4 + a^(-6) - 2/a^4 + 3/a^2 + 4*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 35998] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   8*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 9*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 35999] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 + z^2/a^10 - z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 - 
   z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 36000] -> -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 
   6*z^2 + z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36001] -> 1 - 3*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 + 
   3*a^2*z^2 - 15*a^4*z^2 + 22*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   7*a^2*z^4 - 23*a^4*z^4 + 23*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 15*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 36002] -> 
  -5 - 2/a^4 + 6/a^2 + a^2 + 2*a^4 - a^6 - 8*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 36003] -> 
  2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 
   11*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 
   14*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 7*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 36004] -> 
  -3 - 3/a^4 + 6/a^2 + 2*a^2 - a^4 - 11*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36005] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 36006] -> 
  -1 + 6*a^4 - 4*a^6 - 7*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 17*a^4*z^2 - 
   8*a^6*z^2 - 13*z^4 + (7*z^4)/a^2 - a^2*z^4 + 21*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36007] -> -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + z^2/a^4 - 
   z^2/a^2 + 14*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 9*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 36008] -> -a^2 + 4*a^4 - a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36009] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   z^2/a^4 + 3*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 36010] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 
   5*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 36011] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36012] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - z^4/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 36013] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 
   2*z^2 - z^2/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 36014] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36015] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - 
   (5*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36016] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36017] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + (9*z^2)/a^10 - (28*z^2)/a^8 + 
   (26*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - z^4/a^10 - (21*z^4)/a^8 + 
   (29*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - (3*z^6)/a^8 + 
   (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 36018] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 3/a^4 + z^2/a^12 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36019] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36020] -> -4 - 3/a^6 + 5/a^4 + a^(-2) + 2*a^2 - 
   18*z^2 - (7*z^2)/a^6 + (19*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 26*z^4 - 
   (5*z^4)/a^6 + (24*z^4)/a^4 - (9*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 - z^6/a^6 + 
   (12*z^6)/a^4 - (12*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36021] -> 
  -3 - a^(-8) + 3/a^4 + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 + 
   (5*z^4)/a^4 - (12*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36022] -> -5 - 4/a^6 + 8/a^4 - a^(-2) + 3*a^2 - 
   19*z^2 - (8*z^2)/a^6 + (26*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 28*z^4 - 
   (5*z^4)/a^6 + (27*z^4)/a^4 - (16*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (12*z^6)/a^4 - (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36023] -> 
  -2 - 2/a^8 + 3/a^6 + a^(-4) - a^(-2) + 2*a^2 - 5*z^2 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^4 - (14*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 36024] -> 
  -2 - a^(-10) + a^(-8) + a^(-6) + 2*a^2 - 3*z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 36025] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36026] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 12*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 36027] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 11*z^6 + z^6/a^4 + (3*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36028] -> -2*a^6 + 12*a^8 - 12*a^10 + 3*a^12 - 
   8*a^6*z^2 + 45*a^8*z^2 - 35*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 - 
   7*a^6*z^4 + 60*a^8*z^4 - 38*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   2*a^6*z^6 + 40*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 36029] -> -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 
   3*a^4*z^2 + 11*a^6*z^2 + 11*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 15*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 36030] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 - (9*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36031] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^10 + z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36032] -> -a^6 + 9*a^8 - 9*a^10 + 2*a^12 - 5*a^6*z^2 + 
   36*a^8*z^2 - 27*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 - 4*a^6*z^4 + 
   50*a^8*z^4 - 31*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 
   35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 36033] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36034] -> 7*a^8 - 8*a^10 + 2*a^12 + 2*a^6*z^2 + 
   19*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 5*a^6*z^4 + 
   18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 
   9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 36035] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   12*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 22*a^4*z^2 + 7*a^6*z^2 - 4*z^4 - 
   (3*z^4)/a^2 + 24*a^2*z^4 - 25*a^4*z^4 + 5*a^6*z^4 + 6*z^6 - (4*z^6)/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36036] -> 
  1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 + 4*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36037] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - 
   (5*z^2)/a^14 + (26*z^2)/a^12 - (30*z^2)/a^10 - (2*z^2)/a^8 + 
   (16*z^2)/a^6 - (4*z^4)/a^14 + (33*z^4)/a^12 - (47*z^4)/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (37*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 36038] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (4*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (8*z^4)/a^10 - (20*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36039] -> 3*a^4 - 10*a^6 + 16*a^8 - 8*a^10 + 
   16*a^4*z^2 - 49*a^6*z^2 + 68*a^8*z^2 - 24*a^10*z^2 + 29*a^4*z^4 - 
   90*a^6*z^4 + 96*a^8*z^4 - 22*a^10*z^4 + 23*a^4*z^6 - 82*a^6*z^6 + 
   61*a^8*z^6 - 8*a^10*z^6 + 8*a^4*z^8 - 40*a^6*z^8 + 18*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 36040] -> a^2 - a^4 - 3*a^6 + 10*a^8 - 6*a^10 + 
   5*a^2*z^2 - 6*a^4*z^2 - 7*a^6*z^2 + 29*a^8*z^2 - 11*a^10*z^2 + 8*a^2*z^4 - 
   13*a^4*z^4 - 13*a^6*z^4 + 30*a^8*z^4 - 6*a^10*z^4 + 5*a^2*z^6 - 
   13*a^4*z^6 - 13*a^6*z^6 + 13*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36041] -> 2*a^4 - 6*a^6 + 11*a^8 - 6*a^10 + 
   3*a^2*z^2 - 12*a^6*z^2 + 30*a^8*z^2 - 11*a^10*z^2 + 7*a^2*z^4 - 
   9*a^4*z^4 - 15*a^6*z^4 + 30*a^8*z^4 - 6*a^10*z^4 + 5*a^2*z^6 - 
   12*a^4*z^6 - 13*a^6*z^6 + 13*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36042] -> a^2 - 2*a^4 + a^6 + 5*a^8 - 4*a^10 + z^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + 2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36043] -> 2*a^2 - 5*a^4 + 4*a^6 + 4*a^8 - 4*a^10 + 
   9*a^2*z^2 - 20*a^4*z^2 + 12*a^6*z^2 + 16*a^8*z^2 - 8*a^10*z^2 + 
   12*a^2*z^4 - 29*a^4*z^4 + 5*a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 
   6*a^2*z^6 - 20*a^4*z^6 - 6*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   7*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36044] -> 2*a^2 - 6*a^4 + 8*a^6 - a^8 - 2*a^10 + 
   2*z^2 + 2*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 
   3*z^4 - 2*a^2*z^4 - 13*a^4*z^4 + 7*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 8*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 36045] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 
   5*a^4 + 2*a^6 - 7*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 36046] -> 
  1 - 2*a^2 + 2*a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 4*z^2 - 7*a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 + 13*a^8*z^2 - 4*a^10*z^2 + 4*z^4 - 9*a^2*z^4 - 
   5*a^6*z^4 + 9*a^8*z^4 - a^10*z^4 + z^6 - 5*a^2*z^6 - 3*a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36047] -> 1 - 2*a^2 + a^4 + 2*a^6 + a^8 - 2*a^10 + 
   z^2 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - 
   z^4 + z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 36048] -> 
  2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 3/a^2 + 3*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36049] -> 
  a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 6*a^2*z^2 - 13*a^4*z^2 + 
   23*a^6*z^2 - 20*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 
   25*a^4*z^4 + 29*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   17*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 36050] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 
   2*a^10 - a^12 + 2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + 
   z^4 - 5*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36051] -> 
  3*a^4 - 9*a^6 + 14*a^8 - 7*a^10 + 13*a^4*z^2 - 37*a^6*z^2 + 52*a^8*z^2 - 
   18*a^10*z^2 + 22*a^4*z^4 - 68*a^6*z^4 + 73*a^8*z^4 - 17*a^10*z^4 + 
   18*a^4*z^6 - 64*a^6*z^6 + 49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 36052] -> 2*a^4 - 5*a^6 + 9*a^8 - 5*a^10 + 
   2*a^2*z^2 + 2*a^4*z^2 - 10*a^6*z^2 + 23*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 
   6*a^4*z^4 - 12*a^6*z^4 + 23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   10*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36053] -> 
  a^2 - a^4 - 2*a^6 + 8*a^8 - 5*a^10 + 5*a^2*z^2 - 7*a^4*z^2 - 2*a^6*z^2 + 
   21*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 5*a^6*z^4 + 
   22*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36054] -> 
  a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36055] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (4*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (8*z^4)/a^10 - (20*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 36056] -> 
  a^(-10) - 3/a^8 + 6/a^6 - 8/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 36057] -> 2*a^2 - 4*a^4 + 2*a^6 + 5*a^8 - 4*a^10 + 
   8*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 
   9*a^2*z^4 - 24*a^4*z^4 + 6*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   16*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36058] -> 2*a^2 - 5*a^4 + 6*a^6 - 2*a^10 + 2*z^2 + 
   a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36059] -> 3*a^4 - 8*a^6 + 12*a^8 - 6*a^10 + 
   10*a^4*z^2 - 30*a^6*z^2 + 46*a^8*z^2 - 17*a^10*z^2 + 18*a^4*z^4 - 
   57*a^6*z^4 + 68*a^8*z^4 - 17*a^10*z^4 + 17*a^4*z^6 - 58*a^6*z^6 + 
   48*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 36060] -> a^2 - 4*a^6 + 9*a^8 - 5*a^10 + 2*a^2*z^2 - 
   8*a^6*z^2 + 22*a^8*z^2 - 8*a^10*z^2 + 4*a^2*z^4 - 5*a^4*z^4 - 10*a^6*z^4 + 
   22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 36061] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 
   a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 20*a^8*z^2 - 8*a^10*z^2 + 4*a^2*z^4 - 
   4*a^4*z^4 - 9*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 
   9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36062] -> 
  a^2 - a^4 + 4*a^8 - 3*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   8*a^8*z^2 - 3*a^10*z^2 + z^4 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36063] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36064] -> 
  -2*a^2 + 12*a^4 - 14*a^6 + 5*a^8 - 9*a^2*z^2 + 46*a^4*z^2 - 59*a^6*z^2 + 
   22*a^8*z^2 - 12*a^2*z^4 + 68*a^4*z^4 - 102*a^6*z^4 + 34*a^8*z^4 - 
   6*a^2*z^6 + 48*a^4*z^6 - 88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 36065] -> 7*a^4 - 10*a^6 + 4*a^8 - 2*z^2 + 6*a^2*z^2 + 
   10*a^4*z^2 - 27*a^6*z^2 + 12*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - a^4*z^4 - 
   33*a^6*z^4 + 13*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 21*a^6*z^6 + 
   6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 36066] -> -1 + 3*a^2 + 4*a^4 - 9*a^6 + 
   4*a^8 - 4*z^2 + 11*a^2*z^2 + 8*a^4*z^2 - 29*a^6*z^2 + 13*a^8*z^2 - 4*z^4 + 
   16*a^2*z^4 - 35*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36067] -> 
  -1 + 5*a^2 - a^4 - 5*a^6 + 3*a^8 - z^2/a^2 + 10*a^2*z^2 - 7*a^4*z^2 - 
   10*a^6*z^2 + 6*a^8*z^2 + 3*z^4 - z^4/a^2 + 6*a^2*z^4 - 11*a^4*z^4 - 
   9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36068] -> 
  -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 7*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + 
   (22*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + 
   (35*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 36069] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 8*a^2*z^4 + 
   5*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36070] -> -1 + 4*a^2 - 4*a^6 + 2*a^8 - 4*z^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - 15*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   11*a^4*z^4 - 23*a^6*z^4 + 10*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36071] -> 
  -1 + 6*a^2 - 5*a^4 + a^8 + z^2 - z^2/a^2 + 10*a^2*z^2 - 13*a^4*z^2 - 
   2*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 14*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36072] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36073] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   11*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (11*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36074] -> 
  a^(-2) - a^4 + a^6 - 3*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 36075] -> 8 - a^(-2) - 11*a^2 + 5*a^4 + 29*z^2 - 
   (5*z^2)/a^2 - 46*a^2*z^2 + 18*a^4*z^2 + 47*z^4 - (8*z^4)/a^2 - 
   78*a^2*z^4 + 26*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 69*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36076] -> 
  3 + a^(-2) - 7*a^2 + 4*a^4 + 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 20*a^2*z^2 + 
   9*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36077] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   7*z^2 + (6*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36078] -> 
  5*a^4 - 6*a^6 + 2*a^8 + a^2*z^2 + 10*a^4*z^2 - 18*a^6*z^2 + 8*a^8*z^2 - 
   2*z^4 + 6*a^2*z^4 + 3*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36079] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (17*z^4)/a^6 - (14*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 36080] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (8*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36081] -> a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (11*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + 
   (15*z^4)/a^8 - (13*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (11*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 36082] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (18*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (24*z^4)/a^6 + (34*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36083] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (13*z^2)/a^6 + (20*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (18*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36084] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (3*z^2)/a^10 + (15*z^2)/a^8 - (20*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (21*z^4)/a^8 - (30*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (25*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 36085] -> a^(-10) - 6/a^8 + 9/a^6 - 
   5/a^4 + 2/a^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - (11*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 36086] -> 
  -3 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36087] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 5*z^2 - 20*a^2*z^2 + 27*a^4*z^2 - 10*a^6*z^2 + 
   8*z^4 - 42*a^2*z^4 + 60*a^4*z^4 - 21*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 
   62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 36088] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 + z^2/a^2 - 
   8*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   21*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36089] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 11*z^2 - 
   (9*z^2)/a^6 + (32*z^2)/a^4 - (32*z^2)/a^2 + 21*z^4 - (12*z^4)/a^6 + 
   (54*z^4)/a^4 - (65*z^4)/a^2 + 18*z^6 - (6*z^6)/a^6 + (42*z^6)/a^4 - 
   (63*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36090] -> 
  3 - a^(-8) + 5/a^4 - 6/a^2 + 8*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (12*z^2)/a^4 - (20*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (6*z^4)/a^4 - (25*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 36091] -> -3 - 2/a^8 + 5/a^6 - 4/a^4 + 
   3/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (19*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (27*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (15*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36092] -> 
  -2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) + 2*a^2 - 7*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 36093] -> -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 4*z^2 + 
   9*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 
   12*a^6*z^4 + 5*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 36094] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 
   7*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36095] -> -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 11*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36096] -> 
  -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - 9*a^4*z^2 + 21*a^6*z^2 + 
   10*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 8*a^4*z^4 + 
   27*a^6*z^4 + 17*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 17*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 36097] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 33*z^2 + 
   (9*z^2)/a^4 - (31*z^2)/a^2 - 11*a^2*z^2 + 65*z^4 + (12*z^4)/a^4 - 
   (54*z^4)/a^2 - 21*a^2*z^4 + 63*z^6 + (6*z^6)/a^4 - (42*z^6)/a^2 - 
   18*a^2*z^6 + 33*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 36098] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + (4*z^2)/a^4 - (10*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + 5*z^4 + (4*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + 8*z^6 + z^6/a^4 - (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 36099] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 20*z^2 + 
   (2*z^2)/a^6 - (16*z^2)/a^2 - 7*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (8*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 36100] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 + 2*z^2 + z^2/a^6 - (7*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 36101] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   15*z^2 + (4*z^2)/a^2 + 17*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 18*z^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + z^6/a^2 + 
   11*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36102] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 36103] -> 
  1 - a^2 + 2*a^4 - a^6 + 2*z^2 - 7*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 14*a^4*z^4 - 5*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36104] -> 
  -3 + 2/a^2 + a^2 + 3*a^4 - 3*a^6 + a^8 - 2*z^2 - a^2*z^2 + 6*a^4*z^2 - 
   8*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 5*a^4*z^4 - 8*a^6*z^4 + 
   a^8*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 36105] -> 
  a^(-4) - a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - (2*z^2)/a^2 + a^2*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + 2*a^2*z^4 - 2*a^6*z^4 + 2*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 36106] -> 
  -2/a^14 + 5/a^12 - 3/a^10 - 2/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (16*z^2)/a^12 - (12*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (17*z^4)/a^10 - (12*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36107] -> -a^(-14) + 2/a^12 - 2/a^8 - a^(-6) + 3/a^4 - 
   z^2/a^14 + (6*z^2)/a^12 - (7*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 36108] -> 3*a^4 - 5*a^6 + 2*a^8 + 5*a^10 - 4*a^12 + 
   13*a^4*z^2 - 19*a^6*z^2 + 2*a^8*z^2 + 24*a^10*z^2 - 10*a^12*z^2 + 
   16*a^4*z^4 - 30*a^6*z^4 - 9*a^8*z^4 + 31*a^10*z^4 - 6*a^12*z^4 + 
   7*a^4*z^6 - 23*a^6*z^6 - 15*a^8*z^6 + 14*a^10*z^6 - a^12*z^6 + a^4*z^8 - 
   8*a^6*z^8 - 7*a^8*z^8 + 2*a^10*z^8 - a^6*z^10 - a^8*z^10, 
 Knot[15, Alternating, 36109] -> a^2 - 2*a^6 + 2*a^8 + 3*a^10 - 3*a^12 + 
   4*a^2*z^2 + a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 
   4*a^2*z^4 - 3*a^4*z^4 - 15*a^6*z^4 + 2*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 
   2*a^6*z^8 - a^8*z^8, Knot[15, Alternating, 36110] -> 
  3*a^4 - 5*a^6 + 3*a^8 + 3*a^10 - 3*a^12 + 3*a^2*z^2 + 4*a^4*z^2 - 
   11*a^6*z^2 + 7*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   2*a^4*z^4 - 15*a^6*z^4 + 2*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   4*a^4*z^6 - 10*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - 
   a^8*z^8, Knot[15, Alternating, 36111] -> a^2 - 2*a^6 + 3*a^8 + a^10 - 
   2*a^12 + z^2 + 3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 6*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 
   2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[15, Alternating, 36112] -> 2*a^2 - 3*a^4 + a^6 + 2*a^8 + a^10 - 
   2*a^12 + 7*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 + 6*a^10*z^2 - 
   3*a^12*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + a^2*z^6 - 5*a^4*z^6 - 9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - 
   a^4*z^8 - 2*a^6*z^8 - a^8*z^8, Knot[15, Alternating, 36113] -> 
  2*a^2 - 3*a^4 + a^6 + 3*a^8 - a^10 - a^12 + 2*z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   7*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 36114] -> a^(-4) - a^(-2) + a^2 + a^4 - 
   2*a^6 + a^8 - 3*z^2 - z^2/a^4 + z^2/a^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 36115] -> 1 - a^2 + a^6 + 2*a^10 - 2*a^12 + 3*z^2 - 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   2*a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 36116] -> 
  1 - a^2 + a^6 + a^8 - a^12 + z^2 + z^2/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 + 2*a^10*z^2 - z^4 - 3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 - 
   a^8*z^4, Knot[15, Alternating, 36117] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   12*z^2 - z^2/a^4 + (4*z^2)/a^2 + 21*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36118] -> 
  1 - 2*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + z^4 - 7*a^2*z^4 + 
   17*a^4*z^4 - 7*a^6*z^4 + 7*z^6 - 20*a^2*z^6 + 24*a^4*z^6 - 5*a^6*z^6 + 
   5*z^8 - 18*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36119] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 
   a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 36120] -> 
  a^4 + a^6 - a^10 + 4*a^4*z^2 - 6*a^6*z^2 + 15*a^8*z^2 - 7*a^10*z^2 + 
   10*a^4*z^4 - 29*a^6*z^4 + 38*a^8*z^4 - 11*a^10*z^4 + 12*a^4*z^6 - 
   39*a^6*z^6 + 35*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 25*a^6*z^8 + 
   14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 36121] -> a^2 - a^4 + 2*a^6 - a^10 + 3*a^2*z^2 - 
   5*a^4*z^2 + 4*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36122] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (6*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36123] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36124] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^4 - (2*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   10*z^4 - z^4/a^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36125] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 8*z^2 - 33*a^2*z^2 + 48*a^4*z^2 - 17*a^6*z^2 + 
   20*z^4 - 65*a^2*z^4 + 71*a^4*z^4 - 17*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 
   49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36126] -> 
  -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 10*z^2 + (4*z^2)/a^2 + 19*a^4*z^2 - 
   8*a^6*z^2 - 16*z^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36127] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 - z^2/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 16*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 7*a^2*z^6 + 
   a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 36128] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   7*a^2*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 36129] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36130] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36131] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 22*z^4 + z^4/a^4 - (7*z^4)/a^2 - 
   8*a^2*z^4 + 25*z^6 + (7*z^6)/a^4 - (20*z^6)/a^2 - 5*a^2*z^6 + 12*z^8 + 
   (5*z^8)/a^4 - (18*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 36132] -> 2*a^2 - a^4 + z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36133] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   z^2 - 5*a^2*z^2 + 19*a^4*z^2 - 9*a^6*z^2 + 8*z^4 - 27*a^2*z^4 + 
   41*a^4*z^4 - 12*a^6*z^4 + 12*z^6 - 38*a^2*z^6 + 36*a^4*z^6 - 6*a^6*z^6 + 
   6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36134] -> 
  a^2 + a^6 - a^8 + z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   4*z^4 - 9*a^2*z^4 + 3*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 36135] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   19*a^2*z^2 - 18*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36136] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - 
   a^4 - 19*z^2 - (7*z^2)/a^4 + (21*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   20*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36137] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36138] -> 1 - 5*a^2 + 10*a^4 - 5*a^6 + 5*z^2 - 
   22*a^2*z^2 + 34*a^4*z^2 - 12*a^6*z^2 + 12*z^4 - 42*a^2*z^4 + 50*a^4*z^4 - 
   13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 36139] -> 2 + a^(-4) - 2/a^2 + 9*z^2 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (17*z^2)/a^2 + 12*z^4 - (5*z^4)/a^6 + 
   (20*z^4)/a^4 - (38*z^4)/a^2 + 6*z^6 - (11*z^6)/a^6 + (33*z^6)/a^4 - 
   (35*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (24*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 36140] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (7*z^2)/a^4 - 
   (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36141] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   4*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36142] -> a^(-6) - a^(-4) + a^2 - 4*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36143] -> 7 - 3/a^2 - 3*a^2 + 17*z^2 + (4*z^2)/a^4 - 
   (14*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 13*z^4 + (6*z^4)/a^4 - 
   (18*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36144] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 36145] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36146] -> -3 + 3/a^6 - 8/a^4 + 8/a^2 + 
   a^2 - 11*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - (9*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   z^6/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36147] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^6 - z^4/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36148] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36149] -> a^(-6) - 3/a^4 + 3/a^2 - 6*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^6 + 
   z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36150] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - 
   a^4 - 21*z^2 + (7*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + 2*z^6 + z^6/a^4 - 
   (7*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36151] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36152] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 19*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36153] -> 
  9 - a^(-2) - 13*a^2 + 6*a^4 + 38*z^2 - (5*z^2)/a^2 - 65*a^2*z^2 + 
   27*a^4*z^2 + 59*z^4 - (8*z^4)/a^2 - 111*a^2*z^4 + 38*a^4*z^4 + 43*z^6 - 
   (5*z^6)/a^2 - 93*a^2*z^6 + 25*a^4*z^6 + 15*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 36154] -> 4 + a^(-2) - 9*a^2 + 5*a^4 + 2*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 - 28*a^2*z^2 + 14*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 - 35*a^2*z^4 + 14*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 36155] -> 
  8 - a^(-2) - 9*a^2 + a^4 + 2*a^6 + 23*z^2 - (4*z^2)/a^2 - 27*a^2*z^2 - 
   8*a^4*z^2 + 10*a^6*z^2 + 25*z^4 - (4*z^4)/a^2 - 32*a^2*z^4 - 21*a^4*z^4 + 
   12*a^6*z^4 + 12*z^6 - z^6/a^2 - 20*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 36156] -> 3 + a^(-2) - 5*a^2 + 2*a^6 + 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 15*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - z^4/a^4 + 
   (5*z^4)/a^2 - 17*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36157] -> 5 - 4/a^6 + 12/a^4 - 12/a^2 + 20*z^2 - 
   (12*z^2)/a^6 + (48*z^2)/a^4 - (56*z^2)/a^2 + 29*z^4 - (13*z^4)/a^6 + 
   (67*z^4)/a^4 - (91*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36158] -> 
  -2 - 2/a^8 + 5/a^6 - 3/a^4 + a^(-2) + 2*a^2 - 13*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (27*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36159] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 + 9*z^2 - 37*a^2*z^2 + 50*a^4*z^2 - 18*a^6*z^2 + 
   12*z^4 - 59*a^2*z^4 + 82*a^4*z^4 - 26*a^6*z^4 + 6*z^6 - 43*a^2*z^6 + 
   70*a^4*z^6 - 19*a^6*z^6 + z^8 - 15*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 36160] -> 3 - 9*a^2 + 12*a^4 - 5*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 14*a^2*z^2 + 27*a^4*z^2 - 10*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 28*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36161] -> 
  a^(-8) - 4/a^6 + 4/a^4 - (2*z^2)/a^10 + (7*z^2)/a^8 - (9*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (5*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36162] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 4*z^2 + 11*a^2*z^2 + a^4*z^2 - 
   13*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 5*a^4*z^4 - 18*a^6*z^4 + 
   8*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36163] -> -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - z^2/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36164] -> 3 - 3/a^6 + 8/a^4 - 7/a^2 + 14*z^2 - 
   (11*z^2)/a^6 + (39*z^2)/a^4 - (41*z^2)/a^2 + 24*z^4 - (13*z^4)/a^6 + 
   (61*z^4)/a^4 - (75*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36165] -> 
  3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 8*z^2 - (4*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - (17*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (4*z^4)/a^4 - (22*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (8*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 36166] -> 
  -2 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36167] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 30*z^2 + (11*z^2)/a^4 - (33*z^2)/a^2 - 
   9*a^2*z^2 + 62*z^4 + (13*z^4)/a^4 - (57*z^4)/a^2 - 20*a^2*z^4 + 62*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 36168] -> 6 + 3/a^4 - 7/a^2 - a^2 + 18*z^2 + 
   (3*z^2)/a^6 - z^2/a^4 - (16*z^2)/a^2 - 6*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - (9*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 36169] -> 
  3 - 2/a^8 + 5/a^6 - 2/a^4 - 3/a^2 + 8*z^2 - (5*z^2)/a^8 + (19*z^2)/a^6 - 
   (12*z^2)/a^4 - (11*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (22*z^4)/a^6 - 
   (20*z^4)/a^4 - (17*z^4)/a^2 + 5*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (15*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 36170] -> 
  -2 - a^(-10) + 2/a^8 - a^(-4) + a^(-2) + 2*a^2 - 7*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 36171] -> a^(-4) - a^(-2) + a^2 - 2*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (4*z^4)/a^4 - 
   (15*z^4)/a^2 + 14*a^2*z^4 - 7*a^4*z^4 + 7*z^6 + z^6/a^4 - (10*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 36172] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 36173] -> 
  -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 17*z^2 + (4*z^2)/a^2 + 18*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 + 12*a^4*z^4 - 
   8*a^6*z^4 - 11*z^6 + z^6/a^2 + 15*a^2*z^6 + 13*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36174] -> -3 + a^(-2) + 4*a^2 - a^6 - 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 36175] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 9*z^2 + 
   z^2/a^2 + 18*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 3*z^4 - (2*z^4)/a^2 + 
   19*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 36176] -> 1 + a^(-4) - a^(-2) - a^2 + 
   2*a^4 - 2*a^6 + a^8 + 3*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 36177] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 5*z^2 - 
   7*a^2*z^2 - 7*a^4*z^2 + 20*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 14*a^2*z^4 - 
   14*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 36178] -> 
  -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 2*a^8 - 4*z^2 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   8*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36179] -> 2*a^2 - 5*a^4 + 9*a^6 - 6*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 14*a^4*z^2 + 23*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 19*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 36180] -> 
  a^6 + 4*a^10 - 5*a^12 + a^14 + 5*a^6*z^2 + a^8*z^2 + 11*a^10*z^2 - 
   3*a^12*z^2 - 3*a^14*z^2 + 8*a^6*z^4 - 2*a^8*z^4 + 10*a^10*z^4 + 
   9*a^12*z^4 - 4*a^14*z^4 + 5*a^6*z^6 - 7*a^8*z^6 - a^10*z^6 + 9*a^12*z^6 - 
   a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - 
   a^10*z^10, Knot[15, Alternating, 36181] -> a^6 + 2*a^8 - a^10 - a^12 + 
   a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 
   3*a^6*z^4 + a^8*z^4 + 5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 36182] -> -a^(-14) + 2/a^12 + a^(-10) - 7/a^8 + 
   6/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - (2*z^2)/a^10 - (18*z^2)/a^8 + 
   (15*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (9*z^4)/a^10 - 
   (23*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36183] -> -2/a^14 + 5/a^12 - 4/a^10 + 2/a^4 - 
   (3*z^2)/a^14 + (15*z^2)/a^12 - (12*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (17*z^4)/a^10 - (12*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36184] -> a^2 - a^6 + 4*a^10 - 3*a^12 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - 9*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   10*a^4*z^4 + 7*a^6*z^4 - 21*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   9*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 36185] -> 
  a^2 - a^6 + a^8 + 2*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - a^6*z^2 - a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 36186] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 10*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 16*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36187] -> 1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + 
   a^8 + z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 
   z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 36188] -> 2*a^2 - 3*a^4 + 3*a^6 - 3*a^8 + 5*a^10 - 
   3*a^12 + 7*a^2*z^2 - 12*a^4*z^2 + 14*a^6*z^2 - 15*a^8*z^2 + 17*a^10*z^2 - 
   4*a^12*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 19*a^6*z^4 - 26*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 36189] -> 2*a^2 - 3*a^4 + 3*a^6 - 2*a^8 + 3*a^10 - 
   2*a^12 + 2*z^2 + a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 3*a^4*z^4 - 7*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 36190] -> 1 - a^2 + a^4 - a^6 + a^8 + 
   2*a^10 - 2*a^12 + 3*z^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 6*a^2*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 36191] -> 1 - a^2 + a^4 - a^6 + 2*a^8 - 
   a^12 + z^2 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 - 3*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 36192] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36193] -> 2 - a^2 - a^4 + a^6 - z^2/a^2 + 3*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 11*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36194] -> -1 + a^(-4) + 2*a^4 - 2*a^6 + a^8 - 4*z^2 - 
   z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 36195] -> 
  1 - 2*a^2 + a^4 + 4*a^6 - 3*a^8 + 5*z^2 - 12*a^2*z^2 + 4*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 18*a^2*z^4 - a^4*z^4 + 20*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 36196] -> -2 + a^(-2) + a^2 + a^4 + 2*a^6 - 2*a^8 - 
   6*z^2 + (3*z^2)/a^2 + 4*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36197] -> a^4 + a^6 - a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 
   5*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 + 
   13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 36198] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36199] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36200] -> 1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 
   4*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - 7*a^2*z^6 + 15*a^4*z^6 - 
   4*a^6*z^6 + 4*z^8 - 12*a^2*z^8 + 10*a^4*z^8 - a^6*z^8 + z^10 - 
   6*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36201] -> 
  1 - z^2 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 2*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36202] -> a^4 + a^6 - a^10 + a^2*z^2 + 4*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36203] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   17*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 9*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 22*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36204] -> 5*a^6 - 7*a^8 + 5*a^10 - 
   2*a^12 - a^4*z^2 + 18*a^6*z^2 - 18*a^8*z^2 + 8*a^10*z^2 - 4*a^4*z^4 + 
   19*a^6*z^4 - 16*a^8*z^4 - 2*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 36205] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   4*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 36206] -> 1 - z^2 - z^2/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36207] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - 2*a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 + 7*z^4 - 
   24*a^2*z^4 + 39*a^4*z^4 - 12*a^6*z^4 + 12*z^6 - 37*a^2*z^6 + 36*a^4*z^6 - 
   6*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 
   8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36208] -> 
  a^2 + a^4 - a^6 + z^2 - 5*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   4*z^4 - 10*a^2*z^4 + 6*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   9*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 36209] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 40*z^2 + 
   (4*z^2)/a^4 - (23*z^2)/a^2 - 16*a^2*z^2 + 66*z^4 + (16*z^4)/a^4 - 
   (53*z^4)/a^2 - 17*a^2*z^4 + 48*z^6 + (17*z^6)/a^4 - (57*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36210] -> 
  9 - 4/a^2 - 4*a^2 + 20*z^2 + (4*z^2)/a^4 - (16*z^2)/a^2 - 4*a^4*z^2 + 
   14*z^4 + (8*z^4)/a^4 - (21*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36211] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 + (4*z^2)/a^2 - 13*a^2*z^2 + 8*a^4*z^2 + 16*z^4 - 
   (4*z^4)/a^2 - 36*a^2*z^4 + 12*a^4*z^4 + 32*z^6 - (11*z^6)/a^2 - 
   35*a^2*z^6 + 6*a^4*z^6 + 24*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 36212] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 + 3*z^2 + z^2/a^2 - 13*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 + 10*z^4 - (4*z^4)/a^2 - 14*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36213] -> 
  -1 + a^(-4) + a^4 - 7*z^2 + z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 
   6*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 + 2*z^6 - 
   (4*z^6)/a^4 + (8*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 36214] -> 
  a^(-4) - 2*a^2 + 2*a^4 - 2*z^2 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 36215] -> 
  -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 10*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   12*a^4*z^2 + 4*a^6*z^2 - 5*z^4 + 11*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36216] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 36217] -> 
  -1 + 3/a^6 - 8/a^4 + 7/a^2 - 5*z^2 + z^2/a^8 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (16*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36218] -> -1 + 3/a^6 - 8/a^4 + 7/a^2 - 6*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (3*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36219] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^8 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 36220] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - 
   (16*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36221] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36222] -> 4 - 3/a^6 + 9/a^4 - 9/a^2 + 20*z^2 - 
   (13*z^2)/a^6 + (49*z^2)/a^4 - (56*z^2)/a^2 + 33*z^4 - (16*z^4)/a^6 + 
   (78*z^4)/a^4 - (102*z^4)/a^2 + 24*z^6 - (7*z^6)/a^6 + (54*z^6)/a^4 - 
   (88*z^6)/a^2 + 8*z^8 - z^8/a^6 + (17*z^8)/a^4 - (41*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36223] -> 
  4 - a^(-8) + a^(-6) + 4/a^4 - 7/a^2 + 12*z^2 - (4*z^2)/a^8 + (9*z^2)/a^6 + 
   (9*z^2)/a^4 - (27*z^2)/a^2 + 13*z^4 - (4*z^4)/a^8 + (16*z^4)/a^6 + 
   z^4/a^4 - (34*z^4)/a^2 + 6*z^6 - z^6/a^8 + (10*z^6)/a^6 - (7*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 36224] -> -1 - 3/a^6 + 8/a^4 - 5/a^2 + 
   2*a^2 - 14*z^2 - (7*z^2)/a^6 + (23*z^2)/a^4 - (12*z^2)/a^2 + 9*a^2*z^2 - 
   25*z^4 - (5*z^4)/a^6 + (25*z^4)/a^4 - (15*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (12*z^6)/a^4 - (13*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36225] -> 
  -1 - a^(-8) + a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (13*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 36226] -> 
  6 - 4/a^6 + 13/a^4 - 14/a^2 + 29*z^2 - (16*z^2)/a^6 + (65*z^2)/a^4 - 
   (79*z^2)/a^2 + 41*z^4 - (17*z^4)/a^6 + (91*z^4)/a^4 - (128*z^4)/a^2 + 
   26*z^6 - (7*z^6)/a^6 + (57*z^6)/a^4 - (100*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (17*z^8)/a^4 - (43*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 36227] -> 4 - 2/a^8 + 5/a^6 - a^(-4) - 
   5/a^2 + 12*z^2 - (7*z^2)/a^8 + (25*z^2)/a^6 - (14*z^2)/a^4 - 
   (18*z^2)/a^2 + 13*z^4 - (5*z^4)/a^8 + (29*z^4)/a^6 - (25*z^4)/a^4 - 
   (26*z^4)/a^2 + 6*z^6 - z^6/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 - 
   (19*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (7*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 36228] -> 1 - 4/a^6 + 12/a^4 - 10/a^2 + 
   2*a^2 - 14*z^2 - (8*z^2)/a^6 + (30*z^2)/a^4 - (21*z^2)/a^2 + 11*a^2*z^2 - 
   27*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - (22*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (12*z^6)/a^4 - (15*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36229] -> 
  -1 - 2/a^8 + 5/a^6 - 2/a^4 - a^(-2) + 2*a^2 - 4*z^2 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 36230] -> 
  3*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36231] -> -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 36232] -> 
  4 - a^(-10) + 2/a^8 + a^(-4) - 5/a^2 + 8*z^2 - (3*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - (13*z^2)/a^2 + 5*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (7*z^4)/a^4 - (13*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36233] -> 
  -1 - a^(-10) + 2/a^8 - a^(-2) + 2*a^2 - 3*z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 36234] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 16*a^2*z^2 - 17*a^4*z^2 + 
   5*a^6*z^2 + 2*z^4 - (4*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 
   8*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 36235] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 
   3*z^2 - (4*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36236] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 + z^2/a^4 + z^2/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 14*z^4 + 
   (7*z^4)/a^4 - (8*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + 
   (5*z^6)/a^4 - (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36237] -> 
  2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 36238] -> 
  -2/a^14 + 5/a^12 - 4/a^10 - 2/a^8 + 4/a^6 - (7*z^2)/a^14 + (27*z^2)/a^12 - 
   (24*z^2)/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (5*z^4)/a^14 + 
   (36*z^4)/a^12 - (43*z^4)/a^10 - (10*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + 
   (18*z^6)/a^12 - (36*z^6)/a^10 - (12*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 36239] -> -a^(-14) + 2/a^12 - 5/a^8 + 
   5/a^6 - (3*z^2)/a^14 + (10*z^2)/a^12 - z^2/a^10 - (14*z^2)/a^8 + 
   (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (6*z^4)/a^10 - 
   (19*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 36240] -> -2/a^14 + 5/a^12 - 5/a^10 + 
   2/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (11*z^2)/a^10 - 
   z^2/a^6 + (7*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - 
   (8*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 36241] -> -a^(-14) + 2/a^12 - a^(-10) - 
   a^(-8) + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - (4*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 36242] -> 2*a^2 - 3*a^4 + 3*a^6 - 2*a^8 + 
   3*a^10 - 2*a^12 + 7*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 14*a^8*z^2 + 
   13*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 20*a^4*z^4 + 22*a^6*z^4 - 
   24*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 15*a^6*z^6 - 
   15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 36243] -> 2*a^2 - 3*a^4 + 3*a^6 - a^8 + a^10 - a^12 + 
   2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 36244] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   8*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36245] -> 
  1 - a^2 + 3*a^6 - 2*a^8 - 3*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 19*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36246] -> 1 - a^2 + a^4 - a^8 + 3*a^10 - 2*a^12 + 
   3*z^2 - 5*a^2*z^2 + 5*a^4*z^2 - 5*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 
   7*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   3*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 36247] -> 1 - a^2 + a^4 + a^10 - a^12 + z^2/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 2*a^2*z^4 - 
   3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 36248] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36249] -> 
  a^4 + 2*a^8 - 2*a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 + 9*a^8*z^2 - 
   5*a^10*z^2 + 8*a^2*z^4 - 18*a^4*z^4 + 5*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36250] -> 1 - 3*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + 
   14*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36251] -> -2 + a^(-2) + 2*a^2 - a^4 + 
   3*a^6 - 2*a^8 - 9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 18*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36252] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 2*z^2 - 
   7*a^4*z^2 + 12*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36253] -> a^4 - a^8 + 6*a^10 - 7*a^12 + 2*a^14 + 
   3*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 21*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 
   11*a^6*z^4 - 21*a^8*z^4 + 22*a^10*z^4 - 4*a^12*z^4 - 3*a^4*z^6 + 
   10*a^6*z^6 - 17*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 5*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 36254] -> a^4 + a^8 + a^10 - 3*a^12 + 
   a^14 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 
   2*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + a^4*z^6 - 
   a^6*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 36255] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 - z^4 + (7*z^4)/a^4 - (12*z^4)/a^2 + 20*a^2*z^4 - 
   5*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36256] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 36257] -> -1 + 3*a^2 - a^6 - 10*z^2 + (2*z^2)/a^2 + 
   12*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 17*z^4 + (7*z^4)/a^2 + 11*a^2*z^4 + 
   11*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36258] -> a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36259] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 27*z^2 - 
   z^2/a^4 - (9*z^2)/a^2 - 13*a^2*z^2 + 65*z^4 + (4*z^4)/a^4 - (31*z^4)/a^2 - 
   24*a^2*z^4 + 66*z^6 + (4*z^6)/a^4 - (31*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 36260] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   19*z^2 - (7*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 36261] -> -2 + 5*a^2 - a^4 - a^6 - 3*z^2 - a^2*z^2 + 
   18*a^4*z^2 - 10*a^6*z^2 + 3*z^4 - 24*a^2*z^4 + 55*a^4*z^4 - 21*a^6*z^4 + 
   4*z^6 - 29*a^2*z^6 + 61*a^4*z^6 - 18*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 36262] -> 2 - a^(-2) + a^4 - a^6 - z^2/a^2 - a^2*z^2 + 
   12*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 22*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36263] -> -a^(-8) + 2/a^4 - (7*z^2)/a^6 + 
   (18*z^2)/a^4 - (7*z^2)/a^2 + (4*z^4)/a^8 - (24*z^4)/a^6 + (44*z^4)/a^4 - 
   (16*z^4)/a^2 + (4*z^6)/a^8 - (26*z^6)/a^6 + (48*z^6)/a^4 - (14*z^6)/a^2 + 
   z^8/a^8 - (12*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 36264] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 6*z^2 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   32*z^4 + (4*z^4)/a^4 - (19*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + (4*z^6)/a^4 - 
   (25*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 36265] -> 
  2 - a^(-2) + a^2 - a^4 - 2*z^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 10*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 36266] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + (2*z^2)/a^8 - (22*z^2)/a^6 + (42*z^2)/a^4 - 
   (17*z^2)/a^2 + (5*z^4)/a^8 - (40*z^4)/a^6 + (79*z^4)/a^4 - (28*z^4)/a^2 + 
   (4*z^6)/a^8 - (33*z^6)/a^6 + (72*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 36267] -> 
  -a^(-8) + 2/a^4 - 6*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (13*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36268] -> 3 - a^(-2) - a^2 + 29*z^2 + (2*z^2)/a^4 - 
   (17*z^2)/a^2 - 13*a^2*z^2 + 66*z^4 + (5*z^4)/a^4 - (36*z^4)/a^2 - 
   24*a^2*z^4 + 66*z^6 + (4*z^6)/a^4 - (32*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 36269] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 - 
   z^2/a^4 + 7*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (8*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 36270] -> -3 - 4/a^4 + 8/a^2 - 2*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 10*z^4 - (5*z^4)/a^6 + (22*z^4)/a^4 - 
   (23*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (40*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36271] -> 
  -3 + 8*a^2 - 4*a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + 19*z^4 - 
   (5*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 + 25*z^6 - (4*z^6)/a^2 - 35*a^2*z^6 + 
   12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 
   8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36272] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 + 
   3*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 2*a^2*z^4 + 22*z^6 + (4*z^6)/a^4 - 
   (20*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 36273] -> 
  -3 - 4/a^4 + 8/a^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 11*z^4 - (8*z^4)/a^6 + 
   (31*z^4)/a^4 - (30*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - 
   (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36274] -> 
  -3 + 8*a^2 - 4*a^4 + 8*z^2 - (4*z^2)/a^2 + 31*z^4 - (8*z^4)/a^2 - 
   30*a^2*z^4 + 11*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36275] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 
   z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 18*z^6 + (4*z^6)/a^4 - (19*z^6)/a^2 - 
   7*a^2*z^6 + 18*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 36276] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 + (2*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 5*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 36277] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - (2*z^2)/a^10 + (7*z^2)/a^6 + z^2/a^4 - 
   (7*z^4)/a^10 + (24*z^4)/a^8 - (20*z^4)/a^6 + (9*z^4)/a^4 - (5*z^6)/a^10 + 
   (29*z^6)/a^8 - (37*z^6)/a^6 + (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - 
   (25*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 36278] -> -2/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36279] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - z^2 - 
   z^2/a^6 + (4*z^2)/a^2 + 8*z^4 - (7*z^4)/a^6 + (23*z^4)/a^4 - 
   (22*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + (29*z^6)/a^4 - (37*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36280] -> 
  -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36281] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 11*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 
   14*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 36282] -> 
  2 - a^(-2) + a^4 - a^6 - z^2/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 
   6*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36283] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 + (2*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   4*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 36284] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 + z^6/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36285] -> -1 - a^(-6) + 3/a^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 - (8*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 36286] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36287] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 36288] -> 1 + 3*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^2 + 9*a^2*z^4 - 14*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36289] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   12*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   15*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 23*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36290] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 2*z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 
   17*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 16*a^4*z^4 + 
   22*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 36291] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 11*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36292] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   16*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36293] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   16*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 20*a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 36294] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (3*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 - (3*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 36295] -> 1 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^4 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36296] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 4*z^2 + 16*a^2*z^2 - 25*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 6*z^4 + 24*a^2*z^4 - 32*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36297] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^8*z^2 - a^2*z^4 + 
   6*a^4*z^4 - 17*a^6*z^4 + 7*a^8*z^4 - 7*a^2*z^6 + 20*a^4*z^6 - 24*a^6*z^6 + 
   5*a^8*z^6 - 5*a^2*z^8 + 18*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 36298] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 
   3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 36299] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 
   5*z^2 + z^2/a^2 - 19*a^2*z^2 + 9*a^4*z^2 + 27*z^4 - (8*z^4)/a^2 - 
   41*a^2*z^4 + 12*a^4*z^4 + 38*z^6 - (12*z^6)/a^2 - 36*a^2*z^6 + 6*a^4*z^6 + 
   25*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 36300] -> 
  3 + a^(-4) - a^(-2) - 5*a^2 + 3*a^4 + 2*z^2 - 12*a^2*z^2 + 5*a^4*z^2 + 
   z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 36301] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36302] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 + 
   4*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 - 8*a^2*z^4 + 26*a^4*z^4 - 36*a^6*z^4 + 
   11*a^8*z^4 - 12*a^2*z^6 + 38*a^4*z^6 - 35*a^6*z^6 + 6*a^8*z^6 - 
   6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 36303] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 
   6*a^2*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 36304] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   z^2 - 6*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 36305] -> 1 - 4*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 4*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 7*z^6 - 
   (3*z^6)/a^2 - 15*a^2*z^6 + 4*a^4*z^6 + 12*z^8 - (4*z^8)/a^2 - 10*a^2*z^8 + 
   a^4*z^8 + 6*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 36306] -> 1 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36307] -> 2/a^2 - 4*a^2 + 3*a^4 + 5*z^2 + 
   (2*z^2)/a^2 - 23*a^2*z^2 + 11*a^4*z^2 + 25*z^4 - (7*z^4)/a^2 - 
   44*a^2*z^4 + 13*a^4*z^4 + 37*z^6 - (12*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 
   25*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 36308] -> 
  1 + a^(-4) - 4*a^2 + 3*a^4 - 2*z^2 + z^2/a^4 - 10*a^2*z^2 + 5*a^4*z^2 - 
   2*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - 
   (4*z^6)/a^4 + (8*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 36309] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + 2*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 + 4*z^4 - 
   16*a^2*z^4 + 36*a^4*z^4 - 12*a^6*z^4 + 11*z^6 - 32*a^2*z^6 + 35*a^4*z^6 - 
   6*a^6*z^6 + 6*z^8 - 24*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 
   8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36310] -> 
  a^2 + a^4 - a^6 + z^2 - (2*z^2)/a^2 + 8*a^4*z^2 - 5*a^6*z^2 + z^4 + 
   z^4/a^2 - 2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 - 
   5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36311] -> 
  a^2 + a^4 - a^6 - z^2 - a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   3*z^4 - 6*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   8*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 36312] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36313] -> 
  2*a^2 - a^4 + a^2*z^2 + 8*a^4*z^2 - 16*a^6*z^2 + 8*a^8*z^2 - 8*a^2*z^4 + 
   28*a^4*z^4 - 40*a^6*z^4 + 12*a^8*z^4 - 12*a^2*z^6 + 38*a^4*z^6 - 
   36*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 36314] -> 1 + 4*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 4*z^4 + 8*a^2*z^4 - 4*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 9*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36315] -> 4 - a^(-4) - 2*a^2 + 24*z^2 - (10*z^2)/a^2 - 
   11*a^2*z^2 + 45*z^4 + (8*z^4)/a^4 - (29*z^4)/a^2 - 13*a^2*z^4 + 37*z^6 + 
   (12*z^6)/a^4 - (38*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 36316] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 - (5*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36317] -> -1 + a^(-2) + 2*a^4 - a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36318] -> -a^(-8) - 3/a^6 + 8/a^4 - 3/a^2 + 
   (2*z^2)/a^8 - (17*z^2)/a^6 + (35*z^2)/a^4 - (13*z^2)/a^2 + (13*z^4)/a^8 - 
   (44*z^4)/a^6 + (59*z^4)/a^4 - (16*z^4)/a^2 + (16*z^6)/a^8 - (52*z^6)/a^6 + 
   (46*z^6)/a^4 - (7*z^6)/a^2 + (7*z^8)/a^8 - (31*z^8)/a^6 + (16*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 36319] -> -5/a^6 + 9/a^4 - 3/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (21*z^2)/a^4 - z^2/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (19*z^4)/a^6 + (15*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36320] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (17*z^4)/a^6 + (11*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36321] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 36322] -> a^4 + a^6 - a^10 + 6*a^6*z^2 + 
   3*a^8*z^2 - 3*a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36323] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 + a^2*z^4 + 
   8*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36324] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 34*z^2 - 
   z^2/a^4 - (12*z^2)/a^2 - 15*a^2*z^2 + 57*z^4 + (2*z^4)/a^4 - 
   (23*z^4)/a^2 - 20*a^2*z^4 + 53*z^6 + (3*z^6)/a^4 - (23*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 36325] -> 
  -1 + 6*a^4 - 4*a^6 - 2*z^2 - 11*a^2*z^2 + 36*a^4*z^2 - 17*a^6*z^2 + 3*z^4 - 
   30*a^2*z^4 + 72*a^4*z^4 - 26*a^6*z^4 + 4*z^6 - 30*a^2*z^6 + 68*a^4*z^6 - 
   19*a^6*z^6 + z^8 - 13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 36326] -> 
  -3 + 7*a^2 - 2*a^4 - a^6 - 10*z^2 + 17*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 + 17*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36327] -> 
  -a^(-8) + a^(-6) + a^(-2) - 4*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*z^4 + z^4/a^8 - (8*z^4)/a^6 + (10*z^4)/a^4 + 
   (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (9*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 36328] -> 1 + z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^8 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36329] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (4*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36330] -> a^(-6) - 3/a^4 + 3/a^2 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + 
   (4*z^6)/a^8 - (19*z^6)/a^6 + (18*z^6)/a^4 - (7*z^6)/a^2 + z^8/a^8 - 
   (11*z^8)/a^6 + (18*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 36331] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (6*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36332] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 + 3*z^4 - (5*z^4)/a^6 + 
   (15*z^4)/a^4 - (8*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + (21*z^6)/a^4 - 
   (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36333] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 9*z^2 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   29*z^4 - (8*z^4)/a^2 - 22*a^2*z^4 + 8*a^4*z^4 + 30*z^6 - (5*z^6)/a^2 - 
   37*a^2*z^6 + 12*a^4*z^6 + 13*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36334] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 2*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36335] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36336] -> -a^(-14) + 2/a^12 - 5/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (5*z^2)/a^10 - (14*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (12*z^4)/a^10 - 
   (21*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36337] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 - z^4/a^10 - (5*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36338] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 36339] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36340] -> 1 + a^2 - 2*a^4 + a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 
   a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 36341] -> 1 + a^2 - 2*a^4 + a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 36342] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 3*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 
   5*a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36343] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 3*a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 + 2*a^2*z^4 - 3*a^4*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36344] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*a^4*z^2 + 2*a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36345] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36346] -> 2*a^2 - 2*a^6 + a^8 + 4*a^2*z^2 - a^4*z^2 - 
   8*a^6*z^2 + 5*a^8*z^2 - a^2*z^4 + 7*a^4*z^4 - 22*a^6*z^4 + 8*a^8*z^4 - 
   7*a^2*z^6 + 20*a^4*z^6 - 25*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 18*a^4*z^8 - 
   12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 36347] -> 1 + a^2 - 2*a^4 + a^6 + z^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 5*a^2*z^4 - 8*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36348] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + 3*z^2 + 
   z^2/a^2 - 15*a^2*z^2 + 7*a^4*z^2 + 16*z^4 - (4*z^4)/a^2 - 29*a^2*z^4 + 
   9*a^4*z^4 + 25*z^6 - (8*z^6)/a^2 - 27*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - 
   (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 36349] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 
   a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 + 3*z^4 - 12*a^2*z^4 + 28*a^4*z^4 - 
   9*a^6*z^4 + 8*z^6 - 24*a^2*z^6 + 27*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 
   19*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 36350] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   2*z^2 - z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   4*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36351] -> a^(-2) - a^2 + a^4 - 4*z^2 + 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36352] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 36353] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 26*z^2 - 
   z^2/a^4 - (9*z^2)/a^2 - 12*a^2*z^2 + 46*z^4 + (8*z^4)/a^4 - (28*z^4)/a^2 - 
   13*a^2*z^4 + 37*z^6 + (12*z^6)/a^4 - (38*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 36354] -> 4 - 2/a^2 - a^4 + 9*z^2 - 
   (6*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 
   13*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36355] -> -4/a^6 + 7/a^4 - 2/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (15*z^2)/a^4 - 3*z^4 + (5*z^4)/a^8 - 
   (15*z^4)/a^6 + (11*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36356] -> 1 + a^(-6) - 2/a^2 + a^2 - 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36357] -> 
  a^4 + 2*a^6 - 2*a^8 - a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36358] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 - 2*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 2*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36359] -> 
  2 - 2*a^2 + a^4 + 10*z^2 - z^2/a^2 - 18*a^2*z^2 + 8*a^4*z^2 + 29*z^4 - 
   (8*z^4)/a^2 - 40*a^2*z^4 + 12*a^4*z^4 + 38*z^6 - (12*z^6)/a^2 - 
   36*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 36360] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 - 2*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 - 3*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36361] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 31*z^2 + (3*z^2)/a^4 - (19*z^2)/a^2 - 
   12*a^2*z^2 + 47*z^4 + (9*z^4)/a^4 - (34*z^4)/a^2 - 13*a^2*z^4 + 37*z^6 + 
   (12*z^6)/a^4 - (39*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 36362] -> 5 + a^(-4) - 4/a^2 - a^4 + 13*z^2 + 
   (2*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36363] -> -6 + 3/a^2 + 6*a^2 - 3*a^4 + 
   a^6 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36364] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 9*z^2 - (7*z^2)/a^6 + (19*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (9*z^4)/a^6 + (24*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36365] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 8*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 36366] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 14*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 36367] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 11*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36368] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^4*z^2 - 5*z^4 - z^4/a^6 - 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36369] -> a^(-2) - 4*a^2 + 7*a^4 - 3*a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 36370] -> a^(-2) - 2*a^2 + 2*a^4 + a^6 - 
   a^8 - 3*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 36371] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 
   5*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - (10*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (8*z^4)/a^6 + (21*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36372] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   9*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   8*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 36373] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + z^2 - (3*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 - 
   4*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36374] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + 11*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + 
   (2*z^4)/a^4 + 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 36375] -> 3 - 9*a^2 + 12*a^4 - 5*a^6 + 8*z^2 - 
   34*a^2*z^2 + 45*a^4*z^2 - 16*a^6*z^2 + 17*z^4 - 59*a^2*z^4 + 67*a^4*z^4 - 
   17*a^6*z^4 + 17*z^6 - 58*a^2*z^6 + 48*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 36376] -> a^(-2) - 5*a^2 + 9*a^4 - 4*a^6 - 
   2*z^2 + z^2/a^2 - 10*a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 5*z^4 + 
   (4*z^4)/a^2 - 10*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 
   9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36377] -> 
  3 - 7*a^2 + 7*a^4 - a^6 - a^8 + 6*z^2 - 20*a^2*z^2 + 17*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 23*a^2*z^4 + 12*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 36378] -> a^(-2) - 3*a^2 + 4*a^4 - a^8 - 2*z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36379] -> 1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 
   2*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (14*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (8*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 36380] -> 
  1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - z^2/a^6 + (9*z^2)/a^4 - 
   (10*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 36381] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36382] -> -3 - 4/a^6 + 8/a^4 - 2/a^2 + 2*a^2 - 
   12*z^2 - (6*z^2)/a^6 + (20*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36383] -> 
  -2 - 3/a^6 + 5/a^4 + a^2 - 12*z^2 - (6*z^2)/a^6 + (16*z^2)/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 19*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - (6*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36384] -> -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 - z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 36385] -> 
  -2/a^8 + 3/a^6 + a^(-4) - 2/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36386] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 36387] -> -6 + 3/a^6 - 9/a^4 + 11/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36388] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 5*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (26*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36389] -> 
  -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 5*a^6*z^2 + 38*a^8*z^2 - 32*a^10*z^2 + 
   7*a^12*z^2 - 4*a^4*z^4 - 4*a^6*z^4 + 51*a^8*z^4 - 35*a^10*z^4 + 
   5*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 36390] -> a^4 - 2*a^6 + 8*a^8 - 8*a^10 + 2*a^12 + 
   2*a^4*z^2 - 2*a^6*z^2 + 19*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 16*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 36391] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 3*a^4*z^2 + 13*a^6*z^2 + 
   6*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   16*a^6*z^4 + 7*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 36392] -> 3*a^6 - 3*a^10 + a^12 + a^4*z^2 + 
   7*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 + 
   6*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 36393] -> a^(-8) - a^(-6) + a^2 - 5*z^2 + 
   z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (13*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 3*z^6 - 
   z^6/a^8 + z^6/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^6 + (3*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 36394] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + 
   z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 36395] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^6 - (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - 
   z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 36396] -> 
  a^4 - a^6 + 5*a^8 - 5*a^10 + a^12 + 2*a^4*z^2 - 2*a^6*z^2 + 17*a^8*z^2 - 
   12*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 18*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 6*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 36397] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - 6*z^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + (4*z^4)/a^4 + (4*z^4)/a^2 + 
   a^2*z^4 - z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36398] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 + 2*a^6*z^2 + 18*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 + 20*a^8*z^4 - 13*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 7*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 36399] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 18*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36400] -> 
  -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - (3*z^2)/a^14 + (18*z^2)/a^12 - 
   (18*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (15*z^4)/a^12 - (21*z^4)/a^10 - (15*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (13*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 36401] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - z^2/a^14 + (7*z^2)/a^12 - 
   (2*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 36402] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - 
   (4*z^2)/a^8 + (16*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 36403] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 
   2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 
   7*a^4*z^4 - 7*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36404] -> 
  a^2 - 3*a^4 + 5*a^6 - 2*a^10 + z^2 + a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36405] -> 
  a^2 - 2*a^4 + a^6 + 5*a^8 - 4*a^10 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 
   18*a^8*z^2 - 8*a^10*z^2 + 6*a^2*z^4 - 11*a^4*z^4 - 5*a^6*z^4 + 
   22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 9*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36406] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 6/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36407] -> 
  -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (28*z^2)/a^4 + (30*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (31*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 36408] -> 2*a^2 - 7*a^4 + 12*a^6 - 6*a^8 + z^2 + 
   5*a^2*z^2 - 19*a^4*z^2 + 26*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 + 
   3*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 12*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 36409] -> a^(-10) - 3/a^8 + 7/a^6 - 
   10/a^4 + 6/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - 
   (21*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (7*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36410] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36411] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 + (3*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 + z^4 - z^4/a^10 - z^4/a^8 + 
   (4*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36412] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 2*a^2*z^2 + 
   a^4*z^2 - 6*a^6*z^2 + 17*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   6*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 6*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36413] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   8*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 9*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36414] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   15*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 3*a^4*z^4 - 7*a^6*z^4 + 17*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36415] -> a^2 - 3*a^6 + 7*a^8 - 4*a^10 + 2*a^2*z^2 - 
   6*a^6*z^2 + 17*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 8*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 36416] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 
   2*z^2 + (2*z^2)/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 36417] -> 
  1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36418] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) - 
   z^2/a^14 + (4*z^2)/a^12 - (7*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36419] -> a^(-8) - 4/a^4 + 4/a^2 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + 
   (8*z^4)/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 36420] -> -1 + 2/a^4 - 4/a^2 + 8*a^2 - 4*a^4 - 9*z^2 + 
   (7*z^2)/a^4 - (12*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 16*z^4 + 
   (9*z^4)/a^4 - (17*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36421] -> 
  6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 4*a^2*z^2 + 11*a^4*z^2 - 22*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 4*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36422] -> -1 + 5*a^2 - 2*a^4 - 3*a^6 + 2*a^8 - 
   z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36423] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 3*a^2*z^2 + 
   6*a^4*z^2 - 18*a^6*z^2 + 9*a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 26*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36424] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 + a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 
   10*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36425] -> 
  -1 - 2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 + a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36426] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 18*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + 15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 16*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 
   5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 36427] -> 
  -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 9*a^4*z^2 + 23*a^6*z^2 + 
   5*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 8*a^4*z^4 + 
   28*a^6*z^4 + 13*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 17*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 36428] -> -a^4 + 6*a^6 - 3*a^8 - 2*a^10 + a^12 - 
   2*a^2*z^2 + 14*a^6*z^2 - a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 4*a^4*z^4 + 13*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 36429] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 11*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 17*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36430] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 36431] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 36432] -> -2/a^14 + 5/a^12 - 3/a^10 - 2/a^8 + a^(-6) + 
   2/a^4 - z^2/a^14 + (10*z^2)/a^12 - (6*z^2)/a^10 - (6*z^2)/a^8 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (8*z^4)/a^10 - (10*z^4)/a^8 - 
   (6*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 36433] -> -a^(-14) + 2/a^12 - 2/a^8 - 
   a^(-6) + 3/a^4 + z^2 + (4*z^2)/a^12 - (4*z^2)/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 - (6*z^4)/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 36434] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + z^2 + z^2/a^8 + z^2/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 36435] -> 
  3*a^4 - 5*a^6 + 4*a^8 + a^10 - 2*a^12 + 2*a^2*z^2 + 5*a^4*z^2 - 
   11*a^6*z^2 + 9*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 
   14*a^6*z^4 + 4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 3*a^4*z^6 - 
   9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 36436] -> a^2 - 2*a^6 + 4*a^8 - a^10 - a^12 + z^2 + 
   2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 
   z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 36437] -> 
  2 - a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^4 - 2/a^2 + z^2 + 
   (4*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 36438] -> 
  5 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 9*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36439] -> 2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + z^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 10*a^8*z^2 - a^10*z^2 - a^12*z^2 + z^4 + a^2*z^4 - 
   8*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 4*a^4*z^6 - 
   4*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 36440] -> 
  3 + a^(-10) - 2/a^8 + 2/a^6 - 3/a^2 + 4*z^2 - (4*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (7*z^2)/a^2 - a^4*z^2 + 3*z^4 + (5*z^4)/a^6 - (4*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - (2*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 36441] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + 
   z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36442] -> 1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 
   z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36443] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36444] -> 
  4*a^8 - 2*a^10 - a^12 + 3*a^6*z^2 + 9*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 - 
   2*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 36445] -> 
  a^6 + 2*a^8 - a^10 - a^12 + a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 
   4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 36446] -> 2*a^4 - a^8 + 2*a^2*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 
   8*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 36447] -> 
  4*a^6 - 3*a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 
   2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 12*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36448] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 - 
   4*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36449] -> -8 - a^(-8) + 4/a^6 - 6/a^4 + 8/a^2 + 
   4*a^2 - 20*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (23*z^2)/a^4 + 
   (26*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (28*z^4)/a^4 + (31*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (17*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 36450] -> 1 - 7*a^2 + 14*a^4 - 7*a^6 + 
   7*z^2 - 33*a^2*z^2 + 52*a^4*z^2 - 19*a^6*z^2 + 19*z^4 - 63*a^2*z^4 + 
   74*a^4*z^4 - 18*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 
   7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36451] -> 
  -1 + 6*a^4 - 4*a^6 - 7*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 17*a^4*z^2 - 
   8*a^6*z^2 - 13*z^4 + (7*z^4)/a^2 - a^2*z^4 + 21*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36452] -> -3 + a^(-2) + 8*a^4 - 5*a^6 - 11*z^2 + 
   (4*z^2)/a^2 + a^2*z^2 + 21*a^4*z^2 - 9*a^6*z^2 - 16*z^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 36453] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 
   9*z^2 + z^2/a^4 + 13*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 36454] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36455] -> 6 - a^(-4) - 2/a^2 - 2*a^4 + 12*z^2 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36456] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   10*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + 
   4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36457] -> 1 - 3/a^4 + 4/a^2 - a^4 + 5*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36458] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 + 4*z^2 - 
   23*a^2*z^2 + 40*a^4*z^2 - 15*a^6*z^2 + 12*z^4 - 42*a^2*z^4 + 55*a^4*z^4 - 
   14*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 39*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 36459] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   6*z^2 + z^2/a^2 + 5*a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36460] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36461] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + 
   z^4/a^4 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 36462] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 + z^2 + 5*a^2*z^2 - 13*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + z^4/a^2 - 5*a^2*z^4 - 11*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 + z^6/a^2 - 8*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 36463] -> 
  8 - a^(-2) - 11*a^2 + 5*a^4 + 31*z^2 - (5*z^2)/a^2 - 50*a^2*z^2 + 
   20*a^4*z^2 + 46*z^4 - (6*z^4)/a^2 - 84*a^2*z^4 + 29*a^4*z^4 + 34*z^6 - 
   (4*z^6)/a^2 - 73*a^2*z^6 + 20*a^4*z^6 + 13*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 36464] -> -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (14*z^2)/a^12 - (14*z^2)/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (18*z^4)/a^10 - 
   (10*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36465] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 10*a^4*z^2 + 5*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36466] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   2*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (9*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36467] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - (17*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (3*z^4)/a^10 - (22*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36468] -> -a^(-14) + 6/a^12 - 11/a^10 + 6/a^8 + 
   a^(-4) - z^2/a^14 + (8*z^2)/a^12 - (16*z^2)/a^10 + (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (9*z^4)/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36469] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36470] -> -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - z^2/a^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 
   12*a^2*z^4 - 18*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36471] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 9*z^2 - 
   (9*z^2)/a^6 + (30*z^2)/a^4 - (28*z^2)/a^2 + 16*z^4 - (10*z^4)/a^6 + 
   (45*z^4)/a^4 - (51*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - 
   (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36472] -> 
  3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 - 3*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36473] -> -3 - a^(-8) + a^(-6) + a^(-4) + 
   a^(-2) + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36474] -> -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 
   19*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (26*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + (32*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36475] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 29*z^2 + 
   (9*z^2)/a^4 - (29*z^2)/a^2 - 9*a^2*z^2 + 51*z^4 + (10*z^4)/a^4 - 
   (45*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 36476] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36477] -> 3 + 2/a^4 - 4/a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36478] -> 1 - a^2 - 2*a^4 + 7*a^6 - 4*a^8 + 
   5*z^2 - 6*a^2*z^2 - 10*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 8*z^4 - 
   13*a^2*z^4 - 17*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 
   14*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 36479] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36480] -> 
  -2 + a^(-2) + 2*a^2 - 2*a^4 + 5*a^6 - 3*a^8 - 4*z^2 + (3*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   8*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36481] -> -2 + a^(-2) + a^2 + 2*a^4 - a^8 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 - a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 - 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 36482] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36483] -> 
  2 - 2*a^2 + a^4 - z^2/a^6 + (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 36484] -> 
  2 - a^(-12) + 3/a^10 - 3/a^8 + 3/a^6 - 3/a^4 + 2*z^2 + (5*z^2)/a^10 - 
   (7*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (7*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 36485] -> 
  -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36486] -> 
  2*a^2 - 3*a^4 + 3*a^6 - a^8 + a^10 - a^12 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 36487] -> 2*a^6 - 2*a^8 + 5*a^10 - 5*a^12 + 
   a^14 + 3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - a^6*z^4 - 4*a^8*z^4 + 9*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 5*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 36488] -> -1 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 - 
   2*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36489] -> 
  1 - 3*a^2 + 3*a^4 + 3*a^6 - 3*a^8 + 5*z^2 - 14*a^2*z^2 + 9*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 19*a^2*z^4 + 3*a^4*z^4 + 19*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 36490] -> a^4 + 2*a^6 - 2*a^8 - 4*z^2 + (2*z^2)/a^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36491] -> 
  -2 + a^(-2) + 3*a^4 + a^6 - 2*a^8 - 6*z^2 + (3*z^2)/a^2 - a^2*z^2 + 
   7*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36492] -> 
  -3 + a^(-2) + 3*a^2 + a^4 - a^8 - 5*z^2 + z^2/a^4 + 4*a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 36493] -> 
  a^4 + 2*a^8 - 2*a^10 + 2*a^2*z^2 - a^4*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36494] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36495] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36496] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36497] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 
   2*a^8 - 3*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 36498] -> 
  5*a^6 - 5*a^8 + a^10 + 2*a^2*z^2 - 7*a^4*z^2 + 17*a^6*z^2 - 6*a^8*z^2 - 
   a^10*z^2 + 5*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36499] -> 2*a^4 - a^6 + a^8 - a^10 + 4*a^4*z^2 - 
   2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + a^4*z^4 - 3*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 + 2*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 3*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36500] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 11*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36501] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 4*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   21*z^4 + z^4/a^4 - (7*z^4)/a^2 - 8*a^2*z^4 + 25*z^6 + (7*z^6)/a^4 - 
   (20*z^6)/a^2 - 5*a^2*z^6 + 12*z^8 + (5*z^8)/a^4 - (18*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 36502] -> 2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36503] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - 3*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 + 
   4*z^4 - 16*a^2*z^4 + 29*a^4*z^4 - 9*a^6*z^4 + 8*z^6 - 25*a^2*z^6 + 
   27*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + 
   z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36504] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 38*z^2 + (3*z^2)/a^4 - (20*z^2)/a^2 - 
   15*a^2*z^2 + 55*z^4 + (12*z^4)/a^4 - (41*z^4)/a^2 - 14*a^2*z^4 + 39*z^6 + 
   (13*z^6)/a^4 - (44*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 36505] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 + (3*z^2)/a^2 - 
   9*a^2*z^2 + 6*a^4*z^2 + 12*z^4 - (3*z^4)/a^2 - 27*a^2*z^4 + 9*a^4*z^4 + 
   24*z^6 - (8*z^6)/a^2 - 27*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 
   12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 36506] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36507] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 
   6*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36508] -> 
  -1 + a^(-4) + a^4 - 2*z^2 - 3*a^2*z^2 + a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36509] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 6*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36510] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 24*a^2*z^4 - 
   9*a^4*z^4 + 3*z^6 + z^6/a^4 - (7*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 36511] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36512] -> -2 - 3/a^4 + 6/a^2 - 11*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36513] -> -a^(-8) + 2/a^4 + z^2 - z^2/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36514] -> -6 + 3/a^2 + 5*a^2 - a^4 - 12*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^6 - 
   z^6/a^4 - (10*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 36515] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 + z^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + z^4/a^2 - 
   6*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6/a^2 - 8*a^2*z^6 - 
   5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 36516] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 4*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 36517] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 + 4*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 7*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 36518] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 2*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   z^4/a^6 - (7*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36519] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   3*z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + 4*z^4 + 
   z^4/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   8*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 36520] -> -6 + 3/a^6 - 9/a^4 + 11/a^2 + 2*a^2 - 
   17*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36521] -> 
  -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 5*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (26*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36522] -> 
  1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (7*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36523] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + a^4 + 
   z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36524] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + z^2/a^8 - 
   (7*z^2)/a^6 + (10*z^2)/a^4 - a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36525] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36526] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36527] -> -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^10 + 
   (9*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (17*z^4)/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36528] -> -4/a^6 + 11/a^4 - 8/a^2 + 2*a^2 - 11*z^2 - 
   (6*z^2)/a^6 + (23*z^2)/a^4 - (15*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - 
   (4*z^4)/a^6 + (21*z^4)/a^4 - (15*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36529] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (17*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36530] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 
   14*z^2 + (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 36531] -> 
  3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 
   z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 36532] -> -2 - 3/a^6 + 7/a^4 - 3/a^2 + 2*a^2 - 
   12*z^2 - (6*z^2)/a^6 + (19*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36533] -> 
  -2 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36534] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 - (12*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^12 + (6*z^4)/a^10 + (3*z^4)/a^8 - (15*z^4)/a^6 - 
   z^4/a^4 + (3*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 36535] -> -2 - 2/a^8 + 5/a^6 - 3/a^4 + a^(-2) + 
   2*a^2 - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (10*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36536] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + z^4/a^4 + (4*z^4)/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - z^6/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 36537] -> 
  1 - a^(-8) + 3/a^6 - 5/a^4 + 4/a^2 - a^2 + 4*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (12*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36538] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   12*z^2 + z^2/a^4 + (2*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 14*z^4 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36539] -> 
  3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36540] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^6 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36541] -> 
  -2/a^14 + 5/a^12 - 4/a^10 - 2/a^8 + 4/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - 
   (10*z^2)/a^10 - (11*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (14*z^4)/a^10 - (21*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 36542] -> 
  -a^(-14) + 2/a^12 - 5/a^8 + 5/a^6 - z^2/a^14 + (6*z^2)/a^12 - 
   (10*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (12*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 36543] -> -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36544] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 2*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 36545] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (7*z^2)/a^10 - (19*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - (24*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36546] -> 1 - a^2 - a^4 + 5*a^6 - 3*a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36547] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + 2*z^2 + z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 36548] -> -a^(-12) + 3/a^10 - 3/a^8 + 
   3/a^6 - 5/a^4 + 4/a^2 + z^2 - z^2/a^12 + (8*z^2)/a^10 - (11*z^2)/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36549] -> -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 
   2*a^2 - 14*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (25*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 36550] -> -1 - a^(-8) + 3/a^6 - 4/a^4 + 
   4/a^2 - a^2 + a^4 - (2*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36551] -> 
  1 + a^(-10) - 2/a^8 + 3/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36552] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36553] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 36554] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36555] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 4*a^2*z^2 - 
   4*a^4*z^2 - a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 
   4*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36556] -> 
  -2 + a^(-2) + a^2 + a^4 + 2*a^6 - 2*a^8 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36557] -> -3 + a^(-2) + 4*a^2 - a^4 + a^6 - a^8 - 
   4*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 36558] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 2*z^2 + a^2*z^2 - 7*a^4*z^2 + 
   9*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 10*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36559] -> 
  a^2 + a^6 - a^8 - 2*z^2 + 3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36560] -> 4*a^4 - 4*a^6 + a^8 + z^2 - 2*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4 + 3*a^2*z^4 - 7*a^4*z^4 + 
   8*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36561] -> 
  2 - 2/a^4 + 2/a^2 - a^4 + 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36562] -> 
  1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 3*z^2 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36563] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + (5*z^4)/a^4 - (9*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36564] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 8*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36565] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 36566] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 + z^2 - z^2/a^4 + 9*a^2*z^2 - 6*a^4*z^2 + 
   9*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + 
   z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36567] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 36568] -> 
  -3 + 8*a^2 - 4*a^4 - 7*z^2 + 15*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36569] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^6*z^2 + 
   z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 36570] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   5*z^2 - z^2/a^6 - z^2/a^4 + (10*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 + (5*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36571] -> 
  -3 + 8*a^2 - 4*a^4 - 6*z^2 + 14*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + 
   z^4/a^2 + 11*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36572] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 8*z^2 + z^2/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + 
   (11*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + (15*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (12*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 36573] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - z^2 - (5*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 36574] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36575] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - z^2/a^6 + 
   (8*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 + 6*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36576] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 36577] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36578] -> 
  -a^(-8) + 2/a^4 + z^2 - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36579] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 
   2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36580] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 10*a^2*z^6 - a^6*z^6 + z^8 + 
   3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 36581] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2 - (5*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36582] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36583] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36584] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 
   4*a^2*z^2 - 8*a^4*z^2 + 16*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   8*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 10*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 36585] -> 
  1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 - a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36586] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 - z^2/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 36587] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 36588] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 + 
   a^2*z^4 - 9*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 36589] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + 
   2*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 7*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 36590] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 + z^2 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[15, Alternating, 36591] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   2*z^2 - z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 - 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36592] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - 8*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 
   6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 36593] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - z^2 + 
   z^2/a^2 - a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - (4*z^4)/a^2 - 
   a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 36594] -> 2 + a^(-4) - a^(-2) - a^2 - 
   2*a^4 + 2*a^6 + z^2 - z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36595] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36596] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 8*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 14*a^4*z^4 - 
   4*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 - 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36597] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 + a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   9*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 36598] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 + z^2 + z^2/a^2 - 6*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 + 7*z^4 - (4*z^4)/a^2 - 5*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36599] -> 
  a^(-4) - 2*a^4 + 2*a^6 - 4*z^2 + z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36600] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 7*a^2*z^2 - 
   10*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 8*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36601] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 + 4*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36602] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36603] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36604] -> 
  12 - a^(-4) - 4/a^2 - 6*a^2 + 49*z^2 - z^2/a^4 - (19*z^2)/a^2 - 
   22*a^2*z^2 + 84*z^4 + (4*z^4)/a^4 - (36*z^4)/a^2 - 29*a^2*z^4 + 73*z^6 + 
   (4*z^6)/a^4 - (32*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 36605] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 + 10*z^2 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 - 9*a^2*z^2 + 21*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (18*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 36606] -> 
  -3 + 8*a^2 - 4*a^4 - 8*z^2 + 16*a^2*z^2 - 4*a^6*z^2 - 9*z^4 + z^4/a^2 + 
   16*a^2*z^4 + 11*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36607] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 10*z^2 - z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   38*z^4 + (2*z^4)/a^4 - (18*z^4)/a^2 - 15*a^2*z^4 + 46*z^6 + (3*z^6)/a^4 - 
   (22*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 36608] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 + 
   z^6 + z^6/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 3*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 36609] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 3*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 + 7*z^4 - (8*z^4)/a^6 + 
   (27*z^4)/a^4 - (19*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + (30*z^6)/a^4 - 
   (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (25*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36610] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + 4*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^2 + 
   4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 36611] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36612] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 + 3*z^4 - (5*z^4)/a^6 + (14*z^4)/a^4 - 
   (8*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + (21*z^6)/a^4 - (23*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36613] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36614] -> -a^(-14) + 2/a^12 + a^(-10) - 
   7/a^8 + 6/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - (3*z^2)/a^10 - 
   (17*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (10*z^4)/a^10 - (23*z^4)/a^8 + (12*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 36615] -> -a^(-14) + 2/a^12 - 3/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + 
   (2*z^2)/a^6 + (6*z^2)/a^4 + (4*z^4)/a^12 - z^4/a^10 - (12*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 36616] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   7*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36617] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (6*z^4)/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36618] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 15*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 36619] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - 8*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36620] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 8*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (8*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36621] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 
   4*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36622] -> 
  3*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36623] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 36624] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36625] -> 7 - 4/a^2 - 2*a^4 + 13*z^2 + 
   (4*z^2)/a^4 - (14*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 5*z^4 + 
   (8*z^4)/a^4 - (18*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36626] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - 5*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   15*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 36627] -> 
  a^2 + a^4 - a^6 + z^2/a^2 - a^2*z^2 + a^4*z^2 + a^6*z^2 - z^4 + z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 36628] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + z^4/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 36629] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36630] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + a^2*z^2 + 
   17*a^4*z^2 - 9*a^6*z^2 + 4*z^4 - 16*a^2*z^4 + 37*a^4*z^4 - 12*a^6*z^4 + 
   11*z^6 - 32*a^2*z^6 + 35*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 24*a^2*z^8 + 
   14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 36631] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + z^2 - 
   (2*z^2)/a^2 + a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 + z^4 + z^4/a^2 - 
   2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 36632] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 
   z^2 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - 6*a^2*z^4 + 
   5*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 2*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 36633] -> 1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36634] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 
   2*a^8*z^2 - 3*z^4 + 8*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36635] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36636] -> -3/a^6 + 5/a^4 - a^(-2) - z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (15*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (16*z^4)/a^6 + (13*z^4)/a^4 + (4*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36637] -> -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36638] -> 1 + (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 
   8*z^4 - z^4/a^2 - 21*a^2*z^4 + 8*a^4*z^4 + 20*z^6 - (7*z^6)/a^2 - 
   25*a^2*z^6 + 5*a^4*z^6 + 18*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 
   7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 36639] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^2 - 2*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 36640] -> 
  5 + 4/a^4 - 8/a^2 + 13*z^2 - z^2/a^6 + (15*z^2)/a^4 - (31*z^2)/a^2 + 
   13*z^4 - (9*z^4)/a^6 + (32*z^4)/a^4 - (48*z^4)/a^2 + 6*z^6 - 
   (12*z^6)/a^6 + (39*z^6)/a^4 - (37*z^6)/a^2 + z^8 - (6*z^8)/a^6 + 
   (25*z^8)/a^4 - (14*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 36641] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 
   9*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36642] -> 
  1 + 6*z^2 - 12*a^2*z^2 + 6*a^4*z^2 + 17*z^4 - (4*z^4)/a^2 - 28*a^2*z^4 + 
   9*a^4*z^4 + 25*z^6 - (8*z^6)/a^2 - 27*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - 
   (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 36643] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   7*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 + 4*z^4 - 17*a^2*z^4 + 29*a^4*z^4 - 
   9*a^6*z^4 + 8*z^6 - 25*a^2*z^6 + 27*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 
   19*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 36644] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 
   39*z^2 + (4*z^2)/a^4 - (24*z^2)/a^2 - 15*a^2*z^2 + 55*z^4 + (12*z^4)/a^4 - 
   (42*z^4)/a^2 - 14*a^2*z^4 + 39*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 36645] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36646] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36647] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 11*z^2 - 
   (6*z^2)/a^6 + (15*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (7*z^4)/a^6 + (18*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36648] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 9*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 36649] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 6*z^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + (16*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 36650] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 + 
   9*z^2 - 35*a^2*z^2 + 45*a^4*z^2 - 15*a^6*z^2 + 16*z^4 - 55*a^2*z^4 + 
   59*a^4*z^4 - 14*a^6*z^4 + 14*z^6 - 50*a^2*z^6 + 40*a^4*z^6 - 6*a^6*z^6 + 
   6*z^8 - 27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 36651] -> 
  a^(-2) - 4*a^2 + 6*a^4 - a^6 - a^8 - z^2 + z^2/a^2 - 6*a^2*z^2 + 
   7*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36652] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 36653] -> -3/a^6 + 5/a^4 - a^(-2) - 8*z^2 - 
   (5*z^2)/a^6 + (13*z^2)/a^4 + 4*a^2*z^2 - 16*z^4 - (4*z^4)/a^6 + 
   (17*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 36654] -> 
  -2 - a^(-8) + 2/a^4 + a^(-2) + a^2 - 5*z^2 - z^2/a^8 + z^2/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36655] -> a^4 + 3*a^8 - 4*a^10 + a^12 + 2*a^4*z^2 + 
   a^6*z^2 + 10*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 + 9*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 + 
   5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 36656] -> -a^4 + 6*a^6 - 3*a^8 - 2*a^10 + a^12 - 
   3*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   5*a^4*z^4 + 19*a^6*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   13*a^6*z^6 + 3*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 36657] -> a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + 
   z^2/a^12 - (9*z^2)/a^10 + (6*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (12*z^4)/a^8 + (15*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36658] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   9*z^2 - z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 + a^2*z^2 - 
   12*z^4 - z^4/a^8 + (6*z^4)/a^6 - (18*z^4)/a^4 + (26*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36659] -> 
  2 + 2/a^4 - 3/a^2 - a^4 + a^6 + 5*z^2 + z^2/a^4 - (7*z^2)/a^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 11*z^4 - (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + 10*z^6 - z^6/a^4 + z^6/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + 
   z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 36660] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^4 + a^6 + z^2 - (3*z^2)/a^4 - 
   a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 4*z^6 + z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6, 
 Knot[15, Alternating, 36661] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 + 24*a^8*z^2 - 
   22*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 + 37*a^8*z^4 - 27*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 29*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 36662] -> 2*a^4 - 3*a^6 + 6*a^8 - 5*a^10 + a^12 + 
   4*a^4*z^2 - 5*a^6*z^2 + 15*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 13*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 36663] -> 
  a^4 - a^6 + 6*a^8 - 7*a^10 + 2*a^12 + 2*a^4*z^2 - a^6*z^2 + 16*a^8*z^2 - 
   14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 15*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 36664] -> a^2 - a^4 + a^6 + 3*a^8 - 4*a^10 + a^12 + 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - 
   z^4 - a^4*z^4 + 3*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 36665] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36666] -> 
  -2/a^14 + 6/a^12 - 4/a^10 - 5/a^8 + 6/a^6 - (3*z^2)/a^14 + (17*z^2)/a^12 - 
   (14*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (15*z^4)/a^12 - (20*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (13*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 36667] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + (11*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (5*z^4)/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + 
   (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 36668] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36669] -> 
  2*a^6 + a^8 - 2*a^10 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 13*a^8*z^2 - 
   7*a^10*z^2 + 4*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 
   4*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36670] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 3*a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 + z^4 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36671] -> 
  -a^(-12) + 4/a^10 - 5/a^8 + 2/a^6 - a^(-4) + 2/a^2 + 2*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36672] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (11*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 36673] -> 
  2 + a^(-10) - 3/a^8 + 6/a^6 - 6/a^4 + a^(-2) + 4*z^2 + z^2/a^10 - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36674] -> -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36675] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   3*z^2 + z^2/a^6 - z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36676] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 36677] -> -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (5*z^4)/a^10 - 
   (13*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 36678] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^10 - z^2/a^8 + (11*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (12*z^4)/a^6 - 
   (11*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36679] -> 1 + a^(-10) - 3/a^8 + 6/a^6 - 7/a^4 + 
   3/a^2 + z^2 + z^2/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36680] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 
   4*a^2*z^4 - 7*a^4*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 36681] -> 
  a^2 - a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 
   z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36682] -> -3 - 3/a^4 + 6/a^2 + 2*a^2 - a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36683] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^14 + (5*z^2)/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 36684] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 + z^2/a^10 - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + z^4/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36685] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - 15*a^6*z^2 + 7*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - 
   22*a^6*z^4 + 9*a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 36686] -> -3 + a^(-8) - 6/a^6 + 5/a^4 + 
   4/a^2 - 5*z^2 + (2*z^2)/a^8 - (13*z^2)/a^6 + (13*z^2)/a^4 + (12*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + z^4/a^8 - (13*z^4)/a^6 + (17*z^4)/a^4 + (17*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + 
   z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 36687] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36688] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36689] -> 
  -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36690] -> 4 - 6*a^2 + 3*a^4 + 7*z^2 - z^2/a^4 + 
   z^2/a^2 - 16*a^2*z^2 + 6*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36691] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 36692] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36693] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - 
   (12*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 36694] -> 3 + 2/a^4 - 4/a^2 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36695] -> 1 - a^2 + 2*a^4 - a^6 - 3*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + z^4/a^2 - a^2*z^4 + 13*a^4*z^4 - 
   6*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36696] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^8 + z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 36697] -> 1 - 2/a^10 + 5/a^8 - 5/a^6 + 3/a^4 - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 + 
   (6*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36698] -> 1 - a^(-10) + 2/a^8 - a^(-6) - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 36699] -> 3*a^4 - 5*a^6 + 5*a^8 - a^10 - 
   a^12 + a^2*z^2 + 6*a^4*z^2 - 11*a^6*z^2 + 10*a^8*z^2 + 4*a^10*z^2 - 
   3*a^12*z^2 + 3*a^2*z^4 + a^4*z^4 - 13*a^6*z^4 + 5*a^8*z^4 + 7*a^10*z^4 - 
   a^12*z^4 + a^2*z^6 - 3*a^4*z^6 - 9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - 
   a^4*z^8 - 2*a^6*z^8 - a^8*z^8, Knot[15, Alternating, 36700] -> 
  a^2 - a^6 + 2*a^8 - a^12 + 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 5*a^8*z^2 + 
   2*a^10*z^2 - a^12*z^2 + z^4 + a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[15, Alternating, 36701] -> 1 + 2/a^6 - 3/a^4 + a^(-2) - a^2 + a^4 + 
   z^2/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36702] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 - 
   z^4/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36703] -> -2 + a^(-2) + 6*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   7*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 21*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 18*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36704] -> 
  5*a^8 - 4*a^10 + 2*a^6*z^2 + 12*a^8*z^2 - 2*a^10*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 3*a^6*z^4 + 7*a^8*z^4 + 4*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 36705] -> 2*a^6 - a^12 + 7*a^6*z^2 + 
   a^8*z^2 + 3*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 36706] -> -a^(-4) + 6*a^2 - 4*a^4 - 
   7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 
   14*z^4 + (2*z^4)/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 36707] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 - 
   2*a^4*z^2 + 8*a^6*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 + 
   7*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 36708] -> -1 + a^(-2) + a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 36709] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36710] -> 
  1 - 2/a^4 + 2/a^2 + 2*a^2 - 2*a^4 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 4*z^6 - z^6/a^4 - (4*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 36711] -> -2 + 4*a^2 + a^4 - 2*a^6 - 
   6*z^2 + z^2/a^2 + 7*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36712] -> 
  -4 + a^(-2) + 4*a^2 + 3*a^4 - 3*a^6 - 10*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 + 
   12*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 + a^2*z^4 + 16*a^4*z^4 - 
   4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36713] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + 2*z^2 + 
   (2*z^2)/a^10 - z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   z^4/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36714] -> 
  -7 + 2/a^6 - 4/a^4 + 6/a^2 + 4*a^2 - 18*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36715] -> 
  -4 + 10*a^2 - 5*a^4 - 11*z^2 + z^2/a^2 + 22*a^2*z^2 - 5*a^4*z^2 - 
   2*a^6*z^2 - 14*z^4 + (5*z^4)/a^2 + 17*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + 2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36716] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 
   2*a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36717] -> 
  2*a^4 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^2 - a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36718] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 36719] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + z^2/a^2 + 8*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 9*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36720] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   10*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36721] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 13*z^4 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 36722] -> 5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 + 
   (3*z^2)/a^4 - (12*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + 
   (6*z^4)/a^4 - (16*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36723] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 12*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 9*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36724] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + z^2/a^16 - (8*z^2)/a^14 - (2*z^2)/a^12 + (13*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + (8*z^4)/a^12 + 
   (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + 
   (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 36725] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 - 7*z^4 + z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + (18*z^4)/a^2 - 
   4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36726] -> -a^(-8) + 2/a^4 - z^2/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36727] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   z^2/a^16 - (12*z^2)/a^14 + (3*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 - 
   z^4/a^16 - (6*z^4)/a^14 + (12*z^4)/a^12 + (20*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 36728] -> -2 - a^(-4) + 2/a^2 + 5*a^2 - 4*a^4 + a^6 - 
   13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36729] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 5*z^2 - z^2/a^4 + (3*z^2)/a^2 - 20*a^2*z^2 + 
   9*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36730] -> 2 + a^(-2) - 4*a^2 + a^4 + a^6 + 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 11*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36731] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   z^2/a^14 + (4*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36732] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (9*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36733] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36734] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 36735] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + z^2/a^12 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (2*z^4)/a^10 + 
   z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - (4*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36736] -> a^(-14) - 4/a^12 + 5/a^10 - 4/a^8 + 2/a^6 + 
   a^(-4) - (7*z^2)/a^12 + (16*z^2)/a^10 - (11*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^10 - (14*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 + (3*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36737] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36738] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36739] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 + z^2/a^2 - 6*a^2*z^2 + 5*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36740] -> 
  -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 2*a^8 - 3*z^2 + (2*z^2)/a^2 - a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36741] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 36742] -> 
  2 + 2/a^6 - 3/a^4 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36743] -> a^2 + 2*a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 
   3*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 15*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 3*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 22*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 36744] -> -a^(-14) + 2/a^12 + a^(-10) - 6/a^8 + 
   4/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (12*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^12 - (3*z^4)/a^10 - (14*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 36745] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 + z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36746] -> -2/a^14 + 5/a^12 - 3/a^10 - 2/a^8 + a^(-6) + 
   2/a^4 - z^2/a^14 + (10*z^2)/a^12 - (7*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (8*z^4)/a^10 - 
   (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 36747] -> 
  1 - 2/a^10 + 4/a^8 - 3/a^6 + 2/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36748] -> a^2 + a^4 - 3*a^6 + 3*a^8 - a^12 + 
   3*a^2*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 36749] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + a^(-2) + a^2 - 3*z^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36750] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36751] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 36752] -> 2*a^4 - a^8 - 2*z^2 + z^2/a^2 - a^2*z^2 + 
   6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36753] -> 
  -2 + a^(-2) + 4*a^4 - a^6 - a^8 - 4*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36754] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36755] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - a^10*z^2 + z^4 - 4*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36756] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36757] -> 
  2 + a^(-8) - 2/a^4 + 2*z^2 + z^2/a^10 - (4*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + z^4/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 36758] -> 2/a^6 - 3/a^4 + 2/a^2 - 2*a^2 + 2*a^4 - 
   3*z^2 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36759] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36760] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 5*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36761] -> 
  a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + z^4 - a^2*z^4 - 
   2*a^4*z^4 + 7*a^6*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36762] -> 
  4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - z^2 + 9*a^2*z^2 - 19*a^4*z^2 + 
   18*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 23*a^4*z^4 + 
   20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 36763] -> -3 + 8*a^2 - 4*a^4 - 9*z^2 + z^2/a^2 + 
   17*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 + 2*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36764] -> -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36765] -> 
  12 - a^(-4) - 4/a^2 - 6*a^2 + 46*z^2 + (2*z^2)/a^4 - (22*z^2)/a^2 - 
   19*a^2*z^2 + 70*z^4 + (15*z^4)/a^4 - (50*z^4)/a^2 - 18*a^2*z^4 + 49*z^6 + 
   (17*z^6)/a^4 - (56*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 36766] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 + 9*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - 
   (12*z^6)/a^4 - (5*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 36767] -> 
  10 - 5/a^2 - 3*a^2 - a^4 + 23*z^2 + (3*z^2)/a^4 - (16*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 16*z^4 + (8*z^4)/a^4 - (20*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 
   z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36768] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 9*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36769] -> 
  1 - 4*a^2 + 6*a^4 - 2*a^8 + 2*z^2 - 9*a^2*z^2 + 12*a^4*z^2 + 5*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - 11*a^2*z^4 + 7*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 36770] -> -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 
   7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36771] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36772] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 
   14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 3*z^6 + z^6/a^4 - 
   (7*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 36773] -> 
  -1 - a^(-6) + 2/a^4 - a^(-2) + 4*a^2 - 2*a^4 + 2*z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36774] -> -3/a^4 + 5/a^2 - a^2 - 6*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36775] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   10*a^2*z^4 - 8*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   10*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 36776] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 + 
   z^4/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   4*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 36777] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36778] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36779] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 + 
   z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - (14*z^6)/a^4 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36780] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (13*z^4)/a^4 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36781] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36782] -> 
  -2 - 3/a^4 + 6/a^2 - 7*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (3*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36783] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + z^4/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 4*z^6 + z^6/a^6 - (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - 
   z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 36784] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36785] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36786] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - z^2/a^14 - (3*z^2)/a^12 + 
   (5*z^2)/a^10 + (7*z^2)/a^6 - (3*z^4)/a^14 + (7*z^4)/a^12 + (4*z^4)/a^10 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 36787] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (10*z^2)/a^10 + (13*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (6*z^4)/a^10 + (9*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - (3*z^6)/a^10 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - 
   z^8/a^6, Knot[15, Alternating, 36788] -> -3 - 3/a^6 + 6/a^4 - a^(-2) + 
   2*a^2 - 13*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 
   20*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36789] -> 
  -2 - a^(-8) + 4/a^4 - 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36790] -> -6 - a^(-4) + 3/a^2 + 9*a^2 - 4*a^4 - 
   16*z^2 + z^2/a^4 + (3*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 18*z^4 + 
   (7*z^4)/a^4 - (7*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (12*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36791] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 + z^2/a^6 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36792] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 36793] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + z^2/a^6 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 36794] -> 
  -2 + a^(-4) - a^(-2) + 4*a^2 - a^6 - 8*z^2 + z^2/a^4 + 7*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^4 + 4*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 36795] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36796] -> -2/a^14 + 5/a^12 - 3/a^10 - 4/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (12*z^2)/a^10 - (11*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - (17*z^4)/a^10 - 
   (20*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36797] -> -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^10 + (15*z^4)/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 36798] -> -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36799] -> 
  1 - 2/a^10 + 3/a^8 - a^(-6) + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - z^2/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36800] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 36801] -> 
  -a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - 3/a^4 + 3/a^2 + z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (12*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 - 
   z^4/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36802] -> 
  -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (6*z^2)/a^12 + 
   z^2/a^10 - (12*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (15*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 36803] -> 2 + a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + z^2 + 
   z^2/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36804] -> 
  -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 10*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36805] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 + 
   z^2/a^4 - (3*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 - z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36806] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36807] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^4 - z^2/a^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 36808] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 36809] -> -2/a^4 + 4/a^2 - 3*a^2 + 3*a^4 - a^6 - z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36810] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 9*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 4*z^4 + (7*z^4)/a^4 - 
   (13*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36811] -> 
  -1 - 3/a^4 + 5/a^2 + a^2 - a^4 + 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36812] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 2*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 36813] -> 3 - a^(-4) - a^4 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 36814] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + 
   (5*z^4)/a^2 + a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36815] -> 
  2*a^4 - a^8 - 3*z^2 + (2*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36816] -> 
  -2 + 6*a^2 - 3*a^4 - 4*z^2 + 8*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 5*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 36817] -> 
  2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (9*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (10*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 36818] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 - 7*z^4 + z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 36819] -> -3 - 3/a^4 + 6/a^2 + 2*a^2 - 
   a^4 - 11*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (5*z^4)/a^4 + (17*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 36820] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 3*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   5*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 36821] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 + z^2/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + 
   (9*z^2)/a^2 - 8*z^4 + z^4/a^8 - (10*z^4)/a^6 + (12*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (10*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 36822] -> -1 - 2/a^4 + 4/a^2 + 3*z^2 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 36823] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 2*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 36824] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   2*z^2 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - z^6/a^4 + (4*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 
   2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36825] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36826] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36827] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   13*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36828] -> -2 + a^(-2) + 5*a^2 - 4*a^4 + a^8 - 5*z^2 - 
   z^2/a^4 + z^2/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 36829] -> -2/a^14 + 5/a^12 - 4/a^10 - a^(-8) + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (15*z^2)/a^12 - (11*z^2)/a^10 - (8*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (15*z^4)/a^10 - 
   (18*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 36830] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 36831] -> 2*a^2 - a^4 - z^2 + 3*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 36832] -> -3 - a^(-4) + 3/a^2 + 5*a^2 - 5*a^4 + 
   2*a^6 - 9*z^2 - (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   11*a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 36833] -> 
  1 + a^2 - a^4 - a^6 + a^8 - 2*z^2 - z^2/a^6 + z^2/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 - z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, Knot[15, Alternating, 36834] -> 
  1 + a^(-4) - a^(-2) - a^6 + a^8 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 36835] -> 4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 2*a^10 - 
   2*z^2 + 10*a^2*z^2 - 19*a^4*z^2 + 20*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 22*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 36836] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 36837] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 6*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - z^4/a^4 + (5*z^4)/a^2 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36838] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 7*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36839] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 
   6*z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36840] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   4*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36841] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 
   9*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 
   15*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 - 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 36842] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 
   3*z^2 - a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 36843] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (13*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36844] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 6*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36845] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (2*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36846] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 + 
   (2*z^2)/a^4 + 4*a^2*z^2 - a^4*z^2 - 11*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36847] -> 4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 12*z^2 - 
   z^2/a^4 - (6*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 16*z^4 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 11*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 36848] -> 
  -1 - 3/a^4 + 5/a^2 + a^2 - a^4 + 4*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 36849] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*z^6 + z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36850] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 - z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36851] -> -3 + 7*a^2 - 2*a^4 - a^6 - 7*z^2 + 
   14*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 + 
   11*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 36852] -> -a^(-2) + 5*a^2 - 3*a^4 - (2*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 36853] -> 
  3 - a^(-2) - a^2 - a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36854] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + z^4/a^12 - (4*z^4)/a^10 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + 
   (4*z^6)/a^8 + (10*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36855] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (7*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36856] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^10 - z^4/a^8 + (11*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36857] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36858] -> 1 - a^(-6) + 2/a^2 - a^2 - z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 36859] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36860] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 - z^4 + a^2*z^4 - 4*a^4*z^4 + 14*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 36861] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 + (5*z^4)/a^6 - 
   (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36862] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 
   4*a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 15*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 36863] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36864] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 - 2*z^2 - z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36865] -> 1 + 2*z^2 + z^2/a^10 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 36866] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^8 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36867] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 36868] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 36869] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 36870] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 10*z^2 - z^2/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 36871] -> 
  1 + z^2/a^2 - 2*a^2*z^2 + a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 36872] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + 11*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^6 + (4*z^4)/a^4 + 13*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 36873] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36874] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36875] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36876] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 
   4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36877] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36878] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 8*z^2 + 
   (2*z^2)/a^2 + a^4*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 36879] -> 
  1 - 2*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36880] -> 1 - 2*z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36881] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 11*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 15*z^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36882] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 36883] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 12*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 
   14*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 - 7*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 36884] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 8*z^2 + (4*z^2)/a^2 + 2*a^2*z^2 + a^6*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   3*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 36885] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - z^2 - 
   2*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 10*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 36886] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 4*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36887] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 8*z^2 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 36888] -> 1 + 2*z^2 - z^2/a^4 + z^2/a^2 - 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 36889] -> 
  -2/a^10 + 6/a^8 - 4/a^6 - 3/a^4 + 4/a^2 - (6*z^2)/a^10 + (20*z^2)/a^8 - 
   (13*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - 
   (11*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 36890] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 3*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36891] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (6*z^4)/a^6 + (16*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36892] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   3*z^2 - z^2/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (16*z^4)/a^6 - 
   (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36893] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36894] -> -2 + a^(-2) + 5*a^4 - 3*a^6 - 7*z^2 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 36895] -> -2/a^10 + 7/a^8 - 8/a^6 + 
   2/a^4 + 2/a^2 - (5*z^2)/a^10 + (21*z^2)/a^8 - (20*z^2)/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - (16*z^4)/a^6 - (14*z^4)/a^4 + 
   (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 36896] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - z^2/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36897] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 8*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 + 4*a^2*z^2 - 13*z^4 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36898] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36899] -> -3 + 8*a^2 - 4*a^4 - 9*z^2 + z^2/a^4 - 
   z^2/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 11*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36900] -> 3 - 11*a^2 + 16*a^4 - 7*a^6 + 10*z^2 - 
   41*a^2*z^2 + 55*a^4*z^2 - 19*a^6*z^2 + 20*z^4 - 68*a^2*z^4 + 75*a^4*z^4 - 
   18*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 36901] -> -1 + a^(-2) - 4*a^2 + 10*a^4 - 
   5*a^6 - 4*z^2 + (2*z^2)/a^2 - 9*a^2*z^2 + 24*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + 
   (5*z^4)/a^2 - 11*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 36902] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 + (4*z^2)/a^6 - 
   (14*z^2)/a^4 + (15*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (15*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36903] -> 
  a^(-10) - 6/a^8 + 6/a^6 + a^(-4) - a^(-2) - (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (16*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   (5*z^4)/a^8 + (17*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36904] -> 
  -5 - a^(-6) - 2/a^4 + 8/a^2 + a^2 - 14*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36905] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36906] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (11*z^4)/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36907] -> 1 - a^(-4) + 4*a^2 - 3*a^4 + 2*z^2 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36908] -> 2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (15*z^2)/a^14 + (4*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (14*z^4)/a^14 + (21*z^4)/a^12 + (26*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (19*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 36909] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 - (2*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (13*z^4)/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36910] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + (2*z^2)/a^16 - (11*z^2)/a^14 + (13*z^2)/a^10 + (7*z^2)/a^8 - 
   z^4/a^16 - (11*z^4)/a^14 + (15*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^16 - z^6/a^14 + (15*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 36911] -> a^(-16) - 3/a^14 + 2/a^12 - 2/a^10 + 2/a^8 + 
   a^(-6) - (6*z^2)/a^14 + (5*z^2)/a^12 + z^2/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (8*z^4)/a^12 + (7*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 36912] -> 
  3 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36913] -> 
  4 - a^(-4) - 3*a^2 + 2*a^4 - a^6 + 8*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36914] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (14*z^2)/a^14 + (9*z^2)/a^12 + (9*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (10*z^4)/a^14 + (22*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 36915] -> a^(-16) - 2/a^14 - 2/a^12 + 3/a^10 + 
   a^(-6) - (7*z^2)/a^14 + (2*z^2)/a^12 + (10*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (14*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 36916] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 2/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (19*z^2)/a^14 + (7*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - 
   (14*z^4)/a^14 + (19*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 36917] -> 
  a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - (3*z^2)/a^14 - (3*z^2)/a^12 + 
   (8*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (5*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 36918] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36919] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36920] -> 2 + a^(-10) - 2/a^8 + 4/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 - 
   (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (9*z^4)/a^8 + (14*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 - z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36921] -> -5 + a^(-6) + 7*a^2 - 2*a^4 - 15*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + 14*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36922] -> 
  2 - 2*a^2 + a^4 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 5*a^2*z^2 + 
   2*a^4*z^2 + z^4 - (4*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36923] -> 2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + 
   a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 10*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36924] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36925] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - z^4/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 36926] -> 
  -1 - 3/a^6 + 6/a^4 - 2/a^2 + a^2 - 6*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 36927] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + (2*z^2)/a^16 - (18*z^2)/a^14 + 
   (11*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (17*z^4)/a^14 + 
   (30*z^4)/a^12 + (23*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (24*z^6)/a^12 + (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 36928] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - z^2/a^8 + (2*z^2)/a^4 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36929] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (6*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (8*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 36930] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^8 - (9*z^2)/a^4 + (12*z^2)/a^2 - 
   3*z^4 + (4*z^4)/a^8 - (5*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36931] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36932] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 36933] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + (2*z^2)/a^16 - (13*z^2)/a^14 + 
   (5*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (12*z^4)/a^14 + 
   (19*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 36934] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 + 
   (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36935] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) - (6*z^2)/a^14 + 
   (3*z^2)/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (7*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 36936] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 36937] -> -2/a^6 + 4/a^4 - a^(-2) - a^2 + a^4 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 36938] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 18*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   (9*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 36939] -> 1 - a^(-8) + a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   a^4 - z^2 + z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 36940] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + (2*z^2)/a^16 - (17*z^2)/a^14 + 
   (10*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^16 - 
   (12*z^4)/a^14 + (24*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (18*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 36941] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (6*z^2)/a^14 - z^2/a^12 + 
   (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (7*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 36942] -> -a^(-10) + a^(-8) + a^(-2) - (3*z^2)/a^10 + 
   (5*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (9*z^4)/a^8 + (5*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 36943] -> -3 + 3/a^4 - 4/a^2 + 8*a^2 - 3*a^4 - 
   10*z^2 + (8*z^2)/a^4 - (14*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + 
   (8*z^4)/a^4 - (17*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36944] -> 
  2 + a^(-6) - 2/a^2 - 2*a^2 + 3*a^4 - a^6 + 5*z^2 + z^2/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 36945] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36946] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36947] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 36948] -> 
  -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^6 - 
   z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 36949] -> 1 + a^(-10) - 2/a^8 + 3/a^6 - 2/a^4 - 
   a^(-2) + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 36950] -> a^(-6) - a^(-2) - a^2 + 3*a^4 - a^6 - 
   3*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 36951] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 36952] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - z^4 - z^4/a^2 + 
   5*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 36953] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 36954] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - z^4/a^4 + z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 36955] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (5*z^2)/a^16 - (35*z^2)/a^14 + (32*z^2)/a^12 + (13*z^2)/a^10 - 
   (2*z^4)/a^16 - (35*z^4)/a^14 + (67*z^4)/a^12 + (22*z^4)/a^10 - 
   (4*z^6)/a^16 - (8*z^6)/a^14 + (58*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 36956] -> 2/a^16 - 6/a^14 + 2/a^12 + 
   2/a^10 + a^(-8) + z^2/a^16 - (15*z^2)/a^14 + (9*z^2)/a^12 + 
   (15*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - (10*z^4)/a^14 + 
   (20*z^4)/a^12 + (27*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 36957] -> a^(-16) - 3/a^14 + a^(-10) + 
   2/a^8 - (8*z^2)/a^14 + (2*z^2)/a^12 + (12*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (5*z^4)/a^14 + (11*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 36958] -> -a^(-18) + 6/a^16 - 11/a^14 + 3/a^12 + 
   4/a^10 - z^2/a^18 + (12*z^2)/a^16 - (42*z^2)/a^14 + (29*z^2)/a^12 + 
   (16*z^2)/a^10 + (3*z^4)/a^16 - (44*z^4)/a^14 + (62*z^4)/a^12 + 
   (25*z^4)/a^10 - (3*z^6)/a^16 - (13*z^6)/a^14 + (54*z^6)/a^12 + 
   (19*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 36959] -> 
  a^(-16) - 4/a^14 + 3/a^12 - a^(-10) + a^(-8) + a^(-6) - z^2/a^16 - 
   (5*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 + (8*z^4)/a^12 + (6*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 36960] -> -2 + 3/a^4 - 4/a^2 + 6*a^2 - 2*a^4 - 9*z^2 + 
   (8*z^2)/a^4 - (14*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + 
   (9*z^4)/a^4 - (20*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 36961] -> 
  -2 + a^(-6) - a^(-2) + 4*a^2 - a^4 - 2*z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 36962] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36963] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^4 + 4*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 36964] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 36965] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 36966] -> -4 - 2/a^6 + 5/a^4 - a^(-2) + 
   3*a^2 - 16*z^2 - (3*z^2)/a^8 + (6*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   14*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 + (20*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 36967] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   6*z^2 - (2*z^2)/a^8 + z^2/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36968] -> -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 4*z^2 - 
   z^2/a^8 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 36969] -> 
  -1 + 2/a^2 - a^2 + a^6 - z^2 - z^2/a^8 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 36970] -> 
  -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36971] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 36972] -> a^(-4) - a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 36973] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + (9*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 36974] -> 
  -2/a^6 + 3/a^4 + (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36975] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - 3*a^2 + 2*a^4 + 3*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36976] -> -1 + a^(-4) + a^2 - a^4 + a^6 - z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 36977] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (6*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36978] -> 
  -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 - 7*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36979] -> -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 
   2*a^8 - 8*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36980] -> 
  -3 - 2/a^6 + 4/a^4 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 36981] -> -3 - a^(-6) + a^(-4) + 3/a^2 + 
   a^4 - 4*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36982] -> 1 - 2/a^10 + 5/a^8 - 2/a^6 - 3/a^4 + 2/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 36983] -> 
  -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36984] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 36985] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 36986] -> 
  4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - z^2 - z^2/a^2 + 14*a^2*z^2 - 24*a^4*z^2 + 
   17*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 21*a^2*z^4 - 27*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 15*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 36987] -> 
  -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 36988] -> 3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 2*a^10 - 
   z^2 + 7*a^2*z^2 - 15*a^4*z^2 + 19*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 9*a^2*z^4 - 20*a^4*z^4 + 22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 36989] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 36990] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 36991] -> 3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 
   5*a^4*z^2 - 9*a^6*z^2 + 16*a^8*z^2 - 6*a^10*z^2 + 2*a^2*z^4 - 9*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 36992] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 
   a^2*z^2 + a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 36993] -> 
  a^(-2) - 3*a^2 + 3*a^4 + 2*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 36994] -> -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 
   20*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 36995] -> -1 - a^(-6) + a^(-4) + 2/a^2 - a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 36996] -> 
  2 - 2/a^10 + 5/a^8 - 2/a^6 - 2/a^4 + 3*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 36997] -> -a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + a^(-2) + 
   a^2 - z^2 - z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 36998] -> 3*a^2 - 3*a^4 + a^6 - 8*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 36999] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37000] -> 
  1 - a^(-8) + 4/a^6 - 3/a^4 - a^(-2) + a^2 - z^2 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 37001] -> 
  4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 + a^4*z^2 + 10*a^6*z^2 - 
   11*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 + a^4*z^4 + 8*a^6*z^4 - 12*a^8*z^4 + 
   9*a^10*z^4 - a^2*z^6 + 3*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 37002] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + z^4/a^2 - 
   2*a^4*z^4 + a^6*z^4 + z^6 - z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37003] -> 
  1 + a^(-6) - 3/a^4 + 3/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37004] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 + 
   3*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 37005] -> 
  a^(-2) - 4*a^2 + 6*a^4 - a^6 - a^8 - 3*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   9*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37006] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 9*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - 
   (11*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 37007] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37008] -> 1 - 2/a^10 + 5/a^8 - 2/a^6 - 3/a^4 + 2/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37009] -> 
  2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 37010] -> 
  2*a^4 - a^8 + z^2 - z^2/a^2 + 3*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37011] -> 
  3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37012] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*a^2*z^2 - 
   5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 9*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37013] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 4*a^4*z^2 - 
   6*a^6*z^2 + 12*a^8*z^2 - 5*a^10*z^2 + 2*a^2*z^4 - a^4*z^4 - 6*a^6*z^4 + 
   15*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 37014] -> 3 - 7*a^2 + 5*a^4 + 3*a^6 - 
   3*a^8 + 6*z^2 - 18*a^2*z^2 + 10*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 
   20*a^2*z^4 + 3*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 
   6*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 37015] -> 
  a^(-2) - 4*a^2 + 5*a^4 + a^6 - 2*a^8 - z^2 + z^2/a^2 - 7*a^2*z^2 + 
   8*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 
   4*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37016] -> 
  a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 3*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + z^4 - a^2*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   3*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37017] -> -7 - 3/a^6 + 2/a^4 + 7/a^2 + 2*a^2 - 
   25*z^2 - (7*z^2)/a^6 + (12*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 31*z^4 - 
   (5*z^4)/a^6 + (19*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 20*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (5*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37018] -> 
  -5 - a^(-8) - a^(-6) + 3/a^4 + 3/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   z^2/a^6 + (11*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (8*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37019] -> -11 - 4/a^6 + 4/a^4 + 8/a^2 + 4*a^2 - 
   30*z^2 - (8*z^2)/a^6 + (18*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 34*z^4 - 
   (5*z^4)/a^6 + (22*z^4)/a^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37020] -> 
  -3 - 2/a^8 + a^(-6) + 4/a^4 - a^(-2) + 2*a^2 - 7*z^2 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 37021] -> 
  -3 - a^(-10) + 2/a^6 + a^(-2) + 2*a^2 - 4*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 37022] -> 
  -2 + 2/a^8 - 11/a^6 + 13/a^4 - a^(-2) - 9*z^2 + (7*z^2)/a^8 - 
   (35*z^2)/a^6 + (43*z^2)/a^4 + (2*z^2)/a^2 - 12*z^4 + (5*z^4)/a^8 - 
   (41*z^4)/a^6 + (60*z^4)/a^4 + (9*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (19*z^6)/a^6 + (43*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (15*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37023] -> -4 + a^(-8) - 5/a^6 + 2/a^4 + 7/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (7*z^2)/a^4 + (19*z^2)/a^2 - 
   2*a^2*z^2 - 3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (10*z^4)/a^4 + (23*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 37024] -> 
  -3*a^6 + 17*a^8 - 19*a^10 + 6*a^12 - 16*a^6*z^2 + 72*a^8*z^2 - 
   66*a^10*z^2 + 17*a^12*z^2 - 29*a^6*z^4 + 112*a^8*z^4 - 86*a^10*z^4 + 
   17*a^12*z^4 - 23*a^6*z^6 + 90*a^8*z^6 - 55*a^10*z^6 + 7*a^12*z^6 - 
   8*a^6*z^8 + 41*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 37025] -> 
  -a^4 + 3*a^6 + 6*a^8 - 11*a^10 + 4*a^12 - 5*a^4*z^2 + 13*a^6*z^2 + 
   18*a^8*z^2 - 28*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 18*a^6*z^4 + 
   22*a^8*z^4 - 27*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 
   15*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 37026] -> 
  -1 - 5/a^6 + 8/a^4 - a^(-2) - 4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (7*z^2)/a^6 + (22*z^2)/a^4 - z^2/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   z^4/a^6 + (24*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (14*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 37027] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 3*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (9*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 37028] -> a^6 + 6*a^8 - 9*a^10 + 3*a^12 - 3*a^4*z^2 + 
   9*a^6*z^2 + 17*a^8*z^2 - 24*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 
   15*a^6*z^4 + 20*a^8*z^4 - 25*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   13*a^6*z^6 + 14*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   6*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 37029] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - a^2*z^2 + 
   a^4*z^2 + 10*a^6*z^2 + a^8*z^2 - 9*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 37030] -> -a^6 + 11*a^8 - 13*a^10 + 
   4*a^12 - 5*a^6*z^2 + 39*a^8*z^2 - 35*a^10*z^2 + 8*a^12*z^2 - 4*a^4*z^4 - 
   4*a^6*z^4 + 51*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   3*a^6*z^6 + 35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 37031] -> -a^4 + 5*a^6 - 5*a^10 + 2*a^12 - 3*a^4*z^2 + 
   14*a^6*z^2 + 3*a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 16*a^6*z^4 + 6*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 37032] -> -2/a^14 + 9/a^12 - 13/a^10 + 
   4/a^8 + 3/a^6 - (7*z^2)/a^14 + (32*z^2)/a^12 - (41*z^2)/a^10 + 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (5*z^4)/a^14 + (40*z^4)/a^12 - 
   (57*z^4)/a^10 - z^4/a^8 + (16*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - 
   (42*z^6)/a^10 - (10*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - 
   (15*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 37033] -> -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - 
   (3*z^2)/a^14 + (12*z^2)/a^12 - (7*z^2)/a^10 - (14*z^2)/a^8 + 
   (12*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (9*z^4)/a^10 - 
   (20*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (14*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 37034] -> 3 - 13*a^2 + 20*a^4 - 9*a^6 + 
   16*z^2 - 58*a^2*z^2 + 73*a^4*z^2 - 24*a^6*z^2 + 29*z^4 - 96*a^2*z^4 + 
   97*a^4*z^4 - 22*a^6*z^4 + 23*z^6 - 83*a^2*z^6 + 61*a^4*z^6 - 8*a^6*z^6 + 
   8*z^8 - 40*a^2*z^8 + 18*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 37035] -> 
  -2 + a^(-2) - 3*a^2 + 11*a^4 - 6*a^6 - 9*z^2 + (5*z^2)/a^2 - 9*a^2*z^2 + 
   30*a^4*z^2 - 11*a^6*z^2 - 14*z^4 + (8*z^4)/a^2 - 14*a^2*z^4 + 30*a^4*z^4 - 
   6*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 13*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37036] -> 3 + a^(-4) - 3/a^2 - 2*a^2 + 5*a^4 - 3*a^6 + 
   5*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 - 3*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 
   z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 4*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 37037] -> -2/a^14 + 7/a^12 - 7/a^10 - 
   a^(-8) + 3/a^6 + a^(-4) - (3*z^2)/a^14 + (15*z^2)/a^12 - (13*z^2)/a^10 - 
   (8*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (12*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 37038] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + 
   (5*z^2)/a^12 - (9*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 37039] -> 3 - 9*a^2 + 9*a^4 + a^6 - 3*a^8 + 10*z^2 - 
   27*a^2*z^2 + 18*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + 12*z^4 - 32*a^2*z^4 + 
   8*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 20*a^2*z^6 - 5*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 37040] -> 
  -1 + a^(-2) - 3*a^2 + 6*a^4 - 2*a^8 - 3*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 
   11*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 
   5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37041] -> 
  1 + a^(-4) - 2/a^2 + 2*a^4 - a^8 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 37042] -> 3 - 12*a^2 + 18*a^4 - 8*a^6 + 13*z^2 - 
   48*a^2*z^2 + 61*a^4*z^2 - 20*a^6*z^2 + 24*z^4 - 79*a^2*z^4 + 80*a^4*z^4 - 
   18*a^6*z^4 + 19*z^6 - 69*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 37043] -> -2 + a^(-2) - 2*a^2 + 9*a^4 - 
   5*a^6 - 11*z^2 + (5*z^2)/a^2 - 3*a^2*z^2 + 23*a^4*z^2 - 9*a^6*z^2 - 
   18*z^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 37044] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (11*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (14*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 37045] -> 
  -6 + 2/a^2 + 5*a^2 + 3*a^4 - 3*a^6 - 20*z^2 + (7*z^2)/a^2 + 12*a^2*z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 - 24*z^4 + (9*z^4)/a^2 + 7*a^2*z^4 + 15*a^4*z^4 - 
   4*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37046] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37047] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + (6*z^2)/a^4 - (9*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + (7*z^4)/a^4 - (14*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 37048] -> 2/a^4 - 4/a^2 + 6*a^2 - 3*a^4 - 
   6*z^2 + (8*z^2)/a^4 - (14*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + 
   (10*z^4)/a^4 - (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37049] -> 
  a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 + 2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37050] -> 1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + a^4 - 
   z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37051] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 37052] -> -4 - a^(-8) - a^(-6) + 4/a^4 + 
   a^(-2) + 2*a^2 - 9*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + (8*z^2)/a^4 + 
   4*a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 37053] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37054] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 11*z^2 - 
   (4*z^2)/a^2 - 3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37055] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 11*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   15*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37056] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 5*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37057] -> -7 - 4/a^6 + 6/a^4 + 3/a^2 + 3*a^2 - 
   22*z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - 
   (4*z^4)/a^6 + (16*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37058] -> 
  -3 - 2/a^8 + 2/a^6 + 2/a^4 + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37059] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 37060] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37061] -> -2*a^6 + 13*a^8 - 14*a^10 + 4*a^12 - 
   9*a^6*z^2 + 48*a^8*z^2 - 39*a^10*z^2 + 8*a^12*z^2 - 4*a^4*z^4 - 
   8*a^6*z^4 + 63*a^8*z^4 - 40*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   2*a^6*z^6 + 41*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 37062] -> -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 
   4*a^4*z^2 + 14*a^6*z^2 + 7*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 18*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 37063] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 2*a^4*z^2 + 8*a^6*z^2 + 12*a^8*z^2 - 
   14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 14*a^6*z^4 + 
   11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 37064] -> 3*a^6 - 3*a^10 + a^12 - a^2*z^2 + 
   2*a^4*z^2 + 8*a^6*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   4*a^4*z^4 + 8*a^6*z^4 - 3*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 37065] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - 
   a^4*z^2 + 7*a^6*z^2 + 9*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   4*a^4*z^4 + 12*a^6*z^4 + 11*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 11*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 37066] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - 
   3*a^4*z^2 + 9*a^6*z^2 + 11*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   5*a^4*z^4 + 15*a^6*z^4 + 14*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 12*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 37067] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + 
   a^10 - 2*z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 7*a^2*z^4 - 11*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 37068] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 4*a^4*z^2 + 
   10*a^6*z^2 + 14*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   6*a^4*z^4 + 19*a^6*z^4 + 16*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   15*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 37069] -> 3*a^6 - 3*a^10 + a^12 - a^2*z^2 + 
   10*a^6*z^2 + 2*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 11*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 37070] -> 
  -1 - 2/a^8 + 6/a^6 - 8/a^4 + 6/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (14*z^2)/a^6 - (21*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (15*z^4)/a^6 - (25*z^4)/a^4 + (15*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (15*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 37071] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 11*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 37072] -> 3 - 11*a^2 + 16*a^4 - 7*a^6 + 
   12*z^2 - 43*a^2*z^2 + 53*a^4*z^2 - 17*a^6*z^2 + 21*z^4 - 71*a^2*z^4 + 
   72*a^4*z^4 - 17*a^6*z^4 + 18*z^6 - 64*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 
   7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 37073] -> 
  -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 11*z^2 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   20*a^4*z^2 - 8*a^6*z^2 - 17*z^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 22*a^4*z^4 - 
   5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37074] -> 3 - 8*a^2 + 8*a^4 - 2*a^8 + 8*z^2 - 
   22*a^2*z^2 + 16*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 9*z^4 - 26*a^2*z^4 + 
   9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 16*a^2*z^6 - 2*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 37075] -> -1 + a^(-2) - 2*a^2 + 5*a^4 - 
   a^6 - a^8 - 4*z^2 + (3*z^2)/a^2 - 6*a^2*z^2 + 10*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 37076] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   a^4*z^2 + a^6*z^2 + a^8*z^2 - 2*z^4 + 5*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37077] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - (10*z^2)/a^10 - (8*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (14*z^4)/a^12 - (12*z^4)/a^10 - 
   (18*z^4)/a^8 + (11*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 37078] -> -5 + 2/a^2 + 3*a^2 + 4*a^4 - 3*a^6 - 
   20*z^2 + (7*z^2)/a^2 + 12*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 25*z^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 
   2*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 37079] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (5*z^2)/a^12 - z^2/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^4)/a^12 - z^4/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 37080] -> -4 + 2/a^2 + 2*a^2 + 2*a^4 - a^8 - 9*z^2 + 
   (4*z^2)/a^2 + 8*a^4*z^2 - a^8*z^2 - 7*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37081] -> 
  -1 + 2/a^8 - 3/a^6 - 2/a^4 + 5/a^2 - 4*z^2 + (8*z^2)/a^8 - (12*z^2)/a^6 - 
   (9*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - (20*z^4)/a^6 - 
   (13*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 37082] -> 
  a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37083] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 3*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37084] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - z^2 + 
   a^2*z^2 - a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 37085] -> 
  -1 + 2*a^2 + 2*a^6 - 2*a^8 + z^2 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37086] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37087] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 13*z^2 - 
   (6*z^2)/a^2 - 10*a^4*z^2 + 4*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37088] -> -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37089] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   7*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   8*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37090] -> a^6 + 4*a^8 - 5*a^10 + a^12 - a^4*z^2 + 
   7*a^6*z^2 + 10*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 12*a^6*z^4 + 9*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 37091] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + 
   a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 + 6*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 37092] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 37093] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^8 - z^4/a^6 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37094] -> 2*a^2 - a^4 - 3*z^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - z^4 - z^4/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   2*a^6*z^4 + a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 37095] -> 
  7*a^8 - 8*a^10 + 2*a^12 - 4*a^4*z^2 + 8*a^6*z^2 + 19*a^8*z^2 - 
   18*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 18*a^6*z^4 + 
   20*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 15*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 37096] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   a^2*z^2 - 2*a^4*z^2 + 15*a^6*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 2*a^4*z^4 + 15*a^6*z^4 + 2*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 7*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 37097] -> 
  -6 + a^(-4) + a^(-2) + 7*a^2 - 2*a^4 - 18*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   15*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37098] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 10*a^2*z^4 - 20*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 37099] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 - 
   z^2/a^2 + 16*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 - z^4/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 10*a^2*z^6 - 6*a^4*z^6 + z^8 + 3*a^2*z^8, 
 Knot[15, Alternating, 37100] -> -2/a^14 + 7/a^12 - 8/a^10 + a^(-8) + 2/a^6 + 
   a^(-4) - (3*z^2)/a^14 + (16*z^2)/a^12 - (17*z^2)/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (17*z^4)/a^10 - 
   (14*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 37101] -> -1 + a^(-2) - 2*a^2 + 4*a^4 + a^6 - 2*a^8 - 
   6*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37102] -> 
  -5 + 2/a^2 + 5*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 15*z^2 + (5*z^2)/a^2 + 
   16*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37103] -> 2 + a^(-4) - 2/a^2 - 2*a^2 + 
   3*a^4 - a^8 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37104] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37105] -> -1 + a^(-4) + a^4 - 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 10*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 37106] -> 
  2 - 4*a^4 + 5*a^6 - 3*a^8 + a^10 + 2*z^2 - z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 37107] -> -2/a^14 + 7/a^12 - 9/a^10 + 
   3/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + (17*z^2)/a^12 - (20*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (15*z^4)/a^12 - 
   (21*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (13*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 37108] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 37109] -> -5 + 2/a^2 + 5*a^2 - a^4 + a^6 - 
   a^8 - 16*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37110] -> 
  2 + a^(-4) - 2/a^2 - a^2 + a^4 + a^6 - a^8 + 4*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 37111] -> 
  -1 + a^(-2) - a^2 + 3*a^4 - a^8 - 7*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37112] -> a^2 + a^4 - a^6 - a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 10*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + 
   z^6/a^2 + 9*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 37113] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 13*z^2 + z^2/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 
   17*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 37114] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37115] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37116] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 3*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - 
   (10*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37117] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 37118] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 9*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 37119] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37120] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + z^4/a^4 + 17*a^2*z^4 - 3*a^4*z^4 - 
   a^6*z^4 - 3*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 37121] -> -1 + 3*a^2 - a^6 - z^2 + 
   a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   13*a^4*z^4 - 5*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37122] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 37123] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37124] -> -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   20*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 37125] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - (3*z^2)/a^10 - (8*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (4*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 37126] -> -3 + a^(-2) + 3*a^2 + a^4 - a^8 - 9*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37127] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 13*z^4 - z^4/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 37128] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + z^2 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 - 
   (15*z^4)/a^4 - z^6/a^10 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37129] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37130] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37131] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 4*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (5*z^4)/a^6 + (14*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37132] -> -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37133] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 
   2*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 12*a^8*z^2 - 4*a^10*z^2 + 3*a^2*z^4 - 
   5*a^4*z^4 - 6*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 37134] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 - z^4/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37135] -> -1 + a^(-2) + 2*a^4 - a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (5*z^4)/a^2 + 
   6*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37136] -> 5 - 4/a^6 + 8/a^4 - 5/a^2 - 5*a^2 + 2*a^4 + 
   6*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 - 11*a^2*z^2 + 
   5*a^4*z^2 - z^4/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 37137] -> -1 - 2/a^8 + 3/a^6 - a^(-4) + 
   2/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 + z^2/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (2*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 37138] -> -a^(-10) + a^(-8) + a^(-4) - a^2 + a^4 - 
   z^2 + (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4, 
 Knot[15, Alternating, 37139] -> -3*a^2 + 6*a^4 + 3*a^6 - 7*a^8 + 2*a^10 - 
   9*a^2*z^2 + 18*a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   6*a^2*z^4 + 21*a^4*z^4 + 12*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   a^2*z^6 + 13*a^4*z^6 + 8*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 37140] -> -1 + 5*a^4 - a^6 - 3*a^8 + 
   a^10 - 3*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*z^4 - 
   z^4/a^2 + 5*a^2*z^4 + 10*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + z^6 + 4*a^2*z^6 + 
   5*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 37141] -> 
  -3*a^2 + 7*a^4 - 4*a^8 + a^10 - 8*a^2*z^2 + 17*a^4*z^2 + 7*a^6*z^2 - 
   11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 - 5*a^2*z^4 + 19*a^4*z^4 + 10*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 12*a^4*z^6 + 7*a^6*z^6 - 
   3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 37142] -> -1 + a^2 + 2*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   2*z^2 + a^2*z^2 + 8*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 3*a^2*z^4 + 8*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 37143] -> 
  1 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 5*z^4 + z^4/a^4 + 
   z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 37144] -> a^4 - a^6 + 6*a^8 - 7*a^10 + 
   2*a^12 + 2*a^4*z^2 - a^6*z^2 + 16*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 15*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 37145] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 + 2*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 
   4*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 37146] -> -2*a^2 + 7*a^4 - 4*a^6 - 3*a^2*z^2 + 
   14*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 9*a^4*z^4 - 
   13*a^6*z^4 + 5*a^8*z^4 - z^6 + 6*a^2*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37147] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37148] -> 3 - 8*a^2 + 7*a^4 + 2*a^6 - 3*a^8 + 8*z^2 - 
   21*a^2*z^2 + 11*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 9*z^4 - 23*a^2*z^4 + 
   a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 7*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 37149] -> 
  -1 + a^(-2) - 2*a^2 + 4*a^4 + a^6 - 2*a^8 - 4*z^2 + (3*z^2)/a^2 - 
   6*a^2*z^2 + 9*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   9*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37150] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - (9*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 37151] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 6*a^4*z^2 - 10*a^6*z^2 + 15*a^8*z^2 - 
   5*a^10*z^2 + 2*a^2*z^4 - 10*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37152] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - 
   a^4*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + z^4 - 4*a^4*z^4 + a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 37153] -> 1 - 5*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - 11*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37154] -> 3 + 2/a^4 - 4/a^2 + 4*z^2 + z^2/a^8 - 
   z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37155] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (6*z^4)/a^4 - 
   (11*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37156] -> 
  -1 + a^(-2) + a^2 + z^2/a^6 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37157] -> 3 - a^(-2) - 2*a^4 + a^6 + 5*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37158] -> 
  2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37159] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37160] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37161] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37162] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 22*z^2 - 
   (3*z^2)/a^2 - 34*a^2*z^2 + 14*a^4*z^2 + 37*z^4 - (5*z^4)/a^2 - 
   67*a^2*z^4 + 24*a^4*z^4 + 32*z^6 - (4*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 37163] -> 
  3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 + 6*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   20*a^2*z^2 + 9*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37164] -> -2*a^2 + 13*a^4 - 16*a^6 + 6*a^8 - 
   9*a^2*z^2 + 47*a^4*z^2 - 62*a^6*z^2 + 23*a^8*z^2 - 12*a^2*z^4 + 
   68*a^4*z^4 - 103*a^6*z^4 + 34*a^8*z^4 - 6*a^2*z^6 + 48*a^4*z^6 - 
   88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 37165] -> -1 + 4*a^2 + 2*a^4 - 8*a^6 + 4*a^8 - 4*z^2 + 
   12*a^2*z^2 + 5*a^4*z^2 - 28*a^6*z^2 + 13*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   a^4*z^4 - 35*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 37166] -> 
  a^2 + 5*a^4 - 9*a^6 + 4*a^8 - 2*z^2 + 7*a^2*z^2 + 7*a^4*z^2 - 26*a^6*z^2 + 
   12*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 2*a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37167] -> 3*a^2 - 5*a^6 + 3*a^8 + z^2 - z^2/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 - 10*a^6*z^2 + 6*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 11*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37168] -> 10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 31*z^2 + 
   (4*z^2)/a^4 - (23*z^2)/a^2 - 6*a^4*z^2 + 44*z^4 + (4*z^4)/a^4 - 
   (29*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 33*z^6 + z^6/a^4 - (16*z^6)/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 37169] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 18*z^2 + z^2/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - 
   2*a^2*z^2 - 3*a^4*z^2 + 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 37170] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 13*z^2 - (2*z^2)/a^6 + (18*z^2)/a^4 - 
   (32*z^2)/a^2 + 19*z^4 - (5*z^4)/a^6 + (31*z^4)/a^4 - (56*z^4)/a^2 + 
   15*z^6 - (4*z^6)/a^6 + (28*z^6)/a^4 - (53*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 37171] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 
   27*z^2 - (5*z^2)/a^2 - 41*a^2*z^2 + 16*a^4*z^2 + 46*z^4 - (8*z^4)/a^2 - 
   74*a^2*z^4 + 25*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 37172] -> 
  5 - 8*a^2 + 4*a^4 + 8*z^2 - z^2/a^4 + (2*z^2)/a^2 - 22*a^2*z^2 + 
   9*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37173] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   4*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (22*z^2)/a^4 - 6*z^4 + (3*z^4)/a^8 - 
   (22*z^4)/a^6 + (33*z^4)/a^4 + (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (13*z^6)/a^6 + (26*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37174] -> -2 + 2/a^8 - 9/a^6 + 9/a^4 + a^(-2) - 
   7*z^2 + (7*z^2)/a^8 - (32*z^2)/a^6 + (37*z^2)/a^4 + z^2/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (38*z^4)/a^6 + (54*z^4)/a^4 + (4*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (39*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37175] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 3*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - (8*z^2)/a^6 + (19*z^2)/a^4 - z^2/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (20*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 37176] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 
   2*a^4 + 19*z^2 + (4*z^2)/a^4 - (19*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   38*z^4 + (4*z^4)/a^4 - (28*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 32*z^6 + 
   z^6/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 
   5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 37177] -> 
  6 + 2/a^4 - 6/a^2 - a^4 + 15*z^2 + z^2/a^6 - (2*z^2)/a^4 - (9*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 18*z^4 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 37178] -> 
  5 - a^(-6) + 4/a^4 - 6/a^2 - a^2 + 9*z^2 - (4*z^2)/a^6 + (17*z^2)/a^4 - 
   (22*z^2)/a^2 + 5*z^4 - (4*z^4)/a^6 + (25*z^4)/a^4 - (34*z^4)/a^2 + 
   4*a^2*z^4 - 3*z^6 - z^6/a^6 + (15*z^6)/a^4 - (28*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 37179] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - (12*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (13*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 37180] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 18*z^2 + 
   (4*z^2)/a^4 - (15*z^2)/a^2 - 6*a^2*z^2 + 40*z^4 + (6*z^4)/a^4 - 
   (30*z^4)/a^2 - 14*a^2*z^4 + 46*z^6 + (4*z^6)/a^4 - (28*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 37181] -> 
  -a^4 + a^6 + 10*a^8 - 13*a^10 + 4*a^12 - 5*a^4*z^2 + 2*a^6*z^2 + 
   42*a^8*z^2 - 39*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 5*a^6*z^4 + 
   59*a^8*z^4 - 40*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 
   40*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 37182] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 - 4*a^4*z^2 + 16*a^6*z^2 + 
   7*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   20*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 37183] -> 1 - a^2 + 2*a^4 - a^6 + 5*z^2 - 18*a^2*z^2 + 
   22*a^4*z^2 - 8*a^6*z^2 + 8*z^4 - 41*a^2*z^4 + 56*a^4*z^4 - 20*a^6*z^4 + 
   5*z^6 - 36*a^2*z^6 + 61*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 37184] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + z^2 + z^2/a^2 - 
   13*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   22*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37185] -> 2/a^8 - 6/a^6 + 5/a^4 + (5*z^2)/a^8 - 
   (17*z^2)/a^6 + (17*z^2)/a^4 - (4*z^2)/a^2 + (8*z^4)/a^8 - (33*z^4)/a^6 + 
   (37*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - (31*z^6)/a^6 + (43*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 37186] -> a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (5*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37187] -> -5 - 2/a^8 + 5/a^6 - 6/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - (22*z^2)/a^4 + (22*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 - z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37188] -> -3 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 + 
   a^(-2) + 2*a^2 - 8*z^2 - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 37189] -> -2*a^4 + 5*a^6 + 5*a^8 - 11*a^10 + 4*a^12 - 
   9*a^4*z^2 + 16*a^6*z^2 + 26*a^8*z^2 - 34*a^10*z^2 + 8*a^12*z^2 - 
   12*a^4*z^4 + 19*a^6*z^4 + 46*a^8*z^4 - 38*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 14*a^6*z^6 + 37*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 37190] -> -2*a^4 + 8*a^6 - 3*a^8 - 4*a^10 + 2*a^12 - 
   2*a^2*z^2 - 3*a^4*z^2 + 20*a^6*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 - a^4*z^4 + 22*a^6*z^4 + 7*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 37191] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 36*z^2 + (9*z^2)/a^4 - (32*z^2)/a^2 - 
   12*a^2*z^2 + 66*z^4 + (12*z^4)/a^4 - (54*z^4)/a^2 - 21*a^2*z^4 + 63*z^6 + 
   (6*z^6)/a^4 - (42*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 37192] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - z^2 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + 
   (4*z^4)/a^4 - (16*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + 8*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37193] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 19*z^2 + (2*z^2)/a^6 - z^2/a^4 - (13*z^2)/a^2 - 
   7*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - (7*z^4)/a^2 - 9*a^2*z^4 + 
   16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 37194] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 5*z^2 + 
   z^2/a^6 - (8*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37195] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 15*z^2 + 
   (4*z^2)/a^2 + 19*a^2*z^2 - 7*a^4*z^2 - 18*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 + 
   2*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 8*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37196] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37197] -> 
  -2/a^14 + 5/a^12 - a^(-10) - 6/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (7*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (13*z^4)/a^10 - (14*z^4)/a^8 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 37198] -> -a^(-14) + 2/a^12 + a^(-10) - 3/a^8 - 
   2/a^6 + 4/a^4 - z^2/a^14 + (5*z^2)/a^12 + z^2/a^10 - (7*z^2)/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 37199] -> 
  3 - 5*a^2 - 2*a^4 + 11*a^6 - 6*a^8 + 10*z^2 - 16*a^2*z^2 - 12*a^4*z^2 + 
   34*a^6*z^2 - 11*a^8*z^2 + 12*z^4 - 23*a^2*z^4 - 22*a^4*z^4 + 34*a^6*z^4 - 
   6*a^8*z^4 + 6*z^6 - 18*a^2*z^6 - 18*a^4*z^6 + 14*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 37200] -> a^(-2) - 3*a^2 + a^4 + 6*a^6 - 4*a^8 + 
   (3*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 15*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37201] -> 1 - a^2 + a^4 + a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37202] -> 
  1 - a^2 + a^4 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37203] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   19*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37204] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 37205] -> 
  a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + a^6*z^2 + 9*a^8*z^2 - 6*a^10*z^2 + 
   6*a^4*z^4 - 18*a^6*z^4 + 33*a^8*z^4 - 11*a^10*z^4 + 11*a^4*z^6 - 
   33*a^6*z^6 + 34*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 24*a^6*z^8 + 
   14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 37206] -> a^2 + a^8 - a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 4*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 37207] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 
   z^2 - 11*a^2*z^2 + 22*a^4*z^2 - 9*a^6*z^2 + 8*z^4 - 29*a^2*z^4 + 
   41*a^4*z^4 - 12*a^6*z^4 + 12*z^6 - 38*a^2*z^6 + 36*a^4*z^6 - 6*a^6*z^6 + 
   6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 37208] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 5*z^2 + z^2/a^2 + a^2*z^2 + 
   10*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 + 14*a^4*z^4 - 4*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 37209] -> 
  3*a^2 - 3*a^4 + a^6 + 5*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 2*z^4 + 
   7*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 
   3*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 37210] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 - a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 
   8*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + 13*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 4*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37211] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 37212] -> 
  14 + a^(-4) - 8/a^2 - 6*a^2 + 47*z^2 + (7*z^2)/a^4 - (32*z^2)/a^2 - 
   17*a^2*z^2 + 68*z^4 + (17*z^4)/a^4 - (58*z^4)/a^2 - 17*a^2*z^4 + 48*z^6 + 
   (17*z^6)/a^4 - (58*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 37213] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 
   14*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + 
   (7*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - 
   (13*z^6)/a^4 - (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 37214] -> 
  -4 + 3/a^2 + a^2 + a^4 - 13*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 2*a^4*z^2 - 
   12*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (4*z^6)/a^4 + (10*z^6)/a^2 - 7*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 37215] -> 
  6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 14*z^2 + (4*z^2)/a^4 - (15*z^2)/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 10*z^4 + (8*z^4)/a^4 - (20*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37216] -> 3 + a^(-6) - 3/a^4 + a^(-2) - a^4 + 8*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37217] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   11*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 
   12*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 37218] -> -2 + a^(-4) + 2*a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37219] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + z^2/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 
   4*a^6*z^2 - z^4 - z^4/a^2 + 9*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37220] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 3*a^2*z^2 - 7*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 + 4*z^4 + (2*z^4)/a^2 - 12*a^2*z^4 - 9*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 11*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 37221] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^6*z^4 - 4*z^6 - 
   z^6/a^2 - 5*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 37222] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + (5*z^2)/a^8 - (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - 
   (10*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 37223] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + (2*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37224] -> 
  -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 - 5*z^2 - z^2/a^4 + z^2/a^2 + 
   20*a^2*z^2 - 9*a^4*z^2 - z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 25*a^2*z^4 - 
   9*a^4*z^4 + 4*z^6 + z^6/a^4 - (7*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37225] -> -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37226] -> 
  -1 + a^(-8) - 5/a^4 + 6/a^2 - 3*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (11*z^4)/a^6 - 
   (13*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 37227] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37228] -> -4 + 3/a^2 + a^2 + a^4 - 6*z^2 + z^2/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37229] -> 2*a^2 - 2*a^6 + a^8 + 5*a^2*z^2 - 
   4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 + 4*a^2*z^4 - 
   8*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37230] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (7*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37231] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 12*z^2 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 14*z^4 + z^4/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 37232] -> 
  -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 6*a^4*z^2 + 9*a^6*z^2 + 24*a^8*z^2 - 
   22*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 + 
   23*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 15*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 37233] -> -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 6*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37234] -> 
  -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 20*z^2 + (4*z^2)/a^6 - 
   (15*z^2)/a^4 + (23*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (18*z^4)/a^4 + (30*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 13*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (19*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37235] -> 
  -4 - 2/a^8 + 5/a^6 - 5/a^4 + 5/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37236] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 18*a^2*z^2 - 19*a^4*z^2 + 
   13*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 22*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37237] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   12*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 37238] -> 
  -2*a^4 + 8*a^6 - 4*a^8 - 2*a^10 + a^12 - 2*a^2*z^2 - 2*a^4*z^2 + 
   19*a^6*z^2 - 3*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 17*a^6*z^4 + 2*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 37239] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 - 2*z^2 + z^2/a^6 - (5*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 37240] -> 
  -2*a^4 + 8*a^6 - 4*a^8 - 2*a^10 + a^12 - 3*a^2*z^2 - a^4*z^2 + 20*a^6*z^2 - 
   4*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 4*a^4*z^4 + 
   18*a^6*z^4 + 2*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 7*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 37241] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 
   5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 
   5*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37242] -> 
  3 - 5*a^2 - a^4 + 9*a^6 - 5*a^8 + 8*z^2 - 13*a^2*z^2 - 9*a^4*z^2 + 
   26*a^6*z^2 - 8*a^8*z^2 + 9*z^4 - 18*a^2*z^4 - 17*a^4*z^4 + 26*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 37243] -> a^(-2) - 3*a^2 + 2*a^4 + 4*a^6 - 3*a^8 - 
   2*z^2 + (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37244] -> -a^(-14) + 2/a^12 + a^(-10) - 4/a^8 + 
   3/a^4 - z^2/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (10*z^2)/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (12*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 37245] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 6*a^2*z^4 - 13*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 37246] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 37247] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37248] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37249] -> 1 + z^2 - 2*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37250] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 - 4*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - 9*a^2*z^4 + 2*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 37251] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37252] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 - 2*a^4*z^2 + 
   8*a^6*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37253] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37254] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37255] -> 
  -4 + 3/a^2 + a^2 + a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37256] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^4 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37257] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (7*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - 
   (24*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37258] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (3*z^4)/a^6 - (11*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37259] -> 3 - 5*a^2 + 7*a^6 - 4*a^8 + 6*z^2 - 
   10*a^2*z^2 - 9*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 8*z^4 - 14*a^2*z^4 - 
   17*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 37260] -> 
  a^(-2) - 2*a^2 + 5*a^6 - 3*a^8 + z^2 + z^2/a^2 - 7*a^2*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + (2*z^4)/a^2 - 10*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 37261] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 37262] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37263] -> 
  a^4 + a^6 - a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37264] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   5*z^2 + z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37265] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2 - 3*a^4*z^2 + 8*a^6*z^2 - a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 37266] -> 1 + a^(-6) - 3/a^4 + 2/a^2 + 
   a^2 - a^4 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37267] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 37268] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 2*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37269] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + 
   z^2/a^2 + 8*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (4*z^4)/a^2 + 
   9*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 + a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 37270] -> -1 + 4*a^2 - 2*a^4 - z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37271] -> a^2 + a^6 - a^8 - 3*z^2 + z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37272] -> 
  3 - 4*a^2 + 2*a^4 + 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 11*a^2*z^2 + 
   5*a^4*z^2 + z^4 - (4*z^4)/a^4 + (8*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 
   4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 37273] -> a^(-2) - a^4 + a^6 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37274] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37275] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37276] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 - (21*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - (14*z^6)/a^4 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37277] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 30*z^2 - z^2/a^4 - (10*z^2)/a^2 - 14*a^2*z^2 + 
   66*z^4 + (4*z^4)/a^4 - (31*z^4)/a^2 - 24*a^2*z^4 + 66*z^6 + (4*z^6)/a^4 - 
   (31*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 37278] -> 
  4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 18*z^2 - z^2/a^4 - (4*z^2)/a^2 - 
   9*a^2*z^2 + 26*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - 10*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 37279] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - z^2/a^4 + 12*a^2*z^2 - 7*a^4*z^2 + 
   9*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + 
   z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37280] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37281] -> 
  -a^(-8) + a^(-6) + a^(-2) - (5*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 + 
   (4*z^4)/a^8 - (23*z^4)/a^6 + (40*z^4)/a^4 - (15*z^4)/a^2 + (4*z^6)/a^8 - 
   (26*z^6)/a^6 + (47*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + 
   (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 37282] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 + (6*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37283] -> 
  -4 - 5/a^4 + 10/a^2 - 4*z^2 - (2*z^2)/a^6 + (11*z^2)/a^2 + 9*z^4 - 
   (5*z^4)/a^6 + (21*z^4)/a^4 - (19*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + 
   (26*z^6)/a^4 - (39*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 37284] -> -3/a^4 + 5/a^2 - a^2 - z^2 - z^2/a^6 + 
   (6*z^2)/a^2 - 7*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37285] -> -1 + 3*a^2 - a^6 - z^2 + a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - a^2*z^4 + 14*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37286] -> a^(-10) - 5/a^8 + 5/a^6 - (2*z^2)/a^10 + 
   z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (7*z^4)/a^10 + (24*z^4)/a^8 - 
   (21*z^4)/a^6 + (9*z^4)/a^4 - (5*z^6)/a^10 + (29*z^6)/a^8 - (37*z^6)/a^6 + 
   (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 37287] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37288] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37289] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37290] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37291] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 10*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 37292] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 13*a^4*z^4 + 13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 37293] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 + a^2*z^2 + 9*a^4*z^2 - 20*a^6*z^2 + 
   9*a^8*z^2 - 8*a^2*z^4 + 28*a^4*z^4 - 41*a^6*z^4 + 12*a^8*z^4 - 
   12*a^2*z^6 + 38*a^4*z^6 - 36*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 37294] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 
   2*a^2*z^2 + a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 7*a^2*z^4 - 
   14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37295] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 37296] -> 
  5*a^2 - 7*a^4 + 3*a^6 - 2*z^2 + 11*a^2*z^2 - 13*a^4*z^2 - 2*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 7*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37297] -> 2 - a^2 - a^6 + a^8 + 3*z^2 - z^2/a^2 - 
   a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 37298] -> 2*a^4 - a^6 + a^8 - a^10 + z^2 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37299] -> -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - 
   (2*z^2)/a^14 + (12*z^2)/a^12 - (14*z^2)/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - 
   (15*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 37300] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (12*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 37301] -> -3 - a^(-4) + 3/a^2 + 5*a^2 - 
   5*a^4 + 2*a^6 - 15*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37302] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 16*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (11*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 37303] -> 
  2 - a^2 - a^4 + a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37304] -> 1 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 37305] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   12*z^4 - (6*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 37306] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 37307] -> 
  2 - a^2 - a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   7*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37308] -> 
  2 - a^2 - a^4 + a^6 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + a^6*z^2 - 
   8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 37309] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (16*z^4)/a^4 - z^6/a^10 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37310] -> 
  1 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37311] -> 
  -3 - 2/a^6 + 4/a^4 + 2*a^2 - 5*z^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37312] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 4*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - a^2*z^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37313] -> 4 - 2/a^2 + 3*a^2 - 7*a^4 + 3*a^6 + 14*z^2 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 + 20*z^4 - (4*z^4)/a^2 - 
   8*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 11*z^6 - z^6/a^2 - 12*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 37314] -> 
  3 - a^(-4) + a^(-2) - a^2 - 3*a^4 + 2*a^6 + 8*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 8*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 5*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37315] -> a^(-8) - 4/a^6 + 2/a^4 + 3/a^2 - a^2 + z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (6*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 37316] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + 
   (11*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 37317] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 + 4*z^4 - z^4/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + (2*z^6)/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37318] -> 
  2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - 
   (9*z^2)/a^6 + (9*z^2)/a^4 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (10*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37319] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (8*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37320] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 6*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37321] -> 3 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 - 2*a^2 + 
   a^4 + 5*z^2 - z^2/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 37322] -> -a^(-10) + a^(-8) + a^(-6) - 
   a^(-4) + a^(-2) - a^2 + a^4 - z^2 + (3*z^2)/a^8 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 37323] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + (2*z^6)/a^2 - 
   5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37324] -> -2 + 3*a^2 + 2*a^4 - 3*a^8 + a^10 - 5*z^2 + 
   5*a^2*z^2 + 11*a^4*z^2 - 6*a^8*z^2 + a^10*z^2 - 3*z^4 - z^4/a^2 + 
   7*a^2*z^4 + 14*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 + z^6 + 5*a^2*z^6 + 
   7*a^4*z^6 + 3*a^6*z^6, Knot[15, Alternating, 37325] -> 
  -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 7*z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + 
   (3*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + 
   (7*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37326] -> 
  2 + a^(-8) - 2/a^6 + a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37327] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   9*z^4 + z^4/a^6 - (5*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37328] -> 2*a^2 - a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37329] -> 
  a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 2*z^2 + 5*a^2*z^2 + 7*a^4*z^2 - 19*a^6*z^2 + 
   8*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 2*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37330] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37331] -> 6 - 3/a^2 - a^2 - a^4 + 14*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 15*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 37332] -> 
  2*a^6 + a^8 - 2*a^10 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 13*a^8*z^2 - 
   7*a^10*z^2 + 4*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 
   4*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37333] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + 3*a^6*z^2 + 
   6*a^8*z^2 - 3*a^10*z^2 + z^4 + a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 37334] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + z^2/a^2 + 16*a^2*z^2 - 
   21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 
   26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37335] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37336] -> 
  1 + a^(-6) - 3/a^4 + 2/a^2 + a^2 - a^4 + 4*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37337] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37338] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37339] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   4*z^2 + z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 37340] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + 
   a^6 + 3*z^2 - (3*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   z^4/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 37341] -> 1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (9*z^2)/a^8 - (12*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4 - z^4/a^10 + (4*z^4)/a^8 - (8*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37342] -> 
  2 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - 2*a^2 + a^4 + 5*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37343] -> -a^(-10) + 2/a^8 - a^(-6) + a^(-2) - a^2 + 
   a^4 + (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 37344] -> 
  -2 + 5*a^2 - 3*a^4 + 4*a^6 - 4*a^8 + a^10 - 4*z^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4/a^2 + 9*a^2*z^4 - 
   9*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 5*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 37345] -> 
  -2/a^14 + 5/a^12 - 3/a^10 - 2/a^6 + 2/a^4 + a^(-2) - z^2/a^14 + 
   (9*z^2)/a^12 - (7*z^2)/a^10 - z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + (3*z^4)/a^12 - (7*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 37346] -> -a^(-14) + 2/a^12 - a^(-8) - 
   a^(-6) + 2/a^2 + z^2 + (3*z^2)/a^12 - (3*z^2)/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 37347] -> 
  3 - 5*a^2 + 2*a^4 + 4*a^8 - 3*a^10 + 7*z^2 - 11*a^2*z^2 - a^6*z^2 + 
   13*a^8*z^2 - 4*a^10*z^2 + 5*z^4 - 12*a^2*z^4 - 6*a^4*z^4 - 6*a^6*z^4 + 
   10*a^8*z^4 - a^10*z^4 + z^6 - 6*a^2*z^6 - 5*a^4*z^6 - 5*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 37348] -> 
  a^(-2) - 2*a^2 + a^4 + a^6 + 2*a^8 - 2*a^10 + (2*z^2)/a^2 - 5*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 - 2*z^4 + z^4/a^2 - 6*a^2*z^4 - 
   5*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 37349] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 - z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37350] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 + 
   (2*z^2)/a^4 + 18*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   22*a^2*z^4 - 8*a^4*z^4 + 2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37351] -> -4 + 2/a^2 + 4*a^2 - a^4 - 4*z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37352] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37353] -> 
  -3/a^4 + 5/a^2 - a^2 - 4*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37354] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 
   4*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 37355] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 + z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37356] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37357] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37358] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37359] -> 
  -3 - 2/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 + (3*z^6)/a^6 - (15*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37360] -> 
  1 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   13*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37361] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - z^4/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37362] -> -3 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + 
   2*a^2 - 13*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37363] -> -3 - a^(-10) + 2/a^8 - 2/a^4 + 3/a^2 + 
   2*a^2 - 8*z^2 - z^2/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 37364] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - 5*a^2*z^4 - 9*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 8*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 37365] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   3*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37366] -> -4 + a^(-4) - a^(-2) + 9*a^2 - 4*a^4 - 
   13*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + 
   (8*z^4)/a^4 - (12*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37367] -> 
  -1 + a^(-6) - 2/a^4 + a^(-2) + 4*a^2 - 2*a^4 - z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37368] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37369] -> -2/a^14 + 5/a^12 - 3/a^10 - 2/a^8 + a^(-6) + 
   2/a^4 - (3*z^2)/a^14 + (14*z^2)/a^12 - (10*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - 
   (12*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 37370] -> a^(-2) - a^2 - 3*a^4 + 8*a^6 - 
   4*a^8 - 4*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 - 17*a^4*z^2 + 20*a^6*z^2 - 
   4*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 26*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37371] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 7*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37372] -> -3 + 2/a^2 + 3*a^2 - 6*a^4 + 9*a^6 - 4*a^8 - 
   13*z^2 + (5*z^2)/a^2 + 16*a^2*z^2 - 24*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 
   18*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 31*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 16*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37373] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + a^4 + 3*a^6 - 2*a^8 + 2*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37374] -> 1 - a^2 + a^4 + a^6 - a^8 + 5*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 37375] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 4*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37376] -> 
  -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37377] -> 
  -2 + a^(-4) - 2/a^2 + 8*a^2 - 4*a^4 - 5*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   20*a^2*z^2 - 8*a^4*z^2 - 8*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37378] -> 1 + a^(-6) - 2/a^4 + 3*a^2 - 2*a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37379] -> a^4 + 2*a^6 - 2*a^8 + 2*a^2*z^2 - 
   5*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 
   11*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 37380] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   12*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   17*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37381] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37382] -> 
  -a^(-8) + 2/a^4 + z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 - z^4/a^10 - (3*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - z^8/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[15, Alternating, 37383] -> -1 + 4*a^2 - 2*a^4 + 3*z^2 - 
   (4*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37384] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 37385] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + (4*z^4)/a^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37386] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 37387] -> -3 + a^(-4) - a^(-2) + 7*a^2 - 
   3*a^4 - 11*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 
   14*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37388] -> 
  -2 + a^(-4) + 2*a^2 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37389] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37390] -> -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37391] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37392] -> -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (5*z^2)/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 37393] -> 
  -3 + 2/a^2 + 3*a^2 - 5*a^4 + 7*a^6 - 3*a^8 - 9*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37394] -> -1 + a^(-4) - 2/a^2 + 6*a^2 - 
   3*a^4 - 5*z^2 + z^2/a^4 - (3*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37395] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 17*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 + 2*z^4 + a^2*z^4 - 15*a^4*z^4 + 15*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 37396] -> 
  1 - a^4 + 2*a^6 - a^8 - z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^2 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37397] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 
   z^2/a^4 + 8*a^2*z^2 - 5*a^4*z^2 + z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37398] -> 2*a^2 - a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^6*z^2 - 2*z^4 + (2*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 37399] -> -1 + 3*a^2 - a^6 - 8*z^2 + 
   z^2/a^2 + 12*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 
   12*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 37400] -> a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37401] -> 2*a^2 - 2*a^6 + a^8 - 2*z^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 2*a^4*z^4 - 
   14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37402] -> 1 + a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - 
   3*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37403] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 21*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (17*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 37404] -> -5 - 4/a^4 + 9/a^2 + a^2 - 14*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (24*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37405] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (13*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 37406] -> -3 + a^(-6) - a^(-4) + 2/a^2 + 
   a^2 + a^4 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37407] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (12*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (19*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 37408] -> 
  a^(-2) - a^2 - a^4 + 4*a^6 - 2*a^8 + z^2/a^2 - 2*a^2*z^2 - 8*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 16*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37409] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 
   2*a^4 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 37410] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37411] -> 2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 
   3*a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 18*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 37412] -> 
  3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 2*z^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37413] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 37414] -> 
  2 - a^2 - a^4 + a^6 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37415] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 19*z^2 - 
   (3*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 28*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (14*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37416] -> 
  -6 - a^(-6) + 2/a^4 + 3/a^2 + 2*a^2 + a^4 - 16*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 + (3*z^2)/a^2 + 4*a^4*z^2 - 18*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37417] -> 6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 12*z^2 + 
   (5*z^2)/a^4 - (18*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 13*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37418] -> 
  -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37419] -> -a^(-8) + 3/a^4 - a^(-2) - a^2 + a^4 - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37420] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 6*z^2 + 
   (6*z^2)/a^8 - (15*z^2)/a^6 + (3*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (6*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37421] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-2) - 
   a^2 + a^4 + (3*z^2)/a^8 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 - (3*z^4)/a^6 - (3*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 37422] -> a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 37423] -> 
  3 + a^(-6) - 3/a^4 + a^(-2) - a^4 + 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37424] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - 
   z^4/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37425] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 
   5*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37426] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37427] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 6*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 
   a^2*z^2 - 9*z^4 - z^4/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37428] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 
   4*a^2*z^2 + 7*a^4*z^2 + 15*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   2*a^2*z^4 + 20*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   5*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 37429] -> -1 + a^2 + 3*a^4 - 3*a^8 + 
   a^10 - 2*z^2 + 3*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37430] -> -1 + 8*a^2 - 11*a^4 + 6*a^6 - a^8 - 3*z^2 + 
   16*a^2*z^2 - 25*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   16*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37431] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + 
   6*a^6*z^2 + 8*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 
   9*a^6*z^4 + 8*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 + 
   5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 37432] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 
   7*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   8*a^2*z^4 - 17*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 37433] -> -6 + a^(-4) + 10*a^2 - 4*a^4 - 21*z^2 + 
   (3*z^2)/a^4 + 27*a^2*z^2 - 8*a^4*z^2 - 25*z^4 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37434] -> 
  -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 2*a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37435] -> -a^(-14) + 2/a^12 + 3/a^10 - 11/a^8 + 
   8/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 + z^2/a^10 - (24*z^2)/a^8 + 
   (17*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - 
   (26*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 37436] -> -2/a^14 + 6/a^12 - 5/a^10 - a^(-8) + 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (16*z^2)/a^12 - (14*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (18*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 37437] -> 
  a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 
   19*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 22*a^8*z^4 - 
   5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 37438] -> -1 + a^(-2) + a^2 - 4*a^4 + 8*a^6 - 4*a^8 - 
   6*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 19*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37439] -> 
  a^2 - 3*a^4 + 5*a^6 - 2*a^10 + z^2 + a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 37440] -> 
  -5 + 2/a^2 + 8*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 15*z^2 + (5*z^2)/a^2 + 
   22*a^2*z^2 - 27*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   25*a^2*z^4 - 31*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37441] -> 2*a^2 - 7*a^4 + 12*a^6 - 6*a^8 + 
   z^2 + 5*a^2*z^2 - 19*a^4*z^2 + 26*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 + 3*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 12*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 37442] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 
   a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 
   3*a^4*z^4 - 6*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 37443] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 - z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37444] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 2*z^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37445] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37446] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37447] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 25*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (5*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 37448] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 + z^2/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (21*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 37449] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (7*z^4)/a^10 - (6*z^4)/a^8 + (19*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 37450] -> -2 - a^(-4) + 2/a^2 + 5*a^2 - 4*a^4 + a^6 + 
   2*z^2 - (2*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 
   10*z^4 - (2*z^4)/a^4 + 7*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 
   z^6/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 37451] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37452] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - z^2 + 
   6*a^2*z^2 + 2*a^4*z^2 - 18*a^6*z^2 + 9*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 
   3*a^4*z^4 - 25*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 37453] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 9*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 37454] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 
   z^2/a^2 - 10*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 37455] -> 
  -3 - 2/a^8 + 4/a^6 - 2/a^4 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37456] -> 
  -4 - a^(-4) + 3/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 27*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37457] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - (6*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^2, 
 Knot[15, Alternating, 37458] -> -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 
   9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 37459] -> 
  a^(-4) - a^(-2) - a^2 + 4*a^4 - 2*a^6 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37460] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 37461] -> -a^(-14) + 2/a^12 - a^(-8) - 
   3/a^6 + 4/a^4 - z^2/a^14 + (6*z^2)/a^12 - z^2/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (9*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 37462] -> 
  -2/a^14 + 5/a^12 - 3/a^10 - a^(-8) + a^(-4) + a^(-2) - z^2/a^14 + 
   (9*z^2)/a^12 - (6*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (7*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 37463] -> a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*a^8 - 
   2*a^10 - 2*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 
   2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 37464] -> -3 + 2/a^2 + a^2 + 2*a^4 - 3*a^6 + 4*a^8 - 
   2*a^10 - 7*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 7*z^4 + z^4/a^2 + 3*a^2*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 37465] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 
   9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 37466] -> -5 + 3/a^2 + 3*a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37467] -> 
  1 - 5*a^4 + 12*a^6 - 9*a^8 + 2*a^10 + 6*a^2*z^2 - 20*a^4*z^2 + 28*a^6*z^2 - 
   12*a^8*z^2 + a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 28*a^4*z^4 + 22*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 12*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37468] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 9*a^4*z^2 - 
   5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 37469] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (20*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37470] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 17*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37471] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 37472] -> 1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 6*z^4 + z^4/a^4 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37473] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37474] -> 
  3 + 2/a^4 - 4/a^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37475] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37476] -> 
  -a^(-2) + 7*a^2 - 7*a^4 + 2*a^6 + z^2 - (3*z^2)/a^2 + 17*a^2*z^2 - 
   18*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - (3*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 12*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37477] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 4*z^2 - 
   (2*z^2)/a^2 + 24*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 + 5*z^4 - (5*z^4)/a^2 + 
   21*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37478] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + (5*z^4)/a^8 - (7*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37479] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37480] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37481] -> 1 - z^2 + z^2/a^2 - a^2*z^2 + a^4*z^2 - 
   4*z^4 - z^4/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 37482] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   8*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - z^6 + (2*z^6)/a^2 - 6*a^2*z^6 - 
   2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37483] -> -a^2 + 5*a^4 - 3*a^6 - 4*a^2*z^2 + 
   13*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + z^4/a^2 - 2*a^2*z^4 + 17*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37484] -> 1 - 2/a^8 + 5/a^6 - 3/a^4 - a^2 + a^4 + 
   4*z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - 6*a^2*z^2 + 2*a^4*z^2 + 
   5*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37485] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 37486] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   15*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37487] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37488] -> 1 - a^(-8) + a^(-6) + 2/a^4 - 2/a^2 - a^2 + 
   a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37489] -> 1 - a^(-10) + 2/a^8 - a^(-4) - a^2 + a^4 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + 
   (2*z^6)/a^2, Knot[15, Alternating, 37490] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 37491] -> 
  -1 + a^(-4) - a^(-2) + a^2 + 3*a^4 - 2*a^6 - 6*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37492] -> -2 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^2 + a^4 - 
   a^6 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 37493] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37494] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 37495] -> 
  -2/a^14 + 5/a^12 - 4/a^10 + a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (9*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 37496] -> a^(-2) - a^2 + 3*a^8 - 2*a^10 - 2*z^2 + 
   (2*z^2)/a^2 - 3*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 5*z^4 + 
   z^4/a^2 - 4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37497] -> 
  a^2 - a^6 + 2*a^8 - a^12 + z^2 + a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 - 
   4*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 37498] -> 
  -3 + 2/a^2 + 3*a^2 - 3*a^4 + a^6 + 3*a^8 - 2*a^10 - 7*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 7*z^4 + 
   z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 37499] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   4*z^2 - z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 37500] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37501] -> -1 + a^(-4) + a^4 - 6*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37502] -> 1 + a^(-4) - 2/a^2 + 3*a^4 - 2*a^6 + 3*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37503] -> a^(-6) - 2/a^4 + a^(-2) + a^2 + a^4 - a^6 + 
   z^2 + z^2/a^6 - (3*z^2)/a^4 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 37504] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37505] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37506] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37507] -> a^2 + a^6 - a^8 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 37508] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - (10*z^2)/a^2 + 
   4*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (19*z^4)/a^4 - (25*z^4)/a^2 + 
   6*a^2*z^4 - 6*z^6 - z^6/a^6 + (13*z^6)/a^4 - (24*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 37509] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 + 
   11*a^2*z^4 - 4*a^4*z^4 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37510] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37511] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (4*z^4)/a^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37512] -> 1 - 2*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 37513] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 7*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (16*z^2)/a^4 + (22*z^2)/a^2 - 
   5*z^4 + (7*z^4)/a^8 - (8*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (12*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37514] -> -1 - 2/a^4 + 4/a^2 + 2*z^2 + (2*z^2)/a^8 - 
   z^2/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37515] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - (4*z^4)/a^2 + 
   11*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37516] -> 1 + a^(-4) - a^(-2) - a^4 + 
   a^6 + 2*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 - 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37517] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - a^2*z^2 - 
   2*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 
   10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37518] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   12*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37519] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 37520] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 
   z^2 - z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 37521] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - 5*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (9*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37522] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 
   2*a^4 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37523] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   7*z^2 + z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37524] -> -2 - a^(-6) - a^(-4) + 5/a^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37525] -> a^2 + a^4 - a^6 - 3*z^2 + 2*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + z^4/a^2 + 3*a^2*z^4 + 16*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37526] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37527] -> -4 - 5/a^4 + 10/a^2 - 10*z^2 - (6*z^2)/a^4 + 
   (19*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 - z^4/a^6 + (2*z^4)/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37528] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37529] -> a^(-10) - 5/a^8 + 5/a^6 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37530] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   7*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 37531] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 6*a^8 + 2*a^10 - 2*z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 
   21*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 
   25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 37532] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 - 
   z^2/a^2 + a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37533] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37534] -> -5 + 3/a^2 + 5*a^2 - 3*a^4 + a^8 - 13*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 37535] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37536] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 2*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37537] -> 4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 37538] -> -4 + a^(-6) - 2/a^4 + 3/a^2 + 
   4*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37539] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37540] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 37541] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37542] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 6*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 
   a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37543] -> 3 - 3*a^2 + a^6 + 4*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37544] -> 3 - a^(-2) - 3*a^4 + 3*a^6 - a^8 + 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 37545] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 37546] -> 
  -2*a^2 + 6*a^4 - 2*a^6 - a^8 - 4*z^2 + (2*z^2)/a^2 + 8*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37547] -> -1 + a^2 + 4*a^4 - 3*a^6 - z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 + 6*a^4*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37548] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 4*z^2 - 
   (5*z^2)/a^6 + (15*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (7*z^4)/a^6 + (19*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (13*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37549] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37550] -> 
  -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37551] -> 
  -7 - 4/a^4 + 9/a^2 + 5*a^2 - 2*a^4 - 20*z^2 - (6*z^2)/a^4 + (20*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   12*z^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37552] -> -4 - 2/a^6 + 3/a^4 + a^(-2) + 5*a^2 - 
   2*a^4 - 5*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + z^4/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 37553] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (6*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 37554] -> 2 - a^(-6) + a^(-4) - a^2 + 
   4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (5*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37555] -> 
  -3 - 3/a^6 + 5/a^4 + a^(-2) + a^4 - 12*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 16*z^4 - z^4/a^6 + (9*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37556] -> -2 - a^(-8) + 3/a^4 + a^4 - 7*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 37557] -> 
  -4 - 4/a^6 + 8/a^4 - a^(-2) + a^2 + a^4 - 15*z^2 - (4*z^2)/a^6 + 
   (14*z^2)/a^4 + z^2/a^2 + 4*a^4*z^2 - 18*z^4 - z^4/a^6 + (9*z^4)/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37558] -> -1 - 2/a^8 + 3/a^6 + a^(-4) - a^(-2) + a^4 - 
   5*z^2 - z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^4*z^2 - 
   7*z^4 + (2*z^4)/a^6 - (7*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 37559] -> 
  -1 - a^(-10) + a^(-8) + a^(-6) + a^4 - 3*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4, Knot[15, Alternating, 37560] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 37561] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37562] -> -2 + 7*a^2 - 5*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 37563] -> 7*a^8 - 8*a^10 + 2*a^12 - a^4*z^2 + 
   5*a^6*z^2 + 16*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 11*a^6*z^4 + 13*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 37564] -> -1 + 3*a^2 - 2*a^4 + 4*a^6 - 
   4*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 37565] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   a^4*z^4 + 10*a^6*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 37566] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + 
   a^10 - a^2*z^2 + a^4*z^2 + 14*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 6*a^4*z^4 + 19*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 7*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 37567] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + z^2 - 3*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37568] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   7*z^2 + (9*z^2)/a^6 - (26*z^2)/a^4 + (25*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 + 
   z^4/a^6 - (27*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (16*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 37569] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37570] -> 
  -2/a^14 + 7/a^12 - 9/a^10 + 4/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (17*z^2)/a^12 - (19*z^2)/a^10 + (3*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (19*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 37571] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - 
   (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 37572] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 
   2*a^4 - 14*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37573] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   z^2/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (7*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 37574] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 5*z^2 + z^2/a^8 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 37575] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   4*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37576] -> -10 + 3/a^2 + 13*a^2 - 5*a^4 - 19*z^2 + 
   (4*z^2)/a^2 + 27*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - z^4/a^2 + 
   24*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37577] -> 2 + a^(-8) - 6/a^6 + 8/a^4 - 
   3/a^2 - a^2 + 4*z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + (17*z^2)/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (10*z^4)/a^6 + (15*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37578] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 - z^2/a^8 + z^2/a^4 + (10*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37579] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37580] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   2*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^8 - (10*z^4)/a^6 + (13*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 37581] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (12*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (12*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 37582] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (23*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (18*z^4)/a^10 + (16*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 37583] -> -2 - a^(-8) + a^(-6) + a^(-4) + 
   a^(-2) + a^4 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 37584] -> -2 - 2/a^8 + 5/a^6 - 4/a^4 + 
   3/a^2 + a^4 - 3*z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 37585] -> 
  -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) + a^4 - 2*z^2 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 37586] -> -2 + 6*a^2 - 5*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   4*z^2 + 14*a^2*z^2 - 15*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 12*a^2*z^4 - 18*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 10*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 37587] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 
   9*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37588] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 37589] -> -2/a^14 + 5/a^12 - 3/a^10 - 2/a^8 + 2/a^6 + 
   a^(-2) - z^2/a^14 + (9*z^2)/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^10 - 
   (9*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 37590] -> 
  -a^(-14) + 2/a^12 - 2/a^8 + a^(-4) + a^(-2) + z^2 + (3*z^2)/a^12 + 
   z^2/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 37591] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37592] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 37593] -> 
  a^2 + a^8 - a^10 + z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37594] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 37595] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 7*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 19*a^4*z^2 - 
   8*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37596] -> -4 + a^(-6) - 3/a^4 + 4/a^2 + 5*a^2 - 
   2*a^4 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37597] -> -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 11*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37598] -> 3*a^4 - 2*a^6 - 5*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 
   14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37599] -> 1 - a^2 + a^4 + a^6 - a^8 - 2*z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37600] -> -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + (2*z^2)/a^2 - 
   a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   16*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37601] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 + z^2/a^8 - 
   (8*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + z^4/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37602] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 - a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37603] -> a^(-4) - a^(-2) + a^2 - z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 37604] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   7*z^4 - z^4/a^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 37605] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 19*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37606] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 
   6*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37607] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - 
   a^8 - 3*z^2 + 10*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 + 
   z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   6*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 37608] -> 1 + 2*z^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   6*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37609] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - 4*a^2*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37610] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37611] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 12*z^4 + (3*z^4)/a^4 + 
   10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37612] -> -4 + 11*a^2 - 7*a^4 + a^6 - 7*z^2 - 
   z^2/a^2 + 25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - z^4 - (3*z^4)/a^2 + 
   25*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 14*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37613] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   2*z^2 - z^2/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 
   8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37614] -> 
  a^(-4) - a^(-2) + a^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - (14*z^2)/a^2 + 
   3*a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (19*z^4)/a^4 - (27*z^4)/a^2 + 
   5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (24*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 37615] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (9*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 37616] -> -1 - 2/a^8 + 5/a^6 - 3/a^4 + a^(-2) + a^4 - 
   z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37617] -> a^2 + a^4 - a^6 - 3*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 16*a^4*z^4 - 6*a^6*z^4 - 
   6*z^6 + z^6/a^2 + a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 37618] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 37619] -> -1 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 
   a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37620] -> -1 - a^(-10) + 2/a^8 - a^(-4) + a^(-2) + 
   a^4 - 3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 37621] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + z^2/a^8 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37622] -> 
  3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 5*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37623] -> 1 - a^2 + 3*a^6 - 2*a^8 - z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37624] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 
   z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37625] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 - 3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 37626] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 + 
   z^2/a^10 - (8*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (2*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 37627] -> -2/a^14 + 5/a^12 - 4/a^10 + a^(-6) + 
   a^(-2) - z^2/a^14 + (9*z^2)/a^12 - (7*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (7*z^4)/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 37628] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 
   16*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37629] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   2*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37630] -> -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37631] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 + z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37632] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 - 2*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37633] -> 1 + a^(-6) - 2/a^4 + a^(-2) - a^2 + 2*a^4 - 
   a^6 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37634] -> -2 + a^(-2) + a^2 + 2*a^4 - a^8 - 4*z^2 + 
   z^2/a^4 + a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 37635] -> 2*a^4 - a^6 + a^8 - a^10 + z^2 - a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   4*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37636] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37637] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37638] -> 2*a^4 - a^6 + a^8 - a^10 + z^2 - a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37639] -> a^2 + a^4 - a^6 - 3*z^2 + 2*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (4*z^4)/a^2 + a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37640] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   4*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37641] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 12*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - 
   (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 37642] -> 
  4 - a^(-4) - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 37643] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37644] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 + 
   5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 37645] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37646] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^6 + z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 37647] -> 
  -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37648] -> a^(-4) - a^(-2) + a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (12*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 37649] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37650] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 + 
   6*z^4 + z^4/a^6 - z^4/a^4 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37651] -> 2 - a^(-6) + a^(-4) - a^2 + 3*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37652] -> -3/a^6 + 8/a^4 - 5/a^2 + a^4 - 2*z^2 - 
   (4*z^2)/a^6 + (15*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   4*z^4 - z^4/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 37653] -> -a^(-8) + a^(-6) + 3/a^4 - 
   3/a^2 + a^4 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 37654] -> 2 - 4/a^6 + 12/a^4 - 10/a^2 + a^4 - z^2 - 
   (4*z^2)/a^6 + (18*z^2)/a^4 - (15*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 
   5*z^4 - z^4/a^6 + (10*z^4)/a^4 - (11*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 37655] -> -2/a^8 + 5/a^6 - 2/a^4 - a^(-2) + 
   a^4 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 37656] -> 4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37657] -> 2 - a^(-2) + 2*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   3*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^4 - 
   z^4/a^2 + 18*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   10*a^2*z^6 - 6*a^4*z^6 + z^8 + 3*a^2*z^8, Knot[15, Alternating, 37658] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - 6*z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 37659] -> 
  -a^(-10) + 2/a^8 - a^(-2) + a^4 - 2*z^2 + (2*z^2)/a^8 - z^2/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4, Knot[15, Alternating, 37660] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 6*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^8 - z^4/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (8*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37661] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^8 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 37662] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 37663] -> 
  1 + z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 37664] -> 
  -2/a^14 + 5/a^12 - 5/a^10 + 2/a^8 + a^(-2) - z^2/a^14 + (9*z^2)/a^12 - 
   (8*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   (3*z^4)/a^12 - (7*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 37665] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   a^(-6) + a^(-2) + z^2 + (3*z^2)/a^12 - (2*z^2)/a^8 + (2*z^2)/a^2 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 37666] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 37667] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37668] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   3*z^2 + z^2/a^8 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37669] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37670] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 
   6*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37671] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 + 
   z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37672] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 37673] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2/a^2 - a^2*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 
   a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 37674] -> 
  1 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 37675] -> 2 - a^(-8) + a^(-6) - a^2 + 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 37676] -> 2 - a^(-6) + a^(-4) - a^2 + 
   3*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - a^4*z^2 + 2*z^4 + 
   z^4/a^8 - z^4/a^6 - z^4/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 37677] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37678] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (3*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 37679] -> a^2 + a^4 - a^6 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 5*a^4*z^2 - 3*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 37680] -> 1 - a^2 + 2*a^4 - a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^4*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 2*a^4*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 37681] -> -1 + 3*a^2 - a^6 - 4*z^2 + 4*a^2*z^2 + 
   9*a^4*z^2 - 6*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 20*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37682] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 6*a^4*z^2 - 4*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37683] -> 
  -1 + a^(-2) + a^2 + 4*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 14*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 37684] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 15*z^2 + z^2/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 
   8*a^2*z^2 + 24*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 37685] -> -1 + a^(-2) + a^2 + 3*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37686] -> 
  -2 + 6*a^2 - 3*a^4 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 37687] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37688] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 + a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37689] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + 
   5*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37690] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - 
   (6*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37691] -> -2/a^8 + 2/a^6 + a^(-4) + z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37692] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 37693] -> 
  1 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37694] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 37695] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + (5*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37696] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37697] -> 2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + 2*a^2*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 37698] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37699] -> -5 + 3/a^2 + 4*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 37700] -> 2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 + z^4 - a^2*z^4 - 3*a^4*z^4 + 5*a^6*z^4 - a^10*z^4 + 
   z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 37701] -> 2*a^2 - a^4 - z^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 2*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37702] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37703] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 3*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37704] -> -2*a^2 + 7*a^4 - 4*a^6 - 4*z^2 - a^2*z^2 + 
   20*a^4*z^2 - 10*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 26*a^4*z^4 - 
   10*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37705] -> -2 + 5*a^2 - a^4 - a^6 - 3*z^2 - 
   (2*z^2)/a^2 + 11*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 12*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 37706] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37707] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37708] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 4*z^4 - 
   z^4/a^8 + z^4/a^6 + z^4/a^4 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37709] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 9*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37710] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^6 + (4*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 37711] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (16*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 37712] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - 
   z^2/a^8 + z^2/a^6 + z^2/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 37713] -> 1 + 2*z^2 + z^2/a^10 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 37714] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 - z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37715] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 37716] -> 2 - a^2 - a^4 + a^6 + z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 37717] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37718] -> -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 5*a^4*z^2 - a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37719] -> 5 - 2/a^2 - 2*a^2 + 6*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - a^4*z^2 - 4*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37720] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 37721] -> -1 - a^(-6) + 3/a^4 - a^(-2) + 
   a^4 - 5*z^2 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 37722] -> 
  -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 37723] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 - z^2/a^6 + (12*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (11*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 37724] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 6*z^2 - z^2/a^8 + (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   4*z^4 - z^4/a^8 + (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 37725] -> 
  -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 7*z^2 + z^2/a^8 + (8*z^2)/a^6 - 
   (25*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37726] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + z^2 - z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (8*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (8*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37727] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37728] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   (4*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37729] -> -1 - a^(-6) + 3/a^2 - 6*z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (11*z^4)/a^6 + (8*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37730] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 37731] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 2*z^2 - z^2/a^6 + (4*z^2)/a^2 - a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37732] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37733] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^4)/a^10 + 
   (8*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37734] -> -2/a^6 + 3/a^4 + z^2 - z^2/a^10 + z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37735] -> -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 - z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37736] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) + z^2 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37737] -> 2 - a^(-6) + a^(-4) - a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 37738] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 9*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37739] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37740] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 21*z^2 + 
   (6*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 14*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37741] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - 
   a^4 - 26*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   28*z^4 - z^4/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + 
   (2*z^6)/a^4 + z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37742] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 24*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   11*z^6 + (2*z^6)/a^4 - z^6/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37743] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + 17*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 + 6*a^4*z^4 - 5*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 37744] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37745] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 12*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 
   22*a^4*z^2 + 7*a^6*z^2 - 4*z^4 - (3*z^4)/a^2 + 24*a^2*z^4 - 25*a^4*z^4 + 
   5*a^6*z^4 + 6*z^6 - (4*z^6)/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37746] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 + 
   4*z^2 + z^2/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 
   7*z^4 - z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37747] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   21*z^2 - z^2/a^4 + (7*z^2)/a^2 + 27*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   24*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 37748] -> 
  1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 15*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37749] -> -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (23*z^2)/a^4 + 
   (19*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (16*z^4)/a^6 - 
   (30*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (18*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 37750] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   2/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (11*z^2)/a^12 - (10*z^2)/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - 
   (15*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 37751] -> 
  -3 + a^(-2) + 2*a^2 + 2*a^4 + a^6 - 2*a^8 - 11*z^2 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   15*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37752] -> -4 + a^(-2) + 5*a^2 - a^8 - 
   5*z^2 + z^2/a^4 + 7*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 37753] -> 
  -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 + 2*z^2 + (12*z^2)/a^6 - (16*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37754] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (20*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37755] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - 3*z^4 - z^4/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37756] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37757] -> 
  -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (11*z^4)/a^8 - 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 37758] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 + 
   2*z^2 - z^2/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37759] -> 
  a^2 - 2*a^6 + 5*a^8 - 3*a^10 + 4*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   14*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 - 4*a^6*z^4 + 
   15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 37760] -> a^2 - a^6 + 3*a^8 - 2*a^10 + 
   z^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + z^4 - 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 37761] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   5*z^2 + z^2/a^8 + (5*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37762] -> 6 - 3/a^2 - 3*a^4 + a^6 + 14*z^2 - 
   (6*z^2)/a^2 + a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37763] -> -5 - 3/a^6 + 4/a^4 + 3/a^2 + 
   2*a^2 - 16*z^2 - (7*z^2)/a^6 + (13*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   19*z^4 - (9*z^4)/a^6 + (19*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37764] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37765] -> 
  4 - a^(-4) - a^2 - 2*a^4 + a^6 + 7*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37766] -> 
  -4 - a^(-8) + 2/a^4 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + z^2/a^6 + 
   (8*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (11*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 37767] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - z^2 + 
   13*a^2*z^2 - 25*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 + 4*z^4 + 2*a^2*z^4 - 
   26*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 16*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 37768] -> 
  -4*a^6 + 20*a^8 - 22*a^10 + 7*a^12 - 20*a^6*z^2 + 82*a^8*z^2 - 
   73*a^10*z^2 + 18*a^12*z^2 - 33*a^6*z^4 + 124*a^8*z^4 - 91*a^10*z^4 + 
   17*a^12*z^4 - 24*a^6*z^6 + 96*a^8*z^6 - 56*a^10*z^6 + 7*a^12*z^6 - 
   8*a^6*z^8 + 42*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 37769] -> 
  -a^6 + 12*a^8 - 15*a^10 + 5*a^12 - 4*a^4*z^2 + 7*a^6*z^2 + 27*a^8*z^2 - 
   32*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 16*a^6*z^4 + 27*a^8*z^4 - 
   28*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 16*a^8*z^6 - 
   12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 37770] -> 
  -2*a^4 + 6*a^6 + 3*a^8 - 10*a^10 + 4*a^12 - 9*a^4*z^2 + 23*a^6*z^2 + 
   11*a^8*z^2 - 27*a^10*z^2 + 8*a^12*z^2 - 12*a^4*z^4 + 30*a^6*z^4 + 
   17*a^8*z^4 - 27*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 
   14*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 37771] -> 
  -2*a^4 + 9*a^6 - 5*a^8 - 3*a^10 + 2*a^12 - 2*a^2*z^2 - a^4*z^2 + 
   20*a^6*z^2 - 7*a^8*z^2 - 8*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   18*a^6*z^4 - 2*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   9*a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 37772] -> -4 + a^(-8) - 6/a^6 + 4/a^4 + 6/a^2 - 
   12*z^2 + (3*z^2)/a^8 - (20*z^2)/a^6 + (21*z^2)/a^4 + (16*z^2)/a^2 - 
   13*z^4 + (3*z^4)/a^8 - (27*z^4)/a^6 + (39*z^4)/a^4 + (20*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (15*z^6)/a^6 + (33*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (13*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37773] -> -a^4 + 2*a^6 + 8*a^8 - 12*a^10 + 4*a^12 - 
   5*a^4*z^2 + 8*a^6*z^2 + 29*a^8*z^2 - 33*a^10*z^2 + 8*a^12*z^2 - 
   8*a^4*z^4 + 10*a^6*z^4 + 43*a^8*z^4 - 35*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 9*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 37774] -> -a^4 + 5*a^6 - 5*a^10 + 2*a^12 - a^2*z^2 - 
   2*a^4*z^2 + 15*a^6*z^2 + 2*a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 17*a^6*z^4 + 6*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 37775] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + (7*z^2)/a^8 - (26*z^2)/a^6 + 
   (24*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - (33*z^4)/a^6 + 
   (38*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (32*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 37776] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (9*z^2)/a^6 + (14*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 - (3*z^4)/a^6 + (16*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 37777] -> -5 - a^(-8) + a^(-6) - a^(-4) + 
   5/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37778] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 - 
   (4*z^4)/a^6 + (23*z^4)/a^4 - (21*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (25*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 37779] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (10*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 37780] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 8*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 + z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 37781] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37782] -> -3 + 2/a^2 + a^2 + 3*a^4 - 3*a^6 + a^8 - 
   5*z^2 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 - 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 37783] -> -6 + a^(-4) + a^(-2) + 9*a^2 - 6*a^4 + 
   2*a^6 - 16*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 37784] -> 
  -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 20*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   22*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 37785] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37786] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37787] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 + 
   z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 37788] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37789] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 37790] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - 
   a^4 - 23*z^2 + (9*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37791] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37792] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37793] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 + a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 + 3*z^4 - 
   23*a^2*z^4 + 51*a^4*z^4 - 20*a^6*z^4 + 4*z^6 - 29*a^2*z^6 + 60*a^4*z^6 - 
   18*a^6*z^6 + z^8 - 13*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 37794] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   14*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 23*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37795] -> a^2 + a^4 - a^6 - 2*z^2 - a^2*z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 21*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37796] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + 2*a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 37797] -> 
  -a^(-4) + 2/a^2 + 13*z^2 - z^2/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 41*z^4 + 
   (4*z^4)/a^4 - (22*z^4)/a^2 - 15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - 
   (26*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 37798] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   11*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 37799] -> 
  -2 + 6*a^2 - 3*a^4 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 22*z^4 - 
   (5*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 
   40*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 37800] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37801] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 7*z^4 - (7*z^4)/a^6 + (22*z^4)/a^4 - 
   (18*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + (29*z^6)/a^4 - (36*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 37802] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   6*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37803] -> 
  -1 - 2/a^4 + 4/a^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   4*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 37804] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 37805] -> -3 - 2/a^4 + 5/a^2 + 2*a^2 - 2*a^4 + a^6 - 
   13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 37806] -> 
  -4 - 2/a^8 + 5/a^6 - 5/a^4 + 5/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (30*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 37807] -> -a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 6/a^4 + 
   4/a^2 - z^2/a^12 + (8*z^2)/a^10 - (16*z^2)/a^8 + (21*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (18*z^4)/a^8 + (28*z^4)/a^6 - 
   (28*z^4)/a^4 + (7*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - (18*z^6)/a^4 + 
   (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 37808] -> -2 + 2/a^2 - a^2 + 4*a^4 - 3*a^6 + a^8 - 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 37809] -> -7 + a^(-6) - 2/a^4 + 4/a^2 + 7*a^2 - 
   2*a^4 - 25*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 19*a^2*z^2 - 
   5*a^4*z^2 - 30*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 37810] -> 
  a^2 + a^6 - 4*a^8 + 6*a^10 - 3*a^12 + 4*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 
   13*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 10*a^4*z^4 + 
   7*a^6*z^4 - 22*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 
   8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 37811] -> a^2 + a^4 - 2*a^6 + 3*a^10 - 
   2*a^12 + z^2 + 2*a^2*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 37812] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 17*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 37813] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + 
   a^8 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 37814] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 10*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 16*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37815] -> -6 + a^(-6) - 2/a^4 + 3/a^2 + 8*a^2 - 
   3*a^4 - 22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 28*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 37816] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 5*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (18*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37817] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 + a^4 - 2*a^6 + a^8 - 9*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 37818] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + 5*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 12*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 
   4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 37819] -> 
  -5 + 3/a^2 + 3*a^2 + a^4 - 2*a^6 + a^8 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 5*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 37820] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 5*z^2 + (4*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 + 
   15*z^4 - (4*z^4)/a^2 - 31*a^2*z^4 + 11*a^4*z^4 + 32*z^6 - (11*z^6)/a^2 - 
   34*a^2*z^6 + 6*a^4*z^6 + 24*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 37821] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 + z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + 
   4*a^4*z^2 - z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 12*a^2*z^4 + 4*a^4*z^4 + 
   3*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 37822] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - z^2/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^2 + 6*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 2*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 37823] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 + 2*z^2 + 
   z^2/a^2 - 11*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 10*z^4 - (4*z^4)/a^2 - 
   13*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37824] -> 1 + a^(-4) - a^(-2) - a^2 + 
   a^4 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37825] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 5*a^4*z^2 - 
   6*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 + 
   10*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 37826] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 13*z^2 - z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37827] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37828] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37829] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37830] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 21*z^2 + 
   (6*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 14*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37831] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - 
   a^4 - 26*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   28*z^4 - z^4/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + 
   (2*z^6)/a^4 + z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37832] -> 
  1 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37833] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4/a^6 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37834] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37835] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   z^2 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 37836] -> 
  1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37837] -> -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 - 7*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37838] -> 
  1 + a^6 - 2*a^8 + a^10 - z^2 + 3*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 37839] -> -2 + a^(-2) + 3*a^2 - 5*a^4 + 
   8*a^6 - 4*a^8 - 9*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 21*a^4*z^2 + 
   21*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 21*a^2*z^4 - 29*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 17*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 37840] -> -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 2*a^8 - 
   z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - (3*z^4)/a^2 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37841] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 18*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   19*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 37842] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2/a^10 + 
   (5*z^2)/a^8 - (13*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (9*z^4)/a^8 - 
   (2*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 37843] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37844] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 20*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37845] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + z^4 - 5*a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 37846] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 
   9*a^2*z^4 - 8*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37847] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 + z^2/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   21*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37848] -> 
  -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 7*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37849] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 37850] -> a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - 
   (4*z^2)/a^8 + (16*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (16*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37851] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + z^4/a^2 + 
   16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 + 9*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37852] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 
   8/a^2 - 5*z^2 - z^2/a^8 + (8*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37853] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   4*z^2 - z^2/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37854] -> 2 - a^2 - a^4 + a^6 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37855] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37856] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 3*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (4*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 37857] -> 2*a^2 - 3*a^4 + 5*a^6 - 6*a^8 + 
   5*a^10 - 2*a^12 + 7*a^2*z^2 - 15*a^4*z^2 + 21*a^6*z^2 - 19*a^8*z^2 + 
   11*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 26*a^4*z^4 + 28*a^6*z^4 - 
   21*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 18*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 37858] -> 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 2*a^10 - 
   a^12 + 2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   5*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37859] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 9*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37860] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   z^2/a^2 - a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37861] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   2*a^4*z^2 - 3*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37862] -> 3/a^10 - 9/a^8 + 7/a^6 + (2*z^2)/a^12 - 
   z^2/a^10 - (13*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (13*z^4)/a^10 + (4*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (16*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 37863] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (16*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37864] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   z^2 - (3*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 37865] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 4*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + a^2*z^4 - 2*a^4*z^4 + 13*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 5*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 37866] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - a^4*z^2 - 6*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37867] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 13*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37868] -> 
  1 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37869] -> 
  2 - a^(-2) + a^2 - a^4 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 37870] -> 
  -6 + 3/a^2 + 7*a^2 - 4*a^4 + a^8 - 17*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   18*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 14*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 37871] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 - z^2/a^6 + (13*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - 15*z^4 - (2*z^4)/a^6 - z^4/a^4 + (15*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - z^6/a^6 + z^6/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 37872] -> 
  1 - a^(-4) + 4*a^2 - 3*a^4 + 5*z^2 - z^2/a^4 - (3*z^2)/a^2 + 13*a^2*z^2 - 
   8*a^4*z^2 + 11*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   10*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37873] -> 2 - 2/a^4 + 2/a^2 - a^4 + 8*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37874] -> 4 - a^(-6) + a^(-4) - a^(-2) - 2*a^2 + 
   2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37875] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 - z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 37876] -> 
  a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + z^2/a^12 - (7*z^2)/a^10 + 
   (19*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (6*z^4)/a^8 + (21*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 37877] -> -1 - 2/a^8 + 5/a^6 - 6/a^4 + 
   5/a^2 - 3*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - (16*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37878] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   16*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 
   16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 37879] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - 
   a^8 - 6*z^2 + 19*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 6*z^4 + 
   z^4/a^4 - z^4/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 10*a^2*z^6 - 6*a^4*z^6 + z^8 + 3*a^2*z^8, 
 Knot[15, Alternating, 37880] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 26*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (19*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37881] -> -5 + a^(-6) - 4/a^4 + 8/a^2 - a^2 + 2*a^4 - 
   8*z^2 - (7*z^2)/a^4 + (15*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (14*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 37882] -> 
  -a^(-14) + 2/a^12 + 3/a^10 - 11/a^8 + 8/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 + 
   z^2/a^10 - (24*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (7*z^4)/a^10 - (26*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 37883] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (6*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37884] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37885] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 + 
   z^4 - z^4/a^10 + (8*z^4)/a^6 - (15*z^4)/a^4 - z^6/a^10 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37886] -> -1 + 2*a^2 + a^4 - a^8 - 2*z^2 + 4*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 37887] -> 
  1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37888] -> 6 - 3/a^2 + a^2 - 5*a^4 + 2*a^6 + 14*z^2 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 37889] -> 5 - a^(-4) - 3*a^2 - a^4 + a^6 + 
   8*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37890] -> -3 - 3/a^6 + 4/a^4 + 2/a^2 + a^2 - 10*z^2 - 
   (6*z^2)/a^6 + (12*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (7*z^4)/a^6 + (16*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37891] -> -1 - a^(-6) + 3/a^2 - 5*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 7*z^4 + z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 37892] -> -2/a^6 + 3/a^4 - z^2/a^10 + 
   (3*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 37893] -> 
  -4 + 2/a^8 - 10/a^6 + 9/a^4 + 4/a^2 - 8*z^2 + (3*z^2)/a^8 - (21*z^2)/a^6 + 
   (23*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (25*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 37894] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 + 13*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37895] -> 2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 
   2*a^4*z^2 + 8*a^6*z^2 + 13*a^8*z^2 - 19*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 + 12*a^6*z^4 + 16*a^8*z^4 - 19*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 37896] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   6*z^2 + z^2/a^4 + 13*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 37897] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + 
   a^(-4) + 2*z^2 - z^2/a^10 + (8*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4 - z^4/a^10 + (4*z^4)/a^8 - (7*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37898] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37899] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37900] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^8 + (6*z^2)/a^6 - (15*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (19*z^4)/a^4 + (20*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 37901] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37902] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 37903] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - z^4 + z^4/a^2 + a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37904] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37905] -> 3 - a^(-2) - 2*a^4 + a^6 + 2*z^2 + a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37906] -> 
  1 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37907] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 37908] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   15*a^6*z^2 - 5*a^8*z^2 + z^4 + 5*a^2*z^4 - 16*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 11*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 37909] -> -5 - 3/a^6 + 4/a^4 + 3/a^2 + 2*a^2 - 
   14*z^2 - (6*z^2)/a^6 + (11*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37910] -> -a^2 + 5*a^4 - 3*a^6 - 2*z^2 - 2*a^2*z^2 + 
   15*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + z^4/a^2 + a^2*z^4 + 20*a^4*z^4 - 
   8*a^6*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 37911] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - (2*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 37912] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (13*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37913] -> -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 
   14*z^2 + z^2/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   10*z^4 - z^4/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 37914] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + z^2/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 37915] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37916] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 37917] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 37918] -> a^2 + a^4 - 2*a^6 + a^8 + a^10 - 
   a^12 + z^2 + a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 37919] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 37920] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37921] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37922] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 37923] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37924] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^4 - z^4/a^2 + 
   18*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 10*a^2*z^6 - 
   6*a^4*z^6 + z^8 + 3*a^2*z^8, Knot[15, Alternating, 37925] -> 
  -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 21*z^2 - z^2/a^6 + 
   (10*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 23*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (2*z^6)/a^4 + z^6/a^2 + 6*a^2*z^6 - 3*z^8 - z^8/a^2, 
 Knot[15, Alternating, 37926] -> -2 + a^(-2) + 5*a^2 - 8*a^4 + 8*a^6 - 
   3*a^8 - 7*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 23*a^4*z^2 + 18*a^6*z^2 - 
   3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37927] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - z^2 + z^2/a^4 - 2*a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37928] -> -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37929] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 + z^2/a^10 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 - z^6/a^10 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37930] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   11*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 37931] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37932] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 37933] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37934] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 5*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   16*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 
   23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37935] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37936] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 + z^4/a^8 + z^4/a^6 - (14*z^4)/a^4 + 
   (22*z^4)/a^2 - 4*z^6 + z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 37937] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - 
   a^4 - 14*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   9*z^4 + z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^6 - (7*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 37938] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 37939] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37940] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 37941] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 15*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37942] -> 2*a^4 + 2*a^6 - 8*a^8 + 9*a^10 - 5*a^12 + 
   a^14 + 3*a^4*z^2 + 9*a^6*z^2 - 21*a^8*z^2 + 18*a^10*z^2 - 5*a^12*z^2 - 
   a^2*z^4 + 12*a^6*z^4 - 22*a^8*z^4 + 10*a^10*z^4 - a^2*z^6 + 8*a^6*z^6 - 
   9*a^8*z^6 + a^4*z^8 + 3*a^6*z^8, Knot[15, Alternating, 37943] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - (7*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + 
   (8*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37944] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + 
   z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 37945] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 4*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 3*a^8*z^4 + 
   2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37946] -> a^(-4) - 2*a^2 + 2*a^4 + z^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 37947] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 37948] -> 
  -4 + 2/a^6 - 5/a^4 + 7/a^2 - a^2 + 2*a^4 - 6*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37949] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (10*z^4)/a^6 - (16*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37950] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 15*z^2 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37951] -> 
  -6 - a^(-4) + 5/a^2 + 2*a^2 + 2*a^4 - a^6 - 11*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 37952] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 37953] -> 
  2/a^16 - 3/a^14 - 4/a^12 + 5/a^10 + a^(-8) + (2*z^2)/a^16 - (13*z^2)/a^14 - 
   z^2/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (13*z^4)/a^14 + 
   (17*z^4)/a^12 + (27*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (18*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 37954] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + a^(-6) + a^(-2) - z^2/a^14 + (8*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 37955] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 2/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (6*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 37956] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + 2/a^6 + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 37957] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 
   5*z^2 + z^2/a^4 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 37958] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (3*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   (5*z^4)/a^10 + (14*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 37959] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37960] -> 2 - 2/a^8 + 6/a^6 - 5/a^4 + 3*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - (6*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 37961] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 
   z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 37962] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 4*z^2 - 7*a^2*z^2 + a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 37963] -> 
  1 - 2*a^2 + 3*a^4 - a^8 + z^2 + z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - 5*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   z^6 - (2*z^6)/a^2 - 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37964] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (7*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 37965] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (7*z^6)/a^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (4*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 37966] -> -2 + 2/a^2 + a^4 - 4*z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37967] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37968] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 37969] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 37970] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 12*z^2 - 
   (5*z^2)/a^2 - 12*a^4*z^2 + 5*a^6*z^2 + 15*z^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 37971] -> 4 - a^(-4) + a^(-2) - 4*a^2 + a^6 + 7*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 37972] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (5*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 37973] -> 
  -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - 7*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + (6*z^4)/a^4 - (9*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 37974] -> 1 - 2/a^10 + 3/a^8 + a^(-6) - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (16*z^4)/a^4 - 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 37975] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (6*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37976] -> 
  1 + 2/a^4 - 5/a^2 + 7*a^2 - 4*a^4 - 4*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 
   21*a^2*z^2 - 8*a^4*z^2 - 10*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 37977] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 
   2*a^6 - 13*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   13*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   8*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 37978] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 - 2*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + 
   (7*z^4)/a^4 - (15*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 37979] -> 
  1 - a^(-10) + a^(-8) + 4/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (14*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 37980] -> 
  2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + 3*z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 37981] -> 1 - a^(-8) + 3/a^6 - a^(-4) - 
   2/a^2 + a^2 - z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 37982] -> 2 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-2) + 
   3*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37983] -> -a^(-10) + 2/a^8 - a^(-4) + a^2 - z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 37984] -> 2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 
   a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + a^4*z^4 - 
   6*a^6*z^4 - z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 37985] -> 2 - 2/a^10 + 5/a^8 - 4/a^6 + 2/a^4 - 2/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (12*z^2)/a^8 - (10*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 37986] -> 
  -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 37987] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 37988] -> 1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + 2*z^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 37989] -> 2*a^4 - a^8 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - z^4/a^2 - 5*a^2*z^4 - 
   a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 37990] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 37991] -> 
  4 + 3/a^4 - 7/a^2 + 3*a^2 - 2*a^4 + z^2 + z^2/a^6 + (5*z^2)/a^4 - 
   (14*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 37992] -> -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 8*z^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 37993] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^6 + z^2/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   5*a^2*z^4 - 3*a^4*z^4 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 37994] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 - z^4/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 37995] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 37996] -> a^(-2) - 2*a^2 + a^4 + 3*a^6 - 2*a^8 - 
   2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 37997] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 37998] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 37999] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^8 + 
   (7*z^2)/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38000] -> 1 - 2/a^10 + 5/a^8 - 4/a^6 + a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38001] -> 
  1 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38002] -> 1 - 2/a^10 + 5/a^8 - 5/a^6 + 3/a^4 - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (12*z^2)/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - 
   (10*z^4)/a^6 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 38003] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + z^2 - z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 38004] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 6*z^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - z^6/a^4 + z^6/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38005] -> 
  -1 + 2/a^6 - 4/a^4 + 4/a^2 - a^2 + a^6 - z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - z^4/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 38006] -> -3 - a^(-6) + 4/a^2 + a^2 - 7*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38007] -> 2 - a^(-10) + a^(-8) + 3/a^6 - 4/a^4 + 
   2*z^2 + z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 38008] -> -11 - 2/a^6 + 10/a^2 + 4*a^2 - 30*z^2 - 
   (5*z^2)/a^6 + (10*z^2)/a^4 + (15*z^2)/a^2 + 12*a^2*z^2 - 34*z^4 - 
   (4*z^4)/a^6 + (17*z^4)/a^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38009] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - 
   z^4/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38010] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + (2*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (2*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38011] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38012] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + (2*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (2*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38013] -> -3 + a^(-4) - a^(-2) + 7*a^2 - 3*a^4 - 
   10*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + 
   (7*z^4)/a^4 - (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38014] -> 
  -7 - 2/a^6 + 2/a^4 + 5/a^2 + 3*a^2 - 21*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 + 
   (7*z^2)/a^2 + 9*a^2*z^2 - 26*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 + z^4/a^2 + 
   10*a^2*z^4 - 17*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38015] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (14*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 - z^4/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38016] -> 
  1 - 2/a^10 + 2/a^8 + 3/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (10*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (10*z^4)/a^8 - (4*z^4)/a^6 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 38017] -> 1 - a^(-12) + 3/a^8 - a^(-6) - 
   2/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 - 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (10*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 38018] -> -2 + a^(-2) + 2*a^2 - a^4 + 
   3*a^6 - 2*a^8 - 7*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38019] -> 
  -8 + a^(-6) - 3/a^4 + 6/a^2 + 7*a^2 - 2*a^4 - 24*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (17*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 27*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (20*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38020] -> 
  -3 - 2/a^6 + 4/a^4 + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 + 
   2*a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 38021] -> -8 + a^(-6) - 4/a^4 + 8/a^2 + 5*a^2 - a^4 - 
   25*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (21*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 27*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38022] -> 
  -5 + 2/a^2 + 7*a^2 - 5*a^4 + 3*a^6 - a^8 - 16*z^2 + (5*z^2)/a^2 + 
   19*a^2*z^2 - 15*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38023] -> -7 + a^(-6) - 3/a^4 + 5/a^2 + 
   8*a^2 - 3*a^4 - 23*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 
   19*a^2*z^2 - 5*a^4*z^2 - 27*z^4 + z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 
   18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38024] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38025] -> 2 + a^(-4) - 2/a^2 + a^2 - 3*a^4 + 3*a^6 - 
   a^8 + 4*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 38026] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 
   3/a^4 - a^(-2) + 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38027] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38028] -> 
  7 - 3/a^2 - 2*a^2 - 2*a^4 + a^6 + 12*z^2 - (5*z^2)/a^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 14*z^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 38029] -> 
  2 - a^(-4) + a^(-2) - 2*a^4 + a^6 + 6*z^2 - z^2/a^4 - a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 38030] -> 
  -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - z^2 + 13*a^2*z^2 - 25*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 + 4*z^4 + 2*a^2*z^4 - 26*a^4*z^4 + 22*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 16*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 38031] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38032] -> 
  -6 - 3/a^6 + 3/a^4 + 5/a^2 + 2*a^2 - 17*z^2 - (7*z^2)/a^6 + (12*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (9*z^4)/a^6 + (19*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38033] -> 
  -4 - a^(-8) - a^(-6) + 4/a^4 + a^(-2) + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (12*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 38034] -> -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (19*z^4)/a^8 - (16*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 38035] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38036] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 + 13*a^2*z^2 - 
   5*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38037] -> 2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 
   2*a^4*z^2 + 8*a^6*z^2 + 13*a^8*z^2 - 19*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 + 12*a^6*z^4 + 16*a^8*z^4 - 19*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 38038] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 7*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38039] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 38040] -> 
  9 + a^(-4) - 6/a^2 - 2*a^2 - a^4 + 19*z^2 - (10*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 20*z^4 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 38041] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38042] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38043] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + 
   (23*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (14*z^4)/a^6 - (29*z^4)/a^4 + 
   (29*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38044] -> 
  -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 6*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38045] -> a^2 + a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38046] -> 
  2*a^2 - a^4 - 3*z^2 + 10*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 17*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38047] -> 
  -7 - 3/a^6 + 2/a^4 + 7/a^2 + 2*a^2 - 19*z^2 - (5*z^2)/a^6 + (6*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38048] -> 
  -5 - a^(-8) - a^(-6) + 3/a^4 + 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 - z^2/a^6 + 
   (9*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (2*z^4)/a^8 + 
   (10*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 38049] -> 3 - 3/a^6 + 5/a^4 - 2/a^2 - 3*a^2 + a^4 + 
   7*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 38050] -> 1 - a^(-8) + 2/a^4 - 2*a^2 + 
   a^4 + z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 38051] -> 
  -4*a^2 + 8*a^4 + 4*a^6 - 11*a^8 + 4*a^10 - 12*a^2*z^2 + 22*a^4*z^2 + 
   18*a^6*z^2 - 30*a^8*z^2 + 8*a^10*z^2 - 13*a^2*z^4 + 27*a^4*z^4 + 
   26*a^6*z^4 - 30*a^8*z^4 + 5*a^10*z^4 - 6*a^2*z^6 + 19*a^4*z^6 + 
   19*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^2*z^8 + 7*a^4*z^8 + 7*a^6*z^8 - 
   2*a^8*z^8 + a^4*z^10 + a^6*z^10, Knot[15, Alternating, 38052] -> 
  1 - a^(-10) + 3/a^8 - 5/a^6 + 5/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38053] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + (11*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (5*z^4)/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + 
   (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 38054] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 + 2*z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38055] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 7*z^2 - (2*z^2)/a^2 + 31*a^2*z^2 - 
   23*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - (5*z^4)/a^2 + 30*a^2*z^4 - 23*a^4*z^4 + 
   4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 17*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 38056] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 + z^2 - 
   (3*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 
   6*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 38057] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 + z^2 - 
   z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   z^4/a^4 - z^4/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 38058] -> 1 - 3/a^6 + 5/a^4 - a^(-2) - 2*a^2 + a^4 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 38059] -> 
  -1 - a^(-8) + 2/a^4 + a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 38060] -> 
  3 + a^(-8) - 6/a^6 + 7/a^4 - 2/a^2 - 2*a^2 + 6*z^2 + (2*z^2)/a^8 - 
   (13*z^2)/a^6 + (16*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - 
   (11*z^4)/a^6 + (16*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 38061] -> 
  1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (9*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38062] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^8 - z^2/a^6 + (8*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 38063] -> 
  -1 + 2*a^2 + 3*a^6 - 4*a^8 + a^10 - 2*z^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 38064] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 22*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38065] -> 
  -3 + 2/a^2 + 4*a^2 - 8*a^4 + 10*a^6 - 4*a^8 - 12*z^2 + (5*z^2)/a^2 + 
   16*a^2*z^2 - 28*a^4*z^2 + 23*a^6*z^2 - 4*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 34*a^4*z^4 + 15*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38066] -> a^(-2) - 5*a^4 + 9*a^6 - 4*a^8 - 
   3*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 19*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38067] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + z^4/a^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38068] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38069] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + (2*z^2)/a^8 + z^2/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38070] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38071] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 3*z^2 + 12*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 11*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 38072] -> -a^(-8) + 4/a^6 - 6/a^4 + 
   4/a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38073] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (17*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38074] -> 
  a^(-2) - 4*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   18*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38075] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 
   2*a^8 - 3*z^2 + z^2/a^4 + 4*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   (3*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38076] -> 1 - a^2 + a^4 + a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38077] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38078] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - z^2/a^14 + (2*z^2)/a^12 - (4*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 - 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (6*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 38079] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + z^2/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (12*z^4)/a^4 - 
   (13*z^4)/a^2 + 9*a^2*z^4 - 11*z^6 - z^6/a^6 + (12*z^6)/a^4 - 
   (21*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 38080] -> 
  -1 + 3/a^6 - 8/a^4 + 7/a^2 - 4*z^2 + (2*z^2)/a^8 - (13*z^2)/a^4 + 
   (14*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (12*z^6)/a^6 + (16*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38081] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 38082] -> a^(-8) - 4/a^4 + 4/a^2 - z^2 + z^2/a^10 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (5*z^4)/a^8 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 38083] -> -4 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - a^4 - 
   10*z^2 + (2*z^2)/a^4 + z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38084] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 9*z^2 - z^2/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38085] -> 
  3 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38086] -> -6 + 2/a^2 + 12*a^2 - 15*a^4 + 12*a^6 - 
   4*a^8 - 17*z^2 + (5*z^2)/a^2 + 30*a^2*z^2 - 37*a^4*z^2 + 24*a^6*z^2 - 
   4*a^8*z^2 - 19*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 37*a^4*z^4 + 15*a^6*z^4 - 
   a^8*z^4 - 10*z^6 + z^6/a^2 + 17*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38087] -> 
  -2 + a^(-2) + 5*a^2 - 9*a^4 + 10*a^6 - 4*a^8 - 7*z^2 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 24*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 28*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38088] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   12*z^2 + (3*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38089] -> 
  a^2 - 4*a^4 + 9*a^6 - 5*a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 20*a^6*z^2 - 
   3*a^8*z^2 - 2*a^10*z^2 + z^4 + 4*a^2*z^4 - 15*a^4*z^4 + 14*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - 10*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38090] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - (4*z^2)/a^8 + (16*z^2)/a^6 - 
   (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38091] -> -2 + 9*a^2 - 13*a^4 + 11*a^6 - 4*a^8 - 
   8*z^2 + z^2/a^2 + 26*a^2*z^2 - 33*a^4*z^2 + 22*a^6*z^2 - 4*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 34*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 18*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38092] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 13*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38093] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   17*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38094] -> 
  -7 - a^(-8) + 5/a^6 - 11/a^4 + 13/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (28*z^2)/a^4 + (30*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (31*z^4)/a^4 + (30*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38095] -> -12 + a^(-6) - 3/a^4 + 7/a^2 + 12*a^2 - 
   4*a^4 - 32*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 25*a^2*z^2 - 
   6*a^4*z^2 - 34*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38096] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38097] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 - z^2/a^6 + (12*z^2)/a^2 + 7*a^2*z^2 - 
   23*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38098] -> 
  a^(-12) - 2/a^10 - a^(-8) + a^(-6) + 3/a^4 - a^(-2) + z^2/a^12 - 
   (5*z^2)/a^10 + z^2/a^8 + (4*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38099] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38100] -> -2 - 3/a^6 + 5/a^4 + a^2 - 9*z^2 - 
   (6*z^2)/a^6 + (13*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (7*z^4)/a^6 + (16*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38101] -> -a^(-8) + 3/a^4 - a^(-2) - a^2 + a^4 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38102] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (6*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 38103] -> -2 - a^(-4) + 3/a^2 + 3*a^2 - 
   4*a^4 + 2*a^6 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38104] -> -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 
   11*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38105] -> 
  -5 - 2/a^8 + 5/a^6 - 6/a^4 + 7/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (25*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (33*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38106] -> 2 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) - 2*a^2 + 
   a^4 + 6*z^2 - z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38107] -> a^(-2) - 2*a^2 + 3*a^4 - 3*a^6 + 4*a^8 - 
   2*a^10 - 2*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 38108] -> a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 5*a^4 - 
   2*a^6 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 38109] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   z^6/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38110] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 7*z^2 - (2*z^2)/a^2 + 31*a^2*z^2 - 
   23*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - (5*z^4)/a^2 + 30*a^2*z^4 - 23*a^4*z^4 + 
   4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 17*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 38111] -> -1 - a^(-2) + 9*a^2 - 8*a^4 + 2*a^6 - z^2 - 
   (3*z^2)/a^2 + 22*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   23*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 38112] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38113] -> 
  -1 - a^(-6) + a^(-4) + a^(-2) + 2*a^2 - a^4 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 38114] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38115] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   18*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38116] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 38117] -> -2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 - 
   a^2 + a^4 + 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 38118] -> 2 - a^(-12) + 3/a^10 - 4/a^8 + 
   4/a^6 - 2/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (4*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38119] -> 
  -3 + 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 + 3*a^8 - 2*a^10 - 7*z^2 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 9*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 7*z^4 + 
   z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 38120] -> a^(-2) - 2*a^4 + a^6 + 3*a^8 - 2*a^10 - 
   2*z^2 + (2*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 5*z^4 + z^4/a^2 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 38121] -> a^2 + a^10 - a^12 + 3*a^2*z^2 - a^4*z^2 + 
   4*a^10*z^2 - a^12*z^2 + z^4 - 3*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 38122] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - 
   a^2 + 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38123] -> 
  -1 + a^(-4) + a^4 - 5*z^2 + 2*a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38124] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2/a^6 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 38125] -> -3 + a^(-4) + 4*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38126] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 22*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38127] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38128] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38129] -> -7 + a^(-6) - 2/a^4 + 4/a^2 + 7*a^2 - 
   2*a^4 - 21*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38130] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 3*z^2 - 
   z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38131] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 
   (6*z^2)/a^8 - (7*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (8*z^4)/a^8 - (8*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 38132] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38133] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38134] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38135] -> 
  3*a^4 - 2*a^6 - 5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38136] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38137] -> a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38138] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + 
   z^4 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38139] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (11*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - (13*z^4)/a^8 + 
   (20*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 38140] -> 1 - a^2 + a^4 + 3*a^6 - 5*a^8 + 
   2*a^10 + z^2 - 3*a^2*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   2*a^2*z^4 - 5*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38141] -> 
  1 - a^2 + 3*a^4 - 2*a^6 - a^8 + a^10 - 3*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38142] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38143] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (16*z^4)/a^4 - z^6/a^10 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38144] -> 
  -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 11*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38145] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 23*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38146] -> 
  2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 2*a^10 - a^12 + 4*a^2*z^2 - 9*a^4*z^2 + 
   14*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 
   22*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38147] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   7*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38148] -> 
  1 + a^(-10) - 3/a^8 + 6/a^6 - 7/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38149] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38150] -> 
  -1 + 6*a^2 - 9*a^4 + 9*a^6 - 5*a^8 + a^10 - 2*z^2 + 12*a^2*z^2 - 
   21*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4/a^2 + 10*a^2*z^4 - 
   21*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 + 
   6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 38151] -> 
  -13 + a^(-6) - 4/a^4 + 10/a^2 + 9*a^2 - 2*a^4 - 31*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (23*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 29*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38152] -> 
  -13 + a^(-6) - 4/a^4 + 10/a^2 + 9*a^2 - 2*a^4 - 33*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (23*z^2)/a^2 + 21*a^2*z^2 - 5*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (24*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38153] -> 
  -12 + a^(-6) - 3/a^4 + 7/a^2 + 12*a^2 - 4*a^4 - 32*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (20*z^2)/a^2 + 25*a^2*z^2 - 6*a^4*z^2 - 34*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (23*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38154] -> 
  -4 + a^(-2) + 8*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + z^2/a^4 + z^2/a^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 12*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 38155] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 7*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (20*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38156] -> 
  -4 - 3/a^6 + 5/a^4 + a^(-2) + 2*a^2 - 14*z^2 - (7*z^2)/a^6 + (15*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + 
   (7*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38157] -> 
  -3 - 3/a^6 + 5/a^4 + a^(-2) + a^4 - 8*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 38158] -> 
  -3 - a^(-8) + 3/a^4 + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + z^2/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 38159] -> -2 - a^(-8) + 3/a^4 + a^4 - 5*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 38160] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 4*a^2 + 4*a^4 - a^6 + 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38161] -> 2*a^6 - 2*a^8 + 8*a^10 - 12*a^12 + 6*a^14 - 
   a^16 + 7*a^6*z^2 - 6*a^8*z^2 + 24*a^10*z^2 - 22*a^12*z^2 + 5*a^14*z^2 + 
   a^4*z^4 + 7*a^6*z^4 - 9*a^8*z^4 + 25*a^10*z^4 - 10*a^12*z^4 + a^4*z^6 + 
   a^6*z^6 - 8*a^8*z^6 + 9*a^10*z^6 - a^6*z^8 - 3*a^8*z^8, 
 Knot[15, Alternating, 38162] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38163] -> -6 + a^(-6) - 7/a^4 + 12/a^2 + a^2 - 
   17*z^2 - (11*z^2)/a^4 + (28*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38164] -> 
  -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38165] -> 
  -11 - a^(-4) + 6/a^2 + 11*a^2 - 5*a^4 + a^6 - 24*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38166] -> 
  -3 - 2/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (21*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (30*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38167] -> -2 - 2/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + a^4 - 
   z^2 - z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38168] -> -9 + a^(-6) - 2/a^4 + 5/a^2 + 8*a^2 - 
   2*a^4 - 25*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 16*a^2*z^2 - 
   3*a^4*z^2 - 26*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38169] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^4 - a^6 - 
   6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38170] -> 1 - a^2 + 3*a^6 - 2*a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 4*z^4 + 13*a^2*z^4 - 
   22*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38171] -> 2*a^2 - a^4 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38172] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 2*a^2 + 
   2*a^4 - a^6 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 4*a^4*z^2 - 
   a^6*z^2 - 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38173] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 2*a^2 + 
   2*a^4 - a^6 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 38174] -> -4 + a^(-6) - 2/a^4 + 3/a^2 + 3*a^2 + a^4 - 
   a^6 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 38175] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 
   2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 + (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38176] -> a^(-8) - a^(-6) + a^2 - z^2 + z^2/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 38177] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38178] -> 3*a^4 - 2*a^6 + 3*a^4*z^2 + 3*a^6*z^2 - 
   6*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + a^2*z^4 - 5*a^4*z^4 + 13*a^6*z^4 - 
   12*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38179] -> 4 - 2/a^2 - a^4 + 5*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38180] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38181] -> 
  1 + a^2 - 2*a^4 + a^6 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38182] -> -2/a^6 + 3/a^4 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38183] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38184] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - 4*a^4*z^2 + a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38185] -> 
  -4 + 2/a^2 + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 18*z^2 + (5*z^2)/a^2 + 
   22*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 26*z^4 + (7*z^4)/a^2 + 
   30*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 17*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38186] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   11*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38187] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38188] -> -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 
   8*z^2 - z^2/a^8 + (8*z^2)/a^6 - (21*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (20*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (12*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38189] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   17*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - 
   (11*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38190] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 7*z^2 + (9*z^2)/a^6 - (26*z^2)/a^4 + 
   (25*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 + z^4/a^6 - (27*z^4)/a^4 + 
   (26*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - (16*z^6)/a^4 + 
   (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38191] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38192] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38193] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   14*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   21*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38194] -> 
  -a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 - a^2 + a^4 + 2*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38195] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (7*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 38196] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 38197] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38198] -> 1 - a^(-6) + 2/a^2 - a^2 + 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38199] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - 
   z^2/a^14 + (4*z^2)/a^12 - (10*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38200] -> -1 - 3/a^6 + 5/a^4 - a^2 + a^4 - 3*z^2 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 38201] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 + z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (10*z^2)/a^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (4*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 38202] -> -a^(-8) + 3/a^4 - a^(-2) - a^2 + 
   a^4 - 2*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 2*z^4 - z^4/a^8 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 38203] -> 
  -1 - a^(-8) + a^(-6) + 2/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38204] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38205] -> 
  -9 + 4/a^2 + 8*a^2 - 2*a^4 - 24*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 26*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38206] -> 
  1 - a^(-8) + 4/a^6 - 7/a^4 + 5/a^2 - a^2 + 3*z^2 + (7*z^2)/a^6 - 
   (16*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38207] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 16*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38208] -> 
  -4 + 3/a^2 + 3*a^4 - a^6 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38209] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + z^2 + a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38210] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 - 
   (4*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 38211] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + 
   a^2 - 17*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 
   18*z^4 - (11*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38212] -> 
  a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + 3*a^4 - a^6 - 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38213] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 
   3*z^2 + z^2/a^4 + 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 38214] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^6 + z^2/a^4 + 4*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 38215] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   z^4/a^8 + z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38216] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 38217] -> 
  3*a^4 - 2*a^6 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38218] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 38219] -> 1 - z^2 + z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38220] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   14*z^2 + z^2/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38221] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38222] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + 
   a^2 - 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 38223] -> 3/a^10 - 9/a^8 + 7/a^6 + z^2/a^12 - 
   (13*z^2)/a^8 + (17*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 - (2*z^4)/a^8 + (19*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38224] -> 
  3/a^6 - 7/a^4 + 5/a^2 - z^2 + z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - (5*z^4)/a^8 + z^4/a^4 + 
   z^4/a^2 - z^6 - (3*z^6)/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 38225] -> 
  1 + a^6 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 38226] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38227] -> -2 + a^(-4) + 4*a^2 - 3*a^4 + a^8 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   (3*z^4)/a^4 + 7*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 38228] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   7*z^2 + z^2/a^8 + (8*z^2)/a^6 - (25*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (20*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 - (3*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38229] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38230] -> 
  -2/a^14 + 5/a^12 - 10/a^8 + 8/a^6 - (5*z^2)/a^14 + (21*z^2)/a^12 - 
   (14*z^2)/a^10 - (19*z^2)/a^8 + (20*z^2)/a^6 - (4*z^4)/a^14 + 
   (29*z^4)/a^12 - (33*z^4)/a^10 - (19*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (31*z^6)/a^10 - (14*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (13*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 38231] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 
   5*a^4 + 2*a^6 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 - z^4/a^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38232] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38233] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + z^4/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 38234] -> -3/a^6 + 5/a^4 - a^(-2) - 
   z^2/a^10 + z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38235] -> -4 + 2/a^8 - 8/a^6 + 5/a^4 + 6/a^2 - 
   12*z^2 + (7*z^2)/a^8 - (30*z^2)/a^6 + (27*z^2)/a^4 + (15*z^2)/a^2 - 
   13*z^4 + (5*z^4)/a^8 - (37*z^4)/a^6 + (46*z^4)/a^4 + (18*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (18*z^6)/a^6 + (37*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38236] -> -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - (9*z^2)/a^6 + (19*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 - z^4/a^6 + (22*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 38237] -> 2 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38238] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + 
   z^2/a^12 + (4*z^2)/a^10 - (18*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (11*z^6)/a^10 + (11*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (9*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 38239] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38240] -> 
  -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - z^2 + z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38241] -> a^(-4) - a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 38242] -> 
  -6 + a^(-4) + a^(-2) + 9*a^2 - 6*a^4 + 2*a^6 - 16*z^2 + (2*z^2)/a^2 + 
   22*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38243] -> -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38244] -> 
  -6 - a^(-8) + a^(-6) - 2/a^4 + 7/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38245] -> -2/a^14 + 5/a^12 - 2/a^10 - 4/a^8 + 2/a^6 + 
   2/a^4 - (3*z^2)/a^14 + (15*z^2)/a^12 - (11*z^2)/a^10 - (8*z^2)/a^8 + 
   (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (17*z^4)/a^10 - 
   (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 38246] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 
   5*a^4 + 2*a^6 - 4*z^2 - (2*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38247] -> 
  1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - (3*z^2)/a^2 - 
   a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + z^4/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 38248] -> -4 + a^(-4) + a^(-2) + 3*a^2 + a^4 - 2*a^6 + 
   a^8 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 38249] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 24*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 26*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 14*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38250] -> 
  1 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38251] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (15*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 38252] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + 
   a^6 - 21*z^2 + (6*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   17*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 38253] -> 
  -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 
   15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - z^4/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 + (2*z^6)/a^4 + z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38254] -> 3 - a^(-2) - 2*a^4 + a^6 - 2*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38255] -> -7 + a^(-6) - 2/a^4 + 4/a^2 + 7*a^2 - 
   2*a^4 - 22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (22*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38256] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38257] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 24*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   23*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 32*z^4 - (5*z^4)/a^4 + (22*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38258] -> 
  -4 + 2/a^2 + 5*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 17*z^2 + (5*z^2)/a^2 + 
   22*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 
   30*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38259] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38260] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (4*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38261] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38262] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 2*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38263] -> 2*a^2 - 3*a^4 + 7*a^6 - 10*a^8 + 
   7*a^10 - 2*a^12 + 7*a^2*z^2 - 17*a^4*z^2 + 26*a^6*z^2 - 25*a^8*z^2 + 
   12*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 27*a^4*z^4 + 32*a^6*z^4 - 
   23*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 17*a^4*z^6 + 19*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38264] -> 2*a^2 - a^4 + a^6 - 3*a^8 + 3*a^10 - a^12 + 
   2*z^2 - a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   5*a^2*z^4 - 2*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 38265] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38266] -> -6 + a^(-6) - 3/a^4 + 5/a^2 + 6*a^2 - 
   2*a^4 - 18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (18*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38267] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   15*a^2*z^4 - 20*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38268] -> -4 - a^(-6) + a^(-4) + 2/a^2 + 5*a^2 - 
   2*a^4 - 11*z^2 + (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38269] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38270] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   5*z^2 + z^2/a^8 + (6*z^2)/a^6 - (20*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (4*z^4)/a^6 - (20*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38271] -> -5 + 2/a^2 + 9*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 - 19*z^2 + (5*z^2)/a^2 + 28*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 27*z^4 + (7*z^4)/a^2 + 33*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 
   18*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 38272] -> 
  3 - a^(-2) - 2*a^4 + a^6 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38273] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38274] -> -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - 
   (7*z^2)/a^14 + (28*z^2)/a^12 - (27*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^4)/a^14 + (36*z^4)/a^12 - (44*z^4)/a^10 - 
   (11*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (36*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 38275] -> 
  -2/a^14 + 6/a^12 - 4/a^10 - 3/a^8 + 2/a^6 + 2/a^4 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (8*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (16*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38276] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38277] -> -2/a^12 + 5/a^10 - 6/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^14 + z^2/a^12 + (11*z^2)/a^10 - (15*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (7*z^4)/a^10 - 
   (19*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38278] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   10*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38279] -> 2 + a^(-8) - 5/a^6 + 6/a^4 - 2/a^2 - a^2 + 
   4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38280] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38281] -> 
  1 - a^(-10) - a^(-8) + 5/a^6 - 3/a^4 + 2*z^2 - z^2/a^10 + (11*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (11*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38282] -> 1 - a^(-10) + a^(-8) + 3/a^6 - 5/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38283] -> -4 + 3/a^4 - 4/a^2 + 10*a^2 - 4*a^4 - 
   13*z^2 + (8*z^2)/a^4 - (13*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 18*z^4 + 
   (8*z^4)/a^4 - (16*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38284] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38285] -> -6 - 3/a^6 + 3/a^4 + 5/a^2 + 2*a^2 - 
   16*z^2 - (5*z^2)/a^6 + (7*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38286] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38287] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38288] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^8 - (4*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38289] -> -6 + a^(-6) - 4/a^4 + 8/a^2 + a^2 + a^4 - 
   10*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38290] -> 
  -1 + a^(-2) + a^2 - 3*a^4 + 6*a^6 - 3*a^8 - 7*z^2 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38291] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 
   17*z^2 + z^2/a^4 + (2*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 20*z^4 + 
   (3*z^4)/a^4 + 21*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38292] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (10*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38293] -> -1 + a^(-2) + 2*a^2 - 5*a^4 + 7*a^6 - 
   3*a^8 - 6*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 17*a^4*z^2 + 16*a^6*z^2 - 
   3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38294] -> 
  -2/a^14 + 6/a^12 - 4/a^10 - 4/a^8 + 4/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (15*z^2)/a^12 - (12*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (14*z^4)/a^10 - (17*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38295] -> -1 + a^(-2) + a^2 - 3*a^4 + 6*a^6 - 3*a^8 - 
   5*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38296] -> 
  -5 + 2/a^2 + 8*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 15*z^2 + (5*z^2)/a^2 + 
   20*a^2*z^2 - 22*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38297] -> 3 + a^(-4) - 2/a^2 - 3*a^2 + 
   2*a^4 + a^6 - a^8 + 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (5*z^4)/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 38298] -> 
  -2/a^14 + 6/a^12 - 5/a^10 - 2/a^8 + 3/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (16*z^2)/a^12 - (15*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (17*z^4)/a^10 - (15*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 38299] -> 
  -2/a^14 + 6/a^12 - 5/a^10 - a^(-8) + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (14*z^2)/a^12 - (12*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (15*z^4)/a^10 - (10*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (10*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38300] -> -2/a^14 + 5/a^12 - 2/a^10 - 2/a^8 - 2/a^6 + 
   4/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - (7*z^2)/a^10 - (7*z^2)/a^8 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   (11*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 38301] -> 1 - a^(-12) + 2/a^10 - 2/a^8 + 
   3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + 
   (9*z^2)/a^6 - (7*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38302] -> -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - (11*z^2)/a^10 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (14*z^4)/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38303] -> 1 - a^(-8) + 2/a^6 - a^(-2) - a^2 + a^4 + 
   z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + z^4/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38304] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + (3*z^2)/a^16 - (18*z^2)/a^14 + 
   (7*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + 
   (24*z^4)/a^12 + (25*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (20*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 38305] -> 
  -a^(-12) + a^(-10) + 2/a^8 - 4/a^6 + 4/a^4 - 2/a^2 + a^2 - z^2 + 
   (4*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 38306] -> 
  -13 + a^(-6) - 4/a^4 + 10/a^2 + 9*a^2 - 2*a^4 - 31*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (23*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 29*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38307] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 18*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (20*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38308] -> 
  -a^(-12) + 2/a^10 - a^(-8) + a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (5*z^4)/a^8 - 
   z^4/a^4 - (2*z^4)/a^2 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 38309] -> 1 - a^(-4) + a^(-2) + 2*a^2 - 3*a^4 + a^6 - 
   z^2 - z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38310] -> 
  -5 - a^(-8) + a^(-6) - a^(-4) + 5/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38311] -> -1 + 5*a^2 - 4*a^4 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38312] -> 
  -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38313] -> 1 - 2/a^10 + 5/a^8 - 4/a^6 + a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38314] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 
   5*z^4 - z^4/a^4 + (7*z^4)/a^2 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38315] -> 
  -3 + 2/a^2 + 4*a^2 - 5*a^4 + 4*a^6 - a^8 - 17*z^2 + (5*z^2)/a^2 + 
   20*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 26*z^4 + (7*z^4)/a^2 + 
   29*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + (4*z^6)/a^2 + 17*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38316] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38317] -> -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38318] -> 2 - a^(-2) + a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   2*z^2 - z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38319] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 38320] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (6*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38321] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (16*z^2)/a^8 + (22*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 + (23*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 + (13*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 38322] -> -3 - a^(-6) + 4/a^2 + a^2 - 11*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38323] -> 
  a^(-2) - a^2 + a^4 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38324] -> 
  -7 - 3/a^6 + 2/a^4 + 7/a^2 + 2*a^2 - 19*z^2 - (5*z^2)/a^6 + (6*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + 
   (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38325] -> 
  -5 - a^(-8) - a^(-6) + 3/a^4 + 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^8 - z^2/a^6 + 
   (9*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (2*z^4)/a^8 + 
   (10*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 38326] -> 4 - a^(-8) + 3/a^4 - 3/a^2 - 3*a^2 + a^4 + 
   8*z^2 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38327] -> -1 + a^(-6) - 2/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38328] -> 
  -2 + a^(-2) + 5*a^2 - 9*a^4 + 10*a^6 - 4*a^8 - 7*z^2 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 24*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 28*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38329] -> -2/a^14 + 5/a^12 - a^(-10) - 
   6/a^8 + 3/a^6 + 2/a^4 - (3*z^2)/a^14 + (15*z^2)/a^12 - (10*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (17*z^4)/a^10 - (14*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 38330] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (8*z^4)/a^8 + 
   (13*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 38331] -> 2 + a^(-10) - 6/a^8 + 12/a^6 - 9/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (11*z^2)/a^8 + (26*z^2)/a^6 - (18*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (7*z^4)/a^8 + (23*z^4)/a^6 - (12*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38332] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 3*z^2 - z^2/a^10 - z^2/a^8 + 
   (9*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38333] -> 2 - a^(-8) + 3/a^4 - 2/a^2 - 2*a^2 + a^4 + 
   4*z^2 - z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38334] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38335] -> 1 - a^(-8) + a^(-6) + a^(-2) - 2*a^2 + a^4 + 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38336] -> -2/a^14 + 5/a^12 - 3/a^10 - 2/a^6 + 2/a^4 + 
   a^(-2) - z^2/a^14 + (9*z^2)/a^12 - (7*z^2)/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (7*z^4)/a^10 - 
   (7*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 38337] -> 
  -1 - a^(-8) + a^(-6) + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38338] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38339] -> -2/a^14 + 5/a^12 - 3/a^10 - a^(-8) + 
   a^(-4) + a^(-2) - z^2/a^14 + (9*z^2)/a^12 - (7*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (7*z^4)/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 38340] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 
   2*z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38341] -> 3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 38342] -> -4 + a^(-6) - 2/a^4 + 3/a^2 + 4*a^2 - a^4 - 
   17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38343] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 
   2*a^8 - 9*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38344] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 21*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   19*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 30*z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38345] -> 
  -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 17*z^2 + (5*z^2)/a^2 + 
   20*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 25*z^4 + (6*z^4)/a^2 + 
   30*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (4*z^6)/a^2 + 18*a^2*z^6 - 
   6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38346] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38347] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 4*z^2 + 15*a^2*z^2 - 21*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 6*z^4 + 24*a^2*z^4 - 31*a^4*z^4 + 
   19*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38348] -> 
  2*a^2 - 3*a^4 + 3*a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 7*a^2*z^2 - 15*a^4*z^2 + 
   20*a^6*z^2 - 15*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 6*a^2*z^4 - 
   26*a^4*z^4 + 28*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   17*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 38349] -> 2*a^2 - 3*a^4 + 3*a^6 - a^8 + 
   a^10 - a^12 + 2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 + 
   z^4 - 5*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 38350] -> 
  -2 + a^(-2) + 3*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 9*z^2 + (3*z^2)/a^2 + 
   14*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38351] -> -2 + a^(-2) + 2*a^2 + a^6 - 
   a^8 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38352] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 38353] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 
   3*a^4 - 16*z^2 + z^2/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 18*z^4 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38354] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2/a^6 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 38355] -> 
  -1 + a^(-2) + a^2 - 4*a^4 + 8*a^6 - 4*a^8 - 6*z^2 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 19*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38356] -> -5 + a^(-6) - 4/a^4 + 8/a^2 - 
   a^2 + 2*a^4 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38357] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38358] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38359] -> 1 - 2/a^8 + 3/a^6 + a^(-4) - 2/a^2 - a^2 + 
   a^4 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 38360] -> 2 - a^(-8) + 3/a^4 - 2/a^2 - 
   2*a^2 + a^4 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38361] -> 
  a^(-6) - 2/a^4 + 2/a^2 - 2*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38362] -> -3 + 2/a^2 + a^2 + 3*a^4 - 3*a^6 + a^8 - 
   7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38363] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 - 8*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 38364] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   2*a^4 - a^6 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 38365] -> -3 + 2/a^2 + 2*a^2 + a^4 - 
   2*a^6 + a^8 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 5*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38366] -> -3 + 2/a^2 + 2*a^2 - a^6 + 2*a^8 - a^10 - 
   9*z^2 + (3*z^2)/a^2 + 6*a^2*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 38367] -> 
  3*a^2 - 3*a^4 + a^6 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 15*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38368] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + a^2 + 2*a^4 - 
   a^6 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 38369] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38370] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + 2*a^8 - a^10 - 9*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 - 3*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 38371] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 + 4*z^2 - (2*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   6*z^4 - (2*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + 
   a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38372] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - (6*z^2)/a^8 + (16*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + z^4/a^8 + (15*z^4)/a^6 - 
   (18*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38373] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 3*z^2 + (6*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - z^4/a^6 - (15*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38374] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 13*z^2 + z^2/a^4 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 17*z^4 + (3*z^4)/a^4 - z^4/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38375] -> -6 + a^(-4) + 10*a^2 - 4*a^4 - 21*z^2 + 
   (3*z^2)/a^4 + 27*a^2*z^2 - 8*a^4*z^2 - 25*z^4 + (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38376] -> 
  -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 2*a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 38377] -> -2/a^14 + 6/a^12 - 5/a^10 - a^(-8) + 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (16*z^2)/a^12 - (14*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (18*z^4)/a^10 - (13*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 38378] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 - a^2 + 3*a^4 - a^6 - 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38379] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38380] -> -3 + 2/a^2 + 3*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 
   18*z^2 + (5*z^2)/a^2 + 23*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 
   27*z^4 + (7*z^4)/a^2 + 32*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 18*z^6 + 
   (4*z^6)/a^2 + 18*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38381] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   4*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38382] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 8*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (21*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (20*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (12*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38383] -> 
  -a^(-6) + a^(-4) + a^(-2) - a^2 + 2*a^4 - a^6 + 3*z^2 + z^2/a^4 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38384] -> 1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 
   4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   9*z^4 - z^4/a^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38385] -> 
  -2/a^14 + 6/a^12 - 6/a^10 + 3/a^8 - 4/a^6 + 4/a^4 - (3*z^2)/a^14 + 
   (15*z^2)/a^12 - (15*z^2)/a^10 + (3*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (16*z^4)/a^10 - (5*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38386] -> -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 
   5*z^2 - z^2/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (27*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38387] -> -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 
   21*z^2 - z^2/a^4 + (7*z^2)/a^2 + 27*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   24*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38388] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - a^2 + 2*a^4 - a^6 + 2*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38389] -> 4 - a^(-8) + 3/a^6 - 2/a^4 - 2/a^2 - a^2 + 
   8*z^2 + z^2/a^8 + z^2/a^6 - z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38390] -> 3 - a^(-8) + 3/a^6 - 3/a^4 - a^2 + 6*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (9*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38391] -> -4 + 3/a^2 + 3*a^4 - a^6 - 8*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 38392] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38393] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 
   17*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - 
   (11*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38394] -> 
  -4*a^4 + 10*a^6 + a^8 - 10*a^10 + 4*a^12 - 12*a^4*z^2 + 25*a^6*z^2 + 
   20*a^8*z^2 - 33*a^10*z^2 + 8*a^12*z^2 - 13*a^4*z^4 + 26*a^6*z^4 + 
   40*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 
   33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 38395] -> 
  -4 + 10*a^2 - 4*a^4 - 2*a^6 + a^8 - z^2 - (2*z^2)/a^2 + 18*a^2*z^2 - 
   13*a^4*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 17*a^4*z^4 + 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38396] -> 
  -2*a^4 + a^6 + 15*a^8 - 19*a^10 + 6*a^12 - 9*a^4*z^2 + 10*a^6*z^2 + 
   43*a^8*z^2 - 44*a^10*z^2 + 9*a^12*z^2 - 12*a^4*z^4 + 17*a^6*z^4 + 
   56*a^8*z^4 - 41*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 14*a^6*z^6 + 
   39*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 38397] -> 
  -4*a^4 + 11*a^6 - 2*a^8 - 7*a^10 + 3*a^12 - 2*a^2*z^2 - 5*a^4*z^2 + 
   24*a^6*z^2 + 3*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   24*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 38398] -> 6/a^8 - 25/a^6 + 31/a^4 - 11/a^2 + 
   (17*z^2)/a^8 - (78*z^2)/a^6 + (106*z^2)/a^4 - (37*z^2)/a^2 + 
   (17*z^4)/a^8 - (95*z^4)/a^6 + (143*z^4)/a^4 - (44*z^4)/a^2 + (7*z^6)/a^8 - 
   (57*z^6)/a^6 + (103*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + 
   (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 38399] -> -3 + 4/a^8 - 15/a^6 + 14/a^4 + 
   a^(-2) - 11*z^2 + (8*z^2)/a^8 - (33*z^2)/a^6 + (30*z^2)/a^4 + 
   (13*z^2)/a^2 - 11*z^4 + (5*z^4)/a^8 - (29*z^4)/a^6 + (29*z^4)/a^4 + 
   (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (17*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 38400] -> -4*a^4 + 10*a^6 + a^8 - 
   10*a^10 + 4*a^12 - 12*a^4*z^2 + 25*a^6*z^2 + 20*a^8*z^2 - 33*a^10*z^2 + 
   8*a^12*z^2 - 13*a^4*z^4 + 26*a^6*z^4 + 40*a^8*z^4 - 36*a^10*z^4 + 
   5*a^12*z^4 - 6*a^4*z^6 + 16*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 
   2*a^8*z^10, Knot[15, Alternating, 38401] -> -7 - 2/a^8 + 9/a^6 - 16/a^4 + 
   15/a^2 + 2*a^2 - 26*z^2 - z^2/a^8 + (12*z^2)/a^6 - (32*z^2)/a^4 + 
   (39*z^2)/a^2 + 7*a^2*z^2 - 32*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (39*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 38402] -> -4 + 14*a^2 - 14*a^4 + 6*a^6 - a^8 - 8*z^2 + 
   31*a^2*z^2 - 31*a^4*z^2 + 9*a^6*z^2 + a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 
   30*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - z^6 + 12*a^2*z^6 - 17*a^4*z^6 - 
   8*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38403] -> 
  -2 + a^2 + 11*a^4 - 13*a^6 + 4*a^8 - 7*z^2 + 13*a^2*z^2 + 16*a^4*z^2 - 
   28*a^6*z^2 + 10*a^8*z^2 - 5*z^4 + 20*a^2*z^4 + 3*a^4*z^4 - 27*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38404] -> -4 + 10*a^2 - 3*a^4 - 4*a^6 + 2*a^8 - z^2 - 
   (2*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 11*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38405] -> -4 + 15*a^2 - 17*a^4 + 9*a^6 - 2*a^8 - 
   15*z^2 + (2*z^2)/a^2 + 37*a^2*z^2 - 33*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - 
   17*z^4 + (3*z^4)/a^2 + 34*a^2*z^4 - 21*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 38406] -> 
  -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 39*z^2 - (5*z^2)/a^4 + 
   (24*z^2)/a^2 + 27*a^2*z^2 - 5*a^4*z^2 - 37*z^4 - (4*z^4)/a^4 + 
   (24*z^4)/a^2 + 14*a^2*z^4 + a^4*z^4 - 19*z^6 - z^6/a^4 + (11*z^6)/a^2 - 
   2*a^2*z^6 + 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 38407] -> 6/a^8 - 24/a^6 + 29/a^4 - 
   10/a^2 + (17*z^2)/a^8 - (76*z^2)/a^6 + (101*z^2)/a^4 - (35*z^2)/a^2 + 
   (17*z^4)/a^8 - (94*z^4)/a^6 + (139*z^4)/a^4 - (43*z^4)/a^2 + (7*z^6)/a^8 - 
   (57*z^6)/a^6 + (102*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + 
   (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 38408] -> -2 + 4/a^8 - 15/a^6 + 15/a^4 - 
   a^(-2) - 9*z^2 + (8*z^2)/a^8 - (33*z^2)/a^6 + (32*z^2)/a^4 + (8*z^2)/a^2 - 
   10*z^4 + (5*z^4)/a^8 - (29*z^4)/a^6 + (30*z^4)/a^4 + (18*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38409] -> -3 + 4/a^8 - 14/a^6 + 12/a^4 + 2/a^2 - 
   12*z^2 + (8*z^2)/a^8 - (31*z^2)/a^6 + (24*z^2)/a^4 + (17*z^2)/a^2 - 
   13*z^4 + (5*z^4)/a^8 - (28*z^4)/a^6 + (23*z^4)/a^4 + (28*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (12*z^6)/a^6 + (15*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38410] -> -5 + 2/a^8 - 5/a^6 - 2/a^4 + 11/a^2 - 
   4*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (22*z^2)/a^2 - 
   3*a^2*z^2 + 2*z^4 + z^4/a^8 - (7*z^4)/a^6 - z^4/a^4 + (19*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 38411] -> 
  -4*a^4 + 10*a^6 - 8*a^10 + 3*a^12 - 2*a^2*z^2 - 5*a^4*z^2 + 21*a^6*z^2 + 
   10*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 21*a^6*z^4 + 
   18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 38412] -> -2 + 7*a^2 - 9*a^4 + 11*a^6 - 8*a^8 + 
   2*a^10 - 5*z^2 + 19*a^2*z^2 - 23*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 23*a^4*z^4 + 10*a^6*z^4 - z^6 + 
   10*a^2*z^6 - 13*a^4*z^6 - 3*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38413] -> 
  -4 + 2/a^8 - 6/a^6 + a^(-4) + 8/a^2 - 9*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (10*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (16*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38414] -> 
  -3 + 4/a^6 - 16/a^4 + 18/a^2 - 2*a^2 + (8*z^2)/a^6 - (36*z^2)/a^4 + 
   (41*z^2)/a^2 - 7*a^2*z^2 + 11*z^4 + (5*z^4)/a^6 - (32*z^4)/a^4 + 
   (40*z^4)/a^2 - 9*a^2*z^4 + 13*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (22*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 38415] -> 
  -4 + 2/a^8 - 6/a^6 + a^(-4) + 8/a^2 - 9*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (10*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (16*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38416] -> 
  -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 27*z^2 + (5*z^2)/a^2 + 45*a^2*z^2 - 
   21*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + (4*z^4)/a^2 + 41*a^2*z^4 - 10*a^4*z^4 - 
   2*a^6*z^4 - 11*z^6 + z^6/a^2 + 20*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 38417] -> -16 - 2/a^4 + 9/a^2 + 15*a^2 - 5*a^4 - 
   39*z^2 - (5*z^2)/a^4 + (24*z^2)/a^2 + 27*a^2*z^2 - 5*a^4*z^2 - 37*z^4 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 + a^4*z^4 - 19*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 38418] -> 
  -16 - 4/a^4 + 14/a^2 + 9*a^2 - 3*a^4 + a^6 - 40*z^2 - (4*z^2)/a^4 + 
   (25*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 38*z^4 - z^4/a^4 + 
   (15*z^4)/a^2 + 28*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 17*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38419] -> 
  -2 + 7*a^2 - 9*a^4 + 11*a^6 - 8*a^8 + 2*a^10 - 5*z^2 + 19*a^2*z^2 - 
   23*a^4*z^2 + 21*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 
   23*a^4*z^4 + 10*a^6*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 3*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 38420] -> -25 - 4/a^4 + 16/a^2 + 23*a^2 - 
   12*a^4 + 3*a^6 - 50*z^2 - (4*z^2)/a^4 + (26*z^2)/a^2 + 46*a^2*z^2 - 
   25*a^4*z^2 + 6*a^6*z^2 - 41*z^4 - z^4/a^4 + (15*z^4)/a^2 + 39*a^2*z^4 - 
   22*a^4*z^4 + 4*a^6*z^4 - 17*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38421] -> -11 + 2/a^2 + 20*a^2 - 12*a^4 + 2*a^6 - 
   27*z^2 + (5*z^2)/a^2 + 45*a^2*z^2 - 21*a^4*z^2 + 2*a^6*z^2 - 25*z^4 + 
   (4*z^4)/a^2 + 41*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 - 11*z^6 + z^6/a^2 + 
   20*a^2*z^6 + 3*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 38422] -> 
  -7 - 2/a^6 + 5/a^4 + 7*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38423] -> 
  -10 + 4/a^2 + 14*a^2 - 13*a^4 + 8*a^6 - 2*a^8 - 21*z^2 + (4*z^2)/a^2 + 
   33*a^2*z^2 - 34*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 14*z^4 + z^4/a^2 + 
   33*a^2*z^4 - 34*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 16*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 38424] -> -13 + 2/a^6 - 7/a^4 + 13/a^2 + 
   7*a^2 - a^4 - 30*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (29*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + z^4/a^6 - (12*z^4)/a^4 + (28*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38425] -> -14 - 2/a^4 + 9/a^2 + 12*a^2 - 5*a^4 + a^6 - 
   32*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 29*z^4 - z^4/a^4 + (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38426] -> 
  -13 + 2/a^6 - 7/a^4 + 13/a^2 + 7*a^2 - a^4 - 30*z^2 + (3*z^2)/a^6 - 
   (16*z^2)/a^4 + (29*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (28*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38427] -> 
  -14 - 2/a^4 + 9/a^2 + 12*a^2 - 5*a^4 + a^6 - 32*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 27*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38428] -> 
  -7 - 2/a^8 + 8/a^6 - 14/a^4 + 14/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + 
   (13*z^2)/a^6 - (30*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38429] -> -2 + a^(-10) - 6/a^8 + 13/a^6 - 15/a^4 + 
   10/a^2 - 5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (35*z^2)/a^4 + 
   (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38430] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 8/a^4 + 4/a^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (18*z^2)/a^8 + (23*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 38431] -> -12 - 3/a^4 + 9/a^2 + 11*a^2 - 4*a^4 - 
   27*z^2 - (2*z^2)/a^4 + (14*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 26*z^4 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + 
   (4*z^6)/a^4 - (7*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38432] -> 
  -10 - a^(-8) + 6/a^6 - 12/a^4 + 14/a^2 + 4*a^2 - 21*z^2 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - (32*z^2)/a^4 + (33*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (33*z^4)/a^4 + (33*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + (16*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38433] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 4/a^2 - 3*a^2 + 
   2*a^4 + 4*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38434] -> 
  -7 - 2/a^8 + 8/a^6 - 14/a^4 + 14/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + 
   (13*z^2)/a^6 - (30*z^2)/a^4 + (32*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38435] -> -2 + a^(-10) - 6/a^8 + 13/a^6 - 15/a^4 + 
   10/a^2 - 5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (27*z^2)/a^6 - (35*z^2)/a^4 + 
   (23*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38436] -> 
  -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 36*z^2 - (5*z^2)/a^4 + 
   (24*z^2)/a^2 + 20*a^2*z^2 - 2*a^4*z^2 - 34*z^4 - (4*z^4)/a^4 + 
   (24*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 18*z^6 - z^6/a^4 + (11*z^6)/a^2 - 
   7*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 38437] -> 6/a^8 - 23/a^6 + 27/a^4 - 
   9/a^2 + (17*z^2)/a^8 - (73*z^2)/a^6 + (94*z^2)/a^4 - (32*z^2)/a^2 + 
   (17*z^4)/a^8 - (91*z^4)/a^6 + (130*z^4)/a^4 - (40*z^4)/a^2 + (7*z^6)/a^8 - 
   (56*z^6)/a^6 + (97*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + 
   (42*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 38438] -> -2 + 4/a^8 - 14/a^6 + 13/a^4 - 
   9*z^2 + (8*z^2)/a^8 - (31*z^2)/a^6 + (27*z^2)/a^4 + (10*z^2)/a^2 - 
   10*z^4 + (5*z^4)/a^8 - (28*z^4)/a^6 + (26*z^4)/a^4 + (19*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (16*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38439] -> -4 + 2/a^8 - 5/a^6 - a^(-4) + 9/a^2 - 
   10*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + (4*z^2)/a^4 + (21*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (10*z^4)/a^4 + (24*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38440] -> -8*a^2 + 26*a^4 - 24*a^6 + 7*a^8 - 
   24*a^2*z^2 + 85*a^4*z^2 - 82*a^6*z^2 + 25*a^8*z^2 - 22*a^2*z^4 + 
   104*a^4*z^4 - 117*a^6*z^4 + 35*a^8*z^4 - 8*a^2*z^6 + 62*a^4*z^6 - 
   91*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 18*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 38441] -> -2 + a^2 + 12*a^4 - 15*a^6 + 5*a^8 - 7*z^2 + 
   13*a^2*z^2 + 19*a^4*z^2 - 35*a^6*z^2 + 13*a^8*z^2 - 5*z^4 + 20*a^2*z^4 + 
   6*a^4*z^4 - 36*a^6*z^4 + 13*a^8*z^4 - z^6 + 11*a^2*z^6 - 6*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38442] -> 
  -4 + 10*a^2 - 2*a^4 - 6*a^6 + 3*a^8 - 8*z^2 + 23*a^2*z^2 - 3*a^4*z^2 - 
   19*a^6*z^2 + 9*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 7*a^4*z^4 - 24*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 11*a^2*z^6 - 9*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38443] -> -4 + 10*a^2 - 2*a^4 - 6*a^6 + 3*a^8 - z^2 - 
   (2*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 9*a^2*z^4 - 10*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38444] -> -6 - 2/a^4 + 7/a^2 - a^2 + 5*a^4 - 2*a^6 - 
   8*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38445] -> 5 + 2/a^8 - 7/a^6 + 8/a^4 - 5/a^2 - 2*a^2 + 
   9*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + 8*z^4 + z^4/a^8 - (8*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 38446] -> 
  5 - 2/a^2 - 4*a^2 + 7*a^4 - 8*a^6 + 3*a^8 + 9*z^2 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 9*a^4*z^2 - 15*a^6*z^2 + 6*a^8*z^2 + 7*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 2*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38447] -> -10 + 2/a^6 - 9/a^4 + 14/a^2 + 6*a^2 - 
   2*a^4 - 25*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (31*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 25*z^4 + z^4/a^6 - (12*z^4)/a^4 + (29*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38448] -> 
  -4 + 2/a^8 - 5/a^6 - a^(-4) + 9/a^2 - 2*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 - 
   (2*z^2)/a^4 + (17*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38449] -> -4 + 16*a^2 - 24*a^4 + 22*a^6 - 11*a^8 + 
   2*a^10 - 8*z^2 + 34*a^2*z^2 - 48*a^4*z^2 + 37*a^6*z^2 - 12*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 29*a^2*z^4 - 40*a^4*z^4 + 19*a^6*z^4 - a^8*z^4 - z^6 + 
   12*a^2*z^6 - 19*a^4*z^6 - a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38450] -> 
  -5 + 4/a^6 - 16/a^4 + 19/a^2 - a^2 - 5*z^2 + (8*z^2)/a^6 - (36*z^2)/a^4 + 
   (43*z^2)/a^2 - 5*a^2*z^2 + 7*z^4 + (5*z^4)/a^6 - (32*z^4)/a^4 + 
   (41*z^4)/a^2 - 8*a^2*z^4 + 12*z^6 + z^6/a^6 - (13*z^6)/a^4 + 
   (22*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (7*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 38451] -> 
  4 + 2/a^6 - 7/a^4 + 5/a^2 - 3*a^2 + 12*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 14*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 38452] -> -6 + 19*a^2 - 16*a^4 + 3*a^6 + a^8 - 
   11*z^2 + 42*a^2*z^2 - 37*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 
   36*a^2*z^4 - 37*a^4*z^4 - 8*a^6*z^4 + 8*a^8*z^4 - z^6 + 14*a^2*z^6 - 
   21*a^4*z^6 - 12*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38453] -> 
  3 - 2/a^2 + 5*a^2 - 7*a^4 + a^6 + a^8 + 8*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   14*a^4*z^2 + 3*a^8*z^2 + 7*z^4 - z^4/a^2 + a^2*z^4 - 14*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 8*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38454] -> 
  -10 + 2/a^6 - 9/a^4 + 14/a^2 + 6*a^2 - 2*a^4 - 25*z^2 + (3*z^2)/a^6 - 
   (17*z^2)/a^4 + (31*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + z^4/a^6 - 
   (12*z^4)/a^4 + (29*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38455] -> 
  -15 - 2/a^4 + 9/a^2 + 13*a^2 - 4*a^4 - 32*z^2 - (3*z^2)/a^4 + 
   (17*z^2)/a^2 + 28*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 29*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38456] -> 
  -20 + 4/a^2 + 33*a^2 - 19*a^4 + 3*a^6 - 42*z^2 + (8*z^2)/a^2 + 65*a^2*z^2 - 
   25*a^4*z^2 - 34*z^4 + (5*z^4)/a^2 + 54*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + z^6/a^2 + 25*a^2*z^6 + 7*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   7*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 38457] -> -8 + 28*a^2 - 30*a^4 + 12*a^6 - a^8 - 
   12*z^2 + 52*a^2*z^2 - 59*a^4*z^2 + 18*a^6*z^2 + a^8*z^2 - 6*z^4 + 
   39*a^2*z^4 - 50*a^4*z^4 + 4*a^6*z^4 + 5*a^8*z^4 - z^6 + 14*a^2*z^6 - 
   24*a^4*z^6 - 7*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 7*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38458] -> 
  12 - 4/a^2 - 9*a^2 + 2*a^4 - a^6 + a^8 + 18*z^2 - (4*z^2)/a^2 - 
   16*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 10*z^4 - z^4/a^2 - 
   12*a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^2*z^6 - 
   3*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38459] -> -14 + 2/a^6 - 7/a^4 + 13/a^2 + 9*a^2 - 
   2*a^4 - 34*z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + (30*z^2)/a^2 + 20*a^2*z^2 - 
   5*a^4*z^2 - 33*z^4 + z^4/a^6 - (12*z^4)/a^4 + (30*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38460] -> 
  -3 + 2/a^6 - 5/a^4 + 6/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 38461] -> 4*a^2 - 10*a^4 + 14*a^6 - 11*a^8 + 6*a^10 - 
   2*a^12 + 8*a^2*z^2 - 23*a^4*z^2 + 33*a^6*z^2 - 26*a^8*z^2 + 15*a^10*z^2 - 
   3*a^12*z^2 + 5*a^2*z^4 - 23*a^4*z^4 + 31*a^6*z^4 - 28*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 17*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 38462] -> -4 - 4/a^8 + 12/a^6 - 15/a^4 + 11/a^2 + 
   a^2 - 13*z^2 - (4*z^2)/a^8 + (24*z^2)/a^6 - (36*z^2)/a^4 + (27*z^2)/a^2 + 
   4*a^2*z^2 - 17*z^4 - z^4/a^8 + (15*z^4)/a^6 - (36*z^4)/a^4 + 
   (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - (17*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38463] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38464] -> 
  2 - 3*a^2 + a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 3*z^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 7*a^6*z^2 - 10*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 
   6*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 38465] -> -6 - 2/a^8 + 8/a^6 - 13/a^4 + 12/a^2 + 
   2*a^2 - 17*z^2 - z^2/a^8 + (12*z^2)/a^6 - (26*z^2)/a^4 + (26*z^2)/a^2 + 
   5*a^2*z^2 - 19*z^4 + (2*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38466] -> -14 - 3/a^4 + 10/a^2 + 12*a^2 - 4*a^4 - 
   31*z^2 - (3*z^2)/a^4 + (17*z^2)/a^2 + 28*a^2*z^2 - 8*a^4*z^2 - 28*z^4 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + 
   (4*z^6)/a^4 - (6*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38467] -> 
  -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + z^4/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 38468] -> 2/a^10 - 8/a^8 + 14/a^6 - 13/a^4 + 6/a^2 + 
   (2*z^2)/a^10 - (13*z^2)/a^8 + (30*z^2)/a^6 - (31*z^2)/a^4 + (11*z^2)/a^2 - 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (26*z^4)/a^6 - (30*z^4)/a^4 + (6*z^4)/a^2 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 38469] -> 2 + a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 - 
   a^(-2) + 3*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38470] -> 
  -4 - a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 5/a^2 + 2*a^2 - 8*z^2 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 38471] -> 4 + 2/a^8 - 6/a^6 + 9/a^4 - 8/a^2 + 4*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (10*z^2)/a^6 + (14*z^2)/a^4 - (14*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 - (5*z^4)/a^6 + (9*z^4)/a^4 - 
   (9*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 38472] -> 
  -a^(-12) + 7/a^10 - 18/a^8 + 25/a^6 - 20/a^4 + 8/a^2 - z^2/a^12 + 
   (9*z^2)/a^10 - (30*z^2)/a^8 + (48*z^2)/a^6 - (40*z^2)/a^4 + (12*z^2)/a^2 + 
   z^4/a^10 - (16*z^4)/a^8 + (38*z^4)/a^6 - (33*z^4)/a^4 + (6*z^4)/a^2 - 
   (3*z^6)/a^10 + z^6/a^8 + (18*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 38473] -> 6*a^6 - 13*a^8 + 15*a^10 - 8*a^12 + a^14 + 
   17*a^6*z^2 - 32*a^8*z^2 + 34*a^10*z^2 - 7*a^12*z^2 - 3*a^14*z^2 + 
   17*a^6*z^4 - 33*a^8*z^4 + 25*a^10*z^4 + 8*a^12*z^4 - 4*a^14*z^4 + 
   7*a^6*z^6 - 20*a^8*z^6 + 2*a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   7*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 38474] -> 2*a^4 - a^6 - 2*a^8 + 5*a^10 - 3*a^12 + 
   5*a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 
   4*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 38475] -> 8*a^6 - 20*a^8 + 26*a^10 - 
   18*a^12 + 6*a^14 - a^16 + 20*a^6*z^2 - 44*a^8*z^2 + 52*a^10*z^2 - 
   22*a^12*z^2 + 2*a^14*z^2 + 18*a^6*z^4 - 41*a^8*z^4 + 37*a^10*z^4 - 
   a^12*z^4 - 3*a^14*z^4 + 7*a^6*z^6 - 22*a^8*z^6 + 7*a^10*z^6 + 7*a^12*z^6 - 
   a^14*z^6 + a^6*z^8 - 7*a^8*z^8 - 3*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - 
   a^10*z^10, Knot[15, Alternating, 38476] -> 4*a^4 - 8*a^6 + 9*a^8 - 
   5*a^10 + 2*a^12 - a^14 + 8*a^4*z^2 - 14*a^6*z^2 + 15*a^8*z^2 - 
   4*a^10*z^2 + 4*a^12*z^2 - 2*a^14*z^2 + 5*a^4*z^4 - 11*a^6*z^4 + 
   7*a^8*z^4 - a^10*z^4 + 5*a^12*z^4 - a^14*z^4 + a^4*z^6 - 5*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 38477] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38478] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 + (5*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (13*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 38479] -> -a^(-8) + 2/a^4 + z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38480] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38481] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - (18*z^4)/a^2 + 
   5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (22*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 38482] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 38483] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + 
   4*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38484] -> 7 - 3/a^2 - 3*a^2 + 29*z^2 - (8*z^2)/a^2 - 
   28*a^2*z^2 + 10*a^4*z^2 + 49*z^4 - (9*z^4)/a^2 - 65*a^2*z^4 + 23*a^4*z^4 + 
   38*z^6 - (5*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 
   34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 38485] -> 5 - a^(-4) - 4*a^2 + a^4 + 11*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 17*a^2*z^2 + 7*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 38486] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + (11*z^4)/a^4 - (7*z^4)/a^2 + 
   7*a^2*z^4 - 12*z^6 - z^6/a^6 + (7*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38487] -> -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 
   19*a^2*z^2 - 15*a^4*z^2 + 3*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 18*a^4*z^4 - 
   8*a^6*z^4 + 6*a^8*z^4 - z^6 + 10*a^2*z^6 - 12*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 38488] -> 3 - a^(-2) - 2*a^2 + 3*a^4 - 
   3*a^6 + a^8 + 7*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 9*a^6*z^2 + 
   4*a^8*z^2 + 6*z^4 - z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38489] -> 
  2/a^12 - 6/a^10 + 2/a^8 + 4/a^6 - a^(-4) + (4*z^2)/a^12 - (21*z^2)/a^10 + 
   (19*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + 
   (38*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (32*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 38490] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (6*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38491] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 38492] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 38493] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + (21*z^4)/a^4 + 
   (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38494] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 38495] -> 
  -1 - 4/a^6 + 6/a^4 - 4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + 
   (11*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (9*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 38496] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38497] -> 
  8*a^8 - 10*a^10 + 3*a^12 - 3*a^4*z^2 + 4*a^6*z^2 + 28*a^8*z^2 - 
   29*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 7*a^6*z^4 + 41*a^8*z^4 - 
   33*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 32*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 38498] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 + 9*a^6*z^2 + 7*a^8*z^2 - 
   12*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 13*a^6*z^4 + 8*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 38499] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^2*z^2 + 
   3*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 8*a^6*z^4 + 6*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 38500] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   12*z^2 + (11*z^2)/a^4 - (25*z^2)/a^2 + 24*z^4 - (4*z^4)/a^6 + 
   (32*z^4)/a^4 - (64*z^4)/a^2 + 19*z^6 - (4*z^6)/a^6 + (31*z^6)/a^4 - 
   (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 38501] -> 
  4 + 3/a^4 - 6/a^2 + 5*z^2 - z^2/a^6 + (11*z^2)/a^4 - (20*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (14*z^4)/a^4 - (23*z^4)/a^2 + 
   6*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (14*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38502] -> 2 - 2*a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 
   14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38503] -> -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 
   19*a^2*z^2 - 15*a^4*z^2 + 3*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 18*a^4*z^4 - 
   8*a^6*z^4 + 6*a^8*z^4 - z^6 + 10*a^2*z^6 - 12*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 38504] -> -3 - a^(-6) + a^(-4) + 2/a^2 + 
   3*a^2 - a^4 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38505] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 21*z^4 + (3*z^4)/a^4 - (17*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 
   25*z^6 + z^6/a^4 - (14*z^6)/a^2 + 9*a^2*z^6 - 5*a^4*z^6 + 12*z^8 - 
   (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 38506] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 
   6*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 13*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 10*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 38507] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 - 
   (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 38508] -> 1 - z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38509] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38510] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38511] -> a^(-4) - a^(-2) + a^2 - 4*z^2 + 3*a^2*z^2 - 
   a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38512] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   3*z^2 + (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38513] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 
   4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 6*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 38514] -> -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 20*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 38515] -> 
  3 - a^(-2) - a^2 + 8*z^2 + z^2/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   6*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 38516] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 5*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38517] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38518] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38519] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (15*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38520] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38521] -> -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38522] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (19*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38523] -> -1 - a^(-6) + 3/a^2 - 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38524] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 7*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38525] -> 
  1 + a^2 - 2*a^4 + a^6 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 38526] -> 
  2*a^2 - a^4 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38527] -> 
  a^(-2) - a^2 + a^4 - z^2 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38528] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38529] -> 1 - 2*z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 13*a^2*z^4 - 10*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38530] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 18*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38531] -> 
  -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38532] -> -a^(-4) + 2/a^2 - 9*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38533] -> 
  2 - a^2 - a^4 + a^6 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38534] -> 3 - a^(-2) - a^2 + 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^2 - 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38535] -> -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38536] -> 
  a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (12*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 38537] -> a^(-10) - 5/a^8 + 5/a^6 + z^2 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38538] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38539] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + z^2/a^4 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38540] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38541] -> 1 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38542] -> 4 - a^(-2) - 3*a^2 + a^4 + 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 6*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38543] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^10 + (4*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (9*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (17*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 38544] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38545] -> 1 + a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38546] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   14*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38547] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38548] -> 1 - 3*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 15*a^2*z^4 - 13*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38549] -> -1 + a^(-2) + 2*a^4 - a^6 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38550] -> 3*a^2 - 4*a^4 + 5*a^6 - 5*a^8 + 2*a^10 - 
   z^2 + 8*a^2*z^2 - 17*a^4*z^2 + 19*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 10*a^2*z^4 - 23*a^4*z^4 + 23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38551] -> 
  -3 - a^(-4) + 2/a^2 + 6*a^2 - 3*a^4 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   6*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38552] -> -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 
   20*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   25*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38553] -> 
  -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 17*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38554] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 
   14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   16*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38555] -> 
  -3 + a^(-2) + 5*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 10*z^2 + (3*z^2)/a^2 + 
   14*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38556] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38557] -> 2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 4*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38558] -> 
  8 - 3/a^2 - 5*a^2 + a^4 + 34*z^2 - (9*z^2)/a^2 - 36*a^2*z^2 + 13*a^4*z^2 + 
   53*z^4 - (10*z^4)/a^2 - 71*a^2*z^4 + 24*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 
   67*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 38559] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 3*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   14*a^2*z^2 + 7*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 23*a^2*z^4 + 
   10*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38560] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 12*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 - 11*a^2*z^4 + 7*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 38561] -> 
  -2 + 2/a^2 + a^4 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38562] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 38563] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 6*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 38564] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 
   3*z^2 + (6*z^2)/a^8 - (26*z^2)/a^6 + (31*z^2)/a^4 - (5*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (42*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (31*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38565] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 38566] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 
   2*a^8 - 3*z^2 + 6*a^2*z^2 + 9*a^4*z^2 - 16*a^6*z^2 + 6*a^8*z^2 - 3*z^4 + 
   9*a^2*z^4 + 6*a^4*z^4 - 20*a^6*z^4 + 7*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   a^4*z^6 - 13*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38567] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   9*a^2*z^2 + 5*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 15*a^2*z^4 + 
   7*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38568] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   z^2/a^6 + (8*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 38569] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (21*z^2)/a^6 - (18*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (22*z^4)/a^6 - 
   (25*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 38570] -> -2 + 2/a^6 - 3/a^4 + 2/a^2 + 
   2*a^2 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38571] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 5*a^2*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38572] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38573] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 16*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38574] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 2*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (12*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38575] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   20*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 17*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   26*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38576] -> -4 - a^(-4) + 4/a^2 + 4*a^2 - 4*a^4 + 
   2*a^6 - 18*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38577] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38578] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 6*a^2*z^2 - 
   14*a^4*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - 
   a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38579] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38580] -> -3 - a^(-4) + 3/a^2 + 5*a^2 - 5*a^4 + 
   2*a^6 - 17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 23*a^2*z^2 - 20*a^4*z^2 + 
   6*a^6*z^2 - 23*z^4 - z^4/a^4 + (9*z^4)/a^2 + 31*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 19*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38581] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38582] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (17*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38583] -> -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   16*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38584] -> -4 - 3/a^4 + 7/a^2 + a^2 - 16*z^2 - 
   z^2/a^6 - z^2/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 38585] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38586] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + a^8*z^2 - 
   6*z^4 + 15*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 
   12*a^2*z^6 + a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 38587] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38588] -> 
  -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38589] -> 2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - a^10 + 
   7*a^2*z^2 - 19*a^4*z^2 + 21*a^6*z^2 - 3*a^10*z^2 + 9*a^2*z^4 - 
   26*a^4*z^4 + 17*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38590] -> 2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 
   6*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   13*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38591] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 14*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   23*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38592] -> -7 + 2/a^6 - 5/a^4 + 7/a^2 + 
   5*a^2 - a^4 - 23*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 + 
   13*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + z^4/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38593] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - a^4*z^2 - 7*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38594] -> 
  -6 + 2/a^6 - 4/a^4 + 5/a^2 + 5*a^2 - a^4 - 17*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38595] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38596] -> -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 
   15*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   6*a^4*z^4 - 12*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38597] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 13*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38598] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 - z^4/a^2 + 
   12*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38599] -> 2 - a^(-2) + a^2 - 2*a^6 + a^8 + 5*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 8*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38600] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 11*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38601] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 21*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38602] -> -3 + 2/a^2 + 5*a^2 - 8*a^4 + 7*a^6 - 
   2*a^8 - 12*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 26*a^4*z^2 + 19*a^6*z^2 - 
   5*a^8*z^2 - 11*z^4 + z^4/a^2 + 24*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38603] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38604] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 23*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 27*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38605] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38606] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38607] -> -3/a^8 + 4/a^6 - z^2/a^14 + (3*z^2)/a^12 + 
   (2*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^12 - 
   (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 38608] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38609] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - 
   (5*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38610] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38611] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38612] -> -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38613] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 5*a^2*z^2 + 9*a^4*z^2 - 11*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 8*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38614] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 5*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - 7*z^4 + z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 38615] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 4*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 38616] -> 
  -4 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (19*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38617] -> 
  -2*a^4 + 7*a^6 - 2*a^8 - 3*a^10 + a^12 - a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 + 
   5*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 5*a^4*z^4 + 
   24*a^6*z^4 + 13*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 15*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 38618] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^10 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38619] -> 
  -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - a^8 - 10*z^2 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38620] -> 2 - 2*a^2 + 2*a^6 - a^8 - z^2 + 
   z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 12*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38621] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + 
   a^6 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38622] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   4*a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 + 2*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 
   5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 3*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38623] -> 
  -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 18*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   19*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   22*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38624] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (4*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38625] -> 2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + 6*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 + 3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 38626] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (15*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + (17*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38627] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38628] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38629] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   7*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 
   11*z^4 - z^4/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + (23*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38630] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38631] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 14*a^2*z^4 - 15*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38632] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38633] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38634] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 7*z^2 + z^2/a^2 + 17*a^2*z^2 - 
   16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38635] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38636] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 20*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   19*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38637] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   7*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 3*z^4 + 10*a^2*z^4 - 11*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 38638] -> -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 
   9*z^2 - z^2/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (16*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38639] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   11*z^4 - (6*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 38640] -> 1 - a^(-8) + 2/a^6 - a^(-4) + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38641] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38642] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 - z^2/a^2 + 
   8*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38643] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + 
   a^2 + a^4 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 7*z^4 - (6*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 38644] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 11*a^6*z^2 - 5*a^8*z^2 + a^12*z^2 - 
   2*a^4*z^4 + 11*a^6*z^4 - 3*a^8*z^4 - 6*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 
   7*a^6*z^6 + a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 38645] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + a^4*z^2 + 
   14*a^6*z^2 - 16*a^8*z^2 + 8*a^10*z^2 - a^2*z^4 - a^4*z^4 + 13*a^6*z^4 - 
   15*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 4*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 38646] -> -3 + a^(-2) + 4*a^2 - 2*a^4 + 3*a^6 - 
   2*a^8 - 11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38647] -> 
  1 + a^(-6) - 3/a^4 + 2/a^2 + a^2 - a^4 - 2*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38648] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 + 17*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38649] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 38650] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 6*a^4*z^2 + 16*a^6*z^2 + 
   9*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 7*a^4*z^4 + 21*a^6*z^4 + 
   14*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 14*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 38651] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 3*z^2 + 
   7*a^2*z^2 + 10*a^4*z^2 - 21*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 
   4*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38652] -> 
  -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 2*a^2*z^2 - 3*a^4*z^2 + 
   17*a^6*z^2 + 7*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 
   19*a^6*z^4 + 16*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 38653] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 38654] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (7*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (11*z^4)/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 38655] -> 
  4 + 3/a^4 - 6/a^2 + 2*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38656] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + (30*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (40*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38657] -> 2/a^12 - 8/a^10 + 6/a^8 + 2/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (22*z^2)/a^10 + (25*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (38*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 38658] -> -a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - a^4 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38659] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 6*z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38660] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 
   2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38661] -> 
  -1 + 3*a^2 - 2*a^4 + 4*a^6 - 4*a^8 + a^10 - 4*z^2 + 11*a^2*z^2 - 
   9*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   12*a^2*z^4 - 13*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 
   8*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 38662] -> 2/a^12 - 6/a^10 + a^(-8) + 6/a^6 - 2/a^4 + 
   (4*z^2)/a^12 - (20*z^2)/a^10 + (15*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (32*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 38663] -> a^(-10) - 5/a^8 + 4/a^6 + 
   2/a^4 - a^(-2) + z^2/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (15*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 - z^4/a^8 + 
   (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 38664] -> a^(-12) - 3/a^10 + 2/a^6 + 
   2/a^4 - a^(-2) + (2*z^2)/a^12 - (10*z^2)/a^10 + (7*z^2)/a^8 + 
   (6*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (11*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38665] -> 
  -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 23*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   24*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   27*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38666] -> 3*a^2 - 6*a^4 + 8*a^6 - 5*a^8 + a^10 - z^2 + 
   10*a^2*z^2 - 21*a^4*z^2 + 22*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   11*a^2*z^4 - 26*a^4*z^4 + 22*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 15*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38667] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 9*z^2 + z^2/a^2 + 24*a^2*z^2 - 
   22*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 
   22*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38668] -> -2 - a^(-4) + a^(-2) + 7*a^2 - 4*a^4 - 
   8*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 11*z^4 + 
   z^4/a^4 + (5*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 38669] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38670] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4 + 9*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38671] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   5*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (2*z^6)/a^8 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38672] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 6*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 38673] -> -a^2 + 4*a^4 - 3*a^8 + a^10 - 
   2*z^2 + 2*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 - 
   6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38674] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 + a^8*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38675] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 11*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 7*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38676] -> -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 
   2*a^4*z^2 - a^6*z^2 + 36*a^8*z^2 - 32*a^10*z^2 + 7*a^12*z^2 - 5*a^4*z^4 + 
   50*a^8*z^4 - 35*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 38677] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 
   16*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 + 16*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 38678] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 22*z^2 - 
   (3*z^2)/a^2 - 36*a^2*z^2 + 15*a^4*z^2 + 38*z^4 - (5*z^4)/a^2 - 
   70*a^2*z^4 + 25*a^4*z^4 + 32*z^6 - (4*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 38679] -> 
  -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 3*z^2 + 9*a^2*z^2 + 6*a^4*z^2 - 
   19*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 26*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38680] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 38681] -> -a^4 + 6*a^6 - 3*a^8 - 2*a^10 + 
   a^12 - a^2*z^2 - 2*a^4*z^2 + 15*a^6*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 16*a^6*z^4 + 5*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 38682] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 4*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   14*a^2*z^2 + 8*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 23*a^2*z^4 + 
   10*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38683] -> -2 + 7*a^2 - 4*a^4 - a^6 + a^8 - 5*z^2 + 
   18*a^2*z^2 - 9*a^4*z^2 - 10*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   12*a^4*z^4 - 19*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38684] -> 
  3 - a^(-2) - a^2 + a^4 - 2*a^6 + a^8 + 6*z^2 - (2*z^2)/a^2 - 3*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 - 8*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38685] -> 
  -5 + a^(-6) - 5/a^4 + 8/a^2 + 3*a^2 - a^4 - 17*z^2 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (22*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38686] -> 
  -1 + a^(-10) - 6/a^8 + 8/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (12*z^2)/a^8 + (23*z^2)/a^6 - (15*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (24*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38687] -> -1 + 2/a^8 - 10/a^6 + 12/a^4 - 2/a^2 - 
   6*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + (36*z^2)/a^4 - z^2/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (33*z^4)/a^6 + (48*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38688] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   5*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 38689] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 + z^2 - z^2/a^2 + 5*a^2*z^2 - 
   12*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 38690] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   21*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   25*z^4 + z^4/a^6 - (9*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38691] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (15*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (19*z^4)/a^6 + 
   (26*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (24*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38692] -> 
  -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38693] -> a^(-12) - 4/a^10 + 6/a^6 - 
   2/a^4 + z^2/a^12 - (7*z^2)/a^10 + (2*z^2)/a^8 + (17*z^2)/a^6 - 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + 
   (18*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38694] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   17*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - z^4/a^4 + (9*z^4)/a^2 + 21*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38695] -> 
  -8 - a^(-4) + 6/a^2 + 5*a^2 - 2*a^4 + a^6 - 20*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38696] -> -7 - a^(-4) + 6/a^2 + 2*a^2 + 
   a^4 - 15*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   14*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 9*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 38697] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 15*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 6*a^4*z^4 - 12*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38698] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + a^2*z^2 - 
   5*a^4*z^2 + 13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 
   10*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 38699] -> -3 + 2/a^2 + 5*a^2 - 8*a^4 + 
   7*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 26*a^4*z^2 + 
   19*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 24*a^2*z^4 - 31*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38700] -> -2 + a^(-10) - 6/a^8 + 10/a^6 - 9/a^4 + 
   7/a^2 - 5*z^2 + (2*z^2)/a^10 - (12*z^2)/a^8 + (24*z^2)/a^6 - 
   (21*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (24*z^4)/a^6 - (22*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 38701] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + 
   (18*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (22*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38702] -> 
  2 - 2/a^8 + 5/a^6 - 5/a^4 + 2/a^2 - a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38703] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   4*z^2 + z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 38704] -> 
  -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 2*z^2 + 2*a^2*z^2 + 17*a^6*z^2 - 
   15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 21*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38705] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   10*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 4*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 38706] -> 
  a^(-2) - a^2 + a^4 - z^2 + z^2/a^6 - z^2/a^4 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 38707] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   3*z^4 - z^4/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 + (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38708] -> -8 + 4/a^2 + 6*a^2 - a^4 - 17*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (2*z^4)/a^4 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38709] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 38710] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 13*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38711] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38712] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38713] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38714] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38715] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38716] -> 5*a^2 - 7*a^4 + 4*a^6 - 2*a^8 + a^10 - 
   3*z^2 + 12*a^2*z^2 - 19*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 18*a^2*z^4 - 23*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38717] -> 2 - a^2 - a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 38718] -> 1 + 3*a^2 - 6*a^4 + 4*a^6 - 2*a^8 + a^10 + 
   z^2 - z^2/a^2 + 4*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 38719] -> -4 + a^(-4) + a^(-2) + 5*a^2 - 3*a^4 + a^8 - 
   7*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   (3*z^4)/a^4 + 2*a^2*z^4 + 6*a^4*z^4 - z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 38720] -> -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^6*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 38721] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + (13*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (26*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38722] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2/a^12 + (6*z^2)/a^10 - 
   (16*z^2)/a^8 + (20*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^10 - 
   (17*z^4)/a^8 + (27*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - (6*z^6)/a^8 + 
   (16*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 38723] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 38724] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 38725] -> 
  1 - a^2 + a^4 + a^6 - a^8 - 3*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38726] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   13*a^2*z^2 - 19*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 5*z^4 + 
   19*a^2*z^4 - 26*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38727] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38728] -> 1 - 5*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38729] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 4*z^2 - 
   z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38730] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38731] -> 
  -a^(-8) + 2/a^6 - a^(-2) + a^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38732] -> 
  a^(-10) - 4/a^8 + 2/a^6 + 3/a^4 - a^(-2) - z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (13*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38733] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38734] -> 
  -3 + 2/a^8 - 6/a^6 + 2/a^4 + 6/a^2 - 9*z^2 + (6*z^2)/a^8 - (23*z^2)/a^6 + 
   (17*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (29*z^4)/a^6 + 
   (33*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (29*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38735] -> 
  1 - a^(-4) + a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 6*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38736] -> -1 - a^(-8) + a^(-6) + a^(-4) + 
   a^2 - 8*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38737] -> -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38738] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^2 - a^2*z^2 + 
   z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38739] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38740] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38741] -> 
  -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 17*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38742] -> 
  2 - 3*a^4 + 2*a^6 - 3*z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + z^4/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38743] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38744] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   12*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38745] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38746] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 9*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38747] -> 
  -5 - 2/a^4 + 5/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 18*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 5*a^6*z^2 - 22*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 22*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38748] -> 
  -a^(-4) + a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38749] -> -2 - a^(-8) + a^(-6) + 2/a^2 + 
   a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38750] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38751] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38752] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 9*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (24*z^2)/a^4 + (26*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (29*z^4)/a^4 + (33*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (16*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38753] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 7*z^2 + 
   (3*z^2)/a^2 + a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 19*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 38754] -> 
  -2*a^4 + 6*a^6 - 4*a^10 + a^12 - 2*a^2*z^2 - 4*a^4*z^2 + 17*a^6*z^2 + 
   10*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 - a^4*z^4 + 20*a^6*z^4 + 
   18*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 38755] -> -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 5*z^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   13*a^4*z^4 - 10*a^6*z^4 + 6*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38756] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38757] -> 2 - a^(-2) + 3*a^4 - 5*a^6 + 2*a^8 + 
   6*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38758] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   9*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38759] -> 
  -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 17*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^6*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   (5*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 38760] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38761] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   6*z^2 - z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 6*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38762] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 12*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38763] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 38764] -> 
  2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 - z^4/a^4 + z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38765] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38766] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 38767] -> a^(-8) - 2/a^6 + 2/a^2 - z^2/a^12 + 
   (3*z^2)/a^10 - z^2/a^8 - (6*z^2)/a^4 + (5*z^2)/a^2 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 38768] -> 
  1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (12*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 38769] -> 2 + a^(-8) - 2/a^6 + a^(-2) - 
   a^2 + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 38770] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38771] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 + 3*a^2*z^2 - 
   9*a^4*z^2 + 14*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   2*a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 38772] -> -3 - 2/a^4 + 5/a^2 + a^2 - 15*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38773] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 - 3*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38774] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38775] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 13*a^4*z^4 + 
   13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38776] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 13*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38777] -> 
  2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + 5*a^2*z^2 - 12*a^4*z^2 + 14*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 + z^4 + 3*a^2*z^4 - 15*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + z^6 - 9*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 38778] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38779] -> -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (17*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (31*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38780] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (4*z^2)/a^12 - (17*z^2)/a^10 + (15*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (22*z^4)/a^10 + (25*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (23*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 38781] -> -a^4 + 2*a^6 + 6*a^8 - 8*a^10 + 
   2*a^12 - a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 + 22*a^8*z^2 - 20*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 13*a^6*z^4 + 25*a^8*z^4 - 
   15*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 13*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 38782] -> -1 + a^2 + 7*a^4 - 9*a^6 + 3*a^8 - 3*z^2 + 
   6*a^2*z^2 + 13*a^4*z^2 - 23*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 11*a^2*z^4 + 
   5*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38783] -> 
  3*a^4 - 2*a^6 + z^2 - z^2/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^8*z^4 + 2*z^6 - 4*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38784] -> 
  -2*a^4 + 6*a^6 + a^8 - 6*a^10 + 2*a^12 - a^2*z^2 - 7*a^4*z^2 + 21*a^6*z^2 + 
   8*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 
   26*a^6*z^4 + 15*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 38785] -> -2 + 5*a^2 + 2*a^4 - 7*a^6 + 3*a^8 - 5*z^2 + 
   15*a^2*z^2 - 17*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 7*a^4*z^4 - 
   21*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 15*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 38786] -> 2 - a^(-2) + a^2 + a^4 - 4*a^6 + 
   2*a^8 + 5*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38787] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + z^2/a^10 + z^2/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4 - z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38788] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - 
   (5*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (9*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 38789] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2/a^10 + (6*z^2)/a^8 - (7*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (9*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 38790] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38791] -> 
  -1 + 4*a^2 - 4*a^4 + 5*a^6 - 4*a^8 + a^10 - 2*z^2 - z^2/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 38792] -> 2 + a^(-6) - 4/a^4 + 3/a^2 - a^4 + 3*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38793] -> 
  -1 + a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 38794] -> 
  2 - a^(-2) + 3*a^2 - 4*a^4 + a^8 + 3*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   18*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   22*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 12*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38795] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38796] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38797] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (4*z^4)/a^8 + (15*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 38798] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + 
   a^(-2) - a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38799] -> 
  -2 + a^(-10) - 4/a^8 + 4/a^6 - 3/a^4 + 5/a^2 - 5*z^2 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38800] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*a^2*z^4 - 
   15*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38801] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 10*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 17*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 24*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38802] -> 
  -1 + 2/a^6 - 5/a^4 + 5/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38803] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38804] -> 
  5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 - 2*a^4*z^2 + 19*a^6*z^2 - 17*a^8*z^2 + 
   7*a^10*z^2 - 5*a^4*z^4 + 21*a^6*z^4 - 14*a^8*z^4 - 3*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - 2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 38805] -> 2*a^4 - a^6 + a^10 - a^12 - a^2*z^2 + 
   7*a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 38806] -> 6*a^6 - 10*a^8 + 9*a^10 - 5*a^12 + a^14 - 
   2*a^4*z^2 + 20*a^6*z^2 - 23*a^8*z^2 + 15*a^10*z^2 - 4*a^12*z^2 - 
   5*a^4*z^4 + 23*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - 
   4*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 2*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 38807] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 - a^2*z^2 + 
   8*a^4*z^2 - 7*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 38808] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - 
   5*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 38809] -> 
  4*a^6 - 5*a^8 + 5*a^10 - 4*a^12 + a^14 + 2*a^4*z^2 + 9*a^6*z^2 - 
   12*a^8*z^2 + 13*a^10*z^2 - 5*a^12*z^2 + a^4*z^4 + 7*a^6*z^4 - 13*a^8*z^4 + 
   9*a^10*z^4 - a^2*z^6 + 3*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 38810] -> 4*a^2 - 6*a^4 + 6*a^6 - 5*a^8 + 2*a^10 - 
   z^2 + 8*a^2*z^2 - 17*a^4*z^2 + 17*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 9*a^2*z^4 - 21*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38811] -> 
  -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 2*z^2 - z^2/a^4 + z^2/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - z^4/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 38812] -> a^2 - a^4 + 5*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   z^2 - 4*a^4*z^2 + 15*a^6*z^2 - 14*a^8*z^2 + 5*a^10*z^2 + z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 38813] -> 
  -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 22*z^2 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38814] -> -2 + a^(-2) + 6*a^2 - 8*a^4 + 
   5*a^6 - a^8 - 11*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 21*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 22*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38815] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38816] -> 2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38817] -> 6*a^2 - 11*a^4 + 10*a^6 - 6*a^8 + 2*a^10 - 
   2*z^2 + 13*a^2*z^2 - 27*a^4*z^2 + 23*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 13*a^2*z^4 - 27*a^4*z^4 + 23*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38818] -> 
  -4 + a^(-2) + 7*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38819] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + 
   a^6 - 21*z^2 - z^2/a^4 + (8*z^2)/a^2 + 23*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 26*z^4 - z^4/a^4 + (10*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38820] -> 
  -6 + a^(-6) - 4/a^4 + 7/a^2 + 4*a^2 - a^4 - 20*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (21*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (25*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38821] -> 
  -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 12*z^2 + (6*z^2)/a^8 - (26*z^2)/a^6 + 
   (21*z^2)/a^4 + (17*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (39*z^4)/a^4 + (20*z^4)/a^2 - 6*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (33*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38822] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^2)/a^4 + (5*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (18*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (19*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38823] -> 
  -1 - a^(-8) + 4/a^6 - 5/a^4 + 3/a^2 + a^2 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 38824] -> 1 + 3*a^2 - 6*a^4 + 4*a^6 - 
   2*a^8 + a^10 + 5*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38825] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 - 
   9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   14*z^4 + z^4/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   11*z^6 + z^6/a^4 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 38826] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38827] -> -2*a^2 + 8*a^4 - 6*a^6 + a^8 - z^2 - 
   3*a^2*z^2 + 20*a^4*z^2 - 17*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 
   15*a^4*z^4 - 20*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 
   12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38828] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + 9*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 - 
   z^4/a^2 + 8*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 38829] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   10*z^2 - z^2/a^4 + (7*z^2)/a^2 + 3*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 38830] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   12*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   13*a^2*z^4 + 2*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 38831] -> 
  4*a^4 - 4*a^6 + a^8 - z^2 + a^2*z^2 + 9*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 - 
   2*z^4 + 5*a^2*z^4 + 6*a^4*z^4 - 16*a^6*z^4 + 6*a^8*z^4 - z^6 + 6*a^2*z^6 - 
   a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38832] -> 
  -2*a^6 + 12*a^8 - 12*a^10 + 3*a^12 - a^4*z^2 - 7*a^6*z^2 + 46*a^8*z^2 - 
   36*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 - 6*a^6*z^4 + 61*a^8*z^4 - 
   38*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 2*a^6*z^6 + 40*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 38833] -> 
  -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 4*a^4*z^2 + 12*a^6*z^2 + 
   12*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 15*a^6*z^4 + 
   13*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 7*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 38834] -> -3*a^2 + 13*a^4 - 13*a^6 + 4*a^8 - 
   10*a^2*z^2 + 48*a^4*z^2 - 57*a^6*z^2 + 21*a^8*z^2 - 12*a^2*z^4 + 
   69*a^4*z^4 - 101*a^6*z^4 + 34*a^8*z^4 - 6*a^2*z^6 + 48*a^4*z^6 - 
   88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 38835] -> -1 + 2*a^2 + 5*a^4 - 8*a^6 + 3*a^8 - 3*z^2 + 
   9*a^2*z^2 + 9*a^4*z^2 - 26*a^6*z^2 + 12*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 
   a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38836] -> 
  -2 + 7*a^2 - 3*a^4 - 3*a^6 + 2*a^8 - 5*z^2 + 19*a^2*z^2 - 10*a^4*z^2 - 
   12*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 14*a^4*z^4 - 21*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38837] -> 3 - a^(-2) - a^2 + 2*a^4 - 4*a^6 + 2*a^8 + 
   7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 12*a^6*z^2 + 6*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 5*a^2*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 
   2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38838] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 11*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 38839] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38840] -> 
  -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 6*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (32*z^2)/a^4 - 9*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + (45*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38841] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (6*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 38842] -> 2/a^12 - 10/a^10 + 10/a^8 - a^(-4) + 
   (4*z^2)/a^12 - (25*z^2)/a^10 + (31*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (29*z^4)/a^10 + (44*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (16*z^6)/a^10 + (33*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 38843] -> a^(-12) - 5/a^10 + 2/a^8 + 
   5/a^6 - 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + (9*z^2)/a^8 + 
   (13*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38844] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 - z^4 - z^4/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 38845] -> a^2 - 3*a^4 + 9*a^6 - 8*a^8 + 
   2*a^10 - z^2 + 4*a^2*z^2 - 10*a^4*z^2 + 24*a^6*z^2 - 16*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 26*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38846] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   3*a^4*z^2 + 13*a^6*z^2 + 4*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   3*a^4*z^4 + 14*a^6*z^4 + 7*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   9*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 38847] -> -1 + 4*a^2 - 4*a^6 + 2*a^8 - 3*z^2 + 
   10*a^2*z^2 + 2*a^4*z^2 - 18*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   a^4*z^4 - 26*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38848] -> 
  -1 + 7*a^2 - 9*a^4 + 5*a^6 - a^8 - 7*z^2 + 22*a^2*z^2 - 24*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + z^4/a^2 + 27*a^2*z^4 - 24*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38849] -> -2 + 9*a^2 - 8*a^4 + a^6 + a^8 - 5*z^2 + 
   21*a^2*z^2 - 17*a^4*z^2 - 7*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 20*a^2*z^4 - 
   17*a^4*z^4 - 18*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38850] -> 
  -3 + a^(-6) - 5/a^4 + 7/a^2 + 2*a^2 - a^4 - 11*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38851] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38852] -> 3 - a^(-2) + a^2 - 3*a^4 + a^8 + 6*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - 
   z^4/a^2 - 9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38853] -> a^2 - 2*a^4 + 6*a^6 - 7*a^8 + 5*a^10 - 
   2*a^12 + 3*a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 18*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 3*a^2*z^4 - 10*a^4*z^4 + 16*a^6*z^4 - 23*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 38854] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 - 
   z^2 + 5*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 + 8*a^2*z^4 - 17*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38855] -> 
  -2 + a^(-2) + 6*a^2 - 8*a^4 + 5*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 
   18*a^2*z^2 - 23*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38856] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 18*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38857] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - z^2 + 5*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 11*a^4*z^4 + 15*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38858] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2/a^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 13*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38859] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 38860] -> 
  -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 7*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (19*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (32*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 38861] -> 
  -8 + 2/a^2 + 14*a^2 - 9*a^4 + 2*a^6 - 22*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   31*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38862] -> 2/a^12 - 8/a^10 + 5/a^8 + 4/a^6 - 
   2/a^4 + (4*z^2)/a^12 - (23*z^2)/a^10 + (23*z^2)/a^8 + (13*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^4)/a^12 - (27*z^4)/a^10 + (37*z^4)/a^8 + (16*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + (11*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 38863] -> 
  2 + a^(-6) - 5/a^4 + 5/a^2 - 2*a^2 + 7*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 13*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 38864] -> 2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 
   4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (10*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 38865] -> 
  a^(-12) - 5/a^10 + 4/a^8 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (11*z^2)/a^8 + (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (12*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38866] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 5*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   12*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 10*a^2*z^6 - 
   a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38867] -> -4/a^8 + 5/a^6 + a^(-4) - a^(-2) + 
   z^2/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (19*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38868] -> -2 + 7*a^2 - 8*a^4 + 8*a^6 - 5*a^8 + a^10 - 
   5*z^2 + 16*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - z^6 + 9*a^2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38869] -> 
  -2 + 11*a^2 - 13*a^4 + 5*a^6 - 5*z^2 + 23*a^2*z^2 - 27*a^4*z^2 + 
   4*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 21*a^2*z^4 - 24*a^4*z^4 - 7*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 10*a^2*z^6 - 13*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38870] -> 5 - a^(-2) - 4*a^2 + a^4 - a^6 + a^8 + 
   8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 
   6*z^4 - z^4/a^2 - 7*a^2*z^4 + 2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 38871] -> -7 - a^(-4) + 3/a^2 + 13*a^2 - 9*a^4 + 
   2*a^6 - 19*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 29*a^2*z^2 - 17*a^4*z^2 + 
   3*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 28*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38872] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + a^6 + 2*a^8 - 
   a^10 - 5*z^2 + z^2/a^4 + 8*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 
   3*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 2*z^6 + 
   5*a^2*z^6 + 2*a^4*z^6, Knot[15, Alternating, 38873] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38874] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 2*a^2 + 
   2*a^4 - a^6 - 14*z^2 + z^2/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[15, Alternating, 38875] -> 2*a^2 - 2*a^4 + 4*a^6 - 6*a^8 + 
   4*a^10 - a^12 + z^2 + a^2*z^2 - 6*a^4*z^2 + 13*a^6*z^2 - 13*a^8*z^2 + 
   5*a^10*z^2 + z^4 - 2*a^2*z^4 - 8*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 38876] -> -3 + 2/a^2 + 5*a^2 - 7*a^4 + 5*a^6 - a^8 - 
   12*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38877] -> 
  2*a^4 - 3*a^8 + 5*a^10 - 4*a^12 + a^14 + a^2*z^2 + 4*a^4*z^2 - 8*a^8*z^2 + 
   13*a^10*z^2 - 5*a^12*z^2 + a^4*z^4 + a^6*z^4 - 12*a^8*z^4 + 9*a^10*z^4 - 
   a^2*z^6 + 2*a^6*z^6 - 7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 38878] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38879] -> 
  1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 10*a^4*z^2 + 
   15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - z^4 + 3*a^2*z^4 - 13*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 38880] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 
   z^2 - 3*a^2*z^2 + 8*a^4*z^2 + 14*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 4*a^2*z^4 + 2*a^4*z^4 + 19*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 4*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38881] -> 
  -1 + a^2 + 3*a^4 - 3*a^8 + a^10 - 3*z^2 + 4*a^2*z^2 + 6*a^4*z^2 + 
   2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 38882] -> 2/a^12 - 6/a^10 + 8/a^6 - 3/a^4 + 
   (4*z^2)/a^12 - (21*z^2)/a^10 + (14*z^2)/a^8 + (22*z^2)/a^6 - 
   (10*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + (34*z^4)/a^8 + 
   (24*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (31*z^6)/a^8 + 
   (15*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 38883] -> 
  a^(-12) - 3/a^10 - a^(-8) + 4/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (4*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (8*z^4)/a^8 + (17*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38884] -> -2/a^8 + 5/a^4 - 2/a^2 + z^2/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (5*z^4)/a^8 + (10*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (7*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 38885] -> -3 - 2/a^4 + 5/a^2 + 2*a^2 - 2*a^4 + a^6 - 
   15*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 
   21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38886] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 38887] -> -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38888] -> 
  1 + a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38889] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 38890] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 38891] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 8*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 38892] -> a^(-10) - 4/a^8 + 6/a^6 - 
   5/a^4 + 3/a^2 - z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (20*z^2)/a^6 - 
   (19*z^2)/a^4 + (9*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (22*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 38893] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 19*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 38894] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 
   2/a^2 - z^2/a^10 - z^2/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^10 + (6*z^4)/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 38895] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 4*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + 
   (13*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (21*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38896] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 17*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (16*z^2)/a^4 + (23*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (30*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 38897] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - 
   a^4 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 38898] -> -a^(-6) + 2/a^4 - a^4 + a^6 - 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 38899] -> -5 - 2/a^4 + 6/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   20*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   26*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38900] -> 
  2*a^2 - a^4 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 38901] -> 
  1 - a^4 + 2*a^6 - a^8 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 38902] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38903] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 7*z^2 + 
   z^2/a^2 + 18*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 24*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38904] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 17*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38905] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 6*z^4 + 15*a^2*z^4 - 
   8*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 38906] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - 
   a^8 - 8*z^2 + z^2/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38907] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 24*z^2 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 32*z^4 - 
   (6*z^4)/a^4 + (23*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 38908] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38909] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38910] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   16*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (27*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38911] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - 
   2*z^2 + 8*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 9*a^2*z^4 - 12*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38912] -> 
  2 - 2*a^2 + 2*a^4 - a^6 - a^8 + a^10 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 38913] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - 
   a^4 - 17*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38914] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   19*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 20*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   23*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38915] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 - z^2/a^2 - 
   3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 38916] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 38917] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38918] -> -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 13*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38919] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   18*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 
   21*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38920] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 
   9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 38921] -> 
  4*a^2 - 5*a^4 + 2*a^6 - z^2 + 6*a^2*z^2 - 7*a^4*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38922] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   9*z^2 + z^2/a^2 + 18*a^2*z^2 - 17*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38923] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 7*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 4*z^4 + 
   z^4/a^6 - (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38924] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 38925] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 2*z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 17*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38926] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 16*a^2*z^4 + 
   7*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 38927] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 - 
   z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - 
   12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38928] -> 
  -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38929] -> -a^(-6) + 2/a^4 - a^4 + a^6 + z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 38930] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 
   2*a^2 - 11*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 38931] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 38932] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + 2*z^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38933] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   3*z^2 + z^2/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (21*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38934] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38935] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - 
   z^2/a^6 + (7*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 38936] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 38937] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 15*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (25*z^2)/a^2 + 4*a^2*z^2 - 25*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + 
   (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 38938] -> -5 + 2/a^6 - 3/a^4 + 3/a^2 + 5*a^2 - a^4 - 
   16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 20*z^4 + z^4/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38939] -> 
  a^(-8) - a^(-6) + a^(-4) - a^(-2) + a^4 + 3*z^2 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - a^6*z^2 + 7*z^4 + 
   (6*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + z^6 - (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8, Knot[15, Alternating, 38940] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 7*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 38941] -> 
  2 - a^2 - a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38942] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38943] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - 4*a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 38944] -> 
  -2 + a^(-4) + 2*a^2 - 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 38945] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 - 6*z^2 - z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38946] -> 1 + 2*z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38947] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 15*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38948] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 17*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 
   4*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 38949] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 38950] -> -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 
   8*z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38951] -> 
  -3 - a^(-8) + 3/a^6 - 5/a^4 + 6/a^2 + a^2 - 18*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 38952] -> -3 + a^(-6) - 4/a^4 + 5/a^2 + 
   4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 
   13*a^2*z^4 - 4*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38953] -> -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 
   2*a^2 - 18*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + 
   6*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (28*z^4)/a^2 + 
   7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 38954] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 4/a^6 - 4/a^4 + 3/a^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (20*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 38955] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - 
   (4*z^4)/a^8 + (17*z^4)/a^6 - (22*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38956] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 38957] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 
   4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38958] -> 
  -6 + 3/a^2 + 6*a^2 - 3*a^4 + a^6 - 25*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 32*z^4 - (6*z^4)/a^4 + (23*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 38959] -> 
  4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38960] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 38961] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*z^2 - 4*a^4*z^2 + 
   9*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   4*a^4*z^4 + 7*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 38962] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 3*z^2 + 11*a^2*z^2 - 16*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 5*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 38963] -> 
  -4 + 2/a^6 - 4/a^4 + 5/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38964] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 10*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   5*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 38965] -> a^2 - 2*a^4 + 6*a^6 - 6*a^8 + 3*a^10 - 
   a^12 + 2*z^2 + a^2*z^2 - 7*a^4*z^2 + 15*a^6*z^2 - 11*a^8*z^2 + 
   5*a^10*z^2 + z^4 - 3*a^2*z^4 - 10*a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 38966] -> -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 38967] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   3*a^2 - 2*a^4 + a^6 - 10*z^2 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 38968] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38969] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 38970] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 3*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 
   3*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   3*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38971] -> a^4 - a^6 + a^8 + 3*a^10 - 3*a^12 + 
   3*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 16*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 
   3*a^4*z^4 + 3*a^6*z^4 - 12*a^8*z^4 + 16*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 38972] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + 2*a^8 - a^10 - 5*z^2 + z^2/a^4 + 9*a^2*z^2 - 
   7*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 3*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 
   5*a^4*z^4 - 5*a^6*z^4 + 2*z^6 + 5*a^2*z^6 + 2*a^4*z^6, 
 Knot[15, Alternating, 38973] -> 2*a^2 - 3*a^4 + 5*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 13*a^6*z^2 - 11*a^8*z^2 + 
   5*a^10*z^2 + z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + z^6 - 
   a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 38974] -> a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 6*a^8*z^2 + 12*a^10*z^2 - 5*a^12*z^2 + 
   a^4*z^4 + 2*a^6*z^4 - 11*a^8*z^4 + 9*a^10*z^4 - a^2*z^6 + 2*a^6*z^6 - 
   7*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 38975] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 - a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38976] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 8*a^2*z^2 - 14*a^4*z^2 + 15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 9*a^2*z^4 - 13*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 38977] -> 
  2 - 2*a^2 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 38978] -> 2*a^2 - 3*a^4 + 3*a^6 - a^10 + 3*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 38979] -> 
  1 - a^2 + 2*a^4 - 3*a^6 + 4*a^8 - 2*a^10 + z^2 - 3*a^2*z^2 + 6*a^4*z^2 - 
   7*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + z^4 - 4*a^2*z^4 + 5*a^4*z^4 - 
   6*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38980] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 7*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   23*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + z^4/a^2 + 25*a^2*z^4 - 
   25*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38981] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 
   19*a^2*z^2 - 22*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   26*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38982] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 6*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 38983] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 18*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 + z^4 + 3*a^2*z^4 - 14*a^4*z^4 + 14*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - 9*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 38984] -> 
  2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + 6*a^2*z^2 - 17*a^4*z^2 + 21*a^6*z^2 - 
   3*a^8*z^2 - 2*a^10*z^2 + 7*a^2*z^4 - 21*a^4*z^4 + 15*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38985] -> -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 
   12*z^2 + (2*z^2)/a^2 + 29*a^2*z^2 - 26*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   18*z^4 + (4*z^4)/a^2 + 31*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 38986] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 - 2*z^2 + 
   z^2/a^2 + a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   6*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 38987] -> 2*a^2 - 7*a^4 + 13*a^6 - 8*a^8 + a^10 + 
   7*a^2*z^2 - 22*a^4*z^2 + 30*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 
   27*a^4*z^4 + 22*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   17*a^4*z^6 + 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 38988] -> -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (21*z^2)/a^4 + (11*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (35*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (29*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 38989] -> 2/a^12 - 7/a^10 + 3/a^8 + 5/a^6 - 2/a^4 + 
   (4*z^2)/a^12 - (21*z^2)/a^10 + (18*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (33*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 38990] -> a^(-12) - 4/a^10 + 2/a^8 + 
   a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + (5*z^2)/a^8 + 
   (9*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (6*z^4)/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 38991] -> 
  -1 + 2*a^2 + 3*a^6 - 4*a^8 + a^10 - 3*z^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 8*a^2*z^4 - 
   5*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 38992] -> 
  -1 - a^(-4) + 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 38993] -> a^(-10) - 6/a^8 + 6/a^6 + 
   a^(-4) - a^(-2) + z^2/a^12 - z^2/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + 
   (20*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 38994] -> -9 - 2/a^4 + 7/a^2 + 9*a^2 - 
   6*a^4 + 2*a^6 - 22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 
   16*a^4*z^2 + 5*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 38995] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - a^2 - a^4 + 
   a^6 + 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 4*a^4*z^4 + 
   a^6*z^4 + z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 38996] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   a^2*z^2 - 2*a^4*z^2 + 15*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - 8*a^4*z^4 + 20*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 
   8*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 38997] -> -2 + a^(-2) + 2*a^2 + a^6 - 
   a^8 - 4*z^2 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   2*z^4 + 2*a^2*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6/a^2 - a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 38998] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 + 6*a^4*z^2 - 
   a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 38999] -> 
  -2 + 2/a^8 - 9/a^6 + 9/a^4 + a^(-2) - 9*z^2 + (5*z^2)/a^8 - (28*z^2)/a^6 + 
   (33*z^2)/a^4 + (5*z^2)/a^2 - 12*z^4 + (4*z^4)/a^8 - (34*z^4)/a^6 + 
   (50*z^4)/a^4 + (12*z^4)/a^2 - 6*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (38*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 39000] -> 
  -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 6*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (6*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (9*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 39001] -> 2/a^12 - 9/a^10 + 8/a^8 + a^(-6) - a^(-4) + 
   (4*z^2)/a^12 - (22*z^2)/a^10 + (24*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (35*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 39002] -> a^(-12) - 4/a^10 + 6/a^6 - 
   2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^8 + (15*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + 
   (16*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39003] -> -7 - 2/a^4 + 7/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39004] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 3*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 39005] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - 
   z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 39006] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - 
   a^6 + 9*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 
   6*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 39007] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   25*z^2 + z^2/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 
   31*z^4 + z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39008] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 39009] -> 
  2*a^6 - 3*a^8 + 7*a^10 - 6*a^12 + a^14 + 8*a^6*z^2 - 6*a^8*z^2 + 
   17*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + a^4*z^4 + 8*a^6*z^4 - 8*a^8*z^4 + 
   15*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 + a^6*z^6 - 8*a^8*z^6 + 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 39010] -> 2*a^6 - 3*a^8 + 7*a^10 - 6*a^12 + a^14 + 
   7*a^6*z^2 - 5*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 - 3*a^14*z^2 + 
   9*a^6*z^4 - 6*a^8*z^4 + 12*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 
   5*a^6*z^6 - 8*a^8*z^6 - a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 39011] -> a^4 - a^6 + 2*a^8 + a^10 - 2*a^12 + 
   3*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 39012] -> -a^4 + 6*a^6 - 4*a^8 + a^2*z^2 - 3*a^4*z^2 + 
   12*a^6*z^2 - a^8*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 7*a^6*z^4 + 
   7*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 39013] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + 2*a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 5*a^10*z^2 - a^4*z^4 + 
   9*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   6*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 39014] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 2*a^4*z^4 + 
   11*a^6*z^4 - 8*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 7*a^6*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 39015] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 15*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 - 6*z^4 + 18*a^2*z^4 - 12*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39016] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 - z^2 + 
   5*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 + a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 39017] -> -1 + 3*a^2 - 2*a^4 + 4*a^6 - 4*a^8 + a^10 - 
   3*z^2 + 10*a^2*z^2 - 10*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   z^4 - z^4/a^2 + 11*a^2*z^4 - 14*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   4*a^2*z^6 - 8*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 39018] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 14*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 39019] -> -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 
   11*z^2 + z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 39020] -> 
  2*a^6 - 3*a^8 + 9*a^10 - 11*a^12 + 5*a^14 - a^16 + 7*a^6*z^2 - 7*a^8*z^2 + 
   24*a^10*z^2 - 16*a^12*z^2 + 2*a^14*z^2 + 9*a^6*z^4 - 9*a^8*z^4 + 
   21*a^10*z^4 - 3*a^14*z^4 + 5*a^6*z^6 - 9*a^8*z^6 + 4*a^10*z^6 + 
   7*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 3*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 39021] -> 
  a^4 - a^6 + 4*a^8 - 4*a^10 + 2*a^12 - a^14 + 3*a^4*z^2 - 3*a^6*z^2 + 
   14*a^8*z^2 - 8*a^10*z^2 + 5*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - 
   4*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 + 5*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 39022] -> -2 + a^(-2) + 5*a^2 - 7*a^4 + 
   6*a^6 - 2*a^8 - 8*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 23*a^4*z^2 + 
   14*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + z^4/a^2 + 23*a^2*z^4 - 26*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39023] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 2*z^2 - 
   8*a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + a^2*z^4 - 14*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 4*a^2*z^6 - 10*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39024] -> a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + 2*z^2 + 
   a^2*z^2 - 10*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 
   19*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39025] -> 6*a^6 - 10*a^8 + 9*a^10 - 5*a^12 + a^14 - 
   2*a^4*z^2 + 20*a^6*z^2 - 23*a^8*z^2 + 15*a^10*z^2 - 4*a^12*z^2 - 
   5*a^4*z^4 + 23*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - 
   4*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 2*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 39026] -> -3 - a^(-4) + 4/a^2 - 2*a^2 + 5*a^4 - 
   2*a^6 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + 
   8*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 39027] -> 
  1 + a^4 - 3*a^6 + 3*a^8 - a^10 + 3*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 
   2*z^4 + a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 39028] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 7*a^8 + 4*a^10 - a^12 + 4*a^2*z^2 - 10*a^4*z^2 + 
   18*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 
   23*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39029] -> 1 - a^2 + 2*a^4 - 3*a^8 + 3*a^10 - a^12 + 
   z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   4*a^2*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 39030] -> 
  3*a^6 - 4*a^8 + 7*a^10 - 7*a^12 + 2*a^14 + 3*a^4*z^2 + 6*a^6*z^2 - 
   12*a^8*z^2 + 22*a^10*z^2 - 12*a^12*z^2 + a^14*z^2 + 2*a^4*z^4 + 
   7*a^6*z^4 - 20*a^8*z^4 + 22*a^10*z^4 - 4*a^12*z^4 - 2*a^4*z^6 + 
   6*a^6*z^6 - 16*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 4*a^6*z^8 - 4*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 39031] -> a^4 + a^8 + a^10 - 3*a^12 + 
   a^14 + a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 6*a^10*z^2 - 
   4*a^12*z^2 + 3*a^4*z^4 - 5*a^6*z^4 - 2*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + 
   a^4*z^6 - 2*a^6*z^6 - 4*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 39032] -> -1 + 4*a^2 - 7*a^4 + 12*a^6 - 9*a^8 + 
   2*a^10 - z^2 + 10*a^2*z^2 - 21*a^4*z^2 + 28*a^6*z^2 - 12*a^8*z^2 + 
   a^10*z^2 - z^4 + 11*a^2*z^4 - 26*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 8*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39033] -> a^2 - a^6 + 4*a^8 - 4*a^10 + 
   a^12 + 2*z^2 - a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 - 
   a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + 6*a^8*z^4 - z^6 + a^2*z^6 - 4*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 39034] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - (8*z^2)/a^8 + (24*z^2)/a^6 - 
   (19*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + (18*z^4)/a^6 - 
   (26*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + (2*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39035] -> 
  7*a^6 - 10*a^8 + 5*a^10 - a^12 + 2*a^2*z^2 - 10*a^4*z^2 + 28*a^6*z^2 - 
   21*a^8*z^2 + 5*a^10*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 30*a^6*z^4 - 
   10*a^8*z^4 - a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 + 11*a^6*z^6 + 3*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 39036] -> 3*a^4 - 2*a^6 + z^2 - 
   4*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - a^8*z^2 + 2*z^4 - 6*a^2*z^4 + 
   6*a^4*z^4 + a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 + a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39037] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 13*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 
   13*a^4*z^2 + a^6*z^2 - 18*z^4 + (5*z^4)/a^2 + 24*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 + 7*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 2*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39038] -> 2*a^2 - 2*a^6 + a^8 - 4*z^2 + z^2/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 7*a^4*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 39039] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39040] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 39041] -> 1 + 3*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 39042] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 
   4*z^2 + 17*a^2*z^2 - 23*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   23*a^2*z^4 - 20*a^4*z^4 + 2*a^8*z^4 - 5*z^6 + 16*a^2*z^6 - 3*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 39043] -> a^(-10) - 5/a^8 + 7/a^6 - 
   4/a^4 + 2/a^2 - z^2/a^10 - (3*z^2)/a^8 + (15*z^2)/a^6 - (14*z^2)/a^4 + 
   (6*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39044] -> 
  -5 - 2/a^8 + 5/a^6 - 6/a^4 + 7/a^2 + 2*a^2 - 20*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (20*z^2)/a^4 + (26*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (32*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 39045] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 
   2/a^2 + z^2 - (6*z^2)/a^8 + (19*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (15*z^4)/a^6 - (20*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 39046] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   19*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 39047] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 5*a^8*z^2 + 
   3*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39048] -> 2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 - 
   3*a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + z^4 + a^2*z^4 - 
   9*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 - a^10*z^4 + z^6 - 7*a^4*z^6 + 
   5*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 39049] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + a^6*z^4 + z^6 - z^6/a^4 + z^6/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 39050] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 
   7*a^6*z^2 - 6*z^4 + 16*a^2*z^4 - 11*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 
   4*z^6 + 12*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39051] -> 
  -6 + 2/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 28*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   26*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 35*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39052] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 3*z^2 + 14*a^2*z^2 - 19*a^4*z^2 + 
   9*a^6*z^2 - 3*z^4 - (2*z^4)/a^2 + 17*a^2*z^4 - 17*a^4*z^4 + a^8*z^4 + 
   z^6 - z^6/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 39053] -> -4 - 2/a^8 + 5/a^6 - 5/a^4 + 
   5/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - (19*z^4)/a^4 + 
   (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39054] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39055] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39056] -> 1 - a^2 + a^4 + a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39057] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 
   2*a^6 - 17*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 11*a^4*z^2 + 
   a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 22*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 39058] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 
   6*z^4 + 17*a^2*z^4 - 10*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 
   12*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39059] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   a^8*z^2 + 6*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 + 
   a^8*z^4 + 3*z^6 - z^6/a^2 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 39060] -> 5*a^2 - 8*a^4 + 6*a^6 - 3*a^8 + 
   a^10 - 5*z^2 + 18*a^2*z^2 - 26*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 7*z^4 + 26*a^2*z^4 - 31*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 18*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39061] -> 
  2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 
   6*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 39062] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 18*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 
   a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 20*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 39063] -> 
  3*a^4 - 2*a^6 - z^2 + 4*a^2*z^2 - a^6*z^2 + a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   6*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 8*a^2*z^6 - 2*a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 39064] -> 4*a^6 - 4*a^8 + 3*a^10 - 
   3*a^12 + a^14 - 2*a^4*z^2 + 17*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - 
   3*a^12*z^2 - 5*a^4*z^4 + 22*a^6*z^4 - 15*a^8*z^4 + 2*a^10*z^4 + 
   2*a^12*z^4 - 4*a^4*z^6 + 13*a^6*z^6 - 5*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 2*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 39065] -> 2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 - 
   a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 39066] -> -6 + a^(-6) - 4/a^4 + 8/a^2 + 
   a^2 + a^4 - 10*z^2 - z^2/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 39067] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 - 2*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - 5*a^4*z^4 + 20*a^6*z^4 - 10*a^8*z^4 - 5*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 39068] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 - a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 39069] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 14*a^6*z^2 - 
   12*a^8*z^2 + 5*a^10*z^2 - a^2*z^4 - a^4*z^4 + 14*a^6*z^4 - 13*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 39070] -> 
  -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 17*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (20*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39071] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 39072] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 11*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39073] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 39074] -> -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 39075] -> -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + (4*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39076] -> 
  -2 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39077] -> 
  3*a^2 - 3*a^4 + a^6 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39078] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 39079] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39080] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 16*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (20*z^2)/a^4 + (28*z^2)/a^2 + 4*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - 
   (19*z^4)/a^4 + (34*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 39081] -> -2 + a^(-10) - 4/a^8 + 4/a^6 - 3/a^4 + 
   5/a^2 - 6*z^2 + z^2/a^10 - (9*z^2)/a^8 + (20*z^2)/a^6 - (21*z^2)/a^4 + 
   (20*z^2)/a^2 - 7*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (31*z^4)/a^4 + 
   (28*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39082] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39083] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 39084] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39085] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39086] -> 
  -4 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (15*z^2)/a^4 + (21*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 39087] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 
   7*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   4*a^4*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 - 
   12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39088] -> 
  -3 - a^(-4) + 3/a^2 + 5*a^2 - 5*a^4 + 2*a^6 - 15*z^2 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39089] -> 
  1 - a^2 + a^4 + a^10 - a^12 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   5*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 39090] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   8*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 
   13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39091] -> -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   6*z^2 + z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 39092] -> -4 + a^(-6) - 3/a^4 + 4/a^2 + 5*a^2 - 
   2*a^4 - 18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 24*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 16*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39093] -> 
  2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 39094] -> 2 - a^(-8) + 3/a^6 - 4/a^4 + 
   2/a^2 - a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39095] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 39096] -> 
  8 - 3/a^2 - 5*a^2 + a^4 + 37*z^2 - (10*z^2)/a^2 - 39*a^2*z^2 + 14*a^4*z^2 + 
   59*z^4 - (12*z^4)/a^2 - 76*a^2*z^4 + 25*a^4*z^4 + 43*z^6 - (6*z^6)/a^2 - 
   69*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39097] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   17*a^2*z^2 + 8*a^4*z^2 + z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 25*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39098] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 18*z^2 - 
   (5*z^2)/a^4 + (20*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 26*z^4 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - 17*z^6 - z^6/a^4 + (11*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 39099] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39100] -> 
  1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 5*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   13*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39101] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39102] -> 
  a^2 - 2*a^4 + 5*a^6 - 4*a^8 + 2*a^10 - a^12 + z^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   11*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 
   8*a^4*z^4 + 7*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 39103] -> -2 + a^(-2) + 4*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 - 8*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 
   5*a^8*z^2 - 9*z^4 + z^4/a^2 + 21*a^2*z^4 - 29*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39104] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 39105] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 17*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39106] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39107] -> 
  1 - a^4 + 2*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + z^4/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39108] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 7*z^2 + z^2/a^2 + 18*a^2*z^2 - 
   16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   9*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 
   2*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39109] -> -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + z^2/a^2 + 
   10*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 
   7*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 + 8*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39110] -> -3 - 2/a^4 + 5/a^2 + a^2 - 13*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 39111] -> 
  5 - 2/a^2 - 2*a^2 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39112] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39113] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 39114] -> 
  4 + a^(-4) - 3/a^2 - a^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39115] -> 
  -2 + 5*a^2 - a^4 - a^6 - 12*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 
   a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 14*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39116] -> 
  2 - a^(-2) + a^4 - a^6 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 39117] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 17*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39118] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39119] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 39120] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   2*z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + 
   a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39121] -> -4 + a^(-2) + 6*a^2 - 2*a^4 + a^6 - a^8 - 
   7*z^2 + z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 39122] -> -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 
   a^2*z^2 - a^4*z^2 + 9*a^6*z^2 + 12*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 11*a^6*z^4 + 17*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 39123] -> 
  -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - a^2*z^2 - 7*a^4*z^2 + 23*a^6*z^2 + 
   3*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 
   27*a^6*z^4 + 11*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 39124] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - (15*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 39125] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 8*z^2 + 
   (6*z^2)/a^8 - (28*z^2)/a^6 + (30*z^2)/a^4 + (5*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (33*z^4)/a^6 + (46*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39126] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 39127] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + 2*a^2*z^4 - 
   2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 39128] -> 
  1 - a^2 + a^4 + a^6 - 3*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 + 
   6*a^6*z^2 - 10*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   3*a^4*z^4 + 6*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 39129] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39130] -> 
  1 + z^2 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 39131] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (11*z^4)/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39132] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 18*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39133] -> -8 + 3/a^2 + 10*a^2 - 5*a^4 + a^6 - 
   20*z^2 - z^2/a^4 + (7*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   20*z^4 - z^4/a^4 + (7*z^4)/a^2 + 25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39134] -> 
  -3 + a^(-2) + 8*a^2 - 9*a^4 + 5*a^6 - a^8 - 11*z^2 + z^2/a^2 + 24*a^2*z^2 - 
   22*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 29*a^2*z^4 - 
   18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 39135] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 22*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 26*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39136] -> 2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - 
   a^10 + 6*a^2*z^2 - 16*a^4*z^2 + 18*a^6*z^2 + a^8*z^2 - 3*a^10*z^2 + 
   7*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   13*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39137] -> 
  -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   19*a^2*z^4 - 16*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39138] -> -3 - a^(-4) + 3/a^2 + 2*a^2 + 
   a^4 - a^6 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 39139] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 21*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39140] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39141] -> 
  2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 39142] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + 3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 3*a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39143] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 3*a^8*z^2 - 3*z^4 + 14*a^2*z^4 - 13*a^4*z^4 - 
   10*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 8*a^4*z^6 - 11*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 39144] -> 2*a^2 - 5*a^4 + 10*a^6 - 8*a^8 + 
   2*a^10 - z^2 + 6*a^2*z^2 - 15*a^4*z^2 + 26*a^6*z^2 - 16*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 20*a^4*z^4 + 27*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39145] -> -2 - a^(-4) + 2/a^2 + 6*a^2 - 6*a^4 + 
   2*a^6 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39146] -> 
  2 - 2/a^8 + 6/a^6 - 7/a^4 + 3/a^2 - a^2 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (13*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39147] -> -a^4 + 6*a^6 - 3*a^8 - 2*a^10 + a^12 - 
   4*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   5*a^4*z^4 + 20*a^6*z^4 + a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 13*a^6*z^6 + 3*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 39148] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   4*z^2 + 15*a^2*z^2 - 21*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + 18*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39149] -> 
  -1 + 4*a^2 - 3*a^4 + 3*a^6 - 3*a^8 + a^10 - 3*z^2 + 9*a^2*z^2 - 6*a^4*z^2 + 
   5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 4*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - z^6 + 7*a^2*z^6 - 3*a^4*z^6 - 6*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 39150] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + 
   a^6 - 14*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39151] -> 
  -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - a^4*z^2 - 4*a^6*z^2 + 39*a^8*z^2 - 
   33*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 - 3*a^6*z^4 + 52*a^8*z^4 - 
   35*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 35*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 39152] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 4*a^4*z^2 + 14*a^6*z^2 + 
   7*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 16*a^6*z^4 + 
   9*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 39153] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   z^2/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + (21*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (24*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39154] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 
   2*a^2 - 20*z^2 - z^2/a^8 + (7*z^2)/a^6 - (17*z^2)/a^4 + (24*z^2)/a^2 + 
   6*a^2*z^2 - 28*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (29*z^4)/a^2 + 
   8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 39155] -> 
  -2 + a^(-2) + 6*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 8*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 
   21*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 39156] -> 2*a^2 - 3*a^4 + 3*a^6 - a^8 + 
   a^10 - a^12 + 5*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 + a^2*z^4 - 7*a^4*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 39157] -> -2 + a^(-2) + 5*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   8*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39158] -> 
  1 - a^2 + 2*a^4 - 3*a^6 + 3*a^8 - a^12 + 2*z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 + 
   2*a^4*z^4 - 6*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 39159] -> 
  -4 - a^(-4) + 3/a^2 + 6*a^2 - 4*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39160] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 13*z^2 - z^2/a^4 + (4*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39161] -> 
  2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + (6*z^2)/a^8 - (31*z^2)/a^6 + 
   (45*z^2)/a^4 - (16*z^2)/a^2 + (8*z^4)/a^8 - (48*z^4)/a^6 + (77*z^4)/a^4 - 
   (26*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + (69*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 39162] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 5*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (14*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (19*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39163] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (21*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39164] -> 3 - a^(-2) - a^2 + 7*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 39165] -> 2*a^2 - 3*a^4 + 5*a^6 - 6*a^8 + 
   5*a^10 - 2*a^12 + 5*a^2*z^2 - 10*a^4*z^2 + 16*a^6*z^2 - 18*a^8*z^2 + 
   14*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 17*a^6*z^4 - 
   23*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 39166] -> 1 - a^2 + 2*a^4 - a^6 - 2*a^8 + 4*a^10 - 
   2*a^12 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 6*a^8*z^2 + 
   8*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   8*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 39167] -> 
  1 + a^2 - 5*a^4 + 8*a^6 - 5*a^8 + a^10 + 6*a^2*z^2 - 18*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 23*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39168] -> 
  -a^2 + 4*a^4 - 3*a^8 + a^10 - 2*z^2 + 2*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 3*z^4 + 7*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 + 
   a^8*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39169] -> -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 
   2*z^2 + 2*a^2*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 - 5*a^4*z^4 + 21*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 39170] -> 
  -4 - a^(-8) + 3/a^6 - 6/a^4 + 8/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39171] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 10*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39172] -> a^2 + a^4 - a^6 - 5*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39173] -> 1 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 6*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39174] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 13*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 39175] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 - z^6/a^10 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39176] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39177] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (17*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39178] -> 
  -4 - a^(-8) + 3/a^6 - 6/a^4 + 8/a^2 + a^2 - 11*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (16*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (18*z^4)/a^4 + (25*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39179] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 9*z^6 - z^6/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39180] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 6/a^6 - 
   4/a^4 + a^(-2) + 2*z^2 + (5*z^2)/a^10 - (13*z^2)/a^8 + (18*z^2)/a^6 - 
   (11*z^2)/a^4 + 2*z^4 - (9*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (7*z^6)/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 39181] -> 
  -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 5*z^2 + 11*a^2*z^2 - a^6*z^2 - 4*z^4 + 
   14*a^2*z^4 - 7*a^6*z^4 + 4*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39182] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39183] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 39184] -> 2 - 2*a^2 + 2*a^6 - a^8 - z^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   11*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39185] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 + z^4 - 
   a^2*z^4 - 7*a^4*z^4 + 12*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 39186] -> 
  -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 19*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   21*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   21*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39187] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 15*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39188] -> 
  1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + z^2 - z^2/a^2 + 7*a^2*z^2 - 
   19*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 39189] -> -2/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 - z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39190] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39191] -> 
  1 + 3*z^2 - z^2/a^4 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 + 
   z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 39192] -> 
  -7 + 4/a^2 + 6*a^2 - 4*a^4 + 2*a^6 - 21*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   16*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   19*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39193] -> 1 + 3*a^2 - 7*a^4 + 6*a^6 - 3*a^8 + a^10 - 
   z^2/a^2 + 8*a^2*z^2 - 19*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 7*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 39194] -> 
  -5 + 2/a^6 - 5/a^4 + 7/a^2 + a^2 + a^4 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 39195] -> -5 + a^(-4) + a^(-2) + 7*a^2 - 4*a^4 + a^8 - 
   11*z^2 - z^2/a^6 + z^2/a^4 + 12*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6, Knot[15, Alternating, 39196] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 - z^2 + 9*a^2*z^2 - 16*a^4*z^2 + 16*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 11*a^2*z^4 - 24*a^4*z^4 + 18*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 7*a^2*z^6 - 15*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39197] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 19*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39198] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   19*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 39199] -> 
  -7 + a^(-6) - 3/a^4 + 6/a^2 + 5*a^2 - a^4 - 18*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (17*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39200] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 5*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39201] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - z^4/a^6 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39202] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 39203] -> 
  -3 - a^(-4) + 3/a^2 + 5*a^2 - 5*a^4 + 2*a^6 - 15*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39204] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   3*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - (5*z^4)/a^2 + 
   6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39205] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 11*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 14*z^4 - (4*z^4)/a^4 + 
   (19*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 11*z^6 - z^6/a^4 + (10*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 39206] -> 
  -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 12*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 
   3*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - a^4*z^4 - 13*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39207] -> 
  2 - a^(-2) + a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^2 + 2*a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39208] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 12*z^2 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39209] -> 
  -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 7*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (11*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 39210] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39211] -> 
  -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 39212] -> 
  2/a^12 - 8/a^10 + 8/a^8 - 2/a^6 + a^(-4) + (4*z^2)/a^12 - (20*z^2)/a^10 + 
   (24*z^2)/a^8 - z^2/a^6 + (4*z^4)/a^12 - (25*z^4)/a^10 + (35*z^4)/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 39213] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + (4*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39214] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   6*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + (24*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (40*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (33*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39215] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (14*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 39216] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 9*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39217] -> -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39218] -> 
  -3 + 2/a^2 + 3*a^2 - 5*a^4 + 7*a^6 - 3*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 21*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   22*a^2*z^4 - 28*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 39219] -> 1 + a^(-4) - a^(-2) - a^2 - 
   a^4 + 4*a^6 - 2*a^8 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 - 6*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 39220] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 39221] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   2*z^2 + a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 + z^4 - 
   3*a^2*z^4 - 10*a^4*z^4 + 12*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 39222] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 
   2*a^8 - 10*z^2 + (3*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39223] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   6*z^4 + z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39224] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 20*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 25*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (17*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39225] -> 2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 
   2/a^4 + (4*z^2)/a^12 - (18*z^2)/a^10 + (10*z^2)/a^8 + (18*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^4)/a^12 - (25*z^4)/a^10 + (28*z^4)/a^8 + (18*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + (11*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 39226] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 3/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39227] -> 7 - 3/a^2 - 3*a^2 + 32*z^2 - (9*z^2)/a^2 - 
   31*a^2*z^2 + 11*a^4*z^2 + 52*z^4 - (10*z^4)/a^2 - 67*a^2*z^4 + 
   23*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - 
   z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 39228] -> 2 - a^(-4) + a^(-2) - a^2 - 
   z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 17*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39229] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 14*z^2 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^4*z^2 - 19*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39230] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39231] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (17*z^4)/a^4 - (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (19*z^6)/a^4 + z^6/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + (3*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 39232] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + z^2/a^12 - (4*z^2)/a^10 - 
   z^2/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39233] -> -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 6*z^2 + 
   (6*z^2)/a^8 - (25*z^2)/a^6 + (24*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (32*z^4)/a^6 + (42*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39234] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (14*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + (20*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 39235] -> 
  -2 + 5*a^2 - a^4 - a^6 - 5*z^2 + 12*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 
   3*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - a^4*z^4 - 13*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   9*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39236] -> 
  1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (15*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39237] -> 
  -2 + a^(-6) - 4/a^4 + 5/a^2 + 2*a^2 - a^4 - 11*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + z^4/a^6 - 
   (10*z^4)/a^4 + (22*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 39238] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 39239] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39240] -> 
  -3 + 2/a^2 + 3*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 12*z^2 + (3*z^2)/a^2 + 
   17*a^2*z^2 - 22*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   24*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 39241] -> 1 + a^(-4) - a^(-2) - 3*a^4 + 
   5*a^6 - 2*a^8 + 4*z^2 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 39242] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   2*z^2 - 3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39243] -> -3 + a^(-4) + 4*a^2 - a^4 - 9*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39244] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39245] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39246] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39247] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 39248] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 4*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 39249] -> 1 + a^(-10) - a^(-8) - a^(-4) + a^(-2) + 
   2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + 
   z^4 - z^4/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39250] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39251] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (13*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39252] -> a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + 
   z^2/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + (23*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39253] -> -1 + a^(-10) - 4/a^8 + 5/a^6 - 4/a^4 + 
   4/a^2 - 3*z^2 + (2*z^2)/a^10 - (11*z^2)/a^8 + (19*z^2)/a^6 - 
   (15*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (10*z^4)/a^8 + 
   (23*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (13*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39254] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (14*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39255] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - a^6 + 2*a^8 - a^10 - 4*z^2 + z^2/a^4 + 
   5*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 - (3*z^4)/a^2 + 
   a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 3*z^6 + a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 39256] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 8*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 25*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39257] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39258] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 39259] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39260] -> -1 + a^(-2) + a^2 - 7*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + z^6/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39261] -> a^(-10) - 4/a^8 + 4/a^6 - 
   a^(-4) + a^(-2) - z^2/a^10 + (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (17*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 39262] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - 
   a^6 + 4*z^2 - z^2/a^2 - 8*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + 
   z^4/a^2 - 5*a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39263] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (12*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 39264] -> -1 + a^(-2) + a^2 - 9*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39265] -> 
  -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + z^2/a^2 + 11*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39266] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 39267] -> 
  2 - a^(-2) + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39268] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39269] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39270] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2/a^10 + z^2/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^4)/a^10 + (13*z^4)/a^8 - (13*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - z^6/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 39271] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39272] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^2 - 
   7*a^2*z^2 + a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 39273] -> 
  -4 + a^(-2) + 6*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39274] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 
   2*a^6 - 15*z^2 + (6*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 39275] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39276] -> -a^4 + 4*a^6 + 3*a^8 - 8*a^10 + 3*a^12 - 
   4*a^4*z^2 + 10*a^6*z^2 + 19*a^8*z^2 - 26*a^10*z^2 + 7*a^12*z^2 - 
   6*a^4*z^4 + 8*a^6*z^4 + 35*a^8*z^4 - 31*a^10*z^4 + 5*a^12*z^4 - 
   4*a^4*z^6 + 6*a^6*z^6 + 29*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 39277] -> -3 + 2/a^8 - 8/a^6 + 6/a^4 + 4/a^2 - 9*z^2 + 
   (6*z^2)/a^8 - (26*z^2)/a^6 + (25*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (38*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39278] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (14*z^4)/a^2 + 9*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (21*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 39279] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 39280] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 39281] -> 8*a^8 - 10*a^10 + 3*a^12 - 2*a^4*z^2 + 
   a^6*z^2 + 31*a^8*z^2 - 30*a^10*z^2 + 7*a^12*z^2 - 5*a^4*z^4 + a^6*z^4 + 
   46*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 
   34*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 39282] -> 
  -a^4 + 2*a^6 + 8*a^8 - 12*a^10 + 4*a^12 - 4*a^4*z^2 + 5*a^6*z^2 + 
   32*a^8*z^2 - 34*a^10*z^2 + 8*a^12*z^2 - 6*a^4*z^4 + 4*a^6*z^4 + 
   48*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 39283] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 + 
   10*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 10*a^6*z^4 + 
   10*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 39284] -> -2*a^4 + 7*a^6 - 7*a^10 + 3*a^12 - 
   7*a^4*z^2 + 17*a^6*z^2 + 15*a^8*z^2 - 26*a^10*z^2 + 7*a^12*z^2 - 
   9*a^4*z^4 + 17*a^6*z^4 + 32*a^8*z^4 - 31*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 11*a^6*z^6 + 28*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 39285] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 
   4*z^2 + z^2/a^4 + 4*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - z^4 - 
   (3*z^4)/a^2 + a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 3*z^6 + a^2*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 39286] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - z^2 + (3*z^2)/a^6 - (16*z^2)/a^4 + 
   (21*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + (3*z^4)/a^6 - (17*z^4)/a^4 + 
   (22*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 39287] -> 2 - a^(-4) + a^(-2) - a^2 + 7*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39288] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 8*z^2 + 
   (6*z^2)/a^8 - (31*z^2)/a^6 + (38*z^2)/a^4 + (2*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (34*z^4)/a^6 + (51*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (36*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39289] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39290] -> 5 - 2/a^2 - 2*a^2 + 30*z^2 + (2*z^2)/a^4 - 
   (17*z^2)/a^2 - 13*a^2*z^2 + 66*z^4 + (5*z^4)/a^4 - (36*z^4)/a^2 - 
   24*a^2*z^4 + 66*z^6 + (4*z^6)/a^4 - (32*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 39291] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 
   z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 39292] -> 
  -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 12*z^2 + (6*z^2)/a^8 - (26*z^2)/a^6 + 
   (21*z^2)/a^4 + (17*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (39*z^4)/a^4 + (20*z^4)/a^2 - 6*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (33*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 39293] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 - (2*z^2)/a^6 + (11*z^2)/a^4 - 
   (14*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (18*z^4)/a^4 - 
   (24*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (23*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 39294] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 39295] -> 
  2*a^2 - 3*a^4 + 6*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + 6*a^2*z^2 - 14*a^4*z^2 + 
   22*a^6*z^2 - 21*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 
   22*a^4*z^4 + 26*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   14*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 39296] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 
   3*a^4 - 18*z^2 - (5*z^2)/a^4 + (16*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 
   19*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 12*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39297] -> 
  -2 + 5*a^2 - 2*a^4 + 2*a^6 - 3*a^8 + a^10 - 5*z^2 + 13*a^2*z^2 - 
   6*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 
   7*a^4*z^4 + 2*a^6*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 4*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 39298] -> 2 - a^(-2) - a^2 + 4*a^4 - 
   4*a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 12*a^4*z^2 - 9*a^6*z^2 + 
   2*a^8*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 9*a^4*z^4 - 7*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39299] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39300] -> 
  -7 - 4/a^4 + 10/a^2 + 2*a^2 - 19*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (24*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (23*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39301] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - z^2/a^12 + (3*z^2)/a^10 - 
   (6*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (9*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39302] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (7*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 39303] -> 
  2 + a^(-4) - 2/a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39304] -> 
  -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   22*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39305] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + z^2 + 
   a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 5*a^10*z^2 + z^4 - 
   2*a^2*z^4 - 8*a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 39306] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   5*z^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (2*z^6)/a^8 - (9*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39307] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39308] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   5*a^4*z^2 + 15*a^6*z^2 + 6*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   6*a^4*z^4 + 19*a^6*z^4 + 12*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 13*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 39309] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 - 2*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39310] -> 
  -1 + a^2 + 5*a^4 - 5*a^6 + a^8 - 3*z^2 + 4*a^2*z^2 + 12*a^4*z^2 - 
   13*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 9*a^4*z^4 - 17*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39311] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 4*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 39312] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39313] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   z^2/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39314] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 - z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 39315] -> -5 - a^(-4) + 3/a^2 + 8*a^2 - 
   5*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 23*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39316] -> -5 + 2/a^6 - 3/a^4 + 3/a^2 + 5*a^2 - a^4 - 
   18*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + z^4/a^6 - (11*z^4)/a^4 + (21*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39317] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39318] -> -3 + 2/a^6 - 4/a^4 + 5/a^2 - a^2 + 
   2*a^4 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 39319] -> 
  -4 + a^(-4) + a^(-2) + 4*a^2 - a^4 - a^6 + a^8 - 11*z^2 - z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 4*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 2*a^2*z^6, 
 Knot[15, Alternating, 39320] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + 
   z^4/a^2 + 23*a^2*z^4 - 21*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39321] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39322] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39323] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 39324] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   19*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   23*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (8*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 39325] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39326] -> -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 
   2*a^8 - 10*z^2 + (3*z^2)/a^2 + 17*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39327] -> 
  a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39328] -> -1 + 2*a^2 + 3*a^6 - 4*a^8 + a^10 - 4*z^2 + 
   8*a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 
   9*a^2*z^4 - 4*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 39329] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39330] -> 6 - 3/a^2 - a^2 - a^4 + 26*z^2 - 
   (8*z^2)/a^2 - 21*a^2*z^2 + 7*a^4*z^2 + 46*z^4 - (9*z^4)/a^2 - 56*a^2*z^4 + 
   20*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - 
   z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 39331] -> 4 - a^(-4) - 2*a^2 + 9*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 39332] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   16*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 
   20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39333] -> -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 
   14*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 39334] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39335] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 5*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39336] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) + 
   (4*z^2)/a^12 - (19*z^2)/a^10 + (20*z^2)/a^8 + (4*z^4)/a^12 - 
   (25*z^4)/a^10 + (34*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (28*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39337] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39338] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + (26*z^2)/a^4 - z^2/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^6 + (39*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39339] -> 5 - a^(-4) - 4*a^2 + a^4 + 9*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 13*a^2*z^2 + 5*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 39340] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - z^4 - 
   z^4/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   4*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 39341] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39342] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39343] -> 1 + z^2 - z^2/a^4 + 3*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 39344] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (12*z^4)/a^6 - 
   (14*z^4)/a^4 + z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39345] -> 2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (15*z^2)/a^8 + z^2/a^4 + (4*z^4)/a^12 - 
   (22*z^4)/a^10 + (25*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (14*z^6)/a^10 + (23*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39346] -> -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 
   7*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + (11*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (26*z^4)/a^6 + (27*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39347] -> a^(-12) - 3/a^10 + 2/a^8 + a^(-2) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (8*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39348] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 10*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 39349] -> 2 + a^(-8) - 2/a^6 + a^(-2) - 
   a^2 + 4*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + 4*z^4 + z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 39350] -> 
  -1 - a^(-4) + 3/a^2 - 2*a^2 + 3*a^4 - a^6 - 3*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 4*z^4 - z^4/a^4 + (8*z^4)/a^2 - 
   12*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 10*a^2*z^6 - 
   a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 39351] -> -2 + 5*a^2 - 2*a^4 + 2*a^6 - 3*a^8 + a^10 - 
   5*z^2 + 13*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 15*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - z^6 + 9*a^2*z^6 - 6*a^4*z^6 - 
   4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39352] -> 
  a^(-10) - 2/a^8 + 3/a^6 - 3/a^4 + a^(-2) + a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 39353] -> 
  -4 + a^(-6) - 2/a^4 + 3/a^2 + 3*a^2 + a^4 - a^6 - 13*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 39354] -> -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 8*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39355] -> 
  -3 + 2/a^2 + 4*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - 11*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 21*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 
   22*a^2*z^4 - 24*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39356] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39357] -> 
  -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 5*z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 39358] -> 
  1 - 3*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 - 8*a^4*z^2 + 17*a^6*z^2 - 
   10*a^8*z^2 + 2*a^10*z^2 - z^4 + 3*a^2*z^4 - 12*a^4*z^4 + 18*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39359] -> -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 
   5*z^2 + z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (2*z^6)/a^8 - (9*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39360] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - 
   z^2/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39361] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 + 
   (4*z^2)/a^4 + (5*z^4)/a^12 - (15*z^4)/a^8 + (4*z^4)/a^4 + z^4/a^2 - 
   (4*z^6)/a^10 - (9*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 39362] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   13*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 
   12*z^4 - (6*z^4)/a^4 + (12*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^6 - z^6/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 39363] -> -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 23*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 21*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39364] -> 
  -1 + 6*a^2 - 8*a^4 + 6*a^6 - 2*a^8 - 8*z^2 + z^2/a^2 + 20*a^2*z^2 - 
   21*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 
   23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39365] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 39366] -> 
  -11 - 4/a^4 + 11/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (26*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (26*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39367] -> 
  1 + a^(-6) - 2/a^4 + 2/a^2 - 3*a^2 + 2*a^4 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39368] -> -7 + a^(-6) - 3/a^4 + 5/a^2 + 8*a^2 - 
   3*a^4 - 20*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 18*a^2*z^2 - 
   5*a^4*z^2 - 24*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39369] -> 
  -1 + 2*a^2 + a^4 + a^6 - 3*a^8 + a^10 - 3*z^2 + 7*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 4*a^6*z^4 + a^8*z^4 - 
   z^6 + 7*a^2*z^6 - 2*a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39370] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (4*z^2)/a^12 - (16*z^2)/a^10 + (11*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (22*z^4)/a^10 + (24*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (23*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 39371] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + 
   a^(-2) - 4*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (18*z^2)/a^4 + (3*z^2)/a^2 - 
   6*z^4 + (4*z^4)/a^8 - (24*z^4)/a^6 + (27*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (24*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39372] -> -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 7*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39373] -> 
  2/a^12 - 5/a^10 + 5/a^6 - a^(-4) + (4*z^2)/a^12 - (18*z^2)/a^10 + 
   (12*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (25*z^4)/a^10 + 
   (29*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39374] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^8 + (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39375] -> -3 - a^(-4) + 4/a^2 + a^4 - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39376] -> -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   17*z^2 - z^2/a^4 + (5*z^2)/a^2 + 23*a^2*z^2 - 17*a^4*z^2 + 4*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (6*z^4)/a^2 + 27*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39377] -> 
  -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   17*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 18*z^4 + (5*z^4)/a^2 + 
   22*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39378] -> -3 - a^(-8) + a^(-6) - a^(-4) + 4/a^2 + 
   a^2 - 9*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39379] -> -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 
   18*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39380] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 39381] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 39382] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 
   2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 39383] -> 1 - a^2 - a^4 + 6*a^6 - 5*a^8 + a^10 + 
   3*a^2*z^2 - 10*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 18*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39384] -> -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 
   5*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   (3*z^4)/a^4 + a^2*z^4 + 6*a^4*z^4 - z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 39385] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39386] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 9*z^2 + z^2/a^2 + 24*a^2*z^2 - 
   24*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 27*a^2*z^4 - 
   25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39387] -> 1 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39388] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39389] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - 
   a^4 - 3*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 39390] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (17*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39391] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 15*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39392] -> 2*a^2 - a^4 - 6*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 39393] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 + z^4/a^2 - 6*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 
   4*z^6 + z^6/a^2 - a^2*z^6 + 9*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39394] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - z^4 + 2*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39395] -> 1 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39396] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39397] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   8*z^4 + z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 39398] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39399] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   4*a^2*z^2 - 13*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 19*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39400] -> -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 
   2*a^2 - 14*z^2 - z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 + (6*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39401] -> 2 - 2*a^2 + a^4 + 5*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - z^4/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + z^6/a^4 - z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 39402] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 - z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 11*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39403] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39404] -> 1 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39405] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 
   7*z^2 + z^2/a^4 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39406] -> -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 
   12*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39407] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   (12*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39408] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 39409] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 - 7*z^4 + z^4/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 39410] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - z^2/a^10 + (8*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - (10*z^4)/a^6 - 
   (12*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (20*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 39411] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39412] -> -1 + 5*a^2 - 4*a^4 + a^6 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39413] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - 
   a^4 - 16*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39414] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 15*z^2 + (2*z^2)/a^2 + 29*a^2*z^2 - 
   12*a^4*z^2 - 17*z^4 + (3*z^4)/a^2 + 29*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 15*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39415] -> 
  4 - 2/a^2 - a^4 + 9*z^2 + z^2/a^4 - (6*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + 8*z^4 + z^4/a^4 - (5*z^4)/a^2 + 5*a^4*z^4 - 2*a^6*z^4 + 
   3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 39416] -> -3 + 8*a^2 - 4*a^4 - 10*z^2 + 
   z^2/a^2 + 18*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   16*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39417] -> 
  -2 + 5*a^2 - a^4 - a^6 - 2*z^2 - 2*a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 + 
   3*z^4 - 25*a^2*z^4 + 54*a^4*z^4 - 21*a^6*z^4 + 4*z^6 - 29*a^2*z^6 + 
   61*a^4*z^6 - 18*a^6*z^6 + z^8 - 13*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 39418] -> 2 - a^(-2) + a^4 - a^6 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + z^4/a^2 + 2*a^2*z^4 + 
   20*a^4*z^4 - 9*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39419] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   9*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 + 
   10*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39420] -> 2*a^2 - 2*a^4 + 4*a^6 - 6*a^8 + 4*a^10 - 
   a^12 + 3*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 - 7*a^4*z^4 + 15*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + a^2*z^6 - 
   5*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 3*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 39421] -> 1 - 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39422] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39423] -> 2 - a^(-4) + a^(-2) - a^2 - z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39424] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (18*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 39425] -> a^(-8) - 4/a^6 + 4/a^4 + z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39426] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + z^4/a^2 - a^2*z^4 + 
   17*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39427] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39428] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + z^2 - 2*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 - z^4 + 2*a^2*z^4 - 8*a^4*z^4 + 15*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39429] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39430] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 - z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - (14*z^4)/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 39431] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39432] -> -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 39433] -> a^(-4) - a^(-2) + a^2 - 7*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39434] -> a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 6*a^2*z^4 - 9*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39435] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39436] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39437] -> -a^(-4) + 2/a^2 - 2*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 6*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + z^6/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39438] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 
   8*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 
   15*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39439] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 
   18*z^2 + (6*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 39440] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + z^4 - (3*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39441] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39442] -> 
  3 - a^(-2) - a^2 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 39443] -> -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 13*z^2 + 
   (2*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 + z^4/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39444] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 2*z^2 + 12*a^2*z^2 - 21*a^4*z^2 + 
   17*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 25*a^4*z^4 + 
   19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39445] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39446] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39447] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 + (5*z^4)/a^6 - 
   (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39448] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39449] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   z^4/a^6 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 39450] -> 
  a^(-2) - a^2 + a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39451] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39452] -> 
  2 + a^(-4) - 2/a^2 - z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 39453] -> 2 + a^(-4) - 2/a^2 - a^2 + 
   2*a^4 - a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   2*z^4 - z^4/a^4 + z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 5*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39454] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 39455] -> -1 + a^(-2) + a^2 - 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39456] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 8*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (20*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + (6*z^4)/a^6 - 
   (21*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39457] -> 
  -a^(-4) + 2/a^2 + 5*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + 2*z^6 - z^6/a^6 + z^6/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 39458] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 18*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39459] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 9*z^2 + z^2/a^2 + 16*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 39460] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 39461] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   8*z^2 + z^2/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 5*z^4 + 
   z^4/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 39462] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 7*z^2 + z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 39463] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39464] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   10*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 16*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39465] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (16*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39466] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39467] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39468] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 19*a^4*z^4 + 17*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39469] -> -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 25*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39470] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (17*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39471] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + 
   6*a^2*z^2 - 14*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 7*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 + 5*a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 13*a^4*z^6 - 
   a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39472] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 + a^2*z^4 - 13*a^4*z^4 + 
   13*a^6*z^4 - 2*a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 4*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39473] -> 
  5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 16*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 
   3*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 39474] -> -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 
   4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - 8*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39475] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39476] -> 
  4 - a^(-4) - 2*a^2 + 8*z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39477] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^6 + z^2/a^4 + z^2/a^2 - 2*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39478] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (15*z^2)/a^6 - (23*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39479] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 24*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 21*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39480] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39481] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39482] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 18*z^4 + (5*z^4)/a^2 + 23*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 39483] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 12*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39484] -> -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39485] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (18*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39486] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   9*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39487] -> 
  4*a^6 - 3*a^8 + 12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 - a^4*z^4 + 
   13*a^6*z^4 - 9*a^8*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 39488] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 15*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   10*a^2*z^4 - 22*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 39489] -> 
  2*a^2 - 5*a^4 + 9*a^6 - 6*a^8 + a^10 + 7*a^2*z^2 - 19*a^4*z^2 + 
   24*a^6*z^2 - 8*a^8*z^2 + 9*a^2*z^4 - 26*a^4*z^4 + 18*a^6*z^4 + 2*a^8*z^4 - 
   2*a^10*z^4 + 5*a^2*z^6 - 17*a^4*z^6 + 2*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39490] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + a^4 - 4*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39491] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39492] -> -a^(-4) + 2/a^2 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (2*z^4)/a^4 + 12*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39493] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 15*z^4 + z^4/a^4 + 
   (6*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39494] -> 
  2*a^2 - a^4 + 3*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + 2*a^2*z^4 - 11*a^4*z^4 + 17*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 39495] -> 
  1 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39496] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39497] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   z^4 + z^4/a^4 - (6*z^4)/a^2 + a^2*z^4 - 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39498] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39499] -> a^(-10) - 3/a^8 + 4/a^6 - 2/a^4 + a^2 - 
   z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39500] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + z^4 + 3*a^2*z^4 - 15*a^4*z^4 + 
   11*a^6*z^4 - a^10*z^4 + z^6 - 9*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39501] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + 3*z^4 - 6*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 
   z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 39502] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   3*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + 3*a^2*z^4 - 
   7*a^4*z^4 - 2*a^6*z^4 + 6*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39503] -> 
  1 - a^6 + 2*a^8 - a^10 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 + z^4 - 4*a^2*z^4 + 4*a^4*z^4 - 7*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39504] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + z^2/a^8 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   3*z^4 + (4*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39505] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39506] -> 3 - a^(-2) - a^2 + 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39507] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   8*z^2 + (2*z^2)/a^4 + 7*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39508] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   3*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39509] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 - 2*z^4 + z^4/a^8 - z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39510] -> 2*a^2 - a^4 + 11*z^2 - 
   (3*z^2)/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 34*z^4 - (7*z^4)/a^2 - 46*a^2*z^4 + 
   17*a^4*z^4 + 34*z^6 - (5*z^6)/a^2 - 56*a^2*z^6 + 17*a^4*z^6 + 14*z^8 - 
   z^8/a^2 - 32*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 39511] -> -1 + 3*a^2 - a^6 - 6*a^2*z^2 + 
   17*a^4*z^2 - 8*a^6*z^2 + 6*z^4 - 30*a^2*z^4 + 50*a^4*z^4 - 18*a^6*z^4 + 
   5*z^6 - 33*a^2*z^6 + 57*a^4*z^6 - 17*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   32*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 39512] -> -2 + 6*a^2 - 3*a^4 - 6*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 + 10*z^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 + 
   22*z^6 - (4*z^6)/a^2 - 31*a^2*z^6 + 11*a^4*z^6 + 12*z^8 - z^8/a^2 - 
   24*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 39513] -> 2 + a^(-4) - 2/a^2 + 11*z^2 - (4*z^2)/a^6 + 
   (19*z^2)/a^4 - (27*z^2)/a^2 + 21*z^4 - (8*z^4)/a^6 + (41*z^4)/a^4 - 
   (61*z^4)/a^2 + 18*z^6 - (5*z^6)/a^6 + (36*z^6)/a^4 - (62*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 39514] -> 
  4 - a^(-4) - 2*a^2 + 28*z^2 + (4*z^2)/a^4 - (18*z^2)/a^2 - 11*a^2*z^2 + 
   61*z^4 + (8*z^4)/a^4 - (41*z^4)/a^2 - 21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - 
   (36*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 39515] -> 
  2*a^2 - a^4 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 18*z^4 - 
   (4*z^4)/a^2 - 23*a^2*z^4 + 9*a^4*z^4 + 24*z^6 - (4*z^6)/a^2 - 37*a^2*z^6 + 
   12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 
   8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39516] -> 
  1 + 5*z^2 - z^2/a^4 + z^2/a^2 - 9*a^2*z^2 + 4*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 18*a^2*z^4 + 8*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39517] -> 
  a^2 + a^4 - a^6 - z^2 - 2*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 19*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39518] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39519] -> 
  -2 - 3/a^4 + 6/a^2 - z^2 - z^2/a^4 + (5*z^2)/a^2 + 8*z^4 - (4*z^4)/a^6 + 
   (16*z^4)/a^4 - (19*z^4)/a^2 + 12*z^6 - (4*z^6)/a^6 + (24*z^6)/a^4 - 
   (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (25*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 39520] -> 
  -2 + 6*a^2 - 3*a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 17*z^4 - 
   (4*z^4)/a^2 - 18*a^2*z^4 + 8*a^4*z^4 + 24*z^6 - (4*z^6)/a^2 - 36*a^2*z^6 + 
   12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 
   8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39521] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 4*z^4 + z^4/a^4 + 17*z^6 + (3*z^6)/a^4 - (14*z^6)/a^2 - 
   7*a^2*z^6 + 18*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 39522] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 
   3*z^4 - z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 8*z^6 - (3*z^6)/a^6 + 
   (15*z^6)/a^4 - (22*z^6)/a^2 + 5*z^8 - z^8/a^6 + (10*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39523] -> 2/a^8 - 6/a^6 + 5/a^4 - (3*z^2)/a^10 + 
   (18*z^2)/a^8 - (30*z^2)/a^6 + (16*z^2)/a^4 - (7*z^4)/a^10 + (39*z^4)/a^8 - 
   (63*z^4)/a^6 + (23*z^4)/a^4 - (5*z^6)/a^10 + (35*z^6)/a^8 - (63*z^6)/a^6 + 
   (18*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 39524] -> -a^(-8) - 3/a^6 + 8/a^4 - 3/a^2 + 
   (2*z^2)/a^8 - (17*z^2)/a^6 + (35*z^2)/a^4 - (13*z^2)/a^2 + (7*z^4)/a^8 - 
   (38*z^4)/a^6 + (65*z^4)/a^4 - (22*z^4)/a^2 + (5*z^6)/a^8 - (35*z^6)/a^6 + 
   (63*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (33*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39525] -> 2 + a^(-4) - 2/a^2 + 7*z^2 + (7*z^2)/a^4 - 
   (15*z^2)/a^2 + 13*z^4 - (4*z^4)/a^6 + (21*z^4)/a^4 - (37*z^4)/a^2 + 
   13*z^6 - (4*z^6)/a^6 + (25*z^6)/a^4 - (43*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 39526] -> a^(-8) - 2/a^6 + 2/a^2 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (11*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (17*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39527] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (17*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39528] -> 2*a^2 - a^4 - z^2 + z^2/a^2 + a^4*z^2 + 
   14*z^4 - (3*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 + 23*z^6 - (4*z^6)/a^2 - 
   37*a^2*z^6 + 12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39529] -> 
  1 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - 
   z^4/a^4 + z^4/a^2 - 12*a^2*z^4 + 5*a^4*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 39530] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 20*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (18*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 29*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (24*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39531] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   8*z^2 - z^2/a^8 + (7*z^2)/a^6 - (18*z^2)/a^4 + (20*z^2)/a^2 + a^2*z^2 - 
   13*z^4 - z^4/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (29*z^4)/a^2 + 2*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39532] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 19*z^2 + z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 29*z^4 + z^4/a^6 - (8*z^4)/a^4 + (24*z^4)/a^2 + 
   13*a^2*z^4 - 2*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39533] -> -2 - 3/a^4 + 6/a^2 - 10*z^2 + (4*z^2)/a^6 - 
   (16*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 14*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (22*z^4)/a^4 + (32*z^4)/a^2 + 2*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39534] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + (5*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + 
   6*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (14*z^4)/a^2 + 5*z^6 - (10*z^6)/a^6 + 
   (27*z^6)/a^4 - (26*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (23*z^8)/a^4 - 
   (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39535] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 + 15*z^4 - (5*z^4)/a^2 - 20*a^2*z^4 + 
   7*a^4*z^4 + 32*z^6 - (11*z^6)/a^2 - 28*a^2*z^6 + 5*a^4*z^6 + 24*z^8 - 
   (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 39536] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 
   2*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + 7*z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 - (21*z^4)/a^2 + 5*z^6 - (11*z^6)/a^6 + (32*z^6)/a^4 - 
   (28*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (24*z^8)/a^4 - (13*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39537] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 + z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   17*z^6 + (6*z^6)/a^4 - (14*z^6)/a^2 - 4*a^2*z^6 + 11*z^8 + (5*z^8)/a^4 - 
   (17*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39538] -> -5 + 3/a^2 + 3*a^2 - 21*z^2 - (6*z^2)/a^4 + 
   (17*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 25*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (28*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39539] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 
   2*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39540] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + a^2*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 6*a^2*z^4 + 18*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - 
   11*a^2*z^6 + 33*a^4*z^6 - 27*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   24*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 39541] -> -3 + a^(-2) + 5*a^2 - 2*a^4 + 
   4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 27*z^4 - (9*z^4)/a^2 - 
   24*a^2*z^4 + 7*a^4*z^4 + 38*z^6 - (12*z^6)/a^2 - 29*a^2*z^6 + 5*a^4*z^6 + 
   25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 39542] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 8*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + z^4 - 
   3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 7*z^6 - 19*a^2*z^6 + 18*a^4*z^6 - 
   4*a^6*z^6 + 5*z^8 - 18*a^2*z^8 + 11*a^4*z^8 - a^6*z^8 + z^10 - 
   7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39543] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + a^2*z^2 + 2*a^4*z^2 + a^8*z^2 - 2*z^4 + 
   2*a^2*z^4 + 5*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 
   6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39544] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 6*z^4 - 
   (6*z^4)/a^6 + (17*z^4)/a^4 - (18*z^4)/a^2 + 5*z^6 - (11*z^6)/a^6 + 
   (33*z^6)/a^4 - (27*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (24*z^8)/a^4 - 
   (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39545] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 + 4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   18*z^6 + (7*z^6)/a^4 - (19*z^6)/a^2 - 4*a^2*z^6 + 11*z^8 + (5*z^8)/a^4 - 
   (18*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39546] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^2 - 
   3*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39547] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + 
   a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + 7*z^6 - 18*a^2*z^6 + 18*a^4*z^6 - 
   4*a^6*z^6 + 5*z^8 - 18*a^2*z^8 + 11*a^4*z^8 - a^6*z^8 + z^10 - 
   7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39548] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39549] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + 20*a^2*z^2 - 20*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 24*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39550] -> 
  -a^(-10) + 7/a^8 - 13/a^6 + 8/a^4 - (11*z^2)/a^10 + (43*z^2)/a^8 - 
   (57*z^2)/a^6 + (24*z^2)/a^4 - (25*z^4)/a^10 + (82*z^4)/a^8 - 
   (87*z^4)/a^6 + (22*z^4)/a^4 - (22*z^6)/a^10 + (77*z^6)/a^8 - 
   (59*z^6)/a^6 + (8*z^6)/a^4 - (8*z^8)/a^10 + (39*z^8)/a^8 - (18*z^8)/a^6 + 
   z^8/a^4 - z^10/a^10 + (10*z^10)/a^8 - (2*z^10)/a^6 + z^12/a^8, 
 Knot[15, Alternating, 39551] -> a^(-8) - 4/a^4 + 4/a^2 - (4*z^2)/a^10 + 
   (10*z^2)/a^8 - (18*z^2)/a^4 + (10*z^2)/a^2 - (10*z^4)/a^10 + 
   (19*z^4)/a^8 + (4*z^4)/a^6 - (26*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^10 + 
   (17*z^6)/a^8 + (10*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (7*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39552] -> 5 - a^(-6) + 6/a^4 - 9/a^2 + 11*z^2 - 
   (8*z^2)/a^6 + (28*z^2)/a^4 - (34*z^2)/a^2 + 12*z^4 - (18*z^4)/a^6 + 
   (56*z^4)/a^4 - (53*z^4)/a^2 + 6*z^6 - (17*z^6)/a^6 + (58*z^6)/a^4 - 
   (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (32*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39553] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (7*z^4)/a^4 + (15*z^4)/a^2 - 
   13*a^2*z^4 + 4*a^4*z^4 + 6*z^6 - (5*z^6)/a^4 + (13*z^6)/a^2 - 10*a^2*z^6 + 
   a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 39554] -> -a^(-10) + 6/a^8 - 9/a^6 + 3/a^4 + 2/a^2 - 
   (7*z^2)/a^10 + (22*z^2)/a^8 - (19*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (11*z^4)/a^10 + (28*z^4)/a^8 - (11*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^10 + (19*z^6)/a^8 + (4*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39555] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 3*z^2 - 
   (3*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 - z^2/a^2 + z^4 - 
   (4*z^4)/a^10 + (5*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39556] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (6*z^4)/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39557] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 24*z^2 - 
   (7*z^2)/a^2 - 27*a^2*z^2 + 9*a^4*z^2 + 53*z^4 - (17*z^4)/a^2 - 
   50*a^2*z^4 + 12*a^4*z^4 + 57*z^6 - (17*z^6)/a^2 - 41*a^2*z^6 + 6*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 39558] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 13*z^2 - z^2/a^4 - (2*z^2)/a^2 - 17*a^2*z^2 + 
   5*a^4*z^2 + 14*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - 18*a^2*z^4 + 4*a^4*z^4 + 
   10*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 39559] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 12*a^2*z^2 - 
   7*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + 17*a^2*z^4 - a^4*z^4 - 
   15*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 7*a^4*z^6 - 10*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39560] -> 2/a^6 - 5/a^4 + 4/a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (10*z^4)/a^6 - (24*z^4)/a^4 + (25*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39561] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (14*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (8*z^4)/a^6 + (20*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39562] -> -2 + 2/a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39563] -> -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (14*z^2)/a^8 - (7*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   (8*z^4)/a^10 + (18*z^4)/a^8 - (20*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + 
   (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39564] -> 2 + a^(-8) - 2/a^4 + 3*z^2 - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39565] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - z^4 - z^4/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 39566] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39567] -> -a^2 + 4*a^4 - a^6 - a^8 - 8*a^2*z^2 + 
   27*a^4*z^2 - 20*a^6*z^2 + 6*a^8*z^2 - 18*a^2*z^4 + 56*a^4*z^4 - 
   46*a^6*z^4 + 11*a^8*z^4 - 17*a^2*z^6 + 58*a^4*z^6 - 40*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 39568] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - 11*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 7*a^2*z^4 + 12*a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39569] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 2*z^2 + 
   2*a^2*z^2 + 10*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 
   7*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 6*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 39570] -> 4*a^6 - 3*a^8 - 3*a^4*z^2 + 
   16*a^6*z^2 - 4*a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 7*a^4*z^4 + 
   20*a^6*z^4 + 2*a^8*z^4 - 14*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 
   14*a^6*z^6 + 7*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 39571] -> -5 + 3/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 23*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 27*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39572] -> 
  a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 
   3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 - 2*a^8*z^4 - 
   5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 39573] -> 2/a^6 - 5/a^4 + 4/a^2 - 9*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (23*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39574] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - (6*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 - (18*z^4)/a^4 + 
   (5*z^4)/a^2 - (5*z^6)/a^10 + (12*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 39575] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 
   32*z^2 + (9*z^2)/a^4 - (30*z^2)/a^2 - 10*a^2*z^2 + 52*z^4 + (18*z^4)/a^4 - 
   (57*z^4)/a^2 - 12*a^2*z^4 + 41*z^6 + (17*z^6)/a^4 - (58*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 39576] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 - (7*z^4)/a^6 + (12*z^4)/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39577] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 7*z^2 - 
   24*a^2*z^2 + 27*a^4*z^2 - 9*a^6*z^2 + 17*z^4 - 53*a^2*z^4 + 50*a^4*z^4 - 
   12*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 41*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   32*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 39578] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 
   3*z^2 - 13*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + (4*z^4)/a^2 - 
   13*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 39579] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39580] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 9*z^2 + (5*z^2)/a^4 - (15*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (8*z^4)/a^4 - (20*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39581] -> 3*a^2 - 3*a^4 + a^6 + 4*z^2 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 13*z^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 39582] -> 1 + a^2 - 2*a^4 + a^6 + 5*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39583] -> 2*a^4 - a^6 + a^8 - a^10 + 11*a^4*z^2 - 
   21*a^6*z^2 + 22*a^8*z^2 - 7*a^10*z^2 + 19*a^4*z^4 - 54*a^6*z^4 + 
   47*a^8*z^4 - 11*a^10*z^4 + 17*a^4*z^6 - 58*a^6*z^6 + 40*a^8*z^6 - 
   6*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 39584] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 3*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 
   12*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 12*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 10*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39585] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 
   9*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 6*a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39586] -> -5 + 3/a^2 + 3*a^2 - 21*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39587] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39588] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   7*z^2 - z^2/a^6 + (8*z^2)/a^4 - (15*z^2)/a^2 + 11*z^4 - (13*z^4)/a^6 + 
   (38*z^4)/a^4 - (42*z^4)/a^2 + 6*z^6 - (16*z^6)/a^6 + (51*z^6)/a^4 - 
   (39*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (31*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39589] -> -a^(-4) + 2/a^2 + (4*z^2)/a^8 - 
   (12*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 + (14*z^4)/a^8 - (42*z^4)/a^6 + 
   (38*z^4)/a^4 - (10*z^4)/a^2 + (16*z^6)/a^8 - (52*z^6)/a^6 + (38*z^6)/a^4 - 
   (6*z^6)/a^2 + (7*z^8)/a^8 - (31*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + 
   z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 39590] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 20*z^2 - 
   (6*z^2)/a^2 - 26*a^2*z^2 + 9*a^4*z^2 + 52*z^4 - (17*z^4)/a^2 - 
   50*a^2*z^4 + 12*a^4*z^4 + 57*z^6 - (17*z^6)/a^2 - 41*a^2*z^6 + 6*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 39591] -> 
  3 - a^(-2) - a^2 + 25*z^2 + (6*z^2)/a^4 - (21*z^2)/a^2 - 9*a^2*z^2 + 
   50*z^4 + (17*z^4)/a^4 - (52*z^4)/a^2 - 12*a^2*z^4 + 41*z^6 + 
   (17*z^6)/a^4 - (57*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39592] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^2 + 7*z^4 - (6*z^4)/a^6 + (18*z^4)/a^4 - 
   (23*z^4)/a^2 + 5*z^6 - (11*z^6)/a^6 + (33*z^6)/a^4 - (28*z^6)/a^2 + z^8 - 
   (6*z^8)/a^6 + (24*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - 
   (2*z^10)/a^2 + z^12/a^4, Knot[15, Alternating, 39593] -> 
  2 + a^(-6) - a^(-4) - a^(-2) - (2*z^2)/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 - 8*z^4 - (7*z^4)/a^6 + (16*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39594] -> 1 - z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 - 3*z^4 + (7*z^4)/a^8 - (17*z^4)/a^6 + (6*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (14*z^6)/a^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39595] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 4*z^2 + z^2/a^6 - (5*z^2)/a^2 - 3*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39596] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 7*a^2*z^4 + 4*a^4*z^4 + 18*z^6 - 
   (7*z^6)/a^2 - 19*a^2*z^6 + 4*a^4*z^6 + 18*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + 
   a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 39597] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 5*a^2*z^2 + 
   23*a^4*z^2 - 29*a^6*z^2 + 10*a^8*z^2 - 17*a^2*z^4 + 52*a^4*z^4 - 
   51*a^6*z^4 + 12*a^8*z^4 - 17*a^2*z^6 + 57*a^4*z^6 - 41*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 39598] -> 
  -2*a^2 + 7*a^4 - 4*a^6 + 6*z^2 - 21*a^2*z^2 + 30*a^4*z^2 - 10*a^6*z^2 + 
   17*z^4 - 52*a^2*z^4 + 51*a^4*z^4 - 12*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 
   41*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 32*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39599] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 
   28*z^4 - (9*z^4)/a^2 - 30*a^2*z^4 + 8*a^4*z^4 + 38*z^6 - (12*z^6)/a^2 - 
   30*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 39600] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 - 2*z^2 + 4*a^2*z^2 + 4*a^4*z^2 - 13*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 7*a^2*z^4 + 10*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39601] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (5*z^4)/a^2 - 
   10*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 39602] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 7*z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 - (22*z^4)/a^2 + 5*z^6 - (11*z^6)/a^6 + (32*z^6)/a^4 - 
   (28*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (24*z^8)/a^4 - (13*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39603] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 - 2*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39604] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   20*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 
   26*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39605] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 - (3*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - 
   (16*z^4)/a^6 + (3*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (8*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39606] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 39607] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (5*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39608] -> -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + (4*z^4)/a^4 - 
   (15*z^4)/a^2 + 18*a^2*z^4 - 8*a^4*z^4 + 7*z^6 + z^6/a^4 - (10*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 39609] -> 
  a^(-4) - a^(-2) + a^2 + 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 39610] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (9*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39611] -> -a^(-8) + 2/a^4 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39612] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - 
   13*a^2*z^2 + 50*a^4*z^2 - 54*a^6*z^2 + 18*a^8*z^2 - 16*a^2*z^4 + 
   76*a^4*z^4 - 94*a^6*z^4 + 30*a^8*z^4 - 7*a^2*z^6 + 53*a^4*z^6 - 
   83*a^6*z^6 + 23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 40*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 39613] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 61*z^2 + 
   (9*z^2)/a^4 - (42*z^2)/a^2 - 23*a^2*z^2 + 103*z^4 + (12*z^4)/a^4 - 
   (67*z^4)/a^2 - 34*a^2*z^4 + 88*z^6 + (6*z^6)/a^4 - (48*z^6)/a^2 - 
   24*a^2*z^6 + 41*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 39614] -> 
  -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - 6*z^2 + 18*a^2*z^2 - 8*a^4*z^2 - 
   11*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 23*a^2*z^4 - 12*a^4*z^4 - 22*a^6*z^4 + 
   11*a^8*z^4 - z^6 + 12*a^2*z^6 - 12*a^4*z^6 - 18*a^6*z^6 + 6*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39615] -> -a^(-2) + 5*a^2 - 3*a^4 + 2*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 10*z^4 + 
   (4*z^4)/a^4 - (18*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + 12*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 39616] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 4*z^2 + 8*a^2*z^2 + 7*a^4*z^2 - 17*a^6*z^2 + 
   7*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 2*a^4*z^4 - 21*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39617] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 5*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 13*a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   8*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 39618] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 27*z^2 - 
   (6*z^2)/a^2 - 35*a^2*z^2 + 13*a^4*z^2 + 44*z^4 - (8*z^4)/a^2 - 
   65*a^2*z^4 + 22*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 63*a^2*z^6 + 18*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39619] -> 
  2 - a^(-4) + a^(-2) - a^2 + 22*z^2 + (3*z^2)/a^4 - (14*z^2)/a^2 - 
   9*a^2*z^2 + 57*z^4 + (8*z^4)/a^4 - (39*z^4)/a^2 - 20*a^2*z^4 + 61*z^6 + 
   (5*z^6)/a^4 - (36*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 39620] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 + 8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 13*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 39621] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (15*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (6*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39622] -> -3 - 2/a^4 + 5/a^2 + a^2 - 16*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   25*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39623] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39624] -> 6*a^4 - 8*a^6 + 3*a^8 - 4*z^2 + 7*a^2*z^2 + 
   12*a^4*z^2 - 25*a^6*z^2 + 10*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 4*a^4*z^4 - 
   31*a^6*z^4 + 12*a^8*z^4 - z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 20*a^6*z^6 + 
   6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 39625] -> 9 - 4/a^2 - 4*a^2 + 27*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 - (7*z^2)/a^2 - 12*a^2*z^2 + 33*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 - 13*a^2*z^4 + 21*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 39626] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - z^4/a^2 + 5*a^2*z^4 - 11*a^4*z^4 - 
   6*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 8*a^4*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39627] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 7*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 12*z^4 + z^4/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 39628] -> 
  2*a^2 - 2*a^6 + a^8 - 4*z^2 + 10*a^2*z^2 - a^4*z^2 - 10*a^6*z^2 + 
   5*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 5*a^4*z^4 - 17*a^6*z^4 + 8*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39629] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 9*a^4*z^4 - 3*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 39630] -> 4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   13*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39631] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 39632] -> -2 + 6*a^2 - 3*a^4 - 9*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 + a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 39633] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   11*z^2 - (5*z^2)/a^6 + (23*z^2)/a^4 - (28*z^2)/a^2 + 21*z^4 - 
   (8*z^4)/a^6 + (42*z^4)/a^4 - (61*z^4)/a^2 + 18*z^6 - (5*z^6)/a^6 + 
   (36*z^6)/a^4 - (62*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39634] -> -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 + 
   (3*z^2)/a^8 - (19*z^2)/a^6 + (35*z^2)/a^4 - (13*z^2)/a^2 + (8*z^4)/a^8 - 
   (43*z^4)/a^6 + (70*z^4)/a^4 - (24*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + 
   (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39635] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 4*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (12*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39636] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 3*z^2 - 
   (3*z^2)/a^6 + (15*z^2)/a^4 - (17*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^4 - (19*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39637] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + z^2/a^12 - (6*z^2)/a^10 + z^2/a^8 + 
   (17*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (12*z^4)/a^10 + (8*z^4)/a^8 + 
   (22*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (9*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 39638] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (19*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (24*z^4)/a^6 - (25*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39639] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (5*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39640] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - 
   (4*z^2)/a^10 + z^2/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39641] -> 
  -3/a^8 + 4/a^6 - (5*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39642] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 21*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39643] -> -4 + 2/a^2 + 4*a^2 - a^4 - 21*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 26*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (27*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39644] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 18*z^2 - z^2/a^4 + (7*z^2)/a^2 + 20*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 28*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 25*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 19*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39645] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39646] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 3*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 39647] -> -4 + 2/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39648] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   6*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 39649] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 
   4*z^4 + 10*a^2*z^4 - 10*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 
   10*a^2*z^6 - a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39650] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - z^4 + z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 - a^2*z^6 + 6*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39651] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   16*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 26*a^4*z^4 + 
   23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39652] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 5*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 39653] -> 6 - a^(-6) + 7/a^4 - 11/a^2 + 17*z^2 - 
   (12*z^2)/a^6 + (42*z^2)/a^4 - (51*z^2)/a^2 + 17*z^4 - (28*z^4)/a^6 + 
   (85*z^4)/a^4 - (79*z^4)/a^2 + 7*z^6 - (23*z^6)/a^6 + (81*z^6)/a^4 - 
   (54*z^6)/a^2 + z^8 - (8*z^8)/a^6 + (40*z^8)/a^4 - (17*z^8)/a^2 - 
   z^10/a^6 + (10*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39654] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 - (4*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^10 + (15*z^4)/a^8 - z^4/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39655] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 16*z^2 - 
   (6*z^2)/a^6 + (13*z^2)/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - 
   (11*z^4)/a^6 + (22*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^6 + (18*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39656] -> 2 + a^(-6) - a^(-4) - a^(-2) - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (7*z^4)/a^6 + 
   (16*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + 
   (14*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39657] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 30*z^2 - (9*z^2)/a^2 - 34*a^2*z^2 + 
   11*a^4*z^2 + 62*z^4 - (20*z^4)/a^2 - 57*a^2*z^4 + 13*a^4*z^4 + 62*z^6 - 
   (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 39658] -> 2*a^2 - a^4 - 2*z^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 7*z^4 + 13*a^2*z^4 + a^4*z^4 - 
   15*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 13*a^2*z^6 + 7*a^4*z^6 - 10*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39659] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 8*a^2*z^2 - 
   7*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - z^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 39660] -> 
  1 - a^(-6) + 6/a^4 - 7/a^2 + 2*a^2 - 7*z^2 - (8*z^2)/a^6 + (22*z^2)/a^4 - 
   (17*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (12*z^4)/a^6 + (29*z^4)/a^4 - 
   (7*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (6*z^6)/a^6 + (20*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (7*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39661] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39662] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 10*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 39663] -> 
  3 + a^(-6) - 3/a^2 - 2*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39664] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39665] -> 
  -a^2 + 5*a^4 - 3*a^6 - 8*a^2*z^2 + 29*a^4*z^2 - 25*a^6*z^2 + 8*a^8*z^2 - 
   20*a^2*z^4 + 61*a^4*z^4 - 52*a^6*z^4 + 12*a^8*z^4 - 18*a^2*z^6 + 
   62*a^4*z^6 - 42*a^6*z^6 + 6*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 
   15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 39666] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - z^2 - a^2*z^2 + 
   15*a^4*z^2 - 15*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 5*a^2*z^4 + 15*a^4*z^4 - 
   19*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 11*a^4*z^6 - 10*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39667] -> 3*a^6 - a^8 - a^10 - 2*a^4*z^2 + 
   13*a^6*z^2 + a^8*z^2 - 9*a^10*z^2 + 4*a^12*z^2 - 7*a^4*z^4 + 18*a^6*z^4 + 
   5*a^8*z^4 - 16*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 
   8*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 39668] -> 
  4*a^6 - 3*a^8 + 12*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 39669] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   20*z^2 + z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   28*z^4 + z^4/a^6 - (8*z^4)/a^4 + (22*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 
   18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39670] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (14*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39671] -> 4*a^2 - 5*a^4 + 2*a^6 - 16*z^2 + 
   (4*z^2)/a^2 + 22*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 30*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 24*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (4*z^6)/a^4 + 
   (14*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39672] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + (7*z^4)/a^8 - 
   (13*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (13*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39673] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 
   7*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 
   11*a^4*z^4 - 3*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39674] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   22*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   16*z^6 - z^6/a^4 + (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 39675] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39676] -> 1 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39677] -> 5*a^6 - 5*a^8 + a^10 + 7*a^2*z^2 - 
   16*a^4*z^2 + 22*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 
   31*a^4*z^4 + 21*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 15*a^2*z^6 - 19*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39678] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (7*z^4)/a^4 - 
   (12*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39679] -> 
  2*a^2 - a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 39680] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   5*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 6*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39681] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - z^2 + 7*a^2*z^2 - 13*a^4*z^2 + 
   19*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 24*a^4*z^4 + 
   25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 16*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 39682] -> a^4 + 3*a^6 - 4*a^8 + a^10 - a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   10*a^6*z^4 - 5*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   6*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 39683] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 54*z^2 + 
   (15*z^2)/a^4 - (49*z^2)/a^2 - 17*a^2*z^2 + 80*z^4 + (29*z^4)/a^4 - 
   (90*z^4)/a^2 - 17*a^2*z^4 + 54*z^6 + (23*z^6)/a^4 - (82*z^6)/a^2 - 
   7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (40*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 39684] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 11*z^2 + (7*z^2)/a^6 - (17*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*a^2*z^2 + 21*z^4 + (11*z^4)/a^6 - (24*z^4)/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 - 
   (10*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (7*z^8)/a^4 - (6*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 39685] -> 
  -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (5*z^2)/a^10 + (16*z^2)/a^8 - 
   (12*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (19*z^4)/a^8 - 
   (4*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39686] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 - 
   z^2/a^10 + (8*z^2)/a^6 - (11*z^2)/a^4 - z^2/a^2 + z^4 - (3*z^4)/a^10 + 
   z^4/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39687] -> 
  1 + 20*z^2 + (4*z^2)/a^4 - (16*z^2)/a^2 - 8*a^2*z^2 + 48*z^4 + 
   (16*z^4)/a^4 - (48*z^4)/a^2 - 12*a^2*z^4 + 41*z^6 + (17*z^6)/a^4 - 
   (56*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39688] -> -1 + a^(-2) + a^2 + 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 13*z^4 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 39689] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 13*z^2 + (5*z^2)/a^2 + 7*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 - 18*z^4 + (8*z^4)/a^2 + 15*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + 
   (5*z^6)/a^2 - 7*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39690] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (24*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39691] -> 8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 15*z^2 + 
   (9*z^2)/a^4 - (24*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + 
   (12*z^4)/a^4 - (30*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (6*z^6)/a^4 - (20*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39692] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 9*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 39693] -> -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (4*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 
   (8*z^4)/a^10 + (18*z^4)/a^8 + z^4/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39694] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39695] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 5*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39696] -> -1 + a^(-2) + a^2 - z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 39697] -> 
  -a^2 + 5*a^4 - 3*a^6 + 6*z^2 - 22*a^2*z^2 + 31*a^4*z^2 - 11*a^6*z^2 + 
   19*z^4 - 57*a^2*z^4 + 56*a^4*z^4 - 13*a^6*z^4 + 18*z^6 - 61*a^2*z^6 + 
   43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39698] -> 
  3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 
   12*z^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 13*z^6 + 
   (5*z^6)/a^2 - 8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39699] -> 
  a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 5*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 + 
   6*a^8*z^2 - 4*a^10*z^2 + 8*a^2*z^4 - 17*a^4*z^4 + a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 7*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39700] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 16*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39701] -> 
  a^2 - a^4 + 2*a^6 - a^10 + z^2 + a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39702] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 
   a^8*z^2 - a^10*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 39703] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 17*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 25*z^4 + z^4/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 39704] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (16*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (23*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39705] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - (13*z^2)/a^14 + (4*z^2)/a^12 + 
   (23*z^2)/a^10 - (6*z^4)/a^16 - (10*z^4)/a^14 + (29*z^4)/a^12 + 
   (34*z^4)/a^10 - (5*z^6)/a^16 + (4*z^6)/a^14 + (33*z^6)/a^12 + 
   (24*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + (14*z^8)/a^12 + (8*z^8)/a^10 + 
   z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 39706] -> 
  -a^(-14) - a^(-10) + 3/a^8 - (3*z^2)/a^16 - z^2/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 + (10*z^2)/a^8 - (4*z^4)/a^16 + (3*z^4)/a^14 + 
   (10*z^4)/a^12 + (14*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + 
   (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 39707] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 - 
   (9*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 - (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39708] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - z^2/a^16 - (7*z^2)/a^14 + 
   (3*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - (3*z^4)/a^14 + 
   (13*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 39709] -> 
  -a^(-14) + a^(-8) + a^(-6) - (2*z^2)/a^16 - z^2/a^14 + (2*z^2)/a^12 + 
   (4*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + z^4/a^14 + 
   (6*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 39710] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (8*z^4)/a^6 + (15*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39711] -> a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 39712] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + 
   a^2*z^2 - a^4*z^2 + (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39713] -> 2 + a^(-4) - 2/a^2 - 3*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 39714] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (3*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39715] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39716] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39717] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   16*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 21*z^4 - z^4/a^4 + (10*z^4)/a^2 + 
   24*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39718] -> -2 + 5*a^2 - a^4 - a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 + 15*a^4*z^4 - 8*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39719] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 37*z^2 + (5*z^2)/a^4 - (25*z^2)/a^2 - 
   14*a^2*z^2 + 66*z^4 + (8*z^4)/a^4 - (43*z^4)/a^2 - 22*a^2*z^4 + 63*z^6 + 
   (5*z^6)/a^4 - (36*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 39720] -> 1 + 16*z^2 - (4*z^2)/a^2 - 20*a^2*z^2 + 
   8*a^4*z^2 + 40*z^4 - (8*z^4)/a^2 - 56*a^2*z^4 + 20*a^4*z^4 + 36*z^6 - 
   (5*z^6)/a^2 - 61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 39721] -> -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 
   15*a^2*z^4 + 8*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 14*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39722] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 4*z^2 + 
   11*a^2*z^2 - a^4*z^2 - 14*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 
   7*a^4*z^4 - 20*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39723] -> 
  1 + a^2 - a^4 - a^6 + a^8 + 3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 3*a^2*z^4 - 10*a^4*z^4 - 
   4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39724] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 14*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 39725] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 14*a^2*z^4 + 8*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39726] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 15*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (21*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39727] -> 
  -3/a^4 + 5/a^2 - a^2 + 5*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 
   5*a^2*z^2 + 15*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - 
   8*a^2*z^4 + 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 39728] -> 1 - 2/a^4 + 3/a^2 - a^2 + 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39729] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (5*z^2)/a^8 - (22*z^2)/a^6 + (30*z^2)/a^4 - (10*z^2)/a^2 + (8*z^4)/a^8 - 
   (42*z^4)/a^6 + (61*z^4)/a^4 - (21*z^4)/a^2 + (5*z^6)/a^8 - (36*z^6)/a^6 + 
   (62*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (33*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39730] -> 3 + 2/a^4 - 4/a^2 + 14*z^2 - (3*z^2)/a^6 + 
   (20*z^2)/a^4 - (33*z^2)/a^2 + 24*z^4 - (8*z^4)/a^6 + (43*z^4)/a^4 - 
   (70*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (67*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 39731] -> 
  3 + a^(-6) - 3/a^2 + 8*z^2 - z^2/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - 
   (14*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 - 
   (21*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 - 
   (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 39732] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 
   3/a^2 - z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (17*z^2)/a^4 - (4*z^2)/a^2 - 
   5*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + (18*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39733] -> -3 - 2/a^4 + 5/a^2 + a^2 - 13*z^2 + 
   (4*z^2)/a^6 - (14*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (21*z^4)/a^4 + (29*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (19*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39734] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   13*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 9*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39735] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 16*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^8 + 
   (14*z^4)/a^6 - (19*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (14*z^6)/a^4 + (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39736] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 4*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39737] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + z^2 + 
   (7*z^2)/a^4 - (15*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + 
   (9*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39738] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 39739] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39740] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 39741] -> 6 + 5/a^4 - 10/a^2 + 11*z^2 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (15*z^2)/a^4 - (31*z^2)/a^2 + 6*z^4 - (10*z^4)/a^8 + 
   (14*z^4)/a^6 + (20*z^4)/a^4 - (33*z^4)/a^2 + z^6 - (6*z^6)/a^8 + 
   (16*z^6)/a^6 + (17*z^6)/a^4 - (14*z^6)/a^2 - z^8/a^8 + (7*z^8)/a^6 + 
   (7*z^8)/a^4 - (2*z^8)/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 39742] -> -3 + a^(-6) + 3*a^2 - 10*z^2 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 + (10*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 39743] -> 
  1 - z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 - 3*z^4 + (7*z^4)/a^8 - 
   (17*z^4)/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (14*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39744] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (24*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 39745] -> 4 - 6*a^2 + 3*a^4 + 6*z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 15*a^2*z^2 + 5*a^4*z^2 + 7*z^4 - (7*z^4)/a^4 + 
   (13*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 39746] -> 
  1 + 4/a^4 - 6/a^2 + 2*a^2 - 5*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (4*z^4)/a^8 + 
   (4*z^4)/a^6 + (12*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 39747] -> -2 + a^(-6) + a^2 + a^4 - 6*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 39748] -> 
  2 + a^(-4) - 2/a^2 - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 
   3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39749] -> -1 + 5*a^2 - 4*a^4 + a^6 - 14*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 25*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39750] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 39751] -> 
  3*a^4 - 2*a^6 - 2*z^2 + 4*a^2*z^2 + 6*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 - 
   7*z^4 + 12*a^2*z^4 + 6*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 
   13*a^2*z^6 + 8*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39752] -> 4*a^4 - 4*a^6 + a^8 - z^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 39753] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 39754] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - (7*z^4)/a^10 + (14*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + 
   (5*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 39755] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39756] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 33*z^2 + (9*z^2)/a^4 - (31*z^2)/a^2 - 
   11*a^2*z^2 + 57*z^4 + (20*z^4)/a^4 - (62*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (62*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39757] -> 3 + a^(-6) - 3/a^2 - 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39758] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 4*a^2*z^2 - 
   16*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39759] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 39760] -> 2 - 3*a^2 + 3*a^4 - a^6 + 9*z^2 - 
   27*a^2*z^2 + 26*a^4*z^2 - 8*a^6*z^2 + 20*z^4 - 61*a^2*z^4 + 52*a^4*z^4 - 
   12*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 39761] -> 3 - 5*a^2 + 4*a^4 - a^6 + 
   2*z^2 + z^2/a^2 - 14*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + 
   (5*z^4)/a^2 - 15*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39762] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 10*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (23*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39763] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 9*z^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - 
   (22*z^2)/a^2 + 12*z^4 - (16*z^4)/a^6 + (47*z^4)/a^4 - (49*z^4)/a^2 + 
   6*z^6 - (17*z^6)/a^6 + (56*z^6)/a^4 - (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (32*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 39764] -> a^(-6) - a^(-4) + a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (7*z^4)/a^6 + (13*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (13*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39765] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 5*z^2 + (5*z^2)/a^4 - (13*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + (6*z^4)/a^4 - (15*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39766] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 17*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 + 22*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39767] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 22*z^2 - (6*z^2)/a^2 - 31*a^2*z^2 + 
   11*a^4*z^2 + 57*z^4 - (19*z^4)/a^2 - 56*a^2*z^4 + 13*a^4*z^4 + 61*z^6 - 
   (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 39768] -> 2 + a^(-2) - 4*a^2 + a^4 + a^6 + 10*z^2 - 
   (4*z^2)/a^2 - 9*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 17*z^4 - (8*z^4)/a^2 - 
   a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 39769] -> a^(-6) - a^(-4) + a^2 - 7*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39770] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 + (10*z^2)/a^6 - z^2/a^4 + 
   z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39771] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + z^2/a^8 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39772] -> -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39773] -> -a^(-4) + 2/a^2 + 4*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 24*z^4 + (4*z^4)/a^4 - (17*z^4)/a^2 - 9*a^2*z^4 + 37*z^6 + 
   (4*z^6)/a^4 - (24*z^6)/a^2 - 12*a^2*z^6 + 25*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 39774] -> 1 + 5*z^2 - z^2/a^4 + z^2/a^2 - 9*a^2*z^2 + 
   4*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 18*a^2*z^4 + 8*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (7*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39775] -> a^2 + a^4 - a^6 - z^2 - 2*a^2*z^2 + 
   10*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - a^2*z^4 + 19*a^4*z^4 - 
   8*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39776] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39777] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + 6*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 9*a^4*z^4 - 
   5*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39778] -> -1 + 4*a^2 - 2*a^4 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 - 
   7*a^2*z^4 + 4*a^4*z^4 - z^6 - z^6/a^4 + (5*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39779] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   (6*z^2)/a^6 + (17*z^2)/a^4 - (6*z^2)/a^2 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (37*z^4)/a^4 - (13*z^4)/a^2 + (4*z^6)/a^8 - (25*z^6)/a^6 + (43*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39780] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 23*z^6 + 
   (3*z^6)/a^4 - (15*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (10*z^8)/a^2 - 
   5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 39781] -> -a^(-4) + 2/a^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 + 
   8*z^6 - (3*z^6)/a^6 + (15*z^6)/a^4 - (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (10*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 39782] -> -a^(-8) + a^(-6) + a^(-2) - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (23*z^4)/a^4 - (9*z^4)/a^2 + (4*z^6)/a^8 - (23*z^6)/a^6 + 
   (37*z^6)/a^4 - (12*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (25*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 39783] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 + (11*z^4)/a^4 - z^4/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (8*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39784] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39785] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 3*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 
   8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 39786] -> -1 + 5*a^2 - 4*a^4 + a^6 + 
   2*z^2 - (3*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - 
   (5*z^4)/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 39787] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 - a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + a^8*z^2 - 
   9*a^2*z^4 + 27*a^4*z^4 - 24*a^6*z^4 + 7*a^8*z^4 - 12*a^2*z^6 + 
   38*a^4*z^6 - 29*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 
   13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 39788] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 
   2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 39789] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   2*z^2 + 4*a^2*z^2 - a^4*z^2 + 12*z^4 - (4*z^4)/a^2 - 11*a^2*z^4 + 
   4*a^4*z^4 + 24*z^6 - (8*z^6)/a^2 - 20*a^2*z^6 + 4*a^4*z^6 + 19*z^8 - 
   (5*z^8)/a^2 - 11*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 39790] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39791] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + 
   (11*z^2)/a^8 - (32*z^2)/a^6 + (31*z^2)/a^4 - (7*z^2)/a^2 + (19*z^4)/a^8 - 
   (60*z^4)/a^6 + (49*z^4)/a^4 - (11*z^4)/a^2 + (17*z^6)/a^8 - (59*z^6)/a^6 + 
   (40*z^6)/a^4 - (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 39792] -> a^(-12) - 3/a^10 + 3/a^6 - (3*z^2)/a^14 + 
   (16*z^2)/a^12 - (24*z^2)/a^10 + (7*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^4)/a^14 + (29*z^4)/a^12 - (44*z^4)/a^10 + (5*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (36*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 39793] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 16*z^2 + (5*z^2)/a^4 - (17*z^2)/a^2 - 5*a^2*z^2 + 
   31*z^4 + (10*z^4)/a^4 - (33*z^4)/a^2 - 8*a^2*z^4 + 30*z^6 + (12*z^6)/a^4 - 
   (39*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39794] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 16*z^2 - 
   (5*z^2)/a^2 - 17*a^2*z^2 + 5*a^4*z^2 + 33*z^4 - (10*z^4)/a^2 - 
   31*a^2*z^4 + 8*a^4*z^4 + 39*z^6 - (12*z^6)/a^2 - 30*a^2*z^6 + 5*a^4*z^6 + 
   25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 39795] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 6*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - 
   (18*z^2)/a^2 + 8*z^4 - (10*z^4)/a^6 + (32*z^4)/a^4 - (32*z^4)/a^2 + 
   5*z^6 - (12*z^6)/a^6 + (39*z^6)/a^4 - (30*z^6)/a^2 + z^8 - (6*z^8)/a^6 + 
   (25*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 39796] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 
   9*z^2 + (5*z^2)/a^4 - (15*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + 
   (8*z^4)/a^4 - (20*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39797] -> 
  -1 + 2/a^8 - 6/a^6 + 4/a^4 + 2/a^2 - 2*z^2 + (6*z^2)/a^8 - (15*z^2)/a^6 + 
   (8*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (8*z^4)/a^8 - (21*z^4)/a^6 + 
   (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39798] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 5*z^2 - (5*z^2)/a^6 + (14*z^2)/a^4 - 
   (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (8*z^4)/a^6 + (20*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39799] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (9*z^2)/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (10*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 39800] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 
   14*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 
   22*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39801] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 39802] -> 2 - 2*a^2 + a^4 + 5*z^2 - 13*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 + 10*z^4 - 32*a^2*z^4 + 26*a^4*z^4 - 7*a^6*z^4 + 
   12*z^6 - 39*a^2*z^6 + 29*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 
   13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 39803] -> -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 
   15*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 - 10*a^2*z^4 + 32*a^4*z^4 - 
   26*a^6*z^4 + 7*a^8*z^4 - 12*a^2*z^6 + 39*a^4*z^6 - 29*a^6*z^6 + 
   5*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 39804] -> 
  3 - a^(-2) - a^2 + 19*z^2 - (7*z^2)/a^2 - 15*a^2*z^2 + 4*a^4*z^2 + 41*z^4 - 
   (13*z^4)/a^2 - 33*a^2*z^4 + 8*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 
   31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 39805] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 - 10*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - 10*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 
   7*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39806] -> 
  -a^2 + 5*a^4 - 3*a^6 - 2*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - 
   2*z^4 + a^2*z^4 + 10*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 
   5*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39807] -> 5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + 
   (5*z^2)/a^4 - (15*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + z^4 + (8*z^4)/a^4 - 
   (18*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39808] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + 6*z^2 - z^2/a^2 - 14*a^2*z^2 + 12*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 + z^4/a^2 - 12*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 
   4*z^6 + (3*z^6)/a^2 - 7*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39809] -> 
  2 + a^(-4) - 2/a^2 - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 
   3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39810] -> 2 - 2*a^2 + a^4 + 6*z^2 - 13*a^2*z^2 + 
   3*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 8*z^4 - 19*a^2*z^4 - 2*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 7*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 39811] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   5*a^4*z^2 - 8*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 2*a^2*z^4 - a^4*z^4 - 
   10*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 7*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39812] -> 
  3 - 4*a^2 + 2*a^4 + z^2 + z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 39813] -> 
  -1 + a^(-2) + a^2 + 3*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + 22*z^4 + 
   (6*z^4)/a^4 - (19*z^4)/a^2 - 7*a^2*z^4 + 28*z^6 + (11*z^6)/a^4 - 
   (33*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (24*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39814] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39815] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39816] -> 3*a^4 - 2*a^6 + 2*z^2 - 8*a^2*z^2 + 
   14*a^4*z^2 - 5*a^6*z^2 + 9*z^4 - 28*a^2*z^4 + 30*a^4*z^4 - 8*a^6*z^4 + 
   12*z^6 - 38*a^2*z^6 + 30*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 
   13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 39817] -> -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 9*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 19*z^6 + 
   (7*z^6)/a^4 - (19*z^6)/a^2 - 4*a^2*z^6 + 11*z^8 + (5*z^8)/a^4 - 
   (18*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39818] -> -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 4*z^4 - z^4/a^2 - 9*a^2*z^4 + 4*a^4*z^4 + 19*z^6 - 
   (7*z^6)/a^2 - 19*a^2*z^6 + 4*a^4*z^6 + 18*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + 
   a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 39819] -> 2*a^2 - a^4 - 2*z^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + 5*z^4 - 15*a^2*z^4 + 21*a^4*z^4 - 7*a^6*z^4 + 
   11*z^6 - 32*a^2*z^6 + 28*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 24*a^2*z^8 + 
   13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 39820] -> 1 + 4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^2 - 6*a^2*z^4 + 10*a^4*z^4 - 
   3*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39821] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39822] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + 
   z^2/a^4 + (7*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39823] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39824] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39825] -> 1 + z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + (4*z^4)/a^8 - 
   (12*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 + 
   z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39826] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 
   8*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39827] -> 
  -1 + a^(-2) + a^2 + 7*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 28*z^4 - 
   (9*z^4)/a^2 - 29*a^2*z^4 + 8*a^4*z^4 + 38*z^6 - (12*z^6)/a^2 - 
   30*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 39828] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 11*z^4 - (7*z^4)/a^4 + (18*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 39829] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39830] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 5*a^2*z^2 + 18*a^4*z^2 - 17*a^6*z^2 + 
   5*a^8*z^2 - 13*a^2*z^4 + 40*a^4*z^4 - 34*a^6*z^4 + 8*a^8*z^4 - 
   13*a^2*z^6 + 44*a^4*z^6 - 31*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   26*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 39831] -> -1 + a^(-2) + a^2 - z^2 + 
   12*z^4 - (4*z^4)/a^2 - 12*a^2*z^4 + 4*a^4*z^4 + 24*z^6 - (8*z^6)/a^2 - 
   20*a^2*z^6 + 4*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + a^4*z^8 + 
   7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 39832] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^8*z^2 - 
   8*z^4 + 19*a^2*z^4 - 6*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 
   15*a^2*z^6 + 3*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39833] -> -a^(-4) + 2/a^2 - 2*z^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39834] -> 
  3 - a^(-2) - a^2 + 5*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + (6*z^4)/a^4 - (14*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39835] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 10*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 19*z^4 - (8*z^4)/a^2 - 6*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 39836] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 - 2*a^4*z^2 + 
   6*z^4 + (8*z^4)/a^4 - (19*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 39837] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + z^2/a^4 - (5*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39838] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (4*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39839] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + 
   z^2/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39840] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^8 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39841] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 39842] -> -2 + 6*a^2 - 3*a^4 - 11*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 
   9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39843] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 5*z^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39844] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   7*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - (6*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39845] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 39846] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + 5*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39847] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39848] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (5*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39849] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (22*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39850] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (22*z^4)/a^6 - (27*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39851] -> 
  1 + a^2 - 2*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 
   3*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 2*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39852] -> 
  -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 39853] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 39854] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 - (2*z^2)/a^2 + 
   12*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   14*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 39855] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 - 
   a^6*z^2 + 2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 39856] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (14*z^2)/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (20*z^4)/a^6 - (29*z^4)/a^4 + (15*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39857] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 39858] -> -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 + 
   2*z^2 - (4*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39859] -> 2 + a^(-8) - 2/a^4 + z^2 - (2*z^2)/a^10 + 
   z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 39860] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 39861] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 39862] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   2*z^4 - z^4/a^4 + (2*z^4)/a^2 - a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39863] -> 4*a^4 - 4*a^6 + a^8 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 39864] -> -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^8 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 39865] -> -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39866] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + z^2 - 
   a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 39867] -> -4 + 3/a^2 + a^2 + a^4 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 39868] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (7*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39869] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39870] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (4*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39871] -> -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - 
   (5*z^2)/a^4 + (12*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - (8*z^4)/a^4 + 
   (18*z^4)/a^2 - 15*a^2*z^4 + 4*a^4*z^4 + 7*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 39872] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 13*z^4 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - 
   (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 39873] -> 
  -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   3*z^4 + (4*z^4)/a^8 - (9*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39874] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39875] -> 
  a^(-12) - a^(-10) - 4/a^8 + 5/a^6 + (4*z^2)/a^12 - (9*z^2)/a^10 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (16*z^4)/a^10 + 
   (3*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (8*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39876] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39877] -> a^(-8) - 2/a^6 + 2/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39878] -> -1 - 2/a^4 + 4/a^2 - 6*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (5*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39879] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - (3*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 39880] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 4*z^2 + 11*a^2*z^2 - a^4*z^2 - 
   10*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 5*a^4*z^4 - 17*a^6*z^4 + 
   8*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39881] -> -1 + 3*a^2 - a^6 - 6*z^2 + z^2/a^2 + 
   6*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 
   16*a^4*z^4 - 8*a^6*z^4 - 9*z^6 + z^6/a^2 + 9*a^2*z^6 + 14*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39882] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 26*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 39883] -> 
  12 + a^(-4) - 7/a^2 - 5*a^2 + 45*z^2 + (6*z^2)/a^4 - (30*z^2)/a^2 - 
   17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - (49*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 39884] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 40*z^2 - 
   (9*z^2)/a^2 - 53*a^2*z^2 + 20*a^4*z^2 + 66*z^4 - (12*z^4)/a^2 - 
   98*a^2*z^4 + 33*a^4*z^4 + 48*z^6 - (6*z^6)/a^2 - 87*a^2*z^6 + 24*a^4*z^6 + 
   16*z^8 - z^8/a^2 - 41*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39885] -> 
  a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 + (8*z^2)/a^8 - (38*z^2)/a^6 + 
   (56*z^2)/a^4 - (20*z^2)/a^2 + (12*z^4)/a^8 - (65*z^4)/a^6 + (99*z^4)/a^4 - 
   (33*z^4)/a^2 + (6*z^6)/a^8 - (48*z^6)/a^6 + (87*z^6)/a^4 - (24*z^6)/a^2 + 
   z^8/a^8 - (16*z^8)/a^6 + (41*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + 
   (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 39886] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 4*z^2 + (5*z^2)/a^8 - (21*z^2)/a^6 + 
   (26*z^2)/a^4 - z^2/a^2 - 8*z^4 + (4*z^4)/a^8 - (23*z^4)/a^6 + 
   (26*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (16*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39887] -> 
  -2 - a^(-4) + 4/a^2 - 2*a^2 + 2*a^4 - 7*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 - 
   15*a^2*z^2 + 9*a^4*z^2 - 13*z^4 - (4*z^4)/a^4 + (20*z^4)/a^2 - 
   25*a^2*z^4 + 12*a^4*z^4 - 13*z^6 - z^6/a^4 + (11*z^6)/a^2 - 19*a^2*z^6 + 
   6*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39888] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 9*z^2 + 
   (4*z^2)/a^8 - (13*z^2)/a^6 + (7*z^2)/a^4 + (16*z^2)/a^2 - 12*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (13*z^4)/a^4 + (25*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39889] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + z^4 + 
   z^4/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 39890] -> 
  2*a^2 - 2*a^6 + a^8 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39891] -> 
  a^2 + a^4 - a^6 - 3*z^2 + 4*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 39892] -> 2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 19*a^2*z^4 + 9*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 39893] -> 
  3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + a^8*z^2 + 
   3*z^4 - z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 39894] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 13*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 39895] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 14*z^2 - 
   (6*z^2)/a^6 + (28*z^2)/a^4 - (36*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + 
   (48*z^4)/a^4 - (71*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - 
   (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 39896] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + (2*z^2)/a^8 - (14*z^2)/a^6 + 
   (27*z^2)/a^4 - (10*z^2)/a^2 + (7*z^4)/a^8 - (37*z^4)/a^6 + (60*z^4)/a^4 - 
   (21*z^4)/a^2 + (5*z^6)/a^8 - (35*z^6)/a^6 + (62*z^6)/a^4 - (18*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (33*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 39897] -> 
  -a^(-8) + 2/a^4 - 3*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 + 
   (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + (16*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39898] -> -a^(-8) + a^(-6) + a^(-2) - 
   4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39899] -> 
  -2/a^10 + 4/a^6 - a^(-4) + (2*z^2)/a^12 - (10*z^2)/a^10 + (7*z^2)/a^8 + 
   (15*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (14*z^4)/a^10 + (12*z^4)/a^8 + 
   (21*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (10*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 39900] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (15*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - z^4/a^8 + 
   (14*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39901] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - (28*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 39902] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (13*z^4)/a^8 - (7*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (9*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39903] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39904] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (23*z^4)/a^4 + 
   (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 39905] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   23*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (26*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39906] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39907] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 7*a^2*z^2 - 14*a^4*z^2 + 15*a^6*z^2 - 
   3*a^8*z^2 - 4*z^4 + 13*a^2*z^4 - 19*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 - 6*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 39908] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   13*a^2*z^4 - 27*a^4*z^4 + 23*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 39909] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 39910] -> a^(-2) - a^2 + a^4 + 15*z^2 - 
   (4*z^2)/a^2 - 21*a^2*z^2 + 8*a^4*z^2 + 48*z^4 - (16*z^4)/a^2 - 
   48*a^2*z^4 + 12*a^4*z^4 + 56*z^6 - (17*z^6)/a^2 - 41*a^2*z^6 + 6*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 39911] -> 
  7 - a^(-2) - 9*a^2 + 4*a^4 + 43*z^2 - (13*z^2)/a^2 - 49*a^2*z^2 + 
   16*a^4*z^2 + 86*z^4 - (28*z^4)/a^2 - 78*a^2*z^4 + 17*a^4*z^4 + 81*z^6 - 
   (23*z^6)/a^2 - 54*a^2*z^6 + 7*a^4*z^6 + 40*z^8 - (8*z^8)/a^2 - 
   17*a^2*z^8 + a^4*z^8 + 10*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 39912] -> 5 - 8*a^2 + 4*a^4 + 12*z^2 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 24*a^2*z^2 + 8*a^4*z^2 + 17*z^4 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 - 26*a^2*z^4 + 5*a^4*z^4 + 14*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 12*a^2*z^6 + a^4*z^6 + 6*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 39913] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 - (7*z^4)/a^10 + (14*z^4)/a^8 - (2*z^4)/a^6 - 
   (18*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + (6*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 39914] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 11*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39915] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39916] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 13*z^2 - 
   (6*z^2)/a^2 - 3*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 + 22*z^4 - (11*z^4)/a^2 + 
   5*a^2*z^4 - 23*a^4*z^4 + 5*a^6*z^4 + 18*z^6 - (6*z^6)/a^2 + 11*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 39917] -> 1 + a^(-2) - a^2 - 2*a^4 + 
   2*a^6 + 6*z^2 - (2*z^2)/a^4 - 5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 11*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39918] -> 3 + a^(-6) - 3/a^2 - (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (8*z^4)/a^6 + 
   (18*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39919] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 9*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 2*a^6*z^2 + 
   18*z^4 - (8*z^4)/a^2 - 7*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 15*z^6 - 
   (5*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 39920] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 - 10*a^2*z^2 + 34*a^4*z^2 - 30*a^6*z^2 + 
   9*a^8*z^2 - 21*a^2*z^4 + 65*a^4*z^4 - 54*a^6*z^4 + 12*a^8*z^4 - 
   18*a^2*z^6 + 63*a^4*z^6 - 42*a^6*z^6 + 6*a^8*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 39921] -> 4*a^4 - 4*a^6 + a^8 - 3*z^2 + 
   4*a^2*z^2 + 10*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 9*a^2*z^4 + 
   13*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 11*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 39922] -> 
  2*a^6 + a^8 - 2*a^10 - a^4*z^2 + 11*a^6*z^2 + 2*a^8*z^2 - 7*a^10*z^2 + 
   3*a^12*z^2 - 6*a^4*z^4 + 16*a^6*z^4 + 4*a^8*z^4 - 14*a^10*z^4 + 
   4*a^12*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 7*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 39923] -> 3*a^6 - a^8 - a^10 + 2*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - 
   2*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 39924] -> 4*a^6 - 3*a^8 + a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 9*a^6*z^4 - 5*a^8*z^4 - 
   3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 39925] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 + (4*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + 
   (9*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - (16*z^4)/a^6 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 39926] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (6*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39927] -> 1 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 - z^4 + (7*z^4)/a^4 - (13*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 39928] -> -1 + a^(-2) + a^2 + z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 39929] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + z^2/a^2 + 18*a^2*z^2 - 19*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 18*z^4 + (4*z^4)/a^2 + 30*a^2*z^4 - 21*a^4*z^4 + 
   4*a^6*z^4 - 15*z^6 + (4*z^6)/a^2 + 19*a^2*z^6 - 6*a^4*z^6 - 6*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 39930] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 
   a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 5*a^8*z^4 - 2*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 39931] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 9*a^2*z^2 - 15*a^4*z^2 + 17*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 14*a^2*z^4 - 25*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 39932] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (16*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (25*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39933] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 39*z^2 + (11*z^2)/a^4 - (36*z^2)/a^2 - 
   12*a^2*z^2 + 59*z^4 + (21*z^4)/a^4 - (66*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 39934] -> 2 - 7*a^2 + 11*a^4 - 5*a^6 + 13*z^2 - 
   43*a^2*z^2 + 50*a^4*z^2 - 16*a^6*z^2 + 28*z^4 - 86*a^2*z^4 + 78*a^4*z^4 - 
   17*a^6*z^4 + 23*z^6 - 81*a^2*z^6 + 54*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 
   40*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 39935] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 
   z^2 + (2*z^2)/a^2 - 17*a^2*z^2 + 25*a^4*z^2 - 8*a^6*z^2 - 8*z^4 + 
   (7*z^4)/a^2 - 19*a^2*z^4 + 26*a^4*z^4 - 5*a^6*z^4 - 12*z^6 + (5*z^6)/a^2 - 
   14*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39936] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 14*z^2 + (6*z^2)/a^2 + 3*a^2*z^2 + 
   15*a^4*z^2 - 7*a^6*z^2 - 22*z^4 + (11*z^4)/a^2 - 5*a^2*z^4 + 23*a^4*z^4 - 
   5*a^6*z^4 - 18*z^6 + (6*z^6)/a^2 - 11*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39937] -> -3 + a^(-2) + 4*a^2 - a^6 - 11*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^4 + 5*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 39938] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   10*z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (9*z^4)/a^6 + (20*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39939] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + (7*z^2)/a^6 - (10*z^2)/a^4 + 
   z^4 - (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 39940] -> 
  -4 + 3/a^2 + a^2 + a^4 - 11*z^2 - (2*z^2)/a^6 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (12*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 39941] -> 
  3*a^4 - 2*a^6 + 4*z^2 - 16*a^2*z^2 + 24*a^4*z^2 - 9*a^6*z^2 + 16*z^4 - 
   48*a^2*z^4 + 49*a^4*z^4 - 12*a^6*z^4 + 17*z^6 - 56*a^2*z^6 + 41*a^4*z^6 - 
   6*a^6*z^6 + 7*z^8 - 32*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 
   9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 39942] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   6*z^4 + (5*z^4)/a^2 - 9*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + 
   (4*z^6)/a^2 - 10*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39943] -> 
  2*a^2 - a^4 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 2*a^6*z^2 - 16*z^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   2*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 39944] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 5*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 
   11*a^8*z^2 - 5*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 3*a^6*z^4 + 
   17*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39945] -> 
  a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   9*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39946] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 
   17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 
   24*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39947] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - z^4/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39948] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   11*z^2 - z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 - (3*z^4)/a^6 + (17*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (2*z^6)/a^6 + (13*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 39949] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - (2*z^2)/a^16 - (4*z^2)/a^14 + 
   (2*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - (2*z^4)/a^14 + 
   (13*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 39950] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 + z^2/a^16 - (12*z^2)/a^14 + z^2/a^12 + 
   (22*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - (10*z^4)/a^14 + 
   (17*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 39951] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 
   9*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (18*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (9*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39952] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + (2*z^2)/a^8 + 
   z^2/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39953] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (13*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^6 - z^6/a^4 - 
   (11*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 39954] -> 3 - a^(-2) - 2*a^4 + a^6 + 8*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 13*z^4 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 10*z^6 - z^6/a^4 + 
   z^6/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 39955] -> -a^2 + 8*a^4 - 9*a^6 + 3*a^8 - 2*z^2 + 
   19*a^4*z^2 - 24*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 11*a^4*z^4 - 
   26*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 2*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 39956] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 
   2*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + (19*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (19*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 39957] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 2*z^2 + 
   2*a^2*z^2 + 10*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   3*a^4*z^4 - 12*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 39958] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 6*z^2 + 17*a^2*z^2 - 17*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 - 24*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 18*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 39959] -> 7*a^8 - 8*a^10 + 2*a^12 - 4*a^4*z^2 + 
   6*a^6*z^2 + 23*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 13*a^6*z^4 + 26*a^8*z^4 - 16*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + 14*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 39960] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 39961] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 39962] -> 
  2*a^2 - a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 - 4*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39963] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 
   a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 39964] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39965] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 25*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (20*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 17*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 39966] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 39967] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^2)/a^4 + z^2/a^2 - 5*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (9*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 39968] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 
   2/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (17*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (25*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 39969] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 
   2*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 
   a^8*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 39970] -> 
  -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 + 2*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39971] -> 2 + 2/a^6 - 3/a^4 + z^2 - z^2/a^10 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 39972] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 39973] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 39974] -> -2 + 2/a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - (7*z^4)/a^4 + 
   (14*z^4)/a^2 - 15*a^2*z^4 + 4*a^4*z^4 + 7*z^6 - (5*z^6)/a^4 + 
   (13*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 39975] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 39976] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 39977] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + a^6*z^2 + 6*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 39978] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 17*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   24*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (25*z^4)/a^2 + 10*a^2*z^4 - 
   a^4*z^4 - 14*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 39979] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 - a^4*z^2 + 
   8*a^6*z^2 - 4*a^8*z^2 + a^12*z^2 - z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 39980] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   3*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 39981] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (7*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 39982] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + z^2/a^4 + (10*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - 
   (16*z^4)/a^6 - (4*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (14*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39983] -> -1 - 2/a^4 + 4/a^2 - z^2 + (2*z^2)/a^8 - 
   z^2/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 39984] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^2 - 
   5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   12*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 39985] -> -a^(-10) + 6/a^8 - 10/a^6 + 5/a^4 + a^(-2) - 
   (6*z^2)/a^10 + (21*z^2)/a^8 - (23*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   (8*z^4)/a^10 + (24*z^4)/a^8 - (16*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 39986] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 2*z^2 + 
   z^2/a^2 - 13*a^2*z^2 + 17*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + (4*z^4)/a^2 - 
   14*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 39987] -> -a^(-10) + 4/a^8 - 6/a^6 + 
   3/a^4 + a^(-2) - (2*z^2)/a^10 + (10*z^2)/a^8 - (11*z^2)/a^6 + 
   (4*z^2)/a^2 - (4*z^4)/a^10 + (11*z^4)/a^8 - (7*z^4)/a^6 - (10*z^4)/a^4 + 
   (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 39988] -> a^(-10) - 3/a^8 + 3/a^6 - 
   2/a^4 + 2/a^2 - z^2 + (3*z^2)/a^10 - (9*z^2)/a^8 + (15*z^2)/a^6 - 
   (17*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - (11*z^4)/a^8 + 
   (21*z^4)/a^6 - (28*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (14*z^6)/a^6 - (17*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 39989] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (22*z^2)/a^10 + (4*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (16*z^4)/a^12 - (23*z^4)/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (14*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 39990] -> 
  2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - 4*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 39991] -> 
  a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - (12*z^2)/a^14 + (3*z^2)/a^12 + 
   (22*z^2)/a^10 + z^2/a^8 - (3*z^4)/a^16 - (9*z^4)/a^14 + (21*z^4)/a^12 + 
   (32*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (18*z^6)/a^12 + 
   (20*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 39992] -> -3/a^12 + 2/a^10 + 2/a^8 - 
   z^2/a^16 - (5*z^2)/a^14 + (12*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - 
   (3*z^4)/a^14 + (12*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   (2*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 39993] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - z^2/a^16 - (6*z^2)/a^14 + 
   (2*z^2)/a^12 + (10*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^16 - (2*z^4)/a^14 + 
   (8*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 39994] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (4*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 39995] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 39996] -> 
  2*a^2 - a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 - 4*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 39997] -> 
  5 - 2/a^2 - 2*a^2 + 15*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + 22*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - 9*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 39998] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 12*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (10*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 39999] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 6*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40000] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (30*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   (6*z^6)/a^6 - (18*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40001] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - 15*a^2*z^2 + 
   7*a^4*z^2 - (2*z^4)/a^4 + (8*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40002] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - 
   4*z^6 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 + (11*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40003] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40004] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 + z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   8*a^4*z^4 - a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 40005] -> 
  2/a^8 - 6/a^6 + 5/a^4 - 2*z^2 + (6*z^2)/a^8 - (14*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (16*z^4)/a^6 - z^4/a^4 + 
   (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40006] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - (12*z^2)/a^10 - 
   z^2/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - 
   (17*z^4)/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40007] -> 
  -2 + a^(-4) + 2*a^2 - 13*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40008] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40009] -> -3 + 3/a^2 - a^2 + 2*a^4 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40010] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40011] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - 4*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40012] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 - 11*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 40013] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 3*z^2 - 2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40014] -> 2 - 2*a^2 + a^4 + z^2/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 40015] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + 2*z^2 - 5*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 40016] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + z^4 - a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40017] -> 
  2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 + (7*z^2)/a^4 - (15*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 6*z^4 + (9*z^4)/a^4 - (20*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40018] -> 2 + a^(-6) - 2/a^4 + a^2 - a^4 + 6*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 40019] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 + 
   a^2*z^6 + 6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 40020] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + (3*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40021] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (2*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40022] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40023] -> -3/a^8 + 4/a^6 + z^2/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 + 
   (2*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40024] -> -6 - 2/a^6 + a^(-4) + 6/a^2 + 2*a^2 - 
   17*z^2 - (5*z^2)/a^6 + (11*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 21*z^4 - 
   (4*z^4)/a^6 + (17*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40025] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (15*z^4)/a^10 + (9*z^4)/a^8 + 
   (25*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (10*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 40026] -> 
  -1 - a^(-8) + 3/a^4 - a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40027] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + 
   z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40028] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40029] -> 
  5 - a^(-6) + 6/a^4 - 9/a^2 + 13*z^2 - (10*z^2)/a^6 + (34*z^2)/a^4 - 
   (40*z^2)/a^2 + 13*z^4 - (21*z^4)/a^6 + (65*z^4)/a^4 - (60*z^4)/a^2 + 
   6*z^6 - (18*z^6)/a^6 + (63*z^6)/a^4 - (43*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 40030] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 
   16*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - 
   (8*z^4)/a^6 + (15*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40031] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 26*z^2 - 
   (9*z^2)/a^2 - 25*a^2*z^2 + 7*a^4*z^2 + 50*z^4 - (16*z^4)/a^2 - 
   41*a^2*z^4 + 9*a^4*z^4 + 49*z^6 - (14*z^6)/a^2 - 33*a^2*z^6 + 5*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40032] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   3*a^8*z^2 - 6*z^4 + 11*a^2*z^4 + a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40033] -> a^(-6) - 3/a^4 + 3/a^2 - 6*z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   14*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40034] -> 
  6 + 2/a^4 - 6/a^2 - a^4 + 11*z^2 + (6*z^2)/a^4 - (17*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 + (9*z^4)/a^4 - (22*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40035] -> 1 + (3*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40036] -> -1 + a^(-2) + a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40037] -> 2*a^2 - a^4 - 3*z^2 + 7*a^2*z^2 - 
   6*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 12*a^2*z^4 + 3*a^4*z^4 - 12*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40038] -> 2 - 2*a^2 + a^4 + 9*z^2 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (8*z^4)/a^4 - (18*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40039] -> a^(-2) - a^2 + a^4 + 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40040] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (4*z^2)/a^14 + (6*z^2)/a^12 + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (15*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (10*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - 
   (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 40041] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (5*z^4)/a^10 - (7*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40042] -> -a^(-8) + 2/a^4 + z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40043] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (8*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40044] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40045] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 24*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 - 12*a^2*z^2 + 30*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (11*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 40046] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   7*a^2*z^2 - 5*a^4*z^2 + 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + 7*a^2*z^4 - 
   4*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40047] -> 
  1 + 9*z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - (21*z^2)/a^2 + 20*z^4 - 
   (8*z^4)/a^6 + (39*z^4)/a^4 - (57*z^4)/a^2 + 18*z^6 - (5*z^6)/a^6 + 
   (36*z^6)/a^4 - (61*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 40048] -> -1 + a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + 
   (13*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 40049] -> 
  -3 - a^(-4) + 4/a^2 + a^2 - a^4 + a^6 - 16*z^2 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 15*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 40050] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (8*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (11*z^4)/a^8 - 
   (10*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40051] -> -a^(-8) + 2/a^4 - 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (9*z^4)/a^6 + (6*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40052] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*z^4 + 
   3*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 
   2*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40053] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 3*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40054] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 40055] -> 
  -a^(-10) + 5/a^8 - 6/a^6 + 3/a^2 + z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40056] -> 
  4*a^4 - 4*a^6 + a^8 - 2*z^2 + 2*a^2*z^2 + 10*a^4*z^2 - 12*a^6*z^2 + 
   4*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 12*a^4*z^4 - 15*a^6*z^4 + 3*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 9*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40057] -> 5*a^6 - 5*a^8 + a^10 - 2*a^4*z^2 + 
   17*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 
   18*a^6*z^4 - 10*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 - 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 40058] -> 6 + 2/a^4 - 6/a^2 - a^4 + 11*z^2 + 
   (6*z^2)/a^4 - (17*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (9*z^4)/a^4 - 
   (22*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40059] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40060] -> 2*a^4 - a^8 + 2*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 
   10*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 40061] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   z^2 - 2*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - a^4*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40062] -> 
  7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 9*z^2 + (9*z^2)/a^4 - (22*z^2)/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 - 3*z^4 + (12*z^4)/a^4 - (27*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 11*z^6 + (6*z^6)/a^4 - (19*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 40063] -> 1 + a^(-6) - 3/a^4 + 2/a^2 + 
   a^2 - a^4 + 4*z^2 + (4*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - (8*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + z^6/a^6 - (4*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40064] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 4*a^2*z^2 + 4*a^4*z^2 - 11*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 5*a^4*z^4 - 13*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40065] -> a^2 + a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - a^2*z^4 + 
   11*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40066] -> -3/a^8 + 4/a^6 - (3*z^2)/a^14 + 
   (5*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (14*z^4)/a^12 - (2*z^4)/a^10 - (14*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (10*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - 
   (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 40067] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40068] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40069] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (11*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40070] -> -a^(-4) + 2/a^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40071] -> 1 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 40072] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 13*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 22*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (22*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40073] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 
   2*z^2 + a^2*z^2 + 15*a^4*z^2 - 18*a^6*z^2 + 6*a^8*z^2 - 3*z^4 + 
   8*a^2*z^4 + 9*a^4*z^4 - 22*a^6*z^4 + 8*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   2*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40074] -> 
  9 - 2/a^2 - 9*a^2 + 2*a^4 + a^6 + 27*z^2 - (7*z^2)/a^2 - 26*a^2*z^2 - 
   4*a^4*z^2 + 7*a^6*z^2 + 29*z^4 - (5*z^4)/a^2 - 29*a^2*z^4 - 17*a^4*z^4 + 
   11*a^6*z^4 + 13*z^6 - z^6/a^2 - 19*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 40075] -> -2 - a^(-4) + 4/a^2 - a^2 + a^6 - 3*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 8*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 13*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40076] -> 3 - 4*a^2 + 2*a^4 + 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 10*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 12*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40077] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 40078] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - z^2/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 
   4*z^4 - z^4/a^4 + (3*z^4)/a^2 - 15*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40079] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 5*z^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - 
   (12*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - 
   (13*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40080] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   4*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 40081] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 40082] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^4 + 
   z^4/a^8 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40083] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   z^2/a^4 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 40084] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 - a^2*z^2 + 
   3*a^4*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40085] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 3*a^2*z^2 + 4*a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40086] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + a^4*z^2 - 3*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + 3*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40087] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40088] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + a^4*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 40089] -> 
  1 + z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40090] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40091] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 9*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40092] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - a^10*z^2 + a^12*z^2 - z^4 + a^4*z^4 + a^6*z^4 - 
   a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 40093] -> -1 - 2/a^4 + 4/a^2 + z^2 + (2*z^2)/a^8 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40094] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40095] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + 8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40096] -> -1 + a^(-6) - 3/a^4 + 3/a^2 + 2*a^2 - a^4 - 
   13*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (21*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 40097] -> -a^(-10) + 5/a^8 - 8/a^6 + 4/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (16*z^2)/a^8 - (18*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (7*z^4)/a^10 + (20*z^4)/a^8 - (14*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40098] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 40099] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 6*z^2 - z^2/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 40100] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (10*z^2)/a^2 + a^2*z^2 - 4*z^4 - (5*z^4)/a^6 + (14*z^4)/a^4 - 
   (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40101] -> 1 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 40102] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40103] -> a^(-16) - 4/a^14 + 4/a^10 - (2*z^2)/a^16 - 
   (12*z^2)/a^14 + (10*z^2)/a^12 + (20*z^2)/a^10 - (7*z^4)/a^16 - 
   (7*z^4)/a^14 + (33*z^4)/a^12 + (33*z^4)/a^10 - (5*z^6)/a^16 + 
   (5*z^6)/a^14 + (34*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + 
   (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 40104] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - 
   z^2/a^16 - (9*z^2)/a^14 + (4*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^4)/a^16 - (4*z^4)/a^14 + (16*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 40105] -> -2/a^14 + a^(-12) + 2/a^8 - (4*z^2)/a^16 - 
   z^2/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^16 + 
   (4*z^4)/a^14 + (12*z^4)/a^12 + (15*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + 
   (4*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 40106] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - (2*z^2)/a^16 - (2*z^2)/a^14 + 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + 
   z^4/a^14 + (7*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 40107] -> 2 - a^(-2) + a^2 - a^4 + z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40108] -> a^(-8) - 2/a^6 + 2/a^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40109] -> a^(-4) - a^(-2) + a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40110] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40111] -> 4 - 6*a^2 + 3*a^4 + 7*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 24*a^2*z^2 + 11*a^4*z^2 - z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 
   32*a^2*z^4 + 13*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 - 21*a^2*z^6 + 
   6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40112] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 8*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 12*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 40113] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - 
   z^4/a^4 + (10*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + 
   (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 40114] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 8*z^2 + z^2/a^2 + 9*a^2*z^2 + 10*a^4*z^2 - 
   7*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40115] -> -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + 
   12*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 40116] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 37*z^2 + (6*z^2)/a^4 - (27*z^2)/a^2 - 
   14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - (48*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 40117] -> 2 - 2*a^2 + a^4 + 16*z^2 - (3*z^2)/a^2 - 
   24*a^2*z^2 + 10*a^4*z^2 + 38*z^4 - (7*z^4)/a^2 - 59*a^2*z^4 + 21*a^4*z^4 + 
   35*z^6 - (5*z^6)/a^2 - 62*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 
   33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 40118] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 12*a^2*z^2 + 6*a^4*z^2 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   21*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40119] -> -2 + 2/a^2 + a^4 - 12*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 40120] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 13*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 + 24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40121] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 40122] -> 
  2 - 5*a^2 + 6*a^4 - a^6 - a^8 + 9*z^2 - 22*a^2*z^2 + 14*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 + 12*z^4 - 30*a^2*z^4 + 5*a^4*z^4 + 15*a^6*z^4 - 
   4*a^8*z^4 + 6*z^6 - 20*a^2*z^6 - 6*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 40123] -> 2 - 4*a^2 + 4*a^4 - a^8 + (2*z^2)/a^2 - 
   8*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 
   10*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40124] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40125] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 6*z^2 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 9*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (4*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40126] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 + 5*a^4*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - 3*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 40127] -> 3 + a^(-2) - 7*a^2 + 4*a^4 + 5*z^2 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 - 22*a^2*z^2 + 8*a^4*z^2 + 10*z^4 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 - 25*a^2*z^4 + 5*a^4*z^4 + 12*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 - 12*a^2*z^6 + a^4*z^6 + 6*z^8 - z^8/a^4 + 
   (7*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 40128] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 + z^2 - (4*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40129] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 40130] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 40131] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 4*z^2 + 9*a^2*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 
   8*z^4 + 18*a^2*z^4 - a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 
   15*a^2*z^6 + 4*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40132] -> 3 + a^(-6) - 3/a^2 - (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (8*z^4)/a^6 + 
   (18*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40133] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 9*z^2 - (3*z^2)/a^2 - 11*a^2*z^2 + 2*a^6*z^2 + 
   18*z^4 - (8*z^4)/a^2 - 7*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 15*z^6 - 
   (5*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 40134] -> 
  -a^(-6) + a^(-4) + a^(-2) - (3*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - (7*z^4)/a^10 + (15*z^4)/a^8 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 40135] -> -a^(-4) + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40136] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + (7*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40137] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 30*z^2 + (11*z^2)/a^4 - (33*z^2)/a^2 - 
   9*a^2*z^2 + 54*z^4 + (21*z^4)/a^4 - (65*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 40138] -> 3 + 2/a^4 - 4/a^2 + 7*z^2 + (6*z^2)/a^4 - 
   (16*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (9*z^4)/a^4 - 
   (22*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40139] -> 
  -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (15*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (23*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (16*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 40140] -> 
  3 + a^(-6) - 3/a^2 + 10*z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - (25*z^2)/a^2 + 
   12*z^4 - (16*z^4)/a^6 + (47*z^4)/a^4 - (50*z^4)/a^2 + 6*z^6 - 
   (17*z^6)/a^6 + (56*z^6)/a^4 - (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (32*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 40141] -> 1 + a^(-6) - 2/a^2 + a^2 - 
   3*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (8*z^4)/a^6 + (18*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40142] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 12*z^2 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40143] -> 
  -a^(-14) + 2/a^10 - 3/a^8 + 3/a^6 - (3*z^2)/a^14 + (6*z^2)/a^12 + 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40144] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - (2*z^2)/a^14 - z^2/a^12 + 
   (6*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (4*z^4)/a^12 + (7*z^4)/a^10 + z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40145] -> -a^(-10) + a^(-8) + a^(-2) + z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40146] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (9*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40147] -> -a^(-14) + 4/a^12 - 5/a^10 - 
   a^(-8) + 4/a^6 - z^2/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (4*z^4)/a^10 - (10*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 40148] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40149] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 + z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 40150] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 + 2*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 40151] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40152] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 4*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40153] -> 3*a^4 - 2*a^6 - 2*z^2 + 5*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 3*a^4*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40154] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40155] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 
   16*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40156] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + a^4*z^2 - 
   5*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 40157] -> 
  1 + z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 + z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40158] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40159] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2/a^10 + (6*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (5*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 40160] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40161] -> -2/a^10 - a^(-8) + 7/a^6 - 4/a^4 + a^(-2) - 
   (7*z^2)/a^10 + (10*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (19*z^4)/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (6*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40162] -> -a^(-12) - a^(-10) + 3/a^8 - a^(-4) + 
   a^(-2) - (3*z^2)/a^12 + (4*z^2)/a^10 + (9*z^2)/a^8 - (4*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (7*z^4)/a^10 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (9*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 40163] -> -2/a^10 - a^(-8) + 7/a^6 - 4/a^4 + a^(-2) - 
   (7*z^2)/a^10 + (9*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   (8*z^4)/a^10 + (18*z^4)/a^8 + (13*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40164] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (7*z^2)/a^14 - z^2/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - 
   (5*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 40165] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - z^2/a^16 - (2*z^2)/a^14 + 
   (5*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + (5*z^4)/a^12 + 
   (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 40166] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40167] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 9*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (10*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40168] -> 1 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 - 
   a^4*z^2 + 5*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40169] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40170] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40171] -> -a^(-10) + 5/a^8 - 6/a^6 + 3/a^2 + 
   z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40172] -> -2 + 2/a^6 - 3/a^4 + 2/a^2 + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40173] -> 
  -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 + 2*z^2 - (4*z^2)/a^10 + 
   (9*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40174] -> 
  2 + a^(-8) - 2/a^4 + z^2 - (2*z^2)/a^10 + z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40175] -> 
  -2/a^10 + a^(-8) + 2/a^6 + z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40176] -> 
  -a^(-12) + a^(-8) + a^(-6) - a^(-4) + a^(-2) + z^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (2*z^4)/a^10 + (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 40177] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 5*a^2*z^2 - 
   15*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40178] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 69*z^2 + 
   (10*z^2)/a^4 - (47*z^2)/a^2 - 26*a^2*z^2 + 113*z^4 + (13*z^4)/a^4 - 
   (73*z^4)/a^2 - 37*a^2*z^4 + 93*z^6 + (6*z^6)/a^4 - (50*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 40179] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 8*z^2 + (4*z^2)/a^4 - (14*z^2)/a^2 + 
   17*a^2*z^2 - 10*a^4*z^2 + 14*z^4 + (4*z^4)/a^4 - (20*z^4)/a^2 + 
   26*a^2*z^4 - 12*a^4*z^4 + 13*z^6 + z^6/a^4 - (11*z^6)/a^2 + 19*a^2*z^6 - 
   6*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 7*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40180] -> -1 + a^2 + 4*a^4 - 3*a^6 + 2*z^2 - 
   15*a^2*z^2 + 31*a^4*z^2 - 13*a^6*z^2 + 7*z^4 - 38*a^2*z^4 + 64*a^4*z^4 - 
   22*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 63*a^4*z^6 - 18*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 40181] -> -2 + 5*a^2 - a^4 - a^6 - 
   10*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 + 15*a^4*z^4 - 8*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   10*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40182] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 5*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (18*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40183] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 40184] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 + 
   5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40185] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 30*z^2 + 
   (2*z^2)/a^4 - (15*z^2)/a^2 - 12*a^2*z^2 + 51*z^4 + (5*z^4)/a^4 - 
   (29*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 40186] -> 
  2 + a^(-4) - 2/a^2 + 9*z^2 - (2*z^2)/a^6 + (13*z^2)/a^4 - (21*z^2)/a^2 + 
   16*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - (46*z^4)/a^2 + 14*z^6 - 
   (4*z^6)/a^6 + (27*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 40187] -> 2 - 2*a^2 + a^4 + 8*z^2 - 
   z^2/a^2 - 14*a^2*z^2 + 6*a^4*z^2 + 22*z^4 - (4*z^4)/a^2 - 36*a^2*z^4 + 
   13*a^4*z^4 + 25*z^6 - (4*z^6)/a^2 - 43*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 40188] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 2*a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40189] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 61*z^2 + 
   (17*z^2)/a^4 - (55*z^2)/a^2 - 19*a^2*z^2 + 87*z^4 + (32*z^4)/a^4 - 
   (99*z^4)/a^2 - 18*a^2*z^4 + 56*z^6 + (24*z^6)/a^4 - (87*z^6)/a^2 - 
   7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (41*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 40190] -> 
  3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 16*z^2 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (2*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + (11*z^4)/a^6 - (23*z^4)/a^4 - 
   (6*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + (6*z^6)/a^6 - (18*z^6)/a^4 - 
   (11*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (7*z^8)/a^4 - (6*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 40191] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 4*z^2 + 10*a^2*z^2 - 2*a^4*z^2 - 10*a^6*z^2 + 
   5*a^8*z^2 - 8*z^4 + 16*a^2*z^4 + 3*a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 
   5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40192] -> 10 + 2/a^4 - 8/a^2 - 2*a^2 - a^4 + 17*z^2 + 
   (10*z^2)/a^4 - (26*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 5*z^4 + 
   (13*z^4)/a^4 - (32*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   (6*z^6)/a^4 - (21*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40193] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 9*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40194] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 44*z^2 + 
   (13*z^2)/a^4 - (41*z^2)/a^2 - 13*a^2*z^2 + 61*z^4 + (22*z^4)/a^4 - 
   (70*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (64*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 40195] -> 
  7 - a^(-2) - 9*a^2 + 4*a^4 + 35*z^2 - (11*z^2)/a^2 - 39*a^2*z^2 + 
   12*a^4*z^2 + 66*z^4 - (21*z^4)/a^2 - 59*a^2*z^4 + 13*a^4*z^4 + 63*z^6 - 
   (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 40196] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + z^2 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 - 14*a^2*z^2 + 5*a^4*z^2 + 5*z^4 - (8*z^4)/a^4 + 
   (17*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 40197] -> 
  2*a^2 - 2*a^6 + a^8 - 2*z^2 + 4*a^2*z^2 + 5*a^4*z^2 - 12*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 7*a^2*z^4 + 10*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40198] -> 8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 11*z^2 + 
   (7*z^2)/a^4 - (18*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40199] -> 
  a^2 + a^4 - a^6 - 3*z^2 + 7*a^2*z^2 + a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 
   6*z^4 + 12*a^2*z^4 + 3*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 
   11*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40200] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (5*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + 
   (8*z^4)/a^8 - (20*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40201] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 38*z^2 + 
   (11*z^2)/a^4 - (36*z^2)/a^2 - 12*a^2*z^2 + 59*z^4 + (21*z^4)/a^4 - 
   (66*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (63*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 40202] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 3*z^2 + (5*z^2)/a^4 - (13*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (8*z^4)/a^4 - (17*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40203] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40204] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 9*z^2 - 
   26*a^2*z^2 + 25*a^4*z^2 - 7*a^6*z^2 + 16*z^4 - 50*a^2*z^4 + 41*a^4*z^4 - 
   9*a^6*z^4 + 14*z^6 - 49*a^2*z^6 + 33*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 40205] -> -2/a^6 + 3/a^4 + (8*z^2)/a^8 - 
   (23*z^2)/a^6 + (24*z^2)/a^4 - (6*z^2)/a^2 + (18*z^4)/a^8 - (55*z^4)/a^6 + 
   (47*z^4)/a^4 - (11*z^4)/a^2 + (17*z^6)/a^8 - (58*z^6)/a^6 + (40*z^6)/a^4 - 
   (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + 
   z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 40206] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + (7*z^4)/a^8 - 
   (13*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (13*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40207] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40208] -> 
  7 - 3/a^2 - 3*a^2 + 25*z^2 + (6*z^2)/a^4 - (20*z^2)/a^2 - 8*a^2*z^2 + 
   39*z^4 + (13*z^4)/a^4 - (41*z^4)/a^2 - 9*a^2*z^4 + 32*z^6 + (13*z^6)/a^4 - 
   (44*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 40209] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 14*z^2 - 
   (4*z^2)/a^2 - 20*a^2*z^2 + 7*a^4*z^2 + 37*z^4 - (12*z^4)/a^2 - 
   37*a^2*z^4 + 9*a^4*z^4 + 43*z^6 - (13*z^6)/a^2 - 32*a^2*z^6 + 5*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40210] -> 
  3 + a^(-6) - 3/a^2 + 6*z^2 - z^2/a^6 + (7*z^2)/a^4 - (15*z^2)/a^2 + 8*z^4 - 
   (9*z^4)/a^6 + (27*z^4)/a^4 - (31*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + 
   (38*z^6)/a^4 - (30*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (25*z^8)/a^4 - 
   (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 40211] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40212] -> 
  -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - (6*z^2)/a^10 + (8*z^2)/a^8 + 
   (11*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (17*z^4)/a^8 + 
   (11*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40213] -> 1 + 2/a^4 - 3/a^2 + a^2 - 5*z^2 - z^2/a^6 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 40214] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40215] -> 
  -2 + a^(-4) + 2*a^2 - 9*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40216] -> 
  -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - 5*a^4*z^2 + 7*a^6*z^2 + 25*a^8*z^2 - 
   23*a^10*z^2 + 4*a^12*z^2 - 8*a^4*z^4 + 7*a^6*z^4 + 49*a^8*z^4 - 
   32*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 38*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 40217] -> 
  1 - 5*a^2 + 10*a^4 - 5*a^6 + 3*z^2 - 22*a^2*z^2 + 40*a^4*z^2 - 16*a^6*z^2 + 
   7*z^4 - 40*a^2*z^4 + 69*a^4*z^4 - 23*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 
   64*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 40218] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 51*z^2 + 
   (7*z^2)/a^4 - (34*z^2)/a^2 - 19*a^2*z^2 + 80*z^4 + (9*z^4)/a^4 - 
   (51*z^4)/a^2 - 26*a^2*z^4 + 69*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 40219] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - 15*a^2*z^2 + 
   7*a^4*z^2 - (2*z^4)/a^4 + (8*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40220] -> 
  5 - 2/a^2 - 2*a^2 + 15*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   7*a^2*z^2 + 22*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - 9*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 40221] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 40222] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 - a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 + 
   10*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   16*a^6*z^4 + 12*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 40223] -> -a^2 + 5*a^4 - 3*a^6 - 3*z^2 - a^2*z^2 + 
   16*a^4*z^2 - 8*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 23*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40224] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 - 
   a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 
   14*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40225] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 19*z^2 + 
   (3*z^2)/a^4 - (14*z^2)/a^2 - 7*a^2*z^2 + 38*z^4 + (5*z^4)/a^4 - 
   (26*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (4*z^6)/a^4 - (26*z^6)/a^2 - 
   13*a^2*z^6 + 26*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 40226] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 7*z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - 
   (18*z^2)/a^2 + 13*z^4 - (5*z^4)/a^6 + (26*z^4)/a^4 - (38*z^4)/a^2 + 
   13*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (43*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 40227] -> a^(-8) - 7/a^6 + 10/a^4 - 
   3/a^2 + (3*z^2)/a^8 - (19*z^2)/a^6 + (32*z^2)/a^4 - (11*z^2)/a^2 + 
   (5*z^4)/a^8 - (30*z^4)/a^6 + (51*z^4)/a^4 - (17*z^4)/a^2 + (4*z^6)/a^8 - 
   (27*z^6)/a^6 + (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + 
   (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 40228] -> 6 - 2/a^2 - 4*a^2 + a^4 + 
   16*z^2 - (4*z^2)/a^2 - 17*a^2*z^2 + 6*a^4*z^2 + 27*z^4 - (5*z^4)/a^2 - 
   37*a^2*z^4 + 13*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 43*a^2*z^6 + 13*a^4*z^6 + 
   12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 40229] -> 
  2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 - 4*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^6*z^2 - 10*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (4*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 40230] -> 
  2 + a^(-6) - 2/a^4 + a^2 - a^4 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 40231] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 + z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40232] -> 8 - a^(-2) - 11*a^2 + 5*a^4 + 49*z^2 - 
   (15*z^2)/a^2 - 56*a^2*z^2 + 18*a^4*z^2 + 95*z^4 - (31*z^4)/a^2 - 
   85*a^2*z^4 + 18*a^4*z^4 + 86*z^6 - (24*z^6)/a^2 - 56*a^2*z^6 + 7*a^4*z^6 + 
   41*z^8 - (8*z^8)/a^2 - 17*a^2*z^8 + a^4*z^8 + 10*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40233] -> 
  -2/a^6 + 3/a^4 - 4*z^2 + (6*z^2)/a^8 - (13*z^2)/a^6 + (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - (20*z^4)/a^6 - (2*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40234] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 18*z^2 - (8*z^2)/a^2 - 8*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 + 26*z^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 23*a^4*z^4 + 5*a^6*z^4 + 
   19*z^6 - (6*z^6)/a^2 + 11*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40235] -> a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40236] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 + (5*z^2)/a^8 - (11*z^2)/a^6 + 
   (8*z^2)/a^4 + z^2/a^2 - 3*z^4 + (8*z^4)/a^8 - (20*z^4)/a^6 + (4*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40237] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 10*z^2 - (4*z^2)/a^2 - 11*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 19*z^4 - (8*z^4)/a^2 - 6*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 40238] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - (3*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 40239] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40240] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 2*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (15*z^4)/a^6 - z^4/a^4 + 
   (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40241] -> 
  2 - 6*a^2 + 9*a^4 - 4*a^6 + 7*z^2 - 23*a^2*z^2 + 27*a^4*z^2 - 8*a^6*z^2 + 
   13*z^4 - 42*a^2*z^4 + 39*a^4*z^4 - 9*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 
   32*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 40242] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 9*z^2 - (5*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 14*z^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 40243] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40244] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 - (4*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 10*z^4 - z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 8*z^6 - z^6/a^4 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 
   2*a^2*z^8, Knot[15, Alternating, 40245] -> 4 - 5*a^2 + a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 13*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40246] -> -1 + 2/a^2 - a^2 + a^6 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 40247] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 40248] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 16*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (17*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 26*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (23*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40249] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 
   15*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 40250] -> 
  1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (16*z^2)/a^4 - (7*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (15*z^4)/a^4 - (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (9*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40251] -> -1 + a^(-4) + a^4 - z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 40252] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - 
   4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 40253] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40254] -> a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 40255] -> 4 + a^(-4) - a^(-2) - 7*a^2 + 4*a^4 + 
   7*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 15*a^2*z^2 + 4*a^4*z^2 + 
   8*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - 10*a^2*z^4 + a^4*z^4 + 
   5*z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 40256] -> a^(-4) - 2*a^4 + 2*a^6 - 
   (2*z^2)/a^6 + z^2/a^4 - 2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 40257] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40258] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40259] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40260] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 
   a^6*z^2 + 6*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 40261] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40262] -> 
  -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40263] -> a^(-6) - a^(-2) + a^4 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 40264] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 40265] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - (2*z^2)/a^6 + z^2/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 17*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (12*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40266] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40267] -> a^2 + a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + 13*a^2*z^4 - 7*a^4*z^4 - 3*a^6*z^4 + 
   2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40268] -> 2/a^8 - 6/a^6 + 5/a^4 + (9*z^2)/a^8 - 
   (27*z^2)/a^6 + (25*z^2)/a^4 - (6*z^2)/a^2 + (18*z^4)/a^8 - (56*z^4)/a^6 + 
   (47*z^4)/a^4 - (11*z^4)/a^2 + (17*z^6)/a^8 - (58*z^6)/a^6 + (40*z^6)/a^4 - 
   (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + 
   z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 40269] -> 1 + 2/a^8 - 6/a^6 + 6/a^4 - 2/a^2 - z^2 + 
   (6*z^2)/a^8 - (17*z^2)/a^6 + (13*z^2)/a^4 - z^2/a^2 - 3*z^4 + 
   (8*z^4)/a^8 - (22*z^4)/a^6 + (8*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40270] -> 2 - 2*a^2 + a^4 + 3*z^2 - 7*a^2*z^2 + 
   3*a^4*z^2 + 5*z^4 - 17*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 + 8*z^6 - 
   25*a^2*z^6 + 20*a^4*z^6 - 4*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 11*a^4*z^8 - 
   a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 40271] -> 1 + 2/a^4 - 3/a^2 + a^2 + 14*z^2 + 
   (7*z^2)/a^4 - (20*z^2)/a^2 - 4*a^2*z^2 + 33*z^4 + (13*z^4)/a^4 - 
   (41*z^4)/a^2 - 8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 
   5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 40272] -> 
  3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 17*z^4 - (5*z^4)/a^2 - 
   13*a^2*z^4 + 4*a^4*z^4 + 25*z^6 - (8*z^6)/a^2 - 20*a^2*z^6 + 4*a^4*z^6 + 
   19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40273] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (10*z^2)/a^2 + 7*z^4 - (10*z^4)/a^6 + (31*z^4)/a^4 - (27*z^4)/a^2 + 
   5*z^6 - (12*z^6)/a^6 + (39*z^6)/a^4 - (29*z^6)/a^2 + z^8 - (6*z^8)/a^6 + 
   (25*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 40274] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 - 3*z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40275] -> 
  -1 + a^(-2) + a^2 + 9*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 
   29*z^4 + (9*z^4)/a^4 - (28*z^4)/a^2 - 8*a^2*z^4 + 30*z^6 + (12*z^6)/a^4 - 
   (38*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 40276] -> -1 + a^(-2) + a^2 - 5*z^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 8*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40277] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 3*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40278] -> a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 6*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40279] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 + (5*z^2)/a^8 - (11*z^2)/a^6 + 
   (8*z^2)/a^4 + z^2/a^2 - 3*z^4 + (8*z^4)/a^8 - (20*z^4)/a^6 + (4*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40280] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 - 10*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40281] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 6*a^4*z^2 - 
   7*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 + 
   6*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + 6*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 40282] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   z^6/a^6 - z^6/a^4 - (10*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 40283] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 6*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (12*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + (6*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40284] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   15*z^2 + (5*z^2)/a^2 + 13*a^2*z^2 - 2*a^6*z^2 - 21*z^4 + (8*z^4)/a^2 + 
   9*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 40285] -> -a^(-14) + 5/a^12 - 8/a^10 + 
   2/a^8 + 3/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - (17*z^2)/a^10 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - z^4/a^14 + (15*z^4)/a^12 - (17*z^4)/a^10 - 
   (14*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40286] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + 
   z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40287] -> -1 + a^(-2) + a^2 + 11*z^2 - (4*z^2)/a^2 - 
   12*a^2*z^2 + 4*a^4*z^2 + 36*z^4 - (12*z^4)/a^2 - 32*a^2*z^4 + 8*a^4*z^4 + 
   43*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 40288] -> a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40289] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 11*z^2 - 
   35*a^2*z^2 + 39*a^4*z^2 - 12*a^6*z^2 + 21*z^4 - 66*a^2*z^4 + 59*a^4*z^4 - 
   13*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 40290] -> -3 + a^(-2) + 4*a^2 - a^6 - 
   15*z^2 + (6*z^2)/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 20*z^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40291] -> 
  8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 11*z^2 + (7*z^2)/a^4 - (18*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40292] -> 3 + 2/a^4 - 4/a^2 + z^2 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40293] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - (8*z^4)/a^6 - (9*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40294] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40295] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - (13*z^4)/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (9*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40296] -> 
  a^2 + a^4 - a^6 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   z^4 + z^4/a^2 - 4*a^2*z^4 + 13*a^4*z^4 - 5*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40297] -> 
  a^2 + a^6 - a^8 - z^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + a^8*z^2 - 3*z^4 + 
   6*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 
   3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40298] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - z^2 + 3*a^2*z^2 + 23*z^4 - (8*z^4)/a^2 - 
   22*a^2*z^4 + 7*a^4*z^4 + 37*z^6 - (12*z^6)/a^2 - 29*a^2*z^6 + 5*a^4*z^6 + 
   25*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40299] -> 
  2*a^2 - a^4 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 40300] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + z^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40301] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - z^4/a^2 + 12*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40302] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40303] -> 2 - a^(-2) + a^2 - a^4 + 14*z^2 - 
   (5*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 37*z^4 - (12*z^4)/a^2 - 
   31*a^2*z^4 + 8*a^4*z^4 + 43*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40304] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 - z^2 + 10*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 - 
   3*z^4 + 5*a^2*z^4 + 6*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 + 4*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40305] -> 6 - 2/a^2 - 4*a^2 + a^4 + 9*z^2 - z^2/a^4 - 
   z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   10*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40306] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40307] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 
   8*a^4*z^2 - 13*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 2*a^2*z^4 + a^4*z^4 - 
   13*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 8*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40308] -> 
  3 - 5*a^2 + 4*a^4 - a^6 + z^2 + z^2/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 9*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 40309] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   2*a^2*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + z^4 - 4*a^4*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40310] -> 
  2*a^2 - 2*a^6 + a^8 + 5*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + a^2*z^4 + 
   8*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 7*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 40311] -> -2/a^10 + a^(-8) + 2/a^6 + z^2 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40312] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - z^2/a^6 + (7*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40313] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - z^4/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 4*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 40314] -> 
  -1 - a^(-6) + 3/a^2 - 7*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40315] -> 4 - a^(-4) - 2*a^2 + 22*z^2 + (2*z^2)/a^4 - 
   (12*z^2)/a^2 - 9*a^2*z^2 + 46*z^4 + (5*z^4)/a^4 - (28*z^4)/a^2 - 
   16*a^2*z^4 + 48*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 40316] -> -a^(-4) + 2/a^2 + 4*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 12*z^4 - (5*z^4)/a^6 + 
   (24*z^4)/a^4 - (33*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - 
   (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 40317] -> 
  -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (32*z^4)/a^4 - (12*z^4)/a^2 + (4*z^6)/a^8 - 
   (25*z^6)/a^6 + (42*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + 
   (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 40318] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) - z^2 + (2*z^2)/a^4 + z^2/a^2 - 5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40319] -> 4 - a^(-4) - 2*a^2 + 16*z^2 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + 37*z^4 + (4*z^4)/a^4 - (21*z^4)/a^2 - 
   13*a^2*z^4 + 43*z^6 + (4*z^6)/a^4 - (25*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 40320] -> -1 - 2/a^4 + 4/a^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 40321] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (15*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + 
   (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40322] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   13*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 40323] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40324] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 + a^6*z^2 + 7*z^4 - (4*z^4)/a^2 - 
   8*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40325] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40326] -> 1 + 2/a^4 - 3/a^2 + a^2 + 8*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 - 2*a^2*z^2 + 26*z^4 + (10*z^4)/a^4 - 
   (32*z^4)/a^2 - 7*a^2*z^4 + 29*z^6 + (12*z^6)/a^4 - (39*z^6)/a^2 - 
   5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 40327] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 6*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 
   3*a^2*z^2 + 7*z^4 + (5*z^4)/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40328] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 - 6*a^2*z^2 + 22*a^4*z^2 - 18*a^6*z^2 + 
   5*a^8*z^2 - 13*a^2*z^4 + 41*a^4*z^4 - 34*a^6*z^4 + 8*a^8*z^4 - 
   13*a^2*z^6 + 44*a^4*z^6 - 31*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   26*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 40329] -> 3 - a^(-2) - a^2 + 15*z^2 - 
   (5*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 37*z^4 - (12*z^4)/a^2 - 
   32*a^2*z^4 + 8*a^4*z^4 + 43*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40330] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 - 2*a^4*z^2 + 
   6*z^4 + (8*z^4)/a^4 - (19*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40331] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 4*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   2*a^2*z^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40332] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40333] -> 3 - a^(-2) - a^2 + 19*z^2 + (4*z^2)/a^4 - 
   (15*z^2)/a^2 - 7*a^2*z^2 + 37*z^4 + (12*z^4)/a^4 - (37*z^4)/a^2 - 
   9*a^2*z^4 + 32*z^6 + (13*z^6)/a^4 - (43*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 40334] -> 2*a^2 - a^4 - 3*a^2*z^2 + 
   8*a^4*z^2 - 4*a^6*z^2 + 8*z^4 - 24*a^2*z^4 + 28*a^4*z^4 - 8*a^6*z^4 + 
   12*z^6 - 37*a^2*z^6 + 30*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 
   13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 40335] -> 1 - 2*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - 7*z^4 + (4*z^4)/a^2 + a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40336] -> 
  3 - a^(-2) - a^2 + 13*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + 
   30*z^4 + (9*z^4)/a^4 - (28*z^4)/a^2 - 8*a^2*z^4 + 30*z^6 + (12*z^6)/a^4 - 
   (38*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 40337] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40338] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   13*z^2 + (5*z^2)/a^2 + 8*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 20*z^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   3*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40339] -> 
  2 - a^(-6) + a^(-4) - a^2 - 2*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40340] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 - (5*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40341] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40342] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 40343] -> 
  -1 + 3*a^2 - a^6 - 5*z^2 + z^2/a^2 + 5*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 12*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40344] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 5*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   5*z^4 + 10*a^2*z^4 + 2*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 
   10*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40345] -> 4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^4 - 
   7*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 10*a^2*z^4 + 
   3*a^4*z^4 + 5*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40346] -> 2 - 2*a^2 + a^4 + 9*z^2 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (8*z^4)/a^4 - (18*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40347] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^2 - 
   9*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 
   13*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 8*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40348] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   10*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40349] -> -2/a^6 + 3/a^4 + z^2/a^12 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (4*z^4)/a^10 - 
   (8*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^12 - (7*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 40350] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40351] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 - z^2/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40352] -> -a^(-4) + 2/a^2 - 4*z^2 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + (2*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 
   5*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40353] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   4*z^2 - z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40354] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40355] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 40356] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + (3*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40357] -> 3 - 5*a^2 + 4*a^4 - a^6 + 3*z^2 - 
   9*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40358] -> a^(-2) - a^2 + a^4 + 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40359] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40360] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 40361] -> 3 - 5*a^2 + 4*a^4 - a^6 + 4*z^2 - 
   11*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4 + z^4/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 40362] -> 
  a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 6*a^4*z^2 - 9*a^6*z^2 + 6*a^8*z^2 - 
   a^10*z^2 + z^4 - 3*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40363] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 + z^4/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40364] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 3*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40365] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40366] -> 2 + a^(-4) - 2/a^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^6 - z^4/a^2 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40367] -> 2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - 
   (13*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40368] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 - 3*a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 40369] -> -2 + a^(-2) + 3*a^2 - a^4 + 
   6*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 32*z^4 - (11*z^4)/a^2 - 
   30*a^2*z^4 + 8*a^4*z^4 + 42*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40370] -> 
  10 + 2/a^4 - 8/a^2 - 2*a^2 - a^4 + 17*z^2 + (10*z^2)/a^4 - (26*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 5*z^4 + (13*z^4)/a^4 - (32*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (6*z^6)/a^4 - (21*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40371] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40372] -> 1 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40373] -> 2*a^2 - a^4 + a^2*z^2 + 4*z^4 - 12*a^2*z^4 + 
   12*a^4*z^4 - 4*a^6*z^4 + 8*z^6 - 24*a^2*z^6 + 20*a^4*z^6 - 4*a^6*z^6 + 
   5*z^8 - 19*a^2*z^8 + 11*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 40374] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + 
   z^4/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40375] -> -2 + 2/a^2 + a^4 - 7*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*z^4 - z^4/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - z^6/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40376] -> 
  2 + a^(-4) - 2/a^2 + z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40377] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + a^2*z^2 + 6*a^4*z^2 - 7*a^6*z^2 + 
   2*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 4*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40378] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   9*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - 6*z^4 + 13*a^2*z^4 - 
   a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 40379] -> 3 - a^(-2) - a^2 + z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40380] -> 
  1 + z^2 + z^2/a^8 - (2*z^2)/a^4 + z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40381] -> 3 + a^(-6) - 3/a^2 + z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40382] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^4 - 
   z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 40383] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (14*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40384] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 9*z^2 + 
   (4*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   8*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 40385] -> a^(-4) - a^(-2) + a^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40386] -> a^2 + a^6 - a^8 - a^2*z^2 + 7*a^4*z^2 - 
   5*a^6*z^2 + 2*a^8*z^2 - 9*a^2*z^4 + 27*a^4*z^4 - 25*a^6*z^4 + 7*a^8*z^4 - 
   12*a^2*z^6 + 38*a^4*z^6 - 29*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 40387] -> a^2 + a^4 - a^6 - a^2*z^2 + 
   7*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + a^2*z^4 + 9*a^4*z^4 - 
   11*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40388] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 7*z^4 + 16*a^2*z^4 - 
   8*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 2*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 40389] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40390] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 40391] -> 2 - 2*a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - a^4*z^2 - 5*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40392] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40393] -> 1 + a^(-6) - 2/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40394] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40395] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 - (2*z^2)/a^6 + (9*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^6 + (9*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40396] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (8*z^2)/a^2 + a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40397] -> 
  1 + 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 40398] -> 
  2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40399] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^2 + z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 40400] -> a^2 + a^4 - a^6 + z^2 - 
   3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 
   7*a^6*z^4 + 2*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 3*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40401] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 40402] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40403] -> 1 + a^(-6) - 2/a^2 + a^2 + z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 40404] -> a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40405] -> -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 40406] -> a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40407] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40408] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40409] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + (2*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 
   6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40410] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + a^4*z^2 - z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40411] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40412] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 40413] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40414] -> 2 - a^(-10) + 5/a^8 - 6/a^6 + 2/a^4 - 
   a^(-2) + 3*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (10*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (10*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40415] -> a^(-8) - 2/a^4 + a^(-2) + a^2 - 2*z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 40416] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40417] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 7*a^4*z^2 - 
   6*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 40418] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 5*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + (3*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40419] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + 2*z^2 - 
   2*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40420] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40421] -> 
  -4 + 3/a^2 + a^2 + a^4 - 8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40422] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40423] -> a^(-6) - a^(-4) + a^2 + 2*z^2 + z^2/a^8 - 
   (4*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 4*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 40424] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40425] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 40426] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 40427] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   11*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 14*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 40428] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40429] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - 
   z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + a^8*z^2 + z^4 + 
   (2*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 40430] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40431] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 40432] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   4*z^2 + 11*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40433] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   z^4 + z^4/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40434] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 6*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (10*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40435] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   z^2 + z^2/a^8 - (5*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 40436] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40437] -> -a^(-4) + 2/a^2 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - a^4*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 40438] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 40439] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40440] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 8*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 29*a^2*z^4 - 
   23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 40441] -> -2 + 6*a^2 - 3*a^4 - 10*z^2 + z^2/a^2 + 
   23*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 14*z^4 + (2*z^4)/a^2 + 
   32*a^2*z^4 - 21*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   20*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 40442] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   9*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40443] -> 
  -1 + a^(-2) + a^2 + z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 40444] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40445] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 40446] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 40447] -> 
  a^4 + a^6 - a^10 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 
   2*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 - 
   5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 40448] -> a^4 + 2*a^6 - 2*a^8 + 4*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   3*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 40449] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (14*z^2)/a^6 - (21*z^2)/a^4 + (13*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - (31*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (19*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 40450] -> 2*a^2 - a^4 - z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 18*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 40451] -> 3*a^2 - 3*a^4 + a^6 + 3*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 3*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40452] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 - z^2 + 
   z^2/a^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 40453] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   z^2 + a^4*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 
   2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40454] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 40455] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   7*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40456] -> 2 - a^(-10) + 4/a^8 - 4/a^6 + a^(-4) - 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40457] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 2*z^2 - 
   z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40458] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 40459] -> -2 + 2/a^2 + a^4 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40460] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40461] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40462] -> 
  -1 + 3*a^2 - a^6 - 8*z^2 + (3*z^2)/a^2 + 4*a^2*z^2 + 9*a^4*z^2 - 
   5*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40463] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + z^2/a^4 + 
   10*a^2*z^2 - 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 40464] -> 
  1 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40465] -> 
  -1 + a^(-2) + a^2 + z^2 - z^2/a^4 - a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40466] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40467] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + (15*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - (30*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (19*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 40468] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   7*z^2 - (2*z^2)/a^8 + (8*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 40469] -> 
  -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 40470] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - z^2/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   z^4/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40471] -> 2 - 3*a^2 + 5*a^4 - 5*a^6 + 2*a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40472] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   z^2/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 40473] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 2*a^4*z^2 - 
   9*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40474] -> 
  -2 + 6*a^2 - 3*a^4 - 7*z^2 + z^2/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40475] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - (2*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + (6*z^4)/a^2 - 12*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 40476] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 40477] -> 
  -2 + a^(-4) + 2*a^2 - 11*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 
   7*a^2*z^2 - 19*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (11*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40478] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   6*z^4 - z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 40479] -> 
  5 + 2/a^4 - 5/a^2 - 2*a^2 + 2*a^4 - a^6 + 7*z^2 + (5*z^2)/a^4 - 
   (12*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 40480] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 40481] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 40482] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40483] -> 1 + a^(-6) - 2/a^2 + a^2 + z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 40484] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 40485] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + a^4*z^2 - 
   3*z^4 - z^4/a^8 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 40486] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40487] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40488] -> -3 + a^(-4) + a^(-2) + 2*a^2 - a^4 + a^6 - 
   6*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 5*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   2*z^4 - z^4/a^6 + (5*z^4)/a^4 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 40489] -> -3 + 3/a^2 - a^2 + 2*a^4 - 4*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 11*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 40490] -> 
  -3 + 3/a^2 + a^6 - 3*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40491] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40492] -> 
  a^2 + a^6 - a^8 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 
   a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 40493] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40494] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 4*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 
   5*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40495] -> a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40496] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + z^2 - 
   a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40497] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40498] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40499] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (2*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40500] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40501] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40502] -> 1 + z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 + z^4/a^8 - (3*z^4)/a^6 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40503] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 4*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 + z^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 
   5*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 40504] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 40505] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   10*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 - 6*z^4 + 14*a^2*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40506] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 8*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40507] -> -4 + 2/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 40508] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + z^2/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (15*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40509] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40510] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (11*z^2)/a^6 + (3*z^4)/a^12 - (9*z^4)/a^10 - (2*z^4)/a^8 + 
   (13*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + 
   (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 40511] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (3*z^2)/a^10 + z^2/a^8 + (12*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40512] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + z^2/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (6*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40513] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (17*z^4)/a^4 - (2*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (11*z^6)/a^4 - (8*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 40514] -> -3 - 4/a^4 + 8/a^2 - 3*z^2 + (3*z^2)/a^6 - 
   (13*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (19*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 40515] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40516] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 40517] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (19*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 - 
   (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (5*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40518] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (17*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + 
   (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (4*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40519] -> -1 + 3*a^2 - a^6 - 6*z^2 + 
   12*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 6*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40520] -> -2 - a^(-4) + 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 
   16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 24*z^4 - z^4/a^4 + (10*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 40521] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 18*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (22*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40522] -> 2*a^4 - a^8 - 2*a^2*z^2 + 
   6*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   7*a^6*z^4 - 5*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   6*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 40523] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (30*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (18*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 40524] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40525] -> -3 + 2/a^2 + 2*a^2 - 16*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40526] -> 2 - a^2 - a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40527] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   4*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 
   13*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 40528] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   13*z^2 + (2*z^2)/a^4 + 19*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40529] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40530] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 40531] -> 5*a^2 - 6*a^4 + a^6 + a^8 - 
   6*z^2 + 17*a^2*z^2 - 14*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 9*z^4 + 
   23*a^2*z^4 - 8*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 
   3*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40532] -> 
  -2 + 6*a^2 - 3*a^4 - 13*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 20*z^4 + (8*z^4)/a^2 + 10*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 
   15*z^6 + (5*z^6)/a^2 - 2*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40533] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40534] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (3*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (15*z^4)/a^10 + (10*z^4)/a^8 + (20*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (9*z^6)/a^10 + (10*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40535] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - 
   (9*z^4)/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (4*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40536] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^4)/a^12 - (8*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 40537] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - 
   (4*z^4)/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 40538] -> -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 
   4*z^2 + 11*a^2*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   5*a^4*z^4 - 17*a^6*z^4 + 8*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40539] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + 11*a^4*z^2 - 
   7*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40540] -> -1 + 4*a^2 - 2*a^4 - z^2/a^2 + 8*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40541] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 5*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   12*a^2*z^2 + 7*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 - 
   19*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40542] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 16*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 40543] -> 
  -a^(-4) + 2/a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40544] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 10*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   2*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40545] -> -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 40546] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 - (8*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 40547] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 10*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (22*z^4)/a^4 + (28*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40548] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 41*z^2 + (5*z^2)/a^4 - (27*z^2)/a^2 - 
   16*a^2*z^2 + 74*z^4 + (8*z^4)/a^4 - (46*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + 
   (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 40549] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + 
   (5*z^2)/a^8 - (27*z^2)/a^6 + (42*z^2)/a^4 - (15*z^2)/a^2 + (8*z^4)/a^8 - 
   (46*z^4)/a^6 + (74*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + 
   (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 40550] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (20*z^2)/a^4 - z^2/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (21*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40551] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 21*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (9*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 40552] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 20*z^2 - (9*z^2)/a^6 + (40*z^2)/a^4 - 
   (52*z^2)/a^2 + 33*z^4 - (12*z^4)/a^6 + (66*z^4)/a^4 - (98*z^4)/a^2 + 
   24*z^6 - (6*z^6)/a^6 + (48*z^6)/a^4 - (87*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (16*z^8)/a^4 - (41*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 40553] -> a^(-12) - 8/a^10 + 10/a^8 - 
   2/a^6 + (7*z^2)/a^12 - (40*z^2)/a^10 + (59*z^2)/a^8 - (15*z^2)/a^6 + 
   (11*z^4)/a^12 - (64*z^4)/a^10 + (105*z^4)/a^8 - (29*z^4)/a^6 + 
   (6*z^6)/a^12 - (47*z^6)/a^10 + (89*z^6)/a^8 - (23*z^6)/a^6 + z^8/a^12 - 
   (16*z^8)/a^10 + (41*z^8)/a^8 - (8*z^8)/a^6 - (2*z^10)/a^10 + 
   (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 40554] -> 
  a^(-12) - 7/a^10 + 8/a^8 - a^(-6) + (4*z^2)/a^12 - (20*z^2)/a^10 + 
   (23*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + 
   (26*z^4)/a^8 + (16*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + 
   (16*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40555] -> 2 - 2/a^6 + 7/a^4 - 7/a^2 + a^2 - 4*z^2 - 
   (5*z^2)/a^6 + (21*z^2)/a^4 - (20*z^2)/a^2 + 6*a^2*z^2 - 14*z^4 - 
   (4*z^4)/a^6 + (23*z^4)/a^4 - (24*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (16*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40556] -> 
  a^(-12) - 6/a^10 + 6/a^8 + (3*z^2)/a^12 - (15*z^2)/a^10 + (15*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (16*z^4)/a^10 + (16*z^4)/a^8 + 
   (19*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (11*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 40557] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40558] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 10*z^2 - (4*z^2)/a^8 + (15*z^2)/a^6 - 
   (7*z^2)/a^4 - (16*z^2)/a^2 + 12*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - 
   (14*z^4)/a^4 - (26*z^4)/a^2 + 6*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (13*z^6)/a^4 - (19*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 40559] -> 
  -3/a^10 + 2/a^8 + 3/a^6 - a^(-4) + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (9*z^2)/a^8 + (18*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (19*z^4)/a^10 + 
   (15*z^4)/a^8 + (27*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + 
   (13*z^6)/a^8 + (19*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40560] -> -2/a^10 + 4/a^6 - a^(-4) + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + z^2/a^8 + (13*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + z^4/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40561] -> 
  1 - a^(-8) + 3/a^6 - a^(-4) - 2/a^2 + a^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (11*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - z^4/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40562] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - (3*z^4)/a^8 + (15*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (8*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40563] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 40564] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 8*z^2 + z^2/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 23*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 40565] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 40566] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 22*z^2 - (6*z^2)/a^2 - 30*a^2*z^2 + 
   11*a^4*z^2 + 57*z^4 - (19*z^4)/a^2 - 56*a^2*z^4 + 13*a^4*z^4 + 61*z^6 - 
   (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 40567] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 3*a^2*z^2 + 
   18*a^4*z^2 - 23*a^6*z^2 + 9*a^8*z^2 - 16*a^2*z^4 + 48*a^4*z^4 - 
   49*a^6*z^4 + 12*a^8*z^4 - 17*a^2*z^6 + 56*a^4*z^6 - 41*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 40568] -> 
  2*a^2 - 2*a^6 + a^8 - z^2 + 3*a^2*z^2 + 4*a^4*z^2 - 11*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 6*a^2*z^4 + 9*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40569] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) + 
   (17*z^2)/a^8 - (47*z^2)/a^6 + (42*z^2)/a^4 - (10*z^2)/a^2 + (30*z^4)/a^8 - 
   (92*z^4)/a^6 + (71*z^4)/a^4 - (15*z^4)/a^2 + (23*z^6)/a^8 - (83*z^6)/a^6 + 
   (52*z^6)/a^4 - (7*z^6)/a^2 + (8*z^8)/a^8 - (40*z^8)/a^6 + (17*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (10*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 40570] -> 2/a^8 - 6/a^6 + 5/a^4 - 3*z^2 + 
   (10*z^2)/a^8 - (23*z^2)/a^6 + (11*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (12*z^4)/a^8 - (31*z^4)/a^6 + (3*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (6*z^6)/a^8 - (20*z^6)/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (7*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40571] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 4*z^2 + 
   (7*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - 
   (20*z^4)/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (15*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40572] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (4*z^4)/a^8 - (8*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - (7*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40573] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 3*z^2 + 
   (8*z^2)/a^8 - (16*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - 
   (22*z^4)/a^6 - (5*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (15*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40574] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40575] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 14*a^2*z^2 + 
   46*a^4*z^2 - 43*a^6*z^2 + 13*a^8*z^2 - 29*a^2*z^4 + 89*a^4*z^4 - 
   74*a^6*z^4 + 16*a^8*z^4 - 23*a^2*z^6 + 82*a^4*z^6 - 53*a^6*z^6 + 
   7*a^8*z^6 - 8*a^2*z^8 + 40*a^4*z^8 - 17*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   10*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 40576] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 4*z^2 + 4*a^2*z^2 + 15*a^4*z^2 - 21*a^6*z^2 + 
   7*a^8*z^2 - 8*z^4 + 12*a^2*z^4 + 18*a^4*z^4 - 25*a^6*z^4 + 5*a^8*z^4 - 
   5*z^6 + 13*a^2*z^6 + 14*a^4*z^6 - 12*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40577] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 6*z^2 + 
   11*a^2*z^2 + 4*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 9*z^4 + 19*a^2*z^4 + 
   7*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 9*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40578] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (7*z^2)/a^8 - (7*z^2)/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - (6*z^4)/a^10 + (12*z^4)/a^8 - (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (12*z^6)/a^8 + (5*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 40579] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 6*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - (7*z^4)/a^6 + (13*z^4)/a^4 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (13*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40580] -> a^(-8) - 2/a^6 + 2/a^2 + 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40581] -> 3 - 3*a^2 + a^6 + 8*z^2 - (3*z^2)/a^2 - 
   5*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 14*z^4 - (7*z^4)/a^2 + a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40582] -> 1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - z^2/a^4 - 
   4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40583] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40584] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (6*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40585] -> 4*a^4 - 3*a^6 - a^8 + a^10 - 4*a^2*z^2 + 
   14*a^4*z^2 - 4*a^6*z^2 - 11*a^8*z^2 + 6*a^10*z^2 - 10*a^2*z^4 + 
   20*a^4*z^4 + 3*a^6*z^4 - 21*a^8*z^4 + 5*a^10*z^4 - 6*a^2*z^6 + 
   17*a^4*z^6 + 10*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^2*z^8 + 7*a^4*z^8 + 
   6*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 40586] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - z^2 + 
   a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   8*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 40587] -> 2*a^2 - a^6 - a^8 + a^10 - 2*z^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   3*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 40588] -> -2/a^6 + 3/a^4 - 3*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (14*z^4)/a^6 - (2*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (7*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40589] -> -a^(-4) + 2/a^2 + 2*z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40590] -> 3 - a^(-2) - a^2 + 5*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + (7*z^4)/a^4 - (13*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40591] -> 1 + 2*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 40592] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40593] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   6*z^4 - (2*z^4)/a^6 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40594] -> 3*a^4 - 2*a^6 + z^2 - 4*a^2*z^2 + 
   6*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 6*z^4 - 11*a^2*z^4 + a^4*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 12*a^2*z^6 - 6*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 40595] -> a^2 + a^4 - a^6 - a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 40596] -> 
  2*a^2 - a^4 - z^2 + a^2*z^2 + 2*a^4*z^2 - a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40597] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40598] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 13*z^2 - z^2/a^6 + (6*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40599] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 2*z^2 + 
   7*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40600] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 24*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 17*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 40601] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 36*z^2 + (9*z^2)/a^4 - (32*z^2)/a^2 - 
   12*a^2*z^2 + 58*z^4 + (20*z^4)/a^4 - (62*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (62*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 40602] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 9*z^2 - 
   31*a^2*z^2 + 37*a^4*z^2 - 12*a^6*z^2 + 20*z^4 - 62*a^2*z^4 + 58*a^4*z^4 - 
   13*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 40603] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 
   z^2 + z^2/a^2 - 12*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + 
   (5*z^4)/a^2 - 14*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40604] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 15*z^2 + (6*z^2)/a^4 - (19*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40605] -> 2*a^4 - 5*a^6 + 9*a^8 - 5*a^10 + 
   15*a^4*z^2 - 39*a^6*z^2 + 50*a^8*z^2 - 17*a^10*z^2 + 29*a^4*z^4 - 
   84*a^6*z^4 + 79*a^8*z^4 - 17*a^10*z^4 + 23*a^4*z^6 - 81*a^6*z^6 + 
   54*a^8*z^6 - 7*a^10*z^6 + 8*a^4*z^8 - 40*a^6*z^8 + 17*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 40606] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 4*a^2*z^2 - 
   a^4*z^2 - 10*a^6*z^2 + 23*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 11*a^4*z^4 - 
   16*a^6*z^4 + 26*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 
   14*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40607] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 4*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   16*a^8*z^2 - 6*a^10*z^2 + 8*a^2*z^4 - 14*a^4*z^4 - 7*a^6*z^4 + 
   19*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 9*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40608] -> 
  a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 7*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 + 
   16*a^8*z^2 - 7*a^10*z^2 + 11*a^2*z^4 - 22*a^4*z^4 - 5*a^6*z^4 + 
   23*a^8*z^4 - 5*a^10*z^4 + 6*a^2*z^6 - 18*a^4*z^6 - 11*a^6*z^6 + 
   12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40609] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 2*z^2 + a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 
   2*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 - 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40610] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 2*z^2 + 
   a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   2*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 8*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 40611] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40612] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 11*z^2 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 18*z^4 - (3*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 12*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 40613] -> a^(-12) - 2/a^10 + 2/a^4 + (3*z^2)/a^12 - 
   (7*z^2)/a^10 + (6*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (11*z^4)/a^10 + 
   (2*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (5*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40614] -> -a^(-4) + 2/a^2 - (3*z^2)/a^10 + 
   (9*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (15*z^4)/a^8 - (9*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40615] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   z^2/a^16 - (7*z^2)/a^14 + (3*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^4)/a^16 - (4*z^4)/a^14 + (15*z^4)/a^12 + (24*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 40616] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   z^2/a^16 - (3*z^2)/a^14 + (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - z^4/a^14 + (6*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 40617] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + (2*z^2)/a^16 - (13*z^2)/a^14 + (23*z^2)/a^10 + (2*z^2)/a^8 - 
   z^4/a^16 - (12*z^4)/a^14 + (15*z^4)/a^12 + (32*z^4)/a^10 + (5*z^4)/a^8 - 
   z^6/a^16 - z^6/a^14 + (15*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 40618] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (12*z^4)/a^6 + (11*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40619] -> -4 + 3/a^2 + a^2 + a^4 - 10*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 - (2*z^4)/a^6 + (7*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 40620] -> 
  a^2 + a^6 - a^8 + 3*z^2 - 4*a^2*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 11*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 10*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 40621] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 3*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40622] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 4*a^2*z^2 + 7*a^4*z^2 - 13*a^6*z^2 + 
   5*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40623] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + z^2/a^12 - (8*z^2)/a^10 + (7*z^2)/a^8 + 
   (9*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + 
   (14*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + (7*z^6)/a^8 + 
   (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 40624] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40625] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + 19*a^2*z^2 - 18*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 30*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 19*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 40626] -> 
  a^6 + 4*a^8 - 5*a^10 + a^12 - 3*a^4*z^2 + 7*a^6*z^2 + 16*a^8*z^2 - 
   14*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 12*a^6*z^4 + 
   20*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 40627] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (12*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (11*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40628] -> 3*a^4 - 2*a^6 - 2*z^2 + 2*a^2*z^2 + 
   8*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 3*a^4*z^4 - 
   11*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 40629] -> 3 - a^(-2) - a^2 - z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 40630] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 
   9*z^2 - z^2/a^4 + (2*z^2)/a^2 - 21*a^2*z^2 + 9*a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40631] -> 
  a^(-12) - 6/a^10 + 6/a^8 + (3*z^2)/a^12 - (17*z^2)/a^10 + (21*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + (23*z^4)/a^8 + 
   (10*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (13*z^6)/a^8 + 
   (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 40632] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 3*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 
   11*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 17*a^2*z^4 + 
   4*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40633] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 3*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 40634] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 
   2*z^2 - z^2/a^2 + 7*a^2*z^2 + 2*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 
   (2*z^4)/a^2 + 10*a^2*z^4 + a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40635] -> 1 + a^(-6) - 2/a^2 + a^2 - 4*z^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 40636] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 40637] -> 
  -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^8 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40638] -> 
  2*a^2 - a^6 - a^8 + a^10 - z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 40639] -> -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (12*z^2)/a^8 - (12*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (13*z^4)/a^8 - (6*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40640] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - 
   a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40641] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40642] -> a^(-10) - 2/a^8 + 2/a^6 - 3/a^4 + 3/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (21*z^4)/a^6 - 
   (28*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 40643] -> -a^(-14) + 4/a^12 - 6/a^10 + 
   a^(-8) + 3/a^6 - (2*z^2)/a^14 + (13*z^2)/a^12 - (16*z^2)/a^10 - z^2/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (19*z^4)/a^10 - 
   (9*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40644] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 + z^2/a^2 - 
   6*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   13*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40645] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40646] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40647] -> 
  3 - a^(-6) + 6/a^4 - 8/a^2 + a^2 - 2*z^2 - (6*z^2)/a^6 + (18*z^2)/a^4 - 
   (17*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (9*z^4)/a^6 + (23*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40648] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 2*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 + 
   18*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 5*a^4*z^4 - 14*a^6*z^4 + 
   20*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 11*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40649] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - z^2/a^16 - (11*z^2)/a^14 + 
   (6*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 - (3*z^4)/a^16 - (7*z^4)/a^14 + 
   (21*z^4)/a^12 + (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (17*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 40650] -> 
  -4/a^12 + 4/a^10 + a^(-8) - (2*z^2)/a^16 - (3*z^2)/a^14 - (3*z^2)/a^12 + 
   (17*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^16 - (2*z^4)/a^14 + 
   (11*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 40651] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^16 - (3*z^2)/a^14 - z^2/a^12 + 
   (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (6*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 40652] -> -2/a^10 + 2/a^8 + a^(-4) - (4*z^2)/a^10 + 
   (8*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (12*z^4)/a^8 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40653] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 12*a^2*z^4 + 
   2*a^4*z^4 - 13*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 40654] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 
   2*z^2 + (5*z^2)/a^8 - (8*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40655] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40656] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + (6*z^2)/a^12 - (8*z^2)/a^10 - 
   z^2/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (12*z^4)/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40657] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 12*a^4*z^2 + 
   5*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40658] -> a^(-6) - 3/a^4 + 3/a^2 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40659] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40660] -> 
  1 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 40661] -> -1 + a^(-2) + a^2 - z^2 - 
   z^2/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 40662] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40663] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 5*z^2 - 
   z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (8*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40664] -> 
  -4 - 2/a^6 + a^(-4) + 5/a^2 + a^2 - 15*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - (4*z^4)/a^6 + (17*z^4)/a^4 - z^4/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40665] -> -3 - 2/a^6 + 6/a^2 - 9*z^2 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (18*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - 
   (14*z^4)/a^6 + (9*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40666] -> -2 - a^(-8) + 2/a^4 + a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   4*z^4 - z^4/a^8 + (5*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 40667] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 40668] -> -1 + a^(-2) + a^2 + 9*z^2 - (2*z^2)/a^2 - 
   14*a^2*z^2 + 6*a^4*z^2 + 33*z^4 - (11*z^4)/a^2 - 35*a^2*z^4 + 9*a^4*z^4 + 
   42*z^6 - (13*z^6)/a^2 - 32*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 40669] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 38*z^2 - 
   (13*z^2)/a^2 - 38*a^2*z^2 + 11*a^4*z^2 + 74*z^4 - (24*z^4)/a^2 - 
   61*a^2*z^4 + 13*a^4*z^4 + 68*z^6 - (19*z^6)/a^2 - 44*a^2*z^6 + 6*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40670] -> 
  -2 + a^(-4) + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 14*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40671] -> 2 - 3*a^4 + 2*a^6 + 11*z^2 - (6*z^2)/a^2 - 
   13*a^4*z^2 + 5*a^6*z^2 + 19*z^4 - (9*z^4)/a^2 + 6*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40672] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40673] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40674] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 6*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40675] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 + 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40676] -> -2/a^8 + 2/a^6 + a^(-4) + z^2 - z^2/a^10 + 
   (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40677] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 - 
   z^2/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 - (2*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40678] -> 2*a^2 - a^4 - 4*z^2 + 11*a^2*z^2 - 
   6*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 11*a^4*z^4 - 
   7*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 9*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 40679] -> 2 - 4*a^2 + 6*a^4 - 4*a^6 + 
   a^8 + 5*z^2 - (2*z^2)/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 9*a^6*z^2 + 
   3*a^8*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40680] -> 
  -2 - 3/a^4 + 6/a^2 - z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 
   2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - 
   5*a^2*z^4 + 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40681] -> -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40682] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (3*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (11*z^4)/a^8 - (8*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40683] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40684] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 + (7*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - 
   z^4/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 40685] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 
   2*a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   15*a^6*z^4 - 10*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   10*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 40686] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40687] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (9*z^4)/a^8 + 
   (8*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40688] -> 2 - a^(-10) + 4/a^8 - 5/a^6 + 3/a^4 - 
   2/a^2 + 3*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40689] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40690] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40691] -> 
  -1 + 4*a^2 - 2*a^4 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40692] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40693] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (13*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40694] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 - z^2/a^12 + 
   (7*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (3*z^4)/a^12 + (6*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40695] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40696] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2 + 
   z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 
   z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40697] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40698] -> -2 + 5*a^2 - a^4 - a^6 - 6*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 14*a^2*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   15*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40699] -> -a^(-4) + 3/a^2 - 2*a^2 + a^6 + z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 - 10*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - z^4/a^4 + 
   (6*z^4)/a^2 - 13*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40700] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 40701] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 40702] -> 
  a^(-12) - 6/a^10 + 7/a^8 - 2/a^6 + a^(-4) + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   (14*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (10*z^4)/a^8 + (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 40703] -> -1 + 3*a^2 - a^6 - 2*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40704] -> -a^(-10) - a^(-8) + 3/a^6 - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40705] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 40706] -> 
  1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 5*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + 
   (7*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (4*z^4)/a^8 - 
   (11*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40707] -> 1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + 5*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 11*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 8*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 40708] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40709] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 5*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + (3*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40710] -> 1 + a^4 - a^6 - a^8 + a^10 + z^2 - z^2/a^2 + 
   a^4*z^2 - a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 40711] -> -1 - a^(-6) + 3/a^2 + 2*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 40712] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + a^4*z^2 - 3*z^4 - z^4/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 40713] -> 
  1 + z^2 - z^2/a^2 + a^6*z^2 - a^8*z^2 + z^4/a^4 + a^4*z^4 + 2*a^6*z^4 - 
   2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 40714] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40715] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 40716] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 2*z^2 - 3*a^2*z^2 + 7*a^4*z^2 - 
   9*a^6*z^2 + 12*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 
   8*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40717] -> a^2 - a^4 + 2*a^6 - a^10 + z^2/a^2 - 
   a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 
   3*a^4*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 40718] -> -1 - a^(-6) + 2/a^4 + a^2 - 8*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + 
   (12*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 40719] -> 
  -2/a^14 + 2/a^10 + a^(-8) - (2*z^2)/a^16 - (6*z^2)/a^14 + (5*z^2)/a^12 + 
   (14*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^16 - (3*z^4)/a^14 + 
   (16*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 40720] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - z^2/a^16 - (4*z^2)/a^14 + z^2/a^12 + 
   (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (7*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 40721] -> a^(-16) - 4/a^14 + 4/a^10 - (12*z^2)/a^14 + 
   (6*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - (9*z^4)/a^14 + 
   (19*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 40722] -> -1 + 4*a^2 - 2*a^4 - z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 40723] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (13*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40724] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 
   a^2*z^2 + 2*a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 12*a^6*z^4 - 6*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 40725] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + 
   a^12*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 40726] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 4*z^2 + 
   12*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - 8*z^4 + 19*a^2*z^4 - 
   6*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 3*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 40727] -> -1 + 2/a^2 - a^2 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40728] -> a^(-16) - 4/a^14 + 4/a^10 - (2*z^2)/a^16 - 
   (10*z^2)/a^14 + (8*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^4)/a^16 - (6*z^4)/a^14 + (22*z^4)/a^12 + (30*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (17*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 40729] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - 
   z^2/a^16 - (8*z^2)/a^14 + (4*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + (11*z^4)/a^12 + (19*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 40730] -> 
  -3/a^12 + 3/a^10 + a^(-6) - (2*z^2)/a^14 - (2*z^2)/a^12 + (11*z^2)/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (4*z^4)/a^12 + 
   (9*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40731] -> -3/a^12 + 2/a^10 + 2/a^8 - (4*z^2)/a^14 - 
   (2*z^2)/a^12 + (10*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (5*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 40732] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40733] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - (10*z^2)/a^14 + 
   (3*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + 
   (16*z^4)/a^12 + (28*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 40734] -> -2/a^10 + a^(-8) + 3/a^6 - 
   2/a^4 + a^(-2) - (4*z^2)/a^10 + (7*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40735] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (11*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (4*z^4)/a^8 + 
   (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40736] -> -1 + a^(-8) - a^(-6) - 3/a^4 + 5/a^2 - 
   3*z^2 + (6*z^2)/a^8 - (7*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 + 
   (9*z^4)/a^8 - (17*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40737] -> -2/a^10 + 5/a^6 - 3/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (7*z^2)/a^8 + (12*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (14*z^4)/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40738] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - z^2/a^16 - (7*z^2)/a^14 + (3*z^2)/a^12 + (13*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + (10*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 40739] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (5*z^4)/a^6 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 40740] -> -a^(-14) + a^(-12) + a^(-10) - 
   3/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - 
   (11*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40741] -> -a^(-2) + 5*a^2 - 3*a^4 + z^2/a^4 - 
   (4*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 - z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40742] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40743] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40744] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40745] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + z^2/a^10 + z^2/a^8 - (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 40746] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 10*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 11*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 40747] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 - a^2*z^4 + 4*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40748] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 - a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40749] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40750] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 40751] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + 
   3*a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 
   17*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40752] -> -2 + 5*a^2 - a^4 - a^6 - 4*z^2 - z^2/a^2 + 
   12*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   12*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 40753] -> 
  5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + (8*z^2)/a^4 - (19*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + (10*z^4)/a^4 - (25*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 5*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40754] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 
   11*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   7*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 40755] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 - a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - 
   2*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 40756] -> 3/a^4 - 4/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 40757] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 6*z^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40758] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - z^2 - 
   2*a^2*z^2 + 16*a^4*z^2 - 15*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 2*a^2*z^4 + 
   15*a^4*z^4 - 15*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 9*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 40759] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - 7*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   10*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 40760] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 + 
   a^4*z^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40761] -> 3 - 4*a^2 + a^4 + 2*a^6 - a^8 + z^2/a^2 - 
   3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 40762] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + 
   a^4 - 7*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 40763] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40764] -> -2 + a^(-4) + 2*a^2 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40765] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40766] -> 
  -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 11*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 40767] -> -2/a^6 + 3/a^4 - 2*z^2 + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (14*z^4)/a^6 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40768] -> 
  -1 - 2/a^4 + 4/a^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40769] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 9*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 14*z^4 - (2*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 + 10*z^6 - z^6/a^4 + z^6/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + 
   z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 40770] -> 
  -a^(-14) + a^(-10) - a^(-8) + 2/a^6 - (3*z^2)/a^14 + (6*z^2)/a^12 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40771] -> 
  -a^(-14) + a^(-12) - a^(-10) + 2/a^6 - z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (4*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 40772] -> -a^(-10) + 2/a^6 - a^(-4) + 
   a^(-2) + z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40773] -> -2/a^12 + a^(-10) + a^(-8) + a^(-6) - 
   z^2/a^14 - z^2/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^12 + (4*z^4)/a^10 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 40774] -> a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + 
   z^2/a^12 - (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40775] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + 4*z^4 + z^4/a^2 - 10*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 9*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 40776] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   8*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 + 23*a^4*z^4 - 10*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   10*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40777] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + 
   (19*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (18*z^4)/a^4 + z^4/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40778] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40779] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - 5*a^4*z^2 + 
   13*a^6*z^2 + 9*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 7*a^4*z^4 + 
   20*a^6*z^4 + 14*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   14*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 40780] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - 4*z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40781] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (15*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (15*z^4)/a^10 + 
   (19*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + 
   (12*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40782] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   z^2/a^12 - (7*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40783] -> -a^4 + 4*a^6 + a^8 - 4*a^10 + a^12 - 
   a^2*z^2 - 3*a^4*z^2 + 11*a^6*z^2 + 13*a^8*z^2 - 14*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 14*a^6*z^4 + 20*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 40784] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 16*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 9*a^2*z^4 + 
   6*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40785] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^10 - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   z^4/a^10 - (9*z^4)/a^8 + (21*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40786] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40787] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 4*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - (16*z^4)/a^6 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40788] -> 
  4 - 5*a^2 + a^4 + a^6 + 10*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 - 9*a^4*z^2 + 
   5*a^6*z^2 + 16*z^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40789] -> -2/a^6 + 3/a^4 + 3*z^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 40790] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40791] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 4*z^2 - 13*a^2*z^2 + 15*a^4*z^2 - 4*a^6*z^2 + 
   (2*z^4)/a^2 - 13*a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 
   8*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40792] -> 
  a^(-2) - a^4 + a^6 + 3*z^2 - z^2/a^4 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40793] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - (11*z^2)/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (12*z^4)/a^12 - (13*z^4)/a^10 - 
   (16*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40794] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + 13*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 
   10*a^6*z^4 + 18*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   10*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40795] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + z^2 - a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 
   7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40796] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 + 3*a^2*z^2 - 11*a^4*z^2 + 16*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 17*a^4*z^4 + 13*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40797] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 40798] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 - z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 9*z^4 - z^4/a^6 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 4*z^6 + z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6, 
 Knot[15, Alternating, 40799] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - 
   (8*z^2)/a^14 + (2*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 40800] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 
   4*z^2 + z^2/a^6 - (7*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40801] -> -3/a^8 + 4/a^6 - z^2/a^14 + (2*z^2)/a^12 + 
   z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40802] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 40803] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40804] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - 
   6*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*z^6 - z^6/a^2 - 4*a^2*z^6 - 2*a^4*z^6, 
 Knot[15, Alternating, 40805] -> 6 - a^(-2) - 6*a^2 + a^4 + a^6 + 9*z^2 - 
   z^2/a^4 + z^2/a^2 - 15*a^2*z^2 + 3*a^6*z^2 + 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 15*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40806] -> 3 - a^(-2) - a^2 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 40807] -> 4*a^4 - 4*a^6 + a^8 - z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40808] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + 
   z^2/a^12 - (6*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40809] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 4*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40810] -> 
  -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (13*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 40811] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   3*z^2 - (3*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40812] -> a^4 - a^6 + 5*a^8 - 5*a^10 + a^12 - 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 10*a^8*z^2 - 8*a^10*z^2 + a^12*z^2 - 
   z^4 - a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 40813] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 + a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40814] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 6*z^2 - 
   z^2/a^4 + z^2/a^2 - 10*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 11*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40815] -> 1 - 2*a^2 + 6*a^4 - 6*a^6 + 2*a^8 + 3*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 11*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40816] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 + 
   z^2/a^12 - (8*z^2)/a^10 + (14*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (10*z^4)/a^8 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 40817] -> 
  1 + a^2 - a^4 - a^6 + a^8 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   5*a^6*z^2 + 2*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 40818] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 + (2*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40819] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 40820] -> a^(-4) - a^2 + a^6 - z^2/a^6 - 3*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 40821] -> -1 - 2/a^4 + 4/a^2 + z^2/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 40822] -> 
  a^(-2) - a^4 + a^6 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 40823] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) - 
   z^2/a^10 + (2*z^2)/a^8 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 40824] -> 
  3 + 4/a^4 - 7/a^2 + a^2 - z^2 - (2*z^2)/a^8 + (10*z^2)/a^4 - (14*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 40825] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 40826] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40827] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + z^2 + 
   a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40828] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40829] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 - z^2 + z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 40830] -> 1 + a^(-10) - 2/a^8 + 2/a^6 - 2/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 40831] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + a^(-6) + a^(-4) - z^2/a^14 + 
   (8*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 40832] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40833] -> 1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 2*z^2 - 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (10*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 40834] -> 1 - a^(-10) + 5/a^8 - 7/a^6 + 
   3/a^4 + 2*z^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 40835] -> 
  4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + z^2 - 3*a^2*z^2 + 10*a^4*z^2 - 
   11*a^6*z^2 + 9*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 6*a^4*z^4 - 
   8*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40836] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2 + (6*z^2)/a^8 - (12*z^2)/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (16*z^4)/a^6 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40837] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + (3*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40838] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - 
   (15*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (17*z^4)/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40839] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 + (4*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 40840] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40841] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 40842] -> 
  a^2 + a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   3*a^2*z^6 + 6*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40843] -> 
  1 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40844] -> 
  -a^(-14) + 2/a^10 - 2/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + (6*z^2)/a^12 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - z^4/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40845] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (7*z^2)/a^10 - 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (11*z^4)/a^10 + 
   z^4/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40846] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (7*z^2)/a^14 + (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (8*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 40847] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^10 + (10*z^4)/a^8 - (4*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40848] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40849] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 + z^4 - z^4/a^10 - 
   z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 - z^6/a^10 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40850] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - z^2/a^14 + (7*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (5*z^4)/a^12 - (5*z^4)/a^10 - (10*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 40851] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 2*z^2 - (5*z^2)/a^6 + (15*z^2)/a^4 - 
   (15*z^2)/a^2 + a^2*z^2 - 5*z^4 - (7*z^4)/a^6 + (19*z^4)/a^4 - 
   (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (13*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40852] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40853] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 + 
   3*a^4*z^2 - 7*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 3*a^4*z^4 - 
   11*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 8*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 40854] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (6*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + (9*z^4)/a^8 - (22*z^4)/a^6 + (3*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (16*z^6)/a^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40855] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 40856] -> 
  a^(-8) - 4/a^4 + 4/a^2 + z^2 - z^2/a^10 + z^2/a^8 + (6*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (11*z^4)/a^6 - 
   (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 40857] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 40858] -> -2/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40859] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 + (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 - 
   2*a^2*z^4 + 5*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 
   4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40860] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + 
   z^4/a^8 - z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40861] -> 
  -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 3*z^2 + (5*z^2)/a^8 - (11*z^2)/a^6 + 
   z^2/a^4 + (9*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (14*z^4)/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40862] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40863] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 + 
   8*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 17*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 40864] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 40865] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40866] -> -1 + 5*a^2 - 4*a^4 + a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 14*z^4 + (5*z^4)/a^2 + 12*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40867] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 - z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40868] -> 
  -2/a^10 + a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + z^2 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40869] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 43*z^2 + (7*z^2)/a^4 - (31*z^2)/a^2 - 
   16*a^2*z^2 + 75*z^4 + (9*z^4)/a^4 - (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 40870] -> 5 - 2/a^2 - 2*a^2 + 13*z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 40871] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + z^2/a^2 + 14*a^4*z^2 - 7*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + a^2*z^4 + 22*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40872] -> 
  14 + a^(-4) - 8/a^2 - 6*a^2 + 55*z^2 + (7*z^2)/a^4 - (36*z^2)/a^2 - 
   21*a^2*z^2 + 88*z^4 + (9*z^4)/a^4 - (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 40873] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 16*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 40874] -> 
  a^(-8) - 9/a^6 + 14/a^4 - 5/a^2 + (7*z^2)/a^8 - (36*z^2)/a^6 + 
   (56*z^2)/a^4 - (20*z^2)/a^2 + (9*z^4)/a^8 - (54*z^4)/a^6 + (88*z^4)/a^4 - 
   (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + (74*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 40875] -> 
  8 - 2/a^2 - 8*a^2 + 3*a^4 + 33*z^2 - (8*z^2)/a^2 - 41*a^2*z^2 + 
   15*a^4*z^2 + 51*z^4 - (9*z^4)/a^2 - 74*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - 
   (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 40876] -> 2*a^2 - a^4 - z^2/a^2 + 8*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   15*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40877] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 8*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (8*z^2)/a^4 + (14*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (12*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40878] -> -3 - a^(-4) + 4/a^2 + a^4 - 10*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - 13*z^4 - 
   (3*z^4)/a^4 + (17*z^4)/a^2 - 17*a^2*z^4 + 9*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40879] -> 
  a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 7*a^2*z^2 + 29*a^4*z^2 - 35*a^6*z^2 + 
   12*a^8*z^2 - 20*a^2*z^4 + 61*a^4*z^4 - 58*a^6*z^4 + 13*a^8*z^4 - 
   18*a^2*z^6 + 62*a^4*z^6 - 43*a^6*z^6 + 6*a^8*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 40880] -> 4*a^2 - 4*a^4 + a^8 - 5*z^2 + 
   14*a^2*z^2 - 8*a^4*z^2 - 8*a^6*z^2 + 5*a^8*z^2 - 9*z^4 + 19*a^2*z^4 - 
   17*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 8*a^4*z^6 - 10*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 40881] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 37*z^2 + 
   (13*z^2)/a^4 - (39*z^2)/a^2 - 11*a^2*z^2 + 61*z^4 + (24*z^4)/a^4 - 
   (74*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + (19*z^6)/a^4 - (68*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 40882] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 6*z^2 + (7*z^2)/a^4 - (17*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 2*z^4 + (9*z^4)/a^4 - (21*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40883] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 2*z^2 + 
   (5*z^2)/a^8 - (10*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (14*z^4)/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40884] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 9*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40885] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^4 - z^4/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 40886] -> 
  1 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 40887] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 48*z^2 + (13*z^2)/a^4 - (43*z^2)/a^2 - 
   15*a^2*z^2 + 67*z^4 + (24*z^4)/a^4 - (75*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + 
   (19*z^6)/a^4 - (68*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 40888] -> 5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + 
   (6*z^2)/a^4 - (15*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + 
   (9*z^4)/a^4 - (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40889] -> 
  2 - 8*a^2 + 13*a^4 - 6*a^6 + 13*z^2 - 42*a^2*z^2 + 49*a^4*z^2 - 
   15*a^6*z^2 + 24*z^4 - 75*a^2*z^4 + 67*a^4*z^4 - 14*a^6*z^4 + 19*z^6 - 
   68*a^2*z^6 + 45*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 40890] -> -3 + a^(-2) + 2*a^2 + 4*a^4 - 3*a^6 - 
   13*z^2 + (6*z^2)/a^2 + 2*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 19*z^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40891] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40892] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 6*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (11*z^2)/a^2 - 7*z^4 + z^4/a^8 - (7*z^4)/a^6 + (8*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (8*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40893] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40894] -> -1 + 4*a^2 - 2*a^4 - 9*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (14*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 40895] -> 
  4*a^6 - 3*a^8 - a^2*z^2 - a^4*z^2 + 10*a^6*z^2 + 4*a^8*z^2 - 7*a^10*z^2 + 
   a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 + 13*a^8*z^4 - 10*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 40896] -> 
  3*a^4 - 2*a^6 - 6*z^2 + z^2/a^2 + 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40897] -> 
  5 - 2/a^2 - 2*a^2 + 7*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 40898] -> 
  4 - a^(-4) - 2*a^2 + 8*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   5*a^2*z^2 + 11*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - 
   6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40899] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 5*a^4*z^2 + 
   11*a^6*z^2 + 15*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 7*a^4*z^4 + 
   19*a^6*z^4 + 18*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   14*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 40900] -> 6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 3*a^2*z^2 + 
   12*a^4*z^2 - 21*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 6*a^4*z^4 - 
   25*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 40901] -> 1 - a^2 + 4*a^4 - 5*a^6 + 
   2*a^8 + 2*z^2 - z^2/a^2 + 3*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40902] -> 2 + a^(-4) - 2/a^2 + 13*z^2 - (4*z^2)/a^6 + 
   (21*z^2)/a^4 - (31*z^2)/a^2 + 24*z^4 - (8*z^4)/a^6 + (44*z^4)/a^4 - 
   (69*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (67*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 40903] -> 
  a^(-4) - a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 
   6*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (10*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40904] -> 2 + a^(-6) - a^(-4) - a^(-2) + 7*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (6*z^2)/a^4 - (10*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (11*z^4)/a^4 - (19*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 40905] -> a^(-6) - a^(-4) + a^2 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 40906] -> 3*a^2 - 2*a^4 - a^6 + a^8 - z^2/a^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   16*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40907] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 + z^2/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (21*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40908] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - 
   4*z^2 + 10*a^2*z^2 - 2*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 8*z^4 + 
   16*a^2*z^4 + 3*a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 
   8*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40909] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + 2*z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 40910] -> 
  2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + z^2 + (6*z^2)/a^4 - (14*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40911] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 - 5*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 40912] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40913] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 9*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40914] -> 4*a^2 - 5*a^4 + 2*a^6 + 6*z^2 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 15*z^4 - (8*z^4)/a^2 + 
   8*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 40915] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (12*z^4)/a^10 - 
   (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40916] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 3*z^2 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40917] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40918] -> 
  3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 - z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 
   13*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40919] -> -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (16*z^2)/a^10 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - 
   (14*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40920] -> -a^(-10) + 6/a^8 - 9/a^6 + 3/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (18*z^2)/a^8 - (19*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   (8*z^4)/a^10 + (22*z^4)/a^8 - (13*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 40921] -> 1 - a^(-10) + 5/a^8 - 6/a^6 + a^(-4) + 
   a^(-2) + 2*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40922] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 7*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 - 9*a^4*z^2 + 
   5*a^6*z^2 + 15*z^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 40923] -> -1 + 2/a^2 - a^2 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40924] -> -4 + a^(-2) + 6*a^2 - a^4 - a^6 - 17*z^2 + 
   (6*z^2)/a^2 + 14*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 23*z^4 + (9*z^4)/a^2 + 
   8*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 40925] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 - z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 40926] -> 
  2 - 2*a^4 + a^8 + 5*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   2*a^8*z^2 + 7*z^4 - (3*z^4)/a^2 + 3*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 
   4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 40927] -> a^(-2) - a^4 + a^6 + z^2 - 
   z^2/a^6 + z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 40928] -> 1 + z^2 + z^2/a^8 - z^2/a^6 - 
   z^2/a^4 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 40929] -> a^2 + a^6 - a^8 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - a^8*z^2 - a^10*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 40930] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 10*z^2 - (10*z^2)/a^6 + (31*z^2)/a^4 - 
   (33*z^2)/a^2 + 12*z^4 - (21*z^4)/a^6 + (64*z^4)/a^4 - (55*z^4)/a^2 + 
   6*z^6 - (18*z^6)/a^6 + (63*z^6)/a^4 - (42*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 40931] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + 
   a^2 - 2*z^2 - (7*z^2)/a^6 + (18*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (9*z^4)/a^6 + (24*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40932] -> a^(-6) - a^(-4) + a^2 - 6*z^2 + 3*a^2*z^2 - 
   12*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40933] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   6*z^2 - z^2/a^6 + (2*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40934] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (8*z^4)/a^6 + 
   (15*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40935] -> 
  -1 + a^(-4) + a^4 - 6*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (8*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 40936] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - 18*a^2*z^2 + 21*a^4*z^2 - 7*a^6*z^2 + 
   12*z^4 - 38*a^2*z^4 + 37*a^4*z^4 - 9*a^6*z^4 + 13*z^6 - 43*a^2*z^6 + 
   32*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 40937] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 - 4*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (14*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40938] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 + a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 40939] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 11*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 
   17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 14*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 40940] -> 2*a^2 - a^4 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40941] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 32*z^2 - 
   (11*z^2)/a^2 - 31*a^2*z^2 + 9*a^4*z^2 + 65*z^4 - (21*z^4)/a^2 - 
   54*a^2*z^4 + 12*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 42*a^2*z^6 + 6*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 40942] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 15*z^2 - (3*z^2)/a^4 - 19*a^2*z^2 + 
   5*a^4*z^2 + 17*z^4 - (5*z^4)/a^4 + (7*z^4)/a^2 - 19*a^2*z^4 + 4*a^4*z^4 + 
   11*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40943] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 6*z^2 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 15*z^4 - (8*z^4)/a^2 + 
   8*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 40944] -> 2 - 3*a^4 + 2*a^6 + 6*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40945] -> 2 - 5*a^2 + 6*a^4 - a^6 - a^8 + 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 40946] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 4*z^2 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 40947] -> 
  -a^(-12) + 2/a^8 - a^(-6) + a^(-2) + z^2 - z^2/a^12 + (4*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 40948] -> 
  -2 + a^(-6) - 2/a^4 + 2/a^2 + 3*a^2 - a^4 - 8*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 8*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 40949] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 10*z^2 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 40950] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^4 + 5*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40951] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + 
   z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40952] -> 
  a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 40953] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 - 
   z^4/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 40954] -> -4 - 3/a^4 + 7/a^2 + a^2 - 
   11*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40955] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40956] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 9*a^2*z^4 + 
   a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 40957] -> -3 + 9*a^2 - 6*a^4 + a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40958] -> 
  3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   2*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 40959] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 8*z^2 + z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 
   5*a^2*z^2 + 13*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 40960] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 40961] -> -2 + 2/a^2 + a^4 - 10*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 13*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40962] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   2*z^2 + 10*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 40963] -> 
  1 + (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + 
   (5*z^4)/a^8 - (13*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40964] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 40965] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (7*z^2)/a^6 - (21*z^2)/a^4 + 
   (20*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 + (3*z^4)/a^6 - (23*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (13*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 40966] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40967] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 40968] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 + z^2/a^10 - z^2/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + z^4/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 40969] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - z^2 + z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 
   4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 40970] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 40971] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 40972] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 40973] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40974] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 40975] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 40976] -> 2 - 2*a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 12*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 40977] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   4*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 40978] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 40979] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40980] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 
   15*a^4*z^4 + 17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 40981] -> 2*a^2 - a^4 + a^6 - 2*a^8 + 
   a^10 + 2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 - 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 40982] -> 
  2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 - z^2 + (2*z^2)/a^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 40983] -> -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 5*z^2 + 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 40984] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40985] -> 1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 40986] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (9*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 40987] -> -4 + 3/a^2 + a^2 + a^4 - 6*z^2 - 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 40988] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 40989] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + (7*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 40990] -> 2*a^2 - a^4 + z^2 + z^2/a^2 - 3*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4 + (2*z^4)/a^2 - 10*a^2*z^4 - 2*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - 
   z^8 - 3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 40991] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 40992] -> a^2 - a^4 + 5*a^6 - 6*a^8 + 2*a^10 - z^2 + 
   7*a^2*z^2 - 16*a^4*z^2 + 25*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   12*a^2*z^4 - 27*a^4*z^4 + 30*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 18*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 40993] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 40994] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 5*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 40995] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 
   16*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 40996] -> 1 + a^2 - 2*a^4 + a^6 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 40997] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) + 
   (5*z^2)/a^8 - (12*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 2*z^4 + (6*z^4)/a^8 - 
   (17*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (12*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 40998] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (7*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - (14*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 40999] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + (4*z^4)/a^4 - (11*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41000] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 41001] -> -1 - a^(-8) + a^(-6) - a^(-4) + 
   3/a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41002] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - (3*z^2)/a^6 + 
   z^2/a^4 + (10*z^2)/a^2 + a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41003] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 8*z^2 - (6*z^2)/a^6 + (13*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (7*z^4)/a^6 + (17*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41004] -> 
  -4 + 3/a^2 + a^2 + a^4 - 9*z^2 - (2*z^2)/a^6 - z^2/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (11*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41005] -> 
  2*a^2 - a^4 - 3*z^2 + 9*a^2*z^2 - 6*a^4*z^2 + a^8*z^2 - 6*z^4 + 
   15*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 
   a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 41006] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 11*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 41007] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   10*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 41008] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 2*z^2 + 
   (5*z^2)/a^4 - (12*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + (7*z^4)/a^4 - 
   (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41009] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 2*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 41010] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 41011] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41012] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - (4*z^2)/a^2 - z^4/a^8 + 
   (2*z^4)/a^6 - (5*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41013] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + z^2 - z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41014] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 41015] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 - z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41016] -> 
  2 - a^(-2) + a^2 - a^4 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 7*z^4 + z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41017] -> 
  1 + 7*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - a^6*z^4 + 2*z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41018] -> 1 - 2/a^4 + 3/a^2 - a^2 + 5*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41019] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 - z^4 + z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41020] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 22*z^4 + z^4/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 41021] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (17*z^4)/a^4 + (24*z^4)/a^2 + a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41022] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41023] -> 2 - a^(-8) + a^(-6) - a^2 + 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41024] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 - 
   z^2/a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41025] -> 
  a^2 + a^4 - a^6 + 5*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 
   2*z^6 - (2*z^6)/a^2 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41026] -> -5 + 3/a^2 + 3*a^2 - 15*z^2 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (21*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 41027] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 17*a^2*z^2 - 
   17*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 9*z^4 + z^4/a^2 + 25*a^2*z^4 - 
   20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41028] -> 1 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41029] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   5*z^2 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41030] -> 3 + a^(-6) - 2/a^4 - a^2 + 7*z^2 + z^2/a^8 - 
   z^2/a^6 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41031] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41032] -> 2*a^2 - a^4 + 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41033] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41034] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 21*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 41035] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 3*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41036] -> -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41037] -> 
  1 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41038] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41039] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 - (3*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + (20*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41040] -> -a^(-8) + 2/a^4 + z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41041] -> 
  1 + a^(-8) - 3/a^4 + 2/a^2 + z^2/a^10 + z^2/a^8 - (5*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 41042] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^12 - (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + 
   (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 41043] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 41044] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 41045] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - z^2/a^4 - 
   z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41046] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 41047] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + (4*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (5*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41048] -> a^(-12) - 6/a^10 + 6/a^8 + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41049] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41050] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) - z^2 + 
   z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 
   z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 41051] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 41052] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41053] -> 2*a^2 - a^4 - z^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 9*a^2*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41054] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 41055] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 41056] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41057] -> 
  2*a^2 - a^4 - z^2 + a^2*z^2 + 2*a^4*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 41058] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   14*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41059] -> 
  -1 + a^(-2) + a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41060] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41061] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   12*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 41062] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 2*z^2 - 
   a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 
   3*a^2*z^4 - 7*a^4*z^4 - a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41063] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   5*z^2 + z^2/a^4 + 9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 41064] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + z^2/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 
   3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 41065] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (8*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41066] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 41067] -> 
  a^(-12) - 2/a^10 + a^(-6) + a^(-2) + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (5*z^4)/a^10 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 41068] -> a^(-16) - 3/a^14 + a^(-10) + 
   2/a^8 - (6*z^2)/a^14 + z^2/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (6*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 41069] -> 1 - a^(-6) + 2/a^2 - a^2 + z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (9*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + z^4/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41070] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41071] -> a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + 
   2*a^2*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^12*z^2 - z^4 + a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 41072] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 41073] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 + a^8*z^2 - (2*z^4)/a^2 + 7*a^2*z^4 - 6*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41074] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 41075] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + 
   z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41076] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + 4*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41077] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^4*z^2 - 4*z^4 - 
   z^4/a^6 - z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41078] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41079] -> 
  a^(-2) - a^4 + a^6 + 3*z^2 - z^2/a^4 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41080] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41081] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 14*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 41082] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (9*z^2)/a^2 + a^2*z^2 - 5*z^4 - (6*z^4)/a^6 + (16*z^4)/a^4 - (6*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41083] -> 4 - 6*a^2 + 3*a^4 + 8*z^2 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - 17*a^2*z^2 + 5*a^4*z^2 + 10*z^4 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - 18*a^2*z^4 + 4*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 41084] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41085] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 + z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 41086] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (3*z^2)/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (13*z^4)/a^12 + 
   (2*z^4)/a^10 - (10*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - 
   (6*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 41087] -> -a^(-12) + 2/a^6 - (2*z^2)/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 41088] -> 
  -2/a^12 + 2/a^10 + a^(-4) - (2*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (5*z^4)/a^10 - 
   (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41089] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + 
   (4*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41090] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   17*a^2*z^2 - 4*a^4*z^2 - 22*z^4 - (3*z^4)/a^4 + (15*z^4)/a^2 + 9*a^2*z^4 + 
   a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41091] -> -2/a^8 + 5/a^4 - 2/a^2 + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + (3*z^2)/a^6 + (20*z^2)/a^4 - (9*z^2)/a^2 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (10*z^4)/a^6 + (27*z^4)/a^4 - (12*z^4)/a^2 + z^6/a^10 - 
   (11*z^6)/a^8 + (12*z^6)/a^6 + (19*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 41092] -> -a^(-8) - 2/a^6 + 6/a^4 - 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (13*z^2)/a^4 - z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (13*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41093] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 41094] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 41095] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (14*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (16*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (10*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41096] -> 
  -2/a^6 + 3/a^4 - (3*z^2)/a^10 + (15*z^2)/a^8 - (22*z^2)/a^6 + 
   (13*z^2)/a^4 - (7*z^4)/a^10 + (38*z^4)/a^8 - (58*z^4)/a^6 + (22*z^4)/a^4 - 
   (5*z^6)/a^10 + (35*z^6)/a^8 - (62*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (14*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 41097] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - (16*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (12*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41098] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - (21*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (5*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41099] -> -2 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + 
   2*a^2 - 13*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (23*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41100] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 41101] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 18*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 41102] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41103] -> 2 - 5*a^2 + 4*a^4 + 3*a^6 - 3*a^8 + 9*z^2 - 
   20*a^2*z^2 + 7*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 12*z^4 - 27*a^2*z^4 - 
   4*a^4*z^4 + 23*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 19*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 41104] -> 
  2 - 5*a^2 + 5*a^4 + a^6 - 2*a^8 + z^2 + (2*z^2)/a^2 - 10*a^2*z^2 + 
   7*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 12*a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41105] -> -2 + a^(-2) + a^2 + a^4 + 2*a^6 - 2*a^8 - 
   6*z^2 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 
   6*z^4 + (4*z^4)/a^2 - 9*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 41106] -> -2 + a^(-2) + a^2 + 2*a^4 - a^8 - 
   4*z^2 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^4 - 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 41107] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2/a^2 - 7*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 - 8*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41108] -> 
  -a^(-12) + 2/a^6 - (4*z^2)/a^14 + (6*z^2)/a^12 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 41109] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + z^2/a^10 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41110] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (10*z^2)/a^10 - (7*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 41111] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (4*z^2)/a^10 + 
   (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 41112] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   14*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41113] -> 
  -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 4*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (22*z^4)/a^6 - (23*z^4)/a^4 + (17*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 41114] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41115] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^4 + (2*z^2)/a^2 - 13*a^2*z^2 + 
   6*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 21*a^2*z^4 + 9*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41116] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 12*z^2 - 
   (5*z^2)/a^6 + (20*z^2)/a^4 - (15*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 - 
   (4*z^4)/a^6 + (22*z^4)/a^4 - (18*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (11*z^6)/a^4 - (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41117] -> 
  -1 - a^(-8) + 3/a^6 - a^(-4) - a^(-2) + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (12*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41118] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41119] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 4*a^2*z^2 - 
   a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 5*a^4*z^4 - 
   12*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41120] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 - 4*z^2 + 
   (5*z^2)/a^8 - (7*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41121] -> 2 + 2/a^8 - 4/a^6 + 3/a^4 - 2/a^2 + 6*z^2 + 
   (4*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41122] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + z^2/a^4 + 10*a^2*z^2 - 2*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41123] -> 2*a^2 - a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 41124] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41125] -> 
  -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 2*a^8 - 10*z^2 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 41126] -> -2 + a^(-2) + 2*a^2 + a^6 - 
   a^8 - 3*z^2 + z^2/a^4 + 3*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 41127] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 3*z^2 - 
   (4*z^2)/a^6 + (13*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (8*z^4)/a^6 + (19*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41128] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^6 - 
   z^2/a^4 + (8*z^2)/a^2 + a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41129] -> 
  a^(-16) - 6/a^14 + 4/a^12 + 2/a^10 - (21*z^2)/a^14 + (24*z^2)/a^12 + 
   (15*z^2)/a^10 - (6*z^4)/a^16 - (15*z^4)/a^14 + (47*z^4)/a^12 + 
   (29*z^4)/a^10 - (5*z^6)/a^16 + (3*z^6)/a^14 + (40*z^6)/a^12 + 
   (23*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + 
   z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 41130] -> 
  a^(-16) - 5/a^14 + 2/a^12 + 3/a^10 - z^2/a^16 - (10*z^2)/a^14 + 
   (8*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 - (3*z^4)/a^16 - (4*z^4)/a^14 + 
   (17*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 41131] -> 
  a^(-16) - 4/a^14 + 4/a^10 - (10*z^2)/a^14 + (4*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (6*z^4)/a^14 + (14*z^4)/a^12 + 
   (26*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (12*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 41132] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41133] -> 
  -3/a^14 + 2/a^12 + a^(-10) + a^(-8) - (3*z^2)/a^16 - (4*z^2)/a^14 + 
   (7*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^16 + (2*z^4)/a^14 + 
   (14*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + 
   (10*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 41134] -> 
  -2/a^14 + 2/a^10 + a^(-8) - (2*z^2)/a^16 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (8*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + z^4/a^14 + 
   (7*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 41135] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   z^2/a^16 - (3*z^2)/a^14 + z^2/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 + (6*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 41136] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + 
   a^10 - 3*z^2 + 10*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 11*a^8*z^2 + 
   3*a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 22*a^4*z^4 + 23*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 15*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 41137] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 - z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41138] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 - 6*z^2 + 11*a^2*z^2 + 5*a^4*z^2 - 18*a^6*z^2 + 
   7*a^8*z^2 - 11*z^4 + 21*a^2*z^4 + 10*a^4*z^4 - 24*a^6*z^4 + 5*a^8*z^4 - 
   6*z^6 + 18*a^2*z^6 + 12*a^4*z^6 - 12*a^6*z^6 + a^8*z^6 - z^8 + 7*a^2*z^8 + 
   6*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41139] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 - (2*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 8*a^2*z^6 + 
   2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41140] -> 3*a^2 - 2*a^4 - a^8 + a^10 - 3*z^2 + 
   6*a^2*z^2 - 3*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 5*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 4*a^2*z^6 + 
   8*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 41141] -> 1 + a^2 - a^4 - a^8 + a^10 - z^2/a^2 + 
   2*a^2*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 41142] -> -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41143] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (8*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (7*z^4)/a^10 - (5*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41144] -> -1 + 3*a^2 - a^6 - 6*z^2 + z^2/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 41145] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 41146] -> -2/a^10 + a^(-8) + 4/a^6 - 
   4/a^4 + 2/a^2 - (5*z^2)/a^10 + (10*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (17*z^4)/a^8 - z^4/a^6 - (20*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41147] -> 
  -a^(-12) + 2/a^8 - 2/a^4 + 2/a^2 - (2*z^2)/a^12 + (4*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (6*z^4)/a^10 + (3*z^4)/a^8 - (13*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 41148] -> 
  -4 - 2/a^6 + a^(-4) + 5/a^2 + a^2 - 11*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41149] -> 
  -2/a^10 + a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 - (5*z^2)/a^10 + (8*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (16*z^4)/a^8 + 
   (10*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41150] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 8*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41151] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 - z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (11*z^4)/a^6 - 
   (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41152] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^14 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (3*z^4)/a^10 + (3*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 - (4*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41153] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 5*z^2 + 
   z^2/a^6 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41154] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 + 
   (3*z^2)/a^2 - 9*a^2*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 - 12*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 4*z^6 - z^6/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6, Knot[15, Alternating, 41155] -> 
  -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 6*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (17*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (20*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41156] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - 2*z^2 + 4*a^2*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 41157] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 3*a^4*z^2 + 8*a^6*z^2 + 14*a^8*z^2 - 
   16*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 12*a^6*z^4 + 
   19*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 
   12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 41158] -> -4/a^6 + 7/a^4 - 2/a^2 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (15*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (13*z^4)/a^4 - z^6 - (2*z^6)/a^8 + 
   z^6/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41159] -> 1 - 3*a^2 + 7*a^4 - 5*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 14*a^4*z^2 - 9*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 9*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41160] -> 2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 - 
   a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 8*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 41161] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41162] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (4*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 41163] -> 2*a^4 - 2*a^10 + a^12 - 
   2*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 41164] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 16*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 41165] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 + (6*z^2)/a^4 - (17*z^2)/a^2 - a^2*z^2 - 
   a^4*z^2 + 8*z^4 + (7*z^4)/a^4 - (20*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41166] -> 
  3*a^6 - 3*a^10 + a^12 + a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + 
   a^12*z^2 - a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 41167] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + (6*z^4)/a^2 - 
   12*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 41168] -> -a^(-4) + 2/a^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41169] -> -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (16*z^2)/a^10 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (18*z^4)/a^10 - 
   (9*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41170] -> 2 - 5*a^2 + 6*a^4 - a^6 - a^8 + 3*z^2 + 
   z^2/a^2 - 12*a^2*z^2 + 10*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 
   12*a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41171] -> 1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (12*z^2)/a^6 + (7*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (7*z^4)/a^8 - (9*z^4)/a^6 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41172] -> -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 
   2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (8*z^2)/a^10 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 41173] -> 1 + 2/a^4 - 3/a^2 + a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 41174] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - 3*a^4*z^4 + a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41175] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 12*z^2 - (2*z^2)/a^2 - 16*a^2*z^2 + 6*a^4*z^2 + 
   6*z^4 - z^4/a^4 + (3*z^4)/a^2 - 19*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41176] -> 
  2*a^4 - a^8 - 2*z^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + 9*a^2*z^4 + 
   a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 41177] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41178] -> -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - 2*z^4 + (6*z^4)/a^8 - (16*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41179] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 - z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41180] -> 6*a^4 - 8*a^6 + 3*a^8 - 5*z^2 + 6*a^2*z^2 + 
   13*a^4*z^2 - 20*a^6*z^2 + 6*a^8*z^2 - 7*z^4 + 12*a^2*z^4 + 16*a^4*z^4 - 
   21*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 12*a^4*z^6 - 10*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41181] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   4*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41182] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41183] -> 
  a^2 + 3*a^4 - 4*a^6 + a^10 - z^2 - a^2*z^2 + 10*a^4*z^2 - 8*a^6*z^2 - 
   3*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - z^6 + 2*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 41184] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 3*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - 
   (16*z^2)/a^2 + a^2*z^2 - 4*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41185] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (9*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41186] -> 1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41187] -> 
  a^(-16) - 4/a^14 + 4/a^10 - z^2/a^16 - (6*z^2)/a^14 + (4*z^2)/a^12 + 
   (12*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + 
   (9*z^4)/a^12 + (14*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 41188] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41189] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41190] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - z^2/a^16 - (2*z^2)/a^14 + 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 41191] -> -a^(-12) + 2/a^10 - 3/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41192] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 13*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (17*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + z^6/a^4 + (11*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 41193] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 13*a^4*z^2 + 
   13*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 41194] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 - 5*z^4 + 14*a^2*z^4 - 12*a^4*z^4 - 
   2*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41195] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (9*z^4)/a^2 + a^2*z^4 - 4*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 41196] -> 2*a^2 - a^4 + a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 41197] -> -2 + 6*a^2 - 3*a^4 - 10*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41198] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 4*a^2*z^2 - a^4*z^2 - 6*a^6*z^2 + 
   14*a^8*z^2 - 4*a^10*z^2 + 6*a^2*z^4 - 11*a^4*z^4 - 8*a^6*z^4 + 
   14*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 41199] -> a^2 - 2*a^4 + 4*a^6 - a^8 - 
   a^10 + 2*z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 
   2*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41200] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (9*z^4)/a^8 - (6*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41201] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41202] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41203] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41204] -> 
  -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41205] -> a^(-2) - a^4 + a^6 - 6*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 41206] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 
   17*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 41207] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 41208] -> 
  -1 - 2/a^4 + 4/a^2 - 11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (16*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 41209] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41210] -> -2 + 2/a^2 + a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41211] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41212] -> -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41213] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 2*a^2*z^2 + 
   13*a^4*z^2 - 19*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 7*a^4*z^4 - 
   24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 41214] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 
   z^2 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41215] -> 3 - 3*a^2 + a^6 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 41216] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 19*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 41217] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 6*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 41218] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 - 5*z^4 + 10*a^2*z^4 + a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41219] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2/a^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41220] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (6*z^2)/a^4 - 
   (14*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (7*z^4)/a^4 - 
   (17*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41221] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 - 2*z^2 + (5*z^2)/a^8 - (9*z^2)/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (14*z^4)/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41222] -> 
  2 + 2/a^8 - 4/a^6 + 3/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41223] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 3*z^2 + 4*a^2*z^2 + 9*a^4*z^2 - 13*a^6*z^2 + 
   4*a^8*z^2 - 6*z^4 + 11*a^2*z^4 + 8*a^4*z^4 - 14*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41224] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - a^4*z^2 + 
   13*a^6*z^2 - 6*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 
   15*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 - 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 41225] -> -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (18*z^2)/a^8 - (18*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   (8*z^4)/a^10 + (22*z^4)/a^8 - (13*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41226] -> 1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41227] -> 
  -3 + a^(-6) - 3/a^4 + 4/a^2 + 3*a^2 - a^4 - 12*z^2 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41228] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (6*z^4)/a^10 - (7*z^4)/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (7*z^6)/a^10 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 41229] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 6*z^2 - (5*z^2)/a^6 + (8*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 10*z^4 - (7*z^4)/a^6 + (14*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41230] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - z^2/a^14 + (5*z^2)/a^10 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 41231] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (13*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41232] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 41233] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 41234] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - 5*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 41235] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 - 
   2*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + 
   (7*z^4)/a^4 - (15*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41236] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 4*z^2 + 8*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 + 
   4*a^8*z^2 - 7*z^4 + 14*a^2*z^4 + 5*a^4*z^4 - 14*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 12*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41237] -> 1 + a^6 - 2*a^8 + a^10 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41238] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41239] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 20*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 22*a^2*z^4 - 23*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41240] -> 1 + z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 + (6*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41241] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - 
   z^2/a^6 - (3*z^2)/a^2 - z^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (4*z^6)/a^4 + z^6/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 41242] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - z^4/a^6 - 
   (7*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41243] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41244] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41245] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 - z^2/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   z^2/a^6 + z^2/a^2 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 - z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 41246] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 7*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 
   5*z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 41247] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41248] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 41249] -> 1 + 4*z^2 - z^2/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 2*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41250] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 5*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 41251] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41252] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 
   20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41253] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41254] -> 
  2*a^2 - a^4 - 6*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (5*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 
   6*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 41255] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   6*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41256] -> 
  -2/a^10 + a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (16*z^4)/a^4 + (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41257] -> -a^(-12) + 2/a^8 - 2/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 + z^4/a^8 - (9*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 41258] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 
   4*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + z^4/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41259] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + 6*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + 
   (13*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 41260] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 11*z^2 - (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 + 17*z^4 - (3*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 11*z^6 - z^6/a^4 + (2*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 41261] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 7*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 
   17*a^2*z^2 - 7*a^4*z^2 + 2*z^4 + (4*z^4)/a^4 - (16*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + 8*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41262] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (6*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (16*z^4)/a^8 - z^4/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41263] -> -a^(-4) + 2/a^2 + 10*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 4*a^2*z^2 + 33*z^4 + (5*z^4)/a^4 - (24*z^4)/a^2 - 
   12*a^2*z^4 + 42*z^6 + (4*z^6)/a^4 - (26*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 41264] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + 
   z^2/a^8 - z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - (4*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41265] -> 
  -a^(-4) + 2/a^2 + 6*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - (13*z^2)/a^2 + 
   15*z^4 - (5*z^4)/a^6 + (27*z^4)/a^4 - (41*z^4)/a^2 + 14*z^6 - 
   (4*z^6)/a^6 + (27*z^6)/a^4 - (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 41266] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 
   9*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (14*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 41267] -> 
  2/a^8 - 6/a^6 + 5/a^4 - (5*z^2)/a^10 + (24*z^2)/a^8 - (36*z^2)/a^6 + 
   (18*z^2)/a^4 - (8*z^4)/a^10 + (46*z^4)/a^8 - (72*z^4)/a^6 + (26*z^4)/a^4 - 
   (5*z^6)/a^10 + (37*z^6)/a^8 - (68*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + 
   (14*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 41268] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - (10*z^4)/a^6 - 
   (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (10*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41269] -> 
  -a^(-4) + 2/a^2 + 4*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 12*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (32*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + 
   (25*z^6)/a^4 - (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 41270] -> 1 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41271] -> -4 + 2/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 41272] -> 
  1 + 2/a^4 - 5/a^2 + 7*a^2 - 4*a^4 - 6*z^2 + (7*z^2)/a^4 - (13*z^2)/a^2 + 
   23*a^2*z^2 - 8*a^4*z^2 - 15*z^4 + (9*z^4)/a^4 - (17*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 41273] -> -1 + a^(-2) + a^2 + 3*z^2 - 
   8*a^2*z^2 + 4*a^4*z^2 + 24*z^4 - (8*z^4)/a^2 - 28*a^2*z^4 + 8*a^4*z^4 + 
   37*z^6 - (12*z^6)/a^2 - 30*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 41274] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41275] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41276] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + 
   (7*z^2)/a^8 - (31*z^2)/a^6 + (44*z^2)/a^4 - (15*z^2)/a^2 + (9*z^4)/a^8 - 
   (50*z^4)/a^6 + (75*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + 
   (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 41277] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 8*z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (17*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - 
   (15*z^4)/a^6 + (7*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41278] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 10*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 41279] -> 
  4 - 2/a^6 + 7/a^4 - 8/a^2 + 16*z^2 - (7*z^2)/a^6 + (32*z^2)/a^4 - 
   (42*z^2)/a^2 + 25*z^4 - (9*z^4)/a^6 + (50*z^4)/a^4 - (75*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 41280] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 
   2*a^2 - 11*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 
   19*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41281] -> 
  -a^(-6) + a^(-4) + a^(-2) - (3*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - (15*z^4)/a^6 - 
   (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (12*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41282] -> 
  2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 - 6*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + (6*z^4)/a^4 - (11*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 41283] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 - (9*z^2)/a^14 - (2*z^2)/a^12 + (23*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (8*z^4)/a^14 + (14*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 41284] -> -3/a^12 + 2/a^10 + 2/a^8 - z^2/a^16 - 
   (3*z^2)/a^14 - z^2/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - z^4/a^14 + (6*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 41285] -> 2*a^2 - a^4 - z^2 + 6*a^2*z^2 - 
   9*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 
   18*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 41286] -> 3 - a^(-2) - a^2 + 4*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - z^4 + (6*z^4)/a^4 - 
   (11*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41287] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 26*z^2 + (7*z^2)/a^4 - (24*z^2)/a^2 - 
   8*a^2*z^2 + 39*z^4 + (13*z^4)/a^4 - (42*z^4)/a^2 - 9*a^2*z^4 + 32*z^6 + 
   (13*z^6)/a^4 - (44*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - 
   (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 41288] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 20*z^2 - 
   (7*z^2)/a^2 - 19*a^2*z^2 + 5*a^4*z^2 + 41*z^4 - (13*z^4)/a^2 - 
   34*a^2*z^4 + 8*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 41289] -> 
  a^(-2) - a^2 + a^4 - (3*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   3*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - 
   (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 41290] -> 
  -a^(-4) + 2/a^2 - 8*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (18*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 41291] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 5*z^2 - 
   15*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 + (2*z^4)/a^2 - 14*a^2*z^4 + 
   13*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 8*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41292] -> 3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 3*z^2 - 
   7*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4/a^2 - 6*a^2*z^4 + 3*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 41293] -> -1 + 5*a^2 - 4*a^4 + a^6 - 
   8*z^2 + z^2/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 24*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41294] -> 
  1 - 2/a^10 + a^(-8) + 2/a^6 + a^(-4) - 2/a^2 + 2*z^2 - (3*z^2)/a^10 + 
   (5*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41295] -> 2 - 2/a^2 + 5*a^2 - 5*a^4 + a^6 + 8*z^2 - 
   (5*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 + 12*z^4 - z^4/a^4 - 
   (4*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 
   5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 41296] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 3*a^2*z^2 + 
   14*a^4*z^2 - 15*a^6*z^2 + 5*a^8*z^2 - 12*a^2*z^4 + 36*a^4*z^4 - 
   33*a^6*z^4 + 8*a^8*z^4 - 13*a^2*z^6 + 43*a^4*z^6 - 31*a^6*z^6 + 
   5*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 41297] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 6*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 - 5*z^4 + 10*a^2*z^4 + a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41298] -> 2*a^2 - a^4 - 2*z^2 + 6*a^2*z^2 - a^4*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 11*a^2*z^4 + 2*a^4*z^4 - 12*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41299] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   (2*z^2)/a^12 + (2*z^2)/a^10 + (9*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (6*z^4)/a^10 + (4*z^4)/a^8 - (13*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 41300] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 11*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 
   10*z^4 + z^4/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - 4*a^2*z^4 + 5*z^6 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 41301] -> a^(-6) - 3/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (14*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + 
   (14*z^4)/a^8 - (8*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41302] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 3*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41303] -> 
  4 + 2/a^4 - 5/a^2 - a^2 + 3*a^4 - 2*a^6 + 5*z^2 + (5*z^2)/a^4 - 
   (11*z^2)/a^2 - 3*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41304] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41305] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41306] -> -a^(-4) + 2/a^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (14*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 41307] -> 
  -3 + 8*a^2 - 4*a^4 - 12*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 41308] -> 
  3*a^4 - 2*a^6 - 2*z^2 + 4*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - 
   3*z^4 + 10*a^2*z^4 - a^4*z^4 - 10*a^6*z^4 + 5*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   5*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 41309] -> 
  5 - 2/a^6 + 8/a^4 - 10/a^2 + 23*z^2 - (10*z^2)/a^6 + (45*z^2)/a^4 - 
   (60*z^2)/a^2 + 36*z^4 - (13*z^4)/a^6 + (72*z^4)/a^4 - (108*z^4)/a^2 + 
   25*z^6 - (6*z^6)/a^6 + (50*z^6)/a^4 - (92*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (16*z^8)/a^4 - (42*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 41310] -> 4 - a^(-8) + 3/a^6 - 5/a^2 + 
   12*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 - (22*z^2)/a^2 + 
   13*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (12*z^4)/a^4 - (30*z^4)/a^2 + 
   6*z^6 - z^6/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 - (20*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 41311] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 12*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41312] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (14*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41313] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   z^2/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (9*z^4)/a^8 - (4*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41314] -> -4/a^12 + 4/a^10 + a^(-8) - (5*z^2)/a^14 - 
   (2*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (7*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 41315] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   z^2/a^16 - (13*z^2)/a^14 + (4*z^2)/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (10*z^4)/a^14 + (18*z^4)/a^12 + (31*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 41316] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - (7*z^2)/a^14 + z^2/a^12 + (13*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (8*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 41317] -> -a^(-6) + a^(-4) + a^(-2) + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - 2*z^4 + (5*z^4)/a^8 - 
   (14*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41318] -> 
  -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 41319] -> 
  3 - 3*a^2 + a^6 + 6*z^2 - (3*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 
   9*z^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41320] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41321] -> 
  -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 18*z^2 - (3*z^2)/a^6 + 
   (10*z^2)/a^4 + z^2/a^2 + 9*a^2*z^2 - 23*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - 
   (8*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41322] -> -2/a^10 + 6/a^6 - 5/a^4 + 2/a^2 - 
   (6*z^2)/a^10 + (9*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (8*z^4)/a^10 + (17*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41323] -> 1 - 2/a^10 + a^(-8) + 3/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (8*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41324] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (11*z^2)/a^14 + z^2/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (9*z^4)/a^14 + (15*z^4)/a^12 + 
   (28*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 41325] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   10*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (5*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41326] -> -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 
   4*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41327] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 39*z^2 - 
   (13*z^2)/a^2 - 41*a^2*z^2 + 12*a^4*z^2 + 74*z^4 - (24*z^4)/a^2 - 
   62*a^2*z^4 + 13*a^4*z^4 + 68*z^6 - (19*z^6)/a^2 - 44*a^2*z^6 + 6*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 41328] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 5*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   16*a^2*z^2 + 5*a^4*z^2 + 9*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 18*a^2*z^4 + 
   4*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41329] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 11*z^2 - 
   (6*z^2)/a^2 - a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 19*z^4 - (9*z^4)/a^2 + 
   6*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 41330] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 
   2*a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 7*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41331] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + 
   z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41332] -> -3 + 9*a^2 - 6*a^4 + a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 25*a^2*z^2 - 12*a^4*z^2 + a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   4*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 41333] -> 
  1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41334] -> 
  1 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (5*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41335] -> 
  -1 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + a^4 - 2*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41336] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (20*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (19*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41337] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + 
   (7*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 + 
   (3*z^4)/a^6 - (23*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41338] -> 1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 
   2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41339] -> 1 + 2*z^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41340] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41341] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 + a^4*z^4 - 
   2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41342] -> 
  1 - 3*a^2 + 7*a^4 - 5*a^6 + a^8 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   13*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   7*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41343] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - z^2/a^4 + z^2/a^2 - 13*a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - 14*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41344] -> 
  1 - 2/a^6 + 7/a^4 - 6/a^2 + a^4 - z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (12*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - z^4/a^6 + (9*z^4)/a^4 - 
   (10*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41345] -> -a^(-8) + 3/a^6 - a^(-4) - a^(-2) + a^4 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 41346] -> 2/a^8 - 4/a^6 + 3/a^4 - a^(-2) + a^2 - 
   2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - z^4 + z^4/a^8 - (3*z^4)/a^6 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[15, Alternating, 41347] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 + z^2/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41348] -> 1 - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (13*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - 
   (9*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41349] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - z^2 - 
   z^2/a^8 - z^2/a^6 + (10*z^2)/a^4 - (12*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (11*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 41350] -> a^(-16) - 4/a^14 + a^(-12) + 
   2/a^10 + a^(-8) - z^2/a^16 - (5*z^2)/a^14 + (4*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + (7*z^4)/a^12 + (11*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 41351] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - z^2/a^16 - z^2/a^14 + z^2/a^12 + 
   (5*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^14 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 41352] -> -a^(-14) + a^(-12) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41353] -> 
  -2/a^12 + 2/a^10 + a^(-4) - z^2/a^14 + (5*z^2)/a^10 + z^2/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 41354] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41355] -> 1 - 2/a^10 + a^(-8) + 4/a^6 - 3/a^4 + 
   3*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 
   3*z^4 - z^4/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41356] -> 1 - a^(-12) + 2/a^8 - a^(-4) + 2*z^2 - 
   z^2/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   z^2/a^2 + z^4 + (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 - 
   z^4/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 41357] -> 1 - 2/a^10 + a^(-8) + 4/a^6 - 3/a^4 + 
   2*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41358] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41359] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + z^2/a^8 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41360] -> a^(-8) - 10/a^6 + 16/a^4 - 6/a^2 + 
   (8*z^2)/a^8 - (43*z^2)/a^6 + (68*z^2)/a^4 - (25*z^2)/a^2 + (12*z^4)/a^8 - 
   (69*z^4)/a^6 + (112*z^4)/a^4 - (37*z^4)/a^2 + (6*z^6)/a^8 - (49*z^6)/a^6 + 
   (93*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 41361] -> -2 - 4/a^6 + 5/a^4 + 2/a^2 - 9*z^2 + 
   (4*z^2)/a^8 - (16*z^2)/a^6 + (15*z^2)/a^4 + (13*z^2)/a^2 - 12*z^4 + 
   (4*z^4)/a^8 - (21*z^4)/a^6 + (18*z^4)/a^4 + (24*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (14*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41362] -> -1 + a^(-8) - 8/a^6 + 11/a^4 - 2/a^2 - 
   6*z^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + (29*z^2)/a^4 + (2*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (24*z^4)/a^6 + (29*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41363] -> -3 - 2/a^6 + 6/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (17*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41364] -> -1 - a^2 + 8*a^4 - 5*a^6 - 14*a^2*z^2 + 
   37*a^4*z^2 - 16*a^6*z^2 + 6*z^4 - 35*a^2*z^4 + 68*a^4*z^4 - 23*a^6*z^4 + 
   5*z^6 - 34*a^2*z^6 + 64*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 41365] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 4*z^2 + 
   3*a^2*z^2 + 15*a^4*z^2 - 8*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   23*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41366] -> -3 + 7*a^2 - 2*a^4 - a^6 - 13*z^2 + 
   (2*z^2)/a^2 + 20*a^2*z^2 - 4*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41367] -> 2 - 9*a^2 + 15*a^4 - 7*a^6 + 15*z^2 - 
   50*a^2*z^2 + 60*a^4*z^2 - 19*a^6*z^2 + 31*z^4 - 95*a^2*z^4 + 86*a^4*z^4 - 
   18*a^6*z^4 + 24*z^6 - 86*a^2*z^6 + 56*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 
   41*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 41368] -> 1 - 5*a^2 + 10*a^4 - 5*a^6 - 
   z^2 + (3*z^2)/a^2 - 16*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 - 10*z^4 + 
   (8*z^4)/a^2 - 20*a^2*z^4 + 28*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41369] -> 
  -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 12*z^2 + (6*z^2)/a^2 - 2*a^2*z^2 + 
   21*a^4*z^2 - 8*a^6*z^2 - 21*z^4 + (11*z^4)/a^2 - 9*a^2*z^4 + 25*a^4*z^4 - 
   5*a^6*z^4 - 18*z^6 + (6*z^6)/a^2 - 12*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41370] -> -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 12*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + 
   (3*z^4)/a^4 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41371] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - 2*a^4*z^2 + 
   11*a^6*z^2 + 6*a^8*z^2 - 15*a^10*z^2 + 5*a^12*z^2 - 7*a^4*z^4 + 
   17*a^6*z^4 + 9*a^8*z^4 - 18*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 
   14*a^6*z^6 + 9*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 41372] -> 5*a^6 - 4*a^8 - a^10 + a^12 - a^4*z^2 + 
   13*a^6*z^2 - 6*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   12*a^6*z^4 - 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   7*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 41373] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   4*z^2 + 14*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 - 
   4*z^4 + 18*a^2*z^4 - 27*a^4*z^4 + 24*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - 
   z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 41374] -> 
  2 - 8*a^2 + 13*a^4 - 6*a^6 + 11*z^2 - 36*a^2*z^2 + 43*a^4*z^2 - 
   13*a^6*z^2 + 21*z^4 - 66*a^2*z^4 + 60*a^4*z^4 - 13*a^6*z^4 + 18*z^6 - 
   63*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 41375] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + (2*z^2)/a^2 - 
   12*a^2*z^2 + 20*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 15*a^2*z^4 + 
   20*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41376] -> -a^2 + 8*a^4 - 9*a^6 + 3*a^8 - 12*a^2*z^2 + 
   39*a^4*z^2 - 36*a^6*z^2 + 10*a^8*z^2 - 22*a^2*z^4 + 69*a^4*z^4 - 
   56*a^6*z^4 + 12*a^8*z^4 - 18*a^2*z^6 + 64*a^4*z^6 - 42*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 41377] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 4*z^2 + 5*a^2*z^2 + 10*a^4*z^2 - 16*a^6*z^2 + 
   5*a^8*z^2 - 6*z^4 + 10*a^2*z^4 + 14*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 11*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41378] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 6*z^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 9*z^4 + 22*a^2*z^4 - 
   3*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 4*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 41379] -> 2*a^6 + 3*a^8 - 6*a^10 + 
   2*a^12 - a^4*z^2 + 7*a^6*z^2 + 11*a^8*z^2 - 15*a^10*z^2 + 4*a^12*z^2 - 
   4*a^4*z^4 + 10*a^6*z^4 + 14*a^8*z^4 - 17*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 9*a^6*z^6 + 10*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 41380] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 + 9*a^6*z^2 - 
   6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 8*a^6*z^4 + a^8*z^4 - 5*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 41381] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + (8*z^4)/a^4 - (19*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41382] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41383] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 36*z^2 + 
   (13*z^2)/a^4 - (38*z^2)/a^2 - 10*a^2*z^2 + 56*z^4 + (22*z^4)/a^4 - 
   (69*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + (18*z^6)/a^4 - (64*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 41384] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 7*z^2 + (7*z^2)/a^4 - (17*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41385] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 9*z^2 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   (6*z^4)/a^4 - (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41386] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + (8*z^2)/a^8 - (24*z^2)/a^6 + (28*z^2)/a^4 - 
   (7*z^2)/a^2 + (18*z^4)/a^8 - (55*z^4)/a^6 + (48*z^4)/a^4 - (11*z^4)/a^2 + 
   (17*z^6)/a^8 - (58*z^6)/a^6 + (40*z^6)/a^4 - (6*z^6)/a^2 + (7*z^8)/a^8 - 
   (32*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + 
   (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 41387] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + (5*z^2)/a^8 - (11*z^2)/a^6 + 
   (7*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (8*z^4)/a^8 - (20*z^4)/a^6 + 
   (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41388] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^8 - (11*z^2)/a^4 + (17*z^2)/a^2 - 
   4*z^4 + (5*z^4)/a^8 - (6*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41389] -> 4 - 2/a^2 - a^4 + 5*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + (5*z^4)/a^4 - (10*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41390] -> -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 
   13*z^2 - (6*z^2)/a^6 + (7*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - 
   (9*z^4)/a^6 + (17*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41391] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 3*z^2 - 
   19*a^2*z^2 + 32*a^4*z^2 - 13*a^6*z^2 + 7*z^4 - 39*a^2*z^4 + 64*a^4*z^4 - 
   22*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 63*a^4*z^6 - 18*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 41392] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 - 
   9*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   24*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41393] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (24*z^2)/a^4 - (8*z^2)/a^2 + (5*z^4)/a^8 - 
   (29*z^4)/a^6 + (46*z^4)/a^4 - (16*z^4)/a^2 + (4*z^6)/a^8 - (27*z^6)/a^6 + 
   (48*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 41394] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 31*z^2 + 
   (3*z^2)/a^4 - (19*z^2)/a^2 - 12*a^2*z^2 + 51*z^4 + (5*z^4)/a^4 - 
   (30*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 41395] -> 
  a^(-8) - 9/a^6 + 14/a^4 - 5/a^2 + (5*z^2)/a^8 - (30*z^2)/a^6 + 
   (50*z^2)/a^4 - (18*z^2)/a^2 + (8*z^4)/a^8 - (47*z^4)/a^6 + (79*z^4)/a^4 - 
   (26*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + (69*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 41396] -> 
  -1 + a^(-8) - 7/a^6 + 9/a^4 - a^(-2) - 4*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (22*z^2)/a^4 + z^2/a^2 - 6*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (22*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41397] -> 
  14 + a^(-4) - 8/a^2 - 6*a^2 + 49*z^2 + (5*z^2)/a^4 - (30*z^2)/a^2 - 
   19*a^2*z^2 + 79*z^4 + (8*z^4)/a^4 - (47*z^4)/a^2 - 26*a^2*z^4 + 69*z^6 + 
   (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 41398] -> 9 - 4/a^2 - 4*a^2 + 23*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 41399] -> 
  2 - 2*a^2 + a^4 + a^6 - 2*a^8 + a^10 + 5*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 6*z^4 - z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41400] -> 
  7 - 3/a^2 - 3*a^2 + 35*z^2 + (8*z^2)/a^4 - (28*z^2)/a^2 - 12*a^2*z^2 + 
   58*z^4 + (20*z^4)/a^4 - (61*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (62*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 41401] -> -a^2 + 9*a^4 - 11*a^6 + 4*a^8 - 16*a^2*z^2 + 
   53*a^4*z^2 - 53*a^6*z^2 + 16*a^8*z^2 - 32*a^2*z^4 + 98*a^4*z^4 - 
   82*a^6*z^4 + 17*a^8*z^4 - 24*a^2*z^6 + 87*a^4*z^6 - 55*a^6*z^6 + 
   7*a^8*z^6 - 8*a^2*z^8 + 41*a^4*z^8 - 17*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   10*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 41402] -> 
  a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 5*z^2 + 6*a^2*z^2 + 14*a^4*z^2 - 24*a^6*z^2 + 
   8*a^8*z^2 - 9*z^4 + 14*a^2*z^4 + 19*a^4*z^4 - 27*a^6*z^4 + 5*a^8*z^4 - 
   5*z^6 + 14*a^2*z^6 + 15*a^4*z^6 - 12*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41403] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - 8*z^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 12*z^4 + 28*a^2*z^4 - 
   a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 6*z^6 + 20*a^2*z^6 + 7*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 7*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 41404] -> 
  7 - 3/a^2 - 3*a^2 + 11*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 + 4*a^2*z^2 - 
   4*a^4*z^2 + 2*z^4 + (8*z^4)/a^4 - (17*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41405] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 41406] -> 
  6*a^4 - 7*a^6 + a^8 + a^10 - 6*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 - 
   10*a^8*z^2 + 6*a^10*z^2 - 11*a^2*z^4 + 24*a^4*z^4 + a^6*z^4 - 21*a^8*z^4 + 
   5*a^10*z^4 - 6*a^2*z^6 + 18*a^4*z^6 + 10*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 
   a^2*z^8 + 7*a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 41407] -> 2*a^2 + a^4 - 3*a^6 + a^10 - 2*z^2 + 
   2*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   2*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 8*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 41408] -> 4*a^2 - 4*a^4 + a^6 - a^8 + 
   a^10 - 4*z^2 + 8*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 + 
   2*a^10*z^2 - 4*z^4 + 7*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - z^6 + 4*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 41409] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 42*z^2 + (11*z^2)/a^4 - (37*z^2)/a^2 - 
   13*a^2*z^2 + 60*z^4 + (21*z^4)/a^4 - (66*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 41410] -> 8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 15*z^2 + 
   (7*z^2)/a^4 - (20*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + (9*z^4)/a^4 - 
   (24*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41411] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 41412] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 
   13*z^2 - (7*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 18*z^4 - 
   (7*z^4)/a^2 + 5*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 12*z^6 - (4*z^6)/a^2 + 
   6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41413] -> 
  2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41414] -> 
  4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - 4*z^2 + 13*a^2*z^2 - 19*a^4*z^2 + 
   17*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 25*a^4*z^4 + 
   25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 41415] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 6*z^4 + (8*z^4)/a^4 - 
   (14*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41416] -> 
  2 - 2*a^2 + 3*a^4 - 4*a^6 + 2*a^8 + 7*z^2 - (4*z^2)/a^2 - 5*a^2*z^2 + 
   6*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 9*z^4 - (4*z^4)/a^2 + 6*a^4*z^4 - 
   8*a^6*z^4 + a^8*z^4 + 5*z^6 - z^6/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41417] -> 
  2 - a^2 - a^8 + a^10 + 2*z^2 - (2*z^2)/a^2 - a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 41418] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 + z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41419] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + (11*z^2)/a^8 - (28*z^2)/a^6 + 
   (19*z^2)/a^4 - (3*z^2)/a^2 + (19*z^4)/a^8 - (59*z^4)/a^6 + (43*z^4)/a^4 - 
   (10*z^4)/a^2 + (17*z^6)/a^8 - (59*z^6)/a^6 + (39*z^6)/a^4 - (6*z^6)/a^2 + 
   (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + z^10/a^8 - 
   (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 41420] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 - z^2 + (6*z^2)/a^8 - (14*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + (8*z^4)/a^8 - (21*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41421] -> 
  2 + 2/a^8 - 4/a^6 + 3/a^4 - 2/a^2 - z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - 3*z^4 + (6*z^4)/a^8 - (15*z^4)/a^6 - z^4/a^4 + 
   (9*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41422] -> 
  3 - a^(-2) - a^2 + 17*z^2 + (6*z^2)/a^4 - (17*z^2)/a^2 - 5*a^2*z^2 + 
   34*z^4 + (13*z^4)/a^4 - (40*z^4)/a^2 - 8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - 
   (44*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 41423] -> 2*a^2 - a^4 + 2*z^2 - 5*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 9*z^4 - 27*a^2*z^4 + 25*a^4*z^4 - 7*a^6*z^4 + 
   12*z^6 - 38*a^2*z^6 + 29*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 
   13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 41424] -> 1 + 2*z^2 - 6*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 
   5*z^6 + (3*z^6)/a^2 - 7*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41425] -> 
  3 - a^(-2) - a^2 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - 6*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41426] -> 2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 2*a^2*z^4 - 7*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 41427] -> 1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41428] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 + 
   a^8*z^2 - 2*a^10*z^2 + 8*a^2*z^4 - 19*a^4*z^4 + 6*a^6*z^4 + 9*a^8*z^4 - 
   3*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 3*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 41429] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - a^10*z^2 + 2*z^4 - a^2*z^4 - 
   9*a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41430] -> -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (11*z^2)/a^12 - (11*z^2)/a^10 - (9*z^2)/a^8 + 
   (15*z^2)/a^6 - z^4/a^14 + (12*z^4)/a^12 - (13*z^4)/a^10 - (16*z^4)/a^8 + 
   (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41431] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 9*z^2 - 
   27*a^2*z^2 + 29*a^4*z^2 - 8*a^6*z^2 + 16*z^4 - 50*a^2*z^4 + 42*a^4*z^4 - 
   9*a^6*z^4 + 14*z^6 - 49*a^2*z^6 + 33*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 41432] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 
   13*a^4*z^2 - 28*a^6*z^2 + 32*a^8*z^2 - 10*a^10*z^2 + 22*a^4*z^4 - 
   63*a^6*z^4 + 55*a^8*z^4 - 12*a^10*z^4 + 18*a^4*z^6 - 63*a^6*z^6 + 
   42*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 41433] -> a^2 - 2*a^4 + 4*a^6 - a^8 - a^10 + 
   7*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + 9*a^2*z^4 - 
   20*a^4*z^4 - 2*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 8*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 41434] -> 3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + 3*a^2*z^2 + 
   3*a^4*z^2 - 13*a^6*z^2 + 18*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 
   16*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   11*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 41435] -> 
  a^2 - a^4 + 2*a^6 - a^10 + 2*z^2 + a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 
   5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41436] -> 
  1 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   (6*z^4)/a^4 - (11*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41437] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 7*z^2 + z^2/a^2 + 8*a^2*z^2 + 9*a^4*z^2 - 
   6*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 41438] -> 
  -a^(-4) + 2/a^2 - z^2/a^12 + (2*z^2)/a^10 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4/a^8 + (4*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41439] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + (3*z^2)/a^2 - 
   6*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + (6*z^4)/a^2 - 12*a^2*z^4 + 
   20*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41440] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 41441] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - 
   2*a^4*z^2 + 9*a^6*z^2 + 10*a^8*z^2 - 17*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 + 12*a^6*z^4 + 15*a^8*z^4 - 19*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 41442] -> a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 - 
   a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 41443] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^2 - 
   3*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41444] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41445] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 6*a^4*z^2 + 12*a^6*z^2 + 16*a^8*z^2 - 
   18*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 8*a^4*z^4 + 21*a^6*z^4 + 20*a^8*z^4 - 
   15*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 15*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 41446] -> 3*a^4 - 2*a^6 - 6*z^2 + z^2/a^2 + 
   4*a^2*z^2 + 10*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 
   15*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41447] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 57*z^2 + 
   (6*z^2)/a^4 - (35*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - 
   (53*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 41448] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 20*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 
   10*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41449] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 40*z^2 + 
   (4*z^2)/a^4 - (23*z^2)/a^2 - 16*a^2*z^2 + 74*z^4 + (8*z^4)/a^4 - 
   (45*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 41450] -> 
  3 - a^(-4) - a^4 + 6*z^2 + z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   9*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + 
   z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41451] -> 
  -3/a^4 + 5/a^2 - a^2 + 7*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 
   6*a^2*z^2 + 17*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (14*z^4)/a^2 - 
   9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41452] -> 1 - 2/a^4 + 3/a^2 - a^2 + 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41453] -> 9 - 4/a^2 - 4*a^2 + 36*z^2 + (8*z^2)/a^4 - 
   (28*z^2)/a^2 - 12*a^2*z^2 + 58*z^4 + (20*z^4)/a^4 - (61*z^4)/a^2 - 
   13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (62*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + 
   (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 41454] -> 1 - 2/a^4 + 3/a^2 - a^2 + 
   8*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 41455] -> -a^2 + 8*a^4 - 9*a^6 + 3*a^8 - 12*a^2*z^2 + 
   41*a^4*z^2 - 40*a^6*z^2 + 12*a^8*z^2 - 24*a^2*z^4 + 74*a^4*z^4 - 
   62*a^6*z^4 + 13*a^8*z^4 - 19*a^2*z^6 + 68*a^4*z^6 - 44*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 34*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 41456] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 4*z^2 + 7*a^2*z^2 + 6*a^4*z^2 - 14*a^6*z^2 + 
   5*a^8*z^2 - 8*z^4 + 15*a^2*z^4 + 8*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 
   5*z^6 + 14*a^2*z^6 + 9*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41457] -> 2*a^2 - a^6 - a^8 + a^10 - 2*z^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 14*a^4*z^4 + 17*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 41458] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - 6*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41459] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 41460] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 49*z^2 + (13*z^2)/a^4 - (43*z^2)/a^2 - 
   15*a^2*z^2 + 67*z^4 + (24*z^4)/a^4 - (75*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + 
   (19*z^6)/a^4 - (68*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 41461] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 9*z^2 + 
   (7*z^2)/a^4 - (18*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - z^4 + (9*z^4)/a^4 - 
   (21*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41462] -> 
  2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + (7*z^4)/a^6 - (14*z^4)/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - 
   (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 41463] -> 
  2*a^2 - a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41464] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^6 - z^6/a^4 - (10*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 41465] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - a^2*z^2 + 16*a^6*z^2 - 15*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 19*a^6*z^4 - 12*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 - 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 41466] -> 1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 
   z^2 - z^2/a^2 + 4*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 11*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 41467] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (8*z^4)/a^4 - 
   (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41468] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41469] -> 2*a^2 - 2*a^6 + a^8 - 5*z^2 + 11*a^2*z^2 - 
   11*a^6*z^2 + 5*a^8*z^2 - 9*z^4 + 18*a^2*z^4 + 5*a^4*z^4 - 18*a^6*z^4 + 
   4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 9*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41470] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41471] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   z^2 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41472] -> 
  2 + 2/a^8 - 4/a^6 + 3/a^4 - 2/a^2 + 2*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41473] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 13*z^4 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 
   6*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 41474] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   6*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41475] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 9*z^4 + (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41476] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 14*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41477] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (5*z^4)/a^6 + (10*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41478] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 17*z^2 + (6*z^2)/a^2 + 15*a^2*z^2 - 
   2*a^6*z^2 - 23*z^4 + (9*z^4)/a^2 + 8*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 
   16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41479] -> 
  -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (16*z^2)/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^12 - 
   (16*z^4)/a^10 - (14*z^4)/a^8 + (12*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 41480] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 + 13*z^2 - 39*a^2*z^2 + 42*a^4*z^2 - 
   12*a^6*z^2 + 24*z^4 - 74*a^2*z^4 + 62*a^4*z^4 - 13*a^6*z^4 + 19*z^6 - 
   68*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 41481] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   12*z^2 + (6*z^2)/a^2 + a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 19*z^4 + 
   (9*z^4)/a^2 - 6*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41482] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 + 
   4*a^8*z^2 - 3*a^10*z^2 + 7*a^2*z^4 - 15*a^4*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 41483] -> 2*a^2 - a^4 + 2*z^2 - 7*a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 + 11*z^4 - 32*a^2*z^4 + 31*a^4*z^4 - 8*a^6*z^4 + 
   13*z^6 - 42*a^2*z^6 + 31*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 41484] -> 1 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   6*z^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 9*z^6 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41485] -> 
  1 + (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41486] -> 5 + 2/a^4 - 6/a^2 + 2*a^2 - 
   2*a^4 + 8*z^2 + (8*z^2)/a^4 - (19*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 
   2*z^4 + (10*z^4)/a^4 - (25*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41487] -> 
  -4 - 2/a^6 + a^(-4) + 5/a^2 + a^2 - 11*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^6 + (15*z^4)/a^4 + 
   6*a^2*z^4 - 11*z^6 - z^6/a^6 + (9*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41488] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (8*z^2)/a^14 + (15*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - 
   (4*z^4)/a^14 + (9*z^4)/a^12 + (21*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 41489] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 + z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41490] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 7*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41491] -> 
  6 + 2/a^4 - 6/a^2 - a^4 + 7*z^2 + (6*z^2)/a^4 - (15*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - z^4 + (7*z^4)/a^4 - (17*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41492] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41493] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   13*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   11*z^4 - z^4/a^6 - (5*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 41494] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (10*z^4)/a^6 - (14*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41495] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41496] -> -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   10*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41497] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + (3*z^2)/a^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41498] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + 
   (6*z^2)/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 41499] -> 2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 8*z^2 - 
   16*a^2*z^2 + 4*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + 9*z^4 - 22*a^2*z^4 - 
   4*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 8*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 41500] -> 
  -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 6*z^2 + (4*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41501] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 18*z^2 - z^2/a^4 + (8*z^2)/a^2 + 16*a^2*z^2 - 
   4*a^4*z^2 - 25*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 41502] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 + (4*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41503] -> 18 + a^(-4) - 10/a^2 - 8*a^2 + 
   73*z^2 + (9*z^2)/a^4 - (47*z^2)/a^2 - 28*a^2*z^2 + 116*z^4 + 
   (12*z^4)/a^4 - (71*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + (6*z^6)/a^4 - 
   (49*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 
   10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 41504] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 30*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 - 
   (4*z^2)/a^2 - 14*a^2*z^2 + 36*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (4*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41505] -> -2 + 6*a^2 - 3*a^4 - 7*z^2 + z^2/a^2 + 
   11*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 + 
   10*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41506] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 42*z^2 + 
   (3*z^2)/a^4 - (22*z^2)/a^2 - 17*a^2*z^2 + 75*z^4 + (8*z^4)/a^4 - 
   (44*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 41507] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 11*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41508] -> 17 + 2/a^4 - 11/a^2 - 7*a^2 + 64*z^2 + 
   (17*z^2)/a^4 - (56*z^2)/a^2 - 20*a^2*z^2 + 88*z^4 + (32*z^4)/a^4 - 
   (99*z^4)/a^2 - 18*a^2*z^4 + 56*z^6 + (24*z^6)/a^4 - (87*z^6)/a^2 - 
   7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (41*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 41509] -> 
  9 + 2/a^4 - 8/a^2 - 2*a^4 + 16*z^2 + (10*z^2)/a^4 - (26*z^2)/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + (13*z^4)/a^4 - (32*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (6*z^6)/a^4 - (21*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41510] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 7*z^4 - (9*z^4)/a^6 + (26*z^4)/a^4 - 
   (25*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + (38*z^6)/a^4 - (29*z^6)/a^2 + z^8 - 
   (6*z^8)/a^6 + (25*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - 
   (2*z^10)/a^2 + z^12/a^4, Knot[15, Alternating, 41511] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41512] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 26*z^2 - 
   (9*z^2)/a^2 - 26*a^2*z^2 + 7*a^4*z^2 + 50*z^4 - (16*z^4)/a^2 - 
   41*a^2*z^4 + 9*a^4*z^4 + 49*z^6 - (14*z^6)/a^2 - 33*a^2*z^6 + 5*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 41513] -> 
  -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 10*a^2*z^2 + 34*a^4*z^2 - 31*a^6*z^2 + 
   9*a^8*z^2 - 21*a^2*z^4 + 65*a^4*z^4 - 54*a^6*z^4 + 12*a^8*z^4 - 
   18*a^2*z^6 + 63*a^4*z^6 - 42*a^6*z^6 + 6*a^8*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 41514] -> 2*a^2 - a^4 - 4*z^2 + 
   9*a^2*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + 16*a^2*z^4 + 4*a^4*z^4 - 
   16*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 10*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41515] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 15*a^4*z^2 - 
   17*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 6*a^2*z^4 + 16*a^4*z^4 - 19*a^6*z^4 + 
   4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 11*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41516] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - z^2/a^2 + 
   3*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 
   a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41517] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + z^2 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41518] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 11*z^2 - 32*a^2*z^2 + 32*a^4*z^2 - 9*a^6*z^2 + 
   21*z^4 - 65*a^2*z^4 + 54*a^4*z^4 - 12*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 
   42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 41519] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 6*z^2 - 11*a^2*z^2 - 2*a^4*z^2 + 
   12*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 18*a^2*z^4 - 6*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 41520] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 + 
   (2*z^2)/a^2 - 14*a^2*z^2 + 17*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 
   16*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 41521] -> 3 - 5*a^2 + 3*a^4 + a^6 - a^8 + 
   2*z^2 + z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 9*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41522] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41523] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 41524] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 + z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41525] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   13*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 
   17*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 41526] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41527] -> -2 + 2/a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 41528] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 - 
   2*z^2 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41529] -> 1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 
   (5*z^2)/a^8 - (13*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 - 2*z^4 + (6*z^4)/a^8 - 
   (17*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (12*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41530] -> 3 + 2/a^4 - 4/a^2 + 15*z^2 + (7*z^2)/a^4 - 
   (20*z^2)/a^2 - 4*a^2*z^2 + 33*z^4 + (13*z^4)/a^4 - (41*z^4)/a^2 - 
   8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 41531] -> 1 + 2/a^4 - 3/a^2 + a^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41532] -> 
  1 + 12*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 32*z^4 + 
   (12*z^4)/a^4 - (36*z^4)/a^2 - 8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - 
   (43*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 41533] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (4*z^2)/a^8 - 
   (9*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - 2*z^4 + (6*z^4)/a^8 - (16*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41534] -> 
  -1 + a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41535] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (13*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41536] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + 
   (5*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41537] -> 1 + z^2/a^8 - z^2/a^6 - z^2/a^4 + z^2/a^2 + 
   z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41538] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 7*z^2 + z^2/a^4 - (6*z^2)/a^2 + 9*a^2*z^2 - 
   6*a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41539] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41540] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2/a^2 + 
   10*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + z^4/a^2 - a^2*z^4 + 16*a^4*z^4 - 
   6*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41541] -> -a^(-14) + 2/a^10 - 3/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (7*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41542] -> -a^(-10) - 2/a^8 + 6/a^6 - 3/a^4 + a^(-2) - 
   (6*z^2)/a^10 + (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 
   (8*z^4)/a^10 + (17*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41543] -> -a^(-10) + a^(-6) + a^(-4) + z^2 - 
   (3*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41544] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 4*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41545] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 41546] -> 
  -2 + 6*a^2 - 3*a^4 + (2*z^2)/a^4 - (7*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 
   7*z^4 + (3*z^4)/a^4 - (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + 
   z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41547] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 6*z^2 + z^2/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41548] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + (5*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^4 - 
   2*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41549] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (9*z^2)/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - (13*z^4)/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41550] -> -a^(-14) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (3*z^2)/a^14 + (7*z^2)/a^12 + (3*z^2)/a^10 - (9*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (3*z^4)/a^10 - (13*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41551] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 4*z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (14*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (12*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41552] -> -a^(-14) + a^(-12) - a^(-10) + a^(-8) + 
   a^(-4) - z^2/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 41553] -> 3 - a^(-2) - a^2 + z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41554] -> 2*a^2 - a^4 - z^2 + 3*a^2*z^2 - 2*a^6*z^2 + 
   a^8*z^2 - 3*z^4 + 6*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 + 3*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41555] -> 2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (9*z^4)/a^6 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41556] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 8*z^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41557] -> 
  1 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 41558] -> 1 - a^(-2) + 2*a^2 - a^6 + 
   5*z^2 + z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 + 
   3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 41559] -> 2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + 
   a^10 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41560] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 5*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - (3*z^4)/a^2 + 4*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41561] -> 
  1 + 2/a^4 - 3/a^2 + 2*a^4 - a^6 + z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41562] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41563] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41564] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 6*z^2 - 
   (2*z^2)/a^8 - z^2/a^6 + (9*z^2)/a^4 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (12*z^4)/a^4 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41565] -> a^(-2) - a^2 + a^4 + a^6 - 2*a^8 + a^10 - 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 41566] -> a^(-2) - a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 41567] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41568] -> a^(-2) - a^4 + 2*a^6 - 2*a^8 + a^10 - 
   2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 41569] -> a^(-2) - a^2 + 3*a^4 - 4*a^6 + 2*a^8 - z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6 + a^4*z^6, Knot[15, Alternating, 41570] -> 
  a^(-2) - a^8 + a^10 - z^2/a^4 - a^2*z^2 - a^6*z^2 - 2*a^8*z^2 + 2*z^4 + 
   z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + a^6*z^4, Knot[15, Alternating, 41571] -> 
  a^(-2) - a^4 + a^6 + 2*z^2 - z^2/a^4 - 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41572] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 4*z^2 - 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41573] -> 2/a^8 - 4/a^6 + 3/a^4 - a^(-2) + a^2 + z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41574] -> a^(-6) - a^(-4) + a^2 - 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41575] -> 
  -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (6*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 - (7*z^4)/a^4 - z^6/a^10 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41576] -> -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 
   2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 41577] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^10 + z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41578] -> -a^(-4) + 2/a^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41579] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - z^4/a^6 - 
   z^4/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41580] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   (9*z^2)/a^8 - (23*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 + (18*z^4)/a^8 - 
   (55*z^4)/a^6 + (41*z^4)/a^4 - (10*z^4)/a^2 + (17*z^6)/a^8 - (58*z^6)/a^6 + 
   (39*z^6)/a^4 - (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 41581] -> 2 + 2/a^8 - 4/a^6 + 3/a^4 - 2/a^2 + 
   (6*z^2)/a^8 - (16*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + 
   (8*z^4)/a^8 - (22*z^4)/a^6 + (7*z^4)/a^4 + (6*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41582] -> 2/a^8 - 4/a^6 + 3/a^4 - a^(-2) + a^2 - 
   3*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41583] -> 4/a^12 - 11/a^10 + 7/a^8 + 
   a^(-6) - (4*z^2)/a^14 + (20*z^2)/a^12 - (36*z^2)/a^10 + (19*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^4)/a^14 + (31*z^4)/a^12 - (49*z^4)/a^10 + 
   (12*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (37*z^6)/a^10 - 
   (4*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 41584] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (8*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (8*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 41585] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^4)/a^12 - (8*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41586] -> 
  a^2 + a^4 - a^6 + 4*z^2 - 11*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 + 12*z^4 - 
   36*a^2*z^4 + 32*a^4*z^4 - 8*a^6*z^4 + 13*z^6 - 43*a^2*z^6 + 31*a^4*z^6 - 
   5*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 
   8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 41587] -> 
  2*a^2 - a^4 - 4*z^2 + (2*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   10*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41588] -> 
  -2/a^6 + 3/a^4 + (2*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (6*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^12 - 
   (7*z^6)/a^10 + (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41589] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 41590] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   (2*z^4)/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41591] -> -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 12*z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41592] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41593] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + a^2*z^2 + 6*a^4*z^2 - 12*a^6*z^2 + 
   14*a^8*z^2 - 4*a^10*z^2 + 3*a^2*z^4 - a^4*z^4 - 14*a^6*z^4 + 15*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 9*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 41594] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41595] -> -4 - 3/a^4 + 7/a^2 + a^2 - 11*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41596] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 6*z^2 + 19*a^2*z^2 - 19*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41597] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 + (6*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41598] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 41599] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (15*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + 
   (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 41600] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41601] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (9*z^2)/a^14 - z^2/a^12 + (16*z^2)/a^10 + 
   (6*z^2)/a^8 - z^4/a^16 - (5*z^4)/a^14 + (8*z^4)/a^12 + (21*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 41602] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41603] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41604] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - 2*z^2 + 4*a^2*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 41605] -> 
  -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 6*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (17*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (20*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41606] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - (11*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (9*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41607] -> 
  4*a^2 - 8*a^4 + 10*a^6 - 7*a^8 + 2*a^10 - 4*z^2 + 16*a^2*z^2 - 28*a^4*z^2 + 
   29*a^6*z^2 - 16*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 19*a^2*z^4 - 32*a^4*z^4 + 
   30*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 18*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 41608] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41609] -> -3/a^8 + 4/a^6 - z^2/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^4 + z^4/a^12 - (4*z^4)/a^10 + z^4/a^8 + 
   (12*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41610] -> 1 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41611] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41612] -> -a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 + a^4*z^2 - 6*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 41613] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 41614] -> 1 + a^2 - a^4 - a^6 + a^8 + 
   4*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   6*a^2*z^4 - 14*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 41615] -> 
  -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 10*z^2 + z^2/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 7*z^4 + z^4/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41616] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41617] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 41618] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 41619] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 14*a^4*z^4 + 12*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 41620] -> -a^(-4) + 2/a^2 - 9*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 41621] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41622] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 41623] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (5*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41624] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - 
   a^4 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 15*z^4 + z^4/a^4 + (7*z^4)/a^2 + 11*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 11*z^6 + z^6/a^4 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 41625] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - 
   a^8 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   2*z^4 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - a^8*z^4 + z^6/a^2 - a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41626] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   4*a^4*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41627] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - 2*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41628] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41629] -> 3 + 2/a^4 - 4/a^2 + 8*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - (17*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 41630] -> 5 - 2/a^2 - 2*a^2 + 17*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 41631] -> 
  1 + 3*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 12*a^2*z^4 + 5*a^4*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41632] -> 
  -2 + a^(-2) + 3*a^2 - a^4 + 2*z^2 - 3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 
   10*z^4 - (4*z^4)/a^2 - 8*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - 
   (4*z^6)/a^2 - a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41633] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41634] -> -4 + 3/a^2 + a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 3*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41635] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41636] -> 
  4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 15*z^2 - (5*z^2)/a^2 - 9*a^2*z^2 - 
   8*a^4*z^2 + 5*a^6*z^2 + 21*z^4 - (8*z^4)/a^2 - 8*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41637] -> 5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 6*z^2 - 
   z^2/a^4 - 6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41638] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 + 
   6*a^2*z^2 - 8*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 4*a^2*z^4 + 
   4*a^4*z^4 - 8*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 
   6*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 41639] -> -2 + 2/a^2 + a^4 - 7*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41640] -> 2 - 2*a^2 + 2*a^6 - a^8 + 6*z^2 - 
   15*a^2*z^2 + 6*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 22*a^2*z^4 + 
   6*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 2*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 41641] -> 3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 
   z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41642] -> -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41643] -> 
  1 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 41644] -> -a^(-10) - a^(-8) + 2/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^12 - (5*z^2)/a^10 + (12*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 + (17*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41645] -> -2/a^8 + 2/a^6 + a^(-4) + 2*z^2 + z^2/a^10 - 
   (5*z^2)/a^8 + (10*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41646] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 41647] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - (3*z^2)/a^6 + (4*z^2)/a^2 - a^2*z^2 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 41648] -> 
  2*a^2 - 2*a^6 + a^8 + 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 
   4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41649] -> 
  1 + a^2 - 2*a^4 + a^6 + 4*z^2 - z^2/a^4 - a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 41650] -> 
  3 - a^(-2) - a^2 + 14*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41651] -> 1 + 3*z^2 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41652] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^10 - (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 41653] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - 2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 41654] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + 
   a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41655] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + (3*z^2)/a^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41656] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 41657] -> 
  3 + a^(-6) - 3/a^2 - 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41658] -> 
  5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 17*z^2 - (6*z^2)/a^2 - 11*a^2*z^2 - 
   8*a^4*z^2 + 5*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 7*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41659] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 5*a^2*z^2 - 
   7*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + 3*a^4*z^4 - 
   8*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 6*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 41660] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 3*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   a^10*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 41661] -> 
  4*a^2 - 4*a^4 + a^8 - 10*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 
   4*a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41662] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41663] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   5*z^4 - z^4/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 41664] -> 2 + a^(-8) - 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 - (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41665] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41666] -> 1 + a^2 - a^4 - a^6 + a^8 + 3*z^2 - 
   z^2/a^4 + a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 41667] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 41668] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41669] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 14*a^2*z^2 + 
   6*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41670] -> a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41671] -> 
  3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 - 2*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^6*z^2 - 8*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41672] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 41673] -> 2 + a^(-4) - 2/a^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41674] -> -3 - a^(-4) + 4/a^2 + a^4 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41675] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41676] -> 3 + a^(-6) - 3/a^2 - 3*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41677] -> 1 + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41678] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 41679] -> 
  2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 9*z^2 + (6*z^2)/a^4 - (18*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41680] -> 1 + 5*z^2 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41681] -> 1 + 5*z^2 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41682] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41683] -> -2 + a^(-2) + 3*a^2 - a^4 + 2*z^2 - 
   3*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (4*z^4)/a^2 - 8*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 - a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41684] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41685] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + 3*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 41686] -> 4 - a^(-2) - a^2 - 3*a^4 + 
   2*a^6 + 9*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 14*z^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 41687] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 6*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   8*z^4 - (5*z^4)/a^6 + (14*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41688] -> 
  2 + a^(-4) - 2/a^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41689] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 - 3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41690] -> 
  3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 2*z^2 - 6*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 41691] -> 2 + a^(-4) - 2/a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41692] -> a^(-2) - a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 13*z^4 - (5*z^4)/a^2 - 6*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41693] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41694] -> 1 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41695] -> 3 + a^(-6) - 3/a^2 - 3*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41696] -> 2 + a^(-4) - 2/a^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41697] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41698] -> 
  -a^(-4) + 2/a^2 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   15*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 41699] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^12 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41700] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^10 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41701] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 2*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41702] -> -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   9*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41703] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41704] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41705] -> 
  2*a^2 - a^4 + 3*z^2 + z^2/a^6 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   7*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41706] -> a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41707] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41708] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 - z^4/a^6 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41709] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   3*a^2*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 41710] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41711] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 41712] -> 
  -1 + a^(-4) + a^4 - 5*z^2 - z^2/a^8 + (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 41713] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41714] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 41715] -> a^(-12) - 5/a^10 + 2/a^8 + 
   5/a^6 - 2/a^4 + (4*z^2)/a^12 - (21*z^2)/a^10 + (18*z^2)/a^8 + 
   (18*z^2)/a^6 - (9*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + (37*z^4)/a^8 + 
   (22*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (32*z^6)/a^8 + 
   (15*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 41716] -> 
  a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^10 + 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (7*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41717] -> 
  -2/a^10 + a^(-8) + a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (7*z^2)/a^8 + (7*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (11*z^4)/a^8 + (11*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41718] -> 
  -a^(-10) - a^(-8) + 2/a^6 + 2/a^4 - a^(-2) - z^2 + z^2/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - z^4 - 
   (3*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 41719] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^12 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41720] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + z^4/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41721] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + z^2/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 - 10*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41722] -> 
  -5 + 3/a^2 + 3*a^2 - 16*z^2 + (6*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41723] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 9*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 
   3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41724] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41725] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41726] -> 7 - 3/a^2 - 3*a^2 + 20*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41727] -> -4/a^6 + 7/a^4 - 2/a^2 + (3*z^2)/a^10 - 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (25*z^2)/a^4 - (9*z^2)/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 - (3*z^4)/a^6 + (31*z^4)/a^4 - (12*z^4)/a^2 + z^6/a^10 - 
   (10*z^6)/a^8 + (6*z^6)/a^6 + (20*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + 
   (5*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 41728] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 - 
   3*z^4 + z^4/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (10*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 41729] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + z^4/a^10 - (5*z^4)/a^8 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41730] -> -1 - a^(-6) + 3/a^2 - z^2 + z^2/a^10 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 41731] -> 
  6 - a^(-2) - 5*a^2 - a^4 + 2*a^6 + 24*z^2 - (9*z^2)/a^2 - 15*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 + 31*z^4 - (12*z^4)/a^2 - 8*a^2*z^4 - 19*a^4*z^4 + 
   5*a^6*z^4 + 20*z^6 - (6*z^6)/a^2 + 5*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   7*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41732] -> 4 - 4*a^2 - a^4 + 2*a^6 + 8*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41733] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41734] -> 
  2/a^4 - 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41735] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 41736] -> 3 - 2*a^2 - a^4 + a^8 + 4*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   (4*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + 9*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41737] -> 1 + a^(-2) - a^2 - a^4 + a^8 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^4 + 
   4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 41738] -> -4 + 2/a^2 + 4*a^2 - a^4 - 20*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 30*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 19*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 41739] -> 
  1 + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41740] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 41741] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41742] -> 
  2 - 2*a^2 + a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41743] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^2 + a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 41744] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 - 7*a^4*z^2 + 22*a^6*z^2 - 
   16*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 19*a^4*z^4 + 31*a^6*z^4 - 
   18*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 16*a^4*z^6 + 18*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 41745] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 2*z^2 + 
   3*a^2*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 41746] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41747] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   z^2/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (26*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41748] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 9*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 41749] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41750] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 3*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4 - z^4/a^8 - z^4/a^6 + (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + 
   z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2, Knot[15, Alternating, 41751] -> 
  -a^(-14) - a^(-12) + 2/a^10 + a^(-6) - z^2/a^16 - (4*z^2)/a^14 + 
   (3*z^2)/a^12 + (8*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (8*z^4)/a^12 + (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 41752] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (7*z^2)/a^14 + (2*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 41753] -> 1 - a^(-6) + 2/a^2 - a^2 + 
   2*z^2 + z^2/a^8 - (3*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 41754] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 41755] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + 4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 - (4*z^6)/a^2 - 
   2*a^2*z^6, Knot[15, Alternating, 41756] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 
   z^2 + z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41757] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41758] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - z^2 - 
   z^2/a^2 + 7*a^2*z^2 - 9*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41759] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41760] -> a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41761] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 41762] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - 
   2*a^2*z^2 + a^4*z^2 + 10*a^6*z^2 + 4*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - 
   z^4 - 2*a^2*z^4 + 4*a^4*z^4 + 12*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 41763] -> -1 + 3*a^2 - a^6 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41764] -> a^2 + a^4 - a^6 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 - a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41765] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - z^2 - z^2/a^2 + 7*a^2*z^2 - 9*a^6*z^2 + 
   4*a^8*z^2 + 2*z^4 - z^4/a^2 + 7*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41766] -> 
  -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + 
   z^2/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 41767] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + (4*z^2)/a^10 - (12*z^2)/a^8 + 
   (22*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (30*z^4)/a^6 - (22*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (17*z^6)/a^6 - 
   (17*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 41768] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 41769] -> 
  1 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41770] -> 
  a^(-6) - a^(-2) + a^4 - 5*z^2 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 41771] -> 1 + 3*z^2 + z^2/a^8 - (3*z^2)/a^4 - 
   a^4*z^2 + 3*z^4 + z^4/a^8 - (4*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 41772] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 41773] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41774] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 41775] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 - 
   7*a^4*z^2 + 22*a^6*z^2 - 16*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 
   19*a^4*z^4 + 31*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   16*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 41776] -> -3/a^12 + 3/a^10 + a^(-6) - 
   z^2/a^16 - (2*z^2)/a^14 - (3*z^2)/a^12 + (12*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (5*z^4)/a^12 + (15*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 41777] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 41778] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 + z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 
   9*a^6*z^2 + 5*a^8*z^2 + 4*z^4 - z^4/a^2 + 7*a^2*z^4 - 9*a^4*z^4 - 
   8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 41779] -> 
  2 - 2*a^2 + a^4 + 6*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 14*a^2*z^2 + 
   6*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41780] -> a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^6 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41781] -> 
  1 + a^2 - a^4 - a^6 + a^8 + 3*z^2 - z^2/a^4 + a^2*z^2 - 5*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 41782] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 9*z^2 + 
   (6*z^2)/a^4 - (18*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41783] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 - 3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41784] -> 
  -1 + 2/a^8 - 4/a^6 + 4/a^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41785] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 41786] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41787] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41788] -> -1 + a^(-4) + a^4 - 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 41789] -> 
  1 + 3*z^2 + z^2/a^8 - (3*z^2)/a^4 - a^4*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 41790] -> 
  1 + a^2 - a^4 - a^6 + a^8 + z^2 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4/a^2 + 3*a^2*z^4 - 4*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 41791] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41792] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 9*z^2 - (7*z^2)/a^6 + (18*z^2)/a^4 - 
   (11*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (9*z^4)/a^6 + (24*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41793] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 8*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41794] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 41795] -> 
  3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 - 2*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^6*z^2 - 8*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (4*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41796] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 41797] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   z^2/a^2 + a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 14*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 5*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41798] -> 
  a^2 + a^6 - a^8 - 2*z^2 + (2*z^2)/a^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 - 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 41799] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (3*z^2)/a^14 + (8*z^2)/a^12 - (7*z^2)/a^10 - 
   z^2/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (21*z^4)/a^12 - (20*z^4)/a^10 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (24*z^6)/a^10 - 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 41800] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (4*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 41801] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 41802] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (11*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (19*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 41803] -> 
  2 - a^(-8) + a^(-6) - a^2 + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - 2*a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41804] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   z^2/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (26*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41805] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - (2*z^2)/a^14 + z^2/a^12 + 
   (6*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (5*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 41806] -> 
  -a^(-12) + a^(-10) + a^(-2) - z^2/a^14 + (4*z^2)/a^10 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41807] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 6*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41808] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 + 
   z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   6*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 
   3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 41809] -> 
  2 + a^(-4) - 2/a^2 + 7*z^2 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (14*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + z^4/a^4 - 
   (23*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 41810] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41811] -> a^(-2) + a^2 - 2*a^4 + a^8 - 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 41812] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 41813] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 41814] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   5*z^2 + z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41815] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + 
   z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41816] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + z^2/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 41817] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + (6*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41818] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-2) - z^2/a^14 + (6*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 41819] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 6*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41820] -> -1 + 4*a^2 - 2*a^4 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 
   9*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41821] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 41822] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 
   5*a^2*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41823] -> -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 41824] -> -a^(-4) + 2/a^2 + 4*z^2 + z^2/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 - a^4*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 41825] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 8*a^6*z^4 - 6*a^8*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41826] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 41827] -> a^(-16) - 5/a^14 + 4/a^12 - 
   a^(-10) + 2/a^8 - z^2/a^16 - (12*z^2)/a^14 + (17*z^2)/a^12 + 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (3*z^4)/a^16 - (5*z^4)/a^14 + (25*z^4)/a^12 + 
   (11*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (15*z^6)/a^12 + 
   (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 41828] -> a^(-16) - 4/a^14 + 2/a^12 + 
   2/a^8 - z^2/a^16 - (6*z^2)/a^14 + (5*z^2)/a^12 + (8*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (9*z^4)/a^12 + 
   (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 41829] -> 
  -2/a^14 + a^(-12) + a^(-10) + a^(-6) - (2*z^2)/a^16 - (3*z^2)/a^14 + 
   (6*z^2)/a^12 + (6*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^16 + 
   z^4/a^14 + (9*z^4)/a^12 + (9*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 41830] -> -a^(-14) - a^(-12) + 2/a^10 + a^(-6) - 
   z^2/a^16 - (2*z^2)/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 41831] -> 
  3 - a^(-2) - a^2 + 15*z^2 + (3*z^2)/a^4 - (13*z^2)/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 32*z^4 + (4*z^4)/a^4 - (25*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   30*z^6 + z^6/a^4 - (16*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - 
   (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 41832] -> 1 + 8*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 15*z^4 + z^4/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 41833] -> 
  -1 + a^(-2) + a^2 + z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   a^4*z^2 + 8*z^4 + z^4/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 41834] -> 
  7 - 3/a^2 - 3*a^2 + 20*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 - 
   9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 10*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 41835] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 19*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 28*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (20*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 41836] -> -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 
   6*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 41837] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 6*z^2 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 10*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 11*z^4 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41838] -> -1 + 2/a^2 - a^4 + a^8 + 2*z^2 - 
   (2*z^2)/a^4 - a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 6*z^4 - 
   z^4/a^4 + z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 41839] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (27*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (17*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41840] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 41841] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 6*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 + (7*z^4)/a^8 - (15*z^4)/a^6 + 
   z^4/a^4 + (18*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (13*z^6)/a^6 - (6*z^6)/a^4 + 
   (11*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41842] -> 
  -1 - a^(-6) + 3/a^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41843] -> 
  -1 - 2/a^4 + 4/a^2 + z^2/a^8 - (7*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41844] -> -a^(-14) + a^(-12) - a^(-10) + 
   a^(-8) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 + z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (5*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41845] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - z^2/a^14 - z^2/a^12 + (6*z^2)/a^10 - 
   z^2/a^8 + (6*z^2)/a^6 + z^2/a^2 + (2*z^4)/a^12 + (4*z^4)/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41846] -> 
  3 - a^(-2) - a^2 + 14*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 - 
   6*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41847] -> 1 + 3*z^2 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41848] -> 
  5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 17*z^2 - (6*z^2)/a^2 - 11*a^2*z^2 - 
   8*a^4*z^2 + 5*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 7*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41849] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 4*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41850] -> a^(-2) + a^2 - 2*a^4 + a^8 - 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 41851] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41852] -> -1 - 2/a^4 + 4/a^2 + z^2/a^8 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - (5*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 41853] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41854] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41855] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 
   a^6*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41856] -> -4 + 11*a^2 - 7*a^4 + a^6 - 15*z^2 + 
   (2*z^2)/a^2 + 29*a^2*z^2 - 12*a^4*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   29*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 15*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 41857] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41858] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 41859] -> 
  11 - 5/a^2 - 5*a^2 + 32*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 - (8*z^2)/a^2 - 
   14*a^2*z^2 + 37*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + z^4/a^2 - 14*a^2*z^4 + 
   22*z^6 + z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41860] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 13*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 4*a^4*z^4 + 8*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41861] -> -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 18*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - a^2*z^4 + 
   24*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41862] -> -1 + 3*a^2 - a^6 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41863] -> -3 + 2/a^2 + 2*a^2 - 3*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 + 3*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41864] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 41865] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 
   2*z^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41866] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 9*z^2 - (7*z^2)/a^6 + (18*z^2)/a^4 - 
   (11*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (9*z^4)/a^6 + (24*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41867] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 8*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41868] -> 
  6 - a^(-2) - 5*a^2 - a^4 + 2*a^6 + 18*z^2 - (7*z^2)/a^2 - 11*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 + 24*z^4 - (9*z^4)/a^2 - 6*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41869] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 4*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41870] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 41871] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41872] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 
   9*z^2 + (7*z^2)/a^4 - (19*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + 
   (9*z^4)/a^4 - (24*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41873] -> 
  -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 4*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41874] -> 
  -a^(-14) + a^(-12) - a^(-10) + a^(-8) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + 
   z^2/a^10 + z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 41875] -> 1 - a^(-10) + 2/a^6 - a^(-2) + 2*z^2 - 
   (3*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41876] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (12*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41877] -> 9 - 4/a^2 - 4*a^2 + 23*z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41878] -> 9 - 4/a^2 - 4*a^2 + 23*z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 41879] -> a^(-2) - a^2 + a^4 + 5*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 13*z^4 - (5*z^4)/a^2 - 6*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41880] -> 7 - a^(-2) - 7*a^2 + 2*a^6 + 26*z^2 - 
   (10*z^2)/a^2 - 17*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 + 33*z^4 - 
   (13*z^4)/a^2 - 7*a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 21*z^6 - (6*z^6)/a^2 + 
   6*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41881] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41882] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41883] -> 4 - 4*a^2 + a^8 + 5*z^2 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - (4*z^4)/a^2 + 
   11*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   9*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 41884] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41885] -> 1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 41886] -> 
  a^(-4) - a^(-2) + a^2 + 2*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   a^4*z^4 + 3*z^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 41887] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 
   5*a^2*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 
   5*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 41888] -> -3 + a^(-4) + 4*a^2 - a^4 - 9*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 8*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 41889] -> -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - 2*z^2 - 
   z^2/a^6 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[15, Alternating, 41890] -> 2 + a^(-4) - 2/a^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41891] -> 3 + a^(-4) - a^(-2) - 3*a^2 - a^4 + 2*a^6 + 
   2*z^2 - (2*z^2)/a^6 + z^2/a^4 - 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 41892] -> 
  a^(-4) - a^4 + a^8 - z^2/a^6 - z^2/a^4 - a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 
   4*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[15, Alternating, 41893] -> a^(-6) - a^(-4) + a^2 - 3*z^2 - z^2/a^6 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41894] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 41895] -> 
  3 + 2/a^4 - 4/a^2 + 8*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - 
   (17*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - 
   (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 41896] -> 1 + 3*z^2 - z^2/a^4 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 12*a^2*z^4 + 
   5*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41897] -> 5 - 2/a^2 - 2*a^2 + 17*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 41898] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 6*z^2 - 15*a^2*z^2 + 6*a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + 8*z^4 - 22*a^2*z^4 + 6*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 15*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 41899] -> 3 - 4*a^2 + a^4 + 2*a^6 - a^8 + z^2/a^2 - 
   7*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41900] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + 3*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 41901] -> -1 + 2/a^8 - 4/a^6 + 4/a^2 - 
   4*z^2 + (6*z^2)/a^8 - (16*z^2)/a^6 + (6*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + 
   (8*z^4)/a^8 - (22*z^4)/a^6 + (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41902] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41903] -> 4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 15*z^2 - 
   (5*z^2)/a^2 - 9*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 21*z^4 - (8*z^4)/a^2 - 
   8*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 41904] -> 5 - a^(-2) - 3*a^2 - 2*a^4 + 
   2*a^6 + 6*z^2 - z^2/a^4 - 6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41905] -> a^(-2) - a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - 
   (6*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41906] -> a^(-2) - a^2 + a^4 - 3*z^2 + a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + 3*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41907] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + (3*z^2)/a^2 + 4*a^4*z^2 - a^8*z^2 - 
   6*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 41908] -> -a^(-14) + 4/a^12 - 4/a^10 - 
   3/a^8 + 5/a^6 - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + 
   (8*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41909] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 8*z^2 - 18*a^2*z^2 + 8*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + 9*z^4 - 25*a^2*z^4 + 4*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 16*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 41910] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 6*z^2 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 41911] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41912] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - a^2*z^2 + 
   z^4 + (2*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41913] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 41914] -> -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41915] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 41916] -> 
  3 - 4*a^2 + a^4 + 2*a^6 - a^8 + 2*z^2 - 6*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 41917] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 41918] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 - (3*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 41919] -> 1 - a^(-10) + 2/a^6 - a^(-2) + 
   2*z^2 - (3*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41920] -> 1 - a^(-6) + 2/a^2 - a^2 + 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41921] -> 11 - 5/a^2 - 5*a^2 + 32*z^2 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 - (8*z^2)/a^2 - 14*a^2*z^2 + 37*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + z^4/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 41922] -> 
  -a^2 + 5*a^4 - 3*a^6 - 5*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 18*a^4*z^2 - 
   8*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - a^2*z^4 + 24*a^4*z^4 - 9*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 41923] -> 
  -1 + 3*a^2 - a^6 - 3*z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 - 3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41924] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 9*z^2 + (7*z^2)/a^4 - (19*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + (9*z^4)/a^4 - (24*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41925] -> -1 + 2/a^8 - 4/a^6 + 4/a^2 - 4*z^2 + 
   (6*z^2)/a^8 - (16*z^2)/a^6 + (6*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + 
   (8*z^4)/a^8 - (22*z^4)/a^6 + (6*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 41926] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   6*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (5*z^4)/a^6 + (14*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41927] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41928] -> 
  6 - a^(-2) - 5*a^2 - a^4 + 2*a^6 + 18*z^2 - (7*z^2)/a^2 - 11*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 + 24*z^4 - (9*z^4)/a^2 - 6*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 41929] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41930] -> -1 + 2/a^8 - 4/a^6 + 4/a^2 + (3*z^2)/a^8 - 
   (6*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41931] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 41932] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41933] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (7*z^2)/a^14 + (2*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 41934] -> 2 + a^(-4) - 2/a^2 + 7*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (14*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 + z^4/a^4 - (23*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 41935] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 41936] -> 
  -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 4*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41937] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41938] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 4*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   7*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41939] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + (2*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41940] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + z^4/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41941] -> -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41942] -> a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 41943] -> 
  2*a^2 - a^4 + 3*z^2 + z^2/a^6 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   7*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41944] -> a^(-6) - a^(-4) + a^2 - 3*z^2 - z^2/a^6 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 41945] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (3*z^2)/a^2 + 4*a^4*z^2 - a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41946] -> 
  a^(-2) - a^2 + a^4 + 3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - (13*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41947] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + 
   (21*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (23*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 41948] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + 
   z^2/a^12 - (4*z^2)/a^10 + (6*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (6*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41949] -> 2 - 2*a^2 + a^4 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 
   13*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 41950] -> 1 - a^2 + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 8*a^4*z^2 - 4*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 41951] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   z^2/a^6 - (3*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 41952] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 
   4*a^2 - 14*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 
   16*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41953] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 41954] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41955] -> 
  -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - z^2 + (5*z^2)/a^4 - (12*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41956] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 6*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41957] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2 + z^2/a^10 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41958] -> -4 + a^(-8) - 4/a^6 + 8/a^2 - 12*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (15*z^2)/a^4 + (19*z^2)/a^2 - 13*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (35*z^4)/a^4 + (21*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (32*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41959] -> 3 - a^(-6) + a^(-2) - 2*a^2 + 6*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (10*z^4)/a^6 + (10*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 41960] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (17*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (19*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 41961] -> 
  -a^(-10) + 3/a^4 - a^(-2) + z^2/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (5*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 41962] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (12*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 41963] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 41964] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41965] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 41966] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   12*z^2 + (4*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 41967] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 41968] -> 4 - a^(-4) - 2*a^2 + 14*z^2 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (7*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 41969] -> 
  2 - a^(-2) + a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 41970] -> 
  -4 - a^(-6) + 5/a^4 - 3/a^2 + 4*a^2 - 18*z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 - 
   (5*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 41971] -> 
  2 + a^(-8) - a^(-6) - a^(-2) + 3*z^2 - z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41972] -> -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - 5*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 41973] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 41974] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^8 - 
   (3*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41975] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + a^2*z^2 - 
   4*a^4*z^2 + 21*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   17*a^4*z^4 + 31*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   15*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 41976] -> 3*a^6 - 2*a^8 + a^10 - a^12 + 
   a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   3*a^2*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 41977] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 41978] -> a^(-16) - 4/a^14 + 4/a^12 - 
   4/a^10 + 4/a^8 - (10*z^2)/a^14 + (12*z^2)/a^12 - (2*z^2)/a^10 + 
   (12*z^2)/a^8 - (2*z^4)/a^16 - (6*z^4)/a^14 + (19*z^4)/a^12 + 
   (8*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (13*z^6)/a^12 + 
   (8*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 41979] -> -a^(-14) + a^(-10) - a^(-8) + 
   2/a^6 - z^2/a^16 - (3*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + (7*z^4)/a^12 + (7*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 41980] -> 
  -2 + a^(-4) - 2/a^2 + 8*a^2 - 4*a^4 - 3*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 
   20*a^2*z^2 - 8*a^4*z^2 - 5*z^4 + (8*z^4)/a^4 - (17*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 41981] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 7*z^2 + 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 41982] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + 
   z^2/a^6 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 41983] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 41984] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 41985] -> 
  -a^(-6) + a^(-4) + a^(-2) - 4*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (9*z^2)/a^4 + (5*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (24*z^4)/a^6 + 
   (24*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (26*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 41986] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 41987] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (16*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (27*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (17*z^6)/a^4 + 
   (10*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 41988] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41989] -> -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   z^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 41990] -> -4 + 3/a^4 - 2/a^2 + 4*a^2 - 10*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 41991] -> 
  -1 + a^(-6) - a^2 + 2*a^4 - 5*z^2 - z^2/a^8 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + (5*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 41992] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 8*z^2 + 
   z^2/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 41993] -> 
  -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 41994] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   6*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 3*z^4 + 
   (7*z^4)/a^4 - (14*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 41995] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^4 - (2*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 41996] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (4*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 41997] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 41998] -> 
  2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 
   4*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 41999] -> 
  1 - a^2 + 2*a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 42000] -> 
  -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - z^2 + (5*z^2)/a^4 - (12*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42001] -> -2 + 2/a^8 - 4/a^6 - a^(-4) + 6/a^2 - 
   5*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - 
   (15*z^4)/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42002] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 4*a^2 - 
   14*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - 
   (6*z^4)/a^6 + (14*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42003] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (3*z^4)/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42004] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (13*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42005] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 4*z^2 + z^2/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42006] -> 
  -a^(-4) + 2/a^2 - 8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42007] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 42008] -> 
  4 - a^(-4) - 2*a^2 + 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42009] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (6*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42010] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   7*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (15*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (6*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42011] -> -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42012] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42013] -> -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   14*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 42014] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   8*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 11*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42015] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 9*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 + 
   a^2*z^2 - 15*z^4 - z^4/a^6 - (7*z^4)/a^4 + (22*z^4)/a^2 + 4*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42016] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - 5*z^4 + 
   (7*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42017] -> -a^(-10) - a^(-8) + 3/a^6 + (3*z^2)/a^12 - 
   (11*z^2)/a^10 + (7*z^2)/a^8 + (11*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^12 - 
   (22*z^4)/a^10 + (23*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (25*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42018] -> -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42019] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 - 2*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42020] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 4*z^2 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42021] -> -a^(-10) + 4/a^8 - a^(-6) - 7/a^4 + 6/a^2 - 
   (5*z^2)/a^10 + (15*z^2)/a^8 - (5*z^2)/a^6 - (20*z^2)/a^4 + (11*z^2)/a^2 - 
   (8*z^4)/a^10 + (19*z^4)/a^8 - (2*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (6*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42022] -> 3 + a^(-8) - a^(-4) - 2/a^2 + 4*z^2 - 
   z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (8*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42023] -> 
  2 - a^(-10) + 4/a^8 - 2/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 - (10*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42024] -> 1 + a^(-8) - a^(-4) - a^(-2) + a^2 - z^2 - 
   z^2/a^10 + (2*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (4*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42025] -> 
  2 - 2*a^2 + a^4 + z^2 - z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   z^4 - (2*z^4)/a^6 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42026] -> 4*a^6 - 3*a^8 + z^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 6*z^4 - 11*a^2*z^4 + 19*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 12*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 42027] -> a^4 + 2*a^6 - 2*a^8 - 2*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42028] -> 
  2*a^4 - a^8 - z^2 + 5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42029] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   17*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   27*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   18*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 42030] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 18*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (29*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 42031] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 42032] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 10*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42033] -> -3 - 2/a^4 + 5/a^2 + a^2 - 18*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 21*z^4 - z^4/a^4 + 
   (12*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 + (2*z^6)/a^4 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42034] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (3*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42035] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 20*z^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 + (2*z^6)/a^4 - z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42036] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (10*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (14*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42037] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42038] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42039] -> -2/a^6 + 3/a^4 - 4*z^2 + (4*z^2)/a^8 - 
   (17*z^2)/a^6 + (20*z^2)/a^4 - 8*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (37*z^4)/a^4 + (4*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (32*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 42040] -> 
  -3/a^10 + 3/a^8 + a^(-6) + (3*z^2)/a^12 - (16*z^2)/a^10 + (19*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + (36*z^4)/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (31*z^6)/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 42041] -> 
  -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + (6*z^2)/a^8 + 
   (9*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (8*z^4)/a^8 + 
   (13*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42042] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (6*z^2)/a^14 + (24*z^2)/a^12 - (25*z^2)/a^10 - z^2/a^8 + (14*z^2)/a^6 - 
   (5*z^4)/a^14 + (37*z^4)/a^12 - (48*z^4)/a^10 - (4*z^4)/a^8 + 
   (16*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (40*z^6)/a^10 - (10*z^6)/a^8 + 
   (7*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 42043] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (8*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (10*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42044] -> a^(-8) - 2/a^6 + 2/a^2 - (4*z^2)/a^10 + 
   (20*z^2)/a^8 - (23*z^2)/a^6 + (7*z^2)/a^2 - (4*z^4)/a^10 + (32*z^4)/a^8 - 
   (47*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (17*z^6)/a^8 - 
   (38*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42045] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (16*z^4)/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42046] -> a^(-4) - a^(-2) + a^2 + z^2 - (3*z^2)/a^6 + 
   (18*z^2)/a^4 - (23*z^2)/a^2 + 5*a^2*z^2 - 2*z^4 - (4*z^4)/a^6 + 
   (30*z^4)/a^4 - (46*z^4)/a^2 + 8*a^2*z^4 - 7*z^6 - z^6/a^6 + (17*z^6)/a^4 - 
   (37*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (14*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 42047] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   (15*z^2)/a^2 + 3*a^2*z^2 - z^4/a^8 + (7*z^4)/a^6 - (2*z^4)/a^4 - 
   (20*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 42048] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + 10*z^2 - 
   38*a^2*z^2 + 50*a^4*z^2 - 18*a^6*z^2 + 15*z^4 - 70*a^2*z^4 + 93*a^4*z^4 - 
   30*a^6*z^4 + 7*z^6 - 52*a^2*z^6 + 83*a^4*z^6 - 23*a^6*z^6 + z^8 - 
   17*a^2*z^8 + 40*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 42049] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 - 5*z^2 + (3*z^2)/a^2 - 9*a^2*z^2 + 24*a^4*z^2 - 
   10*a^6*z^2 - 14*z^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 31*a^4*z^4 - 12*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 6*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42050] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 10*z^2 + 
   (4*z^2)/a^2 + a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   7*a^2*z^4 + 20*a^4*z^4 - 9*a^6*z^4 - 10*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 42051] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 6*z^2 + z^2/a^4 + 3*a^2*z^2 + 9*a^4*z^2 - 
   5*a^6*z^2 - 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 + 8*a^4*z^4 - 
   4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 42052] -> 
  1 - a^2 + 2*a^4 - a^6 - 5*z^2 + (3*z^2)/a^2 - 4*a^2*z^2 + 12*a^4*z^2 - 
   5*a^6*z^2 - 14*z^4 + (4*z^4)/a^2 + a^2*z^4 + 18*a^4*z^4 - 8*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 7*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42053] -> 2 - 3*a^2 + 3*a^4 - a^6 - 4*z^2 + z^2/a^4 + 
   6*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 42054] -> 
  -2*a^2 + 8*a^4 - 6*a^6 + a^8 - 13*a^2*z^2 + 46*a^4*z^2 - 43*a^6*z^2 + 
   14*a^8*z^2 - 16*a^2*z^4 + 75*a^4*z^4 - 88*a^6*z^4 + 29*a^8*z^4 - 
   7*a^2*z^6 + 53*a^4*z^6 - 82*a^6*z^6 + 23*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 
   40*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 42055] -> -3*a^2 + 9*a^4 - 5*a^6 + 6*z^2 - 
   33*a^2*z^2 + 55*a^4*z^2 - 22*a^6*z^2 + 11*z^4 - 62*a^2*z^4 + 101*a^4*z^4 - 
   34*a^6*z^4 + 6*z^6 - 47*a^2*z^6 + 88*a^4*z^6 - 24*a^6*z^6 + z^8 - 
   16*a^2*z^8 + 41*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 42056] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 39*z^2 - (9*z^2)/a^2 - 49*a^2*z^2 + 
   19*a^4*z^2 + 66*z^4 - (12*z^4)/a^2 - 97*a^2*z^4 + 33*a^4*z^4 + 48*z^6 - 
   (6*z^6)/a^2 - 87*a^2*z^6 + 24*a^4*z^6 + 16*z^8 - z^8/a^2 - 41*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 42057] -> 9 - 4/a^2 - 4*a^2 + 52*z^2 + (8*z^2)/a^4 - 
   (36*z^2)/a^2 - 20*a^2*z^2 + 98*z^4 + (12*z^4)/a^4 - (65*z^4)/a^2 - 
   33*a^2*z^4 + 87*z^6 + (6*z^6)/a^4 - (48*z^6)/a^2 - 24*a^2*z^6 + 41*z^8 + 
   z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 42058] -> 7 - 3/a^2 - 3*a^2 + 19*z^2 + 
   (4*z^2)/a^4 - (16*z^2)/a^2 - 4*a^4*z^2 + 22*z^4 + (4*z^4)/a^4 - 
   (21*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 15*z^6 + z^6/a^4 - (11*z^6)/a^2 + 
   13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 42059] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 - 4*z^2 + 6*a^2*z^2 + 14*a^4*z^2 - 22*a^6*z^2 + 
   9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 5*a^4*z^4 - 30*a^6*z^4 + 12*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 6*a^4*z^6 - 20*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 42060] -> -2*a^2 + 7*a^4 - 4*a^6 - 6*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 26*a^4*z^2 - 12*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 33*a^4*z^4 - 13*a^6*z^4 - 9*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   21*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 42061] -> 
  3 - a^(-2) - a^2 + 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 11*a^2*z^2 + 
   6*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 19*a^2*z^4 + 9*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42062] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 19*z^2 - 
   (9*z^2)/a^6 + (39*z^2)/a^4 - (49*z^2)/a^2 + 33*z^4 - (12*z^4)/a^6 + 
   (66*z^4)/a^4 - (97*z^4)/a^2 + 24*z^6 - (6*z^6)/a^6 + (48*z^6)/a^4 - 
   (87*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (41*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 42063] -> 
  -5/a^6 + 9/a^4 - 3/a^2 + (6*z^2)/a^8 - (34*z^2)/a^6 + (55*z^2)/a^4 - 
   (21*z^2)/a^2 + (11*z^4)/a^8 - (62*z^4)/a^6 + (101*z^4)/a^4 - 
   (34*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + (88*z^6)/a^4 - (24*z^6)/a^2 + 
   z^8/a^8 - (16*z^8)/a^6 + (41*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + 
   (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 42064] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - 6*z^2 + (4*z^2)/a^8 - (18*z^2)/a^6 + 
   (22*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + 
   (25*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42065] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 4*z^2 - (5*z^2)/a^6 + (21*z^2)/a^4 - 
   (19*z^2)/a^2 + 6*a^2*z^2 - 14*z^4 - (4*z^4)/a^6 + (23*z^4)/a^4 - 
   (24*z^4)/a^2 + 9*a^2*z^4 - 14*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (16*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 42066] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 6*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + (11*z^4)/a^4 + 
   (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 42067] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - 2*z^2 + z^2/a^10 - (6*z^2)/a^8 + (16*z^2)/a^6 - (19*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (22*z^4)/a^6 - 
   (28*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (18*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 42068] -> -1 + 2*a^2 + 3*a^4 - 4*a^6 + 
   a^8 - 6*z^2 + 14*a^2*z^2 + 3*a^4*z^2 - 15*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 
   22*a^2*z^4 - 6*a^4*z^4 - 23*a^6*z^4 + 11*a^8*z^4 - z^6 + 12*a^2*z^6 - 
   11*a^4*z^6 - 18*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 42069] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 12*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + 17*a^4*z^2 - 
   10*a^6*z^2 - 19*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 + 26*a^4*z^4 - 12*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 13*a^2*z^6 + 19*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42070] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 - 3*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 16*a^2*z^2 + 9*a^4*z^2 - 12*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 25*a^2*z^4 + 12*a^4*z^4 - 13*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 19*a^2*z^6 + 6*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 42071] -> 
  4 - a^(-4) - 2*a^2 + 16*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - 
   9*a^2*z^2 + 25*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - 
   12*a^2*z^4 + 19*z^6 + z^6/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 - 6*a^2*z^6 + 
   7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 42072] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - a^2*z^2 - 2*a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + 2*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42073] -> -1 + 3*a^2 + a^4 - 3*a^6 + a^8 + z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 10*a^4*z^4 - 6*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 8*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42074] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 13*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 42075] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 13*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 42076] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   10*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 - (17*z^2)/a^2 + 
   12*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - (13*z^4)/a^4 - (26*z^4)/a^2 + 
   6*z^6 - z^6/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 - (19*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 42077] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   (3*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (15*z^2)/a^4 - (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (11*z^4)/a^6 + (23*z^4)/a^4 - (11*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (12*z^6)/a^6 + (18*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 42078] -> -a^(-8) + 2/a^4 - 2*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^4 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (12*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42079] -> 1 - a^(-8) + 2/a^6 + a^(-4) - 3/a^2 + a^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - z^4/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 42080] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42081] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42082] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 + z^2 - 3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   7*z^4 - (4*z^4)/a^2 - a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 9*z^6 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42083] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + z^2 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   8*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42084] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 42085] -> a^2 - a^4 + 4*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 19*a^6*z^2 - 11*a^8*z^2 + 
   2*a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 24*a^4*z^4 + 25*a^6*z^4 - 10*a^8*z^4 + 
   a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 42086] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 18*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 24*a^2*z^4 - 25*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42087] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 - z^2 + 8*a^2*z^2 - 15*a^4*z^2 + 20*a^6*z^2 - 
   9*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 13*a^2*z^4 - 26*a^4*z^4 + 24*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 17*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 42088] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42089] -> 
  4 + a^(-6) + a^(-4) - 5/a^2 + 14*z^2 - z^2/a^6 + (15*z^2)/a^4 - 
   (32*z^2)/a^2 + 16*z^4 - (13*z^4)/a^6 + (43*z^4)/a^4 - (59*z^4)/a^2 + 
   7*z^6 - (16*z^6)/a^6 + (52*z^6)/a^4 - (46*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (31*z^8)/a^4 - (16*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 42090] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 
   24*z^2 - (6*z^2)/a^2 - 35*a^2*z^2 + 13*a^4*z^2 + 56*z^4 - (17*z^4)/a^2 - 
   62*a^2*z^4 + 16*a^4*z^4 + 58*z^6 - (17*z^6)/a^2 - 47*a^2*z^6 + 7*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 42091] -> 
  2 + a^(-6) + a^(-4) - 4/a^2 + a^2 - 2*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (15*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (7*z^4)/a^6 + (17*z^4)/a^4 - 
   (12*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 42092] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 
   5*a^2*z^2 + 26*a^4*z^2 - 34*a^6*z^2 + 13*a^8*z^2 - 17*a^2*z^4 + 
   56*a^4*z^4 - 62*a^6*z^4 + 16*a^8*z^4 - 17*a^2*z^6 + 58*a^4*z^6 - 
   47*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 42093] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 
   5*a^2*z^2 + 5*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 8*a^2*z^4 + 
   8*a^4*z^4 - 21*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 42094] -> 
  2 + a^(-2) - 4*a^2 + a^4 + a^6 + 12*z^2 - (4*z^2)/a^2 - 13*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + 20*z^4 - (8*z^4)/a^2 - 9*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 42095] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42096] -> 
  a^6 + 4*a^8 - 5*a^10 + a^12 + 2*a^6*z^2 + 25*a^8*z^2 - 29*a^10*z^2 + 
   10*a^12*z^2 - 9*a^6*z^4 + 52*a^8*z^4 - 55*a^10*z^4 + 15*a^12*z^4 - 
   15*a^6*z^6 + 54*a^8*z^6 - 45*a^10*z^6 + 7*a^12*z^6 - 7*a^6*z^8 + 
   31*a^8*z^8 - 16*a^10*z^8 + a^12*z^8 - a^6*z^10 + 9*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 42097] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 + a^4*z^2 + 7*a^6*z^2 + 7*a^8*z^2 - 
   14*a^10*z^2 + 6*a^12*z^2 - 3*a^4*z^4 + 8*a^6*z^4 + 8*a^8*z^4 - 
   19*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 8*a^8*z^6 - 
   11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 42098] -> 
  3*a^6 - 3*a^10 + a^12 + 11*a^6*z^2 - a^8*z^2 - 8*a^10*z^2 + 4*a^12*z^2 - 
   4*a^4*z^4 + 13*a^6*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   10*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42099] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (16*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42100] -> -5 + 3/a^2 + 3*a^2 - 13*z^2 + (2*z^2)/a^4 + 
   z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42101] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42102] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 11*z^2 + 
   (5*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 42103] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 + 
   z^4/a^8 + (4*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42104] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42105] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42106] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42107] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 + 5*z^4 - (5*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42108] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (4*z^2)/a^12 - (20*z^2)/a^10 + 
   (21*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + 
   (39*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (32*z^6)/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42109] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42110] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42111] -> 
  -2/a^10 + a^(-8) + 2/a^6 + (3*z^2)/a^12 - (14*z^2)/a^10 + (13*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (24*z^4)/a^10 + (29*z^4)/a^8 + 
   (13*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + 
   (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 42112] -> 
  -2/a^10 + 2/a^8 + a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (10*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42113] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - (4*z^2)/a^10 + (23*z^2)/a^8 - 
   (25*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (32*z^4)/a^8 - 
   (46*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^10 + (17*z^6)/a^8 - 
   (37*z^6)/a^6 - (13*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42114] -> 1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - (9*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (11*z^4)/a^6 - 
   (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42115] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - 
   (6*z^2)/a^14 + (19*z^2)/a^12 - (19*z^2)/a^10 + (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^4)/a^14 + (30*z^4)/a^12 - (33*z^4)/a^10 + z^4/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (30*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 42116] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (9*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42117] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   7*z^2 + (4*z^2)/a^8 - (22*z^2)/a^6 + (25*z^2)/a^4 + (4*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (32*z^4)/a^6 + (48*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (38*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42118] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 - (6*z^2)/a^6 + (14*z^2)/a^4 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + z^4/a^6 + (19*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 42119] -> 4*a^4 - 4*a^6 + a^8 - 4*z^2 + 
   10*a^2*z^2 + 2*a^4*z^2 - 12*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 
   6*a^4*z^4 - 19*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 42120] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   23*a^2*z^2 + 11*a^4*z^2 - z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 32*a^2*z^4 + 
   13*a^4*z^4 - 8*z^6 - z^6/a^4 + (9*z^6)/a^2 - 21*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42121] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 3*z^2 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 7*z^4 - 
   (4*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 - (13*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 - (13*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 42122] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 42123] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - (3*z^2)/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (13*z^4)/a^12 + 
   z^4/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - 
   (6*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 42124] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42125] -> -1 + 4*a^2 - a^4 - 2*a^6 + a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42126] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 7*z^2 - 
   z^2/a^6 + z^2/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 12*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 8*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 42127] -> -a^(-10) + 3/a^8 + a^(-6) - 8/a^4 + 6/a^2 - 
   (7*z^2)/a^10 + (15*z^2)/a^8 + (2*z^2)/a^6 - (24*z^2)/a^4 + (11*z^2)/a^2 - 
   (11*z^4)/a^10 + (23*z^4)/a^8 + (7*z^4)/a^6 - (28*z^4)/a^4 + (6*z^4)/a^2 - 
   (6*z^6)/a^10 + (18*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (7*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42128] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 4*z^2 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (8*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 - (4*z^4)/a^10 + (4*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 - 
   (8*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42129] -> -4 - a^(-6) + 3/a^4 + 3*a^2 - 15*z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (8*z^4)/a^6 + (16*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42130] -> 2 - a^(-10) + 3/a^8 - 4/a^4 + a^(-2) + 
   3*z^2 - (4*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (6*z^4)/a^8 + (10*z^4)/a^6 - 
   (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42131] -> 1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42132] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42133] -> 
  3 - a^(-2) - a^2 + 11*z^2 - (5*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 
   17*z^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - 
   (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42134] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42135] -> 
  a^6 - a^8 + 4*a^10 - 2*a^12 - a^14 + 7*a^6*z^2 - 4*a^8*z^2 + 13*a^10*z^2 + 
   4*a^12*z^2 - 6*a^14*z^2 + 11*a^6*z^4 - 8*a^8*z^4 + 9*a^10*z^4 + 
   16*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 11*a^8*z^6 - 4*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 42136] -> 
  2*a^6 - 2*a^8 + 4*a^10 - 3*a^12 + 3*a^2*z^2 - 4*a^4*z^2 + 14*a^6*z^2 - 
   14*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 
   20*a^6*z^4 - 25*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 
   14*a^6*z^6 - 16*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 42137] -> a^6 + 2*a^10 - a^12 - a^14 + 
   2*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 7*a^10*z^2 + 2*a^12*z^2 - 3*a^14*z^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + 6*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 42138] -> 
  2*a^6 - a^8 + 2*a^10 - 2*a^12 + z^2 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 
   3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - a^4*z^4 - 
   7*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 42139] -> 
  a^6 + a^8 - a^14 + 2*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 + 5*a^10*z^2 + 
   a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 - a^8*z^4 + 6*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 42140] -> 
  2/a^2 - 4*a^2 + 3*a^4 - 2*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 16*a^2*z^2 + 
   7*a^4*z^2 + 2*z^4 - (8*z^4)/a^4 + (18*z^4)/a^2 - 20*a^2*z^4 + 5*a^4*z^4 + 
   7*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 42141] -> 2/a^2 - 3*a^2 + a^4 + a^6 + 2*z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42142] -> 3*a^6 - 3*a^10 + a^12 + a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 5*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - 2*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42143] -> a^(-16) - 4/a^14 + 4/a^10 - (15*z^2)/a^14 + 
   (13*z^2)/a^12 + (15*z^2)/a^10 + (3*z^2)/a^8 - (3*z^4)/a^16 - 
   (10*z^4)/a^14 + (29*z^4)/a^12 + (23*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (20*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 42144] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) - z^2/a^16 - (7*z^2)/a^14 + 
   (5*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (10*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 42145] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (32*z^2)/a^14 + (31*z^2)/a^12 + (13*z^2)/a^10 - 
   (2*z^4)/a^16 - (34*z^4)/a^14 + (67*z^4)/a^12 + (22*z^4)/a^10 - 
   (4*z^6)/a^16 - (8*z^6)/a^14 + (58*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 42146] -> 2/a^16 - 7/a^14 + 4/a^12 + 
   a^(-10) + a^(-8) + z^2/a^16 - (16*z^2)/a^14 + (12*z^2)/a^12 + 
   (14*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - (10*z^4)/a^14 + 
   (21*z^4)/a^12 + (27*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 42147] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + 
   z^2/a^4 + 6*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42148] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 27*z^2 - 
   (6*z^2)/a^2 - 36*a^2*z^2 + 14*a^4*z^2 + 47*z^4 - (8*z^4)/a^2 - 
   72*a^2*z^4 + 25*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 42149] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 17*a^2*z^2 + 
   8*a^4*z^2 - z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42150] -> -4*a^2 + 11*a^4 - 6*a^6 + 3*z^2 - 
   31*a^2*z^2 + 61*a^4*z^2 - 26*a^6*z^2 + 7*z^4 - 55*a^2*z^4 + 109*a^4*z^4 - 
   38*a^6*z^4 + 5*z^6 - 42*a^2*z^6 + 93*a^4*z^6 - 25*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 42151] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 7*z^2 + z^2/a^2 - 2*a^2*z^2 + 28*a^4*z^2 - 
   14*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 35*a^4*z^4 - 14*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42152] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (13*z^4)/a^8 - (18*z^4)/a^6 - (11*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 42153] -> 
  -a^(-4) + 2/a^2 - z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^10 + (9*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 42154] -> -1 + a^(-2) + a^2 - 6*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42155] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 
   5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42156] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42157] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 27*z^2 + (6*z^2)/a^4 - (24*z^2)/a^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 45*z^4 + (5*z^4)/a^4 - (34*z^4)/a^2 - a^2*z^4 - 
   7*a^4*z^4 + 36*z^6 + z^6/a^4 - (18*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + 
   14*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 42158] -> 4 + a^(-4) - 3/a^2 - a^2 + 13*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 18*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 - a^2*z^4 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42159] -> 2 + a^(-4) - 2/a^2 + 7*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42160] -> 6 - a^(-2) - 6*a^2 + a^4 + a^6 + 28*z^2 - 
   (6*z^2)/a^2 - 32*a^2*z^2 + 7*a^6*z^2 + 38*z^4 - (5*z^4)/a^2 - 53*a^2*z^4 - 
   7*a^4*z^4 + 11*a^6*z^4 + 19*z^6 - z^6/a^2 - 41*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 + 3*z^8 - 15*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - 2*a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 42161] -> 4 - 5*a^2 + a^4 + a^6 + 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 18*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - z^4 - 
   z^4/a^4 + (9*z^4)/a^2 - 23*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 6*z^6 + 
   (3*z^6)/a^2 - 14*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 42162] -> 4*a^4 - 4*a^6 + a^8 - 2*z^2 + 
   3*a^2*z^2 + 11*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   6*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 42163] -> 
  2 + a^(-2) - 4*a^2 + a^4 + a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 15*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - 5*z^4 - z^4/a^4 + (9*z^4)/a^2 - 19*a^2*z^4 + 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   2*z^8 - 3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42164] -> 
  3 - 4*a^2 + 2*a^4 + 6*z^2 - z^2/a^4 + (3*z^2)/a^2 - 19*a^2*z^2 + 
   9*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42165] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 33*z^2 + 
   (9*z^2)/a^4 - (30*z^2)/a^2 - 11*a^2*z^2 + 65*z^4 + (12*z^4)/a^4 - 
   (54*z^4)/a^2 - 21*a^2*z^4 + 63*z^6 + (6*z^6)/a^4 - (42*z^6)/a^2 - 
   18*a^2*z^6 + 33*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 42166] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 15*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (8*z^2)/a^2 - 6*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 42167] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 5*z^2 + 
   (5*z^2)/a^4 - (10*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + 
   (8*z^4)/a^4 - (16*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42168] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 6*z^2 - 12*a^2*z^2 + a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + 8*z^4 - 18*a^2*z^4 - 5*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 14*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 42169] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42170] -> 4*a^2 - 4*a^4 + a^6 - a^8 + a^10 - 3*z^2 + 
   13*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 
   16*a^2*z^4 - 26*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   10*a^2*z^6 - 16*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 42171] -> 
  1 + 2*a^2 - 3*a^4 + a^6 - a^8 + a^10 + 2*z^2 - z^2/a^2 + a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42172] -> 
  3 + a^(-2) - 7*a^2 + 4*a^4 + 23*z^2 - (4*z^2)/a^2 - 40*a^2*z^2 + 
   16*a^4*z^2 + 53*z^4 - (16*z^4)/a^2 - 66*a^2*z^4 + 17*a^4*z^4 + 57*z^6 - 
   (17*z^6)/a^2 - 48*a^2*z^6 + 7*a^4*z^6 + 32*z^8 - (7*z^8)/a^2 - 
   16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 42173] -> -2 + 3/a^2 - 3*a^2 + 3*a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 13*a^2*z^2 + 7*a^4*z^2 - 2*z^4 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 - 19*a^2*z^4 + 5*a^4*z^4 + 6*z^6 - 
   (5*z^6)/a^4 + (13*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 42174] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 - 2*z^2 + 6*a^2*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 
   5*z^4 + 10*a^2*z^4 + 2*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 
   10*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42175] -> 3 + a^(-2) - 6*a^2 + 2*a^4 + a^6 + 12*z^2 - 
   (3*z^2)/a^2 - 16*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 + 19*z^4 - (8*z^4)/a^2 - 
   11*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 42176] -> -2 + 3/a^2 - 2*a^2 + a^4 + a^6 - 
   z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 
   5*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42177] -> 3*a^6 - 3*a^10 + a^12 - a^4*z^2 + 
   12*a^6*z^2 - 9*a^10*z^2 + 4*a^12*z^2 - 4*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - 
   13*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 42178] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 42179] -> 
  a^(-6) - a^(-4) + a^2 - 9*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 16*z^4 - (7*z^4)/a^6 + (12*z^4)/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42180] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (13*z^4)/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (13*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42181] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 
   5*z^2 - (4*z^2)/a^2 + 5*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 15*z^4 - 
   (8*z^4)/a^2 + 8*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42182] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (8*z^4)/a^4 - (15*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42183] -> a^(-6) - a^(-4) + a^2 - 5*z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42184] -> a^(-2) - a^2 + a^4 + 15*z^2 - (4*z^2)/a^2 - 
   21*a^2*z^2 + 8*a^4*z^2 + 40*z^4 - (12*z^4)/a^2 - 44*a^2*z^4 + 12*a^4*z^4 + 
   44*z^6 - (13*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 42185] -> a^2 + a^4 - a^6 - 3*a^2*z^2 + 17*a^4*z^2 - 
   20*a^6*z^2 + 8*a^8*z^2 - 12*a^2*z^4 + 40*a^4*z^4 - 44*a^6*z^4 + 
   12*a^8*z^4 - 13*a^2*z^6 + 44*a^4*z^6 - 37*a^6*z^6 + 6*a^8*z^6 - 
   6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 42186] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 37*z^2 + (9*z^2)/a^4 - (33*z^2)/a^2 - 
   13*a^2*z^2 + 63*z^4 + (18*z^4)/a^4 - (61*z^4)/a^2 - 16*a^2*z^4 + 47*z^6 + 
   (17*z^6)/a^4 - (59*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 42187] -> 5 + 2/a^4 - 5/a^2 - a^2 + 12*z^2 + 
   (5*z^2)/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + (8*z^4)/a^4 - 
   (21*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42188] -> 
  3 + 2/a^4 - 4/a^2 + 5*z^2 + (5*z^2)/a^4 - (14*z^2)/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + 2*z^4 + (6*z^4)/a^4 - (16*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42189] -> a^(-8) - 2/a^6 + 2/a^2 - (3*z^2)/a^10 + 
   (14*z^2)/a^8 - (15*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + 
   (22*z^4)/a^8 - (30*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (13*z^6)/a^8 - (26*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42190] -> 1 - 2/a^4 + 3/a^2 - a^2 - 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42191] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 42192] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - 
   (11*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 42193] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 
   8/a^2 - 7*z^2 + z^2/a^8 + (5*z^2)/a^6 - (18*z^2)/a^4 + (22*z^2)/a^2 - 
   9*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (2*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42194] -> 4 - 2/a^6 + 5/a^4 - 5/a^2 - a^2 + 9*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - 3*a^2*z^2 + 
   8*z^4 + z^4/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 42195] -> 3 - 2/a^2 + 5*a^2 - 8*a^4 + 
   3*a^6 + 16*z^2 - (7*z^2)/a^2 + 5*a^2*z^2 - 23*a^4*z^2 + 10*a^6*z^2 + 
   23*z^4 - (5*z^4)/a^2 - 5*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 + 12*z^6 - 
   z^6/a^2 - 11*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 42196] -> 
  -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 12*z^2 + (5*z^2)/a^8 - (15*z^2)/a^6 + 
   (2*z^2)/a^4 + (25*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (11*z^4)/a^4 + (30*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (13*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42197] -> 
  3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 7*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 9*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 13*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42198] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 6*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42199] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 9*z^2 - (2*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^4 + (5*z^4)/a^2 - 9*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42200] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 14*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 + 
   z^2/a^2 + 7*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (6*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42201] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   6*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (13*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (5*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42202] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 42203] -> 
  a^(-10) - 5/a^8 + 5/a^6 - (9*z^2)/a^8 + (20*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + (21*z^4)/a^6 - (16*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (6*z^6)/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42204] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 + (12*z^2)/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + 
   (16*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42205] -> 2 + a^(-8) - 2/a^4 + 3*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42206] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^10 + (7*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42207] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 - 
   (2*z^4)/a^8 + (17*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42208] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 + (4*z^4)/a^6 - 
   (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42209] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 + z^2/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42210] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42211] -> -a^(-4) + 2/a^2 - 3*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (14*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 42212] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 42213] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (4*z^2)/a^8 - (19*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (4*z^4)/a^8 - (26*z^4)/a^6 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - 
   (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 42214] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 42215] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 
   12*a^4*z^2 - 5*a^6*z^2 + 4*z^4 + z^4/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 
   11*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 42216] -> 
  -1 + 6*a^4 - 4*a^6 - 15*z^2 + (4*z^2)/a^2 + 8*a^2*z^2 + 21*a^4*z^2 - 
   12*a^6*z^2 - 21*z^4 + (4*z^4)/a^2 + 16*a^2*z^4 + 29*a^4*z^4 - 13*a^6*z^4 - 
   11*z^6 + z^6/a^2 + 14*a^2*z^6 + 20*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42217] -> 7 - 2/a^2 - 5*a^2 + a^6 + 26*z^2 - 
   (7*z^2)/a^2 - 20*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 + 29*z^4 - (5*z^4)/a^2 - 
   27*a^2*z^4 - 21*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - z^6/a^2 - 19*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 42218] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 10*a^2*z^2 + 
   3*a^6*z^2 + z^4 - z^4/a^4 + (6*z^4)/a^2 - 13*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42219] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 5*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (12*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (9*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42220] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (21*z^4)/a^8 + (24*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (16*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 42221] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42222] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42223] -> -2 + 4*a^2 + a^4 - 2*a^6 - 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 13*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 - z^4 + 
   z^4/a^4 - (6*z^4)/a^2 + 16*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 42224] -> 2 - a^(-4) + 2/a^2 - 3*a^2 + a^6 + 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 13*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - z^4/a^4 + 
   (8*z^4)/a^2 - 17*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   10*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42225] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   5*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 42226] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - a^2*z^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 42227] -> 2 + a^(-6) - a^(-4) - a^(-2) - z^2 - 
   z^2/a^4 - a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42228] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 + z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42229] -> 
  a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 4*a^2*z^2 - 8*a^4*z^2 + 
   15*a^6*z^2 - 14*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   15*a^4*z^4 + 22*a^6*z^4 - 23*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   10*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 42230] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - z^2/a^2 - 2*a^4*z^2 + 8*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42231] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 42232] -> 
  a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 8*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42233] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 + 
   5*a^4*z^2 - a^6*z^2 + 5*a^8*z^2 - 7*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + 4*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 42234] -> -2 + 2/a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42235] -> -5 + 3/a^2 + 3*a^2 - 17*z^2 + z^2/a^4 + 
   (5*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 18*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42236] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 17*z^2 + 
   (7*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 42237] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42238] -> 
  1 + a^2 - 2*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   10*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42239] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42240] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + (4*z^2)/a^8 - (18*z^2)/a^6 + 
   (20*z^2)/a^4 - 8*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + (37*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + (32*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 42241] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + z^2/a^10 - z^2/a^8 - 
   (7*z^2)/a^6 + (10*z^2)/a^4 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + (15*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42242] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42243] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 6*z^2 - 
   (4*z^2)/a^6 + (23*z^2)/a^4 - (26*z^2)/a^2 + 9*a^2*z^2 - 13*z^4 - 
   (4*z^4)/a^6 + (32*z^4)/a^4 - (46*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (17*z^6)/a^4 - (37*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 42244] -> 3/a^4 - 4/a^2 + 2*a^2 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (18*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 - (23*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 42245] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (4*z^2)/a^10 + (18*z^2)/a^8 - (18*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (26*z^4)/a^8 - (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 42246] -> -a^(-14) + 3/a^12 - 5/a^10 + 
   2/a^8 + 2/a^6 - (6*z^2)/a^14 + (18*z^2)/a^12 - (18*z^2)/a^10 + 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (30*z^4)/a^12 - (32*z^4)/a^10 + 
   (2*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (30*z^6)/a^10 - 
   (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 42247] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - (3*z^2)/a^14 + (9*z^2)/a^12 - 
   (7*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42248] -> 
  -a^(-4) + 2/a^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 
   4*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 - 16*a^2*z^4 + 8*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 42249] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^6 - z^2/a^4 + (9*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 10*z^4 - z^4/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 42250] -> 
  -a^(-12) + 2/a^6 - (4*z^2)/a^14 + (6*z^2)/a^12 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 42251] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - (2*z^2)/a^14 + z^2/a^12 + 
   (6*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (5*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42252] -> 
  -6 - a^(-6) + 3/a^4 + a^(-2) + 4*a^2 - 23*z^2 - (8*z^2)/a^6 + 
   (14*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 - (12*z^4)/a^6 + 
   (24*z^4)/a^4 + (12*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (6*z^6)/a^6 + 
   (19*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (7*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42253] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 8*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (9*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 3*z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   (14*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42254] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   7*z^2 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42255] -> 3 - a^(-2) - 2*a^4 + a^6 + 12*z^2 - 
   (6*z^2)/a^2 + a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 19*z^4 - (9*z^4)/a^2 + 
   6*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 42256] -> a^2 + a^6 - a^8 - z^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   2*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 42257] -> a^2 + a^4 - a^6 - z^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 42258] -> a^6 - a^8 + 3*a^10 - 2*a^14 + 6*a^6*z^2 - 
   a^8*z^2 + 9*a^10*z^2 + 8*a^12*z^2 - 7*a^14*z^2 + 11*a^6*z^4 - 6*a^8*z^4 + 
   6*a^10*z^4 + 18*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 11*a^8*z^6 - 
   5*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 42259] -> 
  a^6 - a^8 + 4*a^10 - 2*a^12 - a^14 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 
   11*a^10*z^2 + a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 5*a^8*z^4 + 
   8*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 42260] -> 3*a^6 - 3*a^8 + 3*a^10 - 2*a^12 + 
   4*a^2*z^2 - 6*a^4*z^2 + 15*a^6*z^2 - 14*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 21*a^6*z^4 - 24*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 42261] -> a^6 + a^10 + a^12 - 2*a^14 + a^4*z^2 + 
   5*a^6*z^2 + 2*a^8*z^2 + 5*a^10*z^2 + 4*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 
   3*a^6*z^4 - 2*a^8*z^4 + 5*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 42262] -> a^6 + 2*a^10 - a^12 - a^14 + 
   3*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 5*a^10*z^2 + a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 42263] -> a^6 + 3*a^10 - 3*a^12 + a^4*z^2 + 
   5*a^6*z^2 + 10*a^10*z^2 - 2*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 9*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 42264] -> a^6 + a^8 + a^10 - 2*a^12 + 3*a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 + 4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 42265] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 - 6*z^2 + 16*a^2*z^2 - 8*a^4*z^2 - 9*a^6*z^2 + 
   5*a^8*z^2 - 9*z^4 + 23*a^2*z^4 - 6*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 
   5*z^6 + 16*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42266] -> a^(-16) - 5/a^14 + 2/a^12 + 3/a^10 - 
   z^2/a^16 - (14*z^2)/a^14 + (16*z^2)/a^12 + (12*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^4)/a^16 - (8*z^4)/a^14 + (29*z^4)/a^12 + (21*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (19*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 42267] -> a^(-16) - 4/a^14 + 4/a^10 - z^2/a^16 - 
   (8*z^2)/a^14 + (6*z^2)/a^12 + (14*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (12*z^4)/a^12 + (17*z^4)/a^10 + (7*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 42268] -> -a^(-10) - a^(-8) + 3/a^6 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (7*z^4)/a^10 - (6*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (7*z^6)/a^10 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42269] -> -1 + a^(-2) + a^2 - 9*z^2 - z^2/a^6 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42270] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42271] -> 
  2 - 2*a^2 + a^4 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42272] -> 
  -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + z^2/a^2 - 5*a^2*z^2 + 20*a^4*z^2 - 
   9*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 42273] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 3*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (8*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 42274] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 + z^2/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42275] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - 3*z^2 + 
   7*a^2*z^2 + 3*a^4*z^2 - 15*a^6*z^2 + 6*a^8*z^2 - 6*z^4 + 12*a^2*z^4 + 
   4*a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 42276] -> -3 + 2/a^4 - 3/a^2 + 9*a^2 - 
   4*a^4 - 8*z^2 + (9*z^2)/a^4 - (16*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 
   13*z^4 + (12*z^4)/a^4 - (25*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42277] -> 
  2 - a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + 3*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42278] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + (8*z^4)/a^4 - (14*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42279] -> -1 + a^(-2) + a^2 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 42280] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 15*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 42281] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - 
   (14*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^10 - z^4/a^8 + (14*z^4)/a^6 - 
   (21*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42282] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 17*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   8*a^2*z^2 + 22*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 - 8*a^2*z^4 + 14*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 42283] -> 
  -3 - 2/a^6 + 6/a^2 - 9*z^2 + z^2/a^8 - (5*z^2)/a^6 + (19*z^2)/a^2 - 
   10*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + (25*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42284] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42285] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (14*z^2)/a^4 + (2*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (17*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (11*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42286] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (13*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 42287] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - 
   (4*z^4)/a^10 - (6*z^4)/a^8 + (22*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 + z^6/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42288] -> -2 - 3/a^4 + 6/a^2 - 11*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (25*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 42289] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - (12*z^2)/a^14 - (6*z^2)/a^12 + 
   (28*z^2)/a^10 - (3*z^4)/a^16 - (14*z^4)/a^14 + (19*z^4)/a^12 + 
   (38*z^4)/a^10 - (4*z^6)/a^16 + (28*z^6)/a^12 + (25*z^6)/a^10 - z^8/a^16 + 
   (4*z^8)/a^14 + (13*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 42290] -> a^(-16) - 3/a^14 + 2/a^12 - 
   3/a^10 + 4/a^8 - z^2/a^16 - (5*z^2)/a^14 + (4*z^2)/a^12 + z^2/a^10 + 
   (12*z^2)/a^8 - (3*z^4)/a^16 + (9*z^4)/a^12 + (11*z^4)/a^10 + 
   (13*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (8*z^6)/a^12 + (9*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 42291] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42292] -> -a^(-4) + 2/a^2 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42293] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (2*z^2)/a^16 + z^2/a^14 - 
   (2*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + 
   (2*z^4)/a^14 + (3*z^4)/a^12 + (8*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^14 + (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 42294] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 42295] -> 5 - 2/a^2 - 4*a^4 + 2*a^6 + 
   10*z^2 - (2*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 + 
   6*z^4 - z^4/a^4 + (5*z^4)/a^2 - 11*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42296] -> 1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 
   z^2/a^6 + (5*z^2)/a^2 - 6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 42297] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 + 
   (15*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + (6*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 42298] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   12*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42299] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 42300] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 4*a^4*z^2 + 9*a^6*z^2 + 17*a^8*z^2 - 
   21*a^10*z^2 + 5*a^12*z^2 - 8*a^4*z^4 + 12*a^6*z^4 + 32*a^8*z^4 - 
   27*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 28*a^8*z^6 - 
   15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 42301] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 - 2*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 + 
   7*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 6*a^6*z^4 + 
   10*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 42302] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - 
   (7*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42303] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 - (5*z^4)/a^4 + (8*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42304] -> 
  -5 + 2/a^4 + 4*a^2 - 16*z^2 - (3*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 42305] -> -2 + a^(-6) - a^(-4) + 2/a^2 - 
   a^2 + 2*a^4 - 3*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42306] -> 
  2 - a^2 - a^4 + a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 42307] -> 
  2*a^2 - a^4 + a^2*z^2 + a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   2*a^4*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42308] -> 
  1 + 2*z^2 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (10*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42309] -> 
  2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 4*z^2 + (5*z^2)/a^4 - (13*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42310] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 
   5*a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + 8*z^4 - 15*a^2*z^4 - 
   8*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 42311] -> 
  1 - a^2 + a^4 + a^6 - a^8 - z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42312] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + (2*z^4)/a^6 - 
   (13*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42313] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - a^2*z^2 + 
   3*z^4 + z^4/a^8 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42314] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (4*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (3*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42315] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (19*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (24*z^4)/a^8 - 
   (36*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 42316] -> 
  -4*a^2 + 11*a^4 - 6*a^6 + 8*z^2 - 42*a^2*z^2 + 68*a^4*z^2 - 27*a^6*z^2 + 
   12*z^4 - 70*a^2*z^4 + 115*a^4*z^4 - 38*a^6*z^4 + 6*z^6 - 49*a^2*z^6 + 
   94*a^4*z^6 - 25*a^6*z^6 + z^8 - 16*a^2*z^8 + 42*a^4*z^8 - 8*a^6*z^8 - 
   2*a^2*z^10 + 10*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 42317] -> 11 - 5/a^2 - 5*a^2 + 49*z^2 + (6*z^2)/a^4 - 
   (31*z^2)/a^2 - 19*a^2*z^2 + 84*z^4 + (9*z^4)/a^4 - (52*z^4)/a^2 - 
   28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 42318] -> 6 - 2/a^2 - 4*a^2 + a^4 + 29*z^2 - 
   (7*z^2)/a^2 - 34*a^2*z^2 + 13*a^4*z^2 + 49*z^4 - (9*z^4)/a^2 - 
   70*a^2*z^4 + 24*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 42319] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + a^(-2) + z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + z^4 + (3*z^4)/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 42320] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 18*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 - 9*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - 
   10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 42321] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - 10*a^2*z^2 + 6*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 42322] -> 
  -1 + 2/a^4 - 3/a^2 + 4*a^2 - a^6 - 8*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   9*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 12*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 42323] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 7*z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^6 + 
   z^4/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 42324] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + z^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42325] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42326] -> 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42327] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2 + 
   z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^2 - z^4 - 
   (3*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42328] -> 
  a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (9*z^2)/a^8 + (15*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (13*z^4)/a^10 + (17*z^4)/a^8 + (19*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 - 
   (4*z^6)/a^10 + (12*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42329] -> 
  -a^(-10) + a^(-8) + a^(-2) - z^2 + z^2/a^12 - (3*z^2)/a^10 + (4*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 42330] -> 5 - a^(-2) - 4*a^2 + a^6 + 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 13*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 16*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42331] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42332] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   10*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 
   2*a^2*z^2 - 15*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (28*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 42333] -> -a^(-4) + 3/a^2 - 2*a^2 + a^6 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^6*z^2 - 5*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 42334] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 - z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 + z^4 + (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 42335] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 4*a^2 - 
   12*z^2 - (3*z^2)/a^8 - z^2/a^6 + (12*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   9*z^4 - (4*z^4)/a^8 + (3*z^4)/a^6 + (16*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 42336] -> 
  -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 6*z^2 - (2*z^2)/a^8 - z^2/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   z^4/a^6 + (7*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 42337] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42338] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 8*z^2 - 
   (2*z^2)/a^4 - 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42339] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 
   2*z^2 - a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 5*a^2*z^4 + a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 42340] -> 1 + a^2 - 3*a^6 + 2*a^8 + 5*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 3*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 42341] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 42342] -> a^(-16) - 4/a^14 + 4/a^10 - 
   (2*z^2)/a^16 - (10*z^2)/a^14 + (10*z^2)/a^12 + (14*z^2)/a^10 + 
   (4*z^2)/a^8 - (3*z^4)/a^16 - (6*z^4)/a^14 + (25*z^4)/a^12 + 
   (22*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (18*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 42343] -> 3/a^16 - 10/a^14 + 6/a^12 + 
   2/a^10 + (3*z^2)/a^16 - (33*z^2)/a^14 + (35*z^2)/a^12 + (11*z^2)/a^10 - 
   (3*z^4)/a^16 - (32*z^4)/a^14 + (70*z^4)/a^12 + (21*z^4)/a^10 - 
   (4*z^6)/a^16 - (7*z^6)/a^14 + (59*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 42344] -> 2/a^16 - 6/a^14 + a^(-12) + 
   4/a^10 + z^2/a^16 - (17*z^2)/a^14 + (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (11*z^4)/a^14 + (23*z^4)/a^12 + 
   (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 42345] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 13*z^2 - 
   (4*z^2)/a^6 + (22*z^2)/a^4 - (31*z^2)/a^2 + 24*z^4 - (8*z^4)/a^6 + 
   (44*z^4)/a^4 - (69*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - 
   (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 42346] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 2*z^2 - (3*z^2)/a^6 + (15*z^2)/a^4 - 
   (18*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - 
   (21*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + (9*z^6)/a^4 - (13*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42347] -> 13 - 6/a^2 - 6*a^2 + 60*z^2 + (4*z^2)/a^4 - 
   (33*z^2)/a^2 - 25*a^2*z^2 + 107*z^4 + (8*z^4)/a^4 - (57*z^4)/a^2 - 
   37*a^2*z^4 + 92*z^6 + (5*z^6)/a^4 - (43*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 42348] -> 8 - 4/a^2 - 2*a^2 - a^4 + 24*z^2 + 
   (2*z^2)/a^4 - (16*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 28*z^4 + (3*z^4)/a^4 - 
   (19*z^4)/a^2 + 13*a^2*z^4 - 9*a^4*z^4 + 17*z^6 + z^6/a^4 - (10*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 42349] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42350] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42351] -> 
  2*a^2 - 2*a^6 + a^8 - 2*z^2 + 7*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 5*a^4*z^4 - 13*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 42352] -> a^(-8) - 4/a^6 + 4/a^4 + (8*z^2)/a^8 - 
   (26*z^2)/a^6 + (28*z^2)/a^4 - (8*z^2)/a^2 + (12*z^4)/a^8 - (52*z^4)/a^6 + 
   (61*z^4)/a^4 - (20*z^4)/a^2 + (6*z^6)/a^8 - (42*z^6)/a^6 + (62*z^6)/a^4 - 
   (18*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (33*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 42353] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - z^2 + 
   (5*z^2)/a^8 - (15*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (15*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42354] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   7*z^2 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + a^4*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42355] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 - 2*z^2 + 
   (6*z^2)/a^4 - (13*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + 
   (9*z^4)/a^4 - (19*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42356] -> 
  -3 + 3/a^2 + a^2 - 2*a^4 + 2*a^6 - 18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 42357] -> a^2 + 5*a^4 - 9*a^6 + 4*a^8 - 
   3*a^2*z^2 + 25*a^4*z^2 - 40*a^6*z^2 + 16*a^8*z^2 - 16*a^2*z^4 + 
   53*a^4*z^4 - 66*a^6*z^4 + 17*a^8*z^4 - 17*a^2*z^6 + 57*a^4*z^6 - 
   48*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 32*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 42358] -> 3*a^2 - 5*a^6 + 3*a^8 - z^2 + 5*a^2*z^2 + 
   2*a^4*z^2 - 17*a^6*z^2 + 8*a^8*z^2 - 5*z^4 + 7*a^2*z^4 + 6*a^4*z^4 - 
   22*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 11*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42359] -> 5*a^2 - 5*a^4 - a^6 + 2*a^8 - 4*z^2 + 
   15*a^2*z^2 - 14*a^4*z^2 - 6*a^6*z^2 + 5*a^8*z^2 - 8*z^4 + 20*a^2*z^4 - 
   10*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 2*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 42360] -> 5*a^6 - 4*a^8 - a^10 + a^12 - 
   2*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 5*a^4*z^4 + 
   19*a^6*z^4 - 7*a^8*z^4 - 7*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   12*a^6*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 42361] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 13*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (8*z^4)/a^6 + 
   (14*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42362] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42363] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (7*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - (23*z^4)/a^6 - (8*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 42364] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   5*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42365] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 42366] -> -2 + a^(-4) + 2*a^2 - 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 42367] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (4*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + (13*z^4)/a^8 + (16*z^4)/a^6 - 
   (3*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42368] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (14*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42369] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 17*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - a^4*z^2 - 20*z^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 + (2*z^6)/a^4 - z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42370] -> 
  -2 + 2/a^8 - 3/a^6 - 3/a^4 + 7/a^2 - 5*z^2 + (5*z^2)/a^8 - (9*z^2)/a^6 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (14*z^4)/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42371] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42372] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 - 2*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42373] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 9*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 42374] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (7*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42375] -> 4 - a^(-2) - 3*a^2 + a^4 + 26*z^2 - 
   (6*z^2)/a^2 - 33*a^2*z^2 + 13*a^4*z^2 + 48*z^4 - (9*z^4)/a^2 - 
   70*a^2*z^4 + 24*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 42376] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   18*a^2*z^2 + 8*a^4*z^2 + z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 25*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42377] -> 4 - 2/a^2 - a^4 + 21*z^2 + (4*z^2)/a^4 - 
   (18*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 38*z^4 + (4*z^4)/a^4 - (28*z^4)/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 + 32*z^6 + z^6/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - 
   5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + 
   a^2*z^10, Knot[15, Alternating, 42378] -> 2 - a^(-4) + a^(-2) - a^2 + 
   10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   17*z^4 + z^4/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   12*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 42379] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (18*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (29*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 42380] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + (13*z^4)/a^4 - (12*z^4)/a^2 + 
   3*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42381] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 12*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42382] -> 
  3 - 3*a^2 + a^6 - z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 
   4*a^6*z^2 - 11*z^4 - z^4/a^4 + (9*z^4)/a^2 - 10*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42383] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + (2*z^2)/a^2 - a^2*z^2 + 19*a^4*z^2 - 
   9*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 42384] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 41*z^2 + (10*z^2)/a^4 - (35*z^2)/a^2 - 
   14*a^2*z^2 + 75*z^4 + (13*z^4)/a^4 - (60*z^4)/a^2 - 24*a^2*z^4 + 68*z^6 + 
   (6*z^6)/a^4 - (44*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 42385] -> 3 - a^(-2) - a^2 + 12*z^2 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 - 6*a^2*z^2 + 19*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (6*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 42386] -> 4 - a^(-4) - 2*a^2 + 11*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 16*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 42387] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 42388] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 
   14*z^2 - (2*z^2)/a^2 - 27*a^2*z^2 + 11*a^4*z^2 + 37*z^4 - (11*z^4)/a^2 - 
   48*a^2*z^4 + 13*a^4*z^4 + 43*z^6 - (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 42389] -> 
  a^2 + 5*a^4 - 9*a^6 + 4*a^8 - 7*a^2*z^2 + 33*a^4*z^2 - 44*a^6*z^2 + 
   16*a^8*z^2 - 20*a^2*z^4 + 65*a^4*z^4 - 70*a^6*z^4 + 17*a^8*z^4 - 
   18*a^2*z^6 + 63*a^4*z^6 - 49*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 42390] -> 4*a^2 - 3*a^4 - 2*a^6 + 2*a^8 - 
   4*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 13*a^6*z^2 + 7*a^8*z^2 - 8*z^4 + 
   17*a^2*z^4 - 20*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 7*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 42391] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^4*z^2 + 15*a^6*z^2 - 4*a^8*z^2 - 
   8*a^10*z^2 + 4*a^12*z^2 - 5*a^4*z^4 + 17*a^6*z^4 - a^8*z^4 - 13*a^10*z^4 + 
   4*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42392] -> -a^(-4) + 2/a^2 - 2*z^2 + (4*z^2)/a^8 - 
   (6*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (13*z^4)/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42393] -> -1 + a^(-2) + a^2 - 10*z^2 + (2*z^2)/a^4 + 
   z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 15*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42394] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 8*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42395] -> 
  a^(-2) - a^4 + a^6 - 7*z^2 + (3*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   3*a^6*z^2 - 8*z^4 + z^4/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42396] -> 
  -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - (3*z^2)/a^14 + 
   (10*z^2)/a^12 - (8*z^2)/a^10 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (13*z^4)/a^10 - (5*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42397] -> 
  -a^(-4) + 2/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - (5*z^4)/a^10 + (12*z^4)/a^8 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42398] -> -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42399] -> 
  2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - (4*z^2)/a^6 + (20*z^2)/a^4 - 
   (24*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 - (4*z^4)/a^6 + (28*z^4)/a^4 - 
   (39*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + (16*z^6)/a^4 - (32*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 42400] -> 
  2 + 3/a^4 - 5/a^2 + a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (15*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (18*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 42401] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + 5*a^2*z^2 + 6*a^4*z^2 - 15*a^6*z^2 + 
   7*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 2*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 42402] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42403] -> -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 16*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42404] -> -1 + 2/a^8 - 3/a^6 - 2/a^4 + 5/a^2 - 4*z^2 + 
   (6*z^2)/a^8 - (10*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (8*z^4)/a^8 - (17*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42405] -> 1 + 2/a^4 - 3/a^2 + a^2 + (3*z^2)/a^4 - 
   (8*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42406] -> 3 - a^(-2) - a^2 + 7*z^2 - (3*z^2)/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   10*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 42407] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42408] -> 3*a^2 - 5*a^6 + 3*a^8 - 5*z^2 + 13*a^2*z^2 - 
   2*a^4*z^2 - 17*a^6*z^2 + 8*a^8*z^2 - 9*z^4 + 19*a^2*z^4 + 2*a^4*z^4 - 
   22*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 8*a^4*z^6 - 11*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42409] -> 1 + 2*a^2 - 2*a^4 - 2*a^6 + 2*a^8 + 2*z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 42410] -> a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 - 
   a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 42411] -> a^(-12) - 3/a^10 + 3/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - (3*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42412] -> 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42413] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 - 
   z^2/a^4 - 5*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42414] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) - z^2/a^16 - (9*z^2)/a^14 + 
   (10*z^2)/a^12 + (8*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (14*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 42415] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 - (5*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42416] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (5*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 42417] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   z^2/a^8 - z^2/a^4 + z^2/a^2 + z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42418] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 42419] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 
   2/a^2 + z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 + z^4/a^8 - (12*z^4)/a^6 + (15*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42420] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + z^2/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - a^2*z^2 - (3*z^4)/a^8 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 42421] -> 1 - a^(-6) + 5/a^4 - 5/a^2 + a^4 - 4*z^2 - 
   (3*z^2)/a^6 + (15*z^2)/a^4 - (15*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   11*z^4 - z^4/a^6 + (13*z^4)/a^4 - (17*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (10*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   (2*z^8)/a^2 - a^2*z^8, Knot[15, Alternating, 42422] -> 
  3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 14*a^2*z^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + (8*z^4)/a^2 - 18*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   2*z^8 - 3*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42423] -> 
  1 + 3/a^4 - 4/a^2 + a^4 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 + 2*a^4*z^2 - 6*z^4 + (3*z^4)/a^6 - z^4/a^4 - (9*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 42424] -> 2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 4*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42425] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 3*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 8*a^2*z^2 + 2*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 - 11*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42426] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 42427] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 42428] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42429] -> 1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 42430] -> 2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 
   4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4/a^2 - 5*a^2*z^4 + 
   3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42431] -> 
  -3 + 3/a^2 + a^2 - a^4 + a^8 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 + a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 42432] -> 2 - a^4 - 2*a^6 + 2*a^8 + 5*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 42433] -> 2*a^4 - 2*a^10 + a^12 - a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 + 4*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42434] -> -1 + a^(-2) + a^2 - 3*z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42435] -> -2 + a^(-2) + 3*a^2 - a^4 + 8*z^2 - 
   (2*z^2)/a^2 - 11*a^2*z^2 + 5*a^4*z^2 + 31*z^4 - (9*z^4)/a^2 - 36*a^2*z^4 + 
   11*a^4*z^4 + 39*z^6 - (12*z^6)/a^2 - 35*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - 
   (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 42436] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 
   7*z^2 - (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 14*z^4 - 
   (5*z^4)/a^2 - 10*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - 
   a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 42437] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 47*z^2 + (11*z^2)/a^4 - (40*z^2)/a^2 - 
   16*a^2*z^2 + 71*z^4 + (21*z^4)/a^4 - (70*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + 
   (18*z^6)/a^4 - (64*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 42438] -> 2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - 
   19*a^2*z^2 + 22*a^4*z^2 - 8*a^6*z^2 + 12*z^4 - 41*a^2*z^4 + 44*a^4*z^4 - 
   12*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 42439] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 
   18*z^2 + (7*z^2)/a^4 - (22*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + 
   (9*z^4)/a^4 - (25*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42440] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (20*z^4)/a^8 - 
   (20*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (23*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42441] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 42442] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 - z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + z^6/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 42443] -> -1 - 3/a^8 + 4/a^6 - a^(-4) + 
   2/a^2 - 4*z^2 - (4*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 
   4*z^4 + (5*z^4)/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42444] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - z^2/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42445] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42446] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42447] -> a^(-6) - a^(-4) + a^2 - 7*z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - 13*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 4*a^2*z^4 - 
   9*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42448] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   7*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 42449] -> 
  a^2 + a^6 - a^8 - a^2*z^2 + 11*a^4*z^2 - 13*a^6*z^2 + 6*a^8*z^2 - 
   9*a^2*z^4 + 31*a^4*z^4 - 37*a^6*z^4 + 11*a^8*z^4 - 12*a^2*z^6 + 
   39*a^4*z^6 - 35*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 
   14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 42450] -> a^2 + a^4 - a^6 + a^2*z^2 + 5*a^4*z^2 - 
   8*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 6*a^4*z^4 - 14*a^6*z^4 + 
   4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42451] -> 2 - 2*a^2 + a^4 + z^2 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 42452] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - 
   (26*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (27*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42453] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 42454] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + (2*z^2)/a^8 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   2*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42455] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (7*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42456] -> -2/a^10 + a^(-8) + 3/a^6 - 2/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (7*z^2)/a^8 + (12*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (13*z^4)/a^8 + (9*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42457] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42458] -> -2/a^10 + a^(-8) + 3/a^6 - 2/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (10*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   (5*z^4)/a^10 + (14*z^4)/a^8 + (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42459] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42460] -> -1 + a^(-2) + a^2 + 3*z^2 - (2*z^2)/a^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 42461] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 7*z^2 - 
   28*a^2*z^2 + 36*a^4*z^2 - 13*a^6*z^2 + 17*z^4 - 57*a^2*z^4 + 62*a^4*z^4 - 
   16*a^6*z^4 + 17*z^6 - 58*a^2*z^6 + 47*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 42462] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   z^2 - 10*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 - 4*z^4 + (4*z^4)/a^2 - 
   10*a^2*z^4 + 21*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 9*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 42463] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   6*z^2 - 18*a^2*z^2 + 15*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 8*z^4 - 
   23*a^2*z^4 + 11*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 
   a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 42464] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 42465] -> 1 + 3*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + z^4 - (2*z^4)/a^10 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42466] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 + z^6/a^8 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42467] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (12*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42468] -> 1 + z^2/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42469] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (9*z^2)/a^12 - (5*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (14*z^4)/a^10 - (15*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42470] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - (8*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 42471] -> -a^(-10) + 2/a^6 - a^(-4) + 
   a^(-2) - (4*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - (5*z^4)/a^10 + (13*z^4)/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 42472] -> -a^(-10) + a^(-8) + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42473] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^8 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42474] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 - z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 42475] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42476] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 9*z^2 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42477] -> -a^(-14) + a^(-10) + a^(-4) - (3*z^2)/a^14 + 
   (6*z^2)/a^12 + (3*z^2)/a^8 + (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (5*z^4)/a^10 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42478] -> 
  -a^(-14) + a^(-12) - a^(-10) + a^(-8) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 42479] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 42480] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 2*a^2*z^2 + 5*a^4*z^2 - 8*a^6*z^2 + 
   3*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 3*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42481] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (13*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42482] -> 
  -2 - 3/a^4 + 6/a^2 - 9*z^2 - z^2/a^6 - (5*z^2)/a^4 + (17*z^2)/a^2 + 
   a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + z^4/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42483] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 + z^2/a^2 - 
   4*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42484] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + 
   (5*z^2)/a^4 - (15*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + (8*z^4)/a^4 - 
   (18*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42485] -> 
  2 - 2*a^2 + a^4 - z^2 + z^2/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42486] -> 1 + 2/a^4 - 4/a^2 + 4*a^2 - 2*a^4 - 2*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 42487] -> a^(-8) - a^(-6) + a^2 - 2*z^2 - z^2/a^10 + 
   z^2/a^8 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 42488] -> a^(-4) - a^(-2) + a^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - 
   z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 42489] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 42490] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - 
   a^4 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 42491] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42492] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (7*z^4)/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42493] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 + (3*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42494] -> 3 - a^(-4) - a^4 + 13*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 18*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42495] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + (12*z^2)/a^4 + (14*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + (25*z^4)/a^4 + (17*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42496] -> a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + 
   (4*z^2)/a^12 - (19*z^2)/a^10 + (15*z^2)/a^8 + (16*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (26*z^4)/a^10 + (32*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 42497] -> -a^(-10) - a^(-8) + 2/a^6 + 
   2/a^4 - a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + (13*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + 
   (17*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42498] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 16*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 42499] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 10*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 42500] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (11*z^4)/a^6 - 
   (14*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42501] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 2*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 6*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 42502] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 18*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42503] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + z^2/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (2*z^4)/a^8 + (16*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42504] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 2*z^2 - z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42505] -> 
  -a^(-14) + a^(-8) + a^(-6) - (6*z^2)/a^14 + (5*z^2)/a^12 + (5*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + (10*z^4)/a^12 + 
   (10*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 42506] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 5*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 42507] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - (6*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (10*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42508] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + z^4/a^6 + (13*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 42509] -> -a^(-4) + 2/a^2 - z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 42510] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 11*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42511] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 2*a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42512] -> 
  -2 + a^(-6) + a^2 + a^4 - 7*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - a^2*z^2 + 
   a^4*z^2 - 4*z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 42513] -> 4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42514] -> 
  2 - a^2 - a^4 + a^6 + z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 42515] -> a^(-2) - a^2 + a^4 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42516] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + 2*z^2 + 
   (5*z^2)/a^4 - (13*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 3*z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42517] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   6*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 42518] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^6 - z^2/a^4 + z^2/a^2 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42519] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   (6*z^2)/a^10 - (15*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - 
   (2*z^4)/a^10 - (12*z^4)/a^8 + (15*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 - z^6/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42520] -> a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (13*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + 
   z^6/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42521] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + z^4/a^12 - 
   (4*z^4)/a^10 + (3*z^4)/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (2*z^6)/a^8 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42522] -> -a^(-8) + 2/a^4 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42523] -> 3 - a^(-2) - a^2 + 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 42524] -> 
  4 - a^(-4) - 2*a^2 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 - a^4*z^2 + 
   9*z^4 + z^4/a^6 - (4*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42525] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 - a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42526] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 - z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42527] -> 2 - a^(-8) + a^(-6) - a^2 + 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 42528] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^4 + 2*a^2*z^2 - 2*a^4*z^2 + 
   7*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42529] -> -3 + a^(-4) + 4*a^2 - a^4 - 6*z^2 + 
   z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42530] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 42531] -> a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 42532] -> 
  a^2 + a^6 - a^8 + z^2 - z^2/a^2 + a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   z^4/a^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 42533] -> -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - 8*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 42534] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 42535] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (5*z^4)/a^6 - 
   (12*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42536] -> -a^(-14) + 3/a^12 - 3/a^10 + a^(-6) + 
   a^(-2) - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 42537] -> 4 - a^(-4) - 2*a^2 - 2*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (17*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42538] -> 
  3 - a^(-2) - a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 42539] -> -3/a^6 + 5/a^4 - a^(-2) + (2*z^2)/a^8 - 
   (6*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + z^4/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42540] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 42541] -> -1 - 2/a^4 + 4/a^2 - z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 - z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 42542] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - a^4*z^2 + a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 42543] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 42544] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 - z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   14*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 42545] -> 
  1 + a^(-6) + a^(-4) - 3/a^2 + a^4 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42546] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 7*z^2 + 
   z^2/a^6 - z^2/a^4 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 42547] -> 
  2/a^6 - 5/a^4 + 4/a^2 + z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 42548] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 + z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - z^4/a^2 - 4*a^4*z^4 + a^6*z^4 + 2*z^6 - 
   z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42549] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (6*z^2)/a^8 + (18*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^10 - 
   z^4/a^8 + (17*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42550] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 42551] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^12 - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4 - (4*z^4)/a^10 + 
   (2*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42552] -> 
  3*a^2 - 3*a^4 + a^6 + 5*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (2*z^4)/a^4 + 2*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42553] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 42554] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2 + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4 - (3*z^4)/a^10 + (6*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 42555] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 42556] -> 
  a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 3*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 42557] -> 2*a^6 - a^8 + a^10 - a^14 + a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 42558] -> a^2 + a^6 - a^8 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 42559] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - a^4*z^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42560] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 - (11*z^2)/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - (13*z^4)/a^6 - 
   (6*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 42561] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 + 
   z^4/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42562] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^4*z^4 + 3*z^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 42563] -> 
  3 + a^(-4) - a^(-2) - 4*a^2 + a^4 + a^6 + z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 - 9*a^2*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   7*a^2*z^4 - a^4*z^4 + a^6*z^4 - 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 42564] -> 3 - 3*a^2 + a^6 + 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 10*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 12*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42565] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   z^2 - (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42566] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 6*z^2 + 
   z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42567] -> 3 + a^(-6) - 3/a^2 + 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42568] -> 1 + a^(-2) - 2*a^2 + a^6 + 5*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42569] -> 1 + 4*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 42570] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + 
   z^2/a^8 - (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42571] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 42572] -> 2*a^2 - a^4 - 2*z^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 
   a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 42573] -> 4 + 2/a^4 - 4/a^2 - 2*a^2 + 
   a^4 + 6*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 
   2*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - z^6 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 42574] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (6*z^2)/a^10 - (15*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - (2*z^4)/a^10 - (12*z^4)/a^8 + 
   (15*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - z^6/a^8 + 
   (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 42575] -> 
  -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 9*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   z^2/a^4 + (19*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (8*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42576] -> 
  -6 - 2/a^6 + 3/a^4 + 3/a^2 + 3*a^2 - 22*z^2 - (5*z^2)/a^6 + (15*z^2)/a^4 + 
   z^2/a^2 + 11*a^2*z^2 - 29*z^4 - (4*z^4)/a^6 + (21*z^4)/a^4 - 
   (10*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (13*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 42577] -> 
  a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + (4*z^2)/a^12 - (14*z^2)/a^10 + 
   (2*z^2)/a^8 + (25*z^2)/a^6 - (9*z^2)/a^4 + (4*z^4)/a^12 - (20*z^4)/a^10 + 
   (12*z^4)/a^8 + (31*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + 
   (13*z^6)/a^8 + (20*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42578] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (13*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + z^4/a^8 + (14*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42579] -> 
  -2 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 42580] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (5*z^2)/a^8 + (12*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 - (2*z^4)/a^8 + (15*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42581] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - z^2 + z^2/a^12 - z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42582] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - (12*z^2)/a^8 + (23*z^2)/a^6 - 
   (9*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (16*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (6*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42583] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (17*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42584] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 
   3*z^2 + z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 - (13*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42585] -> 
  2 + a^(-8) - 2/a^4 + 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 42586] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42587] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42588] -> 
  -2 + 2/a^2 + a^4 - 9*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 9*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 42589] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (14*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 - z^4/a^8 + 
   (17*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42590] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 - z^2/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42591] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + (6*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42592] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42593] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 42594] -> 
  2 + 3/a^4 - 5/a^2 + a^2 + 4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   (17*z^2)/a^2 + 3*a^2*z^2 + z^4 - z^4/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 - 
   (22*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 - 
   (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 42595] -> 1 - 10*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 17*z^4 + (4*z^4)/a^2 + 11*a^2*z^4 + 7*a^4*z^4 - 
   5*a^6*z^4 - 10*z^6 + z^6/a^2 + 10*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42596] -> 3 - 5*a^2 + 4*a^4 - a^6 + 6*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 42597] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 22*z^2 + 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - 12*a^2*z^2 + 30*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (12*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 + 
   z^6/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 42598] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 13*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   3*a^2*z^4 - 3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42599] -> 
  -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 17*z^2 - (5*z^2)/a^6 + (19*z^2)/a^4 - 
   (10*z^2)/a^2 + 11*a^2*z^2 - 28*z^4 - (4*z^4)/a^6 + (22*z^4)/a^4 - 
   (16*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 42600] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (2*z^2)/a^12 + (7*z^2)/a^10 - 
   (13*z^2)/a^8 + (19*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (21*z^4)/a^8 + (25*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (14*z^6)/a^8 + (16*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 42601] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^4 + z^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42602] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42603] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + 5*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (7*z^4)/a^4 - (9*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 42604] -> 
  -3/a^4 + 5/a^2 - a^2 + z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*a^2*z^2 + 4*z^4 + z^4/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (10*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42605] -> 1 - 2/a^4 + 3/a^2 - a^2 + 5*z^2 + z^2/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 42606] -> 
  -1 - a^(-8) + 2/a^6 + a^(-4) - 2/a^2 + 2*a^2 - 4*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (4*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 - (16*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 42607] -> a^2 - a^4 + 2*a^6 - 2*a^8 + 3*a^10 - 
   2*a^12 + 4*a^2*z^2 - 7*a^4*z^2 + 14*a^6*z^2 - 14*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 21*a^6*z^4 - 24*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 42608] -> a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + 
   z^2 + a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 42609] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - 
   (8*z^4)/a^10 + (3*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42610] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42611] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (19*z^2)/a^8 - (22*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (38*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (32*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 42612] -> -a^(-10) + 4/a^8 - 5/a^6 + 
   a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (9*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42613] -> -a^(-14) + 3/a^12 - 6/a^10 + 4/a^8 + 
   a^(-6) - (6*z^2)/a^14 + (21*z^2)/a^12 - (26*z^2)/a^10 + (13*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^4)/a^14 + (33*z^4)/a^12 - (42*z^4)/a^10 + (9*z^4)/a^8 + 
   (11*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (35*z^6)/a^10 - (4*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 42614] -> 
  -a^(-14) + 3/a^12 - 5/a^10 + 2/a^8 + 2/a^6 - (3*z^2)/a^14 + (10*z^2)/a^12 - 
   (8*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (8*z^4)/a^10 - (10*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42615] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (5*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (4*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42616] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - (3*z^2)/a^14 + (3*z^2)/a^12 + 
   z^2/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + (13*z^4)/a^12 - 
   (6*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (6*z^6)/a^10 - 
   (11*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 42617] -> 
  -a^(-12) + 2/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42618] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   z^2/a^14 - z^2/a^12 + (6*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (6*z^4)/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42619] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 4*z^2 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 14*z^4 - (8*z^4)/a^2 + 
   7*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 42620] -> 3 - a^(-2) + a^2 - 4*a^4 + 
   2*a^6 + 17*z^2 - (9*z^2)/a^2 + 2*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 + 
   26*z^4 - (12*z^4)/a^2 + 9*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 + 19*z^6 - 
   (6*z^6)/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 
   6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42621] -> 
  4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 10*z^2 - (3*z^2)/a^4 - 4*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + 13*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42622] -> 
  -4 + 3/a^2 + a^2 + a^4 - 10*z^2 - (2*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (13*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42623] -> 
  4*a^2 - 4*a^4 + a^8 - (3*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 - 4*a^6*z^2 + 
   3*a^8*z^2 + 3*z^4 - (4*z^4)/a^2 + 16*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 
   a^8*z^4 + 4*z^6 - z^6/a^2 + 10*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 42624] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 6*z^4 - z^4/a^4 + 5*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 42625] -> a^6 - a^8 + 2*a^10 + 2*a^12 - 3*a^14 + 
   7*a^6*z^2 - 2*a^8*z^2 + 8*a^10*z^2 + 10*a^12*z^2 - 7*a^14*z^2 + 
   11*a^6*z^4 - 7*a^8*z^4 + 5*a^10*z^4 + 18*a^12*z^4 - 5*a^14*z^4 + 
   6*a^6*z^6 - 11*a^8*z^6 - 5*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 42626] -> a^6 - a^8 + 3*a^10 - 2*a^14 + 2*a^4*z^2 + 
   4*a^6*z^2 + a^8*z^2 + 7*a^10*z^2 + 4*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + 5*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 42627] -> a^6 - a^8 + 4*a^10 - 2*a^12 - 
   a^14 + 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 11*a^10*z^2 - 2*a^14*z^2 + 
   3*a^4*z^4 + 2*a^6*z^4 - 5*a^8*z^4 + 8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 42628] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 
   3*a^2*z^2 - 6*a^4*z^2 + 17*a^6*z^2 - 15*a^8*z^2 + 11*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 23*a^6*z^4 - 23*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 15*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 42629] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + 
   a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 42630] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 3*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 - 
   7*a^10*z^2 + 4*a^12*z^2 - 7*a^4*z^4 + 23*a^6*z^4 - 6*a^8*z^4 - 
   12*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 2*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 42631] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 - a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 
   4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42632] -> a^(-16) - 6/a^14 + 4/a^12 + 2/a^10 - 
   (18*z^2)/a^14 + (21*z^2)/a^12 + (12*z^2)/a^10 + (3*z^2)/a^8 - 
   (3*z^4)/a^16 - (11*z^4)/a^14 + (34*z^4)/a^12 + (22*z^4)/a^10 + 
   (7*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (21*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 42633] -> a^(-16) - 5/a^14 + 2/a^12 + 3/a^10 - 
   z^2/a^16 - (8*z^2)/a^14 + (7*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + (11*z^4)/a^12 + (18*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 42634] -> 
  a^(-16) - 4/a^14 + 4/a^10 - (9*z^2)/a^14 + (5*z^2)/a^12 + (15*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + (11*z^4)/a^12 + 
   (17*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 42635] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (14*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + 
   (18*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + z^6/a^8 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 42636] -> 
  1 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 42637] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^12 + 
   (9*z^2)/a^10 - (13*z^2)/a^8 + (15*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (10*z^4)/a^10 - (22*z^4)/a^8 + (23*z^4)/a^6 - (17*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (16*z^6)/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 42638] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   z^2/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^4)/a^12 - (6*z^4)/a^10 + z^4/a^8 + (17*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 + (2*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42639] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^4 + z^2/a^2 + 8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 42640] -> -1 + a^(-2) + a^2 - 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 42641] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - 
   2*a^4*z^2 + 13*a^6*z^2 - 9*a^10*z^2 + 3*a^12*z^2 - 5*a^4*z^4 + 
   18*a^6*z^4 - 2*a^8*z^4 - 9*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   12*a^6*z^6 + a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42642] -> -2 + 2/a^4 - 3/a^2 + 7*a^2 - 3*a^4 - 7*z^2 + 
   (6*z^2)/a^4 - (11*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + 
   (9*z^4)/a^4 - (18*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42643] -> 
  2 - 3*a^2 - a^4 + 7*a^6 - 4*a^8 + 9*z^2 - 15*a^2*z^2 - 6*a^4*z^2 + 
   24*a^6*z^2 - 8*a^8*z^2 + 12*z^4 - 25*a^2*z^4 - 13*a^4*z^4 + 26*a^6*z^4 - 
   5*a^8*z^4 + 6*z^6 - 19*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 42644] -> 2 - 3*a^2 + 5*a^6 - 3*a^8 + 2*z^2 + 
   (2*z^2)/a^2 - 10*a^2*z^2 + 2*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 13*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42645] -> -1 + a^(-2) - a^2 + 2*a^4 + 2*a^6 - 2*a^8 - 
   3*z^2 + (4*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 
   5*z^4 + (4*z^4)/a^2 - 14*a^2*z^4 + 3*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 - 9*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 42646] -> -1 + a^(-2) - a^2 + 3*a^4 - a^8 - 
   5*z^2 + z^2/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^4 - 5*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 42647] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 42648] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42649] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 - 
   5*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 2*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 42650] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (5*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42651] -> -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 
   13*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 + (12*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + z^6/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 42652] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 - (10*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (6*z^4)/a^10 - (10*z^4)/a^8 + 
   (15*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 - z^6/a^8 + 
   (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 42653] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - (10*z^2)/a^14 - (8*z^2)/a^12 + 
   (26*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (11*z^4)/a^14 + (10*z^4)/a^12 + 
   (33*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (14*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 42654] -> -4 - a^(-8) + 3/a^6 - 8/a^4 + 
   11/a^2 - 10*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (4*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42655] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + 
   z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   z^6/a^6 - (9*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 42656] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42657] -> 
  4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 5*z^2 - z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 42658] -> 
  a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 4/a^8 - (6*z^2)/a^14 + (4*z^2)/a^12 + 
   z^2/a^10 + (11*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (7*z^4)/a^12 + (9*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 42659] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 10*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42660] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 6*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6, Knot[15, Alternating, 42661] -> 
  4 - 2/a^2 + 2*a^2 - 5*a^4 + 2*a^6 + 9*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 
   8*a^4*z^2 + 4*a^6*z^2 + 6*z^4 - z^4/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42662] -> 
  a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - (5*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + z^4/a^8 + 
   (10*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42663] -> 4 - 2/a^2 - a^4 + 7*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + (2*z^6)/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42664] -> 
  -2*a^2 + 5*a^4 + a^6 - 4*a^8 + a^10 - 3*z^2 - a^2*z^2 + 13*a^4*z^2 + 
   3*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 - z^4/a^2 + 4*a^2*z^4 + 
   13*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 + z^6 + 4*a^2*z^6 + 6*a^4*z^6 + 
   3*a^6*z^6, Knot[15, Alternating, 42665] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 42666] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42667] -> 2 - 3*a^4 + 2*a^6 + z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 42668] -> -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + 
   a^4 - 6*z^2 - z^2/a^8 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42669] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - z^2 - 
   z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 42670] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (13*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 42671] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42672] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 42673] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42674] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + 
   (22*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (14*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42675] -> -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - (8*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - 
   (17*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42676] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42677] -> 
  -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 42678] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42679] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 8*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42680] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - 
   z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (6*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 42681] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - z^2/a^14 + (5*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + z^4/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 42682] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (10*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42683] -> 
  a^(-2) - a^4 + a^6 + 4*z^2 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42684] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 7*z^2 - z^2/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 42685] -> 
  a^6 + 2*a^10 - a^12 - a^14 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 
   4*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^6*z^4 - a^8*z^4 + 
   a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 42686] -> a^6 - a^8 + 4*a^10 - 2*a^12 - a^14 + 
   a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 8*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 42687] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 12*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 42688] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - 3*z^2 + (2*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 
   6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42689] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - z^4/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 42690] -> 2 + a^(-4) - 2/a^2 - z^2/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 42691] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (12*z^2)/a^10 + (9*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (13*z^4)/a^10 + (10*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42692] -> 2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - a^4*z^2 + 
   9*a^6*z^2 + 8*a^8*z^2 - 16*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 + 
   13*a^6*z^4 + 6*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   10*a^6*z^6 + 5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42693] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 + a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42694] -> 1 - a^(-10) + 3/a^8 - 5/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42695] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 2*z^2 + z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42696] -> 
  1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + a^(-2) + 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42697] -> -a^(-14) + 3/a^12 - a^(-10) - 4/a^8 + 
   2/a^6 + 2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 - (11*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - 
   (13*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 42698] -> 
  a^2 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^4 + 5*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 42699] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42700] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   18*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42701] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^14 + (9*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (6*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42702] -> 
  -4 - a^(-6) - 3/a^4 + 9/a^2 - 11*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 - 
   (2*z^2)/a^4 + (24*z^2)/a^2 - 11*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (4*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 42703] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 42704] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42705] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   9*z^4 - z^4/a^6 - (3*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^6 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 42706] -> a^(-16) - 8/a^12 + 8/a^10 + z^2/a^16 - 
   (9*z^2)/a^14 - (7*z^2)/a^12 + (25*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (9*z^4)/a^14 + (12*z^4)/a^12 + (32*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + 
   (15*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 42707] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (3*z^2)/a^10 + z^2/a^8 + (13*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (7*z^4)/a^8 + (12*z^4)/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 + z^6/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42708] -> 
  a^(-16) - 3/a^14 + 2/a^12 - 3/a^10 + 4/a^8 - z^2/a^16 - (5*z^2)/a^14 + 
   (5*z^2)/a^12 + (11*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (8*z^4)/a^12 + (9*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 42709] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 4*z^2 - 
   (3*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 42710] -> 
  -2/a^10 + 4/a^6 - a^(-4) + (2*z^2)/a^12 - (10*z^2)/a^10 + (7*z^2)/a^8 + 
   (13*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - (12*z^4)/a^10 + 
   (14*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42711] -> -a^(-10) - 2/a^8 + 5/a^6 - 
   a^(-4) - z^2 + z^2/a^12 - (4*z^2)/a^10 + (11*z^2)/a^6 + z^2/a^4 - z^4 - 
   (4*z^4)/a^10 + (3*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42712] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + (6*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 42713] -> 
  -1 + a^(-4) + a^4 - 2*z^2 - z^2/a^8 + z^2/a^6 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42714] -> 
  1 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 - 3*a^8*z^4 + 2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 42715] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (8*z^4)/a^6 - 
   (2*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 42716] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - (5*z^2)/a^6 + (5*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 42717] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - z^2/a^6 + z^2/a^4 + (11*z^2)/a^2 + 
   8*a^2*z^2 - 25*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 + 
   10*a^2*z^4 - 17*z^6 - z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42718] -> 3 - 4*a^2 + 2*a^4 + 5*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   21*a^2*z^4 + 8*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 14*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42719] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42720] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 6*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42721] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 8*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   a^2*z^4 - a^4*z^4 + z^6 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 42722] -> 1 + a^(-2) - 2*a^2 + a^6 - 
   3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - 
   11*z^4 - z^4/a^4 + (9*z^4)/a^2 + a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42723] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 42724] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   7*a^2*z^4 - 12*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42725] -> 2 - a^2 - a^4 + a^6 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 12*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 42726] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 42727] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 5*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 42728] -> -1 + a^(-2) + a^2 - 6*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 42729] -> 
  1 + 6*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - 3*a^2*z^2 + 12*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 42730] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 + z^2/a^4 - (2*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 19*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 42731] -> 
  -3 + 3/a^2 + a^6 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42732] -> 2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 + 
   6*a^6*z^2 + 11*a^8*z^2 - 17*a^10*z^2 + 5*a^12*z^2 - 2*a^4*z^4 + 
   7*a^6*z^4 + 11*a^8*z^4 - 16*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 
   6*a^6*z^6 + 7*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42733] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42734] -> -2 + a^(-4) + 2*a^2 - 2*z^2 + z^2/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42735] -> -a^(-14) + 2/a^12 - 3/a^10 + a^(-8) + 
   2/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - (10*z^2)/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (14*z^4)/a^10 - 
   (5*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42736] -> -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 
   3/a^6 - z^2/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (7*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 42737] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + (7*z^4)/a^6 - (10*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42738] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42739] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (6*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + 
   (9*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42740] -> 1 + 2/a^8 - 3/a^6 + a^(-2) + 2*z^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42741] -> -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42742] -> a^6 - a^8 + 5*a^10 - 4*a^12 + a^4*z^2 + 
   7*a^6*z^2 - 6*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 7*a^6*z^4 - 11*a^8*z^4 + 15*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 42743] -> 3*a^6 - 3*a^8 + 3*a^10 - 
   2*a^12 + z^2 + 2*a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 
   9*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - 
   13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 42744] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 42745] -> a^6 + 2*a^10 - a^12 - a^14 + a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 
   6*a^6*z^4 - 8*a^8*z^4 + 12*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 42746] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 4*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 18*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42747] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + z^2 + a^2*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   6*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 
   10*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 42748] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 - a^2*z^2 + 2*a^4*z^2 + 11*a^6*z^2 - 
   10*a^8*z^2 + a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 - 11*a^8*z^4 - 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 - 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42749] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (10*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (12*z^4)/a^10 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42750] -> a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + 
   (3*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 42751] -> a^(-16) - 5/a^14 + 3/a^12 + a^(-10) + 
   a^(-8) - z^2/a^16 - (9*z^2)/a^14 + (11*z^2)/a^12 + (8*z^2)/a^10 + 
   (5*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (14*z^4)/a^12 + 
   (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 42752] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) - z^2/a^16 - (5*z^2)/a^14 + 
   (5*z^2)/a^12 + (8*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (6*z^4)/a^12 + (8*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 42753] -> -2/a^10 + a^(-8) + 2/a^6 - 
   z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - z^4/a^10 - (4*z^4)/a^8 + z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 42754] -> -2/a^10 + a^(-8) + 2/a^6 + z^2/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42755] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - z^2 + 
   z^2/a^10 + (4*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (2*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 - 
   z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42756] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42757] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 2*z^2 - 
   z^2/a^6 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   (3*z^4)/a^4 - z^4/a^2 - 2*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 42758] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42759] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 42760] -> 
  2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 
   7*a^4*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 42761] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^6*z^4 + z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 42762] -> -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (5*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42763] -> -a^(-4) + 2/a^2 - (3*z^2)/a^10 + 
   (10*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + 
   (18*z^4)/a^8 - (18*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (20*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42764] -> -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42765] -> 
  -4 - a^(-6) + 3/a^4 + 3*a^2 - 15*z^2 - (7*z^2)/a^6 + (13*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 18*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + (7*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42766] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 5*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 42767] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42768] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - z^4/a^10 + (7*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42769] -> -a^(-14) + a^(-12) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 42770] -> -a^(-12) + a^(-8) + a^(-4) - (2*z^2)/a^14 + 
   (2*z^2)/a^12 + (3*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42771] -> -a^(-12) + a^(-10) + a^(-2) + z^2 - 
   z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42772] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 15*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 42773] -> -a^(-10) + a^(-6) + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 - (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42774] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42775] -> 
  -1 + 2/a^2 - a^2 + a^6 - z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 
   2*a^4*z^2 + a^8*z^2 + z^4 - z^4/a^4 + z^4/a^2 - a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 42776] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + 
   (3*z^2)/a^10 - (19*z^2)/a^8 + (29*z^2)/a^6 - (7*z^2)/a^4 + (2*z^4)/a^12 - 
   (3*z^4)/a^10 - (13*z^4)/a^8 + (32*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 - z^6/a^8 + (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42777] -> 4*a^6 - 4*a^8 + 3*a^10 - 3*a^12 + a^14 - 
   2*a^4*z^2 + 17*a^6*z^2 - 14*a^8*z^2 + 8*a^10*z^2 - 3*a^12*z^2 - 
   5*a^4*z^4 + 22*a^6*z^4 - 15*a^8*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - 
   4*a^4*z^6 + 13*a^6*z^6 - 5*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 2*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42778] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 2*a^8*z^2 - 6*z^4 + 17*a^2*z^4 - 8*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42779] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 - z^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 + 2*a^4*z^4 - 7*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 42780] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^4 + 16*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 42781] -> 1 - a^2 + 2*a^4 - a^6 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 42782] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42783] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 42784] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 
   a^8*z^2 + 4*z^4 - z^4/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 2*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + a^2*z^6 - 11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 42785] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   13*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   18*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 42786] -> a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 
   14*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 42787] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   4*z^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42788] -> a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 - 
   (12*z^2)/a^14 + (11*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (9*z^4)/a^14 + (23*z^4)/a^12 + (18*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 42789] -> -a^(-14) - a^(-12) + 2/a^10 + a^(-6) - 
   z^2/a^16 - (4*z^2)/a^14 + (3*z^2)/a^12 + (8*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (8*z^4)/a^12 + (12*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 42790] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - (2*z^2)/a^6 + 
   (10*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 - 
   z^4/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 42791] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 + z^2/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42792] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42793] -> 3*a^2 - 3*a^4 + a^6 + 3*a^2*z^2 - 
   3*a^4*z^2 - a^6*z^2 + a^10*z^2 - z^4/a^2 - a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42794] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 3*z^2 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 42795] -> 
  a^(-2) + a^2 - 2*a^4 + a^8 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 42796] -> -3/a^12 + 3/a^10 + a^(-6) - (5*z^2)/a^14 + 
   (11*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (8*z^4)/a^12 + (14*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 42797] -> 3 - a^(-2) - a^2 + 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 42798] -> 2 - 3*a^4 + 2*a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 42799] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42800] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42801] -> 
  2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 - z^2/a^14 - (7*z^2)/a^12 + 
   (18*z^2)/a^10 - (15*z^2)/a^8 + (12*z^2)/a^6 - (3*z^4)/a^14 + 
   (6*z^4)/a^12 + (13*z^4)/a^10 - (18*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (8*z^6)/a^12 - z^6/a^10 - (14*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - 
   (4*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 42802] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 - (7*z^2)/a^10 + (12*z^2)/a^8 - (6*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (4*z^4)/a^10 + (7*z^4)/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - (3*z^6)/a^10 - z^6/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42803] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (13*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 + z^4/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + 
   (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42804] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42805] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 42806] -> 
  1 - a^(-10) + 4/a^8 - 2/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - (14*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42807] -> 
  2/a^4 - 4/a^2 + 6*a^2 - 3*a^4 - 3*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 
   16*a^2*z^2 - 6*a^4*z^2 - 6*z^4 + (7*z^4)/a^4 - (15*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42808] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (11*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42809] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (8*z^4)/a^6 - 
   z^4/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 42810] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 13*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42811] -> 
  -2 + a^(-4) + 2*a^2 - z^2 - (4*z^2)/a^6 + (23*z^2)/a^4 - (28*z^2)/a^2 + 
   7*a^2*z^2 - 4*z^4 - (4*z^4)/a^6 + (33*z^4)/a^4 - (52*z^4)/a^2 + 
   9*a^2*z^4 - 8*z^6 - z^6/a^6 + (17*z^6)/a^4 - (39*z^6)/a^2 + 5*a^2*z^6 - 
   5*z^8 + (3*z^8)/a^4 - (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 42812] -> 7 - 3/a^2 - 3*a^2 + 37*z^2 + (6*z^2)/a^4 - 
   (26*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - (48*z^4)/a^2 - 
   24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 42813] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 24*z^2 - 
   (11*z^2)/a^6 + (48*z^2)/a^4 - (62*z^2)/a^2 + 37*z^4 - (13*z^4)/a^6 + 
   (74*z^4)/a^4 - (111*z^4)/a^2 + 25*z^6 - (6*z^6)/a^6 + (50*z^6)/a^4 - 
   (93*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (42*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 42814] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42815] -> 2 - a^(-4) + a^(-2) - a^2 + 10*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 6*a^2*z^2 + 18*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 42816] -> 
  4 - a^(-8) + 2/a^6 + 2/a^4 - 6/a^2 + 12*z^2 - (5*z^2)/a^8 + (17*z^2)/a^6 - 
   (5*z^2)/a^4 - (21*z^2)/a^2 + 13*z^4 - (4*z^4)/a^8 + (22*z^4)/a^6 - 
   (15*z^4)/a^4 - (29*z^4)/a^2 + 6*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (14*z^6)/a^4 - (20*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 42817] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 5*a^2*z^2 - 10*a^4*z^2 + 14*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 19*a^4*z^4 + 18*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 42818] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 - (15*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42819] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (10*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (2*z^4)/a^12 + (11*z^4)/a^10 - (14*z^4)/a^8 + 
   (7*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 + (2*z^6)/a^10 - (10*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42820] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 42821] -> a^(-16) - 3/a^14 - 2/a^12 + 
   5/a^10 - (9*z^2)/a^14 + (3*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + (11*z^4)/a^12 + (20*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 42822] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42823] -> -1 + 2/a^4 - 3/a^2 + 3*a^2 + 2*a^4 - 2*a^6 - 
   9*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   14*z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   9*z^6 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 42824] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 
   10*a^2*z^2 - 7*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 15*a^2*z^4 - 
   6*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 42825] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   2*z^2 - z^2/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42826] -> a^(-10) - 5/a^8 + 5/a^6 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (13*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + 
   z^6/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42827] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 8*z^2 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 42828] -> -5 - 2/a^6 + 3/a^4 + 3/a^2 + a^2 + a^4 - 
   14*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   17*z^4 - z^4/a^6 + (8*z^4)/a^4 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 42829] -> -1 - a^(-8) + a^(-6) + 2/a^4 - 
   a^(-2) + a^4 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^4*z^2 - 7*z^4 + (2*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 42830] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 42831] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2 - (5*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (7*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42832] -> -a^(-10) + a^(-6) + a^(-4) - z^2 + 
   z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42833] -> 
  -1 + a^(-4) + a^4 - 6*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 4*z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 42834] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - z^2/a^8 - (4*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 42835] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^12 - (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4 - (3*z^4)/a^10 + 
   (7*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 42836] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 
   z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 42837] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42838] -> 
  2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (9*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 42839] -> 
  1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - (2*z^4)/a^4 + z^4/a^2 + 3*a^4*z^4 - 
   a^6*z^4 + z^6 + z^6/a^2 + a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 42840] -> -2/a^6 + 6/a^4 - 4/a^2 + a^4 - 2*z^2 - 
   (3*z^2)/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 
   5*z^4 - z^4/a^6 + (9*z^4)/a^4 - (10*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 42841] -> a^(-4) - a^(-2) + a^2 + 3*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 42842] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 42843] -> -a^(-8) + 2/a^6 + a^(-4) - 2/a^2 + a^4 - 
   4*z^2 - z^2/a^8 + (4*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 5*z^4 + (2*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 42844] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42845] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 42846] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - z^2/a^10 - (11*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (6*z^4)/a^8 + (25*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42847] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 42848] -> 
  2 + a^(-2) - 4*a^2 + a^4 + a^6 - 2*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   10*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 + a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 42849] -> -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 42850] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 + 
   (2*z^2)/a^10 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   z^4/a^10 - z^4/a^8 - z^4/a^6 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 42851] -> 
  a^(-2) - a^2 + a^4 + z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 42852] -> a^(-16) - 4/a^14 + a^(-12) + 
   2/a^10 + a^(-8) - z^2/a^16 - (4*z^2)/a^14 + (4*z^2)/a^12 + (7*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (5*z^4)/a^12 + 
   (7*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 42853] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   z^2/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 - (3*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42854] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 42855] -> 1 - a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 
   a^(-4) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (5*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 42856] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + z^2/a^12 - (6*z^2)/a^10 + (8*z^2)/a^8 - 
   z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + (6*z^4)/a^8 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + 
   (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42857] -> a^4 + a^6 + 2*a^8 - 5*a^10 + 2*a^12 - 
   a^2*z^2 + 5*a^4*z^2 + 6*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42858] -> -1 + a^(-4) + a^4 - 5*z^2 - z^2/a^8 + 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 42859] -> 
  1 - a^(-10) + 3/a^8 - a^(-6) - 3/a^4 + 2/a^2 + 2*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42860] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (24*z^2)/a^14 + (15*z^2)/a^12 + (20*z^2)/a^10 - 
   (3*z^4)/a^16 - (20*z^4)/a^14 + (37*z^4)/a^12 + (33*z^4)/a^10 - 
   (4*z^6)/a^16 - z^6/a^14 + (35*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + 
   (4*z^8)/a^14 + (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 42861] -> 2/a^16 - 4/a^14 - 3/a^12 + 
   6/a^10 + z^2/a^16 - (12*z^2)/a^14 + z^2/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (13*z^4)/a^12 + 
   (26*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (12*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 42862] -> 2/a^16 - 6/a^14 + 3/a^12 + 
   2/a^8 - z^2/a^16 - (9*z^2)/a^14 + (8*z^2)/a^12 + (6*z^2)/a^10 + 
   (9*z^2)/a^8 - (3*z^4)/a^16 - z^4/a^14 + (13*z^4)/a^12 + (15*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 42863] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   z^2/a^16 - (4*z^2)/a^14 + (8*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 + (6*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 42864] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   z^2/a^16 - (7*z^2)/a^14 + (5*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 - 
   (3*z^4)/a^16 - z^4/a^14 + (12*z^4)/a^12 + (15*z^4)/a^10 + (12*z^4)/a^8 - 
   z^6/a^16 + (3*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 42865] -> a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 
   3/a^8 - z^2/a^16 - (4*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + (6*z^4)/a^12 + (10*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 42866] -> 
  -3/a^12 + 3/a^10 + a^(-6) - (2*z^2)/a^16 - (2*z^2)/a^12 + (9*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^16 + (2*z^4)/a^14 + (4*z^4)/a^12 + 
   (10*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (2*z^6)/a^12 + 
   (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 42867] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - z^2/a^16 - z^2/a^14 + (4*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (3*z^4)/a^12 + 
   (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 42868] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2/a^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 42869] -> 8*a^8 - 10*a^10 + 3*a^12 - 
   2*a^4*z^2 + a^6*z^2 + 31*a^8*z^2 - 30*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 
   5*a^6*z^4 + 44*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   8*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 42870] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   3*a^4*z^2 + 12*a^6*z^2 + 6*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 16*a^6*z^4 + 7*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 42871] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 + 
   10*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 
   8*a^6*z^4 + 12*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   7*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 42872] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - a^2*z^2 + 
   2*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   3*a^4*z^4 + 7*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 42873] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2/a^10 - (8*z^2)/a^8 + 
   (18*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^10 + (12*z^4)/a^6 - 
   (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42874] -> 
  -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - z^2/a^12 + (9*z^2)/a^10 - (17*z^2)/a^8 + 
   (17*z^2)/a^6 - z^2/a^4 + (2*z^4)/a^12 - (14*z^4)/a^8 + (18*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - (2*z^6)/a^8 + (11*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 42875] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42876] -> -4 + 2/a^2 + 6*a^2 - 4*a^4 + a^8 - 13*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 42877] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 5*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 42878] -> 
  -3 + 2/a^2 + 4*a^2 - 3*a^4 + a^8 - 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 42879] -> 
  a^(-6) - a^(-4) + a^2 - 6*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42880] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 42881] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 7*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (3*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 42882] -> -5/a^8 + 9/a^6 - 4/a^4 + 
   a^(-2) - (2*z^2)/a^10 - (4*z^2)/a^8 + (23*z^2)/a^6 - (15*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (7*z^4)/a^8 + (15*z^4)/a^6 - (21*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - z^6/a^6 - (15*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 42883] -> 
  -3/a^8 + 4/a^6 + z^2 - z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42884] -> 13 - 6/a^2 - 6*a^2 + 64*z^2 + (8*z^2)/a^4 - 
   (41*z^2)/a^2 - 25*a^2*z^2 + 111*z^4 + (12*z^4)/a^4 - (69*z^4)/a^2 - 
   37*a^2*z^4 + 93*z^6 + (6*z^6)/a^4 - (49*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + 
   z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 42885] -> 8 - 4/a^2 - 2*a^2 - a^4 + 22*z^2 + 
   (4*z^2)/a^4 - (18*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 25*z^4 + 
   (4*z^4)/a^4 - (22*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + 16*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42886] -> 
  8 - a^(-4) - 2/a^2 - 4*a^2 + 24*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 - 12*a^2*z^2 + 30*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (11*z^4)/a^2 - 13*a^2*z^4 + 20*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 42887] -> 
  3 - a^(-4) - a^4 + 10*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + 3*a^2*z^4 - 3*a^4*z^4 + 
   8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42888] -> 
  2 - a^2 - a^6 + a^8 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 42889] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 
   4*a^2*z^2 - 8*a^4*z^2 + 20*a^6*z^2 - 20*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 25*a^6*z^4 - 26*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 42890] -> 2*a^4 - a^6 + a^10 - a^12 + 2*z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   5*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 42891] -> 5*a^6 - 4*a^8 - a^10 + a^12 - 4*a^4*z^2 + 
   22*a^6*z^2 - 15*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 8*a^4*z^4 + 28*a^6*z^4 - 
   14*a^8*z^4 - 6*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 17*a^6*z^6 - 
   2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 42892] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 6*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (13*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (21*z^4)/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 42893] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (10*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - z^4 - (4*z^4)/a^8 + z^4/a^6 + (12*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 42894] -> 2/a^14 - 6/a^12 + 3/a^10 + a^(-8) + a^(-6) - 
   z^2/a^14 - (6*z^2)/a^12 + (8*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (3*z^4)/a^14 + (6*z^4)/a^12 + (7*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 - 
   z^6/a^14 + (8*z^6)/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^8)/a^12 - (4*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 42895] -> a^(-14) - 2/a^12 - 2/a^10 + 
   3/a^8 + a^(-6) - z^2/a^14 - (2*z^2)/a^12 + z^2/a^10 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (3*z^4)/a^12 + (4*z^4)/a^10 + z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 - (4*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42896] -> 1 - 4/a^4 + 6/a^2 - 2*a^2 + 11*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 8*a^2*z^2 + 20*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 42897] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 11*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42898] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (21*z^2)/a^4 - 6*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + (37*z^4)/a^4 + 
   z^4/a^2 - 4*z^6 + z^6/a^8 - (14*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - 
   z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42899] -> 5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 
   12*z^2 - (4*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 
   15*z^4 - (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 
   9*z^6 - z^6/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 42900] -> 2 - 2*a^4 + a^8 + 5*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   7*z^4 - z^4/a^4 + z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 42901] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*z^2 - 3*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 
   4*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 3*a^4*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 42902] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 9*a^4*z^2 + 21*a^6*z^2 - 
   19*a^8*z^2 + 12*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 
   26*a^6*z^4 - 25*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 10*a^4*z^6 + 
   16*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 42903] -> 2*a^4 - 2*a^10 + a^12 - 
   2*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[15, Alternating, 42904] -> 
  4/a^16 - 13/a^14 + 9/a^12 + a^(-10) + (7*z^2)/a^16 - (45*z^2)/a^14 + 
   (46*z^2)/a^12 + (8*z^2)/a^10 - z^4/a^16 - (43*z^4)/a^14 + (81*z^4)/a^12 + 
   (18*z^4)/a^10 - (4*z^6)/a^16 - (10*z^6)/a^14 + (64*z^6)/a^12 + 
   (17*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 42905] -> 
  3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + (2*z^2)/a^16 - (20*z^2)/a^14 + 
   (13*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (12*z^4)/a^14 + (23*z^4)/a^12 + (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + 
   (17*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 42906] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (2*z^2)/a^16 - (15*z^2)/a^14 + 
   (3*z^2)/a^12 + (22*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (12*z^4)/a^14 + 
   (16*z^4)/a^12 + (32*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (15*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 42907] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - (4*z^2)/a^10 + (19*z^2)/a^8 - 
   (24*z^2)/a^6 + (14*z^2)/a^4 - (7*z^4)/a^10 + (40*z^4)/a^8 - (61*z^4)/a^6 + 
   (23*z^4)/a^4 - (5*z^6)/a^10 + (35*z^6)/a^8 - (63*z^6)/a^6 + (18*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 42908] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - (2*z^2)/a^10 + (11*z^2)/a^8 - 
   (11*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (17*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42909] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (11*z^4)/a^8 - (11*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42910] -> -8/a^6 + 15/a^4 - 6/a^2 + (3*z^2)/a^8 - 
   (35*z^2)/a^6 + (69*z^2)/a^4 - (28*z^2)/a^2 + (7*z^4)/a^8 - (56*z^4)/a^6 + 
   (114*z^4)/a^4 - (39*z^4)/a^2 + (5*z^6)/a^8 - (42*z^6)/a^6 + (94*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 42911] -> -1 - 6/a^6 + 10/a^4 - 2/a^2 - 8*z^2 + 
   (2*z^2)/a^8 - (18*z^2)/a^6 + (28*z^2)/a^4 + (4*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (20*z^4)/a^6 + (31*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (18*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42912] -> -2 - 4/a^6 + 5/a^4 + 2/a^2 - 9*z^2 + 
   z^2/a^8 - (11*z^2)/a^6 + (14*z^2)/a^4 + (12*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (13*z^4)/a^6 + (17*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42913] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (7*z^2)/a^12 - (26*z^2)/a^10 + (27*z^2)/a^8 - z^2/a^6 + (11*z^4)/a^12 - 
   (48*z^4)/a^10 + (59*z^4)/a^8 - (13*z^4)/a^6 + (6*z^6)/a^12 - 
   (40*z^6)/a^10 + (59*z^6)/a^8 - (16*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + 
   (32*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + 
   z^12/a^8, Knot[15, Alternating, 42914] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-4) + (4*z^2)/a^12 - (13*z^2)/a^10 + (10*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^4)/a^12 - (17*z^4)/a^10 + (13*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42915] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (3*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42916] -> -3 + 2/a^6 - 2/a^4 + a^(-2) + 3*a^2 - 
   13*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (22*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (16*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 42917] -> -2 + 2/a^6 - 2/a^4 + a^(-2) + a^2 + a^4 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 3*z^4 - z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42918] -> a^6 + 7*a^8 - 11*a^10 + 4*a^12 + 2*a^6*z^2 + 
   29*a^8*z^2 - 40*a^10*z^2 + 14*a^12*z^2 - 9*a^6*z^4 + 53*a^8*z^4 - 
   61*a^10*z^4 + 16*a^12*z^4 - 15*a^6*z^6 + 54*a^8*z^6 - 46*a^10*z^6 + 
   7*a^12*z^6 - 7*a^6*z^8 + 31*a^8*z^8 - 16*a^10*z^8 + a^12*z^8 - a^6*z^10 + 
   9*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 42919] -> 
  3*a^6 + 2*a^8 - 7*a^10 + 3*a^12 + a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 
   17*a^10*z^2 + 7*a^12*z^2 - 3*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 
   20*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 8*a^6*z^6 + 8*a^8*z^6 - 
   11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 42920] -> 
  5*a^6 - 3*a^8 - 3*a^10 + 2*a^12 + 12*a^6*z^2 - 4*a^8*z^2 - 10*a^10*z^2 + 
   5*a^12*z^2 - 4*a^4*z^4 + 13*a^6*z^4 - a^8*z^4 - 14*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 10*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42921] -> 5*a^6 - 3*a^8 - 3*a^10 + 2*a^12 + a^2*z^2 + 
   a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 42922] -> 7*a^6 - 8*a^8 + a^10 + a^12 - 
   3*a^4*z^2 + 22*a^6*z^2 - 18*a^8*z^2 - 3*a^10*z^2 + 4*a^12*z^2 - 
   7*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 - 11*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 15*a^6*z^6 + a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42923] -> 2*a^4 + 2*a^6 - 4*a^8 + a^12 - a^2*z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42924] -> 3/a^16 - 7/a^14 + 5/a^10 + (3*z^2)/a^16 - 
   (21*z^2)/a^14 + (9*z^2)/a^12 + (21*z^2)/a^10 + z^2/a^8 - z^4/a^16 - 
   (18*z^4)/a^14 + (27*z^4)/a^12 + (32*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - 
   (3*z^6)/a^14 + (23*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 42925] -> 
  3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + (3*z^2)/a^16 - (23*z^2)/a^14 + 
   (17*z^2)/a^12 + (12*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (19*z^4)/a^14 + 
   (34*z^4)/a^12 + (22*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (25*z^6)/a^12 + (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 42926] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (2*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 - 
   (9*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + 
   (3*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42927] -> 
  -a^(-14) + 2/a^12 - 3/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + 
   (4*z^2)/a^12 - (4*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 42928] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42929] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 42930] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 4*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 
   6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 22*a^6*z^4 - a^8*z^4 - 
   7*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 14*a^6*z^6 + 3*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 42931] -> -a^(-12) + 2/a^6 - (2*z^2)/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42932] -> 
  -2/a^10 + a^(-8) + 2/a^6 - z^2/a^14 + z^2/a^12 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (2*z^4)/a^8 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 42933] -> -1 + a^(-2) + a^2 - 6*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 42934] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + 
   a^4 + 5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 42935] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   4*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (9*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42936] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 42937] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - z^2 + 
   a^2*z^2 + 8*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 
   6*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 4*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 42938] -> 3*a^6 + 2*a^8 - 7*a^10 + 
   3*a^12 - 2*a^4*z^2 + 11*a^6*z^2 + 6*a^8*z^2 - 16*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 + 15*a^6*z^4 + 7*a^8*z^4 - 16*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 42939] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42940] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 7*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 42941] -> 
  a^6 + 4*a^10 - 5*a^12 + a^14 + a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   16*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 6*a^6*z^4 - 9*a^8*z^4 + 
   16*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 42942] -> a^4 + 2*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 
   z^2 + a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 42943] -> a^4 + 2*a^6 - 4*a^10 + 2*a^12 - a^2*z^2 + 
   3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 7*a^6*z^4 - 2*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42944] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^8 + 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 42945] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42946] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 - 
   (9*z^2)/a^14 + (2*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 42947] -> a^(-14) - 3/a^12 + 2/a^10 - 
   2/a^8 + 3/a^6 - z^2/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 - (10*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (4*z^4)/a^12 + (9*z^4)/a^10 - 
   (16*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42948] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + 2*z^2 - 
   z^2/a^10 + (7*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 42949] -> 
  -2 - 4/a^6 + 5/a^4 + 2/a^2 - 2*z^2 + z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 42950] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42951] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (5*z^2)/a^8 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42952] -> 2*a^4 + a^8 - 4*a^10 + 2*a^12 + 5*a^4*z^2 - 
   2*a^6*z^2 + 4*a^8*z^2 - 8*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 + 4*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 
   a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 42953] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   4*a^4*z^2 - 7*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 
   6*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 42954] -> 
  -6/a^8 + 12/a^6 - 7/a^4 + 2/a^2 - (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (27*z^2)/a^6 - (18*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (6*z^4)/a^8 + 
   (23*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (12*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 42955] -> 1 - 2/a^10 + 3/a^8 - 3/a^6 + 5/a^4 - 3/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 42956] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42957] -> 
  2*a^2 - a^4 - 4*z^2 + z^2/a^6 - z^2/a^4 + 8*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 42958] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   z^4/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42959] -> -2 + 2/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42960] -> 2/a^6 - 2/a^4 + a^4 - 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42961] -> a^(-6) - a^(-4) + a^2 - z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 42962] -> 
  1 + 2/a^4 - 3/a^2 + 2*a^4 - a^6 + 3*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 42963] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (3*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42964] -> 
  9*a^8 - 12*a^10 + 4*a^12 - 4*a^4*z^2 + 4*a^6*z^2 + 32*a^8*z^2 - 
   34*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 8*a^6*z^4 + 46*a^8*z^4 - 
   36*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 34*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 42965] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 - 2*a^2*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - 
   11*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 18*a^6*z^4 + 5*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 42966] -> 3*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 - 
   4*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 42967] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (8*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 42968] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 42969] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 7*z^2 + 
   (6*z^2)/a^4 - (16*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (7*z^4)/a^4 - 
   (20*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 42970] -> -3 + a^(-8) - 5/a^6 + 3/a^4 + 
   5/a^2 - 9*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + (13*z^2)/a^4 + (14*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + (25*z^4)/a^4 + (17*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42971] -> 2 - a^(-8) + a^(-6) - a^2 + 4*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   4*z^4 - (4*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 42972] -> 1 - a^(-10) + a^(-6) + 2/a^4 - 2/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 42973] -> 
  7 - 3/a^2 - 3*a^2 + 16*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 
   7*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 42974] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - 4*z^2 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 42975] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 42976] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (2*z^2)/a^16 - (17*z^2)/a^14 + 
   (7*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (15*z^4)/a^14 + 
   (24*z^4)/a^12 + (29*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (20*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 42977] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (8*z^2)/a^14 + (5*z^2)/a^12 + 
   (7*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (10*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 42978] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   10*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - (9*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^6 + (26*z^4)/a^4 - (27*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 42979] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 42980] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 - 
   (3*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42981] -> 
  -a^(-12) + a^(-10) + a^(-2) - z^2/a^14 + z^2/a^12 + (3*z^2)/a^10 - 
   z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (4*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 42982] -> -2 + a^(-4) + 4*a^2 - 3*a^4 + 
   a^8 - 2*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   4*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 + 6*a^4*z^4 - 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 42983] -> 
  2 + a^(-4) - a^(-2) - a^2 - 2*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 42984] -> -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - z^2 - 
   z^2/a^6 - (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[15, Alternating, 42985] -> 2 - 2*a^2 + a^4 - z^2/a^4 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 42986] -> -2 + 2/a^4 - 2/a^2 + 4*a^2 - a^4 - 3*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42987] -> 
  -1 + 2/a^8 - 3/a^6 - 2/a^4 + 5/a^2 - 3*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + 
   z^2/a^4 + (8*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 42988] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (3*z^2)/a^14 + (10*z^2)/a^12 - (15*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (22*z^4)/a^12 - (27*z^4)/a^10 + (7*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 42989] -> a^(-12) - 4/a^10 + 3/a^8 + 
   a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 42990] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (26*z^2)/a^14 + (17*z^2)/a^12 + (18*z^2)/a^10 + z^2/a^8 - 
   z^4/a^16 - (21*z^4)/a^14 + (34*z^4)/a^12 + (30*z^4)/a^10 + (3*z^4)/a^8 - 
   z^6/a^16 - (3*z^6)/a^14 + (25*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + 
   z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 42991] -> -3/a^10 + 3/a^8 + a^(-6) - z^2/a^14 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 42992] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (12*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - 
   (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 42993] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 42994] -> 
  -5 + a^(-8) - 3/a^6 - 3/a^4 + 11/a^2 - 14*z^2 + (5*z^2)/a^8 - 
   (16*z^2)/a^6 + (2*z^2)/a^4 + (29*z^2)/a^2 - 14*z^4 + (4*z^4)/a^8 - 
   (22*z^4)/a^6 + (13*z^4)/a^4 + (33*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (11*z^6)/a^6 + (14*z^6)/a^4 + (21*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 42995] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 + 
   2*z^2 + z^2/a^4 - (5*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^4 - (12*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 42996] -> 
  3 - a^(-4) - a^4 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 11*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 42997] -> 
  4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 + 6*z^2 + (8*z^2)/a^4 - (19*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 + z^4 + (10*z^4)/a^4 - (25*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 42998] -> 2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 + z^2 + 
   (6*z^2)/a^4 - (14*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + 
   (7*z^4)/a^4 - (17*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 42999] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + 
   (13*z^2)/a^4 - (3*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + 
   (25*z^4)/a^4 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 43000] -> 
  -4 + 2/a^4 - 3/a^2 + 11*a^2 - 5*a^4 - 10*z^2 + (10*z^2)/a^4 - 
   (17*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 - 15*z^4 + (13*z^4)/a^4 - 
   (27*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + (6*z^6)/a^4 - 
   (20*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43001] -> 
  -3 + 2/a^4 - 3/a^2 + 9*a^2 - 4*a^4 - 8*z^2 + (7*z^2)/a^4 - (12*z^2)/a^2 + 
   20*a^2*z^2 - 6*a^4*z^2 - 11*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 43002] -> 3 - a^(-2) + a^2 - 4*a^4 + 
   2*a^6 + 13*z^2 - (7*z^2)/a^2 + 2*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 
   20*z^4 - (9*z^4)/a^2 + 7*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - 
   (5*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 43003] -> 
  5 - a^(-2) - 4*a^2 + a^6 + 9*z^2 - (3*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43004] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 43005] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (2*z^2)/a^16 - (18*z^2)/a^14 + 
   (8*z^2)/a^12 + (21*z^2)/a^10 + z^2/a^8 - z^4/a^16 - (17*z^4)/a^14 + 
   (27*z^4)/a^12 + (32*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (23*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 43006] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 9*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - 
   (22*z^2)/a^2 + 18*z^4 - (6*z^4)/a^6 + (34*z^4)/a^4 - (51*z^4)/a^2 + 
   15*z^6 - (4*z^6)/a^6 + (29*z^6)/a^4 - (52*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 43007] -> 15 - 7/a^2 - 7*a^2 + 60*z^2 + 
   (3*z^2)/a^4 - (31*z^2)/a^2 - 25*a^2*z^2 + 95*z^4 + (6*z^4)/a^4 - 
   (47*z^4)/a^2 - 32*a^2*z^4 + 78*z^6 + (4*z^6)/a^4 - (35*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 43008] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 3*z^2 + (4*z^2)/a^8 - (18*z^2)/a^6 + 
   (22*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (23*z^4)/a^6 + 
   (32*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (26*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 43009] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 5*z^2 - (3*z^2)/a^6 + (18*z^2)/a^4 - 
   (20*z^2)/a^2 + 7*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (24*z^4)/a^4 - 
   (35*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (29*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 43010] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 6*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 10*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 43011] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (7*z^2)/a^8 - (24*z^2)/a^6 + (28*z^2)/a^4 - (8*z^2)/a^2 + (9*z^4)/a^8 - 
   (41*z^4)/a^6 + (50*z^4)/a^4 - (16*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + 
   (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 43012] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 3*z^2 + 
   (7*z^2)/a^4 - (14*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + 
   (9*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43013] -> 
  1 + 2/a^4 - 3/a^2 + 2*a^4 - a^6 - 5*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43014] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 3*a^2*z^2 + 
   21*a^4*z^2 - 31*a^6*z^2 + 12*a^8*z^2 - 12*a^2*z^4 + 41*a^4*z^4 - 
   50*a^6*z^4 + 13*a^8*z^4 - 13*a^2*z^6 + 44*a^4*z^6 - 38*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 43015] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 - 2*z^2 + 8*a^2*z^2 - 4*a^4*z^2 - 9*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 2*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43016] -> 3*a^6 + 2*a^8 - 7*a^10 + 3*a^12 + 
   7*a^6*z^2 + 8*a^8*z^2 - 16*a^10*z^2 + 5*a^12*z^2 - 2*a^4*z^4 + 7*a^6*z^4 + 
   10*a^8*z^4 - 16*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + 
   7*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 43017] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 
   10*a^2*z^2 - 6*a^4*z^2 + 2*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43018] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (5*z^2)/a^8 - (6*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (8*z^4)/a^8 - (16*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43019] -> 3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43020] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 
   5*a^2*z^2 + 22*a^4*z^2 - 26*a^6*z^2 + 9*a^8*z^2 - 13*a^2*z^4 + 
   44*a^4*z^4 - 46*a^6*z^4 + 12*a^8*z^4 - 13*a^2*z^6 + 45*a^4*z^6 - 
   37*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 43021] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 12*a^2*z^2 - 
   8*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 15*a^2*z^4 - 3*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43022] -> -2/a^6 + 3/a^4 - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + 
   (16*z^4)/a^8 - (19*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (20*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43023] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (3*z^2)/a^16 - (25*z^2)/a^14 + (20*z^2)/a^12 + (15*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (20*z^4)/a^14 + (37*z^4)/a^12 + (25*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (26*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 43024] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43025] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + 
   z^2/a^16 - (14*z^2)/a^14 + (11*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (16*z^4)/a^12 + (15*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 43026] -> 
  -2/a^12 + 4/a^10 - 5/a^8 + 4/a^6 - (2*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 - 
   (9*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + 
   (3*z^4)/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43027] -> 
  a^(-10) - 7/a^8 + 11/a^6 - 6/a^4 + 2/a^2 - (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (25*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (5*z^4)/a^8 + 
   (22*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (12*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43028] -> 1 - a^(-10) + 2/a^8 - 4/a^6 + 6/a^4 - 
   3/a^2 + 2*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43029] -> 1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 + 3*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 15*a^2*z^2 - 8*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 43030] -> 
  -4 + a^(-8) - 3/a^6 - 2/a^4 + 9/a^2 - 10*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + 
   (2*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (9*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43031] -> 
  6*a^6 - 7*a^8 + 2*a^10 - 2*z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 20*a^6*z^2 - 
   15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 14*a^4*z^4 + 24*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 43032] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 4*a^4*z^2 + 
   17*a^6*z^2 - 4*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 
   22*a^6*z^4 - a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   14*a^6*z^6 + 3*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 43033] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (4*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (16*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43034] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43035] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + 
   (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43036] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 43037] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43038] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 5*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 + 12*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43039] -> 3 - a^(-2) + 2*a^2 - 6*a^4 + 3*a^6 + 
   18*z^2 - (10*z^2)/a^2 + 4*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 + 28*z^4 - 
   (13*z^4)/a^2 + 11*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 + 20*z^6 - 
   (6*z^6)/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 
   6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 43040] -> 
  5*a^2 - 6*a^4 + a^6 + a^8 + z^2 - (4*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - (4*z^4)/a^2 + 17*a^2*z^4 - 6*a^4*z^4 - 
   7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 10*a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43041] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (6*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43042] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + 3*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43043] -> -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 
   17*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43044] -> -a^(-4) + 2/a^2 - 4*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 
   11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 43045] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43046] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (5*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43047] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 9*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43048] -> 3*a^6 + 2*a^8 - 7*a^10 + 3*a^12 - 
   2*a^4*z^2 + 13*a^6*z^2 + 2*a^8*z^2 - 14*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 + 16*a^6*z^4 + 3*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 11*a^6*z^6 + 5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 43049] -> a^4 + 2*a^6 - 4*a^10 + 2*a^12 - a^2*z^2 + 
   5*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43050] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43051] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43052] -> -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43053] -> 1 + a^(-10) - 4/a^8 + 4/a^6 - a^(-2) + 
   2*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43054] -> a^(-4) - a^(-2) + 3*a^2 - 3*a^4 + a^8 - 
   z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 + (3*z^4)/a^4 + 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 43055] -> 4 + a^(-4) - 2/a^2 - 2*a^2 - 
   2*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   7*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 43056] -> 
  1 + a^(-4) - a^(-2) + a^2 - 2*a^4 + a^8 - z^2/a^6 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   5*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 43057] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43058] -> 
  2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 4*z^2 + z^2/a^8 + z^2/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43059] -> a^(-2) - a^6 + a^8 - 2*z^2 - z^2/a^6 + 
   z^2/a^2 + a^2*z^2 - 3*a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 43060] -> 
  2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - 8*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 9*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 43061] -> 
  a^2 + a^10 - a^12 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 
   2*a^2*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 43062] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 3*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 43063] -> 
  a^(-2) + a^2 - 2*a^4 + a^8 + z^2 - z^2/a^6 - z^2/a^4 + z^2/a^2 - 
   3*a^4*z^2 - 2*a^6*z^2 + 4*z^4 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   a^4*z^4, Knot[15, Alternating, 43064] -> a^2 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 - z^2 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 - 2*a^4*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 43065] -> a^2 + a^6 - 2*a^10 + a^12 - z^2 + 
   3*a^2*z^2 + a^6*z^2 + a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - z^4 + 2*a^2*z^4 + 
   a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 43066] -> 2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 - 
   (9*z^2)/a^14 + (7*z^2)/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (9*z^4)/a^12 + (11*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 43067] -> -a^(-10) + 3/a^8 - 4/a^6 + 
   2/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (7*z^2)/a^8 - (8*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - (8*z^4)/a^6 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 43068] -> 
  2 - 4/a^6 + 7/a^4 - 3/a^2 - a^2 + 6*z^2 + z^2/a^8 - (8*z^2)/a^6 + 
   (14*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 8*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (11*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43069] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^4/a^12 - (6*z^4)/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 43070] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - 2*z^2 - z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 43071] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 43072] -> 
  2*a^4 - a^8 - z^2 + a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 43073] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + (12*z^4)/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + (18*z^6)/a^8 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + (3*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 43074] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (8*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (2*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (8*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43075] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2/a^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 43076] -> -2 - 2/a^8 + 4/a^6 - 5/a^4 + 
   6/a^2 - 5*z^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^6 - 
   (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 43077] -> -a^(-10) - 3/a^8 + 7/a^6 - 
   2/a^4 + z^2/a^12 - (7*z^2)/a^10 + (2*z^2)/a^8 + (17*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + (11*z^4)/a^8 + 
   (18*z^4)/a^6 - (3*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43078] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - 
   (2*z^2)/a^4 + (13*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43079] -> 
  -1 + 2/a^8 - 2/a^6 - 4/a^4 + 6/a^2 - 4*z^2 + (6*z^2)/a^8 - (11*z^2)/a^6 - 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (16*z^4)/a^6 - 
   (5*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43080] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) + z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43081] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43082] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43083] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (2*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43084] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43085] -> -a^(-12) + 2/a^10 - 4/a^8 + 6/a^6 - 4/a^4 + 
   2/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (19*z^4)/a^8 + 
   (16*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + 
   (11*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 43086] -> 
  -a^(-6) + a^(-4) + a^(-2) + 8*z^2 - (4*z^2)/a^6 + (17*z^2)/a^4 - 
   (19*z^2)/a^2 + 20*z^4 - (8*z^4)/a^6 + (40*z^4)/a^4 - (56*z^4)/a^2 + 
   18*z^6 - (5*z^6)/a^6 + (36*z^6)/a^4 - (61*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 43087] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + 5*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - (15*z^2)/a^2 + a^2*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (18*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43088] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 8*z^2 - z^2/a^8 + z^2/a^6 + (11*z^2)/a^4 - 
   (18*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - 
   (25*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 43089] -> 2 - a^(-6) + 3/a^4 - 3/a^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43090] -> 17 - 8/a^2 - 8*a^2 + 68*z^2 + (4*z^2)/a^4 - 
   (36*z^2)/a^2 - 28*a^2*z^2 + 112*z^4 + (8*z^4)/a^4 - (58*z^4)/a^2 - 
   38*a^2*z^4 + 93*z^6 + (5*z^6)/a^4 - (43*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 43091] -> 9 - 5/a^2 - a^2 - 2*a^4 + 26*z^2 + 
   (2*z^2)/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 29*z^4 + 
   (3*z^4)/a^4 - (19*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + 17*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 43092] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 30*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 - z^2/a^2 - 
   15*a^2*z^2 + 37*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 + 22*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 
   7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43093] -> 7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 14*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 14*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43094] -> 5 - 3/a^2 + a^2 - 2*a^4 + 20*z^2 + 
   (3*z^2)/a^4 - (16*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 36*z^4 + 
   (4*z^4)/a^4 - (26*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 43095] -> 
  3 - a^(-4) - a^4 + 12*z^2 + z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 
   3*a^4*z^2 + 17*z^4 + z^4/a^6 - (6*z^4)/a^4 + a^2*z^4 - 3*a^4*z^4 + 
   11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 43096] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 12*z^4 + z^4/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 43097] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + z^2/a^10 - z^2/a^8 - 
   (8*z^2)/a^6 + (14*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (2*z^4)/a^6 + (8*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 43098] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43099] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 19*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 12*z^6 + 
   (2*z^6)/a^4 + z^6/a^2 - a^2*z^6 + a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43100] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + 
   (8*z^2)/a^8 - (29*z^2)/a^6 + (36*z^2)/a^4 - (11*z^2)/a^2 + (12*z^4)/a^8 - 
   (53*z^4)/a^6 + (66*z^4)/a^4 - (21*z^4)/a^2 + (6*z^6)/a^8 - (42*z^6)/a^6 + 
   (63*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (33*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 43101] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + 
   (5*z^2)/a^8 - (16*z^2)/a^6 + (16*z^2)/a^4 - 5*z^4 + (4*z^4)/a^8 - 
   (19*z^4)/a^6 + (16*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (11*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43102] -> 3 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - 4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43103] -> -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (3*z^4)/a^6 + (14*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^10 - 
   (10*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + 
   (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 43104] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43105] -> -6 + 2/a^6 - 3/a^4 + 4/a^2 + 4*a^2 - 
   17*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (18*z^2)/a^2 + 
   4*a^2*z^2 - 13*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (27*z^4)/a^4 + 
   (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (15*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 43106] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - a^2*z^2 + 
   14*a^4*z^2 - 22*a^6*z^2 + 9*a^8*z^2 - 9*a^2*z^4 + 32*a^4*z^4 - 
   42*a^6*z^4 + 12*a^8*z^4 - 12*a^2*z^6 + 39*a^4*z^6 - 36*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 43107] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 + a^2*z^2 + 5*a^4*z^2 - 12*a^6*z^2 + 
   5*a^8*z^2 - 2*z^4 + 2*a^2*z^4 + 6*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 
   3*z^6 + 5*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43108] -> a^6 + 8*a^8 - 13*a^10 + 5*a^12 - 2*a^6*z^2 + 
   37*a^8*z^2 - 45*a^10*z^2 + 14*a^12*z^2 - 13*a^6*z^4 + 65*a^8*z^4 - 
   65*a^10*z^4 + 16*a^12*z^4 - 16*a^6*z^6 + 60*a^8*z^6 - 47*a^10*z^6 + 
   7*a^12*z^6 - 7*a^6*z^8 + 32*a^8*z^8 - 16*a^10*z^8 + a^12*z^8 - a^6*z^10 + 
   9*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 43109] -> 
  4*a^6 - 6*a^10 + 3*a^12 - a^4*z^2 + 10*a^6*z^2 + 6*a^8*z^2 - 19*a^10*z^2 + 
   7*a^12*z^2 - 4*a^4*z^4 + 11*a^6*z^4 + 10*a^8*z^4 - 21*a^10*z^4 + 
   5*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 9*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 43110] -> 7*a^6 - 8*a^8 + a^10 + a^12 - 4*a^4*z^2 + 
   23*a^6*z^2 - 17*a^8*z^2 - 4*a^10*z^2 + 4*a^12*z^2 - 8*a^4*z^4 + 
   26*a^6*z^4 - 10*a^8*z^4 - 12*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 
   16*a^6*z^6 + 2*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 43111] -> 5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 + 
   (4*z^2)/a^4 - (14*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 10*z^4 + 
   (8*z^4)/a^4 - (20*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43112] -> 
  3 - a^(-4) - a^4 + 6*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43113] -> 
  -2/a^12 + 2/a^10 + a^(-8) - 2/a^6 + 2/a^4 - z^2/a^14 - (2*z^2)/a^12 + 
   (8*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (3*z^4)/a^12 + (7*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43114] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (4*z^2)/a^16 - (26*z^2)/a^14 + 
   (17*z^2)/a^12 + (18*z^2)/a^10 + z^2/a^8 - z^4/a^16 - (20*z^4)/a^14 + 
   (33*z^4)/a^12 + (29*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (23*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 43115] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (11*z^2)/a^14 + 
   (2*z^2)/a^12 + (15*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - (5*z^4)/a^14 + 
   (9*z^4)/a^12 + (21*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 43116] -> -4 + 3/a^2 + 2*a^2 - a^4 + a^6 - 11*z^2 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 5*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 43117] -> -a^(-14) + a^(-12) - 2/a^8 + 
   3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   (7*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43118] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 - 
   z^2/a^6 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43119] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 3*z^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - 
   (17*z^2)/a^2 + 2*a^2*z^2 - z^4 - (3*z^4)/a^6 + (20*z^4)/a^4 - 
   (27*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (24*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 43120] -> 
  -a^(-10) + 5/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (5*z^2)/a^10 + (24*z^2)/a^8 - 
   (28*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (31*z^4)/a^8 - 
   (44*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (34*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43121] -> 1 + 2/a^8 - 3/a^6 + a^(-2) - 3*z^2 + 
   (6*z^2)/a^8 - (12*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + 
   (8*z^4)/a^8 - (18*z^4)/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43122] -> -1 + 2/a^8 - 3/a^6 + 2/a^2 + a^2 - z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43123] -> 1 + 2/a^6 - 2/a^4 - 2*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43124] -> 4*a^6 - 6*a^10 + 3*a^12 - 3*a^4*z^2 + 
   16*a^6*z^2 - 17*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 20*a^6*z^4 + 
   3*a^8*z^4 - 20*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 
   7*a^8*z^6 - 11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 43125] -> 
  a^4 + 3*a^6 - 2*a^8 - 3*a^10 + 2*a^12 - a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 
   5*a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 8*a^6*z^4 - 
   3*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43126] -> 2*a^4 + 2*a^6 - 4*a^8 + a^12 - 2*a^2*z^2 + 
   6*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   5*a^4*z^4 + 7*a^6*z^4 - 6*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43127] -> -3 + 8*a^2 - 4*a^4 - 4*z^2 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 5*z^4 + (8*z^4)/a^4 - 
   (16*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43128] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 + z^2/a^6 - (5*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43129] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - (4*z^2)/a^10 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (8*z^4)/a^10 - 
   (4*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43130] -> a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 - 
   (9*z^2)/a^14 + (8*z^2)/a^12 + (7*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (12*z^4)/a^12 + (12*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 43131] -> -a^(-8) + 2/a^4 + z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43132] -> 2/a^10 - 8/a^8 + 9/a^6 - 3/a^4 + 
   a^(-2) - z^2/a^10 - (5*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (8*z^4)/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43133] -> 
  -4 + 10*a^2 - 5*a^4 - 13*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 + 7*a^4*z^4 - 6*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43134] -> a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - 
   (18*z^2)/a^10 + (15*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - 
   (26*z^4)/a^10 + (32*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (28*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43135] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (6*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43136] -> -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (20*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (39*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (33*z^6)/a^6 - (15*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 43137] -> 2 - a^(-10) + 4/a^8 - 4/a^6 + 
   a^(-4) - a^(-2) + 5*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (10*z^4)/a^8 - 
   (12*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (8*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43138] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 3*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 12*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 - 10*a^2*z^6 - a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 43139] -> -a^(-4) + 2/a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 43140] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 4*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (7*z^2)/a^4 - (4*z^2)/a^2 + 8*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (9*z^4)/a^4 - (15*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 43141] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43142] -> 
  -1 + a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43143] -> -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43144] -> -5 + 2/a^6 - 2/a^4 + 2/a^2 + 4*a^2 - 
   16*z^2 - z^2/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (17*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (29*z^4)/a^4 + (25*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 43145] -> -1 + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 2*a^4 + 
   2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43146] -> 9*a^6 - 13*a^8 + 5*a^10 - 
   4*a^4*z^2 + 26*a^6*z^2 - 27*a^8*z^2 + 4*a^10*z^2 + 2*a^12*z^2 - 
   8*a^4*z^4 + 29*a^6*z^4 - 20*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 
   5*a^4*z^6 + 17*a^6*z^6 - 3*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 43147] -> 4*a^4 - 3*a^6 - a^10 + a^12 - 2*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43148] -> 3*a^4 - 2*a^6 - 4*z^2 + z^2/a^4 + 
   2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43149] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^4 - 
   z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 43150] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 
   53*z^2 + (13*z^2)/a^4 - (45*z^2)/a^2 - 17*a^2*z^2 + 73*z^4 + 
   (22*z^4)/a^4 - (74*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + (18*z^6)/a^4 - 
   (65*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 43151] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 13*z^2 + 
   (7*z^2)/a^4 - (20*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 7*z^4 + (9*z^4)/a^4 - 
   (24*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43152] -> 
  2 - 5*a^2 + 7*a^4 - 3*a^6 + 7*z^2 - 24*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 + 
   13*z^4 - 45*a^2*z^4 + 46*a^4*z^4 - 12*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 
   37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 43153] -> 
  2*a^4 - a^8 + 7*a^4*z^2 - 12*a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 
   11*a^4*z^4 - 34*a^6*z^4 + 38*a^8*z^4 - 11*a^10*z^4 + 12*a^4*z^6 - 
   40*a^6*z^6 + 35*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 25*a^6*z^8 + 
   14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 43154] -> 4*a^4 - 5*a^6 + 3*a^8 - a^10 + a^2*z^2 + 
   4*a^4*z^2 - 9*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 
   8*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 43155] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (8*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (17*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 43156] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (5*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 - 
   z^6 - (3*z^6)/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 43157] -> 
  -5/a^8 + 8/a^6 - 2/a^4 + z^2/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + 
   (21*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (7*z^4)/a^8 + (23*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 43158] -> a^(-2) - a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   8*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 43159] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (8*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + 
   (16*z^4)/a^8 - (14*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (19*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43160] -> -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 
   4/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - (7*z^4)/a^10 - 
   (12*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43161] -> -a^(-14) + 3/a^12 - a^(-10) - 3/a^8 + 
   3/a^4 - z^2/a^14 + (6*z^2)/a^12 - z^2/a^10 - (10*z^2)/a^8 + (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (13*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43162] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43163] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (9*z^2)/a^14 + (6*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (4*z^4)/a^14 + (12*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 43164] -> 2 - 3*a^2 + 5*a^6 - 3*a^8 + 
   8*z^2 - 14*a^2*z^2 - 2*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 9*z^4 - 
   21*a^2*z^4 - 8*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 
   9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 43165] -> 
  -1 + a^(-2) - a^2 + 3*a^4 - a^8 - 4*z^2 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   7*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 
   3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 43166] -> 
  1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43167] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 43168] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43169] -> 2*a^4 - a^8 + 2*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 43170] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 4*z^2 - 9*a^2*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + 5*z^4 - 13*a^2*z^4 - a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 10*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 43171] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43172] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43173] -> -4 + a^(-8) - 5/a^6 + 2/a^4 + 
   7/a^2 - 12*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + (18*z^2)/a^4 + 
   (18*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + (36*z^4)/a^4 + 
   (21*z^4)/a^2 - 6*z^6 + z^6/a^8 - (16*z^6)/a^6 + (32*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + (6*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 43174] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (13*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + z^4/a^6 + (18*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 43175] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - 
   a^4 - 6*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 43176] -> 
  3 - 2/a^6 + 2/a^4 - 2*a^2 + 6*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (10*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43177] -> 1 - a^(-8) + a^(-6) - a^(-4) + 2/a^2 - a^2 + 
   z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - (3*z^4)/a^8 + (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 43178] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   2*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43179] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 20*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43180] -> 4 - 2/a^2 - a^4 + 11*z^2 + z^2/a^6 - 
   (8*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 12*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43181] -> 
  -1 + 2/a^8 - 3/a^6 - 2/a^4 + 5/a^2 - 4*z^2 + (6*z^2)/a^8 - (12*z^2)/a^6 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (16*z^4)/a^6 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43182] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43183] -> 
  -2 + 2/a^2 + a^2 - a^6 + a^8 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 43184] -> 
  a^(-14) - 4/a^12 + 2/a^10 + a^(-8) + a^(-6) - z^2/a^14 - (4*z^2)/a^12 + 
   (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (2*z^4)/a^12 + (7*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 + z^6/a^10 - (3*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43185] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43186] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (16*z^4)/a^8 - (16*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (12*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43187] -> -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 - (3*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (3*z^4)/a^10 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43188] -> -a^(-12) + a^(-10) - a^(-8) + 2/a^6 - 
   a^(-4) + a^(-2) - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^8 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43189] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (13*z^4)/a^6 + (15*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + 
   (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 43190] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 - (4*z^4)/a^8 + z^4/a^6 + 
   (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 43191] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 - z^4/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43192] -> -3 + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43193] -> -1 + a^(-4) + a^2 - a^6 + a^8 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - z^4 + 
   (3*z^4)/a^4 + 5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 43194] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43195] -> 
  1 - a^4 + 2*a^6 - a^8 - 2*z^2 + (2*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 + 3*a^2*z^4 - 9*a^4*z^4 + 
   4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 43196] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43197] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43198] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43199] -> -3/a^8 + 4/a^6 - z^2/a^14 + (3*z^2)/a^12 + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + (4*z^2)/a^4 + (5*z^4)/a^12 - 
   (15*z^4)/a^8 + (4*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43200] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43201] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 + (5*z^2)/a^2 + 18*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - 
   z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 43202] -> a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - (3*z^4)/a^2 - 
   3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 43203] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43204] -> 
  1 - a^(-10) + 3/a^8 - 5/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (10*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43205] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43206] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (2*z^4)/a^4 + z^4/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43207] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43208] -> 
  3 - a^(-2) - a^2 + 22*z^2 - (6*z^2)/a^2 - 24*a^2*z^2 + 9*a^4*z^2 + 43*z^4 - 
   (8*z^4)/a^2 - 59*a^2*z^4 + 21*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 
   62*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 43209] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 14*a^2*z^2 + 
   6*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 21*a^2*z^4 + 9*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 43210] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 14*a^2*z^2 + 6*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 43211] -> 
  -a^(-4) + 2/a^2 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 43212] -> 
  -1 - 4/a^6 + 6/a^4 - 6*z^2 + (4*z^2)/a^8 - (19*z^2)/a^6 + (24*z^2)/a^4 + 
   (3*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (29*z^4)/a^6 + (40*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + (33*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 43213] -> 
  -2/a^8 + 2/a^6 + a^(-4) - 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (16*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43214] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43215] -> 
  a^(-2) - a^4 + a^6 - 7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 43216] -> 1 + 3*z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   11*a^2*z^2 + 6*a^4*z^2 - (2*z^4)/a^4 + (8*z^4)/a^2 - 21*a^2*z^4 + 
   9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 43217] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 16*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - 8*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43218] -> 4 - a^(-4) - 2*a^2 + 8*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43219] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 41*z^2 + (9*z^2)/a^4 - (33*z^2)/a^2 - 
   14*a^2*z^2 + 70*z^4 + (12*z^4)/a^4 - (55*z^4)/a^2 - 22*a^2*z^4 + 64*z^6 + 
   (6*z^6)/a^4 - (42*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 43220] -> 5 - 2/a^2 - 2*a^2 + 17*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 43221] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (11*z^4)/a^2 - 
   5*a^2*z^4 + 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43222] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 18*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + 24*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 43223] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43224] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 12*z^2 - (2*z^2)/a^2 - 22*a^2*z^2 + 
   9*a^4*z^2 + 32*z^4 - (9*z^4)/a^2 - 42*a^2*z^4 + 12*a^4*z^4 + 39*z^6 - 
   (12*z^6)/a^2 - 36*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 43225] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 5*a^2*z^2 + 
   23*a^4*z^2 - 29*a^6*z^2 + 10*a^8*z^2 - 13*a^2*z^4 + 44*a^4*z^4 - 
   47*a^6*z^4 + 12*a^8*z^4 - 13*a^2*z^6 + 45*a^4*z^6 - 37*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 43226] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + 8*z^2 - (2*z^2)/a^2 - 13*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + 14*z^4 - (5*z^4)/a^2 - 11*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 - a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 43227] -> 
  a^6 + 7*a^8 - 11*a^10 + 4*a^12 - 2*a^6*z^2 + 37*a^8*z^2 - 44*a^10*z^2 + 
   14*a^12*z^2 - 13*a^6*z^4 + 65*a^8*z^4 - 65*a^10*z^4 + 16*a^12*z^4 - 
   16*a^6*z^6 + 60*a^8*z^6 - 47*a^10*z^6 + 7*a^12*z^6 - 7*a^6*z^8 + 
   32*a^8*z^8 - 16*a^10*z^8 + a^12*z^8 - a^6*z^10 + 9*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 43228] -> 
  5*a^6 - 4*a^8 - a^10 + a^12 - 3*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 - 
   10*a^10*z^2 + 6*a^12*z^2 - 7*a^4*z^4 + 21*a^6*z^4 - 2*a^8*z^4 - 
   18*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 6*a^8*z^6 - 
   11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 43229] -> 
  3*a^6 + 2*a^8 - 7*a^10 + 3*a^12 - a^4*z^2 + 10*a^6*z^2 + 7*a^8*z^2 - 
   19*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 + 11*a^6*z^4 + 10*a^8*z^4 - 
   21*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 9*a^8*z^6 - 
   11*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 43230] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 - a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 
   6*a^8*z^2 - 4*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 
   4*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43231] -> -8 + 4/a^2 + 6*a^2 - a^4 - 19*z^2 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43232] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 2*z^2 + z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 43233] -> 
  2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43234] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2/a^10 - 
   z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 43235] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (13*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + 
   (28*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 43236] -> 
  -a^(-8) + 2/a^4 - 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^4 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + (14*z^4)/a^4 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 43237] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (7*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (9*z^4)/a^6 + 
   (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43238] -> -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^8 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 43239] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + z^2 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43240] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - 4*z^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 14*a^2*z^4 + 
   a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 43241] -> -a^(-4) + 2/a^2 + z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43242] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43243] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43244] -> -2 + 4*a^2 + a^4 - 2*a^6 - 7*z^2 + z^2/a^2 + 
   6*a^2*z^2 + 13*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 
   23*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43245] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 6*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43246] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43247] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 14*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + 
   (8*z^4)/a^2 - 18*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 
   12*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 43248] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43249] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 - 
   2*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 - 6*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   a^6*z^4 - 5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 43250] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 43251] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^6 + (6*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - 5*z^4 + (3*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 43252] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 43253] -> 
  -3 + 2/a^6 - 3/a^4 + 3/a^2 + a^2 + a^4 - 7*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43254] -> 5*a^2 - 6*a^4 + a^6 + a^8 - 3*z^2 + 
   12*a^2*z^2 - 13*a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 16*a^2*z^4 - 
   10*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43255] -> 5*a^6 - 3*a^8 - 3*a^10 + 2*a^12 - 
   2*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 12*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 + 16*a^6*z^4 + 2*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 11*a^6*z^6 + 5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 43256] -> 2*a^4 + a^6 - 2*a^8 - a^10 + a^12 - 
   a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 43257] -> 2 - a^(-2) + a^2 - a^4 + z^2 - 
   z^2/a^2 + 3*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 43258] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 7*z^2 - 
   24*a^2*z^2 + 27*a^4*z^2 - 9*a^6*z^2 + 13*z^4 - 45*a^2*z^4 + 46*a^4*z^4 - 
   12*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 43259] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 
   14*z^2 + (6*z^2)/a^4 - (18*z^2)/a^2 - 2*a^4*z^2 + 10*z^4 + (7*z^4)/a^4 - 
   (21*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (13*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 43260] -> 2 - 2*a^2 + 2*a^6 - a^8 + 
   4*z^2 - 9*a^2*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 13*a^2*z^4 - a^4*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 10*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 43261] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (12*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43262] -> -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 - (21*z^2)/a^8 + (12*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (3*z^4)/a^10 - (23*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43263] -> 2/a^14 - 7/a^12 + 5/a^10 + a^(-6) - 
   (10*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^6 + z^2/a^4 - z^4/a^14 - 
   z^4/a^12 + (16*z^4)/a^10 - (4*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 + (4*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43264] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (14*z^2)/a^6 - (20*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (25*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43265] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43266] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43267] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43268] -> 
  1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 - 3*z^2 + 10*a^2*z^2 - 15*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 16*a^2*z^4 - 17*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 43269] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   14*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 43270] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 - z^2/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - (16*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43271] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 - z^2/a^6 - z^2/a^4 + (12*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43272] -> a^(-10) - 7/a^8 + 11/a^6 - 6/a^4 + 2/a^2 - 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (25*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (5*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (12*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43273] -> -4 - a^(-8) + 3/a^6 - 8/a^4 + 11/a^2 - 
   10*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (26*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (4*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43274] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43275] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (4*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (12*z^4)/a^8 + (12*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43276] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^8 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43277] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43278] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 8*z^2 + (6*z^2)/a^4 - (16*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (7*z^4)/a^4 - (20*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43279] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 - 2*z^2 + 
   (5*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (17*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (12*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43280] -> 2 + 2/a^6 - 3/a^4 + 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + z^6/a^8 + 
   (5*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 43281] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43282] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43283] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + z^2/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 43284] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 + z^4/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 43285] -> 3 - 4*a^2 + 2*a^4 + 4*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43286] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   11*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 43287] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 - a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 43288] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 - z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 43289] -> 
  -a^(-8) + 2/a^4 - z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 43290] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 43291] -> 
  4 + a^(-4) - 2/a^2 - 3*a^2 + a^6 + 5*z^2 - z^2/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 43292] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 + 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 11*a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 43293] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43294] -> -1 + a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43295] -> a^(-4) - a^(-2) + a^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43296] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 6*z^2 + (2*z^2)/a^8 - (12*z^2)/a^4 + 
   (18*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 43297] -> 2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + 
   a^10 - 2*z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 + 8*a^2*z^6 - 
   7*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 43298] -> 
  -1 + 2/a^2 - a^2 + a^6 - 5*z^2 + (3*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - 3*z^4 + a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 3*z^6 - 
   (3*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 43299] -> 
  a^(-4) - a^2 + a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43300] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (12*z^4)/a^6 - 
   (10*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43301] -> a^(-6) - a^(-4) + a^2 - 7*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43302] -> 
  -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (10*z^2)/a^10 - (2*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43303] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (10*z^4)/a^8 - 
   z^4/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43304] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43305] -> 
  5*a^6 - 3*a^8 - 3*a^10 + 2*a^12 - 4*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 - 
   10*a^10*z^2 + 5*a^12*z^2 - 8*a^4*z^4 + 25*a^6*z^4 - 5*a^8*z^4 - 
   14*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 16*a^6*z^6 + 3*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 43306] -> 
  2*a^4 + a^6 - 2*a^8 - a^10 + a^12 - 2*a^2*z^2 + 6*a^4*z^2 + 5*a^6*z^2 - 
   7*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 7*a^6*z^4 - 
   6*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43307] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) - (10*z^2)/a^14 + (8*z^2)/a^12 + (10*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + (13*z^4)/a^12 + (16*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 43308] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - (2*z^2)/a^14 + (3*z^2)/a^12 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43309] -> 
  -3/a^10 + 3/a^8 + a^(-6) - z^2/a^14 + z^2/a^12 - z^2/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - z^4/a^8 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43310] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (4*z^4)/a^12 + (9*z^4)/a^10 - (16*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43311] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43312] -> 
  1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (10*z^2)/a^6 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (11*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43313] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43314] -> 
  5 + a^(-4) - 3/a^2 - 3*a^2 + a^4 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 2*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 43315] -> 
  a^4 + 4*a^6 - 5*a^8 + a^12 - a^2*z^2 + 2*a^4*z^2 + 12*a^6*z^2 - 
   13*a^8*z^2 + a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 14*a^6*z^4 - 
   12*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43316] -> 2 - 7*a^2 + 11*a^4 - 5*a^6 + 9*z^2 - 
   31*a^2*z^2 + 38*a^4*z^2 - 12*a^6*z^2 + 16*z^4 - 54*a^2*z^4 + 54*a^4*z^4 - 
   13*a^6*z^4 + 14*z^6 - 50*a^2*z^6 + 39*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 43317] -> 2 - 2/a^4 + 2/a^2 - a^4 + 
   z^2/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43318] -> 
  a^(-16) - 8/a^12 + 8/a^10 + (2*z^2)/a^16 - (10*z^2)/a^14 - (8*z^2)/a^12 + 
   (26*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (11*z^4)/a^14 + (10*z^4)/a^12 + 
   (33*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (14*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 43319] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 6*z^2 - z^2/a^8 + (9*z^2)/a^6 - (20*z^2)/a^4 + (20*z^2)/a^2 - 
   7*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43320] -> 
  a^(-2) - a^4 + a^6 - 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43321] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 + z^2 - 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 
   4*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 43322] -> 
  -10 - 5/a^4 + 13/a^2 + 3*a^2 - 26*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (22*z^2)/a^2 + 9*a^2*z^2 - 28*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43323] -> -2 + 4*a^2 + a^4 - 2*a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 + 14*a^4*z^2 - 8*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 + 24*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43324] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43325] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 43326] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - z^2/a^14 + (5*z^2)/a^12 - 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43327] -> 2*a^4 + a^8 - 4*a^10 + 2*a^12 - 2*a^2*z^2 + 
   7*a^4*z^2 + 2*a^8*z^2 - 8*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 7*a^4*z^4 + 
   3*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43328] -> a^2 + 2*a^6 - 2*a^8 - a^10 + a^12 - z^2 + 
   2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 
   z^4 + a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 43329] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (16*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43330] -> -3/a^10 + 3/a^8 + a^(-6) - 
   (2*z^2)/a^14 + (3*z^2)/a^12 - (5*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (4*z^4)/a^10 + (6*z^4)/a^8 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43331] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + 
   (6*z^4)/a^6 - (17*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 43332] -> -2 + 6*a^2 - 3*a^4 - 3*z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43333] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43334] -> 2*a^2 - a^4 - 6*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43335] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   13*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43336] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + (3*z^2)/a^10 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^4)/a^12 - (10*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (2*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43337] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^10 + 
   z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43338] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^12 - 
   z^2/a^10 + z^2/a^8 - z^2/a^6 + (2*z^2)/a^2 + z^4/a^12 - (3*z^4)/a^10 + 
   z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 + z^6/a^8 - 
   z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43339] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43340] -> -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 
   17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43341] -> 2 - 2/a^8 + 4/a^6 - 3/a^4 + a^(-2) - a^2 + 
   4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43342] -> -a^(-10) - a^(-8) + 2/a^6 + 2/a^4 - a^(-2) - 
   z^2 + z^2/a^12 - (5*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - z^4 - (4*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 43343] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43344] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   3*z^2 - z^2/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - z^4 + 
   z^4/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43345] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43346] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 43347] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43348] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43349] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   z^2 - z^2/a^12 + (2*z^2)/a^10 + (4*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + 
   z^4 + (3*z^4)/a^10 - z^4/a^8 - (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43350] -> 1 - a^(-12) + 2/a^10 - 3/a^8 + 3/a^6 - 
   a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 43351] -> -a^(-6) + a^(-4) + a^(-2) + 
   3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - a^4*z^4 + 
   3*z^6 + (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 43352] -> a^(-8) - 4/a^6 + 4/a^4 + z^2/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 43353] -> 
  2 + 2/a^4 - 3/a^2 - a^2 + a^4 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 43354] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + a^6*z^2 + 
   z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 43355] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^2 - 
   4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 43356] -> 
  -2 + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 2*a^4 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43357] -> 3*a^4 - a^6 - a^8 - a^10 + a^12 - 
   2*a^2*z^2 + 8*a^4*z^2 - 2*a^6*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 2*a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 43358] -> -2/a^12 + 2/a^10 + a^(-8) - 
   a^(-6) + a^(-2) - z^2/a^14 + (5*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43359] -> 3 + 2/a^4 - 3/a^2 - 2*a^2 + a^6 + 6*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43360] -> -a^(-14) + 2/a^12 - 3/a^10 + 2/a^8 + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43361] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43362] -> a^(-8) - 3/a^6 + 4/a^4 - 2/a^2 + a^2 - 
   3*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 43363] -> 1 - a^(-10) + 4/a^8 - 4/a^6 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - 
   (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43364] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 43365] -> 1 + 2/a^6 - 2/a^4 - a^2 + a^6 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 
   4*z^4 + (2*z^4)/a^6 + z^4/a^4 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 43366] -> a^2 + a^4 - a^8 - a^10 + a^12 - z^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - z^4 + 
   a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 43367] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (2*z^4)/a^8 - (12*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 43368] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (5*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - z^4/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43369] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + z^4 + z^4/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43370] -> 
  a^(-16) - 4/a^14 + 2/a^12 + a^(-10) + a^(-6) - z^2/a^16 - (4*z^2)/a^14 + 
   (5*z^2)/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (5*z^4)/a^12 + (6*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 43371] -> -2/a^10 + a^(-8) + 2/a^6 - 
   z^2/a^14 + z^2/a^12 - z^2/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43372] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4 + 
   (3*z^4)/a^10 - (6*z^4)/a^6 - (3*z^4)/a^4 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 43373] -> 
  a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) - z^2 + z^2/a^12 - 
   (6*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 - z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 43374] -> 
  -a^(-10) + 4/a^8 - 4/a^6 + a^(-4) + a^2 - z^2 - z^2/a^10 + (7*z^2)/a^8 - 
   (7*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 43375] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 + (3*z^4)/a^6 - (7*z^4)/a^2 + 
   a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 43376] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + (3*z^4)/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + a^6*z^4 - 3*z^6 - (2*z^6)/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 43377] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 - 3*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 43378] -> 
  -1 + 2/a^6 - 2/a^4 + a^(-2) + a^6 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 - 3*a^4*z^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 43379] -> 
  2*a^2 - a^4 + a^6 - a^8 - a^10 + a^12 - z^2 + 3*a^2*z^2 - a^4*z^2 - 
   3*a^10*z^2 + a^12*z^2 - z^4 + 2*a^2*z^4 + a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[15, Alternating, 43380] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43381] -> -2 - 3/a^8 + 5/a^6 - 4/a^4 + 5/a^2 - 5*z^2 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43382] -> 1 - 2/a^4 + 3/a^2 - a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 6*z^4 + (5*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43383] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43384] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (4*z^2)/a^14 + (13*z^2)/a^12 - 
   (13*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (24*z^4)/a^12 - (26*z^4)/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (15*z^6)/a^12 - (26*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 43385] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (8*z^4)/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43386] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (19*z^4)/a^8 - (16*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 43387] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43388] -> -2/a^10 + 6/a^6 - 5/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (12*z^4)/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43389] -> -2/a^6 + 3/a^4 - 3*z^2 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43390] -> 
  2 - 8*a^2 + 13*a^4 - 6*a^6 + 11*z^2 - 40*a^2*z^2 + 51*a^4*z^2 - 
   17*a^6*z^2 + 21*z^4 - 70*a^2*z^4 + 72*a^4*z^4 - 17*a^6*z^4 + 18*z^6 - 
   64*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 43391] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 10*a^2*z^2 + 22*a^4*z^2 - 8*a^6*z^2 - 7*z^4 + (5*z^4)/a^2 - 
   12*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 43392] -> 2*a^4 - a^6 + a^8 - a^10 + 
   7*a^4*z^2 - 13*a^6*z^2 + 18*a^8*z^2 - 7*a^10*z^2 + 11*a^4*z^4 - 
   34*a^6*z^4 + 39*a^8*z^4 - 11*a^10*z^4 + 12*a^4*z^6 - 40*a^6*z^6 + 
   35*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 25*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 43393] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   3*a^4*z^2 - 6*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 
   7*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 43394] -> 
  -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (12*z^4)/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43395] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43396] -> 
  -a^(-14) + 2/a^10 - a^(-8) - a^(-6) + 2/a^4 - (3*z^2)/a^14 + (7*z^2)/a^12 - 
   z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 43397] -> -a^(-10) + a^(-8) + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43398] -> 3*a^4 - 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 43399] -> -1 + 2/a^4 - 4/a^2 + 8*a^2 - 
   4*a^4 - 7*z^2 + (5*z^2)/a^4 - (10*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 
   11*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43400] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 
   8*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 43401] -> -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43402] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 43403] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 43404] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43405] -> -6/a^8 + 11/a^6 - 5/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (21*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (12*z^4)/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^8 - (3*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43406] -> -3/a^10 + 4/a^8 - a^(-4) + a^(-2) - 
   (2*z^2)/a^12 + (12*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^2 - z^4/a^12 + 
   (5*z^4)/a^10 + (7*z^4)/a^8 - (11*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   (2*z^6)/a^10 - z^6/a^8 - (8*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 43407] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 11*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - z^4/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43408] -> 
  -1 - 2/a^4 + 3/a^2 + 3*a^2 - 2*a^4 - z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + z^4/a^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43409] -> -2/a^4 + 3/a^2 + a^2 - a^4 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43410] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43411] -> 2*a^2 - a^4 - 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43412] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 + z^2/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + z^4/a^12 - (10*z^4)/a^10 + (9*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43413] -> 2 - a^(-10) + 3/a^8 - 4/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (12*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43414] -> 
  1 + 2/a^6 - 2/a^4 - a^(-2) + a^2 - z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 43415] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 11*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43416] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 - 8*a^4*z^2 + 4*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 13*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 43417] -> a^(-12) - 3/a^10 + 3/a^6 + (2*z^2)/a^12 - 
   (11*z^2)/a^10 + (9*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (15*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43418] -> 
  1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (11*z^2)/a^8 - (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (12*z^4)/a^8 - (14*z^4)/a^6 - (16*z^4)/a^4 + z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43419] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (8*z^2)/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (14*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43420] -> -a^(-8) + a^(-6) + a^(-2) - z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 + a^2*z^2 - z^4/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 43421] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43422] -> a^(-2) - a^4 + a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43423] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (9*z^2)/a^14 + (6*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (4*z^4)/a^14 + (12*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 43424] -> a^(-16) - 2/a^14 - 3/a^12 + 
   4/a^10 + a^(-8) + (2*z^2)/a^16 - (14*z^2)/a^14 + (4*z^2)/a^12 + 
   (17*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (14*z^4)/a^14 + (21*z^4)/a^12 + 
   (26*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (19*z^6)/a^12 + 
   (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 43425] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 
   2*a^6 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + 9*z^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 43426] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 2*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43427] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43428] -> 
  1 + 2/a^4 - 4/a^2 + 4*a^2 - 2*a^4 + z^2 + (4*z^2)/a^4 - (11*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43429] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 11*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43430] -> -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 3*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + 
   z^4/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43431] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43432] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   5*z^2 - z^2/a^6 + (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43433] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 43434] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 43435] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^14 + (9*z^2)/a^12 - (10*z^2)/a^10 + 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (22*z^4)/a^12 - (23*z^4)/a^10 - 
   z^4/a^8 + (12*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 43436] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43437] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (8*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43438] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43439] -> 
  -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43440] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43441] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 10*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43442] -> -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (13*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43443] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 
   11*a^4*z^2 - 28*a^6*z^2 + 39*a^8*z^2 - 14*a^10*z^2 + 19*a^4*z^4 - 
   59*a^6*z^4 + 64*a^8*z^4 - 16*a^10*z^4 + 17*a^4*z^6 - 59*a^6*z^6 + 
   47*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 43444] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 3*a^2*z^2 - 
   a^4*z^2 - 6*a^6*z^2 + 18*a^8*z^2 - 7*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   9*a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 43445] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   11*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 43446] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 + 4*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 43447] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43448] -> -3/a^8 + 4/a^6 - z^2/a^14 + 
   z^2/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43449] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   11*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43450] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 8*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43451] -> -2/a^10 + a^(-8) + 3/a^6 - 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 + z^2/a^8 + (14*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (15*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43452] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43453] -> 
  -a^(-14) + a^(-12) - a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43454] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*z^2 - 2*a^2*z^2 + a^4*z^2 + a^6*z^2 + 
   7*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 43455] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 7*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43456] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - z^2/a^10 - 
   z^2/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43457] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - 
   (6*z^4)/a^10 - (2*z^4)/a^8 + (21*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - 
   (6*z^6)/a^10 + (2*z^6)/a^8 + (13*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43458] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - 
   2*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 43459] -> 
  2*a^4 - a^6 + a^8 - a^10 + z^2 - a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 43460] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 - z^2 + z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 15*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 43461] -> a^(-6) - a^(-4) + a^2 - z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 + z^6/a^8 + (4*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 43462] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (18*z^4)/a^8 + (16*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (13*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 43463] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43464] -> -3/a^8 + 4/a^6 - z^2/a^14 + z^2/a^12 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 43465] -> 
  1 - 2/a^10 + 2/a^8 + a^(-6) - a^(-2) + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43466] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) + (3*z^2)/a^16 - (19*z^2)/a^14 + (12*z^2)/a^12 + (14*z^2)/a^10 + 
   (4*z^2)/a^8 - (20*z^4)/a^14 + (31*z^4)/a^12 + (23*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (24*z^6)/a^12 + (16*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 43467] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43468] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (10*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43469] -> 1 - 2/a^10 + 2/a^8 + 2/a^6 - 2/a^4 + 3*z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43470] -> 
  1 - 2/a^10 + 2/a^8 + 2/a^6 - 2/a^4 + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43471] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + z^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 43472] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 43473] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^2)/a^6 - (13*z^2)/a^4 + (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (13*z^4)/a^8 - (15*z^4)/a^6 - (18*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - 
   (12*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43474] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 8*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43475] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 + (2*z^4)/a^4 - z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43476] -> -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - z^4/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43477] -> -2 - 2/a^8 + 3/a^6 - 3/a^4 + 5/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43478] -> 2 - 2/a^8 + 3/a^6 - a^(-4) - a^2 + 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43479] -> 2 - 2*a^2 - 2*a^4 + 6*a^6 - 3*a^8 + 
   (2*z^2)/a^2 - a^2*z^2 - 11*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43480] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 2*z^2 + z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 43481] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43482] -> -a^(-14) + a^(-12) + a^(-10) - 
   3/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - z^2/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (6*z^4)/a^10 - (14*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 43483] -> -2/a^10 + a^(-8) + 4/a^6 - 
   4/a^4 + 2/a^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - (5*z^4)/a^10 + (11*z^4)/a^8 + (5*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 43484] -> 1 - 2/a^10 + 2/a^8 + a^(-6) - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43485] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43486] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 - (8*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (2*z^4)/a^8 - (13*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 43487] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 + 
   z^4/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43488] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43489] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - z^4/a^10 + (2*z^4)/a^8 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43490] -> -a^(-14) + a^(-12) + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43491] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43492] -> 
  2*a^4 - a^8 + 2*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 
   5*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 43493] -> 
  2 - 2/a^8 + 2/a^6 + a^(-4) - a^(-2) - a^2 + 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + z^4/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43494] -> 
  -2 - 3/a^4 + 6/a^2 - 10*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (22*z^2)/a^2 + 
   a^2*z^2 - 12*z^4 - (9*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43495] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43496] -> 3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   4*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43497] -> 2 - 2*a^2 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 43498] -> -a^(-8) + 2/a^4 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43499] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + 
   (2*z^2)/a^12 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43500] -> 
  1 - 2/a^10 + 2/a^8 + 2/a^4 - 2/a^2 + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43501] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 
   a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 43502] -> 
  2 - 4*a^2 + 2*a^4 + 4*a^6 - 3*a^8 + 6*z^2 - 14*a^2*z^2 + 3*a^4*z^2 + 
   16*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 19*a^2*z^4 - 2*a^4*z^4 + 20*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 43503] -> 2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 43504] -> 1 - a^(-10) + a^(-8) - a^(-6) + 3/a^4 - 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43505] -> 
  -a^(-14) + a^(-12) - a^(-10) + 2/a^8 - a^(-6) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (4*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43506] -> 
  -2 - 3/a^4 + 6/a^2 - 10*z^2 - (2*z^2)/a^6 - (4*z^2)/a^4 + (18*z^2)/a^2 + 
   a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (20*z^4)/a^2 + 2*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43507] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 14*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43508] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43509] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 43510] -> -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 + 
   z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (6*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43511] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + z^2 - 3*a^2*z^2 + 8*a^4*z^2 - 7*a^6*z^2 + 
   6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 43512] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + z^2/a^2 - 6*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 43513] -> 2 + 2/a^4 - 4/a^2 + 3*a^4 - 
   2*a^6 + 3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 + z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 43514] -> 
  -3 + 11*a^2 - 12*a^4 + 7*a^6 - 2*a^8 - 12*z^2 + (2*z^2)/a^2 + 29*a^2*z^2 - 
   26*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 18*z^4 + (4*z^4)/a^2 + 31*a^2*z^4 - 
   21*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 43515] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + z^2/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 43516] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43517] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 43518] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   22*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 43519] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   12*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43520] -> 
  -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   22*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 22*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   26*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 43521] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43522] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 17*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 43523] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 19*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43524] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43525] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 + z^2/a^2 - 
   8*a^2*z^2 + 4*a^4*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 - 11*a^2*z^4 + 
   5*a^4*z^4 - 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 9*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 43526] -> a^(-12) - 2/a^10 - 6/a^8 + 12/a^6 - 4/a^4 + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (3*z^2)/a^8 + (30*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^4)/a^12 - (23*z^4)/a^10 + (25*z^4)/a^8 + (30*z^4)/a^6 - 
   (13*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (27*z^6)/a^8 + (17*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 43527] -> 
  -a^(-10) - a^(-6) + 5/a^4 - 2/a^2 + z^2/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (9*z^4)/a^8 + (9*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (7*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43528] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - z^4/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 
   3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 43529] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43530] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - (3*z^2)/a^10 + z^2/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (5*z^4)/a^10 + (2*z^4)/a^8 + 
   (8*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43531] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (9*z^4)/a^8 + (20*z^4)/a^6 - (21*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 43532] -> -4 + a^(-8) - 8/a^4 + 12/a^2 - 8*z^2 + 
   (6*z^2)/a^8 - (8*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + 
   (9*z^4)/a^8 - (18*z^4)/a^6 - (13*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43533] -> 2 - a^(-2) + a^2 - a^4 + 9*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 15*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 43534] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 9*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43535] -> 
  -2 - 4/a^6 + 5/a^4 + 2/a^2 - 9*z^2 + (4*z^2)/a^8 - (22*z^2)/a^6 + 
   (27*z^2)/a^4 + (7*z^2)/a^2 - 12*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (46*z^4)/a^4 + (13*z^4)/a^2 - 6*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (37*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 43536] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (6*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (8*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 43537] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - z^2/a^6 + (13*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (19*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43538] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (8*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 43539] -> 5 - 2/a^2 - 2*a^2 + 19*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (5*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 43540] -> 
  3 - a^(-2) - a^2 + 6*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 43541] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (14*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 43542] -> -1 - 2/a^4 + 4/a^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 43543] -> 
  6 - a^(-2) - 6*a^2 + a^4 + a^6 + 19*z^2 - (6*z^2)/a^2 - 17*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 + 23*z^4 - (8*z^4)/a^2 - 12*a^2*z^4 - 11*a^4*z^4 + 
   4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 43544] -> 4 - 5*a^2 + a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43545] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 43546] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 6*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 43547] -> -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + 
   (12*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43548] -> 3*a^4 - 2*a^6 - z^2/a^2 + 4*a^2*z^2 + 
   2*z^4 - z^4/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 43549] -> a^2 - 3*a^4 + 6*a^6 - 2*a^8 - a^10 + 
   4*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 
   14*a^4*z^4 + 5*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 43550] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 11*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 43551] -> 
  2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - 3*z^2 - (5*z^2)/a^6 + (15*z^2)/a^4 - 
   (13*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (7*z^4)/a^6 + (19*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (13*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 43552] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43553] -> 2 - a^(-4) + 2*a^2 - 2*a^4 - z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + 
   z^4/a^6 - (10*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43554] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 43555] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43556] -> -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (4*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43557] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 8*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 43558] -> 4*a^4 - 4*a^6 + a^8 + z^2 - z^2/a^2 + 
   a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 43559] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 11*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   13*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 43560] -> a^4 + 2*a^6 - 2*a^8 - a^4*z^2 + 11*a^6*z^2 - 
   5*a^8*z^2 + 4*z^4 - 4*a^2*z^4 - 7*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 8*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 43561] -> a^(-16) - 5/a^14 + 3/a^12 + a^(-10) + 
   a^(-8) + z^2/a^16 - (17*z^2)/a^14 + (17*z^2)/a^12 + (10*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (12*z^4)/a^14 + (29*z^4)/a^12 + 
   (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (19*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 43562] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) - (8*z^2)/a^14 + (4*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (17*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 43563] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + (8*z^2)/a^4 - (12*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + (10*z^4)/a^4 - (21*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 11*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43564] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 4*z^2 - 
   (4*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (6*z^4)/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 43565] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 - (5*z^2)/a^10 + (19*z^2)/a^8 - (21*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - (35*z^4)/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 43566] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43567] -> a^2 - 3*a^4 + 5*a^6 - 2*a^10 + 
   5*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 + 8*a^2*z^4 - 
   20*a^4*z^4 + 10*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 43568] -> a^2 - 3*a^4 + 6*a^6 - 2*a^8 - a^10 + z^2 + 
   a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 8*a^4*z^4 + 7*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 43569] -> 2 + a^(-2) - 4*a^2 + a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 12*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 8*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43570] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43571] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 43572] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   5*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 
   5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43573] -> 5 - a^(-2) - 4*a^2 + a^6 + 13*z^2 - 
   (4*z^2)/a^2 - 9*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 15*z^4 - (6*z^4)/a^2 - 
   4*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 43574] -> 3 - 3*a^2 + a^6 + 4*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43575] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 + 4*a^2*z^2 - 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 43576] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - z^2/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (21*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43577] -> 
  7 - 2/a^4 - 4*a^2 + 17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   9*a^2*z^2 + 20*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   8*a^2*z^4 + 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43578] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 11*z^2 - 
   (4*z^2)/a^6 - z^2/a^4 + (23*z^2)/a^2 - 11*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (4*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 + (7*z^6)/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 43579] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 
   9*z^2 + z^2/a^2 + 10*a^2*z^2 + 12*a^4*z^2 - 8*a^6*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 + 18*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43580] -> 
  -4 + 10*a^2 - 5*a^4 - 14*z^2 + z^2/a^2 + 27*a^2*z^2 - 6*a^4*z^2 - 
   3*a^6*z^2 - 15*z^4 + (2*z^4)/a^2 + 28*a^2*z^4 + 5*a^4*z^4 - 6*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 15*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43581] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + (2*z^2)/a^16 - (15*z^2)/a^14 + (8*z^2)/a^12 + (10*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^16 - (12*z^4)/a^14 + (20*z^4)/a^12 + (19*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (16*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 43582] -> a^(-16) - 3/a^14 + a^(-12) + a^(-8) + 
   a^(-6) - (7*z^2)/a^14 + (6*z^2)/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (9*z^4)/a^12 + (8*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 43583] -> 
  -10 - 2/a^6 - a^(-4) + 11/a^2 + 3*a^2 - 26*z^2 - (5*z^2)/a^6 + 
   (7*z^2)/a^4 + (19*z^2)/a^2 + 9*a^2*z^2 - 28*z^4 - (4*z^4)/a^6 + 
   (14*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 43584] -> 
  -1 - a^(-8) - a^(-6) + 5/a^4 - 2/a^2 + a^2 - 3*z^2 - (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 43585] -> 
  2*a^2 - a^4 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 43586] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 + 
   (4*z^2)/a^8 - (14*z^2)/a^6 + (17*z^2)/a^4 - (4*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (31*z^4)/a^4 - (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43587] -> 1 - a^(-8) + 2/a^6 - a^(-4) + (2*z^2)/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 43588] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 20*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43589] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 4*a^2 - 
   16*z^2 - (6*z^2)/a^6 + (13*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - 
   (7*z^4)/a^6 + (17*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43590] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 5*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43591] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43592] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43593] -> -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 25*a^4*z^2 - 11*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 30*a^4*z^4 - 11*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43594] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 25*a^4*z^2 - 
   11*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 - a^2*z^4 + 30*a^4*z^4 - 11*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43595] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43596] -> 
  7 - a^(-2) - 8*a^2 + 2*a^4 + a^6 + 18*z^2 - (6*z^2)/a^2 - 15*a^2*z^2 - 
   6*a^4*z^2 + 5*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 8*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 43597] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 2*z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 43598] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + (3*z^2)/a^6 + 
   z^2/a^4 - (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43599] -> 3 - a^(-2) - 2*a^4 + a^6 + 8*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (2*z^4)/a^4 + 
   2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43600] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43601] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 - (7*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 43602] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 43603] -> -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   10*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43604] -> 
  3 + a^(-4) - a^(-2) - 4*a^2 + a^4 + a^6 + 2*z^2 - z^2/a^6 - 6*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 43605] -> 4 - a^(-4) - 2*a^2 + 12*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 15*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 43606] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 12*z^2 - (4*z^2)/a^2 - 7*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 + 14*z^4 - (5*z^4)/a^2 - 4*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 43607] -> 5 - a^(-2) - 4*a^2 + a^6 + 6*z^2 - z^2/a^4 - 
   6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43608] -> 
  2 - 2*a^4 + a^6 - a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 43609] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 7*z^2 + (5*z^2)/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43610] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 7*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (14*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43611] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + 
   z^2/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (16*z^4)/a^6 + (21*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43612] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 2*z^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43613] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 8*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 13*a^4*z^2 - 
   7*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43614] -> 
  -2 + 5*a^2 - a^4 - a^6 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 
   2*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 10*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 43615] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   4*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 
   12*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 43616] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 
   z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 43617] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 6*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43618] -> 6 - a^(-2) - 6*a^2 + a^4 + a^6 + 14*z^2 - 
   (5*z^2)/a^2 - 10*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 43619] -> -a^(-6) + a^(-4) + a^(-2) - 
   8*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43620] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (7*z^4)/a^4 - (15*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43621] -> 1 - z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 3*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43622] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 
   17*z^4 + z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 43623] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 43624] -> 1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43625] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 11*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 43626] -> 
  5*a^2 - 6*a^4 + 2*a^6 - a^8 + a^10 - 4*z^2 + 15*a^2*z^2 - 22*a^4*z^2 + 
   14*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 18*a^2*z^4 - 28*a^4*z^4 + 
   22*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 17*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 43627] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + z^2 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 12*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 43628] -> -1 + a^(-2) + a^4 + a^6 - a^8 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 - 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 43629] -> 
  6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 13*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43630] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43631] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 10*a^2*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43632] -> 
  2*a^2 - a^4 + 2*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 43633] -> a^(-2) + a^2 - 2*a^4 + a^6 - a^8 + a^10 - 
   2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + 3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 43634] -> -1 + a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43635] -> -3 - 2/a^6 + 6/a^2 - 9*z^2 + (2*z^2)/a^8 - 
   (12*z^2)/a^6 + (11*z^2)/a^4 + (14*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - 
   (22*z^4)/a^6 + (29*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (14*z^6)/a^6 + (28*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43636] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 43637] -> -a^(-8) + 2/a^4 + z^2/a^12 - 
   (5*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - 
   (14*z^4)/a^10 + (18*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (19*z^6)/a^8 + z^6/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43638] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2/a^12 - (5*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (9*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43639] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43640] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 2*z^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43641] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 3*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 43642] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43643] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43644] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 + 
   (3*z^2)/a^6 - (13*z^2)/a^4 + (21*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (17*z^4)/a^4 + (26*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43645] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43646] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + 
   z^4/a^4 - z^4/a^2 + 12*a^2*z^4 - 6*a^4*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 43647] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 43648] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + 17*a^2*z^2 - 17*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 24*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43649] -> 
  -1 - a^(-6) + 4/a^4 - 2/a^2 - a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43650] -> a^(-12) - 4/a^10 + 3/a^8 - 2/a^6 + 5/a^4 - 
   2/a^2 + (2*z^2)/a^12 - (11*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 + 
   (10*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + (13*z^4)/a^8 + 
   (8*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + 
   (7*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43651] -> -1 - a^(-10) + a^(-6) + 2/a^2 - 2*z^2 + 
   z^2/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 43652] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 
   3/a^2 - 5*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43653] -> 1 - a^(-6) + 2/a^2 - a^2 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 43654] -> 
  -a^(-8) + 2/a^4 - z^2/a^10 + z^2/a^8 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43655] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 43656] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43657] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 4*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 6*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 43658] -> -a^(-6) + 5/a^4 - 4/a^2 - a^2 + 2*a^4 - 
   z^2 - (5*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   2*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (5*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 43659] -> -1 + 2/a^4 - a^(-2) + a^6 - 
   2*z^2 - (2*z^2)/a^6 + z^2/a^4 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 43660] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43661] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43662] -> a^(-16) - 4/a^14 + 3/a^12 - a^(-8) + 2/a^6 - 
   z^2/a^16 - (5*z^2)/a^14 + (7*z^2)/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^16 + (8*z^4)/a^12 + (7*z^4)/a^10 + (5*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 43663] -> -a^(-14) + a^(-10) + a^(-4) - 
   z^2/a^16 - z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^14 + (3*z^4)/a^12 + (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 43664] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 13*z^4 + z^4/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 43665] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43666] -> -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + (8*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 43667] -> 
  1 + z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + z^2/a^2 - a^2*z^2 - (3*z^4)/a^8 - 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 43668] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 + a^6 - 3*z^2 - z^2/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 43669] -> 3/a^4 - 3/a^2 - a^2 + 2*a^4 - 3*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 43670] -> 
  -1 + a^(-6) + a^6 - 2*z^2 - z^2/a^8 - z^2/a^6 - 3*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4, 
 Knot[15, Alternating, 43671] -> 1 + 2*z^2 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43672] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + 
   3*a^4*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 
   3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 43673] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43674] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43675] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 + 10*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43676] -> 
  1 + 2/a^4 - 3/a^2 + 2*a^4 - a^6 + 3*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 43677] -> 
  2 + 2/a^8 - 4/a^6 + a^(-4) + a^(-2) - a^2 + 4*z^2 + (3*z^2)/a^8 - 
   (9*z^2)/a^6 + (4*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43678] -> -1 - a^(-6) + 4/a^4 - 2/a^2 - a^2 + 2*a^4 - 
   2*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 43679] -> a^(-12) - 3/a^10 + 2/a^8 + 
   a^(-2) - z^2/a^14 + (4*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43680] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (14*z^4)/a^8 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (12*z^6)/a^8 + 
   (5*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 43681] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   z^2/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43682] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43683] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43684] -> -2/a^10 + 4/a^6 - a^(-4) + (2*z^2)/a^12 - 
   (12*z^2)/a^10 + (11*z^2)/a^8 + (13*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (21*z^4)/a^10 + (28*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (14*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43685] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   z^2/a^12 - (5*z^2)/a^10 + z^2/a^8 + (13*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (5*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43686] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43687] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43688] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43689] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 
   3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 
   3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (9*z^4)/a^6 - (16*z^4)/a^4 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43690] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + z^4 + z^4/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43691] -> 
  7 - 3/a^2 - 3*a^2 + 27*z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 - (8*z^2)/a^2 - 
   12*a^2*z^2 + 34*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 - 13*a^2*z^4 + 
   21*z^6 + z^6/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 43692] -> 5 - 2/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 11*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43693] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (10*z^4)/a^8 + (18*z^4)/a^6 - (10*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 43694] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 43695] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 5*z^4 + z^4/a^8 - (6*z^4)/a^6 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43696] -> -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 43697] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + z^2 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 43698] -> 
  2*a^6 + a^8 - 2*a^10 + 10*a^6*z^2 + a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 
   3*a^4*z^4 + 12*a^6*z^4 - 11*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   9*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 43699] -> 3*a^6 - a^8 - a^10 + 3*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 43700] -> a^2 + 3*a^4 - 4*a^6 + a^10 + 9*a^4*z^2 - 
   9*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 - 6*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 - 
   17*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 12*a^4*z^6 + 5*a^6*z^6 - 
   11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[15, Alternating, 43701] -> 
  2*a^2 + a^4 - 3*a^6 + a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 - 
   3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 4*a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + 
   a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 43702] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43703] -> 1 - z^2/a^8 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43704] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 4*z^4 - a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + z^6 - z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43705] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - z^4/a^6 - (7*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43706] -> -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 5*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 43707] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - z^2 + z^2/a^12 - z^2/a^10 - 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4 - (3*z^4)/a^10 - z^4/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 43708] -> -a^(-10) - a^(-8) + 3/a^6 - z^2 + 
   z^2/a^12 - (4*z^2)/a^10 + z^2/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4 - 
   (4*z^4)/a^10 + (3*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 43709] -> 
  4*a^4 - 4*a^6 + a^8 + z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   8*a^6*z^2 + 5*a^8*z^2 + 4*z^4 - z^4/a^2 + 7*a^2*z^4 - 9*a^4*z^4 - 
   8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 43710] -> 
  4*a^4 - 4*a^6 + a^8 + z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   8*a^6*z^2 + 5*a^8*z^2 + 4*z^4 - z^4/a^2 + 7*a^2*z^4 - 9*a^4*z^4 - 
   8*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 43711] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^4 + 3*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 - z^6 - 3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 43712] -> -1 + 4*a^2 - a^4 - 2*a^6 + a^8 + 3*z^2 - 
   z^2/a^4 + 3*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + a^8*z^4 - z^6 - 
   3*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 43713] -> 
  -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43714] -> a^6 + a^8 - a^14 + a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 43715] -> 
  1 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43716] -> 
  1 + 2/a^4 - 3/a^2 + 2*a^4 - a^6 - z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43717] -> 3*a^2 - a^4 - 2*a^6 + a^10 - z^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 4*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   4*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 43718] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 
   2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 43719] -> a^(-2) - a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 
   a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 43720] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (12*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 43721] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43722] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43723] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43724] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43725] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (15*z^2)/a^8 + (19*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (20*z^4)/a^8 + (20*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (13*z^6)/a^8 + (12*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 43726] -> a^(-12) - 3/a^10 + a^(-8) - a^(-6) + 5/a^4 - 
   2/a^2 + (2*z^2)/a^12 - (9*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (10*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (7*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43727] -> -1 - 2/a^8 + 2/a^6 + 2/a^2 - 2*z^2 + 
   z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 43728] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 
   4/a^2 - 5*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*z^4 + z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + 
   (12*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (8*z^6)/a^4 + 
   (4*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43729] -> 1 - 2/a^4 + 3/a^2 - a^2 + z^2 + z^2/a^10 - 
   (4*z^2)/a^6 + (7*z^2)/a^2 - 2*a^2*z^2 + z^4 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 43730] -> 
  -a^(-4) + 2/a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   11*z^4 + z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 43731] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 4*z^2 + 12*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   5*z^4 + z^4/a^4 - z^4/a^2 + 13*a^2*z^4 - 6*a^4*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 43732] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + 
   21*a^2*z^2 - 17*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 9*z^4 + z^4/a^2 + 
   26*a^2*z^4 - 20*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   16*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 43733] -> a^(-8) - 2/a^4 + a^(-2) + a^2 - 
   z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 43734] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - 
   (19*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 43735] -> -1 + a^(-2) + a^2 - 7*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43736] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43737] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   3*z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 43738] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - z^2 + z^2/a^12 - z^2/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^4 - (3*z^4)/a^10 - z^4/a^8 + 
   (6*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 43739] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 
   3*z^2 - z^2/a^10 - z^2/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43740] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43741] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43742] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43743] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 43744] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 43745] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 - 
   z^2/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (11*z^4)/a^6 - (8*z^4)/a^4 - 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 43746] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + 3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 43747] -> 
  -1 + a^2 + 4*a^4 - 3*a^6 - 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 + 
   9*a^4*z^2 - 6*a^6*z^2 + z^4/a^4 - (6*z^4)/a^2 + 12*a^2*z^4 + 8*a^4*z^4 - 
   4*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43748] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 43749] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 9*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (9*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 7*z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 43750] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43751] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43752] -> -2 + 5*a^2 - a^4 - a^6 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 11*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + 9*a^2*z^4 + a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 43753] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^4 - 5*a^4*z^2 + 
   2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43754] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 5*z^2 + 14*a^2*z^2 - 13*a^4*z^2 + 
   11*a^6*z^2 - 4*a^8*z^2 - z^4 + 11*a^2*z^4 - 15*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 + 3*z^6 - a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 43755] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 
   2*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6/a^2 - 4*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 43756] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + 
   3*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 4*a^2*z^4 - 
   9*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 43757] -> 
  -2 + 6*a^2 - 3*a^4 - 2*z^2 - (3*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 
   9*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 43758] -> 
  -1 + 4*a^2 - 2*a^4 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 8*z^4 - z^4/a^4 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 43759] -> -a^(-14) + 3/a^12 - 5/a^10 + 
   3/a^8 + a^(-4) - (3*z^2)/a^14 + (10*z^2)/a^12 - (11*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43760] -> -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (4*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43761] -> -a^2 + 5*a^4 - 3*a^6 - 12*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + 17*a^4*z^2 - 9*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 + 23*a^4*z^4 - 10*a^6*z^4 - 10*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43762] -> 
  -a^(-12) + a^(-8) + a^(-4) - (2*z^2)/a^14 + z^2/a^12 + (5*z^2)/a^10 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (5*z^4)/a^10 - 
   (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43763] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^10 + (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43764] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 10*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 + z^4/a^4 - (6*z^4)/a^2 + 13*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43765] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 - 6*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 9*z^4 + z^4/a^2 + 
   13*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 8*a^2*z^6 - 
   3*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43766] -> 
  -2 - a^(-6) + 3/a^4 - a^2 + 2*a^4 - 6*z^2 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (10*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43767] -> -3 + 3/a^2 + a^6 - 5*z^2 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   z^4/a^6 + z^4/a^4 + (9*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 43768] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (5*z^4)/a^6 - (16*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43769] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + z^2/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43770] -> 
  2 + 2/a^6 - 3/a^4 + 4*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43771] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 2*z^2 - a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 43772] -> 
  4*a^6 - 3*a^8 + 2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 7*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 43773] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + (6*z^2)/a^2 + 18*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - z^4/a^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43774] -> 3*a^2 - a^4 - 2*a^6 + a^10 - 2*z^2 + 
   5*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   4*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 6*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 43775] -> 2 + a^(-4) - 2/a^2 + 4*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43776] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 43777] -> 1 - a^2 + a^4 + a^6 - a^8 + 
   z^2 - z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   11*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 43778] -> -a^(-4) + 2/a^2 - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43779] -> 1 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43780] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (2*z^4)/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 - z^6/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43781] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^4 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43782] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 - 2*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 43783] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   z^4/a^10 + (4*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43784] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^4 - (2*z^2)/a^2 - z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (9*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 43785] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2 + z^2/a^10 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (5*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43786] -> a^6 + a^8 - a^14 + a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   a^4*z^4 - a^6*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 43787] -> 
  3*a^6 - 3*a^10 + a^12 + 2*a^4*z^2 + 6*a^6*z^2 - 3*a^10*z^2 + a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 43788] -> 
  2*a^2 - a^4 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 
   2*a^10*z^2 - z^4 + 3*a^2*z^4 - 12*a^4*z^4 + 11*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 43789] -> 2*a^2 + 2*a^4 - 5*a^6 + a^8 + a^10 - z^2 + 
   3*a^2*z^2 + 3*a^4*z^2 - 9*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   2*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 43790] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43791] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43792] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (8*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - (5*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 43793] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43794] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (20*z^2)/a^10 + (10*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + 
   (23*z^4)/a^12 - (31*z^4)/a^10 + (8*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + 
   (15*z^6)/a^12 - (27*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - 
   (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 43795] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - 
   (2*z^2)/a^14 + (8*z^2)/a^12 - (14*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (12*z^4)/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 43796] -> a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (11*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (19*z^4)/a^8 - (25*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (13*z^6)/a^8 - (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43797] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43798] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 - a^4*z^4 + 7*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 43799] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 9*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 
   18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43800] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43801] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (7*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43802] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 43803] -> 
  -7 - 2/a^4 + 7/a^2 + 3*a^2 - 18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (17*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (18*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43804] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 43805] -> 
  2/a^16 - 6/a^14 + 5/a^12 - 4/a^10 + 4/a^8 + z^2/a^16 - (13*z^2)/a^14 + 
   (13*z^2)/a^12 - (2*z^2)/a^10 + (12*z^2)/a^8 - (2*z^4)/a^16 - 
   (7*z^4)/a^14 + (19*z^4)/a^12 + (8*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (13*z^6)/a^12 + (8*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 43806] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-10) - a^(-8) + 2/a^6 - z^2/a^16 - 
   (4*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   z^4/a^16 + (7*z^4)/a^12 + (7*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 43807] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (18*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (17*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43808] -> -2/a^12 + 2/a^10 + a^(-4) - z^2/a^16 - 
   z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^14 + (3*z^4)/a^12 + (4*z^4)/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 43809] -> 
  -1 - 2/a^4 + 4/a^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 43810] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 43811] -> 2*a^4 - 3*a^6 + 7*a^8 - 7*a^10 + 2*a^12 - 
   2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 15*a^8*z^2 - 14*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 43812] -> a^2 - a^4 + 2*a^6 + a^8 - 3*a^10 + a^12 - 
   z^2 + 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 5*a^10*z^2 + 
   a^12*z^2 - z^4 + a^2*z^4 + a^4*z^4 + 5*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 43813] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43814] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 43815] -> -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 43816] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 + a^6 - 2*z^2 - z^2/a^8 - z^2/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 43817] -> -3 - 3/a^4 + 6/a^2 + 2*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (25*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43818] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 - z^2/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 43819] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 + 
   3*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   4*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 43820] -> -3/a^8 + 4/a^6 - z^2/a^10 - 
   (4*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + 
   (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43821] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 43822] -> -3*a^2 + 9*a^4 - 5*a^6 - 12*z^2 + 
   (4*z^2)/a^2 - a^2*z^2 + 29*a^4*z^2 - 14*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 
   6*a^2*z^4 + 36*a^4*z^4 - 14*a^6*z^4 - 10*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43823] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 12*z^2 + (4*z^2)/a^2 - a^2*z^2 + 29*a^4*z^2 - 
   14*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 + 36*a^4*z^4 - 14*a^6*z^4 - 
   10*z^6 + z^6/a^2 + 9*a^2*z^6 + 22*a^4*z^6 - 6*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43824] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 7*a^2*z^2 - 
   15*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 
   23*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 43825] -> a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 
   4*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43826] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^6 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43827] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 43828] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - z^2 + 
   z^2/a^12 - (8*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - z^4 - (4*z^4)/a^10 + (7*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 43829] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 3*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 + 4*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 43830] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   3*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 43831] -> a^2 + a^4 - a^6 + z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + 4*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 43832] -> 
  1 + a^2 - 2*a^4 + 2*a^8 - a^10 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   4*a^4*z^4 - 3*a^6*z^4 + 2*z^6 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 43833] -> -1 - a^(-6) + 4/a^4 - 2/a^2 - a^2 + 2*a^4 - 
   5*z^2 - (2*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^8 + z^4/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 43834] -> -2 + a^(-4) + a^(-2) + a^6 - 3*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + z^4/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4, 
 Knot[15, Alternating, 43835] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 + z^2/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - (2*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 43836] -> a^4 + a^6 - a^8 + a^10 - a^12 + z^2 + 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 3*a^10*z^2 - 2*z^4 - 3*a^2*z^4 - 
   a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 43837] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 + a^12*z^2 - z^4 + a^4*z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 43838] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 43839] -> 
  -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 + (3*z^2)/a^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 43840] -> 1 + a^2 - 2*a^6 + a^10 + z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 43841] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + a^2*z^2 - 
   a^4*z^2 + z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 43842] -> 
  2 - a^(-2) + a^2 - a^4 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 9*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43843] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^10 + 
   (7*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (9*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43844] -> 3/a^16 - 10/a^14 + 7/a^12 + a^(-8) + 
   (2*z^2)/a^16 - (24*z^2)/a^14 + (25*z^2)/a^12 + (7*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (14*z^4)/a^14 + (34*z^4)/a^12 + 
   (19*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (20*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 43845] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) - 
   (10*z^2)/a^14 + (5*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (10*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 43846] -> 2 + a^(-4) - 2/a^2 + 8*z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - z^2/a^4 - (13*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (8*z^4)/a^4 - (21*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 43847] -> 3 + 2/a^4 - 4/a^2 + 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - z^4/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43848] -> 11 - 5/a^2 - 5*a^2 + 33*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 - (9*z^2)/a^2 - 15*a^2*z^2 + 38*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + z^4/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 43849] -> 
  6 - 3/a^2 - a^2 - a^4 + 12*z^2 + z^2/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 13*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43850] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   3*a^4*z^2 - 5*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43851] -> a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 
   3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43852] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (11*z^4)/a^10 + (11*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43853] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^10 - (3*z^2)/a^8 - (7*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + 
   (4*z^4)/a^10 - (13*z^4)/a^8 - (2*z^4)/a^6 + (15*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 43854] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   (2*z^2)/a^10 - (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 2*z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (6*z^4)/a^4 - z^6 - (2*z^6)/a^8 + 
   z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43855] -> -2 + a^(-4) + a^(-2) + a^2 - 2*a^4 + 2*a^6 - 
   6*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   a^6*z^2 - 3*z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 43856] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 + 
   2*a^4*z^2 + 4*a^6*z^2 + 8*a^8*z^2 - 12*a^10*z^2 + 4*a^12*z^2 + 3*a^6*z^4 + 
   7*a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 4*a^6*z^6 + 5*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 43857] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 + a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   4*a^10*z^2 + 2*a^12*z^2 - a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 43858] -> a^2 + 5*a^4 - 8*a^6 + 2*a^8 + 
   a^10 + 12*a^4*z^2 - 17*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - 6*a^2*z^4 + 
   13*a^4*z^4 - 10*a^6*z^4 - 16*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   12*a^4*z^6 + 4*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 43859] -> 3*a^2 - 4*a^6 + a^8 + a^10 + 3*a^2*z^2 - 
   8*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 43860] -> 
  5*a^2 - 5*a^4 + a^10 - 2*z^2 + 8*a^2*z^2 - 7*a^4*z^2 - 5*a^6*z^2 - 
   a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 5*a^2*z^4 - 6*a^6*z^4 - 4*a^8*z^4 + 
   a^10*z^4 - z^6 + 3*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 43861] -> -2 + 5*a^2 - a^4 - a^6 - 7*z^2 + 
   z^2/a^2 + 9*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43862] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 5*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 8*z^4 + z^4/a^4 + 12*a^2*z^4 - 12*a^4*z^4 + 
   4*a^6*z^4 - 3*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 6*a^4*z^6 + z^8 + 3*a^2*z^8, 
 Knot[15, Alternating, 43863] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43864] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 43865] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 6*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43866] -> 1 + a^2 - 2*a^4 + a^6 + z^2 - z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - 
   a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43867] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43868] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   3*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43869] -> 
  2 + 2/a^8 - 3/a^6 - a^(-4) + 2/a^2 - a^2 + 4*z^2 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43870] -> a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 + 
   3*z^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - 
   3*a^4*z^2 + 6*z^4 + (3*z^4)/a^6 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2, Knot[15, Alternating, 43871] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + z^4 - z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43872] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 + z^2/a^10 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (3*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43873] -> -a^(-4) + 2/a^2 - 8*z^2 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43874] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43875] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 43876] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 43877] -> 
  2 - 2*a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 10*a^2*z^2 + 
   6*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 18*a^2*z^4 + 9*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 43878] -> 3 - 4*a^2 + 2*a^4 - z^2/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 6*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43879] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43880] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 
   7*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 
   16*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 43881] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43882] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 5*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - a^4*z^4 + z^6 + (3*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 43883] -> 
  1 + a^(-2) - 2*a^2 + a^6 - 2*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 43884] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   5*z^2 + z^2/a^4 - z^2/a^2 + 7*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 43885] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 + z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (15*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (13*z^4)/a^4 - z^4/a^2 - 3*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (8*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43886] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 - z^4 + 
   z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - z^6 - 
   (2*z^6)/a^8 + (4*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43887] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 17*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 - (6*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 43888] -> 
  1 + z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 43889] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 - a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 
   4*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43890] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 + a^4*z^2 + 5*a^6*z^2 + 9*a^8*z^2 - 
   13*a^10*z^2 + 4*a^12*z^2 - a^4*z^4 + 5*a^6*z^4 + 9*a^8*z^4 - 14*a^10*z^4 + 
   4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 43891] -> 2 + a^(-2) - 4*a^2 + a^4 + a^6 + 8*z^2 - 
   (2*z^2)/a^2 - 11*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 43892] -> a^2 + 5*a^4 - 8*a^6 + 2*a^8 + 
   a^10 - 2*a^2*z^2 + 14*a^4*z^2 - 15*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - 
   7*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 17*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   13*a^4*z^6 + 5*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 43893] -> 4*a^2 - 3*a^4 - a^6 + a^10 - 2*z^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   4*a^2*z^4 + 2*a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 43894] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 + 6*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 
   3*a^2*z^4 - 14*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 
   10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 43895] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 43896] -> 
  1 + 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43897] -> a^(-6) - a^(-2) + a^4 - 4*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43898] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + 
   a^(-4) - z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43899] -> 1 + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43900] -> 3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 - 
   4*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   23*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43901] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 43902] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 + z^2/a^4 - 
   z^2/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 18*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   11*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 43903] -> 1 + 2/a^4 - 3/a^2 + 2*a^4 - a^6 - z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 43904] -> 3 + 2/a^8 - 3/a^6 - a^2 + 5*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 43905] -> -a^(-6) + 3/a^4 - a^(-2) - 
   2*a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - 6*a^2*z^2 + 
   2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 43906] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 2*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 43907] -> 
  3*a^2 - 4*a^6 + a^8 + a^10 - 2*z^2 + 5*a^2*z^2 + 2*a^4*z^2 - 10*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + 6*a^4*z^4 - 7*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 43908] -> 
  1 + 2*a^2 - 2*a^4 - a^6 + a^10 + z^2 - z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - 
   4*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 43909] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^12 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + z^2/a^4 + z^4 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43910] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (3*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 43911] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^6 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43912] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (3*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 43913] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 - z^2/a^16 - (5*z^2)/a^14 + 
   (5*z^2)/a^12 + (7*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (6*z^4)/a^12 + (8*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 43914] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) + 2*z^2 + (4*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43915] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - z^4/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43916] -> 1 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 43917] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43918] -> 
  1 - a^(-6) + 3/a^4 - 3/a^2 + 2*a^2 - a^4 + 4*z^2 + (5*z^2)/a^4 - 
   (10*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (11*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43919] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   6*z^4 + (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + a^6*z^4 - 
   5*z^6 - (2*z^6)/a^2 - 4*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 43920] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 10*a^2*z^2 + 
   12*a^4*z^2 - 4*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + 
   10*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 43921] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + z^2/a^12 - (5*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + 
   (2*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43922] -> -2 + a^(-4) + a^(-2) + a^2 - a^4 + a^8 - 
   5*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 
   z^4 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[15, Alternating, 43923] -> 2 - a^4 - a^6 + a^10 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + a^2*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 43924] -> 2 + a^(-4) - 2/a^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   (4*z^4)/a^8 - (13*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43925] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43926] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 6*a^4*z^2 - 
   7*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*a^4*z^4 - 7*a^6*z^4 + 9*a^8*z^4 - 
   3*a^10*z^4 + 2*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 3*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 43927] -> 2 - 2*a^2 + a^4 + 4*z^2 - 11*a^2*z^2 + 
   5*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 5*z^4 - 14*a^2*z^4 + 3*a^4*z^4 + 
   11*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 43928] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 3*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43929] -> 
  3 - a^(-2) - a^2 + 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 
   4*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 43930] -> 
  -a^(-4) + 2/a^2 - 5*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43931] -> -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + 2*a^2*z^2 - 6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43932] -> -3/a^8 + 4/a^6 + z^2/a^12 - (7*z^2)/a^10 + 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + 
   (22*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (23*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43933] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 43934] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 43935] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43936] -> 2 + a^(-4) - 2/a^2 - z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - 3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43937] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^2 - 
   z^4/a^12 + (9*z^4)/a^10 - (2*z^4)/a^8 - (19*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - (13*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 43938] -> 1 + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + z^4 + (3*z^4)/a^10 - z^4/a^8 - 
   (7*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 43939] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - 
   z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43940] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 43941] -> a^(-4) - a^(-2) + a^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43942] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   (11*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   (5*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43943] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   7*z^2 + z^2/a^6 - (6*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (3*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43944] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 16*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 - 12*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - 
   z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 43945] -> -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 7*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + z^6/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 43946] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + (3*z^2)/a^12 - (10*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + (4*z^4)/a^12 - (20*z^4)/a^10 + (21*z^4)/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 43947] -> 
  -a^(-10) + 3/a^8 + 3/a^6 - 12/a^4 + 8/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (7*z^2)/a^6 - (28*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (9*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 43948] -> 4 + a^(-8) - 4/a^2 + 4*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (8*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43949] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 2*z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43950] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - z^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43951] -> 4 - 3/a^2 + 3*a^2 - 3*a^4 + 25*z^2 + 
   (4*z^2)/a^4 - (22*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 46*z^4 + 
   (4*z^4)/a^4 - (32*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 37*z^6 + z^6/a^4 - 
   (17*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 43952] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 + (4*z^2)/a^8 - (17*z^2)/a^6 + 
   (18*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (26*z^4)/a^6 + 
   (32*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 43953] -> 
  2 - a^(-4) + 2*a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 21*z^4 + z^4/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 43954] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   z^2/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 43955] -> -a^(-4) + 2/a^2 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 43956] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43957] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 22*z^2 - z^2/a^4 + (9*z^2)/a^2 + 21*a^2*z^2 - 
   7*a^4*z^2 + a^6*z^2 - 27*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 43958] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43959] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 2*z^2 + 
   (9*z^2)/a^6 - (21*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + 
   z^4/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 43960] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (16*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 43961] -> -a^(-12) + 4/a^10 - 7/a^8 + 
   4/a^6 + a^(-4) + z^2/a^12 + (3*z^2)/a^10 - (12*z^2)/a^8 + (10*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43962] -> 2 + a^(-6) - a^(-4) - a^(-2) + 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43963] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   3*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 
   z^4 - (5*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 43964] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - z^2 - 
   a^2*z^2 + 3*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 3*z^4 - 3*a^2*z^4 - 
   2*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 7*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 43965] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2 - z^2/a^2 - a^2*z^2 + 5*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 43966] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 + (2*z^2)/a^16 - (16*z^2)/a^14 + 
   (13*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (13*z^4)/a^14 + 
   (24*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 43967] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 2*z^2 + (7*z^2)/a^4 - (13*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + (9*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43968] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 43969] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + 
   13*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 43970] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   7*z^2 - z^2/a^4 - (2*z^2)/a^2 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - z^4/a^4 + 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43971] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (14*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (22*z^4)/a^8 - 
   (24*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (23*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43972] -> a^2 - 4*a^4 + 8*a^6 - 3*a^8 - a^10 + 
   5*a^2*z^2 - 15*a^4*z^2 + 21*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + 8*a^2*z^4 - 
   21*a^4*z^4 + 14*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 43973] -> 3*a^6 - a^8 - a^10 + z^2 - a^2*z^2 + 
   7*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 43974] -> 
  3/a^4 - 4/a^2 + 2*a^2 - 4*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 - z^4/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 43975] -> 
  -1 + 3*a^2 - a^6 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 43976] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 43977] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 - 
   (4*z^4)/a^6 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 43978] -> 2 - a^(-8) + a^(-6) - a^2 + 6*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 43979] -> 3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 - (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + z^6/a^4 - z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 43980] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (5*z^2)/a^10 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + 
   (7*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43981] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 + 
   8*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 43982] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 43983] -> 
  -5 + 3/a^2 + 3*a^2 - 17*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + 
   (21*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 43984] -> 4*a^2 - 5*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 
   13*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   17*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 43985] -> 4 - a^(-10) + 4/a^8 - 3/a^6 + 
   a^(-4) - 4/a^2 + 4*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - (8*z^2)/a^6 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - 
   (5*z^4)/a^6 + (3*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43986] -> -1 + a^(-8) - a^(-4) + 2*a^2 - 4*z^2 - 
   z^2/a^10 + z^2/a^8 - z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 43987] -> 
  -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + z^2/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (4*z^4)/a^10 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 43988] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (12*z^2)/a^6 + (12*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (22*z^4)/a^6 + (30*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 43989] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 43990] -> -a^(-4) + 2/a^2 - (3*z^2)/a^10 + 
   (12*z^2)/a^8 - (10*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + 
   (21*z^4)/a^8 - (26*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (13*z^6)/a^8 - (25*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 43991] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 6*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 43992] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (17*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (20*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 43993] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 13*z^4 + z^4/a^6 - (10*z^4)/a^4 + 
   (20*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 43994] -> -1 - a^(-8) + a^(-6) - a^(-4) + 
   3/a^2 - 3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 43995] -> 2*a^2 - a^4 - 2*z^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 
   a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 43996] -> 3*a^6 - a^8 - a^10 + 2*a^4*z^2 + 
   7*a^6*z^2 + a^8*z^2 - 7*a^10*z^2 + 4*a^12*z^2 - a^4*z^4 + 5*a^6*z^4 + 
   3*a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - 
   9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 43997] -> 
  2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 2*z^2 - 2*a^2*z^2 - 13*a^4*z^2 + 
   7*a^6*z^2 + 5*z^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 
   8*z^6 - (4*z^6)/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 43998] -> 
  1 - 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + 
   z^4/a^4 + z^4/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 43999] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 3*z^2 + z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - (4*z^4)/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44000] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 4*z^2 + 10*a^2*z^2 - 8*a^4*z^2 + 
   12*a^6*z^2 - 5*a^8*z^2 + 8*a^2*z^4 - 12*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 
   3*z^6 - 2*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 44001] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44002] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 
   12*a^6*z^2 - 5*a^8*z^2 + 3*z^4 - 9*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 44003] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44004] -> -2 + 6*a^2 - 3*a^4 + z^2 - (4*z^2)/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - (6*z^4)/a^2 + 18*a^2*z^4 - 
   15*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44005] -> -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 - 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - (7*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (7*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44006] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^14 - z^2/a^12 + (6*z^2)/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (6*z^4)/a^10 - (5*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44007] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - 
   4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44008] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 - 5*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   9*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 9*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 9*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 8*a^2*z^6 - 
   3*a^6*z^6 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44009] -> 
  4 - a^(-10) + 3/a^8 - a^(-6) - 4/a^2 + 4*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44010] -> -1 + 2/a^6 - 2/a^4 + 2*a^2 - 4*z^2 - 
   z^2/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (7*z^4)/a^6 + z^4/a^4 + z^6/a^8 + 
   (3*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 44011] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (10*z^4)/a^6 - (15*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44012] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + z^2/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (12*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44013] -> 
  -5 + 3/a^2 + 3*a^2 - 15*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   4*a^4*z^2 - 16*z^4 + z^4/a^4 + (5*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44014] -> -4 + 3/a^2 + a^2 + a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + 
   z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - z^6/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 44015] -> 2*a^6 - a^12 + 2*z^2 - a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   2*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 44016] -> 
  3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 2*a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 7*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 44017] -> 4*a^6 - 3*a^8 + a^2*z^2 + 2*a^4*z^2 + 
   6*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 3*a^6*z^4 - 
   4*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44018] -> -4 + 2/a^2 + 4*a^2 - a^4 - 16*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 44019] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - z^4 + 3*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44020] -> 2/a^2 - 2*a^2 - a^4 + 2*a^6 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44021] -> 2 - 2*a^2 + a^4 + 7*z^2 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 7*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 44022] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - z^2/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 + 
   7*a^2*z^4 - 12*z^6 - z^6/a^6 + (7*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44023] -> 2/a^16 - 7/a^14 + 5/a^12 - a^(-10) + 2/a^8 + 
   (2*z^2)/a^16 - (18*z^2)/a^14 + (16*z^2)/a^12 + (7*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^16 - (13*z^4)/a^14 + (25*z^4)/a^12 + (18*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44024] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - 9*a^2*z^2 + 6*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 44025] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 9*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 21*a^4*z^2 - 
   11*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 + 26*a^4*z^4 - 11*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 44026] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 44027] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 44028] -> 
  a^(-8) - 4/a^6 + 4/a^4 - z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 - 
   3*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + (3*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44029] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 8*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 44030] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 5*a^2*z^2 - 
   9*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 3*a^4*z^4 - 15*a^6*z^4 + 
   4*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 44031] -> 3 + a^(-2) - 5*a^2 + 2*a^6 + 5*z^2 - 
   9*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 + 6*z^4 - (4*z^4)/a^2 - a^2*z^4 - 
   19*a^4*z^4 + 5*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44032] -> -2 + 3/a^2 - a^2 - a^4 + 2*a^6 - 5*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44033] -> 2 - 2*a^2 + a^4 + 7*z^2 + z^2/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44034] -> -a^(-4) + 2/a^2 - 5*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44035] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44036] -> 2*a^2 - a^4 - 7*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44037] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 
   3/a^2 + 5*z^2 + z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 
   4*z^4 + z^4/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44038] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44039] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   16*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - (3*z^2)/a^2 + 9*a^2*z^2 - 25*z^4 - 
   (4*z^4)/a^6 + (21*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (11*z^6)/a^4 - (13*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44040] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 9*z^2 + (4*z^2)/a^8 - (13*z^2)/a^6 + 
   (7*z^2)/a^4 + (16*z^2)/a^2 - 12*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (13*z^4)/a^4 + (25*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (13*z^6)/a^4 + (19*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44041] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 44042] -> 
  -3 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44043] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   4*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 - z^4/a^6 + (9*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 44044] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^10 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 44045] -> 7 + a^(-6) - 5/a^2 - 2*a^2 + 2*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44046] -> 
  -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 - (2*z^2)/a^10 + (12*z^2)/a^8 - 
   (12*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (12*z^4)/a^8 - 
   (10*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 44047] -> 
  1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44048] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   7*z^2 + (2*z^2)/a^4 - z^2/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44049] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 + (3*z^2)/a^6 - 
   (11*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44050] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44051] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   (11*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   (5*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44052] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (4*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44053] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 4*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44054] -> -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 
   6/a^6 - (6*z^2)/a^14 + (22*z^2)/a^12 - (18*z^2)/a^10 - (11*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^4)/a^14 + (34*z^4)/a^12 - (39*z^4)/a^10 - 
   (12*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (35*z^6)/a^10 - 
   (12*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 44055] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (6*z^2)/a^10 - (8*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (8*z^4)/a^10 - (15*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44056] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (15*z^2)/a^8 - (11*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (28*z^4)/a^8 - (34*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (32*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 44057] -> -a^(-14) + 3/a^12 - 3/a^10 + 
   a^(-8) - 2/a^6 + 3/a^4 - (3*z^2)/a^14 + (12*z^2)/a^12 - (10*z^2)/a^10 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (13*z^4)/a^10 - 
   (7*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (9*z^6)/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 44058] -> -a^(-14) + 3/a^12 - 3/a^10 + 
   a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (5*z^2)/a^12 - 
   (2*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44059] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (13*z^4)/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44060] -> 3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 
   26*z^2 + (6*z^2)/a^4 - (27*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 51*z^4 + 
   (5*z^4)/a^4 - (38*z^4)/a^2 + 12*a^2*z^4 - 12*a^4*z^4 + 41*z^6 + z^6/a^4 - 
   (19*z^6)/a^2 + 12*a^2*z^6 - 6*a^4*z^6 + 15*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 44061] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 18*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (8*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 24*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 14*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44062] -> 5 + a^(-4) - 4/a^2 - a^4 + 13*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 18*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44063] -> -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 
   2*a^2 - 13*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (23*z^4)/a^4 + (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44064] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (14*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (22*z^4)/a^6 - (23*z^4)/a^4 + (17*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (14*z^6)/a^6 - (16*z^6)/a^4 + (10*z^6)/a^2 + (3*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44065] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (5*z^4)/a^6 - (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44066] -> 
  -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 - z^2 - (2*z^2)/a^2 + a^4*z^2 + z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 44067] -> 4*a^2 - 5*a^4 + 2*a^6 - 4*z^2 + 13*a^2*z^2 - 
   17*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + 10*a^2*z^4 - 17*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 44068] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - 
   (2*z^2)/a^2 - 5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 4*z^4 - 2*a^2*z^4 - 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + z^6/a^2 - 4*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44069] -> 
  -3 + 2/a^2 + 2*a^2 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   3*a^4*z^2 - 6*z^4 - (4*z^4)/a^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 + 
   2*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 44070] -> 3*a^2 - 3*a^4 + a^6 + 4*a^2*z^2 - 
   3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 44071] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44072] -> 4*a^6 - 3*a^8 + 2*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 5*a^10*z^2 + 3*a^12*z^2 + 4*a^6*z^4 + 2*a^8*z^4 - 11*a^10*z^4 + 
   4*a^12*z^4 - 3*a^4*z^6 + 4*a^6*z^6 + 4*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 44073] -> a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + 2*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - a^4*z^4 + 2*a^6*z^4 - 
   2*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 44074] -> 
  -2 + a^(-6) + a^(-4) - 2/a^2 + 3*a^2 - 12*z^2 + (2*z^2)/a^6 - (4*z^2)/a^2 + 
   7*a^2*z^2 - 19*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 
   11*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44075] -> -1 + a^(-6) + a^(-4) - 2/a^2 + a^2 + a^4 - 
   7*z^2 + z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44076] -> 3*a^4 - 2*a^6 - 3*a^2*z^2 + 7*a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + 3*z^4 - 7*a^2*z^4 + 5*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 44077] -> a^2 + a^4 - a^6 - z^2 + 4*a^4*z^2 + 
   a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 44078] -> -2 + 6*a^2 - 3*a^4 - 6*z^2 - 
   z^2/a^2 + 20*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - (2*z^4)/a^2 + 
   23*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44079] -> -2 - 3/a^4 + 6/a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 2*a^2*z^2 - 15*z^4 - z^4/a^6 - 
   (7*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44080] -> 
  -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - (13*z^2)/a^10 + (42*z^2)/a^8 - 
   (43*z^2)/a^6 + (18*z^2)/a^4 - (16*z^4)/a^10 + (74*z^4)/a^8 - 
   (88*z^4)/a^6 + (30*z^4)/a^4 - (7*z^6)/a^10 + (53*z^6)/a^8 - (82*z^6)/a^6 + 
   (23*z^6)/a^4 - z^8/a^10 + (17*z^8)/a^8 - (40*z^8)/a^6 + (8*z^8)/a^4 + 
   (2*z^10)/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 44081] -> -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - 
   (7*z^2)/a^10 + (21*z^2)/a^8 - (14*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (25*z^4)/a^8 - (18*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (14*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44082] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - 
   (5*z^2)/a^10 + (14*z^2)/a^8 - (4*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (18*z^4)/a^8 - (7*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44083] -> -a^(-12) + 2/a^10 - 4/a^6 + 4/a^4 - 
   (6*z^2)/a^12 + (17*z^2)/a^10 - (4*z^2)/a^8 - (18*z^2)/a^6 + (14*z^2)/a^4 - 
   (5*z^4)/a^12 + (26*z^4)/a^10 - (14*z^4)/a^8 - (30*z^4)/a^6 + 
   (16*z^4)/a^4 - z^6/a^12 + (13*z^6)/a^10 - (16*z^6)/a^8 - (23*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^8)/a^10 - (7*z^8)/a^8 - (8*z^8)/a^6 + z^8/a^4 - 
   z^10/a^8 - z^10/a^6, Knot[15, Alternating, 44084] -> 
  -a^(-12) + 2/a^10 - 3/a^6 + 2/a^4 + a^(-2) - (3*z^2)/a^12 + (8*z^2)/a^10 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + 
   (8*z^4)/a^10 - (16*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 44085] -> 
  -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (4*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (6*z^4)/a^10 + (2*z^4)/a^8 - (14*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 44086] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 12*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (9*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (2*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44087] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^6 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44088] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44089] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 4*z^4 - z^4/a^2 + 
   17*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44090] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 
   3*a^2 - 19*z^2 - (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 
   24*z^4 - (7*z^4)/a^6 + (9*z^4)/a^4 + (14*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44091] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + 
   5*z^2 - (4*z^2)/a^2 + 7*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 + 13*z^4 - 
   (8*z^4)/a^2 + 13*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 44092] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44093] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + a^4*z^2 + 
   11*a^6*z^2 - 15*a^8*z^2 + 6*a^10*z^2 - 6*a^2*z^4 + 7*a^4*z^4 + 
   13*a^6*z^4 - 22*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 11*a^4*z^6 + 
   12*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 6*a^6*z^8 - 
   2*a^8*z^8 + a^4*z^10 + a^6*z^10, Knot[15, Alternating, 44094] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 4*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 7*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 44095] -> 2*a^8 - 3*a^10 + 7*a^12 - 
   5*a^14 + 21*a^8*z^2 - 29*a^10*z^2 + 46*a^12*z^2 - 20*a^14*z^2 + 
   40*a^8*z^4 - 66*a^10*z^4 + 81*a^12*z^4 - 21*a^14*z^4 + 29*a^8*z^6 - 
   70*a^10*z^6 + 58*a^12*z^6 - 8*a^14*z^6 + 9*a^8*z^8 - 38*a^10*z^8 + 
   18*a^12*z^8 - a^14*z^8 + a^8*z^10 - 10*a^10*z^10 + 2*a^12*z^10 - 
   a^10*z^12, Knot[15, Alternating, 44096] -> 2*a^8 - 2*a^10 + 5*a^12 - 
   4*a^14 + 6*a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 + 21*a^12*z^2 - 10*a^14*z^2 + 
   11*a^6*z^4 - 2*a^8*z^4 - 8*a^10*z^4 + 27*a^12*z^4 - 6*a^14*z^4 + 
   6*a^6*z^6 - 10*a^8*z^6 - 11*a^10*z^6 + 13*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 6*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 44097] -> 2*a^8 - a^10 + 3*a^12 - 3*a^14 + 8*a^6*z^2 - 
   a^8*z^2 + 4*a^10*z^2 + 12*a^12*z^2 - 7*a^14*z^2 + 12*a^6*z^4 - 9*a^8*z^4 + 
   2*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 12*a^8*z^6 - 
   6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 44098] -> 
  2*a^8 - a^10 + 3*a^12 - 3*a^14 + 2*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + 
   4*a^10*z^2 + 8*a^12*z^2 - 4*a^14*z^2 + 3*a^4*z^4 + 3*a^6*z^4 - 5*a^8*z^4 + 
   3*a^10*z^4 + 8*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44099] -> 2*a^8 + a^12 - 2*a^14 + 6*a^6*z^2 + 
   3*a^8*z^2 + 2*a^10*z^2 + 11*a^12*z^2 - 7*a^14*z^2 + 11*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 11*a^8*z^6 - 
   6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 44100] -> 
  3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 2*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 + 
   3*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 
   4*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44101] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   11*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 44102] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 3*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   17*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 21*a^4*z^4 + 
   24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 15*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44103] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44104] -> 
  a^6 - a^8 + a^10 + 4*a^12 - 4*a^14 + 10*a^6*z^2 - 7*a^8*z^2 + 6*a^10*z^2 + 
   18*a^12*z^2 - 10*a^14*z^2 + 15*a^6*z^4 - 15*a^8*z^4 + a^10*z^4 + 
   26*a^12*z^4 - 6*a^14*z^4 + 7*a^6*z^6 - 16*a^8*z^6 - 9*a^10*z^6 + 
   13*a^12*z^6 - a^14*z^6 + a^6*z^8 - 7*a^8*z^8 - 6*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 44105] -> 
  a^6 - a^8 + 2*a^10 + 2*a^12 - 3*a^14 + 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   8*a^10*z^2 + 7*a^12*z^2 - 4*a^14*z^2 + 4*a^4*z^4 + a^6*z^4 - 7*a^8*z^4 + 
   5*a^10*z^4 + 8*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 8*a^8*z^6 - 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44106] -> a^6 - a^8 + 3*a^10 - 2*a^14 + 4*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 9*a^10*z^2 + 4*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 
   a^6*z^4 - 6*a^8*z^4 + 6*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 7*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 44107] -> a^6 - a^8 + 3*a^10 - 2*a^14 + 
   a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 6*a^10*z^2 + 3*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 2*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 44108] -> a^6 - a^8 + 4*a^10 - 2*a^12 - a^14 + 
   3*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 13*a^10*z^2 + a^12*z^2 - 3*a^14*z^2 + 
   4*a^4*z^4 + a^6*z^4 - 8*a^8*z^4 + 9*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 8*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 44109] -> 
  a^6 + 2*a^10 - a^12 - a^14 + a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 
   6*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 
   2*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 44110] -> 5*a^8 - 4*a^10 + 4*a^4*z^2 - 
   12*a^6*z^2 + 32*a^8*z^2 - 14*a^10*z^2 + 14*a^4*z^4 - 42*a^6*z^4 + 
   59*a^8*z^4 - 16*a^10*z^4 + 16*a^4*z^6 - 52*a^6*z^6 + 46*a^8*z^6 - 
   7*a^10*z^6 + 7*a^4*z^8 - 31*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 44111] -> 
  a^6 + 3*a^8 - 3*a^10 + a^2*z^2 + 15*a^8*z^2 - 7*a^10*z^2 + 4*a^2*z^4 - 
   5*a^4*z^4 - 5*a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 
   8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44112] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 + 8*a^8*z^2 - 
   5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44113] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   (10*z^2)/a^10 + (31*z^2)/a^8 - (29*z^2)/a^6 + (13*z^2)/a^4 - 
   (12*z^4)/a^10 + (55*z^4)/a^8 - (63*z^4)/a^6 + (22*z^4)/a^4 - 
   (6*z^6)/a^10 + (42*z^6)/a^8 - (63*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 44114] -> 
  -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - (5*z^2)/a^10 + (15*z^2)/a^8 - 
   (8*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (13*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44115] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (15*z^2)/a^12 - (13*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (16*z^4)/a^12 - (20*z^4)/a^10 - 
   (15*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (14*z^6)/a^10 - 
   (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 44116] -> -a^(-14) + 3/a^12 - 3/a^10 - 
   a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - 
   (7*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44117] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 
   (6*z^2)/a^10 + (13*z^2)/a^8 - (13*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + 
   (19*z^4)/a^8 + (3*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + 
   (14*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44118] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   15*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44119] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44120] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 5*z^2 - (4*z^2)/a^2 + 9*a^2*z^2 - 
   13*a^4*z^2 + 4*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + 13*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44121] -> 3 - a^(-2) - 2*a^4 + a^6 + 7*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - z^4/a^4 + a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44122] -> 
  2*a^8 - a^10 + 3*a^12 - 3*a^14 + 3*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 
   13*a^12*z^2 - 7*a^14*z^2 + 7*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + 
   19*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 5*a^8*z^6 - 7*a^10*z^6 + 
   11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 44123] -> 
  2*a^8 + a^12 - 2*a^14 + a^4*z^2 + 5*a^6*z^2 + 4*a^8*z^2 + 3*a^10*z^2 + 
   5*a^12*z^2 - 3*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 + 3*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44124] -> -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 - 
   9*z^2 + (4*z^2)/a^2 + 10*a^2*z^2 - 15*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 
   16*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   10*z^6 + z^6/a^2 + 15*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44125] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^4 + 2*a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 44126] -> -a^6 + 7*a^8 - 5*a^10 + 
   6*a^4*z^2 - 19*a^6*z^2 + 41*a^8*z^2 - 17*a^10*z^2 + 17*a^4*z^4 - 
   51*a^6*z^4 + 67*a^8*z^4 - 17*a^10*z^4 + 17*a^4*z^6 - 57*a^6*z^6 + 
   48*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 44127] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 + 3*a^2*z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 + 12*a^8*z^2 - 7*a^10*z^2 + 7*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 + 19*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 6*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44128] -> 
  5*a^8 - 4*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 
   5*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 
   9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44129] -> -a^4 + 4*a^6 - 2*a^10 + z^2 - 2*a^4*z^2 + 
   8*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44130] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (13*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44131] -> 13 - 6/a^2 - 6*a^2 + 55*z^2 + (5*z^2)/a^4 - 
   (32*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - (52*z^4)/a^2 - 
   29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 44132] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 
   23*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 11*a^2*z^2 + 29*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 44133] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44134] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 8*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44135] -> 1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 44136] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (25*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44137] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 13*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 - 7*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 44138] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - 
   (12*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (19*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 44139] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 7*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 44140] -> 
  1 + a^2 - 3*a^4 + 4*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 13*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 19*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44141] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44142] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - a^2*z^2 + 4*z^4 + z^4/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44143] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^12 - (2*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 44144] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2 + z^2/a^12 - (2*z^2)/a^10 - 
   z^2/a^8 + (5*z^2)/a^6 + (2*z^2)/a^2 - z^4 - (3*z^4)/a^10 + z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 + (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 44145] -> 
  2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 5*z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - 
   z^4/a^10 + (10*z^4)/a^8 - (11*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44146] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 2/a^4 - (3*z^2)/a^14 + 
   (9*z^2)/a^12 - (5*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (8*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44147] -> 
  a^6 + 4*a^8 - 5*a^10 + a^12 - 2*a^4*z^2 + 29*a^8*z^2 - 23*a^10*z^2 + 
   4*a^12*z^2 - 5*a^4*z^4 + 48*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 4*a^6*z^6 + 35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 44148] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 3*z^2 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44149] -> 
  a^6 + 4*a^8 - 5*a^10 + a^12 - 2*a^4*z^2 + 6*a^6*z^2 + 15*a^8*z^2 - 
   13*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 10*a^6*z^4 + 
   18*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 44150] -> -a^(-10) + a^(-8) + 7/a^6 - 14/a^4 + 8/a^2 - 
   (5*z^2)/a^10 + (6*z^2)/a^8 + (17*z^2)/a^6 - (33*z^2)/a^4 + (12*z^2)/a^2 - 
   (8*z^4)/a^10 + (13*z^4)/a^8 + (19*z^4)/a^6 - (31*z^4)/a^4 + (6*z^4)/a^2 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (14*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44151] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   15*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44152] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   11*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   16*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 44153] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 10*a^4*z^4 + 15*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44154] -> -2 + a^(-4) + 2*a^2 - 10*z^2 + z^2/a^4 + 
   z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 11*z^4 + z^4/a^4 + 8*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44155] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 - 
   z^2/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44156] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44157] -> 
  -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) + z^2/a^12 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44158] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44159] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + (4*z^2)/a^12 - (19*z^2)/a^10 + 
   (20*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (26*z^4)/a^10 + 
   (36*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44160] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 2*z^2 + 
   6*a^2*z^2 + 4*a^4*z^2 - 16*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 
   3*a^4*z^4 - 18*a^6*z^4 + 7*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 
   12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44161] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (14*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - 
   (31*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44162] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (6*z^2)/a^14 + (21*z^2)/a^12 - (22*z^2)/a^10 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (31*z^4)/a^12 - (36*z^4)/a^10 - (2*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (31*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 44163] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - (3*z^2)/a^14 + (9*z^2)/a^12 - 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44164] -> 
  1 - a^2 + 2*a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 44165] -> 
  4 - a^(-10) + 3/a^8 - 2/a^6 + 2/a^4 - 5/a^2 + 4*z^2 - (4*z^2)/a^10 + 
   (8*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - (12*z^2)/a^2 + z^4 - 
   (4*z^4)/a^10 + (9*z^4)/a^8 + (5*z^4)/a^4 - (9*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (3*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 44166] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 2*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 44167] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44168] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (9*z^2)/a^2 - 6*z^4 - (7*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 5*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44169] -> -1 + 4*a^2 - 2*a^4 - z^2/a^4 + 7*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44170] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44171] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 + z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 5*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 9*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - 
   z^8 - 3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 44172] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44173] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 + z^2 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (7*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44174] -> 
  -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 + z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 44175] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 + 2*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44176] -> 
  3*a^8 - 3*a^10 + 4*a^12 - 3*a^14 + 4*a^4*z^2 - a^6*z^2 + 10*a^8*z^2 - 
   5*a^10*z^2 + 11*a^12*z^2 - 4*a^14*z^2 + 4*a^4*z^4 - 4*a^6*z^4 + 
   5*a^8*z^4 - 5*a^10*z^4 + 9*a^12*z^4 - a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - 
   2*a^8*z^6 - 4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44177] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 2*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   z^4/a^6 + (5*z^4)/a^4 + z^4/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 44178] -> a^6 + a^10 + a^12 - 2*a^14 + 2*a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 + 3*a^10*z^2 + 4*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 44179] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 6*a^8*z^2 - 
   3*a^10*z^2 + z^4 + a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 6*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44180] -> 
  -1 + 3*a^2 - a^6 - 7*z^2 + 13*a^2*z^2 - 3*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 44181] -> 
  -2 + 6*a^2 - 3*a^4 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 12*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 + 2*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 44182] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (9*z^2)/a^10 + (27*z^2)/a^8 - (23*z^2)/a^6 + (11*z^2)/a^4 - 
   (12*z^4)/a^10 + (53*z^4)/a^8 - (59*z^4)/a^6 + (21*z^4)/a^4 - 
   (6*z^6)/a^10 + (42*z^6)/a^8 - (62*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 44183] -> 
  -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - (5*z^2)/a^10 + (16*z^2)/a^8 - 
   (12*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (15*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44184] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (12*z^2)/a^12 - (9*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (16*z^4)/a^10 - (16*z^4)/a^8 + 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44185] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   16*z^2 - (6*z^2)/a^6 + (9*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (9*z^4)/a^6 + (18*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44186] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 5*z^2 - 
   (4*z^2)/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 + 10*z^4 - (6*z^4)/a^2 + 
   14*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44187] -> 2*a^8 + a^10 - a^12 - a^14 + 
   4*a^6*z^2 + 5*a^8*z^2 + 7*a^10*z^2 + 2*a^12*z^2 - 4*a^14*z^2 + 8*a^6*z^4 + 
   7*a^10*z^4 + 11*a^12*z^4 - 4*a^14*z^4 + 5*a^6*z^6 - 7*a^8*z^6 - 
   2*a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 4*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 44188] -> 
  a^(-10) - a^(-8) + a^(-6) - 4/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - (26*z^4)/a^4 + (18*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - (17*z^6)/a^4 + (10*z^6)/a^2 + 
   (3*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 44189] -> -2*a^6 + 9*a^8 - 6*a^10 + 6*a^4*z^2 - 
   19*a^6*z^2 + 42*a^8*z^2 - 17*a^10*z^2 + 17*a^4*z^4 - 51*a^6*z^4 + 
   67*a^8*z^4 - 17*a^10*z^4 + 17*a^4*z^6 - 57*a^6*z^6 + 48*a^8*z^6 - 
   7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 44190] -> 
  -a^4 + 2*a^6 + 4*a^8 - 4*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   18*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 22*a^8*z^4 - 
   5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44191] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 + 4*a^2*z^2 - 
   11*a^4*z^2 + 17*a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 + 8*a^2*z^4 - 
   19*a^4*z^4 + 11*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44192] -> -1 + a^(-2) + a^2 - 5*z^2 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   13*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 + z^6/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44193] -> -2/a^6 + 3/a^4 - 4*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44194] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + 13*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 + 
   a^12*z^2 - 4*a^4*z^4 + 16*a^6*z^4 - 9*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 
   4*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 44195] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44196] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 3*z^2 - 
   z^2/a^2 - 2*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 9*z^4 - (5*z^4)/a^2 + 
   a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44197] -> 15 - 7/a^2 - 7*a^2 + 55*z^2 + 
   (4*z^2)/a^4 - (30*z^2)/a^2 - 22*a^2*z^2 + 88*z^4 + (8*z^4)/a^4 - 
   (49*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 44198] -> 
  7 - 2/a^4 - 4*a^2 + 23*z^2 + z^2/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 - 
   11*a^2*z^2 + 29*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 44199] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 3*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 44200] -> 
  2 - a^(-6) + a^(-4) - a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 44201] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 44202] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44203] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   13*z^2 - z^2/a^4 + (6*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44204] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44205] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (14*z^2)/a^14 + 
   (5*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (10*z^4)/a^14 + (21*z^4)/a^12 + (23*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (17*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 44206] -> 
  a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 3/a^8 - z^2/a^16 - (6*z^2)/a^14 + 
   (6*z^2)/a^12 + (3*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (10*z^4)/a^12 + (9*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 44207] -> -1 - a^(-6) + 2/a^4 + a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (9*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44208] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (11*z^4)/a^6 + 
   (10*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44209] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   (3*z^4)/a^8 - z^4/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 44210] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 8*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 12*z^4 - z^4/a^6 + (12*z^4)/a^4 - 
   (11*z^4)/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - (2*z^8)/a^2 - a^2*z^8, 
 Knot[15, Alternating, 44211] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 + 2*a^4*z^2 - 6*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 44212] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 6*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + 
   (2*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + 
   (6*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44213] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + 2*a^2*z^2 + 9*a^4*z^2 - 12*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 8*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   7*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44214] -> 
  -1 + a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 44215] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 9*z^2 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   (6*z^4)/a^4 - (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44216] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 + 2*z^2 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^8 - 
   (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44217] -> -2 + a^(-4) + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 44218] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 - z^2/a^4 + 
   z^2/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44219] -> a^4 + 2*a^8 - 2*a^10 + 3*a^4*z^2 - 
   2*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 2*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 
   15*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 44220] -> 2/a^16 - 5/a^14 - a^(-12) + 
   5/a^10 + (2*z^2)/a^16 - (19*z^2)/a^14 + (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (15*z^4)/a^14 + (29*z^4)/a^12 + 
   (27*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (22*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 44221] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 9*z^2 + z^2/a^4 + z^2/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44222] -> 
  3 - 2/a^2 + 3*a^2 - 4*a^4 + a^6 + 7*z^2 - (5*z^2)/a^2 + 11*a^2*z^2 - 
   14*a^4*z^2 + 4*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 14*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44223] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 8*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   z^4/a^4 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44224] -> 1 + 2/a^4 - 3/a^2 + 2*a^4 - a^6 + z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 44225] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44226] -> 
  -2 + a^(-4) + 2*a^2 - z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 + (2*z^4)/a^6 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44227] -> 1 + a^2 - 2*a^4 + a^6 - z^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 + 3*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44228] -> 3*a^2 - 2*a^4 - a^6 + a^8 - z^2 + 
   7*a^2*z^2 - 5*a^4*z^2 - 7*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 10*a^2*z^4 - 
   3*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 44229] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   5*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   8*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44230] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^12*z^2 - 
   a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 44231] -> 
  -3 + 3/a^2 + a^2 - 2*a^4 + 2*a^6 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   10*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44232] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + 
   a^10 - z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 6*a^2*z^4 - 10*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 44233] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 4*a^2*z^2 + 9*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 
   4*z^4 - 8*a^2*z^4 + 5*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 44234] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 2*z^2 + 
   2*a^2*z^2 + 6*a^4*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44235] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - 
   (8*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (21*z^4)/a^4 - 
   (27*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (14*z^6)/a^4 - (27*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 44236] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 6*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - 
   (6*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 44237] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   13*z^2 + (2*z^2)/a^4 - z^2/a^2 + 19*a^2*z^2 - 7*a^4*z^2 - 7*z^4 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 3*z^6 + z^6/a^4 - 
   (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 44238] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (13*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 - z^6/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 44239] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44240] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) - (3*z^2)/a^12 + (11*z^2)/a^10 - (9*z^2)/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - 
   (19*z^4)/a^8 + (9*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (14*z^6)/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 44241] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44242] -> -1 + a^(-2) + 4*a^2 - 6*a^4 + 3*a^6 + 
   2*z^2 - (3*z^2)/a^2 + 11*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 + 11*z^4 - 
   (8*z^4)/a^2 + 16*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 6*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 44243] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^4 - 5*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 11*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44244] -> 
  a^2 + a^4 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 44245] -> 
  2*a^8 + a^12 - 2*a^14 + 4*a^6*z^2 + 7*a^8*z^2 + 11*a^12*z^2 - 7*a^14*z^2 + 
   8*a^6*z^4 + 3*a^8*z^4 - 2*a^10*z^4 + 19*a^12*z^4 - 5*a^14*z^4 + 
   5*a^6*z^6 - 6*a^8*z^6 - 7*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   5*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 44246] -> 3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 
   2*a^4*z^2 + 2*a^6*z^2 + 7*a^8*z^2 + a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 
   3*a^4*z^4 + a^6*z^4 + a^8*z^4 + 3*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 44247] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44248] -> a^6 - a^8 + 4*a^10 - 2*a^12 - a^14 + 
   2*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 15*a^10*z^2 - 2*a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 10*a^8*z^4 + 14*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44249] -> -a^4 + 4*a^6 - 2*a^10 + 4*a^2*z^2 - 
   8*a^4*z^2 + 10*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44250] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^12 + (7*z^2)/a^10 - (8*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - 
   (17*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 44251] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^8 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 44252] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + 
   (8*z^2)/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (7*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44253] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44254] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44255] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (15*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (16*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 44256] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 9*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44257] -> 4*a^8 - 4*a^10 + 3*a^12 - 2*a^14 + 
   2*a^4*z^2 + 14*a^8*z^2 - 8*a^10*z^2 + 8*a^12*z^2 - 3*a^14*z^2 + 
   3*a^4*z^4 - 2*a^6*z^4 + 10*a^8*z^4 - 5*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 3*a^6*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 44258] -> 1 + a^(-10) - a^(-8) + a^(-6) - 
   3/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44259] -> 
  -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 + 2*z^2 - 4*a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 
   2*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44260] -> 2 + a^(-2) - 3*a^2 + a^8 + 4*z^2 - z^2/a^2 - 
   8*a^2*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44261] -> 
  -1 + a^(-2) + a^2 + z^2 - z^2/a^6 + a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 + 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44262] -> 2*a^2 - 2*a^6 + a^8 + 3*a^2*z^2 - 
   5*a^6*z^2 + 2*a^10*z^2 - 2*z^4 + a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 
   4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 44263] -> 
  -1 - 2/a^4 + 4/a^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44264] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 16*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44265] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 
   17*a^2*z^4 - 17*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 44266] -> a^4 + 2*a^8 - 2*a^10 + 
   6*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44267] -> 1 - a^(-6) + 6/a^4 - 7/a^2 + 2*a^2 - 5*z^2 - 
   (4*z^2)/a^6 + (16*z^2)/a^4 - (17*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   (8*z^4)/a^6 + (20*z^4)/a^4 - (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44268] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 13*z^2 - 
   (4*z^2)/a^2 - 12*a^2*z^2 + 2*a^6*z^2 + 17*z^4 - (6*z^4)/a^2 - 9*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 12*z^6 - (4*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44269] -> -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (10*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (21*z^4)/a^8 - (27*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (14*z^6)/a^8 - (27*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44270] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 - (5*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44271] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 15*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + (5*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44272] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 + z^2/a^6 - (14*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (6*z^4)/a^6 - (16*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44273] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 44274] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (4*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44275] -> 
  -2 + 2/a^2 + a^4 - 9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44276] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 - a^2*z^4 + a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   2*a^2*z^6 + 3*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 44277] -> a^2 + a^4 - a^6 + z^2 - z^2/a^2 - 
   2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + z^4/a^2 - 4*a^2*z^4 + 13*a^4*z^4 - 
   4*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 44278] -> 1 - a^2 + 2*a^4 - a^6 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44279] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (4*z^2)/a^10 + (18*z^2)/a^8 - (19*z^2)/a^6 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - (39*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - (33*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 44280] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (11*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (5*z^4)/a^6 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44281] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   (7*z^2)/a^10 + (22*z^2)/a^8 - (14*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (32*z^4)/a^8 - (33*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (17*z^6)/a^8 - (31*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 44282] -> -2/a^10 + 3/a^8 - 2/a^4 + 
   2/a^2 + z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - (9*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (10*z^4)/a^8 - (5*z^4)/a^6 - (15*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44283] -> 
  -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + a^(-4) + a^(-2) - (3*z^2)/a^12 + 
   (9*z^2)/a^10 + (2*z^2)/a^8 - (11*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^12 + (11*z^4)/a^10 - (4*z^4)/a^8 - (20*z^4)/a^6 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 44284] -> 
  -a^(-12) + a^(-10) + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (4*z^2)/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 44285] -> 
  a^(-6) - a^(-4) + a^2 - 8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44286] -> -1 + a^(-2) + a^2 + 3*z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44287] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (15*z^2)/a^12 - (20*z^2)/a^10 + (7*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^4)/a^14 + (27*z^4)/a^12 - (35*z^4)/a^10 + (3*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (31*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 44288] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (6*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - 
   (14*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 44289] -> a^(-12) - 3/a^10 + 3/a^6 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44290] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 44291] -> -a^(-12) - a^(-10) + 3/a^8 - 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (4*z^4)/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44292] -> 
  -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 44293] -> 
  2*a^2 - 2*a^6 + a^8 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 + 
   a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 44294] -> 
  -1 + 2/a^8 - 3/a^6 - 2/a^4 + 5/a^2 - 4*z^2 + (6*z^2)/a^8 - (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (16*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44295] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 2*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44296] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 7*z^2 + 
   (5*z^2)/a^4 - (10*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 13*z^4 + 
   (8*z^4)/a^4 - (14*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44297] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 - 5*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   7*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 44298] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 8*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 13*z^4 - (4*z^4)/a^6 + 
   (7*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44299] -> 
  1 - a^(-6) + 5/a^4 - 5/a^2 + a^4 + 2*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (13*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 44300] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (20*z^4)/a^8 - (23*z^4)/a^6 - 
   (8*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (26*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 44301] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44302] -> -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (2*z^4)/a^4 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44303] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44304] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44305] -> -1 - a^(-6) + 5/a^4 - 4/a^2 + a^2 + a^4 - 
   7*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44306] -> 
  -4 - 5/a^4 + 10/a^2 - 11*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (26*z^2)/a^2 - 11*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (29*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + (18*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44307] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^12 - (10*z^4)/a^8 + 
   (17*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44308] -> a^4 + 2*a^6 - 2*a^8 + a^4*z^2 + 9*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - a^4*z^4 + 10*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 44309] -> 
  -12 - 2/a^6 - a^(-4) + 12/a^2 + 4*a^2 - 32*z^2 - (5*z^2)/a^6 + 
   (8*z^2)/a^4 + (20*z^2)/a^2 + 12*a^2*z^2 - 35*z^4 - (4*z^4)/a^6 + 
   (16*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (6*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44310] -> 
  a^(-12) - 10/a^8 + 14/a^6 - 4/a^4 + (3*z^2)/a^12 - (8*z^2)/a^10 - 
   (13*z^2)/a^8 + (37*z^2)/a^6 - (12*z^2)/a^4 + (3*z^4)/a^12 - 
   (14*z^4)/a^10 + (39*z^4)/a^6 - (13*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + 
   (8*z^6)/a^8 + (22*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44311] -> -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^12 - 
   (12*z^2)/a^10 + (12*z^2)/a^8 + (3*z^2)/a^6 + (4*z^4)/a^12 - 
   (23*z^4)/a^10 + (29*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (15*z^6)/a^10 + (27*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44312] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44313] -> 2 + a^(-8) + a^(-6) - 4/a^4 + a^(-2) + 
   3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (5*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44314] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (8*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44315] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44316] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 15*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (25*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44317] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (12*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44318] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 16*z^2 - z^2/a^6 + (8*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 - z^4/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 + 
   a^4*z^4 - 11*z^6 + (2*z^6)/a^4 + z^6/a^2 + a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 44319] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44320] -> -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44321] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^6 + 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 44322] -> 
  3*a^4 - 2*a^6 - z^2 + 4*a^2*z^2 - a^6*z^2 + a^8*z^2 - z^4/a^2 + 7*a^2*z^4 - 
   8*a^4*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44323] -> 
  5 - 2/a^2 - 2*a^2 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44324] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (4*z^2)/a^10 + (15*z^2)/a^8 - (15*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (25*z^4)/a^8 - (31*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 44325] -> -a^(-10) + 3/a^8 - 5/a^6 + 
   4/a^4 + z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44326] -> 
  a^2 - 3*a^4 + 4*a^6 + 2*a^8 - 3*a^10 + 5*a^2*z^2 - 11*a^4*z^2 + 
   10*a^6*z^2 + 11*a^8*z^2 - 6*a^10*z^2 + 7*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44327] -> 
  a^(-2) - a^2 + a^4 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44328] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 2*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44329] -> 
  2*a^2 - a^6 - a^8 + a^10 - z^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 8*a^4*z^4 + 11*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44330] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 - (5*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - 
   (11*z^4)/a^6 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44331] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44332] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (20*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 44333] -> a^(-2) - a^2 + a^4 + 2*z^2 - 
   z^2/a^4 - 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44334] -> a^2 + a^4 - a^6 - z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 
   9*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 44335] -> 4 - 2/a^6 + 3/a^4 - a^(-2) - 
   5*a^2 + 2*a^4 + 5*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - 
   11*a^2*z^2 + 5*a^4*z^2 - z^4/a^6 + (8*z^4)/a^4 - (5*z^4)/a^2 - 
   10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 44336] -> 
  a^(-12) - 3/a^10 + 2/a^8 - 3/a^6 + 6/a^4 - 2/a^2 + (2*z^2)/a^12 - 
   (8*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (13*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 + (11*z^4)/a^4 - 
   (4*z^4)/a^2 - (2*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 44337] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2 + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4 - (3*z^4)/a^10 + (6*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 44338] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   z^4/a^2 + 15*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44339] -> 
  1 + a^(-8) - a^(-4) - a^(-2) + a^2 - z^2 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 44340] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44341] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 + z^2/a^10 - (16*z^2)/a^8 + (11*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (24*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44342] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + 8*a^2*z^2 - 5*a^4*z^2 - z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (10*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44343] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   a^4*z^4 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 44344] -> 1 + 2/a^8 - 5/a^6 + 4/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4 + (4*z^4)/a^10 - (8*z^4)/a^8 - (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44345] -> 1 - 7*z^2 + z^2/a^4 + 9*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^4 - (3*z^4)/a^2 + 16*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 11*a^2*z^6 + a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44346] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (6*z^2)/a^10 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44347] -> 
  7 - 3/a^2 - 3*a^2 + 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 2*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 44348] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + 
   (9*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (2*z^4)/a^12 + (11*z^4)/a^10 - (12*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44349] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^8 - (2*z^2)/a^6 - a^2*z^2 - 
   a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 2*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 44350] -> 
  -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 21*z^2 - (6*z^2)/a^6 + (8*z^2)/a^4 + 
   (10*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - (7*z^4)/a^6 + (13*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44351] -> 
  -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 8*z^2 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (14*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44352] -> a^2 - a^4 + a^6 + a^8 - a^12 + z^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   z^4 - a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 44353] -> 5*a^6 - 5*a^8 + a^10 + a^4*z^2 + 
   12*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 
   12*a^6*z^4 - 11*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44354] -> 4 - 6*a^2 + 3*a^4 + z^2 - z^2/a^4 + 
   (5*z^2)/a^2 - 16*a^2*z^2 + 8*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 19*a^2*z^4 + 8*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 44355] -> 
  2 + a^(-4) - 2/a^2 + z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 5*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 44356] -> 
  1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 + 2*a^2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 44357] -> 2 + a^(-2) - 4*a^2 + a^4 + a^6 + z^2 + 
   z^2/a^2 - 6*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44358] -> -3 + 3/a^2 + a^6 - 6*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44359] -> a^(-4) - a^(-2) + a^2 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44360] -> -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + 
   z^2/a^12 + (3*z^2)/a^10 - (17*z^2)/a^8 + (18*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44361] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^4 - (3*z^4)/a^10 + 
   z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 44362] -> 
  -a^(-6) + a^(-4) + a^(-2) + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44363] -> 
  -3 - 2/a^6 + 3/a^4 + 2/a^2 + a^4 - 13*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 17*z^4 - z^4/a^6 + (8*z^4)/a^4 - 
   4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 44364] -> 
  1 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44365] -> -2 - a^(-8) + a^(-6) + a^(-4) + a^(-2) + 
   a^4 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^4*z^2 - 7*z^4 + (2*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 44366] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   z^2/a^12 + (3*z^2)/a^10 - (16*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - (10*z^4)/a^8 + (22*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + z^6/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44367] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - 
   z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44368] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (7*z^2)/a^8 - (16*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (9*z^4)/a^10 - z^4/a^8 - (23*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 44369] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + z^4 + (3*z^4)/a^10 - z^4/a^8 - (8*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 44370] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 7*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 44371] -> 
  -2 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + a^4 - 3*z^2 - z^2/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 44372] -> -1 - 2/a^4 + 4/a^2 - z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 44373] -> 
  1 - 2/a^10 + 5/a^8 - 4/a^6 + a^(-4) + 3*z^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - 
   (9*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44374] -> 1 - a^(-12) + 2/a^10 - 2/a^6 + a^(-4) + 
   2*z^2 - z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^10 - z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 44375] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - z^2 - 
   z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44376] -> a^4 + 2*a^8 - 2*a^10 + z^2 - 2*a^2*z^2 + 
   5*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + 
   3*a^4*z^4 - 4*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44377] -> 1 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44378] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44379] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44380] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   16*z^4 - (2*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44381] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + 3*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44382] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (9*z^2)/a^12 - (5*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44383] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 - 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 44384] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + z^2/a^12 + 
   (5*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (5*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44385] -> 
  -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - z^2/a^14 + (4*z^2)/a^10 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 44386] -> 7*a^8 - 8*a^10 + 2*a^12 - 
   a^4*z^2 - 3*a^6*z^2 + 34*a^8*z^2 - 27*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 - 
   3*a^6*z^4 + 50*a^8*z^4 - 31*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   3*a^6*z^6 + 35*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 44387] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - 3*a^4*z^2 + 
   11*a^6*z^2 + 7*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 
   15*a^6*z^4 + 9*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 44388] -> 7*a^8 - 8*a^10 + 2*a^12 - a^4*z^2 + 
   3*a^6*z^2 + 20*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 8*a^6*z^4 + 21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 44389] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 15*z^2 - z^2/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 
   19*z^4 - (5*z^4)/a^6 + (5*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44390] -> -8 - a^(-6) + a^(-4) + 5/a^2 + 4*a^2 - 
   26*z^2 - (6*z^2)/a^6 + (7*z^2)/a^4 + (15*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - 
   (9*z^4)/a^6 + (15*z^4)/a^4 + (20*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44391] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 9*z^2 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (15*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (16*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44392] -> 
  a^2 - 3*a^4 + 3*a^6 + 4*a^8 - 4*a^10 + 5*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 + 
   16*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 17*a^4*z^4 + a^6*z^4 + 21*a^8*z^4 - 
   5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 7*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44393] -> a^2 - 4*a^4 + 7*a^6 - a^8 - 2*a^10 + z^2 + 
   2*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 
   10*a^4*z^4 + 6*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44394] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 22*a^2*z^2 - 23*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 27*a^2*z^4 - 28*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + 
   z^6/a^2 + 17*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44395] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 8*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44396] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 
   2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 14*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 19*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 44397] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^10 + (14*z^2)/a^6 - (22*z^2)/a^4 + 
   (10*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 - (27*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (4*z^6)/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44398] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + (2*z^2)/a^12 - (17*z^2)/a^8 + 
   (25*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (8*z^4)/a^10 - (10*z^4)/a^8 + 
   (27*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (2*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 44399] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44400] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 2*z^2 + 
   (4*z^2)/a^8 - (21*z^2)/a^6 + (30*z^2)/a^4 - (7*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (29*z^4)/a^6 + (45*z^4)/a^4 - (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (3*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44401] -> -2/a^6 + 3/a^4 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (11*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (14*z^4)/a^4 - (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 44402] -> 7*a^4 - 10*a^6 + 4*a^8 - z^2 + 
   2*a^2*z^2 + 14*a^4*z^2 - 27*a^6*z^2 + 11*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 
   6*a^4*z^4 - 30*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44403] -> 
  2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - z^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*a^6*z^2 + 
   5*a^8*z^2 + z^4 - z^4/a^2 + 5*a^2*z^4 - 7*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44404] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 7*z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - 
   (16*z^2)/a^2 + 7*a^2*z^2 - 9*z^4 - (4*z^4)/a^6 + (28*z^4)/a^4 - 
   (36*z^4)/a^2 + 9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (32*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 44405] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (14*z^2)/a^2 + 4*a^2*z^2 - 2*z^4 - z^4/a^8 + (6*z^4)/a^6 + 
   z^4/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 44406] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (4*z^2)/a^10 + (18*z^2)/a^8 - (20*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (26*z^4)/a^8 - (35*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 44407] -> -a^(-14) + 5/a^12 - 9/a^10 + 
   4/a^8 + 2/a^6 - (6*z^2)/a^14 + (23*z^2)/a^12 - (30*z^2)/a^10 + 
   (10*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (34*z^4)/a^12 - 
   (45*z^4)/a^10 + (6*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - 
   (36*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 44408] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - (10*z^2)/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - 
   (11*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44409] -> -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 
   2/a^6 + a^(-4) - (3*z^2)/a^14 + (10*z^2)/a^12 - (6*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (7*z^4)/a^10 - (13*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (7*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44410] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 - z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 44411] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 + (10*z^2)/a^2 - 4*z^4 + z^4/a^10 - (7*z^4)/a^8 + (9*z^4)/a^6 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 44412] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 5*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 8*z^4 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 4*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 44413] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 - z^2/a^6 - z^2/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 + 
   2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 44414] -> a^(-12) - 4/a^10 + 2/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (9*z^2)/a^12 - (8*z^2)/a^10 + z^2/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^14 + (16*z^4)/a^12 - (7*z^4)/a^10 - (8*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 44415] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44416] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (6*z^4)/a^10 - (11*z^4)/a^8 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44417] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^14 + (5*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (2*z^4)/a^12 + (3*z^4)/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44418] -> -a^4 + 3*a^6 + 4*a^8 - 7*a^10 + 2*a^12 - 
   a^2*z^2 - 5*a^4*z^2 + 13*a^6*z^2 + 17*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 19*a^6*z^4 + 23*a^8*z^4 - 16*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 44419] -> 
  -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 3*a^2*z^2 + a^4*z^2 + 14*a^6*z^2 + 
   a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 
   14*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 44420] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 44421] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44422] -> 
  2 - a^(-6) + 3/a^4 - 2/a^2 - 3*a^2 + 2*a^4 + 4*z^2 - (5*z^2)/a^6 + 
   (9*z^2)/a^4 - (4*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 44423] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 44424] -> 
  a^2 - a^4 + 2*a^8 + a^10 - 2*a^12 + 4*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 
   8*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 4*a^4*z^4 - 12*a^6*z^4 + 
   4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 9*a^6*z^6 - 
   2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 44425] -> a^2 - a^4 + 3*a^8 - a^10 - a^12 + z^2 + 
   3*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 7*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + 
   z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 44426] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 4*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 
   2*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 6*z^4 + z^4/a^2 + 
   4*a^2*z^4 + a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44427] -> 
  a^(-6) - a^(-4) + a^2 - 5*z^2 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 12*z^4 - (4*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44428] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 3*z^2 + z^2/a^6 - (4*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 - z^4/a^6 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44429] -> -1 + 4*a^2 - 2*a^4 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44430] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 44431] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 + 2*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 
   3*a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 - 3*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 9*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 44432] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (13*z^4)/a^8 - 
   z^4/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (12*z^6)/a^8 + 
   (4*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 44433] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (11*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44434] -> a^2 + a^4 - 2*a^8 + a^10 - 2*z^2 + 
   4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   4*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 44435] -> 2*a^8 + a^10 - a^12 - a^14 + 
   8*a^6*z^2 - 3*a^8*z^2 + 11*a^10*z^2 + 2*a^12*z^2 - 4*a^14*z^2 + 
   12*a^6*z^4 - 12*a^8*z^4 + 11*a^10*z^4 + 11*a^12*z^4 - 4*a^14*z^4 + 
   6*a^6*z^6 - 13*a^8*z^6 - a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 44436] -> 4*a^8 - 4*a^10 + 3*a^12 - 2*a^14 + 
   4*a^4*z^2 - 2*a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 + 8*a^12*z^2 - 
   3*a^14*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - 4*a^10*z^4 + 7*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - a^8*z^8 - a^10*z^8, Knot[15, Alternating, 44437] -> 
  a^2 + a^4 - 2*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44438] -> 
  a^6 - a^8 + 5*a^10 - 4*a^12 + 4*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   14*a^10*z^2 - 2*a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 
   10*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44439] -> a^6 + a^8 - a^14 + 2*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - 
   a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 44440] -> 
  4 - a^(-4) - 2*a^2 + 12*z^2 - (4*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 
   17*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 44441] -> 
  -1 + 3*a^2 - a^6 - 6*z^2 + 8*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 44442] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (11*z^2)/a^2 - (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (4*z^8)/a^4 - (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 44443] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 4*a^2*z^4 + a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   4*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 44444] -> -2/a^10 + 2/a^8 + a^(-4) - 
   (10*z^2)/a^10 + (26*z^2)/a^8 - (17*z^2)/a^6 + (8*z^2)/a^4 - 
   (12*z^4)/a^10 + (51*z^4)/a^8 - (50*z^4)/a^6 + (18*z^4)/a^4 - 
   (6*z^6)/a^10 + (41*z^6)/a^8 - (57*z^6)/a^6 + (17*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (32*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 44445] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (5*z^2)/a^10 + (13*z^2)/a^8 - 
   (5*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (10*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (10*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44446] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44447] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 + 8*z^2 - 
   (6*z^2)/a^2 + 11*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 + 17*z^4 - (8*z^4)/a^2 + 
   11*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44448] -> 4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 
   9*z^2 - (2*z^2)/a^4 - z^2/a^2 - 6*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44449] -> 2*a^8 + 3*a^10 - 5*a^12 + a^14 + 3*a^6*z^2 + 
   6*a^8*z^2 + 9*a^10*z^2 - 3*a^12*z^2 - 3*a^14*z^2 + 7*a^6*z^4 + 2*a^8*z^4 + 
   9*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 5*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 
   9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 44450] -> 
  4*a^8 - 2*a^10 - a^12 + a^4*z^2 + 3*a^6*z^2 + 7*a^8*z^2 + 2*a^10*z^2 - 
   2*a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 + 5*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 44451] -> 
  -3*a^6 + 11*a^8 - 7*a^10 + 4*a^4*z^2 - 16*a^6*z^2 + 43*a^8*z^2 - 
   18*a^10*z^2 + 14*a^4*z^4 - 43*a^6*z^4 + 65*a^8*z^4 - 17*a^10*z^4 + 
   16*a^4*z^6 - 52*a^6*z^6 + 47*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   31*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 44452] -> -a^4 + a^6 + 6*a^8 - 5*a^10 + 
   a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 4*a^2*z^4 - 
   5*a^4*z^4 - 4*a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 
   8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44453] -> 
  -2*a^4 + 5*a^6 + a^8 - 3*a^10 + 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 + 
   10*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 
   15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 44454] -> -2*a^4 + 5*a^6 + a^8 - 3*a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + z^4 + 
   a^2*z^4 - 5*a^4*z^4 + 2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44455] -> -3*a^4 + 9*a^6 - 4*a^8 - a^10 + 3*a^2*z^2 - 
   12*a^4*z^2 + 24*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 + 7*a^2*z^4 - 18*a^4*z^4 + 
   17*a^6*z^4 + 10*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44456] -> 
  -a^2 + a^4 + 4*a^6 - 2*a^8 - a^10 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 
   9*a^6*z^2 + a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44457] -> 
  2*a^2 - a^4 - 4*z^2 + 6*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - z^4 + 
   5*a^2*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 2*a^2*z^6 - 3*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 44458] -> 1 + z^2 - (2*z^2)/a^2 + 
   a^2*z^2 + a^4*z^2 + a^6*z^2 - 2*a^8*z^2 + 3*z^4 + a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 + z^6/a^2 - 3*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 44459] -> 3 - a^(-2) - a^2 + 5*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + z^4/a^4 + 
   12*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44460] -> -4/a^6 + 7/a^4 - 2/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (11*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44461] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44462] -> 4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 
   15*a^6*z^2 - 14*a^8*z^2 + 7*a^10*z^2 - 3*a^4*z^4 + 16*a^6*z^4 - 
   14*a^8*z^4 - 2*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 44463] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 5*a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44464] -> -3 + a^(-6) + 3*a^2 - 12*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 4*a^2*z^4 - 
   9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44465] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (23*z^2)/a^14 + (14*z^2)/a^12 + (19*z^2)/a^10 + z^2/a^8 - 
   z^4/a^16 - (19*z^4)/a^14 + (31*z^4)/a^12 + (31*z^4)/a^10 + (3*z^4)/a^8 - 
   z^6/a^16 - (3*z^6)/a^14 + (24*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + 
   z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44466] -> 17 - 8/a^2 - 8*a^2 + 65*z^2 + (3*z^2)/a^4 - 
   (33*z^2)/a^2 - 27*a^2*z^2 + 99*z^4 + (6*z^4)/a^4 - (48*z^4)/a^2 - 
   33*a^2*z^4 + 79*z^6 + (4*z^6)/a^4 - (35*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 44467] -> 7 - a^(-4) - 2/a^2 - 2*a^2 - a^4 + 
   11*z^2 + z^2/a^6 - (5*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 44468] -> 
  -5 + a^(-6) - 3/a^4 + 6/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44469] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 5*z^2 - 
   z^2/a^4 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 44470] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 20*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44471] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + z^2/a^16 - (18*z^2)/a^14 + 
   (13*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (11*z^4)/a^14 + (26*z^4)/a^12 + (22*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (18*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 44472] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 - (10*z^2)/a^14 + (3*z^2)/a^12 + 
   (15*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (11*z^4)/a^12 + (17*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 44473] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   z^2/a^16 - (7*z^2)/a^14 + (7*z^2)/a^12 + (5*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (11*z^4)/a^12 + (10*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 44474] -> 
  a^(-16) - 3/a^14 + a^(-12) - a^(-10) + 3/a^8 - z^2/a^16 - (4*z^2)/a^14 + 
   (3*z^2)/a^12 + (5*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 44475] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   3*z^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 44476] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + z^2/a^12 - (4*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44477] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 + 2*a^6*z^2 + 18*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 7*a^6*z^4 + 20*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 44478] -> a^4 + 3*a^8 - 4*a^10 + a^12 + a^2*z^2 - 
   a^4*z^2 + 5*a^6*z^2 + 6*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   7*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 44479] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 44480] -> 
  3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + (2*z^2)/a^16 - (24*z^2)/a^14 + 
   (21*z^2)/a^12 + (14*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (16*z^4)/a^14 + (35*z^4)/a^12 + (26*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (23*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 44481] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 - (11*z^2)/a^14 + (4*z^2)/a^12 + 
   (17*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + 
   (12*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 44482] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - z^4/a^2 + 9*a^2*z^4 - 
   10*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44483] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44484] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 8*a^2*z^4 - 6*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 10*a^2*z^6 - 6*a^4*z^6 + 
   3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 44485] -> 
  a^2 + a^6 - a^8 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 4*z^6 - 
   z^6/a^2 - 5*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 44486] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 - 
   (9*z^4)/a^4 - (5*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44487] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (12*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (19*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (13*z^6)/a^4 + (11*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44488] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4 - z^4/a^10 - (2*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44489] -> 
  -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44490] -> a^2 + 3*a^6 - 5*a^8 + 2*a^10 - z^2 + 
   2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   2*a^2*z^4 + 4*a^4*z^4 + a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   5*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 44491] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44492] -> 
  3*a^8 - a^10 - a^14 + a^4*z^2 + 4*a^6*z^2 + 4*a^8*z^2 + 6*a^10*z^2 - 
   2*a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 4*a^8*z^4 + 10*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 8*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 44493] -> 
  a^6 - a^8 + 5*a^10 - 4*a^12 + 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   16*a^10*z^2 - 4*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 
   9*a^8*z^4 + 15*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44494] -> a^6 + 3*a^10 - 3*a^12 + a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 + 9*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 
   3*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 44495] -> a^6 + 3*a^8 - 3*a^10 + 
   3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 14*a^8*z^2 - 6*a^10*z^2 + 4*a^2*z^4 - 
   7*a^4*z^4 - 5*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 
   7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44496] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 3*z^2 + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (8*z^2)/a^4 - a^2*z^2 + 3*z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 44497] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44498] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 - z^2/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 
   17*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44499] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44500] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 + z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44501] -> 
  -a^2 + 2*a^4 + 3*a^8 - 3*a^10 + z^2 - 2*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   9*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 4*a^6*z^4 + 
   7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44502] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 11*z^2 + z^2/a^4 + 5*a^2*z^2 - 
   14*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44503] -> 
  a^(-6) - a^(-2) + a^4 - 5*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 
   a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 44504] -> 
  2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - a^4*z^2 - a^6*z^2 - a^8*z^2 + a^10*z^2 - 
   z^4 - z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - 3*a^8*z^4 + 2*z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44505] -> 
  -9 + 2/a^4 - a^(-2) + 15*a^2 - 6*a^4 - 23*z^2 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   33*a^2*z^2 - 9*a^4*z^2 - 25*z^4 + (9*z^4)/a^4 - (15*z^4)/a^2 + 
   29*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 44506] -> -2/a^12 + 3/a^10 - 3/a^8 + 
   3/a^6 - (2*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 + (6*z^4)/a^10 - 
   (15*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44507] -> 1 + 2/a^4 - 3/a^2 - 2*a^2 + 6*a^4 - 3*a^6 + 
   z^2 + (5*z^2)/a^4 - (9*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 
   2*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 44508] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 - 2*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44509] -> 
  3/a^16 - 7/a^14 + 5/a^10 + (4*z^2)/a^16 - (25*z^2)/a^14 + (13*z^2)/a^12 + 
   (21*z^2)/a^10 - z^4/a^16 - (21*z^4)/a^14 + (32*z^4)/a^12 + (33*z^4)/a^10 + 
   (2*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (25*z^6)/a^12 + (22*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44510] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 + z^2/a^16 - (12*z^2)/a^14 + (5*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + (12*z^4)/a^12 + (19*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 44511] -> 
  2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 4*a^4*z^2 + 10*a^6*z^2 + 17*a^8*z^2 - 
   25*a^10*z^2 + 7*a^12*z^2 - 8*a^4*z^4 + 13*a^6*z^4 + 30*a^8*z^4 - 
   30*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 27*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 44512] -> 
  -6 + a^(-4) + 2/a^2 + 4*a^2 - 17*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44513] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^8 + z^2/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44514] -> 6 - 4/a^2 + 2*a^2 - 3*a^4 + 28*z^2 + 
   (4*z^2)/a^4 - (23*z^2)/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 47*z^4 + 
   (4*z^4)/a^4 - (32*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 37*z^6 + z^6/a^4 - 
   (17*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 44515] -> 
  4 - a^(-4) - a^(-2) + a^2 - 2*a^4 + 15*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 21*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44516] -> 2 - 2/a^4 + 2/a^2 - a^4 + 7*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 - 
   (3*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 - a^4*z^4 + 4*z^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 44517] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 4*z^2 + (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44518] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   z^4 - z^4/a^10 + (2*z^4)/a^8 + z^4/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44519] -> 
  7*a^8 - 8*a^10 + 2*a^12 - 3*a^4*z^2 + 5*a^6*z^2 + 22*a^8*z^2 - 
   19*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 11*a^6*z^4 + 
   24*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 
   13*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 44520] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - 2*a^2*z^2 + 
   2*a^4*z^2 + 9*a^6*z^2 + 3*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 
   2*a^2*z^4 + 4*a^4*z^4 + 11*a^6*z^4 + 3*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 
   4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 44521] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2 + z^2/a^2 - 9*a^2*z^2 + 22*a^4*z^2 - 9*a^6*z^2 - 
   5*z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 29*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 18*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 44522] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 - 2*a^2*z^2 + 11*a^6*z^2 + 5*a^8*z^2 - 
   8*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 3*a^4*z^4 + 14*a^6*z^4 + 
   6*a^8*z^4 - 5*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 7*a^6*z^6 + 4*a^8*z^6, 
 Knot[15, Alternating, 44523] -> 2*a^4 - a^8 - z^2 - z^2/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 
   11*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 9*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44524] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (16*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44525] -> 
  2*a^2 - a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 44526] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   12*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 12*a^2*z^4 - 20*a^4*z^4 + 
   18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44527] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 5*z^2 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 8*z^4 - 
   (4*z^4)/a^6 + (26*z^4)/a^4 - (28*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 44528] -> -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 
   2*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 44529] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 44530] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44531] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 - 
   19*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 44532] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   3*z^2 - z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44533] -> a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 
   a^6*z^4 - z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44534] -> 
  4 - a^(-4) - 2*a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   a^4*z^2 - 5*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 44535] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 6*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 44536] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 7*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 44537] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2/a^2 - 4*a^2*z^2 + 17*a^4*z^2 - 8*a^6*z^2 - 
   3*z^4 + z^4/a^2 - a^2*z^4 + 22*a^4*z^4 - 8*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 44538] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - 
   6*a^2*z^2 + 16*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 44539] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   19*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44540] -> -2*a^2 + 5*a^4 + 2*a^6 - 6*a^8 + 2*a^10 - 
   2*z^2 - 3*a^2*z^2 + 13*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 - a^2*z^4 + 17*a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 12*a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 44541] -> 2*a^4 - 2*a^6 + 5*a^8 - 
   6*a^10 + 2*a^12 - 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 11*a^8*z^2 - 
   12*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 + 
   11*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 44542] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 + 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 
   4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 44543] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 - z^4/a^4 + 
   3*a^2*z^4 - a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44544] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44545] -> 
  a^(-6) - a^(-4) + a^(-2) - a^2 + a^6 + 2*z^2 - z^2/a^8 - (2*z^2)/a^4 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 44546] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 2*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 - 
   3*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + (3*z^4)/a^2 - 14*a^2*z^4 - 
   6*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 11*a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 44547] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (7*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44548] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44549] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44550] -> 7*a^4 - 10*a^6 + 4*a^8 - 2*z^2 + 4*a^2*z^2 + 
   12*a^4*z^2 - 25*a^6*z^2 + 10*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 4*a^4*z^4 - 
   28*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 44551] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 + 
   z^2 - z^2/a^2 + 4*a^2*z^2 - 11*a^6*z^2 + 5*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44552] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 3*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 44553] -> 
  1 - a^2 + 2*a^4 - a^6 - 5*z^2 + (2*z^2)/a^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 6*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 44554] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44555] -> 
  2 + a^(-6) + a^(-4) - 4/a^2 + a^2 - 3*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44556] -> a^(-2) - a^4 + a^6 - 3*z^2 + (2*z^2)/a^2 + 
   a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44557] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44558] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (5*z^2)/a^12 - (25*z^2)/a^10 + (26*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (32*z^4)/a^10 + (49*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (16*z^6)/a^10 + (36*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (13*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 44559] -> -a^(-14) + 4/a^12 - 6/a^10 + 
   a^(-8) + 3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - (10*z^2)/a^10 + z^2/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 - 
   (5*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44560] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 - 
   z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (2*z^4)/a^12 + (9*z^4)/a^10 - (10*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - z^8/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44561] -> 
  -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44562] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44563] -> 1 - a^6 + 2*a^8 - a^10 + z^2/a^4 - z^2/a^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 44564] -> 1 - a^(-6) + 4/a^4 - 3/a^2 - 2*a^2 + 2*a^4 + 
   3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 - z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44565] -> a^(-4) - a^2 + a^6 - z^2/a^8 - z^2/a^6 + 
   z^2/a^4 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 44566] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + z^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   z^4 - a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 44567] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2 - 4*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - 3*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 44568] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 - z^2/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (7*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - (10*z^4)/a^6 - (15*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44569] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 3*z^2 + (4*z^2)/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 - 
   z^4/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44570] -> 3/a^16 - 9/a^14 + 5/a^12 + a^(-10) + 
   a^(-8) + (3*z^2)/a^16 - (25*z^2)/a^14 + (22*z^2)/a^12 + (10*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (20*z^4)/a^14 + (38*z^4)/a^12 + (21*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (26*z^6)/a^12 + (16*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44571] -> 2 + a^(-4) - 2/a^2 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44572] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 12*z^2 + z^2/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44573] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (5*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (11*z^4)/a^8 + (21*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44574] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44575] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (12*z^2)/a^10 + 
   (14*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + 
   (14*z^4)/a^8 + z^4/a^6 - z^4/a^4 + z^6/a^12 - (8*z^6)/a^10 + (8*z^6)/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 44576] -> 
  a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + z^2/a^12 - (4*z^2)/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 + 
   (4*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44577] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (8*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44578] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 17*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44579] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 + 
   2*a^4*z^2 + 5*a^6*z^2 + 6*a^8*z^2 - 13*a^10*z^2 + 5*a^12*z^2 - a^4*z^4 + 
   4*a^6*z^4 + 7*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 
   6*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 44580] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 3*a^6*z^4 - 3*a^8*z^4 - 
   4*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 44581] -> 
  3*a^2 - a^4 - 2*a^6 + a^10 + 3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 10*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44582] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44583] -> 
  3 - a^(-2) - a^2 + 11*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 11*z^4 + (5*z^4)/a^4 - (14*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44584] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44585] -> 5 + 2/a^4 - 5/a^2 - a^2 + 7*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (4*z^4)/a^4 - 
   (12*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 44586] -> a^(-12) - 3/a^10 + 3/a^6 - 
   z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44587] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (20*z^4)/a^8 + (18*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (12*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 44588] -> a^(-14) - 3/a^12 + a^(-10) + 
   2/a^6 - (6*z^2)/a^12 + (9*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (12*z^4)/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^6)/a^12 + (3*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44589] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (12*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (15*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (10*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44590] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - z^4 + (3*z^4)/a^4 + 
   6*a^4*z^4 - z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 44591] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 
   14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44592] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44593] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   7*z^2 + z^2/a^6 + z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   z^6/a^6 - z^6/a^4 - (10*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 44594] -> 
  a^2 - a^4 + 5*a^6 - 6*a^8 + 2*a^10 - 4*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 
   21*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 23*a^4*z^4 + 
   27*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 16*a^4*z^6 + 
   15*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44595] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^2 - (3*z^4)/a^10 + 
   (15*z^4)/a^8 - (12*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (9*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44596] -> 3*a^8 - 2*a^12 + a^4*z^2 + 3*a^6*z^2 + 
   5*a^8*z^2 + 8*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 - 
   2*a^8*z^4 + 12*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 7*a^8*z^6 + 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44597] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 + 3*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 4*a^2*z^4 - 7*a^4*z^4 - 
   4*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 7*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44598] -> 
  3 - a^(-2) - a^2 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44599] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44600] -> a^4 + 3*a^6 - 4*a^8 + a^10 + a^2*z^2 - 
   2*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   2*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 44601] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 + 7*a^6*z^2 + 
   5*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + a^4*z^4 + 8*a^6*z^4 + 
   4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 44602] -> 2*a^4 - a^8 - z^2 + 3*a^2*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - z^4/a^2 + 6*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 + 
   3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44603] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44604] -> -6 - 2/a^6 + 5/a^4 + 4*a^2 - 13*z^2 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (13*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + z^4/a^6 + (15*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 44605] -> 
  -3 - a^(-6) + 2/a^4 + 2/a^2 - a^2 + 2*a^4 - 6*z^2 - z^2/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 44606] -> 
  2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 4*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 44607] -> 1 + a^6 - 2*a^8 + a^10 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   3*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44608] -> 
  2 - 2/a^8 + 5/a^6 - 3/a^4 - a^(-2) + 4*z^2 - z^2/a^10 + z^2/a^8 + 
   (8*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44609] -> 2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44610] -> 
  -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 - 2*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[15, Alternating, 44611] -> 
  -1 + 2/a^2 - a^2 + a^6 - z^2 - z^2/a^8 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 
   a^2*z^4, Knot[15, Alternating, 44612] -> 2*a^2 - a^4 - a^6 + 2*a^8 - 
   a^10 - z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + z^6 + 
   2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 44613] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 44614] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - (2*z^4)/a^4 + z^4/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44615] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 6*z^2 + (2*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 + (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6, 
 Knot[15, Alternating, 44616] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + 2*a^2*z^2 + 
   3*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 4*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 44617] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^6 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44618] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 + (3*z^4)/a^8 - 
   (6*z^4)/a^6 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   z^6/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 44619] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 - 
   z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 44620] -> 
  a^2 + a^4 - a^6 + 3*z^2 - (2*z^2)/a^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 44621] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 44622] -> a^6 + 2*a^8 - 3*a^10 + 3*a^12 - 
   2*a^14 + 2*a^2*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 5*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   a^6*z^6 - a^8*z^6 - a^10*z^6, Knot[15, Alternating, 44623] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 + 2*a^2*z^4 + 3*a^6*z^4 - 
   z^6 - a^2*z^6 - a^4*z^6, Knot[15, Alternating, 44624] -> 
  2*a^6 - a^8 + a^10 - a^14 + z^2 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 
   2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 - 
   a^10*z^4, Knot[15, Alternating, 44625] -> a^2 + a^4 - a^6 - z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44626] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44627] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 44628] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^6 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 5*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 44629] -> 1 - 2/a^4 + 3/a^2 - a^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44630] -> 
  -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 44631] -> 2*a^2 - a^4 - 3*z^2 + 5*a^2*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 44632] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   4*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 
   3*z^4 + z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   z^6/a^4 - z^6/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 44633] -> -1 + 5*a^2 - 4*a^4 + a^6 - 3*z^2 - z^2/a^2 + 
   12*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   16*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 44634] -> -2 + a^(-6) + a^2 + a^4 - 
   7*z^2 - z^2/a^6 + z^2/a^4 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44635] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44636] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (5*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 44637] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44638] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 
   16*z^4 - (2*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44639] -> 2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + 
   z^2/a^16 - (14*z^2)/a^14 + (5*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - 
   (2*z^4)/a^16 - (10*z^4)/a^14 + (21*z^4)/a^12 + (23*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44640] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (9*z^2)/a^14 - (3*z^2)/a^12 + (18*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (11*z^4)/a^12 + 
   (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (12*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 44641] -> a^(-16) - 2/a^14 - a^(-12) + 
   3/a^8 - (5*z^2)/a^14 - z^2/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (5*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 44642] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - (15*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (9*z^6)/a^6 - (14*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44643] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - 
   z^4/a^6 - (9*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44644] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 12*z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 + (22*z^2)/a^2 - 13*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (15*z^4)/a^4 + (29*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44645] -> -2/a^6 + a^(-4) + 3/a^2 - a^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44646] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) + (4*z^2)/a^12 - 
   (11*z^2)/a^10 + (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (16*z^4)/a^10 + (6*z^4)/a^8 + (18*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^10 + (8*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44647] -> a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 + (7*z^2)/a^6 + z^4/a^12 - 
   (5*z^4)/a^10 - z^4/a^8 + (8*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44648] -> 
  4*a^4 - 4*a^6 + a^8 - z^2 - a^2*z^2 + 13*a^4*z^2 - 13*a^6*z^2 + 4*a^8*z^2 - 
   3*z^4 + 4*a^2*z^4 + 12*a^4*z^4 - 17*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   7*a^2*z^6 + 2*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44649] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + 4*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 
   2*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44650] -> 
  1 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 44651] -> -1 - 2/a^4 + 4/a^2 + z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 4*z^4 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 44652] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44653] -> 7 - 2/a^4 - 4*a^2 + 22*z^2 - (4*z^2)/a^4 - 
   z^2/a^2 - 11*a^2*z^2 + 28*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 44654] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 10*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + 4*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44655] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (8*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44656] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 10*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44657] -> 
  a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 - z^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   21*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 15*a^4*z^4 + 
   24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44658] -> a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + 
   2*a^2*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + a^2*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44659] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + 2*z^2 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + 
   z^4/a^8 - (2*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44660] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 44661] -> 
  4*a^6 - 3*a^8 + 8*a^6*z^2 - 2*a^10*z^2 + 2*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 44662] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + z^2/a^16 - (20*z^2)/a^14 + 
   (15*z^2)/a^12 + (16*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (14*z^4)/a^14 + (31*z^4)/a^12 + (27*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 44663] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 8*z^2 - (4*z^2)/a^2 + 5*a^2*z^2 - 
   11*a^4*z^2 + 4*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44664] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   16*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44665] -> 5/a^16 - 14/a^14 + 8/a^12 + 2/a^10 + 
   (6*z^2)/a^16 - (41*z^2)/a^14 + (38*z^2)/a^12 + (11*z^2)/a^10 - 
   (2*z^4)/a^16 - (37*z^4)/a^14 + (71*z^4)/a^12 + (21*z^4)/a^10 - 
   (4*z^6)/a^16 - (8*z^6)/a^14 + (59*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 44666] -> 3/a^16 - 7/a^14 + 5/a^10 + 
   (2*z^2)/a^16 - (19*z^2)/a^14 + (9*z^2)/a^12 + (19*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (12*z^4)/a^14 + (22*z^4)/a^12 + 
   (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44667] -> 3/a^16 - 8/a^14 + 3/a^12 + 2/a^10 + a^(-8) + 
   (2*z^2)/a^16 - (21*z^2)/a^14 + (17*z^2)/a^12 + (10*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (13*z^4)/a^14 + (29*z^4)/a^12 + 
   (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (19*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44668] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 - (9*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (17*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 44669] -> 
  -a^6 + 11*a^8 - 13*a^10 + 4*a^12 - 2*a^4*z^2 - 3*a^6*z^2 + 41*a^8*z^2 - 
   37*a^10*z^2 + 8*a^12*z^2 - 7*a^4*z^4 + a^6*z^4 + 56*a^8*z^4 - 
   39*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 7*a^6*z^6 + 39*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 44670] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 4*a^4*z^2 + 13*a^6*z^2 + 7*a^8*z^2 - 
   13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 18*a^6*z^4 + 
   9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 44671] -> -a^4 + 5*a^6 - 5*a^10 + 2*a^12 - a^2*z^2 - 
   3*a^4*z^2 + 16*a^6*z^2 + 3*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 20*a^6*z^4 + 7*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 44672] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^2*z^2 + 3*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 
   9*a^6*z^4 - 3*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 44673] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 + z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^6 - 
   (16*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 44674] -> a^(-2) + a^2 - 5*a^4 + 6*a^6 - 
   2*a^8 - 4*z^2 + z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 5*z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 44675] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 7*a^2*z^2 - 
   18*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - a^2*z^4 - 17*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 44676] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 
   6*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44677] -> 2 - 2*a^2 + a^4 + z^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44678] -> 
  -4 + a^(-4) + a^(-2) + 5*a^2 - 4*a^4 + 2*a^6 - 13*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + 15*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 44679] -> 
  4*a^6 - a^8 - 4*a^10 + 2*a^12 + 11*a^6*z^2 - 2*a^8*z^2 - 9*a^10*z^2 + 
   4*a^12*z^2 - 3*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 12*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 9*a^6*z^6 + 3*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 44680] -> a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44681] -> 2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 + 3*a^4*z^2 + 
   6*a^6*z^2 - 10*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   6*a^6*z^4 - 8*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44682] -> 5*a^2 - 7*a^4 + 4*a^6 - 2*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 21*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 44683] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 4*a^2*z^2 + 10*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 
   3*z^4 - 7*a^2*z^4 + 6*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   8*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 44684] -> -1 + a^2 + 3*a^4 - a^6 - a^8 - z^2 + 
   a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 2*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44685] -> 
  -2 + 4*a^2 + a^4 - 2*a^6 - 3*z^2 + 5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + (2*z^4)/a^2 + 7*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44686] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 16*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44687] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 + z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 44688] -> 
  -a^(-4) + 2/a^2 - (3*z^2)/a^10 + (13*z^2)/a^8 - (11*z^2)/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (23*z^4)/a^8 - (29*z^4)/a^6 - 
   (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (28*z^6)/a^6 - 
   (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 44689] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   12*z^4 - (2*z^4)/a^6 + (13*z^4)/a^4 - (14*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (12*z^6)/a^4 - (21*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 44690] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   z^2/a^4 + 24*a^2*z^2 - 9*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   27*a^2*z^4 - 9*a^4*z^4 + 2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 16*a^2*z^6 - 
   5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44691] -> -1 + 4*a^2 - 2*a^4 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44692] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + 
   z^2/a^8 + z^2/a^6 - (5*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44693] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 44694] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + z^2/a^12 + (4*z^2)/a^10 - (14*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (3*z^4)/a^10 - (15*z^4)/a^8 + (14*z^4)/a^6 - 
   (3*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 44695] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (2*z^4)/a^10 - 
   (5*z^4)/a^8 + z^4/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44696] -> -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (8*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (3*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44697] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44698] -> -1 + 3*a^2 - a^6 - 6*z^2 + 10*a^2*z^2 + 
   3*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 11*a^4*z^4 - 
   6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 44699] -> a^2 + a^4 - a^6 + z^2 - (2*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 44700] -> 
  -2 + 6*a^2 - 3*a^4 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 12*a^2*z^2 - 
   4*a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - 
   7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 44701] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 + 3*a^2*z^4 + a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 44702] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44703] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (17*z^4)/a^8 + 
   (11*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + 
   (10*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 44704] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (8*z^4)/a^6 - (19*z^4)/a^4 + 
   (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44705] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 
   2/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 - (11*z^2)/a^8 + (11*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (19*z^4)/a^8 + 
   (15*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + 
   (11*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 44706] -> 
  a^2 - a^4 + 6*a^6 - 8*a^8 + 3*a^10 - a^4*z^2 + 16*a^6*z^2 - 21*a^8*z^2 + 
   7*a^10*z^2 - 6*a^2*z^4 + 6*a^4*z^4 + 17*a^6*z^4 - 24*a^8*z^4 + 
   5*a^10*z^4 - 5*a^2*z^6 + 11*a^4*z^6 + 13*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - 
   a^2*z^8 + 6*a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 44707] -> a^2 + a^4 + a^6 - 4*a^8 + 2*a^10 - a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 + 
   8*a^4*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 7*a^4*z^6 + 
   2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 44708] -> a^2 + 3*a^4 - 4*a^6 + a^10 - 2*z^2 + 
   2*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 - 3*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   3*a^2*z^4 + 9*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 44709] -> -1 + a^(-2) + 3*a^2 - 6*a^4 + 
   6*a^6 - 2*a^8 - 7*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - 17*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (4*z^4)/a^2 + 11*a^2*z^4 - 23*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 44710] -> a^(-2) - 2*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 - 4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 44711] -> 
  2*a^8 + 3*a^10 - 5*a^12 + a^14 + 4*a^6*z^2 + 3*a^8*z^2 + 12*a^10*z^2 - 
   4*a^12*z^2 - 3*a^14*z^2 + 8*a^6*z^4 - a^8*z^4 + 11*a^10*z^4 + 9*a^12*z^4 - 
   4*a^14*z^4 + 5*a^6*z^6 - 7*a^8*z^6 - a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + 
   a^6*z^8 - 5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 44712] -> 4*a^8 - 2*a^10 - a^12 + 2*a^4*z^2 + 
   10*a^8*z^2 + a^10*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 4*a^8*z^4 + 5*a^10*z^4 + 
   4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 4*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 44713] -> 
  a^6 - a^8 + 6*a^10 - 6*a^12 + a^14 + a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 
   20*a^10*z^2 - 7*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 6*a^6*z^4 - 
   11*a^8*z^4 + 18*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   11*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44714] -> a^6 + a^8 + a^10 - 2*a^12 + 3*a^4*z^2 + 
   a^6*z^2 + 4*a^8*z^2 + 6*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 
   4*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 44715] -> 
  -2*a^4 + 8*a^6 - 5*a^8 + 4*a^2*z^2 - 11*a^4*z^2 + 20*a^6*z^2 - 3*a^8*z^2 - 
   2*a^10*z^2 + 6*a^2*z^4 - 17*a^4*z^4 + 14*a^6*z^4 + 6*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44716] -> -4 + a^(-6) + a^(-4) - a^(-2) + 4*a^2 - 
   18*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44717] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 - z^4/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44718] -> 
  2*a^2 - a^4 - 3*z^2 + 5*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 44719] -> 
  7 - 3/a^2 - 3*a^2 + 13*z^2 + (2*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 7*z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 
   3*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44720] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   12*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 5*z^4 + 15*a^2*z^4 - 
   15*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 44721] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 10*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^4*z^4 + 
   8*a^6*z^4 - 7*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 44722] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   6*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 44723] -> 
  -3 - 4/a^4 + 8/a^2 - 13*z^2 - (3*z^2)/a^6 - (3*z^2)/a^4 + (21*z^2)/a^2 + 
   2*a^2*z^2 - 16*z^4 - (6*z^4)/a^6 + (7*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44724] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   15*z^2 - z^2/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (3*z^6)/a^4 - (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44725] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (7*z^4)/a^6 - (13*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44726] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (18*z^4)/a^8 + (16*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (11*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 44727] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   4/a^8 + 5/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - (8*z^2)/a^10 - 
   (11*z^2)/a^8 + (10*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (15*z^4)/a^10 - (16*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44728] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 - z^2/a^14 + (7*z^2)/a^12 - 
   (5*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (6*z^4)/a^10 - (7*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44729] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44730] -> 8 - 3/a^2 - 4*a^2 - a^4 + a^6 + 16*z^2 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 8*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 15*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44731] -> 6*a^8 - 7*a^10 + 3*a^12 - a^14 + 2*a^4*z^2 - 
   a^6*z^2 + 16*a^8*z^2 - 10*a^10*z^2 + 5*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 - 
   3*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 5*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 44732] -> -1 + a^(-2) + a^2 - a^4 + 
   2*a^6 - a^8 - 7*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44733] -> 
  -4*a^4 + 13*a^6 - 9*a^8 + a^10 + 4*a^2*z^2 - 16*a^4*z^2 + 32*a^6*z^2 - 
   9*a^8*z^2 - 2*a^10*z^2 + 8*a^2*z^4 - 23*a^4*z^4 + 25*a^6*z^4 + 4*a^8*z^4 - 
   3*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 + 4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44734] -> -2*a^2 + 5*a^4 - a^6 - a^10 + 2*z^2 - 
   6*a^2*z^2 + 10*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   7*a^2*z^4 + 5*a^4*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44735] -> a^(-6) + a^(-4) - 2/a^2 - a^2 + 2*a^4 + 
   z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 44736] -> 1 - z^2/a^2 + 2*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 + z^4 + z^4/a^2 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44737] -> 2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - 2*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 44738] -> 
  3*a^2 - 3*a^4 + 2*a^8 - a^10 + 5*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + a^10*z^2 - 2*z^4 + 2*a^2*z^4 - a^4*z^4 - 8*a^6*z^4 - 
   2*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 44739] -> 
  -2 - 3/a^4 + 6/a^2 + z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44740] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 
   21*a^2*z^2 - 18*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   25*a^2*z^4 - 19*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 44741] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 
   7*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - 7*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 - a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44742] -> -a^(-10) + 6/a^8 - 8/a^6 + a^(-4) + 3/a^2 - 
   (4*z^2)/a^10 + (19*z^2)/a^8 - (22*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^10 + (21*z^4)/a^8 - (18*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 - z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44743] -> 1 - a^(-10) + 5/a^8 - 5/a^6 - a^(-4) + 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + z^4/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44744] -> 2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - 
   (3*z^2)/a^6 + (12*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (5*z^4)/a^6 + (15*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44745] -> 4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 14*z^2 - 
   (4*z^2)/a^2 - 14*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 17*z^4 - (5*z^4)/a^2 - 
   13*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44746] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   4*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44747] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^2 + 
   6*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44748] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 - (2*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 44749] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 44750] -> 
  2/a^16 - 4/a^14 - 3/a^12 + 6/a^10 + z^2/a^16 - (15*z^2)/a^14 + 
   (4*z^2)/a^12 + (22*z^2)/a^10 + z^2/a^8 - (2*z^4)/a^16 - (12*z^4)/a^14 + 
   (21*z^4)/a^12 + (34*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (19*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 44751] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - (24*z^4)/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 44752] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 - 3*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - z^4/a^2 + 3*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 44753] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44754] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 6*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (2*z^6)/a^4 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, Knot[15, Alternating, 44755] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44756] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 44757] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - z^4/a^6 - (19*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44758] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^6 + (4*z^6)/a^4 + 
   (5*z^6)/a^2, Knot[15, Alternating, 44759] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 3*z^2 + (2*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44760] -> -5 + a^(-6) + a^(-2) + 4*a^2 - 16*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44761] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - z^2/a^14 + (8*z^2)/a^10 - 
   (11*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (6*z^4)/a^10 - (18*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 44762] -> -1 + a^(-6) - a^2 + 2*a^4 - 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 44763] -> -a^(-6) + 4/a^4 - 3/a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44764] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + (11*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 - (22*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (4*z^6)/a^6 - (16*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44765] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 7*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (17*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + 
   (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (4*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 44766] -> -3 - 2/a^6 + 6/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (13*z^4)/a^6 + (15*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + 
   (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 44767] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 14*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (2*z^4)/a^4 + z^4/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44768] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 - 
   (7*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (11*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44769] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44770] -> -2 + 2/a^8 - 2/a^6 - 5/a^4 + 8/a^2 - 5*z^2 + 
   (5*z^2)/a^8 - (7*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44771] -> 2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 
   3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 44772] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   5*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44773] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44774] -> 
  -2 + 2/a^2 + a^4 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + 
   (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 44775] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 15*z^2 + z^2/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 18*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 44776] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (10*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44777] -> 
  -a^(-8) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (8*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 44778] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 
   15*a^4*z^2 - 17*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 12*a^4*z^4 - 
   19*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 - 12*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 44779] -> 2*a^2 - 2*a^6 + a^8 - z^2 - 
   z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44780] -> 2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 
   9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 44781] -> 1 - z^2 - z^2/a^6 + (3*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 44782] -> 
  1 - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   8*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44783] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44784] -> a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 44785] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   7*z^2 - z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   7*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44786] -> 
  a^(-2) - a^4 + a^6 - 8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44787] -> -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 
   3/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - (10*z^2)/a^10 + (2*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (14*z^4)/a^10 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (7*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44788] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44789] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + 
   z^2/a^16 - (10*z^2)/a^14 + (5*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + (11*z^4)/a^12 + (15*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 44790] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - 
   (5*z^2)/a^10 + (10*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (5*z^4)/a^10 + (5*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44791] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44792] -> -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 + 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^6 - z^4/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44793] -> 4 - a^(-2) - 3*a^2 + a^4 + 7*z^2 - 
   (2*z^2)/a^4 - 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44794] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (11*z^4)/a^8 - (11*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44795] -> 
  2 + a^(-4) - 2/a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44796] -> 
  -3 + a^(-2) + 6*a^2 - 5*a^4 + 3*a^6 - a^8 - 12*z^2 + (3*z^2)/a^2 + 
   19*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 44797] -> 4*a^6 - 3*a^8 + z^2 - 
   3*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44798] -> -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 
   5*z^2 - z^2/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 4*z^4 - 
   z^4/a^8 - z^4/a^6 + (3*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 44799] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 44800] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (12*z^2)/a^10 - z^2/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (15*z^4)/a^10 - (6*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44801] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + z^2/a^16 - (13*z^2)/a^14 + 
   (7*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (6*z^4)/a^14 + (14*z^4)/a^12 + (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 44802] -> a^(-12) - 2/a^10 + 2/a^4 - z^2/a^14 + 
   (3*z^2)/a^12 - z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - z^4/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44803] -> a^(-12) - 2/a^10 + 2/a^4 - z^2/a^14 + 
   (4*z^2)/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^12 - (3*z^4)/a^10 - (10*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 44804] -> 1 - 2/a^10 + 4/a^8 - 3/a^6 + 
   2/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + (7*z^4)/a^8 - (12*z^4)/a^6 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44805] -> 1 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 44806] -> 3 - a^(-4) - a^4 + 3*z^2 - 
   z^2/a^4 + 6*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44807] -> 2 - a^2 - a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44808] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 
   z^2 + z^2/a^12 - (4*z^2)/a^10 + z^2/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 - z^4 - (4*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 44809] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 44810] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - z^4 - (4*z^4)/a^8 + z^4/a^6 + (10*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 44811] -> -1 - a^(-6) + 2/a^4 + a^2 - z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 44812] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 - 5*z^2 + 16*a^2*z^2 - 20*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 44813] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 44814] -> 
  3 + 2/a^8 - 3/a^6 - a^2 + 6*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44815] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^2 - a^4 + a^6 - z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 44816] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44817] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 + 9*a^6*z^2 + 
   4*a^8*z^2 - 13*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 + 12*a^6*z^4 + 
   4*a^8*z^4 - 15*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 
   5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 44818] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^4*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 8*a^6*z^4 - 7*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 44819] -> 
  4*a^2 - 4*a^4 + a^6 - a^8 + a^10 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   10*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 19*a^4*z^4 + 
   18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 44820] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - (2*z^2)/a^4 + 
   z^2/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44821] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^6 + z^4/a^4 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 44822] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (15*z^2)/a^14 + 
   (9*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (7*z^4)/a^14 + 
   (16*z^4)/a^12 + (23*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (8*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 44823] -> -4 - 3/a^4 + 6/a^2 + 4*a^2 - 2*a^4 - 8*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + z^4/a^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 44824] -> 1 - a^(-6) + a^(-4) + a^2 - 
   a^4 + 3*z^2 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44825] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 
   13*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 + 9*a^2*z^4 - 
   17*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 2*a^2*z^6 - 11*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 44826] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44827] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44828] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44829] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   z^4/a^10 + (2*z^4)/a^8 - z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44830] -> -a^(-12) + 3/a^10 - 5/a^8 + 4/a^6 - a^(-4) + 
   a^(-2) - (3*z^2)/a^12 + (13*z^2)/a^10 - (21*z^2)/a^8 + (20*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (27*z^4)/a^8 + 
   (27*z^4)/a^6 - (14*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (17*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 44831] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 44832] -> 4 + 2/a^8 - 3/a^6 + a^(-4) - 
   2/a^2 - a^2 + 6*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 44833] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 16*z^2 + (2*z^2)/a^4 + z^2/a^2 + 17*a^2*z^2 - 
   5*a^4*z^2 - 16*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 
   11*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44834] -> a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44835] -> -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 12*z^2 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 44836] -> -2 + a^(-4) + 2*a^2 - 3*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 44837] -> 5*a^6 - 4*a^8 - a^10 + a^12 + 
   a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 9*a^6*z^4 - 6*a^8*z^4 - 4*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 6*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44838] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 5*a^4*z^2 + 
   a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 4*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 44839] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + 
   a^10 + 7*a^2*z^2 - 17*a^4*z^2 + 18*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 9*a^2*z^4 - 23*a^4*z^4 + 20*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 44840] -> 
  1 + 2*z^2 - 3*a^2*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44841] -> 
  1 + 2*a^2 - 3*a^4 + a^6 - a^8 + a^10 + 2*z^2 - z^2/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44842] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 8*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 + 7*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 44843] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 44844] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (2*z^4)/a^10 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 44845] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 + z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (12*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44846] -> 3 - 2/a^2 + 3*a^2 - 4*a^4 + a^6 + 2*z^2 - 
   (3*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - (3*z^4)/a^2 + 
   20*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44847] -> 3/a^16 - 8/a^14 + 2/a^12 + 
   4/a^10 + (3*z^2)/a^16 - (23*z^2)/a^14 + (14*z^2)/a^12 + (19*z^2)/a^10 + 
   z^2/a^8 - z^4/a^16 - (19*z^4)/a^14 + (31*z^4)/a^12 + (31*z^4)/a^10 + 
   (3*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (24*z^6)/a^12 + (21*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44848] -> a^(-14) - 3/a^12 + 3/a^8 - a^(-6) + a^(-4) - 
   z^2/a^14 - (2*z^2)/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44849] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44850] -> -3 + a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + a^8 - 
   4*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^6*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 6*a^4*z^4 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 44851] -> a^4 + 4*a^6 - 6*a^8 + 2*a^10 + 2*a^4*z^2 + 
   10*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 
   11*a^6*z^4 - 12*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 44852] -> 5*a^2 - 6*a^4 + 2*a^6 - a^8 + a^10 - 2*z^2 + 
   10*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 20*a^4*z^4 + 18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 44853] -> 
  2 - 2*a^4 + a^6 - a^8 + a^10 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44854] -> 3/a^12 - 9/a^10 + 6/a^8 + a^(-6) - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (25*z^2)/a^10 + (16*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^4)/a^14 + (23*z^4)/a^12 - (33*z^4)/a^10 + 
   (12*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (27*z^6)/a^10 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 44855] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44856] -> 
  4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + (5*z^2)/a^16 - (34*z^2)/a^14 + 
   (30*z^2)/a^12 + (13*z^2)/a^10 + z^2/a^8 - z^4/a^16 - (25*z^4)/a^14 + 
   (46*z^4)/a^12 + (25*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (29*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 44857] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (12*z^2)/a^14 + 
   (2*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + 
   (11*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 44858] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (12*z^2)/a^2 - 
   5*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (23*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44859] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 44860] -> 1 - 2*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   4*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   9*a^2*z^4 - 19*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 44861] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44862] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - z^2/a^14 - (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44863] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 + z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44864] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 6*z^2 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (14*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44865] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 44866] -> 
  -3/a^4 + 5/a^2 - a^2 + z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (10*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (7*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 44867] -> 
  -1 - a^(-6) + 3/a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - (3*z^4)/a^8 + (6*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 44868] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 + 
   z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (3*z^4)/a^8 + (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 44869] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 44870] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + (5*z^2)/a^8 - (13*z^2)/a^6 + 
   (3*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + 
   (7*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44871] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (5*z^4)/a^8 - (4*z^4)/a^6 + 
   (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 44872] -> 1 + 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   7*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 14*a^2*z^4 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 44873] -> 1 - a^2 + 2*a^4 - a^6 + a^2*z^2 + a^4*z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44874] -> 
  a^4 + a^6 - a^10 + a^2*z^2 + 2*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 
   2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 
   5*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44875] -> 2*a^4 - a^6 + a^8 - a^10 + z^2 - 2*a^2*z^2 + 
   4*a^4*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + z^4 - 2*a^2*z^4 + a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44876] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - z^2/a^14 - (3*z^2)/a^12 + 
   (8*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (4*z^4)/a^12 + (8*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - z^6/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44877] -> 
  -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 12*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 14*z^4 + (5*z^4)/a^4 - (5*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 44878] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (7*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 44879] -> -4 + 2/a^2 + 4*a^2 - a^4 - 10*z^2 + 
   z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 44880] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 - 
   3*z^2 + 12*a^2*z^2 - 20*a^4*z^2 + 14*a^6*z^2 - 4*a^8*z^2 + 8*a^2*z^4 - 
   19*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 2*a^2*z^6 - 11*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 44881] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 44882] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 
   2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 44883] -> 5*a^6 - 4*a^8 - a^10 + a^12 + 
   a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 8*a^10*z^2 + 4*a^12*z^2 - a^4*z^4 + 
   6*a^6*z^4 + 3*a^8*z^4 - 13*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 5*a^6*z^6 + 
   5*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 4*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 44884] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 4*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 4*a^8*z^4 - 4*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 44885] -> 
  -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44886] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 9*z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (11*z^2)/a^4 + (24*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 - (5*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44887] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - 
   (6*z^4)/a^10 - (10*z^4)/a^8 + (15*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 - z^6/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44888] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44889] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 9*z^2 + 25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   4*z^4 - (2*z^4)/a^2 + 26*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 44890] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + 7*z^4 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 44891] -> -a^(-12) + 2/a^10 - a^(-8) - 
   a^(-4) + 2/a^2 - (3*z^2)/a^12 + (12*z^2)/a^10 - (12*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - 
   (21*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (14*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 44892] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 19*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 - 6*z^4 - z^4/a^2 + 20*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 12*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44893] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 - 
   a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^4 - z^4/a^2 - 5*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44894] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   14*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 44895] -> a^2 - a^4 + 6*a^6 - 8*a^8 + 3*a^10 - 
   2*a^2*z^2 + 3*a^4*z^2 + 14*a^6*z^2 - 21*a^8*z^2 + 7*a^10*z^2 - 7*a^2*z^4 + 
   10*a^4*z^4 + 16*a^6*z^4 - 24*a^8*z^4 + 5*a^10*z^4 - 5*a^2*z^6 + 
   12*a^4*z^6 + 13*a^6*z^6 - 12*a^8*z^6 + a^10*z^6 - a^2*z^8 + 6*a^4*z^8 + 
   6*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 44896] -> a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - 2*z^2 + 
   2*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 5*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   2*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 7*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 8*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 44897] -> 2*a^8 + a^10 - a^12 - a^14 + 
   3*a^6*z^2 + 8*a^8*z^2 + 2*a^10*z^2 + 7*a^12*z^2 - 6*a^14*z^2 + 7*a^6*z^4 + 
   5*a^8*z^4 + 17*a^12*z^4 - 5*a^14*z^4 + 5*a^6*z^6 - 5*a^8*z^6 - 
   6*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 44898] -> 
  3*a^8 - a^10 - a^14 + a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 + 3*a^10*z^2 + 
   3*a^12*z^2 - 3*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 + 4*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 5*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44899] -> 4*a^8 - 3*a^10 + a^12 - a^14 + 2*a^4*z^2 + 
   a^6*z^2 + 9*a^8*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 3*a^8*z^4 + 
   4*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 4*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44900] -> a^6 - a^8 + 6*a^10 - 6*a^12 + a^14 + 
   2*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 20*a^10*z^2 - 8*a^12*z^2 - a^14*z^2 + 
   3*a^4*z^4 + 4*a^6*z^4 - 11*a^8*z^4 + 18*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 44901] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 + 3*a^2*z^2 - 7*a^4*z^2 + 12*a^6*z^2 + 
   4*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 6*a^6*z^4 + 12*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44902] -> 3*a^6 - a^8 - a^10 + z^2 - a^4*z^2 + 
   6*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 + 
   3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 44903] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44904] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 9*z^2 - 
   (5*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44905] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 6*z^2 - 
   (5*z^2)/a^2 + 12*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 11*z^4 - (6*z^4)/a^2 + 
   15*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 44906] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 
   10*z^2 - (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   10*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 44907] -> 4*a^8 - 3*a^10 + a^12 - a^14 + 
   a^4*z^2 + 2*a^6*z^2 + 10*a^8*z^2 - a^10*z^2 + 2*a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 2*a^6*z^4 + 5*a^8*z^4 + 3*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 44908] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 + 
   3*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 
   13*a^4*z^4 + 6*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 44909] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 + z^2 - 
   a^2*z^2 + a^4*z^2 + 7*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44910] -> 3*a^2 - 2*a^4 - a^6 + a^8 + z^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 2*a^10*z^2 - z^4 - a^2*z^4 - 
   5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 4*a^4*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 44911] -> 
  a^4 + a^6 - a^10 + 5*a^4*z^2 + a^8*z^2 - a^10*z^2 + a^12*z^2 - a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 44912] -> 4/a^16 - 11/a^14 + 5/a^12 + 
   3/a^10 + (4*z^2)/a^16 - (28*z^2)/a^14 + (20*z^2)/a^12 + (17*z^2)/a^10 + 
   z^2/a^8 - z^4/a^16 - (21*z^4)/a^14 + (35*z^4)/a^12 + (30*z^4)/a^10 + 
   (3*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (25*z^6)/a^12 + (21*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 44913] -> 4 - 2/a^4 + a^(-2) - a^2 - a^4 + 6*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 44914] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 
   (6*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44915] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 18*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44916] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 44917] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + a^4 + 
   4*z^2 + (6*z^2)/a^4 - (11*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   z^4/a^6 + (3*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 44918] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - 
   a^(-6) + 2/a^4 - z^2/a^14 + (5*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (4*z^4)/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 44919] -> 
  1 - a^(-10) + 3/a^8 - 4/a^6 + 3/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (7*z^4)/a^8 - (9*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 44920] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 44921] -> 2*a^2 - 2*a^6 + a^8 - 2*z^2 + 6*a^2*z^2 - 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4/a^2 + 8*a^2*z^4 - 8*a^4*z^4 + 
   a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 44922] -> 3 - a^(-2) - a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 44923] -> a^4 + 2*a^6 - 2*a^8 + 
   7*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 
   10*a^6*z^4 + 4*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 + 
   4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 44924] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2 - 
   z^2/a^2 - 5*a^2*z^2 + a^6*z^2 + z^4 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   2*z^6 - z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44925] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 9*z^2 + 
   (5*z^2)/a^4 - (8*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   (6*z^4)/a^4 - (11*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 44926] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 + (5*z^2)/a^8 - (7*z^2)/a^6 - 
   (11*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (11*z^4)/a^6 - 
   (15*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 44927] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 15*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44928] -> 
  -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 9*z^2 + (2*z^2)/a^2 + 24*a^2*z^2 - 
   29*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 28*a^2*z^4 - 
   32*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 17*a^2*z^6 - 
   16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 44929] -> 3*a^2 - 4*a^4 + 5*a^6 - 5*a^8 + 2*a^10 - 
   2*z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 20*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 44930] -> 
  1 + a^4 - a^6 - a^8 + a^10 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44931] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 12*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (16*z^2)/a^4 + (32*z^2)/a^2 - 11*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 - (6*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44932] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   14*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 44933] -> -3 - 2/a^6 + 3/a^4 + 2/a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44934] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - 
   (7*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44935] -> -2 + a^(-4) + 2*a^2 - 7*z^2 + z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 44936] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - (3*z^2)/a^14 + (12*z^2)/a^12 - 
   (11*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (16*z^4)/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44937] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - z^2/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 44938] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 - z^2/a^14 + (5*z^2)/a^12 - z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (9*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 44939] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44940] -> 2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 
   5*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 44941] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   10*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 44942] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 20*z^2 + z^2/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   16*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 44943] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 44944] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - 
   (10*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 44945] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44946] -> 
  -3/a^8 + 4/a^6 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - z^4/a^10 - (5*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44947] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (2*z^4)/a^10 - (8*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44948] -> -3 - 2/a^4 + 5/a^2 + a^2 - 9*z^2 - 
   z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^2 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44949] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (2*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 44950] -> 
  a^2 + a^4 + a^6 - 4*a^8 + 2*a^10 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 - 8*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + 7*a^4*z^4 - 
   7*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 7*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 44951] -> 
  2*a^2 - a^6 - a^8 + a^10 - z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 44952] -> a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + 
   a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 + 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 
   2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 44953] -> 
  a^6 + a^8 + a^10 - 2*a^12 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 + 
   5*a^10*z^2 - a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 
   4*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 44954] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   2*z^2 + (3*z^2)/a^8 - z^2/a^6 - z^2/a^4 + z^4 - z^4/a^10 + z^4/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44955] -> -1 - a^(-2) + 10*a^2 - 10*a^4 + 3*a^6 + 
   6*z^2 - (6*z^2)/a^2 + 18*a^2*z^2 - 22*a^4*z^2 + 6*a^6*z^2 + 17*z^4 - 
   (9*z^4)/a^2 + 16*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 44956] -> 
  2*a^8 + 5*a^10 - 10*a^12 + 5*a^14 - a^16 + 4*a^6*z^2 + 2*a^8*z^2 + 
   18*a^10*z^2 - 15*a^12*z^2 + 2*a^14*z^2 + 8*a^6*z^4 - 4*a^8*z^4 + 
   19*a^10*z^4 - 3*a^14*z^4 + 5*a^6*z^6 - 8*a^8*z^6 + 4*a^10*z^6 + 
   7*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 3*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 44957] -> 
  2*a^2 - a^4 - 2*z^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 44958] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 2*a^6*z^2 + z^4 - z^4/a^4 - 5*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 44959] -> 
  3*a^2 - 3*a^4 + a^6 - 3*z^2 - z^2/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 44960] -> -4 - 3/a^4 + 7/a^2 + a^2 - 15*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (19*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 44961] -> 
  5*a^6 - 8*a^8 + 8*a^10 - 5*a^12 + a^14 + 17*a^6*z^2 - 22*a^8*z^2 + 
   16*a^10*z^2 - 4*a^12*z^2 - 4*a^4*z^4 + 20*a^6*z^4 - 22*a^8*z^4 + 
   5*a^10*z^4 + 2*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - 7*a^8*z^6 - 
   5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 2*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 44962] -> 
  1 - a^(-10) + 5/a^8 - 6/a^6 + a^(-4) + a^(-2) + 2*z^2 - (2*z^2)/a^10 + 
   (9*z^2)/a^8 - (9*z^2)/a^6 - (3*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 44963] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (8*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (15*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - (6*z^6)/a^8 + (12*z^6)/a^6 - 
   (9*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 44964] -> 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 
   2*a^10 - a^12 + 3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 - 6*a^4*z^4 + 11*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 
   a^2*z^6 - 5*a^4*z^6 + 11*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 3*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 44965] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 44966] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 - (10*z^2)/a^14 + (7*z^2)/a^12 + (7*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + (12*z^4)/a^12 + (12*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 44967] -> 
  a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 2/a^6 - z^2/a^14 - z^2/a^12 - 
   z^2/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 - z^4/a^10 + (4*z^4)/a^8 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44968] -> 
  a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 - 
   (4*z^2)/a^10 + (3*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (3*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44969] -> a^(-16) - 3/a^14 + a^(-12) + a^(-8) + 
   a^(-6) - z^2/a^16 - (4*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (5*z^4)/a^12 + 
   (6*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 44970] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 - (5*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + z^2/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 + (3*z^4)/a^8 + z^4/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 44971] -> -a^(-10) + 2/a^8 - a^(-4) + a^2 - z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   2*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   z^6 - (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 44972] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 3*z^2 - 
   z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   4*z^4 + (3*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 44973] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 44974] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + z^4/a^6 - 
   z^4/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44975] -> 5 + a^(-4) - 3/a^2 - 2*a^2 - a^4 + a^6 + 
   5*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 44976] -> -a^2 + 5*a^4 - 4*a^6 + 2*a^8 - a^10 - 
   2*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + z^4 - 
   3*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 44977] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44978] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (10*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 - z^4/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 44979] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) - (12*z^2)/a^14 + (8*z^2)/a^12 + 
   (11*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + 
   (14*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 44980] -> a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (3*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (2*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 44981] -> -1 - 2/a^6 + 3/a^4 + a^(-2) - a^2 + a^4 - 
   3*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 44982] -> 
  5 - 2/a^2 - 2*a^2 + 7*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 6*z^4 - z^4/a^4 + z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 44983] -> 2 - a^(-8) + a^(-6) - a^2 + 5*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 44984] -> a^(-2) + a^2 - 3*a^4 + a^6 + 2*a^8 - a^10 - 
   2*z^2 + z^2/a^4 + a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 4*a^8*z^2 - 3*z^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 
   2*a^4*z^6, Knot[15, Alternating, 44985] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 2*z^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 + 
   a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 44986] -> -3 + a^(-4) + a^(-2) + 2*a^2 - a^6 + a^8 - 
   7*z^2 - z^2/a^6 + z^2/a^4 + 2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[15, Alternating, 44987] -> a^2 + a^4 - 2*a^8 + a^10 + 
   a^2*z^2 + 2*a^4*z^2 - 3*a^8*z^2 + a^12*z^2 - z^4 + a^4*z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 44988] -> 2 - a^2 - a^8 + a^10 + 3*z^2 - z^2/a^2 - 
   5*a^2*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 4*z^4 - z^4/a^2 - 
   4*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 44989] -> 
  1 - a^(-2) + 2*a^2 - a^6 + z^2 - z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^8*z^2 + z^4/a^4 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 44990] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 
   a^6*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 44991] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + 5*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 44992] -> 
  -a^(-4) + 2/a^2 + z^2/a^6 - z^2/a^2 + a^2*z^2 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 44993] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 44994] -> 1 - a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (7*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 44995] -> 
  3*a^2 - 2*a^4 - a^8 + a^10 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 2*a^8*z^4 + 
   z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 44996] -> 
  5*a^8 - 5*a^10 + 2*a^12 - a^14 + 2*a^4*z^2 - a^6*z^2 + 15*a^8*z^2 - 
   8*a^10*z^2 + 6*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 - 2*a^6*z^4 + 
   11*a^8*z^4 - 4*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 44997] -> a^6 + 3*a^8 - 4*a^10 + 2*a^12 - a^14 + 
   a^2*z^2 + 4*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^6*z^4 + 2*a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 44998] -> 
  -a^2 + 3*a^4 - a^10 + 2*z^2 - 4*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 44999] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 
   10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + 8*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45000] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + 17*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 45001] -> 
  1 - a^2 + 2*a^4 - a^6 + 5*z^2 - z^2/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 
   3*a^6*z^2 + 2*a^8*z^2 + 5*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 - 
   5*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 45002] -> 
  2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 6*a^8*z^2 - 
   4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 - 
   5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 45003] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - (4*z^2)/a^10 + z^2/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (8*z^4)/a^10 + (9*z^4)/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45004] -> -1 + 4*a^2 - 2*a^4 + z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45005] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 + 
   a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45006] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 - (2*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 45007] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - z^6/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45008] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 + a^2*z^2 + a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   2*z^4 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45009] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - (3*z^6)/a^6 + z^6/a^4 + 
   (2*z^6)/a^2 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 45010] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 - 
   (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (4*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 45011] -> 
  -a^(-12) + a^(-10) + a^(-2) - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 + 
   z^2/a^8 + (2*z^2)/a^2 + (2*z^4)/a^12 + z^4/a^10 - z^4/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 45012] -> -a^(-14) + 3/a^12 - 3/a^10 + a^(-6) + 
   a^(-2) + z^2 + (4*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 45013] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 45014] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 4*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + 
   a^4*z^2 - 3*z^4 - z^4/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 45015] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   4*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 45016] -> 
  2*a^6 + a^8 - 3*a^10 + 2*a^12 - a^14 + a^2*z^2 + 5*a^6*z^2 + 4*a^8*z^2 - 
   3*a^10*z^2 + 3*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 45017] -> -1 + 2*a^2 + a^6 - a^10 - 
   2*z^2 + z^2/a^2 + 3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - 
   2*z^4 + z^4/a^2 - a^6*z^4 + 2*a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 45018] -> a^(-6) + a^(-4) - 2/a^2 + a^6 - 3*z^2 - 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   z^4/a^6 + (2*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^4 + z^6/a^2 + 
   a^2*z^6, Knot[15, Alternating, 45019] -> 1 - z^2/a^2 + a^2*z^2 + a^4*z^2 - 
   a^8*z^2 + z^4/a^4 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 45020] -> 
  -1 + 2/a^2 - a^2 + a^6 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   a^8*z^2 - z^4/a^4 - a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 45021] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 45022] -> 
  3*a^2 - 3*a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 45023] -> 1 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + a^10*z^2 - 
   z^4/a^2 - a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 45024] -> 
  2 - a^(-4) + a^(-2) - a^2 + 3*z^2 - z^2/a^4 + z^2/a^2 - a^4*z^2 + 2*z^4 + 
   z^4/a^8 - z^4/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 45025] -> -a^(-4) + 2/a^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 45026] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 6*z^2 - (3*z^2)/a^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 45027] -> a^2 - a^4 + 2*a^6 - a^10 + 3*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + a^12*z^2 - z^4 + a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 - 2*a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + 
   a^8*z^6, Knot[15, Alternating, 45028] -> 2/a^10 - 7/a^8 + 6/a^6 + 
   z^2/a^12 - z^2/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (16*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 45029] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45030] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 45031] -> 
  -5/a^8 + 8/a^6 - 2/a^4 + z^2/a^12 - (7*z^2)/a^10 + (21*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + (18*z^4)/a^8 + (21*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 45032] -> 
  -4 - 3/a^6 + a^(-4) + 7/a^2 - 12*z^2 + (2*z^2)/a^8 - (15*z^2)/a^6 + 
   (15*z^2)/a^4 + (18*z^2)/a^2 - 13*z^4 + (3*z^4)/a^8 - (25*z^4)/a^6 + 
   (35*z^4)/a^4 + (21*z^4)/a^2 - 6*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (32*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 45033] -> 
  -2 - a^(-8) - a^(-6) + 2/a^4 + 3/a^2 - 5*z^2 + z^2/a^10 - (4*z^2)/a^8 - 
   (2*z^2)/a^6 + (12*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (2*z^4)/a^6 + (18*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 45034] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45035] -> -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 45036] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 15*a^4*z^4 - 
   4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45037] -> 2*a^4 - a^8 + 3*a^4*z^2 + 3*a^8*z^2 - 
   2*a^10*z^2 + a^4*z^4 - 2*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 2*a^2*z^6 - 
   2*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 3*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45038] -> a^(-6) - a^(-4) + a^2 - 6*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45039] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (19*z^2)/a^10 + (12*z^2)/a^6 - (4*z^4)/a^14 + (26*z^4)/a^12 - 
   (35*z^4)/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (31*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 45040] -> a^(-12) - 2/a^10 + 2/a^4 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (6*z^4)/a^10 - (12*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45041] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45042] -> -2/a^10 + a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (14*z^2)/a^8 - (10*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + 
   (25*z^4)/a^8 - (21*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (26*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45043] -> -a^(-12) + 2/a^8 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (9*z^4)/a^10 - (2*z^4)/a^8 - (18*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - (13*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 45044] -> -a^(-10) + 5/a^8 - 5/a^6 - 2/a^4 + 4/a^2 - 
   z^2/a^10 + (10*z^2)/a^8 - (11*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (10*z^4)/a^8 - (8*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45045] -> 3 - a^(-6) + 4/a^4 - 5/a^2 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (10*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45046] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (11*z^4)/a^8 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 45047] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45048] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45049] -> -3/a^8 + 4/a^6 - (3*z^2)/a^14 + 
   (9*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (22*z^4)/a^12 - (22*z^4)/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (15*z^6)/a^12 - (25*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 45050] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45051] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45052] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 5*z^2 - (2*z^2)/a^2 - 7*a^4*z^2 + 
   3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 45053] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45054] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + 
   z^2/a^16 - (13*z^2)/a^14 + (9*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (10*z^4)/a^14 + (22*z^4)/a^12 + (18*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 45055] -> -a^(-12) - a^(-10) + 4/a^8 - 3/a^6 + 2/a^4 - 
   z^2/a^14 + z^2/a^12 - z^2/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (3*z^4)/a^10 + (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45056] -> -2 + 2/a^8 - 2/a^6 - 5/a^4 + 8/a^2 - 5*z^2 + 
   (5*z^2)/a^8 - (5*z^2)/a^6 - (16*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (19*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45057] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 45058] -> -3 + 2/a^4 - 3/a^2 + 9*a^2 - 
   4*a^4 - 10*z^2 + (7*z^2)/a^4 - (12*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 
   16*z^4 + (9*z^4)/a^4 - (17*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45059] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - 8*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + 5*z^4 - 10*a^2*z^4 - 8*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 45060] -> 2 - a^(-10) + 5/a^8 - 6/a^6 + 2/a^4 - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (11*z^2)/a^8 - (14*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - 
   (10*z^4)/a^6 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 45061] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45062] -> a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (18*z^4)/a^12 - (9*z^4)/a^10 - (10*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (14*z^6)/a^12 - (19*z^6)/a^10 - (9*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (11*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 45063] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 - 
   (3*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 45064] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - (12*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 45065] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^8 + z^2/a^6 - (15*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (14*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45066] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (4*z^2)/a^8 - z^2/a^6 - (17*z^2)/a^4 + 
   (20*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (12*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45067] -> 
  2*a^2 - a^4 - 4*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^4 - (7*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45068] -> 
  2 - a^(-10) + 4/a^8 - 2/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (5*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45069] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + z^2/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45070] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45071] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^4 + z^4/a^2 + 8*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45072] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (17*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45073] -> 
  -a^(-10) - 2/a^8 + 6/a^6 - 3/a^4 + a^(-2) - (3*z^2)/a^10 + (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (8*z^4)/a^8 + 
   (10*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45074] -> 
  -a^(-10) - 2/a^8 + 6/a^6 - 3/a^4 + a^(-2) - (3*z^2)/a^10 + (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^10 + (10*z^4)/a^8 + 
   (8*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45075] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 - (8*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45076] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (2*z^4)/a^8 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 45077] -> -2 - 3/a^6 + 5/a^4 + a^2 - 6*z^2 - 
   (3*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45078] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45079] -> 2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45080] -> 
  -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 9*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   6*a^4*z^2 - 6*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45081] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45082] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45083] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45084] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45085] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 13*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (10*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 45086] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45087] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (13*z^4)/a^6 + (15*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (11*z^6)/a^6 + (19*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45088] -> a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 6*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45089] -> 2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 5*z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45090] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45091] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 45092] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (3*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 - 
   (5*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45093] -> a^(-14) - 5/a^12 + 4/a^10 + a^(-6) - 
   z^2/a^14 - (6*z^2)/a^12 + (13*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + z^4/a^12 + (14*z^4)/a^10 - (6*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 + (3*z^6)/a^10 - (8*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45094] -> 5 - 3/a^2 + a^2 - 2*a^4 + 16*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 21*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 45095] -> 3 - a^(-4) - a^4 + 7*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   8*z^4 - (3*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 - a^4*z^4 + 4*z^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 45096] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (3*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45097] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45098] -> -a^(-2) + 5*a^2 - 3*a^4 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (15*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 12*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 45099] -> 
  6 - 3/a^2 - a^2 - a^4 + 15*z^2 + z^2/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + 18*z^4 + z^4/a^6 - (6*z^4)/a^4 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 45100] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (10*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 45101] -> 
  -8 + 2/a^4 - a^(-2) + 13*a^2 - 5*a^4 - 18*z^2 + (8*z^2)/a^4 - 
   (10*z^2)/a^2 + 27*a^2*z^2 - 7*a^4*z^2 - 18*z^4 + (10*z^4)/a^4 - 
   (20*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45102] -> 
  4 + a^(-6) - 4/a^2 + a^2 - a^4 + 8*z^2 + (3*z^2)/a^6 - (14*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (15*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45103] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 5*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (8*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45104] -> a^4 + a^6 - a^10 + a^2*z^2 + 4*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 45105] -> 1 - a^4 + 2*a^6 - a^8 + 
   4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 45106] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 
   3/a^4 + 2/a^2 + 2*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45107] -> 
  a^(-6) - a^(-2) + a^4 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45108] -> 2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45109] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - a^4*z^2 + a^6*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 45110] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 9*z^4 - z^4/a^6 - (5*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (10*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 45111] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - z^4/a^6 - z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45112] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - 
   (7*z^2)/a^10 + (23*z^2)/a^8 - (14*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (33*z^4)/a^8 - (35*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (17*z^6)/a^8 - (32*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 45113] -> -a^(-12) + a^(-10) + a^(-8) - 
   a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 - 
   (12*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - 
   (4*z^4)/a^8 - (21*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - 
   (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 45114] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - 3*z^2 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + z^4/a^4 + (7*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 45115] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45116] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 + 2*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45117] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45118] -> 
  -a^(-12) + a^(-8) + a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - 
   (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45119] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   (5*z^2)/a^10 + (17*z^2)/a^8 - (11*z^2)/a^6 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (24*z^4)/a^8 - (25*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (14*z^6)/a^8 - (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45120] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (5*z^4)/a^10 - 
   (13*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 45121] -> 
  1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45122] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (8*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45123] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 - (6*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45124] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 - (2*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (3*z^4)/a^8 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 45125] -> 1 - 2/a^10 + 3/a^8 - 2/a^6 + 3/a^4 - 2/a^2 + 
   2*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45126] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 - z^2 + 
   a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 45127] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 45128] -> 
  -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (12*z^4)/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45129] -> 1 - 2/a^10 + 3/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^4 - (3*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45130] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 11*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45131] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^4 + 
   a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45132] -> -1 + 2*a^2 + 3*a^6 - 4*a^8 + a^10 - 2*z^2 - 
   z^2/a^2 + 6*a^2*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 45133] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45134] -> -a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   a^6 + z^2/a^4 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 45135] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45136] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   z^2/a^10 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 - z^6/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45137] -> 1 - 2/a^10 + 3/a^8 - a^(-4) + 3*z^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + z^2/a^2 + 3*z^4 - 
   z^4/a^10 + (10*z^4)/a^8 - (4*z^4)/a^6 - (17*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 45138] -> 1 - a^(-12) + a^(-10) + a^(-8) - 
   a^(-6) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (10*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 45139] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   z^4 - z^4/a^10 - z^4/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45140] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45141] -> 2 - a^(-4) + a^(-2) - a^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 45142] -> -a^(-12) + 2/a^8 - 2/a^6 + 
   2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45143] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   10*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 45144] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 
   11*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 17*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45145] -> 
  2 - 3*a^2 + 5*a^6 - 3*a^8 + 6*z^2 - 10*a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 - 
   7*a^8*z^2 + 8*z^4 - 15*a^2*z^4 - 14*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 
   5*z^6 - 13*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 45146] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 
   10*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 45147] -> 2 - a^(-10) + 4/a^8 - 4/a^6 + a^(-4) - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (12*z^2)/a^6 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (7*z^4)/a^8 - 
   (10*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - 
   z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45148] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (15*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (21*z^4)/a^8 - (28*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (25*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 45149] -> 2/a^6 - 5/a^4 + 4/a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (8*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 45150] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45151] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45152] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 + z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 45153] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   (6*z^4)/a^4 - (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45154] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45155] -> 
  1 - a^(-10) + 4/a^8 - 3/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + 
   (5*z^2)/a^8 - z^2/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   (5*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45156] -> -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45157] -> 1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 
   2/a^2 + 2*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45158] -> -a^(-14) + 2/a^12 - 3/a^10 + 3/a^8 - 
   a^(-6) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - (4*z^2)/a^10 + (6*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 + z^4/a^8 - 
   (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 45159] -> 
  -a^(-10) - 3/a^8 + 7/a^6 - 2/a^4 + (2*z^2)/a^12 - (13*z^2)/a^10 + 
   (10*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (22*z^4)/a^10 + 
   (30*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45160] -> -a^(-10) - a^(-8) + 2/a^6 + 2/a^4 - a^(-2) + 
   z^2/a^12 - (5*z^2)/a^10 + (12*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 + (17*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45161] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + z^2/a^2 - 
   9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 
   17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45162] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (6*z^2)/a^12 + (3*z^2)/a^10 - (17*z^2)/a^8 + (11*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (6*z^4)/a^10 - (21*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45163] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - 
   (5*z^4)/a^10 + (10*z^4)/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (6*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45164] -> -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^6 + 
   (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45165] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45166] -> -3 - 3/a^6 + 2/a^4 + 5/a^2 - 9*z^2 + 
   z^2/a^8 - (10*z^2)/a^6 + (11*z^2)/a^4 + (14*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (17*z^4)/a^6 + (24*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (24*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45167] -> 2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 4*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - 2*a^2*z^2 + 4*z^4 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45168] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (2*z^4)/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45169] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 45170] -> 
  2 - a^(-2) + a^2 - a^4 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45171] -> 3 - a^(-2) - 2*a^4 + a^6 + z^2 - z^2/a^4 + 
   6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45172] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 45173] -> -2/a^10 + 2/a^8 + 2/a^6 - 
   3/a^4 + 2/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (13*z^4)/a^6 - (11*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (19*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 45174] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45175] -> 1 - a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (2*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45176] -> 
  -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 - z^2/a^12 + (2*z^2)/a^10 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 + (2*z^4)/a^8 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 45177] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45178] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (2*z^2)/a^8 - (15*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (5*z^4)/a^8 - (22*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (7*z^6)/a^8 - (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 45179] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (10*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - 
   (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 45180] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (5*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 45181] -> 
  a^(-16) - 4/a^14 + 2/a^12 + a^(-10) + a^(-6) - (7*z^2)/a^14 + 
   (5*z^2)/a^12 + (8*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (8*z^4)/a^12 + (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 45182] -> -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45183] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (5*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^2 - (5*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45184] -> -a^(-12) + 2/a^8 - a^(-6) + a^(-2) - 
   z^2/a^14 + z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 45185] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - z^4 + (3*z^4)/a^4 + 
   5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 45186] -> -a^(-10) + 4/a^8 - 4/a^6 + a^(-4) + a^2 - 
   2*z^2 - z^2/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^8 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 45187] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45188] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 10*z^2 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^6 + (21*z^4)/a^4 - (26*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (14*z^6)/a^4 - (27*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 45189] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (13*z^4)/a^8 - (14*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45190] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 10*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 9*z^4 + (2*z^4)/a^4 + 
   17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45191] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + (6*z^4)/a^4 - 
   (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45192] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2/a^2 + 7*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 
   4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 45193] -> -a^(-10) + 3/a^4 - a^(-2) + z^2/a^12 - 
   (6*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (9*z^4)/a^8 + (5*z^4)/a^6 + (6*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45194] -> -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45195] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 45196] -> 
  3 - 3/a^6 + 4/a^4 - a^(-2) - 2*a^2 + 6*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (13*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - (11*z^4)/a^6 + 
   (15*z^4)/a^4 + (9*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + 
   (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45197] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 5*z^2 + 
   12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45198] -> 1 - a^(-8) + a^(-4) + a^(-2) - a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 45199] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   z^4/a^4 + z^4/a^2 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 45200] -> 
  2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45201] -> 2*a^4 - a^8 + 2*a^4*z^2 + 3*a^6*z^2 - 
   a^10*z^2 + z^4 - a^2*z^4 - a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + 
   z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 45202] -> 1 - 2*a^2 + 3*a^4 - a^8 + z^2 - 
   4*a^2*z^2 + 5*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45203] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 - z^2 + z^2/a^2 + 2*a^2*z^2 - 10*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 16*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45204] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - (10*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 45205] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - 
   a^2 + a^4 + z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45206] -> 1 - 2/a^10 + 3/a^8 - 2/a^6 + 3/a^4 - 2/a^2 + 
   3*z^2 - (3*z^2)/a^10 + (12*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (11*z^4)/a^8 - (12*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45207] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45208] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45209] -> 1 - a^(-12) + a^(-10) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^12 + (5*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (8*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 45210] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45211] -> 2 - a^(-10) + 4/a^8 - 3/a^6 - a^(-4) + 
   3*z^2 - z^2/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45212] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45213] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 + z^4/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45214] -> -a^(-10) + a^(-8) + a^(-2) - z^2/a^14 + 
   (2*z^2)/a^12 + z^2/a^10 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 45215] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45216] -> -a^2 + 4*a^4 - a^6 - a^8 - 2*a^2*z^2 + 
   7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 4*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45217] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 + a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 7*z^4 + (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45218] -> 
  a^(-16) - 4/a^14 + 3/a^12 - a^(-10) + a^(-8) + a^(-6) - (8*z^2)/a^14 + 
   (8*z^2)/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (11*z^4)/a^12 + (10*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 45219] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (5*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 45220] -> 
  -a^(-12) + a^(-8) + a^(-6) - a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   z^4/a^10 - (2*z^4)/a^8 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 45221] -> 
  3 + 2/a^8 - 3/a^6 - a^2 + 6*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45222] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 + z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 
   4*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 2*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45223] -> 
  2/a^4 - 3/a^2 + a^2 + 3*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 45224] -> -a^(-10) + 4/a^8 - 3/a^6 - a^(-4) + a^(-2) + 
   a^2 - z^2 - z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 45225] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45226] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45227] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   z^4 - z^4/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (16*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 45228] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45229] -> 2*a^2 - a^4 + z^2 - z^2/a^6 + z^2/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45230] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45231] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45232] -> 
  2*a^2 - a^4 + z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45233] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + (2*z^2)/a^8 + z^2/a^6 - (8*z^2)/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (10*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45234] -> 
  1 - a^(-10) + 4/a^8 - 3/a^6 - a^(-2) + a^2 - z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 45235] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 45236] -> 
  -1 - a^(-10) + 4/a^8 - 3/a^6 + 2*a^2 - 4*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + z^4/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[15, Alternating, 45237] -> a^(-8) - a^(-4) + a^4 - 2*z^2 - z^2/a^10 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2, Knot[15, Alternating, 45238] -> 
  6*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 2*a^2*z^2 - 6*a^4*z^2 + 23*a^6*z^2 - 
   23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 15*a^4*z^4 + 
   28*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 
   17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 45239] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + z^2 - 
   2*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 
   5*a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45240] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 13*a^2*z^4 - 15*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45241] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 16*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 45242] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - 
   a^12 + a^2*z^2 - a^4*z^2 + 12*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 + z^4 - 
   a^2*z^4 - 6*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 45243] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45244] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45245] -> 2 - 2*a^2 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45246] -> a^(-2) - a^2 + a^4 - z^2 - a^2*z^2 - 4*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 45247] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2/a^10 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45248] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 9*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   16*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45249] -> -3 - a^(-4) + 4/a^2 + a^4 - 7*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45250] -> -5 - a^(-8) + 3/a^6 - 5/a^4 + 7/a^2 + 
   2*a^2 - 14*z^2 - z^2/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 + (6*z^4)/a^6 - (20*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45251] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 
   14*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 45252] -> -4 + a^(-4) + a^(-2) + 5*a^2 - 
   4*a^4 + 2*a^6 - 11*z^2 - z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 
   a^6*z^2 - 13*z^4 - z^4/a^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 45253] -> 
  1 + z^2 - z^2/a^2 + a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 5*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45254] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45255] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45256] -> 1 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45257] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 45258] -> 
  -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 10*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 5*z^4 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45259] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2/a^12 - (5*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 + z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45260] -> 
  -1 + 4*a^2 - 2*a^4 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 + 13*z^4 - z^4/a^2 - 
   27*a^2*z^4 + 12*a^4*z^4 + 20*z^6 - (3*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 
   11*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 45261] -> 
  3 - a^(-2) - a^2 + 4*z^2 - 6*a^2*z^2 + 3*a^4*z^2 + z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 45262] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + (6*z^2)/a^2 + 13*a^2*z^2 - 
   2*a^4*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45263] -> -a^(-4) + 2/a^2 - 7*z^2 + (4*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 12*z^4 + (3*z^4)/a^4 - z^4/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45264] -> -2/a^6 + 3/a^4 - 2*z^2 + (4*z^2)/a^8 - 
   (15*z^2)/a^6 + (18*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - 
   (25*z^4)/a^6 + (32*z^4)/a^4 - z^4/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 45265] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (12*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + 
   (27*z^4)/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (26*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45266] -> -a^(-10) + a^(-8) + a^(-2) + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (6*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45267] -> 
  1 + 6*z^2 + z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^4 - 
   z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   8*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 45268] -> -4 + 3/a^2 + a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   2*a^4*z^4 + z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45269] -> 3*a^2 - 3*a^4 + a^6 - z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45270] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 45271] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   z^2 + z^2/a^10 - (5*z^2)/a^8 + (15*z^2)/a^6 - (16*z^2)/a^4 + (9*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 - (24*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 45272] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 + 
   4*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 2*z^4 + 7*a^2*z^4 - 
   13*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 4*a^4*z^6 - 
   5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 45273] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - 
   a^2 + 7*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - (17*z^2)/a^2 + 4*z^4 - 
   (4*z^4)/a^6 + (24*z^4)/a^4 - (30*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (27*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 45274] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 - (12*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 45275] -> -5 + a^(-2) + 8*a^2 - 2*a^4 - a^6 - 18*z^2 + 
   (5*z^2)/a^2 + 19*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 22*z^4 + (8*z^4)/a^2 + 
   13*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 45276] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 
   2*a^6 - 7*z^2 + (3*z^2)/a^2 + a^2*z^2 + 9*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 - 
   6*z^4 + (3*z^4)/a^2 - 4*a^2*z^4 + 8*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 5*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 45277] -> 1 + 4/a^4 - 6/a^2 + 2*a^2 - 
   3*z^2 - z^2/a^8 + (8*z^2)/a^4 - (13*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (10*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 45278] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^4 - 9*a^2*z^2 + a^4*z^2 + a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45279] -> 3*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^2 + 
   a^2*z^2 - a^6*z^2 + z^4/a^2 - 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 4*z^6 + 
   z^6/a^2 - a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45280] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 9*a^4*z^4 - 5*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45281] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^6 + z^2/a^4 + z^2/a^2 + (4*z^4)/a^8 - 
   (12*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + (4*z^6)/a^8 - (20*z^6)/a^6 + 
   (24*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - 
   (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 45282] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 45283] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 
   a^2*z^4 + 7*a^4*z^4 - 16*a^6*z^4 + 7*a^8*z^4 - 7*a^2*z^6 + 20*a^4*z^6 - 
   24*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 18*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 45284] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 5*a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45285] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45286] -> 4 - a^(-2) - 3*a^2 + a^4 + 9*z^2 - 
   (3*z^2)/a^2 - 6*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 45287] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   3*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45288] -> 
  3 + 2/a^4 - 4/a^2 + 9*z^2 + (2*z^2)/a^6 + (5*z^2)/a^4 - (18*z^2)/a^2 + 
   16*z^4 - z^4/a^6 + (16*z^4)/a^4 - (42*z^4)/a^2 + 14*z^6 - (3*z^6)/a^6 + 
   (21*z^6)/a^4 - (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 45289] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 6*a^2*z^2 - 15*z^4 - z^4/a^6 + (6*z^4)/a^4 - 
   (8*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 - (8*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45290] -> a^(-12) - 6/a^10 + 6/a^8 + (3*z^2)/a^12 - 
   (13*z^2)/a^10 + (13*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (13*z^4)/a^10 + (11*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45291] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45292] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (13*z^2)/a^8 + (4*z^2)/a^6 + (3*z^4)/a^12 - (12*z^4)/a^10 + (14*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (8*z^6)/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 45293] -> 
  2 - a^(-10) + 3/a^8 - 4/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (12*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45294] -> -1 + 2/a^2 - 2*a^4 + 2*a^6 - z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45295] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45296] -> 
  2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 - 
   9*a^4*z^2 + 5*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 - 2*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 45297] -> -3 + 3/a^2 + a^2 - 2*a^4 + 2*a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45298] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - z^2/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 4*z^4 - z^4/a^4 + (3*z^4)/a^2 - 14*a^2*z^4 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45299] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 14*z^2 - 
   (10*z^2)/a^6 + (36*z^2)/a^4 - (40*z^2)/a^2 + 24*z^4 - (13*z^4)/a^6 + 
   (60*z^4)/a^4 - (75*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 45300] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 7*z^2 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^2)/a^4 - (12*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (8*z^4)/a^4 - (20*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 45301] -> 
  2*a^4 - 6*a^6 + 11*a^8 - 6*a^10 + 13*a^4*z^2 - 35*a^6*z^2 + 49*a^8*z^2 - 
   17*a^10*z^2 + 22*a^4*z^4 - 68*a^6*z^4 + 72*a^8*z^4 - 17*a^10*z^4 + 
   18*a^4*z^6 - 64*a^6*z^6 + 49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 45302] -> 2*a^4 - 5*a^6 + 9*a^8 - 5*a^10 + 
   3*a^2*z^2 + a^4*z^2 - 11*a^6*z^2 + 24*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 
   7*a^4*z^4 - 13*a^6*z^4 + 23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   10*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45303] -> 
  a^2 - 2*a^4 + a^6 + 5*a^8 - 4*a^10 + 7*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + 
   19*a^8*z^2 - 8*a^10*z^2 + 9*a^2*z^4 - 20*a^4*z^4 - 3*a^6*z^4 + 
   22*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 8*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45304] -> 
  a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 3*a^10 + 2*z^2 + a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 
   2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 45305] -> 
  -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - 14*a^2*z^2 + 27*a^4*z^2 - 11*a^6*z^2 + 
   11*z^4 - 37*a^2*z^4 + 48*a^4*z^4 - 13*a^6*z^4 + 13*z^6 - 43*a^2*z^6 + 
   38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 45306] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 - 2*a^4*z^2 + 8*a^6*z^2 + 10*a^8*z^2 - 
   11*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 14*a^6*z^4 + 13*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 12*a^6*z^6 + 9*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 45307] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (4*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45308] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 9*z^2 - 
   (7*z^2)/a^6 + (25*z^2)/a^4 - (26*z^2)/a^2 + 16*z^4 - (9*z^4)/a^6 + 
   (41*z^4)/a^4 - (50*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - 
   (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 45309] -> 
  2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + a^2*z^2 + 4*a^4*z^2 - 9*a^6*z^2 + 
   18*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 2*a^4*z^4 - 11*a^6*z^4 + 
   18*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 8*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 45310] -> a^2 - 2*a^4 + 2*a^6 + 3*a^8 - 
   3*a^10 + 5*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 
   7*a^2*z^4 - 15*a^4*z^4 - a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   12*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45311] -> -2*a^2 + 7*a^4 - 4*a^6 + 4*z^2 - 
   19*a^2*z^2 + 32*a^4*z^2 - 12*a^6*z^2 + 12*z^4 - 41*a^2*z^4 + 50*a^4*z^4 - 
   13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 45312] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   7*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45313] -> 
  2/a^12 - 4/a^10 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (10*z^2)/a^12 - 
   (13*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (16*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 45314] -> 
  3/a^10 - 8/a^8 + 5/a^6 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 - 
   (19*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (7*z^4)/a^10 - (22*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 45315] -> 2/a^16 - 4/a^14 - 2/a^12 + 
   4/a^10 + a^(-8) + (2*z^2)/a^16 - (14*z^2)/a^14 + (3*z^2)/a^12 + 
   (16*z^2)/a^10 + (5*z^2)/a^8 - z^4/a^16 - (8*z^4)/a^14 + (13*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (8*z^6)/a^12 + 
   (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 45316] -> 
  17 - 8/a^2 - 8*a^2 + 58*z^2 + (2*z^2)/a^4 - (28*z^2)/a^2 - 24*a^2*z^2 + 
   89*z^4 + (5*z^4)/a^4 - (42*z^4)/a^2 - 30*a^2*z^4 + 74*z^6 + (4*z^6)/a^4 - 
   (33*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 45317] -> 
  9 - 2/a^4 - a^(-2) - 5*a^2 + 24*z^2 + z^2/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   12*a^2*z^2 + 29*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45318] -> -5*a^2 + 13*a^4 - 7*a^6 - z^2 - 17*a^2*z^2 + 
   46*a^4*z^2 - 20*a^6*z^2 + 3*z^4 - 32*a^2*z^4 + 77*a^4*z^4 - 27*a^6*z^4 + 
   4*z^6 - 30*a^2*z^6 + 69*a^4*z^6 - 19*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 45319] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 4*z^2 - 
   z^2/a^2 + 4*a^2*z^2 + 18*a^4*z^2 - 10*a^6*z^2 - 6*z^4 + z^4/a^2 + 
   7*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45320] -> 
  -4/a^6 + 7/a^4 - 2/a^2 - z^2 + z^2/a^8 - (10*z^2)/a^6 + (20*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*z^4 + z^4/a^8 - (11*z^4)/a^6 + (21*z^4)/a^4 + z^4/a^2 - 
   3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (12*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45321] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (4*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45322] -> 2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45323] -> -5 - 2/a^6 + 7/a^2 + a^2 - 16*z^2 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - 
   (4*z^4)/a^6 + (13*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (2*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45324] -> 
  -3 - a^(-8) + a^(-4) + 3/a^2 + a^2 - 7*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 45325] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 45326] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 + z^2/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45327] -> 3*a^4 - 2*a^6 - 2*z^2 + z^2/a^2 - 
   4*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45328] -> 4 - a^(-4) - 2*a^2 + 20*z^2 + (4*z^2)/a^4 - 
   (14*z^2)/a^2 - 7*a^2*z^2 + 41*z^4 + (8*z^4)/a^4 - (33*z^4)/a^2 - 
   13*a^2*z^4 + 44*z^6 + (5*z^6)/a^4 - (31*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 45329] -> -1 - 2/a^4 + 4/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45330] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 + 
   7*z^4 - z^4/a^2 - 16*a^2*z^4 + 7*a^4*z^4 + 20*z^6 - (7*z^6)/a^2 - 
   24*a^2*z^6 + 5*a^4*z^6 + 18*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 
   7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 45331] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 45332] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 4*z^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - 
   (12*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45333] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 16*z^2 - 
   (5*z^2)/a^2 - 16*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 19*z^4 - (6*z^4)/a^2 - 
   12*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 12*z^6 - (4*z^6)/a^2 - a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 45334] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 
   2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + a^6*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 45335] -> 2/a^16 - 6/a^14 + 2/a^12 + 
   2/a^10 + a^(-8) + (4*z^2)/a^16 - (24*z^2)/a^14 + (18*z^2)/a^12 + 
   (12*z^2)/a^10 + (4*z^2)/a^8 - (22*z^4)/a^14 + (35*z^4)/a^12 + 
   (22*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (25*z^6)/a^12 + 
   (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 45336] -> -a^(-10) + 3/a^6 - 3/a^4 + 
   2/a^2 + z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 + z^4/a^6 - (14*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45337] -> 
  -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 15*z^2 - (4*z^2)/a^6 + z^2/a^4 + 
   (18*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45338] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^10 + (17*z^2)/a^8 - 
   (20*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - 
   (33*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45339] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (5*z^2)/a^6 - (3*z^2)/a^4 + 2*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45340] -> -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 
   a^2*z^2 - 5*a^4*z^2 + 17*a^6*z^2 + 6*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 23*a^6*z^4 + 13*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 45341] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   5*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   17*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45342] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 19*z^2 + 
   z^2/a^6 - (11*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (7*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45343] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (34*z^2)/a^4 - (11*z^2)/a^2 + (8*z^4)/a^8 - 
   (38*z^4)/a^6 + (54*z^4)/a^4 - (17*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + 
   (50*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 45344] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (17*z^4)/a^6 - 
   (20*z^4)/a^4 + (13*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 45345] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45346] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 9*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 45347] -> 
  a^4 - a^6 + 5*a^8 - 5*a^10 + a^12 - a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 + 
   9*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   5*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 45348] -> -a^2 + 5*a^4 - 3*a^6 - 
   a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 2*a^4*z^6 - a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 45349] -> 
  4 - a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 - z^2/a^2 - 9*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 + (2*z^4)/a^2 - 10*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 + (2*z^6)/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45350] -> 
  1 - 2/a^6 + 6/a^4 - 5/a^2 + a^2 - 7*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (10*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - 
   (10*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45351] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 45352] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 8*z^2 - z^2/a^4 - 11*a^2*z^2 + 4*a^4*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 6*a^4*z^4 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45353] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (18*z^2)/a^2 + a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (18*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45354] -> 
  3*a^4 - 2*a^6 - 2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (4*z^4)/a^2 + 
   14*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45355] -> 4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45356] -> a^2 + a^4 - a^6 - 2*z^2 + 2*a^2*z^2 + 
   8*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 9*a^4*z^4 - 
   15*a^6*z^4 + 5*a^8*z^4 - z^6 + 7*a^2*z^6 + a^4*z^6 - 11*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 45357] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   8*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 7*z^4 - z^4/a^4 + z^4/a^2 - 
   12*a^2*z^4 + 4*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 9*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45358] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45359] -> -2/a^6 + 3/a^4 - (5*z^2)/a^10 + 
   (15*z^2)/a^8 - (16*z^2)/a^6 + (9*z^2)/a^4 - (8*z^4)/a^10 + (34*z^4)/a^8 - 
   (39*z^4)/a^6 + (14*z^4)/a^4 - (5*z^6)/a^10 + (31*z^6)/a^8 - (44*z^6)/a^6 + 
   (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (26*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 45360] -> -a^(-4) + 2/a^2 + z^2/a^2 + 4*z^4 - 
   (4*z^4)/a^6 + (12*z^4)/a^4 - (12*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + 
   (20*z^6)/a^4 - (24*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 45361] -> -a^(-14) + 4/a^12 - 5/a^10 - a^(-8) + 
   4/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - (10*z^2)/a^10 - (8*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (12*z^4)/a^10 - 
   (18*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45362] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 7*a^4*z^2 - 
   16*a^6*z^2 + 26*a^8*z^2 - 10*a^10*z^2 + 11*a^4*z^4 - 35*a^6*z^4 + 
   44*a^8*z^4 - 12*a^10*z^4 + 12*a^4*z^6 - 40*a^6*z^6 + 36*a^8*z^6 - 
   6*a^10*z^6 + 6*a^4*z^8 - 25*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 45363] -> 
  3*a^4 - 5*a^6 + 6*a^8 - 3*a^10 + a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 
   14*a^8*z^2 - 5*a^10*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45364] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 3*z^2 - 
   12*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 + 5*z^4 - 21*a^2*z^4 + 26*a^4*z^4 - 
   8*a^6*z^4 + 8*z^6 - 26*a^2*z^6 + 26*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 
   19*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 45365] -> 5 + 2/a^4 - 5/a^2 - a^2 + 
   24*z^2 + (5*z^2)/a^4 - (21*z^2)/a^2 - 9*a^2*z^2 + 43*z^4 + (10*z^4)/a^4 - 
   (37*z^4)/a^2 - 12*a^2*z^4 + 36*z^6 + (12*z^6)/a^4 - (40*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 45366] -> 
  6 + 2/a^4 - 5/a^2 - 3*a^2 + a^4 + 12*z^2 + (3*z^2)/a^4 - (13*z^2)/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 11*z^4 + (5*z^4)/a^4 - (15*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45367] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^4 - 
   z^2/a^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45368] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (15*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45369] -> a^(-2) - a^2 + a^4 + 6*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 10*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45370] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 + z^2/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - (13*z^4)/a^4 + z^4/a^2 + z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45371] -> 
  19 - 9/a^2 - 9*a^2 + 66*z^2 + z^2/a^4 - (30*z^2)/a^2 - 28*a^2*z^2 + 
   99*z^4 + (5*z^4)/a^4 - (44*z^4)/a^2 - 33*a^2*z^4 + 79*z^6 + (4*z^6)/a^4 - 
   (34*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 45372] -> 
  8 - 3/a^4 + a^(-2) - 5*a^2 + 20*z^2 - (9*z^2)/a^4 + (9*z^2)/a^2 - 
   12*a^2*z^2 + 26*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - 
   11*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45373] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 7*z^2 + 
   10*a^2*z^2 + 10*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + z^4/a^2 + 14*a^2*z^4 + 
   16*a^4*z^4 - 8*a^6*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45374] -> 5 - 2/a^2 - 2*a^2 + 20*z^2 - (9*z^2)/a^2 - 
   9*a^2*z^2 + 43*z^4 + (2*z^4)/a^4 - (20*z^4)/a^2 - 16*a^2*z^4 + 47*z^6 + 
   (3*z^6)/a^4 - (22*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - 
   (11*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 45375] -> 1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - (15*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (20*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45376] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 5*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + a^2*z^2 + (3*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 
   2*a^2*z^4 + 5*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + 
   4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45377] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (23*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 - (4*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (4*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45378] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^10 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45379] -> -a^(-10) + 4/a^8 - 4/a^6 - a^(-4) + 3/a^2 + 
   z^2 - z^2/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (3*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45380] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (9*z^2)/a^12 - (9*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (13*z^4)/a^10 - (4*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45381] -> -5 - 2/a^6 + 7/a^2 + a^2 - 15*z^2 - 
   (4*z^2)/a^6 + (2*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - 
   (6*z^4)/a^6 + (8*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45382] -> a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 + 
   (8*z^2)/a^8 - (34*z^2)/a^6 + (48*z^2)/a^4 - (16*z^2)/a^2 + (12*z^4)/a^8 - 
   (57*z^4)/a^6 + (79*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 45383] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   (3*z^2)/a^10 - (6*z^2)/a^8 - (2*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (2*z^4)/a^6 + (19*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (7*z^6)/a^6 + (14*z^6)/a^4 - (5*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 45384] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - a^2*z^2 + 
   11*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 17*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45385] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + 
   (4*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^4 + (14*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (17*z^4)/a^6 + (8*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45386] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 45387] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45388] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   z^2/a^2 + 4*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 45389] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   9*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45390] -> 2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 - (3*z^4)/a^4 + (10*z^4)/a^2 - 
   14*a^2*z^4 + 6*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45391] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - z^2/a^6 + 
   (6*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45392] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + (7*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45393] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 
   11*a^8*z^2 - 4*a^10*z^2 + 3*a^2*z^4 - 5*a^4*z^4 - 2*a^6*z^4 + 11*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45394] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + z^2 - 
   z^2/a^2 - a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 45395] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45396] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (4*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 45397] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + a^(-4) - z^2/a^14 + (7*z^2)/a^12 - 
   (7*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 45398] -> a^(-2) - a^2 + a^4 + 5*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 8*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 45399] -> -a^(-4) + 2/a^2 + z^2/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45400] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (30*z^4)/a^4 - (12*z^4)/a^2 + (4*z^6)/a^8 - (25*z^6)/a^6 + (42*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 45401] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (12*z^4)/a^4 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (9*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45402] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^12 - (7*z^4)/a^10 + z^4/a^8 + 
   (18*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + (6*z^6)/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45403] -> -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (10*z^4)/a^10 + (9*z^4)/a^8 + (8*z^4)/a^6 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45404] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 45405] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 + z^2/a^12 - (2*z^2)/a^10 + (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (8*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45406] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45407] -> -1 + 3/a^4 - 3/a^2 + a^2 + a^4 - 5*z^2 - 
   z^2/a^8 + (4*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 45408] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + (5*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   3*z^4 + z^4/a^8 - (10*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45409] -> 1 - a^2 + 2*a^4 - a^6 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45410] -> -2 - a^(-6) + 4/a^4 - 2/a^2 + a^2 + a^4 - 
   5*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   4*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45411] -> 3 - a^(-2) - a^2 + 5*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 7*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45412] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + z^2/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 
   9*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 45413] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 + z^4/a^12 - 
   (8*z^4)/a^10 + (6*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45414] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 5*z^2 + 16*a^2*z^2 - 19*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 22*a^2*z^4 - 21*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45415] -> -4 + 3/a^2 + a^2 + a^4 - 9*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45416] -> 
  -1 + a^(-2) + a^2 - 10*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 
   12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45417] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45418] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45419] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 5*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + 
   (7*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + (8*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 45420] -> -a^(-8) + a^(-6) + a^(-2) - 
   z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (4*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 + z^4/a^2 - z^6 - (2*z^6)/a^8 + 
   z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45421] -> -a^(-8) + 2/a^4 - z^2 + z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + 
   (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45422] -> -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 6*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 
   5*z^4 + z^4/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45423] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 + (3*z^2)/a^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 45424] -> 2 + 2/a^6 - 3/a^4 + 3*z^2 + z^2/a^8 + 
   z^2/a^6 - (6*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - z^4/a^6 - 
   (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45425] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45426] -> a^(-2) - a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 - 
   3*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + 6*z^4 + z^4/a^4 - a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + z^6/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45427] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 3*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 
   3*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 - 8*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 45428] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 8*a^2*z^2 - 
   18*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 
   24*a^4*z^4 + 19*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   14*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 45429] -> -3 + 2/a^2 + 2*a^2 - 12*z^2 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45430] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45431] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   (3*z^2)/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^10 + 
   (4*z^4)/a^8 - (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45432] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   z^2/a^12 - (6*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   (2*z^4)/a^12 - (6*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45433] -> -2 + 2/a^2 + a^4 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 - 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45434] -> 3*a^6 - a^8 - a^10 + 2*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 3*a^10*z^2 + 2*a^12*z^2 - a^4*z^4 + 7*a^6*z^4 - 2*a^8*z^4 - 
   7*a^10*z^4 + 3*a^12*z^4 - 3*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 7*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[15, Alternating, 45435] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 - 
   (13*z^4)/a^4 - (6*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45436] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45437] -> a^2 + a^4 - a^6 - z^2 + z^2/a^2 - a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45438] -> -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 
   9*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (16*z^2)/a^4 + (12*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + (33*z^4)/a^4 + (14*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45439] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 45440] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 17*z^2 - (11*z^2)/a^6 + (41*z^2)/a^4 - 
   (46*z^2)/a^2 + 28*z^4 - (13*z^4)/a^6 + (65*z^4)/a^4 - (86*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 45441] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   7*z^2 - (5*z^2)/a^8 + (17*z^2)/a^6 - (10*z^2)/a^4 - (9*z^2)/a^2 + 9*z^4 - 
   (4*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 - (16*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 45442] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 
   4*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 9*a^8*z^2 + 13*a^10*z^2 - 3*a^12*z^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 20*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 9*a^4*z^6 + 9*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 45443] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + 2*z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   5*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 45444] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 8*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45445] -> 2*a^8 + a^10 - a^12 - a^14 + 2*a^4*z^2 + 
   3*a^6*z^2 + 4*a^8*z^2 + 6*a^10*z^2 + a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 45446] -> 4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*z^2 - 
   a^2*z^2 + 9*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 45447] -> -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45448] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 10*z^4 - 
   z^4/a^4 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 
   8*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 45449] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 45450] -> -1 + 6*a^4 - 4*a^6 - 8*z^2 + 
   z^2/a^2 + 7*a^2*z^2 + 14*a^4*z^2 - 8*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 
   12*a^2*z^4 + 18*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45451] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 45452] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   7*a^2*z^2 + 17*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45453] -> -2 + 4*a^2 + a^4 - 2*a^6 - 5*z^2 + 
   8*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45454] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 45455] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 - (2*z^4)/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45456] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 18*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + (21*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45457] -> 4 - a^(-6) + 2/a^4 - 2/a^2 - 3*a^2 + a^4 + 
   7*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 
   6*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 45458] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45459] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45460] -> 
  -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - z^2/a^12 + (9*z^2)/a^10 - 
   (13*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - 
   (15*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (5*z^6)/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45461] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + z^4/a^12 - 
   (6*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 45462] -> 2*a^4 - 3*a^6 + 6*a^8 - 5*a^10 + 
   a^12 - a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 15*a^8*z^2 - 11*a^10*z^2 + 
   2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 + 14*a^8*z^4 - 9*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 45463] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 4*z^2 - z^2/a^8 + z^2/a^4 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45464] -> -4 + a^(-4) - a^(-2) + 9*a^2 - 4*a^4 - 
   9*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 11*z^4 + 
   (6*z^4)/a^4 - (11*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45465] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   11*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45466] -> -4/a^8 + 6/a^6 - a^(-4) - z^2/a^10 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 + z^6/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45467] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + z^2 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45468] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (11*z^2)/a^8 + (6*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45469] -> -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - 
   (5*z^2)/a^10 + (22*z^2)/a^8 - (20*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^10 + (31*z^4)/a^8 - (41*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (34*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 45470] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - 
   a^(-4) + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (3*z^2)/a^6 - 
   (10*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (6*z^4)/a^6 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45471] -> -a^(-14) + 4/a^12 - 6/a^10 + 2/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (8*z^2)/a^12 - (9*z^2)/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45472] -> 9 - 4/a^2 - 4*a^2 + 48*z^2 + (8*z^2)/a^4 - 
   (34*z^2)/a^2 - 18*a^2*z^2 + 86*z^4 + (12*z^4)/a^4 - (60*z^4)/a^2 - 
   28*a^2*z^4 + 74*z^6 + (6*z^6)/a^4 - (44*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 45473] -> 4 - a^(-4) - 2*a^2 + 18*z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 - 9*a^2*z^2 + 24*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (6*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45474] -> 
  4 - a^(-4) - 2*a^2 + 12*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   7*a^2*z^2 + 17*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 
   9*a^2*z^4 + 14*z^6 + z^6/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45475] -> -1 - 2/a^4 + 4/a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^8 - 
   (6*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 45476] -> 
  2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   z^2/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   z^4/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45477] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 - z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (10*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45478] -> 3 + 2/a^6 - 2/a^4 - 2/a^2 + 3*z^2 + 
   z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45479] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 45480] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - 
   a^8 + z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + 
   z^4/a^2 - 6*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   8*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 45481] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45482] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + z^2/a^10 + 
   z^2/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (4*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45483] -> -a^(-8) + 2/a^4 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^8 + (3*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45484] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 45485] -> 1 - a^2 + 5*a^4 - 7*a^6 + 3*a^8 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 9*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 45486] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 + 3*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 + 13*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45487] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 13*z^2 - 
   (5*z^2)/a^6 + (16*z^2)/a^4 - (6*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - 
   (4*z^4)/a^6 + (19*z^4)/a^4 - (10*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45488] -> 
  3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 10*a^2*z^2 + 
   5*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45489] -> 3 + 2/a^4 - 4/a^2 + 6*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 45490] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 
   z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 45491] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 45492] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 11*z^4 - z^4/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 + 
   2*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45493] -> 
  3*a^4 - 3*a^6 + 3*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 
   3*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + a^4*z^4 - 
   4*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 45494] -> 
  a^2 + a^10 - a^12 + z^2 + z^2/a^2 - a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 45495] -> 
  -2 - a^(-6) + 4/a^4 - 2/a^2 + a^2 + a^4 - 6*z^2 - z^2/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 45496] -> 
  3*a^8 - a^10 - a^14 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 + 
   2*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^6*z^4 + a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 45497] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   z^2/a^2 + a^2*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 45498] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 + 
   z^2/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45499] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   14*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45500] -> -a^(-4) + 2/a^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^10 + z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45501] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 15*z^2 - z^2/a^6 + (18*z^2)/a^4 - 
   (33*z^2)/a^2 + 25*z^4 - (4*z^4)/a^6 + (34*z^4)/a^4 - (69*z^4)/a^2 + 
   19*z^6 - (4*z^6)/a^6 + (31*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 45502] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 
   4*z^2 - z^2/a^6 + (13*z^2)/a^4 - (21*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (14*z^4)/a^4 - (24*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (14*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45503] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (6*z^2)/a^10 + (14*z^2)/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 - (8*z^4)/a^10 + (31*z^4)/a^8 - (26*z^4)/a^6 + (10*z^4)/a^4 - 
   (5*z^6)/a^10 + (30*z^6)/a^8 - (38*z^6)/a^6 + (12*z^6)/a^4 - z^8/a^10 + 
   (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 45504] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (5*z^2)/a^6 + (5*z^2)/a^4 - (3*z^4)/a^10 + (12*z^4)/a^8 - (8*z^4)/a^6 + 
   (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45505] -> 
  -2/a^6 + 3/a^4 + 4*z^2 - (7*z^2)/a^6 + (20*z^2)/a^4 - (14*z^2)/a^2 + 
   12*z^4 - (9*z^4)/a^6 + (37*z^4)/a^4 - (37*z^4)/a^2 + 13*z^6 - 
   (5*z^6)/a^6 + (32*z^6)/a^4 - (43*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 45506] -> a^(-8) - 3/a^6 + 2/a^4 + 
   a^(-2) + (5*z^2)/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 
   (8*z^4)/a^8 - (30*z^4)/a^6 + (28*z^4)/a^4 - (9*z^4)/a^2 + (5*z^6)/a^8 - 
   (30*z^6)/a^6 + (38*z^6)/a^4 - (12*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (25*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 45507] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 
   2*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + (8*z^4)/a^4 - 3*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (7*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45508] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 8*z^2 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 14*z^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 45509] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45510] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 - (6*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 
   z^4 + (4*z^4)/a^4 - (6*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45511] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - z^2/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 45512] -> -a^6 + 7*a^8 - 5*a^10 + 2*a^4*z^2 - 
   5*a^6*z^2 + 25*a^8*z^2 - 11*a^10*z^2 + 7*a^4*z^4 - 22*a^6*z^4 + 
   41*a^8*z^4 - 12*a^10*z^4 + 11*a^4*z^6 - 34*a^6*z^6 + 35*a^8*z^6 - 
   6*a^10*z^6 + 6*a^4*z^8 - 24*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 45513] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 + a^2*z^2 - a^4*z^2 + 5*a^6*z^2 + 
   10*a^8*z^2 - 5*a^10*z^2 + 2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45514] -> -2*a^4 + 7*a^6 - 3*a^8 - a^10 + 2*a^2*z^2 - 
   7*a^4*z^2 + 17*a^6*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 
   13*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45515] -> 
  -4*a^2 + 11*a^4 - 6*a^6 + 2*z^2 - 16*a^2*z^2 + 34*a^4*z^2 - 13*a^6*z^2 + 
   9*z^4 - 33*a^2*z^4 + 48*a^4*z^4 - 13*a^6*z^4 + 12*z^6 - 39*a^2*z^6 + 
   37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 45516] -> 
  -1 + 6*a^4 - 4*a^6 - z^2 - 2*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 
   6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45517] -> 
  a^2 + 4*a^4 - 7*a^6 + 3*a^8 + a^2*z^2 + 11*a^4*z^2 - 23*a^6*z^2 + 
   10*a^8*z^2 - 6*a^2*z^4 + 24*a^4*z^4 - 40*a^6*z^4 + 12*a^8*z^4 - 
   11*a^2*z^6 + 34*a^4*z^6 - 35*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 
   24*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 45518] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 + 
   4*a^2*z^2 - 2*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 
   a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 45519] -> 5*a^2 - 6*a^4 + a^6 + a^8 - 
   2*z^2 + 11*a^2*z^2 - 14*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 
   14*a^2*z^4 - 12*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 
   a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45520] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (3*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (6*z^4)/a^10 - (15*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 45521] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (4*z^4)/a^6 - (23*z^4)/a^4 + (6*z^4)/a^2 + z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (15*z^6)/a^4 - (3*z^8)/a^6 - (4*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 45522] -> -3*a^2 + 9*a^4 - 5*a^6 + z^2 - 
   18*a^2*z^2 + 40*a^4*z^2 - 17*a^6*z^2 + 4*z^4 - 35*a^2*z^4 + 73*a^4*z^4 - 
   26*a^6*z^4 + 4*z^6 - 31*a^2*z^6 + 68*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 45523] -> -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + 
   z^2/a^2 - 2*a^2*z^2 + 21*a^4*z^2 - 10*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45524] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45525] -> 3 - a^(-2) - a^2 + 3*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 6*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 45526] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   17*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45527] -> -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 
   8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45528] -> -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45529] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45530] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 45531] -> 1 - 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45532] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (10*z^2)/a^10 + (7*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - (11*z^4)/a^10 + (2*z^4)/a^8 + 
   (5*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (6*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45533] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + 
   z^2/a^16 - (14*z^2)/a^14 + (9*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (15*z^4)/a^12 + (19*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 45534] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 8*a^2*z^2 + 
   5*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45535] -> 2 - a^(-4) + a^(-2) - a^2 + 13*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 20*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45536] -> 
  2 - a^(-4) + a^(-2) - a^2 + 14*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 
   5*a^2*z^2 + 37*z^4 + (8*z^4)/a^4 - (31*z^4)/a^2 - 12*a^2*z^4 + 43*z^6 + 
   (5*z^6)/a^4 - (31*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 45537] -> -a^(-4) + 2/a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 10*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45538] -> 4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45539] -> 
  2 - a^(-4) + a^(-2) - a^2 + 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45540] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45541] -> 
  2*a^4 - a^8 - 3*z^2 + 4*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 
   3*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 
   4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 45542] -> 
  -1 + 3*a^2 - a^6 - z^2 - z^2/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^8*z^2 + 
   z^4 + z^4/a^2 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 45543] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 8*a^6*z^2 - 12*a^8*z^2 + 6*a^10*z^2 - a^2*z^4 + 9*a^6*z^4 - 
   13*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 45544] -> 6 - 3/a^2 - a^2 - a^4 + 11*z^2 + z^2/a^4 - 
   (7*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45545] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 2*z^2 - 
   4*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 45546] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 16*z^2 + 
   (2*z^2)/a^4 + 23*a^2*z^2 - 8*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 + 2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 45547] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (13*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (12*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (12*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45548] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 + 
   z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45549] -> 6 - a^(-2) - 7*a^2 + 3*a^4 + 9*z^2 - 
   19*a^2*z^2 + 8*a^4*z^2 + 3*z^4 - z^4/a^4 + (4*z^4)/a^2 - 22*a^2*z^4 + 
   8*a^4*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45550] -> 1 + 8*z^2 - z^2/a^4 - 12*a^2*z^2 + 
   5*a^4*z^2 + 11*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 21*a^2*z^4 + 7*a^4*z^4 + 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 14*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45551] -> 4 + a^(-4) - 3/a^2 - a^2 + 7*z^2 + z^2/a^6 - 
   (6*z^2)/a^2 - 2*a^2*z^2 + 8*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45552] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 6*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 45553] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 4*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45554] -> 4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 
   2*a^4*z^2 + 12*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 5*a^4*z^4 + 9*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 45555] -> a^4 + a^6 - a^8 + a^10 - a^12 + z^2 + 
   z^2/a^2 - a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 4*a^2*z^4 - 
   3*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 45556] -> -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 
   7*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   z^4/a^8 + (6*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 45557] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 4*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 45558] -> 
  3 - a^(-2) - a^2 + 3*z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45559] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45560] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 - (2*z^2)/a^4 - 
   3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 45561] -> 
  3*a^6 - 2*a^8 + a^10 - a^12 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[15, Alternating, 45562] -> 
  -a^2 + 2*a^4 + 2*a^6 - a^8 - a^10 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 + 
   4*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + 2*a^4*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 45563] -> 
  2 - 2*a^4 + a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   2*a^8*z^2 + 4*z^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 5*a^6*z^4 + a^8*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 45564] -> 3 + a^(-2) - 5*a^2 + a^4 + a^8 + 
   5*z^2 - z^2/a^2 - 10*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45565] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 + z^2 + 
   4*a^4*z^2 - 9*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - z^4 - 2*a^2*z^4 + 
   4*a^4*z^4 - 7*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 5*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 45566] -> 
  a^4 + 3*a^8 - 4*a^10 + a^12 + a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 
   6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 - 
   5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 45567] -> 
  -2 + 3/a^2 - a^2 + a^8 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + z^4/a^2 - a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 45568] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 16*a^2*z^4 - 
   13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45569] -> 1 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + 33*z^4 + (5*z^4)/a^4 - (24*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + 
   (4*z^6)/a^4 - (26*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 45570] -> -1 + a^(-2) + a^2 + 5*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 14*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 45571] -> 
  2 - 3*a^2 + 5*a^6 - 3*a^8 + 2*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 - 6*a^4*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - a^2*z^4 - 16*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45572] -> -1 + a^(-2) - a^2 + 3*a^4 - a^8 - 3*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 45573] -> -a^(-6) + 4/a^4 - 3/a^2 + a^4 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45574] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (20*z^4)/a^8 - (20*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 45575] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 
   z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (20*z^2)/a^4 - (9*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (19*z^4)/a^6 + (30*z^4)/a^4 - (8*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (25*z^6)/a^4 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 45576] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 - z^4 + z^4/a^10 - (6*z^4)/a^8 + (4*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45577] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45578] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 4*z^2 + 
   13*a^2*z^2 - 13*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 45579] -> -a^(-10) + a^(-8) + a^(-2) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^4 + z^4/a^12 - 
   (8*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45580] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 20*z^2 - (6*z^2)/a^4 + (17*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45581] -> 1 + a^2 - 2*a^4 + a^6 - 3*z^2 + 8*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 15*a^2*z^4 - 
   13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45582] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 
   16*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - 
   z^4/a^4 + (12*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 45583] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 
   11*z^2 - (10*z^2)/a^4 + (23*z^2)/a^2 + a^2*z^2 - 12*z^4 - (3*z^4)/a^6 - 
   z^4/a^4 + (22*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45584] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (9*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45585] -> 1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45586] -> -1 + a^(-2) + a^2 - 9*z^2 + (3*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45587] -> 1 + 3/a^4 - 4/a^2 + a^4 - 2*z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 45588] -> 
  a^2 + a^4 - a^6 + 3*z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 45589] -> -2/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (16*z^4)/a^10 + (23*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (23*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45590] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + (9*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45591] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2/a^12 - (5*z^2)/a^10 + (8*z^2)/a^8 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 + 
   (2*z^4)/a^6 - z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (6*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45592] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^14 - (6*z^2)/a^12 + (13*z^2)/a^10 - (13*z^2)/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^4)/a^12 + (17*z^4)/a^10 - (21*z^4)/a^8 + (7*z^4)/a^6 + 
   z^4/a^4 + (6*z^6)/a^10 - (15*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 45593] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 - z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 45594] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 
   6*z^4 - z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45595] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45596] -> -a^(-8) + 2/a^4 - z^2 + z^2/a^12 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 - z^4 - (3*z^4)/a^10 + 
   (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 45597] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 6*z^2 - z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45598] -> 1 + 5*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 + z^6 - (2*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 45599] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 45600] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 45601] -> 
  -4 + 3/a^2 + a^2 + a^4 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 45602] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45603] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45604] -> -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45605] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 45606] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 
   5*a^2*z^2 - 12*a^4*z^2 + 19*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 20*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 45607] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 2*a^2*z^2 + 6*a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 45608] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 45609] -> -a^(-14) + 3/a^12 - 4/a^10 + 2/a^8 + 
   a^(-2) - z^2/a^14 + (5*z^2)/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 45610] -> -2 + 2/a^2 + 2*a^6 - a^8 - 3*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 45611] -> 2*a^2 - 2*a^4 + a^6 + a^8 - 
   a^10 + z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 - (3*z^4)/a^2 + a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + 2*z^6 + 
   3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 45612] -> 
  -1 - a^(-10) + 3/a^8 - a^(-6) - a^(-4) + 2*a^2 - 4*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 45613] -> 
  2/a^6 - 2/a^4 + a^4 - 2*z^2 - z^2/a^10 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2, Knot[15, Alternating, 45614] -> 
  -1 + a^(-4) + a^4 - 2*z^2 - (2*z^2)/a^2 + a^2*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 45615] -> 
  2 + 2/a^6 - 3/a^4 + 4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 - 
   a^4*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, 
 Knot[15, Alternating, 45616] -> a^4 + a^6 - a^10 + 2*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + a^12*z^2 - z^4 - a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 45617] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 3*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 
   a^10*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 45618] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 45619] -> 1 - a^4 + 2*a^6 - a^8 + 3*z^2 - 4*a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 5*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45620] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 45621] -> 2/a^2 - 2*a^2 + a^8 - z^2 - z^2/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + 
   z^4/a^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 45622] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^6 + 
   (2*z^2)/a^2 - a^4*z^2 + 2*z^4 + z^4/a^8 + z^4/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 45623] -> 
  a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 45624] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 3*z^2 + (5*z^2)/a^8 - 
   (6*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 45625] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + z^2/a^6 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 - 
   (9*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45626] -> 
  2/a^16 - 7/a^14 + 5/a^12 + a^(-6) - (10*z^2)/a^14 + (11*z^2)/a^12 + 
   (4*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (11*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 45627] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + 
   z^2/a^12 - (6*z^2)/a^10 + (10*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45628] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + 
   z^2/a^10 - (6*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (4*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (5*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45629] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 - 
   3*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - z^4 + 2*a^2*z^4 - 
   9*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 45630] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   6*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (15*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (21*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 45631] -> -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 45632] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - z^2/a^8 - (10*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (12*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (12*z^6)/a^8 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 45633] -> a^(-8) - a^(-6) - 2/a^4 + 
   3/a^2 + z^2 - z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^8 - z^6/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 45634] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (15*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45635] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45636] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2/a^10 - 
   (6*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^10 - 
   (2*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45637] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 + z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45638] -> 2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 
   5*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 + z^4/a^6 - (6*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45639] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 45640] -> 
  2 + a^(-8) - 4/a^6 + 4/a^4 - a^(-2) - a^2 + 3*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 2*a^2*z^2 + 4*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45641] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 9*z^4 - (3*z^4)/a^6 - z^4/a^4 + 
   (9*z^4)/a^2 - a^4*z^4 + 4*z^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 45642] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 22*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 45643] -> 
  a^2 + a^6 - a^8 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 45644] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 3*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 9*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - (3*z^4)/a^2 + 
   13*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 
   9*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45645] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 45646] -> 2*a^8 + a^12 - 2*a^14 + 
   4*a^4*z^2 + 5*a^8*z^2 + 4*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + 4*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   3*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 45647] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 
   2*a^10 - a^12 + 2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 6*a^6*z^4 - 12*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 45648] -> -1 + a^(-2) + 3*a^2 - 3*a^4 + a^8 - 5*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 45649] -> a^6 - a^8 + 4*a^10 - 2*a^12 - a^14 + 
   2*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 9*a^10*z^2 + a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 45650] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 45651] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45652] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (10*z^2)/a^8 - (14*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (19*z^4)/a^8 - (28*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (25*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 45653] -> 2/a^12 - 5/a^10 + a^(-8) + 
   3/a^6 - z^2/a^14 + (4*z^2)/a^12 - (7*z^2)/a^10 + (8*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 45654] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - (3*z^2)/a^10 + (17*z^2)/a^8 - 
   (24*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (25*z^4)/a^8 - 
   (40*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (31*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45655] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 - (17*z^4)/a^4 + (3*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45656] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2/a^12 + (5*z^2)/a^10 - (9*z^2)/a^8 + 
   (14*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (21*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - 
   (15*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^4, Knot[15, Alternating, 45657] -> -2 + 5*a^2 - a^4 - a^6 - 
   12*z^2 + (2*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 - 16*z^4 + 
   (3*z^4)/a^2 + 24*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   14*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45658] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - (2*z^2)/a^12 + (8*z^2)/a^10 - 
   (12*z^2)/a^8 + (9*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (19*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^10 - (13*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 45659] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45660] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (20*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (18*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 45661] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 21*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 + 9*a^2*z^2 - a^4*z^2 - 25*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (18*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45662] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 
   7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + a^4*z^2 - 
   5*z^4 + (4*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45663] -> -2 + a^(-2) + 4*a^2 - 2*a^4 - a^6 + a^8 - 
   9*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - (2*z^6)/a^2 - 
   2*a^2*z^6, Knot[15, Alternating, 45664] -> a^(-6) - 2/a^4 + 2/a^2 - a^2 + 
   a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 45665] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45666] -> 
  -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 20*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - (2*z^4)/a^4 + (16*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45667] -> 2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 + z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - z^6 + 
   z^6/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 45668] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   a^(-6) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - z^2/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (4*z^4)/a^8 - 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 45669] -> 4 - a^(-10) + 2/a^8 + a^(-6) - 
   a^(-4) - 4/a^2 + 4*z^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + 
   (8*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45670] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 4*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45671] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 45672] -> 2*a^2 - a^4 + z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45673] -> 
  -2 + 2/a^2 + 2*a^2 - 2*a^4 + a^8 - 4*z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 45674] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 - (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (11*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45675] -> -a^(-14) + 4/a^12 - 6/a^10 + 3/a^8 - 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (12*z^2)/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (12*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 45676] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + a^(-6) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - 
   (2*z^2)/a^10 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 45677] -> 
  -1 - a^(-10) + 3/a^8 - 2/a^6 + a^(-4) - a^(-2) + 2*a^2 - 4*z^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 45678] -> 
  3 + a^(-6) - 3/a^2 + 6*z^2 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45679] -> 1 + a^(-6) - 2/a^2 + a^2 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - z^4/a^4 - z^4/a^2 + 
   2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 45680] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - 
   z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 45681] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 23*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 45682] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 45683] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 2*a^4*z^2 + 
   11*a^6*z^2 - 13*a^8*z^2 + 6*a^10*z^2 - a^2*z^4 + 10*a^6*z^4 - 13*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 45684] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 8*a^2*z^2 - 18*a^4*z^2 + 18*a^6*z^2 - 
   7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 9*a^2*z^4 - 24*a^4*z^4 + 19*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 45685] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   4*a^2*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45686] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 17*z^2 - (7*z^2)/a^4 + (19*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (24*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45687] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 45688] -> a^(-6) - a^(-2) + a^4 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - z^4/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 45689] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45690] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2/a^2 - a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 4*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 45691] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 
   6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 45692] -> 
  -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 2*a^4*z^2 - a^6*z^2 - 2*z^4 + 
   z^4/a^6 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 45693] -> 
  a^2 + a^4 - a^6 + 2*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 2*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 
   3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 45694] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 45695] -> a^(-2) + a^2 - 2*a^4 + a^8 + 
   2*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   5*z^4 - z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 
   3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 45696] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   a^4*z^2 + z^4 + z^4/a^8 - z^4/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 45697] -> 
  3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 
   5*a^8*z^2 + a^10*z^2 + 4*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 45698] -> a^2 + a^6 - 2*a^8 + 2*a^10 - 
   a^12 + z^2/a^2 + a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - 
   2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 5*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   2*a^6*z^6, Knot[15, Alternating, 45699] -> a^(-2) + a^2 - 2*a^4 + a^8 - 
   z^2 - z^2/a^6 + 2*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 45700] -> a^6 + 2*a^10 - a^12 - a^14 + z^2 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 4*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 - a^10*z^4, 
 Knot[15, Alternating, 45701] -> a^2 + a^4 - a^6 + 4*z^2 - (3*z^2)/a^2 - 
   a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 6*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 45702] -> 
  -1 + 4*a^2 - 2*a^4 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   a^4*z^4 + (2*z^6)/a^4 - (2*z^6)/a^2 - 2*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45703] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - (5*z^2)/a^10 + (14*z^2)/a^8 - 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (9*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45704] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) + 
   z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (5*z^4)/a^8 - (8*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45705] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 2*a^2*z^2 + 7*a^6*z^2 - 14*a^8*z^2 + 
   12*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 12*a^6*z^4 - 
   21*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 
   14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 45706] -> 2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - a^2*z^2 - 
   8*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 6*a^2*z^4 - 
   16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45707] -> -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 6*z^2 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 45708] -> 
  2*a^8 + 2*a^10 - 3*a^12 + 2*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 45709] -> 
  -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 8*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 
   14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45710] -> -a^6 + 7*a^8 - 5*a^10 + 3*a^2*z^2 - 
   4*a^4*z^2 + a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + 7*a^2*z^4 - 13*a^4*z^4 - 
   2*a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 7*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45711] -> 
  -a^4 + 3*a^6 + 2*a^8 - 3*a^10 + z^2 + a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 + 
   7*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 45712] -> 
  -2*a^4 + 7*a^6 - 3*a^8 - a^10 + 2*z^2 - a^2*z^2 - 5*a^4*z^2 + 15*a^6*z^2 - 
   2*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 45713] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + a^2*z^2 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 45714] -> 4/a^12 - 11/a^10 + 7/a^8 + a^(-6) - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (32*z^2)/a^10 + (19*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^4)/a^14 + (26*z^4)/a^12 - (42*z^4)/a^10 + 
   (15*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (32*z^6)/a^10 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 45715] -> 
  2/a^12 - 4/a^10 - a^(-8) + 4/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (10*z^2)/a^10 - (3*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (9*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 45716] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (2*z^2)/a^10 + (12*z^2)/a^8 - 
   (16*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (22*z^4)/a^8 - 
   (33*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (29*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45717] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + 
   z^2/a^2 + 6*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45718] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 45719] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (7*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45720] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 45721] -> -1 + 5*a^2 - 4*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + z^4/a^4 + 
   13*a^2*z^4 - 6*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 45722] -> 
  -2 + 6*a^2 - 3*a^4 - 11*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 3*a^4*z^2 - 
   2*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 12*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45723] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 45724] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45725] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - z^2/a^14 - z^2/a^12 - z^2/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 - z^4/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 45726] -> 2/a^16 - 5/a^14 + a^(-12) + a^(-10) + 
   2/a^8 - (10*z^2)/a^14 + (7*z^2)/a^12 + (7*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 - (3*z^4)/a^14 + (12*z^4)/a^12 + (12*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 45727] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 2*z^2 + (3*z^2)/a^8 - 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 - 
   (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45728] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 45729] -> 
  a^(-12) - 3/a^10 + a^(-8) + 2/a^6 - a^(-4) + a^(-2) + z^2/a^12 - 
   (4*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 + (5*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45730] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - z^2/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 45731] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 45732] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^6 + (2*z^2)/a^4 + a^4*z^2 - 7*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*a^4*z^4 - 6*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 45733] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 - (2*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 45734] -> -1 + a^(-4) + a^4 - z^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 45735] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 - (11*z^2)/a^14 + (9*z^2)/a^12 + 
   (7*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + 
   (13*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 45736] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 + 
   5*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - a^2*z^4 + 
   3*a^4*z^4 - a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 45737] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 + 
   4*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   a^2*z^4 + a^4*z^4 - 7*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 45738] -> 1 + 2*a^2 - 3*a^4 + a^8 + z^2 + a^2*z^2 - 
   4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + a^2*z^4 - 
   a^4*z^4 - 4*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 45739] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 45740] -> 
  -3 + 3/a^2 + a^2 - a^4 + a^8 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 45741] -> 2*a^4 - a^8 - z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45742] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - a^8*z^2 - 
   2*z^4 + z^4/a^4 + z^4/a^2 + 4*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 45743] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - z^4 - 2*a^2*z^4 + 4*a^4*z^4 - 5*a^8*z^4 + 
   a^10*z^4 - z^6 + a^2*z^6 + 5*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 45744] -> 
  -1 + a^(-2) + 4*a^2 - 5*a^4 + a^6 + a^8 - 3*z^2 - z^2/a^2 + 10*a^2*z^2 - 
   10*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 - (3*z^4)/a^2 + 13*a^2*z^4 - 
   5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 9*a^2*z^6 + 
   2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45745] -> 1 + a^(-2) - a^2 - a^4 + a^8 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^4 + 
   4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 45746] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 + 
   6*a^6*z^2 - 11*a^8*z^2 + 11*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 
   8*a^4*z^4 + 12*a^6*z^4 - 20*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 45747] -> 
  3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + z^2 - a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 + 
   2*a^4*z^4 - 2*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 45748] -> 
  2*a^8 + a^10 - a^12 - a^14 + 2*a^4*z^2 + 3*a^6*z^2 + 3*a^8*z^2 + 
   7*a^10*z^2 + 2*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + 
   6*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - 
   a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 45749] -> 3*a^8 - a^10 - a^14 + a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 6*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 
   3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 45750] -> 
  a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 + a^2*z^2 - 4*a^4*z^2 + 
   12*a^6*z^2 - 12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   5*a^4*z^4 + 10*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 45751] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   3*z^2 + z^2/a^4 + 4*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 45752] -> 
  a^6 - a^8 + 5*a^10 - 4*a^12 + a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   11*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - a^6*z^4 - 
   4*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 45753] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 5*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 45754] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 + 2*z^2 - a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 + 
   2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 5*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 45755] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + 2/a^4 + z^2 + (4*z^2)/a^12 - (2*z^2)/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 45756] -> 4*a^4 - 4*a^6 + 2*a^10 - a^12 + z^2 - 
   a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 45757] -> 1 - a^(-10) + 2/a^8 - a^(-6) + z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 45758] -> -1 - 2/a^6 + 5/a^4 - 2/a^2 + a^4 - 5*z^2 - 
   z^2/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 45759] -> 
  4*a^8 - 3*a^10 + a^12 - a^14 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 + 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 45760] -> 2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + 
   2*z^2 - (3*z^2)/a^8 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 45761] -> 
  2 - a^(-2) + a^2 - 2*a^4 + 2*a^6 - a^8 + 5*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 45762] -> -a^2 + 2*a^4 + 2*a^6 - a^8 - 
   a^10 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - 
   z^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 45763] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (3*z^2)/a^8 - (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - 
   (6*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45764] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45765] -> a^2 + a^4 - a^6 + z^2/a^2 - 3*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 7*a^4*z^4 - 
   2*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45766] -> 
  2*a^2 - a^4 - 4*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + z^4/a^4 + 
   3*a^2*z^4 + a^4*z^4 - a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45767] -> -a^2 + 5*a^4 - 3*a^6 + 3*z^2 - 17*a^2*z^2 + 
   30*a^4*z^2 - 12*a^6*z^2 + 7*z^4 - 39*a^2*z^4 + 63*a^4*z^4 - 22*a^6*z^4 + 
   5*z^6 - 35*a^2*z^6 + 63*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 45768] -> 3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 22*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45769] -> a^2 + a^4 - a^6 - 7*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 + 
   15*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45770] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - 
   (3*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45771] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45772] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 
   5*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 45773] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45774] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + z^2/a^6 - z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 9*a^2*z^4 - 
   a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45775] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - z^4/a^2 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 45776] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - z^2 + 
   z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45777] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 45778] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 + z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 14*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45779] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^6 - z^2/a^4 + 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 45780] -> -3 + a^(-4) + 4*a^2 - a^4 - 4*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + z^4/a^6 + 
   z^4/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 45781] -> 13 - 6/a^2 - 6*a^2 + 48*z^2 + (4*z^2)/a^4 - 
   (27*z^2)/a^2 - 19*a^2*z^2 + 79*z^4 + (8*z^4)/a^4 - (46*z^4)/a^2 - 
   26*a^2*z^4 + 69*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 45782] -> 5 - 2/a^4 + a^(-2) - 3*a^2 + 
   18*z^2 + z^2/a^6 - (5*z^2)/a^4 - 9*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 45783] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (16*z^2)/a^4 - (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (16*z^4)/a^4 - z^4/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 45784] -> -a^(-8) + 2/a^4 - z^2/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 - (4*z^4)/a^10 + (5*z^4)/a^6 - 
   z^4/a^4 + z^6/a^12 - (6*z^6)/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 45785] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2/a^12 - (4*z^2)/a^10 + 
   (8*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 + (2*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 45786] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (2*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 45787] -> 
  -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - 
   z^2/a^2 + (7*z^4)/a^8 - (25*z^4)/a^6 + (27*z^4)/a^4 - (9*z^4)/a^2 + 
   (5*z^6)/a^8 - (29*z^6)/a^6 + (38*z^6)/a^4 - (12*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (25*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 45788] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + 
   (8*z^4)/a^4 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (5*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45789] -> -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (20*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (10*z^4)/a^10 - z^4/a^8 + (25*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45790] -> -3/a^8 + 4/a^6 + z^2/a^12 - z^2/a^10 - 
   (6*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45791] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 5*a^2*z^2 - 
   8*a^4*z^2 + 9*a^6*z^2 - a^8*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 9*a^6*z^4 + 
   6*a^8*z^4 - 6*a^2*z^6 + 15*a^4*z^6 - 22*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 
   17*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 45792] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   2*z^2 - a^2*z^2 + 2*a^6*z^2 + a^8*z^2 + z^4 - 3*a^2*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   3*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 45793] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 - (6*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + z^4/a^8 + (17*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45794] -> a^(-12) - 6/a^10 + 6/a^8 + (7*z^2)/a^12 - 
   (31*z^2)/a^10 + (39*z^2)/a^8 - (6*z^2)/a^6 + (11*z^4)/a^12 - 
   (52*z^4)/a^10 + (72*z^4)/a^8 - (17*z^4)/a^6 + (6*z^6)/a^12 - 
   (41*z^6)/a^10 + (65*z^6)/a^8 - (17*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + 
   (33*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + 
   z^12/a^8, Knot[15, Alternating, 45795] -> a^(-12) - 6/a^10 + 7/a^8 - 
   2/a^6 + a^(-4) + (4*z^2)/a^12 - (16*z^2)/a^10 + (18*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^4)/a^12 - (18*z^4)/a^10 + (18*z^4)/a^8 + (8*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (11*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 45796] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + (3*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + 
   (19*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (15*z^4)/a^10 + (5*z^4)/a^8 + 
   (23*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (8*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 45797] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - z^2/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45798] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 3*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45799] -> 
  -a^2 + 6*a^4 - 5*a^6 + a^8 - 2*a^2*z^2 + 14*a^4*z^2 - 14*a^6*z^2 + 
   5*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 9*a^4*z^4 - 18*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   6*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45800] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 11*z^2 - (9*z^2)/a^6 + (31*z^2)/a^4 - 
   (32*z^2)/a^2 + 21*z^4 - (12*z^4)/a^6 + (54*z^4)/a^4 - (65*z^4)/a^2 + 
   18*z^6 - (6*z^6)/a^6 + (42*z^6)/a^4 - (63*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 45801] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + 
   a^(-2) + 5*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - (8*z^2)/a^4 - (6*z^2)/a^2 + 
   8*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 - (16*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 45802] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + z^2 - 
   (5*z^2)/a^6 + (17*z^2)/a^4 - (15*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (4*z^4)/a^6 + (19*z^4)/a^4 - (16*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (11*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45803] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 - (7*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 45804] -> 
  2*a^4 - 7*a^6 + 13*a^8 - 7*a^10 + 13*a^4*z^2 - 36*a^6*z^2 + 52*a^8*z^2 - 
   18*a^10*z^2 + 22*a^4*z^4 - 68*a^6*z^4 + 73*a^8*z^4 - 17*a^10*z^4 + 
   18*a^4*z^6 - 64*a^6*z^6 + 49*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   33*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 45805] -> a^4 - 3*a^6 + 8*a^8 - 5*a^10 + 
   3*a^2*z^2 - 8*a^6*z^2 + 23*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 
   12*a^6*z^4 + 23*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   10*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45806] -> 
  a^2 - 2*a^4 + 7*a^8 - 5*a^10 + 7*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + 
   20*a^8*z^2 - 8*a^10*z^2 + 9*a^2*z^4 - 20*a^4*z^4 - 3*a^6*z^4 + 
   22*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 8*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45807] -> 
  a^2 - 3*a^4 + 4*a^6 + 2*a^8 - 3*a^10 + 2*z^2 + a^2*z^2 - 6*a^4*z^2 + 
   7*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 
   2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 45808] -> 
  -2*a^2 + 7*a^4 - 4*a^6 + 2*z^2 - 13*a^2*z^2 + 26*a^4*z^2 - 10*a^6*z^2 + 
   9*z^4 - 32*a^2*z^4 + 43*a^4*z^4 - 12*a^6*z^4 + 12*z^6 - 39*a^2*z^6 + 
   36*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 45809] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 - a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45810] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 11*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^6 + z^4/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45811] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 + z^2/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (6*z^4)/a^6 - (19*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (3*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45812] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + (8*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45813] -> -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (7*z^4)/a^10 + (26*z^4)/a^8 - 
   (25*z^4)/a^6 + (10*z^4)/a^4 - (5*z^6)/a^10 + (29*z^6)/a^8 - (38*z^6)/a^6 + 
   (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 45814] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (8*z^4)/a^6 + (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45815] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (9*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (12*z^4)/a^10 - (19*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 45816] -> 
  a^(-10) - 2/a^8 + 4/a^6 - 7/a^4 + 5/a^2 - 2*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (13*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - (21*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 45817] -> a^2 - 2*a^4 + a^6 + 5*a^8 - 4*a^10 + 
   5*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 8*a^2*z^4 - 
   19*a^4*z^4 + 5*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   15*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45818] -> a^2 - 3*a^4 + 5*a^6 - 2*a^10 + z^2 + 
   2*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 45819] -> 2*a^4 - 5*a^6 + 9*a^8 - 5*a^10 + 7*a^4*z^2 - 
   17*a^6*z^2 + 30*a^8*z^2 - 11*a^10*z^2 + 11*a^4*z^4 - 35*a^6*z^4 + 
   45*a^8*z^4 - 12*a^10*z^4 + 12*a^4*z^6 - 40*a^6*z^6 + 36*a^8*z^6 - 
   6*a^10*z^6 + 6*a^4*z^8 - 25*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 45820] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 13*a^8*z^2 - 
   5*a^10*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45821] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 5*z^2 - 
   21*a^2*z^2 + 29*a^4*z^2 - 10*a^6*z^2 + 10*z^4 - 37*a^2*z^4 + 44*a^4*z^4 - 
   12*a^6*z^4 + 12*z^6 - 40*a^2*z^6 + 36*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 45822] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   5*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   15*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45823] -> 11 - 5/a^2 - 5*a^2 + 50*z^2 + (5*z^2)/a^4 - 
   (30*z^2)/a^2 - 20*a^2*z^2 + 85*z^4 + (9*z^4)/a^4 - (51*z^4)/a^2 - 
   28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 45824] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   17*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 9*a^2*z^2 + 23*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45825] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + (10*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45826] -> 1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45827] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (5*z^2)/a^2 - z^4 + z^4/a^10 - (4*z^4)/a^8 - z^4/a^6 + 
   (9*z^4)/a^4 - (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + z^6/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 45828] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^12 + (8*z^2)/a^10 - 
   (12*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 + (2*z^4)/a^10 - 
   (15*z^4)/a^8 + (10*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (5*z^6)/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 45829] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45830] -> 
  -a^(-4) + 2/a^2 - 7*z^2 + (4*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45831] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 5*z^2 + (6*z^2)/a^6 - (16*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (2*z^4)/a^6 - (17*z^4)/a^4 + 
   (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45832] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45833] -> -a^(-4) + 2/a^2 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^6 + (9*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45834] -> -a^(-14) + 3/a^12 - 3/a^10 + 2/a^8 - 4/a^6 + 
   4/a^4 - (2*z^2)/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 - z^2/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (8*z^4)/a^10 - 
   (7*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 45835] -> -4 + a^(-8) - 4/a^6 + 8/a^2 - 
   12*z^2 + (4*z^2)/a^8 - (22*z^2)/a^6 + (20*z^2)/a^4 + (16*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + (44*z^4)/a^4 + (18*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (17*z^6)/a^6 + (37*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45836] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   5*z^2 + z^2/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (17*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*z^4 + z^4/a^10 - (7*z^4)/a^8 + (22*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45837] -> -3/a^6 + 5/a^4 - a^(-2) + (6*z^2)/a^8 - 
   (27*z^2)/a^6 + (39*z^2)/a^4 - (14*z^2)/a^2 + (11*z^4)/a^8 - (53*z^4)/a^6 + 
   (76*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (42*z^6)/a^6 + (69*z^6)/a^4 - 
   (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 45838] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 - 3*z^2 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (18*z^2)/a^4 - z^2/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (19*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45839] -> -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + (7*z^4)/a^8 - (28*z^4)/a^6 + 
   (35*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - (30*z^6)/a^6 + (43*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 45840] -> -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^10 - 
   (10*z^2)/a^8 + (9*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (15*z^4)/a^6 + (10*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^10 - 
   (11*z^6)/a^8 + (13*z^6)/a^6 + (12*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 45841] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 + (9*z^4)/a^4 - z^4/a^2 - z^6 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 45842] -> 
  2 + 2/a^6 - 3/a^4 - z^2 + (2*z^2)/a^8 - z^2/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45843] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   8*z^4 + (2*z^4)/a^4 + 11*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45844] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 12*z^2 - (9*z^2)/a^6 + (32*z^2)/a^4 - 
   (33*z^2)/a^2 + 24*z^4 - (12*z^4)/a^6 + (57*z^4)/a^4 - (72*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 45845] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (18*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45846] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 5*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - 
   (9*z^2)/a^4 - (5*z^2)/a^2 + 8*z^4 - (4*z^4)/a^8 + (20*z^4)/a^6 - 
   (17*z^4)/a^4 - (13*z^4)/a^2 + 5*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (14*z^6)/a^4 - (13*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 45847] -> 
  2 - a^(-8) + 2/a^6 - 2/a^2 + 3*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - 
   (8*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (11*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 45848] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   6*z^2 + 17*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 - 2*z^4 - (2*z^4)/a^2 + 
   19*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 45849] -> 2*a^4 - 2*a^6 + 4*a^10 - 
   3*a^12 + 4*a^2*z^2 + a^6*z^2 - 8*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 
   4*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 21*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 45850] -> 
  a^2 - a^4 + a^6 + 2*a^10 - 2*a^12 + 2*z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 
   5*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 45851] -> 
  2 - a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + 
   (5*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45852] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 11*z^4 + (5*z^4)/a^4 - (14*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45853] -> 2/a^6 - 5/a^4 + 4/a^2 + (7*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - 
   (21*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45854] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45855] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 - 
   z^6/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 45856] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 22*z^2 - 
   (2*z^2)/a^2 - 40*a^2*z^2 + 17*a^4*z^2 + 36*z^4 - (4*z^4)/a^2 - 
   73*a^2*z^4 + 26*a^4*z^4 + 31*z^6 - (4*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 45857] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + (4*z^2)/a^2 - 17*a^2*z^2 + 9*a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45858] -> 
  -2/a^6 + 3/a^4 - (3*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 + 4*z^4 - 
   (5*z^4)/a^6 + (17*z^4)/a^4 - (13*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (24*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 45859] -> -2/a^10 + 4/a^8 - 4/a^6 + 3/a^4 - 
   (6*z^2)/a^10 + (19*z^2)/a^8 - (17*z^2)/a^6 + (9*z^2)/a^4 - (8*z^4)/a^10 + 
   (35*z^4)/a^8 - (39*z^4)/a^6 + (14*z^4)/a^4 - (5*z^6)/a^10 + (31*z^6)/a^8 - 
   (44*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (26*z^8)/a^6 + 
   (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 45860] -> -2/a^6 + 3/a^4 + 4*z^2 - (5*z^2)/a^6 + 
   (16*z^2)/a^4 - (12*z^2)/a^2 + 12*z^4 - (8*z^4)/a^6 + (33*z^4)/a^4 - 
   (36*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - (43*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 45861] -> 
  2 + a^(-4) - 2/a^2 + 9*z^2 + (5*z^2)/a^4 - (13*z^2)/a^2 - 2*a^2*z^2 + 
   28*z^4 + (8*z^4)/a^4 - (30*z^4)/a^2 - 9*a^2*z^4 + 38*z^6 + (5*z^6)/a^4 - 
   (30*z^6)/a^2 - 12*a^2*z^6 + 25*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 45862] -> 
  3 + 2/a^4 - 4/a^2 + 8*z^2 + z^2/a^6 + (2*z^2)/a^4 - (11*z^2)/a^2 - 
   2*a^2*z^2 + 13*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (6*z^6)/a^4 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45863] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 11*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45864] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   2*a^2*z^2 - 11*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45865] -> 3 - a^(-2) - a^2 + 5*z^2 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 45866] -> 3*a^4 - 2*a^6 - 2*z^2 + 10*a^4*z^2 - 
   5*a^6*z^2 + z^4 - 8*a^2*z^4 + 22*a^4*z^4 - 8*a^6*z^4 + 7*z^6 - 
   20*a^2*z^6 + 25*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 18*a^2*z^8 + 12*a^4*z^8 - 
   a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 45867] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 10*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45868] -> 
  a^6 + 3*a^8 - 3*a^10 + 4*a^4*z^2 - 8*a^6*z^2 + 23*a^8*z^2 - 10*a^10*z^2 + 
   10*a^4*z^4 - 30*a^6*z^4 + 43*a^8*z^4 - 12*a^10*z^4 + 12*a^4*z^6 - 
   39*a^6*z^6 + 36*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 25*a^6*z^8 + 
   14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 45869] -> -a^4 + 5*a^6 - 2*a^8 - a^10 + 3*a^2*z^2 - 
   7*a^4*z^2 + 12*a^6*z^2 + 4*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 3*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45870] -> 
  -4*a^2 + 11*a^4 - 6*a^6 + 4*z^2 - 20*a^2*z^2 + 36*a^4*z^2 - 13*a^6*z^2 + 
   12*z^4 - 41*a^2*z^4 + 51*a^4*z^4 - 13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 
   38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 45871] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 + (2*z^2)/a^2 - 18*a^2*z^2 + 9*a^4*z^2 + 
   20*z^4 - (5*z^4)/a^2 - 38*a^2*z^4 + 12*a^4*z^4 + 33*z^6 - (11*z^6)/a^2 - 
   35*a^2*z^6 + 6*a^4*z^6 + 24*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 45872] -> 
  -4 + 3/a^2 + a^2 + a^4 - 12*z^2 - z^2/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 8*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 + 
   2*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45873] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 6*z^2 - 
   15*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (4*z^4)/a^2 - 14*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 45874] -> -3 + 3/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45875] -> 9 - 4/a^2 - 4*a^2 + 46*z^2 + (6*z^2)/a^4 - 
   (30*z^2)/a^2 - 18*a^2*z^2 + 81*z^4 + (11*z^4)/a^4 - (54*z^4)/a^2 - 
   26*a^2*z^4 + 70*z^6 + (6*z^6)/a^4 - (42*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 45876] -> 4 - a^(-4) - 2*a^2 + 18*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 45877] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + (4*z^2)/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 - 
   2*a^2*z^2 + 3*z^4 + (4*z^4)/a^6 - (21*z^4)/a^4 + (24*z^4)/a^2 - 
   5*a^2*z^4 + 8*z^6 + z^6/a^6 - (11*z^6)/a^4 + (16*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 45878] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (20*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45879] -> 3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 
   7*z^2 + z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 45880] -> 
  -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (11*z^2)/a^6 - 
   (25*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 + (4*z^4)/a^6 - 
   (24*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45881] -> 
  -9 - 2/a^4 + 8/a^2 + 4*a^2 - 25*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 24*z^4 - (2*z^4)/a^4 + (15*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45882] -> 3 - a^(-8) + 2/a^6 - a^(-4) - a^(-2) - a^2 + 
   6*z^2 + z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45883] -> 
  -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (22*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + 
   (26*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 45884] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45885] -> -a^(-14) + 3/a^12 - 3/a^10 + a^(-8) - 
   a^(-4) + 2/a^2 - z^2/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (3*z^4)/a^12 - (5*z^4)/a^10 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 45886] -> 
  3 + a^(-8) - 4/a^6 + 3/a^4 - 2*a^2 + 4*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (13*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 5*z^4 + z^4/a^8 - (13*z^4)/a^6 + 
   (17*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + 
   (10*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 45887] -> 1 + a^(-8) - 4/a^6 + 3/a^4 + a^(-2) - a^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - (3*z^4)/a^8 + z^4/a^6 + (9*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 45888] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + 
   z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - 
   (2*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 45889] -> -a^(-8) + 2/a^4 - z^2/a^10 + (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 - z^6/a^10 + (6*z^6)/a^8 - (5*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45890] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   15*a^4*z^2 + 14*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 
   23*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 45891] -> a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 45892] -> a^2 + a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - z^4 - 3*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + a^2*z^6 + 6*a^4*z^6 + 
   a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 45893] -> -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   6*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (12*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 45894] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 9*z^4 + (2*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45895] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 12*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45896] -> a^2 - a^4 + 2*a^6 - 2*a^8 + 3*a^10 - 
   2*a^12 + 2*z^2 - a^4*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 45897] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (11*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (13*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45898] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - z^2 - 
   (2*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 
   12*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 45899] -> 2*a^4 - a^6 - a^8 + 3*a^10 - 
   2*a^12 + 2*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 11*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 11*a^6*z^4 - 21*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 45900] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 45901] -> -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 45902] -> 
  a^6 + 3*a^8 - 3*a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 + 11*a^8*z^2 - 
   6*a^10*z^2 + 8*a^2*z^4 - 18*a^4*z^4 + 6*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45903] -> -a^4 + 5*a^6 - 2*a^8 - a^10 + 2*z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 - 2*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 
   9*a^4*z^4 + 9*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 45904] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 45905] -> 
  -3 + 8*a^2 - 4*a^4 - z^2 - z^2/a^2 + 9*a^2*z^2 - 3*a^4*z^2 + 17*z^4 - 
   (4*z^4)/a^2 - 17*a^2*z^4 + 8*a^4*z^4 + 24*z^6 - (4*z^6)/a^2 - 36*a^2*z^6 + 
   12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 
   8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 45906] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - (2*z^2)/a^2 + 4*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 45907] -> 
  -3 + 8*a^2 - 4*a^4 - 11*z^2 - z^2/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 
   4*a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 + 2*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45908] -> -3 + 8*a^2 - 4*a^4 - 19*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 23*a^2*z^2 - 7*a^4*z^2 - 24*z^4 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 + 18*a^2*z^4 - 2*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   2*a^2*z^6 + 2*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 45909] -> 1 - a^(-2) + 3*a^2 - 2*a^4 - 
   4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45910] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   a^2*z^4 + a^4*z^4 - z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 45911] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 15*z^2 + (2*z^2)/a^6 - (16*z^2)/a^4 + 
   (31*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 - (11*z^4)/a^4 + (32*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45912] -> 4 - a^(-4) - 2*a^2 + 9*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 8*z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 45913] -> 
  -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 - (7*z^2)/a^10 + (18*z^2)/a^8 - 
   z^2/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - (5*z^4)/a^10 + (24*z^4)/a^8 - 
   (9*z^4)/a^6 - (26*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (12*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45914] -> 1 - 2/a^10 + 3/a^8 + a^(-6) - 3/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   3*z^4 - z^4/a^10 + (7*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 45915] -> 
  -a^(-12) + a^(-10) + a^(-8) - 3/a^4 + 3/a^2 - (3*z^2)/a^12 + (7*z^2)/a^10 + 
   (4*z^2)/a^8 - (6*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^12 + 
   (8*z^4)/a^10 + z^4/a^8 - (14*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 45916] -> 
  1 - a^(-12) + a^(-10) + a^(-8) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (3*z^2)/a^10 + (4*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 + 
   (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 45917] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45918] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - z^4/a^8 + (8*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45919] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (10*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 45920] -> 
  -1 + 2/a^6 - 4/a^4 + 3/a^2 + a^2 - 10*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45921] -> -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 
   7*a^6*z^2 + 42*a^8*z^2 - 34*a^10*z^2 + 7*a^12*z^2 - 3*a^4*z^4 - 
   8*a^6*z^4 + 58*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + a^6*z^6 + 
   39*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 45922] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 2*a^4*z^2 + 8*a^6*z^2 + 12*a^8*z^2 - 
   14*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 13*a^6*z^4 + 12*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 45923] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (23*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (2*z^6)/a^6 - z^6/a^4 + (14*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 45924] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 
   4*a^2 - 26*z^2 - z^2/a^6 - (5*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 
   27*z^4 - (5*z^4)/a^6 + (2*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45925] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   7*z^2 + 22*a^2*z^2 - 22*a^4*z^2 + 7*a^6*z^2 - (4*z^4)/a^2 + 23*a^2*z^4 - 
   25*a^4*z^4 + 5*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 45926] -> 2*a^4 - 8*a^6 + 15*a^8 - 8*a^10 + 
   15*a^4*z^2 - 46*a^6*z^2 + 67*a^8*z^2 - 24*a^10*z^2 + 29*a^4*z^4 - 
   89*a^6*z^4 + 96*a^8*z^4 - 22*a^10*z^4 + 23*a^4*z^6 - 82*a^6*z^6 + 
   61*a^8*z^6 - 8*a^10*z^6 + 8*a^4*z^8 - 40*a^6*z^8 + 18*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 10*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 45927] -> a^4 - 4*a^6 + 10*a^8 - 6*a^10 + 4*a^2*z^2 - 
   3*a^4*z^2 - 8*a^6*z^2 + 29*a^8*z^2 - 11*a^10*z^2 + 8*a^2*z^4 - 
   12*a^4*z^4 - 13*a^6*z^4 + 30*a^8*z^4 - 6*a^10*z^4 + 5*a^2*z^6 - 
   13*a^4*z^6 - 13*a^6*z^6 + 13*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45928] -> 5*a^8 - 4*a^10 + 4*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 15*a^4*z^4 - 3*a^6*z^4 + 
   22*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45929] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 19*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   26*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 29*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45930] -> a^2 - 2*a^4 - a^6 + 9*a^8 - 6*a^10 + 
   7*a^2*z^2 - 12*a^4*z^2 + 27*a^8*z^2 - 11*a^10*z^2 + 11*a^2*z^4 - 
   22*a^4*z^4 - 6*a^6*z^4 + 29*a^8*z^4 - 6*a^10*z^4 + 6*a^2*z^6 - 
   18*a^4*z^6 - 11*a^6*z^6 + 13*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 
   6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45931] -> a^2 - 3*a^4 + 3*a^6 + 4*a^8 - 4*a^10 + 
   2*z^2 + a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 + 
   3*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 8*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 45932] -> a^2 - 4*a^4 + 7*a^6 - a^8 - 
   2*a^10 + 2*z^2 + a^2*z^2 - 9*a^4*z^2 + 14*a^6*z^2 + 4*a^8*z^2 - 
   3*a^10*z^2 + 3*z^4 - 2*a^2*z^4 - 12*a^4*z^4 + 7*a^6*z^4 + 6*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 8*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 45933] -> 
  2*a^4 - 7*a^6 + 13*a^8 - 7*a^10 + 11*a^4*z^2 - 32*a^6*z^2 + 50*a^8*z^2 - 
   18*a^10*z^2 + 19*a^4*z^4 - 60*a^6*z^4 + 70*a^8*z^4 - 17*a^10*z^4 + 
   17*a^4*z^6 - 59*a^6*z^6 + 48*a^8*z^6 - 7*a^10*z^6 + 7*a^4*z^8 - 
   32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 45934] -> a^4 - 3*a^6 + 8*a^8 - 5*a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 21*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 
   8*a^4*z^4 - 8*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 45935] -> 
  a^6 + 3*a^8 - 3*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 13*a^8*z^2 - 
   6*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45936] -> -a^2 + 10*a^4 - 13*a^6 + 5*a^8 - 7*a^2*z^2 + 
   43*a^4*z^2 - 61*a^6*z^2 + 24*a^8*z^2 - 11*a^2*z^4 + 65*a^4*z^4 - 
   105*a^6*z^4 + 35*a^8*z^4 - 6*a^2*z^6 + 47*a^4*z^6 - 89*a^6*z^6 + 
   24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 
   10*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[15, Alternating, 45937] -> 
  a^2 + 5*a^4 - 9*a^6 + 4*a^8 - 2*z^2 + 8*a^2*z^2 + 6*a^4*z^2 - 27*a^6*z^2 + 
   13*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 3*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45938] -> 3*a^2 - 5*a^6 + 3*a^8 - 2*z^2 + 11*a^2*z^2 - 
   6*a^4*z^2 - 15*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 13*a^4*z^4 - 
   22*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 45939] -> 4 - 2/a^2 - a^4 + 15*z^2 - 
   (6*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 31*z^4 - (8*z^4)/a^2 - 27*a^2*z^4 + 
   9*a^4*z^4 + 30*z^6 - (5*z^6)/a^2 - 38*a^2*z^6 + 12*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 45940] -> 5 - 2/a^2 - 2*a^2 + 11*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 9*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 13*a^2*z^4 + 5*a^4*z^4 - z^6/a^4 + (6*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 45941] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 7*z^2 - (5*z^2)/a^6 + (19*z^2)/a^4 - 
   (20*z^2)/a^2 + 13*z^4 - (8*z^4)/a^6 + (34*z^4)/a^4 - (41*z^4)/a^2 + 
   13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - (44*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 45942] -> -2/a^10 + 6/a^8 - 8/a^6 + 
   5/a^4 - (10*z^2)/a^10 + (34*z^2)/a^8 - (37*z^2)/a^6 + (16*z^2)/a^4 - 
   (12*z^4)/a^10 + (56*z^4)/a^8 - (68*z^4)/a^6 + (23*z^4)/a^4 - 
   (6*z^6)/a^10 + (42*z^6)/a^8 - (64*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 45943] -> 
  -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - (5*z^2)/a^10 + (16*z^2)/a^8 - 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (14*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45944] -> -a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   3/a^4 + 3/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 - (11*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - 
   (22*z^4)/a^8 + (18*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - 
   (15*z^6)/a^8 + (14*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 45945] -> 
  1 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 + z^4 + (3*z^4)/a^10 - (6*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 45946] -> 1 - a^2 + 2*a^4 - a^6 + 7*z^2 - 
   22*a^2*z^2 + 24*a^4*z^2 - 8*a^6*z^2 + 11*z^4 - 47*a^2*z^4 + 55*a^4*z^4 - 
   18*a^6*z^4 + 6*z^6 - 40*a^2*z^6 + 58*a^4*z^6 - 17*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 32*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 45947] -> 2 - 3*a^2 + 3*a^4 - a^6 - 
   2*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 9*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 20*a^4*z^4 - 8*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45948] -> 
  3 - 5*a^2 + 4*a^4 - a^6 - 2*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 + 11*a^4*z^2 - 
   4*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - a^2*z^4 + 14*a^4*z^4 - 6*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 45949] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 6*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - z^4/a^6 - 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 45950] -> 
  2 + a^(-6) - a^(-4) - 3*a^2 + 2*a^4 + 4*z^2 - (2*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 45951] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 + z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 + 5*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 45952] -> 2*a^4 - 3*a^6 + a^8 + 5*a^10 - 4*a^12 + 
   13*a^4*z^2 - 18*a^6*z^2 + 2*a^8*z^2 + 24*a^10*z^2 - 10*a^12*z^2 + 
   16*a^4*z^4 - 30*a^6*z^4 - 9*a^8*z^4 + 31*a^10*z^4 - 6*a^12*z^4 + 
   7*a^4*z^6 - 23*a^6*z^6 - 15*a^8*z^6 + 14*a^10*z^6 - a^12*z^6 + a^4*z^8 - 
   8*a^6*z^8 - 7*a^8*z^8 + 2*a^10*z^8 - a^6*z^10 - a^8*z^10, 
 Knot[15, Alternating, 45953] -> 2*a^4 - 3*a^6 + 2*a^8 + 3*a^10 - 3*a^12 + 
   4*a^2*z^2 + 2*a^4*z^2 - 9*a^6*z^2 + 7*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 
   4*a^2*z^4 - 3*a^4*z^4 - 15*a^6*z^4 + 2*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 4*a^4*z^6 - 10*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 
   2*a^6*z^8 - a^8*z^8, Knot[15, Alternating, 45954] -> 
  2*a^4 - 3*a^6 + 3*a^8 + a^10 - 2*a^12 + 4*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 
   9*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 4*a^4*z^4 - 13*a^6*z^4 + 
   4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 9*a^6*z^6 - 
   2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 45955] -> -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 5*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 
   5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 
   3*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 45956] -> a^2 - a^4 + a^8 + 3*a^10 - 3*a^12 + 
   6*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 
   5*a^2*z^4 - 7*a^4*z^4 - 13*a^6*z^4 + 2*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 5*a^4*z^6 - 10*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 
   2*a^6*z^8 - a^8*z^8, Knot[15, Alternating, 45957] -> 
  a^2 - a^4 + 2*a^8 + a^10 - 2*a^12 + 2*z^2 + 2*a^2*z^2 - 3*a^4*z^2 - 
   a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 - 
   6*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 45958] -> a^2 - a^4 + 3*a^8 - a^10 - a^12 + 
   2*z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 7*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 45959] -> 
  -1 + a^(-2) + a^2 - z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 14*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 7*a^2*z^4 + 23*z^6 + (6*z^6)/a^4 - (15*z^6)/a^2 - 
   5*a^2*z^6 + 12*z^8 + (5*z^8)/a^4 - (17*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 45960] -> 
  a^(-2) - a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 - 5*a^2*z^2 + 11*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^4*z^4 + 4*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45961] -> 2*a^2 - a^4 - 2*z^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 + z^4 - 7*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 + 7*z^6 - 
   20*a^2*z^6 + 24*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 18*a^2*z^8 + 12*a^4*z^8 - 
   a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 45962] -> 3*a^6 - a^8 - a^10 + 2*a^4*z^2 - a^6*z^2 + 
   13*a^8*z^2 - 7*a^10*z^2 + 7*a^4*z^4 - 21*a^6*z^4 + 35*a^8*z^4 - 
   11*a^10*z^4 + 11*a^4*z^6 - 34*a^6*z^6 + 34*a^8*z^6 - 6*a^10*z^6 + 
   6*a^4*z^8 - 24*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 
   2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 45963] -> 
  a^4 + a^6 - a^10 + a^2*z^2 + 2*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 
   2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 
   5*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 45964] -> -4*a^2 + 11*a^4 - 6*a^6 + 6*z^2 - 
   28*a^2*z^2 + 46*a^4*z^2 - 17*a^6*z^2 + 17*z^4 - 57*a^2*z^4 + 68*a^4*z^4 - 
   17*a^6*z^4 + 17*z^6 - 58*a^2*z^6 + 48*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 45965] -> -1 + 6*a^4 - 4*a^6 - 5*z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 8*z^4 + (5*z^4)/a^2 - 
   7*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 9*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 45966] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   7*z^2 + (5*z^2)/a^6 - (4*z^2)/a^4 - (9*z^2)/a^2 + 11*z^4 - (2*z^4)/a^6 + 
   (10*z^4)/a^4 - (31*z^4)/a^2 + 6*z^6 - (10*z^6)/a^6 + (28*z^6)/a^4 - 
   (33*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (23*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 45967] -> 2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45968] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 + z^2/a^6 + (3*z^2)/a^4 - (11*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45969] -> 1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45970] -> 
  -8 + 4/a^2 + 6*a^2 - a^4 - 23*z^2 + (2*z^2)/a^4 + (5*z^2)/a^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + (5*z^4)/a^4 - (4*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 45971] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 45972] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 7*z^2 + (2*z^2)/a^8 - z^2/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 - (7*z^4)/a^4 + 
   (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (3*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 45973] -> -8 + 4/a^2 + 6*a^2 - a^4 - 
   21*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 18*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + z^6 + z^6/a^4 - 
   (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 45974] -> 
  5 - 2/a^2 - 2*a^2 + 32*z^2 - (9*z^2)/a^2 - 33*a^2*z^2 + 12*a^4*z^2 + 
   57*z^4 - (12*z^4)/a^2 - 72*a^2*z^4 + 24*a^4*z^4 + 43*z^6 - (6*z^6)/a^2 - 
   68*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 45975] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 19*a^2*z^2 + 
   8*a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 45976] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 17*z^2 - 
   (9*z^2)/a^6 + (37*z^2)/a^4 - (45*z^2)/a^2 + 28*z^4 - (12*z^4)/a^6 + 
   (61*z^4)/a^4 - (85*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 45977] -> 
  -2/a^10 + 7/a^8 - 10/a^6 + 6/a^4 - (13*z^2)/a^10 + (47*z^2)/a^8 - 
   (55*z^2)/a^6 + (23*z^2)/a^4 - (16*z^4)/a^10 + (78*z^4)/a^8 - 
   (101*z^4)/a^6 + (34*z^4)/a^4 - (7*z^6)/a^10 + (54*z^6)/a^8 - 
   (88*z^6)/a^6 + (24*z^6)/a^4 - z^8/a^10 + (17*z^8)/a^8 - (41*z^8)/a^6 + 
   (8*z^8)/a^4 + (2*z^10)/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 45978] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (7*z^2)/a^10 + (23*z^2)/a^8 - (17*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (26*z^4)/a^8 - (21*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (15*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45979] -> -2/a^10 + 5/a^8 - 3/a^6 - 2/a^4 + 3/a^2 - 
   (7*z^2)/a^10 + (21*z^2)/a^8 - (9*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - 
   (5*z^4)/a^10 + (25*z^4)/a^8 - (14*z^4)/a^6 - (25*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (13*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 45980] -> 1 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^4 + 3*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 45981] -> -a^(-4) + 2/a^2 + 4*z^2 - (4*z^2)/a^6 + 
   (12*z^2)/a^4 - (11*z^2)/a^2 + 12*z^4 - (8*z^4)/a^6 + (32*z^4)/a^4 - 
   (36*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - (43*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 45982] -> 
  -2/a^6 + 3/a^4 - (3*z^2)/a^10 + (11*z^2)/a^8 - (14*z^2)/a^6 + (9*z^2)/a^4 - 
   (7*z^4)/a^10 + (30*z^4)/a^8 - (38*z^4)/a^6 + (14*z^4)/a^4 - (5*z^6)/a^10 + 
   (30*z^6)/a^8 - (44*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - 
   (26*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 45983] -> -a^(-4) + 2/a^2 - 8*z^2 - 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 16*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 12*a^2*z^4 + 8*a^4*z^4 - 14*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 45984] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 4*z^2 - z^2/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 9*z^4 - z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 45985] -> 3 - a^(-8) + 2/a^6 + a^(-4) - 4/a^2 + 
   8*z^2 - (4*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 - (13*z^2)/a^2 + 9*z^4 - 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (16*z^4)/a^4 - (18*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 45986] -> -a^(-12) + 2/a^10 + 2/a^8 - 8/a^6 + 6/a^4 - 
   (6*z^2)/a^12 + (17*z^2)/a^10 - z^2/a^8 - (26*z^2)/a^6 + (17*z^2)/a^4 - 
   (5*z^4)/a^12 + (26*z^4)/a^10 - (13*z^4)/a^8 - (35*z^4)/a^6 + 
   (17*z^4)/a^4 - z^6/a^12 + (13*z^6)/a^10 - (16*z^6)/a^8 - (24*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^8)/a^10 - (7*z^8)/a^8 - (8*z^8)/a^6 + z^8/a^4 - 
   z^10/a^8 - z^10/a^6, Knot[15, Alternating, 45987] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + a^(-4) + 2/a^2 - (3*z^2)/a^12 + 
   (8*z^2)/a^10 + (3*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^2 - z^4/a^12 + 
   (8*z^4)/a^10 - (17*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 45988] -> 
  -a^(-12) + 2/a^10 - a^(-6) - 2/a^4 + 3/a^2 - (3*z^2)/a^12 + (8*z^2)/a^10 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - z^4/a^12 + 
   (8*z^4)/a^10 - (15*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 45989] -> 
  1 - a^(-12) + 2/a^10 - a^(-6) - a^(-4) + a^(-2) + 2*z^2 - z^2/a^12 + 
   (3*z^2)/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 + z^4 + 
   (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 45990] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 11*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45991] -> -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 
   21*z^2 - z^2/a^6 - (4*z^2)/a^4 + (15*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 45992] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   2*z^2 - (2*z^2)/a^2 + 15*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - 
   (5*z^4)/a^2 + 16*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 45993] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 3*z^2 - 2*a^2*z^2 - 9*a^4*z^2 + 20*a^6*z^2 - 
   7*a^8*z^2 + 7*z^4 - 10*a^2*z^4 - 15*a^4*z^4 + 24*a^6*z^4 - 5*a^8*z^4 + 
   5*z^6 - 12*a^2*z^6 - 13*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 45994] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 9*a^2*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 45995] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 16*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   21*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 23*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 45996] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + 
   a^8 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - 
   5*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (5*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 45997] -> a^2 - a^4 + a^6 - a^8 + 4*a^10 - 
   3*a^12 + 6*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 16*a^10*z^2 - 
   4*a^12*z^2 + 5*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 - 24*a^8*z^4 + 
   14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 16*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 45998] -> a^2 - a^4 + a^6 + 2*a^10 - 2*a^12 + 2*z^2 + 
   a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   z^4 - 4*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 3*a^10*z^4 - 
   2*a^2*z^6 + a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 45999] -> a^2 - a^4 + a^6 + a^8 - a^12 + 2*z^2 + 
   2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 - 
   3*a^6*z^4 - 4*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 46000] -> 
  4*a^6 - 3*a^8 + 3*z^2 - 6*a^2*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + 7*z^4 - 
   14*a^2*z^4 - 3*a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 
   7*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 46001] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 + 6*a^6*z^2 - 
   3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46002] -> 
  3*a^6 - a^8 - a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 + 3*a^8*z^2 - 
   4*a^10*z^2 + 7*a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 + 11*a^8*z^4 - 
   4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46003] -> a^4 + a^6 - a^10 + z^2 - a^2*z^2 + 
   6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 
   5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46004] -> 
  -a^(-8) - 3/a^6 + 8/a^4 - 3/a^2 - z^2/a^8 - (14*z^2)/a^6 + (38*z^2)/a^4 - 
   (16*z^2)/a^2 + (3*z^4)/a^8 - (31*z^4)/a^6 + (72*z^4)/a^4 - (26*z^4)/a^2 + 
   (4*z^6)/a^8 - (30*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 46005] -> 
  -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 5*z^2 - (8*z^2)/a^6 + 
   (16*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (22*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (14*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46006] -> 
  4 - a^(-4) - 2*a^2 + 32*z^2 - (14*z^2)/a^2 - 15*a^2*z^2 + 69*z^4 + 
   (4*z^4)/a^4 - (33*z^4)/a^2 - 25*a^2*z^4 + 67*z^6 + (4*z^6)/a^4 - 
   (31*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 46007] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46008] -> -1 + 3*a^2 - a^6 - 3*z^2 - 3*a^2*z^2 + 
   20*a^4*z^2 - 11*a^6*z^2 + 2*z^4 - 23*a^2*z^4 + 57*a^4*z^4 - 22*a^6*z^4 + 
   4*z^6 - 28*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 46009] -> a^2 + a^4 - a^6 - 2*z^2 - z^2/a^2 + 
   a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 5*z^4 + z^4/a^2 + 4*a^2*z^4 + 
   21*a^4*z^4 - 9*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46010] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 
   (6*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 + (4*z^4)/a^8 - (8*z^4)/a^6 - 
   z^4/a^4 + (4*z^6)/a^8 - (19*z^6)/a^6 + (18*z^6)/a^4 - (7*z^6)/a^2 + 
   z^8/a^8 - (11*z^8)/a^6 + (18*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + 
   (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 46011] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 - z^4 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + 18*z^6 + (4*z^6)/a^4 - (19*z^6)/a^2 - 
   7*a^2*z^6 + 18*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 46012] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (3*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 - z^2/a^4 - 
   (7*z^4)/a^10 + (22*z^4)/a^8 - (12*z^4)/a^6 + (6*z^4)/a^4 - (5*z^6)/a^10 + 
   (28*z^6)/a^8 - (32*z^6)/a^6 + (11*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - 
   (24*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 46013] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^4)/a^10 + (10*z^4)/a^8 - 
   (3*z^4)/a^6 - z^4/a^4 + (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46014] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (4*z^6)/a^8 - (18*z^6)/a^6 + (18*z^6)/a^4 - 
   (7*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (18*z^8)/a^4 - (5*z^8)/a^2 - 
   (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 46015] -> -2 - 3/a^4 + 6/a^2 - z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + z^2/a^2 + 8*z^4 - (8*z^4)/a^6 + (28*z^4)/a^4 - 
   (23*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + (30*z^6)/a^4 - (37*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 46016] -> 
  -2 + 6*a^2 - 3*a^4 + 2*z^2 - (3*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 22*z^4 - 
   (7*z^4)/a^2 - 13*a^2*z^4 + 5*a^4*z^4 + 28*z^6 - (5*z^6)/a^2 - 32*a^2*z^6 + 
   11*a^4*z^6 + 13*z^8 - z^8/a^2 - 24*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 
   8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 46017] -> 
  -1 + 4*a^2 - 2*a^4 + 4*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 + 
   7*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - z^6/a^4 + 
   (6*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46018] -> 
  2 - 2*a^2 + a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 4*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 46019] -> a^2 + a^6 - a^8 + 5*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 2*a^2*z^4 - a^4*z^4 - 14*a^6*z^4 + 
   7*a^8*z^4 - 6*a^2*z^6 + 15*a^4*z^6 - 23*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 
   17*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 46020] -> a^2 + a^4 - a^6 + 2*z^2 - 
   a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + z^4 - 3*a^2*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + a^2*z^6 + 2*a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   3*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46021] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + (2*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 + 8*z^4 - z^4/a^2 - 22*a^2*z^4 + 8*a^4*z^4 + 
   20*z^6 - (7*z^6)/a^2 - 25*a^2*z^6 + 5*a^4*z^6 + 18*z^8 - (5*z^8)/a^2 - 
   12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 46022] -> 5 + a^(-6) + 2/a^4 - 7/a^2 + 11*z^2 + 
   z^2/a^6 + (8*z^2)/a^4 - (25*z^2)/a^2 + 12*z^4 - (6*z^4)/a^6 + 
   (23*z^4)/a^4 - (41*z^4)/a^2 + 6*z^6 - (11*z^6)/a^6 + (34*z^6)/a^4 - 
   (35*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (24*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 46023] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 3*z^2 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46024] -> 
  3*a^6 - a^8 - a^10 - 2*a^4*z^2 + 7*a^6*z^2 + 9*a^8*z^2 - 7*a^10*z^2 + 
   3*a^4*z^4 - 9*a^6*z^4 + 31*a^8*z^4 - 11*a^10*z^4 + 10*a^4*z^6 - 
   28*a^6*z^6 + 33*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 23*a^6*z^8 + 
   14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 46025] -> a^4 + a^6 - a^10 - a^2*z^2 + 2*a^4*z^2 + 
   4*a^6*z^2 + 5*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 + a^6*z^4 + 12*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 4*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46026] -> 2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 
   5*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 + 3*a^6*z^4 + 
   8*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 46027] -> a^2 + a^6 - a^8 + 3*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - a^2*z^4 + 7*a^4*z^4 - 17*a^6*z^4 + 
   7*a^8*z^4 - 7*a^2*z^6 + 20*a^4*z^6 - 24*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 
   18*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 46028] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 
   12*z^2 - (2*z^2)/a^2 - 22*a^2*z^2 + 9*a^4*z^2 + 32*z^4 - (9*z^4)/a^2 - 
   42*a^2*z^4 + 12*a^4*z^4 + 39*z^6 - (12*z^6)/a^2 - 36*a^2*z^6 + 6*a^4*z^6 + 
   25*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 46029] -> 
  3*a^4 - 2*a^6 - 2*z^2 - 4*a^2*z^2 + 18*a^4*z^2 - 9*a^6*z^2 + 5*z^4 - 
   20*a^2*z^4 + 38*a^4*z^4 - 12*a^6*z^4 + 11*z^6 - 33*a^2*z^6 + 35*a^4*z^6 - 
   6*a^6*z^6 + 6*z^8 - 24*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 
   8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 46030] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 10*a^4*z^2 - 
   5*a^6*z^2 + z^4 + z^4/a^2 - 3*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + 
   (3*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46031] -> 
  a^2 + a^6 - a^8 + a^2*z^2 + 7*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 - 
   6*a^2*z^4 + 23*a^4*z^4 - 34*a^6*z^4 + 11*a^8*z^4 - 11*a^2*z^6 + 
   34*a^4*z^6 - 34*a^6*z^6 + 6*a^8*z^6 - 6*a^2*z^8 + 24*a^4*z^8 - 
   14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 46032] -> a^2 + a^4 - a^6 + 3*a^2*z^2 + a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 2*a^4*z^4 - 13*a^6*z^4 + 
   4*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46033] -> 7 - 3/a^2 - 3*a^2 + 23*z^2 - (10*z^2)/a^2 - 
   10*a^2*z^2 + 40*z^4 + (6*z^4)/a^4 - (24*z^4)/a^2 - 12*a^2*z^4 + 35*z^6 + 
   (11*z^6)/a^4 - (34*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (24*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 46034] -> 2 - a^(-2) + a^2 - a^4 + 8*z^2 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 10*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 46035] -> -6/a^6 + 11/a^4 - 4/a^2 + 
   (4*z^2)/a^8 - (23*z^2)/a^6 + (40*z^2)/a^4 - (14*z^2)/a^2 + (14*z^4)/a^8 - 
   (48*z^4)/a^6 + (61*z^4)/a^4 - (16*z^4)/a^2 + (16*z^6)/a^8 - (53*z^6)/a^6 + 
   (46*z^6)/a^4 - (7*z^6)/a^2 + (7*z^8)/a^8 - (31*z^8)/a^6 + (16*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 46036] -> -1 - 4/a^6 + 6/a^4 - 4*z^2 + (3*z^2)/a^8 - 
   (12*z^2)/a^6 + (15*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + (7*z^4)/a^8 - 
   (18*z^4)/a^6 + (11*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (14*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46037] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (11*z^4)/a^6 + (2*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46038] -> 3 - a^(-2) - 2*a^4 + a^6 + 15*z^2 - 
   (6*z^2)/a^2 - 6*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 22*z^4 - (8*z^4)/a^2 - 
   6*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46039] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 
   7*z^2 - (2*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   7*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46040] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 48*z^2 + 
   (9*z^2)/a^4 - (37*z^2)/a^2 - 17*a^2*z^2 + 69*z^4 + (18*z^4)/a^4 - 
   (62*z^4)/a^2 - 17*a^2*z^4 + 48*z^6 + (17*z^6)/a^4 - (59*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 46041] -> 
  8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 15*z^2 + (5*z^2)/a^4 - (18*z^2)/a^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 10*z^4 + (8*z^4)/a^4 - (21*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46042] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 7*z^2 + 
   (5*z^2)/a^4 - (15*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46043] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   11*z^4 - (5*z^4)/a^6 + (23*z^4)/a^4 - (28*z^4)/a^2 + 13*z^6 - 
   (4*z^6)/a^6 + (26*z^6)/a^4 - (41*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 46044] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   8*z^2 - z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46045] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (3*z^2)/a^10 + (16*z^2)/a^8 - 
   (20*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (25*z^4)/a^8 - 
   (38*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (31*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46046] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (20*z^4)/a^4 + (11*z^4)/a^2 + 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 46047] -> 2 - a^(-4) + a^(-2) - a^2 + 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 46048] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 6*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 46049] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (13*z^2)/a^8 - (11*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + 
   (18*z^4)/a^8 - (6*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46050] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46051] -> -3 + a^(-8) - a^(-6) - a^(-4) + 3/a^2 + 
   2*a^2 - 9*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (2*z^4)/a^8 - (5*z^4)/a^6 + (11*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + z^6/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46052] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 46053] -> 8*a^8 - 10*a^10 + 3*a^12 - 3*a^6*z^2 + 
   33*a^8*z^2 - 30*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 - 3*a^6*z^4 + 
   47*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 
   34*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 46054] -> 
  a^4 - a^6 + 6*a^8 - 7*a^10 + 2*a^12 + 2*a^4*z^2 - a^6*z^2 + 16*a^8*z^2 - 
   14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 15*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 46055] -> -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (13*z^2)/a^12 - (11*z^2)/a^10 - (12*z^2)/a^8 + 
   (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (17*z^4)/a^10 - 
   (17*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 46056] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + z^2/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - 
   (5*z^4)/a^10 + (7*z^4)/a^8 + (13*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46057] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 - 
   z^2/a^6 - (4*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + 
   (21*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46058] -> 
  5*a^8 - 4*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 
   5*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 
   9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46059] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 2*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - 
   2*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46060] -> 
  a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 2*z^2 + 5*a^2*z^2 + 9*a^4*z^2 - 23*a^6*z^2 + 
   10*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46061] -> 6 - 2/a^2 - 4*a^2 + a^4 + 8*z^2 - z^2/a^4 - 
   9*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 10*a^2*z^4 + 
   4*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46062] -> -a^(-14) + 3/a^12 - 2/a^10 - a^(-8) - 
   a^(-6) + 3/a^4 - z^2/a^14 + (8*z^2)/a^12 - (5*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + (4*z^4)/a^12 - (7*z^4)/a^10 - 
   (9*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 46063] -> 
  2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (9*z^2)/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 46064] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 6*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46065] -> 2*a^4 - 3*a^6 + 3*a^8 + a^10 - 2*a^12 + 
   2*a^2*z^2 + 5*a^4*z^2 - 10*a^6*z^2 + 9*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 + 
   3*a^2*z^4 - 14*a^6*z^4 + 4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   3*a^4*z^6 - 9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - 
   a^8*z^8, Knot[15, Alternating, 46066] -> 3*a^8 - 2*a^12 + 4*a^6*z^2 + 
   7*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 4*a^6*z^4 + 
   3*a^8*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 46067] -> -a^4 + 6*a^6 - 4*a^8 + 2*a^2*z^2 - 
   6*a^4*z^2 + 15*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 
   12*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46068] -> 
  -5*a^2 + 13*a^4 - 7*a^6 + 6*z^2 - 30*a^2*z^2 + 51*a^4*z^2 - 19*a^6*z^2 + 
   19*z^4 - 62*a^2*z^4 + 74*a^4*z^4 - 18*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 
   50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 46069] -> 
  -2 + 2*a^2 + 5*a^4 - 4*a^6 - 7*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 17*a^4*z^2 - 
   8*a^6*z^2 - 13*z^4 + (7*z^4)/a^2 - a^2*z^4 + 21*a^4*z^4 - 5*a^6*z^4 - 
   13*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46070] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   9*z^2 - (7*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 - 
   z^4/a^4 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 46071] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   11*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (12*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 7*z^6 + 
   z^6/a^6 - z^6/a^4 - (11*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 46072] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 3*z^2 - 11*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 
   4*z^4 + z^4/a^2 - 9*a^2*z^4 - 10*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   9*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 46073] -> 4 - a^(-2) - 3*a^2 + a^4 + 13*z^2 - 
   z^2/a^4 - z^2/a^2 - 18*a^2*z^2 + 7*a^4*z^2 + 13*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 25*a^2*z^4 + 8*a^4*z^4 + 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 4*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 46074] -> 
  -1 - 2/a^4 + 4/a^2 + 2*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 
   11*z^4 - (8*z^4)/a^6 + (30*z^4)/a^4 - (32*z^4)/a^2 + 13*z^6 - 
   (5*z^6)/a^6 + (31*z^6)/a^4 - (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 46075] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   3*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - (12*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 46076] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   (3*z^2)/a^14 + (6*z^2)/a^12 - (9*z^2)/a^10 + (9*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^14 + (14*z^4)/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - 
   z^6/a^14 + (10*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^8)/a^12 - (5*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 46077] -> -a^(-10) - a^(-8) + 3/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 - z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + z^4/a^10 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (5*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 46078] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 11*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46079] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + 16*z^2 - 
   (9*z^2)/a^6 + (36*z^2)/a^4 - (44*z^2)/a^2 + 25*z^4 - (12*z^4)/a^6 + 
   (58*z^4)/a^4 - (78*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - 
   (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 46080] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 8*z^2 - (4*z^2)/a^8 + (13*z^2)/a^6 - 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - 
   (9*z^4)/a^4 - (21*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 46081] -> 
  -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - (10*z^2)/a^10 + (36*z^2)/a^8 - 
   (41*z^2)/a^6 + (18*z^2)/a^4 - (12*z^4)/a^10 + (59*z^4)/a^8 - 
   (76*z^4)/a^6 + (26*z^4)/a^4 - (6*z^6)/a^10 + (43*z^6)/a^8 - (69*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 46082] -> -2/a^10 + 4/a^8 - a^(-6) - 3/a^4 + 3/a^2 - 
   (5*z^2)/a^10 + (15*z^2)/a^8 - (3*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (9*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46083] -> a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 4*z^2 - 
   3*a^2*z^2 - 11*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 8*z^4 - 12*a^2*z^4 - 
   17*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 46084] -> 
  a^4 + 2*a^6 - 2*a^8 + (2*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46085] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (7*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (13*z^4)/a^10 - (22*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 46086] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - (5*z^2)/a^10 + (10*z^2)/a^8 + 
   (5*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - (8*z^4)/a^10 + (17*z^4)/a^8 + 
   (6*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46087] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46088] -> 
  2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 2/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46089] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46090] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 + 4*z^2 - 
   10*a^2*z^2 + 6*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 17*a^2*z^4 + 
   20*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 46091] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46092] -> 2*a^6 + a^8 - 2*a^10 + 3*a^2*z^2 - 
   5*a^4*z^2 + 6*a^6*z^2 + 9*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46093] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 - z^2/a^4 - (2*z^2)/a^2 + 
   10*a^2*z^2 - 7*a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + 10*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46094] -> -2 + 6*a^2 - 3*a^4 - 7*z^2 + 13*a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 + 11*a^4*z^4 - 
   6*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46095] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46096] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 + z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 3*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 46097] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 - (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46098] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 2*z^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 16*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 15*a^4*z^4 + 22*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 46099] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   5*a^4*z^2 + 13*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 + 
   a^2*z^4 - 8*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 46100] -> a^2 + a^8 - a^10 - z^2 + a^2*z^2 + 
   3*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + z^4 - a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46101] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 + z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - 
   (4*z^4)/a^2 - 14*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46102] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   7*a^2*z^2 - 11*a^4*z^2 + 6*a^6*z^2 + a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 
   13*a^4*z^4 - 4*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 - 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 46103] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 
   2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 46104] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 8*z^2 - (6*z^2)/a^6 + (17*z^2)/a^4 - 
   (11*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (9*z^4)/a^6 + (23*z^4)/a^4 - 
   (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46105] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 9*z^2 - (4*z^2)/a^2 + a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 + 14*z^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46106] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 53*z^2 + 
   (9*z^2)/a^4 - (39*z^2)/a^2 - 19*a^2*z^2 + 75*z^4 + (20*z^4)/a^4 - 
   (67*z^4)/a^2 - 18*a^2*z^4 + 50*z^6 + (18*z^6)/a^4 - (63*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 46107] -> 
  10 + 2/a^4 - 8/a^2 - 2*a^2 - a^4 + 21*z^2 + (6*z^2)/a^4 - (22*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 13*z^4 + (9*z^4)/a^4 - (24*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46108] -> -a^(-8) + 2/a^4 - (3*z^2)/a^10 + 
   (8*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - (7*z^4)/a^10 + (27*z^4)/a^8 - 
   (29*z^4)/a^6 + (11*z^4)/a^4 - (5*z^6)/a^10 + (29*z^6)/a^8 - (39*z^6)/a^6 + 
   (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 46109] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (7*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (7*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46110] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2/a^10 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46111] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46112] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   8*a^2*z^4 - 8*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 46113] -> 
  1 + a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46114] -> 
  a^(-10) - 2/a^8 + a^(-6) - a^(-4) + 2/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46115] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + 
   z^2/a^16 - (16*z^2)/a^14 + (12*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 - 
   (2*z^4)/a^16 - (11*z^4)/a^14 + (25*z^4)/a^12 + (21*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (18*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46116] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) - (7*z^2)/a^14 + (13*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (8*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 46117] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) + z^2/a^16 - (14*z^2)/a^14 + (9*z^2)/a^12 + (13*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^4)/a^16 - (11*z^4)/a^14 + (24*z^4)/a^12 + 
   (21*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (18*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46118] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (7*z^2)/a^14 + (2*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 46119] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 8*z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 - (5*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46120] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + z^2/a^6 - z^2/a^4 + a^2*z^2 + 
   a^4*z^2 - 5*z^4 - z^4/a^6 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46121] -> 3/a^16 - 10/a^14 + 6/a^12 + 2/a^10 + 
   (5*z^2)/a^16 - (37*z^2)/a^14 + (37*z^2)/a^12 + (11*z^2)/a^10 - 
   (2*z^4)/a^16 - (36*z^4)/a^14 + (71*z^4)/a^12 + (21*z^4)/a^10 - 
   (4*z^6)/a^16 - (8*z^6)/a^14 + (59*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 46122] -> 2/a^16 - 6/a^14 + a^(-12) + 
   4/a^10 + z^2/a^16 - (15*z^2)/a^14 + (7*z^2)/a^12 + (20*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (10*z^4)/a^14 + (19*z^4)/a^12 + 
   (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46123] -> 2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + 
   a^(-8) - (14*z^2)/a^14 + (12*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^4)/a^16 - (6*z^4)/a^14 + (20*z^4)/a^12 + (23*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46124] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - z^2/a^16 - (5*z^2)/a^14 + z^2/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + (7*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 46125] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (2*z^2)/a^8 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (12*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46126] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   15*z^2 - (2*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (9*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46127] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46128] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + z^2 - (4*z^2)/a^4 + (3*z^2)/a^2 + 
   10*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 6*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + 
   21*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 46129] -> 4*a^2 - 4*a^4 + a^8 - 2*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - z^4/a^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 46130] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 9*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - 11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   8*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 46131] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (6*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46132] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46133] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 2*z^2 + 
   6*a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 16*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 46134] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 46135] -> -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 10*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46136] -> 2 - 5*a^2 + 7*a^4 - 3*a^6 + 4*z^2 - 
   z^2/a^2 - 11*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 + z^4 + z^4/a^2 - 
   9*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + (3*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 46137] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 
   z^2 - 4*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46138] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 13*z^2 + 
   (5*z^2)/a^4 - (18*z^2)/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 5*z^4 + 
   (8*z^4)/a^4 - (19*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 6*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46139] -> 
  2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 + (3*z^2)/a^4 - (9*z^2)/a^2 + 
   12*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 46140] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^14 + (7*z^4)/a^12 - (3*z^4)/a^10 - 
   (8*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 + (4*z^6)/a^12 - (6*z^6)/a^10 - 
   (10*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 46141] -> 2 - a^(-10) + 4/a^6 - 3/a^4 - 
   a^(-2) + 5*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - 
   (12*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46142] -> -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 - (5*z^2)/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46143] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46144] -> -6 + a^(-4) + 10*a^2 - 4*a^4 - 15*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 25*a^2*z^2 - 8*a^4*z^2 - 18*z^4 + 
   (8*z^4)/a^4 - (13*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46145] -> 
  1 + 2/a^4 - 4/a^2 + 4*a^2 - 2*a^4 + z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^6 - (10*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46146] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - a^4*z^2 + 6*a^6*z^2 + 12*a^8*z^2 - 
   14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 9*a^6*z^4 + 
   16*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 46147] -> -a^(-10) + a^(-8) + 5/a^6 - 10/a^4 + 6/a^2 - 
   (5*z^2)/a^10 + (8*z^2)/a^8 + (12*z^2)/a^6 - (27*z^2)/a^4 + (11*z^2)/a^2 - 
   (8*z^4)/a^10 + (14*z^4)/a^8 + (15*z^4)/a^6 - (29*z^4)/a^4 + (6*z^4)/a^2 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (13*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46148] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   3*z^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46149] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   19*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 46150] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (10*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (12*z^4)/a^8 - (13*z^4)/a^6 - (15*z^4)/a^4 + z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 46151] -> 
  -a^(-14) + 3/a^12 - 3/a^10 - a^(-8) + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (12*z^2)/a^12 - (11*z^2)/a^10 - (2*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (15*z^4)/a^10 - (7*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46152] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 3*a^4*z^2 + 
   9*a^6*z^2 + 13*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 
   16*a^6*z^4 + 15*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   13*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 46153] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (9*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 46154] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (17*z^2)/a^8 + z^2/a^4 + (3*z^4)/a^12 - 
   (14*z^4)/a^10 + (17*z^4)/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (9*z^6)/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46155] -> -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - 
   (6*z^2)/a^10 - (2*z^2)/a^8 + (17*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (4*z^4)/a^8 + (19*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46156] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 4*a^2*z^2 - 
   3*a^4*z^2 - 3*a^6*z^2 + 17*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 
   5*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46157] -> 
  a^2 - 3*a^4 + 5*a^6 - 2*a^10 + 2*z^2 + 2*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 5*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46158] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 3*z^2 - z^2/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + 
   z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 46159] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (4*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46160] -> 
  a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^4*z^2 + 9*a^8*z^2 - 4*a^10*z^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   7*a^4*z^6 - 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46161] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (11*z^4)/a^6 - (8*z^4)/a^4 + z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46162] -> -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 + 
   (3*z^2)/a^12 - z^2/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - (12*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46163] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (2*z^2)/a^16 - (15*z^2)/a^14 + (5*z^2)/a^12 + (18*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (8*z^4)/a^14 + (14*z^4)/a^12 + (23*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (8*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 46164] -> 
  13 - 6/a^2 - 6*a^2 + 52*z^2 + (4*z^2)/a^4 - (29*z^2)/a^2 - 21*a^2*z^2 + 
   85*z^4 + (6*z^4)/a^4 - (45*z^4)/a^2 - 29*a^2*z^4 + 73*z^6 + (4*z^6)/a^4 - 
   (34*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 46165] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (11*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 46166] -> 
  a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - (6*z^2)/a^12 + (10*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - z^4/a^14 + (12*z^4)/a^10 - (9*z^4)/a^8 + 
   (8*z^4)/a^6 + z^4/a^4 + (2*z^6)/a^12 + (3*z^6)/a^10 - (8*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46167] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^12 + (7*z^2)/a^10 - (13*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 + 
   z^4/a^12 + (2*z^4)/a^10 - (13*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46168] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + z^4 + 
   (4*z^4)/a^6 - (9*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46169] -> -a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 2/a^2 + 
   a^2 - z^2 - z^2/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 46170] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - z^4/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 46171] -> -2*a^2 + 5*a^4 + a^6 - 4*a^8 + a^10 - 
   2*z^2 - 2*a^2*z^2 + 12*a^4*z^2 + 4*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   2*z^4 - z^4/a^2 + 3*a^2*z^4 + 12*a^4*z^4 + 4*a^6*z^4 - 4*a^8*z^4 + z^6 + 
   4*a^2*z^6 + 6*a^4*z^6 + 3*a^6*z^6, Knot[15, Alternating, 46172] -> 
  -2 + a^(-8) - 2/a^6 + 2/a^4 + 2*a^2 - 7*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (2*z^4)/a^8 - z^4/a^6 + (8*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46173] -> 2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 + 
   3*a^4*z^2 - a^6*z^2 + 8*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 + 3*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 46174] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 46175] -> a^2 + 5*a^4 - 9*a^6 + 4*a^8 - 
   2*z^2 + 6*a^2*z^2 + 8*a^4*z^2 - 25*a^6*z^2 + 11*a^8*z^2 - 3*z^4 + 
   10*a^2*z^4 + 2*a^4*z^4 - 29*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46176] -> 
  -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - (4*z^2)/a^10 + (18*z^2)/a^8 - 
   (15*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (36*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (32*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46177] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (9*z^4)/a^6 - 
   (13*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46178] -> -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - 
   (6*z^2)/a^14 + (24*z^2)/a^12 - (31*z^2)/a^10 + (8*z^2)/a^8 + 
   (10*z^2)/a^6 - (5*z^4)/a^14 + (34*z^4)/a^12 - (46*z^4)/a^10 + 
   (5*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (36*z^6)/a^10 - 
   (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 46179] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (11*z^2)/a^12 - (9*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46180] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 46181] -> 
  -a^(-8) + 2/a^4 + (3*z^2)/a^8 - (10*z^2)/a^6 + (15*z^2)/a^4 - (4*z^2)/a^2 + 
   (8*z^4)/a^8 - (31*z^4)/a^6 + (37*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - 
   (31*z^6)/a^6 + (43*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 46182] -> -a^(-8) + a^(-6) + a^(-2) - 
   2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46183] -> 1 - 4*z^2 + (2*z^2)/a^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 10*a^4*z^4 - 5*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 46184] -> 
  4 - a^(-10) + 3/a^8 - 3/a^6 + 4/a^4 - 6/a^2 + 4*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - (13*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 - (9*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 46185] -> 
  a^(-2) - a^2 + a^4 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*a^4*z^2 + z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46186] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 + (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 
   2*a^6*z^2 - 3*z^4 + z^4/a^2 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 46187] -> 
  a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46188] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^6 - 
   (8*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 + z^4/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 46189] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 
   z^2 + (2*z^2)/a^2 - 5*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^4 + (2*z^4)/a^2 - 10*a^2*z^4 - 3*a^4*z^4 + 4*a^6*z^4 - 4*z^6 - 
   z^6/a^2 - 6*a^2*z^6 - 3*a^4*z^6, Knot[15, Alternating, 46190] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46191] -> 
  1 + 3*a^4 - 6*a^6 + 3*a^8 + 3*z^2 - z^2/a^2 - 10*a^6*z^2 + 5*a^8*z^2 + 
   3*z^4 - z^4/a^2 + a^2*z^4 - 6*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46192] -> -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (8*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (8*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46193] -> 3 - 5*a^2 + 4*a^4 - a^6 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 46194] -> 2*a^4 - a^6 - 2*a^8 + 5*a^10 - 3*a^12 + 
   4*a^2*z^2 + 2*a^6*z^2 - 11*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 
   4*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - 22*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 46195] -> 
  3*a^4 - 4*a^6 + 2*a^8 + 2*a^10 - 2*a^12 + 2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 
   a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 - 6*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 46196] -> a^2 - a^4 + 2*a^6 - 2*a^8 + 
   3*a^10 - 2*a^12 + 2*z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 46197] -> a^2 - a^6 + 2*a^8 - a^12 + z^2 + z^2/a^2 + 
   a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   3*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 46198] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + 
   a^8 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 46199] -> 2*a^8 + 2*a^10 - 3*a^12 + a^4*z^2 + 
   5*a^6*z^2 + 12*a^10*z^2 - 3*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 
   6*a^6*z^4 - 7*a^8*z^4 + 13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 46200] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 46201] -> 
  5*a^6 - 6*a^8 + 3*a^10 - a^12 + z^2 + a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 
   12*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 
   10*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 46202] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 - a^4*z^2 + 6*a^6*z^2 + 4*a^8*z^2 - 
   3*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 
   3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46203] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 10*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 46204] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 6*z^2 - (2*z^2)/a^4 + 2*a^2*z^2 - 
   3*a^4*z^2 + 9*z^4 + z^4/a^6 - (2*z^4)/a^4 + 4*a^2*z^4 - 2*a^4*z^4 + 
   5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46205] -> -3 - 4/a^4 + 8/a^2 - 5*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (4*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 46206] -> -2/a^10 + 4/a^8 - 4/a^6 + 
   3/a^4 - (3*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^10 + (9*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (4*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46207] -> 1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^2 - a^2*z^2 + z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46208] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 + 2*z^2 - (6*z^2)/a^6 + (16*z^2)/a^4 - 
   (8*z^2)/a^2 + 11*z^4 - (9*z^4)/a^6 + (35*z^4)/a^4 - (33*z^4)/a^2 + 
   13*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 46209] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - 
   a^2 + 2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 - 6*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46210] -> 
  3*a^8 + a^10 - 4*a^12 + a^14 + 5*a^6*z^2 + 3*a^8*z^2 + 10*a^10*z^2 - 
   6*a^12*z^2 - a^14*z^2 + a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 13*a^10*z^4 + 
   a^12*z^4 - a^14*z^4 + a^4*z^6 + a^6*z^6 - 7*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 46211] -> 7 - 4/a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^4 - 
   (11*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 7*z^4 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46212] -> 
  -a^4 + 4*a^6 - 2*a^10 + a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 + 6*a^8*z^2 - 
   4*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 
   3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46213] -> -5*a^2 + 13*a^4 - 7*a^6 + 2*z^2 - 
   18*a^2*z^2 + 39*a^4*z^2 - 15*a^6*z^2 + 11*z^4 - 38*a^2*z^4 + 54*a^4*z^4 - 
   14*a^6*z^4 + 13*z^6 - 43*a^2*z^6 + 39*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 46214] -> -2 + 2*a^2 + 5*a^4 - 4*a^6 - 
   3*z^2 + 3*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + (4*z^4)/a^2 + 
   a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 46215] -> 3 - a^(-2) + a^2 - 4*a^4 + 
   2*a^6 + 7*z^2 - z^2/a^4 - 4*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 - 8*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 
   6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46216] -> 2 - a^(-10) + 2/a^8 - a^(-6) + a^(-4) - 
   2/a^2 + 4*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46217] -> -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - 
   (3*z^2)/a^14 + (10*z^2)/a^12 - (5*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - (7*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (7*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46218] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-6) + 
   a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 46219] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 
   6*z^2 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46220] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 2*z^2 - 
   z^2/a^2 + a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 
   3*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46221] -> 
  -3/a^8 + 12/a^6 - 16/a^4 + 8/a^2 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (28*z^2)/a^6 - (36*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (3*z^4)/a^8 + 
   (27*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (16*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46222] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 9*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 46223] -> 
  -a^(-14) + 3/a^12 - 3/a^10 + a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (3*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 46224] -> -2 - a^(-10) + 3/a^8 - 2/a^6 + a^(-2) + 
   2*a^2 - 5*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + z^4/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[15, Alternating, 46225] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (4*z^2)/a^2 + 
   a^2*z^2 + a^6*z^2 - 4*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46226] -> 
  -2 + a^(-6) + a^2 + a^4 - 5*z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 46227] -> 
  -5 + a^(-4) + a^(-2) + 5*a^2 - a^4 - 8*z^2 + z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46228] -> -2/a^10 + 6/a^8 - 7/a^6 + 3/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (16*z^2)/a^8 - (12*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (14*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46229] -> -a^(-12) + 2/a^10 + a^(-8) - 5/a^6 + 3/a^4 + 
   a^(-2) - (2*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 - (14*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (6*z^4)/a^10 + (2*z^4)/a^8 - 
   (16*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - 
   (9*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 46230] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46231] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46232] -> 2*a^8 + a^10 - a^12 - a^14 + 2*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 + 12*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 
   4*a^6*z^4 - 10*a^8*z^4 + 13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   a^6*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 46233] -> a^2 - a^4 + 3*a^6 - 4*a^8 + 
   4*a^10 - 2*a^12 + 2*z^2 + a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 46234] -> a^2 + a^10 - a^12 + z^2 + 
   z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - 2*z^4 - 
   4*a^2*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 3*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 46235] -> a^(-2) - a^6 + a^8 + 2*z^2 - z^2/a^6 + 
   z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 
   4*a^2*z^6 + z^8, Knot[15, Alternating, 46236] -> 
  a^6 - a^8 + 5*a^10 - 4*a^12 + a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 
   12*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - 
   5*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 46237] -> -2/a^10 + 3/a^8 - 2/a^4 + 
   2/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (5*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46238] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46239] -> -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (7*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (5*z^4)/a^10 - 
   (13*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 46240] -> 
  2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (9*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46241] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46242] -> 
  5*a^8 - 4*a^10 + 4*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 14*a^8*z^2 - 
   6*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46243] -> -a^4 + 4*a^6 - 2*a^10 + 2*z^2 - a^2*z^2 - 
   2*a^4*z^2 + 8*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46244] -> -1 + 4*a^2 - 2*a^4 - z^2 + (4*z^2)/a^4 - 
   (8*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46245] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46246] -> 
  -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 12*z^2 - z^2/a^6 + (9*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^6 - (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - 
   z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 46247] -> 
  2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 4*z^2 - 4*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6, Knot[15, Alternating, 46248] -> 
  a^(-8) - a^(-6) + a^2 - 3*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 + (5*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + z^6/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 46249] -> 
  a^(-8) - a^(-6) + a^2 - 5*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46250] -> 
  4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 - z^2/a^4 + 4*a^2*z^2 - 9*a^4*z^2 + 
   3*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46251] -> 
  -a^2 + 4*a^4 - 5*a^6 + 7*a^8 - 4*a^10 + 2*z^2 - 4*a^2*z^2 + 9*a^4*z^2 - 
   8*a^6*z^2 + 14*a^8*z^2 - 4*a^10*z^2 + 3*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 
   7*a^6*z^4 + 9*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46252] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 2*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 46253] -> 2*a^6 + a^8 - 2*a^10 + z^2/a^2 + 4*a^6*z^2 + 
   4*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 46254] -> 
  -a^2 + 4*a^4 - 4*a^6 + 5*a^8 - 3*a^10 + z^2 - 2*a^2*z^2 + 7*a^4*z^2 - 
   5*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46255] -> 
  2 - 2*a^2 + 4*a^4 - 6*a^6 + 3*a^8 + 5*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - 13*a^6*z^2 + 6*a^8*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 - 
   12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46256] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46257] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 
   z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 46258] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 
   z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 - 3*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 46259] -> 2*a^4 - 2*a^6 + a^8 + 2*a^10 - 
   2*a^12 + 2*z^2 + a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + 
   z^4 - 2*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   2*a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 46260] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 4*z^2 - z^2/a^6 + z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 46261] -> a^2 - a^4 + a^6 + a^8 - a^12 + z^2 + 
   z^2/a^2 - a^4*z^2 + a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - z^4 - 3*a^2*z^4 - 
   4*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, Knot[15, Alternating, 46262] -> 
  1 + a^(-6) - 2/a^2 + a^2 - z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + a^4*z^2 - 
   z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46263] -> -4 + 2/a^4 - a^(-2) + 5*a^2 - a^4 - 6*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 46264] -> -4 + 2/a^4 - a^(-2) + 5*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46265] -> 1 + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 - (5*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - 
   (11*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 46266] -> -a^(-8) + a^(-6) + a^(-2) - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46267] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46268] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - 2*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - z^4 - 
   z^4/a^6 + (5*z^4)/a^4 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 46269] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 2*z^2 - z^2/a^6 + z^2/a^2 + 
   2*a^2*z^2 - 3*a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 46270] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 - 4*a^4*z^4 - a^6*z^4 - 
   3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[15, Alternating, 46271] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - a^2*z^4 + 5*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 46272] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46273] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 6*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46274] -> 2*a^4 - a^6 + a^8 - a^10 - 2*a^2*z^2 + 
   6*a^4*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + z^4 - a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46275] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 5*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 
   2*z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 
   4*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 46276] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46277] -> 5 + 2/a^4 - 5/a^2 - 2*a^2 + 2*a^4 - a^6 + 
   7*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 46278] -> -3 + 8*a^2 - 4*a^4 + z^2 - z^2/a^2 + 
   5*a^2*z^2 - a^4*z^2 + 16*z^4 - (2*z^4)/a^2 - 23*a^2*z^4 + 11*a^4*z^4 + 
   21*z^6 - (3*z^6)/a^2 - 40*a^2*z^6 + 13*a^4*z^6 + 11*z^8 - z^8/a^2 - 
   26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 46279] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^10 - 
   (9*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + 
   (15*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + (5*z^6)/a^8 + 
   (11*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46280] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 46281] -> -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + 
   z^2/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46282] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46283] -> 
  4 - a^(-4) - 2*a^2 + 5*z^2 - z^2/a^8 + z^2/a^6 - 2*a^2*z^2 + 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 46284] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   (5*z^2)/a^10 + (12*z^2)/a^8 - (7*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (17*z^4)/a^8 - (4*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (8*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46285] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (5*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 46286] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - (19*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46287] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^4)/a^12 - (5*z^4)/a^10 + (5*z^4)/a^6 - 
   z^4/a^4 + z^6/a^12 - (6*z^6)/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 46288] -> 
  -1 + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + a^6 + 3*z^2 + z^2/a^4 - (7*z^2)/a^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (2*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 10*z^6 - z^6/a^4 + z^6/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 46289] -> 
  a^6 + 6*a^8 - 9*a^10 + 3*a^12 - 2*a^6*z^2 + 30*a^8*z^2 - 29*a^10*z^2 + 
   7*a^12*z^2 - 3*a^4*z^4 - 4*a^6*z^4 + 45*a^8*z^4 - 33*a^10*z^4 + 
   5*a^12*z^4 - 4*a^4*z^6 + 2*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 46290] -> a^4 + 4*a^8 - 6*a^10 + 2*a^12 + 5*a^6*z^2 + 
   9*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 10*a^6*z^4 + 
   9*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 46291] -> 2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 + 
   3*a^4*z^2 - a^6*z^2 + 8*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4 + 9*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 46292] -> 
  -1 + 4*a^2 - 2*a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - a^6*z^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 46293] -> -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (13*z^2)/a^12 - (11*z^2)/a^10 - (12*z^2)/a^8 + 
   (11*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (13*z^4)/a^12 - (17*z^4)/a^10 - 
   (17*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 46294] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 
   2*a^2 - 19*z^2 - z^2/a^6 - (6*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 
   20*z^4 - (5*z^4)/a^6 + (4*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46295] -> -2*a^4 + 8*a^6 - 5*a^8 + 2*a^2*z^2 - 
   7*a^4*z^2 + 16*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 
   8*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 3*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46296] -> 
  3*a^6 - a^8 - a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46297] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 46298] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 
   2*z^2 + 7*a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 
   11*a^2*z^4 - 5*a^4*z^4 - 13*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46299] -> 
  5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 8*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (4*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46300] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 2*a^2*z^2 + 
   3*a^4*z^2 - 8*a^6*z^2 + 12*a^8*z^2 - 2*a^12*z^2 + 3*a^2*z^4 - a^4*z^4 - 
   11*a^6*z^4 + 7*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^2*z^6 - 3*a^4*z^6 - 
   8*a^6*z^6 - a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 46301] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + z^2/a^2 + 
   3*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 46302] -> -a^(-10) + a^(-8) + a^(-6) - 
   2/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46303] -> 4*a^8 - a^10 - 3*a^12 + a^14 + 3*a^6*z^2 + 
   9*a^8*z^2 + 3*a^10*z^2 - 4*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 
   5*a^8*z^4 + 7*a^10*z^4 + 2*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   3*a^8*z^6 + a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 46304] -> 9 - 5/a^2 - a^2 - 2*a^4 + 18*z^2 + 
   (2*z^2)/a^4 - (13*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 9*z^4 + (7*z^4)/a^4 - 
   (15*z^4)/a^2 + 18*a^2*z^4 - 5*a^4*z^4 - 5*z^6 + (5*z^6)/a^4 - 
   (13*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46305] -> 
  1 - 2/a^2 + 6*a^2 - 4*a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 46306] -> 
  -2*a^4 + 9*a^6 - 7*a^8 + a^10 + 2*a^2*z^2 - 9*a^4*z^2 + 24*a^6*z^2 - 
   10*a^8*z^2 + 5*a^2*z^4 - 16*a^4*z^4 + 22*a^6*z^4 - a^8*z^4 - 2*a^10*z^4 + 
   4*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 + 5*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46307] -> 4 - 2/a^4 + a^(-2) - a^2 - a^4 + 8*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 46308] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 3*z^2 - 
   z^2/a^2 + 5*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 46309] -> -6*a^2 + 15*a^4 - 8*a^6 + 4*z^2 - 
   27*a^2*z^2 + 52*a^4*z^2 - 20*a^6*z^2 + 16*z^4 - 54*a^2*z^4 + 72*a^4*z^4 - 
   18*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 46310] -> -2 + a^2 + 7*a^4 - 5*a^6 - 
   5*z^2 + z^2/a^2 + a^2*z^2 + 20*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 9*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 46311] -> -4 + 8*a^2 - a^4 - 2*a^6 - 
   12*z^2 + (2*z^2)/a^2 + 18*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 - 17*z^4 + 
   (7*z^4)/a^2 + 13*a^2*z^4 + 12*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 46312] -> 
  8 - 4/a^2 - 2*a^2 - a^4 + 16*z^2 + z^2/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 9*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   3*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46313] -> 5*a^6 - 5*a^8 + a^10 + 14*a^6*z^2 - 
   11*a^8*z^2 + 2*a^12*z^2 - 4*a^4*z^4 + 16*a^6*z^4 - 10*a^8*z^4 - 
   6*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[15, Alternating, 46314] -> -4 + 3/a^2 + 3*a^2 - 3*a^4 + 
   2*a^6 - 16*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 46315] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 + 8*a^2*z^2 - a^4*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46316] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 7*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - z^4/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 46317] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   4*a^4*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 - 9*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 5*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 46318] -> a^(-10) - 3/a^8 + a^(-6) + 
   2/a^4 + z^2/a^12 - (3*z^2)/a^10 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46319] -> -3 - a^(-8) + 2/a^6 - 5/a^4 + 8/a^2 - 
   9*z^2 - z^2/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 - 10*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (3*z^4)/a^4 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46320] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - 
   (4*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 + z^6/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46321] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 4*z^2 - 
   3*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   11*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   10*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 46322] -> a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 
   10*a^4*z^2 - 6*a^6*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 + 18*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46323] -> -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^4 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46324] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46325] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (9*z^2)/a^12 - (10*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (16*z^4)/a^12 - (10*z^4)/a^10 + (9*z^4)/a^6 - z^6/a^14 + 
   (10*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - 
   (5*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 46326] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 31*z^2 - 
   (9*z^2)/a^2 - 33*a^2*z^2 + 11*a^4*z^2 + 54*z^4 - (12*z^4)/a^2 - 
   65*a^2*z^4 + 21*a^4*z^4 + 42*z^6 - (6*z^6)/a^2 - 63*a^2*z^6 + 18*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 46327] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 12*z^2 - (2*z^2)/a^4 + z^2/a^2 - 19*a^2*z^2 + 
   7*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 + 9*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46328] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 9*z^4 - (4*z^4)/a^4 + 
   (17*z^4)/a^2 - 15*a^2*z^4 + 8*a^4*z^4 - 9*z^6 - z^6/a^4 + (10*z^6)/a^2 - 
   14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 46329] -> 
  a^(-2) - a^2 + a^4 - 4*z^2 - z^2/a^6 + (5*z^2)/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 7*z^4 - z^4/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 46330] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 + 
   10*z^2 - (6*z^2)/a^6 + (24*z^2)/a^4 - (28*z^2)/a^2 + 16*z^4 - 
   (9*z^4)/a^6 + (40*z^4)/a^4 - (51*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + 
   (33*z^6)/a^4 - (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 46331] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - 
   (9*z^2)/a^10 + (30*z^2)/a^8 - (31*z^2)/a^6 + (14*z^2)/a^4 - 
   (12*z^4)/a^10 + (54*z^4)/a^8 - (64*z^4)/a^6 + (22*z^4)/a^4 - 
   (6*z^6)/a^10 + (42*z^6)/a^8 - (63*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 46332] -> 
  -2/a^10 + 5/a^8 - 5/a^6 + 2/a^4 + a^(-2) - (5*z^2)/a^10 + (17*z^2)/a^8 - 
   (14*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (16*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46333] -> -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 - 
   (5*z^2)/a^10 + (14*z^2)/a^8 - z^2/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (18*z^4)/a^8 - (7*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46334] -> 1 - 2/a^10 + 4/a^8 - 2/a^6 + 2*z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46335] -> a^2 - 4*a^4 + 9*a^6 - 5*a^8 + 3*z^2 - 
   14*a^4*z^2 + 26*a^6*z^2 - 8*a^8*z^2 + 7*z^4 - 9*a^2*z^4 - 19*a^4*z^4 + 
   26*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 12*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 46336] -> 4*a^6 - 3*a^8 + 2*z^2 + z^2/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 10*a^2*z^4 - 
   a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46337] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46338] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - (2*z^2)/a^14 + 
   (10*z^2)/a^12 - (4*z^2)/a^10 - (17*z^2)/a^8 + (15*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (10*z^4)/a^10 - (23*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (16*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 46339] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 17*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (8*z^4)/a^6 + (14*z^4)/a^4 + 
   (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46340] -> 
  1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46341] -> 2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 - 
   z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (17*z^4)/a^4 + (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 46342] -> -1 + a^(-2) + 2*a^2 - 4*a^4 + 
   5*a^6 - 2*a^8 - 4*z^2 + z^2/a^4 + 8*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 9*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 46343] -> -2*a^2 + 4*a^4 + 2*a^6 - 3*a^8 + 3*z^2 - 
   9*a^2*z^2 + 8*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 7*z^4 - 15*a^2*z^4 + 
   2*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 6*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 46344] -> 
  -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - z^2 + z^2/a^2 - 2*a^2*z^2 + 7*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46345] -> 
  -2 + 4*a^2 - a^8 - 6*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46346] -> 
  a^6 + 3*a^8 - 3*a^10 + 3*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 11*a^8*z^2 - 
   5*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46347] -> 2*a^6 + a^8 - 2*a^10 + z^2 + a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + z^4 - a^2*z^4 - 
   5*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46348] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 9*z^2 - z^2/a^8 - (3*z^2)/a^4 + 
   (18*z^2)/a^2 - 10*z^4 + z^4/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (25*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 + (6*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 46349] -> -3 + 9*a^2 - 6*a^4 + a^6 - 
   8*z^2 + 20*a^2*z^2 - 9*a^4*z^2 - 10*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46350] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46351] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   9*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 
   13*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 46352] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 9*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   3*a^2*z^4 - 5*a^4*z^4 + 15*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 46353] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - z^6/a^2 - a^2*z^6 + 2*a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 46354] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46355] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 
   5*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 46356] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 + a^2*z^4 - 8*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 46357] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   9*z^2 - (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 
   a^6*z^2 - 9*z^4 - z^4/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 46358] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 46359] -> -5 + a^(-6) + a^(-2) + 4*a^2 - 14*z^2 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46360] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 + 10*a^2*z^2 - 20*a^4*z^2 + 14*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + 14*a^2*z^4 - 23*a^4*z^4 + 3*a^6*z^4 + 2*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 - 7*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46361] -> -a^(-10) + 5/a^8 - 6/a^6 + 3/a^2 - 
   (6*z^2)/a^10 + (20*z^2)/a^8 - (17*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   (8*z^4)/a^10 + (24*z^4)/a^8 - (14*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46362] -> 1 - a^(-10) + 4/a^8 - 3/a^6 - 2/a^4 + 
   2/a^2 + 2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + z^4 - (3*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46363] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   11*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (14*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46364] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 8*z^2 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 + 13*z^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46365] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 8*z^2 - 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46366] -> 
  17 + 2/a^4 - 11/a^2 - 7*a^2 + 58*z^2 + (11*z^2)/a^4 - (44*z^2)/a^2 - 
   20*a^2*z^2 + 77*z^4 + (21*z^4)/a^4 - (71*z^4)/a^2 - 18*a^2*z^4 + 50*z^6 + 
   (18*z^6)/a^4 - (64*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 46367] -> 9 + 2/a^4 - 8/a^2 - 2*a^4 + 16*z^2 + 
   (6*z^2)/a^4 - (20*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 9*z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46368] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + z^2/a^2 + a^2*z^2 - 10*a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46369] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 8*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 46370] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (2*z^2)/a^16 - (18*z^2)/a^14 + 
   (8*z^2)/a^12 + (21*z^2)/a^10 + z^2/a^8 - z^4/a^16 - (17*z^4)/a^14 + 
   (27*z^4)/a^12 + (32*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (23*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 46371] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (17*z^2)/a^14 + 
   (13*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (13*z^4)/a^14 + (28*z^4)/a^12 + (24*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (21*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 46372] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46373] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 5*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 46374] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^8 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 46375] -> 4 - a^(-2) - a^2 - 3*a^4 + 
   2*a^6 + 6*z^2 - (3*z^2)/a^4 + 4*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 + z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 5*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 46376] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + 2*z^2 - z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   6*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 46377] -> 
  a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - 3*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46378] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 46379] -> 
  -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (5*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46380] -> 4/a^16 - 10/a^14 + 3/a^12 + 4/a^10 + 
   (4*z^2)/a^16 - (27*z^2)/a^14 + (16*z^2)/a^12 + (20*z^2)/a^10 - z^4/a^16 - 
   (21*z^4)/a^14 + (33*z^4)/a^12 + (33*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - 
   (3*z^6)/a^14 + (25*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 46381] -> 
  2/a^16 - 4/a^14 - 2/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (12*z^2)/a^14 + 
   (3*z^2)/a^12 + (14*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + 
   (12*z^4)/a^12 + (20*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (7*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 46382] -> 3/a^16 - 6/a^14 - 2/a^12 + 6/a^10 + 
   (3*z^2)/a^16 - (20*z^2)/a^14 + (8*z^2)/a^12 + (18*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^4)/a^16 - (14*z^4)/a^14 + (25*z^4)/a^12 + 
   (24*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + (19*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46383] -> 2/a^16 - 4/a^14 - a^(-12) + 2/a^10 + 2/a^8 - 
   (8*z^2)/a^14 + z^2/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 46384] -> a^(-16) - 2/a^14 - 2/a^10 + 
   4/a^8 - (6*z^2)/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 + (9*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (8*z^4)/a^12 + (8*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 46385] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 + 
   z^4/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (5*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46386] -> 2 - a^(-10) + 4/a^6 - 3/a^4 - a^(-2) + 
   5*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - 
   (12*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46387] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (11*z^4)/a^10 - (2*z^4)/a^8 + (24*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46388] -> a^2 + a^4 - 2*a^8 + a^10 - 2*z^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 - 
   6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46389] -> 
  2*a^4 - a^8 + z^2 + a^4*z^2 + 2*a^6*z^2 + a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 - 2*z^6 + 3*a^2*z^6 - a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 
   3*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46390] -> -a^(-10) + 4/a^8 - 3/a^6 - 3/a^4 + 4/a^2 + 
   2*z^2 - z^2/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46391] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 46392] -> -1 - a^(-6) + 2/a^4 + a^2 - 5*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46393] -> 2 - 2*a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 46394] -> 3/a^16 - 7/a^14 + 5/a^10 + 
   (2*z^2)/a^16 - (21*z^2)/a^14 + (13*z^2)/a^12 + (17*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (15*z^4)/a^14 + (30*z^4)/a^12 + 
   (27*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (22*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 46395] -> 2/a^16 - 5/a^14 + a^(-12) + 
   a^(-10) + 2/a^8 - (11*z^2)/a^14 + (7*z^2)/a^12 + (9*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + (13*z^4)/a^12 + 
   (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 46396] -> 
  1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (19*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46397] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 4*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 4*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 + 
   a^8*z^4 - z^6 + 6*a^2*z^6 - 2*a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46398] -> 1 - 3*a^2 + 7*a^4 - 5*a^6 + a^8 + 2*z^2 - 
   7*a^2*z^2 + 14*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - z^4/a^2 - 
   5*a^2*z^4 + 9*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46399] -> 2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 + 10*a^8*z^2 - 5*a^10*z^2 + 3*a^2*z^4 - 5*a^4*z^4 - 
   3*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 6*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46400] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 + a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46401] -> 
  -5 - 3/a^4 + 7/a^2 + 3*a^2 - a^4 - 11*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46402] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   (5*z^4)/a^8 - (12*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46403] -> 1 - 2*a^2 + 6*a^4 - 6*a^6 + 2*a^8 + 2*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 13*a^4*z^2 - 12*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 10*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46404] -> -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^12 - (5*z^4)/a^10 - 
   (12*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 46405] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 - 
   (11*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46406] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46407] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46408] -> 
  4/a^16 - 11/a^14 + 5/a^12 + 3/a^10 + (5*z^2)/a^16 - (32*z^2)/a^14 + 
   (24*z^2)/a^12 + (17*z^2)/a^10 - z^4/a^16 - (24*z^4)/a^14 + (40*z^4)/a^12 + 
   (31*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (27*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 46409] -> 2/a^16 - 4/a^14 - 3/a^12 + 
   6/a^10 + z^2/a^16 - (11*z^2)/a^14 - (2*z^2)/a^12 + (22*z^2)/a^10 + 
   (3*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + (9*z^4)/a^12 + (27*z^4)/a^10 + 
   (8*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (11*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 46410] -> 
  -1 + a^(-2) + 2*a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + 9*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 
   11*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 46411] -> 
  1 - a^2 + a^4 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46412] -> a^(-16) - 3/a^14 + 2/a^12 - a^(-10) + 
   2/a^6 - z^2/a^16 - (3*z^2)/a^14 + (4*z^2)/a^12 + z^2/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (4*z^4)/a^10 + 
   (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 46413] -> 
  1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^10 + 
   (5*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46414] -> a^(-12) - 3/a^10 + 2/a^8 - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (3*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 46415] -> 
  3 - a^(-2) - a^2 + 9*z^2 - z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 
   a^6*z^2 + 8*z^4 - z^4/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 + z^6 + (2*z^6)/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46416] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 4*z^2 - z^2/a^8 + (7*z^2)/a^4 - 
   (9*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 46417] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (15*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (4*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46418] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + z^2 + (4*z^2)/a^8 - (3*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - z^4 + z^4/a^10 - z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 - 
   z^6 - (2*z^6)/a^8 - z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 46419] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 - z^2/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + 2*a^4*z^4 + (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 46420] -> 
  2 - a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + 2*z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 46421] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 46422] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 + z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + z^4/a^6 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 46423] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (3*z^2)/a^16 - (25*z^2)/a^14 + 
   (18*z^2)/a^12 + (17*z^2)/a^10 + z^2/a^8 - (2*z^4)/a^16 - (18*z^4)/a^14 + 
   (35*z^4)/a^12 + (28*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (24*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 46424] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) - (10*z^2)/a^14 + (3*z^2)/a^12 + 
   (14*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - (4*z^4)/a^14 + (10*z^4)/a^12 + 
   (21*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + 
   (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 46425] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 7*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46426] -> -6 - 2/a^6 + a^(-4) + 6/a^2 + 2*a^2 - 
   17*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (5*z^4)/a^6 + (7*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46427] -> -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - 
   (4*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46428] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46429] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (20*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 46430] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 7*a^2*z^2 - 20*a^4*z^2 + 18*a^6*z^2 - 
   5*a^8*z^2 + 4*z^4 - 2*a^2*z^4 - 18*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 8*a^2*z^6 - 11*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 46431] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   5*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 7*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46432] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 + z^2/a^4 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46433] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46434] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (16*z^2)/a^4 + (16*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 - z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 46435] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 + z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46436] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2/a^10 + 
   z^2/a^8 - (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (5*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 - z^6 - (2*z^6)/a^8 + 
   (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46437] -> -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + 
   a^(-4) + a^(-2) - (2*z^2)/a^12 + (9*z^2)/a^10 - (10*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - 
   (19*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 46438] -> 
  -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 46439] -> 
  3*a^4 - 4*a^6 + 3*a^8 - a^12 + z^2 + a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 - 
   5*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 46440] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 + 
   3*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 - 
   2*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 46441] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - z^4/a^8 + z^4/a^6 - 
   (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 46442] -> 2 - a^(-6) + 4/a^4 - 4/a^2 - a^2 + a^4 + 
   4*z^2 - z^2/a^8 + (4*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46443] -> 2*a^4 - a^6 + a^10 - a^12 + z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 46444] -> 
  4*a^8 - 2*a^10 - a^12 + 2*a^4*z^2 + 2*a^6*z^2 + 7*a^8*z^2 + 2*a^10*z^2 - 
   a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 + 2*a^8*z^4 + 4*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 46445] -> a^6 + 4*a^10 - 5*a^12 + a^14 + 3*a^4*z^2 + 
   2*a^6*z^2 + 12*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - 
   a^6*z^4 - 3*a^8*z^4 + 9*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 
   5*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 46446] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 9*z^2 + z^2/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 9*z^4 + (5*z^4)/a^4 - (12*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46447] -> 
  4 - a^(-4) - 2*a^2 + 10*z^2 - z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 
   9*z^4 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 46448] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   6*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 + 7*a^2*z^4 - 
   13*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46449] -> -2 + a^(-8) - 3/a^6 + 4/a^4 - a^(-2) + 
   2*a^2 - 6*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 - z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 46450] -> 
  3 - 4*a^2 + 2*a^4 + 4*z^2 + z^2/a^2 - 13*a^2*z^2 + 6*a^4*z^2 + z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46451] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 10*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + z^4/a^2 - 10*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46452] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 5*z^2 - (4*z^2)/a^2 + 9*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 + 12*z^4 - (6*z^4)/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46453] -> 6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 - z^2/a^4 - 
   (3*z^2)/a^2 - 7*a^2*z^2 - a^4*z^2 + a^6*z^2 + 11*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46454] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 20*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 24*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46455] -> 
  -2*a^4 + 8*a^6 - 5*a^8 + 2*a^2*z^2 - 9*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 
   2*a^10*z^2 + 5*a^2*z^4 - 14*a^4*z^4 + 17*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46456] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 + z^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46457] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - z^2 + 
   z^2/a^2 + 5*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 46458] -> -3 + 6*a^2 - 2*a^6 - 10*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (5*z^4)/a^2 + 12*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46459] -> -3 + a^(-4) + 4*a^2 - a^4 - 9*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 46460] -> a^2 + 2*a^6 - 3*a^8 + a^10 + z^2 + 
   a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - z^4 + 
   3*a^2*z^4 - 11*a^4*z^4 + 13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   5*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 46461] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 46462] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 
   3*z^2 + z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46463] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 10*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (16*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 46464] -> 
  -7 - 2/a^6 + 8/a^2 + 2*a^2 - 19*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (21*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + z^4/a^4 + (22*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46465] -> a^(-16) - 2/a^14 - a^(-12) + 3/a^8 - 
   (7*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (3*z^4)/a^14 + (9*z^4)/a^12 + (12*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 46466] -> 3 - 2/a^6 + 3/a^4 - a^(-2) - 
   3*a^2 + a^4 + 7*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - 
   7*a^2*z^2 + 2*a^4*z^2 + 6*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 46467] -> 
  -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   20*a^2*z^2 - 5*a^4*z^2 - 25*z^4 + z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46468] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 46469] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 
   z^2 + (3*z^2)/a^8 + (2*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   z^4/a^10 - z^4/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 - z^6/a^10 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46470] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 46471] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 46472] -> 
  1 - 2/a^6 + 3/a^4 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46473] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 + 3*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 46474] -> -2 + 2/a^2 + a^4 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 + a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 46475] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - 
   z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 46476] -> 
  a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 + 4*a^2*z^2 - 12*a^4*z^2 + 23*a^6*z^2 - 
   12*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 19*a^4*z^4 + 24*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 13*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 46477] -> 2*a^4 - a^8 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46478] -> 2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 + 
   6*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 
   5*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 46479] -> a^2 + a^6 - a^8 + 2*a^2*z^2 + a^4*z^2 - 
   a^8*z^2 + a^12*z^2 - z^4 - a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 46480] -> 
  1 + a^2 - a^4 - a^6 + a^8 + z^2 - a^2*z^2 - a^4*z^2 - a^6*z^2 - a^8*z^2 + 
   a^10*z^2 + z^4 - z^4/a^2 - 2*a^2*z^4 + a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46481] -> 
  -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 6*z^2 + 19*a^2*z^2 - 17*a^4*z^2 + 
   9*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46482] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 46483] -> 
  -3 + 3/a^2 + a^4 - a^6 + a^8 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 46484] -> -a^(-2) + 5*a^2 - 3*a^4 - 3*z^2 - 
   z^2/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^4 + 
   9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 46485] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - z^2/a^4 + 3*a^2*z^2 - a^4*z^2 - 
   a^6*z^2 + z^4 + z^4/a^6 + z^4/a^4 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 46486] -> 
  a^2 + a^6 - a^8 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   a^8*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 46487] -> -2/a^10 + a^(-8) + 2/a^6 - 
   z^2/a^14 + (3*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (3*z^4)/a^10 + (3*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 - (4*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46488] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 19*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46489] -> 
  1 - a^2 + a^4 + a^6 - a^8 + z^2 + z^2/a^4 - 4*a^2*z^2 + 5*a^6*z^2 - 
   a^8*z^2 + z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 46490] -> a^2 + a^4 - 2*a^8 + a^10 + 4*a^4*z^2 - 
   a^6*z^2 - 4*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 46491] -> 
  2*a^2 - 2*a^6 + a^8 - z^2 + 3*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + a^10*z^2 - 
   z^4 - z^4/a^2 + 3*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 46492] -> 
  1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 + z^2 - z^2/a^4 - 4*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 46493] -> -3 + a^(-2) + 4*a^2 - a^6 - 
   9*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 46494] -> 2*a^2 - a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 46495] -> a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 - 
   2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 46496] -> 
  -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (13*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (14*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (9*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46497] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + z^2 + (2*z^2)/a^8 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 - z^4/a^8 + z^4/a^6 - (4*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 46498] -> 
  2*a^4 + a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 2*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 
   15*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 
   11*a^6*z^4 - 22*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 8*a^4*z^6 + 
   10*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 46499] -> 4*a^4 - 5*a^6 + 2*a^8 + a^10 - 
   a^12 + z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   3*a^2*z^4 + a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 46500] -> 
  1 - 2/a^6 + 5/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - z^2/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 46501] -> 
  2*a^8 + 3*a^10 - 5*a^12 + a^14 + a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + 
   14*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 5*a^8*z^4 + 
   15*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 8*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 46502] -> -5 + a^(-6) - a^(-4) + 2/a^2 + 5*a^2 - a^4 - 
   21*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 26*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (24*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 46503] -> -2 + 6*a^2 - 5*a^4 + 4*a^6 - 2*a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46504] -> 
  2 - a^(-2) + a^6 - a^8 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 46505] -> -2*a^4 + 8*a^6 - 5*a^8 + z^2 + 2*a^2*z^2 - 
   10*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 + 2*z^4 + a^2*z^4 - 
   15*a^4*z^4 + 16*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46506] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - z^2/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (7*z^4)/a^8 - (10*z^4)/a^4 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46507] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 46508] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 8*z^2 + 
   z^2/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 46509] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 46510] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 10*z^2 + (7*z^2)/a^6 - 
   (25*z^2)/a^4 + (31*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (18*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 - 
   (2*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46511] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (8*z^2)/a^10 - (19*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + z^4/a^10 - (20*z^4)/a^8 + 
   (18*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 46512] -> 
  5 - 2/a^2 - 2*a^2 + 10*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 46513] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^12 - z^2/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 46514] -> 
  1 - a^(-12) + a^(-10) + a^(-8) - a^(-6) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 46515] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46516] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   4*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + z^4/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 46517] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 + a^4*z^2 + 4*a^6*z^2 + 6*a^8*z^2 - 
   8*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 + 7*a^8*z^4 - 
   8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 46518] -> 
  -5 + a^(-2) + 13*a^2 - 12*a^4 + 4*a^6 - 9*z^2 + 28*a^2*z^2 - 28*a^4*z^2 + 
   8*a^6*z^2 - z^4 - (4*z^4)/a^2 + 27*a^2*z^4 - 27*a^4*z^4 + 5*a^6*z^4 + 
   7*z^6 - (4*z^6)/a^2 + 16*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46519] -> 4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 8*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^4 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46520] -> -a^4 + 4*a^6 - 2*a^10 + 2*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 + 12*a^8*z^2 - 7*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   2*a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 8*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46521] -> 
  -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 + z^2 - 2*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 2*a^4*z^4 + 
   2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46522] -> 
  a^2 - 5*a^4 + 11*a^6 - 6*a^8 + z^2 + 3*a^2*z^2 - 14*a^4*z^2 + 24*a^6*z^2 - 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46523] -> 
  2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 + 8*a^8*z^2 - 
   5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46524] -> -a^2 + 4*a^4 - 3*a^6 + 3*a^8 - 2*a^10 + 
   z^2 - 3*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46525] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - 2*z^2 + 
   7*a^2*z^2 + a^4*z^2 - 16*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 
   24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 46526] -> 2 - 2*a^2 + 3*a^4 - 4*a^6 + 
   2*a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 
   3*z^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46527] -> 1 - a^(-12) + 2/a^10 - a^(-8) + 2*z^2 - 
   z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46528] -> 
  -1 + a^(-2) + 4*a^4 - 5*a^6 + 2*a^8 - z^2/a^2 - a^2*z^2 + 7*a^4*z^2 - 
   10*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 
   8*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 46529] -> 
  -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - z^2/a^4 + 2*a^2*z^2 - 2*a^4*z^2 - 
   3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 + 3*a^2*z^4 - 2*a^6*z^4 + 
   2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 46530] -> 
  2*a^4 - 3*a^6 + 4*a^8 - a^10 - a^12 + 2*a^2*z^2 + 4*a^4*z^2 - 9*a^6*z^2 + 
   10*a^8*z^2 + 4*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 13*a^6*z^4 + 
   5*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 3*a^4*z^6 - 9*a^6*z^6 - 
   2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 46531] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + z^2 + 
   a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + 5*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 
   3*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 46532] -> 
  a^2 - a^4 + 4*a^8 - 3*a^10 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 
   10*a^8*z^2 - a^10*z^2 - a^12*z^2 + z^4 + a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 
   5*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 4*a^4*z^6 - 4*a^6*z^6 - a^8*z^6, 
 Knot[15, Alternating, 46533] -> 4*a^8 - 2*a^10 - a^12 + 4*a^6*z^2 + 
   8*a^8*z^2 + a^10*z^2 - 2*a^14*z^2 + a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 + 
   4*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^8*z^6 + 2*a^12*z^6 - 
   a^6*z^8 - 2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 46534] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 2*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 4*a^2*z^6 + 5*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 2*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46535] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46536] -> -3 + 6*a^2 - 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 
   9*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 3*a^2*z^4 + 
   14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46537] -> -9 + 4/a^2 + 8*a^2 - 2*a^4 - 21*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 22*a^2*z^2 - 7*a^4*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 2*z^6 + z^6/a^4 - 
   (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 46538] -> 
  -2 + 2/a^4 - 2/a^2 + 4*a^2 - a^4 + z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46539] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 13*z^2 - z^2/a^4 - z^2/a^2 - 17*a^2*z^2 + 
   6*a^4*z^2 + 8*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 20*a^2*z^4 + 7*a^4*z^4 - 
   z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46540] -> -a^(-12) + 2/a^10 - 2/a^6 + 2/a^2 - 
   (3*z^2)/a^12 + (11*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (19*z^4)/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (9*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 46541] -> 1 - a^(-12) + 2/a^10 - a^(-8) + 
   a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + z^4 + (3*z^4)/a^10 - (5*z^4)/a^8 - z^4/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46542] -> -3 + a^(-2) + 8*a^2 - 8*a^4 + 3*a^6 - 
   5*z^2 - z^2/a^2 + 19*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 + 4*z^4 - 
   (5*z^4)/a^2 + 19*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 
   12*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 46543] -> 
  2 - 3*a^4 + 2*a^6 + 6*z^2 - z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 9*z^4 - (2*z^4)/a^4 + z^4/a^2 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46544] -> 2*a^4 - a^8 - z^2 + (2*z^2)/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46545] -> -1 + 2*a^2 + a^4 - a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46546] -> -3 - 4/a^4 + 8/a^2 + z^2 + z^2/a^6 - 
   (9*z^2)/a^4 + (15*z^2)/a^2 - 4*a^2*z^2 + 11*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 46547] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 5*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 + z^4/a^2 + 3*a^2*z^4 + 14*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 46548] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 5*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 - 
   2*z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 
   4*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 46549] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 - z^2/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 + 
   a^4*z^2 - 17*z^4 - (4*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   3*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 7*a^2*z^6 + a^4*z^6 + 3*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 46550] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 
   5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 46551] -> 5 + 2/a^4 - 6/a^2 + 2*a^2 - 
   2*a^4 + 11*z^2 + (5*z^2)/a^4 - (16*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 
   8*z^4 + (7*z^4)/a^4 - (19*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (4*z^6)/a^4 - (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46552] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 46553] -> 1 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46554] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 46555] -> -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 
   20*z^2 - (6*z^2)/a^4 + (19*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 22*z^4 - 
   (2*z^4)/a^4 + (16*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46556] -> 
  1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46557] -> -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 - 
   z^2/a^10 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46558] -> a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + a^2 - 
   4*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (6*z^4)/a^4 + a^2*z^4 - z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46559] -> 
  2 + a^(-6) - 2/a^2 - a^4 + a^6 + 4*z^2 - (3*z^2)/a^4 - (2*z^2)/a^2 - 
   2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^6 - z^4/a^4 + 
   (3*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 4*z^6 + z^6/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6, Knot[15, Alternating, 46560] -> a^2 + a^4 - 3*a^6 + 5*a^8 - 
   4*a^10 + a^12 + a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 8*a^8*z^2 - 5*a^10*z^2 + 
   a^12*z^2 - z^4 + a^4*z^4 - a^6*z^4 + 4*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 
   2*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 46561] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + a^(-6) + 2/a^4 - z^2/a^14 + 
   (8*z^2)/a^12 - (7*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 46562] -> -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^8 + 
   z^2/a^6 - (3*z^2)/a^4 + z^4 - z^4/a^10 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46563] -> 
  -3 + a^(-8) - 5/a^6 + 7/a^4 - a^(-2) + 2*a^2 - 8*z^2 - (7*z^2)/a^6 + 
   (15*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (14*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46564] -> -2*a^2 + 7*a^4 - 6*a^6 + 4*a^8 - 2*a^10 + 
   z^2 - 5*a^2*z^2 + 14*a^4*z^2 - 9*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 
   2*z^4 - 5*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46565] -> -a^2 + 5*a^4 - 5*a^6 + 4*a^8 - 2*a^10 + 
   z^2 - 3*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   5*a^2*z^4 + 5*a^4*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46566] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 46567] -> 2 - 3*a^2 + 5*a^4 - 5*a^6 + 
   2*a^8 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 10*a^4*z^2 - 12*a^6*z^2 + 
   4*a^8*z^2 + 4*z^4 - z^4/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 10*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 46568] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   a^(-8) + a^(-4) + a^(-2) + z^2 + (4*z^2)/a^12 - (2*z^2)/a^10 - 
   (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 - 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 46569] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 - 
   z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 46570] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 
   z^2 - z^2/a^8 + (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[15, Alternating, 46571] -> 
  2*a^4 - a^6 + a^10 - a^12 + z^2 + 2*a^4*z^2 + a^8*z^2 + 3*a^10*z^2 - 
   a^12*z^2 + z^4 - a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   2*a^4*z^6 - 2*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 46572] -> 
  2 - a^2 - a^4 + 2*a^8 - a^10 + z^2/a^2 - 4*a^4*z^2 - 3*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 - 4*z^4 + z^4/a^2 + a^2*z^4 - 3*a^4*z^4 - 7*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 46573] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 46574] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 3*z^2 - z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46575] -> a^6 + 3*a^8 - 3*a^10 + a^4*z^2 + 4*a^6*z^2 + 
   6*a^8*z^2 - a^10*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 + 2*a^6*z^4 + 
   3*a^8*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - 
   a^10*z^6, Knot[15, Alternating, 46576] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + 
   z^2 - 3*a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 
   4*a^4*z^4 + a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46577] -> 
  3 - 2/a^2 + 2*a^4 - 2*a^6 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 + 6*a^4*z^2 - 
   3*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 46578] -> 
  1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 46579] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46580] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 3*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (2*z^4)/a^4 + 
   12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46581] -> 2*a^2 - a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46582] -> 
  a^(-2) - 2*a^4 + 3*a^6 - a^8 - z^2 + (2*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - 7*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - 3*z^6 - z^6/a^2 - 4*a^2*z^6 - 2*a^4*z^6, 
 Knot[15, Alternating, 46583] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^12 + (10*z^4)/a^10 - (18*z^4)/a^8 + (14*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 46584] -> -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46585] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 + 
   z^2/a^4 + 2*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 46586] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (8*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 46587] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46588] -> -3 - 3/a^6 + 6/a^4 - a^(-2) + 2*a^2 - 
   7*z^2 - z^2/a^8 - (4*z^2)/a^6 + (15*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^8 + (15*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 46589] -> 
  -2/a^6 + 4/a^4 - a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 46590] -> a^(-10) - a^(-8) + a^(-6) - 2/a^4 + a^(-2) + 
   a^2 + z^2/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - a^2*z^2 + 
   3*z^4 - (3*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46591] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 
   3*z^2 + z^2/a^4 + 3*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 3*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 
   2*a^4*z^6, Knot[15, Alternating, 46592] -> 1 - a^(-2) + 2*a^2 - a^4 + 
   a^6 - a^8 + z^2 + z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 + a^4*z^4 + 2*a^6*z^4 - 
   2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 46593] -> 
  2 - a^(-8) + a^(-6) - a^2 + 6*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 4*a^2*z^2 + 
   8*z^4 + z^4/a^8 - (4*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 46594] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 5*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 + 
   8*z^4 + z^4/a^6 - (2*z^4)/a^4 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46595] -> 2 - a^(-2) + a^2 - a^4 + 6*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 6*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 46596] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46597] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (20*z^4)/a^6 - (22*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (14*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 46598] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   4*z^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46599] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   2*z^2 - z^2/a^4 + 4*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 46600] -> 
  a^2 + a^4 - a^6 + 3*a^4*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46601] -> 
  -2 + a^(-6) - a^(-4) + 2/a^2 + a^6 - 2*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 46602] -> -1 + a^(-2) + a^2 - z^2 - 
   z^2/a^2 + 2*a^2*z^2 - a^6*z^2 - z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 46603] -> a^(-2) - a^4 + a^6 + z^2 - z^2/a^2 - 
   4*a^4*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 46604] -> 3 + a^(-6) - 2/a^4 - a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - a^4*z^2 + 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 46605] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - 6*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   4*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 46606] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4/a^2 - a^4*z^4 - 
   a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 46607] -> a^2 + 2*a^6 - 3*a^8 + a^10 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   a^4*z^4 + 5*a^6*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6, 
 Knot[15, Alternating, 46608] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   3*z^2 - z^2/a^6 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - 3*z^6 - z^6/a^2 - 
   2*a^2*z^6, Knot[15, Alternating, 46609] -> -1 + a^(-6) - a^2 + 2*a^4 - 
   2*z^2 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46610] -> -2 + 2/a^2 + a^4 - 4*z^2 + (3*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - (2*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46611] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 - 5*a^2*z^2 + 2*a^6*z^2 + a^8*z^2 + 
   4*z^4 - (2*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 
   3*z^6 - z^6/a^2 + a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 46612] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 3*z^4 + 
   11*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 10*a^2*z^6 - 
   12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46613] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46614] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - (9*z^2)/a^14 + (3*z^2)/a^12 + 
   (11*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + 
   (18*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 46615] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 + z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 
   24*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 46616] -> 
  2*a^2 - a^4 - 3*z^2 + z^2/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46617] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46618] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   (3*z^2)/a^16 - (28*z^2)/a^14 + (23*z^2)/a^12 + (16*z^2)/a^10 - 
   (3*z^4)/a^16 - (28*z^4)/a^14 + (57*z^4)/a^12 + (25*z^4)/a^10 - 
   (4*z^6)/a^16 - (6*z^6)/a^14 + (53*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + 
   (3*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 46619] -> 2/a^16 - 6/a^14 + 3/a^12 + 
   2/a^8 - z^2/a^16 - (11*z^2)/a^14 + (10*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 - (3*z^4)/a^16 - (4*z^4)/a^14 + (18*z^4)/a^12 + 
   (20*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 46620] -> -3 - a^(-6) + 4/a^2 + a^2 - 
   13*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 46621] -> 
  -3 + 2/a^4 - 2/a^2 + 6*a^2 - 2*a^4 - 9*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (7*z^4)/a^4 - (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46622] -> 2 - 2*a^2 - 3*a^4 + 8*a^6 - 4*a^8 + z^2 + 
   (2*z^2)/a^2 - a^2*z^2 - 15*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 6*a^2*z^4 - 25*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46623] -> 
  -1 + a^(-2) + 3*a^6 - 2*a^8 - 4*z^2 + z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 - 
   3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 46624] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 
   20*z^2 + z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   23*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 46625] -> 
  a^2 + a^4 - a^6 - z^2 + 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 
   2*a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46626] -> 
  -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 19*z^2 - (3*z^2)/a^8 + z^2/a^6 + 
   z^2/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (5*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (8*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 46627] -> -4 - a^(-4) + 5/a^2 - a^2 + 
   2*a^4 - 5*z^2 - (2*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46628] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^4 + 3*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 + 13*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 46629] -> 2 - a^(-10) + 3/a^8 - 4/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46630] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   6*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + a^4*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 46631] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46632] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 46633] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 
   2*a^6 - 10*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 19*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 - 14*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 24*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 46634] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 
   a^4*z^2 + 6*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 
   5*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 46635] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 46636] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 3*z^2 - 
   z^2/a^4 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 46637] -> 2 - a^(-10) + 3/a^8 - 4/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46638] -> -a^2 + 5*a^4 - 3*a^6 - 2*z^2 + z^2/a^2 - 
   4*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 
   17*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 7*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46639] -> 1 + 2/a^4 - 5/a^2 + 7*a^2 - 4*a^4 + 
   (5*z^2)/a^4 - (13*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 
   (6*z^4)/a^4 - (13*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46640] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (12*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (12*z^6)/a^6 + 
   (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 46641] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46642] -> 
  -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (15*z^4)/a^10 + (12*z^4)/a^8 + 
   (15*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + (18*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 46643] -> 
  a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + (4*z^2)/a^12 - (16*z^2)/a^10 + 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (25*z^4)/a^10 + 
   (27*z^4)/a^8 + (18*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (27*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46644] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (2*z^4)/a^8 + (16*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46645] -> -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) - 
   (5*z^2)/a^10 + (16*z^2)/a^8 - (8*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (26*z^4)/a^8 - (28*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 46646] -> -a^(-12) + 3/a^8 - 3/a^6 + 
   a^(-4) + a^(-2) - (2*z^2)/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 - 
   (13*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + (9*z^4)/a^10 - 
   (2*z^4)/a^8 - (20*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (13*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - 
   (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 46647] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - z^2/a^10 - z^2/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - z^4/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (13*z^6)/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 46648] -> 
  -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 13*z^2 - (5*z^2)/a^6 + (15*z^2)/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 13*z^4 - (4*z^4)/a^6 + (25*z^4)/a^4 - 
   (22*z^4)/a^2 + 9*a^2*z^4 - 10*z^6 - z^6/a^6 + (15*z^6)/a^4 - 
   (26*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 46649] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (15*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 46650] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - 
   z^2/a^6 - z^2/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46651] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46652] -> 
  2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + (3*z^2)/a^16 - (19*z^2)/a^14 + 
   (10*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + 
   (25*z^4)/a^12 + (25*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + 
   (20*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 46653] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 6*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46654] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (11*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 46655] -> 2/a^16 - 5/a^14 + a^(-12) + 
   a^(-10) + 2/a^8 + (2*z^2)/a^16 - (15*z^2)/a^14 + (8*z^2)/a^12 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (12*z^4)/a^14 + (20*z^4)/a^12 + 
   (19*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (16*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 46656] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 
   7/a^2 - 6*z^2 + z^2/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 - 
   7*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46657] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 + z^2/a^2 - z^4/a^10 - z^4/a^8 + 
   (9*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46658] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46659] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (13*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + 
   (28*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 46660] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (10*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 46661] -> 
  a^(-6) - a^(-4) + a^2 - 8*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46662] -> -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - 
   z^2/a^14 + z^2/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + z^4/a^10 - (2*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 46663] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - 
   (15*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46664] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 7*z^2 - 
   (5*z^2)/a^6 + (16*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^6 + (25*z^4)/a^4 - (24*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (15*z^6)/a^4 - (26*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 46665] -> -2 - a^(-8) + a^(-6) + 2/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 46666] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + z^2/a^4 - z^2/a^2 - 3*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 46667] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 46668] -> -4 + 2/a^4 - 2/a^2 + 8*a^2 - 3*a^4 - 
   12*z^2 + (6*z^2)/a^4 - (9*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + 
   (7*z^4)/a^4 - (13*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46669] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 2*z^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 46670] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 46671] -> 
  a^(-2) - a^4 + a^6 + z^2 - 3*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - 
   z^4/a^4 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46672] -> 
  -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 46673] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - 
   a^4 - 6*z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 4*z^6 + 
   z^6/a^6 - (7*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 46674] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (12*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46675] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 
   z^2/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46676] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^4 + 9*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46677] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 18*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (23*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 + z^4/a^6 - (13*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (2*z^6)/a^6 - z^6/a^4 + (14*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 46678] -> 2/a^16 - 7/a^14 + 3/a^12 + 
   3/a^10 + (2*z^2)/a^16 - (20*z^2)/a^14 + (15*z^2)/a^12 + (17*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + (29*z^4)/a^12 + (28*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46679] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) - (9*z^2)/a^14 + (7*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + (11*z^4)/a^12 + (14*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 46680] -> 
  2*a^4 - 2*a^6 + a^8 + 2*a^10 - 2*a^12 + 2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 46681] -> a^2 - a^4 + a^6 + a^8 - a^12 + 
   z^2 + z^2/a^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - 3*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 46682] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 18*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46683] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (3*z^2)/a^16 - (22*z^2)/a^14 + (14*z^2)/a^12 + (19*z^2)/a^10 + z^2/a^8 - 
   z^4/a^16 - (19*z^4)/a^14 + (31*z^4)/a^12 + (31*z^4)/a^10 + (3*z^4)/a^8 - 
   z^6/a^16 - (3*z^6)/a^14 + (24*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + 
   z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46684] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 - 
   (4*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 46685] -> 2/a^6 - 5/a^4 + 4/a^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + (2*z^4)/a^8 - (17*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 46686] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   z^2 + a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 46687] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46688] -> 
  a^2 + a^6 - a^8 + z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 
   z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 46689] -> 
  -2 + 2/a^4 - 2/a^2 + 4*a^2 - a^4 - 5*z^2 + (6*z^2)/a^4 - (11*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (7*z^4)/a^4 - (16*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46690] -> 1 - 2/a^10 + 3/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (10*z^4)/a^8 - (8*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46691] -> 1 - a^(-12) + a^(-10) + a^(-6) - a^(-4) + 
   2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4 + (3*z^4)/a^10 - z^4/a^8 - (7*z^4)/a^6 - (5*z^4)/a^4 - 
   z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 46692] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^2 + z^4 - z^4/a^10 + 
   (2*z^4)/a^8 - z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (3*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46693] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   (5*z^2)/a^10 + (17*z^2)/a^8 - (12*z^2)/a^6 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (24*z^4)/a^8 - (25*z^4)/a^6 - (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (14*z^6)/a^8 - (24*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46694] -> 1 - a^(-12) + a^(-10) + a^(-8) - a^(-6) + 
   2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46695] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46696] -> 
  -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - (7*z^2)/a^10 + (24*z^2)/a^8 - 
   (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^10 + (33*z^4)/a^8 - 
   (36*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (17*z^6)/a^8 - 
   (32*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46697] -> 1 - 2/a^10 + 3/a^8 + a^(-6) - 3/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (10*z^4)/a^8 - 
   (4*z^4)/a^6 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46698] -> -a^(-12) + a^(-10) + 2/a^8 - 3/a^6 + 2/a^2 - 
   (3*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 - (13*z^2)/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (4*z^4)/a^8 - (21*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (14*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 46699] -> 1 - a^(-12) + a^(-10) + a^(-8) - 2/a^4 + 
   a^(-2) + 2*z^2 - z^2/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (10*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 46700] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46701] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (13*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46702] -> 3 - a^(-2) - 2*a^4 + a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 46703] -> 2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 + 
   3*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + 
   (6*z^4)/a^4 - (14*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46704] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 18*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (19*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + (21*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46705] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   (6*z^2)/a^10 - (14*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - 
   (14*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - 
   (4*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46706] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   4*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46707] -> 
  -2 + 2/a^8 - a^(-6) - 7/a^4 + 9/a^2 - 5*z^2 + (4*z^2)/a^8 - z^2/a^6 - 
   (22*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (4*z^4)/a^6 - 
   (25*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46708] -> 
  -5 + 2/a^4 - 2/a^2 + 10*a^2 - 4*a^4 - 19*z^2 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   27*a^2*z^2 - 8*a^4*z^2 - 24*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 + 27*a^2*z^4 - 
   5*a^4*z^4 - 16*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46709] -> 4 + 2/a^8 - 3/a^6 + a^(-4) - 2/a^2 - a^2 + 
   8*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 46710] -> 1 + 2/a^4 - 3/a^2 - a^2 + 4*a^4 - 
   2*a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 
   2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 46711] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   19*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 46712] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 5*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   3*z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 46713] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (13*z^2)/a^12 - (18*z^2)/a^10 + (9*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (24*z^4)/a^12 - (30*z^4)/a^10 + (8*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (15*z^6)/a^12 - (27*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 46714] -> -a^(-10) + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (4*z^2)/a^12 - (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46715] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + 
   (3*z^2)/a^16 - (23*z^2)/a^14 + (19*z^2)/a^12 + (11*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (20*z^4)/a^14 + (37*z^4)/a^12 + (21*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (26*z^6)/a^12 + (16*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46716] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (6*z^4)/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46717] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 19*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + (7*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46718] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46719] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 - 2*z^2 + 
   (5*z^2)/a^8 - (7*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (13*z^4)/a^6 - (10*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46720] -> -4 + 2/a^4 - 2/a^2 + 8*a^2 - 3*a^4 - 
   14*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + 
   (6*z^4)/a^4 - (9*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46721] -> 
  2 - 2*a^2 - 2*a^4 + 6*a^6 - 3*a^8 + z^2 + z^2/a^2 - 12*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 19*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46722] -> -1 + a^(-2) + a^2 - a^6 + 2*a^8 - a^10 - 
   2*z^2 + z^2/a^4 + a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 46723] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (9*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (25*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 46724] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46725] -> 
  4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 46726] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + z^2 - z^2/a^6 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 46727] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 2*z^2 - z^2/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 46728] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + a^(-2) + a^2 - 2*z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 46729] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 2*z^2 - z^2/a^6 + z^2/a^4 + 
   4*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   6*a^4*z^4 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 46730] -> 
  2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46731] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46732] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 2*z^2 - 
   (3*z^2)/a^2 - 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 2*a^2*z^4 - 6*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46733] -> a^2 - a^4 + 5*a^6 - 6*a^8 + 2*a^10 - 2*z^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 19*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 14*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 46734] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 46735] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 6*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 46736] -> 
  2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46737] -> 
  2/a^16 - 6/a^14 + 5/a^12 - 4/a^10 + 4/a^8 + z^2/a^16 - (13*z^2)/a^14 + 
   (13*z^2)/a^12 - (2*z^2)/a^10 + (12*z^2)/a^8 - (2*z^4)/a^16 - 
   (7*z^4)/a^14 + (19*z^4)/a^12 + (8*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (13*z^6)/a^12 + (8*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 46738] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 10*z^2 - z^2/a^6 + (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^6 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^6 - (8*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 46739] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + z^2/a^8 + (7*z^2)/a^6 - (25*z^2)/a^4 + 
   (22*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 + z^4/a^6 - (26*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (14*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46740] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - (18*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (20*z^6)/a^6 - (2*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 46741] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - 
   (7*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (6*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 46742] -> 
  a^(-16) - 3/a^14 + a^(-12) + a^(-8) + a^(-6) - (8*z^2)/a^14 + 
   (7*z^2)/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (11*z^4)/a^12 + (10*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 46743] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46744] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 46745] -> 2 + a^(-6) - 2/a^4 + a^(-2) - 2*a^2 + a^4 + 
   3*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46746] -> -2/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^14 + 
   (9*z^2)/a^12 - (12*z^2)/a^10 + (7*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + 
   (22*z^4)/a^12 - (26*z^4)/a^10 + (7*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + 
   (15*z^6)/a^12 - (26*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - 
   (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 46747] -> -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46748] -> 2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + 
   z^2/a^16 - (17*z^2)/a^14 + (16*z^2)/a^12 + (6*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (11*z^4)/a^14 + (27*z^4)/a^12 + (17*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (18*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 46749] -> a^(-16) - 3/a^14 + 2/a^10 + a^(-6) - 
   z^2/a^16 - (6*z^2)/a^14 + (4*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (9*z^4)/a^12 + (13*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 46750] -> 
  2 - 2/a^2 + 5*a^2 - 5*a^4 + a^6 + 6*z^2 - (5*z^2)/a^2 + 12*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - z^4/a^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 6*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + 
   z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 46751] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + (5*z^2)/a^8 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - (12*z^4)/a^6 - (8*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (18*z^6)/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 46752] -> 
  2 - 2*a^2 + 3*a^8 - 2*a^10 + (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 - 5*a^4*z^4 - 
   8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 46753] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (19*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (5*z^4)/a^6 - 
   (20*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46754] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 46755] -> 
  -1 + a^(-2) + a^2 - a^4 + a^6 + a^8 - a^10 - 2*z^2 + z^2/a^4 + z^2/a^2 - 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 3*z^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 46756] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 3*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 46757] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (18*z^4)/a^6 + (20*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (13*z^6)/a^6 + (23*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46758] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + z^4/a^6 + (9*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (9*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 46759] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (9*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 46760] -> 
  1 + a^2 - a^4 - a^6 + a^8 - z^2/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 + 
   2*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   6*a^4*z^4 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 46761] -> 
  -a^(-6) + 3/a^4 - a^(-2) - 2*a^2 + 2*a^4 - (2*z^2)/a^8 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 46762] -> 
  -1 + 2/a^2 - a^2 + a^6 + z^2 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^2 - 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 46763] -> 
  1 - a^(-10) + 3/a^8 - a^(-6) - a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^10 + 
   (2*z^2)/a^8 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 46764] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 + 2*z^2 - z^2/a^2 - a^2*z^2 + a^4*z^2 + 
   5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46765] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 46766] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46767] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 - (4*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - 
   (14*z^4)/a^10 + (16*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (19*z^6)/a^8 + (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 46768] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 - z^2/a^2 - 
   a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 
   a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46769] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 - 3*z^2 - z^2/a^4 + z^2/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 46770] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 46771] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 + 
   z^2/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 46772] -> 1 - a^(-10) + 3/a^8 - a^(-6) - 
   a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   z^4/a^6 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 46773] -> 4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 - a^2*z^2 + 
   8*a^4*z^2 - 9*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + z^4 - 3*a^2*z^4 + 
   6*a^4*z^4 - 6*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 - 
   2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46774] -> 2 - 5*a^2 + 6*a^4 - a^6 - a^8 + 3*z^2 - 
   10*a^2*z^2 + 10*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 
   8*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46775] -> 
  4 + 2/a^4 - 5/a^2 - a^2 + 3*a^4 - 2*a^6 + 5*z^2 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 46776] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 46777] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 3*z^2 + 11*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46778] -> 
  1 + 2*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 
   6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 + 6*a^2*z^6 - 
   7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46779] -> a^4 + a^6 - a^8 + a^10 - a^12 + a^2*z^2 + 
   2*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 5*a^10*z^2 - 2*a^4*z^4 + 7*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 
   4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 46780] -> 1 + a^4 - a^6 - a^8 + a^10 + z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - z^4 + 3*a^2*z^4 - 
   11*a^4*z^4 + 12*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 
   9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 46781] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46782] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 11*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - 
   z^6/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 46783] -> 
  2*a^4 - a^8 + z^2 - a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 46784] -> -2 + a^(-4) + 3*a^2 - 2*a^4 + 
   a^6 - 11*z^2 + z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 46785] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + 4*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 + 6*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46786] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 - 5*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 46787] -> 
  -4 + a^(-4) + 7*a^2 - 4*a^4 + a^6 - 12*z^2 + z^2/a^4 + z^2/a^2 + 
   14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 46788] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + z^2 - 
   5*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - z^4 + 3*a^2*z^4 - 
   11*a^4*z^4 + 13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 5*a^2*z^6 - 
   9*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 46789] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 
   2*z^2 + 8*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 5*a^2*z^4 - 
   2*a^6*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46790] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 + 3*z^4 - 14*a^2*z^4 + 7*a^4*z^4 + 19*z^6 - 
   (7*z^6)/a^2 - 24*a^2*z^6 + 5*a^4*z^6 + 18*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + 
   a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 46791] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 3*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - a^2*z^4 + 7*a^4*z^4 - 16*a^6*z^4 + 
   7*a^8*z^4 - 7*a^2*z^6 + 20*a^4*z^6 - 24*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 
   18*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 46792] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 + 7*z^4 - z^4/a^2 - 15*a^2*z^4 + 
   7*a^4*z^4 + 20*z^6 - (7*z^6)/a^2 - 24*a^2*z^6 + 5*a^4*z^6 + 18*z^8 - 
   (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 46793] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) - z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (5*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46794] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^6*z^2 + z^4 - z^4/a^2 - a^2*z^4 - 6*a^4*z^4 + 
   3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - 
   z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46795] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 10*a^4*z^4 - 
   a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46796] -> 4*a^4 - 4*a^6 + a^8 - a^2*z^2 + 11*a^4*z^2 - 
   13*a^6*z^2 + 5*a^8*z^2 - 2*z^4 + 3*a^2*z^4 + 8*a^4*z^4 - 18*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 6*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46797] -> 2 - a^(-2) + a^2 - a^4 + z^2 + a^2*z^2 - 
   2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46798] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 + 11*z^2 - 40*a^2*z^2 + 52*a^4*z^2 - 
   17*a^6*z^2 + 21*z^4 - 70*a^2*z^4 + 72*a^4*z^4 - 17*a^6*z^4 + 18*z^6 - 
   64*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 46799] -> -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 14*z^2 + 
   (6*z^2)/a^2 + 2*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 20*z^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 46800] -> 2 - 6*a^2 + 7*a^4 - 2*a^8 + 
   8*z^2 - 21*a^2*z^2 + 16*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 9*z^4 - 
   26*a^2*z^4 + 9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 16*a^2*z^6 - 
   2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 46801] -> 
  -2 + a^(-2) + 4*a^4 - a^6 - a^8 - 6*z^2 + (4*z^2)/a^2 - 4*a^2*z^2 + 
   10*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 
   6*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46802] -> 
  5 - 2/a^2 - 2*a^2 + 22*z^2 + (2*z^2)/a^4 - (13*z^2)/a^2 - 9*a^2*z^2 + 
   42*z^4 + (9*z^4)/a^4 - (32*z^4)/a^2 - 12*a^2*z^4 + 36*z^6 + (12*z^6)/a^4 - 
   (39*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 46803] -> 3 - a^(-2) - a^2 + 11*z^2 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 11*z^4 + (5*z^4)/a^4 - (14*z^4)/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46804] -> -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - 
   (3*z^2)/a^14 + (14*z^2)/a^12 - (15*z^2)/a^10 - (6*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (15*z^4)/a^12 - (16*z^4)/a^10 - 
   (17*z^4)/a^8 + (11*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 46805] -> -a^(-14) + 4/a^12 - 4/a^10 - 2/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (4*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (5*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 46806] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 + 5*z^2 - 23*a^2*z^2 + 34*a^4*z^2 - 12*a^6*z^2 + 
   12*z^4 - 42*a^2*z^4 + 50*a^4*z^4 - 13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 
   38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 46807] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 35*z^2 + (7*z^2)/a^4 - (28*z^2)/a^2 - 
   12*a^2*z^2 + 51*z^4 + (13*z^4)/a^4 - (46*z^4)/a^2 - 13*a^2*z^4 + 38*z^6 + 
   (13*z^6)/a^4 - (45*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 46808] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   11*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 + 5*z^4 - 21*a^2*z^4 + 25*a^4*z^4 - 
   8*a^6*z^4 + 8*z^6 - 26*a^2*z^6 + 26*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 
   19*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 46809] -> 2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + 2*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46810] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 5*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 7*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46811] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 
   6*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46812] -> -1 + a^(-2) + a^2 - 4*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46813] -> a^2 + a^4 - a^6 - z^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + a^8*z^2 - z^4/a^2 + 7*a^2*z^4 - 9*a^4*z^4 + a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46814] -> a^2 + a^4 - a^6 - 2*z^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - z^4/a^2 + 9*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 46815] -> 1 - a^(-10) + 4/a^8 - 3/a^6 - 
   2/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (9*z^2)/a^4 + z^2/a^2 + 
   z^4 - (2*z^4)/a^10 + (8*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46816] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46817] -> 5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 7*z^2 + 
   (6*z^2)/a^4 - (16*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46818] -> 
  2 - 6*a^2 + 9*a^4 - 4*a^6 + 5*z^2 - 23*a^2*z^2 + 33*a^4*z^2 - 12*a^6*z^2 + 
   12*z^4 - 42*a^2*z^4 + 50*a^4*z^4 - 13*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 
   38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 46819] -> 
  2 - 4*a^2 + 4*a^4 - a^8 + 4*z^2 - 12*a^2*z^2 + 8*a^4*z^2 + 6*a^6*z^2 - 
   4*a^8*z^2 + 5*z^4 - 14*a^2*z^4 + 4*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 46820] -> 4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 6*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (4*z^4)/a^4 - 
   (12*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 46821] -> 4 + 2/a^4 - 6/a^2 + 4*a^2 - 
   3*a^4 + 6*z^2 + (8*z^2)/a^4 - (19*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 + 
   z^4 + (10*z^4)/a^4 - (25*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46822] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46823] -> 
  -3 + 2/a^2 + 2*a^2 - 3*z^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - 
   (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46824] -> 
  2 + 2/a^6 - 3/a^4 + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - a^2*z^2 + 
   2*z^4 + (4*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 46825] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + 
   a^2 + a^4 - 10*z^2 + z^2/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 - z^4/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 46826] -> 
  -a^(-14) + 4/a^12 - 5/a^10 + 2/a^6 + a^(-4) - z^2/a^14 + (7*z^2)/a^12 - 
   (6*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (5*z^4)/a^12 - (5*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 46827] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 2*z^2 + (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46828] -> 6 + 2/a^4 - 6/a^2 - a^4 + 11*z^2 + 
   (6*z^2)/a^4 - (17*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + (7*z^4)/a^4 - 
   (20*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 46829] -> 9*a^8 - 12*a^10 + 4*a^12 - 
   2*a^4*z^2 + 34*a^8*z^2 - 34*a^10*z^2 + 8*a^12*z^2 - 5*a^4*z^4 + 
   49*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 46830] -> 
  -a^4 + 6*a^6 - 2*a^8 - 4*a^10 + 2*a^12 - a^2*z^2 - 2*a^4*z^2 + 15*a^6*z^2 + 
   a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 17*a^6*z^4 + 
   6*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 46831] -> 2 - 10*a^2 + 17*a^4 - 8*a^6 + 13*z^2 - 
   47*a^2*z^2 + 61*a^4*z^2 - 20*a^6*z^2 + 24*z^4 - 79*a^2*z^4 + 80*a^4*z^4 - 
   18*a^6*z^4 + 19*z^6 - 69*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 46832] -> -3 + a^(-2) + 8*a^4 - 5*a^6 - 
   13*z^2 + (6*z^2)/a^2 - a^2*z^2 + 23*a^4*z^2 - 9*a^6*z^2 - 19*z^4 + 
   (9*z^4)/a^2 - 6*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46833] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 + 9*z^2 - 34*a^2*z^2 + 46*a^4*z^2 - 15*a^6*z^2 + 
   16*z^4 - 55*a^2*z^4 + 59*a^4*z^4 - 14*a^6*z^4 + 14*z^6 - 50*a^2*z^6 + 
   40*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 46834] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 - a^4*z^2 + 3*a^6*z^2 + 19*a^8*z^2 - 
   17*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 + 22*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 46835] -> 
  -a^2 + 5*a^4 - 3*a^6 - 3*a^2*z^2 + 14*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 - 
   2*z^4 + 2*a^2*z^4 + 11*a^4*z^4 - 15*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   6*a^2*z^6 + a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46836] -> 
  3*a^4 - 2*a^6 - z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   z^4/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 46837] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 
   3/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + 
   (12*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^4 + 
   (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 46838] -> 2 - 6*a^2 + 6*a^4 + 2*a^6 - 3*a^8 + 8*z^2 - 
   19*a^2*z^2 + 9*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 9*z^4 - 23*a^2*z^4 + 
   20*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 46839] -> -2 + a^(-2) + 3*a^4 + a^6 - 2*a^8 - 6*z^2 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 7*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (3*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 46840] -> 2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + 2*a^2*z^2 + 
   2*a^4*z^2 - 7*a^6*z^2 + 15*a^8*z^2 - 5*a^10*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 
   9*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46841] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46842] -> a^2 + a^4 - a^6 - 3*a^2*z^2 + 9*a^4*z^2 - 
   4*a^6*z^2 + 4*z^4 - 16*a^2*z^4 + 24*a^4*z^4 - 8*a^6*z^4 + 8*z^6 - 
   25*a^2*z^6 + 26*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 12*a^4*z^8 - 
   a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 46843] -> 9 - 4/a^2 - 4*a^2 + 34*z^2 + (6*z^2)/a^4 - 
   (24*z^2)/a^2 - 12*a^2*z^2 + 51*z^4 + (13*z^4)/a^4 - (45*z^4)/a^2 - 
   13*a^2*z^4 + 38*z^6 + (13*z^6)/a^4 - (45*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 46844] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 
   2*a^2 - 11*z^2 - (5*z^2)/a^6 + (17*z^2)/a^4 - (10*z^2)/a^2 + 7*a^2*z^2 - 
   19*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - (12*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46845] -> 
  -2 - a^(-8) + 3/a^6 - 2/a^4 + a^(-2) + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 46846] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^4 - 
   z^2/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   16*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46847] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 4*a^2*z^2 - 
   a^4*z^2 - 8*a^6*z^2 + 19*a^8*z^2 - 6*a^10*z^2 + 6*a^2*z^4 - 11*a^4*z^4 - 
   9*a^6*z^4 + 18*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 7*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46848] -> 
  -2 + a^(-2) + a^2 + a^4 + 2*a^6 - 2*a^8 - 10*z^2 + (4*z^2)/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   17*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 46849] -> a^2 - 2*a^4 + 3*a^6 + a^8 - 
   2*a^10 + 2*z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 46850] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46851] -> 
  a^2 + a^4 - a^6 - 7*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 
   13*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + 
   (4*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46852] -> 
  5 - 2/a^2 - 2*a^2 + 13*z^2 + z^2/a^6 - z^2/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 
   17*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 46853] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 3*z^2 + 10*a^2*z^2 - 11*a^4*z^2 + 
   4*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   5*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 46854] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 46855] -> 3 - a^(-2) - 2*a^4 + a^6 + 11*z^2 - 
   (4*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 16*z^4 - (5*z^4)/a^2 - 
   8*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46856] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 
   5*z^2 - z^2/a^4 - 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46857] -> -2 + a^(-2) + 3*a^2 - a^4 + 2*z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 + 16*z^4 - (4*z^4)/a^2 - 23*a^2*z^4 + 8*a^4*z^4 + 
   25*z^6 - (8*z^6)/a^2 - 26*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 
   12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 46858] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   13*z^2 - (6*z^2)/a^6 + (12*z^2)/a^4 + 5*a^2*z^2 - 16*z^4 - (7*z^4)/a^6 + 
   (17*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46859] -> 
  -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 10*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (11*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 46860] -> 
  -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 5*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (16*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 46861] -> -8 - 2/a^6 + a^(-4) + 7/a^2 + 
   3*a^2 - 23*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 
   27*z^4 - (4*z^4)/a^6 + (15*z^4)/a^4 + (4*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46862] -> 
  a^4 + 4*a^8 - 6*a^10 + 2*a^12 + a^4*z^2 + 16*a^8*z^2 - 15*a^10*z^2 + 
   3*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 + 19*a^8*z^4 - 13*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 7*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 46863] -> 
  -a^(-14) + 5/a^12 - 6/a^10 - 2/a^8 + 5/a^6 - (3*z^2)/a^14 + (14*z^2)/a^12 - 
   (14*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (15*z^4)/a^10 - (17*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 46864] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 6*a^4*z^2 - 8*a^6*z^2 + 10*a^8*z^2 - 
   3*a^10*z^2 + 2*a^4*z^4 - 7*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 2*a^2*z^6 - 
   2*a^4*z^6 - 4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 3*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46865] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - 
   a^(-2) + 2*z^2 + (2*z^2)/a^8 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46866] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46867] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 10*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 
   13*z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46868] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - z^2 + 
   11*a^4*z^2 - 15*a^6*z^2 + 5*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 9*a^4*z^4 - 
   18*a^6*z^4 + 6*a^8*z^4 - z^6 + 6*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46869] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   5*a^4*z^2 + 12*a^6*z^2 + 12*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 + 16*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 46870] -> a^4 + a^6 + a^8 - 3*a^10 + 
   a^12 - 2*a^2*z^2 + 2*a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 6*a^10*z^2 + 
   a^12*z^2 - z^4 - 2*a^2*z^4 + 4*a^4*z^4 + 11*a^6*z^4 + 3*a^8*z^4 - 
   4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 46871] -> -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + 
   a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 46872] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 + (3*z^2)/a^8 - z^2/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (7*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46873] -> 2 - 7*a^2 + 11*a^4 - 5*a^6 + 7*z^2 - 
   27*a^2*z^2 + 36*a^4*z^2 - 12*a^6*z^2 + 13*z^4 - 46*a^2*z^4 + 51*a^4*z^4 - 
   13*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 46874] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 
   25*z^2 + (5*z^2)/a^4 - (21*z^2)/a^2 - 9*a^2*z^2 + 43*z^4 + (10*z^4)/a^4 - 
   (37*z^4)/a^2 - 12*a^2*z^4 + 36*z^6 + (12*z^6)/a^4 - (40*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 46875] -> 
  5 + 2/a^4 - 5/a^2 - a^2 + 12*z^2 + (3*z^2)/a^4 - (13*z^2)/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 11*z^4 + (5*z^4)/a^4 - (15*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46876] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46877] -> 
  2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 4*z^2 - 10*a^2*z^2 + 4*a^4*z^2 + 
   9*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 13*a^2*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 10*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 46878] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 + 
   a^4*z^2 - 3*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 - 
   3*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 3*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46879] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 11*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + 
   z^4/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 46880] -> 
  2*a^2 - a^4 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46881] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 12*a^2*z^2 - 
   5*a^4*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - a^6*z^4 - 
   2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 46882] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46883] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46884] -> -2 + a^(-2) + 2*a^2 + a^4 - 
   a^6 - 2*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   z^4/a^2 - 5*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46885] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   z^2 + a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 + 
   2*a^8*z^4 - 2*z^6 + 3*a^2*z^6 - a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 
   3*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46886] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-2) + (4*z^2)/a^10 - (4*z^2)/a^8 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 46887] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 
   2*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 - 5*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46888] -> 
  2 - a^(-2) + a^2 - a^4 - 2*z^2 + 10*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 
   10*z^4 - z^4/a^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46889] -> 
  2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 4*z^2 - 12*a^2*z^2 + 8*a^4*z^2 + 
   7*a^6*z^2 - 4*a^8*z^2 + 5*z^4 - 14*a^2*z^4 + 4*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 46890] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + 
   (3*z^2)/a^4 - (11*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (12*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46891] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 5*a^4*z^2 - 5*a^6*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 + 2*a^4*z^4 - 6*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 2*a^2*z^6 - 
   2*a^4*z^6 - 4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 3*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46892] -> 2 - 3*a^2 + 3*a^4 - a^6 - 4*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46893] -> a^(-6) - a^(-4) + a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46894] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (5*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46895] -> 1 - 2/a^4 + 3/a^2 - a^2 - 5*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 - 12*z^4 - z^4/a^6 + (10*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46896] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (5*z^2)/a^8 + (15*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (12*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 + z^6/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46897] -> 1 - 2/a^4 + 3/a^2 - a^2 - 5*z^2 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 - 11*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - z^6/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46898] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46899] -> -5 + 3/a^2 + 3*a^2 - 9*z^2 + (2*z^2)/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46900] -> 2 + 2/a^6 - 3/a^4 + (2*z^2)/a^8 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46901] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 - z^2 + z^2/a^8 - (5*z^2)/a^4 + z^2/a^2 + 
   z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 46902] -> 
  1 + 4*z^2 - z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46903] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (13*z^2)/a^4 - 3*z^4 + (5*z^4)/a^8 - (14*z^4)/a^6 + (11*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46904] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 12*z^2 + 
   (13*z^2)/a^4 - (26*z^2)/a^2 + 19*z^4 - (2*z^4)/a^6 + (23*z^4)/a^4 - 
   (52*z^4)/a^2 + 15*z^6 - (3*z^6)/a^6 + (23*z^6)/a^4 - (52*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (11*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 46905] -> 
  7 - a^(-2) - 9*a^2 + 4*a^4 + 27*z^2 - (3*z^2)/a^2 - 47*a^2*z^2 + 
   20*a^4*z^2 + 42*z^4 - (5*z^4)/a^2 - 83*a^2*z^4 + 29*a^4*z^4 + 33*z^6 - 
   (4*z^6)/a^2 - 73*a^2*z^6 + 20*a^4*z^6 + 13*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 46906] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^8 - 
   (17*z^4)/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 + (4*z^6)/a^8 - (21*z^6)/a^6 + 
   (24*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - 
   (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 46907] -> 2 + a^(-4) - 2/a^2 + 15*z^2 + (7*z^2)/a^4 - 
   (19*z^2)/a^2 - 4*a^2*z^2 + 37*z^4 + (9*z^4)/a^4 - (37*z^4)/a^2 - 
   12*a^2*z^4 + 43*z^6 + (5*z^6)/a^4 - (32*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 46908] -> 2 - a^(-2) + a^4 - a^6 + 7*z^2 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 12*z^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46909] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^4 + 
   z^4/a^2 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46910] -> 
  a^6 + 3*a^8 - 3*a^10 + 19*a^8*z^2 - 10*a^10*z^2 + 6*a^4*z^4 - 18*a^6*z^4 + 
   39*a^8*z^4 - 12*a^10*z^4 + 11*a^4*z^6 - 33*a^6*z^6 + 35*a^8*z^6 - 
   6*a^10*z^6 + 6*a^4*z^8 - 24*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 46911] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 + a^2*z^2 - 5*a^4*z^2 + 14*a^6*z^2 + 
   2*a^8*z^2 - 4*a^10*z^2 + 4*a^2*z^4 - 9*a^4*z^4 + 9*a^6*z^4 + 11*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 2*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46912] -> -2*a^2 + 7*a^4 - 4*a^6 - 7*a^2*z^2 + 
   20*a^4*z^2 - 8*a^6*z^2 + 4*z^4 - 17*a^2*z^4 + 30*a^4*z^4 - 9*a^6*z^4 + 
   8*z^6 - 25*a^2*z^6 + 27*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 
   12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 46913] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 3*a^2*z^2 + 
   2*a^4*z^2 - 9*a^6*z^2 + 5*a^8*z^2 - a^2*z^4 + 8*a^4*z^4 - 22*a^6*z^4 + 
   8*a^8*z^4 - 7*a^2*z^6 + 20*a^4*z^6 - 25*a^6*z^6 + 5*a^8*z^6 - 5*a^2*z^8 + 
   18*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 46914] -> 3*a^2 - 3*a^4 + a^6 + 
   6*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 6*a^2*z^4 - 
   8*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46915] -> a^4 - a^6 + 4*a^8 - 3*a^10 - a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 4*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46916] -> 
  3*a^6 - a^8 - a^10 + a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + z^4 - 
   2*a^4*z^4 + 4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46917] -> 
  11 - 5/a^2 - 5*a^2 + 33*z^2 + (2*z^2)/a^4 - (17*z^2)/a^2 - 13*a^2*z^2 + 
   48*z^4 + (9*z^4)/a^4 - (33*z^4)/a^2 - 13*a^2*z^4 + 37*z^6 + (12*z^6)/a^4 - 
   (39*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 46918] -> 3 + a^(-2) - 7*a^2 + 4*a^4 + 11*z^2 - 
   28*a^2*z^2 + 12*a^4*z^2 + 29*z^4 - (8*z^4)/a^2 - 46*a^2*z^4 + 13*a^4*z^4 + 
   38*z^6 - (12*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 46919] -> -2 + 3/a^2 - 3*a^2 + 3*a^4 - 7*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 4*z^4 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 
   9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 46920] -> 6 - 3/a^2 - a^2 - a^4 + 14*z^2 + 
   (2*z^2)/a^4 - (10*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 46921] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 
   6*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 
   3*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 46922] -> a^(-12) - 3/a^10 - a^(-8) + 
   5/a^6 - a^(-4) + (4*z^2)/a^12 - (13*z^2)/a^10 + (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (22*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (9*z^6)/a^8 + 
   (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 46923] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46924] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 46925] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^4*z^2 - 5*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46926] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46927] -> a^(-8) - 4/a^6 + 4/a^4 - z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 - 3*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + 
   (5*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 46928] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - 
   a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 46929] -> 
  a^6 + 3*a^8 - 3*a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 + 7*a^8*z^2 - 
   4*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46930] -> -a^4 + 5*a^6 - 2*a^8 - a^10 + z^2 - 
   3*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 46931] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - z^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 6*a^2*z^4 + 
   2*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 46932] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   6*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 46933] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + 
   (4*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (16*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46934] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^14 + (3*z^2)/a^12 + (6*z^2)/a^10 - (16*z^2)/a^8 + (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (5*z^4)/a^12 - (17*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (4*z^6)/a^10 - (9*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 46935] -> 4 - 2/a^2 - a^4 + 9*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^4 + z^4/a^2 - 6*a^2*z^4 - 
   2*a^4*z^4 + 2*a^6*z^4 + z^6 + (2*z^6)/a^2 - 5*a^2*z^6 - 2*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46936] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 14*z^2 - (5*z^2)/a^6 + (14*z^2)/a^4 - 
   z^2/a^2 + 7*a^2*z^2 - 20*z^4 - (4*z^4)/a^6 + (18*z^4)/a^4 - (7*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46937] -> -a^(-8) + a^(-6) + 2/a^4 - 2/a^2 + a^2 - 
   2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (11*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46938] -> 
  a^6 + 6*a^8 - 9*a^10 + 3*a^12 - 2*a^4*z^2 + 2*a^6*z^2 + 28*a^8*z^2 - 
   29*a^10*z^2 + 7*a^12*z^2 - 5*a^4*z^4 + a^6*z^4 + 45*a^8*z^4 - 
   34*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 34*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 46939] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 - a^2*z^2 + 9*a^6*z^2 + 6*a^8*z^2 - 
   12*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 13*a^6*z^4 + 8*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 46940] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 + 2*z^6 + a^2*z^6 - 2*a^4*z^6 - a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46941] -> 
  1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 - z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   9*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 11*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46942] -> -3 + a^(-2) + 3*a^2 + a^4 - a^8 - 4*z^2 + 
   z^2/a^4 + z^2/a^2 + a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 46943] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 13*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 46944] -> 2*a^4 - 4*a^6 + 7*a^8 - 4*a^10 + 5*a^4*z^2 - 
   8*a^6*z^2 + 17*a^8*z^2 - 6*a^10*z^2 + 2*a^2*z^4 - 9*a^6*z^4 + 17*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46945] -> a^4 + 2*a^8 - 2*a^10 + a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + z^4 - 3*a^4*z^4 + 2*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 46946] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 - 7*z^2 - z^2/a^4 + (9*z^2)/a^2 - 14*a^2*z^2 + 
   9*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 - 21*a^2*z^4 + 
   10*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46947] -> a^2 + 5*a^4 - 9*a^6 + 4*a^8 - z^2 + 
   4*a^2*z^2 + 8*a^4*z^2 - 23*a^6*z^2 + 10*a^8*z^2 - 2*z^4 + 8*a^2*z^4 + 
   a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46948] -> 
  3 + 2/a^4 - 4/a^2 + 6*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 10*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 5*a^2*z^4 + 10*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 46949] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 - 6*a^4*z^2 + 18*a^6*z^2 + 
   9*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 
   25*a^6*z^4 + 15*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 16*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 46950] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2/a^2 - 
   8*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   16*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46951] -> 2 - 3*a^2 - 2*a^4 + 9*a^6 - 5*a^8 + 8*z^2 - 
   12*a^2*z^2 - 9*a^4*z^2 + 26*a^6*z^2 - 8*a^8*z^2 + 9*z^4 - 18*a^2*z^4 - 
   17*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 46952] -> 
  -1 + a^(-2) - a^2 + a^4 + 4*a^6 - 3*a^8 - 4*z^2 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (3*z^4)/a^2 - 10*a^2*z^4 - 
   a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 46953] -> 
  2*a^2 - a^4 - 4*z^2 + 5*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 4*a^2*z^4 + 
   20*a^4*z^4 - 8*a^6*z^4 + 7*z^6 - 19*a^2*z^6 + 25*a^4*z^6 - 5*a^6*z^6 + 
   5*z^8 - 18*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 46954] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 + 4*z^4 - 
   20*a^2*z^4 + 8*a^4*z^4 + 19*z^6 - (7*z^6)/a^2 - 25*a^2*z^6 + 5*a^4*z^6 + 
   18*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 46955] -> 
  a^(-2) - a^2 + a^4 - z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^6*z^2 + 2*z^4 - 
   z^4/a^2 - 6*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 46956] -> 1 - (2*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^6*z^2 - 2*z^4 + z^4/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 46957] -> 
  a^4 + a^6 - a^10 - a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 
   3*a^4*z^4 - 4*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 2*a^2*z^6 - 2*a^4*z^6 - 
   4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 3*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 46958] -> 
  4 + a^(-6) + a^(-4) - 5/a^2 + 4*z^2 + (5*z^2)/a^4 - (14*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 - (13*z^4)/a^2 + 2*a^2*z^4 - 
   5*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46959] -> -2/a^6 + 3/a^4 - z^2 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (13*z^4)/a^6 + (11*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46960] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 46961] -> -6 + 2/a^2 + 8*a^2 - 3*a^4 - 14*z^2 + 
   (2*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 
   25*a^2*z^4 - 9*a^4*z^4 + 3*z^6 + z^6/a^4 - (7*z^6)/a^2 + 16*a^2*z^6 - 
   5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 46962] -> -1 + a^(-2) + a^2 - 3*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - z^4 + z^4/a^6 - (5*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + 2*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 46963] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + z^2/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + 
   (11*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 - z^6/a^4 + (11*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 46964] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   12*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (14*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46965] -> 
  -2 - a^(-8) + 2/a^6 + 2*a^2 - 5*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 46966] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 + (7*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 46967] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46968] -> 
  -a^(-8) - 3/a^6 + 8/a^4 - 3/a^2 - (19*z^2)/a^6 + (45*z^2)/a^4 - 
   (19*z^2)/a^2 + (4*z^4)/a^8 - (37*z^4)/a^6 + (82*z^4)/a^4 - (29*z^4)/a^2 + 
   (4*z^6)/a^8 - (32*z^6)/a^6 + (73*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 46969] -> 
  4 - a^(-4) - 2*a^2 + 25*z^2 - z^2/a^4 - (9*z^2)/a^2 - 12*a^2*z^2 + 52*z^4 + 
   (2*z^4)/a^4 - (22*z^4)/a^2 - 19*a^2*z^4 + 52*z^6 + (3*z^6)/a^4 - 
   (23*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 46970] -> 
  -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 8*z^2 - (7*z^2)/a^6 + 
   (11*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (16*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 46971] -> 
  -4/a^8 + 6/a^6 - a^(-4) - (5*z^2)/a^10 + (7*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - (8*z^4)/a^10 + (29*z^4)/a^8 - (21*z^4)/a^6 + (9*z^4)/a^4 - 
   (5*z^6)/a^10 + (30*z^6)/a^8 - (37*z^6)/a^6 + (12*z^6)/a^4 - z^8/a^10 + 
   (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 46972] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 - (2*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 + 3*z^4 - 
   (5*z^4)/a^6 + (15*z^4)/a^4 - (8*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 46973] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 + 
   (10*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (4*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 46974] -> 1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 
   2/a^2 + 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (14*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 46975] -> 
  -3 + a^(-6) - 3/a^4 + 5/a^2 + a^4 - 9*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (13*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 8*z^4 - (7*z^4)/a^4 + (15*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 - z^6/a^4 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 46976] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 46977] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - z^6/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 46978] -> 
  1 + 2/a^4 - 4/a^2 + 4*a^2 - 2*a^4 - 2*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 46979] -> -4 + 2/a^2 + 4*a^2 - a^4 - 9*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 46980] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + (2*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 46981] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 22*z^2 - (3*z^2)/a^2 - 36*a^2*z^2 + 
   15*a^4*z^2 + 38*z^4 - (5*z^4)/a^2 - 70*a^2*z^4 + 25*a^4*z^4 + 32*z^6 - 
   (4*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 46982] -> 4 - 6*a^2 + 3*a^4 + 4*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 19*a^2*z^2 + 9*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   25*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46983] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (10*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - z^6/a^4 + (2*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 46984] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 17*z^2 + (6*z^2)/a^4 - (18*z^2)/a^2 - 
   5*a^2*z^2 + 38*z^4 + (9*z^4)/a^4 - (36*z^4)/a^2 - 12*a^2*z^4 + 43*z^6 + 
   (5*z^6)/a^4 - (32*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 46985] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 + z^2/a^2 - 
   8*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46986] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 10*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 10*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 46987] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 3/a^8 + 3/a^4 - z^2/a^14 + (6*z^2)/a^12 - 
   z^2/a^10 - (9*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (3*z^4)/a^10 - (12*z^4)/a^8 - (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 46988] -> -a^4 + 6*a^6 - 4*a^8 + a^2*z^2 - 4*a^4*z^2 + 
   13*a^6*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 46989] -> -3*a^2 + 9*a^4 - 5*a^6 - 11*a^2*z^2 + 
   29*a^4*z^2 - 12*a^6*z^2 + 8*z^4 - 29*a^2*z^4 + 46*a^4*z^4 - 13*a^6*z^4 + 
   12*z^6 - 38*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 
   14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 46990] -> -2 + 4*a^2 + a^4 - 2*a^6 - 5*z^2 + 
   8*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 + 5*a^2*z^4 + 
   13*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 46991] -> 13 - 6/a^2 - 6*a^2 + 40*z^2 + (4*z^2)/a^4 - 
   (23*z^2)/a^2 - 15*a^2*z^2 + 55*z^4 + (12*z^4)/a^4 - (42*z^4)/a^2 - 
   14*a^2*z^4 + 39*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 46992] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 
   6*z^2 - 17*a^2*z^2 + 7*a^4*z^2 + 17*z^4 - (4*z^4)/a^2 - 29*a^2*z^4 + 
   9*a^4*z^4 + 25*z^6 - (8*z^6)/a^2 - 27*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - 
   (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 46993] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 
   a^2*z^2 + 14*a^4*z^2 - 22*a^6*z^2 + 9*a^8*z^2 - 9*a^2*z^4 + 32*a^4*z^4 - 
   42*a^6*z^4 + 12*a^8*z^4 - 12*a^2*z^6 + 39*a^4*z^6 - 36*a^6*z^6 + 
   6*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 14*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 46994] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 10*a^2*z^2 - 10*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - 5*z^4 + 12*a^2*z^4 - 6*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 46995] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   12*z^2 - z^2/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 3*z^6 + z^6/a^4 - 
   (7*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 46996] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 + a^2*z^2 - 9*a^4*z^2 + 
   11*a^6*z^2 - 3*a^8*z^2 + 5*z^4 + z^4/a^2 - 7*a^2*z^4 - 8*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 + z^6/a^2 - 9*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 46997] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 
   6*z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 46998] -> 1 + 2*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 46999] -> 
  -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47000] -> 
  -3 - 2/a^6 + 4/a^4 + 2*a^2 - 10*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47001] -> 2 - 3*a^2 + 5*a^6 - 3*a^8 + 4*z^2 - 
   6*a^2*z^2 - 6*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 5*z^4 - 9*a^2*z^4 - 
   12*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 47002] -> 
  -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 7*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 11*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47003] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   (5*z^4)/a^6 + (10*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47004] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47005] -> a^4 + 2*a^6 - 2*a^8 + z^2 - 4*a^2*z^2 + 
   5*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 9*a^2*z^4 + 3*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47006] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + 5*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47007] -> 2*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + 5*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 47008] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 8*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 3*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47009] -> -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   11*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47010] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 
   7*a^2*z^2 - a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 11*a^2*z^4 - 
   a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 4*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 47011] -> 1 + a^2 - a^4 - a^6 + a^8 + 
   2*z^2 - z^2/a^2 + 2*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47012] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - z^4/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 47013] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 20*z^4 + z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 
   16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47014] -> -2/a^8 + 2/a^6 + a^(-4) + z^2 - z^2/a^10 + 
   (5*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47015] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 4*z^2 - 
   8*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 8*z^4 - (4*z^4)/a^2 - 5*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47016] -> 2*a^2 - a^4 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 3*a^8*z^2 - 2*z^4 + 4*a^2*z^4 - 5*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 47017] -> -3 + 3/a^2 + a^2 - 2*a^4 + 2*a^6 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47018] -> 2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47019] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 4*z^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - 
   (11*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47020] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 47021] -> -2 - a^(-6) + a^(-4) + 2/a^2 + 
   a^2 - 8*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47022] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 + z^4/a^2 + 
   5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 47023] -> a^(-6) - a^(-4) + a^2 - 5*z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47024] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47025] -> 4 - 2/a^2 - a^4 + 8*z^2 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (4*z^4)/a^4 - (11*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47026] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2 - 
   z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 47027] -> 
  -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 47028] -> 
  a^6 + 3*a^8 - 3*a^10 + a^2*z^2 + a^4*z^2 - a^6*z^2 + 14*a^8*z^2 - 
   6*a^10*z^2 + 3*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47029] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47030] -> -a^(-10) + a^(-8) + a^(-2) + 
   (3*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4/a^12 - z^4/a^10 + 
   z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47031] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47032] -> 2 - a^(-6) + a^(-4) - a^2 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - z^4/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47033] -> 1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47034] -> -a^(-4) + 2/a^2 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^6 + (9*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47035] -> 3 + a^(-6) - 3/a^2 + 4*z^2 + z^2/a^8 - 
   z^2/a^6 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47036] -> -1 + a^(-4) + a^4 + z^2/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47037] -> 
  2 + 2/a^6 - 3/a^4 + z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47038] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47039] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 + 
   (5*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47040] -> -1 - a^(-6) + 3/a^2 - z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47041] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   4*z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - z^4/a^6 + 
   (7*z^4)/a^4 - (10*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 - 
   (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 47042] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47043] -> a^(-10) - 5/a^8 + 5/a^6 + 
   z^2/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (3*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47044] -> -a^(-8) + 2/a^4 + z^2 - z^2/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47045] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 6*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + 
   (11*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47046] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 47047] -> -13 - 2/a^4 + 9/a^2 + 9*a^2 - 2*a^4 - 
   29*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 25*z^4 + 
   z^4/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47048] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (14*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47049] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 47050] -> 
  1 + a^(-6) - 2/a^2 + a^2 + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 - a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47051] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47052] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - 
   (7*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47053] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47054] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47055] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 11*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47056] -> 
  -4 - a^(-8) + 5/a^6 - 12/a^4 + 13/a^2 - 10*z^2 + (7*z^2)/a^6 - 
   (25*z^2)/a^4 + (31*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (18*z^4)/a^4 + (32*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 - 
   (2*z^6)/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47057] -> 
  a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 + z^2/a^10 - (9*z^2)/a^8 + 
   (27*z^2)/a^6 - (26*z^2)/a^4 + (10*z^2)/a^2 - z^4/a^10 + (17*z^4)/a^6 - 
   (30*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + z^6/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47058] -> 
  -a^(-12) + 4/a^10 - 6/a^8 + 2/a^6 + 2/a^4 + (8*z^2)/a^10 - (19*z^2)/a^8 + 
   (13*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 + z^4/a^10 - (20*z^4)/a^8 + 
   (18*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (5*z^6)/a^10 - (6*z^6)/a^8 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 47059] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 10*z^2 - (5*z^2)/a^6 + (15*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 47060] -> 
  -1 - a^(-8) + a^(-6) + a^(-4) + a^2 - 3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   z^4/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47061] -> 1 - 4*a^4 + 8*a^6 - 4*a^8 - 2*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 18*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 11*a^2*z^4 - 26*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47062] -> 
  -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 2*a^8 - 3*z^2 + z^2/a^4 + z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 47063] -> 
  2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47064] -> 
  5*a^8 - 4*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 18*a^8*z^2 - 8*a^10*z^2 + 
   5*a^2*z^4 - 7*a^4*z^4 - 6*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 
   9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47065] -> -a^4 + 4*a^6 - 2*a^10 + z^2 - 2*a^4*z^2 + 
   8*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47066] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + z^2/a^4 - z^2/a^2 + 
   14*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 47067] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47068] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47069] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47070] -> 2 - 3*a^2 + 2*a^4 - a^6 + 3*a^8 - 2*a^10 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 
   5*z^4 + z^4/a^2 - 2*a^2*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 47071] -> 
  -1 + a^(-2) + a^4 + a^8 - a^10 - 3*z^2 + z^2/a^4 + z^2/a^2 + 3*a^8*z^2 - 
   3*z^4 - (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 47072] -> 1 - a^(-10) + 3/a^8 - 2/a^6 + 
   a^(-4) - 2/a^2 + a^2 - 2*z^2 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + 
   z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 47073] -> 
  2*a^4 - 3*a^6 + 4*a^8 - a^10 - a^12 + z^2 + 2*a^2*z^2 - 3*a^6*z^2 + 
   7*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, 
 Knot[15, Alternating, 47074] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 2*z^2 + 
   z^2/a^4 + 3*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 3*z^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 
   2*a^4*z^6, Knot[15, Alternating, 47075] -> -2 + a^(-6) - a^(-4) + a^(-2) + 
   2*a^2 - 7*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47076] -> -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 + 2*z^2 - 
   z^2/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + 5*z^4 + 
   z^4/a^2 - 6*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 + z^6/a^2 - 
   9*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47077] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 - 
   z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47078] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   12*z^2 + z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 - z^4/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 47079] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47080] -> -1 + a^(-2) + a^2 - 3*a^4 + 6*a^6 - 3*a^8 - 
   7*z^2 + (3*z^2)/a^2 + 9*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   12*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47081] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + 11*a^2*z^2 - 3*a^6*z^2 - 8*z^4 + z^4/a^2 + 
   13*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 47082] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47083] -> -a^(-14) + 3/a^12 - 2/a^10 - 4/a^8 + 5/a^6 - 
   (3*z^2)/a^14 + (13*z^2)/a^12 - (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (13*z^4)/a^10 - 
   (21*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 47084] -> -5 + 3/a^2 + 5*a^2 - 3*a^4 + a^8 - 15*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 47085] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (2*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47086] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 12*z^2 - z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 
   19*z^4 - (2*z^4)/a^6 + (11*z^4)/a^4 - (9*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47087] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47088] -> 
  -2/a^6 + 3/a^4 - 4*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + 2*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47089] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + 
   (2*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47090] -> a^(-2) - a^2 + a^4 - 4*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 47091] -> 
  -5 + 2/a^4 - 2/a^2 + 10*a^2 - 4*a^4 - 19*z^2 + (5*z^2)/a^4 - (5*z^2)/a^2 + 
   27*a^2*z^2 - 8*a^4*z^2 - 24*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 + 27*a^2*z^4 - 
   5*a^4*z^4 - 16*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47092] -> -a^(-4) + 2/a^2 - 7*z^2 - z^2/a^6 - 
   z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47093] -> 
  1 - a^2 + a^4 + a^6 - a^8 - z^2 + z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47094] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   3*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 
   (5*z^4)/a^4 - (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47095] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47096] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 47097] -> 
  a^4 + 2*a^8 - 2*a^10 - a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 
   4*a^10*z^2 + 3*a^4*z^4 - 4*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 2*a^2*z^6 - 
   2*a^4*z^6 - 4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 3*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47098] -> 3*a^2 - 3*a^4 + a^6 + 8*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 4*z^4 + 11*a^2*z^4 - 14*a^4*z^4 - 
   5*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 - 2*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 47099] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 2*z^2 + 
   2*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47100] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47101] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47102] -> -1 + 4*a^2 - 2*a^4 + 2*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 - z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47103] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 16*a^6*z^2 - 5*a^8*z^2 + 4*z^4 - 4*a^2*z^4 - 
   13*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 47104] -> 
  2*a^4 - a^8 + z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47105] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (2*z^2)/a^4 + 20*a^2*z^2 - 6*a^4*z^2 - 15*z^4 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47106] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 3*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 12*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 
   8*z^6 - (4*z^6)/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47107] -> 1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - z^2/a^4 - 
   4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47108] -> -a^(-14) + 3/a^12 - 2/a^10 - 3/a^8 + 3/a^6 + 
   a^(-4) - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (11*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 47109] -> 
  1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + 
   z^2/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - 
   z^4/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 47110] -> -a^(-2) + 5*a^2 - 3*a^4 - 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 47111] -> -a^4 + 6*a^6 - 4*a^8 + z^2 + 
   2*a^2*z^2 - 9*a^4*z^2 + 18*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 2*z^4 + 
   a^2*z^4 - 15*a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47112] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 + z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47113] -> -1 + a^(-4) + 2*a^2 - 2*a^4 + a^8 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 
   (3*z^4)/a^4 + 6*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 47114] -> -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + 3*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47115] -> 
  -9 + 3/a^2 + 11*a^2 - 4*a^4 - 20*z^2 + (4*z^2)/a^2 + 28*a^2*z^2 - 
   13*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + 26*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 
   2*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 47116] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 + z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47117] -> 
  -2/a^8 + 8/a^6 - 11/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - 
   (28*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (9*z^4)/a^6 - (25*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47118] -> 
  2 - a^(-8) + 4/a^6 - 4/a^4 + 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - (5*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47119] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 5*z^2 + 18*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 11*z^4 - z^4/a^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47120] -> 
  a^2 + a^4 - a^6 + 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47121] -> -a^(-14) + 4/a^12 - 5/a^10 + a^(-8) + 
   2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (7*z^2)/a^10 - z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - (7*z^4)/a^8 - 
   (5*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 47122] -> 
  3 - a^(-8) + 3/a^6 - a^(-4) - 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 47123] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2/a^10 - (2*z^2)/a^8 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47124] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47125] -> 4 + 3/a^4 - 6/a^2 + 7*z^2 - z^2/a^6 + 
   (5*z^2)/a^4 - (12*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47126] -> 
  2/a^6 - 3/a^4 + a^(-2) + a^2 + z^2/a^8 - (6*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47127] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47128] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47129] -> 
  -a^(-4) + 2/a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 
   a^4*z^2 + 6*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47130] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 3*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47131] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 - 2*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47132] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47133] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 3*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 + 14*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 47134] -> 
  3*a^6 - a^8 - a^10 + 2*z^2 - 2*a^2*z^2 - a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 47135] -> -1 + 6*a^4 - 4*a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 15*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   16*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47136] -> -2 + 2/a^2 + a^4 - 11*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 14*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47137] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 
   2*a^4 + 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + 3*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 47138] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   3*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   z^4/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47139] -> 2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) + 
   4*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 
   5*z^4 + z^4/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47140] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 
   21*z^2 + (6*z^2)/a^2 + 26*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 25*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 47141] -> 
  1 - a^(-14) + 3/a^12 - 3/a^10 + a^(-8) + z^2 + (3*z^2)/a^12 - 
   (3*z^2)/a^10 - z^2/a^4 - (2*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 47142] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 4*z^2 - z^2/a^6 + 2*a^2*z^2 - 
   a^4*z^2 - z^4 + z^4/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - z^6 - 
   z^6/a^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 47143] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 3*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   9*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   5*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 2*a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 47144] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - z^2/a^4 + (7*z^2)/a^2 + 
   9*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47145] -> 3 - a^(-2) - a^2 + z^2 - z^2/a^4 + z^2/a^2 + 
   a^2*z^2 - a^4*z^2 - 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47146] -> 1 - 2/a^10 + 4/a^8 - 2/a^6 + 3*z^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - (4*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47147] -> 
  -a^(-10) + 2/a^8 - a^(-4) + a^2 - 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (2*z^4)/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 47148] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - 
   a^6 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 47149] -> -1 + 3*a^2 - a^4 + a^6 - a^8 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 47150] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 2*z^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   9*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 6*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 + 
   7*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47151] -> 
  3*a^6 - a^8 - a^10 + z^2/a^2 - a^2*z^2 + a^4*z^2 + 5*a^6*z^2 + 2*a^8*z^2 - 
   a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 47152] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 4*z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (6*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47153] -> -2 + a^(-2) + 3*a^2 - a^4 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47154] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + 
   3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 + a^2*z^4 - 9*a^4*z^4 + 14*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 - a^2*z^6 - 6*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47155] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 16*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47156] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47157] -> -6 - 3/a^4 + 7/a^2 + 5*a^2 - 2*a^4 - 
   12*z^2 - z^2/a^6 + (9*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + 
   z^6/a^6 - (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 47158] -> 1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + 
   2*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47159] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   25*z^2 + z^2/a^6 - (5*z^2)/a^4 + (16*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 
   27*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 
   14*z^6 + z^6/a^6 - (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47160] -> 
  1 + 3*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 - 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47161] -> -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 
   7*z^2 - (6*z^2)/a^4 + (12*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (13*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 47162] -> 
  2/a^6 - 5/a^4 + 4/a^2 + 3*z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47163] -> 
  5*a^8 - 4*a^10 + 2*z^2 - a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 11*a^8*z^2 - 
   4*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 8*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47164] -> 
  -3 + a^(-2) + 6*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + z^2/a^4 + 
   12*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 47165] -> 
  a^2 - 4*a^4 + 7*a^6 - a^8 - 2*a^10 + z^2/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   10*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 2*a^2*z^4 - 
   7*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 3*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 47166] -> a^6 + 3*a^8 - 3*a^10 + 2*z^2 - 2*a^2*z^2 + 
   a^4*z^2 + 3*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47167] -> 3*a^2 - 5*a^6 + 3*a^8 + 2*z^2 - z^2/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 - 9*a^6*z^2 + 6*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 12*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47168] -> 3 - 5*a^2 + 4*a^4 - a^6 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47169] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 + 6*a^4*z^2 - a^6*z^2 + 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   2*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 47170] -> -1 + a^(-2) + a^2 - z^2 + a^2*z^2 - 
   a^4*z^2 - a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + a^2*z^4 - a^4*z^4 - 
   2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 47171] -> 2 + a^(-6) - a^(-4) - 2*a^2 + a^6 + 2*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 47172] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + z^4 + z^4/a^8 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 47173] -> 2*a^4 - 3*a^6 + 3*a^8 + a^10 - 2*a^12 + 
   2*z^2 + a^2*z^2 - 3*a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 6*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 47174] -> 
  -1 + a^(-2) + 2*a^4 - 2*a^6 + 2*a^8 - a^10 - 3*z^2 + z^2/a^4 + 2*a^2*z^2 + 
   a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 - 5*a^6*z^4 + z^6 + 3*a^2*z^6 + 2*a^4*z^6, 
 Knot[15, Alternating, 47175] -> a^2 - a^4 + 3*a^8 - a^10 - a^12 + z^2 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*a^8*z^2 + 2*a^10*z^2 - z^4 - 3*a^2*z^4 - 
   5*a^4*z^4 - 4*a^6*z^4 - a^8*z^4, Knot[15, Alternating, 47176] -> 
  1 - 2*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 47177] -> 3 + a^(-6) - 3/a^2 + z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47178] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 3*z^2 + 
   z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47179] -> -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 
   5*z^2 - z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - 
   z^4 - (2*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 47180] -> 
  -1 + a^(-2) + a^2 - a^6 + 2*a^8 - a^10 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 47181] -> a^2 - a^4 + a^6 + a^8 - a^12 + z^2 + 
   z^2/a^2 + 2*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 - 
   4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 47182] -> 5 - 2/a^2 - 2*a^2 + 17*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 47183] -> 
  -4/a^8 + 6/a^6 - a^(-4) - z^2/a^10 - (3*z^2)/a^8 + (14*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47184] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47185] -> -1 - 2/a^4 + 4/a^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 47186] -> 
  3*a^6 - a^8 - a^10 + a^2*z^2 - 4*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 
   2*a^10*z^2 + 4*a^2*z^4 - 11*a^4*z^4 + 13*a^6*z^4 + 5*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47187] -> a^4 + a^6 - a^10 + 2*a^4*z^2 + 4*a^6*z^2 + 
   a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - a^4*z^4 + 4*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47188] -> 
  a^2 + a^4 - a^6 + 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 
   5*a^2*z^4 - 3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 
   a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 47189] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 - z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 12*a^2*z^2 + 
   5*a^4*z^2 - (5*z^4)/a^4 + (12*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - 
   (4*z^6)/a^4 + (10*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 47190] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + 3*z^4 - 5*a^2*z^4 + a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   8*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47191] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - z^2/a^2 - 
   a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 2*a^2*z^4 + 
   3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47192] -> 
  3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + (3*z^2)/a^4 - (10*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^6*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47193] -> 
  1 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 47194] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 9*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47195] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   3*z^2 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 47196] -> 1 - 2/a^10 + 3/a^8 - a^(-4) + 3*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47197] -> 
  1 + a^(-8) - a^(-6) - a^2 + a^4 - 2*z^2 - (3*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 
   3*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2, 
 Knot[15, Alternating, 47198] -> 1 - a^2 + 4*a^6 - 4*a^8 + a^10 + z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   a^2*z^4 - 7*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47199] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - a^4*z^2 + 
   8*a^6*z^2 + 8*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   12*a^6*z^4 + 8*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   10*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 47200] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 + 
   2*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 47201] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - a^(-8) + a^(-6) + 2/a^4 - z^2/a^14 + 
   (8*z^2)/a^12 - (7*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + (2*z^2)/a^2 + 
   (4*z^4)/a^12 - (7*z^4)/a^10 - (8*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 47202] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47203] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^10 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47204] -> -a^4 + 4*a^6 - 2*a^10 + z^2 - 2*a^4*z^2 + 
   8*a^6*z^2 + 5*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 6*a^4*z^4 + 
   4*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47205] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   15*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 - 
   19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47206] -> 2*a^6 + a^8 - 2*a^10 + z^2 - a^4*z^2 + 
   6*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 
   4*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47207] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47208] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 + z^2 - 
   z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - 
   z^4/a^2 + 4*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47209] -> 2 - 3*a^2 + 3*a^4 - 2*a^6 + 2*a^8 - a^10 + 
   z^2/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 
   4*z^4 + z^4/a^2 + 2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 47210] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - a^(-2) + a^2 - 2*z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 47211] -> 
  -1 + 3*a^2 - a^6 - 5*z^2 + z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47212] -> 
  4*a^6 - 3*a^8 + z^2 - 3*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 
   2*z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 47213] -> -5 - 2/a^4 + 5/a^2 + 5*a^2 - 
   2*a^4 - 16*z^2 + z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (19*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47214] -> -1 - a^2 + 8*a^4 - 5*a^6 - 8*z^2 + 
   (3*z^2)/a^2 + 21*a^4*z^2 - 9*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   23*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 11*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47215] -> -3 + 6*a^2 - 2*a^6 - 8*z^2 + z^2/a^4 + 
   13*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   8*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47216] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + z^4/a^6 - 
   z^4/a^4 - z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47217] -> 2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^2 - 
   4*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47218] -> a^(-2) - a^2 + a^4 - z^2/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + a^6*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47219] -> 
  1 - a^(-8) + 2/a^6 - 3/a^4 + 3/a^2 - a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47220] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 7*z^2 + 
   (2*z^2)/a^4 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 - (4*z^6)/a^2 - 
   2*a^2*z^6, Knot[15, Alternating, 47221] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 - (5*z^6)/a^8 + 
   z^6/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47222] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 6*a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 16*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 47223] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 
   4*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 
   2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47224] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - 
   (5*z^2)/a^10 + (16*z^2)/a^8 - (8*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (11*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47225] -> 1 - 2/a^10 + 4/a^8 - a^(-6) - 2/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + z^4/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47226] -> 
  1 - a^2 + 2*a^4 - a^6 + 3*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - (3*z^4)/a^4 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 47227] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 - z^2 + 
   (2*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47228] -> 2*a^4 - a^8 - 3*z^2 + z^2/a^4 + z^2/a^2 - 
   a^2*z^2 + 5*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - 4*a^2*z^4 + 
   2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 47229] -> -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + 
   a^(-6) + 2/a^4 - z^2/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (3*z^4)/a^10 - 
   (11*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 47230] -> 
  2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47231] -> 
  -a^(-10) + 2/a^8 - a^(-6) + a^(-4) - a^(-2) + a^2 - z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 47232] -> 
  -a^(-4) + 2/a^2 - a^2 + 2*a^4 - a^6 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 47233] -> -a^2 + 3*a^4 + a^6 - 2*a^8 - 2*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47234] -> -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + z^2/a^4 + 
   2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 47235] -> a^4 + 2*a^8 - 2*a^10 + z^2 + 3*a^6*z^2 + 
   5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47236] -> 
  2*a^2 - a^4 + 5*z^2 - z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   10*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47237] -> 1 - 2/a^4 + 3/a^2 - a^2 - 3*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 47238] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 
   z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47239] -> -3/a^8 + 4/a^6 + z^2 - (3*z^2)/a^8 + 
   (10*z^2)/a^6 - (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + z^4/a^8 + (7*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47240] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 47241] -> -a^(-4) + 2/a^2 - z^2 - 
   z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47242] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 2*z^2 - 
   z^2/a^4 + z^2/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47243] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 12*z^2 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 + a^6*z^2 - 16*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47244] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 
   4*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 9*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47245] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (12*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 47246] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   5*z^2 - z^2/a^4 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47247] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47248] -> 
  -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 47249] -> 
  2 - 2/a^2 + 5*a^2 - 5*a^4 + a^6 + 2*z^2 - (3*z^2)/a^2 + 14*a^2*z^2 - 
   11*a^4*z^2 + 2*a^6*z^2 - z^4 - z^4/a^4 + z^4/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47250] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + 
   (2*z^2)/a^8 + z^2/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47251] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 9*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47252] -> 
  4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47253] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47254] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   4*z^4 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 47255] -> a^(-2) - a^6 + a^8 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - z^4 + (3*z^4)/a^4 + 
   5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 47256] -> 3 - a^(-2) - 2*a^4 + a^6 + 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 47257] -> -2 - a^(-6) + 4/a^4 - 2/a^2 + a^2 + a^4 - 
   6*z^2 - z^2/a^8 - z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 47258] -> 
  -2/a^10 + a^(-8) + 6/a^6 - 8/a^4 + 4/a^2 - (5*z^2)/a^10 + (10*z^2)/a^8 + 
   (13*z^2)/a^6 - (26*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^10 + (17*z^4)/a^8 + 
   (3*z^4)/a^6 - (33*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (7*z^6)/a^6 - (21*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47259] -> -a^(-12) + 2/a^8 + 2/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^12 + (4*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^12 + (6*z^4)/a^10 + (3*z^4)/a^8 - (12*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 47260] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 22*z^2 + 
   (6*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 23*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47261] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   2*z^2 + 14*a^2*z^2 - 26*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 + 3*z^4 + 
   5*a^2*z^4 - 27*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 6*a^2*z^6 - 
   16*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 47262] -> 
  -2*a^6 + 15*a^8 - 18*a^10 + 6*a^12 - 13*a^6*z^2 + 65*a^8*z^2 - 
   63*a^10*z^2 + 17*a^12*z^2 - 28*a^6*z^4 + 107*a^8*z^4 - 85*a^10*z^4 + 
   17*a^12*z^4 - 23*a^6*z^6 + 89*a^8*z^6 - 55*a^10*z^6 + 7*a^12*z^6 - 
   8*a^6*z^8 + 41*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 47263] -> 
  a^6 + 7*a^8 - 11*a^10 + 4*a^12 - 2*a^4*z^2 + 6*a^6*z^2 + 21*a^8*z^2 - 
   28*a^10*z^2 + 8*a^12*z^2 - 7*a^4*z^4 + 13*a^6*z^4 + 23*a^8*z^4 - 
   27*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 15*a^8*z^6 - 
   12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 47264] -> 
  -a^4 + 4*a^6 + 4*a^8 - 10*a^10 + 4*a^12 - 6*a^4*z^2 + 18*a^6*z^2 + 
   10*a^8*z^2 - 25*a^10*z^2 + 8*a^12*z^2 - 11*a^4*z^4 + 26*a^6*z^4 + 
   14*a^8*z^4 - 26*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 19*a^6*z^6 + 
   13*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 47265] -> 
  -a^4 + 7*a^6 - 4*a^8 - 3*a^10 + 2*a^12 - a^2*z^2 - a^4*z^2 + 17*a^6*z^2 - 
   7*a^8*z^2 - 7*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + a^4*z^4 + 16*a^6*z^4 - 
   3*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 9*a^6*z^6 + 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 47266] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - 
   z^2/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + 
   z^4/a^2 - 7*a^2*z^4 - 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   6*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47267] -> 2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 
   2*a^4*z^2 + 8*a^6*z^2 + 15*a^8*z^2 - 23*a^10*z^2 + 7*a^12*z^2 - 
   7*a^4*z^4 + 14*a^6*z^4 + 19*a^8*z^4 - 25*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 47268] -> a^4 + a^6 + 2*a^8 - 5*a^10 + 2*a^12 + 
   8*a^6*z^2 + 2*a^8*z^2 - 9*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 10*a^6*z^4 + 
   a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 47269] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 - a^2*z^2 + 
   a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 8*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 8*a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 47270] -> a^4 + 3*a^6 - 3*a^8 - a^10 + 
   a^12 - a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + 
   a^12*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 47271] -> 9*a^8 - 12*a^10 + 4*a^12 - 2*a^6*z^2 + 
   32*a^8*z^2 - 32*a^10*z^2 + 8*a^12*z^2 - 4*a^4*z^4 - 3*a^6*z^4 + 
   46*a^8*z^4 - 35*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 
   34*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 47272] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 23*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (24*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (4*z^6)/a^6 + 
   (6*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47273] -> 
  2 - 11*a^2 + 19*a^4 - 9*a^6 + 13*z^2 - 51*a^2*z^2 + 70*a^4*z^2 - 
   24*a^6*z^2 + 28*z^4 - 91*a^2*z^4 + 96*a^4*z^4 - 22*a^6*z^4 + 23*z^6 - 
   82*a^2*z^6 + 61*a^4*z^6 - 8*a^6*z^6 + 8*z^8 - 40*a^2*z^8 + 18*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 47274] -> -4*a^2 + 11*a^4 - 6*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 12*a^2*z^2 + 30*a^4*z^2 - 11*a^6*z^2 - 9*z^4 + (7*z^4)/a^2 - 
   15*a^2*z^4 + 30*a^4*z^4 - 6*a^6*z^4 - 12*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 
   13*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 47275] -> -3 + a^(-2) - a^2 + 10*a^4 - 
   6*a^6 - 14*z^2 + (6*z^2)/a^2 - a^2*z^2 + 27*a^4*z^2 - 11*a^6*z^2 - 
   22*z^4 + (11*z^4)/a^2 - 6*a^2*z^4 + 29*a^4*z^4 - 6*a^6*z^4 - 18*z^6 + 
   (6*z^6)/a^2 - 11*a^2*z^6 + 13*a^4*z^6 - a^6*z^6 - 7*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 47276] -> 
  -5 + a^(-2) + 6*a^2 + 2*a^4 - 3*a^6 - 12*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   12*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 + 6*a^2*z^4 + 
   8*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47277] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (7*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 47278] -> 
  2 - 7*a^2 + 8*a^4 + a^6 - 3*a^8 + 9*z^2 - 25*a^2*z^2 + 19*a^4*z^2 + 
   11*a^6*z^2 - 7*a^8*z^2 + 12*z^4 - 31*a^2*z^4 + 9*a^4*z^4 + 19*a^6*z^4 - 
   5*a^8*z^4 + 6*z^6 - 20*a^2*z^6 - 5*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47279] -> 1 - 4*a^2 + 6*a^4 - 2*a^8 - z^2 + 
   (2*z^2)/a^2 - 7*a^2*z^2 + 10*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47280] -> -2 + a^(-2) - a^2 + 5*a^4 - 2*a^8 - 6*z^2 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 12*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (4*z^4)/a^2 - 10*a^2*z^4 + 7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47281] -> -3 + a^(-2) + 2*a^2 + 3*a^4 - a^6 - a^8 - 
   5*z^2 + z^2/a^4 + z^2/a^2 + a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - a^8*z^2 - 
   5*z^4 + z^4/a^4 - 3*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 47282] -> 
  2 - 10*a^2 + 17*a^4 - 8*a^6 + 9*z^2 - 39*a^2*z^2 + 57*a^4*z^2 - 
   20*a^6*z^2 + 20*z^4 - 67*a^2*z^4 + 76*a^4*z^4 - 18*a^6*z^4 + 18*z^6 - 
   63*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 47283] -> -3*a^2 + 9*a^4 - 5*a^6 - 2*z^2 + z^2/a^2 - 
   7*a^2*z^2 + 23*a^4*z^2 - 9*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 10*a^2*z^4 + 
   24*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 11*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47284] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 10*z^2 + 
   (7*z^2)/a^4 - (10*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + 
   (9*z^4)/a^4 - (19*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47285] -> 
  2/a^4 - 3/a^2 + 3*a^2 - a^4 + (2*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47286] -> 
  -2/a^10 + 2/a^8 + 4/a^6 - 7/a^4 + 4/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + 
   (11*z^2)/a^6 - (22*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 + 
   (5*z^4)/a^6 - (27*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (4*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47287] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 10*z^2 - 
   (4*z^2)/a^2 - 3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 13*z^4 - (5*z^4)/a^2 - 
   13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47288] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^4 - 
   3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47289] -> 
  -a^6 + 11*a^8 - 13*a^10 + 4*a^12 - 7*a^6*z^2 + 43*a^8*z^2 - 37*a^10*z^2 + 
   8*a^12*z^2 - 4*a^4*z^4 - 7*a^6*z^4 + 59*a^8*z^4 - 39*a^10*z^4 + 
   5*a^12*z^4 - 4*a^4*z^6 + 2*a^6*z^6 + 40*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 47290] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   2*a^4*z^2 + 9*a^6*z^2 + 9*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   3*a^4*z^4 + 14*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 11*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 47291] -> 3*a^6 - 3*a^10 + a^12 - 
   5*a^4*z^2 + 14*a^6*z^2 + 6*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 21*a^6*z^4 + 12*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 47292] -> 2 - 2*a^2 + a^4 + 3*z^2 - 
   z^2/a^4 - 3*a^2*z^2 + 4*z^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47293] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 + 7*z^2 - 32*a^2*z^2 + 48*a^4*z^2 - 17*a^6*z^2 + 
   17*z^4 - 58*a^2*z^4 + 68*a^4*z^4 - 17*a^6*z^4 + 17*z^6 - 58*a^2*z^6 + 
   48*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 47294] -> 
  -2*a^2 + 7*a^4 - 4*a^6 - 7*a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 - 4*z^4 + 
   (4*z^4)/a^2 - 9*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 
   9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 47295] -> 
  2 - 6*a^2 + 7*a^4 - 2*a^8 + 6*z^2 - 19*a^2*z^2 + 18*a^4*z^2 + 4*a^6*z^2 - 
   4*a^8*z^2 + 8*z^4 - 23*a^2*z^4 + 12*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 15*a^2*z^6 - a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47296] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47297] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   5*z^2 + (7*z^2)/a^6 - (20*z^2)/a^4 + (18*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (4*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47298] -> 
  -2 + a^(-2) + 3*a^4 + a^6 - 2*a^8 - 10*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 
   13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47299] -> -3 + a^(-2) + 3*a^2 + a^4 - a^8 - 5*z^2 + 
   z^2/a^4 + 6*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 47300] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 47301] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47302] -> 2 - 2/a^10 + 3/a^8 - a^(-6) + 2/a^4 - 
   3/a^2 + 5*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 + 4*z^4 - z^4/a^10 + (8*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 - 
   (10*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47303] -> 
  2 - a^(-12) + a^(-10) + a^(-6) - 2/a^2 + 3*z^2 - z^2/a^12 + (4*z^2)/a^10 + 
   z^2/a^8 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^10 - z^4/a^8 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 47304] -> 
  1 + 2/a^8 - 6/a^6 + 6/a^4 - 2/a^2 + 2*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (10*z^2)/a^4 - (6*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47305] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 
   8*a^2*z^2 + 15*a^4*z^2 + 11*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   6*a^2*z^4 + 20*a^4*z^4 + 12*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   a^2*z^6 + 13*a^4*z^6 + 8*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 47306] -> -2 + 2/a^4 - 2/a^2 + 5*a^2 - 
   3*a^4 + a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 6*z^4 - z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47307] -> 
  a^4 + 4*a^8 - 6*a^10 + 2*a^12 + 3*a^4*z^2 - 2*a^6*z^2 + 14*a^8*z^2 - 
   13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + a^6*z^4 + 14*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 47308] -> 2 - 6*a^2 + 6*a^4 + 2*a^6 - 3*a^8 + 6*z^2 - 
   17*a^2*z^2 + 11*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 20*a^2*z^4 + 
   3*a^4*z^4 + 19*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 6*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 47309] -> 
  1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + z^2/a^2 - 6*a^2*z^2 + 8*a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47310] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 
   14*a^8*z^2 - 5*a^10*z^2 + 2*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + 15*a^8*z^4 - 
   4*a^10*z^4 + 3*a^2*z^6 - 5*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47311] -> -1 + a^(-2) + a^2 - 7*z^2 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 10*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 8*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47312] -> 1 + a^2 - 2*a^4 + a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 3*z^4 - z^4/a^2 + 
   9*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 47313] -> -a^2 + 11*a^4 - 15*a^6 + 6*a^8 - 
   6*a^2*z^2 + 42*a^4*z^2 - 63*a^6*z^2 + 25*a^8*z^2 - 11*a^2*z^4 + 
   64*a^4*z^4 - 106*a^6*z^4 + 35*a^8*z^4 - 6*a^2*z^6 + 47*a^4*z^6 - 
   89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 47314] -> 2*a^2 + 3*a^4 - 8*a^6 + 4*a^8 - z^2 + 
   7*a^2*z^2 + 4*a^4*z^2 - 26*a^6*z^2 + 13*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   4*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 47315] -> 
  1 + a^2 + a^4 - 5*a^6 + 3*a^8 + z^2 + 4*a^2*z^2 - 6*a^4*z^2 - 9*a^6*z^2 + 
   6*a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 12*a^4*z^4 - 9*a^6*z^4 + 
   4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47316] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 4/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^12 + 
   (9*z^2)/a^10 - (13*z^2)/a^8 + (18*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^12 + (10*z^4)/a^10 - (22*z^4)/a^8 + (24*z^4)/a^6 - (22*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (16*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 47317] -> -a^4 + 2*a^6 + 8*a^8 - 12*a^10 + 4*a^12 - 
   6*a^4*z^2 + 5*a^6*z^2 + 38*a^8*z^2 - 38*a^10*z^2 + 8*a^12*z^2 - 
   11*a^4*z^4 + 10*a^6*z^4 + 59*a^8*z^4 - 42*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 12*a^6*z^6 + 43*a^8*z^6 - 19*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 15*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 47318] -> -a^4 + 5*a^6 - 5*a^10 + 2*a^12 - a^2*z^2 - 
   5*a^4*z^2 + 18*a^6*z^2 + 5*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 - 3*a^4*z^4 + 23*a^6*z^4 + 10*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 14*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 47319] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 3*a^2*z^2 + 3*a^4*z^2 + 11*a^6*z^2 - 
   2*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 6*a^4*z^4 + 
   11*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 47320] -> 1 + 6*z^2 - 18*a^2*z^2 + 
   18*a^4*z^2 - 6*a^6*z^2 + 11*z^4 - 45*a^2*z^4 + 51*a^4*z^4 - 17*a^6*z^4 + 
   6*z^6 - 40*a^2*z^6 + 57*a^4*z^6 - 17*a^6*z^6 + z^8 - 15*a^2*z^8 + 
   32*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 47321] -> 3 - 5*a^2 + 4*a^4 - a^6 + 2*z^2 + z^2/a^2 - 
   14*a^2*z^2 + 15*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 
   21*a^4*z^4 - 8*a^6*z^4 - 8*z^6 + z^6/a^2 + 2*a^2*z^6 + 15*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 47322] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + z^4/a^4 - 
   z^4/a^2 + 4*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47323] -> 6 + a^(-6) - a^(-4) - 2/a^2 - 5*a^2 + 
   2*a^4 + 10*z^2 - z^2/a^4 - (4*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 8*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 47324] -> 2 - 3*a^2 - 3*a^4 + 11*a^6 - 6*a^8 + 9*z^2 - 
   13*a^2*z^2 - 13*a^4*z^2 + 34*a^6*z^2 - 11*a^8*z^2 + 12*z^4 - 22*a^2*z^4 - 
   22*a^4*z^4 + 34*a^6*z^4 - 6*a^8*z^4 + 6*z^6 - 18*a^2*z^6 - 18*a^4*z^6 + 
   14*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 47325] -> 
  2 - 4*a^2 + a^4 + 6*a^6 - 4*a^8 + 3*z^2 + (2*z^2)/a^2 - 12*a^2*z^2 + 
   3*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - z^4 + (3*z^4)/a^2 - 15*a^2*z^4 - 
   a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47326] -> 
  -1 + a^(-2) - a^2 + 6*a^6 - 4*a^8 - 3*z^2 + (4*z^2)/a^2 - 7*a^2*z^2 + 
   2*a^4*z^2 + 13*a^6*z^2 - 4*a^8*z^2 - 5*z^4 + (4*z^4)/a^2 - 13*a^2*z^4 - 
   a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47327] -> 
  -1 + a^(-2) - 2*a^2 + 4*a^4 + a^6 - 2*a^8 - 4*z^2 + z^2/a^4 + (2*z^2)/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^4 - 
   6*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 47328] -> a^2 + a^6 - a^8 - 5*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 47329] -> a^2 + a^4 - a^6 - 4*z^2 + 
   5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 4*a^2*z^4 + 20*a^4*z^4 - 8*a^6*z^4 + 
   7*z^6 - 19*a^2*z^6 + 25*a^4*z^6 - 5*a^6*z^6 + 5*z^8 - 18*a^2*z^8 + 
   12*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 47330] -> 1 + 6*z^2 - (2*z^2)/a^4 - 4*a^2*z^2 + 
   21*z^4 + z^4/a^4 - (8*z^4)/a^2 - 8*a^2*z^4 + 25*z^6 + (7*z^6)/a^4 - 
   (20*z^6)/a^2 - 5*a^2*z^6 + 12*z^8 + (5*z^8)/a^4 - (18*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 47331] -> 4*a^6 - 3*a^8 + 4*a^6*z^2 + 8*a^8*z^2 - 
   6*a^10*z^2 + 6*a^4*z^4 - 17*a^6*z^4 + 33*a^8*z^4 - 11*a^10*z^4 + 
   11*a^4*z^6 - 33*a^6*z^6 + 34*a^8*z^6 - 6*a^10*z^6 + 6*a^4*z^8 - 
   24*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 47332] -> -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - 
   12*a^2*z^2 + 23*a^4*z^2 - 9*a^6*z^2 + 9*z^4 - 32*a^2*z^4 + 42*a^4*z^4 - 
   12*a^6*z^4 + 12*z^6 - 39*a^2*z^6 + 36*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 47333] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   6*z^2 + (4*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 + 4*z^4 - 19*a^2*z^4 + 
   8*a^4*z^4 + 19*z^6 - (7*z^6)/a^2 - 25*a^2*z^6 + 5*a^4*z^6 + 18*z^8 - 
   (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 47334] -> 2*a^4 - a^6 + a^8 - a^10 - a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 + a^4*z^4 - 
   4*a^6*z^4 + 13*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 4*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 47335] -> 
  13 - 6/a^2 - 6*a^2 + 46*z^2 + (6*z^2)/a^4 - (29*z^2)/a^2 - 17*a^2*z^2 + 
   68*z^4 + (17*z^4)/a^4 - (57*z^4)/a^2 - 17*a^2*z^4 + 48*z^6 + 
   (17*z^6)/a^4 - (58*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 47336] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 10*z^2 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (20*z^2)/a^2 + 12*z^4 - (5*z^4)/a^6 + 
   (19*z^4)/a^4 - (39*z^4)/a^2 + 6*z^6 - (11*z^6)/a^6 + (33*z^6)/a^4 - 
   (35*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (24*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 47337] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 + 2*z^2 + 
   (6*z^2)/a^4 - (15*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (4*z^4)/a^6 + 
   (11*z^4)/a^4 - (14*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47338] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 14*z^2 + (4*z^2)/a^4 - (14*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 10*z^4 + (8*z^4)/a^4 - (20*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   2*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47339] -> -2 + a^(-2) + 3*a^2 - a^4 + (2*z^2)/a^2 - 
   7*a^2*z^2 + 5*a^4*z^2 + 19*z^4 - (5*z^4)/a^2 - 32*a^2*z^4 + 11*a^4*z^4 + 
   33*z^6 - (11*z^6)/a^2 - 34*a^2*z^6 + 6*a^4*z^6 + 24*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 47340] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 5*z^2 - 
   12*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 11*z^4 - (4*z^4)/a^2 - 13*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 - 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47341] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + 
   z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - 
   z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47342] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 4*z^4 + (2*z^4)/a^2 - 
   11*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   11*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47343] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + 
   z^4/a^8 - z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47344] -> 
  -4 - a^(-4) + 2/a^2 + 8*a^2 - 4*a^4 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 9*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 26*a^2*z^4 - 
   9*a^4*z^4 + 3*z^6 + z^6/a^4 - (7*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47345] -> -7 + a^(-6) - 4/a^4 + 8/a^2 + 3*a^2 - 
   20*z^2 - (6*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47346] -> 
  a^(-6) - 2/a^4 + 2/a^2 - a^2 + a^4 - 2*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47347] -> 2 - 3*a^2 - 2*a^4 + 9*a^6 - 5*a^8 + 6*z^2 - 
   8*a^2*z^2 - 11*a^4*z^2 + 26*a^6*z^2 - 8*a^8*z^2 + 8*z^4 - 14*a^2*z^4 - 
   18*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 47348] -> 
  2 - 4*a^2 + 2*a^4 + 4*a^6 - 3*a^8 + 3*z^2 + z^2/a^2 - 9*a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 11*a^2*z^4 - a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47349] -> 
  -1 + a^(-2) + a^2 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47350] -> 
  a^2 + a^4 - a^6 - 3*z^2 + 6*a^2*z^2 - a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 
   5*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 2*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 47351] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 
   z^2 - a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 8*a^2*z^4 - 
   2*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 4*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 47352] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 - 
   6*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 
   12*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 47353] -> 
  2 - 2*a^2 + a^4 - z^2 - z^2/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 
   2*z^4 - (4*z^4)/a^4 + (9*z^4)/a^2 - 12*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 47354] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47355] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   z^2/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (10*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (15*z^6)/a^4 - (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47356] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 34*z^2 - 
   z^2/a^4 - (13*z^2)/a^2 - 16*a^2*z^2 + 70*z^4 + (4*z^4)/a^4 - 
   (32*z^4)/a^2 - 25*a^2*z^4 + 67*z^6 + (4*z^6)/a^4 - (31*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 47357] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 5*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + 
   (7*z^2)/a^2 - 7*z^4 + z^4/a^8 - (8*z^4)/a^6 + (11*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (9*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47358] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 + 3*z^2 - z^2/a^4 - (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 11*z^4 + 
   (2*z^4)/a^4 - (9*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 47359] -> 
  -3 - 4/a^4 + 8/a^2 - 3*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (7*z^2)/a^2 + 
   7*z^4 - (8*z^4)/a^6 + (26*z^4)/a^4 - (19*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + 
   (30*z^6)/a^4 - (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 47360] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47361] -> 1 - 2/a^4 + 3/a^2 - a^2 - z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 47362] -> 
  a^2 + a^4 - 2*a^8 + a^10 - 2*z^2 + 6*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 - 
   8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 - 
   9*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 47363] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47364] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 13*z^2 - (5*z^2)/a^2 - 8*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 18*z^4 - (6*z^4)/a^2 - 7*a^2*z^4 - 7*a^4*z^4 + 
   3*a^6*z^4 + 12*z^6 - (4*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 47365] -> 
  2 - a^(-2) + 4*a^2 - 7*a^4 + 3*a^6 + 12*z^2 - (4*z^2)/a^2 + a^2*z^2 - 
   20*a^4*z^2 + 10*a^6*z^2 + 19*z^4 - (4*z^4)/a^2 - 9*a^2*z^4 - 27*a^4*z^4 + 
   12*a^6*z^4 + 11*z^6 - z^6/a^2 - 12*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47366] -> 4 - a^(-2) - a^2 - 3*a^4 + 2*a^6 + 7*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47367] -> -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 - 
   (5*z^2)/a^10 + (14*z^2)/a^8 - z^2/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   (4*z^4)/a^10 + (18*z^4)/a^8 - (7*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47368] -> 2 - a^(-12) + a^(-10) + a^(-8) - a^(-6) + 
   a^(-4) - 2/a^2 + 3*z^2 - z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47369] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + (4*z^4)/a^4 - 
   (16*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 8*z^6 + z^6/a^4 - (10*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 47370] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + z^2/a^6 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47371] -> 
  2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - z^2 + 4*a^2*z^2 + 6*a^4*z^2 - 20*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 3*a^4*z^4 - 26*a^6*z^4 + 9*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 47372] -> 
  1 + a^2 - 3*a^6 + 2*a^8 + 3*a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 
   z^4 - z^4/a^2 + 4*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47373] -> -12 + 3/a^6 - 11/a^4 + 17/a^2 + 4*a^2 - 
   30*z^2 + (4*z^2)/a^6 - (21*z^2)/a^4 + (37*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 - 
   z^4/a^6 - (12*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47374] -> 
  -a^4 + 4*a^6 - 2*a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 + 12*a^8*z^2 - 
   7*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 2*a^6*z^4 + 20*a^8*z^4 - 5*a^10*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 8*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47375] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 + 
   (4*z^2)/a^4 - (11*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47376] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (9*z^2)/a^2 - 4*z^4 + (4*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + (13*z^4)/a^2 - 
   z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47377] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   z^2/a^8 - (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47378] -> 2 - a^(-12) + 2/a^10 - a^(-8) + a^(-4) - 
   2/a^2 + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 47379] -> 
  a^(-6) - a^(-4) + 2*a^2 - 2*a^4 + a^6 - z^2 - z^2/a^6 - z^2/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + z^6 + z^6/a^4 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 47380] -> 2 - 3*a^2 + a^4 + 4*a^8 - 3*a^10 + 7*z^2 - 
   10*a^2*z^2 - a^6*z^2 + 13*a^8*z^2 - 4*a^10*z^2 + 5*z^4 - 12*a^2*z^4 - 
   6*a^4*z^4 - 6*a^6*z^4 + 10*a^8*z^4 - a^10*z^4 + z^6 - 6*a^2*z^6 - 
   5*a^4*z^6 - 5*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47381] -> 2 - 3*a^2 + a^4 + a^6 + 2*a^8 - 2*a^10 + 
   z^2 + (2*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 
   a^10*z^2 - 2*z^4 + z^4/a^2 - 6*a^2*z^4 - 5*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 47382] -> 
  -1 + a^(-2) + a^6 + 2*a^8 - 2*a^10 - 2*z^2 + (3*z^2)/a^2 - 3*a^2*z^2 - 
   a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 - 3*z^4 + z^4/a^2 - 6*a^2*z^4 - 
   5*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 47383] -> -1 + a^(-2) + 2*a^6 - a^10 - 2*z^2 + 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 3*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, Knot[15, Alternating, 47384] -> 
  2*a^2 - a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^2 + 
   6*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 7*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47385] -> 1 + 2*z^2 - z^2/a^4 - a^4*z^2 + 4*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 47386] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 + (8*z^2)/a^2 + 10*a^2*z^2 - 18*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 7*a^2*z^6 + 
   a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 47387] -> -3 + 2/a^2 + a^2 + 2*a^4 - a^6 - 6*z^2 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   8*a^2*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47388] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 9*z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47389] -> 
  a^(-6) - a^(-2) + a^4 - 5*z^2 + z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 - 6*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 47390] -> 
  -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 12*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 5*z^4 - z^4/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47391] -> -7 + 3/a^2 + 7*a^2 - 2*a^4 - 18*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 23*a^2*z^4 - 8*a^4*z^4 + z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 47392] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47393] -> 
  -2/a^10 + 5/a^8 - 2/a^6 - 4/a^4 + 4/a^2 - (5*z^2)/a^10 + (14*z^2)/a^8 + 
   z^2/a^6 - (22*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (3*z^4)/a^6 - (32*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (8*z^6)/a^6 - (21*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47394] -> -a^(-12) + 2/a^10 - 4/a^4 + 4/a^2 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 - (6*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^12 + (6*z^4)/a^10 + (2*z^4)/a^8 - (13*z^4)/a^6 - 
   (10*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 47395] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   18*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47396] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 - z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 47397] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 + z^4/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47398] -> a^2 + a^6 - a^8 + z^2 - 4*a^4*z^2 + 
   10*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 5*a^2*z^4 - 9*a^4*z^4 + 16*a^6*z^4 - 
   4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47399] -> -5 + a^(-2) + 9*a^2 - 4*a^4 - 13*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + 
   (8*z^4)/a^4 - (12*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47400] -> 
  a^(-6) - a^(-4) + a^2 - 9*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 
   4*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + (9*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47401] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 - z^2/a^4 + z^2/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 47402] -> 
  -1 + a^(-2) + a^2 - 4*a^4 + 8*a^6 - 4*a^8 - 9*z^2 + (4*z^2)/a^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 29*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 47403] -> -1 + a^(-2) + 3*a^6 - 2*a^8 - 
   2*z^2 + z^2/a^4 + a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 47404] -> 
  -3 + 8*a^2 - 4*a^4 - 10*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 22*a^2*z^2 - 
   8*a^4*z^2 - 12*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47405] -> 4*a^6 - 3*a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 
   20*a^6*z^2 - 4*a^8*z^2 - 2*a^10*z^2 + 8*a^2*z^4 - 22*a^4*z^4 + 
   19*a^6*z^4 + 5*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 47406] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 6/a^8 + 6/a^6 - (3*z^2)/a^14 + 
   (13*z^2)/a^12 - (8*z^2)/a^10 - (15*z^2)/a^8 + (16*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (15*z^4)/a^12 - (14*z^4)/a^10 - (22*z^4)/a^8 + (12*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (17*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 47407] -> 
  -a^(-14) + 3/a^12 - 2/a^10 - 2/a^8 + a^(-6) + 2/a^4 - z^2/a^14 + 
   (6*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 + 
   (4*z^4)/a^12 - (2*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (5*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 47408] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   20*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 
   23*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 47409] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 7*z^2 + (11*z^2)/a^6 - 
   (29*z^2)/a^4 + (26*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (22*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47410] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + z^4/a^8 - (4*z^4)/a^6 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 47411] -> 
  -2/a^10 + 3/a^8 + 2/a^6 - 6/a^4 + 4/a^2 - (7*z^2)/a^10 + (19*z^2)/a^8 - 
   z^2/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (25*z^4)/a^8 - 
   (11*z^4)/a^6 - (29*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (13*z^6)/a^6 - (20*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47412] -> 2 - 2/a^10 + 3/a^8 + a^(-6) - 2/a^4 - 
   a^(-2) + 5*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 - 
   (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - 
   (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - 
   (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47413] -> -a^(-12) + a^(-10) + a^(-8) + a^(-6) - 
   5/a^4 + 4/a^2 - (3*z^2)/a^12 + (7*z^2)/a^10 + (5*z^2)/a^8 - (7*z^2)/a^6 - 
   (9*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (8*z^4)/a^10 + z^4/a^8 - 
   (15*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 47414] -> 2 - a^(-12) + a^(-10) + a^(-8) - a^(-4) - 
   a^(-2) + 3*z^2 - z^2/a^12 + (3*z^2)/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (6*z^2)/a^4 - z^2/a^2 + z^4 + (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 47415] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - z^4 + (4*z^4)/a^4 - 
   (8*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 47416] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + 2*z^2 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47417] -> 
  -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 2*a^2*z^2 + 2*a^4*z^2 + 
   17*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 4*a^4*z^4 + 
   21*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 47418] -> 3*a^6 - 3*a^10 + a^12 - 2*a^4*z^2 + 
   11*a^6*z^2 + 3*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   14*a^6*z^4 + 5*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   10*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 47419] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47420] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 22*z^2 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 27*a^2*z^2 - 8*a^4*z^2 - 25*z^4 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 + 27*a^2*z^4 - 5*a^4*z^4 - 16*z^6 + 
   (4*z^6)/a^4 - (8*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47421] -> 
  -2 + a^(-2) + 3*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 10*z^2 + (4*z^2)/a^2 + 
   15*a^2*z^2 - 21*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 29*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 10*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 16*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 6*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 47422] -> -2 + a^(-2) + 2*a^2 - a^4 + 
   3*a^6 - 2*a^8 - 2*z^2 + z^2/a^4 + 2*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - z^4 + z^4/a^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 47423] -> a^(-12) - 2/a^10 - 6/a^8 + 12/a^6 - 4/a^4 + 
   (5*z^2)/a^12 - (23*z^2)/a^10 + (13*z^2)/a^8 + (26*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^4)/a^12 - (31*z^4)/a^10 + (38*z^4)/a^8 + 
   (26*z^4)/a^6 - (13*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + (33*z^6)/a^8 + 
   (16*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 47424] -> 
  -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 + 
   (3*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47425] -> 
  -a^(-12) + 2/a^10 - a^(-8) + 2/a^6 - 5/a^4 + 4/a^2 - (3*z^2)/a^12 + 
   (12*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - (17*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^12 + (12*z^4)/a^10 - (24*z^4)/a^8 + (21*z^4)/a^6 - (21*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + (15*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 47426] -> 2 - a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (5*z^2)/a^10 - (3*z^2)/a^8 - 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (6*z^4)/a^8 - z^4/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 47427] -> 
  4 + a^(-6) - a^(-4) - a^(-2) - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^6 - 
   (3*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 - 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 47428] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47429] -> -1 + a^(-2) + a^4 - a^6 + 3*a^8 - 2*a^10 - 
   5*z^2 + (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 7*z^4 + z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 
   2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47430] -> -1 + a^(-2) + a^4 + a^8 - a^10 - 2*z^2 + 
   z^2/a^4 + a^2*z^2 - a^4*z^2 + 3*a^8*z^2 - 2*z^4 - (2*z^4)/a^2 - 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 47431] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 + 
   7*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 47432] -> -2 + 4*a^2 + a^4 - 2*a^6 - 
   13*z^2 + (4*z^2)/a^2 + 12*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 - 20*z^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   2*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 47433] -> 
  -1 + a^(-4) - a^(-2) + 4*a^2 - 3*a^4 + a^6 + z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47434] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 18*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47435] -> 2 + a^(-4) - 2/a^2 - z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47436] -> 2 - 2*a^2 + a^4 + 3*z^2 - 
   5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 - 4*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47437] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 4*z^2 - 
   z^2/a^2 + 19*a^2*z^2 - 18*a^4*z^2 + 5*a^6*z^2 + 3*z^4 - (4*z^4)/a^2 + 
   18*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 47438] -> 3*a^2 - 3*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - z^4/a^4 - 
   z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47439] -> 2 - 2/a^10 + 5/a^8 - 3/a^6 - a^(-2) + 
   5*z^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (7*z^2)/a^6 + z^2/a^4 - 
   (8*z^2)/a^2 + 4*z^4 - z^4/a^10 + (8*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 - 
   (10*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47440] -> 
  3 - a^(-2) - a^2 + 4*z^2 - z^2/a^4 - 2*a^2*z^2 + 7*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 7*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 47441] -> 
  3*a^4 - 2*a^6 - 4*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 17*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 
   12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 47442] -> 
  2 - a^(-12) + 2/a^10 - a^(-6) - a^(-2) + 3*z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (2*z^4)/a^10 - z^4/a^8 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 47443] -> 
  -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^4 + 4*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47444] -> 
  a^2 + a^6 - a^8 - 3*z^2 + (2*z^2)/a^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   3*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 47445] -> -1 + a^(-2) + a^2 - a^4 + 3*a^8 - 
   2*a^10 - 5*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 7*z^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 3*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 47446] -> 
  -1 + a^(-2) + a^2 - a^4 + a^6 + a^8 - a^10 - 2*z^2 + z^2/a^4 + a^2*z^2 - 
   2*a^4*z^2 + 3*a^8*z^2 - 2*z^4 - (2*z^4)/a^2 - 3*a^4*z^4 - 3*a^6*z^4 + 
   z^6 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 47447] -> 
  3*a^4 - 2*a^6 + 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 
   3*a^6*z^2 + z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47448] -> 
  2*a^4 - a^8 - 3*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 6*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 47449] -> 2*a^4 - a^6 + a^8 - a^10 + 
   2*z^2 - 5*a^2*z^2 + 7*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 
   a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47450] -> 1 - a^2 + 2*a^4 - a^6 - 4*z^2 + 3*a^2*z^2 + 
   7*a^4*z^2 - 5*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 14*a^4*z^4 - 
   7*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 47451] -> -3/a^8 + 4/a^6 - z^2/a^10 + (6*z^2)/a^6 + 
   z^2/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47452] -> 
  -3 - 4/a^4 + 8/a^2 - 10*z^2 - (6*z^2)/a^4 + (18*z^2)/a^2 + 2*a^2*z^2 - 
   14*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47453] -> 
  2*a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   8*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 2*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 47454] -> 
  a^4 + a^6 - a^10 + a^2*z^2 - a^4*z^2 + 5*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47455] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 9*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (5*z^4)/a^2 + 
   11*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 47456] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 
   2*z^2 + 7*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 
   13*a^2*z^4 - 6*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 47457] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   6*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47458] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 14*z^2 - 
   (6*z^2)/a^2 - 3*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 + 22*z^4 - (9*z^4)/a^2 - 
   2*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 47459] -> 5 - a^(-2) - 4*a^2 + a^6 + 
   10*z^2 - (2*z^2)/a^4 - 10*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47460] -> 3 + a^(-6) - 3/a^2 + 2*z^2 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 + a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (9*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 - (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47461] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   7*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (9*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47462] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 - 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (2*z^4)/a^4 - 
   (8*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 47463] -> 
  2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 3*z^2 + (3*z^2)/a^6 - (5*z^2)/a^2 - 
   z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - 3*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (5*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47464] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47465] -> 
  4 - a^(-4) - 2*a^2 + 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 - 6*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 
   9*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47466] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 28*z^2 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + z^4/a^4 + 
   (9*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47467] -> 
  -3/a^4 + 5/a^2 - a^2 + 5*z^2 - (6*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 
   13*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 47468] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 13*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 11*a^2*z^4 + 8*a^4*z^4 - 5*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 47469] -> 
  -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 26*z^2 - z^2/a^6 - (5*z^2)/a^4 + 
   (20*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - (5*z^4)/a^6 + (2*z^4)/a^4 + 
   (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47470] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 7*z^2 + 22*a^2*z^2 - 22*a^4*z^2 + 
   7*a^6*z^2 - (4*z^4)/a^2 + 23*a^2*z^4 - 25*a^4*z^4 + 5*a^6*z^4 + 7*z^6 - 
   (4*z^6)/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 47471] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   z^2/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (11*z^4)/a^8 - 
   (4*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 47472] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47473] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 11*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47474] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - z^4/a^2 + 6*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47475] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 12*z^2 - 
   (5*z^2)/a^2 - a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 14*z^4 - (5*z^4)/a^2 + 
   a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 47476] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   5*z^2 - z^2/a^4 - 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 + 
   z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47477] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + (11*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47478] -> 
  -2/a^10 + a^(-8) + 5/a^6 - 6/a^4 + 3/a^2 - (7*z^2)/a^10 + (12*z^2)/a^8 + 
   (10*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (19*z^4)/a^8 + 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 47479] -> 1 - 2/a^10 + 2/a^8 + 2/a^6 - 2/a^4 + 2*z^2 - 
   (3*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (8*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47480] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 + 4*z^2 - 17*a^4*z^2 + 19*a^6*z^2 - 
   5*a^8*z^2 + 8*z^4 - 11*a^2*z^4 - 21*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 13*a^2*z^6 - 15*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47481] -> -2*a^6 + 15*a^8 - 18*a^10 + 6*a^12 - 
   15*a^6*z^2 + 69*a^8*z^2 - 65*a^10*z^2 + 17*a^12*z^2 - 29*a^6*z^4 + 
   111*a^8*z^4 - 86*a^10*z^4 + 17*a^12*z^4 - 23*a^6*z^6 + 90*a^8*z^6 - 
   55*a^10*z^6 + 7*a^12*z^6 - 8*a^6*z^8 + 41*a^8*z^8 - 17*a^10*z^8 + 
   a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, 
 Knot[15, Alternating, 47482] -> a^6 + 7*a^8 - 11*a^10 + 4*a^12 - 4*a^4*z^2 + 
   10*a^6*z^2 + 19*a^8*z^2 - 28*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 
   17*a^6*z^4 + 22*a^8*z^4 - 27*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   14*a^6*z^6 + 15*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   6*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 47483] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 - 4*a^4*z^2 + 
   16*a^6*z^2 + a^8*z^2 - 14*a^10*z^2 + 5*a^12*z^2 - 8*a^4*z^4 + 21*a^6*z^4 + 
   7*a^8*z^4 - 18*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 
   9*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 47484] -> 
  -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + 
   (6*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (7*z^4)/a^10 + (15*z^4)/a^8 + 
   (5*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + 
   (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 47485] -> 1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 
   2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47486] -> 
  -7 + 3/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 22*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   24*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 27*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 + 28*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 15*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47487] -> 2*a^2 - a^4 + z^2 + a^2*z^2 - 
   2*a^4*z^2 + a^8*z^2 + a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 
   2*z^6 + 3*a^2*z^6 - a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 47488] -> 15 - 7/a^2 - 7*a^2 + 51*z^2 + (4*z^2)/a^4 - 
   (28*z^2)/a^2 - 20*a^2*z^2 + 72*z^4 + (16*z^4)/a^4 - (54*z^4)/a^2 - 
   18*a^2*z^4 + 49*z^6 + (17*z^6)/a^4 - (57*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + 
   (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 47489] -> 7 - 4/a^2 - 2*a^4 + 17*z^2 + 
   (3*z^2)/a^4 - (14*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 12*z^4 + 
   (8*z^4)/a^4 - (19*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47490] -> 
  -a^4 + 7*a^6 - 6*a^8 + a^10 + a^2*z^2 - 7*a^4*z^2 + 21*a^6*z^2 - 
   8*a^8*z^2 - a^10*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 18*a^6*z^4 + 3*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47491] -> a^4 + 2*a^6 - 2*a^8 - a^2*z^2 + 3*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47492] -> 
  -2 + 5*a^2 - a^4 - a^6 - 8*z^2 + z^2/a^2 + 14*a^2*z^2 - a^4*z^2 - 
   2*a^6*z^2 - 12*z^4 + (4*z^4)/a^2 + 13*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 + 2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 47493] -> 
  4 - 3/a^4 + 3/a^2 - 3*a^2 + 11*z^2 + z^2/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 
   7*a^2*z^2 + 18*z^4 + (6*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - (5*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 47494] -> 2 - 2/a^4 + 2/a^2 - a^4 + 8*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47495] -> -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^4 + 
   4*a^2*z^2 - a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47496] -> -a^(-4) + 2/a^2 - 2*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (10*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47497] -> -5 + 3/a^2 + 3*a^2 - 11*z^2 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47498] -> 
  4 - a^(-4) - 2*a^2 + 16*z^2 - (4*z^2)/a^4 - 9*a^2*z^2 + 25*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 47499] -> 
  -1 + 4*a^2 - 2*a^4 - 2*z^2 - 3*a^2*z^2 + 16*a^4*z^2 - 9*a^6*z^2 + 3*z^4 - 
   25*a^2*z^4 + 54*a^4*z^4 - 21*a^6*z^4 + 4*z^6 - 29*a^2*z^6 + 61*a^4*z^6 - 
   18*a^6*z^6 + z^8 - 13*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 47500] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 - 3*a^2*z^2 + 13*a^4*z^2 - 7*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 22*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 47501] -> 
  2*a^2 - a^4 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 47502] -> 
  -1 - a^(-6) + 3/a^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 4*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (7*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 47503] -> 
  -1 + 4*a^2 - 2*a^4 + 7*z^2 - (4*z^2)/a^2 - a^4*z^2 + 28*z^4 - (8*z^4)/a^2 - 
   23*a^2*z^4 + 8*a^4*z^4 + 30*z^6 - (5*z^6)/a^2 - 37*a^2*z^6 + 12*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 47504] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47505] -> -5 + 3/a^2 + 3*a^2 + a^4 - 2*a^6 + a^8 - 
   11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - 7*z^4 - z^4/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 47506] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 22*z^2 + 
   (6*z^2)/a^2 + 23*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 + 23*a^2*z^4 - 
   16*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47507] -> -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 28*z^2 - 
   (3*z^2)/a^4 + (17*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + z^4/a^4 + 
   (9*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47508] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 47509] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 15*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47510] -> a^2 + a^6 - a^8 - z^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 3*z^4 - a^2*z^4 - 10*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47511] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - 2*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47512] -> 
  -1 + a^(-2) + a^2 - z^2 + 4*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - 
   (4*z^4)/a^2 + 8*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 47513] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   5*a^4*z^2 - 12*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47514] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (17*z^2)/a^4 + (24*z^2)/a^2 - 5*z^4 + (7*z^4)/a^8 - 
   (9*z^4)/a^6 - (20*z^4)/a^4 + (25*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (12*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47515] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47516] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 
   z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^2 - 
   6*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47517] -> a^2 + a^4 - a^6 + z^2 - a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 4*a^6*z^4 + 2*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 2*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 47518] -> 
  2*a^4 - a^6 + a^8 - a^10 + a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 6*a^8*z^2 - 
   4*a^10*z^2 + 4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47519] -> a^2 + a^8 - a^10 + a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 + 3*a^8*z^2 - 2*a^10*z^2 + z^4 - 3*a^4*z^4 + 3*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47520] -> 
  3*a^4 - 2*a^6 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 
   11*z^4 + (5*z^4)/a^2 + a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 47521] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 14*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (7*z^4)/a^6 - (15*z^4)/a^4 + z^4/a^2 - 
   5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - (6*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 47522] -> 3 - a^(-4) - a^4 + 8*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47523] -> -3 - 4/a^4 + 8/a^2 - 7*z^2 + z^2/a^8 - 
   (10*z^2)/a^4 + (20*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47524] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47525] -> -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - z^4 + 3*a^2*z^4 - 2*a^4*z^4 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 47526] -> 19 + 2/a^4 - 12/a^2 - 8*a^2 + 
   71*z^2 + (15*z^2)/a^4 - (56*z^2)/a^2 - 24*a^2*z^2 + 97*z^4 + 
   (29*z^4)/a^4 - (95*z^4)/a^2 - 22*a^2*z^4 + 61*z^6 + (23*z^6)/a^4 - 
   (83*z^6)/a^2 - 8*a^2*z^6 + 18*z^8 + (8*z^8)/a^4 - (40*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 47527] -> 11 + 2/a^4 - 9/a^2 - a^2 - 2*a^4 + 21*z^2 + 
   (9*z^2)/a^4 - (27*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 10*z^4 + 
   (12*z^4)/a^4 - (31*z^4)/a^2 + 19*a^2*z^4 - 5*a^4*z^4 - 5*z^6 + 
   (6*z^6)/a^4 - (20*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47528] -> 
  3 + 2/a^4 - 6/a^2 + 6*a^2 - 4*a^4 + 3*z^2 + (7*z^2)/a^4 - (17*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 3*z^4 + (9*z^4)/a^4 - (21*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47529] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   3*z^2 + 11*a^2*z^2 - 17*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 47530] -> -1 + 6*a^2 - 7*a^4 + 4*a^6 - 
   a^8 - 3*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47531] -> 
  -a^(-14) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + (6*z^2)/a^12 + 
   (5*z^2)/a^10 - (9*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 47532] -> 
  -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   (2*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 47533] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (5*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47534] -> -a^2 + 5*a^4 - 3*a^6 - 3*z^2 + z^2/a^2 - 
   a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 - a^2*z^4 + 
   14*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47535] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47536] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 4*z^2 - 
   8*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 47537] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + 
   a^6 - 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 - 7*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 47538] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 9*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 13*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47539] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 3*a^2*z^2 - 
   9*a^4*z^2 + 14*a^6*z^2 - 5*a^8*z^2 + 4*z^4 - 3*a^2*z^4 - 12*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 47540] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 15*z^2 - 
   (6*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   z^6/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 47541] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - 
   2*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 
   2*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 47542] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 5*z^2 - (3*z^2)/a^6 + 
   (10*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 47543] -> -3 + 2/a^4 - 3/a^2 + 9*a^2 - 4*a^4 - 
   12*z^2 + (5*z^2)/a^4 - (8*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + 
   (8*z^4)/a^4 - (13*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47544] -> 
  -1 + 2/a^4 - 3/a^2 + 4*a^2 - a^6 - 6*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 
   7*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47545] -> 3 + 2/a^4 - 6/a^2 + 6*a^2 - 4*a^4 - z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 7*z^4 + 
   (4*z^4)/a^4 - (8*z^4)/a^2 + 10*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47546] -> -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 + (4*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47547] -> -4 + a^(-8) - 6/a^6 + 4/a^4 + 6/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (16*z^2)/a^4 + (15*z^2)/a^2 - 
   2*a^2*z^2 - 3*z^4 + z^4/a^8 - (16*z^4)/a^6 + (22*z^4)/a^4 + (19*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + (14*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + 
   z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 47548] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 12*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 13*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47549] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 - a^4*z^2 + 
   9*a^6*z^2 + 6*a^8*z^2 - 15*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 + 
   10*a^6*z^4 + 12*a^8*z^4 - 18*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   9*a^6*z^6 + 10*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 47550] -> -2 - 4/a^6 + 5/a^4 + 2/a^2 - 3*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (4*z^2)/a^6 + (12*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - z^4 - (4*z^4)/a^8 + z^4/a^6 + (12*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (3*z^6)/a^6 + (6*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 47551] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47552] -> 2*a^4 - 2*a^10 + a^12 + 2*a^4*z^2 + 
   4*a^6*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 6*a^6*z^4 - 5*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 47553] -> 
  2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 + 2*a^6*z^2 + 21*a^8*z^2 - 25*a^10*z^2 + 
   7*a^12*z^2 - 4*a^4*z^4 + a^6*z^4 + 34*a^8*z^4 - 30*a^10*z^4 + 5*a^12*z^4 - 
   4*a^4*z^6 + 4*a^6*z^6 + 28*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 47554] -> 2*a^4 - 2*a^6 + 5*a^8 - 6*a^10 + 2*a^12 + 
   4*a^4*z^2 - 4*a^6*z^2 + 13*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 12*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 47555] -> 
  -a^(-14) + 5/a^12 - 5/a^10 - 4/a^8 + 6/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (16*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (16*z^4)/a^12 - (21*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^6)/a^12 - (14*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 47556] -> 
  a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 3/a^2 - z^2/a^10 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (5*z^4)/a^8 + 
   (12*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + 
   (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 47557] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 4*z^2 + 
   z^2/a^2 + a^2*z^2 + 15*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 + 20*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 8*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 47558] -> -a^(-14) + 4/a^12 - 3/a^10 - 
   3/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 - 
   (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   (4*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 47559] -> 1 + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47560] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47561] -> -1 + a^2 + 4*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 + 
   a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - a^2*z^4 + 
   16*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 47562] -> 4 - a^(-6) + 4/a^4 - 5/a^2 - 2*a^2 + a^4 + 
   6*z^2 - z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47563] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 + 7*a^6*z^2 + 6*a^8*z^2 - 11*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 11*a^6*z^4 + 7*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 47564] -> 2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 + 
   a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + a^4*z^4 + 4*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 4*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 47565] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - z^2/a^10 + (7*z^2)/a^6 - 
   (6*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^10 - z^4/a^8 + (10*z^4)/a^6 - 
   (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47566] -> 1 - 2/a^10 + 3/a^8 - a^(-6) + a^(-4) - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47567] -> 
  4 + 2/a^4 - 4/a^2 - 2*a^2 + a^4 + 5*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 - z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 - 
   3*a^2*z^4 + 2*z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 47568] -> -2*a^2 + 5*a^4 + 2*a^6 - 6*a^8 + 2*a^10 - 
   7*a^2*z^2 + 15*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   5*a^2*z^4 + 18*a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   a^2*z^6 + 12*a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 47569] -> -a^2 + 4*a^4 - 3*a^8 + a^10 - 
   z^2 - a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 2*a^2*z^4 + 7*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + z^6 + 
   3*a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 47570] -> 
  a^2 + 2*a^8 - 3*a^10 + a^12 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 4*a^8*z^2 - 
   4*a^10*z^2 + a^12*z^2 - z^4 - a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 47571] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47572] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 - 7*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47573] -> 2*a^4 - a^6 + a^8 - a^10 + 3*a^4*z^2 + 
   a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47574] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 2/a^8 - 2/a^6 + 4/a^4 - z^2/a^14 + 
   (7*z^2)/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 - (6*z^4)/a^6 + 
   z^4/a^2 - (3*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 47575] -> 2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 - 
   (8*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (6*z^4)/a^8 - (7*z^4)/a^6 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 47576] -> 
  2 - 5*a^2 + 5*a^4 + a^6 - 2*a^8 + 4*z^2 + z^2/a^2 - 13*a^2*z^2 + 
   8*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 14*a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47577] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 - 
   3*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 3*z^4 + (2*z^4)/a^2 - 
   10*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   10*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47578] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47579] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   z^2 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 + z^4/a^2 - 5*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   4*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 47580] -> 
  -a^(-14) + 3/a^12 - a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 - z^2/a^14 + 
   (7*z^2)/a^12 - (3*z^2)/a^10 - (10*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^12 - (5*z^4)/a^10 - (13*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 47581] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 
   2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47582] -> 
  2 - 4*a^2 + 3*a^4 + 2*a^6 - 2*a^8 + 2*z^2 + z^2/a^2 - 8*a^2*z^2 + 
   4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 
   a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47583] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47584] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 47585] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + 
   a^2 + a^4 - 14*z^2 + z^2/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 10*z^4 - z^4/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 47586] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - 2*z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 
   10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 47587] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 10*z^2 - z^2/a^4 - z^2/a^2 - 9*a^2*z^2 - 
   3*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - z^4/a^4 + (3*z^4)/a^2 - 11*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47588] -> 
  1 + 2*a^4 - 4*a^6 + 2*a^8 + 3*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + z^4 - 
   z^4/a^2 + 2*a^2*z^4 - a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47589] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 19*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47590] -> 
  -a^(-4) + 2/a^2 + 2*z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + z^4 - 
   z^4/a^10 + (2*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47591] -> -a^2 + 2*a^4 + 3*a^6 - 3*a^8 - a^2*z^2 + 
   3*a^4*z^2 + 7*a^6*z^2 - 2*a^10*z^2 + z^4 - a^4*z^4 + 5*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47592] -> 
  2 - 2/a^2 + 4*a^2 - 3*a^4 + 5*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47593] -> 3 - a^(-4) - a^4 + 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47594] -> -a^(-14) + 3/a^12 - 2/a^10 - a^(-6) + 
   2/a^2 + z^2 + (4*z^2)/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 - (4*z^4)/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2, Knot[15, Alternating, 47595] -> 
  -1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 2/a^2 + a^2 - 3*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^8 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[15, Alternating, 47596] -> 
  2 - 3*a^2 + a^4 + 2*a^6 - a^10 + 2*z^2 + z^2/a^2 - 5*a^2*z^2 - a^4*z^2 + 
   4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 5*a^2*z^4 - 4*a^4*z^4 + 
   2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 47597] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 - a^12*z^2 + z^4 + a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 + 3*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 47598] -> 3*a^4 - 2*a^6 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47599] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 17*z^2 + (3*z^2)/a^4 - z^2/a^2 + 
   28*a^2*z^2 - 9*a^4*z^2 - 20*z^4 + (8*z^4)/a^4 - (10*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 15*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 47600] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 
   3*z^2 + z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 47601] -> 
  2 - a^(-10) + 2/a^8 - 2/a^6 + 3/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47602] -> 
  -1 - a^(-2) + 7*a^2 - 4*a^4 - 3*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47603] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 47604] -> 
  3*a^6 - a^8 - a^10 + 4*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 + 3*a^8*z^2 - 
   3*a^10*z^2 + 6*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 + 8*a^8*z^4 - 3*a^10*z^4 + 
   4*a^2*z^6 - 12*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47605] -> 2*a^2 - a^4 - 2*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (9*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47606] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47607] -> 
  -1 + a^(-4) + a^2 - a^6 + a^8 - 2*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   2*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   6*a^4*z^4 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 47608] -> 
  1 - a^(-10) + 4/a^8 - 5/a^6 + 2/a^4 + 2*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (7*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47609] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47610] -> 
  -4 - 2/a^8 + 6/a^6 - 11/a^4 + 12/a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (22*z^2)/a^4 + (29*z^2)/a^2 - 10*z^4 + z^4/a^8 + z^4/a^6 - 
   (15*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^8 - (5*z^6)/a^6 - z^6/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47611] -> -9 - a^(-6) + 6/a^2 + 7*a^2 - 
   2*a^4 - 17*z^2 - z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 7*z^6 + z^6/a^6 - (9*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 47612] -> 
  5 - a^(-8) + a^(-6) + a^(-4) - 3/a^2 - 2*a^2 + 10*z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + z^4/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - 
   a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 47613] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^4 - 5*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6, 
 Knot[15, Alternating, 47614] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - (6*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 47615] -> 2 - 2/a^10 + 3/a^8 - 2/a^2 + 4*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + 
   3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47616] -> 
  4 + a^(-8) - 2/a^6 + 3/a^4 - 4/a^2 - 2*a^2 + a^4 + 4*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 - 
   z^4/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47617] -> 
  6*a^6 - 7*a^8 + 2*a^10 - a^2*z^2 - a^4*z^2 + 18*a^6*z^2 - 15*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 5*a^4*z^4 + 21*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 47618] -> 1 - 3*a^2 + 5*a^4 - 3*a^8 + a^10 + z^2 - 
   5*a^2*z^2 + 8*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - 
   2*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47619] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^4*z^2 + 13*a^6*z^2 - 2*a^8*z^2 - 
   6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 18*a^6*z^4 - 7*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 13*a^6*z^6 + 3*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 47620] -> 
  -11 + 3/a^2 + 15*a^2 - 6*a^4 - 28*z^2 + (2*z^2)/a^4 + (5*z^2)/a^2 + 
   33*a^2*z^2 - 9*a^4*z^2 - 29*z^4 + (5*z^4)/a^4 - (2*z^4)/a^2 + 29*a^2*z^4 - 
   5*a^4*z^4 - 17*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47621] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 
   (2*z^4)/a^6 - (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47622] -> -a^(-14) + 3/a^12 + a^(-10) - 10/a^8 + 
   8/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - (4*z^2)/a^10 - (22*z^2)/a^8 + 
   (17*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - 
   (25*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 47623] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 47624] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47625] -> 
  -3 + a^(-2) + 6*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + z^2/a^4 + 
   12*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 47626] -> 
  -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 5*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (7*z^4)/a^6 - (7*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47627] -> 
  -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) - z^2/a^14 - (2*z^2)/a^12 + 
   (12*z^2)/a^10 - (14*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (2*z^4)/a^12 + (12*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 47628] -> 
  -1 + a^(-2) - 2*a^2 + 6*a^4 - 3*a^6 - 2*z^2 + (2*z^2)/a^4 - z^2/a^2 - 
   6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 - 
   7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47629] -> -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + 
   z^2/a^6 - z^2/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 47630] -> -a^(-14) + 3/a^12 - 2/a^10 - 
   3/a^6 + 4/a^4 - z^2/a^14 + (7*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (5*z^4)/a^10 - 
   (9*z^4)/a^8 - (7*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 47631] -> 
  2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 47632] -> 
  -1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + a^(-2) + a^2 - 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 47633] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 9*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 + 
   a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 47634] -> -1 + 6*a^2 - 8*a^4 + 6*a^6 - 
   2*a^8 - 3*z^2 + 13*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47635] -> 
  1 - a^4 + 2*a^6 - a^8 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 47636] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 + 3*z^2 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + z^4/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47637] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 
   4*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + (2*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^6*z^4 - 4*z^6 - z^6/a^2 - 5*a^2*z^6 - 2*a^4*z^6, 
 Knot[15, Alternating, 47638] -> 2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 47639] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - z^2/a^12 + (3*z^2)/a^10 + 
   (6*z^2)/a^8 - (10*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 47640] -> 
  2 - 2/a^10 + 4/a^8 - a^(-6) - a^(-4) - a^(-2) + 4*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47641] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^4 + 5*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47642] -> 
  a^2 + a^4 - a^6 - z^2 + z^2/a^6 - (2*z^2)/a^2 + 3*a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 47643] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + (2*z^2)/a^2 - a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47644] -> 
  -1 - a^(-10) + 2/a^8 - a^(-6) + a^(-2) + a^2 - 2*z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 47645] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47646] -> -1 - a^(-4) + 2/a^2 + a^2 + a^4 - a^6 + 
   z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - z^4/a^4 - z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 47647] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 2*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 9*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47648] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*z^2 - 3*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 
   4*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47649] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 4*z^2 - (5*z^2)/a^6 + (14*z^2)/a^4 - 
   (10*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (7*z^4)/a^6 + (19*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (13*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47650] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 
   2*a^6 + 10*z^2 - (5*z^2)/a^2 + 3*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 + 
   15*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 47651] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 7*z^2 - (2*z^2)/a^4 + z^2/a^2 - 
   6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47652] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 - z^2/a^4 - a^4*z^2 - 7*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47653] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^10 - (2*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47654] -> 2 - a^(-8) + a^(-6) - a^2 + 3*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47655] -> 4 - a^(-4) - 2*a^2 + 10*z^2 - z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47656] -> 
  -a^(-8) + 2/a^4 + z^2 - z^2/a^10 + (4*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47657] -> -5 - a^(-6) + 3/a^4 + 5*a^2 - 
   a^4 - 8*z^2 - z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + z^4/a^6 + (3*z^4)/a^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47658] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 + 2*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - a^6*z^4 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47659] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 
   16*z^2 - z^2/a^4 + (5*z^2)/a^2 + 25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 47660] -> 
  -4 + a^(-6) - 3/a^4 + 6/a^2 - a^2 + 2*a^4 - 7*z^2 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47661] -> 2/a^6 - 5/a^4 + 4/a^2 + 3*z^2 + 
   (4*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47662] -> 1 + 3*z^2 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - z^4/a^4 - z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 47663] -> -4 + a^(-2) + 9*a^2 - 7*a^4 + 
   2*a^6 - 12*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 20*a^2*z^2 - 
   11*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 + 5*a^2*z^6 - 
   2*z^8 - z^8/a^2, Knot[15, Alternating, 47664] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47665] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   8*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   5*z^4 - z^4/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + z^6/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47666] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 3*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + 
   z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47667] -> 3 - 4*a^2 + 4*a^6 - 2*a^8 + 3*z^2 + 
   (2*z^2)/a^2 - 12*a^2*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - z^4 + (3*z^4)/a^2 - 
   15*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   9*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47668] -> 3*a^4 - 4*a^6 + 6*a^8 - 6*a^10 + 2*a^12 - 
   2*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + 11*a^8*z^2 - 11*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + 8*a^8*z^4 - 8*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 47669] -> 
  -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 47670] -> 
  -1 + a^(-2) + 3*a^4 - 3*a^6 + a^8 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + 6*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   5*a^4*z^4 - 3*z^6 - z^6/a^2 - 2*a^2*z^6, Knot[15, Alternating, 47671] -> 
  a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 47672] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + (2*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47673] -> 
  2 - a^(-2) + a^2 - a^4 + 7*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   4*a^4*z^2 + 11*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 47674] -> 2*a^2 - a^4 - z^2 - z^2/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 6*a^2*z^4 + 
   4*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 47675] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47676] -> 
  -1 + a^(-2) + a^2 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 - 
   3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 5*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 + z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 47677] -> -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 
   4*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 3*a^2*z^2 - 3*a^6*z^2 - z^4 + 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 47678] -> -2 + 2/a^4 - 2/a^2 + 5*a^2 - 3*a^4 + a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   z^4/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47679] -> -5 - a^(-6) + 3/a^4 + 5*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   z^4/a^6 + (3*z^4)/a^4 - (8*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47680] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (5*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47681] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - 
   2*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47682] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47683] -> 
  6 + 2/a^4 - 6/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 9*z^2 + (5*z^2)/a^4 - 
   (13*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 3*z^4 + (4*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47684] -> -7 - 2/a^4 + 6/a^2 + 6*a^2 - 2*a^4 - 
   18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (13*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47685] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + z^2 + 4*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 
   2*a^8*z^2 - z^4 + z^4/a^2 + 3*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   4*z^6 + z^6/a^2 + 4*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47686] -> 
  -a^(-14) + 3/a^10 - 3/a^8 + 2/a^4 - (3*z^2)/a^14 + (6*z^2)/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 47687] -> 
  -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (13*z^4)/a^8 - 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 47688] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47689] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 + 10*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (5*z^6)/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47690] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - 
   z^6/a^8 + (7*z^6)/a^6 - (6*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 47691] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 
   10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47692] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   13*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47693] -> 2 - a^(-10) + 3/a^8 - a^(-6) - 2/a^4 + 
   3*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47694] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 47695] -> 
  2 - a^(-10) + 4/a^8 - 5/a^6 + 3/a^4 - 2/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (11*z^2)/a^8 - (11*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 47696] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 
   2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 47697] -> 
  -4 + 2/a^4 - 3/a^2 + 11*a^2 - 5*a^4 - 14*z^2 + (6*z^2)/a^4 - (9*z^2)/a^2 + 
   28*a^2*z^2 - 9*a^4*z^2 - 19*z^4 + (9*z^4)/a^4 - (15*z^4)/a^2 + 
   28*a^2*z^4 - 5*a^4*z^4 - 15*z^6 + (5*z^6)/a^4 - (14*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 47698] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 
   3*z^2 + 4*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 7*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 2*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47699] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   20*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 47700] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 47701] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 + z^4/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47702] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2/a^4 + (2*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47703] -> 1 - a^(-10) + 2/a^8 + 2/a^6 - 6/a^4 + 
   3/a^2 + 2*z^2 - z^2/a^10 + z^2/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47704] -> -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + 
   z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + z^4 - 
   z^4/a^10 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 - z^6/a^10 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47705] -> 2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + z^2/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47706] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 25*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (16*z^2)/a^2 + 16*a^2*z^2 - 3*a^4*z^2 - 27*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (20*z^4)/a^2 + 12*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47707] -> 
  2 - a^(-8) + 2/a^4 - a^(-2) - a^2 + 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47708] -> 
  3 + a^(-6) - a^(-4) - a^(-2) - 2*a^2 + a^4 + 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - 5*a^2*z^2 + 2*a^4*z^2 - z^4/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47709] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47710] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 
   21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47711] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 47712] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47713] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 47714] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 + z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47715] -> 
  -a^(-6) + 2/a^4 - a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47716] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   (7*z^2)/a^14 - z^2/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - 
   (5*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 47717] -> 
  a^(-14) - 5/a^12 + 4/a^10 + a^(-6) - z^2/a^16 - z^2/a^14 - (5*z^2)/a^12 + 
   (11*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + (3*z^4)/a^12 + 
   (13*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 47718] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - z^2 + 2*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 
   7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 47719] -> 1 - 4*a^4 + 8*a^6 - 4*a^8 - 
   2*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 18*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 26*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 10*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47720] -> 
  -2 + a^(-2) + 2*a^2 - a^4 + 3*a^6 - 2*a^8 - 3*z^2 + z^2/a^4 + z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 47721] -> 
  1 - 3*a^4 + 6*a^6 - 3*a^8 - z^2 + z^2/a^2 + 5*a^2*z^2 - 14*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 20*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47722] -> -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47723] -> 
  2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 - 2*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47724] -> 1 - a^4 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 47725] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 17*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47726] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - 7*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 47727] -> -1 + a^(-2) + 2*a^4 - 2*a^6 + 2*a^8 - a^10 - 
   2*z^2 + z^2/a^4 - a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 4*a^4*z^6 - 
   a^2*z^8, Knot[15, Alternating, 47728] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   2*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 47729] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 47730] -> 
  2*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 
   8*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 47731] -> 
  3 - a^(-2) - a^2 + z^2 - z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 - 4*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47732] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - z^2/a^6 + z^2/a^4 - 3*a^2*z^2 + 
   5*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 
   6*a^4*z^4 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 47733] -> 
  a^(-2) - a^4 + a^6 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47734] -> -a^(-6) + 4/a^4 - 3/a^2 + a^4 - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47735] -> 
  -8 - a^(-6) + a^(-4) + 5/a^2 + 4*a^2 - 20*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 47736] -> 
  -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 4*z^2 - z^2/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47737] -> 2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47738] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + z^4 - z^4/a^10 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47739] -> 1 - 2/a^10 + 2/a^8 + a^(-6) - a^(-2) + 
   2*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47740] -> 
  2 - a^(-6) + 3/a^4 - 2/a^2 - 3*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47741] -> 1 + a^(-2) - 2*a^2 + a^6 + 2*z^2 - z^2/a^8 - 
   2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 47742] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 5*z^2 + (2*z^2)/a^8 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47743] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47744] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47745] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2 + 
   7*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 + 
   7*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 47746] -> 
  -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 47747] -> 
  4 - a^(-10) + 2/a^8 + a^(-6) - a^(-4) - 4/a^2 + 4*z^2 - (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47748] -> 
  -4 + a^(-2) + 9*a^2 - 7*a^4 + 2*a^6 - 16*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   25*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 20*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   27*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47749] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 47750] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47751] -> -a^(-14) + a^(-12) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 47752] -> 
  -8 + 4/a^2 + 6*a^2 - a^4 - 22*z^2 + z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47753] -> 3 - a^(-2) - a^2 - z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   11*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47754] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 12*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 47755] -> 2 - a^(-10) + 2/a^8 + a^(-6) - 3/a^4 + 
   3*z^2 - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47756] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^4 - a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 47757] -> 4 + a^(-4) - 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 
   4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 47758] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^8 + z^2/a^6 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47759] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 5*z^4 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47760] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 2*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47761] -> 3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 
   6*z^2 - z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47762] -> 1 - a^(-10) + 3/a^8 - 2/a^6 + a^(-4) - 
   2/a^2 + a^2 - z^2 - z^2/a^10 + (2*z^2)/a^8 - (5*z^2)/a^2 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 47763] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47764] -> -a^(-10) + 3/a^8 - 2/a^6 + a^2 - 
   z^2 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 47765] -> 
  2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 6*a^2*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + z^4 + z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 47766] -> -1 + 2/a^4 - 3/a^2 + 3*a^2 + 
   2*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47767] -> 
  3 - a^(-2) - 2*a^4 + a^6 + z^2 - z^2/a^4 + 6*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 47768] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + z^2 - a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 
   6*a^8*z^2 - 2*a^10*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 47769] -> -a^(-4) + 2/a^2 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 47770] -> -a^(-4) + 2/a^2 - 5*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47771] -> 
  -2 + 2/a^2 + a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47772] -> 4*a^2 - 7*a^4 + 7*a^6 - 4*a^8 + a^10 - 
   5*z^2 + 17*a^2*z^2 - 24*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 26*a^2*z^4 - 30*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 47773] -> 2 - 2*a^2 + 3*a^6 - 3*a^8 + 
   a^10 + 4*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 47774] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 - 4*z^2 - 
   z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47775] -> -3 + 2/a^2 + 3*a^2 - 3*a^4 + 3*a^6 - 
   a^8 - 11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 14*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 13*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47776] -> 
  -1 + 2/a^6 - 3/a^4 + 2/a^2 + a^4 - 4*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (6*z^2)/a^2 - a^4*z^2 - 7*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 47777] -> 2*a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 2*a^10 - 
   a^12 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 + 
   z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 
   4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47778] -> -3 + 2/a^2 + 2*a^2 - 2*a^4 + 4*a^6 - 2*a^8 - 
   11*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (2*z^4)/a^2 + 21*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47779] -> 
  2*a^2 - a^4 + a^6 - 3*a^8 + 3*a^10 - a^12 + z^2 + 2*a^2*z^2 - 6*a^4*z^2 + 
   9*a^6*z^2 - 10*a^8*z^2 + 5*a^10*z^2 + z^4 - 2*a^2*z^4 - 9*a^4*z^4 + 
   12*a^6*z^4 - 9*a^8*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 7*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 47780] -> -1 + a^(-2) + 2*a^2 - 4*a^4 + 
   5*a^6 - 2*a^8 - 7*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 17*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + z^4/a^2 + 21*a^2*z^4 - 22*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47781] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 47782] -> 4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 + 
   5*z^2 + (5*z^2)/a^4 - (14*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 - z^4 + 
   (7*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47783] -> 
  -7 - a^(-6) + 6/a^2 + 3*a^2 - 21*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (8*z^2)/a^2 + 9*a^2*z^2 - 26*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 + z^4/a^2 + 
   10*a^2*z^4 - 17*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47784] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 
   6*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47785] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 
   7*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   9*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47786] -> 2 - a^2 - a^4 + a^6 + 5*z^2 - z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47787] -> 2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 - 
   a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 4*a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 47788] -> 
  2*a^4 - 2*a^6 + 4*a^8 - 4*a^10 + a^12 - 2*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 + 
   7*a^8*z^2 - 7*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 
   7*a^6*z^4 + 5*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 47789] -> 4*a^4 - 4*a^6 + a^8 - 2*z^2 + 
   4*a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47790] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47791] -> 
  2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - 4*a^2*z^2 + 
   15*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 47792] -> 
  3 - a^(-2) - a^2 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   8*z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47793] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47794] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 10*z^2 - (4*z^2)/a^2 - 3*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 - 4*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 
   12*z^6 - (4*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 47795] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 8*z^2 - z^2/a^4 - z^2/a^2 - 7*a^2*z^2 - 
   a^4*z^2 + a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 6*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47796] -> 
  1 - 2/a^10 + a^(-8) + 5/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (10*z^2)/a^6 - (15*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (9*z^4)/a^8 + z^4/a^6 - (19*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47797] -> 1 - a^(-12) + 2/a^8 + a^(-6) - 
   3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 + z^4/a^8 - 
   (9*z^4)/a^6 - (8*z^4)/a^4 - (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 47798] -> 1 - a^(-10) + a^(-8) + a^(-6) - 
   a^(-4) + 2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   2*z^4 - z^4/a^10 + (7*z^4)/a^8 - z^4/a^6 - (11*z^4)/a^4 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47799] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 2*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47800] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47801] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 - 
   2*z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 47802] -> 
  4*a^6 - a^8 - 4*a^10 + 2*a^12 - 2*a^2*z^2 + 2*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 8*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 3*a^4*z^4 + 13*a^6*z^4 - 
   a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 47803] -> -2*a^2 + 3*a^4 + 8*a^6 - 12*a^8 + 4*a^10 - 
   9*a^2*z^2 + 14*a^4*z^2 + 22*a^6*z^2 - 30*a^8*z^2 + 8*a^10*z^2 - 
   12*a^2*z^4 + 22*a^4*z^4 + 27*a^6*z^4 - 30*a^8*z^4 + 5*a^10*z^4 - 
   6*a^2*z^6 + 18*a^4*z^6 + 19*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^2*z^8 + 
   7*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 47804] -> -2*a^2 + 6*a^4 - 5*a^8 + 2*a^10 - 2*z^2 - 
   2*a^2*z^2 + 14*a^4*z^2 + a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   a^2*z^4 + 15*a^4*z^4 + 2*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 47805] -> -5 + 2/a^4 - 3/a^2 + 13*a^2 - 
   6*a^4 - 15*z^2 + (9*z^2)/a^4 - (14*z^2)/a^2 + 34*a^2*z^2 - 11*a^4*z^2 - 
   22*z^4 + (12*z^4)/a^4 - (22*z^4)/a^2 + 34*a^2*z^4 - 6*a^4*z^4 - 18*z^6 + 
   (6*z^6)/a^4 - (18*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47806] -> 
  -2 + 2/a^4 - 3/a^2 + 5*a^2 + a^4 - 2*a^6 - 10*z^2 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 + 10*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 14*z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47807] -> -7 - 2/a^4 + 5/a^2 + 9*a^2 - 4*a^4 - 
   16*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 16*z^4 + 
   z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47808] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47809] -> 
  2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + 
   (6*z^4)/a^4 - (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 47810] -> -2*a^2 + 6*a^4 - a^6 - 3*a^8 + a^10 - 
   2*z^2 - a^2*z^2 + 12*a^4*z^2 - 5*a^8*z^2 + a^10*z^2 - 2*z^4 - z^4/a^2 + 
   4*a^2*z^4 + 10*a^4*z^4 + a^6*z^4 - 3*a^8*z^4 + z^6 + 4*a^2*z^6 + 
   5*a^4*z^6 + 2*a^6*z^6, Knot[15, Alternating, 47811] -> 
  -2*a^2 + 6*a^4 - a^6 - 3*a^8 + a^10 - 3*z^2 - a^2*z^2 + 14*a^4*z^2 - 
   6*a^8*z^2 + a^10*z^2 - 3*z^4 - z^4/a^2 + 5*a^2*z^4 + 14*a^4*z^4 + 
   2*a^6*z^4 - 4*a^8*z^4 + z^6 + 5*a^2*z^6 + 7*a^4*z^6 + 3*a^6*z^6, 
 Knot[15, Alternating, 47812] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 - 
   2*z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 47813] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 6*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 
   25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 47814] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 + 
   z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 47815] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47816] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47817] -> 3*a^6 - a^8 - a^10 + 2*a^2*z^2 - 6*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 + 
   a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 47818] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 + 
   z^2/a^8 - z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47819] -> 
  1 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - 
   (5*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47820] -> a^2 - a^4 + 3*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - 
   a^12*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 47821] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 47822] -> -1 + a^(-2) + 2*a^4 - a^6 - z^2/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47823] -> 
  a^2 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47824] -> a^4 + a^6 - a^10 + z^2 - 2*a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 
   3*a^4*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47825] -> 
  2*a^2 - 2*a^6 + a^8 + 2*z^2 - z^2/a^2 + a^2*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 
   4*z^4 - (2*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47826] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47827] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47828] -> 
  5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 9*z^2 - (3*z^2)/a^2 - 2*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 47829] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   12*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47830] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (4*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - 
   (6*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47831] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 47832] -> 1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 47833] -> 2 - 3/a^2 + 9*a^2 - 9*a^4 + 
   2*a^6 + 10*z^2 - (8*z^2)/a^2 + 18*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 + 
   16*z^4 - z^4/a^4 - (6*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 + 
   11*z^6 - z^6/a^4 + 8*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 47834] -> 3 - 2/a^2 + 3*a^4 - 4*a^6 + a^8 + 6*z^2 - 
   (4*z^2)/a^2 + 3*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 6*z^4 - 
   z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + 3*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 2*a^4*z^6, Knot[15, Alternating, 47835] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 + (5*z^2)/a^6 - 
   (14*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (2*z^4)/a^6 - 
   (16*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47836] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 5*z^2 - z^2/a^8 + (14*z^2)/a^6 - 
   (30*z^2)/a^4 + (23*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (28*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (14*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47837] -> 
  1 + 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47838] -> 
  -13 + 2/a^4 + 20*a^2 - 8*a^4 - 33*z^2 + (7*z^2)/a^4 - (4*z^2)/a^2 + 
   44*a^2*z^2 - 12*a^4*z^2 - 35*z^4 + (9*z^4)/a^4 - (12*z^4)/a^2 + 
   37*a^2*z^4 - 6*a^4*z^4 - 21*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   14*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 47839] -> -2*a^4 + 8*a^6 - 5*a^8 + 
   2*a^2*z^2 - 7*a^4*z^2 + 16*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 
   11*a^4*z^4 + 8*a^6*z^4 + 12*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 3*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 47840] -> -1 - a^(-4) + a^(-2) + 5*a^2 - 3*a^4 + 
   z^2/a^4 - (3*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 - z^4 + (5*z^4)/a^4 - 
   (9*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47841] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47842] -> 
  1 + 2/a^4 - 3/a^2 - 3*a^2 + 8*a^4 - 4*a^6 + (5*z^2)/a^4 - (8*z^2)/a^2 - 
   8*a^2*z^2 + 16*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 
   9*a^2*z^4 + 10*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   5*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47843] -> -9 - a^(-6) + 6/a^2 + 7*a^2 - 2*a^4 - 
   17*z^2 - z^2/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   13*z^4 + z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   7*z^6 + z^6/a^6 - (9*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 47844] -> a^(-10) - 5/a^8 + 5/a^6 - (9*z^2)/a^8 + 
   (20*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 - z^4/a^8 + 
   (21*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47845] -> -4 - 2/a^8 + 6/a^6 - 11/a^4 + 12/a^2 - 
   10*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (22*z^2)/a^4 + (29*z^2)/a^2 - 
   10*z^4 + z^4/a^8 + z^4/a^6 - (15*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (5*z^6)/a^6 - z^6/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47846] -> -9 + 2/a^4 - a^(-2) + 15*a^2 - 6*a^4 - 
   25*z^2 + (5*z^2)/a^4 - (3*z^2)/a^2 + 33*a^2*z^2 - 9*a^4*z^2 - 28*z^4 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 17*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47847] -> 
  a^2 - 5*a^4 + 11*a^6 - 6*a^8 + z^2 + 3*a^2*z^2 - 14*a^4*z^2 + 24*a^6*z^2 - 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 17*a^4*z^4 + 16*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47848] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47849] -> 
  1 + 2/a^4 - 3/a^2 - 2*a^2 + 6*a^4 - 3*a^6 - z^2 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47850] -> -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 + 
   z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (2*z^4)/a^4 + 
   2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47851] -> a^2 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 
   2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47852] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47853] -> 
  -2 - 3/a^8 + 9/a^6 - 12/a^4 + 9/a^2 - 7*z^2 - z^2/a^8 + (13*z^2)/a^6 - 
   (27*z^2)/a^4 + (25*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - (21*z^4)/a^4 + 
   (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47854] -> 2/a^10 - 10/a^8 + 14/a^6 - 
   7/a^4 + 2/a^2 - (12*z^2)/a^8 + (32*z^2)/a^6 - (22*z^2)/a^4 + (7*z^2)/a^2 - 
   (2*z^4)/a^10 + z^4/a^8 + (23*z^4)/a^6 - (27*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 + (3*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47855] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (7*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 47856] -> -3 - 2/a^6 + 2/a^4 + 3/a^2 + a^2 - 10*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47857] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + 3*a^2*z^4 - 6*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 47858] -> -1 + a^(-2) + 3*a^2 - 7*a^4 + 8*a^6 - 
   3*a^8 - 8*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 22*a^4*z^2 + 18*a^6*z^2 - 
   3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 47859] -> 
  1 - 2/a^10 + 2/a^8 + a^(-6) - a^(-2) + 2*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47860] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (2*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 - (21*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (5*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47861] -> -11 - a^(-6) - 2/a^4 + 11/a^2 + 4*a^2 - 
   30*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (17*z^2)/a^2 + 12*a^2*z^2 - 34*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47862] -> 
  -6 - 7/a^4 + 14/a^2 - 15*z^2 + z^2/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (34*z^2)/a^2 - 14*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + (3*z^4)/a^4 + 
   (37*z^4)/a^2 - 6*z^6 + z^6/a^8 - (8*z^6)/a^6 + (9*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47863] -> -2/a^10 + 2/a^8 + 2/a^6 - 
   3/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 + (4*z^4)/a^6 - (22*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (16*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47864] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (7*z^2)/a^10 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (11*z^4)/a^10 - 
   (2*z^4)/a^8 + (24*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (4*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 47865] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + (17*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 - (2*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47866] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 - a^4*z^2 + 
   9*a^6*z^2 + 6*a^8*z^2 - 15*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 + 
   10*a^6*z^4 + 12*a^8*z^4 - 18*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 
   9*a^6*z^6 + 10*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 47867] -> 2*a^4 - 2*a^10 + a^12 + 2*a^4*z^2 + 
   4*a^6*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 + 6*a^6*z^4 - 5*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 47868] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 + a^2*z^2 + 15*a^4*z^2 - 
   7*a^6*z^2 - 6*z^4 + (4*z^4)/a^2 - 5*a^2*z^4 + 20*a^4*z^4 - 5*a^6*z^4 - 
   8*z^6 + (4*z^6)/a^2 - 8*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 47869] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - z^2 + z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 + 
   2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47870] -> 
  5 - a^(-6) + 2/a^4 - 2/a^2 - 5*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - (5*z^2)/a^2 - 11*a^2*z^2 + 5*a^4*z^2 - z^4/a^6 + 
   (7*z^4)/a^4 - (6*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47871] -> 2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 6*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 47872] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   5*z^2 + z^2/a^8 + z^2/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47873] -> -9 - 6/a^4 + 14/a^2 + 2*a^2 - 22*z^2 - 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (28*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - 
   (6*z^4)/a^6 + (7*z^4)/a^4 + (24*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 47874] -> 2 - 5*a^2 + 5*a^4 + a^6 - 2*a^8 + 4*z^2 + 
   z^2/a^2 - 13*a^2*z^2 + 8*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - 14*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47875] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 4*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 7*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47876] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47877] -> 
  -9 + a^(-6) - 8/a^4 + 15/a^2 + 2*a^2 - 22*z^2 + z^2/a^6 - (13*z^2)/a^4 + 
   (32*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (28*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47878] -> 
  2 - a^(-8) + a^(-6) - a^2 + 5*z^2 + z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47879] -> 
  2 - a^(-8) + 5/a^6 - 6/a^4 + a^(-2) - z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 + z^4/a^6 - 
   (14*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47880] -> 
  -2*a^2 + 7*a^4 - 6*a^6 + 4*a^8 - 2*a^10 + z^2 - 5*a^2*z^2 + 14*a^4*z^2 - 
   9*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 8*a^4*z^4 - 
   6*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47881] -> 
  3 - a^(-8) + a^(-6) + a^(-4) - 2/a^2 - a^2 + 6*z^2 + z^2/a^8 + z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47882] -> 3 - a^(-4) - a^4 + 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47883] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^8 - 
   z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47884] -> 1 + 2/a^4 - 3/a^2 + 3*a^6 - 2*a^8 - z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - z^6 - 
   z^6/a^2 - a^2*z^6 - a^4*z^6, Knot[15, Alternating, 47885] -> 
  -2 - 2/a^8 + 8/a^6 - 13/a^4 + 10/a^2 - 7*z^2 + (11*z^2)/a^6 - 
   (29*z^2)/a^4 + (26*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - z^4/a^6 - 
   (22*z^4)/a^4 + (28*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 - 
   (3*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47886] -> 
  -2 - a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 - 6*z^2 - z^2/a^2 + 25*a^2*z^2 - 
   17*a^4*z^2 + 3*a^6*z^2 - 9*z^4 - z^4/a^4 + (3*z^4)/a^2 + 25*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (5*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47887] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 18*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 47888] -> 
  -4 + 4/a^6 - 13/a^4 + 14/a^2 - 8*z^2 + (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (30*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 + (5*z^4)/a^8 - (2*z^4)/a^6 - 
   (30*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 47889] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + 
   (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47890] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47891] -> 
  6 + a^(-6) - a^(-4) - 3/a^2 - 2*a^2 + 11*z^2 + (2*z^2)/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47892] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 2*z^2 - 
   (2*z^2)/a^4 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 47893] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 8*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (20*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (12*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47894] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 + z^2/a^6 - (6*z^2)/a^4 + (18*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   21*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47895] -> 
  1 - 3*z^2 - z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47896] -> 
  5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 9*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 - (10*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47897] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47898] -> -4/a^8 + 6/a^6 - a^(-4) + 
   z^2/a^10 - (9*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (3*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47899] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 
   z^2/a^2 + 9*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 7*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 47900] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 18*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   15*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 + 
   18*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47901] -> -5 + a^(-2) + 13*a^2 - 12*a^4 + 4*a^6 - 
   9*z^2 + 28*a^2*z^2 - 28*a^4*z^2 + 8*a^6*z^2 - z^4 - (4*z^4)/a^2 + 
   27*a^2*z^4 - 27*a^4*z^4 + 5*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 16*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 47902] -> 4 - a^(-2) - a^2 - 3*a^4 + 
   2*a^6 + 8*z^2 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 10*z^4 - (2*z^4)/a^4 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47903] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 2*z^2 + 
   z^2/a^4 - z^2/a^2 + 11*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   (2*z^6)/a^2 + 6*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 47904] -> -a^(-14) + 3/a^12 + a^(-10) - 10/a^8 + 
   8/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - (4*z^2)/a^10 - (22*z^2)/a^8 + 
   (17*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - 
   (25*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (16*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 47905] -> 2 + a^(-10) - 2/a^8 + 4/a^6 - 5/a^4 + 
   a^(-2) - z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (21*z^4)/a^4 + (11*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 47906] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 
   11*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (14*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47907] -> 
  -2 - 2/a^6 + 4/a^4 + a^4 - 6*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 47908] -> 
  1 - 2/a^10 + 2/a^8 + 3/a^6 - 4/a^4 + a^(-2) + 2*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47909] -> 
  a^(-2) - a^4 + 2*a^8 - a^10 - 2*z^2 + z^2/a^4 - a^2*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - (3*z^4)/a^2 - 3*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 3*z^6 + 
   4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 47910] -> 
  -5 + a^(-6) - 3/a^4 + 5/a^2 + 4*a^2 - a^4 - 13*z^2 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + 
   (4*z^4)/a^6 - (14*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 47911] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 47912] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   19*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 47913] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47914] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 2/a^4 - z^2/a^14 + (4*z^2)/a^12 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 47915] -> 2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + 
   4*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   4*a^2*z^4 - 16*a^4*z^4 + 18*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 47916] -> 
  1 - a^8 + 2*a^10 - a^12 + z^2 - a^2*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 
   4*a^10*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47917] -> 
  2 - 2/a^10 + a^(-8) + 5/a^6 - 4/a^4 - a^(-2) + 5*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47918] -> 
  2 - a^(-12) + 2/a^8 + a^(-6) - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + 
   (3*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + 
   (2*z^4)/a^10 + z^4/a^8 - (6*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^8 - (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 47919] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 9*z^2 - 
   z^2/a^2 + 31*a^2*z^2 - 23*a^4*z^2 + 5*a^6*z^2 - z^4 - (4*z^4)/a^2 + 
   31*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 17*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 47920] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + 
   a^6 + 6*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47921] -> -3 + 3/a^6 - 10/a^4 + 11/a^2 - 7*z^2 + 
   z^2/a^8 + (7*z^2)/a^6 - (27*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (16*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47922] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 5*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 47923] -> 2 - 2/a^10 + 2/a^8 + 3/a^6 - 
   3/a^4 - a^(-2) + 4*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47924] -> -a^2 + 4*a^4 - 3*a^8 + a^10 - 2*a^2*z^2 + 
   7*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 - a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47925] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 - a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 + 
   a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 4*a^4*z^4 + 
   7*a^6*z^4 - 3*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 47926] -> -1 + a^(-2) + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + 7*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47927] -> -2/a^10 + 3/a^8 - a^(-6) + 2/a^4 - 2/a^2 + 
   a^2 - z^2 - z^2/a^10 + (5*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^2 + 2*a^2*z^2 - 
   2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 47928] -> 
  -a^(-12) + a^(-10) + a^(-6) - a^(-2) + a^2 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (3*z^4)/a^2, Knot[15, Alternating, 47929] -> 
  4 - 2/a^2 - 2*a^2 + 4*a^4 - 4*a^6 + a^8 + 7*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 47930] -> -3 + 2/a^2 + 2*a^2 - 4*z^2 + z^2/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47931] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + 
   z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47932] -> 2 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + 
   (6*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 47933] -> 7 + a^(-6) - 5/a^2 - 2*a^2 + 12*z^2 + 
   z^2/a^8 - (11*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47934] -> 1 + 2/a^6 - 6/a^4 + 5/a^2 - a^2 + 3*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47935] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 47936] -> 2*a^4 - a^6 + a^8 - a^10 + z^2 - 2*a^2*z^2 + 
   3*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   2*a^4*z^4 + 5*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 47937] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + z^2 - 
   z^2/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   3*z^4 - z^4/a^2 - 2*a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 - 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47938] -> 
  -a^(-12) + a^(-10) + a^(-8) - a^(-6) + a^(-4) - a^(-2) + a^2 - z^2 + 
   (3*z^2)/a^10 - (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 47939] -> -4 - a^(-8) + 8/a^6 - 18/a^4 + 16/a^2 - 
   8*z^2 - z^2/a^8 + (16*z^2)/a^6 - (41*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 + 
   (2*z^4)/a^8 + (8*z^4)/a^6 - (38*z^4)/a^4 + (29*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47940] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 + z^2 - 
   2*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 + 6*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 47941] -> -a^(-12) + 2/a^10 - a^(-8) + 
   a^(-4) - a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 + z^6/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 47942] -> -1 + a^(-6) - a^(-4) + 3*a^2 - a^4 - 3*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 2*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 - z^4/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[15, Alternating, 47943] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47944] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   8*a^2*z^2 - 3*a^4*z^2 + (3*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47945] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 + z^2/a^6 - (5*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47946] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - 2*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   8*z^4 + z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47947] -> 
  3 - a^(-4) + a^(-2) - 4*a^2 + 3*a^4 - a^6 + 7*z^2 - z^2/a^2 - 8*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + 5*z^4 + z^4/a^6 - z^4/a^4 - z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 47948] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 + z^2/a^4 - 
   a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 47949] -> 
  -2/a^10 + 3/a^8 + a^(-6) - 2/a^4 + a^2 - z^2 - z^2/a^10 + (5*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 47950] -> 
  -a^(-12) + a^(-10) + a^(-8) - a^(-4) + a^2 + (2*z^2)/a^10 + (2*z^2)/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - 
   (3*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2, Knot[15, Alternating, 47951] -> 
  2 - a^(-2) - a^2 + 4*a^4 - 4*a^6 + a^8 + 2*z^2 - z^2/a^2 - a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 47952] -> 5 + 2/a^6 - 4/a^4 - 2*a^2 + 
   9*z^2 + z^2/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 - 3*a^2*z^2 + 7*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 47953] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + (2*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47954] -> -a^(-12) + 2/a^10 - a^(-8) + a^(-6) - 
   a^(-4) + a^2 - 2*z^2 + (3*z^2)/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + a^2*z^2 - 2*z^4 - (3*z^4)/a^8 - (2*z^4)/a^4 + z^6/a^6 + 
   z^6/a^4 + z^6/a^2, Knot[15, Alternating, 47955] -> 
  1 + a^(-6) - a^(-4) - a^(-2) + 2*a^2 - a^4 + z^2 + z^2/a^8 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 47956] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^6 - z^2/a^4 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 47957] -> a^2 + a^8 - a^10 + z^2 - a^2*z^2 + a^4*z^2 + 
   a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + a^4*z^4 - a^6*z^4 + 
   5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 47958] -> 
  2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 47959] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 3*z^2 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 47960] -> 
  1 - a^(-4) + 2/a^2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 + z^2/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - z^4/a^4 - 5*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 47961] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 47962] -> a^(-2) - a^2 + a^4 - z^2 + z^2/a^2 - 
   3*a^2*z^2 + a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 47963] -> 
  2 + a^(-4) - 2/a^2 + z^2 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^6 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 47964] -> 
  -2/a^10 + 5/a^8 - 3/a^6 + a^2 - 3*z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[15, Alternating, 47965] -> 
  -a^(-12) + 2/a^10 - a^(-6) + a^2 - z^2 + (2*z^2)/a^10 - (2*z^2)/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2, Knot[15, Alternating, 47966] -> 
  a^(-6) - 2/a^4 + a^(-2) + 2*a^2 - a^4 + z^2/a^8 - (3*z^2)/a^4 + 3*a^2*z^2 - 
   a^4*z^2 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 47967] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 2*z^2 + z^2/a^6 - (2*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 47968] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - z^2 + 
   z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 47969] -> 2*a^2 - a^4 - z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + 3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^8 - 
   (2*z^4)/a^6 + 2*a^2*z^4 - z^6 - z^6/a^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 47970] -> a^2 + a^4 - a^6 + z^2/a^6 - z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 47971] -> a^2 + a^6 - a^8 - z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 - a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - 
   a^4*z^6, Knot[15, Alternating, 47972] -> a^2 + a^8 - a^10 - 2*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 + 3*a^8*z^2 - a^10*z^2 - 2*z^4 + z^4/a^2 - 
   a^6*z^4 + 2*a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 47973] -> -1 + a^(-2) + 2*a^4 - a^6 + z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47974] -> -3/a^8 + 4/a^6 + z^2 - z^2/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 47975] -> 
  -1 - a^(-6) + 3/a^2 - 2*z^2 - z^2/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 47976] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 + z^4 - z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47977] -> 
  3 - 3*a^2 + a^6 + 3*z^2 - z^2/a^6 + z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 47978] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 7/a^6 + z^2/a^12 + (3*z^2)/a^10 - 
   (17*z^2)/a^8 + (18*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 - (7*z^4)/a^8 + (18*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 47979] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 - z^2/a^4 + 4*a^2*z^2 - 
   3*a^4*z^2 + 8*z^4 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 47980] -> -a^(-8) - a^(-6) + 4/a^4 - 
   a^(-2) + z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 47981] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 - z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 47982] -> 4*a^2 - 5*a^4 + 2*a^6 + 2*z^2 - z^2/a^4 + 
   4*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 47983] -> -2/a^6 + 4/a^4 - a^(-2) - a^2 + a^4 - 
   2*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   3*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 47984] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + 4*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 
   4*z^4 + z^4/a^4 - z^4/a^2 + 8*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 47985] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 - 
   z^2/a^6 + z^2/a^4 + a^2*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + 
   a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 47986] -> 
  -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 5*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^8 - z^4/a^6 + (10*z^4)/a^4 - 
   (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 47987] -> 
  a^(-2) - 2*a^2 + 2*a^4 + a^6 - a^8 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 - 4*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 47988] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 + 
   3*z^2 - z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^6 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 47989] -> -4 - a^(-6) + 2/a^4 + 2/a^2 + a^2 + a^4 - 
   8*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   4*z^4 - z^4/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + 
   z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 47990] -> 
  -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 4*z^2 - z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 47991] -> 
  1 - a^(-6) + 3/a^4 - 2/a^2 - a^2 + a^4 - z^2 - z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   z^4/a^6 + (2*z^4)/a^4 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + 
   (2*z^6)/a^2, Knot[15, Alternating, 47992] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 7*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 + (5*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 47993] -> -4/a^6 + 7/a^4 - 2/a^2 - 
   z^2/a^10 - z^2/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 47994] -> -1 + 7*a^2 - 10*a^4 + 7*a^6 - 2*a^8 - 
   2*z^2 + 14*a^2*z^2 - 26*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 + 3*z^4 + 
   5*a^2*z^4 - 27*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 6*a^2*z^6 - 
   16*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 47995] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 4*z^2 - z^2/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + z^4/a^2 - 7*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 47996] -> 
  -8 + a^(-6) - 5/a^4 + 10/a^2 + 3*a^2 - 23*z^2 + (2*z^2)/a^6 - 
   (11*z^2)/a^4 + (24*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (24*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (4*z^6)/a^6 + 
   (6*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 47997] -> 
  -1 + a^(-6) - 3/a^4 + 4/a^2 - a^2 + a^4 - 3*z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (7*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 47998] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 47999] -> 2 - a^(-8) + a^(-6) - a^2 + 6*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (5*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 48000] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   z^2/a^10 + z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48001] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   14*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48002] -> -2/a^10 + a^(-8) + 6/a^6 - 8/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (8*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - 
   (8*z^4)/a^10 + (16*z^4)/a^8 + (11*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48003] -> -a^(-12) + 2/a^10 - 4/a^8 + 8/a^6 - 8/a^4 + 
   4/a^2 - (2*z^2)/a^12 + (9*z^2)/a^10 - (14*z^2)/a^8 + (22*z^2)/a^6 - 
   (20*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (22*z^4)/a^8 + 
   (25*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + 
   (16*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 48004] -> 
  6 + a^(-6) - a^(-4) - 2/a^2 - 5*a^2 + 2*a^4 + 10*z^2 - z^2/a^4 - 
   (4*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 8*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 48005] -> -1 + a^(-2) + 3*a^2 - 8*a^4 + 10*a^6 - 
   4*a^8 - 7*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 26*a^4*z^2 + 23*a^6*z^2 - 
   4*a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 17*a^2*z^4 - 33*a^4*z^4 + 15*a^6*z^4 - 
   a^8*z^4 - 10*z^6 + z^6/a^2 + 14*a^2*z^6 - 17*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   6*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48006] -> 
  a^(-2) - a^2 - a^4 + 4*a^6 - 2*a^8 - 2*z^2 + z^2/a^4 + z^2/a^2 - 
   2*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 48007] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 12*z^2 + (5*z^2)/a^2 + 15*a^2*z^2 - 
   5*a^4*z^2 - 13*z^4 + (4*z^4)/a^4 - (3*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 
   10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48008] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 + z^4/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 48009] -> 2 - a^(-10) + 3/a^8 - 3/a^6 + 2/a^4 - 
   2/a^2 + 3*z^2 - z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48010] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 19*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 24*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 48011] -> 
  -5 - 3/a^6 + 4/a^4 + 3/a^2 + 2*a^2 - 14*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (8*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48012] -> 
  -a^(-10) - 3/a^8 + 11/a^6 - 10/a^4 + 4/a^2 - (3*z^2)/a^10 + (23*z^2)/a^6 - 
   (23*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (7*z^4)/a^8 + (19*z^4)/a^6 - 
   (23*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (11*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 48013] -> 
  1 - 2/a^6 + 3/a^4 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (3*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 48014] -> 
  2 - 2/a^10 + 3/a^8 - 2/a^6 + 4/a^4 - 4/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (9*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 48015] -> 
  -12 + 3/a^6 - 11/a^4 + 17/a^2 + 4*a^2 - 30*z^2 + (4*z^2)/a^6 - 
   (21*z^2)/a^4 + (37*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 - z^4/a^6 - 
   (12*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48016] -> 
  -a^(-4) + 2/a^2 - 7*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 
   12*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48017] -> a^(-10) - 5/a^8 + 9/a^6 - 8/a^4 + 4/a^2 - 
   (5*z^2)/a^8 + (18*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (8*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48018] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 9*z^2 - 
   z^2/a^2 + 31*a^2*z^2 - 23*a^4*z^2 + 5*a^6*z^2 - z^4 - (4*z^4)/a^2 + 
   31*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 17*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 48019] -> 1 - a^(-2) + 4*a^2 - 4*a^4 + 
   a^6 + 6*z^2 - (4*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + z^6/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48020] -> 2 - 2/a^6 + 4/a^4 - 2/a^2 - 2*a^2 + a^4 + 
   2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 48021] -> 
  2 - 2/a^10 + 2/a^8 + 2/a^6 - a^(-4) - 2/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48022] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 - z^2/a^4 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 
   4*z^4 - z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48023] -> 2 - a^(-12) + 2/a^10 - 3/a^8 + 4/a^6 - 
   a^(-4) - 2/a^2 + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + 
   (7*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^2 - (3*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 48024] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - (7*z^4)/a^4 + (13*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48025] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48026] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   21*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (23*z^2)/a^4 + (30*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (28*z^4)/a^4 + 
   (32*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (17*z^6)/a^4 + 
   (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 48027] -> -11 + a^(-6) - 2/a^4 + 5/a^2 + 12*a^2 - 
   4*a^4 - 31*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 22*a^2*z^2 - 
   4*a^4*z^2 - 33*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (26*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (17*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48028] -> -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 7*z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 12*z^4 - (6*z^4)/a^6 + 
   (13*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48029] -> 
  -2/a^10 + 2/a^8 + 4/a^6 - 7/a^4 + 4/a^2 - (6*z^2)/a^10 + (12*z^2)/a^8 + 
   (7*z^2)/a^6 - (18*z^2)/a^4 + (8*z^2)/a^2 - (8*z^4)/a^10 + (18*z^4)/a^8 + 
   (7*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48030] -> 2 - 2/a^10 + 2/a^8 + 3/a^6 - 3/a^4 - 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - (8*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48031] -> -a^(-12) + 3/a^10 - 6/a^8 + 9/a^6 - 8/a^4 + 
   4/a^2 - (3*z^2)/a^12 + (13*z^2)/a^10 - (22*z^2)/a^8 + (28*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (27*z^4)/a^8 + 
   (30*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (17*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 48032] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*a^8 - 2*a^10 - 5*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 - a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 
   7*z^4 + z^4/a^2 + 3*a^2*z^4 - 7*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   3*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 48033] -> a^(-2) - 2*a^4 + 2*a^6 + a^8 - a^10 - z^2 + 
   z^2/a^4 - a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 2*z^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 48034] -> -6 + a^(-6) - 3/a^4 + 5/a^2 + 6*a^2 - 
   2*a^4 - 16*z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + (4*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48035] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^10 - 
   (10*z^2)/a^8 + (19*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - z^4/a^10 - 
   (3*z^4)/a^8 + (19*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (5*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48036] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48037] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + 
   (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 18*z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48038] -> 
  -4 + 4/a^6 - 13/a^4 + 14/a^2 - 8*z^2 + (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (30*z^2)/a^4 + (31*z^2)/a^2 - 5*z^4 + (5*z^4)/a^8 - (2*z^4)/a^6 - 
   (30*z^4)/a^4 + (28*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - 
   (17*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48039] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48040] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2/a^12 + 
   (2*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 + 
   z^4/a^8 + (6*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (5*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48041] -> 2 - a^(-10) + 3/a^8 - 4/a^6 + 4/a^4 - 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (10*z^2)/a^6 + (6*z^2)/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (7*z^4)/a^8 - (9*z^4)/a^6 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48042] -> 2 - 2/a^10 + 3/a^8 - a^(-6) + 2/a^4 - 
   3/a^2 + 3*z^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48043] -> -10 + a^(-6) - a^(-4) + 3/a^2 + 12*a^2 - 
   4*a^4 - 31*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + (20*z^2)/a^2 + 22*a^2*z^2 - 
   4*a^4*z^2 - 33*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (27*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + (17*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48044] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   4*z^2 + z^2/a^8 + (2*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (3*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48045] -> -2/a^10 - a^(-8) + 9/a^6 - 8/a^4 + 3/a^2 - 
   (5*z^2)/a^10 + (5*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (10*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48046] -> 1 - 2/a^10 + a^(-8) + 3/a^6 - a^(-4) - 
   a^(-2) + 2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48047] -> -3 + 3/a^6 - 10/a^4 + 11/a^2 - 7*z^2 + 
   z^2/a^8 + (7*z^2)/a^6 - (27*z^2)/a^4 + (27*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (28*z^4)/a^4 + (26*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (16*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48048] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 5*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 48049] -> a^(-10) - 4/a^8 + 6/a^6 - 5/a^4 + 
   3/a^2 - z^2/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (5*z^4)/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 + 
   (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 48050] -> 1 + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48051] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + z^2/a^12 + (10*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (7*z^4)/a^10 - (18*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48052] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   11*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (4*z^4)/a^6 + (8*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48053] -> 1 - a^(-10) + 2/a^8 + a^(-6) - 4/a^4 + 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   z^2/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48054] -> -5 + 2/a^4 - 2/a^2 + 10*a^2 - 4*a^4 - 
   16*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 19*z^4 + 
   (7*z^4)/a^4 - (11*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48055] -> 
  -3/a^12 + 7/a^10 - 6/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + z^2/a^12 + 
   (12*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (4*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 48056] -> 
  -a^(-14) + 2/a^12 - 3/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 - (3*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - z^4/a^8 - (5*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 48057] -> -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 
   24*z^2 + (2*z^2)/a^6 - (14*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (26*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48058] -> -a^(-14) + a^(-12) + a^(-10) - a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   z^4/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 48059] -> 
  -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48060] -> 
  -2 - a^(-8) + 5/a^6 - 10/a^4 + 9/a^2 - 5*z^2 + (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (23*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (7*z^4)/a^6 - 
   (23*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48061] -> 
  -a^(-10) - 3/a^8 + 11/a^6 - 10/a^4 + 4/a^2 - (3*z^2)/a^10 + (25*z^2)/a^6 - 
   (27*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + (7*z^4)/a^8 + (18*z^4)/a^6 - 
   (31*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 + (2*z^6)/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48062] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 6*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 3*z^4 + z^4/a^6 - (4*z^4)/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48063] -> 5 - a^(-6) + 3/a^4 - 4/a^2 - 3*a^2 + a^4 + 
   8*z^2 - z^2/a^8 + (6*z^2)/a^4 - (9*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48064] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48065] -> -a^(-14) + a^(-12) + 2/a^10 - 5/a^8 + 
   3/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 + z^2/a^10 - (9*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - 
   (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48066] -> -a^(-10) + 3/a^8 - 2/a^6 + a^2 - 2*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 + z^4/a^6 + z^4/a^4 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 48067] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (2*z^4)/a^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + z^6/a^4 + z^6/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 48068] -> -1 - a^(-10) + 3/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 + a^2 - 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 - z^4/a^4 - 
   z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 48069] -> -1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   a^(-2) + a^2 - 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[15, Alternating, 48070] -> 2 + a^(-10) - 5/a^8 + 10/a^6 - 8/a^4 + 
   a^(-2) + 3*z^2 + z^2/a^10 - (9*z^2)/a^8 + (21*z^2)/a^6 - (16*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - z^4/a^10 - (6*z^4)/a^8 + (19*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48071] -> 
  -9 + 2/a^4 - a^(-2) + 15*a^2 - 6*a^4 - 25*z^2 + (5*z^2)/a^4 - (3*z^2)/a^2 + 
   33*a^2*z^2 - 9*a^4*z^2 - 28*z^4 + (6*z^4)/a^4 - (7*z^4)/a^2 + 29*a^2*z^4 - 
   5*a^4*z^4 - 17*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48072] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 48073] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + 6*a^2*z^2 - 12*a^4*z^2 + 
   17*a^6*z^2 - 15*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 5*a^2*z^4 - 
   21*a^4*z^4 + 22*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   14*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 48074] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 - 3*z^2 + 10*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 18*a^2*z^4 - 21*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48075] -> 
  1 - a^(-10) + 4/a^8 - 4/a^6 + a^(-2) + 2*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48076] -> -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 
   2*a^8 - 10*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 
   3*a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48077] -> 
  -2 + a^(-2) + 3*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^4 + 4*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 48078] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 2*a^4 - a^6 - 
   4*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48079] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   2*z^2 - z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^10 + (5*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48080] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 4*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48081] -> -3/a^12 + 7/a^10 - 6/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + z^2/a^12 + (12*z^2)/a^10 - (13*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48082] -> a^(-16) - a^(-14) - 4/a^12 + 3/a^10 + 
   2/a^8 + (2*z^2)/a^16 - (11*z^2)/a^14 + (13*z^2)/a^10 + (7*z^2)/a^8 - 
   z^4/a^16 - (11*z^4)/a^14 + (15*z^4)/a^12 + (20*z^4)/a^10 + (9*z^4)/a^8 - 
   z^6/a^16 - z^6/a^14 + (15*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 48083] -> 1 - a^(-12) + 2/a^10 - 3/a^8 + 4/a^6 - 
   2/a^4 + 2*z^2 - z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - (10*z^4)/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48084] -> 
  -6 - 2/a^6 + a^(-4) + 6/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (16*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + 
   (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48085] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (10*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48086] -> -5 - 3/a^6 + 4/a^4 + 3/a^2 + 2*a^2 - 
   14*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48087] -> -a^(-10) - 3/a^8 + 11/a^6 - 10/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (23*z^2)/a^6 - (23*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + 
   (7*z^4)/a^8 + (19*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48088] -> -7 + a^(-6) - 6/a^4 + 11/a^2 + 2*a^2 - 
   19*z^2 - z^2/a^6 - (6*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48089] -> 2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48090] -> 1 - 2/a^10 + 3/a^8 - a^(-4) + 2*z^2 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48091] -> 
  a^(-10) - 7/a^8 + 13/a^6 - 10/a^4 + 4/a^2 - (8*z^2)/a^8 + (28*z^2)/a^6 - 
   (27*z^2)/a^4 + (10*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + (19*z^4)/a^6 - 
   (31*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + (2*z^6)/a^6 - 
   (18*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48092] -> 
  -a^(-12) + 6/a^10 - 14/a^8 + 12/a^6 - 2/a^4 + (7*z^2)/a^10 - (27*z^2)/a^8 + 
   (32*z^2)/a^6 - (7*z^2)/a^4 + (2*z^4)/a^12 - (2*z^4)/a^10 - (18*z^4)/a^8 + 
   (33*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 - (2*z^6)/a^8 + 
   (18*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 48093] -> 
  -7 - 2/a^6 + 8/a^2 + 2*a^2 - 19*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (21*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + z^4/a^4 + (22*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48094] -> -12 + a^(-6) - 3/a^4 + 8/a^2 + 9*a^2 - 
   2*a^4 - 29*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (19*z^2)/a^2 + 17*a^2*z^2 - 
   3*a^4*z^2 - 28*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 + 
   12*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48095] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   (2*z^2)/a^10 + z^2/a^8 + (12*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 - 
   (5*z^4)/a^10 + (7*z^4)/a^8 + (13*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48096] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + 
   3*z^2 - z^2/a^10 + (6*z^2)/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48097] -> 
  a^(-10) - 6/a^8 + 8/a^6 - 3/a^4 + a^(-2) - (8*z^2)/a^8 + (21*z^2)/a^6 - 
   (12*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (19*z^4)/a^6 - (19*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48098] -> 
  2 - 2/a^10 + 3/a^8 - 3/a^6 + 6/a^4 - 5/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (9*z^2)/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (7*z^4)/a^8 - (5*z^4)/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 48099] -> 3/a^14 - 9/a^12 + 5/a^10 + 
   2/a^8 + z^2/a^16 - (3*z^2)/a^14 - (13*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + (2*z^4)/a^12 + (24*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (9*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 48100] -> 1 - 2/a^10 + a^(-8) + 4/a^6 - 3/a^4 + 
   2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (10*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 - z^4/a^10 + (11*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48101] -> 
  -6 + a^(-6) - 2/a^4 + 4/a^2 + 5*a^2 - a^4 - 17*z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (12*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48102] -> 
  -2 + a^(-2) + 3*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 10*z^2 + (4*z^2)/a^2 + 
   13*a^2*z^2 - 16*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   18*a^2*z^4 - 23*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48103] -> -2 - 2/a^10 + 3/a^8 - a^(-6) + 
   2/a^2 + a^2 - 3*z^2 - z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 + 
   z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 48104] -> 
  2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 3/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (11*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (6*z^4)/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - (7*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 48105] -> 2 - 2/a^10 + 2/a^8 + a^(-6) + 
   a^(-4) - 3/a^2 + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48106] -> -1 - 2/a^10 + 3/a^8 - a^(-6) + a^(-4) + 
   a^2 - 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - z^2/a^6 + z^2/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^8 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 48107] -> 
  -3 + a^(-8) - 5/a^6 + 7/a^4 - a^(-2) + 2*a^2 - 8*z^2 - (7*z^2)/a^6 + 
   (15*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (2*z^4)/a^8 - 
   (2*z^4)/a^6 + (14*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 48108] -> -1 - 2/a^10 + 3/a^8 - a^(-4) + a^(-2) + 
   a^2 - 2*z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - z^2/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 48109] -> 
  -2/a^10 + 3/a^8 + a^(-6) - 4/a^4 + 3/a^2 - (7*z^2)/a^10 + (15*z^2)/a^8 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (20*z^4)/a^8 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + 
   (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48110] -> 1 - 2/a^10 + 3/a^8 + a^(-6) - 3/a^4 + 
   a^(-2) + 2*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - 
   z^2/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48111] -> 
  2 - 2/a^10 + 3/a^8 + a^(-6) - 2/a^4 - a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48112] -> 
  -11 + 3/a^2 + 15*a^2 - 6*a^4 - 28*z^2 + (2*z^2)/a^4 + (5*z^2)/a^2 + 
   33*a^2*z^2 - 9*a^4*z^2 - 29*z^4 + (5*z^4)/a^4 - (2*z^4)/a^2 + 29*a^2*z^4 - 
   5*a^4*z^4 - 17*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48113] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 
   (2*z^4)/a^6 - (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 48114] -> -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 
   16*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 21*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 
   22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48115] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 17*z^2 + z^2/a^4 + (3*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 20*z^4 + (3*z^4)/a^4 + 21*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48116] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (5*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 48117] -> 
  -2/a^10 + a^(-8) + 6/a^6 - 8/a^4 + 4/a^2 - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (15*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (8*z^4)/a^8 + 
   (14*z^4)/a^6 - (22*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (10*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48118] -> 2 - 2/a^10 + a^(-8) + 5/a^6 - 4/a^4 - 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (6*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48119] -> 2 - 2/a^10 + 3/a^8 - a^(-6) + 2/a^4 - 
   3/a^2 + 3*z^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48120] -> -2/a^10 + 3/a^8 - a^(-6) + 2/a^4 - 2/a^2 + 
   a^2 - z^2 - z^2/a^10 + (5*z^2)/a^8 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 48121] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 18*z^2 - z^2/a^6 - (4*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - (3*z^4)/a^6 + (21*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48122] -> 2 - 2/a^10 + 3/a^8 - 2/a^2 + 3*z^2 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48123] -> -2/a^10 + 3/a^8 - a^(-2) + a^2 - z^2 - 
   z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 48124] -> 
  -2/a^10 + 3/a^8 + a^(-6) - 2/a^4 + a^2 - z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 48125] -> 
  -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 5*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - 
   (20*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (22*z^4)/a^4 + (20*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48126] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + z^2/a^8 + (7*z^2)/a^6 - (25*z^2)/a^4 + 
   (22*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 + z^4/a^6 - (26*z^4)/a^4 + 
   (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (14*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48127] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 22*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   27*a^2*z^2 - 8*a^4*z^2 - 25*z^4 + (5*z^4)/a^4 - (3*z^4)/a^2 + 27*a^2*z^4 - 
   5*a^4*z^4 - 16*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 
   6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48128] -> 7 + a^(-6) - 5/a^2 - 2*a^2 + 12*z^2 + 
   z^2/a^8 - (11*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 - (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48129] -> 2 - 2/a^10 + 2/a^8 + a^(-6) + a^(-4) - 
   3/a^2 + 3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 - 
   (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48130] -> -4 - a^(-8) + 8/a^6 - 18/a^4 + 16/a^2 - 
   8*z^2 - z^2/a^8 + (16*z^2)/a^6 - (41*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 + 
   (2*z^4)/a^8 + (8*z^4)/a^6 - (38*z^4)/a^4 + (29*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (6*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48131] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^4 - (6*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48132] -> 
  -2/a^10 + 3/a^8 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - z^2 - z^2/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 48133] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 2/a^4 - 2/a^2 + a^2 - z^2 + 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + z^6/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 48134] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48135] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^6 - (2*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 48136] -> 
  5 + 2/a^6 - 4/a^4 - 2*a^2 + 9*z^2 + z^2/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 - 
   3*a^2*z^2 + 7*z^4 + (2*z^4)/a^8 - (11*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48137] -> 
  -12 + 3/a^6 - 11/a^4 + 17/a^2 + 4*a^2 - 30*z^2 + (4*z^2)/a^6 - 
   (21*z^2)/a^4 + (37*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 - z^4/a^6 - 
   (12*z^4)/a^4 + (34*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (3*z^6)/a^6 + 
   (2*z^6)/a^4 + (18*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48138] -> 
  -4 - a^(-8) + 8/a^6 - 18/a^4 + 16/a^2 - 8*z^2 - z^2/a^8 + (16*z^2)/a^6 - 
   (41*z^2)/a^4 + (34*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 + (8*z^4)/a^6 - 
   (38*z^4)/a^4 + (29*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - 
   (19*z^6)/a^4 + (12*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48139] -> 
  -7/a^8 + 16/a^6 - 12/a^4 + 4/a^2 - (4*z^2)/a^10 - (2*z^2)/a^8 + 
   (34*z^2)/a^6 - (34*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^10 + (11*z^4)/a^8 + 
   (21*z^4)/a^6 - (38*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (22*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (7*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48140] -> 
  -3/a^10 + 3/a^8 + 5/a^6 - 8/a^4 + 4/a^2 - (2*z^2)/a^12 + (11*z^2)/a^8 + 
   (2*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (5*z^4)/a^10 + 
   (7*z^4)/a^8 - (8*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 + (2*z^6)/a^10 - 
   z^6/a^8 - (8*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 48141] -> -3/a^8 + 12/a^6 - 16/a^4 + 
   8/a^2 - (2*z^2)/a^10 - (4*z^2)/a^8 + (28*z^2)/a^6 - (36*z^2)/a^4 + 
   (12*z^2)/a^2 - (5*z^4)/a^10 + (3*z^4)/a^8 + (27*z^4)/a^6 - (32*z^4)/a^4 + 
   (6*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 48142] -> -13 + 2/a^4 + 20*a^2 - 8*a^4 - 
   33*z^2 + (7*z^2)/a^4 - (4*z^2)/a^2 + 44*a^2*z^2 - 12*a^4*z^2 - 35*z^4 + 
   (9*z^4)/a^4 - (12*z^4)/a^2 + 37*a^2*z^4 - 6*a^4*z^4 - 21*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48143] -> 
  4 + a^(-10) - 5/a^8 + 9/a^6 - 4/a^4 - 4/a^2 + 4*z^2 - (7*z^2)/a^8 + 
   (16*z^2)/a^6 - (6*z^2)/a^4 - (10*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48144] -> 
  -1 + a^(-6) - 3/a^2 + 8*a^2 - 4*a^4 - 2*z^2 + (3*z^2)/a^6 - z^2/a^4 - 
   (9*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - 
   (12*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 48145] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + 
   z^2/a^12 + (2*z^2)/a^10 - (15*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (4*z^4)/a^8 + (13*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (16*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 48146] -> -4 + 10*a^2 - 5*a^4 + 3*z^2 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 25*z^4 - (7*z^4)/a^2 - 20*a^2*z^4 + 
   8*a^4*z^4 + 29*z^6 - (5*z^6)/a^2 - 37*a^2*z^6 + 12*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 48147] -> -a^(-2) + 5*a^2 - 3*a^4 + 
   4*z^2 - z^2/a^4 + a^2*z^2 + 5*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   10*a^2*z^4 + 5*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 48148] -> 4 - 2/a^2 - a^4 - 5*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 48149] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48150] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - (16*z^4)/a^10 + (14*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (21*z^6)/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 48151] -> 
  2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48152] -> 2 - 2*a^2 + a^4 - 5*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48153] -> a^(-10) - 5/a^8 + 9/a^6 - 
   8/a^4 + 4/a^2 + 2*z^2 - (6*z^2)/a^8 + (21*z^2)/a^6 - (21*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + (19*z^4)/a^6 - 
   (18*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48154] -> -12 - 2/a^4 + 9/a^2 + 9*a^2 - 5*a^4 + 
   2*a^6 - 34*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 23*a^2*z^2 - 10*a^4*z^2 + 
   a^6*z^2 - 36*z^4 - (6*z^4)/a^4 + (26*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48155] -> 
  -2/a^14 + 9/a^12 - 12/a^10 + 2/a^8 + 4/a^6 - (5*z^2)/a^14 + (25*z^2)/a^12 - 
   (34*z^2)/a^10 + (5*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (30*z^4)/a^12 - (44*z^4)/a^10 + (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (33*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 48156] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 + 
   2*z^2 - (5*z^2)/a^8 + (17*z^2)/a^6 - (18*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (3*z^4)/a^8 + (17*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48157] -> 
  -2 + 3*a^2 + 6*a^4 - 9*a^6 + 3*a^8 - 5*z^2 + 11*a^2*z^2 + 11*a^4*z^2 - 
   23*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 4*a^4*z^4 - 27*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48158] -> -1 + 4/a^8 - 17/a^6 + 20/a^4 - 5/a^2 - 
   6*z^2 + (8*z^2)/a^8 - (42*z^2)/a^6 + (55*z^2)/a^4 - (8*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (41*z^4)/a^6 + (64*z^4)/a^4 + z^4/a^2 - 5*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (41*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48159] -> -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (7*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 + (22*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 48160] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 24*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 25*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48161] -> 
  -8 + 4/a^2 + 9*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 18*z^2 + (4*z^2)/a^2 + 
   23*a^2*z^2 - 26*a^4*z^2 + 18*a^6*z^2 - 5*a^8*z^2 - 13*z^4 + z^4/a^2 + 
   27*a^2*z^4 - 29*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 15*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 48162] -> 6 + 3/a^4 - 9/a^2 + 5*a^2 - 
   4*a^4 + 8*z^2 + (9*z^2)/a^4 - (23*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 - 
   z^4 + (10*z^4)/a^4 - (25*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48163] -> 
  -4 - a^(-8) + 5/a^6 - 8/a^4 + 8/a^2 - a^2 + 2*a^4 - 4*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (19*z^2)/a^4 + (15*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48164] -> 2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^10 - (2*z^2)/a^8 + (13*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (8*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (20*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 48165] -> -1 - a^(-6) + 2/a^4 + a^2 - 
   6*z^2 + z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 48166] -> -5 + 4/a^8 - 12/a^6 + 6/a^4 + 8/a^2 - 
   14*z^2 + (8*z^2)/a^8 - (29*z^2)/a^6 + (16*z^2)/a^4 + (25*z^2)/a^2 - 
   14*z^4 + (5*z^4)/a^8 - (28*z^4)/a^6 + (20*z^4)/a^4 + (32*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (12*z^6)/a^6 + (15*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48167] -> -12 - 2/a^4 + 9/a^2 + 8*a^2 - 3*a^4 + a^6 - 
   32*z^2 - (5*z^2)/a^4 + (21*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   34*z^4 - (4*z^4)/a^4 + (21*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   19*z^6 - z^6/a^4 + (10*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48168] -> 
  -5 + 2/a^2 + 10*a^2 - 11*a^4 + 6*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   25*a^2*z^2 - 25*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   27*a^2*z^4 - 23*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48169] -> 8*a^2 - 16*a^4 + 14*a^6 - 
   7*a^8 + 2*a^10 - 4*z^2 + 20*a^2*z^2 - 38*a^4*z^2 + 29*a^6*z^2 - 
   14*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 20*a^2*z^4 - 37*a^4*z^4 + 27*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 10*a^2*z^6 - 19*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48170] -> -7 + 2/a^2 + 11*a^2 - 8*a^4 + 5*a^6 - 
   2*a^8 - 17*z^2 + (5*z^2)/a^2 + 24*a^2*z^2 - 19*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 23*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48171] -> 
  -4 + 4/a^8 - 14/a^6 + 11/a^4 + 4/a^2 - 12*z^2 + (8*z^2)/a^8 - 
   (37*z^2)/a^6 + (36*z^2)/a^4 + (12*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (39*z^4)/a^6 + (51*z^4)/a^4 + (17*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (38*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48172] -> -6 - 2/a^4 + 5/a^2 + 7*a^2 - 3*a^4 - 
   16*z^2 - z^2/a^4 + (8*z^2)/a^2 + 17*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 
   18*z^4 + (2*z^4)/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 48173] -> -2/a^14 + 11/a^12 - 18/a^10 + 
   8/a^8 + 2/a^6 - (5*z^2)/a^14 + (30*z^2)/a^12 - (49*z^2)/a^10 + 
   (18*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (34*z^4)/a^12 - 
   (58*z^4)/a^10 + (9*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (39*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 48174] -> -a^(-14) + 5/a^12 - 5/a^10 - 4/a^8 + 6/a^6 - 
   (2*z^2)/a^14 + (11*z^2)/a^12 - (10*z^2)/a^10 - (12*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 - 
   (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48175] -> -6*a^2 + 21*a^4 - 20*a^6 + 6*a^8 - 
   17*a^2*z^2 + 67*a^4*z^2 - 70*a^6*z^2 + 23*a^8*z^2 - 17*a^2*z^4 + 
   86*a^4*z^4 - 108*a^6*z^4 + 34*a^8*z^4 - 7*a^2*z^6 + 55*a^4*z^6 - 
   89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 48176] -> -2 + 3*a^2 + 7*a^4 - 11*a^6 + 4*a^8 - 
   5*z^2 + 12*a^2*z^2 + 12*a^4*z^2 - 29*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 + 2*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   7*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 48177] -> 
  -4 + 12*a^2 - 7*a^4 - 2*a^6 + 2*a^8 - 8*z^2 + 28*a^2*z^2 - 17*a^4*z^2 - 
   9*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 27*a^2*z^4 - 21*a^4*z^4 - 16*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 12*a^2*z^6 - 15*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48178] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 + z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48179] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 48180] -> 
  -1 + 4/a^8 - 16/a^6 + 18/a^4 - 4/a^2 - 6*z^2 + (8*z^2)/a^8 - (41*z^2)/a^6 + 
   (52*z^2)/a^4 - (7*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - (41*z^4)/a^6 + 
   (63*z^4)/a^4 + z^4/a^2 - 5*z^6 + z^6/a^8 - (18*z^6)/a^6 + (41*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 48181] -> 
  -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 6*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (8*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (11*z^4)/a^6 + 
   (9*z^4)/a^4 + (21*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 48182] -> -2 + 5*a^2 + 2*a^4 - 7*a^6 + 3*a^8 - 5*z^2 + 
   14*a^2*z^2 + 3*a^4*z^2 - 20*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   a^4*z^4 - 26*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 48183] -> 
  -4 + 14*a^2 - 12*a^4 + 2*a^6 + a^8 - 8*z^2 + 31*a^2*z^2 - 26*a^4*z^2 - 
   3*a^6*z^2 + 6*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 26*a^4*z^4 - 14*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 12*a^2*z^6 - 16*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48184] -> -5 + 2/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - a^4 - 
   14*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + (27*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^6 - (12*z^4)/a^4 + (27*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (14*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48185] -> 
  -10 - 2/a^4 + 7/a^2 + 9*a^2 - 3*a^4 - 23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   21*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   22*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48186] -> 2*a^2 - 5*a^4 + 10*a^6 - 10*a^8 + 6*a^10 - 
   2*a^12 + 5*a^2*z^2 - 13*a^4*z^2 + 24*a^6*z^2 - 22*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 15*a^4*z^4 + 22*a^6*z^4 - 24*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 12*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 48187] -> -3 - a^(-6) + 2/a^4 + 5*a^2 - 2*a^4 - 
   11*z^2 + (5*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48188] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   12*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 12*a^4*z^4 + 
   15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48189] -> 2/a^10 - 10/a^8 + 16/a^6 - 11/a^4 + 4/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (17*z^2)/a^8 + (32*z^2)/a^6 - (24*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (9*z^4)/a^8 + (25*z^4)/a^6 - (23*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 48190] -> -10 - 3/a^4 + 9/a^2 + 7*a^2 - 
   2*a^4 - 24*z^2 + z^2/a^6 - (8*z^2)/a^4 + (22*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (24*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48191] -> -6 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + 
   2*a^2 - 13*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + 
   (22*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (23*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 48192] -> -2 + 4/a^8 - 14/a^6 + 13/a^4 - 
   7*z^2 + (8*z^2)/a^8 - (35*z^2)/a^6 + (37*z^2)/a^4 + (2*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (36*z^4)/a^6 + (47*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48193] -> 2/a^6 - 9/a^4 + 10/a^2 - 2*a^2 + 6*z^2 + 
   (3*z^2)/a^6 - (17*z^2)/a^4 + (19*z^2)/a^2 - 5*a^2*z^2 - a^4*z^2 + 14*z^4 + 
   z^4/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 11*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 48194] -> 1 + 2/a^8 - 7/a^6 + 6/a^4 - a^2 + 
   3*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + (14*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (11*z^4)/a^6 + (14*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 48195] -> 
  -8 - 2/a^4 + 7/a^2 + 4*a^2 + a^4 - a^6 - 15*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 12*z^4 - z^4/a^4 + (11*z^4)/a^2 - 
   9*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 10*a^2*z^6 - 
   a^4*z^6 + a^6*z^6 - 2*z^8 - 3*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 48196] -> -4 + 12*a^2 - 12*a^4 + 9*a^6 - 5*a^8 + 
   a^10 - 8*z^2 + 26*a^2*z^2 - 25*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - 5*z^4 + 24*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 
   11*a^2*z^6 - 12*a^4*z^6 - 2*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 48197] -> 
  -4 + 16*a^2 - 17*a^4 + 6*a^6 - 8*z^2 + 34*a^2*z^2 - 38*a^4*z^2 + 
   9*a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 29*a^2*z^4 - 35*a^4*z^4 - a^6*z^4 + 
   5*a^8*z^4 - z^6 + 12*a^2*z^6 - 18*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48198] -> -8 + 2/a^6 - 5/a^4 + 8/a^2 + 3*a^2 + 2*a^4 - 
   a^6 - 17*z^2 + z^2/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 7*z^6 + (5*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   a^2*z^8, Knot[15, Alternating, 48199] -> -8 + 4/a^2 + 9*a^2 - 8*a^4 + 
   5*a^6 - a^8 - 19*z^2 + (4*z^2)/a^2 + 24*a^2*z^2 - 22*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 27*a^2*z^4 - 22*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48200] -> 4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 18*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 14*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48201] -> 
  2 - a^2 - 3*a^4 + 6*a^6 - 4*a^8 + a^10 + z^2 + a^2*z^2 - 12*a^4*z^2 + 
   16*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 15*a^4*z^4 + 
   17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48202] -> a^(-10) - 5/a^8 + 13/a^6 - 16/a^4 + 8/a^2 - 
   (9*z^2)/a^8 + (30*z^2)/a^6 - (36*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^10 - 
   z^4/a^8 + (28*z^4)/a^6 - (32*z^4)/a^4 + (6*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (16*z^6)/a^6 - (13*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48203] -> 8 + 3/a^4 - 10/a^2 + 4*a^2 - 4*a^4 + 
   12*z^2 + (8*z^2)/a^4 - (23*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*z^4 + 
   (9*z^4)/a^4 - (23*z^4)/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48204] -> 
  5 + a^(-6) - 2/a^4 - 2/a^2 + a^2 - 2*a^4 + 8*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (7*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 48205] -> -6 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + 
   2*a^2 - 15*z^2 - z^2/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48206] -> -9 - 2/a^4 + 6/a^2 + 10*a^2 - 4*a^4 - 
   19*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 23*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + 
   z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 11*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48207] -> 
  2 + a^(-10) - 4/a^8 + 8/a^6 - 7/a^4 + a^(-2) + 3*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (18*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 - z^4/a^10 - 
   (6*z^4)/a^8 + (18*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48208] -> 4 + a^(-10) - 4/a^8 + 7/a^6 - 3/a^4 - 
   4/a^2 + 4*z^2 - (5*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48209] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + (2*z^2)/a^12 - (5*z^2)/a^10 - 
   (10*z^2)/a^8 + (25*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + 
   (12*z^4)/a^8 + (22*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (21*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48210] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48211] -> 2/a^10 - 7/a^8 + 7/a^6 - 2/a^4 + a^(-2) - 
   z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (18*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (25*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 48212] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) + z^2 - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48213] -> -2 + 6*a^2 - 3*a^4 + 12*z^2 - (3*z^2)/a^2 - 
   12*a^2*z^2 + 6*a^4*z^2 + 37*z^4 - (7*z^4)/a^2 - 53*a^2*z^4 + 20*a^4*z^4 + 
   35*z^6 - (5*z^6)/a^2 - 61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 
   33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 48214] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   20*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 48215] -> 6 - 2/a^2 - 4*a^2 + a^4 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*a^2*z^2 + 4*a^4*z^2 - 11*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 48216] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 - 2*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48217] -> -4 + 4/a^8 - 12/a^6 + 7/a^4 + 6/a^2 - 
   12*z^2 + (8*z^2)/a^8 - (28*z^2)/a^6 + (16*z^2)/a^4 + (21*z^2)/a^2 - 
   13*z^4 + (5*z^4)/a^8 - (27*z^4)/a^6 + (18*z^4)/a^4 + (29*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (12*z^6)/a^6 + (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48218] -> -1 + 2/a^8 - 5/a^6 + 6/a^2 - a^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 - z^2/a^4 + (14*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (7*z^4)/a^6 + (14*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48219] -> 13 - 6/a^2 - 3*a^2 - 6*a^4 + 3*a^6 + 
   31*z^2 - (11*z^2)/a^2 - 7*a^2*z^2 - 20*a^4*z^2 + 10*a^6*z^2 + 30*z^4 - 
   (6*z^4)/a^2 - 11*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - z^6/a^2 - 
   12*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 48220] -> 
  6 - 2/a^4 + a^(-2) - 3*a^2 - 3*a^4 + 2*a^6 + 11*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 9*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 6*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 48221] -> -a^(-12) + 6/a^10 - 16/a^8 + 16/a^6 - 
   4/a^4 + (5*z^2)/a^10 - (28*z^2)/a^8 + (42*z^2)/a^6 - (12*z^2)/a^4 + 
   (2*z^4)/a^12 - (5*z^4)/a^10 - (14*z^4)/a^8 + (43*z^4)/a^6 - (13*z^4)/a^4 + 
   z^6/a^12 - (7*z^6)/a^10 + (2*z^6)/a^8 + (23*z^6)/a^6 - (6*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48222] -> 4*a^2 - 10*a^4 + 12*a^6 - 5*a^8 + 
   10*a^2*z^2 - 27*a^4*z^2 + 26*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 + 
   10*a^2*z^4 - 31*a^4*z^4 + 18*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 
   5*a^2*z^6 - 18*a^4*z^6 + 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48223] -> 4*a^2 - 12*a^4 + 17*a^6 - 9*a^8 + a^10 + 
   12*a^2*z^2 - 34*a^4*z^2 + 36*a^6*z^2 - 7*a^8*z^2 - 2*a^10*z^2 + 
   13*a^2*z^4 - 38*a^4*z^4 + 22*a^6*z^4 + 7*a^8*z^4 - 3*a^10*z^4 + 
   6*a^2*z^6 - 22*a^4*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 7*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48224] -> -3 + 4/a^8 - 14/a^6 + 12/a^4 + 2/a^2 - 
   9*z^2 + (8*z^2)/a^8 - (36*z^2)/a^6 + (37*z^2)/a^4 + (6*z^2)/a^2 - 10*z^4 + 
   (5*z^4)/a^8 - (37*z^4)/a^6 + (49*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (35*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48225] -> 1 - 2/a^4 + 3/a^2 + a^2 - 4*a^4 + 2*a^6 - 
   7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48226] -> 
  -6 + a^(-6) - 9/a^4 + 15/a^2 - 15*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (36*z^2)/a^2 - 14*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (38*z^4)/a^2 - 6*z^6 + z^6/a^8 - (9*z^6)/a^6 + (8*z^6)/a^4 + 
   (22*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 48227] -> -13 - 4/a^4 + 12/a^2 + 10*a^2 - 
   6*a^4 + 2*a^6 - 33*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 27*a^2*z^2 - 
   17*a^4*z^2 + 5*a^6*z^2 - 33*z^4 - z^4/a^4 + (14*z^4)/a^2 + 29*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 16*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48228] -> -14 + a^(-6) - 5/a^4 + 11/a^2 + 12*a^2 - 
   4*a^4 - 35*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (30*z^2)/a^2 + 22*a^2*z^2 - 
   4*a^4*z^2 - 34*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (32*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (18*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48229] -> -12 + 3/a^6 - 11/a^4 + 17/a^2 + 4*a^2 - 
   22*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (31*z^2)/a^4 + (37*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - (33*z^4)/a^4 + 
   (34*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (18*z^6)/a^4 + 
   (16*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 48230] -> -2 + 4/a^8 - 16/a^6 + 17/a^4 - 2/a^2 - 
   9*z^2 + (8*z^2)/a^8 - (42*z^2)/a^6 + (51*z^2)/a^4 - z^2/a^2 - 12*z^4 + 
   (5*z^4)/a^8 - (43*z^4)/a^6 + (65*z^4)/a^4 + (8*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (19*z^6)/a^6 + (44*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (15*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48231] -> -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 8*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (8*z^2)/a^4 + (20*z^2)/a^2 - 2*a^2*z^2 - 
   3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (11*z^4)/a^4 + (24*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 48232] -> 
  24 + 3/a^4 - 16/a^2 - 10*a^2 + 82*z^2 + (10*z^2)/a^4 - (54*z^2)/a^2 - 
   31*a^2*z^2 + 121*z^4 + (12*z^4)/a^4 - (73*z^4)/a^2 - 39*a^2*z^4 + 95*z^6 + 
   (6*z^6)/a^4 - (49*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 48233] -> 12 + a^(-6) - 3/a^4 - 3/a^2 - 6*a^2 + 
   32*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 - (3*z^2)/a^2 - 15*a^2*z^2 + 37*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 48234] -> 
  2/a^6 - 9/a^4 + 10/a^2 - 2*a^2 + 6*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (23*z^2)/a^2 - 7*a^2*z^2 + 15*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (25*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (16*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 48235] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + (4*z^4)/a^4 - (2*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48236] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 - 
   z^2/a^10 - (7*z^2)/a^8 + (24*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 + (13*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48237] -> 4*a^6 - 8*a^8 + 11*a^10 - 7*a^12 + a^14 + 
   12*a^6*z^2 - 18*a^8*z^2 + 24*a^10*z^2 - 5*a^12*z^2 - 3*a^14*z^2 + 
   13*a^6*z^4 - 19*a^8*z^4 + 17*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 
   6*a^6*z^6 - 14*a^8*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 48238] -> -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   25*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 24*a^2*z^2 - 15*a^4*z^2 + 
   3*a^6*z^2 - 28*z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 + 28*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 17*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48239] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 - 6*a^4*z^2 + 
   14*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + 5*a^2*z^4 - 13*a^4*z^4 + 
   12*a^6*z^4 + 6*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 48240] -> 
  2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 
   3*a^10*z^2 + a^12*z^2 - 4*a^4*z^4 + 15*a^6*z^4 - 10*a^8*z^4 - 5*a^10*z^4 + 
   3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 48241] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   7*z^2 + 23*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 + a^8*z^2 - 9*z^4 + 
   25*a^2*z^4 - 12*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 
   2*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 48242] -> 
  -a^(-16) + 6/a^14 - 13/a^12 + 12/a^10 - 7/a^8 + 4/a^6 + (4*z^2)/a^14 - 
   (21*z^2)/a^12 + (31*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 - 
   (2*z^4)/a^14 - (4*z^4)/a^12 + (26*z^4)/a^10 - (22*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (6*z^6)/a^12 + (5*z^6)/a^10 - (15*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (3*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 48243] -> 
  4*a^6 - 8*a^8 + 13*a^10 - 12*a^12 + 5*a^14 - a^16 + 12*a^6*z^2 - 
   21*a^8*z^2 + 34*a^10*z^2 - 18*a^12*z^2 + 2*a^14*z^2 + 13*a^6*z^4 - 
   23*a^8*z^4 + 29*a^10*z^4 - a^12*z^4 - 3*a^14*z^4 + 6*a^6*z^6 - 
   15*a^8*z^6 + 6*a^10*z^6 + 7*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   3*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 48244] -> 8*a^6 - 15*a^8 + 13*a^10 - 6*a^12 + a^14 - 
   4*a^4*z^2 + 27*a^6*z^2 - 33*a^8*z^2 + 19*a^10*z^2 - 4*a^12*z^2 - 
   8*a^4*z^4 + 30*a^6*z^4 - 24*a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   5*a^4*z^6 + 17*a^6*z^6 - 4*a^8*z^6 - 6*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 48245] -> -2/a^18 + 9/a^16 - 12/a^14 + 6/a^10 - 
   z^2/a^18 + (12*z^2)/a^16 - (34*z^2)/a^14 + (12*z^2)/a^12 + (23*z^2)/a^10 - 
   (28*z^4)/a^14 + (34*z^4)/a^12 + (34*z^4)/a^10 - (4*z^6)/a^16 - 
   (3*z^6)/a^14 + (34*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + 
   (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 48246] -> -a^(-18) + 4/a^16 - 4/a^14 - 3/a^12 + 
   3/a^10 + 2/a^8 + (3*z^2)/a^16 - (11*z^2)/a^14 - (2*z^2)/a^12 + 
   (14*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (9*z^4)/a^12 + 
   (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (11*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 48247] -> -a^(-16) + 4/a^14 - 6/a^12 + 
   4/a^8 - z^2/a^16 + (2*z^2)/a^14 - (9*z^2)/a^12 + (6*z^2)/a^10 + 
   (12*z^2)/a^8 - (2*z^4)/a^16 + z^4/a^12 + (13*z^4)/a^10 + (13*z^4)/a^8 - 
   z^6/a^16 + (2*z^6)/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + 
   z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 48248] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (17*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (22*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 48249] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^12 - (4*z^2)/a^10 - (2*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48250] -> -3 + 7*a^2 - 2*a^4 - a^6 - z^2 - 4*a^2*z^2 + 
   20*a^4*z^2 - 10*a^6*z^2 + 6*z^4 - 32*a^2*z^4 + 58*a^4*z^4 - 21*a^6*z^4 + 
   5*z^6 - 34*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 48251] -> 1 - a^(-2) + 2*a^2 - a^6 - z^2 + 
   11*a^4*z^2 - 6*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 21*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 48252] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 48253] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - z^2 - z^2/a^6 + (3*z^2)/a^4 - 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48254] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 - z^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   10*a^2*z^4 - 15*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   8*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 48255] -> 
  -5 + 2/a^2 + 9*a^2 - 9*a^4 + 5*a^6 - a^8 - 15*z^2 + (3*z^2)/a^2 + 
   23*a^2*z^2 - 20*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48256] -> -2/a^4 + 3/a^2 + 3*a^2 - 5*a^4 + 
   2*a^6 - 8*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 - 16*z^4 - z^4/a^4 + (10*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48257] -> 
  -2 + 7*a^2 - 7*a^4 + 6*a^6 - 4*a^8 + a^10 - 5*z^2 + 16*a^2*z^2 - 
   14*a^4*z^2 + 10*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - z^6 + 9*a^2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 48258] -> -a^(-8) + 3/a^6 - 4/a^4 + 
   3/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 + (2*z^6)/a^8 - z^6/a^6 - (4*z^6)/a^4 + (7*z^6)/a^2 + 
   z^8/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48259] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (2*z^4)/a^10 - (16*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48260] -> -a^(-12) + 5/a^10 - 9/a^8 + 7/a^6 - 3/a^4 + 
   2/a^2 - z^2/a^12 + (7*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (6*z^4)/a^8 + (10*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 48261] -> 
  -6 - 2/a^8 + 7/a^6 - 11/a^4 + 11/a^2 + 2*a^2 - 21*z^2 - z^2/a^8 + 
   (11*z^2)/a^6 - (25*z^2)/a^4 + (30*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (33*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 48262] -> -5 + 2/a^2 + 10*a^2 - 12*a^4 + 
   8*a^6 - 2*a^8 - 13*z^2 + (3*z^2)/a^2 + 23*a^2*z^2 - 30*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 25*a^2*z^4 - 32*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48263] -> -9 - 2/a^4 + 7/a^2 + 8*a^2 - 4*a^4 + a^6 - 
   22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48264] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 - z^2 + 10*a^2*z^2 - 16*a^4*z^2 + 
   10*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 48265] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48266] -> -11 - a^(-4) + 6/a^2 + 12*a^2 - 7*a^4 + 
   2*a^6 - 33*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 + 27*a^2*z^2 - 11*a^4*z^2 + 
   a^6*z^2 - 36*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48267] -> 
  4*a^2 - 8*a^4 + 9*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 8*a^2*z^2 - 20*a^4*z^2 + 
   24*a^6*z^2 - 20*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 5*a^2*z^4 - 
   22*a^4*z^4 + 26*a^6*z^4 - 26*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   11*a^4*z^6 + 16*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   6*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 48268] -> 
  -11 - 2/a^4 + 8/a^2 + 10*a^2 - 6*a^4 + 2*a^6 - 32*z^2 - (5*z^2)/a^4 + 
   (20*z^2)/a^2 + 25*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 35*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48269] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 10/a^2 - a^2 + 
   2*a^4 - 6*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (21*z^2)/a^4 + (20*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + 
   (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48270] -> 
  -7 - a^(-8) + 4/a^6 - 9/a^4 + 12/a^2 + 2*a^2 - 17*z^2 - z^2/a^8 + 
   (8*z^2)/a^6 - (18*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48271] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 14*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48272] -> 
  2/a^10 - 8/a^8 + 10/a^6 - 5/a^4 + 2/a^2 - z^2/a^10 - (2*z^2)/a^8 + 
   (13*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (8*z^4)/a^6 - (16*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (20*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48273] -> 2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 - 
   z^2 + 4*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48274] -> -7 + 2/a^2 + 10*a^2 - 6*a^4 + 4*a^6 - 
   2*a^8 - 17*z^2 + (5*z^2)/a^2 + 22*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 
   3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48275] -> 
  -2*a^4 + 5*a^6 + 5*a^8 - 11*a^10 + 4*a^12 - 7*a^4*z^2 + 15*a^6*z^2 + 
   21*a^8*z^2 - 29*a^10*z^2 + 7*a^12*z^2 - 9*a^4*z^4 + 17*a^6*z^4 + 
   34*a^8*z^4 - 31*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 
   28*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 48276] -> 
  -3 + 4/a^8 - 15/a^6 + 14/a^4 + a^(-2) - 9*z^2 + (8*z^2)/a^8 - 
   (37*z^2)/a^6 + (40*z^2)/a^4 + (5*z^2)/a^2 - 10*z^4 + (5*z^4)/a^8 - 
   (37*z^4)/a^6 + (50*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (17*z^6)/a^6 + (35*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48277] -> -2*a^4 + 3*a^6 + 10*a^8 - 15*a^10 + 5*a^12 - 
   7*a^4*z^2 + 9*a^6*z^2 + 36*a^8*z^2 - 38*a^10*z^2 + 8*a^12*z^2 - 
   9*a^4*z^4 + 12*a^6*z^4 + 50*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 48278] -> -4*a^4 + 12*a^6 - 4*a^8 - 6*a^10 + 3*a^12 - 
   12*a^4*z^2 + 29*a^6*z^2 + 9*a^8*z^2 - 26*a^10*z^2 + 7*a^12*z^2 - 
   13*a^4*z^4 + 28*a^6*z^4 + 32*a^8*z^4 - 33*a^10*z^4 + 5*a^12*z^4 - 
   6*a^4*z^6 + 16*a^6*z^6 + 31*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   6*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 48279] -> a^(-14) - 2/a^12 + a^(-10) - 3/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (8*z^2)/a^12 - (7*z^2)/a^10 - (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (22*z^4)/a^12 - (22*z^4)/a^10 - (6*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 48280] -> 
  -2 + 4/a^8 - 17/a^6 + 19/a^4 - 3/a^2 - 8*z^2 + (8*z^2)/a^8 - (43*z^2)/a^6 + 
   (55*z^2)/a^4 - (4*z^2)/a^2 - 10*z^4 + (5*z^4)/a^8 - (42*z^4)/a^6 + 
   (66*z^4)/a^4 + (4*z^4)/a^2 - 5*z^6 + z^6/a^8 - (18*z^6)/a^6 + 
   (42*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 48281] -> 
  4*a^2 - 8*a^4 + 10*a^6 - 9*a^8 + 6*a^10 - 2*a^12 + 8*a^2*z^2 - 22*a^4*z^2 + 
   29*a^6*z^2 - 23*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 
   29*a^4*z^4 + 32*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 
   18*a^4*z^6 + 18*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 48282] -> 3/a^10 - 11/a^8 + 11/a^6 - 
   2/a^4 + (2*z^2)/a^12 - (5*z^2)/a^10 - (10*z^2)/a^8 + (25*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + (12*z^4)/a^8 + (22*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (21*z^6)/a^8 + (12*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 48283] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 48284] -> 
  -4 + 4/a^8 - 15/a^6 + 13/a^4 + 3/a^2 - 12*z^2 + (8*z^2)/a^8 - 
   (39*z^2)/a^6 + (41*z^2)/a^4 + (10*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (40*z^4)/a^6 + (55*z^4)/a^4 + (16*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (39*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48285] -> -5 - 2/a^4 + 4/a^2 + 8*a^2 - 4*a^4 - 
   14*z^2 - z^2/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 
   17*z^4 + (2*z^4)/a^4 + (5*z^4)/a^2 + 14*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 
   12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 2*a^4*z^6 - 3*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 48286] -> -2 + 4/a^8 - 18/a^6 + 21/a^4 - 
   4/a^2 - 9*z^2 + (8*z^2)/a^8 - (45*z^2)/a^6 + (59*z^2)/a^4 - (4*z^2)/a^2 - 
   12*z^4 + (5*z^4)/a^8 - (44*z^4)/a^6 + (70*z^4)/a^4 + (7*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (19*z^6)/a^6 + (45*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (15*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48287] -> -5 + 2/a^8 - 8/a^6 + 4/a^4 + 8/a^2 - 9*z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (10*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 - 
   3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (12*z^4)/a^4 + (25*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 48288] -> 
  -6*a^6 + 25*a^8 - 26*a^10 + 8*a^12 - 23*a^6*z^2 + 90*a^8*z^2 - 
   77*a^10*z^2 + 18*a^12*z^2 - 34*a^6*z^4 + 129*a^8*z^4 - 92*a^10*z^4 + 
   17*a^12*z^4 - 24*a^6*z^6 + 97*a^8*z^6 - 56*a^10*z^6 + 7*a^12*z^6 - 
   8*a^6*z^8 + 42*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 48289] -> 
  -2*a^4 + 4*a^6 + 8*a^8 - 14*a^10 + 5*a^12 - 7*a^4*z^2 + 15*a^6*z^2 + 
   23*a^8*z^2 - 32*a^10*z^2 + 8*a^12*z^2 - 9*a^4*z^4 + 21*a^6*z^4 + 
   26*a^8*z^4 - 28*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 
   16*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 48290] -> 
  -4 + 4/a^8 - 15/a^6 + 13/a^4 + 3/a^2 - 12*z^2 + (8*z^2)/a^8 - 
   (39*z^2)/a^6 + (41*z^2)/a^4 + (10*z^2)/a^2 - 13*z^4 + (5*z^4)/a^8 - 
   (40*z^4)/a^6 + (55*z^4)/a^4 + (16*z^4)/a^2 - 6*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (39*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48291] -> 4*a^2 - 8*a^4 + 11*a^6 - 11*a^8 + 7*a^10 - 
   2*a^12 + 8*a^2*z^2 - 23*a^4*z^2 + 32*a^6*z^2 - 27*a^8*z^2 + 12*a^10*z^2 - 
   a^12*z^2 + 7*a^2*z^4 - 30*a^4*z^4 + 35*a^6*z^4 - 23*a^8*z^4 + 4*a^10*z^4 + 
   4*a^2*z^6 - 18*a^4*z^6 + 19*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 48292] -> 
  -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 13*z^2 + z^2/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 13*z^4 - z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 48293] -> 
  2 + a^2 - 5*a^4 + 4*a^6 - 2*a^8 + a^10 - z^2 + 6*a^2*z^2 - 18*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 24*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48294] -> 
  -8 - 2/a^4 + 7/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 20*z^2 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 48295] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 37*z^2 + (2*z^2)/a^6 + z^2/a^4 - 
   (23*z^2)/a^2 - 13*a^2*z^2 + 37*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   (17*z^4)/a^2 - 11*a^2*z^4 + 19*z^6 + z^6/a^6 - (7*z^6)/a^4 - (2*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 48296] -> 18 - 6/a^2 - 16*a^2 + 5*a^4 + 52*z^2 - 
   (14*z^2)/a^2 - 55*a^2*z^2 + 18*a^4*z^2 + 66*z^4 - (13*z^4)/a^2 - 
   83*a^2*z^4 + 26*a^4*z^4 + 44*z^6 - (6*z^6)/a^2 - 70*a^2*z^6 + 19*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 48297] -> 
  4 - 2/a^4 + 3/a^2 - 7*a^2 + 3*a^4 + 6*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 - 
   21*a^2*z^2 + 9*a^4*z^2 + z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 48298] -> -10 - 4/a^4 + 12/a^2 + 2*a^2 + a^4 - 
   28*z^2 - (6*z^2)/a^4 + (27*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 31*z^4 - 
   (4*z^4)/a^4 + (25*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - 18*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 48299] -> 
  -9 + a^(-6) - 4/a^4 + 9/a^2 + 4*a^2 - 22*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (21*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (22*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48300] -> 
  17 + 4/a^4 - 14/a^2 - 6*a^2 + 39*z^2 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (32*z^2)/a^2 - 12*a^2*z^2 + 36*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (24*z^4)/a^2 - 10*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 - (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 48301] -> 3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (10*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48302] -> 4*a^6 - 8*a^8 + 11*a^10 - 7*a^12 + a^14 + 
   2*a^4*z^2 + 9*a^6*z^2 - 17*a^8*z^2 + 25*a^10*z^2 - 8*a^12*z^2 - a^14*z^2 + 
   3*a^4*z^4 + 5*a^6*z^4 - 17*a^8*z^4 + 19*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 11*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 48303] -> 
  2 + 2/a^6 - 9/a^4 + 9/a^2 - 3*a^2 + 12*z^2 + (4*z^2)/a^6 - (19*z^2)/a^4 + 
   (18*z^2)/a^2 - 9*a^2*z^2 + 21*z^4 + (3*z^4)/a^6 - (18*z^4)/a^4 + 
   (18*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (12*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 48304] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 4*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   4*a^4*z^2 - 4*z^4 + (5*z^4)/a^4 - (7*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48305] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 37*z^2 + 
   (2*z^2)/a^6 + z^2/a^4 - (23*z^2)/a^2 - 13*a^2*z^2 + 37*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - (17*z^4)/a^2 - 11*a^2*z^4 + 19*z^6 + z^6/a^6 - (7*z^6)/a^4 - 
   (2*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 48306] -> 
  -2*a^6 + 14*a^8 - 16*a^10 + 5*a^12 - 2*a^4*z^2 - 4*a^6*z^2 + 44*a^8*z^2 - 
   39*a^10*z^2 + 8*a^12*z^2 - 5*a^4*z^4 - a^6*z^4 + 55*a^8*z^4 - 
   37*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 36*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 48307] -> 
  -4*a^6 + 19*a^8 - 20*a^10 + 6*a^12 - a^4*z^2 - 11*a^6*z^2 + 58*a^8*z^2 - 
   47*a^10*z^2 + 9*a^12*z^2 - 4*a^4*z^4 - 8*a^6*z^4 + 69*a^8*z^4 - 
   42*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 2*a^6*z^6 + 42*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 48308] -> 
  -2*a^4 + 6*a^6 + 2*a^8 - 8*a^10 + 3*a^12 - 6*a^4*z^2 + 17*a^6*z^2 + 
   9*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 19*a^6*z^4 + 
   12*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 11*a^6*z^6 + 7*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 48309] -> 4/a^8 - 20/a^6 + 27/a^4 - 10/a^2 + 
   (9*z^2)/a^8 - (57*z^2)/a^6 + (91*z^2)/a^4 - (34*z^2)/a^2 + (9*z^4)/a^8 - 
   (70*z^4)/a^6 + (130*z^4)/a^4 - (43*z^4)/a^2 + (5*z^6)/a^8 - (45*z^6)/a^6 + 
   (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 48310] -> -3 + 2/a^8 - 10/a^6 + 10/a^4 + 2/a^2 - 
   10*z^2 + (4*z^2)/a^8 - (24*z^2)/a^6 + (28*z^2)/a^4 + (10*z^2)/a^2 - 
   11*z^4 + (3*z^4)/a^8 - (23*z^4)/a^6 + (32*z^4)/a^4 + (19*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (19*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48311] -> -2*a^6 + 14*a^8 - 16*a^10 + 5*a^12 - 
   2*a^4*z^2 - 4*a^6*z^2 + 44*a^8*z^2 - 39*a^10*z^2 + 8*a^12*z^2 - 
   5*a^4*z^4 - a^6*z^4 + 55*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   4*a^6*z^6 + 36*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 48312] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48313] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48314] -> -2/a^18 + 11/a^16 - 17/a^14 + 4/a^12 + 
   5/a^10 - z^2/a^18 + (16*z^2)/a^16 - (44*z^2)/a^14 + (19*z^2)/a^12 + 
   (19*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (36*z^4)/a^14 + 
   (32*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48315] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (47*z^2)/a^14 + (25*z^2)/a^12 + (18*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (38*z^4)/a^14 + (38*z^4)/a^12 + (29*z^4)/a^10 + (4*z^4)/a^8 - 
   (9*z^6)/a^14 + (24*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48316] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 3/a^12 + 5/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (15*z^2)/a^14 - (3*z^2)/a^12 + (18*z^2)/a^10 + (6*z^2)/a^8 - 
   (9*z^4)/a^14 + (5*z^4)/a^12 + (22*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + 
   (5*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 48317] -> 18 + 3/a^4 - 14/a^2 - 4*a^2 - 2*a^4 + 
   49*z^2 + (7*z^2)/a^4 - (37*z^2)/a^2 - 6*a^2*z^2 - 6*a^4*z^2 + 59*z^4 + 
   (5*z^4)/a^4 - (38*z^4)/a^2 + a^2*z^4 - 8*a^4*z^4 + 39*z^6 + z^6/a^4 - 
   (18*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 48318] -> 
  9 + a^(-6) - 3/a^4 - 2/a^2 - 3*a^2 - a^4 + 21*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 22*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48319] -> -2/a^18 + 11/a^16 - 17/a^14 + 4/a^12 + 
   5/a^10 - z^2/a^18 + (16*z^2)/a^16 - (44*z^2)/a^14 + (19*z^2)/a^12 + 
   (19*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (36*z^4)/a^14 + 
   (32*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48320] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - (11*z^4)/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - (18*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 48321] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48322] -> 6 - 2/a^2 - 4*a^2 + a^4 + 30*z^2 - 
   (8*z^2)/a^2 - 33*a^2*z^2 + 12*a^4*z^2 + 50*z^4 - (9*z^4)/a^2 - 
   69*a^2*z^4 + 24*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 48323] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 15*a^2*z^2 + 
   7*a^4*z^2 - (2*z^4)/a^4 + (10*z^4)/a^2 - 23*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 48324] -> 
  2*a^2 - a^4 + z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48325] -> 
  1 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 - a^4*z^2 + 4*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 48326] -> a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (18*z^2)/a^10 + (16*z^2)/a^8 + (15*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (24*z^4)/a^10 + (34*z^4)/a^8 + (16*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (29*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 48327] -> a^(-12) - 4/a^10 + 2/a^8 + 
   a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (11*z^2)/a^10 + (9*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (13*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48328] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48329] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 3*a^4*z^2 + 
   7*a^6*z^2 - 11*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - a^2*z^4 - a^4*z^4 + 
   10*a^6*z^4 - 12*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 48330] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 18*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48331] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48332] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48333] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - z^2/a^2 + 
   9*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + z^4/a^2 + 
   12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48334] -> 8*a^8 - 10*a^10 + 3*a^12 - 
   2*a^4*z^2 + a^6*z^2 + 31*a^8*z^2 - 30*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 
   5*a^6*z^4 + 44*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   8*a^6*z^6 + 33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 48335] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   3*a^4*z^2 + 12*a^6*z^2 + 6*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 16*a^6*z^4 + 7*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 48336] -> 
  4 - 6*a^2 + 3*a^4 + 17*z^2 - z^2/a^2 - 34*a^2*z^2 + 15*a^4*z^2 + 34*z^4 - 
   (4*z^4)/a^2 - 69*a^2*z^4 + 25*a^4*z^4 + 31*z^6 - (4*z^6)/a^2 - 
   67*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 48337] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 + (4*z^2)/a^2 - 14*a^2*z^2 + 8*a^4*z^2 - 
   5*z^4 - z^4/a^4 + (7*z^4)/a^2 - 23*a^2*z^4 + 10*a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 48338] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 4*z^2 + 12*a^2*z^2 + 2*a^4*z^2 - 
   18*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 17*a^2*z^4 - 6*a^4*z^4 - 24*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 10*a^2*z^6 - 9*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48339] -> -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - z^2/a^2 + 
   11*a^2*z^2 - 11*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 13*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 48340] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (9*z^2)/a^2 - a^2*z^2 + 
   z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48341] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48342] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 4*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 
   6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 22*a^6*z^4 - a^8*z^4 - 
   7*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 14*a^6*z^6 + 3*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 48343] -> 6*a^6 - 7*a^8 + 2*a^10 - 2*z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 20*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 10*a^2*z^4 - 
   14*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 48344] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 
   4*a^4*z^2 + 17*a^6*z^2 - 4*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   6*a^4*z^4 + 22*a^6*z^4 - a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 14*a^6*z^6 + 3*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 48345] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   6*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48346] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   z^2/a^2 + 9*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 12*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48347] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 7*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + 
   (13*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - (14*z^4)/a^6 + (17*z^4)/a^4 + 
   (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (22*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 48348] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48349] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 6*z^2 + 17*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   10*z^4 - z^4/a^4 + (4*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48350] -> 
  2 - a^(-8) + a^(-6) - a^2 + 4*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (8*z^4)/a^6 + (9*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48351] -> -8 + a^(-6) - 5/a^4 + 9/a^2 + 6*a^2 - 
   2*a^4 - 20*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (21*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48352] -> -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 
   4/a^10 - z^2/a^18 + (16*z^2)/a^16 - (46*z^2)/a^14 + (24*z^2)/a^12 + 
   (17*z^2)/a^10 + (2*z^2)/a^8 + (5*z^4)/a^16 - (37*z^4)/a^14 + 
   (36*z^4)/a^12 + (27*z^4)/a^10 + (5*z^4)/a^8 - (9*z^6)/a^14 + 
   (23*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48353] -> 
  -a^(-14) + 6/a^12 - 11/a^10 + 5/a^8 + 2/a^6 - (4*z^2)/a^14 + 
   (18*z^2)/a^12 - (29*z^2)/a^10 + (13*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (25*z^4)/a^12 - (36*z^4)/a^10 + (9*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (15*z^6)/a^12 - (28*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 48354] -> -2/a^18 + 11/a^16 - 19/a^14 + 
   8/a^12 + 3/a^10 - z^2/a^18 + (16*z^2)/a^16 - (48*z^2)/a^14 + 
   (28*z^2)/a^12 + (17*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (39*z^4)/a^14 + 
   (40*z^4)/a^12 + (30*z^4)/a^10 + (3*z^4)/a^8 - (10*z^6)/a^14 + 
   (26*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + (6*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48355] -> 
  7 + a^(-6) - 3/a^4 - a^(-2) - 2*a^2 - a^4 + 12*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48356] -> a^(-10) - 5/a^8 + 10/a^6 - 10/a^4 + 5/a^2 - 
   3*z^2 + z^2/a^10 - (8*z^2)/a^8 + (21*z^2)/a^6 - (25*z^2)/a^4 + 
   (14*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (27*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48357] -> 
  5 + a^(-6) - 3/a^4 - a^2 - a^4 + 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48358] -> -1 + a^(-10) - 5/a^8 + 9/a^6 - 9/a^4 + 
   6/a^2 - 4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (20*z^2)/a^6 - (23*z^2)/a^4 + 
   (16*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 - (26*z^4)/a^4 + 
   (20*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (15*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48359] -> 
  -a^(-12) + 6/a^10 - 12/a^8 + 9/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + 
   (9*z^2)/a^10 - (24*z^2)/a^8 + (23*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^10 - (19*z^4)/a^8 + (25*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 
   (6*z^6)/a^8 + (15*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 48360] -> 
  -6 + 2/a^2 + 10*a^2 - 8*a^4 + 4*a^6 - a^8 - 17*z^2 + (4*z^2)/a^2 + 
   25*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 20*z^4 + (5*z^4)/a^2 + 
   27*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48361] -> 5*a^2 - 10*a^4 + 10*a^6 - 5*a^8 + a^10 - 
   2*z^2 + 11*a^2*z^2 - 22*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   2*z^4 + 12*a^2*z^4 - 23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   9*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48362] -> -2/a^18 + 11/a^16 - 18/a^14 + 
   6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - (47*z^2)/a^14 + 
   (25*z^2)/a^12 + (18*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - (39*z^4)/a^14 + 
   (39*z^4)/a^12 + (30*z^4)/a^10 + (3*z^4)/a^8 - (10*z^6)/a^14 + 
   (26*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + (6*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48363] -> 
  10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 22*z^2 + (4*z^2)/a^4 - (18*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 17*z^4 + (6*z^4)/a^4 - (19*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 2*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48364] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - 3*z^4 + z^4/a^8 - z^4/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48365] -> -1 + 5*a^2 - 4*a^4 + a^6 - 4*z^2 + z^2/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 4*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 48366] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^2 + 
   5*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 48367] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + z^2/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48368] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   z^4/a^8 - (7*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48369] -> 3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 
   13*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48370] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (21*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48371] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 9*a^2*z^2 - 12*a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 21*a^4*z^4 + 13*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 
   5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48372] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48373] -> 3 - a^(-2) - a^2 + z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - 4*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 + 
   a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48374] -> 3 - a^(-2) - a^2 + 2*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 2*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 4*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48375] -> 1 + a^(-6) - 2/a^4 + a^(-2) + (2*z^2)/a^8 - 
   (7*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - (8*z^4)/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48376] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48377] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48378] -> -2/a^6 + 3/a^4 - z^2/a^10 + (3*z^2)/a^6 + 
   z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (7*z^4)/a^6 - (8*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (2*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48379] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48380] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 - 2*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 48381] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - 5*z^2 - z^2/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48382] -> 
  -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^2)/a^4 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48383] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 - (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - (4*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48384] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 + z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 + 
   a^4*z^2 - 8*z^4 - z^4/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 48385] -> 
  3 - a^(-2) - a^2 + z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 5*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48386] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48387] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48388] -> 
  -a^(-8) + 2/a^4 + z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^4 - z^2/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48389] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 3*z^4 + z^4/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48390] -> 4 - a^(-4) - 2*a^2 + 3*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^4*z^2 - 2*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48391] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 15*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48392] -> 
  -3 + 2/a^2 + 2*a^2 - 14*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 21*z^4 + z^4/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 + 14*a^2*z^4 - 
   2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48393] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 - z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (11*z^2)/a^2 - a^2*z^2 - 5*z^4 - (7*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 
   5*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48394] -> 1 + a^(-6) - 2/a^4 + a^(-2) + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48395] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48396] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2/a^12 - (2*z^2)/a^10 + z^2/a^6 + 
   z^2/a^4 + z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + 
   z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48397] -> 3 - a^(-2) - a^2 + 2*a^2*z^2 - a^4*z^2 - 
   5*z^4 + z^4/a^4 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48398] -> 
  -1 + a^(-4) - 2/a^2 + 6*a^2 - 3*a^4 - z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + (7*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48399] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (11*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 48400] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 11*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48401] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   19*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - 25*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (5*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48402] -> 
  -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (5*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48403] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^4*z^2 - 15*z^4 + z^4/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48404] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (6*z^4)/a^6 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48405] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 11*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   z^2/a^2 + 6*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - (8*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48406] -> 3 - a^(-2) - a^2 + 4*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 8*a^2*z^2 + 4*a^4*z^2 + z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   16*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 48407] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 12*z^4 + 
   (2*z^4)/a^2 + 21*a^2*z^4 - 20*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48408] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 + z^2/a^8 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 48409] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   6*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (2*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48410] -> -4/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + z^4/a^8 + (21*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (6*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^2 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48411] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (6*z^4)/a^10 - (14*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (8*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 48412] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 - (2*z^2)/a^14 + (7*z^2)/a^12 - (6*z^2)/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (10*z^4)/a^12 - (8*z^4)/a^10 - 
   (12*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48413] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) + z^2/a^16 - (11*z^2)/a^14 + (5*z^2)/a^12 + (13*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (13*z^4)/a^12 + 
   (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 48414] -> 
  -8 - 2/a^6 + a^(-4) + 7/a^2 + 3*a^2 - 23*z^2 - (5*z^2)/a^6 + (10*z^2)/a^4 + 
   (11*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - (4*z^4)/a^6 + (15*z^4)/a^4 + 
   (4*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (9*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48415] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 9*z^2 + 
   (2*z^2)/a^2 + 17*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48416] -> -7 - 2/a^6 + 2/a^4 + 5/a^2 + 3*a^2 - 
   23*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + (11*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - 
   (3*z^4)/a^6 + (12*z^4)/a^4 + (5*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48417] -> 
  -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (8*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 + 
   (5*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48418] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 12*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 18*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 48419] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48420] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   2*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48421] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 14*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48422] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48423] -> 2/a^6 - 3/a^4 + a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48424] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + z^4/a^8 - 
   (2*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 + 
   (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 48425] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^6 - (6*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 48426] -> 
  2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 - z^2 + 9*a^2*z^2 - 19*a^4*z^2 + 
   22*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 13*a^2*z^4 - 30*a^4*z^4 + 
   27*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 19*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48427] -> -1 + a^(-2) + a^2 - 8*z^2 + z^2/a^6 - 
   z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - (2*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48428] -> 3*a^2 - 3*a^4 + a^6 + z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 5*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 48429] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 - z^6/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48430] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (15*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48431] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 3*z^2 + 7*a^2*z^2 + 5*a^4*z^2 - 
   13*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48432] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48433] -> 
  -3 + 2/a^2 + 2*a^2 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 
   14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48434] -> 2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48435] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 6*z^2 + 
   z^2/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (10*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (10*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48436] -> 2 - a^(-2) + a^2 - a^4 + z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^6 - 
   z^6/a^4 - (10*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 48437] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48438] -> 
  4 - a^(-4) - 2*a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   a^4*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48439] -> 
  -3/a^8 + 4/a^6 + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (9*z^2)/a^6 + 
   z^4/a^12 - (5*z^4)/a^10 + (2*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48440] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 2*z^2 + 6*a^2*z^2 - 8*a^4*z^2 + 
   12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 14*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48441] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - 
   (12*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48442] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 48443] -> 
  a^(-10) - 2/a^8 + a^(-4) + a^(-2) - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48444] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 + z^2/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48445] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - z^4/a^10 + 
   (3*z^4)/a^8 + (6*z^4)/a^6 - (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - (2*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48446] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   12*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 + a^8*z^2 - 6*z^4 + 16*a^2*z^4 - 
   11*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 48447] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   10*a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - 5*z^4 + 14*a^2*z^4 - 
   11*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 - a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 48448] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + 
   a^2 - 16*z^2 + z^2/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 
   20*z^4 - z^4/a^6 - (3*z^4)/a^4 + (20*z^4)/a^2 + 6*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48449] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 + z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 2*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 - z^6/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + 
   z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 48450] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 - 
   z^2/a^12 + (16*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + 
   (9*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 48451] -> 1 + 2/a^8 - 3/a^6 + a^(-2) + 2*z^2 + 
   z^2/a^8 - (6*z^2)/a^4 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48452] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   6*z^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48453] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 - 
   z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48454] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 4*z^4 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 7*a^2*z^4 - 
   a^4*z^4 - 4*z^6 + z^6/a^6 - (7*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 48455] -> 
  -2 + 6*a^2 - 3*a^4 - 6*z^2 - z^2/a^2 + 18*a^2*z^2 - 8*a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 4*z^6 + z^6/a^4 - 
   (7*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 48456] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*z^2 - z^2/a^2 - 5*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + 5*z^4 + z^4/a^2 - 7*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 9*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 48457] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48458] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 4*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48459] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 - z^2 + 
   7*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 - 2*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 48460] -> -3 + a^(-4) - a^(-2) + 7*a^2 - 
   3*a^4 - 5*z^2 + (4*z^2)/a^4 - (8*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 - 
   5*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48461] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + (5*z^2)/a^8 - (6*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - 
   (10*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48462] -> 
  -2 + a^(-2) + 2*a^2 + a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   9*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48463] -> -1 + 2*a^2 + 5*a^4 - 8*a^6 + 3*a^8 - 4*z^2 + 
   10*a^2*z^2 + 6*a^4*z^2 - 19*a^6*z^2 + 8*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   3*a^4*z^4 - 22*a^6*z^4 + 9*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 48464] -> 
  -1 + 4*a^2 - 4*a^6 + 2*a^8 - z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - 6*a^6*z^4 + 
   3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 48465] -> 
  3/a^8 - 7/a^6 + 4/a^4 + a^(-2) - z^2/a^10 + (8*z^2)/a^8 - (13*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (10*z^4)/a^8 - (8*z^4)/a^6 - 
   (10*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (2*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 48466] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48467] -> 
  a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48468] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 - z^2/a^6 + (7*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48469] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48470] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 22*z^2 - 
   (3*z^2)/a^4 + (14*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + 
   (10*z^4)/a^2 + 13*a^2*z^4 - 2*a^4*z^4 - 12*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48471] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 
   2*a^2 - 13*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48472] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48473] -> 1 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 48474] -> 2/a^6 - 4/a^4 + 3/a^2 - a^2 + 
   a^4 - z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 48475] -> 4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 - 
   a^4*z^2 + 16*a^6*z^2 - 13*a^8*z^2 + 6*a^10*z^2 - 4*a^4*z^4 + 18*a^6*z^4 - 
   12*a^8*z^4 - 3*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 - 
   2*a^8*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 48476] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 + 
   a^10*z^2 + a^12*z^2 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 4*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 48477] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 10*z^4 + z^4/a^2 + 
   15*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 + 9*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 48478] -> -4 + a^(-4) - a^(-2) + 9*a^2 - 
   4*a^4 - 9*z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 + 22*a^2*z^2 - 8*a^4*z^2 - 
   11*z^4 + (6*z^4)/a^4 - (11*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48479] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 + z^2/a^4 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48480] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + 
   z^2/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 + (8*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48481] -> -2 - a^(-6) - a^(-4) + 5/a^2 - z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48482] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (12*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 + (8*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48483] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 + 
   4*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   2*a^4*z^4 - 15*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 48484] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^8*z^2 + z^4 - 
   z^4/a^2 + 5*a^2*z^4 - 9*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 48485] -> -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - a^4*z^2 - 
   6*a^6*z^2 + 43*a^8*z^2 - 35*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 - 
   6*a^6*z^4 + 60*a^8*z^4 - 38*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   2*a^6*z^6 + 40*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 48486] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 3*a^4*z^2 + 
   9*a^6*z^2 + 13*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 
   14*a^6*z^4 + 13*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 48487] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - 
   9*a^2*z^2 + 46*a^4*z^2 - 58*a^6*z^2 + 22*a^8*z^2 - 12*a^2*z^4 + 
   68*a^4*z^4 - 102*a^6*z^4 + 34*a^8*z^4 - 6*a^2*z^6 + 48*a^4*z^6 - 
   88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 48488] -> 6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 7*a^2*z^2 + 
   8*a^4*z^2 - 25*a^6*z^2 + 12*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 2*a^4*z^4 - 
   33*a^6*z^4 + 13*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 21*a^6*z^6 + 
   6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 48489] -> -1 + 3*a^2 + 3*a^4 - 7*a^6 + 
   3*a^8 - 4*z^2 + 13*a^2*z^2 + 3*a^4*z^2 - 24*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 4*a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   8*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 48490] -> 
  -1 + 5*a^2 - 2*a^4 - 3*a^6 + 2*a^8 + z^2 - z^2/a^2 + 9*a^2*z^2 - 
   8*a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   12*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 48491] -> 
  3*a^6 - 3*a^10 + a^12 - a^4*z^2 + 8*a^6*z^2 + 6*a^8*z^2 - 9*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 10*a^6*z^4 + 8*a^8*z^4 - 8*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 8*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 48492] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2 + 6*a^2*z^2 + 2*a^4*z^2 - 17*a^6*z^2 + 
   9*a^8*z^2 - 2*z^4 + 9*a^2*z^4 - 3*a^4*z^4 - 25*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 7*a^2*z^6 - 6*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48493] -> -1 + 5*a^2 - 2*a^4 - 3*a^6 + 2*a^8 - 3*z^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 16*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   5*a^4*z^4 - 25*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 48494] -> 
  -2*a^2 + 5*a^4 + 2*a^6 - 6*a^8 + 2*a^10 - 2*z^2 - 3*a^2*z^2 + 13*a^4*z^2 + 
   7*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 - a^2*z^4 + 17*a^4*z^4 + 
   9*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 12*a^4*z^6 + 
   7*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 48495] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 19*z^4 - (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 48496] -> 
  a^(-2) - a^2 + a^4 - z^2 - z^2/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 
   2*z^4 - z^4/a^4 + (6*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 48497] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + z^4/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 48498] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 
   3/a^2 - 7*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + (17*z^2)/a^4 + (8*z^2)/a^2 - 
   9*z^4 + (3*z^4)/a^8 - (23*z^4)/a^6 + (31*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48499] -> a^(-12) - 6/a^10 + 4/a^8 + 4/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (19*z^2)/a^10 + (20*z^2)/a^8 + (14*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (24*z^4)/a^10 + (35*z^4)/a^8 + (16*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (29*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 48500] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 
   2*a^4 - 7*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 8*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 48501] -> 
  -1 + 7*a^2 - 7*a^4 + a^6 + a^8 - 4*z^2 + 17*a^2*z^2 - 14*a^4*z^2 - 
   8*a^6*z^2 + 7*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 14*a^4*z^4 - 19*a^6*z^4 + 
   9*a^8*z^4 - z^6 + 10*a^2*z^6 - 10*a^4*z^6 - 15*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48502] -> 1 + 2*a^2 - 3*a^4 + a^8 + 2*z^2 - z^2/a^2 + 
   4*a^2*z^2 - 8*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 10*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 48503] -> -6 + a^(-6) - a^(-4) + 2/a^2 + 7*a^2 - 
   2*a^4 - 24*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 19*a^2*z^2 - 
   5*a^4*z^2 - 30*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 20*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48504] -> 
  2 - a^(-8) + a^(-6) - a^2 + 4*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48505] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48506] -> 3 - 2/a^2 + 3*a^2 - 4*a^4 + a^6 - z^2/a^2 + 
   12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 3*z^4 + 15*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - 
   z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 48507] -> 2 + a^(-8) - 5/a^6 + 6/a^4 - 2/a^2 - a^2 + 
   4*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (14*z^2)/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 + z^4/a^8 - (10*z^4)/a^6 + (14*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 48508] -> 
  a^(-12) - 6/a^10 + 6/a^8 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^12 - 
   (12*z^2)/a^10 + (15*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (10*z^4)/a^10 + (15*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48509] -> -2 - a^(-4) + 3/a^2 + 2*a^4 - a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + z^4 - 
   z^4/a^4 + (5*z^4)/a^2 - 8*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 48510] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 2*a^2 + 
   2*a^4 - a^6 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 5*a^4*z^2 - 
   2*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 48511] -> a^(-12) - 2/a^10 - 6/a^8 + 12/a^6 - 4/a^4 + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (3*z^2)/a^8 + (30*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^4)/a^12 - (23*z^4)/a^10 + (25*z^4)/a^8 + (30*z^4)/a^6 - 
   (13*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (27*z^6)/a^8 + (17*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 48512] -> 
  -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - z^2 - a^2*z^2 + 3*a^4*z^2 + 
   16*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 3*a^4*z^4 + 
   21*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48513] -> a^(-12) - 4/a^10 + a^(-8) + 3/a^6 + a^(-4) - 
   a^(-2) + (2*z^2)/a^12 - (11*z^2)/a^10 + (7*z^2)/a^8 + (12*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + 
   (15*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 48514] -> -a^(-10) - 2/a^8 + 4/a^6 + 
   a^(-4) - a^(-2) + z^2/a^12 - (6*z^2)/a^10 + z^2/a^8 + (14*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + 
   (16*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + 
   (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 48515] -> a^(-12) - 4/a^10 + 3/a^8 - 
   2/a^6 + 5/a^4 - 2/a^2 + (2*z^2)/a^12 - (11*z^2)/a^10 + (10*z^2)/a^8 + 
   (2*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + 
   (13*z^4)/a^8 + (8*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - (3*z^6)/a^10 + 
   (8*z^6)/a^8 + (7*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48516] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 17*a^2*z^2 - 19*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 19*a^2*z^4 - 20*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 11*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48517] -> -a^(-14) + 6/a^12 - 11/a^10 + 5/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (18*z^2)/a^12 - (29*z^2)/a^10 + (13*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (36*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (28*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 48518] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 62*z^2 + (10*z^2)/a^4 - (45*z^2)/a^2 - 
   22*a^2*z^2 + 88*z^4 + (12*z^4)/a^4 - (61*z^4)/a^2 - 27*a^2*z^4 + 71*z^6 + 
   (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 48519] -> 8 + a^(-6) - 3/a^4 - a^(-2) - 4*a^2 + 
   22*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 - (2*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 48520] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 6*z^2 + (5*z^2)/a^6 - (22*z^2)/a^4 + 
   (28*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - (23*z^4)/a^4 + 
   (29*z^4)/a^2 - 5*a^2*z^4 + 8*z^6 + z^6/a^6 - (11*z^6)/a^4 + (17*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 48521] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 17*a^2*z^2 - 5*a^4*z^2 - 20*z^4 + 
   z^4/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48522] -> 
  -2/a^18 + 11/a^16 - 20/a^14 + 10/a^12 + 2/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (50*z^2)/a^14 + (33*z^2)/a^12 + (15*z^2)/a^10 + z^2/a^8 + (5*z^4)/a^16 - 
   (39*z^4)/a^14 + (43*z^4)/a^12 + (28*z^4)/a^10 + (4*z^4)/a^8 - 
   (9*z^6)/a^14 + (25*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48523] -> 
  -a^(-18) + 5/a^16 - 7/a^14 - 2/a^12 + 6/a^10 + (5*z^2)/a^16 - 
   (16*z^2)/a^14 - z^2/a^12 + (20*z^2)/a^10 + (5*z^2)/a^8 - (9*z^4)/a^14 + 
   (6*z^4)/a^12 + (23*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + (5*z^6)/a^12 + 
   (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 48524] -> 
  -4 + 2/a^6 - 9/a^4 + 12/a^2 - 14*z^2 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (28*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 19*z^4 + z^4/a^6 - (12*z^4)/a^4 + 
   (28*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (14*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48525] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 + z^2/a^6 - (7*z^2)/a^4 + (19*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   24*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (23*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48526] -> -2/a^14 + 10/a^12 - 17/a^10 + 9/a^8 + 
   a^(-6) - (5*z^2)/a^14 + (26*z^2)/a^12 - (44*z^2)/a^10 + (23*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^4)/a^14 + (30*z^4)/a^12 - (50*z^4)/a^10 + 
   (17*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (34*z^6)/a^10 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 48527] -> 
  -a^(-14) + 4/a^12 - 4/a^10 - 3/a^8 + 5/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (8*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (8*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 48528] -> 
  -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 18*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 19*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48529] -> -8 + a^(-6) - 5/a^4 + 9/a^2 + 
   6*a^2 - 2*a^4 - 18*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (21*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48530] -> 15 + 2/a^4 - 11/a^2 - 3*a^2 - 2*a^4 + 
   32*z^2 + (4*z^2)/a^4 - (23*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + 24*z^4 + 
   (5*z^4)/a^4 - (19*z^4)/a^2 + 8*a^2*z^4 - 4*a^4*z^4 + 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48531] -> 
  6 + a^(-6) - 4/a^4 + a^(-2) - 2*a^2 - a^4 + 11*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 48532] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^4 + 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + 3*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + z^6/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + 
   3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 48533] -> 
  1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 6*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 
   3*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 16*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   11*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48534] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 5*z^2 - 
   z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 48535] -> a^(-6) - a^(-4) + a^2 - 8*z^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + (15*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 48536] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   5*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48537] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48538] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 10*z^2 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 48539] -> 2*a^2 - a^4 - z^2 + (4*z^2)/a^4 - 
   (7*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48540] -> 1 + 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 48541] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48542] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - z^4 + (4*z^4)/a^4 - 
   (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48543] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48544] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48545] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 
   10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48546] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 
   12*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48547] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + (9*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^2)/a^2 - (3*z^4)/a^10 + (6*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 + z^6/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48548] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48549] -> -1 + 2/a^2 - 2*a^4 + 2*a^6 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 48550] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 6*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^8 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 48551] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 + z^2/a^2 - 4*a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 9*a^2*z^4 - 4*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 9*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 48552] -> 
  -1 + 2/a^2 - a^4 + a^8 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   4*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 
   4*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 48553] -> -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - z^2 - 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 48554] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 
   2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 48555] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 13*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 
   20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48556] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (17*z^4)/a^4 + (19*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48557] -> 
  a^(-6) - a^(-4) + a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (7*z^4)/a^6 - (16*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48558] -> -2 - a^(-4) + 3/a^2 + a^2 - 11*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (19*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48559] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   18*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48560] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (16*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48561] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + z^4/a^8 - (9*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48562] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48563] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48564] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 2*z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48565] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 12*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48566] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + z^8/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48567] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^2 - z^4/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48568] -> 1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 - z^2/a^6 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 - 10*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48569] -> -2/a^6 + 3/a^4 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - z^4/a^10 - (2*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - z^8/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - 
   z^10/a^4, Knot[15, Alternating, 48570] -> -2/a^6 + 3/a^4 + z^2/a^12 - 
   z^2/a^10 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + 
   z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48571] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 - 
   (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48572] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48573] -> -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 14*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 48574] -> 
  11 - 5/a^2 - 5*a^2 + 49*z^2 + (6*z^2)/a^4 - (31*z^2)/a^2 - 19*a^2*z^2 + 
   84*z^4 + (9*z^4)/a^4 - (52*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - 
   (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 48575] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (18*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (13*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48576] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 13*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48577] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 48578] -> 
  4 - a^(-4) - 2*a^2 - 2*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 12*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48579] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48580] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48581] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (11*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 48582] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 11*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 
   14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48583] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48584] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48585] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   17*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 19*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48586] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   18*z^2 + z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48587] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 9*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 
   18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48588] -> a^(-10) - 2/a^8 + a^(-4) + a^(-2) + 
   z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   z^4/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - (12*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - z^8/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48589] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - 
   z^4/a^10 - (10*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (5*z^6)/a^10 - (3*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48590] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   (6*z^2)/a^10 - (15*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 + z^4/a^10 - (15*z^4)/a^8 + (15*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48591] -> 
  2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + z^2/a^8 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (9*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (11*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48592] -> 1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48593] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 13*z^2 - 
   (6*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 - z^4/a^6 - 
   (5*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 48594] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   4*z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 48595] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (11*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (15*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (10*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48596] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - (5*z^2)/a^8 + 
   (15*z^2)/a^6 - (18*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (15*z^4)/a^6 - (25*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48597] -> -2 + a^(-2) + a^2 + 3*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 12*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (3*z^4)/a^2 - 
   10*a^2*z^4 + 14*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 8*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 48598] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 
   7*z^2 + z^2/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 25*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48599] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 
   21*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48600] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   16*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 17*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   21*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48601] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48602] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 10*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 6*a^2*z^2 + 15*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + 
   (9*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 48603] -> 2 - a^(-2) + a^2 - a^4 + 2*z^2 + 
   (3*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48604] -> 
  1 - a^(-4) + a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 8*a^4*z^2 + 4*a^6*z^2 + 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 6*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 48605] -> -4 - 3/a^4 + 7/a^2 + a^2 - 18*z^2 + 
   (3*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 23*z^4 + 
   (2*z^4)/a^6 - (17*z^4)/a^4 + (34*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (21*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48606] -> 
  -4/a^8 + 6/a^6 - a^(-4) + z^2/a^12 - (5*z^2)/a^10 - z^2/a^8 + 
   (16*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - (9*z^4)/a^10 + (6*z^4)/a^8 + 
   (18*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + (7*z^6)/a^8 + 
   (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 48607] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 24*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 19*a^2*z^2 - 5*a^4*z^2 - 32*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 20*a^2*z^4 - 3*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48608] -> a^2 - 2*a^4 + 5*a^6 - 3*a^8 + 
   4*a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 + 3*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 
   13*a^4*z^4 + 2*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 5*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48609] -> -1 - a^(-4) + 2/a^2 + 4*a^2 - 5*a^4 + 
   2*a^6 - 16*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 19*a^2*z^2 - 16*a^4*z^2 + 
   5*a^6*z^2 - 24*z^4 - z^4/a^4 + (10*z^4)/a^2 + 26*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 17*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48610] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - z^2 - z^2/a^2 + 11*a^2*z^2 - 9*a^4*z^2 - 
   a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 
   2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 48611] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 23*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 12*a^2*z^2 - 2*a^4*z^2 - 27*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (27*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (18*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48612] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 10*z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (23*z^2)/a^4 + (20*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (30*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 48613] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 + z^2 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (9*z^4)/a^6 - (12*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48614] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2 - z^2/a^10 - z^2/a^8 + (10*z^2)/a^6 - 
   (5*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 + z^4/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48615] -> -4/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - 
   (9*z^2)/a^14 - z^2/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (10*z^4)/a^14 + (13*z^4)/a^12 + (29*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (14*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48616] -> 
  1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - z^2/a^10 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   z^4 - (2*z^4)/a^10 + z^4/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48617] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (11*z^2)/a^6 - (17*z^2)/a^4 + (15*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (23*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48618] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 14*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (23*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48619] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 11*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   23*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48620] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48621] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - z^2/a^12 + (5*z^2)/a^10 - 
   (12*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (18*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - (6*z^6)/a^8 + 
   (13*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^4, Knot[15, Alternating, 48622] -> 
  -2 - a^(-4) + 2/a^2 + 5*a^2 - 4*a^4 + a^6 - 7*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48623] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48624] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 + z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 
   16*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + 5*a^2*z^4 - 18*a^4*z^4 + 17*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48625] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (12*z^2)/a^2 - 5*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (16*z^4)/a^4 + (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48626] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (21*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - z^4/a^6 - (5*z^4)/a^4 + (21*z^4)/a^2 + 
   5*a^2*z^4 - 12*z^6 - z^6/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48627] -> 1 + a^(-8) - 2/a^6 + a^(-4) - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - (2*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 48628] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - (6*z^2)/a^8 + (15*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (17*z^4)/a^6 - (20*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48629] -> 
  1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 2*z^2 - (5*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48630] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   4*a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 3*a^10*z^2 - a^2*z^4 + 3*a^4*z^4 + 
   a^6*z^4 - 5*a^8*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 48631] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - z^2 + 
   6*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 14*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 48632] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 + z^2/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 48633] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   11*z^2 + (2*z^2)/a^4 - z^2/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + 2*z^6 + z^6/a^4 - 
   (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 48634] -> 
  -2 + a^(-2) + 3*a^2 - a^4 + z^2/a^6 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 
   5*z^4 + z^4/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 
   5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 48635] -> -3 - a^(-4) + 4/a^2 + a^4 - 
   4*z^2 - z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 - 
   z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48636] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   11*z^2 - z^2/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 
   12*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48637] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 5*z^2 + 18*a^2*z^2 - 20*a^4*z^2 + 
   9*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 20*a^2*z^4 - 20*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 12*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48638] -> -2 - 2/a^8 + 5/a^6 - 7/a^4 + 7/a^2 - 6*z^2 + 
   z^2/a^8 + (4*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48639] -> 
  -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (17*z^2)/a^4 + (15*z^2)/a^2 - 6*z^4 + z^4/a^8 + (2*z^4)/a^6 - 
   (16*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48640] -> 
  -3 + a^(-4) - a^(-2) + 7*a^2 - 3*a^4 - 9*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 
   18*a^2*z^2 - 6*a^4*z^2 - 13*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48641] -> -2 + a^(-8) - a^(-6) - 4/a^4 + 
   7/a^2 - 5*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (13*z^2)/a^4 + (18*z^2)/a^2 - 
   4*z^4 + (5*z^4)/a^8 - (7*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48642] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48643] -> -1 + a^(-2) - 2*a^2 + 6*a^4 - 3*a^6 - 
   2*z^2 + z^2/a^2 - 6*a^2*z^2 + 14*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 
   6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 48644] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 2*z^2 + z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 48645] -> 
  6*a^6 - 8*a^8 + 4*a^10 - a^12 + a^2*z^2 - 4*a^4*z^2 + 20*a^6*z^2 - 
   19*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 13*a^4*z^4 + 26*a^6*z^4 - 
   18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 12*a^4*z^6 + 16*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48646] -> -3 + a^(-2) + 5*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   10*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48647] -> 
  2 - 2/a^2 + 5*a^2 - 5*a^4 + a^6 + 7*z^2 - z^2/a^4 - (4*z^2)/a^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 12*z^4 - z^4/a^4 - (3*z^4)/a^2 + 
   11*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 6*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 48648] -> 
  -6 - 2/a^6 + a^(-4) + 6/a^2 + 2*a^2 - 20*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 + 
   (8*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48649] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^8 + 
   z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (7*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48650] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   3*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + z^4 - 3*a^2*z^4 + 
   a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 48651] -> -10 - 2/a^6 - a^(-4) + 11/a^2 + 
   3*a^2 - 26*z^2 - (5*z^2)/a^6 + (7*z^2)/a^4 + (19*z^2)/a^2 + 9*a^2*z^2 - 
   28*z^4 - (4*z^4)/a^6 + (14*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48652] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 13*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 9*z^4 + z^4/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 + 9*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 3*z^8 - 
   z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 48653] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 10*z^2 + 
   (3*z^2)/a^6 - (16*z^2)/a^4 + (23*z^2)/a^2 + a^2*z^2 - 12*z^4 - 
   (10*z^4)/a^4 + (24*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48654] -> 
  -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 9*a^2*z^2 - 14*a^4*z^2 + 
   15*a^6*z^2 - 5*a^8*z^2 + z^4 + 5*a^2*z^4 - 16*a^4*z^4 + 18*a^6*z^4 - 
   4*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 11*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 
   4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 48655] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 21*z^2 + 
   z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 14*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48656] -> 6 - 3/a^2 - a^2 - a^4 + 9*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (5*z^4)/a^4 - 
   (10*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48657] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 
   2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - 
   a^6*z^4 - 5*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 48658] -> -3 + a^(-8) - 5/a^6 + 3/a^4 + 
   5/a^2 - 6*z^2 + (2*z^2)/a^8 - (13*z^2)/a^6 + (11*z^2)/a^4 + (14*z^2)/a^2 - 
   2*a^2*z^2 - 2*z^4 + z^4/a^8 - (13*z^4)/a^6 + (17*z^4)/a^4 + (18*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + 
   z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 48659] -> 
  a^(-12) - 5/a^10 + 2/a^8 + 5/a^6 - 2/a^4 + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (9*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (14*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48660] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48661] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + z^2/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (2*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48662] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - z^4 + (5*z^4)/a^4 - (9*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48663] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + 
   (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 48664] -> -2*a^2 + 4*a^4 + 4*a^6 - 7*a^8 + 2*a^10 - 
   z^2 - 7*a^2*z^2 + 16*a^4*z^2 + 10*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - 5*a^2*z^4 + 21*a^4*z^4 + 12*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + a^2*z^6 + 13*a^4*z^6 + 8*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 48665] -> 3 - 2/a^2 + 5*a^2 - 8*a^4 + 
   3*a^6 + 14*z^2 - (5*z^2)/a^2 + 3*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 + 
   20*z^4 - (4*z^4)/a^2 - 8*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 11*z^6 - 
   z^6/a^2 - 12*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 
   7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 48666] -> 
  2 - a^(-4) + a^(-2) + a^2 - 4*a^4 + 2*a^6 + 6*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 48667] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 + 
   5*a^6*z^2 + 7*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 3*a^4*z^4 + 8*a^6*z^4 + 
   9*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 7*a^6*z^6 + 
   5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 48668] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 5*a^2*z^2 + 
   2*a^4*z^2 - 13*a^6*z^2 + 7*a^8*z^2 - 2*z^4 + 8*a^2*z^4 - a^4*z^4 - 
   22*a^6*z^4 + 9*a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 48669] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 17*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 
   3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48670] -> 
  a^2 - 3*a^4 + 7*a^6 - 4*a^8 + 4*a^2*z^2 - 10*a^4*z^2 + 15*a^6*z^2 - 
   a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48671] -> -2 + 7*a^2 - 5*a^4 + a^6 - z^2 - z^2/a^4 - 
   z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^4 - 
   (2*z^4)/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 
   6*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 48672] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 18*z^2 - 
   z^2/a^6 + (13*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 + 
   (5*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (7*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48673] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 6*a^2*z^2 + 
   7*a^4*z^2 - 19*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 26*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48674] -> -3 - a^(-4) + 3/a^2 + 5*a^2 - 5*a^4 + 
   2*a^6 - 12*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 12*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48675] -> 
  -1 + 5*a^2 - 3*a^4 - a^6 + a^8 + z^2 - z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 - 
   4*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 48676] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 4*z^2 - z^2/a^2 + a^2*z^2 - 12*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 + 6*z^4 - 7*a^2*z^4 - 11*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 + z^6 + z^6/a^2 - 8*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 48677] -> 
  -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 18*z^2 + (6*z^2)/a^2 + 16*a^2*z^2 - 
   5*a^4*z^2 - 11*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + 
   2*z^6 + z^6/a^4 - (7*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 48678] -> -7 - a^(-4) + 5/a^2 + 5*a^2 - a^4 - 22*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 25*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48679] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 24*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 22*a^2*z^2 - 6*a^4*z^2 - 31*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48680] -> a^6 - a^8 + 6*a^10 - 6*a^12 + a^14 + 
   5*a^6*z^2 + 14*a^10*z^2 - 4*a^12*z^2 - 3*a^14*z^2 + 8*a^6*z^4 - 
   2*a^8*z^4 + 11*a^10*z^4 + 9*a^12*z^4 - 4*a^14*z^4 + 5*a^6*z^6 - 
   7*a^8*z^6 - a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 5*a^8*z^8 - 
   4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 48681] -> a^6 + a^8 + a^10 - 2*a^12 + a^4*z^2 + 
   4*a^6*z^2 + 4*a^8*z^2 + 4*a^10*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 3*a^6*z^4 + 
   a^8*z^4 + 5*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 48682] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 - 2*a^4*z^2 + 
   18*a^6*z^2 - 14*a^8*z^2 + 3*a^10*z^2 + a^12*z^2 - 5*a^4*z^4 + 20*a^6*z^4 - 
   11*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 48683] -> 
  -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - 7*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 - 
   (7*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 - 
   (3*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 48684] -> 2 + 2/a^6 - 5/a^4 + 3/a^2 - 
   a^2 + 3*z^2 + z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 
   4*z^4 + z^4/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48685] -> a^(-8) - 3/a^6 + 4/a^2 - a^2 + z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (9*z^4)/a^6 + (8*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 48686] -> 
  a^(-12) - 3/a^10 - a^(-8) + 4/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (3*z^2)/a^8 + (12*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (12*z^4)/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48687] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48688] -> -1 - 2/a^8 + 3/a^6 - 2/a^4 + 
   3/a^2 - 3*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^8 + z^4/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48689] -> -2 + 6*a^2 - 4*a^4 + 2*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48690] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 - (2*z^2)/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 - (3*z^4)/a^2 + 25*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - 
   (3*z^6)/a^2 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 48691] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 15*z^2 + z^2/a^6 - (10*z^2)/a^4 + (24*z^2)/a^2 + 
   3*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 - (5*z^4)/a^4 + (25*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48692] -> -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 9*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 
   6*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   2*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 48693] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 
   8*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   8*a^2*z^4 - 17*a^4*z^4 + 14*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 48694] -> 
  2*a^4 - 2*a^8 + 2*a^10 - a^12 - a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 + a^12*z^2 - 2*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 
   6*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 - 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 48695] -> -3 + a^(-2) + 8*a^2 - 10*a^4 + 7*a^6 - 
   2*a^8 - 12*z^2 + (3*z^2)/a^2 + 22*a^2*z^2 - 23*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 18*z^4 + (4*z^4)/a^2 + 26*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 48696] -> 
  2*a^2 - 6*a^4 + 12*a^6 - 9*a^8 + 2*a^10 + z^2 + 5*a^2*z^2 - 19*a^4*z^2 + 
   28*a^6*z^2 - 12*a^8*z^2 + a^10*z^2 + 7*a^2*z^4 - 25*a^4*z^4 + 22*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 7*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48697] -> 
  a^(-12) - 3/a^10 + a^(-8) - a^(-6) + 5/a^4 - 2/a^2 + (2*z^2)/a^12 - 
   (9*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (9*z^4)/a^6 + (8*z^4)/a^4 - 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (7*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48698] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + 
   (7*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - z^6/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48699] -> 3 - a^(-8) + a^(-6) + a^(-4) - 
   2/a^2 - a^2 + 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (3*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48700] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 - 2*z^2 + 
   5*a^2*z^2 + a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 
   3*a^4*z^4 - 6*a^6*z^4 - z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 48701] -> a^(-12) - 3/a^10 - a^(-8) + 
   4/a^6 + a^(-4) - a^(-2) + (2*z^2)/a^12 - (10*z^2)/a^10 + (4*z^2)/a^8 + 
   (13*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (12*z^4)/a^8 + (15*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48702] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (10*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48703] -> 2 - a^(-8) + 3/a^6 - 4/a^4 + 2/a^2 - a^2 + 
   4*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (5*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48704] -> a^2 - a^4 + 5*a^6 - 7*a^8 + 4*a^10 - a^12 + 
   3*a^2*z^2 - 7*a^4*z^2 + 17*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 12*a^4*z^4 + 21*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 48705] -> 
  2 - 2/a^2 + 6*a^2 - 7*a^4 + 2*a^6 - (2*z^2)/a^2 + 18*a^2*z^2 - 18*a^4*z^2 + 
   5*a^6*z^2 - (2*z^4)/a^2 + 20*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - 
   (3*z^6)/a^2 + 12*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 48706] -> 
  1 - a^(-4) + a^(-2) + 2*a^2 - 3*a^4 + a^6 + z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 48707] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 9*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48708] -> -1 + a^(-2) + 3*a^2 - 6*a^4 + 6*a^6 - 
   2*a^8 - 7*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 19*a^4*z^2 + 11*a^6*z^2 - 
   a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 48709] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + a^6 + 2*a^8 - a^10 - 6*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 6*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - 7*z^4 + z^4/a^2 + 
   5*a^2*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 48710] -> 2*a^6 - 2*a^8 + 6*a^10 - 7*a^12 + 
   2*a^14 + 3*a^4*z^2 + 5*a^6*z^2 - 9*a^8*z^2 + 21*a^10*z^2 - 12*a^12*z^2 + 
   a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 19*a^8*z^4 + 22*a^10*z^4 - 4*a^12*z^4 - 
   2*a^4*z^6 + 6*a^6*z^6 - 16*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 4*a^6*z^8 - 
   4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 48711] -> 
  2*a^2 - 4*a^4 + 7*a^6 - 5*a^8 + a^10 + z^2 + 4*a^2*z^2 - 14*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 21*a^4*z^4 + 
   17*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48712] -> 
  4 - 2/a^4 + 2/a^2 - 4*a^2 + a^4 + 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (6*z^4)/a^4 + (10*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 48713] -> 
  -5 - 4/a^4 + 9/a^2 + a^2 - 14*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + 
   (23*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - (8*z^4)/a^4 + (22*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + z^6/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48714] -> -1 + a^(-2) + a^2 + a^4 - 3*a^6 + 3*a^8 - 
   a^10 - 5*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 - 6*z^4 + z^4/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + 
   z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 48715] -> 2*a^6 + a^10 - 3*a^12 + a^14 + a^2*z^2 + 
   3*a^4*z^2 + 2*a^8*z^2 + 6*a^10*z^2 - 4*a^12*z^2 + 3*a^4*z^4 - 4*a^6*z^4 - 
   2*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + a^4*z^6 - 2*a^6*z^6 - 4*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 48716] -> 
  2*a^2 - 2*a^4 + 4*a^8 - 4*a^10 + a^12 + 2*z^2 + a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 10*a^8*z^2 - 4*a^10*z^2 - 5*a^4*z^4 - 6*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 48717] -> -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 9*z^2 + 
   (3*z^2)/a^2 + a^2*z^2 + 18*a^4*z^2 - 8*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 22*a^4*z^4 - 8*a^6*z^4 - 7*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 48718] -> 
  3 - 13*a^2 + 20*a^4 - 9*a^6 + 10*z^2 - 44*a^2*z^2 + 63*a^4*z^2 - 
   22*a^6*z^2 + 12*z^4 - 61*a^2*z^4 + 88*a^4*z^4 - 27*a^6*z^4 + 6*z^6 - 
   43*a^2*z^6 + 71*a^4*z^6 - 19*a^6*z^6 + z^8 - 15*a^2*z^8 + 34*a^4*z^8 - 
   7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 48719] -> -3 + a^(-2) + 8*a^4 - 5*a^6 - 9*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 23*a^4*z^2 - 10*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   a^2*z^4 + 27*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 48720] -> 
  -9 + 2/a^2 + 13*a^2 - 4*a^4 - a^6 - 24*z^2 + (5*z^2)/a^2 + 31*a^2*z^2 - 
   3*a^4*z^2 - 4*a^6*z^2 - 24*z^4 + (4*z^4)/a^2 + 32*a^2*z^4 + 5*a^4*z^4 - 
   6*a^6*z^4 - 11*z^6 + z^6/a^2 + 18*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 48721] -> -2 - 2/a^8 + 6/a^6 - 9/a^4 + 8/a^2 - 5*z^2 - 
   z^2/a^8 + (11*z^2)/a^6 - (22*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (23*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48722] -> -4 - 2/a^8 + 7/a^6 - 9/a^4 + 7/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^8 + (11*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 8*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 48723] -> 
  -10 - 2/a^4 + 7/a^2 + 10*a^2 - 5*a^4 + a^6 - 27*z^2 - (5*z^2)/a^4 + 
   (18*z^2)/a^2 + 25*a^2*z^2 - 12*a^4*z^2 + 2*a^6*z^2 - 30*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 + 27*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 18*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 48724] -> 
  -a^(-16) + 6/a^14 - 11/a^12 + 6/a^10 - a^(-8) + 2/a^6 + (4*z^2)/a^14 - 
   (18*z^2)/a^12 + (18*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - (2*z^4)/a^14 - 
   (3*z^4)/a^12 + (17*z^4)/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + 
   (6*z^6)/a^12 + (3*z^6)/a^10 - (9*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - 
   (3*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 48725] -> 6*a^6 - 9*a^8 + 7*a^10 - 4*a^12 + a^14 - 
   2*a^4*z^2 + 18*a^6*z^2 - 18*a^8*z^2 + 10*a^10*z^2 - 3*a^12*z^2 - 
   5*a^4*z^4 + 20*a^6*z^4 - 12*a^8*z^4 + 2*a^12*z^4 - 4*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 - 6*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   3*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 48726] -> -2/a^18 + 12/a^16 - 21/a^14 + 9/a^12 + 
   3/a^10 - z^2/a^18 + (19*z^2)/a^16 - (61*z^2)/a^14 + (42*z^2)/a^12 + 
   (13*z^2)/a^10 + (5*z^4)/a^16 - (57*z^4)/a^14 + (73*z^4)/a^12 + 
   (22*z^4)/a^10 - (3*z^6)/a^16 - (16*z^6)/a^14 + (59*z^6)/a^12 + 
   (18*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 48727] -> 
  -a^(-18) + 6/a^16 - 9/a^14 + 4/a^10 + a^(-8) + (6*z^2)/a^16 - 
   (22*z^2)/a^14 + (5*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (15*z^4)/a^14 + (16*z^4)/a^12 + (28*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (15*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48728] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 + z^2/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 14*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48729] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + (3*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48730] -> -2 - a^(-4) + 3/a^2 + a^2 - z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - z^4/a^4 + (5*z^4)/a^2 - 13*a^2*z^4 + 
   6*a^4*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 48731] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48732] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48733] -> -1 + a^(-2) + a^2 - 5*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + 
   (15*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48734] -> 
  -3 + 2/a^2 + 2*a^2 - 5*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 - (5*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48735] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48736] -> -1 + 5*a^2 - 4*a^4 + a^6 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48737] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 
   8*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   10*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48738] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 5*z^2 + 14*a^2*z^2 - 12*a^4*z^2 + 6*a^6*z^2 - 
   a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 48739] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 17*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48740] -> -2 + 7*a^2 - 5*a^4 + a^6 - 22*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 23*a^2*z^2 - 9*a^4*z^2 + a^6*z^2 - 33*z^4 - 
   (5*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (16*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 48741] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   15*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   18*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (21*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48742] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 14*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (17*z^2)/a^4 + (26*z^2)/a^2 + 3*a^2*z^2 - 23*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (33*z^4)/a^2 + 6*a^2*z^4 - 17*z^6 - (6*z^6)/a^4 + 
   (18*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 48743] -> -2 - a^(-4) + 3/a^2 + a^2 - 9*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 48744] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 2*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 48745] -> -2 + 2/a^2 + a^4 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48746] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   20*z^2 - z^2/a^8 + (5*z^2)/a^6 - (14*z^2)/a^4 + (22*z^2)/a^2 + 6*a^2*z^2 - 
   27*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (30*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - 
   (6*z^6)/a^4 + (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 48747] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   23*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   30*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 48748] -> -4 - a^(-8) + 2/a^6 - 2/a^4 + 
   4/a^2 + 2*a^2 - 19*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + 
   (21*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (29*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + (17*z^6)/a^2 + 
   4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 48749] -> -2 - a^(-4) + 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 
   10*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   3*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 48750] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 4*z^2 + 
   12*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48751] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 22*a^2*z^4 - 20*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48752] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 23*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 
   18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 31*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48753] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4/a^8 + (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48754] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (22*z^4)/a^4 + (14*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48755] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48756] -> 
  -4 + 3/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 22*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 29*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48757] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 - 5*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 
   4*a^2*z^8 - z^10, Knot[15, Alternating, 48758] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + (11*z^2)/a^2 - 
   7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (5*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48759] -> -4 + a^(-6) - 2/a^4 + 4/a^2 + a^2 + a^4 - 
   7*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48760] -> 
  -4 - a^(-4) + 4/a^2 + 3*a^2 - 2*a^4 + a^6 - 17*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 24*z^4 - z^4/a^4 + 
   (11*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48761] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 
   3*a^2 - 15*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 + 
   2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48762] -> -4 + 3/a^2 + 3*a^2 - 2*a^4 + a^8 - 9*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 48763] -> 
  -7 + a^(-6) - 2/a^4 + 5/a^2 + 4*a^2 - 19*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (19*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (16*z^4)/a^4 + (26*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48764] -> 
  -4 + 3/a^2 + a^2 + a^4 - 7*z^2 - z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 48765] -> 
  2*a^2 - a^6 - a^8 + a^10 - z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 12*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48766] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 8*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 48767] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^4*z^2 + a^6*z^2 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 48768] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 48769] -> 
  -4 + 3/a^2 + 2*a^2 - a^6 + a^8 - 9*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48770] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 23*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48771] -> 
  -3 + a^(-6) - 2/a^4 + 4/a^2 - a^2 + 2*a^4 - 2*z^2 - z^2/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 48772] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 4*z^2 + 13*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 7*z^4 + z^4/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48773] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48774] -> 2*a^2 - a^4 - 3*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48775] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48776] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48777] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 
   10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48778] -> 6 - 2/a^2 - 4*a^2 + a^4 + 29*z^2 - 
   (7*z^2)/a^2 - 34*a^2*z^2 + 13*a^4*z^2 + 49*z^4 - (9*z^4)/a^2 - 
   70*a^2*z^4 + 24*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 48779] -> 
  -a^(-8) + a^(-6) + a^(-4) - a^2 + a^4 - z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + (3*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 48780] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 - 
   3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48781] -> 
  -1 + a^(-4) + a^4 - z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - 4*a^2*z^2 + a^4*z^2 + 
   4*z^4 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 48782] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - z^4/a^6 - (4*z^4)/a^4 + (14*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 48783] -> 
  a^(-2) - a^6 + a^8 + z^2 - z^2/a^4 - 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + 4*a^4*z^4 - 3*a^6*z^4 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 48784] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 48785] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 12*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48786] -> 1 + a^(-6) - a^(-4) - a^2 + a^4 + 3*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48787] -> a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48788] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 + 
   2*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4 + 
   6*a^2*z^4 - 13*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 
   12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48789] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48790] -> -1 + 3*a^2 - a^6 - 7*z^2 + 
   z^2/a^2 + 11*a^2*z^2 - 2*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 + 
   3*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 6*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 48791] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 + 
   z^2/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48792] -> 
  1 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48793] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 - a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48794] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 - 2*z^2 + z^2/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 
   10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48795] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48796] -> 
  -3 + a^(-2) + 4*a^2 - a^4 + a^6 - a^8 - 5*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 48797] -> 
  -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (15*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (19*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 48798] -> 
  -2 + a^(-2) + 3*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 8*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 14*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48799] -> -2/a^12 + 4/a^10 - 4/a^8 + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - 
   (9*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + 
   (2*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 48800] -> 
  -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 22*z^2 - z^2/a^4 + (10*z^2)/a^2 + 
   14*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 
   3*a^4*z^4 - 11*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48801] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   5*z^2 + z^2/a^8 + z^2/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48802] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 
   11*z^2 - z^2/a^4 + (3*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48803] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 12*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48804] -> a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 + 
   3*z^2 - z^2/a^4 - 7*a^2*z^2 + 7*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 48805] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 2*z^4 - z^4/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 48806] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 6*a^2*z^2 - 13*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 18*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48807] -> 
  -3 + a^(-2) + 2*a^2 + 4*a^4 - 3*a^6 - 5*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   15*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + (3*z^4)/a^2 - 7*a^2*z^4 + 17*a^4*z^4 - 
   4*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 7*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 48808] -> -8 - 2/a^6 + a^(-4) + 7/a^2 + 3*a^2 - 
   24*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - 
   (3*z^4)/a^6 + (12*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48809] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 7*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48810] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 23*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 20*a^2*z^2 - 5*a^4*z^2 - 27*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 18*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48811] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 8*z^2 + z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 
   a^6*z^2 - 10*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 48812] -> 
  -3 + 9*a^2 - 7*a^4 + 3*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 22*a^2*z^2 - 
   16*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 25*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 48813] -> 
  -4 + a^(-2) + 8*a^2 - 6*a^4 + 3*a^6 - a^8 - 12*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   24*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48814] -> -1 + a^(-2) - 2*a^2 + 5*a^4 - a^6 - a^8 - 
   z^2 + z^2/a^2 - 5*a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 48815] -> a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (19*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (22*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (23*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 48816] -> 8 - 4/a^2 - 2*a^2 - a^4 + 
   14*z^2 + (3*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + 
   (6*z^4)/a^4 - (14*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 48817] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 3*a^4*z^2 + 14*a^6*z^2 - a^8*z^2 - 
   7*a^10*z^2 + 2*a^12*z^2 - 6*a^4*z^4 + 18*a^6*z^4 + 2*a^8*z^4 - 
   7*a^10*z^4 + a^12*z^4 - a^2*z^6 - 2*a^4*z^6 + 12*a^6*z^6 + 3*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 48818] -> -1 + a^(-2) + 3*a^6 - 2*a^8 + z^2/a^2 - 
   4*a^2*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 7*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 48819] -> 
  a^(-12) - 3/a^10 + 2/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (3*z^2)/a^8 + (8*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (7*z^4)/a^8 + (9*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48820] -> 
  -3 + a^(-2) + 5*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 10*z^2 + (3*z^2)/a^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48821] -> a^(-12) - 5/a^10 + 5/a^8 - 
   2/a^6 + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (10*z^2)/a^10 + (12*z^2)/a^8 - 
   z^2/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (12*z^4)/a^8 + (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48822] -> 
  a^2 - 3*a^4 + 8*a^6 - 6*a^8 + a^10 - z^2 + 7*a^2*z^2 - 15*a^4*z^2 + 
   24*a^6*z^2 - 12*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 10*a^2*z^4 - 22*a^4*z^4 + 
   25*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 14*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48823] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 8*z^2 + 
   z^2/a^2 + 21*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + 
   (2*z^4)/a^2 + 25*a^2*z^4 - 22*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48824] -> 
  -a^(-2) + 5*a^2 - 3*a^4 - 5*z^2 + z^2/a^4 - z^2/a^2 + 12*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 8*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 48825] -> 
  a^2 - a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 3*a^2*z^2 - 4*a^4*z^2 + 
   12*a^6*z^2 - 17*a^8*z^2 + 14*a^10*z^2 - 3*a^12*z^2 + 3*a^2*z^4 - 
   10*a^4*z^4 + 15*a^6*z^4 - 23*a^8*z^4 + 12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 48826] -> 
  -1 + a^(-2) + 2*a^2 - 5*a^4 + 7*a^6 - 3*a^8 - 7*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 20*a^4*z^2 + 17*a^6*z^2 - 3*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 - 26*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 48827] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 
   z^2 + 10*a^2*z^2 - 20*a^4*z^2 + 20*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 11*a^2*z^4 - 26*a^4*z^4 + 21*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 15*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 48828] -> 
  -3 + a^(-2) + 4*a^2 - a^6 - 10*z^2 + z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 + 
   3*a^4*z^2 - 2*a^6*z^2 - 11*z^4 + (2*z^4)/a^4 + 4*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 48829] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 33*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (18*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 36*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48830] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 
   3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 
   2*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 7*a^2*z^4 + 6*a^4*z^4 - 
   a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 48831] -> -6 + 2/a^2 + 9*a^2 - 5*a^4 + a^6 - 17*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 48832] -> 
  -5 - a^(-4) + 4/a^2 + 3*a^2 + a^4 - a^6 - 12*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 11*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48833] -> 2 - 2/a^2 + 5*a^2 - 5*a^4 + a^6 + 3*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + 
   (2*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + 
   (4*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48834] -> 6*a^6 - 7*a^8 + 2*a^10 - z^2 + 
   17*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 4*a^4*z^4 + 
   21*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 48835] -> a^2 + 3*a^6 - 6*a^8 + 4*a^10 - a^12 + 
   3*a^2*z^2 - 5*a^4*z^2 + 12*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 11*a^4*z^4 + 17*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 48836] -> 
  -2 + a^(-2) + 5*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 8*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 20*a^4*z^2 + 11*a^6*z^2 - a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48837] -> -1 + a^(-2) + 3*a^4 - 4*a^6 + 3*a^8 - a^10 - 
   4*z^2 + (2*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 
   5*z^4 + z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 48838] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + 2*a^8 - a^10 - 6*z^2 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 7*z^4 + z^4/a^2 + 
   5*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 48839] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 + 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 14*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 + z^4 + 5*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 + 5*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48840] -> 
  a^2 - 2*a^4 + 6*a^6 - 5*a^8 + a^10 + z^2 + 2*a^2*z^2 - 9*a^4*z^2 + 
   17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - z^4 + 6*a^2*z^4 - 17*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48841] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - z^2/a^18 + (16*z^2)/a^16 - 
   (48*z^2)/a^14 + (26*z^2)/a^12 + (19*z^2)/a^10 + (5*z^4)/a^16 - 
   (40*z^4)/a^14 + (41*z^4)/a^12 + (32*z^4)/a^10 + (2*z^4)/a^8 - 
   (10*z^6)/a^14 + (27*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 48842] -> 
  -a^(-18) + 5/a^16 - 6/a^14 - 3/a^12 + 5/a^10 + a^(-8) + (5*z^2)/a^16 - 
   (16*z^2)/a^14 - (2*z^2)/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 - 
   (10*z^4)/a^14 + (7*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + 
   (6*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 48843] -> -2/a^18 + 11/a^16 - 19/a^14 + 8/a^12 + 
   3/a^10 - z^2/a^18 + (16*z^2)/a^16 - (49*z^2)/a^14 + (29*z^2)/a^12 + 
   (18*z^2)/a^10 + (5*z^4)/a^16 - (40*z^4)/a^14 + (42*z^4)/a^12 + 
   (32*z^4)/a^10 + (2*z^4)/a^8 - (10*z^6)/a^14 + (27*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 48844] -> -a^(-18) + 5/a^16 - 6/a^14 - 4/a^12 + 
   7/a^10 + (5*z^2)/a^16 - (16*z^2)/a^14 - (3*z^2)/a^12 + (22*z^2)/a^10 + 
   (4*z^2)/a^8 - (10*z^4)/a^14 + (7*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 + 
   z^4/a^6 + (6*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 48845] -> -a^(-16) + 6/a^14 - 12/a^12 + 9/a^10 - 
   4/a^8 + 3/a^6 + (5*z^2)/a^14 - (22*z^2)/a^12 + (26*z^2)/a^10 - 
   (11*z^2)/a^8 + (9*z^2)/a^6 - (10*z^4)/a^12 + (26*z^4)/a^10 - 
   (13*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 + (9*z^6)/a^10 - (9*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 48846] -> 
  a^(-14) - 5/a^12 + 9/a^10 - 9/a^8 + 4/a^6 + a^(-4) - (5*z^2)/a^12 + 
   (18*z^2)/a^10 - (23*z^2)/a^8 + (14*z^2)/a^6 + z^2/a^4 + (10*z^4)/a^10 - 
   (23*z^4)/a^8 + (16*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (9*z^6)/a^8 + 
   (9*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48847] -> -4 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + a^4 - 
   10*z^2 - z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (18*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 8*z^4 + (4*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - (6*z^6)/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 48848] -> 
  7*a^6 - 12*a^8 + 10*a^10 - 5*a^12 + a^14 - 2*a^4*z^2 + 21*a^6*z^2 - 
   27*a^8*z^2 + 18*a^10*z^2 - 5*a^12*z^2 - 3*a^4*z^4 + 20*a^6*z^4 - 
   23*a^8*z^4 + 10*a^10*z^4 - a^2*z^6 - a^4*z^6 + 9*a^6*z^6 - 9*a^8*z^6 + 
   a^4*z^8 + 3*a^6*z^8, Knot[15, Alternating, 48849] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 8*a^8 + 4*a^10 - a^12 + z^2 + 3*a^2*z^2 - 
   13*a^4*z^2 + 23*a^6*z^2 - 16*a^8*z^2 + 5*a^10*z^2 + z^4 + a^2*z^4 - 
   17*a^4*z^4 + 22*a^6*z^4 - 10*a^8*z^4 + z^6 - 9*a^4*z^6 + 9*a^6*z^6 - 
   a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 48850] -> 
  10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 22*z^2 + (4*z^2)/a^4 - (18*z^2)/a^2 + 
   3*a^2*z^2 - 5*a^4*z^2 + 17*z^4 + (6*z^4)/a^4 - (19*z^4)/a^2 + 10*a^2*z^4 - 
   4*a^4*z^4 + 2*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48851] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (5*z^4)/a^6 + (12*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48852] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48853] -> 1 + 2*z^2 - z^2/a^10 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (4*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48854] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48855] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 + z^2/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 16*a^2*z^4 - 10*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48856] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + 
   (15*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48857] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 48858] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48859] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48860] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (14*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48861] -> a^(-2) - a^2 + a^4 - 2*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48862] -> -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48863] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - z^4/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 4*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 48864] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 + z^4/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48865] -> -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 48866] -> 1 - a^4 + 2*a^6 - a^8 - 5*z^2 + z^2/a^2 + 
   10*a^2*z^2 - 10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 14*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48867] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 + a^4*z^2 - z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 48868] -> -2 + 2/a^2 + a^4 - z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 - a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 48869] -> 
  3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - 3*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 
   11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 5*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48870] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48871] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 - (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   z^6/a^6 - z^6/a^4 - (10*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 48872] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48873] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + 
   (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 48874] -> 2*a^2 - a^4 - 2*z^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48875] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 48876] -> 1 + a^2 - 2*a^4 + a^6 + 4*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 48877] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48878] -> -2 + a^(-4) + 2*a^2 - 9*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + 4*a^2*z^2 - 13*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48879] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (5*z^2)/a^10 + (6*z^2)/a^8 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (16*z^4)/a^8 + (10*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + (9*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 48880] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - (3*z^2)/a^10 + (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48881] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   25*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 20*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 
   31*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 48882] -> -4 + 3/a^2 + a^2 + 2*a^4 - 
   2*a^6 + a^8 - 9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 
   z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48883] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (3*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48884] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 7*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (2*z^4)/a^6 + z^4/a^4 - (9*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^6 - z^6/a^4 - (9*z^6)/a^2 + 
   3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 48885] -> 
  -5 + 3/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 23*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   18*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 30*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48886] -> 
  -4 + 3/a^2 + 2*a^2 - a^6 + a^8 - 10*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 48887] -> -a^(-12) + 2/a^10 - 2/a^8 + 
   2/a^4 - (2*z^2)/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (3*z^4)/a^10 - 
   (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 48888] -> 1 + 2*z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (6*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (3*z^4)/a^6 - (12*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48889] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (2*z^4)/a^10 - (11*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48890] -> -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 
   17*z^2 - z^2/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 
   16*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48891] -> 
  -2 + 6*a^2 - 3*a^4 - 8*z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 20*a^2*z^2 - 
   8*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 
   3*z^6 + z^6/a^4 - (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 48892] -> -1 + 4*a^2 - 2*a^4 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48893] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^2 - 4*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 11*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 10*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 48894] -> -5 + a^(-6) - 3/a^4 + 6/a^2 + 
   a^2 + a^4 - 9*z^2 - z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (14*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48895] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 48896] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 - z^2/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - (3*z^4)/a^4 + 
   (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48897] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48898] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (11*z^4)/a^6 - (19*z^4)/a^4 + (18*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48899] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48900] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 
   a^6*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 48901] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 48902] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 12*a^2*z^2 - 
   10*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 48903] -> 
  5 - 2/a^2 - 2*a^2 + 32*z^2 - (9*z^2)/a^2 - 33*a^2*z^2 + 12*a^4*z^2 + 
   57*z^4 - (12*z^4)/a^2 - 72*a^2*z^4 + 24*a^4*z^4 + 43*z^6 - (6*z^6)/a^2 - 
   68*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 48904] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 12*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 19*a^2*z^2 + 
   8*a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 48905] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48906] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 3*z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + z^4/a^2 + 11*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48907] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48908] -> a^(-2) - a^2 + a^4 - z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 - z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 48909] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 48910] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - 
   a^4 - 19*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (24*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 24*z^4 + (2*z^4)/a^6 - (15*z^4)/a^4 + (33*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (20*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48911] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 
   2*a^4 - 22*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 17*a^2*z^2 - 
   4*a^4*z^2 - 31*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 18*a^2*z^4 - 
   3*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48912] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (19*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48913] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 17*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48914] -> -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48915] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 5*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (15*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (22*z^4)/a^6 + 
   (30*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (26*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 48916] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 11*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (19*z^2)/a^4 + (22*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + 
   (16*z^4)/a^6 - (28*z^4)/a^4 + (26*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (18*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 48917] -> 
  -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + (2*z^2)/a^2 + 
   15*a^2*z^2 - 20*a^4*z^2 + 17*a^6*z^2 - 5*a^8*z^2 - 10*z^4 + z^4/a^2 + 
   23*a^2*z^4 - 27*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 48918] -> -4 + a^(-6) - a^(-4) + a^(-2) + 
   6*a^2 - 2*a^4 - 16*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48919] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 20*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 24*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 31*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 19*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48920] -> 
  1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - (2*z^2)/a^10 + (11*z^2)/a^6 - 
   (9*z^2)/a^4 - z^2/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (10*z^4)/a^6 - 
   (6*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 48921] -> a^(-2) - a^2 + a^4 + 2*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48922] -> -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 19*z^2 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   20*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (27*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48923] -> 
  1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 - 2*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 5*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 48924] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (17*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48925] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 
   20*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 48926] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (18*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48927] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   6*z^2 - z^2/a^8 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 
   8*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48928] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   10*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 48929] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48930] -> -1 - a^(-6) + 3/a^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48931] -> -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48932] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 5*z^2 + z^2/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 
   8*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 
   2*a^2*z^8, Knot[15, Alternating, 48933] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + 
   a^2 - 14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48934] -> 
  1 - a^2 + 2*a^4 - a^6 + z^2/a^6 - z^2/a^4 - 2*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 2*z^4 + z^4/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 48935] -> 
  7 - 3/a^2 - 3*a^2 + 7*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 2*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48936] -> 
  -1 + a^(-2) + 2*a^4 - a^6 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 48937] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 48938] -> 
  -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 10*z^2 - (5*z^2)/a^6 + (15*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 48939] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (10*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (9*z^4)/a^8 + (8*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 48940] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + 
   a^2 - 9*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (22*z^2)/a^4 + (19*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - (31*z^4)/a^4 + 
   (23*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 48941] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 6*a^2*z^2 - 
   12*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 
   12*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 48942] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 18*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   23*a^2*z^2 - 16*a^4*z^2 + 4*a^6*z^2 - 22*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   32*a^2*z^4 - 19*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 20*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 6*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48943] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 4*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48944] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   4*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48945] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - (8*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 48946] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (9*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 48947] -> 1 + a^(-10) - 3/a^8 + 4/a^6 - 
   3/a^4 + a^(-2) + 2*z^2 - (4*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + z^4 - 
   z^4/a^10 - (3*z^4)/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48948] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - 
   (2*z^4)/a^6 - (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 48949] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   5*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (11*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (3*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48950] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 4*a^2*z^2 - 12*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 20*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48951] -> 
  -1 + a^(-2) + a^2 - 5*z^2 + z^2/a^6 + 3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 48952] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - z^4/a^4 + (4*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48953] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 11*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 48954] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 
   3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48955] -> 
  -1 + 3*a^2 - a^6 - 8*z^2 + z^2/a^2 + 12*a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 11*a^2*z^6 + 9*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 48956] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 - z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 48957] -> -a^(-4) + 2/a^2 - z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48958] -> 
  1 + z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 48959] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 + 
   3*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   6*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 
   5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 48960] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 48961] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 
   18*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 48962] -> -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 17*z^4 + 
   (2*z^4)/a^6 - (10*z^4)/a^4 + (20*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48963] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 48964] -> 
  -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 - 9*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48965] -> 
  -5 + a^(-4) + 8*a^2 - 3*a^4 - 13*z^2 + (5*z^2)/a^4 - (6*z^2)/a^2 + 
   20*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + (7*z^4)/a^4 - (12*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 48966] -> 2 - 2/a^4 + 2/a^2 - a^4 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 48967] -> 
  -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   (2*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 48968] -> 
  4 - 2/a^2 + 2*a^2 - 5*a^4 + 2*a^6 + 5*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 
   13*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 48969] -> 3 - a^(-4) + a^(-2) - 2*a^2 - a^4 + a^6 + 
   4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   4*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 48970] -> -3 + a^(-2) + 4*a^2 - 2*a^4 + 3*a^6 - 
   2*a^8 - 9*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48971] -> 
  2 - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 48972] -> 
  a^6 + 6*a^8 - 9*a^10 + 3*a^12 - a^4*z^2 - a^6*z^2 + 31*a^8*z^2 - 
   30*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 - 2*a^6*z^4 + 47*a^8*z^4 - 
   34*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 34*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 48973] -> 
  a^4 + 4*a^8 - 6*a^10 + 2*a^12 - a^4*z^2 + 6*a^6*z^2 + 10*a^8*z^2 - 
   13*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 11*a^6*z^4 + 10*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 48974] -> 
  -a^4 + 3*a^6 + 6*a^8 - 11*a^10 + 4*a^12 - 5*a^4*z^2 + 9*a^6*z^2 + 
   26*a^8*z^2 - 32*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 10*a^6*z^4 + 
   42*a^8*z^4 - 35*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 
   33*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 48975] -> 
  -a^4 + 6*a^6 - 2*a^8 - 4*a^10 + 2*a^12 - a^2*z^2 - 2*a^4*z^2 + 15*a^6*z^2 + 
   a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 2*a^4*z^4 + 17*a^6*z^4 + 
   6*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 48976] -> a^2 + a^4 - a^6 + z^2 + z^2/a^6 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 48977] -> -2*a^2 + 5*a^4 + 2*a^6 - 6*a^8 + 
   2*a^10 - z^2 - 6*a^2*z^2 + 16*a^4*z^2 + 6*a^6*z^2 - 13*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 - 4*a^2*z^4 + 19*a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + a^2*z^6 + 12*a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 
   3*a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 48978] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 + a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 
   7*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - a^4*z^4 + 7*a^6*z^4 + 5*a^8*z^4 - 
   7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 48979] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 37*z^2 + (5*z^2)/a^4 - (26*z^2)/a^2 - 
   15*a^2*z^2 + 73*z^4 + (8*z^4)/a^4 - (46*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + 
   (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 48980] -> -2 + a^(-2) + 3*a^2 - a^4 - z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 48981] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 20*z^2 + z^2/a^6 - (2*z^2)/a^4 - (10*z^2)/a^2 - 
   9*a^2*z^2 + 26*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 48982] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + 3*z^2 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 48983] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + z^4/a^2 - 3*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 7*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 48984] -> -1 + a^(-2) + 2*a^2 - 6*a^4 + 
   9*a^6 - 4*a^8 - 6*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 22*a^4*z^2 + 
   21*a^6*z^2 - 4*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 28*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 48985] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (5*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (10*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 48986] -> 2 - a^(-4) + a^(-2) - a^2 + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 48987] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   5*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 48988] -> -3 + a^(-2) + 7*a^2 - 10*a^4 + 10*a^6 - 
   4*a^8 - 9*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 26*a^4*z^2 + 21*a^6*z^2 - 
   4*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 29*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 48989] -> 
  -1 + a^(-2) + 2*a^4 - 3*a^6 + 4*a^8 - 2*a^10 - 3*z^2 + (2*z^2)/a^2 + 
   3*a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 + a^4*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 48990] -> 
  -3 + 10*a^2 - 8*a^4 + 2*a^6 - 4*z^2 - (2*z^2)/a^2 + 23*a^2*z^2 - 
   20*a^4*z^2 + 5*a^6*z^2 + z^4 - (3*z^4)/a^2 + 23*a^2*z^4 - 20*a^4*z^4 + 
   4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 48991] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + a^6 + 3*a^8 - 
   2*a^10 - 3*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 - 3*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 + a^2*z^4 - 4*a^4*z^4 - 8*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 48992] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 - 
   2*z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 48993] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + z^2/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (2*z^6)/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 48994] -> 
  -1 + 2*a^2 + 3*a^4 - 4*a^6 + a^8 - 4*z^2 + 6*a^2*z^2 + 9*a^4*z^2 - 
   11*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 5*a^4*z^4 - 13*a^6*z^4 + 
   5*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 10*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 48995] -> -1 + 4*a^2 - 2*a^4 - 2*z^2 - z^2/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 48996] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (9*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (5*z^4)/a^10 + (13*z^4)/a^8 - (4*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 48997] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^10 + 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 48998] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (7*z^4)/a^10 - 
   (3*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (7*z^6)/a^10 + z^6/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 48999] -> 
  4 - 2/a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   4*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49000] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 + 5*a^2*z^2 - 15*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49001] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 - (3*z^2)/a^6 + 
   z^2/a^4 + (11*z^2)/a^2 + a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49002] -> 
  1 - a^(-8) + 5/a^6 - 7/a^4 + 3/a^2 + 2*z^2 - z^2/a^8 + (10*z^2)/a^6 - 
   (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - 
   (14*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49003] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - 
   z^2/a^10 + z^2/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (13*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49004] -> -6 + 2/a^6 - 3/a^4 + 4/a^2 + 4*a^2 - 
   16*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49005] -> 
  2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 2*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 - 
   3*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + (3*z^4)/a^2 - 14*a^2*z^4 - 
   6*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 11*a^2*z^6 - 
   6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 49006] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   z^2/a^8 - (8*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49007] -> -2 + 2/a^6 - 3/a^4 + 3/a^2 - 
   a^2 + 2*a^4 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 49008] -> 2 - 2/a^2 + 5*a^2 - 5*a^4 + a^6 + 
   6*z^2 - z^2/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 
   10*z^4 - z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + 5*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 49009] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   z^2/a^8 - (8*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 49010] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 49011] -> 1 + a^(-6) - 2/a^4 + a^(-2) + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^8 - z^4/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49012] -> -a^(-4) + 2/a^2 - 7*z^2 - 
   z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49013] -> 4 - 2/a^2 - a^4 + 25*z^2 - (8*z^2)/a^2 - 
   21*a^2*z^2 + 7*a^4*z^2 + 46*z^4 - (9*z^4)/a^2 - 56*a^2*z^4 + 20*a^4*z^4 + 
   37*z^6 - (5*z^6)/a^2 - 61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 
   33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 49014] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   20*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49015] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + 
   (2*z^2)/a^8 - (3*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (4*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49016] -> 6 - 2/a^2 - 4*a^2 + a^4 + 10*z^2 - z^2/a^4 - 
   13*a^2*z^2 + 5*a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 18*a^2*z^4 + 
   7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49017] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 + (4*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49018] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (16*z^2)/a^8 - z^2/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (27*z^4)/a^8 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 49019] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + (13*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (23*z^4)/a^6 + (30*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49020] -> -5 + a^(-6) - a^(-4) + a^(-2) + 8*a^2 - 
   3*a^4 - 21*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 28*z^4 + z^4/a^6 - (9*z^4)/a^4 + (21*z^4)/a^2 + 21*a^2*z^4 - 
   4*a^4*z^4 - 18*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49021] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49022] -> 
  a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (10*z^2)/a^8 + z^2/a^4 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49023] -> 2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (10*z^4)/a^6 + (12*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 49024] -> 
  -3 + a^(-6) - a^(-4) + a^(-2) + 3*a^2 + a^4 - a^6 - 7*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 4*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 49025] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 5*a^2*z^2 - 20*z^4 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 + 6*a^2*z^4 - 13*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (4*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 49026] -> 
  -5 + a^(-4) + a^(-2) + 6*a^2 - 3*a^4 + a^6 - 10*z^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - z^4 - (5*z^4)/a^2 + 
   9*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 - z^6/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 49027] -> 
  -2 + a^(-6) - 2/a^4 + 3/a^2 + a^4 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49028] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 - z^2/a^6 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 + z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49029] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   7*z^2 + (2*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 5*z^6 + z^6/a^6 - 
   (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 49030] -> -1 - a^(-2) + 7*a^2 - 4*a^4 - 4*z^2 - 
   (2*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 - z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 + 
   25*a^2*z^4 - 9*a^4*z^4 + 4*z^6 + z^6/a^4 - (7*z^6)/a^2 + 16*a^2*z^6 - 
   5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49031] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + 3*z^2 + 
   z^2/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 3*z^4 + 
   (2*z^4)/a^2 - 13*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 11*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 49032] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   6*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 - 7*z^4 + z^4/a^8 - 
   (14*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49033] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 + (4*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   9*z^4 + z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   5*z^6 + z^6/a^6 - (7*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 49034] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   (5*z^2)/a^8 - (9*z^2)/a^6 + (7*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (14*z^4)/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49035] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   (6*z^2)/a^4 - (10*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + 
   (7*z^4)/a^4 - (16*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49036] -> 
  -1 - 2/a^4 + 4/a^2 - 10*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 16*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (16*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49037] -> -2 + a^(-2) + 3*a^2 - a^4 - 16*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 16*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 49038] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49039] -> -6 + a^(-6) - 2/a^4 + 3/a^2 + 8*a^2 - 
   3*a^4 - 20*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 18*a^2*z^2 - 
   5*a^4*z^2 - 24*z^4 + z^4/a^6 - (8*z^4)/a^4 + (18*z^4)/a^2 + 17*a^2*z^4 - 
   3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49040] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49041] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - z^2 + 
   z^2/a^4 - z^2/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 49042] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (6*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (13*z^4)/a^8 + (12*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49043] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49044] -> 7 - 3/a^2 - 3*a^2 + 10*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49045] -> -2/a^6 + 3/a^4 - 7*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 49046] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 - z^4/a^4 + (5*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49047] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49048] -> 1 - a^(-8) + 2/a^6 - a^(-4) - z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 5*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49049] -> a^(-12) - 3/a^10 + a^(-8) + 
   2/a^6 - a^(-4) + a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 + (4*z^2)/a^8 + 
   (5*z^2)/a^6 + z^4/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 + 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49050] -> 2 + a^(-8) - 3/a^6 + 2/a^4 - a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (9*z^4)/a^6 + (9*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 49051] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - 2*z^4 + (3*z^4)/a^8 - (7*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49052] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 49053] -> -11 + a^(-6) - 2/a^4 + 5/a^2 + 
   12*a^2 - 4*a^4 - 31*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 
   25*a^2*z^2 - 6*a^4*z^2 - 34*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 
   22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49054] -> 1 + a^(-6) - a^(-4) - 3*a^2 + 5*a^4 - 
   2*a^6 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 
   9*a^4*z^2 - 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 2*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 49055] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 10*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 49056] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 14*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (16*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49057] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   9*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49058] -> -1 + 5*a^2 - 4*a^4 + a^6 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 
   13*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49059] -> -5/a^8 + 8/a^6 - 2/a^4 + z^2/a^12 - 
   (5*z^2)/a^10 - (2*z^2)/a^8 + (19*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^12 - 
   (8*z^4)/a^10 + (6*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^10 + (7*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49060] -> 
  -1 - 2/a^8 + 5/a^6 - 6/a^4 + 5/a^2 - 3*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (15*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + z^4/a^8 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 49061] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 7*z^2 + z^2/a^8 - z^2/a^6 - 
   (6*z^2)/a^4 + (17*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 - 
   (2*z^4)/a^4 + (21*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49062] -> -2 - a^(-4) + 2/a^2 + 4*a^2 - 
   2*a^4 - 5*z^2 + z^2/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 49063] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - 
   a^4 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   z^4 + z^4/a^6 - (2*z^4)/a^4 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 49064] -> 1 + a^(-4) - a^(-2) - a^2 + 2*a^4 - 2*a^6 + 
   a^8 - 2*z^2 - z^2/a^4 - a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + 
   (4*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + z^6/a^2 - 
   4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 49065] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (7*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49066] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (4*z^2)/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (14*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 49067] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - 
   z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 49068] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 - z^2/a^10 + (5*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49069] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 + z^2/a^16 - (10*z^2)/a^14 + 
   (4*z^2)/a^12 + (10*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + 
   (11*z^4)/a^12 + (18*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (7*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 49070] -> -a^(-12) + a^(-8) + a^(-4) - (2*z^2)/a^14 + 
   (4*z^2)/a^12 - (3*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 + (2*z^4)/a^8 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 49071] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 2*z^2 + z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - z^4/a^6 + z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49072] -> 1 + a^(-2) - 3*a^2 + 3*a^4 - 2*a^6 + a^8 - 
   z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 
   z^4/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 49073] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + (2*z^4)/a^8 - 
   z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49074] -> 
  -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (3*z^4)/a^10 + (3*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 49075] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - z^4/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (14*z^6)/a^4 - (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49076] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 10*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49077] -> -2/a^10 + 2/a^8 + 3/a^6 - 5/a^4 + 3/a^2 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (6*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - z^6/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49078] -> a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (4*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 + 
   (3*z^4)/a^12 - (20*z^4)/a^10 + (21*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (23*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 49079] -> a^(-12) - 3/a^10 + 2/a^8 - 
   2/a^6 + 4/a^4 - a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 + (6*z^2)/a^8 + 
   (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (4*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49080] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - (3*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49081] -> 
  a^(-12) - 3/a^10 + a^(-8) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (10*z^4)/a^8 + (7*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49082] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 - 
   (2*z^4)/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 49083] -> -3 + a^(-4) + 5*a^2 - 3*a^4 + 
   a^6 - 7*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   z^4/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 49084] -> a^(-14) - 4/a^12 + 4/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - z^2/a^14 - (3*z^2)/a^12 + (9*z^2)/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 - 
   (7*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 49085] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + 
   z^2/a^16 - (10*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (12*z^4)/a^12 + (17*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 49086] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 - (5*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (5*z^4)/a^10 + 
   (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 49087] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 
   3*z^2 + z^2/a^2 - 7*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 12*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 10*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 49088] -> -2 - a^(-6) + 2/a^4 + a^(-2) + 
   a^4 - 2*z^2 - z^2/a^8 + z^2/a^6 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49089] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49090] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 5*z^2 - 
   z^2/a^4 + (11*z^2)/a^2 - 7*z^4 + z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49091] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 49092] -> 
  2/a^8 - 6/a^6 + 5/a^4 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^10 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 + (3*z^6)/a^8 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - z^8/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49093] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + z^4/a^8 - (8*z^4)/a^4 + (4*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49094] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49095] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^6 - 
   (16*z^4)/a^4 + (10*z^4)/a^2 - 3*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + z^8/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49096] -> 
  -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^10 + (2*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49097] -> -a^(-4) + 2/a^2 - 5*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^6 + z^4/a^4 + 
   (5*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49098] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - 
   (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49099] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   6*z^2 + z^2/a^8 - (7*z^2)/a^4 + (16*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49100] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49101] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 8*z^2 + 
   (6*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (2*z^6)/a^6 - (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49102] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 5*z^4 - 
   (4*z^4)/a^4 + z^4/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 49103] -> -1 - a^(-8) + a^(-4) + 2/a^2 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + z^4/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49104] -> -1 + a^(-2) + a^2 - 10*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 7*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 49105] -> -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^10 - z^2/a^8 + (15*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - 
   (2*z^4)/a^10 + (11*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (16*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 49106] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 
   3*z^2 - z^2/a^2 + 4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 10*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49107] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6 + 
   (4*z^6)/a^8 - (8*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49108] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 + z^2/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49109] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (3*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49110] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 3*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49111] -> -2 + 6*a^2 - 3*a^4 - 10*z^2 + z^2/a^2 + 
   16*a^2*z^2 - 4*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 + 9*a^4*z^4 - 
   6*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 10*a^4*z^6 - 4*a^6*z^6 - 
   2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49112] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^2 + 
   11*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   12*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 49113] -> 
  -1 + 3*a^2 - a^6 - 2*z^2 - 4*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 + 3*z^4 - 
   25*a^2*z^4 + 55*a^4*z^4 - 21*a^6*z^4 + 4*z^6 - 29*a^2*z^6 + 61*a^4*z^6 - 
   18*a^6*z^6 + z^8 - 13*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 49114] -> 
  a^2 + a^4 - a^6 - z^2 - z^2/a^2 + 10*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 3*a^2*z^4 + 20*a^4*z^4 - 9*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49115] -> 
  1 - a^2 + 2*a^4 - a^6 - 2*z^2 - a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + 
   z^4/a^2 + 2*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49116] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 8*a^2*z^2 - 
   5*a^4*z^2 + 7*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (8*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49117] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   4*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 3*a^2*z^4 + 12*a^4*z^4 - 
   6*a^6*z^4 - 4*z^6 + z^6/a^2 + 4*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49118] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + 
   z^4/a^8 - (5*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (5*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49119] -> -a^(-4) + 2/a^2 - 6*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49120] -> -2/a^6 + 3/a^4 - z^2/a^10 + (3*z^2)/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (12*z^4)/a^8 - 
   (12*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (18*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49121] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49122] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49123] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 3*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 7*z^4 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49124] -> 
  -a^(-4) + 2/a^2 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   15*z^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49125] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (8*z^4)/a^6 - 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49126] -> -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 49127] -> 3*a^6 - a^8 - a^10 + a^2*z^2 - 3*a^4*z^2 + 
   12*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 - 9*a^4*z^4 + 
   12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49128] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49129] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 
   3*z^2 - z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 + 10*z^4 - (7*z^4)/a^6 + 
   (25*z^4)/a^4 - (24*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (30*z^6)/a^4 - 
   (41*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49130] -> 
  4 - a^(-4) - 2*a^2 + 3*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 
   7*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49131] -> 
  27 + 4/a^4 - 19/a^2 - 11*a^2 + 93*z^2 + (14*z^2)/a^4 - (66*z^2)/a^2 - 
   34*a^2*z^2 + 132*z^4 + (14*z^4)/a^4 - (84*z^4)/a^2 - 42*a^2*z^4 + 
   100*z^6 + (6*z^6)/a^4 - (52*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 49132] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 13*z^2 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 32*z^4 - (8*z^4)/a^2 - 31*a^2*z^4 + 
   11*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 49133] -> -8 - 2/a^4 + 6/a^2 + 8*a^2 - 
   3*a^4 - 9*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^4 + (12*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49134] -> 
  25 + 4/a^4 - 18/a^2 - 10*a^2 + 80*z^2 + (12*z^2)/a^4 - (57*z^2)/a^2 - 
   29*a^2*z^2 + 118*z^4 + (13*z^4)/a^4 - (76*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + 
   (6*z^6)/a^4 - (50*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 49135] -> 8 + 2/a^4 - 8/a^2 + 2*a^2 - 3*a^4 + 22*z^2 + 
   (5*z^2)/a^4 - (22*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 25*z^4 + 
   (4*z^4)/a^4 - (23*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + 16*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 49136] -> 
  -6*a^2 + 22*a^4 - 22*a^6 + 7*a^8 - 17*a^2*z^2 + 67*a^4*z^2 - 71*a^6*z^2 + 
   23*a^8*z^2 - 17*a^2*z^4 + 86*a^4*z^4 - 108*a^6*z^4 + 34*a^8*z^4 - 
   7*a^2*z^6 + 55*a^4*z^6 - 89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 49137] -> -2 + 4*a^2 + 5*a^4 - 10*a^6 + 4*a^8 - 
   5*z^2 + 12*a^2*z^2 + 11*a^4*z^2 - 29*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 + 2*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   7*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49138] -> 
  17 - 6/a^2 - 14*a^2 + 4*a^4 + 48*z^2 - (13*z^2)/a^2 - 49*a^2*z^2 + 
   16*a^4*z^2 + 64*z^4 - (13*z^4)/a^2 - 79*a^2*z^4 + 25*a^4*z^4 + 44*z^6 - 
   (6*z^6)/a^2 - 69*a^2*z^6 + 19*a^4*z^6 + 15*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 49139] -> 6 - 2/a^4 + 2/a^2 - 8*a^2 + 3*a^4 + 12*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 - 23*a^2*z^2 + 9*a^4*z^2 + 5*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 - 27*a^2*z^4 + 10*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 49140] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 4*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (7*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49141] -> 4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + 
   (10*z^2)/a^8 - (43*z^2)/a^6 + (55*z^2)/a^4 - (18*z^2)/a^2 + (12*z^4)/a^8 - 
   (60*z^4)/a^6 + (83*z^4)/a^4 - (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (70*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 49142] -> -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 
   4*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (18*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (19*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49143] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   12*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49144] -> 
  5 - 2/a^2 - 2*a^2 + 20*z^2 + (4*z^2)/a^4 - (15*z^2)/a^2 - 7*a^2*z^2 + 
   45*z^4 + (8*z^4)/a^4 - (35*z^4)/a^2 - 15*a^2*z^4 + 48*z^6 + (5*z^6)/a^4 - 
   (32*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49145] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   19*z^4 - (7*z^4)/a^6 + (34*z^4)/a^4 - (49*z^4)/a^2 + 18*z^6 - 
   (5*z^6)/a^6 + (35*z^6)/a^4 - (60*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49146] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 
   8*z^2 - (2*z^2)/a^6 + (10*z^2)/a^4 - (15*z^2)/a^2 - 3*z^4 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (18*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 49147] -> 
  -4 + 11*a^2 - 7*a^4 + a^6 - 2*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 + 
   6*z^4 - 30*a^2*z^4 + 53*a^4*z^4 - 20*a^6*z^4 + 5*z^6 - 34*a^2*z^6 + 
   61*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 49148] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 5*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + 22*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49149] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 14*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (26*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + z^4/a^4 + (16*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49150] -> 25 + 4/a^4 - 18/a^2 - 10*a^2 + 92*z^2 + 
   (16*z^2)/a^4 - (69*z^2)/a^2 - 33*a^2*z^2 + 134*z^4 + (17*z^4)/a^4 - 
   (92*z^4)/a^2 - 42*a^2*z^4 + 101*z^6 + (7*z^6)/a^4 - (57*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49151] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 46*z^2 + (4*z^2)/a^6 - (6*z^2)/a^4 - 
   (21*z^2)/a^2 - 18*a^2*z^2 + 44*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 - 
   (5*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 49152] -> 5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49153] -> 
  2 - 2*a^2 + a^4 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49154] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 - 
   (2*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49155] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 25*z^2 - 
   (5*z^2)/a^2 - 33*a^2*z^2 + 13*a^4*z^2 + 45*z^4 - (8*z^4)/a^2 - 
   69*a^2*z^4 + 24*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49156] -> 
  -10 - 2/a^4 + 8/a^2 + 6*a^2 - a^4 - 16*z^2 - (3*z^2)/a^4 + (15*z^2)/a^2 - 
   2*a^2*z^2 + 5*a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 16*a^2*z^4 + 
   9*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49157] -> 23 + 4/a^4 - 17/a^2 - 9*a^2 + 77*z^2 + 
   (14*z^2)/a^4 - (59*z^2)/a^2 - 27*a^2*z^2 + 107*z^4 + (14*z^4)/a^4 - 
   (75*z^4)/a^2 - 33*a^2*z^4 + 81*z^6 + (6*z^6)/a^4 - (47*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49158] -> 
  7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 7*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49159] -> 18 - 6/a^2 - 16*a^2 + 5*a^4 + 
   57*z^2 - (15*z^2)/a^2 - 62*a^2*z^2 + 21*a^4*z^2 + 72*z^4 - (14*z^4)/a^2 - 
   93*a^2*z^4 + 29*a^4*z^4 + 46*z^6 - (6*z^6)/a^2 - 75*a^2*z^6 + 20*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49160] -> 
  -2 + 3*a^2 + 7*a^4 - 11*a^6 + 4*a^8 - 5*z^2 + 11*a^2*z^2 + 11*a^4*z^2 - 
   24*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 15*a^2*z^4 + 4*a^4*z^4 - 27*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 49161] -> 4 - 2/a^4 + 3/a^2 - 7*a^2 + 3*a^4 - z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 - 18*a^2*z^2 + 9*a^4*z^2 - 9*z^4 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 23*a^2*z^4 + 10*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49162] -> 
  -9 - 4/a^4 + 11/a^2 + 3*a^2 - 21*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 24*z^4 - (4*z^4)/a^6 + (17*z^4)/a^4 - 
   (4*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49163] -> -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 
   21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 
   23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 
   13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49164] -> 
  -2 + 3*a^2 + 6*a^4 - 9*a^6 + 3*a^8 - 5*z^2 + 9*a^2*z^2 + 15*a^4*z^2 - 
   25*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 14*a^2*z^4 + 8*a^4*z^4 - 28*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 49165] -> 3 - 2/a^4 + 3/a^2 - 5*a^2 + 2*a^4 + 4*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - 14*a^2*z^2 + 6*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 49166] -> 
  -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 6*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (8*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49167] -> -8 - 2/a^4 + 7/a^2 + 6*a^2 - 
   3*a^4 + a^6 - 23*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 14*a^2*z^2 - 
   8*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - z^4/a^4 + (12*z^4)/a^2 + 17*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 14*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49168] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 + 
   z^2 - z^2/a^10 - (7*z^2)/a^8 + (25*z^2)/a^6 - (20*z^2)/a^4 + (6*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (16*z^4)/a^6 - (22*z^4)/a^4 + 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (12*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49169] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 24*z^2 - (3*z^2)/a^4 + (16*z^2)/a^2 + 
   14*a^2*z^2 - 2*a^4*z^2 - 25*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 + 6*a^2*z^4 + 
   2*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49170] -> -8 + 4/a^2 + 8*a^2 - 5*a^4 + 2*a^6 - 
   17*z^2 + (4*z^2)/a^2 + 19*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 23*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49171] -> 
  -4 - a^(-8) + 5/a^6 - 8/a^4 + 7/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (11*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (23*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 49172] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 2*a^8 - 
   6*z^2 + 22*a^2*z^2 - 22*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 4*z^4 - 
   (2*z^4)/a^2 + 21*a^2*z^4 - 16*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + z^6 - 
   z^6/a^2 + 12*a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 49173] -> -5 - a^(-8) + 4/a^6 - 7/a^4 + 8/a^2 + 
   2*a^2 - 12*z^2 - z^2/a^8 + (8*z^2)/a^6 - (17*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49174] -> 2*a^4 + a^6 - 4*a^8 + 3*a^10 - a^12 + 
   2*a^4*z^2 + 9*a^6*z^2 - 12*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - a^2*z^4 - 
   a^4*z^4 + 11*a^6*z^4 - 12*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   8*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 49175] -> -2*a^4 + 5*a^6 + 4*a^8 - 9*a^10 + 3*a^12 - 
   9*a^4*z^2 + 20*a^6*z^2 + 13*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 7*a^4*z^4 + 26*a^6*z^4 + 17*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 16*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 49176] -> 25 + 4/a^4 - 18/a^2 - 10*a^2 + 
   76*z^2 + (12*z^2)/a^4 - (55*z^2)/a^2 - 27*a^2*z^2 + 106*z^4 + 
   (13*z^4)/a^4 - (71*z^4)/a^2 - 33*a^2*z^4 + 81*z^6 + (6*z^6)/a^4 - 
   (46*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49177] -> 
  4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + (10*z^2)/a^8 - (48*z^2)/a^6 + 
   (67*z^2)/a^4 - (23*z^2)/a^2 + (12*z^4)/a^8 - (64*z^4)/a^6 + (96*z^4)/a^4 - 
   (30*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (76*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 49178] -> 
  -3 + 2/a^8 - 7/a^6 + 4/a^4 + 5/a^2 - 9*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (13*z^2)/a^4 + (15*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (15*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49179] -> 
  -4*a^6 + 19*a^8 - 20*a^10 + 6*a^12 - 4*a^4*z^2 - 4*a^6*z^2 + 53*a^8*z^2 - 
   46*a^10*z^2 + 9*a^12*z^2 - 8*a^4*z^4 + 3*a^6*z^4 + 64*a^8*z^4 - 
   42*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 8*a^6*z^6 + 41*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49180] -> 
  9 - 4/a^2 - 4*a^2 + 36*z^2 + (4*z^2)/a^4 - (22*z^2)/a^2 - 14*a^2*z^2 + 
   70*z^4 + (8*z^4)/a^4 - (44*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - 
   (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49181] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 
   16*a^2*z^2 - 7*a^4*z^2 + 5*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49182] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 80*z^2 + 
   (16*z^2)/a^4 - (64*z^2)/a^2 - 28*a^2*z^2 + 121*z^4 + (17*z^4)/a^4 - 
   (88*z^4)/a^2 - 38*a^2*z^4 + 95*z^6 + (7*z^6)/a^4 - (56*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49183] -> 
  7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 19*z^2 + (7*z^2)/a^4 - (24*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 22*z^4 + (5*z^4)/a^4 - (26*z^4)/a^2 + 16*a^2*z^4 - 
   9*a^4*z^4 + 15*z^6 + z^6/a^4 - (12*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 
   6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49184] -> 19 + 4/a^4 - 15/a^2 - 7*a^2 + 43*z^2 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - (24*z^2)/a^2 - 16*a^2*z^2 + 41*z^4 + 
   (4*z^4)/a^6 - (15*z^4)/a^4 - (8*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 49185] -> 
  5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (4*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49186] -> 19 - 6/a^2 - 18*a^2 + 6*a^4 + 67*z^2 - 
   (17*z^2)/a^2 - 77*a^2*z^2 + 27*a^4*z^2 + 89*z^4 - (17*z^4)/a^2 - 
   120*a^2*z^4 + 38*a^4*z^4 + 56*z^6 - (7*z^6)/a^2 - 95*a^2*z^6 + 
   25*a^4*z^6 + 17*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49187] -> 
  5 - 2/a^4 + 3/a^2 - 9*a^2 + 4*a^4 + 8*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 - 
   31*a^2*z^2 + 14*a^4*z^2 - z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 - 37*a^2*z^4 + 
   14*a^4*z^4 - 8*z^6 - z^6/a^4 + (10*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49188] -> -4 + 12*a^2 - 8*a^4 + a^8 - 8*z^2 + 
   30*a^2*z^2 - 26*a^4*z^2 + 4*a^6*z^2 + 2*a^8*z^2 - 5*z^4 + 28*a^2*z^4 - 
   29*a^4*z^4 - 2*a^6*z^4 + 5*a^8*z^4 - z^6 + 12*a^2*z^6 - 17*a^4*z^6 - 
   8*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49189] -> 
  -9 - 4/a^4 + 12/a^2 + 2*a^4 - 33*z^2 - (8*z^2)/a^4 + (34*z^2)/a^2 - 
   2*a^2*z^2 + 7*a^4*z^2 - 38*z^4 - (5*z^4)/a^4 + (32*z^4)/a^2 - 11*a^2*z^4 + 
   9*a^4*z^4 - 22*z^6 - z^6/a^4 + (13*z^6)/a^2 - 13*a^2*z^6 + 5*a^4*z^6 - 
   7*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49190] -> -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 
   26*z^2 + z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (25*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49191] -> a^(-10) - 4/a^8 + 7/a^6 - 7/a^4 + 4/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + 
   (8*z^2)/a^2 + z^4/a^10 - (8*z^4)/a^8 + (19*z^4)/a^6 - (22*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (11*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 49192] -> -4 + 11*a^2 - 7*a^4 + a^6 - 
   20*z^2 + (4*z^2)/a^2 + 32*a^2*z^2 - 11*a^4*z^2 - a^6*z^2 - 23*z^4 + 
   (4*z^4)/a^2 + 33*a^2*z^4 - 5*a^6*z^4 - 11*z^6 + z^6/a^2 + 18*a^2*z^6 + 
   8*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 6*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49193] -> 
  -2 - 2/a^8 + 7/a^6 - 9/a^4 + 6/a^2 + a^2 - 8*z^2 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (23*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (12*z^4)/a^6 - (26*z^4)/a^4 + (17*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49194] -> 
  -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 13*z^2 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 19*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   23*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49195] -> -9 + 2/a^6 - 5/a^4 + 8/a^2 + 
   6*a^2 - a^4 - 20*z^2 + z^2/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^6*z^2 - 14*z^4 - (4*z^4)/a^4 + (16*z^4)/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 7*z^6 + (5*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 49196] -> -7 - a^(-4) + 5/a^2 + 7*a^2 - 5*a^4 + 
   2*a^6 - 19*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49197] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - 
   4*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (20*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + 
   (18*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 49198] -> 
  -8 - 2/a^4 + 6/a^2 + 8*a^2 - 3*a^4 - 18*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49199] -> 4*a^6 - 8*a^8 + 11*a^10 - 7*a^12 + 
   a^14 + 12*a^6*z^2 - 17*a^8*z^2 + 23*a^10*z^2 - 6*a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 9*a^6*z^4 - 16*a^8*z^4 + 17*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 11*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 49200] -> 4*a^6 - 3*a^8 + 2*a^2*z^2 - 
   5*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + z^4 + 2*a^2*z^4 - 
   10*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49201] -> -5*a^6 + 21*a^8 - 21*a^10 + 6*a^12 - 
   2*a^4*z^2 - 13*a^6*z^2 + 66*a^8*z^2 - 51*a^10*z^2 + 9*a^12*z^2 - 
   7*a^4*z^4 - 5*a^6*z^4 + 78*a^8*z^4 - 46*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 6*a^6*z^6 + 47*a^8*z^6 - 19*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 15*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 49202] -> -2*a^4 + 5*a^6 + 4*a^8 - 9*a^10 + 3*a^12 - 
   8*a^4*z^2 + 19*a^6*z^2 + 12*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 23*a^6*z^4 + 14*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 13*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 49203] -> 
  4/a^8 - 19/a^6 + 25/a^4 - 9/a^2 + (10*z^2)/a^8 - (55*z^2)/a^6 + 
   (83*z^2)/a^4 - (30*z^2)/a^2 + (12*z^4)/a^8 - (73*z^4)/a^6 + 
   (121*z^4)/a^4 - (39*z^4)/a^2 + (6*z^6)/a^8 - (49*z^6)/a^6 + (95*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 49204] -> -3 + 2/a^8 - 9/a^6 + 8/a^4 + 3/a^2 - 9*z^2 + 
   (5*z^2)/a^8 - (24*z^2)/a^6 + (25*z^2)/a^4 + (10*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (24*z^4)/a^6 + (28*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49205] -> -11 - 4/a^4 + 12/a^2 + 5*a^2 - 2*a^4 + a^6 - 
   32*z^2 - (4*z^2)/a^4 + (22*z^2)/a^2 + 20*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   36*z^4 - (3*z^4)/a^4 + (19*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   20*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 6*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 49206] -> 
  -10 + 2/a^6 - 7/a^4 + 12/a^2 + 4*a^2 - 22*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (22*z^2)/a^4 + (31*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (24*z^4)/a^4 + (36*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49207] -> 
  4 - 2/a^4 + 3/a^2 - 6*a^2 + a^4 + a^6 - 3*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 2*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49208] -> 
  19 - 6/a^2 - 17*a^2 + 4*a^4 + a^6 + 42*z^2 - (11*z^2)/a^2 - 36*a^2*z^2 - 
   5*a^4*z^2 + 9*a^6*z^2 + 36*z^4 - (6*z^4)/a^2 - 34*a^2*z^4 - 20*a^4*z^4 + 
   12*a^6*z^4 + 14*z^6 - z^6/a^2 - 20*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 49209] -> 5 - 2/a^4 + 3/a^2 - 8*a^2 + 2*a^4 + a^6 + 
   7*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - 17*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 + 
   2*z^4 - z^4/a^4 + (7*z^4)/a^2 - 17*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 
   2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 49210] -> -9 - 4/a^4 + 12/a^2 + a^2 + a^6 - 
   12*z^2 - (4*z^2)/a^4 + (18*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - 
   8*z^4 - z^4/a^4 + (10*z^4)/a^2 - 15*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 
   4*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 49211] -> -8 + 2/a^6 - 5/a^4 + 8/a^2 + 
   4*a^2 - 14*z^2 - z^2/a^6 - (2*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 49212] -> 
  7 - 3/a^2 - 3*a^2 + 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 - a^4*z^2 - 3*z^4 + z^4/a^6 - (9*z^4)/a^4 + (14*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49213] -> 4*a^6 - 8*a^8 + 9*a^10 - 3*a^12 - a^14 + 
   16*a^6*z^2 - 26*a^8*z^2 + 27*a^10*z^2 - a^12*z^2 - 4*a^14*z^2 + 
   17*a^6*z^4 - 31*a^8*z^4 + 21*a^10*z^4 + 10*a^12*z^4 - 4*a^14*z^4 + 
   7*a^6*z^6 - 20*a^8*z^6 + a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   7*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 49214] -> 4*a^6 - 8*a^8 + 10*a^10 - 5*a^12 + 
   4*a^4*z^2 + 4*a^6*z^2 - 10*a^8*z^2 + 17*a^10*z^2 - 2*a^12*z^2 - 
   2*a^14*z^2 + 4*a^4*z^4 - a^6*z^4 - 9*a^8*z^4 + 10*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 7*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 49215] -> 
  4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 - z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49216] -> 2*a^2 - 5*a^4 + 9*a^6 - 8*a^8 + 5*a^10 - 
   2*a^12 + 2*z^2 + 2*a^2*z^2 - 10*a^4*z^2 + 19*a^6*z^2 - 16*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 12*a^6*z^4 - 
   15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 5*a^8*z^6 + 
   a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 49217] -> 
  -2 + 8*a^2 - 11*a^4 + 10*a^6 - 4*a^8 - 9*z^2 + (2*z^2)/a^2 + 23*a^2*z^2 - 
   28*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 10*z^4 + z^4/a^2 + 25*a^2*z^4 - 
   32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 18*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49218] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 64*z^2 + 
   (12*z^2)/a^4 - (50*z^2)/a^2 - 22*a^2*z^2 + 93*z^4 + (13*z^4)/a^4 - 
   (67*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49219] -> 
  4 + 2/a^4 - 6/a^2 + 4*a^2 - 3*a^4 + 10*z^2 + (5*z^2)/a^4 - (17*z^2)/a^2 + 
   12*a^2*z^2 - 7*a^4*z^2 + 12*z^4 + (4*z^4)/a^4 - (19*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49220] -> 4*a^2 - 5*a^4 + 2*a^6 - 9*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49221] -> 19 + 4/a^4 - 15/a^2 - 7*a^2 + 
   65*z^2 + (14*z^2)/a^4 - (54*z^2)/a^2 - 22*a^2*z^2 + 94*z^4 + 
   (14*z^4)/a^4 - (71*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + (6*z^6)/a^4 - 
   (46*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49222] -> 
  5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + (5*z^2)/a^4 - (15*z^2)/a^2 + 
   13*a^2*z^2 - 7*a^4*z^2 + 8*z^4 + (4*z^4)/a^4 - (18*z^4)/a^2 + 20*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49223] -> -2 + 7*a^2 - 6*a^4 + 3*a^6 - a^8 - 5*z^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 4*z^4 + 19*a^2*z^4 - 
   15*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 
   9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49224] -> 
  -5 + 2/a^2 + 8*a^2 - 9*a^4 + 8*a^6 - 3*a^8 - 13*z^2 + (3*z^2)/a^2 + 
   22*a^2*z^2 - 26*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   25*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 49225] -> -a^(-12) + 4/a^10 - 6/a^8 + 
   4/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^10 - (5*z^4)/a^8 + 
   (5*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 49226] -> -4 + 11*a^2 - 7*a^4 + a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 19*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   14*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49227] -> 
  5 - 2/a^2 - 3*a^2 + 2*a^4 - a^6 + 6*z^2 - z^2/a^2 - 10*a^2*z^2 + 
   13*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 19*a^4*z^4 - 
   7*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49228] -> -3 + 2/a^6 - 8/a^4 + 10/a^2 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 14*z^4 - (7*z^4)/a^6 + (29*z^4)/a^4 - 
   (37*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - (47*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49229] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 2*z^2 - 10*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49230] -> 
  -4*a^4 + 13*a^6 - 8*a^8 - a^10 + a^12 - 12*a^4*z^2 + 32*a^6*z^2 - 
   3*a^8*z^2 - 11*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 8*a^4*z^4 + 
   32*a^6*z^4 + 10*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 17*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 49231] -> a^(-14) - 4/a^12 + 6/a^10 - 7/a^8 + 5/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - (16*z^2)/a^8 + (15*z^2)/a^6 - 
   z^4/a^14 + (10*z^4)/a^12 - (2*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 49232] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 49233] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + z^2 - 2*a^2*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 8*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49234] -> 4 - a^(-2) - 3*a^2 + a^4 + z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49235] -> a^(-2) - a^2 + a^4 - z^2 - a^2*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49236] -> 
  3 + 2/a^4 - 4/a^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49237] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49238] -> a^2 + a^4 - a^6 - z^2 + z^2/a^2 + 
   2*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 49239] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 2*a^6*z^2 - a^8*z^2 - 
   5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 
   5*z^6 + z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49240] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 - 5*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49241] -> 2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - (2*z^4)/a^4 + (7*z^4)/a^2 - 
   17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49242] -> 1 + 2/a^4 - 3/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49243] -> 1 - z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 4*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49244] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 2*z^2 + 
   z^2/a^2 + z^4/a^8 + z^4/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 49245] -> 2 - 3*a^2 + 3*a^4 - a^6 + 6*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 
   4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 49246] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 
   2*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49247] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 20*z^6 + (3*z^6)/a^4 - (16*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + 
   z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 49248] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - 
   (16*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (22*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49249] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + 2*a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - 
   (17*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - (22*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 49250] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 10*z^2 - (7*z^2)/a^6 + (26*z^2)/a^4 - 
   (27*z^2)/a^2 + 23*z^4 - (9*z^4)/a^6 + (48*z^4)/a^4 - (65*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49251] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   2*z^2 - (4*z^2)/a^6 + (16*z^2)/a^4 - (15*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (19*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (13*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49252] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - (4*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 49253] -> 
  a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + (4*z^2)/a^12 - (19*z^2)/a^10 + 
   (17*z^2)/a^8 + (11*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (28*z^4)/a^10 + 
   (37*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (32*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 49254] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (9*z^4)/a^10 + (9*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49255] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   4*a^4*z^2 + 9*a^6*z^2 + 17*a^8*z^2 - 21*a^10*z^2 + 5*a^12*z^2 - 
   8*a^4*z^4 + 12*a^6*z^4 + 32*a^8*z^4 - 27*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 28*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 49256] -> 1 - 2/a^4 + 3/a^2 - a^2 + z^2 + 
   (2*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - (10*z^4)/a^2 + 
   4*a^2*z^4 - 5*z^6 - z^6/a^6 + (11*z^6)/a^4 - (17*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 49257] -> 4 + 3/a^4 - 6/a^2 + 18*z^2 - (2*z^2)/a^6 + 
   (22*z^2)/a^4 - (41*z^2)/a^2 + 28*z^4 - (5*z^4)/a^6 + (40*z^4)/a^4 - 
   (79*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + (33*z^6)/a^4 - (72*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49258] -> 
  2 - 2*a^2 + a^4 + 7*z^2 - 15*a^2*z^2 + 7*a^4*z^2 + 19*z^4 - (2*z^4)/a^2 - 
   39*a^2*z^4 + 15*a^4*z^4 + 22*z^6 - (3*z^6)/a^2 - 46*a^2*z^6 + 14*a^4*z^6 + 
   11*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49259] -> 
  -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 6*z^2 + (2*z^2)/a^8 - 
   (11*z^2)/a^6 + (15*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - 
   (22*z^4)/a^6 + (30*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (14*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49260] -> a^(-10) - 4/a^8 + a^(-6) + 5/a^4 - 2/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 49261] -> -1 - 3/a^6 + 4/a^4 + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 49262] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 
   4*a^2*z^2 - 11*z^4 - (6*z^4)/a^6 + (13*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49263] -> 2*a^4 - a^8 - 4*z^2 + (2*z^2)/a^2 + 
   3*a^2*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 
   9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49264] -> 3*a^4 - 2*a^6 + z^2/a^4 - z^2/a^2 - 
   a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 49265] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 3*z^2 - z^2/a^2 + 15*a^2*z^2 - 
   9*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + z^4 - z^4/a^2 + 13*a^2*z^4 - 
   13*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49266] -> -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^8 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49267] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 - z^2/a^10 + (8*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (12*z^4)/a^6 - (13*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49268] -> 
  a^(-4) - a^(-2) + a^2 - 3*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49269] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 49270] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - 
   (11*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49271] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^2 + a^2*z^2 + 
   z^4 - z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 49272] -> 
  -3/a^8 + 4/a^6 + z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + z^6 + 
   (3*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49273] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 15*z^2 - (7*z^2)/a^6 + (31*z^2)/a^4 - 
   (38*z^2)/a^2 + 27*z^4 - (9*z^4)/a^6 + (52*z^4)/a^4 - (78*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49274] -> 4*a^2 - 5*a^4 + 2*a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 12*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49275] -> 
  a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + z^2/a^12 - (7*z^2)/a^10 + 
   (4*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (5*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49276] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 30*z^2 - 
   (5*z^2)/a^2 - 44*a^2*z^2 + 18*a^4*z^2 + 45*z^4 - (6*z^4)/a^2 - 
   80*a^2*z^4 + 28*a^4*z^4 + 34*z^6 - (4*z^6)/a^2 - 72*a^2*z^6 + 20*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49277] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 11*z^4 + (3*z^4)/a^4 + z^4/a^2 + 
   12*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 49278] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 6*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (14*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (22*z^4)/a^6 + 
   (30*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + z^6/a^8 - (14*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49279] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 - z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   z^4/a^4 + (18*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (12*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 49280] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 + 8*a^2*z^2 - 21*z^4 - (2*z^4)/a^6 + (12*z^4)/a^4 - 
   (10*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 49281] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - 10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49282] -> 2 - a^(-2) + 2*a^2 - 2*a^4 - a^6 + a^8 + 
   4*z^2 - (2*z^2)/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 2*a^8*z^2 + 4*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 15*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49283] -> 3 + a^(-6) - 4/a^4 + 3/a^2 - 2*a^2 + 9*z^2 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 15*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 49284] -> 
  1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 - (8*z^2)/a^4 + z^4 - (2*z^4)/a^10 + (10*z^4)/a^6 - 
   (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49285] -> 2*a^2 - a^4 - 2*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49286] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + z^4 - 
   (2*z^4)/a^10 + (10*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49287] -> 
  2 - 2*a^2 + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 49288] -> -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 9*z^2 - 
   (4*z^2)/a^6 + (16*z^2)/a^4 - (10*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (15*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49289] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49290] -> 4*a^4 - 4*a^6 + a^8 - 2*z^2 + 3*a^2*z^2 + 
   9*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 7*a^4*z^4 - 
   18*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 49291] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   5*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49292] -> 4 + a^(-6) - 5/a^4 + 4/a^2 - 3*a^2 + 
   17*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 49293] -> 
  -3 + 2/a^2 + 2*a^2 - 8*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (16*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49294] -> -2 + 2/a^2 + a^4 - 5*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 49295] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + z^4 + (9*z^4)/a^4 - 
   (20*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49296] -> 
  -4 + a^(-2) + 5*a^2 + a^4 - 2*a^6 - 13*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 + 
   8*a^4*z^2 - 6*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 15*a^4*z^4 - 
   7*a^6*z^4 - 8*z^6 + z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49297] -> 5 + a^(-6) - 4/a^4 + 2/a^2 - 3*a^2 + 
   13*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - 7*a^2*z^2 + 17*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 49298] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49299] -> 3*a^2 - 3*a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^2 + a^2*z^4 - 
   8*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49300] -> -1 - 2/a^4 + 4/a^2 - 3*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - 
   (11*z^4)/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49301] -> 2 - a^(-2) + a^2 - a^4 + z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49302] -> -1 - 2/a^4 + 5/a^2 - 2*a^2 + a^6 - 10*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + 
   (3*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49303] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^2 - a^4 + a^6 - 6*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 + 2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49304] -> 
  -2 + 6*a^2 - 3*a^4 - 3*z^2 - z^2/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^2 + 14*a^2*z^4 - 16*a^4*z^4 + a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49305] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 4*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49306] -> a^2 + a^6 - a^8 + z^2/a^4 - z^2/a^2 + 
   a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 
   2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 49307] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49308] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - z^4 + 
   z^4/a^8 + z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (7*z^6)/a^4 + (4*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49309] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 49310] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - 11*z^4 - z^4/a^6 - (2*z^4)/a^4 + (11*z^4)/a^2 - 
   a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 49311] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 10*z^2 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 49312] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 49313] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + z^2 - (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (14*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + 
   (14*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 49314] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   3*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (15*z^4)/a^6 + (5*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49315] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 49316] -> 2 + a^(-6) - a^(-4) - a^(-2) + 
   3*z^2 - z^2/a^10 + (7*z^2)/a^6 - (8*z^2)/a^4 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49317] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (12*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49318] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (11*z^2)/a^8 + (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^4)/a^12 + (2*z^4)/a^10 - (13*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 49319] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 
   4*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49320] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 3*z^2 - 5*a^2*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 
   5*z^4 - 12*a^2*z^4 - a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 
   10*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 49321] -> a^2 + a^6 - a^8 - 3*z^2 + (2*z^2)/a^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49322] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (16*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 49323] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49324] -> 
  -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49325] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   8*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + (21*z^2)/a^4 + (8*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (41*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49326] -> 4 - 2/a^2 - a^4 + 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49327] -> 4 - 6*a^2 + 3*a^4 + 22*z^2 - 
   (2*z^2)/a^2 - 41*a^2*z^2 + 18*a^4*z^2 + 40*z^4 - (5*z^4)/a^2 - 
   79*a^2*z^4 + 28*a^4*z^4 + 33*z^6 - (4*z^6)/a^2 - 72*a^2*z^6 + 20*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49328] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 - 9*z^2 - z^2/a^4 + (9*z^2)/a^2 - 11*a^2*z^2 + 
   8*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (13*z^4)/a^2 - 20*a^2*z^4 + 
   10*a^4*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49329] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   7*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + (21*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (24*z^4)/a^6 + (35*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49330] -> 2 - a^(-2) - a^2 + 3*a^4 - 2*a^6 - 
   3*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49331] -> -2 - a^(-4) + 3/a^2 + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + a^2*z^2 - 4*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 - z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49332] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   (3*z^2)/a^8 - (8*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (15*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49333] -> -2 + 7*a^2 - 5*a^4 + a^6 - (2*z^2)/a^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 17*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   11*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49334] -> -1 - a^(-6) + 2/a^4 + a^2 - 6*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49335] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49336] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - 
   z^2/a^10 - z^2/a^8 + (12*z^2)/a^6 - (15*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49337] -> 
  a^(-2) - a^2 + a^4 - 5*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49338] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 6*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 49339] -> 5 - 3/a^2 + a^2 - 2*a^4 + 10*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 5*z^4 + 
   (9*z^4)/a^4 - (21*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49340] -> 
  1 + z^2 + z^2/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49341] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (2*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - (17*z^4)/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 49342] -> 
  1 - 2/a^8 + 2/a^6 + 2/a^4 - 2/a^2 + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   z^4/a^6 - (10*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49343] -> -2/a^6 + 3/a^4 + 4*z^2 - (5*z^2)/a^6 + 
   (16*z^2)/a^4 - (12*z^2)/a^2 + 14*z^4 - (6*z^4)/a^6 + (31*z^4)/a^4 - 
   (38*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (28*z^6)/a^4 - (46*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49344] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 19*z^2 - (5*z^2)/a^2 - 20*a^2*z^2 + 7*a^4*z^2 + 
   32*z^4 - (6*z^4)/a^2 - 43*a^2*z^4 + 15*a^4*z^4 + 28*z^6 - (4*z^6)/a^2 - 
   47*a^2*z^6 + 14*a^4*z^6 + 12*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49345] -> 
  -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 4*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 + (5*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + 
   (24*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (24*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49346] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + (10*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49347] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (3*z^4)/a^6 + (17*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 49348] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   z^2/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (6*z^4)/a^10 + (7*z^4)/a^8 + (7*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49349] -> 
  9*a^8 - 12*a^10 + 4*a^12 - 4*a^4*z^2 + 4*a^6*z^2 + 32*a^8*z^2 - 
   34*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 8*a^6*z^4 + 46*a^8*z^4 - 
   36*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 9*a^6*z^6 + 34*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49350] -> 
  3 - 4*a^2 + 2*a^4 + 17*z^2 - (2*z^2)/a^2 - 30*a^2*z^2 + 13*a^4*z^2 + 
   36*z^4 - (5*z^4)/a^2 - 66*a^2*z^4 + 24*a^4*z^4 + 32*z^6 - (4*z^6)/a^2 - 
   66*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49351] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 + 7*z^2 + z^2/a^4 - (7*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 25*z^4 + (3*z^4)/a^4 - (19*z^4)/a^2 + 10*a^2*z^4 - 
   8*a^4*z^4 + 26*z^6 + z^6/a^4 - (14*z^6)/a^2 + 9*a^2*z^6 - 5*a^4*z^6 + 
   12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 49352] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (13*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (18*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49353] -> 
  -a^(-4) + 2/a^2 + 9*z^2 - z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 35*z^4 + 
   (2*z^4)/a^4 - (17*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + (3*z^6)/a^4 - 
   (22*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49354] -> 
  2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 7*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 7*z^6 - 
   (3*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 49355] -> 2 + a^(-4) - 2/a^2 + 7*z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (17*z^2)/a^2 + 15*z^4 - (5*z^4)/a^6 + 
   (27*z^4)/a^4 - (42*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - 
   (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49356] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49357] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - 2*a^2*z^2 + 
   13*a^6*z^2 + 2*a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   18*a^6*z^4 + 5*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   12*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 49358] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 16*a^2*z^2 + 8*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 49359] -> 
  2 - a^(-2) + a^2 - a^4 + 7*z^2 + z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 49360] -> 
  3 - a^(-2) - a^2 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + a^2*z^2 - 2*a^4*z^2 + 
   z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49361] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - 
   (9*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49362] -> -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 49363] -> 1 - 2/a^4 + 3/a^2 - a^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 49364] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - z^2/a^12 + (5*z^2)/a^10 - (10*z^2)/a^8 + (14*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + (21*z^4)/a^6 - 
   (19*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^8 + (14*z^6)/a^6 - (14*z^6)/a^4 + 
   (3*z^6)/a^2 + (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 49365] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 12*a^2*z^2 - 
   16*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 5*z^4 + 18*a^2*z^4 - 
   23*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49366] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 3*z^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 5*z^4 + z^4/a^2 + 8*a^2*z^4 - 
   2*a^4*z^4 - 2*a^6*z^4 - 5*z^6 + z^6/a^2 + 5*a^2*z^6 + 6*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49367] -> 4 - a^(-4) - 2*a^2 + 3*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - a^4*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49368] -> 2*a^4 - 3*a^6 + 7*a^8 - 7*a^10 + 2*a^12 - 
   2*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + 15*a^8*z^2 - 14*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 + 14*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 49369] -> -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 
   13*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49370] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 11*z^2 - 
   z^2/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 20*z^4 - (2*z^4)/a^6 + 
   (13*z^4)/a^4 - (15*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (12*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49371] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 12*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49372] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 
   5/a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 - 
   2*a^2*z^2 - z^4 + z^4/a^8 - (7*z^4)/a^6 + z^4/a^4 + (18*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 49373] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2 - z^2/a^4 + z^2/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + 2*a^2*z^4 - 2*a^4*z^4 + 
   7*z^6 - (3*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 49374] -> 
  -a^(-4) + 2/a^2 - 9*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   15*z^4 + z^4/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49375] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 9*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (16*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49376] -> -2/a^6 + 3/a^4 + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49377] -> 2 - 3*a^2 + 3*a^4 - a^6 + 8*z^2 - 
   (2*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 10*z^4 - (3*z^4)/a^2 - 
   8*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49378] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 
   4*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49379] -> 
  3*a^2 - 3*a^4 + a^6 - 9*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 49380] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 
   3*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49381] -> 3 - a^(-4) + 2/a^2 - 6*a^2 + 3*a^4 - 4*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 16*a^2*z^2 + 9*a^4*z^2 - 12*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 22*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49382] -> 
  2 + 3/a^4 - 5/a^2 + a^2 - 4*z^2 - z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + (9*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49383] -> 3*a^6 - 2*a^8 + a^10 - a^12 - a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + a^12*z^2 - 4*a^4*z^4 + 17*a^6*z^4 - 
   8*a^8*z^4 - 5*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 - 
   7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 49384] -> 
  4*a^6 - 4*a^8 + 2*a^10 - a^12 + 2*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 6*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 49385] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 14*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 18*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 49386] -> 
  7*a^8 - 8*a^10 + 2*a^12 - 2*a^4*z^2 - 2*a^6*z^2 + 35*a^8*z^2 - 
   28*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 - a^6*z^4 + 52*a^8*z^4 - 
   32*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 36*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49387] -> 
  9 - 2/a^2 - 10*a^2 + 4*a^4 + 40*z^2 - (7*z^2)/a^2 - 59*a^2*z^2 + 
   24*a^4*z^2 + 62*z^4 - (9*z^4)/a^2 - 107*a^2*z^4 + 37*a^4*z^4 + 44*z^6 - 
   (5*z^6)/a^2 - 92*a^2*z^6 + 25*a^4*z^6 + 15*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 49388] -> 1 - a^(-4) + 3/a^2 - 5*a^2 + 3*a^4 - z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 24*a^2*z^2 + 13*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 34*a^2*z^4 + 14*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49389] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 16*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (16*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 25*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (32*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + 
   (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 49390] -> 7 + a^(-4) - 5/a^2 - a^2 - a^4 + 24*z^2 + 
   (4*z^2)/a^4 - (20*z^2)/a^2 - 5*a^4*z^2 + 39*z^4 + (4*z^4)/a^4 - 
   (28*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 32*z^6 + z^6/a^4 - (16*z^6)/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 49391] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 4*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (21*z^2)/a^4 + z^2/a^2 - 6*z^4 + (3*z^4)/a^8 - (21*z^4)/a^6 + 
   (30*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49392] -> 
  5 + a^(-4) - 4/a^2 - a^4 + 13*z^2 + z^2/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 
   3*a^4*z^2 + 17*z^4 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 49393] -> 
  a^(-12) - 7/a^10 + 7/a^8 + a^(-6) - a^(-4) + (4*z^2)/a^12 - (23*z^2)/a^10 + 
   (28*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + 
   (43*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (33*z^6)/a^8 + (9*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 49394] -> a^(-12) - 6/a^10 + 5/a^8 + 2/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (11*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (9*z^4)/a^10 + (10*z^4)/a^8 + (14*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (10*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49395] -> -1 + 5*a^2 - 3*a^4 - a^6 + a^8 - 3*z^2 + 
   10*a^2*z^2 - 4*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   5*a^4*z^4 - 13*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49396] -> 
  -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 11*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 - 
   13*a^2*z^2 + 9*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   22*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49397] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49398] -> 
  a^(-12) - 5/a^10 + 2/a^8 + 5/a^6 - 2/a^4 + (4*z^2)/a^12 - (21*z^2)/a^10 + 
   (18*z^2)/a^8 + (18*z^2)/a^6 - (9*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + 
   (37*z^4)/a^8 + (22*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (16*z^6)/a^10 + 
   (32*z^6)/a^8 + (15*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 49399] -> a^(-12) - 4/a^10 + 6/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (4*z^2)/a^8 + (17*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (7*z^4)/a^8 + (20*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49400] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 49401] -> 
  -3 - a^(-4) + 4/a^2 + a^2 - a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - 14*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 6*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49402] -> -a^(-8) + 4/a^6 - 4/a^4 + a^(-2) + a^2 - 
   6*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49403] -> a^4 - a^6 + a^8 + 2*a^10 - a^12 - a^14 + 
   3*a^4*z^2 + a^6*z^2 + 11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 
   2*a^6*z^4 - 7*a^8*z^4 + 12*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   a^6*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 49404] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   14*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49405] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49406] -> -1 - a^(-8) + 2/a^6 - a^(-4) + a^(-2) + 
   a^2 - 6*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^8 + (8*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49407] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 49408] -> 
  3*a^2 - 2*a^4 - a^8 + a^10 - 2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 - 
   7*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 
   10*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49409] -> 1 + a^2 - a^4 - a^8 + a^10 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 - 3*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 - 
   a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49410] -> 
  -1 + 3*a^2 - a^6 - z^2 - z^2/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 - z^4/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49411] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (4*z^4)/a^8 + (8*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49412] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 
   3*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 3*a^2*z^4 - 
   6*a^4*z^4 - 4*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49413] -> 
  4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 2*a^2*z^2 - 2*a^4*z^2 + 14*a^6*z^2 - 
   15*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + a^2*z^4 - 9*a^4*z^4 + 18*a^6*z^4 - 
   18*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + 
   a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49414] -> a^2 - a^6 + 3*a^8 - 2*a^10 + z^2 - a^2*z^2 + 
   2*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + z^4 - 2*a^2*z^4 - a^4*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49415] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49416] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49417] -> 2 - a^(-2) + a^2 - a^4 - z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49418] -> 3*a^4 - 2*a^6 - 2*z^2 + 
   5*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^2 + 9*a^2*z^4 - 
   6*a^4*z^4 - a^6*z^4 + a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 6*a^4*z^6 + a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49419] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + z^2/a^2 + 6*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49420] -> 
  a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + z^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   8*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 
   7*a^4*z^4 + 7*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 49421] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 2*z^2 + 
   3*a^2*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 
   5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 49422] -> 
  -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49423] -> a^(-12) - 3/a^10 - 2/a^8 + 7/a^6 - 2/a^4 + 
   z^2/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (26*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49424] -> 
  -6 - a^(-4) + 5/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 23*z^2 - (6*z^2)/a^4 + 
   (17*z^2)/a^2 + 17*a^2*z^2 - 10*a^4*z^2 + a^6*z^2 - 29*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49425] -> -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 49426] -> 
  -2 - 2/a^4 + 5/a^2 - a^4 + a^6 - 14*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 21*z^4 - z^4/a^4 + (11*z^4)/a^2 + 
   16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49427] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + 
   8*a^6*z^2 - 8*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 + 7*a^6*z^4 - 10*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 49428] -> 3*a^2 - 3*a^4 + a^6 + 8*z^2 - (4*z^2)/a^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 - 3*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 + 12*z^6 - (4*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - 
   z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49429] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49430] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - (7*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (8*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49431] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + 6*a^2*z^2 + 
   a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 8*a^4*z^4 - 
   13*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 8*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49432] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - 
   4*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 19*a^2*z^4 - 22*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49433] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 18*a^2*z^2 - 16*a^4*z^2 + 
   4*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49434] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 11*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (13*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 49435] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 
   4*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 
   8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49436] -> 
  a^2 + a^6 - a^8 + z^2/a^4 - z^2/a^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49437] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49438] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49439] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49440] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 6*a^4*z^2 + 3*a^6*z^2 - 8*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49441] -> 2*a^4 - a^8 - 2*z^2 + 
   5*a^2*z^2 + a^6*z^2 - z^4/a^2 + 8*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 49442] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 
   2*a^4*z^2 + 4*a^6*z^2 + 20*a^8*z^2 - 18*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   3*a^4*z^4 + 8*a^6*z^4 + 23*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   8*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 49443] -> -a^2 + 5*a^4 - 3*a^6 - z^2 - a^2*z^2 + 
   12*a^4*z^2 - 8*a^6*z^2 + 2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 9*a^4*z^4 - 
   13*a^6*z^4 + 5*a^8*z^4 - z^6 + 6*a^2*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 49444] -> 6*a^4 - 8*a^6 + 3*a^8 - z^2 + 3*a^2*z^2 + 
   10*a^4*z^2 - 21*a^6*z^2 + 9*a^8*z^2 - 2*z^4 + 8*a^2*z^4 + 2*a^4*z^4 - 
   26*a^6*z^4 + 10*a^8*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 49445] -> -1 + 3*a^2 + 3*a^4 - 7*a^6 + 
   3*a^8 - 3*z^2 + 9*a^2*z^2 + 5*a^4*z^2 - 20*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 
   12*a^2*z^4 - 26*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 
   17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49446] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (2*z^2)/a^4 + 
   (11*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + (9*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (9*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49447] -> a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (10*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (12*z^4)/a^6 + (12*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49448] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) + 
   z^2/a^12 - (8*z^2)/a^10 + (10*z^2)/a^8 + (5*z^2)/a^6 + z^4/a^12 - 
   (6*z^4)/a^10 + (8*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49449] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49450] -> -6 + 2/a^6 - 4/a^4 + 5/a^2 + 5*a^2 - 
   a^4 - 17*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (22*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49451] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 10*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 49452] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 7*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 49453] -> 2 - a^2 - a^4 + a^6 + 6*z^2 - (2*z^2)/a^2 - 
   5*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 4*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49454] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49455] -> 
  -8 - a^(-4) + 6/a^2 + 5*a^2 - 2*a^4 + a^6 - 25*z^2 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 28*z^4 - (2*z^4)/a^4 + 
   (13*z^4)/a^2 + 19*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49456] -> 1 + a^(-10) - 4/a^8 + 3/a^6 + 
   2/a^4 - 2/a^2 + z^2 + z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^4 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 49457] -> 1 - a^(-8) + 3/a^6 - 2/a^4 - 
   a^2 + a^4 - 2*z^2 - z^2/a^8 + (7*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + (4*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 49458] -> 
  -4 - a^(-4) + 4/a^2 + a^2 + 2*a^4 - a^6 - 11*z^2 - z^2/a^6 + (9*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 12*z^4 + (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 + a^6*z^4 - 7*z^6 - (2*z^6)/a^2 - 5*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 49459] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 8*z^2 + 
   (3*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49460] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - z^2 + 4*a^2*z^2 - 8*a^4*z^2 + 11*a^6*z^2 - 
   4*a^8*z^2 + z^4 - 6*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 4*a^2*z^6 - 
   5*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 49461] -> 
  2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 - 5*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 - 
   10*a^2*z^2 + 6*a^4*z^2 - 14*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   13*a^2*z^4 + 7*a^4*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49462] -> 1 + 2/a^4 - 3/a^2 + a^2 - 6*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49463] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 - z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + 
   (22*z^2)/a^4 - (6*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (35*z^4)/a^4 - (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (29*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49464] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (2*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 49465] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 9*z^4 + z^4/a^6 - (5*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 49466] -> -1 + 3*a^2 - a^6 - 2*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^2 + 11*a^2*z^4 - 
   10*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + 
   a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49467] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49468] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + 
   z^4 - z^4/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - 
   z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49469] -> 
  -1 + a^(-8) - 2/a^6 - a^(-4) + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 49470] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49471] -> 
  -a^6 + 11*a^8 - 13*a^10 + 4*a^12 - 2*a^4*z^2 - 5*a^6*z^2 + 45*a^8*z^2 - 
   39*a^10*z^2 + 8*a^12*z^2 - 5*a^4*z^4 - 4*a^6*z^4 + 62*a^8*z^4 - 
   40*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 41*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49472] -> 
  -2*a^2 + 12*a^4 - 14*a^6 + 5*a^8 - 9*a^2*z^2 + 46*a^4*z^2 - 59*a^6*z^2 + 
   22*a^8*z^2 - 12*a^2*z^4 + 68*a^4*z^4 - 102*a^6*z^4 + 34*a^8*z^4 - 
   6*a^2*z^6 + 48*a^4*z^6 - 88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 49473] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 2*z^2 + 
   7*a^2*z^2 + 7*a^4*z^2 - 25*a^6*z^2 + 12*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 
   2*a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49474] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 9*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 49475] -> -1 + 4*a^2 + a^4 - 6*a^6 + 
   3*a^8 - 4*z^2 + 13*a^2*z^2 + 2*a^4*z^2 - 24*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 
   17*a^2*z^4 - 4*a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 
   8*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49476] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 + z^2 - z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 - 
   8*a^6*z^2 + 6*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 12*a^4*z^4 - 
   9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49477] -> 
  8 + a^(-4) - 6/a^2 - 2*a^4 + 26*z^2 + (4*z^2)/a^4 - (21*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 40*z^4 + (4*z^4)/a^4 - (28*z^4)/a^2 + 6*a^2*z^4 - 
   8*a^4*z^4 + 32*z^6 + z^6/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 
   13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 49478] -> 6 - 3/a^2 - a^2 - a^4 + 15*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 18*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49479] -> -2 + a^(-8) - 7/a^6 + 8/a^4 + a^(-2) - 
   7*z^2 + (5*z^2)/a^8 - (25*z^2)/a^6 + (31*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (31*z^4)/a^6 + (45*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49480] -> -4 + a^(-8) - 4/a^6 + 8/a^2 - 12*z^2 + 
   (5*z^2)/a^8 - (21*z^2)/a^6 + (15*z^2)/a^4 + (19*z^2)/a^2 - 13*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (35*z^4)/a^4 + (21*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (32*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49481] -> 2 + a^(-4) - 2/a^2 + z^2 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (11*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (18*z^4)/a^4 - (23*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - 
   (23*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 49482] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 49483] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 32*z^2 - 
   (7*z^2)/a^2 - 42*a^2*z^2 + 16*a^4*z^2 + 50*z^4 - (9*z^4)/a^2 - 
   75*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49484] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 2*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 
   15*a^2*z^2 + 8*a^4*z^2 - 4*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 24*a^2*z^4 + 
   10*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49485] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 11*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 11*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49486] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 8*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (21*z^2)/a^4 + (24*z^2)/a^2 - 9*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (27*z^4)/a^4 + (31*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - 
   (15*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49487] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 - 
   2*a^4*z^2 + 11*a^6*z^2 + 9*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 16*a^6*z^4 + 11*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 49488] -> 
  -1 - 4/a^6 + 6/a^4 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + 
   (14*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (16*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 49489] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - (7*z^2)/a^6 + (14*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 49490] -> -a^(-8) + 2/a^6 - a^(-2) + a^2 - 4*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49491] -> 
  a^(-2) - a^4 + a^6 - 6*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49492] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49493] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49494] -> a^4 - a^6 + 6*a^8 - 7*a^10 + 
   2*a^12 - a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + 17*a^8*z^2 - 16*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 + 7*a^6*z^4 + 19*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 8*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 49495] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 4*a^2*z^2 + 11*a^4*z^2 - 21*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 4*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 49496] -> 2*a^2 - 2*a^6 + a^8 + z^2 - z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49497] -> 3 + 2/a^4 - 4/a^2 + 16*z^2 - (3*z^2)/a^6 + 
   (22*z^2)/a^4 - (37*z^2)/a^2 + 27*z^4 - (6*z^4)/a^6 + (42*z^4)/a^4 - 
   (76*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + (34*z^6)/a^4 - (71*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49498] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 7*z^2 - z^2/a^6 + (8*z^2)/a^4 - (9*z^2)/a^2 + 
   6*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + (12*z^4)/a^4 - (13*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (8*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49499] -> -a^(-4) + 3/a^2 - 2*a^2 + a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49500] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + 4*a^2*z^2 - 
   3*a^4*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49501] -> 
  -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 3*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 49502] -> 
  a^(-12) - 5/a^10 + 3/a^8 + 3/a^6 - a^(-4) + z^2/a^12 - (8*z^2)/a^10 + 
   (7*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (6*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49503] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 - 4*z^4 + z^4/a^10 - (10*z^4)/a^8 + (19*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (13*z^6)/a^6 - 
   (11*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 49504] -> a^(-12) - 3/a^10 - 2/a^8 + 
   7/a^6 - 2/a^4 + z^2/a^12 - (6*z^2)/a^10 - (3*z^2)/a^8 + (22*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (26*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (15*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49505] -> 2 - a^2 - a^4 + a^6 - 3*z^2 + 7*a^2*z^2 - 
   9*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 49506] -> 
  -2 + a^(-4) + 2*a^2 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   (9*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   z^8 + (2*z^8)/a^2, Knot[15, Alternating, 49507] -> 
  1 + 2*z^2 - 2*a^2*z^2 - 3*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 
   z^4 + 3*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   8*a^2*z^6 - 11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49508] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   3*z^2 - z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + z^4/a^8 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49509] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (14*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 49510] -> 
  -5 + 3/a^2 + 3*a^2 - 17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49511] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (24*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 - (6*z^6)/a^8 + (15*z^6)/a^6 - (13*z^6)/a^4 + (3*z^6)/a^2 + 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 49512] -> -1 + a^(-2) + a^2 - 2*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49513] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - z^2/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49514] -> 
  3 - a^(-4) + 2/a^2 - 5*a^2 + a^4 + a^6 + 5*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - 17*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 18*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   9*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49515] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 + z^4/a^8 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49516] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 - 2*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (9*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 49517] -> -1 + a^(-2) + a^2 - 9*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49518] -> 
  a^4 - 2*a^6 + 8*a^8 - 8*a^10 + 2*a^12 - a^2*z^2 + a^4*z^2 + a^6*z^2 + 
   20*a^8*z^2 - 17*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 + 
   19*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + 
   9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 49519] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - z^2 + 
   a^2*z^2 + 13*a^4*z^2 - 18*a^6*z^2 + 7*a^8*z^2 - 2*z^4 + 7*a^2*z^4 + 
   5*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - z^6 + 7*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49520] -> 
  9 - 2/a^2 - 9*a^2 + 2*a^4 + a^6 + 25*z^2 - (5*z^2)/a^2 - 26*a^2*z^2 - 
   6*a^4*z^2 + 9*a^6*z^2 + 26*z^4 - (4*z^4)/a^2 - 31*a^2*z^4 - 20*a^4*z^4 + 
   12*a^6*z^4 + 12*z^6 - z^6/a^2 - 20*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 + 
   2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 49521] -> 1 - a^(-4) + 3/a^2 - 4*a^2 + a^4 + a^6 + 
   2*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 14*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - 
   z^4/a^4 + (6*z^4)/a^2 - 17*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49522] -> -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49523] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 
   6/a^2 - 7*z^2 + z^2/a^10 - (5*z^2)/a^8 + (13*z^2)/a^6 - (20*z^2)/a^4 + 
   (22*z^2)/a^2 - 8*z^4 - (4*z^4)/a^8 + (15*z^4)/a^6 - (28*z^4)/a^4 + 
   (29*z^4)/a^2 - 4*z^6 + (6*z^6)/a^6 - (16*z^6)/a^4 + (19*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49524] -> 
  -4 - a^(-4) + 5/a^2 + a^6 - 5*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 7*a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - 3*z^4 - z^4/a^4 + (6*z^4)/a^2 - 11*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49525] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49526] -> -2 - a^(-8) + 2/a^6 + 2*a^2 - 12*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49527] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 13*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49528] -> 2*a^2 - a^6 - a^8 + a^10 - z^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 6*a^2*z^4 - 
   7*a^4*z^4 + 9*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 
   6*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 49529] -> 3*a^2 - 2*a^4 - a^8 + a^10 - 
   z^2 + 4*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   2*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49530] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 49531] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + 
   a^6 - 12*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 12*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 19*a^2*z^4 - 13*a^4*z^4 + 
   3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49532] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - z^2 + 4*a^2*z^2 - 6*a^4*z^2 + 
   12*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 6*a^2*z^4 - 8*a^4*z^4 + 
   15*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49533] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   2*a^2*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49534] -> 
  a^2 - a^4 + 4*a^8 - 3*a^10 + 2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 15*a^8*z^2 - 
   6*a^10*z^2 + 3*a^2*z^4 - 4*a^4*z^4 - 7*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 49535] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + 2*a^2*z^2 - 
   5*a^4*z^2 + 19*a^6*z^2 - 17*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   14*a^4*z^4 + 25*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 49536] -> -2 + a^(-8) - 5/a^6 + 4/a^4 + 
   3/a^2 - 7*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + (13*z^2)/a^4 + (10*z^2)/a^2 - 
   9*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + (23*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49537] -> a^(-12) - 5/a^10 + 3/a^8 + 3/a^6 - a^(-4) + 
   (4*z^2)/a^12 - (18*z^2)/a^10 + (16*z^2)/a^8 + (12*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (30*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 49538] -> a^(-12) - 5/a^10 + 4/a^8 + 
   a^(-6) + (2*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 + 
   z^2/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 + (11*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49539] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 
   2*a^2 - 13*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (11*z^2)/a^2 + 
   5*a^2*z^2 - 16*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (16*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49540] -> -a^2 + 4*a^4 - a^6 - a^8 + z^2 - 5*a^2*z^2 + 
   8*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 9*a^2*z^4 + 4*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 49541] -> 2*a^4 - a^8 - a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 49542] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 
   7*z^2 - z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 
   9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49543] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49544] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 
   6*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 22*a^4*z^2 + 19*a^6*z^2 - 5*a^8*z^2 - 
   9*z^4 + z^4/a^2 + 20*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 
   6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 49545] -> 
  a^6 - a^8 + 4*a^10 - 2*a^12 - a^14 + 5*a^6*z^2 + 2*a^8*z^2 + 9*a^10*z^2 + 
   2*a^12*z^2 - 4*a^14*z^2 + 8*a^6*z^4 - a^8*z^4 + 7*a^10*z^4 + 11*a^12*z^4 - 
   4*a^14*z^4 + 5*a^6*z^6 - 7*a^8*z^6 - 2*a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + 
   a^6*z^8 - 5*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 49546] -> a^6 - a^8 + 5*a^10 - 4*a^12 + a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 + 10*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 49547] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 - z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49548] -> 
  a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 4*a^2*z^2 - 8*a^4*z^2 + 
   16*a^6*z^2 - 15*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 17*a^4*z^4 + 
   22*a^6*z^4 - 17*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 13*a^4*z^6 + 
   15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49549] -> 3*a^6 - 3*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   4*a^4*z^2 + 4*a^6*z^2 - 9*a^8*z^2 + 17*a^10*z^2 - 9*a^12*z^2 + a^14*z^2 + 
   2*a^4*z^4 + 5*a^6*z^4 - 18*a^8*z^4 + 19*a^10*z^4 - 4*a^12*z^4 - 
   2*a^4*z^6 + 6*a^6*z^6 - 15*a^8*z^6 + 6*a^10*z^6 - a^4*z^8 + 4*a^6*z^8 - 
   4*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 49550] -> 
  1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 - 2*z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 
   10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 15*a^2*z^4 - 20*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49551] -> 
  1 - a^(-12) + 3/a^10 - 3/a^8 + a^(-6) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - 
   (11*z^2)/a^8 + (9*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + z^4 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + 
   (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49552] -> 2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + 
   2*a^4*z^2 + 6*a^6*z^2 - 7*a^8*z^2 + 16*a^10*z^2 - 3*a^12*z^2 - 
   2*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 11*a^8*z^4 + 14*a^10*z^4 + 
   3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 49553] -> 2/a^4 - 2/a^2 + a^4 - 5*z^2 - a^2*z^2 + 
   a^4*z^2 - 7*z^4 - z^4/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - 2*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 49554] -> 
  -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 49555] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^10 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49556] -> 
  2*a^2 - a^4 - 3*z^2 + 7*a^2*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 
   12*a^2*z^4 + 3*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 
   6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49557] -> 
  3*a^2 - 3*a^4 + a^6 - z^2 - z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + a^8*z^2 + 
   z^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 49558] -> 3*a^2 - 3*a^4 + 2*a^6 - 2*a^8 + a^10 - z^2 + 
   4*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   4*a^2*z^4 - 6*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 49559] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 17*z^2 - 
   (11*z^2)/a^6 + (41*z^2)/a^4 - (46*z^2)/a^2 + 28*z^4 - (13*z^4)/a^6 + 
   (65*z^4)/a^4 - (86*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49560] -> 
  -2/a^6 + 5/a^4 - 3/a^2 + a^2 - 13*z^2 - (5*z^2)/a^6 + (16*z^2)/a^4 - 
   (6*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - 
   (10*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 49561] -> 
  -5 - a^(-8) + 2/a^6 - 3/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (17*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49562] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (10*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (16*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 49563] -> -a^(-4) + 2/a^2 + 4*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49564] -> 1 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + (2*z^4)/a^4 + 12*a^2*z^4 - 3*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49565] -> -1 + a^(-2) + a^2 - z^2 - z^2/a^6 + 
   z^2/a^4 + a^2*z^2 - a^4*z^2 + 2*z^4 + z^4/a^6 + z^4/a^4 - (2*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 49566] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 2*z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 
   13*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 11*a^4*z^4 + 
   16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49567] -> a^2 - a^4 - a^6 + 6*a^8 - 4*a^10 + 
   2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 16*a^8*z^2 - 6*a^10*z^2 + 3*a^2*z^4 - 
   4*a^4*z^4 - 7*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49568] -> 
  a^2 - 2*a^4 + 3*a^6 + a^8 - 2*a^10 + 2*a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 + 
   5*a^8*z^2 - 2*a^10*z^2 + z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 49569] -> a^(-12) - 4/a^10 + 2/a^8 + 
   2/a^6 + z^2/a^12 - (6*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (3*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49570] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + 
   (6*z^2)/a^8 - (31*z^2)/a^6 + (46*z^2)/a^4 - (17*z^2)/a^2 + (9*z^4)/a^8 - 
   (52*z^4)/a^6 + (83*z^4)/a^4 - (28*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + 
   (73*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 49571] -> -1 - a^(-6) + 3/a^2 - 8*z^2 + (3*z^2)/a^8 - 
   (11*z^2)/a^6 + (6*z^2)/a^4 + (13*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - 
   (16*z^4)/a^6 + (12*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49572] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 6*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (14*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (15*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49573] -> -1 - 2/a^4 + 4/a^2 - z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 49574] -> 
  a^2 - a^4 + 3*a^6 - 4*a^8 + 4*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   9*a^6*z^2 - 12*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   6*a^4*z^4 + 7*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 49575] -> -3 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + 
   2*a^2 - 7*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 + 
   a^4*z^2 - z^4 - z^4/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49576] -> 
  -7 - a^(-4) + 5/a^2 + 6*a^2 - 3*a^4 + a^6 - 25*z^2 - (5*z^2)/a^4 + 
   (17*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 31*z^4 - (6*z^4)/a^4 + 
   (25*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49577] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 + z^2 + 
   4*a^2*z^2 - 14*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + z^4 + 
   2*a^2*z^4 - 16*a^4*z^4 + 13*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49578] -> 1 + 3*a^2 - 6*a^4 + 4*a^6 - 2*a^8 + a^10 - 
   2*z^2 + 9*a^2*z^2 - 19*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49579] -> 2*a^6 - 3*a^8 + 7*a^10 - 
   6*a^12 + a^14 + a^4*z^2 + 7*a^6*z^2 - 8*a^8*z^2 + 19*a^10*z^2 - 
   6*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 7*a^6*z^4 - 11*a^8*z^4 + 
   16*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 49580] -> -a^4 + 6*a^6 - 4*a^8 + z^2 + a^2*z^2 - 
   6*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - a^10*z^2 + z^4 + a^2*z^4 - 
   11*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49581] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 11*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 
   3*a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 49582] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 
   a^(-6) + 2*z^2 + (5*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 + 
   (4*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 49583] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (13*z^2)/a^4 + (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (15*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49584] -> -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 7*a^2*z^2 - a^6*z^2 - 11*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 49585] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 6*z^2 + 
   17*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49586] -> 1 + a^(-8) - 3/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (11*z^4)/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49587] -> 
  -2 + 2/a^2 + a^4 - 8*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 
   8*z^4 - z^4/a^6 - (3*z^4)/a^4 + (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^6 + (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 49588] -> 2 + 3/a^6 - 5/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + (8*z^2)/a^6 - (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   z^4/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49589] -> -2 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 + a^2 - 
   10*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49590] -> 1 - a^(-4) + 2/a^2 - a^2 - a^4 + a^6 - 
   8*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 
   17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49591] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49592] -> a^(-6) - a^(-4) + a^2 - 7*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 49593] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 11*z^2 - 
   (8*z^2)/a^6 + (29*z^2)/a^4 - (30*z^2)/a^2 + 23*z^4 - (10*z^4)/a^6 + 
   (51*z^4)/a^4 - (67*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - 
   (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49594] -> 
  -1 - 2/a^6 + 4/a^4 - a^(-2) + a^2 - 10*z^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (9*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49595] -> -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 
   13*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (17*z^4)/a^4 + (20*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49596] -> a^(-6) - a^(-4) + a^(-2) - 2*a^2 + 2*a^4 + 
   z^2 - z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 49597] -> a^(-2) - a^6 + a^8 - 5*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 7*z^4 - 
   z^4/a^4 + (5*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + 
   (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 49598] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (17*z^2)/a^6 + (11*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (26*z^4)/a^6 + (27*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49599] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - z^4/a^6 + (12*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 49600] -> -1 - a^(-8) + 2/a^6 - 2/a^4 + 3/a^2 - a^2 + 
   a^4 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 - z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 49601] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 
   3*a^6 - a^8 - 2*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 - (3*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - a^8*z^4 + 
   3*z^6 + 2*a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49602] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 2*z^2 - 
   z^2/a^2 - a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 - a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49603] -> 
  a^2 - a^4 + 4*a^8 - 3*a^10 + 3*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 13*a^8*z^2 - 
   5*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 - 5*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 6*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 49604] -> 5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + 
   3*a^2*z^2 - 6*a^4*z^2 + 20*a^6*z^2 - 20*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 
   3*a^2*z^4 - 16*a^4*z^4 + 26*a^6*z^4 - 21*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 12*a^4*z^6 + 17*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 49605] -> 
  -2 + a^(-8) - 6/a^6 + 6/a^4 + 2/a^2 - 7*z^2 + (5*z^2)/a^8 - (20*z^2)/a^6 + 
   (20*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (32*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49606] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (11*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^6 + (13*z^6)/a^4 - 
   (20*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 49607] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 + z^4/a^4 - 
   (10*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 49608] -> -2*a^2 + 5*a^4 - 2*a^8 + z^2 - 5*a^2*z^2 + 
   9*a^4*z^2 + 6*a^6*z^2 - 4*a^8*z^2 + 4*z^4 - 9*a^2*z^4 + 4*a^4*z^4 + 
   12*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 9*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 49609] -> -1 + a^2 + 3*a^4 - a^6 - a^8 + 5*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 49610] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   14*z^2 + z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   20*z^4 + z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49611] -> 
  2 - a^(-4) + a^(-2) - a^2 + 26*z^2 + (3*z^2)/a^4 - (16*z^2)/a^2 - 
   11*a^2*z^2 + 63*z^4 + (6*z^4)/a^4 - (38*z^4)/a^2 - 23*a^2*z^4 + 65*z^6 + 
   (4*z^6)/a^4 - (33*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 49612] -> -a^(-4) + 2/a^2 - z^2/a^2 + 6*a^2*z^2 - 
   4*a^4*z^2 + 6*z^4 + (2*z^4)/a^4 - (9*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (8*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49613] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 22*a^4*z^2 + 22*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + 
   z^4/a^2 + 19*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 49614] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 16*z^2 + z^2/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (7*z^4)/a^4 + (17*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49615] -> -1 - a^(-6) + 3/a^2 - 5*z^2 + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (11*z^4)/a^6 + (8*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49616] -> a^2 - a^4 + 4*a^6 - 6*a^8 + 5*a^10 - 
   2*a^12 + 5*a^2*z^2 - 9*a^4*z^2 + 17*a^6*z^2 - 18*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 19*a^4*z^4 + 23*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 49617] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 7*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - (5*z^4)/a^4 + 
   a^2*z^4 - 2*a^4*z^4 + 8*z^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 49618] -> 
  -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49619] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 
   7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + z^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 49620] -> a^2 - a^4 + a^6 + 2*a^8 - 
   2*a^10 + z^2 + a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + z^4 - 2*a^2*z^4 - 
   2*a^4*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49621] -> 
  a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 + 3*a^4*z^2 + 
   4*a^6*z^2 - 5*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + 
   3*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 49622] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 
   3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - (5*z^2)/a^6 + (11*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - z^4/a^6 + (13*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 49623] -> a^2 - a^4 + 3*a^6 - 2*a^8 + z^2 + z^2/a^4 - 
   z^2/a^2 + a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49624] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 2*z^2 - a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   4*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49625] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49626] -> 
  -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49627] -> 
  -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 13*z^2 - (4*z^2)/a^4 + (10*z^2)/a^2 + 
   10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 + 
   17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49628] -> 3*a^2 - a^4 - 2*a^6 + a^10 - 2*z^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   8*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 49629] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 16*z^2 - (8*z^2)/a^6 + (34*z^2)/a^4 - 
   (42*z^2)/a^2 + 27*z^4 - (10*z^4)/a^6 + (55*z^4)/a^4 - (80*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49630] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 
   2*a^2 - 13*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 
   21*z^4 - (3*z^4)/a^6 + (17*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49631] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + (6*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (20*z^4)/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^8 + (14*z^6)/a^6 - (14*z^6)/a^4 + (3*z^6)/a^2 + (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 49632] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49633] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   2*a^2*z^2 - a^4*z^2 + 9*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 9*a^4*z^4 + 14*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 
   9*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 49634] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + 
   a^10 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 4*z^4 + 16*a^2*z^4 - 24*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 
   3*z^6 + 13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49635] -> 
  -2 + 2/a^2 + a^4 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49636] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 
   4*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 19*a^2*z^4 - 21*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49637] -> -2 + a^(-2) + 5*a^2 - 4*a^4 + 
   a^8 - 8*z^2 - z^2/a^4 + (2*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 49638] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (13*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 49639] -> 
  -3 + a^(-2) + 7*a^2 - 6*a^4 + 2*a^6 - 11*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   20*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49640] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 5*a^6*z^2 - 16*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49641] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (12*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (17*z^4)/a^4 + (16*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 49642] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (13*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 49643] -> 
  a^(-12) - 4/a^10 + a^(-8) + 4/a^6 - a^(-4) + z^2/a^12 - (6*z^2)/a^10 + 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   z^4/a^8 + (18*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49644] -> 
  2 + a^(-4) - 2/a^2 + 9*z^2 - (2*z^2)/a^6 + (13*z^2)/a^4 - (21*z^2)/a^2 + 
   18*z^4 - (5*z^4)/a^6 + (30*z^4)/a^4 - (50*z^4)/a^2 + 15*z^6 - 
   (4*z^6)/a^6 + (28*z^6)/a^4 - (52*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49645] -> -1 + a^(-2) + a^2 - 5*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 49646] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 9*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (12*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (15*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49647] -> -a^(-2) + 6*a^2 - 5*a^4 + a^6 - 
   7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 20*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 25*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49648] -> 
  -3 - a^(-8) + 4/a^6 - 4/a^4 + 3/a^2 + a^2 + a^4 - 6*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49649] -> -4 + 2/a^2 + 4*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 
   13*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 
   15*z^4 + (3*z^4)/a^2 + 21*a^2*z^4 - 20*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49650] -> 
  2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + z^2 + 4*a^2*z^2 - 14*a^4*z^2 + 17*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 + 2*z^4 + a^2*z^4 - 17*a^4*z^4 + 14*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49651] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 15*a^2*z^4 + 
   7*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49652] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 3*a^2*z^2 + 11*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 49653] -> 
  2*a^6 - 3*a^8 + 6*a^10 - 4*a^12 + a^4*z^2 + 7*a^6*z^2 - 6*a^8*z^2 + 
   15*a^10*z^2 - 3*a^12*z^2 - 2*a^14*z^2 + 2*a^4*z^4 + 6*a^6*z^4 - 
   9*a^8*z^4 + 13*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - 9*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 49654] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^4*z^2 + 
   8*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 + a^12*z^2 - a^2*z^4 + 9*a^6*z^4 - 
   9*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 49655] -> -4 + 2/a^2 + 4*a^2 - a^4 - 6*z^2 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + (6*z^4)/a^4 - 
   (10*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49656] -> 
  -4 + 3/a^2 + a^2 + a^4 - 11*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 - z^4/a^6 - (4*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (3*z^8)/a^2, Knot[15, Alternating, 49657] -> 
  1 - a^(-8) + 2/a^6 - a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (4*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 49658] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 - (2*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 49659] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 7*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49660] -> 1 + 2*a^2 - 3*a^4 + a^6 - a^8 + 
   a^10 + z^2 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49661] -> 
  a^(-2) - a^4 + a^6 - 8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 
   9*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 18*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49662] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   11*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (18*z^4)/a^4 + (19*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49663] -> a^2 - a^4 + 4*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - 11*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - 2*a^4*z^6 + 4*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 49664] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + 
   a^6 - 13*z^2 - z^2/a^4 + (4*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49665] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - z^2 + 4*a^2*z^2 - 7*a^4*z^2 + 
   9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 6*a^4*z^4 + 
   9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - 
   a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 49666] -> 
  a^4 + 2*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 10*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49667] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 15*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 17*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49668] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 34*z^2 - 
   (7*z^2)/a^2 - 46*a^2*z^2 + 18*a^4*z^2 + 53*z^4 - (9*z^4)/a^2 - 
   83*a^2*z^4 + 28*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 73*a^2*z^6 + 20*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49669] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - 6*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 - 
   13*a^2*z^2 + 8*a^4*z^2 - 12*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   21*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 16*a^2*z^6 + 
   5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49670] -> 3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 22*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + 
   z^4/a^2 + 20*a^2*z^4 - 30*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 49671] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 
   7*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 3*z^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49672] -> 1 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (7*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49673] -> 
  -1 - a^(-8) + 2/a^6 + a^4 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 49674] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 49675] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - z^2/a^4 + (5*z^2)/a^2 + 14*a^2*z^2 - 
   6*a^4*z^2 + a^6*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49676] -> 3 - a^(-2) - a^2 + 2*a^2*z^2 - a^4*z^2 - 
   5*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49677] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 49678] -> a^(-2) - a^4 + a^6 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 49679] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 9*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (18*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49680] -> 
  -1 + a^(-2) + a^4 + a^6 - a^8 - 4*z^2 + z^2/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 12*a^2*z^4 - 14*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49681] -> a^2 - a^4 + a^6 + 2*a^8 - 2*a^10 + 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49682] -> 
  a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + z^2 - a^2*z^2 + 2*a^4*z^2 + 
   7*a^6*z^2 - 8*a^8*z^2 + 4*a^10*z^2 + z^4 - 4*a^2*z^4 + 6*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49683] -> -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 
   4*z^2 - z^2/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 49684] -> 3 - a^(-2) - a^2 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   8*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49685] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 
   3*z^4 - (3*z^4)/a^2 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49686] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + z^2/a^6 - (6*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49687] -> a^2 + 2*a^6 - 4*a^8 + 3*a^10 - a^12 + z^2 + 
   5*a^6*z^2 - 7*a^8*z^2 + 4*a^10*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 
   5*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49688] -> a^4 + a^6 - 2*a^8 + 4*a^10 - 4*a^12 + a^14 + 
   2*a^2*z^2 + 2*a^4*z^2 - 2*a^8*z^2 + 9*a^10*z^2 - 4*a^12*z^2 + a^4*z^4 - 
   3*a^6*z^4 - 5*a^8*z^4 + 6*a^10*z^4 - a^2*z^6 + a^4*z^6 - a^6*z^6 - 
   4*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 49689] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49690] -> 5*a^6 - 5*a^8 + a^10 + a^2*z^2 - 6*a^4*z^2 + 
   20*a^6*z^2 - 11*a^8*z^2 + a^10*z^2 + 4*a^2*z^4 - 14*a^4*z^4 + 22*a^6*z^4 - 
   3*a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 + 7*a^6*z^6 + 5*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 49691] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 
   9*a^6*z^2 - 5*a^8*z^2 + z^4 - a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - a^10*z^4 + 
   z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 49692] -> 3*a^2 - 3*a^4 + a^6 + 6*z^2 - 
   (3*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 14*z^4 - (5*z^4)/a^2 - 4*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 49693] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 - z^2/a^4 - 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 49694] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 4/a^6 - 6/a^4 + 4/a^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (13*z^2)/a^8 + (20*z^2)/a^6 - (20*z^2)/a^4 + (8*z^2)/a^2 + 
   (4*z^4)/a^10 - (17*z^4)/a^8 + (28*z^4)/a^6 - (28*z^4)/a^4 + (7*z^4)/a^2 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 - (18*z^6)/a^4 + (4*z^6)/a^2 + (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 49695] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49696] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + 2*a^2*z^2 - 
   2*a^4*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 20*a^6*z^4 - 16*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   12*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 49697] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + 
   a^10 - 4*z^2 + 15*a^2*z^2 - 23*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + 
   a^10*z^2 - 6*z^4 + 24*a^2*z^4 - 31*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 17*a^2*z^6 - 18*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49698] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 - 6*z^4 + 13*a^2*z^4 - a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49699] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   5*z^2 + 17*a^2*z^2 - 23*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 26*a^2*z^4 - 30*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49700] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - 
   a^4*z^2 + 11*a^6*z^2 + a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 4*a^4*z^4 + 
   16*a^6*z^4 - 3*a^8*z^4 - 7*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 
   11*a^6*z^6 - 7*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 3*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 49701] -> 
  4*a^6 - 3*a^8 + a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^12*z^2 - a^2*z^4 + 
   a^4*z^4 + 7*a^6*z^4 - 5*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 49702] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 10*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + (17*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49703] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   12*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49704] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 12*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49705] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 12*z^2 - 
   (9*z^2)/a^6 + (32*z^2)/a^4 - (33*z^2)/a^2 + 24*z^4 - (12*z^4)/a^6 + 
   (57*z^4)/a^4 - (72*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49706] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - (15*z^2)/a^2 + 
   3*a^2*z^2 - 8*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - (18*z^4)/a^2 + 
   6*a^2*z^4 - 10*z^6 - z^6/a^6 + (10*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49707] -> -1 + 3*a^2 - a^6 - 10*z^2 + (2*z^2)/a^2 + 
   12*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 + 
   9*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49708] -> 4 - a^(-4) - 2*a^2 + 8*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 11*z^4 + (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (13*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 49709] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49710] -> 3 - a^(-2) - a^2 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49711] -> -2 + 2/a^2 + a^4 - 10*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (12*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49712] -> -2 + 5*a^2 - 2*a^4 + a^6 - a^8 - 
   6*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49713] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 2*a^4*z^2 + 3*a^6*z^2 + 23*a^8*z^2 - 
   23*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 3*a^6*z^4 + 39*a^8*z^4 - 
   28*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 30*a^8*z^6 - 
   15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49714] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 26*z^2 + (4*z^2)/a^4 - (19*z^2)/a^2 - 
   10*a^2*z^2 + 52*z^4 + (6*z^4)/a^4 - (34*z^4)/a^2 - 18*a^2*z^4 + 52*z^6 + 
   (4*z^6)/a^4 - (29*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 49715] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49716] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + (5*z^2)/a^8 - (31*z^2)/a^6 + 
   (50*z^2)/a^4 - (19*z^2)/a^2 + (8*z^4)/a^8 - (50*z^4)/a^6 + (86*z^4)/a^4 - 
   (29*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + (74*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 49717] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 8*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (13*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49718] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 2*a^6*z^2 - 10*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 + 9*a^4*z^4 - 6*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49719] -> 
  a^2 - a^4 + 2*a^6 - 3*a^8 + 5*a^10 - 3*a^12 + 4*a^2*z^2 - 4*a^4*z^2 + 
   9*a^6*z^2 - 14*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   11*a^4*z^4 + 11*a^6*z^4 - 23*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   9*a^4*z^6 + 9*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 49720] -> 
  a^2 - a^4 + 2*a^6 - 2*a^8 + 3*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 - 3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 
   3*a^4*z^4 - 2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 49721] -> 
  2*a^2 - 5*a^4 + 7*a^6 - 2*a^8 - a^10 + z^2 + 4*a^2*z^2 - 14*a^4*z^2 + 
   18*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 2*z^4 + a^2*z^4 - 17*a^4*z^4 + 
   14*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49722] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - z^2/a^2 + 12*a^2*z^2 - 16*a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 9*a^2*z^4 - 18*a^4*z^4 + 
   2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49723] -> 
  -3 - 2/a^8 + 5/a^6 - 4/a^4 + 3/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   z^4/a^8 + (9*z^4)/a^6 - (22*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49724] -> 
  1 - a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49725] -> a^2 + a^6 - a^8 - 5*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   13*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49726] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 
   2*a^6 - 17*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 12*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 22*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 49727] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + z^2/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + (10*z^4)/a^6 - 
   (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49728] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 12*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 49729] -> 5 - 3/a^2 + a^2 - 2*a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49730] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - (14*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 49731] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49732] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   9*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - 6*z^4 + 13*a^2*z^4 - 
   a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 49733] -> 1 + z^2 - z^2/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 49734] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + z^2 - z^2/a^2 + 3*a^2*z^2 - 
   10*a^4*z^2 + 10*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 8*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 49735] -> -4 + 2/a^2 + 4*a^2 - a^4 - 11*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49736] -> 
  a^2 + a^6 - a^8 - 4*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49737] -> 
  -2/a^6 + 3/a^4 + 8*z^2 - (7*z^2)/a^6 + (24*z^2)/a^4 - (22*z^2)/a^2 + 
   18*z^4 - (9*z^4)/a^6 + (43*z^4)/a^4 - (53*z^4)/a^2 + 15*z^6 - 
   (5*z^6)/a^6 + (34*z^6)/a^4 - (53*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49738] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 
   z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 
   6*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49739] -> 
  1 + a^2 - 2*a^4 + a^6 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49740] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 3*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 49741] -> 
  -1 + a^(-2) + a^2 - 2*a^4 + 4*a^6 - 2*a^8 - z^2 + z^2/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49742] -> 
  a^2 + a^4 - a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 9*a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 49743] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 
   3*z^2 + z^2/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   9*z^4 + z^4/a^6 - (7*z^4)/a^4 + (15*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49744] -> 
  1 + 2*z^2 + z^2/a^6 - (2*z^2)/a^4 - a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49745] -> -a^(-4) + 2/a^2 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49746] -> 
  -1 + a^2 + 2*a^4 + a^6 - 2*a^8 - 5*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 
   11*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49747] -> -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 12*z^2 + 
   (4*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49748] -> 9*a^8 - 12*a^10 + 4*a^12 - 
   2*a^4*z^2 + 34*a^8*z^2 - 34*a^10*z^2 + 8*a^12*z^2 - 5*a^4*z^4 + 
   49*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49749] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 37*z^2 + (6*z^2)/a^4 - (27*z^2)/a^2 - 
   14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - (48*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 49750] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 14*a^2*z^2 - 7*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 49751] -> 
  -1 - a^(-6) + 3/a^2 - 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + 
   (8*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (9*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49752] -> 4 - a^(-4) - 2*a^2 + 23*z^2 + 
   z^2/a^4 - (11*z^2)/a^2 - 10*a^2*z^2 + 51*z^4 + (5*z^4)/a^4 - 
   (29*z^4)/a^2 - 18*a^2*z^4 + 52*z^6 + (4*z^6)/a^4 - (28*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49753] -> 
  a^2 - a^4 + 3*a^6 - 5*a^8 + 6*a^10 - 3*a^12 + 4*a^2*z^2 - 4*a^4*z^2 + 
   9*a^6*z^2 - 15*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   11*a^4*z^4 + 11*a^6*z^4 - 23*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   9*a^4*z^6 + 9*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 49754] -> 
  a^2 - a^8 + 3*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 49755] -> a^2 + a^8 - a^10 + z^2 + 
   a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 
   4*a^4*z^4 + 2*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49756] -> a^2 + a^4 - a^6 - 3*z^2 + 7*a^2*z^2 - 
   a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^2 + 10*a^2*z^4 - 6*a^4*z^4 - 
   a^6*z^4 + a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 6*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49757] -> 
  a^2 - 3*a^4 + 7*a^6 - 4*a^8 + z^2 + 3*a^2*z^2 - 12*a^4*z^2 + 19*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 + 2*z^4 + a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49758] -> 
  a^2 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^2 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49759] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 49760] -> 
  a^6 - a^8 + 6*a^10 - 6*a^12 + a^14 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 + 
   16*a^10*z^2 - 7*a^12*z^2 - a^14*z^2 + 2*a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + 
   15*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - 8*a^8*z^6 + 3*a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 49761] -> 5*a^6 - 6*a^8 + 3*a^10 - a^12 + a^4*z^2 + 
   12*a^6*z^2 - 12*a^8*z^2 + 5*a^10*z^2 - a^2*z^4 + 11*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 49762] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49763] -> -2 + 4*a^2 - a^8 - z^2 + z^2/a^4 - 
   z^2/a^2 + 4*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49764] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 - a^2*z^2 + 9*a^6*z^2 + 6*a^8*z^2 - 
   12*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 13*a^6*z^4 + 8*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 49765] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 21*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (10*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 49766] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 5*z^2 + z^2/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 49767] -> 
  -2*a^4 + 7*a^6 - 7*a^10 + 3*a^12 - 7*a^4*z^2 + 17*a^6*z^2 + 15*a^8*z^2 - 
   26*a^10*z^2 + 7*a^12*z^2 - 9*a^4*z^4 + 17*a^6*z^4 + 32*a^8*z^4 - 
   31*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 11*a^6*z^6 + 28*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49768] -> 
  -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 7*a^4*z^2 + 19*a^6*z^2 + 
   7*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 7*a^4*z^4 + 22*a^6*z^4 + 
   14*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 14*a^6*z^6 + 
   10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 49769] -> 1 + a^2 - 2*a^4 + a^6 + 8*z^2 - 
   (4*z^2)/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 12*z^6 - (4*z^6)/a^2 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 49770] -> -3 - 2/a^4 + 5/a^2 + a^2 - 
   10*z^2 - z^2/a^6 - z^2/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49771] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^4)/a^6 + 
   (16*z^4)/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^6 + (13*z^6)/a^4 - 
   (21*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 49772] -> 
  -1 - 2/a^4 + 4/a^2 - z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^2 + a^2*z^2 - 
   z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 49773] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + 
   (11*z^4)/a^8 - (5*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49774] -> 3*a^2 - 2*a^4 - a^6 + a^8 - 3*z^2 + 
   7*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 12*a^2*z^4 + 
   3*a^4*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 
   8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 49775] -> 5*a^2 - 7*a^4 + 4*a^6 - 2*a^8 + 
   a^10 - 5*z^2 + 17*a^2*z^2 - 24*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 7*z^4 + 26*a^2*z^4 - 30*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 
   4*z^6 + 18*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49776] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 15*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   20*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   26*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49777] -> 6 - 2/a^2 - 4*a^2 + a^4 + 25*z^2 - 
   (7*z^2)/a^2 - 26*a^2*z^2 + 9*a^4*z^2 + 41*z^4 - (9*z^4)/a^2 - 50*a^2*z^4 + 
   16*a^4*z^4 + 33*z^6 - (5*z^6)/a^2 - 49*a^2*z^6 + 14*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 49778] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 - 11*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49779] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 11*z^2 - (7*z^2)/a^6 + (27*z^2)/a^4 - 
   (30*z^2)/a^2 + 19*z^4 - (9*z^4)/a^6 + (44*z^4)/a^4 - (58*z^4)/a^2 + 
   15*z^6 - (5*z^6)/a^6 + (34*z^6)/a^4 - (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49780] -> -a^(-6) + a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (11*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49781] -> 2*a^2 - 2*a^6 + a^8 - 3*z^2 + 5*a^2*z^2 + 
   4*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 4*z^4 + 7*a^2*z^4 + 9*a^4*z^4 - 
   13*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 8*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49782] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2/a^2 + 
   11*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   9*a^2*z^4 - 17*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49783] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 
   a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49784] -> 
  -2 + a^(-8) - 5/a^6 + 4/a^4 + 3/a^2 - 7*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (23*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (40*z^4)/a^4 + (8*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (33*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49785] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (10*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (2*z^4)/a^6 + (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 49786] -> a^4 + 4*a^8 - 6*a^10 + 2*a^12 - 
   a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 15*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 + 6*a^6*z^4 + 18*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 8*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 49787] -> 4*a^4 - 4*a^6 + a^8 - z^2 + 
   a^2*z^2 + 9*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 
   6*a^4*z^4 - 16*a^6*z^4 + 6*a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 - 
   12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49788] -> 
  12 + a^(-4) - 7/a^2 - 5*a^2 + 49*z^2 + (6*z^2)/a^4 - (32*z^2)/a^2 - 
   19*a^2*z^2 + 84*z^4 + (9*z^4)/a^4 - (52*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 49789] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 6*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 11*z^4 + 
   (3*z^4)/a^4 - (14*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 49790] -> 
  4 - a^(-4) - 2*a^2 + 16*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 
   9*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 49791] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49792] -> 2 - a^(-4) + 2*a^2 - 2*a^4 + 11*z^2 + 
   z^2/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 26*z^4 + (3*z^4)/a^4 - 
   (19*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 26*z^6 + z^6/a^4 - (14*z^6)/a^2 + 
   9*a^2*z^6 - 5*a^4*z^6 + 12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 49793] -> 
  -2/a^4 + 3/a^2 + a^2 - a^4 + 6*z^2 + z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 + 
   2*a^2*z^4 - 3*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 49794] -> 
  -5 + 2/a^2 + 5*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 15*z^2 + (5*z^2)/a^2 + 
   16*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 18*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49795] -> -4 + 2/a^2 + 3*a^2 - a^4 + 
   3*a^6 - 2*a^8 - 13*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 17*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49796] -> 2*a^2 - 4*a^4 + 5*a^6 - a^8 - a^10 + z^2 + 
   4*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - a^8*z^2 - a^10*z^2 + z^4 + 
   2*a^2*z^4 - 16*a^4*z^4 + 12*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 49797] -> -3 - a^(-4) + 4/a^2 + a^4 - 11*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 13*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 - 13*a^2*z^4 + 7*a^4*z^4 - 9*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49798] -> 
  -1 + 4*a^2 - 4*a^6 + 2*a^8 - 3*z^2 + 10*a^2*z^2 + 2*a^4*z^2 - 18*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - a^4*z^4 - 26*a^6*z^4 + 10*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49799] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 7*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (14*z^2)/a^2 + a^2*z^2 - z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (13*z^4)/a^2 - 
   2*a^2*z^4 + 5*z^6 + z^6/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 - 3*a^2*z^6 + 
   4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 49800] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   9*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 
   11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49801] -> 
  3*a^2 - 3*a^4 + a^6 - 5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   2*a^6*z^2 - 4*z^4 + z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 49802] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49803] -> -6 + 3/a^2 + 5*a^2 - a^4 - 15*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (2*z^4)/a^4 + 
   z^4/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 49804] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   3*z^2 + (3*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49805] -> -1 - 2/a^8 + 5/a^6 - 4/a^4 + 2/a^2 + a^2 - 
   8*z^2 - (2*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - z^4/a^8 + (9*z^4)/a^6 - (21*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49806] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 4*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49807] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   6*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 11*a^4*z^4 + 
   13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49808] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   19*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 49809] -> 
  6 - 3/a^2 - a^2 - a^4 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49810] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 10*z^2 - 
   (4*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 8*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   (9*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 49811] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + 
   3*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + z^4 - 5*a^4*z^4 + 
   13*a^6*z^4 - 4*a^8*z^4 + 3*z^6 - 4*a^2*z^6 - 5*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 4*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 49812] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + 
   z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 - z^4/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49813] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49814] -> 1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 
   2*z^2 - z^2/a^10 + z^2/a^8 + (7*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + 
   2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49815] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   (17*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + 
   (23*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49816] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + a^8*z^2 + z^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 
   5*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 49817] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 16*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 22*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   19*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49818] -> 2 - 3*a^4 + 3*a^6 - 2*a^8 + a^10 + 3*z^2 - 
   (2*z^2)/a^2 - 8*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 
   4*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49819] -> 
  a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 + z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49820] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 6*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   9*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 
   14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49821] -> -a^(-4) + 2/a^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 6*z^4 - (5*z^4)/a^6 + (18*z^4)/a^4 - 
   (17*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (22*z^6)/a^4 - (28*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 49822] -> 
  3 - 2/a^6 + 6/a^4 - 6/a^2 + 17*z^2 - (9*z^2)/a^6 + (37*z^2)/a^4 - 
   (45*z^2)/a^2 + 28*z^4 - (12*z^4)/a^6 + (61*z^4)/a^4 - (85*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49823] -> -a^(-4) + 2/a^2 - 10*z^2 - 
   (3*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 18*z^4 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 + 3*a^4*z^4 - 13*z^6 - z^6/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 49824] -> -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (5*z^4)/a^4 + 
   (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + z^6/a^4 + (9*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49825] -> a^2 - 3*a^4 + 6*a^6 - 2*a^8 - 
   a^10 + z^2 + 3*a^2*z^2 - 11*a^4*z^2 + 17*a^6*z^2 - 2*a^8*z^2 - a^10*z^2 + 
   2*z^4 + a^2*z^4 - 16*a^4*z^4 + 14*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 49826] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   10*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^2 + 16*a^2*z^4 + 14*a^4*z^4 - 7*a^6*z^4 - 9*z^6 + z^6/a^2 + 
   12*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49827] -> 
  -2 + 5*a^2 - a^4 - a^6 - 4*z^2 + z^2/a^4 - (3*z^2)/a^2 + 14*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 - z^4 + z^4/a^4 - (4*z^4)/a^2 + 14*a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 49828] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49829] -> -1 - 2/a^4 + 4/a^2 + z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 + z^4/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49830] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 25*z^2 - 
   (5*z^2)/a^2 - 33*a^2*z^2 + 13*a^4*z^2 + 41*z^4 - (6*z^4)/a^2 - 
   67*a^2*z^4 + 24*a^4*z^4 + 33*z^6 - (4*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 49831] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 34*z^2 + (4*z^2)/a^4 - (22*z^2)/a^2 - 
   13*a^2*z^2 + 57*z^4 + (6*z^4)/a^4 - (35*z^4)/a^2 - 19*a^2*z^4 + 53*z^6 + 
   (4*z^6)/a^4 - (29*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 49832] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 13*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 - 19*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 49833] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 2*z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (18*z^2)/a^4 - (2*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + 
   (27*z^4)/a^4 + z^4/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (24*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49834] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 16*z^2 + (2*z^2)/a^4 - (14*z^2)/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 30*z^4 + (3*z^4)/a^4 - (21*z^4)/a^2 + 9*a^2*z^4 - 
   8*a^4*z^4 + 27*z^6 + z^6/a^4 - (14*z^6)/a^2 + 9*a^2*z^6 - 5*a^4*z^6 + 
   12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 49835] -> -2 + a^(-8) - 7/a^6 + 8/a^4 + a^(-2) - 
   7*z^2 + (3*z^2)/a^8 - (19*z^2)/a^6 + (25*z^2)/a^4 + (5*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (24*z^4)/a^6 + (36*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49836] -> a^2 + 2*a^6 - 5*a^8 + 5*a^10 - 2*a^12 + 
   z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 7*a^6*z^4 - 14*a^8*z^4 + 
   4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 49837] -> -1 + a^(-2) + 2*a^2 - 5*a^4 + 
   7*a^6 - 3*a^8 - 7*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 22*a^4*z^2 + 
   20*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 20*a^2*z^4 - 30*a^4*z^4 + 
   20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49838] -> 2 - a^(-2) + a^2 - a^4 - z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (9*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49839] -> 
  -2/a^8 + 5/a^6 - 3/a^4 + a^2 - 7*z^2 - (3*z^2)/a^8 + (15*z^2)/a^6 - 
   (18*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^8 + (12*z^4)/a^6 - 
   (25*z^4)/a^4 + (16*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (14*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49840] -> 
  -1 + a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 13*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49841] -> 5 - 2/a^2 - 2*a^2 + 9*z^2 + 
   z^2/a^4 - (6*z^2)/a^2 - 2*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 - z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49842] -> -3 - a^(-8) + 2/a^6 - a^(-4) + 2/a^2 + 
   2*a^2 - 11*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 14*z^4 - z^4/a^8 + (9*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 49843] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 13*z^2 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 49844] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 12*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   16*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   23*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49845] -> -2 + a^(-4) + 4*a^2 - 4*a^4 + 2*a^6 - 
   3*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 + (3*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 49846] -> 1 - a^2 + a^4 + a^6 - a^8 + 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 49847] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 2*a^2 - 
   12*z^2 - (5*z^2)/a^6 + (18*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (14*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49848] -> 
  -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 16*a^2*z^4 - 
   11*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49849] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 2*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 49850] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49851] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 7*z^2 + (3*z^2)/a^8 - (13*z^2)/a^6 + 
   (10*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + 
   (22*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49852] -> 
  3*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 5*z^2 + (2*z^2)/a^2 + 13*a^2*z^2 - 
   23*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49853] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2 + z^2/a^4 - 
   z^2/a^2 - 6*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 
   a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49854] -> 
  2 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 + 
   2*z^4 - (6*z^4)/a^8 + (7*z^4)/a^6 - (3*z^4)/a^4 - (7*z^4)/a^2 + z^6 + 
   (4*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49855] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49856] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49857] -> 
  a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + z^2 + 5*a^6*z^2 - 6*a^8*z^2 + 
   4*a^10*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - 6*a^8*z^4 + z^6 - 
   2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49858] -> 
  2 - a^2 - 2*a^4 + 4*a^6 - 3*a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - a^2*z^2 - 
   8*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   8*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 49859] -> 2*a^2 - a^4 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - a^6*z^2 + a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 49860] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49861] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 
   a^10 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 
   6*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 49862] -> a^(-4) - a^(-2) + 3*a^2 - 4*a^4 + 2*a^6 - 
   2*z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 
   a^6*z^2 + (3*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 49863] -> 1 - a^4 + 2*a^6 - a^8 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49864] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 49865] -> 
  -2 + 6*a^2 - 3*a^4 - 7*z^2 + z^2/a^4 - (2*z^2)/a^2 + 19*a^2*z^2 - 
   8*a^4*z^2 - 6*z^4 + z^4/a^4 - (3*z^4)/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - 
   a^6*z^4 - z^6 - (2*z^6)/a^2 + 11*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 49866] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   4*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4/a^6 - 
   z^4/a^4 + z^4/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 49867] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49868] -> 2 - a^(-2) + a^6 - a^8 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49869] -> 
  2*a^4 - 3*a^6 + 7*a^8 - 7*a^10 + 2*a^12 - a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 
   17*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   3*a^6*z^4 + 16*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   5*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 49870] -> -2 + 7*a^2 - 5*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   14*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49871] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   8*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + (14*z^2)/a^4 + (10*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + (17*z^4)/a^4 + (20*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49872] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (16*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 49873] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 17*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 22*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49874] -> 2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + 
   a^6 - 3*z^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49875] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 
   2*z^2 - z^2/a^2 - 4*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + z^4/a^2 - 
   a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 49876] -> 
  2 - a^(-2) + a^2 - a^4 + 2*z^2 - z^2/a^4 + z^2/a^2 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 49877] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   7*z^2 - (3*z^2)/a^2 - 4*a^2*z^2 + 6*z^4 + z^4/a^4 - (4*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49878] -> 1 - z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   6*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49879] -> 
  a^2 + a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + a^6*z^2 - 3*z^4 + 
   z^4/a^2 + a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   2*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 49880] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (19*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49881] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 
   16*z^2 + z^2/a^6 - (7*z^2)/a^4 + (16*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (23*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49882] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 + 5*z^2 - (7*z^2)/a^6 + (21*z^2)/a^4 - 
   (15*z^2)/a^2 + 19*z^4 - (9*z^4)/a^6 + (44*z^4)/a^4 - (52*z^4)/a^2 + 
   18*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (60*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 49883] -> 3 - 2/a^6 + 4/a^4 - 3/a^2 - 
   a^2 + 5*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (12*z^2)/a^2 - 3*z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (16*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49884] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (4*z^2)/a^12 - (16*z^2)/a^10 + 
   (18*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (4*z^4)/a^12 - (24*z^4)/a^10 + 
   (31*z^4)/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (27*z^6)/a^8 + (3*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 49885] -> a^(-12) - 4/a^10 + 4/a^8 - a^(-6) + a^(-2) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 + (7*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (8*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49886] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 + z^2/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (19*z^4)/a^6 + (22*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49887] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 14*z^2 + 
   (4*z^2)/a^4 - (17*z^2)/a^2 + 6*a^2*z^2 - 6*a^4*z^2 + 34*z^4 + 
   (4*z^4)/a^4 - (27*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 49888] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 12*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (8*z^2)/a^2 - 3*a^4*z^2 + 17*z^4 + z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 49889] -> 
  -3 + a^(-6) - a^(-4) + a^(-2) + 4*a^2 - a^4 - 14*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 49890] -> 
  -1 + a^(-2) + a^2 - 4*a^4 + 8*a^6 - 4*a^8 - 8*z^2 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 20*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 11*z^4 + z^4/a^2 + 
   20*a^2*z^4 - 29*a^4*z^4 + 19*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   17*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 49891] -> -1 + a^(-2) + 3*a^6 - 2*a^8 - 
   z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 
   2*z^4 - (3*z^4)/a^2 - 6*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49892] -> 
  a^(-12) - 2/a^10 - 3/a^8 + 6/a^6 - a^(-4) + (4*z^2)/a^12 - (14*z^2)/a^10 + 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (24*z^4)/a^10 + 
   (24*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 49893] -> a^(-12) - 3/a^10 + a^(-8) + a^(-6) + 
   a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49894] -> -a^(-4) + 2/a^2 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + 18*z^4 + (5*z^4)/a^4 - (17*z^4)/a^2 - 6*a^2*z^4 + 
   28*z^6 + (4*z^6)/a^4 - (22*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + z^8/a^4 - 
   (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 49895] -> -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (11*z^2)/a^2 - 2*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (17*z^4)/a^2 - 2*a^2*z^4 + 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (12*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 49896] -> -1 + a^(-2) + a^2 - 9*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 12*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (2*z^6)/a^4 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 49897] -> -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^4 - (10*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (20*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 49898] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (17*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 49899] -> -1 + 4*a^2 - 2*a^4 - 5*a^2*z^2 + 
   14*a^4*z^2 - 7*a^6*z^2 + 4*z^4 - 28*a^2*z^4 + 51*a^4*z^4 - 20*a^6*z^4 + 
   4*z^6 - 30*a^2*z^6 + 60*a^4*z^6 - 18*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 49900] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 32*z^2 + 
   z^2/a^4 - (15*z^2)/a^2 - 14*a^2*z^2 + 67*z^4 + (5*z^4)/a^4 - 
   (35*z^4)/a^2 - 24*a^2*z^4 + 66*z^6 + (4*z^6)/a^4 - (32*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 49901] -> 
  3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (20*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (22*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 49902] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (11*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (23*z^4)/a^6 - (2*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 49903] -> 3 - a^(-2) - a^2 + 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 2*z^4 - (2*z^4)/a^6 + (10*z^4)/a^4 - 
   (11*z^4)/a^2 + 4*a^2*z^4 - 5*z^6 - z^6/a^6 + (11*z^6)/a^4 - (17*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 49904] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 10*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49905] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   z^2/a^8 - z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 49906] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (30*z^2)/a^4 - (10*z^2)/a^2 + (8*z^4)/a^8 - (38*z^4)/a^6 + (53*z^4)/a^4 - 
   (17*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + (50*z^6)/a^4 - (14*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 49907] -> 
  -1 - 2/a^4 + 4/a^2 - 6*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (13*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + (3*z^4)/a^4 + 
   (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 49908] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 
   3*a^4 - 15*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 18*a^2*z^2 - 
   6*a^4*z^2 - 20*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49909] -> 
  a^2 - a^4 + 2*a^6 - a^8 + a^10 - a^12 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 - 
   a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 49910] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 4*z^2 - z^2/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 + 
   (2*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 49911] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 - 
   5*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   21*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49912] -> 1 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (5*z^4)/a^6 - (8*z^4)/a^2 + 2*a^2*z^4 - 
   z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 49913] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + z^2/a^12 - (6*z^2)/a^10 + 
   (8*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49914] -> a^(-12) - 3/a^10 + 3/a^6 + z^2/a^12 - 
   (5*z^2)/a^10 + (12*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + 
   (17*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49915] -> a^2 - a^4 + 3*a^6 - 2*a^8 - 2*z^2 + 
   9*a^2*z^2 - 11*a^4*z^2 + 11*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 5*z^4 + 
   16*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49916] -> -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49917] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49918] -> 2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 
   4*a^4*z^2 + 10*a^6*z^2 + 17*a^8*z^2 - 25*a^10*z^2 + 7*a^12*z^2 - 
   8*a^4*z^4 + 13*a^6*z^4 + 30*a^8*z^4 - 30*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 27*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 49919] -> 2*a^4 - 2*a^6 + 5*a^8 - 6*a^10 + 2*a^12 - 
   2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 11*a^8*z^2 - 12*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 + 11*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 7*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 49920] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49921] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^6 + (7*z^4)/a^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49922] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^4 + (7*z^2)/a^2 - a^2*z^2 + 3*a^4*z^2 - 
   11*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 49923] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (15*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (22*z^4)/a^4 + (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - z^6/a^6 - 
   (14*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49924] -> -2 + 6*a^2 - 3*a^4 - 8*z^2 + z^2/a^2 + 
   12*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 + 
   12*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49925] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 + z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 8*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 8*z^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + 
   a^2*z^8, Knot[15, Alternating, 49926] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49927] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6 + (3*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49928] -> 
  -4 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (16*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49929] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   24*z^2 - (5*z^2)/a^4 + (17*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 
   31*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 49930] -> -1 - a^(-8) + 3/a^6 - 4/a^4 + 
   4/a^2 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49931] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 22*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49932] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (12*z^2)/a^8 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^12 + (2*z^4)/a^10 - (14*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 49933] -> 4 - 2/a^2 - a^4 + 14*z^2 - 
   (5*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 28*z^4 - (6*z^4)/a^2 - 30*a^2*z^4 + 
   11*a^4*z^4 + 27*z^6 - (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 49934] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   13*z^2 - (7*z^2)/a^6 + (29*z^2)/a^4 - (34*z^2)/a^2 + 24*z^4 - 
   (9*z^4)/a^6 + (49*z^4)/a^4 - (70*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + 
   (38*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 49935] -> 1 + a^(-8) - 5/a^6 + 7/a^4 - 3/a^2 - z^2 + 
   (5*z^2)/a^8 - (19*z^2)/a^6 + (23*z^2)/a^4 - (6*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (35*z^4)/a^4 - (3*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (29*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49936] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 13*z^2 + 
   (4*z^2)/a^4 - (16*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + 33*z^4 + 
   (4*z^4)/a^4 - (27*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 31*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 49937] -> 
  2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 10*z^2 + z^2/a^6 - z^2/a^4 - 
   (9*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 16*z^4 + z^4/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49938] -> -5 + a^(-6) - a^(-4) + 2/a^2 + 5*a^2 - a^4 - 
   18*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 14*a^2*z^4 - 
   3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49939] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (17*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 49940] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 
   8*z^2 + z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (2*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 49941] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 8*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49942] -> 9*a^8 - 12*a^10 + 4*a^12 - 
   2*a^4*z^2 + 34*a^8*z^2 - 34*a^10*z^2 + 8*a^12*z^2 - 5*a^4*z^4 + 
   49*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 
   35*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49943] -> 
  a^4 + 4*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 + 3*a^4*z^2 + 14*a^8*z^2 - 
   14*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 + 
   15*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 
   8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 49944] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 
   6*a^2*z^2 + 5*a^4*z^2 - 17*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 
   a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 49945] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + z^2 - z^2/a^2 + 6*a^2*z^2 - 6*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49946] -> 
  4 - 2/a^2 - a^4 + 10*z^2 + z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - 2*a^4*z^4 + 
   9*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + 
   (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 49947] -> 
  -2 + a^(-8) - 8/a^6 + 10/a^4 - 8*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (33*z^2)/a^4 + (4*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (47*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (35*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49948] -> 
  -1 - a^(-8) - 2/a^6 + 5/a^4 - 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 - 
   z^2/a^6 + (15*z^2)/a^4 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   (18*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + (12*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 49949] -> -1 + a^2 + 4*a^4 - 3*a^6 - 13*a^2*z^2 + 
   33*a^4*z^2 - 15*a^6*z^2 + 4*z^4 - 33*a^2*z^4 + 69*a^4*z^4 - 25*a^6*z^4 + 
   4*z^6 - 31*a^2*z^6 + 67*a^4*z^6 - 19*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 49950] -> -2 + 5*a^2 - a^4 - a^6 - 10*z^2 + z^2/a^2 + 
   14*a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 + 
   16*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 + 15*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 49951] -> -4 + a^(-8) - 5/a^6 + 2/a^4 + 7/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + (18*z^2)/a^4 + (18*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + (36*z^4)/a^4 + (21*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (16*z^6)/a^6 + (32*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (13*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49952] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 5*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - (4*z^2)/a^6 + (13*z^2)/a^4 + (5*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (8*z^4)/a^8 + z^4/a^6 + (18*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 49953] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^8 - z^6/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49954] -> 2*a^2 - a^4 + 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4/a^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49955] -> 1 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + 
   z^2/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (7*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49956] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 + 3*z^2 - 8*a^2*z^2 + 8*a^4*z^2 + 7*a^6*z^2 - 
   4*a^8*z^2 + 5*z^4 - 13*a^2*z^4 + 4*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 10*a^2*z^6 - 3*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 49957] -> -a^2 + 4*a^4 - a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49958] -> -a^(-12) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-2) - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (16*z^4)/a^6 - (7*z^4)/a^4 + 
   z^4/a^2 - (6*z^6)/a^8 + (13*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 + 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 49959] -> a^2 + 2*a^6 - 3*a^8 + a^10 + 3*a^2*z^2 - 
   7*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 + 7*a^2*z^4 - 
   16*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 13*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49960] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   12*z^2 - z^2/a^4 + (4*z^2)/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49961] -> 
  1 + 2*a^2 - 4*a^4 + 3*a^6 - 2*a^8 + a^10 + z^2 - z^2/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 8*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 49962] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   12*a^2*z^2 - 16*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 
   16*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   11*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 49963] -> -3 - 2/a^6 + 4/a^4 + 2*a^2 - 
   14*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (4*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (11*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 49964] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (11*z^4)/a^4 - (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 49965] -> a^(-12) - 4/a^10 + 3/a^8 + a^(-4) + 
   z^2/a^12 - (6*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^4/a^12 - (5*z^4)/a^10 + (5*z^4)/a^8 + (5*z^4)/a^6 - z^4/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 49966] -> 
  -3 + a^(-8) - 3/a^6 - a^(-4) + 7/a^2 - 9*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (11*z^2)/a^4 + (15*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (29*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49967] -> 
  -3 - a^(-8) + 2/a^6 - 3/a^4 + 5/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49968] -> 
  3*a^2 - 5*a^4 + 7*a^6 - 6*a^8 + 2*a^10 - 2*z^2 + 6*a^2*z^2 - 10*a^4*z^2 + 
   16*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 
   18*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 49969] -> 1 + a^6 - 2*a^8 + a^10 + z^2 - z^2/a^2 - 
   a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49970] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 4*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + z^4/a^2 + 12*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 49971] -> a^2 - a^4 + 2*a^6 - a^10 + z^2 - a^4*z^2 + 
   4*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 + 2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 49972] -> 
  -3 + a^(-8) - 6/a^6 + 5/a^4 + 4/a^2 - 9*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (22*z^2)/a^4 + (11*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (35*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (29*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 49973] -> 
  -1 - 4/a^6 + 6/a^4 - 3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - (3*z^2)/a^6 + 
   (14*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (16*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 49974] -> -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^4 + 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49975] -> 
  -1 + 2*a^2 + a^4 - a^8 - 3*z^2 + z^2/a^2 + 4*a^2*z^2 + 2*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 49976] -> 
  1 - a^2 + 3*a^6 - 2*a^8 + z^2 + z^2/a^4 - z^2/a^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 + z^4 - (3*z^4)/a^2 - 6*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 + 3*z^6 + 
   a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49977] -> -2/a^6 + 3/a^4 - (2*z^2)/a^10 + 
   (8*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (18*z^4)/a^8 - (22*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (13*z^6)/a^8 - (23*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49978] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + 
   (3*z^2)/a^8 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (2*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 49979] -> a^2 - a^4 + 5*a^6 - 8*a^8 + 6*a^10 - 
   2*a^12 + 5*a^2*z^2 - 10*a^4*z^2 + 19*a^6*z^2 - 20*a^8*z^2 + 11*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 19*a^4*z^4 + 24*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 49980] -> 
  a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 2*z^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   4*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 49981] -> -2 - a^(-10) + 2/a^8 - 2/a^4 + 3/a^2 + a^4 - 
   2*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + (3*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + 
   (4*z^6)/a^4 - z^8/a^2, Knot[15, Alternating, 49982] -> 
  -2 + a^(-4) + 3*a^2 - a^4 - a^6 + a^8 - 2*z^2 - z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 - a^2*z^4 + 6*a^4*z^4 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, 
 Knot[15, Alternating, 49983] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 - 
   (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 49984] -> 
  3*a^2 - 3*a^4 + a^6 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 49985] -> a^4 + 4*a^6 - 7*a^8 + 4*a^10 - a^12 - 
   a^2*z^2 + 2*a^4*z^2 + 14*a^6*z^2 - 18*a^8*z^2 + 7*a^10*z^2 - 2*a^2*z^4 + 
   a^4*z^4 + 15*a^6*z^4 - 16*a^8*z^4 + a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 49986] -> -5 + 2/a^2 + 8*a^2 - 6*a^4 + 
   2*a^6 - 15*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 22*a^2*z^2 - 17*a^4*z^2 + 
   4*a^6*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 26*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49987] -> 
  2 + a^(-4) - 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 49988] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   12*z^4 + z^4/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 49989] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (5*z^2)/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + z^4/a^6 + (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 49990] -> a^(-12) - 3/a^10 + 3/a^6 + 
   z^2/a^12 - (5*z^2)/a^10 + z^2/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (2*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 49991] -> -2 + 5*a^2 - 3*a^4 + 3*a^6 - 2*a^8 - 7*z^2 + 
   (2*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 49992] -> 
  2 - a^(-2) - a^2 + 2*a^4 - a^8 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 49993] -> 
  2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 2*a^4*z^2 + 4*a^6*z^2 + 23*a^8*z^2 - 
   27*a^10*z^2 + 7*a^12*z^2 - 5*a^4*z^4 + 4*a^6*z^4 + 37*a^8*z^4 - 
   31*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 29*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 49994] -> 
  2*a^4 - 2*a^6 + 5*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 
   13*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + a^6*z^4 + 
   13*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 4*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 49995] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (9*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + 
   (18*z^4)/a^8 - (17*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (13*z^6)/a^8 - (22*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 49996] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 3*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 49997] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 15*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (14*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 21*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (17*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 49998] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 5*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + (11*z^2)/a^4 + (6*z^2)/a^2 - 
   7*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + (13*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 49999] -> 2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50000] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50001] -> 
  a^2 + a^10 - a^12 + z^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 50002] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50003] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50004] -> 
  2 - 2*a^2 + 2*a^6 - a^8 - 3*z^2 + z^2/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 14*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 50005] -> 
  -4 + 3/a^2 + a^2 + a^4 - 12*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 + z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 50006] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 13*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + (6*z^4)/a^2 + 17*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50007] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (8*z^2)/a^6 - (12*z^2)/a^4 + z^2/a^2 + 3*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 - (17*z^4)/a^4 - z^4/a^2 + z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50008] -> 
  -1 - 2/a^4 + 4/a^2 - 2*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 50009] -> 
  -a^(-4) + 2/a^2 - z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   3*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   5*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 50010] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + 10*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 8*z^4 + 
   z^4/a^2 + 12*a^2*z^4 + 8*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50011] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 + z^2 - (3*z^2)/a^2 + 12*a^2*z^2 - 
   7*a^4*z^2 + 9*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   10*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 50012] -> -2 + 7*a^2 - 5*a^4 + a^6 - 8*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 + 
   6*a^4*z^4 - 5*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50013] -> 1 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   z^2/a^6 - (5*z^2)/a^4 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - 
   (11*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50014] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (7*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 50015] -> 1 + a^(-6) - 2/a^4 + a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 50016] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 50017] -> -a^(-4) + 2/a^2 + 7*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 3*a^2*z^2 + 30*z^4 + (5*z^4)/a^4 - (22*z^4)/a^2 - 
   11*a^2*z^4 + 41*z^6 + (4*z^6)/a^4 - (26*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 50018] -> -5 - 2/a^4 + 5/a^2 + 7*a^2 - 6*a^4 + 
   2*a^6 - 18*z^2 - (3*z^2)/a^4 + (13*z^2)/a^2 + 20*a^2*z^2 - 16*a^4*z^2 + 
   5*a^6*z^2 - 22*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50019] -> 
  -3 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 - a^2 + 2*a^4 - 3*z^2 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50020] -> 1 - a^4 + 3*a^6 - 3*a^8 + a^10 - 2*z^2 + 
   6*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   15*a^2*z^4 - 19*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50021] -> -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50022] -> 
  -3 - a^(-8) + 4/a^6 - 6/a^4 + 6/a^2 + a^4 - 7*z^2 - z^2/a^8 + (7*z^2)/a^6 - 
   (14*z^2)/a^4 + (13*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (12*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50023] -> -6 - a^(-4) + 4/a^2 + 7*a^2 - 4*a^4 + a^6 - 
   20*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 21*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 24*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 23*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 50024] -> 
  -3 + 2/a^2 + 4*a^2 - 7*a^4 + 8*a^6 - 3*a^8 - 12*z^2 + (5*z^2)/a^2 + 
   14*a^2*z^2 - 23*a^4*z^2 + 18*a^6*z^2 - 3*a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   17*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50025] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 
   z^2 + z^2/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 17*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50026] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 5*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50027] -> 1 - a^(-12) + 3/a^10 - 5/a^8 + 4/a^6 - 
   a^(-2) + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (9*z^2)/a^6 - 
   (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 - (5*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50028] -> 
  -1 - a^(-8) + 3/a^6 - 4/a^4 + 4/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 + 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   (5*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50029] -> 1 + a^(-4) - a^(-2) - a^6 + a^8 - 3*z^2 - 
   z^2/a^4 + 3*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 6*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, Knot[15, Alternating, 50030] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 4*a^8 + 3*a^10 - a^12 + 3*a^2*z^2 - 5*a^4*z^2 + 
   9*a^6*z^2 - 11*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 2*a^2*z^4 - 10*a^4*z^4 + 
   14*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 9*a^4*z^6 + 
   12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 50031] -> -4 - a^(-8) + 4/a^6 - 5/a^4 + 5/a^2 + a^2 + 
   a^4 - 7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (17*z^2)/a^4 + (14*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (8*z^4)/a^6 - (16*z^4)/a^4 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50032] -> 
  -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 21*z^2 - (6*z^2)/a^4 + 
   (16*z^2)/a^2 + 19*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 28*z^4 - (6*z^4)/a^4 + 
   (26*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + 
   (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50033] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + a^8 - 
   5*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 50034] -> 
  -6 + 2/a^6 - 4/a^4 + 5/a^2 + 5*a^2 - a^4 - 21*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (17*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (23*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50035] -> 
  -4 + 2/a^2 + 5*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 13*z^2 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 17*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   20*a^2*z^4 - 22*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50036] -> -5 + 2/a^2 + 8*a^2 - 9*a^4 + 
   8*a^6 - 3*a^8 - 15*z^2 + (5*z^2)/a^2 + 20*a^2*z^2 - 22*a^4*z^2 + 
   16*a^6*z^2 - 3*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 24*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50037] -> -4 + a^(-4) + a^(-2) + 5*a^2 - 3*a^4 + a^8 - 
   10*z^2 - z^2/a^4 + z^2/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - 8*z^4 - z^4/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 + 2*a^4*z^4 - 
   3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 50038] -> 1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 8*a^2*z^2 - 16*a^4*z^2 + 17*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   4*z^4 + 16*a^2*z^4 - 23*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50039] -> a^(-14) - 5/a^12 + 6/a^10 - 
   4/a^8 + 3/a^6 - z^2/a^14 - (5*z^2)/a^12 + (18*z^2)/a^10 - (15*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (4*z^4)/a^12 + (13*z^4)/a^10 - 
   (21*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50040] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (2*z^4)/a^8 - (5*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 50041] -> -6 - 2/a^4 + 6/a^2 + 5*a^2 - 
   3*a^4 + a^6 - 21*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 17*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 20*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50042] -> -3 + 2/a^2 + 4*a^2 - 6*a^4 + 6*a^6 - 2*a^8 - 
   11*z^2 + (4*z^2)/a^2 + 13*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 17*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50043] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 5*a^8 + 6*a^10 - 3*a^12 + 5*a^2*z^2 - 7*a^4*z^2 + 
   10*a^6*z^2 - 15*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 
   12*a^4*z^4 + 11*a^6*z^4 - 23*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   9*a^4*z^6 + 9*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 
   3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 50044] -> 
  1 - a^2 + a^4 - a^8 + 3*a^10 - 2*a^12 + 2*z^2 - a^2*z^2 + a^6*z^2 - 
   3*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 3*a^2*z^4 - 3*a^4*z^4 - 
   2*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 50045] -> -6 + 3/a^2 + 5*a^2 - a^4 - 
   17*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50046] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50047] -> 
  -5 + a^(-4) + a^(-2) + 6*a^2 - 3*a^4 + a^6 - 14*z^2 + (2*z^2)/a^2 + 
   16*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50048] -> 1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   2*a^2*z^2 - 8*a^4*z^2 + 13*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 - 10*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 7*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 50049] -> 
  -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 10*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50050] -> -1 + a^(-2) + 2*a^2 - a^4 - a^6 + 
   a^8 - z^2 - z^2/a^4 + 3*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 50051] -> 
  a^(-14) - 4/a^12 + 3/a^10 + a^(-4) - z^2/a^14 - (3*z^2)/a^12 + 
   (10*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (6*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 50052] -> a^(-14) - 4/a^12 + 3/a^10 + a^(-4) - 
   z^2/a^14 - (2*z^2)/a^12 + (6*z^2)/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50053] -> -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   22*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 21*a^2*z^2 - 16*a^4*z^2 + 
   5*a^6*z^2 - 23*z^4 - z^4/a^4 + (11*z^4)/a^2 + 22*a^2*z^4 - 17*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50054] -> 
  2 - a^(-12) + 3/a^10 - 3/a^8 + 2/a^6 - a^(-4) - a^(-2) + 2*z^2 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (8*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^2 + (4*z^6)/a^6 + 
   (4*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 50055] -> 
  -2 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + a^4 - 3*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (13*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50056] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 12*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50057] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 16*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 21*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50058] -> a^(-14) - 3/a^12 + 4/a^8 - 3/a^6 + 2/a^4 - 
   z^2/a^14 - (2*z^2)/a^12 + (3*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + z^4/a^10 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50059] -> 2 - a^(-8) + 3/a^6 - 2/a^4 - 3*a^2 + 2*a^4 + 
   3*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - 
   7*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (7*z^4)/a^6 - (9*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50060] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 6*a^2*z^2 - 12*a^4*z^2 + 
   18*a^6*z^2 - 18*a^8*z^2 + 11*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   20*a^4*z^4 + 23*a^6*z^4 - 20*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   13*a^4*z^6 + 16*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 50061] -> 1 - a^2 + a^4 + a^6 - 2*a^8 + 
   2*a^10 - a^12 + 3*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + 
   4*a^10*z^2 + z^4 - 7*a^2*z^4 + 2*a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 50062] -> 
  -4 + 2/a^2 + 5*a^2 - 6*a^4 + 7*a^6 - 3*a^8 - 13*z^2 + (4*z^2)/a^2 + 
   18*a^2*z^2 - 21*a^4*z^2 + 16*a^6*z^2 - 3*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   22*a^2*z^4 - 25*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50063] -> -6 - a^(-4) + 4/a^2 + 8*a^2 - 
   6*a^4 + 2*a^6 - 17*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 18*a^2*z^2 - 
   15*a^4*z^2 + 5*a^6*z^2 - 20*z^4 - z^4/a^4 + (9*z^4)/a^2 + 20*a^2*z^4 - 
   17*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50064] -> -2/a^8 + 4/a^6 - 2/a^4 + a^(-2) - a^2 + 
   a^4 - z^2 - z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (5*z^4)/a^6 - (12*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50065] -> 
  -5 - a^(-4) + 4/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50066] -> 1 - a^(-10) + 2/a^8 - 2/a^6 + 
   3/a^4 - 2/a^2 - a^2 + a^4 + z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - (6*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (4*z^6)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50067] -> -4 + a^(-6) - 4/a^4 + 6/a^2 + 3*a^2 - a^4 - 
   14*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (15*z^2)/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 16*z^4 + z^4/a^6 - (8*z^4)/a^4 + (16*z^4)/a^2 + 12*a^2*z^4 - 
   3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 50068] -> 
  -3 - 2/a^8 + 5/a^6 - 5/a^4 + 5/a^2 + a^4 - 10*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (18*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 
   9*z^4 + (4*z^4)/a^6 - (19*z^4)/a^4 + (21*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - 
   z^6 - (6*z^6)/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 50069] -> -2 - a^(-10) + 2/a^8 - a^(-6) + 2/a^2 + 
   a^4 - 6*z^2 + (4*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - 4*z^4 - (6*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 50070] -> 
  -a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 - a^2 + a^4 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50071] -> -2 - a^(-8) + 4/a^6 - 5/a^4 + 4/a^2 + a^4 - 
   4*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (15*z^2)/a^4 + (10*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50072] -> 
  2*a^2 - 2*a^4 + 2*a^6 - 3*a^8 + 4*a^10 - 2*a^12 + 6*a^2*z^2 - 10*a^4*z^2 + 
   12*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   19*a^4*z^4 + 19*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 50073] -> 1 - a^2 + 2*a^4 - 2*a^6 + a^8 + 
   a^10 - a^12 + 3*z^2 - 4*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 
   4*a^10*z^2 + z^4 - 7*a^2*z^4 + a^6*z^4 - 6*a^8*z^4 + z^6 - 2*a^2*z^6 + 
   a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 50074] -> 
  1 - a^(-12) + 3/a^10 - 5/a^8 + 5/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (13*z^2)/a^6 - (6*z^2)/a^4 - z^2/a^2 + z^4 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (9*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 50075] -> -3 + 2/a^2 + 4*a^2 - 7*a^4 + 
   8*a^6 - 3*a^8 - 11*z^2 + (4*z^2)/a^2 + 15*a^2*z^2 - 24*a^4*z^2 + 
   18*a^6*z^2 - 3*a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 28*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50076] -> -5 + a^(-4) + a^(-2) + 7*a^2 - 5*a^4 + 
   2*a^6 - 15*z^2 - z^2/a^4 + (3*z^2)/a^2 + 19*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 50077] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 4*z^2 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 9*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 5*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50078] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - 
   z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 2*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 50079] -> 
  -5 + 3/a^2 + 2*a^2 + 2*a^4 - a^6 - 10*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50080] -> -1 + a^(-4) - a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 9*z^2 - z^2/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 
   2*a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 50081] -> 
  2 - 2*a^2 + 2*a^6 - a^8 - 2*z^2 + z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 50082] -> 
  2 + a^(-4) - 2/a^2 + a^2 - 2*a^4 + a^6 - 5*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 50083] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 13*z^2 + z^2/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + 
   10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50084] -> 2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + 
   3*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 13*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 50085] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + z^2/a^6 - z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 50086] -> 
  -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 15*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (15*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (17*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50087] -> 3 - a^(-2) - a^2 - a^4 + 2*a^6 - 
   a^8 + z^2 - z^2/a^2 + 6*a^2*z^2 - 10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 
   4*z^4 + z^4/a^2 + 13*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50088] -> 
  1 - a^2 + 2*a^4 - 2*a^8 + a^10 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 3*a^2*z^4 - 5*a^4*z^4 + 14*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 50089] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 
   2*z^2 - z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 5*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50090] -> 
  2 - a^2 - a^4 + a^6 + 3*z^2 - (2*z^2)/a^2 - 6*a^4*z^2 + 5*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + 5*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50091] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50092] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 7*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 + (9*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50093] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4 + 3*a^2*z^4 - 
   11*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50094] -> 2*a^2 - 5*a^4 + 11*a^6 - 11*a^8 + 5*a^10 - 
   a^12 + 5*a^2*z^2 - 16*a^4*z^2 + 28*a^6*z^2 - 19*a^8*z^2 + 5*a^10*z^2 + 
   6*a^2*z^4 - 21*a^4*z^4 + 23*a^6*z^4 - 7*a^8*z^4 - a^10*z^4 + 4*a^2*z^6 - 
   13*a^4*z^6 + 6*a^6*z^6 + 4*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   2*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50095] -> -7 + 2/a^2 + 11*a^2 - 7*a^4 + 3*a^6 - a^8 - 
   17*z^2 + (5*z^2)/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 
   17*z^4 + (4*z^4)/a^2 + 22*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50096] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + (4*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50097] -> 
  -2 + 6*a^2 - 3*a^4 - 15*z^2 - z^2/a^4 + (6*z^2)/a^2 + 19*a^2*z^2 - 
   6*a^4*z^2 - 18*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 15*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 + 2*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50098] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50099] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + 
   (6*z^2)/a^6 - (16*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 + 
   (3*z^4)/a^6 - (15*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (2*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50100] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 50101] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - 
   (2*z^4)/a^8 + (12*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50102] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 50103] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50104] -> 3 - a^(-2) - a^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (8*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50105] -> 1 + z^2/a^6 - (2*z^2)/a^4 + 3*a^2*z^2 - 
   2*a^4*z^2 - 7*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50106] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50107] -> 
  1 + z^2 + z^2/a^6 - (2*z^2)/a^4 + a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 50108] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (11*z^4)/a^6 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 50109] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50110] -> 
  a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (10*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (4*z^4)/a^8 + 
   (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50111] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50112] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (21*z^4)/a^4 + (15*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50113] -> -2 - a^(-4) + 3/a^2 + a^2 - 13*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 22*z^4 - 
   z^4/a^4 + (11*z^4)/a^2 + 16*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50114] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + 2*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 - z^4 + 5*a^2*z^4 - 15*a^4*z^4 + 12*a^6*z^4 - 
   4*a^8*z^4 - 2*z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 
   4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50115] -> 
  2*a^2 - a^4 - 6*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^6 - (5*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 50116] -> 
  -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 - 
   16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 50117] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - z^4/a^8 + (6*z^4)/a^6 - (14*z^4)/a^4 + 
   (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50118] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 7*z^2 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50119] -> 
  -1 + 4*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 9*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 15*z^4 + (4*z^4)/a^2 + 21*a^2*z^4 - 13*a^4*z^4 + 
   4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 50120] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 50121] -> 
  3 - a^(-2) - a^2 + 2*z^2 - z^2/a^6 + z^2/a^4 - a^2*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 5*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50122] -> 
  1 - 2*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 9*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50123] -> 
  -a^(-4) + 2/a^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50124] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 - 
   (3*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (2*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50125] -> 
  1 + a^(-8) - 2/a^6 + a^(-4) + (5*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - (8*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 50126] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 18*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (15*z^2)/a^4 + (24*z^2)/a^2 + 5*a^2*z^2 - 26*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (31*z^4)/a^2 + 7*a^2*z^4 - 18*z^6 - (6*z^6)/a^4 + 
   (17*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 50127] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 23*z^2 - 
   (4*z^2)/a^4 + (14*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 31*z^4 - 
   (6*z^4)/a^4 + (24*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 50128] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 
   8*z^2 - z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 11*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 50129] -> a^(-12) - 2/a^10 + 2/a^4 + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (2*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50130] -> 
  -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) - (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50131] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50132] -> -4 - 2/a^6 + a^(-4) + 5/a^2 + a^2 - 11*z^2 - 
   (5*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (4*z^4)/a^6 + (15*z^4)/a^4 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 50133] -> 
  -1 - 2/a^4 + 4/a^2 + 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 
   3*a^2*z^2 + 10*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (10*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 50134] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + (5*z^4)/a^4 - 
   (8*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50135] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 50136] -> 
  2*a^2 - 2*a^6 + a^8 + z^2 - a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + 3*a^2*z^4 - 11*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 
   7*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50137] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50138] -> 
  a^(-12) - 2/a^10 + a^(-6) + a^(-2) + (2*z^2)/a^12 - (5*z^2)/a^10 + 
   (5*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (2*z^4)/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50139] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 - 3*z^2 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (12*z^4)/a^4 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50140] -> -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 
   9*z^2 + (3*z^2)/a^2 + 13*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50141] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (10*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50142] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - 3*z^4 + (2*z^4)/a^8 - 
   (11*z^4)/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (9*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50143] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 11*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 50144] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2 + z^2/a^2 - 6*a^2*z^2 + 9*a^4*z^2 - 
   3*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 
   5*z^6 + (3*z^6)/a^2 - 7*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50145] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (8*z^2)/a^2 + 
   2*a^2*z^2 - 6*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50146] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 + 
   z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50147] -> 
  2 + a^(-4) - 2/a^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - a^2*z^2 + a^4*z^2 - 
   2*z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50148] -> 1 + 4*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 8*a^2*z^4 - 14*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 - 4*z^6 + z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50149] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   5*z^4 - z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 + a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50150] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (6*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (12*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 50151] -> a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 - 
   z^2 + (2*z^2)/a^2 - 10*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + 
   (3*z^4)/a^2 - 12*a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 
   8*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50152] -> 
  a^(-2) - a^2 + 2*a^6 - a^8 + z^2/a^2 - 5*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 - 
   z^4 + z^4/a^2 - 6*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50153] -> 4 - a^(-4) - 2*a^2 + 2*z^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50154] -> 
  6 - 2/a^2 - 4*a^2 + a^4 + 10*z^2 - (2*z^2)/a^2 - 9*a^2*z^2 + 2*a^6*z^2 + 
   8*z^4 - (2*z^4)/a^2 - 7*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - 
   (3*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 50155] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - z^2/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50156] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - a^2*z^4 + 3*a^4*z^4 - 
   z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 50157] -> 2 - a^2 - a^4 + a^6 - 2*z^2 + 5*a^2*z^2 - 
   7*a^4*z^2 + 2*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 
   a^6*z^4 - 7*z^6 + (3*z^6)/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 - 4*z^8 + 
   z^8/a^2 - 2*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50158] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50159] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + 
   (5*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 50160] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   7*z^2 + z^2/a^4 + z^2/a^2 + 7*a^2*z^2 - a^4*z^2 - 4*z^4 + a^2*z^4 - 
   a^4*z^4 + a^6*z^4 + z^6 - z^6/a^4 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50161] -> 
  3*a^4 - 2*a^6 - 5*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50162] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 4*z^2 + 12*a^2*z^2 - 5*a^4*z^2 - 
   3*a^6*z^2 + 3*a^8*z^2 - 7*z^4 + 15*a^2*z^4 - 12*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 12*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50163] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 + z^2 + 
   4*a^2*z^2 - 13*a^4*z^2 + 16*a^6*z^2 - 4*a^8*z^2 + 2*z^4 + a^2*z^4 - 
   17*a^4*z^4 + 13*a^6*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50164] -> -2 + a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 50165] -> 3*a^4 - 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50166] -> 
  -5 + 2/a^2 + 6*a^2 - 3*a^4 + 2*a^6 - a^8 - 15*z^2 + (5*z^2)/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   20*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 9*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50167] -> a^2 + a^4 - a^6 - z^2 + 
   z^2/a^4 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 50168] -> 
  -1 + 4*a^2 - 4*a^4 + 4*a^6 - 2*a^8 - 4*z^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   6*a^6*z^2 - 6*z^4 + 17*a^2*z^4 - 10*a^4*z^4 - 3*a^6*z^4 + 2*a^8*z^4 - 
   4*z^6 + 12*a^2*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 3*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50169] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 + 
   6*a^2*z^2 - a^4*z^2 - 10*z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 - a^2*z^4 + 
   2*a^4*z^4 - z^6 - (4*z^6)/a^4 + (11*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 
   3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 50170] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 13*z^2 + 
   (4*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 14*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50171] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 + 4*a^2*z^2 - 12*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 + z^4 + 2*a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - a^10*z^4 + z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50172] -> 1 + z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4 - (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50173] -> 
  1 - z^2 + 2*a^2*z^2 - 2*a^6*z^2 + a^8*z^2 - 3*z^4 + 6*a^2*z^4 + a^4*z^4 - 
   6*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 3*a^4*z^6 - 6*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50174] -> 1 - 3*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50175] -> 3*a^4 - 2*a^6 - 4*z^2 + (2*z^2)/a^2 + 
   3*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   9*a^2*z^4 - 9*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50176] -> 2*a^2 - a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50177] -> a^2 + a^4 - a^6 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 50178] -> 
  -3 + 2/a^6 - 4/a^4 + 4/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + 
   (22*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50179] -> -3 - a^(-4) + 4/a^2 + a^4 - 2*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50180] -> 
  a^(-2) - a^4 + a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^4*z^2 + a^6*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50181] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 6*z^4 + z^4/a^2 + 
   10*a^2*z^4 - 11*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50182] -> a^2 + a^8 - a^10 + z^2 + 
   a^2*z^2 - a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50183] -> 
  a^2 - 2*a^4 + 5*a^6 - 3*a^8 + z^2 + 3*a^2*z^2 - 10*a^4*z^2 + 15*a^6*z^2 - 
   4*a^8*z^2 + 2*z^4 + a^2*z^4 - 16*a^4*z^4 + 13*a^6*z^4 - a^10*z^4 + z^6 - 
   a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 50184] -> 2*a^2 - 2*a^6 + a^8 - 2*z^2 + 
   6*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   10*a^2*z^4 - 14*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50185] -> a^2 + a^4 - a^6 + a^2*z^2 - a^4*z^2 + 
   7*a^6*z^2 - 9*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + a^2*z^4 - 7*a^4*z^4 + 
   16*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 8*a^4*z^6 + 
   13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 50186] -> a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50187] -> 1 - a^2 + 2*a^4 - a^6 + 4*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + 
   4*z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 50188] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 + 10*a^2*z^2 - 
   a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 - 6*z^4 + 13*a^2*z^4 + 3*a^4*z^4 - 
   12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50189] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 + a^4*z^2 + 
   5*a^6*z^2 + 3*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 + 5*a^6*z^4 + 2*a^8*z^4 - 
   3*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50190] -> 
  -4 + 2/a^2 + 5*a^2 - 4*a^4 + 3*a^6 - a^8 - 13*z^2 + (4*z^2)/a^2 + 
   16*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   21*a^2*z^4 - 21*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   14*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50191] -> -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 
   5*z^2 + 10*a^2*z^2 + 4*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 7*z^4 + 
   13*a^2*z^4 + 11*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 
   11*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50192] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 
   13*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50193] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   6*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50194] -> 2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 4*a^2*z^2 - 
   2*a^4*z^2 - 7*a^6*z^2 + 12*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 5*a^4*z^4 - 
   12*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 8*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50195] -> 
  1 - a^2 + a^4 + a^8 - a^10 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 
   4*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 50196] -> a^2 + a^8 - a^10 + 3*a^2*z^2 - 
   a^4*z^2 - 3*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 5*a^4*z^4 - 
   8*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 7*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50197] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 + 2*a^4*z^2 - 4*a^6*z^2 + 
   5*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 3*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50198] -> 
  3 - a^(-2) - a^2 - z^2 + z^2/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50199] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 
   8*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50200] -> a^2 + a^4 - 2*a^6 + 2*a^8 - 
   a^10 + 2*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 
   3*a^2*z^4 - 3*a^4*z^4 - 11*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50201] -> -1 + a^(-2) + a^2 - 10*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   12*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50202] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   3*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + z^4 - 5*a^4*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50203] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + (6*z^4)/a^8 + (21*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 50204] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + (2*z^4)/a^4 + 
   (16*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (8*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 50205] -> -3/a^8 + 4/a^6 + z^2/a^12 - 
   (4*z^2)/a^10 - (2*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (5*z^4)/a^8 + (19*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - 
   (9*z^6)/a^10 + (8*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50206] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 - z^2/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 + (9*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 50207] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 
   10*a^2*z^2 + 36*a^4*z^2 - 34*a^6*z^2 + 11*a^8*z^2 - 15*a^2*z^4 + 
   66*a^4*z^4 - 76*a^6*z^4 + 25*a^8*z^4 - 7*a^2*z^6 + 51*a^4*z^6 - 
   76*a^6*z^6 + 22*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 39*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 50208] -> -2*a^2 + 7*a^4 - 4*a^6 + 4*z^2 - 
   25*a^2*z^2 + 44*a^4*z^2 - 18*a^6*z^2 + 10*z^4 - 54*a^2*z^4 + 88*a^4*z^4 - 
   30*a^6*z^4 + 6*z^6 - 45*a^2*z^6 + 82*a^4*z^6 - 23*a^6*z^6 + z^8 - 
   16*a^2*z^8 + 40*a^4*z^8 - 8*a^6*z^8 - 2*a^2*z^10 + 10*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 50209] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 30*z^2 - (7*z^2)/a^2 - 39*a^2*z^2 + 
   15*a^4*z^2 + 58*z^4 - (11*z^4)/a^2 - 84*a^2*z^4 + 29*a^4*z^4 + 46*z^6 - 
   (6*z^6)/a^2 - 81*a^2*z^6 + 23*a^4*z^6 + 16*z^8 - z^8/a^2 - 40*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 50210] -> 7 - 3/a^2 - 3*a^2 + 41*z^2 + (6*z^2)/a^4 - 
   (28*z^2)/a^2 - 16*a^2*z^2 + 85*z^4 + (11*z^4)/a^4 - (57*z^4)/a^2 - 
   29*a^2*z^4 + 81*z^6 + (6*z^6)/a^4 - (46*z^6)/a^2 - 23*a^2*z^6 + 40*z^8 + 
   z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 50211] -> 5 - 2/a^2 - 2*a^2 + 16*z^2 + 
   (3*z^2)/a^4 - (13*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 20*z^4 + (4*z^4)/a^4 - 
   (19*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 + 14*z^6 + z^6/a^4 - (11*z^6)/a^2 + 
   12*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 50212] -> 
  4*a^4 - 4*a^6 + a^8 - 3*z^2 + 4*a^2*z^2 + 12*a^4*z^2 - 18*a^6*z^2 + 
   7*a^8*z^2 - 4*z^4 + 13*a^2*z^4 + 6*a^4*z^4 - 27*a^6*z^4 + 11*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 5*a^4*z^6 - 19*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50213] -> -a^2 + 5*a^4 - 3*a^6 - 4*z^2 + z^2/a^2 - 
   4*a^2*z^2 + 21*a^4*z^2 - 10*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   30*a^4*z^4 - 12*a^6*z^4 - 9*z^6 + z^6/a^2 + 7*a^2*z^6 + 20*a^4*z^6 - 
   6*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 7*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50214] -> 1 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 15*a^2*z^4 + 
   8*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50215] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 16*z^2 - 
   (6*z^2)/a^6 + (29*z^2)/a^4 - (40*z^2)/a^2 + 29*z^4 - (11*z^4)/a^6 + 
   (57*z^4)/a^4 - (85*z^4)/a^2 + 23*z^6 - (6*z^6)/a^6 + (46*z^6)/a^4 - 
   (81*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (40*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 50216] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + (6*z^2)/a^8 - (28*z^2)/a^6 + (42*z^2)/a^4 - 
   (15*z^2)/a^2 + (11*z^4)/a^8 - (57*z^4)/a^6 + (85*z^4)/a^4 - (29*z^4)/a^2 + 
   (6*z^6)/a^8 - (46*z^6)/a^6 + (81*z^6)/a^4 - (23*z^6)/a^2 + z^8/a^8 - 
   (16*z^8)/a^6 + (40*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 50217] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 4*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (17*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (21*z^4)/a^6 + 
   (21*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (15*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50218] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 3*z^2 - (4*z^2)/a^6 + (17*z^2)/a^4 - 
   (17*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 - (4*z^4)/a^6 + (21*z^4)/a^4 - 
   (22*z^4)/a^2 + 8*a^2*z^4 - 13*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (15*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 50219] -> 
  -2/a^6 + 3/a^4 - 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + 
   (6*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (8*z^4)/a^4 + 
   (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 50220] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 20*a^2*z^2 + 9*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 29*a^2*z^4 + 12*a^4*z^4 - 7*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   20*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 50221] -> 
  5 - 2/a^2 - 2*a^2 + 20*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (7*z^2)/a^2 - 
   9*a^2*z^2 + 29*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - 12*a^2*z^4 + 
   20*z^6 + z^6/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 50222] -> 3 - a^(-2) - a^2 + 7*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + 10*z^4 + z^4/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50223] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 4*z^2 + 
   9*a^2*z^2 + 2*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 
   4*a^4*z^4 - 17*a^6*z^4 + 8*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 
   14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50224] -> 
  3*a^4 - 2*a^6 - 8*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 - 
   14*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + 
   z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50225] -> 
  -1 + a^(-2) + a^2 - 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 - 15*a^2*z^4 + 8*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 14*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50226] -> -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 7*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (6*z^4)/a^4 - (13*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (13*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 50227] -> 1 + z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^2 + a^2*z^2 - z^4 - z^4/a^8 + (4*z^4)/a^6 - (8*z^4)/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - z^6/a^4 - (6*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 50228] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (7*z^2)/a^10 + (29*z^2)/a^8 - 
   (37*z^2)/a^6 + (18*z^2)/a^4 - (11*z^4)/a^10 + (58*z^4)/a^8 - 
   (83*z^4)/a^6 + (30*z^4)/a^4 - (6*z^6)/a^10 + (46*z^6)/a^8 - (81*z^6)/a^6 + 
   (23*z^6)/a^4 - z^8/a^10 + (16*z^8)/a^8 - (40*z^8)/a^6 + (8*z^8)/a^4 + 
   (2*z^10)/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 50229] -> -5/a^10 + 7/a^8 - a^(-6) + (4*z^2)/a^12 - 
   (29*z^2)/a^10 + (47*z^2)/a^8 - (11*z^2)/a^6 + (10*z^4)/a^12 - 
   (55*z^4)/a^10 + (92*z^4)/a^8 - (25*z^4)/a^6 + (6*z^6)/a^12 - 
   (45*z^6)/a^10 + (83*z^6)/a^8 - (22*z^6)/a^6 + z^8/a^12 - (16*z^8)/a^10 + 
   (40*z^8)/a^8 - (8*z^8)/a^6 - (2*z^10)/a^10 + (10*z^10)/a^8 - z^10/a^6 + 
   z^12/a^8, Knot[15, Alternating, 50230] -> -4/a^10 + 5/a^8 + (3*z^2)/a^12 - 
   (16*z^2)/a^10 + (20*z^2)/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + (4*z^4)/a^12 - 
   (20*z^4)/a^10 + (24*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - 
   (11*z^6)/a^10 + (15*z^6)/a^8 + (13*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50231] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (16*z^2)/a^8 - (15*z^2)/a^6 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (21*z^4)/a^8 - (21*z^4)/a^6 - (11*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (15*z^6)/a^6 - (13*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50232] -> -3/a^10 + 3/a^8 + a^(-6) + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (9*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (14*z^4)/a^10 + (12*z^4)/a^8 + (20*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (9*z^6)/a^10 + (10*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50233] -> -3/a^10 + 3/a^8 + a^(-6) + (2*z^2)/a^12 - 
   (7*z^2)/a^10 + (5*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (3*z^4)/a^8 + (12*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (2*z^6)/a^10 + (2*z^6)/a^8 + (7*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50234] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (10*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50235] -> -2/a^10 + a^(-8) + 2/a^6 + z^2/a^12 - 
   (7*z^2)/a^10 + (6*z^2)/a^8 + (11*z^2)/a^6 - (3*z^2)/a^4 + (3*z^4)/a^12 - 
   (12*z^4)/a^10 + (10*z^4)/a^8 + (18*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - 
   (9*z^6)/a^10 + (9*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50236] -> -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - 
   (4*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (4*z^4)/a^10 + z^4/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50237] -> 
  2/a^8 - 6/a^6 + 5/a^4 - (5*z^2)/a^10 + (26*z^2)/a^8 - (40*z^2)/a^6 + 
   (20*z^2)/a^4 - (20*z^4)/a^10 + (65*z^4)/a^8 - (76*z^4)/a^6 + 
   (21*z^4)/a^4 - (21*z^6)/a^10 + (70*z^6)/a^8 - (57*z^6)/a^6 + (8*z^6)/a^4 - 
   (8*z^8)/a^10 + (38*z^8)/a^8 - (18*z^8)/a^6 + z^8/a^4 - z^10/a^10 + 
   (10*z^10)/a^8 - (2*z^10)/a^6 + z^12/a^8, Knot[15, Alternating, 50238] -> 
  4 + 3/a^4 - 6/a^2 + 14*z^2 - (8*z^2)/a^6 + (30*z^2)/a^4 - (39*z^2)/a^2 + 
   16*z^4 - (24*z^4)/a^6 + (72*z^4)/a^4 - (70*z^4)/a^2 + 7*z^6 - 
   (22*z^6)/a^6 + (75*z^6)/a^4 - (52*z^6)/a^2 + z^8 - (8*z^8)/a^6 + 
   (39*z^8)/a^4 - (17*z^8)/a^2 - z^10/a^6 + (10*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 50239] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 
   (4*z^2)/a^10 + (16*z^2)/a^8 - (17*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 
   (10*z^4)/a^10 + (24*z^4)/a^8 - (13*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^10 + (18*z^6)/a^8 + (3*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50240] -> 4 - 6*a^2 + 3*a^4 + 31*z^2 - (9*z^2)/a^2 - 
   38*a^2*z^2 + 13*a^4*z^2 + 73*z^4 - (24*z^4)/a^2 - 69*a^2*z^4 + 
   16*a^4*z^4 + 75*z^6 - (22*z^6)/a^2 - 52*a^2*z^6 + 7*a^4*z^6 + 39*z^8 - 
   (8*z^8)/a^2 - 17*a^2*z^8 + a^4*z^8 + 10*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 50241] -> 2 + a^(-2) - 5*a^2 + 3*a^4 + 9*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 20*a^2*z^2 + 7*a^4*z^2 + 15*z^4 - 
   (7*z^4)/a^4 + (10*z^4)/a^2 - 24*a^2*z^4 + 5*a^4*z^4 + 13*z^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 - 12*a^2*z^6 + a^4*z^6 + 6*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50242] -> 
  2 + 3/a^4 - 5/a^2 + a^2 - 4*z^2 - (6*z^2)/a^6 + (17*z^2)/a^4 - 
   (15*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (11*z^4)/a^6 + (26*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (6*z^6)/a^6 + (19*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (7*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50243] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - (7*z^4)/a^10 + (15*z^4)/a^8 - 
   (2*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (13*z^6)/a^8 + 
   (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50244] -> 5*a^4 - 6*a^6 + 2*a^8 - 8*a^2*z^2 + 
   33*a^4*z^2 - 37*a^6*z^2 + 13*a^8*z^2 - 24*a^2*z^4 + 73*a^4*z^4 - 
   69*a^6*z^4 + 16*a^8*z^4 - 22*a^2*z^6 + 75*a^4*z^6 - 52*a^6*z^6 + 
   7*a^8*z^6 - 8*a^2*z^8 + 39*a^4*z^8 - 17*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   10*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 50245] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 3*a^2*z^2 + 10*a^4*z^2 - 18*a^6*z^2 + 
   7*a^8*z^2 - 7*z^4 + 9*a^2*z^4 + 14*a^4*z^4 - 24*a^6*z^4 + 5*a^8*z^4 - 
   5*z^6 + 12*a^2*z^6 + 13*a^4*z^6 - 12*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50246] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 4*z^2 + 
   9*a^2*z^2 + a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 8*z^4 + 16*a^2*z^4 + 
   4*a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50247] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (4*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50248] -> 4 - 5*a^2 + a^4 + a^6 + 17*z^2 - 
   (6*z^2)/a^2 - 15*a^2*z^2 - 4*a^4*z^2 + 4*a^6*z^2 + 26*z^4 - (11*z^4)/a^2 - 
   8*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 19*z^6 - (6*z^6)/a^2 + 5*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 50249] -> 2 + a^(-2) - 4*a^2 + a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^4 + z^2/a^2 - 8*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   9*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 50250] -> 3/a^4 - 4/a^2 + 2*a^2 - 10*z^2 - 
   (4*z^2)/a^6 + (10*z^2)/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (8*z^4)/a^6 + (16*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50251] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (7*z^4)/a^10 + (14*z^4)/a^8 - (2*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (13*z^6)/a^8 + (6*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50252] -> 1 + 2/a^8 - 3/a^6 + a^(-2) + 2*z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 - (6*z^2)/a^4 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50253] -> 
  6*a^8 - 6*a^10 + a^12 - 5*a^6*z^2 + 40*a^8*z^2 - 36*a^10*z^2 + 
   10*a^12*z^2 - 20*a^6*z^4 + 81*a^8*z^4 - 66*a^10*z^4 + 15*a^12*z^4 - 
   21*a^6*z^6 + 77*a^8*z^6 - 51*a^10*z^6 + 7*a^12*z^6 - 8*a^6*z^8 + 
   39*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 50254] -> 
  a^6 + 4*a^8 - 5*a^10 + a^12 - a^4*z^2 + 7*a^6*z^2 + 14*a^8*z^2 - 
   18*a^10*z^2 + 6*a^12*z^2 - 6*a^4*z^4 + 12*a^6*z^4 + 17*a^8*z^4 - 
   23*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 13*a^8*z^6 - 
   12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 50255] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 - 2*a^4*z^2 + 12*a^6*z^2 + 4*a^8*z^2 - 
   11*a^10*z^2 + 4*a^12*z^2 - 7*a^4*z^4 + 18*a^6*z^4 + 6*a^8*z^4 - 
   16*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 8*a^8*z^6 - 
   10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 50256] -> 
  2*a^6 + 2*a^8 - 4*a^10 + a^12 + a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 
   7*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 9*a^6*z^4 - 7*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50257] -> 
  3*a^6 - 3*a^10 + a^12 - 3*a^4*z^2 + 14*a^6*z^2 + 2*a^8*z^2 - 11*a^10*z^2 + 
   4*a^12*z^2 - 7*a^4*z^4 + 19*a^6*z^4 + 6*a^8*z^4 - 16*a^10*z^4 + 
   4*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 8*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 50258] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 - a^2*z^2 + 
   3*a^4*z^2 + 6*a^6*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 2*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 
   6*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 50259] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 37*z^2 + 
   (9*z^2)/a^4 - (32*z^2)/a^2 - 13*a^2*z^2 + 69*z^4 + (24*z^4)/a^4 - 
   (73*z^4)/a^2 - 16*a^2*z^4 + 52*z^6 + (22*z^6)/a^4 - (75*z^6)/a^2 - 
   7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (39*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 50260] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 15*z^2 + z^2/a^6 - (10*z^2)/a^2 - 6*a^2*z^2 + 
   22*z^4 + (6*z^4)/a^6 - (7*z^4)/a^4 - (13*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + 
   (5*z^6)/a^6 - (11*z^6)/a^4 - (12*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 50261] -> a^(-4) - a^(-2) + a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - 
   (7*z^4)/a^6 + (13*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (13*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50262] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + 9*z^2 - 31*a^2*z^2 + 38*a^4*z^2 - 13*a^6*z^2 + 
   24*z^4 - 73*a^2*z^4 + 69*a^4*z^4 - 16*a^6*z^4 + 22*z^6 - 75*a^2*z^6 + 
   52*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 39*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + 
   z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 50263] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 18*a^4*z^2 - 7*a^6*z^2 - 9*z^4 + (7*z^4)/a^2 - 
   14*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 12*z^6 + (5*z^6)/a^2 - 13*a^2*z^6 + 
   12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 50264] -> 1 - a^2 + 2*a^4 - a^6 - 5*z^2 + 
   (2*z^2)/a^2 + 8*a^4*z^2 - 4*a^6*z^2 - 13*z^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 
   15*a^4*z^4 - 4*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 7*a^2*z^6 + 10*a^4*z^6 - 
   a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50265] -> 4 + a^(-4) - 3/a^2 - a^2 + 13*z^2 + 
   (6*z^2)/a^4 - (18*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + 
   (11*z^4)/a^4 - (26*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (6*z^6)/a^4 - (19*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50266] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + a^2*z^2 - 
   2*a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 50267] -> 
  -2 + a^(-4) + 2*a^2 - 11*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 17*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50268] -> 1 + a^2 - 2*a^4 + a^6 + 7*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 14*z^4 - (7*z^4)/a^2 + 
   2*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 + 13*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 50269] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 
   z^2/a^4 - 3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50270] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 11*a^4*z^2 - 
   27*a^6*z^2 + 39*a^8*z^2 - 14*a^10*z^2 + 25*a^4*z^4 - 71*a^6*z^4 + 
   70*a^8*z^4 - 16*a^10*z^4 + 22*a^4*z^6 - 75*a^6*z^6 + 52*a^8*z^6 - 
   7*a^10*z^6 + 8*a^4*z^8 - 39*a^6*z^8 + 17*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   10*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 50271] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 3*a^2*z^2 - 7*a^6*z^2 + 19*a^8*z^2 - 
   7*a^10*z^2 + 7*a^2*z^4 - 9*a^4*z^4 - 14*a^6*z^4 + 24*a^8*z^4 - 
   5*a^10*z^4 + 5*a^2*z^6 - 12*a^4*z^6 - 13*a^6*z^6 + 12*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50272] -> a^4 + 2*a^8 - 2*a^10 + 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 11*a^8*z^2 - 5*a^10*z^2 + 8*a^2*z^4 - 15*a^4*z^4 - 
   3*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 8*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50273] -> 
  a^4 + 2*a^8 - 2*a^10 + z^2 + 2*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 9*a^4*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 50274] -> a^4 + a^6 - a^10 + 3*a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + 7*a^8*z^2 - 4*a^10*z^2 + 7*a^2*z^4 - 13*a^4*z^4 - 
   a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 7*a^6*z^6 + 
   10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50275] -> 
  2*a^4 - a^6 + a^8 - a^10 + z^2 + 2*a^6*z^2 + 4*a^8*z^2 - 2*a^10*z^2 + 
   2*z^4 - a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 50276] -> -2/a^14 - a^(-12) + 4/a^10 - 
   (4*z^2)/a^16 - (9*z^2)/a^14 + (12*z^2)/a^12 + (18*z^2)/a^10 - 
   (10*z^4)/a^16 - (2*z^4)/a^14 + (38*z^4)/a^12 + (30*z^4)/a^10 - 
   (6*z^6)/a^16 + (9*z^6)/a^14 + (38*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + 
   (6*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 50277] -> -2/a^14 + 2/a^10 + a^(-8) - 
   (3*z^2)/a^16 - (5*z^2)/a^14 + (6*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 - 
   (4*z^4)/a^16 - z^4/a^14 + (18*z^4)/a^12 + (23*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^16 + (3*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 50278] -> -2/a^14 + a^(-12) + 2/a^8 - (2*z^2)/a^16 - 
   (5*z^2)/a^14 + (5*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - 
   (2*z^4)/a^14 + (14*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   (2*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50279] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - 
   (2*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (8*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50280] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (4*z^4)/a^8 + z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50281] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 - z^2/a^2 + 
   7*a^2*z^2 - 8*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 7*a^2*z^4 - 
   7*a^4*z^4 - 7*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50282] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - z^2 - z^2/a^2 + 7*a^2*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 + 3*z^4 - z^4/a^2 + 7*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 
   4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50283] -> 
  2*a^2 - 2*a^6 + a^8 - 3*z^2 + 9*a^2*z^2 - 2*a^4*z^2 - 9*a^6*z^2 + 
   5*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 6*a^4*z^4 - 17*a^6*z^4 + 8*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 14*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50284] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - z^2/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   4*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50285] -> 1 - 2/a^4 + 3/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 16*z^4 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (8*z^4)/a^2 - 8*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50286] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 - 
   a^2*z^2 - a^4*z^2 + 8*z^4 + z^4/a^6 - (4*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 50287] -> 3 + 2/a^4 - 4/a^2 + 10*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (20*z^2)/a^2 + 12*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - z^4/a^4 - (30*z^4)/a^2 + 6*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (7*z^6)/a^4 - (20*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 50288] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + z^4/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 50289] -> 4 + a^(-6) + a^(-4) - 5/a^2 + 10*z^2 - 
   (4*z^2)/a^8 + (7*z^2)/a^6 + (7*z^2)/a^4 - (24*z^2)/a^2 + 6*z^4 - 
   (10*z^4)/a^8 + (15*z^4)/a^6 + (15*z^4)/a^4 - (31*z^4)/a^2 + z^6 - 
   (6*z^6)/a^8 + (16*z^6)/a^6 + (16*z^6)/a^4 - (14*z^6)/a^2 - z^8/a^8 + 
   (7*z^8)/a^6 + (7*z^8)/a^4 - (2*z^8)/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 50290] -> 2 + a^(-6) + a^(-4) - 4/a^2 + a^2 - 3*z^2 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (4*z^4)/a^8 + (4*z^4)/a^6 + (11*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 50291] -> 
  2*a^2 + a^4 - 4*a^6 + 2*a^8 - 2*z^2 + 5*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 
   3*a^8*z^2 - z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 7*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50292] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 6*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 50293] -> 
  3*a^6 - 3*a^10 + a^12 + a^4*z^2 + 8*a^6*z^2 - 5*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50294] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 + 2*z^2 - (3*z^2)/a^10 + (8*z^2)/a^8 - 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (4*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50295] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 4*z^4 + 
   (8*z^4)/a^4 - (17*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50296] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + z^2/a^6 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 50297] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (5*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (14*z^4)/a^8 - 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50298] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (18*z^2)/a^6 - (5*z^2)/a^4 + (3*z^4)/a^12 - 
   (13*z^4)/a^10 + (7*z^4)/a^8 + (22*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (9*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50299] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - 
   (3*z^2)/a^10 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 + (9*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 50300] -> 3 + 2/a^4 - 4/a^2 + 10*z^2 - 
   (5*z^2)/a^6 + (20*z^2)/a^4 - (27*z^2)/a^2 + 12*z^4 - (17*z^4)/a^6 + 
   (51*z^4)/a^4 - (51*z^4)/a^2 + 6*z^6 - (17*z^6)/a^6 + (57*z^6)/a^4 - 
   (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (32*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 50301] -> 3 - 4*a^2 + 2*a^4 + 27*z^2 - (8*z^2)/a^2 - 
   32*a^2*z^2 + 11*a^4*z^2 + 61*z^4 - (20*z^4)/a^2 - 57*a^2*z^4 + 
   13*a^4*z^4 + 62*z^6 - (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - 
   (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 50302] -> 1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (8*z^4)/a^6 + (19*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50303] -> 4*a^4 - 4*a^6 + a^8 - 9*a^2*z^2 + 
   31*a^4*z^2 - 29*a^6*z^2 + 9*a^8*z^2 - 21*a^2*z^4 + 64*a^4*z^4 - 
   54*a^6*z^4 + 12*a^8*z^4 - 18*a^2*z^6 + 63*a^4*z^6 - 42*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 50304] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 3*z^2 + 4*a^2*z^2 + 9*a^4*z^2 - 14*a^6*z^2 + 
   5*a^8*z^2 - 6*z^4 + 9*a^2*z^4 + 13*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 11*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50305] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + a^2*z^2 + a^4*z^2 - 6*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 50306] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - 17*a^2*z^2 + 12*a^4*z^2 + 3*a^6*z^2 - 
   3*a^8*z^2 + 11*z^4 - 27*a^2*z^4 + 6*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   6*z^6 - 19*a^2*z^6 - 5*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 50307] -> 1 - a^2 + 2*a^4 - a^6 - z^2 + (2*z^2)/a^2 - 
   6*a^2*z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 
   9*a^2*z^4 + 4*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50308] -> 1 - 3*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 
   4*a^4*z^2 - a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 5*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 50309] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + 
   (9*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 - 
   z^4/a^8 + (12*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (2*z^6)/a^8 + (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50310] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50311] -> 5 - a^(-2) - 4*a^2 + a^6 + 21*z^2 - 
   (6*z^2)/a^2 - 17*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 + 27*z^4 - (5*z^4)/a^2 - 
   24*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 + 13*z^6 - z^6/a^2 - 18*a^2*z^6 - 
   17*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 50312] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 + a^4*z^2 + 
   2*a^6*z^2 + z^4 - z^4/a^4 + (6*z^4)/a^2 - 12*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 50313] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (10*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 6*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (8*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50314] -> 3 - 3*a^2 + a^6 + 6*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 11*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 14*a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   9*a^2*z^6 - 4*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50315] -> a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^6*z^2 + z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   11*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 
   3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50316] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (11*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (7*z^4)/a^10 + (9*z^4)/a^8 + (7*z^4)/a^4 - 
   (3*z^4)/a^2 - (2*z^6)/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 50317] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 + z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (3*z^4)/a^6 - (11*z^4)/a^4 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - 
   (7*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50318] -> 1 + 2*a^4 - 4*a^6 + 2*a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50319] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (7*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50320] -> a^4 + 3*a^8 - 4*a^10 + a^12 - a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 9*a^8*z^2 - 9*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 + 7*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 50321] -> 1 + 2/a^4 - 3/a^2 + a^2 - 4*z^2 - 
   z^2/a^8 + (6*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - (3*z^4)/a^8 + 
   z^4/a^6 + (9*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50322] -> 2 - 3*a^2 + 3*a^4 - a^6 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 8*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 50323] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 6*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 50324] -> 
  2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + 2*z^2 - 3*a^2*z^2 + 6*a^4*z^2 - 
   6*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 6*a^2*z^4 + 2*a^4*z^4 - 
   7*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50325] -> -3/a^14 + a^(-12) + 3/a^10 - (6*z^2)/a^16 - 
   (7*z^2)/a^14 + (15*z^2)/a^12 + (16*z^2)/a^10 - (11*z^4)/a^16 + z^4/a^14 + 
   (41*z^4)/a^12 + (29*z^4)/a^10 - (6*z^6)/a^16 + (10*z^6)/a^14 + 
   (39*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + (15*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 50326] -> -2/a^14 - a^(-12) + 4/a^10 - (3*z^2)/a^16 - 
   (7*z^2)/a^14 + (8*z^2)/a^12 + (16*z^2)/a^10 + (3*z^2)/a^8 - (4*z^4)/a^16 - 
   (2*z^4)/a^14 + (21*z^4)/a^12 + (26*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + 
   (3*z^6)/a^14 + (15*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50327] -> 
  -3/a^14 + 2/a^12 + a^(-10) + a^(-8) - (4*z^2)/a^16 - (5*z^2)/a^14 + 
   (10*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 - (4*z^4)/a^16 + 
   (20*z^4)/a^12 + (23*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + 
   (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50328] -> 
  -2/a^14 + 2/a^10 + a^(-8) - (2*z^2)/a^16 - (4*z^2)/a^14 + (4*z^2)/a^12 + 
   (11*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 + (9*z^4)/a^12 + 
   (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 50329] -> 
  3*a^2 - 3*a^4 + a^6 + 4*z^2 - (4*z^2)/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 
   3*a^6*z^2 + 14*z^4 - (8*z^4)/a^2 + 11*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 50330] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 12*a^2*z^2 + 7*a^4*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 - 19*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50331] -> 
  2/a^2 - 4*a^2 + 3*a^4 - z^2 - (6*z^2)/a^4 + (12*z^2)/a^2 - 17*a^2*z^2 + 
   7*a^4*z^2 + 6*z^4 - (11*z^4)/a^4 + (22*z^4)/a^2 - 23*a^2*z^4 + 5*a^4*z^4 + 
   11*z^6 - (6*z^6)/a^4 + (18*z^6)/a^2 - 12*a^2*z^6 + a^4*z^6 + 6*z^8 - 
   z^8/a^4 + (7*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 50332] -> 2/a^2 - 3*a^2 + a^4 + a^6 + 3*z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 10*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50333] -> 2 + a^(-4) - 2/a^2 + z^2 + (5*z^2)/a^4 - 
   (11*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 4*z^4 + (8*z^4)/a^4 - 
   (17*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50334] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 - (5*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - z^4/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 50335] -> 
  2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 - 
   (7*z^2)/a^4 + z^2/a^2 + z^4 - (3*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50336] -> 3/a^4 - 4/a^2 + 2*a^2 - 8*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50337] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 + (2*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50338] -> 
  9 - 4/a^2 - 4*a^2 + 42*z^2 + (6*z^2)/a^4 - (28*z^2)/a^2 - 16*a^2*z^2 + 
   75*z^4 + (9*z^4)/a^4 - (49*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - 
   (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 50339] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 21*z^2 - (5*z^2)/a^2 - 26*a^2*z^2 + 10*a^4*z^2 + 
   42*z^4 - (8*z^4)/a^2 - 60*a^2*z^4 + 21*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 
   62*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 50340] -> 
  1 + 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50341] -> 
  -5/a^6 + 9/a^4 - 3/a^2 + (4*z^2)/a^8 - (24*z^2)/a^6 + (41*z^2)/a^4 - 
   (15*z^2)/a^2 + (8*z^4)/a^8 - (45*z^4)/a^6 + (74*z^4)/a^4 - (25*z^4)/a^2 + 
   (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 50342] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 13*z^2 - (6*z^2)/a^6 + (26*z^2)/a^4 - 
   (33*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + (48*z^4)/a^4 - (70*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 50343] -> -4/a^6 + 7/a^4 - 2/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (20*z^2)/a^4 - z^2/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (21*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50344] -> 5 - 8*a^2 + 4*a^4 + 40*z^2 - (12*z^2)/a^2 - 
   48*a^2*z^2 + 16*a^4*z^2 + 85*z^4 - (28*z^4)/a^2 - 78*a^2*z^4 + 
   17*a^4*z^4 + 81*z^6 - (23*z^6)/a^2 - 54*a^2*z^6 + 7*a^4*z^6 + 40*z^8 - 
   (8*z^8)/a^2 - 17*a^2*z^8 + a^4*z^8 + 10*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 50345] -> 1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (11*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (8*z^4)/a^6 + (19*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50346] -> 5 - 7*a^2 + 2*a^4 + a^6 + 21*z^2 - 
   (8*z^2)/a^2 - 17*a^2*z^2 - 6*a^4*z^2 + 5*a^6*z^2 + 29*z^4 - (12*z^4)/a^2 - 
   7*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 20*z^6 - (6*z^6)/a^2 + 6*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 50347] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 
   37*z^2 + (10*z^2)/a^4 - (33*z^2)/a^2 - 12*a^2*z^2 + 59*z^4 + 
   (21*z^4)/a^4 - (65*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - 
   (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 50348] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50349] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 + 8*z^2 - 28*a^2*z^2 + 36*a^4*z^2 - 12*a^6*z^2 + 
   20*z^4 - 61*a^2*z^4 + 58*a^4*z^4 - 13*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 
   43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 50350] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 + z^2 + z^2/a^2 - 11*a^2*z^2 + 18*a^4*z^2 - 
   6*a^6*z^2 - 5*z^4 + (5*z^4)/a^2 - 14*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50351] -> 1 + a^2 - 2*a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 12*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - 6*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50352] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 4*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 10*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50353] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 10*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - z^4/a^4 + 
   (6*z^4)/a^2 - 13*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50354] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 11*a^2*z^2 + 5*a^4*z^2 + 
   z^4 - z^4/a^6 + (5*z^4)/a^4 - (5*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 - 
   2*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 50355] -> 1 + a^(-4) - 4*a^2 + 3*a^4 + 
   4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 
   7*z^4 - (4*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - 10*a^2*z^4 + a^4*z^4 + 
   5*z^6 - z^6/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 50356] -> 1 + a^(-4) - 3*a^2 + a^4 + a^6 + 
   z^2 - (2*z^2)/a^6 + z^2/a^4 - 5*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 50357] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 + a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - z^4 + a^4*z^4 + a^6*z^4 - 2*a^10*z^4 + 
   a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 50358] -> 
  1 + 2/a^8 - 4/a^6 + 2/a^4 + 3*z^2 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (9*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 - (4*z^4)/a^10 + 
   (9*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 50359] -> 
  1 + 3/a^4 - 4/a^2 + a^4 + z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - (9*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (4*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (5*z^6)/a^4 + (2*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 50360] -> 
  2 + a^(-4) - 2/a^2 + 9*z^2 - (4*z^2)/a^6 + (17*z^2)/a^4 - (23*z^2)/a^2 + 
   12*z^4 - (16*z^4)/a^6 + (48*z^4)/a^4 - (49*z^4)/a^2 + 6*z^6 - 
   (17*z^6)/a^6 + (56*z^6)/a^4 - (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (32*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 50361] -> 3 + 2/a^4 - 4/a^2 + z^2 - 
   (4*z^2)/a^6 + (13*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (8*z^4)/a^6 + (20*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50362] -> 2 - 2*a^2 + a^4 + 26*z^2 - (9*z^2)/a^2 - 
   26*a^2*z^2 + 8*a^4*z^2 + 61*z^4 - (20*z^4)/a^2 - 52*a^2*z^4 + 12*a^4*z^4 + 
   62*z^6 - (18*z^6)/a^2 - 42*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 50363] -> 3 - 4*a^2 + 2*a^4 + 15*z^2 - (6*z^2)/a^2 - 
   12*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 7*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 50364] -> 4 + a^(-4) - 3/a^2 - a^2 + 25*z^2 + 
   (6*z^2)/a^4 - (22*z^2)/a^2 - 9*a^2*z^2 + 50*z^4 + (17*z^4)/a^4 - 
   (52*z^4)/a^2 - 12*a^2*z^4 + 41*z^6 + (17*z^6)/a^4 - (57*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 50365] -> 
  2 + a^(-4) - 2/a^2 + 9*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 
   3*a^4*z^2 + 7*z^4 + (8*z^4)/a^4 - (19*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50366] -> 2 - 2*a^2 + a^4 + 18*z^2 - (5*z^2)/a^2 - 
   22*a^2*z^2 + 8*a^4*z^2 + 49*z^4 - (16*z^4)/a^2 - 48*a^2*z^4 + 12*a^4*z^4 + 
   56*z^6 - (17*z^6)/a^2 - 41*a^2*z^6 + 6*a^4*z^6 + 32*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 50367] -> 3 - 4*a^2 + 2*a^4 + 10*z^2 - z^2/a^4 - 
   z^2/a^2 - 15*a^2*z^2 + 5*a^4*z^2 + 13*z^4 - (4*z^4)/a^4 + (4*z^4)/a^2 - 
   18*a^2*z^4 + 4*a^4*z^4 + 10*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 
   a^4*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 50368] -> 3*a^4 - 2*a^6 - 8*a^2*z^2 + 28*a^4*z^2 - 
   25*a^6*z^2 + 8*a^8*z^2 - 20*a^2*z^4 + 61*a^4*z^4 - 52*a^6*z^4 + 
   12*a^8*z^4 - 18*a^2*z^6 + 62*a^4*z^6 - 42*a^6*z^6 + 6*a^8*z^6 - 
   7*a^2*z^8 + 33*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 50369] -> 
  4*a^4 - 4*a^6 + a^8 - 2*z^2 + a^2*z^2 + 13*a^4*z^2 - 15*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 6*a^2*z^4 + 15*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 9*a^2*z^6 + 11*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50370] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + z^2/a^6 - 
   (6*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50371] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50372] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 + (4*z^2)/a^4 - (10*z^2)/a^2 - 
   4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 50373] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 50374] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50375] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 11*z^4 + 
   z^4/a^6 - (9*z^4)/a^4 + (16*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 50376] -> 
  1 - 6*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (9*z^4)/a^2 + 12*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50377] -> 
  -2/a^6 + 3/a^4 + (2*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 
   2*a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 + (11*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 50378] -> 
  3*a^4 - 2*a^6 - 4*z^2 + 4*a^2*z^2 + 8*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + 
   z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 
   7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50379] -> 1 - a^(-10) + 3/a^8 - 3/a^6 + a^(-4) + 
   3*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (9*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 - (9*z^4)/a^6 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (4*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 50380] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 7*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50381] -> a^(-4) - a^(-2) + a^2 - 8*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 50382] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 50383] -> -2/a^14 + a^(-12) + 2/a^8 - (2*z^2)/a^16 - 
   (3*z^2)/a^14 + (4*z^2)/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 + (8*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50384] -> 3*a^4 - 2*a^6 - 4*z^2 + 4*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 10*a^2*z^4 + 
   8*a^4*z^4 - 4*a^6*z^4 - (2*z^6)/a^2 + 7*a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + 
   z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 50385] -> 
  a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 6*z^2 - (2*z^2)/a^8 + (4*z^2)/a^4 - 
   (3*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 50386] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 3*z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 - z^2/a^2 + 3*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 + z^4/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50387] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50388] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + 
   (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50389] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 5*z^2 - z^2/a^8 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   a^4*z^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 50390] -> 
  2 - 2*a^2 + a^4 + z^2 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 50391] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   (4*z^2)/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^4)/a^14 + (14*z^4)/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 50392] -> 
  -a^(-12) + 2/a^6 - (2*z^2)/a^14 + z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50393] -> -a^(-8) + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - (2*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50394] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 15*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 - 9*a^2*z^2 + 25*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (13*z^4)/a^2 - 12*a^2*z^4 + 19*z^6 + z^6/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (6*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 50395] -> 
  4 - a^(-4) - 2*a^2 + 11*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + 2*a^2*z^4 - 
   3*a^4*z^4 + 8*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50396] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 14*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - 
   (9*z^2)/a^2 + 9*a^2*z^2 - 25*z^4 - (4*z^4)/a^6 + (20*z^4)/a^4 - 
   (14*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 - z^6/a^6 + (11*z^6)/a^4 - 
   (13*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 50397] -> 
  2 + a^(-4) - 2/a^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   2*a^2*z^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 - (10*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 50398] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^4)/a^12 - (6*z^4)/a^10 - (2*z^4)/a^8 + (24*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 50399] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + z^2/a^12 - (5*z^2)/a^10 + (9*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   (7*z^4)/a^8 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 50400] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 
   4*a^4*z^2 + 19*a^6*z^2 - 8*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 8*a^4*z^4 + 
   25*a^6*z^4 - 5*a^8*z^4 - 9*a^10*z^4 + 3*a^12*z^4 - 5*a^4*z^6 + 
   16*a^6*z^6 + 3*a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 50401] -> 2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 - 
   2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 7*a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 6*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50402] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + (6*z^2)/a^4 - (14*z^2)/a^2 + 
   15*a^2*z^2 - 7*a^4*z^2 - 5*z^4 + (11*z^4)/a^4 - (22*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 11*z^6 + (6*z^6)/a^4 - (18*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 50403] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 
   5*z^2 + z^2/a^6 + z^2/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + 
   (3*z^4)/a^6 - z^4/a^4 - (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 50404] -> 
  3 - 3*a^2 + a^6 + 6*z^2 - (2*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 9*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 4*a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50405] -> 
  a^4 + 2*a^6 - 2*a^8 + 4*a^2*z^2 - 9*a^4*z^2 + 13*a^6*z^2 - a^8*z^2 - 
   2*a^10*z^2 + 8*a^2*z^4 - 19*a^4*z^4 + 10*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 2*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50406] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 2*z^2 - 
   5*a^2*z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   7*a^2*z^4 + 5*a^4*z^4 - 5*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50407] -> -4/a^14 + 3/a^12 + 2/a^10 - (6*z^2)/a^16 - 
   (8*z^2)/a^14 + (18*z^2)/a^12 + (15*z^2)/a^10 - (11*z^4)/a^16 + z^4/a^14 + 
   (42*z^4)/a^12 + (29*z^4)/a^10 - (6*z^6)/a^16 + (10*z^6)/a^14 + 
   (39*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + (15*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 50408] -> -3/a^14 + a^(-12) + 3/a^10 - (4*z^2)/a^16 - 
   (5*z^2)/a^14 + (9*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 - (4*z^4)/a^16 + 
   (20*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + 
   (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50409] -> 
  -2/a^14 - a^(-12) + 4/a^10 - (2*z^2)/a^16 - (7*z^2)/a^14 + (6*z^2)/a^12 + 
   (16*z^2)/a^10 + (4*z^2)/a^8 - (3*z^4)/a^16 - (3*z^4)/a^14 + 
   (17*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50410] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 - 6*z^2 + 14*a^2*z^2 - 2*a^4*z^2 - 15*a^6*z^2 + 
   7*a^8*z^2 - 11*z^4 + 22*a^2*z^4 + 5*a^4*z^4 - 23*a^6*z^4 + 5*a^8*z^4 - 
   6*z^6 + 18*a^2*z^6 + 11*a^4*z^6 - 12*a^6*z^6 + a^8*z^6 - z^8 + 7*a^2*z^8 + 
   6*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50411] -> 1 + a^2 - 3*a^6 + 2*a^8 + z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 8*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50412] -> -a^(-14) - a^(-12) + 3/a^10 - 2/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (4*z^2)/a^12 + (8*z^2)/a^10 - (5*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^14 + (14*z^4)/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (6*z^6)/a^10 - (12*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 50413] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - (2*z^2)/a^16 - (6*z^2)/a^14 + 
   (4*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^16 - (3*z^4)/a^14 + 
   (16*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50414] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - z^2/a^16 - (4*z^2)/a^14 + z^2/a^12 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (7*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50415] -> 3/a^4 - 4/a^2 + 2*a^2 - 8*z^2 - 
   (4*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50416] -> 2 - a^2 - a^4 + a^6 - 3*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 10*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   10*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 50417] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50418] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 3*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (10*z^2)/a^4 + (3*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (10*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (8*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50419] -> 
  1 + a^(-6) - 2/a^2 + a^2 - 7*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (10*z^4)/a^4 + (13*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (9*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 50420] -> a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 
   2*z^2 + a^2*z^2 + 13*a^4*z^2 - 19*a^6*z^2 + 6*a^8*z^2 - 5*z^4 + 
   6*a^2*z^4 + 15*a^4*z^4 - 20*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 
   11*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50421] -> 
  -1 + a^(-6) - a^(-2) + 2*a^2 - 5*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 50422] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^4*z^2 + 16*a^6*z^2 - 9*a^8*z^2 - 
   a^10*z^2 + a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 18*a^6*z^4 - 9*a^8*z^4 - 
   2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50423] -> 
  1 + a^(-2) - 2*a^2 + a^6 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50424] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 50425] -> -2/a^14 - a^(-12) + 4/a^10 - 
   (2*z^2)/a^16 - (5*z^2)/a^14 + (6*z^2)/a^12 + (12*z^2)/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 + (11*z^4)/a^12 + (15*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 50426] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50427] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 4*z^2 + 
   z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (5*z^4)/a^2 - a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + 2*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50428] -> 1 - a^2 + 2*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + 11*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 50429] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 + 
   z^2/a^2 + 14*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 22*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50430] -> -a^(-8) + 2/a^4 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + z^4/a^8 + (11*z^4)/a^6 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50431] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + 2*a^2*z^2 + 9*a^4*z^2 - 12*a^6*z^2 + 
   4*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 12*a^4*z^4 - 15*a^6*z^4 + 3*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 9*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50432] -> 1 - a^2 + 2*a^4 - a^6 - 3*z^2 + 
   (2*z^2)/a^2 + 4*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 6*a^2*z^4 - 
   9*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50433] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 50434] -> -a^(-14) - a^(-12) + 3/a^10 - 2/a^8 + 
   2/a^6 - (3*z^2)/a^14 + (4*z^2)/a^12 + (6*z^2)/a^10 - (3*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 + z^4/a^10 - 
   (8*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50435] -> -2/a^14 + a^(-12) + 2/a^8 - (2*z^2)/a^16 - 
   (3*z^2)/a^14 + (4*z^2)/a^12 + (7*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 + (8*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50436] -> 1 + 2/a^8 - 3/a^6 + a^(-2) - (2*z^2)/a^10 + 
   (3*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 50437] -> 
  1 + 2/a^8 - 3/a^6 + a^(-2) - (2*z^2)/a^10 + (3*z^2)/a^8 - z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 50438] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - 
   (6*z^2)/a^10 - (3*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - 
   (13*z^4)/a^10 + (6*z^4)/a^8 + (21*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - 
   (9*z^6)/a^10 + (9*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50439] -> 5 - 2/a^2 - 2*a^2 + 28*z^2 + (4*z^2)/a^4 - 
   (19*z^2)/a^2 - 11*a^2*z^2 + 61*z^4 + (8*z^4)/a^4 - (41*z^4)/a^2 - 
   21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (36*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 50440] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 
   20*z^2 - (8*z^2)/a^6 + (37*z^2)/a^4 - (51*z^2)/a^2 + 33*z^4 - 
   (12*z^4)/a^6 + (65*z^4)/a^4 - (98*z^4)/a^2 + 24*z^6 - (6*z^6)/a^6 + 
   (48*z^6)/a^4 - (87*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - 
   (41*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 50441] -> 3 - a^(-2) - a^2 + 13*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 21*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - z^4/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 50442] -> 
  a^(-6) - 3/a^4 + 3/a^2 + 4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 + 8*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (8*z^4)/a^4 - 
   (15*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 - 
   (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 50443] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   8*z^2 - (4*z^2)/a^2 + a^2*z^2 - 12*a^4*z^2 + 5*a^6*z^2 + 16*z^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 17*a^4*z^4 + 4*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 
   8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 50444] -> 
  -a^(-14) - 3/a^12 + 5/a^10 - z^2/a^16 - (9*z^2)/a^14 + (4*z^2)/a^12 + 
   (20*z^2)/a^10 + (2*z^2)/a^8 - (3*z^4)/a^16 - (7*z^4)/a^14 + 
   (20*z^4)/a^12 + (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (17*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50445] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^4 + (2*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 + 
   z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 21*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50446] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + (6*z^2)/a^4 - (16*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (9*z^4)/a^4 - (22*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50447] -> 4 - 6*a^2 + 3*a^4 + 29*z^2 - (9*z^2)/a^2 - 
   34*a^2*z^2 + 11*a^4*z^2 + 62*z^4 - (20*z^4)/a^2 - 57*a^2*z^4 + 
   13*a^4*z^4 + 62*z^6 - (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - 
   (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 50448] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 2*z^2 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - 
   (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50449] -> 
  2*a^2 - 2*a^6 + a^8 - 3*z^2 + 6*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 + 
   4*a^8*z^2 - 6*z^4 + 11*a^2*z^4 + 6*a^4*z^4 - 14*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50450] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 - z^2/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - z^4 - 
   (2*z^4)/a^10 + (3*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 50451] -> 
  -a^(-6) + 4/a^4 - 3/a^2 + a^4 - 2*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - 
   (9*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - z^4/a^6 + (9*z^4)/a^4 - 
   (9*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 
   5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 50452] -> a^(-4) - a^(-2) + a^2 - 2*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^4*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 50453] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - z^2 + 
   z^2/a^12 - (3*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^2 - z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[15, Alternating, 50454] -> a^2 + 2*a^8 - 3*a^10 + a^12 - z^2 + 
   3*a^2*z^2 + 4*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 + 2*a^2*z^4 + 
   2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 50455] -> 1 + a^(-2) - 2*a^2 + a^6 + z^2 - z^2/a^6 + 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + 
   (3*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 50456] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 - 2*z^2 + 
   z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^6*z^4 + 2*a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - 
   a^6*z^6, Knot[15, Alternating, 50457] -> -2/a^14 + 2/a^10 + a^(-8) - 
   (2*z^2)/a^16 - (3*z^2)/a^14 + (4*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 + z^4/a^14 + (8*z^4)/a^12 + (12*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 50458] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 50459] -> 
  1 - 3*z^2 + z^2/a^4 + 3*a^4*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 50460] -> -a^(-14) - a^(-12) + 3/a^10 - a^(-8) + 
   a^(-4) - (3*z^2)/a^14 + (4*z^2)/a^12 + (7*z^2)/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (4*z^4)/a^10 - 
   (8*z^4)/a^8 + (4*z^4)/a^4 + (2*z^6)/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50461] -> a^(-6) + a^(-4) - 3/a^2 + 2*a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - 3*z^4 - z^4/a^8 + 
   z^4/a^6 + (6*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 50462] -> 
  -a^(-14) + a^(-10) - a^(-8) + 2/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (3*z^2)/a^10 + (5*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (3*z^4)/a^10 - (4*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 50463] -> 2 - a^2 - a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - (5*z^4)/a^2 + 
   a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 50464] -> 11 - 5/a^2 - 5*a^2 + 55*z^2 + 
   (8*z^2)/a^4 - (37*z^2)/a^2 - 21*a^2*z^2 + 99*z^4 + (12*z^4)/a^4 - 
   (65*z^4)/a^2 - 33*a^2*z^4 + 87*z^6 + (6*z^6)/a^4 - (48*z^6)/a^2 - 
   24*a^2*z^6 + 41*z^8 + z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 50465] -> 
  6 - 3/a^2 - a^2 - a^4 + 18*z^2 + (4*z^2)/a^4 - (16*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 22*z^4 + (4*z^4)/a^4 - (21*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + 
   15*z^6 + z^6/a^4 - (11*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 50466] -> 11 - 5/a^2 - 5*a^2 + 43*z^2 + (4*z^2)/a^4 - 
   (25*z^2)/a^2 - 17*a^2*z^2 + 75*z^4 + (8*z^4)/a^4 - (45*z^4)/a^2 - 
   25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 50467] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   20*z^2 + z^2/a^6 - (3*z^2)/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50468] -> 
  3 - a^(-2) - a^2 + 19*z^2 - (5*z^2)/a^2 - 21*a^2*z^2 + 8*a^4*z^2 + 41*z^4 - 
   (8*z^4)/a^2 - 56*a^2*z^4 + 20*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 
   61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 50469] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 10*z^2 - z^2/a^4 - 15*a^2*z^2 + 6*a^4*z^2 + 
   5*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 22*a^2*z^4 + 9*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50470] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 49*z^2 + (13*z^2)/a^4 - (43*z^2)/a^2 - 
   16*a^2*z^2 + 78*z^4 + (28*z^4)/a^4 - (86*z^4)/a^2 - 17*a^2*z^4 + 54*z^6 + 
   (23*z^6)/a^4 - (81*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - 
   (40*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 50471] -> 5 - 2/a^2 - 2*a^2 + 19*z^2 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + 24*z^4 + (7*z^4)/a^6 - 
   (10*z^4)/a^4 - (15*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + (5*z^6)/a^6 - 
   (12*z^6)/a^4 - (13*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 50472] -> 
  7*a^4 - 10*a^6 + 4*a^8 - 12*a^2*z^2 + 44*a^4*z^2 - 49*a^6*z^2 + 
   16*a^8*z^2 - 28*a^2*z^4 + 86*a^4*z^4 - 78*a^6*z^4 + 17*a^8*z^4 - 
   23*a^2*z^6 + 81*a^4*z^6 - 54*a^6*z^6 + 7*a^8*z^6 - 8*a^2*z^8 + 
   40*a^4*z^8 - 17*a^6*z^8 + a^8*z^8 - a^2*z^10 + 10*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 50473] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - 
   4*z^2 + 6*a^2*z^2 + 10*a^4*z^2 - 22*a^6*z^2 + 8*a^8*z^2 - 8*z^4 + 
   12*a^2*z^4 + 16*a^4*z^4 - 26*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 13*a^2*z^6 + 
   14*a^4*z^6 - 12*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 6*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50474] -> 
  4*a^2 - 3*a^4 - 2*a^6 + 2*a^8 - 8*z^2 + 20*a^2*z^2 - 11*a^4*z^2 - 
   9*a^6*z^2 + 5*a^8*z^2 - 12*z^4 + 29*a^2*z^4 - 5*a^4*z^4 - 16*a^6*z^4 + 
   4*a^8*z^4 - 6*z^6 + 20*a^2*z^6 + 6*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 
   7*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50475] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 15*z^2 + 
   (8*z^2)/a^4 - (21*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + 
   (12*z^4)/a^4 - (29*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (6*z^6)/a^4 - (20*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50476] -> 
  3 - a^(-2) - a^2 + 6*z^2 + (2*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 50477] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 37*z^2 + (9*z^2)/a^4 - (31*z^2)/a^2 - 
   12*a^2*z^2 + 58*z^4 + (20*z^4)/a^4 - (62*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (62*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 50478] -> 5 + a^(-4) - 4/a^2 - a^4 + 13*z^2 + 
   (6*z^2)/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50479] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 50480] -> 
  2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^4 + (2*z^2)/a^2 - 13*a^2*z^2 + 6*a^4*z^2 + 
   z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 21*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50481] -> 
  4 + 3/a^4 - 6/a^2 + 12*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (25*z^2)/a^2 + 13*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (2*z^4)/a^4 - 
   (33*z^4)/a^2 + 6*z^6 - z^6/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 50482] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   6*z^2 - z^2/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - (9*z^2)/a^2 + 5*a^2*z^2 - 
   7*z^4 - z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - (13*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^6 - z^6/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 50483] -> 
  2 - a^(-4) + a^(-2) - a^2 + 8*z^2 + z^2/a^6 - (3*z^2)/a^4 - 4*a^2*z^2 + 
   13*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50484] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 4*z^2 + 14*a^2*z^2 - 12*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 16*a^4*z^4 - 7*a^6*z^4 + 5*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 11*a^4*z^6 - 9*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50485] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 6*z^2 - 
   (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 6*z^4 - 
   z^4/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   3*a^2*z^6 - a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50486] -> 2 - a^2 + a^4 - 3*a^6 + 2*a^8 + 7*z^2 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 9*z^4 - 
   (4*z^4)/a^2 + 5*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 + 5*z^6 - z^6/a^2 + 
   3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50487] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 - 4*z^2 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + 10*a^2*z^2 - 2*a^6*z^2 - 9*z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 50488] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2/a^6 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 50489] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50490] -> 
  2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 - z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (16*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - 
   (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (8*z^6)/a^8 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 50491] -> 
  2 + 2/a^8 - 3/a^6 + a^(-4) - a^(-2) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (8*z^2)/a^6 + (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 50492] -> 1 + 7*z^2 - (5*z^2)/a^6 + 
   (17*z^2)/a^4 - (19*z^2)/a^2 + 11*z^4 - (17*z^4)/a^6 + (50*z^4)/a^4 - 
   (46*z^4)/a^2 + 6*z^6 - (17*z^6)/a^6 + (57*z^6)/a^4 - (40*z^6)/a^2 + z^8 - 
   (7*z^8)/a^6 + (32*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - 
   (2*z^10)/a^2 + z^12/a^4, Knot[15, Alternating, 50493] -> 
  2 + a^(-4) - 2/a^2 - z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (8*z^4)/a^6 + (19*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50494] -> 3 + 2/a^4 - 4/a^2 - 2*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (6*z^4)/a^6 + 
   (13*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50495] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 33*z^2 + (9*z^2)/a^4 - (30*z^2)/a^2 - 
   11*a^2*z^2 + 57*z^4 + (20*z^4)/a^4 - (62*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (62*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 50496] -> 1 - a^2 + 2*a^4 - a^6 + 5*z^2 - 18*a^2*z^2 + 
   22*a^4*z^2 - 8*a^6*z^2 + 16*z^4 - 49*a^2*z^4 + 48*a^4*z^4 - 12*a^6*z^4 + 
   17*z^6 - 56*a^2*z^6 + 41*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 32*a^2*z^8 + 
   15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 50497] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   10*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 3*z^4 + (4*z^4)/a^2 - 12*a^2*z^4 + 
   18*a^4*z^4 - 4*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 10*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50498] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 50499] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50500] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 + z^2 - 
   z^2/a^10 + (7*z^2)/a^6 - (15*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   z^4/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 50501] -> -2 + a^(-4) + 2*a^2 - 4*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + 
   z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50502] -> 3 + 2/a^4 - 4/a^2 - z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50503] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 
   (8*z^4)/a^4 - (16*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50504] -> 
  -4 + 3/a^2 + a^2 + a^4 - 17*z^2 + z^2/a^6 - (6*z^2)/a^4 + (13*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + (19*z^4)/a^2 + 
   12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50505] -> -6/a^6 + 11/a^4 - 4/a^2 + (4*z^2)/a^8 - 
   (25*z^2)/a^6 + (44*z^2)/a^4 - (16*z^2)/a^2 + (8*z^4)/a^8 - (45*z^4)/a^6 + 
   (75*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - 
   (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 50506] -> -1 - 4/a^6 + 6/a^4 - 4*z^2 + (3*z^2)/a^8 - 
   (14*z^2)/a^6 + (19*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (17*z^4)/a^6 + (21*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50507] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 9*z^2 - 
   (4*z^2)/a^6 + (18*z^2)/a^4 - (22*z^2)/a^2 + 20*z^4 - (8*z^4)/a^6 + 
   (40*z^4)/a^4 - (57*z^4)/a^2 + 18*z^6 - (5*z^6)/a^6 + (36*z^6)/a^4 - 
   (61*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 50508] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (14*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (18*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^6 + (9*z^6)/a^4 - (12*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50509] -> 1 - 5*a^2 + 10*a^4 - 5*a^6 + 9*z^2 - 
   30*a^2*z^2 + 38*a^4*z^2 - 12*a^6*z^2 + 20*z^4 - 62*a^2*z^4 + 58*a^4*z^4 - 
   13*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 43*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 50510] -> -a^2 + 5*a^4 - 3*a^6 - z^2 + 
   (2*z^2)/a^2 - 9*a^2*z^2 + 18*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 
   14*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 50511] -> 2 - a^2 - a^4 + a^6 + 5*z^2 - 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 9*z^6 - z^6/a^4 + 
   z^6/a^2 + 4*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 50512] -> a^(-2) - a^2 + a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 
   14*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50513] -> 5 - 2/a^2 - 2*a^2 + 8*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50514] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50515] -> 1 + 18*z^2 - (6*z^2)/a^2 - 18*a^2*z^2 + 
   6*a^4*z^2 + 45*z^4 - (15*z^4)/a^2 - 39*a^2*z^4 + 9*a^4*z^4 + 48*z^6 - 
   (14*z^6)/a^2 - 33*a^2*z^6 + 5*a^4*z^6 + 27*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 50516] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + 
   (5*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 - z^4 + (7*z^4)/a^4 - 
   (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50517] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 11*z^2 + (6*z^2)/a^4 - (16*z^2)/a^2 + 
   3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (9*z^4)/a^4 - (22*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50518] -> -a^(-14) + a^(-10) + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + (4*z^2)/a^10 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 50519] -> a^(-2) - a^4 + a^6 + 3*z^2 - z^2/a^4 - 
   3*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50520] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 + 
   (2*z^4)/a^6 - (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 50521] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 2*z^2 - z^2/a^4 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   3*a^6*z^4 + a^8*z^4 - z^6 - a^2*z^6 - a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 50522] -> a^(-2) + a^4 - 3*a^6 + 2*a^8 - z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 + 
   2*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + z^6 + 
   z^6/a^2 + a^2*z^6 + a^4*z^6, Knot[15, Alternating, 50523] -> 
  2/a^8 - 3/a^6 + a^(-4) + a^2 - 3*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 + a^2*z^2 - 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   z^4/a^2 + z^6/a^8 + z^6/a^6 + z^6/a^4 + z^6/a^2, 
 Knot[15, Alternating, 50524] -> 1 + 2/a^4 - 3/a^2 + a^2 + z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50525] -> 2*a^2 - a^4 + 15*z^2 - (5*z^2)/a^2 - 
   14*a^2*z^2 + 5*a^4*z^2 + 48*z^4 - (16*z^4)/a^2 - 43*a^2*z^4 + 11*a^4*z^4 + 
   56*z^6 - (17*z^6)/a^2 - 40*a^2*z^6 + 6*a^4*z^6 + 32*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 50526] -> 2 - 3*a^2 + 3*a^4 - a^6 + 12*z^2 - 
   (4*z^2)/a^2 - 12*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 + 20*z^4 - (8*z^4)/a^2 - 
   9*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 50527] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   12*z^2 - z^2/a^4 - (2*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 14*z^4 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 10*z^6 - 
   (4*z^6)/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50528] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - z^2/a^4 - 4*a^2*z^2 - a^4*z^2 + a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50529] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50530] -> -a^(-8) + 2/a^4 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - 
   (10*z^4)/a^10 + (2*z^4)/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50531] -> 2*a^4 - a^8 - 5*a^2*z^2 + 20*a^4*z^2 - 
   17*a^6*z^2 + 6*a^8*z^2 - 17*a^2*z^4 + 51*a^4*z^4 - 45*a^6*z^4 + 
   11*a^8*z^4 - 17*a^2*z^6 + 57*a^4*z^6 - 40*a^6*z^6 + 6*a^8*z^6 - 
   7*a^2*z^8 + 32*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 
   2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 50532] -> 
  3*a^4 - 2*a^6 - z^2 + a^2*z^2 + 9*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 
   5*z^4 + 6*a^2*z^4 + 11*a^4*z^4 - 17*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 
   9*a^2*z^6 + 10*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50533] -> 4*a^4 - 4*a^6 + a^8 - 2*z^2 + 3*a^2*z^2 + 
   7*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 5*z^4 + 9*a^2*z^4 + 6*a^4*z^4 - 
   12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50534] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 3*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 6*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50535] -> 
  4*a^4 - 4*a^6 + a^8 + 6*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50536] -> 2 + a^(-4) - 2/a^2 - 2*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + 4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + 
   (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50537] -> 3 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^4 - 
   z^2/a^2 - 8*a^2*z^2 + a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   7*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50538] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 5*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   3*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 50539] -> 
  -a^(-8) + a^(-6) + a^(-2) + (2*z^2)/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50540] -> a^2 + 2*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 7*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50541] -> 1 - a^2 + 2*a^4 - a^6 + 2*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 2*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 50542] -> 
  1 + 2/a^4 - 3/a^2 + a^2 - 3*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50543] -> 2 + a^(-4) - 2/a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 50544] -> 
  a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 + z^2/a^8 - 
   (6*z^2)/a^6 + (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (3*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (6*z^6)/a^4 + 
   (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50545] -> -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 - 
   (4*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (2*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50546] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (15*z^4)/a^6 - (18*z^4)/a^4 + (12*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 50547] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 9*z^4 - z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 50548] -> 
  -a^(-4) + 2/a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (18*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50549] -> -2/a^10 + a^(-8) + 2/a^6 + z^2/a^12 - 
   (3*z^2)/a^10 + (9*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - z^4/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50550] -> 
  1 - a^4 + 2*a^6 - a^8 - 5*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 17*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50551] -> -1 + a^(-4) + a^4 - 6*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50552] -> 1 + a^2 - 2*a^4 + a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 17*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50553] -> 
  a^4 + a^6 - a^10 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 + 3*a^8*z^2 - 
   2*a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 8*a^4*z^4 + 4*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50554] -> 
  -2/a^14 + a^(-12) + a^(-10) + a^(-6) - (2*z^2)/a^16 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + 
   z^4/a^14 + (7*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50555] -> 1 + a^(-6) + a^(-4) - 3/a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 50556] -> 
  3*a^6 - 3*a^10 + a^12 + a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^10*z^2 + 
   a^12*z^2 - z^4 - a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 50557] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   z^2/a^10 - (4*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 50558] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2 + z^2/a^12 - (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + z^4/a^8 + 
   (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 50559] -> 1 - a^(-8) + a^(-6) + a^(-4) - 
   a^(-2) + 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^2 - 
   a^2*z^2 + 4*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50560] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 50561] -> 
  1 + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 - 3*a^2*z^2 + a^4*z^2 + 
   4*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 50562] -> -2/a^10 + 2/a^8 + a^(-4) - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 50563] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 + z^2/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - (4*z^4)/a^2 - 
   6*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 50564] -> 2/a^4 - 2/a^2 + a^4 - 4*z^2 - 
   z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (5*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 50565] -> 
  2 - a^2 - a^4 + a^6 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 50566] -> 
  2*a^4 - a^6 + a^8 - a^10 + z^2/a^2 - a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   3*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 2*a^8*z^4 - 
   z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 50567] -> 
  2 - a^2 - a^4 + a^6 - 2*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - 8*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 
   6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50568] -> 1 - z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 11*a^2*z^4 + 
   6*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50569] -> 2 - a^(-4) + a^(-2) - a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50570] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 
   9*z^2 - (3*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50571] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 + z^2/a^6 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50572] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - z^2/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 6*z^4 - 
   z^4/a^6 + (6*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 50573] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 
   5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 2*z^4 + (2*z^4)/a^4 - 4*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 50574] -> -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50575] -> 
  a^(-2) - a^2 + a^4 - (5*z^2)/a^4 + (9*z^2)/a^2 - 10*a^2*z^2 + 4*a^4*z^2 + 
   5*z^4 - (8*z^4)/a^4 + (17*z^4)/a^2 - 16*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - 
   (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50576] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   8*a^2*z^2 + a^6*z^2 + 8*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50577] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (4*z^2)/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (15*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50578] -> 1 + a^2 - 2*a^4 + a^6 + 5*z^2 - 
   (3*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 + 
   3*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 50579] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - 4*a^4*z^2 + a^6*z^2 + 6*z^4 - z^4/a^4 + 
   z^4/a^2 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50580] -> 
  a^2 + a^4 - a^6 - 4*z^2 + 9*a^2*z^2 + a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 
   8*z^4 + 16*a^2*z^4 + 4*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 
   14*a^2*z^6 + 8*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50581] -> a^2 + 2*a^4 - 3*a^6 + a^8 - z^2/a^2 + 
   4*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 
   a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50582] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 4*z^2 + 
   z^2/a^6 - z^2/a^4 + 4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50583] -> 1 - a^2 + 2*a^4 - a^6 + z^2/a^4 - z^2/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 - a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + 
   z^8 + a^2*z^8, Knot[15, Alternating, 50584] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 50585] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 - 
   12*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 9*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50586] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 50587] -> 
  -2/a^8 + 2/a^6 + a^(-4) - 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (15*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 50588] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^6 + (7*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50589] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 5*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50590] -> 
  1 - a^2 + 3*a^6 - 2*a^8 - 3*z^2 + (2*z^2)/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 19*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50591] -> -2 + a^(-4) + 2*a^2 - 5*z^2 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (6*z^4)/a^6 + 
   (14*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50592] -> 
  1 + a^2 - 2*a^4 + a^6 + 7*z^2 - (4*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 13*z^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 50593] -> 
  2*a^2 - 2*a^6 + a^8 - 6*z^2 + 14*a^2*z^2 - 5*a^4*z^2 - 6*a^6*z^2 + 
   3*a^8*z^2 - 9*z^4 + 22*a^2*z^4 - 3*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 
   5*z^6 + 16*a^2*z^6 + 4*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50594] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (3*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 50595] -> 
  -3/a^12 + 3/a^10 + a^(-6) - (3*z^2)/a^14 + (9*z^2)/a^10 - z^2/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (12*z^4)/a^12 + (5*z^4)/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 50596] -> 
  -2/a^12 + a^(-10) + a^(-8) + a^(-6) - (2*z^2)/a^14 + z^2/a^12 + 
   (4*z^2)/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 - (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50597] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - z^2/a^14 - z^2/a^12 + (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + 
   (5*z^4)/a^10 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50598] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 15*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - a^2*z^4 + 4*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   8*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 50599] -> 4 + a^(-4) - 3/a^2 - a^2 + 
   9*z^2 - z^2/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 
   5*z^4 - z^4/a^6 + (5*z^4)/a^4 - (6*z^4)/a^2 - 7*a^2*z^4 + 3*a^4*z^4 - 
   z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 50600] -> -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + 
   (3*z^2)/a^10 - (11*z^2)/a^8 + (8*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 + 
   (4*z^4)/a^10 - (18*z^4)/a^8 + (12*z^4)/a^6 + (23*z^4)/a^4 - (11*z^4)/a^2 + 
   z^6/a^10 - (11*z^6)/a^8 + (12*z^6)/a^6 + (18*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (6*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 50601] -> -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 + (10*z^2)/a^4 - 3*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (12*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50602] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 50603] -> 
  -a^(-10) + 3/a^8 - 2/a^6 - 2/a^4 + 3/a^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (6*z^2)/a^6 - (14*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (13*z^4)/a^6 - (25*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (13*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50604] -> 1 - a^(-10) + 3/a^8 - 2/a^6 - a^(-4) + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 - z^4/a^6 - (13*z^4)/a^4 - (3*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50605] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 
   5*a^2*z^2 - 18*z^4 - (4*z^4)/a^6 + (3*z^4)/a^4 + (12*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50606] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 5*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50607] -> 1 - 2*a^2 + a^4 + 4*a^6 - 3*a^8 + 7*z^2 - 
   14*a^2*z^2 + 2*a^4*z^2 + 17*a^6*z^2 - 7*a^8*z^2 + 11*z^4 - 23*a^2*z^4 - 
   6*a^4*z^4 + 23*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 18*a^2*z^6 - 11*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 50608] -> 
  1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + (2*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 + 
   7*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 11*a^2*z^4 + 2*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 50609] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 50610] -> 
  -5/a^14 + 5/a^12 + a^(-10) - (4*z^2)/a^16 - (16*z^2)/a^14 + (29*z^2)/a^12 + 
   (11*z^2)/a^10 - (10*z^4)/a^16 - (7*z^4)/a^14 + (55*z^4)/a^12 + 
   (25*z^4)/a^10 - (6*z^6)/a^16 + (8*z^6)/a^14 + (45*z^6)/a^12 + 
   (22*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + (16*z^8)/a^12 + (8*z^8)/a^10 + 
   z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 50611] -> 
  -4/a^14 + 3/a^12 + 2/a^10 - (3*z^2)/a^16 - (8*z^2)/a^14 + (12*z^2)/a^12 + 
   (15*z^2)/a^10 + (3*z^2)/a^8 - (4*z^4)/a^16 - (2*z^4)/a^14 + 
   (22*z^4)/a^12 + (26*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + 
   (15*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50612] -> 
  -3/a^14 + a^(-12) + 3/a^10 - (2*z^2)/a^16 - (7*z^2)/a^14 + (7*z^2)/a^12 + 
   (16*z^2)/a^10 + (4*z^2)/a^8 - (3*z^4)/a^16 - (3*z^4)/a^14 + 
   (17*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (13*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50613] -> 
  -3/a^14 + a^(-12) + 3/a^10 - (2*z^2)/a^16 - (4*z^2)/a^14 + (5*z^2)/a^12 + 
   (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 + (9*z^4)/a^12 + 
   (16*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 50614] -> 
  -2/a^14 - a^(-12) + 4/a^10 - z^2/a^16 - (9*z^2)/a^14 + (6*z^2)/a^12 + 
   (18*z^2)/a^10 + (3*z^2)/a^8 - (3*z^4)/a^16 - (5*z^4)/a^14 + 
   (18*z^4)/a^12 + (27*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (14*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50615] -> 
  -2/a^14 + 2/a^10 + a^(-8) - z^2/a^16 - (4*z^2)/a^14 + (2*z^2)/a^12 + 
   (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (7*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50616] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 4*a^4*z^2 + 
   17*a^6*z^2 - 14*a^10*z^2 + 6*a^12*z^2 - 10*a^4*z^4 + 24*a^6*z^4 + 
   7*a^8*z^4 - 22*a^10*z^4 + 5*a^12*z^4 - 6*a^4*z^6 + 18*a^6*z^6 + 
   11*a^8*z^6 - 12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 7*a^6*z^8 + 6*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 50617] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 - a^2*z^2 + 2*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 - 6*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 2*a^4*z^4 + 11*a^6*z^4 - 
   2*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 3*a^4*z^6 + 8*a^6*z^6 + 
   2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 50618] -> 2*a^4 - 2*a^10 + a^12 - 2*a^2*z^2 + 
   5*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 3*a^2*z^4 + 
   4*a^4*z^4 + 9*a^6*z^4 - 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 7*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 50619] -> -a^(-14) + 2/a^10 - 3/a^8 + 
   3/a^6 - (4*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + 
   (10*z^2)/a^6 - (4*z^4)/a^14 + (14*z^4)/a^12 + (2*z^4)/a^10 - 
   (11*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (6*z^6)/a^10 - 
   (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 50620] -> 
  -a^(-14) + 2/a^10 - 2/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (3*z^4)/a^10 - (5*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50621] -> 
  -2 + a^(-4) + 2*a^2 - 12*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50622] -> -1 + a^(-6) - a^(-2) + 2*a^2 - 10*z^2 - 
   (3*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 50623] -> a^(-2) - a^4 + a^6 - 2*z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50624] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   2*a^4*z^2 + 11*a^6*z^2 + 5*a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 
   5*a^4*z^4 + 15*a^6*z^4 + 6*a^8*z^4 - 12*a^10*z^4 + 3*a^12*z^4 - 
   4*a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 50625] -> -1 + 2/a^2 - a^2 + a^6 - 8*z^2 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50626] -> 
  -2/a^14 - a^(-12) + 4/a^10 - z^2/a^16 - (5*z^2)/a^14 + (4*z^2)/a^12 + 
   (12*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + 
   (9*z^4)/a^12 + (14*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50627] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50628] -> 2*a^4 - 2*a^10 + a^12 - a^2*z^2 + 
   5*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 50629] -> 
  a^4 + a^6 - a^10 + 4*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - a^10*z^2 + 
   6*a^2*z^4 - 15*a^4*z^4 + 6*a^6*z^4 + 5*a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 
   12*a^4*z^6 - a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50630] -> -a^(-14) + 2/a^10 - 3/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50631] -> 1 + a^(-8) - 2/a^6 + a^(-4) + z^2 + 
   z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 50632] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (12*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (12*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 50633] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50634] -> 3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 4*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 2*z^4 + 
   (3*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 50635] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^10 + (16*z^2)/a^8 - 
   (17*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - 
   (20*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (13*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50636] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^10 - 
   (8*z^2)/a^8 + (16*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 + (20*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 + (11*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 50637] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 
   4*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 11*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50638] -> 
  2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 50639] -> 2 + 2/a^4 - 3/a^2 - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 50640] -> 
  a^4 + 2*a^6 - 2*a^8 + z^2 + 2*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 
   3*a^8*z^2 - a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 16*a^4*z^4 + 13*a^6*z^4 + 
   2*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50641] -> 
  -2/a^14 + 2/a^10 + a^(-8) - (2*z^2)/a^16 - (7*z^2)/a^14 + (6*z^2)/a^12 + 
   (15*z^2)/a^10 + (4*z^2)/a^8 - (3*z^4)/a^16 - (5*z^4)/a^14 + 
   (19*z^4)/a^12 + (27*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (16*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50642] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 3*z^2 + 5*a^2*z^2 + 6*a^4*z^2 - 12*a^6*z^2 + 
   4*a^8*z^2 - 6*z^4 + 11*a^2*z^4 + 7*a^4*z^4 - 14*a^6*z^4 + 3*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 7*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50643] -> a^(-8) - 2/a^6 + 2/a^2 - z^2 + z^2/a^10 - 
   z^2/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 50644] -> 
  -a^(-12) + 2/a^6 - z^2/a^14 + z^2/a^12 + z^2/a^10 + (2*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (2*z^4)/a^12 + z^4/a^10 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 50645] -> -1 + a^(-2) + 2*a^4 - a^6 - 2*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - 9*a^2*z^4 + a^4*z^4 + 2*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50646] -> 2 + a^(-4) - 2/a^2 + z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + a^6*z^2 - z^4 + 
   (2*z^4)/a^4 - 2*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 50647] -> 
  -a^(-8) + 2/a^4 + z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^8 + (2*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 50648] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   7*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (8*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 50649] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2/a^8 + z^2/a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 50650] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2/a^4 - 
   z^2/a^2 - a^2*z^2 + a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - 
   z^4/a^2 - 2*a^2*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 50651] -> -3/a^14 + 2/a^12 + a^(-10) + a^(-8) - 
   (2*z^2)/a^16 - (3*z^2)/a^14 + (6*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 + z^4/a^14 + (8*z^4)/a^12 + (11*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 50652] -> 
  a^2 + a^6 - 2*a^10 + a^12 - z^2 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 
   3*a^10*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 50653] -> -1 - 2/a^4 + 4/a^2 - 9*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 17*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 13*z^6 - 
   (3*z^6)/a^4 + (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 50654] -> 
  -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 10*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   8*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   15*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50655] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 10*z^2 - 
   (4*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50656] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 13*z^2 + (7*z^2)/a^4 - (18*z^2)/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 7*z^4 + (9*z^4)/a^4 - (24*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50657] -> 1 + 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 50658] -> 
  a^6 + 6*a^8 - 9*a^10 + 3*a^12 - a^4*z^2 + 5*a^6*z^2 + 17*a^8*z^2 - 
   20*a^10*z^2 + 5*a^12*z^2 - 4*a^4*z^4 + 9*a^6*z^4 + 18*a^8*z^4 - 
   19*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 11*a^8*z^6 - 
   10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 50659] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 + 8*a^6*z^2 + 3*a^8*z^2 - 8*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 + 8*a^6*z^4 + 2*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 5*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50660] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50661] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (14*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 50662] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - (16*z^4)/a^4 + (3*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50663] -> 
  -2/a^6 + 3/a^4 - 3*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (6*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 50664] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   10*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 11*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 17*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 - 
   12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50665] -> 
  1 - z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50666] -> 
  -3 + 2/a^2 + 2*a^2 - 11*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (7*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (14*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 50667] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   z^2/a^4 + a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50668] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 50669] -> a^4 + a^6 - a^10 + 4*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 7*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 
   3*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50670] -> 
  -2/a^14 - a^(-12) + 4/a^10 - (2*z^2)/a^16 - (7*z^2)/a^14 + (4*z^2)/a^12 + 
   (20*z^2)/a^10 + (2*z^2)/a^8 - (3*z^4)/a^16 - (5*z^4)/a^14 + 
   (18*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50671] -> 
  -a^(-14) - 3/a^12 + 5/a^10 - z^2/a^16 - (5*z^2)/a^14 + z^2/a^12 + 
   (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (9*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50672] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50673] -> 1 - a^4 + 2*a^6 - a^8 - 2*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   4*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50674] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (17*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 50675] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (9*z^4)/a^6 + (2*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 50676] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - (2*z^4)/a^6 + 
   (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 50677] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 
   2*a^4*z^2 + a^6*z^2 + z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 
   3*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 50678] -> -a^(-8) + 2/a^4 + 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 50679] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50680] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 + z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 50681] -> a^(-2) - a^4 + a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + 
   (3*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50682] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 - z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + (3*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 50683] -> a^(-4) - a^2 + a^6 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^6 + 
   (5*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 50684] -> 
  a^(-6) - a^(-2) + a^4 - z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 50685] -> -3 + 2/a^2 + 2*a^2 - 9*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50686] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + 
   (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50687] -> a^(-2) - a^2 + a^4 - 4*z^2 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 - 8*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   8*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50688] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + (6*z^4)/a^4 - 
   (11*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50689] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (3*z^2)/a^10 + (3*z^2)/a^8 + 
   (9*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50690] -> -3/a^4 + 5/a^2 - a^2 + 3*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (17*z^4)/a^2 - 6*a^2*z^4 + 10*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 50691] -> 
  -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50692] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 5*z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + (8*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50693] -> a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 - 
   a^2*z^2 + a^4*z^2 + 12*a^6*z^2 - 8*a^8*z^2 - a^10*z^2 + a^12*z^2 - 
   2*a^2*z^4 + 16*a^6*z^4 - 9*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 10*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 50694] -> -1 + a^(-4) - 2/a^2 + 6*a^2 - 
   3*a^4 - 8*z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 
   13*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50695] -> 
  3*a^4 - 2*a^6 - 6*z^2 + (3*z^2)/a^2 + 10*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 
   6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50696] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (2*z^2)/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (3*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50697] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (3*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 50698] -> -a^(-10) + 2/a^6 - a^(-4) + 
   a^(-2) - (3*z^2)/a^10 + (5*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 50699] -> 
  -a^(-14) + a^(-10) + a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 - 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50700] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 
   4*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   2*z^6 + (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 50701] -> 3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 
   3*z^2 - z^2/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 
   z^6 - (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 50702] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 5*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 50703] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 50704] -> 2 + a^(-6) - 2/a^2 - a^2 + a^4 + 3*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50705] -> -2/a^14 + 2/a^10 + a^(-8) - z^2/a^16 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 50706] -> 
  -a^(-12) + 2/a^6 - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - 
   (3*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 50707] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (2*z^2)/a^10 + (5*z^2)/a^8 - (5*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 + z^4/a^8 - (9*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, 
 Knot[15, Alternating, 50708] -> 2*a^4 - a^6 + a^8 - a^10 + 2*z^2 - a^2*z^2 + 
   2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 
   2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50709] -> 
  1 - a^2 + a^4 + a^6 - a^8 - 3*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 - 11*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50710] -> -a^(-14) - a^(-12) + 4/a^10 - 4/a^8 + 
   3/a^6 - (3*z^2)/a^14 + (5*z^2)/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 + z^4/a^10 - 
   (13*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50711] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (7*z^4)/a^8 + z^4/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50712] -> 
  a^4 + a^6 - a^10 + 3*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 
   2*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 + 10*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50713] -> 2*a^4 - a^6 + a^8 - a^10 + z^2 + a^2*z^2 + 
   4*a^8*z^2 - a^10*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 + 3*a^8*z^4 - a^10*z^4 + 
   z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50714] -> -a^(-14) + 2/a^10 - 2/a^8 + a^(-6) + 
   a^(-4) - z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (5*z^4)/a^8 - 
   (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 50715] -> 
  -a^(-14) + a^(-10) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - 
   z^2/a^8 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 50716] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + z^4/a^8 + 
   (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50717] -> -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - 
   (5*z^2)/a^10 - z^2/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (10*z^4)/a^10 + (2*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 50718] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - z^2/a^6 - 
   z^2/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50719] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 - (11*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50720] -> 
  7 - 3/a^2 - 3*a^2 + 37*z^2 + (6*z^2)/a^4 - (26*z^2)/a^2 - 14*a^2*z^2 + 
   71*z^4 + (9*z^4)/a^4 - (48*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - 
   (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 50721] -> 
  2 - a^(-4) + a^(-2) - a^2 + 10*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 - 6*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 50722] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 14*z^2 - 
   (6*z^2)/a^6 + (27*z^2)/a^4 - (36*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + 
   (48*z^4)/a^4 - (71*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - 
   (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 50723] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + 
   (11*z^2)/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - (10*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 50724] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (10*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 50725] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 50726] -> 1 + a^4 - 2*a^6 + a^8 + 5*z^2 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 6*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 4*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50727] -> a^4 + 4*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 + 
   6*a^4*z^2 - 4*a^6*z^2 + 12*a^8*z^2 - 10*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + 6*a^4*z^4 - 4*a^6*z^4 + 9*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 50728] -> 3 - 4*a^2 + 2*a^4 + 25*z^2 - 
   (8*z^2)/a^2 - 28*a^2*z^2 + 9*a^4*z^2 + 60*z^4 - (20*z^4)/a^2 - 
   53*a^2*z^4 + 12*a^4*z^4 + 62*z^6 - (18*z^6)/a^2 - 42*a^2*z^6 + 6*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 50729] -> 
  4 - 6*a^2 + 3*a^4 + 16*z^2 - (6*z^2)/a^2 - 15*a^2*z^2 + 2*a^6*z^2 + 
   23*z^4 - (9*z^4)/a^2 - 8*a^2*z^4 - 9*a^4*z^4 + 3*a^6*z^4 + 16*z^6 - 
   (5*z^6)/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 50730] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 - 9*a^2*z^2 + 
   4*a^4*z^2 + 4*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 16*a^2*z^4 + 4*a^4*z^4 + 
   8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 50731] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 + z^2 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50732] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 11*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 50733] -> 2*a^2 - a^4 - 4*z^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 7*z^4 + 15*a^2*z^4 + a^4*z^4 - 
   12*a^6*z^4 + 3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 6*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50734] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + a^2*z^2 + 
   12*a^4*z^2 - 14*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 5*a^2*z^4 + 13*a^4*z^4 - 
   15*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 9*a^4*z^6 - 8*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50735] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 4*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50736] -> 2 - a^2 - a^4 + a^6 + 4*z^2 - (2*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50737] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2 - z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 + z^4 + (3*z^4)/a^10 - (2*z^4)/a^8 - (4*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^8 - z^6/a^6 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50738] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 50739] -> 
  -a^(-12) - a^(-10) + 2/a^8 + a^(-6) - z^2/a^14 + (3*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   (3*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 50740] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 13*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   15*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + (9*z^4)/a^2 + 
   20*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50741] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 50742] -> 4 + a^(-4) - 3/a^2 - a^2 + 6*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 4*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + z^6 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 50743] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + 
   z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + 
   z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 50744] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 50745] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 + 3*z^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - 6*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 50746] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + 6*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 6*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 50747] -> 
  1 - 2*a^2 + 3*a^4 - a^8 - z^2 + z^2/a^4 - 3*a^2*z^2 + 5*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 4*a^2*z^4 + 2*a^4*z^4 + 
   2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 50748] -> -1 + a^(-4) + a^4 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 50749] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + 
   (2*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 50750] -> 2*a^4 - a^6 + a^8 - a^10 + 2*z^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50751] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50752] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 9*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50753] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (5*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 50754] -> -4/a^8 + 7/a^6 - 3/a^4 + 
   a^(-2) - (4*z^2)/a^10 + (4*z^2)/a^8 + (12*z^2)/a^6 - (11*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^10 + (15*z^4)/a^8 + (2*z^4)/a^6 - (17*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (7*z^6)/a^6 - (14*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 50755] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   z^2/a^4 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50756] -> 
  -2/a^6 + 3/a^4 + (4*z^2)/a^8 - (17*z^2)/a^6 + (24*z^2)/a^4 - (8*z^2)/a^2 + 
   (8*z^4)/a^8 - (40*z^4)/a^6 + (57*z^4)/a^4 - (20*z^4)/a^2 + (5*z^6)/a^8 - 
   (36*z^6)/a^6 + (61*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + 
   (33*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 50757] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - 
   z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + (14*z^2)/a^4 - (3*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (16*z^4)/a^6 + (17*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50758] -> -1 - 4/a^4 + 7/a^2 - a^2 + 3*z^2 + 
   (4*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 - 5*a^2*z^2 + 12*z^4 + 
   (4*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 - 8*a^2*z^4 + 13*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50759] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (2*z^4)/a^2 - 2*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50760] -> 
  -a^(-10) + 5/a^8 - 9/a^6 + 6/a^4 - (9*z^2)/a^10 + (38*z^2)/a^8 - 
   (51*z^2)/a^6 + (23*z^2)/a^4 - (12*z^4)/a^10 + (66*z^4)/a^8 - 
   (97*z^4)/a^6 + (34*z^4)/a^4 - (6*z^6)/a^10 + (48*z^6)/a^8 - (87*z^6)/a^6 + 
   (24*z^6)/a^4 - z^8/a^10 + (16*z^8)/a^8 - (41*z^8)/a^6 + (8*z^8)/a^4 + 
   (2*z^10)/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 50761] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (19*z^2)/a^8 - (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (23*z^4)/a^8 - (23*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (16*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50762] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (9*z^2)/a^8 + (3*z^2)/a^6 - (22*z^2)/a^4 + (12*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (2*z^4)/a^6 - (32*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (8*z^6)/a^6 - (21*z^6)/a^4 + (6*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50763] -> -2 + a^(-4) - 2/a^2 + 8*a^2 - 4*a^4 - 
   11*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + 
   (8*z^4)/a^4 - (13*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50764] -> 
  2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^6 - (10*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 50765] -> 
  -5/a^12 + 6/a^10 - (8*z^2)/a^14 - (2*z^2)/a^12 + (23*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + (14*z^4)/a^12 + 
   (32*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 50766] -> -a^(-14) - a^(-12) + 5/a^10 - 6/a^8 + 
   4/a^6 - (4*z^2)/a^14 + (6*z^2)/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - (14*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 50767] -> 
  -a^(-14) + a^(-10) + a^(-8) - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (5*z^2)/a^10 - z^2/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (4*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 50768] -> 6*a^4 - 8*a^6 + 3*a^8 - 
   9*a^2*z^2 + 32*a^4*z^2 - 33*a^6*z^2 + 10*a^8*z^2 - 21*a^2*z^4 + 
   64*a^4*z^4 - 55*a^6*z^4 + 12*a^8*z^4 - 18*a^2*z^6 + 63*a^4*z^6 - 
   42*a^6*z^6 + 6*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 50769] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 3*z^2 + 
   4*a^2*z^2 + 8*a^4*z^2 - 15*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 9*a^2*z^4 + 
   13*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 11*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50770] -> 
  4*a^2 - 4*a^4 + a^8 - 6*z^2 + 15*a^2*z^2 - 9*a^4*z^2 - 5*a^6*z^2 + 
   3*a^8*z^2 - 9*z^4 + 22*a^2*z^4 - 4*a^4*z^4 - 11*a^6*z^4 + 3*a^8*z^4 - 
   5*z^6 + 16*a^2*z^6 + 4*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50771] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   (2*z^2)/a^12 + (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 - z^4/a^12 + (6*z^4)/a^10 + (4*z^4)/a^8 - (12*z^4)/a^6 - 
   (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^10 - (2*z^6)/a^8 - (9*z^6)/a^6 - 
   (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 50772] -> -a^(-10) + a^(-8) + a^(-2) + z^2 - 
   z^2/a^12 + z^2/a^10 + (4*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 + (2*z^4)/a^10 + (2*z^4)/a^8 - (4*z^4)/a^6 - (5*z^4)/a^4 - z^6/a^8 - 
   (3*z^6)/a^6 - (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 50773] -> 
  2 - 2/a^6 + 3/a^4 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 - 4*a^2*z^2 + 9*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (6*z^4)/a^4 - 4*a^2*z^4 + 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50774] -> 2 - a^(-6) + a^(-4) - a^2 + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 50775] -> 
  2 - a^(-10) + 3/a^8 - 2/a^6 - a^(-2) + 5*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (6*z^2)/a^6 + z^2/a^4 - (8*z^2)/a^2 + 4*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (7*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50776] -> 1 + a^(-4) - 2/a^2 + 3*a^4 - 2*a^6 + 3*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + 
   z^6/a^4 - (5*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 50777] -> 1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 + 
   z^2/a^6 - (3*z^2)/a^2 + a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 50778] -> -a^(-14) - 3/a^12 + 5/a^10 - 
   (8*z^2)/a^14 + z^2/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (6*z^4)/a^14 + (13*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50779] -> 
  -2/a^14 + a^(-12) + 2/a^8 - z^2/a^16 - (3*z^2)/a^14 + (3*z^2)/a^12 + 
   (6*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + (6*z^4)/a^12 + 
   (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 50780] -> 
  -a^(-14) + 2/a^10 - a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (6*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 50781] -> -a^(-14) + 3/a^10 - 5/a^8 + 
   4/a^6 - (4*z^2)/a^14 + (7*z^2)/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 50782] -> 
  -7/a^6 + 13/a^4 - 5/a^2 + (6*z^2)/a^8 - (35*z^2)/a^6 + (59*z^2)/a^4 - 
   (22*z^2)/a^2 + (11*z^4)/a^8 - (62*z^4)/a^6 + (102*z^4)/a^4 - 
   (34*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + (88*z^6)/a^4 - (24*z^6)/a^2 + 
   z^8/a^8 - (16*z^8)/a^6 + (41*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + 
   (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 50783] -> 
  -1 - 5/a^6 + 8/a^4 - a^(-2) - 6*z^2 + (4*z^2)/a^8 - (18*z^2)/a^6 + 
   (23*z^2)/a^4 + (4*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + 
   (25*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50784] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (11*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50785] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 12*z^2 - 41*a^2*z^2 + 52*a^4*z^2 - 
   17*a^6*z^2 + 28*z^4 - 85*a^2*z^4 + 79*a^4*z^4 - 17*a^6*z^4 + 23*z^6 - 
   81*a^2*z^6 + 54*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 40*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 50786] -> -2*a^2 + 7*a^4 - 4*a^6 - 3*z^2 + 
   (3*z^2)/a^2 - 10*a^2*z^2 + 23*a^4*z^2 - 8*a^6*z^2 - 11*z^4 + (8*z^4)/a^2 - 
   16*a^2*z^4 + 26*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 14*a^2*z^6 + 
   12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 50787] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   9*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 16*z^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50788] -> 
  9*a^8 - 12*a^10 + 4*a^12 - 8*a^6*z^2 + 50*a^8*z^2 - 50*a^10*z^2 + 
   14*a^12*z^2 - 24*a^6*z^4 + 93*a^8*z^4 - 76*a^10*z^4 + 16*a^12*z^4 - 
   22*a^6*z^6 + 83*a^8*z^6 - 53*a^10*z^6 + 7*a^12*z^6 - 8*a^6*z^8 + 
   40*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 50789] -> 
  2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 2*a^4*z^2 + 8*a^6*z^2 + 15*a^8*z^2 - 
   23*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 14*a^6*z^4 + 19*a^8*z^4 - 
   25*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 
   12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 50790] -> 
  4*a^6 - a^8 - 4*a^10 + 2*a^12 - 4*a^4*z^2 + 16*a^6*z^2 + a^8*z^2 - 
   14*a^10*z^2 + 5*a^12*z^2 - 8*a^4*z^4 + 21*a^6*z^4 + 7*a^8*z^4 - 
   18*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 15*a^6*z^6 + 9*a^8*z^6 - 
   10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 50791] -> 
  4*a^6 - a^8 - 4*a^10 + 2*a^12 - a^4*z^2 + 11*a^6*z^2 - 9*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 + 11*a^6*z^4 + a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50792] -> 
  6*a^6 - 6*a^8 + a^12 - 6*a^4*z^2 + 24*a^6*z^2 - 12*a^8*z^2 - 7*a^10*z^2 + 
   4*a^12*z^2 - 11*a^4*z^4 + 31*a^6*z^4 - 4*a^8*z^4 - 15*a^10*z^4 + 
   4*a^12*z^4 - 6*a^4*z^6 + 20*a^6*z^6 + 6*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - 
   a^4*z^8 + 7*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 50793] -> 2*a^4 + a^6 - 2*a^8 - a^10 + a^12 - 
   2*a^2*z^2 + 4*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 
   3*a^2*z^4 + 4*a^4*z^4 + 10*a^6*z^4 - 3*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50794] -> 
  3*a^4 - 2*a^6 + a^8 - 2*a^10 + a^12 - 3*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - 8*a^10*z^2 + 3*a^12*z^2 - 4*a^2*z^4 + 9*a^4*z^4 + 5*a^8*z^4 - 
   8*a^10*z^4 + a^12*z^4 - a^2*z^6 + 5*a^4*z^6 + 3*a^6*z^6 + 4*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50795] -> 
  a^2 + a^4 - a^6 + a^8 - 2*a^10 + a^12 - z^2 + a^2*z^2 + 3*a^4*z^2 - 
   3*a^10*z^2 + a^12*z^2 - z^4 + a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 50796] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 33*z^2 + 
   (10*z^2)/a^4 - (31*z^2)/a^2 - 10*a^2*z^2 + 55*z^4 + (21*z^4)/a^4 - 
   (64*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + (18*z^6)/a^4 - (63*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 50797] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 8*z^2 + (6*z^2)/a^4 - (15*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (9*z^4)/a^4 - (22*z^4)/a^2 + 11*a^2*z^4 - 
   3*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50798] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 8*z^2 - 
   25*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 + 20*z^4 - 60*a^2*z^4 + 53*a^4*z^4 - 
   12*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 50799] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 
   2*z^2 + z^2/a^2 - 13*a^2*z^2 + 16*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + 
   (5*z^4)/a^2 - 15*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 50800] -> 
  a^4 + a^6 - a^10 + 8*a^4*z^2 - 14*a^6*z^2 + 19*a^8*z^2 - 7*a^10*z^2 + 
   18*a^4*z^4 - 49*a^6*z^4 + 46*a^8*z^4 - 11*a^10*z^4 + 17*a^4*z^6 - 
   57*a^6*z^6 + 40*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 
   15*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 50801] -> 2*a^4 - a^6 + a^8 - a^10 + 2*a^2*z^2 + 
   2*a^4*z^2 - 6*a^6*z^2 + 11*a^8*z^2 - 4*a^10*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 
   11*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 
   10*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50802] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   8*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 5*a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50803] -> -a^(-10) + a^(-6) + a^(-4) - (3*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (11*z^4)/a^8 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50804] -> -a^(-14) - 3/a^12 + 5/a^10 - (2*z^2)/a^16 - 
   (6*z^2)/a^14 + z^2/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 - (3*z^4)/a^16 - 
   (5*z^4)/a^14 + (17*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50805] -> 
  1 - a^4 + 2*a^6 - a^8 + 5*z^2 - 9*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + 8*z^4 - 17*a^2*z^4 - 5*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 14*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 50806] -> 2 - 2*a^2 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50807] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - z^4/a^10 - 
   (2*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50808] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - 
   z^2/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - (4*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 50809] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50810] -> 
  2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 2*a^4*z^2 + 8*a^6*z^2 + 13*a^8*z^2 - 
   19*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 12*a^6*z^4 + 16*a^8*z^4 - 
   19*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 
   10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 50811] -> 
  a^4 + a^6 + 2*a^8 - 5*a^10 + 2*a^12 - a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 + 
   4*a^8*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 + 
   2*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 
   a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 50812] -> 3*a^4 - 2*a^6 - 5*z^2 + (3*z^2)/a^2 - 
   a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 4*a^2*z^4 + 
   12*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50813] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50814] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 5*a^2*z^4 + a^4*z^4 + 
   2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 50815] -> -a^(-14) - 3/a^12 + 5/a^10 - (6*z^2)/a^14 + 
   (16*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + 
   (8*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50816] -> -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (13*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50817] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 50818] -> a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 - 
   a^2*z^2 + 15*a^6*z^2 - 12*a^8*z^2 + a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   19*a^6*z^4 - 11*a^8*z^4 - 2*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 - 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 50819] -> -4/a^12 + 4/a^10 + a^(-8) - (8*z^2)/a^14 + 
   (18*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + 
   (15*z^4)/a^12 + (28*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 50820] -> -a^(-14) - a^(-12) + 4/a^10 - 
   3/a^8 + a^(-6) + a^(-4) - (3*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 - 
   (6*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50821] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (3*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   2*z^4 + z^4/a^8 - (6*z^4)/a^6 + z^4/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 50822] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 11*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (14*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (19*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50823] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 
   7*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 + 
   3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 50824] -> 2*a^4 - a^6 + 3*a^8 - 5*a^10 + 
   2*a^12 - 2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 9*a^8*z^2 - 11*a^10*z^2 + 
   3*a^12*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 + 8*a^8*z^4 - 8*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50825] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 6*z^2 + z^2/a^4 + z^2/a^2 + 4*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 10*z^4 + (3*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 50826] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50827] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 + 2*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50828] -> 
  1 + 2/a^6 - 4/a^4 + 2/a^2 - z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 + (3*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 50829] -> -5/a^12 + 6/a^10 - z^2/a^16 - 
   (8*z^2)/a^14 + (23*z^2)/a^10 + z^2/a^8 - (3*z^4)/a^16 - (7*z^4)/a^14 + 
   (18*z^4)/a^12 + (33*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (17*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 50830] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - z^2/a^16 - (4*z^2)/a^14 + 
   (11*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^16 - (2*z^4)/a^14 + (7*z^4)/a^12 + 
   (18*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 50831] -> 
  2*a^4 - a^6 + a^8 - a^10 + 3*a^2*z^2 - 4*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 
   4*a^2*z^4 - 6*a^4*z^4 - 9*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   7*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 50832] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   (6*z^4)/a^4 - (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50833] -> 
  -4/a^12 + 4/a^10 + a^(-8) - (6*z^2)/a^14 - (2*z^2)/a^12 + (16*z^2)/a^10 + 
   (6*z^2)/a^8 - z^4/a^16 - (4*z^4)/a^14 + (8*z^4)/a^12 + (21*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 50834] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 8*z^2 + (5*z^2)/a^4 - (13*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50835] -> -a^(-14) + 3/a^10 - 5/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 - (10*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50836] -> 
  -a^(-14) + 2/a^10 - 3/a^8 + 3/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50837] -> 
  -3 + 2/a^2 + 2*a^2 - 6*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^4*z^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 50838] -> -a^(-10) - a^(-8) + 3/a^6 + 
   z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + (11*z^2)/a^6 - z^2/a^4 + z^4/a^12 - 
   (5*z^4)/a^10 + z^4/a^8 + (12*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50839] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + (3*z^4)/a^4 - (7*z^4)/a^2 - 
   4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 50840] -> 3 - 4*a^2 + 2*a^4 + 19*z^2 - (6*z^2)/a^2 - 
   22*a^2*z^2 + 7*a^4*z^2 + 45*z^4 - (15*z^4)/a^2 - 40*a^2*z^4 + 9*a^4*z^4 + 
   48*z^6 - (14*z^6)/a^2 - 33*a^2*z^6 + 5*a^4*z^6 + 27*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 50841] -> 6*a^4 - 8*a^6 + 3*a^8 - 11*a^2*z^2 + 
   38*a^4*z^2 - 39*a^6*z^2 + 12*a^8*z^2 - 24*a^2*z^4 + 73*a^4*z^4 - 
   62*a^6*z^4 + 13*a^8*z^4 - 19*a^2*z^6 + 68*a^4*z^6 - 44*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 34*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 50842] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 5*z^2 + 11*a^2*z^2 - a^4*z^2 - 11*a^6*z^2 + 
   5*a^8*z^2 - 9*z^4 + 18*a^2*z^4 + 5*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 
   5*z^6 + 15*a^2*z^6 + 9*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50843] -> 2*a^2 - a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 8*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 - 
   9*a^2*z^4 + 6*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50844] -> -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 13*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50845] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - z^2/a^16 - (5*z^2)/a^14 + 
   (2*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (9*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50846] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + z^2/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50847] -> 
  13 - 6/a^2 - 6*a^2 + 54*z^2 + (6*z^2)/a^4 - (33*z^2)/a^2 - 21*a^2*z^2 + 
   88*z^4 + (9*z^4)/a^4 - (53*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - 
   (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 50848] -> 
  5 - 2/a^4 + a^(-2) - 3*a^2 + 16*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (6*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (12*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 50849] -> 
  12 + a^(-4) - 7/a^2 - 5*a^2 + 47*z^2 + (12*z^2)/a^4 - (40*z^2)/a^2 - 
   15*a^2*z^2 + 67*z^4 + (24*z^4)/a^4 - (74*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + 
   (19*z^6)/a^4 - (68*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 50850] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - 5*z^2 + 
   10*a^2*z^2 + 2*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 9*z^4 + 18*a^2*z^4 + 
   6*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 9*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50851] -> 
  4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + (6*z^2)/a^4 - (14*z^2)/a^2 + 
   13*a^2*z^2 - 6*a^4*z^2 - 4*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 19*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50852] -> 1 + a^2 - a^4 - a^6 + a^8 + z^2 - 
   (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - 
   (3*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50853] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 39*z^2 + 
   (12*z^2)/a^4 - (37*z^2)/a^2 - 12*a^2*z^2 + 62*z^4 + (24*z^4)/a^4 - 
   (73*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + (19*z^6)/a^4 - (68*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 50854] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 6*z^2 - 19*a^2*z^2 + 22*a^4*z^2 - 7*a^6*z^2 + 
   15*z^4 - 45*a^2*z^4 + 40*a^4*z^4 - 9*a^6*z^4 + 14*z^6 - 48*a^2*z^6 + 
   33*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 50855] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + (6*z^2)/a^4 - (13*z^2)/a^2 + 
   11*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50856] -> 5*a^4 - 6*a^6 + 2*a^8 - 8*a^2*z^2 + 
   29*a^4*z^2 - 29*a^6*z^2 + 9*a^8*z^2 - 20*a^2*z^4 + 61*a^4*z^4 - 
   53*a^6*z^4 + 12*a^8*z^4 - 18*a^2*z^6 + 62*a^4*z^6 - 42*a^6*z^6 + 
   6*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 15*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 50857] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + 10*a^2*z^2 - 3*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 - 8*z^4 + 16*a^2*z^4 + 3*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 
   5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 50858] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 
   a^2*z^2 + 12*a^4*z^2 - 16*a^6*z^2 + 5*a^8*z^2 - 5*z^4 + 6*a^2*z^4 + 
   15*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 11*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 50859] -> 
  1 + a^4 - 2*a^6 + a^8 - z^2/a^2 + 3*a^2*z^2 - 5*a^6*z^2 + 2*a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 50860] -> 5 - 2/a^2 - 2*a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50861] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 2*z^2 + z^2/a^6 - (4*z^2)/a^2 + 
   2*a^2*z^2 + a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 50862] -> -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 
   6*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50863] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   7*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 
   9*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 50864] -> 2 - a^2 - a^4 + a^6 + 8*z^2 - 
   (4*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 14*z^4 - (6*z^4)/a^2 + 
   a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 50865] -> a^(-2) - a^4 + a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^4*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 50866] -> 
  3 - a^(-4) - a^4 + 4*z^2 + z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 
   3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 50867] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50868] -> a^4 + 2*a^6 - 2*a^8 + 3*a^2*z^2 - 
   4*a^4*z^2 + 6*a^6*z^2 + 2*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 + 
   a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50869] -> 
  3*a^4 - 3*a^6 + 2*a^8 - a^10 + z^2 - a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 2*a^4*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 50870] -> 2 + a^(-6) - 3/a^4 + 2/a^2 - 
   a^2 + 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - 
   3*a^2*z^2 + 3*z^4 + z^4/a^8 - (6*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 50871] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - z^2/a^16 - (3*z^2)/a^14 + 
   (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (6*z^4)/a^12 + (14*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 50872] -> -a^(-14) - a^(-12) + 4/a^10 - 2/a^8 - 
   a^(-6) + 2/a^4 - (3*z^2)/a^14 + (5*z^2)/a^12 + (7*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + 
   (3*z^4)/a^10 - (10*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50873] -> 
  -a^(-14) + a^(-10) + a^(-8) - a^(-6) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 50874] -> 
  2 - a^2 - a^6 + a^8 + 5*z^2 - (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 
   6*a^6*z^2 + 2*a^8*z^2 + 7*z^4 - (3*z^4)/a^2 + 4*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 50875] -> 
  -a^(-10) + 3/a^8 - 2/a^6 + a^2 - 3*z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (4*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 - z^6/a^6 - 
   z^6/a^4 - z^6/a^2, Knot[15, Alternating, 50876] -> 
  -2/a^14 + a^(-12) + a^(-10) + a^(-6) - z^2/a^16 - z^2/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^14 + 
   (3*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 50877] -> -a^(-14) + 2/a^10 - a^(-8) + a^(-2) - 
   z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 - (3*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 50878] -> 
  2 - 3/a^6 + 5/a^4 - 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (12*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + z^4/a^8 - (7*z^4)/a^6 + 
   (9*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 50879] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 15*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 
   21*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (16*z^4)/a^2 + 11*a^2*z^4 - 
   a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50880] -> a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 - 
   a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   4*a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 50881] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50882] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^2 + a^4*z^2 - 
   z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50883] -> 15 - 7/a^2 - 7*a^2 + 61*z^2 + (6*z^2)/a^4 - 
   (36*z^2)/a^2 - 24*a^2*z^2 + 103*z^4 + (11*z^4)/a^4 - (62*z^4)/a^2 - 
   34*a^2*z^4 + 88*z^6 + (6*z^6)/a^4 - (47*z^6)/a^2 - 24*a^2*z^6 + 41*z^8 + 
   z^8/a^4 - (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 50884] -> 7 - 4/a^2 - 2*a^4 + 21*z^2 + 
   (3*z^2)/a^4 - (16*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 24*z^4 + 
   (4*z^4)/a^4 - (20*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + 15*z^6 + z^6/a^4 - 
   (11*z^6)/a^2 + 13*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 50885] -> 
  7 - 2/a^4 - 4*a^2 + 25*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 
   12*a^2*z^2 + 33*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 - 
   13*a^2*z^4 + 21*z^6 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 
   7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 50886] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 11*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 + 12*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50887] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 53*z^2 + 
   (13*z^2)/a^4 - (44*z^2)/a^2 - 17*a^2*z^2 + 79*z^4 + (28*z^4)/a^4 - 
   (86*z^4)/a^2 - 17*a^2*z^4 + 54*z^6 + (23*z^6)/a^4 - (81*z^6)/a^2 - 
   7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (40*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 50888] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 20*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (9*z^2)/a^2 - 7*a^2*z^2 + 24*z^4 + (7*z^4)/a^6 - (10*z^4)/a^4 - 
   (15*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (13*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 50889] -> 
  6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 14*z^2 + (8*z^2)/a^4 - (21*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + (12*z^4)/a^4 - (29*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (6*z^6)/a^4 - (20*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50890] -> 4 - 2/a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - 
   z^2/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 50891] -> 10*a^8 - 14*a^10 + 5*a^12 - 9*a^6*z^2 + 
   52*a^8*z^2 - 52*a^10*z^2 + 14*a^12*z^2 - 24*a^6*z^4 + 94*a^8*z^4 - 
   76*a^10*z^4 + 16*a^12*z^4 - 22*a^6*z^6 + 83*a^8*z^6 - 53*a^10*z^6 + 
   7*a^12*z^6 - 8*a^6*z^8 + 40*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 
   10*a^8*z^10 - 2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 50892] -> 
  3*a^6 + 2*a^8 - 7*a^10 + 3*a^12 - 3*a^4*z^2 + 10*a^6*z^2 + 13*a^8*z^2 - 
   23*a^10*z^2 + 7*a^12*z^2 - 7*a^4*z^4 + 15*a^6*z^4 + 19*a^8*z^4 - 
   25*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 
   12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 50893] -> 
  a^4 + 2*a^6 - 4*a^10 + 2*a^12 - a^2*z^2 + a^4*z^2 + 9*a^6*z^2 - 
   9*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + a^4*z^4 + 11*a^6*z^4 + a^8*z^4 - 
   7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - 
   2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 50894] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 13*z^4 - (2*z^4)/a^6 - 
   (3*z^4)/a^4 + (16*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + 
   z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 50895] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 + 9*z^2 - 
   27*a^2*z^2 + 30*a^4*z^2 - 9*a^6*z^2 + 20*z^4 - 61*a^2*z^4 + 53*a^4*z^4 - 
   12*a^6*z^4 + 18*z^6 - 62*a^2*z^6 + 42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 50896] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   (2*z^2)/a^2 - 11*a^2*z^2 + 16*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 
   15*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 50897] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - 
   a^4 + 2*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 2*z^4 + 
   (7*z^4)/a^4 - (16*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50898] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + 5*z^2 - 8*a^2*z^2 - 3*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 + 8*z^4 - 17*a^2*z^4 - 6*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 + 
   5*z^6 - 14*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 50899] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + 2*z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + 
   (2*z^4)/a^2 - 9*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 50900] -> 4*a^4 - 4*a^6 + 2*a^8 - 2*a^10 + a^12 - 
   4*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 
   4*a^2*z^4 + 11*a^4*z^4 - 2*a^6*z^4 + 4*a^8*z^4 - 6*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 5*a^4*z^6 + 2*a^6*z^6 + 3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[15, Alternating, 50901] -> 
  8*a^6 - 11*a^8 + 4*a^10 - 8*a^4*z^2 + 32*a^6*z^2 - 26*a^8*z^2 + 
   2*a^10*z^2 + 2*a^12*z^2 - 12*a^4*z^4 + 38*a^6*z^4 - 16*a^8*z^4 - 
   8*a^10*z^4 + 3*a^12*z^4 - 6*a^4*z^6 + 22*a^6*z^6 + a^8*z^6 - 8*a^10*z^6 + 
   a^12*z^6 - a^4*z^8 + 7*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + 
   a^8*z^10, Knot[15, Alternating, 50902] -> 2*a^2 - a^4 + a^8 - 2*a^10 + 
   a^12 - 2*z^2 + 4*a^2*z^2 - a^4*z^2 + 2*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - 
   z^4 + 3*a^2*z^4 + a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   a^4*z^6 + a^6*z^6 + a^8*z^6, Knot[15, Alternating, 50903] -> 
  a^4 + 2*a^6 - 2*a^8 + 7*a^4*z^2 - 11*a^6*z^2 + 15*a^8*z^2 - 6*a^10*z^2 + 
   17*a^4*z^4 - 46*a^6*z^4 + 44*a^8*z^4 - 11*a^10*z^4 + 17*a^4*z^6 - 
   56*a^6*z^6 + 40*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 
   15*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 50904] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + a^2*z^2 + 
   5*a^4*z^2 - 10*a^6*z^2 + 12*a^8*z^2 - 4*a^10*z^2 + 4*a^2*z^4 - 3*a^4*z^4 - 
   13*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 
   10*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50905] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 
   6*a^8*z^2 - 2*a^10*z^2 + z^4 + a^2*z^4 - 6*a^4*z^4 - a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 50906] -> 
  2 - 2*a^2 + 2*a^6 - a^8 - z^2 + z^2/a^2 - 5*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50907] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   a^2*z^2 + a^4*z^2 - 5*z^4 - z^4/a^8 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 50908] -> -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - 11*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 
   18*z^4 + z^4/a^6 - (9*z^4)/a^4 + (19*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 
   13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 50909] -> 
  1 + a^8 - 2*a^10 + a^12 + z^2 - z^2/a^2 + a^8*z^2 - 2*a^10*z^2 + z^4 + 
   a^2*z^4 + a^4*z^4 + a^6*z^4 + a^8*z^4, Knot[15, Alternating, 50910] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^4*z^2 - 
   7*z^4 - z^4/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 50911] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + z^2 + z^2/a^4 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50912] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - (4*z^2)/a^8 + 
   (14*z^2)/a^6 - (17*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (3*z^4)/a^8 + (16*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50913] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 15*z^2 - z^2/a^4 + (8*z^2)/a^2 + 
   14*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (2*z^4)/a^4 + (5*z^4)/a^2 + 
   12*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 12*z^6 + z^6/a^4 - z^6/a^2 + a^2*z^6 + 
   2*a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 50914] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 + 
   (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (2*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 50915] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50916] -> 
  2 + a^(-4) - 2/a^2 - z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (7*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 - (5*z^4)/a^6 + (13*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50917] -> a^(-4) - a^(-2) + a^2 - 3*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50918] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (13*z^2)/a^6 - (17*z^2)/a^4 + 
   (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (18*z^4)/a^6 - 
   (21*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 50919] -> -3 - a^(-4) + 4/a^2 + 2*a^2 - 
   3*a^4 + 2*a^6 - 7*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 8*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50920] -> 1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 - 
   z^2/a^4 - a^2*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 50921] -> 
  -2/a^6 + 3/a^4 - (2*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^10 + (7*z^4)/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50922] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 - z^2/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 2*z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 50923] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 8*z^4 - z^4/a^8 + (5*z^4)/a^6 - (9*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50924] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 17*a^2*z^4 - 
   12*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50925] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 50926] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 50927] -> 
  1 + z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + 
   z^6/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50928] -> 4 + a^(-6) - a^(-4) - 2/a^2 - a^2 + 3*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - z^4 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 50929] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - z^2 + a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^2 + 8*a^2*z^4 - 10*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 
   5*z^6 + z^6/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50930] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (5*z^2)/a^10 - (10*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (3*z^4)/a^10 - (17*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50931] -> 
  3 - a^(-2) - a^2 - 5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 - 16*z^4 - z^4/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50932] -> 2*a^2 - a^4 - 4*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 - 5*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 50933] -> -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 50934] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 
   9*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 
   11*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 50935] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - z^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   8*a^6*z^2 - 7*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 7*a^2*z^4 - 12*a^4*z^4 + 
   13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 9*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 50936] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + 
   (2*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50937] -> 
  a^(-10) - 5/a^8 + 6/a^6 - 2/a^4 + a^(-2) + z^2 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (9*z^4)/a^6 - (10*z^4)/a^4 + z^6 + (3*z^6)/a^8 - z^6/a^6 - (8*z^6)/a^4 - 
   z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50938] -> -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 13*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 50939] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 3*z^2 + z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + (16*z^2)/a^2 - 
   2*a^2*z^2 - z^4 + z^4/a^8 - (6*z^4)/a^6 - (4*z^4)/a^4 + (19*z^4)/a^2 - 
   3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + 
   z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 50940] -> 
  -3 - a^(-4) + 3/a^2 + 3*a^2 - a^4 - 12*z^2 - z^2/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 12*z^4 + (3*z^4)/a^4 + 
   z^4/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 4*z^6 - (3*z^6)/a^2 + 
   5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 50941] -> 
  -a^(-4) + 2/a^2 - z^2 + z^2/a^8 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50942] -> -3/a^8 + 4/a^6 + z^2/a^12 - (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + 
   (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50943] -> 1 - 2/a^4 + 3/a^2 - a^2 - 5*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 12*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 50944] -> 
  a^(-14) - 5/a^12 + 8/a^10 - 6/a^8 + a^(-6) + 2/a^4 - z^2/a^14 - 
   (3*z^2)/a^12 + (15*z^2)/a^10 - (14*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 50945] -> -2 + a^(-10) - 5/a^8 + 8/a^6 - 8/a^4 + 
   7/a^2 - 5*z^2 + (2*z^2)/a^10 - (10*z^2)/a^8 + (19*z^2)/a^6 - 
   (19*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (20*z^4)/a^6 - (21*z^4)/a^4 + (17*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (12*z^6)/a^6 - (13*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 50946] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 7*a^6*z^2 - 
   5*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 11*a^4*z^4 + 11*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 50947] -> -4 + a^(-2) + 8*a^2 - 5*a^4 + a^6 - 12*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 20*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + 
   (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50948] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 50949] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50950] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 21*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (24*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + (4*z^4)/a^6 - 
   (14*z^4)/a^4 + (30*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + 
   (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 50951] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   (3*z^2)/a^10 - (14*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 - z^2/a^2 + 
   z^4/a^12 - (12*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 50952] -> a^4 + 2*a^6 - a^8 - 2*a^10 + 
   a^12 + 2*a^4*z^2 + 7*a^6*z^2 - 5*a^8*z^2 - a^10*z^2 + a^12*z^2 - a^2*z^4 + 
   9*a^6*z^4 - 8*a^8*z^4 - a^10*z^4 + a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 50953] -> -4/a^8 + 7/a^6 - 3/a^4 + a^(-2) - 
   (2*z^2)/a^10 - z^2/a^8 + (15*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50954] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   2*z^2 + z^2/a^10 - (3*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (6*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50955] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   z^2/a^10 - (11*z^2)/a^8 + (20*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 - (6*z^4)/a^8 + (25*z^4)/a^6 - (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (15*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 50956] -> 
  -1 + 4*a^2 - 2*a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 50957] -> a^(-12) - 5/a^10 + 3/a^8 + 3/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (12*z^2)/a^8 + (12*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (18*z^4)/a^10 + (21*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (20*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 50958] -> 4 - 2/a^2 - a^4 + 8*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 50959] -> 9 + a^(-6) - 4/a^4 - 5*a^2 + 
   24*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 12*a^2*z^2 + 29*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 50960] -> 
  -2/a^18 + 11/a^16 - 18/a^14 + 6/a^12 + 4/a^10 - z^2/a^18 + (17*z^2)/a^16 - 
   (53*z^2)/a^14 + (33*z^2)/a^12 + (16*z^2)/a^10 + (4*z^4)/a^16 - 
   (50*z^4)/a^14 + (63*z^4)/a^12 + (25*z^4)/a^10 - (3*z^6)/a^16 - 
   (14*z^6)/a^14 + (54*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + 
   (21*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 50961] -> -a^(-18) + 6/a^16 - 10/a^14 + 3/a^12 + 
   a^(-10) + 2/a^8 + (6*z^2)/a^16 - (24*z^2)/a^14 + (13*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + (23*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (17*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 50962] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 
   3*z^4 + 12*a^2*z^4 - 13*a^4*z^4 + a^6*z^4 + a^8*z^4 - z^6 + 8*a^2*z^6 - 
   8*a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 50963] -> 
  7 - 3/a^2 - 3*a^2 + 37*z^2 + (6*z^2)/a^4 - (26*z^2)/a^2 - 14*a^2*z^2 + 
   71*z^4 + (9*z^4)/a^4 - (48*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - 
   (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 50964] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50965] -> -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 
   3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 50966] -> 
  1 + a^(-6) - 2/a^4 + 3*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50967] -> 
  a^(-14) - 3/a^12 + 4/a^10 - 6/a^8 + 5/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (16*z^2)/a^8 + (12*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - z^4/a^10 - (20*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 50968] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (12*z^4)/a^4 + (14*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 50969] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   5*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (14*z^2)/a^4 + 
   (15*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (20*z^4)/a^4 + 
   (21*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 50970] -> 
  -6 + a^(-6) - 3/a^4 + 6/a^2 + 3*a^2 - 22*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (21*z^2)/a^2 + 7*a^2*z^2 - 29*z^4 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (28*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + 
   (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 50971] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (15*z^2)/a^6 - (20*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (19*z^4)/a^6 - 
   (24*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - 
   (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 50972] -> 5 - 2/a^2 - 2*a^2 + 26*z^2 - 
   (7*z^2)/a^2 - 27*a^2*z^2 + 10*a^4*z^2 + 44*z^4 - (7*z^4)/a^2 - 
   63*a^2*z^4 + 23*a^4*z^4 + 34*z^6 - (4*z^6)/a^2 - 65*a^2*z^6 + 19*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 50973] -> 
  1 + a^(-6) - a^(-4) - a^2 + a^4 - z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 50974] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^14 + z^2/a^12 + (8*z^2)/a^10 - (9*z^2)/a^8 + (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + (2*z^4)/a^10 - (12*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 50975] -> 
  1 + a^(-10) - 4/a^8 + 6/a^6 - 4/a^4 + a^(-2) + 2*z^2 - (5*z^2)/a^8 + 
   (14*z^2)/a^6 - (11*z^2)/a^4 + z^4 - z^4/a^10 - (3*z^4)/a^8 + 
   (14*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50976] -> a^(-12) - 3/a^10 - a^(-8) + 5/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (12*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (28*z^4)/a^8 + (10*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (25*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 50977] -> 2 - a^(-2) + a^2 - a^4 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 12*a^2*z^4 + 7*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 50978] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 + a^6*z^2 - 6*z^4 + (3*z^4)/a^4 + a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 50979] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 9*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 50980] -> a^(-2) - a^2 + a^4 - 3*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 50981] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - z^2/a^10 - 
   z^2/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (9*z^4)/a^8 - z^4/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (13*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50982] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 - 
   z^2/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 12*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^6 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 50983] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 7*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^6 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 50984] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 11*z^2 + z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 12*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   8*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 50985] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 50986] -> -a^(-8) + a^(-6) + a^(-2) - 
   z^2 + (2*z^2)/a^8 - (4*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (8*z^6)/a^6 - (5*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 50987] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 5*z^2 + 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 50988] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + z^2/a^4 + 2*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 50989] -> 
  -4/a^8 + 7/a^6 - 3/a^4 + a^(-2) + z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 - z^4/a^8 + 
   (14*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 50990] -> -1 + a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   z^2 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + 
   z^4/a^2 - 5*a^2*z^4 + 3*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 50991] -> 
  a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 3*a^2*z^2 + a^4*z^2 + a^6*z^2 - 
   a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 4*a^4*z^4 + 5*a^6*z^4 - 
   a^8*z^4 - 5*z^6 + z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 50992] -> 
  2 + a^(-4) - 2/a^2 - z^2 - z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 2*z^6 + z^6/a^4 + 
   5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 50993] -> 6 - 2/a^2 - 4*a^2 + a^4 + 
   7*z^2 - z^2/a^2 - 6*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 2*z^4 - 2*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 50994] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (4*z^6)/a^4 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 50995] -> 2 - 2*a^2 + a^4 + 11*z^2 - (4*z^2)/a^2 - 
   9*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 17*z^4 - (6*z^4)/a^2 - 8*a^2*z^4 - 
   7*a^4*z^4 + 3*a^6*z^4 + 12*z^6 - (4*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 50996] -> a^(-2) - a^2 + a^4 + z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 50997] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - z^2 + 
   4*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 
   2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 50998] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   2*z^2 + z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   z^4/a^2 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 2*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 50999] -> 
  -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 20*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (16*z^4)/a^4 + (27*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51000] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 + z^2 - z^2/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 51001] -> 
  3 - 4*a^2 + 2*a^4 + 11*z^2 - (4*z^2)/a^2 - 10*a^2*z^2 - a^4*z^2 + 
   2*a^6*z^2 + 17*z^4 - (6*z^4)/a^2 - 8*a^2*z^4 - 7*a^4*z^4 + 3*a^6*z^4 + 
   12*z^6 - (4*z^6)/a^2 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 51002] -> 
  -2 + 2/a^2 + a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 51003] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2 + 
   4*a^2*z^2 - 3*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 
   2*a^4*z^4 - 9*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 2*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 51004] -> a^4 + a^6 + 2*a^8 - 5*a^10 + 
   2*a^12 + a^4*z^2 + 5*a^6*z^2 + 7*a^8*z^2 - 14*a^10*z^2 + 5*a^12*z^2 - 
   2*a^4*z^4 + 6*a^6*z^4 + 9*a^8*z^4 - 16*a^10*z^4 + 4*a^12*z^4 - 3*a^4*z^6 + 
   6*a^6*z^6 + 7*a^8*z^6 - 9*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   4*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 51005] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + a^10 + 
   2*z^2 - z^2/a^2 - 5*a^4*z^2 + 6*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 51006] -> 2*a^2 - a^4 - a^6 + 2*a^8 - a^10 + 
   2*a^2*z^2 - 6*a^6*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + a^2*z^4 - a^4*z^4 - 
   8*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 2*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 3*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 51007] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + z^2 - a^2*z^2 - 3*a^4*z^2 + 10*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - 8*a^2*z^4 - 2*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 51008] -> 1 - a^2 + a^4 + a^6 - a^8 + z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 4*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51009] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 - a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 
   4*a^8*z^2 + 4*z^4 - 8*a^2*z^4 - 2*a^4*z^4 + 13*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 9*a^2*z^6 - 4*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 51010] -> 1 - a^4 + 2*a^6 - a^8 + z^2 - 3*a^2*z^2 + 
   a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + z^4/a^2 - 4*a^2*z^4 + 2*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51011] -> 
  a^2 + a^6 - a^8 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^2 + a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 
   2*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51012] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   (4*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51013] -> 
  2 - 2*a^2 + a^4 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + a^4*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 51014] -> 1 + 3*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (5*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51015] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 3*a^2*z^6 + 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51016] -> 2 - 2*a^2 + a^4 - z^2 + z^2/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 + a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + 
   z^8 + z^8/a^2, Knot[15, Alternating, 51017] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + 2*a^4*z^2 - 4*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + 
   a^2*z^4 - 5*a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 + 4*a^10*z^4 + 2*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 51018] -> -1 - 2/a^4 + 4/a^2 - 8*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + (19*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51019] -> 
  -4/a^10 + 4/a^8 + 2/a^6 - a^(-4) + (3*z^2)/a^12 - (20*z^2)/a^10 + 
   (24*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (30*z^4)/a^10 + 
   (44*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 + z^6/a^12 - (17*z^6)/a^10 + 
   (36*z^6)/a^8 + (13*z^6)/a^6 - (6*z^6)/a^4 - (3*z^8)/a^10 + (14*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51020] -> -3/a^10 + 2/a^8 + 3/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (8*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (10*z^4)/a^10 + (10*z^4)/a^8 + (18*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51021] -> -2/a^10 + 4/a^6 - a^(-4) + z^2/a^12 - 
   (5*z^2)/a^10 + (16*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (3*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51022] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - 
   (2*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51023] -> -1 + a^(-2) + a^2 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 9*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 7*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51024] -> -3/a^6 + 5/a^4 - a^(-2) + (3*z^2)/a^10 - 
   (4*z^2)/a^8 - (9*z^2)/a^6 + (21*z^2)/a^4 - (7*z^2)/a^2 + (4*z^4)/a^10 - 
   (13*z^4)/a^8 - (5*z^4)/a^6 + (28*z^4)/a^4 - (11*z^4)/a^2 + z^6/a^10 - 
   (10*z^6)/a^8 + (5*z^6)/a^6 + (19*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + 
   (5*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 51025] -> -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 51026] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + z^2/a^10 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (2*z^6)/a^8 + (6*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 51027] -> 
  5*a^4 - 5*a^6 + a^10 - 4*a^2*z^2 + 20*a^4*z^2 - 17*a^6*z^2 - 5*a^8*z^2 + 
   6*a^10*z^2 - 10*a^2*z^4 + 25*a^4*z^4 - 13*a^6*z^4 - 16*a^8*z^4 + 
   5*a^10*z^4 - 6*a^2*z^6 + 18*a^4*z^6 + 3*a^6*z^6 - 11*a^8*z^6 + a^10*z^6 - 
   a^2*z^8 + 7*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 51028] -> a^2 + 3*a^4 - 4*a^6 + a^10 - z^2 + 
   3*a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   2*a^2*z^4 + 6*a^4*z^4 - 7*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 51029] -> 2*a^2 + a^4 - 3*a^6 + a^10 - 
   2*z^2 + 5*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 - a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   4*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 
   3*a^2*z^6 + 6*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 51030] -> 2*a^2 - 2*a^6 + a^8 + z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 51031] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 9*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51032] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 + (3*z^2)/a^8 - 
   (5*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (3*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51033] -> 2*a^2 + a^4 - 3*a^6 + a^10 + 2*a^2*z^2 - 
   4*a^6*z^2 - a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4 - 
   3*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 51034] -> 3 - 3*a^2 + a^6 + 16*z^2 - (6*z^2)/a^2 - 
   11*a^2*z^2 - 7*a^4*z^2 + 5*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 7*a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51035] -> 2 + a^(-4) - 2/a^2 - z^2 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51036] -> a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (3*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 51037] -> -4 + 2/a^2 + 4*a^2 - a^4 - 
   15*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + z^4/a^6 - (9*z^4)/a^4 + (17*z^4)/a^2 + 13*a^2*z^4 - 
   3*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 
   5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 51038] -> 
  -a^(-4) + 2/a^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   2*a^2*z^2 + a^4*z^2 + z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 51039] -> -2/a^10 + a^(-8) + 2/a^6 - z^2 + 
   z^2/a^12 - (4*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 51040] -> 
  -a^(-8) + 2/a^4 - z^2 + z^2/a^12 - z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + (4*z^4)/a^6 + 
   (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 51041] -> a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + a^6*z^2 - 4*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^2*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 51042] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 + z^2/a^10 - z^2/a^8 - z^2/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 + 
   z^4/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 51043] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + (4*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 51044] -> 1 + 2*a^4 - 3*a^6 + a^10 + 2*z^2 - z^2/a^2 - 
   a^2*z^2 + a^4*z^2 - 3*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   a^2*z^4 + a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 51045] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 
   4*z^2 - z^2/a^6 + (6*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 9*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 7*z^6 + (2*z^6)/a^4 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51046] -> 2*a^2 - 2*a^6 + a^8 + z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   6*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 51047] -> 2 + a^(-4) - 2/a^2 - z^2 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 6*z^4 + (4*z^4)/a^4 - 
   (7*z^4)/a^2 + 9*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51048] -> a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (3*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 51049] -> 2/a^8 - 3/a^6 - a^(-4) + 3/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 51050] -> 7 - 3/a^2 - 3*a^2 + 21*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 51051] -> 
  1 + a^(-2) - 2*a^2 + a^6 - z^2 - z^2/a^6 + (4*z^2)/a^2 - 7*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 51052] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^4 + 
   a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 
   2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 51053] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (8*z^4)/a^6 + (20*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51054] -> 1 + 2/a^4 - 3/a^2 + a^2 - 6*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 51055] -> 
  2 - a^2 - a^4 + a^6 + 12*z^2 - (4*z^2)/a^2 - 9*a^2*z^2 - 5*a^4*z^2 + 
   4*a^6*z^2 + 20*z^4 - (8*z^4)/a^2 - 8*a^2*z^4 - 12*a^4*z^4 + 4*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 51056] -> 
  3 - 3*a^2 + a^6 + 5*z^2 - z^2/a^4 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 
   6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51057] -> 2 + a^(-4) - 2/a^2 - z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 51058] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - z^4/a^8 + (4*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51059] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51060] -> 
  -2/a^10 + 4/a^6 - a^(-4) - z^2 + z^2/a^12 - (3*z^2)/a^10 - z^2/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4 - (3*z^4)/a^10 + (11*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 51061] -> -2/a^8 + 2/a^6 + a^(-4) - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4 - 
   (3*z^4)/a^10 - z^4/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 51062] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 51063] -> -1 + a^(-2) + a^2 - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   4*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   z^6 - (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 51064] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - 
   (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 51065] -> 
  1 + a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^4 + a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   2*a^8*z^2 + 2*z^4 + (2*z^4)/a^2 - 2*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 - z^6 - 
   2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 51066] -> 
  1 + a^(-2) - 2*a^2 + a^6 - z^2 - z^2/a^6 + (4*z^2)/a^2 - 7*a^2*z^2 - 
   a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (2*z^4)/a^4 + (3*z^4)/a^2 - 6*a^2*z^4 - 
   a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 51067] -> 1 + a^(-8) - 2/a^6 + a^(-4) + 2*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 - a^4*z^2 + 2*z^4 + 
   z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + 2*a^2*z^4 - z^6 - z^6/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 51068] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51069] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51070] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51071] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^14 + (9*z^2)/a^12 - (10*z^2)/a^10 + 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (22*z^4)/a^12 - (23*z^4)/a^10 - 
   z^4/a^8 + (12*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 51072] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51073] -> 
  -1 - 2/a^8 + 2/a^6 + 2/a^2 - 4*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + 
   (11*z^2)/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (10*z^4)/a^8 + (18*z^4)/a^6 - (11*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (13*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51074] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51075] -> -2/a^12 + 2/a^10 + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^10 + (4*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (6*z^4)/a^10 - 
   (5*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51076] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + 
   (3*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (2*z^4)/a^12 + (3*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51077] -> 1 - 2/a^4 + 3/a^2 - a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 + 
   5*z^4 + z^4/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + (13*z^4)/a^2 - 4*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (9*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51078] -> 
  2 - a^(-4) + a^(-2) - a^2 + 4*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 5*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^4*z^4 + 3*z^6 + z^6/a^4 + (3*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 51079] -> -4/a^14 + 4/a^12 + a^(-8) - (3*z^2)/a^16 - 
   (10*z^2)/a^14 + (20*z^2)/a^12 + (4*z^2)/a^10 + (7*z^2)/a^8 - 
   (4*z^4)/a^16 - (3*z^4)/a^14 + (30*z^4)/a^12 + (13*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (17*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51080] -> -3/a^14 + 2/a^12 + a^(-10) + a^(-8) - 
   (2*z^2)/a^16 - (5*z^2)/a^14 + (8*z^2)/a^12 + (9*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 + (11*z^4)/a^12 + (14*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 51081] -> -2/a^14 + 2/a^10 + a^(-8) - 
   z^2/a^16 - (5*z^2)/a^14 + (4*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (9*z^4)/a^12 + (14*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51082] -> 
  a^2 + a^4 - a^6 - 8*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 
   15*z^4 + (4*z^4)/a^2 + 6*a^2*z^4 + 17*a^4*z^4 - 8*a^6*z^4 - 10*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 14*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 51083] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - 4*z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 + 5*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 51084] -> 
  3*a^2 - a^4 - 2*a^6 + a^10 - 3*z^2 + 6*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 - 
   2*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 5*a^2*z^4 + 8*a^4*z^4 - 8*a^6*z^4 - 
   6*a^8*z^4 + a^10*z^4 - z^6 + 4*a^2*z^6 + 8*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51085] -> 
  1 + a^2 - 2*a^6 + a^10 - z^2/a^2 + 3*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 - 
   a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 51086] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 + 4*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 51087] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51088] -> -3/a^8 + 4/a^6 - z^2/a^14 + 
   z^2/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51089] -> 1 + 2/a^8 - 4/a^6 + 2/a^4 + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (4*z^4)/a^6 - (4*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51090] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51091] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - z^6 + 
   (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 51092] -> a^(-2) - a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 51093] -> 
  a^2 + 4*a^4 - 6*a^6 + a^8 + a^10 - z^2 + 2*a^2*z^2 + 5*a^4*z^2 - 
   8*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 5*a^4*z^4 - 
   5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51094] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (10*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (3*z^8)/a^2, Knot[15, Alternating, 51095] -> 
  -2/a^14 + 2/a^10 + a^(-8) - z^2/a^16 - (3*z^2)/a^14 + (3*z^2)/a^12 + 
   (9*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^4/a^14 + 
   (5*z^4)/a^12 + (8*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 51096] -> -a^(-12) + a^(-10) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51097] -> 1 - 2*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51098] -> 
  -2 + 2/a^2 + a^4 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^6*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 51099] -> -a^(-14) + a^(-10) - a^(-8) + 
   2/a^6 - z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 + z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - 
   (6*z^4)/a^8 + z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51100] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^12 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (13*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (10*z^4)/a^10 - (18*z^4)/a^8 + (16*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (13*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 51101] -> -3/a^8 + 4/a^6 - z^2/a^14 + z^2/a^12 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 - (16*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51102] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - z^2/a^16 - (4*z^2)/a^14 - z^2/a^12 + 
   (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (7*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51103] -> 7 - 3/a^2 - 3*a^2 + 21*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 - z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 51104] -> 
  3 - 3*a^2 + a^6 + 16*z^2 - (6*z^2)/a^2 - 11*a^2*z^2 - 7*a^4*z^2 + 
   5*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 7*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 51105] -> 
  1 + a^(-2) - 2*a^2 + a^6 + 3*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51106] -> 
  a^2 + 4*a^4 - 6*a^6 + a^8 + a^10 - z^2 + 2*a^2*z^2 + 5*a^4*z^2 - 
   8*a^6*z^2 - 2*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 2*a^2*z^4 + 5*a^4*z^4 - 
   5*a^6*z^4 - 4*a^8*z^4 + a^10*z^4 - z^6 + 2*a^2*z^6 + 5*a^4*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51107] -> 
  4 - 5*a^2 + a^4 + a^6 + 15*z^2 - (6*z^2)/a^2 - 11*a^2*z^2 - 6*a^4*z^2 + 
   4*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 6*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 
   16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 51108] -> 
  -1 + 2/a^2 - a^2 + a^6 + 3*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51109] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51110] -> -2/a^14 + a^(-12) + 2/a^8 - z^2/a^16 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + 
   z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 + (6*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 51111] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (13*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51112] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + 2*z^2 - 3*a^2*z^2 - 4*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51113] -> 
  9 - 4/a^2 - 4*a^2 + 28*z^2 + (4*z^2)/a^6 - (8*z^2)/a^4 - (8*z^2)/a^2 - 
   12*a^2*z^2 + 34*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 - z^4/a^2 - 13*a^2*z^4 + 
   21*z^6 + z^6/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 51114] -> 4 - 2/a^2 - a^4 + 10*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 11*z^4 + z^4/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51115] -> 2 - a^2 - a^4 + a^6 + 12*z^2 - (4*z^2)/a^2 - 
   9*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 + 20*z^4 - (8*z^4)/a^2 - 8*a^2*z^4 - 
   12*a^4*z^4 + 4*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51116] -> 3 - 3*a^2 + a^6 + 5*z^2 - z^2/a^4 - 
   6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51117] -> 
  7*a^4 - 9*a^6 + 2*a^8 + a^10 - 6*a^2*z^2 + 23*a^4*z^2 - 19*a^6*z^2 - 
   6*a^8*z^2 + 6*a^10*z^2 - 11*a^2*z^4 + 28*a^4*z^4 - 11*a^6*z^4 - 
   17*a^8*z^4 + 5*a^10*z^4 - 6*a^2*z^6 + 19*a^4*z^6 + 4*a^6*z^6 - 
   11*a^8*z^6 + a^10*z^6 - a^2*z^8 + 7*a^4*z^8 + 5*a^6*z^8 - 2*a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[15, Alternating, 51118] -> 
  2*a^2 + 2*a^4 - 5*a^6 + a^8 + a^10 - 2*z^2 + 3*a^2*z^2 + 6*a^4*z^2 - 
   10*a^6*z^2 - 3*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + 8*a^4*z^4 - 
   6*a^6*z^4 - 6*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51119] -> 
  4*a^2 - 3*a^4 - a^6 + a^10 - 4*z^2 + 8*a^2*z^2 - 9*a^6*z^2 - a^8*z^2 + 
   2*a^10*z^2 - 4*z^4 + 7*a^2*z^4 + 7*a^4*z^4 - 8*a^6*z^4 - 4*a^8*z^4 + 
   a^10*z^4 - z^6 + 4*a^2*z^6 + 7*a^4*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 51120] -> 2*a^2 - a^4 - 12*z^2 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 2*a^6*z^2 - 18*z^4 + (4*z^4)/a^2 + 15*a^2*z^4 + 
   6*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + z^6/a^2 + 11*a^2*z^6 + 9*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 51121] -> 2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 5*z^4 + 
   z^4/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - 
   (2*z^6)/a^2 + a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 51122] -> 2 - a^2 + a^4 - 2*a^6 + a^10 + 2*z^2 - 
   (2*z^2)/a^2 - 4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 51123] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + (6*z^2)/a^4 - (16*z^2)/a^2 + 5*a^2*z^2 - 
   4*a^4*z^2 + 6*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 
   3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 51124] -> 1 + 5*z^2 - 12*a^2*z^2 + 6*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 + 8*z^4 - 21*a^2*z^4 + 6*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 51125] -> 2 - 2*a^2 + a^4 + z^2/a^2 - 6*a^2*z^2 + 
   4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51126] -> 
  -2 + a^(-4) + 2*a^2 - 6*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51127] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - z^2/a^16 - (4*z^2)/a^14 - z^2/a^12 + 
   (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (7*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51128] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (13*z^2)/a^4 + (13*z^2)/a^2 - a^2*z^2 + z^4 + (2*z^4)/a^8 - 
   (17*z^4)/a^4 + (13*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51129] -> 1 - 2*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 
   4*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51130] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 51131] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51132] -> a^(-4) - a^(-2) + a^2 - 5*z^2 - 
   (4*z^2)/a^6 + (12*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (8*z^4)/a^6 + (20*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51133] -> 4 - 5*a^2 + a^4 + a^6 + 15*z^2 - 
   (6*z^2)/a^2 - 11*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 
   6*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 16*z^6 - (5*z^6)/a^2 + 3*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 51134] -> 1 + 2/a^4 - 3/a^2 + a^2 - 
   6*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 51135] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 + 
   (4*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51136] -> a^(-2) - a^4 + a^6 - 3*z^2 - z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - 
   z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 51137] -> 
  -1 + 2/a^2 - a^2 + a^6 + 3*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 7*a^2*z^2 - 
   3*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 5*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51138] -> 
  2 + a^(-4) - 2/a^2 - z^2 + z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^6*z^2 - 3*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 51139] -> 4 + a^(-4) - 3/a^2 - a^2 + 9*z^2 + 
   (6*z^2)/a^4 - (16*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51140] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^6*z^2 - 6*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 + 
   4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 51141] -> 
  -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51142] -> a^(-2) - a^2 + 2*a^6 - a^8 - 2*z^2 + 
   z^2/a^2 - a^2*z^2 - 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - 
   z^4/a^2 - 4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 51143] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 - 
   (2*z^4)/a^4 + z^4/a^2 + 3*a^4*z^4 - a^6*z^4 + z^6 + z^6/a^2 + a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 51144] -> a^(-2) + a^4 - 2*a^6 + a^10 - 
   z^2/a^4 - a^2*z^2 - 2*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 + a^6*z^4, Knot[15, Alternating, 51145] -> 
  1 + 5*z^2 - 12*a^2*z^2 + 6*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 8*z^4 - 
   21*a^2*z^4 + 6*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - 
   2*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 51146] -> 
  2 - 2*a^2 + a^4 + z^2/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 
   2*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51147] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (8*z^2)/a^8 + (14*z^2)/a^6 - (5*z^2)/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (27*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 51148] -> -a^(-10) - a^(-8) + 3/a^6 + 
   z^2/a^12 - (5*z^2)/a^10 + (2*z^2)/a^8 + (10*z^2)/a^6 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 + (5*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51149] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 11*a^2*z^2 - 
   12*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 7*z^4 + z^4/a^2 + 18*a^2*z^4 - 
   15*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51150] -> 2 + a^(-4) - 2/a^2 - 2*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + 
   (15*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51151] -> 
  2*a^2 - a^4 + z^2/a^4 - (4*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 - z^4 + 
   (5*z^4)/a^4 - (9*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51152] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 + (3*z^2)/a^10 - (10*z^2)/a^8 + 
   (16*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - (3*z^4)/a^10 - (8*z^4)/a^8 + 
   (19*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + (12*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 51153] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 9*z^2 + (4*z^2)/a^8 - (21*z^2)/a^6 + 
   (24*z^2)/a^4 + (8*z^2)/a^2 - 12*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (45*z^4)/a^4 + (13*z^4)/a^2 - 6*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (37*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 51154] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 5*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (5*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (8*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 51155] -> -3/a^10 + 2/a^8 + 3/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (15*z^2)/a^10 + (15*z^2)/a^8 + (12*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^4)/a^12 - (24*z^4)/a^10 + (30*z^4)/a^8 + (14*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 51156] -> -2/a^10 + 4/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (3*z^2)/a^8 + (13*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (5*z^4)/a^8 + (15*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51157] -> 3 - a^(-2) - a^2 + 11*z^2 + (4*z^2)/a^6 - 
   (8*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 17*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + 
   (4*z^4)/a^2 - 8*a^2*z^4 + 14*z^6 + z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 51158] -> 1 + 4*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (2*z^2)/a^2 - a^4*z^2 + 7*z^4 + z^4/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51159] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 11*z^2 - (3*z^2)/a^2 - 9*a^2*z^2 - 11*a^4*z^2 + 
   7*a^6*z^2 + 15*z^4 - (7*z^4)/a^2 - 3*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 6*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51160] -> 2 + a^(-2) - 3*a^2 - a^4 + 2*a^6 + 3*z^2 - 
   z^2/a^4 + z^2/a^2 - 7*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51161] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51162] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - (3*z^2)/a^14 + (3*z^2)/a^12 + 
   (5*z^2)/a^10 - (10*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (18*z^4)/a^12 - (9*z^4)/a^10 - (10*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (14*z^6)/a^12 - (19*z^6)/a^10 - (9*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (11*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51163] -> -a^(-12) + 2/a^10 - 3/a^8 + 2/a^6 + a^(-4) + 
   z^2/a^12 + z^2/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (3*z^4)/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51164] -> 
  -3/a^14 + 3/a^12 - a^(-10) + 2/a^8 - (2*z^2)/a^16 - (9*z^2)/a^14 + 
   (16*z^2)/a^12 + (2*z^2)/a^10 + (9*z^2)/a^8 - (3*z^4)/a^16 - (4*z^4)/a^14 + 
   (25*z^4)/a^12 + (11*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (15*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51165] -> 
  -2/a^14 + a^(-12) + 2/a^8 - z^2/a^16 - (5*z^2)/a^14 + (5*z^2)/a^12 + 
   (8*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + 
   (9*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51166] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 - 
   3*a^2*z^2 - 2*a^4*z^2 + 12*a^6*z^2 - 5*a^8*z^2 + 7*z^4 - 12*a^2*z^4 - 
   5*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 8*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 51167] -> 
  a^2 + a^6 - a^8 + z^2 - 2*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51168] -> 2/a^2 - 2*a^2 - a^4 + 2*a^6 + 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 8*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 8*z^4 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51169] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 10*z^2 - 
   (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51170] -> 
  5 - 6*a^2 + 2*a^6 + 12*z^2 - (4*z^2)/a^2 - 9*a^2*z^2 - 12*a^4*z^2 + 
   7*a^6*z^2 + 17*z^4 - (8*z^4)/a^2 - a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51171] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + z^2/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - z^4 + (3*z^4)/a^2 - 
   10*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51172] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + z^2/a^2 - 
   2*a^2*z^2 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 51173] -> 4 + a^(-4) - 3/a^2 - a^2 + 11*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - (8*z^2)/a^2 - 4*a^2*z^2 + 
   10*z^4 + z^4/a^8 - (6*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - 4*a^2*z^4 + 
   5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 51174] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + z^2/a^8 - z^2/a^6 - (3*z^2)/a^2 + a^2*z^2 - 
   a^4*z^2 + 2*z^4 - (2*z^4)/a^6 - z^4/a^4 + a^2*z^4 - a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 51175] -> 
  1 + a^(-4) - 2*a^2 - a^4 + 2*a^6 - z^2/a^6 - 4*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^6 + z^4/a^4 + (3*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 51176] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 51177] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (3*z^2)/a^8 + (15*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (16*z^4)/a^10 + (16*z^4)/a^8 + (14*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (19*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 51178] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 
   21*z^2 + (3*z^2)/a^4 - (19*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 43*z^4 + 
   (4*z^4)/a^4 - (30*z^4)/a^2 + 15*a^2*z^4 - 12*a^4*z^4 + 36*z^6 + z^6/a^4 - 
   (17*z^6)/a^2 + 13*a^2*z^6 - 6*a^4*z^6 + 14*z^8 - (3*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 51179] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (13*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + 
   (28*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 51180] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 15*z^2 + z^2/a^6 - (4*z^2)/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 5*a^4*z^2 + 22*z^4 + z^4/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - 4*a^4*z^4 + 13*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 51181] -> 
  -2/a^10 + 4/a^6 - a^(-4) + (3*z^2)/a^12 - (13*z^2)/a^10 + (10*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (23*z^4)/a^10 + (26*z^4)/a^8 + 
   (15*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (26*z^6)/a^8 + 
   (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 51182] -> 
  -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - (7*z^2)/a^10 + (5*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51183] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51184] -> 
  -2 + 3/a^4 - 3/a^2 + 3*a^2 - 12*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - (7*z^4)/a^6 + (14*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51185] -> 
  -1 + 3/a^4 - 3/a^2 + a^2 + a^4 - 8*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 7*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (4*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51186] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 - z^2/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (15*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51187] -> -2/a^14 + 2/a^12 - 2/a^10 + 3/a^8 - 
   z^2/a^16 - (9*z^2)/a^14 + (13*z^2)/a^12 + z^2/a^10 + (10*z^2)/a^8 - 
   (3*z^4)/a^16 - (5*z^4)/a^14 + (23*z^4)/a^12 + (10*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (15*z^6)/a^12 + (9*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51188] -> -2/a^14 + 2/a^12 - a^(-10) + a^(-8) + 
   a^(-6) - z^2/a^16 - (4*z^2)/a^14 + (5*z^2)/a^12 + (5*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (8*z^4)/a^12 + 
   (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51189] -> 
  -2 + a^(-6) + a^(-4) - 2/a^2 + 3*a^2 - 7*z^2 - z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - (3*z^4)/a^8 + z^4/a^6 + 
   (8*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 51190] -> -1 + a^(-6) + a^(-4) - 2/a^2 + a^2 + a^4 - 
   6*z^2 - z^2/a^8 + (2*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^8 + (4*z^4)/a^4 + (2*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 51191] -> 
  -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + (4*z^2)/a^10 - (16*z^2)/a^8 + 
   (21*z^2)/a^6 - (4*z^2)/a^4 + (2*z^4)/a^12 - (5*z^4)/a^10 - (8*z^4)/a^8 + 
   (25*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (7*z^6)/a^10 + (3*z^6)/a^8 + 
   (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 51192] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2/a^12 - (4*z^2)/a^10 + (7*z^2)/a^8 - 
   (7*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   (6*z^4)/a^8 - (4*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51193] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 18*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 + 9*a^2*z^2 - 
   26*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - (8*z^4)/a^2 + 12*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (11*z^6)/a^4 - (12*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51194] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 9*z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + 
   (19*z^2)/a^2 - 12*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (8*z^4)/a^4 + 
   (26*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + (12*z^6)/a^4 + 
   (19*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 51195] -> -1 - a^(-6) + 3/a^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 51196] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 51197] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 + 
   (2*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (8*z^4)/a^6 - (26*z^4)/a^4 + (12*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (12*z^6)/a^6 - (19*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51198] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   (3*z^2)/a^12 - (10*z^2)/a^10 + z^2/a^8 + (21*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (18*z^4)/a^10 + (10*z^4)/a^8 + (28*z^4)/a^6 - 
   (11*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + (12*z^6)/a^8 + (19*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 51199] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - (5*z^2)/a^10 - z^2/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (13*z^4)/a^6 + (3*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + 
   (8*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51200] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (13*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (8*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51201] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (4*z^4)/a^10 - 
   (2*z^4)/a^8 + (10*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51202] -> 2/a^8 - 2/a^6 - 3/a^4 + 4/a^2 - 
   z^2/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 
   (6*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - (21*z^4)/a^4 + (6*z^4)/a^2 - 
   (5*z^6)/a^10 + (12*z^6)/a^8 + (4*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51203] -> 1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 3*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 - (10*z^2)/a^4 + z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51204] -> 
  2 + 2/a^8 - 2/a^6 - a^(-4) + 3*z^2 - z^2/a^10 + (4*z^2)/a^8 - (2*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51205] -> -a^(-14) + 2/a^12 - 5/a^10 + 5/a^8 - 
   (10*z^2)/a^14 + (26*z^2)/a^12 - (30*z^2)/a^10 + (25*z^2)/a^8 - 
   (15*z^4)/a^14 + (60*z^4)/a^12 - (66*z^4)/a^10 + (41*z^4)/a^8 - 
   (7*z^6)/a^14 + (50*z^6)/a^12 - (70*z^6)/a^10 + (29*z^6)/a^8 - z^8/a^14 + 
   (17*z^8)/a^12 - (38*z^8)/a^10 + (9*z^8)/a^8 + (2*z^10)/a^12 - 
   (10*z^10)/a^10 + z^10/a^8 - z^12/a^10, Knot[15, Alternating, 51206] -> 
  -a^(-14) + 2/a^12 - 4/a^10 + 3/a^8 + a^(-6) - (6*z^2)/a^14 + 
   (14*z^2)/a^12 - (11*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - (5*z^4)/a^14 + 
   (22*z^4)/a^12 - (13*z^4)/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + 
   (12*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^8)/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 51207] -> -a^(-14) + 2/a^12 - 3/a^10 + 
   a^(-8) + 2/a^6 - (4*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 - z^2/a^8 + 
   (9*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - (3*z^4)/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 51208] -> 
  -a^(-14) + 2/a^12 - 3/a^10 + a^(-8) + 2/a^6 - (3*z^2)/a^14 + (6*z^2)/a^12 - 
   z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + 
   z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51209] -> 
  -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - (4*z^2)/a^14 + (8*z^2)/a^12 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - 
   (3*z^4)/a^10 - (10*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - 
   (7*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51210] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51211] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 19*z^2 - 
   (6*z^2)/a^6 + (10*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - 
   (11*z^4)/a^6 + (21*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^6 + (18*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51212] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 10*z^2 - 
   (6*z^2)/a^2 + 5*a^2*z^2 - 18*a^4*z^2 + 7*a^6*z^2 + 21*z^4 - (11*z^4)/a^2 + 
   10*a^2*z^4 - 24*a^4*z^4 + 5*a^6*z^4 + 18*z^6 - (6*z^6)/a^2 + 12*a^2*z^6 - 
   12*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 51213] -> 2 - 3*a^4 + 2*a^6 + 8*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 12*z^4 - 
   (3*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 8*z^6 - 
   z^6/a^4 + (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51214] -> -3 + a^(-4) + a^(-2) + a^2 + a^4 - 9*z^2 - 
   (4*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 5*z^4 - 
   (4*z^4)/a^6 + (6*z^4)/a^4 + (11*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 51215] -> 
  a^4 + 3*a^6 - 4*a^8 + a^10 - 4*a^2*z^2 + 10*a^4*z^2 + 7*a^6*z^2 - 
   15*a^8*z^2 + 6*a^10*z^2 - 10*a^2*z^4 + 19*a^4*z^4 + 9*a^6*z^4 - 
   22*a^8*z^4 + 5*a^10*z^4 - 6*a^2*z^6 + 17*a^4*z^6 + 11*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 - a^2*z^8 + 7*a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[15, Alternating, 51216] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - z^2 + 8*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + a^2*z^4 + 10*a^4*z^4 - 2*a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51217] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - 2*z^2 + 2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   4*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 3*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 7*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51218] -> 
  a^8 - a^10 + 6*a^12 - 5*a^14 + 15*a^8*z^2 - 16*a^10*z^2 + 40*a^12*z^2 - 
   20*a^14*z^2 + 35*a^8*z^4 - 50*a^10*z^4 + 76*a^12*z^4 - 21*a^14*z^4 + 
   28*a^8*z^6 - 63*a^10*z^6 + 57*a^12*z^6 - 8*a^14*z^6 + 9*a^8*z^8 - 
   37*a^10*z^8 + 18*a^12*z^8 - a^14*z^8 + a^8*z^10 - 10*a^10*z^10 + 
   2*a^12*z^10 - a^10*z^12, Knot[15, Alternating, 51219] -> 
  a^8 + 4*a^12 - 4*a^14 + 4*a^6*z^2 + 6*a^8*z^2 + 18*a^12*z^2 - 10*a^14*z^2 + 
   10*a^6*z^4 + a^8*z^4 - 4*a^10*z^4 + 26*a^12*z^4 - 6*a^14*z^4 + 6*a^6*z^6 - 
   9*a^8*z^6 - 10*a^10*z^6 + 13*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   6*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 51220] -> a^8 + a^10 + 2*a^12 - 3*a^14 + 6*a^6*z^2 + 
   a^8*z^2 + 7*a^10*z^2 + 10*a^12*z^2 - 7*a^14*z^2 + 11*a^6*z^4 - 6*a^8*z^4 + 
   5*a^10*z^4 + 18*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 11*a^8*z^6 - 
   5*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 51221] -> 
  a^8 + a^10 + 2*a^12 - 3*a^14 + a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 + 
   5*a^10*z^2 + 7*a^12*z^2 - 4*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 
   4*a^10*z^4 + 8*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 7*a^8*z^6 - 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 51222] -> a^8 + 2*a^10 - 2*a^14 + 6*a^6*z^2 + 
   9*a^10*z^2 + 8*a^12*z^2 - 7*a^14*z^2 + 11*a^6*z^4 - 6*a^8*z^4 + 
   6*a^10*z^4 + 18*a^12*z^4 - 5*a^14*z^4 + 6*a^6*z^6 - 11*a^8*z^6 - 
   5*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 5*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 51223] -> 
  2*a^8 + a^12 - 2*a^14 + 2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 + 5*a^10*z^2 + 
   4*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 2*a^6*z^4 - 2*a^8*z^4 + 5*a^10*z^4 + 
   6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 51224] -> a^8 + 2*a^10 - 2*a^14 + 2*a^4*z^2 + 
   4*a^6*z^2 + 2*a^8*z^2 + 7*a^10*z^2 + 4*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + 5*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 51225] -> a^8 + 3*a^10 - 2*a^12 - a^14 + 
   4*a^6*z^2 + 3*a^8*z^2 + 10*a^10*z^2 + 4*a^12*z^2 - 6*a^14*z^2 + 
   10*a^6*z^4 - 3*a^8*z^4 + 8*a^10*z^4 + 16*a^12*z^4 - 5*a^14*z^4 + 
   6*a^6*z^6 - 10*a^8*z^6 - 4*a^10*z^6 + 11*a^12*z^6 - a^14*z^6 + a^6*z^8 - 
   6*a^8*z^8 - 5*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 51226] -> 2*a^8 + a^10 - a^12 - a^14 + a^4*z^2 + 
   4*a^6*z^2 + 4*a^8*z^2 + 6*a^10*z^2 + 2*a^12*z^2 - 3*a^14*z^2 + 3*a^4*z^4 + 
   3*a^6*z^4 - a^8*z^4 + 6*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 6*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 51227] -> 3*a^8 - a^10 - a^14 + 
   2*a^4*z^2 + 2*a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 + a^12*z^2 - 2*a^14*z^2 + 
   3*a^4*z^4 + a^6*z^4 + 6*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   2*a^6*z^6 - 5*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 51228] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   6*z^2 + (6*z^2)/a^4 - (11*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 10*z^4 + 
   (11*z^4)/a^4 - (21*z^4)/a^2 + 24*a^2*z^4 - 5*a^4*z^4 - 12*z^6 + 
   (6*z^6)/a^4 - (18*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51229] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + z^2 + z^2/a^6 + z^2/a^4 - 
   (7*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 2*z^4 + (3*z^4)/a^6 - z^4/a^4 - 
   (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 51230] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 - 3*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (3*z^6)/a^4 + (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 51231] -> 
  1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 7*z^2 - 11*a^2*z^2 - 5*a^4*z^2 + 
   20*a^6*z^2 - 7*a^8*z^2 + 11*z^4 - 22*a^2*z^4 - 11*a^4*z^4 + 24*a^6*z^4 - 
   5*a^8*z^4 + 6*z^6 - 18*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 
   7*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 51232] -> 1 - a^2 + 3*a^6 - 2*a^8 + z^2 + 
   (2*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + 
   (3*z^4)/a^2 - 12*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 8*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51233] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (3*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 3*z^6 + 
   z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51234] -> -6/a^6 + 11/a^4 - 4/a^2 + (5*z^2)/a^8 - 
   (30*z^2)/a^6 + (51*z^2)/a^4 - (19*z^2)/a^2 + (8*z^4)/a^8 - (50*z^4)/a^6 + 
   (86*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + (74*z^6)/a^4 - 
   (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 51235] -> -5/a^6 + 9/a^4 - 3/a^2 - 4*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (22*z^2)/a^4 - 7*z^4 + (3*z^4)/a^8 - 
   (18*z^4)/a^6 + (23*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (14*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51236] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 51237] -> 11 - 5/a^2 - 5*a^2 + 49*z^2 + (6*z^2)/a^4 - 
   (31*z^2)/a^2 - 19*a^2*z^2 + 84*z^4 + (9*z^4)/a^4 - (52*z^4)/a^2 - 
   28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 51238] -> 4 - a^(-4) - 2*a^2 + 5*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 2*a^4*z^2 - 2*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51239] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 7*z^2 - z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   5*a^2*z^2 - 7*z^4 - z^4/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 - (12*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - z^6/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 51240] -> 
  -3 + a^(-6) + 3*a^2 - 13*z^2 - (3*z^2)/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + 
   (6*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (11*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (9*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 51241] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 
   3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   5*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   6*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 51242] -> 
  -2 + a^(-6) + a^2 + a^4 - 5*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51243] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - z^2 + 2*a^2*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 5*a^2*z^4 - 4*a^4*z^4 + 13*a^6*z^4 - 11*a^8*z^4 + 
   a^10*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 51244] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + 2*a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4/a^2 + 2*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51245] -> 
  -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (2*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 51246] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 
   10*z^2 - (3*z^2)/a^8 + (10*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 9*z^4 - 
   (4*z^4)/a^8 + (3*z^4)/a^6 + (15*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 51247] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 7*z^2 - (2*z^2)/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - 2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + z^4/a^6 + 
   (7*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 51248] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - z^2 + 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   2*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - 
   2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 51249] -> 2*a^8 - a^10 + 3*a^12 - 3*a^14 + 3*a^4*z^2 + 
   10*a^8*z^2 - 3*a^10*z^2 + 10*a^12*z^2 - 4*a^14*z^2 + 4*a^4*z^4 - 
   3*a^6*z^4 + 6*a^8*z^4 - 4*a^10*z^4 + 9*a^12*z^4 - a^14*z^4 + a^4*z^6 - 
   4*a^6*z^6 - 2*a^8*z^6 - 4*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 51250] -> 2*a^8 + a^12 - 2*a^14 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 + 4*a^12*z^2 - 
   a^14*z^2 + a^2*z^4 - a^6*z^4 - a^8*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 51251] -> 
  3*a^8 - a^10 - a^14 + 3*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 + 3*a^10*z^2 + 
   a^12*z^2 - a^14*z^2 + a^2*z^4 + 2*a^4*z^4 - a^6*z^4 + 3*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 51252] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51253] -> -1 + a^(-2) + a^2 - 3*z^2 - (3*z^2)/a^6 + 
   (14*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - (4*z^4)/a^6 + 
   (26*z^4)/a^4 - (34*z^4)/a^2 + 8*a^2*z^4 - 8*z^6 - z^6/a^6 + (16*z^6)/a^4 - 
   (31*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 51254] -> 
  a^(-4) - a^(-2) + a^2 - z^2/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (11*z^2)/a^2 + 3*a^2*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - (17*z^4)/a^2 + 
   3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 51255] -> 
  -a^(-14) + a^(-12) - 2/a^10 + 2/a^8 + a^(-6) - (6*z^2)/a^14 + 
   (14*z^2)/a^12 - (10*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - (5*z^4)/a^14 + 
   (28*z^4)/a^12 - (25*z^4)/a^10 + (4*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (28*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51256] -> -a^(-14) + a^(-12) - a^(-10) + 2/a^6 - 
   (3*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 + (6*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51257] -> -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (3*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (11*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51258] -> -2 + a^(-4) + 2*a^2 - 13*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (8*z^4)/a^6 + 
   (15*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51259] -> 
  1 + a^2 - 2*a^4 + a^6 + 11*z^2 - (6*z^2)/a^2 + a^2*z^2 - 12*a^4*z^2 + 
   5*a^6*z^2 + 19*z^4 - (9*z^4)/a^2 + 6*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51260] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - (19*z^4)/a^4 + (12*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 51261] -> -3/a^10 + 3/a^8 + a^(-6) - (3*z^2)/a^14 + 
   (10*z^2)/a^12 - (14*z^2)/a^10 + (9*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + 
   (24*z^4)/a^12 - (29*z^4)/a^10 + (5*z^4)/a^8 + (11*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (29*z^6)/a^10 - (5*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51262] -> -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (5*z^2)/a^10 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (6*z^4)/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51263] -> 
  -a^(-10) - a^(-8) + 3/a^6 - z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (11*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51264] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + 
   (4*z^2)/a^4 - (6*z^2)/a^2 + 8*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 10*z^4 + 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51265] -> a^(-4) - a^(-2) + a^2 - z^2 + z^2/a^6 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 51266] -> 4 - 4*a^2 + a^8 + 10*z^2 - (3*z^2)/a^2 - 
   11*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 9*z^4 - (4*z^4)/a^2 - 
   6*a^2*z^4 - 7*a^6*z^4 + a^8*z^4 + 5*z^6 - z^6/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 51267] -> 2 + a^(-2) - 3*a^2 + a^8 + z^2 - z^2/a^4 + 
   z^2/a^2 - 5*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + 
   z^4/a^2 - a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 51268] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   z^2/a^12 + (2*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 + z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 + (14*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51269] -> -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - 
   (3*z^2)/a^10 - (2*z^2)/a^8 + (12*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + (14*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51270] -> -2/a^14 + a^(-12) + 2/a^8 - (2*z^2)/a^16 - 
   (7*z^2)/a^14 + (9*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - 
   (5*z^4)/a^14 + (22*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51271] -> 
  3 - a^(-2) - a^2 + 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 51272] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 13*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 51273] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 + z^2/a^12 + z^2/a^10 - 
   (7*z^2)/a^8 + (6*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51274] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - z^2 + z^2/a^12 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - z^4 - 
   (2*z^4)/a^10 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 51275] -> 
  -3 - a^(-6) + a^(-4) + 3/a^2 + a^4 - 12*z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 16*z^4 - z^4/a^6 + (8*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51276] -> -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 
   5*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + a^4*z^4 - 3*z^6 - 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 51277] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - z^2 + z^2/a^12 - (2*z^2)/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 51278] -> 
  2 + 2/a^8 - 2/a^6 - a^(-4) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 - (4*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + (2*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 51279] -> -a^(-14) + 2/a^12 - 3/a^10 + 2/a^8 + 
   a^(-4) - (3*z^2)/a^14 + (8*z^2)/a^12 - (7*z^2)/a^10 + (7*z^2)/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 + 
   (4*z^4)/a^8 - (4*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - (4*z^6)/a^10 - 
   (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51280] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 - z^2/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 2*a^2*z^4 + 
   2*a^4*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 51281] -> a^8 + 2*a^10 - 2*a^14 + 3*a^4*z^2 + 
   4*a^6*z^2 + 2*a^8*z^2 + 5*a^10*z^2 + 3*a^12*z^2 - a^14*z^2 + a^2*z^4 + 
   2*a^4*z^4 - a^6*z^4 - 2*a^8*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 51282] -> 
  a^6 + a^8 - a^14 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 + 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 
   2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, Knot[15, Alternating, 51283] -> 
  -1 + a^(-4) + a^4 - 5*z^2 - z^2/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^4 + (4*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 51284] -> 1 - a^4 + 2*a^6 - a^8 + z^2/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*a^6*z^2 - a^8*z^2 - 2*z^4 + z^4/a^4 - z^4/a^2 - 2*a^2*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 51285] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51286] -> 
  -7/a^6 + 13/a^4 - 5/a^2 + (4*z^2)/a^8 - (29*z^2)/a^6 + (53*z^2)/a^4 - 
   (20*z^2)/a^2 + (8*z^4)/a^8 - (49*z^4)/a^6 + (87*z^4)/a^4 - (29*z^4)/a^2 + 
   (5*z^6)/a^8 - (38*z^6)/a^6 + (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 51287] -> 
  -1 - 5/a^6 + 8/a^4 - a^(-2) - 5*z^2 + (3*z^2)/a^8 - (16*z^2)/a^6 + 
   (23*z^2)/a^4 + (2*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + 
   (24*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (14*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51288] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (11*z^4)/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51289] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 - z^2/a^16 - (15*z^2)/a^14 + 
   (11*z^2)/a^12 + (20*z^2)/a^10 - (7*z^4)/a^16 - (8*z^4)/a^14 + 
   (33*z^4)/a^12 + (33*z^4)/a^10 - (5*z^6)/a^16 + (5*z^6)/a^14 + 
   (34*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + (14*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 51290] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - 
   z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^4)/a^16 - (4*z^4)/a^14 + (15*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51291] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (4*z^2)/a^16 + (2*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^16 + 
   (4*z^4)/a^14 + (11*z^4)/a^12 + (15*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + 
   (4*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51292] -> 
  -a^(-14) - a^(-10) + 3/a^8 - (2*z^2)/a^16 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (4*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + z^4/a^14 + 
   (7*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51293] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 2*a^4*z^2 + 
   2*a^6*z^2 + 26*a^8*z^2 - 24*a^10*z^2 + 5*a^12*z^2 - 7*a^4*z^4 + 
   5*a^6*z^4 + 42*a^8*z^4 - 30*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 
   8*a^6*z^6 + 33*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 51294] -> 3*a^6 - 3*a^10 + a^12 - 3*a^4*z^2 + 
   12*a^6*z^2 + 4*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   16*a^6*z^4 + 7*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 51295] -> -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 
   10*z^2 - (4*z^2)/a^4 + (8*z^2)/a^2 + 10*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   14*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   11*z^6 - z^6/a^4 + (9*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 51296] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 2*z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 
   11*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 10*a^4*z^4 + 
   16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 
   12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 51297] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 9*z^2 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 14*z^4 - 
   (4*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 9*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51298] -> a^8 + 3*a^10 - 2*a^12 - a^14 + 8*a^6*z^2 - 
   5*a^8*z^2 + 16*a^10*z^2 - 4*a^14*z^2 + 12*a^6*z^4 - 13*a^8*z^4 + 
   15*a^10*z^4 + 10*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 13*a^8*z^6 + 
   9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 4*a^10*z^8 + 2*a^12*z^8 - 
   a^8*z^10 - a^10*z^10, Knot[15, Alternating, 51299] -> 
  3*a^8 - 2*a^10 + 2*a^12 - 2*a^14 + 4*a^4*z^2 - 2*a^6*z^2 + 11*a^8*z^2 - 
   3*a^10*z^2 + 7*a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - 
   3*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - a^8*z^6 - 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 51300] -> 13 - 6/a^2 - 6*a^2 + 51*z^2 + (5*z^2)/a^4 - 
   (30*z^2)/a^2 - 20*a^2*z^2 + 83*z^4 + (7*z^4)/a^4 - (47*z^4)/a^2 - 
   28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - (35*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 51301] -> 1 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 51302] -> -2 - 3/a^6 + 3/a^4 + 3/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 + (11*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (20*z^4)/a^6 + (22*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51303] -> 4 - a^(-4) - 2*a^2 + 14*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 51304] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 - 11*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   8*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 51305] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   8*a^2*z^4 - 8*a^4*z^4 + 14*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51306] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + z^2/a^16 - (15*z^2)/a^14 + 
   (8*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (13*z^4)/a^14 + (26*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51307] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (4*z^2)/a^2 + 5*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (23*z^4)/a^4 - 
   (21*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - z^6/a^6 + (15*z^6)/a^4 - (25*z^6)/a^2 + 
   5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 51308] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 2*z^2 - z^2/a^8 + z^2/a^6 + (7*z^2)/a^4 - 
   (8*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (14*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 51309] -> a^(-4) - 2*a^4 + 2*a^6 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 51310] -> 1 + a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51311] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (3*z^2)/a^10 + (13*z^2)/a^8 - 
   (15*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - 
   (28*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (25*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51312] -> -4/a^6 + 7/a^4 - 2/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (10*z^2)/a^6 + (14*z^2)/a^4 + (3*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (12*z^4)/a^6 + (13*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (9*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51313] -> -a^(-8) + 2/a^4 - 2*z^2 + (2*z^2)/a^10 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51314] -> 
  1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 + z^2/a^10 - (2*z^2)/a^8 + (7*z^2)/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51315] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - (4*z^2)/a^14 + (13*z^2)/a^12 - 
   (18*z^2)/a^10 + (9*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + (24*z^4)/a^12 - 
   (30*z^4)/a^10 + (8*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (27*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51316] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   (3*z^2)/a^16 - (25*z^2)/a^14 + (22*z^2)/a^12 + (14*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (21*z^4)/a^14 + (40*z^4)/a^12 + (24*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (27*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51317] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + z^2/a^4 + (19*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (8*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51318] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 
   12*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - 
   (3*z^4)/a^6 + (14*z^4)/a^4 - (5*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51319] -> 
  1 + 3*a^2 - 6*a^4 + 3*a^6 + 13*z^2 - (8*z^2)/a^2 + 6*a^2*z^2 - 22*a^4*z^2 + 
   8*a^6*z^2 + 24*z^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 26*a^4*z^4 + 5*a^6*z^4 + 
   19*z^6 - (6*z^6)/a^2 + 13*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51320] -> -3 + a^(-4) - a^(-2) + 7*a^2 - 3*a^4 - 
   7*z^2 + (6*z^2)/a^4 - (10*z^2)/a^2 + 18*a^2*z^2 - 6*a^4*z^2 - 10*z^4 + 
   (9*z^4)/a^4 - (18*z^4)/a^2 + 20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51321] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (3*z^2)/a^8 + (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51322] -> -a^(-8) + 2/a^4 + 2*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - 
   (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51323] -> 
  -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 7*z^2 - z^2/a^8 + z^2/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 + 2*a^4*z^2 - 7*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 51324] -> 
  2 + a^(-4) - a^(-2) - a^2 - 2*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 51325] -> 1 - a^2 + 2*a^4 - 2*a^8 + a^10 + 3*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51326] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + 
   a^(-4) - z^2/a^14 + (3*z^2)/a^12 - z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 - z^4/a^8 - z^4/a^6 + z^4/a^2 - 
   z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51327] -> 1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^2 - 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 2*z^6 + 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 51328] -> 
  a^6 + a^8 - a^10 + 2*a^12 - 2*a^14 + 2*a^2*z^2 + 4*a^6*z^2 + 4*a^8*z^2 - 
   a^10*z^2 + 5*a^12*z^2 - a^14*z^2 + a^2*z^4 - 2*a^4*z^4 - 2*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 51329] -> 2/a^6 - 5/a^4 + 4/a^2 - 2*z^2 + z^2/a^8 + 
   (2*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (8*z^4)/a^6 - z^4/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (9*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 51330] -> 
  1 - a^2 + 2*a^4 - a^6 + 9*z^2 - (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 
   a^6*z^2 + 15*z^4 - (5*z^4)/a^2 - 9*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 - a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 51331] -> 
  1 + 2*z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + a^6*z^2 + 3*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51332] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - 
   (4*z^2)/a^10 - (5*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (14*z^4)/a^10 + (9*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (17*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51333] -> -3/a^10 + a^(-8) + 5/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (16*z^2)/a^10 + (16*z^2)/a^8 + (18*z^2)/a^6 - (9*z^2)/a^4 + 
   (3*z^4)/a^12 - (25*z^4)/a^10 + (36*z^4)/a^8 + (22*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (32*z^6)/a^8 + (15*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 51334] -> 
  -2/a^10 - a^(-8) + 6/a^6 - 2/a^4 + z^2/a^12 - (7*z^2)/a^10 + (3*z^2)/a^8 + 
   (17*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (7*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + 
   (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51335] -> -2/a^8 + 3/a^6 - a^(-4) + 
   a^(-2) - z^2/a^10 + z^2/a^8 + (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   (2*z^4)/a^10 + (10*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 51336] -> -a^(-14) + a^(-10) - a^(-8) + 
   2/a^6 - (4*z^2)/a^14 + (9*z^2)/a^12 - (3*z^2)/a^10 + (9*z^2)/a^6 - 
   (4*z^4)/a^14 + (22*z^4)/a^12 - (18*z^4)/a^10 - (2*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (24*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 51337] -> 
  -a^(-14) + 2/a^10 - 3/a^8 + 3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (2*z^4)/a^10 - (10*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51338] -> 
  a^(-4) - a^(-2) + a^2 - 9*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 16*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51339] -> -2 + a^(-4) + 2*a^2 - 7*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 + a^4*z^2 - 5*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51340] -> 
  -4 + 3/a^4 - 2/a^2 + 4*a^2 - 18*z^2 + (2*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 
   22*z^4 - (4*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51341] -> -a^(-12) + 2/a^6 - (4*z^2)/a^14 + 
   (8*z^2)/a^12 - (4*z^2)/a^10 + (9*z^2)/a^6 - (4*z^4)/a^14 + (22*z^4)/a^12 - 
   (18*z^4)/a^10 - (2*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (24*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51342] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 + 
   (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51343] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + (8*z^4)/a^4 - 
   (15*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51344] -> 
  3/a^4 - 3/a^2 - a^2 + 2*a^4 + z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - 
   (10*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (6*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 51345] -> -2 + a^(-4) + 2*a^2 - 9*z^2 + (2*z^2)/a^2 + 
   5*a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^4 + z^4/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   6*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 51346] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - z^2/a^2 + 
   2*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51347] -> 1 - 2*z^2 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (5*z^4)/a^6 + (13*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51348] -> 2 + a^(-4) - 2/a^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 3*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 51349] -> -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (11*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51350] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51351] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51352] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (4*z^2)/a^6 + (14*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (2*z^4)/a^6 + (19*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 51353] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + 
   (8*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + 
   (4*z^6)/a^2, Knot[15, Alternating, 51354] -> 
  -a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^10 + (16*z^2)/a^8 - (16*z^2)/a^6 + 
   z^2/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - (36*z^4)/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - (32*z^6)/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 51355] -> 
  -a^(-4) + 2/a^2 + z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51356] -> -a^(-10) + a^(-8) + a^(-2) - (4*z^2)/a^10 + 
   (13*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (24*z^4)/a^8 - (24*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (26*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51357] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (7*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (4*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51358] -> 
  -a^(-14) + a^(-12) - a^(-10) + 2/a^6 - (6*z^2)/a^14 + (17*z^2)/a^12 - 
   (14*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (30*z^4)/a^12 - 
   (31*z^4)/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (30*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51359] -> -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (8*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - (12*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51360] -> 1 + 8*z^2 - (4*z^2)/a^2 - 8*a^4*z^2 + 
   4*a^6*z^2 + 16*z^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 8*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51361] -> 1 + a^2 - 2*a^4 + a^6 + 5*z^2 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51362] -> -3/a^14 + 2/a^12 + a^(-10) + a^(-8) - 
   z^2/a^16 - (12*z^2)/a^14 + (15*z^2)/a^12 + (10*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^4)/a^16 - (8*z^4)/a^14 + (28*z^4)/a^12 + (20*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (19*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51363] -> -2/a^14 + 2/a^10 + a^(-8) - z^2/a^16 - 
   (5*z^2)/a^14 + (3*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (9*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 51364] -> -1 + a^(-4) - a^(-2) + 3*a^2 - 
   a^4 - 2*z^2 + z^2/a^6 - (3*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 51365] -> 
  -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + 
   (12*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51366] -> 2 - a^2 - a^4 + a^6 + 3*z^2 - z^2/a^4 - 
   z^2/a^2 + 2*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51367] -> -a^(-14) + a^(-12) - a^(-10) + 
   a^(-8) + a^(-4) - (3*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (2*z^4)/a^10 - 
   (13*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 51368] -> -a^(-14) + a^(-12) - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^10 - (3*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51369] -> 
  -3/a^10 + 3/a^8 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (11*z^2)/a^10 + 
   (12*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (15*z^4)/a^8 + (10*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (9*z^6)/a^8 + (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51370] -> 
  -2/a^10 + a^(-8) + a^(-6) + 2/a^4 - a^(-2) - z^2 + z^2/a^12 - 
   (4*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 - z^4 - 
   (3*z^4)/a^10 + (2*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 51371] -> 
  -3 + a^(-4) + 4*a^2 - a^4 - 9*z^2 + z^2/a^6 - z^2/a^2 + 10*a^2*z^2 - 
   3*a^4*z^2 - 14*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51372] -> -2 + a^(-4) + 2*a^2 - 6*z^2 + z^2/a^6 - 
   z^2/a^4 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 + 3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 51373] -> -a^(-14) + a^(-12) - 2/a^10 + 3/a^8 - 
   a^(-6) + a^(-4) - (3*z^2)/a^14 + (9*z^2)/a^12 - (7*z^2)/a^10 + 
   (7*z^2)/a^8 + (4*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (10*z^4)/a^10 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51374] -> -a^(-14) + a^(-12) - a^(-10) + a^(-8) + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - z^4/a^10 - (5*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51375] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^12 + (7*z^2)/a^10 + z^2/a^8 - (13*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (5*z^4)/a^8 - (21*z^4)/a^6 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (14*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 51376] -> a^(-8) - 2/a^6 + 2/a^2 + z^2 - z^2/a^12 + 
   (3*z^2)/a^10 + (3*z^2)/a^8 - (7*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 + 
   z^4 + (3*z^4)/a^10 - (10*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 51377] -> 
  -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (7*z^2)/a^10 + (10*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51378] -> 
  -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51379] -> 
  -3/a^14 + 3/a^12 + a^(-6) - (2*z^2)/a^16 - (4*z^2)/a^14 + (9*z^2)/a^12 + 
   (5*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^16 + z^4/a^14 + 
   (10*z^4)/a^12 + (9*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51380] -> -2/a^14 + a^(-12) + a^(-10) + a^(-6) - 
   z^2/a^16 - (2*z^2)/a^14 + (3*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 51381] -> 
  3/a^4 - 3/a^2 + a^6 - 3*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - z^4/a^6 + (3*z^4)/a^4 + a^2*z^4 - 
   2*a^4*z^4 + z^6 + z^6/a^4 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 51382] -> 2 - a^(-2) + a^2 - a^4 + 3*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + (6*z^4)/a^4 - 
   (13*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51383] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + z^2/a^4 + 10*a^2*z^2 - 2*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^4 - z^4/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + 
   z^6/a^4 - (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51384] -> 2*a^2 - a^4 - z^2 + 7*a^2*z^2 - 10*a^4*z^2 + 
   8*a^6*z^2 - 5*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 
   13*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 10*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 51385] -> -2 + a^(-2) + 3*a^2 - a^4 - 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 2*a^6*z^2 - 4*z^4 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 6*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + z^6/a^4 - 
   (2*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51386] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51387] -> 
  -2 + a^(-2) + 4*a^2 - 3*a^4 + a^6 - 9*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 
   13*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51388] -> -3 - 2/a^4 + 5/a^2 + a^2 - 17*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + 
   (4*z^4)/a^6 - (13*z^4)/a^4 + (25*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (15*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 51389] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   z^2/a^6 + z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 
   8*z^4 + (3*z^4)/a^4 + 10*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 3*z^6 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 51390] -> -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^10 - 
   (11*z^2)/a^8 + (18*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (11*z^4)/a^8 + (19*z^4)/a^6 - (2*z^4)/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51391] -> 3*a^6 - a^8 - a^10 + a^4*z^2 + 10*a^6*z^2 - 
   6*a^8*z^2 + 2*a^10*z^2 - a^2*z^4 + 11*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 7*a^6*z^6 - 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 51392] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (8*z^4)/a^10 - (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51393] -> -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (11*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 51394] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   z^2/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (19*z^2)/a^6 - (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (3*z^4)/a^8 + (23*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51395] -> -a^(-4) + 2/a^2 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51396] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + 
   (7*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 51397] -> a^2 + 2*a^4 - 2*a^6 - a^8 + 
   a^10 - z^2 + 2*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 - 6*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 5*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 5*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51398] -> 
  2*a^2 - a^6 - a^8 + a^10 - z^2 + 3*a^2*z^2 - a^4*z^2 - 3*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 2*a^2*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51399] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 18*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 27*z^4 + (4*z^4)/a^6 - 
   (13*z^4)/a^4 + (25*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - (6*z^6)/a^4 + 
   (15*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 51400] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 7*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   7*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 11*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 
   2*z^6 - (3*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 51401] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 5*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51402] -> 
  -2/a^6 + 3/a^4 + z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51403] -> 2 - a^(-4) + a^(-2) - a^2 - 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 
   7*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 
   5*z^6 + (3*z^6)/a^4 + (2*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 51404] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (18*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 51405] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + 
   (2*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51406] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   z^2/a^12 + (2*z^2)/a^10 - (14*z^2)/a^8 + (20*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - (9*z^4)/a^8 + (23*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + z^6/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51407] -> -2 + 2/a^2 + a^4 - 4*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 51408] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   z^2/a^12 + z^2/a^10 - (13*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 - (4*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51409] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - z^2 + z^2/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^4 - (3*z^4)/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^8 + (3*z^6)/a^6 + 
   (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 51410] -> 
  -2/a^6 + 3/a^4 + 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + (4*z^2)/a^4 - z^2/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51411] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   2*z^4 + (3*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 51412] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2 + z^2/a^12 - z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - z^4 - (2*z^4)/a^10 - (2*z^4)/a^8 + 
   (4*z^4)/a^6 + (5*z^4)/a^4 + z^6/a^8 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 51413] -> 2/a^8 - 2/a^6 - a^(-4) + a^(-2) + a^2 - 
   z^2 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - z^4/a^10 + z^4/a^8 + z^4/a^6 - z^4/a^4 - (2*z^4)/a^2 + 
   z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 51414] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^6 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 51415] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 + z^2 - z^2/a^8 + z^2/a^6 - z^2/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51416] -> 1 - a^2 + a^4 + a^6 - a^8 - 3*z^2 + 
   z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + 4*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   z^4/a^4 - 4*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 
   3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 51417] -> 
  -a^(-8) + 2/a^4 + z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51418] -> 1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 5*z^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^2, 
 Knot[15, Alternating, 51419] -> -a^(-14) + a^(-12) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^14 + (4*z^2)/a^12 - z^2/a^10 + z^2/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - (2*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51420] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - 2*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (6*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51421] -> 
  2 - a^2 - a^4 + a^6 + 6*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 5*a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51422] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (4*z^2)/a^6 - (4*z^2)/a^4 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + (5*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51423] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^10 + 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51424] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 - 2*a^2*z^2 + 10*a^4*z^2 - 
   5*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 17*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 51425] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51426] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - 4*z^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 - 
   4*z^4 + z^4/a^10 - (9*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + 
   (9*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 51427] -> -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51428] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 14*z^2 - z^2/a^6 + (8*z^2)/a^2 + 9*a^2*z^2 - 
   a^4*z^2 - 19*z^4 - z^4/a^6 + (3*z^4)/a^4 + (9*z^4)/a^2 + 5*a^2*z^4 + 
   2*a^4*z^4 - 12*z^6 + (2*z^6)/a^4 + z^6/a^2 - a^2*z^6 + a^4*z^6 - 3*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 51429] -> 
  -2/a^14 + 2/a^10 + a^(-8) - z^2/a^16 - (11*z^2)/a^14 + (12*z^2)/a^12 + 
   (11*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^16 - (8*z^4)/a^14 + 
   (27*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (19*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51430] -> 
  -2/a^14 + a^(-12) + 2/a^8 - z^2/a^16 - (5*z^2)/a^14 + (4*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (9*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51431] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + (8*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51432] -> 
  2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 5*a^2*z^2 - 3*a^4*z^2 + 
   4*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 7*a^4*z^4 + 
   10*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 7*a^4*z^6 + 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 51433] -> 2/a^14 - 7/a^12 + 6/a^10 - 2/a^8 + 2/a^6 - 
   z^2/a^14 - (9*z^2)/a^12 + (19*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 - 
   (3*z^4)/a^14 + (5*z^4)/a^12 + (16*z^4)/a^10 - (14*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - (13*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^8)/a^12 - (4*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 51434] -> a^(-14) - 3/a^12 + a^(-10) + 
   2/a^6 - z^2/a^14 - (3*z^2)/a^12 + (5*z^2)/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (3*z^4)/a^12 + (6*z^4)/a^10 - 
   z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - (5*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51435] -> -3/a^10 + 4/a^8 - a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (3*z^2)/a^12 - (5*z^2)/a^10 + (12*z^2)/a^8 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - (3*z^4)/a^10 + (8*z^4)/a^8 - 
   (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - (3*z^6)/a^10 - z^6/a^8 - 
   (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51436] -> -2/a^10 + 2/a^8 + a^(-4) - z^2/a^14 + 
   z^2/a^12 - z^2/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 
   (2*z^4)/a^12 + z^4/a^10 + z^4/a^8 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51437] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (6*z^2)/a^6 + (12*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 - (3*z^4)/a^6 + (14*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + (2*z^6)/a^6 + (9*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 51438] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - z^2/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 51439] -> 
  2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 - a^(-2) + 5*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51440] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 - (3*z^4)/a^14 + (8*z^4)/a^12 + 
   (7*z^4)/a^10 - (17*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - 
   (2*z^6)/a^10 - (14*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51441] -> -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - 
   a^(-6) + 2/a^4 - (2*z^2)/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 + 
   (7*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (5*z^4)/a^10 + (5*z^4)/a^8 - (6*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   (3*z^6)/a^10 - z^6/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - 
   z^8/a^6, Knot[15, Alternating, 51442] -> -1 + a^(-4) - a^(-2) + a^2 + 
   3*a^4 - 2*a^6 - 8*z^2 + (4*z^2)/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (4*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 + 
   7*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 51443] -> 
  -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 3*z^2 + z^2/a^6 + z^2/a^4 - 
   (4*z^2)/a^2 + 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 4*z^4 + z^4/a^6 - 
   (5*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6, Knot[15, Alternating, 51444] -> 3/a^16 - 10/a^14 + 6/a^12 + 
   2/a^10 + z^2/a^16 - (25*z^2)/a^14 + (25*z^2)/a^12 + (15*z^2)/a^10 - 
   (6*z^4)/a^16 - (16*z^4)/a^14 + (47*z^4)/a^12 + (29*z^4)/a^10 - 
   (5*z^6)/a^16 + (3*z^6)/a^14 + (40*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + 
   (5*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 51445] -> 2/a^16 - 6/a^14 + a^(-12) + 
   4/a^10 - z^2/a^16 - (11*z^2)/a^14 + (7*z^2)/a^12 + (16*z^2)/a^10 + 
   (4*z^2)/a^8 - (3*z^4)/a^16 - (4*z^4)/a^14 + (17*z^4)/a^12 + 
   (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 51446] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 - (9*z^2)/a^14 + (19*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (6*z^4)/a^14 + (13*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51447] -> 
  -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - (3*z^2)/a^16 - (3*z^2)/a^14 + 
   (3*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - (4*z^4)/a^16 + (2*z^4)/a^14 + 
   (13*z^4)/a^12 + (18*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + 
   (10*z^6)/a^12 + (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51448] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - (2*z^2)/a^16 - (2*z^2)/a^14 + 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + 
   z^4/a^14 + (7*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51449] -> -a^(-14) - a^(-10) + 3/a^8 - z^2/a^16 - 
   (3*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 + (6*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51450] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 3*z^2 + 
   12*a^2*z^2 - 17*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   18*a^2*z^4 - 20*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   13*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 51451] -> 8*a^8 - 10*a^10 + 3*a^12 - 
   a^4*z^2 - 2*a^6*z^2 + 34*a^8*z^2 - 31*a^10*z^2 + 7*a^12*z^2 - 6*a^4*z^4 + 
   50*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 6*a^6*z^6 + 
   37*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 14*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 51452] -> 
  2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 2*a^4*z^2 + 9*a^6*z^2 + 9*a^8*z^2 - 
   13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 14*a^6*z^4 + 
   10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 
   7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 51453] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 3*a^4*z^2 + 
   14*a^6*z^2 - a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   17*a^6*z^4 + 3*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 51454] -> 3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 
   3*z^2 + 9*a^2*z^2 - 10*a^4*z^2 + 10*a^6*z^2 - 9*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 12*a^2*z^4 - 14*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 10*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51455] -> 
  1 + a^6 - 2*a^8 + a^10 + z^2 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51456] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 51457] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - 3*z^2 + 2*a^2*z^2 + 11*a^4*z^2 - 7*a^6*z^2 - 
   5*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 4*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - 
   7*a^8*z^4 + a^10*z^4 - z^6 + 4*a^2*z^6 + 9*a^4*z^6 + 2*a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51458] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - z^2 - z^2/a^2 + 4*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 - 2*a^8*z^2 + a^10*z^2 - z^4/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 51459] -> a^8 + 5*a^10 - 6*a^12 + a^14 + 6*a^6*z^2 - 
   3*a^8*z^2 + 19*a^10*z^2 - 6*a^12*z^2 - 3*a^14*z^2 + 11*a^6*z^4 - 
   10*a^8*z^4 + 18*a^10*z^4 + 8*a^12*z^4 - 4*a^14*z^4 + 6*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 + 9*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 
   4*a^10*z^8 + 2*a^12*z^8 - a^8*z^10 - a^10*z^10, 
 Knot[15, Alternating, 51460] -> 3*a^8 - 2*a^12 + 2*a^4*z^2 + 2*a^6*z^2 + 
   5*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + a^6*z^4 + 
   7*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 2*a^6*z^6 - 5*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 51461] -> 4*a^8 - 3*a^10 + a^12 - a^14 + 3*a^4*z^2 - 
   2*a^6*z^2 + 13*a^8*z^2 - 4*a^10*z^2 + 5*a^12*z^2 - 3*a^14*z^2 + 
   4*a^4*z^4 - 4*a^6*z^4 + 9*a^8*z^4 - 2*a^10*z^4 + 7*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 4*a^6*z^6 - a^8*z^6 - 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   a^8*z^8 - a^10*z^8, Knot[15, Alternating, 51462] -> 
  a^6 + 2*a^8 - 2*a^10 + a^12 - a^14 + a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 
   5*a^8*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 + a^8*z^4 + a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 51463] -> -3/a^12 + 6/a^10 - 6/a^8 + 4/a^6 - 
   (2*z^2)/a^14 - (3*z^2)/a^12 + (17*z^2)/a^10 - (15*z^2)/a^8 + 
   (12*z^2)/a^6 - (3*z^4)/a^14 + (7*z^4)/a^12 + (13*z^4)/a^10 - 
   (18*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - z^6/a^10 - 
   (14*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 51464] -> 
  -a^(-14) + a^(-12) - a^(-10) + 2/a^8 - 2/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (4*z^4)/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - (3*z^6)/a^10 - z^6/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, Knot[15, Alternating, 51465] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^4 + 
   (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 51466] -> 1 + a^(-8) - a^(-6) - a^(-4) + a^(-2) + 
   2*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (8*z^4)/a^6 - (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51467] -> -3 - a^(-4) + 4/a^2 + a^4 - 10*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 - z^4/a^6 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 51468] -> 15 - 7/a^2 - 7*a^2 + 61*z^2 + (6*z^2)/a^4 - 
   (36*z^2)/a^2 - 24*a^2*z^2 + 97*z^4 + (9*z^4)/a^4 - (56*z^4)/a^2 - 
   32*a^2*z^4 + 79*z^6 + (5*z^6)/a^4 - (40*z^6)/a^2 - 21*a^2*z^6 + 36*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 51469] -> 7 - 2/a^4 - 4*a^2 + 21*z^2 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 11*a^2*z^2 + 26*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (11*z^4)/a^2 - 11*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 51470] -> 
  5 - a^(-4) - a^(-2) - a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 - z^4 + z^4/a^6 - (9*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51471] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 4*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 51472] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   z^2/a^16 - (19*z^2)/a^14 + (16*z^2)/a^12 + (16*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (14*z^4)/a^14 + (31*z^4)/a^12 + (27*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51473] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - 
   (9*z^2)/a^14 + (3*z^2)/a^12 + (16*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (4*z^4)/a^14 + (11*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 51474] -> 1 + a^2 - 2*a^4 + 2*a^6 - 2*a^8 + 
   a^10 + z^2 - z^2/a^2 + a^2*z^2 - 4*a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 - 4*a^4*z^4 + 8*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 51475] -> 9 - 4/a^2 - 4*a^2 + 43*z^2 + (5*z^2)/a^4 - 
   (27*z^2)/a^2 - 17*a^2*z^2 + 78*z^4 + (7*z^4)/a^4 - (46*z^4)/a^2 - 
   27*a^2*z^4 + 71*z^6 + (4*z^6)/a^4 - (35*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 51476] -> -a^(-6) + 2/a^4 - a^2 + a^4 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 + (3*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 
   a^4*z^4 + z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 51477] -> a^(-6) - a^(-2) + a^4 - 4*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51478] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - z^2/a^14 + (7*z^2)/a^10 - 
   (10*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (2*z^4)/a^12 + 
   (10*z^4)/a^10 - (14*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (2*z^6)/a^12 + 
   (2*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51479] -> 2/a^4 - 2/a^2 + a^4 - z^2 - (2*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51480] -> 
  2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - z^2 + 6*a^4*z^2 + 2*a^6*z^2 - 7*a^8*z^2 + 
   2*a^10*z^2 - 2*z^4 + a^2*z^4 + 8*a^4*z^4 - 5*a^8*z^4 + a^10*z^4 - z^6 + 
   2*a^2*z^6 + 6*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 51481] -> a^8 + 3*a^10 - 2*a^12 - a^14 + 
   a^4*z^2 + 7*a^6*z^2 - 4*a^8*z^2 + 15*a^10*z^2 - 2*a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 7*a^6*z^4 - 11*a^8*z^4 + 14*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 10*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 51482] -> 2*a^8 + 2*a^10 - 3*a^12 + 
   a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 + 14*a^10*z^2 - 5*a^12*z^2 - a^14*z^2 + 
   2*a^4*z^4 + 6*a^6*z^4 - 9*a^8*z^4 + 15*a^10*z^4 + a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 9*a^8*z^6 + 3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 51483] -> 2*a^8 + a^10 - a^12 - a^14 + 
   a^4*z^2 + 6*a^6*z^2 - a^8*z^2 + 11*a^10*z^2 - a^12*z^2 - 2*a^14*z^2 + 
   2*a^4*z^4 + 6*a^6*z^4 - 8*a^8*z^4 + 12*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - 9*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - 
   a^10*z^8, Knot[15, Alternating, 51484] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 - z^2/a^16 - (6*z^2)/a^14 + z^2/a^12 + (14*z^2)/a^10 + 
   (4*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (9*z^4)/a^12 + 
   (15*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51485] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - z^2/a^14 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (6*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51486] -> 
  -a^(-14) - a^(-10) + 3/a^8 - z^2/a^16 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (4*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^4/a^14 + 
   (4*z^4)/a^12 + (6*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 51487] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 + (5*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51488] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 - 6*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 + 2*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 51489] -> 
  2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 - a^2*z^2 + 4*a^4*z^2 + a^6*z^2 + 
   4*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 4*a^4*z^4 + 
   3*a^6*z^4 + 3*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 3*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 51490] -> a^(-4) - a^(-2) + 2*a^2 - 
   2*a^4 + a^6 - 2*z^2 - z^2/a^6 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   5*a^4*z^2 + a^6*z^2 - z^4 - z^4/a^6 + (3*z^4)/a^4 + 6*a^2*z^4 - 
   3*a^4*z^4 - z^6 + (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 51491] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 3*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51492] -> -1 + a^(-2) + a^2 - z^2 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51493] -> 
  -3/a^12 + 5/a^10 - 4/a^8 + 3/a^6 - (2*z^2)/a^14 + (11*z^2)/a^10 - 
   (10*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 + 
   (7*z^4)/a^10 - (15*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51494] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - 
   (17*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51495] -> -a^(-4) + 2/a^2 - 4*z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (11*z^2)/a^2 - 6*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 - 3*z^6 + 
   (6*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51496] -> 
  -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (15*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51497] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   (7*z^2)/a^14 + (2*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (4*z^4)/a^14 + (10*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 51498] -> -3/a^12 + 6/a^10 - 6/a^8 + 
   4/a^6 - (2*z^2)/a^14 - z^2/a^12 + (13*z^2)/a^10 - (11*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (7*z^4)/a^10 - 
   (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51499] -> -a^(-14) + a^(-12) - a^(-10) + 2/a^8 - 
   2/a^6 + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 - z^2/a^10 + (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51500] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 + 
   3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51501] -> -a^(-14) + a^(-12) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (3*z^4)/a^10 - 
   (16*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51502] -> 1 + 2/a^8 - 2/a^6 - 2/a^4 + 2/a^2 + 2*z^2 - 
   z^2/a^10 + z^2/a^8 + (5*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (11*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51503] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (19*z^4)/a^4 + (16*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51504] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (11*z^6)/a^6 - (10*z^6)/a^4 + (2*z^6)/a^2 + (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, Knot[15, Alternating, 51505] -> 
  2*a^2 - a^4 + (3*z^2)/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (6*z^4)/a^4 - (14*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51506] -> 
  -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 9*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 - 
   (4*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 51507] -> 1 + a^(-6) - 4/a^4 + 4/a^2 - 
   a^2 + 2*z^2 + z^2/a^8 - (9*z^2)/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 51508] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (16*z^2)/a^4 + 
   (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (16*z^4)/a^6 - 
   (22*z^4)/a^4 + (14*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (14*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 51509] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 - 
   z^2 + 9*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 6*a^8*z^2 + 2*a^10*z^2 - 
   2*z^4 + 11*a^2*z^4 - 24*a^4*z^4 + 17*a^6*z^4 - 8*a^8*z^4 + a^10*z^4 - 
   z^6 + 7*a^2*z^6 - 15*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51510] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 7*z^2 + z^2/a^2 + 17*a^2*z^2 - 
   16*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (2*z^4)/a^2 + 23*a^2*z^4 - 
   19*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 15*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51511] -> -2 + 2/a^2 + a^2 - a^4 + a^6 - 7*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 51512] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (3*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (3*z^4)/a^10 - (16*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51513] -> 
  -a^(-12) + a^(-10) - a^(-8) + a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + 
   (3*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 - (8*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51514] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (10*z^4)/a^8 + (4*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51515] -> 1 + a^(-10) - 3/a^8 + 3/a^6 - a^(-4) + 
   2*z^2 - z^2/a^10 - z^2/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51516] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (9*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51517] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 5*z^4 + 
   (3*z^4)/a^4 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 - 2*z^6 - (3*z^6)/a^2 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 51518] -> 
  -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 51519] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   3*z^2 + z^2/a^10 - z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 
   a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + z^4/a^6 + (3*z^4)/a^4 - (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51520] -> 2*a^2 - a^6 - a^8 + a^10 - 2*z^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   8*a^2*z^4 - 9*a^4*z^4 + 11*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51521] -> 
  1 + a^4 - a^6 - a^8 + a^10 + 3*z^2 - z^2/a^2 - 4*a^2*z^2 + 3*a^4*z^2 - 
   a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 51522] -> -2/a^12 + 3/a^10 - 2/a^8 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + 
   z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51523] -> 
  6 - 3/a^2 - a^2 - a^4 + 9*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 + 
   2*a^2*z^2 - 3*a^4*z^2 + z^4/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 
   3*a^4*z^4 - 6*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 51524] -> 
  4 - a^(-4) - 2*a^2 + 5*z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 51525] -> 
  2 - a^2 - a^4 + a^6 + 5*z^2 - z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   2*a^6*z^2 + 2*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 7*a^4*z^4 + 
   a^6*z^4 - 3*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 51526] -> 
  2*a^2 + a^4 - 3*a^6 + a^10 - 2*z^2 + 4*a^2*z^2 - 7*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 10*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51527] -> 
  1 + a^2 - a^4 - a^8 + a^10 + z^2 - z^2/a^2 - a^6*z^2 - 3*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + 2*a^4*z^4 + 2*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51528] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^2 - 7*a^2*z^2 + 4*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51529] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + 
   z^4/a^6 - (8*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 51530] -> 
  -a^(-10) + a^(-8) + a^(-2) - (3*z^2)/a^10 + (9*z^2)/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - (15*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (19*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 51531] -> 
  1 + a^(-4) - a^(-2) - a^2 + a^4 - z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51532] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (3*z^2)/a^8 - (11*z^2)/a^6 + (7*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (20*z^4)/a^6 + (21*z^4)/a^4 + (14*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (23*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51533] -> -a^(-4) + 2/a^2 + 4*z^2 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - 3*a^2*z^2 + 11*z^4 + (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 51534] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 11*a^2*z^2 + 
   5*a^4*z^2 + z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 
   3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51535] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 6*z^2 + 
   (5*z^2)/a^4 - (13*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + (7*z^4)/a^4 - 
   (18*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51536] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + (13*z^2)/a^2 - 
   9*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + (5*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51537] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (14*z^2)/a^8 + z^2/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^10 + (21*z^4)/a^8 - (10*z^4)/a^6 - (29*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^10 + (11*z^6)/a^8 - (13*z^6)/a^6 - (20*z^6)/a^4 + (6*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51538] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (7*z^4)/a^10 - (11*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51539] -> 3/a^16 - 10/a^14 + 6/a^12 + 2/a^10 + 
   (3*z^2)/a^16 - (27*z^2)/a^14 + (25*z^2)/a^12 + (13*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (21*z^4)/a^14 + (41*z^4)/a^12 + (24*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (27*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51540] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   z^2/a^16 - (14*z^2)/a^14 + (9*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (15*z^4)/a^12 + (19*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51541] -> 
  2*a^2 - a^4 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 - 9*z^4 - z^4/a^4 + (6*z^4)/a^2 + 8*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 
   3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51542] -> 
  2/a^14 - 9/a^12 + 8/a^10 - (5*z^2)/a^14 - (10*z^2)/a^12 + (26*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (9*z^4)/a^12 + (33*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + (14*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51543] -> -a^(-14) + a^(-12) - 3/a^10 + 4/a^8 - 
   z^2/a^16 - (3*z^2)/a^14 + (3*z^2)/a^12 + z^2/a^10 + (11*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - z^4/a^14 + (7*z^4)/a^12 + (9*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51544] -> 
  -a^(-6) + a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - (5*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - (16*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (19*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 51545] -> 
  -a^(-6) + a^(-4) + a^(-2) - (3*z^2)/a^10 + (10*z^2)/a^8 - (8*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (19*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - (20*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 51546] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 10*z^2 - (6*z^2)/a^2 + 3*a^2*z^2 - 14*a^4*z^2 + 
   5*a^6*z^2 + 19*z^4 - (9*z^4)/a^2 + 7*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 + 
   15*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51547] -> 3 - 3*a^2 + a^6 + 8*z^2 - (3*z^2)/a^4 + 
   z^2/a^2 - 7*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 51548] -> -a^(-4) + 2/a^2 - 6*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 12*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 51549] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + z^6 - (3*z^6)/a^4 + 
   z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 51550] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 4*z^2 - z^2/a^6 + (5*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 - 5*z^4 + (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4 - 4*z^6 - z^6/a^2 - 4*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 51551] -> -2/a^6 + 3/a^4 + 2*z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (4*z^2)/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 - (3*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51552] -> 
  1 - a^2 + 3*a^4 - 2*a^6 - a^8 + a^10 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51553] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 2/a^4 + a^2 - z^2 - z^2/a^10 + (4*z^2)/a^8 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*z^4 + 
   (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 51554] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 - (2*z^4)/a^10 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - 
   z^6/a^6 - z^6/a^4, Knot[15, Alternating, 51555] -> 
  a^(-8) - 2/a^6 + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - z^2/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (7*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 - z^4/a^2 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51556] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (4*z^4)/a^12 + (9*z^4)/a^10 - (16*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51557] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 51558] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - z^2/a^16 - (5*z^2)/a^14 + 
   (3*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + 
   (7*z^4)/a^12 + (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51559] -> -a^(-14) + a^(-8) + a^(-6) - z^2/a^16 - 
   z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 51560] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + 
   a^10 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 51561] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - a^4*z^2 + 
   11*a^6*z^2 - 2*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + a^4*z^4 + 
   10*a^6*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 51562] -> -3/a^12 + 5/a^10 - 2/a^8 - a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (10*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (6*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51563] -> -a^(-14) + a^(-12) - a^(-10) + 2/a^8 - 
   a^(-6) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 + (3*z^2)/a^8 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 - z^4/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51564] -> 
  -a^(-4) + 2/a^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51565] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (8*z^2)/a^10 - (10*z^2)/a^8 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 + (2*z^4)/a^10 - (15*z^4)/a^8 + 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (12*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51566] -> -a^(-12) + a^(-10) - a^(-6) + 2/a^4 - 
   z^2/a^14 + z^2/a^12 + (4*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 51567] -> 9*a^8 - 12*a^10 + 4*a^12 - 
   2*a^4*z^2 - 2*a^6*z^2 + 38*a^8*z^2 - 36*a^10*z^2 + 8*a^12*z^2 - 
   7*a^4*z^4 + a^6*z^4 + 55*a^8*z^4 - 39*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   7*a^6*z^6 + 39*a^8*z^6 - 18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   14*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 51568] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - 4*a^4*z^2 + 
   13*a^6*z^2 + 6*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + 18*a^6*z^4 + 9*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 51569] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - 
   a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 + 4*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 + 7*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 13*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 51570] -> 
  a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 - 2*a^2*z^2 + 3*a^4*z^2 + 8*a^6*z^2 - 
   2*a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 
   9*a^6*z^4 - 3*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 2*a^8*z^6, 
 Knot[15, Alternating, 51571] -> 4*a^2 - 5*a^4 + 3*a^6 - 2*a^8 + a^10 - 
   4*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 
   4*z^4 + 15*a^2*z^4 - 18*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51572] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (17*z^2)/a^14 + 
   (11*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (13*z^4)/a^14 + (27*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51573] -> 
  -3 - a^(-6) + 4/a^2 + a^2 - 10*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (18*z^4)/a^4 - 
   (14*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^6 + (13*z^6)/a^4 - 
   (21*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 51574] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (5*z^2)/a^10 + (18*z^2)/a^8 - 
   (13*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (30*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51575] -> -1 + a^(-2) + a^2 + z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51576] -> 2 - a^2 - a^4 + 2*a^6 - 2*a^8 + a^10 + 
   4*z^2 - (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51577] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   (3*z^2)/a^14 + (10*z^2)/a^12 - (17*z^2)/a^10 + (13*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^4)/a^14 + (22*z^4)/a^12 - (28*z^4)/a^10 + 
   (11*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 51578] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (8*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (6*z^4)/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51579] -> 
  3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + (4*z^2)/a^16 - (28*z^2)/a^14 + 
   (23*z^2)/a^12 + (14*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (22*z^4)/a^14 + 
   (40*z^4)/a^12 + (24*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (27*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51580] -> 
  -4 - a^(-6) - 3/a^4 + 9/a^2 - 12*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   z^2/a^4 + (25*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (11*z^4)/a^4 + (30*z^4)/a^2 - 6*z^6 + z^6/a^8 - (11*z^6)/a^6 + 
   (13*z^6)/a^4 + (20*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (6*z^8)/a^4 + 
   (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51581] -> 
  -a^(-6) - a^(-4) + 4/a^2 - a^2 + z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   z^2/a^4 + (11*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (6*z^4)/a^6 + 
   (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 51582] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 
   10*z^2 + (7*z^2)/a^4 - (18*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 6*z^4 + 
   (9*z^4)/a^4 - (24*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51583] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 51584] -> 
  -4 + a^(-4) - a^(-2) + 9*a^2 - 4*a^4 - 9*z^2 + (8*z^2)/a^4 - (13*z^2)/a^2 + 
   24*a^2*z^2 - 8*a^4*z^2 - 13*z^4 + (12*z^4)/a^4 - (24*z^4)/a^2 + 
   26*a^2*z^4 - 5*a^4*z^4 - 13*z^6 + (6*z^6)/a^4 - (19*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 51585] -> a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + 
   2*z^2 + (2*z^2)/a^6 + z^2/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 
   z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 - (12*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   2*z^6 + z^6/a^6 - (3*z^6)/a^4 - (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 51586] -> 
  a^4 + 5*a^6 - 8*a^8 + 3*a^10 - 6*a^2*z^2 + 12*a^4*z^2 + 10*a^6*z^2 - 
   21*a^8*z^2 + 7*a^10*z^2 - 11*a^2*z^4 + 22*a^4*z^4 + 12*a^6*z^4 - 
   24*a^8*z^4 + 5*a^10*z^4 - 6*a^2*z^6 + 18*a^4*z^6 + 12*a^6*z^6 - 
   12*a^8*z^6 + a^10*z^6 - a^2*z^8 + 7*a^4*z^8 + 6*a^6*z^8 - 2*a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[15, Alternating, 51587] -> 
  3*a^4 - 4*a^8 + 2*a^10 - 2*z^2 + 10*a^4*z^2 - 2*a^6*z^2 - 8*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 2*a^2*z^4 + 12*a^4*z^4 - a^6*z^4 - 7*a^8*z^4 + 
   a^10*z^4 - z^6 + 3*a^2*z^6 + 8*a^4*z^6 + 2*a^6*z^6 - 2*a^8*z^6 + a^2*z^8 + 
   2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51588] -> 
  5*a^4 - 5*a^6 + a^10 - 4*z^2 + 4*a^2*z^2 + 10*a^4*z^2 - 9*a^6*z^2 - 
   3*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 6*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 - 
   5*a^8*z^4 + a^10*z^4 - z^6 + 4*a^2*z^6 + 8*a^4*z^6 + a^6*z^6 - 2*a^8*z^6 + 
   a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 51589] -> 
  5*a^8 - 5*a^10 + 2*a^12 - a^14 + 4*a^4*z^2 - 4*a^6*z^2 + 15*a^8*z^2 - 
   6*a^10*z^2 + 4*a^12*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 6*a^6*z^4 + 
   10*a^8*z^4 - 2*a^10*z^4 + 5*a^12*z^4 - a^14*z^4 + a^4*z^6 - 4*a^6*z^6 - 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 51590] -> 6*a^6 - 7*a^8 + 2*a^10 - z^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 19*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 8*a^2*z^4 - 
   11*a^4*z^4 + 23*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 
   10*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 51591] -> 2*a^4 + a^6 - 3*a^8 + a^10 - 
   z^2 + a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51592] -> 
  2 - 3*a^2 + 4*a^4 - 2*a^6 - a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 
   6*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 
   4*a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - 
   a^2*z^8 - a^4*z^8, Knot[15, Alternating, 51593] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + z^2/a^2 + 10*a^2*z^2 - 14*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 15*a^2*z^4 - 19*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 13*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51594] -> 1 - a^4 + 2*a^6 - a^8 + a^2*z^2 - 
   3*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 + a^2*z^4 - 
   4*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 51595] -> 2*a^2 - a^6 - a^8 + a^10 + z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 2*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 2*a^8*z^4 + z^6 + 2*a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 51596] -> 
  2*a^6 - a^10 + a^12 - a^14 + 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 + 3*a^8*z^2 - 
   a^10*z^2 + 3*a^12*z^2 - a^14*z^2 + a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   a^8*z^4 - a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - a^6*z^6 - a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 51597] -> a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (9*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (12*z^6)/a^6 + (17*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51598] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 - 
   (2*z^2)/a^10 - (7*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (13*z^4)/a^10 + (9*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (12*z^6)/a^10 + (17*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51599] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 + a^6*z^2 - 10*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 51600] -> -2/a^10 - 2/a^8 + 8/a^6 - 3/a^4 + z^2/a^12 - 
   (13*z^2)/a^10 + (11*z^2)/a^8 + (22*z^2)/a^6 - (10*z^2)/a^4 + 
   (3*z^4)/a^12 - (23*z^4)/a^10 + (33*z^4)/a^8 + (24*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (31*z^6)/a^8 + (15*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (13*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 51601] -> 
  -2/a^10 + 3/a^6 + a^(-4) - a^(-2) + z^2/a^12 - (8*z^2)/a^10 + (6*z^2)/a^8 + 
   (12*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (9*z^4)/a^8 + (17*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (6*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51602] -> 
  -a^(-14) - a^(-12) + 4/a^10 - 4/a^8 + 3/a^6 - (4*z^2)/a^14 + (7*z^2)/a^12 + 
   (3*z^2)/a^10 - (5*z^2)/a^8 + (10*z^2)/a^6 - (4*z^4)/a^14 + (21*z^4)/a^12 - 
   (14*z^4)/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (23*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51603] -> -a^(-14) + a^(-10) + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 + z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51604] -> 
  2/a^8 - 7/a^4 + 6/a^2 + z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - (20*z^2)/a^4 + 
   (11*z^2)/a^2 - (3*z^4)/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (7*z^6)/a^6 - (12*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 51605] -> 2 + 2/a^8 - a^(-6) - 3/a^4 + 
   a^(-2) + 3*z^2 + (2*z^2)/a^8 - z^2/a^6 - (8*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + z^4/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51606] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 2*z^2 + z^2/a^8 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   5*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (13*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (9*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51607] -> -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - 
   (3*z^2)/a^14 + (5*z^2)/a^12 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^4)/a^14 + (20*z^4)/a^12 - (15*z^4)/a^10 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (23*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 51608] -> 
  -a^(-12) + a^(-8) + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 - z^2/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51609] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + (6*z^2)/a^4 - (11*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 18*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 51610] -> 1 - a^2 + a^4 + a^6 - a^8 + 5*z^2 - 
   9*a^2*z^2 + 10*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 17*a^2*z^4 - 5*a^4*z^4 + 
   16*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 8*a^4*z^6 + 10*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 51611] -> 1 - a^4 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 2*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   8*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51612] -> 3 + 2/a^8 - 2/a^6 - 2/a^2 + 4*z^2 - 
   z^2/a^10 + (7*z^2)/a^8 - (10*z^2)/a^6 + z^2/a^4 - (7*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 - (8*z^4)/a^6 + z^4/a^4 - (8*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 51613] -> 
  1 + 2/a^8 - 2/a^6 - a^(-2) + a^2 - z^2 - z^2/a^10 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^10 + 
   z^4/a^8 - z^4/a^4 - (2*z^4)/a^2 + z^6/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 51614] -> a^(-16) - 2/a^14 - 4/a^12 + 
   6/a^10 + z^2/a^16 - (13*z^2)/a^14 + (2*z^2)/a^12 + (23*z^2)/a^10 + 
   z^2/a^8 - (2*z^4)/a^16 - (12*z^4)/a^14 + (20*z^4)/a^12 + (34*z^4)/a^10 + 
   (3*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (19*z^6)/a^12 + (22*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51615] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^14 + 
   (2*z^2)/a^12 - (2*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51616] -> 
  2/a^14 - 9/a^12 + 8/a^10 - (5*z^2)/a^14 - (10*z^2)/a^12 + (26*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (9*z^4)/a^12 + (33*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + (14*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51617] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   z^4/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 51618] -> 1 + 2/a^8 - a^(-6) - 4/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (16*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51619] -> 2/a^10 - 7/a^8 + 6/a^6 + z^2/a^12 - 
   z^2/a^10 - (11*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (7*z^4)/a^10 - z^4/a^8 + (20*z^4)/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (6*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^2 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51620] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + z^4/a^10 - (5*z^4)/a^8 + (2*z^4)/a^4 + z^4/a^2 - 
   z^6 - (3*z^6)/a^8 + (3*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 51621] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 5*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 10*a^2*z^6 - 6*a^4*z^6 + z^8 + 
   3*a^2*z^8, Knot[15, Alternating, 51622] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 
   5*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 - 
   9*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   7*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 51623] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   5*z^2 - z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   z^6/a^4 + (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 51624] -> -1 + a^(-2) + a^2 - 8*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 13*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 + 12*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51625] -> -2 - 5/a^6 + 7/a^4 + a^(-2) - 
   9*z^2 + (4*z^2)/a^8 - (22*z^2)/a^6 + (28*z^2)/a^4 + (7*z^2)/a^2 - 12*z^4 + 
   (4*z^4)/a^8 - (32*z^4)/a^6 + (46*z^4)/a^4 + (13*z^4)/a^2 - 6*z^6 + 
   z^6/a^8 - (17*z^6)/a^6 + (37*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51626] -> -1 - 2/a^8 + a^(-6) + 2/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + (13*z^2)/a^4 + (2*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + (19*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (6*z^6)/a^6 + (13*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 51627] -> 
  -3 - 3/a^6 + 2/a^4 + 5/a^2 - 5*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (6*z^2)/a^4 + (15*z^2)/a^2 - 2*a^2*z^2 - 2*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (8*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 51628] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   2*z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 - z^4 - (3*z^4)/a^8 - z^4/a^6 + (8*z^4)/a^4 + (6*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (5*z^6)/a^4 + (4*z^6)/a^2, 
 Knot[15, Alternating, 51629] -> 7 - 3/a^2 - 3*a^2 + 21*z^2 + (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (10*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - 
   (9*z^4)/a^4 - (6*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 51630] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51631] -> 
  3*a^2 - 2*a^4 - a^8 + a^10 - 3*z^2 + 9*a^2*z^2 - 9*a^4*z^2 + 6*a^6*z^2 - 
   8*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 12*a^2*z^4 - 14*a^4*z^4 + 15*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 10*a^4*z^6 + 13*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 51632] -> 1 + a^2 - a^4 - a^8 + a^10 + z^2 - z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   a^2*z^4 - a^4*z^4 + 4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 51633] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 
   4/a^2 - 4*z^2 + z^2/a^10 - (3*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + 
   (13*z^2)/a^2 - 6*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (18*z^4)/a^4 + 
   (19*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (12*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51634] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + 
   (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51635] -> a^(-16) - 4/a^14 + 4/a^10 + (2*z^2)/a^16 - 
   (18*z^2)/a^14 + (12*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - 
   (16*z^4)/a^14 + (28*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   (2*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51636] -> 
  -2/a^12 + a^(-10) + 2/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   z^2/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (3*z^4)/a^10 + (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51637] -> 
  -a^(-12) - a^(-10) + 3/a^8 - a^(-6) + a^(-4) - z^2/a^14 + z^2/a^12 + 
   z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (2*z^4)/a^8 - z^4/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 51638] -> 
  2 - a^2 - a^8 + a^10 + 4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 5*z^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51639] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 5*z^2 + 
   z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 14*a^2*z^4 - 11*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51640] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51641] -> 4*a^2 - 4*a^4 + a^6 - a^8 + a^10 - 4*z^2 + 
   12*a^2*z^2 - 15*a^4*z^2 + 11*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 
   15*a^2*z^4 - 19*a^4*z^4 + 19*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51642] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) - (8*z^2)/a^14 + 
   (4*z^2)/a^12 + (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (9*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51643] -> a^(-2) - a^8 + a^10 - 2*z^2 - z^2/a^4 + 
   z^2/a^2 - a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 + 2*a^2*z^4 + 
   a^4*z^4 + 3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 51644] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 - z^2 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (19*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51645] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   (3*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 + z^4/a^12 - 
   (2*z^4)/a^10 - (4*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^2 - (3*z^6)/a^10 + 
   z^6/a^8 + (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51646] -> -5 - 4/a^4 + 9/a^2 + a^2 - 15*z^2 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (20*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - 
   (6*z^4)/a^6 + (7*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51647] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (12*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (4*z^4)/a^6 - (16*z^4)/a^4 + (2*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51648] -> 
  a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - (11*z^2)/a^10 + 
   (2*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (14*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 51649] -> 2/a^16 - 6/a^14 + a^(-12) + 
   4/a^10 + (2*z^2)/a^16 - (16*z^2)/a^14 + (8*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (9*z^4)/a^14 + (16*z^4)/a^12 + (24*z^4)/a^10 + 
   (8*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (9*z^6)/a^12 + (11*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51650] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^6 - 
   (6*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^10 + (9*z^4)/a^8 + (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (3*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (6*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 51651] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - z^2/a^14 - z^2/a^12 + (2*z^2)/a^10 + 
   z^2/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 + z^4/a^10 - 
   (3*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51652] -> 1 + a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 - 9*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 9*z^6 + (3*z^6)/a^2 + 
   8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 51653] -> -3 - 3/a^6 + 2/a^4 + 5/a^2 - 
   9*z^2 + (4*z^2)/a^8 - (17*z^2)/a^6 + (16*z^2)/a^4 + (13*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (26*z^4)/a^6 + (31*z^4)/a^4 + (15*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (11*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51654] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   3*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - z^2/a^6 + (11*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (2*z^4)/a^6 + 
   (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 51655] -> a^(-14) - 4/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (4*z^4)/a^12 + (8*z^4)/a^10 - (13*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - (12*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51656] -> -a^(-6) + a^(-4) + a^(-2) - (4*z^2)/a^10 + 
   (15*z^2)/a^8 - (15*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (26*z^4)/a^8 - (33*z^4)/a^6 - z^4/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (15*z^6)/a^8 - (29*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51657] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (26*z^2)/a^14 + (21*z^2)/a^12 + (15*z^2)/a^10 + 
   (2*z^2)/a^8 - (23*z^4)/a^14 + (38*z^4)/a^12 + (25*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (26*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51658] -> -1 - 4/a^6 + 6/a^4 - 6*z^2 + (2*z^2)/a^8 - 
   (11*z^2)/a^6 + (14*z^2)/a^4 + (7*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - 
   (13*z^4)/a^6 + (15*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (10*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51659] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 10*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 16*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 51660] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 5/a^8 + 4/a^6 - z^2/a^14 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 - (10*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (6*z^4)/a^10 - (12*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51661] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 - 7*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   5*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 + 
   12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 51662] -> 2*a^2 - 2*a^4 + 4*a^6 - 5*a^8 + 2*a^10 - 
   2*z^2 + 4*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 7*a^2*z^4 - 6*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51663] -> 
  1 - a^2 + 3*a^4 - 2*a^6 - a^8 + a^10 + z^2 - z^2/a^2 - 2*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 4*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51664] -> -a^(-10) - 3/a^8 + 7/a^6 - 2/a^4 + 
   z^2/a^12 - (5*z^2)/a^10 - (3*z^2)/a^8 + (22*z^2)/a^6 - (5*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + (4*z^4)/a^8 + (24*z^4)/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51665] -> -a^(-14) + 3/a^10 - 5/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 + (3*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - (13*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51666] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - (9*z^2)/a^8 + (11*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - (13*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51667] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (7*z^2)/a^14 + (4*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (4*z^4)/a^14 + (11*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 51668] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 
   5/a^2 - 5*z^2 + z^2/a^8 + z^2/a^6 - (9*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51669] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   z^2/a^14 - (3*z^2)/a^12 + (10*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (4*z^4)/a^12 + (9*z^4)/a^10 - (16*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - z^6/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51670] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 51671] -> 
  3*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 11*a^2*z^2 - 12*a^4*z^2 + 
   8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 15*a^2*z^4 - 15*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 10*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51672] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (15*z^2)/a^8 - (9*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (25*z^4)/a^8 - (27*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (27*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 51673] -> 1 - a^(-10) + a^(-8) + a^(-6) - 
   a^(-4) + 3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (16*z^4)/a^4 - 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51674] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - (7*z^2)/a^14 + (4*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + 
   (11*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51675] -> -a^(-12) - a^(-10) + 3/a^8 - a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (3*z^2)/a^12 - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (4*z^4)/a^10 + 
   (5*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 51676] -> 1 + a^4 - a^6 - a^8 + a^10 + 
   z^2 - z^2/a^2 - a^4*z^2 + 3*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 2*z^4 - 
   z^4/a^2 + 2*a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 51677] -> -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - 
   (2*z^2)/a^12 + (5*z^2)/a^10 + (6*z^2)/a^8 - (17*z^2)/a^6 + (6*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^12 + (9*z^4)/a^10 - (2*z^4)/a^8 - (21*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - (13*z^6)/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 51678] -> a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - 
   z^2/a^14 + (2*z^2)/a^12 - (6*z^2)/a^10 + (8*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 - (2*z^4)/a^10 + z^4/a^8 + (4*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51679] -> 
  2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + a^(-8) + z^2/a^16 - (13*z^2)/a^14 + 
   (10*z^2)/a^12 + (10*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (5*z^4)/a^14 + (13*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51680] -> 4*a^2 - 7*a^4 + 8*a^6 - 6*a^8 + 2*a^10 - 
   4*z^2 + 12*a^2*z^2 - 17*a^4*z^2 + 18*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   4*z^4 + 15*a^2*z^4 - 19*a^4*z^4 + 21*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - 
   z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51681] -> 
  a^8 + 7*a^10 - 11*a^12 + 5*a^14 - a^16 + 8*a^6*z^2 - 9*a^8*z^2 + 
   29*a^10*z^2 - 18*a^12*z^2 + 2*a^14*z^2 + 12*a^6*z^4 - 17*a^8*z^4 + 
   28*a^10*z^4 - a^12*z^4 - 3*a^14*z^4 + 6*a^6*z^6 - 14*a^8*z^6 + 
   6*a^10*z^6 + 7*a^12*z^6 - a^14*z^6 + a^6*z^8 - 6*a^8*z^8 - 3*a^10*z^8 + 
   2*a^12*z^8 - a^8*z^10 - a^10*z^10, Knot[15, Alternating, 51682] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + 
   (12*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (15*z^4)/a^10 + (13*z^4)/a^8 + 
   (11*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + (18*z^6)/a^8 + 
   (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 51683] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (7*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + 
   (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51684] -> 2 - 2*a^2 + 2*a^4 - a^6 - a^8 + a^10 + 
   4*z^2 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 5*a^8*z^2 + 
   a^10*z^2 + 5*z^4 - z^4/a^2 - 3*a^2*z^4 + a^4*z^4 + 6*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 - 2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 51685] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - (9*z^2)/a^14 + (5*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + (12*z^4)/a^12 + (16*z^4)/a^10 + 
   (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51686] -> 
  a^(-14) - 4/a^12 + 3/a^10 - a^(-8) + 2/a^6 - z^2/a^14 - (3*z^2)/a^12 + 
   (7*z^2)/a^10 - z^2/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (4*z^4)/a^12 + 
   (5*z^4)/a^10 - (4*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 51687] -> 1 - a^(-10) + a^(-8) + 2/a^6 - 
   3/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - 
   (13*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - 
   (19*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (12*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51688] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (3*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 51689] -> a^(-2) - a^2 + 2*a^4 - a^6 - a^8 + a^10 - 
   z^2 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 3*a^4*z^2 - 3*a^8*z^2 + z^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 51690] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + 
   z^2/a^16 - (13*z^2)/a^14 + (8*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (14*z^4)/a^12 + (18*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51691] -> 
  a^(-14) - 3/a^12 + 2/a^8 + a^(-6) - z^2/a^14 - (2*z^2)/a^12 + 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (4*z^4)/a^12 + (3*z^4)/a^10 + (4*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (6*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 51692] -> -1 + a^(-2) + a^2 + a^4 - a^6 - 
   a^8 + a^10 - 2*z^2 - z^2/a^4 + z^2/a^2 + a^2*z^2 + a^6*z^2 - 3*a^8*z^2 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 51693] -> 1 + a^4 - a^6 - a^8 + a^10 + z^2 - z^2/a^4 + 
   a^4*z^2 - a^6*z^2 - 2*a^8*z^2 + 2*z^4 + z^4/a^2 + 2*a^2*z^4 + 2*a^4*z^4 + 
   a^6*z^4, Knot[15, Alternating, 51694] -> a^4 + a^8 - a^10 + a^12 - a^14 + 
   z^2 + 2*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 2*a^12*z^2 - a^2*z^4 - a^4*z^4 - 
   a^6*z^4 - a^8*z^4 - a^10*z^4, Knot[15, Alternating, 51695] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + 
   (9*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51696] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 4*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 7*z^4 - z^4/a^6 - (5*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 5*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (8*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 51697] -> 3 - a^(-2) - a^2 - 2*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 10*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 51698] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) + z^2/a^12 - (3*z^2)/a^10 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (7*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51699] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^8 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - 
   (5*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 51700] -> 
  -4 - 2/a^6 - a^(-4) + 8/a^2 - 12*z^2 + (2*z^2)/a^8 - (15*z^2)/a^6 + 
   (14*z^2)/a^4 + (18*z^2)/a^2 - 13*z^4 + (3*z^4)/a^8 - (25*z^4)/a^6 + 
   (35*z^4)/a^4 + (21*z^4)/a^2 - 6*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (32*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 51701] -> 
  -2 - 3/a^6 + 3/a^4 + 3/a^2 - 5*z^2 + z^2/a^10 - (4*z^2)/a^8 - (3*z^2)/a^6 + 
   (12*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (2*z^4)/a^6 + (18*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 51702] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 
   4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (11*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51703] -> a^(-8) - a^(-6) - 2/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (2*z^4)/a^6 + (5*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (4*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 51704] -> a^(-2) - a^2 + a^4 + z^2 - z^2/a^6 + 
   z^2/a^4 - 4*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (3*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51705] -> 
  -a^(-10) - 3/a^8 + 7/a^6 - 2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (2*z^2)/a^8 + (21*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + 
   (18*z^4)/a^8 + (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (22*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51706] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (15*z^2)/a^12 - (21*z^2)/a^10 + (7*z^2)/a^8 + (9*z^2)/a^6 - 
   (4*z^4)/a^14 + (27*z^4)/a^12 - (35*z^4)/a^10 + (3*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (31*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 51707] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (5*z^4)/a^10 - (12*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51708] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (20*z^4)/a^8 - 
   (22*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (26*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51709] -> -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (4*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 51710] -> -a^(-10) - a^(-8) + 5/a^6 - 
   4/a^4 + 2/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (12*z^4)/a^6 - (15*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 51711] -> 
  -a^(-14) + 3/a^10 - 5/a^8 + 4/a^6 - (4*z^2)/a^14 + (11*z^2)/a^12 - 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (23*z^4)/a^12 - 
   (21*z^4)/a^10 - (6*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (25*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51712] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (10*z^2)/a^14 + (8*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - 
   (9*z^4)/a^14 + (22*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + 
   (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51713] -> 
  -a^(-14) + 2/a^10 - a^(-8) - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (4*z^2)/a^10 - (6*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51714] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (24*z^4)/a^8 - 
   (22*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (26*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51715] -> -2/a^14 + 3/a^12 - 4/a^10 + 4/a^8 - 
   (9*z^2)/a^14 + (12*z^2)/a^12 - (2*z^2)/a^10 + (12*z^2)/a^8 - 
   (2*z^4)/a^16 - (6*z^4)/a^14 + (19*z^4)/a^12 + (8*z^4)/a^10 + 
   (13*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (13*z^6)/a^12 + (8*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51716] -> 4 + 2/a^8 - 2/a^6 + a^(-4) - 4/a^2 + 4*z^2 - 
   z^2/a^10 + (6*z^2)/a^8 - (10*z^2)/a^6 + (4*z^2)/a^4 - (10*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - (8*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51717] -> -7/a^8 + 12/a^6 - 4/a^4 + 
   (2*z^2)/a^12 - (12*z^2)/a^10 + (2*z^2)/a^8 + (30*z^2)/a^6 - (12*z^2)/a^4 + 
   (3*z^4)/a^12 - (22*z^4)/a^10 + (25*z^4)/a^8 + (30*z^4)/a^6 - 
   (13*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (27*z^6)/a^8 + (17*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 51718] -> 
  -2/a^10 + 2/a^8 - 2/a^6 + 5/a^4 - 2/a^2 + z^2/a^12 - (7*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (10*z^4)/a^8 + (9*z^4)/a^6 + (8*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (7*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51719] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51720] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + z^2 + z^2/a^2 - 4*a^2*z^2 - 3*a^4*z^2 + 
   7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 - 9*a^4*z^4 + 
   8*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51721] -> -4/a^12 + 8/a^10 - 7/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (3*z^2)/a^12 + (9*z^2)/a^10 - (11*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (18*z^4)/a^12 - (8*z^4)/a^10 - (10*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (14*z^6)/a^12 - (19*z^6)/a^10 - (9*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (11*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 51722] -> 
  -a^(-14) + a^(-12) - 2/a^10 + 4/a^8 - 3/a^6 + 2/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51723] -> 
  a^(-8) + 4/a^6 - 12/a^4 + 8/a^2 - z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (28*z^2)/a^4 + (12*z^2)/a^2 + z^4/a^10 - (7*z^4)/a^8 + 
   (14*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + 
   (10*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51724] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (9*z^4)/a^10 - (2*z^4)/a^8 - (18*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - (13*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 51725] -> -3/a^10 + 5/a^8 - 3/a^6 + 2/a^4 - z^2/a^14 + 
   (2*z^2)/a^12 - (4*z^2)/a^10 + (10*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (4*z^4)/a^10 + (3*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51726] -> -2/a^14 + 2/a^12 - a^(-8) + 2/a^6 - 
   z^2/a^16 - (3*z^2)/a^14 + (5*z^2)/a^12 + (4*z^2)/a^10 + (2*z^2)/a^8 + 
   (5*z^2)/a^6 - z^4/a^16 + (7*z^4)/a^12 + (7*z^4)/a^10 + (5*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 51727] -> -1 + 2/a^8 - 2/a^6 + 2*a^2 - 
   4*z^2 - z^2/a^10 + (3*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + a^2*z^2 - 
   2*z^4 - z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 + z^6/a^8 + 
   z^6/a^6 + z^6/a^4 + z^6/a^2, Knot[15, Alternating, 51728] -> 
  1 + a^2 - 2*a^4 + a^6 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 
   8*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 51729] -> a^(-2) - a^2 + a^4 - 2*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51730] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + (9*z^6)/a^2 + 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 51731] -> -a^(-4) + 2/a^2 + z^2 + z^2/a^10 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51732] -> 
  -3/a^12 + 4/a^10 - 2/a^8 + 2/a^6 - (2*z^2)/a^14 - z^2/a^12 + (8*z^2)/a^10 - 
   z^2/a^8 + (7*z^2)/a^6 - (3*z^4)/a^14 + (8*z^4)/a^12 + (5*z^4)/a^10 - 
   (4*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - (3*z^6)/a^10 - 
   (8*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 51733] -> 
  4 - 2/a^2 - a^4 + 10*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + z^2/a^2 - 
   3*a^4*z^2 + 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + a^2*z^4 - 
   3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 
   3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 51734] -> 
  -2 + 6*a^2 - 3*a^4 - 13*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 19*z^4 + z^4/a^6 - (9*z^4)/a^4 + (18*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + (12*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 51735] -> -3/a^12 + 4/a^10 - a^(-8) + a^(-4) - 
   (2*z^2)/a^14 + z^2/a^12 + (7*z^2)/a^10 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 - (5*z^4)/a^8 + 
   z^4/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51736] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^8 - 
   (3*z^2)/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 2*a^4*z^2 + 6*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - a^4*z^4 + 3*z^6 + 
   (2*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 51737] -> 
  -3 + a^(-4) + a^(-2) + a^2 + a^4 - 11*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 - 10*z^4 - (2*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + z^6/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 51738] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (4*z^2)/a^6 + (8*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - 
   z^4/a^6 + (12*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 51739] -> -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 7*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 - a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 51740] -> 
  -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - (6*z^2)/a^14 + (16*z^2)/a^12 - 
   (11*z^2)/a^10 + (10*z^2)/a^6 - (5*z^4)/a^14 + (29*z^4)/a^12 - 
   (28*z^4)/a^10 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (29*z^6)/a^10 - 
   (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 51741] -> 
  -a^(-14) + a^(-12) - a^(-8) + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (8*z^2)/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (5*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51742] -> 2/a^4 - 2/a^2 + a^4 - 3*z^2 - z^2/a^8 + 
   z^2/a^6 - z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 51743] -> 
  -2/a^10 + a^(-8) + a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (6*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (11*z^4)/a^10 + (12*z^4)/a^8 + (14*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51744] -> 
  -a^(-14) + a^(-12) - a^(-10) + a^(-8) + a^(-4) - (3*z^2)/a^14 + 
   (9*z^2)/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51745] -> -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (7*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51746] -> -2/a^14 + a^(-12) + a^(-10) + a^(-6) - 
   z^2/a^16 - (6*z^2)/a^14 + (8*z^2)/a^12 + (6*z^2)/a^10 + (4*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (12*z^4)/a^12 + (11*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51747] -> 
  -a^(-14) + a^(-12) - a^(-10) + a^(-8) + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 - (5*z^4)/a^10 + (4*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51748] -> 
  -1 + a^(-4) + a^4 - 5*z^2 - z^2/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51749] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - 
   (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51750] -> -a^(-10) - a^(-8) + 3/a^6 - 
   z^2/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 + 
   (2*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + z^4/a^10 - (8*z^4)/a^8 + z^4/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51751] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (9*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (17*z^4)/a^8 + (13*z^4)/a^6 - 
   (12*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 51752] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2 - z^2/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + z^4 + (3*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^8 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51753] -> -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - (14*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51754] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51755] -> 
  1 - a^4 + 2*a^6 - a^8 + z^2 + z^2/a^4 - z^2/a^2 - 2*a^2*z^2 - a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 51756] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51757] -> 
  -a^(-14) + 2/a^10 - 2/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (5*z^2)/a^10 - (7*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51758] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (11*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51759] -> -3/a^12 + 5/a^10 - 3/a^8 + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (10*z^2)/a^10 - (6*z^2)/a^8 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 + (5*z^4)/a^10 - (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51760] -> -a^(-14) + a^(-12) + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 + z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51761] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 8*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51762] -> 
  -3 + 2/a^2 + 2*a^2 - 4*z^2 - (4*z^2)/a^6 + (20*z^2)/a^4 - (21*z^2)/a^2 + 
   7*a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + (30*z^4)/a^4 - (43*z^4)/a^2 + 
   9*a^2*z^4 - 9*z^6 - z^6/a^6 + (16*z^6)/a^4 - (34*z^6)/a^2 + 5*a^2*z^6 - 
   5*z^8 + (3*z^8)/a^4 - (13*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 51763] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (3*z^2)/a^4 - (12*z^2)/a^2 + 3*a^2*z^2 - 
   z^4/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 - (18*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 - (12*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 51764] -> 
  3 - 2/a^6 + 2/a^4 - 2*a^2 + 5*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (11*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 + 6*z^4 + z^4/a^8 - (11*z^4)/a^6 + 
   (15*z^4)/a^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 4*z^6 - (3*z^6)/a^6 + 
   (9*z^6)/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 51765] -> 1 - 2/a^6 + 2/a^4 + a^(-2) - a^2 + z^2 + 
   z^2/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (7*z^2)/a^4 + (3*z^2)/a^2 - 
   2*a^2*z^2 + z^4 - (3*z^4)/a^8 + z^4/a^6 + (8*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + z^6 + (2*z^6)/a^6 + (4*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 51766] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 4*a^2*z^2 - 10*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 15*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51767] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 3*z^2 + z^2/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 - 
   4*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 51768] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   5*z^2 + z^2/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 6*z^4 + z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (5*z^6)/a^2 - 3*a^2*z^6 + z^8 + 
   (2*z^8)/a^2, Knot[15, Alternating, 51769] -> 
  -2/a^10 + 2/a^8 - a^(-6) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (9*z^2)/a^8 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (11*z^4)/a^8 + (3*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51770] -> 
  -2 + a^(-4) + a^2 + 2*a^4 - a^6 - 8*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 51771] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (7*z^2)/a^8 + 
   (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - 
   (14*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 51772] -> -a^(-8) + 2/a^4 - z^2/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51773] -> 1 - a^(-10) + a^(-8) - a^(-6) + 3/a^4 - 
   2/a^2 + 3*z^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51774] -> -a^(-14) + a^(-12) - a^(-10) + 2/a^8 - 
   2/a^6 + 2/a^4 - (3*z^2)/a^14 + (10*z^2)/a^12 - (7*z^2)/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (11*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 51775] -> 
  -2/a^14 + 2/a^12 - a^(-10) + a^(-8) + a^(-6) - z^2/a^16 - (4*z^2)/a^14 + 
   (5*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (8*z^4)/a^12 + (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51776] -> -a^(-14) + a^(-12) - a^(-10) + 2/a^8 - 
   a^(-6) + a^(-2) - z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - z^2/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 51777] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (10*z^4)/a^6 - z^4/a^4 - 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51778] -> -1 - 2/a^10 + 2/a^8 + 2/a^2 - 2*z^2 + 
   z^2/a^12 - (5*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (2*z^4)/a^2 + (2*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 + 
   z^6/a^2, Knot[15, Alternating, 51779] -> 2 - 2*a^2 + 2*a^6 - a^8 + 4*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 3*z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 51780] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^6 - (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 51781] -> 
  -a^(-14) + a^(-12) - a^(-10) + a^(-8) + a^(-6) - a^(-4) + a^(-2) - 
   z^2/a^14 + (5*z^2)/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (4*z^4)/a^10 - z^4/a^8 - (2*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51782] -> 1 + a^(-6) - 2/a^2 + a^2 + z^2 - z^2/a^10 + 
   (4*z^2)/a^8 - (3*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 - (8*z^4)/a^2 + a^2*z^4 - z^6 - (2*z^6)/a^6 - 
   (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 51783] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^12 + (3*z^2)/a^10 + z^2/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - z^4/a^8 - 
   (7*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 51784] -> 
  -2/a^10 + 2/a^8 + a^(-6) - a^(-4) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - 
   (4*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (3*z^4)/a^10 + z^4/a^8 - z^4/a^6 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 51785] -> -2/a^14 + 2/a^12 + a^(-4) - z^2/a^16 - 
   z^2/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^14 + (3*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 51786] -> 
  2/a^8 - 2/a^6 + a^4 - z^2 - z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + z^4 + z^4/a^8 + z^4/a^6 + 
   z^4/a^4 + z^4/a^2, Knot[15, Alternating, 51787] -> 
  2 - a^(-2) + 2*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 15*a^2*z^2 - 
   18*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 24*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 51788] -> 
  -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   21*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51789] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2/a^12 - (3*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 + z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51790] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 2*z^4 + 
   z^4/a^8 - (7*z^4)/a^4 + (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51791] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   6*z^4 + z^4/a^4 - z^4/a^2 + 11*a^2*z^4 - 6*a^4*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 51792] -> -2/a^8 + 2/a^6 + a^(-4) + z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51793] -> 3*a^2 - 3*a^4 + a^6 + 2*z^2 - z^2/a^2 - 
   a^4*z^2 + z^4 - 3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 3*z^6 + z^6/a^2 + 
   8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 51794] -> 
  -1 + a^(-2) + a^2 - 4*z^2 + z^2/a^4 - z^2/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 
   5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 3*a^4*z^4 - 4*z^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51795] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (4*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 51796] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - z^2/a^10 - z^2/a^8 + (4*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - (4*z^4)/a^10 - z^4/a^8 + (5*z^4)/a^6 - z^4/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51797] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 12*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 - 17*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (12*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 13*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51798] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 
   2*z^2 - z^2/a^10 + z^2/a^8 + (6*z^2)/a^6 - (7*z^2)/a^4 + 2*z^4 - 
   z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51799] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 2*z^2 + 
   3*a^2*z^2 + 13*a^4*z^2 - 20*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 
   6*a^4*z^4 - 25*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 51800] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - z^2/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - z^4/a^2 + 6*a^2*z^4 - 7*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 51801] -> 
  -a^(-4) + 2/a^2 - 7*z^2 - z^2/a^6 - z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 
   13*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51802] -> 
  2 - a^(-2) + a^2 - a^4 + z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   2*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51803] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 5*z^2 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + z^4/a^6 + 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 51804] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 5*z^4 - z^4/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 7*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51805] -> 2 - a^(-2) + a^2 - a^4 - 2*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (10*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51806] -> -1 - a^(-4) + 3/a^2 - a^4 + a^6 - 
   2*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 5*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 51807] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + z^2 - (6*z^2)/a^8 + 
   (19*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (13*z^4)/a^6 - (22*z^4)/a^4 + (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (14*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51808] -> -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^2 + 
   12*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 16*a^4*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 10*a^4*z^6 - 
   a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 51809] -> -2/a^6 + 3/a^4 - z^2/a^10 - z^2/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (9*z^4)/a^6 - 
   (6*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 51810] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 14*z^2 - z^2/a^6 - z^2/a^4 + 
   (10*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 17*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 7*a^2*z^4 + a^4*z^4 - 11*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   a^4*z^6 - 3*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 51811] -> 
  -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^4 + z^4/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 + 
   (17*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + z^6/a^8 + 
   (12*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51812] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 + 
   (2*z^2)/a^12 - (11*z^2)/a^10 + (9*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 + z^4/a^12 - (11*z^4)/a^10 + (14*z^4)/a^8 + (12*z^4)/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51813] -> 1 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 51814] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 - 4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51815] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 
   z^4 + z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + (2*z^6)/a^4 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 51816] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 + z^2/a^2 - 10*a^2*z^2 + 5*a^4*z^2 + z^4 - 
   z^4/a^4 + (4*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 51817] -> 
  3 - a^(-2) - a^2 + 4*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 10*a^2*z^2 + 
   5*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51818] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (3*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (3*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 51819] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 51820] -> 
  -3/a^8 + 7/a^6 - 6/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (17*z^2)/a^6 - (19*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - z^4/a^10 - z^4/a^8 + 
   (12*z^4)/a^6 - (23*z^4)/a^4 + z^4/a^2 + z^6 + (2*z^6)/a^8 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51821] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   13*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 + 4*a^2*z^2 - 
   15*z^4 - z^4/a^8 + (7*z^4)/a^6 - (18*z^4)/a^4 + (20*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51822] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (3*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - 
   z^2/a^4 + z^4/a^12 - (11*z^4)/a^8 + (16*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51823] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (17*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (17*z^4)/a^6 - (21*z^4)/a^4 + (13*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (13*z^6)/a^4 + (8*z^6)/a^2 + (3*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51824] -> 
  a^4 + 2*a^6 - 2*a^8 + a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 
   2*a^10*z^2 + a^12*z^2 - 3*a^4*z^4 + 9*a^6*z^4 - 10*a^8*z^4 - a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 - 2*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 51825] -> 
  1 + a^2 - 2*a^6 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 
   3*a^10*z^2 - 2*z^4 + 4*a^2*z^4 - 9*a^4*z^4 + 10*a^6*z^4 - 10*a^8*z^4 + 
   a^10*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 51826] -> -2/a^12 + 5/a^10 - 7/a^8 + 5/a^6 - 
   z^2/a^12 + (8*z^2)/a^10 - (14*z^2)/a^8 + (14*z^2)/a^6 + (2*z^4)/a^12 + 
   z^4/a^10 - (13*z^4)/a^8 + (14*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - 
   (5*z^6)/a^10 - (4*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51827] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + z^4/a^8 + 
   z^4/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - 
   (2*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51828] -> 
  -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 - z^2/a^10 - (3*z^2)/a^8 + (17*z^2)/a^6 - 
   (13*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (17*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 51829] -> 
  -2 - 3/a^4 + 6/a^2 - 10*z^2 - z^2/a^6 - (4*z^2)/a^4 + (16*z^2)/a^2 + 
   2*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 51830] -> 3*a^4 - 2*a^6 - z^2 + a^2*z^2 + 9*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 - 2*z^4 + 5*a^2*z^4 + 6*a^4*z^4 - 16*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 51831] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (5*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   z^4/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (3*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51832] -> 2*a^2 - a^4 - 3*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51833] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 8*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 51834] -> -a^2 + 6*a^4 - 5*a^6 + a^8 - 2*z^2 + 
   2*a^2*z^2 + 12*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 
   8*a^4*z^4 - 18*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 51835] -> -1 + 4*a^2 - 2*a^4 - z^2/a^2 + 
   7*a^2*z^2 - 4*a^4*z^2 - 2*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   4*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 51836] -> 1 + 3*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   2*a^4*z^2 + 4*z^4 - z^4/a^4 + (3*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 
   z^6/a^4 + (4*z^6)/a^2 - 9*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 51837] -> 
  -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) - (3*z^2)/a^10 + (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - 
   (15*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 51838] -> 
  1 - 2/a^8 + 6/a^6 - 6/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 - (2*z^2)/a^8 + 
   (14*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (15*z^4)/a^6 - (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51839] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 
   14*z^2 - (7*z^2)/a^4 + (19*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 9*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (20*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - 
   z^6/a^6 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 51840] -> a^6 + 3*a^8 - 3*a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + 2*a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 4*a^2*z^4 - 6*a^4*z^4 - 
   4*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 7*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 51841] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (10*z^2)/a^8 + (15*z^2)/a^6 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 - (5*z^4)/a^8 + (15*z^4)/a^6 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51842] -> -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 
   6/a^10 + (7*z^2)/a^16 - (26*z^2)/a^14 + (8*z^2)/a^12 + (21*z^2)/a^10 + 
   (2*z^2)/a^8 - (21*z^4)/a^14 + (24*z^4)/a^12 + (29*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (20*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51843] -> 26 + 3/a^4 - 17/a^2 - 11*a^2 + 88*z^2 + 
   (9*z^2)/a^4 - (55*z^2)/a^2 - 34*a^2*z^2 + 128*z^4 + (10*z^4)/a^4 - 
   (71*z^4)/a^2 - 42*a^2*z^4 + 99*z^6 + (5*z^6)/a^4 - (46*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 51844] -> 
  14 + a^(-6) - 3/a^4 - 4/a^2 - 7*a^2 + 36*z^2 + (3*z^2)/a^6 - (12*z^2)/a^4 - 
   (3*z^2)/a^2 - 17*a^2*z^2 + 40*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (7*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 51845] -> a^(-14) - 5/a^12 + 10/a^10 - 12/a^8 + 
   7/a^6 - (5*z^2)/a^12 + (18*z^2)/a^10 - (27*z^2)/a^8 + (21*z^2)/a^6 - 
   (2*z^2)/a^4 + z^4/a^12 + (7*z^4)/a^10 - (22*z^4)/a^8 + (23*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (4*z^6)/a^10 - (6*z^6)/a^8 + (13*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (2*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 51846] -> 
  -5 - a^(-8) + 4/a^6 - 7/a^4 + 9/a^2 - a^2 + 2*a^4 - 5*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (17*z^2)/a^4 + (17*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51847] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - z^2 + 
   9*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - z^4/a^2 + 9*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 51848] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (4*z^2)/a^8 + (20*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (20*z^4)/a^10 + 
   (21*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (23*z^6)/a^8 + (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51849] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - z^4 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (8*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (5*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51850] -> -a^(-8) + 2/a^4 + z^2/a^12 - (2*z^2)/a^10 - 
   z^2/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + 
   (7*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51851] -> 4*a^2 - 6*a^4 + 5*a^6 - 3*a^8 + a^10 - 
   3*z^2 + 13*a^2*z^2 - 21*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 19*a^2*z^4 - 26*a^4*z^4 + 16*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 51852] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 
   9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51853] -> 
  1 - a^(-8) + 4/a^6 - 5/a^4 + 2/a^2 + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (6*z^4)/a^8 - z^4/a^6 - (16*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 51854] -> -2/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (5*z^2)/a^12 - z^2/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - (11*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51855] -> -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (7*z^4)/a^4 + (18*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 51856] -> 
  2 - 2/a^8 + 7/a^6 - 7/a^4 + a^(-2) + 3*z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (16*z^2)/a^6 - (15*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (17*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51857] -> -3 + a^(-4) + a^(-2) + 2*a^2 - 
   a^4 + a^6 - 11*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   14*z^4 - z^4/a^4 + (5*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 51858] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - z^4/a^6 + z^4/a^4 + (6*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 51859] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   (9*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51860] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - z^2 + 
   5*a^2*z^2 - 8*a^4*z^2 + 14*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 13*a^4*z^4 + 17*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   6*a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51861] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + z^2 + z^2/a^10 - z^2/a^8 - 
   (5*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 - z^6/a^10 - z^6/a^8 + (6*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51862] -> 2*a^6 + 2*a^8 - 4*a^10 + a^12 - 3*a^4*z^2 + 
   9*a^6*z^2 + 11*a^8*z^2 - 12*a^10*z^2 + 2*a^12*z^2 - 6*a^4*z^4 + 
   14*a^6*z^4 + 15*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 - 2*a^4*z^6 + 
   11*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 51863] -> 2*a^4 - a^8 - z^2 + 9*a^4*z^2 - 6*a^6*z^2 + 
   2*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 8*a^4*z^4 - 13*a^6*z^4 + 5*a^8*z^4 - z^6 + 
   6*a^2*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 51864] -> 
  -3 + 2/a^2 + 2*a^2 - 15*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 + 
   7*a^2*z^2 - a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51865] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   14*z^2 - z^2/a^4 + (6*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 4*a^6*z^2 - 
   18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51866] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   3*z^4 - z^4/a^6 + (3*z^4)/a^2 + a^2*z^4 - 4*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51867] -> 
  5 - 2/a^2 - 2*a^2 + 4*z^2 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - 
   5*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 51868] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - a^2*z^2 - 4*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (13*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51869] -> 2 - 3*a^2 + 3*a^4 - a^6 + 3*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 + 2*z^4 + 
   4*a^2*z^4 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 51870] -> a^(-10) - a^(-8) - 3/a^6 + 
   4/a^4 + z^2/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 - 
   z^4/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 - (2*z^4)/a^4 - z^6/a^10 + 
   (3*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - 
   z^8/a^6 - (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51871] -> 1 + a^(-6) - 2/a^4 + a^(-2) + z^2 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^8 + z^4/a^6 - 
   (12*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 51872] -> a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 
   4*a^4*z^2 + 10*a^6*z^2 + 14*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 
   6*a^4*z^4 + 17*a^6*z^4 + 16*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 13*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 51873] -> -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 
   2*a^12 - a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 + 10*a^8*z^2 - 15*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 - 4*a^4*z^4 + 19*a^6*z^4 + 14*a^8*z^4 - 
   13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 14*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 51874] -> 
  -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + (3*z^2)/a^2 + 
   6*a^2*z^2 - 13*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 
   8*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   7*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 51875] -> -2/a^18 + 13/a^16 - 24/a^14 + 
   12/a^12 + 2/a^10 - z^2/a^18 + (20*z^2)/a^16 - (66*z^2)/a^14 + 
   (48*z^2)/a^12 + (11*z^2)/a^10 + (5*z^4)/a^16 - (59*z^4)/a^14 + 
   (77*z^4)/a^12 + (21*z^4)/a^10 - (3*z^6)/a^16 - (16*z^6)/a^14 + 
   (60*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (22*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 51876] -> -a^(-18) + 6/a^16 - 8/a^14 - 3/a^12 + 
   7/a^10 + (6*z^2)/a^16 - (21*z^2)/a^14 + (24*z^2)/a^10 + (2*z^2)/a^8 - 
   z^4/a^16 - (15*z^4)/a^14 + (14*z^4)/a^12 + (32*z^4)/a^10 + (5*z^4)/a^8 - 
   z^6/a^16 - z^6/a^14 + (15*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 51877] -> 28 + 3/a^4 - 18/a^2 - 12*a^2 + 92*z^2 + 
   (8*z^2)/a^4 - (55*z^2)/a^2 - 36*a^2*z^2 + 131*z^4 + (9*z^4)/a^4 - 
   (69*z^4)/a^2 - 43*a^2*z^4 + 100*z^6 + (5*z^6)/a^4 - (45*z^6)/a^2 - 
   26*a^2*z^6 + 43*z^8 + z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 51878] -> 
  13 + a^(-6) - 4/a^4 - 2/a^2 - 7*a^2 + 34*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + 
   z^2/a^2 - 17*a^2*z^2 + 39*z^4 + (2*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (11*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 51879] -> 
  -7 - a^(-4) + 4/a^2 + 10*a^2 - 7*a^4 + 2*a^6 - 20*z^2 - (2*z^2)/a^4 + 
   (10*z^2)/a^2 + 23*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 23*z^4 - 
   (2*z^4)/a^4 + (11*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 51880] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 
   5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 51881] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 - z^2/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 14*a^4*z^2 + 4*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 15*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51882] -> 
  -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 16*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (15*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51883] -> 
  a^6 + 5*a^8 - 7*a^10 + 2*a^12 - 5*a^4*z^2 + 11*a^6*z^2 + 15*a^8*z^2 - 
   17*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 7*a^4*z^4 + 19*a^6*z^4 + 18*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 14*a^6*z^6 + 11*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 51884] -> a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + 
   a^(-8) + z^2/a^16 - (9*z^2)/a^14 - (3*z^2)/a^12 + (18*z^2)/a^10 + 
   (5*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + (9*z^4)/a^12 + (23*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 51885] -> 
  -a^4 + 5*a^6 - a^8 - 3*a^10 + a^12 - 3*a^2*z^2 + 15*a^6*z^2 + 2*a^8*z^2 - 
   8*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 4*a^4*z^4 + 16*a^6*z^4 + 
   6*a^8*z^4 - 5*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 7*a^6*z^6 + 4*a^8*z^6, 
 Knot[15, Alternating, 51886] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 2*z^2 - 
   z^2/a^2 + 10*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   9*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 51887] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 5*z^2 + 
   (2*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 - 
   2*z^4 + z^4/a^8 - (13*z^4)/a^6 + (16*z^4)/a^4 + (17*z^4)/a^2 - 3*a^2*z^4 + 
   2*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (12*z^6)/a^2 - a^2*z^6 + z^8 + 
   (3*z^8)/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 51888] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51889] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 51890] -> 
  a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + z^2 - a^4*z^2 + 12*a^6*z^2 - 
   14*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 
   10*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 5*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 51891] -> 
  a^2 + a^4 - a^6 + z^2 - z^2/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 
   2*z^4 + z^4/a^2 - 2*a^2*z^4 + 15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 51892] -> 
  a^2 + a^4 - a^6 - z^2/a^2 + 3*a^2*z^2 + a^4*z^2 - a^6*z^2 + z^4/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 + a^4*z^4 - a^6*z^4 - (2*z^6)/a^2 + 4*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 51893] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   5*a^4*z^2 + 14*a^6*z^2 + 8*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 21*a^6*z^4 + 12*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 51894] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 
   2*a^2*z^2 + 2*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - 
   z^4 - 2*a^2*z^4 + 4*a^4*z^4 + 11*a^6*z^4 + 2*a^8*z^4 - 4*a^10*z^4 + 
   a^2*z^6 + 4*a^4*z^6 + 6*a^6*z^6 + 3*a^8*z^6, 
 Knot[15, Alternating, 51895] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 + 9*a^2*z^2 - 
   10*a^4*z^2 + 2*a^6*z^2 + a^8*z^2 - z^4/a^2 + 9*a^2*z^4 - 13*a^4*z^4 + 
   a^6*z^4 + a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 
   3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 51896] -> 
  3*a^6 - 3*a^10 + a^12 - 3*a^4*z^2 + 10*a^6*z^2 + 8*a^8*z^2 - 11*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 15*a^6*z^4 + 13*a^8*z^4 - 11*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 12*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 51897] -> 
  -4/a^8 + 8/a^6 - 5/a^4 + 2/a^2 + z^2 - (2*z^2)/a^10 + z^2/a^8 + 
   (16*z^2)/a^6 - (18*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (7*z^4)/a^8 + (7*z^4)/a^6 - (25*z^4)/a^4 + (6*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (16*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 51898] -> -2/a^10 + 3/a^8 - 2/a^4 + 2/a^2 + 
   z^2 - z^2/a^12 + z^2/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 + (3*z^4)/a^10 + (3*z^4)/a^8 - (10*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - (2*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - 
   z^6/a^2, Knot[15, Alternating, 51899] -> -1 + a^(-2) + 2*a^2 - 3*a^4 + 
   3*a^6 - a^8 - 7*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 9*a^6*z^2 - 
   2*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51900] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + z^2/a^4 + 2*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 - 7*z^4 + (2*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - 6*z^6 + z^6/a^4 - (2*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 51901] -> 
  3*a^6 - 3*a^10 + a^12 - 2*a^4*z^2 + 9*a^6*z^2 + 7*a^8*z^2 - 10*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 13*a^6*z^4 + 11*a^8*z^4 - 10*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 - a^4*z^6 + 11*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 51902] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 18*z^2 + z^2/a^6 - (12*z^2)/a^2 - 7*a^2*z^2 + 
   21*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - (7*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 51903] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + z^2 + z^2/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51904] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 2*z^2 + 7*a^2*z^2 - 6*a^4*z^2 + 
   6*a^6*z^2 - 2*a^8*z^2 + z^4 + z^4/a^2 - 5*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 + 
   z^6/a^2 - 6*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 51905] -> 1 + z^2 + z^2/a^8 + z^2/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 + z^4/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 51906] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + 13*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^4 - z^4/a^2 + 16*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 2*z^6 - 
   (2*z^6)/a^2 + 9*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 51907] -> 1 - a^2 + 2*a^4 - a^6 - 3*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + z^4/a^2 - 3*a^2*z^4 + 11*a^4*z^4 - 
   4*a^6*z^4 - 4*z^6 + z^6/a^2 + 9*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 51908] -> 
  a^(-2) - a^2 + a^4 - 3*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 
   9*z^4 + z^4/a^6 - (3*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 51909] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 11*a^6*z^2 - 
   6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 10*a^6*z^4 - 
   4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 51910] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + 
   a^6 - 11*z^2 + (3*z^2)/a^2 + 16*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (5*z^4)/a^2 + 20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51911] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   15*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51912] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   2*a^2*z^2 - 3*a^4*z^2 + 13*a^6*z^2 - 13*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 18*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 51913] -> 
  -4 + 2/a^6 - 3/a^4 + 3/a^2 + 3*a^2 - 12*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 51914] -> -3 + a^(-4) + a^(-2) + 3*a^2 - 
   3*a^4 + 2*a^6 - 12*z^2 - z^2/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 14*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 51915] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 10*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 + (16*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 51916] -> 1 + a^2 - 3*a^4 + 4*a^6 - 
   3*a^8 + a^10 + 3*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 - z^4/a^2 + 4*a^2*z^4 - 10*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 
   2*z^6 + 2*a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 51917] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   10*z^2 - z^2/a^4 + (3*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 51918] -> 
  -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 6*z^2 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   10*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   15*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 51919] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 9*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 51920] -> 2*a^2 - a^4 - 2*z^2 + (2*z^2)/a^2 - 
   a^2*z^2 + 2*a^4*z^2 + 11*z^4 - z^4/a^2 - 25*a^2*z^4 + 11*a^4*z^4 + 
   20*z^6 - (3*z^6)/a^2 - 40*a^2*z^6 + 13*a^4*z^6 + 11*z^8 - z^8/a^2 - 
   26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 51921] -> 1 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 14*a^2*z^4 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (5*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51922] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^10 - 
   (2*z^2)/a^8 + (13*z^2)/a^6 - (2*z^2)/a^4 + (2*z^4)/a^12 - (4*z^4)/a^10 - 
   (3*z^4)/a^8 + (18*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + 
   z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 51923] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (7*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (25*z^4)/a^8 - (26*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (27*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 51924] -> -2/a^10 + 2/a^8 + a^(-4) + 
   z^2/a^12 - (4*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (4*z^4)/a^10 + (5*z^4)/a^8 - (3*z^4)/a^6 + 
   (6*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + (2*z^6)/a^8 + (3*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 51925] -> 
  -a^(-4) + 2/a^2 + 6*z^2 + (2*z^2)/a^6 + (2*z^2)/a^4 - (9*z^2)/a^2 + 
   15*z^4 - z^4/a^6 + (15*z^4)/a^4 - (37*z^4)/a^2 + 14*z^6 - (3*z^6)/a^6 + 
   (21*z^6)/a^4 - (46*z^6)/a^2 + 6*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 51926] -> 1 - 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 + (6*z^4)/a^4 - (9*z^4)/a^2 + 
   6*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 - (8*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 51927] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   (4*z^2)/a^8 + (10*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^10 + 
   z^4/a^8 + (8*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51928] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 3*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + 
   (3*z^4)/a^4 - (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 51929] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (9*z^2)/a^10 + (28*z^2)/a^8 - (28*z^2)/a^6 + (13*z^2)/a^4 - 
   (12*z^4)/a^10 + (54*z^4)/a^8 - (63*z^4)/a^6 + (22*z^4)/a^4 - 
   (6*z^6)/a^10 + (42*z^6)/a^8 - (63*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 51930] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (5*z^2)/a^10 + (14*z^2)/a^8 - 
   (8*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (13*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51931] -> a^4 - 3*a^6 + 8*a^8 - 5*a^10 + 8*a^4*z^2 - 
   24*a^6*z^2 + 43*a^8*z^2 - 17*a^10*z^2 + 18*a^4*z^4 - 55*a^6*z^4 + 
   68*a^8*z^4 - 17*a^10*z^4 + 17*a^4*z^6 - 58*a^6*z^6 + 48*a^8*z^6 - 
   7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 51932] -> 
  a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 2*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + 
   19*a^8*z^2 - 8*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 22*a^8*z^4 - 
   5*a^10*z^4 + 4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 51933] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 2*a^2*z^2 - 
   2*a^4*z^2 + a^6*z^2 + 13*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 - 
   a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 51934] -> 
  2*a^4 - 3*a^6 + 5*a^8 - 3*a^10 + z^2 - 2*a^2*z^2 + 6*a^4*z^2 - 5*a^6*z^2 + 
   10*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 
   7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 51935] -> 
  2/a^4 - 2/a^2 + a^4 - z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + 2*a^4*z^2 + z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 51936] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (4*z^2)/a^14 + (13*z^2)/a^12 - 
   (13*z^2)/a^10 - (3*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (24*z^4)/a^12 - (26*z^4)/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (15*z^6)/a^12 - (26*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 51937] -> -a^(-8) + 2/a^4 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51938] -> 2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^2 - 
   16*a^2*z^2 + 8*a^4*z^2 + 17*z^4 - z^4/a^2 - 41*a^2*z^4 + 16*a^4*z^4 + 
   21*z^6 - (3*z^6)/a^2 - 47*a^2*z^6 + 14*a^4*z^6 + 11*z^8 - z^8/a^2 - 
   27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 51939] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 + (6*z^2)/a^2 + 
   3*a^4*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 - 9*a^2*z^4 + 6*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51940] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 12*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 16*z^4 - z^4/a^6 + 
   z^4/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 51941] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   10*z^2 + (3*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - 3*z^4 - 
   z^4/a^2 + 6*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 - z^6/a^2 + 
   3*a^2*z^6 - 3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, 
 Knot[15, Alternating, 51942] -> 5 - 2/a^2 - 2*a^2 + 14*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 17*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 51943] -> 
  3 - 2*a^2 - 2*a^4 + 2*a^6 + 11*z^2 - (4*z^2)/a^2 - 7*a^2*z^2 - 9*a^4*z^2 + 
   5*a^6*z^2 + 15*z^4 - (6*z^4)/a^2 - 3*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 51944] -> 
  1 + a^(-2) - a^2 - 2*a^4 + 2*a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51945] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + z^2 - a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 51946] -> 
  -8/a^6 + 15/a^4 - 6/a^2 + z^2/a^8 - (25*z^2)/a^6 + (55*z^2)/a^4 - 
   (22*z^2)/a^2 + (4*z^4)/a^8 - (39*z^4)/a^6 + (87*z^4)/a^4 - (30*z^4)/a^2 + 
   (4*z^6)/a^8 - (32*z^6)/a^6 + (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 51947] -> 
  -1 - 6/a^6 + 10/a^4 - 2/a^2 - 5*z^2 + z^2/a^8 - (14*z^2)/a^6 + 
   (26*z^2)/a^4 - 7*z^4 + (2*z^4)/a^8 - (15*z^4)/a^6 + (27*z^4)/a^4 + 
   (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (15*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 51948] -> 11 - 5/a^2 - 5*a^2 + 35*z^2 - 
   (15*z^2)/a^2 - 15*a^2*z^2 + 57*z^4 + (2*z^4)/a^4 - (24*z^4)/a^2 - 
   20*a^2*z^4 + 53*z^6 + (3*z^6)/a^4 - (23*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 51949] -> -2*a^2 + 7*a^4 - 4*a^6 - z^2 - 
   14*a^2*z^2 + 37*a^4*z^2 - 17*a^6*z^2 + 3*z^4 - 31*a^2*z^4 + 72*a^4*z^4 - 
   26*a^6*z^4 + 4*z^6 - 30*a^2*z^6 + 68*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   13*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 51950] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 
   z^2 - z^2/a^2 - 5*a^2*z^2 + 21*a^4*z^2 - 10*a^6*z^2 - 5*z^4 + z^4/a^2 + 
   2*a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 51951] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - 4*z^4 - z^4/a^6 - z^4/a^4 + (9*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51952] -> 
  2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + a^(-8) + z^2/a^16 - (19*z^2)/a^14 + 
   (19*z^2)/a^12 + (9*z^2)/a^10 + (5*z^2)/a^8 - (2*z^4)/a^16 - 
   (12*z^4)/a^14 + (30*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (19*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 51953] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - (8*z^2)/a^14 + 
   (2*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (9*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 51954] -> -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (3*z^2)/a^8 + (14*z^2)/a^6 - (16*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 + (8*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (3*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51955] -> 9 - 4/a^2 - 4*a^2 + 38*z^2 + (6*z^2)/a^4 - 
   (26*z^2)/a^2 - 14*a^2*z^2 + 69*z^4 + (11*z^4)/a^4 - (50*z^4)/a^2 - 
   22*a^2*z^4 + 64*z^6 + (6*z^6)/a^4 - (41*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 51956] -> 4 - a^(-4) - 2*a^2 + 16*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 51957] -> 
  -1 - 2/a^4 + 4/a^2 + z^2 + (4*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 
   2*a^2*z^2 + 7*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (12*z^4)/a^2 - 
   5*a^2*z^4 + 9*z^6 + z^6/a^6 - (10*z^6)/a^4 + (10*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 51958] -> 2 - 3*a^4 + 2*a^6 + 8*z^2 - (3*z^2)/a^2 - 
   3*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 + 12*z^4 - (5*z^4)/a^2 - a^2*z^4 - 
   14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 4*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 51959] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 4*z^2 - 
   z^2/a^4 - 4*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51960] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (5*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 + 
   (3*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 51961] -> -2 + a^(-2) + 3*a^2 - a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 9*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 51962] -> -1 + a^(-2) + a^2 + 13*z^2 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 - 6*a^2*z^2 + 41*z^4 + (5*z^4)/a^4 - (27*z^4)/a^2 - 
   15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 51963] -> a^(-4) - a^(-2) + a^2 + 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 - 3*a^2*z^2 + 11*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 51964] -> 
  15 - 7/a^2 - 7*a^2 + 53*z^2 + (2*z^2)/a^4 - (26*z^2)/a^2 - 22*a^2*z^2 + 
   85*z^4 + (5*z^4)/a^4 - (41*z^4)/a^2 - 29*a^2*z^4 + 73*z^6 + (4*z^6)/a^4 - 
   (33*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 51965] -> 
  10 - a^(-4) - 3/a^2 - 5*a^2 + 26*z^2 + z^2/a^6 - (5*z^2)/a^4 - 
   (4*z^2)/a^2 - 12*a^2*z^2 + 30*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (2*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 51966] -> -2*a^2 + 7*a^4 - 4*a^6 - 15*a^2*z^2 + 
   36*a^4*z^2 - 16*a^6*z^2 + 4*z^4 - 33*a^2*z^4 + 70*a^4*z^4 - 25*a^6*z^4 + 
   4*z^6 - 31*a^2*z^6 + 67*a^4*z^6 - 19*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 51967] -> 1 - 4*a^2 + 8*a^4 - 4*a^6 - 2*z^2 - 
   6*a^2*z^2 + 22*a^4*z^2 - 10*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 27*a^4*z^4 - 
   10*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 
   2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 51968] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - 4*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51969] -> -a^(-8) + 2/a^4 - z^2 + z^2/a^10 - z^2/a^8 - 
   z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (5*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 51970] -> -2 + a^(-4) + 2*a^2 - 9*z^2 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 - (2*z^2)/a^2 + 4*a^2*z^2 - 11*z^4 - (6*z^4)/a^6 + 
   (14*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 51971] -> 
  4 - 4*a^2 - a^4 + 2*a^6 + 10*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 - 10*a^4*z^2 + 
   5*a^6*z^2 + 14*z^4 - (6*z^4)/a^2 - 15*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - 
   (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 51972] -> 
  -1 + 2/a^2 - 2*a^4 + 2*a^6 + z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 51973] -> 
  2 + a^(-4) - 2/a^2 + 4*z^2 + (5*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   2*z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 51974] -> -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (10*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 51975] -> 1 - a^(-10) - a^(-8) + 5/a^6 - 
   3/a^4 + 3*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 - 
   (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51976] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 5*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 51977] -> 
  1 - a^(-10) + 2/a^8 - a^(-6) + 3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (4*z^4)/a^6 - (7*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 51978] -> 1 - z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 51979] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 - z^2/a^6 + (3*z^2)/a^4 - (6*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 5*z^4 - z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + 2*a^4*z^4 + (2*z^6)/a^4 - (2*z^6)/a^2 - 3*a^2*z^6 + a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 51980] -> 
  1 + 15*z^2 + z^2/a^4 - (9*z^2)/a^2 - 7*a^2*z^2 + 42*z^4 + (5*z^4)/a^4 - 
   (26*z^4)/a^2 - 15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 51981] -> 
  -1 + a^(-2) + a^2 + 5*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 
   29*z^4 + (5*z^4)/a^4 - (23*z^4)/a^2 - 11*a^2*z^4 + 41*z^6 + (4*z^6)/a^4 - 
   (26*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 51982] -> 
  a^(-4) - a^(-2) + a^2 + 7*z^2 + z^2/a^6 - (7*z^2)/a^2 - 3*a^2*z^2 + 
   15*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 51983] -> 
  -1 + a^(-2) + a^2 - 6*z^2 + (3*z^2)/a^2 + a^2*z^2 + a^4*z^2 - 8*z^4 - 
   z^4/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 51984] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 - z^2 - 5*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 
   5*z^4 + z^4/a^2 + 20*a^4*z^4 - 8*a^6*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 51985] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 - 4*z^4 + z^4/a^8 - (7*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (5*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 51986] -> -1 + a^(-2) + a^2 + 2*z^2 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*a^2*z^2 + 11*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (7*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 51987] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^4 + z^4/a^12 - 
   (7*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51988] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 51989] -> 
  -a^(-10) + a^(-6) + a^(-4) - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^12 - (3*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - z^4/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (6*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 51990] -> 
  -a^(-8) + 2/a^4 + z^2/a^14 - (6*z^2)/a^12 + (11*z^2)/a^10 - (8*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^4)/a^12 + (16*z^4)/a^10 - (17*z^4)/a^8 + 
   (6*z^4)/a^6 + z^4/a^4 + (6*z^6)/a^10 - (14*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^4 - (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^6, 
 Knot[15, Alternating, 51991] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (2*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 - (12*z^2)/a^6 + (5*z^2)/a^2 - 
   z^4/a^12 + (9*z^4)/a^10 - (2*z^4)/a^8 - (19*z^4)/a^6 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - (13*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 51992] -> a^(-12) - 5/a^10 + 6/a^8 - 3/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 - (8*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 51993] -> 2/a^2 - 2*a^2 + a^8 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - 4*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 
   2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 51994] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - (8*z^2)/a^10 + (12*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + (27*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 - 
   (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 51995] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + z^2/a^12 - (5*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 + (2*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^10 + 
   (6*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 51996] -> -a^(-12) + 3/a^10 - 5/a^8 + 3/a^6 + a^(-4) + 
   (5*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + z^4/a^12 - z^4/a^10 - 
   (11*z^4)/a^8 + (16*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 - 
   z^6/a^8 + (11*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 51997] -> 2/a^4 - 2/a^2 + a^4 - z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + z^4 - 
   (3*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 51998] -> 5 - 6*a^2 + a^4 + a^8 + 11*z^2 - 
   (4*z^2)/a^2 - 12*a^2*z^2 - 5*a^6*z^2 + 3*a^8*z^2 + 10*z^4 - (4*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 5*z^6 - z^6/a^2 + 2*a^2*z^6 + 
   3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 51999] -> 1 + a^(-4) - 2*a^2 + a^8 - z^2/a^6 - 
   z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + 3*z^4 + z^4/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4, Knot[15, Alternating, 52000] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 - 4*z^6 + 
   (3*z^6)/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52001] -> 
  -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 - 
   z^2/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (20*z^4)/a^8 - (23*z^4)/a^6 - 
   (4*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52002] -> 
  -a^(-10) - a^(-8) + 2/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (4*z^2)/a^8 + (8*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - 
   (10*z^4)/a^10 + (10*z^4)/a^8 + (11*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (8*z^6)/a^8 + (8*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52003] -> 
  -a^(-10) + 3/a^4 - a^(-2) - z^2 + z^2/a^12 - (3*z^2)/a^10 + (5*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 - z^4 - (3*z^4)/a^10 + z^4/a^8 + (7*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^8 + (4*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 52004] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + (2*z^2)/a^10 - 
   z^2/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (7*z^2)/a^2 - 4*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (6*z^4)/a^6 + (10*z^4)/a^4 + (6*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (8*z^6)/a^4 + (4*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 52005] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2/a^10 - (3*z^2)/a^6 + z^2/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - (2*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 52006] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + 
   3*a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 - 11*a^8*z^2 + 11*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 10*a^4*z^4 + 11*a^6*z^4 - 19*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 9*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 52007] -> 2*a^4 - 2*a^8 + 2*a^10 - a^12 + z^2 + 
   a^2*z^2 + a^4*z^2 + a^6*z^2 - 3*a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 2*a^4*z^4 - a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 52008] -> 
  1 + 2*a^2 - 3*a^4 + a^8 + 3*z^2 - (3*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 - 
   4*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - (4*z^4)/a^2 + 11*a^2*z^4 - 5*a^4*z^4 - 
   7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 9*a^2*z^6 + 2*a^4*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 52009] -> 
  2 - 2*a^4 + a^8 + 3*z^2 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 5*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + 5*z^4 - z^4/a^4 + 4*a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 + 3*z^6 + z^6/a^2 + 3*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 52010] -> a^8 + 3*a^10 - 2*a^12 - a^14 + 3*a^4*z^2 + 
   a^6*z^2 + 3*a^8*z^2 + 10*a^10*z^2 + a^12*z^2 - 3*a^14*z^2 + 4*a^4*z^4 - 
   3*a^8*z^4 + 8*a^10*z^4 + 6*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 
   7*a^8*z^6 - a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 52011] -> 2*a^8 + a^10 - a^12 - a^14 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 + 5*a^10*z^2 + a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + 3*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 52012] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (19*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 52013] -> -a^(-8) + a^(-6) + a^(-2) + 
   z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 + 
   z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52014] -> 
  9 - 4/a^2 - 4*a^2 + 26*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - (8*z^2)/a^2 - 
   11*a^2*z^2 + 30*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - (2*z^4)/a^2 - 
   11*a^2*z^4 + 18*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 52015] -> 2 - a^(-4) + a^(-2) - a^2 + 2*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 - a^4*z^2 + z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + 
   (3*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 52016] -> a^(-2) + a^2 - 2*a^4 + a^8 - z^2 - z^2/a^4 + 
   2*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 52017] -> 
  -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 3/a^6 - z^2/a^14 + (2*z^2)/a^12 + 
   z^2/a^10 + (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (2*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 52018] -> 
  -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - z^2/a^14 + (3*z^2)/a^12 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + z^4/a^10 - (7*z^4)/a^8 + z^4/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 52019] -> -1 + a^(-4) + a^4 - 4*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 52020] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 - (6*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (6*z^4)/a^10 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52021] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 9*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 5*z^4 - 
   4*a^2*z^4 - 8*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6 + z^6/a^2 - 7*a^2*z^6 - 
   5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 52022] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 
   2*z^2 - z^2/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + 
   z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + (8*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 + (2*z^6)/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52023] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 7*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   9*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 13*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 52024] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 52025] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 - 
   (10*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - (16*z^4)/a^6 - 
   (14*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (22*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52026] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + 
   (17*z^2)/a^4 - (8*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (19*z^4)/a^6 + 
   (29*z^4)/a^4 - (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (25*z^6)/a^4 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (3*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 52027] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 - (3*z^2)/a^2 - z^4 + z^4/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52028] -> 4 + a^(-4) - 3/a^2 - a^2 + 5*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (5*z^2)/a^2 - a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + (3*z^6)/a^4 + 
   2*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 52029] -> 
  1 + a^(-2) - a^2 - a^4 + a^8 + z^2 - z^2/a^4 - 3*a^2*z^2 - 4*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + 4*a^4*z^4 - 3*a^6*z^4 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 52030] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 8*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52031] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 - (14*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 52032] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 4*z^2 + z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - z^4 - 
   z^4/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 + a^2*z^4 + (3*z^6)/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 52033] -> 3/a^12 - 9/a^10 + 6/a^8 + a^(-6) - 
   (3*z^2)/a^14 + (15*z^2)/a^12 - (29*z^2)/a^10 + (18*z^2)/a^8 + 
   (5*z^2)/a^6 - (4*z^4)/a^14 + (26*z^4)/a^12 - (41*z^4)/a^10 + 
   (15*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (32*z^6)/a^10 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 52034] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - (2*z^2)/a^14 + (8*z^2)/a^12 - 
   (11*z^2)/a^10 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (9*z^4)/a^10 - (7*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 52035] -> 2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - 
   (2*z^2)/a^10 + (12*z^2)/a^8 - (19*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (20*z^4)/a^8 - (32*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (26*z^6)/a^6 - z^6/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 52036] -> a^(-4) - a^(-2) + a^2 + z^2 - 
   z^2/a^6 + (10*z^2)/a^4 - (15*z^2)/a^2 + 3*a^2*z^2 - (3*z^4)/a^6 + 
   (20*z^4)/a^4 - (32*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (28*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 52037] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + z^2 + z^2/a^6 + (4*z^2)/a^4 - (11*z^2)/a^2 + 
   2*a^2*z^2 - z^4/a^8 + (4*z^4)/a^6 - (14*z^4)/a^2 + 2*a^2*z^4 - z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 52038] -> 
  2/a^16 - 7/a^14 + 5/a^12 - a^(-10) + 2/a^8 - z^2/a^16 - (13*z^2)/a^14 + 
   (17*z^2)/a^12 + (2*z^2)/a^10 + (9*z^2)/a^8 - (3*z^4)/a^16 - (5*z^4)/a^14 + 
   (25*z^4)/a^12 + (11*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (15*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52039] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - z^2/a^16 - (6*z^2)/a^14 + 
   (4*z^2)/a^12 + (8*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (9*z^4)/a^12 + (13*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52040] -> -a^(-14) - a^(-12) + 2/a^10 + a^(-6) - 
   (2*z^2)/a^16 - (3*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 + (3*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^16 + z^4/a^14 + (9*z^4)/a^12 + (9*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52041] -> 
  -a^(-14) + a^(-8) + a^(-6) - z^2/a^16 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^14 + 
   (4*z^4)/a^12 + (6*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 52042] -> a^4 - a^6 + 6*a^8 - 7*a^10 + 2*a^12 - 
   a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 16*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 + 2*a^4*z^4 + 6*a^6*z^4 + 16*a^8*z^4 - 12*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 3*a^4*z^6 + 7*a^6*z^6 + 9*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 52043] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 - a^2*z^2 + 2*a^4*z^2 + 6*a^6*z^2 + 
   2*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 3*a^4*z^4 + 
   7*a^6*z^4 + 2*a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 4*a^6*z^6 + 
   2*a^8*z^6, Knot[15, Alternating, 52044] -> -2 + 2/a^2 + 2*a^2 - 2*a^4 + 
   a^8 - 3*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 - z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 + 4*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 52045] -> a^4 + 3*a^6 - 5*a^8 + 3*a^10 - a^12 + 
   4*a^2*z^2 - 6*a^4*z^2 + 14*a^6*z^2 - 16*a^8*z^2 + 12*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 13*a^4*z^4 + 17*a^6*z^4 - 22*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 11*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 52046] -> 3*a^4 - 2*a^6 - a^8 + 2*a^10 - a^12 + 
   2*z^2 - 3*a^2*z^2 + 7*a^4*z^2 - 4*a^6*z^2 - 2*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 5*a^2*z^4 + 4*a^4*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 52047] -> 3 - 2*a^2 - a^4 + a^8 + 6*z^2 - 
   (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 
   7*z^4 - z^4/a^4 + z^4/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 + 3*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 52048] -> 
  a^8 + 4*a^10 - 4*a^12 + 4*a^4*z^2 + 2*a^8*z^2 + 12*a^10*z^2 - 2*a^12*z^2 - 
   2*a^14*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 9*a^10*z^4 + 4*a^12*z^4 - 
   a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   2*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 52049] -> 
  3*a^8 - a^10 - a^14 + 2*a^2*z^2 + a^4*z^2 + a^6*z^2 + 6*a^8*z^2 + 
   2*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 
   a^10*z^4 + 2*a^12*z^4 - a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 52050] -> -1 + a^(-2) + a^2 - 9*z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 52051] -> 
  1 - 3*z^2 + (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 + a^6*z^2 - 7*z^4 + z^4/a^4 + 
   5*a^2*z^4 - 3*a^4*z^4 - 3*z^6 - (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 52052] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 5*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 4*z^4 + 
   z^4/a^2 - 2*a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52053] -> 
  a^2 + a^4 - a^6 - 4*z^2 + z^2/a^2 + a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52054] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 - (2*z^2)/a^14 + (9*z^2)/a^12 - 
   (14*z^2)/a^10 + (3*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (15*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52055] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 - z^2/a^10 + (6*z^2)/a^8 - 
   (7*z^2)/a^6 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (11*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (8*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52056] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 13*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (8*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - 
   (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 52057] -> 
  -3 + 2/a^2 + 2*a^2 - 12*z^2 - z^2/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 
   3*a^4*z^2 + a^6*z^2 - 17*z^4 - z^4/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (5*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 52058] -> -1 + 2/a^2 - a^4 + a^8 - 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   z^4/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 52059] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 - (9*z^2)/a^14 + (7*z^2)/a^12 + 
   (8*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + 
   (12*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52060] -> a^(-4) - a^4 + a^8 - 2*z^2 - z^2/a^6 - 
   z^2/a^2 + a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 52061] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 
   (2*z^2)/a^12 + (7*z^2)/a^10 - (4*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 - 
   (6*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (12*z^6)/a^8 + (5*z^6)/a^6 - 
   (7*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 52062] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 - z^2/a^14 + (4*z^2)/a^12 - (9*z^2)/a^10 + (5*z^2)/a^8 + 
   (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 - (5*z^4)/a^10 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52063] -> 1 + 2/a^4 - 3/a^2 + a^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52064] -> 
  a^(-12) - 4/a^10 + 3/a^8 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (5*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (4*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52065] -> 
  2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + a^(-8) + z^2/a^16 - (14*z^2)/a^14 + 
   (11*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (6*z^4)/a^14 + (15*z^4)/a^12 + (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52066] -> -1 + a^(-4) + a^4 - 4*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 52067] -> 1 + 3*a^2 - 5*a^4 + a^6 + a^8 + 3*z^2 - 
   (4*z^2)/a^2 + 9*a^2*z^2 - 11*a^4*z^2 - 4*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - 
   (4*z^4)/a^2 + 13*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + 9*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 52068] -> 2 + a^(-4) - a^(-2) - a^2 - a^4 + a^8 + 
   z^2 - z^2/a^6 - (2*z^2)/a^2 - 2*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - 
   a^2*z^6, Knot[15, Alternating, 52069] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 - z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   2*a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 52070] -> 1 + a^(-2) - a^2 - a^4 + a^8 + z^2 - 
   z^2/a^6 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 + 4*z^4 + 
   z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 + a^4*z^4, 
 Knot[15, Alternating, 52071] -> a^6 + a^8 - a^14 + z^2 + a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 + 2*a^8*z^2 + 2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 - 2*a^8*z^4 - a^10*z^4, Knot[15, Alternating, 52072] -> 
  a^2 + a^4 - a^6 + 2*z^2 - 13*a^2*z^2 + 23*a^4*z^2 - 10*a^6*z^2 + 7*z^4 - 
   37*a^2*z^4 + 59*a^4*z^4 - 21*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 62*a^4*z^6 - 
   18*a^6*z^6 + z^8 - 14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 
   9*a^4*z^10 - a^6*z^10 + a^4*z^12, Knot[15, Alternating, 52073] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + z^2 - 10*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 - 
   6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 23*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52074] -> 
  2/a^6 - 5/a^4 + 4/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (15*z^2)/a^4 + (8*z^2)/a^2 - 2*z^4 + z^4/a^10 - (7*z^4)/a^8 + 
   (14*z^4)/a^6 - (17*z^4)/a^4 + (8*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (10*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52075] -> 
  1 - a^2 + 2*a^4 - a^6 - 3*z^2 + z^2/a^2 - 4*a^2*z^2 + 14*a^4*z^2 - 
   7*a^6*z^2 - 9*z^4 + (3*z^4)/a^2 - a^2*z^4 + 23*a^4*z^4 - 9*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52076] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 6*z^2 + z^2/a^2 + 3*a^2*z^2 + 6*a^4*z^2 - 
   4*a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 52077] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^12 - z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + 
   (9*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52078] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 3*z^2 + 
   z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52079] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 6*z^2 + z^2/a^6 - z^2/a^2 + 
   5*a^2*z^2 + a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (2*z^4)/a^4 + 
   3*a^4*z^4 - 2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 52080] -> -4 + a^(-6) + a^(-4) - a^(-2) + 4*a^2 - 
   10*z^2 - z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - 
   (2*z^4)/a^8 - z^4/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (2*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 52081] -> 
  a^(-4) - a^(-2) + a^2 - 2*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 + 
   2*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 52082] -> 
  a^(-6) + a^(-4) - 2/a^2 - a^2 + 2*a^4 - 2*z^2 - z^2/a^8 + z^2/a^6 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 52083] -> 3*a^4 - 2*a^6 + 4*z^2 - 18*a^2*z^2 + 
   28*a^4*z^2 - 11*a^6*z^2 + 8*z^4 - 41*a^2*z^4 + 61*a^4*z^4 - 21*a^6*z^4 + 
   5*z^6 - 36*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 52084] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 23*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52085] -> 
  a^2 + a^4 - a^6 - 6*z^2 + (2*z^2)/a^2 + a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 - 
   11*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 21*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52086] -> 
  1 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 7*a^4*z^2 - 
   4*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 + 7*a^4*z^4 - 
   3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 52087] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 - z^2 + z^2/a^2 - 8*a^2*z^2 + 15*a^4*z^2 - 
   6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 19*a^4*z^4 - 7*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52088] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52089] -> 1 - a^2 + a^4 + a^6 - a^8 - z^2 + 
   (2*z^2)/a^2 - a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 13*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 6*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52090] -> 
  1 - a^4 + 2*a^6 - a^8 + 2*z^2 + z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 
   5*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 52091] -> 1 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 4*z^4 + z^4/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + 
   5*a^2*z^4 - 2*a^4*z^4 - 5*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 52092] -> a^(-6) + a^(-4) - 2/a^2 + a^6 - 2*z^2 - 
   z^2/a^8 - (3*z^2)/a^2 - 2*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + z^4/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4, Knot[15, Alternating, 52093] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 6*z^2 + 19*a^2*z^2 - 19*a^4*z^2 + 
   8*a^6*z^2 - a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 26*a^2*z^4 - 18*a^4*z^4 + 
   4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 16*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + 
   z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 52094] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + 6*z^4 - 
   z^4/a^6 + (6*z^4)/a^4 - (13*z^4)/a^2 + 9*z^6 - (3*z^6)/a^6 + 
   (16*z^6)/a^4 - (27*z^6)/a^2 + 5*z^8 - z^8/a^6 + (10*z^8)/a^4 - 
   (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 52095] -> -a^(-4) + 2/a^2 - 3*z^2 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (14*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 52096] -> -2/a^10 + a^(-8) + 2/a^6 + 
   z^2/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 - z^2/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 + (5*z^4)/a^8 + (13*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52097] -> -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 + (5*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 + 
   (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52098] -> 5 - 2/a^2 - 2*a^2 + 35*z^2 + (5*z^2)/a^4 - 
   (24*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - (47*z^4)/a^2 - 
   24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52099] -> 3 - a^(-2) - a^2 + 6*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 52100] -> 
  3 - a^(-2) - a^2 + 16*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 
   8*a^2*z^2 + 25*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 10*a^2*z^4 + 17*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 52101] -> 
  1 + 5*z^2 + z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 
   9*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 
   6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 52102] -> -4/a^6 + 7/a^4 - 2/a^2 - 3*z^2 + 
   (2*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 + (2*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (11*z^4)/a^6 + (11*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52103] -> -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^12 - z^4/a^10 - (2*z^4)/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 - z^6/a^8 + (3*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52104] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 - z^2/a^2 - z^4 + z^4/a^10 - (7*z^4)/a^8 + (13*z^4)/a^6 - 
   (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 52105] -> -4/a^8 + 6/a^6 - a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (18*z^4)/a^6 - z^4/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52106] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (9*z^2)/a^10 + (26*z^2)/a^8 - (23*z^2)/a^6 + (11*z^2)/a^4 - 
   (12*z^4)/a^10 + (53*z^4)/a^8 - (59*z^4)/a^6 + (21*z^4)/a^4 - 
   (6*z^6)/a^10 + (42*z^6)/a^8 - (62*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 52107] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - (5*z^2)/a^10 + (14*z^2)/a^8 - 
   (10*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (14*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52108] -> a^4 - 4*a^6 + 10*a^8 - 6*a^10 + 7*a^4*z^2 - 
   22*a^6*z^2 + 43*a^8*z^2 - 17*a^10*z^2 + 17*a^4*z^4 - 52*a^6*z^4 + 
   67*a^8*z^4 - 17*a^10*z^4 + 17*a^4*z^6 - 57*a^6*z^6 + 48*a^8*z^6 - 
   7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 52109] -> 
  a^4 - 3*a^6 + 8*a^8 - 5*a^10 + a^2*z^2 + 2*a^4*z^2 - 6*a^6*z^2 + 
   21*a^8*z^2 - 8*a^10*z^2 + 4*a^2*z^4 - 4*a^4*z^4 - 9*a^6*z^4 + 22*a^8*z^4 - 
   5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52110] -> 5*a^8 - 4*a^10 + a^2*z^2 + a^4*z^2 - 
   3*a^6*z^2 + 19*a^8*z^2 - 8*a^10*z^2 + 4*a^2*z^4 - 4*a^4*z^4 - 8*a^6*z^4 + 
   22*a^8*z^4 - 5*a^10*z^4 + 4*a^2*z^6 - 8*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 52111] -> a^6 + 3*a^8 - 3*a^10 + 
   2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + z^4 + a^2*z^4 - 
   5*a^4*z^4 + a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 52112] -> 7 - 3/a^2 - 3*a^2 + 31*z^2 + (4*z^2)/a^4 - 
   (20*z^2)/a^2 - 12*a^2*z^2 + 56*z^4 + (6*z^4)/a^4 - (35*z^4)/a^2 - 
   19*a^2*z^4 + 53*z^6 + (4*z^6)/a^4 - (29*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52113] -> 3 - a^(-2) - a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52114] -> -6/a^6 + 11/a^4 - 4/a^2 + 
   (3*z^2)/a^8 - (20*z^2)/a^6 + (37*z^2)/a^4 - (13*z^2)/a^2 + (5*z^4)/a^8 - 
   (33*z^4)/a^6 + (59*z^4)/a^4 - (20*z^4)/a^2 + (4*z^6)/a^8 - (28*z^6)/a^6 + 
   (54*z^6)/a^4 - (15*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (28*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 52115] -> 7 - 3/a^2 - 3*a^2 + 25*z^2 + (2*z^2)/a^4 - 
   (14*z^2)/a^2 - 10*a^2*z^2 + 47*z^4 + (5*z^4)/a^4 - (28*z^4)/a^2 - 
   16*a^2*z^4 + 48*z^6 + (4*z^6)/a^4 - (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52116] -> -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - 
   z^2 + z^2/a^10 - (4*z^2)/a^8 + (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   2*z^4 + z^4/a^10 - (7*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 52117] -> -4*a^2 + 11*a^4 - 6*a^6 - 18*a^2*z^2 + 
   44*a^4*z^2 - 19*a^6*z^2 + 4*z^4 - 34*a^2*z^4 + 75*a^4*z^4 - 26*a^6*z^4 + 
   4*z^6 - 31*a^2*z^6 + 68*a^4*z^6 - 19*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 52118] -> -3/a^6 + 5/a^4 - a^(-2) + (6*z^2)/a^8 - 
   (23*z^2)/a^6 + (31*z^2)/a^4 - (10*z^2)/a^2 + (11*z^4)/a^8 - (49*z^4)/a^6 + 
   (64*z^4)/a^4 - (21*z^4)/a^2 + (6*z^6)/a^8 - (41*z^6)/a^6 + (63*z^6)/a^4 - 
   (18*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (33*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 52119] -> -a^(-8) + a^(-6) + a^(-2) + (3*z^2)/a^10 - 
   (6*z^2)/a^8 + z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - 
   (14*z^4)/a^8 + (3*z^4)/a^6 + (14*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^10 - 
   (10*z^6)/a^8 + (7*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + 
   (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 52120] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 - z^2 + 
   (4*z^2)/a^8 - (13*z^2)/a^6 + (16*z^2)/a^4 - (3*z^2)/a^2 - 5*z^4 + 
   (4*z^4)/a^8 - (18*z^4)/a^6 + (16*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (11*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52121] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (4*z^2)/a^4 - z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52122] -> -5 + 2/a^4 + 4*a^2 - 16*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52123] -> 
  -a^(-10) + a^(-8) + a^(-2) - (4*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (16*z^4)/a^8 - (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (8*z^6)/a^6 - 
   (14*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52124] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52125] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - z^2/a^2 + 4*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 52126] -> 1 + z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (2*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + a^2*z^4 - 
   z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 52127] -> -a^(-4) + 2/a^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^4)/a^8 - (16*z^4)/a^6 + (19*z^4)/a^4 - (7*z^4)/a^2 + 
   (4*z^6)/a^8 - (21*z^6)/a^6 + (29*z^6)/a^4 - (9*z^6)/a^2 + z^8/a^8 - 
   (11*z^8)/a^6 + (20*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 52128] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52129] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 52130] -> 
  3 - a^(-2) - a^2 + 17*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 - 7*a^2*z^2 + 
   42*z^4 + (5*z^4)/a^4 - (27*z^4)/a^2 - 15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - 
   (27*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 52131] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (8*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (15*z^4)/a^10 + 
   (18*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (19*z^6)/a^8 + z^6/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52132] -> -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - 6*z^4 + z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 52133] -> -3/a^6 + 5/a^4 - a^(-2) - 
   5*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 + (7*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (8*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52134] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (14*z^4)/a^8 - (8*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (17*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 52135] -> -a^(-10) + 3/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (6*z^4)/a^8 + (8*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (6*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52136] -> 4*a^2 - 5*a^4 + 2*a^6 + z^2 - (3*z^2)/a^2 + 
   13*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 7*z^4 - (5*z^4)/a^2 + 16*a^2*z^4 - 
   19*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 10*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 52137] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 5*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - 
   z^4/a^4 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 52138] -> a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 
   4*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 13*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 13*a^6*z^4 - 21*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 52139] -> -2 + a^(-4) + a^(-2) - a^2 + 2*a^4 - 6*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (3*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 52140] -> a^8 + 3*a^10 - 2*a^12 - a^14 + 4*a^4*z^2 + 
   3*a^8*z^2 + 10*a^10*z^2 - 2*a^14*z^2 + 4*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 
   8*a^10*z^4 + 4*a^12*z^4 - a^14*z^4 + a^4*z^6 - 3*a^6*z^6 - 6*a^8*z^6 + 
   2*a^12*z^6 - a^6*z^8 - 2*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 52141] -> -a^(-4) + 2/a^2 + (3*z^2)/a^8 - 
   (11*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 + (5*z^4)/a^8 - (28*z^4)/a^6 + 
   (40*z^4)/a^4 - (15*z^4)/a^2 + (4*z^6)/a^8 - (27*z^6)/a^6 + (47*z^6)/a^4 - 
   (14*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 52142] -> 1 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   z^2/a^4 + (3*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (5*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 52143] -> a^(-12) - 4/a^10 + 2/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (13*z^2)/a^12 - (18*z^2)/a^10 + (9*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (24*z^4)/a^12 - (30*z^4)/a^10 + (8*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (27*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 52144] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - (25*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52145] -> 
  -1 + a^(-6) - a^2 + 2*a^4 - z^2/a^8 - (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 
   5*z^4 - z^4/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52146] -> 
  2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + 2*z^2 - 2*a^2*z^2 + 6*a^4*z^2 - 
   2*a^6*z^2 - 4*a^8*z^2 + 8*a^10*z^2 - a^12*z^2 + z^4 - 5*a^2*z^4 + 
   2*a^4*z^4 - 3*a^6*z^4 - 8*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 52147] -> 
  -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - 5*z^2 - z^2/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - 4*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 52148] -> 2*a^8 + a^10 - a^12 - a^14 + 2*a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 + 4*a^8*z^2 + 4*a^10*z^2 + 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 - a^4*z^4 - 2*a^6*z^4 - a^8*z^4 + a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 2*a^6*z^6 - 2*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 52149] -> 3 - a^(-2) - a^2 + 23*z^2 + (4*z^2)/a^4 - 
   (17*z^2)/a^2 - 9*a^2*z^2 + 49*z^4 + (8*z^4)/a^4 - (36*z^4)/a^2 - 
   16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (32*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52150] -> 1 + 6*z^2 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 52151] -> 
  -2*a^2 + 7*a^4 - 4*a^6 + 4*z^2 - 23*a^2*z^2 + 40*a^4*z^2 - 16*a^6*z^2 + 
   8*z^4 - 45*a^2*z^4 + 74*a^4*z^4 - 25*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 
   68*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 52152] -> -a^2 + 5*a^4 - 3*a^6 - 6*z^2 + (2*z^2)/a^2 - 
   2*a^2*z^2 + 19*a^4*z^2 - 9*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + a^2*z^4 + 
   26*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52153] -> 1 - a^2 + 3*a^6 - 2*a^8 - z^2 + 
   (2*z^2)/a^2 - 7*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 16*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 52154] -> 7 - 3/a^2 - 3*a^2 + 39*z^2 + 
   (4*z^2)/a^4 - (24*z^2)/a^2 - 16*a^2*z^2 + 74*z^4 + (8*z^4)/a^4 - 
   (45*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 52155] -> 
  5 - 2/a^2 - 2*a^2 + 18*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - 
   9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 
   17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 52156] -> -4/a^6 + 7/a^4 - 2/a^2 + (5*z^2)/a^8 - 
   (25*z^2)/a^6 + (39*z^2)/a^4 - (14*z^2)/a^2 + (8*z^4)/a^8 - (46*z^4)/a^6 + 
   (73*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - 
   (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 52157] -> 1 - 4/a^6 + 8/a^4 - 4/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (19*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (20*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52158] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (4*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (9*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 - z^4/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52159] -> 11 - 5/a^2 - 5*a^2 + 45*z^2 + (6*z^2)/a^4 - 
   (29*z^2)/a^2 - 17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - (49*z^4)/a^2 - 
   25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52160] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (9*z^4)/a^4 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (7*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52161] -> 
  a^2 + a^6 - a^8 + 4*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 - 2*z^4 + 8*a^2*z^4 - 16*a^4*z^4 + 12*a^6*z^4 - 4*a^8*z^4 - 
   2*z^6 + 9*a^2*z^6 - 12*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 52162] -> -a^(-10) - a^(-8) + 7/a^6 - 
   8/a^4 + 4/a^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (15*z^2)/a^6 - (26*z^2)/a^4 + 
   (12*z^2)/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 + (4*z^4)/a^6 - (33*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (7*z^6)/a^6 - (21*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52163] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 + (2*z^2)/a^12 - (4*z^2)/a^10 - 
   (12*z^2)/a^8 + (30*z^2)/a^6 - (9*z^2)/a^4 + (3*z^4)/a^12 - (12*z^4)/a^10 - 
   (2*z^4)/a^8 + (35*z^4)/a^6 - (12*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + 
   (7*z^6)/a^8 + (21*z^6)/a^6 - (6*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (7*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52164] -> -3/a^8 + 4/a^6 + z^2/a^12 - (2*z^2)/a^10 - 
   (4*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (4*z^4)/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + z^6/a^8 + (7*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52165] -> 
  -2/a^10 + a^(-8) + 2/a^6 + (4*z^2)/a^12 - (19*z^2)/a^10 + (24*z^2)/a^8 - 
   z^2/a^6 + (10*z^4)/a^12 - (43*z^4)/a^10 + (58*z^4)/a^8 - (13*z^4)/a^6 + 
   (6*z^6)/a^12 - (39*z^6)/a^10 + (59*z^6)/a^8 - (16*z^6)/a^6 + z^8/a^12 - 
   (15*z^8)/a^10 + (32*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + 
   (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 52166] -> 
  -2/a^10 + 2/a^8 + a^(-4) + (3*z^2)/a^12 - (11*z^2)/a^10 + (11*z^2)/a^8 + 
   (4*z^2)/a^6 + (4*z^4)/a^12 - (16*z^4)/a^10 + (14*z^4)/a^8 + (9*z^4)/a^6 - 
   (4*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + (9*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 52167] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (7*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (11*z^4)/a^10 + 
   (7*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (6*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52168] -> -a^(-10) + a^(-6) + a^(-4) - (7*z^2)/a^10 + 
   (19*z^2)/a^8 - (14*z^2)/a^6 + (8*z^2)/a^4 - (11*z^4)/a^10 + (46*z^4)/a^8 - 
   (49*z^4)/a^6 + (18*z^4)/a^4 - (6*z^6)/a^10 + (40*z^6)/a^8 - (57*z^6)/a^6 + 
   (17*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (32*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 52169] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (17*z^4)/a^8 - (11*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52170] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - 
   (3*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (5*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52171] -> a^4 - 5*a^6 + 12*a^8 - 7*a^10 + 8*a^4*z^2 - 
   25*a^6*z^2 + 47*a^8*z^2 - 18*a^10*z^2 + 18*a^4*z^4 - 55*a^6*z^4 + 
   69*a^8*z^4 - 17*a^10*z^4 + 17*a^4*z^6 - 58*a^6*z^6 + 48*a^8*z^6 - 
   7*a^10*z^6 + 7*a^4*z^8 - 32*a^6*z^8 + 16*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 52172] -> 
  -a^6 + 7*a^8 - 5*a^10 + 2*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 20*a^8*z^2 - 
   8*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 22*a^8*z^4 - 5*a^10*z^4 + 
   4*a^2*z^6 - 9*a^4*z^6 - 9*a^6*z^6 + 11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52173] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 + 2*a^2*z^2 - 
   3*a^4*z^2 + 5*a^6*z^2 + 12*a^8*z^2 - 6*a^10*z^2 + 5*a^2*z^4 - 9*a^4*z^4 + 
   16*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 52174] -> -1 + a^(-2) + a^2 - z^2 + 
   14*z^4 + (2*z^4)/a^4 - (10*z^4)/a^2 - 6*a^2*z^4 + 27*z^6 + (3*z^6)/a^4 - 
   (17*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 52175] -> 
  -2/a^6 + 3/a^4 + z^2/a^8 - (10*z^2)/a^6 + (19*z^2)/a^4 - (7*z^2)/a^2 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (44*z^4)/a^4 - (16*z^4)/a^2 + (4*z^6)/a^8 - 
   (26*z^6)/a^6 + (48*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + 
   (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 52176] -> -3/a^6 + 5/a^4 - a^(-2) + 
   (6*z^2)/a^8 - (27*z^2)/a^6 + (39*z^2)/a^4 - (14*z^2)/a^2 + (11*z^4)/a^8 - 
   (53*z^4)/a^6 + (76*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (42*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 52177] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 - 3*z^2 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (18*z^2)/a^4 - z^2/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (19*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52178] -> 9 - 4/a^2 - 4*a^2 + 48*z^2 + (8*z^2)/a^4 - 
   (34*z^2)/a^2 - 18*a^2*z^2 + 86*z^4 + (12*z^4)/a^4 - (60*z^4)/a^2 - 
   28*a^2*z^4 + 74*z^6 + (6*z^6)/a^4 - (44*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52179] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 
   11*a^2*z^2 - 10*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 
   15*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 52180] -> 2 - a^(-10) + a^(-8) + 2/a^4 - 
   3/a^2 + 5*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - 
   (9*z^2)/a^2 + 4*z^4 - z^4/a^10 + (7*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 - 
   (10*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (4*z^6)/a^6 - (3*z^6)/a^4 - 
   (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52181] -> 
  -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (5*z^2)/a^8 - (2*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + z^4/a^12 - 
   (7*z^4)/a^10 + (6*z^4)/a^8 + z^4/a^6 + (10*z^4)/a^4 - (4*z^4)/a^2 - 
   (2*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + (5*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 52182] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - z^2 + z^2/a^12 - (2*z^2)/a^10 + 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 - z^4 - (2*z^4)/a^10 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + z^6/a^8 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 52183] -> 
  -7 + 4/a^2 + 4*a^2 - 21*z^2 - (3*z^2)/a^6 + z^2/a^4 + (13*z^2)/a^2 + 
   6*a^2*z^2 - 21*z^4 - (6*z^4)/a^6 + (8*z^4)/a^4 + (17*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52184] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 + 3*z^2 - 
   (4*z^2)/a^2 + 13*a^2*z^2 - 17*a^4*z^2 + 5*a^6*z^2 + 10*z^4 - (6*z^4)/a^2 + 
   15*a^2*z^4 - 19*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 52185] -> a^4 - a^8 + 4*a^10 - 3*a^12 + 
   3*a^2*z^2 + 5*a^6*z^2 - 10*a^8*z^2 + 16*a^10*z^2 - 4*a^12*z^2 + 
   4*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 21*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 52186] -> 
  a^4 + 2*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 + a^4*z^2 - a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 - 3*a^6*z^4 - 6*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 52187] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 5*z^4 - (2*z^4)/a^6 + (9*z^4)/a^4 - (9*z^4)/a^2 + 9*z^6 - 
   (3*z^6)/a^6 + (17*z^6)/a^4 - (26*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (10*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 52188] -> -2 + 6*a^2 - 3*a^4 + 6*z^2 - 
   (3*z^2)/a^2 + 24*z^4 - (5*z^4)/a^2 - 27*a^2*z^4 + 11*a^4*z^4 + 26*z^6 - 
   (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 52189] -> -2 - 3/a^4 + 6/a^2 + z^2 + z^2/a^4 + 
   z^2/a^2 + 11*z^4 - (4*z^4)/a^6 + (19*z^4)/a^4 - (27*z^4)/a^2 + 13*z^6 - 
   (4*z^6)/a^6 + (25*z^6)/a^4 - (41*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 52190] -> -2 + 6*a^2 - 3*a^4 - 12*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 8*a^2*z^4 + a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 3*a^2*z^6 + 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52191] -> 
  -2 - 3/a^4 + 6/a^2 - 4*z^2 - z^2/a^8 + (6*z^2)/a^6 - (13*z^2)/a^4 + 
   (15*z^2)/a^2 - (3*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + (9*z^4)/a^2 + 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 - (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 52192] -> -2 + 6*a^2 - 3*a^4 + z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + 19*z^4 - (5*z^4)/a^2 - 16*a^2*z^4 + 7*a^4*z^4 + 
   25*z^6 - (4*z^6)/a^2 - 35*a^2*z^6 + 12*a^4*z^6 + 12*z^8 - z^8/a^2 - 
   25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 52193] -> -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 
   4/a^6 - (6*z^2)/a^14 + (11*z^2)/a^12 + (3*z^2)/a^10 - (14*z^2)/a^8 + 
   (14*z^2)/a^6 - (5*z^4)/a^14 + (21*z^4)/a^12 - (3*z^4)/a^10 - 
   (20*z^4)/a^8 + (16*z^4)/a^6 - z^6/a^14 + (12*z^6)/a^12 - (10*z^6)/a^10 - 
   (17*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^12 - (6*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 52194] -> 
  -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (5*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + (3*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52195] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 2/a^4 - (2*z^2)/a^14 + 
   (3*z^2)/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52196] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 26*z^2 - (4*z^2)/a^6 + (2*z^2)/a^4 + 
   (17*z^2)/a^2 + 8*a^2*z^2 - 27*z^4 - (8*z^4)/a^6 + (11*z^4)/a^4 + 
   (21*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (5*z^6)/a^6 + (13*z^6)/a^4 + 
   (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52197] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - (3*z^2)/a^2 + 19*a^2*z^2 - 22*a^4*z^2 + 
   7*a^6*z^2 + 9*z^4 - (7*z^4)/a^2 + 20*a^2*z^4 - 25*a^4*z^4 + 5*a^6*z^4 + 
   12*z^6 - (5*z^6)/a^2 + 14*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 52198] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 7*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - 
   (2*z^4)/a^4 + a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 52199] -> a^4 - 6*a^6 + 14*a^8 - 8*a^10 + 11*a^4*z^2 - 
   37*a^6*z^2 + 63*a^8*z^2 - 24*a^10*z^2 + 25*a^4*z^4 - 77*a^6*z^4 + 
   92*a^8*z^4 - 22*a^10*z^4 + 22*a^4*z^6 - 76*a^6*z^6 + 60*a^8*z^6 - 
   8*a^10*z^6 + 8*a^4*z^8 - 39*a^6*z^8 + 18*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   10*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 52200] -> 
  -2*a^6 + 9*a^8 - 6*a^10 + 3*a^2*z^2 - 3*a^4*z^2 - 4*a^6*z^2 + 27*a^8*z^2 - 
   11*a^10*z^2 + 7*a^2*z^4 - 10*a^4*z^4 - 10*a^6*z^4 + 29*a^8*z^4 - 
   6*a^10*z^4 + 5*a^2*z^6 - 12*a^4*z^6 - 12*a^6*z^6 + 13*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52201] -> -a^4 + 2*a^6 + 4*a^8 - 4*a^10 + 4*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 + 16*a^8*z^2 - 8*a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 + 
   a^6*z^4 + 21*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 7*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 52202] -> 
  -a^4 + 2*a^6 + 4*a^8 - 4*a^10 + z^2 + a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 + 
   10*a^8*z^2 - 4*a^10*z^2 + 2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 8*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52203] -> 
  -2*a^4 + 6*a^6 - a^8 - 2*a^10 + 3*a^2*z^2 - 8*a^4*z^2 + 12*a^6*z^2 + 
   10*a^8*z^2 - 7*a^10*z^2 + 7*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   19*a^8*z^4 - 5*a^10*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 6*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 52204] -> 
  -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 + z^2 - a^2*z^2 + a^4*z^2 + 6*a^6*z^2 + 
   5*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - a^2*z^4 - 5*a^4*z^4 + 4*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52205] -> 
  2 - a^(-2) + a^2 - a^4 + 20*z^2 - (7*z^2)/a^2 - 16*a^2*z^2 + 5*a^4*z^2 + 
   46*z^4 - (11*z^4)/a^2 - 50*a^2*z^4 + 17*a^4*z^4 + 40*z^6 - (6*z^6)/a^2 - 
   57*a^2*z^6 + 17*a^4*z^6 + 15*z^8 - z^8/a^2 - 32*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 52206] -> 
  3 - a^(-2) - a^2 + 9*z^2 - (2*z^2)/a^4 + z^2/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (9*z^4)/a^2 - 19*a^2*z^4 + 8*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52207] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 5*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 
   4*a^4*z^2 - (3*z^4)/a^4 + (10*z^4)/a^2 - 14*a^2*z^4 + 6*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52208] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 11*z^2 - (6*z^2)/a^6 + (24*z^2)/a^4 - 
   (29*z^2)/a^2 + 21*z^4 - (11*z^4)/a^6 + (49*z^4)/a^4 - (64*z^4)/a^2 + 
   18*z^6 - (6*z^6)/a^6 + (41*z^6)/a^4 - (63*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 52209] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   8*z^2 - z^2/a^8 + z^2/a^6 + (10*z^2)/a^4 - (19*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 + (5*z^4)/a^4 - (25*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 52210] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (7*z^2)/a^10 + (27*z^2)/a^8 - (34*z^2)/a^6 + (16*z^2)/a^4 - 
   (11*z^4)/a^10 + (51*z^4)/a^8 - (67*z^4)/a^6 + (23*z^4)/a^4 - 
   (6*z^6)/a^10 + (41*z^6)/a^8 - (64*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 52211] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (11*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (15*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52212] -> -a^(-14) + 5/a^12 - 11/a^10 + 8/a^8 - 
   (10*z^2)/a^14 + (33*z^2)/a^12 - (47*z^2)/a^10 + (32*z^2)/a^8 - 
   (15*z^4)/a^14 + (65*z^4)/a^12 - (83*z^4)/a^10 + (46*z^4)/a^8 - 
   (7*z^6)/a^14 + (51*z^6)/a^12 - (77*z^6)/a^10 + (30*z^6)/a^8 - z^8/a^14 + 
   (17*z^8)/a^12 - (39*z^8)/a^10 + (9*z^8)/a^8 + (2*z^10)/a^12 - 
   (10*z^10)/a^10 + z^10/a^8 - z^12/a^10, Knot[15, Alternating, 52213] -> 
  -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - (6*z^2)/a^14 + (17*z^2)/a^12 - 
   (17*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (23*z^4)/a^12 - 
   (17*z^4)/a^10 - (5*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (12*z^6)/a^12 - 
   (13*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (6*z^8)/a^10 - 
   (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 52214] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (4*z^2)/a^14 + (10*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (16*z^4)/a^12 - (6*z^4)/a^10 - (13*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 52215] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - (6*z^2)/a^14 + 
   (14*z^2)/a^12 - (4*z^2)/a^10 - (11*z^2)/a^8 + (14*z^2)/a^6 - 
   (5*z^4)/a^14 + (22*z^4)/a^12 - (8*z^4)/a^10 - (19*z^4)/a^8 + 
   (16*z^4)/a^6 - z^6/a^14 + (12*z^6)/a^12 - (11*z^6)/a^10 - (17*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^8)/a^12 - (6*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 52216] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + 
   (6*z^2)/a^12 + (2*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - (10*z^4)/a^8 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52217] -> 
  -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 2/a^4 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 + (2*z^2)/a^10 - (4*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (3*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52218] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 4*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 6*z^4 - (4*z^4)/a^6 + (9*z^4)/a^4 + 
   z^4/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52219] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 6*z^2 - 
   (3*z^2)/a^2 - 4*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 8*z^4 - 
   (4*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 + 5*z^6 - 
   z^6/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 52220] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^4 - 
   3*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^6*z^4 + 
   2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 52221] -> 
  a^4 - a^6 + 5*a^10 - 4*a^12 + 10*a^4*z^2 - 11*a^6*z^2 - a^8*z^2 + 
   24*a^10*z^2 - 10*a^12*z^2 + 15*a^4*z^4 - 25*a^6*z^4 - 10*a^8*z^4 + 
   31*a^10*z^4 - 6*a^12*z^4 + 7*a^4*z^6 - 22*a^6*z^6 - 15*a^8*z^6 + 
   14*a^10*z^6 - a^12*z^6 + a^4*z^8 - 8*a^6*z^8 - 7*a^8*z^8 + 2*a^10*z^8 - 
   a^6*z^10 - a^8*z^10, Knot[15, Alternating, 52222] -> 
  a^4 - a^6 + a^8 + 3*a^10 - 3*a^12 + 3*a^2*z^2 + 3*a^4*z^2 - 7*a^6*z^2 + 
   6*a^8*z^2 + 10*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 2*a^4*z^4 - 
   14*a^6*z^4 + 2*a^8*z^4 + 9*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 
   10*a^6*z^6 - 3*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 52223] -> a^4 - a^6 + 2*a^8 + a^10 - 2*a^12 + 
   4*a^2*z^2 - 5*a^6*z^2 + 8*a^8*z^2 + 6*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 
   4*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 
   4*a^4*z^6 - 9*a^6*z^6 - 2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - 
   a^8*z^8, Knot[15, Alternating, 52224] -> a^4 - a^6 + 2*a^8 + a^10 - 
   2*a^12 + z^2 + 3*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 6*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 6*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 
   3*a^4*z^6 - 3*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 52225] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + 3*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 
   9*a^8*z^2 + 4*a^10*z^2 - 3*a^12*z^2 + 4*a^2*z^4 - 3*a^4*z^4 - 11*a^6*z^4 + 
   5*a^8*z^4 + 7*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 9*a^6*z^6 - 
   2*a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 52226] -> a^4 + a^8 - a^12 + z^2 + 2*a^2*z^2 - 
   a^4*z^2 + 5*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - 5*a^4*z^4 - 
   4*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 52227] -> -a^(-4) + 2/a^2 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 6*z^4 - (5*z^4)/a^6 + (18*z^4)/a^4 - 
   (17*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (22*z^6)/a^4 - (28*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 52228] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^10 + (10*z^2)/a^8 - (10*z^2)/a^6 + 
   (8*z^2)/a^4 - (7*z^4)/a^10 + (30*z^4)/a^8 - (37*z^4)/a^6 + (14*z^4)/a^4 - 
   (5*z^6)/a^10 + (30*z^6)/a^8 - (44*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + 
   (13*z^8)/a^8 - (26*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 52229] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (7*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 - z^4/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52230] -> 
  -1 + 4*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 
   4*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52231] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - 2*z^2 + 4*a^2*z^2 - 2*a^4*z^2 + 9*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 7*a^2*z^4 - 6*a^4*z^4 + 15*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 52232] -> -a^(-4) + 2/a^2 + 4*z^2 - (4*z^2)/a^6 + 
   (12*z^2)/a^4 - (11*z^2)/a^2 + 12*z^4 - (8*z^4)/a^6 + (32*z^4)/a^4 - 
   (36*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - (43*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 52233] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 + 
   6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52234] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 3*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 5*z^4 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 52235] -> 
  -6 + a^(-4) + 10*a^2 - 4*a^4 - 19*z^2 + (5*z^2)/a^4 - (4*z^2)/a^2 + 
   27*a^2*z^2 - 8*a^4*z^2 - 22*z^4 + (8*z^4)/a^4 - (12*z^4)/a^2 + 
   27*a^2*z^4 - 5*a^4*z^4 - 15*z^6 + (5*z^6)/a^4 - (13*z^6)/a^2 + 
   12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 52236] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 
   2*a^4 - 2*z^2 + z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 
   3*a^4*z^2 - z^4 + (2*z^4)/a^6 - (10*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   2*z^6 + z^6/a^6 - (2*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 52237] -> 
  3/a^16 - 11/a^14 + 8/a^12 + a^(-10) + (3*z^2)/a^16 - (36*z^2)/a^14 + 
   (42*z^2)/a^12 + (8*z^2)/a^10 - (5*z^4)/a^16 - (31*z^4)/a^14 + 
   (77*z^4)/a^12 + (18*z^4)/a^10 - (5*z^6)/a^16 - (4*z^6)/a^14 + 
   (63*z^6)/a^12 + (17*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (23*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 52238] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 - 
   (16*z^2)/a^14 + (13*z^2)/a^12 + (17*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^4)/a^16 - (9*z^4)/a^14 + (25*z^4)/a^12 + (29*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (18*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52239] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - 
   (10*z^2)/a^14 + z^2/a^12 + (22*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (8*z^4)/a^14 + (15*z^4)/a^12 + (32*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + 
   (15*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52240] -> 
  a^(-4) - a^(-2) - a^2 + 4*a^4 - 2*a^6 + z^2 + (4*z^2)/a^4 - (7*z^2)/a^2 - 
   5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 
   6*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 52241] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - z^2 + 
   z^2/a^6 - (3*z^2)/a^2 + 3*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 52242] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 3*z^2 + 
   5*a^2*z^2 - 2*a^4*z^2 + 13*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 
   11*a^2*z^4 - 9*a^4*z^4 + 20*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 9*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 52243] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - z^2/a^2 + 2*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - 
   5*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 2*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - 
   3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 52244] -> -3 - 2/a^6 + 6/a^2 - 9*z^2 + (3*z^2)/a^8 - 
   (11*z^2)/a^6 + (6*z^2)/a^4 + (17*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - 
   (16*z^4)/a^6 + (12*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52245] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (4*z^2)/a^2 - a^2*z^2 + 
   2*z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52246] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   6*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + z^4/a^2 - 4*a^2*z^4 + 
   15*a^4*z^4 - 6*a^6*z^4 - 5*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52247] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (11*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52248] -> -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 - 
   (2*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   z^4/a^8 + (4*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52249] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + (3*z^2)/a^16 - (22*z^2)/a^14 + 
   (12*z^2)/a^12 + (21*z^2)/a^10 - z^4/a^16 - (20*z^4)/a^14 + (32*z^4)/a^12 + 
   (33*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (25*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 52250] -> -6 + a^(-6) - a^(-4) + 3/a^2 + 
   4*a^2 - 17*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 
   4*a^2*z^2 - 13*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 + 
   (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 52251] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   5*z^2 - z^2/a^4 + z^2/a^2 + 13*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 7*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 52252] -> 
  5*a^8 - 4*a^10 + 4*a^2*z^2 - 6*a^4*z^2 + 4*a^6*z^2 + 14*a^8*z^2 - 
   6*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52253] -> 11 - 5/a^2 - 5*a^2 + 37*z^2 + (2*z^2)/a^4 - 
   (19*z^2)/a^2 - 15*a^2*z^2 + 60*z^4 + (5*z^4)/a^4 - (32*z^4)/a^2 - 
   20*a^2*z^4 + 54*z^6 + (4*z^6)/a^4 - (28*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52254] -> -4/a^6 + 7/a^4 - 2/a^2 + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (35*z^2)/a^4 - (12*z^2)/a^2 + (8*z^4)/a^8 - 
   (41*z^4)/a^6 + (61*z^4)/a^4 - (20*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + 
   (55*z^6)/a^4 - (15*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (28*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 52255] -> 4 - a^(-4) - 2*a^2 + 2*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - a^4*z^2 - 6*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (13*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52256] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - 2*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52257] -> 
  11 - 5/a^2 - 5*a^2 + 49*z^2 + (6*z^2)/a^4 - (31*z^2)/a^2 - 19*a^2*z^2 + 
   84*z^4 + (9*z^4)/a^4 - (52*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - 
   (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 52258] -> 
  1 + a^(-6) - a^(-2) - 2*a^2 + 2*a^4 + 3*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52259] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 2*z^2 - z^2/a^4 + z^2/a^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   2*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 52260] -> -a^(-14) + 4/a^12 - 8/a^10 + 
   5/a^8 + a^(-6) - (4*z^2)/a^14 + (11*z^2)/a^12 - (15*z^2)/a^10 + 
   (11*z^2)/a^8 + (5*z^2)/a^6 - (4*z^4)/a^14 + (16*z^4)/a^12 - 
   (12*z^4)/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - 
   (9*z^6)/a^10 - (6*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 52261] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 - (4*z^2)/a^10 + (7*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 - (3*z^4)/a^8 + (4*z^4)/a^6 + (2*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (5*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52262] -> 
  a^4 + a^6 - 3*a^8 + 5*a^10 - 3*a^12 + 4*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - 
   13*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 4*a^2*z^4 - 11*a^4*z^4 + 
   10*a^6*z^4 - 23*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 
   9*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + 
   a^6*z^10, Knot[15, Alternating, 52263] -> 2*a^4 - 2*a^6 + a^8 + 2*a^10 - 
   2*a^12 + 2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - a^4*z^4 - 5*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 52264] -> 
  1 + 2/a^4 - 2/a^2 - 2*a^2 + 2*a^4 + 3*z^2 - (2*z^2)/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (2*z^4)/a^4 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52265] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 5*z^2 - z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - 
   z^8 - a^2*z^8, Knot[15, Alternating, 52266] -> 
  a^8 + 4*a^10 - 4*a^12 + 2*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 + 16*a^10*z^2 - 
   4*a^12*z^2 - 2*a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 9*a^8*z^4 + 
   15*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 
   2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 52267] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - z^4/a^6 + (10*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (5*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52268] -> -1 + 4*a^2 - 2*a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + 
   5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 52269] -> -2 - 3/a^4 + 6/a^2 - 2*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (8*z^2)/a^2 - z^4 - z^4/a^8 + (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 52270] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 - z^4/a^6 + (4*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 + 
   a^4*z^4 - 6*z^6 + (2*z^6)/a^4 - z^6/a^2 - a^2*z^6 + a^4*z^6 - 2*z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 52271] -> 
  1 - 2/a^4 + 3/a^2 - a^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^6 - (15*z^4)/a^4 + 
   (14*z^4)/a^2 + a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52272] -> -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 
   2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (2*z^2)/a^8 + 
   (3*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (3*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 52273] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 
   4*a^2 - 13*z^2 - (2*z^2)/a^8 - (2*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + z^4/a^6 + (14*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + 
   z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 52274] -> 
  -a^2 + 3*a^4 - 3*a^6 + 6*a^8 - 4*a^10 + 2*z^2 - 4*a^2*z^2 + 8*a^4*z^2 - 
   5*a^6*z^2 + 13*a^8*z^2 - 4*a^10*z^2 + 3*z^4 - 6*a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 + 9*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 
   4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 52275] -> 2 - 2*a^2 + a^4 + 5*z^2 - z^2/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 3*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 52276] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (8*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 - (2*z^6)/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52277] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-8) + 
   2/a^4 - z^2/a^14 + (2*z^2)/a^12 + (2*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (2*z^4)/a^12 + (2*z^4)/a^10 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 52278] -> a^(-4) - 2*a^2 + 2*a^4 - 2*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^4 - 5*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 52279] -> 
  a^4 + 2*a^10 - 2*a^12 + 2*z^2 + a^4*z^2 + 2*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 - 4*a^6*z^4 - a^8*z^4 + 
   2*a^10*z^4 - a^2*z^6 - 2*a^4*z^6 - 2*a^6*z^6 - a^8*z^6, 
 Knot[15, Alternating, 52280] -> -1 - 2/a^4 + 4/a^2 + 2*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (5*z^2)/a^2 + 11*z^4 - (8*z^4)/a^6 + (30*z^4)/a^4 - 
   (32*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - (42*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 52281] -> 
  -a^(-4) + 2/a^2 - 4*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   10*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52282] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (4*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52283] -> 
  -2 - 3/a^4 + 6/a^2 - z^2 - z^2/a^4 + (5*z^2)/a^2 + 6*z^4 - (4*z^4)/a^6 + 
   (14*z^4)/a^4 - (15*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (21*z^6)/a^4 - 
   (28*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 52284] -> 
  a^2 + a^4 - 2*a^8 + a^10 - z^2 + a^2*z^2 + 2*a^4*z^2 + 5*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 5*a^2*z^4 - 3*a^4*z^4 + 13*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 5*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 52285] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   3*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + a^4*z^6 + 
   3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 52286] -> 
  -2 + 6*a^2 - 3*a^4 + 3*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 + 22*z^4 - 
   (5*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 
   40*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 52287] -> 
  3/a^16 - 10/a^14 + 6/a^12 + 2/a^10 + z^2/a^16 - (29*z^2)/a^14 + 
   (33*z^2)/a^12 + (11*z^2)/a^10 - (6*z^4)/a^16 - (24*z^4)/a^14 + 
   (67*z^4)/a^12 + (21*z^4)/a^10 - (5*z^6)/a^16 - (2*z^6)/a^14 + 
   (58*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (22*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 52288] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 - 
   z^2/a^16 - (13*z^2)/a^14 + (9*z^2)/a^12 + (18*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^4)/a^16 - (7*z^4)/a^14 + (22*z^4)/a^12 + (30*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (17*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52289] -> 1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 17*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 13*a^2*z^4 - 24*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52290] -> 
  -2 + 2/a^2 + 2*a^2 - 3*a^4 + 2*a^6 - 12*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52291] -> 4*a^2 - 5*a^4 + 2*a^6 - 5*z^2 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 15*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 + 23*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 52292] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 - 2*z^2 + 3*a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 
   10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 7*a^2*z^4 - 5*a^4*z^4 + 15*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 52293] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 + 3*a^2*z^2 - 
   3*a^4*z^2 + 8*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 
   9*a^4*z^4 + 15*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 
   8*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 52294] -> a^(-2) - a^4 + a^6 - 4*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 6*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 7*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 52295] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 2*z^2 - 11*a^2*z^2 + 16*a^4*z^2 - 6*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 7*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52296] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 5*z^2 + z^2/a^2 + 2*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - 4*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 
   2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 52297] -> 
  -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + (3*z^2)/a^12 - (12*z^2)/a^10 + 
   (7*z^2)/a^8 + (15*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (23*z^4)/a^10 + 
   (25*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (26*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52298] -> -a^(-10) - a^(-8) + 3/a^6 + (2*z^2)/a^12 - 
   (6*z^2)/a^10 + z^2/a^8 + (11*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (4*z^4)/a^8 + (14*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52299] -> 
  -a^(-14) + 2/a^12 - 4/a^10 + 3/a^8 + a^(-6) - (4*z^2)/a^14 + 
   (12*z^2)/a^12 - (15*z^2)/a^10 + (12*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^14 + (23*z^4)/a^12 - (27*z^4)/a^10 + (11*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 52300] -> 
  -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (2*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (4*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52301] -> 
  -a^(-10) - a^(-8) + 4/a^6 - 2/a^4 + a^(-2) - (4*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (23*z^4)/a^8 - 
   (19*z^4)/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (25*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52302] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52303] -> 
  2 + a^(-4) - 2/a^2 + 6*z^2 - (4*z^2)/a^2 - 3*a^2*z^2 + 10*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 - 4*a^2*z^4 + 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (3*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 52304] -> 
  2 + a^(-4) - 2/a^2 - 3*z^2 - z^2/a^4 + z^2/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 
   10*z^4 + z^4/a^6 - (4*z^4)/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 
   10*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 52305] -> 
  2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 + (2*z^2)/a^16 - (24*z^2)/a^14 + 
   (23*z^2)/a^12 + (15*z^2)/a^10 + z^2/a^8 - (2*z^4)/a^16 - (17*z^4)/a^14 + 
   (37*z^4)/a^12 + (28*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 - z^6/a^14 + 
   (24*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52306] -> 
  a^(-16) - 4/a^14 + 4/a^10 - (9*z^2)/a^14 + (3*z^2)/a^12 + (17*z^2)/a^10 + 
   (5*z^2)/a^8 - z^4/a^16 - (4*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52307] -> 
  -5 + 3/a^2 + 3*a^2 - 15*z^2 - (3*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52308] -> a^4 + a^6 - a^8 + a^10 - a^12 + 2*z^2 - 
   a^2*z^2 + 3*a^4*z^2 - a^8*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - 
   3*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + 
   a^4*z^8 + a^6*z^8, Knot[15, Alternating, 52309] -> 
  2*a^2 - a^4 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52310] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + (8*z^2)/a^6 - (6*z^2)/a^4 + 
   (4*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52311] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^2)/a^4 + 2*z^4 - z^4/a^10 + z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52312] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - z^2/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + 
   (7*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + 
   (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52313] -> -a^(-14) + a^(-12) - a^(-8) + a^(-6) + 
   a^(-4) - (3*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 + z^2/a^8 + z^2/a^6 + 
   (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - (2*z^4)/a^8 - 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52314] -> -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - 
   z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 - (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 52315] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (6*z^4)/a^6 + 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52316] -> 
  -a^(-14) + 3/a^12 - 5/a^10 + 2/a^8 + 2/a^6 - (6*z^2)/a^14 + (18*z^2)/a^12 - 
   (18*z^2)/a^10 + (5*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (30*z^4)/a^12 - 
   (32*z^4)/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (30*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 52317] -> -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 
   4/a^6 - (3*z^2)/a^14 + (8*z^2)/a^12 - (2*z^2)/a^10 - (7*z^2)/a^8 + 
   (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - 
   (12*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52318] -> -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 
   2/a^6 + a^(-4) - (3*z^2)/a^14 + (7*z^2)/a^12 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (2*z^4)/a^10 - (14*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52319] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 2/a^4 - z^2/a^14 + (3*z^2)/a^12 + 
   (3*z^2)/a^10 - (4*z^2)/a^8 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   z^4/a^10 - (7*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 52320] -> 1 + a^(-4) - a^(-2) - a^2 + a^4 + 2*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52321] -> a^4 + 3*a^6 - 4*a^8 + a^10 - 4*z^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 15*a^6*z^2 - 11*a^8*z^2 + 2*a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 13*a^4*z^4 + 21*a^6*z^4 - 10*a^8*z^4 + a^10*z^4 - z^6 + 
   9*a^2*z^6 - 11*a^4*z^6 + 13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 52322] -> 
  -1 - a^(-6) + 3/a^2 - 7*z^2 + z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - z^4/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52323] -> -a^(-8) + 2/a^4 - z^2/a^10 + (2*z^2)/a^8 + 
   z^2/a^6 + (2*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 - (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52324] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 - z^2/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   (7*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - (12*z^4)/a^2 + 
   4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 52325] -> -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 52326] -> -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (2*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52327] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 - 
   z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 - 
   (4*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 52328] -> 
  a^(-12) - 5/a^10 + 4/a^8 + a^(-6) - (3*z^2)/a^14 + (10*z^2)/a^12 - 
   (17*z^2)/a^10 + (13*z^2)/a^8 + (5*z^2)/a^6 - (4*z^4)/a^14 + 
   (22*z^4)/a^12 - (28*z^4)/a^10 + (11*z^4)/a^8 + (8*z^4)/a^6 - z^6/a^14 + 
   (15*z^6)/a^12 - (26*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - 
   (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 52329] -> -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (3*z^2)/a^10 - (3*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - (8*z^4)/a^8 + (7*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52330] -> 
  2/a^16 - 7/a^14 + 4/a^12 + a^(-10) + a^(-8) - (18*z^2)/a^14 + 
   (20*z^2)/a^12 + (8*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^16 - 
   (10*z^4)/a^14 + (32*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (20*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52331] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - z^2/a^16 - (7*z^2)/a^14 + 
   (3*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (10*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52332] -> 1 + a^2 - 2*a^4 + 2*a^8 - a^10 - 2*z^2 + 
   (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 - 3*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 - 
   5*z^4 + z^4/a^2 + a^2*z^4 - 3*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 52333] -> -1 + 2/a^2 - a^2 + a^4 - a^6 + a^8 - 5*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 
   3*z^4 - z^4/a^4 + (5*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 52334] -> -3/a^8 + 4/a^6 + z^2/a^12 - (6*z^2)/a^10 + 
   (4*z^2)/a^8 + (8*z^2)/a^6 - z^2/a^4 + (3*z^4)/a^12 - (16*z^4)/a^10 + 
   (20*z^4)/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (22*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52335] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (4*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 + z^4/a^12 - (6*z^4)/a^10 + 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52336] -> 2*a^4 + a^6 - 3*a^8 + a^10 + 3*z^2 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 + 5*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 
   5*z^4 - z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 7*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 52337] -> 1 + a^2 - a^4 - a^6 + a^8 - (2*z^2)/a^4 + 
   z^2/a^2 + 3*a^2*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + (4*z^4)/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - 
   a^2*z^8, Knot[15, Alternating, 52338] -> -2 + a^(-4) + a^(-2) + a^6 - 
   2*z^2 - (2*z^2)/a^6 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 
   2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 52339] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 6*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (15*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52340] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 9*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + 11*a^4*z^2 - 
   7*a^6*z^2 - 14*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 + 19*a^4*z^4 - 9*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52341] -> -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 3*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 + 10*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 
   6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 52342] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 18*z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + z^2/a^2 - 9*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - 
   (15*z^4)/a^4 + (8*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 52343] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - z^2/a^8 + z^2/a^6 - 
   z^2/a^2 - z^4 + z^4/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   z^4/a^2 - z^6 - (2*z^6)/a^8 + (4*z^6)/a^4 + z^6/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 52344] -> 
  -2/a^10 + 2/a^8 + a^(-4) + (2*z^2)/a^12 - (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (4*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (11*z^4)/a^10 + (9*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (7*z^6)/a^8 + 
   (6*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 52345] -> 
  5 - 2/a^2 - 2*a^2 + 6*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 
   a^4*z^2 - 3*z^4 + z^4/a^6 - (8*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 7*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 52346] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 2*z^2 - z^2/a^4 + z^2/a^2 + 5*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 52347] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 11*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52348] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (8*z^2)/a^6 + (3*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - (12*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (9*z^6)/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52349] -> 
  a^6 + 3*a^8 - 3*a^10 + 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 14*a^8*z^2 - 
   6*a^10*z^2 + 4*a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 
   3*a^2*z^6 - 7*a^4*z^6 - 7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52350] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   (4*z^2)/a^16 - (28*z^2)/a^14 + (21*z^2)/a^12 + (18*z^2)/a^10 - z^4/a^16 - 
   (22*z^4)/a^14 + (37*z^4)/a^12 + (32*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - 
   (3*z^6)/a^14 + (26*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52351] -> 
  2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + z^2/a^16 - (12*z^2)/a^14 + 
   (2*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + 
   (11*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52352] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (2*z^2)/a^16 - (16*z^2)/a^14 + (6*z^2)/a^12 + (19*z^2)/a^10 + 
   (3*z^2)/a^8 - z^4/a^16 - (9*z^4)/a^14 + (16*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (9*z^6)/a^12 + (11*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52353] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (17*z^2)/a^14 + 
   (13*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (13*z^4)/a^14 + (28*z^4)/a^12 + (24*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (21*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52354] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 - 4*a^4*z^2 + 13*a^6*z^2 + 6*a^8*z^2 - 
   13*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 18*a^6*z^4 + 11*a^8*z^4 - 
   12*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 13*a^6*z^6 + 9*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 52355] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (2*z^4)/a^6 - (16*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52356] -> a^4 - 2*a^6 + 6*a^8 - 4*a^10 + 3*a^2*z^2 - 
   2*a^4*z^2 - 2*a^6*z^2 + 16*a^8*z^2 - 6*a^10*z^2 + 4*a^2*z^4 - 7*a^4*z^4 - 
   6*a^6*z^4 + 17*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 7*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 52357] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 11*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 52358] -> 4 - a^(-4) - 2*a^2 + 18*z^2 + (4*z^2)/a^6 - 
   (10*z^2)/a^4 - 9*a^2*z^2 + 24*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + 
   (6*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 52359] -> 3 - a^(-2) - a^2 + 2*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 + a^2*z^2 - a^4*z^2 - z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + 3*a^2*z^4 - a^4*z^4 - z^6 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - 
   z^8/a^2, Knot[15, Alternating, 52360] -> 1 + a^(-2) - 2*a^2 + a^4 - a^6 + 
   a^8 - z^2 - z^2/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 
   a^8*z^2 - z^4 - z^4/a^4 + (3*z^4)/a^2 + a^2*z^4 + 4*a^4*z^4 - 3*a^6*z^4 - 
   z^6 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 52361] -> 2*a^4 - a^6 + a^10 - a^12 + z^2 + 
   2*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - 4*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   z^4 - a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 52362] -> 11 - 5/a^2 - 5*a^2 + 49*z^2 + (2*z^2)/a^4 - 
   (25*z^2)/a^2 - 21*a^2*z^2 + 84*z^4 + (5*z^4)/a^4 - (41*z^4)/a^2 - 
   29*a^2*z^4 + 73*z^6 + (4*z^6)/a^4 - (33*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52363] -> 6 - 3/a^2 - a^2 - a^4 + 12*z^2 - 
   (8*z^2)/a^2 + 7*a^2*z^2 - 7*a^4*z^2 + 15*z^4 + (2*z^4)/a^4 - 
   (11*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 11*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 52364] -> 
  -1 - 4/a^6 + 6/a^4 - 5*z^2 + (2*z^2)/a^8 - (10*z^2)/a^6 + (13*z^2)/a^4 + 
   (6*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + (13*z^4)/a^4 + 
   (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (9*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 52365] -> 1 + a^2 - a^4 - a^6 + a^8 - 
   3*z^2 - z^2/a^4 + z^2/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 - 
   6*z^4 - z^4/a^4 + (5*z^4)/a^2 + 8*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 
   5*z^6 + (3*z^6)/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 2*z^8 - a^2*z^8, 
 Knot[15, Alternating, 52366] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   z^2/a^8 - z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52367] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 4*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (10*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (9*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52368] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (10*z^2)/a^14 + (6*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (8*z^4)/a^14 + (19*z^4)/a^12 + (19*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52369] -> -a^(-14) + a^(-8) + a^(-6) - z^2/a^16 - 
   (4*z^2)/a^14 + (5*z^2)/a^12 + (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 - z^4/a^14 + (9*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 52370] -> -1 - a^(-6) + 3/a^2 + z^2/a^10 - 
   z^2/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (3*z^4)/a^8 + z^4/a^6 + (2*z^4)/a^4 + z^4/a^2 - a^2*z^4 + 2*z^6 + 
   (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52371] -> 
  a^4 + 4*a^8 - 6*a^10 + 2*a^12 - a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 
   15*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 + 6*a^6*z^4 + 
   18*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 8*a^6*z^6 + 
   11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 52372] -> -3 + 2/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 8*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 52373] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + z^2/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 
   3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 8*a^2*z^4 - 4*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - z^6 + z^6/a^2 - 9*a^2*z^6 - 5*a^4*z^6 + 3*a^6*z^6 - z^8 - 
   3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 52374] -> 
  2*a^4 - 3*a^8 + 4*a^10 - 2*a^12 + z^2 + a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 
   9*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 
   4*a^6*z^4 - 12*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 4*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 52375] -> 
  2 - a^2 - a^6 + a^8 + 4*z^2 - z^2/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 
   4*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 + 4*a^4*z^4 - 
   3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 52376] -> 2*a^8 + 2*a^10 - 3*a^12 + a^2*z^2 + 
   2*a^4*z^2 + 2*a^6*z^2 + 2*a^8*z^2 + 9*a^10*z^2 - 2*a^12*z^2 - a^14*z^2 + 
   a^2*z^4 + a^4*z^4 - a^6*z^4 - 3*a^8*z^4 + 6*a^10*z^4 + 2*a^12*z^4 - 
   a^4*z^6 - 3*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 52377] -> -3 + 2/a^4 - a^(-2) + 3*a^2 - 12*z^2 - 
   z^2/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - (5*z^4)/a^6 + 
   (9*z^4)/a^4 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52378] -> 
  5 - 2/a^2 - 2*a^2 + 21*z^2 + (3*z^2)/a^4 - (14*z^2)/a^2 - 8*a^2*z^2 + 
   44*z^4 + (6*z^4)/a^4 - (30*z^4)/a^2 - 15*a^2*z^4 + 47*z^6 + (4*z^6)/a^4 - 
   (28*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 52379] -> 
  1 - 2*a^4 + 4*a^6 - 2*a^8 + (2*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (3*z^4)/a^2 + a^2*z^4 - 15*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 52380] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 + z^2 + 
   z^2/a^4 - 6*a^2*z^2 + 2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 52381] -> 
  -2 + 2/a^4 - a^(-2) + a^2 + a^4 - 6*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   z^4/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 52382] -> 
  2 - a^(-2) + a^2 - a^4 + 6*z^2 + (2*z^2)/a^4 - (9*z^2)/a^2 + 10*a^2*z^2 - 
   7*a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - (14*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 52383] -> 2*a^2 - a^4 + 6*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 52384] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^12 - (3*z^2)/a^10 + (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 + z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 - (2*z^6)/a^10 + 
   (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52385] -> -1 + 3*a^2 - a^6 - 8*z^2 + (2*z^2)/a^2 + 
   8*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 
   12*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52386] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   8*a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 52387] -> 
  2 - a^(-10) - a^(-8) + 6/a^6 - 4/a^4 - a^(-2) + 5*z^2 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - 
   z^4/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 - (15*z^4)/a^4 - (6*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (9*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52388] -> 
  -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (8*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - (6*z^4)/a^10 + 
   (6*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 52389] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) + z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 - (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4 - 
   (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52390] -> 
  -a^2 + 3*a^4 - 2*a^6 + 4*a^8 - 3*a^10 + z^2 - 2*a^2*z^2 + 7*a^4*z^2 - 
   4*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 4*a^2*z^4 + 3*a^4*z^4 - 
   5*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52391] -> 
  -1 - 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + 
   (9*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (10*z^4)/a^6 + (8*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 52392] -> -a^(-10) + a^(-8) + 2/a^4 - 
   2/a^2 + a^2 - z^2 - z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^2 + 
   2*a^2*z^2 - 2*z^4 + (2*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 + 
   a^2*z^4 - z^6 - z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 52393] -> 3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 5*z^2 - 
   (2*z^2)/a^4 + 2*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 52394] -> -1 - 2/a^4 + 4/a^2 - 5*z^2 - z^2/a^6 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (2*z^4)/a^6 + 
   (9*z^4)/a^4 - (5*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 52395] -> 
  -1 - 2/a^4 + 4/a^2 - z^2/a^8 + (4*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 52396] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + a^(-6) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^2 + (2*z^4)/a^12 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 52397] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^6 + (2*z^2)/a^2 - 8*a^2*z^2 + 
   3*a^4*z^2 - 2*z^4 - z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 3*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 52398] -> -a^(-14) + 3/a^12 - 4/a^10 + 
   2/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + (9*z^2)/a^12 - (9*z^2)/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (7*z^4)/a^10 + (3*z^4)/a^8 - (5*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   (4*z^6)/a^10 - (2*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - 
   z^8/a^6, Knot[15, Alternating, 52399] -> -a^(-14) + 2/a^12 - a^(-10) - 
   a^(-8) + a^(-6) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^2 + (2*z^4)/a^12 - (2*z^4)/a^8 - (2*z^4)/a^6 - z^4/a^4 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 52400] -> -a^(-8) + 2/a^4 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 - (3*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (4*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52401] -> -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52402] -> a^2 + a^4 - 2*a^8 + a^10 + z^2 - z^2/a^2 + 
   3*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 3*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 52403] -> a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 - 
   z^2/a^16 - (6*z^2)/a^14 + (6*z^2)/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - z^4/a^14 + (9*z^4)/a^12 + (11*z^4)/a^10 + 
   (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52404] -> 
  -1 + 4*a^2 - 2*a^4 - z^2 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52405] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (3*z^2)/a^16 - (24*z^2)/a^14 + 
   (15*z^2)/a^12 + (20*z^2)/a^10 - z^4/a^16 - (20*z^4)/a^14 + (33*z^4)/a^12 + 
   (33*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (25*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 52406] -> 4/a^16 - 11/a^14 + 5/a^12 + 
   3/a^10 + (2*z^2)/a^16 - (27*z^2)/a^14 + (23*z^2)/a^12 + (16*z^2)/a^10 - 
   (6*z^4)/a^16 - (17*z^4)/a^14 + (46*z^4)/a^12 + (29*z^4)/a^10 - 
   (5*z^6)/a^16 + (3*z^6)/a^14 + (40*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + 
   (5*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 52407] -> 2/a^16 - 4/a^14 - 3/a^12 + 
   6/a^10 - (12*z^2)/a^14 + (3*z^2)/a^12 + (19*z^2)/a^10 + (3*z^2)/a^8 - 
   (3*z^4)/a^16 - (6*z^4)/a^14 + (17*z^4)/a^12 + (27*z^4)/a^10 + 
   (7*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (14*z^6)/a^12 + (16*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52408] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) - 
   z^2/a^16 - (10*z^2)/a^14 + (5*z^2)/a^12 + (14*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^4)/a^16 - (4*z^4)/a^14 + (16*z^4)/a^12 + (24*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52409] -> a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 - 
   z^2/a^16 - (5*z^2)/a^14 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - z^4/a^14 + (7*z^4)/a^12 + (15*z^4)/a^10 + (10*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 52410] -> a^(-14) - 5/a^12 + 3/a^10 + 
   2/a^8 - (2*z^2)/a^16 - z^2/a^14 - (4*z^2)/a^12 + (10*z^2)/a^10 + 
   (9*z^2)/a^8 - (3*z^4)/a^16 + z^4/a^14 + (7*z^4)/a^12 + (16*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (8*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52411] -> -a^(-12) - 2/a^10 + 4/a^8 - z^2/a^16 - 
   (2*z^2)/a^14 + (3*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + 
   (5*z^4)/a^12 + (9*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52412] -> a^6 + 7*a^8 - 11*a^10 + 4*a^12 - 2*a^4*z^2 + 
   4*a^6*z^2 + 25*a^8*z^2 - 30*a^10*z^2 + 8*a^12*z^2 - 7*a^4*z^4 + 
   6*a^6*z^4 + 39*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 
   8*a^6*z^6 + 32*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 52413] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 - 2*a^4*z^2 + 
   12*a^6*z^2 + a^8*z^2 - 10*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 3*a^4*z^4 + 
   15*a^6*z^4 + 5*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 52414] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   13*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 16*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   17*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 52415] -> 
  -a^4 + 5*a^6 - 2*a^8 - a^10 + 4*a^2*z^2 - 9*a^4*z^2 + 14*a^6*z^2 + 
   2*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 16*a^4*z^4 + 10*a^6*z^4 + 8*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 12*a^4*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52416] -> 13 - 6/a^2 - 6*a^2 + 51*z^2 + z^2/a^4 - 
   (24*z^2)/a^2 - 22*a^2*z^2 + 85*z^4 + (5*z^4)/a^4 - (40*z^4)/a^2 - 
   29*a^2*z^4 + 73*z^6 + (4*z^6)/a^4 - (33*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52417] -> -5/a^6 + 9/a^4 - 3/a^2 + 
   (4*z^2)/a^8 - (24*z^2)/a^6 + (41*z^2)/a^4 - (15*z^2)/a^2 + (8*z^4)/a^8 - 
   (45*z^4)/a^6 + (74*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (37*z^6)/a^6 + 
   (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 52418] -> -4/a^6 + 7/a^4 - 2/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^6 + (20*z^2)/a^4 - z^2/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (21*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52419] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 10*z^2 + 
   (4*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 12*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52420] -> -a^(-14) + a^(-12) - 2/a^10 + 
   2/a^8 + a^(-6) - (2*z^2)/a^16 - z^2/a^14 + (4*z^2)/a^12 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^16 + (2*z^4)/a^14 + (6*z^4)/a^12 + (5*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (2*z^6)/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52421] -> 
  -a^(-14) + a^(-12) - a^(-10) + 2/a^6 - z^2/a^16 - z^2/a^14 + (2*z^2)/a^12 + 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + z^4/a^14 + 
   (3*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 52422] -> -a^2 + 2*a^4 + 5*a^6 - 7*a^8 + 2*a^10 - 
   z^2 - 5*a^2*z^2 + 11*a^4*z^2 + 12*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 - 3*a^2*z^4 + 18*a^4*z^4 + 12*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - 
   z^6 + 2*a^2*z^6 + 13*a^4*z^6 + 8*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 
   3*a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 52423] -> 
  -a^2 + 4*a^4 - 3*a^8 + a^10 - 3*z^2 + a^2*z^2 + 10*a^4*z^2 - 5*a^8*z^2 + 
   a^10*z^2 - 2*z^4 - z^4/a^2 + 5*a^2*z^4 + 10*a^4*z^4 + a^6*z^4 - 
   3*a^8*z^4 + z^6 + 4*a^2*z^6 + 5*a^4*z^6 + 2*a^6*z^6, 
 Knot[15, Alternating, 52424] -> a^4 + a^6 + 2*a^8 - 5*a^10 + 2*a^12 - 
   a^2*z^2 + 4*a^4*z^2 + 10*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   3*a^4*z^4 + 3*a^6*z^4 + 12*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 6*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 52425] -> 2*a^4 - 2*a^10 + a^12 + 
   2*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 - 4*a^10*z^2 + a^12*z^2 - z^4 - a^2*z^4 + 
   2*a^4*z^4 + 5*a^6*z^4 + a^8*z^4 - 3*a^10*z^4 + a^2*z^6 + 3*a^4*z^6 + 
   4*a^6*z^6 + 2*a^8*z^6, Knot[15, Alternating, 52426] -> 
  -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - 5*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 - 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 6*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 52427] -> 
  1 + a^2 - 4*a^4 + 5*a^6 - 2*a^8 + 3*z^2 + z^2/a^2 - 5*a^2*z^2 - 7*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + (3*z^4)/a^2 - 14*a^2*z^4 - 8*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 12*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, Knot[15, Alternating, 52428] -> 
  2 - 2*a^2 + 2*a^6 - a^8 + (2*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*a^6*z^2 - 
   a^8*z^2 - 4*z^4 + z^4/a^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^6*z^4 - 4*z^6 - 
   z^6/a^2 - 5*a^2*z^6 - 2*a^4*z^6, Knot[15, Alternating, 52429] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (10*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 - (3*z^4)/a^10 + (13*z^4)/a^8 - 
   (11*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (8*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52430] -> -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (11*z^2)/a^12 - (13*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (16*z^4)/a^12 - (11*z^4)/a^10 + (9*z^4)/a^6 - z^6/a^14 + 
   (10*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - 
   (5*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 52431] -> a^4 + 2*a^6 - 5*a^8 + 6*a^10 - 3*a^12 + 
   3*a^2*z^2 + 6*a^6*z^2 - 14*a^8*z^2 + 17*a^10*z^2 - 4*a^12*z^2 + 
   4*a^2*z^4 - 9*a^4*z^4 + 8*a^6*z^4 - 22*a^8*z^4 + 14*a^10*z^4 - a^12*z^4 + 
   a^2*z^6 - 9*a^4*z^6 + 8*a^6*z^6 - 15*a^8*z^6 + 3*a^10*z^6 - 2*a^4*z^8 + 
   5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, Knot[15, Alternating, 52432] -> 
  2*a^4 - a^6 - a^8 + 3*a^10 - 2*a^12 + z^2 + 2*a^2*z^2 + a^4*z^2 - a^6*z^2 - 
   2*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 - 6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 52433] -> 3*a^4 - 4*a^6 + 3*a^8 - a^12 + 
   2*z^2 - a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 4*a^10*z^2 - 
   a^12*z^2 + z^4 - 4*a^2*z^4 + a^4*z^4 - 7*a^6*z^4 - 3*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 52434] -> 3 - 4*a^2 + 3*a^4 - 2*a^6 + a^8 + 
   4*z^2 - (2*z^2)/a^4 + z^2/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 + 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 52435] -> a^8 + 5*a^10 - 6*a^12 + a^14 + a^4*z^2 + 
   5*a^6*z^2 - 3*a^8*z^2 + 19*a^10*z^2 - 7*a^12*z^2 - 2*a^14*z^2 + 
   3*a^4*z^4 + 6*a^6*z^4 - 10*a^8*z^4 + 18*a^10*z^4 + 3*a^12*z^4 - a^14*z^4 + 
   a^4*z^6 - a^6*z^6 - 11*a^8*z^6 + 2*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 
   3*a^8*z^8 - a^10*z^8, Knot[15, Alternating, 52436] -> 
  3*a^8 - 2*a^12 + 3*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 + 6*a^10*z^2 - 
   2*a^12*z^2 - a^14*z^2 + a^2*z^4 + 3*a^4*z^4 - 2*a^6*z^4 + 6*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 4*a^6*z^6 - 4*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 52437] -> -4 + a^(-4) + a^(-2) + 3*a^2 - 11*z^2 - 
   (2*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (5*z^4)/a^6 + (11*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52438] -> 
  2/a^4 - 2/a^2 + a^4 - 5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 52439] -> 
  6 - 2/a^2 - 2*a^2 - 3*a^4 + 2*a^6 + 12*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   4*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 13*z^4 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 52440] -> -3*a^4 + 10*a^6 - 6*a^8 + 4*a^2*z^2 - 
   13*a^4*z^2 + 23*a^6*z^2 - a^8*z^2 - 4*a^10*z^2 + 8*a^2*z^4 - 20*a^4*z^4 + 
   15*a^6*z^4 + 11*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 52441] -> 
  -2*a^2 + 6*a^4 - 4*a^6 + 3*a^8 - 2*a^10 + 2*z^2 - 6*a^2*z^2 + 12*a^4*z^2 - 
   5*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 7*a^2*z^4 + 6*a^4*z^4 - 
   4*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52442] -> 
  1 + a^2 - a^4 - a^6 + a^8 + 2*z^2 - (2*z^2)/a^4 + z^2/a^2 + a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 4*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 52443] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 4*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + 11*a^8*z^2 - 2*a^12*z^2 + 4*a^2*z^4 - 5*a^4*z^4 - 
   9*a^6*z^4 + 7*a^8*z^4 + 5*a^10*z^4 - a^12*z^4 + a^2*z^6 - 4*a^4*z^6 - 
   8*a^6*z^6 - a^8*z^6 + 2*a^10*z^6 - a^4*z^8 - 2*a^6*z^8 - a^8*z^8, 
 Knot[15, Alternating, 52444] -> a^4 + a^6 - a^8 + a^10 - a^12 + 2*z^2 - 
   a^2*z^2 + a^4*z^2 + 2*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - a^12*z^2 + z^4 - 
   2*a^2*z^4 - 3*a^4*z^4 - 2*a^6*z^4 + 2*a^10*z^4 - a^2*z^6 - 2*a^4*z^6 - 
   2*a^6*z^6 - a^8*z^6, Knot[15, Alternating, 52445] -> 
  -1 + 4*a^2 - 2*a^4 + 5*z^2 - (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + 23*z^4 - 
   (5*z^4)/a^2 - 28*a^2*z^4 + 11*a^4*z^4 + 26*z^6 - (4*z^6)/a^2 - 
   41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 
   2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 52446] -> 
  -3 - 4/a^4 + 8/a^2 - z^2 - z^2/a^6 + z^2/a^4 + (5*z^2)/a^2 + 10*z^4 - 
   (5*z^4)/a^6 + (21*z^4)/a^4 - (24*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + 
   (26*z^6)/a^4 - (40*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 52447] -> 3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 + 
   z^2/a^16 - (27*z^2)/a^14 + (28*z^2)/a^12 + (13*z^2)/a^10 - (6*z^4)/a^16 - 
   (23*z^4)/a^14 + (63*z^4)/a^12 + (22*z^4)/a^10 - (5*z^6)/a^16 - 
   (2*z^6)/a^14 + (57*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + 
   (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 52448] -> 2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) - 
   z^2/a^16 - (13*z^2)/a^14 + (11*z^2)/a^12 + (13*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^4)/a^16 - (7*z^4)/a^14 + (23*z^4)/a^12 + (26*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (17*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52449] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 18*z^2 + 
   z^2/a^6 + (3*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52450] -> 
  -3 + a^(-4) + 3*a^2 + a^4 - a^6 - 8*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 52451] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 14*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (9*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52452] -> 
  -1 + a^(-6) - a^(-4) + a^(-2) + a^4 - 3*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + 2*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52453] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 17*z^2 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 
   14*z^4 - (4*z^4)/a^8 + (10*z^4)/a^6 - (7*z^4)/a^4 + (22*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 52454] -> -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^8 + 
   z^2/a^6 - z^2/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + 
   (4*z^4)/a^6 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + 
   z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52455] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^4 + 7*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 + 15*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 5*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 52456] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - z^2 - a^2*z^2 + 7*a^4*z^2 + 3*a^6*z^2 - 
   9*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 4*a^2*z^4 + a^4*z^4 + 12*a^6*z^4 - 
   11*a^8*z^4 + a^10*z^4 - z^6 + 7*a^2*z^6 - 4*a^4*z^6 + 12*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 52457] -> a^2 + a^4 - 2*a^8 + a^10 - 2*z^2 + 
   3*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   3*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^2*z^6 + 
   a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 52458] -> 
  1 + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - (11*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 52459] -> -1 + a^(-2) + a^2 - 3*z^2 - z^2/a^8 + 
   z^2/a^6 + (3*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 52460] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - 6*a^2*z^2 + 
   15*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + z^4/a^2 - 2*a^2*z^4 + 18*a^4*z^4 - 
   7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52461] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 + 
   z^2/a^16 - (18*z^2)/a^14 + (13*z^2)/a^12 + (19*z^2)/a^10 + z^2/a^8 - 
   (2*z^4)/a^16 - (13*z^4)/a^14 + (26*z^4)/a^12 + (33*z^4)/a^10 + 
   (3*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (20*z^6)/a^12 + (22*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52462] -> a^4 + 2*a^6 - 3*a^8 + 2*a^10 - a^12 + z^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + 6*a^10*z^2 - a^12*z^2 + 
   z^4 - a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 - 9*a^8*z^4 + 4*a^10*z^4 - 
   2*a^2*z^6 - 2*a^4*z^6 + 3*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 52463] -> a^2 + 3*a^6 - 5*a^8 + 2*a^10 - 2*z^2 + 
   3*a^2*z^2 - a^4*z^2 + 10*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 - 5*a^4*z^4 + 16*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 52464] -> 
  a^2 + 2*a^4 - 2*a^6 - a^8 + a^10 - z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 - 4*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 + 4*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 52465] -> -3 - 4/a^4 + 8/a^2 - 11*z^2 - (5*z^2)/a^4 + 
   (17*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^6 + (2*z^4)/a^4 + (10*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52466] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   6*a^2*z^4 + 5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 
   4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 52467] -> 3*a^4 - a^6 - 2*a^8 + a^10 - z^2/a^2 + 
   a^2*z^2 + 3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 + 2*z^4 - z^4/a^2 + 
   3*a^2*z^4 - a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 52468] -> 2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^4 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 52469] -> 
  3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 2*z^2 + 11*a^2*z^2 - 20*a^4*z^2 + 
   19*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 4*z^4 + 17*a^2*z^4 - 27*a^4*z^4 + 
   18*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 16*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52470] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 6*z^2 + z^2/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + 
   (14*z^2)/a^2 - 7*z^4 + z^4/a^8 - (5*z^4)/a^6 - z^4/a^4 + (18*z^4)/a^2 - 
   4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (3*z^6)/a^4 + (13*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52471] -> a^(-14) - 3/a^12 + 2/a^10 - 2/a^8 + 3/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (6*z^2)/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 - 
   z^4/a^14 + (4*z^4)/a^12 + (6*z^4)/a^10 - (11*z^4)/a^8 + (10*z^4)/a^6 + 
   z^4/a^4 + (3*z^6)/a^12 - z^6/a^10 - (11*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52472] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - z^4/a^4 + (5*z^4)/a^2 + 6*a^2*z^4 - 
   12*z^6 - z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52473] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 + 
   (3*z^2)/a^2 + 4*a^2*z^2 - 7*z^4 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*a^4*z^4 - 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 52474] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (2*z^2)/a^16 - (21*z^2)/a^14 + (15*z^2)/a^12 + (18*z^2)/a^10 + z^2/a^8 - 
   (2*z^4)/a^16 - (16*z^4)/a^14 + (32*z^4)/a^12 + (29*z^4)/a^10 + 
   (4*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (23*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52475] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) - (8*z^2)/a^14 + z^2/a^12 + (15*z^2)/a^10 + (6*z^2)/a^8 - 
   z^4/a^16 - (4*z^4)/a^14 + (9*z^4)/a^12 + (21*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52476] -> -1 + a^(-4) + 2*a^2 - 3*a^4 + 2*a^6 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 
   z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 52477] -> -2/a^10 + a^(-8) + 2/a^6 - z^2/a^14 + 
   (3*z^2)/a^12 - (3*z^2)/a^10 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (8*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (7*z^6)/a^10 - (11*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52478] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + (2*z^2)/a^12 - (2*z^2)/a^10 - 
   (3*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^14 + (5*z^4)/a^12 + z^4/a^10 - 
   (10*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (11*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 52479] -> 2/a^16 - 6/a^14 + a^(-12) + 
   4/a^10 + (2*z^2)/a^16 - (17*z^2)/a^14 + (9*z^2)/a^12 + (18*z^2)/a^10 + 
   (3*z^2)/a^8 - z^4/a^16 - (9*z^4)/a^14 + (17*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (9*z^6)/a^12 + (11*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52480] -> 
  2*a^6 + a^8 - 2*a^10 + 3*a^2*z^2 - 5*a^4*z^2 + 6*a^6*z^2 + 9*a^8*z^2 - 
   5*a^10*z^2 + 5*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52481] -> a^4 + 2*a^8 - 2*a^10 + z^2 + 3*a^6*z^2 + 
   5*a^8*z^2 - 2*a^10*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 + 2*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52482] -> 
  -1 - 5/a^6 + 8/a^4 - a^(-2) - 5*z^2 + z^2/a^8 - (10*z^2)/a^6 + 
   (17*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + z^4/a^8 - (10*z^4)/a^6 + 
   (16*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (10*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52483] -> 
  4 - 3/a^4 + 3/a^2 - 3*a^2 + 11*z^2 + z^2/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 - 
   7*a^2*z^2 + 16*z^4 + (2*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 52484] -> -a^2 + 5*a^4 - 3*a^6 - z^2 - z^2/a^2 - 
   a^2*z^2 + 14*a^4*z^2 - 7*a^6*z^2 - 3*z^4 + z^4/a^2 + a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52485] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (2*z^2)/a^16 - (19*z^2)/a^14 + (11*z^2)/a^12 + (18*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (15*z^4)/a^14 + (29*z^4)/a^12 + 
   (27*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (22*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 52486] -> a^(-16) - 3/a^14 + a^(-10) + 
   2/a^8 - (8*z^2)/a^14 + (3*z^2)/a^12 + (11*z^2)/a^10 + (6*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + (10*z^4)/a^12 + (18*z^4)/a^10 + 
   (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52487] -> 
  1 - a^(-10) - a^(-8) + 6/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 52488] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 
   6*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 52489] -> 
  -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + (6*z^4)/a^6 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 52490] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + z^4/a^8 - 
   (6*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52491] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (11*z^2)/a^6 + z^4/a^12 - (2*z^4)/a^10 - (7*z^4)/a^8 + (15*z^4)/a^6 - 
   (3*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + (11*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52492] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 3*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*z^4 + z^4/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52493] -> -5 - a^(-4) + 3/a^2 + 7*a^2 - 3*a^4 - 
   13*z^2 + (3*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 + 25*a^2*z^4 - 9*a^4*z^4 + 3*z^6 + z^6/a^4 - (7*z^6)/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 52494] -> 
  -1 + 6*a^4 - 4*a^6 - 5*z^2 + 2*a^2*z^2 + 19*a^4*z^2 - 10*a^6*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 + 26*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52495] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 20*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 52496] -> -2 + 4*a^2 + a^4 - 2*a^6 - 9*z^2 + z^2/a^2 + 
   12*a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 - 11*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 + 
   14*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 9*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52497] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - 
   (2*z^2)/a^6 - (5*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (3*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52498] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 7*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 52499] -> -3/a^8 + 4/a^6 + z^2/a^12 - (4*z^2)/a^10 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^12 - (8*z^4)/a^10 + 
   (5*z^4)/a^8 + (17*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (12*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52500] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 - z^2/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 - 
   z^4 + (2*z^4)/a^8 - z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52501] -> a^(-4) - a^2 + a^4 - a^6 + a^8 - 2*z^2 - 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 3*a^6*z^2 + (2*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 52502] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + z^2/a^8 + (11*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (20*z^4)/a^4 + (5*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (14*z^6)/a^4 - (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52503] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 6*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (4*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52504] -> 
  -a^(-14) + 3/a^12 - 5/a^10 + 2/a^8 + 2/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 - 
   (4*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (3*z^4)/a^14 + (9*z^4)/a^12 - 
   z^4/a^10 - (3*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - 
   (4*z^6)/a^10 - (8*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 52505] -> a^4 + 3*a^6 - 6*a^8 + 5*a^10 - 2*a^12 + 
   4*a^2*z^2 - 4*a^4*z^2 + 11*a^6*z^2 - 16*a^8*z^2 + 14*a^10*z^2 - 
   3*a^12*z^2 + 4*a^2*z^4 - 12*a^4*z^4 + 13*a^6*z^4 - 22*a^8*z^4 + 
   12*a^10*z^4 - a^12*z^4 + a^2*z^6 - 9*a^4*z^6 + 10*a^6*z^6 - 14*a^8*z^6 + 
   3*a^10*z^6 - 2*a^4*z^8 + 5*a^6*z^8 - 3*a^8*z^8 + a^6*z^10, 
 Knot[15, Alternating, 52506] -> 3*a^4 - 3*a^6 + a^8 + a^10 - a^12 + 2*z^2 - 
   a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 + 5*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 4*a^6*z^4 - 5*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 
   3*a^8*z^6 + a^4*z^8 + a^6*z^8, Knot[15, Alternating, 52507] -> 
  3 - 3*a^2 + a^4 - a^6 + a^8 + 3*z^2 - (2*z^2)/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 52508] -> 
  a^8 + 5*a^10 - 6*a^12 + a^14 + 2*a^4*z^2 + 4*a^6*z^2 - 3*a^8*z^2 + 
   19*a^10*z^2 - 8*a^12*z^2 - a^14*z^2 + 3*a^4*z^4 + 4*a^6*z^4 - 10*a^8*z^4 + 
   18*a^10*z^4 + a^12*z^4 - a^14*z^4 + a^4*z^6 - a^6*z^6 - 10*a^8*z^6 + 
   3*a^10*z^6 + 2*a^12*z^6 - a^6*z^8 - 3*a^8*z^8 - a^10*z^8, 
 Knot[15, Alternating, 52509] -> a^(-12) - 3/a^10 + 3/a^6 - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (6*z^2)/a^10 - (5*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (9*z^4)/a^10 - (13*z^4)/a^8 + (10*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52510] -> 2/a^10 - 5/a^8 + 3/a^6 + a^(-2) - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^10 + 
   (6*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (5*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52511] -> a^(-6) - a^(-4) + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 52512] -> -2/a^12 + 3/a^8 - (5*z^2)/a^14 + 
   z^2/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (8*z^4)/a^12 + (12*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52513] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - z^2/a^4 - (3*z^2)/a^2 + 3*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52514] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 3*a^4*z^2 + 12*a^6*z^2 + 3*a^8*z^2 - 
   9*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 16*a^6*z^4 + 9*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 12*a^6*z^6 + 8*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 52515] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^4 - a^6 + 
   a^8 + 4*z^2 - z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 + 7*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 + 
   z^6 - (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 52516] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*a^2*z^2 - 4*a^4*z^2 + 6*a^6*z^2 - 
   2*a^8*z^2 + 2*z^4 + z^4/a^2 - 4*a^2*z^4 - 4*a^4*z^4 + 7*a^6*z^4 - 
   a^8*z^4 + z^6/a^2 - 7*a^2*z^6 - 4*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 52517] -> -a^(-14) + 3/a^12 - 5/a^10 + 
   3/a^8 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - (11*z^2)/a^10 + 
   (11*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 - 
   (7*z^4)/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   (3*z^6)/a^10 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52518] -> 3*a^4 - 2*a^6 - 2*a^8 + 4*a^10 - 2*a^12 + 
   2*z^2 - 2*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 5*a^8*z^2 + 8*a^10*z^2 - 
   a^12*z^2 + z^4 - 5*a^2*z^4 + 2*a^4*z^4 - 3*a^6*z^4 - 8*a^8*z^4 + 
   3*a^10*z^4 - 2*a^2*z^6 + 2*a^4*z^6 + a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 52519] -> a^2 + a^4 - 2*a^6 + a^8 + a^10 - 
   a^12 + z^2/a^2 + a^2*z^2 + a^4*z^2 - 3*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - 2*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 
   2*a^4*z^6 + a^6*z^6, Knot[15, Alternating, 52520] -> 
  1 + a^(-2) - 2*a^2 + a^4 - a^6 + a^8 - z^2/a^6 - a^2*z^2 - 3*a^6*z^2 + 
   z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   z^6/a^2 - a^2*z^6, Knot[15, Alternating, 52521] -> 
  3*a^8 - 2*a^12 + a^2*z^2 + 2*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 + 5*a^10*z^2 - 
   a^12*z^2 - a^14*z^2 + a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 4*a^10*z^4 + 
   2*a^12*z^4 - a^4*z^6 - 3*a^6*z^6 - 3*a^8*z^6 - a^10*z^6, 
 Knot[15, Alternating, 52522] -> -2 + a^(-6) + a^2 + a^4 - 6*z^2 - z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4/a^8 + 
   (2*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52523] -> 
  3 - a^(-2) - a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 - a^4*z^2 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 52524] -> 
  -1 + 2/a^4 - a^(-2) - a^2 + 2*a^4 - (2*z^2)/a^6 + (5*z^2)/a^4 - 
   (6*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 52525] -> 
  a^(-12) - 3/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (8*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (8*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52526] -> 
  a^(-16) - 2/a^14 - 2/a^12 + 2/a^10 + 2/a^8 + z^2/a^16 - (9*z^2)/a^14 + 
   (2*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (5*z^4)/a^14 + (10*z^4)/a^12 + (15*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52527] -> 1 - 2/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 3*z^2 - 
   z^2/a^10 + (12*z^2)/a^6 - (14*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 52528] -> a^(-14) - 2/a^12 - a^(-10) + 
   a^(-8) + 2/a^6 - (3*z^2)/a^14 + (6*z^2)/a^12 - (8*z^2)/a^10 + 
   (5*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + (19*z^4)/a^12 - (18*z^4)/a^10 + 
   (4*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (14*z^6)/a^12 - (21*z^6)/a^10 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (11*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 52529] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (4*z^2)/a^16 - (27*z^2)/a^14 + 
   (20*z^2)/a^12 + (15*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (22*z^4)/a^14 + 
   (39*z^4)/a^12 + (24*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (27*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52530] -> 
  2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (12*z^2)/a^10 + (12*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (9*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52531] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + z^2/a^16 - (13*z^2)/a^14 + 
   (9*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (6*z^4)/a^14 + (14*z^4)/a^12 + (17*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (7*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52532] -> a^2 + a^4 - a^6 - 3*z^2 + z^2/a^2 + 
   8*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - a^2*z^4 + 15*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52533] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 16*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 52534] -> 
  -a^4 + 4*a^6 - 2*a^10 + 3*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 + 7*a^8*z^2 - 
   5*a^10*z^2 + 6*a^2*z^4 - 13*a^4*z^4 + 5*a^6*z^4 + 14*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 4*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52535] -> -a^2 + 3*a^4 - a^6 + 2*a^8 - 2*a^10 + z^2 - 
   2*a^2*z^2 + 5*a^4*z^2 + a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - a^4*z^4 + 2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 52536] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 5*z^2 + 
   z^2/a^8 - z^2/a^6 - (7*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + z^4/a^8 - 
   (5*z^4)/a^6 - (3*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + 
   (3*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52537] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   a^2*z^2 + 5*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 + 
   7*z^6 + z^6/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 52538] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 
   2/a^6 + a^(-4) - z^2/a^14 + (7*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (2*z^4)/a^12 + (10*z^4)/a^10 - (13*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 + (2*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52539] -> -1 + 7*a^2 - 8*a^4 + 3*a^6 + 2*z^2 - 
   (4*z^2)/a^2 + 16*a^2*z^2 - 21*a^4*z^2 + 6*a^6*z^2 + 9*z^4 - (6*z^4)/a^2 + 
   18*a^2*z^4 - 21*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 52540] -> 4 - a^(-2) - a^2 - 3*a^4 + 
   2*a^6 + 8*z^2 - (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 10*z^4 - (2*z^4)/a^4 + (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 52541] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   z^2 + 2*a^2*z^2 - a^6*z^2 + 2*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 52542] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 6*z^4 - z^4/a^4 + z^4/a^2 - 7*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (4*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 52543] -> -3 + 2/a^2 + 2*a^2 - 15*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (6*z^4)/a^6 + 
   (9*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52544] -> 
  -3 + 12*a^2 - 12*a^4 + 4*a^6 - (4*z^2)/a^2 + 24*a^2*z^2 - 28*a^4*z^2 + 
   8*a^6*z^2 + 11*z^4 - (8*z^4)/a^2 + 23*a^2*z^4 - 27*a^4*z^4 + 5*a^6*z^4 + 
   13*z^6 - (5*z^6)/a^2 + 15*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 52545] -> 1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + 7*z^2 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 9*z^4 - 
   (4*z^4)/a^2 + 6*a^4*z^4 - 8*a^6*z^4 + a^8*z^4 + 5*z^6 - z^6/a^2 + 
   3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 52546] -> -2/a^6 + 3/a^4 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (9*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (5*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52547] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - 
   (10*z^2)/a^14 - z^2/a^12 + (24*z^2)/a^10 + z^2/a^8 - (2*z^4)/a^16 - 
   (10*z^4)/a^14 + (17*z^4)/a^12 + (35*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (18*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52548] -> 
  -1 + a^(-2) + a^2 - 9*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   4*a^2*z^2 - 15*z^4 - z^4/a^4 + (4*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 - (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52549] -> 
  a^(-12) - 3/a^10 + 3/a^6 - z^2/a^14 + (4*z^2)/a^12 - (6*z^2)/a^10 - 
   z^2/a^8 + (10*z^2)/a^6 - z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 - 
   (7*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - 
   (10*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 52550] -> 2/a^16 - 5/a^14 + 3/a^10 + 
   a^(-8) + z^2/a^16 - (13*z^2)/a^14 + (6*z^2)/a^12 + (13*z^2)/a^10 + 
   (6*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + (13*z^4)/a^12 + (20*z^4)/a^10 + 
   (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (9*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52551] -> 
  a^(-14) - 3/a^12 + a^(-10) + 2/a^6 - z^2/a^14 - z^2/a^12 + z^2/a^10 + 
   (2*z^2)/a^8 + (7*z^2)/a^6 - z^4/a^14 + (5*z^4)/a^12 - z^4/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (6*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52552] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - a^12 + 
   3*a^2*z^2 - 4*a^4*z^2 + 8*a^6*z^2 - 10*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 11*a^4*z^4 + 16*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 13*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 52553] -> 
  3 + a^(-4) - 2/a^2 - 3*a^4 + 2*a^6 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 52554] -> 
  -a^2 + 4*a^4 - 3*a^6 + 3*a^8 - 2*a^10 + 2*z^2 - 4*a^2*z^2 + 8*a^4*z^2 - 
   4*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 6*a^2*z^4 + 4*a^4*z^4 - 
   4*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52555] -> 
  -a^2 + 5*a^4 - 3*a^6 - z^2/a^2 - 2*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 
   2*z^4 + a^2*z^4 + 17*a^4*z^4 - 7*a^6*z^4 - 4*z^6 + z^6/a^2 + 4*a^2*z^6 + 
   13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52556] -> 
  5 - 3/a^2 + a^2 - 2*a^4 + 13*z^2 - (9*z^2)/a^2 + 9*a^2*z^2 - 8*a^4*z^2 + 
   16*z^4 + (2*z^4)/a^4 - (11*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 11*z^6 + 
   z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 52557] -> 
  -2 + 5*a^2 - a^4 - a^6 - 8*z^2 + z^2/a^2 + 12*a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 - 10*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 
   7*z^6 + z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 52558] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 9*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 13*z^4 + z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 
   2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 52559] -> 
  1 + a^(-4) - a^(-2) - a^6 + a^8 - z^2 - z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 3*a^6*z^2 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 52560] -> 
  -a^(-14) + 3/a^12 - 4/a^10 + a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (4*z^2)/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 - (2*z^4)/a^8 + (3*z^4)/a^4 + (2*z^6)/a^12 - 
   z^6/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 52561] -> a^2 + a^10 - a^12 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*a^10*z^2 - 2*z^4 - a^2*z^4 - 
   4*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 52562] -> a^(-2) - a^6 + a^8 - 2*z^2 - z^2/a^6 + 
   z^2/a^2 + a^2*z^2 - 3*a^6*z^2 + (2*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 52563] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (5*z^2)/a^8 + (9*z^2)/a^6 + z^4/a^12 - 
   (5*z^4)/a^10 + z^4/a^8 + (12*z^4)/a^6 - (3*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52564] -> 
  1 - a^(-4) + 2/a^2 - 3*a^4 + 2*a^6 + 2*z^2 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 - a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^6 + z^4/a^4 + 
   (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6, Knot[15, Alternating, 52565] -> -1 + 2*a^2 + a^4 - 2*a^6 + 
   3*a^8 - 2*a^10 - 2*z^2 + z^2/a^2 + 3*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 + 
   5*a^8*z^2 - a^10*z^2 - 2*z^4 + z^4/a^2 - 2*a^6*z^4 + 2*a^8*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6 - a^6*z^6, Knot[15, Alternating, 52566] -> 
  2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^6 - a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 
   3*z^4 + z^4/a^4 + (2*z^4)/a^2 + 2*a^2*z^4 + a^4*z^4, 
 Knot[15, Alternating, 52567] -> 2*a^4 - a^6 + a^10 - a^12 + z^2/a^2 + 
   2*a^4*z^2 + a^8*z^2 + 2*a^10*z^2 - z^4 - 2*a^2*z^4 - 2*a^4*z^4 - 
   2*a^6*z^4 - a^8*z^4, Knot[15, Alternating, 52568] -> 
  2 + a^(-4) - 2/a^2 + 3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 52569] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 4*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 - 5*z^6 - z^6/a^4 + (5*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 52570] -> 1 - 2/a^4 + 3/a^2 - a^2 - z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 52571] -> 
  -2/a^6 + 3/a^4 + z^2/a^12 - (2*z^2)/a^10 + z^2/a^8 - (2*z^2)/a^6 + 
   (6*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (3*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52572] -> -a^(-12) + 4/a^10 - 8/a^8 + 6/a^6 + 
   z^2/a^12 + (3*z^2)/a^10 - (15*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 - (3*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (11*z^6)/a^10 + (11*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (9*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 52573] -> -a^(-8) + 2/a^4 + z^2/a^12 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   z^4/a^12 - (5*z^4)/a^10 + (4*z^4)/a^8 - (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52574] -> -1 + 4*a^2 - 2*a^4 + 3*z^2 - z^2/a^4 + 
   5*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 + 5*a^4*z^4 - z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52575] -> 
  2*a^2 - a^4 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52576] -> 
  -5/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + (17*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 52577] -> 
  -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - (3*z^2)/a^14 + (4*z^2)/a^12 + 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + (18*z^4)/a^12 - (13*z^4)/a^10 + 
   (3*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (14*z^6)/a^12 - (20*z^6)/a^10 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (11*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 52578] -> 
  -a^(-10) - 2/a^8 + 7/a^6 - 5/a^4 + 2/a^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - 
   (11*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52579] -> -6 + a^(-4) + a^(-2) + 7*a^2 - 2*a^4 - 
   16*z^2 + z^2/a^6 + (2*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52580] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (19*z^2)/a^14 + 
   (15*z^2)/a^12 + (16*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - 
   (14*z^4)/a^14 + (31*z^4)/a^12 + (27*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52581] -> 
  1 - 4*a^4 + 8*a^6 - 4*a^8 - 2*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 18*a^4*z^2 + 
   20*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 11*a^2*z^4 - 26*a^4*z^4 + 
   14*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 15*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 52582] -> 1 - a^2 + 3*a^6 - 2*a^8 + 3*z^2 + z^2/a^4 - 
   z^2/a^2 - 4*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 52583] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 9*z^2 + (5*z^2)/a^4 - (7*z^2)/a^2 + 
   14*a^2*z^2 - 4*a^4*z^2 - 10*z^4 + (7*z^4)/a^4 - (14*z^4)/a^2 + 
   15*a^2*z^4 - 3*a^4*z^4 - 8*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52584] -> -2 + a^(-6) - a^(-4) + 2/a^2 - a^2 + 2*a^4 - 
   z^2 - z^2/a^8 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   a^4*z^2 + 5*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52585] -> -a^(-14) + a^(-12) - a^(-10) + 2/a^8 - 
   2/a^6 + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (5*z^4)/a^10 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52586] -> -a^(-14) + a^(-12) + a^(-10) - 4/a^8 + 
   4/a^6 - (4*z^2)/a^14 + (11*z^2)/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + 
   (12*z^2)/a^6 - (4*z^4)/a^14 + (23*z^4)/a^12 - (21*z^4)/a^10 - 
   (6*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - 
   (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 52587] -> 
  -a^(-14) + 3/a^10 - 3/a^8 + 2/a^4 - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52588] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 - (4*z^2)/a^4 + (6*z^2)/a^2 + 
   17*a^2*z^2 - 15*a^4*z^2 + 3*a^6*z^2 - 11*z^4 - (4*z^4)/a^4 + 
   (13*z^4)/a^2 + 23*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52589] -> 3*a^4 - a^6 - 2*a^8 + a^10 - 2*z^2 + 
   2*a^2*z^2 + 3*a^4*z^2 + 5*a^6*z^2 - 8*a^8*z^2 + 2*a^10*z^2 - 3*z^4 + 
   7*a^2*z^4 - 3*a^4*z^4 + 13*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 6*a^4*z^6 + 11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 52590] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 52591] -> a^(-14) - 3/a^12 + a^(-10) + 
   2/a^6 - (3*z^2)/a^14 + (3*z^2)/a^12 - z^2/a^10 + (2*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (18*z^4)/a^12 - (13*z^4)/a^10 + (3*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (14*z^6)/a^12 - (20*z^6)/a^10 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (11*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 52592] -> 
  a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - (12*z^2)/a^14 + (10*z^2)/a^12 + 
   (8*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (9*z^4)/a^14 + (23*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52593] -> a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 + 
   (3*z^2)/a^4 - (6*z^2)/a^2 - 3*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 + 
   (3*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 52594] -> -10 + a^(-4) + 2/a^2 + 12*a^2 - 4*a^4 - 
   27*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (9*z^2)/a^2 + 22*a^2*z^2 - 
   4*a^4*z^2 - 29*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52595] -> -1 + a^(-4) - 2*a^2 + 5*a^4 - 2*a^6 - 
   2*z^2 + z^2/a^6 - z^2/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + z^6 - 
   (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 52596] -> -8 + 2/a^6 - 5/a^4 + 8/a^2 + 4*a^2 - 
   18*z^2 - z^2/a^8 + (6*z^2)/a^6 - (17*z^2)/a^4 + (21*z^2)/a^2 + 4*a^2*z^2 - 
   13*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (20*z^4)/a^4 + (24*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 52597] -> 3 + a^(-6) - 2/a^2 - 3*a^2 + 2*a^4 + 6*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   7*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52598] -> -a^(-12) + 3/a^10 - 6/a^8 + 5/a^6 + 
   z^2/a^12 - z^2/a^10 - (6*z^2)/a^8 + (14*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (13*z^4)/a^10 + (9*z^4)/a^8 + (12*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (17*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 52599] -> 3 - a^(-2) + a^2 - 4*a^4 + 
   2*a^6 + 5*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 52600] -> 
  a^2 + a^4 - 2*a^8 + a^10 + z^2 - z^2/a^2 - a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - a^2*z^4 + 3*a^4*z^4 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 52601] -> 2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 
   3*z^2 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 52602] -> 
  -a^(-10) - a^(-8) + 3/a^6 + z^2/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + 
   (13*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (9*z^6)/a^6 + 
   z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52603] -> -a^(-14) + a^(-12) - a^(-10) + 2/a^6 - 
   (4*z^2)/a^14 + (13*z^2)/a^12 - (14*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (24*z^4)/a^12 - (29*z^4)/a^10 + (8*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (15*z^6)/a^12 - (27*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 52604] -> -a^(-10) + 3/a^6 - 3/a^4 + 
   2/a^2 - (5*z^2)/a^10 + (15*z^2)/a^8 - (5*z^2)/a^6 - (8*z^2)/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (26*z^4)/a^8 - (25*z^4)/a^6 - (11*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (27*z^6)/a^6 - (10*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52605] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) + (2*z^2)/a^16 - 
   (19*z^2)/a^14 + (16*z^2)/a^12 + (12*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (18*z^4)/a^14 + (34*z^4)/a^12 + (22*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   (3*z^6)/a^14 + (25*z^6)/a^12 + (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52606] -> 
  -3 - a^(-6) - 2/a^4 + 7/a^2 - 9*z^2 + (4*z^2)/a^8 - (14*z^2)/a^6 + 
   (8*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + 
   (26*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (27*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 52607] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (4*z^2)/a^8 - 
   (3*z^2)/a^6 + (9*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   z^4/a^6 + (14*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52608] -> -a^(-14) + a^(-12) - a^(-10) + a^(-8) + 
   a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (3*z^4)/a^10 - 
   (10*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52609] -> 1 - a^(-10) + 3/a^6 - 2/a^4 + 3*z^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (7*z^2)/a^6 - (11*z^2)/a^4 + z^2/a^2 + 
   3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (18*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (12*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 52610] -> -a^(-6) + a^(-4) + a^(-2) - z^2 - 
   z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^2/a^2 + a^2*z^2 - z^4/a^8 + 
   (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - 
   (3*z^6)/a^4 - (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 52611] -> -a^(-14) + a^(-10) - a^(-8) + 2/a^6 - 
   (4*z^2)/a^14 + (11*z^2)/a^12 - (9*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (23*z^4)/a^12 - (25*z^4)/a^10 + (7*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 52612] -> -a^(-14) + a^(-12) - 2/a^10 + 
   3/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (4*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52613] -> 
  -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + 
   (7*z^2)/a^6 - (11*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - 
   (9*z^4)/a^6 - (12*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (18*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52614] -> a^(-16) - 5/a^14 + 2/a^12 + 3/a^10 + 
   (2*z^2)/a^16 - (19*z^2)/a^14 + (15*z^2)/a^12 + (17*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (16*z^4)/a^14 + (29*z^4)/a^12 + (28*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52615] -> a^4 + a^8 - a^12 + 2*z^2 - a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 + a^4*z^4 - 6*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + 
   a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 52616] -> a^(-16) - 5/a^14 + 3/a^12 + a^(-10) + 
   a^(-8) - (9*z^2)/a^14 + (8*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - (3*z^4)/a^14 + (11*z^4)/a^12 + (14*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52617] -> 
  a^4 + a^6 - a^8 + a^10 - a^12 + z^2/a^2 + 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 
   3*a^10*z^2 - 2*z^4 - a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 
   a^2*z^6 + a^4*z^6 + a^6*z^6, Knot[15, Alternating, 52618] -> 
  -4 + a^(-4) + 6*a^2 - 2*a^4 - 10*z^2 + (7*z^2)/a^4 - (10*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 52619] -> -3 + a^(-4) + 4*a^2 - a^4 - 
   2*z^2 + (2*z^2)/a^6 - (6*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 52620] -> a^(-16) - 4/a^14 + 4/a^10 + (2*z^2)/a^16 - 
   (19*z^2)/a^14 + (13*z^2)/a^12 + (19*z^2)/a^10 + z^2/a^8 - z^4/a^16 - 
   (18*z^4)/a^14 + (31*z^4)/a^12 + (31*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - 
   (3*z^6)/a^14 + (24*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52621] -> 
  -1 + a^(-6) + a^6 - 3*z^2 - z^2/a^8 - (2*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 52622] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (3*z^2)/a^12 - (10*z^2)/a^10 + (6*z^2)/a^8 + 
   (10*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (20*z^4)/a^10 + (20*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 52623] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (22*z^4)/a^8 - 
   (21*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52624] -> -a^(-14) + a^(-12) + a^(-10) - 3/a^8 + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - 
   (9*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52625] -> -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - 
   (3*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 + z^2/a^8 - z^2/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (7*z^4)/a^10 - (3*z^4)/a^8 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52626] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (9*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (22*z^4)/a^8 - (22*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 52627] -> -a^(-14) + 2/a^12 - a^(-10) - 
   3/a^8 + 4/a^6 - (6*z^2)/a^14 + (18*z^2)/a^12 - (14*z^2)/a^10 - 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (5*z^4)/a^14 + (30*z^4)/a^12 - 
   (31*z^4)/a^10 - (3*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (30*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 52628] -> -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 
   2/a^4 - (3*z^2)/a^14 + (8*z^2)/a^12 - (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - (12*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52629] -> a^(-16) - 3/a^14 + a^(-10) + 2/a^8 - 
   (10*z^2)/a^14 + (6*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (8*z^4)/a^14 + (19*z^4)/a^12 + (19*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52630] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) + z^2/a^16 - (15*z^2)/a^14 + (10*z^2)/a^12 + (14*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (13*z^4)/a^14 + (27*z^4)/a^12 + 
   (24*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (21*z^6)/a^12 + 
   (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 52631] -> -a^(-10) + a^(-8) - a^(-6) + 
   2/a^4 - (3*z^2)/a^10 + (9*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 - 
   (3*z^4)/a^10 + (17*z^4)/a^8 - (18*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (20*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 52632] -> -a^(-14) + 2/a^12 - 2/a^10 + 
   a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - z^2/a^10 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - 
   (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52633] -> -5 + a^(-4) + 8*a^2 - 3*a^4 - 13*z^2 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 + 20*a^2*z^2 - 6*a^4*z^2 - 16*z^4 + 
   (7*z^4)/a^4 - (12*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 12*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52634] -> 
  -3 + a^(-6) - a^(-4) + 2/a^2 + a^2 + a^4 - 8*z^2 - z^2/a^8 + (2*z^2)/a^6 - 
   (6*z^2)/a^4 + (8*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (4*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52635] -> -a^(-14) + a^(-12) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - z^2/a^8 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (5*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 52636] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-8) - a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (8*z^2)/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (4*z^4)/a^10 - (11*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52637] -> -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 
   a^(-6) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 + z^4/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 52638] -> 
  -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 + 
   (4*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - (29*z^4)/a^6 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (5*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52639] -> 
  -2/a^8 + 2/a^6 + a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + 
   (5*z^2)/a^6 + z^2/a^4 + (3*z^4)/a^12 - (15*z^4)/a^10 + (16*z^4)/a^8 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + (19*z^6)/a^8 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + (3*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 52640] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (18*z^4)/a^6 + 
   (20*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (23*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 52641] -> 
  a^4 + 4*a^6 - 6*a^8 + 2*a^10 - 4*z^2 + 8*a^2*z^2 - 7*a^4*z^2 + 18*a^6*z^2 - 
   15*a^8*z^2 + 3*a^10*z^2 - 4*z^4 + 14*a^2*z^4 - 14*a^4*z^4 + 24*a^6*z^4 - 
   12*a^8*z^4 + a^10*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 
   3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 52642] -> 3*a^4 - a^6 - 2*a^8 + a^10 + 3*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*a^4*z^2 + a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + 
   5*z^4 - z^4/a^2 - 3*a^2*z^4 + 5*a^4*z^4 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 52643] -> 
  -a^(-10) + 3/a^4 - a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + 
   (9*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + 
   (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52644] -> 
  -a^(-14) + 2/a^12 - 4/a^10 + 4/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (7*z^2)/a^12 - (10*z^2)/a^10 + (12*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (9*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52645] -> 1 - a^(-10) + a^(-6) + 2/a^4 - 2/a^2 + 
   3*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 - (4*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 - 
   (3*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52646] -> -1 + a^(-4) - a^2 + 3*a^4 - a^6 - 3*z^2 + 
   z^2/a^6 - z^2/a^4 - 4*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 52647] -> 
  -3/a^10 + 3/a^8 + a^(-6) - z^2/a^14 + z^2/a^12 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 - 
   (2*z^4)/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52648] -> a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 - 
   (10*z^2)/a^14 + (8*z^2)/a^12 + (9*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (4*z^4)/a^14 + (13*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 52649] -> 1 - a^4 + 3*a^8 - 2*a^10 - z^2 + 
   (2*z^2)/a^2 + a^2*z^2 - 3*a^4*z^2 - 3*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 
   5*z^4 + z^4/a^2 - 4*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 
   a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 52650] -> 
  1 - a^4 + a^6 + a^8 - a^10 + z^2/a^4 - 3*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 
   2*z^4 - (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 52651] -> 1 + a^(-4) - a^(-2) - 2*a^2 + 
   3*a^4 - a^6 + 5*z^2 + z^2/a^6 - (5*z^2)/a^2 - 7*a^2*z^2 + 5*a^4*z^2 - 
   a^6*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 52652] -> 1 + a^(-6) - a^(-2) - a^2 + a^6 + z^2 - 
   z^2/a^8 - z^2/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - 
   (2*z^6)/a^2, Knot[15, Alternating, 52653] -> 
  -a^(-14) + a^(-12) - a^(-8) + 2/a^6 - a^(-4) + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 - z^2/a^10 + (4*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - z^4/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 52654] -> -a^(-14) + 2/a^12 - 3/a^10 + 3/a^8 - 2/a^6 + 
   2/a^4 - (3*z^2)/a^14 + (10*z^2)/a^12 - (9*z^2)/a^10 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (11*z^4)/a^10 - 
   z^4/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (8*z^6)/a^10 - 
   (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 52655] -> -a^(-14) + a^(-12) + a^(-2) - 
   z^2/a^14 + (4*z^2)/a^12 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - (6*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 52656] -> -3/a^8 + 4/a^6 + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (8*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (19*z^4)/a^10 + (25*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (13*z^6)/a^10 + (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52657] -> 1 + a^4 - 2*a^6 + a^8 + z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 52658] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - (2*z^2)/a^12 + (5*z^2)/a^10 + 
   (5*z^2)/a^8 - (14*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - z^4/a^12 + 
   (9*z^4)/a^10 - (2*z^4)/a^8 - (20*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 + 
   (3*z^6)/a^10 - (6*z^6)/a^8 - (13*z^6)/a^6 - (2*z^6)/a^4 + z^6/a^2 - 
   (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 52659] -> 
  a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (10*z^2)/a^10 + (13*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (8*z^4)/a^10 + (7*z^4)/a^8 - z^4/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (3*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52660] -> 
  a^(-16) - 4/a^14 + 3/a^12 - a^(-10) + a^(-8) + a^(-6) - z^2/a^16 - 
   (7*z^2)/a^14 + (9*z^2)/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 - z^4/a^14 + (11*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 52661] -> -1 + a^(-4) + 2*a^6 - a^8 - 
   3*z^2 + z^2/a^6 - z^2/a^4 - a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^4 - a^2*z^4 - 3*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 52662] -> a^(-6) - a^(-2) + a^2 - a^4 + a^6 - 2*z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + z^4 + 
   (2*z^4)/a^6 + (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 52663] -> -2/a^8 + 2/a^6 + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + z^4/a^8 + (15*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (10*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52664] -> 
  a^(-8) - 2/a^6 + 2/a^2 - z^2 + z^2/a^10 - (2*z^2)/a^8 - (2*z^2)/a^6 + 
   (3*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - (6*z^4)/a^8 + z^4/a^6 + 
   (9*z^4)/a^4 - z^4/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + 
   z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52665] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^12 - (4*z^2)/a^10 + (6*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52666] -> a^2 + a^4 - 2*a^8 + a^10 - z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 + a^4*z^2 + 2*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 + 
   2*a^2*z^4 + a^4*z^4 + 3*a^6*z^4 - z^6 - a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 52667] -> 1 + a^2 - a^4 - a^6 + a^8 - z^2/a^6 + 
   3*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 52668] -> -1 + a^(-4) + a^2 - a^4 + a^6 - 2*z^2 - 
   z^2/a^8 - z^2/a^4 + (2*z^2)/a^2 - 3*a^4*z^2 + 2*z^4 + (2*z^4)/a^6 + 
   z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - z^6/a^2, 
 Knot[15, Alternating, 52669] -> 2*a^4 - a^6 + 2*a^10 - 3*a^12 + a^14 + 
   3*a^4*z^2 + 4*a^6*z^2 - 6*a^8*z^2 + 7*a^10*z^2 - 3*a^12*z^2 - a^4*z^4 + 
   9*a^6*z^4 - 10*a^8*z^4 + 2*a^10*z^4 + 2*a^12*z^4 - 3*a^4*z^6 + 7*a^6*z^6 - 
   4*a^8*z^6 - 5*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8 - 
   2*a^10*z^8 + a^6*z^10 + a^8*z^10, Knot[15, Alternating, 52670] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + (6*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52671] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + a^8*z^2 - a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + 
   2*a^8*z^4 - 2*z^6 + 3*a^2*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 3*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52672] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + 
   (3*z^2)/a^8 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + 
   (13*z^4)/a^8 - (16*z^4)/a^6 + (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (20*z^6)/a^6 - (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52673] -> -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^12 - 
   (7*z^2)/a^10 + (7*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (10*z^4)/a^8 + (3*z^4)/a^6 - z^4/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52674] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   z^2/a^12 - (2*z^2)/a^10 + z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 - 
   (3*z^4)/a^10 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (2*z^6)/a^10 + 
   (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52675] -> -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52676] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 52677] -> 2*a^2 - 3*a^4 + a^6 + 4*a^8 - 3*a^10 + 
   4*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 15*a^8*z^2 - 5*a^10*z^2 + 3*a^2*z^4 - 
   6*a^4*z^4 - 9*a^6*z^4 + 16*a^8*z^4 - 4*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   7*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 52678] -> 
  1 - a^2 + a^6 + 2*a^8 - 2*a^10 + 2*z^2 - a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 
   6*a^8*z^2 - 2*a^10*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52679] -> 
  a^2 + a^4 - a^6 - z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 
   9*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 52680] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (4*z^2)/a^4 - (4*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 14*z^4 + 
   (6*z^4)/a^4 - (10*z^4)/a^2 + 19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52681] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 52682] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 - z^2/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 - z^4/a^6 - (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52683] -> 
  2*a^2 - 2*a^4 + 3*a^8 - 2*a^10 + 2*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 
   11*a^8*z^2 - 4*a^10*z^2 + a^2*z^4 - a^4*z^4 - 7*a^6*z^4 + 12*a^8*z^4 - 
   3*a^10*z^4 + 2*a^2*z^6 - 3*a^4*z^6 - 5*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 3*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52684] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 4*z^2 + 
   (3*z^2)/a^8 - (16*z^2)/a^6 + (21*z^2)/a^4 + z^2/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (21*z^4)/a^6 + (30*z^4)/a^4 + (4*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (25*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52685] -> 2*a^2 - a^4 - 8*z^2 + (2*z^2)/a^4 + 
   9*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (4*z^4)/a^4 - (4*z^4)/a^2 + 12*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52686] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) + 
   (3*z^2)/a^12 - (16*z^2)/a^10 + (21*z^2)/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (33*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (26*z^6)/a^8 + z^6/a^6 - (3*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 52687] -> 1 - a^4 + 2*a^6 - a^8 + 
   2*a^2*z^2 - 6*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 
   5*a^2*z^4 - 11*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 52688] -> a^(-12) - 3/a^10 - a^(-8) + 
   5/a^6 - a^(-4) + (3*z^2)/a^12 - (17*z^2)/a^10 + (16*z^2)/a^8 + 
   (9*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (24*z^4)/a^10 + (36*z^4)/a^8 + 
   (7*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (30*z^6)/a^8 + 
   (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 52689] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 4*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 - 
   6*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + (11*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (18*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52690] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   10*z^2 + z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   15*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52691] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - 
   (6*z^2)/a^10 - (15*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (9*z^4)/a^10 - (21*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52692] -> 
  -a^(-12) + 2/a^10 - a^(-8) - a^(-6) + a^(-4) + a^(-2) - z^2/a^12 + 
   (8*z^2)/a^10 - (11*z^2)/a^8 + (5*z^2)/a^6 + z^2/a^4 + z^2/a^2 + z^4/a^12 + 
   (3*z^4)/a^10 - (15*z^4)/a^8 + (9*z^4)/a^6 - z^4/a^4 - z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52693] -> 
  -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + (10*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (7*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52694] -> a^(-6) - a^(-4) + a^2 - 3*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 + z^4/a^8 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52695] -> -3 - 2/a^4 + 5/a^2 + a^2 - 11*z^2 - 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (3*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52696] -> 
  3*a^2 - 7*a^4 + 9*a^6 - 4*a^8 - 5*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   25*a^4*z^2 + 23*a^6*z^2 - 5*a^8*z^2 - 9*z^4 + z^4/a^2 + 19*a^2*z^4 - 
   32*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 
   10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 52697] -> 1 - a^2 + 3*a^6 - 2*a^8 + 2*z^2 + z^2/a^4 - 
   z^2/a^2 - 2*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 2*a^8*z^2 + 2*z^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 + 3*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, Knot[15, Alternating, 52698] -> 
  5*a^6 - 7*a^8 + 5*a^10 - 2*a^12 + z^2 + a^2*z^2 - 3*a^4*z^2 + 15*a^6*z^2 - 
   16*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + 
   12*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 52699] -> 
  2*a^2 - 2*a^4 + 2*a^6 - a^8 + z^2 + z^2/a^4 - z^2/a^2 + a^2*z^2 - 
   4*a^4*z^2 + 4*a^6*z^2 + z^4 - (3*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 - a^8*z^4 + 3*z^6 + a^2*z^6 + 2*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 52700] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   3*z^2 + (3*z^2)/a^8 - (18*z^2)/a^6 + (25*z^2)/a^4 - (3*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (23*z^4)/a^6 + (38*z^4)/a^4 - (3*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (28*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52701] -> -6 + 3/a^2 + 5*a^2 - a^4 - 17*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 13*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 - 19*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 52702] -> 
  1 + a^(-10) - 4/a^8 + 7/a^6 - 6/a^4 + 2/a^2 + 2*z^2 + z^2/a^10 - 
   (8*z^2)/a^8 + (19*z^2)/a^6 - (17*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 - (2*z^4)/a^8 + (16*z^4)/a^6 - (19*z^4)/a^4 + z^6 + (2*z^6)/a^8 + 
   (4*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52703] -> -4/a^8 + 7/a^6 - 3/a^4 + a^(-2) - z^2/a^10 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52704] -> -4 - 3/a^4 + 7/a^2 + a^2 - 12*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 52705] -> -4 - 2/a^4 + 6/a^2 + a^4 - 
   11*z^2 - (6*z^2)/a^4 + (16*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 9*z^4 - 
   z^4/a^6 - (4*z^4)/a^4 + (18*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - 
   z^6/a^6 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 52706] -> 2*a^6 + a^8 - 2*a^10 + a^2*z^2 - 2*a^4*z^2 + 
   7*a^6*z^2 + 6*a^8*z^2 - 4*a^10*z^2 + 3*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 
   10*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 52707] -> -a^2 + 5*a^4 - 3*a^6 - z^2 - 
   a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 + 10*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 52708] -> a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (15*z^2)/a^6 - (2*z^2)/a^4 + 
   z^4/a^12 - (5*z^4)/a^10 + (13*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52709] -> 
  -1 + 3/a^6 - 8/a^4 + 7/a^2 - 3*z^2 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (22*z^2)/a^4 + (17*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (4*z^4)/a^6 - 
   (23*z^4)/a^4 + (17*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (13*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52710] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (12*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - 14*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (13*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52711] -> a^(-12) - 5/a^10 + 3/a^8 + 3/a^6 - 
   a^(-4) + (3*z^2)/a^12 - (16*z^2)/a^10 + (16*z^2)/a^8 + (10*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^4)/a^12 - (21*z^4)/a^10 + (29*z^4)/a^8 + (10*z^4)/a^6 - 
   (6*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (25*z^6)/a^8 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 52712] -> 
  a^(-2) - 2*a^4 + 3*a^6 - a^8 - 4*z^2 + z^2/a^4 + z^2/a^2 + 2*a^2*z^2 - 
   8*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 11*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 52713] -> 
  -4 + a^(-6) - a^(-4) + 2/a^2 + 3*a^2 - 16*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (9*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + z^4/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52714] -> a^2 + a^4 - a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 + 16*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 52715] -> a^(-6) - a^(-4) + a^2 - 4*z^2 - 
   z^2/a^8 + (5*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 7*z^4 - 
   z^4/a^8 + (7*z^4)/a^6 - (14*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52716] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 13*z^2 + z^2/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 + 
   11*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + z^4/a^6 - (6*z^4)/a^4 + (13*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 52717] -> 4*a^6 - 5*a^8 + 4*a^10 - 2*a^12 + 2*z^2 - 
   a^2*z^2 + 10*a^6*z^2 - 11*a^8*z^2 + 9*a^10*z^2 - a^12*z^2 + z^4 - 
   4*a^2*z^4 - 3*a^4*z^4 + 7*a^6*z^4 - 13*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 + 
   5*a^6*z^6 - 5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, 
 Knot[15, Alternating, 52718] -> 4*a^2 - 8*a^4 + 8*a^6 - 3*a^8 - 5*z^2 + 
   z^2/a^2 + 16*a^2*z^2 - 26*a^4*z^2 + 21*a^6*z^2 - 5*a^8*z^2 - 8*z^4 + 
   z^4/a^2 + 21*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   13*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 3*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 52719] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 17*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52720] -> -1 + 4*a^2 - 3*a^4 + 2*a^6 - a^8 - 
   2*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, 
 Knot[15, Alternating, 52721] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 21*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (10*z^2)/a^2 + 9*a^2*z^2 - 26*z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (5*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 52722] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + (2*z^2)/a^8 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (6*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 - 
   (18*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 52723] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 16*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (14*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52724] -> 1 + a^(-10) - 3/a^8 + 6/a^6 - 
   7/a^4 + 3/a^2 + 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (17*z^2)/a^6 - 
   (19*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (15*z^4)/a^6 - (20*z^4)/a^4 + z^6 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52725] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (12*z^4)/a^8 - (2*z^4)/a^6 - (12*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52726] -> 3*a^2 - 3*a^4 + a^6 - 5*z^2 + 11*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 2*a^6*z^4 - 7*z^6 + 
   (3*z^6)/a^2 + 4*a^2*z^6 + 5*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   2*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52727] -> 
  4*a^6 - 3*a^8 + a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 + 2*a^8*z^2 - 3*a^10*z^2 + 
   3*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   7*a^4*z^6 - 2*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52728] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   (5*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + (3*z^4)/a^4 + 12*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52729] -> -a^(-8) + a^(-6) + a^(-2) - (4*z^2)/a^10 + 
   (9*z^2)/a^8 - (2*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (17*z^4)/a^8 - (9*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (10*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52730] -> -2 + 2/a^2 + a^4 - 8*z^2 - (3*z^2)/a^4 + 
   (8*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 8*z^4 - z^4/a^6 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + (9*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 52731] -> 
  1 + z^2 - z^2/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + (2*z^2)/a^2 - 2*z^4 + 
   z^4/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52732] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 2*z^2 - 
   3*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - a^2*z^4 - a^4*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 - 2*z^6 + 3*a^2*z^6 - 5*a^6*z^6 + a^8*z^6 - z^8 + 
   3*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 52733] -> -2/a^6 + 3/a^4 - z^2/a^10 + (2*z^2)/a^8 - 
   z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - 
   (9*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (15*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52734] -> 1 - 2/a^4 + 3/a^2 - a^2 - 4*z^2 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 - 8*z^4 - (3*z^4)/a^6 - z^4/a^4 + 
   (19*z^4)/a^2 + a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52735] -> 
  -2 - a^(-6) + a^(-4) + a^(-2) + 4*a^2 - 2*a^4 - 9*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (11*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52736] -> 
  -5 + a^(-8) - 4/a^4 + 7/a^2 + a^2 + a^4 - 10*z^2 + z^2/a^8 - (4*z^2)/a^6 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^8 - 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 + z^6/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2, Knot[15, Alternating, 52737] -> 
  a^4 + 4*a^6 - 8*a^8 + 6*a^10 - 2*a^12 + a^2*z^2 - a^4*z^2 + 14*a^6*z^2 - 
   18*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 4*a^4*z^4 + 
   13*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 - 2*a^2*z^6 - a^4*z^6 + 6*a^6*z^6 - 
   5*a^8*z^6 + a^4*z^8 + 2*a^6*z^8, Knot[15, Alternating, 52738] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 4*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + 
   (21*z^2)/a^4 - 6*z^4 + (3*z^4)/a^8 - (24*z^4)/a^6 + (37*z^4)/a^4 + 
   z^4/a^2 - 4*z^6 + z^6/a^8 - (14*z^6)/a^6 + (30*z^6)/a^4 + (5*z^6)/a^2 - 
   z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52739] -> 2 + a^(-10) - a^(-8) + a^(-6) - 2/a^4 + 
   z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 - 2*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52740] -> 
  a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - z^2/a^14 + z^2/a^12 - (4*z^2)/a^10 + 
   (5*z^2)/a^8 + (6*z^2)/a^6 - z^4/a^14 + (3*z^4)/a^12 + z^4/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^4 + (2*z^6)/a^12 - (3*z^6)/a^8 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52741] -> -a^(-12) + 4/a^10 - 7/a^8 + 4/a^6 + a^(-4) - 
   z^2/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - (15*z^2)/a^8 + (6*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^4)/a^12 + (2*z^4)/a^10 - (15*z^4)/a^8 - (2*z^4)/a^6 + 
   (4*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (8*z^6)/a^8 - (5*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 52742] -> 1 - 3/a^8 + 8/a^6 - 7/a^4 + 
   2/a^2 + 2*z^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - (16*z^2)/a^4 + (2*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 - (3*z^4)/a^8 + (17*z^4)/a^6 - (14*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52743] -> a^(-12) - 3/a^10 + 2/a^6 + 2/a^4 - a^(-2) + 
   (2*z^2)/a^12 - (10*z^2)/a^10 + (5*z^2)/a^8 + (10*z^2)/a^6 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + (12*z^4)/a^8 + (14*z^4)/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + (10*z^6)/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52744] -> 1 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + 
   8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   17*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 52745] -> 1 + a^(-6) - 2/a^4 + a^(-2) - 4*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52746] -> 
  a^(-16) - a^(-14) - 6/a^12 + 7/a^10 + (2*z^2)/a^16 - (13*z^2)/a^14 - 
   (3*z^2)/a^12 + (27*z^2)/a^10 - z^4/a^16 - (14*z^4)/a^14 + (16*z^4)/a^12 + 
   (38*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (18*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 52747] -> a^(-16) - 3/a^14 + a^(-12) - 
   a^(-10) + 3/a^8 - (7*z^2)/a^14 + (3*z^2)/a^12 + (6*z^2)/a^10 + 
   (10*z^2)/a^8 - z^4/a^16 - (3*z^4)/a^14 + (8*z^4)/a^12 + (14*z^4)/a^10 + 
   (12*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 52748] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52749] -> -2 + 7*a^2 - 5*a^4 + a^6 - 2*z^2 - 
   z^2/a^4 + 13*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 - 
   z^4/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 5*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 52750] -> 
  -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 21*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 + 16*a^2*z^2 - 4*a^4*z^2 - 26*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (17*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52751] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   16*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52752] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   5*z^4 + (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   z^6 - (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 52753] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 2*z^2 + 
   z^2/a^8 - z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - 
   (8*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52754] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52755] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 5*z^2 + z^2/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (9*z^2)/a^2 - 7*z^4 + z^4/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 + (4*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 52756] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (10*z^2)/a^2 - z^4 + z^4/a^8 + z^4/a^6 - (8*z^4)/a^4 + 
   (12*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (7*z^6)/a^4 + (4*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52757] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 13*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52758] -> -1 + 2*a^2 + 2*a^6 - 2*a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 9*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 9*a^2*z^4 - 12*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52759] -> 
  -1 + 2*a^2 + a^4 - a^8 + z^2/a^4 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 52760] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 3*z^2 + 
   z^2/a^2 + 5*a^2*z^2 - a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 5*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 5*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52761] -> 
  -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^2 + 12*a^2*z^2 - 
   11*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 14*a^2*z^4 - 
   13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 52762] -> -2/a^4 + 3/a^2 + a^2 - a^4 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52763] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 
   10*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 - 14*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 52764] -> 3*a^6 - a^8 - a^10 + z^2 + a^2*z^2 - 
   5*a^4*z^2 + 12*a^6*z^2 - a^8*z^2 - a^10*z^2 + z^4 + a^2*z^4 - 11*a^4*z^4 + 
   11*a^6*z^4 + a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 + 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52765] -> 
  -1 + a^(-2) + 2*a^4 - a^6 - 3*z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 
   5*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   5*z^6 - z^6/a^4 + (5*z^6)/a^2 + 6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 52766] -> 
  -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - z^2/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 5*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 52767] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (7*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52768] -> -2/a^10 + a^(-8) + 2/a^6 + (2*z^2)/a^12 - 
   (7*z^2)/a^10 + (4*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (11*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52769] -> -a^(-6) + a^(-4) + a^(-2) - z^2 + 
   (2*z^2)/a^8 - (11*z^2)/a^6 + (16*z^2)/a^4 - (4*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (20*z^4)/a^6 + (31*z^4)/a^4 - (5*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (26*z^6)/a^4 + z^6/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52770] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (2*z^2)/a^6 + (6*z^2)/a^4 - (5*z^2)/a^2 - z^4 + 
   z^4/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + (10*z^4)/a^4 - (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (9*z^6)/a^4 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 52771] -> -a^(-10) - a^(-8) + 3/a^6 + 
   z^2/a^12 - (4*z^2)/a^10 + (12*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (9*z^4)/a^10 + (3*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (8*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52772] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + z^2/a^12 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (5*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (3*z^4)/a^10 + (3*z^4)/a^6 + (4*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (4*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52773] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 9*z^2 - 
   (8*z^2)/a^6 + (26*z^2)/a^4 - (26*z^2)/a^2 + 20*z^4 - (12*z^4)/a^6 + 
   (52*z^4)/a^4 - (61*z^4)/a^2 + 18*z^6 - (6*z^6)/a^6 + (42*z^6)/a^4 - 
   (62*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 52774] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 7*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (10*z^2)/a^4 - (17*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (9*z^4)/a^6 + 
   (6*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 52775] -> 1 - 5*a^2 + 10*a^4 - 5*a^6 + 
   5*z^2 - 26*a^2*z^2 + 42*a^4*z^2 - 16*a^6*z^2 + 16*z^4 - 54*a^2*z^4 + 
   66*a^4*z^4 - 17*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 48*a^4*z^6 - 7*a^6*z^6 + 
   7*z^8 - 32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 52776] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 - 8*a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 - 4*z^4 + 
   (4*z^4)/a^2 - 9*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 
   9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 52777] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 + 5*z^2 - 16*a^2*z^2 + 16*a^4*z^2 + 
   3*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 22*a^2*z^4 + 12*a^4*z^4 + 11*a^6*z^4 - 
   4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 52778] -> 1 - 2*a^2 + 3*a^4 - a^8 - z^2 + z^2/a^2 - 
   4*a^2*z^2 + 7*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 52779] -> 9 - 4/a^2 - 4*a^2 + 44*z^2 + (8*z^2)/a^4 - 
   (32*z^2)/a^2 - 16*a^2*z^2 + 78*z^4 + (12*z^4)/a^4 - (57*z^4)/a^2 - 
   25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 52780] -> 4 - a^(-4) - 2*a^2 + 14*z^2 + 
   (4*z^2)/a^6 - (10*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 52781] -> 
  -3/a^6 + 5/a^4 - a^(-2) + (4*z^2)/a^8 - (17*z^2)/a^6 + (25*z^2)/a^4 - 
   (8*z^2)/a^2 + (8*z^4)/a^8 - (36*z^4)/a^6 + (49*z^4)/a^4 - (16*z^4)/a^2 + 
   (5*z^6)/a^8 - (32*z^6)/a^6 + (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 52782] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 10*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 17*z^4 - (4*z^4)/a^6 + (16*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 - 14*z^6 - z^6/a^6 + (10*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52783] -> 2*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 8*a^2*z^4 + 
   5*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 52784] -> -a^(-6) + 3/a^4 - 2/a^2 + a^2 - 4*z^2 - 
   z^2/a^8 + (7*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (5*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + 
   (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 52785] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (11*z^4)/a^4 - (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (9*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52786] -> -a^(-8) + 2/a^4 - z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 + (10*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52787] -> 
  -2/a^10 + 2/a^8 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 + z^2/a^8 + 
   (4*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52788] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52789] -> 
  1 - 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + a^2*z^2 - 
   7*z^4 - z^4/a^8 + (6*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52790] -> 
  -a^(-6) + a^(-4) + a^(-2) + 6*z^2 - (6*z^2)/a^6 + (19*z^2)/a^4 - 
   (17*z^2)/a^2 + 15*z^4 - (9*z^4)/a^6 + (39*z^4)/a^4 - (45*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 52791] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 + 
   6*z^2 - 27*a^2*z^2 + 42*a^4*z^2 - 15*a^6*z^2 + 15*z^4 - 50*a^2*z^4 + 
   58*a^4*z^4 - 14*a^6*z^4 + 14*z^6 - 49*a^2*z^6 + 40*a^4*z^6 - 6*a^6*z^6 + 
   6*z^8 - 27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 52792] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (5*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (9*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52793] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 - 2*z^2 + 
   z^2/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 14*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52794] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + 4*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 15*a^8*z^2 - 
   6*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 - 4*a^6*z^4 + 17*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52795] -> a^4 + 2*a^8 - 2*a^10 + 2*z^2 - a^2*z^2 - 
   a^4*z^2 + 4*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 
   6*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 52796] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + z^2 + 
   (5*z^2)/a^4 - (11*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 
   (7*z^4)/a^4 - (16*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52797] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - (4*z^2)/a^10 + (20*z^2)/a^8 - 
   (27*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (30*z^4)/a^8 - 
   (46*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (35*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52798] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   (4*z^2)/a^16 - (23*z^2)/a^14 + (11*z^2)/a^12 + (22*z^2)/a^10 - 
   (22*z^4)/a^14 + (30*z^4)/a^12 + (34*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - 
   (4*z^6)/a^14 + (24*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 52799] -> 
  3*a^6 + a^8 - 5*a^10 + 2*a^12 - 2*a^4*z^2 + 5*a^6*z^2 + 18*a^8*z^2 - 
   21*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 4*a^6*z^4 + 35*a^8*z^4 - 
   27*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 29*a^8*z^6 - 
   15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 52800] -> 
  1 - 7*a^2 + 14*a^4 - 7*a^6 + 9*z^2 - 37*a^2*z^2 + 54*a^4*z^2 - 19*a^6*z^2 + 
   20*z^4 - 67*a^2*z^4 + 75*a^4*z^4 - 18*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 
   50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 52801] -> 
  -3*a^2 + 9*a^4 - 5*a^6 - 3*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 + 24*a^4*z^2 - 
   9*a^6*z^2 - 7*z^4 + (5*z^4)/a^2 - 11*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 52802] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 9*z^2 - 
   (4*z^2)/a^6 + (18*z^2)/a^4 - (23*z^2)/a^2 + 16*z^4 - (8*z^4)/a^6 + 
   (36*z^4)/a^4 - (49*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - 
   (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 52803] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - (9*z^2)/a^10 + (33*z^2)/a^8 - 
   (40*z^2)/a^6 + (18*z^2)/a^4 - (12*z^4)/a^10 + (58*z^4)/a^8 - 
   (76*z^4)/a^6 + (26*z^4)/a^4 - (6*z^6)/a^10 + (43*z^6)/a^8 - (69*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 52804] -> -a^(-10) + 2/a^8 - 3/a^4 + 3/a^2 - 
   (5*z^2)/a^10 + (14*z^2)/a^8 - (3*z^2)/a^6 - (14*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (9*z^4)/a^6 - (22*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52805] -> 1 - 3*a^2 + 3*a^4 + 3*a^6 - 3*a^8 + 5*z^2 - 
   12*a^2*z^2 + 5*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 18*a^2*z^4 - 
   a^4*z^4 + 20*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 7*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 52806] -> 
  1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + z^2 + z^2/a^2 - 7*a^2*z^2 + 7*a^4*z^2 + 
   6*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 52807] -> 
  a^4 + 2*a^8 - 2*a^10 + 3*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 10*a^8*z^2 - 
   5*a^10*z^2 + 6*a^2*z^4 - 12*a^4*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 
   4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 52808] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (6*z^4)/a^6 + 
   (12*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52809] -> 
  3*a^2 - 3*a^4 + a^6 + 7*z^2 - (4*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 
   4*a^6*z^2 + 14*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 
   11*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 52810] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (3*z^2)/a^10 + (13*z^2)/a^8 - 
   (15*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - 
   (28*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (25*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52811] -> -a^(-14) + a^(-12) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (5*z^2)/a^12 + z^2/a^10 - (6*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - (12*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52812] -> 1 - a^2 + a^4 + a^6 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 9*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52813] -> 
  3*a^2 - 3*a^4 + a^6 - 4*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 + 10*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 52814] -> -2 + 2/a^2 + a^4 - 6*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 52815] -> -2/a^10 + 2/a^8 + a^(-4) + (2*z^2)/a^12 - 
   (12*z^2)/a^10 + (18*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (19*z^4)/a^10 + (31*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + z^6/a^12 - 
   (13*z^6)/a^10 + (25*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52816] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (4*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 + z^4/a^12 - (6*z^4)/a^10 + 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52817] -> 2 - a^(-4) + a^(-2) - a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 - 4*a^2*z^2 + 14*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 52818] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + (6*z^2)/a^8 - (24*z^2)/a^6 + (34*z^2)/a^4 - 
   (11*z^2)/a^2 + (11*z^4)/a^8 - (49*z^4)/a^6 + (65*z^4)/a^4 - (21*z^4)/a^2 + 
   (6*z^6)/a^8 - (41*z^6)/a^6 + (63*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - 
   (15*z^8)/a^6 + (33*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 52819] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (4*z^4)/a^6 + (14*z^4)/a^4 - (7*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (7*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + (5*z^8)/a^6 + 
   (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 52820] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + 
   (4*z^2)/a^8 - (13*z^2)/a^6 + (15*z^2)/a^4 - 5*z^4 + (4*z^4)/a^8 - 
   (18*z^4)/a^6 + (16*z^4)/a^4 + (6*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (11*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52821] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + (2*z^2)/a^10 - 
   (3*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (2*z^4)/a^6 + (7*z^4)/a^4 - z^6 - (2*z^6)/a^8 + z^6/a^6 + 
   (6*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52822] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + 
   (10*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 52823] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52824] -> 2 + a^(-4) - 2/a^2 - z^2/a^6 + z^2/a^4 - 
   2*a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 52825] -> 
  1 - 3*a^2 + 5*a^4 - a^6 - a^8 + z^2/a^2 - 5*a^2*z^2 + 7*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 - 3*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 52826] -> -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (13*z^4)/a^8 - (8*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (7*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52827] -> 3/a^8 - 7/a^6 + 4/a^4 + a^(-2) - 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (3*z^2)/a^8 - (20*z^2)/a^6 + (8*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - (5*z^4)/a^8 - (24*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (14*z^6)/a^6 - 
   (2*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 52828] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 - z^2/a^14 + 
   (4*z^2)/a^12 - (10*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - z^4/a^14 + 
   (6*z^4)/a^12 - (6*z^4)/a^10 + (7*z^4)/a^6 + z^4/a^4 + (3*z^6)/a^12 - 
   (4*z^6)/a^10 - (6*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52829] -> 
  2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + z^2/a^16 - (12*z^2)/a^14 + 
   (7*z^2)/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^16 - (5*z^4)/a^14 + 
   (11*z^4)/a^12 + (17*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52830] -> 2*a^4 - 2*a^6 + 5*a^8 - 6*a^10 + 2*a^12 - 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 14*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 + 2*a^4*z^4 + 3*a^6*z^4 + 15*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 5*a^6*z^6 + 8*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 52831] -> 
  -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - (4*z^2)/a^10 + (12*z^2)/a^8 - 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (17*z^4)/a^8 - 
   (8*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52832] -> 1 - a^(-10) + 2/a^8 - 2/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 - z^2/a^2 + 
   3*z^4 - z^4/a^10 + (5*z^4)/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 - 
   (4*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52833] -> 
  1 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (12*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 52834] -> 
  -1 + a^(-2) + a^2 - 4*z^2 - z^2/a^8 + (2*z^2)/a^6 + 2*a^2*z^2 - 4*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 52835] -> 2*a^4 - 2*a^6 + 3*a^8 - 2*a^10 + z^2 - 
   a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 6*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 52836] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - 5*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (4*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 52837] -> -1 + a^(-2) + a^2 - 2*z^2 - (2*z^2)/a^6 + 
   (9*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - (3*z^4)/a^6 + 
   (18*z^4)/a^4 - (23*z^4)/a^2 + 5*a^2*z^4 - 5*z^6 - z^6/a^6 + (13*z^6)/a^4 - 
   (23*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 52838] -> 
  -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - (2*z^4)/a^10 + (10*z^4)/a^8 - (9*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + 
   (3*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52839] -> 
  -a^(-14) + a^(-12) - 2/a^10 + 2/a^8 + a^(-6) - (4*z^2)/a^14 + 
   (10*z^2)/a^12 - (10*z^2)/a^10 + (10*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^14 + (22*z^4)/a^12 - (23*z^4)/a^10 + (10*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 52840] -> 
  -a^(-14) + a^(-12) - a^(-10) + 2/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (4*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52841] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (7*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (19*z^4)/a^4 - 
   (24*z^4)/a^2 + 6*a^2*z^4 - 6*z^6 - z^6/a^6 + (13*z^6)/a^4 - (24*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 52842] -> 
  -1 + a^(-2) + a^2 - z^2 - z^2/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (10*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 52843] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (5*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (5*z^4)/a^4 - (8*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 52844] -> -a^(-4) + 2/a^2 - 5*z^2 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 7*z^4 + (4*z^4)/a^2 + 7*a^2*z^4 - 
   2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52845] -> -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (12*z^2)/a^8 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (18*z^4)/a^10 + (26*z^4)/a^8 - (5*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (24*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 52846] -> -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 - 
   (4*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 + z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (5*z^4)/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (7*z^6)/a^6 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52847] -> -a^(-10) - 2/a^8 + 5/a^6 - a^(-4) + 
   z^2/a^12 - (2*z^2)/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - (4*z^4)/a^8 + (22*z^4)/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (2*z^6)/a^8 + (14*z^6)/a^6 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52848] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^10 - 
   z^2/a^8 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (3*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52849] -> -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (7*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 - z^4/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52850] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 18*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52851] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 + (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (9*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (14*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52852] -> 
  -1 - 2/a^4 + 4/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 + z^4/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 52853] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52854] -> 
  1 + z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - 2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 52855] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 12*a^2*z^2 - 16*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 17*a^2*z^4 - 21*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52856] -> 
  -4/a^8 + 6/a^6 - a^(-4) + (2*z^2)/a^12 - (8*z^2)/a^10 + (2*z^2)/a^8 + 
   (15*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + (20*z^4)/a^8 + 
   (12*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (23*z^6)/a^8 + 
   (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 52857] -> 
  -a^(-4) + 2/a^2 - 3*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52858] -> 
  -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - 
   (2*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + 
   (5*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 52859] -> a^(-4) - a^(-2) + a^2 + z^2 - (2*z^2)/a^6 + 
   (14*z^2)/a^4 - (19*z^2)/a^2 + 4*a^2*z^2 - z^4 - (3*z^4)/a^6 + 
   (23*z^4)/a^4 - (37*z^4)/a^2 + 6*a^2*z^4 - 5*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (30*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 52860] -> 
  a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + (13*z^2)/a^8 - (18*z^2)/a^6 + 
   (3*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - (34*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (27*z^6)/a^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52861] -> 
  2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 52862] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^2 + 
   12*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (3*z^4)/a^6 - (6*z^4)/a^4 + z^4/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52863] -> 1 - a^2 + a^4 + a^6 - a^8 + 2*z^2 + 
   z^2/a^2 - 6*a^2*z^2 + a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 5*z^6 + 
   z^6/a^2 + 2*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52864] -> 
  -a^(-4) + 2/a^2 - (2*z^2)/a^10 + (8*z^2)/a^8 - (6*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (21*z^4)/a^6 - (6*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52865] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - 
   (2*z^4)/a^6 - (12*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52866] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^10 + (8*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 + z^6 + (3*z^6)/a^8 - 
   (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52867] -> -2 - 3/a^4 + 6/a^2 - 9*z^2 - z^2/a^6 - 
   (5*z^2)/a^4 + (17*z^2)/a^2 + a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + z^4/a^4 + 
   (18*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 52868] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 2*z^2 - z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - 
   (9*z^2)/a^2 + a^2*z^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (4*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52869] -> 2*a^4 - a^8 + z^2/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 + 4*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - a^2*z^4 - 
   4*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 3*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 52870] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (5*z^2)/a^10 + (12*z^2)/a^8 - (11*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + 
   (18*z^4)/a^8 - (6*z^4)/a^6 - (19*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52871] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 + 
   (3*z^2)/a^2 + 11*a^2*z^2 - 9*a^4*z^2 + 3*a^6*z^2 - 4*z^4 - z^4/a^2 + 
   10*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 52872] -> a^6 + 6*a^8 - 9*a^10 + 3*a^12 - 
   a^4*z^2 - a^6*z^2 + 31*a^8*z^2 - 30*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 - 
   2*a^6*z^4 + 47*a^8*z^4 - 34*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   3*a^6*z^6 + 34*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 52873] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - 3*a^4*z^2 + 
   12*a^6*z^2 + 5*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 4*a^4*z^4 + 
   15*a^6*z^4 + 8*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 52874] -> -1 + 3*a^2 - a^4 + a^6 - a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (3*z^4)/a^2 + 7*a^2*z^4 - 10*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + 
   z^6/a^2 + 7*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52875] -> 
  3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 + 4*a^2*z^2 - 12*a^4*z^2 + 15*a^6*z^2 - 
   5*a^8*z^2 + 4*z^4 - 3*a^2*z^4 - 13*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 
   4*z^6 - 8*a^2*z^6 - 10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 
   5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 52876] -> -5 - a^(-4) + 5/a^2 + a^2 + a^4 - 14*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 - a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - z^6/a^6 + 
   z^6/a^4 + (12*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 52877] -> 1 - a^2 - 2*a^4 + 7*a^6 - 4*a^8 + 5*z^2 - 
   6*a^2*z^2 - 10*a^4*z^2 + 24*a^6*z^2 - 8*a^8*z^2 + 8*z^4 - 13*a^2*z^4 - 
   17*a^4*z^4 + 26*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 14*a^4*z^6 + 
   12*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 52878] -> 
  1 - a^2 - a^4 + 5*a^6 - 3*a^8 + 2*z^2 + z^2/a^2 - 6*a^2*z^2 + 10*a^6*z^2 - 
   3*a^8*z^2 + (2*z^4)/a^2 - 10*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 
   2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 52879] -> 12 + a^(-4) - 7/a^2 - 5*a^2 + 
   45*z^2 + (6*z^2)/a^4 - (30*z^2)/a^2 - 17*a^2*z^2 + 68*z^4 + (17*z^4)/a^4 - 
   (57*z^4)/a^2 - 17*a^2*z^4 + 48*z^6 + (17*z^6)/a^4 - (58*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (32*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 52880] -> 
  7 + a^(-4) - 5/a^2 - a^2 - a^4 + 16*z^2 + (4*z^2)/a^4 - (16*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 11*z^4 + (8*z^4)/a^4 - (20*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 52881] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 6*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 3*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52882] -> 
  -a^(-10) - a^(-8) + 3/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 - (6*z^2)/a^8 + 
   (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - (3*z^4)/a^10 - 
   (12*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52883] -> 2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 + 
   z^2/a^16 - (20*z^2)/a^14 + (19*z^2)/a^12 + (15*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (14*z^4)/a^14 + (32*z^4)/a^12 + (27*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (22*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 52884] -> a^(-16) - 4/a^14 + 4/a^10 - (10*z^2)/a^14 + 
   (7*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (13*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52885] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 3*z^2 + 
   (3*z^2)/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - z^4 + 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 5*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 52886] -> -4 - 2/a^6 - a^(-4) + 8/a^2 - 10*z^2 + 
   z^2/a^8 - (8*z^2)/a^6 + (5*z^2)/a^4 + (19*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (12*z^4)/a^6 + (12*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52887] -> 2 - 2/a^2 + 4*a^2 - 3*a^4 + 6*z^2 - 
   (6*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 11*z^4 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 52888] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 - (4*z^2)/a^14 + (18*z^2)/a^12 - 
   (30*z^2)/a^10 + (14*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + 
   (28*z^4)/a^12 - (43*z^4)/a^10 + (12*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + 
   (16*z^6)/a^12 - (33*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 52889] -> 2/a^12 - 5/a^10 + 2/a^8 + a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (8*z^2)/a^10 - z^2/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (7*z^4)/a^10 - (9*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52890] -> -a^(-4) + 2/a^2 - (2*z^2)/a^10 + 
   (12*z^2)/a^8 - (14*z^2)/a^6 + (5*z^2)/a^2 - (3*z^4)/a^10 + (22*z^4)/a^8 - 
   (33*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (29*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52891] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + 2*z^4 - 
   z^4/a^10 + (7*z^4)/a^8 - (7*z^4)/a^6 - (10*z^4)/a^4 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52892] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + 
   (4*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (24*z^4)/a^6 + (24*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (26*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52893] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - z^4/a^6 + (11*z^4)/a^4 + 
   (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 52894] -> a^(-12) - 5/a^10 + 5/a^8 - a^(-6) + a^(-4) - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - (9*z^2)/a^10 + (8*z^2)/a^8 + z^2/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52895] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (4*z^2)/a^8 - (10*z^2)/a^6 + (2*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (17*z^4)/a^6 + (7*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52896] -> -2/a^6 + 3/a^4 - 2*z^2 + (2*z^2)/a^10 - 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - (4*z^4)/a^6 + (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 52897] -> 
  1 + a^2 - 5*a^4 + 7*a^6 - 3*a^8 + z^2/a^2 + 3*a^2*z^2 - 14*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 - 19*a^4*z^4 + 
   11*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 7*a^2*z^6 - 12*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 52898] -> a^(-4) - 2*a^2 + 2*a^4 - 3*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 + (3*z^2)/a^2 - 6*a^2*z^2 + 2*a^4*z^2 - z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (8*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - 
   z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 52899] -> 
  1 - a^(-10) + a^(-8) + a^(-6) - a^(-4) + 3*z^2 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (5*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52900] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 52901] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - (4*z^2)/a^2 + 
   a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - z^4/a^4 - (2*z^4)/a^2 - 
   5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 52902] -> 
  3 - a^(-2) - 2*a^2 + a^4 + a^6 - a^8 + 4*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 52903] -> 2 - 2*a^2 - a^4 + 4*a^6 - 2*a^8 + 
   3*z^2 - 7*a^2*z^2 + 8*a^6*z^2 - 3*a^8*z^2 + z^4 + (2*z^4)/a^2 - 
   9*a^2*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 52904] -> -3 - a^(-6) + 3/a^4 + a^2 + a^4 - 8*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 4*z^4 - 
   z^4/a^8 - (2*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (4*z^6)/a^4 + (4*z^6)/a^2, Knot[15, Alternating, 52905] -> 
  4 + a^(-4) - 3/a^2 - 2*a^2 + 2*a^4 - a^6 + 7*z^2 + (3*z^2)/a^4 - 
   (9*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 - a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 52906] -> a^(-12) - 4/a^10 + 2/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (11*z^2)/a^12 - (14*z^2)/a^10 + (7*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (23*z^4)/a^12 - (26*z^4)/a^10 + (7*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 52907] -> -a^(-8) + a^(-6) + a^(-2) - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (20*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 52908] -> 2/a^16 - 7/a^14 + 3/a^12 + 
   3/a^10 + z^2/a^16 - (21*z^2)/a^14 + (20*z^2)/a^12 + (14*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (15*z^4)/a^14 + (35*z^4)/a^12 + 
   (26*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (23*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 52909] -> 2 - a^2 - a^4 + a^6 + 6*z^2 - 
   z^2/a^4 - (2*z^2)/a^2 - a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^4 + (2*z^4)/a^2 + 7*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 2*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 52910] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   5*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52911] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 7*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (4*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (6*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52912] -> 
  -2/a^10 + a^(-8) + 2/a^6 - z^2/a^14 + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (5*z^4)/a^12 + (3*z^4)/a^10 - 
   (11*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52913] -> -a^(-14) + 2/a^12 - 2/a^10 - a^(-8) + 
   3/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - (6*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (14*z^4)/a^8 + 
   (9*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (13*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52914] -> -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^12 + 
   (7*z^2)/a^10 - (7*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^12 + (10*z^4)/a^10 - (15*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 52915] -> -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (4*z^2)/a^12 - (2*z^2)/a^10 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (3*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 52916] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) - (10*z^2)/a^14 + 
   (6*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (12*z^4)/a^12 + (20*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52917] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (10*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52918] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^8 - (5*z^2)/a^6 + (9*z^2)/a^4 - 
   (5*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + (19*z^4)/a^4 - 
   (5*z^4)/a^2 - 3*z^6 + z^6/a^8 - (11*z^6)/a^6 + (20*z^6)/a^4 + z^6/a^2 - 
   z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52919] -> -1 + a^(-2) + a^2 - 4*z^2 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - (2*z^4)/a^6 + (11*z^4)/a^4 - 
   (14*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + (11*z^6)/a^4 - (18*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 52920] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - z^2/a^10 + (7*z^2)/a^8 - (11*z^2)/a^6 + 
   (4*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (14*z^4)/a^8 - (22*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - (21*z^6)/a^6 - 
   (2*z^6)/a^4 + (3*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - (3*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52921] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52922] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 
   z^2/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52923] -> 
  -a^(-10) + a^(-8) + a^(-2) + z^2/a^12 - (4*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + 
   (8*z^4)/a^8 - (3*z^4)/a^6 + z^4/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52924] -> 
  a^(-2) - a^2 + a^4 - 6*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 - 
   10*z^4 + z^4/a^6 - (9*z^4)/a^4 + (15*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 
   8*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 52925] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 + z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - 4*a^2*z^2 + 2*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + a^2*z^4 - 
   a^4*z^4 + (3*z^6)/a^4 + 2*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 52926] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 - z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 - (4*z^4)/a^2 + 
   z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 52927] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 - z^2/a^8 + (5*z^2)/a^6 - (11*z^2)/a^2 + 
   2*a^2*z^2 + z^4 - z^4/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 - (15*z^4)/a^2 + 
   2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 52928] -> 
  2/a^12 - 7/a^10 + 6/a^8 - a^(-6) + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (13*z^2)/a^10 + (11*z^2)/a^8 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (11*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 52929] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - 
   a^(-2) + 2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (10*z^4)/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52930] -> 2 - a^2 - a^4 + 2*a^8 - a^10 + z^2 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - z^4 - 
   (2*z^4)/a^2 - 3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 52931] -> 2*a^4 - a^6 + a^10 - a^12 + z^2/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   2*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 52932] -> -1 + 2/a^4 - a^(-2) + a^6 - 
   2*z^2 - z^2/a^8 - z^2/a^6 + z^2/a^4 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + 
   z^4/a^6 + (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4, 
 Knot[15, Alternating, 52933] -> 3*a^8 - a^10 - a^14 + z^2 + a^2*z^2 + 
   2*a^4*z^2 + a^6*z^2 + 4*a^8*z^2 + 2*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 - 2*a^8*z^4 - a^10*z^4, 
 Knot[15, Alternating, 52934] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 3*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 - 9*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 52935] -> a^(-4) - a^(-2) + 2*a^4 - a^6 - 
   3*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + 4*a^4*z^2 - a^6*z^2 - 4*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 52936] -> 
  1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 + z^2/a^4 - z^2/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 52937] -> 
  1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52938] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (13*z^4)/a^8 - (14*z^4)/a^6 - (7*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 52939] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + (5*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 52940] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - 
   (3*z^2)/a^6 + (2*z^2)/a^4 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 - z^4/a^6 - 
   (4*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52941] -> -a^4 + 3*a^6 + 2*a^8 - 3*a^10 + z^2 + 
   4*a^6*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 4*a^4*z^4 + 
   a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52942] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + (5*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^4 - (9*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (17*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (10*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 52943] -> 1 - 2*a^4 + 4*a^6 - 2*a^8 - 2*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 10*a^4*z^2 + 11*a^6*z^2 - 2*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 7*a^2*z^4 - 17*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52944] -> 
  -3 + 3/a^2 - a^2 + 2*a^4 - 5*z^2 - (2*z^2)/a^6 + (6*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 - z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (9*z^4)/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (6*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 52945] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + z^2 - z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (2*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (8*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 - z^8 - 
   (3*z^8)/a^6 + (8*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52946] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52947] -> 
  -4 - a^(-4) + 5/a^2 - a^2 + 2*a^4 - 7*z^2 - (2*z^2)/a^6 - z^2/a^4 + 
   (10*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   (12*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 52948] -> -2*a^4 + 6*a^6 - a^8 - 2*a^10 + 2*z^2 - 
   a^2*z^2 - 4*a^4*z^2 + 12*a^6*z^2 + 4*a^8*z^2 - 3*a^10*z^2 + 3*z^4 - 
   3*a^2*z^4 - 8*a^4*z^4 + 6*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 52949] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 
   2*a^2 - 13*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 
   20*z^4 - (4*z^4)/a^6 + (17*z^4)/a^4 - (8*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 52950] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 6*z^2 - z^2/a^8 + z^2/a^6 + 
   (6*z^2)/a^4 - (6*z^2)/a^2 + 4*a^2*z^2 - 6*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (4*z^4)/a^4 - (9*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - 
   (6*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 52951] -> 1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 - 
   2*z^2 + (2*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 6*a^6*z^2 + 6*a^8*z^2 - 
   a^10*z^2 - 5*z^4 + z^4/a^2 + 2*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 52952] -> 2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 2*z^2 - 
   (2*z^2)/a^6 + z^2/a^4 - 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 4*z^4 - 
   z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 - 2*a^4*z^4 + 2*z^6 + z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 52953] -> 
  a^4 - a^6 + 3*a^8 - a^10 - a^12 + 2*z^2 + a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   7*a^8*z^2 + 2*a^10*z^2 - a^12*z^2 + z^4 - a^2*z^4 - 6*a^4*z^4 - 
   5*a^6*z^4 + 2*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 3*a^4*z^6 - 3*a^6*z^6 - 
   a^8*z^6, Knot[15, Alternating, 52954] -> a^2 + 2*a^6 - 3*a^8 + a^10 - 
   z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 9*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 + 
   2*z^4 - z^4/a^2 + 4*a^2*z^4 - 5*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 4*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 52955] -> a^(-2) + a^2 - 2*a^4 + a^8 - z^2 - z^2/a^4 + 
   2*a^2*z^2 - 2*a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + a^2*z^6 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 52956] -> 
  a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - z^2/a^16 - (6*z^2)/a^14 + 
   (17*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + 
   (8*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52957] -> a^(-12) - 2/a^10 - a^(-8) + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (8*z^2)/a^10 + (4*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (10*z^4)/a^10 - (2*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52958] -> 1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 
   2*z^2 - z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52959] -> 2/a^12 - 6/a^10 + 4/a^8 + a^(-4) - 
   (2*z^2)/a^14 + (7*z^2)/a^12 - (11*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (11*z^4)/a^10 - z^4/a^8 + 
   (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 52960] -> 2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 + 
   z^2/a^16 - (13*z^2)/a^14 + (8*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 - 
   z^4/a^16 - (6*z^4)/a^14 + (13*z^4)/a^12 + (19*z^4)/a^10 + (10*z^4)/a^8 + 
   z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 52961] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 9*a^2*z^2 - 15*a^4*z^2 + 12*a^6*z^2 - 2*a^8*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 52962] -> 
  -a^4 + 4*a^6 - 2*a^10 + 2*z^2 - a^2*z^2 - 2*a^4*z^2 + 8*a^6*z^2 + 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 3*a^2*z^4 - 6*a^4*z^4 + 4*a^6*z^4 + 
   4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 52963] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (19*z^2)/a^6 + (4*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (24*z^4)/a^8 - 
   (36*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (30*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 52964] -> 
  1 + 2/a^4 - 3/a^2 + a^2 + 3*z^2 - (2*z^2)/a^6 + (14*z^2)/a^4 - 
   (21*z^2)/a^2 + 3*a^2*z^2 + z^4 - (3*z^4)/a^6 + (22*z^4)/a^4 - 
   (36*z^4)/a^2 + 5*a^2*z^4 - 4*z^6 - z^6/a^6 + (14*z^6)/a^4 - (29*z^6)/a^2 + 
   4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - (12*z^8)/a^2 + a^2*z^8 - z^10 - 
   (2*z^10)/a^2, Knot[15, Alternating, 52965] -> 
  1 + a^(-6) - 2/a^2 + a^2 + z^2 - z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 2*a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - (4*z^4)/a^4 - 
   (13*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (9*z^6)/a^2 + 
   a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 52966] -> 
  3 + a^(-6) - 3/a^2 + 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (12*z^4)/a^6 - (9*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (11*z^6)/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 52967] -> 
  1 + a^(-6) - 2/a^2 + a^2 + z^2/a^10 - (2*z^2)/a^8 + z^2/a^6 - (4*z^2)/a^2 + 
   z^4 - (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (3*z^6)/a^6 + z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 52968] -> 2 - 2*a^2 + a^4 - a^6 + 2*a^8 - a^10 + 
   2*z^2 + z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 
   3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, Knot[15, Alternating, 52969] -> 
  a^4 + a^6 - 2*a^8 + 3*a^10 - 2*a^12 + 2*z^2 + 2*a^4*z^2 - 2*a^8*z^2 + 
   7*a^10*z^2 - a^12*z^2 + z^4 - 4*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 - 
   6*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 + a^4*z^6 - 3*a^8*z^6 + a^4*z^8 + 
   a^6*z^8, Knot[15, Alternating, 52970] -> 2*a^4 - 2*a^6 + 2*a^8 - a^12 + 
   z^2 + z^2/a^2 + 2*a^4*z^2 - 3*a^6*z^2 + 3*a^8*z^2 + 3*a^10*z^2 - 2*z^4 - 
   3*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 - 3*a^8*z^4 + a^2*z^6 + 2*a^4*z^6 + 
   a^6*z^6, Knot[15, Alternating, 52971] -> 1 + 2/a^4 - 2/a^2 - a^2 + a^6 + 
   z^2 - z^2/a^8 - z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - 2*a^2*z^2 - 
   3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 52972] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 52973] -> 
  -2 - a^(-6) + 3/a^4 - a^2 + 2*a^4 - 5*z^2 - z^2/a^8 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 + a^4*z^2 - z^4 - z^4/a^8 + 
   (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + 
   (3*z^6)/a^2, Knot[15, Alternating, 52974] -> 
  -a^2 + 2*a^4 + a^6 + a^8 - 2*a^10 + z^2/a^2 - a^2*z^2 + 3*a^4*z^2 + 
   3*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 2*a^4*z^4 + 
   2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 52975] -> 1 - a^6 + 2*a^8 - a^10 + z^2/a^4 - z^2/a^2 + 
   a^2*z^2 - a^4*z^2 - 2*a^6*z^2 + 3*a^8*z^2 - z^4 - (2*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 52976] -> a^(-4) - a^2 + a^6 - z^2 - z^2/a^8 - 
   z^2/a^6 + z^2/a^4 + z^2/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4, Knot[15, Alternating, 52977] -> 
  a^4 + a^8 - a^12 + z^2 + z^2/a^2 + a^6*z^2 + 3*a^8*z^2 + 2*a^10*z^2 - z^4 - 
   3*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 - a^8*z^4, 
 Knot[15, Alternating, 52978] -> 2*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 19*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   13*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 52979] -> -1 + a^(-2) + a^2 - 6*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (6*z^2)/a^4 + (8*z^2)/a^2 + a^2*z^2 - 8*z^4 - 
   z^4/a^8 + (6*z^4)/a^6 - (11*z^4)/a^4 + (14*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52980] -> 
  1 + 2*a^2 - 4*a^4 + 2*a^6 + 3*z^2 - (2*z^2)/a^6 + z^2/a^4 - z^2/a^2 + 
   4*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^6 + (5*z^4)/a^4 + 
   8*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 52981] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 7*a^4*z^2 - 
   4*a^8*z^2 + a^10*z^2 + 3*z^4 - z^4/a^2 - 3*a^2*z^4 + 5*a^4*z^4 + 
   3*a^6*z^4 - 3*a^8*z^4 + 2*z^6 - a^2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 52982] -> 4 - 2/a^2 - a^4 + 7*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + 7*a^2*z^2 - 5*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 52983] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 3*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   z^2/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 52984] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + (9*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 52985] -> 2*a^2 - a^4 - 5*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 52986] -> 
  -a^(-4) + 2/a^2 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 + a^2*z^2 - 9*z^4 - z^4/a^8 + (6*z^4)/a^6 - (13*z^4)/a^4 + 
   (17*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 52987] -> -4 + a^(-4) + 6*a^2 - 2*a^4 - 13*z^2 + 
   z^2/a^6 + z^2/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 17*z^4 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52988] -> 
  1 + a^(-4) - a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2 + z^2/a^6 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 52989] -> 3*a^2 - 3*a^4 + a^6 - 9*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 15*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + 
   (8*z^4)/a^2 + 22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 52990] -> 1 + a^2 - 2*a^4 + a^6 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 5*a^4*z^2 + a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 52991] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   12*z^2 + z^2/a^6 + z^2/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 52992] -> 
  a^(-4) - a^(-2) + 2*a^4 - a^6 + z^2 + z^2/a^6 - (3*z^2)/a^2 - 4*a^2*z^2 + 
   5*a^4*z^2 - a^6*z^2 + z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 52993] -> 3*a^2 - 3*a^4 + a^6 - 2*z^2 - z^2/a^6 + 
   z^2/a^4 + 7*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   2*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 52994] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 5*a^4*z^2 + 
   a^6*z^2 - 3*a^8*z^2 + z^4 + (2*z^4)/a^2 - a^2*z^4 + 3*a^4*z^4 + 
   3*a^6*z^4 - z^6 - 2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 52995] -> 
  2 - a^2 - a^6 + a^8 + 2*z^2 - z^2/a^6 - z^2/a^2 + a^2*z^2 - a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 + (2*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - z^6/a^2 - a^2*z^6, Knot[15, Alternating, 52996] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 13*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 15*z^4 + z^4/a^6 - (4*z^4)/a^4 + (12*z^4)/a^2 + 
   10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 52997] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 8*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 9*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 52998] -> -a^(-4) + 2/a^2 + a^2 - 2*a^4 + a^6 - 
   2*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 - 
   z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 52999] -> -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (2*z^4)/a^6 - 
   z^4/a^4 + (12*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53000] -> 
  -a^(-10) - a^(-8) + 3/a^6 + (4*z^2)/a^12 - (17*z^2)/a^10 + (19*z^2)/a^8 + 
   z^2/a^6 + (10*z^4)/a^12 - (42*z^4)/a^10 + (54*z^4)/a^8 - (12*z^4)/a^6 + 
   (6*z^6)/a^12 - (39*z^6)/a^10 + (58*z^6)/a^8 - (16*z^6)/a^6 + z^8/a^12 - 
   (15*z^8)/a^10 + (32*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + 
   (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 53001] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (13*z^2)/a^8 - z^2/a^6 + (2*z^2)/a^4 + (4*z^4)/a^12 - (16*z^4)/a^10 + 
   (15*z^4)/a^8 + (5*z^4)/a^6 - (3*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (10*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53002] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) + 
   (2*z^2)/a^12 - (5*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 - z^2/a^4 + 
   z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 + z^4/a^8 + (6*z^4)/a^6 - z^4/a^4 - 
   z^4/a^2 - (2*z^6)/a^10 + z^6/a^8 + (5*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53003] -> 
  -1 - a^(-6) + 3/a^2 + 4*z^2 - (6*z^2)/a^6 + (17*z^2)/a^4 - (12*z^2)/a^2 + 
   16*z^4 - (11*z^4)/a^6 + (44*z^4)/a^4 - (47*z^4)/a^2 + 17*z^6 - 
   (6*z^6)/a^6 + (40*z^6)/a^4 - (56*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (32*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 53004] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 
   a^2 + 4*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - (10*z^2)/a^2 - 3*z^4 - 
   (4*z^4)/a^6 + (17*z^4)/a^4 - (13*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (10*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53005] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 5*z^2 - z^2/a^8 - z^2/a^6 + (12*z^2)/a^4 - 
   (13*z^2)/a^2 + 8*z^4 - (3*z^4)/a^8 + (7*z^4)/a^6 + (8*z^4)/a^4 - 
   (21*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (2*z^6)/a^4 - 
   (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 53006] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*z^4 - 
   z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 53007] -> 1 - 7*a^2 + 14*a^4 - 7*a^6 + 5*z^2 - 
   27*a^2*z^2 + 46*a^4*z^2 - 17*a^6*z^2 + 16*z^4 - 54*a^2*z^4 + 67*a^4*z^4 - 
   17*a^6*z^4 + 17*z^6 - 57*a^2*z^6 + 48*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   32*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 53008] -> -1 + 6*a^4 - 4*a^6 - z^2 - 
   4*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 4*z^4 + (4*z^4)/a^2 - 8*a^2*z^4 + 
   22*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + (4*z^6)/a^2 - 9*a^2*z^6 + 11*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 53009] -> 1 - 4*a^2 + 6*a^4 - 2*a^8 + 5*z^2 - 
   16*a^2*z^2 + 17*a^4*z^2 + 4*a^6*z^2 - 4*a^8*z^2 + 8*z^4 - 22*a^2*z^4 + 
   12*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 15*a^2*z^6 - a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 53010] -> -a^2 + 4*a^4 - a^6 - a^8 - z^2 + 
   z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 + 2*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53011] -> -5 + 2/a^2 + 7*a^2 - 4*a^4 + a^6 - 16*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 18*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 53012] -> 
  3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + (4*z^2)/a^16 - (27*z^2)/a^14 + 
   (18*z^2)/a^12 + (19*z^2)/a^10 - z^4/a^16 - (22*z^4)/a^14 + (36*z^4)/a^12 + 
   (32*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (26*z^6)/a^12 + 
   (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 53013] -> -a^(-10) + 5/a^6 - 7/a^4 + 
   4/a^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + (12*z^2)/a^6 - (22*z^2)/a^4 + 
   (10*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 + (5*z^4)/a^6 - (27*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53014] -> 
  a^6 + 7*a^8 - 11*a^10 + 4*a^12 - 2*a^4*z^2 + 2*a^6*z^2 + 29*a^8*z^2 - 
   32*a^10*z^2 + 8*a^12*z^2 - 5*a^4*z^4 + a^6*z^4 + 45*a^8*z^4 - 
   35*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 4*a^6*z^6 + 34*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 53015] -> 
  1 - 8*a^2 + 16*a^4 - 8*a^6 + 8*z^2 - 36*a^2*z^2 + 56*a^4*z^2 - 20*a^6*z^2 + 
   20*z^4 - 66*a^2*z^4 + 76*a^4*z^4 - 18*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 
   50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 53016] -> 
  -1 - a^2 + 8*a^4 - 5*a^6 - 2*z^2 + z^2/a^2 - 6*a^2*z^2 + 23*a^4*z^2 - 
   9*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 10*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 53017] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (7*z^2)/a^10 + (25*z^2)/a^8 - (29*z^2)/a^6 + (14*z^2)/a^4 - 
   (11*z^4)/a^10 + (50*z^4)/a^8 - (63*z^4)/a^6 + (22*z^4)/a^4 - 
   (6*z^6)/a^10 + (41*z^6)/a^8 - (63*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 53018] -> 
  -a^(-10) + 3/a^8 - 4/a^6 + 2/a^4 + a^(-2) - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (13*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - (4*z^4)/a^10 + (18*z^4)/a^8 - 
   (16*z^4)/a^6 - (6*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53019] -> -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - 
   (4*z^2)/a^10 + (11*z^2)/a^8 - (13*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + 
   (17*z^4)/a^8 - (7*z^4)/a^6 - (20*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53020] -> 1 - a^(-10) + 2/a^8 - a^(-6) + 2*z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (5*z^2)/a^4 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 - (9*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (6*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53021] -> 1 - 4*a^2 + 5*a^4 + 2*a^6 - 3*a^8 + 5*z^2 - 
   13*a^2*z^2 + 8*a^4*z^2 + 14*a^6*z^2 - 7*a^8*z^2 + 8*z^4 - 18*a^2*z^4 + 
   20*a^6*z^4 - 5*a^8*z^4 + 5*z^6 - 14*a^2*z^6 - 7*a^4*z^6 + 11*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 53022] -> -a^2 + 3*a^4 + a^6 - 2*a^8 + z^2/a^2 - 
   4*a^2*z^2 + 6*a^4*z^2 + 6*a^6*z^2 - 3*a^8*z^2 - z^4 + (2*z^4)/a^2 - 
   7*a^2*z^4 + 3*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53023] -> a^4 - a^6 + 4*a^8 - 3*a^10 + 3*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 + 13*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 - 
   3*a^6*z^4 + 15*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 5*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 53024] -> 
  a^4 + 2*a^8 - 2*a^10 + z^2 + a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + z^4 - a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + 
   z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 53025] -> -1 + 5*a^2 - 4*a^4 + a^6 + 4*z^2 - 
   (3*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 11*z^4 - (5*z^4)/a^2 + 
   5*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 53026] -> 3 - a^(-2) - 2*a^4 + a^6 + 
   6*z^2 - z^2/a^4 - z^2/a^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - 
   z^4/a^4 + z^4/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + 
   z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53027] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 10*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 11*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 53028] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - (3*z^2)/a^10 + (9*z^2)/a^8 - 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - 
   (19*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53029] -> -a^(-14) + 2/a^12 - 3/a^10 + a^(-8) + 
   2/a^6 - (4*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 + (7*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (23*z^4)/a^12 - (26*z^4)/a^10 + (7*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (26*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 53030] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + 
   (6*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (10*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53031] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2/a^12 - (2*z^2)/a^10 - z^2/a^8 + 
   (6*z^2)/a^6 - z^2/a^4 + z^2/a^2 + z^4/a^12 - (3*z^4)/a^10 - z^4/a^8 + 
   (5*z^4)/a^6 - z^4/a^2 - (2*z^6)/a^10 + (4*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53032] -> 
  -4/a^8 + 6/a^6 - a^(-4) + (3*z^2)/a^12 - (10*z^2)/a^10 + (2*z^2)/a^8 + 
   (17*z^2)/a^6 - (5*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (21*z^4)/a^8 + 
   (16*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (25*z^6)/a^8 + 
   (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 53033] -> 
  -a^(-10) + a^(-6) + a^(-4) + (2*z^2)/a^12 - (6*z^2)/a^10 + (3*z^2)/a^8 + 
   (6*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (5*z^4)/a^8 + (10*z^4)/a^6 - (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 53034] -> -a^(-10) + a^(-6) + a^(-4) + (3*z^2)/a^12 - 
   (8*z^2)/a^10 + (2*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - 
   (15*z^4)/a^10 + (6*z^4)/a^8 + (18*z^4)/a^6 - (7*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^10 + (8*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53035] -> -a^(-10) + 2/a^6 - a^(-4) + a^(-2) + 
   (2*z^2)/a^12 - (4*z^2)/a^10 + (7*z^2)/a^6 + z^4/a^12 - (5*z^4)/a^10 - 
   z^4/a^8 + (8*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (2*z^6)/a^10 + z^6/a^8 + 
   (6*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 53036] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 18*z^2 - 
   (2*z^2)/a^6 - z^2/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - (5*z^4)/a^6 + 
   (6*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53037] -> 
  -2 + 2/a^2 + a^4 - 4*z^2 - (2*z^2)/a^6 + z^2/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 - 2*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (7*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 53038] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 17*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   19*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 18*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   22*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53039] -> -a^(-10) + a^(-8) + a^(-2) - (4*z^2)/a^10 + 
   (9*z^2)/a^8 + z^2/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + 
   (16*z^4)/a^8 - (4*z^4)/a^6 - (16*z^4)/a^4 + (8*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (8*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - 
   (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53040] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - 
   z^4/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (6*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53041] -> 
  2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - a^4*z^2 + a^6*z^2 + 26*a^8*z^2 - 
   28*a^10*z^2 + 7*a^12*z^2 - 4*a^4*z^4 - a^6*z^4 + 43*a^8*z^4 - 
   33*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 33*a^8*z^6 - 
   17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 53042] -> 
  a^4 + a^6 + 2*a^8 - 5*a^10 + 2*a^12 - a^4*z^2 + 7*a^6*z^2 + 7*a^8*z^2 - 
   12*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 11*a^6*z^4 + 9*a^8*z^4 - 
   10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 53043] -> 
  -2 + a^(-4) + 3*a^2 - 2*a^4 + a^6 - 4*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 4*a^2*z^6 - 
   3*a^4*z^6 + 3*z^8 + z^8/a^2 + 2*a^2*z^8, Knot[15, Alternating, 53044] -> 
  -a^2 + 3*a^4 + a^6 - 2*a^8 - 3*z^2 + (2*z^2)/a^2 + a^2*z^2 + a^4*z^2 + 
   8*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 10*a^4*z^4 + 
   10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53045] -> 1 + a^2 - 3*a^4 + 3*a^6 - a^8 + 2*z^2 - 
   a^2*z^2 - 7*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 + 3*z^4 + z^4/a^2 - 
   7*a^2*z^4 - 7*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 + z^6/a^2 - 8*a^2*z^6 - 
   5*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 53046] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 20*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (17*z^2)/a^2 + 6*a^2*z^2 - 21*z^4 - (5*z^4)/a^6 + 
   (4*z^4)/a^4 + (18*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53047] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 53048] -> 
  1 - a^2 - 3*a^4 + 9*a^6 - 5*a^8 + 5*z^2 - 5*a^2*z^2 - 12*a^4*z^2 + 
   26*a^6*z^2 - 8*a^8*z^2 + 8*z^4 - 13*a^2*z^4 - 18*a^4*z^4 + 26*a^6*z^4 - 
   5*a^8*z^4 + 5*z^6 - 13*a^2*z^6 - 14*a^4*z^6 + 12*a^6*z^6 - a^8*z^6 + z^8 - 
   6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 53049] -> 1 - 2*a^2 + a^4 + 4*a^6 - 3*a^8 + 3*z^2 + 
   z^2/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + (2*z^4)/a^2 - 
   11*a^2*z^4 - a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53050] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 53*z^2 + 
   (9*z^2)/a^4 - (38*z^2)/a^2 - 19*a^2*z^2 + 75*z^4 + (20*z^4)/a^4 - 
   (67*z^4)/a^2 - 18*a^2*z^4 + 50*z^6 + (18*z^6)/a^4 - (63*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 53051] -> 
  9 + a^(-4) - 6/a^2 - 2*a^2 - a^4 + 19*z^2 + (6*z^2)/a^4 - (20*z^2)/a^2 + 
   4*a^2*z^2 - 5*a^4*z^2 + 12*z^4 + (9*z^4)/a^4 - (24*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53052] -> 2*a^2 - a^4 + a^6 - 2*a^8 + a^10 - 2*z^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 6*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   5*a^2*z^4 - 4*a^4*z^4 + 9*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 53053] -> a^(-2) - a^4 + a^6 - 7*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 9*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 19*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53054] -> -3/a^10 + 3/a^8 + a^(-6) - 
   (3*z^2)/a^14 + (8*z^2)/a^12 - (12*z^2)/a^10 + (11*z^2)/a^8 + (5*z^2)/a^6 - 
   (4*z^4)/a^14 + (21*z^4)/a^12 - (24*z^4)/a^10 + (10*z^4)/a^8 + 
   (8*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (25*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 53055] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (2*z^2)/a^14 + (5*z^2)/a^12 - (5*z^2)/a^10 + 
   (2*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (5*z^4)/a^10 - (4*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 53056] -> 2/a^16 - 7/a^14 + 3/a^12 + 
   3/a^10 + (2*z^2)/a^16 - (22*z^2)/a^14 + (19*z^2)/a^12 + (15*z^2)/a^10 + 
   (2*z^2)/a^8 - (2*z^4)/a^16 - (16*z^4)/a^14 + (34*z^4)/a^12 + 
   (26*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (23*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 53057] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   6*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (18*z^4)/a^6 + (11*z^4)/a^4 + (18*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53058] -> 1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 - 7*z^4 + z^4/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53059] -> -10 + a^(-6) - 5/a^4 + 11/a^2 + 
   4*a^2 - 24*z^2 - (9*z^2)/a^4 + (25*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53060] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 20*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53061] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 - (3*z^2)/a^10 + (8*z^2)/a^8 + 
   (4*z^2)/a^6 - (19*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - 
   (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - 
   (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53062] -> 
  4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 7*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (4*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   z^4/a^2 - 6*a^2*z^4 + a^4*z^4 + 3*z^6 - z^6/a^6 + (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 53063] -> 
  1 - a^2 + a^4 - a^6 + 3*a^8 - 2*a^10 - z^2 + (2*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 - 
   9*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + 
   a^2*z^8 + a^4*z^8, Knot[15, Alternating, 53064] -> 
  1 + a^2 - 2*a^4 + a^6 - 5*z^2 - z^2/a^4 + (2*z^2)/a^2 + 11*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 20*a^2*z^4 - 
   14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53065] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (16*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53066] -> 
  4 - a^(-4) - 2*a^2 + 3*z^2 - z^2/a^6 + z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   5*z^4 - (2*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 9*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53067] -> 
  4 - a^(-4) - 2*a^2 + 5*z^2 - z^2/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 - 
   z^4/a^2 + a^2*z^4 - z^6 + (2*z^6)/a^6 - z^6/a^4 - (4*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 53068] -> 
  2 - a^(-4) + a^(-2) - a^2 + z^2 - z^2/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*z^4 - z^4/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 53069] -> -a^(-14) + 5/a^10 - 9/a^8 + 6/a^6 - 
   (4*z^2)/a^14 + (5*z^2)/a^12 + (13*z^2)/a^10 - (24*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^4)/a^14 + (14*z^4)/a^12 + (7*z^4)/a^10 - 
   (28*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (5*z^6)/a^10 - 
   (19*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 53070] -> 
  -a^(-14) + 4/a^10 - 5/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (7*z^2)/a^10 - (8*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53071] -> 
  -8 + 4/a^2 + 7*a^2 - 3*a^4 + a^6 - 16*z^2 + (4*z^2)/a^2 + 16*a^2*z^2 - 
   11*a^4*z^2 + 3*a^6*z^2 - 4*z^4 - (3*z^4)/a^2 + 16*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 11*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53072] -> 5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 + 2*z^2 + 
   5*a^2*z^2 - 22*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 + 7*z^4 - 7*a^2*z^4 - 
   23*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 5*z^6 - 12*a^2*z^6 - 15*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 6*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 53073] -> 
  -a^6 + 13*a^8 - 17*a^10 + 6*a^12 - 9*a^6*z^2 + 56*a^8*z^2 - 59*a^10*z^2 + 
   17*a^12*z^2 - 24*a^6*z^4 + 95*a^8*z^4 - 81*a^10*z^4 + 17*a^12*z^4 - 
   22*a^6*z^6 + 83*a^8*z^6 - 54*a^10*z^6 + 7*a^12*z^6 - 8*a^6*z^8 + 
   40*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 53074] -> 
  2*a^6 + 5*a^8 - 10*a^10 + 4*a^12 - 2*a^4*z^2 + 9*a^6*z^2 + 14*a^8*z^2 - 
   25*a^10*z^2 + 8*a^12*z^2 - 7*a^4*z^4 + 14*a^6*z^4 + 18*a^8*z^4 - 
   26*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 13*a^6*z^6 + 14*a^8*z^6 - 
   12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 53075] -> 
  5*a^6 - 3*a^8 - 3*a^10 + 2*a^12 - 2*a^4*z^2 + 14*a^6*z^2 - 2*a^8*z^2 - 
   12*a^10*z^2 + 5*a^12*z^2 - 7*a^4*z^4 + 18*a^6*z^4 + 4*a^8*z^4 - 
   17*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 8*a^8*z^6 - 
   10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 53076] -> 
  2 - a^2 - 2*a^4 + 3*a^6 - a^8 + 4*z^2 - 7*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 
   2*a^8*z^2 + z^4 + (2*z^4)/a^2 - 10*a^2*z^4 - 2*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 2*z^6 + z^6/a^2 - 7*a^2*z^6 - 2*a^4*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 53077] -> 
  3*a^6 + 2*a^8 - 7*a^10 + 3*a^12 - a^4*z^2 + 8*a^6*z^2 + 11*a^8*z^2 - 
   21*a^10*z^2 + 7*a^12*z^2 - 6*a^4*z^4 + 12*a^6*z^4 + 16*a^8*z^4 - 
   24*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 12*a^6*z^6 + 13*a^8*z^6 - 
   12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 53078] -> 
  a^4 + 2*a^6 - 4*a^10 + 2*a^12 + a^4*z^2 + 7*a^6*z^2 - 8*a^10*z^2 + 
   3*a^12*z^2 - 2*a^2*z^4 + 9*a^6*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 7*a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 53079] -> 2*a^4 + a^6 - 2*a^8 - a^10 + 
   a^12 + 2*a^4*z^2 + 5*a^6*z^2 - 3*a^8*z^2 - 4*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 + a^4*z^4 + 7*a^6*z^4 - 2*a^8*z^4 - 5*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 2*a^4*z^6 + 6*a^6*z^6 + a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 53080] -> 
  -8 - 3/a^4 + 9/a^2 + 3*a^2 - 23*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (20*z^2)/a^2 + 7*a^2*z^2 - 25*z^4 - (7*z^4)/a^6 + (8*z^4)/a^4 + 
   (20*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (5*z^6)/a^6 + (12*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53081] -> 
  1 - 9*a^2 + 18*a^4 - 9*a^6 + 9*z^2 - 42*a^2*z^2 + 66*a^4*z^2 - 24*a^6*z^2 + 
   24*z^4 - 79*a^2*z^4 + 92*a^4*z^4 - 22*a^6*z^4 + 22*z^6 - 76*a^2*z^6 + 
   60*a^4*z^6 - 8*a^6*z^6 + 8*z^8 - 39*a^2*z^8 + 18*a^4*z^8 - a^6*z^8 + 
   z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 53082] -> -1 - 2*a^2 + 10*a^4 - 6*a^6 - 5*z^2 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 27*a^4*z^2 - 11*a^6*z^2 - 10*z^4 + (7*z^4)/a^2 - 
   10*a^2*z^4 + 29*a^4*z^4 - 6*a^6*z^4 - 12*z^6 + (5*z^6)/a^2 - 12*a^2*z^6 + 
   13*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 53083] -> -3 + 5*a^2 + 2*a^4 - 3*a^6 - 
   9*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 + 12*a^4*z^2 - 7*a^6*z^2 - 14*z^4 + 
   (7*z^4)/a^2 + 3*a^2*z^4 + 19*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 
   6*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53084] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 4*z^2 - (2*z^2)/a^6 + z^2/a^4 + 
   (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (9*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 53085] -> 1 - 5*a^2 + 7*a^4 + a^6 - 3*a^8 + 7*z^2 - 
   21*a^2*z^2 + 19*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + 11*z^4 - 28*a^2*z^4 + 
   11*a^4*z^4 + 18*a^6*z^4 - 5*a^8*z^4 + 6*z^6 - 19*a^2*z^6 - 4*a^4*z^6 + 
   11*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 53086] -> 
  -2*a^2 + 5*a^4 - 2*a^8 - 2*z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 11*a^4*z^2 + 
   4*a^6*z^2 - 3*a^8*z^2 - 3*z^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 6*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 7*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 53087] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 4*z^2 + (2*z^2)/a^2 + 9*a^4*z^2 + a^6*z^2 - 
   2*a^8*z^2 - 4*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 7*a^4*z^4 + 4*a^6*z^4 - 
   a^8*z^4 - 3*z^6 + z^6/a^2 - 6*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - 
   a^4*z^8, Knot[15, Alternating, 53088] -> -4 - a^(-6) - a^(-4) + 6/a^2 + 
   a^2 - 11*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + (4*z^2)/a^2 + 5*a^2*z^2 - 
   11*z^4 - (4*z^4)/a^6 + (22*z^4)/a^4 - (16*z^4)/a^2 + 8*a^2*z^4 - 9*z^6 - 
   z^6/a^6 + (15*z^6)/a^4 - (24*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (12*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 53089] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 3*z^2 - 
   z^2/a^8 + (9*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 + (4*z^4)/a^4 - (13*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 53090] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (5*z^2)/a^6 - (8*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (24*z^4)/a^8 - 
   (23*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (26*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53091] -> -a^(-14) + 3/a^12 - 4/a^10 + 3/a^6 - 
   (6*z^2)/a^14 + (17*z^2)/a^12 - (15*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 - 
   (5*z^4)/a^14 + (29*z^4)/a^12 - (29*z^4)/a^10 + (12*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (29*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 53092] -> -a^(-14) + 2/a^12 - a^(-10) - 2/a^8 + 
   2/a^6 + a^(-4) - (3*z^2)/a^14 + (8*z^2)/a^12 - (3*z^2)/a^10 - 
   (4*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (5*z^4)/a^10 - (9*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53093] -> 
  -a^(-14) + a^(-12) + a^(-8) - 3/a^6 + 3/a^4 - (3*z^2)/a^14 + (7*z^2)/a^12 - 
   (2*z^2)/a^10 + (4*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (4*z^4)/a^10 + z^4/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^12 - (4*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - 
   z^8/a^10 - z^8/a^8 - z^8/a^6, Knot[15, Alternating, 53094] -> 
  -a^(-14) + a^(-12) + a^(-8) - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 - (2*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 53095] -> 
  -1 + 2/a^4 - 2/a^2 + 3*a^2 - 2*a^4 + a^6 + 2*z^2 + z^2/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (2*z^4)/a^4 - (2*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53096] -> -a^(-14) + 6/a^12 - 13/a^10 + 9/a^8 - 
   (10*z^2)/a^14 + (34*z^2)/a^12 - (50*z^2)/a^10 + (33*z^2)/a^8 - 
   (15*z^4)/a^14 + (65*z^4)/a^12 - (84*z^4)/a^10 + (46*z^4)/a^8 - 
   (7*z^6)/a^14 + (51*z^6)/a^12 - (77*z^6)/a^10 + (30*z^6)/a^8 - z^8/a^14 + 
   (17*z^8)/a^12 - (39*z^8)/a^10 + (9*z^8)/a^8 + (2*z^10)/a^12 - 
   (10*z^10)/a^10 + z^10/a^8 - z^12/a^10, Knot[15, Alternating, 53097] -> 
  -a^(-14) + 4/a^12 - 6/a^10 + a^(-8) + 3/a^6 - (6*z^2)/a^14 + 
   (17*z^2)/a^12 - (16*z^2)/a^10 + z^2/a^8 + (10*z^2)/a^6 - (5*z^4)/a^14 + 
   (23*z^4)/a^12 - (17*z^4)/a^10 - (6*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + 
   (12*z^6)/a^12 - (13*z^6)/a^10 - (11*z^6)/a^8 + (6*z^6)/a^6 + 
   (2*z^8)/a^12 - (6*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 53098] -> -a^(-14) + 3/a^12 - 3/a^10 - 
   a^(-8) + 2/a^6 + a^(-4) - (3*z^2)/a^14 + (7*z^2)/a^12 - (2*z^2)/a^10 - 
   (5*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - 
   (8*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 - (2*z^6)/a^10 - 
   (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53099] -> -a^(-14) + 2/a^12 + a^(-10) - 7/a^8 + 
   6/a^6 - (4*z^2)/a^14 + (8*z^2)/a^12 + (5*z^2)/a^10 - (21*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 + (2*z^4)/a^10 - 
   (27*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (6*z^6)/a^10 - 
   (19*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 53100] -> 
  -a^(-14) + 2/a^12 - 3/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (3*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (3*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53101] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 10*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 - 11*a^2*z^2 + 3*a^4*z^2 + 8*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 53102] -> 1 - a^2 - 4*a^4 + 11*a^6 - 6*a^8 + 7*z^2 - 
   8*a^2*z^2 - 15*a^4*z^2 + 34*a^6*z^2 - 11*a^8*z^2 + 11*z^4 - 18*a^2*z^4 - 
   23*a^4*z^4 + 34*a^6*z^4 - 6*a^8*z^4 + 6*z^6 - 17*a^2*z^6 - 18*a^4*z^6 + 
   14*a^6*z^6 - a^8*z^6 + z^8 - 7*a^2*z^8 - 7*a^4*z^8 + 2*a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 53103] -> 
  1 - 2*a^2 + 6*a^6 - 4*a^8 + 2*z^2 + (2*z^2)/a^2 - 9*a^2*z^2 + 2*a^4*z^2 + 
   13*a^6*z^2 - 4*a^8*z^2 - z^4 + (3*z^4)/a^2 - 14*a^2*z^4 - a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 9*a^2*z^6 - 3*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 53104] -> 
  1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 + z^2 + (2*z^2)/a^2 - 9*a^2*z^2 + 
   7*a^4*z^2 + 7*a^6*z^2 - 3*a^8*z^2 - 2*z^4 + (3*z^4)/a^2 - 12*a^2*z^4 + 
   2*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 8*a^2*z^6 - 
   2*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53105] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 57*z^2 + 
   (10*z^2)/a^4 - (41*z^2)/a^2 - 20*a^2*z^2 + 77*z^4 + (21*z^4)/a^4 - 
   (70*z^4)/a^2 - 18*a^2*z^4 + 50*z^6 + (18*z^6)/a^4 - (64*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 53106] -> 
  8 + a^(-4) - 6/a^2 - 2*a^4 + 16*z^2 + (6*z^2)/a^4 - (19*z^2)/a^2 + 
   8*a^2*z^2 - 6*a^4*z^2 + 9*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53107] -> -a^(-6) + a^(-4) + a^(-2) - 8*z^2 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 16*z^4 - (4*z^4)/a^6 + 
   (16*z^4)/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (8*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53108] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 5*z^2 - z^2/a^8 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - z^4/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - (6*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 53109] -> 
  -a^(-10) + a^(-8) + 2/a^6 - 4/a^4 + 3/a^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - 
   (13*z^2)/a^4 + (8*z^2)/a^2 - (4*z^4)/a^10 + (17*z^4)/a^8 - (7*z^4)/a^6 - 
   (20*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (9*z^6)/a^6 - 
   (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53110] -> 
  -a^(-14) + a^(-12) + 3/a^10 - 8/a^8 + 6/a^6 - (6*z^2)/a^14 + 
   (13*z^2)/a^12 + (2*z^2)/a^10 - (20*z^2)/a^8 + (17*z^2)/a^6 - 
   (5*z^4)/a^14 + (22*z^4)/a^12 - (6*z^4)/a^10 - (24*z^4)/a^8 + 
   (17*z^4)/a^6 - z^6/a^14 + (12*z^6)/a^12 - (11*z^6)/a^10 - (18*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^8)/a^12 - (6*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 53111] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (3*z^2)/a^14 + 
   (6*z^2)/a^12 + (4*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 - z^4/a^6 + 
   (4*z^4)/a^4 + (2*z^6)/a^12 - (2*z^6)/a^10 - (8*z^6)/a^8 - (3*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53112] -> -a^(-14) + a^(-12) + a^(-10) - a^(-8) - 
   2/a^6 + 3/a^4 - (3*z^2)/a^14 + (5*z^2)/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (4*z^4)/a^10 - 
   (12*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^12 - (2*z^6)/a^10 - 
   (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53113] -> -a^(-14) + a^(-12) + a^(-10) - a^(-8) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + (4*z^2)/a^10 - 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (2*z^4)/a^12 + 
   (2*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 - 
   (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 53114] -> 
  -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 30*z^2 + z^2/a^6 - (14*z^2)/a^4 + 
   (34*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 - (4*z^4)/a^6 - (3*z^4)/a^4 + 
   (31*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - (4*z^6)/a^6 + (7*z^6)/a^4 + 
   (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53115] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 2/a^6 + 3/a^4 - (3*z^2)/a^14 + (8*z^2)/a^12 - 
   (4*z^2)/a^10 + (2*z^2)/a^8 - (6*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (8*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^12 - 
   (4*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - 
   z^8/a^6, Knot[15, Alternating, 53116] -> -a^(-14) + 2/a^12 - a^(-10) - 
   a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 - (2*z^2)/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (2*z^4)/a^12 - (2*z^4)/a^8 - (3*z^4)/a^6 - 
   z^4/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53117] -> a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 
   z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 
   a^6*z^2 + z^4 - z^4/a^6 + (3*z^4)/a^4 + z^4/a^2 + 2*a^2*z^4 - 2*a^4*z^4 + 
   z^6 + z^6/a^4 + z^6/a^2 + a^2*z^6, Knot[15, Alternating, 53118] -> 
  1 - a^2 + 4*a^8 - 3*a^10 + 6*z^2 - 7*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   13*a^8*z^2 - 4*a^10*z^2 + 5*z^4 - 11*a^2*z^4 - 6*a^4*z^4 - 6*a^6*z^4 + 
   10*a^8*z^4 - a^10*z^4 + z^6 - 6*a^2*z^6 - 5*a^4*z^6 - 5*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 53119] -> 
  1 - a^2 + a^6 + 2*a^8 - 2*a^10 + z^2 + (2*z^2)/a^2 - 4*a^2*z^2 - a^4*z^2 + 
   3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 - 2*z^4 + z^4/a^2 - 6*a^2*z^4 - 
   5*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 53120] -> 1 - a^2 + 2*a^6 - a^10 + (2*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - 2*z^4 + z^4/a^2 - 
   5*a^2*z^4 - 4*a^4*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 53121] -> 2 - 2*a^2 + a^4 - 3*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 10*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53122] -> 18 + a^(-4) - 10/a^2 - 8*a^2 + 
   65*z^2 + (9*z^2)/a^4 - (43*z^2)/a^2 - 24*a^2*z^2 + 92*z^4 + (24*z^4)/a^4 - 
   (79*z^4)/a^2 - 22*a^2*z^4 + 60*z^6 + (22*z^6)/a^4 - (76*z^6)/a^2 - 
   8*a^2*z^6 + 18*z^8 + (8*z^8)/a^4 - (39*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 53123] -> 
  10 + a^(-4) - 7/a^2 - a^2 - 2*a^4 + 22*z^2 + (6*z^2)/a^4 - (22*z^2)/a^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 13*z^4 + (11*z^4)/a^4 - (27*z^4)/a^2 + 
   18*a^2*z^4 - 5*a^4*z^4 - 4*z^6 + (6*z^6)/a^4 - (19*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53124] -> 2 + a^(-4) - 4/a^2 + 6*a^2 - 4*a^4 + 5*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + (8*z^4)/a^4 - 
   (18*z^4)/a^2 + 21*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53125] -> 
  7 - 2/a^4 - 4*a^2 + 22*z^2 + z^2/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 
   10*a^2*z^2 + 27*z^4 + (6*z^4)/a^6 - (8*z^4)/a^4 - (8*z^4)/a^2 - 
   6*a^2*z^4 + 13*z^6 + (5*z^6)/a^6 - (11*z^6)/a^4 - (11*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 53126] -> 5 - a^(-4) - a^(-2) - a^2 - a^4 + 10*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 53127] -> 
  3 - 2/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 53128] -> 
  a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - (6*z^2)/a^10 - z^2/a^8 + 
   (12*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + (17*z^4)/a^8 + 
   (9*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + 
   (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 53129] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + (4*z^2)/a^4 + 
   (3*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + (18*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (13*z^6)/a^6 + (22*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 53130] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (5*z^2)/a^10 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (16*z^4)/a^10 + (18*z^4)/a^8 + (9*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (6*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 53131] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (6*z^2)/a^6 + (6*z^2)/a^4 - (3*z^4)/a^10 + (10*z^4)/a^8 - (4*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - 
   (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53132] -> 
  -a^(-6) + a^(-4) + a^(-2) + z^2 - z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 - 
   z^2/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53133] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + z^4/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53134] -> 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 + 19*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53135] -> -1 + a^(-2) + a^2 + a^4 - 2*a^6 + 
   a^8 - z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + 
   a^8*z^2 - z^4/a^4 + (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + 
   (2*z^6)/a^2 - a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 53136] -> -6 + 3/a^2 + 5*a^2 - a^4 - 14*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53137] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 8*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 + 14*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 9*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + 
   a^6*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 53138] -> 
  a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 + z^2 - z^2/a^4 - 3*a^2*z^2 + 
   4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^4 + (2*z^4)/a^2 + 
   5*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 53139] -> 4/a^16 - 12/a^14 + 7/a^12 + 2/a^10 + 
   (2*z^2)/a^16 - (32*z^2)/a^14 + (34*z^2)/a^12 + (11*z^2)/a^10 - 
   (6*z^4)/a^16 - (25*z^4)/a^14 + (67*z^4)/a^12 + (21*z^4)/a^10 - 
   (5*z^6)/a^16 - (2*z^6)/a^14 + (58*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + 
   (4*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 53140] -> 2/a^16 - 5/a^14 - a^(-12) + 
   5/a^10 - z^2/a^16 - (12*z^2)/a^14 + (6*z^2)/a^12 + (19*z^2)/a^10 + 
   (2*z^2)/a^8 - (3*z^4)/a^16 - (7*z^4)/a^14 + (21*z^4)/a^12 + 
   (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (17*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 53141] -> 2/a^16 - 6/a^14 + 2/a^12 + 
   2/a^10 + a^(-8) - (17*z^2)/a^14 + (17*z^2)/a^12 + (9*z^2)/a^10 + 
   (5*z^2)/a^8 - (3*z^4)/a^16 - (10*z^4)/a^14 + (31*z^4)/a^12 + 
   (19*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (20*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 53142] -> a^(-16) - 3/a^14 + a^(-10) + 
   2/a^8 - z^2/a^16 - (7*z^2)/a^14 + (4*z^2)/a^12 + (10*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + (10*z^4)/a^12 + 
   (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 53143] -> 
  4/a^16 - 13/a^14 + 9/a^12 + a^(-10) + (4*z^2)/a^16 - (40*z^2)/a^14 + 
   (45*z^2)/a^12 + (7*z^2)/a^10 - (5*z^4)/a^16 - (33*z^4)/a^14 + 
   (80*z^4)/a^12 + (17*z^4)/a^10 - (5*z^6)/a^16 - (4*z^6)/a^14 + 
   (64*z^6)/a^12 + (17*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (23*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 53144] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 - 
   (15*z^2)/a^14 + (9*z^2)/a^12 + (20*z^2)/a^10 + z^2/a^8 - (3*z^4)/a^16 - 
   (9*z^4)/a^14 + (23*z^4)/a^12 + (32*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (18*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53145] -> 
  a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + a^(-8) - z^2/a^16 - (6*z^2)/a^14 + 
   z^2/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (2*z^4)/a^14 + 
   (8*z^4)/a^12 + (19*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (5*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53146] -> 3 - a^(-4) - a^4 + 2*z^2 + z^2/a^6 - 
   z^2/a^4 - z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (5*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53147] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 - 2*z^2 + z^2/a^6 - z^2/a^4 + 6*a^2*z^2 - 
   a^6*z^2 - 4*z^4 + z^4/a^6 - (2*z^4)/a^4 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   2*z^6 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 53148] -> a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - 
   z^2/a^16 - (4*z^2)/a^14 - (5*z^2)/a^12 + (18*z^2)/a^10 + (5*z^2)/a^8 - 
   (3*z^4)/a^16 - (3*z^4)/a^14 + (10*z^4)/a^12 + (25*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (12*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 53149] -> -2/a^12 + 3/a^8 - z^2/a^16 - (2*z^2)/a^14 - 
   (2*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   z^4/a^14 + (5*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53150] -> -1 + 5*a^2 - 6*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + 
   (2*z^2)/a^2 + 15*a^2*z^2 - 20*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 18*a^2*z^4 - 25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 12*a^2*z^6 - 14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53151] -> 
  -2 + 8*a^2 - 7*a^4 + 2*a^6 - 12*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   23*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (11*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53152] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 4*a^2*z^2 + 8*a^4*z^2 - 6*a^6*z^2 + a^8*z^2 - 
   z^4 - z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 2*z^6 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 53153] -> 2 + a^(-4) - 4/a^2 + 6*a^2 - 4*a^4 + z^2 + 
   (4*z^2)/a^4 - (10*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 5*z^4 + 
   (4*z^4)/a^4 - (7*z^4)/a^2 + 11*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 7*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53154] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 4*z^2 + 
   z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - a^4*z^2 - a^6*z^2 + 
   z^4/a^6 - (3*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 53155] -> 
  -a^(-8) + 2/a^4 + z^2/a^12 - (3*z^2)/a^10 + z^2/a^8 + (2*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (3*z^4)/a^8 + 
   (7*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 53156] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 15*z^2 + 
   (5*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53157] -> 5 - 2/a^2 - a^2 - 2*a^4 + a^6 + 
   5*z^2 - z^2/a^2 - 6*a^4*z^2 + 3*a^6*z^2 + z^4 + 2*a^2*z^4 - 9*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 3*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53158] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (12*z^2)/a^14 + (3*z^2)/a^12 + (16*z^2)/a^10 + (5*z^2)/a^8 - 
   z^4/a^16 - (6*z^4)/a^14 + (11*z^4)/a^12 + (23*z^4)/a^10 + (9*z^4)/a^8 + 
   z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53159] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 + 
   a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 53160] -> 2*a^4 - a^8 - 3*z^2 + 
   (2*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 + a^6*z^2 - a^8*z^2 - 4*z^4 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 + 2*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53161] -> -1 + a^(-4) + a^4 - 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (3*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53162] -> 3*a^6 + 2*a^8 - 7*a^10 + 3*a^12 - 
   2*a^4*z^2 + 7*a^6*z^2 + 16*a^8*z^2 - 24*a^10*z^2 + 7*a^12*z^2 - 
   5*a^4*z^4 + 5*a^6*z^4 + 32*a^8*z^4 - 30*a^10*z^4 + 5*a^12*z^4 - 
   4*a^4*z^6 + 5*a^6*z^6 + 28*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 53163] -> 2*a^4 - a^6 + 3*a^8 - 5*a^10 + 2*a^12 - 
   a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 + 11*a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 + 3*a^4*z^4 + 12*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   2*a^4*z^6 + 4*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   2*a^8*z^8, Knot[15, Alternating, 53164] -> -2 + 3*a^2 + 3*a^4 - 3*a^6 - 
   6*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 10*z^4 + 
   (5*z^4)/a^2 - a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53165] -> 
  -a^2 + 4*a^4 - a^6 - a^8 - 3*z^2 + (2*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 + 
   3*a^6*z^2 - 2*a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 + 
   4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + 2*a^6*z^6 - z^8 - 
   2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 53166] -> 
  2/a^16 - 6/a^14 + 2/a^12 + 2/a^10 + a^(-8) + z^2/a^16 - (19*z^2)/a^14 + 
   (17*z^2)/a^12 + (11*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (14*z^4)/a^14 + (32*z^4)/a^12 + (23*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (22*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53167] -> 
  a^(-16) - 2/a^14 - a^(-12) + 3/a^8 + z^2/a^16 - (8*z^2)/a^14 + z^2/a^12 + 
   (7*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^16 - (5*z^4)/a^14 + (8*z^4)/a^12 + 
   (15*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + 
   (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 53168] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - z^2/a^10 + (9*z^2)/a^6 - (8*z^2)/a^4 + 
   2*z^4 - z^4/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - (12*z^4)/a^4 + z^6 + 
   (3*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53169] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (10*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (2*z^4)/a^6 - z^4/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53170] -> -6 + 3/a^2 + 7*a^2 - 5*a^4 + 2*a^6 - 
   15*z^2 - z^2/a^4 + (5*z^2)/a^2 + 18*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 
   16*z^4 - z^4/a^4 + (6*z^4)/a^2 + 23*a^2*z^4 - 16*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53171] -> 
  1 + a^2 - 6*a^4 + 9*a^6 - 4*a^8 - z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   20*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 10*a^2*z^4 - 
   27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53172] -> 2 - 3*a^2 + a^4 + 3*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^4 - 6*a^2*z^2 - a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4/a^4 - 
   (3*z^4)/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 53173] -> 
  3 + 2/a^4 - 3/a^2 - 3*a^2 + 2*a^4 + 5*z^2 - z^2/a^8 + (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - z^4/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53174] -> 
  -2 - 3/a^4 + 6/a^2 - 2*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 
   a^2*z^2 + z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (10*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53175] -> 
  -7 - 3/a^4 + 8/a^2 + 4*a^2 - a^4 - 21*z^2 + z^2/a^6 - (9*z^2)/a^4 + 
   (23*z^2)/a^2 + 10*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (26*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53176] -> 
  a^4 + 3*a^6 - 3*a^8 - a^10 + a^12 + 8*a^6*z^2 - a^8*z^2 - 6*a^10*z^2 + 
   2*a^12*z^2 - a^2*z^4 - 2*a^4*z^4 + 10*a^6*z^4 + 3*a^8*z^4 - 7*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + 8*a^6*z^6 + 4*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 53177] -> 
  -1 + 3*a^2 - 2*a^4 + 3*a^6 - 2*a^8 - 4*z^2 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   6*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 - 8*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 - 
   13*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53178] -> 3 - a^(-2) - 3*a^2 + 3*a^4 - a^8 + 5*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 
   3*z^4 + z^4/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 53179] -> 2 - a^2 - 3*a^4 + 5*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 + 2*z^4 + 
   (2*z^4)/a^2 - 11*a^2*z^4 - 7*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - z^6 + 
   z^6/a^2 - 10*a^2*z^6 - 6*a^4*z^6 + 3*a^6*z^6 - z^8 - 3*a^2*z^8 - 
   2*a^4*z^8, Knot[15, Alternating, 53180] -> -1 - a^(-6) + 3/a^4 - a^(-2) + 
   a^4 - 2*z^2 - z^2/a^8 + (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + a^4*z^2 + 
   2*z^4 - z^4/a^8 + (2*z^4)/a^6 + z^4/a^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53181] -> 1 - 2*a^2 + 2*a^4 + 2*a^6 - 2*a^8 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 + 6*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 9*a^2*z^4 + a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53182] -> 4 + a^(-4) - 4/a^2 + 2*a^2 - 2*a^4 + 
   11*z^2 + (5*z^2)/a^4 - (15*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + 
   (7*z^4)/a^4 - (19*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - z^6 + (4*z^6)/a^4 - 
   (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53183] -> 
  -a^(-12) + 2/a^6 - z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 - z^4/a^10 - (9*z^4)/a^8 + 
   (8*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53184] -> -2 + 2/a^2 + a^4 - 5*z^2 - z^2/a^8 - 
   z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53185] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53186] -> a^(-10) - 5/a^8 + 5/a^6 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (7*z^4)/a^10 - (7*z^4)/a^8 + (19*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (7*z^6)/a^10 + (12*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53187] -> 1 + a^2 - 3*a^4 + a^6 + 3*a^8 - 2*a^10 - 
   z^2 + (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 8*a^8*z^2 - 
   a^10*z^2 - 5*z^4 + z^4/a^2 - 5*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 - 2*z^6 + 
   2*a^2*z^6 + a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 53188] -> 2 - 2*a^2 + a^6 + a^8 - a^10 + z^2 + 
   z^2/a^4 - 3*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 3*a^8*z^2 - 2*z^4 - 
   (2*z^4)/a^2 - 2*a^2*z^4 - 4*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 53189] -> a^4 + a^6 - a^8 + a^10 - a^12 + 
   z^2 + 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + 4*a^10*z^2 - a^12*z^2 + z^4 - 
   a^2*z^4 - 4*a^4*z^4 - 2*a^6*z^4 - 3*a^8*z^4 + 3*a^10*z^4 - 2*a^2*z^6 - 
   a^4*z^6 - a^6*z^6 - 3*a^8*z^6 + a^4*z^8 + a^6*z^8, 
 Knot[15, Alternating, 53190] -> 2/a^4 - 2/a^2 + a^2 - a^4 + a^6 - z^2/a^8 + 
   z^2/a^4 - (3*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 + (2*z^4)/a^4 + 
   3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 53191] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 5/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (4*z^2)/a^12 + (3*z^2)/a^10 - (7*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (2*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 + 
   (3*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (6*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53192] -> -1 + 6*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 
   5*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 25*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 
   10*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 28*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 
   8*z^6 + z^6/a^2 + 11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53193] -> 
  4 - a^(-2) - 4*a^2 + a^4 + 3*a^6 - 2*a^8 + 6*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 53194] -> 
  3 - a^(-6) + 4/a^4 - 4/a^2 - 3*a^2 + 2*a^4 + 6*z^2 - z^2/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53195] -> 
  -3*a^4 + 10*a^6 - 6*a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 23*a^6*z^2 - 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 53196] -> 
  -a^(-14) + 2/a^12 - 4/a^8 + 3/a^6 + a^(-4) - z^2/a^14 + (9*z^2)/a^10 - 
   (13*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (2*z^4)/a^12 + 
   (11*z^4)/a^10 - (17*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 + 
   (2*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 53197] -> 1 - a^2 + 2*a^4 - 3*a^6 + 4*a^8 - 
   2*a^10 - z^2 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*a^4*z^2 - 7*a^6*z^2 + 
   8*a^8*z^2 - a^10*z^2 - 5*z^4 + z^4/a^2 - a^2*z^4 + a^4*z^4 - 9*a^6*z^4 + 
   3*a^8*z^4 - 2*z^6 + 2*a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 53198] -> 1 - a^4 + a^6 + a^8 - a^10 - z^2 + z^2/a^4 + 
   a^2*z^2 - 2*a^4*z^2 + 3*a^8*z^2 - 2*z^4 - (2*z^4)/a^2 - 3*a^4*z^4 - 
   3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, Knot[15, Alternating, 53199] -> 
  -1 + a^(-4) + a^2 - a^4 + a^6 - 3*z^2 - z^2/a^8 + z^2/a^2 + a^2*z^2 - 
   3*a^4*z^2 + z^4 + (2*z^4)/a^6 + z^4/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - z^6 - 
   z^6/a^4 - z^6/a^2, Knot[15, Alternating, 53200] -> 
  a^4 - a^6 + 4*a^8 - 3*a^10 + z^2 + 3*a^2*z^2 - 3*a^4*z^2 - a^6*z^2 + 
   10*a^8*z^2 - a^10*z^2 - a^12*z^2 + z^4 + a^2*z^4 - 7*a^4*z^4 - 5*a^6*z^4 + 
   5*a^8*z^4 + 2*a^10*z^4 - a^2*z^6 - 4*a^4*z^6 - 4*a^6*z^6 - a^8*z^6, 
 Knot[15, Alternating, 53201] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 + 9*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 6*z^4 - (3*z^4)/a^4 + 
   (9*z^4)/a^2 + 15*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53202] -> 2*a^4 + 2*a^6 - 5*a^8 + 2*a^10 - 
   2*z^2 + a^2*z^2 + 4*a^4*z^2 + 8*a^6*z^2 - 12*a^8*z^2 + 3*a^10*z^2 - 
   3*z^4 + 6*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   7*a^2*z^6 - 5*a^4*z^6 + 12*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 
   3*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 53203] -> 
  4*a^4 - 3*a^6 - a^8 + a^10 - z^2/a^2 + 7*a^4*z^2 - 2*a^6*z^2 - 4*a^8*z^2 + 
   a^10*z^2 + 2*z^4 - z^4/a^2 + a^2*z^4 + 5*a^4*z^4 + 3*a^6*z^4 - 3*a^8*z^4 + 
   2*z^6 + a^4*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53204] -> 1 - a^(-4) + a^(-2) + a^2 - a^4 - 3*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (4*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53205] -> 3 - 3*a^2 - 2*a^4 + 5*a^6 - 2*a^8 + 4*z^2 + 
   z^2/a^2 - 11*a^2*z^2 - 2*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + (3*z^4)/a^2 - 
   14*a^2*z^4 - 2*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 3*z^6 + z^6/a^2 - 
   9*a^2*z^6 - 3*a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53206] -> 3*a^4 - 3*a^6 + 4*a^8 - 5*a^10 + 2*a^12 - 
   a^2*z^2 + 7*a^4*z^2 - 6*a^6*z^2 + 9*a^8*z^2 - 10*a^10*z^2 + 3*a^12*z^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 7*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 4*a^4*z^6 + 2*a^6*z^6 + 4*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   a^6*z^8 + a^8*z^8, Knot[15, Alternating, 53207] -> 
  1 + a^(-2) - 3*a^2 + a^4 + 2*a^6 - a^8 - 2*z^2 + (2*z^2)/a^2 - 6*a^2*z^2 + 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 + z^4/a^2 - 5*a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 53208] -> a^2 + a^4 - a^6 + a^8 - 2*a^10 + a^12 + 
   a^2*z^2 + a^4*z^2 + a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - z^4 + a^4*z^4 + 
   a^6*z^4 - 2*a^10*z^4 + a^2*z^6 + 2*a^4*z^6 + 2*a^6*z^6 + a^8*z^6, 
 Knot[15, Alternating, 53209] -> -5 - 2/a^6 + 4/a^4 + a^(-2) + 3*a^2 - 
   11*z^2 - z^2/a^8 - (3*z^2)/a^6 + (11*z^2)/a^4 - z^2/a^2 + 4*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (13*z^4)/a^4 + a^2*z^4 - 2*z^6 - z^6/a^8 + 
   (3*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 53210] -> 4 - 2/a^2 - 3*a^2 + 5*a^4 - 3*a^6 + 9*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 11*a^4*z^2 - 4*a^6*z^2 + 5*z^4 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 5*a^2*z^4 + 9*a^4*z^4 - a^6*z^4 - 2*z^6 + 
   z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53211] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 - 
   z^2/a^8 - z^2/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 
   2*z^4 - z^4/a^8 + (5*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + z^6 + z^6/a^6 + 
   (3*z^6)/a^4 + (3*z^6)/a^2, Knot[15, Alternating, 53212] -> 
  2 - a^(-2) - a^2 + 2*a^4 - a^8 + 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 
   a^4*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 53213] -> 2 + a^(-6) - 2/a^2 - a^4 + a^6 + 3*z^2 - 
   (3*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 5*z^4 - 
   z^4/a^6 - z^4/a^4 + (4*z^4)/a^2 - a^2*z^4 - 2*a^4*z^4 + 3*z^6 + z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6, Knot[15, Alternating, 53214] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - z^2/a^8 + z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   a^4*z^2 + z^4 - z^4/a^8 + z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, 
 Knot[15, Alternating, 53215] -> a^2 - a^4 + 3*a^6 - 2*a^8 - z^2 + z^2/a^4 + 
   5*a^6*z^2 - a^8*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + 
   2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 53216] -> -8 + a^(-8) - 4/a^6 + 4/a^4 + 4/a^2 + 
   4*a^2 - 14*z^2 - (6*z^2)/a^6 + (10*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   9*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (12*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 53217] -> 
  1 + a^(-4) - a^(-2) - a^4 + a^6 - z^2/a^8 + z^2/a^4 - z^2/a^2 - a^2*z^2 - 
   2*a^4*z^2 + 2*z^4 + z^4/a^6 + (2*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4, 
 Knot[15, Alternating, 53218] -> 1 - a^2 + a^4 + a^8 - a^10 + z^2/a^4 - 
   2*a^2*z^2 + a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - 2*z^4 - z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 - a^6*z^4, Knot[15, Alternating, 53219] -> 
  5 + a^(-4) - 4/a^2 - 2*a^2 + 3*a^4 - 2*a^6 + 9*z^2 + (4*z^2)/a^4 - 
   (11*z^2)/a^2 - 2*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 + 4*z^4 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (5*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53220] -> 2 - a^(-2) + a^4 - a^6 + 3*z^2 + z^2/a^6 - 
   z^2/a^4 - (2*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   z^4/a^4 - (2*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - 
   (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 53221] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (3*z^2)/a^10 - (7*z^2)/a^8 + 
   (18*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (2*z^4)/a^8 + (22*z^4)/a^6 - (4*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (14*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 53222] -> a^(-6) - 3/a^4 + 3/a^2 - z^2 + 
   z^2/a^10 - z^2/a^8 - z^2/a^6 - z^2/a^4 + (3*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (5*z^4)/a^8 - z^4/a^6 + (6*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 53223] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - z^2/a^10 + 
   z^2/a^8 - (2*z^2)/a^6 + (6*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + (2*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53224] -> 3/a^16 - 8/a^14 + 2/a^12 + 4/a^10 + 
   z^2/a^16 - (24*z^2)/a^14 + (21*z^2)/a^12 + (16*z^2)/a^10 - (6*z^4)/a^16 - 
   (20*z^4)/a^14 + (54*z^4)/a^12 + (25*z^4)/a^10 - (5*z^6)/a^16 - z^6/a^14 + 
   (52*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (21*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 53225] -> 2/a^16 - 6/a^14 + 3/a^12 + 2/a^8 - 
   z^2/a^16 - (13*z^2)/a^14 + (14*z^2)/a^12 + (6*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^4)/a^16 - (7*z^4)/a^14 + (26*z^4)/a^12 + (17*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (18*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 53226] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 20*z^2 - 
   (3*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 
   14*z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (9*z^4)/a^4 + (25*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (9*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 53227] -> 4*a^2 - 5*a^4 + 2*a^6 - z^2 - (2*z^2)/a^4 + 
   z^2/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 4*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 + 17*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + 
   (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53228] -> -1 + 2/a^2 - 2*a^2 + 2*a^4 - 
   (2*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (4*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53229] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - 
   z^2/a^4 - z^2/a^2 - 2*a^2*z^2 + 3*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + 3*z^4 - 
   z^4/a^4 + (2*z^4)/a^2 + a^2*z^4 + 5*a^4*z^4 - 3*a^6*z^4 + (2*z^6)/a^2 + 
   3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 53230] -> 
  -2 - a^(-4) + 2/a^2 + 4*a^2 - 2*a^4 - 8*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53231] -> 
  a^(-14) - 5/a^12 + 3/a^10 + 2/a^8 - (2*z^2)/a^16 - z^2/a^14 - 
   (6*z^2)/a^12 + (14*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - z^4/a^14 + 
   (8*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53232] -> 
  -11 + 4/a^2 + 12*a^2 - 4*a^4 - 29*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (13*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 30*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53233] -> 
  1 + a^(-4) - a^(-2) - 3*a^2 + 5*a^4 - 2*a^6 + 2*z^2 + z^2/a^6 - z^2/a^4 - 
   z^2/a^2 - 9*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + z^4/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53234] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 21*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 53235] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - z^2 - 
   z^2/a^4 + 12*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 + 18*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53236] -> 4 + a^(-4) - 2/a^2 - 4*a^2 + 2*a^4 + 
   8*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 
   a^4*z^2 + 9*z^4 - z^4/a^8 + (5*z^4)/a^6 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53237] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^4 - 
   2*a^2*z^2 + 4*a^4*z^2 - 5*a^6*z^2 + a^8*z^2 + z^4 - z^4/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 53238] -> 
  1 + a^4 - 2*a^6 + a^8 - 5*z^2 - z^2/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 + 
   4*a^4*z^2 - 4*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 + 6*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 53239] -> -a^(-14) + a^(-12) - a^(-10) + a^(-8) + 
   a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (6*z^4)/a^10 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53240] -> -a^(-14) + a^(-12) - a^(-8) + a^(-6) + 
   a^(-4) - (2*z^2)/a^14 + (6*z^2)/a^12 - (2*z^2)/a^10 - z^2/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (4*z^4)/a^10 - 
   (7*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53241] -> 1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + 
   z^2/a^2 + 3*z^4 - z^4/a^10 + (8*z^4)/a^8 - (2*z^4)/a^6 - (16*z^4)/a^4 - 
   z^4/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - (2*z^6)/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53242] -> 
  -3/a^8 + 3/a^6 + 2/a^4 - a^(-2) + (2*z^2)/a^12 - (7*z^2)/a^10 + z^2/a^8 + 
   (10*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (10*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (10*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53243] -> 
  -a^(-10) + a^(-8) - 2/a^6 + 4/a^4 - a^(-2) + (2*z^2)/a^12 - (6*z^2)/a^10 + 
   (4*z^2)/a^8 + z^2/a^6 + (8*z^2)/a^4 - (3*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53244] -> 
  -a^(-14) + a^(-12) - a^(-8) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (8*z^4)/a^12 - (7*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53245] -> 
  1 - a^(-10) + a^(-8) - a^(-6) + 3/a^4 - 2/a^2 + 3*z^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (8*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 - (3*z^6)/a^2 - (2*z^8)/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53246] -> 
  a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + a^(-8) - (9*z^2)/a^14 + 
   (5*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (4*z^4)/a^14 + (11*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53247] -> -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53248] -> 
  -2/a^10 + 2/a^8 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (6*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (9*z^4)/a^10 + (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53249] -> 1 - a^2 + 2*a^4 - a^6 + z^2/a^6 - z^2/a^4 - 
   2*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - z^4 + z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 53250] -> 2*a^2 - 4*a^4 + 6*a^6 - 3*a^8 - 2*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 10*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53251] -> 
  1 - a^2 + 2*a^4 - 2*a^6 + 2*a^8 - a^10 + 2*z^2 + z^2/a^4 - z^2/a^2 - 
   4*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 2*z^4 - (3*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 - 6*a^6*z^4 + 3*z^6 - a^2*z^6 + 4*a^4*z^6 - a^2*z^8, 
 Knot[15, Alternating, 53252] -> -3/a^12 + 2/a^10 + 2/a^8 - (5*z^2)/a^14 - 
   z^2/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (3*z^4)/a^14 + (7*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53253] -> 2*a^2 - 5*a^4 + 8*a^6 - 4*a^8 - 4*z^2 + 
   (2*z^2)/a^2 + 11*a^2*z^2 - 20*a^4*z^2 + 20*a^6*z^2 - 4*a^8*z^2 - 10*z^4 + 
   (3*z^4)/a^2 + 15*a^2*z^4 - 27*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 11*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53254] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 + z^2/a^4 - z^2/a^2 - a^2*z^2 - 
   3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 - 
   3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 53255] -> 1 - a^2 + a^4 + a^8 - a^10 + 
   z^2/a^4 - a^2*z^2 + 3*a^8*z^2 - 2*z^4 - (2*z^4)/a^2 - a^2*z^4 - 
   3*a^4*z^4 - 3*a^6*z^4 + z^6 + 2*a^2*z^6 + a^4*z^6, 
 Knot[15, Alternating, 53256] -> 2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 4*z^2 - 
   z^2/a^6 + z^2/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 4*a^6*z^2 + 
   6*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 - 4*a^2*z^4 + 6*a^4*z^4 + z^6 - 
   (3*z^6)/a^2 - 4*a^2*z^6 + z^8, Knot[15, Alternating, 53257] -> 
  -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53258] -> 
  -a^(-14) + 2/a^12 - 2/a^10 + a^(-6) + a^(-4) - (3*z^2)/a^14 + 
   (9*z^2)/a^12 - (7*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (12*z^4)/a^12 - (11*z^4)/a^10 - (3*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53259] -> -a^(-14) + a^(-12) + a^(-2) - z^2/a^14 + 
   (4*z^2)/a^12 - (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^2 + (3*z^4)/a^12 - 
   (3*z^4)/a^10 - (2*z^4)/a^6 - z^4/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 53260] -> 
  -a^(-14) + a^(-12) + 2/a^10 - 4/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + 
   (4*z^2)/a^12 + (6*z^2)/a^10 - (11*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 + (2*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53261] -> 3 + a^(-4) - 4/a^2 + 4*a^2 - 3*a^4 + 7*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 12*a^2*z^2 - 6*a^4*z^2 + 2*z^4 + 
   (7*z^4)/a^4 - (17*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53262] -> 
  -a^(-14) + a^(-12) + a^(-10) - 2/a^8 + 2/a^4 - (3*z^2)/a^14 + 
   (8*z^2)/a^12 - (2*z^2)/a^10 - (2*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (7*z^4)/a^10 - (4*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53263] -> 
  -a^(-14) + a^(-12) + a^(-8) - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (5*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - 
   (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 53264] -> 
  -a^(-14) + a^(-12) + a^(-10) - a^(-8) - a^(-6) + a^(-4) + a^(-2) - 
   z^2/a^14 + (4*z^2)/a^12 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 - (2*z^4)/a^10 - (3*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53265] -> -2 + 8*a^2 - 7*a^4 + 2*a^6 - 12*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - 
   (3*z^4)/a^4 + (11*z^4)/a^2 + 26*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 12*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 14*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 53266] -> 
  a^(-16) - 3/a^14 + 2/a^10 + a^(-6) - z^2/a^16 - (8*z^2)/a^14 + 
   (8*z^2)/a^12 + (7*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (13*z^4)/a^12 + (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53267] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 53268] -> 
  2 + a^(-4) - a^(-2) - 2*a^2 + a^6 + 3*z^2 - z^2/a^8 - z^2/a^6 + z^2/a^4 - 
   z^2/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^4)/a^2 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 53269] -> 3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 + 5*z^2 + 
   z^2/a^6 - z^2/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 + z^4/a^6 - (2*z^4)/a^4 - z^4/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53270] -> 
  -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - (5*z^2)/a^10 + 
   (3*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (7*z^4)/a^10 + z^4/a^8 + (3*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (4*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 53271] -> -2/a^12 + a^(-10) + a^(-8) + 
   a^(-6) - z^2/a^16 - (3*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (7*z^4)/a^12 + (11*z^4)/a^10 + 
   (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 53272] -> 
  -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 4*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 2*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + z^6 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53273] -> 
  1 + a^(-4) - a^(-2) - a^2 + 2*a^6 - a^8 + 2*z^2 + z^2/a^6 - z^2/a^4 - 
   (2*z^2)/a^2 - 3*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 + 2*z^4 - (2*z^4)/a^4 - 
   z^4/a^2 - 2*a^2*z^4 - 3*a^4*z^4 + 2*z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 53274] -> -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 + 
   z^2/a^12 - (4*z^2)/a^10 + (6*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (6*z^4)/a^10 + (7*z^4)/a^8 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 53275] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 
   2*z^4 - z^4/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, 
 Knot[15, Alternating, 53276] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53277] -> 1 + a^4 - 2*a^6 + a^8 - z^2 - z^2/a^6 + 
   z^2/a^4 + a^2*z^2 + 2*a^4*z^2 - 3*a^6*z^2 - z^4 + (2*z^4)/a^4 + z^4/a^2 + 
   2*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - z^6/a^2 - a^2*z^6, 
 Knot[15, Alternating, 53278] -> 1 + a^(-4) - a^(-2) - a^4 + a^6 + z^2 - 
   z^2/a^8 + z^2/a^4 - (2*z^2)/a^2 - 3*a^4*z^2 + 3*z^4 + (2*z^4)/a^6 + 
   (2*z^4)/a^4 + 3*a^2*z^4 - z^6 - z^6/a^4 - (2*z^6)/a^2, 
 Knot[15, Alternating, 53279] -> -a^(-8) + 2/a^4 + z^2/a^12 - (4*z^2)/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53280] -> 
  -8 + 4/a^2 + 8*a^2 - 6*a^4 + 4*a^6 - a^8 - 19*z^2 + (4*z^2)/a^2 + 
   22*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 16*z^4 + (3*z^4)/a^2 + 
   26*a^2*z^4 - 18*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 
   15*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53281] -> a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 
   2*a^10 - 2*z^2 + 7*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 15*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 11*a^2*z^4 - 18*a^4*z^4 + 25*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 12*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 53282] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 8*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 8*z^4 - 
   z^4/a^4 + (4*z^4)/a^2 + 14*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 53283] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 3*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (19*z^4)/a^4 + (17*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - 
   (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 53284] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   3*z^2 + 11*a^2*z^2 - 15*a^4*z^2 + 15*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53285] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - 
   a^4 - 22*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (20*z^2)/a^2 + 11*a^2*z^2 - 
   2*a^4*z^2 - 23*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (24*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 53286] -> -1 + a^(-2) + 4*a^2 - 8*a^4 + 7*a^6 - 
   2*a^8 - 7*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 26*a^4*z^2 + 20*a^6*z^2 - 
   5*a^8*z^2 - 9*z^4 + z^4/a^2 + 20*a^2*z^4 - 31*a^4*z^4 + 20*a^6*z^4 - 
   4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 18*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + 
   3*a^2*z^8 - 6*a^4*z^8 + 2*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 53287] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 
   14*z^4 - z^4/a^8 + (7*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53288] -> 
  -4 - a^(-4) + 3/a^2 + 7*a^2 - 6*a^4 + 2*a^6 - 13*z^2 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 18*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 17*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 
   12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53289] -> -5 + a^(-2) + 10*a^2 - 6*a^4 + 
   a^6 - 17*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 25*a^2*z^2 - 13*a^4*z^2 + 
   2*a^6*z^2 - 21*z^4 - (2*z^4)/a^4 + (11*z^4)/a^2 + 26*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (7*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53290] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 9*z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + 10*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (3*z^4)/a^4 + (9*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 53291] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 
   19*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53292] -> -11 + a^(-6) - 2/a^4 + 5/a^2 + 12*a^2 - 
   4*a^4 - 31*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 25*a^2*z^2 - 
   6*a^4*z^2 - 34*z^4 + z^4/a^6 - (9*z^4)/a^4 + (22*z^4)/a^2 + 22*a^2*z^4 - 
   4*a^4*z^4 - 19*z^6 - (3*z^6)/a^4 + (13*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 53293] -> 
  -12 - a^(-4) + 6/a^2 + 12*a^2 - 4*a^4 - 33*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (18*z^2)/a^2 + 26*a^2*z^2 - 6*a^4*z^2 - 36*z^4 + z^4/a^6 - (7*z^4)/a^4 + 
   (21*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 20*z^6 - (3*z^6)/a^4 + 
   (12*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 6*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53294] -> a^2 + a^4 - a^6 - a^8 + 2*a^10 - 
   a^12 + 4*a^2*z^2 - 5*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 16*a^4*z^4 + 17*a^6*z^4 - 15*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 14*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 53295] -> 
  2*a^2 - a^4 - a^8 + 2*a^10 - a^12 + z^2 + a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - 
   5*a^8*z^2 + 4*a^10*z^2 + z^4 - 4*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53296] -> a^(-6) - a^(-4) + a^2 - 7*z^2 - z^2/a^8 + 
   (5*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + 
   (6*z^4)/a^6 - (14*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + 
   (3*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53297] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 5*z^2 + z^2/a^4 + 8*a^2*z^2 - 
   9*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 
   5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 53298] -> 
  -5 + a^(-6) - 2/a^4 + 3/a^2 + 6*a^2 - 2*a^4 - 19*z^2 + (2*z^2)/a^6 - 
   (8*z^2)/a^4 + (13*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 24*z^4 + z^4/a^6 - 
   (8*z^4)/a^4 + (18*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 53299] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (12*z^2)/a^2 + 17*a^2*z^2 - 4*a^4*z^2 - 27*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53300] -> 6 + a^(-4) - 5/a^2 + a^2 - 2*a^4 + 
   8*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 + 12*a^2*z^2 - 7*a^4*z^2 + z^4 + 
   (8*z^4)/a^4 - (17*z^4)/a^2 + 20*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53301] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 - 3*z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 14*a^4*z^2 - 
   5*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 4*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53302] -> 
  1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 - z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 + 
   11*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 5*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 
   8*a^2*z^4 + 4*a^4*z^4 - a^6*z^4 - 6*z^6 + z^6/a^4 - (3*z^6)/a^2 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 53303] -> 
  1 - a^2 + a^4 + a^6 - a^8 - 2*z^2 + (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 + 
   2*a^6*z^2 - a^8*z^2 - 4*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 4*a^4*z^4 + 
   2*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 4*a^2*z^6 + a^4*z^6 + 2*a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 53304] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53305] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^4*z^2 - 5*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 
   a^4*z^4 - z^6 - z^6/a^6 + (2*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 53306] -> 
  3 + a^(-4) - 3/a^2 + a^2 - a^4 + 5*z^2 + (5*z^2)/a^4 - (12*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (7*z^4)/a^4 - (18*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - (13*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53307] -> 5*a^6 - 4*a^8 - a^10 + a^12 - 3*a^4*z^2 + 
   15*a^6*z^2 - 4*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 
   19*a^6*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 13*a^6*z^6 + 
   3*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 53308] -> 1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 14*a^2*z^2 - 6*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - 
   (12*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53309] -> 
  -1 + a^(-2) + a^2 - 7*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + 3*a^2*z^2 - 
   10*z^4 - (6*z^4)/a^6 + (14*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53310] -> -a^(-10) + a^(-6) + a^(-4) + z^2/a^12 - 
   (3*z^2)/a^10 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 + z^4/a^12 - 
   (5*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - 
   (3*z^6)/a^10 + (3*z^6)/a^8 + (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53311] -> 
  1 - a^(-10) + 4/a^6 - 4/a^4 + a^(-2) + 3*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (13*z^2)/a^4 + z^2/a^2 + 3*z^4 - z^4/a^10 + (7*z^4)/a^8 + 
   (2*z^4)/a^6 - (17*z^4)/a^4 - z^4/a^2 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - 
   (11*z^6)/a^4 - (2*z^6)/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53312] -> -a^(-14) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53313] -> -3/a^12 + 2/a^10 + 2/a^8 - (6*z^2)/a^14 + 
   (12*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (4*z^4)/a^14 + 
   (9*z^4)/a^12 + (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53314] -> a^(-4) - 3/a^2 + 7*a^2 - 4*a^4 - 5*z^2 + 
   (4*z^2)/a^4 - (8*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 10*z^4 + 
   (6*z^4)/a^4 - (11*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53315] -> 
  a^4 + a^6 - a^10 + 4*a^2*z^2 - 6*a^4*z^2 + 6*a^6*z^2 + 5*a^8*z^2 - 
   3*a^10*z^2 + 6*a^2*z^4 - 15*a^4*z^4 + 5*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 
   4*a^2*z^6 - 12*a^4*z^6 - a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 53316] -> -1 + a^2 + 4*a^4 - 3*a^6 - 6*z^2 + 
   (3*z^2)/a^2 - a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   4*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 53317] -> 2 - a^(-10) + 2/a^8 - a^(-4) - 
   a^(-2) + 4*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (5*z^4)/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - 
   (4*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53318] -> 
  3 + a^(-4) - 3/a^2 - a^2 + 3*a^4 - 2*a^6 + 4*z^2 + (3*z^2)/a^4 - 
   (7*z^2)/a^2 - 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53319] -> 1 - 3*a^2 + 5*a^4 - a^6 - a^8 - z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 8*a^4*z^2 + 3*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + 
   (2*z^4)/a^2 - 7*a^2*z^4 + 4*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53320] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 2*z^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   6*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 
   3*a^2*z^6 - 2*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 53321] -> 4*a^2 - 5*a^4 + 2*a^6 + 6*z^2 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 + 13*z^4 - (6*z^4)/a^2 + 
   6*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 53322] -> 2 - a^2 - a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53323] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 16*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53324] -> 
  2 - 2*a^2 + a^4 + 4*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   6*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 53325] -> 
  4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 6*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   21*a^4*z^2 + 15*a^6*z^2 - 3*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 - 
   25*a^4*z^4 + 12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 
   14*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53326] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 3*z^2 + 
   z^2/a^2 + 9*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 6*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53327] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 11*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (8*z^2)/a^2 + 9*a^2*z^2 - 3*a^4*z^2 - 12*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53328] -> -1 - a^(-8) + a^(-6) - a^(-4) + 
   3/a^2 - 4*z^2 + z^2/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + 
   (12*z^2)/a^2 - 5*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (18*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*z^6 + (6*z^6)/a^6 - (13*z^6)/a^4 + (14*z^6)/a^2 - z^8 - 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53329] -> 
  -1 + a^(-2) + 3*a^2 - 5*a^4 + 4*a^6 - a^8 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 
   14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 5*z^4 + z^4/a^2 + 10*a^2*z^4 - 
   18*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 9*a^2*z^6 - 
   11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53330] -> -4 + a^(-4) - a^(-2) + 9*a^2 - 4*a^4 - 
   13*z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 17*z^4 + 
   (8*z^4)/a^4 - (12*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (13*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53331] -> 
  -2 + a^(-4) - a^(-2) + 4*a^2 - a^6 - 6*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   7*a^2*z^2 + 3*a^4*z^2 - 2*a^6*z^2 - 9*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 7*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53332] -> 4*a^6 - a^8 - 4*a^10 + 2*a^12 - a^2*z^2 + 
   10*a^6*z^2 + 3*a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 
   13*a^6*z^4 + 7*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 
   10*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 53333] -> -a^2 + 3*a^4 + 3*a^6 - 6*a^8 + 2*a^10 - 
   z^2 - 5*a^2*z^2 + 13*a^4*z^2 + 7*a^6*z^2 - 13*a^8*z^2 + 3*a^10*z^2 - 
   2*z^4 - 4*a^2*z^4 + 18*a^4*z^4 + 9*a^6*z^4 - 11*a^8*z^4 + a^10*z^4 - z^6 + 
   a^2*z^6 + 12*a^4*z^6 + 7*a^6*z^6 - 3*a^8*z^6 + a^2*z^8 + 3*a^4*z^8 + 
   2*a^6*z^8, Knot[15, Alternating, 53334] -> -5 + a^(-4) - a^(-2) + 11*a^2 - 
   5*a^4 - 14*z^2 + (6*z^2)/a^4 - (8*z^2)/a^2 + 28*a^2*z^2 - 9*a^4*z^2 - 
   19*z^4 + (9*z^4)/a^4 - (15*z^4)/a^2 + 28*a^2*z^4 - 5*a^4*z^4 - 15*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53335] -> 
  2 - a^(-10) + a^(-8) + a^(-6) - 2/a^2 + 4*z^2 - (2*z^2)/a^10 + 
   (5*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (2*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53336] -> 
  a^2 - 2*a^4 + 7*a^6 - 7*a^8 + 2*a^10 - z^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   19*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 8*a^4*z^4 + 
   22*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 7*a^4*z^6 + 
   13*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 53337] -> 4*a^2 - 7*a^4 + 6*a^6 - 2*a^8 - 5*z^2 + 
   z^2/a^2 + 13*a^2*z^2 - 18*a^4*z^2 + 13*a^6*z^2 - 3*a^8*z^2 - 7*z^4 + 
   (2*z^4)/a^2 + 15*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 9*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53338] -> 
  -2 + a^(-4) - a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 9*z^2 + (3*z^2)/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + (3*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - 
   (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53339] -> 1 - a^2 + 3*a^6 - 2*a^8 - z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 7*a^6*z^2 - 2*a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 - a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53340] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + 
   5*a^2*z^2 - 14*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 2*z^4 + z^4/a^2 + 
   6*a^2*z^4 - 16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 
   5*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53341] -> -3 + 2/a^2 + 3*a^2 - 2*a^4 + 
   a^6 - 9*z^2 - z^2/a^4 + (4*z^2)/a^2 + 8*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 11*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   5*z^6 - z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 53342] -> 
  3 + a^(-4) - 2/a^2 - 2*a^2 + a^4 + z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 53343] -> -1 + 5*a^2 - 5*a^4 + 3*a^6 - a^8 - 6*z^2 + 
   z^2/a^2 + 15*a^2*z^2 - 14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 14*z^4 + 
   (4*z^4)/a^2 + 21*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53344] -> -9 - a^(-4) + 6/a^2 + 6*a^2 - a^4 - 22*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (16*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53345] -> 
  -2 - a^(-4) + 2/a^2 + 5*a^2 - 4*a^4 + a^6 - 11*z^2 - z^2/a^4 + 
   (6*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 16*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53346] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 
   9*z^2 - z^2/a^4 + (3*z^2)/a^2 + 16*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53347] -> 
  -3/a^8 + 4/a^6 + (2*z^2)/a^12 - (4*z^2)/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 - (2*z^4)/a^8 + (24*z^4)/a^6 - 
   (8*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (4*z^6)/a^8 + (16*z^6)/a^6 - 
   (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 53348] -> 
  -a^(-10) + a^(-8) - a^(-6) + 2/a^4 + (2*z^2)/a^12 - (5*z^2)/a^10 + 
   (4*z^2)/a^8 - z^2/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^4 - (3*z^4)/a^2 - (2*z^6)/a^10 + 
   (3*z^6)/a^8 + (2*z^6)/a^6 + (4*z^6)/a^4 - z^6/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 53349] -> -11 + 4/a^2 + 12*a^2 - 4*a^4 - 
   29*z^2 + z^2/a^6 - (3*z^2)/a^4 + (13*z^2)/a^2 + 22*a^2*z^2 - 4*a^4*z^2 - 
   30*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (7*z^6)/a^4 + (12*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53350] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + 
   (9*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53351] -> 1 - a^(-10) + a^(-8) + a^(-4) - a^(-2) + 
   3*z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*z^4 - z^4/a^10 + (6*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (3*z^6)/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53352] -> 
  1 + a^(-4) - 2/a^2 + a^2 + a^4 - a^6 + 2*z^2 + z^2/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - a^6*z^2 + z^4/a^6 - (2*z^4)/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 - 3*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 53353] -> -10 + a^(-4) + a^(-2) + 15*a^2 - 
   6*a^4 - 26*z^2 + (4*z^2)/a^4 + 33*a^2*z^2 - 9*a^4*z^2 - 28*z^4 + 
   (6*z^4)/a^4 - (6*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 17*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53354] -> 
  -3*a^4 + 10*a^6 - 6*a^8 + z^2 + 2*a^2*z^2 - 11*a^4*z^2 + 23*a^6*z^2 - 
   4*a^8*z^2 - 2*a^10*z^2 + 2*z^4 + 2*a^2*z^4 - 16*a^4*z^4 + 16*a^6*z^4 + 
   3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 11*a^4*z^6 + 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 53355] -> 
  a^(-4) - a^(-2) - 2*a^2 + 6*a^4 - 3*a^6 - z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 - 
   6*a^2*z^2 + 12*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   7*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 3*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53356] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 
   5*z^2 + 16*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 26*a^2*z^4 - 29*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53357] -> -a^(-14) - a^(-12) + 5/a^10 - 
   5/a^8 + 2/a^6 + a^(-4) - (3*z^2)/a^14 + (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (11*z^2)/a^8 + (5*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 + 
   (3*z^4)/a^10 - (15*z^4)/a^8 + (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53358] -> 
  -a^(-14) + 2/a^10 - a^(-8) - a^(-6) + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (2*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53359] -> a^(-2) - a^2 + a^4 + z^2 - z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (2*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - 
   (3*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53360] -> 
  1 - a^4 + 3*a^6 - 3*a^8 + a^10 + 3*z^2 - (2*z^2)/a^2 + a^2*z^2 - 
   6*a^4*z^2 + 8*a^6*z^2 - 4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 + 3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 53361] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   3*a^2*z^2 - 5*a^4*z^2 + 9*a^6*z^2 - 4*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   7*a^2*z^4 - 13*a^4*z^4 + 11*a^6*z^4 - 4*a^8*z^4 - 2*z^6 + 9*a^2*z^6 - 
   11*a^4*z^6 + 6*a^6*z^6 - z^8 + 4*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53362] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (4*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + 
   (2*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 + 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^4, 
 Knot[15, Alternating, 53363] -> a^2 + a^6 - 2*a^8 + 2*a^10 - a^12 + 
   3*a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - 9*a^8*z^2 + 7*a^10*z^2 - a^12*z^2 + 
   2*a^2*z^4 - 10*a^4*z^4 + 13*a^6*z^4 - 14*a^8*z^4 + 4*a^10*z^4 + 
   2*a^2*z^6 - 9*a^4*z^6 + 12*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 4*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 53364] -> 
  a^(-2) - 2*a^4 + 3*a^6 - a^8 - 8*z^2 + (3*z^2)/a^2 + 8*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + (4*z^4)/a^2 + 18*a^2*z^4 - 
   15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 6*a^4*z^6 - 
   5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, Knot[15, Alternating, 53365] -> 
  -1 + a^(-2) + a^2 - 8*z^2 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 + 
   4*a^2*z^2 + a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (7*z^4)/a^2 + a^2*z^4 + 3*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 53366] -> 
  2 - a^(-10) + 4/a^6 - 3/a^4 - a^(-2) + 4*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 - (4*z^2)/a^2 + 3*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53367] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 12*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 14*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53368] -> 
  -4 + 2/a^2 + 3*a^2 + a^4 - a^6 - 10*z^2 + z^2/a^6 - z^2/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 10*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (5*z^4)/a^2 - 2*a^2*z^4 + 3*a^4*z^4 - 3*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 53369] -> 
  -1 + 2*a^2 + a^4 - a^8 + z^2/a^4 - z^2/a^2 + a^2*z^2 + 2*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + 
   3*a^6*z^4 - (2*z^6)/a^2 - a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 53370] -> -1 + a^(-4) - a^(-2) + 2*a^2 + a^4 - a^6 - 
   4*z^2 + z^2/a^6 - z^2/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 6*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - 
   (3*z^6)/a^4 + (4*z^6)/a^2 - 3*a^2*z^6 + z^8 + (2*z^8)/a^2, 
 Knot[15, Alternating, 53371] -> 4 + 3/a^4 - 6/a^2 + 2*z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (12*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 53372] -> 
  -2 + a^(-6) - a^(-4) + a^(-2) + 2*a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 - (2*z^2)/a^2 + 2*z^4 - (3*z^4)/a^8 + (4*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + (3*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53373] -> -2 + 2/a^2 - 2*a^2 + 5*a^4 - 2*a^6 - 4*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 - 
   2*z^4 + z^4/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   z^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 53374] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 2*z^2 + 
   z^2/a^4 - z^2/a^2 - a^2*z^2 - 3*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + z^4 + 
   z^4/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - 
   (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 53375] -> 
  2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 2*a^10 - z^2 + 5*a^2*z^2 - 12*a^4*z^2 + 
   22*a^6*z^2 - 15*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 16*a^4*z^4 + 
   24*a^6*z^4 - 12*a^8*z^4 + a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 
   14*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 53376] -> 5*a^6 - 3*a^8 - 3*a^10 + 2*a^12 - a^2*z^2 + 
   2*a^4*z^2 + 10*a^6*z^2 - 4*a^8*z^2 - 7*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 
   2*a^4*z^4 + 11*a^6*z^4 - 2*a^8*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   3*a^4*z^6 + 8*a^6*z^6 + 2*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 2*a^6*z^8 + 
   a^8*z^8, Knot[15, Alternating, 53377] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + 
   a^10 - a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - 
   z^4/a^2 + 5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53378] -> 2*a^4 + a^6 - 2*a^8 - a^10 + a^12 + 
   3*a^4*z^2 + 3*a^6*z^2 - 3*a^8*z^2 - 2*a^10*z^2 + a^12*z^2 - z^4 - 
   a^2*z^4 + 3*a^4*z^4 + 3*a^6*z^4 - 2*a^8*z^4 - 2*a^10*z^4 + a^2*z^6 + 
   3*a^4*z^6 + 3*a^6*z^6 + a^8*z^6, Knot[15, Alternating, 53379] -> 
  -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 21*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 25*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 15*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53380] -> 
  -3 + 5*a^2 + 2*a^4 - 3*a^6 - 5*z^2 + z^2/a^4 - z^2/a^2 + 9*a^2*z^2 + 
   7*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (3*z^4)/a^4 - z^4/a^2 + 5*a^2*z^4 + 
   8*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 53381] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53382] -> 
  -1 + a^2 + 3*a^4 - a^6 - a^8 - 3*z^2 + z^2/a^4 + 2*a^2*z^2 + 6*a^4*z^2 + 
   a^6*z^2 - a^8*z^2 - 4*z^4 + z^4/a^4 - 2*a^2*z^4 + 3*a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 53383] -> 
  3 + a^(-4) - 2/a^2 - 4*a^2 + 5*a^4 - 2*a^6 + 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53384] -> 
  1 - 3*a^2 + 4*a^4 + a^6 - 2*a^8 - z^2 + z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - 6*a^2*z^4 + a^4*z^4 + 
   2*a^6*z^4 - 3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 53385] -> a^(-4) - a^(-2) + a^2 - a^4 + 2*a^6 - a^8 - 
   z^2 + z^2/a^6 - z^2/a^4 - z^2/a^2 + a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 - 
   z^4 - (2*z^4)/a^4 - 3*a^4*z^4 + z^6 + z^6/a^2 + a^2*z^6, 
 Knot[15, Alternating, 53386] -> 1 - a^2 + 2*a^6 - a^10 - z^2 + z^2/a^4 + 
   z^2/a^2 - 2*a^2*z^2 + 3*a^6*z^2 + 2*a^8*z^2 - 3*z^4 - z^4/a^2 - 
   4*a^2*z^4 - 3*a^4*z^4 - a^6*z^4, Knot[15, Alternating, 53387] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 14*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (9*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (24*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (10*z^6)/a^4 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53388] -> 
  a^(-2) - a^2 + a^4 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + 5*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 + 2*z^6 - (3*z^6)/a^4 + z^6/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53389] -> 
  3 - a^(-2) - 4*a^4 + 5*a^6 - 2*a^8 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 - 8*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 4*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 - 3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 53390] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - z^2/a^6 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 + 2*z^4 - z^4/a^6 + 
   (4*z^4)/a^4 - (3*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - z^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - z^8 - z^8/a^2, Knot[15, Alternating, 53391] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 3*z^2 + 11*a^2*z^2 - 16*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 5*z^4 + 18*a^2*z^4 - 22*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53392] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 23*z^2 - (4*z^2)/a^4 + (13*z^2)/a^2 + 
   22*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 30*z^4 - (6*z^4)/a^4 + (24*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53393] -> 
  -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 6*z^2 + (2*z^2)/a^2 + 
   10*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 14*z^4 + (3*z^4)/a^2 + 
   19*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 12*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53394] -> -a^(-14) - a^(-12) + 7/a^10 - 10/a^8 + 
   6/a^6 - (4*z^2)/a^14 + (4*z^2)/a^12 + (16*z^2)/a^10 - (25*z^2)/a^8 + 
   (17*z^2)/a^6 - (4*z^4)/a^14 + (14*z^4)/a^12 + (8*z^4)/a^10 - 
   (28*z^4)/a^8 + (17*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (5*z^6)/a^10 - 
   (19*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 53395] -> 
  -a^(-14) + 3/a^10 - 3/a^8 + 2/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (6*z^2)/a^10 - (5*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + 
   (4*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (2*z^6)/a^12 - 
   z^6/a^10 - (7*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 53396] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + 
   a^6 - 11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   z^4/a^4 + (3*z^4)/a^2 + 13*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 6*z^6 - 
   z^6/a^4 + (4*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 53397] -> 
  -a^(-14) + 4/a^10 - 5/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (9*z^2)/a^10 - (12*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (3*z^4)/a^10 - (15*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53398] -> 
  -3 - a^(-4) + 3/a^2 + 4*a^2 - 3*a^4 + a^6 - 13*z^2 - z^2/a^4 + 
   (7*z^2)/a^2 + 13*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 17*z^4 - z^4/a^4 + 
   (7*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 11*z^6 - z^6/a^4 + 
   (5*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 53399] -> 2*a^2 - 4*a^4 + 8*a^6 - 7*a^8 + 
   2*a^10 - z^2 + 5*a^2*z^2 - 12*a^4*z^2 + 22*a^6*z^2 - 15*a^8*z^2 + 
   3*a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 16*a^4*z^4 + 24*a^6*z^4 - 12*a^8*z^4 + 
   a^10*z^4 - z^6 + 8*a^2*z^6 - 11*a^4*z^6 + 14*a^6*z^6 - 3*a^8*z^6 + 
   2*a^2*z^8 - 5*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 53400] -> 1 - a^2 + a^4 + 2*a^6 - 3*a^8 + a^10 - 
   a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + a^10*z^2 + z^4 - z^4/a^2 + 
   5*a^6*z^4 - 3*a^8*z^4 + 2*z^6 + 3*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53401] -> -5/a^12 + 14/a^10 - 16/a^8 + 8/a^6 - 
   (2*z^2)/a^14 - (4*z^2)/a^12 + (29*z^2)/a^10 - (36*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^4)/a^14 + (7*z^4)/a^12 + (19*z^4)/a^10 - 
   (36*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - (21*z^6)/a^8 + 
   (7*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - (7*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 53402] -> 
  -a^(-14) + a^(-12) - a^(-10) + 4/a^8 - 6/a^6 + 4/a^4 - (2*z^2)/a^14 + 
   (5*z^2)/a^12 - (2*z^2)/a^10 + (8*z^2)/a^8 - (11*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (3*z^4)/a^10 + (3*z^4)/a^8 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^12 - (3*z^6)/a^10 - (2*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, Knot[15, Alternating, 53403] -> 
  -a^2 + a^4 + 9*a^6 - 12*a^8 + 4*a^10 - 6*a^2*z^2 + 7*a^4*z^2 + 25*a^6*z^2 - 
   30*a^8*z^2 + 8*a^10*z^2 - 11*a^2*z^4 + 17*a^4*z^4 + 28*a^6*z^4 - 
   30*a^8*z^4 + 5*a^10*z^4 - 6*a^2*z^6 + 17*a^4*z^6 + 19*a^6*z^6 - 
   13*a^8*z^6 + a^10*z^6 - a^2*z^8 + 7*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + 
   a^4*z^10 + a^6*z^10, Knot[15, Alternating, 53404] -> 
  -a^2 + 4*a^4 + a^6 - 5*a^8 + 2*a^10 - z^2 - 3*a^2*z^2 + 12*a^4*z^2 + 
   2*a^6*z^2 - 10*a^8*z^2 + 3*a^10*z^2 - 3*z^4 + 14*a^4*z^4 + 2*a^6*z^4 - 
   8*a^8*z^4 + a^10*z^4 - z^6 + 3*a^2*z^6 + 9*a^4*z^6 + 3*a^6*z^6 - 
   2*a^8*z^6 + a^2*z^8 + 2*a^4*z^8 + a^6*z^8, Knot[15, Alternating, 53405] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 - 2*z^2 + 2*a^2*z^2 + 6*a^4*z^2 - 2*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - z^4 - z^4/a^2 + 4*a^2*z^4 + 5*a^4*z^4 - a^6*z^4 - 
   2*a^8*z^4 + z^6 + 3*a^2*z^6 + 3*a^4*z^6 + a^6*z^6, 
 Knot[15, Alternating, 53406] -> -6 + a^(-4) - a^(-2) + 13*a^2 - 6*a^4 - 
   18*z^2 + (6*z^2)/a^4 - (7*z^2)/a^2 + 34*a^2*z^2 - 11*a^4*z^2 - 23*z^4 + 
   (11*z^4)/a^4 - (17*z^4)/a^2 + 34*a^2*z^4 - 6*a^4*z^4 - 18*z^6 + 
   (6*z^6)/a^4 - (17*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53407] -> 
  1 + a^(-4) - 3/a^2 + 5*a^2 - 3*a^4 + 2*z^2 + z^2/a^6 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 + 11*a^2*z^2 - 4*a^4*z^2 + (3*z^4)/a^6 - (13*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 53408] -> 
  -3 + a^(-4) - a^(-2) + 5*a^2 + a^4 - 2*a^6 - 9*z^2 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 + 9*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (4*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53409] -> a^(-4) - 2/a^2 + 3*a^2 - a^6 - 2*z^2 + 
   z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^6 - (5*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 - 
   (3*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 53410] -> 
  5*a^2 - 9*a^4 + 7*a^6 - 2*a^8 - 4*z^2 + z^2/a^2 + 13*a^2*z^2 - 22*a^4*z^2 + 
   15*a^6*z^2 - 3*a^8*z^2 - 9*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 24*a^4*z^4 + 
   12*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 14*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53411] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 + z^2 - 
   a^2*z^2 - 5*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 + z^4/a^4 - z^4/a^2 - 
   5*a^4*z^4 + 3*a^6*z^4 - (2*z^6)/a^2 - 3*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 53412] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 9*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (12*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 53413] -> 
  -2 + a^(-2) + 4*a^2 - 4*a^4 + 3*a^6 - a^8 - 9*z^2 + (3*z^2)/a^2 + 
   11*a^2*z^2 - 11*a^4*z^2 + 8*a^6*z^2 - 2*a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 
   13*a^2*z^4 - 14*a^4*z^4 + 8*a^6*z^4 - a^8*z^4 - 7*z^6 + z^6/a^2 + 
   9*a^2*z^6 - 10*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53414] -> -a^(-14) + a^(-12) + a^(-6) - 
   2/a^4 + 2/a^2 - z^2/a^14 + (4*z^2)/a^12 - z^2/a^10 + z^2/a^8 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 + (3*z^2)/a^2 + (2*z^4)/a^12 - (2*z^4)/a^10 - 
   z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - 
   z^6/a^4, Knot[15, Alternating, 53415] -> -a^(-14) + a^(-12) + a^(-10) - 
   4/a^6 + 4/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + (7*z^2)/a^10 - (6*z^2)/a^8 - 
   (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (5*z^4)/a^10 - 
   (11*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - 
   (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53416] -> -14 + a^(-4) + 2/a^2 + 20*a^2 - 8*a^4 - 
   35*z^2 + (5*z^2)/a^4 + z^2/a^2 + 44*a^2*z^2 - 12*a^4*z^2 - 36*z^4 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 + 37*a^2*z^4 - 6*a^4*z^4 - 21*z^6 + 
   (5*z^6)/a^4 - (12*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53417] -> 
  -1 + 2/a^4 - 4/a^2 + 8*a^2 - 4*a^4 - 2*z^2 + z^2/a^6 + (4*z^2)/a^4 - 
   (11*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 53418] -> -a^(-14) + a^(-12) + 5/a^10 - 12/a^8 + 
   8/a^6 - (2*z^2)/a^14 + z^2/a^12 + (17*z^2)/a^10 - (32*z^2)/a^8 + 
   (20*z^2)/a^6 - (3*z^4)/a^14 + (8*z^4)/a^12 + (13*z^4)/a^10 - 
   (35*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + (8*z^6)/a^12 - z^6/a^10 - 
   (21*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 53419] -> 
  -a^(-14) + 2/a^12 - a^(-10) + a^(-8) - 4/a^6 + 4/a^4 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 + (5*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 - (4*z^4)/a^10 + (2*z^4)/a^8 - (10*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^12 - (3*z^6)/a^10 - (2*z^6)/a^8 - (5*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - z^8/a^8 - z^8/a^6, Knot[15, Alternating, 53420] -> 
  a^(-4) - a^(-2) - 3*a^2 + 8*a^4 - 4*a^6 - z^2 + (4*z^2)/a^4 - (5*z^2)/a^2 - 
   8*a^2*z^2 + 16*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (4*z^4)/a^4 - (8*z^4)/a^2 - 
   9*a^2*z^4 + 10*a^4*z^4 - a^6*z^4 - 4*z^6 + z^6/a^4 - (5*z^6)/a^2 - 
   5*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53421] -> -1 + a^(-4) - a^(-2) + a^2 + 3*a^4 - 2*a^6 - 
   3*z^2 + z^2/a^6 + z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 + 5*a^4*z^2 - a^6*z^2 - 
   4*z^4 + z^4/a^6 - z^4/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*a^4*z^4 - 2*z^6 - 
   z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, Knot[15, Alternating, 53422] -> 
  3*a^2 - 4*a^4 + 4*a^6 - 3*a^8 + a^10 - 4*z^2 + 12*a^2*z^2 - 15*a^4*z^2 + 
   13*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 5*z^4 + 19*a^2*z^4 - 21*a^4*z^4 + 
   15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - 
   z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53423] -> 
  -5 + 2/a^2 + 8*a^2 - 6*a^4 + 2*a^6 - 22*z^2 - (5*z^2)/a^4 + (14*z^2)/a^2 + 
   21*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 29*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53424] -> 
  -a^(-14) - a^(-12) + 5/a^10 - 4/a^8 + 2/a^4 - (3*z^2)/a^14 + (5*z^2)/a^12 + 
   (8*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 + z^4/a^10 - (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53425] -> 
  -1 + a^(-2) + 2*a^2 - 4*a^4 + 5*a^6 - 2*a^8 - 9*z^2 + (3*z^2)/a^2 + 
   13*a^2*z^2 - 16*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 17*z^4 + (4*z^4)/a^2 + 
   21*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53426] -> -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (5*z^2)/a^8 + (9*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 + (4*z^4)/a^6 - (22*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53427] -> -a^(-14) - a^(-12) + 9/a^10 - 14/a^8 + 
   8/a^6 - (4*z^2)/a^14 + (6*z^2)/a^12 + (15*z^2)/a^10 - (31*z^2)/a^8 + 
   (20*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 + (5*z^4)/a^10 - 
   (32*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (6*z^6)/a^10 - 
   (20*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (7*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 53428] -> 
  -a^(-14) + 3/a^10 - a^(-8) - 4/a^6 + 4/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (8*z^2)/a^10 - (6*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (5*z^4)/a^10 - (11*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53429] -> 
  -a^(-14) + a^(-12) + 2/a^8 - 5/a^6 + 4/a^4 - (3*z^2)/a^14 + (8*z^2)/a^12 - 
   (3*z^2)/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 - z^4/a^14 + 
   (8*z^4)/a^12 - (5*z^4)/a^10 - (9*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^12 - 
   (4*z^6)/a^10 - (3*z^6)/a^8 - (5*z^6)/a^6 + z^6/a^4 - z^8/a^10 - z^8/a^8 - 
   z^8/a^6, Knot[15, Alternating, 53430] -> -a^(-14) + a^(-12) + a^(-8) - 
   a^(-6) - a^(-4) + 2/a^2 - z^2/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 - 
   (2*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (2*z^4)/a^12 - (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - 
   (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 53431] -> 
  -a^(-14) + a^(-12) + a^(-10) - a^(-8) - a^(-4) + 2/a^2 - z^2/a^14 + 
   (3*z^2)/a^12 + (2*z^2)/a^10 - z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + (2*z^4)/a^12 - (3*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53432] -> -a^(-14) + 2/a^12 - a^(-10) - a^(-4) + 
   2/a^2 - z^2/a^14 + (4*z^2)/a^12 - (2*z^2)/a^10 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + (2*z^4)/a^12 - (2*z^4)/a^10 - z^4/a^8 - z^4/a^6 - 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 - z^6/a^8 - z^6/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53433] -> a^(-4) - a^(-2) + 3*a^6 - 2*a^8 - z^2 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 
   3*z^4 + z^4/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^6*z^4 - z^6 - 
   z^6/a^2 - a^2*z^6 - a^4*z^6, Knot[15, Alternating, 53434] -> 
  a^(-4) - a^(-2) + a^4 + a^6 - a^8 - z^2 + z^2/a^6 - (2*z^2)/a^2 - a^2*z^2 + 
   a^4*z^2 + 2*a^6*z^2 - 2*z^4 - z^4/a^4 - (2*z^4)/a^2 - 2*a^2*z^4 - a^4*z^4, 
 Knot[15, Alternating, 53435] -> -8 - 3/a^4 + 9/a^2 + 3*a^2 - 18*z^2 - 
   z^2/a^8 + (3*z^2)/a^6 - (10*z^2)/a^4 + (22*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (10*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 53436] -> -1 - a^(-4) + 3/a^2 - a^2 + a^4 - z^2 - 
   z^2/a^8 + (2*z^2)/a^6 - (4*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 
   3*z^4 - z^4/a^8 + (3*z^4)/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53437] -> -a^(-14) - a^(-12) + 5/a^10 - 3/a^8 - 
   2/a^6 + 3/a^4 - (3*z^2)/a^14 + (4*z^2)/a^12 + (10*z^2)/a^10 - 
   (8*z^2)/a^8 - (3*z^2)/a^6 + (7*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + 
   (5*z^4)/a^10 - (12*z^4)/a^8 - (4*z^4)/a^6 + (5*z^4)/a^4 + (2*z^6)/a^12 - 
   (2*z^6)/a^10 - (9*z^6)/a^8 - (4*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53438] -> 
  -a^(-14) + 2/a^10 - 2/a^6 + a^(-4) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - z^2/a^8 - (3*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   (2*z^4)/a^12 + (2*z^4)/a^10 - (4*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^2 - 
   z^6/a^10 - (3*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53439] -> -7 - a^(-4) + 4/a^2 + 8*a^2 - 3*a^4 - 
   21*z^2 + z^2/a^6 - (3*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 4*a^4*z^2 - 
   25*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + (14*z^4)/a^2 + 14*a^2*z^4 - a^4*z^4 - 
   15*z^6 + z^6/a^6 - (8*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53440] -> 
  -2 + a^(-2) + 2*a^2 + a^4 - a^6 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53441] -> 
  -4 - 2/a^4 + 6/a^2 + a^4 - 6*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (13*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53442] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   7*z^2 - z^2/a^4 + (2*z^2)/a^2 + 13*a^2*z^2 - 11*a^4*z^2 + 2*a^6*z^2 - 
   10*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 53443] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (10*z^2)/a^14 + 
   (2*z^2)/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - (2*z^4)/a^16 - 
   (10*z^4)/a^14 + (20*z^4)/a^12 + (26*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (19*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53444] -> 
  2 + a^(-4) - 2/a^2 - a^2 + 2*a^4 - a^6 - z^2 + z^2/a^6 - (2*z^2)/a^2 - 
   a^2*z^2 + 4*a^4*z^2 - a^6*z^2 - 5*z^4 + z^4/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 - 
   3*a^2*z^6 + z^8 + (2*z^8)/a^2, Knot[15, Alternating, 53445] -> 
  -1 + a^(-4) + a^4 - 4*z^2 - z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   3*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 + 
   (8*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (3*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53446] -> 
  -3 - a^(-4) + 4/a^2 + a^4 - 6*z^2 - z^2/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4/a^8 + (4*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 + 
   (4*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53447] -> 
  a^(-2) - a^2 + a^4 - z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 3*z^4 - z^4/a^8 + (6*z^4)/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (3*z^6)/a^6 - 
   (5*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53448] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   12*z^2 + z^2/a^6 + z^2/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 18*z^4 + 
   (2*z^4)/a^6 - (5*z^4)/a^4 + (6*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53449] -> 
  -1 + 6*a^2 - 10*a^4 + 10*a^6 - 4*a^8 - 5*z^2 + (2*z^2)/a^2 + 15*a^2*z^2 - 
   25*a^4*z^2 + 21*a^6*z^2 - 4*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 16*a^2*z^4 - 
   28*a^4*z^4 + 14*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 11*a^2*z^6 - 
   15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53450] -> -2 + a^(-2) + 4*a^2 - 6*a^4 + 7*a^6 - 
   3*a^8 - 9*z^2 + (3*z^2)/a^2 + 15*a^2*z^2 - 20*a^4*z^2 + 16*a^6*z^2 - 
   3*a^8*z^2 - 13*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 24*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 13*a^2*z^6 - 13*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53451] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 21*z^2 - (2*z^2)/a^8 + 
   (5*z^2)/a^6 - (14*z^2)/a^4 + (26*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (16*z^4)/a^4 + (28*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + (15*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 53452] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 3*z^2 - 
   z^2/a^8 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 
   6*z^4 - z^4/a^8 + (3*z^4)/a^6 - z^4/a^4 + (3*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 + (2*z^6)/a^6 - z^6/a^4 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53453] -> -a^(-14) + 3/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (9*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53454] -> -a^(-16) + 5/a^14 - 10/a^12 + 5/a^10 + 
   2/a^8 - z^2/a^16 + (2*z^2)/a^14 - (15*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (2*z^4)/a^14 + z^4/a^12 + (24*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (9*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 53455] -> -a^(-14) + 2/a^12 - 4/a^10 + 3/a^8 + 
   a^(-6) - z^2/a^16 - (2*z^2)/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 + 
   (9*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + (6*z^4)/a^12 + (4*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 53456] -> 
  3 + a^(-4) - 2/a^2 - 4*a^2 + 5*a^4 - 2*a^6 + 6*z^2 + z^2/a^6 - 
   (4*z^2)/a^2 - 10*a^2*z^2 + 8*a^4*z^2 - a^6*z^2 + 4*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (2*z^4)/a^2 - 9*a^2*z^4 + 3*a^4*z^4 + 2*z^6 - (2*z^6)/a^4 + 
   z^6/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53457] -> 
  4 - a^(-2) - 4*a^2 + a^4 + 3*a^6 - 2*a^8 + 6*z^2 + z^2/a^4 - (2*z^2)/a^2 - 
   6*a^2*z^2 - 2*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 53458] -> 
  3 - a^(-6) + 4/a^4 - 4/a^2 - 3*a^2 + 2*a^4 + 6*z^2 - z^2/a^8 - z^2/a^6 + 
   (6*z^2)/a^4 - (8*z^2)/a^2 - 7*a^2*z^2 + a^4*z^2 + 7*z^4 - z^4/a^8 + 
   (2*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53459] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 11*z^2 - z^2/a^8 + z^2/a^6 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + a^4*z^2 + 9*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + z^4/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53460] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 - 2*z^2 - z^2/a^8 + z^2/a^6 - 
   z^2/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + (2*z^4)/a^6 + z^4/a^2 + 3*a^2*z^4 - 
   z^6 - z^6/a^4 - z^6/a^2, Knot[15, Alternating, 53461] -> 
  2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 - z^2 - z^2/a^4 + 12*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 6*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 18*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 7*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53462] -> 2 - 3*a^2 + 3*a^4 - 2*a^8 + a^10 - z^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 9*a^6*z^2 - 6*a^8*z^2 + a^10*z^2 - 4*z^4 + 
   14*a^2*z^4 - 19*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 13*a^2*z^6 - 
   14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53463] -> 2 - 3*a^2 + 2*a^4 + a^6 - a^8 - 5*z^2 + 
   (2*z^2)/a^2 + 6*a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 15*z^4 + 
   (4*z^4)/a^2 + 18*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53464] -> -9 - 2/a^4 + 7/a^2 + 9*a^2 - 6*a^4 + 2*a^6 - 
   29*z^2 - (5*z^2)/a^4 + (19*z^2)/a^2 + 24*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 
   34*z^4 - (6*z^4)/a^4 + (26*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 19*z^6 - 
   (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + (6*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 53465] -> 4*a^2 - 8*a^4 + 9*a^6 - 7*a^8 + 
   5*a^10 - 2*a^12 + 8*a^2*z^2 - 22*a^4*z^2 + 28*a^6*z^2 - 20*a^8*z^2 + 
   10*a^10*z^2 - a^12*z^2 + 7*a^2*z^4 - 29*a^4*z^4 + 32*a^6*z^4 - 
   20*a^8*z^4 + 4*a^10*z^4 + 4*a^2*z^6 - 18*a^4*z^6 + 18*a^6*z^6 - 
   6*a^8*z^6 + a^2*z^8 - 6*a^4*z^8 + 4*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 53466] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 8*z^2 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^6 + (7*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53467] -> -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 
   7*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 6*a^4*z^4 - z^6 - 
   z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 53468] -> -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 
   7*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 4*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 - 
   3*z^4 - z^4/a^4 + (8*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53469] -> 
  a^(-2) - 2*a^2 + 4*a^4 - 3*a^6 + a^8 - 3*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   6*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 
   6*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 53470] -> -3 + a^(-2) + 7*a^2 - 10*a^4 + 10*a^6 - 
   4*a^8 - 9*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 26*a^4*z^2 + 21*a^6*z^2 - 
   4*a^8*z^2 - 12*z^4 + (3*z^4)/a^2 + 19*a^2*z^4 - 29*a^4*z^4 + 14*a^6*z^4 - 
   a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 15*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53471] -> 
  -2 + 2/a^2 + a^2 - a^6 + a^8 - 6*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   6*a^4*z^4 - 2*z^6 - z^6/a^4 + (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, 
 Knot[15, Alternating, 53472] -> a^(-2) - a^2 + 2*a^6 - a^8 - 7*z^2 + 
   (3*z^2)/a^2 + 6*a^2*z^2 - 9*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 16*z^4 + 
   (4*z^4)/a^2 + 17*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53473] -> -1 + a^(-2) + a^2 - a^6 + 2*a^8 - a^10 - 
   5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 
   6*z^4 + z^4/a^2 + 2*a^2*z^4 + 3*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + 
   a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 53474] -> 
  a^(-2) - a^2 + a^4 - a^6 + 2*a^8 - a^10 - 4*z^2 + (2*z^2)/a^2 + 2*a^4*z^2 - 
   5*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + z^4/a^2 + a^2*z^4 + 3*a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 53475] -> 2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 
   5*z^2 + 16*a^2*z^2 - 20*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   7*z^4 + 26*a^2*z^4 - 29*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 - 4*z^6 + 
   18*a^2*z^6 - 17*a^4*z^6 + 6*a^6*z^6 - z^8 + 6*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53476] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + 
   a^10 + 3*z^2 - (2*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 8*a^6*z^2 - 
   4*a^8*z^2 + 6*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 7*a^4*z^4 + 6*a^6*z^4 + 
   3*z^6 - z^6/a^2 + a^2*z^6 - 4*a^4*z^6 + z^8 + a^2*z^8, 
 Knot[15, Alternating, 53477] -> a^2 - a^8 + 3*a^10 - 2*a^12 + 5*a^2*z^2 - 
   7*a^4*z^2 + 11*a^6*z^2 - 12*a^8*z^2 + 10*a^10*z^2 - a^12*z^2 + 4*a^2*z^4 - 
   18*a^4*z^4 + 19*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 3*a^2*z^6 - 
   13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 4*a^6*z^8 - 
   a^4*z^10, Knot[15, Alternating, 53478] -> a^2 + a^10 - a^12 + 2*z^2 - 
   a^2*z^2 + 2*a^4*z^2 - 2*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 + a^6*z^4 - 
   6*a^8*z^4 + z^6 - 2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53479] -> 2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - 
   4*z^2 + 11*a^2*z^2 - 12*a^4*z^2 + 12*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 19*a^2*z^4 - 20*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 14*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 53480] -> a^2 + a^6 - 3*a^8 + 4*a^10 - 
   2*a^12 + 5*a^2*z^2 - 7*a^4*z^2 + 11*a^6*z^2 - 13*a^8*z^2 + 10*a^10*z^2 - 
   a^12*z^2 + 4*a^2*z^4 - 18*a^4*z^4 + 19*a^6*z^4 - 18*a^8*z^4 + 4*a^10*z^4 + 
   3*a^2*z^6 - 13*a^4*z^6 + 15*a^6*z^6 - 6*a^8*z^6 + a^2*z^8 - 5*a^4*z^8 + 
   4*a^6*z^8 - a^4*z^10, Knot[15, Alternating, 53481] -> 
  a^2 + a^4 - 2*a^6 + a^8 + a^10 - a^12 + 2*z^2 - a^2*z^2 + 2*a^4*z^2 - 
   a^6*z^2 - 2*a^8*z^2 + 4*a^10*z^2 + z^4 - 6*a^2*z^4 + a^6*z^4 - 6*a^8*z^4 + 
   z^6 - 2*a^2*z^6 + a^4*z^6 + 4*a^6*z^6 - a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 53482] -> -2 + a^(-2) + 4*a^2 - 5*a^4 + 5*a^6 - 
   2*a^8 - 8*z^2 + (3*z^2)/a^2 + 11*a^2*z^2 - 15*a^4*z^2 + 13*a^6*z^2 - 
   3*a^8*z^2 - 10*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 - 19*a^4*z^4 + 11*a^6*z^4 - 
   a^8*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 - 12*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53483] -> 
  -a^(-14) + 3/a^10 - 3/a^8 + 2/a^4 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (8*z^2)/a^10 - (9*z^2)/a^8 + (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (3*z^4)/a^10 - (14*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53484] -> 
  -a^(-14) + 2/a^10 - a^(-8) + a^(-2) - z^2/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (2*z^2)/a^2 + 
   (3*z^4)/a^12 + (2*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53485] -> -a^(-14) + 3/a^10 - 3/a^8 + a^(-6) + 
   a^(-2) - z^2/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 + 
   z^2/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^2 - (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53486] -> -a^(-10) + a^(-6) + a^(-4) - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (6*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (10*z^4)/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53487] -> -4/a^12 + 9/a^10 - 7/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 - z^2/a^12 + (17*z^2)/a^10 - (15*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (8*z^4)/a^10 - (16*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53488] -> -a^(-14) + a^(-12) - a^(-10) + 3/a^8 - 
   3/a^6 + a^(-4) + a^(-2) - z^2/a^14 + (3*z^2)/a^12 + (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + (3*z^4)/a^12 - z^4/a^10 - 
   z^4/a^8 - (5*z^4)/a^6 + z^4/a^2 - (2*z^6)/a^10 - (3*z^6)/a^8 - 
   (3*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 53489] -> 
  -a^(-14) + 2/a^10 - 2/a^8 + a^(-6) + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (9*z^4)/a^12 - (6*z^4)/a^10 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (7*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53490] -> a^(-2) - a^2 + 2*a^4 - 2*a^6 + a^8 - 4*z^2 - 
   (3*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 53491] -> 
  -a^(-14) + a^(-12) - a^(-6) + 2/a^4 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53492] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 20*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 
   19*a^2*z^2 - 11*a^4*z^2 + a^6*z^2 - 28*z^4 - (6*z^4)/a^4 + (25*z^4)/a^2 + 
   21*a^2*z^4 - 4*a^4*z^4 - 18*z^6 - (4*z^6)/a^4 + (17*z^6)/a^2 + 6*a^2*z^6 - 
   4*z^8 - z^8/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 53493] -> 
  -3 + 2/a^2 + 3*a^2 - a^4 - a^6 + a^8 - 8*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 + 2*a^4*z^2 - 4*a^6*z^2 - 3*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 53494] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 3*z^2 + (8*z^2)/a^6 - (19*z^2)/a^4 + (15*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (19*z^4)/a^4 + (15*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53495] -> -a^(-14) + 4/a^10 - 6/a^8 + 3/a^6 + a^(-4) - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (6*z^2)/a^10 - (11*z^2)/a^8 + (7*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + z^4/a^10 - (13*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (10*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53496] -> a^(-2) - 3*a^4 + 5*a^6 - 2*a^8 - 8*z^2 + 
   (3*z^2)/a^2 + 10*a^2*z^2 - 15*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 17*z^4 + 
   (4*z^4)/a^2 + 20*a^2*z^4 - 18*a^4*z^4 + 4*a^6*z^4 - 13*z^6 + (3*z^6)/a^2 + 
   15*a^2*z^6 - 6*a^4*z^6 - 5*z^8 + z^8/a^2 + 4*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53497] -> a^(-2) - a^4 + 2*a^8 - a^10 - 4*z^2 + 
   (2*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 
   z^4/a^2 + a^2*z^4 + 2*a^4*z^4 - 6*a^6*z^4 - 2*z^6 + z^6/a^2 + a^2*z^6 + 
   4*a^4*z^6 - z^8 - a^2*z^8, Knot[15, Alternating, 53498] -> 
  -3 + 2/a^2 + 2*a^2 + a^4 - 2*a^6 + a^8 - 8*z^2 - (3*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^4*z^2 - 4*a^6*z^2 - 4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (3*z^6)/a^2 - 4*a^2*z^6 + z^8 + 
   z^8/a^2, Knot[15, Alternating, 53499] -> -3/a^12 + 6/a^10 - 5/a^8 + 
   2/a^6 + a^(-4) - (2*z^2)/a^14 - z^2/a^12 + (14*z^2)/a^10 - (12*z^2)/a^8 + 
   (6*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (9*z^4)/a^10 - 
   (17*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53500] -> -6 + a^(-4) + 10*a^2 - 4*a^4 - 18*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 + 24*a^2*z^2 - 7*a^4*z^2 - 20*z^4 + (6*z^4)/a^4 - 
   (7*z^4)/a^2 + 23*a^2*z^4 - 4*a^4*z^4 - 13*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53501] -> 
  -4/a^12 + 9/a^10 - 7/a^8 + a^(-6) + 2/a^4 - (2*z^2)/a^14 - z^2/a^12 + 
   (17*z^2)/a^10 - (15*z^2)/a^8 + (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + 
   (6*z^4)/a^12 + (8*z^4)/a^10 - (16*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53502] -> 
  -10 + a^(-6) - 5/a^4 + 11/a^2 + 4*a^2 - 24*z^2 - (9*z^2)/a^4 + 
   (25*z^2)/a^2 + 6*a^2*z^2 - 22*z^4 - (3*z^4)/a^6 - (2*z^4)/a^4 + 
   (25*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53503] -> 
  -a^(-14) + 3/a^10 - 2/a^8 - a^(-6) + a^(-4) + a^(-2) - z^2/a^14 + 
   (3*z^2)/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (2*z^2)/a^2 + (3*z^4)/a^12 - (6*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^2 - 
   (2*z^6)/a^10 - (4*z^6)/a^8 - (3*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53504] -> -10 + a^(-4) + a^(-2) + 15*a^2 - 6*a^4 - 
   26*z^2 + (4*z^2)/a^4 + 33*a^2*z^2 - 9*a^4*z^2 - 28*z^4 + (6*z^4)/a^4 - 
   (6*z^4)/a^2 + 29*a^2*z^4 - 5*a^4*z^4 - 17*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53505] -> 
  a^(-2) - a^2 + a^4 - a^6 + 2*a^8 - a^10 - 5*z^2 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 7*z^4 + z^4/a^2 + 4*a^2*z^4 + a^4*z^4 - 
   6*a^6*z^4 - 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 4*a^4*z^6 - z^8 - a^2*z^8, 
 Knot[15, Alternating, 53506] -> -4/a^12 + 8/a^10 - 3/a^8 - 4/a^6 + 4/a^4 - 
   (2*z^2)/a^14 + (14*z^2)/a^10 - (8*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 - (11*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53507] -> -a^(-14) + a^(-12) - a^(-10) + 3/a^8 - 
   2/a^6 - a^(-4) + 2/a^2 - z^2/a^14 + (3*z^2)/a^12 + z^2/a^10 + 
   (3*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (3*z^2)/a^2 + (2*z^4)/a^12 - 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 - 
   (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 53508] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 - z^2/a^4 + (2*z^2)/a^2 + 14*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 19*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 53509] -> 1 - a^(-14) + a^(-12) + a^(-6) - a^(-4) + 
   z^2 + (2*z^2)/a^12 + z^2/a^10 + z^2/a^6 - z^2/a^4 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 53510] -> -a^(-14) + 3/a^10 - 2/a^8 - a^(-4) + 2/a^2 - 
   z^2/a^14 + (3*z^2)/a^12 + (4*z^2)/a^10 - (3*z^2)/a^8 - z^2/a^6 - z^2/a^4 + 
   (3*z^2)/a^2 + (2*z^4)/a^12 - (4*z^4)/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + 
   z^4/a^2 - z^6/a^10 - (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53511] -> 1 - a^(-14) + a^(-12) + a^(-8) - a^(-6) + 
   z^2 + (2*z^2)/a^12 + z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 - z^4/a^10 - 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 53512] -> 1 - a^(-14) + a^(-12) + a^(-10) - a^(-8) + 
   z^2 + (2*z^2)/a^12 + z^2/a^10 - z^2/a^8 - z^2/a^4 - z^4/a^10 - 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 - z^4/a^2, 
 Knot[15, Alternating, 53513] -> 1 - a^(-14) + 2/a^12 - a^(-10) + z^2 + 
   (2*z^2)/a^12 - z^2/a^10 - z^2/a^2 - z^4/a^10 - z^4/a^8 - z^4/a^6 - 
   z^4/a^4 - z^4/a^2, Knot[15, Alternating, 53514] -> 
  -5/a^12 + 14/a^10 - 16/a^8 + 8/a^6 - (2*z^2)/a^14 - (4*z^2)/a^12 + 
   (29*z^2)/a^10 - (36*z^2)/a^8 + (20*z^2)/a^6 - (3*z^4)/a^14 + 
   (7*z^4)/a^12 + (19*z^4)/a^10 - (36*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + 
   (8*z^6)/a^12 - (21*z^6)/a^8 + (7*z^6)/a^6 + (2*z^8)/a^12 - (4*z^8)/a^10 - 
   (7*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 53515] -> -12 + 2/a^6 - 9/a^4 + 16/a^2 + 4*a^2 - 
   30*z^2 + z^2/a^6 - (14*z^2)/a^4 + (34*z^2)/a^2 + 8*a^2*z^2 - 28*z^4 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 + (31*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (4*z^6)/a^6 + (7*z^6)/a^4 + (17*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53516] -> -14 + a^(-4) + 2/a^2 + 20*a^2 - 8*a^4 - 
   35*z^2 + (5*z^2)/a^4 + z^2/a^2 + 44*a^2*z^2 - 12*a^4*z^2 - 36*z^4 + 
   (8*z^4)/a^4 - (8*z^4)/a^2 + 37*a^2*z^4 - 6*a^4*z^4 - 21*z^6 + 
   (5*z^6)/a^4 - (12*z^6)/a^2 + 14*a^2*z^6 - a^4*z^6 - 7*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53517] -> 
  -1 + 2/a^4 - 4/a^2 + 8*a^2 - 4*a^4 - 2*z^2 + z^2/a^6 + (4*z^2)/a^4 - 
   (11*z^2)/a^2 + 14*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (2*z^4)/a^6 + z^4/a^4 - 
   (13*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (8*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 53518] -> -4/a^12 + 8/a^10 - 3/a^8 - 4/a^6 + 4/a^4 - 
   (2*z^2)/a^14 + (14*z^2)/a^10 - (8*z^2)/a^8 - (6*z^2)/a^6 + (8*z^2)/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (7*z^4)/a^10 - (11*z^4)/a^8 - (6*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^6)/a^12 - z^6/a^10 - (8*z^6)/a^8 - (4*z^6)/a^6 + 
   z^6/a^4 - z^8/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53519] -> -8 + a^(-8) - 4/a^6 + 4/a^4 + 4/a^2 + 
   4*a^2 - 14*z^2 - (6*z^2)/a^6 + (10*z^2)/a^4 + (4*z^2)/a^2 + 4*a^2*z^2 - 
   9*z^4 - (2*z^4)/a^8 - (2*z^4)/a^6 + (12*z^4)/a^4 + (3*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 53520] -> 
  -3 + 8*a^2 - 4*a^4 - 4*z^2 + 12*a^2*z^2 - 4*a^4*z^2 + 15*z^4 - 
   (4*z^4)/a^2 - 14*a^2*z^4 + 7*a^4*z^4 + 24*z^6 - (4*z^6)/a^2 - 35*a^2*z^6 + 
   12*a^4*z^6 + 12*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 
   8*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 53521] -> 
  2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - (2*z^2)/a^10 - (4*z^2)/a^8 + 
   (7*z^2)/a^6 + z^2/a^4 + z^4/a^12 - (7*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - z^4/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + 
   (6*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 53522] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 3*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 - a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + 
   (10*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53523] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 4*z^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53524] -> 
  a^(-10) - 3/a^8 + 2/a^6 + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (9*z^4)/a^8 - (5*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (7*z^6)/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53525] -> 
  -10 + 3/a^2 + 13*a^2 - 5*a^4 - 19*z^2 + (4*z^2)/a^2 + 27*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 - 9*z^4 - z^4/a^2 + 24*a^2*z^4 - 15*a^4*z^4 + 
   3*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53526] -> -4/a^18 + 19/a^16 - 28/a^14 + 10/a^12 + 
   4/a^10 - (4*z^2)/a^18 + (37*z^2)/a^16 - (84*z^2)/a^14 + (45*z^2)/a^12 + 
   (16*z^2)/a^10 - z^4/a^18 + (22*z^4)/a^16 - (89*z^4)/a^14 + (76*z^4)/a^12 + 
   (25*z^4)/a^10 + (4*z^6)/a^16 - (39*z^6)/a^14 + (60*z^6)/a^12 + 
   (19*z^6)/a^10 - (6*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 53527] -> 
  -4/a^18 + 20/a^16 - 32/a^14 + 15/a^12 + 2/a^10 - (4*z^2)/a^18 + 
   (38*z^2)/a^16 - (92*z^2)/a^14 + (58*z^2)/a^12 + (11*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (94*z^4)/a^14 + (89*z^4)/a^12 + (21*z^4)/a^10 + 
   (4*z^6)/a^16 - (40*z^6)/a^14 + (66*z^6)/a^12 + (18*z^6)/a^10 - 
   (6*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 53528] -> -2/a^18 + 9/a^16 - 10/a^14 - 4/a^12 + 
   8/a^10 - z^2/a^18 + (13*z^2)/a^16 - (28*z^2)/a^14 - (3*z^2)/a^12 + 
   (27*z^2)/a^10 + (2*z^2)/a^8 + (4*z^4)/a^16 - (24*z^4)/a^14 + 
   (9*z^4)/a^12 + (35*z^4)/a^10 + (5*z^4)/a^8 - (6*z^6)/a^14 + 
   (11*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53529] -> 
  35 + 6/a^4 - 26/a^2 - 14*a^2 + 109*z^2 + (17*z^2)/a^4 - (79*z^2)/a^2 - 
   39*a^2*z^2 + 144*z^4 + (17*z^4)/a^4 - (95*z^4)/a^2 - 44*a^2*z^4 + 
   103*z^6 + (7*z^6)/a^4 - (57*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 53530] -> 16 + 2/a^6 - 5/a^4 - 4/a^2 - 8*a^2 + 
   40*z^2 + (5*z^2)/a^6 - (16*z^2)/a^4 - (4*z^2)/a^2 - 18*a^2*z^2 + 42*z^4 + 
   (4*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 53531] -> 
  -4/a^18 + 19/a^16 - 28/a^14 + 10/a^12 + 4/a^10 - (4*z^2)/a^18 + 
   (37*z^2)/a^16 - (84*z^2)/a^14 + (45*z^2)/a^12 + (16*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (89*z^4)/a^14 + (76*z^4)/a^12 + (25*z^4)/a^10 + 
   (4*z^6)/a^16 - (39*z^6)/a^14 + (60*z^6)/a^12 + (19*z^6)/a^10 - 
   (6*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 53532] -> -3 - 4/a^4 + 8/a^2 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 + 11*z^4 - (8*z^4)/a^6 + (31*z^4)/a^4 - (30*z^4)/a^2 + 
   13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 53533] -> -2 - 3/a^4 + 6/a^2 - 8*z^2 - 
   (2*z^2)/a^6 + (2*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53534] -> 
  -5 + 2/a^6 - 8/a^4 + 11/a^2 + a^2 - 15*z^2 + z^2/a^6 - (10*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - (2*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 + 
   6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53535] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^10 - z^4/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53536] -> -2/a^12 + 7/a^10 - 11/a^8 + 7/a^6 - 
   z^2/a^12 + (9*z^2)/a^10 - (20*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^4)/a^12 - z^4/a^10 - (13*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (6*z^6)/a^10 - z^6/a^8 + (12*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (3*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53537] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53538] -> a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + 
   z^2/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   z^4/a^10 - z^4/a^8 + (10*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53539] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 - z^2/a^8 + (6*z^2)/a^6 - (10*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   z^4/a^8 + z^4/a^6 - (10*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53540] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (11*z^2)/a^8 + z^2/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 
   (8*z^4)/a^10 + (17*z^4)/a^8 + (5*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53541] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^6 - z^2/a^4 + (10*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53542] -> 1 + 2/a^4 - 5/a^2 + 7*a^2 - 4*a^4 - 2*z^2 + 
   (7*z^2)/a^4 - (15*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + 
   (9*z^4)/a^4 - (20*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53543] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53544] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 14*z^2 - z^2/a^6 - z^2/a^4 + 
   (10*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (5*z^4)/a^6 + (8*z^4)/a^4 + 
   (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53545] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 5*z^2 + (2*z^2)/a^8 - z^2/a^6 - (11*z^2)/a^4 + 
   (16*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (9*z^4)/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53546] -> 
  a^(-10) - 6/a^8 + 10/a^6 - 7/a^4 + 3/a^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (21*z^2)/a^4 + (9*z^2)/a^2 - (2*z^4)/a^10 + (7*z^4)/a^8 + 
   (8*z^4)/a^6 - (26*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (4*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53547] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 2*z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 + z^4/a^6 - (15*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53548] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   17*z^2 - z^2/a^6 - (4*z^2)/a^4 + (17*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - 
   (5*z^4)/a^6 + (5*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (9*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53549] -> -4*a^2 + 16*a^4 - 16*a^6 + 5*a^8 - 
   16*a^2*z^2 + 62*a^4*z^2 - 66*a^6*z^2 + 22*a^8*z^2 - 17*a^2*z^4 + 
   85*a^4*z^4 - 107*a^6*z^4 + 34*a^8*z^4 - 7*a^2*z^6 + 55*a^4*z^6 - 
   89*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 17*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 53550] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - 4*z^2 + 
   7*a^2*z^2 + 16*a^4*z^2 - 30*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 16*a^2*z^4 + 
   3*a^4*z^4 - 34*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 7*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 53551] -> 
  -a^(-14) + 6/a^12 - 9/a^10 + a^(-8) + 4/a^6 - (2*z^2)/a^14 + 
   (14*z^2)/a^12 - (20*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (13*z^4)/a^12 - (20*z^4)/a^10 - (9*z^4)/a^8 + (6*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53552] -> a^(-8) - 2/a^6 + 2/a^2 - (2*z^2)/a^10 + 
   (6*z^2)/a^8 - (3*z^2)/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + 
   (11*z^4)/a^8 - z^4/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (10*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53553] -> 6*a^4 - 8*a^6 + 3*a^8 - 2*z^2 + 4*a^2*z^2 + 
   11*a^4*z^2 - 22*a^6*z^2 + 9*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 4*a^4*z^4 - 
   27*a^6*z^4 + 10*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 53554] -> -2 + 2/a^8 - 9/a^6 + 9/a^4 + 
   a^(-2) - 7*z^2 + (5*z^2)/a^8 - (28*z^2)/a^6 + (35*z^2)/a^4 + z^2/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + (49*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (16*z^6)/a^6 + (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53555] -> 2 + 2/a^8 - 9/a^6 + 11/a^4 - 4/a^2 - a^2 + 
   2*z^2 + (3*z^2)/a^8 - (17*z^2)/a^6 + (21*z^2)/a^4 - z^2/a^2 - 3*a^2*z^2 + 
   3*z^4 + z^4/a^8 - (12*z^4)/a^6 + (18*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 
   3*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   (2*z^8)/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 53556] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (15*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (13*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53557] -> -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 
   5*z^2 + (4*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (7*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53558] -> 3 + 2/a^4 - 6/a^2 + 6*a^2 - 4*a^4 + z^2 + 
   (5*z^2)/a^4 - (13*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 
   (6*z^4)/a^4 - (13*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53559] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + z^2/a^8 + (3*z^2)/a^6 - (17*z^2)/a^4 + 
   (18*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (17*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53560] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   7*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53561] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 7*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 
   6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 53562] -> 
  -1 + 4*a^2 - 2*a^4 + 15*z^2 - (4*z^2)/a^2 - 16*a^2*z^2 + 7*a^4*z^2 + 
   40*z^4 - (8*z^4)/a^2 - 55*a^2*z^4 + 20*a^4*z^4 + 36*z^6 - (5*z^6)/a^2 - 
   61*a^2*z^6 + 18*a^4*z^6 + 14*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 
   2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 53563] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 
   z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53564] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2 - z^2/a^10 + (2*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (9*z^4)/a^8 - 
   (7*z^4)/a^6 - (10*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53565] -> -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53566] -> 
  1 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53567] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 7*z^2 + (5*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53568] -> 
  2 + 2/a^4 - 5/a^2 + 5*a^2 - 3*a^4 - z^2 + (8*z^2)/a^4 - (16*z^2)/a^2 + 
   17*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (10*z^4)/a^4 - (22*z^4)/a^2 + 
   20*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53569] -> -5 - 4/a^6 + 6/a^4 + 2/a^2 + 
   2*a^2 - 17*z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 + (5*z^2)/a^2 + 7*a^2*z^2 - 
   23*z^4 - (4*z^4)/a^6 + (16*z^4)/a^4 + (2*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - 
   z^6/a^6 + (9*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53570] -> 
  -9 - 4/a^6 + 4/a^4 + 7/a^2 + 3*a^2 - 23*z^2 - (8*z^2)/a^6 + (18*z^2)/a^4 + 
   (9*z^2)/a^2 + 9*a^2*z^2 - 25*z^4 - (5*z^4)/a^6 + (22*z^4)/a^4 - z^4/a^2 + 
   10*a^2*z^4 - 16*z^6 - z^6/a^6 + (11*z^6)/a^4 - (8*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53571] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 12*z^2 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 4*z^4 - z^4/a^2 + 
   12*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 53572] -> -2 + 7*a^2 - 7*a^4 + 5*a^6 - 
   2*a^8 - z^2 + 8*a^2*z^2 - 13*a^4*z^2 + 15*a^6*z^2 - 5*a^8*z^2 + 4*z^4 - 
   2*a^2*z^4 - 13*a^4*z^4 + 18*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 
   10*a^4*z^6 + 10*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 53573] -> 
  19 + 2/a^4 - 12/a^2 - 8*a^2 + 75*z^2 + (11*z^2)/a^4 - (52*z^2)/a^2 - 
   28*a^2*z^2 + 117*z^4 + (13*z^4)/a^4 - (75*z^4)/a^2 - 38*a^2*z^4 + 94*z^6 + 
   (6*z^6)/a^4 - (50*z^6)/a^2 - 25*a^2*z^6 + 42*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 53574] -> 14 + a^(-4) - 8/a^2 - 6*a^2 + 35*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 - (10*z^2)/a^2 - 15*a^2*z^2 + 38*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + z^4/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 53575] -> 
  -3 + 2/a^8 - 9/a^6 + 8/a^4 + 3/a^2 - 7*z^2 + (3*z^2)/a^8 - (20*z^2)/a^6 + 
   (21*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (24*z^4)/a^4 + (19*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 53576] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 9*a^2*z^2 - 5*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53577] -> 
  9 - 4/a^2 - 4*a^2 + 24*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (8*z^2)/a^2 - 
   10*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 53578] -> 8 - 4/a^2 + a^2 - 7*a^4 + 3*a^6 + 22*z^2 - 
   (8*z^2)/a^2 - a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 + 25*z^4 - (5*z^4)/a^2 - 
   9*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 12*z^6 - z^6/a^2 - 12*a^2*z^6 - 
   19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 53579] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 4*a^2*z^2 + 9*a^4*z^2 - 17*a^6*z^2 + 
   7*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 23*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 53580] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 20*z^2 - 
   (2*z^2)/a^6 + (17*z^2)/a^2 + 7*a^2*z^2 - 24*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53581] -> 
  -2*a^2 + 10*a^4 - 10*a^6 + 3*a^8 - 4*z^2 + 7*a^2*z^2 + 13*a^4*z^2 - 
   23*a^6*z^2 + 9*a^8*z^2 - 4*z^4 + 16*a^2*z^4 - 25*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 53582] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 17*z^2 + 
   z^2/a^4 + (5*z^2)/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + 2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 53583] -> 
  -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 7*z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + 
   (3*z^2)/a^4 + (15*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + 
   (7*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53584] -> 
  2/a^8 - 7/a^6 + 5/a^4 + 2/a^2 - a^2 + z^2 + (3*z^2)/a^8 - (14*z^2)/a^6 + 
   (12*z^2)/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - (11*z^4)/a^6 + 
   (13*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + (2*z^8)/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 53585] -> 2 - a^(-2) + a^2 - a^4 + z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53586] -> -4 + 11*a^2 - 7*a^4 + a^6 - 3*z^2 - 
   (3*z^2)/a^2 + 23*a^2*z^2 - 16*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - (6*z^4)/a^2 + 
   22*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 13*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 53587] -> -a^(-18) + 4/a^16 - 3/a^14 - 
   7/a^12 + 8/a^10 - z^2/a^18 + (7*z^2)/a^16 - (18*z^2)/a^14 - (4*z^2)/a^12 + 
   (28*z^2)/a^10 - z^4/a^16 - (18*z^4)/a^14 + (20*z^4)/a^12 + (38*z^4)/a^10 - 
   (4*z^6)/a^16 - z^6/a^14 + (28*z^6)/a^12 + (25*z^6)/a^10 - z^8/a^16 + 
   (4*z^8)/a^14 + (13*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 53588] -> a^(-10) - 7/a^8 + 9/a^6 - 
   2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 - (2*z^2)/a^8 + (22*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + (17*z^4)/a^8 + (21*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 53589] -> 
  -4 + 2/a^8 - 8/a^6 + 5/a^4 + 6/a^2 - 12*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + 
   (21*z^2)/a^4 + (17*z^2)/a^2 - 13*z^4 + (4*z^4)/a^8 - (30*z^4)/a^6 + 
   (37*z^4)/a^4 + (21*z^4)/a^2 - 6*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (32*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (6*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 53590] -> 
  -2 + a^(-10) - 3/a^8 + 2/a^4 + 3/a^2 - 5*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 - 
   z^2/a^6 + (12*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (2*z^4)/a^6 + (18*z^4)/a^4 + (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (12*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 53591] -> -a^(-14) + 4/a^12 - 5/a^10 - 
   a^(-8) + 4/a^6 - (4*z^2)/a^14 + (15*z^2)/a^12 - (16*z^2)/a^10 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (24*z^4)/a^12 - 
   (27*z^4)/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (26*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 53592] -> -a^(-12) + 3/a^10 - 4/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^14 + (4*z^2)/a^12 + (4*z^2)/a^10 - (10*z^2)/a^8 + (3*z^2)/a^6 + 
   (5*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - z^4/a^10 - (14*z^4)/a^8 + 
   z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (5*z^6)/a^10 - (11*z^6)/a^8 - 
   (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53593] -> -a^(-18) + 5/a^16 - 8/a^14 + 2/a^12 + 
   a^(-10) + 2/a^8 + (5*z^2)/a^16 - (21*z^2)/a^14 + (12*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (15*z^4)/a^14 + (23*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (17*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 53594] -> -a^(-18) + 5/a^16 - 9/a^14 + 
   6/a^12 - 4/a^10 + 4/a^8 + (3*z^2)/a^16 - (16*z^2)/a^14 + (14*z^2)/a^12 - 
   (2*z^2)/a^10 + (12*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + 
   (19*z^4)/a^12 + (8*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (13*z^6)/a^12 + (8*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53595] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - 
   (12*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - 
   (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53596] -> 1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - z^4/a^6 + (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53597] -> 2 - a^(-2) + a^2 - a^4 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - (4*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53598] -> -2 + 5*a^2 - a^4 - a^6 + z^2 - 9*a^2*z^2 + 
   22*a^4*z^2 - 10*a^6*z^2 + 7*z^4 - 36*a^2*z^4 + 59*a^4*z^4 - 21*a^6*z^4 + 
   5*z^6 - 35*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 53599] -> -1 + 3*a^2 - a^6 - 6*z^2 + (2*z^2)/a^2 + 
   2*a^2*z^2 + 11*a^4*z^2 - 6*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 
   21*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53600] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (5*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (9*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53601] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53602] -> a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   18*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53603] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + 
   (13*z^4)/a^4 - (6*z^4)/a^2 + 8*a^2*z^4 - 14*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (9*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53604] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53605] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53606] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 11*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 
   7*a^2*z^2 - 14*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 - 4*a^2*z^4 + 5*a^4*z^4 - 
   11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + 4*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 53607] -> 1 - z^2 + z^2/a^8 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + (11*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53608] -> 2/a^10 - 5/a^8 + 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (3*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + z^2/a^4 + 
   (3*z^4)/a^12 - (10*z^4)/a^10 + z^4/a^8 + (11*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (5*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53609] -> -11 - 4/a^6 + 4/a^4 + 8/a^2 + 4*a^2 - 
   30*z^2 - (8*z^2)/a^6 + (18*z^2)/a^4 + (12*z^2)/a^2 + 12*a^2*z^2 - 34*z^4 - 
   (5*z^4)/a^6 + (22*z^4)/a^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 - z^6/a^6 + 
   (11*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53610] -> 
  -7 - 4/a^6 + 6/a^4 + 3/a^2 + 3*a^2 - 22*z^2 - (6*z^2)/a^6 + (15*z^2)/a^4 + 
   (7*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - (4*z^4)/a^6 + (16*z^4)/a^4 + 
   (3*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (9*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53611] -> 5 - 4/a^6 + 8/a^4 - 5/a^2 - 5*a^2 + 2*a^4 + 
   6*z^2 - (4*z^2)/a^6 + (14*z^2)/a^4 - (7*z^2)/a^2 - 11*a^2*z^2 + 
   5*a^4*z^2 - z^4/a^6 + (9*z^4)/a^4 - (6*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 53612] -> -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 
   2*z^2 - z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53613] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 
   14*z^2 + z^2/a^6 - (5*z^2)/a^4 + (12*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (2*z^4)/a^6 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53614] -> 
  21 + 2/a^4 - 13/a^2 - 9*a^2 + 82*z^2 + (11*z^2)/a^4 - (55*z^2)/a^2 - 
   31*a^2*z^2 + 126*z^4 + (13*z^4)/a^4 - (78*z^4)/a^2 - 41*a^2*z^4 + 99*z^6 + 
   (6*z^6)/a^4 - (51*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (16*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 53615] -> -a^(-14) + 5/a^12 - 7/a^10 + 4/a^6 - 
   (2*z^2)/a^14 + (12*z^2)/a^12 - (14*z^2)/a^10 - (5*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (14*z^4)/a^10 - 
   (15*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53616] -> -2 + 2/a^8 - 6/a^6 + 3/a^4 + 4/a^2 - 5*z^2 + 
   (5*z^2)/a^8 - (13*z^2)/a^6 + (4*z^2)/a^4 + (12*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (15*z^4)/a^6 - z^4/a^4 + (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (11*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53617] -> -4 + 2/a^8 - 7/a^6 + 3/a^4 + 7/a^2 - 
   12*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (10*z^2)/a^4 + (22*z^2)/a^2 - 
   13*z^4 + (4*z^4)/a^8 - (22*z^4)/a^6 + (16*z^4)/a^4 + (29*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (11*z^6)/a^6 + (14*z^6)/a^4 + (20*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53618] -> 8 - a^(-4) - 2/a^2 - 4*a^2 + 22*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - 10*a^2*z^2 + 27*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 53619] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 + (2*z^2)/a^12 - (3*z^2)/a^10 - 
   (13*z^2)/a^8 + (27*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (10*z^4)/a^10 - 
   (4*z^4)/a^8 + (29*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (4*z^6)/a^8 + (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53620] -> 13 - 6/a^2 - 6*a^2 + 32*z^2 + (4*z^2)/a^6 - 
   (12*z^2)/a^4 - (3*z^2)/a^2 - 15*a^2*z^2 + 35*z^4 + (4*z^4)/a^6 - 
   (20*z^4)/a^4 + (10*z^4)/a^2 - 14*a^2*z^4 + 21*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (13*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 53621] -> 
  a^(-10) - 6/a^8 + 9/a^6 - 5/a^4 + 2/a^2 - (2*z^2)/a^10 - (2*z^2)/a^8 + 
   (18*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - (23*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (3*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53622] -> -a^(-14) + 3/a^12 - 3/a^10 - 2/a^8 + 4/a^6 - 
   (4*z^2)/a^14 + (10*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (16*z^4)/a^12 - (6*z^4)/a^10 - (13*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 + 
   (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   z^10/a^10 - z^10/a^8, Knot[15, Alternating, 53623] -> 
  a^(-10) - a^(-8) - a^(-6) + 2/a^2 + z^2/a^8 - z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^10 + (7*z^4)/a^8 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53624] -> -2 + 4/a^6 - 11/a^4 + 10/a^2 - 5*z^2 + 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (23*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (21*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53625] -> -a^(-18) + 5/a^16 - 5/a^14 - 6/a^12 + 
   8/a^10 - z^2/a^18 + (10*z^2)/a^16 - (25*z^2)/a^14 - z^2/a^12 + 
   (28*z^2)/a^10 + (2*z^4)/a^16 - (27*z^4)/a^14 + (23*z^4)/a^12 + 
   (38*z^4)/a^10 - (3*z^6)/a^16 - (6*z^6)/a^14 + (29*z^6)/a^12 + 
   (25*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + (13*z^8)/a^12 + (8*z^8)/a^10 + 
   z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 53626] -> 
  -a^(-18) + 5/a^16 - 8/a^14 + 4/a^12 - 3/a^10 + 4/a^8 + (3*z^2)/a^16 - 
   (13*z^2)/a^14 + (7*z^2)/a^12 + z^2/a^10 + (12*z^2)/a^8 - (2*z^4)/a^16 - 
   (5*z^4)/a^14 + (10*z^4)/a^12 + (11*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + 
   (2*z^6)/a^14 + (8*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53627] -> 
  -6 + 2/a^6 - 7/a^4 + 10/a^2 + 2*a^2 - 16*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (18*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53628] -> 
  -a^(-18) + 5/a^16 - 7/a^14 + 2/a^10 + 2/a^8 + (5*z^2)/a^16 - 
   (19*z^2)/a^14 + (7*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - 
   (14*z^4)/a^14 + (19*z^4)/a^12 + (19*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53629] -> 
  1 + 2/a^4 - 5/a^2 + 7*a^2 - 4*a^4 - 4*z^2 + (5*z^2)/a^4 - (11*z^2)/a^2 + 
   21*a^2*z^2 - 8*a^4*z^2 - 10*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 
   23*a^2*z^4 - 5*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53630] -> -1 - 2/a^4 + 4/a^2 + 3*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 28*z^4 + (4*z^4)/a^4 - (18*z^4)/a^2 - 
   11*a^2*z^4 + 41*z^6 + (4*z^6)/a^4 - (25*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 53631] -> -2/a^4 + 3/a^2 + a^2 - a^4 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (12*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 53632] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53633] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (9*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + (15*z^4)/a^2 - 
   4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53634] -> -3 + 8*a^2 - 4*a^4 - 11*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - a^4*z^2 - 3*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 18*a^2*z^4 + 
   8*a^4*z^4 - 6*a^6*z^4 - 9*z^6 + z^6/a^2 + 12*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53635] -> -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 - 
   z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53636] -> a^(-10) - 4/a^8 + 3/a^6 + 
   a^(-4) - (2*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53637] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53638] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53639] -> 2/a^4 - 4/a^2 + 6*a^2 - 3*a^4 - 6*z^2 + 
   (8*z^2)/a^4 - (14*z^2)/a^2 + 19*a^2*z^2 - 6*a^4*z^2 - 12*z^4 + 
   (10*z^4)/a^4 - (21*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53640] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + (2*z^2)/a^4 - (5*z^2)/a^2 + 11*a^2*z^2 - 
   5*a^4*z^2 - 2*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53641] -> -4 + 12*a^2 - 9*a^4 + 2*a^6 - 4*z^2 - 
   (2*z^2)/a^2 + 24*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 + 5*z^4 - (5*z^4)/a^2 + 
   21*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 + 9*z^6 - (4*z^6)/a^2 + 12*a^2*z^6 - 
   10*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 53642] -> -6 + 3/a^6 - 9/a^4 + 11/a^2 + 
   2*a^2 - 17*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + (22*z^2)/a^2 + 5*a^2*z^2 - 
   19*z^4 - z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53643] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   5*z^2 - z^2/a^8 + (11*z^2)/a^6 - (26*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53644] -> a^(-8) - 4/a^4 + 4/a^2 - (2*z^2)/a^10 + 
   (4*z^2)/a^8 + (4*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + 
   (8*z^4)/a^8 + (8*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53645] -> -1 + 2/a^4 - 4/a^2 + 8*a^2 - 4*a^4 - 9*z^2 + 
   (7*z^2)/a^4 - (12*z^2)/a^2 + 24*a^2*z^2 - 8*a^4*z^2 - 16*z^4 + 
   (9*z^4)/a^4 - (17*z^4)/a^2 + 26*a^2*z^4 - 5*a^4*z^4 - 14*z^6 + 
   (5*z^6)/a^4 - (14*z^6)/a^2 + 12*a^2*z^6 - a^4*z^6 - 6*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53646] -> 
  -6 + 3/a^6 - 9/a^4 + 11/a^2 + 2*a^2 - 17*z^2 + (4*z^2)/a^6 - (16*z^2)/a^4 + 
   (22*z^2)/a^2 + 5*a^2*z^2 - 19*z^4 - z^4/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53647] -> -2 - a^(-8) + 6/a^6 - 12/a^4 + 10/a^2 - 
   5*z^2 - z^2/a^8 + (11*z^2)/a^6 - (26*z^2)/a^4 + (21*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (24*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (4*z^6)/a^6 - (13*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53648] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53649] -> -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53650] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 21*z^2 + (6*z^2)/a^2 + 23*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53651] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 - 
   (4*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53652] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - z^2 + 13*a^2*z^2 - 25*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 + 4*z^4 + 
   2*a^2*z^4 - 26*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 
   16*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 53653] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 21*z^2 + (6*z^2)/a^2 + 23*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53654] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 - 
   (4*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53655] -> -2 + 9*a^2 - 11*a^4 + 7*a^6 - 
   2*a^8 - z^2 + 13*a^2*z^2 - 25*a^4*z^2 + 20*a^6*z^2 - 5*a^8*z^2 + 4*z^4 + 
   2*a^2*z^4 - 26*a^4*z^4 + 22*a^6*z^4 - 4*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 
   16*a^4*z^6 + 11*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 6*a^4*z^8 + 
   2*a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 53656] -> 
  -4*a^6 + 20*a^8 - 22*a^10 + 7*a^12 - 20*a^6*z^2 + 82*a^8*z^2 - 
   73*a^10*z^2 + 18*a^12*z^2 - 33*a^6*z^4 + 124*a^8*z^4 - 91*a^10*z^4 + 
   17*a^12*z^4 - 24*a^6*z^6 + 96*a^8*z^6 - 56*a^10*z^6 + 7*a^12*z^6 - 
   8*a^6*z^8 + 42*a^8*z^8 - 17*a^10*z^8 + a^12*z^8 - a^6*z^10 + 10*a^8*z^10 - 
   2*a^10*z^10 + a^8*z^12, Knot[15, Alternating, 53657] -> 
  -a^6 + 12*a^8 - 15*a^10 + 5*a^12 - 4*a^4*z^2 + 7*a^6*z^2 + 27*a^8*z^2 - 
   32*a^10*z^2 + 8*a^12*z^2 - 8*a^4*z^4 + 16*a^6*z^4 + 27*a^8*z^4 - 
   28*a^10*z^4 + 5*a^12*z^4 - 5*a^4*z^6 + 14*a^6*z^6 + 16*a^8*z^6 - 
   12*a^10*z^6 + a^12*z^6 - a^4*z^8 + 6*a^6*z^8 + 6*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 53658] -> 
  -4 + 2/a^8 - 10/a^6 + 9/a^4 + 4/a^2 - 8*z^2 + (3*z^2)/a^8 - (21*z^2)/a^6 + 
   (23*z^2)/a^4 + (14*z^2)/a^2 - 2*a^2*z^2 - 3*z^4 + z^4/a^8 - (16*z^4)/a^6 + 
   (25*z^4)/a^4 + (20*z^4)/a^2 - 3*a^2*z^4 + 2*z^6 - (4*z^6)/a^6 + 
   (14*z^6)/a^4 + (13*z^6)/a^2 - a^2*z^6 + z^8 + (3*z^8)/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 53659] -> -a^(-4) + a^(-2) + 3*a^2 - 2*a^4 - 5*z^2 + 
   z^2/a^4 + 13*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - (6*z^4)/a^2 + 
   18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53660] -> 2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 
   2*a^4*z^2 + 8*a^6*z^2 + 13*a^8*z^2 - 19*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 + 12*a^6*z^4 + 16*a^8*z^4 - 19*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 53661] -> -4*a^2 + 8*a^4 + 4*a^6 - 11*a^8 + 4*a^10 - 
   12*a^2*z^2 + 22*a^4*z^2 + 18*a^6*z^2 - 30*a^8*z^2 + 8*a^10*z^2 - 
   13*a^2*z^4 + 27*a^4*z^4 + 26*a^6*z^4 - 30*a^8*z^4 + 5*a^10*z^4 - 
   6*a^2*z^6 + 19*a^4*z^6 + 19*a^6*z^6 - 13*a^8*z^6 + a^10*z^6 - a^2*z^8 + 
   7*a^4*z^8 + 7*a^6*z^8 - 2*a^8*z^8 + a^4*z^10 + a^6*z^10, 
 Knot[15, Alternating, 53662] -> 2*a^6 + 4*a^8 - 8*a^10 + 3*a^12 - 
   2*a^4*z^2 + 8*a^6*z^2 + 13*a^8*z^2 - 19*a^10*z^2 + 5*a^12*z^2 - 
   5*a^4*z^4 + 12*a^6*z^4 + 16*a^8*z^4 - 19*a^10*z^4 + 4*a^12*z^4 - 
   4*a^4*z^6 + 10*a^6*z^6 + 11*a^8*z^6 - 10*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 5*a^8*z^8 - 2*a^10*z^8 + a^6*z^10 + a^8*z^10, 
 Knot[15, Alternating, 53663] -> -5 + 14*a^2 - 10*a^4 + 2*a^6 - 7*z^2 - 
   (2*z^2)/a^2 + 31*a^2*z^2 - 23*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - (5*z^4)/a^2 + 
   30*a^2*z^4 - 23*a^4*z^4 + 4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 17*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 53664] -> -a^(-4) + a^(-2) + 3*a^2 - 
   2*a^4 - 5*z^2 + z^2/a^4 + 13*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53665] -> 
  -5 + 14*a^2 - 10*a^4 + 2*a^6 - 7*z^2 - (2*z^2)/a^2 + 31*a^2*z^2 - 
   23*a^4*z^2 + 5*a^6*z^2 + 2*z^4 - (5*z^4)/a^2 + 30*a^2*z^4 - 23*a^4*z^4 + 
   4*a^6*z^4 + 8*z^6 - (4*z^6)/a^2 + 17*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53666] -> -5 - 4/a^4 + 9/a^2 + a^2 - 15*z^2 - 
   (2*z^2)/a^6 - (2*z^2)/a^4 + (18*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 + (13*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 + z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53667] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 17*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (29*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (11*z^4)/a^4 + (31*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53668] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 - 
   (4*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53669] -> -5 + a^(-6) - 6/a^4 + 10/a^2 + 
   a^2 - 17*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (29*z^2)/a^2 + 3*a^2*z^2 - 
   18*z^4 - (11*z^4)/a^4 + (31*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + 
   (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53670] -> 
  3 + 2/a^4 - 4/a^2 + 4*z^2 - z^2/a^6 + (6*z^2)/a^4 - (11*z^2)/a^2 + z^4 - 
   (2*z^4)/a^6 + (8*z^4)/a^4 - (11*z^4)/a^2 + a^2*z^4 - 3*z^6 - (2*z^6)/a^6 + 
   (6*z^6)/a^4 - (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   z^8/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53671] -> 
  -3 + 8*a^2 - 4*a^4 + 8*z^2 - (4*z^2)/a^2 + 31*z^4 - (8*z^4)/a^2 - 
   30*a^2*z^4 + 11*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 53672] -> 
  -3 + 8*a^2 - 4*a^4 - 7*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 + 2*a^2*z^4 + 2*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 53673] -> -2 + 6*a^2 - 3*a^4 - z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 + z^6 - z^6/a^4 + (5*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 53674] -> 2/a^10 - 6/a^8 + 4/a^6 + a^(-4) + z^2/a^12 - 
   (2*z^2)/a^10 - (6*z^2)/a^8 + (11*z^2)/a^6 - z^2/a^4 + z^4/a^12 - 
   (7*z^4)/a^10 + (2*z^4)/a^8 + (14*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - 
   (4*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53675] -> 
  -4/a^18 + 20/a^16 - 33/a^14 + 17/a^12 + a^(-10) - (4*z^2)/a^18 + 
   (38*z^2)/a^16 - (96*z^2)/a^14 + (67*z^2)/a^12 + (7*z^2)/a^10 - z^4/a^18 + 
   (22*z^4)/a^16 - (98*z^4)/a^14 + (101*z^4)/a^12 + (17*z^4)/a^10 + 
   (4*z^6)/a^16 - (41*z^6)/a^14 + (72*z^6)/a^12 + (17*z^6)/a^10 - 
   (6*z^8)/a^14 + (24*z^8)/a^12 + (7*z^8)/a^10 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 53676] -> -2/a^18 + 9/a^16 - 11/a^14 - 2/a^12 + 
   7/a^10 - z^2/a^18 + (13*z^2)/a^16 - (30*z^2)/a^14 + z^2/a^12 + 
   (27*z^2)/a^10 + z^2/a^8 + (4*z^4)/a^16 - (25*z^4)/a^14 + (12*z^4)/a^12 + 
   (37*z^4)/a^10 + (4*z^4)/a^8 - (6*z^6)/a^14 + (12*z^6)/a^12 + 
   (21*z^6)/a^10 + (4*z^6)/a^8 + (3*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 53677] -> 33 + 6/a^4 - 25/a^2 - 13*a^2 + 100*z^2 + 
   (17*z^2)/a^4 - (75*z^2)/a^2 - 35*a^2*z^2 + 132*z^4 + (17*z^4)/a^4 - 
   (91*z^4)/a^2 - 40*a^2*z^4 + 97*z^6 + (7*z^6)/a^4 - (56*z^6)/a^2 - 
   25*a^2*z^6 + 42*z^8 + z^8/a^4 - (17*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 53678] -> 
  14 + 2/a^6 - 5/a^4 - 3/a^2 - 7*a^2 + 36*z^2 + (5*z^2)/a^6 - (15*z^2)/a^4 - 
   (4*z^2)/a^2 - 16*a^2*z^2 + 39*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + 
   (3*z^4)/a^2 - 14*a^2*z^4 + 22*z^6 + z^6/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 53679] -> -a^(-18) + 4/a^16 - 3/a^14 - 5/a^12 + 
   4/a^10 + 2/a^8 + (4*z^2)/a^16 - (9*z^2)/a^14 - (8*z^2)/a^12 + 
   (14*z^2)/a^10 + (9*z^2)/a^8 - (6*z^4)/a^14 + (17*z^4)/a^10 + 
   (12*z^4)/a^8 + z^4/a^6 + (3*z^6)/a^12 + (7*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 53680] -> 10 + 3/a^4 - 11/a^2 + 3*a^2 - 
   4*a^4 + 23*z^2 + (7*z^2)/a^4 - (27*z^2)/a^2 + 12*a^2*z^2 - 9*a^4*z^2 + 
   24*z^4 + (5*z^4)/a^4 - (26*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 15*z^6 + 
   z^6/a^4 - (12*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 6*z^8 - (2*z^8)/a^2 + 
   6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 53681] -> 
  7 + a^(-6) - 2/a^4 - 3/a^2 - 2*a^4 + 14*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - 
   (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 13*z^4 + z^4/a^6 - (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53682] -> -1 + 4*a^2 - 2*a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   10*a^2*z^4 + 4*a^4*z^4 + z^6 - z^6/a^4 + (5*z^6)/a^2 - 9*a^2*z^6 + 
   3*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 53683] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*a^2*z^2 - 5*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 7*a^2*z^4 + 
   5*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 53684] -> 2/a^6 - 5/a^4 + 4/a^2 - z^2 + z^2/a^8 - 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 + z^6/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53685] -> 
  a^(-4) - a^(-2) + a^2 - 5*z^2 + z^2/a^4 - z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   7*z^4 + z^4/a^4 - z^4/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   (3*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53686] -> 
  a^(-6) - 3/a^4 + 3/a^2 - z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (2*z^2)/a^2 - 2*z^4 + (3*z^4)/a^8 - (9*z^4)/a^6 + (6*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 + (2*z^6)/a^4 + 
   (5*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53687] -> 
  1 - 3*z^2 - z^2/a^4 + (3*z^2)/a^2 + a^2*z^2 - 7*z^4 - z^4/a^6 + 
   (6*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53688] -> 
  -a^(-8) + 2/a^4 - z^2/a^10 + (3*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 - (2*z^4)/a^10 + (11*z^4)/a^8 - (12*z^4)/a^6 + (3*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (16*z^6)/a^6 - (3*z^6)/a^4 + (3*z^6)/a^2 + 
   (3*z^8)/a^8 - (9*z^8)/a^6 - (3*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 53689] -> 1 + z^2 - z^2/a^2 + a^2*z^2 - 
   a^4*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53690] -> 
  -3/a^4 + 5/a^2 - a^2 + 2*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (18*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (22*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 53691] -> -1 - a^(-6) + 3/a^2 - z^2 - z^2/a^8 + 
   (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 53692] -> -a^(-8) + 2/a^4 + (2*z^2)/a^12 - 
   (10*z^2)/a^10 + (13*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - 
   (19*z^4)/a^10 + (29*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^6/a^12 - 
   (13*z^6)/a^10 + (25*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53693] -> -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) + 
   z^2/a^12 - (4*z^2)/a^10 + (4*z^2)/a^8 + (2*z^2)/a^6 - z^2/a^4 + z^2/a^2 + 
   z^4/a^12 - (6*z^4)/a^10 + (4*z^4)/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - 
   z^4/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (8*z^6)/a^6 - z^6/a^2 + 
   (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53694] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) - 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - z^4/a^6 + z^4/a^4 + z^4/a^2 + 2*a^2*z^4 - 5*z^6 - 
   (2*z^6)/a^6 + (4*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53695] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + z^2 + z^2/a^8 - 
   (5*z^2)/a^6 + (10*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - 
   (11*z^4)/a^6 + (15*z^4)/a^4 - (3*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (16*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (9*z^8)/a^4 + (3*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53696] -> -1 + 2/a^8 - 5/a^6 + 2/a^4 + 3/a^2 - 4*z^2 + 
   (5*z^2)/a^8 - (12*z^2)/a^6 + (2*z^2)/a^4 + (10*z^2)/a^2 - 6*z^4 + 
   (4*z^4)/a^8 - (15*z^4)/a^6 + (2*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53697] -> 3 - a^(-2) - 2*a^4 + a^6 + 4*z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 53698] -> 2 - a^(-2) + a^2 - a^4 - z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53699] -> 13 - 4/a^2 - 12*a^2 + 4*a^4 + 
   36*z^2 - (8*z^2)/a^2 - 44*a^2*z^2 + 16*a^4*z^2 + 51*z^4 - (9*z^4)/a^2 - 
   75*a^2*z^4 + 25*a^4*z^4 + 38*z^6 - (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 53700] -> 
  -6 - a^(-8) + 4/a^6 - 8/a^4 + 10/a^2 + 2*a^2 - 21*z^2 - z^2/a^8 + 
   (7*z^2)/a^6 - (18*z^2)/a^4 + (27*z^2)/a^2 + 6*a^2*z^2 - 28*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + (30*z^4)/a^2 + 8*a^2*z^4 - 19*z^6 - 
   (6*z^6)/a^4 + (16*z^6)/a^2 + 4*a^2*z^6 - 6*z^8 + (4*z^8)/a^2 + a^2*z^8 - 
   z^10, Knot[15, Alternating, 53701] -> 2*a^2 - a^4 + 18*z^2 - (4*z^2)/a^2 - 
   23*a^2*z^2 + 10*a^4*z^2 + 43*z^4 - (8*z^4)/a^2 - 64*a^2*z^4 + 23*a^4*z^4 + 
   37*z^6 - (5*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 
   34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 53702] -> -4 + a^(-6) - 5/a^4 + 8/a^2 + a^2 - 10*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (7*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53703] -> 
  -3*a^2 + 13*a^4 - 13*a^6 + 4*a^8 - 2*z^2 + 22*a^4*z^2 - 27*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 10*a^4*z^4 - 28*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 53704] -> -1 + 2/a^8 - 9/a^6 + 10/a^4 - a^(-2) - 
   5*z^2 + (4*z^2)/a^8 - (22*z^2)/a^6 + (28*z^2)/a^4 - 7*z^4 + (3*z^4)/a^8 - 
   (24*z^4)/a^6 + (36*z^4)/a^4 + (5*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (13*z^6)/a^6 + (27*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53705] -> -2 + a^(-2) + 3*a^2 - a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 + 5*a^4*z^2 - 10*z^4 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 17*a^2*z^4 + 9*a^4*z^4 - 10*z^6 - z^6/a^4 + (9*z^6)/a^2 - 
   15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 53706] -> 
  2*a^2 - a^4 - 5*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^4 + 
   11*a^2*z^4 - 3*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53707] -> 8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 16*z^2 + 
   z^2/a^6 + z^2/a^4 - (13*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 15*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53708] -> -3 - 4/a^6 + 8/a^4 - 2/a^2 + 2*a^2 - 
   12*z^2 - (6*z^2)/a^6 + (20*z^2)/a^4 - (7*z^2)/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (4*z^4)/a^6 + (20*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (10*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53709] -> 
  -2 + 5*a^2 - a^4 - a^6 - 8*z^2 + (2*z^2)/a^2 + 8*a^2*z^2 + 7*a^4*z^2 - 
   5*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 15*a^4*z^4 - 7*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53710] -> 
  -2 + 6*a^2 - 3*a^4 - 5*z^2 + z^2/a^2 + 7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 13*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 3*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53711] -> 
  -2 + 2/a^8 - 11/a^6 + 13/a^4 - a^(-2) - 7*z^2 + (5*z^2)/a^8 - 
   (29*z^2)/a^6 + (39*z^2)/a^4 - 9*z^4 + (4*z^4)/a^8 - (32*z^4)/a^6 + 
   (50*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 53712] -> 
  -1 + a^(-10) - 4/a^8 + a^(-6) + 4/a^4 - 3*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (5*z^2)/a^6 + (11*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (7*z^4)/a^6 + (15*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 53713] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 
   4*z^2 + z^2/a^8 - (7*z^2)/a^6 + (9*z^2)/a^4 + (5*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (14*z^4)/a^6 + (19*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (20*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (10*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53714] -> -3 - 2/a^4 + 4/a^2 + 4*a^2 - 2*a^4 + 5*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 24*z^4 + (3*z^4)/a^4 - 
   (19*z^4)/a^2 + 10*a^2*z^4 - 8*a^4*z^4 + 26*z^6 + z^6/a^4 - (14*z^6)/a^2 + 
   9*a^2*z^6 - 5*a^4*z^6 + 12*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 53715] -> 
  2 - a^(-6) + 2/a^4 - 2/a^2 + a^2 - a^4 + 8*z^2 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 13*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   2*a^2*z^4 - 3*a^4*z^4 + 10*z^6 - (3*z^6)/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 53716] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 - 
   (6*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (19*z^4)/a^6 - 
   (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - 
   (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 53717] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - 
   (2*z^2)/a^4 - z^2/a^2 + 2*z^4 - z^4/a^10 + (6*z^4)/a^8 - (2*z^4)/a^6 - 
   (10*z^4)/a^4 + z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53718] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 3*z^2 - z^2/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (13*z^4)/a^4 - (17*z^4)/a^2 + 
   5*a^2*z^4 - 6*z^6 - z^6/a^6 + (11*z^6)/a^4 - (19*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (10*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 53719] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (18*z^2)/a^6 + (26*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (23*z^4)/a^4 + (7*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53720] -> -a^(-18) + 5/a^16 - 7/a^14 - 2/a^12 + 
   6/a^10 + (5*z^2)/a^16 - (19*z^2)/a^14 + (2*z^2)/a^12 + (23*z^2)/a^10 + 
   (2*z^2)/a^8 - z^4/a^16 - (14*z^4)/a^14 + (15*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (15*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 53721] -> -a^(-12) + 4/a^10 - 9/a^8 + 11/a^6 - 7/a^4 + 
   3/a^2 + 2*z^2 + (5*z^2)/a^10 - (16*z^2)/a^8 + (28*z^2)/a^6 - 
   (21*z^2)/a^4 + (5*z^2)/a^2 + 2*z^4 - (10*z^4)/a^8 + (24*z^4)/a^6 - 
   (24*z^4)/a^4 + z^6 + (9*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 53722] -> 19 + 2/a^4 - 12/a^2 - 8*a^2 + 
   59*z^2 + (7*z^2)/a^4 - (38*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - 
   (54*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 53723] -> 
  -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (15*z^2)/a^10 + (10*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (13*z^4)/a^10 - (10*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53724] -> 
  -2 + 3*a^2 + 3*a^4 - 3*a^6 + z^2 - 14*a^2*z^2 + 34*a^4*z^2 - 15*a^6*z^2 + 
   7*z^4 - 40*a^2*z^4 + 72*a^4*z^4 - 25*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 
   68*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 53725] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - z^2/a^10 + (11*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (8*z^4)/a^8 - (20*z^4)/a^4 + (5*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (7*z^6)/a^6 - (14*z^6)/a^4 - (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53726] -> -3 + 8*a^2 - 4*a^4 - 7*z^2 + z^2/a^2 + 
   11*a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 6*a^2*z^4 + 
   15*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53727] -> -3 + 7*a^2 - 2*a^4 - a^6 - 11*z^2 + 
   (2*z^2)/a^2 + 14*a^2*z^2 + 6*a^4*z^2 - 6*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 
   15*a^2*z^4 + 17*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 11*a^2*z^6 + 
   15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53728] -> 
  -4 + 2/a^6 - 7/a^4 + 9/a^2 + a^2 - 9*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (12*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53729] -> 3*a^2 - 3*a^4 + a^6 - 3*z^2 + z^2/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 6*a^2*z^4 - 10*a^4*z^4 + 
   3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53730] -> -5 + 2/a^8 - 7/a^6 + 2/a^4 + 9/a^2 - 
   14*z^2 + (4*z^2)/a^8 - (18*z^2)/a^6 + (9*z^2)/a^4 + (26*z^2)/a^2 - 
   14*z^4 + (3*z^4)/a^8 - (20*z^4)/a^6 + (17*z^4)/a^4 + (32*z^4)/a^2 - 
   6*z^6 + z^6/a^8 - (10*z^6)/a^6 + (15*z^6)/a^4 + (21*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (7*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53731] -> -4 + 2/a^2 + 4*a^2 - a^4 - 14*z^2 + 
   z^2/a^4 + (3*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 15*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53732] -> -2*a^6 + 14*a^8 - 16*a^10 + 
   5*a^12 - 2*a^4*z^2 - 4*a^6*z^2 + 44*a^8*z^2 - 39*a^10*z^2 + 8*a^12*z^2 - 
   5*a^4*z^4 - a^6*z^4 + 55*a^8*z^4 - 37*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 
   4*a^6*z^6 + 36*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 
   13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 53733] -> -2*a^4 + 8*a^6 - 3*a^8 - 4*a^10 + 2*a^12 - 
   a^2*z^2 - 4*a^4*z^2 + 19*a^6*z^2 + a^8*z^2 - 12*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 2*a^4*z^4 + 19*a^6*z^4 + 7*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 53734] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - z^2/a^6 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   3*a^2*z^2 - 14*z^4 - (3*z^4)/a^6 + (2*z^4)/a^4 + (15*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53735] -> 3 - 4/a^6 + 10/a^4 - 8/a^2 + 15*z^2 - 
   (12*z^2)/a^6 + (43*z^2)/a^4 - (44*z^2)/a^2 + 25*z^4 - (13*z^4)/a^6 + 
   (63*z^4)/a^4 - (78*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 53736] -> 
  4 - 4/a^6 + 11/a^4 - 10/a^2 + z^2 - (6*z^2)/a^6 + (23*z^2)/a^4 - 
   (20*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (4*z^4)/a^6 + (21*z^4)/a^4 - 
   (19*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (12*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53737] -> 
  4*a^4 - 4*a^6 + a^8 - 2*z^2 + 4*a^2*z^2 + 6*a^4*z^2 - 10*a^6*z^2 + 
   4*a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 14*a^6*z^4 + 6*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 53738] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 - z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 
   9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 53739] -> -4 + 11*a^2 - 7*a^4 + a^6 - 10*z^2 + 
   z^2/a^2 + 22*a^2*z^2 - 9*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53740] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 16*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 15*z^4 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 + 4*a^2*z^4 + 2*a^4*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   5*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 53741] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 
   7*z^2 + (3*z^2)/a^8 - (21*z^2)/a^6 + (28*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 + 
   (2*z^4)/a^8 - (18*z^4)/a^6 + (29*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53742] -> -2*a^2 + 7*a^4 - 3*a^6 - 2*a^8 + a^10 - 
   z^2 - 2*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 - 
   6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 53743] -> 
  8*a^8 - 10*a^10 + 3*a^12 - 2*a^4*z^2 + 3*a^6*z^2 + 23*a^8*z^2 - 
   20*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 3*a^4*z^4 + 8*a^6*z^4 + 24*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 + 8*a^6*z^6 + 12*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 53744] -> 
  7 - 2/a^4 - 4*a^2 + 19*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - 
   10*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 53745] -> -4 + 11*a^2 - 7*a^4 + a^6 - 10*z^2 + 
   z^2/a^2 + 22*a^2*z^2 - 9*a^4*z^2 - 11*z^4 + (2*z^4)/a^2 + 19*a^2*z^4 - 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53746] -> 2/a^8 - 14/a^6 + 21/a^4 - 8/a^2 + 
   (7*z^2)/a^8 - (49*z^2)/a^6 + (83*z^2)/a^4 - (32*z^2)/a^2 + (9*z^4)/a^8 - 
   (67*z^4)/a^6 + (126*z^4)/a^4 - (42*z^4)/a^2 + (5*z^6)/a^8 - (45*z^6)/a^6 + 
   (99*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 53747] -> -1 + 2/a^8 - 12/a^6 + 16/a^4 - 4/a^2 - 
   8*z^2 + (4*z^2)/a^8 - (26*z^2)/a^6 + (36*z^2)/a^4 + (2*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (23*z^4)/a^6 + (35*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (19*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53748] -> -2*a^2 + 7*a^4 - 3*a^6 - 2*a^8 + a^10 - 
   z^2 - 2*a^2*z^2 + 13*a^4*z^2 - 4*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 
   4*a^2*z^4 + 7*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 - z^6 + 6*a^2*z^6 - a^4*z^6 - 
   6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 53749] -> 
  -2 + 2/a^8 - 10/a^6 + 11/a^4 - 7*z^2 + (3*z^2)/a^8 - (21*z^2)/a^6 + 
   (28*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (18*z^4)/a^6 + 
   (29*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (16*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53750] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - 4*z^2 + 15*a^2*z^2 - 15*a^4*z^2 + 
   7*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^2 + 12*a^2*z^4 - 9*a^4*z^4 + 
   2*a^6*z^4 - 5*z^6 + z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53751] -> -3 - 4/a^6 + 6/a^4 + a^(-2) + a^2 - 10*z^2 - 
   (6*z^2)/a^6 + (15*z^2)/a^4 + (2*z^2)/a^2 + 4*a^2*z^2 - 14*z^4 - 
   (4*z^4)/a^6 + (16*z^4)/a^4 - z^4/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53752] -> 
  12 + 2/a^4 - 9/a^2 - 3*a^2 - a^4 + 41*z^2 + (7*z^2)/a^4 - (33*z^2)/a^2 - 
   6*a^2*z^2 - 5*a^4*z^2 + 56*z^4 + (5*z^4)/a^4 - (38*z^4)/a^2 - 8*a^4*z^4 + 
   39*z^6 + z^6/a^4 - (18*z^6)/a^2 + 7*a^2*z^6 - 5*a^4*z^6 + 14*z^8 - 
   (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 2*z^10 + a^2*z^10, 
 Knot[15, Alternating, 53753] -> 10 + 2/a^4 - 8/a^2 - 2*a^2 - a^4 + 21*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (10*z^2)/a^2 - 3*a^2*z^2 - 3*a^4*z^2 + 
   21*z^4 + z^4/a^6 - (8*z^4)/a^4 - 3*a^4*z^4 + 12*z^6 - (3*z^6)/a^4 + 
   (5*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53754] -> -a^(-18) + 6/a^16 - 11/a^14 + 3/a^12 + 
   4/a^10 + (6*z^2)/a^16 - (24*z^2)/a^14 + (11*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 - (13*z^4)/a^14 + (16*z^4)/a^12 + (23*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + (8*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 53755] -> -a^(-14) + 5/a^12 - 8/a^10 + 
   2/a^8 + 3/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - (17*z^2)/a^10 + 
   (4*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (16*z^4)/a^10 - (2*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (7*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 53756] -> 8 + 2/a^4 - 7/a^2 - a^2 - a^4 + 
   16*z^2 + z^2/a^6 + z^2/a^4 - (13*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 15*z^4 + 
   z^4/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 2*a^4*z^4 + 9*z^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53757] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + 
   z^2 - z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - (10*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 - z^6/a^2 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53758] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 6*z^2 - z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53759] -> -a^(-14) + 5/a^12 - 8/a^10 + 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (11*z^2)/a^12 - (17*z^2)/a^10 + (4*z^2)/a^8 + (8*z^2)/a^6 + 
   z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - (16*z^4)/a^10 - (2*z^4)/a^8 + 
   (6*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - (7*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53760] -> a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - 
   (5*z^2)/a^10 - z^2/a^8 + (12*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (9*z^4)/a^8 + (13*z^4)/a^6 - z^4/a^4 - (2*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (9*z^6)/a^6 + z^6/a^4 - z^6/a^2 + 
   (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53761] -> 
  -1 - 2/a^4 + 4/a^2 - 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (7*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 + z^4/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53762] -> -2/a^6 + 3/a^4 - z^2 + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (8*z^4)/a^6 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 53763] -> -a^(-6) + a^(-4) + a^(-2) - 
   2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (5*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (8*z^4)/a^6 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (7*z^6)/a^6 - (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53764] -> 1 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 
   a^4*z^2 - z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53765] -> -1 + a^(-2) + a^2 - z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + z^4 + z^4/a^6 - (4*z^4)/a^2 + 
   3*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 53766] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53767] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + z^2/a^8 + (2*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (10*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 53768] -> -4 - a^(-6) - a^(-4) + 6/a^2 + 
   a^2 - 13*z^2 - z^2/a^6 - z^2/a^4 + (14*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (10*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53769] -> 
  -9 - 2/a^4 + 7/a^2 + 7*a^2 - 2*a^4 - 19*z^2 + z^2/a^4 + (5*z^2)/a^2 + 
   21*a^2*z^2 - 7*a^4*z^2 - 11*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 25*a^2*z^4 - 
   9*a^4*z^4 + 2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53770] -> a^(-10) - 7/a^8 + 11/a^6 - 6/a^4 + 2/a^2 - 
   (2*z^2)/a^10 - (4*z^2)/a^8 + (23*z^2)/a^6 - (19*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (8*z^4)/a^8 + (13*z^4)/a^6 - (24*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (2*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53771] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   z^2/a^8 + (2*z^2)/a^6 - (12*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + 
   (2*z^4)/a^8 - (4*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53772] -> 
  -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 13*z^2 - z^2/a^6 - z^2/a^4 + 
   (14*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (10*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53773] -> -a^2 + 9*a^4 - 11*a^6 + 4*a^8 - 7*a^2*z^2 + 
   40*a^4*z^2 - 54*a^6*z^2 + 21*a^8*z^2 - 11*a^2*z^4 + 64*a^4*z^4 - 
   100*a^6*z^4 + 34*a^8*z^4 - 6*a^2*z^6 + 47*a^4*z^6 - 88*a^6*z^6 + 
   24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 
   10*a^6*z^10 + a^8*z^10 - a^6*z^12, Knot[15, Alternating, 53774] -> 
  a^2 + 4*a^4 - 7*a^6 + 3*a^8 - 2*z^2 + 7*a^2*z^2 + 7*a^4*z^2 - 25*a^6*z^2 + 
   12*a^8*z^2 - 3*z^4 + 13*a^2*z^4 - 2*a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - 
   z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 
   5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 53775] -> 3*a^2 - a^4 - 3*a^6 + 2*a^8 - 2*z^2 + 
   11*a^2*z^2 - 7*a^4*z^2 - 12*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 15*a^2*z^4 - 
   13*a^4*z^4 - 21*a^6*z^4 + 10*a^8*z^4 - z^6 + 9*a^2*z^6 - 11*a^4*z^6 - 
   16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 53776] -> 
  2 - 2*a^2 + 3*a^4 - 4*a^6 + 2*a^8 + 5*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - 12*a^6*z^2 + 6*a^8*z^2 + 5*z^4 - z^4/a^2 - 6*a^2*z^4 - 
   12*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 3*a^2*z^6 - 2*a^4*z^6 - 5*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 53777] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - 
   a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 53778] -> 
  3*a^2 - a^4 - 3*a^6 + 2*a^8 + z^2 - z^2/a^2 + 8*a^2*z^2 - 8*a^4*z^2 - 
   8*a^6*z^2 + 6*a^8*z^2 + 3*z^4 - z^4/a^2 + 5*a^2*z^4 - 12*a^4*z^4 - 
   9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 53779] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - 
   a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 53780] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 5*z^2 + 15*a^2*z^2 - 16*a^4*z^2 + 7*a^6*z^2 - 
   a^8*z^2 - 6*z^4 + z^4/a^4 - z^4/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 
   4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 10*a^2*z^6 - 6*a^4*z^6 + z^8 + 
   3*a^2*z^8, Knot[15, Alternating, 53781] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 
   47*z^2 + (7*z^2)/a^4 - (33*z^2)/a^2 - 17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - 
   (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 53782] -> 
  -3 - 4/a^6 + 6/a^4 + a^(-2) + a^2 - 8*z^2 - (7*z^2)/a^6 + (17*z^2)/a^4 + 
   3*a^2*z^2 - 10*z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 + z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53783] -> 13 + 2/a^4 - 10/a^2 - 2*a^2 - 2*a^4 + 
   37*z^2 + (5*z^2)/a^4 - (28*z^2)/a^2 - 2*a^2*z^2 - 6*a^4*z^2 + 48*z^4 + 
   (4*z^4)/a^4 - (31*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 34*z^6 + z^6/a^4 - 
   (16*z^6)/a^2 + 8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + 2*z^10 + a^2*z^10, Knot[15, Alternating, 53784] -> 
  4 + a^(-6) - 4/a^4 + 2/a^2 - a^2 - a^4 + 11*z^2 + (2*z^2)/a^6 - 
   (10*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 - 3*a^4*z^2 + 16*z^4 + z^4/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + 
   (6*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53785] -> -a^(-18) + 6/a^16 - 10/a^14 + 2/a^12 + 
   3/a^10 + a^(-8) + (6*z^2)/a^16 - (22*z^2)/a^14 + (8*z^2)/a^12 + 
   (14*z^2)/a^10 + (6*z^2)/a^8 - (13*z^4)/a^14 + (14*z^4)/a^12 + 
   (21*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + (8*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 53786] -> 
  2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + (9*z^2)/a^8 - (38*z^2)/a^6 + 
   (50*z^2)/a^4 - (17*z^2)/a^2 + (12*z^4)/a^8 - (59*z^4)/a^6 + (82*z^4)/a^4 - 
   (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + (70*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 53787] -> 
  1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 - 3*z^2 + (5*z^2)/a^8 - (20*z^2)/a^6 + 
   (23*z^2)/a^4 - (2*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (20*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53788] -> 
  -a^(-14) + 5/a^12 - 9/a^10 + 4/a^8 + 2/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (17*z^2)/a^10 + (5*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (14*z^4)/a^10 - (6*z^4)/a^8 + (8*z^4)/a^6 + (2*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (11*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53789] -> 
  -a^(-10) + 4/a^8 - 6/a^6 + 3/a^4 + a^(-2) - (3*z^2)/a^10 + (12*z^2)/a^8 - 
   (13*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^10 + (15*z^4)/a^8 - 
   (11*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 - 
   z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 53790] -> 
  2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 2*z^2 + (5*z^2)/a^8 - (24*z^2)/a^6 + 
   (32*z^2)/a^4 - (7*z^2)/a^2 - 5*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (41*z^4)/a^4 - (3*z^4)/a^2 - 4*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (30*z^6)/a^4 + (4*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 53791] -> 
  1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^4 - 2/a^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (8*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - 2*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (8*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (6*z^6)/a^6 + (10*z^6)/a^4 + z^6/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 53792] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 5*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 
   7*z^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 - 
   z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (2*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53793] -> 
  -a^(-14) + 6/a^12 - 10/a^10 + 3/a^8 + 3/a^6 - (2*z^2)/a^14 + 
   (12*z^2)/a^12 - (19*z^2)/a^10 + (3*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (15*z^4)/a^10 - (7*z^4)/a^8 + (8*z^4)/a^6 + 
   (2*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (11*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 53794] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 3*z^2 + 
   (2*z^2)/a^8 - (12*z^2)/a^6 + (17*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (15*z^4)/a^4 + (5*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53795] -> 8 + a^(-4) - 6/a^2 - 2*a^4 + 15*z^2 + 
   (2*z^2)/a^4 - (12*z^2)/a^2 + 5*a^2*z^2 - 5*a^4*z^2 + 10*z^4 + 
   (3*z^4)/a^4 - (10*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53796] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + z^2/a^12 - (4*z^2)/a^10 - (5*z^2)/a^8 + 
   (18*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (8*z^4)/a^10 + 
   (4*z^4)/a^8 + (20*z^4)/a^6 - (3*z^4)/a^4 - (2*z^4)/a^2 - (4*z^6)/a^10 + 
   (7*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 53797] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 
   6/a^2 - 3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 
   3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53798] -> 1 - 2*z^2 + (3*z^2)/a^4 - (4*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 6*z^4 + (6*z^4)/a^4 - (11*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 7*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53799] -> -a^(-4) + 2/a^2 - 2*z^2 + (3*z^2)/a^8 - 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (10*z^4)/a^6 - (7*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53800] -> 1 + 3*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   z^2/a^4 - z^2/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - 
   (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53801] -> 
  -1 + a^(-2) + a^2 - z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 
   a^4*z^2 + (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 
   z^6 + z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 53802] -> 
  -a^(-8) + a^(-6) + a^(-2) - (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (7*z^4)/a^8 + (5*z^4)/a^6 - 
   (8*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53803] -> 
  -a^(-8) + 2/a^4 - (2*z^2)/a^10 + z^2/a^8 + (6*z^2)/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^10 + (7*z^4)/a^8 + (7*z^4)/a^6 - (12*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53804] -> 2 - a^(-4) + a^(-2) - a^2 - 4*z^2 - 
   z^2/a^6 - (3*z^2)/a^4 + (10*z^2)/a^2 - 11*z^4 - (3*z^4)/a^6 + 
   (4*z^4)/a^4 + (12*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - z^6/a^6 + (7*z^6)/a^4 + 
   (2*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53805] -> 
  -a^(-4) + 2/a^2 - 4*z^2 - (3*z^2)/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 
   a^2*z^2 - 4*z^4 - z^4/a^8 + (7*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 53806] -> 
  -a^(-4) + 2/a^2 + z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53807] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 - z^2/a^8 + (7*z^2)/a^6 - 
   (3*z^2)/a^4 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + (7*z^4)/a^6 - (6*z^4)/a^4 - 
   (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - (5*z^6)/a^4 - (2*z^6)/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53808] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 5*a^4*z^2 - 
   z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 20*a^2*z^4 + 9*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53809] -> 
  1 + 4*z^2 - z^2/a^4 + (2*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 + 3*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53810] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - 
   (9*z^2)/a^2 + 2*z^4 - (3*z^4)/a^6 + (18*z^4)/a^4 - (23*z^4)/a^2 + 
   4*a^2*z^4 - 4*z^6 - z^6/a^6 + (13*z^6)/a^4 - (23*z^6)/a^2 + 4*a^2*z^6 - 
   4*z^8 + (3*z^8)/a^4 - (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 53811] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2/a^8 + 
   (3*z^2)/a^6 - (2*z^2)/a^2 + a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - 
   (8*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 53812] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 2*z^2 + 
   (4*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53813] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53814] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 3*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 - z^8/a^6 - z^8/a^4 - 
   z^8/a^2, Knot[15, Alternating, 53815] -> 1 + 12*z^2 - (4*z^2)/a^6 + 
   (20*z^2)/a^4 - (28*z^2)/a^2 + 24*z^4 - (8*z^4)/a^6 + (44*z^4)/a^4 - 
   (68*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (67*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 53816] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 15*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 + 
   z^2/a^2 + 8*a^2*z^2 - 22*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (8*z^4)/a^2 + 
   10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53817] -> -1 - a^(-6) + 3/a^2 - 6*z^2 - (3*z^2)/a^6 + 
   (7*z^2)/a^4 + (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + 
   (12*z^4)/a^4 - (3*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53818] -> 
  -a^(-10) + 2/a^6 - a^(-4) + a^(-2) - (3*z^2)/a^10 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53819] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - 13*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53820] -> 
  -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (4*z^2)/a^2 - 
   3*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - z^4/a^4 + (7*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53821] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53822] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - (10*z^4)/a^4 - z^4/a^2 - 
   (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 53823] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 
   5*z^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (13*z^2)/a^2 - 7*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + z^4/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53824] -> a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 + 
   z^2/a^10 - (8*z^2)/a^8 + (17*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   (2*z^4)/a^10 - z^4/a^8 + (17*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53825] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + (23*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53826] -> -2 - 4/a^6 + 5/a^4 + 2/a^2 - 8*z^2 + 
   (3*z^2)/a^8 - (18*z^2)/a^6 + (23*z^2)/a^4 + (7*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (25*z^4)/a^6 + (37*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (14*z^6)/a^6 + (30*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53827] -> -1 - a^(-8) + a^(-4) + 2/a^2 - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (2*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (6*z^4)/a^6 - z^4/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 53828] -> -a^(-12) + a^(-8) + a^(-4) - 
   z^2/a^14 + z^2/a^12 + (3*z^2)/a^10 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 + z^4/a^10 - (6*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 53829] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + 2*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (8*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53830] -> 
  -a^(-8) + a^(-6) + a^(-2) - (3*z^2)/a^10 + (11*z^2)/a^8 - (8*z^2)/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (21*z^4)/a^8 - (25*z^4)/a^6 - 
   (6*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (25*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 53831] -> 
  2 + a^(-6) - 3/a^4 + 2/a^2 - a^2 + 3*z^2 + z^2/a^8 - (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 53832] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 - 3*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (8*z^2)/a^4 + (12*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (9*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53833] -> 
  -5 - a^(-6) + 5/a^2 + 2*a^2 - 16*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 + 
   (3*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (3*z^4)/a^6 + (15*z^4)/a^4 - 
   (7*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53834] -> -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 9*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53835] -> -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 13*z^2 + 
   z^2/a^6 - (10*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (19*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53836] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - 7*z^2 - (3*z^2)/a^6 + 
   z^2/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - z^4/a^8 + (5*z^4)/a^4 + 
   (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 53837] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   4*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + (14*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   z^4/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (4*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53838] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + z^2/a^4 + z^2/a^2 + 17*a^2*z^2 - 
   6*a^4*z^2 - 8*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 + 22*a^2*z^4 - 8*a^4*z^4 + 
   2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53839] -> -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 5*z^4 + z^4/a^6 - 
   z^4/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53840] -> 3*a^2 - 5*a^4 + 6*a^6 - 4*a^8 + a^10 - 
   2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 
   z^4 - z^4/a^2 + 11*a^2*z^4 - 19*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   4*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 53841] -> -6 + 3/a^2 + 5*a^2 - a^4 - 19*z^2 + 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + 
   (6*z^4)/a^4 - (7*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53842] -> 
  -2 + 2/a^4 - 2/a^2 + 4*a^2 - a^4 - 4*z^2 + z^2/a^6 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 3*z^4 + (2*z^4)/a^6 - 
   (12*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 53843] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 2*z^2 + 
   5*a^2*z^2 - 5*a^4*z^2 + 11*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 7*a^2*z^4 - 6*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 53844] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   9*z^2 - z^2/a^4 + (5*z^2)/a^2 + 11*a^2*z^2 - 13*a^4*z^2 + 5*a^6*z^2 - 
   15*z^4 - z^4/a^4 + (7*z^4)/a^2 + 15*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 53845] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 7*a^2*z^2 + 4*a^4*z^2 - 18*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - a^4*z^4 - 26*a^6*z^4 + 10*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 5*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 53846] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 + 2*z^2 - z^2/a^2 + 5*a^2*z^2 - 7*a^4*z^2 - 
   4*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 3*a^2*z^4 - 10*a^4*z^4 - 
   6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 53847] -> 
  -6 - a^(-6) - a^(-4) + 7/a^2 + 2*a^2 - 18*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 7*a^2*z^2 - 23*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 + 
   (4*z^4)/a^2 + 9*a^2*z^4 - 16*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53848] -> 1 - a^(-2) + 6*a^2 - 8*a^4 + 3*a^6 + 
   11*z^2 - (4*z^2)/a^2 + 4*a^2*z^2 - 21*a^4*z^2 + 10*a^6*z^2 + 19*z^4 - 
   (4*z^4)/a^2 - 8*a^2*z^4 - 27*a^4*z^4 + 12*a^6*z^4 + 11*z^6 - z^6/a^2 - 
   12*a^2*z^6 - 19*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 6*a^2*z^8 - 7*a^4*z^8 + 
   a^6*z^8 - a^2*z^10 - a^4*z^10, Knot[15, Alternating, 53849] -> 
  3 - a^(-2) + a^2 - 4*a^4 + 2*a^6 + 7*z^2 - z^2/a^4 + z^2/a^2 - 6*a^2*z^2 - 
   7*a^4*z^2 + 5*a^6*z^2 + 4*z^4 - z^4/a^4 + (4*z^4)/a^2 - 12*a^2*z^4 - 
   7*a^4*z^4 + 4*a^6*z^4 - z^6 + (2*z^6)/a^2 - 8*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 53850] -> 
  3*a^2 - 2*a^4 - a^6 + a^8 - 2*z^2 + 8*a^2*z^2 - 2*a^4*z^2 - 12*a^6*z^2 + 
   7*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 3*a^4*z^4 - 22*a^6*z^4 + 9*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 5*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 53851] -> -6 + 3/a^2 + 5*a^2 - a^4 - 16*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 16*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (3*z^4)/a^4 - 
   (8*z^4)/a^2 + 21*a^2*z^4 - 8*a^4*z^4 + 2*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 53852] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 10*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   15*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 14*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   20*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 14*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 53853] -> -6 + 3/a^2 + 5*a^2 - a^4 - 20*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (11*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 53854] -> 
  2 - 2*a^2 + 2*a^4 - 2*a^6 + a^8 + 3*z^2 - z^2/a^2 - a^2*z^2 - a^4*z^2 - 
   6*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + a^2*z^4 - 6*a^4*z^4 - 
   7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 53855] -> 
  -2 + 2/a^4 - 2/a^2 + 4*a^2 - a^4 - z^2 + z^2/a^6 + (2*z^2)/a^4 - 
   (9*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - 
   (8*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53856] -> -2 - 3/a^8 + 7/a^6 - 8/a^4 + 7/a^2 - 5*z^2 - 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (16*z^2)/a^4 + (17*z^2)/a^2 - 4*z^4 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 - (14*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53857] -> -9 - a^(-6) - 4/a^4 + 13/a^2 + 2*a^2 - 
   22*z^2 - (2*z^2)/a^6 - (5*z^2)/a^4 + (29*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - 
   (3*z^4)/a^6 + (27*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53858] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + z^2/a^8 - z^2/a^6 + z^2/a^4 - 
   (3*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 - 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53859] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 5*z^2 - z^2/a^8 + (5*z^2)/a^6 - 
   (10*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (10*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53860] -> 
  2 - a^(-8) + 2/a^6 - 2/a^4 + a^(-2) - a^2 + 4*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53861] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 15*z^2 + (6*z^2)/a^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 17*z^4 + z^4/a^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 
   10*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53862] -> -5 - a^(-6) - 2/a^4 + 8/a^2 + a^2 - 14*z^2 - 
   (6*z^2)/a^4 + (21*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - z^4/a^6 - (4*z^4)/a^4 + 
   (21*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53863] -> 
  -a^(-2) + 7*a^2 - 7*a^4 + 2*a^6 - 3*z^2 - z^2/a^2 + 19*a^2*z^2 - 
   18*a^4*z^2 + 5*a^6*z^2 - z^4 - (2*z^4)/a^2 + 20*a^2*z^4 - 19*a^4*z^4 + 
   4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 12*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53864] -> 3 - a^(-8) + 3/a^4 - 3/a^2 - a^2 + 6*z^2 + 
   z^2/a^6 + (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53865] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 2*z^2 - 
   z^2/a^2 + 4*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 + 
   2*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 53866] -> 
  4 - a^(-6) + a^(-2) - 4*a^2 + a^4 + 6*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - z^4/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   6*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + z^6/a^4 + (6*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 53867] -> 
  -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 7*z^2 + (5*z^2)/a^8 - (17*z^2)/a^6 + 
   (11*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (12*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53868] -> 
  2 - 9*a^2 + 15*a^4 - 7*a^6 + 5*z^2 - 30*a^2*z^2 + 50*a^4*z^2 - 19*a^6*z^2 + 
   8*z^4 - 47*a^2*z^4 + 79*a^4*z^4 - 26*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 
   69*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 53869] -> -2*a^6 + 12*a^8 - 12*a^10 + 3*a^12 - 
   5*a^4*z^2 + 5*a^6*z^2 + 30*a^8*z^2 - 24*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 4*a^4*z^4 + 14*a^6*z^4 + 29*a^8*z^4 - 16*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 11*a^6*z^6 + 14*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 53870] -> 
  3 + 2/a^4 - 5/a^2 + 3*a^2 - 2*a^4 + z^2 + z^2/a^6 + (5*z^2)/a^4 - 
   (13*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 5*z^4 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 - (16*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 6*z^6 + z^6/a^6 - 
   z^6/a^4 - (11*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 53871] -> -3*a^2 + 11*a^4 - 9*a^6 + 2*a^8 - 2*z^2 + 
   17*a^4*z^2 - 15*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 6*a^4*z^4 - 
   15*a^6*z^4 + 6*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 11*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 53872] -> -3 + 2/a^8 - 6/a^6 + 2/a^4 + 
   6/a^2 - 9*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + (7*z^2)/a^4 + (17*z^2)/a^2 - 
   10*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + (12*z^4)/a^4 + (22*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53873] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 31*z^2 + 
   (7*z^2)/a^4 - (26*z^2)/a^2 - 10*a^2*z^2 + 51*z^4 + (9*z^4)/a^4 - 
   (41*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (33*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 53874] -> 
  2 - 7*a^2 + 11*a^4 - 5*a^6 - 4*z^2 + (2*z^2)/a^2 - 8*a^2*z^2 + 23*a^4*z^2 - 
   9*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + a^2*z^4 + 22*a^4*z^4 - 8*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 6*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53875] -> 
  13 + 2/a^4 - 9/a^2 - 5*a^2 + 54*z^2 + (11*z^2)/a^4 - (43*z^2)/a^2 - 
   19*a^2*z^2 + 88*z^4 + (13*z^4)/a^4 - (65*z^4)/a^2 - 28*a^2*z^4 + 74*z^6 + 
   (6*z^6)/a^4 - (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 53876] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 25*z^2 + 
   (4*z^2)/a^6 - (7*z^2)/a^4 - (10*z^2)/a^2 - 10*a^2*z^2 + 26*z^4 + 
   (4*z^4)/a^6 - (16*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 53877] -> 
  2 - 6*a^2 + 9*a^4 - 4*a^6 + 3*z^2 + z^2/a^2 - 17*a^2*z^2 + 23*a^4*z^2 - 
   7*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 16*a^2*z^4 + 24*a^4*z^4 - 7*a^6*z^4 - 
   5*z^6 + z^6/a^2 - 4*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53878] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 21*z^2 + (2*z^2)/a^6 - (15*z^2)/a^2 - 
   7*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - (10*z^4)/a^2 - 
   7*a^2*z^4 + 13*z^6 + z^6/a^6 - (7*z^6)/a^4 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 53879] -> -a^(-18) + 7/a^16 - 13/a^14 + 4/a^12 + 
   4/a^10 - z^2/a^18 + (13*z^2)/a^16 - (45*z^2)/a^14 + (30*z^2)/a^12 + 
   (16*z^2)/a^10 + (3*z^4)/a^16 - (45*z^4)/a^14 + (62*z^4)/a^12 + 
   (25*z^4)/a^10 - (3*z^6)/a^16 - (13*z^6)/a^14 + (54*z^6)/a^12 + 
   (19*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 53880] -> 
  -2 + 2/a^8 - 10/a^6 + 11/a^4 - 6*z^2 + (5*z^2)/a^8 - (30*z^2)/a^6 + 
   (41*z^2)/a^4 - (3*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (33*z^4)/a^6 + 
   (55*z^4)/a^4 - 4*z^6 + z^6/a^8 - (16*z^6)/a^6 + (37*z^6)/a^4 + 
   (5*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 53881] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 4*z^2 + z^2/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + (13*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (11*z^6)/a^6 + (19*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (10*z^8)/a^4 + (4*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 53882] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (19*z^4)/a^10 + 
   (23*z^4)/a^8 + (11*z^4)/a^6 - (6*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (24*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53883] -> -1 + 2/a^8 - 10/a^6 + 12/a^4 - 2/a^2 - 
   4*z^2 + (4*z^2)/a^8 - (23*z^2)/a^6 + (32*z^2)/a^4 - (3*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (24*z^4)/a^6 + (38*z^4)/a^4 + (2*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (27*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53884] -> 9 + 2/a^4 - 8/a^2 - 2*a^4 + 29*z^2 + 
   (5*z^2)/a^4 - (25*z^2)/a^2 + a^2*z^2 - 6*a^4*z^2 + 43*z^4 + (4*z^4)/a^4 - 
   (30*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 33*z^6 + z^6/a^4 - (16*z^6)/a^2 + 
   8*a^2*z^6 - 5*a^4*z^6 + 13*z^8 - (3*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + 
   2*z^10 + a^2*z^10, Knot[15, Alternating, 53885] -> 
  a^(-6) - 4/a^4 + 4/a^2 + a^2 - a^4 + 7*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*a^4*z^2 + 15*z^4 + z^4/a^6 - (9*z^4)/a^4 + (8*z^4)/a^2 + 
   a^2*z^4 - 3*a^4*z^4 + 11*z^6 - (3*z^6)/a^4 + (6*z^6)/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 3*z^8 + (2*z^8)/a^2 + a^2*z^8, Knot[15, Alternating, 53886] -> 
  -2 + 2/a^8 - 9/a^6 + 9/a^4 + a^(-2) - 7*z^2 + (5*z^2)/a^8 - (26*z^2)/a^6 + 
   (31*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (31*z^4)/a^6 + 
   (45*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + z^6/a^8 - (16*z^6)/a^6 + 
   (34*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 53887] -> 
  -1 + a^(-10) - 4/a^8 + 3/a^6 + 2/a^2 - 3*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (7*z^4)/a^6 + (14*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (6*z^6)/a^6 + 
   (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 53888] -> -a^(-10) + 6/a^8 - 9/a^6 + 3/a^4 + 2/a^2 - 
   (3*z^2)/a^10 + (20*z^2)/a^8 - (29*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (25*z^4)/a^8 - (42*z^4)/a^6 + (6*z^4)/a^2 - z^6/a^10 + 
   (14*z^6)/a^8 - (31*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53889] -> 1 + 3/a^6 - 6/a^4 + 3/a^2 + 2*z^2 - 
   z^2/a^10 + (5*z^2)/a^8 + (2*z^2)/a^6 - (16*z^2)/a^4 + (5*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (7*z^4)/a^8 - (4*z^4)/a^6 - (19*z^4)/a^4 + 
   (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 - z^6/a^2 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53890] -> 
  -a^(-14) + 7/a^12 - 13/a^10 + 6/a^8 + 2/a^6 - (4*z^2)/a^14 + 
   (22*z^2)/a^12 - (38*z^2)/a^10 + (17*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (29*z^4)/a^12 - (48*z^4)/a^10 + (13*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (34*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 53891] -> 
  a^(-12) - a^(-10) - 3/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (7*z^2)/a^12 - 
   (4*z^2)/a^10 - (9*z^2)/a^8 + (8*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + 
   (9*z^4)/a^12 - (6*z^4)/a^10 - (14*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (11*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53892] -> 
  -a^(-18) + 7/a^16 - 14/a^14 + 7/a^12 + a^(-10) + a^(-8) + (8*z^2)/a^16 - 
   (35*z^2)/a^14 + (26*z^2)/a^12 + (10*z^2)/a^10 + (4*z^2)/a^8 - 
   (26*z^4)/a^14 + (39*z^4)/a^12 + (21*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - 
   (4*z^6)/a^14 + (26*z^6)/a^12 + (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53893] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 6*z^2 + (3*z^2)/a^2 + 3*a^2*z^2 - 
   6*z^4 - (2*z^4)/a^6 + (11*z^4)/a^4 - (12*z^4)/a^2 + 5*a^2*z^4 - 6*z^6 - 
   z^6/a^6 + (11*z^6)/a^4 - (18*z^6)/a^2 + 4*a^2*z^6 - 4*z^8 + (3*z^8)/a^4 - 
   (10*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 53894] -> -a^(-18) + 7/a^16 - 14/a^14 + 8/a^12 - 
   a^(-10) + 2/a^8 + (6*z^2)/a^16 - (28*z^2)/a^14 + (21*z^2)/a^12 + 
   (6*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - (17*z^4)/a^14 + (28*z^4)/a^12 + 
   (17*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (18*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 53895] -> a^(-10) - 3/a^8 + 2/a^6 + 
   a^(-2) - (2*z^2)/a^10 + (7*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + 
   (4*z^2)/a^2 - (3*z^4)/a^10 + (19*z^4)/a^8 - (23*z^4)/a^6 - (4*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (24*z^6)/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 53896] -> 
  -1 + 3*a^2 - a^6 - 6*z^2 + (2*z^2)/a^2 + 2*a^2*z^2 + 11*a^4*z^2 - 
   6*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 2*a^2*z^4 + 21*a^4*z^4 - 9*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53897] -> 
  a^2 + a^4 - a^6 - 2*z^2 + z^2/a^2 - 3*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   6*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 18*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 2*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53898] -> 
  -1 + 6*a^2 - 7*a^4 + 4*a^6 - a^8 - 6*z^2 + z^2/a^2 + 15*a^2*z^2 - 
   15*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 - 8*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   9*a^4*z^4 + 2*a^6*z^4 - 6*z^6 + z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 
   2*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53899] -> -2 + 5*a^2 - a^4 - a^6 - 4*z^2 + 8*a^2*z^2 + 
   3*a^4*z^2 - 3*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 8*a^2*z^4 + 11*a^4*z^4 - 
   6*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 53900] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (6*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53901] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 4*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (5*z^2)/a^2 - a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53902] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   (6*z^2)/a^8 + (14*z^2)/a^6 - (8*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + 
   z^4/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53903] -> a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - 
   (7*z^2)/a^8 + (15*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (17*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (5*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53904] -> -2/a^6 + 3/a^4 + z^2 - z^2/a^10 + z^2/a^8 - 
   z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (4*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53905] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 2*a^4*z^2 - 
   2*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 53906] -> 
  -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 - 
   (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (6*z^4)/a^8 + (2*z^4)/a^6 - 
   (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (2*z^6)/a^6 - 
   (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53907] -> 
  1 - z^2 + z^2/a^8 - (4*z^2)/a^4 + (4*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - 
   (5*z^4)/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53908] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 + a^4*z^2 + 19*z^4 - (4*z^4)/a^2 - 27*a^2*z^4 + 
   11*a^4*z^4 + 25*z^6 - (4*z^6)/a^2 - 41*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 53909] -> -a^4 + 5*a^6 - 5*a^10 + 2*a^12 - 
   a^2*z^2 - 2*a^4*z^2 + 11*a^6*z^2 + 10*a^8*z^2 - 15*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 12*a^6*z^4 + 17*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 9*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 53910] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2/a^10 - (6*z^2)/a^8 + 
   (11*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (11*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53911] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 16*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (21*z^2)/a^2 + 4*a^2*z^2 - 21*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (21*z^4)/a^2 + 6*a^2*z^4 - 13*z^6 - z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53912] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   5*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (15*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (8*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53913] -> 
  1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (6*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + (5*z^4)/a^4 - (7*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 + z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53914] -> -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + 
   a^2 - 6*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 - 5*z^4 - 
   z^4/a^8 + (7*z^4)/a^4 - z^4/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + 
   (2*z^6)/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 53915] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (7*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53916] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   7*z^2 + (9*z^2)/a^6 - (24*z^2)/a^4 + (24*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (18*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 - (2*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53917] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 9*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 3*a^2*z^2 + 8*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 53918] -> -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 
   3*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (13*z^4)/a^2 - 3*z^6 + z^6/a^8 - (5*z^6)/a^6 - 
   (2*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53919] -> 
  2*a^2 - 2*a^4 + 3*a^6 - 3*a^8 + a^10 - z^2 + 4*a^2*z^2 - 3*a^4*z^2 + 
   3*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 2*z^4 + 6*a^2*z^4 - 3*a^4*z^4 - 
   3*a^6*z^4 + a^8*z^4 - z^6 + 6*a^2*z^6 - 3*a^4*z^6 - 6*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 53920] -> -a^4 + 7*a^6 - 5*a^8 - a^10 + 
   a^12 - 5*a^4*z^2 + 20*a^6*z^2 - 6*a^8*z^2 - 6*a^10*z^2 + 2*a^12*z^2 - 
   7*a^4*z^4 + 22*a^6*z^4 - 7*a^10*z^4 + a^12*z^4 - a^2*z^6 - 2*a^4*z^6 + 
   13*a^6*z^6 + 3*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 53921] -> -1 + 3*a^2 - a^4 + 2*a^6 - 3*a^8 + a^10 - 
   3*z^2 + 7*a^2*z^2 + a^6*z^2 - 3*a^8*z^2 + a^10*z^2 - 3*z^4 + 9*a^2*z^4 - 
   4*a^6*z^4 + a^8*z^4 - z^6 + 7*a^2*z^6 - 2*a^4*z^6 - 6*a^6*z^6 + 
   3*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 53922] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - 
   5*z^2 + (2*z^2)/a^8 + (3*z^2)/a^6 - (19*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (5*z^4)/a^6 - (20*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (12*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53923] -> -4 + 2/a^2 + 4*a^2 - a^4 - 12*z^2 + 
   (3*z^2)/a^4 - z^2/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + (4*z^4)/a^4 - 
   (6*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 53924] -> -4 - a^(-6) - a^(-4) + 6/a^2 + 
   a^2 - 13*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 
   17*z^4 - (3*z^4)/a^6 + (8*z^4)/a^4 + (9*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53925] -> 
  -8 - a^(-6) - a^(-4) + 8/a^2 + 3*a^2 - 23*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (13*z^2)/a^2 + 9*a^2*z^2 - 27*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 + 
   (5*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (8*z^6)/a^4 - (4*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53926] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (9*z^2)/a^4 + (13*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 53927] -> -4 - a^(-6) - a^(-4) + 6/a^2 + 
   a^2 - 12*z^2 - z^2/a^6 - (2*z^2)/a^4 + (15*z^2)/a^2 + 3*a^2*z^2 - 14*z^4 - 
   (3*z^4)/a^6 + (2*z^4)/a^4 + (15*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53928] -> 3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + 
   (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (6*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 53929] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 
   9/a^2 - 5*z^2 + (11*z^2)/a^6 - (26*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (26*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (5*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53930] -> 4 - a^(-6) + 3/a^4 - 4/a^2 - a^2 + 8*z^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (8*z^2)/a^2 - 2*a^2*z^2 + 
   6*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 + z^4/a^4 - (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 53931] -> 
  -12 - a^(-6) - 3/a^4 + 13/a^2 + 4*a^2 - 31*z^2 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + (20*z^2)/a^2 + 12*a^2*z^2 - 34*z^4 - (3*z^4)/a^6 + 
   (13*z^4)/a^4 + (5*z^4)/a^2 + 13*a^2*z^4 - 21*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (7*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 53932] -> 
  3*a^2 - 3*a^4 + a^6 - 2*z^2 + 9*a^2*z^2 - 8*a^4*z^2 - 2*a^6*z^2 + 
   3*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 9*a^4*z^4 - 11*a^6*z^4 + 6*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 7*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 53933] -> 4 - a^(-6) + a^(-4) - 5*a^2 + 2*a^4 + 
   6*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 11*a^2*z^2 + 5*a^4*z^2 - 
   z^4/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 + 
   (2*z^6)/a^4 - (4*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 53934] -> 3 - a^(-2) - 2*a^4 + a^6 + 8*z^2 - z^2/a^4 - 
   7*a^2*z^2 - 3*a^4*z^2 + 3*a^6*z^2 + 6*z^4 - z^4/a^4 + (3*z^4)/a^2 - 
   11*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 7*a^2*z^6 - 3*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 53935] -> 
  2 - 3*a^2 + 4*a^4 - 3*a^6 + a^8 + 4*z^2 - z^2/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - z^4/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 
   10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - 
   a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 53936] -> 
  -7 + 3/a^2 + 7*a^2 - 2*a^4 - 14*z^2 + (2*z^2)/a^4 - z^2/a^2 + 19*a^2*z^2 - 
   7*a^4*z^2 - 7*z^4 + (3*z^4)/a^4 - (9*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 
   3*z^6 + z^6/a^4 - (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53937] -> 2/a^4 - 3/a^2 + 3*a^2 - a^4 + 2*z^2 + 
   z^2/a^6 - (7*z^2)/a^2 + 5*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 53938] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   7*z^2 + (9*z^2)/a^6 - (24*z^2)/a^4 + (24*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (2*z^4)/a^6 - (18*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 - (2*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53939] -> -6 - 2/a^4 + 6/a^2 + 4*a^2 - a^4 - 17*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 12*a^2*z^2 - 3*a^4*z^2 - 16*z^4 + 
   (2*z^4)/a^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 3*a^4*z^4 - 9*z^6 + (3*z^6)/a^4 - 
   (5*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53940] -> 
  3 - 2/a^6 + 4/a^4 - 3/a^2 - a^2 + 6*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + z^4/a^8 - (4*z^4)/a^6 + 
   (6*z^4)/a^4 - (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 53941] -> -1 - a^(-6) + 3/a^4 - 2/a^2 + 3*a^2 - a^4 - 
   z^2 - z^2/a^6 + (7*z^2)/a^4 - (9*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + 
   z^4/a^6 + (3*z^4)/a^4 - (10*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - z^6/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 53942] -> -1 - a^(-2) + 9*a^2 - 8*a^4 + 2*a^6 - 
   5*z^2 - z^2/a^2 + 24*a^2*z^2 - 20*a^4*z^2 + 5*a^6*z^2 - 2*z^4 - 
   (2*z^4)/a^2 + 24*a^2*z^4 - 20*a^4*z^4 + 4*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   13*a^2*z^6 - 10*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 53943] -> 
  4 - 2/a^2 + a^2 - 3*a^4 + a^6 + 7*z^2 - (3*z^2)/a^2 + 2*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 7*z^4 - z^4/a^4 - z^4/a^2 + a^2*z^4 - 5*a^4*z^4 + 
   a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 53944] -> 
  -9 - 6/a^4 + 14/a^2 + 2*a^2 - 22*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (32*z^2)/a^2 + 5*a^2*z^2 - 21*z^4 - (9*z^4)/a^4 + (30*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (2*z^6)/a^6 + (15*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53945] -> 5 - a^(-6) + a^(-4) - a^(-2) - 4*a^2 + a^4 + 
   9*z^2 - 8*a^2*z^2 + 2*a^4*z^2 + 7*z^4 - z^4/a^6 + z^4/a^4 - 6*a^2*z^4 + 
   a^4*z^4 + 3*z^6 - z^6/a^6 + (2*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 53946] -> 
  6 + 2/a^4 - 7/a^2 + 3*a^2 - 3*a^4 + 12*z^2 + (5*z^2)/a^4 - (18*z^2)/a^2 + 
   13*a^2*z^2 - 8*a^4*z^2 + 13*z^4 + (4*z^4)/a^4 - (19*z^4)/a^2 + 
   20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (10*z^6)/a^2 + 15*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53947] -> -a^(-18) + 5/a^16 - 6/a^14 - 2/a^12 + 
   3/a^10 + 2/a^8 + (5*z^2)/a^16 - (16*z^2)/a^14 + (14*z^2)/a^10 + 
   (7*z^2)/a^8 - z^4/a^16 - (11*z^4)/a^14 + (10*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 53948] -> 1 + 2/a^8 - 9/a^6 + 12/a^4 - 5/a^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (22*z^2)/a^4 - (7*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (14*z^4)/a^6 + (17*z^4)/a^4 + z^4/a^2 - 3*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (9*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53949] -> 2 - 7*a^2 + 11*a^4 - 5*a^6 + 9*z^2 - 
   37*a^2*z^2 + 50*a^4*z^2 - 18*a^6*z^2 + 12*z^4 - 59*a^2*z^4 + 82*a^4*z^4 - 
   26*a^6*z^4 + 6*z^6 - 43*a^2*z^6 + 70*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   15*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 53950] -> 3 - 9*a^2 + 12*a^4 - 5*a^6 - 
   2*z^2 + (2*z^2)/a^2 - 14*a^2*z^2 + 27*a^4*z^2 - 10*a^6*z^2 - 10*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 28*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53951] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 5*z^2 + (2*z^2)/a^4 + 3*a^2*z^2 - 7*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 6*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53952] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 59*z^2 + (11*z^2)/a^4 - (45*z^2)/a^2 - 
   21*a^2*z^2 + 92*z^4 + (13*z^4)/a^4 - (66*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + 
   (6*z^6)/a^4 - (45*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 53953] -> -a^(-18) + 6/a^16 - 11/a^14 + 3/a^12 + 
   4/a^10 + (6*z^2)/a^16 - (24*z^2)/a^14 + (11*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 - (13*z^4)/a^14 + (16*z^4)/a^12 + (23*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + (8*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 53954] -> -a^(-14) + 5/a^12 - 8/a^10 + 
   2/a^8 + 3/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - (15*z^2)/a^10 + 
   (2*z^2)/a^8 + (10*z^2)/a^6 - z^4/a^14 + (10*z^4)/a^12 - (12*z^4)/a^10 - 
   (6*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (10*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 53955] -> -a^(-14) + 4/a^12 - 7/a^10 + 
   3/a^8 + 2/a^6 - (2*z^2)/a^14 + (10*z^2)/a^12 - (13*z^2)/a^10 + 
   (2*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (12*z^4)/a^10 - (9*z^4)/a^8 + (9*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (9*z^6)/a^10 - (12*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53956] -> 
  -1 + a^(-8) - 7/a^6 + 9/a^4 - a^(-2) - 3*z^2 + (3*z^2)/a^8 - (15*z^2)/a^6 + 
   (21*z^2)/a^4 - 3*z^4 + (4*z^4)/a^8 - (15*z^4)/a^6 + (17*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 + (4*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (2*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53957] -> 
  3 - 8*a^2 + 10*a^4 - 4*a^6 + 4*z^2 + z^2/a^2 - 21*a^2*z^2 + 26*a^4*z^2 - 
   8*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 18*a^2*z^4 + 27*a^4*z^4 - 8*a^6*z^4 - 
   5*z^6 + z^6/a^2 - 4*a^2*z^6 + 15*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 53958] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (22*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (33*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 53959] -> 
  -1 + a^(-10) - 4/a^8 + 4/a^6 - 2/a^4 + 3/a^2 - 3*z^2 + (2*z^2)/a^10 - 
   (8*z^2)/a^8 + (6*z^2)/a^6 + (3*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (8*z^4)/a^8 + (5*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 53960] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 20*z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (12*z^2)/a^2 - 7*a^2*z^2 + 22*z^4 + (3*z^4)/a^6 - (7*z^4)/a^4 - 
   (9*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (7*z^6)/a^4 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 53961] -> 2/a^10 - 8/a^8 + 8/a^6 - a^(-4) + 
   (2*z^2)/a^12 - (5*z^2)/a^10 - (6*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (15*z^4)/a^10 + (11*z^4)/a^8 + (15*z^4)/a^6 - (6*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (18*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 53962] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 
   23*z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 - (5*z^2)/a^2 - 10*a^2*z^2 + 25*z^4 + 
   (4*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (10*z^6)/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 53963] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (11*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (18*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (10*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53964] -> -a^(-14) + 6/a^12 - 11/a^10 + 5/a^8 + 
   2/a^6 - (4*z^2)/a^14 + (18*z^2)/a^12 - (29*z^2)/a^10 + (13*z^2)/a^8 + 
   (7*z^2)/a^6 - (4*z^4)/a^14 + (25*z^4)/a^12 - (36*z^4)/a^10 + (9*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (28*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 53965] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^14 + (5*z^2)/a^12 - 
   (9*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - 
   (3*z^4)/a^10 - (12*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - 
   (5*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53966] -> 
  2/a^8 - 5/a^6 + 3/a^4 + a^(-2) - (2*z^2)/a^10 + (9*z^2)/a^8 - 
   (12*z^2)/a^6 + (2*z^2)/a^4 + (3*z^2)/a^2 - (5*z^4)/a^10 + (14*z^4)/a^8 - 
   (11*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 - 
   z^6/a^6 - (7*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (3*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 53967] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 3*z^2 + (5*z^2)/a^6 - (14*z^2)/a^4 + 
   (12*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - (4*z^6)/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 53968] -> 
  -a^(-18) + 7/a^16 - 13/a^14 + 4/a^12 + 4/a^10 + (8*z^2)/a^16 - 
   (34*z^2)/a^14 + (19*z^2)/a^12 + (20*z^2)/a^10 - (26*z^4)/a^14 + 
   (34*z^4)/a^12 + (33*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + 
   (25*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53969] -> 
  a^(-16) - a^(-14) - 5/a^12 + 5/a^10 + a^(-8) + z^2/a^16 - (8*z^2)/a^14 - 
   (4*z^2)/a^12 + (17*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - (5*z^4)/a^14 + 
   (7*z^4)/a^12 + (21*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53970] -> -a^(-18) + 8/a^16 - 15/a^14 + 5/a^12 + 
   4/a^10 - z^2/a^18 + (15*z^2)/a^16 - (50*z^2)/a^14 + (32*z^2)/a^12 + 
   (16*z^2)/a^10 + (4*z^4)/a^16 - (49*z^4)/a^14 + (63*z^4)/a^12 + 
   (25*z^4)/a^10 - (3*z^6)/a^16 - (14*z^6)/a^14 + (54*z^6)/a^12 + 
   (19*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 53971] -> 
  -a^(-18) + 7/a^16 - 13/a^14 + 6/a^12 + 2/a^8 + (6*z^2)/a^16 - 
   (26*z^2)/a^14 + (16*z^2)/a^12 + (8*z^2)/a^10 + (7*z^2)/a^8 - z^4/a^16 - 
   (16*z^4)/a^14 + (24*z^4)/a^12 + (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (17*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 53972] -> 
  -a^(-18) + 6/a^16 - 10/a^14 + 2/a^12 + 3/a^10 + a^(-8) + (6*z^2)/a^16 - 
   (23*z^2)/a^14 + (9*z^2)/a^12 + (15*z^2)/a^10 + (5*z^2)/a^8 - 
   (13*z^4)/a^14 + (15*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + 
   (8*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 53973] -> -a^(-18) + 7/a^16 - 13/a^14 + 5/a^12 + 
   2/a^10 + a^(-8) + (8*z^2)/a^16 - (34*z^2)/a^14 + (23*z^2)/a^12 + 
   (11*z^2)/a^10 + (4*z^2)/a^8 - (26*z^4)/a^14 + (38*z^4)/a^12 + 
   (21*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (26*z^6)/a^12 + 
   (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 53974] -> 6 + a^(-4) - 5/a^2 + a^2 - 
   2*a^4 + 12*z^2 + (2*z^2)/a^4 - (11*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 
   9*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53975] -> 
  a^(-10) - 5/a^8 + 5/a^6 + z^2/a^12 - (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (13*z^2)/a^6 - (2*z^2)/a^4 + z^4/a^12 - (7*z^4)/a^10 + (3*z^4)/a^8 + 
   (15*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 - (4*z^6)/a^10 + (6*z^6)/a^8 + 
   (11*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 53976] -> -a^(-4) + 2/a^2 - z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 - (5*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (6*z^4)/a^8 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53977] -> -1 + a^(-2) + a^2 - 11*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 4*a^2*z^2 - 17*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 + (7*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (7*z^6)/a^4 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53978] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^8 + 
   (4*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (5*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 53979] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 - (5*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 53980] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 2*z^2 + 
   (4*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - z^4 + (6*z^4)/a^4 - 
   (14*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 53981] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - (6*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 53982] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - (5*z^2)/a^10 + (6*z^2)/a^8 + (9*z^2)/a^6 - 
   (12*z^2)/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (16*z^4)/a^8 + (10*z^4)/a^6 - 
   (17*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (14*z^6)/a^8 + (9*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 53983] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 10*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (8*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53984] -> 
  1 - 2/a^8 + 4/a^6 - 2/a^4 + 2*z^2 - (3*z^2)/a^10 + (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (6*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + 
   (5*z^4)/a^8 + (9*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 53985] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (14*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - 
   (11*z^4)/a^6 + (3*z^4)/a^4 + (17*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 53986] -> -3 - 4/a^4 + 8/a^2 - 9*z^2 + (3*z^2)/a^8 - 
   (6*z^2)/a^6 - (6*z^2)/a^4 + (22*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 - z^4/a^4 + (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (5*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53987] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (7*z^4)/a^6 - (5*z^4)/a^4 - (4*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53988] -> 
  2 - a^(-6) + a^(-4) - a^2 + 4*z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (4*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 53989] -> 
  1 - 2/a^8 + 3/a^6 - a^(-2) + 2*z^2 - (2*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (3*z^4)/a^8 + 
   (7*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + 
   (5*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 53990] -> 1 - a^(-8) + 2/a^6 - a^(-4) + 2*z^2 - 
   z^2/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 - z^2/a^2 + z^4 - 
   z^4/a^10 + (2*z^4)/a^8 + (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (3*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 53991] -> 
  -1 + 4*a^2 - 2*a^4 + z^2/a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 + 
   3*z^4 + z^4/a^6 - (5*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 + 3*z^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 53992] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + 
   z^2/a^8 - (7*z^2)/a^4 + (9*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + z^4/a^8 - 
   (3*z^4)/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 53993] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 31*z^2 + 
   (3*z^2)/a^4 - (17*z^2)/a^2 - 13*a^2*z^2 + 69*z^4 + (8*z^4)/a^4 - 
   (43*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 53994] -> 
  -2 - 2/a^4 + 4/a^2 + 2*a^2 - a^4 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 
   11*a^2*z^2 - 6*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 19*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 53995] -> 2*a^2 - a^4 + (3*z^2)/a^4 - (6*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - z^4 + (4*z^4)/a^4 - (10*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 53996] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 53997] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (2*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 53998] -> 
  a^(-10) - 4/a^8 + 5/a^6 - 3/a^4 + 2/a^2 - (2*z^2)/a^10 + z^2/a^8 + 
   (8*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - (5*z^4)/a^10 + (10*z^4)/a^8 + 
   (5*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 53999] -> -1 - 3/a^6 + 4/a^4 + a^(-2) - z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + z^4 - 
   (4*z^4)/a^8 + (6*z^4)/a^6 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - 
   (2*z^6)/a^4 + (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54000] -> -a^(-4) + 2/a^2 + z^2 - z^2/a^12 + 
   (4*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (7*z^4)/a^8 + z^4/a^6 - (9*z^4)/a^4 - (5*z^6)/a^8 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54001] -> -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + 
   (2*z^2)/a^12 + (2*z^2)/a^10 - z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 - (7*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 54002] -> 1 + a^(-10) - 3/a^8 + 2/a^6 + a^(-4) - 
   a^(-2) + 2*z^2 - z^2/a^10 - z^2/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (2*z^4)/a^8 + (6*z^4)/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54003] -> -2 + 6*a^2 - 3*a^4 - 5*z^2 + z^2/a^2 + 
   7*a^2*z^2 + 3*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 3*a^2*z^4 + 
   13*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54004] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + 
   z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + (9*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - z^4/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54005] -> 
  -a^(-6) + a^(-4) + a^(-2) - 5*z^2 - z^2/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 5*a^2*z^4 - 
   11*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54006] -> -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 8*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (2*z^4)/a^6 + z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54007] -> 
  -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54008] -> -1 - a^(-6) + 3/a^2 - 5*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 + (10*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (5*z^4)/a^4 + (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54009] -> -a^4 + 5*a^6 + a^8 - 7*a^10 + 
   3*a^12 - 4*a^4*z^2 + 12*a^6*z^2 + 14*a^8*z^2 - 24*a^10*z^2 + 7*a^12*z^2 - 
   6*a^4*z^4 + 9*a^6*z^4 + 31*a^8*z^4 - 30*a^10*z^4 + 5*a^12*z^4 - 
   4*a^4*z^6 + 6*a^6*z^6 + 28*a^8*z^6 - 16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   4*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 54010] -> 1 + 2*a^2 - 6*a^4 + 7*a^6 - 4*a^8 + a^10 + 
   7*a^2*z^2 - 20*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   8*a^2*z^4 - 22*a^4*z^4 + 15*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   10*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 54011] -> 1 + a^2 - 4*a^4 + 6*a^6 - 4*a^8 + a^10 + 
   5*a^2*z^2 - 15*a^4*z^2 + 16*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 
   7*a^2*z^4 - 18*a^4*z^4 + 14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 + 6*a^6*z^6 - a^2*z^8 - 3*a^4*z^8, 
 Knot[15, Alternating, 54012] -> -a^(-18) + 5/a^16 - 7/a^14 + a^(-12) + 
   3/a^8 + (5*z^2)/a^16 - (16*z^2)/a^14 + (4*z^2)/a^12 + (7*z^2)/a^10 + 
   (10*z^2)/a^8 - (10*z^4)/a^14 + (9*z^4)/a^12 + (15*z^4)/a^10 + 
   (11*z^4)/a^8 + z^4/a^6 + (6*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 54013] -> -a^(-18) + 6/a^16 - 10/a^14 + 
   a^(-12) + 5/a^10 - z^2/a^18 + (12*z^2)/a^16 - (36*z^2)/a^14 + 
   (16*z^2)/a^12 + (22*z^2)/a^10 + (5*z^4)/a^16 - (35*z^4)/a^14 + 
   (34*z^4)/a^12 + (34*z^4)/a^10 + (2*z^4)/a^8 - (10*z^6)/a^14 + 
   (25*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + (6*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54014] -> 
  -a^(-18) + 6/a^16 - 11/a^14 + 5/a^12 + 2/a^8 + (5*z^2)/a^16 - 
   (20*z^2)/a^14 + (10*z^2)/a^12 + (9*z^2)/a^10 + (8*z^2)/a^8 - 
   (10*z^4)/a^14 + (12*z^4)/a^12 + (17*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + 
   (6*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54015] -> -a^(-18) + 7/a^16 - 12/a^14 + 2/a^12 + 
   5/a^10 + (8*z^2)/a^16 - (31*z^2)/a^14 + (14*z^2)/a^12 + (19*z^2)/a^10 + 
   (2*z^2)/a^8 - (23*z^4)/a^14 + (28*z^4)/a^12 + (28*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54016] -> -1 - a^(-8) + 4/a^6 - 7/a^4 + 6/a^2 - 
   3*z^2 - z^2/a^8 + (5*z^2)/a^6 - (10*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54017] -> a^(-6) - 3/a^4 + 3/a^2 - z^2/a^10 + 
   z^2/a^8 + (6*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - (3*z^4)/a^10 + 
   (6*z^4)/a^8 + (6*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54018] -> 1 - 6*z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (6*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54019] -> -1 + a^(-2) + a^2 - 6*z^2 - z^2/a^8 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - z^4/a^8 + (2*z^4)/a^6 + 
   (4*z^4)/a^4 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 54020] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (4*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54021] -> 2 + a^(-4) - 2/a^2 + 3*z^2 - z^2/a^10 + 
   z^2/a^8 + (3*z^2)/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (2*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (5*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 + z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54022] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 2*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 13*a^2*z^2 - 
   6*a^4*z^2 + (6*z^4)/a^4 - (13*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54023] -> 
  -4 - 3/a^4 + 7/a^2 + a^2 - 13*z^2 - (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - (9*z^4)/a^6 + (16*z^4)/a^4 + 
   (14*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54024] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54025] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 6*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - 
   (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (5*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54026] -> 4 - 2/a^2 - a^4 + 7*z^2 + z^2/a^6 - 
   z^2/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54027] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 - 6*z^2 - 
   (2*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 + 2*a^2*z^2 - 6*z^4 - (3*z^4)/a^8 + 
   (2*z^4)/a^6 + (12*z^4)/a^4 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + 
   (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 54028] -> 1 - a^(-8) + a^(-6) + a^(-4) - a^(-2) + 
   2*z^2 - (2*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54029] -> 
  -3 + 8*a^2 - 4*a^4 - 8*z^2 + z^2/a^4 - (2*z^2)/a^2 + 22*a^2*z^2 - 
   9*a^4*z^2 - 4*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 26*a^2*z^4 - 9*a^4*z^4 + 
   3*z^6 + z^6/a^4 - (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54030] -> 1 - a^(-2) + 3*a^2 - 2*a^4 + 4*z^2 + 
   z^2/a^4 - (5*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + z^4/a^6 - 
   z^4/a^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - 
   z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54031] -> 2 - a^(-2) + a^2 - a^4 + z^2 + (3*z^2)/a^4 - 
   (6*z^2)/a^2 + 7*a^2*z^2 - 3*a^4*z^2 - 3*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 
   12*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54032] -> 2*a^2 - a^4 + z^2 + z^2/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54033] -> -1 - a^(-6) + 2/a^4 + a^2 - 7*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (5*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + 
   (3*z^6)/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 54034] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - 
   (11*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + z^4/a^8 + (13*z^4)/a^6 - 
   (19*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (4*z^6)/a^6 - 
   (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54035] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + 2*z^2 - z^2/a^10 + (2*z^2)/a^8 - z^2/a^6 + 
   (3*z^2)/a^4 - (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 - z^4/a^6 + 
   (2*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (2*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 54036] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + z^2/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54037] -> 
  2 - a^(-6) + a^(-4) - a^2 + 5*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 + (4*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54038] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 - 
   z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (4*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (12*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 54039] -> 1 - 3/a^6 + 6/a^4 - 3/a^2 + 2*z^2 - 
   (3*z^2)/a^10 + (6*z^2)/a^8 - (6*z^2)/a^6 + (11*z^2)/a^4 - (7*z^2)/a^2 + 
   z^4 - (3*z^4)/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + z^6/a^6 + (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 54040] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 - z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54041] -> 2*a^2 - a^4 - z^2 - z^2/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + z^4 + z^4/a^6 - z^4/a^4 + 4*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54042] -> -2 - a^(-8) + 3/a^6 - 6/a^4 + 7/a^2 - 
   7*z^2 + z^2/a^8 + z^2/a^6 - (11*z^2)/a^4 + (19*z^2)/a^2 - 8*z^4 + 
   (2*z^4)/a^8 - (6*z^4)/a^6 - (6*z^4)/a^4 + (22*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54043] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (11*z^4)/a^8 - (6*z^4)/a^6 - (21*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - (15*z^6)/a^4 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54044] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 8*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 + 
   3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (7*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54045] -> -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 
   10*z^2 + (5*z^2)/a^6 - (20*z^2)/a^4 + (29*z^2)/a^2 - 10*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (14*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 - z^6/a^4 + (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54046] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   10*z^2 + z^2/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 
   9*z^4 + z^4/a^8 - (4*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 3*a^2*z^4 + 
   4*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 54047] -> -a^(-10) + 2/a^8 - a^(-6) - 
   a^(-4) + 2/a^2 + z^2 - z^2/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 - 
   (7*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (13*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (5*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 54048] -> 
  -1 + a^(-8) - a^(-6) - a^(-4) + 2/a^2 + a^2 - 4*z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - z^2/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 + (6*z^4)/a^4 - 
   (2*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + (6*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 54049] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 2*z^2 - z^2/a^10 + (4*z^2)/a^8 - (5*z^2)/a^6 + 
   (6*z^2)/a^4 - (4*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - (3*z^4)/a^6 + 
   z^4/a^4 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54050] -> 
  -a^(-10) + 4/a^6 - 5/a^4 + 3/a^2 - (3*z^2)/a^10 + (5*z^2)/a^8 + 
   (9*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + 
   (6*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 - 
   z^6/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54051] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + z^2/a^10 - 
   (3*z^2)/a^8 + (5*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (10*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54052] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (7*z^2)/a^8 + (11*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (13*z^4)/a^6 - 
   (9*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54053] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - 3*z^2 - z^2/a^8 + (4*z^2)/a^6 - 
   (6*z^2)/a^4 + (9*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54054] -> 
  -5 - 2/a^4 + 5/a^2 + 5*a^2 - 2*a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 10*z^4 + (2*z^4)/a^4 + 16*a^2*z^4 - 4*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54055] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (2*z^2)/a^10 - (8*z^2)/a^8 + (10*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 54056] -> 
  2/a^10 - 6/a^8 + 6/a^6 - 3/a^4 + 2/a^2 - (4*z^2)/a^8 + (10*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (6*z^4)/a^8 + (6*z^4)/a^6 - 
   (14*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + (9*z^6)/a^8 + (5*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 54057] -> 
  -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 + 
   (5*z^2)/a^10 - (8*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (4*z^4)/a^12 + z^4/a^10 - (12*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 54058] -> 1 + a^(-10) - 2/a^8 + 2/a^4 - a^(-2) + 
   2*z^2 - z^2/a^10 + z^2/a^8 + z^2/a^4 - (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54059] -> -a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - a^4 + 
   z^2 + (2*z^2)/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 2*z^4 + 
   z^4/a^6 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - z^6/a^4 - 
   (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54060] -> 1 - a^(-10) + 2/a^8 - 3/a^6 + 4/a^4 - 
   2/a^2 + 2*z^2 - (2*z^2)/a^10 + (9*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 - 
   (4*z^2)/a^2 + z^4 - z^4/a^10 + (7*z^4)/a^8 - (11*z^4)/a^6 + (4*z^4)/a^4 - 
   (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 54061] -> 
  -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - z^2/a^14 + (2*z^2)/a^12 - z^2/a^10 + 
   (4*z^2)/a^8 - (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - 
   z^4/a^10 - (3*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (3*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 54062] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (10*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 + 
   z^4 - (2*z^4)/a^10 + (7*z^4)/a^8 - (8*z^4)/a^6 + (5*z^4)/a^4 - 
   (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 - z^6/a^6 + (2*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 54063] -> 
  -2 + a^(-6) - 3/a^4 + 4/a^2 + a^2 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54064] -> -1 - a^(-6) + 3/a^2 - 3*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (4*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54065] -> 
  -7 + 3/a^2 + 8*a^2 - 4*a^4 + a^6 - 21*z^2 + (6*z^2)/a^2 + 23*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 17*z^4 + (2*z^4)/a^2 + 25*a^2*z^4 - 16*a^4*z^4 + 
   3*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 14*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   3*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54066] -> -8 - 2/a^4 + 7/a^2 + 5*a^2 - a^4 - 26*z^2 - 
   (4*z^2)/a^4 + (18*z^2)/a^2 + 15*a^2*z^2 - 3*a^4*z^2 - 28*z^4 - z^4/a^4 + 
   (14*z^4)/a^2 + 17*a^2*z^4 - 3*a^4*z^4 - 15*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 54067] -> -5 - a^(-6) + 5/a^2 + 2*a^2 - 
   14*z^2 - z^2/a^4 + (11*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + 
   z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + 
   (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54068] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 5*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 + z^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 
   7*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 54069] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54070] -> 1 + a^2 - 2*a^4 + a^6 + 3*z^2 + 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 5*z^4 - 
   z^4/a^4 - (2*z^4)/a^2 - 5*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54071] -> 2 - a^(-6) + 2/a^4 - a^(-2) - 2*a^2 + a^4 + 
   3*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - 
   z^4/a^6 + z^4/a^2 - 5*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + z^6/a^4 + 
   (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 54072] -> a^2 + a^4 - a^6 + z^2 - 12*a^2*z^2 + 
   24*a^4*z^2 - 11*a^6*z^2 + 6*z^4 - 35*a^2*z^4 + 61*a^4*z^4 - 22*a^6*z^4 + 
   5*z^6 - 34*a^2*z^6 + 63*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 54073] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 - 3*a^2*z^2 + 
   13*a^4*z^2 - 7*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + a^2*z^4 + 22*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54074] -> 2 - 3*a^2 + 3*a^4 - a^6 - 2*z^2 - 
   2*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 + 
   15*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + z^6/a^2 + 7*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54075] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   14*z^2 + (11*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54076] -> 1 - a^(-6) + a^(-4) + a^(-2) - 2*a^2 + a^4 + 
   3*z^2 + (2*z^2)/a^4 - z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 3*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (2*z^6)/a^4 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 54077] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 + 4*z^4 + z^4/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54078] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - z^2 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (5*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54079] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + z^4/a^4 - (2*z^4)/a^2 + 
   6*a^2*z^4 + 7*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 54080] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^4 - (6*z^2)/a^2 + 7*a^2*z^2 - 
   5*a^4*z^2 + 9*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 
   9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54081] -> 2*a^2 - a^4 + 3*z^2 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54082] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + z^2/a^8 - (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + 
   (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54083] -> 2 - a^(-6) + a^(-4) - a^2 + 
   6*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + z^4/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 54084] -> -1 - a^(-6) + 3/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - z^2/a^4 + (10*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - 
   (10*z^4)/a^6 + z^4/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (5*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54085] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + (5*z^2)/a^10 - (14*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 54086] -> 
  2/a^10 - 8/a^8 + 8/a^6 - a^(-4) - (8*z^2)/a^8 + (16*z^2)/a^6 - 
   (4*z^2)/a^4 + z^2/a^2 - (2*z^4)/a^10 + (3*z^4)/a^8 + (9*z^4)/a^6 - 
   (7*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54087] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + (5*z^2)/a^10 - (14*z^2)/a^8 + 
   (11*z^2)/a^6 + z^2/a^4 + (2*z^4)/a^12 - (3*z^4)/a^10 - (7*z^4)/a^8 + 
   (10*z^4)/a^6 - (2*z^4)/a^4 + z^6/a^12 - (6*z^6)/a^10 + z^6/a^8 + 
   (7*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (3*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 54088] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 + (7*z^2)/a^16 - 
   (25*z^2)/a^14 + (5*z^2)/a^12 + (24*z^2)/a^10 + z^2/a^8 - (20*z^4)/a^14 + 
   (19*z^4)/a^12 + (35*z^4)/a^10 + (3*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + 
   (18*z^6)/a^12 + (22*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + 
   (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54089] -> 
  -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 8*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (8*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54090] -> 6 - 3/a^2 - a^2 - a^4 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 3*z^4 + z^4/a^6 + 
   (3*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 3*z^6 + z^6/a^6 - 
   (8*z^6)/a^2 + 3*a^2*z^6 - 2*z^8 - z^8/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 54091] -> a^(-14) - 2/a^12 - a^(-10) + a^(-8) + 
   2/a^6 - z^2/a^14 - (2*z^2)/a^12 + (2*z^2)/a^10 + z^2/a^8 + (7*z^2)/a^6 - 
   (3*z^4)/a^14 + (7*z^4)/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (8*z^6)/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 + (5*z^6)/a^6 + 
   (2*z^8)/a^12 - (4*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - 
   z^10/a^8, Knot[15, Alternating, 54092] -> 2/a^10 - 8/a^8 + 8/a^6 - 
   a^(-4) - (8*z^2)/a^8 + (16*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 - 
   (2*z^4)/a^10 + (3*z^4)/a^8 + (9*z^4)/a^6 - (7*z^4)/a^4 + (3*z^4)/a^2 - 
   z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54093] -> -a^(-18) + 8/a^16 - 17/a^14 + 9/a^12 + 
   2/a^10 - z^2/a^18 + (15*z^2)/a^16 - (55*z^2)/a^14 + (44*z^2)/a^12 + 
   (11*z^2)/a^10 + (4*z^4)/a^16 - (53*z^4)/a^14 + (76*z^4)/a^12 + 
   (21*z^4)/a^10 - (3*z^6)/a^16 - (15*z^6)/a^14 + (60*z^6)/a^12 + 
   (18*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 54094] -> 
  -a^(-18) + 7/a^16 - 13/a^14 + 4/a^12 + 4/a^10 + (6*z^2)/a^16 - 
   (26*z^2)/a^14 + (11*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - 
   (16*z^4)/a^14 + (20*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54095] -> 
  -3 + a^(-8) - 4/a^6 + a^(-4) + 6/a^2 - 8*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + 
   (8*z^4)/a^4 + (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (8*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54096] -> -a^(-18) + 6/a^16 - 9/a^14 - 
   a^(-12) + 6/a^10 + (7*z^2)/a^16 - (25*z^2)/a^14 + (5*z^2)/a^12 + 
   (24*z^2)/a^10 + z^2/a^8 - (20*z^4)/a^14 + (19*z^4)/a^12 + (35*z^4)/a^10 + 
   (3*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (18*z^6)/a^12 + (22*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54097] -> a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (10*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^10 + 
   (4*z^4)/a^8 + (2*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 - (4*z^6)/a^6 - (9*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54098] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^10 + 
   (10*z^2)/a^6 - (15*z^2)/a^4 + (7*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (7*z^4)/a^6 - (20*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54099] -> -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - 
   (9*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + z^6/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54100] -> -9 - 4/a^4 + 11/a^2 + 3*a^2 - 
   25*z^2 - (2*z^2)/a^6 + (19*z^2)/a^2 + 9*a^2*z^2 - 28*z^4 - (3*z^4)/a^6 + 
   (9*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 17*z^6 - z^6/a^6 + (8*z^6)/a^4 - 
   (3*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 54101] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + (2*z^2)/a^12 - z^2/a^10 - (18*z^2)/a^8 + 
   (29*z^2)/a^6 - (7*z^2)/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 - (8*z^4)/a^8 + 
   (30*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + (3*z^6)/a^8 + 
   (17*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (6*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 54102] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - z^2/a^10 + (10*z^2)/a^6 - (15*z^2)/a^4 + 
   (7*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (7*z^4)/a^6 - (20*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - (13*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54103] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - (9*z^2)/a^4 + (17*z^2)/a^2 - 7*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + (20*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + z^6/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54104] -> 
  -5 + a^(-6) - 6/a^4 + 10/a^2 + a^2 - 17*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + 
   (29*z^2)/a^2 + 3*a^2*z^2 - 18*z^4 - (11*z^4)/a^4 + (31*z^4)/a^2 + 
   3*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + (16*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54105] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 + 3*z^4 + (4*z^4)/a^4 - (9*z^4)/a^2 - 
   2*a^2*z^4 + 22*z^6 + (4*z^6)/a^4 - (20*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 54106] -> -9*a^2 + 30*a^4 - 29*a^6 + 9*a^8 - 
   24*a^2*z^2 + 88*a^4*z^2 - 88*a^6*z^2 + 27*a^8*z^2 - 22*a^2*z^4 + 
   104*a^4*z^4 - 119*a^6*z^4 + 35*a^8*z^4 - 8*a^2*z^6 + 62*a^4*z^6 - 
   91*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 18*a^4*z^8 - 41*a^6*z^8 + 8*a^8*z^8 + 
   2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 54107] -> -3 + 5*a^2 + 7*a^4 - 13*a^6 + 5*a^8 - 
   7*z^2 + 16*a^2*z^2 + 13*a^4*z^2 - 33*a^6*z^2 + 13*a^8*z^2 - 5*z^4 + 
   20*a^2*z^4 + 4*a^4*z^4 - 36*a^6*z^4 + 13*a^8*z^4 - z^6 + 11*a^2*z^6 - 
   6*a^4*z^6 - 21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 54108] -> 
  -a^(-2) + 5*a^2 - 6*a^6 + 3*a^8 + 2*z^2 - (2*z^2)/a^2 + 11*a^2*z^2 - 
   5*a^4*z^2 - 11*a^6*z^2 + 6*a^8*z^2 + 4*z^4 - z^4/a^2 + 7*a^2*z^4 - 
   10*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 54109] -> 
  -3 - 4/a^4 + 8/a^2 - 7*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 
   12*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54110] -> 
  -3 + 2/a^6 - 8/a^4 + 10/a^2 - 12*z^2 + z^2/a^6 - (12*z^2)/a^4 + 
   (23*z^2)/a^2 + 2*a^2*z^2 - 17*z^4 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (21*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - z^6/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54111] -> -1 + a^(-6) - 4/a^4 + 5/a^2 + 4*z^2 + 
   z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 14*z^4 - (2*z^4)/a^6 + (17*z^4)/a^4 - 
   (34*z^4)/a^2 + 14*z^6 - (3*z^6)/a^6 + (22*z^6)/a^4 - (45*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (11*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54112] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 2*z^2 + z^2/a^6 + z^2/a^4 - (5*z^2)/a^2 + 
   a^2*z^2 - 7*z^4 - z^4/a^6 + (5*z^4)/a^4 - (7*z^4)/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (6*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54113] -> 13 - 4/a^2 - 12*a^2 + 4*a^4 + 42*z^2 - 
   (10*z^2)/a^2 - 50*a^2*z^2 + 18*a^4*z^2 + 58*z^4 - (10*z^4)/a^2 - 
   84*a^2*z^4 + 28*a^4*z^4 + 40*z^6 - (5*z^6)/a^2 - 73*a^2*z^6 + 20*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 35*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54114] -> 
  -1 - 2/a^4 + 4/a^2 + 6*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - (13*z^2)/a^2 + 
   17*z^4 - (6*z^4)/a^6 + (32*z^4)/a^4 - (46*z^4)/a^2 + 15*z^6 - 
   (4*z^6)/a^6 + (29*z^6)/a^4 - (51*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54115] -> -1 + 3*a^2 - a^6 - z^2 - 
   a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 2*z^4 + z^4/a^2 - 5*a^2*z^4 + 
   19*a^4*z^4 - 7*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54116] -> -2*a^6 + 14*a^8 - 16*a^10 + 5*a^12 - 
   4*a^4*z^2 + 2*a^6*z^2 + 38*a^8*z^2 - 37*a^10*z^2 + 8*a^12*z^2 - 
   8*a^4*z^4 + 8*a^6*z^4 + 48*a^8*z^4 - 36*a^10*z^4 + 5*a^12*z^4 - 
   5*a^4*z^6 + 9*a^6*z^6 + 34*a^8*z^6 - 17*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 54117] -> 2 - 2*a^2 + a^4 + 17*z^2 - (2*z^2)/a^2 - 
   29*a^2*z^2 + 13*a^4*z^2 + 36*z^4 - (5*z^4)/a^2 - 66*a^2*z^4 + 24*a^4*z^4 + 
   32*z^6 - (4*z^6)/a^2 - 66*a^2*z^6 + 19*a^4*z^6 + 13*z^8 - z^8/a^2 - 
   34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54118] -> 4 + 3/a^4 - 6/a^2 + 11*z^2 - z^2/a^6 + 
   (13*z^2)/a^4 - (26*z^2)/a^2 + 18*z^4 - (3*z^4)/a^6 + (25*z^4)/a^4 - 
   (50*z^4)/a^2 + 15*z^6 - (3*z^6)/a^6 + (24*z^6)/a^4 - (51*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (11*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54119] -> 
  14 - 4/a^2 - 14*a^2 + 5*a^4 + 53*z^2 - (12*z^2)/a^2 - 67*a^2*z^2 + 
   25*a^4*z^2 + 75*z^4 - (13*z^4)/a^2 - 112*a^2*z^4 + 37*a^4*z^4 + 50*z^6 - 
   (6*z^6)/a^2 - 93*a^2*z^6 + 25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54120] -> -a^(-4) + 2/a^2 + 10*z^2 - (4*z^2)/a^6 + 
   (18*z^2)/a^4 - (23*z^2)/a^2 + 23*z^4 - (8*z^4)/a^6 + (43*z^4)/a^4 - 
   (64*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (66*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54121] -> 
  -3*a^6 + 16*a^8 - 17*a^10 + 5*a^12 - 2*a^4*z^2 - 8*a^6*z^2 + 53*a^8*z^2 - 
   43*a^10*z^2 + 8*a^12*z^2 - 5*a^4*z^4 - 5*a^6*z^4 + 67*a^8*z^4 - 
   41*a^10*z^4 + 5*a^12*z^4 - 4*a^4*z^6 + 3*a^6*z^6 + 42*a^8*z^6 - 
   18*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 14*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 54122] -> 
  -4*a^2 + 17*a^4 - 18*a^6 + 6*a^8 - 12*a^2*z^2 + 55*a^4*z^2 - 65*a^6*z^2 + 
   23*a^8*z^2 - 13*a^2*z^4 + 73*a^4*z^4 - 104*a^6*z^4 + 34*a^8*z^4 - 
   6*a^2*z^6 + 49*a^4*z^6 - 88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 54123] -> -2 + 6*a^2 - 6*a^6 + 3*a^8 - 5*z^2 + 
   16*a^2*z^2 + a^4*z^2 - 24*a^6*z^2 + 12*a^8*z^2 - 4*z^4 + 18*a^2*z^4 - 
   4*a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - z^6 + 10*a^2*z^6 - 8*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 54124] -> 
  3 - 4*a^2 + 2*a^4 + 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 16*a^2*z^2 + 
   8*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 
   6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54125] -> 14 - 4/a^2 - 13*a^2 + 3*a^4 + a^6 + 33*z^2 - 
   (8*z^2)/a^2 - 30*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 + 31*z^4 - (5*z^4)/a^2 - 
   32*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 + 13*z^6 - z^6/a^2 - 20*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 54126] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - z^2/a^2 + 
   6*a^2*z^2 - 18*z^4 - (3*z^4)/a^6 + (14*z^4)/a^4 - (9*z^4)/a^2 + 
   9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 
   6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54127] -> -5 - 4/a^6 + 8/a^4 - a^(-2) + 3*a^2 - 
   19*z^2 - (8*z^2)/a^6 + (26*z^2)/a^4 - (9*z^2)/a^2 + 11*a^2*z^2 - 28*z^4 - 
   (5*z^4)/a^6 + (27*z^4)/a^4 - (16*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (12*z^6)/a^4 - (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54128] -> 
  2/a^8 - 12/a^6 + 17/a^4 - 6/a^2 + (9*z^2)/a^8 - (48*z^2)/a^6 + 
   (73*z^2)/a^4 - (27*z^2)/a^2 + (12*z^4)/a^8 - (71*z^4)/a^6 + 
   (116*z^4)/a^4 - (38*z^4)/a^2 + (6*z^6)/a^8 - (49*z^6)/a^6 + (94*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 54129] -> 2/a^8 - 11/a^6 + 15/a^4 - 5/a^2 - 6*z^2 + 
   (5*z^2)/a^8 - (25*z^2)/a^6 + (32*z^2)/a^4 - 9*z^4 + (4*z^4)/a^8 - 
   (24*z^4)/a^6 + (30*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (11*z^6)/a^6 + (17*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54130] -> -a^(-18) + 5/a^16 - 9/a^14 + 2/a^12 + 
   4/a^10 - z^2/a^18 + (8*z^2)/a^16 - (29*z^2)/a^14 + (17*z^2)/a^12 + 
   (20*z^2)/a^10 - z^4/a^16 - (24*z^4)/a^14 + (38*z^4)/a^12 + (33*z^4)/a^10 - 
   (4*z^6)/a^16 - (2*z^6)/a^14 + (35*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + 
   (4*z^8)/a^14 + (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54131] -> -a^(-18) + 5/a^16 - 8/a^14 + 
   5/a^10 + (3*z^2)/a^16 - (15*z^2)/a^14 + (3*z^2)/a^12 + (19*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (8*z^4)/a^14 + (13*z^4)/a^12 + 
   (26*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (12*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54132] -> 1 - 2/a^4 + 3/a^2 - a^2 + 
   26*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 11*a^2*z^2 + 65*z^4 + (8*z^4)/a^4 - 
   (42*z^4)/a^2 - 23*a^2*z^4 + 66*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54133] -> 
  -2 + 2/a^8 - 10/a^6 + 11/a^4 - 7*z^2 + (5*z^2)/a^8 - (25*z^2)/a^6 + 
   (30*z^2)/a^4 + (4*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (28*z^4)/a^6 + 
   (38*z^4)/a^4 + (10*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (29*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 54134] -> 
  13 - 4/a^2 - 12*a^2 + 4*a^4 + 48*z^2 - (12*z^2)/a^2 - 56*a^2*z^2 + 
   20*a^4*z^2 + 67*z^4 - (13*z^4)/a^2 - 91*a^2*z^4 + 29*a^4*z^4 + 45*z^6 - 
   (6*z^6)/a^2 - 75*a^2*z^6 + 20*a^4*z^6 + 15*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54135] -> -1 - 2/a^4 + 4/a^2 + 5*z^2 - (4*z^2)/a^6 + 
   (13*z^2)/a^4 - (12*z^2)/a^2 + 15*z^4 - (8*z^4)/a^6 + (35*z^4)/a^4 - 
   (43*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (48*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54136] -> 
  -4 - 4/a^6 + 8/a^4 - a^(-2) + a^2 + a^4 - 15*z^2 - (4*z^2)/a^6 + 
   (14*z^2)/a^4 + z^2/a^2 + 4*a^4*z^2 - 18*z^4 - z^4/a^6 + (9*z^4)/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 54137] -> -1 - 2/a^4 + 4/a^2 + z^2 + z^2/a^4 - 
   (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 
   15*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 14*a^2*z^6 - 
   5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54138] -> -1 + 3*a^2 - a^6 - z^2 + a^2*z^2 + 
   6*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - a^2*z^4 + 14*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54139] -> 13 + 2/a^4 - 9/a^2 - 5*a^2 + 46*z^2 + 
   (7*z^2)/a^4 - (33*z^2)/a^2 - 17*a^2*z^2 + 76*z^4 + (9*z^4)/a^4 - 
   (50*z^4)/a^2 - 25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54140] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 3*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   17*a^2*z^2 - 8*a^4*z^2 + 6*z^4 + (3*z^4)/a^4 - (13*z^4)/a^2 + 21*a^2*z^4 - 
   9*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 
   5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54141] -> -a^(-4) + 2/a^2 + (2*z^2)/a^8 - 
   (10*z^2)/a^6 + (14*z^2)/a^4 - (5*z^2)/a^2 + (5*z^4)/a^8 - (27*z^4)/a^6 + 
   (41*z^4)/a^4 - (15*z^4)/a^2 + (4*z^6)/a^8 - (27*z^6)/a^6 + (47*z^6)/a^4 - 
   (14*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 54142] -> 1 - 3*z^2 + z^2/a^8 - (4*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (6*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (7*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54143] -> 12 - 4/a^2 - 10*a^2 + 3*a^4 + 
   38*z^2 - (10*z^2)/a^2 - 41*a^2*z^2 + 14*a^4*z^2 + 54*z^4 - (10*z^4)/a^2 - 
   72*a^2*z^4 + 24*a^4*z^4 + 39*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54144] -> 
  -2 - 3/a^4 + 6/a^2 + 2*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 
   13*z^4 - (6*z^4)/a^6 + (28*z^4)/a^4 - (34*z^4)/a^2 + 14*z^6 - 
   (4*z^6)/a^6 + (28*z^6)/a^4 - (45*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54145] -> a^2 + a^4 - a^6 + z^2 - 
   6*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - z^4 + z^4/a^2 - 9*a^2*z^4 + 
   20*a^4*z^4 - 7*a^6*z^4 - 4*z^6 + z^6/a^2 - 2*a^2*z^6 + 14*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54146] -> -5 - 4/a^4 + 9/a^2 + a^2 - 12*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 - 13*z^4 - 
   (3*z^4)/a^6 + (16*z^4)/a^4 - (10*z^4)/a^2 + 8*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (13*z^6)/a^4 - (20*z^6)/a^2 + 5*a^2*z^6 - 5*z^8 + (3*z^8)/a^4 - 
   (11*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 54147] -> -2 + 6*a^2 - 3*a^4 - z^2 - 3*a^2*z^2 + 
   15*a^4*z^2 - 8*a^6*z^2 + 4*z^4 - 27*a^2*z^4 + 52*a^4*z^4 - 20*a^6*z^4 + 
   4*z^6 - 30*a^2*z^6 + 60*a^4*z^6 - 18*a^6*z^6 + z^8 - 13*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 54148] -> -a^(-8) + a^(-6) + a^(-2) - z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (5*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (10*z^4)/a^8 - (6*z^4)/a^6 - (10*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (10*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54149] -> 3 - a^(-2) - a^2 + 14*z^2 + z^2/a^4 - 
   (8*z^2)/a^2 - 6*a^2*z^2 + 37*z^4 + (3*z^4)/a^4 - (21*z^4)/a^2 - 
   14*a^2*z^4 + 45*z^6 + (3*z^6)/a^4 - (23*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 54150] -> -4 - 2/a^4 + 6/a^2 + a^4 - 11*z^2 - 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 9*a^2*z^2 + 7*a^4*z^2 - 15*z^4 - 
   (3*z^4)/a^4 + (18*z^4)/a^2 - 19*a^2*z^4 + 10*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54151] -> 
  3 - 4/a^6 + 10/a^4 - 8/a^2 + 12*z^2 - (9*z^2)/a^6 + (34*z^2)/a^4 - 
   (35*z^2)/a^2 + 19*z^4 - (10*z^4)/a^6 + (48*z^4)/a^4 - (60*z^4)/a^2 + 
   15*z^6 - (5*z^6)/a^6 + (35*z^6)/a^4 - (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54152] -> 21 + 2/a^4 - 13/a^2 - 9*a^2 + 
   80*z^2 + (9*z^2)/a^4 - (51*z^2)/a^2 - 31*a^2*z^2 + 123*z^4 + 
   (10*z^4)/a^4 - (70*z^4)/a^2 - 41*a^2*z^4 + 98*z^6 + (5*z^6)/a^4 - 
   (46*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - (15*z^8)/a^2 - 8*a^2*z^8 + 
   10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54153] -> 
  16 + a^(-4) - 9/a^2 - 7*a^2 + 39*z^2 + (3*z^2)/a^6 - (8*z^2)/a^4 - 
   (11*z^2)/a^2 - 17*a^2*z^2 + 41*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + 
   (2*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (9*z^6)/a^4 + (9*z^6)/a^2 - 
   6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54154] -> 4 - 4/a^6 + 11/a^4 - 10/a^2 + 18*z^2 - 
   (12*z^2)/a^6 + (46*z^2)/a^4 - (51*z^2)/a^2 + 28*z^4 - (13*z^4)/a^6 + 
   (66*z^4)/a^4 - (87*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54155] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 11*z^2 - (4*z^2)/a^4 + (15*z^2)/a^2 - 
   5*a^2*z^2 + 5*a^4*z^2 - 13*z^4 - (3*z^4)/a^4 + (17*z^4)/a^2 - 16*a^2*z^4 + 
   9*a^4*z^4 - 11*z^6 - z^6/a^4 + (9*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54156] -> 19 + 2/a^4 - 12/a^2 - 8*a^2 + 64*z^2 + 
   (6*z^2)/a^4 - (39*z^2)/a^2 - 25*a^2*z^2 + 96*z^4 + (7*z^4)/a^4 - 
   (52*z^4)/a^2 - 32*a^2*z^4 + 78*z^6 + (4*z^6)/a^4 - (36*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54157] -> 
  2 - 4/a^6 + 11/a^4 - 9/a^2 + a^2 - 6*z^2 - (6*z^2)/a^6 + (23*z^2)/a^4 - 
   (17*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - (4*z^4)/a^6 + (21*z^4)/a^4 - 
   (16*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 54158] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 7*z^2 - z^2/a^4 + (6*z^2)/a^2 - 3*a^2*z^2 + 
   4*a^4*z^2 - 5*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 15*a^2*z^4 + 7*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54159] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - z^2 - 
   2*a^2*z^2 + 23*a^4*z^2 - 29*a^6*z^2 + 10*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 
   15*a^4*z^4 - 31*a^6*z^4 + 10*a^8*z^4 - z^6 + 6*a^2*z^6 + a^4*z^6 - 
   18*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 54160] -> 
  1 - a^(-12) + 4/a^10 - 8/a^8 + 10/a^6 - 7/a^4 + 2/a^2 + 2*z^2 + 
   (5*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - (18*z^2)/a^4 + (2*z^2)/a^2 + 
   2*z^4 - (10*z^4)/a^8 + (23*z^4)/a^6 - (20*z^4)/a^4 - z^4/a^2 + z^6 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54161] -> 5 - 4/a^6 + 12/a^4 - 12/a^2 + 20*z^2 - 
   (12*z^2)/a^6 + (48*z^2)/a^4 - (56*z^2)/a^2 + 29*z^4 - (13*z^4)/a^6 + 
   (67*z^4)/a^4 - (91*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54162] -> 
  -4/a^6 + 11/a^4 - 8/a^2 + 2*a^2 - 11*z^2 - (6*z^2)/a^6 + (23*z^2)/a^4 - 
   (15*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - (4*z^4)/a^6 + (21*z^4)/a^4 - 
   (15*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 54163] -> 
  -2*a^2 + 10*a^4 - 10*a^6 + 3*a^8 - z^2 - 2*a^2*z^2 + 22*a^4*z^2 - 
   26*a^6*z^2 + 9*a^8*z^2 - 2*z^4 + 4*a^2*z^4 + 15*a^4*z^4 - 30*a^6*z^4 + 
   10*a^8*z^4 - z^6 + 6*a^2*z^6 + a^4*z^6 - 18*a^6*z^6 + 5*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 54164] -> 8*a^8 - 10*a^10 + 3*a^12 - 4*a^4*z^2 + 
   7*a^6*z^2 + 21*a^8*z^2 - 20*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 
   16*a^6*z^4 + 21*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   13*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 54165] -> 21 + 2/a^4 - 13/a^2 - 9*a^2 + 67*z^2 + 
   (6*z^2)/a^4 - (40*z^2)/a^2 - 26*a^2*z^2 + 97*z^4 + (7*z^4)/a^4 - 
   (52*z^4)/a^2 - 32*a^2*z^4 + 78*z^6 + (4*z^6)/a^4 - (36*z^6)/a^2 - 
   21*a^2*z^6 + 36*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54166] -> 
  2/a^8 - 12/a^6 + 17/a^4 - 6/a^2 + (7*z^2)/a^8 - (38*z^2)/a^6 + 
   (59*z^2)/a^4 - (21*z^2)/a^2 + (9*z^4)/a^8 - (54*z^4)/a^6 + (89*z^4)/a^4 - 
   (29*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + (74*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54167] -> 
  -3 - 2/a^6 + 6/a^2 - 9*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + (6*z^2)/a^4 + 
   (17*z^2)/a^2 - 10*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + (12*z^4)/a^4 + 
   (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (11*z^6)/a^4 + 
   (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54168] -> -6 - a^(-4) + 4/a^2 + 8*a^2 - 
   6*a^4 + 2*a^6 - 15*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 18*a^2*z^2 - 
   13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - z^4/a^4 + (8*z^4)/a^2 + 18*a^2*z^4 - 
   12*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 10*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 54169] -> 4 - 4/a^6 + 11/a^4 - 10/a^2 + 13*z^2 - 
   (9*z^2)/a^6 + (35*z^2)/a^4 - (38*z^2)/a^2 + 19*z^4 - (10*z^4)/a^6 + 
   (48*z^4)/a^4 - (61*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + (35*z^6)/a^4 - 
   (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54170] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 24*z^2 + (2*z^2)/a^4 - (12*z^2)/a^2 - 
   10*a^2*z^2 + 52*z^4 + (6*z^4)/a^4 - (32*z^4)/a^2 - 18*a^2*z^4 + 52*z^6 + 
   (4*z^6)/a^4 - (29*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54171] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 7*z^2 - 
   z^2/a^4 + (5*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 12*a^2*z^4 + 6*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 54172] -> 
  23 + 2/a^4 - 14/a^2 - 10*a^2 + 85*z^2 + (9*z^2)/a^4 - (53*z^2)/a^2 - 
   33*a^2*z^2 + 127*z^4 + (10*z^4)/a^4 - (71*z^4)/a^2 - 42*a^2*z^4 + 99*z^6 + 
   (5*z^6)/a^4 - (46*z^6)/a^2 - 26*a^2*z^6 + 43*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 8*a^2*z^8 + 10*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54173] -> 1 - 2/a^4 + 3/a^2 - a^2 + 15*z^2 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 - 6*a^2*z^2 + 40*z^4 + (6*z^4)/a^4 - 
   (28*z^4)/a^2 - 14*a^2*z^4 + 46*z^6 + (4*z^6)/a^4 - (28*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54174] -> 
  -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 3*a^4*z^2 + 4*a^6*z^2 + 25*a^8*z^2 - 
   21*a^10*z^2 + 3*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 13*a^6*z^4 + 23*a^8*z^4 - 
   14*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 12*a^6*z^6 + 11*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 54175] -> 2/a^8 - 13/a^6 + 19/a^4 - 7/a^2 + 
   (7*z^2)/a^8 - (42*z^2)/a^6 + (68*z^2)/a^4 - (25*z^2)/a^2 + (9*z^4)/a^8 - 
   (58*z^4)/a^6 + (101*z^4)/a^4 - (33*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + 
   (80*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 54176] -> -3 - 3/a^6 + 2/a^4 + 5/a^2 - 10*z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (10*z^2)/a^4 + (17*z^2)/a^2 - 11*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (15*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54177] -> 15 - 7/a^2 - 7*a^2 + 37*z^2 + (3*z^2)/a^6 - 
   (10*z^2)/a^4 - (6*z^2)/a^2 - 17*a^2*z^2 + 40*z^4 + (3*z^4)/a^6 - 
   (16*z^4)/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 23*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 - 6*a^2*z^6 + 7*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54178] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (10*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 - (3*z^4)/a^4 + 
   (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - (7*z^6)/a^6 + z^6/a^4 + (12*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54179] -> 8*a^8 - 10*a^10 + 3*a^12 - 2*a^4*z^2 + 
   a^6*z^2 + 29*a^8*z^2 - 26*a^10*z^2 + 5*a^12*z^2 - 5*a^4*z^4 + 3*a^6*z^4 + 
   41*a^8*z^4 - 28*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 5*a^6*z^6 + 
   30*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 12*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 54180] -> 
  -1 + a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + (3*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54181] -> 
  -a^(-4) + 2/a^2 - 2*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - z^4/a^4 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54182] -> 
  a^(-4) - a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54183] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 35*z^2 - 
   (5*z^2)/a^2 - 57*a^2*z^2 + 24*a^4*z^2 + 58*z^4 - (8*z^4)/a^2 - 
   106*a^2*z^4 + 37*a^4*z^4 + 43*z^6 - (5*z^6)/a^2 - 92*a^2*z^6 + 
   25*a^4*z^6 + 15*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54184] -> 
  2 + a^(-2) - 5*a^2 + 3*a^4 + z^2 - z^2/a^4 + (7*z^2)/a^2 - 24*a^2*z^2 + 
   13*a^4*z^2 - 7*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 - 34*a^2*z^4 + 
   14*a^4*z^4 - 10*z^6 - z^6/a^4 + (8*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54185] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   (2*z^2)/a^16 - (5*z^2)/a^14 + z^2/a^12 + (17*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^4)/a^16 - (4*z^4)/a^14 + (15*z^4)/a^12 + (28*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (15*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54186] -> -2/a^12 + 2/a^10 + a^(-4) - z^2/a^14 - 
   z^2/a^12 + (8*z^2)/a^10 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 - (7*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 54187] -> 1 + z^2 + z^2/a^8 - (3*z^2)/a^6 + 
   (2*z^2)/a^4 - a^2*z^2 + 2*z^4 + z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 + 
   (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (2*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54188] -> 
  2*a^2 - a^4 - 2*z^2 + 8*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 + a^8*z^2 - z^4 - 
   z^4/a^2 + 10*a^2*z^4 - 11*a^4*z^4 + a^8*z^4 + 2*z^6 + 4*a^2*z^6 - 
   7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54189] -> -2 + 7*a^2 - 5*a^4 + a^6 - 8*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 17*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + 
   (6*z^4)/a^2 + 21*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 
   14*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 54190] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   8*z^2 - z^2/a^4 + (4*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 11*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 54191] -> 
  a^(-14) - 6/a^12 + 5/a^10 + a^(-8) - (4*z^2)/a^14 - (7*z^2)/a^12 + 
   (18*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - (4*z^4)/a^14 + (5*z^4)/a^12 + 
   (23*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + 
   (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54192] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - (2*z^2)/a^14 + z^2/a^12 + (6*z^2)/a^10 - 
   (5*z^2)/a^8 + (8*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (6*z^4)/a^12 + 
   (3*z^4)/a^10 - (7*z^4)/a^8 + (6*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - 
   (3*z^6)/a^10 - (8*z^6)/a^8 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 54193] -> -2/a^12 + 2/a^10 + a^(-4) - 
   (2*z^2)/a^14 + z^2/a^12 + (5*z^2)/a^10 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (6*z^4)/a^12 + (3*z^4)/a^10 - (5*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54194] -> -3/a^12 + 2/a^10 + 2/a^8 - (5*z^2)/a^14 - 
   (2*z^2)/a^12 + (12*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^16 - (4*z^4)/a^14 + 
   (7*z^4)/a^12 + (19*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54195] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (7*z^4)/a^6 + (8*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (7*z^6)/a^6 - 
   (2*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54196] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2 + z^2/a^8 - (2*z^2)/a^6 + z^2/a^4 + 
   z^2/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54197] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 7*z^2 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   z^4/a^6 + z^4/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54198] -> 
  3*a^4 - 2*a^6 - z^2 + 10*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 
   5*a^2*z^4 + 9*a^4*z^4 - 15*a^6*z^4 + 5*a^8*z^4 - z^6 + 7*a^2*z^6 + 
   a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 54199] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 5*a^2*z^2 + a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 
   z^4/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 54200] -> -2 + a^(-6) - 3/a^4 + 4/a^2 + 
   a^2 - 7*z^2 - z^2/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^6 + 
   (5*z^4)/a^4 + (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54201] -> 
  -a^2 + 10*a^4 - 13*a^6 + 5*a^8 - 6*a^2*z^2 + 40*a^4*z^2 - 58*a^6*z^2 + 
   23*a^8*z^2 - 11*a^2*z^4 + 63*a^4*z^4 - 102*a^6*z^4 + 34*a^8*z^4 - 
   6*a^2*z^6 + 47*a^4*z^6 - 88*a^6*z^6 + 24*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 
   41*a^6*z^8 + 8*a^8*z^8 + 2*a^4*z^10 - 10*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 54202] -> 2*a^2 + 2*a^4 - 6*a^6 + 3*a^8 - z^2 + 
   7*a^2*z^2 + 3*a^4*z^2 - 23*a^6*z^2 + 12*a^8*z^2 - 3*z^4 + 12*a^2*z^4 - 
   4*a^4*z^4 - 33*a^6*z^4 + 13*a^8*z^4 - z^6 + 9*a^2*z^6 - 8*a^4*z^6 - 
   21*a^6*z^6 + 6*a^8*z^6 + 2*a^2*z^8 - 5*a^4*z^8 - 7*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 54203] -> 
  1 + a^2 - 3*a^6 + 2*a^8 + z^2 + 4*a^2*z^2 - 6*a^4*z^2 - 8*a^6*z^2 + 
   6*a^8*z^2 + 2*z^4 - z^4/a^2 + 3*a^2*z^4 - 12*a^4*z^4 - 9*a^6*z^4 + 
   4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 54204] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 26*z^2 - (5*z^2)/a^2 - 38*a^2*z^2 + 
   15*a^4*z^2 + 46*z^4 - (8*z^4)/a^2 - 73*a^2*z^4 + 25*a^4*z^4 + 37*z^6 - 
   (5*z^6)/a^2 - 68*a^2*z^6 + 19*a^4*z^6 + 14*z^8 - z^8/a^2 - 34*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54205] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 16*a^2*z^2 + 8*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 54206] -> 
  17 + 2/a^4 - 11/a^2 - 7*a^2 + 54*z^2 + (7*z^2)/a^4 - (36*z^2)/a^2 - 
   20*a^2*z^2 + 85*z^4 + (9*z^4)/a^4 - (53*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54207] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 3*z^2 + 
   (3*z^2)/a^8 - (15*z^2)/a^6 + (19*z^2)/a^4 - 6*z^4 + (3*z^4)/a^8 - 
   (14*z^4)/a^6 + (14*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (8*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54208] -> 8*a^8 - 10*a^10 + 3*a^12 - 3*a^4*z^2 + 
   6*a^6*z^2 + 20*a^8*z^2 - 19*a^10*z^2 + 3*a^12*z^2 - 6*a^4*z^4 + 
   13*a^6*z^4 + 20*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 - 2*a^4*z^6 + 
   11*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 54209] -> a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 - 
   z^2/a^4 - (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - a^4*z^4 + z^6 + z^6/a^6 - 
   z^6/a^4 - (3*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54210] -> -a^(-4) + 2/a^2 - z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + 
   (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + 
   (3*z^6)/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54211] -> -a^(-6) + a^(-4) + a^(-2) + z^2/a^8 - 
   (2*z^2)/a^6 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + z^4/a^8 - (2*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54212] -> 1 - 5*z^2 - z^2/a^6 + z^2/a^4 + 
   (3*z^2)/a^2 + 2*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (4*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54213] -> 5*a^4 - 6*a^6 + 2*a^8 - z^2 + 2*a^2*z^2 + 
   11*a^4*z^2 - 19*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 5*a^4*z^4 - 
   25*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 54214] -> 2*a^2 - 2*a^6 + a^8 - z^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 + 
   5*a^2*z^4 - 7*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54215] -> 7 - a^(-2) - 8*a^2 + 2*a^4 + a^6 + 22*z^2 - 
   (4*z^2)/a^2 - 25*a^2*z^2 - 6*a^4*z^2 + 9*a^6*z^2 + 25*z^4 - (4*z^4)/a^2 - 
   31*a^2*z^4 - 20*a^4*z^4 + 12*a^6*z^4 + 12*z^6 - z^6/a^2 - 20*a^2*z^6 - 
   18*a^4*z^6 + 6*a^6*z^6 + 2*z^8 - 7*a^2*z^8 - 7*a^4*z^8 + a^6*z^8 - 
   a^2*z^10 - a^4*z^10, Knot[15, Alternating, 54216] -> 
  2 + a^(-2) - 4*a^2 + a^4 + a^6 + 3*z^2 - z^2/a^4 + (4*z^2)/a^2 - 
   14*a^2*z^2 - 2*a^4*z^2 + 5*a^6*z^2 - z^4/a^4 + (5*z^4)/a^2 - 17*a^2*z^4 - 
   6*a^4*z^4 + 4*a^6*z^4 - 2*z^6 + (2*z^6)/a^2 - 9*a^2*z^6 - 4*a^4*z^6 + 
   a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 54217] -> 
  -1 + a^(-2) + a^2 - z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   2*a^4*z^2 + (3*z^4)/a^4 - (8*z^4)/a^2 + 8*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54218] -> 
  -a^(-4) + 2/a^2 - 2*z^2 + (4*z^2)/a^8 - (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54219] -> 
  -a^(-4) + 2/a^2 - 8*z^2 - z^2/a^6 + (7*z^2)/a^2 + 3*a^2*z^2 - 15*z^4 - 
   (2*z^4)/a^6 + (5*z^4)/a^4 + (6*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54220] -> 
  -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^10 - z^2/a^8 + (11*z^2)/a^6 - 
   (5*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (6*z^4)/a^8 + (11*z^4)/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 + z^6/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54221] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) + z^2/a^10 - (10*z^2)/a^8 + 
   (20*z^2)/a^6 - (12*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^10 - (3*z^4)/a^8 + 
   (20*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54222] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 6*z^2 + 
   z^2/a^8 - (10*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 - (5*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (4*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54223] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 
   14*a^2*z^2 - 5*a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - (5*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 7*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54224] -> -1 + a^(-6) - 4/a^4 + 5/a^2 - 4*z^2 + 
   (3*z^2)/a^8 - (14*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - 
   (7*z^4)/a^6 - (17*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54225] -> a^(-6) - 3/a^4 + 3/a^2 + 2*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 3*z^4 + (2*z^4)/a^8 - 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54226] -> -6 - a^(-6) + a^(-4) + 4/a^2 + 3*a^2 - 
   20*z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 + 11*a^2*z^2 - 28*z^4 - 
   (3*z^4)/a^6 + (18*z^4)/a^4 - (13*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (14*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54227] -> 
  a^(-2) - a^2 + a^4 - z^2/a^4 + (5*z^2)/a^2 - 14*a^2*z^2 + 8*a^4*z^2 - 
   3*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 24*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54228] -> 
  -1 - 2/a^8 + 3/a^6 - 2/a^4 + 3/a^2 - 4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (7*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + z^4/a^8 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (4*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54229] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + z^4/a^8 - z^4/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54230] -> 
  -4 - a^(-6) - a^(-4) + 6/a^2 + a^2 - 15*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (20*z^2)/a^2 + 4*a^2*z^2 - 18*z^4 - z^4/a^6 - (5*z^4)/a^4 + (21*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54231] -> -3 - a^(-6) + 4/a^2 + a^2 - 3*z^2 + 
   (5*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 + (4*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 54232] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^10 - (2*z^2)/a^8 + (14*z^2)/a^6 - (6*z^2)/a^4 + 
   (2*z^2)/a^2 - (3*z^4)/a^10 + (6*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (7*z^6)/a^8 + z^6/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54233] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) + z^2 - z^2/a^10 - z^2/a^8 + 
   (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (6*z^4)/a^6 - z^4/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54234] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 7*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 8*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 10*a^2*z^4 + 6*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 54235] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (2*z^4)/a^4 + 
   (15*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54236] -> -a^(-4) + 2/a^2 + z^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - z^6/a^6 - (3*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 54237] -> 2 - a^(-2) + a^2 - a^4 + 7*z^2 - 
   z^2/a^4 - z^2/a^2 - 3*a^2*z^2 - a^4*z^2 + a^6*z^2 + 7*z^4 - z^4/a^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 - 2*a^4*z^4 + 2*a^6*z^4 + z^6 + (2*z^6)/a^2 - 
   5*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 54238] -> -2/a^12 + 2/a^10 + a^(-4) - (2*z^2)/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 + (2*z^2)/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (9*z^4)/a^12 - (5*z^4)/a^10 - (2*z^4)/a^8 + (2*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - (7*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54239] -> -3 + 2/a^2 + 2*a^2 - 6*z^2 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (6*z^4)/a^4 - (13*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54240] -> 1 + 2/a^4 - 3/a^2 + a^2 + 2*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + 2*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54241] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 10*z^2 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 - 6*z^4 + (3*z^4)/a^4 - 
   (9*z^4)/a^2 + 24*a^2*z^4 - 9*a^4*z^4 + 3*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   16*a^2*z^6 - 5*a^4*z^6 + 4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 54242] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 + z^2/a^6 + z^2/a^4 - (7*z^2)/a^2 + 
   9*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + z^4/a^6 - (2*z^4)/a^4 - (7*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54243] -> 
  -1 - a^(-8) + 2/a^6 - 3/a^4 + 4/a^2 - z^2 + (4*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 - a^2*z^2 + z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 + z^6/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 - 
   z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54244] -> 
  -a^(-12) + 2/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 + (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (9*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (3*z^4)/a^10 - (15*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - 
   (8*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 54245] -> -a^(-12) + a^(-10) - 2/a^8 + 
   3/a^6 - z^2/a^14 + (2*z^2)/a^12 + (3*z^2)/a^10 - (4*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 54246] -> 
  a^(-10) - 3/a^8 + 3/a^6 - 2/a^4 + 2/a^2 + z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (11*z^4)/a^6 - 
   (11*z^4)/a^4 - z^4/a^2 - z^6/a^10 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54247] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   z^4/a^10 + (3*z^4)/a^8 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^10 + z^6/a^8 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54248] -> -a^(-4) + 2/a^2 - 2*z^2 + z^2/a^8 - 
   z^2/a^6 - (3*z^2)/a^4 + (6*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (13*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (9*z^8)/a^4 + 
   (4*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 54249] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 13*z^2 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   17*a^2*z^2 - 5*a^4*z^2 - 15*z^4 + (6*z^4)/a^4 - (10*z^4)/a^2 + 
   19*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 
   10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 54250] -> 2 - a^(-2) + 2*a^2 - 3*a^4 + 
   a^6 + 3*z^2 - (2*z^2)/a^2 + 7*a^2*z^2 - 11*a^4*z^2 + 4*a^6*z^2 + 4*z^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 14*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 
   6*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 54251] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 - z^2/a^4 - 2*a^2*z^2 - 4*a^4*z^2 + 
   2*a^6*z^2 + 5*z^4 - z^4/a^4 + z^4/a^2 - 2*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54252] -> 2*a^2 + a^4 - 4*a^6 + 2*a^8 - z^2 + 
   5*a^2*z^2 + 3*a^4*z^2 - 16*a^6*z^2 + 8*a^8*z^2 - 3*z^4 + 9*a^2*z^4 - 
   24*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 54253] -> 1 + a^2 - a^4 - a^6 + a^8 + 
   4*a^2*z^2 - 5*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + z^4 - z^4/a^2 + 
   4*a^2*z^4 - 8*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + a^2*z^6 - 
   5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54254] -> 3 - a^(-2) - a^2 + 31*z^2 + (4*z^2)/a^4 - 
   (21*z^2)/a^2 - 13*a^2*z^2 + 69*z^4 + (8*z^4)/a^4 - (44*z^4)/a^2 - 
   24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 54255] -> 4 + a^(-4) - 3/a^2 - a^2 + 17*z^2 + 
   z^2/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54256] -> 
  1 + 4*z^2 + z^2/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 9*z^4 + 
   (3*z^4)/a^4 - (12*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 54257] -> 
  2 + a^(-4) - 2/a^2 + 5*z^2 - (5*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 9*z^4 + 
   z^4/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54258] -> -a^(-10) - a^(-8) + 4/a^6 - 2/a^4 + a^(-2) - 
   (3*z^2)/a^10 + (4*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (6*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54259] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   13*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - z^2/a^2 + 7*a^2*z^2 - 19*z^4 - 
   (3*z^4)/a^6 + (15*z^4)/a^4 - (9*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (10*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54260] -> 
  2 - 2*a^2 + a^4 + 2*z^2 - z^2/a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 5*a^4*z^2 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54261] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 2*z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54262] -> -2*a^4 + 7*a^6 - a^8 - 5*a^10 + 2*a^12 - 
   a^2*z^2 - 5*a^4*z^2 + 19*a^6*z^2 + 5*a^8*z^2 - 14*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 3*a^4*z^4 + 21*a^6*z^4 + 10*a^8*z^4 - 11*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 12*a^6*z^6 + 7*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 54263] -> 
  11 - 4/a^2 - 8*a^2 + 2*a^4 + 29*z^2 - (8*z^2)/a^2 - 28*a^2*z^2 + 
   9*a^4*z^2 + 42*z^4 - (9*z^4)/a^2 - 50*a^2*z^4 + 16*a^4*z^4 + 33*z^6 - 
   (5*z^6)/a^2 - 49*a^2*z^6 + 14*a^4*z^6 + 13*z^8 - z^8/a^2 - 27*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54264] -> 3 - 4/a^6 + 10/a^4 - 8/a^2 + 9*z^2 - 
   (8*z^2)/a^6 + (29*z^2)/a^4 - (28*z^2)/a^2 + 16*z^4 - (9*z^4)/a^6 + 
   (42*z^4)/a^4 - (50*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - 
   (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54265] -> 
  17 + 2/a^4 - 11/a^2 - 7*a^2 + 56*z^2 + (5*z^2)/a^4 - (34*z^2)/a^2 - 
   22*a^2*z^2 + 86*z^4 + (6*z^4)/a^4 - (46*z^4)/a^2 - 29*a^2*z^4 + 73*z^6 + 
   (4*z^6)/a^4 - (34*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54266] -> -a^(-2) + 5*a^2 - 3*a^4 + 3*z^2 - 
   (5*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 10*z^4 + (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (8*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 54267] -> 
  2/a^8 - 14/a^6 + 21/a^4 - 8/a^2 + (5*z^2)/a^8 - (39*z^2)/a^6 + 
   (69*z^2)/a^4 - (26*z^2)/a^2 + (6*z^4)/a^8 - (50*z^4)/a^6 + (99*z^4)/a^4 - 
   (33*z^4)/a^2 + (4*z^6)/a^8 - (35*z^6)/a^6 + (79*z^6)/a^4 - (21*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (36*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54268] -> 
  -3 - 4/a^6 + 4/a^4 + 4/a^2 - 9*z^2 + z^2/a^8 - (10*z^2)/a^6 + 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (13*z^4)/a^6 + 
   (16*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54269] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 3*z^2 + (3*z^2)/a^4 - (5*z^2)/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + (6*z^4)/a^4 - (12*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   6*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54270] -> -1 - 2/a^4 + 4/a^2 - 7*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (8*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + 
   (7*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54271] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 16*z^2 + 
   (2*z^2)/a^6 - (8*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   19*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (22*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 54272] -> 
  6 - a^(-2) - 7*a^2 + 3*a^4 + 27*z^2 - (4*z^2)/a^2 - 43*a^2*z^2 + 
   18*a^4*z^2 + 44*z^4 - (6*z^4)/a^2 - 80*a^2*z^4 + 28*a^4*z^4 + 34*z^6 - 
   (4*z^6)/a^2 - 72*a^2*z^6 + 20*a^4*z^6 + 13*z^8 - z^8/a^2 - 35*a^2*z^8 + 
   7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54273] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 13*a^2*z^2 - 14*a^4*z^2 + 5*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 16*a^2*z^4 - 16*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 12*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 54274] -> 
  2*a^2 - a^4 - 2*z^2 + 9*a^2*z^2 - 8*a^4*z^2 + 2*a^8*z^2 - z^4/a^2 + 
   10*a^2*z^4 - 14*a^4*z^4 - a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 
   9*a^4*z^6 - a^6*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54275] -> 1 + a^(-2) - 2*a^2 + a^6 - 5*z^2 - z^2/a^4 + 
   (5*z^2)/a^2 - 8*a^4*z^2 + 5*a^6*z^2 - 14*z^4 - z^4/a^4 + (7*z^4)/a^2 + 
   9*a^2*z^4 - 15*a^4*z^4 + 4*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 11*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 54276] -> -2 + a^(-2) + 3*a^2 - a^4 - 7*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + z^4/a^6 - 
   (4*z^4)/a^4 + (8*z^4)/a^2 + 11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 54277] -> -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 
   15*z^2 + z^2/a^6 - (8*z^2)/a^4 + (18*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 
   18*z^4 + (2*z^4)/a^6 - (11*z^4)/a^4 + (24*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 54278] -> 
  1 - a^(-2) + 4*a^2 - 4*a^4 + a^6 - 5*z^2 + z^2/a^2 + 13*a^2*z^2 - 
   9*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - z^4/a^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 10*z^6 - z^6/a^4 + (5*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54279] -> 2 + a^(-4) - 2/a^2 + 3*z^2 + z^2/a^6 - 
   (5*z^2)/a^2 + a^2*z^2 - a^4*z^2 + 3*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 54280] -> 
  1 + 2*z^2 + (2*z^2)/a^8 - z^2/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - (7*z^4)/a^4 + (2*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 54281] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 
   2*z^2 - z^2/a^8 + z^2/a^6 + (2*z^2)/a^4 + a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (3*z^4)/a^6 + (2*z^4)/a^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54282] -> -a^(-8) + 2/a^4 + z^2 - z^2/a^10 - z^2/a^8 + 
   (5*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + (2*z^4)/a^8 + 
   (6*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54283] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 - 
   (4*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   z^4/a^8 + (6*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + 
   z^6/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54284] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 - 
   z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 54285] -> 
  3 - a^(-2) - 2*a^2 + 2*a^4 - a^6 - 4*a^2*z^2 + 12*a^4*z^2 - 6*a^6*z^2 - 
   7*z^4 + (2*z^4)/a^2 + 21*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54286] -> 
  2 - a^(-2) + 2*a^2 - 3*a^4 + a^6 + 6*z^2 - z^2/a^4 - 2*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - z^4/a^4 + (3*z^4)/a^2 - 7*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + (2*z^6)/a^2 - 6*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 54287] -> 
  -5 - a^(-6) + a^(-4) + 4/a^2 + a^2 + a^4 - 15*z^2 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 + (4*z^2)/a^2 + 4*a^4*z^2 - 18*z^4 - z^4/a^6 + (7*z^4)/a^4 - 
   z^4/a^2 - 4*a^2*z^4 + 4*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - (3*z^6)/a^2 - 
   4*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 54288] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 - 10*a^2*z^2 + 3*a^6*z^2 + z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 12*a^2*z^4 - 4*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 54289] -> -1 - 2/a^4 + 4/a^2 + 15*z^2 + (3*z^2)/a^4 - 
   (10*z^2)/a^2 - 6*a^2*z^2 + 44*z^4 + (8*z^4)/a^4 - (34*z^4)/a^2 - 
   15*a^2*z^4 + 48*z^6 + (5*z^6)/a^4 - (32*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 54290] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - z^2 - 
   z^2/a^6 + (5*z^2)/a^2 + 10*z^4 - (5*z^4)/a^6 + (21*z^4)/a^4 - 
   (24*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (40*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54291] -> 
  2 - a^(-4) + a^(-2) - a^2 - z^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 8*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54292] -> 1 - 8*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 16*z^4 - z^4/a^4 + (8*z^4)/a^2 + 
   11*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (5*z^6)/a^2 + 
   8*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54293] -> 2/a^16 - 5/a^14 + 3/a^10 + a^(-8) + 
   z^2/a^16 - (15*z^2)/a^14 + (8*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 - 
   (2*z^4)/a^16 - (12*z^4)/a^14 + (24*z^4)/a^12 + (25*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (20*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54294] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + z^2 - 
   (2*z^2)/a^10 + (2*z^2)/a^8 + (6*z^2)/a^6 - (4*z^2)/a^4 + z^2/a^2 + z^4 - 
   (2*z^4)/a^10 + (4*z^4)/a^8 + (5*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54295] -> 
  -1 + a^(-4) - a^(-2) + 3*a^2 - a^4 - 3*z^2 + z^2/a^6 - (3*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 + 3*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54296] -> 
  1 - a^(-2) + 3*a^2 - 2*a^4 + 5*z^2 - (2*z^2)/a^2 + 18*z^4 - (3*z^4)/a^2 - 
   23*a^2*z^4 + 10*a^4*z^4 + 22*z^6 - (3*z^6)/a^2 - 39*a^2*z^6 + 13*a^4*z^6 + 
   11*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54297] -> 
  5 - 2/a^2 - 2*a^2 + 29*z^2 + (3*z^2)/a^4 - (18*z^2)/a^2 - 12*a^2*z^2 + 
   56*z^4 + (6*z^4)/a^4 - (34*z^4)/a^2 - 19*a^2*z^4 + 53*z^6 + (4*z^6)/a^4 - 
   (29*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54298] -> 
  -1 - a^(-6) + 3/a^2 - 6*z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + (4*z^2)/a^4 + 
   (11*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + (9*z^4)/a^4 + 
   (18*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (10*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54299] -> -a^(-6) + a^(-4) + a^(-2) + 
   z^2 + z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 2*a^2*z^2 + 3*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 54300] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 - z^2/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 
   3*a^4*z^2 - 4*z^4 + z^4/a^6 - (4*z^4)/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 
   3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 54301] -> 
  -3*a^2 + 12*a^4 - 11*a^6 + 3*a^8 - 2*z^2 + 20*a^4*z^2 - 22*a^6*z^2 + 
   7*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 9*a^4*z^4 - 24*a^6*z^4 + 9*a^8*z^4 - z^6 + 
   8*a^2*z^6 - 3*a^4*z^6 - 16*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 54302] -> 
  -a^(-18) + 7/a^16 - 14/a^14 + 6/a^12 + 3/a^10 + (8*z^2)/a^16 - 
   (36*z^2)/a^14 + (26*z^2)/a^12 + (14*z^2)/a^10 + (2*z^2)/a^8 - 
   (27*z^4)/a^14 + (41*z^4)/a^12 + (24*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   (4*z^6)/a^14 + (27*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54303] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) + z^2/a^16 - (9*z^2)/a^14 + 
   (15*z^2)/a^10 + (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (5*z^4)/a^14 + 
   (9*z^4)/a^12 + (19*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (6*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54304] -> 10 - a^(-4) - 3/a^2 - 5*a^2 + 26*z^2 + 
   z^2/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 - 12*a^2*z^2 + 30*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (2*z^4)/a^2 - 11*a^2*z^4 + 18*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54305] -> 
  -a^(-12) + 2/a^6 - (2*z^2)/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 + 
   (3*z^2)/a^8 + (6*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (9*z^4)/a^12 - 
   (7*z^4)/a^10 + (5*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (8*z^6)/a^10 - 
   (6*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54306] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 24*z^2 - 
   (5*z^2)/a^2 - 33*a^2*z^2 + 13*a^4*z^2 + 45*z^4 - (8*z^4)/a^2 - 
   69*a^2*z^4 + 24*a^4*z^4 + 37*z^6 - (5*z^6)/a^2 - 67*a^2*z^6 + 19*a^4*z^6 + 
   14*z^8 - z^8/a^2 - 34*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54307] -> 
  3 - 4*a^2 + 2*a^4 + 7*z^2 - z^2/a^4 + (2*z^2)/a^2 - 18*a^2*z^2 + 
   8*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 
   5*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54308] -> -2/a^8 + 2/a^6 + a^(-4) - (2*z^2)/a^14 + 
   (6*z^2)/a^12 - (4*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^4/a^14 + (10*z^4)/a^12 - (9*z^4)/a^10 - (6*z^4)/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + 
   z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54309] -> a^(-16) - 3/a^14 - a^(-12) + 3/a^10 + 
   a^(-8) + z^2/a^16 - (11*z^2)/a^14 + (5*z^2)/a^12 + (13*z^2)/a^10 + 
   (5*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (6*z^4)/a^14 + (13*z^4)/a^12 + 
   (18*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (7*z^6)/a^12 + 
   (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54310] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (5*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - (2*z^4)/a^4 + 
   (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54311] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54312] -> 
  -2 + 2/a^6 - 5/a^4 + 5/a^2 + a^2 - 9*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 13*z^4 - (3*z^4)/a^6 + z^4/a^4 + (10*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54313] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + (2*z^2)/a^4 - 
   (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 5*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (6*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54314] -> 2 - a^(-4) + a^(-2) - a^2 - z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 8*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (12*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 54315] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   z^2/a^12 - (2*z^2)/a^10 - (3*z^2)/a^8 + (5*z^2)/a^6 + (3*z^2)/a^4 - 
   z^2/a^2 + z^4/a^12 - (7*z^4)/a^10 + (4*z^4)/a^8 + (7*z^4)/a^6 + z^4/a^4 - 
   (2*z^4)/a^2 - (4*z^6)/a^10 + (7*z^6)/a^8 + (7*z^6)/a^6 + z^6/a^4 - 
   z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54316] -> -a^(-6) + a^(-4) + a^(-2) - z^2/a^10 + 
   (6*z^2)/a^6 - (7*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54317] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (12*z^4)/a^6 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54318] -> -1 - a^(-6) + 3/a^2 + (2*z^2)/a^8 - 
   (3*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - a^2*z^2 + 2*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54319] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   (3*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54320] -> -4/a^8 + 7/a^6 - 3/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (4*z^2)/a^8 + (14*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 - 
   (8*z^4)/a^10 + (16*z^4)/a^8 + (12*z^4)/a^6 - (16*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (14*z^6)/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 54321] -> -2/a^8 + 2/a^6 + a^(-4) + z^2 - 
   (3*z^2)/a^10 + (2*z^2)/a^8 + (7*z^2)/a^6 - z^2/a^4 - z^2/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54322] -> 
  -3 - 4/a^4 + 8/a^2 - 9*z^2 + z^2/a^8 - (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (22*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 - (2*z^4)/a^4 + 
   (26*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54323] -> -2/a^12 + 3/a^10 - 3/a^8 + 
   3/a^6 - z^2/a^14 + z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (8*z^4)/a^12 - (17*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (7*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 54324] -> 
  -3 + 2/a^6 - 6/a^4 + 7/a^2 + a^2 - 10*z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 - (5*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54325] -> 3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 9*a^4*z^2 + 4*a^6*z^2 + 5*z^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 13*a^4*z^4 + 4*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 5*a^2*z^6 - 
   9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 54326] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 
   2*a^2 - 12*z^2 + z^2/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (2*z^4)/a^6 + (2*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54327] -> 2*a^2 - a^4 + 2*z^2 - 11*a^2*z^2 + 
   18*a^4*z^2 - 8*a^6*z^2 + 7*z^4 - 36*a^2*z^4 + 55*a^4*z^4 - 20*a^6*z^4 + 
   5*z^6 - 35*a^2*z^6 + 61*a^4*z^6 - 18*a^6*z^6 + z^8 - 14*a^2*z^8 + 
   33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 54328] -> 2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 9*a^2*z^2 + 
   14*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 4*a^2*z^4 + 22*a^4*z^4 - 
   9*a^6*z^4 - 7*z^6 + z^6/a^2 + 4*a^2*z^6 + 16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54329] -> 7 - 3/a^2 - 3*a^2 + 37*z^2 + (2*z^2)/a^4 - 
   (20*z^2)/a^2 - 16*a^2*z^2 + 73*z^4 + (7*z^4)/a^4 - (41*z^4)/a^2 - 
   25*a^2*z^4 + 68*z^6 + (5*z^6)/a^4 - (36*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 54330] -> 5 - 2/a^2 - 2*a^2 + 18*z^2 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 9*a^2*z^2 + 26*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54331] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (3*z^4)/a^4 - 
   (13*z^4)/a^2 + 16*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 54332] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (4*z^2)/a^4 + (13*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (14*z^4)/a^6 + 
   (10*z^4)/a^4 + (19*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54333] -> 
  1 + a^2 - 2*a^4 + a^6 - z^2/a^4 + (2*z^2)/a^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   z^4 - z^4/a^4 + (2*z^4)/a^2 - a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 3*z^6 - 
   z^6/a^4 + z^6/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54334] -> 2 - 3*a^2 + 3*a^4 - a^6 - z^2 + z^2/a^2 - 
   9*a^2*z^2 + 16*a^4*z^2 - 7*a^6*z^2 - 8*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   24*a^4*z^4 - 9*a^6*z^4 - 8*z^6 + z^6/a^2 + 3*a^2*z^6 + 16*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54335] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 - 5*z^2 + 
   z^2/a^2 + 7*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 6*a^2*z^4 + 
   7*a^4*z^4 - 3*a^6*z^4 - z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 54336] -> 
  2*a^2 - a^4 + 4*z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 5*a^2*z^4 - 
   3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 54337] -> 2 - a^(-2) + a^2 - a^4 + 14*z^2 - 
   (5*z^2)/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 33*z^4 - (8*z^4)/a^2 - 35*a^2*z^4 + 
   12*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 43*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 54338] -> 3 - a^(-2) - a^2 + 9*z^2 - 
   z^2/a^4 - z^2/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 15*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 54339] -> 
  -4 + 2/a^2 + 4*a^2 - a^4 - 6*z^2 + z^2/a^4 - z^2/a^2 + 8*a^2*z^2 - 
   3*a^4*z^2 - 3*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 
   3*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54340] -> 3 + 2/a^4 - 4/a^2 + 5*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 - a^4*z^2 + 5*z^4 + z^4/a^6 - (6*z^4)/a^2 + 2*a^2*z^4 - 
   a^4*z^4 + z^6 + z^6/a^6 - z^6/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 54341] -> 
  -4 + a^(-2) + 7*a^2 - 3*a^4 - 7*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (10*z^4)/a^2 + 24*a^2*z^4 - 
   9*a^4*z^4 + 4*z^6 + z^6/a^4 - (8*z^6)/a^2 + 16*a^2*z^6 - 5*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54342] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   z^2/a^8 + (9*z^2)/a^6 - (10*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^4 - z^6/a^10 - z^6/a^8 + (6*z^6)/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54343] -> -a^(-6) + a^(-4) + a^(-2) + z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + 2*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 + (2*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   z^6/a^6 - (2*z^6)/a^4 + z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54344] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^4 - 
   z^2/a^14 + z^2/a^12 + (6*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (4*z^4)/a^12 + (2*z^4)/a^10 - (11*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (7*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 54345] -> 3*a^2 - 3*a^4 + a^6 - 7*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 - 14*z^4 - 
   z^4/a^4 + (7*z^4)/a^2 + 13*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 11*z^6 - 
   z^6/a^4 + (5*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 54346] -> 
  -a^2 + 5*a^4 - 3*a^6 + 2*z^2 - 18*a^2*z^2 + 35*a^4*z^2 - 15*a^6*z^2 + 
   7*z^4 - 41*a^2*z^4 + 72*a^4*z^4 - 25*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 
   68*a^4*z^6 - 19*a^6*z^6 + z^8 - 14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 
   2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 54347] -> 1 - 3*a^2 + 6*a^4 - 3*a^6 - z^2 - 
   7*a^2*z^2 + 20*a^4*z^2 - 9*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   26*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54348] -> -1 + 3*a^2 - a^6 - 8*z^2 + z^2/a^2 + 
   8*a^2*z^2 + 9*a^4*z^2 - 7*a^6*z^2 - 13*z^4 + (3*z^4)/a^2 + 12*a^2*z^4 + 
   19*a^4*z^4 - 9*a^6*z^4 - 9*z^6 + z^6/a^2 + 10*a^2*z^6 + 15*a^4*z^6 - 
   5*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54349] -> a^2 + a^4 - a^6 - 3*z^2 - z^2/a^2 + 
   6*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 
   10*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 54350] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 3*z^2 + z^2/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (10*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - (3*z^6)/a^4 + 
   (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 54351] -> a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + 
   a^(-8) + z^2/a^16 - (9*z^2)/a^14 - z^2/a^12 + (16*z^2)/a^10 + 
   (6*z^2)/a^8 - z^4/a^16 - (6*z^4)/a^14 + (9*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (10*z^6)/a^10 + 
   (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54352] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 12*z^2 - (2*z^2)/a^6 + z^2/a^4 + (10*z^2)/a^2 + 
   4*a^2*z^2 - 17*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + (8*z^4)/a^2 + 6*a^2*z^4 - 
   12*z^6 - z^6/a^6 + (7*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54353] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 - z^2/a^8 + z^2/a^6 + (4*z^2)/a^4 - 
   (5*z^2)/a^2 + a^2*z^2 - 2*z^4 - z^4/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 - 
   (6*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (5*z^6)/a^2 + a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 54354] -> 
  a^(-4) - 2/a^2 + 4*a^2 - 2*a^4 + z^2 + z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   7*a^2*z^4 - 3*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54355] -> 
  -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54356] -> -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - (7*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - (7*z^4)/a^10 - (15*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - (14*z^6)/a^8 + 
   z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54357] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 + (6*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - (4*z^6)/a^10 + 
   (9*z^6)/a^8 + (4*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 54358] -> a^(-10) - 3/a^8 + 2/a^6 + a^(-2) + z^2 - 
   z^2/a^10 + (4*z^2)/a^6 - (3*z^2)/a^4 + z^2/a^2 + z^4 - (2*z^4)/a^10 + 
   (3*z^4)/a^8 + (4*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + 
   (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54359] -> 
  -6 + 2/a^2 + 8*a^2 - 3*a^4 - 15*z^2 + (3*z^2)/a^4 - z^2/a^2 + 20*a^2*z^2 - 
   6*a^4*z^2 - 17*z^4 + (6*z^4)/a^4 - (8*z^4)/a^2 + 21*a^2*z^4 - 4*a^4*z^4 - 
   12*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54360] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 + 
   z^2/a^6 + z^2/a^4 - (6*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + z^4 + 
   (2*z^4)/a^6 - z^4/a^4 - (8*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 54361] -> 
  1 + a^4 - 2*a^6 + a^8 + 2*a^2*z^2 - a^4*z^2 - 5*a^6*z^2 + 3*a^8*z^2 - 
   z^4/a^2 + 4*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 
   2*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 54362] -> -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 14*a^2*z^2 - 8*a^4*z^2 + 11*z^4 + 
   (3*z^4)/a^4 - (14*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 54363] -> 
  4 - 2/a^2 - a^4 + 10*z^2 + z^2/a^6 - (3*z^2)/a^4 - (3*z^2)/a^2 + a^2*z^2 - 
   3*a^4*z^2 + 12*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 - 
   3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54364] -> 
  -2/a^12 + 3/a^10 - a^(-8) - a^(-6) + 2/a^4 - z^2/a^14 - z^2/a^12 + 
   (9*z^2)/a^10 - (4*z^2)/a^8 - z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 - (8*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + 
   z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 54365] -> -1 + a^(-2) + a^2 - 5*z^2 - z^2/a^6 + 
   (4*z^2)/a^4 - (2*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54366] -> 
  -2 - 3/a^4 + 6/a^2 - 6*z^2 + z^2/a^8 - (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (15*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 - (3*z^4)/a^4 + 
   (19*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54367] -> -a^(-12) + a^(-10) - a^(-8) + 
   a^(-6) + a^(-4) - z^2/a^14 + (2*z^2)/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 + z^4/a^10 - 
   (12*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 54368] -> 
  -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 11*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - (2*z^4)/a^6 + (2*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54369] -> -2 - a^(-6) + 2/a^4 + a^(-2) + a^4 - 5*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 4*z^4 - z^4/a^6 + 
   (2*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 54370] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - (3*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - 
   6*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + 12*a^2*z^4 - 3*a^4*z^4 - 
   9*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 54371] -> 
  -a^(-4) + 2/a^2 + z^2 - z^2/a^10 + z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (5*z^4)/a^4 - (2*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 54372] -> 1 - 2/a^4 + 3/a^2 - a^2 + 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 3*a^2*z^2 + 4*z^4 + 
   z^4/a^8 - (4*z^4)/a^6 - (2*z^4)/a^4 + (10*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 54373] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 2*z^2 + z^2/a^6 - (5*z^2)/a^2 + 
   4*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + z^4/a^6 - (2*z^4)/a^4 - (5*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54374] -> 
  -a^(-12) + a^(-8) + a^(-4) - z^2/a^14 + (3*z^2)/a^12 + z^2/a^8 + 
   (4*z^2)/a^4 + z^2/a^2 + (4*z^4)/a^12 - (2*z^4)/a^10 - (5*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (3*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 54375] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 - z^2/a^10 + (3*z^2)/a^8 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - (6*z^4)/a^4 - 
   z^4/a^2 - z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54376] -> 
  -1 + a^(-8) - 2/a^6 + a^(-4) + a^(-2) + a^2 - 4*z^2 - (4*z^2)/a^6 + 
   (7*z^2)/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 5*z^4 - (2*z^4)/a^8 - z^4/a^6 + 
   (10*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (2*z^6)/a^6 + 
   (7*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 54377] -> -a^(-6) + 2/a^4 - a^2 + a^4 - 2*z^2 + 
   (2*z^2)/a^4 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - z^4/a^6 + (2*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 54378] -> 
  4 - a^(-2) - 3*a^2 + a^4 + 4*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 
   a^6*z^2 + 3*z^4 - z^4/a^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 2*a^4*z^4 + 
   a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54379] -> 
  -1 + 4*a^2 - 2*a^4 + 5*z^2 + z^2/a^4 - (8*z^2)/a^2 + 12*a^2*z^2 - 
   8*a^4*z^2 + 12*z^4 + (3*z^4)/a^4 - (13*z^4)/a^2 + 20*a^2*z^4 - 9*a^4*z^4 + 
   10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - 
   (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54380] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 8*z^2 - 
   z^2/a^4 - (5*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + z^4/a^6 - 
   (2*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 
   3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54381] -> -1 + 5*a^2 - 4*a^4 + a^6 - 6*z^2 + z^2/a^2 + 
   9*a^2*z^2 - a^4*z^2 - 2*a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 8*a^2*z^4 + 
   9*a^4*z^4 - 5*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 10*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54382] -> 1 - 2*z^2 + 2*a^2*z^2 + 2*a^4*z^2 - 
   2*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 4*a^4*z^4 - 
   2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 54383] -> 
  2 - a^(-6) + a^(-4) - a^2 + 3*z^2 + z^2/a^8 - (3*z^2)/a^6 + (5*z^2)/a^2 - 
   3*a^2*z^2 + 4*z^4 + z^4/a^8 - (4*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 - 
   3*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 54384] -> 
  5 - 2/a^2 - 2*a^2 + 11*z^2 + z^2/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 - 
   3*a^2*z^2 - a^4*z^2 + 11*z^4 + z^4/a^6 - (3*z^4)/a^4 - (3*z^4)/a^2 + 
   a^2*z^4 - 2*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54385] -> 
  3 - a^(-2) - a^2 + z^2 - z^2/a^4 + (2*z^2)/a^2 - a^2*z^2 - a^4*z^2 + 
   a^6*z^2 - z^4/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   2*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 54386] -> 1 + 14*z^2 + (2*z^2)/a^4 - 
   (10*z^2)/a^2 - 6*a^2*z^2 + 39*z^4 + (7*z^4)/a^4 - (29*z^4)/a^2 - 
   13*a^2*z^4 + 44*z^6 + (5*z^6)/a^4 - (30*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 54387] -> 2 + a^(-4) - 2/a^2 + 9*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 16*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (5*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54388] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^8 - (6*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 5*z^4 + 
   (3*z^4)/a^8 - (11*z^4)/a^6 + (6*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (6*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54389] -> -1 + a^(-10) - 4/a^8 + 2/a^6 + 2/a^4 + 
   a^(-2) - 3*z^2 + (2*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + (7*z^2)/a^4 + 
   (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (5*z^4)/a^6 + 
   (12*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 54390] -> -3/a^12 + 5/a^10 - 4/a^8 + 3/a^6 - 
   z^2/a^14 - (2*z^2)/a^12 + (14*z^2)/a^10 - (13*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (5*z^4)/a^12 + (9*z^4)/a^10 - (20*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54391] -> -2/a^12 + 2/a^10 + a^(-4) - z^2/a^14 + 
   z^2/a^12 + (5*z^2)/a^10 - z^2/a^8 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + 
   (2*z^4)/a^10 - (6*z^4)/a^8 - (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - 
   (2*z^6)/a^10 - (5*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, 
 Knot[15, Alternating, 54392] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 4*z^2 - 
   z^2/a^8 + z^2/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 - 
   z^4/a^8 + (5*z^4)/a^6 + (2*z^4)/a^4 - (10*z^4)/a^2 + 3*a^2*z^4 - 2*z^6 + 
   (3*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 54393] -> 
  1 - a^(-12) + a^(-10) + a^(-6) - a^(-4) + 2*z^2 + (2*z^2)/a^10 + z^2/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 - z^4/a^8 - z^4/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54394] -> 
  -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (14*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54395] -> -3 - a^(-8) + 3/a^6 - 4/a^4 + 5/a^2 + a^4 - 
   10*z^2 - z^2/a^8 + (7*z^2)/a^6 - (14*z^2)/a^4 + (16*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 8*z^4 + (4*z^4)/a^6 - (16*z^4)/a^4 + (19*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 54396] -> 
  1 - a^(-12) + 2/a^10 - 3/a^8 + 5/a^6 - 4/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (16*z^2)/a^6 - (10*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (17*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 54397] -> -a^(-12) + 2/a^8 - 2/a^6 + 
   2/a^4 - z^2/a^14 + (4*z^2)/a^10 + (2*z^2)/a^8 - (3*z^2)/a^6 + 
   (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (3*z^4)/a^10 - (4*z^4)/a^8 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (5*z^6)/a^8 - 
   (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 54398] -> 
  1 - a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 2/a^4 - a^(-2) + 2*z^2 + 
   (2*z^2)/a^10 + (2*z^2)/a^8 - (4*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 - z^4/a^8 - (3*z^4)/a^6 - (4*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54399] -> -2/a^12 + 4/a^10 - 4/a^8 + 2/a^6 + a^(-4) - 
   (2*z^2)/a^14 + z^2/a^12 + (8*z^2)/a^10 - (8*z^2)/a^8 + (5*z^2)/a^6 + 
   (3*z^2)/a^4 - z^4/a^14 + (6*z^4)/a^12 + (4*z^4)/a^10 - (10*z^4)/a^8 + 
   (3*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54400] -> 2 - a^(-12) + 2/a^10 - 3/a^8 + 5/a^6 - 
   3/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + 
   (16*z^2)/a^6 - (9*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (16*z^4)/a^8 + (18*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - (6*z^6)/a^8 + 
   (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54401] -> -a^(-12) + a^(-10) + a^(-8) - 2/a^6 + 
   3/a^4 - 2/a^2 + a^2 - z^2 + (4*z^2)/a^10 - (3*z^2)/a^8 + (3*z^2)/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + z^4/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 54402] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - a^(-2) + 
   a^2 - z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - (3*z^2)/a^2 + 
   a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + 
   (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, Knot[15, Alternating, 54403] -> 
  3/a^10 - 9/a^8 + 7/a^6 + (2*z^2)/a^12 - (3*z^2)/a^10 - (9*z^2)/a^8 + 
   (15*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (14*z^4)/a^10 + (8*z^4)/a^8 + 
   (12*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + (17*z^6)/a^8 + 
   (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 54404] -> 
  a^(-10) - 2/a^8 - a^(-6) + 3/a^4 + z^2/a^12 - z^2/a^10 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + z^4/a^12 - (5*z^4)/a^10 - z^4/a^8 + 
   (8*z^4)/a^6 + z^4/a^4 - (2*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + 
   (8*z^6)/a^6 + z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54405] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   z^2/a^6 - z^2/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (4*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54406] -> 
  -1 - a^(-8) + a^(-4) + 2/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - 
   (12*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54407] -> 
  -2*a^4 + 8*a^6 - 3*a^8 - 4*a^10 + 2*a^12 - 2*a^2*z^2 - 2*a^4*z^2 + 
   19*a^6*z^2 - a^8*z^2 - 11*a^10*z^2 + 3*a^12*z^2 - 3*a^2*z^4 + 20*a^6*z^4 + 
   5*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 2*a^4*z^6 + 12*a^6*z^6 + 
   6*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 54408] -> -5/a^8 + 8/a^6 - 2/a^4 + z^2/a^12 - 
   (3*z^2)/a^10 - (6*z^2)/a^8 + (21*z^2)/a^6 - (5*z^2)/a^4 + z^4/a^12 - 
   (5*z^4)/a^10 - (2*z^4)/a^8 + (22*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - 
   (3*z^6)/a^10 + (2*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54409] -> 
  2 - a^(-2) + 2*a^2 - a^4 - 3*a^6 + 2*a^8 + 4*z^2 - (2*z^2)/a^2 + 
   7*a^2*z^2 - 8*a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 + 4*z^4 - z^4/a^2 + 
   5*a^2*z^4 - 12*a^4*z^4 - 9*a^6*z^4 + 4*a^8*z^4 + 2*z^6 - 7*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54410] -> -1 - 2/a^8 + 4/a^6 - 4/a^4 + 4/a^2 - z^2 + 
   z^2/a^10 - (4*z^2)/a^8 + (10*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 
   a^2*z^2 + z^4 - (4*z^4)/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 54411] -> -4 - 2/a^4 + 6/a^2 + a^4 - 
   11*z^2 - (5*z^2)/a^4 + (18*z^2)/a^2 - 11*a^2*z^2 + 8*a^4*z^2 - 14*z^4 - 
   (4*z^4)/a^4 + (20*z^4)/a^2 - 21*a^2*z^4 + 10*a^4*z^4 - 11*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54412] -> 
  4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 18*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 - 
   z^2/a^2 - 9*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + z^4/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54413] -> 3 + a^(-4) - 3/a^2 + a^2 - a^4 + 8*z^2 + 
   z^2/a^6 - z^2/a^4 - (7*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + 
   z^4/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - 
   (2*z^6)/a^4 + 3*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54414] -> -3/a^8 + 4/a^6 + z^2/a^12 - (2*z^2)/a^10 - 
   (6*z^2)/a^8 + (16*z^2)/a^6 - (3*z^2)/a^4 + z^4/a^12 - (5*z^4)/a^10 - 
   (3*z^4)/a^8 + (20*z^4)/a^6 - (5*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + 
   (2*z^6)/a^8 + (13*z^6)/a^6 - z^6/a^4 - z^6/a^2 + (2*z^8)/a^8 + 
   (4*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54415] -> 
  4 - a^(-4) - 2*a^2 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   a^2*z^2 - a^4*z^2 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 
   2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 54416] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54417] -> 
  5 - 4/a^6 + 12/a^4 - 12/a^2 + 26*z^2 - (16*z^2)/a^6 + (62*z^2)/a^4 - 
   (72*z^2)/a^2 + 38*z^4 - (17*z^4)/a^6 + (88*z^4)/a^4 - (119*z^4)/a^2 + 
   25*z^6 - (7*z^6)/a^6 + (56*z^6)/a^4 - (95*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (17*z^8)/a^4 - (42*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54418] -> 3 - 4/a^6 + 12/a^4 - 11/a^2 + 
   a^2 - 7*z^2 - (8*z^2)/a^6 + (30*z^2)/a^4 - (24*z^2)/a^2 + 8*a^2*z^2 - 
   18*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - (25*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 - 
   z^6/a^6 + (12*z^6)/a^4 - (16*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54419] -> 
  1 - 4/a^6 + 12/a^4 - 10/a^2 + 2*a^2 - 14*z^2 - (8*z^2)/a^6 + (30*z^2)/a^4 - 
   (21*z^2)/a^2 + 11*a^2*z^2 - 27*z^4 - (5*z^4)/a^6 + (28*z^4)/a^4 - 
   (22*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - z^6/a^6 + (12*z^6)/a^4 - 
   (15*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 54420] -> 
  6 - 4/a^6 + 13/a^4 - 14/a^2 + 29*z^2 - (16*z^2)/a^6 + (65*z^2)/a^4 - 
   (79*z^2)/a^2 + 41*z^4 - (17*z^4)/a^6 + (91*z^4)/a^4 - (128*z^4)/a^2 + 
   26*z^6 - (7*z^6)/a^6 + (57*z^6)/a^4 - (100*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (17*z^8)/a^4 - (43*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54421] -> 2 - 4/a^6 + 12/a^4 - 10/a^2 + 
   a^4 - z^2 - (4*z^2)/a^6 + (18*z^2)/a^4 - (15*z^2)/a^2 - 6*a^2*z^2 + 
   5*a^4*z^2 - 5*z^4 - z^4/a^6 + (10*z^4)/a^4 - (11*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 54422] -> 
  -a^6 + 10*a^8 - 11*a^10 + 3*a^12 - 6*a^4*z^2 + 9*a^6*z^2 + 24*a^8*z^2 - 
   22*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 + 
   23*a^8*z^4 - 15*a^10*z^4 + a^12*z^4 - a^2*z^6 + 15*a^6*z^6 + 12*a^8*z^6 - 
   4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 54423] -> 2/a^8 - 11/a^6 + 15/a^4 - 5/a^2 + 
   (9*z^2)/a^8 - (43*z^2)/a^6 + (62*z^2)/a^4 - (22*z^2)/a^2 + (12*z^4)/a^8 - 
   (63*z^4)/a^6 + (95*z^4)/a^4 - (30*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (76*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 54424] -> -3 - a^(-6) - 2/a^4 + 7/a^2 - 11*z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (2*z^2)/a^4 + (22*z^2)/a^2 - 11*z^4 + 
   (4*z^4)/a^8 - (18*z^4)/a^6 + (9*z^4)/a^4 + (27*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54425] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 23*z^2 - 
   (5*z^2)/a^6 + (34*z^2)/a^4 - (54*z^2)/a^2 + 37*z^4 - (8*z^4)/a^6 + 
   (58*z^4)/a^4 - (105*z^4)/a^2 + 25*z^6 - (5*z^6)/a^6 + (43*z^6)/a^4 - 
   (92*z^6)/a^2 + 8*z^8 - z^8/a^6 + (15*z^8)/a^4 - (42*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54426] -> 
  2 - a^(-6) + 5/a^4 - 6/a^2 + a^2 - 3*z^2 - (3*z^2)/a^6 + (19*z^2)/a^4 - 
   (23*z^2)/a^2 + 7*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (21*z^4)/a^4 - 
   (29*z^4)/a^2 + 10*a^2*z^4 - 15*z^6 - z^6/a^6 + (10*z^6)/a^4 - 
   (18*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (6*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 54427] -> 
  a^2 + a^4 - a^6 - 2*z^2 + 3*a^2*z^2 + 7*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 
   3*z^4 + 7*a^2*z^4 + 7*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 54428] -> 
  1 - z^2 - z^2/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + 2*a^4*z^2 - 3*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 4*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54429] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 16*z^2 - (6*z^2)/a^6 + (29*z^2)/a^4 - 
   (40*z^2)/a^2 + 27*z^4 - (9*z^4)/a^6 + (51*z^4)/a^4 - (79*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54430] -> 2*a^2 - a^4 + 2*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   14*a^2*z^4 + 6*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 
   4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54431] -> 4*a^4 - 4*a^6 + a^8 - 2*z^2 + 2*a^2*z^2 + 
   10*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 7*a^2*z^4 + 8*a^4*z^4 - 
   17*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 54432] -> 2*a^2 - a^4 - z^2/a^2 + 5*a^2*z^2 - 
   2*a^4*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 5*a^2*z^4 - 
   4*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54433] -> -2 - a^(-4) + 3/a^2 + 2*a^2 - 2*a^4 + a^6 - 
   7*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 
   12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 9*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 54434] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - z^2/a^4 + z^2/a^2 - 9*a^2*z^2 + 
   3*a^4*z^2 + a^6*z^2 + 4*z^4 - z^4/a^4 + (3*z^4)/a^2 - 10*a^2*z^4 - 
   a^4*z^4 + 2*a^6*z^4 + (2*z^6)/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - 
   z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 54435] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 2*a^6*z^2 - 8*z^4 + 
   (2*z^4)/a^2 + 8*a^2*z^4 + 7*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + z^6/a^2 + 
   5*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54436] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 12*z^2 - (5*z^2)/a^6 + (23*z^2)/a^4 - 
   (30*z^2)/a^2 + 24*z^4 - (8*z^4)/a^6 + (45*z^4)/a^4 - (68*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54437] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 
   3*z^2 - (3*z^2)/a^6 + (14*z^2)/a^4 - (17*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^6 + (17*z^4)/a^4 - (20*z^4)/a^2 + 6*a^2*z^4 - 10*z^6 - z^6/a^6 + 
   (9*z^6)/a^4 - (13*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54438] -> 
  -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (9*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54439] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - z^2/a^2 + 
   2*a^2*z^2 - 3*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 4*a^2*z^4 - 
   4*a^4*z^4 - 4*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 4*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54440] -> 1 - 4*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 12*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   15*a^2*z^4 - 13*a^4*z^4 + 3*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 13*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 54441] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 4*a^2*z^2 + 
   9*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 
   23*a^6*z^4 + 9*a^8*z^4 - z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 16*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 54442] -> 2 - 2*a^2 + a^4 + 6*z^2 - 
   z^2/a^4 + z^2/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 18*a^2*z^4 + 7*a^4*z^4 - 2*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   13*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 54443] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 - 7*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (11*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (14*z^4)/a^2 + 9*a^2*z^4 - 15*z^6 - z^6/a^6 + (9*z^6)/a^4 - (11*z^6)/a^2 + 
   5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54444] -> 2*a^2 - 2*a^6 + a^8 + z^2 - z^2/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 5*a^4*z^4 - 7*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 5*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54445] -> 2 - 2*a^2 + a^4 + 3*z^2 - z^2/a^4 + 
   (4*z^2)/a^2 - 15*a^2*z^2 + 8*a^4*z^2 - 2*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 
   24*a^2*z^4 + 10*a^4*z^4 - 6*z^6 - z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54446] -> -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 15*z^2 - 
   (3*z^2)/a^6 + (16*z^2)/a^4 - (13*z^2)/a^2 + 11*a^2*z^2 - 27*z^4 - 
   (3*z^4)/a^6 + (19*z^4)/a^4 - (19*z^4)/a^2 + 13*a^2*z^4 - 20*z^6 - 
   z^6/a^6 + (10*z^6)/a^4 - (15*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (6*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54447] -> 
  -3/a^6 + 5/a^4 - a^(-2) + (5*z^2)/a^8 - (24*z^2)/a^6 + (36*z^2)/a^4 - 
   (13*z^2)/a^2 + (8*z^4)/a^8 - (46*z^4)/a^6 + (72*z^4)/a^4 - (25*z^4)/a^2 + 
   (5*z^6)/a^8 - (37*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54448] -> 
  -2/a^6 + 3/a^4 - 4*z^2 + (3*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^4 + 
   (3*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + (18*z^4)/a^4 + 
   (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + (13*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54449] -> -a^(-6) + a^(-4) + a^(-2) - 
   6*z^2 + z^2/a^8 - (3*z^2)/a^6 - (2*z^2)/a^4 + (12*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (5*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54450] -> 
  a^2 + a^6 - a^8 - 2*z^2 + 4*a^2*z^2 + 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 
   3*z^4 + 8*a^2*z^4 + 3*a^4*z^4 - 11*a^6*z^4 + 5*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 54451] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 2*z^2 - z^2/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 
   6*a^6*z^2 + 2*a^8*z^2 + 3*z^4 - z^4/a^2 + 2*a^4*z^4 - 5*a^6*z^4 + 
   2*a^8*z^4 + 2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 54452] -> 
  -1 - 2/a^4 + 4/a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (14*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + 
   (18*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (10*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + (3*z^8)/a^2, Knot[15, Alternating, 54453] -> 
  3 - a^(-2) - a^2 + 29*z^2 + (6*z^2)/a^4 - (23*z^2)/a^2 - 11*a^2*z^2 + 
   66*z^4 + (9*z^4)/a^4 - (47*z^4)/a^2 - 23*a^2*z^4 + 66*z^6 + (5*z^6)/a^4 - 
   (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54454] -> 
  1 + 2*z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^4 - (13*z^4)/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 9*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 14*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 54455] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + (4*z^2)/a^8 - (26*z^2)/a^6 + (44*z^2)/a^4 - 
   (17*z^2)/a^2 + (8*z^4)/a^8 - (48*z^4)/a^6 + (82*z^4)/a^4 - (28*z^4)/a^2 + 
   (5*z^6)/a^8 - (38*z^6)/a^6 + (73*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54456] -> 
  -3/a^6 + 5/a^4 - a^(-2) - 6*z^2 + (2*z^2)/a^8 - (11*z^2)/a^6 + 
   (13*z^2)/a^4 + (6*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (15*z^4)/a^6 + 
   (15*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (11*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54457] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 19*z^2 + (3*z^2)/a^6 - (4*z^2)/a^4 - 
   (10*z^2)/a^2 - 8*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 - 
   (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54458] -> 2 + a^(-4) - 2/a^2 + 5*z^2 + z^2/a^6 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 3*a^4*z^2 + 8*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 5*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54459] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 5*a^2*z^2 + 8*a^4*z^2 - 20*a^6*z^2 + 
   9*a^8*z^2 - 3*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 27*a^6*z^4 + 10*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 4*a^4*z^6 - 17*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 
   4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 54460] -> 1 + a^4 - 2*a^6 + a^8 + 2*z^2 - z^2/a^2 + 
   3*a^2*z^2 - 4*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 + 3*z^4 - z^4/a^2 + 
   3*a^2*z^4 - 9*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 6*a^4*z^6 - 
   3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54461] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 8*z^2 + 
   (3*z^2)/a^8 - (13*z^2)/a^6 + (11*z^2)/a^4 + (11*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (16*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54462] -> -1 - a^(-6) + 3/a^2 - z^2 + z^2/a^8 - 
   (3*z^2)/a^6 - (3*z^2)/a^4 + (12*z^2)/a^2 - 3*a^2*z^2 + 3*z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (15*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 54463] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 12*z^2 + z^2/a^6 - (4*z^2)/a^4 + (9*z^2)/a^2 + 
   9*a^2*z^2 - 3*a^4*z^2 - 19*z^4 + z^4/a^6 - (6*z^4)/a^4 + (14*z^4)/a^2 + 
   14*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54464] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   z^2/a^8 - (2*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (2*z^4)/a^4 + (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (2*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54465] -> 
  -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - z^2/a^12 + (4*z^2)/a^10 - 
   (7*z^2)/a^8 + (13*z^2)/a^6 - (11*z^2)/a^4 + (4*z^2)/a^2 + z^4 + 
   (4*z^4)/a^10 - (11*z^4)/a^8 + (14*z^4)/a^6 - (13*z^4)/a^4 - (6*z^6)/a^8 + 
   (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54466] -> -1 - a^(-8) + 3/a^6 - 3/a^4 + 2/a^2 + a^2 - 
   7*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (16*z^4)/a^4 + (10*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 54467] -> a^2 + a^4 - a^6 - 2*z^2 + 6*a^2*z^2 - 
   5*a^6*z^2 + 3*a^8*z^2 - 3*z^4 + 11*a^2*z^4 - 4*a^4*z^4 - 12*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 8*a^2*z^6 - 6*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 54468] -> 5 - a^(-6) + 6/a^4 - 9/a^2 + 27*z^2 - 
   (8*z^2)/a^6 + (44*z^2)/a^4 - (66*z^2)/a^2 + 40*z^4 - (10*z^4)/a^6 + 
   (68*z^4)/a^4 - (117*z^4)/a^2 + 26*z^6 - (5*z^6)/a^6 + (46*z^6)/a^4 - 
   (97*z^6)/a^2 + 8*z^8 - z^8/a^6 + (15*z^8)/a^4 - (43*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54469] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (13*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54470] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 18*z^2 - 
   (6*z^2)/a^6 + (31*z^2)/a^4 - (45*z^2)/a^2 + 28*z^4 - (9*z^4)/a^6 + 
   (52*z^4)/a^4 - (83*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54471] -> 
  -1 - a^(-6) + 4/a^4 - 3/a^2 + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + (13*z^2)/a^4 - 
   (9*z^2)/a^2 + 8*a^2*z^2 - 21*z^4 - (3*z^4)/a^6 + (16*z^4)/a^4 - 
   (13*z^4)/a^2 + 10*a^2*z^4 - 16*z^6 - z^6/a^6 + (9*z^6)/a^4 - 
   (11*z^6)/a^2 + 5*a^2*z^6 - 6*z^8 + (2*z^8)/a^4 - (5*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 54472] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - z^2/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (6*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - z^4/a^8 + (5*z^4)/a^6 - (7*z^4)/a^4 + 
   (10*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 54473] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 5*a^2*z^2 + 11*a^4*z^2 - 11*a^6*z^2 + 4*a^8*z^2 + 4*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 6*a^4*z^4 - 10*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 
   2*a^2*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54474] -> 3 - 4*a^2 + 2*a^4 + 6*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 13*a^2*z^2 + a^4*z^2 + 3*a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (4*z^4)/a^2 - 15*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   8*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 54475] -> 1 - a^(-6) + 5/a^4 - 5/a^2 + a^4 - z^2 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - (12*z^2)/a^2 - 6*a^2*z^2 + 5*a^4*z^2 - 
   5*z^4 - z^4/a^6 + (8*z^4)/a^4 - (11*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 
   4*z^6 + (2*z^6)/a^4 - (5*z^6)/a^2 - 5*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 54476] -> 1 - a^(-6) + 2/a^4 - a^(-2) + 
   5*z^2 + z^2/a^8 - (4*z^2)/a^6 + (5*z^2)/a^4 - (3*z^2)/a^2 - 3*a^2*z^2 + 
   7*z^4 + z^4/a^8 - (5*z^4)/a^6 + (5*z^4)/a^4 - 3*a^2*z^4 + 4*z^6 - 
   (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 54477] -> a^2 + a^4 - a^6 + 3*z^2 - 
   14*a^2*z^2 + 22*a^4*z^2 - 9*a^6*z^2 + 7*z^4 - 38*a^2*z^4 + 58*a^4*z^4 - 
   21*a^6*z^4 + 5*z^6 - 35*a^2*z^6 + 62*a^4*z^6 - 18*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 33*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 54478] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + 
   z^2/a^2 - 5*a^2*z^2 + 13*a^4*z^2 - 6*a^6*z^2 - 8*z^4 + (2*z^4)/a^2 - 
   a^2*z^4 + 21*a^4*z^4 - 9*a^6*z^4 - 7*z^6 + z^6/a^2 + 5*a^2*z^6 + 
   16*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54479] -> 
  5 - 2/a^2 - 2*a^2 + 32*z^2 + (4*z^2)/a^4 - (21*z^2)/a^2 - 13*a^2*z^2 + 
   69*z^4 + (8*z^4)/a^4 - (44*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - 
   (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54480] -> 
  -5/a^6 + 9/a^4 - 3/a^2 + (3*z^2)/a^8 - (23*z^2)/a^6 + (42*z^2)/a^4 - 
   (16*z^2)/a^2 + (7*z^4)/a^8 - (43*z^4)/a^6 + (76*z^4)/a^4 - (26*z^4)/a^2 + 
   (5*z^6)/a^8 - (36*z^6)/a^6 + (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54481] -> 
  -1 - 3/a^6 + 4/a^4 + a^(-2) - 5*z^2 + (2*z^2)/a^8 - (12*z^2)/a^6 + 
   (16*z^2)/a^4 + (4*z^2)/a^2 - 7*z^4 + (3*z^4)/a^8 - (16*z^4)/a^6 + 
   (20*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + z^6/a^8 - (9*z^6)/a^6 + 
   (13*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54482] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 21*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (10*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (4*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54483] -> -a^(-6) + a^(-4) + a^(-2) + 6*z^2 - 
   (6*z^2)/a^6 + (19*z^2)/a^4 - (17*z^2)/a^2 + 15*z^4 - (9*z^4)/a^6 + 
   (39*z^4)/a^4 - (45*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - 
   (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54484] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 5*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (12*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54485] -> 9 - 4/a^2 - 4*a^2 + 46*z^2 + (6*z^2)/a^4 - 
   (30*z^2)/a^2 - 18*a^2*z^2 + 83*z^4 + (9*z^4)/a^4 - (52*z^4)/a^2 - 
   28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 54486] -> 4 - 2/a^2 - a^4 + 8*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 8*a^2*z^2 - 6*a^4*z^2 + 11*z^4 + (3*z^4)/a^4 - 
   (14*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 54487] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 12*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (7*z^2)/a^2 - 8*a^2*z^2 + 21*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (12*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54488] -> 
  2 - a^(-4) + a^(-2) - a^2 + 7*z^2 + z^2/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   a^2*z^2 - 3*a^4*z^2 + 11*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 3*a^4*z^4 + 7*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54489] -> 
  -a^(-6) + a^(-4) + a^(-2) + (4*z^2)/a^8 - (16*z^2)/a^6 + (21*z^2)/a^4 - 
   (7*z^2)/a^2 + (8*z^4)/a^8 - (36*z^4)/a^6 + (48*z^4)/a^4 - (16*z^4)/a^2 + 
   (5*z^6)/a^8 - (32*z^6)/a^6 + (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54490] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) - 3*z^2 + (2*z^2)/a^8 - (6*z^2)/a^6 + 
   (4*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + 
   (5*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54491] -> 2 - 3*a^2 + 3*a^4 - a^6 - 
   4*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 11*z^4 + 
   (3*z^4)/a^2 + 2*a^2*z^4 + 16*a^4*z^4 - 7*a^6*z^4 - 8*z^6 + z^6/a^2 + 
   6*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 5*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54492] -> 
  1 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 3/a^4 + a^(-2) + 2*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (11*z^2)/a^8 + (13*z^2)/a^6 - (9*z^2)/a^4 + z^4 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 + (16*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   (6*z^6)/a^8 + (10*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 54493] -> -3 - a^(-8) + 2/a^6 - 2/a^4 + 
   4/a^2 + a^4 - 9*z^2 - z^2/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 - 2*a^2*z^2 + 2*a^4*z^2 - 8*z^4 + (4*z^4)/a^6 - 
   (16*z^4)/a^4 + (18*z^4)/a^2 - 4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + 
   (11*z^6)/a^2 - 2*a^2*z^6 + z^8 + (3*z^8)/a^2, 
 Knot[15, Alternating, 54494] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + z^2/a^4 - 
   (2*z^2)/a^2 - 5*a^2*z^2 + 9*a^4*z^2 - 4*a^6*z^2 + 2*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 2*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   a^2*z^6 + 4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54495] -> 4 - a^(-2) - 3*a^2 + a^4 + 16*z^2 - 
   (4*z^2)/a^2 - 19*a^2*z^2 + 7*a^4*z^2 + 31*z^4 - (6*z^4)/a^2 - 43*a^2*z^4 + 
   15*a^4*z^4 + 28*z^6 - (4*z^6)/a^2 - 47*a^2*z^6 + 14*a^4*z^6 + 12*z^8 - 
   z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 54496] -> -a^2 + 5*a^4 - 3*a^6 + 4*z^2 - 
   22*a^2*z^2 + 37*a^4*z^2 - 15*a^6*z^2 + 8*z^4 - 45*a^2*z^4 + 73*a^4*z^4 - 
   25*a^6*z^4 + 5*z^6 - 37*a^2*z^6 + 68*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 54497] -> 9 - 4/a^2 - 4*a^2 + 33*z^2 + 
   (3*z^2)/a^4 - (19*z^2)/a^2 - 13*a^2*z^2 + 57*z^4 + (6*z^4)/a^4 - 
   (34*z^4)/a^2 - 19*a^2*z^4 + 53*z^6 + (4*z^6)/a^4 - (29*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54498] -> 
  -1 + 3*a^2 - a^6 - 10*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 + 7*a^4*z^2 - 
   6*a^6*z^2 - 15*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 + 17*a^4*z^4 - 9*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 11*a^2*z^6 + 15*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54499] -> 3 - a^(-6) + 4/a^4 - 5/a^2 + 11*z^2 - 
   (5*z^2)/a^6 + (22*z^2)/a^4 - (29*z^2)/a^2 + 19*z^4 - (8*z^4)/a^6 + 
   (40*z^4)/a^4 - (57*z^4)/a^2 + 15*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - 
   (54*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (28*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54500] -> 
  1 - 3*a^2 + 6*a^4 - 3*a^6 - 5*z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 20*a^4*z^2 - 
   9*a^6*z^2 - 11*z^4 + (3*z^4)/a^2 + 26*a^4*z^4 - 10*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   6*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54501] -> 
  a^2 + a^4 - a^6 - z^2 + z^2/a^4 - (3*z^2)/a^2 + 4*a^2*z^2 + 5*a^4*z^2 - 
   4*a^6*z^2 + z^4/a^4 - (4*z^4)/a^2 + 8*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 + 
   z^6 - (2*z^6)/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 54502] -> 1 + z^2 - z^2/a^4 + (3*z^2)/a^2 - 
   7*a^2*z^2 + 4*a^4*z^2 - 4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 14*a^2*z^4 + 
   7*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54503] -> -2/a^6 + 3/a^4 - 4*z^2 + z^2/a^8 - 
   (6*z^2)/a^6 + (7*z^2)/a^4 + (5*z^2)/a^2 - 7*z^4 + (2*z^4)/a^8 - 
   (10*z^4)/a^6 + (9*z^4)/a^4 + (13*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (8*z^6)/a^4 + (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54504] -> 2*a^2 - a^4 + 4*z^2 + (2*z^2)/a^4 - 
   (8*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 + 10*z^4 + (3*z^4)/a^4 - 
   (14*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 10*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - a^4*z^8 + 
   z^10 + a^2*z^10, Knot[15, Alternating, 54505] -> 
  -1 + 4*a^2 - 2*a^4 - 8*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 + 2*a^4*z^2 - 
   3*a^6*z^2 - 12*z^4 + (3*z^4)/a^2 + 9*a^2*z^4 + 11*a^4*z^4 - 6*a^6*z^4 - 
   8*z^6 + z^6/a^2 + 7*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54506] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 5*z^2 + z^2/a^6 - z^2/a^4 - 
   (6*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (3*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54507] -> 
  2*a^2 - a^4 - 2*z^2 + z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 + a^4*z^2 - 
   2*a^6*z^2 - 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 7*a^2*z^4 + 3*a^4*z^4 - 
   2*a^6*z^4 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 54508] -> 
  -1 - a^(-6) + 3/a^2 + 3*z^2 - (5*z^2)/a^6 + (14*z^2)/a^4 - (9*z^2)/a^2 + 
   14*z^4 - (8*z^4)/a^6 + (35*z^4)/a^4 - (39*z^4)/a^2 + 14*z^6 - 
   (5*z^6)/a^6 + (32*z^6)/a^4 - (47*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54509] -> 11 - 5/a^2 - 5*a^2 + 47*z^2 + 
   (4*z^2)/a^4 - (27*z^2)/a^2 - 19*a^2*z^2 + 83*z^4 + (8*z^4)/a^4 - 
   (48*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54510] -> 
  -1 + 4*a^2 - 2*a^4 - 6*z^2 + z^2/a^2 + 7*a^2*z^2 + 4*a^4*z^2 - 4*a^6*z^2 - 
   10*z^4 + (2*z^4)/a^2 + 9*a^2*z^4 + 13*a^4*z^4 - 7*a^6*z^4 - 7*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54511] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 15*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 - 9*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + 
   (10*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (9*z^6)/a^4 + 
   (10*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54512] -> 
  1 + 13*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 - 5*a^2*z^2 + 39*z^4 + 
   (6*z^4)/a^4 - (29*z^4)/a^2 - 14*a^2*z^4 + 46*z^6 + (4*z^6)/a^4 - 
   (28*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54513] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 9*z^2 + z^2/a^8 - (5*z^2)/a^6 - z^2/a^4 + 
   (18*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (25*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + (6*z^6)/a^4 + 
   (17*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54514] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   10*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 7*a^4*z^2 - 13*z^4 + (3*z^4)/a^2 + 
   16*a^2*z^4 + a^4*z^4 - 3*a^6*z^4 - 8*z^6 + z^6/a^2 + 9*a^2*z^6 + 
   6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54515] -> 
  3 - a^(-2) - a^2 + 19*z^2 + (4*z^2)/a^4 - (15*z^2)/a^2 - 7*a^2*z^2 + 
   45*z^4 + (8*z^4)/a^4 - (35*z^4)/a^2 - 15*a^2*z^4 + 48*z^6 + (5*z^6)/a^4 - 
   (32*z^6)/a^2 - 14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54516] -> 
  -2/a^6 + 3/a^4 + (3*z^2)/a^8 - (14*z^2)/a^6 + (21*z^2)/a^4 - (7*z^2)/a^2 + 
   (7*z^4)/a^8 - (33*z^4)/a^6 + (47*z^4)/a^4 - (16*z^4)/a^2 + (5*z^6)/a^8 - 
   (31*z^6)/a^6 + (49*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 54517] -> -4 - a^(-8) + 2/a^6 - 4/a^4 + 
   7/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (10*z^2)/a^4 + 
   (13*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^8 + (9*z^4)/a^6 - (15*z^4)/a^4 + 
   (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 54518] -> -1 - a^(-4) + 2/a^2 + 3*a^2 - 3*a^4 + a^6 - 
   5*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 + 7*a^2*z^2 - 8*a^4*z^2 + 3*a^6*z^2 - 
   11*z^4 - z^4/a^4 + (8*z^4)/a^2 + 10*a^2*z^4 - 10*a^4*z^4 + 3*a^6*z^4 - 
   10*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 54519] -> 
  1 + 3*z^2 - z^2/a^4 + z^2/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 9*a^2*z^4 + 4*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 54520] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   z^2 + z^2/a^2 - 8*a^2*z^2 + 17*a^4*z^2 - 7*a^6*z^2 - 6*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 22*a^4*z^4 - 8*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   14*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54521] -> 
  -a^(-12) + a^(-10) - 2/a^8 + 3/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + 
   (6*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 + z^2/a^4 - z^4/a^14 + 
   (7*z^4)/a^12 + (4*z^4)/a^10 - (17*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + 
   (3*z^6)/a^12 - (3*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 54522] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 - z^2/a^10 - z^2/a^8 + (15*z^2)/a^6 - 
   (16*z^2)/a^4 + (6*z^2)/a^2 + 2*z^4 - z^4/a^10 + (5*z^4)/a^8 + 
   (8*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (2*z^6)/a^6 - (15*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54523] -> -a^(-4) + 2/a^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (3*z^2)/a^2 + a^2*z^2 - a^4*z^2 - 2*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 + 4*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54524] -> -2/a^6 + 3/a^4 - 2*z^2 + z^2/a^8 - 
   (4*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - 
   (7*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (4*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54525] -> 
  1 + 8*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (2*z^2)/a^2 - 4*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 54526] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 8*z^2 - (5*z^2)/a^6 + (19*z^2)/a^4 - 
   (22*z^2)/a^2 + 16*z^4 - (8*z^4)/a^6 + (37*z^4)/a^4 - (48*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - (49*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54527] -> -3*a^2 + 9*a^4 - 5*a^6 + 3*z^2 - 
   22*a^2*z^2 + 42*a^4*z^2 - 17*a^6*z^2 + 7*z^4 - 43*a^2*z^4 + 76*a^4*z^4 - 
   26*a^6*z^4 + 5*z^6 - 36*a^2*z^6 + 69*a^4*z^6 - 19*a^6*z^6 + z^8 - 
   14*a^2*z^8 + 34*a^4*z^8 - 7*a^6*z^8 - 2*a^2*z^10 + 9*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 54528] -> -1 + a^2 + 4*a^4 - 3*a^6 - 
   5*z^2 + z^2/a^2 + 18*a^4*z^2 - 9*a^6*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   3*a^2*z^4 + 25*a^4*z^4 - 10*a^6*z^4 - 7*z^6 + z^6/a^2 + 6*a^2*z^6 + 
   17*a^4*z^6 - 5*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 6*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54529] -> 
  -2 + 5*a^2 - a^4 - a^6 - 12*z^2 + (2*z^2)/a^2 + 16*a^2*z^2 + 3*a^4*z^2 - 
   5*a^6*z^2 - 16*z^4 + (3*z^4)/a^2 + 20*a^2*z^4 + 11*a^4*z^4 - 7*a^6*z^4 - 
   9*z^6 + z^6/a^2 + 13*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54530] -> -a^(-12) + 2/a^10 - 2/a^8 + 2/a^6 - 2/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (10*z^2)/a^8 + (11*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (14*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54531] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   10*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (13*z^4)/a^4 - (6*z^4)/a^2 + 7*a^2*z^4 - 12*z^6 - z^6/a^6 + 
   (8*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54532] -> 
  a^2 + 2*a^6 - 3*a^8 + a^10 - 2*z^2 + 5*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - 
   3*a^8*z^2 + a^10*z^2 - 3*z^4 + 8*a^2*z^4 - a^4*z^4 - 4*a^6*z^4 + a^8*z^4 - 
   z^6 + 7*a^2*z^6 - 2*a^4*z^6 - 6*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 4*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 54533] -> 1 - 2*a^2 + 5*a^4 - 4*a^6 + a^8 + 3*z^2 - 
   z^2/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 10*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - 4*a^2*z^4 + 9*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 
   a^2*z^6 + 2*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54534] -> -3 - a^(-4) + 4/a^2 + a^4 - 9*z^2 - 
   z^2/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - 7*z^4 + (4*z^4)/a^6 - (13*z^4)/a^4 + (16*z^4)/a^2 - 
   4*a^2*z^4 + a^4*z^4 - z^6 - (6*z^6)/a^4 + (10*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   (3*z^8)/a^2, Knot[15, Alternating, 54535] -> 
  -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 - 9*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 10*a^2*z^2 - 4*a^4*z^2 - 17*z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 14*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 54536] -> 5 - 2/a^2 - 2*a^2 + 24*z^2 + 
   (4*z^2)/a^4 - (17*z^2)/a^2 - 9*a^2*z^2 + 49*z^4 + (8*z^4)/a^4 - 
   (36*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (32*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54537] -> 
  -a^(-4) + 2/a^2 + 6*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - 
   4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (5*z^4)/a^2 - 
   6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54538] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (11*z^4)/a^6 - (11*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 54539] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 - 
   z^2/a^10 + (14*z^2)/a^6 - (17*z^2)/a^4 + (7*z^2)/a^2 + 2*z^4 - z^4/a^10 + 
   (5*z^4)/a^8 + (7*z^4)/a^6 - (24*z^4)/a^4 + (5*z^4)/a^2 + z^6 + 
   (3*z^6)/a^8 - (2*z^6)/a^6 - (15*z^6)/a^4 - (2*z^8)/a^6 - (4*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 54540] -> 1 - a^2 + 3*a^4 - 3*a^6 + a^8 + 
   3*z^2 - z^2/a^2 - 3*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 3*z^4 - 
   z^4/a^2 - a^2*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 - 3*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54541] -> 2 - a^(-2) + a^4 - a^6 + 5*z^2 + z^2/a^4 - 
   (5*z^2)/a^2 + 6*a^4*z^2 - 4*a^6*z^2 + 6*z^4 + z^4/a^4 - (5*z^4)/a^2 + 
   2*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 + 3*z^6 - (2*z^6)/a^2 + 2*a^2*z^6 + 
   4*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54542] -> -1 - a^(-6) + 3/a^2 - 6*z^2 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 + (5*z^2)/a^4 + (10*z^2)/a^2 - 8*z^4 + (2*z^4)/a^8 - 
   (12*z^4)/a^6 + (10*z^4)/a^4 + (16*z^4)/a^2 - 4*z^6 + z^6/a^8 - 
   (7*z^6)/a^6 + (9*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54543] -> -1 - 2/a^4 + 4/a^2 + 5*z^2 + (2*z^2)/a^6 - 
   (7*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54544] -> 
  -a^(-4) + 2/a^2 + z^2 + z^2/a^6 - (3*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 
   2*a^4*z^2 + 4*z^4 + z^4/a^6 - (3*z^4)/a^4 + 4*a^2*z^4 - 2*a^4*z^4 + 
   4*z^6 - (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54545] -> 2*a^2 - a^4 - 4*z^2 + z^2/a^2 + 3*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (2*z^4)/a^2 + 2*a^2*z^4 + 13*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + 3*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54546] -> -2 - 3/a^4 + 6/a^2 + 3*z^2 + (2*z^2)/a^6 - 
   (9*z^2)/a^4 + (11*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (3*z^4)/a^6 - 
   (12*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54547] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 3*z^2 - (3*z^2)/a^6 + (9*z^2)/a^4 - 
   (7*z^2)/a^2 - 6*z^4 - (3*z^4)/a^6 + (13*z^4)/a^4 - (8*z^4)/a^2 + 
   5*a^2*z^4 - 10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (7*z^6)/a^2 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54548] -> 3 - 2/a^2 + 2*a^2 - 2*a^4 + 11*z^2 + 
   (2*z^2)/a^4 - (11*z^2)/a^2 + 9*a^2*z^2 - 7*a^4*z^2 + 15*z^4 + 
   (3*z^4)/a^4 - (15*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 11*z^6 + z^6/a^4 - 
   (9*z^6)/a^2 + 15*a^2*z^6 - 5*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 6*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 54549] -> 
  -2 + 6*a^2 - 3*a^4 - 10*z^2 + (2*z^2)/a^2 + 14*a^2*z^2 - 3*a^6*z^2 - 
   13*z^4 + (3*z^4)/a^2 + 13*a^2*z^4 + 10*a^4*z^4 - 6*a^6*z^4 - 8*z^6 + 
   z^6/a^2 + 8*a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54550] -> 
  1 - a^(-4) + a^(-2) + a^2 - a^4 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + z^2/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 9*z^4 + z^4/a^6 - (4*z^4)/a^4 + z^4/a^2 + 
   6*a^2*z^4 - 3*a^4*z^4 + 6*z^6 - (2*z^6)/a^4 + z^6/a^2 + 3*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54551] -> 
  2 - a^(-2) + a^2 - a^4 + 3*z^2 + z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - 2*a^6*z^2 + 2*z^4 + z^4/a^4 - (4*z^4)/a^2 + 6*a^2*z^4 + 
   3*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 + 5*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 54552] -> 
  2 - a^(-6) + a^(-4) - a^2 + 6*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 - 
   4*a^2*z^2 + 8*z^4 + z^4/a^8 - (5*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - 
   3*a^2*z^4 + 4*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + (2*z^6)/a^2 - a^2*z^6 + 
   z^8 + z^8/a^4 + z^8/a^2, Knot[15, Alternating, 54553] -> 
  2 - a^(-4) + a^(-2) - a^2 + 6*z^2 + z^2/a^6 - (3*z^2)/a^4 - 2*a^4*z^2 + 
   8*z^4 + z^4/a^6 - (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54554] -> 3 - a^(-2) - a^2 + 6*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + 5*z^4 + z^4/a^4 - 
   (4*z^4)/a^2 - 3*a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 
   3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54555] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (12*z^4)/a^6 + (8*z^4)/a^4 + (11*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54556] -> -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 - (12*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (5*z^4)/a^10 - (19*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54557] -> -a^(-6) + a^(-4) + a^(-2) + (3*z^2)/a^8 - 
   (11*z^2)/a^6 + (14*z^2)/a^4 - (4*z^2)/a^2 + (7*z^4)/a^8 - (30*z^4)/a^6 + 
   (38*z^4)/a^4 - (13*z^4)/a^2 + (5*z^6)/a^8 - (30*z^6)/a^6 + (44*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 54558] -> 1 - a^(-6) + 2/a^4 - a^(-2) + (2*z^2)/a^8 - 
   (7*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   (12*z^4)/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54559] -> -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + z^2/a^12 + (9*z^2)/a^10 - (10*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (6*z^4)/a^10 - (18*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54560] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - 
   z^2/a^14 + (8*z^2)/a^10 - (6*z^2)/a^8 + (3*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (4*z^4)/a^10 - (9*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 54561] -> 1 - a^(-12) + 2/a^10 - 3/a^8 + 
   4/a^6 - 2/a^4 + 2*z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + 
   (14*z^2)/a^6 - (8*z^2)/a^4 + z^4 + (4*z^4)/a^10 - (15*z^4)/a^8 + 
   (16*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - (6*z^6)/a^8 + (10*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54562] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   (2*z^2)/a^14 + z^2/a^12 + (9*z^2)/a^10 - (9*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (6*z^4)/a^10 - (18*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54563] -> -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - 
   (2*z^2)/a^14 + (2*z^2)/a^12 + (8*z^2)/a^10 - (11*z^2)/a^8 + (10*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 + (5*z^4)/a^10 - (19*z^4)/a^8 + 
   (8*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54564] -> -2/a^12 + 3/a^10 - 2/a^8 + a^(-6) + a^(-4) - 
   z^2/a^14 + (9*z^2)/a^10 - (7*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + 
   z^2/a^2 + (3*z^4)/a^12 + (4*z^4)/a^10 - (10*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - (6*z^6)/a^8 - (4*z^6)/a^6 - 
   z^6/a^4, Knot[15, Alternating, 54565] -> -2/a^12 + 4/a^10 - 5/a^8 + 
   4/a^6 - (2*z^2)/a^14 + (2*z^2)/a^12 + (8*z^2)/a^10 - (13*z^2)/a^8 + 
   (12*z^2)/a^6 + z^2/a^4 - z^4/a^14 + (7*z^4)/a^12 + (4*z^4)/a^10 - 
   (18*z^4)/a^8 + (10*z^4)/a^6 + (2*z^4)/a^4 + (3*z^6)/a^12 - (3*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54566] -> -a^(-12) + 2/a^10 - 3/a^8 + 4/a^6 - 3/a^4 + 
   2/a^2 + z^2 - z^2/a^12 + (7*z^2)/a^10 - (11*z^2)/a^8 + (14*z^2)/a^6 - 
   (9*z^2)/a^4 + (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (14*z^4)/a^8 + 
   (15*z^4)/a^6 - (11*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54567] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (8*z^2)/a^8 + (16*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (15*z^4)/a^6 - 
   (13*z^4)/a^4 - (6*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54568] -> 
  -2/a^12 + 3/a^10 - 3/a^8 + 3/a^6 - z^2/a^14 + (8*z^2)/a^10 - (6*z^2)/a^8 + 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (4*z^4)/a^10 - 
   (9*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 54569] -> 
  2 - a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + 
   (7*z^2)/a^10 - (12*z^2)/a^8 + (15*z^2)/a^6 - (9*z^2)/a^4 - (3*z^2)/a^2 + 
   z^4 + (4*z^4)/a^10 - (16*z^4)/a^8 + (18*z^4)/a^6 - (9*z^4)/a^4 - 
   (5*z^4)/a^2 - (6*z^6)/a^8 + (11*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54570] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + 
   (11*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54571] -> -a^(-12) + 2/a^10 - 2/a^8 + 3/a^6 - 2/a^4 + 
   a^2 - z^2 + (4*z^2)/a^10 - (6*z^2)/a^8 + (5*z^2)/a^6 - z^2/a^4 - 
   (3*z^2)/a^2 + a^2*z^2 - 2*z^4 - (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 + (3*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2, 
 Knot[15, Alternating, 54572] -> -3/a^8 + 5/a^6 - 2/a^4 + a^(-2) + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (9*z^2)/a^8 + (16*z^2)/a^6 - (8*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + (17*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54573] -> 
  -2/a^12 + 4/a^10 - 3/a^8 + 2/a^4 - z^2/a^14 + (9*z^2)/a^10 - (8*z^2)/a^8 + 
   z^2/a^6 + (4*z^2)/a^4 + z^2/a^2 + (3*z^4)/a^12 + (4*z^4)/a^10 - 
   (10*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 + z^4/a^2 - (2*z^6)/a^10 - 
   (6*z^6)/a^8 - (4*z^6)/a^6 - z^6/a^4, Knot[15, Alternating, 54574] -> 
  1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + z^2/a^10 - (4*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (15*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + 
   (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54575] -> 
  -2/a^6 + 3/a^4 - z^2/a^10 + (3*z^2)/a^6 + z^2/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (7*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54576] -> 1 - a^(-6) + 2/a^4 - a^(-2) - 2*z^2 + 
   z^2/a^6 + z^2/a^4 - z^2/a^2 + 2*a^2*z^2 - 7*z^4 - z^4/a^6 + (2*z^4)/a^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54577] -> 4 - a^(-2) - 3*a^2 + a^4 + 
   7*z^2 - z^2/a^2 - 8*a^2*z^2 + 2*a^6*z^2 + 7*z^4 - (2*z^4)/a^2 - 
   7*a^2*z^4 - 6*a^4*z^4 + 3*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 - 7*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54578] -> 2 - 2*a^2 + a^4 + z^2 + z^2/a^2 - 
   5*a^2*z^2 + a^4*z^2 + a^6*z^2 + z^4 - z^4/a^4 + z^4/a^2 - 5*a^2*z^4 - 
   2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 + z^6/a^2 - a^2*z^6 - 2*a^4*z^6 + 
   2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54579] -> 
  1 + 2*z^2 + (3*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 + (4*z^4)/a^4 - 
   (10*z^4)/a^2 + 6*a^2*z^4 - 2*a^4*z^4 - 3*z^6 + (3*z^6)/a^4 - (8*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 54580] -> -a^(-12) + a^(-10) - a^(-8) + 
   3/a^6 - 3/a^4 + 2/a^2 + z^2 + (2*z^2)/a^10 + (5*z^2)/a^6 - (6*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^8 + z^4/a^6 - (7*z^4)/a^4 - z^4/a^2 - z^6/a^10 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54581] -> 1 - a^(-6) + 2/a^4 - a^(-2) - z^2 - 
   (2*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^6 + (9*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (7*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54582] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + (2*z^2)/a^4 - 
   (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - z^4/a^6 + (2*z^4)/a^2 - 
   3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + 
   z^8/a^4 + (2*z^8)/a^2, Knot[15, Alternating, 54583] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + z^2 - z^2/a^6 + (6*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54584] -> -a^(-16) - 4/a^14 + 6/a^12 - (15*z^2)/a^16 - 
   (4*z^2)/a^14 + (41*z^2)/a^12 - (35*z^4)/a^16 + (29*z^4)/a^14 + 
   (91*z^4)/a^12 - (28*z^6)/a^16 + (55*z^6)/a^14 + (92*z^6)/a^12 - 
   (9*z^8)/a^16 + (36*z^8)/a^14 + (46*z^8)/a^12 - z^10/a^16 + 
   (10*z^10)/a^14 + (11*z^10)/a^12 + z^12/a^14 + z^12/a^12, 
 Knot[15, Alternating, 54585] -> -a^(-16) - 3/a^14 + 4/a^12 + a^(-10) - 
   (10*z^2)/a^16 - (3*z^2)/a^14 + (23*z^2)/a^12 + (11*z^2)/a^10 - 
   (15*z^4)/a^16 + (9*z^4)/a^14 + (50*z^4)/a^12 + (25*z^4)/a^10 - 
   (7*z^6)/a^16 + (15*z^6)/a^14 + (44*z^6)/a^12 + (22*z^6)/a^10 - z^8/a^16 + 
   (7*z^8)/a^14 + (16*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54586] -> -a^(-16) - 2/a^14 + 2/a^12 + 
   2/a^10 - (7*z^2)/a^16 - (5*z^2)/a^14 + (17*z^2)/a^12 + (15*z^2)/a^10 - 
   (11*z^4)/a^16 + (2*z^4)/a^14 + (42*z^4)/a^12 + (29*z^4)/a^10 - 
   (6*z^6)/a^16 + (10*z^6)/a^14 + (39*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + 
   (6*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54587] -> -a^(-16) - 2/a^14 + 2/a^12 + 
   2/a^10 - (6*z^2)/a^16 - (3*z^2)/a^14 + (13*z^2)/a^12 + (13*z^2)/a^10 + 
   (3*z^2)/a^8 - (5*z^4)/a^16 + (2*z^4)/a^14 + (25*z^4)/a^12 + 
   (25*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + (16*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54588] -> -a^(-16) - a^(-14) + 3/a^10 - 
   (6*z^2)/a^16 - (6*z^2)/a^14 + (15*z^2)/a^12 + (16*z^2)/a^10 - 
   (11*z^4)/a^16 + z^4/a^14 + (41*z^4)/a^12 + (29*z^4)/a^10 - (6*z^6)/a^16 + 
   (10*z^6)/a^14 + (39*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + 
   (15*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54589] -> -a^(-16) - a^(-14) + a^(-12) + a^(-10) + 
   a^(-8) - (4*z^2)/a^16 - (3*z^2)/a^14 + (8*z^2)/a^12 + (12*z^2)/a^10 + 
   (5*z^2)/a^8 - (4*z^4)/a^16 + (19*z^4)/a^12 + (23*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^16 + (3*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54590] -> -a^(-16) - a^(-14) + 3/a^10 - (4*z^2)/a^16 - 
   (4*z^2)/a^14 + (9*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 - (4*z^4)/a^16 + 
   (20*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + 
   (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54591] -> 
  -a^(-16) - 2/a^12 + 4/a^10 - (7*z^2)/a^16 - (2*z^2)/a^14 + (9*z^2)/a^12 + 
   (18*z^2)/a^10 - (11*z^4)/a^16 + (3*z^4)/a^14 + (37*z^4)/a^12 + 
   (30*z^4)/a^10 - (6*z^6)/a^16 + (10*z^6)/a^14 + (38*z^6)/a^12 + 
   (23*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + 
   z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 54592] -> 
  -a^(-16) - a^(-12) + 2/a^10 + a^(-8) - (4*z^2)/a^16 - (3*z^2)/a^14 + 
   (7*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 - (4*z^4)/a^16 + 
   (19*z^4)/a^12 + (23*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + 
   (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54593] -> 
  -a^(-16) + 2/a^8 - (3*z^2)/a^16 - (2*z^2)/a^14 + (4*z^2)/a^12 + 
   (10*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - z^4/a^14 + (14*z^4)/a^12 + 
   (21*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (12*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54594] -> -a^(-16) - a^(-14) + 3/a^10 - 
   (3*z^2)/a^16 - (3*z^2)/a^14 + (7*z^2)/a^12 + (12*z^2)/a^10 + (5*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 + z^4/a^14 + (11*z^4)/a^12 + (17*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54595] -> 
  -a^(-16) - 2/a^12 + 4/a^10 - (4*z^2)/a^16 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (18*z^2)/a^10 + (3*z^2)/a^8 - (4*z^4)/a^16 + (17*z^4)/a^12 + 
   (27*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (14*z^6)/a^12 + 
   (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54596] -> -a^(-16) - a^(-12) + 2/a^10 + 
   a^(-8) - (2*z^2)/a^16 - (2*z^2)/a^14 + (3*z^2)/a^12 + (10*z^2)/a^10 + 
   (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 + (8*z^4)/a^12 + (15*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54597] -> 
  -a^(-16) - 2/a^14 + 3/a^12 + a^(-8) - (6*z^2)/a^16 + (11*z^2)/a^12 + 
   (7*z^2)/a^10 + (7*z^2)/a^8 - (5*z^4)/a^16 + (6*z^4)/a^14 + (18*z^4)/a^12 + 
   (17*z^4)/a^10 + (11*z^4)/a^8 - z^6/a^16 + (5*z^6)/a^14 + (11*z^6)/a^12 + 
   (11*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54598] -> -a^(-16) - a^(-14) + a^(-12) + 
   a^(-10) + a^(-8) - (3*z^2)/a^16 - z^2/a^14 + (6*z^2)/a^12 + (8*z^2)/a^10 + 
   (6*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + (2*z^4)/a^14 + (9*z^4)/a^12 + 
   (12*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54599] -> 
  -a^(-16) + 2/a^8 - (2*z^2)/a^16 - (2*z^2)/a^14 + (3*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 + (8*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54600] -> 
  -a^(-16) - 2/a^12 + 4/a^10 - (3*z^2)/a^16 - (2*z^2)/a^14 + z^2/a^12 + 
   (18*z^2)/a^10 + (4*z^2)/a^8 - (3*z^4)/a^16 - z^4/a^14 + (13*z^4)/a^12 + 
   (26*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (12*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54601] -> -a^(-16) - a^(-12) + 2/a^10 + 
   a^(-8) - (2*z^2)/a^16 - z^2/a^14 + (3*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + z^4/a^14 + (7*z^4)/a^12 + 
   (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54602] -> 
  -a^(-16) + a^(-10) + a^(-6) - (2*z^2)/a^16 - z^2/a^14 + (4*z^2)/a^12 + 
   (6*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + z^4/a^14 + 
   (7*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54603] -> -a^(-16) - 2/a^12 + 4/a^10 - (3*z^2)/a^16 - 
   (8*z^2)/a^14 + (9*z^2)/a^12 + (20*z^2)/a^10 - (7*z^4)/a^16 - 
   (6*z^4)/a^14 + (33*z^4)/a^12 + (33*z^4)/a^10 - (5*z^6)/a^16 + 
   (5*z^6)/a^14 + (34*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + 
   (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54604] -> -a^(-16) - a^(-14) + 2/a^12 - a^(-10) + 
   2/a^8 - (4*z^2)/a^16 + (6*z^2)/a^12 + (6*z^2)/a^10 + (9*z^2)/a^8 - 
   (4*z^4)/a^16 + (4*z^4)/a^14 + (12*z^4)/a^12 + (15*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54605] -> -a^(-16) - 2/a^12 + 4/a^10 - (2*z^2)/a^16 - 
   (7*z^2)/a^14 + (6*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 - (3*z^4)/a^16 - 
   (6*z^4)/a^14 + (21*z^4)/a^12 + (30*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (17*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54606] -> 
  -a^(-16) - a^(-14) + 2/a^12 + a^(-6) - (3*z^2)/a^16 + z^2/a^14 + 
   (6*z^2)/a^12 + (3*z^2)/a^10 + (5*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^16 + 
   (3*z^4)/a^14 + (7*z^4)/a^12 + (6*z^4)/a^10 + (7*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^14 + (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54607] -> -a^(-16) + a^(-14) - 4/a^12 + 5/a^10 - 
   (2*z^2)/a^16 - (3*z^2)/a^14 - z^2/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^4)/a^16 - (2*z^4)/a^14 + (12*z^4)/a^12 + (26*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (12*z^6)/a^12 + (15*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54608] -> -a^(-16) + 2/a^8 - (2*z^2)/a^16 + 
   (2*z^2)/a^12 + (6*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + 
   z^4/a^14 + (6*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54609] -> -a^(-16) + a^(-10) + a^(-6) - z^2/a^16 + 
   (3*z^2)/a^12 + (4*z^2)/a^10 + (4*z^2)/a^8 + (4*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (3*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 54610] -> -a^(-16) + 2/a^8 - z^2/a^16 + 
   (2*z^2)/a^12 + (5*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + 
   z^4/a^14 + (3*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + 
   z^4/a^4, Knot[15, Alternating, 54611] -> -a^(-16) + 2/a^14 - 6/a^12 + 
   6/a^10 - (3*z^2)/a^16 - (5*z^2)/a^14 + z^2/a^12 + (23*z^2)/a^10 - 
   (7*z^4)/a^16 - (5*z^4)/a^14 + (28*z^4)/a^12 + (34*z^4)/a^10 - 
   (5*z^6)/a^16 + (5*z^6)/a^14 + (33*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + 
   (5*z^8)/a^14 + (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54612] -> -a^(-16) + a^(-14) - 2/a^12 + 
   a^(-10) + 2/a^8 - (2*z^2)/a^16 - (3*z^2)/a^14 + (2*z^2)/a^12 + 
   (11*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - (2*z^4)/a^14 + 
   (13*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54613] -> 
  -a^(-16) + a^(-12) - 2/a^10 + 3/a^8 - (4*z^2)/a^16 + z^2/a^14 + 
   (4*z^2)/a^12 + (4*z^2)/a^10 + (10*z^2)/a^8 - (4*z^4)/a^16 + (4*z^4)/a^14 + 
   (11*z^4)/a^12 + (14*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + 
   (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54614] -> 
  -a^(-16) + a^(-12) - a^(-10) + a^(-8) + a^(-6) - (2*z^2)/a^16 + 
   (3*z^2)/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + 
   z^4/a^14 + (6*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54615] -> -a^(-16) + 2/a^14 - 6/a^12 + 6/a^10 - 
   z^2/a^16 - (5*z^2)/a^14 - (3*z^2)/a^12 + (23*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (7*z^4)/a^14 + (14*z^4)/a^12 + (32*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54616] -> -a^(-16) + a^(-14) - 3/a^12 + 3/a^10 + 
   a^(-8) - z^2/a^16 - (6*z^2)/a^14 + (2*z^2)/a^12 + (17*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (16*z^4)/a^12 + 
   (28*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54617] -> -a^(-16) - a^(-12) + 2/a^10 + a^(-8) - 
   (2*z^2)/a^16 - (6*z^2)/a^14 + (6*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 - 
   (3*z^4)/a^16 - (5*z^4)/a^14 + (19*z^4)/a^12 + (27*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (16*z^6)/a^12 + (18*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54618] -> -a^(-16) + a^(-14) - 4/a^12 + 5/a^10 - 
   (2*z^2)/a^16 - (5*z^2)/a^14 + z^2/a^12 + (21*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^4)/a^16 - (5*z^4)/a^14 + (17*z^4)/a^12 + (31*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54619] -> -a^(-16) + a^(-14) - 3/a^12 + 3/a^10 + 
   a^(-8) - z^2/a^16 - (3*z^2)/a^14 + (13*z^2)/a^10 + (6*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (8*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 54620] -> 2 - a^2 - a^4 + a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 - 4*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (3*z^4)/a^2 - 
   5*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 54621] -> -a^(-16) + a^(-14) - 2/a^12 + 
   a^(-10) + 2/a^8 - z^2/a^16 - (2*z^2)/a^14 + (9*z^2)/a^10 + (8*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - z^4/a^14 + (6*z^4)/a^12 + (14*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54622] -> 
  -a^(-16) + 2/a^12 - 4/a^10 + 4/a^8 - (3*z^2)/a^16 + (2*z^2)/a^14 + 
   z^2/a^12 + (2*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^16 + (3*z^4)/a^14 + 
   (6*z^4)/a^12 + (12*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + 
   (7*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54623] -> 
  -a^(-16) + 2/a^14 - 6/a^12 + 6/a^10 - (2*z^2)/a^16 - (5*z^2)/a^14 - 
   z^2/a^12 + (23*z^2)/a^10 + z^2/a^8 - (3*z^4)/a^16 - (6*z^4)/a^14 + 
   (18*z^4)/a^12 + (33*z^4)/a^10 + (4*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (17*z^6)/a^12 + (20*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54624] -> 
  -a^(-16) + a^(-14) - 2/a^12 + a^(-10) + 2/a^8 - z^2/a^16 - (3*z^2)/a^14 + 
   (11*z^2)/a^10 + (8*z^2)/a^8 - z^4/a^16 - (2*z^4)/a^14 + (7*z^4)/a^12 + 
   (18*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54625] -> 
  -a^(-16) + a^(-12) - a^(-8) + 2/a^6 - (2*z^2)/a^16 + z^2/a^14 + 
   (4*z^2)/a^12 + z^2/a^10 + (4*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + 
   (2*z^4)/a^14 + (5*z^4)/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^14 + (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54626] -> -2/a^16 + 6/a^14 - 11/a^12 + 8/a^10 - 
   z^2/a^18 + (2*z^2)/a^16 - (6*z^2)/a^14 - (8*z^2)/a^12 + (28*z^2)/a^10 - 
   (2*z^4)/a^16 - (12*z^4)/a^14 + (19*z^4)/a^12 + (38*z^4)/a^10 - 
   (4*z^6)/a^16 + (28*z^6)/a^12 + (25*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + 
   (13*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54627] -> -a^(-16) + a^(-12) + a^(-4) - z^2/a^16 + 
   z^2/a^14 + (3*z^2)/a^12 + (2*z^2)/a^10 + (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + z^4/a^14 + (2*z^4)/a^12 + (2*z^4)/a^10 + (2*z^4)/a^8 + 
   (2*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 54628] -> 
  4*a^6 - 2*a^8 - 2*a^10 + a^12 - 5*a^4*z^2 + 16*a^6*z^2 + a^8*z^2 - 
   9*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 6*a^4*z^4 + 22*a^6*z^4 + 8*a^8*z^4 - 
   11*a^10*z^4 + a^12*z^4 - a^2*z^6 + 15*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + 
   a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 54629] -> 
  2*a^4 - a^6 + 2*a^8 - 3*a^10 + a^12 - 2*a^2*z^2 + 4*a^4*z^2 + 3*a^6*z^2 + 
   4*a^8*z^2 - 6*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 5*a^4*z^4 + 
   7*a^6*z^4 + 4*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 5*a^6*z^6 + 
   3*a^8*z^6, Knot[15, Alternating, 54630] -> -a^(-8) + 2/a^6 - 2/a^4 + 
   2/a^2 - 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (9*z^2)/a^4 + (9*z^2)/a^2 - 
   3*z^4 + (3*z^4)/a^8 - (3*z^4)/a^6 - (12*z^4)/a^4 + (12*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (8*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54631] -> 2 - 3*a^2 + 3*a^4 - a^6 - 4*a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 + 10*a^4*z^4 - 4*a^6*z^4 - 
   6*z^6 + z^6/a^2 + 3*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54632] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 - z^2 - z^2/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 + (2*z^4)/a^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54633] -> -2 - a^(-6) + a^(-4) + 2/a^2 + a^2 + 
   (3*z^2)/a^4 - (2*z^2)/a^2 - a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + z^6 - z^6/a^6 + 
   (2*z^6)/a^4 - z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 54634] -> a^(-2) - 2*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   z^2/a^2 - 7*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 3*z^4 + z^4/a^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - 2*a^6*z^4 + z^6 - (2*z^6)/a^2 - 
   a^2*z^6 + 3*a^4*z^6 - a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54635] -> 1 - z^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 + 
   2*a^2*z^2 - a^4*z^2 - 7*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (8*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 54636] -> 4 - a^(-2) - 3*a^2 + a^4 + 3*z^2 - 
   4*a^2*z^2 + a^6*z^2 - 4*z^4 - z^4/a^4 + (3*z^4)/a^2 + 2*a^2*z^4 - 
   4*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 6*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54637] -> 2*a^2 - a^4 - 3*z^2 + 9*a^2*z^2 - 
   6*a^4*z^2 + a^8*z^2 - z^4 - z^4/a^2 + 11*a^2*z^4 - 10*a^4*z^4 + a^8*z^4 + 
   2*z^6 + 4*a^2*z^6 - 7*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54638] -> 4 + a^(-4) - 3/a^2 - a^2 + z^2 - 
   (2*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + z^4/a^6 - (3*z^4)/a^4 + 
   (6*z^4)/a^2 + 9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54639] -> 1 + 7*z^2 + z^2/a^4 - (5*z^2)/a^2 - 
   3*a^2*z^2 + 22*z^4 + (5*z^4)/a^4 - (18*z^4)/a^2 - 7*a^2*z^4 + 29*z^6 + 
   (4*z^6)/a^4 - (22*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + z^8/a^4 - (11*z^8)/a^2 - 
   5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54640] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + z^2 - 
   8*a^2*z^2 + 15*a^4*z^2 - 6*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   20*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54641] -> 4 + a^(-4) - 3/a^2 - a^2 + 10*z^2 + 
   z^2/a^4 - (7*z^2)/a^2 - 4*a^2*z^2 + 12*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (3*z^4)/a^2 - 4*a^2*z^4 + 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54642] -> a^2 + 2*a^4 - 3*a^6 + a^8 - 2*z^2 + 
   5*a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 - z^4/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 3*a^4*z^6 - 
   2*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 54643] -> 3 - a^(-2) - a^2 + 13*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (5*z^2)/a^2 - 6*a^2*z^2 + 19*z^4 + (2*z^4)/a^6 - 
   (6*z^4)/a^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (2*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54644] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 8*z^2 + z^2/a^4 - (7*z^2)/a^2 - 2*a^4*z^2 + 
   9*z^4 + z^4/a^6 - z^4/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54645] -> 1 - a^2 + 2*a^4 - a^6 - 2*z^2 + a^2*z^2 + 
   5*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 
   a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 54646] -> 
  1 + 3*z^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 + 
   3*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 - (4*z^4)/a^4 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54647] -> 2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 + 
   (5*z^2)/a^4 - (9*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + 
   (2*z^4)/a^4 - (5*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 - z^6/a^6 + z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 54648] -> -a^(-16) - 2/a^12 + 4/a^10 - (2*z^2)/a^16 - 
   (2*z^2)/a^14 + z^2/a^12 + (16*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 + (8*z^4)/a^12 + (18*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54649] -> -a^(-16) - 2/a^12 + 4/a^10 - (2*z^2)/a^16 - 
   (2*z^2)/a^14 + z^2/a^12 + (16*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 + (8*z^4)/a^12 + (18*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54650] -> -a^(-16) - a^(-12) + 2/a^10 + a^(-8) - 
   z^2/a^16 - z^2/a^14 + (2*z^2)/a^12 + (8*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (7*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 54651] -> 
  -a^(-16) - a^(-12) + 2/a^10 + a^(-8) - z^2/a^16 - z^2/a^14 + (2*z^2)/a^12 + 
   (8*z^2)/a^10 + (6*z^2)/a^8 + (2*z^2)/a^6 + z^2/a^4 + z^4/a^14 + 
   (4*z^4)/a^12 + (7*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 54652] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 - (8*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (11*z^4)/a^8 + (12*z^4)/a^6 - 
   (10*z^4)/a^4 - z^4/a^2 - (6*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54653] -> 
  -a^(-16) + a^(-14) - 4/a^12 + 5/a^10 - z^2/a^16 - (3*z^2)/a^14 - 
   (2*z^2)/a^12 + (18*z^2)/a^10 + (4*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (7*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54654] -> a^(-6) - 3/a^4 + 3/a^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - a^2*z^2 + 2*z^4 - 
   (4*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + (6*z^6)/a^6 - (9*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54655] -> 2*a^6 + 3*a^8 - 6*a^10 + 2*a^12 - 
   5*a^4*z^2 + 12*a^6*z^2 + 12*a^8*z^2 - 16*a^10*z^2 + 3*a^12*z^2 - 
   2*a^2*z^4 - 6*a^4*z^4 + 20*a^6*z^4 + 16*a^8*z^4 - 14*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + 15*a^6*z^6 + 11*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 54656] -> 1 - a^2 + 2*a^4 - a^6 - z^2 - 
   2*a^2*z^2 + 8*a^4*z^2 - 4*a^6*z^2 - 5*z^4 + (2*z^4)/a^2 - a^2*z^4 + 
   15*a^4*z^4 - 6*a^6*z^4 - 6*z^6 + z^6/a^2 + 2*a^2*z^6 + 12*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54657] -> -1 + a^(-2) + 2*a^2 - 2*a^4 + a^6 - 5*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - 10*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 54658] -> 
  -1 + 4*a^2 - 2*a^4 + 6*z^2 - (3*z^2)/a^2 - a^2*z^2 + 26*z^4 - (7*z^4)/a^2 - 
   25*a^2*z^4 + 9*a^4*z^4 + 29*z^6 - (5*z^6)/a^2 - 38*a^2*z^6 + 12*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 25*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54659] -> 
  2*a^2 - a^4 + 4*z^2 - z^2/a^4 - 3*a^2*z^2 + a^4*z^2 + 5*z^4 - (2*z^4)/a^4 + 
   (5*z^4)/a^2 - 11*a^2*z^4 + 5*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 54660] -> 
  -1 - 2/a^4 + 4/a^2 + 3*z^2 - (2*z^2)/a^6 + (7*z^2)/a^4 - (6*z^2)/a^2 + 
   12*z^4 - (7*z^4)/a^6 + (28*z^4)/a^4 - (34*z^4)/a^2 + 13*z^6 - 
   (5*z^6)/a^6 + (30*z^6)/a^4 - (43*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54661] -> -3/a^8 + 4/a^6 - z^2/a^10 + 
   (3*z^2)/a^8 - z^2/a^6 + (5*z^2)/a^4 - (6*z^4)/a^10 + (23*z^4)/a^8 - 
   (27*z^4)/a^6 + (11*z^4)/a^4 - (5*z^6)/a^10 + (28*z^6)/a^8 - (39*z^6)/a^6 + 
   (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 54662] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + 
   (4*z^2)/a^8 - (2*z^2)/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (10*z^4)/a^8 - (8*z^4)/a^6 - (4*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (7*z^6)/a^6 - (6*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54663] -> -1 + 4*a^2 - 2*a^4 + 9*z^2 - (4*z^2)/a^2 - 
   4*a^2*z^2 + a^4*z^2 + 31*z^4 - (8*z^4)/a^2 - 31*a^2*z^4 + 11*a^4*z^4 + 
   31*z^6 - (5*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - z^8/a^2 - 
   26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54664] -> 3/a^16 - 12/a^14 + 10/a^12 - z^2/a^16 - 
   (36*z^2)/a^14 + (55*z^2)/a^12 - (19*z^4)/a^16 - (17*z^4)/a^14 + 
   (107*z^4)/a^12 - (21*z^6)/a^16 + (25*z^6)/a^14 + (99*z^6)/a^12 - 
   (8*z^8)/a^16 + (27*z^8)/a^14 + (47*z^8)/a^12 - z^10/a^16 + (9*z^10)/a^14 + 
   (11*z^10)/a^12 + z^12/a^14 + z^12/a^12, Knot[15, Alternating, 54665] -> 
  2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 - (3*z^2)/a^16 - (16*z^2)/a^14 + 
   (21*z^2)/a^12 + (15*z^2)/a^10 - (10*z^4)/a^16 - (4*z^4)/a^14 + 
   (43*z^4)/a^12 + (29*z^4)/a^10 - (6*z^6)/a^16 + (9*z^6)/a^14 + 
   (39*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + (15*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54666] -> a^(-16) - 4/a^14 + 4/a^10 - (2*z^2)/a^16 - 
   (12*z^2)/a^14 + (10*z^2)/a^12 + (20*z^2)/a^10 - (7*z^4)/a^16 - 
   (7*z^4)/a^14 + (33*z^4)/a^12 + (33*z^4)/a^10 - (5*z^6)/a^16 + 
   (5*z^6)/a^14 + (34*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + 
   (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54667] -> a^(-16) - 4/a^14 + 4/a^10 - (3*z^2)/a^16 - 
   (7*z^2)/a^14 + (7*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 - (4*z^4)/a^16 - 
   z^4/a^14 + (19*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   (3*z^6)/a^14 + (14*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54668] -> 
  -5/a^12 + 6/a^10 - (2*z^2)/a^16 - (8*z^2)/a^14 + (2*z^2)/a^12 + 
   (23*z^2)/a^10 - (7*z^4)/a^16 - (6*z^4)/a^14 + (28*z^4)/a^12 + 
   (34*z^4)/a^10 - (5*z^6)/a^16 + (5*z^6)/a^14 + (33*z^6)/a^12 + 
   (24*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + (14*z^8)/a^12 + (8*z^8)/a^10 + 
   z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 54669] -> 
  -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - (2*z^2)/a^16 - (4*z^2)/a^14 + 
   (2*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - (2*z^4)/a^14 + 
   (13*z^4)/a^12 + (21*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (12*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54670] -> 
  -a^(-16) + a^(-14) - 4/a^12 + 5/a^10 - (10*z^2)/a^16 + (11*z^2)/a^14 - 
   (9*z^2)/a^12 + (25*z^2)/a^10 - (15*z^4)/a^16 + (25*z^4)/a^14 + 
   (4*z^4)/a^12 + (41*z^4)/a^10 - (7*z^6)/a^16 + (22*z^6)/a^14 + 
   (14*z^6)/a^12 + (29*z^6)/a^10 - z^8/a^16 + (8*z^8)/a^14 + (7*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^14 + z^10/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54671] -> -a^(-16) + a^(-14) - 3/a^12 + 3/a^10 + 
   a^(-8) - (6*z^2)/a^16 + (4*z^2)/a^14 + (11*z^2)/a^10 + (7*z^2)/a^8 - 
   (5*z^4)/a^16 + (7*z^4)/a^14 + (12*z^4)/a^12 + (18*z^4)/a^10 + 
   (11*z^4)/a^8 - z^6/a^16 + (5*z^6)/a^14 + (10*z^6)/a^12 + (11*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54672] -> -a^(-16) + a^(-14) - 2/a^12 + a^(-10) + 
   2/a^8 - (4*z^2)/a^16 + z^2/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 + 
   (9*z^2)/a^8 - (4*z^4)/a^16 + (4*z^4)/a^14 + (11*z^4)/a^12 + 
   (15*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + (9*z^6)/a^12 + 
   (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54673] -> -a^(-16) + a^(-14) - 2/a^12 + 
   a^(-10) + 2/a^8 - (3*z^2)/a^16 + (3*z^2)/a^12 + (6*z^2)/a^10 + 
   (7*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + (2*z^4)/a^14 + (8*z^4)/a^12 + 
   (11*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54674] -> 
  -a^(-16) + a^(-14) - a^(-12) - a^(-10) + 3/a^8 - (4*z^2)/a^16 + 
   (2*z^2)/a^14 + z^2/a^12 + (5*z^2)/a^10 + (10*z^2)/a^8 - (4*z^4)/a^16 + 
   (4*z^4)/a^14 + (10*z^4)/a^12 + (14*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + 
   (4*z^6)/a^14 + (9*z^6)/a^12 + (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54675] -> 
  -a^(-16) + a^(-14) - a^(-12) + a^(-8) + a^(-6) - (2*z^2)/a^16 + 
   (2*z^2)/a^12 + (4*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + 
   z^4/a^14 + (6*z^4)/a^12 + (9*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54676] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 17*z^2 + 
   z^2/a^4 - (10*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54677] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 6*a^2*z^2 + 
   10*a^4*z^2 - 4*a^6*z^2 - 4*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 16*a^4*z^4 - 
   6*a^6*z^4 - 6*z^6 + z^6/a^2 + a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54678] -> 2/a^16 - 9/a^14 + 7/a^12 + a^(-10) - 
   (29*z^2)/a^14 + (39*z^2)/a^12 + (8*z^2)/a^10 - (6*z^4)/a^16 - 
   (26*z^4)/a^14 + (76*z^4)/a^12 + (18*z^4)/a^10 - (5*z^6)/a^16 - 
   (3*z^6)/a^14 + (63*z^6)/a^12 + (17*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + 
   (23*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54679] -> a^(-16) - 5/a^14 + 2/a^12 + 3/a^10 - 
   z^2/a^16 - (14*z^2)/a^14 + (14*z^2)/a^12 + (16*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^4)/a^16 - (8*z^4)/a^14 + (26*z^4)/a^12 + (29*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (18*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54680] -> -a^(-14) - 3/a^12 + 5/a^10 - z^2/a^16 - 
   (7*z^2)/a^14 + (22*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + 
   (15*z^4)/a^12 + (32*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54681] -> -3/a^8 + 4/a^6 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + (4*z^4)/a^8 + 
   (6*z^4)/a^6 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - 
   z^6/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54682] -> -a^(-4) + 2/a^2 + 3*z^2 - z^2/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (4*z^4)/a^4 - (11*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (5*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 54683] -> 
  -1 - 2/a^4 + 4/a^2 - 7*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 2*a^2*z^2 - 
   13*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54684] -> 
  2*a^2 - a^4 + z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54685] -> 
  -5/a^12 + 6/a^10 - (2*z^2)/a^16 - (4*z^2)/a^14 - (2*z^2)/a^12 + 
   (19*z^2)/a^10 + (4*z^2)/a^8 - (3*z^4)/a^16 - (2*z^4)/a^14 + 
   (12*z^4)/a^12 + (26*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54686] -> 
  -a^(-16) + a^(-14) - a^(-12) - a^(-10) + 3/a^8 - (2*z^2)/a^16 + z^2/a^12 + 
   (5*z^2)/a^10 + (8*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + z^4/a^14 + 
   (6*z^4)/a^12 + (10*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + 
   (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54687] -> -a^(-4) + 2/a^2 - 5*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + 3*a^2*z^2 - 12*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - 
   (4*z^4)/a^2 + 6*a^2*z^4 - 11*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   4*a^2*z^6 - 5*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54688] -> a^(-16) - 5/a^14 + 4/a^12 - a^(-10) + 
   2/a^8 - (3*z^2)/a^16 - (6*z^2)/a^14 + (11*z^2)/a^12 + (4*z^2)/a^10 + 
   (9*z^2)/a^8 - (4*z^4)/a^16 + (2*z^4)/a^14 + (16*z^4)/a^12 + 
   (14*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + (10*z^6)/a^12 + 
   (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54689] -> -a^(-16) + a^(-14) - 2/a^12 + 
   2/a^10 + a^(-6) - (3*z^2)/a^16 + (2*z^2)/a^14 + (8*z^2)/a^10 + 
   (3*z^2)/a^8 + (4*z^2)/a^6 - z^4/a^16 + (3*z^4)/a^14 + (5*z^4)/a^12 + 
   (10*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (2*z^6)/a^12 + 
   (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54690] -> 
  -1 - 2/a^4 + 4/a^2 - z^2/a^6 + (2*z^2)/a^4 + z^2/a^2 + 6*z^4 - 
   (5*z^4)/a^6 + (17*z^4)/a^4 - (17*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + 
   (22*z^6)/a^4 - (28*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 54691] -> -1 + 4*a^2 - 2*a^4 + 11*z^2 - (4*z^2)/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + 32*z^4 - (8*z^4)/a^2 - 35*a^2*z^4 + 12*a^4*z^4 + 
   31*z^6 - (5*z^6)/a^2 - 43*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - z^8/a^2 - 
   26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54692] -> 2*a^2 - a^4 - 3*z^2 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 + a^4*z^2 - 5*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 8*a^2*z^4 + 
   5*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54693] -> 2/a^16 - 8/a^14 + 5/a^12 + 2/a^10 + 
   z^2/a^16 - (28*z^2)/a^14 + (33*z^2)/a^12 + (11*z^2)/a^10 - (6*z^4)/a^16 - 
   (24*z^4)/a^14 + (67*z^4)/a^12 + (21*z^4)/a^10 - (5*z^6)/a^16 - 
   (2*z^6)/a^14 + (58*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + 
   (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54694] -> a^(-16) - 4/a^14 + 4/a^10 - z^2/a^16 - 
   (11*z^2)/a^14 + (7*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^4)/a^16 - (7*z^4)/a^14 + (21*z^4)/a^12 + (30*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (17*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54695] -> -2 - 3/a^4 + 6/a^2 - 10*z^2 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 3*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + 
   (10*z^4)/a^2 + 6*a^2*z^4 - 12*z^6 - z^6/a^6 + (6*z^6)/a^4 + 4*a^2*z^6 - 
   5*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54696] -> 1 - 3*z^2 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   a^2*z^2 + a^4*z^2 - 7*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 7*z^6 - z^6/a^4 + (8*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54697] -> -2/a^8 + 2/a^6 + a^(-4) + (4*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 - (9*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - (3*z^6)/a^6 - (8*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54698] -> 
  a^(-16) - 6/a^14 + 4/a^12 + 2/a^10 + (2*z^2)/a^16 - (29*z^2)/a^14 + 
   (34*z^2)/a^12 + (11*z^2)/a^10 - (3*z^4)/a^16 - (31*z^4)/a^14 + 
   (70*z^4)/a^12 + (21*z^4)/a^10 - (4*z^6)/a^16 - (7*z^6)/a^14 + 
   (59*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + (22*z^8)/a^12 + 
   (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54699] -> -2/a^14 - a^(-12) + 4/a^10 - (11*z^2)/a^14 + 
   (6*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 - (2*z^4)/a^16 - (9*z^4)/a^14 + 
   (19*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + 
   (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54700] -> a^(-16) - 6/a^14 + 5/a^12 + 
   a^(-8) - z^2/a^16 - (12*z^2)/a^14 + (14*z^2)/a^12 + (11*z^2)/a^10 + 
   (5*z^2)/a^8 - (3*z^4)/a^16 - (5*z^4)/a^14 + (21*z^4)/a^12 + 
   (23*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (14*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54701] -> -2/a^14 + 2/a^10 + a^(-8) - 
   z^2/a^16 - (4*z^2)/a^14 + (2*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 + 
   z^2/a^6 - z^4/a^16 - z^4/a^14 + (7*z^4)/a^12 + (15*z^4)/a^10 + 
   (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + 
   (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54702] -> 
  -a^(-16) + a^(-14) - 3/a^12 + 3/a^10 + a^(-8) - (2*z^2)/a^16 - 
   (6*z^2)/a^14 + (6*z^2)/a^12 + (13*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^16 - 
   (6*z^4)/a^14 + (23*z^4)/a^12 + (21*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + 
   z^6/a^14 + (18*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54703] -> 
  -a^(-16) + a^(-14) - 2/a^12 + a^(-10) + 2/a^8 - z^2/a^16 - (3*z^2)/a^14 + 
   z^2/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (8*z^4)/a^12 + (16*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54704] -> -3/a^8 + 4/a^6 + z^2/a^10 - (7*z^2)/a^8 + 
   (17*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 - z^4/a^10 - (2*z^4)/a^8 + 
   (16*z^4)/a^6 - (18*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54705] -> a^(-16) - 5/a^14 + 3/a^12 + a^(-10) + 
   a^(-8) - z^2/a^16 - (13*z^2)/a^14 + (15*z^2)/a^12 + (10*z^2)/a^10 + 
   (5*z^2)/a^8 - (3*z^4)/a^16 - (8*z^4)/a^14 + (28*z^4)/a^12 + 
   (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (19*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54706] -> -a^(-14) - 2/a^12 + 3/a^10 + 
   a^(-8) - z^2/a^16 - (5*z^2)/a^14 + (2*z^2)/a^12 + (12*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + (9*z^4)/a^12 + 
   (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54707] -> 
  -2/a^8 + 2/a^6 + a^(-4) + 2*z^2 + (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + 
   2*z^4 - z^4/a^10 + (2*z^4)/a^8 - z^4/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - z^6/a^6 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54708] -> -a^(-6) + a^(-4) + a^(-2) - 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + z^4/a^6 + 
   (4*z^4)/a^4 - (4*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - 
   (4*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54709] -> -1 + a^(-2) + a^2 - z^2/a^6 + (2*z^2)/a^4 - 
   z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + z^4 - z^4/a^6 + (4*z^4)/a^4 - 
   (2*z^4)/a^2 - 4*a^2*z^4 + 2*a^4*z^4 - z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 - 
   3*a^2*z^6 + a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 54710] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   (2*z^2)/a^16 - (2*z^2)/a^14 + (2*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 + 
   (2*z^2)/a^6 - z^4/a^16 + z^4/a^14 + (7*z^4)/a^12 + (11*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54711] -> 
  -a^(-16) + a^(-14) - a^(-12) + a^(-8) + a^(-6) - z^2/a^16 + z^2/a^12 + 
   (4*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 + z^2/a^4 + z^4/a^14 + 
   (3*z^4)/a^12 + (5*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, 
 Knot[15, Alternating, 54712] -> 3*a^6 + a^8 - 5*a^10 + 2*a^12 - 4*a^4*z^2 + 
   13*a^6*z^2 + 6*a^8*z^2 - 13*a^10*z^2 + 3*a^12*z^2 - 2*a^2*z^4 - 
   6*a^4*z^4 + 20*a^6*z^4 + 11*a^8*z^4 - 13*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   15*a^6*z^6 + 10*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 54713] -> a^4 + 2*a^6 - a^8 - 2*a^10 + a^12 - 
   a^2*z^2 + a^4*z^2 + 8*a^6*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 10*a^6*z^4 + 2*a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   6*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 54714] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + z^2 - 9*a^2*z^2 + 14*a^4*z^2 - 6*a^6*z^2 - 
   4*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 20*a^4*z^4 - 7*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54715] -> 
  a^(-2) - 2*a^2 + 3*a^4 - a^6 - 3*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 3*z^4 + 
   z^4/a^4 - z^4/a^2 + 5*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - z^6 - 
   (2*z^6)/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54716] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 + z^2 - 
   z^2/a^12 + (4*z^2)/a^10 - (5*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (8*z^4)/a^8 + (6*z^4)/a^6 - 
   (10*z^4)/a^4 - (5*z^6)/a^8 + (3*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 54717] -> 
  -3 + a^(-6) - 4/a^4 + 6/a^2 + a^2 - 9*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (14*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (16*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 54718] -> 
  -a^(-4) + 2/a^2 - z^2 + z^2/a^10 - (3*z^2)/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (6*z^2)/a^2 - a^2*z^2 + z^4 - (4*z^4)/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - a^2*z^4 + 2*z^6 + (5*z^6)/a^6 - (3*z^6)/a^4 + 
   (2*z^6)/a^2 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54719] -> 
  a^(-4) - a^(-2) + a^2 - 6*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 11*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + (9*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 54720] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 - 
   (4*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 6*z^4 + z^4/a^6 - z^4/a^4 - 
   (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 54721] -> 2*a^2 - a^4 - 6*z^2 + z^2/a^2 + 9*a^2*z^2 - 
   2*a^4*z^2 - a^6*z^2 - 8*z^4 + z^4/a^4 + 13*a^2*z^4 - a^4*z^4 - a^6*z^4 - 
   3*z^6 - (2*z^6)/a^2 + 8*a^2*z^6 - a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54722] -> -2/a^14 + a^(-12) + 2/a^8 - z^2/a^16 - 
   (5*z^2)/a^14 + (6*z^2)/a^12 + (5*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - z^4/a^14 + (9*z^4)/a^12 + (11*z^4)/a^10 + (11*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 54723] -> -2/a^8 + 2/a^6 + a^(-4) + 2*z^2 - 
   z^2/a^8 + (7*z^2)/a^6 - (3*z^2)/a^4 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (5*z^4)/a^6 - (8*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54724] -> 1 - z^2 - z^2/a^8 + (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (7*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54725] -> -a^(-6) + a^(-4) + a^(-2) - 6*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (3*z^4)/a^6 - 
   (7*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (7*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 54726] -> -a^(-8) + 2/a^4 - z^2/a^10 + 
   (2*z^2)/a^8 + (3*z^2)/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - (2*z^4)/a^10 + 
   (6*z^4)/a^8 + (2*z^4)/a^6 - (14*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 - (2*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54727] -> -a^(-16) + 4/a^14 - 10/a^12 + 8/a^10 - 
   z^2/a^16 - (4*z^2)/a^14 - (9*z^2)/a^12 + (28*z^2)/a^10 - (4*z^4)/a^16 - 
   (9*z^4)/a^14 + (18*z^4)/a^12 + (38*z^4)/a^10 - (4*z^6)/a^16 + z^6/a^14 + 
   (28*z^6)/a^12 + (25*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (13*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54728] -> -2/a^14 + 3/a^12 - 4/a^10 + 4/a^8 - 
   (2*z^2)/a^16 - (3*z^2)/a^14 + (6*z^2)/a^12 + (12*z^2)/a^8 - (3*z^4)/a^16 + 
   z^4/a^14 + (10*z^4)/a^12 + (11*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + 
   (3*z^6)/a^14 + (8*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + 
   (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54729] -> 
  -a^(-16) + a^(-14) - 3/a^10 + 4/a^8 - (2*z^2)/a^16 - z^2/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 + (12*z^2)/a^8 - (3*z^4)/a^16 + z^4/a^14 + 
   (9*z^4)/a^12 + (11*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + 
   (8*z^6)/a^12 + (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + 
   (2*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54730] -> 
  -a^(-16) + a^(-14) - a^(-12) + a^(-10) - a^(-8) + 2/a^6 - (2*z^2)/a^16 + 
   (2*z^2)/a^14 - z^2/a^12 + (6*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - 
   z^4/a^16 + (2*z^4)/a^14 + (3*z^4)/a^12 + (8*z^4)/a^10 + (5*z^4)/a^8 + 
   (4*z^4)/a^6 + z^6/a^14 + (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 54731] -> 2*a^2 - a^4 + 10*z^2 - 
   (4*z^2)/a^2 - 7*a^2*z^2 + 2*a^4*z^2 + 31*z^4 - (8*z^4)/a^2 - 32*a^2*z^4 + 
   11*a^4*z^4 + 31*z^6 - (5*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - 
   z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 54732] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 + a^4*z^2 - 2*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 9*a^2*z^4 + 5*a^4*z^4 - 5*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54733] -> 
  -2 - 3/a^4 + 6/a^2 + z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^2/a^2 + 11*z^4 - 
   (7*z^4)/a^6 + (27*z^4)/a^4 - (30*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + 
   (30*z^6)/a^4 - (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 54734] -> -a^(-6) + a^(-4) + a^(-2) + 3*z^2 - 
   z^2/a^8 + (2*z^2)/a^6 + (3*z^2)/a^4 - (5*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + 
   (8*z^4)/a^6 - (12*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 54735] -> 1 + 3*z^2 - z^2/a^4 + z^2/a^2 - 
   5*a^2*z^2 + 2*a^4*z^2 + z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 9*a^2*z^4 + 
   4*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54736] -> 2/a^16 - 7/a^14 + 3/a^12 + 3/a^10 - 
   (24*z^2)/a^14 + (27*z^2)/a^12 + (13*z^2)/a^10 - (6*z^4)/a^16 - 
   (22*z^4)/a^14 + (63*z^4)/a^12 + (22*z^4)/a^10 - (5*z^6)/a^16 - 
   (2*z^6)/a^14 + (57*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + 
   (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54737] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) - z^2/a^16 - (12*z^2)/a^14 + (11*z^2)/a^12 + (13*z^2)/a^10 + 
   (4*z^2)/a^8 - (3*z^4)/a^16 - (7*z^4)/a^14 + (23*z^4)/a^12 + 
   (26*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (17*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54738] -> -a^(-14) - 3/a^12 + 5/a^10 + 
   z^2/a^16 - (14*z^2)/a^14 + (7*z^2)/a^12 + (21*z^2)/a^10 + z^2/a^8 - 
   z^4/a^16 - (16*z^4)/a^14 + (27*z^4)/a^12 + (32*z^4)/a^10 + (3*z^4)/a^8 - 
   z^6/a^16 - (3*z^6)/a^14 + (23*z^6)/a^12 + (21*z^6)/a^10 + (3*z^6)/a^8 + 
   z^8/a^14 + (6*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54739] -> a^(-16) - 5/a^14 + 3/a^12 + a^(-10) + 
   a^(-8) - (15*z^2)/a^14 + (15*z^2)/a^12 + (12*z^2)/a^10 + (4*z^2)/a^8 - 
   (2*z^4)/a^16 - (12*z^4)/a^14 + (29*z^4)/a^12 + (24*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (21*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54740] -> 2/a^10 - 9/a^8 + 12/a^6 - 6/a^4 + 2/a^2 - 
   z^2/a^10 - (9*z^2)/a^8 + (26*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (4*z^4)/a^8 + (22*z^4)/a^6 - (19*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (9*z^6)/a^8 + (12*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 54741] -> -a^(-16) + 4/a^14 - 10/a^12 + 8/a^10 - 
   z^2/a^16 - (2*z^2)/a^14 - (11*z^2)/a^12 + (26*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (6*z^4)/a^14 + (9*z^4)/a^12 + (33*z^4)/a^10 + (5*z^4)/a^8 - 
   z^6/a^16 + (14*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54742] -> 
  -a^(-16) + a^(-14) - 3/a^10 + 4/a^8 - z^2/a^16 - (2*z^2)/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 + (11*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (7*z^4)/a^12 + (9*z^4)/a^10 + (11*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (5*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54743] -> 2 + a^(-4) - 2/a^2 - z^2/a^6 + z^2/a^4 - 
   2*a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 2*a^2*z^6 + a^4*z^6 - 
   2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 54744] -> 
  1 - a^(-6) + 2/a^2 - a^2 - 3*z^2 - (3*z^2)/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 + a^2*z^2 - 11*z^4 - (3*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 + 
   5*a^2*z^4 - 11*z^6 - z^6/a^6 + (7*z^6)/a^4 - z^6/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54745] -> 1 + z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (5*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 - a^2*z^2 + 2*z^4 - (4*z^4)/a^8 + 
   (10*z^4)/a^6 - (12*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   (6*z^6)/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54746] -> 1 - 2*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (11*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - 8*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 54747] -> 1 - 4*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (9*z^4)/a^4 + (10*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 54748] -> 
  -5/a^12 + 6/a^10 - (9*z^2)/a^14 - z^2/a^12 + (24*z^2)/a^10 + z^2/a^8 - 
   (2*z^4)/a^16 - (10*z^4)/a^14 + (17*z^4)/a^12 + (35*z^4)/a^10 + 
   (3*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (18*z^6)/a^12 + (22*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54749] -> -a^(-16) + 4/a^14 - 10/a^12 + 8/a^10 - 
   z^2/a^16 - (2*z^2)/a^14 - (11*z^2)/a^12 + (26*z^2)/a^10 + (2*z^2)/a^8 - 
   (2*z^4)/a^16 - (6*z^4)/a^14 + (9*z^4)/a^12 + (33*z^4)/a^10 + (5*z^4)/a^8 - 
   z^6/a^16 + (14*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54750] -> 
  -a^(-8) + a^(-6) + a^(-2) + 2*z^2 - z^2/a^10 + (3*z^2)/a^8 - z^2/a^2 + 
   2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (3*z^4)/a^6 - z^4/a^4 - (5*z^4)/a^2 + 
   z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 54751] -> 
  -2/a^14 + 2/a^12 - a^(-8) + 2/a^6 - (2*z^2)/a^16 - z^2/a^14 + 
   (5*z^2)/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + 
   (2*z^4)/a^14 + (6*z^4)/a^12 + (5*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + 
   z^6/a^14 + (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54752] -> -a^(-16) + a^(-14) - a^(-12) + a^(-10) + 
   a^(-4) - z^2/a^16 + z^2/a^14 + z^2/a^12 + (3*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^14 + (2*z^4)/a^12 + (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 54753] -> 
  2 - a^(-4) + a^(-2) - a^2 - (2*z^2)/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 
   a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - (5*z^4)/a^2 + 5*a^2*z^4 - 
   10*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54754] -> -a^(-4) + 2/a^2 - 3*z^2 - z^2/a^8 + 
   (2*z^2)/a^6 + z^2/a^2 + 2*a^2*z^2 - 4*z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - (4*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 54755] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 3*z^4 + z^4/a^8 - (4*z^4)/a^6 + 
   z^4/a^4 - (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - z^6/a^6 - 
   (2*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54756] -> a^(-16) - 4/a^14 + 4/a^10 + (2*z^2)/a^16 - 
   (24*z^2)/a^14 + (22*z^2)/a^12 + (16*z^2)/a^10 - (3*z^4)/a^16 - 
   (27*z^4)/a^14 + (57*z^4)/a^12 + (25*z^4)/a^10 - (4*z^6)/a^16 - 
   (6*z^6)/a^14 + (53*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + 
   (21*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54757] -> a^(-16) - 5/a^14 + 4/a^12 - a^(-10) + 
   2/a^8 - z^2/a^16 - (10*z^2)/a^14 + (11*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 - (3*z^4)/a^16 - (4*z^4)/a^14 + (18*z^4)/a^12 + 
   (20*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (13*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54758] -> -a^(-16) + 2/a^14 - 4/a^12 + 
   2/a^10 + 2/a^8 - z^2/a^16 - (5*z^2)/a^14 + (2*z^2)/a^12 + (11*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (7*z^4)/a^14 + (18*z^4)/a^12 + 
   (19*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54759] -> -a^(-14) - a^(-12) + a^(-10) + 2/a^8 - 
   z^2/a^16 - (7*z^2)/a^14 + (5*z^2)/a^12 + (10*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (7*z^4)/a^14 + (19*z^4)/a^12 + (19*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54760] -> -2 - 2/a^6 + 3/a^4 + a^(-2) + a^2 - 7*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - z^4/a^6 + 
   (2*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + 
   (3*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54761] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - 4*z^2 + z^2/a^8 - (5*z^2)/a^6 + (5*z^2)/a^4 + 
   (7*z^2)/a^2 - 6*z^4 + (2*z^4)/a^8 - (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + 
   (12*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54762] -> -3/a^14 + a^(-12) + 3/a^10 + 
   z^2/a^16 - (24*z^2)/a^14 + (28*z^2)/a^12 + (13*z^2)/a^10 - (3*z^4)/a^16 - 
   (29*z^4)/a^14 + (66*z^4)/a^12 + (22*z^4)/a^10 - (4*z^6)/a^16 - 
   (7*z^6)/a^14 + (58*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (3*z^8)/a^14 + 
   (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54763] -> -3/a^14 + 2/a^12 + a^(-10) + a^(-8) - 
   (12*z^2)/a^14 + (11*z^2)/a^12 + (14*z^2)/a^10 + (4*z^2)/a^8 - 
   (2*z^4)/a^16 - (9*z^4)/a^14 + (21*z^4)/a^12 + (27*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 + (16*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54764] -> -3/a^14 + 3/a^12 - a^(-10) + 2/a^8 - 
   z^2/a^16 - (6*z^2)/a^14 + (5*z^2)/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (4*z^4)/a^14 + (12*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54765] -> -2/a^14 - a^(-12) + 4/a^10 - z^2/a^18 + 
   (7*z^2)/a^16 - (30*z^2)/a^14 + (25*z^2)/a^12 + (16*z^2)/a^10 + 
   (2*z^4)/a^16 - (38*z^4)/a^14 + (61*z^4)/a^12 + (25*z^4)/a^10 - 
   (3*z^6)/a^16 - (12*z^6)/a^14 + (54*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + 
   (2*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54766] -> -3/a^14 + 3/a^12 + a^(-6) - 
   z^2/a^16 - (4*z^2)/a^14 + (8*z^2)/a^12 + (2*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 + (8*z^4)/a^12 + (6*z^4)/a^10 + (9*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 54767] -> -a^(-16) + a^(-14) - 2/a^12 + 
   a^(-10) + 2/a^8 - (2*z^2)/a^16 - (5*z^2)/a^14 + (6*z^2)/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - (5*z^4)/a^14 + (21*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (17*z^6)/a^12 + 
   (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54768] -> -a^(-14) - 2/a^12 + 3/a^10 + 
   a^(-8) - (11*z^2)/a^14 + (7*z^2)/a^12 + (15*z^2)/a^10 + (4*z^2)/a^8 - 
   (2*z^4)/a^16 - (11*z^4)/a^14 + (24*z^4)/a^12 + (25*z^4)/a^10 + 
   (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (20*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54769] -> -1 - a^(-8) + a^(-6) - a^(-4) + 3/a^2 - 
   3*z^2 + (2*z^2)/a^8 - (3*z^2)/a^6 + (8*z^2)/a^2 - 3*z^4 + (4*z^4)/a^8 - 
   (9*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (8*z^6)/a^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54770] -> 
  -2/a^14 + 2/a^10 + a^(-8) + z^2/a^16 - (16*z^2)/a^14 + (15*z^2)/a^12 + 
   (12*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - (17*z^4)/a^14 + (34*z^4)/a^12 + 
   (22*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - (3*z^6)/a^14 + (25*z^6)/a^12 + 
   (16*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54771] -> -a^(-16) + a^(-14) - 2/a^12 + 
   2/a^10 + a^(-6) - z^2/a^16 - (3*z^2)/a^14 + (2*z^2)/a^12 + (10*z^2)/a^10 + 
   (3*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - (2*z^4)/a^14 + (9*z^4)/a^12 + 
   (14*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54772] -> 
  -2/a^14 + a^(-12) + 2/a^8 - (11*z^2)/a^14 + (11*z^2)/a^12 + (8*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (9*z^4)/a^14 + (23*z^4)/a^12 + 
   (18*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (17*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54773] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 - 
   3*z^2 + (6*z^2)/a^6 - (14*z^2)/a^4 + (13*z^2)/a^2 - 3*z^4 + (3*z^4)/a^8 - 
   z^4/a^6 - (15*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54774] -> 
  -2/a^14 + a^(-12) + a^(-10) + a^(-6) - z^2/a^16 - (4*z^2)/a^14 + 
   (4*z^2)/a^12 + (8*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (8*z^4)/a^12 + (12*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54775] -> -a^(-16) + a^(-14) - a^(-12) + a^(-8) + 
   a^(-6) - z^2/a^16 - (2*z^2)/a^14 + (2*z^2)/a^12 + (6*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (7*z^4)/a^12 + 
   (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54776] -> 
  -2/a^14 + 2/a^12 - a^(-10) + a^(-8) + a^(-6) - z^2/a^16 - (5*z^2)/a^14 + 
   (8*z^2)/a^12 + (2*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   z^4/a^14 + (10*z^4)/a^12 + (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54777] -> 4*a^6 - 2*a^8 - 2*a^10 + a^12 - 2*a^2*z^2 + 
   14*a^6*z^2 - 3*a^8*z^2 - 5*a^10*z^2 + a^12*z^2 - z^4 - 2*a^2*z^4 + 
   3*a^4*z^4 + 15*a^6*z^4 + a^8*z^4 - 4*a^10*z^4 + a^2*z^6 + 4*a^4*z^6 + 
   7*a^6*z^6 + 3*a^8*z^6, Knot[15, Alternating, 54778] -> 
  2*a^2 - 3*a^4 + 5*a^6 - 4*a^8 + a^10 - 2*z^2 + 8*a^2*z^2 - 12*a^4*z^2 + 
   14*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4/a^2 + 9*a^2*z^4 - 16*a^4*z^4 + 
   14*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 3*a^2*z^6 - 9*a^4*z^6 + 6*a^6*z^6 - 
   a^2*z^8 - 3*a^4*z^8, Knot[15, Alternating, 54779] -> 
  1 + a^2 - 3*a^4 + 3*a^6 - a^8 - 3*z^2 + 9*a^2*z^2 - 11*a^4*z^2 + 
   6*a^6*z^2 - a^8*z^2 - 5*z^4 + z^4/a^4 - z^4/a^2 + 15*a^2*z^4 - 
   13*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 9*a^2*z^6 - 6*a^4*z^6 + 
   z^8 + 3*a^2*z^8, Knot[15, Alternating, 54780] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 4*z^2 - (2*z^2)/a^2 - 6*a^2*z^2 + 7*a^4*z^2 - 
   3*a^6*z^2 + 2*z^4 + z^4/a^4 - (2*z^4)/a^2 + 6*a^4*z^4 - 2*a^6*z^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54781] -> a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 - 3*z^2 + 
   6*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 10*a^6*z^4 - 4*a^8*z^4 + 2*z^6 + 
   3*a^2*z^6 - 3*a^4*z^6 + 5*a^6*z^6 - a^2*z^8 - 2*a^4*z^8, 
 Knot[15, Alternating, 54782] -> -3/a^8 + 4/a^6 - z^2/a^14 + z^2/a^12 + 
   (3*z^2)/a^10 - (9*z^2)/a^8 + (12*z^2)/a^6 - z^4/a^14 + (5*z^4)/a^12 + 
   (3*z^4)/a^10 - (14*z^4)/a^8 + (11*z^4)/a^6 + z^4/a^4 + (3*z^6)/a^12 - 
   (2*z^6)/a^10 - (12*z^6)/a^8 + (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 54783] -> 
  -a^2 + 4*a^4 - 3*a^8 + a^10 - 3*z^2 + 11*a^4*z^2 + a^6*z^2 - 6*a^8*z^2 + 
   a^10*z^2 - 3*z^4 - z^4/a^2 + 5*a^2*z^4 + 13*a^4*z^4 + 2*a^6*z^4 - 
   4*a^8*z^4 + z^6 + 5*a^2*z^6 + 7*a^4*z^6 + 3*a^6*z^6, 
 Knot[15, Alternating, 54784] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 18*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (10*z^2)/a^2 + 15*a^2*z^2 - 4*a^4*z^2 - 23*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (15*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 15*z^6 - 
   (3*z^6)/a^4 + (10*z^6)/a^2 + 8*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 54785] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 + z^2/a^4 - (3*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 - 8*z^4 + z^4/a^6 - (3*z^4)/a^4 + (4*z^4)/a^2 + 
   11*a^2*z^4 - 3*a^4*z^4 - 9*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54786] -> 2*a^2 - a^4 + 2*z^2 - (2*z^2)/a^2 + 
   3*a^2*z^2 - 2*a^4*z^2 + 5*z^4 + z^4/a^6 - z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 2*a^4*z^4 + 4*z^6 - (2*z^6)/a^4 - z^6/a^2 + 2*a^2*z^6 - 
   a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54787] -> 
  2 - 3*a^2 + 3*a^4 - a^6 - 4*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + 
   z^4/a^4 - z^4/a^2 + a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 + 2*a^4*z^6 - a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 54788] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (5*z^2)/a^10 + (17*z^2)/a^8 - (19*z^2)/a^6 + (10*z^2)/a^4 - (8*z^4)/a^10 + 
   (34*z^4)/a^8 - (40*z^4)/a^6 + (14*z^4)/a^4 - (5*z^6)/a^10 + (31*z^6)/a^8 - 
   (44*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (26*z^8)/a^6 + 
   (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 54789] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (3*z^2)/a^8 + (7*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - (15*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54790] -> 2 - a^(-8) + a^(-6) + 2/a^4 - 3/a^2 + 
   3*z^2 - z^2/a^10 + z^2/a^8 + (4*z^2)/a^6 - z^2/a^4 - (5*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54791] -> 2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + 
   (2*z^2)/a^16 - (20*z^2)/a^14 + (12*z^2)/a^12 + (21*z^2)/a^10 - 
   (2*z^4)/a^16 - (15*z^4)/a^14 + (27*z^4)/a^12 + (35*z^4)/a^10 + 
   (2*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (21*z^6)/a^12 + (23*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54792] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - 
   (7*z^2)/a^14 - (4*z^2)/a^12 + (21*z^2)/a^10 + (4*z^2)/a^8 - z^4/a^16 - 
   (4*z^4)/a^14 + (7*z^4)/a^12 + (25*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 + 
   z^6/a^14 + (6*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54793] -> 2/a^16 - 5/a^14 - a^(-12) + 5/a^10 + 
   z^2/a^16 - (16*z^2)/a^14 + (6*z^2)/a^12 + (23*z^2)/a^10 - (2*z^4)/a^16 - 
   (13*z^4)/a^14 + (23*z^4)/a^12 + (36*z^4)/a^10 + (2*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (20*z^6)/a^12 + (23*z^6)/a^10 + (3*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54794] -> 
  -a^(-12) + 2/a^10 - 3/a^8 + 3/a^6 - a^(-4) + a^(-2) - (2*z^2)/a^12 + 
   (9*z^2)/a^10 - (9*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   z^4/a^12 + (10*z^4)/a^10 - (16*z^4)/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + 
   (3*z^4)/a^2 + (3*z^6)/a^10 - (12*z^6)/a^8 + (6*z^6)/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 54795] -> -2/a^12 + 2/a^10 - a^(-8) + 2/a^6 - 
   z^2/a^14 - z^2/a^12 + (8*z^2)/a^10 - (6*z^2)/a^8 + (9*z^2)/a^6 + z^2/a^4 - 
   z^4/a^14 + (5*z^4)/a^12 + (6*z^4)/a^10 - (14*z^4)/a^8 + (9*z^4)/a^6 + 
   (2*z^4)/a^4 + (3*z^6)/a^12 - (2*z^6)/a^10 - (13*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 54796] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 + 
   z^2/a^16 - (11*z^2)/a^14 + (2*z^2)/a^12 + (19*z^2)/a^10 + (4*z^2)/a^8 - 
   z^4/a^16 - (6*z^4)/a^14 + (11*z^4)/a^12 + (24*z^4)/a^10 + (9*z^4)/a^8 + 
   z^4/a^6 + z^6/a^14 + (7*z^6)/a^12 + (10*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54797] -> -a^(-8) + a^(-6) + a^(-2) - z^2 + z^2/a^10 - 
   (4*z^2)/a^8 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*z^4 + z^4/a^10 - 
   (7*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (9*z^6)/a^6 - (3*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 54798] -> 
  a^(-16) - 2/a^14 - 3/a^12 + 4/a^10 + a^(-8) - (8*z^2)/a^14 + 
   (15*z^2)/a^10 + (6*z^2)/a^8 - z^4/a^16 - (4*z^4)/a^14 + (9*z^4)/a^12 + 
   (21*z^4)/a^10 + (10*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (6*z^6)/a^12 + 
   (9*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54799] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) + z^2/a^10 - (8*z^2)/a^8 + (12*z^2)/a^6 - 
   z^2/a^4 + z^4/a^12 - (3*z^4)/a^10 - (5*z^4)/a^8 + (17*z^4)/a^6 - 
   (4*z^4)/a^4 - z^4/a^2 - (3*z^6)/a^10 + z^6/a^8 + (12*z^6)/a^6 - z^6/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (4*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54800] -> -a^(-14) - 3/a^12 + 5/a^10 - z^2/a^16 - 
   (5*z^2)/a^14 - z^2/a^12 + (19*z^2)/a^10 + (3*z^2)/a^8 + z^2/a^6 - 
   z^4/a^16 - (2*z^4)/a^14 + (8*z^4)/a^12 + (22*z^4)/a^10 + (8*z^4)/a^8 + 
   (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + (8*z^6)/a^10 + (4*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 54801] -> 2 - a^2 - 2*a^4 + 3*a^6 - a^8 - 
   z^2 + z^2/a^2 + a^2*z^2 - 7*a^4*z^2 + 6*a^6*z^2 - a^8*z^2 - 4*z^4 + 
   z^4/a^4 + 4*a^2*z^4 - 9*a^4*z^4 + 4*a^6*z^4 - 2*z^6 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 5*a^4*z^6 + z^8 + 2*a^2*z^8, Knot[15, Alternating, 54802] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 8*z^2 + z^2/a^4 - z^2/a^2 + 
   12*a^2*z^2 - 4*a^4*z^2 - 12*z^4 + z^4/a^6 - (3*z^4)/a^4 + (5*z^4)/a^2 + 
   13*a^2*z^4 - 3*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54803] -> 1 - 3*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (2*z^4)/a^6 + (5*z^4)/a^2 + 
   2*a^2*z^4 - 5*z^6 + (3*z^6)/a^6 - (5*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 54804] -> -a^(-4) + 2/a^2 - 4*z^2 + (3*z^2)/a^2 + 
   2*a^2*z^2 - 5*z^4 - z^4/a^8 + z^4/a^6 + (2*z^4)/a^4 - z^4/a^2 + 
   2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 + z^6/a^4 - (3*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 54805] -> 
  1 - z^2 - z^2/a^6 + (3*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 4*z^4 - z^4/a^6 + 
   (3*z^4)/a^4 + (4*z^4)/a^2 - 2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 54806] -> -5/a^12 + 6/a^10 - (2*z^2)/a^16 - 
   (3*z^2)/a^14 - z^2/a^12 + (16*z^2)/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - 
   z^4/a^16 + (8*z^4)/a^12 + (18*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (4*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54807] -> -a^(-16) + a^(-14) - a^(-12) - a^(-10) + 
   3/a^8 - z^2/a^16 - z^2/a^14 + z^2/a^12 + (6*z^2)/a^10 + (6*z^2)/a^8 + 
   (2*z^2)/a^6 + z^2/a^4 + z^4/a^14 + (4*z^4)/a^12 + (7*z^4)/a^10 + 
   (6*z^4)/a^8 + (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 54808] -> 
  1 + z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 - 2*a^2*z^2 + a^4*z^2 - 3*z^4 - 
   z^4/a^6 + (4*z^4)/a^4 - 2*a^2*z^4 + 2*a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - 
   z^6/a^2 - 2*a^2*z^6 + a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 54809] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 - 2*z^2 + 
   z^2/a^6 - (3*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 - 7*z^4 + 
   z^4/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 + 10*a^2*z^4 - 3*a^4*z^4 - 8*z^6 - 
   (3*z^6)/a^4 + (9*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 54810] -> 
  1 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 
   8*z^4 - z^4/a^8 + (6*z^4)/a^6 - (12*z^4)/a^4 + (13*z^4)/a^2 + 2*a^2*z^4 - 
   6*z^6 + (3*z^6)/a^6 - (9*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 54811] -> 
  5 - 2/a^2 - 2*a^2 + 4*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 - 
   a^2*z^2 - 5*z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - z^6/a^6 + (8*z^6)/a^4 - (5*z^6)/a^2 + 4*a^2*z^6 - 5*z^8 + 
   (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54812] -> -3/a^6 + 5/a^4 - a^(-2) - z^2/a^10 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^4)/a^10 + (9*z^4)/a^8 - 
   (4*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (5*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54813] -> 5/a^16 - 16/a^14 + 12/a^12 + (2*z^2)/a^16 - 
   (44*z^2)/a^14 + (58*z^2)/a^12 - (18*z^4)/a^16 - (22*z^4)/a^14 + 
   (108*z^4)/a^12 - (21*z^6)/a^16 + (24*z^6)/a^14 + (99*z^6)/a^12 - 
   (8*z^8)/a^16 + (27*z^8)/a^14 + (47*z^8)/a^12 - z^10/a^16 + (9*z^10)/a^14 + 
   (11*z^10)/a^12 + z^12/a^14 + z^12/a^12, Knot[15, Alternating, 54814] -> 
  3/a^16 - 9/a^14 + 4/a^12 + 3/a^10 - (2*z^2)/a^16 - (18*z^2)/a^14 + 
   (19*z^2)/a^12 + (16*z^2)/a^10 - (10*z^4)/a^16 - (5*z^4)/a^14 + 
   (42*z^4)/a^12 + (29*z^4)/a^10 - (6*z^6)/a^16 + (9*z^6)/a^14 + 
   (39*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + (15*z^8)/a^12 + 
   (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54815] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - 
   (2*z^2)/a^16 - (9*z^2)/a^14 + (2*z^2)/a^12 + (23*z^2)/a^10 - 
   (7*z^4)/a^16 - (6*z^4)/a^14 + (28*z^4)/a^12 + (34*z^4)/a^10 - 
   (5*z^6)/a^16 + (5*z^6)/a^14 + (33*z^6)/a^12 + (24*z^6)/a^10 - z^8/a^16 + 
   (5*z^8)/a^14 + (14*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54816] -> 2/a^16 - 6/a^14 + a^(-12) + 
   4/a^10 - (3*z^2)/a^16 - (13*z^2)/a^14 + (13*z^2)/a^12 + (18*z^2)/a^10 - 
   (10*z^4)/a^16 - (3*z^4)/a^14 + (38*z^4)/a^12 + (30*z^4)/a^10 - 
   (6*z^6)/a^16 + (9*z^6)/a^14 + (38*z^6)/a^12 + (23*z^6)/a^10 - z^8/a^16 + 
   (6*z^8)/a^14 + (15*z^8)/a^12 + (8*z^8)/a^10 + z^10/a^14 + (2*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54817] -> a^(-16) - 3/a^14 - a^(-12) + 
   3/a^10 + a^(-8) - (3*z^2)/a^16 - (6*z^2)/a^14 + (5*z^2)/a^12 + 
   (13*z^2)/a^10 + (5*z^2)/a^8 - (4*z^4)/a^16 - z^4/a^14 + (18*z^4)/a^12 + 
   (23*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (14*z^6)/a^12 + 
   (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54818] -> -3/a^12 + 2/a^10 + 2/a^8 - 
   (2*z^2)/a^16 - (4*z^2)/a^14 + z^2/a^12 + (11*z^2)/a^10 + (7*z^2)/a^8 - 
   (3*z^4)/a^16 - (2*z^4)/a^14 + (13*z^4)/a^12 + (21*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (12*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54819] -> -a^(-16) + 4/a^14 - 10/a^12 + 8/a^10 - 
   (7*z^2)/a^16 + (12*z^2)/a^14 - (23*z^2)/a^12 + (32*z^2)/a^10 - 
   (11*z^4)/a^16 + (19*z^4)/a^14 - (9*z^4)/a^12 + (46*z^4)/a^10 - 
   (6*z^6)/a^16 + (17*z^6)/a^14 + (8*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^16 + 
   (7*z^8)/a^14 + (6*z^8)/a^12 + (9*z^8)/a^10 + z^10/a^14 + z^10/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54820] -> -a^(-16) + 3/a^14 - 6/a^12 + 
   3/a^10 + 2/a^8 - (4*z^2)/a^16 + (4*z^2)/a^14 - (6*z^2)/a^12 + 
   (10*z^2)/a^10 + (9*z^2)/a^8 - (4*z^4)/a^16 + (5*z^4)/a^14 + (6*z^4)/a^12 + 
   (16*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + (8*z^6)/a^12 + 
   (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54821] -> -a^(-16) + 2/a^14 - 2/a^12 - 
   2/a^10 + 4/a^8 - (3*z^2)/a^16 + (3*z^2)/a^14 - (3*z^2)/a^12 + 
   (3*z^2)/a^10 + (12*z^2)/a^8 - (3*z^4)/a^16 + (3*z^4)/a^14 + (5*z^4)/a^12 + 
   (12*z^4)/a^10 + (13*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (7*z^6)/a^12 + 
   (9*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54822] -> -2/a^8 + 2/a^6 + a^(-4) - 
   z^2/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (8*z^2)/a^4 - (6*z^4)/a^10 + 
   (26*z^4)/a^8 - (36*z^4)/a^6 + (14*z^4)/a^4 - (5*z^6)/a^10 + (29*z^6)/a^8 - 
   (44*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (26*z^8)/a^6 + 
   (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 54823] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - 
   z^2/a^10 + (4*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (10*z^4)/a^8 - (5*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54824] -> -a^(-16) + a^(-14) - 3/a^10 + 4/a^8 - 
   (6*z^2)/a^16 + (7*z^2)/a^14 + z^2/a^12 - (3*z^2)/a^10 + (14*z^2)/a^8 - 
   (5*z^4)/a^16 + (11*z^4)/a^14 + (6*z^4)/a^12 + (5*z^4)/a^10 + 
   (16*z^4)/a^8 - z^6/a^16 + (6*z^6)/a^14 + (5*z^6)/a^12 + (5*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^14 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54825] -> -a^(-16) + a^(-14) - 2/a^10 + 2/a^8 + 
   a^(-6) - (3*z^2)/a^16 + (2*z^2)/a^14 + (3*z^2)/a^12 + (6*z^2)/a^8 + 
   (4*z^2)/a^6 - z^4/a^16 + (3*z^4)/a^14 + (6*z^4)/a^12 + (5*z^4)/a^10 + 
   (7*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + (2*z^6)/a^12 + (2*z^6)/a^10 + 
   (2*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54826] -> 
  -a^(-16) + a^(-14) - a^(-10) + 2/a^6 - (2*z^2)/a^16 + z^2/a^14 + 
   (3*z^2)/a^12 + (4*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + (2*z^4)/a^14 + 
   (5*z^4)/a^12 + (4*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54827] -> 3/a^16 - 11/a^14 + 8/a^12 + a^(-10) + 
   (2*z^2)/a^16 - (35*z^2)/a^14 + (43*z^2)/a^12 + (7*z^2)/a^10 - 
   (6*z^4)/a^16 - (29*z^4)/a^14 + (79*z^4)/a^12 + (17*z^4)/a^10 - 
   (5*z^6)/a^16 - (3*z^6)/a^14 + (64*z^6)/a^12 + (17*z^6)/a^10 - z^8/a^16 + 
   (4*z^8)/a^14 + (23*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 54828] -> a^(-16) - 4/a^14 + 4/a^10 - 
   z^2/a^16 - (12*z^2)/a^14 + (8*z^2)/a^12 + (20*z^2)/a^10 + z^2/a^8 - 
   (3*z^4)/a^16 - (8*z^4)/a^14 + (23*z^4)/a^12 + (32*z^4)/a^10 + 
   (4*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (18*z^6)/a^12 + (20*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54829] -> -a^(-14) - 2/a^12 + 3/a^10 + a^(-8) - 
   z^2/a^16 - (5*z^2)/a^14 + z^2/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - 
   z^4/a^16 - (2*z^4)/a^14 + (8*z^4)/a^12 + (19*z^4)/a^10 + (11*z^4)/a^8 + 
   z^4/a^6 + z^6/a^14 + (5*z^6)/a^12 + (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54830] -> 3/a^16 - 10/a^14 + 6/a^12 + 2/a^10 + 
   z^2/a^16 - (29*z^2)/a^14 + (33*z^2)/a^12 + (11*z^2)/a^10 - (6*z^4)/a^16 - 
   (24*z^4)/a^14 + (67*z^4)/a^12 + (21*z^4)/a^10 - (5*z^6)/a^16 - 
   (2*z^6)/a^14 + (58*z^6)/a^12 + (18*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + 
   (22*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54831] -> a^(-16) - 3/a^14 - 2/a^12 + 5/a^10 - 
   z^2/a^16 - (11*z^2)/a^14 + (6*z^2)/a^12 + (19*z^2)/a^10 + (2*z^2)/a^8 - 
   (3*z^4)/a^16 - (7*z^4)/a^14 + (21*z^4)/a^12 + (30*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (17*z^6)/a^12 + (19*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54832] -> a^(-16) - 4/a^14 + a^(-12) + 2/a^10 + 
   a^(-8) - z^2/a^16 - (13*z^2)/a^14 + (14*z^2)/a^12 + (10*z^2)/a^10 + 
   (5*z^2)/a^8 - (3*z^4)/a^16 - (8*z^4)/a^14 + (28*z^4)/a^12 + 
   (20*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (19*z^6)/a^12 + 
   (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54833] -> -a^(-14) - a^(-12) + a^(-10) + 
   2/a^8 - z^2/a^16 - (5*z^2)/a^14 + (2*z^2)/a^12 + (11*z^2)/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - z^4/a^16 - (2*z^4)/a^14 + (9*z^4)/a^12 + 
   (17*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (7*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54834] -> 
  -a^(-16) + 3/a^14 - 7/a^12 + 5/a^10 + a^(-8) - (2*z^2)/a^16 - z^2/a^14 - 
   (6*z^2)/a^12 + (18*z^2)/a^10 + (5*z^2)/a^8 - (3*z^4)/a^16 - (2*z^4)/a^14 + 
   (10*z^4)/a^12 + (25*z^4)/a^10 + (8*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + 
   (12*z^6)/a^12 + (15*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54835] -> 
  -a^(-16) + 2/a^14 - 3/a^12 + 3/a^8 - z^2/a^16 - z^2/a^14 - (2*z^2)/a^12 + 
   (7*z^2)/a^10 + (9*z^2)/a^8 + z^2/a^6 - z^4/a^16 - z^4/a^14 + 
   (5*z^4)/a^12 + (13*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + 
   (4*z^6)/a^12 + (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54836] -> -3/a^6 + 5/a^4 - a^(-2) + z^2 - z^2/a^8 + 
   z^2/a^6 + (5*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - z^4/a^10 + z^4/a^8 + 
   (4*z^4)/a^6 - (2*z^4)/a^4 - (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + z^6/a^6 - 
   (4*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54837] -> 3 - a^(-2) - a^2 + 2*z^2 - z^2/a^8 + 
   z^2/a^6 + (2*z^2)/a^4 - (3*z^2)/a^2 - z^4 - z^4/a^8 + (3*z^4)/a^6 + 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 2*a^2*z^4 - 2*z^6 + (2*z^6)/a^6 - 
   (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 54838] -> 2 + a^(-4) - 2/a^2 + 4*z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (8*z^2)/a^2 + z^4 - z^4/a^8 + (4*z^4)/a^6 - (3*z^4)/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 54839] -> a^(-16) - 2/a^14 - 4/a^12 + 6/a^10 - 
   (3*z^2)/a^16 - (5*z^2)/a^14 + (19*z^2)/a^10 + (3*z^2)/a^8 - (4*z^4)/a^16 - 
   z^4/a^14 + (16*z^4)/a^12 + (27*z^4)/a^10 + (7*z^4)/a^8 - z^6/a^16 + 
   (3*z^6)/a^14 + (14*z^6)/a^12 + (16*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + 
   (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54840] -> 
  -3/a^12 + 2/a^10 + 2/a^8 - (2*z^2)/a^16 - (3*z^2)/a^14 + z^2/a^12 + 
   (9*z^2)/a^10 + (7*z^2)/a^8 + z^2/a^6 - z^4/a^16 + (8*z^4)/a^12 + 
   (15*z^4)/a^10 + (10*z^4)/a^8 + (2*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (6*z^6)/a^10 + (4*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54841] -> 
  -a^(-16) + 2/a^14 - 2/a^12 - 2/a^10 + 4/a^8 - (2*z^2)/a^16 + z^2/a^14 - 
   z^2/a^12 + (3*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - z^4/a^16 + 
   z^4/a^14 + (5*z^4)/a^12 + (9*z^4)/a^10 + (9*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54842] -> -a^(-16) + a^(-14) - a^(-10) + 2/a^6 - 
   z^2/a^16 + (2*z^2)/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + (4*z^2)/a^6 + 
   z^2/a^4 + z^4/a^14 + (3*z^4)/a^12 + (4*z^4)/a^10 + (4*z^4)/a^8 + 
   (3*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 54843] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 16*z^2 - z^2/a^6 + (7*z^2)/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 19*z^4 - z^4/a^6 + (3*z^4)/a^4 + 
   (7*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 11*z^6 + (2*z^6)/a^4 + z^6/a^2 + 
   6*a^2*z^6 - 3*z^8 - z^8/a^2, Knot[15, Alternating, 54844] -> 
  a^(-16) - 4/a^14 + 4/a^10 - (13*z^2)/a^14 + (7*z^2)/a^12 + (21*z^2)/a^10 + 
   z^2/a^8 - (2*z^4)/a^16 - (11*z^4)/a^14 + (22*z^4)/a^12 + (34*z^4)/a^10 + 
   (3*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (19*z^6)/a^12 + (22*z^6)/a^10 + 
   (3*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54845] -> -2/a^6 + 3/a^4 + z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + z^2/a^4 + 2*z^4 - z^4/a^10 + (3*z^4)/a^8 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - 
   (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54846] -> a^(-16) - 4/a^14 + 3/a^12 - 2/a^10 + 3/a^8 - 
   (3*z^2)/a^16 - (5*z^2)/a^14 + (9*z^2)/a^12 + (2*z^2)/a^10 + (10*z^2)/a^8 - 
   (4*z^4)/a^16 + (2*z^4)/a^14 + (15*z^4)/a^12 + (13*z^4)/a^10 + 
   (12*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + (10*z^6)/a^12 + (10*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54847] -> -a^(-14) + a^(-8) + a^(-6) - (2*z^2)/a^16 - 
   (2*z^2)/a^14 + (3*z^2)/a^12 + (5*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - 
   z^4/a^16 + z^4/a^14 + (7*z^4)/a^12 + (10*z^4)/a^10 + (8*z^4)/a^8 + 
   (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (4*z^6)/a^10 + (3*z^6)/a^8 + 
   z^6/a^6, Knot[15, Alternating, 54848] -> -a^(-16) + 2/a^14 - 3/a^12 + 
   2/a^10 - a^(-8) + 2/a^6 - (2*z^2)/a^16 + (2*z^2)/a^14 - (2*z^2)/a^12 + 
   (6*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + (2*z^4)/a^14 + 
   (3*z^4)/a^12 + (8*z^4)/a^10 + (5*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + 
   (2*z^6)/a^12 + (3*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54849] -> 1 - a^(-8) + 3/a^4 - 2/a^2 + 3*z^2 - 
   z^2/a^10 + (3*z^2)/a^8 + (2*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + 2*z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + z^4/a^6 - (8*z^4)/a^4 - (4*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^4 - (2*z^6)/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 54850] -> -a^(-16) + a^(-14) - a^(-10) + a^(-8) + 
   a^(-4) - z^2/a^16 + z^2/a^14 + z^2/a^12 + (2*z^2)/a^10 + (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^14 + (2*z^4)/a^12 + (3*z^4)/a^10 + 
   (3*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 54851] -> 
  4 + a^(-4) - 3/a^2 - a^2 + 3*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^4 - 
   (5*z^2)/a^2 - 3*z^4 - z^4/a^8 + (5*z^4)/a^6 - (4*z^4)/a^4 + 2*a^2*z^4 - 
   5*z^6 + (3*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 54852] -> 
  2/a^16 - 6/a^14 + a^(-12) + 4/a^10 + z^2/a^16 - (23*z^2)/a^14 + 
   (21*z^2)/a^12 + (16*z^2)/a^10 - (6*z^4)/a^16 - (20*z^4)/a^14 + 
   (54*z^4)/a^12 + (25*z^4)/a^10 - (5*z^6)/a^16 - z^6/a^14 + (52*z^6)/a^12 + 
   (19*z^6)/a^10 - z^8/a^16 + (4*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 54853] -> 
  a^(-16) - 4/a^14 + 2/a^12 + 2/a^8 - z^2/a^16 - (11*z^2)/a^14 + 
   (12*z^2)/a^12 + (7*z^2)/a^10 + (7*z^2)/a^8 - (3*z^4)/a^16 - (7*z^4)/a^14 + 
   (25*z^4)/a^12 + (17*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (18*z^6)/a^12 + (13*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54854] -> 
  -1 + a^(-6) - 2/a^4 + 2/a^2 + a^2 - 8*z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - z^4/a^8 + (5*z^4)/a^6 - 
   (10*z^4)/a^4 + (15*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 54855] -> -a^(-16) + 3/a^14 - 6/a^12 + 
   3/a^10 + 2/a^8 - (2*z^2)/a^16 - (6*z^2)/a^12 + (14*z^2)/a^10 + 
   (7*z^2)/a^8 - (3*z^4)/a^16 - z^4/a^14 + (8*z^4)/a^12 + (22*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + (2*z^6)/a^14 + (11*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54856] -> 3 - a^(-2) - 2*a^4 + a^6 + 5*z^2 + z^2/a^4 - 
   (4*z^2)/a^2 + 2*a^2*z^2 - 6*a^4*z^2 + 2*a^6*z^2 - z^4/a^4 + 7*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 - 4*z^6 - z^6/a^4 + (4*z^6)/a^2 + 8*a^2*z^6 - 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 54857] -> 3*a^2 - 5*a^4 + 5*a^6 - 2*a^8 - 2*z^2 + 
   8*a^2*z^2 - 12*a^4*z^2 + 11*a^6*z^2 - 3*a^8*z^2 - 5*z^4 + (2*z^4)/a^2 + 
   11*a^2*z^4 - 15*a^4*z^4 + 10*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   8*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 54858] -> -2 + a^(-2) + 3*a^2 - a^4 - 
   8*z^2 + z^2/a^6 - z^2/a^4 + (2*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (7*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 54859] -> 
  -a^(-16) + 2/a^14 - 4/a^12 + 2/a^10 + 2/a^8 - z^2/a^16 - (3*z^2)/a^14 - 
   (2*z^2)/a^12 + (13*z^2)/a^10 + (7*z^2)/a^8 - (2*z^4)/a^16 - (4*z^4)/a^14 + 
   (10*z^4)/a^12 + (22*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + 
   (11*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + 
   (3*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 54860] -> 
  -a^(-16) + 2/a^14 - 4/a^12 + 3/a^10 + a^(-6) - z^2/a^16 - (4*z^2)/a^12 + 
   (11*z^2)/a^10 + (4*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + (3*z^4)/a^12 + 
   (13*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54861] -> 
  -4/a^12 + 4/a^10 + a^(-8) - (10*z^2)/a^14 + (4*z^2)/a^12 + (16*z^2)/a^10 + 
   (4*z^2)/a^8 - (2*z^4)/a^16 - (11*z^4)/a^14 + (23*z^4)/a^12 + 
   (25*z^4)/a^10 + (6*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (20*z^6)/a^12 + 
   (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54862] -> -a^(-16) + 3/a^14 - 6/a^12 + 
   3/a^10 + 2/a^8 - z^2/a^16 - (3*z^2)/a^14 - (3*z^2)/a^12 + (13*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - (6*z^4)/a^14 + (14*z^4)/a^12 + 
   (20*z^4)/a^10 + (9*z^4)/a^8 - z^6/a^16 + (15*z^6)/a^12 + (13*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54863] -> -a^(-16) + a^(-14) - 2/a^10 + 2/a^8 + 
   a^(-6) - z^2/a^16 - (2*z^2)/a^14 + (4*z^2)/a^12 + z^2/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (8*z^4)/a^12 + (7*z^4)/a^10 + 
   (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54864] -> 
  -a^(-14) - a^(-12) + 2/a^10 + a^(-6) - z^2/a^16 - (5*z^2)/a^14 + 
   (4*z^2)/a^12 + (9*z^2)/a^10 + (3*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - 
   (2*z^4)/a^14 + (10*z^4)/a^12 + (14*z^4)/a^10 + (6*z^4)/a^8 + (3*z^4)/a^6 + 
   z^6/a^14 + (5*z^6)/a^12 + (6*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54865] -> -a^(-16) + 2/a^14 - 3/a^12 + a^(-10) + 
   a^(-8) + a^(-6) - z^2/a^16 - z^2/a^14 - z^2/a^12 + (7*z^2)/a^10 + 
   (5*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 - z^4/a^14 + (6*z^4)/a^12 + 
   (11*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (4*z^6)/a^12 + 
   (5*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54866] -> 
  a^(-14) - 4/a^12 + a^(-10) + 3/a^8 - (3*z^2)/a^14 - (5*z^2)/a^12 + 
   (9*z^2)/a^10 + (10*z^2)/a^8 - z^4/a^16 - (3*z^4)/a^14 + (4*z^4)/a^12 + 
   (16*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + z^6/a^14 + (5*z^6)/a^12 + 
   (8*z^6)/a^10 + (5*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54867] -> 
  -4 - a^(-8) + 4/a^6 - 10/a^4 + 12/a^2 - 10*z^2 + (5*z^2)/a^6 - 
   (20*z^2)/a^4 + (29*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (3*z^4)/a^6 - 
   (14*z^4)/a^4 + (31*z^4)/a^2 - 5*z^6 + z^6/a^8 - (6*z^6)/a^6 - z^6/a^4 + 
   (18*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54868] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   7*z^2 + z^2/a^8 - (3*z^2)/a^6 - (3*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + 
   (2*z^4)/a^8 - (8*z^4)/a^6 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (5*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54869] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (7*z^2)/a^8 + (15*z^2)/a^6 - 
   (6*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (17*z^4)/a^6 - (15*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (5*z^6)/a^6 - (12*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54870] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - z^2/a^10 + z^2/a^8 - (2*z^2)/a^6 + 
   (7*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (3*z^4)/a^6 - 
   (6*z^4)/a^4 + (4*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54871] -> 
  -1 - a^(-6) + 3/a^2 - z^2/a^10 + (2*z^2)/a^8 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + 2*z^4 - z^4/a^10 + (4*z^4)/a^8 - (2*z^4)/a^6 + (2*z^4)/a^4 - 
   (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - z^6/a^4 - (3*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 54872] -> 
  -a^(-16) + 5/a^14 - 12/a^12 + 9/a^10 - (6*z^2)/a^16 + (11*z^2)/a^14 - 
   (25*z^2)/a^12 + (33*z^2)/a^10 - (11*z^4)/a^16 + (18*z^4)/a^14 - 
   (10*z^4)/a^12 + (46*z^4)/a^10 - (6*z^6)/a^16 + (17*z^6)/a^14 + 
   (8*z^6)/a^12 + (30*z^6)/a^10 - z^8/a^16 + (7*z^8)/a^14 + (6*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^14 + z^10/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54873] -> -a^(-16) + 3/a^14 - 5/a^12 + a^(-10) + 
   3/a^8 - (4*z^2)/a^16 + (5*z^2)/a^14 - (7*z^2)/a^12 + (8*z^2)/a^10 + 
   (10*z^2)/a^8 - (4*z^4)/a^16 + (5*z^4)/a^14 + (5*z^4)/a^12 + 
   (15*z^4)/a^10 + (12*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + (8*z^6)/a^12 + 
   (10*z^6)/a^10 + (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 54874] -> -a^(-16) + 2/a^14 - 2/a^12 - 
   a^(-10) + 2/a^8 + a^(-6) - (2*z^2)/a^16 + z^2/a^14 + (2*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + z^4/a^14 + (5*z^4)/a^12 + 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + 
   (4*z^6)/a^10 + (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54875] -> 
  -3/a^16 + 12/a^14 - 20/a^12 + 12/a^10 - (6*z^2)/a^16 + (20*z^2)/a^14 - 
   (42*z^2)/a^12 + (40*z^2)/a^10 - (8*z^4)/a^16 + (17*z^4)/a^14 - 
   (24*z^4)/a^12 + (51*z^4)/a^10 - (5*z^6)/a^16 + (13*z^6)/a^14 + 
   (2*z^6)/a^12 + (31*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + (5*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^14 + z^10/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54876] -> -2/a^16 + 6/a^14 - 7/a^12 + 4/a^8 - 
   (3*z^2)/a^16 + (7*z^2)/a^14 - (11*z^2)/a^12 + (6*z^2)/a^10 + 
   (12*z^2)/a^8 - (3*z^4)/a^16 + (4*z^4)/a^14 + (13*z^4)/a^10 + 
   (13*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54877] -> -a^(-16) + a^(-14) + 2/a^12 - 7/a^10 + 
   6/a^8 - (4*z^2)/a^16 + (5*z^2)/a^14 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (17*z^2)/a^8 - (4*z^4)/a^16 + (8*z^4)/a^14 + (4*z^4)/a^12 + z^4/a^10 + 
   (17*z^4)/a^8 - z^6/a^16 + (5*z^6)/a^14 + (4*z^6)/a^12 + (4*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^14 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54878] -> -a^(-16) + a^(-14) + a^(-12) - 3/a^10 + 
   a^(-8) + 2/a^6 - (2*z^2)/a^16 + (2*z^2)/a^14 + (2*z^2)/a^12 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (5*z^2)/a^6 - z^4/a^16 + (2*z^4)/a^14 + 
   (4*z^4)/a^12 + (3*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 + z^6/a^14 + 
   (2*z^6)/a^12 + (2*z^6)/a^10 + (2*z^6)/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54879] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (3*z^2)/a^8 + (11*z^2)/a^6 - (11*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   z^4/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (4*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54880] -> -a^(-16) + a^(-14) - 2/a^8 + 3/a^6 - 
   (3*z^2)/a^16 + (4*z^2)/a^14 + z^2/a^12 + z^2/a^10 + (7*z^2)/a^6 - 
   z^4/a^16 + (4*z^4)/a^14 + (3*z^4)/a^12 + (3*z^4)/a^10 + (3*z^4)/a^8 + 
   (5*z^4)/a^6 + z^6/a^14 + z^6/a^12 + z^6/a^10 + z^6/a^8 + z^6/a^6, 
 Knot[15, Alternating, 54881] -> -a^(-16) + a^(-14) - a^(-8) + a^(-6) + 
   a^(-4) - z^2/a^16 + z^2/a^14 + (2*z^2)/a^12 + z^2/a^10 + z^2/a^8 + 
   (3*z^2)/a^6 + (2*z^2)/a^4 + z^4/a^14 + (2*z^4)/a^12 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (2*z^4)/a^6 + z^4/a^4, Knot[15, Alternating, 54882] -> 
  1 + a^(-8) - 3/a^6 + 3/a^4 - a^(-2) + 2*z^2 - z^2/a^10 + (5*z^2)/a^8 - 
   (7*z^2)/a^6 + (4*z^2)/a^4 - (3*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 - 
   (4*z^4)/a^6 - (4*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (2*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 54883] -> -5 - 2/a^6 + 2/a^4 + 4/a^2 + 2*a^2 - 
   14*z^2 + (11*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 + z^6/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54884] -> -2 - 2/a^8 + 7/a^6 - 11/a^4 + 9/a^2 - 
   5*z^2 + (11*z^2)/a^6 - (26*z^2)/a^4 + (22*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 + 
   (2*z^4)/a^6 - (26*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54885] -> -2/a^16 + 7/a^14 - 11/a^12 + 5/a^10 + 
   2/a^8 - (2*z^2)/a^16 + (5*z^2)/a^14 - (16*z^2)/a^12 + (18*z^2)/a^10 + 
   (7*z^2)/a^8 - (2*z^4)/a^16 - z^4/a^14 + z^4/a^12 + (24*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (9*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54886] -> -a^(-16) + a^(-14) + a^(-12) - 4/a^10 + 
   3/a^8 + a^(-6) - z^2/a^16 - z^2/a^14 + (4*z^2)/a^12 - (3*z^2)/a^10 + 
   (9*z^2)/a^8 + (3*z^2)/a^6 - z^4/a^16 + (6*z^4)/a^12 + (4*z^4)/a^10 + 
   (9*z^4)/a^8 + (3*z^4)/a^6 + z^6/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + 
   (3*z^6)/a^8 + z^6/a^6, Knot[15, Alternating, 54887] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + z^2/a^8 - z^2/a^6 - (5*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 + (3*z^4)/a^8 - (4*z^4)/a^6 - (8*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (7*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54888] -> 
  -3/a^16 + 12/a^14 - 20/a^12 + 12/a^10 - (6*z^2)/a^16 + (20*z^2)/a^14 - 
   (42*z^2)/a^12 + (40*z^2)/a^10 - (8*z^4)/a^16 + (17*z^4)/a^14 - 
   (24*z^4)/a^12 + (51*z^4)/a^10 - (5*z^6)/a^16 + (13*z^6)/a^14 + 
   (2*z^6)/a^12 + (31*z^6)/a^10 - z^8/a^16 + (6*z^8)/a^14 + (5*z^8)/a^12 + 
   (9*z^8)/a^10 + z^10/a^14 + z^10/a^12 + z^10/a^10, 
 Knot[15, Alternating, 54889] -> -2/a^16 + 6/a^14 - 7/a^12 + 4/a^8 - 
   (3*z^2)/a^16 + (7*z^2)/a^14 - (11*z^2)/a^12 + (6*z^2)/a^10 + 
   (12*z^2)/a^8 - (3*z^4)/a^16 + (4*z^4)/a^14 + (13*z^4)/a^10 + 
   (13*z^4)/a^8 - z^6/a^16 + (3*z^6)/a^14 + (6*z^6)/a^12 + (9*z^6)/a^10 + 
   (6*z^6)/a^8 + z^8/a^14 + (2*z^8)/a^12 + (2*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54890] -> -a^(-16) + 6/a^12 - 12/a^10 + 8/a^8 - 
   (3*z^2)/a^16 + (4*z^2)/a^14 + (5*z^2)/a^12 - (16*z^2)/a^10 + 
   (20*z^2)/a^8 - (3*z^4)/a^16 + (6*z^4)/a^14 + (3*z^4)/a^12 - (3*z^4)/a^10 + 
   (18*z^4)/a^8 - z^6/a^16 + (4*z^6)/a^14 + (3*z^6)/a^12 + (3*z^6)/a^10 + 
   (7*z^6)/a^8 + z^8/a^14 + z^8/a^12 + z^8/a^10 + z^8/a^8, 
 Knot[15, Alternating, 54891] -> -a^(-16) + a^(-14) + a^(-10) - 4/a^8 + 
   4/a^6 - (2*z^2)/a^16 + (3*z^2)/a^14 + z^2/a^12 + z^2/a^10 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - z^4/a^16 + (3*z^4)/a^14 + (2*z^4)/a^12 + (2*z^4)/a^10 + 
   (2*z^4)/a^8 + (5*z^4)/a^6 + z^6/a^14 + z^6/a^12 + z^6/a^10 + z^6/a^8 + 
   z^6/a^6, Knot[15, Alternating, 54892] -> a^(-18) - 9/a^16 + 25/a^14 - 
   32/a^12 + 16/a^10 - (9*z^2)/a^16 + (36*z^2)/a^14 - (64*z^2)/a^12 + 
   (48*z^2)/a^10 - (6*z^4)/a^16 + (20*z^4)/a^14 - (40*z^4)/a^12 + 
   (56*z^4)/a^10 - (4*z^6)/a^16 + (10*z^6)/a^14 - (4*z^6)/a^12 + 
   (32*z^6)/a^10 - z^8/a^16 + (5*z^8)/a^14 + (4*z^8)/a^12 + (9*z^8)/a^10 + 
   z^10/a^14 + z^10/a^12 + z^10/a^10, Knot[15, Alternating, 54893] -> 
  -a^(-16) + a^(-14) - a^(-6) + 2/a^4 - z^2/a^16 + (2*z^2)/a^14 + z^2/a^12 + 
   z^2/a^10 + z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^4/a^14 + z^4/a^12 + 
   z^4/a^10 + z^4/a^8 + z^4/a^6 + z^4/a^4, Knot[15, Alternating, 54894] -> 
  -a^(-16) + a^(-14) + a^(-2) + z^2/a^14 + z^2/a^12 + z^2/a^10 + z^2/a^8 + 
   z^2/a^6 + z^2/a^4 + z^2/a^2, Knot[15, Alternating, 54895] -> 
  -5 + 2/a^6 - 10/a^4 + 14/a^2 - 4*z^2 - (6*z^2)/a^4 + (14*z^2)/a^2 + 9*z^4 - 
   (5*z^4)/a^6 + (19*z^4)/a^4 - (19*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + 
   (26*z^6)/a^4 - (39*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 54896] -> -4 + 2/a^6 - 9/a^4 + 12/a^2 - 4*z^2 + 
   z^2/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 7*z^4 - (4*z^4)/a^6 + 
   (14*z^4)/a^4 - (14*z^4)/a^2 + 12*z^6 - (4*z^6)/a^6 + (24*z^6)/a^4 - 
   (35*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (25*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54897] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 + 3*z^2 - z^2/a^4 + z^2/a^2 - a^2*z^2 - 
   (2*z^4)/a^6 + (7*z^4)/a^4 - (6*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - z^6/a^6 + 
   (7*z^6)/a^4 - (7*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54898] -> 
  -3 + 11*a^2 - 10*a^4 + 3*a^6 - z^2 + 10*a^2*z^2 - 12*a^4*z^2 + 4*a^6*z^2 + 
   6*z^4 - 16*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 + 5*z^6 - 27*a^2*z^6 + 
   32*a^4*z^6 - 11*a^6*z^6 + z^8 - 13*a^2*z^8 + 24*a^4*z^8 - 6*a^6*z^8 - 
   2*a^2*z^10 + 8*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 54899] -> 2 - a^(-2) + 3*a^2 - 5*a^4 + 2*a^6 + 3*z^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 
   8*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + z^6/a^2 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54900] -> -5 + 2/a^6 - 10/a^4 + 14/a^2 - 4*z^2 - 
   (6*z^2)/a^4 + (14*z^2)/a^2 + 9*z^4 - (5*z^4)/a^6 + (19*z^4)/a^4 - 
   (19*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (39*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54901] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 + (2*z^2)/a^4 + 3*a^2*z^2 + 8*z^4 + 
   (5*z^4)/a^4 - (15*z^4)/a^2 - 3*a^2*z^4 + 23*z^6 + (4*z^6)/a^4 - 
   (21*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54902] -> 
  1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + z^2/a^6 + (2*z^2)/a^4 - (6*z^2)/a^2 + 
   a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - (3*z^4)/a^2 - 2*a^2*z^4 + 
   6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54903] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 + 2*a^2*z^2 - 
   4*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 
   4*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 6*a^4*z^6 - 16*a^6*z^6 + 
   12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 10*a^6*z^8 + 3*a^8*z^8 - 
   a^4*z^10 - 2*a^6*z^10, Knot[15, Alternating, 54904] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^8 - z^2/a^6 - (2*z^2)/a^4 + 
   (3*z^2)/a^2 + (4*z^4)/a^8 - (10*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + 
   (4*z^6)/a^8 - (19*z^6)/a^6 + (19*z^6)/a^4 - (7*z^6)/a^2 + z^8/a^8 - 
   (11*z^8)/a^6 + (18*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54905] -> 
  a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 - z^2/a^6 - z^2/a^4 + (2*z^4)/a^8 - 
   (6*z^4)/a^6 + (3*z^4)/a^4 - (2*z^4)/a^2 - 2*z^6 + z^6/a^8 - (6*z^6)/a^6 + 
   (4*z^6)/a^4 + (2*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54906] -> 
  -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 + a^2*z^2 - 2*a^4*z^2 + 12*a^6*z^2 - 
   4*a^8*z^2 - a^10*z^2 + 4*a^2*z^4 - a^4*z^4 - 9*a^6*z^4 + 14*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 4*a^4*z^6 - 20*a^6*z^6 + 13*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 11*a^6*z^8 + 3*a^8*z^8 - a^4*z^10 - 2*a^6*z^10, 
 Knot[15, Alternating, 54907] -> -a^2 + 3*a^4 + 2*a^6 - 4*a^8 + a^10 + 
   a^2*z^2 + 2*a^4*z^2 + 3*a^6*z^2 - a^10*z^2 + z^4 + 3*a^2*z^4 - 6*a^4*z^4 - 
   a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 8*a^4*z^6 - 4*a^6*z^6 + 3*a^8*z^6 - 
   a^2*z^8 - 3*a^4*z^8 - 2*a^6*z^8, Knot[15, Alternating, 54908] -> 
  2/a^10 - 10/a^8 + 12/a^6 - 3/a^4 - (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (19*z^2)/a^6 - (4*z^2)/a^4 - (7*z^4)/a^10 + (20*z^4)/a^8 - (7*z^4)/a^6 + 
   (5*z^4)/a^4 - (5*z^6)/a^10 + (28*z^6)/a^8 - (31*z^6)/a^6 + (11*z^6)/a^4 - 
   z^8/a^10 + (13*z^8)/a^8 - (24*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - 
   (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 54909] -> 
  a^(-10) - 5/a^8 + 4/a^6 + 2/a^4 - a^(-2) - (2*z^2)/a^10 + (5*z^2)/a^6 + 
   (4*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - (2*z^4)/a^6 + 
   (2*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (5*z^6)/a^4 + 
   (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54910] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 - (2*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 + 3*z^4 - 
   (5*z^4)/a^6 + (15*z^4)/a^4 - (8*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 54911] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 6*z^6 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54912] -> 4 - 2/a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 11*z^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   19*z^6 - (4*z^6)/a^2 - 19*a^2*z^6 + 7*a^4*z^6 + 11*z^8 - z^8/a^2 - 
   18*a^2*z^8 + 5*a^4*z^8 + 2*z^10 - 7*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54913] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 3*z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + 7*z^4 - z^4/a^4 - 5*a^2*z^4 + 2*a^4*z^4 + 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54914] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2/a^8 - 
   z^2/a^6 - (2*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^8 - (10*z^4)/a^6 + 
   (4*z^4)/a^4 - z^4/a^2 + (4*z^6)/a^8 - (19*z^6)/a^6 + (19*z^6)/a^4 - 
   (7*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (18*z^8)/a^4 - (5*z^8)/a^2 - 
   (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 54915] -> a^(-6) - 3/a^4 + 3/a^2 + z^2 + z^2/a^8 - 
   z^2/a^6 - z^2/a^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 - 2*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 
   z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54916] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 6*z^2 + 
   (2*z^2)/a^4 + 3*a^2*z^2 + 8*z^4 + (5*z^4)/a^4 - (15*z^4)/a^2 - 3*a^2*z^4 + 
   23*z^6 + (4*z^6)/a^4 - (21*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - 
   (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54917] -> 1 - a^(-6) + 4/a^4 - 4/a^2 + a^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + 3*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 
   (3*z^4)/a^2 - 2*a^2*z^4 + 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + (2*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54918] -> 4 - 2/a^2 - a^4 + 3*z^2 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 3*a^4*z^2 + 11*z^4 - (4*z^4)/a^2 - 3*a^2*z^4 + a^4*z^4 + 
   19*z^6 - (4*z^6)/a^2 - 19*a^2*z^6 + 7*a^4*z^6 + 11*z^8 - z^8/a^2 - 
   18*a^2*z^8 + 5*a^4*z^8 + 2*z^10 - 7*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54919] -> -1 - a^(-4) + 2/a^2 + 2*a^2 - a^4 + 3*z^2 - 
   z^2/a^2 + a^2*z^2 - a^4*z^2 + 7*z^4 - z^4/a^4 - 5*a^2*z^4 + 2*a^4*z^4 + 
   2*z^6 - z^6/a^4 + (4*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 2*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54920] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 + 2*a^2*z^2 - 
   4*a^4*z^2 + 12*a^6*z^2 - 4*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 6*a^4*z^4 - 
   4*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 6*a^4*z^6 - 16*a^6*z^6 + 
   12*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 10*a^6*z^8 + 3*a^8*z^8 - 
   a^4*z^10 - 2*a^6*z^10, Knot[15, Alternating, 54921] -> 
  -2 - 3/a^4 + 6/a^2 - 3*z^2 - (2*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 + 3*z^4 - 
   (5*z^4)/a^6 + (15*z^4)/a^4 - (8*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 54922] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 2*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - a^2*z^2 - 3*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   z^4/a^2 + 2*a^2*z^4 - 6*z^6 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54923] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 6/a^2 - 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (23*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + 
   z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54924] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   22*z^2 + z^2/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   24*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 + 
   z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54925] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 10*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (22*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 12*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - z^6/a^6 - (4*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54926] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 22*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (23*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 24*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 + z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54927] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   10*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 
   12*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   z^6/a^6 - (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54928] -> -7 + 2/a^6 - 6/a^4 + 9/a^2 + 3*a^2 - 
   23*z^2 + z^2/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   21*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + 
   (2*z^6)/a^4 + (2*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54929] -> 
  -5 + a^(-8) - 2/a^6 + a^(-4) + 3/a^2 + 3*a^2 - 9*z^2 - (4*z^2)/a^6 + 
   (5*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (4*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 54930] -> 
  -8 + a^(-6) - 3/a^4 + 7/a^2 + 4*a^2 - 19*z^2 + (2*z^2)/a^6 - (10*z^2)/a^4 + 
   (17*z^2)/a^2 + 8*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (2*z^4)/a^6 - 
   (11*z^4)/a^4 + (22*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 54931] -> 
  -1 + a^(-6) - 2/a^4 + 3/a^2 - 2*a^2 + 2*a^4 - 3*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + z^4/a^6 - 
   (4*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - (2*z^6)/a^4 + 
   (2*z^6)/a^2 - 3*a^2*z^6 + z^8 + z^8/a^2, Knot[15, Alternating, 54932] -> 
  a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 8/a^2 - 4*z^2 + z^2/a^10 - 
   (9*z^2)/a^8 + (28*z^2)/a^6 - (38*z^2)/a^4 + (20*z^2)/a^2 - 4*z^4 - 
   (3*z^4)/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + (20*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 + (2*z^6)/a^6 - (15*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54933] -> a^(-10) - 4/a^8 + 9/a^6 - 11/a^4 + 6/a^2 - 
   2*z^2 + z^2/a^10 - (8*z^2)/a^8 + (19*z^2)/a^6 - (23*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (19*z^4)/a^4 + 
   (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 + 
   z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54934] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   22*z^2 + z^2/a^6 - (11*z^2)/a^4 + (23*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 
   24*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 + 
   z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54935] -> 
  -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 10*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (22*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 12*z^4 + (4*z^4)/a^6 - 
   (18*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - z^6/a^6 - (4*z^6)/a^4 + 
   (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 54936] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 22*z^2 + z^2/a^6 - (11*z^2)/a^4 + 
   (23*z^2)/a^2 + 8*a^2*z^2 - a^4*z^2 - 24*z^4 - (5*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - 2*a^4*z^4 - 12*z^6 + z^6/a^4 + (5*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54937] -> -1 - a^(-8) + 5/a^6 - 9/a^4 + 7/a^2 - 
   10*z^2 - z^2/a^8 + (8*z^2)/a^6 - (22*z^2)/a^4 + (24*z^2)/a^2 + a^2*z^2 - 
   12*z^4 + (4*z^4)/a^6 - (18*z^4)/a^4 + (27*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - 
   z^6/a^6 - (4*z^6)/a^4 + (13*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54938] -> 5 - 2/a^2 - 2*a^2 - 6*z^2 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - z^4/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 + 
   4*z^6 + (2*z^6)/a^4 - (6*z^6)/a^2 - 3*a^2*z^6 + 12*z^8 + z^8/a^4 - 
   (8*z^8)/a^2 - 4*a^2*z^8 + 6*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54939] -> -2 + 9*a^2 - 9*a^4 + 3*a^6 + z^2 + 
   5*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 + 7*z^4 - 20*a^2*z^4 + 13*a^4*z^4 - 
   5*a^6*z^4 + 5*z^6 - 28*a^2*z^6 + 32*a^4*z^6 - 11*a^6*z^6 + z^8 - 
   13*a^2*z^8 + 24*a^4*z^8 - 6*a^6*z^8 - 2*a^2*z^10 + 8*a^4*z^10 - a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 54940] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + 5*z^4 + (2*z^4)/a^4 - 
   (6*z^4)/a^2 - 3*a^2*z^4 + 22*z^6 + (3*z^6)/a^4 - (16*z^6)/a^2 - 
   8*a^2*z^6 + 19*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54941] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 8*z^6 - 
   (3*z^6)/a^6 + (16*z^6)/a^4 - (22*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (10*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54942] -> 1 - 8*z^2 + (4*z^2)/a^2 + 
   4*a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 17*z^6 + (3*z^6)/a^4 - 
   (15*z^6)/a^2 - 7*a^2*z^6 + 18*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54943] -> 
  2 - a^(-2) + a^2 - a^4 - 4*z^2 + z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - 
   z^4/a^2 + a^4*z^4 + 14*z^6 - (3*z^6)/a^2 - 18*a^2*z^6 + 7*a^4*z^6 + 
   10*z^8 - z^8/a^2 - 18*a^2*z^8 + 5*a^4*z^8 + 2*z^10 - 7*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54944] -> 
  1 - 8*z^2 + (4*z^2)/a^2 + 4*a^2*z^2 - 2*z^4 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   17*z^6 + (3*z^6)/a^4 - (15*z^6)/a^2 - 7*a^2*z^6 + 18*z^8 + z^8/a^4 - 
   (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54945] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 14*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 5*a^2*z^2 + 11*z^4 + (4*z^4)/a^4 - (13*z^4)/a^2 - 
   6*a^2*z^4 + 34*z^6 + (4*z^6)/a^4 - (24*z^6)/a^2 - 12*a^2*z^6 + 25*z^8 + 
   z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 54946] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - z^2 + (4*z^2)/a^4 - (6*z^2)/a^2 + a^2*z^2 + 6*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 - (3*z^4)/a^2 - 4*a^2*z^4 + 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (4*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 54947] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 4*z^2 - z^2/a^6 - (3*z^2)/a^4 + 
   (12*z^2)/a^2 + 7*z^4 - (5*z^4)/a^6 + (18*z^4)/a^4 - (15*z^4)/a^2 + 
   12*z^6 - (4*z^6)/a^6 + (25*z^6)/a^4 - (35*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54948] -> 2 - a^(-2) + a^2 - a^4 - 4*z^2 + 
   z^2/a^2 + 8*a^2*z^2 - 3*a^4*z^2 + 2*z^4 - z^4/a^2 + a^4*z^4 + 14*z^6 - 
   (3*z^6)/a^2 - 18*a^2*z^6 + 7*a^4*z^6 + 10*z^8 - z^8/a^2 - 18*a^2*z^8 + 
   5*a^4*z^8 + 2*z^10 - 7*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 54949] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 2*z^2 + 
   z^2/a^4 + z^2/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 - 3*a^4*z^4 + 9*z^6 + z^6/a^4 - (9*z^6)/a^2 + 7*a^2*z^6 - 
   4*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 54950] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 3*z^2 + 
   z^2/a^6 - z^2/a^2 + 2*z^4 + z^4/a^6 - (4*z^4)/a^4 - z^4/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + z^6/a^2 + 2*a^2*z^6 - a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 54951] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 3*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (10*z^2)/a^2 + 3*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (5*z^4)/a^2 + 8*z^6 - 
   (3*z^6)/a^6 + (16*z^6)/a^4 - (22*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (10*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54952] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 
   7*z^2 + (2*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 + 4*z^4 - z^4/a^2 - 
   7*a^2*z^4 + 4*a^4*z^4 + 15*z^6 - (3*z^6)/a^2 - 23*a^2*z^6 + 8*a^4*z^6 + 
   10*z^8 - z^8/a^2 - 19*a^2*z^8 + 5*a^4*z^8 + 2*z^10 - 7*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54953] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 9*z^2 - z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^4 - (6*z^4)/a^2 - 3*a^2*z^4 + 22*z^6 + (3*z^6)/a^4 - 
   (16*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 
   7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54954] -> 
  4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + (2*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 - 5*a^2*z^4 + 8*a^4*z^4 - 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 
   10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54955] -> 
  -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^4 + 4*a^2*z^2 + 5*z^4 + (5*z^4)/a^4 - 
   (14*z^4)/a^2 - 2*a^2*z^4 + 22*z^6 + (4*z^6)/a^4 - (21*z^6)/a^2 - 
   8*a^2*z^6 + 19*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 54956] -> 
  -a^(-4) + 2/a^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^8 - 
   (11*z^4)/a^6 + (8*z^4)/a^4 - (3*z^4)/a^2 + (4*z^6)/a^8 - (20*z^6)/a^6 + 
   (23*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - 
   (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 54957] -> 3*a^2 - 3*a^4 + a^6 - 4*z^2 + (2*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 10*z^4 + (3*z^4)/a^2 + 5*a^2*z^4 + 
   a^4*z^4 - 2*a^6*z^4 - 8*z^6 + z^6/a^2 + 6*a^2*z^6 + 5*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54958] -> 1 + z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54959] -> a^(-6) - 3/a^4 + 3/a^2 + 
   (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + (2*z^2)/a^2 + (5*z^4)/a^8 - 
   (16*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + (4*z^6)/a^8 - (21*z^6)/a^6 + 
   (24*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - 
   (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 54960] -> 2 + a^(-4) - 2/a^2 + z^2/a^8 - (3*z^2)/a^4 + 
   z^2/a^2 - 3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54961] -> -3 + a^(-6) - 6/a^4 + 9/a^2 - 3*z^2 - 
   z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 5*z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 - 
   (12*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (22*z^6)/a^4 - (27*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54962] -> 
  -1 + 6*a^2 - 6*a^4 + 2*a^6 + z^2 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + 
   (2*z^4)/a^2 - 10*a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + z^6/a^2 - 
   3*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 54963] -> 
  -3 + a^(-6) - 6/a^4 + 9/a^2 - 3*z^2 - z^2/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 + 
   5*z^4 - (5*z^4)/a^6 + (16*z^4)/a^4 - (12*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + 
   (22*z^6)/a^4 - (27*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 54964] -> 4 - a^(-2) - 3*a^2 + a^4 - 4*z^2 + 
   (2*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 11*z^4 - z^4/a^4 + (5*z^4)/a^2 + 
   8*a^2*z^4 - 2*a^4*z^4 - 7*z^6 - z^6/a^4 + (5*z^6)/a^2 + 2*a^2*z^6 + 
   a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 2*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54965] -> 1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^6 - 
   z^2/a^4 + z^2/a^2 - z^4 + z^4/a^8 - z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 + (4*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (2*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54966] -> a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - 
   (6*z^4)/a^2 - 2*a^2*z^4 + 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54967] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^4 + (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 
   3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54968] -> 
  4 + a^(-4) - 3/a^2 - a^2 - 3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 
   2*a^2*z^2 - 7*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 + 
   z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 54969] -> 
  a^(-10) - 7/a^8 + 9/a^6 - 2/a^4 - (2*z^2)/a^10 - (6*z^2)/a^8 + 
   (20*z^2)/a^6 - (5*z^2)/a^4 - (7*z^4)/a^10 + (19*z^4)/a^8 - (4*z^4)/a^6 + 
   (4*z^4)/a^4 - (5*z^6)/a^10 + (28*z^6)/a^8 - (30*z^6)/a^6 + (11*z^6)/a^4 - 
   z^8/a^10 + (13*z^8)/a^8 - (24*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - 
   (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 54970] -> 
  a^(-10) - 6/a^8 + 7/a^6 - a^(-4) - (2*z^2)/a^10 + (5*z^2)/a^6 + 
   (5*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - (3*z^4)/a^6 + 
   (3*z^4)/a^4 + z^4/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54971] -> 
  -2/a^8 + a^(-6) + 3/a^4 - a^(-2) - (2*z^2)/a^10 + z^2/a^8 + (3*z^2)/a^6 + 
   (6*z^2)/a^4 - (2*z^2)/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 + z^4/a^6 - 
   (2*z^4)/a^4 + (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 54972] -> 
  -a^(-8) - a^(-6) + 4/a^4 - a^(-2) - z^2 - z^2/a^10 + (3*z^2)/a^6 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 + (4*z^4)/a^6 - 
   (4*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^4 - z^6/a^2 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 54973] -> 
  -1 - a^(-6) + 3/a^2 - 4*z^2 - (2*z^2)/a^6 + z^2/a^4 + (8*z^2)/a^2 + 2*z^4 - 
   (5*z^4)/a^6 + (14*z^4)/a^4 - (5*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (22*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 54974] -> -1 + a^(-2) + a^2 - 7*z^2 + (2*z^2)/a^4 + 
   4*a^2*z^2 + 5*z^4 + (5*z^4)/a^4 - (14*z^4)/a^2 - 2*a^2*z^4 + 22*z^6 + 
   (4*z^6)/a^4 - (21*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + z^8/a^4 - (11*z^8)/a^2 - 
   5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 54975] -> -a^(-4) + 2/a^2 + (2*z^2)/a^6 - 
   (4*z^2)/a^4 + (3*z^2)/a^2 + (4*z^4)/a^8 - (11*z^4)/a^6 + (8*z^4)/a^4 - 
   (3*z^4)/a^2 + (4*z^6)/a^8 - (20*z^6)/a^6 + (23*z^6)/a^4 - (8*z^6)/a^2 + 
   z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + 
   (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54976] -> 
  5*a^6 - 5*a^8 + a^10 + 2*a^2*z^2 - a^4*z^2 + 5*a^6*z^2 - a^10*z^2 + z^4 + 
   3*a^2*z^4 - 5*a^4*z^4 - 5*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 
   7*a^4*z^6 - 8*a^6*z^6 + 4*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 3*a^6*z^8, 
 Knot[15, Alternating, 54977] -> -1 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 
   2*a^4*z^4 - 6*z^6 + z^6/a^2 + 4*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54978] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (6*z^6)/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54979] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 - 
   (4*z^2)/a^6 + (6*z^2)/a^4 + (5*z^2)/a^2 + 3*z^4 - (6*z^4)/a^6 + 
   (19*z^4)/a^4 - (9*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + (22*z^6)/a^4 - 
   (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54980] -> 
  2 - a^(-6) + a^(-4) - a^2 - z^2/a^6 + (5*z^2)/a^2 - a^2*z^2 - 4*z^4 - 
   (2*z^4)/a^6 + (4*z^4)/a^4 + (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - z^6/a^2 + 3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + 
   a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 54981] -> 
  a^(-4) - a^(-2) + a^2 + z^2 + z^2/a^6 + (2*z^2)/a^4 - (7*z^2)/a^2 + 
   a^2*z^2 + 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 - 2*a^2*z^4 + 
   6*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 3*a^2*z^6 + 4*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 54982] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + 4*z^4 - z^4/a^4 + z^4/a^2 - 3*a^2*z^4 + a^4*z^4 - 
   z^6/a^4 + (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - 2*z^8 + (2*z^8)/a^2 - 
   3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 54983] -> 
  1 - a^(-6) + 2/a^4 - a^(-2) + z^2/a^6 - z^2/a^4 + z^2/a^2 - z^4 + z^4/a^8 - 
   z^4/a^6 - (3*z^4)/a^4 + (3*z^4)/a^2 - 2*z^6 + z^6/a^8 - (4*z^6)/a^6 + 
   (4*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (2*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54984] -> -1 + 6*a^2 - 6*a^4 + 2*a^6 + 
   z^2 + z^2/a^2 - 3*a^2*z^2 + a^4*z^2 - 2*z^4 + (2*z^4)/a^2 - 10*a^2*z^4 + 
   9*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + z^6/a^2 - 3*a^2*z^6 + 8*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54985] -> 4*a^2 - 5*a^4 + 2*a^6 - 2*z^2 + 
   (2*z^2)/a^2 - 2*a^4*z^2 + a^6*z^2 - 7*z^4 + (3*z^4)/a^2 - 5*a^2*z^4 + 
   8*a^4*z^4 - 4*a^6*z^4 - 7*z^6 + z^6/a^2 + 10*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 54986] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 4*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 + 9*z^4 - (8*z^4)/a^6 + 
   (28*z^4)/a^4 - (22*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - 
   (40*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54987] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 2*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*z^4 - (6*z^4)/a^6 + (21*z^4)/a^4 - (16*z^4)/a^2 + 9*z^6 - 
   (4*z^6)/a^6 + (23*z^6)/a^4 - (28*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 54988] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 4*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (7*z^4)/a^4 - (3*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (9*z^6)/a^4 - (8*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 54989] -> a^(-10) - 5/a^8 + 5/a^6 - z^2/a^10 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^2/a^2 - (2*z^4)/a^10 + 
   (5*z^4)/a^8 + (2*z^4)/a^6 + (2*z^4)/a^4 - z^6/a^10 + (6*z^6)/a^8 - 
   (3*z^6)/a^6 - (2*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 54990] -> -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - 
   (2*z^2)/a^6 + (3*z^2)/a^4 + (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + 
   (7*z^4)/a^4 + z^4/a^2 + 4*z^6 - (3*z^6)/a^6 + (13*z^6)/a^4 - 
   (10*z^6)/a^2 + 4*z^8 - z^8/a^6 + (9*z^8)/a^4 - (13*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (6*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 54991] -> 
  -a^(-2) + 5*a^2 - 3*a^4 + 5*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 
   17*z^4 - (5*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 + 21*z^6 - (4*z^6)/a^2 - 
   24*a^2*z^6 + 8*a^4*z^6 + 11*z^8 - z^8/a^2 - 19*a^2*z^8 + 5*a^4*z^8 + 
   2*z^10 - 7*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 54992] -> 
  1 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 + 10*z^6 + (3*z^6)/a^4 - (13*z^6)/a^2 - 4*a^2*z^6 + 
   13*z^8 + z^8/a^4 - (9*z^8)/a^2 - 4*a^2*z^8 + 6*z^10 - (2*z^10)/a^2 - 
   a^2*z^10 + z^12, Knot[15, Alternating, 54993] -> 
  a^(-6) - 3/a^4 + 3/a^2 + (2*z^2)/a^8 - (3*z^2)/a^6 - z^2/a^4 + 
   (2*z^2)/a^2 + (5*z^4)/a^8 - (16*z^4)/a^6 + (12*z^4)/a^4 - (4*z^4)/a^2 + 
   (4*z^6)/a^8 - (21*z^6)/a^6 + (24*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - 
   (11*z^8)/a^6 + (19*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 54994] -> 
  2 + a^(-4) - 2/a^2 + z^2/a^8 - (3*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   (2*z^4)/a^8 - (5*z^4)/a^6 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (6*z^6)/a^6 + (2*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 54995] -> 5 - 2/a^2 - 2*a^2 - 2*z^2 - z^2/a^4 + 
   (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 
   5*a^2*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54996] -> 4 - 2/a^2 - a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 54997] -> -a^(-6) + a^(-4) + a^(-2) + 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - 2*a^2*z^2 - (2*z^4)/a^6 + (5*z^4)/a^4 + a^2*z^4 - 
   5*z^6 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 54998] -> 1 + z^2 + z^2/a^8 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 2*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + 
   (2*z^4)/a^4 + (2*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (3*z^6)/a^4 + 
   (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 54999] -> 4 + a^(-4) - 3/a^2 - a^2 - 
   3*z^2 + z^2/a^6 - (2*z^2)/a^4 + (2*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 + a^2*z^4 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55000] -> 
  1 - 2*z^2 + (2*z^2)/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 + 10*z^6 + (3*z^6)/a^4 - (13*z^6)/a^2 - 4*a^2*z^6 + 
   13*z^8 + z^8/a^4 - (9*z^8)/a^2 - 4*a^2*z^8 + 6*z^10 - (2*z^10)/a^2 - 
   a^2*z^10 + z^12, Knot[15, Alternating, 55001] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 - z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 + z^4/a^2 + 4*z^6 - 
   (3*z^6)/a^6 + (13*z^6)/a^4 - (10*z^6)/a^2 + 4*z^8 - z^8/a^6 + 
   (9*z^8)/a^4 - (13*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (6*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55002] -> -a^(-2) + 5*a^2 - 3*a^4 + 
   5*z^2 - (3*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 + 17*z^4 - (5*z^4)/a^2 - 
   11*a^2*z^4 + 4*a^4*z^4 + 21*z^6 - (4*z^6)/a^2 - 24*a^2*z^6 + 8*a^4*z^6 + 
   11*z^8 - z^8/a^2 - 19*a^2*z^8 + 5*a^4*z^8 + 2*z^10 - 7*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 55003] -> 
  -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 5*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 
   5*z^6 + z^6/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 55004] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 2*z^2 - (3*z^2)/a^6 + (3*z^2)/a^4 + 
   (6*z^2)/a^2 + 6*z^4 - (6*z^4)/a^6 + (21*z^4)/a^4 - (16*z^4)/a^2 + 9*z^6 - 
   (4*z^6)/a^6 + (23*z^6)/a^4 - (28*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55005] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2 + 
   z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 5*a^4*z^4 - 2*a^6*z^4 - 5*z^6 + z^6/a^2 - 2*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 55006] -> 
  -1 + 4*a^2 - 2*a^4 - 3*z^2 + z^2/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 
   6*z^4 + (2*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 6*z^6 + z^6/a^2 + 
   4*a^2*z^6 + 2*a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 3*a^4*z^8 - 
   a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 55007] -> 
  -2 - a^(-6) - a^(-4) + 5/a^2 - 3*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*z^4 - (6*z^4)/a^6 + (19*z^4)/a^4 - (9*z^4)/a^2 + 8*z^6 - 
   (4*z^6)/a^6 + (22*z^6)/a^4 - (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55008] -> 2 - a^(-6) + a^(-4) - a^2 - 
   z^2/a^6 + (5*z^2)/a^2 - a^2*z^2 - 4*z^4 - (2*z^4)/a^6 + (4*z^4)/a^4 + 
   (5*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - z^6/a^6 + (6*z^6)/a^4 - z^6/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55009] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - (2*z^2)/a^6 + 
   z^2/a^4 + (8*z^2)/a^2 + 2*z^4 - (5*z^4)/a^6 + (14*z^4)/a^4 - (5*z^4)/a^2 + 
   8*z^6 - (4*z^6)/a^6 + (21*z^6)/a^4 - (22*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55010] -> 5 - 2/a^2 - 2*a^2 - 2*z^2 - 
   z^2/a^4 + (3*z^2)/a^2 + 3*a^2*z^2 - a^4*z^2 - 11*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 + 5*a^2*z^4 - 9*z^6 - z^6/a^4 + (7*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55011] -> -a^(-6) + a^(-4) + a^(-2) + 3*z^2 - 
   z^2/a^6 + (2*z^2)/a^4 - 2*a^2*z^2 - (2*z^4)/a^6 + (5*z^4)/a^4 + a^2*z^4 - 
   5*z^6 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + 
   (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55012] -> 4 - 2/a^2 - a^4 + 2*z^2 - z^2/a^4 + 
   z^2/a^2 + 2*a^2*z^2 - a^4*z^2 - z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 
   2*a^2*z^4 + 2*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 
   3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55013] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 4*z^2 - 
   (3*z^2)/a^6 + z^2/a^4 + (11*z^2)/a^2 + 9*z^4 - (8*z^4)/a^6 + 
   (28*z^4)/a^4 - (22*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (31*z^6)/a^4 - 
   (40*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55014] -> 
  a^(-4) - a^(-2) + a^2 - 4*z^2 - z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 55015] -> 1 + z^2/a^6 - (4*z^2)/a^4 + 
   (4*z^2)/a^2 - a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 
   5*z^6 - (2*z^6)/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55016] -> -a^(-8) + 6/a^6 - 10/a^4 + 6/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (10*z^2)/a^6 - (18*z^2)/a^4 + (10*z^2)/a^2 - 3*z^4 + 
   z^4/a^8 + (3*z^4)/a^6 - (13*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (3*z^6)/a^8 - 
   (4*z^6)/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (4*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55017] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 13*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 5*z^4 - z^4/a^2 + 
   14*a^2*z^4 - 9*a^4*z^4 + 2*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 8*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 55018] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - 
   z^2/a^4 + (2*z^2)/a^2 + a^2*z^2 - 6*z^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55019] -> 1 + z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 - 
   a^2*z^2 - 3*z^4 - (3*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 5*z^6 - 
   (2*z^6)/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55020] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 55021] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + z^2 - 
   (2*z^2)/a^2 + 2*a^2*z^2 - a^4*z^2 - 3*z^4 - z^4/a^4 + (3*z^4)/a^2 + 
   5*a^2*z^4 - 3*a^4*z^4 + a^6*z^4 - 6*z^6 - z^6/a^4 + (4*z^6)/a^2 + 
   6*a^2*z^6 - 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 55022] -> -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 
   12*z^2 + z^2/a^6 - (7*z^2)/a^4 + (11*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 
   12*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (15*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 
   9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55023] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 
   11*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 
   13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 
   9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 55024] -> 2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 6*a^2*z^2 - 
   11*a^4*z^2 + 10*a^6*z^2 - 3*a^8*z^2 + a^10*z^2 + z^4 + 3*a^2*z^4 - 
   16*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - a^10*z^4 + z^6 - 9*a^4*z^6 + 
   3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 55025] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 
   16*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 8*z^6 + 
   z^6/a^4 + (3*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55026] -> 
  -5 + a^(-6) - 2/a^4 + 4/a^2 + 3*a^2 - 12*z^2 + z^2/a^6 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 + 4*a^2*z^2 - a^4*z^2 - 12*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (15*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55027] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 + 
   (3*z^2)/a^2 + 18*a^2*z^2 - 8*a^4*z^2 + a^6*z^2 - 10*z^4 + z^4/a^2 + 
   19*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 - (2*z^6)/a^2 + 10*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 55028] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 
   23*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 23*z^4 + 
   z^4/a^4 + (8*z^4)/a^2 + 15*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - 
   (3*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55029] -> 
  -1 + 2/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - z^2/a^2 - 8*a^2*z^2 + 4*a^4*z^2 - 
   a^6*z^2 + 3*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 - 6*a^2*z^4 + 5*a^4*z^4 - 
   a^6*z^4 - z^6 + z^6/a^4 - (3*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - 
   z^8/a^2 - a^2*z^8, Knot[15, Alternating, 55030] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 + (2*z^6)/a^4 - z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55031] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 5/a^6 + a^(-4) + z^2/a^12 + (2*z^2)/a^10 - 
   (13*z^2)/a^8 + (14*z^2)/a^6 - z^2/a^4 + z^4/a^12 - (6*z^4)/a^10 - 
   (2*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 - (4*z^6)/a^10 + (5*z^6)/a^8 + 
   (10*z^6)/a^6 - (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (4*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 55032] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 
   2*a^2 - 15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 16*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 
   8*z^6 + z^6/a^4 + (3*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - 
   (2*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55033] -> 
  a^(-10) - 3/a^8 + 6/a^6 - 8/a^4 + 5/a^2 - z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (14*z^2)/a^4 + (6*z^2)/a^2 - 2*z^4 - (3*z^4)/a^8 + 
   (9*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55034] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 19*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 
   10*a^2*z^2 - 2*a^4*z^2 - 20*z^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 2*a^4*z^4 - 
   11*z^6 + (2*z^6)/a^4 - z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55035] -> 
  -5 + 2/a^2 + 6*a^2 - 2*a^4 - 14*z^2 + (3*z^2)/a^2 + 18*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 10*z^4 + z^4/a^2 + 19*a^2*z^4 - 10*a^4*z^4 + 
   2*a^6*z^4 - (2*z^6)/a^2 + 10*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - 
   z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 55036] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 - 9*z^2 + 
   (2*z^2)/a^6 - (13*z^2)/a^4 + (19*z^2)/a^2 + a^2*z^2 - 11*z^4 - 
   (8*z^4)/a^4 + (21*z^4)/a^2 + 2*a^2*z^4 - 7*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55037] -> 
  -7 + 4/a^2 + 4*a^2 - 12*z^2 - z^2/a^6 + (2*z^2)/a^4 + (2*z^2)/a^2 + 
   7*a^2*z^2 - 2*a^4*z^2 - 5*z^4 + z^4/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 + 
   6*a^2*z^4 - a^4*z^4 - 2*z^6 + z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 55038] -> 
  a^(-4) - 2*a^2 + 2*a^4 - z^2 - z^2/a^4 - 4*a^2*z^2 + 2*a^4*z^2 - a^6*z^2 + 
   z^4/a^6 + 2*a^4*z^4 - 2*z^6 - z^6/a^4 - (2*z^6)/a^2 - a^2*z^6, 
 Knot[15, Alternating, 55039] -> 1 + z^2 - z^2/a^8 + (3*z^2)/a^6 - 
   (4*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + (3*z^4)/a^6 - (6*z^4)/a^4 + 
   (5*z^4)/a^2 - 3*z^6 - z^6/a^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (2*z^8)/a^4 + (2*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55040] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 + z^2/a^6 - 
   (5*z^2)/a^4 + (10*z^2)/a^2 + 7*a^2*z^2 - 2*a^4*z^2 - 21*z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (17*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 16*z^6 - (3*z^6)/a^4 + 
   (10*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 5*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 55041] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 
   2*a^6 - 7*z^2 + (2*z^2)/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 
   a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 13*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - 
   a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 55042] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 12*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 + 7*z^4 + 
   (4*z^4)/a^4 - (12*z^4)/a^2 - 4*a^2*z^4 + 30*z^6 + (4*z^6)/a^4 - 
   (23*z^6)/a^2 - 11*a^2*z^6 + 24*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55043] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^2)/a^2 + (3*z^4)/a^8 - (9*z^4)/a^6 + (10*z^4)/a^4 - (5*z^4)/a^2 + 
   (4*z^6)/a^8 - (22*z^6)/a^6 + (31*z^6)/a^4 - (11*z^6)/a^2 + z^8/a^8 - 
   (12*z^8)/a^6 + (24*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55044] -> 
  1 - a^(-8) + 3/a^6 - 3/a^4 + a^(-2) + z^2 + z^2/a^6 - (2*z^2)/a^2 - 2*z^4 + 
   (2*z^4)/a^8 - (7*z^4)/a^6 + (6*z^4)/a^4 - 3*z^6 + z^6/a^8 - (7*z^6)/a^6 + 
   (7*z^6)/a^4 + (5*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55045] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 - (5*z^2)/a^4 + (13*z^2)/a^2 + 4*z^4 - 
   (4*z^4)/a^6 + (12*z^4)/a^4 - (7*z^4)/a^2 + 11*z^6 - (4*z^6)/a^6 + 
   (23*z^6)/a^4 - (30*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - 
   (24*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55046] -> -1 - 2/a^4 + 4/a^2 + 3*z^2 - z^2/a^4 + 
   (2*z^2)/a^2 - 2*a^2*z^2 + 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 4*z^6 - z^6/a^6 + (7*z^6)/a^4 - (6*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55047] -> -3 - a^(-4) + 4/a^2 + a^4 - 3*z^2 + 
   z^2/a^4 + z^2/a^2 - 3*a^2*z^2 + 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^4 - 
   (10*z^4)/a^2 + a^2*z^4 - 3*a^4*z^4 + 8*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   7*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 55048] -> -2 - a^(-4) + 3/a^2 + a^2 - 
   10*z^2 - z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - 
   (5*z^4)/a^2 - 2*a^2*z^4 + 21*z^6 + (3*z^6)/a^4 - (16*z^6)/a^2 - 
   8*a^2*z^6 + 19*z^8 + z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55049] -> 
  2 - a^(-8) + 3/a^6 - 2/a^4 - a^(-2) + z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   4*z^6 + z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + (9*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55050] -> -2 - a^(-4) + 3/a^2 + a^2 - 10*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 4*a^2*z^2 + 2*z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 - 
   2*a^2*z^4 + 21*z^6 + (3*z^6)/a^4 - (16*z^6)/a^2 - 8*a^2*z^6 + 19*z^8 + 
   z^8/a^4 - (10*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 55051] -> -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 
   z^2/a^8 + (6*z^2)/a^6 - (9*z^2)/a^4 + (4*z^2)/a^2 + (4*z^4)/a^8 - 
   (14*z^4)/a^6 + (15*z^4)/a^4 - (7*z^4)/a^2 + (4*z^6)/a^8 - (24*z^6)/a^6 + 
   (35*z^6)/a^4 - (12*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (25*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55052] -> -a^(-8) + 3/a^6 - 2/a^4 + a^2 - z^2 + 
   z^2/a^8 - z^2/a^6 - z^2/a^2 + 2*z^4 + z^4/a^8 - (5*z^4)/a^6 + 
   (3*z^4)/a^4 - 2*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + 
   (2*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 55053] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 + 2*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 - 
   (2*z^4)/a^2 + 8*z^6 - (3*z^6)/a^6 + (16*z^6)/a^4 - (21*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (10*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55054] -> 
  -3 + 2/a^2 + 2*a^2 - z^2 + z^2/a^6 + z^2/a^4 - (4*z^2)/a^2 + a^2*z^2 + 
   8*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (7*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - 
   a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55055] -> 
  -2 + 2/a^2 + a^4 - 2*z^2 + z^2/a^6 - (2*z^2)/a^2 + 3*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 55056] -> 1 - 5*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 2*a^2*z^2 - 3*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + 
   (8*z^4)/a^2 - a^2*z^4 + 4*z^6 + z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 - 
   3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55057] -> -4/a^8 + 6/a^6 - a^(-4) - (3*z^2)/a^10 - 
   (3*z^2)/a^8 + (18*z^2)/a^6 - (5*z^2)/a^4 - (7*z^4)/a^10 + (18*z^4)/a^8 + 
   (2*z^4)/a^4 - (5*z^6)/a^10 + (27*z^6)/a^8 - (26*z^6)/a^6 + (10*z^6)/a^4 - 
   z^8/a^10 + (13*z^8)/a^8 - (23*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - 
   (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55058] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^10 + (6*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (2*z^4)/a^4 + z^4/a^2 - z^6/a^10 + 
   (8*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55059] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - (2*z^4)/a^10 + 
   (4*z^4)/a^8 + (5*z^4)/a^6 + z^4/a^2 - z^6/a^10 + (6*z^6)/a^8 - z^6/a^6 - 
   (5*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55060] -> 
  a^(-2) - a^2 + a^4 + z^2/a^6 - z^2/a^4 - z^2/a^2 - a^2*z^2 - 2*z^4 + 
   z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - 
   (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 
   2*a^2*z^8 - z^10, Knot[15, Alternating, 55061] -> 
  -1 + a^(-2) + a^2 + z^2/a^6 - (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 + a^4*z^2 + 
   4*z^4 + z^4/a^6 - (4*z^4)/a^4 - 2*a^2*z^4 - a^4*z^4 + 5*z^6 - 
   (2*z^6)/a^4 + z^6/a^2 + a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 55062] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) - z^2 - 
   z^2/a^10 + z^2/a^8 + z^2/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 + 
   (4*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 + z^6 + (2*z^6)/a^8 - 
   (2*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55063] -> -3 - 4/a^4 + 8/a^2 - 3*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 5*z^4 - (6*z^4)/a^6 + (20*z^4)/a^4 - 
   (13*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (23*z^6)/a^4 - (27*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55064] -> 
  -a^(-6) + a^(-4) + a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55065] -> -2/a^8 + 2/a^6 + a^(-4) - z^2 - z^2/a^10 + 
   (3*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + z^4 - z^4/a^10 + (3*z^4)/a^8 + 
   (3*z^4)/a^6 - z^4/a^4 + z^4/a^2 + z^6 + (2*z^6)/a^8 - (4*z^6)/a^4 - 
   z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 55066] -> 
  -4 - 5/a^4 + 10/a^2 - 4*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 + 
   7*z^4 - (8*z^4)/a^6 + (27*z^4)/a^4 - (18*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + 
   (30*z^6)/a^4 - (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55067] -> -3/a^4 + 5/a^2 - a^2 + z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55068] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - 2*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (6*z^2)/a^2 + 3*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + 4*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (9*z^6)/a^4 - (7*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55069] -> 
  -1 - a^(-6) + 3/a^2 + 2*z^2 - z^2/a^8 + (2*z^2)/a^6 + z^2/a^2 - a^2*z^2 + 
   2*z^4 - z^4/a^8 + (4*z^4)/a^6 - (4*z^4)/a^2 + a^2*z^4 - z^6 + 
   (2*z^6)/a^6 - z^6/a^4 - (5*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 55070] -> 
  -a^(-6) + a^(-4) + a^(-2) + 3*z^2 - z^2/a^8 + (3*z^2)/a^6 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - z^4/a^8 + (6*z^4)/a^6 - (7*z^4)/a^4 + z^4/a^2 + 
   a^2*z^4 - 4*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55071] -> a^(-2) - a^2 + a^4 + z^2/a^6 - z^2/a^4 - 
   z^2/a^2 - a^2*z^2 - 2*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 
   3*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 55072] -> 1 + 2*z^2 + z^2/a^6 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + a^4*z^2 - z^4 + z^4/a^6 - (6*z^4)/a^4 + 
   (7*z^4)/a^2 - a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 55073] -> -3 - 4/a^4 + 8/a^2 - 3*z^2 - (3*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^2)/a^2 + 5*z^4 - (6*z^4)/a^6 + (20*z^4)/a^4 - 
   (13*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + (23*z^6)/a^4 - (27*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55074] -> 
  -4 - 5/a^4 + 10/a^2 - 4*z^2 - (4*z^2)/a^6 + (4*z^2)/a^4 + (9*z^2)/a^2 + 
   7*z^4 - (8*z^4)/a^6 + (27*z^4)/a^4 - (18*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + 
   (30*z^6)/a^4 - (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55075] -> -3/a^4 + 5/a^2 - a^2 + z^2 - (2*z^2)/a^6 + 
   (2*z^2)/a^4 + (4*z^2)/a^2 - a^2*z^2 - z^4 - (3*z^4)/a^6 + (10*z^4)/a^4 - 
   (3*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - z^6/a^6 + (8*z^6)/a^4 - (6*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55076] -> -5 + 3/a^2 + 3*a^2 - 14*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 13*z^4 + z^4/a^4 + (4*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 8*z^6 + (3*z^6)/a^4 - (4*z^6)/a^2 + 7*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55077] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 11*z^2 + 
   (3*z^2)/a^2 + 13*a^2*z^2 - 4*a^4*z^2 - 6*z^4 + 12*a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 + 3*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 55078] -> -2 + a^(-2) + 3*a^2 - a^4 - 2*z^2 + 
   z^2/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   2*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 3*z^6 - z^6/a^4 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 55079] -> 
  -4 + a^(-4) + a^(-2) + 3*a^2 - 6*z^2 - z^2/a^6 + (2*z^2)/a^4 - z^2/a^2 + 
   3*a^2*z^2 - a^4*z^2 - z^4 + z^4/a^6 + (2*z^4)/a^4 - (4*z^4)/a^2 + 
   4*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - z^6/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 55080] -> 
  a^2 - a^4 + 3*a^6 - 2*a^8 + 4*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 + 
   5*a^2*z^4 - 10*a^4*z^4 - 5*a^6*z^4 + 7*a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 6*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55081] -> a^2 + a^6 - a^8 + z^2 + 3*a^2*z^2 - 
   5*a^4*z^2 + 3*a^6*z^2 + a^8*z^2 + z^4 - 9*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 55082] -> 4*a^2 - 5*a^4 + 2*a^6 + 
   7*a^2*z^2 - 15*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 + 3*z^4 - a^2*z^4 - 
   16*a^4*z^4 + 12*a^6*z^4 - 3*a^8*z^4 + 4*z^6 - 7*a^2*z^6 - 10*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 55083] -> 1 + 2*a^2 - 4*a^4 + 2*a^6 + 
   2*z^2 - 2*a^2*z^2 - 5*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^2 - 
   6*a^2*z^4 - 2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - z^6 + z^6/a^2 - 5*a^2*z^6 - 
   a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 55084] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 55085] -> 
  -2 + a^(-2) + 3*a^2 - a^4 - 11*z^2 + (3*z^2)/a^2 + 12*a^2*z^2 - 4*a^4*z^2 - 
   9*z^4 + z^4/a^2 + 15*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - (2*z^6)/a^2 + 
   9*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 55086] -> 
  -3 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + (8*z^2)/a^2 + 6*a^2*z^2 - 
   a^4*z^2 - 16*z^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 2*a^4*z^4 - 10*z^6 + 
   (2*z^6)/a^4 - z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55087] -> 
  2 - a^2 - a^4 + a^6 - 5*z^2 + (2*z^2)/a^2 + 5*a^2*z^2 - 7*a^4*z^2 + 
   4*a^6*z^2 - a^8*z^2 - 11*z^4 + (3*z^4)/a^2 + 14*a^2*z^4 - 14*a^4*z^4 + 
   7*a^6*z^4 - a^8*z^4 - 8*z^6 + z^6/a^2 + 12*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 55088] -> -3 + 2/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^4 + 
   (8*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 16*z^4 + (7*z^4)/a^2 + 10*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 + (2*z^6)/a^4 - z^6/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55089] -> 5*a^2 - 7*a^4 + 3*a^6 + 6*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 - a^8*z^2 + 4*z^4 - 3*a^2*z^4 - 14*a^4*z^4 + 
   12*a^6*z^4 - 3*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 10*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 55090] -> 2 - 3*a^4 + 2*a^6 + z^2 - a^2*z^2 - 
   6*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - z^4 + (2*z^4)/a^2 - 4*a^2*z^4 - 
   2*a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 5*a^2*z^6 - a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 55091] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 4*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + 5*a^2*z^4 - 8*a^4*z^4 - 8*a^6*z^4 + 10*a^8*z^4 - 
   2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 9*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55092] -> 1 + a^2 - 2*a^4 + a^6 - 4*z^2 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 8*a^4*z^2 + 5*a^6*z^2 - a^8*z^2 - 9*z^4 + 
   (2*z^4)/a^2 + 11*a^2*z^4 - 13*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 6*z^6 + 
   z^6/a^2 + 10*a^2*z^6 - 9*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 55093] -> 
  a^(-2) - a^4 + a^6 - z^2 + z^2/a^4 - (2*z^2)/a^2 + 2*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 - a^8*z^2 + z^4 + z^4/a^4 - (3*z^4)/a^2 + 3*a^2*z^4 - 
   5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 3*a^4*z^6 + z^8 + 
   a^2*z^8, Knot[15, Alternating, 55094] -> a^(-2) + a^2 - 3*a^4 + 2*a^6 - 
   z^2 - a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 - z^4 + z^4/a^4 - 
   a^2*z^4 + 2*a^6*z^4 - 2*z^6 - z^6/a^2 - 2*a^2*z^6 - a^4*z^6, 
 Knot[15, Alternating, 55095] -> a^(-10) - 6/a^8 + 15/a^6 - 17/a^4 + 8/a^2 - 
   4*z^2 + z^2/a^10 - (9*z^2)/a^8 + (28*z^2)/a^6 - (38*z^2)/a^4 + 
   (20*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (18*z^4)/a^6 - (33*z^4)/a^4 + 
   (20*z^4)/a^2 - z^6 + (2*z^6)/a^8 + (2*z^6)/a^6 - (15*z^6)/a^4 + 
   (10*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55096] -> 
  3/a^6 - 7/a^4 + 5/a^2 - z^2 + z^2/a^10 - (4*z^2)/a^8 + (7*z^2)/a^6 - 
   (10*z^2)/a^4 + (5*z^2)/a^2 - 2*z^4 - (2*z^4)/a^8 + (5*z^4)/a^6 - 
   (7*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (2*z^6)/a^8 - z^6/a^6 - (4*z^6)/a^4 + 
   (6*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55097] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 
   a^2*z^4 - 5*z^6 - z^6/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (2*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55098] -> a^4 + 2*a^6 - 2*a^8 + 10*a^4*z^2 - 
   12*a^6*z^2 + 8*a^8*z^2 - a^10*z^2 + 19*a^4*z^4 - 48*a^6*z^4 + 31*a^8*z^4 - 
   6*a^10*z^4 + 17*a^4*z^6 - 57*a^6*z^6 + 33*a^8*z^6 - 5*a^10*z^6 + 
   7*a^4*z^8 - 32*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 
   2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 55099] -> 
  2*a^4 - a^8 + 3*a^2*z^2 + 3*a^4*z^2 - 8*a^6*z^2 + 7*a^8*z^2 - a^10*z^2 + 
   5*a^2*z^4 - 6*a^4*z^4 - 15*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   9*a^4*z^6 - 11*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55100] -> 3*a^4 - 2*a^6 + 4*a^2*z^2 - a^4*z^2 - 
   4*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 6*a^2*z^4 - 11*a^4*z^4 - 7*a^6*z^4 + 
   9*a^8*z^4 - 2*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 7*a^6*z^6 + 7*a^8*z^6 - 
   a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 55101] -> 3*a^4 - 2*a^6 + z^2 + 
   3*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + z^4 - 
   8*a^4*z^4 - 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 - 
   a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 55102] -> a^2 + a^4 - a^6 + 2*z^2 - a^2*z^2 + 
   2*a^4*z^2 - 5*a^6*z^2 + 5*a^8*z^2 - a^10*z^2 + 2*z^4 - 5*a^2*z^4 - 
   7*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 55103] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 4*z^2 - z^2/a^8 + (4*z^2)/a^6 - (10*z^2)/a^4 + 
   (11*z^2)/a^2 - 6*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (15*z^4)/a^2 + 
   a^2*z^4 - 5*z^6 - z^6/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (2*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55104] -> 3 + a^(-6) - 2/a^4 - a^2 - 9*z^2 + z^2/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 + 3*a^2*z^2 - 17*z^4 - (6*z^4)/a^4 + 
   (18*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - 9*z^6 + (7*z^6)/a^2 + 5*a^2*z^6 - 
   a^4*z^6 - 3*z^8 + z^8/a^4 - z^8/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55105] -> a^4 + 4*a^6 - 6*a^8 + 2*a^10 + 10*a^4*z^2 - 
   13*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 21*a^4*z^4 - 53*a^6*z^4 + 
   36*a^8*z^4 - 7*a^10*z^4 + 18*a^4*z^6 - 61*a^6*z^6 + 35*a^8*z^6 - 
   5*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 55106] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 3*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 
   7*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 7*a^4*z^4 - 15*a^6*z^4 + 15*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 12*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55107] -> 4*a^4 - 4*a^6 + a^8 + 3*a^2*z^2 + 
   2*a^4*z^2 - 8*a^6*z^2 + 6*a^8*z^2 - a^10*z^2 + 7*a^2*z^4 - 11*a^4*z^4 - 
   10*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 13*a^4*z^6 - 
   9*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 55108] -> 
  a^2 + 2*a^4 - 3*a^6 + a^8 + z^2 + 2*a^2*z^2 - 2*a^4*z^2 - 3*a^6*z^2 + 
   4*a^8*z^2 - a^10*z^2 + 2*z^4 - a^2*z^4 - 8*a^4*z^4 - a^6*z^4 + 4*a^8*z^4 - 
   a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 55109] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + 4*a^2*z^2 - a^4*z^2 - 4*a^6*z^2 + 6*a^8*z^2 - 
   2*a^10*z^2 + 5*a^2*z^4 - 7*a^4*z^4 - 12*a^6*z^4 + 12*a^8*z^4 - 
   2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 10*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55110] -> a^4 + 4*a^6 - 6*a^8 + 2*a^10 + 10*a^4*z^2 - 
   13*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 21*a^4*z^4 - 53*a^6*z^4 + 
   36*a^8*z^4 - 7*a^10*z^4 + 18*a^4*z^6 - 61*a^6*z^6 + 35*a^8*z^6 - 
   5*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 
   9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 55111] -> 
  3*a^4 - a^6 - 2*a^8 + a^10 + 3*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 
   7*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 7*a^4*z^4 - 15*a^6*z^4 + 15*a^8*z^4 - 
   3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 12*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55112] -> 5*a^4 - 6*a^6 + 2*a^8 + 4*a^2*z^2 - 
   2*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - a^10*z^2 + 8*a^2*z^4 - 16*a^4*z^4 - 
   2*a^6*z^4 + 8*a^8*z^4 - 2*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 5*a^6*z^6 + 
   7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 55113] -> 
  2*a^2 - 2*a^6 + a^8 + 2*z^2 - 2*a^2*z^2 + 2*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - a^10*z^2 + 3*z^4 - 6*a^2*z^4 - 5*a^6*z^4 + 5*a^8*z^4 - 
   a^10*z^4 + z^6 - 4*a^2*z^6 - 2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 
   a^4*z^8 - a^6*z^8, Knot[15, Alternating, 55114] -> 
  1 + a^4 - 2*a^6 + a^8 - z^2 + z^2/a^2 - 3*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 - 
   2*z^4 + z^4/a^2 - a^2*z^4 - a^4*z^4 - 2*a^6*z^4 + 2*a^8*z^4 - z^6 - 
   a^2*z^6 - a^4*z^6 - a^6*z^6, Knot[15, Alternating, 55115] -> 
  -3/a^14 + 11/a^12 - 13/a^10 + 2/a^8 + 4/a^6 - (7*z^2)/a^14 + 
   (30*z^2)/a^12 - (36*z^2)/a^10 + (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (34*z^4)/a^12 - (45*z^4)/a^10 + (13*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (33*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 55116] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + 2*z^2 - 
   z^2/a^10 - (3*z^2)/a^8 + (19*z^2)/a^6 - (19*z^2)/a^4 + (4*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - (2*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 55117] -> 
  -4/a^14 + 15/a^12 - 20/a^10 + 8/a^8 + 2/a^6 - (8*z^2)/a^14 + 
   (38*z^2)/a^12 - (52*z^2)/a^10 + (18*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^4)/a^14 + (39*z^4)/a^12 - (59*z^4)/a^10 + (9*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (39*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55118] -> 
  -2/a^14 + 6/a^12 - 4/a^10 - 5/a^8 + 6/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (8*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (9*z^4)/a^10 - (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 55119] -> 
  7 - 22*a^2 + 26*a^4 - 10*a^6 + 27*z^2 - 81*a^2*z^2 + 79*a^4*z^2 - 
   21*a^6*z^2 + 38*z^4 - 121*a^2*z^4 + 95*a^4*z^4 - 18*a^6*z^4 + 25*z^6 - 
   95*a^2*z^6 + 57*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 42*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55120] -> -2 + 2/a^2 - 6*a^2 + 13*a^4 - 6*a^6 - 
   10*z^2 + (8*z^2)/a^2 - 18*a^2*z^2 + 32*a^4*z^2 - 9*a^6*z^2 - 18*z^4 + 
   (10*z^4)/a^2 - 23*a^2*z^4 + 29*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 16*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55121] -> 
  -3/a^14 + 11/a^12 - 13/a^10 + 2/a^8 + 4/a^6 - (7*z^2)/a^14 + 
   (30*z^2)/a^12 - (36*z^2)/a^10 + (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (34*z^4)/a^12 - (45*z^4)/a^10 + (13*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (33*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 55122] -> -13 - 2/a^4 + 9/a^2 + 11*a^2 - 6*a^4 + 
   2*a^6 - 36*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 26*a^2*z^2 - 11*a^4*z^2 + 
   a^6*z^2 - 37*z^4 - (7*z^4)/a^4 + (29*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (4*z^6)/a^4 + (18*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55123] -> 
  -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - (7*z^2)/a^10 + (18*z^2)/a^8 - 
   (6*z^2)/a^6 - (10*z^2)/a^4 + (7*z^2)/a^2 - (9*z^4)/a^10 + (22*z^4)/a^8 - 
   (19*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + (7*z^6)/a^6 - 
   (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 55124] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 + 2*z^2 - (3*z^2)/a^10 + 
   (4*z^2)/a^8 + (9*z^2)/a^6 - (13*z^2)/a^4 + (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (4*z^4)/a^8 + (10*z^4)/a^6 - (9*z^4)/a^4 - (4*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (7*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 55125] -> 
  6 - 18*a^2 + 21*a^4 - 8*a^6 + 25*z^2 - 75*a^2*z^2 + 73*a^4*z^2 - 
   20*a^6*z^2 + 37*z^4 - 117*a^2*z^4 + 93*a^4*z^4 - 18*a^6*z^4 + 25*z^6 - 
   94*a^2*z^6 + 57*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 42*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55126] -> 2 + a^(-2) - 11*a^2 + 15*a^4 - 6*a^6 - 
   4*z^2 + (6*z^2)/a^2 - 24*a^2*z^2 + 33*a^4*z^2 - 9*a^6*z^2 - 14*z^4 + 
   (9*z^4)/a^2 - 25*a^2*z^4 + 29*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   16*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55127] -> 
  -3 + 2/a^2 - 2*a^2 + 8*a^4 - 4*a^6 - 16*z^2 + (9*z^2)/a^2 - 7*a^2*z^2 + 
   24*a^4*z^2 - 8*a^6*z^2 - 25*z^4 + (12*z^4)/a^2 - 13*a^2*z^4 + 26*a^4*z^4 - 
   5*a^6*z^4 - 19*z^6 + (6*z^6)/a^2 - 13*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55128] -> -7 + 3/a^2 + 5*a^2 + 2*a^4 - 2*a^6 - 
   16*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 8*a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 
   16*z^4 + (3*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 55129] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (18*z^2)/a^10 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (19*z^4)/a^10 - 
   (9*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 55130] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55131] -> -2 + 2/a^2 - 4*a^2 + 9*a^4 - 4*a^6 - 8*z^2 + 
   (6*z^2)/a^2 - 13*a^2*z^2 + 22*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (7*z^4)/a^2 - 
   17*a^2*z^4 + 21*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 12*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 55132] -> -2 + 2/a^2 - 4*a^2 + 9*a^4 - 
   4*a^6 - 8*z^2 + (6*z^2)/a^2 - 13*a^2*z^2 + 22*a^4*z^2 - 6*a^6*z^2 - 
   13*z^4 + (7*z^4)/a^2 - 17*a^2*z^4 + 21*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + 
   (4*z^6)/a^2 - 12*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55133] -> 
  -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 - z^2/a^12 + (5*z^2)/a^10 - 
   (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^8 + 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + 
   (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55134] -> 5 - 14*a^2 + 16*a^4 - 6*a^6 + 22*z^2 - 
   65*a^2*z^2 + 62*a^4*z^2 - 17*a^6*z^2 + 34*z^4 - 107*a^2*z^4 + 85*a^4*z^4 - 
   17*a^6*z^4 + 24*z^6 - 89*a^2*z^6 + 55*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 
   41*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 55135] -> 1 + a^(-2) - 7*a^2 + 10*a^4 - 
   4*a^6 - 6*z^2 + (6*z^2)/a^2 - 18*a^2*z^2 + 27*a^4*z^2 - 8*a^6*z^2 - 
   15*z^4 + (9*z^4)/a^2 - 21*a^2*z^4 + 27*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + 
   (5*z^6)/a^2 - 15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55136] -> 
  -3 + 2/a^2 + 4*a^4 - 2*a^6 - 14*z^2 + (7*z^2)/a^2 - 2*a^2*z^2 + 
   14*a^4*z^2 - 5*a^6*z^2 - 20*z^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 18*a^4*z^4 - 
   4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55137] -> -4/a^10 + 13/a^8 - 16/a^6 + 8/a^4 - 
   (18*z^2)/a^10 + (60*z^2)/a^8 - (64*z^2)/a^6 + (24*z^2)/a^4 - 
   (30*z^4)/a^10 + (99*z^4)/a^8 - (92*z^4)/a^6 + (22*z^4)/a^4 - 
   (23*z^6)/a^10 + (84*z^6)/a^8 - (60*z^6)/a^6 + (8*z^6)/a^4 - (8*z^8)/a^10 + 
   (40*z^8)/a^8 - (18*z^8)/a^6 + z^8/a^4 - z^10/a^10 + (10*z^10)/a^8 - 
   (2*z^10)/a^6 + z^12/a^8, Knot[15, Alternating, 55138] -> 
  -3/a^10 + 9/a^8 - 9/a^6 + 2/a^4 + 2/a^2 - (10*z^2)/a^10 + (28*z^2)/a^8 - 
   (17*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (12*z^4)/a^10 + (32*z^4)/a^8 - 
   (8*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (6*z^6)/a^10 + (20*z^6)/a^8 + 
   (5*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (7*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55139] -> -2/a^10 + 5/a^8 - 2/a^6 - 4/a^4 + 4/a^2 - 
   (7*z^2)/a^10 + (16*z^2)/a^8 - z^2/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 
   (9*z^4)/a^10 + (21*z^4)/a^8 + (4*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 + (8*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55140] -> -2/a^10 + 5/a^8 - 2/a^6 - 4/a^4 + 4/a^2 + 
   2*z^2 - (5*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + 
   (2*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (8*z^4)/a^8 + (8*z^4)/a^6 - 
   (9*z^4)/a^4 - (4*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (7*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 55141] -> 4 + a^(-4) - 2/a^2 - 6*a^2 + 6*a^4 - 2*a^6 + 
   6*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 11*a^2*z^2 + 11*a^4*z^2 - 3*a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 8*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 55142] -> 2 - 2/a^10 + 6/a^8 - 6/a^6 + 
   3/a^4 - 2/a^2 + 3*z^2 - (5*z^2)/a^10 + (13*z^2)/a^8 - (9*z^2)/a^6 + 
   (4*z^2)/a^4 - (7*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (11*z^4)/a^8 - 
   (3*z^4)/a^6 + (3*z^4)/a^4 - (7*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + 
   (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 55143] -> -5 + a^(-6) - 2/a^4 + 3/a^2 + 6*a^2 - 
   2*a^4 - 18*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55144] -> -3 + 2/a^2 + 4*a^4 - 2*a^6 - 10*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 2*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 55145] -> -5 + a^(-6) - 2/a^4 + 3/a^2 + 6*a^2 - 
   2*a^4 - 18*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55146] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 55147] -> -5 + a^(-6) - 2/a^4 + 3/a^2 + 6*a^2 - 
   2*a^4 - 18*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55148] -> -5 + a^(-6) - 2/a^4 + 3/a^2 + 6*a^2 - 
   2*a^4 - 18*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (14*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (20*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55149] -> -4 + 2/a^6 - 5/a^4 + 6/a^2 + 2*a^2 - 
   12*z^2 - (2*z^2)/a^8 + (9*z^2)/a^6 - (18*z^2)/a^4 + (17*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 55150] -> -2 + 2/a^2 - 4*a^2 + 9*a^4 - 4*a^6 - 8*z^2 + 
   (6*z^2)/a^2 - 13*a^2*z^2 + 22*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (7*z^4)/a^2 - 
   17*a^2*z^4 + 21*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 12*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 55151] -> -2/a^14 + 7/a^12 - 8/a^10 + 
   4/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - (18*z^2)/a^10 - (2*z^2)/a^8 + 
   (10*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (19*z^4)/a^10 - 
   (9*z^4)/a^8 + (6*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 55152] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55153] -> -a^(-12) + 3/a^10 - 2/a^8 - a^(-6) + 2/a^2 - 
   z^2/a^12 + (5*z^2)/a^10 - (4*z^2)/a^8 + z^2/a^6 - (6*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^8 + (3*z^4)/a^6 - (13*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55154] -> 6 - 18*a^2 + 21*a^4 - 8*a^6 + 25*z^2 - 
   75*a^2*z^2 + 73*a^4*z^2 - 20*a^6*z^2 + 37*z^4 - 117*a^2*z^4 + 93*a^4*z^4 - 
   18*a^6*z^4 + 25*z^6 - 94*a^2*z^6 + 57*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 
   42*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 55155] -> 2 + a^(-2) - 11*a^2 + 15*a^4 - 
   6*a^6 - 4*z^2 + (6*z^2)/a^2 - 24*a^2*z^2 + 33*a^4*z^2 - 9*a^6*z^2 - 
   14*z^4 + (9*z^4)/a^2 - 25*a^2*z^4 + 29*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + 
   (5*z^6)/a^2 - 16*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55156] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 - (3*z^2)/a^8 + 
   (19*z^2)/a^6 - (19*z^2)/a^4 + (4*z^2)/a^2 + z^4 - (2*z^4)/a^10 - 
   (2*z^4)/a^8 + (18*z^4)/a^6 - (15*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + 
   z^6/a^8 + (11*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 55157] -> 
  -2 + 2/a^2 - 4*a^2 + 9*a^4 - 4*a^6 - 8*z^2 + (6*z^2)/a^2 - 13*a^2*z^2 + 
   22*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (7*z^4)/a^2 - 17*a^2*z^4 + 21*a^4*z^4 - 
   4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 12*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55158] -> -13 - 2/a^4 + 9/a^2 + 11*a^2 - 6*a^4 + 
   2*a^6 - 36*z^2 - (6*z^2)/a^4 + (23*z^2)/a^2 + 26*a^2*z^2 - 11*a^4*z^2 + 
   a^6*z^2 - 37*z^4 - (7*z^4)/a^4 + (29*z^4)/a^2 + 22*a^2*z^4 - 4*a^4*z^4 - 
   19*z^6 - (4*z^6)/a^4 + (18*z^6)/a^2 + 6*a^2*z^6 - 4*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55159] -> 
  -3/a^14 + 11/a^12 - 13/a^10 + 2/a^8 + 4/a^6 - (7*z^2)/a^14 + 
   (30*z^2)/a^12 - (36*z^2)/a^10 + (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (34*z^4)/a^12 - (45*z^4)/a^10 + (13*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (33*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 55160] -> -4/a^14 + 15/a^12 - 20/a^10 + 8/a^8 + 
   2/a^6 - (8*z^2)/a^14 + (38*z^2)/a^12 - (52*z^2)/a^10 + (18*z^2)/a^8 + 
   (9*z^2)/a^6 - (5*z^4)/a^14 + (39*z^4)/a^12 - (59*z^4)/a^10 + (9*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (39*z^6)/a^10 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55161] -> 
  -2/a^14 + 6/a^12 - 4/a^10 - 5/a^8 + 6/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (8*z^2)/a^10 - (13*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (9*z^4)/a^10 - (17*z^4)/a^8 + (7*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (12*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 55162] -> 
  7 - 22*a^2 + 26*a^4 - 10*a^6 + 27*z^2 - 81*a^2*z^2 + 79*a^4*z^2 - 
   21*a^6*z^2 + 38*z^4 - 121*a^2*z^4 + 95*a^4*z^4 - 18*a^6*z^4 + 25*z^6 - 
   95*a^2*z^6 + 57*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 42*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55163] -> -2 + 2/a^2 - 6*a^2 + 13*a^4 - 6*a^6 - 
   10*z^2 + (8*z^2)/a^2 - 18*a^2*z^2 + 32*a^4*z^2 - 9*a^6*z^2 - 18*z^4 + 
   (10*z^4)/a^2 - 23*a^2*z^4 + 29*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 16*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55164] -> 
  -3/a^14 + 11/a^12 - 13/a^10 + 2/a^8 + 4/a^6 - (7*z^2)/a^14 + 
   (30*z^2)/a^12 - (36*z^2)/a^10 + (5*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (34*z^4)/a^12 - (45*z^4)/a^10 + (13*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (33*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 55165] -> 8/a^8 - 30/a^6 + 35/a^4 - 12/a^2 + 
   (18*z^2)/a^8 - (83*z^2)/a^6 + (110*z^2)/a^4 - (38*z^2)/a^2 + 
   (15*z^4)/a^8 - (94*z^4)/a^6 + (146*z^4)/a^4 - (46*z^4)/a^2 + (6*z^6)/a^8 - 
   (54*z^6)/a^6 + (106*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + 
   (44*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55166] -> 6/a^8 - 23/a^6 + 27/a^4 - 
   9/a^2 + (15*z^2)/a^8 - (69*z^2)/a^6 + (92*z^2)/a^4 - (32*z^2)/a^2 + 
   (14*z^4)/a^8 - (85*z^4)/a^6 + (131*z^4)/a^4 - (42*z^4)/a^2 + (6*z^6)/a^8 - 
   (52*z^6)/a^6 + (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + 
   (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55167] -> -2 + 3/a^8 - 11/a^6 + 10/a^4 + 
   a^(-2) - 8*z^2 + (6*z^2)/a^8 - (26*z^2)/a^6 + (25*z^2)/a^4 + (8*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + (27*z^4)/a^4 + (17*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55168] -> 26 - 9/a^2 - 23*a^2 + 7*a^4 + 78*z^2 - 
   (21*z^2)/a^2 - 82*a^2*z^2 + 27*a^4*z^2 + 95*z^4 - (18*z^4)/a^2 - 
   121*a^2*z^4 + 38*a^4*z^4 + 57*z^6 - (7*z^6)/a^2 - 95*a^2*z^6 + 
   25*a^4*z^6 + 17*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 55169] -> 
  9 - 3/a^4 + 3/a^2 - 13*a^2 + 5*a^4 + 13*z^2 - (6*z^2)/a^4 + (14*z^2)/a^2 - 
   34*a^2*z^2 + 14*a^4*z^2 + z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 37*a^2*z^4 + 
   14*a^4*z^4 - 8*z^6 - z^6/a^4 + (10*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55170] -> 8/a^8 - 30/a^6 + 35/a^4 - 12/a^2 + 
   (18*z^2)/a^8 - (83*z^2)/a^6 + (110*z^2)/a^4 - (38*z^2)/a^2 + 
   (15*z^4)/a^8 - (94*z^4)/a^6 + (146*z^4)/a^4 - (46*z^4)/a^2 + (6*z^6)/a^8 - 
   (54*z^6)/a^6 + (106*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + 
   (44*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55171] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (21*z^4)/a^8 - (13*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55172] -> a^(-12) - a^(-10) - 6/a^8 + 
   9/a^6 - 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + (22*z^2)/a^6 - 
   (7*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (18*z^4)/a^8 + (21*z^4)/a^6 - 
   (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + (12*z^6)/a^6 - 
   (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55173] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (21*z^4)/a^8 - (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55174] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55175] -> 
  6 - 5/a^6 + 15/a^4 - 15/a^2 + 21*z^2 - (12*z^2)/a^6 + (50*z^2)/a^4 - 
   (59*z^2)/a^2 + 29*z^4 - (13*z^4)/a^6 + (67*z^4)/a^4 - (92*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55176] -> 4 - 3/a^8 + 7/a^6 - 2/a^4 - 
   5/a^2 + 10*z^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - (6*z^2)/a^4 - (18*z^2)/a^2 + 
   10*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (11*z^4)/a^4 - (24*z^4)/a^2 + 
   5*z^6 - z^6/a^8 + (10*z^6)/a^6 - (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55177] -> -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   (7*z^2)/a^10 + (24*z^2)/a^8 - (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (33*z^4)/a^8 - (36*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (17*z^6)/a^8 - (32*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55178] -> -a^(-12) + 5/a^8 - 6/a^6 + 
   a^(-4) + 2/a^2 - (3*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 - 
   (18*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - 
   (23*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 55179] -> -2/a^12 + 4/a^10 - a^(-8) - 
   4/a^4 + 4/a^2 - (3*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + 
   (4*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - 
   (21*z^4)/a^8 + (8*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - 
   (14*z^6)/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 55180] -> 
  2 - 2/a^12 + 4/a^10 - 2/a^8 + 2/a^6 - 3/a^4 + 3*z^2 - z^2/a^12 + 
   (8*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + 
   (3*z^4)/a^10 - (8*z^4)/a^8 - (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 
   (3*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 55181] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (9*z^2)/a^10 + (33*z^2)/a^8 - (40*z^2)/a^6 + (18*z^2)/a^4 - 
   (12*z^4)/a^10 + (58*z^4)/a^8 - (76*z^4)/a^6 + (26*z^4)/a^4 - 
   (6*z^6)/a^10 + (43*z^6)/a^8 - (69*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55182] -> 
  -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (19*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (19*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55183] -> -3/a^14 + 9/a^12 - 5/a^10 - 8/a^8 + 8/a^6 - 
   (7*z^2)/a^14 + (29*z^2)/a^12 - (24*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (5*z^4)/a^14 + (34*z^4)/a^12 - (39*z^4)/a^10 - 
   (18*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (32*z^6)/a^10 - 
   (14*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55184] -> 
  4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + (12*z^2)/a^8 - (49*z^2)/a^6 + 
   (61*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - (67*z^4)/a^6 + (92*z^4)/a^4 - 
   (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55185] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 8*z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (9*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55186] -> 
  9 - 4/a^2 - 4*a^2 + 44*z^2 + (8*z^2)/a^4 - (32*z^2)/a^2 - 16*a^2*z^2 + 
   78*z^4 + (12*z^4)/a^4 - (57*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - 
   (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55187] -> 
  8 - a^(-6) + 3/a^4 - 6/a^2 - 3*a^2 + 23*z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (12*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55188] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (9*z^2)/a^10 + (33*z^2)/a^8 - (40*z^2)/a^6 + (18*z^2)/a^4 - 
   (12*z^4)/a^10 + (58*z^4)/a^8 - (76*z^4)/a^6 + (26*z^4)/a^4 - 
   (6*z^6)/a^10 + (43*z^6)/a^8 - (69*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55189] -> 
  -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (19*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (19*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55190] -> 6 - 5/a^6 + 15/a^4 - 15/a^2 + 21*z^2 - 
   (12*z^2)/a^6 + (50*z^2)/a^4 - (59*z^2)/a^2 + 29*z^4 - (13*z^4)/a^6 + 
   (67*z^4)/a^4 - (92*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55191] -> 
  4 - 3/a^8 + 7/a^6 - 2/a^4 - 5/a^2 + 10*z^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - 
   (6*z^2)/a^4 - (18*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - 
   (11*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55192] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (21*z^4)/a^8 - (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55193] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55194] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (21*z^4)/a^8 - (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55195] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55196] -> 
  9 - 4/a^2 - 4*a^2 + 44*z^2 + (8*z^2)/a^4 - (32*z^2)/a^2 - 16*a^2*z^2 + 
   78*z^4 + (12*z^4)/a^4 - (57*z^4)/a^2 - 25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - 
   (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55197] -> 
  8 - a^(-6) + 3/a^4 - 6/a^2 - 3*a^2 + 23*z^2 + (2*z^2)/a^6 - z^2/a^4 - 
   (12*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55198] -> 4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + 
   (12*z^2)/a^8 - (49*z^2)/a^6 + (61*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - 
   (67*z^4)/a^6 + (92*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55199] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 8*z^2 + 
   (5*z^2)/a^8 - (14*z^2)/a^6 + (4*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (9*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55200] -> 6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + 
   (9*z^2)/a^4 - (23*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + 
   (10*z^4)/a^4 - (27*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55201] -> 
  6 - 3/a^6 + 11/a^4 - 13/a^2 + 17*z^2 - (13*z^2)/a^6 + (46*z^2)/a^4 - 
   (52*z^2)/a^2 + 17*z^4 - (22*z^4)/a^6 + (74*z^4)/a^4 - (73*z^4)/a^2 + 
   7*z^6 - (18*z^6)/a^6 + (65*z^6)/a^4 - (49*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (16*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55202] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 
   8*z^2 - (7*z^2)/a^6 + (20*z^2)/a^4 - (13*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (9*z^4)/a^6 + (24*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55203] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 4*a^2 - 
   21*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 23*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55204] -> 1 - a^(-6) + 4/a^4 - 3/a^2 - 2*a^2 + 2*a^4 + 
   z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 
   3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 55205] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 
   16*z^2 + (8*z^2)/a^4 - (24*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + 
   (9*z^4)/a^4 - (26*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55206] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 55207] -> 
  6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + (9*z^2)/a^4 - (23*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (10*z^4)/a^4 - (27*z^4)/a^2 + 
   15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55208] -> 6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + 
   (9*z^2)/a^4 - (23*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + 
   (10*z^4)/a^4 - (27*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55209] -> 
  -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - (5*z^2)/a^10 + (21*z^2)/a^8 - 
   (24*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (36*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (29*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55210] -> 2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + 
   (5*z^2)/a^12 - (22*z^2)/a^10 + (25*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (37*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55211] -> 29 - 10/a^2 - 26*a^2 + 8*a^4 + 
   84*z^2 - (23*z^2)/a^2 - 87*a^2*z^2 + 28*a^4*z^2 + 99*z^4 - (19*z^4)/a^2 - 
   123*a^2*z^4 + 38*a^4*z^4 + 58*z^6 - (7*z^6)/a^2 - 95*a^2*z^6 + 
   25*a^4*z^6 + 17*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 55212] -> 
  5 - 4/a^6 + 12/a^4 - 12/a^2 + 19*z^2 - (9*z^2)/a^6 + (41*z^2)/a^4 - 
   (51*z^2)/a^2 + 28*z^4 - (10*z^4)/a^6 + (57*z^4)/a^4 - (85*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55213] -> 3/a^8 - 12/a^6 + 14/a^4 - 
   4/a^2 + (9*z^2)/a^8 - (40*z^2)/a^6 + (53*z^2)/a^4 - (18*z^2)/a^2 + 
   (10*z^4)/a^8 - (57*z^4)/a^6 + (85*z^4)/a^4 - (28*z^4)/a^2 + (5*z^6)/a^8 - 
   (40*z^6)/a^6 + (73*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + 
   (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55214] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   11*z^2 - (8*z^2)/a^6 + (29*z^2)/a^4 - (30*z^2)/a^2 + 23*z^4 - 
   (10*z^4)/a^6 + (51*z^4)/a^4 - (67*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + 
   (39*z^6)/a^4 - (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55215] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 36*z^2 + 
   (5*z^2)/a^4 - (23*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - 
   (47*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55216] -> 
  -4/a^14 + 15/a^12 - 18/a^10 + 4/a^8 + 4/a^6 - (8*z^2)/a^14 + 
   (38*z^2)/a^12 - (49*z^2)/a^10 + (10*z^2)/a^8 + (12*z^2)/a^6 - 
   (5*z^4)/a^14 + (39*z^4)/a^12 - (58*z^4)/a^10 + (4*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (39*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55217] -> 
  -2 + 4/a^8 - 16/a^6 + 17/a^4 - 2/a^2 - 7*z^2 + (8*z^2)/a^8 - (40*z^2)/a^6 + 
   (49*z^2)/a^4 - (3*z^2)/a^2 - 9*z^4 + (5*z^4)/a^8 - (40*z^4)/a^6 + 
   (60*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + z^6/a^8 - (18*z^6)/a^6 + 
   (40*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (14*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 55218] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 11*z^2 - (8*z^2)/a^6 + (29*z^2)/a^4 - 
   (30*z^2)/a^2 + 23*z^4 - (10*z^4)/a^6 + (51*z^4)/a^4 - (67*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55219] -> 8 - 6/a^6 + 19/a^4 - 20/a^2 + 
   30*z^2 - (15*z^2)/a^6 + (66*z^2)/a^4 - (82*z^2)/a^2 + 41*z^4 - 
   (14*z^4)/a^6 + (84*z^4)/a^4 - (126*z^4)/a^2 + 26*z^6 - (6*z^6)/a^6 + 
   (52*z^6)/a^4 - (99*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - 
   (43*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55220] -> 6 - 3/a^8 + 6/a^6 + 2/a^4 - 10/a^2 + 
   15*z^2 - (6*z^2)/a^8 + (21*z^2)/a^6 - (3*z^2)/a^4 - (29*z^2)/a^2 + 
   14*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - (14*z^4)/a^4 - (34*z^4)/a^2 + 
   6*z^6 - z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 - (21*z^6)/a^2 + z^8 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55221] -> 7/a^8 - 26/a^6 + 30/a^4 - 10/a^2 + 
   (17*z^2)/a^8 - (75*z^2)/a^6 + (97*z^2)/a^4 - (33*z^2)/a^2 + (15*z^4)/a^8 - 
   (89*z^4)/a^6 + (133*z^4)/a^4 - (42*z^4)/a^2 + (6*z^6)/a^8 - (53*z^6)/a^6 + 
   (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55222] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 36*z^2 + 
   (5*z^2)/a^4 - (23*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - 
   (47*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55223] -> 
  -6/a^6 + 17/a^4 - 13/a^2 + 3*a^2 - 11*z^2 - (9*z^2)/a^6 + (38*z^2)/a^4 - 
   (31*z^2)/a^2 + 11*a^2*z^2 - 23*z^4 - (5*z^4)/a^6 + (33*z^4)/a^4 - 
   (34*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 - z^6/a^6 + (13*z^6)/a^4 - 
   (21*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 55224] -> 
  -2 - 3/a^8 + 6/a^6 - 3/a^2 + 3*a^2 - 6*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (12*z^2)/a^2 + 6*a^2*z^2 - 7*z^4 - z^4/a^8 + (8*z^4)/a^6 - (3*z^4)/a^4 - 
   (16*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 55225] -> -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (24*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (36*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55226] -> 2/a^12 - 7/a^10 + 7/a^8 - 
   3/a^6 + 2/a^4 + (5*z^2)/a^12 - (22*z^2)/a^10 + (25*z^2)/a^8 - 
   (4*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - (27*z^4)/a^10 + (37*z^4)/a^8 - 
   z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + 
   (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55227] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (9*z^2)/a^8 - (40*z^2)/a^6 + 
   (53*z^2)/a^4 - (18*z^2)/a^2 + (10*z^4)/a^8 - (57*z^4)/a^6 + (85*z^4)/a^4 - 
   (28*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + (73*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55228] -> 
  16 + a^(-4) - 9/a^2 - 7*a^2 + 57*z^2 + (6*z^2)/a^4 - (35*z^2)/a^2 - 
   22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - (53*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + 
   (5*z^6)/a^4 - (39*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 55229] -> 5 - 4/a^6 + 12/a^4 - 12/a^2 + 19*z^2 - 
   (9*z^2)/a^6 + (41*z^2)/a^4 - (51*z^2)/a^2 + 28*z^4 - (10*z^4)/a^6 + 
   (57*z^4)/a^4 - (85*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55230] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (7*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 55231] -> 
  6 - 4/a^4 + 6/a^2 - 12*a^2 + 5*a^4 + 8*z^2 - (8*z^2)/a^4 + (20*z^2)/a^2 - 
   33*a^2*z^2 + 14*a^4*z^2 - z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 - 37*a^2*z^4 + 
   14*a^4*z^4 - 8*z^6 - z^6/a^4 + (11*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55232] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - (5*z^2)/a^6 + (18*z^2)/a^4 - (3*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (7*z^4)/a^6 + (10*z^4)/a^4 + 
   (3*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (10*z^6)/a^6 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 55233] -> 4 - 4/a^6 + 11/a^4 - 10/a^2 + 18*z^2 - 
   (12*z^2)/a^6 + (46*z^2)/a^4 - (51*z^2)/a^2 + 28*z^4 - (13*z^4)/a^6 + 
   (66*z^4)/a^4 - (87*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55234] -> 
  -2/a^10 + 8/a^8 - 12/a^6 + 7/a^4 - (10*z^2)/a^10 + (41*z^2)/a^8 - 
   (53*z^2)/a^6 + (23*z^2)/a^4 - (12*z^4)/a^10 + (63*z^4)/a^8 - 
   (89*z^4)/a^6 + (30*z^4)/a^4 - (6*z^6)/a^10 + (44*z^6)/a^8 - (75*z^6)/a^6 + 
   (20*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55235] -> -2/a^12 + 4/a^10 - 4/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (7*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (17*z^4)/a^8 - z^4/a^6 - 
   (9*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (13*z^6)/a^8 + (4*z^6)/a^6 - 
   (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 55236] -> -2 - 2/a^8 + 2/a^6 + 3/a^4 - 
   2/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + 
   z^4/a^2 + 4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55237] -> -2/a^10 + 6/a^8 - 5/a^6 - a^(-4) + 3/a^2 - 
   (5*z^2)/a^10 + (18*z^2)/a^8 - (11*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (14*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55238] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (7*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (22*z^4)/a^8 - (22*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55239] -> -2/a^12 + 4/a^10 - 4/a^6 + 
   a^(-4) + 2/a^2 - (3*z^2)/a^12 + (13*z^2)/a^10 - (7*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - 
   (17*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (4*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 55240] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (13*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + 
   (28*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 55241] -> 
  -4/a^10 + 15/a^8 - 20/a^6 + 10/a^4 - (12*z^2)/a^10 + (51*z^2)/a^8 - 
   (66*z^2)/a^6 + (27*z^2)/a^4 - (13*z^4)/a^10 + (68*z^4)/a^8 - 
   (96*z^4)/a^6 + (31*z^4)/a^4 - (6*z^6)/a^10 + (45*z^6)/a^8 - (76*z^6)/a^6 + 
   (20*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55242] -> -2/a^10 + 4/a^8 + 2/a^6 - 9/a^4 + 6/a^2 - 
   (5*z^2)/a^10 + (16*z^2)/a^8 - z^2/a^6 - (24*z^2)/a^4 + (13*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (9*z^4)/a^6 - (28*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55243] -> 5/a^8 - 19/a^6 + 22/a^4 - 7/a^2 + 
   (13*z^2)/a^8 - (57*z^2)/a^6 + (74*z^2)/a^4 - (25*z^2)/a^2 + (13*z^4)/a^8 - 
   (72*z^4)/a^6 + (105*z^4)/a^4 - (33*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + 
   (81*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55244] -> 14 - 2/a^4 - a^(-2) - 15*a^2 + 5*a^4 + 
   22*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 34*a^2*z^2 + 12*a^4*z^2 + 10*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - 33*a^2*z^4 + 11*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 18*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55245] -> 
  5/a^8 - 19/a^6 + 22/a^4 - 7/a^2 + (13*z^2)/a^8 - (57*z^2)/a^6 + 
   (74*z^2)/a^4 - (25*z^2)/a^2 + (13*z^4)/a^8 - (72*z^4)/a^6 + 
   (105*z^4)/a^4 - (33*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + (81*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55246] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55247] -> 4 - 2/a^8 + 3/a^6 + 3/a^4 - 7/a^2 + 10*z^2 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - (21*z^2)/a^2 + 10*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (25*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55248] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 15*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - 7*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 55249] -> 
  -4/a^10 + 11/a^8 - 8/a^6 - 2/a^4 + 4/a^2 - (8*z^2)/a^10 + (35*z^2)/a^8 - 
   (30*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (39*z^4)/a^8 - 
   (49*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (38*z^6)/a^6 - (14*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55250] -> 2 - 4/a^10 + 10/a^8 - 6/a^6 - a^(-4) + 
   5*z^2 - (4*z^2)/a^10 + (21*z^2)/a^8 - (15*z^2)/a^6 - (6*z^2)/a^4 - 
   (2*z^2)/a^2 + 4*z^4 - z^4/a^10 + (14*z^4)/a^8 - (18*z^4)/a^6 - 
   (13*z^4)/a^4 - (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55251] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + 
   (12*z^2)/a^8 - (45*z^2)/a^6 + (53*z^2)/a^4 - (17*z^2)/a^2 + (13*z^4)/a^8 - 
   (66*z^4)/a^6 + (87*z^4)/a^4 - (28*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55252] -> 4 - 4/a^6 + 11/a^4 - 10/a^2 + 18*z^2 - 
   (12*z^2)/a^6 + (46*z^2)/a^4 - (51*z^2)/a^2 + 28*z^4 - (13*z^4)/a^6 + 
   (66*z^4)/a^4 - (87*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55253] -> 
  -2/a^10 + 8/a^8 - 12/a^6 + 7/a^4 - (10*z^2)/a^10 + (41*z^2)/a^8 - 
   (53*z^2)/a^6 + (23*z^2)/a^4 - (12*z^4)/a^10 + (63*z^4)/a^8 - 
   (89*z^4)/a^6 + (30*z^4)/a^4 - (6*z^6)/a^10 + (44*z^6)/a^8 - (75*z^6)/a^6 + 
   (20*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55254] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (12*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (30*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55255] -> 5/a^8 - 18/a^6 + 20/a^4 - 
   6/a^2 + (14*z^2)/a^8 - (55*z^2)/a^6 + (66*z^2)/a^4 - (21*z^2)/a^2 + 
   (14*z^4)/a^8 - (71*z^4)/a^6 + (94*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - 
   (46*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55256] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 
   8/a^2 - 9*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 - (2*z^2)/a^4 + (21*z^2)/a^2 - 
   10*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + (5*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55257] -> 4 - 2/a^8 + 3/a^6 + 3/a^4 - 7/a^2 + 10*z^2 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - (21*z^2)/a^2 + 10*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (25*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55258] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 15*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - 7*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 55259] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (3*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (11*z^4)/a^8 - 
   (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55260] -> 14 - 2/a^4 - a^(-2) - 15*a^2 + 5*a^4 + 
   22*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 34*a^2*z^2 + 12*a^4*z^2 + 10*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - 33*a^2*z^4 + 11*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 18*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55261] -> 
  6 - 4/a^4 + 6/a^2 - 12*a^2 + 5*a^4 + 8*z^2 - (8*z^2)/a^4 + (20*z^2)/a^2 - 
   33*a^2*z^2 + 14*a^4*z^2 - z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 - 37*a^2*z^4 + 
   14*a^4*z^4 - 8*z^6 - z^6/a^4 + (11*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55262] -> -2/a^18 + 10/a^16 - 13/a^14 - a^(-12) + 
   7/a^10 - z^2/a^18 + (16*z^2)/a^16 - (39*z^2)/a^14 + (7*z^2)/a^12 + 
   (27*z^2)/a^10 + (5*z^4)/a^16 - (35*z^4)/a^14 + (23*z^4)/a^12 + 
   (37*z^4)/a^10 + (2*z^4)/a^8 - (9*z^6)/a^14 + (20*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 55263] -> 9/a^8 - 33/a^6 + 38/a^4 - 13/a^2 + 
   (21*z^2)/a^8 - (92*z^2)/a^6 + (118*z^2)/a^4 - (40*z^2)/a^2 + 
   (18*z^4)/a^8 - (104*z^4)/a^6 + (153*z^4)/a^4 - (47*z^4)/a^2 + 
   (7*z^6)/a^8 - (59*z^6)/a^6 + (108*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - 
   (17*z^8)/a^6 + (44*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55264] -> 
  7/a^8 - 26/a^6 + 30/a^4 - 10/a^2 + (15*z^2)/a^8 - (67*z^2)/a^6 + 
   (87*z^2)/a^4 - (29*z^2)/a^2 + (14*z^4)/a^8 - (77*z^4)/a^6 + 
   (112*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + (82*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55265] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (13*z^2)/a^8 - (7*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (22*z^4)/a^8 - (22*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55266] -> -3/a^14 + 12/a^12 - 17/a^10 + 
   7/a^8 + 2/a^6 - (7*z^2)/a^14 + (31*z^2)/a^12 - (44*z^2)/a^10 + 
   (18*z^2)/a^8 + (7*z^2)/a^6 - (5*z^4)/a^14 + (34*z^4)/a^12 - 
   (50*z^4)/a^10 + (13*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (34*z^6)/a^10 - z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 55267] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (12*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (30*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55268] -> -2 - 2/a^6 + a^(-4) + 4/a^2 - 
   7*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + (13*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (28*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55269] -> 2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (21*z^2)/a^10 + (13*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (31*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55270] -> a^(-8) - 4/a^6 + 4/a^4 + 
   (6*z^2)/a^8 - (20*z^2)/a^6 + (22*z^2)/a^4 - (6*z^2)/a^2 + (9*z^4)/a^8 - 
   (39*z^4)/a^6 + (46*z^4)/a^4 - (15*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + 
   (48*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55271] -> 22 + 3/a^4 - 15/a^2 - 9*a^2 + 70*z^2 + 
   (11*z^2)/a^4 - (50*z^2)/a^2 - 25*a^2*z^2 + 98*z^4 + (13*z^4)/a^4 - 
   (67*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55272] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 7*z^2 - (6*z^2)/a^6 + (21*z^2)/a^4 - 
   (20*z^2)/a^2 + 15*z^4 - (9*z^4)/a^6 + (39*z^4)/a^4 - (46*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55273] -> -4/a^10 + 15/a^8 - 20/a^6 + 
   10/a^4 - (12*z^2)/a^10 + (51*z^2)/a^8 - (66*z^2)/a^6 + (27*z^2)/a^4 - 
   (13*z^4)/a^10 + (68*z^4)/a^8 - (96*z^4)/a^6 + (31*z^4)/a^4 - 
   (6*z^6)/a^10 + (45*z^6)/a^8 - (76*z^6)/a^6 + (20*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55274] -> 
  -2/a^10 + 4/a^8 + 2/a^6 - 9/a^4 + 6/a^2 - (5*z^2)/a^10 + (16*z^2)/a^8 - 
   z^2/a^6 - (24*z^2)/a^4 + (13*z^2)/a^2 - (4*z^4)/a^10 + (19*z^4)/a^8 - 
   (9*z^4)/a^6 - (28*z^4)/a^4 + (11*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (10*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55275] -> -2/a^12 + 3/a^10 + 3/a^8 - 5/a^6 - 2/a^4 + 
   4/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 - (19*z^2)/a^6 - 
   (3*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (4*z^4)/a^8 - 
   (26*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (15*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 55276] -> 2 - 2/a^12 + 3/a^10 + 2/a^8 - 
   3/a^6 - a^(-4) + 3*z^2 - z^2/a^12 + (7*z^2)/a^10 + (2*z^2)/a^8 - 
   (8*z^2)/a^6 - (5*z^2)/a^4 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (11*z^4)/a^6 - (8*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 55277] -> 
  3 + 2/a^6 - 8/a^4 + 7/a^2 - 3*a^2 + 14*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (14*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 55278] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 5*z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 55279] -> -2/a^10 + 6/a^8 - 5/a^6 - 
   a^(-4) + 3/a^2 - (5*z^2)/a^10 + (18*z^2)/a^8 - (11*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - (14*z^4)/a^6 - 
   (21*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55280] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + (4*z^2)/a^12 - (19*z^2)/a^10 + 
   (24*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + (4*z^4)/a^12 - (23*z^4)/a^10 + 
   (33*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (25*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (3*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55281] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 7*z^2 - (6*z^2)/a^6 + (21*z^2)/a^4 - 
   (20*z^2)/a^2 + 15*z^4 - (9*z^4)/a^6 + (39*z^4)/a^4 - (46*z^4)/a^2 + 
   14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55282] -> a^(-8) - 4/a^6 + 4/a^4 + 
   (6*z^2)/a^8 - (20*z^2)/a^6 + (22*z^2)/a^4 - (6*z^2)/a^2 + (9*z^4)/a^8 - 
   (39*z^4)/a^6 + (46*z^4)/a^4 - (15*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + 
   (48*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55283] -> 22 + 3/a^4 - 15/a^2 - 9*a^2 + 70*z^2 + 
   (11*z^2)/a^4 - (50*z^2)/a^2 - 25*a^2*z^2 + 98*z^4 + (13*z^4)/a^4 - 
   (67*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55284] -> 
  7 - 2/a^4 + a^(-2) - 7*a^2 + 2*a^4 + 12*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   21*a^2*z^2 + 8*a^4*z^2 + 5*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 4*z^6 - z^6/a^4 + (9*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55285] -> 7/a^8 - 26/a^6 + 30/a^4 - 10/a^2 + 
   (15*z^2)/a^8 - (67*z^2)/a^6 + (87*z^2)/a^4 - (29*z^2)/a^2 + (14*z^4)/a^8 - 
   (77*z^4)/a^6 + (112*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + 
   (82*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55286] -> 7 - 2/a^4 + a^(-2) - 7*a^2 + 2*a^4 + 
   12*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 - 21*a^2*z^2 + 8*a^4*z^2 + 5*z^4 - 
   (4*z^4)/a^4 + (15*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55287] -> 
  5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + (14*z^2)/a^8 - (55*z^2)/a^6 + 
   (66*z^2)/a^4 - (21*z^2)/a^2 + (14*z^4)/a^8 - (71*z^4)/a^6 + (94*z^4)/a^4 - 
   (29*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55288] -> 
  -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 9*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 - 
   (2*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + 
   (5*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55289] -> 
  -2 - 2/a^8 + 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 55290] -> 3/a^8 - 11/a^6 + 12/a^4 - 
   3/a^2 + (12*z^2)/a^8 - (45*z^2)/a^6 + (53*z^2)/a^4 - (17*z^2)/a^2 + 
   (13*z^4)/a^8 - (66*z^4)/a^6 + (87*z^4)/a^4 - (28*z^4)/a^2 + (6*z^6)/a^8 - 
   (45*z^6)/a^6 + (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55291] -> a^(-8) - 4/a^6 + 4/a^4 - 5*z^2 + 
   (5*z^2)/a^8 - (14*z^2)/a^6 + (8*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (10*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55292] -> 3 + 2/a^6 - 8/a^4 + 7/a^2 - 3*a^2 + 14*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55293] -> 
  9/a^8 - 33/a^6 + 38/a^4 - 13/a^2 + (21*z^2)/a^8 - (92*z^2)/a^6 + 
   (118*z^2)/a^4 - (40*z^2)/a^2 + (18*z^4)/a^8 - (104*z^4)/a^6 + 
   (153*z^4)/a^4 - (47*z^4)/a^2 + (7*z^6)/a^8 - (59*z^6)/a^6 + 
   (108*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (44*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55294] -> -1 + 4*a^2 - 2*a^4 - 5*z^2 + 16*a^2*z^2 - 
   9*a^4*z^2 - 4*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + 21*a^2*z^4 - 8*a^4*z^4 - 
   12*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 2*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55295] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2/a^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 
   7*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 55296] -> 
  9 - 2/a^2 - 10*a^2 + 4*a^4 + 40*z^2 - (11*z^2)/a^2 - 47*a^2*z^2 + 
   16*a^4*z^2 + 70*z^4 - (21*z^4)/a^2 - 71*a^2*z^4 + 17*a^4*z^4 + 64*z^6 - 
   (18*z^6)/a^2 - 49*a^2*z^6 + 7*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 
   16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 55297] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 13*z^2 - 
   (2*z^2)/a^4 + z^2/a^2 - 23*a^2*z^2 + 8*a^4*z^2 + 13*z^4 - (5*z^4)/a^4 + 
   (7*z^4)/a^2 - 23*a^2*z^4 + 5*a^4*z^4 + 10*z^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55298] -> 
  5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 14*z^2 - (5*z^2)/a^2 - 6*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 + 18*z^4 - (8*z^4)/a^2 - 20*a^4*z^4 + 5*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 6*z^8 - 
   z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 55299] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 5*z^2 - 
   z^2/a^4 - 5*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + 
   z^4/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 55300] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 16*z^2 + 
   (8*z^2)/a^4 - (24*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 10*z^4 + 
   (9*z^4)/a^4 - (26*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55301] -> 
  2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 55302] -> 
  -4/a^10 + 12/a^8 - 12/a^6 + 3/a^4 + 2/a^2 - (8*z^2)/a^10 + (36*z^2)/a^8 - 
   (38*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^10 + (39*z^4)/a^8 - 
   (54*z^4)/a^6 - (3*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (39*z^6)/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55303] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 - 4*z^2 + 
   (7*z^2)/a^8 - (31*z^2)/a^6 + (39*z^2)/a^4 - (6*z^2)/a^2 - 8*z^4 + 
   (5*z^4)/a^8 - (37*z^4)/a^6 + (52*z^4)/a^4 - 5*z^6 + z^6/a^8 - 
   (18*z^6)/a^6 + (38*z^6)/a^4 + (7*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55304] -> -3/a^6 + 5/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (4*z^2)/a^8 - (5*z^2)/a^6 + (15*z^2)/a^4 - (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (18*z^4)/a^4 - z^4/a^2 - z^6 - 
   (3*z^6)/a^8 + (5*z^6)/a^6 + (12*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + 
   (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 55305] -> 
  6 - 5/a^6 + 15/a^4 - 15/a^2 + 25*z^2 - (14*z^2)/a^6 + (58*z^2)/a^4 - 
   (69*z^2)/a^2 + 37*z^4 - (14*z^4)/a^6 + (79*z^4)/a^4 - (113*z^4)/a^2 + 
   25*z^6 - (6*z^6)/a^6 + (51*z^6)/a^4 - (93*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (16*z^8)/a^4 - (42*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55306] -> -3/a^10 + 12/a^8 - 17/a^6 + 
   9/a^4 - (12*z^2)/a^10 + (53*z^2)/a^8 - (71*z^2)/a^6 + (30*z^2)/a^4 - 
   (13*z^4)/a^10 + (76*z^4)/a^8 - (115*z^4)/a^6 + (39*z^4)/a^4 - 
   (6*z^6)/a^10 + (50*z^6)/a^8 - (94*z^6)/a^6 + (25*z^6)/a^4 - z^8/a^10 + 
   (16*z^8)/a^8 - (42*z^8)/a^6 + (8*z^8)/a^4 + (2*z^10)/a^8 - (10*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55307] -> 
  -3/a^10 + 10/a^8 - 10/a^6 + a^(-4) + 3/a^2 - (6*z^2)/a^10 + (26*z^2)/a^8 - 
   (24*z^2)/a^6 - (6*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - 
   (27*z^4)/a^6 - (17*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - 
   (17*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (6*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55308] -> 4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + 
   (14*z^2)/a^8 - (57*z^2)/a^6 + (71*z^2)/a^4 - (24*z^2)/a^2 + (14*z^4)/a^8 - 
   (79*z^4)/a^6 + (113*z^4)/a^4 - (37*z^4)/a^2 + (6*z^6)/a^8 - (51*z^6)/a^6 + 
   (93*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55309] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 5*z^2 + 
   (6*z^2)/a^8 - (22*z^2)/a^6 + (21*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (24*z^4)/a^6 + (23*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55310] -> -2 - 5/a^6 + 13/a^4 - 8/a^2 + 3*a^2 - 
   14*z^2 - (9*z^2)/a^6 + (34*z^2)/a^4 - (23*z^2)/a^2 + 11*a^2*z^2 - 24*z^4 - 
   (5*z^4)/a^6 + (32*z^4)/a^4 - (29*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (13*z^6)/a^4 - (20*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55311] -> 
  3 - 3/a^6 + 8/a^4 - 7/a^2 + 16*z^2 - (9*z^2)/a^6 + (37*z^2)/a^4 - 
   (43*z^2)/a^2 + 27*z^4 - (10*z^4)/a^6 + (56*z^4)/a^4 - (80*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55312] -> -2/a^12 + 3/a^10 + 4/a^8 - 
   9/a^6 + 3/a^4 + 2/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + (5*z^2)/a^8 - 
   (23*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (15*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 55313] -> -3/a^10 + 8/a^8 - 3/a^6 - 7/a^4 + 
   6/a^2 - (6*z^2)/a^10 + (23*z^2)/a^8 - (10*z^2)/a^6 - (24*z^2)/a^4 + 
   (15*z^2)/a^2 - (4*z^4)/a^10 + (24*z^4)/a^8 - (18*z^4)/a^6 - (32*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6/a^10 + (11*z^6)/a^8 - (15*z^6)/a^6 - (21*z^6)/a^4 + 
   (6*z^6)/a^2 + (2*z^8)/a^8 - (6*z^8)/a^6 - (7*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55314] -> 
  3 - 3/a^6 + 8/a^4 - 7/a^2 + 16*z^2 - (9*z^2)/a^6 + (37*z^2)/a^4 - 
   (43*z^2)/a^2 + 27*z^4 - (10*z^4)/a^6 + (56*z^4)/a^4 - (80*z^4)/a^2 + 
   20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55315] -> -5/a^10 + 19/a^8 - 25/a^6 + 
   12/a^4 - (15*z^2)/a^10 + (67*z^2)/a^8 - (89*z^2)/a^6 + (36*z^2)/a^4 - 
   (14*z^4)/a^10 + (85*z^4)/a^8 - (130*z^4)/a^6 + (43*z^4)/a^4 - 
   (6*z^6)/a^10 + (52*z^6)/a^8 - (100*z^6)/a^6 + (26*z^6)/a^4 - z^8/a^10 + 
   (16*z^8)/a^8 - (43*z^8)/a^6 + (8*z^8)/a^4 + (2*z^10)/a^8 - (10*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55316] -> 
  3 - 3/a^10 + 8/a^8 - 5/a^6 - 2/a^2 + 6*z^2 - (3*z^2)/a^10 + (15*z^2)/a^8 - 
   (11*z^2)/a^6 - (2*z^2)/a^4 - (8*z^2)/a^2 + 4*z^4 - z^4/a^10 + 
   (9*z^4)/a^8 - (11*z^4)/a^6 - (6*z^4)/a^4 - (10*z^4)/a^2 + z^6 + 
   (2*z^6)/a^8 - (5*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 55317] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + (9*z^2)/a^8 - (36*z^2)/a^6 + (45*z^2)/a^4 - 
   (15*z^2)/a^2 + (10*z^4)/a^8 - (56*z^4)/a^6 + (80*z^4)/a^4 - (27*z^4)/a^2 + 
   (5*z^6)/a^8 - (40*z^6)/a^6 + (72*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55318] -> 
  6 - 2/a^8 + 2/a^6 + 7/a^4 - 12/a^2 + 15*z^2 - (5*z^2)/a^8 + (13*z^2)/a^6 + 
   (10*z^2)/a^4 - (34*z^2)/a^2 + 14*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   z^4/a^4 - (38*z^4)/a^2 + 6*z^6 - z^6/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 - 
   (22*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 55319] -> -2 - 2/a^8 + 2/a^6 + 5/a^4 - 
   5/a^2 + 3*a^2 - 6*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 + (8*z^2)/a^4 - 
   (15*z^2)/a^2 + 6*a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 55320] -> -6/a^6 + 15/a^4 - 10/a^2 + 2*a^2 - 4*z^2 - 
   (11*z^2)/a^6 + (44*z^2)/a^4 - (37*z^2)/a^2 + 9*a^2*z^2 - 10*z^4 - 
   (6*z^4)/a^6 + (46*z^4)/a^4 - (56*z^4)/a^2 + 12*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (20*z^6)/a^4 - (42*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (15*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 55321] -> -2/a^8 + a^(-6) + 7/a^4 - 7/a^2 + 2*a^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 + (10*z^2)/a^4 - (21*z^2)/a^2 + 5*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (10*z^4)/a^6 - z^4/a^4 - (25*z^4)/a^2 + 4*a^2*z^4 - 
   3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (14*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 55322] -> 
  6 - 2/a^8 + 2/a^6 + 7/a^4 - 12/a^2 + 15*z^2 - (5*z^2)/a^8 + (13*z^2)/a^6 + 
   (10*z^2)/a^4 - (34*z^2)/a^2 + 14*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   z^4/a^4 - (38*z^4)/a^2 + 6*z^6 - z^6/a^8 + (10*z^6)/a^6 - (8*z^6)/a^4 - 
   (22*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 55323] -> -5 - 2/a^8 + 4/a^6 - 2/a^4 + 
   3/a^2 + 3*a^2 - 15*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + 
   (11*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (21*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55324] -> 
  -3 - 2/a^8 + 3/a^6 + a^(-2) + 2*a^2 - 9*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (16*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 55325] -> -3/a^6 + 5/a^4 - a^(-2) - 
   4*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + (17*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (29*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55326] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (16*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (31*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55327] -> 6/a^8 - 22/a^6 + 25/a^4 - 
   8/a^2 + (15*z^2)/a^8 - (63*z^2)/a^6 + (79*z^2)/a^4 - (26*z^2)/a^2 + 
   (14*z^4)/a^8 - (76*z^4)/a^6 + (107*z^4)/a^4 - (33*z^4)/a^2 + (6*z^6)/a^8 - 
   (47*z^6)/a^6 + (81*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (36*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55328] -> -2 - 2/a^8 + 2/a^6 + 5/a^4 - 
   5/a^2 + 3*a^2 - 6*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 + (8*z^2)/a^4 - 
   (15*z^2)/a^2 + 6*a^2*z^2 - 7*z^4 - z^4/a^8 + (7*z^4)/a^6 + (2*z^4)/a^4 - 
   (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - (2*z^6)/a^4 - 
   (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 55329] -> 8/a^8 - 29/a^6 + 33/a^4 - 11/a^2 + 
   (20*z^2)/a^8 - (84*z^2)/a^6 + (105*z^2)/a^4 - (35*z^2)/a^2 + 
   (18*z^4)/a^8 - (99*z^4)/a^6 + (140*z^4)/a^4 - (43*z^4)/a^2 + (7*z^6)/a^8 - 
   (58*z^6)/a^6 + (102*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + 
   (43*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55330] -> -3 + 4/a^8 - 13/a^6 + 10/a^4 + 
   3/a^2 - 9*z^2 + (8*z^2)/a^8 - (30*z^2)/a^6 + (24*z^2)/a^4 + (12*z^2)/a^2 - 
   10*z^4 + (5*z^4)/a^8 - (28*z^4)/a^6 + (25*z^4)/a^4 + (19*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (16*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55331] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (16*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (31*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55332] -> 3 - 8/a^6 + 22/a^4 - 18/a^2 + 
   2*a^2 + z^2 - (12*z^2)/a^6 + (53*z^2)/a^4 - (51*z^2)/a^2 + 9*a^2*z^2 - 
   8*z^4 - (6*z^4)/a^6 + (49*z^4)/a^4 - (65*z^4)/a^2 + 12*a^2*z^4 - 12*z^6 - 
   z^6/a^6 + (20*z^6)/a^4 - (44*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (15*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 55333] -> -4/a^8 + 8/a^6 - a^(-4) - 4/a^2 + 2*a^2 - 
   (4*z^2)/a^8 + (18*z^2)/a^6 - (4*z^2)/a^4 - (16*z^2)/a^2 + 5*a^2*z^2 - 
   2*z^4 - z^4/a^8 + (13*z^4)/a^6 - (10*z^4)/a^4 - (23*z^4)/a^2 + 4*a^2*z^4 - 
   3*z^6 + (3*z^6)/a^6 - (8*z^6)/a^4 - (14*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 55334] -> 
  14 - 2/a^4 - 2/a^2 - 12*a^2 + 3*a^4 + 30*z^2 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   31*a^2*z^2 + 9*a^4*z^2 + 22*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 - 
   32*a^2*z^4 + 10*a^4*z^4 + 3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 18*a^2*z^6 + 
   5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55335] -> -5 - 2/a^8 + 4/a^6 - 2/a^4 + 3/a^2 + 3*a^2 - 
   15*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 
   6*a^2*z^2 - 17*z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55336] -> -3 - 2/a^8 + 3/a^6 + a^(-2) + 2*a^2 - 
   9*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 12*z^4 - z^4/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55337] -> 6/a^8 - 22/a^6 + 25/a^4 - 8/a^2 + 
   (15*z^2)/a^8 - (63*z^2)/a^6 + (79*z^2)/a^4 - (26*z^2)/a^2 + (14*z^4)/a^8 - 
   (76*z^4)/a^6 + (107*z^4)/a^4 - (33*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + 
   (81*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55338] -> -2/a^10 + 3/a^8 + 2/a^4 - 4/a^2 + 2*a^2 - 
   z^2/a^10 + (7*z^2)/a^8 - z^2/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 2*z^4 + 
   (3*z^4)/a^8 - (4*z^4)/a^6 - (7*z^4)/a^4 - (10*z^4)/a^2 + a^2*z^4 - z^6 - 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (3*z^6)/a^2, Knot[15, Alternating, 55339] -> 
  8/a^8 - 29/a^6 + 33/a^4 - 11/a^2 + (20*z^2)/a^8 - (84*z^2)/a^6 + 
   (105*z^2)/a^4 - (35*z^2)/a^2 + (18*z^4)/a^8 - (99*z^4)/a^6 + 
   (140*z^4)/a^4 - (43*z^4)/a^2 + (7*z^6)/a^8 - (58*z^6)/a^6 + 
   (102*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55340] -> -3 + 4/a^8 - 13/a^6 + 10/a^4 + 3/a^2 - 
   9*z^2 + (8*z^2)/a^8 - (30*z^2)/a^6 + (24*z^2)/a^4 + (12*z^2)/a^2 - 
   10*z^4 + (5*z^4)/a^8 - (28*z^4)/a^6 + (25*z^4)/a^4 + (19*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (12*z^6)/a^6 + (16*z^6)/a^4 + (15*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55341] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (8*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55342] -> -2 - 3/a^4 + 6/a^2 + z^2/a^8 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 55343] -> 
  -1 + 4*a^2 - 2*a^4 - 5*z^2 + 16*a^2*z^2 - 9*a^4*z^2 - 4*a^6*z^2 + 
   4*a^8*z^2 - 8*z^4 + 21*a^2*z^4 - 8*a^4*z^4 - 12*a^6*z^4 + 4*a^8*z^4 - 
   5*z^6 + 15*a^2*z^6 + 2*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55344] -> -1 + 5*a^2 - 4*a^4 + a^6 - z^2/a^2 + 
   9*a^2*z^2 - 9*a^4*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 
   7*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 
   2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 55345] -> 
  -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 8*a^2*z^2 + 34*a^4*z^2 - 37*a^6*z^2 + 
   13*a^8*z^2 - 18*a^2*z^4 + 61*a^4*z^4 - 63*a^6*z^4 + 16*a^8*z^4 - 
   17*a^2*z^6 + 59*a^4*z^6 - 47*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   32*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 55346] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 
   4*a^2*z^2 + 9*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 8*a^2*z^4 + 
   9*a^4*z^4 - 21*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 55347] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 5*a^2*z^2 + 4*a^4*z^2 - 12*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55348] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 55349] -> 1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 55350] -> -3/a^14 + 9/a^12 - 5/a^10 - 8/a^8 + 8/a^6 - 
   (7*z^2)/a^14 + (29*z^2)/a^12 - (24*z^2)/a^10 - (16*z^2)/a^8 + 
   (20*z^2)/a^6 - (5*z^4)/a^14 + (34*z^4)/a^12 - (39*z^4)/a^10 - 
   (18*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (32*z^6)/a^10 - 
   (14*z^6)/a^8 + (7*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55351] -> 
  -4/a^14 + 16/a^12 - 22/a^10 + 9/a^8 + 2/a^6 - (7*z^2)/a^14 + 
   (35*z^2)/a^12 - (52*z^2)/a^10 + (21*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^4)/a^14 + (35*z^4)/a^12 - (55*z^4)/a^10 + (14*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (35*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55352] -> 
  6/a^8 - 22/a^6 + 25/a^4 - 8/a^2 + (15*z^2)/a^8 - (63*z^2)/a^6 + 
   (79*z^2)/a^4 - (26*z^2)/a^2 + (14*z^4)/a^8 - (76*z^4)/a^6 + 
   (107*z^4)/a^4 - (33*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + (81*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55353] -> -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (16*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (31*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55354] -> 3 - 3/a^6 + 8/a^4 - 7/a^2 + 
   16*z^2 - (9*z^2)/a^6 + (37*z^2)/a^4 - (43*z^2)/a^2 + 27*z^4 - 
   (10*z^4)/a^6 + (56*z^4)/a^4 - (80*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + 
   (40*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55355] -> -5 - 2/a^8 + 4/a^6 - 2/a^4 + 3/a^2 + 3*a^2 - 
   15*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 
   6*a^2*z^2 - 17*z^4 - z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + 
   (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (13*z^6)/a^4 + 
   (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55356] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (4*z^2)/a^12 - (18*z^2)/a^10 + (16*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (23*z^4)/a^10 + (28*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55357] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + 
   (9*z^2)/a^8 - (36*z^2)/a^6 + (45*z^2)/a^4 - (15*z^2)/a^2 + (10*z^4)/a^8 - 
   (56*z^4)/a^6 + (80*z^4)/a^4 - (27*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + 
   (72*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55358] -> 3 - 3/a^6 + 8/a^4 - 7/a^2 + 16*z^2 - 
   (9*z^2)/a^6 + (37*z^2)/a^4 - (43*z^2)/a^2 + 27*z^4 - (10*z^4)/a^6 + 
   (56*z^4)/a^4 - (80*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - 
   (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55359] -> 
  -4/a^14 + 16/a^12 - 22/a^10 + 9/a^8 + 2/a^6 - (7*z^2)/a^14 + 
   (35*z^2)/a^12 - (52*z^2)/a^10 + (21*z^2)/a^8 + (7*z^2)/a^6 - 
   (5*z^4)/a^14 + (35*z^4)/a^12 - (55*z^4)/a^10 + (14*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (35*z^6)/a^10 - z^6/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55360] -> 
  -2/a^10 + 5/a^8 - 4/a^6 + 2/a^2 - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (16*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (31*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55361] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (4*z^2)/a^12 - (18*z^2)/a^10 + (16*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + 
   (4*z^4)/a^12 - (23*z^4)/a^10 + (28*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55362] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 + (4*z^2)/a^12 - (18*z^2)/a^10 + (16*z^2)/a^8 + (6*z^2)/a^6 - 
   (2*z^2)/a^4 + (4*z^4)/a^12 - (23*z^4)/a^10 + (28*z^4)/a^8 + (7*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (24*z^6)/a^8 + (6*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55363] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (4*z^2)/a^12 - (18*z^2)/a^10 + 
   (16*z^2)/a^8 + (6*z^2)/a^6 - (2*z^2)/a^4 + (4*z^4)/a^12 - (23*z^4)/a^10 + 
   (28*z^4)/a^8 + (7*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + 
   (24*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55364] -> -3/a^6 + 5/a^4 - a^(-2) - 4*z^2 + 
   (4*z^2)/a^8 - (15*z^2)/a^6 + (17*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (29*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55365] -> 3/a^10 - 12/a^8 + 13/a^6 - 3/a^4 - 
   (12*z^2)/a^8 + (25*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + 
   (7*z^4)/a^8 + (9*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (11*z^6)/a^8 - (10*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55366] -> 33 - 12/a^2 - 28*a^2 + 8*a^4 + 96*z^2 - 
   (28*z^2)/a^2 - 92*a^2*z^2 + 28*a^4*z^2 + 112*z^4 - (23*z^4)/a^2 - 
   127*a^2*z^4 + 38*a^4*z^4 + 64*z^6 - (8*z^6)/a^2 - 96*a^2*z^6 + 
   25*a^4*z^6 + 18*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 55367] -> 
  10 - 4/a^4 + 4/a^2 - 14*a^2 + 5*a^4 + 16*z^2 - (8*z^2)/a^4 + (17*z^2)/a^2 - 
   36*a^2*z^2 + 14*a^4*z^2 + 4*z^4 - (5*z^4)/a^4 + (22*z^4)/a^2 - 
   38*a^2*z^4 + 14*a^4*z^4 - 7*z^6 - z^6/a^4 + (11*z^6)/a^2 - 22*a^2*z^6 + 
   6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55368] -> 18 - 2/a^4 - 3/a^2 - 17*a^2 + 5*a^4 + 
   34*z^2 - (5*z^2)/a^4 + (2*z^2)/a^2 - 39*a^2*z^2 + 12*a^4*z^2 + 23*z^4 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - 37*a^2*z^4 + 11*a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 19*a^2*z^6 + 5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55369] -> 
  6/a^8 - 22/a^6 + 25/a^4 - 8/a^2 + (15*z^2)/a^8 - (63*z^2)/a^6 + 
   (79*z^2)/a^4 - (26*z^2)/a^2 + (14*z^4)/a^8 - (76*z^4)/a^6 + 
   (107*z^4)/a^4 - (33*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + (81*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55370] -> 18 - 2/a^4 - 3/a^2 - 17*a^2 + 5*a^4 + 
   34*z^2 - (5*z^2)/a^4 + (2*z^2)/a^2 - 39*a^2*z^2 + 12*a^4*z^2 + 23*z^4 - 
   (4*z^4)/a^4 + (10*z^4)/a^2 - 37*a^2*z^4 + 11*a^4*z^4 + 3*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 19*a^2*z^6 + 5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55371] -> 
  -5 - 2/a^8 + 4/a^6 - 2/a^4 + 3/a^2 + 3*a^2 - 15*z^2 - (3*z^2)/a^8 + 
   (13*z^2)/a^6 - (13*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - 
   z^4/a^8 + (11*z^4)/a^6 - (21*z^4)/a^4 + (16*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55372] -> 
  33 - 12/a^2 - 28*a^2 + 8*a^4 + 96*z^2 - (28*z^2)/a^2 - 92*a^2*z^2 + 
   28*a^4*z^2 + 112*z^4 - (23*z^4)/a^2 - 127*a^2*z^4 + 38*a^4*z^4 + 64*z^6 - 
   (8*z^6)/a^2 - 96*a^2*z^6 + 25*a^4*z^6 + 18*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55373] -> 10 - 4/a^4 + 4/a^2 - 14*a^2 + 5*a^4 + 
   16*z^2 - (8*z^2)/a^4 + (17*z^2)/a^2 - 36*a^2*z^2 + 14*a^4*z^2 + 4*z^4 - 
   (5*z^4)/a^4 + (22*z^4)/a^2 - 38*a^2*z^4 + 14*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55374] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (5*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55375] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 + 13*z^2 - 
   45*a^2*z^2 + 53*a^4*z^2 - 17*a^6*z^2 + 22*z^4 - 74*a^2*z^4 + 73*a^4*z^4 - 
   17*a^6*z^4 + 18*z^6 - 65*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 55376] -> -1 + a^(-2) - 3*a^2 + 8*a^4 - 
   4*a^6 - 7*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 22*a^4*z^2 - 8*a^6*z^2 - 
   11*z^4 + (6*z^4)/a^2 - 11*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55377] -> 
  -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 19*z^2 + (7*z^2)/a^2 + 10*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 - 24*z^4 + (9*z^4)/a^2 + 6*a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55378] -> 2 + a^(-4) - 2/a^2 - 2*a^2 + 4*a^4 - 2*a^6 + 
   3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 
   z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 55379] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 
   47*z^2 + (11*z^2)/a^4 - (40*z^2)/a^2 - 16*a^2*z^2 + 71*z^4 + 
   (21*z^4)/a^4 - (70*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + (18*z^6)/a^4 - 
   (64*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55380] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 18*z^2 + 
   (7*z^2)/a^4 - (22*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + 
   (9*z^4)/a^4 - (25*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55381] -> 
  5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 15*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 - 
   7*a^2*z^2 + 20*z^4 + (8*z^4)/a^6 - (18*z^4)/a^4 - (2*z^4)/a^2 - 
   5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - (14*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55382] -> 3 + a^(-6) - 2/a^4 - a^2 + 8*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 55383] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 7*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + (17*z^2)/a^2 - 5*z^4 + 
   (5*z^4)/a^8 - (8*z^4)/a^6 - (8*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55384] -> -2 - 3/a^4 + 6/a^2 + z^2/a^8 - (7*z^2)/a^4 + 
   (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - z^4/a^6 - (8*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 55385] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + (8*z^2)/a^8 - (31*z^2)/a^6 + 
   (40*z^2)/a^4 - (13*z^2)/a^2 + (18*z^4)/a^8 - (60*z^4)/a^6 + (64*z^4)/a^4 - 
   (16*z^4)/a^2 + (17*z^6)/a^8 - (59*z^6)/a^6 + (47*z^6)/a^4 - (7*z^6)/a^2 + 
   (7*z^8)/a^8 - (32*z^8)/a^6 + (16*z^8)/a^4 - z^8/a^2 + z^10/a^8 - 
   (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 55386] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (14*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - (21*z^4)/a^6 + 
   (9*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55387] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (15*z^4)/a^6 + (3*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55388] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55389] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 55390] -> 
  -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 8*a^2*z^2 + 34*a^4*z^2 - 37*a^6*z^2 + 
   13*a^8*z^2 - 18*a^2*z^4 + 61*a^4*z^4 - 63*a^6*z^4 + 16*a^8*z^4 - 
   17*a^2*z^6 + 59*a^4*z^6 - 47*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   32*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 55391] -> 5*a^4 - 6*a^6 + 2*a^8 - 2*z^2 + 
   4*a^2*z^2 + 9*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 8*a^2*z^4 + 
   9*a^4*z^4 - 21*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 9*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 55392] -> 
  a^2 + 3*a^4 - 5*a^6 + 2*a^8 - 2*z^2 + 5*a^2*z^2 + 4*a^4*z^2 - 12*a^6*z^2 + 
   5*a^8*z^2 - 5*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 10*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55393] -> a^2 + 3*a^4 - 5*a^6 + 2*a^8 + 2*z^2 - 
   z^2/a^2 + a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   (2*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 5*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 55394] -> 1 - a^2 + 4*a^4 - 5*a^6 + 2*a^8 + 3*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 7*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - 
   (2*z^4)/a^2 - 3*a^2*z^4 + 5*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 55395] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 40*z^2 - 
   (11*z^2)/a^2 - 47*a^2*z^2 + 16*a^4*z^2 + 70*z^4 - (21*z^4)/a^2 - 
   71*a^2*z^4 + 17*a^4*z^4 + 64*z^6 - (18*z^6)/a^2 - 49*a^2*z^6 + 7*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 55396] -> 
  7 - a^(-2) - 9*a^2 + 4*a^4 + 13*z^2 - (2*z^2)/a^4 + z^2/a^2 - 23*a^2*z^2 + 
   8*a^4*z^2 + 13*z^4 - (5*z^4)/a^4 + (7*z^4)/a^2 - 23*a^2*z^4 + 5*a^4*z^4 + 
   10*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55397] -> 5 - a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 
   14*z^2 - (5*z^2)/a^2 - 6*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 + 18*z^4 - 
   (8*z^4)/a^2 - 20*a^4*z^4 + 5*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 55398] -> 3 - 2*a^2 - 2*a^4 + 2*a^6 + 
   5*z^2 - z^2/a^4 - 5*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 55399] -> 6 + 3/a^4 - 8/a^2 + 2*a^2 - 2*a^4 + 10*z^2 + 
   (9*z^2)/a^4 - (23*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + 
   (10*z^4)/a^4 - (27*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55400] -> 
  6 - 3/a^6 + 11/a^4 - 13/a^2 + 17*z^2 - (13*z^2)/a^6 + (46*z^2)/a^4 - 
   (52*z^2)/a^2 + 17*z^4 - (22*z^4)/a^6 + (74*z^4)/a^4 - (73*z^4)/a^2 + 
   7*z^6 - (18*z^6)/a^6 + (65*z^6)/a^4 - (49*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (16*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55401] -> -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 
   8*z^2 - (7*z^2)/a^6 + (20*z^2)/a^4 - (13*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (9*z^4)/a^6 + (24*z^4)/a^4 - (7*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55402] -> -6 - a^(-6) + 3/a^4 + a^(-2) + 4*a^2 - 
   21*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + (5*z^2)/a^2 + 8*a^2*z^2 - 23*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (10*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55403] -> 1 - a^(-6) + 4/a^4 - 3/a^2 - 2*a^2 + 2*a^4 + 
   z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 
   3*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 55404] -> -4/a^14 + 15/a^12 - 18/a^10 + 
   4/a^8 + 4/a^6 - (8*z^2)/a^14 + (38*z^2)/a^12 - (49*z^2)/a^10 + 
   (10*z^2)/a^8 + (12*z^2)/a^6 - (5*z^4)/a^14 + (39*z^4)/a^12 - 
   (58*z^4)/a^10 + (4*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - 
   (39*z^6)/a^10 - (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 55405] -> 29 - 10/a^2 - 26*a^2 + 8*a^4 + 84*z^2 - 
   (23*z^2)/a^2 - 87*a^2*z^2 + 28*a^4*z^2 + 99*z^4 - (19*z^4)/a^2 - 
   123*a^2*z^4 + 38*a^4*z^4 + 58*z^6 - (7*z^6)/a^2 - 95*a^2*z^6 + 
   25*a^4*z^6 + 17*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 55406] -> 
  6 - 4/a^4 + 6/a^2 - 12*a^2 + 5*a^4 + 8*z^2 - (8*z^2)/a^4 + (20*z^2)/a^2 - 
   33*a^2*z^2 + 14*a^4*z^2 - z^4 - (5*z^4)/a^4 + (23*z^4)/a^2 - 37*a^2*z^4 + 
   14*a^4*z^4 - 8*z^6 - z^6/a^4 + (11*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55407] -> -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (24*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (36*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55408] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 
   11*z^2 - (8*z^2)/a^6 + (29*z^2)/a^4 - (30*z^2)/a^2 + 23*z^4 - 
   (10*z^4)/a^6 + (51*z^4)/a^4 - (67*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + 
   (39*z^6)/a^4 - (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55409] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55410] -> -2 + 4/a^8 - 16/a^6 + 17/a^4 - 2/a^2 - 
   7*z^2 + (8*z^2)/a^8 - (40*z^2)/a^6 + (49*z^2)/a^4 - (3*z^2)/a^2 - 9*z^4 + 
   (5*z^4)/a^8 - (40*z^4)/a^6 + (60*z^4)/a^4 + (3*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (18*z^6)/a^6 + (40*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (14*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55411] -> 7/a^8 - 26/a^6 + 30/a^4 - 10/a^2 + 
   (17*z^2)/a^8 - (75*z^2)/a^6 + (97*z^2)/a^4 - (33*z^2)/a^2 + (15*z^4)/a^8 - 
   (89*z^4)/a^6 + (133*z^4)/a^4 - (42*z^4)/a^2 + (6*z^6)/a^8 - (53*z^6)/a^6 + 
   (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55412] -> 2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + 
   (5*z^2)/a^12 - (22*z^2)/a^10 + (25*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (37*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55413] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   36*z^2 + (5*z^2)/a^4 - (23*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - 
   (47*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55414] -> 
  9/a^8 - 33/a^6 + 38/a^4 - 13/a^2 + (21*z^2)/a^8 - (92*z^2)/a^6 + 
   (118*z^2)/a^4 - (40*z^2)/a^2 + (18*z^4)/a^8 - (104*z^4)/a^6 + 
   (153*z^4)/a^4 - (47*z^4)/a^2 + (7*z^6)/a^8 - (59*z^6)/a^6 + 
   (108*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (44*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55415] -> a^(-8) - 4/a^6 + 4/a^4 + (6*z^2)/a^8 - 
   (20*z^2)/a^6 + (22*z^2)/a^4 - (6*z^2)/a^2 + (9*z^4)/a^8 - (39*z^4)/a^6 + 
   (46*z^4)/a^4 - (15*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + (48*z^6)/a^4 - 
   (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55416] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (12*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (30*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55417] -> 5 - 4/a^6 + 12/a^4 - 12/a^2 + 
   19*z^2 - (9*z^2)/a^6 + (41*z^2)/a^4 - (51*z^2)/a^2 + 28*z^4 - 
   (10*z^4)/a^6 + (57*z^4)/a^4 - (85*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + 
   (40*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55418] -> 4 - 4/a^6 + 11/a^4 - 10/a^2 + 18*z^2 - 
   (12*z^2)/a^6 + (46*z^2)/a^4 - (51*z^2)/a^2 + 28*z^4 - (13*z^4)/a^6 + 
   (66*z^4)/a^4 - (87*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55419] -> 
  14 - 2/a^4 - a^(-2) - 15*a^2 + 5*a^4 + 22*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   34*a^2*z^2 + 12*a^4*z^2 + 10*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 - 
   33*a^2*z^4 + 11*a^4*z^4 - 3*z^6 - z^6/a^4 + (9*z^6)/a^2 - 18*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55420] -> 4 - 2/a^8 + 3/a^6 + 3/a^4 - 7/a^2 + 10*z^2 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - (21*z^2)/a^2 + 10*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (25*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55421] -> 7/a^8 - 26/a^6 + 30/a^4 - 10/a^2 + 
   (15*z^2)/a^8 - (67*z^2)/a^6 + (87*z^2)/a^4 - (29*z^2)/a^2 + (14*z^4)/a^8 - 
   (77*z^4)/a^6 + (112*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + 
   (82*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55422] -> 22 + 3/a^4 - 15/a^2 - 9*a^2 + 70*z^2 + 
   (11*z^2)/a^4 - (50*z^2)/a^2 - 25*a^2*z^2 + 98*z^4 + (13*z^4)/a^4 - 
   (67*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55423] -> 
  3 + 2/a^6 - 8/a^4 + 7/a^2 - 3*a^2 + 14*z^2 + (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (14*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + (4*z^4)/a^6 - (20*z^4)/a^4 + 
   (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + z^6/a^6 - (10*z^6)/a^4 + 
   (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 55424] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (13*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + 
   (28*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 55425] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (9*z^2)/a^8 - (40*z^2)/a^6 + 
   (53*z^2)/a^4 - (18*z^2)/a^2 + (10*z^4)/a^8 - (57*z^4)/a^6 + (85*z^4)/a^4 - 
   (28*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + (73*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55426] -> 
  -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - (5*z^2)/a^10 + (21*z^2)/a^8 - 
   (24*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (36*z^4)/a^6 + (3*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (29*z^6)/a^6 - (4*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55427] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 11*z^2 - 
   (8*z^2)/a^6 + (29*z^2)/a^4 - (30*z^2)/a^2 + 23*z^4 - (10*z^4)/a^6 + 
   (51*z^4)/a^4 - (67*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - 
   (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55428] -> 
  -4/a^10 + 15/a^8 - 20/a^6 + 10/a^4 - (12*z^2)/a^10 + (51*z^2)/a^8 - 
   (66*z^2)/a^6 + (27*z^2)/a^4 - (13*z^4)/a^10 + (68*z^4)/a^8 - 
   (96*z^4)/a^6 + (31*z^4)/a^4 - (6*z^6)/a^10 + (45*z^6)/a^8 - (76*z^6)/a^6 + 
   (20*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55429] -> -2/a^10 + 4/a^8 + 2/a^6 - 9/a^4 + 6/a^2 - 
   (5*z^2)/a^10 + (16*z^2)/a^8 - z^2/a^6 - (24*z^2)/a^4 + (13*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (9*z^4)/a^6 - (28*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55430] -> 2/a^12 - 5/a^10 - a^(-8) + 7/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (21*z^2)/a^10 + (13*z^2)/a^8 + (17*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (31*z^4)/a^8 + (17*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55431] -> 16 + a^(-4) - 9/a^2 - 7*a^2 + 
   57*z^2 + (6*z^2)/a^4 - (35*z^2)/a^2 - 22*a^2*z^2 + 89*z^4 + (9*z^4)/a^4 - 
   (53*z^4)/a^2 - 29*a^2*z^4 + 74*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55432] -> 
  -2 - 2/a^6 + a^(-4) + 4/a^2 - 7*z^2 + (4*z^2)/a^8 - (15*z^2)/a^6 + 
   (13*z^2)/a^4 + (10*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (25*z^4)/a^6 + 
   (28*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (27*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 55433] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (9*z^2)/a^8 - (40*z^2)/a^6 + 
   (53*z^2)/a^4 - (18*z^2)/a^2 + (10*z^4)/a^8 - (57*z^4)/a^6 + (85*z^4)/a^4 - 
   (28*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + (73*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55434] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + (5*z^2)/a^12 - (22*z^2)/a^10 + 
   (25*z^2)/a^8 - (4*z^2)/a^6 + z^2/a^4 + (4*z^4)/a^12 - (27*z^4)/a^10 + 
   (37*z^4)/a^8 - z^4/a^6 - (4*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (4*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55435] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 36*z^2 + 
   (5*z^2)/a^4 - (23*z^2)/a^2 - 14*a^2*z^2 + 71*z^4 + (9*z^4)/a^4 - 
   (47*z^4)/a^2 - 24*a^2*z^4 + 67*z^6 + (5*z^6)/a^4 - (38*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55436] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 15*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 - 
   7*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 
   5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55437] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 7*z^2 - 
   (6*z^2)/a^6 + (21*z^2)/a^4 - (20*z^2)/a^2 + 15*z^4 - (9*z^4)/a^6 + 
   (39*z^4)/a^4 - (46*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - 
   (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55438] -> 
  5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + (14*z^2)/a^8 - (55*z^2)/a^6 + 
   (66*z^2)/a^4 - (21*z^2)/a^2 + (14*z^4)/a^8 - (71*z^4)/a^6 + (94*z^4)/a^4 - 
   (29*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55439] -> 
  -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 9*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 - 
   (2*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (18*z^4)/a^6 + 
   (5*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55440] -> 
  -4/a^10 + 11/a^8 - 8/a^6 - 2/a^4 + 4/a^2 - (8*z^2)/a^10 + (35*z^2)/a^8 - 
   (30*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (39*z^4)/a^8 - 
   (49*z^4)/a^6 - (16*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (38*z^6)/a^6 - (14*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55441] -> 8 - 6/a^6 + 19/a^4 - 20/a^2 + 30*z^2 - 
   (15*z^2)/a^6 + (66*z^2)/a^4 - (82*z^2)/a^2 + 41*z^4 - (14*z^4)/a^6 + 
   (84*z^4)/a^4 - (126*z^4)/a^2 + 26*z^6 - (6*z^6)/a^6 + (52*z^6)/a^4 - 
   (99*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (43*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55442] -> 
  -2/a^10 + 8/a^8 - 12/a^6 + 7/a^4 - (10*z^2)/a^10 + (41*z^2)/a^8 - 
   (53*z^2)/a^6 + (23*z^2)/a^4 - (12*z^4)/a^10 + (63*z^4)/a^8 - 
   (89*z^4)/a^6 + (30*z^4)/a^4 - (6*z^6)/a^10 + (44*z^6)/a^8 - (75*z^6)/a^6 + 
   (20*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55443] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 15*z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 - 7*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + 
   (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 55444] -> 
  -2/a^12 + 3/a^10 + 3/a^8 - 5/a^6 - 2/a^4 + 4/a^2 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 + (5*z^2)/a^8 - (19*z^2)/a^6 - (3*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^12 + (11*z^4)/a^10 - (4*z^4)/a^8 - (26*z^4)/a^6 - (5*z^4)/a^4 + 
   (5*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (15*z^6)/a^6 - (4*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 55445] -> -6/a^6 + 17/a^4 - 13/a^2 + 3*a^2 - 11*z^2 - 
   (9*z^2)/a^6 + (38*z^2)/a^4 - (31*z^2)/a^2 + 11*a^2*z^2 - 23*z^4 - 
   (5*z^4)/a^6 + (33*z^4)/a^4 - (34*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (13*z^6)/a^4 - (21*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55446] -> 
  -2/a^10 + 6/a^8 - 5/a^6 - a^(-4) + 3/a^2 - (5*z^2)/a^10 + (18*z^2)/a^8 - 
   (11*z^2)/a^6 - (11*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (14*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55447] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + 
   (12*z^2)/a^8 - (45*z^2)/a^6 + (53*z^2)/a^4 - (17*z^2)/a^2 + (13*z^4)/a^8 - 
   (66*z^4)/a^6 + (87*z^4)/a^4 - (28*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55448] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 7*z^2 - 
   (6*z^2)/a^6 + (21*z^2)/a^4 - (20*z^2)/a^2 + 15*z^4 - (9*z^4)/a^6 + 
   (39*z^4)/a^4 - (46*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - 
   (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55449] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 5*z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + (8*z^2)/a^4 + 
   (8*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + (10*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 55450] -> 5/a^8 - 19/a^6 + 22/a^4 - 
   7/a^2 + (13*z^2)/a^8 - (57*z^2)/a^6 + (74*z^2)/a^4 - (25*z^2)/a^2 + 
   (13*z^4)/a^8 - (72*z^4)/a^6 + (105*z^4)/a^4 - (33*z^4)/a^2 + (6*z^6)/a^8 - 
   (46*z^6)/a^6 + (81*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (36*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55451] -> -2/a^10 + 8/a^8 - 12/a^6 + 
   7/a^4 - (10*z^2)/a^10 + (41*z^2)/a^8 - (53*z^2)/a^6 + (23*z^2)/a^4 - 
   (12*z^4)/a^10 + (63*z^4)/a^8 - (89*z^4)/a^6 + (30*z^4)/a^4 - 
   (6*z^6)/a^10 + (44*z^6)/a^8 - (75*z^6)/a^6 + (20*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55452] -> 
  4 - 4/a^6 + 11/a^4 - 10/a^2 + 18*z^2 - (12*z^2)/a^6 + (46*z^2)/a^4 - 
   (51*z^2)/a^2 + 28*z^4 - (13*z^4)/a^6 + (66*z^4)/a^4 - (87*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55453] -> -2/a^10 + 6/a^8 - 5/a^6 - 
   a^(-4) + 3/a^2 - (5*z^2)/a^10 + (18*z^2)/a^8 - (11*z^2)/a^6 - 
   (11*z^2)/a^4 + (9*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - (14*z^4)/a^6 - 
   (21*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - 
   (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55454] -> 
  -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - (5*z^2)/a^10 + (20*z^2)/a^8 - 
   (12*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (27*z^4)/a^8 - 
   (30*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55455] -> 5 - 4/a^6 + 12/a^4 - 12/a^2 + 19*z^2 - 
   (9*z^2)/a^6 + (41*z^2)/a^4 - (51*z^2)/a^2 + 28*z^4 - (10*z^4)/a^6 + 
   (57*z^4)/a^4 - (85*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55456] -> 
  -4/a^10 + 15/a^8 - 20/a^6 + 10/a^4 - (12*z^2)/a^10 + (51*z^2)/a^8 - 
   (66*z^2)/a^6 + (27*z^2)/a^4 - (13*z^4)/a^10 + (68*z^4)/a^8 - 
   (96*z^4)/a^6 + (31*z^4)/a^4 - (6*z^6)/a^10 + (45*z^6)/a^8 - (76*z^6)/a^6 + 
   (20*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55457] -> -2/a^10 + 4/a^8 + 2/a^6 - 9/a^4 + 6/a^2 - 
   (5*z^2)/a^10 + (16*z^2)/a^8 - z^2/a^6 - (24*z^2)/a^4 + (13*z^2)/a^2 - 
   (4*z^4)/a^10 + (19*z^4)/a^8 - (9*z^4)/a^6 - (28*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55458] -> 5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + 
   (14*z^2)/a^8 - (55*z^2)/a^6 + (66*z^2)/a^4 - (21*z^2)/a^2 + (14*z^4)/a^8 - 
   (71*z^4)/a^6 + (94*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55459] -> -3 + a^(-8) - 2/a^6 - 3/a^4 + 8/a^2 - 
   9*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 - (2*z^2)/a^4 + (21*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (18*z^4)/a^6 + (5*z^4)/a^4 + (24*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (9*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55460] -> 4 - 2/a^8 + 3/a^6 + 3/a^4 - 7/a^2 + 10*z^2 - 
   (5*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - (21*z^2)/a^2 + 10*z^4 - 
   (4*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (25*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55461] -> -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 - 
   (2*z^2)/a^10 + (5*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (11*z^4)/a^8 - (3*z^4)/a^6 - (17*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55462] -> 22 + 3/a^4 - 15/a^2 - 9*a^2 + 70*z^2 + 
   (11*z^2)/a^4 - (50*z^2)/a^2 - 25*a^2*z^2 + 98*z^4 + (13*z^4)/a^4 - 
   (67*z^4)/a^2 - 30*a^2*z^4 + 76*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55463] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (6*z^2)/a^8 - (20*z^2)/a^6 + (22*z^2)/a^4 - 
   (6*z^2)/a^2 + (9*z^4)/a^8 - (39*z^4)/a^6 + (46*z^4)/a^4 - (15*z^4)/a^2 + 
   (5*z^6)/a^8 - (33*z^6)/a^6 + (48*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55464] -> 
  7 - 2/a^4 + a^(-2) - 7*a^2 + 2*a^4 + 12*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 - 
   21*a^2*z^2 + 8*a^4*z^2 + 5*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 - 26*a^2*z^4 + 
   10*a^4*z^4 - 4*z^6 - z^6/a^4 + (9*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55465] -> -3 - 2/a^8 + 3/a^6 + a^(-2) + 2*a^2 - 
   9*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + 
   5*a^2*z^2 - 12*z^4 - z^4/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 + 
   4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55466] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + 
   (12*z^2)/a^8 - (45*z^2)/a^6 + (53*z^2)/a^4 - (17*z^2)/a^2 + (13*z^4)/a^8 - 
   (66*z^4)/a^6 + (87*z^4)/a^4 - (28*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55467] -> a^(-8) - 4/a^6 + 4/a^4 - 5*z^2 + 
   (5*z^2)/a^8 - (14*z^2)/a^6 + (8*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (19*z^4)/a^6 + (10*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (10*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55468] -> 3 + 2/a^6 - 8/a^4 + 7/a^2 - 3*a^2 + 14*z^2 + 
   (5*z^2)/a^6 - (19*z^2)/a^4 + (14*z^2)/a^2 - 9*a^2*z^2 + 22*z^4 + 
   (4*z^4)/a^6 - (20*z^4)/a^4 + (15*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (10*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55469] -> 
  14 - 2/a^4 - 2/a^2 - 12*a^2 + 3*a^4 + 30*z^2 - (5*z^2)/a^4 + (2*z^2)/a^2 - 
   31*a^2*z^2 + 9*a^4*z^2 + 22*z^4 - (4*z^4)/a^4 + (10*z^4)/a^2 - 
   32*a^2*z^4 + 10*a^4*z^4 + 3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 18*a^2*z^6 + 
   5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55470] -> 5/a^8 - 19/a^6 + 22/a^4 - 7/a^2 + 
   (13*z^2)/a^8 - (57*z^2)/a^6 + (74*z^2)/a^4 - (25*z^2)/a^2 + (13*z^4)/a^8 - 
   (72*z^4)/a^6 + (105*z^4)/a^4 - (33*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + 
   (81*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55471] -> 14 - 2/a^4 - a^(-2) - 15*a^2 + 5*a^4 + 
   22*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 34*a^2*z^2 + 12*a^4*z^2 + 10*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - 33*a^2*z^4 + 11*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 18*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55472] -> 
  -3 - 2/a^8 + 3/a^6 + a^(-2) + 2*a^2 - 9*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (7*z^2)/a^4 + (3*z^2)/a^2 + 5*a^2*z^2 - 12*z^4 - z^4/a^8 + (11*z^4)/a^6 - 
   (16*z^4)/a^4 + (5*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 55473] -> 7 - 2/a^4 + a^(-2) - 7*a^2 + 
   2*a^4 + 12*z^2 - (5*z^2)/a^4 + (9*z^2)/a^2 - 21*a^2*z^2 + 8*a^4*z^2 + 
   5*z^4 - (4*z^4)/a^4 + (15*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 4*z^6 - 
   z^6/a^4 + (9*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55474] -> 
  7/a^8 - 26/a^6 + 30/a^4 - 10/a^2 + (15*z^2)/a^8 - (67*z^2)/a^6 + 
   (87*z^2)/a^4 - (29*z^2)/a^2 + (14*z^4)/a^8 - (77*z^4)/a^6 + 
   (112*z^4)/a^4 - (34*z^4)/a^2 + (6*z^6)/a^8 - (47*z^6)/a^6 + (82*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (36*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55475] -> 6 - 4/a^4 + 6/a^2 - 12*a^2 + 5*a^4 + 8*z^2 - 
   (8*z^2)/a^4 + (20*z^2)/a^2 - 33*a^2*z^2 + 14*a^4*z^2 - z^4 - (5*z^4)/a^4 + 
   (23*z^4)/a^2 - 37*a^2*z^4 + 14*a^4*z^4 - 8*z^6 - z^6/a^4 + (11*z^6)/a^2 - 
   22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 55476] -> 
  9/a^8 - 33/a^6 + 38/a^4 - 13/a^2 + (21*z^2)/a^8 - (92*z^2)/a^6 + 
   (118*z^2)/a^4 - (40*z^2)/a^2 + (18*z^4)/a^8 - (104*z^4)/a^6 + 
   (153*z^4)/a^4 - (47*z^4)/a^2 + (7*z^6)/a^8 - (59*z^6)/a^6 + 
   (108*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (44*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55477] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (11*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (14*z^4)/a^8 - (8*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55478] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 55479] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + (8*z^2)/a^8 - (31*z^2)/a^6 + 
   (40*z^2)/a^4 - (13*z^2)/a^2 + (18*z^4)/a^8 - (60*z^4)/a^6 + (64*z^4)/a^4 - 
   (16*z^4)/a^2 + (17*z^6)/a^8 - (59*z^6)/a^6 + (47*z^6)/a^4 - (7*z^6)/a^2 + 
   (7*z^8)/a^8 - (32*z^8)/a^6 + (16*z^8)/a^4 - z^8/a^2 + z^10/a^8 - 
   (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 55480] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + (5*z^2)/a^8 - (16*z^2)/a^6 + 
   (14*z^2)/a^4 + (4*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - (21*z^4)/a^6 + 
   (9*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - 
   (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55481] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + 
   (6*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (15*z^4)/a^6 + (3*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55482] -> 
  a^(-8) - 4/a^6 + 4/a^4 + z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + (4*z^2)/a^4 + 
   (4*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - (6*z^4)/a^6 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - 
   (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55483] -> 1 + a^(-8) - 4/a^6 + 5/a^4 - 2/a^2 + 3*z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (8*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (3*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 - z^4/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (4*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 - z^8/a^6 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 55484] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (7*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (22*z^4)/a^8 - 
   (22*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55485] -> 6/a^8 - 23/a^6 + 27/a^4 - 9/a^2 + 
   (15*z^2)/a^8 - (69*z^2)/a^6 + (92*z^2)/a^4 - (32*z^2)/a^2 + (14*z^4)/a^8 - 
   (85*z^4)/a^6 + (131*z^4)/a^4 - (42*z^4)/a^2 + (6*z^6)/a^8 - (52*z^6)/a^6 + 
   (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55486] -> -2 + 3/a^8 - 11/a^6 + 10/a^4 + a^(-2) - 
   8*z^2 + (6*z^2)/a^8 - (26*z^2)/a^6 + (25*z^2)/a^4 + (8*z^2)/a^2 - 10*z^4 + 
   (4*z^4)/a^8 - (25*z^4)/a^6 + (27*z^4)/a^4 + (17*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (17*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55487] -> -2/a^18 + 10/a^16 - 13/a^14 - a^(-12) + 
   7/a^10 - z^2/a^18 + (16*z^2)/a^16 - (39*z^2)/a^14 + (7*z^2)/a^12 + 
   (27*z^2)/a^10 + (5*z^4)/a^16 - (35*z^4)/a^14 + (23*z^4)/a^12 + 
   (37*z^4)/a^10 + (2*z^4)/a^8 - (9*z^6)/a^14 + (20*z^6)/a^12 + 
   (23*z^6)/a^10 + (3*z^6)/a^8 + (5*z^8)/a^12 + (5*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 55488] -> -3/a^14 + 12/a^12 - 17/a^10 + 7/a^8 + 
   2/a^6 - (7*z^2)/a^14 + (31*z^2)/a^12 - (44*z^2)/a^10 + (18*z^2)/a^8 + 
   (7*z^2)/a^6 - (5*z^4)/a^14 + (34*z^4)/a^12 - (50*z^4)/a^10 + 
   (13*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (34*z^6)/a^10 - 
   z^6/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (4*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55489] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - (4*z^2)/a^10 + (13*z^2)/a^8 - 
   (7*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - (4*z^4)/a^10 + (22*z^4)/a^8 - 
   (22*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (23*z^6)/a^6 - (6*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55490] -> 2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + 
   (4*z^2)/a^12 - (19*z^2)/a^10 + (24*z^2)/a^8 - (7*z^2)/a^6 + (3*z^2)/a^4 + 
   (4*z^4)/a^12 - (23*z^4)/a^10 + (33*z^4)/a^8 - (6*z^4)/a^6 - z^4/a^4 + 
   z^6/a^12 - (14*z^6)/a^10 + (25*z^6)/a^8 - (3*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (3*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55491] -> 26 - 9/a^2 - 23*a^2 + 7*a^4 + 78*z^2 - 
   (21*z^2)/a^2 - 82*a^2*z^2 + 27*a^4*z^2 + 95*z^4 - (18*z^4)/a^2 - 
   121*a^2*z^4 + 38*a^4*z^4 + 57*z^6 - (7*z^6)/a^2 - 95*a^2*z^6 + 
   25*a^4*z^6 + 17*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 55492] -> 
  6 - 5/a^6 + 15/a^4 - 15/a^2 + 21*z^2 - (12*z^2)/a^6 + (50*z^2)/a^4 - 
   (59*z^2)/a^2 + 29*z^4 - (13*z^4)/a^6 + (67*z^4)/a^4 - (92*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55493] -> 9 - 3/a^4 + 3/a^2 - 13*a^2 + 
   5*a^4 + 13*z^2 - (6*z^2)/a^4 + (14*z^2)/a^2 - 34*a^2*z^2 + 14*a^4*z^2 + 
   z^4 - (4*z^4)/a^4 + (19*z^4)/a^2 - 37*a^2*z^4 + 14*a^4*z^4 - 8*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 
   7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55494] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - (9*z^2)/a^10 + (33*z^2)/a^8 - 
   (40*z^2)/a^6 + (18*z^2)/a^4 - (12*z^4)/a^10 + (58*z^4)/a^8 - 
   (76*z^4)/a^6 + (26*z^4)/a^4 - (6*z^6)/a^10 + (43*z^6)/a^8 - (69*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55495] -> -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (19*z^2)/a^8 - (19*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (19*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55496] -> 4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + 
   (12*z^2)/a^8 - (49*z^2)/a^6 + (61*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - 
   (67*z^4)/a^6 + (92*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55497] -> 9 - 4/a^2 - 4*a^2 + 44*z^2 + (8*z^2)/a^4 - 
   (32*z^2)/a^2 - 16*a^2*z^2 + 78*z^4 + (12*z^4)/a^4 - (57*z^4)/a^2 - 
   25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 55498] -> 8 - a^(-6) + 3/a^4 - 6/a^2 - 3*a^2 + 
   23*z^2 + (2*z^2)/a^6 - z^2/a^4 - (12*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55499] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - (9*z^2)/a^10 + (33*z^2)/a^8 - 
   (40*z^2)/a^6 + (18*z^2)/a^4 - (12*z^4)/a^10 + (58*z^4)/a^8 - 
   (76*z^4)/a^6 + (26*z^4)/a^4 - (6*z^6)/a^10 + (43*z^6)/a^8 - (69*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55500] -> -2/a^10 + 7/a^8 - 9/a^6 + 4/a^4 + a^(-2) - 
   (5*z^2)/a^10 + (19*z^2)/a^8 - (19*z^2)/a^6 + (2*z^2)/a^4 + (4*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (19*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (12*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55501] -> 9 - 4/a^2 - 4*a^2 + 44*z^2 + (8*z^2)/a^4 - 
   (32*z^2)/a^2 - 16*a^2*z^2 + 78*z^4 + (12*z^4)/a^4 - (57*z^4)/a^2 - 
   25*a^2*z^4 + 69*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 55502] -> 8 - a^(-6) + 3/a^4 - 6/a^2 - 3*a^2 + 
   23*z^2 + (2*z^2)/a^6 - z^2/a^4 - (12*z^2)/a^2 - 9*a^2*z^2 + 27*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (5*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55503] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (7*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 55504] -> 
  -2 - 2/a^8 + 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 - z^4/a^8 + 
   (11*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - 
   (12*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 55505] -> -2/a^12 + 4/a^10 - 4/a^6 + 
   a^(-4) + 2/a^2 - (3*z^2)/a^12 + (13*z^2)/a^10 - (7*z^2)/a^8 - 
   (5*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - 
   (17*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (13*z^6)/a^8 + (4*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 55506] -> 
  8/a^8 - 30/a^6 + 35/a^4 - 12/a^2 + (18*z^2)/a^8 - (83*z^2)/a^6 + 
   (110*z^2)/a^4 - (38*z^2)/a^2 + (15*z^4)/a^8 - (94*z^4)/a^6 + 
   (146*z^4)/a^4 - (46*z^4)/a^2 + (6*z^6)/a^8 - (54*z^6)/a^6 + 
   (106*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (44*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55507] -> 6 - 5/a^6 + 15/a^4 - 15/a^2 + 21*z^2 - 
   (12*z^2)/a^6 + (50*z^2)/a^4 - (59*z^2)/a^2 + 29*z^4 - (13*z^4)/a^6 + 
   (67*z^4)/a^4 - (92*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (75*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55508] -> 
  4 - 3/a^8 + 7/a^6 - 2/a^4 - 5/a^2 + 10*z^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - 
   (6*z^2)/a^4 - (18*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - 
   (11*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55509] -> 
  4/a^8 - 15/a^6 + 17/a^4 - 5/a^2 + (12*z^2)/a^8 - (49*z^2)/a^6 + 
   (61*z^2)/a^4 - (20*z^2)/a^2 + (13*z^4)/a^8 - (67*z^4)/a^6 + (92*z^4)/a^4 - 
   (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55510] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 8*z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (9*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55511] -> 
  4 - 3/a^8 + 7/a^6 - 2/a^4 - 5/a^2 + 10*z^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - 
   (6*z^2)/a^4 - (18*z^2)/a^2 + 10*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - 
   (11*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55512] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + z^4/a^10 - 
   (9*z^4)/a^8 + (7*z^4)/a^6 + (10*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (10*z^6)/a^6 + (6*z^6)/a^2 + (3*z^8)/a^6 - (3*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 55513] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 8*z^2 + (5*z^2)/a^8 - (14*z^2)/a^6 + 
   (4*z^2)/a^4 + (16*z^2)/a^2 - 10*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (9*z^4)/a^4 + (22*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55514] -> 
  -2/a^12 + 4/a^10 - 4/a^6 + a^(-4) + 2/a^2 - (3*z^2)/a^12 + (13*z^2)/a^10 - 
   (7*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + 
   (12*z^4)/a^10 - (17*z^4)/a^8 - z^4/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 + 
   (3*z^6)/a^10 - (13*z^6)/a^8 + (4*z^6)/a^6 - (8*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 55515] -> -2 - 2/a^8 + 2/a^6 + 3/a^4 - 2/a^2 + 2*a^2 - 
   7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + 
   5*a^2*z^2 - 11*z^4 - z^4/a^8 + (11*z^4)/a^6 - (14*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55516] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 47*z^2 + 
   (11*z^2)/a^4 - (40*z^2)/a^2 - 16*a^2*z^2 + 71*z^4 + (21*z^4)/a^4 - 
   (70*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + (18*z^6)/a^4 - (64*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55517] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 18*z^2 + (7*z^2)/a^4 - (22*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + (9*z^4)/a^4 - (25*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55518] -> 5 + a^(-6) - 2/a^4 - a^(-2) - 2*a^2 + 
   15*z^2 + (5*z^2)/a^6 - (12*z^2)/a^4 - 7*a^2*z^2 + 20*z^4 + (8*z^4)/a^6 - 
   (18*z^4)/a^4 - (2*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - 
   (14*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55519] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 8*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 55520] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (21*z^4)/a^8 - (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55521] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55522] -> 
  -2/a^10 + 4/a^8 - 2/a^6 - a^(-4) + 2/a^2 - (7*z^2)/a^10 + (24*z^2)/a^8 - 
   (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^10 + (33*z^4)/a^8 - 
   (36*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (17*z^6)/a^8 - 
   (32*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55523] -> -2/a^12 + 4/a^10 - a^(-8) - 4/a^4 + 4/a^2 - 
   (3*z^2)/a^12 + (14*z^2)/a^10 - (11*z^2)/a^8 + (4*z^2)/a^6 - (12*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (21*z^4)/a^8 + (8*z^4)/a^6 - 
   (17*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (9*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 55524] -> -a^(-12) + 5/a^8 - 6/a^6 + 
   a^(-4) + 2/a^2 - (3*z^2)/a^12 + (7*z^2)/a^10 + (9*z^2)/a^8 - 
   (18*z^2)/a^6 + (2*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - 
   (23*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - 
   (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 55525] -> 2 - 2/a^12 + 4/a^10 - 2/a^8 + 
   2/a^6 - 3/a^4 + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (5*z^2)/a^8 + z^2/a^6 - 
   (5*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (3*z^4)/a^10 - (8*z^4)/a^8 - 
   (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - (3*z^6)/a^8 + z^6/a^6 + 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, Knot[15, Alternating, 55526] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (21*z^4)/a^8 - (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55527] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55528] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (21*z^4)/a^8 - (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55529] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55530] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - (4*z^2)/a^10 + (8*z^2)/a^8 + (5*z^2)/a^6 - 
   (12*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (21*z^4)/a^8 - (13*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - 
   (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55531] -> 
  a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + (4*z^2)/a^12 - (13*z^2)/a^10 + 
   (22*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (18*z^4)/a^8 + 
   (21*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (12*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55532] -> 
  -3/a^14 + 9/a^12 - 5/a^10 - 8/a^8 + 8/a^6 - (7*z^2)/a^14 + (29*z^2)/a^12 - 
   (24*z^2)/a^10 - (16*z^2)/a^8 + (20*z^2)/a^6 - (5*z^4)/a^14 + 
   (34*z^4)/a^12 - (39*z^4)/a^10 - (18*z^4)/a^8 + (18*z^4)/a^6 - z^6/a^14 + 
   (17*z^6)/a^12 - (32*z^6)/a^10 - (14*z^6)/a^8 + (7*z^6)/a^6 + 
   (3*z^8)/a^12 - (13*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 55533] -> -a^(-12) + 3/a^10 - 4/a^8 + 
   5/a^6 - 6/a^4 + 4/a^2 - z^2/a^12 + (5*z^2)/a^10 - (5*z^2)/a^8 + 
   (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^8 + (5*z^4)/a^6 - 
   (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (5*z^6)/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 55534] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (5*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55535] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (11*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (14*z^4)/a^8 - (8*z^4)/a^6 - (15*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55536] -> 2/a^6 - 5/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 + (2*z^4)/a^8 + (5*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (2*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 55537] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 5/a^6 - 6/a^4 + 4/a^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (5*z^2)/a^8 + (8*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^8 + (5*z^4)/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (5*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55538] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 + 13*z^2 - 
   45*a^2*z^2 + 53*a^4*z^2 - 17*a^6*z^2 + 22*z^4 - 74*a^2*z^4 + 73*a^4*z^4 - 
   17*a^6*z^4 + 18*z^6 - 65*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 55539] -> -1 + a^(-2) - 3*a^2 + 8*a^4 - 
   4*a^6 - 7*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 22*a^4*z^2 - 8*a^6*z^2 - 
   11*z^4 + (6*z^4)/a^2 - 11*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55540] -> 
  -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 19*z^2 + (7*z^2)/a^2 + 10*a^2*z^2 + 
   9*a^4*z^2 - 5*a^6*z^2 - 24*z^4 + (9*z^4)/a^2 + 6*a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55541] -> 2 + a^(-4) - 2/a^2 - 2*a^2 + 4*a^4 - 2*a^6 + 
   3*z^2 + (3*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 
   z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 55542] -> -4 - 3/a^6 + 5/a^4 + a^(-2) + 
   2*a^2 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - 9*z^4 - z^4/a^6 - z^4/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   2*z^6 - z^6/a^6 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, 
 Knot[15, Alternating, 55543] -> -2/a^10 + 3/a^8 - a^(-6) + a^(-2) - 
   (5*z^2)/a^10 + (16*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (4*z^4)/a^10 + (25*z^4)/a^8 - (24*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (26*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55544] -> -a^(-10) + 3/a^6 - 3/a^4 + 
   2/a^2 + z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - (3*z^4)/a^6 - 
   (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (5*z^6)/a^6 - 
   (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55545] -> 5*a^4 - 9*a^6 + 8*a^8 - 3*a^10 + 
   20*a^4*z^2 - 45*a^6*z^2 + 39*a^8*z^2 - 10*a^10*z^2 + 27*a^4*z^4 - 
   80*a^6*z^4 + 60*a^8*z^4 - 12*a^10*z^4 + 19*a^4*z^6 - 70*a^6*z^6 + 
   43*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 34*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 55546] -> a^2 + 2*a^4 - 5*a^6 + 5*a^8 - 2*a^10 + 
   6*a^2*z^2 - 3*a^4*z^2 - 13*a^6*z^2 + 18*a^8*z^2 - 5*a^10*z^2 + 7*a^2*z^4 - 
   12*a^4*z^4 - 17*a^6*z^4 + 20*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 12*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55547] -> 2 + a^2 - 7*a^4 + 8*a^6 - 4*a^8 + a^10 - 
   3*z^2 + 10*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 19*a^2*z^4 - 25*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 55548] -> -4/a^6 + 9/a^4 - 5/a^2 + a^2 - 
   5*z^2 - (6*z^2)/a^6 + (20*z^2)/a^4 - (11*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (18*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55549] -> -4 - 2/a^6 + 3/a^4 + 2/a^2 + 2*a^2 - 
   10*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + (5*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   8*z^4 - (2*z^4)/a^6 + (3*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (2*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 55550] -> 
  6*a^4 - 11*a^6 + 9*a^8 - 3*a^10 + 19*a^4*z^2 - 44*a^6*z^2 + 38*a^8*z^2 - 
   10*a^10*z^2 + 26*a^4*z^4 - 77*a^6*z^4 + 59*a^8*z^4 - 12*a^10*z^4 + 
   19*a^4*z^6 - 69*a^6*z^6 + 43*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 
   34*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 55551] -> 2*a^2 - 4*a^6 + 5*a^8 - 2*a^10 + 
   5*a^2*z^2 - 2*a^4*z^2 - 14*a^6*z^2 + 18*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 
   9*a^4*z^4 - 18*a^6*z^4 + 20*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 12*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55552] -> a^2 + 3*a^4 - 7*a^6 + 6*a^8 - 2*a^10 + 
   5*a^2*z^2 - 2*a^4*z^2 - 13*a^6*z^2 + 17*a^8*z^2 - 5*a^10*z^2 + 8*a^2*z^4 - 
   14*a^4*z^4 - 13*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 
   14*a^4*z^6 - 10*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55553] -> 3*a^2 - 3*a^4 + 2*a^8 - a^10 + z^2 + 
   4*a^2*z^2 - 10*a^4*z^2 + 3*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 
   12*a^4*z^4 + 2*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 55554] -> -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (10*z^4)/a^8 - (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55555] -> -3 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 + a^2 - 
   10*z^2 - z^2/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55556] -> 4*a^2 - 6*a^4 + 3*a^6 + a^8 - a^10 + 
   7*a^2*z^2 - 12*a^4*z^2 + 9*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 - 
   8*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 55557] -> 
  4*a^2 - 6*a^4 + 3*a^6 + a^8 - a^10 + 7*a^2*z^2 - 12*a^4*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 - 8*a^6*z^4 + 13*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55558] -> -3 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 + a^2 - 
   10*z^2 - z^2/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55559] -> 7*a^4 - 13*a^6 + 10*a^8 - 3*a^10 + 
   19*a^4*z^2 - 45*a^6*z^2 + 38*a^8*z^2 - 10*a^10*z^2 + 24*a^4*z^4 - 
   73*a^6*z^4 + 57*a^8*z^4 - 12*a^10*z^4 + 18*a^4*z^6 - 65*a^6*z^6 + 
   42*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 55560] -> 2*a^2 + a^4 - 6*a^6 + 6*a^8 - 2*a^10 + 
   5*a^2*z^2 - 3*a^4*z^2 - 13*a^6*z^2 + 17*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 
   10*a^4*z^4 - 15*a^6*z^4 + 19*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 11*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55561] -> 4*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 + 
   6*a^2*z^2 - 11*a^4*z^2 + 8*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 14*a^4*z^4 - 
   4*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 6*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 55562] -> 
  4 - 5/a^6 + 13/a^4 - 11/a^2 + 14*z^2 - (12*z^2)/a^6 + (43*z^2)/a^4 - 
   (43*z^2)/a^2 + 16*z^4 - (19*z^4)/a^6 + (66*z^4)/a^4 - (65*z^4)/a^2 + 
   7*z^6 - (17*z^6)/a^6 + (60*z^6)/a^4 - (47*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (32*z^8)/a^4 - (16*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55563] -> -3/a^6 + 7/a^4 - 4/a^2 + a^2 - 
   5*z^2 - (6*z^2)/a^6 + (19*z^2)/a^4 - (11*z^2)/a^2 + 4*a^2*z^2 - 12*z^4 - 
   (8*z^4)/a^6 + (22*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55564] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   12*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (6*z^4)/a^6 + (14*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55565] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 - (3*z^2)/a^6 + (6*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 
   8*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 
   z^6 - z^6/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 55566] -> 
  2 - 2*a^2 + 2*a^4 - 3*a^6 + 3*a^8 - a^10 + 2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 
   7*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 5*a^2*z^4 + 2*a^4*z^4 - 
   6*a^6*z^4 + 6*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - a^4*z^6 - 3*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, Knot[15, Alternating, 55567] -> 
  3 - a^(-6) + 3/a^4 - 3/a^2 - 2*a^2 + a^4 + 3*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (6*z^2)/a^2 - 5*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (3*z^4)/a^6 + 
   (8*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + 
   (4*z^6)/a^4 + z^6/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 55568] -> -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 
   10*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 
   9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 
   6*z^6 + z^6/a^2 + 10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 55569] -> 
  4*a^2 - 5*a^4 + a^6 + 2*a^8 - a^10 + z^2 + 3*a^2*z^2 - 9*a^4*z^2 + 
   2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 55570] -> 
  -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 55571] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + 
   a^6 - 20*z^2 - z^2/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 
   2*a^6*z^2 - 18*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 55572] -> 
  -5 + 2/a^2 + 8*a^2 - 7*a^4 + 4*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 
   17*a^2*z^2 - 18*a^4*z^2 + 10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 
   17*a^2*z^4 - 19*a^4*z^4 + 9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 
   10*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 55573] -> -5 + 2/a^2 + 8*a^2 - 7*a^4 + 
   4*a^6 - a^8 - 10*z^2 + (2*z^2)/a^2 + 17*a^2*z^2 - 18*a^4*z^2 + 
   10*a^6*z^2 - 2*a^8*z^2 - 9*z^4 + (2*z^4)/a^2 + 17*a^2*z^4 - 19*a^4*z^4 + 
   9*a^6*z^4 - a^8*z^4 - 6*z^6 + z^6/a^2 + 10*a^2*z^6 - 11*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 4*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 55574] -> -9 + 4/a^2 + 9*a^2 - 4*a^4 + a^6 - 20*z^2 - 
   z^2/a^4 + (7*z^2)/a^2 + 19*a^2*z^2 - 10*a^4*z^2 + 2*a^6*z^2 - 18*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 19*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 10*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 55575] -> 
  4*a^2 - 6*a^4 + 3*a^6 + a^8 - a^10 + 7*a^2*z^2 - 12*a^4*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 - 8*a^6*z^4 + 13*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55576] -> -a^(-10) - a^(-8) + 5/a^6 - 4/a^4 + 2/a^2 + 
   z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (8*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (10*z^4)/a^8 - (7*z^4)/a^6 - 
   (11*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (9*z^6)/a^6 - 
   (9*z^6)/a^4 - z^6/a^2 - (3*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55577] -> -3 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 + a^2 - 
   10*z^2 - z^2/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55578] -> -3 - 2/a^8 + 7/a^6 - 10/a^4 + 8/a^2 + a^2 - 
   10*z^2 - z^2/a^8 + (11*z^2)/a^6 - (21*z^2)/a^4 + (18*z^2)/a^2 + 
   3*a^2*z^2 - 13*z^4 + (3*z^4)/a^6 - (15*z^4)/a^4 + (16*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 - z^6/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55579] -> 6*a^4 - 11*a^6 + 9*a^8 - 3*a^10 + 
   19*a^4*z^2 - 44*a^6*z^2 + 38*a^8*z^2 - 10*a^10*z^2 + 26*a^4*z^4 - 
   77*a^6*z^4 + 59*a^8*z^4 - 12*a^10*z^4 + 19*a^4*z^6 - 69*a^6*z^6 + 
   43*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 34*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 55580] -> 2*a^2 - 4*a^6 + 5*a^8 - 2*a^10 + 5*a^2*z^2 - 
   2*a^4*z^2 - 14*a^6*z^2 + 18*a^8*z^2 - 5*a^10*z^2 + 6*a^2*z^4 - 9*a^4*z^4 - 
   18*a^6*z^4 + 20*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 
   12*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 55581] -> 
  -4 - 3/a^6 + 5/a^4 + a^(-2) + 2*a^2 - 9*z^2 - z^2/a^6 + (5*z^2)/a^4 + 
   (4*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 9*z^4 - z^4/a^6 - z^4/a^4 + 
   (8*z^4)/a^2 - 2*a^2*z^4 + a^4*z^4 - 2*z^6 - z^6/a^6 + (8*z^6)/a^2 - 
   2*a^2*z^6 + z^8 + z^8/a^4 + (3*z^8)/a^2, Knot[15, Alternating, 55582] -> 
  4*a^2 - 6*a^4 + 3*a^6 + a^8 - a^10 + 7*a^2*z^2 - 12*a^4*z^2 + 9*a^8*z^2 - 
   3*a^10*z^2 + 5*a^2*z^4 - 12*a^4*z^4 - 8*a^6*z^4 + 13*a^8*z^4 - 
   3*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55583] -> 2 + a^2 - 7*a^4 + 8*a^6 - 4*a^8 + a^10 - 
   3*z^2 + 10*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 8*a^8*z^2 + a^10*z^2 - 
   5*z^4 + 19*a^2*z^4 - 25*a^4*z^4 + 17*a^6*z^4 - 4*a^8*z^4 - 3*z^6 + 
   14*a^2*z^6 - 15*a^4*z^6 + 6*a^6*z^6 - z^8 + 5*a^2*z^8 - 4*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 55584] -> -2/a^10 + 3/a^8 - a^(-6) + 
   a^(-2) - (5*z^2)/a^10 + (16*z^2)/a^8 - (8*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 - (4*z^4)/a^10 + (25*z^4)/a^8 - (24*z^4)/a^6 - (8*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (26*z^6)/a^6 - (9*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55585] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 + z^2 - (2*z^2)/a^10 + (6*z^2)/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (4*z^2)/a^2 + 2*z^4 - z^4/a^10 + (8*z^4)/a^8 - 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (2*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (5*z^6)/a^6 - (10*z^6)/a^4 - z^6/a^2 - (2*z^8)/a^6 - (3*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 55586] -> 5*a^4 - 9*a^6 + 8*a^8 - 3*a^10 + 
   20*a^4*z^2 - 45*a^6*z^2 + 39*a^8*z^2 - 10*a^10*z^2 + 27*a^4*z^4 - 
   80*a^6*z^4 + 60*a^8*z^4 - 12*a^10*z^4 + 19*a^4*z^6 - 70*a^6*z^6 + 
   43*a^8*z^6 - 6*a^10*z^6 + 7*a^4*z^8 - 34*a^6*z^8 + 15*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 55587] -> a^2 + 2*a^4 - 5*a^6 + 5*a^8 - 2*a^10 + 
   6*a^2*z^2 - 3*a^4*z^2 - 13*a^6*z^2 + 18*a^8*z^2 - 5*a^10*z^2 + 7*a^2*z^4 - 
   12*a^4*z^4 - 17*a^6*z^4 + 20*a^8*z^4 - 4*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 12*a^6*z^6 + 10*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55588] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 4*z^2 + 
   (5*z^2)/a^2 + a^2*z^2 + 22*z^4 + (7*z^4)/a^4 - (22*z^4)/a^2 - 8*a^2*z^4 + 
   37*z^6 + (5*z^6)/a^4 - (29*z^6)/a^2 - 12*a^2*z^6 + 25*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 55589] -> -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - 
   (4*z^2)/a^6 + (3*z^2)/a^4 + z^2/a^2 + (5*z^4)/a^8 - (16*z^4)/a^6 + 
   (13*z^4)/a^4 - (4*z^4)/a^2 + (4*z^6)/a^8 - (21*z^6)/a^6 + (24*z^6)/a^4 - 
   (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - (5*z^8)/a^2 - 
   (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55590] -> 2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - 
   (3*z^2)/a^10 - z^2/a^8 + (11*z^2)/a^6 - z^2/a^4 - (8*z^4)/a^10 + 
   (26*z^4)/a^8 - (17*z^4)/a^6 + (8*z^4)/a^4 - (5*z^6)/a^10 + (30*z^6)/a^8 - 
   (36*z^6)/a^6 + (12*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (25*z^8)/a^6 + 
   (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55591] -> -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 4*z^4 - (5*z^4)/a^6 + (17*z^4)/a^4 - 
   (12*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + (21*z^6)/a^4 - (24*z^6)/a^2 + 5*z^8 - 
   z^8/a^6 + (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (7*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55592] -> 
  -a^(-6) + a^(-4) + a^(-2) + (2*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   z^2/a^2 + (5*z^4)/a^8 - (16*z^4)/a^6 + (13*z^4)/a^4 - (4*z^4)/a^2 + 
   (4*z^6)/a^8 - (21*z^6)/a^6 + (24*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - 
   (11*z^8)/a^6 + (19*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55593] -> 
  -1 - 2/a^6 + 2/a^4 + 2/a^2 - z^2 - (3*z^2)/a^6 + (7*z^2)/a^4 + z^2/a^2 + 
   4*z^4 - (5*z^4)/a^6 + (17*z^4)/a^4 - (12*z^4)/a^2 + 8*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (24*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55594] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 4*z^2 + 
   z^2/a^2 + 5*a^2*z^2 + 22*z^4 - (8*z^4)/a^2 - 22*a^2*z^4 + 7*a^4*z^4 + 
   37*z^6 - (12*z^6)/a^2 - 29*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 55595] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 6*z^2 - 
   (2*z^2)/a^4 + (6*z^2)/a^2 + 2*a^2*z^2 + a^4*z^2 - 2*z^4 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55596] -> 
  -3 - 2/a^4 + 5/a^2 + a^2 - 6*z^2 + z^2/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 
   2*a^4*z^2 - 2*z^4 + (3*z^4)/a^4 - (8*z^4)/a^2 + 11*a^2*z^4 - 5*a^4*z^4 + 
   4*z^6 + z^6/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - 4*a^4*z^6 + 4*z^8 - 
   (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 55597] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^8 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 55598] -> a^(-10) - 5/a^8 + 5/a^6 - 
   (2*z^2)/a^10 - z^2/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (8*z^6)/a^8 - (4*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55599] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - z^2/a^6 + 
   z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + (5*z^4)/a^4 + 
   (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - z^6/a^6 + (6*z^6)/a^4 - (2*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55600] -> -a^(-4) + 2/a^2 - z^2 + z^2/a^8 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (2*z^4)/a^8 - (5*z^4)/a^6 - 
   (3*z^4)/a^4 + (7*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (2*z^6)/a^4 + 
   (7*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 55601] -> -1 - a^(-6) + 3/a^2 - 4*z^2 - 
   z^2/a^6 + z^2/a^4 + (6*z^2)/a^2 + a^2*z^2 - 7*z^4 - (2*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - z^6/a^6 + (6*z^6)/a^4 - 
   (2*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 55602] -> 
  a^2 + a^4 - a^6 + a^2*z^2 + 3*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 - 4*a^2*z^4 + 
   13*a^4*z^4 - 16*a^6*z^4 + 5*a^8*z^4 - 8*a^2*z^6 + 24*a^4*z^6 - 
   21*a^6*z^6 + 4*a^8*z^6 - 5*a^2*z^8 + 19*a^4*z^8 - 11*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 55603] -> 2*a^2 - a^4 - z^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 + 2*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55604] -> -2*a^4 + 10*a^6 - 9*a^8 + 2*a^10 - a^4*z^2 + 
   11*a^6*z^2 - a^8*z^2 - 3*a^10*z^2 + 8*a^4*z^4 - 17*a^6*z^4 + 26*a^8*z^4 - 
   8*a^10*z^4 + 12*a^4*z^6 - 36*a^6*z^6 + 30*a^8*z^6 - 5*a^10*z^6 + 
   6*a^4*z^8 - 25*a^6*z^8 + 13*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 
   2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 55605] -> 
  5*a^6 - 5*a^8 + a^10 + 2*a^2*z^2 - 4*a^4*z^2 + 10*a^6*z^2 - a^8*z^2 - 
   2*a^10*z^2 + 5*a^2*z^4 - 10*a^4*z^4 + 4*a^6*z^4 + 9*a^8*z^4 - 3*a^10*z^4 + 
   4*a^2*z^6 - 10*a^4*z^6 - 4*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55606] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 + a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - 12*a^2*z^4 + 17*a^4*z^4 - 5*a^6*z^4 + 
   8*z^6 - 24*a^2*z^6 + 21*a^4*z^6 - 4*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 
   11*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55607] -> -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55608] -> a^2 + a^4 - a^6 + a^2*z^2 + 3*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 - 4*a^2*z^4 + 13*a^4*z^4 - 16*a^6*z^4 + 5*a^8*z^4 - 
   8*a^2*z^6 + 24*a^4*z^6 - 21*a^6*z^6 + 4*a^8*z^6 - 5*a^2*z^8 + 19*a^4*z^8 - 
   11*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 55609] -> 2*a^2 - a^4 - z^2 + 5*a^2*z^2 - 4*a^4*z^2 + 
   a^8*z^2 - 3*z^4 + 7*a^2*z^4 - 3*a^4*z^4 - 5*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 + 2*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55610] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - z^2 + a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 + 4*z^4 - 12*a^2*z^4 + 17*a^4*z^4 - 5*a^6*z^4 + 
   8*z^6 - 24*a^2*z^6 + 21*a^4*z^6 - 4*a^6*z^6 + 5*z^8 - 19*a^2*z^8 + 
   11*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55611] -> -1 + 3*a^2 - a^6 - 4*z^2 + z^2/a^2 + 
   6*a^2*z^2 + a^4*z^2 - a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + 3*a^2*z^4 + 
   5*a^4*z^4 - 2*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 6*a^4*z^6 - 
   a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55612] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^8 + 
   (4*z^2)/a^6 - z^2/a^4 + z^2/a^2 + (4*z^4)/a^8 - (15*z^4)/a^6 + 
   (20*z^4)/a^4 - (8*z^4)/a^2 + (4*z^6)/a^8 - (24*z^6)/a^6 + (36*z^6)/a^4 - 
   (12*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (25*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55613] -> 1 - 2/a^8 + 4/a^6 - 2/a^4 + z^2/a^8 + 
   z^2/a^4 - 4*z^4 + (3*z^4)/a^8 - (11*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 - 
   4*z^6 + z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + (8*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55614] -> -4/a^8 + 6/a^6 - a^(-4) - (4*z^2)/a^10 + 
   (2*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 - (8*z^4)/a^10 + (24*z^4)/a^8 - 
   (10*z^4)/a^6 + (5*z^4)/a^4 - (5*z^6)/a^10 + (29*z^6)/a^8 - (31*z^6)/a^6 + 
   (11*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (24*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55615] -> -3/a^8 + 4/a^6 - (2*z^2)/a^10 + z^2/a^8 + 
   (5*z^2)/a^6 + (3*z^2)/a^4 - z^2/a^2 - (3*z^4)/a^10 + (9*z^4)/a^8 - 
   z^4/a^6 + z^4/a^4 + z^4/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - 
   (4*z^6)/a^4 + (3*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55616] -> 
  -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 2*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 + 
   (6*z^2)/a^2 - 5*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (10*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (7*z^6)/a^6 + (5*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55617] -> 1 - a^(-8) + 2/a^6 - a^(-4) + z^2 + 
   z^2/a^8 - (2*z^2)/a^4 + (2*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - 
   (4*z^4)/a^6 - (2*z^4)/a^4 + (6*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - 
   (2*z^6)/a^6 + z^6/a^4 + (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 55618] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^10 - z^2/a^8 + (11*z^2)/a^6 - (3*z^2)/a^4 + 
   z^2/a^2 - (3*z^4)/a^10 + (8*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (3*z^6)/a^6 - (9*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55619] -> 
  -2/a^8 + 2/a^6 + a^(-4) - z^2/a^10 + (4*z^2)/a^6 + (2*z^2)/a^4 + z^4 - 
   z^4/a^10 + (3*z^4)/a^8 + (3*z^4)/a^6 - (2*z^4)/a^4 + z^6 + (2*z^6)/a^8 - 
   (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55620] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 + 6*a^2*z^2 - 
   15*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - 2*a^2*z^4 - 16*a^4*z^4 + 
   15*a^6*z^4 - 3*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 11*a^4*z^6 + 9*a^6*z^6 - 
   a^8*z^6 + z^8 - 5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 55621] -> 1 + 2*a^2 - 5*a^4 + 4*a^6 - a^8 + z^2 - 
   7*a^4*z^2 + 7*a^6*z^2 - 2*a^8*z^2 + (2*z^4)/a^2 - 5*a^2*z^4 - 3*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 6*a^2*z^6 - 2*a^4*z^6 + 
   2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, Knot[15, Alternating, 55622] -> 
  1 + a^2 - 2*a^4 + a^6 + z^2 - 2*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + a^4*z^4 + 4*a^6*z^4 - a^8*z^4 - 2*z^6 + 
   z^6/a^2 - 6*a^2*z^6 - a^4*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 55623] -> 2 - a^2 - a^4 + a^6 - 2*a^2*z^2 + a^6*z^2 - 
   a^8*z^2 - 2*z^4 + z^4/a^4 + z^4/a^2 - 2*a^2*z^4 + 2*a^4*z^4 + 2*a^6*z^4 - 
   3*z^6 - z^6/a^2 - 3*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 55624] -> 
  2*a^4 - a^6 + a^8 - a^10 + 13*a^4*z^2 - 23*a^6*z^2 + 20*a^8*z^2 - 
   5*a^10*z^2 + 22*a^4*z^4 - 59*a^6*z^4 + 42*a^8*z^4 - 8*a^10*z^4 + 
   18*a^4*z^6 - 62*a^6*z^6 + 36*a^8*z^6 - 5*a^10*z^6 + 7*a^4*z^8 - 
   33*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 55625] -> 3*a^4 - 3*a^6 + 2*a^8 - a^10 + 
   4*a^2*z^2 + a^4*z^2 - 10*a^6*z^2 + 12*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 
   8*a^4*z^4 - 16*a^6*z^4 + 16*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 12*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55626] -> 2*a^4 - a^8 + 13*a^4*z^2 - 24*a^6*z^2 + 
   21*a^8*z^2 - 6*a^10*z^2 + 24*a^4*z^4 - 64*a^6*z^4 + 47*a^8*z^4 - 
   9*a^10*z^4 + 19*a^4*z^6 - 66*a^6*z^6 + 38*a^8*z^6 - 5*a^10*z^6 + 
   7*a^4*z^8 - 34*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 
   2*a^8*z^10 - a^6*z^12, Knot[15, Alternating, 55627] -> 
  4*a^4 - 5*a^6 + 3*a^8 - a^10 + 4*a^2*z^2 - 9*a^6*z^2 + 11*a^8*z^2 - 
   3*a^10*z^2 + 8*a^2*z^4 - 13*a^4*z^4 - 11*a^6*z^4 + 15*a^8*z^4 - 
   3*a^10*z^4 + 5*a^2*z^6 - 14*a^4*z^6 - 10*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55628] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 2*z^2 - 
   a^2*z^2 + 2*a^4*z^2 - 7*a^6*z^2 + 8*a^8*z^2 - 2*a^10*z^2 + 3*z^4 - 
   5*a^2*z^4 - 2*a^4*z^4 - 7*a^6*z^4 + 7*a^8*z^4 - a^10*z^4 + z^6 - 
   4*a^2*z^6 - 3*a^4*z^6 - 4*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 55629] -> a^2 - a^4 + 3*a^6 - 2*a^8 + 
   6*a^2*z^2 - 8*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 8*a^2*z^4 - 
   17*a^4*z^4 - 4*a^6*z^4 + 11*a^8*z^4 - 3*a^10*z^4 + 5*a^2*z^6 - 
   14*a^4*z^6 - 8*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 
   5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55630] -> a^2 + a^6 - a^8 + 2*z^2 + a^2*z^2 - 
   4*a^4*z^2 + 2*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 2*z^4 - 2*a^2*z^4 - 
   9*a^4*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 6*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 55631] -> 
  a^2 - a^4 + 4*a^6 - 4*a^8 + a^10 + 6*a^2*z^2 - 9*a^4*z^2 + 5*a^6*z^2 + 
   3*a^8*z^2 - 2*a^10*z^2 + 9*a^2*z^4 - 18*a^4*z^4 - 4*a^6*z^4 + 13*a^8*z^4 - 
   3*a^10*z^4 + 5*a^2*z^6 - 15*a^4*z^6 - 9*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 6*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 55632] -> a^2 + a^4 - a^6 + 2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 2*a^8*z^2 - a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 9*a^4*z^4 + 
   2*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 7*a^4*z^6 - a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 55633] -> 
  2*a^2 - a^4 + z^2/a^2 - 2*a^4*z^2 + a^6*z^2 + 2*a^8*z^2 - a^10*z^2 - z^4 + 
   z^4/a^2 - 3*a^2*z^4 - 3*a^4*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 
   2*a^4*z^6 - a^6*z^6, Knot[15, Alternating, 55634] -> 
  2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2 + 3*a^2*z^2 - 8*a^4*z^2 + 
   7*a^6*z^2 + z^4 + a^2*z^4 - 13*a^4*z^4 + 8*a^6*z^4 - a^10*z^4 + z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 55635] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   17*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 10*a^2*z^2 - 3*a^4*z^2 - 
   23*z^4 + z^4/a^6 - (6*z^4)/a^4 + (18*z^4)/a^2 + 14*a^2*z^4 - 2*a^4*z^4 - 
   16*z^6 - (3*z^6)/a^4 + (10*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 55636] -> 
  a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - (4*z^2)/a^10 + (14*z^2)/a^8 - 
   (18*z^2)/a^6 + (11*z^2)/a^4 - (8*z^4)/a^10 + (40*z^4)/a^8 - (55*z^4)/a^6 + 
   (21*z^4)/a^4 - (5*z^6)/a^10 + (36*z^6)/a^8 - (61*z^6)/a^6 + (18*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55637] -> 
  -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - (3*z^2)/a^10 + (13*z^2)/a^8 - 
   (16*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (16*z^4)/a^8 - 
   (18*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (12*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55638] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 25*z^2 + 
   z^2/a^4 - (10*z^2)/a^2 - 11*a^2*z^2 + 60*z^4 + (7*z^4)/a^4 - 
   (36*z^4)/a^2 - 21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 
   18*a^2*z^6 + 33*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55639] -> 
  5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 17*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   7*a^2*z^2 + 23*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 
   16*z^6 + z^6/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55640] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 9*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 + 18*z^4 - (7*z^4)/a^2 - 21*a^2*z^4 + 7*a^4*z^4 + 
   36*z^6 - (12*z^6)/a^2 - 29*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 55641] -> -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 
   4*z^2 + z^2/a^2 + 2*a^2*z^2 + a^4*z^2 - z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 
   8*a^2*z^4 + 3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55642] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 + z^2 + z^2/a^6 - 
   (3*z^2)/a^4 + (2*z^2)/a^2 + 7*z^4 - (8*z^4)/a^6 + (22*z^4)/a^4 - 
   (23*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + (37*z^6)/a^4 - (29*z^6)/a^2 + z^8 - 
   (6*z^8)/a^6 + (25*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - 
   (2*z^10)/a^2 + z^12/a^4, Knot[15, Alternating, 55643] -> 
  -1 + 2/a^6 - 6/a^4 + 6/a^2 - 5*z^2 + z^2/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 
   2*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + (5*z^4)/a^4 + (4*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55644] -> 24 + 7/a^4 - 22/a^2 - 8*a^2 + 72*z^2 + 
   (24*z^2)/a^4 - (75*z^2)/a^2 - 20*a^2*z^2 + 90*z^4 + (34*z^4)/a^4 - 
   (110*z^4)/a^2 - 18*a^2*z^4 + 56*z^6 + (24*z^6)/a^4 - (89*z^6)/a^2 - 
   7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (41*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55645] -> 
  11 + 2/a^6 - 2/a^4 - 6/a^2 - 4*a^2 + 26*z^2 + (6*z^2)/a^6 - (8*z^2)/a^4 - 
   (16*z^2)/a^2 - 8*a^2*z^2 + 26*z^4 + (8*z^4)/a^6 - (14*z^4)/a^4 - 
   (19*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - 
   (14*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (6*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55646] -> 
  -5/a^10 + 19/a^8 - 25/a^6 + 12/a^4 - (19*z^2)/a^10 + (67*z^2)/a^8 - 
   (77*z^2)/a^6 + (28*z^2)/a^4 - (30*z^4)/a^10 + (101*z^4)/a^8 - 
   (98*z^4)/a^6 + (23*z^4)/a^4 - (23*z^6)/a^10 + (84*z^6)/a^8 - 
   (61*z^6)/a^6 + (8*z^6)/a^4 - (8*z^8)/a^10 + (40*z^8)/a^8 - (18*z^8)/a^6 + 
   z^8/a^4 - z^10/a^10 + (10*z^10)/a^8 - (2*z^10)/a^6 + z^12/a^8, 
 Knot[15, Alternating, 55647] -> -3/a^10 + 10/a^8 - 9/a^6 - a^(-4) + 4/a^2 - 
   (10*z^2)/a^10 + (28*z^2)/a^8 - (17*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 
   (12*z^4)/a^10 + (32*z^4)/a^8 - (8*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^10 + (20*z^6)/a^8 + (5*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55648] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 9*z^2 - 
   (11*z^2)/a^6 + (33*z^2)/a^4 - (30*z^2)/a^2 + 12*z^4 - (21*z^4)/a^6 + 
   (65*z^4)/a^4 - (54*z^4)/a^2 + 6*z^6 - (18*z^6)/a^6 + (63*z^6)/a^4 - 
   (42*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55649] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 - z^2 - 
   (7*z^2)/a^6 + (19*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (9*z^4)/a^6 + (24*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55650] -> -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + 2*z^4 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 5*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55651] -> 
  2 - 4*a^2 + 5*a^4 - 2*a^6 + 11*z^2 - 32*a^2*z^2 + 31*a^4*z^2 - 9*a^6*z^2 + 
   21*z^4 - 65*a^2*z^4 + 54*a^4*z^4 - 12*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 
   42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 55652] -> 
  3 - 6*a^2 + 6*a^4 - 2*a^6 + z^2 + (2*z^2)/a^2 - 15*a^2*z^2 + 17*a^4*z^2 - 
   5*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55653] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55654] -> 2 + a^(-4) - 2/a^2 + 13*z^2 + (5*z^2)/a^4 - 
   (15*z^2)/a^2 - 4*a^2*z^2 + 32*z^4 + (12*z^4)/a^4 - (37*z^4)/a^2 - 
   8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - (43*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55655] -> -1 + a^(-2) + a^2 + 15*z^2 - 
   (4*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 48*z^4 - (16*z^4)/a^2 - 
   48*a^2*z^4 + 12*a^4*z^4 + 56*z^6 - (17*z^6)/a^2 - 41*a^2*z^6 + 6*a^4*z^6 + 
   32*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 55656] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 12*z^2 - (4*z^2)/a^2 - 15*a^2*z^2 + 
   5*a^4*z^2 + 13*z^4 - (4*z^4)/a^4 + (3*z^4)/a^2 - 18*a^2*z^4 + 4*a^4*z^4 + 
   10*z^6 - (4*z^6)/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55657] -> -a^(-4) + 2/a^2 + (6*z^2)/a^8 - 
   (18*z^2)/a^6 + (18*z^2)/a^4 - (5*z^2)/a^2 + (17*z^4)/a^8 - (51*z^4)/a^6 + 
   (45*z^4)/a^4 - (11*z^4)/a^2 + (17*z^6)/a^8 - (57*z^6)/a^6 + (40*z^6)/a^4 - 
   (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + 
   z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55658] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 - z^2 + 
   (5*z^2)/a^8 - (15*z^2)/a^6 + (14*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + 
   (8*z^4)/a^8 - (21*z^4)/a^6 + (9*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55659] -> 4 - 4/a^6 + 11/a^4 - 10/a^2 + 16*z^2 - 
   (8*z^2)/a^6 + (36*z^2)/a^4 - (43*z^2)/a^2 + 25*z^4 - (9*z^4)/a^6 + 
   (51*z^4)/a^4 - (75*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55660] -> 
  2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + (7*z^2)/a^8 - (33*z^2)/a^6 + 
   (47*z^2)/a^4 - (16*z^2)/a^2 + (9*z^4)/a^8 - (50*z^4)/a^6 + (76*z^4)/a^4 - 
   (25*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55661] -> 
  2 - 3/a^8 + 8/a^6 - 6/a^4 + 7*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - 
   (13*z^2)/a^4 - (8*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - 
   (15*z^4)/a^4 - (18*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55662] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 7*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - 
   (3*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (5*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 55663] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 
   9*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + 18*z^4 - (7*z^4)/a^2 - 21*a^2*z^4 + 
   7*a^4*z^4 + 36*z^6 - (12*z^6)/a^2 - 29*a^2*z^6 + 5*a^4*z^6 + 25*z^8 - 
   (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 55664] -> -9 + 3/a^2 + 11*a^2 - 4*a^4 - 
   21*z^2 - (2*z^2)/a^4 + (11*z^2)/a^2 + 15*a^2*z^2 - 2*a^4*z^2 - 16*z^4 - 
   (5*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + 
   (11*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55665] -> 
  24 + 7/a^4 - 22/a^2 - 8*a^2 + 74*z^2 + (26*z^2)/a^4 - (79*z^2)/a^2 - 
   20*a^2*z^2 + 93*z^4 + (37*z^4)/a^4 - (118*z^4)/a^2 - 18*a^2*z^4 + 57*z^6 + 
   (25*z^6)/a^4 - (94*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - 
   (42*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55666] -> 10 + 5/a^4 - 13/a^2 + a^2 - 2*a^4 + 16*z^2 + 
   (14*z^2)/a^4 - (35*z^2)/a^2 + 10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + 
   (14*z^4)/a^4 - (38*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + 
   (6*z^6)/a^4 - (22*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55667] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + z^2/a^2 + 2*a^2*z^2 + 
   a^4*z^2 - z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 8*a^2*z^4 + 3*a^4*z^4 + 
   4*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55668] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + z^2 + 
   (2*z^2)/a^8 - (8*z^2)/a^6 + (11*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + 
   (3*z^4)/a^8 - (9*z^4)/a^6 + (6*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (7*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55669] -> 6 - 2/a^6 + 9/a^4 - 12/a^2 + 13*z^2 - 
   (11*z^2)/a^6 + (37*z^2)/a^4 - (42*z^2)/a^2 + 13*z^4 - (21*z^4)/a^6 + 
   (66*z^4)/a^4 - (60*z^4)/a^2 + 6*z^6 - (18*z^6)/a^6 + (63*z^6)/a^4 - 
   (43*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55670] -> -7 + 4/a^2 + 4*a^2 - 18*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 19*z^4 - (8*z^4)/a^6 + 
   (15*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + 
   (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55671] -> 
  19 + 6/a^4 - 18/a^2 - 6*a^2 + 57*z^2 + (21*z^2)/a^4 - (63*z^2)/a^2 - 
   15*a^2*z^2 + 72*z^4 + (29*z^4)/a^4 - (93*z^4)/a^2 - 14*a^2*z^4 + 46*z^6 + 
   (20*z^6)/a^4 - (75*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (35*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55672] -> 8 + a^(-6) + a^(-4) - 7/a^2 - 2*a^2 + 
   6*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (9*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 
   7*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 
   10*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55673] -> 
  4 - 3/a^6 + 9/a^4 - 9/a^2 + 12*z^2 - (15*z^2)/a^6 + (45*z^2)/a^4 - 
   (42*z^2)/a^2 + 13*z^4 - (25*z^4)/a^6 + (78*z^4)/a^4 - (63*z^4)/a^2 + 
   6*z^6 - (19*z^6)/a^6 + (69*z^6)/a^4 - (44*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (34*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55674] -> -3/a^10 + 11/a^8 - 13/a^6 + 
   4/a^4 + 2/a^2 - (8*z^2)/a^10 + (25*z^2)/a^8 - (21*z^2)/a^6 - (2*z^2)/a^4 + 
   (5*z^2)/a^2 - (9*z^4)/a^10 + (26*z^4)/a^8 - (11*z^4)/a^6 - (12*z^4)/a^4 + 
   (4*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55675] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 
   2*a^2 - 13*z^2 - (7*z^2)/a^6 + (15*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   18*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55676] -> -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - 
   (7*z^2)/a^10 + (19*z^2)/a^8 - (9*z^2)/a^6 - (13*z^2)/a^4 + (8*z^2)/a^2 - 
   (9*z^4)/a^10 + (22*z^4)/a^8 - z^4/a^6 - (20*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 + (7*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55677] -> -8 - a^(-6) + a^(-4) + 5/a^2 + 4*a^2 - 
   20*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + (11*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - 
   (6*z^4)/a^6 + (10*z^4)/a^4 + (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55678] -> -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - 
   (7*z^2)/a^10 + (21*z^2)/a^8 - (16*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (9*z^4)/a^10 + (25*z^4)/a^8 - (10*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (16*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55679] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55680] -> -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 7*z^2 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 55681] -> -2 - a^(-8) + 4/a^6 - 4/a^4 + 
   2/a^2 + 2*a^2 - 11*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (18*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 55682] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 
   11*z^2 + (2*z^2)/a^4 - z^2/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + 
   (5*z^4)/a^4 - (7*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + 
   (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55683] -> 
  -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 4*z^2 - z^2/a^2 + 21*a^2*z^2 - 
   21*a^4*z^2 + 7*a^6*z^2 + a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 21*a^2*z^4 - 
   16*a^4*z^4 - 2*a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 12*a^2*z^6 - 
   2*a^4*z^6 - 2*a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 55684] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 + z^2/a^6 - (5*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (2*z^4)/a^6 + (9*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55685] -> 
  -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - 
   (15*z^2)/a^10 - (12*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^12 - 
   (16*z^4)/a^10 - (19*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (11*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 55686] -> 
  -2/a^10 + 7/a^8 - 8/a^6 + 2/a^4 + 2/a^2 - (7*z^2)/a^10 + (21*z^2)/a^8 - 
   (16*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - (9*z^4)/a^10 + (25*z^4)/a^8 - 
   (10*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 + 
   (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55687] -> 24 + 7/a^4 - 22/a^2 - 8*a^2 + 62*z^2 + 
   (22*z^2)/a^4 - (67*z^2)/a^2 - 16*a^2*z^2 + 73*z^4 + (29*z^4)/a^4 - 
   (94*z^4)/a^2 - 14*a^2*z^4 + 46*z^6 + (20*z^6)/a^4 - (75*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (35*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55688] -> 
  4 - 12*a^2 + 15*a^4 - 6*a^6 + 16*z^2 - 48*a^2*z^2 + 48*a^4*z^2 - 
   13*a^6*z^2 + 25*z^4 - 79*a^2*z^4 + 64*a^4*z^4 - 13*a^6*z^4 + 19*z^6 - 
   69*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 15*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55689] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 2*a^6 - 
   15*z^2 + (7*z^2)/a^2 + 2*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 20*z^4 + 
   (9*z^4)/a^2 - 6*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55690] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 - (4*z^2)/a^6 + (13*z^2)/a^4 - (13*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55691] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 - z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (11*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (15*z^4)/a^6 + (4*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55692] -> 6 - 2/a^6 + 9/a^4 - 12/a^2 + 13*z^2 - 
   (11*z^2)/a^6 + (37*z^2)/a^4 - (42*z^2)/a^2 + 13*z^4 - (21*z^4)/a^6 + 
   (66*z^4)/a^4 - (60*z^4)/a^2 + 6*z^6 - (18*z^6)/a^6 + (63*z^6)/a^4 - 
   (43*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55693] -> 12 + 3/a^4 - 10/a^2 - 4*a^2 + 40*z^2 + 
   (12*z^2)/a^4 - (39*z^2)/a^2 - 12*a^2*z^2 + 59*z^4 + (21*z^4)/a^4 - 
   (67*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (63*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55694] -> 
  -7 + 4/a^2 + 4*a^2 - 18*z^2 - (4*z^2)/a^6 + (6*z^2)/a^4 + (6*z^2)/a^2 + 
   6*a^2*z^2 - 19*z^4 - (8*z^4)/a^6 + (15*z^4)/a^4 + (8*z^4)/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55695] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 + 6*z^2 + 
   (6*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + 
   (8*z^4)/a^6 - (19*z^4)/a^4 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - 
   (14*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55696] -> 
  6/a^8 - 22/a^6 + 25/a^4 - 8/a^2 + (15*z^2)/a^8 - (65*z^2)/a^6 + 
   (83*z^2)/a^4 - (28*z^2)/a^2 + (14*z^4)/a^8 - (81*z^4)/a^6 + 
   (119*z^4)/a^4 - (38*z^4)/a^2 + (6*z^6)/a^8 - (51*z^6)/a^6 + (94*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55697] -> -2 + 3/a^8 - 10/a^6 + 8/a^4 + 2/a^2 - 
   7*z^2 + (6*z^2)/a^8 - (24*z^2)/a^6 + (21*z^2)/a^4 + (8*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (24*z^4)/a^6 + (24*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55698] -> -1 - 6*a^2 + 22*a^4 - 18*a^6 + 4*a^8 - 
   5*z^2 - 13*a^2*z^2 + 63*a^4*z^2 - 45*a^6*z^2 + 8*a^8*z^2 - 8*z^4 - 
   5*a^2*z^4 + 74*a^4*z^4 - 44*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 6*a^2*z^6 + 
   46*a^4*z^6 - 19*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 15*a^4*z^8 - 
   3*a^6*z^8 + a^2*z^10 + 2*a^4*z^10, Knot[15, Alternating, 55699] -> 
  -4 + 6*a^2 + 5*a^4 - 8*a^6 + 2*a^8 - 9*z^2 - z^2/a^2 + 18*a^2*z^2 + 
   12*a^4*z^2 - 16*a^6*z^2 + 3*a^8*z^2 - 5*z^4 - (2*z^4)/a^2 + 22*a^2*z^4 + 
   13*a^4*z^4 - 12*a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 13*a^2*z^6 + 
   8*a^4*z^6 - 3*a^6*z^6 + z^8 + 3*a^2*z^8 + 2*a^4*z^8, 
 Knot[15, Alternating, 55700] -> 25 - 9/a^2 - 21*a^2 + 6*a^4 + 74*z^2 - 
   (21*z^2)/a^2 - 73*a^2*z^2 + 23*a^4*z^2 + 91*z^4 - (18*z^4)/a^2 - 
   109*a^2*z^4 + 34*a^4*z^4 + 56*z^6 - (7*z^6)/a^2 - 89*a^2*z^6 + 
   24*a^4*z^6 + 17*z^8 - z^8/a^2 - 41*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 55701] -> 
  8 - 3/a^4 + 3/a^2 - 11*a^2 + 4*a^4 + 13*z^2 - (6*z^2)/a^4 + (13*z^2)/a^2 - 
   30*a^2*z^2 + 12*a^4*z^2 + 3*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 - 
   34*a^2*z^4 + 13*a^4*z^4 - 7*z^6 - z^6/a^4 + (10*z^6)/a^2 - 21*a^2*z^6 + 
   6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55702] -> 7/a^12 - 24/a^10 + 24/a^8 - 6/a^6 + 
   (14*z^2)/a^12 - (68*z^2)/a^10 + (86*z^2)/a^8 - (23*z^2)/a^6 + 
   (13*z^4)/a^12 - (80*z^4)/a^10 + (125*z^4)/a^8 - (34*z^4)/a^6 + 
   (6*z^6)/a^12 - (50*z^6)/a^10 + (96*z^6)/a^8 - (24*z^6)/a^6 + z^8/a^12 - 
   (16*z^8)/a^10 + (42*z^8)/a^8 - (8*z^8)/a^6 - (2*z^10)/a^10 + 
   (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 55703] -> 
  4/a^12 - 12/a^10 + 7/a^8 + 4/a^6 - 2/a^4 + (6*z^2)/a^12 - (28*z^2)/a^10 + 
   (23*z^2)/a^8 + (14*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (25*z^4)/a^10 + 
   (28*z^4)/a^8 + (20*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + 
   (17*z^6)/a^8 + (15*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55704] -> -1 + a^(-2) + a^2 + 15*z^2 - (4*z^2)/a^2 - 
   20*a^2*z^2 + 8*a^4*z^2 + 48*z^4 - (16*z^4)/a^2 - 48*a^2*z^4 + 12*a^4*z^4 + 
   56*z^6 - (17*z^6)/a^2 - 41*a^2*z^6 + 6*a^4*z^6 + 32*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 55705] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 
   12*z^2 - (4*z^2)/a^2 - 15*a^2*z^2 + 5*a^4*z^2 + 13*z^4 - (4*z^4)/a^4 + 
   (3*z^4)/a^2 - 18*a^2*z^4 + 4*a^4*z^4 + 10*z^6 - (4*z^6)/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55706] -> 
  14 + 5/a^4 - 14/a^2 - 4*a^2 + 57*z^2 + (21*z^2)/a^4 - (63*z^2)/a^2 - 
   16*a^2*z^2 + 83*z^4 + (33*z^4)/a^4 - (104*z^4)/a^2 - 17*a^2*z^4 + 55*z^6 + 
   (24*z^6)/a^4 - (88*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - 
   (41*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55707] -> 8 + a^(-6) + a^(-4) - 7/a^2 - 2*a^2 + 
   22*z^2 + (5*z^2)/a^6 - (5*z^2)/a^4 - (17*z^2)/a^2 - 7*a^2*z^2 + 25*z^4 + 
   (8*z^4)/a^6 - (13*z^4)/a^4 - (19*z^4)/a^2 - 5*a^2*z^4 + 12*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (14*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55708] -> 9 + 4/a^4 - 10/a^2 - 2*a^2 + 16*z^2 + 
   (12*z^2)/a^4 - (31*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 6*z^4 + 
   (13*z^4)/a^4 - (35*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 6*z^6 + 
   (6*z^6)/a^4 - (21*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55709] -> 
  3 + a^(-6) - 3/a^2 + 6*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - (9*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (10*z^4)/a^2 + 
   5*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 55710] -> 
  6 - 4/a^6 + 13/a^4 - 14/a^2 + 17*z^2 - (20*z^2)/a^6 + (61*z^2)/a^4 - 
   (59*z^2)/a^2 + 17*z^4 - (33*z^4)/a^6 + (103*z^4)/a^4 - (84*z^4)/a^2 + 
   7*z^6 - (24*z^6)/a^6 + (88*z^6)/a^4 - (55*z^6)/a^2 + z^8 - (8*z^8)/a^6 + 
   (41*z^8)/a^4 - (17*z^8)/a^2 - z^10/a^6 + (10*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55711] -> -3/a^6 + 9/a^4 - 7/a^2 + 2*a^2 - 
   10*z^2 - (11*z^2)/a^6 + (27*z^2)/a^4 - (13*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (13*z^4)/a^6 + (33*z^4)/a^4 - (3*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (6*z^6)/a^6 + (21*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55712] -> -6 - 2/a^6 + 5/a^4 + 4*a^2 - 23*z^2 - 
   (7*z^2)/a^6 + (13*z^2)/a^4 + (6*z^2)/a^2 + 8*a^2*z^2 - 26*z^4 - 
   (9*z^4)/a^6 + (17*z^4)/a^4 + (15*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (14*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55713] -> 4 - a^(-6) + 5/a^4 - 7/a^2 - (4*z^2)/a^6 + 
   (13*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + 
   (15*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55714] -> 
  1 - 2/a^6 + 6/a^4 - 4/a^2 - 2*a^2 + 2*a^4 + 2*z^2 - (5*z^2)/a^6 + 
   (11*z^2)/a^4 - (6*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 5*z^4 - (4*z^4)/a^6 + 
   (10*z^4)/a^4 - 8*a^2*z^4 + a^4*z^4 + 4*z^6 - z^6/a^6 + (5*z^6)/a^4 + 
   (3*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 55715] -> -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^6 - z^2/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (8*z^4)/a^4 + (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55716] -> -2 - a^(-8) + 4/a^6 - 4/a^4 + 2/a^2 + 
   2*a^2 - 11*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (14*z^2)/a^4 + 
   (11*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (18*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 55717] -> -2 - a^(-4) + 3/a^2 + 3*a^2 - 
   4*a^4 + 2*a^6 - 12*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 
   12*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 
   20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 
   13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 55718] -> -3/a^10 + 11/a^8 - 13/a^6 + 4/a^4 + 2/a^2 - 
   (8*z^2)/a^10 + (25*z^2)/a^8 - (21*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   (9*z^4)/a^10 + (26*z^4)/a^8 - (11*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (16*z^6)/a^8 + (2*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55719] -> 5 + 2/a^4 - 6/a^2 + 2*a^2 - 2*a^4 + 6*z^2 + 
   (7*z^2)/a^4 - (17*z^2)/a^2 + 11*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + 
   (9*z^4)/a^4 - (21*z^4)/a^2 + 17*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55720] -> 
  -4/a^14 + 16/a^12 - 22/a^10 + 9/a^8 + 2/a^6 - (8*z^2)/a^14 + 
   (42*z^2)/a^12 - (61*z^2)/a^10 + (22*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^4)/a^14 + (43*z^4)/a^12 - (71*z^4)/a^10 + (13*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (19*z^6)/a^12 - (45*z^6)/a^10 - (4*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (15*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55721] -> 
  -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - 
   (12*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (12*z^4)/a^10 - (19*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (8*z^6)/a^10 - (13*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 55722] -> 
  6 - 20*a^2 + 25*a^4 - 10*a^6 + 23*z^2 - 72*a^2*z^2 + 75*a^4*z^2 - 
   21*a^6*z^2 + 34*z^4 - 109*a^2*z^4 + 91*a^4*z^4 - 18*a^6*z^4 + 24*z^6 - 
   89*a^2*z^6 + 56*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 41*a^2*z^8 + 17*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55723] -> -3 + 2/a^2 - 4*a^2 + 12*a^4 - 6*a^6 - 
   10*z^2 + (7*z^2)/a^2 - 14*a^2*z^2 + 30*a^4*z^2 - 9*a^6*z^2 - 16*z^4 + 
   (9*z^4)/a^2 - 20*a^2*z^4 + 28*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55724] -> 
  -10 - a^(-8) + 4/a^6 - 8/a^4 + 12/a^2 + 4*a^2 - 23*z^2 - (2*z^2)/a^8 + 
   (9*z^2)/a^6 - (23*z^2)/a^4 + (33*z^2)/a^2 + 4*a^2*z^2 - 19*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (24*z^4)/a^4 + (37*z^4)/a^2 + 3*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (13*z^6)/a^4 + (20*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55725] -> 
  12 + 3/a^4 - 10/a^2 - 4*a^2 + 40*z^2 + (12*z^2)/a^4 - (39*z^2)/a^2 - 
   12*a^2*z^2 + 59*z^4 + (21*z^4)/a^4 - (67*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55726] -> -1 + 2/a^6 - 6/a^4 + 6/a^2 + 6*z^2 + 
   (6*z^2)/a^6 - (16*z^2)/a^4 + (8*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + 
   (8*z^4)/a^6 - (19*z^4)/a^4 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - 
   (14*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55727] -> 
  -2 - a^(-8) + 2/a^6 + 2*a^2 - 11*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (5*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 55728] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 12*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 13*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 17*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 12*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 55729] -> -a^(-4) + 2/a^2 + (6*z^2)/a^8 - 
   (18*z^2)/a^6 + (18*z^2)/a^4 - (5*z^2)/a^2 + (17*z^4)/a^8 - (51*z^4)/a^6 + 
   (45*z^4)/a^4 - (11*z^4)/a^2 + (17*z^6)/a^8 - (57*z^6)/a^6 + (40*z^6)/a^4 - 
   (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + 
   z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55730] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 - z^2 + 
   (5*z^2)/a^8 - (15*z^2)/a^6 + (14*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 + 
   (8*z^4)/a^8 - (21*z^4)/a^6 + (9*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55731] -> 6 - a^(-8) + 8/a^4 - 12/a^2 + 11*z^2 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (20*z^2)/a^4 - (34*z^2)/a^2 + 6*z^4 - 
   (11*z^4)/a^8 + (18*z^4)/a^6 + (24*z^4)/a^4 - (34*z^4)/a^2 + z^6 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 + (18*z^6)/a^4 - (14*z^6)/a^2 - z^8/a^8 + 
   (7*z^8)/a^6 + (7*z^8)/a^4 - (2*z^8)/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 55732] -> -a^(-8) + a^(-6) + 4/a^4 - 5/a^2 + 2*a^2 - 
   6*z^2 - (4*z^2)/a^8 + (3*z^2)/a^6 + (11*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 7*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + (14*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 55733] -> -6 - a^(-8) + 2/a^6 + 2/a^2 + 4*a^2 - 
   13*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (4*z^2)/a^4 + z^2/a^2 + 4*a^2*z^2 - 
   9*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (10*z^4)/a^4 + (2*z^4)/a^2 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 55734] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 - z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (11*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (15*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (4*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55735] -> 
  1 - a^(-8) + 2/a^6 + a^(-4) - 2/a^2 - 2*a^2 + 2*a^4 - z^2 - (2*z^2)/a^8 + 
   (2*z^2)/a^6 + (2*z^2)/a^4 - (2*z^2)/a^2 - 5*a^2*z^2 + a^4*z^2 + z^4 - 
   z^4/a^8 + (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^4)/a^2 - 2*a^2*z^4 + z^6 + 
   z^6/a^6 + (2*z^6)/a^4 + (2*z^6)/a^2, Knot[15, Alternating, 55736] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 4*z^2 + z^2/a^6 - (6*z^2)/a^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - 
   a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 
   3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55737] -> 19 + 6/a^4 - 18/a^2 - 6*a^2 + 57*z^2 + 
   (21*z^2)/a^4 - (63*z^2)/a^2 - 15*a^2*z^2 + 72*z^4 + (29*z^4)/a^4 - 
   (93*z^4)/a^2 - 14*a^2*z^4 + 46*z^6 + (20*z^6)/a^4 - (75*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (35*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55738] -> 
  4 - 4/a^6 + 11/a^4 - 10/a^2 + 16*z^2 - (8*z^2)/a^6 + (36*z^2)/a^4 - 
   (43*z^2)/a^2 + 25*z^4 - (9*z^4)/a^6 + (51*z^4)/a^4 - (75*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55739] -> 2 - 3/a^8 + 8/a^6 - 6/a^4 + 
   7*z^2 - (4*z^2)/a^8 + (18*z^2)/a^6 - (13*z^2)/a^4 - (8*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (15*z^4)/a^4 - (18*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55740] -> 2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + 
   (7*z^2)/a^8 - (33*z^2)/a^6 + (47*z^2)/a^4 - (16*z^2)/a^2 + (9*z^4)/a^8 - 
   (50*z^4)/a^6 + (76*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + 
   (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55741] -> -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - 
   7*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (3*z^2)/a^4 + (16*z^2)/a^2 - 9*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (5*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55742] -> -4 - a^(-6) + a^(-4) + 3/a^2 + 2*a^2 - 
   10*z^2 - (4*z^2)/a^6 + (7*z^2)/a^4 + (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - 
   (6*z^4)/a^6 + (13*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55743] -> 4 - 12*a^2 + 15*a^4 - 6*a^6 + 16*z^2 - 
   48*a^2*z^2 + 48*a^4*z^2 - 13*a^6*z^2 + 25*z^4 - 79*a^2*z^4 + 64*a^4*z^4 - 
   13*a^6*z^4 + 19*z^6 - 69*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 55744] -> -5 + 2/a^2 + 4*a^2 + 2*a^4 - 
   2*a^6 - 15*z^2 + (7*z^2)/a^2 + 2*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 
   20*z^4 + (9*z^4)/a^2 - 6*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55745] -> 
  14 + 5/a^4 - 14/a^2 - 4*a^2 + 45*z^2 + (17*z^2)/a^4 - (51*z^2)/a^2 - 
   12*a^2*z^2 + 63*z^4 + (25*z^4)/a^4 - (80*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + 
   (19*z^6)/a^4 - (69*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55746] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 9*z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 - 4*a^2*z^2 + 16*z^4 + (8*z^4)/a^6 - 
   (18*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - 
   (14*z^6)/a^4 - (8*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55747] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 2*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 4*a^2*z^2 + 
   2*a^4*z^2 + 2*z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - 10*a^2*z^4 + 3*a^4*z^4 + 
   5*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55748] -> 2 + a^(-4) - 2/a^2 + 13*z^2 + (5*z^2)/a^4 - 
   (15*z^2)/a^2 - 4*a^2*z^2 + 32*z^4 + (12*z^4)/a^4 - (37*z^4)/a^2 - 
   8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - (43*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55749] -> -1 + a^(-2) - a^2 + 4*a^4 - 
   2*a^6 - 7*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 
   13*z^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + 
   (4*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55750] -> 
  9 + 4/a^4 - 10/a^2 - 2*a^2 + 40*z^2 + (16*z^2)/a^4 - (47*z^2)/a^2 - 
   11*a^2*z^2 + 62*z^4 + (25*z^4)/a^4 - (79*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + 
   (19*z^6)/a^4 - (69*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55751] -> 3 + a^(-6) - 3/a^2 + 10*z^2 + (5*z^2)/a^6 - 
   (9*z^2)/a^4 - (5*z^2)/a^2 - 4*a^2*z^2 + 16*z^4 + (8*z^4)/a^6 - 
   (17*z^4)/a^4 - (6*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - 
   (14*z^6)/a^4 - (8*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55752] -> 
  4 - 3/a^6 + 9/a^4 - 9/a^2 + 12*z^2 - (15*z^2)/a^6 + (45*z^2)/a^4 - 
   (42*z^2)/a^2 + 13*z^4 - (25*z^4)/a^6 + (78*z^4)/a^4 - (63*z^4)/a^2 + 
   6*z^6 - (19*z^6)/a^6 + (69*z^6)/a^4 - (44*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (34*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55753] -> -2 - 2/a^6 + 5/a^4 - 2/a^2 + 
   2*a^2 - 13*z^2 - (7*z^2)/a^6 + (15*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 
   18*z^4 - (9*z^4)/a^6 + (20*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55754] -> -2 - a^(-8) + 2/a^6 + 2*a^2 - 11*z^2 - 
   (4*z^2)/a^8 + (8*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 55755] -> -5 + 2/a^2 + 6*a^2 - 2*a^4 - 11*z^2 + 
   (2*z^2)/a^4 - z^2/a^2 + 15*a^2*z^2 - 5*a^4*z^2 - 12*z^4 + (5*z^4)/a^4 - 
   (7*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 10*z^6 + (4*z^6)/a^4 - 
   (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55756] -> 
  -2 + a^(-8) - 6/a^4 + 8/a^2 - 5*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (10*z^4)/a^6 - 
   (15*z^4)/a^4 + (19*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55757] -> 
  -8 - a^(-6) + a^(-4) + 5/a^2 + 4*a^2 - 20*z^2 - (4*z^2)/a^6 + (5*z^2)/a^4 + 
   (11*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - (6*z^4)/a^6 + (10*z^4)/a^4 + 
   (14*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55758] -> 
  -4 + a^(-6) - 3/a^4 + 5/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (5*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (2*z^4)/a^6 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   8*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55759] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (9*z^2)/a^8 - (11*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (12*z^4)/a^8 - (6*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55760] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55761] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (17*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55762] -> 24 + 7/a^4 - 22/a^2 - 8*a^2 + 74*z^2 + 
   (26*z^2)/a^4 - (79*z^2)/a^2 - 20*a^2*z^2 + 93*z^4 + (37*z^4)/a^4 - 
   (118*z^4)/a^2 - 18*a^2*z^4 + 57*z^6 + (25*z^6)/a^4 - (94*z^6)/a^2 - 
   7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - (42*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55763] -> 
  10 + 5/a^4 - 13/a^2 + a^2 - 2*a^4 + 16*z^2 + (14*z^2)/a^4 - (35*z^2)/a^2 + 
   10*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (14*z^4)/a^4 - (38*z^4)/a^2 + 
   17*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (6*z^6)/a^4 - (22*z^6)/a^2 + 10*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55764] -> -1 + a^(-2) + a^2 + 7*z^2 - (2*z^2)/a^2 - 
   10*a^2*z^2 + 4*a^4*z^2 + 32*z^4 - (11*z^4)/a^2 - 31*a^2*z^4 + 8*a^4*z^4 + 
   42*z^6 - (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 55765] -> -a^(-4) + 2/a^2 - 2*z^2 + (2*z^2)/a^8 - 
   (2*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (9*z^4)/a^6 - (6*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55766] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (4*z^2)/a^10 + (14*z^2)/a^8 - (18*z^2)/a^6 + (11*z^2)/a^4 - (8*z^4)/a^10 + 
   (40*z^4)/a^8 - (55*z^4)/a^6 + (21*z^4)/a^4 - (5*z^6)/a^10 + (36*z^6)/a^8 - 
   (61*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (33*z^8)/a^6 + 
   (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55767] -> -a^(-10) + 4/a^8 - 7/a^6 + 5/a^4 - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (16*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (18*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (12*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55768] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 25*z^2 + 
   z^2/a^4 - (10*z^2)/a^2 - 11*a^2*z^2 + 60*z^4 + (7*z^4)/a^4 - 
   (36*z^4)/a^2 - 21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 
   18*a^2*z^6 + 33*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55769] -> 
  5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 17*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 - 
   7*a^2*z^2 + 23*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 - (4*z^4)/a^2 - 9*a^2*z^4 + 
   16*z^6 + z^6/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55770] -> -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (15*z^2)/a^10 - (12*z^2)/a^8 + 
   (17*z^2)/a^6 - z^4/a^14 + (14*z^4)/a^12 - (16*z^4)/a^10 - (19*z^4)/a^8 + 
   (13*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 55771] -> 2 + 2/a^8 - 5/a^6 + 5/a^4 - 3/a^2 + z^2 + 
   (5*z^2)/a^8 - (14*z^2)/a^6 + (11*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (18*z^4)/a^6 + (8*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55772] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 11*z^2 - 
   32*a^2*z^2 + 31*a^4*z^2 - 9*a^6*z^2 + 21*z^4 - 65*a^2*z^4 + 54*a^4*z^4 - 
   12*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 55773] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 
   z^2 + (2*z^2)/a^2 - 15*a^2*z^2 + 17*a^4*z^2 - 5*a^6*z^2 - 6*z^4 + 
   (5*z^4)/a^2 - 16*a^2*z^4 + 19*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55774] -> 
  14 + 5/a^4 - 14/a^2 - 4*a^2 + 45*z^2 + (17*z^2)/a^4 - (51*z^2)/a^2 - 
   12*a^2*z^2 + 63*z^4 + (25*z^4)/a^4 - (80*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + 
   (19*z^6)/a^4 - (69*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55775] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 9*z^2 - 
   (11*z^2)/a^6 + (33*z^2)/a^4 - (30*z^2)/a^2 + 12*z^4 - (21*z^4)/a^6 + 
   (65*z^4)/a^4 - (54*z^4)/a^2 + 6*z^6 - (18*z^6)/a^6 + (63*z^6)/a^4 - 
   (42*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55776] -> 3 - 2/a^6 + 6/a^4 - 6/a^2 - z^2 - 
   (7*z^2)/a^6 + (19*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - 
   (9*z^4)/a^6 + (24*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55777] -> 1 + 2/a^6 - 4/a^4 + 2/a^2 + 9*z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 - 4*a^2*z^2 + 16*z^4 + (8*z^4)/a^6 - 
   (18*z^4)/a^4 - (5*z^4)/a^2 - 4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - 
   (14*z^6)/a^4 - (8*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55778] -> 
  -a^(-14) + 4/a^12 - 3/a^10 - 5/a^8 + 6/a^6 - (2*z^2)/a^14 + (11*z^2)/a^12 - 
   (9*z^2)/a^10 - (14*z^2)/a^8 + (17*z^2)/a^6 - z^4/a^14 + (12*z^4)/a^12 - 
   (12*z^4)/a^10 - (20*z^4)/a^8 + (13*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - 
   (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 55779] -> 
  8 + a^(-6) + a^(-4) - 7/a^2 - 2*a^2 + 6*z^2 + (3*z^2)/a^6 - (3*z^2)/a^4 - 
   (9*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 7*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   z^4/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (6*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55780] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (13*z^2)/a^4 - (6*z^2)/a^2 - 2*z^4 + 
   (6*z^4)/a^8 - (17*z^4)/a^6 + (9*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55781] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 4*z^2 + 
   z^2/a^6 - (6*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 - 8*z^4 + (2*z^4)/a^6 - 
   (5*z^4)/a^4 + (4*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55782] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + (3*z^2)/a^12 - (11*z^2)/a^10 + 
   (3*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + (3*z^4)/a^12 - (19*z^4)/a^10 + 
   (18*z^4)/a^8 + (16*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (22*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55783] -> a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + 
   (2*z^2)/a^12 - (9*z^2)/a^10 + (11*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (9*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 55784] -> 1 + 4/a^4 - 8/a^2 + 8*a^2 - 4*a^4 + 4*z^2 + 
   (12*z^2)/a^4 - (28*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 + (13*z^4)/a^4 - 
   (34*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (6*z^6)/a^4 - 
   (21*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55785] -> 
  4 + a^(-6) + a^(-4) - 6/a^2 + 3*a^2 - 2*a^4 + 7*z^2 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (12*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 55786] -> -3/a^10 + 8/a^8 - 3/a^6 - 7/a^4 + 6/a^2 - 
   (10*z^2)/a^10 + (27*z^2)/a^8 - (10*z^2)/a^6 - (20*z^2)/a^4 + 
   (11*z^2)/a^2 - (12*z^4)/a^10 + (32*z^4)/a^8 - (6*z^4)/a^6 - (24*z^4)/a^4 + 
   (6*z^4)/a^2 - (6*z^6)/a^10 + (20*z^6)/a^8 + (5*z^6)/a^6 - (12*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55787] -> 2 - 2/a^10 + 5/a^8 - a^(-6) - 
   4/a^4 + a^(-2) + 3*z^2 - (5*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (8*z^4)/a^8 + 
   (8*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 55788] -> -3/a^8 + 9/a^6 - 10/a^4 + 5/a^2 - 
   (2*z^2)/a^8 + (14*z^2)/a^6 - (19*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^8 - 
   (7*z^4)/a^6 - z^4/a^4 - z^4/a^2 + (4*z^6)/a^8 - (20*z^6)/a^6 + 
   (21*z^6)/a^4 - (8*z^6)/a^2 + z^8/a^8 - (11*z^8)/a^6 + (19*z^8)/a^4 - 
   (5*z^8)/a^2 - (2*z^10)/a^6 + (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55789] -> -1 - a^(-6) + 3/a^2 + 3*z^2 - (3*z^2)/a^6 + 
   (10*z^2)/a^4 - (7*z^2)/a^2 + 13*z^4 - (6*z^4)/a^6 + (28*z^4)/a^4 - 
   (35*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (28*z^6)/a^4 - (45*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55790] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + z^2/a^10 - (12*z^2)/a^8 + (21*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - 
   (9*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - 
   (7*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55791] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 13*z^2 - (9*z^2)/a^6 + (33*z^2)/a^4 - 
   (36*z^2)/a^2 + 24*z^4 - (12*z^4)/a^6 + (57*z^4)/a^4 - (73*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55792] -> 4 - 3/a^6 + 9/a^4 - 9/a^2 + 
   10*z^2 - (2*z^2)/a^8 + z^2/a^6 + (17*z^2)/a^4 - (26*z^2)/a^2 + 10*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 + (8*z^4)/a^4 - (29*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55793] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (2*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (15*z^4)/a^10 + (14*z^4)/a^8 + (11*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (18*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55794] -> -a^(-8) + a^(-6) + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (3*z^2)/a^4 + (7*z^2)/a^2 - 8*z^4 + 
   (3*z^4)/a^8 - (17*z^4)/a^6 + (15*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (13*z^6)/a^6 + (21*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (11*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55795] -> 6/a^8 - 22/a^6 + 25/a^4 - 8/a^2 + 
   (17*z^2)/a^8 - (69*z^2)/a^6 + (85*z^2)/a^4 - (28*z^2)/a^2 + (17*z^4)/a^8 - 
   (89*z^4)/a^6 + (122*z^4)/a^4 - (38*z^4)/a^2 + (7*z^6)/a^8 - (56*z^6)/a^6 + 
   (95*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55796] -> a^(-10) - 9/a^6 + 13/a^4 - 4/a^2 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 - (15*z^2)/a^6 + (34*z^2)/a^4 - (12*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 - (5*z^4)/a^6 + (36*z^4)/a^4 - (13*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + (21*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 55797] -> 7 - 3/a^2 - 3*a^2 + 39*z^2 + (8*z^2)/a^4 - 
   (30*z^2)/a^2 - 14*a^2*z^2 + 74*z^4 + (12*z^4)/a^4 - (56*z^4)/a^2 - 
   24*a^2*z^4 + 68*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 55798] -> 9 - a^(-6) + 4/a^4 - 8/a^2 - 3*a^2 + 
   25*z^2 + (2*z^2)/a^6 + z^2/a^4 - (17*z^2)/a^2 - 9*a^2*z^2 + 28*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55799] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 13*z^2 - (9*z^2)/a^6 + (33*z^2)/a^4 - 
   (36*z^2)/a^2 + 24*z^4 - (12*z^4)/a^6 + (57*z^4)/a^4 - (73*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55800] -> 4 - 3/a^6 + 9/a^4 - 9/a^2 + 
   10*z^2 - (2*z^2)/a^8 + z^2/a^6 + (17*z^2)/a^4 - (26*z^2)/a^2 + 10*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 + (8*z^4)/a^4 - (29*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55801] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 14*z^2 - 
   (8*z^2)/a^6 + (33*z^2)/a^4 - (37*z^2)/a^2 + 26*z^4 - (8*z^4)/a^6 + 
   (50*z^4)/a^4 - (74*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + (36*z^6)/a^4 - 
   (70*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55802] -> 
  -1 - a^(-6) + 3/a^2 + 3*z^2 - (3*z^2)/a^6 + (10*z^2)/a^4 - (7*z^2)/a^2 + 
   13*z^4 - (6*z^4)/a^6 + (28*z^4)/a^4 - (35*z^4)/a^2 + 14*z^6 - 
   (4*z^6)/a^6 + (28*z^6)/a^4 - (45*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55803] -> 7 - 3/a^2 - 3*a^2 + 39*z^2 + 
   (8*z^2)/a^4 - (30*z^2)/a^2 - 14*a^2*z^2 + 74*z^4 + (12*z^4)/a^4 - 
   (56*z^4)/a^2 - 24*a^2*z^4 + 68*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55804] -> 
  9 - a^(-6) + 4/a^4 - 8/a^2 - 3*a^2 + 25*z^2 + (2*z^2)/a^6 + z^2/a^4 - 
   (17*z^2)/a^2 - 9*a^2*z^2 + 28*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - 
   (9*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55805] -> -1 - a^(-6) + 3/a^2 + 8*z^2 - (6*z^2)/a^6 + 
   (21*z^2)/a^4 - (20*z^2)/a^2 + 22*z^4 - (9*z^4)/a^6 + (46*z^4)/a^4 - 
   (61*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (65*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55806] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 28*z^2 + (2*z^2)/a^4 - (13*z^2)/a^2 - 
   12*a^2*z^2 + 66*z^4 + (8*z^4)/a^4 - (41*z^4)/a^2 - 23*a^2*z^4 + 66*z^6 + 
   (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 55807] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 14*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 18*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55808] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 - 
   (2*z^2)/a^10 + (6*z^2)/a^8 - (8*z^2)/a^6 + (7*z^2)/a^4 - (7*z^4)/a^10 + 
   (28*z^4)/a^8 - (34*z^4)/a^6 + (13*z^4)/a^4 - (5*z^6)/a^10 + (30*z^6)/a^8 - 
   (43*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (26*z^8)/a^6 + 
   (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 55809] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 7*z^2 + 
   (2*z^2)/a^6 - (9*z^2)/a^4 + (10*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (10*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55810] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 7*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (10*z^2)/a^4 - (16*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   z^4/a^4 - (21*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - (8*z^6)/a^4 - 
   (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 55811] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 
   2*a^2 + 16*z^2 + z^2/a^6 - (6*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (2*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (8*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55812] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55813] -> a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 8*z^4 - (3*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 
   7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55814] -> 8 - 3/a^6 + 13/a^4 - 17/a^2 + 20*z^2 - 
   (15*z^2)/a^6 + (53*z^2)/a^4 - (62*z^2)/a^2 + 18*z^4 - (25*z^4)/a^6 + 
   (83*z^4)/a^4 - (81*z^4)/a^2 + 7*z^6 - (19*z^6)/a^6 + (70*z^6)/a^4 - 
   (51*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (34*z^8)/a^4 - (16*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55815] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 4*a^2 - 
   20*z^2 - (6*z^2)/a^6 + (13*z^2)/a^4 + 8*a^2*z^2 - 23*z^4 - (9*z^4)/a^6 + 
   (19*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55816] -> 
  7 - 2/a^2 - 6*a^2 + 2*a^4 + 31*z^2 - (9*z^2)/a^2 - 33*a^2*z^2 + 
   11*a^4*z^2 + 54*z^4 - (16*z^4)/a^2 - 53*a^2*z^4 + 13*a^4*z^4 + 50*z^6 - 
   (14*z^6)/a^2 - 39*a^2*z^6 + 6*a^4*z^6 + 27*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 55817] -> -1 + 3*a^2 - a^6 - 5*z^2 + 13*a^2*z^2 - 
   2*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 7*z^4 + 17*a^2*z^4 - 14*a^6*z^4 + 
   4*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55818] -> 2 + a^(-4) - 2/a^2 + 2*z^2 + (4*z^2)/a^4 - 
   (10*z^2)/a^2 + 7*a^2*z^2 - 4*a^4*z^2 - z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 
   14*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55819] -> 4 - 3/a^6 + 9/a^4 - 9/a^2 + 17*z^2 - 
   (10*z^2)/a^6 + (40*z^2)/a^4 - (47*z^2)/a^2 + 27*z^4 - (11*z^4)/a^6 + 
   (59*z^4)/a^4 - (82*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (41*z^6)/a^4 - 
   (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55820] -> 
  4/a^12 - 13/a^10 + 11/a^8 - a^(-6) + (6*z^2)/a^12 - (29*z^2)/a^10 + 
   (29*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + 
   (38*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55821] -> a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 + (21*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + z^4/a^8 + (21*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 55822] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   z^2/a^12 + (7*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55823] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   5*z^2 + z^2/a^10 - z^2/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + (10*z^2)/a^2 - 
   4*z^4 - z^4/a^8 - (2*z^4)/a^6 + z^4/a^4 + (12*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55824] -> 7 - 3/a^2 - 3*a^2 + 18*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 55825] -> 15 - a^(-4) - 3/a^2 - 15*a^2 + 
   5*a^4 + 26*z^2 - (3*z^2)/a^4 + z^2/a^2 - 35*a^2*z^2 + 12*a^4*z^2 + 
   16*z^4 - (3*z^4)/a^4 + (8*z^4)/a^2 - 35*a^2*z^4 + 11*a^4*z^4 + z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 19*a^2*z^6 + 5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55826] -> 
  28 - 10/a^2 - 24*a^2 + 7*a^4 + 82*z^2 - (23*z^2)/a^2 - 82*a^2*z^2 + 
   26*a^4*z^2 + 98*z^4 - (19*z^4)/a^2 - 119*a^2*z^4 + 37*a^4*z^4 + 58*z^6 - 
   (7*z^6)/a^2 - 94*a^2*z^6 + 25*a^4*z^6 + 17*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 55827] -> 6/a^8 - 24/a^6 + 29/a^4 - 10/a^2 + 
   (15*z^2)/a^8 - (70*z^2)/a^6 + (95*z^2)/a^4 - (33*z^2)/a^2 + (14*z^4)/a^8 - 
   (85*z^4)/a^6 + (132*z^4)/a^4 - (42*z^4)/a^2 + (6*z^6)/a^8 - (52*z^6)/a^6 + 
   (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55828] -> 5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + 
   (14*z^2)/a^8 - (55*z^2)/a^6 + (66*z^2)/a^4 - (21*z^2)/a^2 + (14*z^4)/a^8 - 
   (71*z^4)/a^6 + (94*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55829] -> 5 - 4/a^4 + 6/a^2 - 10*a^2 + 4*a^4 + 4*z^2 - 
   (8*z^2)/a^4 + (21*z^2)/a^2 - 27*a^2*z^2 + 12*a^4*z^2 - 7*z^4 - 
   (5*z^4)/a^4 + (25*z^4)/a^2 - 31*a^2*z^4 + 13*a^4*z^4 - 12*z^6 - z^6/a^4 + 
   (12*z^6)/a^2 - 20*a^2*z^6 + 6*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55830] -> 
  2/a^10 - 5/a^8 - 2/a^6 + 10/a^4 - 4/a^2 + (5*z^2)/a^10 - (17*z^2)/a^8 + 
   (3*z^2)/a^6 + (27*z^2)/a^4 - (12*z^2)/a^2 + (4*z^4)/a^10 - (21*z^4)/a^8 + 
   (12*z^4)/a^6 + (31*z^4)/a^4 - (13*z^4)/a^2 + z^6/a^10 - (11*z^6)/a^8 + 
   (13*z^6)/a^6 + (20*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + (6*z^8)/a^6 + 
   (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 55831] -> 3 - 4*a^2 + 2*a^4 + 23*z^2 - (6*z^2)/a^2 - 
   30*a^2*z^2 + 11*a^4*z^2 + 49*z^4 - (15*z^4)/a^2 - 52*a^2*z^4 + 
   13*a^4*z^4 + 49*z^6 - (14*z^6)/a^2 - 39*a^2*z^6 + 6*a^4*z^6 + 27*z^8 - 
   (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 55832] -> 11 - 3/a^2 - 11*a^2 + 4*a^4 + 
   47*z^2 - (14*z^2)/a^2 - 50*a^2*z^2 + 16*a^4*z^2 + 79*z^4 - (24*z^4)/a^2 - 
   74*a^2*z^4 + 17*a^4*z^4 + 69*z^6 - (19*z^6)/a^2 - 50*a^2*z^6 + 7*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 55833] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 9*z^2 - (5*z^2)/a^6 + (14*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (7*z^4)/a^6 + (17*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55834] -> 
  7 - 2/a^2 - 4*a^2 - 2*a^4 + 2*a^6 + 19*z^2 - (7*z^2)/a^2 - 8*a^2*z^2 - 
   13*a^4*z^2 + 7*a^6*z^2 + 22*z^4 - (9*z^4)/a^2 - a^2*z^4 - 20*a^4*z^4 + 
   5*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 55835] -> -2 + a^(-4) + 2*a^2 - 12*z^2 - (3*z^2)/a^6 + 
   (6*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 16*z^4 - (6*z^4)/a^6 + (12*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55836] -> 
  -2 + 4/a^8 - 15/a^6 + 15/a^4 - a^(-2) - 7*z^2 + (8*z^2)/a^8 - 
   (37*z^2)/a^6 + (42*z^2)/a^4 - 9*z^4 + (5*z^4)/a^8 - (37*z^4)/a^6 + 
   (51*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 55837] -> 
  -3/a^10 + 9/a^8 - 7/a^6 - 2/a^4 + 4/a^2 - (6*z^2)/a^10 + (28*z^2)/a^8 - 
   (24*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^10 + (32*z^4)/a^8 - 
   (40*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (33*z^6)/a^6 - (15*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55838] -> 2 - 3/a^10 + 8/a^8 - 5/a^6 - a^(-4) + 
   5*z^2 - (3*z^2)/a^10 + (17*z^2)/a^8 - (13*z^2)/a^6 - (5*z^2)/a^4 - 
   (3*z^2)/a^2 + 4*z^4 - z^4/a^10 + (12*z^4)/a^8 - (16*z^4)/a^6 - 
   (11*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (9*z^6)/a^6 - 
   (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 55839] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - 
   (5*z^2)/a^14 + (20*z^2)/a^12 - (22*z^2)/a^10 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (26*z^4)/a^12 - (31*z^4)/a^10 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (27*z^6)/a^10 - (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 55840] -> 
  -2/a^14 + 6/a^12 - 6/a^10 + a^(-8) + 2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (13*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (13*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 55841] -> 
  4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + (11*z^2)/a^8 - (51*z^2)/a^6 + 
   (70*z^2)/a^4 - (24*z^2)/a^2 + (11*z^4)/a^8 - (65*z^4)/a^6 + 
   (100*z^4)/a^4 - (32*z^4)/a^2 + (5*z^6)/a^8 - (42*z^6)/a^6 + (79*z^6)/a^4 - 
   (21*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (36*z^8)/a^4 - (7*z^8)/a^2 - 
   (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55842] -> 13 - 2/a^4 - a^(-2) - 13*a^2 + 4*a^4 + 
   20*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 29*a^2*z^2 + 10*a^4*z^2 + 9*z^4 - 
   (4*z^4)/a^4 + (14*z^4)/a^2 - 29*a^2*z^4 + 10*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55843] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 55844] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (16*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55845] -> 
  6 - a^(-4) + a^(-2) - 9*a^2 + 4*a^4 + 10*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   23*a^2*z^2 + 8*a^4*z^2 + 10*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 
   23*a^2*z^4 + 5*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 11*a^2*z^6 + 
   a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55846] -> 2 - a^(-4) + 2/a^2 - 2*a^2 - 2*a^4 + 2*a^6 + 
   3*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 55847] -> -2 + a^(-4) + 2*a^2 - 12*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + z^2/a^2 + 5*a^2*z^2 - 16*z^4 - (6*z^4)/a^6 + 
   (12*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55848] -> 
  -3/a^18 + 15/a^16 - 23/a^14 + 8/a^12 + 4/a^10 - (2*z^2)/a^18 + 
   (25*z^2)/a^16 - (66*z^2)/a^14 + (38*z^2)/a^12 + (16*z^2)/a^10 + 
   (9*z^4)/a^16 - (63*z^4)/a^14 + (67*z^4)/a^12 + (25*z^4)/a^10 - 
   (2*z^6)/a^16 - (20*z^6)/a^14 + (55*z^6)/a^12 + (19*z^6)/a^10 - z^8/a^16 + 
   z^8/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + z^10/a^14 + (3*z^10)/a^12 + 
   z^10/a^10, Knot[15, Alternating, 55849] -> 5 - 5/a^6 + 14/a^4 - 13/a^2 + 
   19*z^2 - (10*z^2)/a^6 + (44*z^2)/a^4 - (52*z^2)/a^2 + 28*z^4 - 
   (10*z^4)/a^6 + (58*z^4)/a^4 - (85*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + 
   (40*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55850] -> 3 - 3/a^8 + 7/a^6 - 3/a^4 - 3/a^2 + 9*z^2 - 
   (4*z^2)/a^8 + (17*z^2)/a^6 - (8*z^2)/a^4 - (14*z^2)/a^2 + 10*z^4 - 
   (3*z^4)/a^8 + (17*z^4)/a^6 - (13*z^4)/a^4 - (22*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55851] -> 7/a^8 - 28/a^6 + 34/a^4 - 12/a^2 + 
   (15*z^2)/a^8 - (76*z^2)/a^6 + (107*z^2)/a^4 - (38*z^2)/a^2 + 
   (12*z^4)/a^8 - (85*z^4)/a^6 + (143*z^4)/a^4 - (46*z^4)/a^2 + (5*z^6)/a^8 - 
   (49*z^6)/a^6 + (105*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (44*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55852] -> -4 - 3/a^8 + 8/a^6 - 8/a^4 + 
   6/a^2 + 2*a^2 - 10*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (23*z^2)/a^4 + 
   (16*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - 
   (26*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (14*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 55853] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 
   8*z^2 - (6*z^2)/a^6 + (22*z^2)/a^4 - (23*z^2)/a^2 + 15*z^4 - (9*z^4)/a^6 + 
   (39*z^4)/a^4 - (47*z^4)/a^2 + 14*z^6 - (5*z^6)/a^6 + (33*z^6)/a^4 - 
   (48*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55854] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (23*z^2)/a^6 + (12*z^2)/a^4 - (8*z^4)/a^10 + (37*z^4)/a^8 - (48*z^4)/a^6 + 
   (17*z^4)/a^4 - (5*z^6)/a^10 + (32*z^6)/a^8 - (49*z^6)/a^6 + (14*z^6)/a^4 - 
   z^8/a^10 + (13*z^8)/a^8 - (27*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - 
   (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55855] -> 
  17 + 2/a^4 - 11/a^2 - 7*a^2 + 57*z^2 + (8*z^2)/a^4 - (39*z^2)/a^2 - 
   21*a^2*z^2 + 87*z^4 + (10*z^4)/a^4 - (56*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 55856] -> 5/a^8 - 21/a^6 + 26/a^4 - 9/a^2 + 
   (10*z^2)/a^8 - (53*z^2)/a^6 + (77*z^2)/a^4 - (27*z^2)/a^2 + (10*z^4)/a^8 - 
   (63*z^4)/a^6 + (104*z^4)/a^4 - (33*z^4)/a^2 + (5*z^6)/a^8 - (41*z^6)/a^6 + 
   (80*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55857] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + 
   (5*z^2)/a^8 - (18*z^2)/a^6 + (18*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (26*z^4)/a^6 + (29*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55858] -> 9 - a^(-6) + 4/a^4 - 8/a^2 - 3*a^2 + 
   23*z^2 + (7*z^2)/a^4 - (21*z^2)/a^2 - 7*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - 
   (19*z^4)/a^2 - 7*a^2*z^4 + 14*z^6 + z^6/a^6 - (5*z^6)/a^4 - (5*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55859] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (19*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55860] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   5*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (12*z^2)/a^2 + 6*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (6*z^4)/a^4 - (18*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (7*z^6)/a^6 - (12*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (3*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55861] -> 
  2 - 6/a^6 + 17/a^4 - 14/a^2 + 2*a^2 - 3*z^2 - (9*z^2)/a^6 + (41*z^2)/a^4 - 
   (39*z^2)/a^2 + 9*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + (40*z^4)/a^4 - 
   (52*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - z^6/a^6 + (18*z^6)/a^4 - 
   (38*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - (14*z^8)/a^2 + a^2*z^8 - 
   z^10 - (2*z^10)/a^2, Knot[15, Alternating, 55862] -> 
  -3/a^8 + 6/a^6 - 4/a^2 + 2*a^2 - z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - 
   (16*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 - 
   (22*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - 
   (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 55863] -> 11 - a^(-4) - 2/a^2 - 10*a^2 + 3*a^4 + 
   24*z^2 - (3*z^2)/a^4 - 28*a^2*z^2 + 9*a^4*z^2 + 18*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 31*a^2*z^4 + 10*a^4*z^4 + 2*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   18*a^2*z^6 + 5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 55864] -> 
  17 + 2/a^4 - 11/a^2 - 7*a^2 + 57*z^2 + (8*z^2)/a^4 - (39*z^2)/a^2 - 
   21*a^2*z^2 + 87*z^4 + (10*z^4)/a^4 - (56*z^4)/a^2 - 28*a^2*z^4 + 73*z^6 + 
   (5*z^6)/a^4 - (40*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 55865] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + 
   (6*z^2)/a^8 - (21*z^2)/a^6 + (25*z^2)/a^4 - (7*z^2)/a^2 + (9*z^4)/a^8 - 
   (39*z^4)/a^6 + (47*z^4)/a^4 - (15*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + 
   (48*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55866] -> -1 - a^(-6) + 3/a^2 + 8*z^2 - (6*z^2)/a^6 + 
   (21*z^2)/a^4 - (20*z^2)/a^2 + 22*z^4 - (9*z^4)/a^6 + (46*z^4)/a^4 - 
   (61*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (65*z^6)/a^2 + 
   7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55867] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 28*z^2 + (2*z^2)/a^4 - (13*z^2)/a^2 - 
   12*a^2*z^2 + 66*z^4 + (8*z^4)/a^4 - (41*z^4)/a^2 - 23*a^2*z^4 + 66*z^6 + 
   (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 55868] -> 9 - 2/a^4 - 8*a^2 + 2*a^4 + 18*z^2 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 22*a^2*z^2 + 7*a^4*z^2 + 11*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 - 25*a^2*z^4 + 9*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55869] -> 
  -4 + 6*a^2 + 5*a^4 - 8*a^6 + 2*a^8 - 12*z^2 + 19*a^2*z^2 + 15*a^4*z^2 - 
   18*a^6*z^2 + 3*a^8*z^2 - 9*z^4 - (2*z^4)/a^2 + 26*a^2*z^4 + 18*a^4*z^4 - 
   15*a^6*z^4 + a^8*z^4 - z^6/a^2 + 17*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 + 
   z^8 + 4*a^2*z^8 + 3*a^4*z^8, Knot[15, Alternating, 55870] -> 
  6/a^8 - 22/a^6 + 25/a^4 - 8/a^2 + (13*z^2)/a^8 - (57*z^2)/a^6 + 
   (73*z^2)/a^4 - (24*z^2)/a^2 + (13*z^4)/a^8 - (69*z^4)/a^6 + (98*z^4)/a^4 - 
   (30*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + (76*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55871] -> 
  5/a^12 - 16/a^10 + 14/a^8 - 2/a^6 + (11*z^2)/a^12 - (48*z^2)/a^10 + 
   (55*z^2)/a^8 - (11*z^2)/a^6 + (12*z^4)/a^12 - (62*z^4)/a^10 + 
   (86*z^4)/a^8 - (21*z^4)/a^6 + (6*z^6)/a^12 - (43*z^6)/a^10 + 
   (71*z^6)/a^8 - (18*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + (34*z^8)/a^8 - 
   (7*z^8)/a^6 - (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 55872] -> 2/a^12 - 4/a^10 - 3/a^8 + 8/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (16*z^2)/a^10 + (2*z^2)/a^8 + (22*z^2)/a^6 - (7*z^2)/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (10*z^4)/a^8 + (25*z^4)/a^6 - (9*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (10*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55873] -> 2 - 3/a^6 + 7/a^4 - 5/a^2 + 7*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (10*z^2)/a^4 - (16*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - z^4/a^4 - (21*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55874] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 16*z^2 + 
   z^2/a^6 - (6*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (2*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (8*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55875] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 4*z^2 + 
   8*a^2*z^2 + 7*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 13*a^2*z^4 + 
   6*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 55876] -> 15 - 4/a^2 - 16*a^2 + 6*a^4 + 
   55*z^2 - (16*z^2)/a^2 - 60*a^2*z^2 + 19*a^4*z^2 + 84*z^4 - (25*z^4)/a^2 - 
   80*a^2*z^4 + 18*a^4*z^4 + 70*z^6 - (19*z^6)/a^2 - 51*a^2*z^6 + 7*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 55877] -> 
  1 - 2/a^4 + 5/a^2 - 7*a^2 + 4*a^4 - (7*z^2)/a^4 + (16*z^2)/a^2 - 
   20*a^2*z^2 + 8*a^4*z^2 + 4*z^4 - (9*z^4)/a^4 + (21*z^4)/a^2 - 22*a^2*z^4 + 
   5*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55878] -> 11 - 3/a^2 - 9*a^2 + 2*a^6 + 23*z^2 - 
   (8*z^2)/a^2 - 13*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 
   2*a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 55879] -> -3 - 2/a^4 + 6/a^2 - 2*a^4 + 
   2*a^6 - 2*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 4*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 55880] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55881] -> 
  2 + a^(-4) - 2/a^2 + 2*z^2 + (4*z^2)/a^4 - (10*z^2)/a^2 + 7*a^2*z^2 - 
   4*a^4*z^2 - z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55882] -> -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (13*z^2)/a^12 - (17*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (21*z^4)/a^12 - (23*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (14*z^6)/a^12 - (22*z^6)/a^10 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (11*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 55883] -> -2/a^6 + 3/a^4 + 5*z^2 - 
   (4*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + 14*z^4 - (6*z^4)/a^6 + 
   (30*z^4)/a^4 - (39*z^4)/a^2 + 14*z^6 - (4*z^6)/a^6 + (28*z^6)/a^4 - 
   (46*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55884] -> 
  15 - 7/a^2 - 7*a^2 + 52*z^2 + (3*z^2)/a^4 - (27*z^2)/a^2 - 21*a^2*z^2 + 
   83*z^4 + (6*z^4)/a^4 - (43*z^4)/a^2 - 28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - 
   (34*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 55885] -> 
  2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (8*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (17*z^4)/a^10 + 
   (18*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + 
   (19*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55886] -> -a^(-10) + 3/a^8 - 3/a^6 + 2/a^2 - 
   (3*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (20*z^4)/a^8 - (22*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55887] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + 5*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (7*z^4)/a^4 - (9*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55888] -> 
  -2/a^6 + 3/a^4 + (4*z^2)/a^8 - (13*z^2)/a^6 + (16*z^2)/a^4 - (4*z^2)/a^2 + 
   (8*z^4)/a^8 - (32*z^4)/a^6 + (37*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - 
   (31*z^6)/a^6 + (43*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 55889] -> 11 - 3/a^2 - 11*a^2 + 4*a^4 + 
   35*z^2 - (10*z^2)/a^2 - 38*a^2*z^2 + 12*a^4*z^2 + 55*z^4 - (16*z^4)/a^2 - 
   54*a^2*z^4 + 13*a^4*z^4 + 50*z^6 - (14*z^6)/a^2 - 39*a^2*z^6 + 6*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 55890] -> 
  -7 - 2/a^4 + 7/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 22*z^2 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 55891] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 2*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55892] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55893] -> 2 + 2/a^8 - 5/a^6 + 5/a^4 - 3/a^2 - z^2 + 
   (6*z^2)/a^8 - (17*z^2)/a^6 + (12*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + 
   (7*z^4)/a^8 - (21*z^4)/a^6 + (9*z^4)/a^4 + (6*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (13*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55894] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 33*z^2 + 
   (9*z^2)/a^4 - (31*z^2)/a^2 - 11*a^2*z^2 + 53*z^4 + (16*z^4)/a^4 - 
   (54*z^4)/a^2 - 13*a^2*z^4 + 39*z^6 + (14*z^6)/a^4 - (50*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 55895] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 12*z^2 + (6*z^2)/a^4 - (18*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + (7*z^4)/a^4 - (19*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 55896] -> -2/a^14 + 8/a^12 - 10/a^10 + a^(-8) + 
   4/a^6 - (3*z^2)/a^14 + (17*z^2)/a^12 - (20*z^2)/a^10 - (3*z^2)/a^8 + 
   (11*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (18*z^4)/a^10 - 
   (14*z^4)/a^8 + (8*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (14*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 55897] -> 5 - 16*a^2 + 20*a^4 - 8*a^6 + 20*z^2 - 
   64*a^2*z^2 + 68*a^4*z^2 - 20*a^6*z^2 + 29*z^4 - 96*a^2*z^4 + 85*a^4*z^4 - 
   18*a^6*z^4 + 20*z^6 - 76*a^2*z^6 + 52*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   35*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 55898] -> -4 + 2/a^2 + 7*a^4 - 4*a^6 - 
   17*z^2 + (8*z^2)/a^2 - a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 23*z^4 + 
   (10*z^4)/a^2 - 6*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 
   9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55899] -> 
  4/a^12 - 13/a^10 + 11/a^8 - a^(-6) + (6*z^2)/a^12 - (29*z^2)/a^10 + 
   (29*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (29*z^4)/a^10 + 
   (38*z^4)/a^8 + (11*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + 
   (29*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55900] -> a^(-12) - a^(-10) - 6/a^8 + 9/a^6 - 2/a^4 + 
   (2*z^2)/a^12 - (6*z^2)/a^10 - (7*z^2)/a^8 + (21*z^2)/a^6 - (2*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + z^4/a^8 + (21*z^4)/a^6 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (12*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 55901] -> -3/a^10 + 9/a^8 - 7/a^6 - 2/a^4 + 4/a^2 - 
   (8*z^2)/a^10 + (24*z^2)/a^8 - (14*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 
   (9*z^4)/a^10 + (26*z^4)/a^8 - (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (16*z^6)/a^8 + (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55902] -> 2 - 2/a^10 + 6/a^8 - 5/a^6 + a^(-4) - 
   a^(-2) + 3*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 55903] -> -1 + a^(-6) - 2/a^2 + 5*a^2 - 2*a^4 - 
   8*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 11*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55904] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 10*z^2 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   13*a^4*z^2 - 5*a^6*z^2 - 16*z^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 16*a^4*z^4 - 
   4*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 55905] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   z^2/a^10 - (12*z^2)/a^8 + (21*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (9*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55906] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 + (2*z^2)/a^12 - (8*z^2)/a^10 + (2*z^2)/a^8 + (11*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (15*z^4)/a^10 + (14*z^4)/a^8 + (11*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (12*z^6)/a^10 + (18*z^6)/a^8 + (7*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 55907] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 4*z^2 + (5*z^2)/a^8 - (20*z^2)/a^6 + 
   (23*z^2)/a^4 - 8*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + (33*z^4)/a^4 + 
   (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + 
   (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + (5*z^8)/a^2 + 
   (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 55908] -> 
  -a^(-8) + a^(-6) + a^(-2) - 4*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (17*z^4)/a^6 + 
   (15*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (13*z^6)/a^6 + 
   (21*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (11*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 55909] -> 
  -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 + 
   (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 55910] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 14*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 - 5*a^2*z^2 + 18*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (8*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55911] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 - (2*z^2)/a^6 + (11*z^2)/a^4 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (10*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 55912] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 5*z^2 + z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 
   7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55913] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 55914] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 55915] -> 
  -4 - 2/a^6 + 7/a^4 - 4/a^2 + 4*a^2 - 18*z^2 - (7*z^2)/a^6 + (18*z^2)/a^4 - 
   (6*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (9*z^4)/a^6 + (21*z^4)/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 55916] -> 
  -1 - a^(-6) + 4/a^4 - 2/a^2 - a^2 + 2*a^4 - 4*z^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - 7*a^2*z^2 + 3*a^4*z^2 - z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 55917] -> -2 + a^(-6) - 5/a^4 + 7/a^2 + (4*z^2)/a^6 - 
   (13*z^2)/a^4 + (13*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + z^4/a^8 + (4*z^4)/a^6 - 
   (15*z^4)/a^4 + (9*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + 
   z^6/a^2 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 55918] -> 
  6 - 4/a^6 + 13/a^4 - 14/a^2 + 25*z^2 - (12*z^2)/a^6 + (53*z^2)/a^4 - 
   (67*z^2)/a^2 + 37*z^4 - (13*z^4)/a^6 + (75*z^4)/a^4 - (112*z^4)/a^2 + 
   25*z^6 - (6*z^6)/a^6 + (50*z^6)/a^4 - (93*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (16*z^8)/a^4 - (42*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55919] -> 6 - a^(-8) + 8/a^4 - 12/a^2 + 
   15*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 + (12*z^2)/a^4 - (34*z^2)/a^2 + 
   14*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (38*z^4)/a^2 + 6*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (22*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55920] -> a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 + 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (3*z^2)/a^8 + (14*z^2)/a^6 - (4*z^2)/a^4 + 
   (3*z^4)/a^12 - (19*z^4)/a^10 + (18*z^4)/a^8 + (16*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (22*z^6)/a^8 + (11*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55921] -> -2 - 4/a^6 + 11/a^4 - 7/a^2 + 
   3*a^2 - 14*z^2 - (8*z^2)/a^6 + (31*z^2)/a^4 - (22*z^2)/a^2 + 11*a^2*z^2 - 
   24*z^4 - (5*z^4)/a^6 + (31*z^4)/a^4 - (29*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (13*z^6)/a^4 - (20*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 55922] -> 
  -2 - a^(-8) + 6/a^4 - 5/a^2 + 3*a^2 - 6*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + 
   (9*z^2)/a^4 - (15*z^2)/a^2 + 6*a^2*z^2 - 7*z^4 - z^4/a^8 + (6*z^4)/a^6 + 
   (2*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + (2*z^6)/a^6 - 
   (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 55923] -> a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 4*z^2 + 
   (5*z^2)/a^8 - (20*z^2)/a^6 + (23*z^2)/a^4 - 8*z^4 + (4*z^4)/a^8 - 
   (27*z^4)/a^6 + (33*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (15*z^6)/a^6 + (28*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55924] -> -a^(-8) + a^(-6) + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (5*z^2)/a^8 + (2*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (10*z^4)/a^4 + z^4/a^2 - 
   z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 55925] -> 
  a^(-12) - 4/a^10 + 5/a^8 - 4/a^6 + 3/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (11*z^2)/a^8 - (5*z^2)/a^6 + (7*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (9*z^4)/a^10 + (11*z^4)/a^8 + z^4/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (7*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 55926] -> 
  -4/a^10 + 10/a^8 - 6/a^6 - 3/a^4 + 4/a^2 - (8*z^2)/a^10 + (33*z^2)/a^8 - 
   (25*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (38*z^4)/a^8 - 
   (45*z^4)/a^6 - (17*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (18*z^6)/a^8 - 
   (37*z^6)/a^6 - (14*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (14*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55927] -> 4/a^8 - 14/a^6 + 15/a^4 - 4/a^2 + 
   (16*z^2)/a^8 - (57*z^2)/a^6 + (64*z^2)/a^4 - (20*z^2)/a^2 + (17*z^4)/a^8 - 
   (83*z^4)/a^6 + (104*z^4)/a^4 - (33*z^4)/a^2 + (7*z^6)/a^8 - (55*z^6)/a^6 + 
   (88*z^6)/a^4 - (24*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (41*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55928] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 4*z^2 + 
   (7*z^2)/a^8 - (21*z^2)/a^6 + (16*z^2)/a^4 + (4*z^2)/a^2 - 8*z^4 + 
   (5*z^4)/a^8 - (25*z^4)/a^6 + (18*z^4)/a^4 + (12*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (12*z^6)/a^6 + (14*z^6)/a^4 + (13*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55929] -> 3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + 
   (4*z^2)/a^10 - (3*z^2)/a^8 - (19*z^2)/a^6 + (29*z^2)/a^4 - (9*z^2)/a^2 + 
   (4*z^4)/a^10 - (14*z^4)/a^8 - (9*z^4)/a^6 + (32*z^4)/a^4 - (12*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (5*z^6)/a^6 + (20*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 55930] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - z^2/a^8 - (7*z^2)/a^6 + (6*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (5*z^4)/a^8 - (5*z^4)/a^6 + (8*z^4)/a^4 + (3*z^4)/a^2 - z^6 - 
   (2*z^6)/a^8 + z^6/a^6 + (7*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 55931] -> 
  2 - 3/a^6 + 7/a^4 - 5/a^2 + 14*z^2 - (8*z^2)/a^6 + (33*z^2)/a^4 - 
   (37*z^2)/a^2 + 26*z^4 - (8*z^4)/a^6 + (50*z^4)/a^4 - (74*z^4)/a^2 + 
   20*z^6 - (4*z^6)/a^6 + (36*z^6)/a^4 - (70*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55932] -> -2/a^12 + 3/a^10 + 2/a^8 - 
   3/a^6 - 3/a^4 + 4/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + (4*z^2)/a^8 - 
   (16*z^2)/a^6 - (4*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - 
   (4*z^4)/a^8 - (25*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - 
   (7*z^6)/a^8 - (15*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - 
   (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 55933] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 - 2*z^2 + (2*z^2)/a^10 - (5*z^2)/a^8 - 
   (2*z^2)/a^6 + (11*z^2)/a^4 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + 
   (10*z^4)/a^6 + z^4/a^4 + (6*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (5*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 55934] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 
   35*z^2 - (9*z^2)/a^2 - 45*a^2*z^2 + 16*a^4*z^2 + 66*z^4 - (20*z^4)/a^2 - 
   70*a^2*z^4 + 17*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 49*a^2*z^6 + 7*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 55935] -> 
  5 - 8*a^2 + 4*a^4 + 10*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 22*a^2*z^2 + 
   8*a^4*z^2 + 12*z^4 - (5*z^4)/a^4 + (7*z^4)/a^2 - 23*a^2*z^4 + 5*a^4*z^4 + 
   10*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 55936] -> -2*a^2 + 9*a^4 - 8*a^6 + 2*a^8 - 
   11*a^2*z^2 + 41*a^4*z^2 - 40*a^6*z^2 + 13*a^8*z^2 - 21*a^2*z^4 + 
   70*a^4*z^4 - 66*a^6*z^4 + 16*a^8*z^4 - 18*a^2*z^6 + 64*a^4*z^6 - 
   48*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 55937] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 2*z^2 + 
   2*a^2*z^2 + 14*a^4*z^2 - 19*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 7*a^2*z^4 + 
   13*a^4*z^4 - 22*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 55938] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 3*z^2 + 7*a^2*z^2 + 5*a^4*z^2 - 
   13*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 8*a^2*z^4 + 7*a^4*z^4 - 16*a^6*z^4 + 
   4*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 7*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55939] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (8*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (17*z^4)/a^10 + (18*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (12*z^6)/a^10 + (19*z^6)/a^8 + (7*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (10*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55940] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 
   4*z^2 + (6*z^2)/a^8 - (25*z^2)/a^6 + (29*z^2)/a^4 - (2*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (29*z^4)/a^6 + (37*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (29*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55941] -> -3/a^10 + 10/a^8 - 11/a^6 + 3/a^4 + 2/a^2 - 
   (6*z^2)/a^10 + (28*z^2)/a^8 - (30*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (30*z^4)/a^8 - (40*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55942] -> -5/a^6 + 13/a^4 - 9/a^2 + 
   2*a^2 - 5*z^2 - (9*z^2)/a^6 + (38*z^2)/a^4 - (33*z^2)/a^2 + 9*a^2*z^2 - 
   12*z^4 - (5*z^4)/a^6 + (40*z^4)/a^4 - (50*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (18*z^6)/a^4 - (38*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 55943] -> -4/a^10 + 11/a^8 - 10/a^6 + 2/a^4 + 2/a^2 - 
   (8*z^2)/a^10 + (33*z^2)/a^8 - (31*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (36*z^4)/a^8 - (45*z^4)/a^6 - (6*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (17*z^6)/a^8 - (34*z^6)/a^6 - (9*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55944] -> -a^(-10) + 3/a^8 - 3/a^6 + 
   2/a^2 - (3*z^2)/a^10 + (13*z^2)/a^8 - (10*z^2)/a^6 - (6*z^2)/a^4 + 
   (7*z^2)/a^2 - (3*z^4)/a^10 + (20*z^4)/a^8 - (22*z^4)/a^6 - (13*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (13*z^6)/a^8 - (23*z^6)/a^6 - (11*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 55945] -> 
  -2/a^8 + 2/a^6 + 5/a^4 - 6/a^2 + 2*a^2 - z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 + 
   (6*z^2)/a^4 - (18*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - 
   (3*z^4)/a^4 - (22*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - 
   (6*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, 
 Knot[15, Alternating, 55946] -> -2/a^12 + 3/a^10 + 3/a^8 - 7/a^6 + 2/a^4 + 
   2/a^2 - (3*z^2)/a^12 + (11*z^2)/a^10 + (3*z^2)/a^8 - (18*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^12 + (11*z^4)/a^10 - (5*z^4)/a^8 - 
   (23*z^4)/a^6 - z^4/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - 
   (14*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - 
   z^8/a^4, Knot[15, Alternating, 55947] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (8*z^2)/a^4 + 5*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (7*z^4)/a^4 - (9*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 55948] -> 
  -3 - 2/a^8 + 4/a^6 - 2/a^4 + 2/a^2 + 2*a^2 - 10*z^2 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (13*z^2)/a^4 + (7*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^8 + 
   (12*z^4)/a^6 - (22*z^4)/a^4 + (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + 
   (3*z^6)/a^6 - (14*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 55949] -> 
  -2/a^12 + 5/a^10 - 4/a^8 + a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^12 + 
   (14*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (12*z^4)/a^10 - (22*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 55950] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   13*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 17*z^4 + 
   (7*z^4)/a^2 + a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55951] -> 
  -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 5*z^2 + 11*a^2*z^2 + 6*a^4*z^2 - 
   17*a^6*z^2 + 7*a^8*z^2 - 8*z^4 + 17*a^2*z^4 + 6*a^4*z^4 - 21*a^6*z^4 + 
   5*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55952] -> -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 
   z^2/a^2 + 6*a^2*z^2 - 7*a^6*z^2 + 3*a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   7*a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 55953] -> -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - 3*z^2 + 
   7*a^2*z^2 + 5*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 8*a^2*z^4 + 
   7*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 7*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 55954] -> a^(-8) - 5/a^6 + 6/a^4 - 
   a^(-2) - 4*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + (18*z^2)/a^4 + (2*z^2)/a^2 - 
   8*z^4 + (4*z^4)/a^8 - (26*z^4)/a^6 + (29*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55955] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (3*z^2)/a^12 - (18*z^2)/a^10 + (20*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (21*z^4)/a^10 + (31*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (13*z^6)/a^10 + (25*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 55956] -> 3 - 4/a^6 + 10/a^4 - 8/a^2 + 
   16*z^2 - (9*z^2)/a^6 + (38*z^2)/a^4 - (43*z^2)/a^2 + 27*z^4 - 
   (8*z^4)/a^6 + (52*z^4)/a^4 - (78*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + 
   (36*z^6)/a^4 - (71*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 55957] -> -2/a^10 + 6/a^8 - 6/a^6 + a^(-4) + 2/a^2 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (19*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (32*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55958] -> -3/a^14 + 12/a^12 - 17/a^10 + 
   7/a^8 + 2/a^6 - (5*z^2)/a^14 + (25*z^2)/a^12 - (38*z^2)/a^10 + 
   (16*z^2)/a^8 + (7*z^2)/a^6 - (4*z^4)/a^14 + (27*z^4)/a^12 - 
   (41*z^4)/a^10 + (10*z^4)/a^8 + (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - 
   (29*z^6)/a^10 - (2*z^6)/a^8 + (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 55959] -> -2/a^10 + 7/a^8 - 10/a^6 + 6/a^4 - 
   (9*z^2)/a^10 + (37*z^2)/a^8 - (47*z^2)/a^6 + (21*z^2)/a^4 - 
   (10*z^4)/a^10 + (57*z^4)/a^8 - (83*z^4)/a^6 + (29*z^4)/a^4 - 
   (5*z^6)/a^10 + (40*z^6)/a^8 - (73*z^6)/a^6 + (20*z^6)/a^4 - z^8/a^10 + 
   (14*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 55960] -> 
  -2/a^10 + 5/a^8 - 3/a^6 - 2/a^4 + 3/a^2 - (4*z^2)/a^10 + (15*z^2)/a^8 - 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - 
   (12*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55961] -> 4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + 
   (9*z^2)/a^8 - (47*z^2)/a^6 + (68*z^2)/a^4 - (24*z^2)/a^2 + (8*z^4)/a^8 - 
   (57*z^4)/a^6 + (97*z^4)/a^4 - (32*z^4)/a^2 + (4*z^6)/a^8 - (37*z^6)/a^6 + 
   (78*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55962] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 4*z^2 + 
   (6*z^2)/a^8 - (25*z^2)/a^6 + (29*z^2)/a^4 - (2*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (29*z^4)/a^6 + (37*z^4)/a^4 + (5*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (29*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55963] -> -5/a^6 + 13/a^4 - 9/a^2 + 2*a^2 - 5*z^2 - 
   (9*z^2)/a^6 + (38*z^2)/a^4 - (33*z^2)/a^2 + 9*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (40*z^4)/a^4 - (50*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (18*z^6)/a^4 - (38*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 55964] -> -3/a^10 + 10/a^8 - 11/a^6 + 3/a^4 + 2/a^2 - 
   (6*z^2)/a^10 + (28*z^2)/a^8 - (30*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (30*z^4)/a^8 - (40*z^4)/a^6 - (8*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (30*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55965] -> -2/a^8 + 2/a^6 + 5/a^4 - 6/a^2 + 
   2*a^2 - z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 + (6*z^2)/a^4 - (18*z^2)/a^2 + 
   5*a^2*z^2 - 3*z^4 - z^4/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - (22*z^4)/a^2 + 
   4*a^2*z^4 - 3*z^6 + (3*z^6)/a^6 - (6*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - 
   z^8 - (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 55966] -> 
  -3/a^8 + 4/a^6 - (2*z^2)/a^14 + (3*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (7*z^4)/a^12 - (8*z^4)/a^8 + 
   (4*z^4)/a^6 + (3*z^4)/a^4 + (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 55967] -> 2 - 6/a^6 + 17/a^4 - 14/a^2 + 2*a^2 - 
   3*z^2 - (9*z^2)/a^6 + (41*z^2)/a^4 - (39*z^2)/a^2 + 9*a^2*z^2 - 12*z^4 - 
   (5*z^4)/a^6 + (40*z^4)/a^4 - (52*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (18*z^6)/a^4 - (38*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 55968] -> -3/a^8 + 6/a^6 - 4/a^2 + 2*a^2 - z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (16*z^2)/a^2 + 5*a^2*z^2 - 3*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (5*z^4)/a^4 - (22*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^6 - (6*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 55969] -> 
  -3/a^10 + 7/a^8 - 5/a^6 + 2/a^2 - (6*z^2)/a^10 + (23*z^2)/a^8 - 
   (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (31*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55970] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + 
   (10*z^2)/a^8 - (39*z^2)/a^6 + (49*z^2)/a^4 - (16*z^2)/a^2 + (11*z^4)/a^8 - 
   (59*z^4)/a^6 + (82*z^4)/a^4 - (27*z^4)/a^2 + (5*z^6)/a^8 - (41*z^6)/a^6 + 
   (72*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55971] -> 4/a^8 - 16/a^6 + 19/a^4 - 6/a^2 + 
   (12*z^2)/a^8 - (50*z^2)/a^6 + (64*z^2)/a^4 - (21*z^2)/a^2 + (13*z^4)/a^8 - 
   (67*z^4)/a^6 + (93*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 55972] -> 2/a^14 - 7/a^12 + 8/a^10 - 6/a^8 + 4/a^6 - 
   z^2/a^14 - (8*z^2)/a^12 + (21*z^2)/a^10 - (16*z^2)/a^8 + (9*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (2*z^4)/a^12 + (17*z^4)/a^10 - (18*z^4)/a^8 + 
   (6*z^4)/a^6 + (3*z^4)/a^4 + (2*z^6)/a^12 + (2*z^6)/a^10 - (12*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - z^8/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 55973] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 2*z^2 - 
   (3*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 - (6*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55974] -> 9 - 2/a^4 - 8*a^2 + 2*a^4 + 18*z^2 - 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 22*a^2*z^2 + 7*a^4*z^2 + 11*z^4 - 
   (4*z^4)/a^4 + (13*z^4)/a^2 - 25*a^2*z^4 + 9*a^4*z^4 - 2*z^6 - z^6/a^4 + 
   (9*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 55975] -> 
  -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 - (3*z^2)/a^8 + (8*z^2)/a^6 - 
   (3*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (2*z^4)/a^4 - 
   (10*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 55976] -> -3 - 2/a^8 + 4/a^6 - 2/a^4 + 
   2/a^2 + 2*a^2 - 10*z^2 - (3*z^2)/a^8 + (14*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - z^4/a^8 + (12*z^4)/a^6 - (22*z^4)/a^4 + 
   (11*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (14*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55977] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (4*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 55978] -> 2/a^10 - 7/a^8 + 6/a^6 + (5*z^2)/a^10 - 
   (18*z^2)/a^8 + (15*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (18*z^4)/a^6 + (13*z^4)/a^4 - (8*z^4)/a^2 + z^6/a^10 - 
   (11*z^6)/a^8 + (14*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 55979] -> -6 + a^(-6) - 5/a^4 + 8/a^2 + 5*a^2 - 
   2*a^4 - 20*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (25*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 55980] -> -3 - a^(-4) + 4/a^2 + 2*a^2 - 3*a^4 + 
   2*a^6 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 55981] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 2*a^8 - 3*z^2 - 
   z^2/a^2 + 20*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - 2*z^4 - 
   (2*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 - a^6*z^4 + a^8*z^4 + z^6 - 
   z^6/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 55982] -> -2 + 6*a^2 - a^4 - 4*a^6 + 2*a^8 - 6*z^2 + 
   16*a^2*z^2 - 3*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 7*z^4 + 18*a^2*z^4 - 
   15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 55983] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - z^2 - 
   2*a^2*z^2 + 19*a^4*z^2 - 21*a^6*z^2 + 6*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 
   14*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 8*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 55984] -> -a^(-4) + 2/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 55985] -> 2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (8*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 55986] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 
   2*a^4 - 16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 
   2*a^6*z^2 - 17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + 
   a^6*z^4 - 10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 55987] -> 
  -a^(-18) + 8/a^16 - 15/a^14 + 5/a^12 + 4/a^10 + (9*z^2)/a^16 - 
   (38*z^2)/a^14 + (24*z^2)/a^12 + (15*z^2)/a^10 + (2*z^2)/a^8 - 
   (28*z^4)/a^14 + (40*z^4)/a^12 + (24*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   (4*z^6)/a^14 + (27*z^6)/a^12 + (17*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 55988] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 11*z^2 - (9*z^2)/a^6 + (32*z^2)/a^4 - 
   (31*z^2)/a^2 + 23*z^4 - (10*z^4)/a^6 + (52*z^4)/a^4 - (67*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 55989] -> -3/a^10 + 11/a^8 - 15/a^6 + 
   8/a^4 - (8*z^2)/a^10 + (39*z^2)/a^8 - (54*z^2)/a^6 + (24*z^2)/a^4 - 
   (9*z^4)/a^10 + (55*z^4)/a^8 - (87*z^4)/a^6 + (30*z^4)/a^4 - (5*z^6)/a^10 + 
   (39*z^6)/a^8 - (74*z^6)/a^6 + (20*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - 
   (35*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 55990] -> -2/a^10 + 4/a^8 + a^(-6) - 
   7/a^4 + 5/a^2 - (4*z^2)/a^10 + (16*z^2)/a^8 - (5*z^2)/a^6 - (19*z^2)/a^4 + 
   (12*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - (14*z^4)/a^6 - (25*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - (12*z^6)/a^6 - (17*z^6)/a^4 + 
   (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 55991] -> 
  3/a^8 - 13/a^6 + 16/a^4 - 5/a^2 + (9*z^2)/a^8 - (41*z^2)/a^6 + 
   (56*z^2)/a^4 - (19*z^2)/a^2 + (10*z^4)/a^8 - (57*z^4)/a^6 + (86*z^4)/a^4 - 
   (28*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + (73*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 55992] -> 
  3 - a^(-8) - a^(-6) + 7/a^4 - 7/a^2 + 9*z^2 - (3*z^2)/a^8 + (5*z^2)/a^6 + 
   (13*z^2)/a^4 - (22*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 + 
   (5*z^4)/a^4 - (27*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 55993] -> -2 - 2/a^8 + 4/a^6 - a^(-4) + 
   2*a^2 - 9*z^2 - z^2/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 
   5*a^2*z^2 - 14*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (3*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55994] -> -3/a^10 + 9/a^8 - 7/a^6 - 2/a^4 + 4/a^2 - 
   (6*z^2)/a^10 + (28*z^2)/a^8 - (24*z^2)/a^6 - (11*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^10 + (32*z^4)/a^8 - (40*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (33*z^6)/a^6 - (15*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 55995] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   7*z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (15*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 55996] -> -2 + 4/a^8 - 15/a^6 + 15/a^4 - a^(-2) - 
   7*z^2 + (8*z^2)/a^8 - (37*z^2)/a^6 + (42*z^2)/a^4 - 9*z^4 + (5*z^4)/a^8 - 
   (37*z^4)/a^6 + (51*z^4)/a^4 + (6*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (17*z^6)/a^6 + (35*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (13*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 55997] -> -2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 + 
   a^(-2) + 2*a^2 - 5*z^2 + (3*z^2)/a^8 - (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   6*z^4 - z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + z^6/a^6 + (5*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 55998] -> 2 - 3/a^10 + 8/a^8 - 5/a^6 - 
   a^(-4) + 5*z^2 - (3*z^2)/a^10 + (17*z^2)/a^8 - (13*z^2)/a^6 - 
   (5*z^2)/a^4 - (3*z^2)/a^2 + 4*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (16*z^4)/a^6 - (11*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 55999] -> 1 - a^(-8) + a^(-6) + 3/a^4 - 
   4/a^2 + a^2 - 2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - 
   (10*z^2)/a^2 + 3*a^2*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - 
   (11*z^4)/a^2 + 3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + 
   a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 56000] -> 
  3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + (10*z^2)/a^12 - (36*z^2)/a^10 + 
   (34*z^2)/a^8 - (3*z^2)/a^6 + (12*z^4)/a^12 - (56*z^4)/a^10 + 
   (68*z^4)/a^8 - (16*z^4)/a^6 + (6*z^6)/a^12 - (42*z^6)/a^10 + 
   (64*z^6)/a^8 - (17*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + (33*z^8)/a^8 - 
   (7*z^8)/a^6 - (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 56001] -> 2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + 
   (5*z^2)/a^12 - (17*z^2)/a^10 + (14*z^2)/a^8 + z^2/a^6 + z^2/a^4 + 
   (4*z^4)/a^12 - (19*z^4)/a^10 + (16*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + 
   z^6/a^12 - (10*z^6)/a^10 + (11*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56002] -> -4*a^2 + 17*a^4 - 18*a^6 + 6*a^8 - 
   14*a^2*z^2 + 53*a^4*z^2 - 55*a^6*z^2 + 17*a^8*z^2 - 22*a^2*z^4 + 
   76*a^4*z^4 - 73*a^6*z^4 + 17*a^8*z^4 - 18*a^2*z^6 + 65*a^4*z^6 - 
   49*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 56003] -> -3 + 10*a^2 - 6*a^4 - 2*a^6 + 2*a^8 - 
   8*z^2 + 23*a^2*z^2 - 9*a^4*z^2 - 13*a^6*z^2 + 7*a^8*z^2 - 9*z^4 + 
   23*a^2*z^4 - a^4*z^4 - 20*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 
   7*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56004] -> 
  -1 + 2*a^2 + 6*a^4 - 10*a^6 + 4*a^8 - 3*z^2 + 5*a^2*z^2 + 13*a^4*z^2 - 
   23*a^6*z^2 + 8*a^8*z^2 - 5*z^4 + 8*a^2*z^4 + 13*a^4*z^4 - 23*a^6*z^4 + 
   5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56005] -> 2 - a^(-2) + 2*a^2 - a^4 - 3*a^6 + 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 
   2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 56006] -> -1 - a^(-8) + 3/a^6 - a^(-4) - 
   a^(-2) + 2*a^2 - 9*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (16*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (12*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 56007] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56008] -> 4 - 12*a^2 + 15*a^4 - 6*a^6 + 16*z^2 - 
   52*a^2*z^2 + 56*a^4*z^2 - 17*a^6*z^2 + 25*z^4 - 83*a^2*z^4 + 76*a^4*z^4 - 
   17*a^6*z^4 + 19*z^6 - 70*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56009] -> a^(-2) - 5*a^2 + 9*a^4 - 4*a^6 - 
   5*z^2 + (4*z^2)/a^2 - 13*a^2*z^2 + 24*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + 
   (6*z^4)/a^2 - 15*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56010] -> 
  -1 + a^(-2) - a^2 + 4*a^4 - 2*a^6 - 10*z^2 + (5*z^2)/a^2 - 2*a^2*z^2 + 
   13*a^4*z^2 - 5*a^6*z^2 - 16*z^4 + (7*z^4)/a^2 - 4*a^2*z^4 + 16*a^4*z^4 - 
   4*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56011] -> 1 + 4/a^4 - 8/a^2 + 8*a^2 - 4*a^4 + 4*z^2 + 
   (12*z^2)/a^4 - (28*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 + (13*z^4)/a^4 - 
   (34*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (6*z^6)/a^4 - 
   (21*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56012] -> 
  4 + a^(-6) + a^(-4) - 6/a^2 + 3*a^2 - 2*a^4 + 7*z^2 + (3*z^2)/a^6 - 
   (2*z^2)/a^4 - (12*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (11*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 56013] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 7*z^2 - 
   (3*z^2)/a^8 + (7*z^2)/a^6 + (4*z^2)/a^4 - (15*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 + (2*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56014] -> 1 - a^(-8) + a^(-6) + 3/a^4 - 4/a^2 + a^2 - 
   2*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (10*z^2)/a^2 + 
   3*a^2*z^2 - 4*z^4 - z^4/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 - (11*z^4)/a^2 + 
   3*a^2*z^4 - 3*z^6 + (2*z^6)/a^6 - z^6/a^4 - (7*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 56015] -> 
  -3/a^10 + 10/a^8 - 11/a^6 + 3/a^4 + 2/a^2 - (8*z^2)/a^10 + (28*z^2)/a^8 - 
   (24*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - (9*z^4)/a^10 + (28*z^4)/a^8 - 
   (17*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56016] -> 
  -2/a^10 + 6/a^8 - 4/a^6 - 3/a^4 + 4/a^2 + 2*z^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56017] -> 
  4 - 12*a^2 + 15*a^4 - 6*a^6 + 16*z^2 - 52*a^2*z^2 + 56*a^4*z^2 - 
   17*a^6*z^2 + 25*z^4 - 83*a^2*z^4 + 76*a^4*z^4 - 17*a^6*z^4 + 19*z^6 - 
   70*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56018] -> a^(-2) - 5*a^2 + 9*a^4 - 4*a^6 - 5*z^2 + 
   (4*z^2)/a^2 - 13*a^2*z^2 + 24*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (6*z^4)/a^2 - 
   15*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56019] -> -a^(-10) + 2/a^8 + a^(-6) - 
   5/a^4 + 4/a^2 + 2*z^2 - (2*z^2)/a^10 + (4*z^2)/a^8 + (6*z^2)/a^6 - 
   (13*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + z^4/a^8 + (10*z^4)/a^6 - 
   (12*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + z^6/a^8 + (9*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56020] -> 5 - 16*a^2 + 20*a^4 - 8*a^6 + 20*z^2 - 
   64*a^2*z^2 + 68*a^4*z^2 - 20*a^6*z^2 + 29*z^4 - 96*a^2*z^4 + 85*a^4*z^4 - 
   18*a^6*z^4 + 20*z^6 - 76*a^2*z^6 + 52*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   35*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56021] -> -4 + 2/a^2 + 7*a^4 - 4*a^6 - 
   17*z^2 + (8*z^2)/a^2 - a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 23*z^4 + 
   (10*z^4)/a^2 - 6*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 
   9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56022] -> 
  -4 - a^(-8) + a^(-6) + 2/a^4 + 3*a^2 - 14*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - z^4/a^8 + (8*z^4)/a^6 - 
   (14*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56023] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (5*z^2)/a^10 + (16*z^2)/a^8 - 
   (9*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (24*z^4)/a^8 - 
   (22*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (23*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56024] -> -3/a^10 + 6/a^8 - a^(-6) - 5/a^4 + 4/a^2 - 
   (6*z^2)/a^10 + (24*z^2)/a^8 - (15*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (29*z^4)/a^8 - (33*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56025] -> 2 - 2/a^12 + 4/a^10 - 2/a^8 + 
   a^(-6) - a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (9*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56026] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 56027] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + z^2 - (3*z^2)/a^6 + (12*z^2)/a^4 - 
   (14*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - (4*z^4)/a^6 + (12*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56028] -> -2 + 7*a^2 - 5*a^4 + a^6 - 
   5*z^2 + 16*a^2*z^2 - 8*a^4*z^2 - 5*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 
   16*a^2*z^4 - 3*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 
   4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56029] -> 
  3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^2 + a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 
   2*a^8*z^2 + 3*z^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + 
   a^8*z^4 + 2*z^6 - z^6/a^2 + 5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 56030] -> 1 - 2/a^6 + 8/a^4 - 8/a^2 + 
   2*a^2 - 7*z^2 - (6*z^2)/a^6 + (19*z^2)/a^4 - (15*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 - (7*z^4)/a^6 + (19*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56031] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 + 
   (5*z^2)/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + (6*z^4)/a^4 - 
   (17*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56032] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 56033] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56034] -> a^(-6) - 3/a^4 + 3/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56035] -> 
  -2 + a^(-4) - a^(-2) + 5*a^2 - 2*a^4 - 2*z^2 + (4*z^2)/a^4 - (9*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 2*z^4 + (6*z^4)/a^4 - (14*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56036] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 33*z^2 + 
   (9*z^2)/a^4 - (31*z^2)/a^2 - 11*a^2*z^2 + 53*z^4 + (16*z^4)/a^4 - 
   (54*z^4)/a^2 - 13*a^2*z^4 + 39*z^6 + (14*z^6)/a^4 - (50*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56037] -> 
  2 + 2/a^8 - 5/a^6 + 5/a^4 - 3/a^2 - z^2 + (6*z^2)/a^8 - (17*z^2)/a^6 + 
   (12*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + (7*z^4)/a^8 - (21*z^4)/a^6 + 
   (9*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (13*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56038] -> 
  7 + 2/a^4 - 6/a^2 - 2*a^2 + 12*z^2 + (6*z^2)/a^4 - (18*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 5*z^4 + (7*z^4)/a^4 - (19*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56039] -> 2 - 4/a^10 + 10/a^8 - 7/a^6 + a^(-4) - 
   a^(-2) + 5*z^2 - (4*z^2)/a^10 + (21*z^2)/a^8 - (17*z^2)/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (14*z^4)/a^8 - (19*z^4)/a^6 - 
   (9*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (10*z^6)/a^6 - 
   (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 56040] -> 2 - 2/a^12 + 3/a^10 + 2/a^8 - 4/a^6 + 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (7*z^2)/a^10 + (2*z^2)/a^8 - 
   (9*z^2)/a^6 - (2*z^2)/a^4 - z^2/a^2 + z^4 + (3*z^4)/a^10 - (3*z^4)/a^8 - 
   (11*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - (2*z^6)/a^8 - (4*z^6)/a^6 - 
   (3*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 56041] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 7*z^2 + (2*z^2)/a^6 - (9*z^2)/a^4 + 
   (10*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (10*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56042] -> -8 - a^(-4) + 6/a^2 + 4*a^2 - 20*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56043] -> 
  -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 
   5*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 
   8*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56044] -> -1 + 3*a^2 - a^6 - 4*z^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 15*a^2*z^4 - 2*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56045] -> -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 56046] -> 6 - a^(-2) - 5*a^2 - a^4 + 2*a^6 + 16*z^2 - 
   (5*z^2)/a^2 - 11*a^2*z^2 - 11*a^4*z^2 + 7*a^6*z^2 + 19*z^4 - (8*z^4)/a^2 - 
   4*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 6*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 56047] -> 4 - 4*a^2 - a^4 + 2*a^6 + 
   6*z^2 - z^2/a^4 - 8*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - 
   (2*z^4)/a^4 + z^4/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - 
   z^6/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 56048] -> a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (15*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56049] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 56050] -> -6 - a^(-4) + 4/a^2 + 6*a^2 - 2*a^4 - 
   16*z^2 - (2*z^2)/a^4 + (9*z^2)/a^2 + 16*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   17*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 + 18*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   10*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 56051] -> 
  -a^(-4) + 2/a^2 - 4*z^2 + (2*z^2)/a^8 - (4*z^2)/a^6 - (2*z^2)/a^4 + 
   (9*z^2)/a^2 - 4*z^4 + (5*z^4)/a^8 - (10*z^4)/a^6 - (3*z^4)/a^4 + 
   (14*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56052] -> 
  2 + a^(-8) - 4/a^6 + 6/a^4 - 4/a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (8*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - 
   (4*z^4)/a^6 + z^4/a^4 - z^4/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (2*z^6)/a^6 - (4*z^6)/a^4 - z^6/a^2 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 56053] -> -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + 
   (3*z^2)/a^8 - (4*z^2)/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (12*z^4)/a^6 - (6*z^4)/a^4 + (16*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56054] -> 4 - 6/a^6 + 15/a^4 - 12/a^2 + 20*z^2 - 
   (17*z^2)/a^6 + (60*z^2)/a^4 - (60*z^2)/a^2 + 33*z^4 - (17*z^4)/a^6 + 
   (84*z^4)/a^4 - (103*z^4)/a^2 + 24*z^6 - (7*z^6)/a^6 + (55*z^6)/a^4 - 
   (88*z^6)/a^2 + 8*z^8 - z^8/a^6 + (17*z^8)/a^4 - (41*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56055] -> 
  4 - 2/a^8 + a^(-6) + 7/a^4 - 9/a^2 + 12*z^2 - (5*z^2)/a^8 + (11*z^2)/a^6 + 
   (12*z^2)/a^4 - (28*z^2)/a^2 + 13*z^4 - (4*z^4)/a^8 + (17*z^4)/a^6 + 
   (2*z^4)/a^4 - (34*z^4)/a^2 + 6*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (7*z^6)/a^4 - (21*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 56056] -> 
  7 - 8/a^6 + 22/a^4 - 20/a^2 + 29*z^2 - (20*z^2)/a^6 + (77*z^2)/a^4 - 
   (84*z^2)/a^2 + 41*z^4 - (18*z^4)/a^6 + (97*z^4)/a^4 - (129*z^4)/a^2 + 
   26*z^6 - (7*z^6)/a^6 + (58*z^6)/a^4 - (100*z^6)/a^2 + 8*z^8 - z^8/a^6 + 
   (17*z^8)/a^4 - (43*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56057] -> 4 - 4/a^8 + 8/a^6 - a^(-4) - 
   6/a^2 + 12*z^2 - (8*z^2)/a^8 + (28*z^2)/a^6 - (12*z^2)/a^4 - 
   (19*z^2)/a^2 + 13*z^4 - (5*z^4)/a^8 + (30*z^4)/a^6 - (24*z^4)/a^4 - 
   (26*z^4)/a^2 + 6*z^6 - z^6/a^8 + (13*z^6)/a^6 - (19*z^6)/a^4 - 
   (19*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (7*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 56058] -> 4 - 2/a^10 + 3/a^8 + 2/a^4 - 
   6/a^2 + 8*z^2 - (3*z^2)/a^10 + (11*z^2)/a^8 - (2*z^2)/a^6 - z^2/a^4 - 
   (13*z^2)/a^2 + 5*z^4 - z^4/a^10 + (9*z^4)/a^8 - (7*z^4)/a^6 - 
   (7*z^4)/a^4 - (13*z^4)/a^2 + z^6 + (2*z^6)/a^8 - (5*z^6)/a^6 - 
   (5*z^6)/a^4 - (6*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 56059] -> -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 
   14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 
   15*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 56060] -> 
  2 - 8*a^2 + 13*a^4 - 6*a^6 + 13*z^2 - 44*a^2*z^2 + 53*a^4*z^2 - 
   17*a^6*z^2 + 24*z^4 - 78*a^2*z^4 + 75*a^4*z^4 - 17*a^6*z^4 + 19*z^6 - 
   69*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56061] -> -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 12*z^2 + 
   (6*z^2)/a^2 - 3*a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 19*z^4 + (9*z^4)/a^2 - 
   7*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56062] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 
   45*z^2 + (9*z^2)/a^4 - (35*z^2)/a^2 - 16*a^2*z^2 + 70*z^4 + (20*z^4)/a^4 - 
   (66*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + (18*z^6)/a^4 - (63*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56063] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 17*z^2 + (6*z^2)/a^4 - (19*z^2)/a^2 + 
   2*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + (9*z^4)/a^4 - (24*z^4)/a^2 + 12*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56064] -> 7 - a^(-2) - 9*a^2 + 4*a^4 + 35*z^2 - 
   (9*z^2)/a^2 - 45*a^2*z^2 + 16*a^4*z^2 + 66*z^4 - (20*z^4)/a^2 - 
   70*a^2*z^4 + 17*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 49*a^2*z^6 + 7*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56065] -> 
  5 - 8*a^2 + 4*a^4 + 10*z^2 - (2*z^2)/a^4 + (2*z^2)/a^2 - 22*a^2*z^2 + 
   8*a^4*z^2 + 12*z^4 - (5*z^4)/a^4 + (7*z^4)/a^2 - 23*a^2*z^4 + 5*a^4*z^4 + 
   10*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56066] -> -2*a^2 + 9*a^4 - 8*a^6 + 2*a^8 - 
   11*a^2*z^2 + 41*a^4*z^2 - 40*a^6*z^2 + 13*a^8*z^2 - 21*a^2*z^4 + 
   70*a^4*z^4 - 66*a^6*z^4 + 16*a^8*z^4 - 18*a^2*z^6 + 64*a^4*z^6 - 
   48*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 56067] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 2*z^2 + 
   2*a^2*z^2 + 14*a^4*z^2 - 19*a^6*z^2 + 7*a^8*z^2 - 5*z^4 + 7*a^2*z^4 + 
   13*a^4*z^4 - 22*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 10*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56068] -> 
  3 - 4*a^2 + 2*a^4 + 23*z^2 - (6*z^2)/a^2 - 30*a^2*z^2 + 11*a^4*z^2 + 
   49*z^4 - (15*z^4)/a^2 - 52*a^2*z^4 + 13*a^4*z^4 + 49*z^6 - (14*z^6)/a^2 - 
   39*a^2*z^6 + 6*a^4*z^6 + 27*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 56069] -> 
  -a^(-6) + 5/a^4 - 5/a^2 + 2*a^2 - 9*z^2 - (5*z^2)/a^6 + (14*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (7*z^4)/a^6 + (17*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56070] -> 
  11 - 3/a^2 - 11*a^2 + 4*a^4 + 47*z^2 - (14*z^2)/a^2 - 50*a^2*z^2 + 
   16*a^4*z^2 + 79*z^4 - (24*z^4)/a^2 - 74*a^2*z^4 + 17*a^4*z^4 + 69*z^6 - 
   (19*z^6)/a^2 - 50*a^2*z^6 + 7*a^4*z^6 + 34*z^8 - (7*z^8)/a^2 - 
   16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56071] -> 7 - 2/a^2 - 4*a^2 - 2*a^4 + 2*a^6 + 19*z^2 - 
   (7*z^2)/a^2 - 8*a^2*z^2 - 13*a^4*z^2 + 7*a^6*z^2 + 22*z^4 - (9*z^4)/a^2 - 
   a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 56072] -> 4 - 3/a^6 + 9/a^4 - 9/a^2 + 
   17*z^2 - (10*z^2)/a^6 + (40*z^2)/a^4 - (47*z^2)/a^2 + 27*z^4 - 
   (11*z^4)/a^6 + (59*z^4)/a^4 - (82*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + 
   (41*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56073] -> -a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + 
   a^(-4) + 2/a^2 - z^2/a^12 + (4*z^2)/a^10 + (3*z^2)/a^8 - (9*z^2)/a^6 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 + (4*z^4)/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 + 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 - z^6/a^6 - (8*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 56074] -> -2 - a^(-8) + 4/a^4 - 2/a^2 + 
   2*a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 + (4*z^2)/a^4 - (5*z^2)/a^2 + 
   5*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - z^4/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - 
   8*z^6 - (2*z^6)/a^6 + z^6/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56075] -> -4 - a^(-8) + a^(-6) + 2/a^4 + 3*a^2 - 
   14*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   6*a^2*z^2 - 17*z^4 - z^4/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (13*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56076] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 2*z^2 + 
   z^2/a^10 - (13*z^2)/a^6 + (21*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 - z^4/a^8 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (3*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56077] -> 5 - 7/a^6 + 18/a^4 - 15/a^2 + 19*z^2 - 
   (15*z^2)/a^6 + (56*z^2)/a^4 - (57*z^2)/a^2 + 28*z^4 - (14*z^4)/a^6 + 
   (71*z^4)/a^4 - (89*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (46*z^6)/a^4 - 
   (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56078] -> 
  13 - 2/a^4 - a^(-2) - 13*a^2 + 4*a^4 + 20*z^2 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   29*a^2*z^2 + 10*a^4*z^2 + 9*z^4 - (4*z^4)/a^4 + (14*z^4)/a^2 - 
   29*a^2*z^4 + 10*a^4*z^4 - 3*z^6 - z^6/a^4 + (9*z^6)/a^2 - 17*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56079] -> 2 - 5/a^6 + 11/a^4 - 7/a^2 + 13*z^2 - 
   (14*z^2)/a^6 + (46*z^2)/a^4 - (41*z^2)/a^2 + 24*z^4 - (14*z^4)/a^6 + 
   (66*z^4)/a^4 - (75*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56080] -> 
  2 - 2/a^8 + 2/a^6 + 3/a^4 - 4/a^2 + 7*z^2 - (5*z^2)/a^8 + (13*z^2)/a^6 + 
   (2*z^2)/a^4 - (14*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - 
   (6*z^4)/a^4 - (20*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 56081] -> 
  5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + (14*z^2)/a^8 - (55*z^2)/a^6 + 
   (66*z^2)/a^4 - (21*z^2)/a^2 + (14*z^4)/a^8 - (71*z^4)/a^6 + (94*z^4)/a^4 - 
   (29*z^4)/a^2 + (6*z^6)/a^8 - (46*z^6)/a^6 + (75*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56082] -> 
  2 - 4/a^8 + 9/a^6 - 5/a^4 - a^(-2) + 7*z^2 - (6*z^2)/a^8 + (23*z^2)/a^6 - 
   (14*z^2)/a^4 - (8*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (23*z^4)/a^6 - 
   (20*z^4)/a^4 - (16*z^4)/a^2 + 5*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (15*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 56083] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (5*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (7*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - z^6 - (3*z^6)/a^8 + 
   (10*z^6)/a^6 - (6*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 56084] -> 
  3 - 12*a^2 + 18*a^4 - 8*a^6 + 15*z^2 - 52*a^2*z^2 + 63*a^4*z^2 - 
   20*a^6*z^2 + 25*z^4 - 83*a^2*z^4 + 81*a^4*z^4 - 18*a^6*z^4 + 19*z^6 - 
   70*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56085] -> -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 14*z^2 + 
   (6*z^2)/a^2 + 2*a^2*z^2 + 19*a^4*z^2 - 8*a^6*z^2 - 20*z^4 + (9*z^4)/a^2 - 
   3*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56086] -> -1 + a^(-2) - 5*a^2 + 12*a^4 - 
   6*a^6 - 11*z^2 + (6*z^2)/a^2 - 7*a^2*z^2 + 26*a^4*z^2 - 9*a^6*z^2 - 
   19*z^4 + (9*z^4)/a^2 - 8*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56087] -> 
  -7 + 2/a^2 + 8*a^2 - 2*a^6 - 14*z^2 + (2*z^2)/a^4 + z^2/a^2 + 14*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (3*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 
   6*a^4*z^4 - a^6*z^4 - 8*z^6 + z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 
   2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 56088] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 - z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56089] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 5*z^2 + 
   (6*z^2)/a^8 - (16*z^2)/a^6 + (8*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (18*z^4)/a^6 + z^4/a^4 + (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (12*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56090] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 45*z^2 + 
   (9*z^2)/a^4 - (35*z^2)/a^2 - 15*a^2*z^2 + 59*z^4 + (16*z^4)/a^4 - 
   (55*z^4)/a^2 - 14*a^2*z^4 + 40*z^6 + (14*z^6)/a^4 - (50*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56091] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56092] -> 
  6 - a^(-2) - 5*a^2 - a^4 + 2*a^6 + 16*z^2 - (5*z^2)/a^2 - 11*a^2*z^2 - 
   11*a^4*z^2 + 7*a^6*z^2 + 19*z^4 - (8*z^4)/a^2 - 4*a^2*z^4 - 19*a^4*z^4 + 
   5*a^6*z^4 + 14*z^6 - (5*z^6)/a^2 + 6*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56093] -> 4 - 4*a^2 - a^4 + 2*a^6 + 6*z^2 - z^2/a^4 - 
   8*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 + z^4/a^2 - 
   4*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 56094] -> a^(-8) - 4/a^6 + 4/a^4 - 4*z^2 + 
   (4*z^2)/a^8 - (12*z^2)/a^6 + (8*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (15*z^4)/a^6 + (3*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56095] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) + z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 + (5*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + 
   (2*z^4)/a^8 - (3*z^4)/a^6 - (4*z^4)/a^4 + (5*z^4)/a^2 - a^2*z^4 + 2*z^6 + 
   z^6/a^8 - (2*z^6)/a^6 - (5*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 56096] -> -1 + 3*a^2 - a^6 - 4*z^2 + 12*a^2*z^2 - 
   3*a^4*z^2 - 6*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 15*a^2*z^4 - 2*a^4*z^4 - 
   13*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56097] -> -1 + 4*a^2 - 2*a^4 + z^2 - z^2/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   5*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 56098] -> -2 - a^(-4) + 3/a^2 + a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 12*z^4 - 
   (2*z^4)/a^4 + (8*z^4)/a^2 + 12*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 - 9*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 56099] -> 
  a^(-6) - 3/a^4 + 3/a^2 - 3*z^2 + z^2/a^2 + 2*a^2*z^2 - 8*z^4 - 
   (3*z^4)/a^6 + (6*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56100] -> 
  -1 + 3*a^2 - a^6 - 5*z^2 + 13*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 
   7*z^4 + 17*a^2*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 
   5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56101] -> 
  8 - 3/a^6 + 13/a^4 - 17/a^2 + 20*z^2 - (15*z^2)/a^6 + (53*z^2)/a^4 - 
   (62*z^2)/a^2 + 18*z^4 - (25*z^4)/a^6 + (83*z^4)/a^4 - (81*z^4)/a^2 + 
   7*z^6 - (19*z^6)/a^6 + (70*z^6)/a^4 - (51*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (34*z^8)/a^4 - (16*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56102] -> -5 - a^(-6) + 4/a^4 - a^(-2) + 
   4*a^2 - 20*z^2 - (6*z^2)/a^6 + (13*z^2)/a^4 + 8*a^2*z^2 - 23*z^4 - 
   (9*z^4)/a^6 + (19*z^4)/a^4 + (6*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56103] -> 7 - 2/a^2 - 6*a^2 + 2*a^4 + 31*z^2 - 
   (9*z^2)/a^2 - 33*a^2*z^2 + 11*a^4*z^2 + 54*z^4 - (16*z^4)/a^2 - 
   53*a^2*z^4 + 13*a^4*z^4 + 50*z^6 - (14*z^6)/a^2 - 39*a^2*z^6 + 6*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56104] -> 
  -a^(-10) + 3/a^6 - 3/a^4 + 2/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + 
   (3*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - 
   (3*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - 
   (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56105] -> -4/a^6 + 7/a^4 - 2/a^2 + 8*z^2 - 
   (12*z^2)/a^6 + (36*z^2)/a^4 - (27*z^2)/a^2 + 20*z^4 - (13*z^4)/a^6 + 
   (58*z^4)/a^4 - (61*z^4)/a^2 + 18*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - 
   (62*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56106] -> 
  2 - a^(-8) - 2/a^6 + 8/a^4 - 6/a^2 + 7*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + 
   (16*z^2)/a^4 - (19*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + 
   (8*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 56107] -> -4 + a^(-2) + 5*a^2 + a^4 - 
   2*a^6 - 11*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 
   14*z^4 + (6*z^4)/a^2 + 15*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56108] -> 
  -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 8*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   17*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 17*a^4*z^4 - 
   4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56109] -> a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + z^2/a^8 + 
   (3*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + 
   (7*z^4)/a^6 - (11*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56110] -> 20 + 3/a^4 - 14/a^2 - 8*a^2 + 60*z^2 + 
   (12*z^2)/a^4 - (47*z^2)/a^2 - 20*a^2*z^2 + 77*z^4 + (21*z^4)/a^4 - 
   (72*z^4)/a^2 - 18*a^2*z^4 + 50*z^6 + (18*z^6)/a^4 - (64*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56111] -> 
  1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 11*z^2 + (6*z^2)/a^6 - (19*z^2)/a^4 + 
   (13*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (8*z^4)/a^6 - (20*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - (14*z^6)/a^4 - 
   (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 56112] -> 
  9 + 2/a^4 - 8/a^2 - 2*a^4 + 18*z^2 + (7*z^2)/a^4 - (22*z^2)/a^2 + 
   6*a^2*z^2 - 5*a^4*z^2 + 11*z^4 + (9*z^4)/a^4 - (25*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 2*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56113] -> 6 + a^(-6) - 3/a^4 - 3*a^2 + 12*z^2 + 
   (3*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 + 
   (3*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 56114] -> 8 + 3/a^4 - 9/a^2 + a^2 - 2*a^4 + 13*z^2 + 
   (7*z^2)/a^4 - (21*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 5*z^4 + (7*z^4)/a^4 - 
   (20*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56115] -> 
  a^(-2) + a^2 - 3*a^4 + 2*a^6 - 6*z^2 - z^2/a^4 + (3*z^2)/a^2 + 7*a^2*z^2 - 
   10*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 + 14*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 
   3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56116] -> a^(-6) - 3/a^4 + 3/a^2 - 6*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 2*a^4*z^2 - 12*z^4 + 
   (2*z^4)/a^6 - (8*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56117] -> 
  -2 + 7*a^2 - 5*a^4 + a^6 - 5*z^2 + 16*a^2*z^2 - 8*a^4*z^2 - 5*a^6*z^2 + 
   4*a^8*z^2 - 6*z^4 + 16*a^2*z^4 - 3*a^4*z^4 - 13*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56118] -> 3 - a^(-2) - a^2 + 5*z^2 - (2*z^2)/a^2 + 
   a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + 3*z^4 - (2*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   5*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 56119] -> 1 - 2/a^6 + 8/a^4 - 8/a^2 + 2*a^2 - 7*z^2 - 
   (6*z^2)/a^6 + (19*z^2)/a^4 - (15*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (7*z^4)/a^6 + (19*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56120] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 13*z^2 + 
   (5*z^2)/a^4 - (17*z^2)/a^2 + 3*a^2*z^2 - 4*a^4*z^2 + 7*z^4 + (6*z^4)/a^4 - 
   (17*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56121] -> 
  1 + a^(-6) - 2/a^4 + a^(-2) + 3*z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + 4*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - (4*z^6)/a^2 + 2*a^2*z^6 - 
   z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 56122] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + z^4/a^8 + (4*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   a^2*z^4 + 2*z^6 + z^6/a^8 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 56123] -> 
  -4 - 2/a^6 + 7/a^4 - 4/a^2 + 4*a^2 - 18*z^2 - (7*z^2)/a^6 + (18*z^2)/a^4 - 
   (6*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - (9*z^4)/a^6 + (21*z^4)/a^4 + 
   (2*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56124] -> 
  -1 - a^(-6) + 4/a^4 - 2/a^2 - a^2 + 2*a^4 - 4*z^2 - (3*z^2)/a^6 + 
   (5*z^2)/a^4 - 7*a^2*z^2 + 3*a^4*z^2 - z^4 - (3*z^4)/a^6 + (4*z^4)/a^4 + 
   (7*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - z^6/a^6 + (3*z^6)/a^4 + 
   (7*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 56125] -> -2 - a^(-4) + 3/a^2 + a^2 - 4*z^2 - 
   (3*z^2)/a^4 + (9*z^2)/a^2 - 6*a^2*z^2 + 4*a^4*z^2 - z^4 - (5*z^4)/a^4 + 
   (12*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56126] -> 
  -1 - a^(-4) + 3/a^2 - a^2 + a^4 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   4*a^2*z^2 - a^4*z^2 + 2*a^6*z^2 + z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 
   4*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 4*z^6 - z^6/a^4 + (2*z^6)/a^2 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 56127] -> 
  -6 + a^(-6) - a^(-4) + 2/a^2 + 7*a^2 - 2*a^4 - 18*z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 20*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56128] -> 
  -3/a^10 + 10/a^8 - 11/a^6 + 3/a^4 + 2/a^2 - (8*z^2)/a^10 + (28*z^2)/a^8 - 
   (24*z^2)/a^6 - (3*z^2)/a^4 + (7*z^2)/a^2 - (9*z^4)/a^10 + (28*z^4)/a^8 - 
   (17*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56129] -> 
  -2/a^10 + 6/a^8 - 4/a^6 - 3/a^4 + 4/a^2 + 2*z^2 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 - (2*z^2)/a^6 - (11*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (7*z^4)/a^8 + (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56130] -> 
  -3/a^10 + 9/a^8 - 7/a^6 - 2/a^4 + 4/a^2 - (8*z^2)/a^10 + (24*z^2)/a^8 - 
   (14*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - (9*z^4)/a^10 + (26*z^4)/a^8 - 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 + 
   (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56131] -> 2 - 2/a^10 + 6/a^8 - 5/a^6 + a^(-4) - 
   a^(-2) + 3*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 - 
   (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 + z^4/a^6 - (2*z^4)/a^4 - 
   (6*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 + z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56132] -> -1 + a^(-6) - 2/a^2 + 5*a^2 - 2*a^4 - 
   8*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 + 11*a^2*z^2 - 3*a^4*z^2 - 14*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 + (6*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 11*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56133] -> 
  -3/a^10 + 8/a^8 - 3/a^6 - 7/a^4 + 6/a^2 - (10*z^2)/a^10 + (27*z^2)/a^8 - 
   (10*z^2)/a^6 - (20*z^2)/a^4 + (11*z^2)/a^2 - (12*z^4)/a^10 + 
   (32*z^4)/a^8 - (6*z^4)/a^6 - (24*z^4)/a^4 + (6*z^4)/a^2 - (6*z^6)/a^10 + 
   (20*z^6)/a^8 + (5*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56134] -> 2 - 2/a^10 + 5/a^8 - a^(-6) - 4/a^4 + 
   a^(-2) + 3*z^2 - (5*z^2)/a^10 + (10*z^2)/a^8 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 - (2*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (8*z^4)/a^8 + 
   (8*z^4)/a^6 - (9*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (7*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56135] -> -1 - 6*a^2 + 22*a^4 - 18*a^6 + 4*a^8 - 
   4*z^2 - 14*a^2*z^2 + 62*a^4*z^2 - 44*a^6*z^2 + 8*a^8*z^2 - 6*z^4 - 
   8*a^2*z^4 + 71*a^4*z^4 - 42*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 3*a^2*z^6 + 
   43*a^4*z^6 - 18*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 14*a^4*z^8 - 
   3*a^6*z^8 + a^2*z^10 + 2*a^4*z^10, Knot[15, Alternating, 56136] -> 
  -4 + 6*a^2 + 5*a^4 - 8*a^6 + 2*a^8 - 8*z^2 - z^2/a^2 + 17*a^2*z^2 + 
   11*a^4*z^2 - 15*a^6*z^2 + 3*a^8*z^2 - 4*z^4 - (2*z^4)/a^2 + 20*a^2*z^4 + 
   11*a^4*z^4 - 11*a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 12*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 + z^8 + 3*a^2*z^8 + 2*a^4*z^8, 
 Knot[15, Alternating, 56137] -> -2 - 2/a^8 + 4/a^6 - a^(-4) + 2*a^2 - 
   9*z^2 - z^2/a^8 + (8*z^2)/a^6 - (6*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 + z^4/a^6 - (5*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (3*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56138] -> -2 - a^(-10) + a^(-8) + 2/a^6 - 2/a^4 + 
   a^(-2) + 2*a^2 - 5*z^2 + (3*z^2)/a^8 - (2*z^2)/a^4 - z^2/a^2 + 3*a^2*z^2 - 
   6*z^4 - z^4/a^8 - (3*z^4)/a^6 + z^4/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + z^6/a^6 + (5*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 56139] -> -2 - a^2 + 13*a^4 - 11*a^6 + 
   2*a^8 - 5*z^2 - 6*a^2*z^2 + 45*a^4*z^2 - 31*a^6*z^2 + 5*a^8*z^2 - 6*z^4 - 
   3*a^2*z^4 + 57*a^4*z^4 - 33*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 4*a^2*z^6 + 
   37*a^4*z^6 - 16*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 13*a^4*z^8 - 
   3*a^6*z^8 + a^2*z^10 + 2*a^4*z^10, Knot[15, Alternating, 56140] -> 
  1 - a^(-2) - 3*a^2 + 12*a^4 - 10*a^6 + 2*a^8 - (2*z^2)/a^2 + 24*a^4*z^2 - 
   18*a^6*z^2 + 3*a^8*z^2 + z^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 20*a^4*z^4 - 
   12*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + 9*a^4*z^6 - 
   3*a^6*z^6 + z^8 + 2*a^2*z^8 + 2*a^4*z^8, Knot[15, Alternating, 56141] -> 
  -4/a^14 + 15/a^12 - 18/a^10 + 4/a^8 + 4/a^6 - (8*z^2)/a^14 + 
   (38*z^2)/a^12 - (45*z^2)/a^10 + (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (5*z^4)/a^14 + (39*z^4)/a^12 - (54*z^4)/a^10 - (8*z^4)/a^8 + 
   (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (38*z^6)/a^10 - (12*z^6)/a^8 + 
   (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 56142] -> 
  -2/a^14 + 6/a^12 - 2/a^10 - 9/a^8 + 8/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (5*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (8*z^4)/a^10 - (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56143] -> 
  7 - 24*a^2 + 30*a^4 - 12*a^6 + 27*z^2 - 88*a^2*z^2 + 95*a^4*z^2 - 
   28*a^6*z^2 + 38*z^4 - 126*a^2*z^4 + 112*a^4*z^4 - 23*a^6*z^4 + 25*z^6 - 
   96*a^2*z^6 + 64*a^4*z^6 - 8*a^6*z^6 + 8*z^8 - 42*a^2*z^8 + 18*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56144] -> -2 + 2/a^2 - 8*a^2 + 17*a^4 - 8*a^6 - 
   12*z^2 + (8*z^2)/a^2 - 17*a^2*z^2 + 38*a^4*z^2 - 12*a^6*z^2 - 19*z^4 + 
   (10*z^4)/a^2 - 20*a^2*z^4 + 33*a^4*z^4 - 6*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 15*a^2*z^6 + 13*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56145] -> 
  6 - 20*a^2 + 25*a^4 - 10*a^6 + 21*z^2 - 68*a^2*z^2 + 73*a^4*z^2 - 
   21*a^6*z^2 + 29*z^4 - 97*a^2*z^4 + 86*a^4*z^4 - 18*a^6*z^4 + 20*z^6 - 
   76*a^2*z^6 + 52*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 35*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56146] -> -3 + 2/a^2 - 4*a^2 + 12*a^4 - 6*a^6 - 
   12*z^2 + (7*z^2)/a^2 - 10*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 - 19*z^4 + 
   (9*z^4)/a^2 - 12*a^2*z^4 + 25*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56147] -> 
  -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - 
   (12*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (13*z^4)/a^10 - (20*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56148] -> 
  5 - 16*a^2 + 20*a^4 - 8*a^6 + 18*z^2 - 60*a^2*z^2 + 66*a^4*z^2 - 
   20*a^6*z^2 + 26*z^4 - 88*a^2*z^4 + 82*a^4*z^4 - 18*a^6*z^4 + 19*z^6 - 
   71*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56149] -> 1 + a^(-2) - 9*a^2 + 14*a^4 - 6*a^6 - 
   4*z^2 + (4*z^2)/a^2 - 17*a^2*z^2 + 29*a^4*z^2 - 9*a^6*z^2 - 10*z^4 + 
   (6*z^4)/a^2 - 16*a^2*z^4 + 25*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56150] -> 
  -2/a^14 + 8/a^12 - 10/a^10 + a^(-8) + 4/a^6 - (3*z^2)/a^14 + 
   (17*z^2)/a^12 - (20*z^2)/a^10 - (3*z^2)/a^8 + (11*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (14*z^4)/a^12 - (18*z^4)/a^10 - (14*z^4)/a^8 + (8*z^4)/a^6 + 
   (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - (14*z^6)/a^8 + z^6/a^4 - 
   (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56151] -> 
  1 - 3/a^6 + 6/a^4 - 3/a^2 + 11*z^2 - (9*z^2)/a^6 + (32*z^2)/a^4 - 
   (31*z^2)/a^2 + 23*z^4 - (10*z^4)/a^6 + (52*z^4)/a^4 - (67*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56152] -> 3 - a^(-8) - a^(-6) + 7/a^4 - 
   7/a^2 + 9*z^2 - (3*z^2)/a^8 + (5*z^2)/a^6 + (13*z^2)/a^4 - (22*z^2)/a^2 + 
   10*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 + (5*z^4)/a^4 - (27*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56153] -> 24 - 8/a^2 - 22*a^2 + 7*a^4 + 70*z^2 - 
   (18*z^2)/a^2 - 77*a^2*z^2 + 26*a^4*z^2 + 85*z^4 - (15*z^4)/a^2 - 
   115*a^2*z^4 + 37*a^4*z^4 + 52*z^6 - (6*z^6)/a^2 - 93*a^2*z^6 + 
   25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56154] -> 
  7 - 3/a^4 + 4/a^2 - 12*a^2 + 5*a^4 + 10*z^2 - (6*z^2)/a^4 + (15*z^2)/a^2 - 
   33*a^2*z^2 + 14*a^4*z^2 - (4*z^4)/a^4 + (19*z^4)/a^2 - 37*a^2*z^4 + 
   14*a^4*z^4 - 8*z^6 - z^6/a^4 + (10*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56155] -> -2 + 3/a^8 - 12/a^6 + 12/a^4 - 7*z^2 + 
   (6*z^2)/a^8 - (29*z^2)/a^6 + (33*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (41*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56156] -> -3/a^10 + 11/a^8 - 15/a^6 + 8/a^4 - 
   (8*z^2)/a^10 + (39*z^2)/a^8 - (54*z^2)/a^6 + (24*z^2)/a^4 - (9*z^4)/a^10 + 
   (55*z^4)/a^8 - (87*z^4)/a^6 + (30*z^4)/a^4 - (5*z^6)/a^10 + (39*z^6)/a^8 - 
   (74*z^6)/a^6 + (20*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (35*z^8)/a^6 + 
   (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 56157] -> -2/a^10 + 4/a^8 + a^(-6) - 7/a^4 + 5/a^2 - 
   (4*z^2)/a^10 + (16*z^2)/a^8 - (5*z^2)/a^6 - (19*z^2)/a^4 + (12*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (14*z^4)/a^6 - (25*z^4)/a^4 + (11*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (12*z^6)/a^6 - (17*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56158] -> 6 - 4/a^6 + 13/a^4 - 14/a^2 + 20*z^2 - 
   (9*z^2)/a^6 + (42*z^2)/a^4 - (54*z^2)/a^2 + 28*z^4 - (10*z^4)/a^6 + 
   (57*z^4)/a^4 - (86*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56159] -> 
  -2 - a^(-8) + 4/a^4 - 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^8 + (4*z^2)/a^6 + 
   (4*z^2)/a^4 - (5*z^2)/a^2 + 5*a^2*z^2 - 11*z^4 + (2*z^4)/a^6 - z^4/a^4 - 
   (4*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 - (2*z^6)/a^6 + z^6/a^4 + z^6/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56160] -> 8 - a^(-4) - a^(-2) - 7*a^2 + 
   2*a^4 + 13*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 25*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 
   6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56161] -> 
  -a^(-12) + 2/a^10 + a^(-8) - 4/a^6 + a^(-4) + 2/a^2 - z^2/a^12 + 
   (4*z^2)/a^10 + (3*z^2)/a^8 - (9*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 + 
   (4*z^4)/a^8 - (9*z^4)/a^6 - (9*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + 
   (5*z^6)/a^8 - z^6/a^6 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56162] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 
   7*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (16*z^2)/a^4 + (9*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (27*z^4)/a^6 + (31*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56163] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 - 2*z^2 + 
   z^2/a^10 - (13*z^2)/a^6 + (21*z^2)/a^4 - (3*z^2)/a^2 - 3*z^4 - z^4/a^8 - 
   (7*z^4)/a^6 + (15*z^4)/a^4 + (3*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (2*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56164] -> -2/a^10 + 7/a^8 - 10/a^6 + 6/a^4 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (25*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (25*z^4)/a^8 - (32*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (25*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56165] -> 3/a^8 - 13/a^6 + 16/a^4 - 
   5/a^2 + (9*z^2)/a^8 - (41*z^2)/a^6 + (56*z^2)/a^4 - (19*z^2)/a^2 + 
   (10*z^4)/a^8 - (57*z^4)/a^6 + (86*z^4)/a^4 - (28*z^4)/a^2 + (5*z^6)/a^8 - 
   (40*z^6)/a^6 + (73*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + 
   (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56166] -> 7 - 3/a^2 - 3*a^2 + 36*z^2 + 
   (7*z^2)/a^4 - (27*z^2)/a^2 - 13*a^2*z^2 + 69*z^4 + (10*z^4)/a^4 - 
   (50*z^4)/a^2 - 23*a^2*z^4 + 66*z^6 + (5*z^6)/a^4 - (39*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 56167] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + 8*z^2 - (12*z^2)/a^6 + (36*z^2)/a^4 - 
   (27*z^2)/a^2 + 20*z^4 - (13*z^4)/a^6 + (58*z^4)/a^4 - (61*z^4)/a^2 + 
   18*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (62*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56168] -> 2 - a^(-8) - 2/a^6 + 8/a^4 - 
   6/a^2 + 7*z^2 - (3*z^2)/a^8 + (3*z^2)/a^6 + (16*z^2)/a^4 - (19*z^2)/a^2 + 
   9*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + (8*z^4)/a^4 - (24*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56169] -> 3/a^12 - 8/a^10 + 4/a^8 + 2/a^6 + 
   (10*z^2)/a^12 - (36*z^2)/a^10 + (34*z^2)/a^8 - (3*z^2)/a^6 + 
   (12*z^4)/a^12 - (56*z^4)/a^10 + (68*z^4)/a^8 - (16*z^4)/a^6 + 
   (6*z^6)/a^12 - (42*z^6)/a^10 + (64*z^6)/a^8 - (17*z^6)/a^6 + z^8/a^12 - 
   (15*z^8)/a^10 + (33*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + 
   (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 56170] -> 
  2/a^12 - 6/a^10 + 5/a^8 - 2/a^6 + 2/a^4 + (5*z^2)/a^12 - (17*z^2)/a^10 + 
   (14*z^2)/a^8 + z^2/a^6 + z^2/a^4 + (4*z^4)/a^12 - (19*z^4)/a^10 + 
   (16*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (11*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56171] -> -5 + 9*a^2 + 2*a^4 - 7*a^6 + 2*a^8 - 
   14*z^2 + 25*a^2*z^2 + 10*a^4*z^2 - 17*a^6*z^2 + 3*a^8*z^2 - 10*z^4 - 
   (2*z^4)/a^2 + 30*a^2*z^4 + 16*a^4*z^4 - 15*a^6*z^4 + a^8*z^4 - z^6/a^2 + 
   18*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 + z^8 + 4*a^2*z^8 + 3*a^4*z^8, 
 Knot[15, Alternating, 56172] -> 4/a^8 - 14/a^6 + 15/a^4 - 4/a^2 + 
   (12*z^2)/a^8 - (45*z^2)/a^6 + (52*z^2)/a^4 - (16*z^2)/a^2 + (13*z^4)/a^8 - 
   (63*z^4)/a^6 + (80*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56173] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 
   7*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + (16*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - 
   (18*z^4)/a^6 + (6*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56174] -> 6 - a^(-6) + 3/a^4 - 5/a^2 - 2*a^2 + 
   15*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 5*a^2*z^2 + 18*z^4 + (2*z^4)/a^6 - 
   (3*z^4)/a^4 - (9*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56175] -> 3*a^4 - 2*a^6 + 4*z^2 - 16*a^2*z^2 + 
   24*a^4*z^2 - 9*a^6*z^2 + 12*z^4 - 40*a^2*z^4 + 45*a^4*z^4 - 12*a^6*z^4 + 
   13*z^6 - 44*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56176] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56177] -> 22 + 5/a^4 - 18/a^2 - 8*a^2 + 
   65*z^2 + (17*z^2)/a^4 - (59*z^2)/a^2 - 20*a^2*z^2 + 81*z^4 + 
   (25*z^4)/a^4 - (85*z^4)/a^2 - 18*a^2*z^4 + 51*z^6 + (19*z^6)/a^4 - 
   (70*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56178] -> 9 + 2/a^6 - 4/a^4 - 2/a^2 - 4*a^2 + 21*z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 22*z^4 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + 
   (5*z^6)/a^6 - (14*z^6)/a^4 - (8*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56179] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (5*z^4)/a^4 + 
   (15*z^4)/a^2 - 6*a^2*z^4 + 3*a^4*z^4 - z^6 - (4*z^6)/a^4 + (11*z^6)/a^2 - 
   7*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 56180] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 
   33*z^2 + (5*z^2)/a^4 - (23*z^2)/a^2 - 12*a^2*z^2 + 50*z^4 + (12*z^4)/a^4 - 
   (42*z^4)/a^2 - 13*a^2*z^4 + 38*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56181] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56182] -> 17 + 4/a^4 - 14/a^2 - 6*a^2 + 48*z^2 + 
   (12*z^2)/a^4 - (43*z^2)/a^2 - 15*a^2*z^2 + 60*z^4 + (17*z^4)/a^4 - 
   (60*z^4)/a^2 - 14*a^2*z^4 + 40*z^6 + (14*z^6)/a^4 - (51*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56183] -> 
  4 - a^(-6) + 5/a^4 - 7/a^2 + 12*z^2 - (6*z^2)/a^6 + (25*z^2)/a^4 - 
   (33*z^2)/a^2 + 13*z^4 - (13*z^4)/a^6 + (45*z^4)/a^4 - (51*z^4)/a^2 + 
   6*z^6 - (13*z^6)/a^6 + (45*z^6)/a^4 - (38*z^6)/a^2 + z^8 - (6*z^8)/a^6 + 
   (26*z^8)/a^4 - (14*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56184] -> -2 + a^(-4) + 2*a^2 - 11*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + 5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56185] -> 
  2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 2*z^2 + (6*z^2)/a^8 - (18*z^2)/a^6 + 
   (15*z^2)/a^4 + z^2/a^2 - 3*z^4 + (7*z^4)/a^8 - (21*z^4)/a^6 + 
   (10*z^4)/a^4 + (7*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (13*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56186] -> 
  -3 + 2/a^2 + 2*a^2 - 7*z^2 - z^2/a^6 + (3*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 - 
   (3*z^4)/a^6 + (7*z^4)/a^4 - z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56187] -> 
  -4*a^2 + 17*a^4 - 18*a^6 + 6*a^8 - 14*a^2*z^2 + 53*a^4*z^2 - 55*a^6*z^2 + 
   17*a^8*z^2 - 22*a^2*z^4 + 76*a^4*z^4 - 73*a^6*z^4 + 17*a^8*z^4 - 
   18*a^2*z^6 + 65*a^4*z^6 - 49*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 56188] -> -1 + 2*a^2 + 6*a^4 - 10*a^6 + 
   4*a^8 - 3*z^2 + 5*a^2*z^2 + 13*a^4*z^2 - 23*a^6*z^2 + 8*a^8*z^2 - 5*z^4 + 
   8*a^2*z^4 + 13*a^4*z^4 - 23*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 9*a^2*z^6 + 
   10*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56189] -> 
  -3 + 10*a^2 - 6*a^4 - 2*a^6 + 2*a^8 - 8*z^2 + 23*a^2*z^2 - 9*a^4*z^2 - 
   13*a^6*z^2 + 7*a^8*z^2 - 9*z^4 + 23*a^2*z^4 - a^4*z^4 - 20*a^6*z^4 + 
   5*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 7*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56190] -> 2 - a^(-2) + 2*a^2 - a^4 - 3*a^6 + 2*a^8 + 
   3*z^2 - (2*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 3*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 
   2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 56191] -> -1 - a^(-8) + 3/a^6 - a^(-4) - 
   a^(-2) + 2*a^2 - 9*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + 
   (5*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (16*z^4)/a^4 + (15*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (12*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 56192] -> 11 - 3/a^2 - 11*a^2 + 4*a^4 + 
   35*z^2 - (10*z^2)/a^2 - 38*a^2*z^2 + 12*a^4*z^2 + 55*z^4 - (16*z^4)/a^2 - 
   54*a^2*z^4 + 13*a^4*z^4 + 50*z^6 - (14*z^6)/a^2 - 39*a^2*z^6 + 6*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56193] -> 
  -7 - 2/a^4 + 7/a^2 + 5*a^2 - 4*a^4 + 2*a^6 - 22*z^2 - (4*z^2)/a^4 + 
   (15*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 24*z^4 - 
   (3*z^4)/a^4 + (15*z^4)/a^2 + 23*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 56194] -> 
  2/a^8 - 4/a^6 + a^(-4) + 2/a^2 - 2*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + 
   (3*z^2)/a^4 + (5*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + 
   (3*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56195] -> 
  -2/a^6 + 3/a^4 + 5*z^2 - (4*z^2)/a^6 + (15*z^2)/a^4 - (13*z^2)/a^2 + 
   14*z^4 - (6*z^4)/a^6 + (30*z^4)/a^4 - (39*z^4)/a^2 + 14*z^6 - 
   (4*z^6)/a^6 + (28*z^6)/a^4 - (46*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (27*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56196] -> 8 - 5/a^6 + 17/a^4 - 19/a^2 + 
   30*z^2 - (12*z^2)/a^6 + (59*z^2)/a^4 - (79*z^2)/a^2 + 41*z^4 - 
   (11*z^4)/a^6 + (75*z^4)/a^4 - (123*z^4)/a^2 + 26*z^6 - (5*z^6)/a^6 + 
   (47*z^6)/a^4 - (98*z^6)/a^2 + 8*z^8 - z^8/a^6 + (15*z^8)/a^4 - 
   (43*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56197] -> -2/a^10 + 7/a^8 - 10/a^6 + 6/a^4 - 
   (9*z^2)/a^10 + (37*z^2)/a^8 - (47*z^2)/a^6 + (21*z^2)/a^4 - 
   (10*z^4)/a^10 + (57*z^4)/a^8 - (83*z^4)/a^6 + (29*z^4)/a^4 - 
   (5*z^6)/a^10 + (40*z^6)/a^8 - (73*z^6)/a^6 + (20*z^6)/a^4 - z^8/a^10 + 
   (14*z^8)/a^8 - (35*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 56198] -> 
  -2/a^10 + 5/a^8 - 3/a^6 - 2/a^4 + 3/a^2 - (4*z^2)/a^10 + (15*z^2)/a^8 - 
   (7*z^2)/a^6 - (12*z^2)/a^4 + (9*z^2)/a^2 - (3*z^4)/a^10 + (17*z^4)/a^8 - 
   (12*z^4)/a^6 - (21*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (11*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56199] -> -5/a^6 + 15/a^4 - 12/a^2 + 3*a^2 - 11*z^2 - 
   (7*z^2)/a^6 + (33*z^2)/a^4 - (29*z^2)/a^2 + 11*a^2*z^2 - 23*z^4 - 
   (4*z^4)/a^6 + (29*z^4)/a^4 - (33*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (12*z^6)/a^4 - (21*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56200] -> 
  3 - 4/a^6 + 10/a^4 - 8/a^2 + 16*z^2 - (9*z^2)/a^6 + (38*z^2)/a^4 - 
   (43*z^2)/a^2 + 27*z^4 - (8*z^4)/a^6 + (52*z^4)/a^4 - (78*z^4)/a^2 + 
   20*z^6 - (4*z^6)/a^6 + (36*z^6)/a^4 - (71*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56201] -> 4/a^8 - 17/a^6 + 21/a^4 - 
   7/a^2 + (9*z^2)/a^8 - (47*z^2)/a^6 + (68*z^2)/a^4 - (24*z^2)/a^2 + 
   (8*z^4)/a^8 - (57*z^4)/a^6 + (97*z^4)/a^4 - (32*z^4)/a^2 + (4*z^6)/a^8 - 
   (37*z^6)/a^6 + (78*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (36*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56202] -> 2/a^8 - 9/a^6 + 11/a^4 - 3/a^2 + 
   (10*z^2)/a^8 - (39*z^2)/a^6 + (49*z^2)/a^4 - (16*z^2)/a^2 + (11*z^4)/a^8 - 
   (59*z^4)/a^6 + (82*z^4)/a^4 - (27*z^4)/a^2 + (5*z^6)/a^8 - (41*z^6)/a^6 + 
   (72*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56203] -> 15 - 7/a^2 - 7*a^2 + 52*z^2 + (3*z^2)/a^4 - 
   (27*z^2)/a^2 - 21*a^2*z^2 + 83*z^4 + (6*z^4)/a^4 - (43*z^4)/a^2 - 
   28*a^2*z^4 + 72*z^6 + (4*z^6)/a^4 - (34*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 56204] -> 5 - 7/a^6 + 18/a^4 - 15/a^2 + 
   19*z^2 - (15*z^2)/a^6 + (56*z^2)/a^4 - (57*z^2)/a^2 + 28*z^4 - 
   (14*z^4)/a^6 + (71*z^4)/a^4 - (89*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + 
   (46*z^6)/a^4 - (74*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56205] -> 4/a^8 - 16/a^6 + 19/a^4 - 6/a^2 + 
   (12*z^2)/a^8 - (50*z^2)/a^6 + (64*z^2)/a^4 - (21*z^2)/a^2 + (13*z^4)/a^8 - 
   (67*z^4)/a^6 + (93*z^4)/a^4 - (29*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56206] -> 20 + 3/a^4 - 14/a^2 - 8*a^2 + 65*z^2 + 
   (11*z^2)/a^4 - (48*z^2)/a^2 - 23*a^2*z^2 + 94*z^4 + (13*z^4)/a^4 - 
   (66*z^4)/a^2 - 29*a^2*z^4 + 75*z^6 + (6*z^6)/a^4 - (45*z^6)/a^2 - 
   20*a^2*z^6 + 35*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 56207] -> 
  -2/a^6 + 3/a^4 + (4*z^2)/a^8 - (13*z^2)/a^6 + (16*z^2)/a^4 - (4*z^2)/a^2 + 
   (8*z^4)/a^8 - (32*z^4)/a^6 + (37*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - 
   (31*z^6)/a^6 + (43*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56208] -> -2/a^8 + 5/a^6 - 5/a^4 + 3/a^2 + 
   2*z^2 - (3*z^2)/a^8 + (13*z^2)/a^6 - (12*z^2)/a^4 + (2*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (15*z^4)/a^4 - (6*z^4)/a^2 + 4*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56209] -> 5 - 2/a^4 + 2/a^2 - 6*a^2 + 2*a^4 + 6*z^2 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 17*a^2*z^2 + 7*a^4*z^2 - 2*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 - 21*a^2*z^4 + 9*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 15*a^2*z^6 + 5*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56210] -> 
  2 - 5/a^6 + 11/a^4 - 7/a^2 + 13*z^2 - (14*z^2)/a^6 + (46*z^2)/a^4 - 
   (41*z^2)/a^2 + 24*z^4 - (14*z^4)/a^6 + (66*z^4)/a^4 - (75*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56211] -> 2 - 2/a^8 + 2/a^6 + 3/a^4 - 
   4/a^2 + 7*z^2 - (5*z^2)/a^8 + (13*z^2)/a^6 + (2*z^2)/a^4 - (14*z^2)/a^2 + 
   9*z^4 - (4*z^4)/a^8 + (18*z^4)/a^6 - (6*z^4)/a^4 - (20*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56212] -> -3 - 2/a^8 + 2/a^6 + 2/a^4 + 2*a^2 - 
   11*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - z^4/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56213] -> 3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + 
   (13*z^2)/a^8 - (43*z^2)/a^6 + (45*z^2)/a^4 - (13*z^2)/a^2 + (14*z^4)/a^8 - 
   (65*z^4)/a^6 + (76*z^4)/a^4 - (24*z^4)/a^2 + (6*z^6)/a^8 - (45*z^6)/a^6 + 
   (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56214] -> 2 - 4/a^8 + 9/a^6 - 5/a^4 - a^(-2) + 7*z^2 - 
   (6*z^2)/a^8 + (23*z^2)/a^6 - (14*z^2)/a^4 - (8*z^2)/a^2 + 9*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (20*z^4)/a^4 - (16*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (15*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56215] -> 2/a^12 - 5/a^10 + a^(-8) + 3/a^6 + 
   (3*z^2)/a^12 - (11*z^2)/a^10 + (4*z^2)/a^8 + (11*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (12*z^4)/a^10 + (6*z^4)/a^8 + (15*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (6*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56216] -> 2/a^10 - 7/a^8 + 6/a^6 + (5*z^2)/a^10 - 
   (18*z^2)/a^8 + (15*z^2)/a^6 + (6*z^2)/a^4 - (4*z^2)/a^2 + (4*z^4)/a^10 - 
   (21*z^4)/a^8 + (18*z^4)/a^6 + (13*z^4)/a^4 - (8*z^4)/a^2 + z^6/a^10 - 
   (11*z^6)/a^8 + (14*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 56217] -> a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 4*z^2 + 
   (5*z^2)/a^8 - (11*z^2)/a^6 + (2*z^2)/a^4 + (9*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (17*z^4)/a^6 + (4*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (8*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56218] -> 1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 8*z^2 + 
   (5*z^2)/a^6 - (20*z^2)/a^4 + (18*z^2)/a^2 - 7*a^2*z^2 + 16*z^4 + 
   (4*z^4)/a^6 - (22*z^4)/a^4 + (21*z^4)/a^2 - 9*a^2*z^4 + 14*z^6 + z^6/a^6 - 
   (11*z^6)/a^4 + (15*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (6*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56219] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 + 
   6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - (7*z^4)/a^4 + 
   (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56220] -> -1 + 2/a^4 - 4/a^2 + 8*a^2 - 4*a^4 - z^2 + 
   (7*z^2)/a^4 - (16*z^2)/a^2 + 20*a^2*z^2 - 8*a^4*z^2 - 4*z^4 + 
   (9*z^4)/a^4 - (21*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56221] -> 
  2 + a^(-6) - a^(-4) - 2/a^2 + 3*a^2 - 2*a^4 + 4*z^2 + (3*z^2)/a^6 - 
   (5*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - 
   (5*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - 
   (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 56222] -> 3*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^2 + 
   a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - a^2*z^4 + 
   15*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56223] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56224] -> 3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 + 
   7*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + (3*z^4)/a^2 + a^2*z^4 + 9*a^4*z^4 - 
   3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56225] -> 5 - 2/a^2 - 2*a^2 + 28*z^2 + (4*z^2)/a^4 - 
   (19*z^2)/a^2 - 11*a^2*z^2 + 49*z^4 + (12*z^4)/a^4 - (41*z^4)/a^2 - 
   13*a^2*z^4 + 38*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56226] -> 3 - a^(-2) - a^2 + 5*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56227] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (13*z^2)/a^8 - (46*z^2)/a^6 + 
   (53*z^2)/a^4 - (16*z^2)/a^2 + (22*z^4)/a^8 - (74*z^4)/a^6 + (73*z^4)/a^4 - 
   (17*z^4)/a^2 + (18*z^6)/a^8 - (65*z^6)/a^6 + (49*z^6)/a^4 - (7*z^6)/a^2 + 
   (7*z^8)/a^8 - (33*z^8)/a^6 + (16*z^8)/a^4 - z^8/a^2 + z^10/a^8 - 
   (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 56228] -> 
  3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 - 4*z^2 + (8*z^2)/a^8 - (25*z^2)/a^6 + 
   (21*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - (26*z^4)/a^6 + 
   (11*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (16*z^6)/a^6 - 
   (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56229] -> 
  3 - 4*a^2 + 2*a^4 + 19*z^2 - (4*z^2)/a^2 - 28*a^2*z^2 + 11*a^4*z^2 + 
   41*z^4 - (12*z^4)/a^2 - 49*a^2*z^4 + 13*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 
   38*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 56230] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 
   4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56231] -> -2*a^2 + 11*a^4 - 12*a^6 + 4*a^8 - z^2 - 
   2*a^2*z^2 + 19*a^4*z^2 - 21*a^6*z^2 + 6*a^8*z^2 - 3*z^4 + 3*a^2*z^4 + 
   14*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 8*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56232] -> -2 + 6*a^2 - a^4 - 4*a^6 + 
   2*a^8 - 6*z^2 + 16*a^2*z^2 - 3*a^4*z^2 - 11*a^6*z^2 + 5*a^8*z^2 - 7*z^4 + 
   18*a^2*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 5*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56233] -> -2 + 8*a^2 - 9*a^4 + 6*a^6 - 
   2*a^8 - 3*z^2 - z^2/a^2 + 20*a^2*z^2 - 22*a^4*z^2 + 8*a^6*z^2 + a^8*z^2 - 
   2*z^4 - (2*z^4)/a^2 + 19*a^2*z^4 - 18*a^4*z^4 - a^6*z^4 + a^8*z^4 + z^6 - 
   z^6/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 2*a^6*z^6 + z^8 + 3*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 56234] -> -3 - a^(-4) + 4/a^2 + 2*a^2 - 3*a^4 + 
   2*a^6 - 15*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 10*a^2*z^2 - 10*a^4*z^2 + 
   3*a^6*z^2 - 20*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 17*a^2*z^4 - 
   10*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56235] -> 15 - 4/a^2 - 16*a^2 + 6*a^4 + 55*z^2 - 
   (16*z^2)/a^2 - 60*a^2*z^2 + 19*a^4*z^2 + 84*z^4 - (25*z^4)/a^2 - 
   80*a^2*z^4 + 18*a^4*z^4 + 70*z^6 - (19*z^6)/a^2 - 51*a^2*z^6 + 7*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56236] -> 
  11 - 3/a^2 - 9*a^2 + 2*a^6 + 23*z^2 - (8*z^2)/a^2 - 13*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 + 23*z^4 - (9*z^4)/a^2 - 2*a^2*z^4 - 20*a^4*z^4 + 
   5*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56237] -> 1 - 2/a^4 + 5/a^2 - 7*a^2 + 4*a^4 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 4*z^4 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 - 22*a^2*z^4 + 5*a^4*z^4 + 8*z^6 - 
   (5*z^6)/a^4 + (15*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56238] -> 
  -3 - 2/a^4 + 6/a^2 - 2*a^4 + 2*a^6 - 2*z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 
   4*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 
   3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 56239] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (16*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56240] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 
   5*z^2 + z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 
   4*z^4 - (2*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56241] -> -1 - 6/a^6 + 14/a^4 - 8/a^2 + 2*a^2 - 
   11*z^2 - (11*z^2)/a^6 + (37*z^2)/a^4 - (22*z^2)/a^2 + 9*a^2*z^2 - 21*z^4 - 
   (6*z^4)/a^6 + (35*z^4)/a^4 - (27*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 - 
   z^6/a^6 + (14*z^6)/a^4 - (19*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56242] -> 
  -1 - 2/a^8 + a^(-6) + 6/a^4 - 5/a^2 + 2*a^2 - 4*z^2 - (3*z^2)/a^8 + 
   (7*z^2)/a^6 + (10*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 - (16*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (2*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 56243] -> 
  2 - 8/a^6 + 21/a^4 - 16/a^2 + 2*a^2 - 8*z^2 - (12*z^2)/a^6 + (46*z^2)/a^4 - 
   (35*z^2)/a^2 + 10*a^2*z^2 - 22*z^4 - (6*z^4)/a^6 + (38*z^4)/a^4 - 
   (35*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 - z^6/a^6 + (14*z^6)/a^4 - 
   (21*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - (7*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 56244] -> 
  -1 - 4/a^8 + 8/a^6 - 2/a^4 - 2/a^2 + 2*a^2 - 3*z^2 - (4*z^2)/a^8 + 
   (16*z^2)/a^6 - (3*z^2)/a^4 - (11*z^2)/a^2 + 5*a^2*z^2 - 5*z^4 - z^4/a^8 + 
   (10*z^4)/a^6 - (5*z^4)/a^4 - (17*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (4*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 56245] -> 
  -1 - 2/a^10 + 3/a^8 + a^(-4) - 2/a^2 + 2*a^2 - 2*z^2 - z^2/a^10 + 
   (6*z^2)/a^8 + z^2/a^6 - (2*z^2)/a^4 - (6*z^2)/a^2 + 3*a^2*z^2 - 3*z^4 + 
   (2*z^4)/a^8 - (2*z^4)/a^6 - (6*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - z^6 - 
   z^6/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2, Knot[15, Alternating, 56246] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56247] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 - 6*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 22*a^4*z^2 - 
   8*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 9*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56248] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 
   2*a^4 - 13*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56249] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   10*z^2 + (2*z^2)/a^4 + 9*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 56250] -> -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + 
   (5*z^2)/a^8 - (11*z^2)/a^6 - z^2/a^4 + (17*z^2)/a^2 - 5*z^4 + 
   (8*z^4)/a^8 - (17*z^4)/a^6 - (5*z^4)/a^4 + (21*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (14*z^6)/a^6 - (8*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56251] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 + 
   (3*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (3*z^4)/a^8 - (5*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 56252] -> 5 - 2/a^2 - 2*a^2 + 15*z^2 + 
   (3*z^2)/a^6 - (7*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + 
   (7*z^4)/a^6 - (14*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + 
   (5*z^6)/a^6 - (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56253] -> 3 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (4*z^2)/a^2 - 2*a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - 
   (4*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 56254] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 5*z^2 + 
   11*a^2*z^2 + 6*a^4*z^2 - 17*a^6*z^2 + 7*a^8*z^2 - 8*z^4 + 17*a^2*z^4 + 
   6*a^4*z^4 - 21*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56255] -> 
  -1 + 3*a^2 + 2*a^4 - 5*a^6 + 2*a^8 - z^2/a^2 + 6*a^2*z^2 - 7*a^6*z^2 + 
   3*a^8*z^2 + z^4 - (2*z^4)/a^2 + 7*a^2*z^4 - 2*a^4*z^4 - 6*a^6*z^4 + 
   a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 56256] -> 
  a^(-8) - 3/a^6 + 2/a^4 + a^(-2) - 2*z^2 + (4*z^2)/a^8 - (10*z^2)/a^6 + 
   (5*z^2)/a^4 + (4*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (16*z^4)/a^6 + 
   (4*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - z^6/a^4 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56257] -> 
  6 - a^(-4) + a^(-2) - 9*a^2 + 4*a^4 + 10*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   23*a^2*z^2 + 8*a^4*z^2 + 10*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 
   23*a^2*z^4 + 5*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 11*a^2*z^6 + 
   a^4*z^6 + 5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56258] -> 2 - a^(-4) + 2/a^2 - 2*a^2 - 2*a^4 + 2*a^6 + 
   3*z^2 - (3*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 - 6*a^4*z^2 + 3*a^6*z^2 + 
   6*z^4 - (3*z^4)/a^4 + (5*z^4)/a^2 - 3*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 56259] -> 2 - 3/a^4 + 4/a^2 - 2*a^2 + 
   26*z^2 - (9*z^2)/a^2 - 12*a^2*z^2 + 63*z^4 + (5*z^4)/a^4 - (33*z^4)/a^2 - 
   23*a^2*z^4 + 65*z^6 + (4*z^6)/a^4 - (32*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 56260] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 
   18*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 56261] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 13*z^2 - (9*z^2)/a^6 + (33*z^2)/a^4 - 
   (36*z^2)/a^2 + 24*z^4 - (12*z^4)/a^6 + (57*z^4)/a^4 - (73*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56262] -> 4 - 3/a^6 + 9/a^4 - 9/a^2 + 
   10*z^2 - (2*z^2)/a^8 + z^2/a^6 + (17*z^2)/a^4 - (26*z^2)/a^2 + 10*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 + (8*z^4)/a^4 - (29*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56263] -> 6/a^8 - 22/a^6 + 25/a^4 - 8/a^2 + 
   (17*z^2)/a^8 - (69*z^2)/a^6 + (85*z^2)/a^4 - (28*z^2)/a^2 + (17*z^4)/a^8 - 
   (89*z^4)/a^6 + (122*z^4)/a^4 - (38*z^4)/a^2 + (7*z^6)/a^8 - (56*z^6)/a^6 + 
   (95*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (17*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56264] -> a^(-10) - 9/a^6 + 13/a^4 - 4/a^2 + 
   (4*z^2)/a^10 - (7*z^2)/a^8 - (15*z^2)/a^6 + (34*z^2)/a^4 - (12*z^2)/a^2 + 
   (4*z^4)/a^10 - (15*z^4)/a^8 - (5*z^4)/a^6 + (36*z^4)/a^4 - (13*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (6*z^6)/a^6 + (21*z^6)/a^4 - (6*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 56265] -> 7 - 3/a^2 - 3*a^2 + 39*z^2 + (8*z^2)/a^4 - 
   (30*z^2)/a^2 - 14*a^2*z^2 + 74*z^4 + (12*z^4)/a^4 - (56*z^4)/a^2 - 
   24*a^2*z^4 + 68*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 56266] -> 9 - a^(-6) + 4/a^4 - 8/a^2 - 3*a^2 + 
   25*z^2 + (2*z^2)/a^6 + z^2/a^4 - (17*z^2)/a^2 - 9*a^2*z^2 + 28*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56267] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 13*z^2 - (9*z^2)/a^6 + (33*z^2)/a^4 - 
   (36*z^2)/a^2 + 24*z^4 - (12*z^4)/a^6 + (57*z^4)/a^4 - (73*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (43*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56268] -> 4 - 3/a^6 + 9/a^4 - 9/a^2 + 
   10*z^2 - (2*z^2)/a^8 + z^2/a^6 + (17*z^2)/a^4 - (26*z^2)/a^2 + 10*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 + (8*z^4)/a^4 - (29*z^4)/a^2 + 5*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (3*z^6)/a^4 - (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56269] -> 7 - 3/a^2 - 3*a^2 + 39*z^2 + (8*z^2)/a^4 - 
   (30*z^2)/a^2 - 14*a^2*z^2 + 74*z^4 + (12*z^4)/a^4 - (56*z^4)/a^2 - 
   24*a^2*z^4 + 68*z^6 + (6*z^6)/a^4 - (43*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 56270] -> 9 - a^(-6) + 4/a^4 - 8/a^2 - 3*a^2 + 
   25*z^2 + (2*z^2)/a^6 + z^2/a^4 - (17*z^2)/a^2 - 9*a^2*z^2 + 28*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 - (9*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56271] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 - (6*z^2)/a^6 + (12*z^2)/a^4 - 
   (4*z^2)/a^2 + (5*z^4)/a^8 - (25*z^4)/a^6 + (38*z^4)/a^4 - (14*z^4)/a^2 + 
   (4*z^6)/a^8 - (27*z^6)/a^6 + (46*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - 
   (12*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56272] -> 
  a^(-8) - 6/a^6 + 8/a^4 - 2/a^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + 
   (42*z^2)/a^4 - (15*z^2)/a^2 + (7*z^4)/a^8 - (47*z^4)/a^6 + (77*z^4)/a^4 - 
   (27*z^4)/a^2 + (4*z^6)/a^8 - (35*z^6)/a^6 + (71*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56273] -> 
  -a^(-8) + a^(-6) + a^(-2) - 5*z^2 + z^2/a^8 - (3*z^2)/a^6 + z^2/a^4 + 
   (9*z^2)/a^2 - 9*z^4 + (2*z^4)/a^8 - (11*z^4)/a^6 + (7*z^4)/a^4 + 
   (17*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (10*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56274] -> -5 + a^(-6) - 8/a^4 + 13/a^2 - 
   5*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + (14*z^2)/a^2 + 8*z^4 - (6*z^4)/a^6 + 
   (22*z^4)/a^4 - (17*z^4)/a^2 + 13*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - 
   (38*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56275] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 - z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - 
   z^2/a^4 - (7*z^4)/a^10 + (22*z^4)/a^8 - (16*z^4)/a^6 + (8*z^4)/a^4 - 
   (5*z^6)/a^10 + (29*z^6)/a^8 - (36*z^6)/a^6 + (12*z^6)/a^4 - z^8/a^10 + 
   (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 56276] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - (9*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56277] -> 
  5 - 2/a^6 + 4/a^4 - 4/a^2 - 2*a^2 + 12*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (6*z^2)/a^2 - 5*a^2*z^2 + 15*z^4 + (2*z^4)/a^6 - (5*z^4)/a^4 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56278] -> 3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 + 
   z^2/a^10 - (14*z^2)/a^8 + (25*z^2)/a^6 - (9*z^2)/a^4 + (2*z^2)/a^2 - 
   (2*z^4)/a^10 + (18*z^4)/a^6 - (14*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + 
   (6*z^6)/a^8 + (2*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (3*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56279] -> -11 - a^(-4) + 6/a^2 + 12*a^2 - 7*a^4 + 
   2*a^6 - 27*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 25*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 26*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 24*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 14*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56280] -> -1 + a^(-2) + a^2 + 11*z^2 - (2*z^2)/a^2 - 
   18*a^2*z^2 + 8*a^4*z^2 + 36*z^4 - (11*z^4)/a^2 - 43*a^2*z^4 + 12*a^4*z^4 + 
   43*z^6 - (13*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56281] -> 6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 8*z^2 - 
   (2*z^2)/a^2 - 13*a^2*z^2 + 5*a^4*z^2 + 5*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 
   15*a^2*z^4 + 4*a^4*z^4 + 5*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + 
   a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56282] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56283] -> 3 - 4*a^2 + 2*a^4 + 19*z^2 - 
   (4*z^2)/a^2 - 28*a^2*z^2 + 11*a^4*z^2 + 41*z^4 - (12*z^4)/a^2 - 
   49*a^2*z^4 + 13*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56284] -> 
  1 + a^(-2) - 3*a^2 + 2*a^4 - 2*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 
   10*a^2*z^2 + 5*a^4*z^2 - z^4 - (5*z^4)/a^4 + (11*z^4)/a^2 - 14*a^2*z^4 + 
   4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56285] -> 5 - 2/a^2 - 2*a^2 + 28*z^2 + (4*z^2)/a^4 - 
   (19*z^2)/a^2 - 11*a^2*z^2 + 49*z^4 + (12*z^4)/a^4 - (41*z^4)/a^2 - 
   13*a^2*z^4 + 38*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56286] -> 3 - a^(-2) - a^2 + 5*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + 2*z^4 + (5*z^4)/a^4 - 
   (11*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56287] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (13*z^2)/a^8 - (46*z^2)/a^6 + 
   (53*z^2)/a^4 - (16*z^2)/a^2 + (22*z^4)/a^8 - (74*z^4)/a^6 + (73*z^4)/a^4 - 
   (17*z^4)/a^2 + (18*z^6)/a^8 - (65*z^6)/a^6 + (49*z^6)/a^4 - (7*z^6)/a^2 + 
   (7*z^8)/a^8 - (33*z^8)/a^6 + (16*z^8)/a^4 - z^8/a^2 + z^10/a^8 - 
   (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 56288] -> 
  3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 - 4*z^2 + (8*z^2)/a^8 - (25*z^2)/a^6 + 
   (21*z^2)/a^4 + (3*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - (26*z^4)/a^6 + 
   (11*z^4)/a^4 + (12*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (16*z^6)/a^6 - 
   (2*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56289] -> 
  3*a^4 - 2*a^6 - 3*z^2 + z^2/a^2 + a^2*z^2 + 7*a^4*z^2 - 3*a^6*z^2 - 7*z^4 + 
   (3*z^4)/a^2 + a^2*z^4 + 9*a^4*z^4 - 3*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 
   2*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56290] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - 6*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (11*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (2*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56291] -> 15 - 7/a^2 - 7*a^2 + 53*z^2 + (2*z^2)/a^4 - 
   (26*z^2)/a^2 - 22*a^2*z^2 + 85*z^4 + (5*z^4)/a^4 - (41*z^4)/a^2 - 
   29*a^2*z^4 + 73*z^6 + (4*z^6)/a^4 - (33*z^6)/a^2 - 20*a^2*z^6 + 35*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 56292] -> a^(-6) - 7/a^4 + 9/a^2 - 2*a^2 + 
   8*z^2 + (2*z^2)/a^6 - (15*z^2)/a^4 + (19*z^2)/a^2 - 8*a^2*z^2 + 19*z^4 + 
   (2*z^4)/a^6 - (15*z^4)/a^4 + (20*z^4)/a^2 - 10*a^2*z^4 + 16*z^6 + 
   z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56293] -> 
  -3/a^10 + 6/a^8 - a^(-6) - 5/a^4 + 4/a^2 - (6*z^2)/a^10 + (24*z^2)/a^8 - 
   (15*z^2)/a^6 - (11*z^2)/a^4 + (10*z^2)/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - 
   (33*z^4)/a^6 - (14*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (29*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56294] -> -4 - 5/a^4 + 10/a^2 - 4*z^2 - (4*z^2)/a^6 + 
   (4*z^2)/a^4 + (9*z^2)/a^2 + 7*z^4 - (8*z^4)/a^6 + (27*z^4)/a^4 - 
   (18*z^4)/a^2 + 12*z^6 - (5*z^6)/a^6 + (30*z^6)/a^4 - (36*z^6)/a^2 + 
   6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - 
   (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56295] -> 
  -2 - a^(-8) + 2/a^6 - 4/a^4 + 6/a^2 - z^2 - (3*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^2)/a^4 + (5*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (3*z^4)/a^4 - (5*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - 
   (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 56296] -> a^(-10) - 3/a^8 + 5/a^6 - 
   6/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + (12*z^2)/a^6 - 
   (17*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + (12*z^4)/a^6 - 
   (16*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56297] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 9/a^2 + 
   2*a^2 - 13*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (22*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 56298] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + 5*a^2*z^2 - 15*z^4 - (6*z^4)/a^6 + 
   (13*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56299] -> 
  -3 + 2/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - (8*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - 
   (16*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (12*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 56300] -> -3 + 2/a^2 + 2*a^2 - 7*z^2 - 
   z^2/a^6 + (3*z^2)/a^4 + 3*a^2*z^2 - 9*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - 
   z^4/a^2 + 3*a^2*z^4 - 7*z^6 - (3*z^6)/a^6 + (7*z^6)/a^4 + (2*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56301] -> 10 + a^(-4) - 6/a^2 - 4*a^2 + 
   33*z^2 + (5*z^2)/a^4 - (23*z^2)/a^2 - 12*a^2*z^2 + 50*z^4 + (12*z^4)/a^4 - 
   (42*z^4)/a^2 - 13*a^2*z^4 + 38*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56302] -> 
  -1 + 4*a^2 - 2*a^4 + z^2 + (2*z^2)/a^4 - (6*z^2)/a^2 + 10*a^2*z^2 - 
   5*a^4*z^2 + z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 
   4*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56303] -> 2/a^8 - 7/a^6 + 7/a^4 - a^(-2) - 2*z^2 + 
   (6*z^2)/a^8 - (18*z^2)/a^6 + (15*z^2)/a^4 + z^2/a^2 - 3*z^4 + 
   (7*z^4)/a^8 - (21*z^4)/a^6 + (10*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (13*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56304] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + 12*z^2 - 
   (6*z^2)/a^6 + (25*z^2)/a^4 - (33*z^2)/a^2 + 13*z^4 - (13*z^4)/a^6 + 
   (45*z^4)/a^4 - (51*z^4)/a^2 + 6*z^6 - (13*z^6)/a^6 + (45*z^6)/a^4 - 
   (38*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (26*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56305] -> -2 + a^(-4) + 2*a^2 - 11*z^2 - (2*z^2)/a^6 + 
   (5*z^2)/a^4 + 5*a^2*z^2 - 15*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + 
   (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56306] -> 
  17 + 4/a^4 - 14/a^2 - 6*a^2 + 48*z^2 + (12*z^2)/a^4 - (43*z^2)/a^2 - 
   15*a^2*z^2 + 60*z^4 + (17*z^4)/a^4 - (60*z^4)/a^2 - 14*a^2*z^4 + 40*z^6 + 
   (14*z^6)/a^4 - (51*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56307] -> 7 + 2/a^4 - 6/a^2 - 2*a^2 + 5*z^2 + 
   z^2/a^6 - z^2/a^4 - (5*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 - 6*z^4 + 
   (2*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56308] -> 
  -2/a^10 + 5/a^8 - 2/a^6 - 4/a^4 + 4/a^2 - (7*z^2)/a^10 + (20*z^2)/a^8 - 
   (9*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - (9*z^4)/a^10 + (25*z^4)/a^8 - 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 + 
   (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56309] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56310] -> a^(-2) - 5*a^2 + 9*a^4 - 4*a^6 - 5*z^2 + 
   (4*z^2)/a^2 - 11*a^2*z^2 + 20*a^4*z^2 - 6*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   10*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 7*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56311] -> -2/a^10 + 6/a^8 - 6/a^6 + 
   a^(-4) + 2/a^2 - (6*z^2)/a^10 + (20*z^2)/a^8 - (14*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - (11*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56312] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + 2*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56313] -> 
  5 - 16*a^2 + 20*a^4 - 8*a^6 + 18*z^2 - 60*a^2*z^2 + 66*a^4*z^2 - 
   20*a^6*z^2 + 26*z^4 - 88*a^2*z^4 + 82*a^4*z^4 - 18*a^6*z^4 + 19*z^6 - 
   71*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56314] -> 1 + a^(-2) - 9*a^2 + 14*a^4 - 6*a^6 - 
   4*z^2 + (4*z^2)/a^2 - 17*a^2*z^2 + 29*a^4*z^2 - 9*a^6*z^2 - 10*z^4 + 
   (6*z^4)/a^2 - 16*a^2*z^4 + 25*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56315] -> 
  -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - z^2/a^10 - z^2/a^8 + 
   (15*z^2)/a^6 - (19*z^2)/a^4 + (5*z^2)/a^2 + z^4 - (2*z^4)/a^10 - z^4/a^8 + 
   (15*z^4)/a^6 - (17*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + z^6/a^8 + 
   (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 56316] -> -2/a^10 + 6/a^8 - 6/a^6 + 
   a^(-4) + 2/a^2 - (6*z^2)/a^10 + (20*z^2)/a^8 - (14*z^2)/a^6 - 
   (6*z^2)/a^4 + (7*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - (11*z^4)/a^6 - 
   (15*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - 
   (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56317] -> 
  -a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 4/a^2 + 2*z^2 - (3*z^2)/a^10 + 
   (7*z^2)/a^8 + (3*z^2)/a^6 - (12*z^2)/a^4 + (3*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (6*z^4)/a^8 + (4*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56318] -> 
  a^(-2) - 5*a^2 + 9*a^4 - 4*a^6 - 5*z^2 + (4*z^2)/a^2 - 11*a^2*z^2 + 
   20*a^4*z^2 - 6*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 10*a^2*z^4 + 18*a^4*z^4 - 
   4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 7*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56319] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (21*z^4)/a^8 - (14*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56320] -> 9 - a^(-6) + 4/a^4 - 8/a^2 - 
   3*a^2 + 23*z^2 + (7*z^2)/a^4 - (21*z^2)/a^2 - 7*a^2*z^2 + 25*z^4 + 
   (2*z^4)/a^6 - (19*z^4)/a^2 - 7*a^2*z^4 + 14*z^6 + z^6/a^6 - (5*z^6)/a^4 - 
   (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (2*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 56321] -> 
  -1 - 6*a^2 + 22*a^4 - 18*a^6 + 4*a^8 - 4*z^2 - 14*a^2*z^2 + 62*a^4*z^2 - 
   44*a^6*z^2 + 8*a^8*z^2 - 6*z^4 - 8*a^2*z^4 + 71*a^4*z^4 - 42*a^6*z^4 + 
   5*a^8*z^4 - 4*z^6 + 3*a^2*z^6 + 43*a^4*z^6 - 18*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 14*a^4*z^8 - 3*a^6*z^8 + a^2*z^10 + 2*a^4*z^10, 
 Knot[15, Alternating, 56322] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 5*z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 + (5*z^2)/a^4 - (12*z^2)/a^2 + 6*z^4 - 
   (3*z^4)/a^8 + (7*z^4)/a^6 + (6*z^4)/a^4 - (18*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (7*z^6)/a^6 - (12*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (3*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 56323] -> 
  -4 + 6*a^2 + 5*a^4 - 8*a^6 + 2*a^8 - 8*z^2 - z^2/a^2 + 17*a^2*z^2 + 
   11*a^4*z^2 - 15*a^6*z^2 + 3*a^8*z^2 - 4*z^4 - (2*z^4)/a^2 + 20*a^2*z^4 + 
   11*a^4*z^4 - 11*a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 12*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 + z^8 + 3*a^2*z^8 + 2*a^4*z^8, 
 Knot[15, Alternating, 56324] -> 11 - a^(-4) - 2/a^2 - 10*a^2 + 3*a^4 + 
   24*z^2 - (3*z^2)/a^4 - 28*a^2*z^2 + 9*a^4*z^2 + 18*z^4 - (3*z^4)/a^4 + 
   (7*z^4)/a^2 - 31*a^2*z^4 + 10*a^4*z^4 + 2*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   18*a^2*z^6 + 5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 56325] -> 
  -4 + 6*a^2 + 5*a^4 - 8*a^6 + 2*a^8 - 12*z^2 + 19*a^2*z^2 + 15*a^4*z^2 - 
   18*a^6*z^2 + 3*a^8*z^2 - 9*z^4 - (2*z^4)/a^2 + 26*a^2*z^4 + 18*a^4*z^4 - 
   15*a^6*z^4 + a^8*z^4 - z^6/a^2 + 17*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 + 
   z^8 + 4*a^2*z^8 + 3*a^4*z^8, Knot[15, Alternating, 56326] -> 
  20 + 3/a^4 - 14/a^2 - 8*a^2 + 60*z^2 + (12*z^2)/a^4 - (47*z^2)/a^2 - 
   20*a^2*z^2 + 77*z^4 + (21*z^4)/a^4 - (72*z^4)/a^2 - 18*a^2*z^4 + 50*z^6 + 
   (18*z^6)/a^4 - (64*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56327] -> 9 + 2/a^4 - 8/a^2 - 2*a^4 + 18*z^2 + 
   (7*z^2)/a^4 - (22*z^2)/a^2 + 6*a^2*z^2 - 5*a^4*z^2 + 11*z^4 + 
   (9*z^4)/a^4 - (25*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56328] -> 
  1 + 2/a^6 - 8/a^4 + 8/a^2 - 2*a^2 + 11*z^2 + (6*z^2)/a^6 - (19*z^2)/a^4 + 
   (13*z^2)/a^2 - 7*a^2*z^2 + 19*z^4 + (8*z^4)/a^6 - (20*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - (14*z^6)/a^4 - 
   (6*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - 
   z^10/a^4 - z^10/a^2, Knot[15, Alternating, 56329] -> 
  6 + a^(-6) - 3/a^4 - 3*a^2 + 12*z^2 + (3*z^2)/a^6 - (6*z^2)/a^4 - 
   (3*z^2)/a^2 - a^2*z^2 - 2*a^4*z^2 + 8*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (6*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 
   2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 56330] -> 
  8 + 3/a^4 - 9/a^2 + a^2 - 2*a^4 + 13*z^2 + (7*z^2)/a^4 - (21*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 5*z^4 + (7*z^4)/a^4 - (20*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (12*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56331] -> 5 - 5/a^6 + 14/a^4 - 13/a^2 + 19*z^2 - 
   (10*z^2)/a^6 + (44*z^2)/a^4 - (52*z^2)/a^2 + 28*z^4 - (10*z^4)/a^6 + 
   (58*z^4)/a^4 - (85*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56332] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (23*z^2)/a^6 + (12*z^2)/a^4 - (8*z^4)/a^10 + (37*z^4)/a^8 - (48*z^4)/a^6 + 
   (17*z^4)/a^4 - (5*z^6)/a^10 + (32*z^6)/a^8 - (49*z^6)/a^6 + (14*z^6)/a^4 - 
   z^8/a^10 + (13*z^8)/a^8 - (27*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - 
   (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 56333] -> 
  24 - 8/a^2 - 22*a^2 + 7*a^4 + 70*z^2 - (18*z^2)/a^2 - 77*a^2*z^2 + 
   26*a^4*z^2 + 85*z^4 - (15*z^4)/a^2 - 115*a^2*z^4 + 37*a^4*z^4 + 52*z^6 - 
   (6*z^6)/a^2 - 93*a^2*z^6 + 25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 
   8*a^4*z^8 + 2*z^10 - 10*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56334] -> 6 - 4/a^6 + 13/a^4 - 14/a^2 + 20*z^2 - 
   (9*z^2)/a^6 + (42*z^2)/a^4 - (54*z^2)/a^2 + 28*z^4 - (10*z^4)/a^6 + 
   (57*z^4)/a^4 - (86*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56335] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) + (6*z^2)/a^8 - (21*z^2)/a^6 + 
   (25*z^2)/a^4 - (7*z^2)/a^2 + (9*z^4)/a^8 - (39*z^4)/a^6 + (47*z^4)/a^4 - 
   (15*z^4)/a^2 + (5*z^6)/a^8 - (33*z^6)/a^6 + (48*z^6)/a^4 - (14*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + 
   (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56336] -> 
  7 - 3/a^2 - 3*a^2 + 36*z^2 + (7*z^2)/a^4 - (27*z^2)/a^2 - 13*a^2*z^2 + 
   69*z^4 + (10*z^4)/a^4 - (50*z^4)/a^2 - 23*a^2*z^4 + 66*z^6 + (5*z^6)/a^4 - 
   (39*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 56337] -> 
  3 - 3/a^8 + 7/a^6 - 3/a^4 - 3/a^2 + 9*z^2 - (4*z^2)/a^8 + (17*z^2)/a^6 - 
   (8*z^2)/a^4 - (14*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (17*z^4)/a^6 - 
   (13*z^4)/a^4 - (22*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (11*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 56338] -> 
  2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + (3*z^2)/a^12 - (18*z^2)/a^10 + 
   (20*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (21*z^4)/a^10 + 
   (31*z^4)/a^8 + (6*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (13*z^6)/a^10 + 
   (25*z^6)/a^8 + (6*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56339] -> 7 - 3/a^4 + 4/a^2 - 12*a^2 + 5*a^4 + 
   10*z^2 - (6*z^2)/a^4 + (15*z^2)/a^2 - 33*a^2*z^2 + 14*a^4*z^2 - 
   (4*z^4)/a^4 + (19*z^4)/a^2 - 37*a^2*z^4 + 14*a^4*z^4 - 8*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 22*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56340] -> 
  -3/a^14 + 12/a^12 - 17/a^10 + 7/a^8 + 2/a^6 - (5*z^2)/a^14 + 
   (25*z^2)/a^12 - (38*z^2)/a^10 + (16*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (27*z^4)/a^12 - (41*z^4)/a^10 + (10*z^4)/a^8 + 
   (9*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (29*z^6)/a^10 - (2*z^6)/a^8 + 
   (5*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 56341] -> 
  -3/a^10 + 7/a^8 - 5/a^6 + 2/a^2 - (6*z^2)/a^10 + (23*z^2)/a^8 - 
   (17*z^2)/a^6 - (4*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (28*z^4)/a^8 - 
   (31*z^4)/a^6 - (10*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (28*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56342] -> 7/a^8 - 28/a^6 + 34/a^4 - 12/a^2 + 
   (15*z^2)/a^8 - (76*z^2)/a^6 + (107*z^2)/a^4 - (38*z^2)/a^2 + 
   (12*z^4)/a^8 - (85*z^4)/a^6 + (143*z^4)/a^4 - (46*z^4)/a^2 + (5*z^6)/a^8 - 
   (49*z^6)/a^6 + (105*z^6)/a^4 - (27*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (44*z^8)/a^4 - (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56343] -> 5/a^8 - 21/a^6 + 26/a^4 - 
   9/a^2 + (10*z^2)/a^8 - (53*z^2)/a^6 + (77*z^2)/a^4 - (27*z^2)/a^2 + 
   (10*z^4)/a^8 - (63*z^4)/a^6 + (104*z^4)/a^4 - (33*z^4)/a^2 + (5*z^6)/a^8 - 
   (41*z^6)/a^6 + (80*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + 
   (36*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56344] -> -a^(-10) + 3/a^6 - 3/a^4 + 
   2/a^2 - (3*z^2)/a^10 + (7*z^2)/a^8 + (3*z^2)/a^6 - (8*z^2)/a^4 + 
   (5*z^2)/a^2 - (3*z^4)/a^10 + (12*z^4)/a^8 - (3*z^4)/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56345] -> 
  -5 - 4/a^8 + 10/a^6 - 10/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - (4*z^2)/a^8 + 
   (22*z^2)/a^6 - (30*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (18*z^4)/a^6 - (35*z^4)/a^4 + (25*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (19*z^6)/a^4 + (14*z^6)/a^2 + 
   (2*z^8)/a^6 - (6*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 56346] -> -2/a^8 + 3/a^6 - a^(-4) + a^(-2) + 2*z^2 - 
   (3*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (2*z^4)/a^4 - (10*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56347] -> 5/a^12 - 16/a^10 + 14/a^8 - 2/a^6 + 
   (11*z^2)/a^12 - (48*z^2)/a^10 + (55*z^2)/a^8 - (11*z^2)/a^6 + 
   (12*z^4)/a^12 - (62*z^4)/a^10 + (86*z^4)/a^8 - (21*z^4)/a^6 + 
   (6*z^6)/a^12 - (43*z^6)/a^10 + (71*z^6)/a^8 - (18*z^6)/a^6 + z^8/a^12 - 
   (15*z^8)/a^10 + (34*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + 
   (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 56348] -> 
  2/a^12 - 4/a^10 - 3/a^8 + 8/a^6 - 2/a^4 + (5*z^2)/a^12 - (16*z^2)/a^10 + 
   (2*z^2)/a^8 + (22*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (19*z^4)/a^10 + 
   (10*z^4)/a^8 + (25*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (10*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56349] -> 4/a^8 - 14/a^6 + 15/a^4 - 4/a^2 + 
   (12*z^2)/a^8 - (45*z^2)/a^6 + (52*z^2)/a^4 - (16*z^2)/a^2 + (13*z^4)/a^8 - 
   (63*z^4)/a^6 + (80*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56350] -> -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 
   7*z^2 + (5*z^2)/a^8 - (12*z^2)/a^6 + (16*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - 
   (18*z^4)/a^6 + (6*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (10*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56351] -> 4 - a^(-2) - 5*a^2 + 5*a^4 - 2*a^6 + 5*z^2 - 
   z^2/a^2 - 9*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 2*z^4 + (2*z^4)/a^2 - 
   5*a^2*z^4 + 10*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 3*a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56352] -> -1 + a^(-2) + a^2 + 11*z^2 - 
   (2*z^2)/a^2 - 18*a^2*z^2 + 8*a^4*z^2 + 36*z^4 - (11*z^4)/a^2 - 
   43*a^2*z^4 + 12*a^4*z^4 + 43*z^6 - (13*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56353] -> 
  6 + a^(-4) - 3/a^2 - 5*a^2 + 2*a^4 + 8*z^2 - (2*z^2)/a^2 - 13*a^2*z^2 + 
   5*a^4*z^2 + 5*z^4 - (4*z^4)/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 4*a^4*z^4 + 
   5*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56354] -> 15 + 2/a^4 - 10/a^2 - 6*a^2 + 45*z^2 + 
   (9*z^2)/a^4 - (35*z^2)/a^2 - 15*a^2*z^2 + 59*z^4 + (16*z^4)/a^4 - 
   (55*z^4)/a^2 - 14*a^2*z^4 + 40*z^6 + (14*z^6)/a^4 - (50*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56355] -> 
  1 + a^(-6) - 4/a^4 + 4/a^2 - a^2 - 3*z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (9*z^2)/a^2 + 4*a^2*z^2 - 2*a^4*z^2 - 10*z^4 + (3*z^4)/a^6 - 
   (10*z^4)/a^4 + (11*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (8*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56356] -> 
  -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 7*z^2 - z^2/a^4 + (3*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 6*z^4 + (2*z^4)/a^4 - z^4/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 6*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56357] -> -2 + 2/a^8 - 7/a^6 + 5/a^4 + 3/a^2 - 5*z^2 + 
   (6*z^2)/a^8 - (16*z^2)/a^6 + (8*z^2)/a^4 + (11*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (18*z^4)/a^6 + z^4/a^4 + (15*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (12*z^6)/a^6 - (5*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56358] -> -1 + 2*a^2 + 4*a^4 - 6*a^6 + 2*a^8 - 4*z^2 + 
   8*a^2*z^2 + 7*a^4*z^2 - 14*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 13*a^2*z^4 + 
   6*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56359] -> -2 + a^(-8) - 4/a^6 + 2/a^4 + 
   4/a^2 - 7*z^2 + (5*z^2)/a^8 - (19*z^2)/a^6 + (16*z^2)/a^4 + (9*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + (31*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56360] -> 7 - 3/a^2 - 3*a^2 + 18*z^2 + (2*z^2)/a^6 - 
   (3*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 21*z^4 + (3*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 - 7*a^2*z^4 + 13*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 56361] -> -2 + 3/a^8 - 12/a^6 + 12/a^4 - 
   7*z^2 + (6*z^2)/a^8 - (29*z^2)/a^6 + (33*z^2)/a^4 + (3*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (30*z^4)/a^6 + (41*z^4)/a^4 + (9*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (30*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56362] -> -2/a^10 + 7/a^8 - 10/a^6 + 6/a^4 - 
   (5*z^2)/a^10 + (21*z^2)/a^8 - (25*z^2)/a^6 + (9*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (25*z^4)/a^8 - (32*z^4)/a^6 + z^4/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (25*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56363] -> -4/a^10 + 11/a^8 - 10/a^6 + 
   2/a^4 + 2/a^2 - (8*z^2)/a^10 + (33*z^2)/a^8 - (31*z^2)/a^6 + z^2/a^4 + 
   (7*z^2)/a^2 - (5*z^4)/a^10 + (36*z^4)/a^8 - (45*z^4)/a^6 - (6*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (17*z^6)/a^8 - (34*z^6)/a^6 - (9*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 56364] -> 
  -2/a^12 + 3/a^10 + 3/a^8 - 7/a^6 + 2/a^4 + 2/a^2 - (3*z^2)/a^12 + 
   (11*z^2)/a^10 + (3*z^2)/a^8 - (18*z^2)/a^6 + (3*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (11*z^4)/a^10 - (5*z^4)/a^8 - (23*z^4)/a^6 - z^4/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (7*z^6)/a^8 - (14*z^6)/a^6 - (3*z^6)/a^4 + 
   z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 56365] -> 4/a^8 - 17/a^6 + 21/a^4 - 7/a^2 + 
   (11*z^2)/a^8 - (51*z^2)/a^6 + (70*z^2)/a^4 - (24*z^2)/a^2 + (11*z^4)/a^8 - 
   (65*z^4)/a^6 + (100*z^4)/a^4 - (32*z^4)/a^2 + (5*z^6)/a^8 - (42*z^6)/a^6 + 
   (79*z^6)/a^4 - (21*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (36*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56366] -> 15 - a^(-4) - 3/a^2 - 15*a^2 + 5*a^4 + 
   26*z^2 - (3*z^2)/a^4 + z^2/a^2 - 35*a^2*z^2 + 12*a^4*z^2 + 16*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 - 35*a^2*z^4 + 11*a^4*z^4 + z^6 - z^6/a^4 + 
   (7*z^6)/a^2 - 19*a^2*z^6 + 5*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56367] -> 
  -2/a^12 + 5/a^10 - 4/a^8 + a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^12 + 
   (14*z^2)/a^10 - (15*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^12 + (12*z^4)/a^10 - (22*z^4)/a^8 + (12*z^4)/a^6 - (13*z^4)/a^4 + 
   (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (10*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^6, 
 Knot[15, Alternating, 56368] -> -3 - 2/a^8 + 2/a^6 + 2/a^4 + 2*a^2 - 
   11*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - z^4/a^8 + (10*z^4)/a^6 - (15*z^4)/a^4 + 
   (12*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 + (3*z^6)/a^6 - (12*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56369] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 8*z^2 + 
   (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 4*z^4 + 
   (3*z^4)/a^6 - (8*z^4)/a^4 + (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56370] -> 
  10 + a^(-4) - 6/a^2 - 4*a^2 + 45*z^2 + (9*z^2)/a^4 - (35*z^2)/a^2 - 
   16*a^2*z^2 + 70*z^4 + (20*z^4)/a^4 - (66*z^4)/a^2 - 17*a^2*z^4 + 49*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56371] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 17*z^2 + 
   (6*z^2)/a^4 - (19*z^2)/a^2 + 2*a^2*z^2 - 4*a^4*z^2 + 11*z^4 + 
   (9*z^4)/a^4 - (24*z^4)/a^2 + 12*a^2*z^4 - 4*a^4*z^4 - 2*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56372] -> 
  -2 - a^(-4) + 3/a^2 + 3*a^2 - 4*a^4 + 2*a^6 - 13*z^2 - (3*z^2)/a^4 + 
   (10*z^2)/a^2 + 12*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 - 19*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 18*a^2*z^4 - 10*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 56373] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - 
   (4*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 - 4*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 + 
   (5*z^4)/a^2 + 7*a^2*z^4 - a^4*z^4 - 9*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56374] -> 5 - 2/a^2 - 2*a^2 + 15*z^2 + (3*z^2)/a^6 - 
   (7*z^2)/a^4 - (2*z^2)/a^2 - 7*a^2*z^2 + 20*z^4 + (7*z^4)/a^6 - 
   (14*z^4)/a^4 - (3*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - 
   (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - (6*z^8)/a^4 - 
   (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 56375] -> 
  3 - a^(-2) - a^2 + 8*z^2 + (2*z^2)/a^6 - (3*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^4*z^2 + 7*z^4 + (3*z^4)/a^6 - (4*z^4)/a^4 - (6*z^4)/a^2 + 4*a^2*z^4 - 
   a^4*z^4 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 56376] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 7*z^2 + (5*z^2)/a^8 - (11*z^2)/a^6 - 
   z^2/a^4 + (17*z^2)/a^2 - 5*z^4 + (8*z^4)/a^8 - (17*z^4)/a^6 - 
   (5*z^4)/a^4 + (21*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (8*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56377] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 + (3*z^2)/a^8 - (5*z^2)/a^6 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 2*a^2*z^2 + 4*z^4 + (3*z^4)/a^8 - 
   (5*z^4)/a^6 - (7*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (3*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 56378] -> -a^(-8) + 2/a^6 - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (7*z^2)/a^8 - (3*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (16*z^4)/a^8 - (16*z^4)/a^6 - (8*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (19*z^6)/a^6 - (7*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (10*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56379] -> -a^(-12) + 6/a^10 - 12/a^8 + 
   8/a^6 + z^2/a^12 + (4*z^2)/a^10 - (19*z^2)/a^8 + (19*z^2)/a^6 - 
   (2*z^2)/a^4 + (3*z^4)/a^12 - (9*z^4)/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - 
   (5*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + (11*z^6)/a^8 + (8*z^6)/a^6 - 
   (4*z^6)/a^4 - (3*z^8)/a^10 + (9*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 56380] -> 
  2 - 3/a^4 + 4/a^2 - 2*a^2 + 26*z^2 - (9*z^2)/a^2 - 12*a^2*z^2 + 63*z^4 + 
   (5*z^4)/a^4 - (33*z^4)/a^2 - 23*a^2*z^4 + 65*z^6 + (4*z^6)/a^4 - 
   (32*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 56381] -> 
  -a^(-8) + a^(-6) + a^(-2) + z^2/a^8 - (6*z^2)/a^6 + (12*z^2)/a^4 - 
   (4*z^2)/a^2 + (5*z^4)/a^8 - (25*z^4)/a^6 + (38*z^4)/a^4 - (14*z^4)/a^2 + 
   (4*z^6)/a^8 - (27*z^6)/a^6 + (46*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - 
   (12*z^8)/a^6 + (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56382] -> 
  -5 + a^(-6) - 8/a^4 + 13/a^2 - 5*z^2 - (2*z^2)/a^6 - (2*z^2)/a^4 + 
   (14*z^2)/a^2 + 8*z^4 - (6*z^4)/a^6 + (22*z^4)/a^4 - (17*z^4)/a^2 + 
   13*z^6 - (4*z^6)/a^6 + (27*z^6)/a^4 - (38*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56383] -> 5 - 2/a^6 + 4/a^4 - 4/a^2 - 
   2*a^2 + 18*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 8*a^2*z^2 + 25*z^4 + 
   (2*z^4)/a^6 - (7*z^4)/a^4 - (2*z^4)/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (5*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56384] -> 
  3/a^10 - 11/a^8 + 11/a^6 - 2/a^4 - z^2/a^10 - (6*z^2)/a^8 + (13*z^2)/a^6 - 
   z^2/a^4 - (7*z^4)/a^10 + (22*z^4)/a^8 - (16*z^4)/a^6 + (8*z^4)/a^4 - 
   (5*z^6)/a^10 + (29*z^6)/a^8 - (36*z^6)/a^6 + (12*z^6)/a^4 - z^8/a^10 + 
   (13*z^8)/a^8 - (25*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 56385] -> 
  a^(-10) - 4/a^8 + 3/a^6 + a^(-4) - (2*z^2)/a^10 + z^2/a^8 + (5*z^2)/a^6 - 
   (2*z^2)/a^4 + (2*z^2)/a^2 - (3*z^4)/a^10 + (10*z^4)/a^8 - (9*z^4)/a^4 + 
   (5*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^8 - (5*z^6)/a^6 - (10*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56386] -> 
  -6 - a^(-4) + 5/a^2 + 3*a^2 - 14*z^2 - (3*z^2)/a^4 + (12*z^2)/a^2 + 
   a^2*z^2 + 2*a^4*z^2 - 11*z^4 - (5*z^4)/a^4 + (15*z^4)/a^2 - 6*a^2*z^4 + 
   3*a^4*z^4 - z^6 - (4*z^6)/a^4 + (11*z^6)/a^2 - 7*a^2*z^6 + a^4*z^6 + 
   3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56387] -> 3*a^4 - 2*a^6 + 4*z^2 - 16*a^2*z^2 + 
   24*a^4*z^2 - 9*a^6*z^2 + 12*z^4 - 40*a^2*z^4 + 45*a^4*z^4 - 12*a^6*z^4 + 
   13*z^6 - 44*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56388] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 3*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 10*z^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56389] -> 22 + 5/a^4 - 18/a^2 - 8*a^2 + 
   65*z^2 + (17*z^2)/a^4 - (59*z^2)/a^2 - 20*a^2*z^2 + 81*z^4 + 
   (25*z^4)/a^4 - (85*z^4)/a^2 - 18*a^2*z^4 + 51*z^6 + (19*z^6)/a^4 - 
   (70*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56390] -> 9 + 2/a^6 - 4/a^4 - 2/a^2 - 4*a^2 + 21*z^2 + 
   (6*z^2)/a^6 - (13*z^2)/a^4 - (4*z^2)/a^2 - 8*a^2*z^2 + 22*z^4 + 
   (8*z^4)/a^6 - (18*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + 
   (5*z^6)/a^6 - (14*z^6)/a^4 - (8*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56391] -> 4 - a^(-6) + 5/a^4 - 7/a^2 + z^2 - 
   (3*z^2)/a^6 + (12*z^2)/a^4 - (14*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (4*z^4)/a^6 + (12*z^4)/a^4 - (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56392] -> -2/a^8 + 6/a^6 - 7/a^4 + 4/a^2 + 2*z^2 - 
   z^2/a^10 - z^2/a^8 + (15*z^2)/a^6 - (19*z^2)/a^4 + (5*z^2)/a^2 + z^4 - 
   (2*z^4)/a^10 - z^4/a^8 + (15*z^4)/a^6 - (17*z^4)/a^4 - (2*z^4)/a^2 - 
   z^6/a^10 + z^6/a^8 + (10*z^6)/a^6 - (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56393] -> 
  6 - 20*a^2 + 25*a^4 - 10*a^6 + 21*z^2 - 68*a^2*z^2 + 73*a^4*z^2 - 
   21*a^6*z^2 + 29*z^4 - 97*a^2*z^4 + 86*a^4*z^4 - 18*a^6*z^4 + 20*z^6 - 
   76*a^2*z^6 + 52*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 35*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56394] -> -3 + 2/a^2 - 4*a^2 + 12*a^4 - 6*a^6 - 
   12*z^2 + (7*z^2)/a^2 - 10*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 - 19*z^4 + 
   (9*z^4)/a^2 - 12*a^2*z^4 + 25*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56395] -> 
  -2/a^14 + 7/a^12 - 6/a^10 - 4/a^8 + 6/a^6 - (3*z^2)/a^14 + (15*z^2)/a^12 - 
   (12*z^2)/a^10 - (13*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (13*z^4)/a^12 - (13*z^4)/a^10 - (20*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56396] -> 
  -2/a^10 + 5/a^8 - 2/a^6 - 4/a^4 + 4/a^2 - (7*z^2)/a^10 + (20*z^2)/a^8 - 
   (9*z^2)/a^6 - (12*z^2)/a^4 + (8*z^2)/a^2 - (9*z^4)/a^10 + (25*z^4)/a^8 - 
   (8*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 + 
   (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56397] -> 2 - a^(-10) + 2/a^8 - a^(-4) - a^(-2) + 
   3*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (3*z^2)/a^6 - (7*z^2)/a^4 - 
   (3*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56398] -> -6 + a^(-6) - a^(-4) + 2/a^2 + 7*a^2 - 
   2*a^4 - 18*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 20*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + (11*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56399] -> 2 - 2/a^12 + 5/a^10 - 6/a^8 + 6/a^6 - 
   3/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (10*z^2)/a^10 - (14*z^2)/a^8 + 
   (12*z^2)/a^6 - (6*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - 
   (15*z^4)/a^8 + (9*z^4)/a^6 - (6*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + 
   (6*z^6)/a^6 - (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56400] -> -4 - 3/a^8 + 8/a^6 - 8/a^4 + 6/a^2 + 2*a^2 - 
   10*z^2 - (3*z^2)/a^8 + (17*z^2)/a^6 - (23*z^2)/a^4 + (16*z^2)/a^2 + 
   3*a^2*z^2 - 10*z^4 - (3*z^4)/a^8 + (14*z^4)/a^6 - (26*z^4)/a^4 + 
   (18*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (14*z^6)/a^4 + 
   (12*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 56401] -> -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (13*z^2)/a^12 - (17*z^2)/a^10 + (8*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (21*z^4)/a^12 - (23*z^4)/a^10 + (5*z^4)/a^8 + (9*z^4)/a^6 - 
   z^6/a^14 + (14*z^6)/a^12 - (22*z^6)/a^10 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^8)/a^12 - (11*z^8)/a^10 - (4*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - 
   z^10/a^8, Knot[15, Alternating, 56402] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - 
   (4*z^2)/a^10 + (9*z^2)/a^8 + (2*z^2)/a^6 - (11*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (21*z^4)/a^8 - (14*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (14*z^6)/a^8 - (21*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (11*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56403] -> -5 - a^(-8) + 5/a^6 - 9/a^4 + 
   9/a^2 + 2*a^2 - 13*z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - (21*z^2)/a^4 + 
   (20*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (22*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (13*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 56404] -> -3 + 2/a^2 + 2*a^2 - 11*z^2 - 
   (3*z^2)/a^6 + (7*z^2)/a^4 + 5*a^2*z^2 - 15*z^4 - (6*z^4)/a^6 + 
   (13*z^4)/a^4 + z^4/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56405] -> 
  a^(-10) - 3/a^8 + 5/a^6 - 6/a^4 + 4/a^2 + 2*z^2 + z^2/a^10 - (4*z^2)/a^8 + 
   (12*z^2)/a^6 - (17*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 - (4*z^4)/a^8 + 
   (12*z^4)/a^6 - (16*z^4)/a^4 - (2*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^6 - 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56406] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 - (2*z^2)/a^8 + 
   (6*z^2)/a^6 - (8*z^2)/a^4 + (9*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (3*z^4)/a^8 + (11*z^4)/a^6 - (16*z^4)/a^4 + (16*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (12*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 56407] -> -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 8*z^2 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56408] -> -4 + a^(-2) + 5*a^2 + a^4 - 
   2*a^6 - 11*z^2 + (4*z^2)/a^2 + 6*a^2*z^2 + 10*a^4*z^2 - 5*a^6*z^2 - 
   14*z^4 + (6*z^4)/a^2 + 15*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56409] -> 
  a^(-8) - 4/a^4 + 4/a^2 + 2*z^2 + z^2/a^8 + (3*z^2)/a^6 - (11*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - z^4/a^10 - (2*z^4)/a^8 + (7*z^4)/a^6 - (11*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (8*z^6)/a^6 - (2*z^6)/a^4 - (2*z^6)/a^2 + 
   z^8/a^8 + (3*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56410] -> 
  -7 - 2/a^8 + 4/a^6 - 6/a^4 + 10/a^2 + 2*a^2 - 14*z^2 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - (17*z^2)/a^4 + (23*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (13*z^4)/a^6 - (21*z^4)/a^4 + (23*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 56411] -> -a^(-18) + 8/a^16 - 15/a^14 + 5/a^12 + 
   4/a^10 + (9*z^2)/a^16 - (38*z^2)/a^14 + (24*z^2)/a^12 + (15*z^2)/a^10 + 
   (2*z^2)/a^8 - (28*z^4)/a^14 + (40*z^4)/a^12 + (24*z^4)/a^10 + 
   (5*z^4)/a^8 - z^6/a^16 - (4*z^6)/a^14 + (27*z^6)/a^12 + (17*z^6)/a^10 + 
   (4*z^6)/a^8 + z^8/a^14 + (6*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 56412] -> -3/a^18 + 15/a^16 - 23/a^14 + 8/a^12 + 
   4/a^10 - (2*z^2)/a^18 + (25*z^2)/a^16 - (66*z^2)/a^14 + (38*z^2)/a^12 + 
   (16*z^2)/a^10 + (9*z^4)/a^16 - (63*z^4)/a^14 + (67*z^4)/a^12 + 
   (25*z^4)/a^10 - (2*z^6)/a^16 - (20*z^6)/a^14 + (55*z^6)/a^12 + 
   (19*z^6)/a^10 - z^8/a^16 + z^8/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 56413] -> 
  -5 + a^(-6) - 4/a^4 + 7/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (16*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (12*z^4)/a^6 - (21*z^4)/a^4 + (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (13*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 56414] -> 
  -11 - a^(-4) + 6/a^2 + 12*a^2 - 7*a^4 + 2*a^6 - 27*z^2 - (3*z^2)/a^4 + 
   (14*z^2)/a^2 + 25*a^2*z^2 - 14*a^4*z^2 + 3*a^6*z^2 - 26*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 24*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 14*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 56415] -> 
  3 - 12*a^2 + 18*a^4 - 8*a^6 + 15*z^2 - 52*a^2*z^2 + 63*a^4*z^2 - 
   20*a^6*z^2 + 25*z^4 - 83*a^2*z^4 + 81*a^4*z^4 - 18*a^6*z^4 + 19*z^6 - 
   70*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56416] -> -1 + a^(-2) - 5*a^2 + 12*a^4 - 6*a^6 - 
   11*z^2 + (6*z^2)/a^2 - 7*a^2*z^2 + 26*a^4*z^2 - 9*a^6*z^2 - 19*z^4 + 
   (9*z^4)/a^2 - 8*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56417] -> 
  -3 + a^(-2) + a^2 + 6*a^4 - 4*a^6 - 14*z^2 + (6*z^2)/a^2 + 2*a^2*z^2 + 
   19*a^4*z^2 - 8*a^6*z^2 - 20*z^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 22*a^4*z^4 - 
   5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 8*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56418] -> -7 + 2/a^2 + 8*a^2 - 2*a^6 - 14*z^2 + 
   (2*z^2)/a^4 + z^2/a^2 + 14*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 56419] -> -6 + a^(-6) - 5/a^4 + 8/a^2 + 5*a^2 - 
   2*a^4 - 20*z^2 + (3*z^2)/a^6 - (13*z^2)/a^4 + (23*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (14*z^4)/a^4 + (25*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56420] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   z^2/a^12 + (7*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^10 + (8*z^4)/a^8 - (5*z^4)/a^6 - (10*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 - (8*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (3*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56421] -> -2/a^14 + 7/a^12 - 8/a^10 + 4/a^6 - 
   (5*z^2)/a^14 + (20*z^2)/a^12 - (22*z^2)/a^10 + (12*z^2)/a^6 - 
   (4*z^4)/a^14 + (26*z^4)/a^12 - (31*z^4)/a^10 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (15*z^6)/a^12 - (27*z^6)/a^10 - (8*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 56422] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (5*z^2)/a^10 + (16*z^2)/a^8 - 
   (9*z^2)/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (24*z^4)/a^8 - 
   (22*z^4)/a^6 - (13*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - 
   (23*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56423] -> -3/a^8 + 4/a^6 - (2*z^2)/a^14 + 
   (3*z^2)/a^12 + z^2/a^10 - (5*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - 
   z^4/a^14 + (7*z^4)/a^12 - (8*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (4*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56424] -> 
  -2/a^14 + 6/a^12 - 6/a^10 + a^(-8) + 2/a^4 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (13*z^2)/a^10 + (2*z^2)/a^8 + (5*z^2)/a^4 - z^4/a^14 + (11*z^4)/a^12 - 
   (13*z^4)/a^10 - (3*z^4)/a^8 - (2*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - 
   (8*z^6)/a^10 - (6*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56425] -> 
  -2 + a^(-8) - 4/a^6 + 2/a^4 + 4/a^2 - 5*z^2 + z^2/a^10 - z^2/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 - z^4/a^8 - (2*z^4)/a^6 + 
   z^4/a^4 + (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 - (2*z^6)/a^6 - (2*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56426] -> 
  -8 + a^(-6) - 3/a^4 + 6/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (20*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56427] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 14*z^2 - z^2/a^4 + (5*z^2)/a^2 + 
   17*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 15*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 + 
   20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 9*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56428] -> 2 - 8*a^2 + 13*a^4 - 6*a^6 + 13*z^2 - 
   44*a^2*z^2 + 53*a^4*z^2 - 17*a^6*z^2 + 24*z^4 - 78*a^2*z^4 + 75*a^4*z^4 - 
   17*a^6*z^4 + 19*z^6 - 69*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56429] -> -2 + a^(-2) - a^2 + 7*a^4 - 
   4*a^6 - 12*z^2 + (6*z^2)/a^2 - 3*a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 
   19*z^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56430] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 13*z^2 + (5*z^2)/a^2 + 6*a^2*z^2 + 
   10*a^4*z^2 - 5*a^6*z^2 - 17*z^4 + (7*z^4)/a^2 + a^2*z^4 + 15*a^4*z^4 - 
   4*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56431] -> 2 - 2/a^12 + 4/a^10 - 2/a^8 + a^(-6) - 
   a^(-4) - a^(-2) + 3*z^2 - z^2/a^12 + (9*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 - (2*z^2)/a^4 - (3*z^2)/a^2 + z^4 + (4*z^4)/a^10 - (12*z^4)/a^8 + 
   z^4/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - (5*z^6)/a^8 + (4*z^6)/a^6 - 
   (2*z^6)/a^2 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56432] -> 
  -8 + a^(-6) - 3/a^4 + 6/a^2 + 7*a^2 - 2*a^4 - 23*z^2 + (3*z^2)/a^6 - 
   (12*z^2)/a^4 + (20*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 24*z^4 + 
   (3*z^4)/a^6 - (14*z^4)/a^4 + (24*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (14*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56433] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 5*z^2 + (3*z^2)/a^8 - (4*z^2)/a^6 - 
   (7*z^2)/a^4 + (15*z^2)/a^2 - 4*z^4 + (6*z^4)/a^8 - (12*z^4)/a^6 - 
   (6*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56434] -> 
  1 - 4*a^2 + 8*a^4 - 4*a^6 - 6*z^2 + (4*z^2)/a^2 - 8*a^2*z^2 + 22*a^4*z^2 - 
   8*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 9*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 
   14*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56435] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   10*z^2 + (2*z^2)/a^4 + 9*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 6*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 56436] -> -3 + a^(-6) - 2/a^4 + 2/a^2 + 5*a^2 - 
   2*a^4 - 13*z^2 + (3*z^2)/a^6 - (10*z^2)/a^4 + (12*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (19*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56437] -> -2 - a^(-6) - a^(-4) + 5/a^2 - 5*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + z^2/a^6 - z^2/a^4 + (11*z^2)/a^2 - 4*z^4 - 
   (2*z^4)/a^8 + (2*z^4)/a^6 - z^4/a^4 + (12*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   z^6/a^6 - (2*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56438] -> -4 - 2/a^6 + 3/a^4 + a^(-2) + 5*a^2 - 
   2*a^4 - 12*z^2 - z^2/a^6 + (2*z^2)/a^4 + (7*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 15*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56439] -> -a^(-12) + 6/a^10 - 12/a^8 + 8/a^6 + 
   z^2/a^12 + (4*z^2)/a^10 - (19*z^2)/a^8 + (19*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (9*z^4)/a^10 - (4*z^4)/a^8 + (16*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (11*z^6)/a^10 + (11*z^6)/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (3*z^8)/a^10 + (9*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 56440] -> -5 + a^(-6) - 4/a^4 + 7/a^2 + 
   2*a^2 - 13*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (16*z^2)/a^4 + (19*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (21*z^4)/a^4 + 
   (22*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (13*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 56441] -> -4 - a^(-4) + 3/a^2 + 5*a^2 - 2*a^4 - 
   14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (14*z^2)/a^2 + 11*a^2*z^2 - 
   3*a^4*z^2 - 18*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (20*z^4)/a^2 + 
   10*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56442] -> -3 + 2/a^2 + 2*a^2 - 10*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (7*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 - 13*z^4 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - a^4*z^4 - 10*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (9*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56443] -> 
  3*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^2 + a^2*z^2 + 11*a^4*z^2 - 5*a^6*z^2 - 
   13*z^4 + (6*z^4)/a^2 - a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + 
   (4*z^6)/a^2 - 5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56444] -> 
  -1 + 2/a^4 - 4/a^2 + 8*a^2 - 4*a^4 - z^2 + (7*z^2)/a^4 - (16*z^2)/a^2 + 
   20*a^2*z^2 - 8*a^4*z^2 - 4*z^4 + (9*z^4)/a^4 - (21*z^4)/a^2 + 22*a^2*z^4 - 
   5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56445] -> 2 + a^(-6) - a^(-4) - 2/a^2 + 3*a^2 - 
   2*a^4 + 4*z^2 + (3*z^2)/a^6 - (5*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 
   3*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - (6*z^4)/a^2 + 6*a^2*z^4 - 
   a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 56446] -> 
  -8 - a^(-4) + 6/a^2 + 4*a^2 - 20*z^2 + z^2/a^6 - (6*z^2)/a^4 + 
   (15*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 19*z^4 + (2*z^4)/a^6 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 11*z^6 + z^6/a^6 - 
   (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56447] -> 
  -4/a^14 + 15/a^12 - 18/a^10 + 4/a^8 + 4/a^6 - (8*z^2)/a^14 + 
   (38*z^2)/a^12 - (45*z^2)/a^10 + (2*z^2)/a^8 + (16*z^2)/a^6 - 
   (5*z^4)/a^14 + (39*z^4)/a^12 - (54*z^4)/a^10 - (8*z^4)/a^8 + 
   (17*z^4)/a^6 - z^6/a^14 + (18*z^6)/a^12 - (38*z^6)/a^10 - (12*z^6)/a^8 + 
   (7*z^6)/a^6 + (3*z^8)/a^12 - (14*z^8)/a^10 - (6*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 56448] -> 
  -2/a^14 + 6/a^12 - 2/a^10 - 9/a^8 + 8/a^6 - (3*z^2)/a^14 + (13*z^2)/a^12 - 
   (5*z^2)/a^10 - (19*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + 
   (11*z^4)/a^12 - (8*z^4)/a^10 - (21*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + 
   (3*z^6)/a^12 - (7*z^6)/a^10 - (13*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56449] -> 
  7 - 24*a^2 + 30*a^4 - 12*a^6 + 27*z^2 - 88*a^2*z^2 + 95*a^4*z^2 - 
   28*a^6*z^2 + 38*z^4 - 126*a^2*z^4 + 112*a^4*z^4 - 23*a^6*z^4 + 25*z^6 - 
   96*a^2*z^6 + 64*a^4*z^6 - 8*a^6*z^6 + 8*z^8 - 42*a^2*z^8 + 18*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56450] -> -2 + 2/a^2 - 8*a^2 + 17*a^4 - 8*a^6 - 
   12*z^2 + (8*z^2)/a^2 - 17*a^2*z^2 + 38*a^4*z^2 - 12*a^6*z^2 - 19*z^4 + 
   (10*z^4)/a^2 - 20*a^2*z^4 + 33*a^4*z^4 - 6*a^6*z^4 - 15*z^6 + 
   (5*z^6)/a^2 - 15*a^2*z^6 + 13*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56451] -> 
  -2 + 4*a^2 + 2*a^4 - 4*a^6 + a^8 - z^2 - z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 
   2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + 
   a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 56452] -> -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 
   2*a^12 - 5*a^4*z^2 + 13*a^6*z^2 + 14*a^8*z^2 - 20*a^10*z^2 + 5*a^12*z^2 - 
   8*a^4*z^4 + 14*a^6*z^4 + 29*a^8*z^4 - 26*a^10*z^4 + 4*a^12*z^4 - 
   5*a^4*z^6 + 10*a^6*z^6 + 27*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 
   5*a^6*z^8 + 12*a^8*z^8 - 3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, 
 Knot[15, Alternating, 56453] -> -a^4 + 6*a^6 - 3*a^8 - 2*a^10 + a^12 - 
   a^2*z^2 - a^4*z^2 + 14*a^6*z^2 - a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 
   2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 + 4*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 
   3*a^6*z^8 + 2*a^8*z^8, Knot[15, Alternating, 56454] -> 
  a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 + (9*z^2)/a^8 - (37*z^2)/a^6 + 
   (51*z^2)/a^4 - (17*z^2)/a^2 + (12*z^4)/a^8 - (59*z^4)/a^6 + (82*z^4)/a^4 - 
   (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + (70*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56455] -> 
  -1 + a^(-8) - 6/a^6 + 7/a^4 - 5*z^2 + (5*z^2)/a^8 - (17*z^2)/a^6 + 
   (16*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (17*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56456] -> 
  -a^(-8) + 5/a^6 - 8/a^4 + 5/a^2 - 11*z^2 - z^2/a^8 + (8*z^2)/a^6 - 
   (19*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - 
   (17*z^4)/a^4 + (25*z^4)/a^2 + 5*a^2*z^4 - 14*z^6 - (6*z^6)/a^4 + 
   (15*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + (4*z^8)/a^2 + a^2*z^8 - z^10, 
 Knot[15, Alternating, 56457] -> -1 + 8*a^4 - 8*a^6 + 2*a^8 - 4*z^2 + 
   5*a^2*z^2 + 15*a^4*z^2 - 17*a^6*z^2 + 5*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 
   7*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - z^6 + 9*a^2*z^6 - 3*a^4*z^6 - 
   11*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56458] -> 
  -2 + 5*a^2 - 3*a^6 + a^8 - 2*z^2 - z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 + 2*z^4 - z^4/a^2 + 8*a^2*z^4 - 6*a^4*z^4 - 
   3*a^6*z^4 + 2*a^8*z^4 + 2*z^6 + a^2*z^6 - 5*a^4*z^6 - 2*a^6*z^6 + 
   a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 56459] -> 
  2/a^8 - 10/a^6 + 13/a^4 - 4/a^2 + (9*z^2)/a^8 - (37*z^2)/a^6 + 
   (49*z^2)/a^4 - (16*z^2)/a^2 + (12*z^4)/a^8 - (58*z^4)/a^6 + (79*z^4)/a^4 - 
   (25*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + (69*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56460] -> 
  -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 4*z^2 + (5*z^2)/a^8 - (17*z^2)/a^6 + 
   (16*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + 
   (18*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56461] -> 
  -1 + 2/a^8 - 8/a^6 + 8/a^4 - 5*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (16*z^2)/a^4 + (6*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (14*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (10*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56462] -> 
  -2 + a^(-8) - 3/a^6 + 5/a^2 - 3*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   (2*z^2)/a^4 + (12*z^2)/a^2 - a^2*z^2 + z^4/a^8 - (5*z^4)/a^6 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (7*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 56463] -> -2*a^4 + 8*a^6 - 4*a^8 - 2*a^10 + a^12 - 
   a^2*z^2 - 2*a^4*z^2 + 16*a^6*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 14*a^6*z^4 + 9*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 56464] -> -1 + 6*a^2 - 9*a^4 + 9*a^6 - 
   5*a^8 + a^10 - 3*z^2 + 14*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - 2*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 2*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56465] -> 
  -2 - 3/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^8 - (7*z^2)/a^6 + (12*z^2)/a^2 - 
   5*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (7*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56466] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (12*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56467] -> -1 + 6*a^2 - 9*a^4 + 9*a^6 - 
   5*a^8 + a^10 - 3*z^2 + 14*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - 2*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 2*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56468] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (10*z^2)/a^8 - (39*z^2)/a^6 + 
   (48*z^2)/a^4 - (15*z^2)/a^2 + (12*z^4)/a^8 - (57*z^4)/a^6 + (74*z^4)/a^4 - 
   (23*z^4)/a^2 + (6*z^6)/a^8 - (42*z^6)/a^6 + (65*z^6)/a^4 - (18*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (33*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56469] -> 
  -1 + 2/a^8 - 7/a^6 + 6/a^4 + a^(-2) - 4*z^2 + (5*z^2)/a^8 - (17*z^2)/a^6 + 
   (14*z^2)/a^4 + (5*z^2)/a^2 - 6*z^4 + (4*z^4)/a^8 - (19*z^4)/a^6 + 
   (15*z^4)/a^4 + (10*z^4)/a^2 - 4*z^6 + z^6/a^8 - (10*z^6)/a^6 + 
   (11*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56470] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^8 - (8*z^2)/a^6 + 
   (12*z^2)/a^2 - 6*z^4 + (3*z^4)/a^8 - (12*z^4)/a^6 + (4*z^4)/a^4 + 
   (14*z^4)/a^2 - 4*z^6 + z^6/a^8 - (8*z^6)/a^6 + (6*z^6)/a^4 + 
   (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56471] -> -4*a^2 + 14*a^4 - 12*a^6 + 
   3*a^8 - 14*a^2*z^2 + 47*a^4*z^2 - 40*a^6*z^2 + 11*a^8*z^2 - 16*a^2*z^4 + 
   66*a^4*z^4 - 65*a^6*z^4 + 19*a^8*z^4 - 7*a^2*z^6 + 47*a^4*z^6 - 
   60*a^6*z^6 + 17*a^8*z^6 - a^2*z^8 + 16*a^4*z^8 - 32*a^6*z^8 + 7*a^8*z^8 + 
   2*a^4*z^10 - 9*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 56472] -> -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 
   6*a^2*z^2 + 13*a^4*z^2 - 18*a^6*z^2 + 6*a^8*z^2 - 4*z^4 + 12*a^2*z^4 + 
   8*a^4*z^4 - 22*a^6*z^4 + 8*a^8*z^4 - z^6 + 9*a^2*z^6 - 2*a^4*z^6 - 
   15*a^6*z^6 + 5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56473] -> 
  -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 5*z^2 + 13*a^2*z^2 - a^4*z^2 - 
   9*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 15*a^2*z^4 - 2*a^4*z^4 - 14*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 9*a^2*z^6 - 5*a^4*z^6 - 11*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 4*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 56474] -> -2 + 6*a^2 - 2*a^4 - 2*a^6 + a^8 - 2*z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 3*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 2*z^4 - 
   z^4/a^2 + 8*a^2*z^4 - 5*a^4*z^4 - 6*a^6*z^4 + 3*a^8*z^4 + 2*z^6 + 
   a^2*z^6 - 5*a^4*z^6 - 3*a^6*z^6 + a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 56475] -> 3 + a^(-8) - 3/a^6 + 3/a^4 - 2/a^2 - a^2 + 
   5*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (4*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + z^4/a^8 - (6*z^4)/a^6 + (6*z^4)/a^4 - (2*z^4)/a^2 - 
   2*a^2*z^4 + 3*z^6 - (2*z^6)/a^6 + (3*z^6)/a^4 + z^6/a^2 - a^2*z^6 + z^8 + 
   z^8/a^4 + z^8/a^2, Knot[15, Alternating, 56476] -> 
  3 - a^(-2) - 2*a^2 + 3*a^4 - 3*a^6 + a^8 + 5*z^2 - (2*z^2)/a^2 - 
   3*a^2*z^2 + 6*a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 5*z^4 - z^4/a^2 - 
   2*a^2*z^4 + 3*a^4*z^4 - 8*a^6*z^4 + 3*a^8*z^4 + 2*z^6 - 2*a^2*z^6 - 
   a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 56477] -> -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 
   16*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 56478] -> 
  -2 + a^(-8) - 2/a^6 - 2/a^4 + 6/a^2 - 2*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 - a^2*z^2 + z^4 + z^4/a^8 - (5*z^4)/a^6 - 
   z^4/a^4 + (9*z^4)/a^2 - 2*a^2*z^4 + 2*z^6 - (2*z^6)/a^6 + z^6/a^4 + 
   (6*z^6)/a^2 - a^2*z^6 + z^8 + z^8/a^4 + (2*z^8)/a^2, 
 Knot[15, Alternating, 56479] -> -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 
   16*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 56480] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 22*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   10*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 56481] -> -7 + a^(-6) - 5/a^4 + 9/a^2 + 
   4*a^2 - a^4 - 16*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 
   8*a^2*z^2 - 2*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 
   9*a^2*z^4 - 2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - 
   a^4*z^6 - 4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56482] -> -7 + a^(-6) - 5/a^4 + 9/a^2 + 4*a^2 - a^4 - 
   16*z^2 + (2*z^2)/a^6 - (11*z^2)/a^4 + (20*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 16*z^4 + z^4/a^6 - (9*z^4)/a^4 + (20*z^4)/a^2 + 9*a^2*z^4 - 
   2*a^4*z^4 - 10*z^6 - (3*z^6)/a^4 + (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   4*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 56483] -> 
  -10 - a^(-4) + 6/a^2 + 8*a^2 - 2*a^4 - 22*z^2 - (2*z^2)/a^4 + 
   (11*z^2)/a^2 + 17*a^2*z^2 - 6*a^4*z^2 + a^6*z^2 - 20*z^4 - z^4/a^4 + 
   (9*z^4)/a^2 + 17*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 - 11*z^6 + (3*z^6)/a^2 + 
   10*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 2*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 56484] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + 
   (3*z^2)/a^8 - (7*z^2)/a^6 + (12*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (7*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - 
   (8*z^6)/a^6 + (8*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56485] -> -2*a^4 + 8*a^6 - 4*a^8 - 2*a^10 + a^12 - 
   a^2*z^2 - 2*a^4*z^2 + 16*a^6*z^2 - 8*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - 
   a^4*z^4 + 14*a^6*z^4 + 9*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 + 
   a^4*z^6 + 9*a^6*z^6 + 9*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 56486] -> -1 + 6*a^2 - 9*a^4 + 9*a^6 - 
   5*a^8 + a^10 - 3*z^2 + 14*a^2*z^2 - 21*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 + 
   a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 20*a^4*z^4 + 11*a^6*z^4 - 2*a^8*z^4 - 
   z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 2*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 
   3*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56487] -> 
  -1 + 6*a^2 - 9*a^4 + 9*a^6 - 5*a^8 + a^10 - 3*z^2 + 14*a^2*z^2 - 
   21*a^4*z^2 + 18*a^6*z^2 - 7*a^8*z^2 + a^10*z^2 - 3*z^4 + 14*a^2*z^4 - 
   20*a^4*z^4 + 11*a^6*z^4 - 2*a^8*z^4 - z^6 + 8*a^2*z^6 - 10*a^4*z^6 + 
   2*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 56488] -> 2/a^8 - 10/a^6 + 13/a^4 - 
   4/a^2 + (9*z^2)/a^8 - (37*z^2)/a^6 + (49*z^2)/a^4 - (16*z^2)/a^2 + 
   (12*z^4)/a^8 - (58*z^4)/a^6 + (79*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - 
   (43*z^6)/a^6 + (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + 
   (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56489] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + 
   a^(-2) - 4*z^2 + (5*z^2)/a^8 - (17*z^2)/a^6 + (16*z^2)/a^4 + (4*z^2)/a^2 - 
   6*z^4 + (4*z^4)/a^8 - (20*z^4)/a^6 + (18*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56490] -> -2 + 4*a^2 + 2*a^4 - 4*a^6 + a^8 - z^2 - 
   z^2/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 + 2*z^4 - z^4/a^2 + 
   8*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 + a^8*z^4 + 2*z^6 + 2*a^2*z^6 - 
   8*a^4*z^6 + a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 56491] -> -2 - 3/a^4 + 6/a^2 - 5*z^2 + (3*z^2)/a^8 - 
   (7*z^2)/a^6 + (12*z^2)/a^2 - 5*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + 
   (7*z^4)/a^4 + (11*z^4)/a^2 - 3*z^6 + z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56492] -> -a^(-8) + 5/a^6 - 8/a^4 + 
   5/a^2 - 11*z^2 - z^2/a^8 + (8*z^2)/a^6 - (19*z^2)/a^4 + (19*z^2)/a^2 + 
   3*a^2*z^2 - 19*z^4 + (4*z^4)/a^6 - (17*z^4)/a^4 + (25*z^4)/a^2 + 
   5*a^2*z^4 - 14*z^6 - (6*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 5*z^8 + 
   (4*z^8)/a^2 + a^2*z^8 - z^10, Knot[15, Alternating, 56493] -> 
  -a^4 + 4*a^6 + 2*a^8 - 6*a^10 + 2*a^12 - 5*a^4*z^2 + 13*a^6*z^2 + 
   14*a^8*z^2 - 20*a^10*z^2 + 5*a^12*z^2 - 8*a^4*z^4 + 14*a^6*z^4 + 
   29*a^8*z^4 - 26*a^10*z^4 + 4*a^12*z^4 - 5*a^4*z^6 + 10*a^6*z^6 + 
   27*a^8*z^6 - 15*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 12*a^8*z^8 - 
   3*a^10*z^8 + a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 56494] -> 
  -a^4 + 6*a^6 - 3*a^8 - 2*a^10 + a^12 - a^2*z^2 - a^4*z^2 + 14*a^6*z^2 - 
   a^8*z^2 - 7*a^10*z^2 + 2*a^12*z^2 - 2*a^2*z^4 - a^4*z^4 + 15*a^6*z^4 + 
   4*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 + a^4*z^6 + 10*a^6*z^6 + 
   5*a^8*z^6 - 3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 56495] -> a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 + 
   (9*z^2)/a^8 - (37*z^2)/a^6 + (51*z^2)/a^4 - (17*z^2)/a^2 + (12*z^4)/a^8 - 
   (59*z^4)/a^6 + (82*z^4)/a^4 - (26*z^4)/a^2 + (6*z^6)/a^8 - (43*z^6)/a^6 + 
   (70*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56496] -> -1 + a^(-8) - 6/a^6 + 7/a^4 - 5*z^2 + 
   (5*z^2)/a^8 - (17*z^2)/a^6 + (16*z^2)/a^4 + (6*z^2)/a^2 - 7*z^4 + 
   (4*z^4)/a^8 - (20*z^4)/a^6 + (17*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (12*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56497] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 - 
   8*a^2*z^6 + 23*a^4*z^6 - 20*a^6*z^6 + 4*a^8*z^6 - 5*a^2*z^8 + 19*a^4*z^8 - 
   11*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 56498] -> 2 - 3*a^2 + 3*a^4 - a^6 + 2*z^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + 
   2*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 3*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56499] -> 6 - 2/a^2 - 4*a^2 + a^4 + 
   7*z^2 - z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 14*z^4 - (4*z^4)/a^2 - 
   17*a^2*z^4 + 5*a^4*z^4 + 24*z^6 - (8*z^6)/a^2 - 21*a^2*z^6 + 4*a^4*z^6 + 
   19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56500] -> 
  -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 4*z^2 + z^2/a^2 + 7*a^2*z^2 - 
   6*a^4*z^2 + 2*a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 - 7*a^4*z^4 + 
   2*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56501] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 9*z^2 - 
   26*a^2*z^2 + 25*a^4*z^2 - 7*a^6*z^2 + 20*z^4 - 58*a^2*z^4 + 45*a^4*z^4 - 
   9*a^6*z^4 + 18*z^6 - 61*a^2*z^6 + 37*a^4*z^6 - 5*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56502] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   2*z^2 + (2*z^2)/a^2 - 7*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 6*z^4 + 
   (5*z^4)/a^2 - 13*a^2*z^4 + 15*a^4*z^4 - 3*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56503] -> 
  3 - a^(-6) + 4/a^4 - 5/a^2 + 10*z^2 - (6*z^2)/a^6 + (23*z^2)/a^4 - 
   (28*z^2)/a^2 + 12*z^4 - (17*z^4)/a^6 + (52*z^4)/a^4 - (51*z^4)/a^2 + 
   6*z^6 - (17*z^6)/a^6 + (57*z^6)/a^4 - (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (32*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56504] -> a^(-4) - a^(-2) + a^2 - 4*z^2 - 
   (4*z^2)/a^6 + (11*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 10*z^4 - 
   (8*z^4)/a^6 + (19*z^4)/a^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56505] -> 12 - 4/a^2 - 10*a^2 + 3*a^4 + 28*z^2 - 
   (8*z^2)/a^2 - 27*a^2*z^2 + 8*a^4*z^2 + 43*z^4 - (13*z^4)/a^2 - 
   39*a^2*z^4 + 9*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 32*a^2*z^6 + 5*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56506] -> 
  3 - a^(-2) - 2*a^4 + a^6 + 11*z^2 - (4*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 
   2*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 - 6*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 
   12*z^6 - (4*z^6)/a^2 + a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 56507] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 - a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 
   2*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 4*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56508] -> 7*a^4 - 12*a^6 + 8*a^8 - 2*a^10 + 
   13*a^4*z^2 - 29*a^6*z^2 + 23*a^8*z^2 - 6*a^10*z^2 + 15*a^4*z^4 - 
   45*a^6*z^4 + 36*a^8*z^4 - 8*a^10*z^4 + 13*a^4*z^6 - 45*a^6*z^6 + 
   31*a^8*z^6 - 5*a^10*z^6 + 6*a^4*z^8 - 26*a^6*z^8 + 13*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 56509] -> 3*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 
   4*a^4*z^4 - 11*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56510] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 4*z^2 + 7*a^2*z^2 - 7*a^4*z^2 + 
   2*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + 2*a^6*z^4 + 
   7*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 
   3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 56511] -> 
  2 - 2*a^2 + a^4 + 3*z^2 - 9*a^2*z^2 + 7*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - 
   22*a^2*z^4 + 19*a^4*z^4 - 5*a^6*z^4 + 9*z^6 - 29*a^2*z^6 + 22*a^4*z^6 - 
   4*a^6*z^6 + 5*z^8 - 20*a^2*z^8 + 11*a^4*z^8 - a^6*z^8 + z^10 - 
   7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56512] -> 
  5*a^2 - 8*a^4 + 5*a^6 - a^8 + 5*a^2*z^2 - 11*a^4*z^2 + 5*a^6*z^2 - 
   7*a^2*z^4 + 14*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 12*a^2*z^6 + 
   35*a^4*z^6 - 24*a^6*z^6 + 4*a^8*z^6 - 6*a^2*z^8 + 25*a^4*z^8 - 
   12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 56513] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 6*a^2*z^2 + 
   4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 9*a^4*z^4 - 
   9*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 8*a^4*z^6 - 7*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56514] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + 12*z^4 + (8*z^4)/a^4 - 
   (17*z^4)/a^2 - 3*a^2*z^4 + 23*z^6 + (12*z^6)/a^4 - (36*z^6)/a^2 - 
   4*a^2*z^6 + 12*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56515] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 - z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56516] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 + 4*a^2*z^2 - 
   7*a^4*z^2 + 4*a^6*z^2 - 3*a^2*z^4 + 7*a^4*z^4 - 11*a^6*z^4 + 4*a^8*z^4 - 
   8*a^2*z^6 + 23*a^4*z^6 - 20*a^6*z^6 + 4*a^8*z^6 - 5*a^2*z^8 + 19*a^4*z^8 - 
   11*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 56517] -> 3*a^2 - 4*a^4 + 3*a^6 - a^8 - z^2 + 
   8*a^2*z^2 - 13*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 3*z^4 + 10*a^2*z^4 - 
   13*a^4*z^4 + 2*a^6*z^4 + a^8*z^4 - 3*z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 
   4*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56518] -> 2 - 3*a^2 + 3*a^4 - a^6 + 
   2*z^2 - 5*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + a^8*z^2 - 2*z^4 + a^2*z^4 + 
   2*a^4*z^4 - 6*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 3*a^4*z^6 - 
   6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56519] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 - 3*z^2 - (2*z^2)/a^4 + (6*z^2)/a^2 - 2*a^2*z^2 + a^4*z^2 - 6*z^4 + 
   (4*z^4)/a^2 + 3*a^2*z^4 - a^4*z^4 - 5*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (3*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 56520] -> -2 + 2/a^2 + a^4 + 3*z^2 - 
   z^2/a^2 - 8*a^2*z^2 + 3*a^4*z^2 + 28*z^4 - (11*z^4)/a^2 - 24*a^2*z^4 + 
   5*a^4*z^4 + 41*z^6 - (13*z^6)/a^2 - 26*a^2*z^6 + 4*a^4*z^6 + 26*z^8 - 
   (6*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 56521] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 
   5*z^2 + 6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 
   7*a^2*z^4 - 10*a^4*z^4 + 2*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 7*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 56522] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 
   12*z^2 - 34*a^2*z^2 + 30*a^4*z^2 - 8*a^6*z^2 + 19*z^4 - 60*a^2*z^4 + 
   47*a^4*z^4 - 10*a^6*z^4 + 15*z^6 - 54*a^2*z^6 + 35*a^4*z^6 - 5*a^6*z^6 + 
   6*z^8 - 28*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56523] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 + (2*z^2)/a^2 - 4*a^2*z^2 + 
   4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 5*z^4 + (2*z^4)/a^2 - 3*a^4*z^4 + 
   5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 4*a^2*z^6 - 7*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 56524] -> 10 - 3/a^2 - 9*a^2 + 3*a^4 + 32*z^2 - 
   (10*z^2)/a^2 - 31*a^2*z^2 + 9*a^4*z^2 + 52*z^4 - (16*z^4)/a^2 - 
   45*a^2*z^4 + 10*a^4*z^4 + 49*z^6 - (14*z^6)/a^2 - 34*a^2*z^6 + 5*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56525] -> 
  -1 + a^(-2) + a^2 - 5*z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (4*z^2)/a^2 + 
   3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + (15*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56526] -> 4 - a^(-2) - 2*a^2 - a^4 + a^6 + 9*z^2 - 
   (4*z^2)/a^2 - 2*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 13*z^4 - (6*z^4)/a^2 + 
   3*a^2*z^4 - 12*a^4*z^4 + 3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 
   8*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 56527] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 
   2*a^2 - 15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 
   18*z^4 - (4*z^4)/a^6 + (2*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56528] -> -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 
   8*z^2 + z^2/a^2 + 16*a^2*z^2 - 15*a^4*z^2 + 4*a^6*z^2 - 4*z^4 - 
   (2*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 
   13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 5*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 56529] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56530] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 11*z^2 - 
   (4*z^2)/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - (4*z^4)/a^2 - 
   a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 8*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 56531] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 + 
   4*a^2*z^2 - 4*a^4*z^2 - 4*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 4*a^2*z^4 - 
   9*a^4*z^4 - 4*a^6*z^4 + 8*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 
   4*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56532] -> 
  -5 + a^(-4) + a^(-2) + 6*a^2 - 3*a^4 + a^6 - 11*z^2 + z^2/a^2 + 
   13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - (2*z^4)/a^4 + (5*z^4)/a^2 + 
   16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + (6*z^6)/a^2 + 
   11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56533] -> 4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 
   10*a^2*z^2 - 17*a^4*z^2 + 12*a^6*z^2 - 3*a^8*z^2 + z^4 + 6*a^2*z^4 - 
   19*a^4*z^4 + 15*a^6*z^4 - 3*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 12*a^4*z^6 + 
   9*a^6*z^6 - a^8*z^6 + z^8 - 4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - 
   a^4*z^10, Knot[15, Alternating, 56534] -> 2*a^4 + 2*a^6 - 6*a^8 + 4*a^10 - 
   a^12 + a^2*z^2 + 10*a^6*z^2 - 14*a^8*z^2 + 6*a^10*z^2 - a^2*z^4 - 
   3*a^4*z^4 + 13*a^6*z^4 - 13*a^8*z^4 + a^12*z^4 - a^2*z^6 + 9*a^6*z^6 - 
   3*a^8*z^6 - 2*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + a^8*z^8, 
 Knot[15, Alternating, 56535] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + z^4/a^2 + 
   17*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - (2*z^6)/a^2 + 10*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 56536] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - (4*z^2)/a^6 - (4*z^2)/a^4 + 
   (5*z^2)/a^2 + z^4 - z^4/a^10 + (10*z^4)/a^8 - (8*z^4)/a^6 - (13*z^4)/a^4 + 
   (6*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 56537] -> 
  -1 - a^(-6) + 2/a^4 + a^2 - 4*z^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - 
   (7*z^2)/a^2 + 3*a^2*z^2 - 8*z^4 - (6*z^4)/a^6 + (17*z^4)/a^4 - 
   (8*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56538] -> 2 - 4*a^2 + 5*a^4 - 2*a^6 + 11*z^2 - 
   30*a^2*z^2 + 27*a^4*z^2 - 7*a^6*z^2 + 19*z^4 - 58*a^2*z^4 + 44*a^4*z^4 - 
   9*a^6*z^4 + 15*z^6 - 54*a^2*z^6 + 34*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   28*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56539] -> 5*a^4 - 8*a^6 + 6*a^8 - 2*a^10 + 
   14*a^4*z^2 - 29*a^6*z^2 + 24*a^8*z^2 - 6*a^10*z^2 + 18*a^4*z^4 - 
   52*a^6*z^4 + 39*a^8*z^4 - 8*a^10*z^4 + 14*a^4*z^6 - 50*a^6*z^6 + 
   32*a^8*z^6 - 5*a^10*z^6 + 6*a^4*z^8 - 27*a^6*z^8 + 13*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 56540] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - a^10 + 
   4*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 
   11*a^4*z^4 - 8*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 56541] -> a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56542] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 7*z^4 + (2*z^4)/a^4 + 7*a^2*z^4 - 2*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56543] -> -2 + 2/a^2 + a^4 + 3*z^2 - z^2/a^2 - 
   8*a^2*z^2 + 3*a^4*z^2 + 28*z^4 - (11*z^4)/a^2 - 24*a^2*z^4 + 5*a^4*z^4 + 
   41*z^6 - (13*z^6)/a^2 - 26*a^2*z^6 + 4*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   12*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56544] -> 2*a^2 - a^4 + 2*z^2 - 5*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 11*z^4 - 29*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 + 
   13*z^6 - 41*a^2*z^6 + 26*a^4*z^6 - 4*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   12*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56545] -> -5 + 3/a^2 + 4*a^2 - 2*a^4 + a^6 - 5*z^2 + 
   6*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 6*z^4 - (5*z^4)/a^2 + 7*a^2*z^4 - 
   10*a^4*z^4 + 2*a^6*z^4 + 10*z^6 - (4*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + 
   a^6*z^6 + 5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56546] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (5*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56547] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 + 5*a^2*z^2 - 
   11*a^4*z^2 + 5*a^6*z^2 - 7*a^2*z^4 + 14*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 
   12*a^2*z^6 + 35*a^4*z^6 - 24*a^6*z^6 + 4*a^8*z^6 - 6*a^2*z^8 + 
   25*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 56548] -> 2 - a^2 - a^4 + a^6 + 2*z^2 - 
   6*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 + a^8*z^2 - 2*z^4 - 2*a^2*z^4 + 
   9*a^4*z^4 - 9*a^6*z^4 + 2*a^8*z^4 - 3*z^6 + 5*a^2*z^6 + 8*a^4*z^6 - 
   7*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56549] -> 4 - 8*a^2 + 7*a^4 - 2*a^6 + 
   12*z^2 - 36*a^2*z^2 + 32*a^4*z^2 - 9*a^6*z^2 + 21*z^4 - 66*a^2*z^4 + 
   54*a^4*z^4 - 12*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 42*a^4*z^6 - 6*a^6*z^6 + 
   7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56550] -> 
  -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 5*z^2 + (3*z^2)/a^2 - 8*a^2*z^2 + 
   12*a^4*z^2 - 4*a^6*z^2 - 8*z^4 + (5*z^4)/a^2 - 12*a^2*z^4 + 17*a^4*z^4 - 
   4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56551] -> 5 - 10*a^2 + 8*a^4 - 2*a^6 + 9*z^2 - 
   26*a^2*z^2 + 17*a^4*z^2 - 2*a^8*z^2 + 9*z^4 - 27*a^2*z^4 + 10*a^4*z^4 + 
   8*a^6*z^4 - 3*a^8*z^4 + 5*z^6 - 16*a^2*z^6 - 2*a^4*z^6 + 8*a^6*z^6 - 
   a^8*z^6 + z^8 - 6*a^2*z^8 - 4*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 56552] -> -1 + 2/a^2 - 3*a^2 + 4*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - a^8*z^2 - 3*z^4 + (2*z^4)/a^2 - 
   6*a^2*z^4 + 4*a^4*z^4 + 3*a^6*z^4 - a^8*z^4 - 2*z^6 + z^6/a^2 - 
   5*a^2*z^6 + 2*a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 56553] -> 8 - 2/a^2 - 8*a^2 + 3*a^4 + 34*z^2 - 
   (11*z^2)/a^2 - 34*a^2*z^2 + 10*a^4*z^2 + 65*z^4 - (21*z^4)/a^2 - 
   55*a^2*z^4 + 12*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 42*a^2*z^6 + 6*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56554] -> 
  2 - a^2 - a^4 + a^6 + 13*z^2 - (6*z^2)/a^2 - 6*a^2*z^2 - 6*a^4*z^2 + 
   3*a^6*z^2 + 22*z^4 - (9*z^4)/a^2 - 3*a^2*z^4 - 11*a^4*z^4 + 3*a^6*z^4 + 
   16*z^6 - (5*z^6)/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 56555] -> 
  -4 + 2/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 10*z^2 + z^2/a^2 + 19*a^2*z^2 - 
   18*a^4*z^2 + 5*a^6*z^2 - 2*z^4 - (4*z^4)/a^2 + 24*a^2*z^4 - 22*a^4*z^4 + 
   4*a^6*z^4 + 7*z^6 - (4*z^6)/a^2 + 16*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56556] -> a^(-2) - a^2 + a^4 - 3*z^2 + z^2/a^2 + 
   a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - (2*z^4)/a^2 + 6*a^2*z^4 - 8*a^4*z^4 + 
   2*a^6*z^4 + 5*z^6 - (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56557] -> -2 + 2/a^2 + 2*a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^2 - 2*a^2*z^2 + 5*a^4*z^2 - 7*a^6*z^2 + 2*a^8*z^2 + 4*z^4 - 
   (3*z^4)/a^2 + a^2*z^4 + 6*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - 
   z^6/a^2 + 3*a^2*z^6 + 4*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 56558] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 4*z^2 + 
   7*a^2*z^2 - 7*a^4*z^2 + 2*a^6*z^2 + 4*z^4 - (3*z^4)/a^2 + 5*a^2*z^4 - 
   8*a^4*z^4 + 2*a^6*z^4 + 7*z^6 - (3*z^6)/a^2 + 4*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56559] -> -5 + a^(-4) + a^(-2) + 6*a^2 - 3*a^4 + a^6 - 
   11*z^2 + z^2/a^2 + 13*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 - 
   (2*z^4)/a^4 + (5*z^4)/a^2 + 16*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 8*z^6 - 
   z^6/a^4 + (6*z^6)/a^2 + 11*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 56560] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 10*a^4*z^2 + 
   13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 11*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 56561] -> -1 + a^(-2) + a^2 - 5*z^2 - (3*z^2)/a^6 + 
   (8*z^2)/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - (6*z^4)/a^6 + 
   (15*z^4)/a^4 - (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56562] -> 
  -2 + 8*a^2 - 8*a^4 + 4*a^6 - a^8 - z^2 + 10*a^2*z^2 - 16*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 + 4*z^4 - a^2*z^4 - 16*a^4*z^4 + 15*a^6*z^4 - 
   3*a^8*z^4 + 4*z^6 - 8*a^2*z^6 - 11*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   5*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 56563] -> -2/a^10 + 5/a^8 - 6/a^6 + 4/a^4 - 
   (5*z^2)/a^10 + (23*z^2)/a^8 - (28*z^2)/a^6 + (13*z^2)/a^4 + z^2/a^2 - 
   (4*z^4)/a^10 + (30*z^4)/a^8 - (45*z^4)/a^6 + (9*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (34*z^6)/a^6 - (2*z^6)/a^4 + (4*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56564] -> -a^(-10) + 2/a^8 - 2/a^6 + 
   a^(-4) + a^(-2) - (2*z^2)/a^10 + (9*z^2)/a^8 - (5*z^2)/a^6 - (5*z^2)/a^4 + 
   (6*z^2)/a^2 + z^4 - z^4/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 - (13*z^4)/a^4 + 
   (5*z^4)/a^2 + z^6 + (3*z^6)/a^8 - (6*z^6)/a^6 - (10*z^6)/a^4 - 
   (2*z^8)/a^6 - (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 56565] -> 
  3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 13*a^4*z^2 - 25*a^6*z^2 + 23*a^8*z^2 - 
   6*a^10*z^2 + 22*a^4*z^4 - 59*a^6*z^4 + 43*a^8*z^4 - 8*a^10*z^4 + 
   18*a^4*z^6 - 62*a^6*z^6 + 36*a^8*z^6 - 5*a^10*z^6 + 7*a^4*z^8 - 
   33*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 56566] -> a^2 + a^8 - a^10 + 4*a^2*z^2 - 
   a^4*z^2 - 7*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 8*a^4*z^4 - 
   15*a^6*z^4 + 16*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 
   12*a^6*z^6 + 9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56567] -> 
  1 + a^(-4) - 2/a^2 + 4*a^2 - 5*a^4 + 2*a^6 - 6*z^2 - z^2/a^4 + z^2/a^2 + 
   14*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 13*z^4 - z^4/a^4 + (6*z^4)/a^2 + 
   22*a^2*z^4 - 13*a^4*z^4 + 2*a^6*z^4 - 10*z^6 + (3*z^6)/a^2 + 15*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 - 3*z^8 + 5*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 56568] -> 2*a^2 - a^4 + 2*z^2 - 5*a^2*z^2 + 
   6*a^4*z^2 - 2*a^6*z^2 + 11*z^4 - 29*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 + 
   13*z^6 - 41*a^2*z^6 + 26*a^4*z^6 - 4*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   12*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56569] -> -3 + a^(-2) + 6*a^2 - 4*a^4 + a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 8*a^2*z^2 - 3*a^4*z^2 - 10*z^4 + (5*z^4)/a^2 + a^2*z^4 + 
   6*a^4*z^4 - 2*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56570] -> 5 + a^(-4) - 3/a^2 - 2*a^2 - a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^4 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 56571] -> 
  1 + 2*a^2 - 5*a^4 + 5*a^6 - 3*a^8 + a^10 + 2*a^2*z^2 - 10*a^4*z^2 + 
   13*a^6*z^2 - 9*a^8*z^2 + 2*a^10*z^2 - 2*z^4 + 5*a^2*z^4 - 11*a^4*z^4 + 
   16*a^6*z^4 - 9*a^8*z^4 + a^10*z^4 - z^6 + 6*a^2*z^6 - 8*a^4*z^6 + 
   11*a^6*z^6 - 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 + 3*a^6*z^8 - a^4*z^10, 
 Knot[15, Alternating, 56572] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 8*z^2 - 
   (2*z^2)/a^4 + (9*z^2)/a^2 + 2*a^2*z^2 + 12*z^4 + (8*z^4)/a^4 - 
   (17*z^4)/a^2 - 3*a^2*z^4 + 23*z^6 + (12*z^6)/a^4 - (36*z^6)/a^2 - 
   4*a^2*z^6 + 12*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56573] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 6*z^2 + z^2/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + a^4*z^2 + 6*z^4 + (5*z^4)/a^4 - (11*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 - z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + 
   z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56574] -> 9 + a^(-4) - 4/a^2 - 8*a^2 + 3*a^4 + 
   19*z^2 - (2*z^2)/a^4 - (3*z^2)/a^2 - 23*a^2*z^2 + 7*a^4*z^2 + 20*z^4 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - 25*a^2*z^4 + 5*a^4*z^4 + 14*z^6 - 
   (5*z^6)/a^4 + (12*z^6)/a^2 - 12*a^2*z^6 + a^4*z^6 + 6*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56575] -> 
  3 + a^(-4) - 2/a^2 - a^2 - a^4 + a^6 + 7*z^2 - (2*z^2)/a^4 - z^2/a^2 - 
   5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 10*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 - 
   3*a^2*z^4 - 5*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 56576] -> -3 + a^(-4) + 6*a^2 - 5*a^4 + 2*a^6 - z^2 - 
   (3*z^2)/a^2 + 8*a^2*z^2 - 11*a^4*z^2 + 3*a^6*z^2 + 7*z^4 - (2*z^4)/a^4 - 
   z^4/a^2 + 5*a^2*z^4 - 8*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 + 3*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 56577] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 - 3*z^2 - 
   z^2/a^4 + (4*z^2)/a^2 - 7*z^4 + (2*z^4)/a^4 + 7*a^2*z^4 - 2*a^4*z^4 - 
   7*z^6 + (3*z^6)/a^4 - (5*z^6)/a^2 + 7*a^2*z^6 - a^4*z^6 - 4*z^8 + 
   z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56578] -> -1 + a^(-4) + 2*a^4 - 2*a^6 + a^8 - z^2 - 
   z^2/a^4 - z^2/a^2 + a^4*z^2 - 4*a^6*z^2 + a^8*z^2 + 3*z^4 - z^4/a^4 + 
   z^4/a^2 + 3*a^2*z^4 + a^4*z^4 - 2*a^6*z^4 + 2*z^6 + z^6/a^2 + 2*a^2*z^6 + 
   a^4*z^6, Knot[15, Alternating, 56579] -> 1 + 3*z^2 - z^2/a^2 - 2*a^2*z^2 - 
   2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4/a^2 + a^2*z^4 - 7*a^4*z^4 + 
   6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 4*a^2*z^6 - 8*a^4*z^6 + 
   3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 56580] -> 3 - 6*a^2 + 6*a^4 - 2*a^6 + 12*z^2 - 
   34*a^2*z^2 + 30*a^4*z^2 - 8*a^6*z^2 + 19*z^4 - 60*a^2*z^4 + 47*a^4*z^4 - 
   10*a^6*z^4 + 15*z^6 - 54*a^2*z^6 + 35*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   28*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56581] -> 6 - 2/a^2 - 3*a^2 - a^4 + a^6 + 
   11*z^2 - (4*z^2)/a^2 - 5*a^2*z^2 - 4*a^4*z^2 + 2*a^6*z^2 + 11*z^4 - 
   (4*z^4)/a^2 - a^2*z^4 - 7*a^4*z^4 + 2*a^6*z^4 + 8*z^6 - (3*z^6)/a^2 + 
   3*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 56582] -> 
  5*a^4 - 8*a^6 + 6*a^8 - 2*a^10 + 14*a^4*z^2 - 29*a^6*z^2 + 24*a^8*z^2 - 
   6*a^10*z^2 + 18*a^4*z^4 - 52*a^6*z^4 + 39*a^8*z^4 - 8*a^10*z^4 + 
   14*a^4*z^6 - 50*a^6*z^6 + 32*a^8*z^6 - 5*a^10*z^6 + 6*a^4*z^8 - 
   27*a^6*z^8 + 13*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 56583] -> a^2 + 2*a^4 - 4*a^6 + 3*a^8 - 
   a^10 + 4*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 
   6*a^2*z^4 - 11*a^4*z^4 - 8*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   11*a^4*z^6 - 7*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 56584] -> 4 - 8*a^2 + 7*a^4 - 2*a^6 + 10*z^2 - 
   30*a^2*z^2 + 26*a^4*z^2 - 7*a^6*z^2 + 16*z^4 - 51*a^2*z^4 + 41*a^4*z^4 - 
   9*a^6*z^4 + 14*z^6 - 49*a^2*z^6 + 33*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56585] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - 
   a^6 - 3*z^2 + (2*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56586] -> 
  1 - a^2 + 3*a^4 - 3*a^6 + a^8 - a^2*z^2 + 5*a^4*z^2 - 6*a^6*z^2 + 
   2*a^8*z^2 - 3*z^4 + 4*a^2*z^4 + 4*a^4*z^4 - 8*a^6*z^4 + 2*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 4*a^4*z^6 - 6*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56587] -> 2 - 2*a^2 + a^4 + 3*z^2 - 9*a^2*z^2 + 
   7*a^4*z^2 - 2*a^6*z^2 + 7*z^4 - 22*a^2*z^4 + 19*a^4*z^4 - 5*a^6*z^4 + 
   9*z^6 - 29*a^2*z^6 + 22*a^4*z^6 - 4*a^6*z^6 + 5*z^8 - 20*a^2*z^8 + 
   11*a^4*z^8 - a^6*z^8 + z^10 - 7*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 56588] -> 2*a^2 - 3*a^6 + 3*a^8 - a^10 + 4*a^2*z^2 - 
   4*a^4*z^2 - 4*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 4*a^2*z^4 - 9*a^4*z^4 - 
   4*a^6*z^4 + 8*a^8*z^4 - 2*a^10*z^4 + 3*a^2*z^6 - 8*a^4*z^6 - 4*a^6*z^6 + 
   6*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56589] -> 
  5 - 10*a^2 + 8*a^4 - 2*a^6 + 11*z^2 - 34*a^2*z^2 + 29*a^4*z^2 - 8*a^6*z^2 + 
   16*z^4 - 53*a^2*z^4 + 44*a^4*z^4 - 10*a^6*z^4 + 14*z^6 - 49*a^2*z^6 + 
   34*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56590] -> 
  -1 + 2/a^2 - 3*a^2 + 4*a^4 - a^6 - 7*z^2 + (3*z^2)/a^2 - 4*a^2*z^2 + 
   8*a^4*z^2 - 3*a^6*z^2 - 11*z^4 + (5*z^4)/a^2 - 3*a^2*z^4 + 11*a^4*z^4 - 
   3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56591] -> 10 - 3/a^2 - 9*a^2 + 3*a^4 + 32*z^2 - 
   (10*z^2)/a^2 - 31*a^2*z^2 + 9*a^4*z^2 + 52*z^4 - (16*z^4)/a^2 - 
   45*a^2*z^4 + 10*a^4*z^4 + 49*z^6 - (14*z^6)/a^2 - 34*a^2*z^6 + 5*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56592] -> 
  4 - a^(-2) - 2*a^2 - a^4 + a^6 + 9*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 13*z^4 - (6*z^4)/a^2 + 3*a^2*z^4 - 12*a^4*z^4 + 
   3*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 6*a^2*z^6 - 8*a^4*z^6 + a^6*z^6 + 
   5*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56593] -> 5 + a^(-4) - 3/a^2 - 2*a^2 - a^4 + a^6 + 
   5*z^2 - (2*z^2)/a^4 - 2*a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 - 3*z^4 - 
   (3*z^4)/a^4 + (8*z^4)/a^2 + 7*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 - 7*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 9*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 56594] -> 
  4*a^2 - 6*a^4 + 4*a^6 - a^8 - 2*z^2 + 10*a^2*z^2 - 17*a^4*z^2 + 
   12*a^6*z^2 - 3*a^8*z^2 + z^4 + 6*a^2*z^4 - 19*a^4*z^4 + 15*a^6*z^4 - 
   3*a^8*z^4 + 3*z^6 - 3*a^2*z^6 - 12*a^4*z^6 + 9*a^6*z^6 - a^8*z^6 + z^8 - 
   4*a^2*z^8 - 5*a^4*z^8 + 2*a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 56595] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 13*a^2*z^2 - 3*a^4*z^2 - 21*z^4 + (2*z^4)/a^4 + 
   (4*z^4)/a^2 + 16*a^2*z^4 - 3*a^4*z^4 - 13*z^6 + (3*z^6)/a^4 - 
   (4*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56596] -> 
  -2 + a^(-2) + 5*a^2 - 5*a^4 + 2*a^6 - 8*z^2 + z^2/a^2 + 16*a^2*z^2 - 
   15*a^4*z^2 + 4*a^6*z^2 - 4*z^4 - (2*z^4)/a^2 + 20*a^2*z^4 - 17*a^4*z^4 + 
   3*a^6*z^4 + 4*z^6 - (3*z^6)/a^2 + 13*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 
   4*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56597] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 14*z^2 + 
   (4*z^2)/a^2 + 15*a^2*z^2 - 9*a^4*z^2 + 2*a^6*z^2 - 11*z^4 + z^4/a^2 + 
   17*a^2*z^4 - 11*a^4*z^4 + 2*a^6*z^4 - (2*z^6)/a^2 + 10*a^2*z^6 - 
   7*a^4*z^6 + a^6*z^6 + 3*z^8 - z^8/a^2 + 4*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 56598] -> -3 + 3/a^6 - 8/a^4 + 8/a^2 + 
   a^2 - 9*z^2 + (4*z^2)/a^6 - (13*z^2)/a^4 + (13*z^2)/a^2 + 3*a^2*z^2 - 
   12*z^4 - z^4/a^6 - (5*z^4)/a^4 + (10*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (3*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56599] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 12*z^2 - 
   z^2/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 + (3*z^4)/a^4 - 
   (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - (7*z^6)/a^2 + 
   6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 56600] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 5*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 - a^4*z^4 + z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 56601] -> 5*a^2 - 8*a^4 + 5*a^6 - a^8 + 
   3*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 - 6*a^2*z^4 + 14*a^4*z^4 - 14*a^6*z^4 + 
   4*a^8*z^4 - 9*a^2*z^6 + 28*a^4*z^6 - 21*a^6*z^6 + 4*a^8*z^6 - 5*a^2*z^8 + 
   20*a^4*z^8 - 11*a^6*z^8 + a^8*z^8 - a^2*z^10 + 7*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 56602] -> -6 - 3/a^4 + 8/a^2 + 2*a^2 - 
   12*z^2 - z^2/a^4 + (9*z^2)/a^2 + 6*a^2*z^2 - a^4*z^2 - 9*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 8*a^2*z^4 - 2*a^4*z^4 - 5*z^6 + (3*z^6)/a^4 - 
   (7*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 3*z^8 + z^8/a^4 - (4*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56603] -> 
  -a^(-10) + 2/a^8 - 2/a^6 + a^(-4) + a^(-2) - (2*z^2)/a^10 + (8*z^2)/a^8 - 
   (4*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 + z^4 - z^4/a^10 + (10*z^4)/a^8 - 
   (8*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 + z^6 + (4*z^6)/a^8 - 
   (8*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^6 - (4*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 56604] -> a^(-4) - a^(-2) + a^2 + 4*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 - a^2*z^2 + 6*z^4 + (4*z^4)/a^4 - (12*z^4)/a^2 + 
   a^2*z^4 - a^4*z^4 + z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 4*a^2*z^6 - 
   a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56605] -> 7*a^4 - 12*a^6 + 8*a^8 - 2*a^10 + 
   13*a^4*z^2 - 29*a^6*z^2 + 23*a^8*z^2 - 6*a^10*z^2 + 15*a^4*z^4 - 
   45*a^6*z^4 + 36*a^8*z^4 - 8*a^10*z^4 + 13*a^4*z^6 - 45*a^6*z^6 + 
   31*a^8*z^6 - 5*a^10*z^6 + 6*a^4*z^8 - 26*a^6*z^8 + 13*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 56606] -> 3*a^2 - 2*a^4 - 2*a^6 + 3*a^8 - a^10 + 
   3*a^2*z^2 - 2*a^4*z^2 - 8*a^6*z^2 + 10*a^8*z^2 - 3*a^10*z^2 + 3*a^2*z^4 - 
   4*a^4*z^4 - 11*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 6*a^4*z^6 - 
   8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   2*a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56607] -> 
  4 - 8*a^2 + 7*a^4 - 2*a^6 + 10*z^2 - 30*a^2*z^2 + 26*a^4*z^2 - 7*a^6*z^2 + 
   16*z^4 - 51*a^2*z^4 + 41*a^4*z^4 - 9*a^6*z^4 + 14*z^6 - 49*a^2*z^6 + 
   33*a^4*z^6 - 5*a^6*z^6 + 6*z^8 - 27*a^2*z^8 + 13*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56608] -> 
  12 - 4/a^2 - 10*a^2 + 3*a^4 + 28*z^2 - (8*z^2)/a^2 - 27*a^2*z^2 + 
   8*a^4*z^2 + 43*z^4 - (13*z^4)/a^2 - 39*a^2*z^4 + 9*a^4*z^4 + 44*z^6 - 
   (13*z^6)/a^2 - 32*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56609] -> 3 - a^(-2) - 2*a^4 + a^6 + 11*z^2 - 
   (4*z^2)/a^2 - 6*a^2*z^2 - 3*a^4*z^2 + 2*a^6*z^2 + 16*z^4 - (6*z^4)/a^2 - 
   6*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 12*z^6 - (4*z^6)/a^2 + a^2*z^6 - 
   6*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 56610] -> 1 + a^(-2) - 4*a^2 + 4*a^4 - 
   a^6 - 3*z^2 + (2*z^2)/a^2 - 7*a^2*z^2 + 9*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56611] -> 
  a^(-10) - 5/a^8 + 7/a^6 - 4/a^4 + 2/a^2 - z^2/a^10 + (10*z^2)/a^6 - 
   (13*z^2)/a^4 + (7*z^2)/a^2 + z^4 - z^4/a^10 + (8*z^4)/a^8 - z^4/a^6 - 
   (18*z^4)/a^4 + (7*z^4)/a^2 + z^6 + (4*z^6)/a^8 - (7*z^6)/a^6 - 
   (13*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^6 - (4*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 56612] -> -2 + 2/a^2 - a^2 + 3*a^4 - a^6 - 4*z^2 + 
   (2*z^2)/a^2 - 4*a^2*z^2 + 4*a^4*z^2 + a^6*z^2 - a^8*z^2 - 5*z^4 + 
   (2*z^4)/a^2 - 3*a^4*z^4 + 5*a^6*z^4 - a^8*z^4 - 5*z^6 + z^6/a^2 + 
   4*a^2*z^6 - 7*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + 
   a^2*z^10, Knot[15, Alternating, 56613] -> 1 - a^(-4) + 2/a^2 - 2*a^2 + 
   a^4 + 5*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 - 4*a^2*z^2 + a^4*z^2 + 6*z^4 + 
   (4*z^4)/a^4 - (11*z^4)/a^2 - a^4*z^4 + z^6 + (3*z^6)/a^4 - (9*z^6)/a^2 + 
   4*a^2*z^6 - a^4*z^6 - 2*z^8 + z^8/a^4 - (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - 
   z^10/a^2, Knot[15, Alternating, 56614] -> 1 + 3*z^2 - z^2/a^2 - 
   2*a^2*z^2 - 2*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + z^4/a^2 + a^2*z^4 - 
   7*a^4*z^4 + 6*a^6*z^4 - a^8*z^4 - 4*z^6 + z^6/a^2 + 4*a^2*z^6 - 
   8*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 - 3*a^4*z^8 + a^2*z^10, 
 Knot[15, Alternating, 56615] -> 3*a^2 - 3*a^4 + a^6 + 7*a^2*z^2 - 
   12*a^4*z^2 + 2*a^6*z^2 + 5*a^8*z^2 - 2*a^10*z^2 + 6*a^2*z^4 - 16*a^4*z^4 - 
   2*a^6*z^4 + 10*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 11*a^4*z^6 - 5*a^6*z^6 + 
   8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56616] -> 
  1 + a^2 - 2*a^4 + a^6 + 2*z^2 - a^2*z^2 - 5*a^4*z^2 + 2*a^6*z^2 + 
   2*a^8*z^2 - a^10*z^2 + z^4 - 2*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 3*a^8*z^4 - 
   a^10*z^4 + z^6 - a^2*z^6 - 4*a^4*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - 
   a^6*z^8, Knot[15, Alternating, 56617] -> -1 - 2/a^4 + 4/a^2 - 4*z^2 - 
   (5*z^2)/a^4 + (13*z^2)/a^2 - 5*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - (5*z^4)/a^4 + 
   (15*z^4)/a^2 - 11*a^2*z^4 + 4*a^4*z^4 + 3*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56618] -> 
  -a^(-4) + 2/a^2 + 2*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 4*a^2*z^2 + a^6*z^2 + 
   4*z^4 - (2*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 2*a^4*z^4 + a^6*z^4 + 
   4*z^6 - z^6/a^4 + (2*z^6)/a^2 - a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 56619] -> 3*a^4 - 4*a^6 + 4*a^8 - 2*a^10 + 
   13*a^4*z^2 - 25*a^6*z^2 + 23*a^8*z^2 - 6*a^10*z^2 + 22*a^4*z^4 - 
   59*a^6*z^4 + 43*a^8*z^4 - 8*a^10*z^4 + 18*a^4*z^6 - 62*a^6*z^6 + 
   36*a^8*z^6 - 5*a^10*z^6 + 7*a^4*z^8 - 33*a^6*z^8 + 14*a^8*z^8 - a^10*z^8 + 
   a^4*z^10 - 9*a^6*z^10 + 2*a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 56620] -> a^2 + a^8 - a^10 + 4*a^2*z^2 - a^4*z^2 - 
   7*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 6*a^2*z^4 - 8*a^4*z^4 - 15*a^6*z^4 + 
   16*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 10*a^4*z^6 - 12*a^6*z^6 + 
   9*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 5*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56621] -> 
  4*a^4 - 6*a^6 + 5*a^8 - 2*a^10 + 3*a^2*z^2 + 4*a^4*z^2 - 15*a^6*z^2 + 
   16*a^8*z^2 - 4*a^10*z^2 + 7*a^2*z^4 - 8*a^4*z^4 - 19*a^6*z^4 + 
   20*a^8*z^4 - 4*a^10*z^4 + 5*a^2*z^6 - 12*a^4*z^6 - 14*a^6*z^6 + 
   11*a^8*z^6 - a^10*z^6 + a^2*z^8 - 6*a^4*z^8 - 6*a^6*z^8 + 2*a^8*z^8 - 
   a^4*z^10 - a^6*z^10, Knot[15, Alternating, 56622] -> 
  a^2 + a^4 - 2*a^6 + 2*a^8 - a^10 + z^2 + 3*a^2*z^2 - 4*a^4*z^2 - 
   2*a^6*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + 2*z^4 - 10*a^4*z^4 - 2*a^6*z^4 + 
   6*a^8*z^4 - a^10*z^4 + z^6 - 2*a^2*z^6 - 7*a^4*z^6 - 2*a^6*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 56623] -> 
  2*a^2 - 3*a^4 + 4*a^6 - 2*a^8 + 7*a^2*z^2 - 14*a^4*z^2 + 11*a^6*z^2 - 
   a^10*z^2 + 9*a^2*z^4 - 22*a^4*z^4 + 5*a^6*z^4 + 7*a^8*z^4 - 2*a^10*z^4 + 
   5*a^2*z^6 - 16*a^4*z^6 - 4*a^6*z^6 + 7*a^8*z^6 - a^10*z^6 + a^2*z^8 - 
   6*a^4*z^8 - 4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 56624] -> 2*a^2 - 2*a^4 + 2*a^6 - a^8 + 2*z^2 - 
   5*a^4*z^2 + 5*a^6*z^2 + a^8*z^2 - a^10*z^2 + 3*z^4 - 3*a^2*z^4 - 
   9*a^4*z^4 + 3*a^6*z^4 + 4*a^8*z^4 - a^10*z^4 + z^6 - 3*a^2*z^6 - 
   7*a^4*z^6 - a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 56625] -> 1 - a^2 + a^4 + a^6 - a^8 + 3*z^2 - 
   5*a^2*z^2 + 3*a^4*z^2 - a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + 3*z^4 - 
   7*a^2*z^4 - 4*a^6*z^4 + 5*a^8*z^4 - a^10*z^4 + z^6 - 4*a^2*z^6 - 
   2*a^4*z^6 - 3*a^6*z^6 + 2*a^8*z^6 - a^2*z^8 - a^4*z^8 - a^6*z^8, 
 Knot[15, Alternating, 56626] -> 1 - a^2 + 2*a^4 - a^6 + z^2/a^2 - 
   2*a^2*z^2 + a^4*z^2 + 2*a^8*z^2 - a^10*z^2 - z^4 + z^4/a^2 - 3*a^2*z^4 - 
   2*a^4*z^4 + 2*a^8*z^4 - z^6 - 2*a^2*z^6 - 2*a^4*z^6 - a^6*z^6, 
 Knot[15, Alternating, 56627] -> a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 
   4*a^2*z^2 - 2*a^4*z^2 - 6*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 5*a^2*z^4 - 
   10*a^4*z^4 - 7*a^6*z^4 + 12*a^8*z^4 - 3*a^10*z^4 + 4*a^2*z^6 - 
   10*a^4*z^6 - 6*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 5*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 56628] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2 + 
   3*a^2*z^2 - 7*a^4*z^2 + 4*a^6*z^2 + 3*a^8*z^2 - a^10*z^2 + z^4 - 
   9*a^4*z^4 + 2*a^6*z^4 + 3*a^8*z^4 - a^10*z^4 + z^6 - a^2*z^6 - 5*a^4*z^6 + 
   2*a^8*z^6 - a^2*z^8 - 2*a^4*z^8 - a^6*z^8, Knot[15, Alternating, 56629] -> 
  a^2 + a^4 - 3*a^6 + 4*a^8 - 2*a^10 + 4*a^2*z^2 + 2*a^4*z^2 - 16*a^6*z^2 + 
   19*a^8*z^2 - 5*a^10*z^2 + 5*a^2*z^4 - 32*a^6*z^4 + 26*a^8*z^4 - 
   4*a^10*z^4 + 4*a^2*z^6 - 4*a^4*z^6 - 28*a^6*z^6 + 15*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 12*a^6*z^8 + 3*a^8*z^8 - a^4*z^10 - 2*a^6*z^10, 
 Knot[15, Alternating, 56630] -> 2*a^2 - 2*a^4 + a^6 + a^8 - a^10 + z^2 + 
   4*a^2*z^2 - 7*a^4*z^2 + 7*a^8*z^2 - 2*a^10*z^2 + z^4 + 3*a^2*z^4 - 
   12*a^4*z^4 - 5*a^6*z^4 + 8*a^8*z^4 - a^10*z^4 + z^6 - 9*a^4*z^6 - 
   5*a^6*z^6 + 3*a^8*z^6 - a^2*z^8 - 3*a^4*z^8 - 2*a^6*z^8, 
 Knot[15, Alternating, 56631] -> -3/a^10 + 7/a^8 - 7/a^6 + 4/a^4 - 
   (9*z^2)/a^10 + (34*z^2)/a^8 - (37*z^2)/a^6 + (17*z^2)/a^4 - (9*z^4)/a^10 + 
   (52*z^4)/a^8 - (72*z^4)/a^6 + (26*z^4)/a^4 - (5*z^6)/a^10 + (38*z^6)/a^8 - 
   (68*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + 
   (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 56632] -> -2/a^10 + 4/a^8 - 3/a^6 + a^(-4) + a^(-2) - 
   (4*z^2)/a^10 + (15*z^2)/a^8 - (10*z^2)/a^6 - (2*z^2)/a^4 + (5*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (17*z^4)/a^6 - (10*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (13*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56633] -> -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 12*z^2 + 
   (3*z^2)/a^2 + 14*a^2*z^2 - 10*a^4*z^2 + 4*a^6*z^2 - a^8*z^2 - 13*z^4 + 
   (3*z^4)/a^2 + 19*a^2*z^4 - 15*a^4*z^4 + 7*a^6*z^4 - a^8*z^4 - 8*z^6 + 
   z^6/a^2 + 13*a^2*z^6 - 11*a^4*z^6 + 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 - 
   3*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 56634] -> 
  a^(-4) - a^(-2) + 2*a^2 - 2*a^4 + a^6 + z^2/a^4 - (4*z^2)/a^2 + 4*a^2*z^2 - 
   6*a^4*z^2 + 3*a^6*z^2 - a^8*z^2 + 2*z^4 + z^4/a^4 - (3*z^4)/a^2 + 
   4*a^2*z^4 - 5*a^4*z^4 + 3*a^6*z^4 + z^6 - (2*z^6)/a^2 + a^2*z^6 - 
   3*a^4*z^6 + z^8 + a^2*z^8, Knot[15, Alternating, 56635] -> 
  -a^(-6) + a^(-4) + a^(-2) + 8*z^2 - (6*z^2)/a^6 + (21*z^2)/a^4 - 
   (21*z^2)/a^2 + 20*z^4 - (9*z^4)/a^6 + (44*z^4)/a^4 - (57*z^4)/a^2 + 
   18*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (61*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56636] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 
   27*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 11*a^2*z^2 + 61*z^4 + (8*z^4)/a^4 - 
   (40*z^4)/a^2 - 21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (36*z^6)/a^2 - 
   18*a^2*z^6 + 33*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 56637] -> 
  -2/a^10 + 7/a^8 - 10/a^6 + 6/a^4 - (7*z^2)/a^10 + (31*z^2)/a^8 - 
   (41*z^2)/a^6 + (19*z^2)/a^4 - (9*z^4)/a^10 + (50*z^4)/a^8 - (74*z^4)/a^6 + 
   (26*z^4)/a^4 - (5*z^6)/a^10 + (38*z^6)/a^8 - (68*z^6)/a^6 + (19*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 56638] -> 
  a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 + (6*z^2)/a^8 - (30*z^2)/a^6 + 
   (46*z^2)/a^4 - (16*z^2)/a^2 + (9*z^4)/a^8 - (49*z^4)/a^6 + (76*z^4)/a^4 - 
   (25*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56639] -> 
  -a^(-6) + a^(-4) + a^(-2) + 4*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (9*z^2)/a^2 + 12*z^4 - (5*z^4)/a^6 + (24*z^4)/a^4 - (33*z^4)/a^2 + 
   13*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56640] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 + 
   z^2 + (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 7*z^4 - (8*z^4)/a^6 + 
   (21*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + (37*z^6)/a^4 - 
   (29*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (25*z^8)/a^4 - (13*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56641] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 17*z^2 - 
   (5*z^2)/a^4 + (16*z^2)/a^2 + 4*a^2*z^2 + 2*z^4 + (2*z^4)/a^2 - 3*a^2*z^4 + 
   18*z^6 + (7*z^6)/a^4 - (18*z^6)/a^2 - 4*a^2*z^6 + 11*z^8 + (5*z^8)/a^4 - 
   (18*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56642] -> -4/a^10 + 17/a^8 - 24/a^6 + 12/a^4 - 
   (18*z^2)/a^10 + (64*z^2)/a^8 - (76*z^2)/a^6 + (28*z^2)/a^4 - 
   (30*z^4)/a^10 + (100*z^4)/a^8 - (98*z^4)/a^6 + (23*z^4)/a^4 - 
   (23*z^6)/a^10 + (84*z^6)/a^8 - (61*z^6)/a^6 + (8*z^6)/a^4 - (8*z^8)/a^10 + 
   (40*z^8)/a^8 - (18*z^8)/a^6 + z^8/a^4 - z^10/a^10 + (10*z^10)/a^8 - 
   (2*z^10)/a^6 + z^12/a^8, Knot[15, Alternating, 56643] -> 
  6 - 3/a^6 + 11/a^4 - 13/a^2 + 13*z^2 - (13*z^2)/a^6 + (42*z^2)/a^4 - 
   (44*z^2)/a^2 + 13*z^4 - (22*z^4)/a^6 + (70*z^4)/a^4 - (61*z^4)/a^2 + 
   6*z^6 - (18*z^6)/a^6 + (64*z^6)/a^4 - (43*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56644] -> -3/a^10 + 11/a^8 - 11/a^6 + 
   4/a^2 - (10*z^2)/a^10 + (29*z^2)/a^8 - (20*z^2)/a^6 - (10*z^2)/a^4 + 
   (8*z^2)/a^2 - (12*z^4)/a^10 + (32*z^4)/a^8 - (9*z^4)/a^6 - (19*z^4)/a^4 + 
   (5*z^4)/a^2 - (6*z^6)/a^10 + (20*z^6)/a^8 + (5*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 56645] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 
   7*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - 
   z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + 
   (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56646] -> 
  5 - 2/a^2 - 2*a^2 + 32*z^2 - (11*z^2)/a^2 - 27*a^2*z^2 + 8*a^4*z^2 + 
   65*z^4 - (21*z^4)/a^2 - 53*a^2*z^4 + 12*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 
   42*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 
   9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 56647] -> 
  9 - 3/a^2 - 7*a^2 + 2*a^4 + 18*z^2 - (2*z^2)/a^4 - (2*z^2)/a^2 - 
   18*a^2*z^2 + 5*a^4*z^2 + 17*z^4 - (5*z^4)/a^4 + (6*z^4)/a^2 - 19*a^2*z^4 + 
   4*a^4*z^4 + 11*z^6 - (4*z^6)/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56648] -> 13 + 4/a^4 - 12/a^2 - 4*a^2 + 42*z^2 + 
   (14*z^2)/a^4 - (44*z^2)/a^2 - 12*a^2*z^2 + 60*z^4 + (22*z^4)/a^4 - 
   (71*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (64*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56649] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 + 10*z^2 - 29*a^2*z^2 + 30*a^4*z^2 - 9*a^6*z^2 + 
   21*z^4 - 64*a^2*z^4 + 54*a^4*z^4 - 12*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 
   42*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + 
   z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56650] -> 
  5 - a^(-2) - 7*a^2 + 6*a^4 - 2*a^6 + 4*z^2 + z^2/a^2 - 16*a^2*z^2 + 
   17*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 19*a^4*z^4 - 
   4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56651] -> 2 + a^(-6) - a^(-4) - a^(-2) + 9*z^2 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (24*z^2)/a^2 + 12*z^4 - (17*z^4)/a^6 + 
   (51*z^4)/a^4 - (50*z^4)/a^2 + 6*z^6 - (17*z^6)/a^6 + (57*z^6)/a^4 - 
   (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (32*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56652] -> a^(-8) - 2/a^6 + 2/a^2 + (8*z^2)/a^8 - 
   (23*z^2)/a^6 + (20*z^2)/a^4 - (5*z^2)/a^2 + (18*z^4)/a^8 - (55*z^4)/a^6 + 
   (46*z^4)/a^4 - (11*z^4)/a^2 + (17*z^6)/a^8 - (58*z^6)/a^6 + (40*z^6)/a^4 - 
   (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + 
   z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 56653] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 36*z^2 - 
   (11*z^2)/a^2 - 39*a^2*z^2 + 12*a^4*z^2 + 66*z^4 - (21*z^4)/a^2 - 
   59*a^2*z^4 + 13*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56654] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 39*z^2 + (11*z^2)/a^4 - (36*z^2)/a^2 - 
   12*a^2*z^2 + 59*z^4 + (21*z^4)/a^4 - (66*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (63*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56655] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 + 8*z^4 - (9*z^4)/a^6 + 
   (27*z^4)/a^4 - (30*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + (38*z^6)/a^4 - 
   (30*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (25*z^8)/a^4 - (13*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56656] -> 23 - 8/a^2 - 20*a^2 + 6*a^4 + 71*z^2 - 
   (20*z^2)/a^2 - 72*a^2*z^2 + 23*a^4*z^2 + 90*z^4 - (18*z^4)/a^2 - 
   109*a^2*z^4 + 34*a^4*z^4 + 56*z^6 - (7*z^6)/a^2 - 89*a^2*z^6 + 
   24*a^4*z^6 + 17*z^8 - z^8/a^2 - 41*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56657] -> 
  5/a^8 - 20/a^6 + 24/a^4 - 8/a^2 + (14*z^2)/a^8 - (62*z^2)/a^6 + 
   (82*z^2)/a^4 - (28*z^2)/a^2 + (14*z^4)/a^8 - (80*z^4)/a^6 + 
   (119*z^4)/a^4 - (38*z^4)/a^2 + (6*z^6)/a^8 - (51*z^6)/a^6 + (94*z^6)/a^4 - 
   (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - (8*z^8)/a^2 - 
   (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56658] -> 4 - 5/a^6 + 13/a^4 - 11/a^2 + 16*z^2 - 
   (10*z^2)/a^6 + (41*z^2)/a^4 - (45*z^2)/a^2 + 25*z^4 - (10*z^4)/a^6 + 
   (55*z^4)/a^4 - (76*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - 
   (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56659] -> 
  -4/a^6 + 7/a^4 - 2/a^2 + (6*z^2)/a^8 - (26*z^2)/a^6 + (38*z^2)/a^4 - 
   (13*z^2)/a^2 + (9*z^4)/a^8 - (48*z^4)/a^6 + (71*z^4)/a^4 - (24*z^4)/a^2 + 
   (5*z^6)/a^8 - (38*z^6)/a^6 + (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - 
   (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56660] -> 
  -a^(-8) + 2/a^4 - 4*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (4*z^2)/a^4 + 
   (7*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (7*z^4)/a^4 + 
   (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + 
   (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56661] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56662] -> 
  -7 + 2/a^2 + 10*a^2 - 4*a^4 - 17*z^2 - z^2/a^4 + (8*z^2)/a^2 + 14*a^2*z^2 - 
   2*a^4*z^2 - 14*z^4 - (4*z^4)/a^4 + (12*z^4)/a^2 + a^2*z^4 + 2*a^4*z^4 - 
   2*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 6*a^2*z^6 + a^4*z^6 + 3*z^8 - 
   z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56663] -> 2 + a^(-6) - a^(-4) - a^(-2) + 9*z^2 - 
   (5*z^2)/a^6 + (18*z^2)/a^4 - (24*z^2)/a^2 + 12*z^4 - (17*z^4)/a^6 + 
   (51*z^4)/a^4 - (50*z^4)/a^2 + 6*z^6 - (17*z^6)/a^6 + (57*z^6)/a^4 - 
   (41*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (32*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56664] -> 8 - 4/a^6 + 15/a^4 - 18/a^2 + 20*z^2 - 
   (20*z^2)/a^6 + (64*z^2)/a^4 - (67*z^2)/a^2 + 18*z^4 - (33*z^4)/a^6 + 
   (104*z^4)/a^4 - (89*z^4)/a^2 + 7*z^6 - (24*z^6)/a^6 + (88*z^6)/a^4 - 
   (56*z^6)/a^2 + z^8 - (8*z^8)/a^6 + (41*z^8)/a^4 - (17*z^8)/a^2 - 
   z^10/a^6 + (10*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56665] -> -5 - 2/a^6 + 6/a^4 - 2/a^2 + 4*a^2 - 
   21*z^2 - (9*z^2)/a^6 + (19*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 25*z^4 - 
   (12*z^4)/a^6 + (26*z^4)/a^4 + (8*z^4)/a^2 + 5*a^2*z^4 - 12*z^6 - 
   (6*z^6)/a^6 + (19*z^6)/a^4 + (12*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56666] -> 4 + 3/a^4 - 6/a^2 - (4*z^2)/a^6 + 
   (12*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (8*z^4)/a^6 + 
   (19*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56667] -> 
  9 - 3/a^2 - 7*a^2 + 2*a^4 + 42*z^2 - (14*z^2)/a^2 - 38*a^2*z^2 + 
   11*a^4*z^2 + 75*z^4 - (24*z^4)/a^2 - 61*a^2*z^4 + 13*a^4*z^4 + 68*z^6 - 
   (19*z^6)/a^2 - 44*a^2*z^6 + 6*a^4*z^6 + 34*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56668] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 5*z^2 + 
   11*a^2*z^2 + 3*a^4*z^2 - 9*a^6*z^2 + 4*a^8*z^2 - 8*z^4 + 17*a^2*z^4 + 
   5*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 14*a^2*z^6 + 8*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56669] -> 
  -2 + 6*a^2 - 3*a^4 - 2*z^2 - z^2/a^2 + 12*a^2*z^2 - 6*a^4*z^2 - 2*a^6*z^2 + 
   2*a^8*z^2 - (2*z^4)/a^2 + 11*a^2*z^4 - 4*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 
   2*z^6 - z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 56670] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 
   2*z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 3*a^6*z^2 - 9*z^4 + 
   (5*z^4)/a^2 - 6*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56671] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 33*z^2 + (9*z^2)/a^4 - (30*z^2)/a^2 - 
   11*a^2*z^2 + 57*z^4 + (20*z^4)/a^4 - (62*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + 
   (18*z^6)/a^4 - (62*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56672] -> 1 + 7*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 15*z^4 + (7*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56673] -> 9 - 2/a^4 + a^(-2) - 11*a^2 + 4*a^4 + 
   14*z^2 - (5*z^2)/a^4 + (10*z^2)/a^2 - 30*a^2*z^2 + 12*a^4*z^2 + 3*z^4 - 
   (4*z^4)/a^4 + (17*z^4)/a^2 - 34*a^2*z^4 + 13*a^4*z^4 - 7*z^6 - z^6/a^4 + 
   (10*z^6)/a^2 - 21*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56674] -> 
  3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + (9*z^2)/a^8 - (38*z^2)/a^6 + 
   (49*z^2)/a^4 - (16*z^2)/a^2 + (10*z^4)/a^8 - (54*z^4)/a^6 + (77*z^4)/a^4 - 
   (25*z^4)/a^2 + (5*z^6)/a^8 - (39*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 56675] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 13*z^2 - (7*z^2)/a^6 + (29*z^2)/a^4 - 
   (34*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + (49*z^4)/a^4 - (70*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56676] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (11*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (10*z^4)/a^4 - (19*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56677] -> a^(-8) - 2/a^6 + 2/a^2 + (8*z^2)/a^8 - 
   (23*z^2)/a^6 + (20*z^2)/a^4 - (5*z^2)/a^2 + (18*z^4)/a^8 - (55*z^4)/a^6 + 
   (46*z^4)/a^4 - (11*z^4)/a^2 + (17*z^6)/a^8 - (58*z^6)/a^6 + (40*z^6)/a^4 - 
   (6*z^6)/a^2 + (7*z^8)/a^8 - (32*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + 
   z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 56678] -> 8 - a^(-8) + 10/a^4 - 16/a^2 + 12*z^2 - 
   (7*z^2)/a^8 + (8*z^2)/a^6 + (21*z^2)/a^4 - (38*z^2)/a^2 + 6*z^4 - 
   (11*z^4)/a^8 + (18*z^4)/a^6 + (24*z^4)/a^4 - (35*z^4)/a^2 + z^6 - 
   (6*z^6)/a^8 + (17*z^6)/a^6 + (18*z^6)/a^4 - (14*z^6)/a^2 - z^8/a^8 + 
   (7*z^8)/a^6 + (7*z^8)/a^4 - (2*z^8)/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 56679] -> -5 - a^(-8) + 2/a^6 + a^(-4) + 4*a^2 - 
   12*z^2 - (4*z^2)/a^8 + (4*z^2)/a^6 + (6*z^2)/a^4 - (3*z^2)/a^2 + 
   4*a^2*z^2 - 9*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + (12*z^4)/a^4 + a^2*z^4 - 
   2*z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 56680] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - z^2 + (5*z^2)/a^8 - (13*z^2)/a^6 + 
   (9*z^2)/a^4 - z^2/a^2 - 3*z^4 + (8*z^4)/a^8 - (20*z^4)/a^6 + (5*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56681] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   15*a^2*z^2 + 5*a^4*z^2 + 9*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 18*a^2*z^4 + 
   4*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56682] -> 4 + 3/a^4 - 6/a^2 - (4*z^2)/a^6 + 
   (12*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (8*z^4)/a^6 + 
   (19*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56683] -> 
  8 + 3/a^4 - 8/a^2 - 2*a^2 + 38*z^2 + (14*z^2)/a^4 - (42*z^2)/a^2 - 
   11*a^2*z^2 + 61*z^4 + (24*z^4)/a^4 - (75*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + 
   (19*z^6)/a^4 - (68*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56684] -> 4 + 3/a^4 - 6/a^2 + 12*z^2 - (8*z^2)/a^6 + 
   (28*z^2)/a^4 - (35*z^2)/a^2 + 13*z^4 - (20*z^4)/a^6 + (61*z^4)/a^4 - 
   (58*z^4)/a^2 + 6*z^6 - (18*z^6)/a^6 + (62*z^6)/a^4 - (43*z^6)/a^2 + z^8 - 
   (7*z^8)/a^6 + (33*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - 
   (2*z^10)/a^2 + z^12/a^4, Knot[15, Alternating, 56685] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 11*z^2 - (4*z^2)/a^6 + (9*z^2)/a^4 - 
   (3*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (8*z^4)/a^6 + (16*z^4)/a^4 + 
   (3*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (14*z^6)/a^4 + 
   (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56686] -> 
  -a^(-6) + a^(-4) + a^(-2) + 8*z^2 - (6*z^2)/a^6 + (21*z^2)/a^4 - 
   (21*z^2)/a^2 + 20*z^4 - (9*z^4)/a^6 + (44*z^4)/a^4 - (57*z^4)/a^2 + 
   18*z^6 - (5*z^6)/a^6 + (37*z^6)/a^4 - (61*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (33*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56687] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 
   27*z^2 + (3*z^2)/a^4 - (15*z^2)/a^2 - 11*a^2*z^2 + 61*z^4 + (8*z^4)/a^4 - 
   (40*z^4)/a^2 - 21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (36*z^6)/a^2 - 
   18*a^2*z^6 + 33*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 56688] -> 
  -a^(-8) + 2/a^4 + z^2/a^8 - (6*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 + 
   (5*z^4)/a^8 - (23*z^4)/a^6 + (34*z^4)/a^4 - (12*z^4)/a^2 + (4*z^6)/a^8 - 
   (26*z^6)/a^6 + (42*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + 
   (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56689] -> -a^(-8) + 2/a^4 + z^2/a^8 - 
   (6*z^2)/a^6 + (13*z^2)/a^4 - (4*z^2)/a^2 + (5*z^4)/a^8 - (23*z^4)/a^6 + 
   (34*z^4)/a^4 - (12*z^4)/a^2 + (4*z^6)/a^8 - (26*z^6)/a^6 + (42*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (12*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56690] -> 13 + 4/a^4 - 12/a^2 - 4*a^2 + 42*z^2 + 
   (14*z^2)/a^4 - (44*z^2)/a^2 - 12*a^2*z^2 + 60*z^4 + (22*z^4)/a^4 - 
   (71*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (64*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56691] -> 
  5/a^8 - 14/a^6 + 12/a^4 - 2/a^2 + (16*z^2)/a^8 - (47*z^2)/a^6 + 
   (40*z^2)/a^4 - (9*z^2)/a^2 + (23*z^4)/a^8 - (74*z^4)/a^6 + (57*z^4)/a^4 - 
   (12*z^4)/a^2 + (18*z^6)/a^8 - (65*z^6)/a^6 + (42*z^6)/a^4 - (6*z^6)/a^2 + 
   (7*z^8)/a^8 - (33*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + z^10/a^8 - 
   (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 56692] -> 
  6 - 3/a^6 + 11/a^4 - 13/a^2 + 13*z^2 - (13*z^2)/a^6 + (42*z^2)/a^4 - 
   (44*z^2)/a^2 + 13*z^4 - (22*z^4)/a^6 + (70*z^4)/a^4 - (61*z^4)/a^2 + 
   6*z^6 - (18*z^6)/a^6 + (64*z^6)/a^4 - (43*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56693] -> 3 + 2/a^4 - 4/a^2 + 15*z^2 + 
   (7*z^2)/a^4 - (20*z^2)/a^2 - 4*a^2*z^2 + 33*z^4 + (13*z^4)/a^4 - 
   (41*z^4)/a^2 - 8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 
   5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56694] -> 
  5 - 2/a^2 - 2*a^2 + 20*z^2 - (7*z^2)/a^2 - 15*a^2*z^2 + 4*a^4*z^2 + 
   41*z^4 - (13*z^4)/a^2 - 33*a^2*z^4 + 8*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 
   31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 13*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 56695] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - (6*z^2)/a^6 + (18*z^2)/a^4 - 
   (17*z^2)/a^2 + 8*z^4 - (13*z^4)/a^6 + (40*z^4)/a^4 - (34*z^4)/a^2 + 
   5*z^6 - (13*z^6)/a^6 + (44*z^6)/a^4 - (31*z^6)/a^2 + z^8 - (6*z^8)/a^6 + 
   (26*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56696] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 
   3/a^2 - z^2 + (5*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 - 3*z^4 + 
   (8*z^4)/a^8 - (20*z^4)/a^6 + (5*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56697] -> 3 + 2/a^4 - 4/a^2 + 3*z^2 + (7*z^2)/a^4 - 
   (16*z^2)/a^2 + 8*a^2*z^2 - 4*a^4*z^2 - 3*z^4 + (9*z^4)/a^4 - 
   (21*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - 
   (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56698] -> 
  5 - a^(-2) - 7*a^2 + 6*a^4 - 2*a^6 + 8*z^2 - z^2/a^2 - 16*a^2*z^2 + 
   13*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^2 - 14*a^2*z^4 + 13*a^4*z^4 - 
   3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 8*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56699] -> 1 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + 29*z^4 + (9*z^4)/a^4 - (28*z^4)/a^2 - 8*a^2*z^4 + 30*z^6 + 
   (12*z^6)/a^4 - (38*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - 
   (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56700] -> 1 + 10*z^2 + (2*z^2)/a^4 - (8*z^2)/a^2 - 
   4*a^2*z^2 + 29*z^4 + (9*z^4)/a^4 - (28*z^4)/a^2 - 8*a^2*z^4 + 30*z^6 + 
   (12*z^6)/a^4 - (38*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - 
   (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56701] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + z^2 + 
   (3*z^2)/a^8 - (9*z^2)/a^6 + (9*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + 
   (5*z^4)/a^8 - (14*z^4)/a^6 + (7*z^4)/a^4 + (2*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 + (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56702] -> 1 + 12*z^2 - (4*z^2)/a^2 - 12*a^2*z^2 + 
   4*a^4*z^2 + 36*z^4 - (12*z^4)/a^2 - 32*a^2*z^4 + 8*a^4*z^4 + 43*z^6 - 
   (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56703] -> a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + 
   (4*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + (7*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (13*z^4)/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56704] -> 4 + 3/a^4 - 6/a^2 - (4*z^2)/a^6 + 
   (12*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 9*z^4 - (8*z^4)/a^6 + 
   (19*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (5*z^6)/a^6 + 
   (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56705] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - z^2 + (5*z^2)/a^8 - (13*z^2)/a^6 + 
   (9*z^2)/a^4 - z^2/a^2 - 3*z^4 + (8*z^4)/a^8 - (20*z^4)/a^6 + (5*z^4)/a^4 + 
   (8*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (15*z^6)/a^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56706] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - z^2 - (3*z^2)/a^8 + (12*z^2)/a^6 - 
   (16*z^2)/a^4 + (10*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (16*z^4)/a^4 - z^4/a^2 + 4*z^6 - z^6/a^8 + (9*z^6)/a^6 - (11*z^6)/a^4 - 
   (8*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 56707] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   4*z^2 + (3*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56708] -> 
  -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - (3*z^2)/a^10 + (10*z^2)/a^8 + 
   z^2/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (8*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56709] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 
   7*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + (15*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (6*z^4)/a^4 + (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (9*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56710] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 8*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 56711] -> 
  -2 + 3/a^6 - 9/a^4 + 9/a^2 - 7*z^2 + (4*z^2)/a^6 - (14*z^2)/a^4 + 
   (15*z^2)/a^2 + 2*a^2*z^2 - 11*z^4 - z^4/a^6 - (5*z^4)/a^4 + (11*z^4)/a^2 + 
   3*a^2*z^4 - 8*z^6 - (3*z^6)/a^6 + (4*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56712] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   15*z^2 + z^2/a^6 - (7*z^2)/a^4 + (14*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (4*z^4)/a^6 + (2*z^4)/a^4 + (13*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (8*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56713] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56714] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 7*z^2 - 
   (7*z^2)/a^4 + (17*z^2)/a^2 - 11*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - 
   (9*z^4)/a^4 + (21*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - 
   (5*z^6)/a^4 + (15*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56715] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 6*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + (8*z^4)/a^6 - (18*z^4)/a^4 - 
   4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (14*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56716] -> a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56717] -> 4/a^8 - 16/a^6 + 19/a^4 - 6/a^2 + 
   (10*z^2)/a^8 - (46*z^2)/a^6 + (62*z^2)/a^4 - (21*z^2)/a^2 + (10*z^4)/a^8 - 
   (59*z^4)/a^6 + (90*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56718] -> 6 - 6/a^6 + 17/a^4 - 16/a^2 + 25*z^2 - 
   (15*z^2)/a^6 + (61*z^2)/a^4 - (70*z^2)/a^2 + 37*z^4 - (14*z^4)/a^6 + 
   (80*z^4)/a^4 - (113*z^4)/a^2 + 25*z^6 - (6*z^6)/a^6 + (51*z^6)/a^4 - 
   (93*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - (42*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56719] -> 
  5/a^12 - 18/a^10 + 18/a^8 - 4/a^6 + (13*z^2)/a^12 - (61*z^2)/a^10 + 
   (77*z^2)/a^8 - (20*z^2)/a^6 + (13*z^4)/a^12 - (78*z^4)/a^10 + 
   (120*z^4)/a^8 - (33*z^4)/a^6 + (6*z^6)/a^12 - (50*z^6)/a^10 + 
   (95*z^6)/a^8 - (24*z^6)/a^6 + z^8/a^12 - (16*z^8)/a^10 + (42*z^8)/a^8 - 
   (8*z^8)/a^6 - (2*z^10)/a^10 + (10*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 56720] -> 4/a^12 - 14/a^10 + 13/a^8 - 2/a^6 + 
   (6*z^2)/a^12 - (29*z^2)/a^10 + (30*z^2)/a^8 + (5*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (25*z^4)/a^10 + (30*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (11*z^6)/a^10 + (17*z^6)/a^8 + (14*z^6)/a^6 - (5*z^6)/a^4 - 
   (2*z^8)/a^10 + (6*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56721] -> 4 - 3/a^8 + 6/a^6 - 6/a^2 + 12*z^2 - 
   (6*z^2)/a^8 + (21*z^2)/a^6 - (6*z^2)/a^4 - (21*z^2)/a^2 + 13*z^4 - 
   (4*z^4)/a^8 + (23*z^4)/a^6 - (15*z^4)/a^4 - (29*z^4)/a^2 + 6*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 - (20*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56722] -> 2/a^12 - 6/a^10 + a^(-8) + 6/a^6 - 2/a^4 + 
   (5*z^2)/a^12 - (19*z^2)/a^10 + (8*z^2)/a^8 + (23*z^2)/a^6 - (9*z^2)/a^4 + 
   (4*z^4)/a^12 - (22*z^4)/a^10 + (16*z^4)/a^8 + (30*z^4)/a^6 - 
   (12*z^4)/a^4 + z^6/a^12 - (11*z^6)/a^10 + (14*z^6)/a^8 + (20*z^6)/a^6 - 
   (6*z^6)/a^4 - (2*z^8)/a^10 + (6*z^8)/a^8 + (7*z^8)/a^6 - z^8/a^4 + 
   z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56723] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - (6*z^2)/a^10 - 
   (5*z^2)/a^8 + (19*z^2)/a^6 - z^2/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (6*z^4)/a^10 - z^4/a^8 + (18*z^4)/a^6 + (2*z^4)/a^4 - (3*z^4)/a^2 - 
   (2*z^6)/a^10 + (2*z^6)/a^8 + (9*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56724] -> 
  4 + 3/a^4 - 6/a^2 + 12*z^2 - (8*z^2)/a^6 + (28*z^2)/a^4 - (35*z^2)/a^2 + 
   13*z^4 - (20*z^4)/a^6 + (61*z^4)/a^4 - (58*z^4)/a^2 + 6*z^6 - 
   (18*z^6)/a^6 + (62*z^6)/a^4 - (43*z^6)/a^2 + z^8 - (7*z^8)/a^6 + 
   (33*z^8)/a^4 - (15*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56725] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 
   30*z^2 - (9*z^2)/a^2 - 33*a^2*z^2 + 11*a^4*z^2 + 62*z^4 - (20*z^4)/a^2 - 
   57*a^2*z^4 + 13*a^4*z^4 + 62*z^6 - (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56726] -> 
  13 - 4/a^2 - 12*a^2 + 4*a^4 + 60*z^2 - (20*z^2)/a^2 - 56*a^2*z^2 + 
   16*a^4*z^2 + 103*z^4 - (33*z^4)/a^2 - 83*a^2*z^4 + 17*a^4*z^4 + 88*z^6 - 
   (24*z^6)/a^2 - 55*a^2*z^6 + 7*a^4*z^6 + 41*z^8 - (8*z^8)/a^2 - 
   17*a^2*z^8 + a^4*z^8 + 10*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56727] -> 8 - a^(-4) - 10*a^2 + 4*a^4 + 18*z^2 - 
   (6*z^2)/a^4 + (6*z^2)/a^2 - 27*a^2*z^2 + 8*a^4*z^2 + 21*z^4 - 
   (9*z^4)/a^4 + (15*z^4)/a^2 - 27*a^2*z^4 + 5*a^4*z^4 + 15*z^6 - 
   (5*z^6)/a^4 + (14*z^6)/a^2 - 12*a^2*z^6 + a^4*z^6 + 6*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56728] -> 
  -2/a^6 + 7/a^4 - 6/a^2 + 2*a^2 - 10*z^2 - (7*z^2)/a^6 + (18*z^2)/a^4 - 
   (9*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - (9*z^4)/a^6 + (21*z^4)/a^4 + z^4/a^2 + 
   4*a^2*z^4 - 10*z^6 - (5*z^6)/a^6 + (15*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56729] -> 9 - 3/a^2 - 5*a^2 - 2*a^4 + 2*a^6 + 24*z^2 - 
   (10*z^2)/a^2 - 7*a^2*z^2 - 15*a^4*z^2 + 7*a^6*z^2 + 28*z^4 - 
   (12*z^4)/a^2 + 4*a^2*z^4 - 23*a^4*z^4 + 5*a^6*z^4 + 19*z^6 - (6*z^6)/a^2 + 
   11*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 7*z^8 - z^8/a^2 + 6*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 56730] -> 
  4 - a^(-4) + a^(-2) - 3*a^2 - 2*a^4 + 2*a^6 + 9*z^2 - (3*z^2)/a^4 + 
   (2*z^2)/a^2 - 6*a^2*z^2 - 7*a^4*z^2 + 3*a^6*z^2 + 12*z^4 - (3*z^4)/a^4 + 
   (3*z^4)/a^2 - 2*a^2*z^4 - 7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + 2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 56731] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 9*z^2 + 
   (5*z^2)/a^4 - (14*z^2)/a^2 + 5*a^2*z^2 - 4*a^4*z^2 + z^4 + (8*z^4)/a^4 - 
   (18*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 7*z^6 + (5*z^6)/a^4 - 
   (14*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56732] -> 
  1 + 3*z^2 + z^2/a^6 - z^2/a^4 - (3*z^2)/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + 
   3*z^4 + (2*z^4)/a^6 - z^4/a^4 - (6*z^4)/a^2 + 5*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (2*z^6)/a^4 - (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 56733] -> 
  18 + 5/a^4 - 16/a^2 - 6*a^2 + 53*z^2 + (17*z^2)/a^4 - (54*z^2)/a^2 - 
   15*a^2*z^2 + 68*z^4 + (25*z^4)/a^4 - (81*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + 
   (19*z^6)/a^4 - (69*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56734] -> 4 - 14*a^2 + 19*a^4 - 8*a^6 + 20*z^2 - 
   63*a^2*z^2 + 68*a^4*z^2 - 20*a^6*z^2 + 33*z^4 - 104*a^2*z^4 + 89*a^4*z^4 - 
   18*a^6*z^4 + 24*z^6 - 88*a^2*z^6 + 56*a^4*z^6 - 7*a^6*z^6 + 8*z^8 - 
   41*a^2*z^8 + 17*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56735] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 - 
   z^2 + (4*z^2)/a^2 - 21*a^2*z^2 + 31*a^4*z^2 - 9*a^6*z^2 - 11*z^4 + 
   (8*z^4)/a^2 - 22*a^2*z^4 + 28*a^4*z^4 - 5*a^6*z^4 - 13*z^6 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56736] -> 
  -5 + 2/a^2 + 2*a^2 + 6*a^4 - 4*a^6 - 19*z^2 + (9*z^2)/a^2 + a^2*z^2 + 
   21*a^4*z^2 - 8*a^6*z^2 - 26*z^4 + (12*z^4)/a^2 - 8*a^2*z^4 + 25*a^4*z^4 - 
   5*a^6*z^4 - 19*z^6 + (6*z^6)/a^2 - 12*a^2*z^6 + 12*a^4*z^6 - a^6*z^6 - 
   7*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56737] -> -6 + 2/a^2 + 6*a^2 + a^4 - 2*a^6 - 14*z^2 + 
   (2*z^2)/a^4 + (2*z^2)/a^2 + 10*a^2*z^2 + 6*a^4*z^2 - 3*a^6*z^2 - 15*z^4 + 
   (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 56738] -> 14 - a^(-4) - 3/a^2 - 13*a^2 + 4*a^4 + 
   22*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 29*a^2*z^2 + 10*a^4*z^2 + 10*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 29*a^2*z^4 + 10*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56739] -> 
  3/a^12 - 10/a^10 + 8/a^8 + (4*z^2)/a^12 - (21*z^2)/a^10 + (22*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (18*z^4)/a^10 + (23*z^4)/a^8 + 
   (10*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (9*z^6)/a^10 + (13*z^6)/a^8 + 
   (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56740] -> 
  6 - a^(-4) - a^(-2) - 3*a^2 + 10*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 
   8*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 11*a^2*z^4 + 
   5*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56741] -> -2 + 11*a^4 - 10*a^6 + 2*a^8 - 6*z^2 - 
   z^2/a^2 + 5*a^2*z^2 + 27*a^4*z^2 - 21*a^6*z^2 + 3*a^8*z^2 - 4*z^4 - 
   (2*z^4)/a^2 + 13*a^2*z^4 + 27*a^4*z^4 - 16*a^6*z^4 + a^8*z^4 + z^6 - 
   z^6/a^2 + 11*a^2*z^6 + 14*a^4*z^6 - 4*a^6*z^6 + z^8 + 3*a^2*z^8 + 
   3*a^4*z^8, Knot[15, Alternating, 56742] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   10*z^2 - (3*z^2)/a^4 + (3*z^2)/a^2 - 8*a^2*z^2 + 2*a^4*z^2 + 4*z^4 - 
   (3*z^4)/a^4 + (10*z^4)/a^2 - 11*a^2*z^4 + 5*a^4*z^4 - 4*z^6 - z^6/a^4 + 
   (8*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56743] -> 
  14 - a^(-4) - 3/a^2 - 13*a^2 + 4*a^4 + 22*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   29*a^2*z^2 + 10*a^4*z^2 + 10*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 
   29*a^2*z^4 + 10*a^4*z^4 - 3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 17*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56744] -> 3/a^12 - 10/a^10 + 8/a^8 + (4*z^2)/a^12 - 
   (21*z^2)/a^10 + (22*z^2)/a^8 + (4*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - 
   (18*z^4)/a^10 + (23*z^4)/a^8 + (10*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - 
   (9*z^6)/a^10 + (13*z^6)/a^8 + (10*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56745] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - z^2 - 
   (5*z^2)/a^4 + (11*z^2)/a^2 - 12*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - 
   (8*z^4)/a^4 + (17*z^4)/a^2 - 17*a^2*z^4 + 4*a^4*z^4 + 8*z^6 - 
   (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56746] -> 
  a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + (4*z^2)/a^8 - (7*z^2)/a^6 - (2*z^2)/a^4 + 
   (7*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (13*z^4)/a^6 - (5*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56747] -> 
  -a^(-8) + 2/a^6 + 2/a^4 - 4/a^2 + 2*a^2 - 6*z^2 - (3*z^2)/a^8 + 
   (3*z^2)/a^6 + (7*z^2)/a^4 - (8*z^2)/a^2 + 3*a^2*z^2 - 7*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (11*z^4)/a^4 - (3*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 56748] -> 
  -3/a^10 + 12/a^8 - 15/a^6 + 5/a^4 + 2/a^2 - (8*z^2)/a^10 + (27*z^2)/a^8 - 
   (26*z^2)/a^6 + (5*z^2)/a^2 - (9*z^4)/a^10 + (27*z^4)/a^8 - (15*z^4)/a^6 - 
   (11*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 + z^6/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56749] -> 
  2 - 6*a^2 + 9*a^4 - 4*a^6 + z^2 + (2*z^2)/a^2 - 15*a^2*z^2 + 21*a^4*z^2 - 
   6*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56750] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56751] -> -2/a^14 + 9/a^12 - 12/a^10 + 2/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (20*z^2)/a^12 - (27*z^2)/a^10 + (11*z^2)/a^6 + 
   (2*z^2)/a^4 - z^4/a^14 + (16*z^4)/a^12 - (26*z^4)/a^10 - (10*z^4)/a^8 + 
   (7*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (14*z^6)/a^10 - (11*z^6)/a^8 - 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 56752] -> -a^(-10) + 4/a^8 - 5/a^6 + a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (11*z^2)/a^8 - (9*z^2)/a^6 - (4*z^2)/a^4 + (5*z^2)/a^2 - 
   (5*z^4)/a^10 + (13*z^4)/a^8 - (5*z^4)/a^6 - (12*z^4)/a^4 + (4*z^4)/a^2 - 
   (4*z^6)/a^10 + (10*z^6)/a^8 + (3*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56753] -> -3/a^10 + 12/a^8 - 15/a^6 + 5/a^4 + 2/a^2 - 
   (8*z^2)/a^10 + (27*z^2)/a^8 - (26*z^2)/a^6 + (5*z^2)/a^2 - (9*z^4)/a^10 + 
   (27*z^4)/a^8 - (15*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + 
   (16*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56754] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + z^2 + 
   (2*z^2)/a^2 - 15*a^2*z^2 + 21*a^4*z^2 - 6*a^6*z^2 - 6*z^4 + (5*z^4)/a^2 - 
   16*a^2*z^4 + 20*a^4*z^4 - 4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 
   10*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56755] -> 3/a^8 - 12/a^6 + 14/a^4 - 
   4/a^2 + (9*z^2)/a^8 - (38*z^2)/a^6 + (49*z^2)/a^4 - (16*z^2)/a^2 + 
   (10*z^4)/a^8 - (54*z^4)/a^6 + (77*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - 
   (39*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + 
   (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56756] -> 9 - 2/a^4 + a^(-2) - 11*a^2 + 
   4*a^4 + 14*z^2 - (5*z^2)/a^4 + (10*z^2)/a^2 - 30*a^2*z^2 + 12*a^4*z^2 + 
   3*z^4 - (4*z^4)/a^4 + (17*z^4)/a^2 - 34*a^2*z^4 + 13*a^4*z^4 - 7*z^6 - 
   z^6/a^4 + (10*z^6)/a^2 - 21*a^2*z^6 + 6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 
   7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56757] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 13*z^2 - (7*z^2)/a^6 + (29*z^2)/a^4 - 
   (34*z^2)/a^2 + 24*z^4 - (9*z^4)/a^6 + (49*z^4)/a^4 - (70*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (38*z^6)/a^4 - (67*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56758] -> 2 - a^(-8) + 2/a^6 - 2/a^2 + 
   7*z^2 - (3*z^2)/a^8 + (11*z^2)/a^6 - (4*z^2)/a^4 - (11*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (10*z^4)/a^4 - (19*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56759] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 36*z^2 - 
   (11*z^2)/a^2 - 39*a^2*z^2 + 12*a^4*z^2 + 66*z^4 - (21*z^4)/a^2 - 
   59*a^2*z^4 + 13*a^4*z^4 + 63*z^6 - (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56760] -> 
  -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 7*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 - 
   11*a^2*z^2 + 5*a^4*z^2 + 2*z^4 - (9*z^4)/a^4 + (21*z^4)/a^2 - 17*a^2*z^4 + 
   4*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56761] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 38*z^2 + 
   (14*z^2)/a^4 - (42*z^2)/a^2 - 11*a^2*z^2 + 61*z^4 + (24*z^4)/a^4 - 
   (75*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + (19*z^6)/a^4 - (68*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56762] -> 
  3 + 2/a^4 - 4/a^2 + 3*z^2 + (7*z^2)/a^4 - (16*z^2)/a^2 + 8*a^2*z^2 - 
   4*a^4*z^2 - 3*z^4 + (9*z^4)/a^4 - (21*z^4)/a^2 + 16*a^2*z^4 - 4*a^4*z^4 - 
   8*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + 
   z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56763] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + 
   (7*z^2)/a^8 - (15*z^2)/a^6 + z^2/a^4 + (7*z^2)/a^2 - 3*z^4 + (7*z^4)/a^8 - 
   (18*z^4)/a^6 - (4*z^4)/a^4 + (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (12*z^6)/a^6 - (6*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56764] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 
   13*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + (2*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - 
   (6*z^4)/a^6 + (11*z^4)/a^4 + (9*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56765] -> -3/a^10 + 11/a^8 - 11/a^6 + 4/a^2 - 
   (10*z^2)/a^10 + (29*z^2)/a^8 - (20*z^2)/a^6 - (10*z^2)/a^4 + (8*z^2)/a^2 - 
   (12*z^4)/a^10 + (32*z^4)/a^8 - (9*z^4)/a^6 - (19*z^4)/a^4 + (5*z^4)/a^2 - 
   (6*z^6)/a^10 + (20*z^6)/a^8 + (5*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (7*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56766] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 11*z^2 - 
   (4*z^2)/a^6 + (9*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 17*z^4 - 
   (8*z^4)/a^6 + (16*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (14*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56767] -> 6 - 3/a^6 + 11/a^4 - 13/a^2 + 13*z^2 - 
   (15*z^2)/a^6 + (46*z^2)/a^4 - (46*z^2)/a^2 + 13*z^4 - (25*z^4)/a^6 + 
   (78*z^4)/a^4 - (64*z^4)/a^2 + 6*z^6 - (19*z^6)/a^6 + (69*z^6)/a^4 - 
   (44*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (34*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56768] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 
   19*z^2 - (6*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - 
   (9*z^4)/a^6 + (18*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56769] -> -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - 
   (7*z^2)/a^10 + (27*z^2)/a^8 - (33*z^2)/a^6 + (16*z^2)/a^4 - (9*z^4)/a^10 + 
   (49*z^4)/a^8 - (69*z^4)/a^6 + (25*z^4)/a^4 - (5*z^6)/a^10 + (38*z^6)/a^8 - 
   (67*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + 
   (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 56770] -> -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (9*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56771] -> -a^(-4) + 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 - 
   9*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   16*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 56772] -> 
  18 + 5/a^4 - 16/a^2 - 6*a^2 + 53*z^2 + (17*z^2)/a^4 - (54*z^2)/a^2 - 
   15*a^2*z^2 + 68*z^4 + (25*z^4)/a^4 - (81*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + 
   (19*z^6)/a^4 - (69*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56773] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 30*z^2 - 
   (9*z^2)/a^2 - 33*a^2*z^2 + 11*a^4*z^2 + 62*z^4 - (20*z^4)/a^2 - 
   57*a^2*z^4 + 13*a^4*z^4 + 62*z^6 - (18*z^6)/a^2 - 43*a^2*z^6 + 6*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56774] -> 
  -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 - z^2 - (5*z^2)/a^4 + (11*z^2)/a^2 - 
   12*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - (8*z^4)/a^4 + (17*z^4)/a^2 - 17*a^2*z^4 + 
   4*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56775] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 4*z^2 + 
   (3*z^2)/a^6 - (15*z^2)/a^4 + (22*z^2)/a^2 - 2*a^2*z^2 + 5*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (20*z^4)/a^2 - 5*a^2*z^4 + 9*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (12*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56776] -> 
  10 - a^(-4) - 2/a^2 - 8*a^2 + 2*a^4 + 18*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   21*a^2*z^2 + 7*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 24*a^2*z^4 + 
   9*a^4*z^4 - 3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56777] -> 1 - 6/a^6 + 16/a^4 - 12/a^2 + 2*a^2 - 
   8*z^2 - (9*z^2)/a^6 + (36*z^2)/a^4 - (28*z^2)/a^2 + 9*a^2*z^2 - 20*z^4 - 
   (5*z^4)/a^6 + (32*z^4)/a^4 - (31*z^4)/a^2 + 12*a^2*z^4 - 18*z^6 - 
   z^6/a^6 + (13*z^6)/a^4 - (20*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56778] -> 
  -1 - 3/a^8 + 6/a^6 - a^(-4) - 2/a^2 + 2*a^2 - 4*z^2 - (3*z^2)/a^8 + 
   (12*z^2)/a^6 - z^2/a^4 - (10*z^2)/a^2 + 5*a^2*z^2 - 6*z^4 - z^4/a^8 + 
   (8*z^4)/a^6 - (3*z^4)/a^4 - (15*z^4)/a^2 + 4*a^2*z^4 - 4*z^6 + 
   (2*z^6)/a^6 - (3*z^6)/a^4 - (9*z^6)/a^2 + a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 56779] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56780] -> a^(-8) - 2/a^6 + 2/a^2 - 2*z^2 + 
   (3*z^2)/a^8 - (6*z^2)/a^6 - z^2/a^4 + (6*z^2)/a^2 - 3*z^4 + (5*z^4)/a^8 - 
   (11*z^4)/a^6 - (3*z^4)/a^4 + (10*z^4)/a^2 - z^6 + (4*z^6)/a^8 - 
   (10*z^6)/a^6 - (5*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56781] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + 
   (2*z^2)/a^8 + (2*z^2)/a^6 - (18*z^2)/a^4 + (19*z^2)/a^2 - 4*z^4 + 
   (5*z^4)/a^8 - (6*z^4)/a^6 - (17*z^4)/a^4 + (19*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (9*z^6)/a^6 - (11*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56782] -> -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - 
   (6*z^2)/a^10 + (21*z^2)/a^8 - (20*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - 
   (8*z^4)/a^10 + (23*z^4)/a^8 - (13*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - 
   (5*z^6)/a^10 + (15*z^6)/a^8 + z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56783] -> 4/a^8 - 16/a^6 + 19/a^4 - 6/a^2 + 
   (10*z^2)/a^8 - (46*z^2)/a^6 + (62*z^2)/a^4 - (21*z^2)/a^2 + (10*z^4)/a^8 - 
   (59*z^4)/a^6 + (90*z^4)/a^4 - (29*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + 
   (74*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56784] -> -5 - 2/a^4 + 6/a^2 + 4*a^2 - 4*a^4 + 2*a^6 - 
   19*z^2 - (5*z^2)/a^4 + (15*z^2)/a^2 + 18*a^2*z^2 - 14*a^4*z^2 + 
   3*a^6*z^2 - 24*z^4 - (4*z^4)/a^4 + (18*z^4)/a^2 + 26*a^2*z^4 - 
   12*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (10*z^6)/a^2 + 15*a^2*z^6 - 
   3*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 56785] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 33*z^2 + 
   (9*z^2)/a^4 - (30*z^2)/a^2 - 11*a^2*z^2 + 57*z^4 + (20*z^4)/a^4 - 
   (62*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (62*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56786] -> 
  3 - 2/a^4 + 4/a^2 - 8*a^2 + 4*a^4 + 7*z^2 - (9*z^2)/a^4 + (16*z^2)/a^2 - 
   24*a^2*z^2 + 8*a^4*z^2 + 13*z^4 - (12*z^4)/a^4 + (25*z^4)/a^2 - 
   26*a^2*z^4 + 5*a^4*z^4 + 13*z^6 - (6*z^6)/a^4 + (19*z^6)/a^2 - 
   12*a^2*z^6 + a^4*z^6 + 6*z^8 - z^8/a^4 + (7*z^8)/a^2 - 2*a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 56787] -> -1 - 2/a^4 + 5/a^2 - a^2 - 
   2*a^4 + 2*a^6 + 3*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 - 5*a^2*z^2 - 
   7*a^4*z^2 + 3*a^6*z^2 + 10*z^4 - (4*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 - 
   7*a^4*z^4 + a^6*z^4 + 8*z^6 - z^6/a^4 + (4*z^6)/a^2 + 2*a^2*z^6 - 
   2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, Knot[15, Alternating, 56788] -> 
  4 - 5/a^6 + 13/a^4 - 11/a^2 + 16*z^2 - (10*z^2)/a^6 + (41*z^2)/a^4 - 
   (45*z^2)/a^2 + 25*z^4 - (10*z^4)/a^6 + (55*z^4)/a^4 - (76*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (68*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56789] -> -4/a^6 + 7/a^4 - 2/a^2 + 
   (6*z^2)/a^8 - (26*z^2)/a^6 + (38*z^2)/a^4 - (13*z^2)/a^2 + (9*z^4)/a^8 - 
   (48*z^4)/a^6 + (71*z^4)/a^4 - (24*z^4)/a^2 + (5*z^6)/a^8 - (38*z^6)/a^6 + 
   (67*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56790] -> -a^(-8) + 2/a^4 - 4*z^2 + (2*z^2)/a^8 - 
   (5*z^2)/a^6 + (4*z^2)/a^4 + (7*z^2)/a^2 - 8*z^4 + (3*z^4)/a^8 - 
   (13*z^4)/a^6 + (7*z^4)/a^4 + (15*z^4)/a^2 - 5*z^6 + z^6/a^8 - 
   (9*z^6)/a^6 + (9*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56791] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 39*z^2 + 
   (11*z^2)/a^4 - (36*z^2)/a^2 - 12*a^2*z^2 + 59*z^4 + (21*z^4)/a^4 - 
   (66*z^4)/a^2 - 13*a^2*z^4 + 43*z^6 + (18*z^6)/a^4 - (63*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (33*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56792] -> 
  -1 + a^(-6) - 4/a^4 + 5/a^2 + 6*z^2 + (5*z^2)/a^6 - (13*z^2)/a^4 + 
   (7*z^2)/a^2 - 4*a^2*z^2 + 15*z^4 + (8*z^4)/a^6 - (18*z^4)/a^4 - 
   4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (14*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56793] -> 9 - 3/a^2 - 7*a^2 + 2*a^4 + 42*z^2 - 
   (14*z^2)/a^2 - 38*a^2*z^2 + 11*a^4*z^2 + 75*z^4 - (24*z^4)/a^2 - 
   61*a^2*z^4 + 13*a^4*z^4 + 68*z^6 - (19*z^6)/a^2 - 44*a^2*z^6 + 6*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56794] -> 
  4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 7*z^2 - (5*z^2)/a^4 + (8*z^2)/a^2 - 
   15*a^2*z^2 + 5*a^4*z^2 + 9*z^4 - (8*z^4)/a^4 + (16*z^4)/a^2 - 18*a^2*z^4 + 
   4*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (14*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56795] -> -a^(-4) + 2/a^2 + 2*a^2 - 4*a^4 + 2*a^6 - 
   9*z^2 - (3*z^2)/a^4 + (8*z^2)/a^2 + 12*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 
   16*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 + 20*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 
   12*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 56796] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 7*z^2 - (3*z^2)/a^4 + (9*z^2)/a^2 - 
   2*a^2*z^2 + 2*a^4*z^2 - 2*z^4 - (5*z^4)/a^4 + (12*z^4)/a^2 - 9*a^2*z^4 + 
   3*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 8*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56797] -> 1 + 7*z^2 + (3*z^2)/a^6 - (7*z^2)/a^4 + 
   z^2/a^2 - 4*a^2*z^2 + 15*z^4 + (7*z^4)/a^6 - (14*z^4)/a^4 - (2*z^4)/a^2 - 
   4*a^2*z^4 + 10*z^6 + (5*z^6)/a^6 - (13*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56798] -> 6/a^8 - 24/a^6 + 29/a^4 - 10/a^2 + 
   (15*z^2)/a^8 - (70*z^2)/a^6 + (95*z^2)/a^4 - (33*z^2)/a^2 + (14*z^4)/a^8 - 
   (85*z^4)/a^6 + (132*z^4)/a^4 - (42*z^4)/a^2 + (6*z^6)/a^8 - (52*z^6)/a^6 + 
   (100*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56799] -> 13 - 6/a^2 - 6*a^2 + 48*z^2 + (4*z^2)/a^4 - 
   (27*z^2)/a^2 - 19*a^2*z^2 + 79*z^4 + (8*z^4)/a^4 - (46*z^4)/a^2 - 
   26*a^2*z^4 + 69*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 56800] -> 1 + a^(-6) - 6/a^4 + 7/a^2 - 2*a^2 + 
   9*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + (14*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 + 
   (3*z^4)/a^6 - (16*z^4)/a^4 + (15*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - 
   (9*z^6)/a^4 + (11*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56801] -> 
  28 + 7/a^4 - 24/a^2 - 10*a^2 + 82*z^2 + (26*z^2)/a^4 - (82*z^2)/a^2 - 
   23*a^2*z^2 + 98*z^4 + (37*z^4)/a^4 - (119*z^4)/a^2 - 19*a^2*z^4 + 58*z^6 + 
   (25*z^6)/a^4 - (94*z^6)/a^2 - 7*a^2*z^6 + 17*z^8 + (8*z^8)/a^4 - 
   (42*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56802] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 + z^2 + 
   (2*z^2)/a^6 - (6*z^2)/a^4 + (3*z^2)/a^2 + 7*z^4 - (8*z^4)/a^6 + 
   (21*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + (37*z^6)/a^4 - 
   (29*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (25*z^8)/a^4 - (13*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56803] -> 2/a^6 - 5/a^4 + 4/a^2 - 4*z^2 + z^2/a^6 - 
   (4*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 10*z^4 - (4*z^4)/a^6 + 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (9*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56804] -> 
  23 + 6/a^4 - 20/a^2 - 8*a^2 + 59*z^2 + (19*z^2)/a^4 - (60*z^2)/a^2 - 
   16*a^2*z^2 + 70*z^4 + (26*z^4)/a^4 - (85*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + 
   (19*z^6)/a^4 - (70*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56805] -> 6 - 3/a^6 + 11/a^4 - 13/a^2 + 13*z^2 - 
   (15*z^2)/a^6 + (46*z^2)/a^4 - (46*z^2)/a^2 + 13*z^4 - (25*z^4)/a^6 + 
   (78*z^4)/a^4 - (64*z^4)/a^2 + 6*z^6 - (19*z^6)/a^6 + (69*z^6)/a^4 - 
   (44*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (34*z^8)/a^4 - (15*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56806] -> -7 - a^(-6) + 2/a^4 + 3/a^2 + 4*a^2 - 
   19*z^2 - (6*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 + 6*a^2*z^2 - 20*z^4 - 
   (9*z^4)/a^6 + (18*z^4)/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56807] -> 13 - 4/a^2 - 12*a^2 + 4*a^4 + 48*z^2 - 
   (16*z^2)/a^2 - 44*a^2*z^2 + 12*a^4*z^2 + 79*z^4 - (25*z^4)/a^2 - 
   63*a^2*z^4 + 13*a^4*z^4 + 69*z^6 - (19*z^6)/a^2 - 44*a^2*z^6 + 6*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56808] -> 
  -1 - 2/a^4 + 5/a^2 - 3*a^2 + 2*a^4 + z^2 - (7*z^2)/a^4 + (14*z^2)/a^2 - 
   14*a^2*z^2 + 5*a^4*z^2 + 7*z^4 - (9*z^4)/a^4 + (20*z^4)/a^2 - 18*a^2*z^4 + 
   4*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56809] -> -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 4*z^2 + 
   5*a^2*z^2 + 14*a^4*z^2 - 17*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 10*a^2*z^4 + 
   15*a^4*z^4 - 19*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 11*a^4*z^6 - 
   10*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56810] -> 
  13 + 4/a^4 - 12/a^2 - 4*a^2 + 44*z^2 + (16*z^2)/a^4 - (48*z^2)/a^2 - 
   12*a^2*z^2 + 63*z^4 + (25*z^4)/a^4 - (79*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + 
   (19*z^6)/a^4 - (69*z^6)/a^2 - 6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56811] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 3*z^2 + 
   (7*z^2)/a^4 - (14*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + 
   (9*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56812] -> 
  3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + (13*z^2)/a^8 - (39*z^2)/a^6 + 
   (37*z^2)/a^4 - (9*z^2)/a^2 + (22*z^4)/a^8 - (69*z^4)/a^6 + (56*z^4)/a^4 - 
   (12*z^4)/a^2 + (18*z^6)/a^8 - (64*z^6)/a^6 + (42*z^6)/a^4 - (6*z^6)/a^2 + 
   (7*z^8)/a^8 - (33*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + z^10/a^8 - 
   (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 56813] -> 
  -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - 5*z^2 + (5*z^2)/a^8 - (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - (16*z^4)/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56814] -> 
  15 + 2/a^4 - 10/a^2 - 6*a^2 + 51*z^2 + (7*z^2)/a^4 - (35*z^2)/a^2 - 
   19*a^2*z^2 + 80*z^4 + (9*z^4)/a^4 - (51*z^4)/a^2 - 26*a^2*z^4 + 69*z^6 + 
   (5*z^6)/a^4 - (38*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - 
   (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 56815] -> 5/a^8 - 20/a^6 + 24/a^4 - 8/a^2 + 
   (10*z^2)/a^8 - (50*z^2)/a^6 + (70*z^2)/a^4 - (24*z^2)/a^2 + (10*z^4)/a^8 - 
   (60*z^4)/a^6 + (95*z^4)/a^4 - (30*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56816] -> 5/a^8 - 20/a^6 + 24/a^4 - 8/a^2 + 
   (10*z^2)/a^8 - (50*z^2)/a^6 + (70*z^2)/a^4 - (24*z^2)/a^2 + (10*z^4)/a^8 - 
   (60*z^4)/a^6 + (95*z^4)/a^4 - (30*z^4)/a^2 + (5*z^6)/a^8 - (40*z^6)/a^6 + 
   (75*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (35*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56817] -> 3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 + 
   (13*z^2)/a^8 - (39*z^2)/a^6 + (37*z^2)/a^4 - (9*z^2)/a^2 + (22*z^4)/a^8 - 
   (69*z^4)/a^6 + (56*z^4)/a^4 - (12*z^4)/a^2 + (18*z^6)/a^8 - (64*z^6)/a^6 + 
   (42*z^6)/a^4 - (6*z^6)/a^2 + (7*z^8)/a^8 - (33*z^8)/a^6 + (15*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 56818] -> 2 + a^(-6) - a^(-4) - a^(-2) + 5*z^2 - 
   z^2/a^6 + (6*z^2)/a^4 - (12*z^2)/a^2 + 8*z^4 - (9*z^4)/a^6 + 
   (27*z^4)/a^4 - (30*z^4)/a^2 + 5*z^6 - (12*z^6)/a^6 + (38*z^6)/a^4 - 
   (30*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (25*z^8)/a^4 - (13*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56819] -> 1 + 12*z^2 - (4*z^2)/a^2 - 12*a^2*z^2 + 
   4*a^4*z^2 + 36*z^4 - (12*z^4)/a^2 - 32*a^2*z^4 + 8*a^4*z^4 + 43*z^6 - 
   (13*z^6)/a^2 - 31*a^2*z^6 + 5*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   13*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56820] -> 17 - 5/a^2 - 17*a^2 + 6*a^4 + 70*z^2 - 
   (23*z^2)/a^2 - 67*a^2*z^2 + 19*a^4*z^2 + 113*z^4 - (36*z^4)/a^2 - 
   91*a^2*z^4 + 18*a^4*z^4 + 93*z^6 - (25*z^6)/a^2 - 57*a^2*z^6 + 7*a^4*z^6 + 
   42*z^8 - (8*z^8)/a^2 - 17*a^2*z^8 + a^4*z^8 + 10*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56821] -> 
  -2 - a^(-6) + 3/a^4 - a^(-2) + 2*a^2 - 13*z^2 - (4*z^2)/a^6 + (8*z^2)/a^4 + 
   (2*z^2)/a^2 + 5*a^2*z^2 - 18*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + 
   (9*z^4)/a^2 + 4*a^2*z^4 - 10*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + 
   (10*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (5*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56822] -> 
  13 - 4/a^2 - 10*a^2 + 2*a^6 + 30*z^2 - (12*z^2)/a^2 - 13*a^2*z^2 - 
   14*a^4*z^2 + 7*a^6*z^2 + 32*z^4 - (13*z^4)/a^2 + 2*a^2*z^4 - 23*a^4*z^4 + 
   5*a^6*z^4 + 20*z^6 - (6*z^6)/a^2 + 11*a^2*z^6 - 12*a^4*z^6 + a^6*z^6 + 
   7*z^8 - z^8/a^2 + 6*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 56823] -> 23 + 6/a^4 - 20/a^2 - 8*a^2 + 59*z^2 + 
   (19*z^2)/a^4 - (60*z^2)/a^2 - 16*a^2*z^2 + 70*z^4 + (26*z^4)/a^4 - 
   (85*z^4)/a^2 - 14*a^2*z^4 + 45*z^6 + (19*z^6)/a^4 - (70*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56824] -> 
  10 - a^(-4) - 2/a^2 - 8*a^2 + 2*a^4 + 18*z^2 - (3*z^2)/a^4 + (2*z^2)/a^2 - 
   21*a^2*z^2 + 7*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + (10*z^4)/a^2 - 24*a^2*z^4 + 
   9*a^4*z^4 - 3*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56825] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 4*a^2 - 
   4*a^4 + 2*a^6 - 5*z^2 - (2*z^2)/a^6 + (4*z^2)/a^4 - z^2/a^2 + 8*a^2*z^2 - 
   8*a^4*z^2 + a^6*z^2 - 2*z^4 - z^4/a^6 + (5*z^4)/a^4 - z^4/a^2 + 
   9*a^2*z^4 - 3*a^4*z^4 - 2*z^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + 3*a^2*z^6 - 
   z^8 - z^8/a^2, Knot[15, Alternating, 56826] -> 
  -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 - 5*z^2 + (5*z^2)/a^8 - (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (16*z^2)/a^2 - 4*z^4 + (8*z^4)/a^8 - (16*z^4)/a^6 - 
   (9*z^4)/a^4 + (18*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (14*z^6)/a^6 - 
   (9*z^6)/a^4 + (10*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56827] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + z^2 + (3*z^2)/a^8 - (9*z^2)/a^6 + 
   (9*z^2)/a^4 - (5*z^2)/a^2 - 2*z^4 + (5*z^4)/a^8 - (14*z^4)/a^6 + 
   (7*z^4)/a^4 + (2*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (11*z^6)/a^6 + 
   (6*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56828] -> 
  5 - a^(-6) + 2/a^4 - a^(-2) - 8*a^2 + 4*a^4 + 9*z^2 - (4*z^2)/a^6 + 
   (6*z^2)/a^4 - (2*z^2)/a^2 - 16*a^2*z^2 + 4*a^4*z^2 + 9*z^4 - (4*z^4)/a^6 + 
   (8*z^4)/a^4 + (3*z^4)/a^2 - 10*a^2*z^4 + a^4*z^4 + 5*z^6 - z^6/a^6 + 
   (5*z^6)/a^4 + (4*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + z^8/a^2, 
 Knot[15, Alternating, 56829] -> 1 - a^(-6) + 2/a^4 - a^2 - 2*a^4 + 2*a^6 + 
   z^2 - (2*z^2)/a^6 + (2*z^2)/a^4 + z^2/a^2 - 2*a^2*z^2 - 5*a^4*z^2 + 
   a^6*z^2 + 4*z^4 - z^4/a^6 + (2*z^4)/a^4 + (4*z^4)/a^2 + a^2*z^4 - 
   2*a^4*z^4 + 2*z^6 + z^6/a^4 + (2*z^6)/a^2 + a^2*z^6, 
 Knot[15, Alternating, 56830] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 
   9*z^2 - z^2/a^6 + (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56831] -> 
  -2/a^10 + 8/a^8 - 10/a^6 + 3/a^4 + 2/a^2 - (6*z^2)/a^10 + (21*z^2)/a^8 - 
   (20*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - (8*z^4)/a^10 + (23*z^4)/a^8 - 
   (13*z^4)/a^6 - (11*z^4)/a^4 + (4*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   z^6/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56832] -> 
  -2/a^10 + 7/a^8 - 10/a^6 + 6/a^4 - (7*z^2)/a^10 + (31*z^2)/a^8 - 
   (41*z^2)/a^6 + (19*z^2)/a^4 - (9*z^4)/a^10 + (50*z^4)/a^8 - (74*z^4)/a^6 + 
   (26*z^4)/a^4 - (5*z^6)/a^10 + (38*z^6)/a^8 - (68*z^6)/a^6 + (19*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 56833] -> 
  -a^(-6) + a^(-4) + a^(-2) + 4*z^2 - (2*z^2)/a^6 + (9*z^2)/a^4 - 
   (9*z^2)/a^2 + 12*z^4 - (5*z^4)/a^6 + (24*z^4)/a^4 - (33*z^4)/a^2 + 
   13*z^6 - (4*z^6)/a^6 + (26*z^6)/a^4 - (42*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (26*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56834] -> a^(-8) - 8/a^6 + 12/a^4 - 
   4/a^2 + (6*z^2)/a^8 - (30*z^2)/a^6 + (46*z^2)/a^4 - (16*z^2)/a^2 + 
   (9*z^4)/a^8 - (49*z^4)/a^6 + (76*z^4)/a^4 - (25*z^4)/a^2 + (5*z^6)/a^8 - 
   (38*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + 
   (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56835] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 
   10*z^2 - 29*a^2*z^2 + 30*a^4*z^2 - 9*a^6*z^2 + 21*z^4 - 64*a^2*z^4 + 
   54*a^4*z^4 - 12*a^6*z^4 + 18*z^6 - 63*a^2*z^6 + 42*a^4*z^6 - 6*a^6*z^6 + 
   7*z^8 - 33*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 56836] -> 
  5 - a^(-2) - 7*a^2 + 6*a^4 - 2*a^6 + 4*z^2 + z^2/a^2 - 16*a^2*z^2 + 
   17*a^4*z^2 - 5*a^6*z^2 - 5*z^4 + (5*z^4)/a^2 - 16*a^2*z^4 + 19*a^4*z^4 - 
   4*a^6*z^4 - 9*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 56837] -> 3 + 2/a^4 - 4/a^2 + 15*z^2 + (7*z^2)/a^4 - 
   (20*z^2)/a^2 - 4*a^2*z^2 + 33*z^4 + (13*z^4)/a^4 - (41*z^4)/a^2 - 
   8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - (44*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + 
   (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 56838] -> 3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + 
   (13*z^2)/a^8 - (35*z^2)/a^6 + (25*z^2)/a^4 - (5*z^2)/a^2 + (22*z^4)/a^8 - 
   (68*z^4)/a^6 + (50*z^4)/a^4 - (11*z^4)/a^2 + (18*z^6)/a^8 - (64*z^6)/a^6 + 
   (41*z^6)/a^4 - (6*z^6)/a^2 + (7*z^8)/a^8 - (33*z^8)/a^6 + (15*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 56839] -> 2 + 3/a^8 - 7/a^6 + 6/a^4 - 3/a^2 - z^2 + 
   (8*z^2)/a^8 - (21*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 - 3*z^4 + 
   (9*z^4)/a^8 - (25*z^4)/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56840] -> 5 - 2/a^2 - 2*a^2 + 32*z^2 - (11*z^2)/a^2 - 
   27*a^2*z^2 + 8*a^4*z^2 + 65*z^4 - (21*z^4)/a^2 - 53*a^2*z^4 + 12*a^4*z^4 + 
   63*z^6 - (18*z^6)/a^2 - 42*a^2*z^6 + 6*a^4*z^6 + 33*z^8 - (7*z^8)/a^2 - 
   15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56841] -> 9 - 3/a^2 - 7*a^2 + 2*a^4 + 18*z^2 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 - 18*a^2*z^2 + 5*a^4*z^2 + 17*z^4 - 
   (5*z^4)/a^4 + (6*z^4)/a^2 - 19*a^2*z^4 + 4*a^4*z^4 + 11*z^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56842] -> 
  1 + 12*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 32*z^4 + 
   (12*z^4)/a^4 - (36*z^4)/a^2 - 8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - 
   (43*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56843] -> 1 - 2*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   8*a^2*z^2 - 4*a^4*z^2 - 7*z^4 + (5*z^4)/a^4 - (8*z^4)/a^2 + 16*a^2*z^4 - 
   4*a^4*z^4 - 9*z^6 + (4*z^6)/a^4 - (9*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56844] -> -2/a^14 + 8/a^12 - 8/a^10 - 3/a^8 + 6/a^6 - 
   (3*z^2)/a^14 + (18*z^2)/a^12 - (20*z^2)/a^10 - (10*z^2)/a^8 + 
   (17*z^2)/a^6 - z^4/a^14 + (15*z^4)/a^12 - (20*z^4)/a^10 - (18*z^4)/a^8 + 
   (13*z^4)/a^6 + (2*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - (15*z^6)/a^8 + 
   z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 56845] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 + 15*z^2 - 
   45*a^2*z^2 + 47*a^4*z^2 - 13*a^6*z^2 + 25*z^4 - 78*a^2*z^4 + 64*a^4*z^4 - 
   13*a^6*z^4 + 19*z^6 - 69*a^2*z^6 + 44*a^4*z^6 - 6*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 15*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56846] -> -6 + 2/a^2 + 6*a^2 + a^4 - 
   2*a^6 - 18*z^2 + (8*z^2)/a^2 + 6*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 
   23*z^4 + (10*z^4)/a^2 - 4*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 16*z^6 + 
   (5*z^6)/a^2 - 9*a^2*z^6 + 10*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56847] -> 
  4 + 3/a^4 - 6/a^2 - (4*z^2)/a^6 + (12*z^2)/a^4 - (13*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - (8*z^4)/a^6 + (19*z^4)/a^4 - (7*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - 
   (5*z^6)/a^6 + (15*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56848] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - z^2 + 
   (5*z^2)/a^8 - (13*z^2)/a^6 + (9*z^2)/a^4 - z^2/a^2 - 3*z^4 + (8*z^4)/a^8 - 
   (20*z^4)/a^6 + (5*z^4)/a^4 + (8*z^4)/a^2 - z^6 + (5*z^6)/a^8 - 
   (15*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56849] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (8*z^4)/a^8 - (2*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56850] -> -2/a^8 + 4/a^6 - 3/a^4 + 2/a^2 - z^2/a^10 + 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (8*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^10 + 
   (8*z^4)/a^8 - (2*z^4)/a^6 - (13*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (7*z^6)/a^8 - (6*z^6)/a^6 - (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56851] -> 5 - a^(-2) - 7*a^2 + 6*a^4 - 2*a^6 + 8*z^2 - 
   z^2/a^2 - 16*a^2*z^2 + 13*a^4*z^2 - 3*a^6*z^2 + z^4 + (2*z^4)/a^2 - 
   14*a^2*z^4 + 13*a^4*z^4 - 3*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 8*a^2*z^6 + 
   8*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56852] -> 13 - 6/a^2 - 6*a^2 + 48*z^2 + 
   (4*z^2)/a^4 - (27*z^2)/a^2 - 19*a^2*z^2 + 79*z^4 + (8*z^4)/a^4 - 
   (46*z^4)/a^2 - 26*a^2*z^4 + 69*z^6 + (5*z^6)/a^4 - (37*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 56853] -> 
  1 + a^(-6) - 6/a^4 + 7/a^2 - 2*a^2 + 9*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (14*z^2)/a^2 - 7*a^2*z^2 + 18*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + 
   (15*z^4)/a^2 - 9*a^2*z^4 + 15*z^6 + z^6/a^6 - (9*z^6)/a^4 + (11*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56854] -> 13 + 4/a^4 - 12/a^2 - 4*a^2 + 44*z^2 + 
   (16*z^2)/a^4 - (48*z^2)/a^2 - 12*a^2*z^2 + 63*z^4 + (25*z^4)/a^4 - 
   (79*z^4)/a^2 - 13*a^2*z^4 + 44*z^6 + (19*z^6)/a^4 - (69*z^6)/a^2 - 
   6*a^2*z^6 + 15*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56855] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 + (13*z^2)/a^8 - (35*z^2)/a^6 + 
   (25*z^2)/a^4 - (5*z^2)/a^2 + (22*z^4)/a^8 - (68*z^4)/a^6 + (50*z^4)/a^4 - 
   (11*z^4)/a^2 + (18*z^6)/a^8 - (64*z^6)/a^6 + (41*z^6)/a^4 - (6*z^6)/a^2 + 
   (7*z^8)/a^8 - (33*z^8)/a^6 + (15*z^8)/a^4 - z^8/a^2 + z^10/a^8 - 
   (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, Knot[15, Alternating, 56856] -> 
  2 - a^(-6) + 3/a^4 - 3/a^2 + 5*z^2 - (6*z^2)/a^6 + (18*z^2)/a^4 - 
   (17*z^2)/a^2 + 8*z^4 - (13*z^4)/a^6 + (40*z^4)/a^4 - (34*z^4)/a^2 + 
   5*z^6 - (13*z^6)/a^6 + (44*z^6)/a^4 - (31*z^6)/a^2 + z^8 - (6*z^8)/a^6 + 
   (26*z^8)/a^4 - (13*z^8)/a^2 - z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + 
   z^12/a^4, Knot[15, Alternating, 56857] -> 2 + 3/a^8 - 7/a^6 + 6/a^4 - 
   3/a^2 - z^2 + (8*z^2)/a^8 - (21*z^2)/a^6 + (12*z^2)/a^4 - z^2/a^2 - 
   3*z^4 + (9*z^4)/a^8 - (25*z^4)/a^6 + (6*z^4)/a^4 + (8*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56858] -> 13 - 4/a^2 - 12*a^2 + 4*a^4 + 48*z^2 - 
   (16*z^2)/a^2 - 44*a^2*z^2 + 12*a^4*z^2 + 79*z^4 - (25*z^4)/a^2 - 
   63*a^2*z^4 + 13*a^4*z^4 + 69*z^6 - (19*z^6)/a^2 - 44*a^2*z^6 + 6*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 15*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56859] -> 
  3/a^8 - 6/a^6 + 2/a^4 + 2/a^2 - 2*z^2 + (7*z^2)/a^8 - (15*z^2)/a^6 + 
   z^2/a^4 + (7*z^2)/a^2 - 3*z^4 + (7*z^4)/a^8 - (18*z^4)/a^6 - (4*z^4)/a^4 + 
   (11*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - (6*z^6)/a^4 + 
   (8*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56860] -> 
  -a^(-10) + 3/a^8 - 5/a^6 + 4/a^4 - (7*z^2)/a^10 + (27*z^2)/a^8 - 
   (33*z^2)/a^6 + (16*z^2)/a^4 - (9*z^4)/a^10 + (49*z^4)/a^8 - (69*z^4)/a^6 + 
   (25*z^4)/a^4 - (5*z^6)/a^10 + (38*z^6)/a^8 - (67*z^6)/a^6 + (19*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 56861] -> 
  -a^(-10) + 2/a^8 - a^(-6) - a^(-4) + 2/a^2 - (3*z^2)/a^10 + (10*z^2)/a^8 - 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - (3*z^4)/a^10 + (15*z^4)/a^8 - 
   (9*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56862] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 - 3*z^2 + 
   (7*z^2)/a^4 - (14*z^2)/a^2 + 14*a^2*z^2 - 5*a^4*z^2 - 7*z^4 + 
   (9*z^4)/a^4 - (20*z^4)/a^2 + 18*a^2*z^4 - 4*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 10*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56863] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 2*z^2 + (2*z^2)/a^2 - 5*a^2*z^2 + 10*a^4*z^2 - 
   3*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - 6*a^2*z^4 + 12*a^4*z^4 - 3*a^6*z^4 - 
   10*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 8*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56864] -> 
  -1 - 2/a^4 + 5/a^2 - 3*a^2 + 2*a^4 + z^2 - (7*z^2)/a^4 + (14*z^2)/a^2 - 
   14*a^2*z^2 + 5*a^4*z^2 + 7*z^4 - (9*z^4)/a^4 + (20*z^4)/a^2 - 18*a^2*z^4 + 
   4*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 10*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56865] -> -a^(-10) + a^(-8) + 3/a^6 - 6/a^4 + 4/a^2 - 
   (3*z^2)/a^10 + (10*z^2)/a^8 + z^2/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 
   (3*z^4)/a^10 + (15*z^4)/a^8 - (8*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56866] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 8*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (6*z^2)/a^2 - 5*a^2*z^2 + 13*z^4 + (2*z^4)/a^6 - 
   (9*z^4)/a^4 + (8*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (7*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 56867] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 7*z^2 + (2*z^2)/a^8 - (5*z^2)/a^6 + 
   (15*z^2)/a^2 - 9*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (6*z^4)/a^4 + 
   (20*z^4)/a^2 - 5*z^6 + z^6/a^8 - (9*z^6)/a^6 + (9*z^6)/a^4 + 
   (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 56868] -> -3 + a^(-6) - 2/a^4 + 3/a^2 + 
   2*a^2 - 9*z^2 - z^2/a^6 + (4*z^2)/a^2 + 3*a^2*z^2 - 12*z^4 - (5*z^4)/a^6 + 
   (8*z^4)/a^4 + (5*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56869] -> 
  1 + 12*z^2 + (4*z^2)/a^4 - (12*z^2)/a^2 - 4*a^2*z^2 + 32*z^4 + 
   (12*z^4)/a^4 - (36*z^4)/a^2 - 8*a^2*z^4 + 31*z^6 + (13*z^6)/a^4 - 
   (43*z^6)/a^2 - 5*a^2*z^6 + 13*z^8 + (6*z^8)/a^4 - (26*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56870] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 7*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (9*z^2)/a^4 - (16*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56871] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   17*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56872] -> 
  -6 - 2/a^6 + 5/a^4 + 4*a^2 - 15*z^2 - (7*z^2)/a^6 + (17*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - (9*z^4)/a^6 + (23*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56873] -> 
  -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 + z^2 + (7*z^2)/a^4 - (16*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56874] -> 2/a^12 - 4/a^10 - 5/a^8 + 12/a^6 - 4/a^4 + 
   (5*z^2)/a^12 - (20*z^2)/a^10 + (5*z^2)/a^8 + (30*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (26*z^4)/a^8 + (30*z^4)/a^6 - 
   (13*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + (17*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 56875] -> 
  a^(-10) - a^(-8) - 7/a^6 + 12/a^4 - 4/a^2 + (4*z^2)/a^10 - (9*z^2)/a^8 - 
   (10*z^2)/a^6 + (32*z^2)/a^4 - (12*z^2)/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 - 
   z^4/a^6 + (35*z^4)/a^4 - (13*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (7*z^6)/a^6 + (21*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + (5*z^8)/a^6 + 
   (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 56876] -> -4 - 3/a^6 + 9/a^4 - 5/a^2 + 4*a^2 - 
   18*z^2 - (11*z^2)/a^6 + (27*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - 
   (13*z^4)/a^6 + (33*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (6*z^6)/a^6 + (21*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56877] -> -1 - 2/a^6 + 6/a^4 - 3/a^2 - a^2 + 2*a^4 - 
   5*z^2 - (5*z^2)/a^6 + (9*z^2)/a^4 - 7*a^2*z^2 + 3*a^4*z^2 - 2*z^4 - 
   (4*z^4)/a^6 + (7*z^4)/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 2*z^6 - 
   z^6/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 56878] -> 
  a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + (5*z^2)/a^8 - (18*z^2)/a^6 + 
   (18*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + (4*z^4)/a^8 - (26*z^4)/a^6 + 
   (29*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (27*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 56879] -> 
  -a^(-6) + a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - 
   z^4/a^6 + (11*z^4)/a^4 + z^4/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 56880] -> -4 - a^(-8) + a^(-6) + 4/a^4 - 3/a^2 + 
   4*a^2 - 10*z^2 - (4*z^2)/a^8 + (3*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + 
   4*a^2*z^2 - 8*z^4 - (4*z^4)/a^8 + (5*z^4)/a^6 + (14*z^4)/a^4 - 
   (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + 
   (2*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 56881] -> -1 - a^(-8) + 2/a^6 + a^(-4) - a^(-2) - 
   a^2 + 2*a^4 - 5*z^2 - (2*z^2)/a^8 + z^2/a^6 + (3*z^2)/a^4 - 4*a^2*z^2 + 
   a^4*z^2 - z^4 - z^4/a^8 + z^4/a^6 + (6*z^4)/a^4 + (5*z^4)/a^2 - 
   2*a^2*z^4 + z^6 + z^6/a^6 + (3*z^6)/a^4 + (3*z^6)/a^2, 
 Knot[15, Alternating, 56882] -> 2 - 2/a^6 + 5/a^4 - 4/a^2 + 7*z^2 - 
   (2*z^2)/a^8 + (3*z^2)/a^6 + (9*z^2)/a^4 - (16*z^2)/a^2 + 9*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 + (3*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56883] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   17*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 56884] -> 
  -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 + z^2 + (7*z^2)/a^4 - (16*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 + z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56885] -> -2 + 3/a^8 - 5/a^6 - 2/a^4 + 7/a^2 - 5*z^2 + 
   (8*z^2)/a^8 - (18*z^2)/a^6 + (14*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - 
   (24*z^4)/a^6 + (15*z^4)/a^2 - z^6 + (5*z^6)/a^8 - (16*z^6)/a^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (6*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56886] -> 
  -6 - 2/a^6 + 5/a^4 + 4*a^2 - 15*z^2 - (7*z^2)/a^6 + (17*z^2)/a^4 - 
   (4*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - (9*z^4)/a^6 + (23*z^4)/a^4 - 
   (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56887] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 10*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (21*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + (5*z^4)/a^6 - 
   (19*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - z^6/a^6 - (5*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56888] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - (14*z^2)/a^10 + (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (20*z^4)/a^8 + 
   (16*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 56889] -> 
  -2/a^10 + 5/a^8 + 2/a^6 - 12/a^4 + 8/a^2 - (7*z^2)/a^10 + (16*z^2)/a^8 + 
   (3*z^2)/a^6 - (28*z^2)/a^4 + (12*z^2)/a^2 - (9*z^4)/a^10 + (21*z^4)/a^8 + 
   (5*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56890] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56891] -> a^(-8) - 5/a^6 + 6/a^4 - a^(-2) - 4*z^2 + 
   (5*z^2)/a^8 - (18*z^2)/a^6 + (18*z^2)/a^4 + (2*z^2)/a^2 - 8*z^4 + 
   (4*z^4)/a^8 - (26*z^4)/a^6 + (29*z^4)/a^4 + (7*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (27*z^6)/a^4 + (9*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56892] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (5*z^2)/a^12 - (22*z^2)/a^10 + (20*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (33*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 56893] -> 4 - 5/a^6 + 13/a^4 - 11/a^2 + 
   22*z^2 - (14*z^2)/a^6 + (55*z^2)/a^4 - (61*z^2)/a^2 + 36*z^4 - 
   (14*z^4)/a^6 + (78*z^4)/a^4 - (108*z^4)/a^2 + 25*z^6 - (6*z^6)/a^6 + 
   (51*z^6)/a^4 - (92*z^6)/a^2 + 8*z^8 - z^8/a^6 + (16*z^8)/a^4 - 
   (42*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (10*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56894] -> 2/a^8 - 11/a^6 + 15/a^4 - 5/a^2 + 
   (11*z^2)/a^8 - (49*z^2)/a^6 + (68*z^2)/a^4 - (24*z^2)/a^2 + (13*z^4)/a^8 - 
   (74*z^4)/a^6 + (112*z^4)/a^4 - (37*z^4)/a^2 + (6*z^6)/a^8 - (50*z^6)/a^6 + 
   (93*z^6)/a^4 - (25*z^6)/a^2 + z^8/a^8 - (16*z^8)/a^6 + (42*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56895] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 - 5*z^2 + 
   (5*z^2)/a^8 - (20*z^2)/a^6 + (23*z^2)/a^4 + (2*z^2)/a^2 - 9*z^4 + 
   (4*z^4)/a^8 - (23*z^4)/a^6 + (24*z^4)/a^4 + (13*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (11*z^6)/a^6 + (16*z^6)/a^4 + (14*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56896] -> 4 - 2/a^8 + 2/a^6 + 5/a^4 - 8/a^2 + 12*z^2 - 
   (5*z^2)/a^8 + (15*z^2)/a^6 + (3*z^2)/a^4 - (24*z^2)/a^2 + 13*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (10*z^4)/a^4 - (30*z^4)/a^2 + 6*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (13*z^6)/a^4 - (20*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (7*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56897] -> -4/a^6 + 7/a^4 - 2/a^2 + (4*z^2)/a^10 - 
   (10*z^2)/a^8 - (2*z^2)/a^6 + (22*z^2)/a^4 - (9*z^2)/a^2 + (4*z^4)/a^10 - 
   (19*z^4)/a^8 + (8*z^4)/a^6 + (27*z^4)/a^4 - (12*z^4)/a^2 + z^6/a^10 - 
   (11*z^6)/a^8 + (12*z^6)/a^6 + (19*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 + (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 56898] -> -a^(-8) + 2/a^4 - 2*z^2 + (2*z^2)/a^10 - 
   (4*z^2)/a^8 - z^2/a^6 + (8*z^2)/a^4 + z^2/a^2 - 3*z^4 + z^4/a^10 - 
   (6*z^4)/a^8 - z^4/a^6 + (11*z^4)/a^4 + (2*z^4)/a^2 - z^6 - (2*z^6)/a^8 + 
   (2*z^6)/a^6 + (8*z^6)/a^4 + (3*z^6)/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 56899] -> 6 - a^(-6) + 7/a^4 - 11/a^2 + 17*z^2 - 
   (10*z^2)/a^6 + (38*z^2)/a^4 - (49*z^2)/a^2 + 17*z^4 - (21*z^4)/a^6 + 
   (69*z^4)/a^4 - (72*z^4)/a^2 + 7*z^6 - (18*z^6)/a^6 + (64*z^6)/a^4 - 
   (49*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - (16*z^8)/a^2 - 
   z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56900] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 44*z^2 - 
   (13*z^2)/a^2 - 49*a^2*z^2 + 16*a^4*z^2 + 78*z^4 - (24*z^4)/a^2 - 
   74*a^2*z^4 + 17*a^4*z^4 + 69*z^6 - (19*z^6)/a^2 - 50*a^2*z^6 + 7*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56901] -> 
  1 - a^(-6) + 6/a^4 - 7/a^2 + 2*a^2 - 7*z^2 - (6*z^2)/a^6 + (18*z^2)/a^4 - 
   (15*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (9*z^4)/a^6 + (23*z^4)/a^4 - 
   (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (16*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56902] -> 
  -3*a^2 + 11*a^4 - 9*a^6 + 2*a^8 - 13*a^2*z^2 + 46*a^4*z^2 - 42*a^6*z^2 + 
   13*a^8*z^2 - 22*a^2*z^4 + 74*a^4*z^4 - 67*a^6*z^4 + 16*a^8*z^4 - 
   18*a^2*z^6 + 65*a^4*z^6 - 48*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 56903] -> -1 + a^2 + 6*a^4 - 7*a^6 + 
   2*a^8 - 4*z^2 + 7*a^2*z^2 + 12*a^4*z^2 - 19*a^6*z^2 + 7*a^8*z^2 - 6*z^4 + 
   11*a^2*z^4 + 12*a^4*z^4 - 22*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 
   10*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56904] -> 
  -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 + z^2/a^10 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (24*z^2)/a^4 + (14*z^2)/a^2 - 3*z^4 - z^4/a^8 + 
   (7*z^4)/a^6 - (24*z^4)/a^4 + (14*z^4)/a^2 - z^6 + (2*z^6)/a^8 - z^6/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56905] -> 
  a^(-12) - 3/a^10 + 3/a^6 + (4*z^2)/a^12 - (14*z^2)/a^10 + (7*z^2)/a^8 + 
   (13*z^2)/a^6 - (4*z^2)/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (20*z^4)/a^8 + 
   (16*z^4)/a^6 - (8*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (22*z^6)/a^8 + 
   (11*z^6)/a^6 - (5*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 56906] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (2*z^2)/a^12 - (8*z^2)/a^10 + 
   (8*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - 
   (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - 
   (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + (3*z^6)/a^4 - z^6/a^2 + 
   (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 56907] -> 
  -3/a^10 + 8/a^8 - 5/a^6 - 3/a^4 + 4/a^2 - (6*z^2)/a^10 + (27*z^2)/a^8 - 
   (21*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - (4*z^4)/a^10 + (32*z^4)/a^8 - 
   (39*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (33*z^6)/a^6 - (15*z^6)/a^4 + (6*z^6)/a^2 + (3*z^8)/a^8 - (13*z^8)/a^6 - 
   (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56908] -> -2/a^14 + 6/a^12 - 6/a^10 - a^(-8) + 4/a^6 - 
   (6*z^2)/a^14 + (20*z^2)/a^12 - (18*z^2)/a^10 - (2*z^2)/a^8 + 
   (12*z^2)/a^6 - (5*z^4)/a^14 + (28*z^4)/a^12 - (28*z^4)/a^10 - 
   (5*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - (26*z^6)/a^10 - 
   (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 56909] -> 
  4 - a^(-4) + 2/a^2 - 8*a^2 + 4*a^4 + 6*z^2 - (6*z^2)/a^4 + (11*z^2)/a^2 - 
   22*a^2*z^2 + 8*a^4*z^2 + 8*z^4 - (9*z^4)/a^4 + (19*z^4)/a^2 - 23*a^2*z^4 + 
   5*a^4*z^4 + 9*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56910] -> 3 - 3/a^6 + 8/a^4 - 7/a^2 + 16*z^2 - 
   (9*z^2)/a^6 + (37*z^2)/a^4 - (43*z^2)/a^2 + 27*z^4 - (10*z^4)/a^6 + 
   (56*z^4)/a^4 - (80*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - 
   (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56911] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 4*z^2 + (7*z^2)/a^8 - (26*z^2)/a^6 + 
   (27*z^2)/a^4 - z^2/a^2 - 8*z^4 + (5*z^4)/a^8 - (33*z^4)/a^6 + 
   (39*z^4)/a^4 + (4*z^4)/a^2 - 5*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (32*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 56912] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (12*z^2)/a^4 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 56913] -> -4/a^6 + 11/a^4 - 8/a^2 + 2*a^2 - 6*z^2 - 
   (8*z^2)/a^6 + (34*z^2)/a^4 - (30*z^2)/a^2 + 9*a^2*z^2 - 13*z^4 - 
   (5*z^4)/a^6 + (38*z^4)/a^4 - (47*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (18*z^6)/a^4 - (37*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 56914] -> -a^(-8) + 6/a^4 - 6/a^2 + 2*a^2 - z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (9*z^2)/a^4 - (19*z^2)/a^2 + 5*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (23*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 56915] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 7*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (16*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 56916] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + 
   (11*z^2)/a^8 - (38*z^2)/a^6 + (43*z^2)/a^4 - (13*z^2)/a^2 + (13*z^4)/a^8 - 
   (61*z^4)/a^6 + (75*z^4)/a^4 - (24*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (68*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56917] -> 13 - 3/a^2 - 15*a^2 + 6*a^4 + 50*z^2 - 
   (14*z^2)/a^2 - 58*a^2*z^2 + 19*a^4*z^2 + 80*z^4 - (24*z^4)/a^2 - 
   79*a^2*z^4 + 18*a^4*z^4 + 69*z^6 - (19*z^6)/a^2 - 51*a^2*z^6 + 7*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56918] -> 
  -1 - 2/a^4 + 6/a^2 - 6*a^2 + 4*a^4 - 3*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 - 
   19*a^2*z^2 + 8*a^4*z^2 + 3*z^4 - (9*z^4)/a^4 + (21*z^4)/a^2 - 22*a^2*z^4 + 
   5*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 56919] -> -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 6*z^2 + 
   14*a^2*z^2 + 2*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 7*z^4 + 17*a^2*z^4 + 
   4*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56920] -> 1 + 20*z^2 - (6*z^2)/a^2 - 
   22*a^2*z^2 + 8*a^4*z^2 + 48*z^4 - (15*z^4)/a^2 - 47*a^2*z^4 + 12*a^4*z^4 + 
   49*z^6 - (14*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 27*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 56921] -> 13 + 4/a^4 - 12/a^2 - 4*a^2 + 52*z^2 + 
   (16*z^2)/a^4 - (52*z^2)/a^2 - 16*a^2*z^2 + 75*z^4 + (25*z^4)/a^4 - 
   (83*z^4)/a^2 - 17*a^2*z^4 + 50*z^6 + (19*z^6)/a^4 - (70*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56922] -> 
  8 + 3/a^4 - 8/a^2 - 2*a^2 + 15*z^2 + (9*z^2)/a^4 - (25*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + (10*z^4)/a^4 - (28*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 56923] -> 2/a^12 - 7/a^10 + 5/a^8 + a^(-6) + 
   (5*z^2)/a^12 - (22*z^2)/a^10 + (20*z^2)/a^8 + (8*z^2)/a^6 - (4*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (33*z^4)/a^8 + (12*z^4)/a^6 - (8*z^4)/a^4 + 
   z^6/a^12 - (15*z^6)/a^10 + (28*z^6)/a^8 + (10*z^6)/a^6 - (5*z^6)/a^4 - 
   (3*z^8)/a^10 + (12*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + 
   z^10/a^6, Knot[15, Alternating, 56924] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (12*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + (16*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56925] -> a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 
   2*z^2 + (2*z^2)/a^10 - (9*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + 
   (6*z^2)/a^2 - 3*z^4 + z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - 
   (11*z^4)/a^4 + (9*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (11*z^6)/a^6 - 
   (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^4, Knot[15, Alternating, 56926] -> a^(-12) - 3/a^10 + 3/a^6 + 
   (2*z^2)/a^12 - (7*z^2)/a^10 + (12*z^2)/a^6 + z^2/a^4 - (2*z^2)/a^2 + 
   z^4/a^12 - (8*z^4)/a^10 + (3*z^4)/a^8 + (16*z^4)/a^6 + z^4/a^4 - 
   (3*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + (11*z^6)/a^6 + (2*z^6)/a^4 - 
   z^6/a^2 + (2*z^8)/a^8 + (3*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 56927] -> -1 - 5/a^6 + 12/a^4 - 7/a^2 + 2*a^2 - 
   12*z^2 - (9*z^2)/a^6 + (33*z^2)/a^4 - (21*z^2)/a^2 + 10*a^2*z^2 - 23*z^4 - 
   (5*z^4)/a^6 + (32*z^4)/a^4 - (28*z^4)/a^2 + 13*a^2*z^4 - 19*z^6 - 
   z^6/a^6 + (13*z^6)/a^4 - (20*z^6)/a^2 + 6*a^2*z^6 - 7*z^8 + (2*z^8)/a^4 - 
   (7*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56928] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + 5*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - 
   (9*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - (10*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 56929] -> -1 - 2/a^8 + 2/a^6 + 4/a^4 - 4/a^2 + 2*a^2 - 
   3*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 + (6*z^2)/a^4 - (14*z^2)/a^2 + 
   5*a^2*z^2 - 5*z^4 - z^4/a^8 + (8*z^4)/a^6 - (18*z^4)/a^2 + 4*a^2*z^4 - 
   4*z^6 + (2*z^6)/a^6 - (3*z^6)/a^4 - (10*z^6)/a^2 + a^2*z^6 - z^8 - 
   z^8/a^4 - (2*z^8)/a^2, Knot[15, Alternating, 56930] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 4*z^2 + (7*z^2)/a^8 - (26*z^2)/a^6 + 
   (27*z^2)/a^4 - z^2/a^2 - 8*z^4 + (5*z^4)/a^8 - (33*z^4)/a^6 + 
   (39*z^4)/a^4 + (4*z^4)/a^2 - 5*z^6 + z^6/a^8 - (17*z^6)/a^6 + 
   (32*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (13*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 56931] -> 
  a^(-8) - 4/a^6 + 4/a^4 - 2*z^2 + (2*z^2)/a^10 - (2*z^2)/a^8 - (8*z^2)/a^6 + 
   (12*z^2)/a^4 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - (3*z^4)/a^6 + 
   (15*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 56932] -> -4/a^6 + 11/a^4 - 8/a^2 + 2*a^2 - 6*z^2 - 
   (8*z^2)/a^6 + (34*z^2)/a^4 - (30*z^2)/a^2 + 9*a^2*z^2 - 13*z^4 - 
   (5*z^4)/a^6 + (38*z^4)/a^4 - (47*z^4)/a^2 + 12*a^2*z^4 - 13*z^6 - 
   z^6/a^6 + (18*z^6)/a^4 - (37*z^6)/a^2 + 6*a^2*z^6 - 6*z^8 + (3*z^8)/a^4 - 
   (14*z^8)/a^2 + a^2*z^8 - z^10 - (2*z^10)/a^2, 
 Knot[15, Alternating, 56933] -> -a^(-8) + 6/a^4 - 6/a^2 + 2*a^2 - z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 + (9*z^2)/a^4 - (19*z^2)/a^2 + 5*a^2*z^2 - 
   3*z^4 - z^4/a^8 + (8*z^4)/a^6 - (23*z^4)/a^2 + 4*a^2*z^4 - 3*z^6 + 
   (3*z^6)/a^6 - (5*z^6)/a^4 - (13*z^6)/a^2 + a^2*z^6 - z^8 - (2*z^8)/a^4 - 
   (3*z^8)/a^2, Knot[15, Alternating, 56934] -> 
  -3/a^10 + 9/a^8 - 9/a^6 + 2/a^4 + 2/a^2 - (6*z^2)/a^10 + (26*z^2)/a^8 - 
   (25*z^2)/a^6 - z^2/a^4 + (7*z^2)/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - 
   (36*z^4)/a^6 - (9*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - 
   (29*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56935] -> -2/a^14 + 7/a^12 - 10/a^10 + 4/a^8 + 2/a^6 - 
   (7*z^2)/a^14 + (24*z^2)/a^12 - (27*z^2)/a^10 + (8*z^2)/a^8 + (9*z^2)/a^6 - 
   (5*z^4)/a^14 + (32*z^4)/a^12 - (37*z^4)/a^10 + (3*z^4)/a^8 + 
   (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (31*z^6)/a^10 - (6*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 56936] -> 
  -2/a^14 + 6/a^12 - 6/a^10 - a^(-8) + 4/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - 
   (9*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (7*z^4)/a^10 - (9*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56937] -> 
  -2/a^10 + a^(-8) + 2/a^6 - (4*z^2)/a^14 + (6*z^2)/a^12 - z^2/a^10 - 
   (2*z^2)/a^8 + (9*z^2)/a^6 - (4*z^4)/a^14 + (15*z^4)/a^12 - (2*z^4)/a^10 - 
   (9*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (10*z^6)/a^12 - (7*z^6)/a^10 - 
   (12*z^6)/a^8 + (6*z^6)/a^6 + (2*z^8)/a^12 - (5*z^8)/a^10 - (6*z^8)/a^8 + 
   z^8/a^6 - z^10/a^10 - z^10/a^8, Knot[15, Alternating, 56938] -> 
  -a^(-12) + 2/a^10 - 4/a^8 + 4/a^6 - (2*z^2)/a^14 + z^2/a^12 + 
   (6*z^2)/a^10 - (7*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (5*z^4)/a^12 + (5*z^4)/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (3*z^4)/a^4 + 
   (2*z^6)/a^12 - z^6/a^10 - (7*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - z^8/a^10 - 
   (2*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 56939] -> 
  -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 7*z^2 + 17*a^2*z^2 - a^4*z^2 - 
   12*a^6*z^2 + 5*a^8*z^2 - 9*z^4 + 23*a^2*z^4 - a^4*z^4 - 15*a^6*z^4 + 
   4*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56940] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 4*z^2 - 
   (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 2*a^2*z^2 - 
   9*z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + 3*a^2*z^4 - 
   7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 56941] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (3*z^2)/a^12 - (13*z^2)/a^10 + 
   (9*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + 
   (10*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 + z^6/a^12 - (8*z^6)/a^10 + 
   (7*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + 
   (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56942] -> -1 + 10*a^4 - 12*a^6 + 4*a^8 - 4*z^2 + 
   5*a^2*z^2 + 16*a^4*z^2 - 21*a^6*z^2 + 6*a^8*z^2 - 6*z^4 + 12*a^2*z^4 + 
   11*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 7*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 56943] -> -2 - a^2 + 15*a^4 - 15*a^6 + 
   4*a^8 - 7*z^2 + 42*a^4*z^2 - 37*a^6*z^2 + 8*a^8*z^2 - 9*z^4 + 6*a^2*z^4 + 
   51*a^4*z^4 - 37*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 9*a^2*z^6 + 35*a^4*z^6 - 
   17*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 13*a^4*z^8 - 3*a^6*z^8 + 
   a^2*z^10 + 2*a^4*z^10, Knot[15, Alternating, 56944] -> 
  -6 - a^(-8) + 2/a^6 + 2/a^2 + 4*a^2 - 17*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + (12*z^2)/a^2 + 4*a^2*z^2 - 13*z^4 - (4*z^4)/a^8 + 
   (13*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (9*z^6)/a^6 - (10*z^6)/a^4 + (14*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 56945] -> 
  -3 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 - a^2 + 2*a^4 - 3*z^2 - (2*z^2)/a^8 + 
   (4*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + a^4*z^2 + 4*z^4 - 
   z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + 
   (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 56946] -> 2 - a^(-2) + 3*a^4 - 5*a^6 + 2*a^8 + 6*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 4*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 56947] -> -2/a^18 + 12/a^16 - 22/a^14 + 11/a^12 + 
   2/a^10 - z^2/a^18 + (18*z^2)/a^16 - (61*z^2)/a^14 + (46*z^2)/a^12 + 
   (11*z^2)/a^10 + (4*z^4)/a^16 - (55*z^4)/a^14 + (76*z^4)/a^12 + 
   (21*z^4)/a^10 - (3*z^6)/a^16 - (15*z^6)/a^14 + (60*z^6)/a^12 + 
   (18*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 56948] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 + (6*z^2)/a^16 - 
   (23*z^2)/a^14 + (5*z^2)/a^12 + (22*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - 
   (16*z^4)/a^14 + (18*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 56949] -> 
  -a^(-10) + 2/a^8 - 3/a^6 + 3/a^4 - (7*z^2)/a^10 + (26*z^2)/a^8 - 
   (30*z^2)/a^6 + (15*z^2)/a^4 - (9*z^4)/a^10 + (49*z^4)/a^8 - (68*z^4)/a^6 + 
   (25*z^4)/a^4 - (5*z^6)/a^10 + (38*z^6)/a^8 - (67*z^6)/a^6 + (19*z^6)/a^4 - 
   z^8/a^10 + (14*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - 
   (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, Knot[15, Alternating, 56950] -> 
  -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - (4*z^2)/a^10 + (17*z^2)/a^8 - 
   (18*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - (3*z^4)/a^10 + (18*z^4)/a^8 - 
   (20*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + (9*z^6)/a^8 - 
   (13*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56951] -> 4/a^8 - 19/a^6 + 25/a^4 - 9/a^2 + 
   (10*z^2)/a^8 - (57*z^2)/a^6 + (87*z^2)/a^4 - (32*z^2)/a^2 + (10*z^4)/a^8 - 
   (72*z^4)/a^6 + (127*z^4)/a^4 - (42*z^4)/a^2 + (5*z^6)/a^8 - (46*z^6)/a^6 + 
   (99*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56952] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 8*z^2 + 
   (4*z^2)/a^8 - (23*z^2)/a^6 + (28*z^2)/a^4 + (6*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (22*z^4)/a^6 + (30*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (18*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56953] -> -3/a^10 + 8/a^8 - 5/a^6 - 3/a^4 + 4/a^2 - 
   (6*z^2)/a^10 + (27*z^2)/a^8 - (21*z^2)/a^6 - (12*z^2)/a^4 + (12*z^2)/a^2 - 
   (4*z^4)/a^10 + (32*z^4)/a^8 - (39*z^4)/a^6 - (19*z^4)/a^4 + (13*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (33*z^6)/a^6 - (15*z^6)/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^8 - (13*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 56954] -> 2/a^12 - 6/a^10 + 3/a^8 + 
   2/a^6 + (9*z^2)/a^12 - (33*z^2)/a^10 + (33*z^2)/a^8 - (3*z^2)/a^6 + 
   (12*z^4)/a^12 - (55*z^4)/a^10 + (68*z^4)/a^8 - (16*z^4)/a^6 + 
   (6*z^6)/a^12 - (42*z^6)/a^10 + (64*z^6)/a^8 - (17*z^6)/a^6 + z^8/a^12 - 
   (15*z^8)/a^10 + (33*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + 
   (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 56955] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + (5*z^2)/a^12 - (18*z^2)/a^10 + 
   (17*z^2)/a^8 + z^2/a^4 + (4*z^4)/a^12 - (19*z^4)/a^10 + (17*z^4)/a^8 + 
   (7*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + (11*z^6)/a^8 + 
   (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + (5*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 56956] -> 
  -5*a^2 + 19*a^4 - 19*a^6 + 6*a^8 - 16*a^2*z^2 + 58*a^4*z^2 - 57*a^6*z^2 + 
   17*a^8*z^2 - 23*a^2*z^4 + 80*a^4*z^4 - 74*a^6*z^4 + 17*a^8*z^4 - 
   18*a^2*z^6 + 66*a^4*z^6 - 49*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 56957] -> -2 + 4*a^2 + 5*a^4 - 10*a^6 + 
   4*a^8 - 5*z^2 + 10*a^2*z^2 + 11*a^4*z^2 - 23*a^6*z^2 + 8*a^8*z^2 - 6*z^4 + 
   12*a^2*z^4 + 12*a^4*z^4 - 23*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 
   10*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56958] -> 
  -4 + 13*a^2 - 9*a^4 - a^6 + 2*a^8 - 10*z^2 + 29*a^2*z^2 - 16*a^4*z^2 - 
   8*a^6*z^2 + 5*a^8*z^2 - 10*z^4 + 29*a^2*z^4 - 8*a^4*z^4 - 14*a^6*z^4 + 
   4*a^8*z^4 - 5*z^6 + 17*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56959] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 + z^2 + 
   (7*z^2)/a^4 - (16*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56960] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (18*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (10*z^4)/a^8 + (18*z^4)/a^6 - (3*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 56961] -> a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 
   3/a^2 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + (18*z^2)/a^6 - (19*z^2)/a^4 + 
   (11*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + (11*z^4)/a^6 - (20*z^4)/a^4 + 
   (13*z^4)/a^2 - z^6 + (2*z^6)/a^8 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56962] -> -2 + 2/a^8 - a^(-6) - 7/a^4 + 9/a^2 - 
   5*z^2 + (6*z^2)/a^8 - (9*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (16*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 56963] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 + 11*z^2 - 
   (8*z^2)/a^6 + (29*z^2)/a^4 - (30*z^2)/a^2 + 23*z^4 - (10*z^4)/a^6 + 
   (51*z^4)/a^4 - (67*z^4)/a^2 + 19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - 
   (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 56964] -> 
  3 - 3/a^6 + 8/a^4 - 7/a^2 + 9*z^2 - (2*z^2)/a^8 + (2*z^2)/a^6 + 
   (14*z^2)/a^4 - (22*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + 
   (5*z^4)/a^4 - (27*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 56965] -> -2 + 2/a^8 - 8/a^6 + 7/a^4 + 
   2/a^2 - 7*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + (22*z^2)/a^4 + (7*z^2)/a^2 - 
   9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + (33*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (15*z^6)/a^6 + (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + 
   (12*z^8)/a^4 + (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56966] -> a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - 2*z^2 + 
   (2*z^2)/a^10 - (7*z^2)/a^8 + z^2/a^6 + (11*z^2)/a^4 - z^2/a^2 - 3*z^4 + 
   z^4/a^10 - (8*z^4)/a^8 + (3*z^4)/a^6 + (15*z^4)/a^4 - z^6 - (3*z^6)/a^8 + 
   (5*z^6)/a^6 + (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 56967] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 
   2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (15*z^2)/a^4 - 
   z^2/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + (7*z^4)/a^4 + 
   (4*z^4)/a^2 - z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + 
   (3*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 56968] -> -2 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 
   2*a^2 - 8*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 
   5*a^2*z^2 - 12*z^4 - z^4/a^8 + (9*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + 
   4*a^2*z^4 - 8*z^6 + (3*z^6)/a^6 - (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 56969] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + 
   (11*z^2)/a^8 - (42*z^2)/a^6 + (51*z^2)/a^4 - (16*z^2)/a^2 + (13*z^4)/a^8 - 
   (62*z^4)/a^6 + (80*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 56970] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (17*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (8*z^6)/a^6 + (14*z^6)/a^4 - (5*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 56971] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 32*z^2 - 
   (9*z^2)/a^2 - 37*a^2*z^2 + 12*a^4*z^2 + 54*z^4 - (16*z^4)/a^2 - 
   54*a^2*z^4 + 13*a^4*z^4 + 50*z^6 - (14*z^6)/a^2 - 39*a^2*z^6 + 6*a^4*z^6 + 
   27*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 56972] -> 
  -5*a^2 + 19*a^4 - 19*a^6 + 6*a^8 - 18*a^2*z^2 + 62*a^4*z^2 - 59*a^6*z^2 + 
   17*a^8*z^2 - 26*a^2*z^4 + 88*a^4*z^4 - 77*a^6*z^4 + 17*a^8*z^4 - 
   19*a^2*z^6 + 71*a^4*z^6 - 50*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   34*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 56973] -> -3 + 9*a^2 - 4*a^4 - 3*a^6 + 
   2*a^8 - 9*z^2 + 23*a^2*z^2 - 5*a^4*z^2 - 15*a^6*z^2 + 7*a^8*z^2 - 10*z^4 + 
   25*a^2*z^4 + 2*a^4*z^4 - 21*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 
   8*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 56974] -> 
  -2 - 2/a^8 + 5/a^6 - 3/a^4 + a^(-2) + 2*a^2 - 10*z^2 - z^2/a^8 + 
   (10*z^2)/a^6 - (12*z^2)/a^4 + (6*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + 
   (3*z^4)/a^6 - (12*z^4)/a^4 + (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (2*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 56975] -> -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 
   4/a^6 - (3*z^2)/a^14 + (9*z^2)/a^12 - (5*z^2)/a^10 - (4*z^2)/a^8 + 
   (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (12*z^4)/a^12 - (10*z^4)/a^10 - 
   (7*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (10*z^6)/a^10 - 
   (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 56976] -> -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 
   2/a^2 - z^2/a^12 + (5*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - 
   (9*z^2)/a^4 + (5*z^2)/a^2 - (2*z^4)/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + 
   (4*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 56977] -> -3/a^10 + 9/a^8 - 9/a^6 + 
   2/a^4 + 2/a^2 - (6*z^2)/a^10 + (26*z^2)/a^8 - (25*z^2)/a^6 - z^2/a^4 + 
   (7*z^2)/a^2 - (4*z^4)/a^10 + (29*z^4)/a^8 - (36*z^4)/a^6 - (9*z^4)/a^4 + 
   (9*z^4)/a^2 - z^6/a^10 + (15*z^6)/a^8 - (29*z^6)/a^6 - (10*z^6)/a^4 + 
   (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 56978] -> 
  -2 + 4*a^2 + 5*a^4 - 10*a^6 + 4*a^8 - 7*z^2 + 14*a^2*z^2 + 9*a^4*z^2 - 
   23*a^6*z^2 + 8*a^8*z^2 - 9*z^4 + 20*a^2*z^4 + 9*a^4*z^4 - 23*a^6*z^4 + 
   5*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 9*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 56979] -> 1 - a^(-2) + 4*a^2 - 2*a^4 - 3*a^6 + 2*a^8 + 
   3*z^2 - (3*z^2)/a^2 + 9*a^2*z^2 - 6*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 
   4*z^4 - (3*z^4)/a^2 + 10*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 
   3*z^6 - z^6/a^2 + 7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   a^4*z^8, Knot[15, Alternating, 56980] -> a^(-12) - 2/a^10 - 2/a^8 + 
   4/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - (6*z^2)/a^10 - (2*z^2)/a^8 + 
   (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (9*z^4)/a^10 - 
   (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (9*z^6)/a^10 - 
   (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 56981] -> 2 - 3/a^10 + 8/a^8 - 6/a^6 + a^(-4) - 
   a^(-2) + 5*z^2 - (3*z^2)/a^10 + (17*z^2)/a^8 - (14*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (16*z^4)/a^6 - (10*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 56982] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 
   5/a^2 + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (14*z^2)/a^2 + 
   2*a^2*z^2 - z^4/a^8 + (7*z^4)/a^6 + z^4/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 56983] -> 
  5 - 2/a^2 - a^2 - 3*a^6 + 2*a^8 + 9*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 8*z^4 - (3*z^4)/a^2 + 3*a^4*z^4 - 
   7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 56984] -> 
  23 + 6/a^4 - 20/a^2 - 8*a^2 + 69*z^2 + (21*z^2)/a^4 - (68*z^2)/a^2 - 
   20*a^2*z^2 + 85*z^4 + (29*z^4)/a^4 - (97*z^4)/a^2 - 18*a^2*z^4 + 52*z^6 + 
   (20*z^6)/a^4 - (76*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (35*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 56985] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 8*z^2 - 
   25*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 + 16*z^4 - 52*a^2*z^4 + 49*a^4*z^4 - 
   12*a^6*z^4 + 14*z^6 - 50*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56986] -> -2 + a^(-10) - 5/a^8 + 6/a^6 - 
   4/a^4 + 5/a^2 - 5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - 
   (12*z^2)/a^4 + (14*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - 
   (13*z^4)/a^4 + (16*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - (8*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 56987] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56988] -> 
  a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - (3*z^2)/a^14 + (5*z^2)/a^12 - 
   (8*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + (19*z^4)/a^12 - 
   (13*z^4)/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (14*z^6)/a^12 - 
   (20*z^6)/a^10 - (9*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (11*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 56989] -> -a^(-10) - 2/a^8 + 7/a^6 - 5/a^4 + 2/a^2 - 
   z^2/a^12 - z^2/a^8 + (16*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^10 + (3*z^4)/a^8 + (13*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56990] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 + 15*z^2 - 
   49*a^2*z^2 + 55*a^4*z^2 - 17*a^6*z^2 + 25*z^4 - 82*a^2*z^4 + 76*a^4*z^4 - 
   17*a^6*z^4 + 19*z^6 - 70*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 56991] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 - 
   2*z^2 + (3*z^2)/a^2 - 14*a^2*z^2 + 24*a^4*z^2 - 8*a^6*z^2 - 9*z^4 + 
   (6*z^4)/a^2 - 15*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 56992] -> 
  -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - z^2/a^12 + z^2/a^10 - (3*z^2)/a^8 + 
   (14*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^10 + (2*z^4)/a^8 + 
   (12*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 56993] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 13*a^4*z^2 - 5*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 56994] -> 3/a^4 - 6/a^2 + 8*a^2 - 4*a^4 - 
   z^2 + (9*z^2)/a^4 - (20*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 
   (10*z^4)/a^4 - (24*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 56995] -> 
  -2 + 2/a^8 - 8/a^6 + 7/a^4 + 2/a^2 - 7*z^2 + (5*z^2)/a^8 - (22*z^2)/a^6 + 
   (22*z^2)/a^4 + (7*z^2)/a^2 - 9*z^4 + (4*z^4)/a^8 - (27*z^4)/a^6 + 
   (33*z^4)/a^4 + (11*z^4)/a^2 - 5*z^6 + z^6/a^8 - (15*z^6)/a^6 + 
   (28*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (3*z^8)/a^6 + (12*z^8)/a^4 + 
   (5*z^8)/a^2 + (2*z^10)/a^4 + z^10/a^2, Knot[15, Alternating, 56996] -> 
  a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + (4*z^2)/a^12 - (15*z^2)/a^10 + 
   (15*z^2)/a^8 + z^2/a^4 + (4*z^4)/a^12 - (22*z^4)/a^10 + (25*z^4)/a^8 + 
   (3*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - (14*z^6)/a^10 + (23*z^6)/a^8 + 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + (11*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 56997] -> 
  1 - 3/a^6 + 10/a^4 - 9/a^2 + 2*a^2 - 7*z^2 - (9*z^2)/a^6 + (26*z^2)/a^4 - 
   (18*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - (10*z^4)/a^6 + (28*z^4)/a^4 - 
   (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (5*z^6)/a^6 + (17*z^6)/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (6*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 56998] -> 
  -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - (5*z^2)/a^10 + (19*z^2)/a^8 - 
   (20*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (24*z^4)/a^8 - 
   (28*z^4)/a^6 + (5*z^4)/a^2 - z^6/a^10 + (14*z^6)/a^8 - (24*z^6)/a^6 - 
   (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - (11*z^8)/a^6 - (4*z^8)/a^4 + 
   z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, Knot[15, Alternating, 56999] -> 
  1 - a^(-8) + a^(-6) + 5/a^4 - 7/a^2 + 2*a^2 - 4*z^2 - (3*z^2)/a^8 + 
   (2*z^2)/a^6 + (12*z^2)/a^4 - (14*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^8 + (3*z^4)/a^6 + (13*z^4)/a^4 - (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 57000] -> 13 + 4/a^4 - 12/a^2 - 4*a^2 + 
   52*z^2 + (16*z^2)/a^4 - (52*z^2)/a^2 - 16*a^2*z^2 + 75*z^4 + 
   (25*z^4)/a^4 - (83*z^4)/a^2 - 17*a^2*z^4 + 50*z^6 + (19*z^6)/a^4 - 
   (70*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57001] -> 8 + 3/a^4 - 8/a^2 - 2*a^2 + 15*z^2 + 
   (9*z^2)/a^4 - (25*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 8*z^4 + 
   (10*z^4)/a^4 - (28*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 3*z^6 + 
   (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57002] -> 
  a^(-10) - a^(-8) - 7/a^6 + 12/a^4 - 4/a^2 + (4*z^2)/a^10 - (9*z^2)/a^8 - 
   (10*z^2)/a^6 + (32*z^2)/a^4 - (12*z^2)/a^2 + (4*z^4)/a^10 - (16*z^4)/a^8 - 
   z^4/a^6 + (35*z^4)/a^4 - (13*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + 
   (7*z^6)/a^6 + (21*z^6)/a^4 - (6*z^6)/a^2 - (2*z^8)/a^8 + (5*z^8)/a^6 + 
   (7*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 57003] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + 
   (2*z^2)/a^6 - (7*z^2)/a^4 + (5*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + 
   (3*z^4)/a^6 - (11*z^4)/a^4 + (6*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (6*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57004] -> 
  -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 10*z^2 - (6*z^2)/a^6 + (16*z^2)/a^4 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (7*z^4)/a^6 + (18*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57005] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 57006] -> 
  -2 - a^(-8) + 4/a^6 - 8/a^4 + 8/a^2 - 10*z^2 - z^2/a^8 + (9*z^2)/a^6 - 
   (21*z^2)/a^4 + (23*z^2)/a^2 + 2*a^2*z^2 - 13*z^4 + (5*z^4)/a^6 - 
   (19*z^4)/a^4 + (23*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - z^6/a^6 - (5*z^6)/a^4 + 
   (11*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (2*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57007] -> 
  a^(-10) - 3/a^8 + 4/a^4 - a^(-2) - 2*z^2 + (2*z^2)/a^10 - (7*z^2)/a^8 + 
   z^2/a^6 + (11*z^2)/a^4 - z^2/a^2 - 3*z^4 + z^4/a^10 - (8*z^4)/a^8 + 
   (3*z^4)/a^6 + (15*z^4)/a^4 - z^6 - (3*z^6)/a^8 + (5*z^6)/a^6 + 
   (11*z^6)/a^4 + (2*z^6)/a^2 + (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, 
 Knot[15, Alternating, 57008] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (2*z^2)/a^12 - (8*z^2)/a^10 + (8*z^2)/a^8 - z^2/a^6 + (6*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4/a^12 - (8*z^4)/a^10 + (8*z^4)/a^8 + (3*z^4)/a^6 + 
   (5*z^4)/a^4 - (3*z^4)/a^2 - (3*z^6)/a^10 + (6*z^6)/a^8 + (5*z^6)/a^6 + 
   (3*z^6)/a^4 - z^6/a^2 + (2*z^8)/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57009] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 23*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 57010] -> 
  4 - 2/a^10 + 6/a^8 - 4/a^6 + a^(-4) - 4/a^2 + 4*z^2 - (5*z^2)/a^10 + 
   (13*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 - (10*z^2)/a^2 + z^4 - (4*z^4)/a^10 + 
   (11*z^4)/a^8 - (3*z^4)/a^6 + (2*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^10 + 
   (5*z^6)/a^8 + (2*z^6)/a^6 + (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + 
   z^8/a^6 + z^8/a^4, Knot[15, Alternating, 57011] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (2*z^2)/a^12 - (9*z^2)/a^10 + 
   (18*z^2)/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + z^4/a^12 - (11*z^4)/a^10 + 
   (10*z^4)/a^8 + (18*z^4)/a^6 - (3*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (11*z^6)/a^6 + (2*z^6)/a^4 - z^6/a^2 + (3*z^8)/a^8 + (3*z^8)/a^6 + 
   z^8/a^4, Knot[15, Alternating, 57012] -> -a^(-6) + a^(-4) + a^(-2) - 
   2*z^2 + (2*z^2)/a^10 - (3*z^2)/a^8 - (3*z^2)/a^6 + (6*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + z^4/a^10 - (7*z^4)/a^8 - z^4/a^6 + (11*z^4)/a^4 + 
   z^4/a^2 - z^6 - (3*z^6)/a^8 + (4*z^6)/a^6 + (10*z^6)/a^4 + (2*z^6)/a^2 + 
   (2*z^8)/a^6 + (3*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 57013] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 10*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 
   4*a^8*z^2 - 6*z^4 + 14*a^2*z^4 + 2*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 
   4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57014] -> 8 - 2/a^2 - 6*a^2 - a^4 + 2*a^6 + 20*z^2 - 
   (7*z^2)/a^2 - 11*a^2*z^2 - 12*a^4*z^2 + 7*a^6*z^2 + 22*z^4 - (9*z^4)/a^2 - 
   2*a^2*z^4 - 20*a^4*z^4 + 5*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 57015] -> a^(-8) - 2/a^6 + 2/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57016] -> -2 + a^(-10) - 5/a^8 + 6/a^6 - 4/a^4 + 
   5/a^2 - 5*z^2 + z^2/a^10 - (9*z^2)/a^8 + (17*z^2)/a^6 - (12*z^2)/a^4 + 
   (14*z^2)/a^2 - 4*z^4 - (3*z^4)/a^8 + (13*z^4)/a^6 - (13*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (2*z^6)/a^8 + z^6/a^6 - (8*z^6)/a^4 + (9*z^6)/a^2 + 
   z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57017] -> 2 - 3/a^10 + 8/a^8 - 6/a^6 + a^(-4) - 
   a^(-2) + 5*z^2 - (3*z^2)/a^10 + (17*z^2)/a^8 - (14*z^2)/a^6 - 
   (2*z^2)/a^4 - (4*z^2)/a^2 + 4*z^4 - z^4/a^10 + (12*z^4)/a^8 - 
   (16*z^4)/a^6 - (10*z^4)/a^4 - (6*z^4)/a^2 + z^6 + (3*z^6)/a^8 - 
   (9*z^6)/a^6 - (8*z^6)/a^4 - (4*z^6)/a^2 - (2*z^8)/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 57018] -> -2/a^14 + 6/a^12 - 7/a^10 + 
   3/a^8 - a^(-6) + 2/a^4 - (3*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 + 
   (6*z^2)/a^8 - (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - 
   (11*z^4)/a^10 - (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - 
   (5*z^6)/a^8 - (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 57019] -> -2 + 6*a^2 - 3*a^4 - z^2 - 
   z^2/a^2 + 11*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - 
   (2*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - 
   z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 57020] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   23*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 
   26*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 
   15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + 
   (2*z^8)/a^2 + 3*a^2*z^8 - z^10, Knot[15, Alternating, 57021] -> 
  3 - a^(-4) + 2/a^2 - 4*a^2 - a^4 + 2*a^6 + 6*z^2 - (3*z^2)/a^4 + 
   (4*z^2)/a^2 - 9*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 9*z^4 - (3*z^4)/a^4 + 
   (4*z^4)/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + 
   (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 57022] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 + 4*z^2 + 
   (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 2*a^2*z^2 + 
   5*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - (3*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 57023] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^10 + (11*z^4)/a^8 - (8*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57024] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 
   9*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 + z^2/a^4 - (17*z^2)/a^2 + 10*z^4 - 
   (3*z^4)/a^8 + (15*z^4)/a^6 - (8*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57025] -> 2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + 
   (3*z^2)/a^12 - (14*z^2)/a^10 + (17*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^4)/a^12 - (13*z^4)/a^10 + (15*z^4)/a^8 + z^4/a^6 - z^4/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (8*z^6)/a^8 + (5*z^6)/a^6 - (3*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57026] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   17*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 - (3*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (4*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57027] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^10 - (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (14*z^2)/a^4 - (4*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (18*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (7*z^6)/a^6 + (14*z^6)/a^4 - 
   (5*z^6)/a^2 - (2*z^8)/a^8 + (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + 
   z^10/a^6 + z^10/a^4, Knot[15, Alternating, 57028] -> 
  -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 2*z^2 + 3*a^2*z^2 + 12*a^4*z^2 - 
   15*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 10*a^4*z^4 - 16*a^6*z^4 + 
   4*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 7*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57029] -> 12 - 3/a^2 - 11*a^2 + a^4 + 2*a^6 + 25*z^2 - 
   (8*z^2)/a^2 - 18*a^2*z^2 - 10*a^4*z^2 + 7*a^6*z^2 + 24*z^4 - (9*z^4)/a^2 - 
   6*a^2*z^4 - 19*a^4*z^4 + 5*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 6*a^2*z^6 - 
   11*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 57030] -> -2 - 2/a^4 + 6/a^2 - 2*a^2 - 
   a^4 + 2*a^6 - z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 57031] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + 
   (8*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57032] -> 
  a^(-10) - 5/a^8 + 8/a^6 - 6/a^4 + 3/a^2 - 2*z^2 + z^2/a^10 - (7*z^2)/a^8 + 
   (18*z^2)/a^6 - (19*z^2)/a^4 + (11*z^2)/a^2 - 3*z^4 - (2*z^4)/a^8 + 
   (11*z^4)/a^6 - (20*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (2*z^6)/a^8 - 
   (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57033] -> 
  -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - (5*z^2)/a^10 + (17*z^2)/a^8 - 
   (11*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - (6*z^4)/a^10 + (17*z^4)/a^8 - 
   (6*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (11*z^6)/a^8 + 
   (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57034] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 + 15*z^2 - 
   49*a^2*z^2 + 55*a^4*z^2 - 17*a^6*z^2 + 25*z^4 - 82*a^2*z^4 + 76*a^4*z^4 - 
   17*a^6*z^4 + 19*z^6 - 70*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57035] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 - 
   2*z^2 + (3*z^2)/a^2 - 14*a^2*z^2 + 24*a^4*z^2 - 8*a^6*z^2 - 9*z^4 + 
   (6*z^4)/a^2 - 15*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 
   11*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57036] -> 
  -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - (4*z^2)/a^4 + (12*z^2)/a^2 - 
   5*a^2*z^2 + 4*a^4*z^2 - 3*z^4 - (6*z^4)/a^4 + (15*z^4)/a^2 - 13*a^2*z^4 + 
   4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + (11*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57037] -> -2 + 6*a^2 - 3*a^4 - 4*z^2 + 12*a^2*z^2 - 
   2*a^4*z^2 - 7*a^6*z^2 + 4*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 
   14*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 7*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + 
   a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57038] -> -4 - a^(-6) + 5/a^4 - 3/a^2 + 4*a^2 - 
   18*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57039] -> 6 + a^(-4) - 4/a^2 - 2*a^2 + 10*z^2 + 
   (4*z^2)/a^4 - (13*z^2)/a^2 + 4*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - 
   (15*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57040] -> 
  -4/a^10 + 11/a^8 - 12/a^6 + 6/a^4 - (16*z^2)/a^10 + (55*z^2)/a^8 - 
   (58*z^2)/a^6 + (23*z^2)/a^4 - (17*z^4)/a^10 + (83*z^4)/a^8 - 
   (102*z^4)/a^6 + (34*z^4)/a^4 - (7*z^6)/a^10 + (55*z^6)/a^8 - 
   (88*z^6)/a^6 + (24*z^6)/a^4 - z^8/a^10 + (17*z^8)/a^8 - (41*z^8)/a^6 + 
   (8*z^8)/a^4 + (2*z^10)/a^8 - (10*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 57041] -> -4/a^10 + 10/a^8 - 8/a^6 + a^(-4) + 2/a^2 - 
   (8*z^2)/a^10 + (27*z^2)/a^8 - (18*z^2)/a^6 - (5*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (27*z^4)/a^8 - (21*z^4)/a^6 - (15*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (12*z^6)/a^8 - (15*z^6)/a^6 - (14*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (6*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57042] -> -2/a^12 + 3/a^10 + 3/a^8 - 9/a^6 + 6/a^4 - 
   (7*z^2)/a^12 + (19*z^2)/a^10 + z^2/a^8 - (27*z^2)/a^6 + (17*z^2)/a^4 - 
   (5*z^4)/a^12 + (27*z^4)/a^10 - (12*z^4)/a^8 - (35*z^4)/a^6 + 
   (17*z^4)/a^4 - z^6/a^12 + (13*z^6)/a^10 - (16*z^6)/a^8 - (24*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^8)/a^10 - (7*z^8)/a^8 - (8*z^8)/a^6 + z^8/a^4 - 
   z^10/a^8 - z^10/a^6, Knot[15, Alternating, 57043] -> 
  -2/a^12 + 3/a^10 + 2/a^8 - 5/a^6 + a^(-4) + 2/a^2 - (3*z^2)/a^12 + 
   (9*z^2)/a^10 + (4*z^2)/a^8 - (13*z^2)/a^6 + (5*z^2)/a^2 - z^4/a^12 + 
   (8*z^4)/a^10 - (17*z^4)/a^6 - (4*z^4)/a^4 + (4*z^4)/a^2 + (2*z^6)/a^10 - 
   (3*z^6)/a^8 - (10*z^6)/a^6 - (4*z^6)/a^4 + z^6/a^2 - z^8/a^8 - 
   (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 57044] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 10*z^2 - 37*a^2*z^2 + 50*a^4*z^2 - 
   17*a^6*z^2 + 21*z^4 - 69*a^2*z^4 + 72*a^4*z^4 - 17*a^6*z^4 + 18*z^6 - 
   64*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57045] -> -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (6*z^4)/a^2 - 
   10*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57046] -> 6 - a^(-6) + 7/a^4 - 11/a^2 + 
   17*z^2 - (10*z^2)/a^6 + (38*z^2)/a^4 - (49*z^2)/a^2 + 17*z^4 - 
   (21*z^4)/a^6 + (69*z^4)/a^4 - (72*z^4)/a^2 + 7*z^6 - (18*z^6)/a^6 + 
   (64*z^6)/a^4 - (49*z^6)/a^2 + z^8 - (7*z^8)/a^6 + (33*z^8)/a^4 - 
   (16*z^8)/a^2 - z^10/a^6 + (9*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57047] -> 1 - a^(-6) + 6/a^4 - 7/a^2 + 2*a^2 - 7*z^2 - 
   (6*z^2)/a^6 + (18*z^2)/a^4 - (15*z^2)/a^2 + 5*a^2*z^2 - 14*z^4 - 
   (9*z^4)/a^6 + (23*z^4)/a^4 - (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57048] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 44*z^2 - 
   (13*z^2)/a^2 - 49*a^2*z^2 + 16*a^4*z^2 + 78*z^4 - (24*z^4)/a^2 - 
   74*a^2*z^4 + 17*a^4*z^4 + 69*z^6 - (19*z^6)/a^2 - 50*a^2*z^6 + 7*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 57049] -> 
  -3*a^2 + 11*a^4 - 9*a^6 + 2*a^8 - 13*a^2*z^2 + 46*a^4*z^2 - 42*a^6*z^2 + 
   13*a^8*z^2 - 22*a^2*z^4 + 74*a^4*z^4 - 67*a^6*z^4 + 16*a^8*z^4 - 
   18*a^2*z^6 + 65*a^4*z^6 - 48*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 
   33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 57050] -> -1 + a^2 + 6*a^4 - 7*a^6 + 
   2*a^8 - 4*z^2 + 7*a^2*z^2 + 12*a^4*z^2 - 19*a^6*z^2 + 7*a^8*z^2 - 6*z^4 + 
   11*a^2*z^4 + 12*a^4*z^4 - 22*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 
   10*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57051] -> 
  2 - 2/a^6 + 5/a^4 - 4/a^2 + 7*z^2 - (2*z^2)/a^8 + (3*z^2)/a^6 + 
   (9*z^2)/a^4 - (16*z^2)/a^2 + 9*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 + 
   (3*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - 
   (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 57052] -> -3/a^10 + 7/a^8 - 7/a^6 + 
   4/a^4 - (12*z^2)/a^10 + (39*z^2)/a^8 - (38*z^2)/a^6 + (16*z^2)/a^4 - 
   (13*z^4)/a^10 + (62*z^4)/a^8 - (73*z^4)/a^6 + (25*z^4)/a^4 - 
   (6*z^6)/a^10 + (44*z^6)/a^8 - (68*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 57053] -> 
  2 - 10*a^2 + 17*a^4 - 8*a^6 + 13*z^2 - 47*a^2*z^2 + 61*a^4*z^2 - 
   20*a^6*z^2 + 24*z^4 - 79*a^2*z^4 + 80*a^4*z^4 - 18*a^6*z^4 + 19*z^6 - 
   69*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57054] -> -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 
   15*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 + 18*a^4*z^2 - 8*a^6*z^2 - 20*z^4 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57055] -> 
  8 - 2/a^2 - 6*a^2 - a^4 + 2*a^6 + 20*z^2 - (7*z^2)/a^2 - 11*a^2*z^2 - 
   12*a^4*z^2 + 7*a^6*z^2 + 22*z^4 - (9*z^4)/a^2 - 2*a^2*z^4 - 20*a^4*z^4 + 
   5*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 7*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57056] -> a^(-8) - 2/a^6 + 2/a^2 - 4*z^2 + 
   (2*z^2)/a^8 - (5*z^2)/a^6 - (2*z^2)/a^4 + (9*z^2)/a^2 - 4*z^4 + 
   (3*z^4)/a^8 - (6*z^4)/a^6 - (5*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (3*z^6)/a^8 - (6*z^6)/a^6 - (6*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (4*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57057] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 4*z^2 + 
   10*a^2*z^2 + 2*a^4*z^2 - 8*a^6*z^2 + 4*a^8*z^2 - 6*z^4 + 14*a^2*z^4 + 
   2*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 57058] -> 1 - 3/a^6 + 10/a^4 - 9/a^2 + 
   2*a^2 - 7*z^2 - (9*z^2)/a^6 + (26*z^2)/a^4 - (18*z^2)/a^2 + 5*a^2*z^2 - 
   14*z^4 - (10*z^4)/a^6 + (28*z^4)/a^4 - (9*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (17*z^6)/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57059] -> -4 - 3/a^6 + 9/a^4 - 5/a^2 + 4*a^2 - 
   18*z^2 - (11*z^2)/a^6 + (27*z^2)/a^4 - (10*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - 
   (13*z^4)/a^6 + (33*z^4)/a^4 - (2*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (6*z^6)/a^6 + (21*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (7*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57060] -> -2 + 11*a^4 - 10*a^6 + 2*a^8 - 5*z^2 - 
   z^2/a^2 + 4*a^2*z^2 + 26*a^4*z^2 - 20*a^6*z^2 + 3*a^8*z^2 - 3*z^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 + 25*a^4*z^4 - 15*a^6*z^4 + a^8*z^4 + z^6 - 
   z^6/a^2 + 10*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 + z^8 + 3*a^2*z^8 + 
   3*a^4*z^8, Knot[15, Alternating, 57061] -> 3 - a^(-8) + a^(-6) + 3/a^4 - 
   5/a^2 + 3*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 + (6*z^2)/a^4 - (14*z^2)/a^2 + 
   2*a^2*z^2 - z^4/a^8 + (7*z^4)/a^6 + z^4/a^4 - (17*z^4)/a^2 + 3*a^2*z^4 - 
   2*z^6 + (3*z^6)/a^6 - (4*z^6)/a^4 - (11*z^6)/a^2 + a^2*z^6 - z^8 - 
   (2*z^8)/a^4 - (3*z^8)/a^2, Knot[15, Alternating, 57062] -> 
  -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 2*a^6 - 18*z^2 - (3*z^2)/a^4 + 
   (11*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 57063] -> 
  13 - a^(-4) - 2/a^2 - 14*a^2 + 5*a^4 + 19*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   32*a^2*z^2 + 12*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 
   32*a^2*z^4 + 11*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 18*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57064] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (12*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (30*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 57065] -> -3/a^14 + 10/a^12 - 11/a^10 + 
   a^(-8) + 4/a^6 - (7*z^2)/a^14 + (28*z^2)/a^12 - (31*z^2)/a^10 + 
   (3*z^2)/a^8 + (12*z^2)/a^6 - (5*z^4)/a^14 + (33*z^4)/a^12 - 
   (41*z^4)/a^10 - z^4/a^8 + (13*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - 
   (32*z^6)/a^10 - (7*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 57066] -> -2/a^14 + 5/a^12 - 3/a^10 - 2/a^8 + a^(-6) + 
   2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - 
   (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 57067] -> 5 - 2/a^2 - 2*a^2 + 12*z^2 + 
   (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 5*a^2*z^2 + 15*z^4 + 
   (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57068] -> 
  -1 + 2/a^4 - 2/a^2 + 2*a^2 - 10*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 
   5*a^2*z^2 - 15*z^4 - (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 
   9*z^6 - (3*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - 
   z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57069] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 15*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 57070] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 6*z^2 - (2*z^2)/a^8 + (5*z^2)/a^6 - 
   (11*z^2)/a^4 + (18*z^2)/a^2 - (3*z^4)/a^8 + (10*z^4)/a^6 - (8*z^4)/a^4 + 
   (8*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - (3*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57071] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (11*z^2)/a^10 + (31*z^2)/a^8 - (25*z^2)/a^6 + (11*z^2)/a^4 - 
   (13*z^4)/a^10 + (57*z^4)/a^8 - (60*z^4)/a^6 + (21*z^4)/a^4 - 
   (6*z^6)/a^10 + (43*z^6)/a^8 - (62*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 57072] -> 
  -3/a^10 + 7/a^8 - 7/a^6 + 4/a^4 - (6*z^2)/a^10 + (19*z^2)/a^8 - 
   (14*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - (4*z^4)/a^10 + (20*z^4)/a^8 - 
   (15*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (10*z^6)/a^8 - 
   (11*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (5*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57073] -> 3 - 14*a^2 + 22*a^4 - 10*a^6 + 13*z^2 - 
   49*a^2*z^2 + 65*a^4*z^2 - 21*a^6*z^2 + 22*z^4 - 75*a^2*z^4 + 79*a^4*z^4 - 
   18*a^6*z^4 + 18*z^6 - 65*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   33*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57074] -> -3 + a^(-2) - a^2 + 10*a^4 - 
   6*a^6 - 8*z^2 + (4*z^2)/a^2 - 5*a^2*z^2 + 25*a^4*z^2 - 9*a^6*z^2 - 
   11*z^4 + (6*z^4)/a^2 - 10*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57075] -> 
  -9 + 2/a^2 + 12*a^2 - 2*a^4 - 2*a^6 - 23*z^2 + (7*z^2)/a^2 + 22*a^2*z^2 + 
   5*a^4*z^2 - 5*a^6*z^2 - 25*z^4 + (9*z^4)/a^2 + 12*a^2*z^4 + 13*a^4*z^4 - 
   4*a^6*z^4 - 16*z^6 + (5*z^6)/a^2 - 2*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57076] -> -4 - a^(-6) + 5/a^4 - 3/a^2 + 4*a^2 - 
   18*z^2 - (4*z^2)/a^6 + (11*z^2)/a^4 - (3*z^2)/a^2 + 8*a^2*z^2 - 22*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (5*z^4)/a^2 + 5*a^2*z^4 - 11*z^6 - 
   (4*z^6)/a^6 + (10*z^6)/a^4 + (9*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57077] -> 1 - (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 
   2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57078] -> 
  3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 - 4*z^2 + (7*z^2)/a^8 - (21*z^2)/a^6 + 
   (15*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + (7*z^4)/a^8 - (20*z^4)/a^6 + 
   (5*z^4)/a^4 + (13*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - 
   (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57079] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 18*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 12*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57080] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 16*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57081] -> -6 - 2/a^6 + 5/a^4 + 4*a^2 - 15*z^2 - 
   (7*z^2)/a^6 + (17*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - 
   (9*z^4)/a^6 + (23*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57082] -> -a^(-18) + 5/a^16 - 5/a^14 - 6/a^12 + 
   8/a^10 + (5*z^2)/a^16 - (18*z^2)/a^14 + (20*z^2)/a^10 + (4*z^2)/a^8 - 
   z^4/a^16 - (14*z^4)/a^14 + (17*z^4)/a^12 + (24*z^4)/a^10 + (8*z^4)/a^8 - 
   z^6/a^16 - z^6/a^14 + (16*z^6)/a^12 + (14*z^6)/a^10 + (5*z^6)/a^8 + 
   z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 57083] -> 5 - a^(-4) - 4*a^2 + a^4 + 11*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 17*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 57084] -> 
  -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - 
   (7*z^2)/a^4 + (2*z^2)/a^2 + 5*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - 
   (6*z^4)/a^4 - (8*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - 
   (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - 
   z^10/a^2, Knot[15, Alternating, 57085] -> -2 - 2/a^8 + 5/a^6 - 3/a^4 + 
   a^(-2) + 2*a^2 - 10*z^2 - z^2/a^8 + (10*z^2)/a^6 - (12*z^2)/a^4 + 
   (6*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + 
   (8*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (2*z^6)/a^6 - z^6/a^4 + (7*z^6)/a^2 + 
   a^2*z^6 - 2*z^8 - z^8/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 57086] -> -a^(-10) + 3/a^8 - a^(-6) - 
   4/a^4 + 4/a^2 + 2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - 
   (10*z^2)/a^4 + (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - 
   (9*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - 
   z^6/a^4 - (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57087] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 57088] -> -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 
   7*z^2 + (3*z^2)/a^2 + 12*a^4*z^2 - 5*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 - 
   6*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 7*z^6 + (3*z^6)/a^2 - 7*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57089] -> -a^(-18) + 6/a^16 - 9/a^14 - 
   a^(-12) + 6/a^10 + (6*z^2)/a^16 - (25*z^2)/a^14 + (9*z^2)/a^12 + 
   (20*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - (19*z^4)/a^14 + (26*z^4)/a^12 + 
   (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - (2*z^6)/a^14 + (21*z^6)/a^12 + 
   (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + (5*z^8)/a^12 + (4*z^8)/a^10 + 
   z^8/a^8, Knot[15, Alternating, 57090] -> -2 + 5*a^2 + a^4 - 5*a^6 + 
   2*a^8 - 5*z^2 + 13*a^2*z^2 + a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 
   15*a^2*z^4 + 2*a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 
   5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57091] -> 
  1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 2*z^2 - (2*z^2)/a^2 + 10*a^2*z^2 - 
   11*a^4*z^2 + 2*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 9*a^2*z^4 - 7*a^4*z^4 - 
   4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 6*a^2*z^6 - 2*a^6*z^6 + z^8 + 
   2*a^2*z^8 + a^4*z^8, Knot[15, Alternating, 57092] -> 
  -6 - 2/a^4 + 7/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 19*z^2 - (4*z^2)/a^4 + 
   (14*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 3*a^6*z^2 - 21*z^4 - 
   (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 11*a^4*z^4 + a^6*z^4 - 13*z^6 - 
   z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 57093] -> 
  7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 11*z^2 + (5*z^2)/a^4 - (16*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - (16*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57094] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 2*a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 57095] -> -2/a^12 + 4/a^10 - 2/a^8 - a^(-4) + 2/a^2 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (21*z^4)/a^8 + (12*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 57096] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 
   14*z^2 + (5*z^2)/a^2 + 10*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 17*z^4 + 
   (7*z^4)/a^2 + 2*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57097] -> 
  6 + a^(-4) - 4/a^2 - 2*a^2 + 10*z^2 + (4*z^2)/a^4 - (13*z^2)/a^2 + 
   4*a^2*z^2 - 4*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - (15*z^4)/a^2 + 13*a^2*z^4 - 
   4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57098] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 8*z^2 - 
   (4*z^2)/a^4 + (12*z^2)/a^2 - 5*a^2*z^2 + 4*a^4*z^2 - 3*z^4 - (6*z^4)/a^4 + 
   (15*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + 
   (11*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57099] -> 
  -2 + 6*a^2 - 3*a^4 - 4*z^2 + 12*a^2*z^2 - 2*a^4*z^2 - 7*a^6*z^2 + 
   4*a^8*z^2 - 4*z^4 + 10*a^2*z^4 + 3*a^4*z^4 - 14*a^6*z^4 + 4*a^8*z^4 - 
   3*z^6 + 7*a^2*z^6 + 6*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57100] -> 4 + a^(-4) - 4/a^2 + 2*a^4 - 2*a^6 + 6*z^2 + 
   (3*z^2)/a^4 - (8*z^2)/a^2 + 7*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - 
   (7*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - 
   (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 57101] -> -a^(-6) + 5/a^4 - 4/a^2 - a^2 + 2*a^4 - 
   z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   2*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 57102] -> 1 + 4*z^2 + z^2/a^6 - 
   (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 5*z^4 + (2*z^4)/a^6 - 
   (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - (2*z^6)/a^4 - 
   (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 57103] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 57104] -> -2 + a^(-8) - a^(-6) - 4/a^4 + 7/a^2 + 
   (2*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 2*a^2*z^2 + 
   4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 + (7*z^4)/a^2 - a^2*z^4 + 
   2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - z^8/a^6 - (2*z^8)/a^4 - 
   z^8/a^2, Knot[15, Alternating, 57105] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 
   2*a^2 - 19*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 57106] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 57107] -> -3/a^10 + 11/a^8 - 11/a^6 + 4/a^2 - 
   (8*z^2)/a^10 + (27*z^2)/a^8 - (22*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   (9*z^4)/a^10 + (27*z^4)/a^8 - (14*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (16*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57108] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + z^2 - 
   (6*z^2)/a^6 + (19*z^2)/a^4 - (17*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (7*z^4)/a^6 + (21*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (13*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57109] -> 
  -2/a^10 + 5/a^8 + 2/a^6 - 12/a^4 + 8/a^2 - (7*z^2)/a^10 + (16*z^2)/a^8 + 
   (3*z^2)/a^6 - (28*z^2)/a^4 + (12*z^2)/a^2 - (9*z^4)/a^10 + (21*z^4)/a^8 + 
   (5*z^4)/a^6 - (27*z^4)/a^4 + (6*z^4)/a^2 - (5*z^6)/a^10 + (15*z^6)/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57110] -> -2/a^8 + 7/a^6 - 9/a^4 + 5/a^2 - 2*z^2 + 
   z^2/a^10 - (3*z^2)/a^8 + (14*z^2)/a^6 - (24*z^2)/a^4 + (14*z^2)/a^2 - 
   3*z^4 - z^4/a^8 + (7*z^4)/a^6 - (24*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - z^6/a^6 - (11*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - 
   (3*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57111] -> 2/a^12 - 4/a^10 - 5/a^8 + 12/a^6 - 4/a^4 + 
   (5*z^2)/a^12 - (20*z^2)/a^10 + (5*z^2)/a^8 + (30*z^2)/a^6 - (12*z^2)/a^4 + 
   (4*z^4)/a^12 - (27*z^4)/a^10 + (26*z^4)/a^8 + (30*z^4)/a^6 - 
   (13*z^4)/a^4 + z^6/a^12 - (15*z^6)/a^10 + (27*z^6)/a^8 + (17*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^8)/a^10 + (12*z^8)/a^8 + (6*z^8)/a^6 - z^8/a^4 + 
   (2*z^10)/a^8 + z^10/a^6, Knot[15, Alternating, 57112] -> 
  -3 + a^(-2) + 3*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + (3*z^2)/a^2 + 12*a^4*z^2 - 
   5*a^6*z^2 - 8*z^4 + (4*z^4)/a^2 - 6*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 
   7*z^6 + (3*z^6)/a^2 - 7*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57113] -> 
  a^(-12) - 2/a^10 - 2/a^8 + 4/a^6 - (2*z^2)/a^14 + (6*z^2)/a^12 - 
   (6*z^2)/a^10 - (2*z^2)/a^8 + (7*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (9*z^4)/a^10 - (5*z^4)/a^8 + (4*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (9*z^6)/a^10 - (8*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 57114] -> 
  -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - (7*z^2)/a^10 + (19*z^2)/a^8 - 
   (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - (5*z^4)/a^10 + (29*z^4)/a^8 - 
   (23*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - z^6/a^10 + (16*z^6)/a^8 - 
   (26*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + (3*z^8)/a^8 - (12*z^8)/a^6 - 
   (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57115] -> -a^(-12) + 3/a^8 - 2/a^6 - a^(-4) + 2/a^2 - 
   (3*z^2)/a^12 + (7*z^2)/a^10 + (6*z^2)/a^8 - (10*z^2)/a^6 - z^2/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - z^4/a^8 - (18*z^4)/a^6 - 
   (2*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (6*z^6)/a^8 - (13*z^6)/a^6 - 
   (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - (3*z^8)/a^6 - z^8/a^4, 
 Knot[15, Alternating, 57116] -> -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (17*z^2)/a^8 - (11*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 
   (6*z^4)/a^10 + (17*z^4)/a^8 - (6*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (4*z^6)/a^10 + (11*z^6)/a^8 + (3*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (5*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57117] -> -3/a^8 + 6/a^6 - 4/a^4 + 2/a^2 - z^2/a^12 + 
   z^2/a^10 - (3*z^2)/a^8 + (14*z^2)/a^6 - (12*z^2)/a^4 + (5*z^2)/a^2 - 
   z^4/a^10 + (2*z^4)/a^8 + (12*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - 
   (3*z^6)/a^10 + (5*z^6)/a^8 + (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57118] -> 2 - 2/a^10 + 7/a^8 - 7/a^6 + 2/a^4 - 
   a^(-2) + 3*z^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - (13*z^2)/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (10*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57119] -> a^(-14) - 3/a^12 + 3/a^10 - 4/a^8 + 4/a^6 - 
   (3*z^2)/a^14 + (5*z^2)/a^12 - (8*z^2)/a^8 + (12*z^2)/a^6 - (4*z^4)/a^14 + 
   (19*z^4)/a^12 - (13*z^4)/a^10 - (9*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + 
   (14*z^6)/a^12 - (20*z^6)/a^10 - (9*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - 
   (11*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 57120] -> 2 - 2/a^10 + 6/a^8 - 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57121] -> 4 - 2/a^10 + 6/a^8 - 4/a^6 + a^(-4) - 
   4/a^2 + 4*z^2 - (5*z^2)/a^10 + (13*z^2)/a^8 - (8*z^2)/a^6 + z^2/a^4 - 
   (10*z^2)/a^2 + z^4 - (4*z^4)/a^10 + (11*z^4)/a^8 - (3*z^4)/a^6 + 
   (2*z^4)/a^4 - (8*z^4)/a^2 - z^6/a^10 + (5*z^6)/a^8 + (2*z^6)/a^6 + 
   (3*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57122] -> -7 - 4/a^4 + 10/a^2 + 2*a^2 - 10*z^2 + 
   z^2/a^6 - (6*z^2)/a^4 + (15*z^2)/a^2 + 2*a^2*z^2 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 + (8*z^4)/a^2 - 2*a^2*z^4 + 6*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   (4*z^6)/a^2 - 3*a^2*z^6 + 4*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 57123] -> 
  -a^(-8) + 2/a^4 + (3*z^2)/a^8 - (10*z^2)/a^6 + (15*z^2)/a^4 - (4*z^2)/a^2 + 
   (8*z^4)/a^8 - (31*z^4)/a^6 + (37*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - 
   (31*z^6)/a^6 + (43*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 57124] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 
   8*z^2 + (3*z^2)/a^2 + 7*a^2*z^2 + 10*z^4 - (3*z^4)/a^2 - 17*a^2*z^4 + 
   7*a^4*z^4 + 24*z^6 - (8*z^6)/a^2 - 25*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - 
   (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + 
   z^12, Knot[15, Alternating, 57125] -> -3/a^10 + 11/a^8 - 11/a^6 + 4/a^2 - 
   (8*z^2)/a^10 + (27*z^2)/a^8 - (22*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   (9*z^4)/a^10 + (27*z^4)/a^8 - (14*z^4)/a^6 - (16*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (16*z^6)/a^8 + z^6/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57126] -> 4 - 2/a^6 + 7/a^4 - 8/a^2 + z^2 - 
   (6*z^2)/a^6 + (19*z^2)/a^4 - (17*z^2)/a^2 + 2*a^2*z^2 - 7*z^4 - 
   (7*z^4)/a^6 + (21*z^4)/a^4 - (11*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (13*z^6)/a^4 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57127] -> 
  23 + 6/a^4 - 20/a^2 - 8*a^2 + 69*z^2 + (21*z^2)/a^4 - (68*z^2)/a^2 - 
   20*a^2*z^2 + 85*z^4 + (29*z^4)/a^4 - (97*z^4)/a^2 - 18*a^2*z^4 + 52*z^6 + 
   (20*z^6)/a^4 - (76*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (35*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57128] -> 1 - 2*a^2 + 4*a^4 - 2*a^6 + 8*z^2 - 
   25*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 + 16*z^4 - 52*a^2*z^4 + 49*a^4*z^4 - 
   12*a^6*z^4 + 14*z^6 - 50*a^2*z^6 + 38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57129] -> 4/a^12 - 14/a^10 + 13/a^8 - 
   2/a^6 + (10*z^2)/a^12 - (45*z^2)/a^10 + (54*z^2)/a^8 - (11*z^2)/a^6 + 
   (12*z^4)/a^12 - (61*z^4)/a^10 + (86*z^4)/a^8 - (21*z^4)/a^6 + 
   (6*z^6)/a^12 - (43*z^6)/a^10 + (71*z^6)/a^8 - (18*z^6)/a^6 + z^8/a^12 - 
   (15*z^8)/a^10 + (34*z^8)/a^8 - (7*z^8)/a^6 - (2*z^10)/a^10 + 
   (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, Knot[15, Alternating, 57130] -> 
  a^(-12) - 2/a^10 - 4/a^8 + 8/a^6 - 2/a^4 + (4*z^2)/a^12 - (12*z^2)/a^10 - 
   z^2/a^8 + (23*z^2)/a^6 - (7*z^2)/a^4 + (4*z^4)/a^12 - (17*z^4)/a^10 + 
   (7*z^4)/a^8 + (26*z^4)/a^6 - (9*z^4)/a^4 + z^6/a^12 - (10*z^6)/a^10 + 
   (9*z^6)/a^8 + (16*z^6)/a^6 - (5*z^6)/a^4 - (2*z^8)/a^10 + (5*z^8)/a^8 + 
   (6*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57131] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 16*z^2 - 
   (3*z^2)/a^6 + (6*z^2)/a^4 + (2*z^2)/a^2 + 6*a^2*z^2 - 17*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57132] -> -2 + 11*a^4 - 10*a^6 + 2*a^8 - 5*z^2 - 
   z^2/a^2 + 4*a^2*z^2 + 26*a^4*z^2 - 20*a^6*z^2 + 3*a^8*z^2 - 3*z^4 - 
   (2*z^4)/a^2 + 11*a^2*z^4 + 25*a^4*z^4 - 15*a^6*z^4 + a^8*z^4 + z^6 - 
   z^6/a^2 + 10*a^2*z^6 + 13*a^4*z^6 - 4*a^6*z^6 + z^8 + 3*a^2*z^8 + 
   3*a^4*z^8, Knot[15, Alternating, 57133] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   12*z^2 - (2*z^2)/a^4 + z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 8*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57134] -> 
  4 - 5/a^6 + 13/a^4 - 11/a^2 + 16*z^2 - (12*z^2)/a^6 + (45*z^2)/a^4 - 
   (47*z^2)/a^2 + 25*z^4 - (13*z^4)/a^6 + (63*z^4)/a^4 - (79*z^4)/a^2 + 
   19*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57135] -> 2 - 3/a^8 + 7/a^6 - 4/a^4 - 
   a^(-2) + 7*z^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - (9*z^2)/a^4 - (10*z^2)/a^2 + 
   9*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - (12*z^4)/a^4 - (19*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (10*z^6)/a^6 - (10*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (5*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57136] -> 5 - 18*a^2 + 24*a^4 - 10*a^6 + 20*z^2 - 
   65*a^2*z^2 + 72*a^4*z^2 - 21*a^6*z^2 + 29*z^4 - 96*a^2*z^4 + 86*a^4*z^4 - 
   18*a^6*z^4 + 20*z^6 - 76*a^2*z^6 + 52*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   35*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57137] -> -4 + 2/a^2 - 2*a^2 + 11*a^4 - 
   6*a^6 - 15*z^2 + (8*z^2)/a^2 - 6*a^2*z^2 + 27*a^4*z^2 - 9*a^6*z^2 - 
   22*z^4 + (10*z^4)/a^2 - 10*a^2*z^4 + 25*a^4*z^4 - 5*a^6*z^4 - 16*z^6 + 
   (5*z^6)/a^2 - 10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57138] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 37*z^2 + (9*z^2)/a^4 - (32*z^2)/a^2 - 
   12*a^2*z^2 + 54*z^4 + (16*z^4)/a^4 - (54*z^4)/a^2 - 13*a^2*z^4 + 39*z^6 + 
   (14*z^6)/a^4 - (50*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57139] -> 1 + 20*z^2 - (6*z^2)/a^2 - 22*a^2*z^2 + 
   8*a^4*z^2 + 48*z^4 - (15*z^4)/a^2 - 47*a^2*z^4 + 12*a^4*z^4 + 49*z^6 - 
   (14*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 27*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57140] -> 5 - a^(-4) - 4*a^2 + a^4 + 11*z^2 - 
   (3*z^2)/a^4 + (3*z^2)/a^2 - 13*a^2*z^2 + 4*a^4*z^2 + 9*z^4 - (3*z^4)/a^4 + 
   (8*z^4)/a^2 - 17*a^2*z^4 + 6*a^4*z^4 - z^6/a^4 + (7*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 57141] -> 
  -a^(-8) + 2/a^4 - (4*z^2)/a^10 + (11*z^2)/a^8 - (10*z^2)/a^6 + 
   (7*z^2)/a^4 - (8*z^4)/a^10 + (32*z^4)/a^8 - (35*z^4)/a^6 + (13*z^4)/a^4 - 
   (5*z^6)/a^10 + (31*z^6)/a^8 - (43*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + 
   (13*z^8)/a^8 - (26*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 57142] -> 
  -2/a^14 + 8/a^12 - 8/a^10 - 3/a^8 + 6/a^6 - (3*z^2)/a^14 + (17*z^2)/a^12 - 
   (17*z^2)/a^10 - (11*z^2)/a^8 + (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (14*z^4)/a^12 - (17*z^4)/a^10 - (19*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (11*z^6)/a^10 - (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - 
   (4*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 57143] -> 
  3 - 10*a^2 + 14*a^4 - 6*a^6 + 11*z^2 - 37*a^2*z^2 + 43*a^4*z^2 - 
   13*a^6*z^2 + 17*z^4 - 58*a^2*z^4 + 56*a^4*z^4 - 13*a^6*z^4 + 14*z^6 - 
   51*a^2*z^6 + 39*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 27*a^2*z^8 + 14*a^4*z^8 - 
   a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57144] -> 13 + 4/a^4 - 12/a^2 - 4*a^2 + 40*z^2 + 
   (12*z^2)/a^4 - (40*z^2)/a^2 - 12*a^2*z^2 + 55*z^4 + (17*z^4)/a^4 - 
   (59*z^4)/a^2 - 13*a^2*z^4 + 39*z^6 + (14*z^6)/a^4 - (51*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57145] -> 
  2 + a^(-8) - 3/a^6 + 4/a^4 - 3/a^2 - z^2 + (4*z^2)/a^8 - (12*z^2)/a^6 + 
   (10*z^2)/a^4 - (2*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (17*z^4)/a^6 + 
   (8*z^4)/a^4 + (6*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + 
   (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57146] -> 
  a^(-14) - 4/a^12 + 5/a^10 - 3/a^8 + 2/a^4 - (5*z^2)/a^12 + (15*z^2)/a^10 - 
   (15*z^2)/a^8 + (7*z^2)/a^6 + (3*z^2)/a^4 + z^4/a^12 + (9*z^4)/a^10 - 
   (20*z^4)/a^8 + (12*z^4)/a^6 - z^4/a^4 + z^6/a^12 - (3*z^6)/a^10 - 
   (9*z^6)/a^8 + (8*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + z^8/a^8 + 
   (4*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57147] -> 2 - 2/a^10 + 6/a^8 - 3/a^6 - 3/a^4 + 
   a^(-2) + 3*z^2 - (4*z^2)/a^10 + (11*z^2)/a^8 - (3*z^2)/a^6 - (9*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (7*z^4)/a^8 + (2*z^4)/a^6 - 
   (7*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (5*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57148] -> 3/a^4 - 6/a^2 + 8*a^2 - 4*a^4 - z^2 + 
   (9*z^2)/a^4 - (20*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 6*z^4 + 
   (10*z^4)/a^4 - (24*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (16*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57149] -> 
  1 - 2*a^2 + 4*a^4 - 2*a^6 - 5*z^2 + (3*z^2)/a^2 - 4*a^2*z^2 + 13*a^4*z^2 - 
   5*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 16*a^4*z^4 - 4*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57150] -> 
  a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + (9*z^2)/a^8 - (37*z^2)/a^6 + 
   (50*z^2)/a^4 - (17*z^2)/a^2 + (12*z^4)/a^8 - (61*z^4)/a^6 + (86*z^4)/a^4 - 
   (28*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (74*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 57151] -> 
  -a^(-8) + 2/a^4 + (3*z^2)/a^8 - (10*z^2)/a^6 + (15*z^2)/a^4 - (4*z^2)/a^2 + 
   (8*z^4)/a^8 - (31*z^4)/a^6 + (37*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - 
   (31*z^6)/a^6 + (43*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 57152] -> -a^(-8) + 2/a^4 + (4*z^2)/a^10 - 
   (11*z^2)/a^8 + (6*z^2)/a^6 + (9*z^2)/a^4 - (4*z^2)/a^2 + (4*z^4)/a^10 - 
   (19*z^4)/a^8 + (13*z^4)/a^6 + (14*z^4)/a^4 - (8*z^4)/a^2 + z^6/a^10 - 
   (11*z^6)/a^8 + (13*z^6)/a^6 + (13*z^6)/a^4 - (5*z^6)/a^2 - (2*z^8)/a^8 + 
   (6*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 57153] -> 1 - (2*z^2)/a^2 + 6*a^2*z^2 - 4*a^4*z^2 - 
   2*z^4 + (2*z^4)/a^4 - (3*z^4)/a^2 + 13*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (3*z^6)/a^4 - (5*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (4*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57154] -> 
  -2 + 7*a^2 - 7*a^4 + 5*a^6 - 2*a^8 - 5*z^2 + 18*a^2*z^2 - 15*a^4*z^2 + 
   5*a^6*z^2 + a^8*z^2 - 6*z^4 + 19*a^2*z^4 - 12*a^4*z^4 - 5*a^6*z^4 + 
   3*a^8*z^4 - 4*z^6 + 12*a^2*z^6 - a^4*z^6 - 7*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 3*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57155] -> 3/a^8 - 10/a^6 + 10/a^4 - 2/a^2 - 4*z^2 + 
   (7*z^2)/a^8 - (21*z^2)/a^6 + (15*z^2)/a^4 + (5*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (20*z^4)/a^6 + (5*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57156] -> 3 - 3/a^6 + 8/a^4 - 7/a^2 + 16*z^2 - 
   (9*z^2)/a^6 + (37*z^2)/a^4 - (43*z^2)/a^2 + 27*z^4 - (10*z^4)/a^6 + 
   (56*z^4)/a^4 - (80*z^4)/a^2 + 20*z^6 - (5*z^6)/a^6 + (40*z^6)/a^4 - 
   (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (14*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57157] -> 
  3 - a^(-8) + a^(-6) + 3/a^4 - 5/a^2 + 9*z^2 - (3*z^2)/a^8 + (10*z^2)/a^6 + 
   z^2/a^4 - (17*z^2)/a^2 + 10*z^4 - (3*z^4)/a^8 + (15*z^4)/a^6 - 
   (8*z^4)/a^4 - (23*z^4)/a^2 + 5*z^6 - z^6/a^8 + (9*z^6)/a^6 - 
   (10*z^6)/a^4 - (16*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 57158] -> 
  13 - a^(-4) - 2/a^2 - 14*a^2 + 5*a^4 + 19*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 
   32*a^2*z^2 + 12*a^4*z^2 + 7*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 
   32*a^2*z^4 + 11*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 18*a^2*z^6 + 
   5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57159] -> 2 - 4/a^6 + 9/a^4 - 6/a^2 + 15*z^2 - 
   (12*z^2)/a^6 + (43*z^2)/a^4 - (43*z^2)/a^2 + 27*z^4 - (13*z^4)/a^6 + 
   (65*z^4)/a^4 - (82*z^4)/a^2 + 20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - 
   (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57160] -> 
  2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 + (11*z^2)/a^8 - (38*z^2)/a^6 + 
   (43*z^2)/a^4 - (13*z^2)/a^2 + (13*z^4)/a^8 - (61*z^4)/a^6 + (75*z^4)/a^4 - 
   (24*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + (68*z^6)/a^4 - (19*z^6)/a^2 + 
   z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 57161] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (4*z^2)/a^10 - (6*z^2)/a^8 - (6*z^2)/a^6 + 
   (14*z^2)/a^4 - (4*z^2)/a^2 + (4*z^4)/a^10 - (15*z^4)/a^8 + (18*z^4)/a^4 - 
   (8*z^4)/a^2 + z^6/a^10 - (10*z^6)/a^8 + (7*z^6)/a^6 + (14*z^6)/a^4 - 
   (5*z^6)/a^2 - (2*z^8)/a^8 + (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + 
   z^10/a^6 + z^10/a^4, Knot[15, Alternating, 57162] -> 
  2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 7*z^2 - (5*z^2)/a^8 + (16*z^2)/a^6 - 
   (5*z^2)/a^4 - (11*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (21*z^4)/a^6 - 
   (15*z^4)/a^4 - (17*z^4)/a^2 + 5*z^6 - z^6/a^8 + (11*z^6)/a^6 - 
   (14*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (6*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 57163] -> 
  5 - 2/a^2 - 2*a^2 + 12*z^2 + (2*z^2)/a^6 - (4*z^2)/a^4 - (3*z^2)/a^2 - 
   5*a^2*z^2 + 15*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 + z^4/a^2 - 6*a^2*z^4 + 
   11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (5*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57164] -> 2/a^8 - 6/a^6 + 5/a^4 - 2*z^2 + 
   (5*z^2)/a^8 - (15*z^2)/a^6 + (11*z^2)/a^4 + (2*z^2)/a^2 - 3*z^4 + 
   (6*z^4)/a^8 - (18*z^4)/a^6 + (8*z^4)/a^4 + (7*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57165] -> 13 - 3/a^2 - 15*a^2 + 6*a^4 + 50*z^2 - 
   (14*z^2)/a^2 - 58*a^2*z^2 + 19*a^4*z^2 + 80*z^4 - (24*z^4)/a^2 - 
   79*a^2*z^4 + 18*a^4*z^4 + 69*z^6 - (19*z^6)/a^2 - 51*a^2*z^6 + 7*a^4*z^6 + 
   34*z^8 - (7*z^8)/a^2 - 16*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 57166] -> 
  -1 - 2/a^4 + 6/a^2 - 6*a^2 + 4*a^4 - 3*z^2 - (7*z^2)/a^4 + (17*z^2)/a^2 - 
   19*a^2*z^2 + 8*a^4*z^2 + 3*z^4 - (9*z^4)/a^4 + (21*z^4)/a^2 - 22*a^2*z^4 + 
   5*a^4*z^4 + 8*z^6 - (5*z^6)/a^4 + (15*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 
   5*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57167] -> -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 6*z^2 + 
   14*a^2*z^2 + 2*a^4*z^2 - 13*a^6*z^2 + 5*a^8*z^2 - 7*z^4 + 17*a^2*z^4 + 
   4*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 12*a^2*z^6 + 6*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 57168] -> -a^(-12) + 3/a^10 - 5/a^8 + 
   7/a^6 - 7/a^4 + 4/a^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - 
   (19*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 + (15*z^4)/a^6 - 
   (24*z^4)/a^4 + (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - 
   (14*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57169] -> 
  5 - 4/a^6 + 12/a^4 - 12/a^2 + 19*z^2 - (7*z^2)/a^6 + (37*z^2)/a^4 - 
   (49*z^2)/a^2 + 28*z^4 - (7*z^4)/a^6 + (49*z^4)/a^4 - (82*z^4)/a^2 + 
   20*z^6 - (4*z^6)/a^6 + (35*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57170] -> -2/a^10 + 3/a^8 - 2/a^6 + 
   2/a^4 - (7*z^2)/a^10 + (19*z^2)/a^8 - (13*z^2)/a^6 + (7*z^2)/a^4 - 
   (9*z^4)/a^10 + (37*z^4)/a^8 - (36*z^4)/a^6 + (13*z^4)/a^4 - (5*z^6)/a^10 + 
   (32*z^6)/a^8 - (43*z^6)/a^6 + (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - 
   (26*z^8)/a^6 + (6*z^8)/a^4 + (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 57171] -> -3/a^6 + 5/a^4 - a^(-2) + 
   4*z^2 - (7*z^2)/a^6 + (21*z^2)/a^4 - (14*z^2)/a^2 + 12*z^4 - (9*z^4)/a^6 + 
   (37*z^4)/a^4 - (37*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - 
   (43*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57172] -> 
  a^(-8) - 4/a^6 + 4/a^4 + (6*z^2)/a^8 - (18*z^2)/a^6 + (18*z^2)/a^4 - 
   (4*z^2)/a^2 + (9*z^4)/a^8 - (36*z^4)/a^6 + (38*z^4)/a^4 - (12*z^4)/a^2 + 
   (5*z^6)/a^8 - (32*z^6)/a^6 + (43*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - 
   (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - 
   z^10/a^2 + z^12/a^4, Knot[15, Alternating, 57173] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 6*z^2 - 25*a^2*z^2 + 38*a^4*z^2 - 13*a^6*z^2 + 
   13*z^4 - 45*a^2*z^4 + 52*a^4*z^4 - 13*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 
   38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57174] -> 
  -5 + a^(-2) + 7*a^2 - 2*a^6 - 13*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 15*z^4 + (6*z^4)/a^2 + 4*a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57175] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 52*z^2 + 
   (12*z^2)/a^4 - (44*z^2)/a^2 - 16*a^2*z^2 + 61*z^4 + (17*z^4)/a^4 - 
   (60*z^4)/a^2 - 14*a^2*z^4 + 40*z^6 + (14*z^6)/a^4 - (51*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57176] -> 
  9 - 2/a^2 - 10*a^2 + 4*a^4 + 28*z^2 - (7*z^2)/a^2 - 35*a^2*z^2 + 
   12*a^4*z^2 + 46*z^4 - (13*z^4)/a^2 - 51*a^2*z^4 + 13*a^4*z^4 + 45*z^6 - 
   (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57177] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 9*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 3*z^4 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + 
   (11*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57178] -> 
  12 - 3/a^2 - 11*a^2 + a^4 + 2*a^6 + 25*z^2 - (8*z^2)/a^2 - 18*a^2*z^2 - 
   10*a^4*z^2 + 7*a^6*z^2 + 24*z^4 - (9*z^4)/a^2 - 6*a^2*z^4 - 19*a^4*z^4 + 
   5*a^6*z^4 + 15*z^6 - (5*z^6)/a^2 + 6*a^2*z^6 - 11*a^4*z^6 + a^6*z^6 + 
   6*z^8 - z^8/a^2 + 5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57179] -> -1 + a^2 + 6*a^4 - 7*a^6 + 2*a^8 - 2*z^2 + 
   3*a^2*z^2 + 12*a^4*z^2 - 15*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 5*a^2*z^4 + 
   10*a^4*z^4 - 16*a^6*z^4 + 4*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 7*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 57180] -> -2 - 2/a^4 + 6/a^2 - 2*a^2 - 
   a^4 + 2*a^6 - z^2 - (4*z^2)/a^4 + (9*z^2)/a^2 - 7*a^2*z^2 - 5*a^4*z^2 + 
   3*a^6*z^2 + 5*z^4 - (3*z^4)/a^4 + (6*z^4)/a^2 - 4*a^2*z^4 - 6*a^4*z^4 + 
   a^6*z^4 + 6*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + 
   z^8/a^2 + a^2*z^8, Knot[15, Alternating, 57181] -> 
  -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 10*z^2 - (6*z^2)/a^6 + (16*z^2)/a^4 - 
   (7*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - (7*z^4)/a^6 + (18*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (12*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57182] -> -6 - 2/a^6 + 5/a^4 + 4*a^2 - 15*z^2 - 
   (7*z^2)/a^6 + (17*z^2)/a^4 - (4*z^2)/a^2 + 6*a^2*z^2 - 16*z^4 - 
   (9*z^4)/a^6 + (23*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57183] -> -1 + 2/a^4 - 3/a^2 + 5*a^2 - 2*a^4 + z^2 + 
   (7*z^2)/a^4 - (16*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 + z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (5*z^6)/a^4 - 
   (16*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57184] -> 
  -2 + 3/a^8 - 5/a^6 - 2/a^4 + 7/a^2 - 5*z^2 + (8*z^2)/a^8 - (18*z^2)/a^6 + 
   (14*z^2)/a^2 - 4*z^4 + (9*z^4)/a^8 - (24*z^4)/a^6 + (15*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (4*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57185] -> 2 - 2/a^10 + 7/a^8 - 7/a^6 + 2/a^4 - 
   a^(-2) + 3*z^2 - (4*z^2)/a^10 + (14*z^2)/a^8 - (13*z^2)/a^6 + 
   (2*z^2)/a^4 - (5*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (10*z^4)/a^8 - 
   (8*z^4)/a^6 + z^4/a^4 - (6*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + 
   (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57186] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 7*z^2 - 
   (2*z^2)/a^2 - 6*a^2*z^2 + 6*a^4*z^2 - 4*a^6*z^2 + 2*a^8*z^2 + 6*z^4 - 
   (2*z^4)/a^2 - 5*a^2*z^4 + 3*a^4*z^4 - 5*a^6*z^4 + a^8*z^4 + 3*z^6 - 
   z^6/a^2 + 2*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 57187] -> -a^(-4) + 3/a^2 - 3*a^2 + 2*a^4 + z^2 - 
   (2*z^2)/a^4 + (5*z^2)/a^2 - 8*a^2*z^2 + 2*a^6*z^2 + 4*z^4 - (2*z^4)/a^4 + 
   (3*z^4)/a^2 - 6*a^2*z^4 - 4*a^4*z^4 + a^6*z^4 + 5*z^6 - z^6/a^4 + 
   (2*z^6)/a^2 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 57188] -> -6 + a^(-6) - 5/a^4 + 9/a^2 + 2*a^2 - 
   19*z^2 + (2*z^2)/a^6 - (12*z^2)/a^4 + (23*z^2)/a^2 + 8*a^2*z^2 - 
   2*a^4*z^2 - 21*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + (26*z^4)/a^2 + 
   9*a^2*z^4 - a^4*z^4 - 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 57189] -> -a^(-6) + 5/a^4 - 4/a^2 - a^2 + 2*a^4 - 
   z^2 - (3*z^2)/a^6 + (8*z^2)/a^4 - (7*z^2)/a^2 - 7*a^2*z^2 + 3*a^4*z^2 + 
   2*z^4 - (3*z^4)/a^6 + (7*z^4)/a^4 - (2*z^4)/a^2 - 7*a^2*z^4 + a^4*z^4 + 
   3*z^6 - z^6/a^6 + (4*z^6)/a^4 + (2*z^6)/a^2 - 2*a^2*z^6 + z^8 + z^8/a^4 + 
   z^8/a^2, Knot[15, Alternating, 57190] -> -2 + a^(-8) - a^(-6) - 4/a^4 + 
   7/a^2 + (2*z^2)/a^8 - (2*z^2)/a^6 - (9*z^2)/a^4 + (12*z^2)/a^2 - 
   2*a^2*z^2 + 4*z^4 + (2*z^4)/a^8 - (2*z^4)/a^6 - (9*z^4)/a^4 + 
   (7*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (2*z^6)/a^6 - (6*z^6)/a^4 - 
   z^8/a^6 - (2*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 57191] -> 
  1 + 4*z^2 + z^2/a^6 - (2*z^2)/a^4 - (2*z^2)/a^2 + a^2*z^2 - 2*a^4*z^2 + 
   5*z^4 + (2*z^4)/a^6 - (2*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + 
   z^6/a^6 - (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 57192] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + (2*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - 5*a^2*z^2 + 14*z^4 + (3*z^4)/a^6 - (11*z^4)/a^4 + 
   (6*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (8*z^6)/a^4 + (6*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57193] -> 4 - a^(-4) + 2/a^2 - 8*a^2 + 4*a^4 + 6*z^2 - 
   (6*z^2)/a^4 + (11*z^2)/a^2 - 22*a^2*z^2 + 8*a^4*z^2 + 8*z^4 - 
   (9*z^4)/a^4 + (19*z^4)/a^2 - 23*a^2*z^4 + 5*a^4*z^4 + 9*z^6 - 
   (5*z^6)/a^4 + (15*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 5*z^8 - z^8/a^4 + 
   (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57194] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 17*z^2 + (2*z^2)/a^6 - (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 7*a^2*z^2 + 23*z^4 + (3*z^4)/a^6 - (10*z^4)/a^4 - 
   (3*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (4*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57195] -> -3/a^10 + 6/a^8 - 3/a^6 - a^(-4) + 2/a^2 - 
   (6*z^2)/a^10 + (18*z^2)/a^8 - (6*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (10*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57196] -> -5 + a^(-6) - 4/a^4 + 6/a^2 + 5*a^2 - 
   2*a^4 - 18*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 57197] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 - 6*z^2 + 
   (4*z^2)/a^2 - 9*a^2*z^2 + 26*a^4*z^2 - 9*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 
   9*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57198] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 
   11*z^2 + (2*z^2)/a^4 + 13*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 57199] -> 3 - a^(-4) + 2/a^2 - 4*a^2 - a^4 + 2*a^6 + 
   6*z^2 - (3*z^2)/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 - 5*a^4*z^2 + 3*a^6*z^2 + 
   9*z^4 - (3*z^4)/a^4 + (4*z^4)/a^2 - 5*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 
   7*z^6 - z^6/a^4 + (3*z^6)/a^2 + a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + 
   a^2*z^8, Knot[15, Alternating, 57200] -> 2 + a^(-8) - 3/a^6 + 4/a^4 - 
   3/a^2 + 4*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (7*z^2)/a^4 - (5*z^2)/a^2 - 
   2*a^2*z^2 + 5*z^4 + (2*z^4)/a^8 - (6*z^4)/a^6 + (5*z^4)/a^4 - 
   (3*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - (3*z^6)/a^6 - (2*z^6)/a^2 - 
   z^8/a^6 - z^8/a^4 - z^8/a^2, Knot[15, Alternating, 57201] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 23*z^2 - (2*z^2)/a^4 + (12*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 + 2*a^6*z^2 - 26*z^4 - (2*z^4)/a^4 + (12*z^4)/a^2 + 
   21*a^2*z^4 - 9*a^4*z^4 + a^6*z^4 - 15*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   12*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 57202] -> -2 + 6*a^2 - 3*a^4 - z^2 - z^2/a^2 + 
   11*a^2*z^2 - 7*a^4*z^2 - a^6*z^2 + 2*a^8*z^2 + z^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 6*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 57203] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 5*z^2 + 
   (3*z^2)/a^8 - z^2/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57204] -> 1 - a^(-8) + a^(-6) + 5/a^4 - 7/a^2 + 
   2*a^2 - 4*z^2 - (3*z^2)/a^8 + (2*z^2)/a^6 + (12*z^2)/a^4 - (14*z^2)/a^2 + 
   3*a^2*z^2 - 6*z^4 - (3*z^4)/a^8 + (3*z^4)/a^6 + (13*z^4)/a^4 - 
   (7*z^4)/a^2 + a^2*z^4 - 2*z^6 - z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + 
   z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 57205] -> 
  -4 - a^(-8) + a^(-6) + 4/a^4 - 3/a^2 + 4*a^2 - 10*z^2 - (4*z^2)/a^8 + 
   (3*z^2)/a^6 + (11*z^2)/a^4 - (9*z^2)/a^2 + 4*a^2*z^2 - 8*z^4 - 
   (4*z^4)/a^8 + (5*z^4)/a^6 + (14*z^4)/a^4 - (4*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (4*z^6)/a^6 + (9*z^6)/a^4 + (2*z^6)/a^2 + z^8/a^6 + 
   (2*z^8)/a^4 + z^8/a^2, Knot[15, Alternating, 57206] -> 
  -a^(-12) + 5/a^10 - 9/a^8 + 7/a^6 - 3/a^4 + 2/a^2 + (5*z^2)/a^10 - 
   (16*z^2)/a^8 + (20*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^10 - 
   (6*z^4)/a^8 + (18*z^4)/a^6 - (20*z^4)/a^4 + (6*z^4)/a^2 - z^6/a^10 + 
   (4*z^6)/a^8 + (5*z^6)/a^6 - (13*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - 
   (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57207] -> -1 - 5*a^2 + 20*a^4 - 17*a^6 + 4*a^8 - 
   4*z^2 - 12*a^2*z^2 + 57*a^4*z^2 - 42*a^6*z^2 + 8*a^8*z^2 - 6*z^4 - 
   7*a^2*z^4 + 67*a^4*z^4 - 41*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 3*a^2*z^6 + 
   42*a^4*z^6 - 18*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 14*a^4*z^8 - 
   3*a^6*z^8 + a^2*z^10 + 2*a^4*z^10, Knot[15, Alternating, 57208] -> 
  6 - 22*a^2 + 29*a^4 - 12*a^6 + 25*z^2 - 83*a^2*z^2 + 93*a^4*z^2 - 
   28*a^6*z^2 + 37*z^4 - 122*a^2*z^4 + 111*a^4*z^4 - 23*a^6*z^4 + 25*z^6 - 
   95*a^2*z^6 + 64*a^4*z^6 - 8*a^6*z^6 + 8*z^8 - 42*a^2*z^8 + 18*a^4*z^8 - 
   a^6*z^8 + z^10 - 10*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57209] -> a^(-2) - 9*a^2 + 17*a^4 - 8*a^6 - 7*z^2 + 
   (6*z^2)/a^2 - 19*a^2*z^2 + 38*a^4*z^2 - 12*a^6*z^2 - 15*z^4 + 
   (9*z^4)/a^2 - 21*a^2*z^4 + 33*a^4*z^4 - 6*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 13*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57210] -> 
  -3 + 2/a^2 - 6*a^2 + 16*a^4 - 8*a^6 - 16*z^2 + (9*z^2)/a^2 - 11*a^2*z^2 + 
   36*a^4*z^2 - 12*a^6*z^2 - 25*z^4 + (12*z^4)/a^2 - 14*a^2*z^4 + 
   32*a^4*z^4 - 6*a^6*z^4 - 19*z^6 + (6*z^6)/a^2 - 13*a^2*z^6 + 13*a^4*z^6 - 
   a^6*z^6 - 7*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57211] -> -9 + 3/a^2 + 7*a^2 + 4*a^4 - 4*a^6 - 
   17*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 11*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 
   16*z^4 + (3*z^4)/a^4 - z^4/a^2 + 4*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 9*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - 2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 57212] -> 5 - 18*a^2 + 24*a^4 - 10*a^6 + 18*z^2 - 
   61*a^2*z^2 + 70*a^4*z^2 - 21*a^6*z^2 + 26*z^4 - 88*a^2*z^4 + 83*a^4*z^4 - 
   18*a^6*z^4 + 19*z^6 - 71*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   34*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57213] -> -1 + a^(-2) - 5*a^2 + 12*a^4 - 
   6*a^6 - 5*z^2 + (4*z^2)/a^2 - 13*a^2*z^2 + 28*a^4*z^2 - 9*a^6*z^2 - 
   10*z^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 25*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + 
   (4*z^6)/a^2 - 11*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57214] -> 
  -3 + a^(-6) - 2/a^4 + 3/a^2 + 2*a^2 - 12*z^2 - (2*z^2)/a^6 + (3*z^2)/a^4 + 
   (3*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (6*z^4)/a^6 + (11*z^4)/a^4 + 
   (4*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (11*z^6)/a^4 + 
   (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57215] -> 
  1 - 2/a^6 + 4/a^4 - 2/a^2 + 11*z^2 - (8*z^2)/a^6 + (29*z^2)/a^4 - 
   (30*z^2)/a^2 + 23*z^4 - (10*z^4)/a^6 + (51*z^4)/a^4 - (67*z^4)/a^2 + 
   19*z^6 - (5*z^6)/a^6 + (39*z^6)/a^4 - (66*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (14*z^8)/a^4 - (34*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57216] -> 22 - 7/a^2 - 21*a^2 + 7*a^4 + 
   66*z^2 - (16*z^2)/a^2 - 77*a^2*z^2 + 27*a^4*z^2 + 82*z^4 - (14*z^4)/a^2 - 
   117*a^2*z^4 + 38*a^4*z^4 + 51*z^6 - (6*z^6)/a^2 - 94*a^2*z^6 + 
   25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57217] -> 
  8 - 2/a^4 + 2/a^2 - 12*a^2 + 5*a^4 + 10*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 
   32*a^2*z^2 + 14*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   36*a^2*z^4 + 14*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 22*a^2*z^6 + 
   6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57218] -> -3/a^6 + 5/a^4 - a^(-2) + 4*z^2 - 
   (7*z^2)/a^6 + (21*z^2)/a^4 - (14*z^2)/a^2 + 12*z^4 - (9*z^4)/a^6 + 
   (37*z^4)/a^4 - (37*z^4)/a^2 + 13*z^6 - (5*z^6)/a^6 + (32*z^6)/a^4 - 
   (43*z^6)/a^2 + 6*z^8 - z^8/a^6 + (13*z^8)/a^4 - (26*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57219] -> 
  -4/a^10 + 11/a^8 - 12/a^6 + 6/a^4 - (12*z^2)/a^10 + (43*z^2)/a^8 - 
   (46*z^2)/a^6 + (19*z^2)/a^4 - (13*z^4)/a^10 + (63*z^4)/a^8 - 
   (78*z^4)/a^6 + (26*z^4)/a^4 - (6*z^6)/a^10 + (44*z^6)/a^8 - (69*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 57220] -> 3/a^8 - 12/a^6 + 14/a^4 - 4/a^2 + 
   (11*z^2)/a^8 - (42*z^2)/a^6 + (51*z^2)/a^4 - (16*z^2)/a^2 + (13*z^4)/a^8 - 
   (62*z^4)/a^6 + (80*z^4)/a^4 - (25*z^4)/a^2 + (6*z^6)/a^8 - (44*z^6)/a^6 + 
   (69*z^6)/a^4 - (19*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (34*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57221] -> -2/a^12 + 4/a^10 - 3/a^8 + 4/a^6 - 6/a^4 + 
   4/a^2 - (3*z^2)/a^12 + (14*z^2)/a^10 - (16*z^2)/a^8 + (16*z^2)/a^6 - 
   (17*z^2)/a^4 + (8*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (25*z^4)/a^8 + 
   (21*z^4)/a^6 - (21*z^4)/a^4 + (5*z^4)/a^2 + (3*z^6)/a^10 - (15*z^6)/a^8 + 
   (15*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (6*z^8)/a^6 - 
   (2*z^8)/a^4 + z^10/a^6, Knot[15, Alternating, 57222] -> 
  5 - 2/a^2 - 2*a^2 + 32*z^2 + (8*z^2)/a^4 - (27*z^2)/a^2 - 11*a^2*z^2 + 
   65*z^4 + (12*z^4)/a^4 - (53*z^4)/a^2 - 21*a^2*z^4 + 63*z^6 + (6*z^6)/a^4 - 
   (42*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57223] -> 
  7 - a^(-6) + 4/a^4 - 7/a^2 - 2*a^2 + 20*z^2 + (2*z^2)/a^6 + z^2/a^4 - 
   (15*z^2)/a^2 - 7*a^2*z^2 + 24*z^4 + (3*z^4)/a^6 - (9*z^4)/a^4 - 
   (8*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (3*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57224] -> 1 + 8*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   24*z^4 + (4*z^4)/a^4 - (16*z^4)/a^2 - 8*a^2*z^4 + 26*z^6 + (8*z^6)/a^4 - 
   (25*z^6)/a^2 - 5*a^2*z^6 + 12*z^8 + (5*z^8)/a^4 - (19*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57225] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + 3*z^2 - 
   13*a^2*z^2 + 23*a^4*z^2 - 9*a^6*z^2 + 12*z^4 - 39*a^2*z^4 + 45*a^4*z^4 - 
   12*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57226] -> 21 + 4/a^4 - 16/a^2 - 8*a^2 + 
   64*z^2 + (16*z^2)/a^4 - (56*z^2)/a^2 - 20*a^2*z^2 + 81*z^4 + 
   (25*z^4)/a^4 - (84*z^4)/a^2 - 18*a^2*z^4 + 51*z^6 + (19*z^6)/a^4 - 
   (70*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57227] -> 2 + a^(-6) - a^(-4) - a^(-2) + 9*z^2 - 
   z^2/a^6 + (10*z^2)/a^4 - (20*z^2)/a^2 + 12*z^4 - (9*z^4)/a^6 + 
   (31*z^4)/a^4 - (42*z^4)/a^2 + 6*z^6 - (12*z^6)/a^6 + (39*z^6)/a^4 - 
   (36*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (25*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57228] -> 4 + 3/a^4 - 6/a^2 + 2*z^2 - (2*z^2)/a^6 + 
   (10*z^2)/a^4 - (15*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57229] -> 
  9 - 2/a^2 - 10*a^2 + 4*a^4 + 32*z^2 - (9*z^2)/a^2 - 37*a^2*z^2 + 
   12*a^4*z^2 + 54*z^4 - (16*z^4)/a^2 - 54*a^2*z^4 + 13*a^4*z^4 + 50*z^6 - 
   (14*z^6)/a^2 - 39*a^2*z^6 + 6*a^4*z^6 + 27*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57230] -> -5*a^2 + 19*a^4 - 19*a^6 + 6*a^8 - 
   18*a^2*z^2 + 62*a^4*z^2 - 59*a^6*z^2 + 17*a^8*z^2 - 26*a^2*z^4 + 
   88*a^4*z^4 - 77*a^6*z^4 + 17*a^8*z^4 - 19*a^2*z^6 + 71*a^4*z^6 - 
   50*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 34*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 57231] -> -3 + 9*a^2 - 4*a^4 - 3*a^6 + 2*a^8 - 9*z^2 + 
   23*a^2*z^2 - 5*a^4*z^2 - 15*a^6*z^2 + 7*a^8*z^2 - 10*z^4 + 25*a^2*z^4 + 
   2*a^4*z^4 - 21*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 8*a^4*z^6 - 
   11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 2*a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57232] -> 
  2 - 4/a^6 + 9/a^4 - 6/a^2 + 15*z^2 - (12*z^2)/a^6 + (43*z^2)/a^4 - 
   (43*z^2)/a^2 + 27*z^4 - (13*z^4)/a^6 + (65*z^4)/a^4 - (82*z^4)/a^2 + 
   20*z^6 - (6*z^6)/a^6 + (45*z^6)/a^4 - (73*z^6)/a^2 + 7*z^8 - z^8/a^6 + 
   (15*z^8)/a^4 - (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57233] -> -5/a^10 + 15/a^8 - 17/a^6 + 
   8/a^4 - (17*z^2)/a^10 + (63*z^2)/a^8 - (71*z^2)/a^6 + (28*z^2)/a^4 - 
   (17*z^4)/a^10 + (88*z^4)/a^8 - (115*z^4)/a^6 + (38*z^4)/a^4 - 
   (7*z^6)/a^10 + (56*z^6)/a^8 - (94*z^6)/a^6 + (25*z^6)/a^4 - z^8/a^10 + 
   (17*z^8)/a^8 - (42*z^8)/a^6 + (8*z^8)/a^4 + (2*z^10)/a^8 - (10*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 57234] -> 
  -4/a^10 + 9/a^8 - 4/a^6 - 4/a^4 + 4/a^2 - (8*z^2)/a^10 + (26*z^2)/a^8 - 
   (10*z^2)/a^6 - (18*z^2)/a^4 + (12*z^2)/a^2 - (5*z^4)/a^10 + (27*z^4)/a^8 - 
   (16*z^4)/a^6 - (28*z^4)/a^4 + (13*z^4)/a^2 - z^6/a^10 + (12*z^6)/a^8 - 
   (14*z^6)/a^6 - (20*z^6)/a^4 + (6*z^6)/a^2 + (2*z^8)/a^8 - (6*z^8)/a^6 - 
   (7*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57235] -> -a^(-8) + 2/a^4 - (4*z^2)/a^10 + 
   (11*z^2)/a^8 - (10*z^2)/a^6 + (7*z^2)/a^4 - (8*z^4)/a^10 + (32*z^4)/a^8 - 
   (35*z^4)/a^6 + (13*z^4)/a^4 - (5*z^6)/a^10 + (31*z^6)/a^8 - (43*z^6)/a^6 + 
   (13*z^6)/a^4 - z^8/a^10 + (13*z^8)/a^8 - (26*z^8)/a^6 + (6*z^8)/a^4 + 
   (2*z^10)/a^8 - (8*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 57236] -> 2 - 2/a^8 + 3/a^6 + a^(-4) - 3/a^2 + 7*z^2 - 
   (5*z^2)/a^8 + (16*z^2)/a^6 - (5*z^2)/a^4 - (11*z^2)/a^2 + 9*z^4 - 
   (4*z^4)/a^8 + (21*z^4)/a^6 - (15*z^4)/a^4 - (17*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (11*z^6)/a^6 - (14*z^6)/a^4 - (14*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (6*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57237] -> -2/a^12 + 2/a^10 + 7/a^8 - 14/a^6 + 8/a^4 - 
   (7*z^2)/a^12 + (19*z^2)/a^10 + (5*z^2)/a^8 - (35*z^2)/a^6 + (20*z^2)/a^4 - 
   (5*z^4)/a^12 + (27*z^4)/a^10 - (11*z^4)/a^8 - (40*z^4)/a^6 + 
   (18*z^4)/a^4 - z^6/a^12 + (13*z^6)/a^10 - (16*z^6)/a^8 - (25*z^6)/a^6 + 
   (7*z^6)/a^4 + (2*z^8)/a^10 - (7*z^8)/a^8 - (8*z^8)/a^6 + z^8/a^4 - 
   z^10/a^8 - z^10/a^6, Knot[15, Alternating, 57238] -> 
  -2/a^12 + 3/a^10 + a^(-8) - a^(-6) - 4/a^4 + 4/a^2 - (3*z^2)/a^12 + 
   (9*z^2)/a^10 + (4*z^2)/a^8 - (9*z^2)/a^6 - (8*z^2)/a^4 + (8*z^2)/a^2 - 
   z^4/a^12 + (8*z^4)/a^10 - (16*z^4)/a^6 - (9*z^4)/a^4 + (5*z^4)/a^2 + 
   (2*z^6)/a^10 - (3*z^6)/a^8 - (10*z^6)/a^6 - (5*z^6)/a^4 + z^6/a^2 - 
   z^8/a^8 - (2*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 57239] -> 
  -2 + a^(-4) - 2/a^2 + 8*a^2 - 4*a^4 - 4*z^2 + (6*z^2)/a^4 - (12*z^2)/a^2 + 
   21*a^2*z^2 - 8*a^4*z^2 - 7*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 23*a^2*z^4 - 
   5*a^4*z^4 - 9*z^6 + (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 
   5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57240] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 11*z^2 + 
   (4*z^2)/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 19*z^4 + (8*z^4)/a^2 + 
   5*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 3*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57241] -> -2 + 5*a^2 + a^4 - 5*a^6 + 
   2*a^8 - 7*z^2 + 17*a^2*z^2 - a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 9*z^4 + 
   23*a^2*z^4 - a^4*z^4 - 15*a^6*z^4 + 4*a^8*z^4 - 5*z^6 + 16*a^2*z^6 + 
   4*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57242] -> 
  a^(-8) - 8/a^6 + 12/a^4 - 4/a^2 + (4*z^2)/a^8 - (28*z^2)/a^6 + 
   (48*z^2)/a^4 - (18*z^2)/a^2 + (6*z^4)/a^8 - (44*z^4)/a^6 + (81*z^4)/a^4 - 
   (28*z^4)/a^2 + (4*z^6)/a^8 - (34*z^6)/a^6 + (72*z^6)/a^4 - (20*z^6)/a^2 + 
   z^8/a^8 - (13*z^8)/a^6 + (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + 
   (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 57243] -> 
  3 - 2/a^4 + 2/a^2 - 2*a^2 + 29*z^2 + z^2/a^4 - (13*z^2)/a^2 - 13*a^2*z^2 + 
   66*z^4 + (5*z^4)/a^4 - (35*z^4)/a^2 - 24*a^2*z^4 + 66*z^6 + (4*z^6)/a^4 - 
   (32*z^6)/a^2 - 19*a^2*z^6 + 34*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 
   9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57244] -> 
  -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - (2*z^2)/a^8 + (14*z^2)/a^6 - 
   (18*z^2)/a^4 + (8*z^2)/a^2 + (4*z^4)/a^8 - (5*z^4)/a^6 - (5*z^4)/a^4 + 
   z^4/a^2 + (4*z^6)/a^8 - (19*z^6)/a^6 + (17*z^6)/a^4 - (7*z^6)/a^2 + 
   z^8/a^8 - (11*z^8)/a^6 + (18*z^8)/a^4 - (5*z^8)/a^2 - (2*z^10)/a^6 + 
   (7*z^10)/a^4 - z^10/a^2 + z^12/a^4, Knot[15, Alternating, 57245] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 4*z^2 - (3*z^2)/a^6 + z^2/a^4 + 
   (10*z^2)/a^2 + 7*z^4 - (8*z^4)/a^6 + (26*z^4)/a^4 - (18*z^4)/a^2 + 
   12*z^6 - (5*z^6)/a^6 + (30*z^6)/a^4 - (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57246] -> 1 + 4*z^2 - 8*a^2*z^2 + 
   4*a^4*z^2 + 16*z^4 - (4*z^4)/a^2 - 24*a^2*z^4 + 8*a^4*z^4 + 25*z^6 - 
   (8*z^6)/a^2 - 26*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + 
   a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57247] -> 6 - a^(-6) + 7/a^4 - 11/a^2 + 13*z^2 - 
   (6*z^2)/a^6 + (26*z^2)/a^4 - (37*z^2)/a^2 + 13*z^4 - (13*z^4)/a^6 + 
   (45*z^4)/a^4 - (52*z^4)/a^2 + 6*z^6 - (13*z^6)/a^6 + (45*z^6)/a^4 - 
   (38*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (26*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57248] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 + z^2 - 
   9*a^2*z^2 + 21*a^4*z^2 - 9*a^6*z^2 + 9*z^4 - 31*a^2*z^4 + 42*a^4*z^4 - 
   12*a^6*z^4 + 12*z^6 - 39*a^2*z^6 + 36*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57249] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 
   2*a^6 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - z^4 + 
   (2*z^4)/a^2 - 6*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 
   6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57250] -> 
  1 + 16*z^2 - (4*z^2)/a^2 - 20*a^2*z^2 + 8*a^4*z^2 + 40*z^4 - (12*z^4)/a^2 - 
   44*a^2*z^4 + 12*a^4*z^4 + 44*z^6 - (13*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 57251] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 35*z^2 + (7*z^2)/a^4 - (28*z^2)/a^2 - 
   12*a^2*z^2 + 51*z^4 + (13*z^4)/a^4 - (46*z^4)/a^2 - 13*a^2*z^4 + 38*z^6 + 
   (13*z^6)/a^4 - (45*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57252] -> 5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + 
   (16*z^2)/a^8 - (55*z^2)/a^6 + (60*z^2)/a^4 - (17*z^2)/a^2 + (23*z^4)/a^8 - 
   (79*z^4)/a^6 + (75*z^4)/a^4 - (17*z^4)/a^2 + (18*z^6)/a^8 - (66*z^6)/a^6 + 
   (49*z^6)/a^4 - (7*z^6)/a^2 + (7*z^8)/a^8 - (33*z^8)/a^6 + (16*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 57253] -> -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 5*z^2 + 
   (8*z^2)/a^8 - (22*z^2)/a^6 + (12*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (9*z^4)/a^8 - (25*z^4)/a^6 + (6*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57254] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 - (6*z^2)/a^6 + (14*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (9*z^4)/a^6 + (22*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57255] -> 23 + 6/a^4 - 20/a^2 - 8*a^2 + 67*z^2 + 
   (19*z^2)/a^4 - (64*z^2)/a^2 - 20*a^2*z^2 + 82*z^4 + (26*z^4)/a^4 - 
   (89*z^4)/a^2 - 18*a^2*z^4 + 51*z^6 + (19*z^6)/a^4 - (71*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57256] -> 
  9 + 4/a^4 - 11/a^2 + a^2 - 2*a^4 + 16*z^2 + (10*z^2)/a^4 - (28*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (10*z^4)/a^4 - (29*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57257] -> -a^(-12) + 3/a^10 - 5/a^8 + 7/a^6 - 7/a^4 + 
   4/a^2 + (4*z^2)/a^10 - (10*z^2)/a^8 + (18*z^2)/a^6 - (19*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^10 - (4*z^4)/a^8 + (15*z^4)/a^6 - (24*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6/a^10 + (4*z^6)/a^8 + (4*z^6)/a^6 - (14*z^6)/a^4 + 
   (4*z^6)/a^2 + (2*z^8)/a^8 - (2*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57258] -> 
  -4 - a^(-10) + 2/a^8 + a^(-6) - 5/a^4 + 6/a^2 + 2*a^2 - 10*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (5*z^2)/a^4 + (10*z^2)/a^2 + 3*a^2*z^2 - 
   10*z^4 - z^4/a^8 - (7*z^4)/a^6 + (4*z^4)/a^4 + (7*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (9*z^6)/a^4 + (6*z^6)/a^2 + z^8/a^6 + (3*z^8)/a^4 + 
   (2*z^8)/a^2, Knot[15, Alternating, 57259] -> 
  -2 - a^2 + 15*a^4 - 15*a^6 + 4*a^8 - 5*z^2 - 4*a^2*z^2 + 44*a^4*z^2 - 
   37*a^6*z^2 + 8*a^8*z^2 - 6*z^4 - 2*a^2*z^4 + 54*a^4*z^4 - 37*a^6*z^4 + 
   5*a^8*z^4 - 4*z^6 + 4*a^2*z^6 + 36*a^4*z^6 - 17*a^6*z^6 + a^8*z^6 - z^8 + 
   4*a^2*z^8 + 13*a^4*z^8 - 3*a^6*z^8 + a^2*z^10 + 2*a^4*z^10, 
 Knot[15, Alternating, 57260] -> 1 - a^(-2) - a^2 + 8*a^4 - 8*a^6 + 2*a^8 + 
   2*z^2 - (2*z^2)/a^2 - a^2*z^2 + 18*a^4*z^2 - 15*a^6*z^2 + 3*a^8*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 + 16*a^4*z^4 - 11*a^6*z^4 + a^8*z^4 + 
   2*z^6 - z^6/a^2 + 5*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   2*a^4*z^8, Knot[15, Alternating, 57261] -> -2/a^14 + 7/a^12 - 4/a^10 - 
   8/a^8 + 8/a^6 - (3*z^2)/a^14 + (16*z^2)/a^12 - (12*z^2)/a^10 - 
   (16*z^2)/a^8 + (12*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - 
   (17*z^4)/a^10 - (18*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - 
   (12*z^6)/a^10 - (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - 
   (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 57262] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 8/a^4 + 4/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   (7*z^4)/a^8 + (22*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57263] -> -6 + 2/a^2 + 4*a^2 + 5*a^4 - 4*a^6 - 
   14*z^2 + (6*z^2)/a^2 + a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 - 15*z^4 + 
   (7*z^4)/a^2 - 8*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 
   10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57264] -> 
  -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 8*z^2 + (4*z^2)/a^2 - 3*a^2*z^2 + 
   17*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - 5*a^2*z^4 + 17*a^4*z^4 - 
   4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57265] -> -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 - 
   (2*z^2)/a^10 + (8*z^2)/a^8 - (2*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 
   (2*z^4)/a^10 + (11*z^4)/a^8 - (8*z^4)/a^6 - (14*z^4)/a^4 + (7*z^4)/a^2 - 
   z^6/a^10 + (7*z^6)/a^8 - (8*z^6)/a^6 - (12*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (4*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57266] -> -1 - a^(-8) + 3/a^6 - 5/a^4 + 5/a^2 + z^2 - 
   (3*z^2)/a^8 + (9*z^2)/a^6 - (7*z^2)/a^4 + (2*z^2)/a^2 + 5*z^4 - 
   (3*z^4)/a^8 + (12*z^4)/a^6 - (6*z^4)/a^4 - (8*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (6*z^6)/a^4 - (10*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57267] -> 4 - 2/a^4 + 3/a^2 - 7*a^2 + 3*a^4 + 6*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 - 21*a^2*z^2 + 9*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 57268] -> 
  2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + (3*z^2)/a^12 - (14*z^2)/a^10 + 
   (17*z^2)/a^8 - (4*z^2)/a^6 + (3*z^2)/a^4 + (3*z^4)/a^12 - (13*z^4)/a^10 + 
   (15*z^4)/a^8 + z^4/a^6 - z^4/a^4 + z^6/a^12 - (8*z^6)/a^10 + (8*z^6)/a^8 + 
   (5*z^6)/a^6 - (3*z^6)/a^4 - (2*z^8)/a^10 + (4*z^8)/a^8 + (4*z^8)/a^6 - 
   z^8/a^4 + z^10/a^8 + z^10/a^6, Knot[15, Alternating, 57269] -> 
  -6 + a^(-2) + 11*a^2 - 5*a^4 - 16*z^2 + (4*z^2)/a^2 + 21*a^2*z^2 - 
   3*a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (6*z^4)/a^2 + 14*a^2*z^4 + 6*a^4*z^4 - 
   3*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 + a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + 
   z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57270] -> 26 + 5/a^4 - 20/a^2 - 10*a^2 + 73*z^2 + 
   (17*z^2)/a^4 - (62*z^2)/a^2 - 23*a^2*z^2 + 86*z^4 + (25*z^4)/a^4 - 
   (86*z^4)/a^2 - 19*a^2*z^4 + 52*z^6 + (19*z^6)/a^4 - (70*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57271] -> 
  7 + 2/a^6 - 6/a^4 + 2/a^2 - 4*a^2 + 18*z^2 + (6*z^2)/a^6 - (16*z^2)/a^4 + 
   (4*z^2)/a^2 - 8*a^2*z^2 + 21*z^4 + (8*z^4)/a^6 - (19*z^4)/a^4 - z^4/a^2 - 
   5*a^2*z^4 + 11*z^6 + (5*z^6)/a^6 - (14*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 
   2*z^8 + z^8/a^6 - (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57272] -> 7 + 2/a^4 - 7/a^2 + a^2 - 2*a^4 + 11*z^2 + 
   (5*z^2)/a^4 - (16*z^2)/a^2 + 8*a^2*z^2 - 5*a^4*z^2 + 4*z^4 + (6*z^4)/a^4 - 
   (16*z^4)/a^2 + 14*a^2*z^4 - 4*a^4*z^4 - 4*z^6 + (4*z^6)/a^4 - 
   (11*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57273] -> 
  -2 + 5*a^2 + a^4 - 5*a^6 + 2*a^8 - 5*z^2 + 13*a^2*z^2 + a^4*z^2 - 
   12*a^6*z^2 + 5*a^8*z^2 - 6*z^4 + 15*a^2*z^4 + 2*a^4*z^4 - 15*a^6*z^4 + 
   4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 5*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57274] -> -6 - 2/a^4 + 7/a^2 + 3*a^2 - 3*a^4 + 2*a^6 - 
   19*z^2 - (4*z^2)/a^4 + (14*z^2)/a^2 + 14*a^2*z^2 - 12*a^4*z^2 + 
   3*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (14*z^4)/a^2 + 21*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 57275] -> 4 + a^(-6) - 3/a^4 + a^(-2) - 2*a^2 + 
   8*z^2 + (2*z^2)/a^6 - (5*z^2)/a^4 - z^2/a^2 - 2*a^4*z^2 + 6*z^4 + 
   (2*z^4)/a^6 - (3*z^4)/a^4 - (4*z^4)/a^2 + 4*a^2*z^4 - a^4*z^4 + z^6/a^6 - 
   (2*z^6)/a^4 - (5*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 57276] -> 1 - a^(-2) + 5*a^2 - 6*a^4 + 2*a^6 + 2*z^2 - 
   (2*z^2)/a^2 + 10*a^2*z^2 - 11*a^4*z^2 + 2*a^8*z^2 + 2*z^4 - (2*z^4)/a^2 + 
   9*a^2*z^4 - 7*a^4*z^4 - 4*a^6*z^4 + a^8*z^4 + 2*z^6 - z^6/a^2 + 
   6*a^2*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 57277] -> -a^(-14) + 4/a^12 - 7/a^10 + 3/a^8 + 2/a^6 - 
   (4*z^2)/a^14 + (11*z^2)/a^12 - (13*z^2)/a^10 + (6*z^2)/a^8 + (7*z^2)/a^6 - 
   (4*z^4)/a^14 + (16*z^4)/a^12 - (11*z^4)/a^10 + (9*z^4)/a^6 - z^6/a^14 + 
   (10*z^6)/a^12 - (9*z^6)/a^10 - (7*z^6)/a^8 + (5*z^6)/a^6 + (2*z^8)/a^12 - 
   (5*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - z^10/a^10 - z^10/a^8, 
 Knot[15, Alternating, 57278] -> 4 - 5/a^6 + 13/a^4 - 11/a^2 + 16*z^2 - 
   (12*z^2)/a^6 + (45*z^2)/a^4 - (47*z^2)/a^2 + 25*z^4 - (13*z^4)/a^6 + 
   (63*z^4)/a^4 - (79*z^4)/a^2 + 19*z^6 - (6*z^6)/a^6 + (44*z^6)/a^4 - 
   (69*z^6)/a^2 + 7*z^8 - z^8/a^6 + (15*z^8)/a^4 - (34*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57279] -> 
  2 - 3/a^8 + 7/a^6 - 4/a^4 - a^(-2) + 7*z^2 - (5*z^2)/a^8 + (18*z^2)/a^6 - 
   (9*z^2)/a^4 - (10*z^2)/a^2 + 9*z^4 - (4*z^4)/a^8 + (19*z^4)/a^6 - 
   (12*z^4)/a^4 - (19*z^4)/a^2 + 5*z^6 - z^6/a^8 + (10*z^6)/a^6 - 
   (10*z^6)/a^4 - (15*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (5*z^8)/a^4 - 
   (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 57280] -> 
  -4/a^10 + 11/a^8 - 12/a^6 + 6/a^4 - (12*z^2)/a^10 + (43*z^2)/a^8 - 
   (46*z^2)/a^6 + (19*z^2)/a^4 - (13*z^4)/a^10 + (63*z^4)/a^8 - 
   (78*z^4)/a^6 + (26*z^4)/a^4 - (6*z^6)/a^10 + (44*z^6)/a^8 - (69*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 57281] -> -3/a^10 + 5/a^8 + a^(-6) - 6/a^4 + 4/a^2 - 
   (6*z^2)/a^10 + (18*z^2)/a^8 - (2*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (9*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57282] -> 3 + 2/a^4 - 6/a^2 + 6*a^2 - 4*a^4 + 3*z^2 + 
   (7*z^2)/a^4 - (17*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 3*z^4 + 
   (9*z^4)/a^4 - (21*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57283] -> 
  a^(-6) - 3/a^4 + 2/a^2 + 3*a^2 - 2*a^4 + 3*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 57284] -> -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57285] -> -1 + 2/a^4 - 2/a^2 + 2*a^2 - 
   10*z^2 - z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (3*z^4)/a^6 + (5*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (3*z^6)/a^6 + (6*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57286] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 9*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (7*z^2)/a^2 - 6*a^2*z^2 + 15*z^4 + (2*z^4)/a^6 - 
   (10*z^4)/a^4 + (10*z^4)/a^2 - 7*a^2*z^4 + 12*z^6 + z^6/a^6 - (7*z^6)/a^4 + 
   (8*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + 
   z^10 + z^10/a^2, Knot[15, Alternating, 57287] -> 
  -2 - a^(-8) + a^(-6) - 2/a^4 + 5/a^2 - 8*z^2 + z^2/a^8 - (5*z^2)/a^6 + 
   (2*z^2)/a^4 + (15*z^2)/a^2 - 10*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + 
   (10*z^4)/a^4 + (21*z^4)/a^2 - 5*z^6 + z^6/a^8 - (8*z^6)/a^6 + 
   (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (5*z^8)/a^4 + 
   (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57288] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 2*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + 
   (20*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + (2*z^4)/a^6 - (12*z^4)/a^4 + 
   (16*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 - 
   4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57289] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 6*z^2 - 
   (2*z^2)/a^8 + (5*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 - (3*z^4)/a^8 + 
   (10*z^4)/a^6 - (8*z^4)/a^4 + (8*z^4)/a^2 + 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - 
   (6*z^6)/a^4 - (3*z^6)/a^2 + z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - 
   (4*z^8)/a^2 - z^10/a^4 - z^10/a^2, Knot[15, Alternating, 57290] -> 
  -6 + a^(-4) + 2/a^2 + 4*a^2 - 15*z^2 - (2*z^2)/a^6 + (5*z^2)/a^4 + 
   z^2/a^2 + 6*a^2*z^2 - 16*z^4 - (5*z^4)/a^6 + (10*z^4)/a^4 + (2*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57291] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 7*a^2*z^2 + a^4*z^2 - 15*z^4 - 
   (5*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + 
   (11*z^6)/a^2 - 7*a^2*z^6 + a^4*z^6 + 3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57292] -> 
  -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - (7*z^2)/a^10 + (21*z^2)/a^8 - 
   (13*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - (9*z^4)/a^10 + (25*z^4)/a^8 - 
   (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - (5*z^6)/a^10 + (16*z^6)/a^8 + 
   (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (6*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57293] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57294] -> 28 + 7/a^4 - 24/a^2 - 10*a^2 + 78*z^2 + 
   (22*z^2)/a^4 - (74*z^2)/a^2 - 23*a^2*z^2 + 90*z^4 + (29*z^4)/a^4 - 
   (99*z^4)/a^2 - 19*a^2*z^4 + 53*z^6 + (20*z^6)/a^4 - (76*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (35*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57295] -> 
  -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + 
   (13*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - (2*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 + 
   4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - z^8/a^6 + (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57296] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 3/a^2 + 
   2*a^2 - 12*z^2 - (3*z^2)/a^8 + (9*z^2)/a^6 - (12*z^2)/a^4 + (13*z^2)/a^2 + 
   3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + (12*z^4)/a^6 - (17*z^4)/a^4 + 
   (20*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + 
   (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 57297] -> -a^(-10) + 3/a^8 - a^(-6) - 4/a^4 + 4/a^2 + 
   2*z^2 - (2*z^2)/a^10 + (7*z^2)/a^8 - z^2/a^6 - (10*z^2)/a^4 + 
   (3*z^2)/a^2 + z^4 - (2*z^4)/a^10 + (4*z^4)/a^8 + z^4/a^6 - (9*z^4)/a^4 - 
   (3*z^4)/a^2 - z^6/a^10 + (2*z^6)/a^8 + (4*z^6)/a^6 - z^6/a^4 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57298] -> -2 + 2/a^8 - a^(-6) - 7/a^4 + 9/a^2 - 
   5*z^2 + (6*z^2)/a^8 - (9*z^2)/a^6 - (12*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (7*z^4)/a^8 - (16*z^4)/a^6 - (10*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (12*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57299] -> -a^(-18) + 7/a^16 - 13/a^14 + 4/a^12 + 
   4/a^10 - z^2/a^18 + (13*z^2)/a^16 - (45*z^2)/a^14 + (30*z^2)/a^12 + 
   (16*z^2)/a^10 + (3*z^4)/a^16 - (45*z^4)/a^14 + (62*z^4)/a^12 + 
   (25*z^4)/a^10 - (3*z^6)/a^16 - (13*z^6)/a^14 + (54*z^6)/a^12 + 
   (19*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (21*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 57300] -> 
  -a^(-18) + 6/a^16 - 11/a^14 + 5/a^12 + 2/a^8 + (4*z^2)/a^16 - 
   (20*z^2)/a^14 + (12*z^2)/a^12 + (9*z^2)/a^10 + (7*z^2)/a^8 - 
   (2*z^4)/a^16 - (10*z^4)/a^14 + (18*z^4)/a^12 + (20*z^4)/a^10 + 
   (9*z^4)/a^8 - z^6/a^16 + z^6/a^14 + (13*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (3*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 57301] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 
   22*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 57302] -> -5 - a^(-4) + 4/a^2 + 6*a^2 - 5*a^4 + 
   2*a^6 - 18*z^2 - (3*z^2)/a^4 + (11*z^2)/a^2 + 18*a^2*z^2 - 13*a^4*z^2 + 
   3*a^6*z^2 - 21*z^4 - (3*z^4)/a^4 + (13*z^4)/a^2 + 22*a^2*z^4 - 
   11*a^4*z^4 + a^6*z^4 - 13*z^6 - z^6/a^4 + (8*z^6)/a^2 + 13*a^2*z^6 - 
   3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 57303] -> -6 - a^(-8) + 2/a^6 + 2/a^2 + 4*a^2 - 
   17*z^2 - (4*z^2)/a^8 + (8*z^2)/a^6 - (7*z^2)/a^4 + (12*z^2)/a^2 + 
   4*a^2*z^2 - 13*z^4 - (4*z^4)/a^8 + (13*z^4)/a^6 - (12*z^4)/a^4 + 
   (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + (9*z^6)/a^6 - (10*z^6)/a^4 + 
   (14*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 57304] -> -3 - a^(-8) + 3/a^6 - 3/a^4 + 4/a^2 - a^2 + 
   2*a^4 - 3*z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (6*z^2)/a^4 + (7*z^2)/a^2 - 
   6*a^2*z^2 + a^4*z^2 + 4*z^4 - z^4/a^8 + (4*z^4)/a^6 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 3*a^2*z^4 + 3*z^6 + (2*z^6)/a^6 - z^6/a^4 + z^6/a^2 - 
   z^8/a^4 - z^8/a^2, Knot[15, Alternating, 57305] -> 
  -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 5*z^2 + (6*z^2)/a^8 - (13*z^2)/a^6 + 
   (14*z^2)/a^2 - 4*z^4 + (7*z^4)/a^8 - (17*z^4)/a^6 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57306] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + (6*z^2)/a^6 - 
   (11*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - (3*z^4)/a^8 + 
   (11*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + a^2*z^4 - 3*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + (2*z^8)/a^6 - (5*z^8)/a^4 + 
   (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 57307] -> 
  2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + a^(-2) + 3*z^2 - (3*z^2)/a^10 + 
   (6*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 - (2*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - (8*z^4)/a^4 - (5*z^4)/a^2 - 
   z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - (2*z^6)/a^2 + z^8/a^8 + 
   (2*z^8)/a^6 + z^8/a^4, Knot[15, Alternating, 57308] -> 
  2 - 6*a^2 + 9*a^4 - 4*a^6 + 2*z^2 + z^2/a^2 - 14*a^2*z^2 + 20*a^4*z^2 - 
   6*a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 13*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 
   6*z^6 + (3*z^6)/a^2 - 8*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57309] -> 
  5 + 4/a^4 - 10/a^2 + 6*a^2 - 4*a^4 + 6*z^2 + (10*z^2)/a^4 - (25*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 2*z^4 + (10*z^4)/a^4 - (26*z^4)/a^2 + 
   22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57310] -> -9 - 2/a^4 + 8/a^2 + 4*a^2 - 23*z^2 + 
   z^2/a^6 - (9*z^2)/a^4 + (22*z^2)/a^2 + 9*a^2*z^2 - 2*a^4*z^2 - 22*z^4 + 
   (2*z^4)/a^6 - (11*z^4)/a^4 + (26*z^4)/a^2 + 9*a^2*z^4 - a^4*z^4 - 12*z^6 + 
   z^6/a^6 - (7*z^6)/a^4 + (15*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (5*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 57311] -> 
  -11*a^2 + 33*a^4 - 29*a^6 + 8*a^8 - 35*a^2*z^2 + 105*a^4*z^2 - 84*a^6*z^2 + 
   20*a^8*z^2 - 43*a^2*z^4 + 140*a^4*z^4 - 99*a^6*z^4 + 18*a^8*z^4 - 
   26*a^2*z^6 + 102*a^4*z^6 - 58*a^6*z^6 + 7*a^8*z^6 - 8*a^2*z^8 + 
   43*a^4*z^8 - 17*a^6*z^8 + a^8*z^8 - a^2*z^10 + 10*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 57312] -> -3 + 3*a^2 + 10*a^4 - 13*a^6 + 
   4*a^8 - 9*z^2 + 12*a^2*z^2 + 24*a^4*z^2 - 30*a^6*z^2 + 8*a^8*z^2 - 
   10*z^4 + 19*a^2*z^4 + 25*a^4*z^4 - 28*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 
   15*a^2*z^6 + 16*a^4*z^6 - 12*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 
   6*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57313] -> -2 - a^2 + 15*a^4 - 15*a^6 + 4*a^8 - 5*z^2 - 
   4*a^2*z^2 + 44*a^4*z^2 - 37*a^6*z^2 + 8*a^8*z^2 - 6*z^4 - 2*a^2*z^4 + 
   54*a^4*z^4 - 37*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 4*a^2*z^6 + 36*a^4*z^6 - 
   17*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 13*a^4*z^8 - 3*a^6*z^8 + 
   a^2*z^10 + 2*a^4*z^10, Knot[15, Alternating, 57314] -> 
  -a^(-8) + 3/a^6 - 4/a^4 + 3/a^2 + 2*z^2 - (2*z^2)/a^8 + (8*z^2)/a^6 - 
   (7*z^2)/a^4 + 5*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (7*z^4)/a^4 - 
   (9*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (6*z^6)/a^4 - (10*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57315] -> 33 + 8/a^4 - 28/a^2 - 12*a^2 + 96*z^2 + 
   (28*z^2)/a^4 - (92*z^2)/a^2 - 28*a^2*z^2 + 112*z^4 + (38*z^4)/a^4 - 
   (127*z^4)/a^2 - 23*a^2*z^4 + 64*z^6 + (25*z^6)/a^4 - (96*z^6)/a^2 - 
   8*a^2*z^6 + 18*z^8 + (8*z^8)/a^4 - (42*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (10*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57316] -> 
  10 + 5/a^4 - 14/a^2 + 4*a^2 - 4*a^4 + 16*z^2 + (14*z^2)/a^4 - 
   (36*z^2)/a^2 + 17*a^2*z^2 - 8*a^4*z^2 + 4*z^4 + (14*z^4)/a^4 - 
   (38*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 7*z^6 + (6*z^6)/a^4 - 
   (22*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - (7*z^8)/a^2 + 
   2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57317] -> 
  28 + 7/a^4 - 24/a^2 - 10*a^2 + 78*z^2 + (22*z^2)/a^4 - (74*z^2)/a^2 - 
   23*a^2*z^2 + 90*z^4 + (29*z^4)/a^4 - (99*z^4)/a^2 - 19*a^2*z^4 + 53*z^6 + 
   (20*z^6)/a^4 - (76*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (35*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57318] -> -1 - 5*a^2 + 20*a^4 - 17*a^6 + 4*a^8 - 
   4*z^2 - 12*a^2*z^2 + 57*a^4*z^2 - 42*a^6*z^2 + 8*a^8*z^2 - 6*z^4 - 
   7*a^2*z^4 + 67*a^4*z^4 - 41*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 3*a^2*z^6 + 
   42*a^4*z^6 - 18*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 14*a^4*z^8 - 
   3*a^6*z^8 + a^2*z^10 + 2*a^4*z^10, Knot[15, Alternating, 57319] -> 
  -3 + 4*a^2 + 6*a^4 - 8*a^6 + 2*a^8 - 6*z^2 - z^2/a^2 + 12*a^2*z^2 + 
   13*a^4*z^2 - 15*a^6*z^2 + 3*a^8*z^2 - 3*z^4 - (2*z^4)/a^2 + 16*a^2*z^4 + 
   12*a^4*z^4 - 11*a^6*z^4 + a^8*z^4 + z^6 - z^6/a^2 + 11*a^2*z^6 + 
   7*a^4*z^6 - 3*a^6*z^6 + z^8 + 3*a^2*z^8 + 2*a^4*z^8, 
 Knot[15, Alternating, 57320] -> -3 + 4*a^2 + 6*a^4 - 8*a^6 + 2*a^8 - 
   10*z^2 + 14*a^2*z^2 + 17*a^4*z^2 - 18*a^6*z^2 + 3*a^8*z^2 - 8*z^4 - 
   (2*z^4)/a^2 + 22*a^2*z^4 + 19*a^4*z^4 - 15*a^6*z^4 + a^8*z^4 - z^6/a^2 + 
   16*a^2*z^6 + 12*a^4*z^6 - 4*a^6*z^6 + z^8 + 4*a^2*z^8 + 3*a^4*z^8, 
 Knot[15, Alternating, 57321] -> 23 + 6/a^4 - 20/a^2 - 8*a^2 + 67*z^2 + 
   (19*z^2)/a^4 - (64*z^2)/a^2 - 20*a^2*z^2 + 82*z^4 + (26*z^4)/a^4 - 
   (89*z^4)/a^2 - 18*a^2*z^4 + 51*z^6 + (19*z^6)/a^4 - (71*z^6)/a^2 - 
   7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57322] -> 
  9 + 4/a^4 - 11/a^2 + a^2 - 2*a^4 + 16*z^2 + (10*z^2)/a^4 - (28*z^2)/a^2 + 
   8*a^2*z^2 - 5*a^4*z^2 + 8*z^4 + (10*z^4)/a^4 - (29*z^4)/a^2 + 14*a^2*z^4 - 
   4*a^4*z^4 - 3*z^6 + (5*z^6)/a^4 - (17*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57323] -> -2/a^10 + 2/a^8 + 2/a^6 - 3/a^4 + 2/a^2 - 
   (7*z^2)/a^10 + (19*z^2)/a^8 - (5*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (5*z^4)/a^10 + (29*z^4)/a^8 - (23*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (16*z^6)/a^8 - (26*z^6)/a^6 - (10*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 57324] -> -a^(-12) + 3/a^8 - 2/a^6 - 
   a^(-4) + 2/a^2 - (3*z^2)/a^12 + (7*z^2)/a^10 + (6*z^2)/a^8 - 
   (10*z^2)/a^6 - z^2/a^4 + (5*z^2)/a^2 - z^4/a^12 + (10*z^4)/a^10 - 
   z^4/a^8 - (18*z^4)/a^6 - (2*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - 
   (6*z^6)/a^8 - (13*z^6)/a^6 - (3*z^6)/a^4 + z^6/a^2 - (2*z^8)/a^8 - 
   (3*z^8)/a^6 - z^8/a^4, Knot[15, Alternating, 57325] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 13*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 
   5*a^2*z^2 + 17*z^4 + (2*z^4)/a^6 - (4*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 
   12*z^6 + z^6/a^6 - (6*z^6)/a^4 + z^6/a^2 - 4*a^2*z^6 + 5*z^8 - 
   (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57326] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (6*z^4)/a^6 + (16*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57327] -> 1 - a^(-2) - a^2 + 8*a^4 - 8*a^6 + 2*a^8 + 
   2*z^2 - (2*z^2)/a^2 - a^2*z^2 + 18*a^4*z^2 - 15*a^6*z^2 + 3*a^8*z^2 + 
   2*z^4 - (2*z^4)/a^2 + 3*a^2*z^4 + 16*a^4*z^4 - 11*a^6*z^4 + a^8*z^4 + 
   2*z^6 - z^6/a^2 + 5*a^2*z^6 + 8*a^4*z^6 - 3*a^6*z^6 + z^8 + 2*a^2*z^8 + 
   2*a^4*z^8, Knot[15, Alternating, 57328] -> 6 - a^(-4) - a^(-2) - 3*a^2 + 
   12*z^2 - (2*z^2)/a^4 + z^2/a^2 - 10*a^2*z^2 + 3*a^4*z^2 + 8*z^4 - 
   (2*z^4)/a^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57329] -> 
  a^(-10) - 4/a^8 + 4/a^6 - a^(-4) + a^(-2) - 2*z^2 + (2*z^2)/a^10 - 
   (9*z^2)/a^8 + (13*z^2)/a^6 - (7*z^2)/a^4 + (6*z^2)/a^2 - 3*z^4 + 
   z^4/a^10 - (9*z^4)/a^8 + (16*z^4)/a^6 - (11*z^4)/a^4 + (9*z^4)/a^2 - z^6 - 
   (3*z^6)/a^8 + (11*z^6)/a^6 - (8*z^6)/a^4 + (7*z^6)/a^2 + (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 57330] -> 
  5 + 4/a^4 - 10/a^2 + 6*a^2 - 4*a^4 + 6*z^2 + (10*z^2)/a^4 - (25*z^2)/a^2 + 
   19*a^2*z^2 - 8*a^4*z^2 - 2*z^4 + (10*z^4)/a^4 - (26*z^4)/a^2 + 
   22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + (5*z^6)/a^4 - (16*z^6)/a^2 + 11*a^2*z^6 - 
   a^4*z^6 - 5*z^8 + z^8/a^4 - (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57331] -> 2 - 6*a^2 + 9*a^4 - 4*a^6 + 2*z^2 + 
   z^2/a^2 - 14*a^2*z^2 + 20*a^4*z^2 - 6*a^6*z^2 - 3*z^4 + (3*z^4)/a^2 - 
   13*a^2*z^4 + 18*a^4*z^4 - 4*a^6*z^4 - 6*z^6 + (3*z^6)/a^2 - 8*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57332] -> -a^(-10) + 2/a^8 - 3/a^6 + 
   3/a^4 - (7*z^2)/a^10 + (26*z^2)/a^8 - (30*z^2)/a^6 + (15*z^2)/a^4 - 
   (9*z^4)/a^10 + (49*z^4)/a^8 - (68*z^4)/a^6 + (25*z^4)/a^4 - (5*z^6)/a^10 + 
   (38*z^6)/a^8 - (67*z^6)/a^6 + (19*z^6)/a^4 - z^8/a^10 + (14*z^8)/a^8 - 
   (34*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - 
   z^12/a^6, Knot[15, Alternating, 57333] -> 5 - 4/a^6 + 12/a^4 - 12/a^2 + 
   19*z^2 - (7*z^2)/a^6 + (37*z^2)/a^4 - (49*z^2)/a^2 + 28*z^4 - 
   (7*z^4)/a^6 + (49*z^4)/a^4 - (82*z^4)/a^2 + 20*z^6 - (4*z^6)/a^6 + 
   (35*z^6)/a^4 - (72*z^6)/a^2 + 7*z^8 - z^8/a^6 + (13*z^8)/a^4 - 
   (35*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57334] -> -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - 
   (4*z^2)/a^10 + (17*z^2)/a^8 - (18*z^2)/a^6 + (5*z^2)/a^4 + (3*z^2)/a^2 - 
   (3*z^4)/a^10 + (18*z^4)/a^8 - (20*z^4)/a^6 - (6*z^4)/a^4 + (6*z^4)/a^2 - 
   z^6/a^10 + (9*z^6)/a^8 - (13*z^6)/a^6 - (10*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57335] -> 22 - 7/a^2 - 21*a^2 + 7*a^4 + 66*z^2 - 
   (16*z^2)/a^2 - 77*a^2*z^2 + 27*a^4*z^2 + 82*z^4 - (14*z^4)/a^2 - 
   117*a^2*z^4 + 38*a^4*z^4 + 51*z^6 - (6*z^6)/a^2 - 94*a^2*z^6 + 
   25*a^4*z^6 + 16*z^8 - z^8/a^2 - 42*a^2*z^8 + 8*a^4*z^8 + 2*z^10 - 
   10*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57336] -> 
  8 - 2/a^4 + 2/a^2 - 12*a^2 + 5*a^4 + 10*z^2 - (4*z^2)/a^4 + (11*z^2)/a^2 - 
   32*a^2*z^2 + 14*a^4*z^2 - 2*z^4 - (3*z^4)/a^4 + (16*z^4)/a^2 - 
   36*a^2*z^4 + 14*a^4*z^4 - 9*z^6 - z^6/a^4 + (9*z^6)/a^2 - 22*a^2*z^6 + 
   6*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 - 7*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57337] -> a^(-12) - 4/a^10 + 4/a^8 - 2/a^6 + 2/a^4 + 
   (4*z^2)/a^12 - (15*z^2)/a^10 + (15*z^2)/a^8 + z^2/a^4 + (4*z^4)/a^12 - 
   (22*z^4)/a^10 + (25*z^4)/a^8 + (3*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (14*z^6)/a^10 + (23*z^6)/a^8 + (5*z^6)/a^6 - (4*z^6)/a^4 - (3*z^8)/a^10 + 
   (11*z^8)/a^8 + (4*z^8)/a^6 - z^8/a^4 + (2*z^10)/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57338] -> 4/a^8 - 19/a^6 + 25/a^4 - 9/a^2 + 
   (10*z^2)/a^8 - (57*z^2)/a^6 + (87*z^2)/a^4 - (32*z^2)/a^2 + (10*z^4)/a^8 - 
   (72*z^4)/a^6 + (127*z^4)/a^4 - (42*z^4)/a^2 + (5*z^6)/a^8 - (46*z^6)/a^6 + 
   (99*z^6)/a^4 - (26*z^6)/a^2 + z^8/a^8 - (15*z^8)/a^6 + (43*z^8)/a^4 - 
   (8*z^8)/a^2 - (2*z^10)/a^6 + (10*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57339] -> -2 + 2/a^8 - 10/a^6 + 11/a^4 - 8*z^2 + 
   (4*z^2)/a^8 - (23*z^2)/a^6 + (28*z^2)/a^4 + (6*z^2)/a^2 - 10*z^4 + 
   (3*z^4)/a^8 - (22*z^4)/a^6 + (30*z^4)/a^4 + (16*z^4)/a^2 - 5*z^6 + 
   z^6/a^8 - (10*z^6)/a^6 + (18*z^6)/a^4 + (15*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (6*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57340] -> -2/a^10 + 3/a^8 - 2/a^6 + 2/a^4 - 
   (11*z^2)/a^10 + (31*z^2)/a^8 - (25*z^2)/a^6 + (11*z^2)/a^4 - 
   (13*z^4)/a^10 + (57*z^4)/a^8 - (60*z^4)/a^6 + (21*z^4)/a^4 - 
   (6*z^6)/a^10 + (43*z^6)/a^8 - (62*z^6)/a^6 + (18*z^6)/a^4 - z^8/a^10 + 
   (15*z^8)/a^8 - (33*z^8)/a^6 + (7*z^8)/a^4 + (2*z^10)/a^8 - (9*z^10)/a^6 + 
   z^10/a^4 - z^12/a^6, Knot[15, Alternating, 57341] -> 
  2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + (9*z^2)/a^12 - (33*z^2)/a^10 + 
   (33*z^2)/a^8 - (3*z^2)/a^6 + (12*z^4)/a^12 - (55*z^4)/a^10 + 
   (68*z^4)/a^8 - (16*z^4)/a^6 + (6*z^6)/a^12 - (42*z^6)/a^10 + 
   (64*z^6)/a^8 - (17*z^6)/a^6 + z^8/a^12 - (15*z^8)/a^10 + (33*z^8)/a^8 - 
   (7*z^8)/a^6 - (2*z^10)/a^10 + (9*z^10)/a^8 - z^10/a^6 + z^12/a^8, 
 Knot[15, Alternating, 57342] -> a^(-8) - 4/a^6 + 4/a^4 + (6*z^2)/a^8 - 
   (18*z^2)/a^6 + (18*z^2)/a^4 - (4*z^2)/a^2 + (9*z^4)/a^8 - (36*z^4)/a^6 + 
   (38*z^4)/a^4 - (12*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + (43*z^6)/a^4 - 
   (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - (6*z^8)/a^2 - 
   (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57343] -> -3/a^10 + 7/a^8 - 7/a^6 + 4/a^4 - 
   (6*z^2)/a^10 + (19*z^2)/a^8 - (14*z^2)/a^6 + (4*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (15*z^4)/a^6 - (5*z^4)/a^4 + (5*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (11*z^6)/a^6 - (9*z^6)/a^4 + (4*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57344] -> 2/a^12 - 7/a^10 + 7/a^8 - 3/a^6 + 2/a^4 + 
   (5*z^2)/a^12 - (18*z^2)/a^10 + (17*z^2)/a^8 + z^2/a^4 + (4*z^4)/a^12 - 
   (19*z^4)/a^10 + (17*z^4)/a^8 + (7*z^4)/a^6 - (4*z^4)/a^4 + z^6/a^12 - 
   (10*z^6)/a^10 + (11*z^6)/a^8 + (9*z^6)/a^6 - (4*z^6)/a^4 - (2*z^8)/a^10 + 
   (5*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57345] -> 5 - 2/a^2 - 2*a^2 + 32*z^2 + (8*z^2)/a^4 - 
   (27*z^2)/a^2 - 11*a^2*z^2 + 65*z^4 + (12*z^4)/a^4 - (53*z^4)/a^2 - 
   21*a^2*z^4 + 63*z^6 + (6*z^6)/a^4 - (42*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + 
   z^8/a^4 - (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 57346] -> 7 - a^(-6) + 4/a^4 - 7/a^2 - 2*a^2 + 
   20*z^2 + (2*z^2)/a^6 + z^2/a^4 - (15*z^2)/a^2 - 7*a^2*z^2 + 24*z^4 + 
   (3*z^4)/a^6 - (9*z^4)/a^4 - (8*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - 
   (8*z^6)/a^4 + (3*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57347] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 + z^2 - 9*a^2*z^2 + 21*a^4*z^2 - 9*a^6*z^2 + 
   9*z^4 - 31*a^2*z^4 + 42*a^4*z^4 - 12*a^6*z^4 + 12*z^6 - 39*a^2*z^6 + 
   36*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 25*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57348] -> 
  11 + 2/a^4 - 8/a^2 - 4*a^2 + 35*z^2 + (7*z^2)/a^4 - (28*z^2)/a^2 - 
   12*a^2*z^2 + 51*z^4 + (13*z^4)/a^4 - (46*z^4)/a^2 - 13*a^2*z^4 + 38*z^6 + 
   (13*z^6)/a^4 - (45*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (26*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57349] -> 1 + 4*z^2 - 8*a^2*z^2 + 4*a^4*z^2 + 16*z^4 - 
   (4*z^4)/a^2 - 24*a^2*z^4 + 8*a^4*z^4 + 25*z^6 - (8*z^6)/a^2 - 26*a^2*z^6 + 
   5*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 7*z^10 - 
   z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 57350] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 3*z^2 - z^2/a^2 - 6*a^2*z^2 + 
   12*a^4*z^2 - 5*a^6*z^2 - z^4 + (2*z^4)/a^2 - 6*a^2*z^4 + 15*a^4*z^4 - 
   4*a^6*z^4 - 5*z^6 + (3*z^6)/a^2 - 6*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   4*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57351] -> 5/a^8 - 18/a^6 + 20/a^4 - 6/a^2 + 
   (16*z^2)/a^8 - (55*z^2)/a^6 + (60*z^2)/a^4 - (17*z^2)/a^2 + (23*z^4)/a^8 - 
   (79*z^4)/a^6 + (75*z^4)/a^4 - (17*z^4)/a^2 + (18*z^6)/a^8 - (66*z^6)/a^6 + 
   (49*z^6)/a^4 - (7*z^6)/a^2 + (7*z^8)/a^8 - (33*z^8)/a^6 + (16*z^8)/a^4 - 
   z^8/a^2 + z^10/a^8 - (9*z^10)/a^6 + (2*z^10)/a^4 - z^12/a^6, 
 Knot[15, Alternating, 57352] -> 6 - a^(-6) + 7/a^4 - 11/a^2 + 13*z^2 - 
   (6*z^2)/a^6 + (26*z^2)/a^4 - (37*z^2)/a^2 + 13*z^4 - (13*z^4)/a^6 + 
   (45*z^4)/a^4 - (52*z^4)/a^2 + 6*z^6 - (13*z^6)/a^6 + (45*z^6)/a^4 - 
   (38*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (26*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57353] -> -2 + 3/a^8 - 9/a^6 + 6/a^4 + 3/a^2 - 5*z^2 + 
   (8*z^2)/a^8 - (22*z^2)/a^6 + (12*z^2)/a^4 + (10*z^2)/a^2 - 4*z^4 + 
   (9*z^4)/a^8 - (25*z^4)/a^6 + (6*z^4)/a^4 + (14*z^4)/a^2 - z^6 + 
   (5*z^6)/a^8 - (16*z^6)/a^6 - (3*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (6*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57354] -> 1 + 16*z^2 - (4*z^2)/a^2 - 20*a^2*z^2 + 
   8*a^4*z^2 + 40*z^4 - (12*z^4)/a^2 - 44*a^2*z^4 + 12*a^4*z^4 + 44*z^6 - 
   (13*z^6)/a^2 - 37*a^2*z^6 + 6*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 
   14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57355] -> -5*a^2 + 19*a^4 - 19*a^6 + 6*a^8 - 
   16*a^2*z^2 + 58*a^4*z^2 - 57*a^6*z^2 + 17*a^8*z^2 - 23*a^2*z^4 + 
   80*a^4*z^4 - 74*a^6*z^4 + 17*a^8*z^4 - 18*a^2*z^6 + 66*a^4*z^6 - 
   49*a^6*z^6 + 7*a^8*z^6 - 7*a^2*z^8 + 33*a^4*z^8 - 16*a^6*z^8 + a^8*z^8 - 
   a^2*z^10 + 9*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 57356] -> -2 + 4*a^2 + 5*a^4 - 10*a^6 + 4*a^8 - 
   5*z^2 + 10*a^2*z^2 + 11*a^4*z^2 - 23*a^6*z^2 + 8*a^8*z^2 - 6*z^4 + 
   12*a^2*z^4 + 12*a^4*z^4 - 23*a^6*z^4 + 5*a^8*z^4 - 4*z^6 + 10*a^2*z^6 + 
   10*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57357] -> 
  -4 + 13*a^2 - 9*a^4 - a^6 + 2*a^8 - 10*z^2 + 29*a^2*z^2 - 16*a^4*z^2 - 
   8*a^6*z^2 + 5*a^8*z^2 - 10*z^4 + 29*a^2*z^4 - 8*a^4*z^4 - 14*a^6*z^4 + 
   4*a^8*z^4 - 5*z^6 + 17*a^2*z^6 + 3*a^4*z^6 - 9*a^6*z^6 + a^8*z^6 - z^8 + 
   6*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57358] -> 2/a^8 - 8/a^6 + 9/a^4 - 2/a^2 - 2*z^2 + 
   (2*z^2)/a^10 - (3*z^2)/a^8 - (8*z^2)/a^6 + (15*z^2)/a^4 - z^2/a^2 - 
   3*z^4 + z^4/a^10 - (8*z^4)/a^8 + (4*z^4)/a^6 + (7*z^4)/a^4 + (4*z^4)/a^2 - 
   z^6 - (3*z^6)/a^8 + (9*z^6)/a^6 - z^6/a^4 + (6*z^6)/a^2 + (3*z^8)/a^6 - 
   (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 57359] -> 
  -2 - a^(-8) + a^(-6) + 2/a^4 - a^(-2) + 2*a^2 - 8*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (3*z^2)/a^4 - z^2/a^2 + 5*a^2*z^2 - 12*z^4 - z^4/a^8 + 
   (9*z^4)/a^6 - (13*z^4)/a^4 + (3*z^4)/a^2 + 4*a^2*z^4 - 8*z^6 + 
   (3*z^6)/a^6 - (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 57360] -> 
  -3/a^10 + 7/a^8 - 7/a^6 + 4/a^4 - (12*z^2)/a^10 + (39*z^2)/a^8 - 
   (38*z^2)/a^6 + (16*z^2)/a^4 - (13*z^4)/a^10 + (62*z^4)/a^8 - 
   (73*z^4)/a^6 + (25*z^4)/a^4 - (6*z^6)/a^10 + (44*z^6)/a^8 - (68*z^6)/a^6 + 
   (19*z^6)/a^4 - z^8/a^10 + (15*z^8)/a^8 - (34*z^8)/a^6 + (7*z^8)/a^4 + 
   (2*z^10)/a^8 - (9*z^10)/a^6 + z^10/a^4 - z^12/a^6, 
 Knot[15, Alternating, 57361] -> -3/a^10 + 6/a^8 - 3/a^6 - a^(-4) + 2/a^2 - 
   (6*z^2)/a^10 + (18*z^2)/a^8 - (6*z^2)/a^6 - (9*z^2)/a^4 + (7*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (10*z^4)/a^6 - (18*z^4)/a^4 + (9*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (15*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57362] -> -2/a^12 + 4/a^10 - 2/a^8 - a^(-4) + 2/a^2 - 
   (3*z^2)/a^12 + (13*z^2)/a^10 - (12*z^2)/a^8 + (7*z^2)/a^6 - (7*z^2)/a^4 + 
   (5*z^2)/a^2 - z^4/a^12 + (12*z^4)/a^10 - (21*z^4)/a^8 + (12*z^4)/a^6 - 
   (13*z^4)/a^4 + (4*z^4)/a^2 + (3*z^6)/a^10 - (14*z^6)/a^8 + (10*z^6)/a^6 - 
   (9*z^6)/a^4 + z^6/a^2 - (3*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + 
   z^10/a^6, Knot[15, Alternating, 57363] -> -3 + a^(-2) + 5*a^2 - 2*a^4 - 
   4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + 
   (5*z^4)/a^4 - (10*z^4)/a^2 + 15*a^2*z^4 - 4*a^4*z^4 - 5*z^6 + 
   (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 4*z^8 + z^8/a^4 - 
   (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57364] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + (2*z^2)/a^2 + 7*a^2*z^2 + 5*a^4*z^2 - 
   3*a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 7*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 
   11*z^6 + (4*z^6)/a^2 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57365] -> 
  5 - a^(-2) - 5*a^2 + 2*a^4 + 6*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 
   13*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - (5*z^4)/a^4 + (10*z^4)/a^2 - 15*a^2*z^4 + 
   4*a^4*z^4 + 5*z^6 - (4*z^6)/a^4 + (10*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 
   4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57366] -> -1 + 10*a^4 - 12*a^6 + 4*a^8 - 4*z^2 + 
   5*a^2*z^2 + 16*a^4*z^2 - 21*a^6*z^2 + 6*a^8*z^2 - 6*z^4 + 12*a^2*z^4 + 
   11*a^4*z^4 - 18*a^6*z^4 + 4*a^8*z^4 - 4*z^6 + 11*a^2*z^6 + 7*a^4*z^6 - 
   9*a^6*z^6 + a^8*z^6 - z^8 + 5*a^2*z^8 + 4*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + 
   a^4*z^10, Knot[15, Alternating, 57367] -> a^(-8) - 8/a^6 + 12/a^4 - 
   4/a^2 + (4*z^2)/a^8 - (28*z^2)/a^6 + (48*z^2)/a^4 - (18*z^2)/a^2 + 
   (6*z^4)/a^8 - (44*z^4)/a^6 + (81*z^4)/a^4 - (28*z^4)/a^2 + (4*z^6)/a^8 - 
   (34*z^6)/a^6 + (72*z^6)/a^4 - (20*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (35*z^8)/a^4 - (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 57368] -> -2 - a^(-8) + a^(-6) - 2/a^4 + 
   5/a^2 - 8*z^2 + z^2/a^8 - (5*z^2)/a^6 + (2*z^2)/a^4 + (15*z^2)/a^2 - 
   10*z^4 + (2*z^4)/a^8 - (12*z^4)/a^6 + (10*z^4)/a^4 + (21*z^4)/a^2 - 
   5*z^6 + z^6/a^8 - (8*z^6)/a^6 + (11*z^6)/a^4 + (16*z^6)/a^2 - z^8 - 
   (2*z^8)/a^6 + (5*z^8)/a^4 + (6*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57369] -> -2/a^10 + 4/a^8 - 5/a^4 + 4/a^2 - 
   (5*z^2)/a^10 + (20*z^2)/a^8 - (12*z^2)/a^6 - (12*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (27*z^4)/a^8 - (30*z^4)/a^6 - (15*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (15*z^6)/a^8 - (28*z^6)/a^6 - (11*z^6)/a^4 + (5*z^6)/a^2 + 
   (3*z^8)/a^8 - (12*z^8)/a^6 - (5*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - 
   z^10/a^4, Knot[15, Alternating, 57370] -> 9 - 2/a^2 - 10*a^2 + 4*a^4 + 
   28*z^2 - (7*z^2)/a^2 - 35*a^2*z^2 + 12*a^4*z^2 + 46*z^4 - (13*z^4)/a^2 - 
   51*a^2*z^4 + 13*a^4*z^4 + 45*z^6 - (13*z^6)/a^2 - 38*a^2*z^6 + 6*a^4*z^6 + 
   26*z^8 - (6*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 57371] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 6*z^2 - 25*a^2*z^2 + 38*a^4*z^2 - 13*a^6*z^2 + 
   13*z^4 - 45*a^2*z^4 + 52*a^4*z^4 - 13*a^6*z^4 + 13*z^6 - 45*a^2*z^6 + 
   38*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57372] -> 
  21 + 4/a^4 - 16/a^2 - 8*a^2 + 52*z^2 + (12*z^2)/a^4 - (44*z^2)/a^2 - 
   16*a^2*z^2 + 61*z^4 + (17*z^4)/a^4 - (60*z^4)/a^2 - 14*a^2*z^4 + 40*z^6 + 
   (14*z^6)/a^4 - (51*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - 
   (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57373] -> -5 - 2/a^4 + 7/a^2 - a^2 + 2*a^4 - 9*z^2 - 
   (5*z^2)/a^4 + (15*z^2)/a^2 - 9*a^2*z^2 + 5*a^4*z^2 - 3*z^4 - (6*z^4)/a^4 + 
   (16*z^4)/a^2 - 14*a^2*z^4 + 4*a^4*z^4 + 4*z^6 - (4*z^6)/a^4 + 
   (11*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57374] -> 
  -5 + a^(-2) + 7*a^2 - 2*a^6 - 13*z^2 + (4*z^2)/a^2 + 11*a^2*z^2 + 
   8*a^4*z^2 - 5*a^6*z^2 - 15*z^4 + (6*z^4)/a^2 + 4*a^2*z^4 + 14*a^4*z^4 - 
   4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 4*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57375] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   7*z^2 - (4*z^2)/a^6 + (10*z^2)/a^4 - (3*z^2)/a^2 + 3*a^2*z^2 - 9*z^4 - 
   (6*z^4)/a^6 + (16*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - 
   (4*z^6)/a^6 + (12*z^6)/a^4 + z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57376] -> 3 - 10*a^2 + 14*a^4 - 6*a^6 + 11*z^2 - 
   37*a^2*z^2 + 43*a^4*z^2 - 13*a^6*z^2 + 17*z^4 - 58*a^2*z^4 + 56*a^4*z^4 - 
   13*a^6*z^4 + 14*z^6 - 51*a^2*z^6 + 39*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 
   27*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57377] -> 13 + 4/a^4 - 12/a^2 - 4*a^2 + 
   40*z^2 + (12*z^2)/a^4 - (40*z^2)/a^2 - 12*a^2*z^2 + 55*z^4 + 
   (17*z^4)/a^4 - (59*z^4)/a^2 - 13*a^2*z^4 + 39*z^6 + (14*z^6)/a^4 - 
   (51*z^6)/a^2 - 6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57378] -> 4 - 2/a^4 + 3/a^2 - 7*a^2 + 3*a^4 + 6*z^2 - 
   (4*z^2)/a^4 + (10*z^2)/a^2 - 21*a^2*z^2 + 9*a^4*z^2 + z^4 - (3*z^4)/a^4 + 
   (13*z^4)/a^2 - 26*a^2*z^4 + 10*a^4*z^4 - 5*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   17*a^2*z^6 + 5*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 57379] -> 
  -2 + 2/a^8 - 5/a^6 + a^(-4) + 5/a^2 - 5*z^2 + (6*z^2)/a^8 - (13*z^2)/a^6 + 
   (14*z^2)/a^2 - 4*z^4 + (7*z^4)/a^8 - (17*z^4)/a^6 - (4*z^4)/a^4 + 
   (16*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 - (6*z^6)/a^4 + 
   (9*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - 
   z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57380] -> 
  -8 - a^(-4) + 5/a^2 + 7*a^2 - 2*a^4 - 19*z^2 - (3*z^2)/a^4 + (14*z^2)/a^2 + 
   7*a^2*z^2 + a^4*z^2 - 15*z^4 - (5*z^4)/a^4 + (16*z^4)/a^2 - 4*a^2*z^4 + 
   3*a^4*z^4 - 2*z^6 - (4*z^6)/a^4 + (11*z^6)/a^2 - 7*a^2*z^6 + a^4*z^6 + 
   3*z^8 - z^8/a^4 + (5*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57381] -> -6 + a^(-4) + 2/a^2 + 4*a^2 - 15*z^2 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 + z^2/a^2 + 6*a^2*z^2 - 16*z^4 - (5*z^4)/a^6 + 
   (10*z^4)/a^4 + (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (4*z^6)/a^6 + 
   (10*z^6)/a^4 + (5*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57382] -> 
  5 - 2/a^2 - a^2 - 3*a^6 + 2*a^8 + 9*z^2 - (4*z^2)/a^2 - 2*a^2*z^2 + 
   a^4*z^2 - 8*a^6*z^2 + 3*a^8*z^2 + 8*z^4 - (3*z^4)/a^2 + 3*a^4*z^4 - 
   7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 2*a^2*z^6 + 3*a^4*z^6 - 
   2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, Knot[15, Alternating, 57383] -> 
  -4 + a^(-8) - 8/a^4 + 12/a^2 - 8*z^2 + (4*z^2)/a^8 - (4*z^2)/a^6 - 
   (16*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + (6*z^4)/a^8 - (10*z^4)/a^6 - 
   (16*z^4)/a^4 + (24*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (10*z^6)/a^6 - 
   (11*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - (5*z^8)/a^6 - (5*z^8)/a^4 + 
   (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57384] -> 
  2/a^8 - 6/a^6 + 5/a^4 - 2*z^2 + (5*z^2)/a^8 - (15*z^2)/a^6 + (11*z^2)/a^4 + 
   (2*z^2)/a^2 - 3*z^4 + (6*z^4)/a^8 - (18*z^4)/a^6 + (8*z^4)/a^4 + 
   (7*z^4)/a^2 - z^6 + (4*z^6)/a^8 - (12*z^6)/a^6 + (7*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (3*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57385] -> 11 + 2/a^4 - 8/a^2 - 4*a^2 + 37*z^2 + 
   (9*z^2)/a^4 - (32*z^2)/a^2 - 12*a^2*z^2 + 54*z^4 + (16*z^4)/a^4 - 
   (54*z^4)/a^2 - 13*a^2*z^4 + 39*z^6 + (14*z^6)/a^4 - (50*z^6)/a^2 - 
   6*a^2*z^6 + 14*z^8 + (6*z^8)/a^4 - (27*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57386] -> 
  -3 - a^(-4) + a^(-2) + 11*a^2 - 9*a^4 + 2*a^6 - 8*z^2 - (2*z^2)/a^4 + 
   (4*z^2)/a^2 + 25*a^2*z^2 - 17*a^4*z^2 + 3*a^6*z^2 - 10*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 + 25*a^2*z^4 - 12*a^4*z^4 + a^6*z^4 - 8*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 + 13*a^2*z^6 - 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - 
   z^10, Knot[15, Alternating, 57387] -> -3 + 4*a^2 + 6*a^4 - 8*a^6 + 2*a^8 - 
   6*z^2 - z^2/a^2 + 12*a^2*z^2 + 13*a^4*z^2 - 15*a^6*z^2 + 3*a^8*z^2 - 
   3*z^4 - (2*z^4)/a^2 + 16*a^2*z^4 + 12*a^4*z^4 - 11*a^6*z^4 + a^8*z^4 + 
   z^6 - z^6/a^2 + 11*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 + z^8 + 3*a^2*z^8 + 
   2*a^4*z^8, Knot[15, Alternating, 57388] -> 1 - a^(-8) + 2/a^6 - a^(-4) - 
   4*z^2 - (2*z^2)/a^8 + (7*z^2)/a^6 - (6*z^2)/a^4 + (4*z^2)/a^2 + 
   2*a^2*z^2 - 9*z^4 - z^4/a^8 + (8*z^4)/a^6 - (12*z^4)/a^4 + (9*z^4)/a^2 + 
   3*a^2*z^4 - 7*z^6 + (3*z^6)/a^6 - (10*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 
   2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 57389] -> 3 - 3/a^6 + 8/a^4 - 7/a^2 + 9*z^2 - 
   (2*z^2)/a^8 + (2*z^2)/a^6 + (14*z^2)/a^4 - (22*z^2)/a^2 + 10*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 + (5*z^4)/a^4 - (27*z^4)/a^2 + 5*z^6 - 
   z^6/a^8 + (8*z^6)/a^6 - (4*z^6)/a^4 - (17*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (6*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57390] -> 2/a^12 - 6/a^10 + 3/a^8 + 2/a^6 + 
   (3*z^2)/a^12 - (13*z^2)/a^10 + (9*z^2)/a^8 + (9*z^2)/a^6 - (2*z^2)/a^4 + 
   (3*z^4)/a^12 - (13*z^4)/a^10 + (10*z^4)/a^8 + (14*z^4)/a^6 - (5*z^4)/a^4 + 
   z^6/a^12 - (8*z^6)/a^10 + (7*z^6)/a^8 + (11*z^6)/a^6 - (4*z^6)/a^4 - 
   (2*z^8)/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - z^8/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57391] -> -3/a^10 + 5/a^8 + a^(-6) - 6/a^4 + 4/a^2 - 
   (6*z^2)/a^10 + (18*z^2)/a^8 - (2*z^2)/a^6 - (17*z^2)/a^4 + (10*z^2)/a^2 - 
   (4*z^4)/a^10 + (20*z^4)/a^8 - (9*z^4)/a^6 - (23*z^4)/a^4 + (10*z^4)/a^2 - 
   z^6/a^10 + (10*z^6)/a^8 - (10*z^6)/a^6 - (16*z^6)/a^4 + (5*z^6)/a^2 + 
   (2*z^8)/a^8 - (5*z^8)/a^6 - (6*z^8)/a^4 + z^8/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57392] -> a^(-10) - 3/a^8 + a^(-6) + 2/a^4 + 
   (4*z^2)/a^10 - (10*z^2)/a^8 + (2*z^2)/a^6 + (11*z^2)/a^4 - (4*z^2)/a^2 + 
   (4*z^4)/a^10 - (16*z^4)/a^8 + (5*z^4)/a^6 + (17*z^4)/a^4 - (8*z^4)/a^2 + 
   z^6/a^10 - (10*z^6)/a^8 + (8*z^6)/a^6 + (14*z^6)/a^4 - (5*z^6)/a^2 - 
   (2*z^8)/a^8 + (5*z^8)/a^6 + (6*z^8)/a^4 - z^8/a^2 + z^10/a^6 + z^10/a^4, 
 Knot[15, Alternating, 57393] -> 2 - 2/a^12 + 4/a^10 - 3/a^8 + 3/a^6 - 
   2/a^4 - a^(-2) + 3*z^2 - z^2/a^12 + (8*z^2)/a^10 - (7*z^2)/a^8 + 
   (4*z^2)/a^6 - (2*z^2)/a^4 - (4*z^2)/a^2 + z^4 + (3*z^4)/a^10 - 
   (9*z^4)/a^8 + z^4/a^6 - z^4/a^4 - (6*z^4)/a^2 - (3*z^6)/a^8 + 
   (2*z^6)/a^6 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57394] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57395] -> 9 + a^(-6) - 2/a^4 - 3/a^2 - 
   4*a^2 + 21*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 
   22*z^4 + (8*z^4)/a^6 - (17*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + 
   (5*z^6)/a^6 - (14*z^6)/a^4 - (8*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57396] -> -2 + 4*a^2 + 5*a^4 - 10*a^6 + 4*a^8 - 
   7*z^2 + 14*a^2*z^2 + 9*a^4*z^2 - 23*a^6*z^2 + 8*a^8*z^2 - 9*z^4 + 
   20*a^2*z^4 + 9*a^4*z^4 - 23*a^6*z^4 + 5*a^8*z^4 - 5*z^6 + 15*a^2*z^6 + 
   9*a^4*z^6 - 11*a^6*z^6 + a^8*z^6 - z^8 + 6*a^2*z^8 + 5*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57397] -> 
  1 - a^(-2) + 4*a^2 - 2*a^4 - 3*a^6 + 2*a^8 + 3*z^2 - (3*z^2)/a^2 + 
   9*a^2*z^2 - 6*a^4*z^2 - 6*a^6*z^2 + 3*a^8*z^2 + 4*z^4 - (3*z^4)/a^2 + 
   10*a^2*z^4 - 4*a^4*z^4 - 6*a^6*z^4 + a^8*z^4 + 3*z^6 - z^6/a^2 + 
   7*a^2*z^6 + a^4*z^6 - 2*a^6*z^6 + z^8 + 2*a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 57398] -> -11 - 4/a^4 + 11/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 + z^2/a^6 - (8*z^2)/a^4 + (23*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 57399] -> 
  2 - 4/a^10 + 9/a^8 - 5/a^6 - a^(-2) + 5*z^2 - (4*z^2)/a^10 + (17*z^2)/a^8 - 
   (10*z^2)/a^6 - z^2/a^4 - (6*z^2)/a^2 + 4*z^4 - z^4/a^10 + (10*z^4)/a^8 - 
   (10*z^4)/a^6 - (5*z^4)/a^4 - (9*z^4)/a^2 + z^6 + (2*z^6)/a^8 - 
   (5*z^6)/a^6 - (4*z^6)/a^4 - (5*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 57400] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   13*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - 5*a^2*z^2 + 17*z^4 + (2*z^4)/a^6 - 
   (4*z^4)/a^4 - (5*z^4)/a^2 - 6*a^2*z^4 + 12*z^6 + z^6/a^6 - (6*z^6)/a^4 + 
   z^6/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + (3*z^8)/a^2 - a^2*z^8 + z^10 + 
   z^10/a^2, Knot[15, Alternating, 57401] -> 2 - 2/a^12 + 3/a^10 + a^(-8) - 
   2/a^6 - a^(-2) + 3*z^2 - z^2/a^12 + (6*z^2)/a^10 + z^2/a^8 - (4*z^2)/a^6 - 
   (3*z^2)/a^4 - (2*z^2)/a^2 + z^4 + (2*z^4)/a^10 - (2*z^4)/a^8 - 
   (6*z^4)/a^6 - (6*z^4)/a^4 - (3*z^4)/a^2 - z^6/a^8 - (2*z^6)/a^6 - 
   (2*z^6)/a^4 - z^6/a^2, Knot[15, Alternating, 57402] -> 
  5 + a^(-8) - 2/a^6 + a^(-4) - 2/a^2 - 2*a^2 + 9*z^2 + (3*z^2)/a^8 - 
   (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 57403] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 57404] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 57405] -> 2 - a^(-2) + 3*a^4 - 5*a^6 + 2*a^8 + 6*z^2 - 
   (3*z^2)/a^2 - a^2*z^2 + 5*a^4*z^2 - 9*a^6*z^2 + 3*a^8*z^2 + 7*z^4 - 
   (3*z^4)/a^2 + 4*a^4*z^4 - 7*a^6*z^4 + a^8*z^4 + 4*z^6 - z^6/a^2 + 
   2*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 + z^8 + a^2*z^8 + a^4*z^8, 
 Knot[15, Alternating, 57406] -> 5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 
   17*z^2 + z^2/a^6 - (2*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 24*z^4 + 
   (2*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 10*a^2*z^4 + 17*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57407] -> 
  2/a^10 - 9/a^8 + 10/a^6 - 2/a^4 - (10*z^2)/a^8 + (22*z^2)/a^6 - 
   (8*z^2)/a^4 + (2*z^2)/a^2 - (2*z^4)/a^10 + (2*z^4)/a^8 + (15*z^4)/a^6 - 
   (13*z^4)/a^4 + (5*z^4)/a^2 - z^6/a^10 + (6*z^6)/a^8 + z^6/a^6 - 
   (11*z^6)/a^4 + (4*z^6)/a^2 + (2*z^8)/a^8 - (3*z^8)/a^6 - (5*z^8)/a^4 + 
   z^8/a^2 - z^10/a^6 - z^10/a^4, Knot[15, Alternating, 57408] -> 
  -2 - 3/a^4 + 6/a^2 - z^2 - (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + 
   (5*z^2)/a^2 + 4*z^4 - (3*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - 
   (5*z^4)/a^2 + 4*z^6 - z^6/a^8 + (8*z^6)/a^6 - (5*z^6)/a^4 - (9*z^6)/a^2 + 
   z^8 + (2*z^8)/a^6 - (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57409] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 7*z^2 + 
   (2*z^2)/a^2 + 7*a^2*z^2 + 5*a^4*z^2 - 3*a^6*z^2 - 13*z^4 + (5*z^4)/a^2 + 
   7*a^2*z^4 + 8*a^4*z^4 - 3*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 + 7*a^4*z^6 - 
   a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57410] -> 5 - a^(-2) - 5*a^2 + 2*a^4 + 6*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 13*a^2*z^2 + 5*a^4*z^2 + 4*z^4 - (5*z^4)/a^4 + 
   (10*z^4)/a^2 - 15*a^2*z^4 + 4*a^4*z^4 + 5*z^6 - (4*z^6)/a^4 + 
   (10*z^6)/a^2 - 9*a^2*z^6 + a^4*z^6 + 4*z^8 - z^8/a^4 + (5*z^8)/a^2 - 
   2*a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57411] -> 
  -3 + a^(-2) + 5*a^2 - 2*a^4 - 4*z^2 + (2*z^2)/a^4 - (4*z^2)/a^2 + 
   12*a^2*z^2 - 5*a^4*z^2 - 3*z^4 + (5*z^4)/a^4 - (10*z^4)/a^2 + 15*a^2*z^4 - 
   4*a^4*z^4 - 5*z^6 + (4*z^6)/a^4 - (10*z^6)/a^2 + 9*a^2*z^6 - a^4*z^6 - 
   4*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57412] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 5*z^2 - 
   (2*z^2)/a^8 - z^2/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (13*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 57413] -> -4 + a^(-6) - 7/a^4 + 11/a^2 - 
   2*z^2 + (2*z^2)/a^6 - (13*z^2)/a^4 + (20*z^2)/a^2 - 3*a^2*z^2 + 9*z^4 + 
   (2*z^4)/a^6 - (12*z^4)/a^4 + (16*z^4)/a^2 - 6*a^2*z^4 + 11*z^6 + z^6/a^6 - 
   (7*z^6)/a^4 + (9*z^6)/a^2 - 4*a^2*z^6 + 5*z^8 - (2*z^8)/a^4 + 
   (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, Knot[15, Alternating, 57414] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (11*z^4)/a^8 + 
   z^4/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (4*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57415] -> -5 + 2/a^6 - 6/a^4 + 8/a^2 + 2*a^2 - 
   14*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (13*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (2*z^4)/a^6 - z^4/a^4 + (10*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - (3*z^6)/a^6 + 
   (5*z^6)/a^4 + (7*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (4*z^8)/a^4 + 
   (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57416] -> 
  26 + 5/a^4 - 20/a^2 - 10*a^2 + 73*z^2 + (17*z^2)/a^4 - (62*z^2)/a^2 - 
   23*a^2*z^2 + 86*z^4 + (25*z^4)/a^4 - (86*z^4)/a^2 - 19*a^2*z^4 + 52*z^6 + 
   (19*z^6)/a^4 - (70*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57417] -> -6 + a^(-2) + 11*a^2 - 5*a^4 - 16*z^2 + 
   (4*z^2)/a^2 + 21*a^2*z^2 - 3*a^4*z^2 - 2*a^6*z^2 - 18*z^4 + (6*z^4)/a^2 + 
   14*a^2*z^4 + 6*a^4*z^4 - 3*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 + a^2*z^6 + 
   7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 3*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57418] -> 7 + 2/a^6 - 6/a^4 + 2/a^2 - 
   4*a^2 + 18*z^2 + (6*z^2)/a^6 - (16*z^2)/a^4 + (4*z^2)/a^2 - 8*a^2*z^2 + 
   21*z^4 + (8*z^4)/a^6 - (19*z^4)/a^4 - z^4/a^2 - 5*a^2*z^4 + 11*z^6 + 
   (5*z^6)/a^6 - (14*z^6)/a^4 - (7*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57419] -> 3 - 2/a^4 + 2/a^2 - 2*a^2 + 29*z^2 + 
   z^2/a^4 - (13*z^2)/a^2 - 13*a^2*z^2 + 66*z^4 + (5*z^4)/a^4 - 
   (35*z^4)/a^2 - 24*a^2*z^4 + 66*z^6 + (4*z^6)/a^4 - (32*z^6)/a^2 - 
   19*a^2*z^6 + 34*z^8 + z^8/a^4 - (13*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57420] -> 
  5 - a^(-6) + 2/a^4 - 3/a^2 - 2*a^2 + 17*z^2 + z^2/a^6 - (2*z^2)/a^4 - 
   (5*z^2)/a^2 - 8*a^2*z^2 + 24*z^4 + (2*z^4)/a^6 - (9*z^4)/a^4 + z^4/a^2 - 
   10*a^2*z^4 + 17*z^6 + z^6/a^6 - (7*z^6)/a^4 + (6*z^6)/a^2 - 5*a^2*z^6 + 
   6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57421] -> -2/a^10 + 6/a^8 - 8/a^6 + 5/a^4 - 
   (5*z^2)/a^10 + (19*z^2)/a^8 - (20*z^2)/a^6 + (7*z^2)/a^4 + (2*z^2)/a^2 - 
   (4*z^4)/a^10 + (24*z^4)/a^8 - (28*z^4)/a^6 + (5*z^4)/a^2 - z^6/a^10 + 
   (14*z^6)/a^8 - (24*z^6)/a^6 - (5*z^6)/a^4 + (4*z^6)/a^2 + (3*z^8)/a^8 - 
   (11*z^8)/a^6 - (4*z^8)/a^4 + z^8/a^2 - (2*z^10)/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57422] -> -3/a^14 + 10/a^12 - 11/a^10 + a^(-8) + 
   4/a^6 - (7*z^2)/a^14 + (28*z^2)/a^12 - (31*z^2)/a^10 + (3*z^2)/a^8 + 
   (12*z^2)/a^6 - (5*z^4)/a^14 + (33*z^4)/a^12 - (41*z^4)/a^10 - z^4/a^8 + 
   (13*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (32*z^6)/a^10 - (7*z^6)/a^8 + 
   (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + z^8/a^6 - 
   (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 57423] -> 
  -4 + a^(-6) - 7/a^4 + 11/a^2 - 4*z^2 - (3*z^2)/a^6 + z^2/a^4 + 
   (10*z^2)/a^2 + 7*z^4 - (8*z^4)/a^6 + (26*z^4)/a^4 - (18*z^4)/a^2 + 
   12*z^6 - (5*z^6)/a^6 + (30*z^6)/a^4 - (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (13*z^8)/a^4 - (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57424] -> -2 - 3/a^4 + 6/a^2 - z^2 - 
   (2*z^2)/a^8 + (4*z^2)/a^6 - (3*z^2)/a^4 + (5*z^2)/a^2 + 4*z^4 - 
   (3*z^4)/a^8 + (10*z^4)/a^6 - (3*z^4)/a^4 - (5*z^4)/a^2 + 4*z^6 - z^6/a^8 + 
   (8*z^6)/a^6 - (5*z^6)/a^4 - (9*z^6)/a^2 + z^8 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57425] -> 2 + a^(-6) - a^(-4) - a^(-2) + 9*z^2 - 
   z^2/a^6 + (10*z^2)/a^4 - (20*z^2)/a^2 + 12*z^4 - (9*z^4)/a^6 + 
   (31*z^4)/a^4 - (42*z^4)/a^2 + 6*z^6 - (12*z^6)/a^6 + (39*z^6)/a^4 - 
   (36*z^6)/a^2 + z^8 - (6*z^8)/a^6 + (25*z^8)/a^4 - (14*z^8)/a^2 - 
   z^10/a^6 + (8*z^10)/a^4 - (2*z^10)/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57426] -> 1 + 8*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 
   24*z^4 + (4*z^4)/a^4 - (16*z^4)/a^2 - 8*a^2*z^4 + 26*z^6 + (8*z^6)/a^4 - 
   (25*z^6)/a^2 - 5*a^2*z^6 + 12*z^8 + (5*z^8)/a^4 - (19*z^8)/a^2 - a^2*z^8 + 
   2*z^10 + z^10/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57427] -> 4 + 3/a^4 - 6/a^2 + 2*z^2 - (2*z^2)/a^6 + 
   (10*z^2)/a^4 - (15*z^2)/a^2 + 2*a^2*z^2 - 6*z^4 - (5*z^4)/a^6 + 
   (14*z^4)/a^4 - (12*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - (4*z^6)/a^6 + 
   (11*z^6)/a^4 - z^6/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + (5*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^4 + z^10/a^2, Knot[15, Alternating, 57428] -> 
  -1 + 2*a^2 + 2*a^4 - 2*a^6 + 3*z^2 - 13*a^2*z^2 + 23*a^4*z^2 - 9*a^6*z^2 + 
   12*z^4 - 39*a^2*z^4 + 45*a^4*z^4 - 12*a^6*z^4 + 13*z^6 - 44*a^2*z^6 + 
   37*a^4*z^6 - 6*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 14*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57429] -> 
  21 + 4/a^4 - 16/a^2 - 8*a^2 + 64*z^2 + (16*z^2)/a^4 - (56*z^2)/a^2 - 
   20*a^2*z^2 + 81*z^4 + (25*z^4)/a^4 - (84*z^4)/a^2 - 18*a^2*z^4 + 51*z^6 + 
   (19*z^6)/a^4 - (70*z^6)/a^2 - 7*a^2*z^6 + 16*z^8 + (7*z^8)/a^4 - 
   (34*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (9*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57430] -> 3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 - z^2 + 
   z^2/a^2 - 4*a^2*z^2 + 12*a^4*z^2 - 5*a^6*z^2 - 9*z^4 + (5*z^4)/a^2 - 
   3*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57431] -> 9 + a^(-6) - 2/a^4 - 3/a^2 - 
   4*a^2 + 21*z^2 + (5*z^2)/a^6 - (10*z^2)/a^4 - (5*z^2)/a^2 - 8*a^2*z^2 + 
   22*z^4 + (8*z^4)/a^6 - (17*z^4)/a^4 - (6*z^4)/a^2 - 5*a^2*z^4 + 11*z^6 + 
   (5*z^6)/a^6 - (14*z^6)/a^4 - (8*z^6)/a^2 - a^2*z^6 + 2*z^8 + z^8/a^6 - 
   (6*z^8)/a^4 - (5*z^8)/a^2 - z^10/a^4 - z^10/a^2, 
 Knot[15, Alternating, 57432] -> -4 + a^(-8) - 8/a^4 + 12/a^2 - 8*z^2 + 
   (4*z^2)/a^8 - (4*z^2)/a^6 - (16*z^2)/a^4 + (26*z^2)/a^2 - 5*z^4 + 
   (6*z^4)/a^8 - (10*z^4)/a^6 - (16*z^4)/a^4 + (24*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (10*z^6)/a^6 - (11*z^6)/a^4 + (11*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (5*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57433] -> -7 + 2/a^2 + 10*a^2 - 4*a^4 - 8*z^2 + 
   (3*z^2)/a^2 + 7*a^2*z^2 + 10*z^4 - (3*z^4)/a^2 - 17*a^2*z^4 + 7*a^4*z^4 + 
   24*z^6 - (8*z^6)/a^2 - 25*a^2*z^6 + 5*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 
   12*a^2*z^8 + a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57434] -> -11 - 4/a^4 + 11/a^2 + 7*a^2 - 2*a^4 - 
   24*z^2 + z^2/a^6 - (8*z^2)/a^4 + (23*z^2)/a^2 + 14*a^2*z^2 - 3*a^4*z^2 - 
   22*z^4 + (2*z^4)/a^6 - (8*z^4)/a^4 + (20*z^4)/a^2 + 11*a^2*z^4 - a^4*z^4 - 
   12*z^6 + z^6/a^6 - (6*z^6)/a^4 + (10*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - 
   (2*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 57435] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - (2*z^2)/a^10 + (5*z^2)/a^8 + 
   (4*z^2)/a^6 - (15*z^2)/a^4 + (8*z^2)/a^2 - (5*z^4)/a^10 + (11*z^4)/a^8 + 
   z^4/a^6 - (18*z^4)/a^4 + (5*z^4)/a^2 - (4*z^6)/a^10 + (10*z^6)/a^8 + 
   (4*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (5*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57436] -> -2 + a^(-2) - a^2 + 7*a^4 - 4*a^6 - 8*z^2 + 
   (4*z^2)/a^2 - 3*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 13*z^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57437] -> -1 - a^(-6) + 2/a^4 - a^(-2) + 
   4*a^2 - 2*a^4 - 6*z^2 + (2*z^2)/a^4 + 10*a^2*z^2 - 3*a^4*z^2 - 11*z^4 + 
   (2*z^4)/a^6 - (2*z^4)/a^4 + (2*z^4)/a^2 + 10*a^2*z^4 - a^4*z^4 - 10*z^6 + 
   z^6/a^6 - (5*z^6)/a^4 + (3*z^6)/a^2 + 3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + 
   (3*z^8)/a^2 + z^10/a^2, Knot[15, Alternating, 57438] -> 
  -6 - a^(-8) + 3/a^6 - 6/a^4 + 9/a^2 + 2*a^2 - 13*z^2 - (2*z^2)/a^8 + 
   (8*z^2)/a^6 - (14*z^2)/a^4 + (19*z^2)/a^2 + 3*a^2*z^2 - 11*z^4 - 
   (3*z^4)/a^8 + (9*z^4)/a^6 - (14*z^4)/a^4 + (19*z^4)/a^2 + a^2*z^4 - 
   3*z^6 - z^6/a^8 + (7*z^6)/a^6 - (8*z^6)/a^4 + (12*z^6)/a^2 + (2*z^8)/a^6 - 
   (4*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, Knot[15, Alternating, 57439] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 + (6*z^2)/a^16 - 
   (25*z^2)/a^14 + (9*z^2)/a^12 + (20*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - 
   (19*z^4)/a^14 + (26*z^4)/a^12 + (28*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   (2*z^6)/a^14 + (21*z^6)/a^12 + (18*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (5*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 57440] -> 
  2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 3/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (11*z^2)/a^8 - (12*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 57441] -> 5 - 18*a^2 + 24*a^4 - 10*a^6 + 
   18*z^2 - 61*a^2*z^2 + 70*a^4*z^2 - 21*a^6*z^2 + 26*z^4 - 88*a^2*z^4 + 
   83*a^4*z^4 - 18*a^6*z^4 + 19*z^6 - 71*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 
   7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57442] -> 
  -1 + a^(-2) - 5*a^2 + 12*a^4 - 6*a^6 - 5*z^2 + (4*z^2)/a^2 - 13*a^2*z^2 + 
   28*a^4*z^2 - 9*a^6*z^2 - 10*z^4 + (6*z^4)/a^2 - 15*a^2*z^4 + 25*a^4*z^4 - 
   5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 11*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 
   5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57443] -> -2/a^10 + 7/a^8 - 6/a^6 - 2/a^4 + 4/a^2 - 
   (7*z^2)/a^10 + (21*z^2)/a^8 - (13*z^2)/a^6 - (11*z^2)/a^4 + (8*z^2)/a^2 - 
   (9*z^4)/a^10 + (25*z^4)/a^8 - (9*z^4)/a^6 - (17*z^4)/a^4 + (5*z^4)/a^2 - 
   (5*z^6)/a^10 + (16*z^6)/a^8 + (2*z^6)/a^6 - (10*z^6)/a^4 + z^6/a^2 - 
   z^8/a^10 + (6*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57444] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 14*z^2 - 
   (3*z^2)/a^6 + (4*z^2)/a^4 + (8*z^2)/a^2 + 5*a^2*z^2 - 16*z^4 - 
   (6*z^4)/a^6 + (12*z^4)/a^4 + (6*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (4*z^6)/a^6 + (11*z^6)/a^4 + (6*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (5*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57445] -> -3 - a^(-6) + 2/a^4 + a^(-2) + 2*a^2 - 
   11*z^2 - (6*z^2)/a^6 + (14*z^2)/a^4 - (3*z^2)/a^2 + 5*a^2*z^2 - 15*z^4 - 
   (9*z^4)/a^6 + (22*z^4)/a^4 - (2*z^4)/a^2 + 4*a^2*z^4 - 9*z^6 - 
   (5*z^6)/a^6 + (16*z^6)/a^4 + (4*z^6)/a^2 + a^2*z^6 - 2*z^8 - z^8/a^6 + 
   (6*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57446] -> -1 - 2/a^6 + 6/a^4 - 4/a^2 + 2*a^2 - 5*z^2 - 
   (2*z^2)/a^8 - z^2/a^6 + (13*z^2)/a^4 - (10*z^2)/a^2 + 3*a^2*z^2 - 6*z^4 - 
   (3*z^4)/a^8 + (2*z^4)/a^6 + (13*z^4)/a^4 - (6*z^4)/a^2 + a^2*z^4 - 2*z^6 - 
   z^6/a^8 + (3*z^6)/a^6 + (8*z^6)/a^4 + z^6/a^2 + z^8/a^6 + (2*z^8)/a^4 + 
   z^8/a^2, Knot[15, Alternating, 57447] -> -2 + 3/a^6 - 9/a^4 + 9/a^2 - 
   5*z^2 + (3*z^2)/a^8 - z^2/a^6 - (15*z^2)/a^4 + (18*z^2)/a^2 - 4*z^4 + 
   (6*z^4)/a^8 - (11*z^4)/a^6 - (11*z^4)/a^4 + (17*z^4)/a^2 - z^6 + 
   (4*z^6)/a^8 - (11*z^6)/a^6 - (7*z^6)/a^4 + (9*z^6)/a^2 + z^8/a^8 - 
   (5*z^8)/a^6 - (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57448] -> -3/a^8 + 8/a^6 - 8/a^4 + 4/a^2 - 2*z^2 + 
   z^2/a^10 - (5*z^2)/a^8 + (17*z^2)/a^6 - (21*z^2)/a^4 + (12*z^2)/a^2 - 
   3*z^4 - (2*z^4)/a^8 + (10*z^4)/a^6 - (21*z^4)/a^4 + (13*z^4)/a^2 - z^6 + 
   (2*z^6)/a^8 - (10*z^6)/a^4 + (8*z^6)/a^2 + z^8/a^8 - (3*z^8)/a^6 - 
   (4*z^8)/a^4 + (2*z^8)/a^2 - z^10/a^6 - z^10/a^4, 
 Knot[15, Alternating, 57449] -> 2 - a^(-10) + 2/a^8 + 2/a^6 - 5/a^4 + 
   a^(-2) + 3*z^2 - (3*z^2)/a^10 + (6*z^2)/a^8 + (4*z^2)/a^6 - (11*z^2)/a^4 - 
   (2*z^2)/a^2 + z^4 - (3*z^4)/a^10 + (5*z^4)/a^8 + (6*z^4)/a^6 - 
   (8*z^4)/a^4 - (5*z^4)/a^2 - z^6/a^10 + (3*z^6)/a^8 + (6*z^6)/a^6 - 
   (2*z^6)/a^2 + z^8/a^8 + (2*z^8)/a^6 + z^8/a^4, 
 Knot[15, Alternating, 57450] -> -5 - 2/a^4 + 6/a^2 + 2*a^2 - 13*z^2 - 
   (2*z^2)/a^8 + (6*z^2)/a^6 - (11*z^2)/a^4 + (17*z^2)/a^2 + 3*a^2*z^2 - 
   11*z^4 - (3*z^4)/a^8 + (11*z^4)/a^6 - (17*z^4)/a^4 + (21*z^4)/a^2 + 
   a^2*z^4 - 3*z^6 - z^6/a^8 + (8*z^6)/a^6 - (12*z^6)/a^4 + (13*z^6)/a^2 + 
   (2*z^8)/a^6 - (5*z^8)/a^4 + (3*z^8)/a^2 - z^10/a^4, 
 Knot[15, Alternating, 57451] -> -2/a^18 + 12/a^16 - 22/a^14 + 11/a^12 + 
   2/a^10 - z^2/a^18 + (18*z^2)/a^16 - (61*z^2)/a^14 + (46*z^2)/a^12 + 
   (11*z^2)/a^10 + (4*z^4)/a^16 - (55*z^4)/a^14 + (76*z^4)/a^12 + 
   (21*z^4)/a^10 - (3*z^6)/a^16 - (15*z^6)/a^14 + (60*z^6)/a^12 + 
   (18*z^6)/a^10 - z^8/a^16 + (2*z^8)/a^14 + (22*z^8)/a^12 + (7*z^8)/a^10 + 
   z^10/a^14 + (3*z^10)/a^12 + z^10/a^10, Knot[15, Alternating, 57452] -> 
  -a^(-18) + 6/a^16 - 9/a^14 - a^(-12) + 6/a^10 + (6*z^2)/a^16 - 
   (23*z^2)/a^14 + (5*z^2)/a^12 + (22*z^2)/a^10 + (2*z^2)/a^8 - z^4/a^16 - 
   (16*z^4)/a^14 + (18*z^4)/a^12 + (31*z^4)/a^10 + (5*z^4)/a^8 - z^6/a^16 - 
   z^6/a^14 + (16*z^6)/a^12 + (19*z^6)/a^10 + (4*z^6)/a^8 + z^8/a^14 + 
   (4*z^8)/a^12 + (4*z^8)/a^10 + z^8/a^8, Knot[15, Alternating, 57453] -> 
  3 - 14*a^2 + 22*a^4 - 10*a^6 + 13*z^2 - 49*a^2*z^2 + 65*a^4*z^2 - 
   21*a^6*z^2 + 22*z^4 - 75*a^2*z^4 + 79*a^4*z^4 - 18*a^6*z^4 + 18*z^6 - 
   65*a^2*z^6 + 50*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57454] -> -3 + a^(-2) - a^2 + 10*a^4 - 6*a^6 - 8*z^2 + 
   (4*z^2)/a^2 - 5*a^2*z^2 + 25*a^4*z^2 - 9*a^6*z^2 - 11*z^4 + (6*z^4)/a^2 - 
   10*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57455] -> -9 + 2/a^2 + 12*a^2 - 2*a^4 - 
   2*a^6 - 23*z^2 + (7*z^2)/a^2 + 22*a^2*z^2 + 5*a^4*z^2 - 5*a^6*z^2 - 
   25*z^4 + (9*z^4)/a^2 + 12*a^2*z^4 + 13*a^4*z^4 - 4*a^6*z^4 - 16*z^6 + 
   (5*z^6)/a^2 - 2*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57456] -> 
  -a^(-14) + 2/a^12 - a^(-10) - 3/a^8 + 4/a^6 - (3*z^2)/a^14 + (9*z^2)/a^12 - 
   (5*z^2)/a^10 - (4*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (12*z^4)/a^12 - (10*z^4)/a^10 - (7*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (4*z^6)/a^12 - (10*z^6)/a^10 - (9*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (3*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 57457] -> 
  2 - 10*a^2 + 17*a^4 - 8*a^6 + 13*z^2 - 47*a^2*z^2 + 61*a^4*z^2 - 
   20*a^6*z^2 + 24*z^4 - 79*a^2*z^4 + 80*a^4*z^4 - 18*a^6*z^4 + 19*z^6 - 
   69*a^2*z^6 + 51*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 34*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57458] -> -4 + a^(-2) + 3*a^2 + 5*a^4 - 4*a^6 - 
   15*z^2 + (6*z^2)/a^2 + 5*a^2*z^2 + 18*a^4*z^2 - 8*a^6*z^2 - 20*z^4 + 
   (9*z^4)/a^2 - 2*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   8*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57459] -> 
  -a^(-10) - 2/a^8 + 7/a^6 - 5/a^4 + 2/a^2 - z^2/a^12 - z^2/a^8 + 
   (16*z^2)/a^6 - (13*z^2)/a^4 + (5*z^2)/a^2 - z^4/a^10 + (3*z^4)/a^8 + 
   (13*z^4)/a^6 - (15*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + (5*z^6)/a^8 + 
   (7*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + 
   (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57460] -> 1 - 6*a^2 + 12*a^4 - 6*a^6 - 6*z^2 + 
   (4*z^2)/a^2 - 9*a^2*z^2 + 26*a^4*z^2 - 9*a^6*z^2 - 15*z^4 + (8*z^4)/a^2 - 
   9*a^2*z^4 + 24*a^4*z^4 - 5*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 9*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57461] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 
   11*z^2 + (2*z^2)/a^4 + 13*a^2*z^2 + 4*a^4*z^2 - 3*a^6*z^2 - 12*z^4 + 
   (3*z^4)/a^4 - (2*z^4)/a^2 + 7*a^2*z^4 + 6*a^4*z^4 - a^6*z^4 - 8*z^6 + 
   z^6/a^4 - (3*z^6)/a^2 - a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 57462] -> -5 + a^(-6) - 4/a^4 + 6/a^2 + 5*a^2 - 
   2*a^4 - 18*z^2 + (3*z^2)/a^6 - (11*z^2)/a^4 + (18*z^2)/a^2 + 13*a^2*z^2 - 
   3*a^4*z^2 - 22*z^4 + (3*z^4)/a^6 - (13*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 57463] -> -2/a^14 + 8/a^12 - 8/a^10 - 3/a^8 + 6/a^6 - 
   (3*z^2)/a^14 + (17*z^2)/a^12 - (17*z^2)/a^10 - (11*z^2)/a^8 + 
   (14*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (17*z^4)/a^10 - 
   (19*z^4)/a^8 + (9*z^4)/a^6 + (3*z^4)/a^4 + (4*z^6)/a^12 - (11*z^6)/a^10 - 
   (15*z^6)/a^8 + z^6/a^4 - (3*z^8)/a^10 - (4*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 57464] -> -7/a^8 + 16/a^6 - 12/a^4 + 4/a^2 - 
   z^2/a^12 + z^2/a^10 - (9*z^2)/a^8 + (33*z^2)/a^6 - (26*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^10 - (2*z^4)/a^8 + (27*z^4)/a^6 - (24*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 57465] -> 4 + a^(-4) - 4/a^2 + 2*a^4 - 
   2*a^6 + 6*z^2 + (3*z^2)/a^4 - (8*z^2)/a^2 + 7*a^4*z^2 - 3*a^6*z^2 + 
   2*z^4 + (3*z^4)/a^4 - (7*z^4)/a^2 - 2*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 
   2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - 
   a^2*z^8, Knot[15, Alternating, 57466] -> -2/a^14 + 7/a^12 - 10/a^10 + 
   4/a^8 + 2/a^6 - (7*z^2)/a^14 + (24*z^2)/a^12 - (27*z^2)/a^10 + 
   (8*z^2)/a^8 + (9*z^2)/a^6 - (5*z^4)/a^14 + (32*z^4)/a^12 - (37*z^4)/a^10 + 
   (3*z^4)/a^8 + (12*z^4)/a^6 - z^6/a^14 + (17*z^6)/a^12 - (31*z^6)/a^10 - 
   (6*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (13*z^8)/a^10 - (5*z^8)/a^8 + 
   z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, Knot[15, Alternating, 57467] -> 
  -2/a^14 + 6/a^12 - 6/a^10 - a^(-8) + 4/a^6 - (3*z^2)/a^14 + (11*z^2)/a^12 - 
   (9*z^2)/a^10 - (3*z^2)/a^8 + (8*z^2)/a^6 + (2*z^2)/a^4 - z^4/a^14 + 
   (10*z^4)/a^12 - (7*z^4)/a^10 - (9*z^4)/a^8 + (5*z^4)/a^6 + (3*z^4)/a^4 + 
   (3*z^6)/a^12 - (6*z^6)/a^10 - (10*z^6)/a^8 - z^6/a^6 + z^6/a^4 - 
   (2*z^8)/a^10 - (3*z^8)/a^8 - z^8/a^6, Knot[15, Alternating, 57468] -> 
  1 - 6*a^2 + 12*a^4 - 6*a^6 + 10*z^2 - 37*a^2*z^2 + 50*a^4*z^2 - 
   17*a^6*z^2 + 21*z^4 - 69*a^2*z^4 + 72*a^4*z^4 - 17*a^6*z^4 + 18*z^6 - 
   64*a^2*z^6 + 49*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 33*a^2*z^8 + 16*a^4*z^8 - 
   a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57469] -> -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 6*a^2*z^2 + 21*a^4*z^2 - 8*a^6*z^2 - 10*z^4 + (6*z^4)/a^2 - 
   10*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 10*z^6 + (4*z^6)/a^2 - 10*a^2*z^6 + 
   11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57470] -> -2/a^14 + 6/a^12 - 6/a^10 - 
   a^(-8) + 4/a^6 - (6*z^2)/a^14 + (20*z^2)/a^12 - (18*z^2)/a^10 - 
   (2*z^2)/a^8 + (12*z^2)/a^6 - (5*z^4)/a^14 + (28*z^4)/a^12 - 
   (28*z^4)/a^10 - (5*z^4)/a^8 + (13*z^4)/a^6 - z^6/a^14 + (16*z^6)/a^12 - 
   (26*z^6)/a^10 - (8*z^6)/a^8 + (6*z^6)/a^6 + (3*z^8)/a^12 - (12*z^8)/a^10 - 
   (5*z^8)/a^8 + z^8/a^6 - (2*z^10)/a^10 - z^10/a^8, 
 Knot[15, Alternating, 57471] -> -2/a^14 + 6/a^12 - 7/a^10 + 3/a^8 - a^(-6) + 
   2/a^4 - (3*z^2)/a^14 + (12*z^2)/a^12 - (13*z^2)/a^10 + (6*z^2)/a^8 - 
   (2*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (11*z^4)/a^10 - 
   (3*z^4)/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (7*z^6)/a^10 - (5*z^6)/a^8 - 
   (3*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (2*z^8)/a^8 - z^8/a^6, 
 Knot[15, Alternating, 57472] -> 5 - 18*a^2 + 24*a^4 - 10*a^6 + 20*z^2 - 
   65*a^2*z^2 + 72*a^4*z^2 - 21*a^6*z^2 + 29*z^4 - 96*a^2*z^4 + 86*a^4*z^4 - 
   18*a^6*z^4 + 20*z^6 - 76*a^2*z^6 + 52*a^4*z^6 - 7*a^6*z^6 + 7*z^8 - 
   35*a^2*z^8 + 16*a^4*z^8 - a^6*z^8 + z^10 - 9*a^2*z^10 + 2*a^4*z^10 - 
   a^2*z^12, Knot[15, Alternating, 57473] -> -4 + 2/a^2 - 2*a^2 + 11*a^4 - 
   6*a^6 - 15*z^2 + (8*z^2)/a^2 - 6*a^2*z^2 + 27*a^4*z^2 - 9*a^6*z^2 - 
   22*z^4 + (10*z^4)/a^2 - 10*a^2*z^4 + 25*a^4*z^4 - 5*a^6*z^4 - 16*z^6 + 
   (5*z^6)/a^2 - 10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 
   5*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57474] -> 
  -a^(-12) + 3/a^10 - 4/a^8 + 3/a^6 - 2/a^4 + 2/a^2 - z^2/a^12 + 
   (5*z^2)/a^10 - (7*z^2)/a^8 + (9*z^2)/a^6 - (9*z^2)/a^4 + (5*z^2)/a^2 - 
   (2*z^4)/a^8 + (8*z^4)/a^6 - (14*z^4)/a^4 + (4*z^4)/a^2 - (3*z^6)/a^10 + 
   (4*z^6)/a^8 + (6*z^6)/a^6 - (9*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (4*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57475] -> -5 + a^(-2) + 7*a^2 - 2*a^6 - 14*z^2 + 
   (5*z^2)/a^2 + 10*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 17*z^4 + (7*z^4)/a^2 + 
   2*a^2*z^4 + 15*a^4*z^4 - 4*a^6*z^4 - 12*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57476] -> -1 + 2*a^2 + 2*a^4 - 2*a^6 - 
   11*z^2 + (4*z^2)/a^2 + 7*a^2*z^2 + 9*a^4*z^2 - 5*a^6*z^2 - 19*z^4 + 
   (8*z^4)/a^2 + 5*a^2*z^4 + 14*a^4*z^4 - 4*a^6*z^4 - 15*z^6 + (5*z^6)/a^2 - 
   3*a^2*z^6 + 9*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 4*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57477] -> 
  2 - a^(-10) + 4/a^8 - 6/a^6 + 5/a^4 - 3/a^2 + 3*z^2 - (3*z^2)/a^10 + 
   (11*z^2)/a^8 - (12*z^2)/a^6 + (6*z^2)/a^4 - (6*z^2)/a^2 + z^4 - 
   (3*z^4)/a^10 + (9*z^4)/a^8 - (8*z^4)/a^6 + (2*z^4)/a^4 - (6*z^4)/a^2 - 
   z^6/a^10 + (4*z^6)/a^8 + (2*z^6)/a^4 - (2*z^6)/a^2 + z^8/a^8 + z^8/a^6 + 
   z^8/a^4, Knot[15, Alternating, 57478] -> -8 - a^(-4) + 5/a^2 + 7*a^2 - 
   2*a^4 - 22*z^2 + (2*z^2)/a^6 - (8*z^2)/a^4 + (17*z^2)/a^2 + 14*a^2*z^2 - 
   3*a^4*z^2 - 23*z^4 + (3*z^4)/a^6 - (12*z^4)/a^4 + (21*z^4)/a^2 + 
   11*a^2*z^4 - a^4*z^4 - 13*z^6 + z^6/a^6 - (8*z^6)/a^4 + (13*z^6)/a^2 + 
   3*a^2*z^6 - 3*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^2, 
 Knot[15, Alternating, 57479] -> -2*a^2 + 7*a^4 - 4*a^6 - 5*z^2 + 
   (3*z^2)/a^2 - 4*a^2*z^2 + 17*a^4*z^2 - 6*a^6*z^2 - 12*z^4 + (6*z^4)/a^2 - 
   5*a^2*z^4 + 17*a^4*z^4 - 4*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 6*a^2*z^6 + 
   9*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 4*a^2*z^8 + 2*a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57480] -> 3 + 2/a^4 - 6/a^2 + 6*a^2 - 
   4*a^4 + 3*z^2 + (7*z^2)/a^4 - (17*z^2)/a^2 + 19*a^2*z^2 - 8*a^4*z^2 - 
   3*z^4 + (9*z^4)/a^4 - (21*z^4)/a^2 + 22*a^2*z^4 - 5*a^4*z^4 - 8*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57481] -> 
  a^(-6) - 3/a^4 + 2/a^2 + 3*a^2 - 2*a^4 + 3*z^2 + (3*z^2)/a^6 - 
   (6*z^2)/a^4 + 6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^6 - (5*z^4)/a^4 - 
   (5*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + z^6/a^6 - (3*z^6)/a^4 - 
   (6*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - (2*z^8)/a^2, 
 Knot[15, Alternating, 57482] -> -2/a^14 + 5/a^12 - 3/a^10 - 2/a^8 + a^(-6) + 
   2/a^4 - (3*z^2)/a^14 + (11*z^2)/a^12 - (5*z^2)/a^10 - (7*z^2)/a^8 + 
   (3*z^2)/a^6 + (5*z^2)/a^4 - z^4/a^14 + (10*z^4)/a^12 - (6*z^4)/a^10 - 
   (13*z^4)/a^8 + z^4/a^6 + (4*z^4)/a^4 + (3*z^6)/a^12 - (6*z^6)/a^10 - 
   (11*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (2*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 57483] -> -2 + a^(-4) - 2/a^2 + 8*a^2 - 
   4*a^4 - 4*z^2 + (6*z^2)/a^4 - (12*z^2)/a^2 + 21*a^2*z^2 - 8*a^4*z^2 - 
   7*z^4 + (9*z^4)/a^4 - (19*z^4)/a^2 + 23*a^2*z^4 - 5*a^4*z^4 - 9*z^6 + 
   (5*z^6)/a^4 - (15*z^6)/a^2 + 11*a^2*z^6 - a^4*z^6 - 5*z^8 + z^8/a^4 - 
   (6*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57484] -> 
  3 - a^(-2) - 3*a^2 + 4*a^4 - 2*a^6 + 5*z^2 + (2*z^2)/a^4 - (5*z^2)/a^2 - 
   4*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 + 2*z^4 + (3*z^4)/a^4 - (6*z^4)/a^2 - 
   3*a^2*z^4 + 7*a^4*z^4 - a^6*z^4 - 2*z^6 + z^6/a^4 - (4*z^6)/a^2 - 
   3*a^2*z^6 + 2*a^4*z^6 - z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 57485] -> 2 + a^(-4) - 3/a^2 + 3*a^2 - 2*a^4 + 5*z^2 + 
   (2*z^2)/a^6 - z^2/a^4 - (7*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + 4*z^4 + 
   (3*z^4)/a^6 - (3*z^4)/a^4 - (9*z^4)/a^2 + 6*a^2*z^4 - a^4*z^4 - z^6 + 
   z^6/a^6 - (3*z^6)/a^4 - (7*z^6)/a^2 + 2*a^2*z^6 - z^8 - z^8/a^4 - 
   (2*z^8)/a^2, Knot[15, Alternating, 57486] -> 
  5 + a^(-8) - 2/a^6 + a^(-4) - 2/a^2 - 2*a^2 + 9*z^2 + (3*z^2)/a^8 - 
   (6*z^2)/a^6 + (2*z^2)/a^4 - (4*z^2)/a^2 - 3*a^2*z^2 + 7*z^4 + 
   (3*z^4)/a^8 - (7*z^4)/a^6 - (4*z^4)/a^2 - a^2*z^4 + 2*z^6 + z^6/a^8 - 
   (4*z^6)/a^6 - (2*z^6)/a^4 - (3*z^6)/a^2 - z^8/a^6 - z^8/a^4 - z^8/a^2, 
 Knot[15, Alternating, 57487] -> -6 + 2/a^2 + 4*a^2 + 5*a^4 - 4*a^6 - 
   14*z^2 + (6*z^2)/a^2 + a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 - 15*z^4 + 
   (7*z^4)/a^2 - 8*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 
   10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57488] -> 
  -a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 8/a^4 + 4/a^2 - z^2/a^12 + 
   (6*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - (22*z^2)/a^4 + (8*z^2)/a^2 - 
   (7*z^4)/a^8 + (22*z^4)/a^6 - (23*z^4)/a^4 + (5*z^4)/a^2 - (3*z^6)/a^10 + 
   (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + z^6/a^2 - z^8/a^10 + 
   (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + z^10/a^6, 
 Knot[15, Alternating, 57489] -> -2/a^14 + 7/a^12 - 4/a^10 - 8/a^8 + 8/a^6 - 
   (3*z^2)/a^14 + (16*z^2)/a^12 - (12*z^2)/a^10 - (16*z^2)/a^8 + 
   (12*z^2)/a^6 + (4*z^2)/a^4 - z^4/a^14 + (14*z^4)/a^12 - (17*z^4)/a^10 - 
   (18*z^4)/a^8 + (4*z^4)/a^6 + (4*z^4)/a^4 + (4*z^6)/a^12 - (12*z^6)/a^10 - 
   (12*z^6)/a^8 - (2*z^6)/a^6 + z^6/a^4 - (3*z^8)/a^10 - (3*z^8)/a^8 - 
   z^8/a^6, Knot[15, Alternating, 57490] -> -a^(-18) + 5/a^16 - 5/a^14 - 
   6/a^12 + 8/a^10 + (5*z^2)/a^16 - (18*z^2)/a^14 + (20*z^2)/a^10 + 
   (4*z^2)/a^8 - z^4/a^16 - (14*z^4)/a^14 + (17*z^4)/a^12 + (24*z^4)/a^10 + 
   (8*z^4)/a^8 - z^6/a^16 - z^6/a^14 + (16*z^6)/a^12 + (14*z^6)/a^10 + 
   (5*z^6)/a^8 + z^8/a^14 + (4*z^8)/a^12 + (3*z^8)/a^10 + z^8/a^8, 
 Knot[15, Alternating, 57491] -> -7/a^8 + 16/a^6 - 12/a^4 + 4/a^2 - 
   z^2/a^12 + z^2/a^10 - (9*z^2)/a^8 + (33*z^2)/a^6 - (26*z^2)/a^4 + 
   (8*z^2)/a^2 - z^4/a^10 - (2*z^4)/a^8 + (27*z^4)/a^6 - (24*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^10 + (4*z^6)/a^8 + (13*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 57492] -> 6 - 22*a^2 + 29*a^4 - 12*a^6 + 
   25*z^2 - 83*a^2*z^2 + 93*a^4*z^2 - 28*a^6*z^2 + 37*z^4 - 122*a^2*z^4 + 
   111*a^4*z^4 - 23*a^6*z^4 + 25*z^6 - 95*a^2*z^6 + 64*a^4*z^6 - 8*a^6*z^6 + 
   8*z^8 - 42*a^2*z^8 + 18*a^4*z^8 - a^6*z^8 + z^10 - 10*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57493] -> 
  -3 + 2/a^2 - 6*a^2 + 16*a^4 - 8*a^6 - 16*z^2 + (9*z^2)/a^2 - 11*a^2*z^2 + 
   36*a^4*z^2 - 12*a^6*z^2 - 25*z^4 + (12*z^4)/a^2 - 14*a^2*z^4 + 
   32*a^4*z^4 - 6*a^6*z^4 - 19*z^6 + (6*z^6)/a^2 - 13*a^2*z^6 + 13*a^4*z^6 - 
   a^6*z^6 - 7*z^8 + z^8/a^2 - 6*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57494] -> a^(-2) - 9*a^2 + 17*a^4 - 8*a^6 - 7*z^2 + 
   (6*z^2)/a^2 - 19*a^2*z^2 + 38*a^4*z^2 - 12*a^6*z^2 - 15*z^4 + 
   (9*z^4)/a^2 - 21*a^2*z^4 + 33*a^4*z^4 - 6*a^6*z^4 - 14*z^6 + (5*z^6)/a^2 - 
   15*a^2*z^6 + 13*a^4*z^6 - a^6*z^6 - 6*z^8 + z^8/a^2 - 6*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57495] -> 
  -9 + 3/a^2 + 7*a^2 + 4*a^4 - 4*a^6 - 17*z^2 + (2*z^2)/a^4 + (3*z^2)/a^2 + 
   11*a^2*z^2 + 10*a^4*z^2 - 4*a^6*z^2 - 16*z^4 + (3*z^4)/a^4 - z^4/a^2 + 
   4*a^2*z^4 + 8*a^4*z^4 - a^6*z^4 - 9*z^6 + z^6/a^4 - (3*z^6)/a^2 - 
   2*a^2*z^6 + 2*a^4*z^6 - 2*z^8 - z^8/a^2 - a^2*z^8, 
 Knot[15, Alternating, 57496] -> -a^(-12) + 5/a^10 - 10/a^8 + 11/a^6 - 
   8/a^4 + 4/a^2 - z^2/a^12 + (6*z^2)/a^10 - (16*z^2)/a^8 + (25*z^2)/a^6 - 
   (22*z^2)/a^4 + (8*z^2)/a^2 - (7*z^4)/a^8 + (22*z^4)/a^6 - (23*z^4)/a^4 + 
   (5*z^4)/a^2 - (3*z^6)/a^10 + (3*z^6)/a^8 + (12*z^6)/a^6 - (11*z^6)/a^4 + 
   z^6/a^2 - z^8/a^10 + (4*z^8)/a^8 + (5*z^8)/a^6 - (2*z^8)/a^4 + z^10/a^8 + 
   z^10/a^6, Knot[15, Alternating, 57497] -> -6 + 2/a^2 + 4*a^2 + 5*a^4 - 
   4*a^6 - 14*z^2 + (6*z^2)/a^2 + a^2*z^2 + 20*a^4*z^2 - 8*a^6*z^2 - 15*z^4 + 
   (7*z^4)/a^2 - 8*a^2*z^4 + 23*a^4*z^4 - 5*a^6*z^4 - 11*z^6 + (4*z^6)/a^2 - 
   10*a^2*z^6 + 11*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 5*a^2*z^8 + 
   2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57498] -> 
  -a^(-10) + a^(-8) + a^(-6) - 2/a^4 + 2/a^2 + z^2 + (7*z^2)/a^6 - 
   (8*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + (8*z^4)/a^6 - (13*z^4)/a^4 + 
   z^4/a^2 + z^6 + (2*z^6)/a^8 + (3*z^6)/a^6 - (8*z^6)/a^4 - z^8/a^6 - 
   (3*z^8)/a^4 - z^8/a^2, Knot[15, Alternating, 57499] -> 
  -4 + 2/a^2 + 5*a^2 - 3*a^4 + a^6 - 17*z^2 - (3*z^2)/a^4 + (10*z^2)/a^2 + 
   14*a^2*z^2 - 7*a^4*z^2 + a^6*z^2 - 23*z^4 - (2*z^4)/a^4 + (14*z^4)/a^2 + 
   18*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 16*z^6 - z^6/a^4 + (7*z^6)/a^2 + 
   10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 3*a^2*z^8 - z^10, 
 Knot[15, Alternating, 57500] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - (7*z^4)/a^2 + 8*z^6 - 
   (4*z^6)/a^6 + (20*z^6)/a^4 - (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57501] -> 3 - a^(-6) + 2/a^4 - 2/a^2 - 
   a^2 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - (4*z^2)/a^2 - a^2*z^2 - 2*z^4 - 
   (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 - z^6/a^6 + 
   (6*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - 
   (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57502] -> 
  7 - 3/a^2 - 3*a^2 + 11*z^2 - (4*z^2)/a^2 - 4*a^2*z^2 + 18*z^4 - 
   (5*z^4)/a^2 - 13*a^2*z^4 + 4*a^4*z^4 + 21*z^6 - (4*z^6)/a^2 - 24*a^2*z^6 + 
   8*a^4*z^6 + 11*z^8 - z^8/a^2 - 19*a^2*z^8 + 5*a^4*z^8 + 2*z^10 - 
   7*a^2*z^10 + a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57503] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 6*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   4*a^2*z^2 - a^4*z^2 - 3*z^4 - (2*z^4)/a^4 + (7*z^4)/a^2 - 2*a^2*z^4 + 
   2*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 
   3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57504] -> 7 - 3/a^2 - 3*a^2 + 31*z^2 + (4*z^2)/a^4 - 
   (20*z^2)/a^2 - 12*a^2*z^2 + 62*z^4 + (8*z^4)/a^4 - (41*z^4)/a^2 - 
   21*a^2*z^4 + 62*z^6 + (5*z^6)/a^4 - (36*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + 
   z^8/a^4 - (14*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 57505] -> 2 - a^(-2) + a^2 - a^4 + 10*z^2 + 
   (2*z^2)/a^4 - (9*z^2)/a^2 + 2*a^2*z^2 - 3*a^4*z^2 + 15*z^4 + (3*z^4)/a^4 - 
   (14*z^4)/a^2 + 7*a^2*z^4 - 5*a^4*z^4 + 11*z^6 + z^6/a^4 - (9*z^6)/a^2 + 
   9*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + 
   a^2*z^10, Knot[15, Alternating, 57506] -> 5*a^4 - 6*a^6 + 2*a^8 - 
   6*a^2*z^2 + 25*a^4*z^2 - 27*a^6*z^2 + 9*a^8*z^2 - 11*a^2*z^4 + 
   47*a^4*z^4 - 56*a^6*z^4 + 18*a^8*z^4 - 6*a^2*z^6 + 40*a^4*z^6 - 
   58*a^6*z^6 + 17*a^8*z^6 - a^2*z^8 + 15*a^4*z^8 - 32*a^6*z^8 + 7*a^8*z^8 + 
   2*a^4*z^10 - 9*a^6*z^10 + a^8*z^10 - a^6*z^12, 
 Knot[15, Alternating, 57507] -> 2*a^2 - 2*a^6 + a^8 - 2*z^2 + 4*a^2*z^2 + 
   5*a^4*z^2 - 12*a^6*z^2 + 5*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 4*a^4*z^4 - 
   20*a^6*z^4 + 8*a^8*z^4 - z^6 + 8*a^2*z^6 - 3*a^4*z^6 - 15*a^6*z^6 + 
   5*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 6*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 57508] -> 13 - 5/a^2 - 9*a^2 + 2*a^4 + 
   30*z^2 - (9*z^2)/a^2 - 25*a^2*z^2 + 7*a^4*z^2 + 40*z^4 - (9*z^4)/a^2 - 
   42*a^2*z^4 + 13*a^4*z^4 + 32*z^6 - (5*z^6)/a^2 - 44*a^2*z^6 + 13*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57509] -> 
  2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 7*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 
   11*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + (6*z^4)/a^2 - 16*a^2*z^4 + 
   6*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57510] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - z^6/a^6 + (6*z^6)/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57511] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + 
   (6*z^2)/a^8 - (25*z^2)/a^6 + (31*z^2)/a^4 - (9*z^2)/a^2 + (8*z^4)/a^8 - 
   (36*z^4)/a^6 + (46*z^4)/a^4 - (14*z^4)/a^2 + (5*z^6)/a^8 - (31*z^6)/a^6 + 
   (45*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57512] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   2*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57513] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 8*z^2 - 
   (2*z^2)/a^4 + (7*z^2)/a^2 + 3*a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + 
   (8*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57514] -> 3 - a^(-2) - a^2 + 9*z^2 + 
   (2*z^2)/a^4 - (7*z^2)/a^2 - 3*a^2*z^2 + 22*z^4 + (5*z^4)/a^4 - 
   (19*z^4)/a^2 - 7*a^2*z^4 + 29*z^6 + (4*z^6)/a^4 - (22*z^6)/a^2 - 
   9*a^2*z^6 + 20*z^8 + z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57515] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - z^2 + (3*z^2)/a^6 - (9*z^2)/a^4 + 
   (8*z^2)/a^2 + 8*z^4 - (3*z^4)/a^6 + (11*z^4)/a^4 - (18*z^4)/a^2 + 12*z^6 - 
   (4*z^6)/a^6 + (23*z^6)/a^4 - (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + 
   (12*z^8)/a^4 - (25*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (8*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57516] -> 3 + a^(-6) - 2/a^4 - a^2 + 
   6*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + z^4 - (2*z^4)/a^6 + 
   (8*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - z^6/a^6 + (7*z^6)/a^4 - 
   (8*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (4*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 57517] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 5*z^2 + 13*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 
   2*z^4 - 8*a^2*z^4 + 21*a^4*z^4 - 9*a^6*z^4 + 4*z^6 - 22*a^2*z^6 + 
   37*a^4*z^6 - 12*a^6*z^6 + z^8 - 12*a^2*z^8 + 25*a^4*z^8 - 6*a^6*z^8 - 
   2*a^2*z^10 + 8*a^4*z^10 - a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 57518] -> 2 - a^(-2) + a^2 - a^4 + 5*z^2 - 
   (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 2*a^6*z^2 + z^4/a^2 - 4*a^2*z^4 + 
   12*a^4*z^4 - 5*a^6*z^4 - 5*z^6 + z^6/a^2 + a^2*z^6 + 11*a^4*z^6 - 
   4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57519] -> -2 - 3/a^4 + 6/a^2 - 3*z^2 - (3*z^2)/a^4 + 
   (9*z^2)/a^2 + 3*z^4 - (4*z^4)/a^6 + (11*z^4)/a^4 - (7*z^4)/a^2 + 8*z^6 - 
   (4*z^6)/a^6 + (20*z^6)/a^4 - (23*z^6)/a^2 + 5*z^8 - z^8/a^6 + 
   (11*z^8)/a^4 - (19*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - 
   z^12/a^2, Knot[15, Alternating, 57520] -> -2 - 3/a^4 + 6/a^2 - 7*z^2 + 
   z^2/a^6 - (7*z^2)/a^4 + (15*z^2)/a^2 + a^2*z^2 - 10*z^4 - z^4/a^6 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 3*a^2*z^4 - 8*z^6 - z^6/a^6 + (4*z^6)/a^4 + 
   (3*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (2*z^8)/a^2 + a^2*z^8 - 
   z^10 - z^10/a^2, Knot[15, Alternating, 57521] -> 
  3 - a^(-6) + 2/a^4 - 2/a^2 - a^2 + 4*z^2 - z^2/a^6 + (4*z^2)/a^4 - 
   (4*z^2)/a^2 - a^2*z^2 - 2*z^4 - (2*z^4)/a^6 + (6*z^4)/a^4 - (3*z^4)/a^2 + 
   2*a^2*z^4 - 6*z^6 - z^6/a^6 + (6*z^6)/a^4 - (3*z^6)/a^2 + 3*a^2*z^6 - 
   4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57522] -> 2 - a^(-2) + a^2 - a^4 - z^2/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 - 4*z^4 + z^4/a^2 + 9*a^2*z^4 - a^4*z^4 - a^6*z^4 - 
   5*z^6 + z^6/a^2 + 6*a^2*z^6 + 3*a^4*z^6 - 2*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   3*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57523] -> 
  -1 + a^(-2) + a^2 + 3*z^2 - 8*a^2*z^2 + 4*a^4*z^2 + 20*z^4 - (4*z^4)/a^2 - 
   32*a^2*z^4 + 12*a^4*z^4 + 25*z^6 - (4*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 
   12*z^8 - z^8/a^2 - 26*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57524] -> 
  -6 + 3/a^2 + 5*a^2 - a^4 - 11*z^2 - z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + 
   a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 
   7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57525] -> 8 + a^(-4) - 5/a^2 - 3*a^2 + 35*z^2 + 
   (8*z^2)/a^4 - (29*z^2)/a^2 - 12*a^2*z^2 + 60*z^4 + (10*z^4)/a^4 - 
   (47*z^4)/a^2 - 19*a^2*z^4 + 54*z^6 + (5*z^6)/a^4 - (35*z^6)/a^2 - 
   15*a^2*z^6 + 28*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57526] -> 
  1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + z^2/a^6 - z^2/a^4 - 
   (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - (5*z^4)/a^4 + 
   (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (7*z^6)/a^2 + 
   5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, 
 Knot[15, Alternating, 57527] -> 11 - 4/a^2 - 8*a^2 + 2*a^4 + 33*z^2 - 
   (10*z^2)/a^2 - 30*a^2*z^2 + 9*a^4*z^2 + 46*z^4 - (10*z^4)/a^2 - 
   51*a^2*z^4 + 16*a^4*z^4 + 34*z^6 - (5*z^6)/a^2 - 49*a^2*z^6 + 14*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57528] -> 
  -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 3*z^2 + 7*a^2*z^2 + 3*a^4*z^2 - 
   10*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 9*a^2*z^4 + 4*a^4*z^4 - 16*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 7*a^2*z^6 - a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 
   2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 57529] -> 3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 2*z^2 - 
   (3*z^2)/a^4 + (7*z^2)/a^2 - 9*a^2*z^2 + 4*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + 
   (12*z^4)/a^2 - 13*a^2*z^4 + 6*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 
   11*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 57530] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57531] -> -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 3*z^2 + 
   5*a^2*z^2 + 8*a^4*z^2 - 12*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 
   8*a^4*z^4 - 17*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^6*z^6 + 
   4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - 
   a^6*z^10, Knot[15, Alternating, 57532] -> 5 - a^(-4) - 4*a^2 + a^4 + 
   7*z^2 - (2*z^2)/a^4 + (3*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - 
   (2*z^4)/a^4 + (7*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 - z^6/a^4 + 
   (6*z^6)/a^2 - 8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57533] -> 
  -1 + a^(-8) - 4/a^6 + 3/a^4 + 2/a^2 - 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + 
   (5*z^2)/a^4 + (6*z^2)/a^2 - 4*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + 
   (4*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + 
   (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + 
   z^10/a^2, Knot[15, Alternating, 57534] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 
   15*z^2 - (2*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 
   17*z^4 - z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 
   11*z^6 + (3*z^6)/a^2 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 57535] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 - 
   2*a^2*z^4 + 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - 3*a^2*z^6 + 
   4*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57536] -> a^(-10) - 5/a^8 + 5/a^6 - (6*z^2)/a^8 + 
   (15*z^2)/a^6 - (7*z^2)/a^4 + (3*z^2)/a^2 + z^4 - z^4/a^10 + (13*z^4)/a^6 - 
   (13*z^4)/a^4 + (3*z^4)/a^2 + z^6 + (2*z^6)/a^8 + (3*z^6)/a^6 - 
   (9*z^6)/a^4 - z^8/a^6 - (3*z^8)/a^4 - z^8/a^2, 
 Knot[15, Alternating, 57537] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57538] -> a^4 + a^6 + a^8 - 3*a^10 + 
   a^12 - 2*a^4*z^2 + 9*a^6*z^2 + 5*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - 
   a^2*z^4 - 5*a^4*z^4 + 15*a^6*z^4 + 9*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - 
   a^2*z^6 - a^4*z^6 + 12*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 
   4*a^6*z^8 + 3*a^8*z^8, Knot[15, Alternating, 57539] -> 
  -1 + 3*a^2 + a^4 - 3*a^6 + a^8 - 3*z^2 + 5*a^2*z^2 + 8*a^4*z^2 - 
   12*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 8*a^2*z^4 + 8*a^4*z^4 - 17*a^6*z^4 + 
   6*a^8*z^4 - z^6 + 7*a^2*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 
   3*a^4*z^8 - 5*a^6*z^8 + a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 57540] -> 7 - 3/a^2 - 3*a^2 + 33*z^2 + (6*z^2)/a^4 - 
   (24*z^2)/a^2 - 12*a^2*z^2 + 59*z^4 + (9*z^4)/a^4 - (43*z^4)/a^2 - 
   19*a^2*z^4 + 54*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + 
   z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 57541] -> a^(-8) - 7/a^6 + 10/a^4 - 3/a^2 + 
   (5*z^2)/a^8 - (23*z^2)/a^6 + (34*z^2)/a^4 - (11*z^2)/a^2 + (8*z^4)/a^8 - 
   (38*z^4)/a^6 + (54*z^4)/a^4 - (17*z^4)/a^2 + (5*z^6)/a^8 - (32*z^6)/a^6 + 
   (50*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (27*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57542] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + a^(-2) - 
   4*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (9*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57543] -> 1 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + (9*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 
   8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57544] -> 2 - a^(-2) + a^2 - a^4 - 2*z^2 + 6*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57545] -> -1 + a^(-2) + a^2 + 3*z^2 - 8*a^2*z^2 + 
   4*a^4*z^2 + 20*z^4 - (4*z^4)/a^2 - 32*a^2*z^4 + 12*a^4*z^4 + 25*z^6 - 
   (4*z^6)/a^2 - 42*a^2*z^6 + 13*a^4*z^6 + 12*z^8 - z^8/a^2 - 26*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57546] -> 1 - 2/a^4 + 3/a^2 - a^2 + 10*z^2 - z^2/a^4 - 
   z^2/a^2 - 5*a^2*z^2 + 33*z^4 + (4*z^4)/a^4 - (19*z^4)/a^2 - 12*a^2*z^4 + 
   42*z^6 + (4*z^6)/a^4 - (25*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - 
   (12*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 57547] -> -6 + 3/a^2 + 5*a^2 - a^4 - 11*z^2 - 
   z^2/a^4 + (6*z^2)/a^2 + 3*a^2*z^2 + a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 7*a^2*z^4 + 5*a^4*z^4 - 7*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   10*a^2*z^6 + 4*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 57548] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 
   5*a^4*z^4 + 5*z^6 + z^6/a^4 - (7*z^6)/a^2 + 10*a^2*z^6 - 4*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57549] -> -2 + 2/a^6 - 7/a^4 + 8/a^2 - z^2 + 
   (3*z^2)/a^6 - (9*z^2)/a^4 + (8*z^2)/a^2 + 8*z^4 - (3*z^4)/a^6 + 
   (11*z^4)/a^4 - (18*z^4)/a^2 + 12*z^6 - (4*z^6)/a^6 + (23*z^6)/a^4 - 
   (36*z^6)/a^2 + 6*z^8 - z^8/a^6 + (12*z^8)/a^4 - (25*z^8)/a^2 + z^10 + 
   (2*z^10)/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57550] -> 
  3 + a^(-6) - 2/a^4 - a^2 + 6*z^2 + (2*z^2)/a^4 - (7*z^2)/a^2 - a^2*z^2 + 
   z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - (11*z^4)/a^2 + 2*a^2*z^4 - 5*z^6 - 
   z^6/a^6 + (7*z^6)/a^4 - (8*z^6)/a^2 + 3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - 
   (4*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, Knot[15, Alternating, 57551] -> 
  9 + 2/a^4 - 7/a^2 - 3*a^2 + 36*z^2 + (9*z^2)/a^4 - (32*z^2)/a^2 - 
   12*a^2*z^2 + 66*z^4 + (12*z^4)/a^4 - (54*z^4)/a^2 - 21*a^2*z^4 + 63*z^6 + 
   (6*z^6)/a^4 - (42*z^6)/a^2 - 18*a^2*z^6 + 33*z^8 + z^8/a^4 - 
   (15*z^8)/a^2 - 7*a^2*z^8 + 9*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 57552] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 7*z^2 + 
   (4*z^2)/a^4 - (12*z^2)/a^2 + 4*a^2*z^2 - 3*a^4*z^2 + 12*z^4 + 
   (4*z^4)/a^4 - (17*z^4)/a^2 + 8*a^2*z^4 - 5*a^4*z^4 + 10*z^6 + z^6/a^4 - 
   (10*z^6)/a^2 + 9*a^2*z^6 - 4*a^4*z^6 + 5*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - 
   a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 57553] -> 
  10 + 3/a^4 - 9/a^2 - 3*a^2 + 24*z^2 + (2*z^2)/a^6 + z^2/a^4 - 
   (19*z^2)/a^2 - 8*a^2*z^2 + 26*z^4 + (3*z^4)/a^6 - (8*z^4)/a^4 - 
   (11*z^4)/a^2 - 9*a^2*z^4 + 16*z^6 + z^6/a^6 - (8*z^6)/a^4 + (2*z^6)/a^2 - 
   5*a^2*z^6 + 6*z^8 - (2*z^8)/a^4 + (4*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57554] -> 2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 4*z^2 + 
   z^2/a^6 - (7*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + 6*z^4 + z^4/a^6 - 
   (3*z^4)/a^4 - (4*z^4)/a^2 + 3*a^2*z^4 - 2*a^4*z^4 + 5*z^6 - (2*z^6)/a^4 + 
   2*a^2*z^6 - a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 57555] -> 9 - 3/a^2 - 7*a^2 + 2*a^4 + 34*z^2 - 
   (10*z^2)/a^2 - 34*a^2*z^2 + 11*a^4*z^2 + 55*z^4 - (12*z^4)/a^2 - 
   65*a^2*z^4 + 21*a^4*z^4 + 42*z^6 - (6*z^6)/a^2 - 63*a^2*z^6 + 18*a^4*z^6 + 
   15*z^8 - z^8/a^2 - 33*a^2*z^8 + 7*a^4*z^8 + 2*z^10 - 9*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57556] -> 
  1 - a^(-4) + 2/a^2 - 2*a^2 + a^4 + 5*z^2 - (3*z^2)/a^4 + (6*z^2)/a^2 - 
   14*a^2*z^2 + 6*a^4*z^2 + 3*z^4 - (3*z^4)/a^4 + (11*z^4)/a^2 - 22*a^2*z^4 + 
   9*a^4*z^4 - 4*z^6 - z^6/a^4 + (8*z^6)/a^2 - 16*a^2*z^6 + 5*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 6*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57557] -> -7 - 2/a^4 + 7/a^2 + 3*a^2 - 24*z^2 - 
   (5*z^2)/a^4 + (21*z^2)/a^2 + 5*a^2*z^2 + 2*a^4*z^2 - 28*z^4 - 
   (4*z^4)/a^4 + (23*z^4)/a^2 - 2*a^2*z^4 + 5*a^4*z^4 - 17*z^6 - z^6/a^4 + 
   (11*z^6)/a^2 - 8*a^2*z^6 + 4*a^4*z^6 - 6*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + 
   a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57558] -> 
  1 - 4*z^2 - z^2/a^4 + (4*z^2)/a^2 + a^4*z^2 - 9*z^4 - (2*z^4)/a^4 + 
   (9*z^4)/a^2 - 3*a^2*z^4 + 3*a^4*z^4 - 8*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   6*a^2*z^6 + 3*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57559] -> -2 - a^(-6) + 3/a^4 - a^(-2) + 
   2*a^2 - 3*z^2 - (2*z^2)/a^6 + (8*z^2)/a^4 - (6*z^2)/a^2 - a^2*z^2 + 
   2*a^4*z^2 - 3*z^4 - z^4/a^6 + (7*z^4)/a^4 - (7*z^4)/a^2 - 5*a^2*z^4 + 
   3*a^4*z^4 - 3*z^6 + (2*z^6)/a^4 - (4*z^6)/a^2 - 4*a^2*z^6 + a^4*z^6 - 
   z^8 - z^8/a^2 - a^2*z^8, Knot[15, Alternating, 57560] -> 
  -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 8*z^2 - (2*z^2)/a^4 + (7*z^2)/a^2 + 
   3*a^2*z^2 - 5*z^4 - (2*z^4)/a^4 + (8*z^4)/a^2 - 4*a^2*z^4 + 3*a^4*z^4 - 
   4*z^6 - z^6/a^4 + (6*z^6)/a^2 - 7*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + 
   (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57561] -> -6 - a^(-4) + 5/a^2 + 3*a^2 - 15*z^2 - 
   (2*z^2)/a^4 + (10*z^2)/a^2 + 6*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 17*z^4 - 
   z^4/a^4 + (9*z^4)/a^2 + 9*a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 - 11*z^6 + 
   (3*z^6)/a^2 + 8*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 - 3*z^8 + 4*a^2*z^8 - 
   2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 57562] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 57563] -> -1 + 4*a^2 - a^4 - 2*a^6 + a^8 - 
   3*z^2 + 7*a^2*z^2 + 3*a^4*z^2 - 10*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 
   9*a^2*z^4 + 4*a^4*z^4 - 16*a^6*z^4 + 6*a^8*z^4 - z^6 + 7*a^2*z^6 - 
   a^4*z^6 - 12*a^6*z^6 + 4*a^8*z^6 + 2*a^2*z^8 - 3*a^4*z^8 - 5*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 57564] -> 
  a^4 - a^6 + 6*a^8 - 7*a^10 + 2*a^12 + 2*a^4*z^2 - 7*a^6*z^2 + 30*a^8*z^2 - 
   24*a^10*z^2 + 5*a^12*z^2 - 3*a^4*z^4 - 7*a^6*z^4 + 46*a^8*z^4 - 
   30*a^10*z^4 + 4*a^12*z^4 - 4*a^4*z^6 + 2*a^6*z^6 + 34*a^8*z^6 - 
   16*a^10*z^6 + a^12*z^6 - a^4*z^8 + 4*a^6*z^8 + 13*a^8*z^8 - 3*a^10*z^8 + 
   a^6*z^10 + 2*a^8*z^10, Knot[15, Alternating, 57565] -> 
  a^4 + a^6 + a^8 - 3*a^10 + a^12 + a^2*z^2 - 3*a^4*z^2 + 8*a^6*z^2 + 
   6*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 5*a^4*z^4 + 13*a^6*z^4 + 
   8*a^8*z^4 - 9*a^10*z^4 + a^12*z^4 - a^2*z^6 + 10*a^6*z^6 + 6*a^8*z^6 - 
   3*a^10*z^6 + a^4*z^8 + 3*a^6*z^8 + 2*a^8*z^8, 
 Knot[15, Alternating, 57566] -> -a^(-8) - 3/a^6 + 8/a^4 - 3/a^2 + 
   (2*z^2)/a^8 - (17*z^2)/a^6 + (35*z^2)/a^4 - (13*z^2)/a^2 + (7*z^4)/a^8 - 
   (38*z^4)/a^6 + (65*z^4)/a^4 - (22*z^4)/a^2 + (5*z^6)/a^8 - (35*z^6)/a^6 + 
   (63*z^6)/a^4 - (18*z^6)/a^2 + z^8/a^8 - (14*z^8)/a^6 + (33*z^8)/a^4 - 
   (7*z^8)/a^2 - (2*z^10)/a^6 + (9*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57567] -> -1 - a^(-8) - a^(-6) + 3/a^4 + a^(-2) - 
   4*z^2 + (2*z^2)/a^8 - (9*z^2)/a^6 + (13*z^2)/a^4 + (4*z^2)/a^2 - 6*z^4 + 
   (3*z^4)/a^8 - (15*z^4)/a^6 + (17*z^4)/a^4 + (9*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (9*z^6)/a^6 + (12*z^6)/a^4 + (10*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (5*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57568] -> -2 - 2/a^4 + 5/a^2 - a^2 + a^4 - 13*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 + 6*a^2*z^2 - 3*a^4*z^2 + a^6*z^2 - 21*z^4 - 
   (2*z^4)/a^4 + (13*z^4)/a^2 + 14*a^2*z^4 - 6*a^4*z^4 + a^6*z^4 - 15*z^6 - 
   z^6/a^4 + (7*z^6)/a^2 + 10*a^2*z^6 - 3*a^4*z^6 - 5*z^8 + (2*z^8)/a^2 + 
   3*a^2*z^8 - z^10, Knot[15, Alternating, 57569] -> 
  1 - 2/a^4 + 3/a^2 - a^2 + 10*z^2 - z^2/a^4 - z^2/a^2 - 5*a^2*z^2 + 33*z^4 + 
   (4*z^4)/a^4 - (19*z^4)/a^2 - 12*a^2*z^4 + 42*z^6 + (4*z^6)/a^4 - 
   (25*z^6)/a^2 - 13*a^2*z^6 + 26*z^8 + z^8/a^4 - (12*z^8)/a^2 - 6*a^2*z^8 + 
   8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57570] -> 
  -4 - 2/a^4 + 5/a^2 + 3*a^2 - a^4 - 5*z^2 - z^2/a^4 + (4*z^2)/a^2 + 
   7*a^2*z^2 - 3*a^4*z^2 + z^4 + (2*z^4)/a^4 - (5*z^4)/a^2 + 11*a^2*z^4 - 
   5*a^4*z^4 + 5*z^6 + z^6/a^4 - (7*z^6)/a^2 + 10*a^2*z^6 - 4*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57571] -> 4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 
   3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   6*z^4 - z^4/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 57572] -> 
  -a^(-8) + 4/a^6 - 6/a^4 + 4/a^2 - 2*z^2 - (2*z^2)/a^8 + (10*z^2)/a^6 - 
   (14*z^2)/a^4 + (7*z^2)/a^2 + a^2*z^2 - 6*z^4 - z^4/a^8 + (9*z^4)/a^6 - 
   (17*z^4)/a^4 + (9*z^4)/a^2 + 2*a^2*z^4 - 6*z^6 + (3*z^6)/a^6 - 
   (11*z^6)/a^4 + (8*z^6)/a^2 + a^2*z^6 - 2*z^8 - (3*z^8)/a^4 + (4*z^8)/a^2 + 
   z^10/a^2, Knot[15, Alternating, 57573] -> -3 + 9*a^2 - 6*a^4 + a^6 - 
   5*z^2 + 13*a^2*z^2 - 4*a^4*z^2 - a^6*z^2 + 2*z^4 - 8*a^2*z^4 + 
   21*a^4*z^4 - 9*a^6*z^4 + 4*z^6 - 22*a^2*z^6 + 37*a^4*z^6 - 12*a^6*z^6 + 
   z^8 - 12*a^2*z^8 + 25*a^4*z^8 - 6*a^6*z^8 - 2*a^2*z^10 + 8*a^4*z^10 - 
   a^6*z^10 + a^4*z^12, Knot[15, Alternating, 57574] -> 
  2 - a^(-2) + a^2 - a^4 + 5*z^2 - (2*z^2)/a^2 - 3*a^2*z^2 + 4*a^4*z^2 - 
   2*a^6*z^2 + z^4/a^2 - 4*a^2*z^4 + 12*a^4*z^4 - 5*a^6*z^4 - 5*z^6 + 
   z^6/a^2 + a^2*z^6 + 11*a^4*z^6 - 4*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   5*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57575] -> 
  10 - 3/a^2 - 9*a^2 + 3*a^4 + 24*z^2 - (7*z^2)/a^2 - 21*a^2*z^2 + a^4*z^2 + 
   3*a^6*z^2 + 25*z^4 - (5*z^4)/a^2 - 21*a^2*z^4 - 9*a^4*z^4 + 7*a^6*z^4 + 
   12*z^6 - z^6/a^2 - 14*a^2*z^6 - 12*a^4*z^6 + 5*a^6*z^6 + 2*z^8 - 
   6*a^2*z^8 - 6*a^4*z^8 + a^6*z^8 - a^2*z^10 - a^4*z^10, 
 Knot[15, Alternating, 57576] -> 2 - a^(-4) + 2/a^2 - 4*a^2 + 2*a^4 + 4*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 9*a^2*z^2 + 2*a^6*z^2 + 3*z^4 - z^4/a^4 + 
   (5*z^4)/a^2 - 10*a^2*z^4 - 3*a^4*z^4 + 3*a^6*z^4 - z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 3*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 57577] -> -6 - 2/a^4 + 7/a^2 + a^2 + a^4 - 10*z^2 - 
   (3*z^2)/a^4 + (12*z^2)/a^2 - 4*a^2*z^2 + 2*a^4*z^2 + a^6*z^2 - 6*z^4 - 
   z^4/a^4 + (8*z^4)/a^2 - 9*a^2*z^4 + 2*a^6*z^4 - 3*z^6 + (2*z^6)/a^2 - 
   7*a^2*z^6 - 2*a^4*z^6 + a^6*z^6 - z^8 - 2*a^2*z^8 - a^4*z^8, 
 Knot[15, Alternating, 57578] -> 2 - a^(-2) + a^2 - a^4 - 2*z^2 + 6*a^2*z^2 - 
   a^4*z^2 - a^6*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 7*z^6 + z^6/a^2 + 8*a^2*z^6 + 6*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   4*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57579] -> -1 - a^(-6) + 3/a^4 - a^(-2) + a^4 - 3*z^2 - 
   z^2/a^6 + (4*z^2)/a^4 - (2*z^2)/a^2 - 2*a^2*z^2 + a^6*z^2 - 3*z^4 + 
   (2*z^4)/a^4 - z^4/a^2 - 3*a^2*z^4 - a^4*z^4 + a^6*z^4 - 2*z^6 - z^6/a^2 - 
   2*a^2*z^6 - a^4*z^6, Knot[15, Alternating, 57580] -> 
  2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 
   3*a^2*z^2 + z^4 + z^4/a^6 - (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - 
   a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + (8*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 - 
   3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - z^10, Knot[15, Alternating, 57581] -> 
  8 + a^(-4) - 5/a^2 - 3*a^2 + 35*z^2 + (8*z^2)/a^4 - (29*z^2)/a^2 - 
   12*a^2*z^2 + 60*z^4 + (10*z^4)/a^4 - (47*z^4)/a^2 - 19*a^2*z^4 + 54*z^6 + 
   (5*z^6)/a^4 - (35*z^6)/a^2 - 15*a^2*z^6 + 28*z^8 + z^8/a^4 - 
   (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - (2*z^10)/a^2 - a^2*z^10 + z^12, 
 Knot[15, Alternating, 57582] -> 5 - a^(-4) - 4*a^2 + a^4 + 7*z^2 - 
   (2*z^2)/a^4 + (3*z^2)/a^2 - 9*a^2*z^2 + 3*a^4*z^2 + 2*z^4 - (2*z^4)/a^4 + 
   (7*z^4)/a^2 - 10*a^2*z^4 + 4*a^4*z^4 - 3*z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   8*a^2*z^6 + 3*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57583] -> a^(-8) - 7/a^6 + 10/a^4 - 
   3/a^2 + (5*z^2)/a^8 - (23*z^2)/a^6 + (34*z^2)/a^4 - (11*z^2)/a^2 + 
   (8*z^4)/a^8 - (38*z^4)/a^6 + (54*z^4)/a^4 - (17*z^4)/a^2 + (5*z^6)/a^8 - 
   (32*z^6)/a^6 + (50*z^6)/a^4 - (14*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + 
   (27*z^8)/a^4 - (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + 
   z^12/a^4, Knot[15, Alternating, 57584] -> -1 + a^(-8) - 5/a^6 + 5/a^4 + 
   a^(-2) - 4*z^2 + (3*z^2)/a^8 - (11*z^2)/a^6 + (10*z^2)/a^4 + (6*z^2)/a^2 - 
   6*z^4 + (3*z^4)/a^8 - (13*z^4)/a^6 + (9*z^4)/a^4 + (12*z^4)/a^2 - 4*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (7*z^6)/a^4 + (11*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (5*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57585] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 30*z^2 + 
   (7*z^2)/a^4 - (26*z^2)/a^2 - 10*a^2*z^2 + 51*z^4 + (9*z^4)/a^4 - 
   (41*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (33*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57586] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 7*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 
   5*a^4*z^4 + 6*z^6 + z^6/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - 4*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57587] -> 1 - 2/a^6 + 4/a^4 - 2/a^2 - (2*z^2)/a^6 + 
   (8*z^2)/a^4 - (5*z^2)/a^2 + a^2*z^2 - 5*z^4 - (2*z^4)/a^6 + (8*z^4)/a^4 - 
   (5*z^4)/a^2 + 3*a^2*z^4 - 7*z^6 - z^6/a^6 + (6*z^6)/a^4 - (4*z^6)/a^2 + 
   3*a^2*z^6 - 4*z^8 + (2*z^8)/a^4 - (3*z^8)/a^2 + a^2*z^8 - z^10 - z^10/a^2, 
 Knot[15, Alternating, 57588] -> 3 - a^(-2) - a^2 + 9*z^2 + (2*z^2)/a^4 - 
   (7*z^2)/a^2 - 3*a^2*z^2 + 22*z^4 + (5*z^4)/a^4 - (19*z^4)/a^2 - 
   7*a^2*z^4 + 29*z^6 + (4*z^6)/a^4 - (22*z^6)/a^2 - 9*a^2*z^6 + 20*z^8 + 
   z^8/a^4 - (11*z^8)/a^2 - 5*a^2*z^8 + 7*z^10 - (2*z^10)/a^2 - a^2*z^10 + 
   z^12, Knot[15, Alternating, 57589] -> -1 + a^(-8) - 4/a^6 + 3/a^4 + 
   2/a^2 - 3*z^2 + (2*z^2)/a^8 - (7*z^2)/a^6 + (5*z^2)/a^4 + (6*z^2)/a^2 - 
   4*z^4 + (2*z^4)/a^8 - (8*z^4)/a^6 + (4*z^4)/a^4 + (9*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (6*z^6)/a^6 + (4*z^6)/a^4 + (8*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (3*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57590] -> 10 + 3/a^4 - 9/a^2 - 3*a^2 + 32*z^2 + 
   (9*z^2)/a^4 - (31*z^2)/a^2 - 10*a^2*z^2 + 52*z^4 + (10*z^4)/a^4 - 
   (45*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (34*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57591] -> 
  2 + 2/a^4 - 4/a^2 + 2*a^2 - a^4 + 2*z^2 + (3*z^2)/a^4 - (9*z^2)/a^2 + 
   6*a^2*z^2 - 3*a^4*z^2 + 3*z^4 + (3*z^4)/a^4 - (11*z^4)/a^2 + 11*a^2*z^4 - 
   5*a^4*z^4 + 5*z^6 + z^6/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - 4*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57592] -> 11 - 4/a^2 - 8*a^2 + 2*a^4 + 33*z^2 - 
   (10*z^2)/a^2 - 30*a^2*z^2 + 9*a^4*z^2 + 46*z^4 - (10*z^4)/a^2 - 
   51*a^2*z^4 + 16*a^4*z^4 + 34*z^6 - (5*z^6)/a^2 - 49*a^2*z^6 + 14*a^4*z^6 + 
   13*z^8 - z^8/a^2 - 27*a^2*z^8 + 6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + 
   a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57593] -> 
  3 - a^(-4) + a^(-2) - 3*a^2 + a^4 + 2*z^2 - (3*z^2)/a^4 + (7*z^2)/a^2 - 
   9*a^2*z^2 + 4*a^4*z^2 - 3*z^4 - (3*z^4)/a^4 + (12*z^4)/a^2 - 13*a^2*z^4 + 
   6*a^4*z^4 - 6*z^6 - z^6/a^4 + (8*z^6)/a^2 - 11*a^2*z^6 + 4*a^4*z^6 - 
   4*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57594] -> 4 - a^(-4) + a^(-2) - 5*a^2 + 2*a^4 + 
   3*z^2 - (2*z^2)/a^4 + (4*z^2)/a^2 - 5*a^2*z^2 - 2*a^4*z^2 + 2*a^6*z^2 - 
   6*z^4 - z^4/a^4 + (7*z^4)/a^2 + 4*a^2*z^4 - 8*a^4*z^4 + 3*a^6*z^4 - 
   9*z^6 + (3*z^6)/a^2 + 7*a^2*z^6 - 7*a^4*z^6 + a^6*z^6 - 3*z^8 + 
   4*a^2*z^8 - 2*a^4*z^8 + a^2*z^10, Knot[15, Alternating, 57595] -> 
  -2 + a^(-6) - 5/a^4 + 7/a^2 - 7*z^2 + (3*z^2)/a^6 - (14*z^2)/a^4 + 
   (20*z^2)/a^2 - 3*z^4 + (3*z^4)/a^6 - (16*z^4)/a^4 + (22*z^4)/a^2 - 
   2*a^2*z^4 + 4*z^6 + z^6/a^6 - (9*z^6)/a^4 + (13*z^6)/a^2 - 3*a^2*z^6 + 
   4*z^8 - (2*z^8)/a^4 + (5*z^8)/a^2 - a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57596] -> -4 + a^(-2) + 7*a^2 - 3*a^4 - 15*z^2 + 
   (3*z^2)/a^2 + 21*a^2*z^2 - 6*a^4*z^2 - a^6*z^2 - 17*z^4 + (3*z^4)/a^2 + 
   24*a^2*z^4 - a^4*z^4 - 3*a^6*z^4 - 9*z^6 + z^6/a^2 + 14*a^2*z^6 + 
   5*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 5*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + 
   a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57597] -> 
  -5 - 2/a^4 + 6/a^2 + 2*a^2 - 19*z^2 - (4*z^2)/a^4 + (17*z^2)/a^2 + 
   5*a^2*z^2 + a^4*z^2 - 23*z^4 - (3*z^4)/a^4 + (18*z^4)/a^2 + a^2*z^4 + 
   3*a^4*z^4 - 14*z^6 - z^6/a^4 + (9*z^6)/a^2 - 5*a^2*z^6 + 3*a^4*z^6 - 
   5*z^8 + (2*z^8)/a^2 - 4*a^2*z^8 + a^4*z^8 - z^10 - a^2*z^10, 
 Knot[15, Alternating, 57598] -> -5 - a^(-4) + 4/a^2 + 4*a^2 - a^4 - 18*z^2 - 
   (2*z^2)/a^4 + (11*z^2)/a^2 + 11*a^2*z^2 - 2*a^4*z^2 - 20*z^4 - 
   (2*z^4)/a^4 + (12*z^4)/a^2 + 8*a^2*z^4 - 11*z^6 - z^6/a^4 + (7*z^6)/a^2 - 
   a^2*z^6 + 2*a^4*z^6 - 4*z^8 + (2*z^8)/a^2 - 3*a^2*z^8 + a^4*z^8 - z^10 - 
   a^2*z^10, Knot[15, Alternating, 57599] -> -1 + 7*a^2 - 9*a^4 + 5*a^6 - 
   a^8 - 3*z^2 + 13*a^2*z^2 - 17*a^4*z^2 + 8*a^6*z^2 - a^8*z^2 - 3*z^4 + 
   13*a^2*z^4 - 14*a^4*z^4 + a^6*z^4 + 2*a^8*z^4 - z^6 + 8*a^2*z^6 - 
   8*a^4*z^6 - 5*a^6*z^6 + 3*a^8*z^6 + 2*a^2*z^8 - 4*a^4*z^8 - 4*a^6*z^8 + 
   a^8*z^8 - a^4*z^10 - a^6*z^10, Knot[15, Alternating, 57600] -> 
  -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + z^2/a^2 + 15*a^2*z^2 - 6*a^4*z^2 - 
   8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 3*a^6*z^4 - 6*z^6 + 
   z^6/a^2 + 5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 3*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57601] -> 
  2 - a^(-2) + a^2 - a^4 + 4*z^2 - z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 
   2*a^6*z^2 + z^4/a^2 - 6*a^2*z^4 + 11*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + 
   z^6/a^2 - a^2*z^6 + 9*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 
   4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57602] -> 
  -2 + 2/a^6 - 7/a^4 + 8/a^2 - z^2 + z^2/a^6 - (5*z^2)/a^4 + (6*z^2)/a^2 + 
   6*z^4 - (4*z^4)/a^6 + (13*z^4)/a^4 - (15*z^4)/a^2 + 9*z^6 - (4*z^6)/a^6 + 
   (21*z^6)/a^4 - (28*z^6)/a^2 + 5*z^8 - z^8/a^6 + (11*z^8)/a^4 - 
   (20*z^8)/a^2 + z^10 + (2*z^10)/a^4 - (7*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57603] -> -3 + 9*a^2 - 6*a^4 + a^6 - 7*z^2 + z^2/a^2 + 
   15*a^2*z^2 - 6*a^4*z^2 - 8*z^4 + (2*z^4)/a^2 + 10*a^2*z^4 + 3*a^4*z^4 - 
   3*a^6*z^4 - 6*z^6 + z^6/a^2 + 5*a^2*z^6 + 7*a^4*z^6 - 3*a^6*z^6 - 2*z^8 + 
   3*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57604] -> a^4 + a^6 + a^8 - 3*a^10 + a^12 - 
   2*a^4*z^2 + 9*a^6*z^2 + 5*a^8*z^2 - 9*a^10*z^2 + 2*a^12*z^2 - a^2*z^4 - 
   5*a^4*z^4 + 15*a^6*z^4 + 9*a^8*z^4 - 10*a^10*z^4 + a^12*z^4 - a^2*z^6 - 
   a^4*z^6 + 12*a^6*z^6 + 8*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 
   3*a^8*z^8, Knot[15, Alternating, 57605] -> -1 + a^(-2) + 2*a^4 - a^6 - 
   5*a^2*z^2 + 8*a^4*z^2 - 3*a^6*z^2 - z^4 + z^4/a^2 - 6*a^2*z^4 + 
   12*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 9*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57606] -> 3/a^8 - 11/a^6 + 12/a^4 - 3/a^2 + 
   (6*z^2)/a^8 - (25*z^2)/a^6 + (31*z^2)/a^4 - (9*z^2)/a^2 + (8*z^4)/a^8 - 
   (36*z^4)/a^6 + (46*z^4)/a^4 - (14*z^4)/a^2 + (5*z^6)/a^8 - (31*z^6)/a^6 + 
   (45*z^6)/a^4 - (13*z^6)/a^2 + z^8/a^8 - (13*z^8)/a^6 + (26*z^8)/a^4 - 
   (6*z^8)/a^2 - (2*z^10)/a^6 + (8*z^10)/a^4 - z^10/a^2 + z^12/a^4, 
 Knot[15, Alternating, 57607] -> -1 + a^(-8) - 3/a^6 + a^(-4) + 3/a^2 - 
   2*z^2 + (3*z^2)/a^8 - (10*z^2)/a^6 + (8*z^2)/a^4 + (3*z^2)/a^2 - 3*z^4 + 
   (3*z^4)/a^8 - (13*z^4)/a^6 + (11*z^4)/a^4 + (4*z^4)/a^2 - 3*z^6 + 
   z^6/a^8 - (8*z^6)/a^6 + (8*z^6)/a^4 + (6*z^6)/a^2 - z^8 - (2*z^8)/a^6 + 
   (4*z^8)/a^4 + (4*z^8)/a^2 + z^10/a^4 + z^10/a^2, 
 Knot[15, Alternating, 57608] -> 9 + 2/a^4 - 7/a^2 - 3*a^2 + 30*z^2 + 
   (7*z^2)/a^4 - (26*z^2)/a^2 - 10*a^2*z^2 + 51*z^4 + (9*z^4)/a^4 - 
   (41*z^4)/a^2 - 16*a^2*z^4 + 49*z^6 + (5*z^6)/a^4 - (33*z^6)/a^2 - 
   14*a^2*z^6 + 27*z^8 + z^8/a^4 - (13*z^8)/a^2 - 6*a^2*z^8 + 8*z^10 - 
   (2*z^10)/a^2 - a^2*z^10 + z^12, Knot[15, Alternating, 57609] -> 
  13 - 5/a^2 - 9*a^2 + 2*a^4 + 30*z^2 - (9*z^2)/a^2 - 25*a^2*z^2 + 
   7*a^4*z^2 + 40*z^4 - (9*z^4)/a^2 - 42*a^2*z^4 + 13*a^4*z^4 + 32*z^6 - 
   (5*z^6)/a^2 - 44*a^2*z^6 + 13*a^4*z^6 + 13*z^8 - z^8/a^2 - 26*a^2*z^8 + 
   6*a^4*z^8 + 2*z^10 - 8*a^2*z^10 + a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57610] -> 2 - 2/a^4 + 3/a^2 - 3*a^2 + a^4 + 7*z^2 - 
   (2*z^2)/a^4 + (4*z^2)/a^2 - 11*a^2*z^2 + 4*a^4*z^2 + 6*z^4 - (2*z^4)/a^4 + 
   (6*z^4)/a^2 - 16*a^2*z^4 + 6*a^4*z^4 - z^6 - z^6/a^4 + (6*z^6)/a^2 - 
   12*a^2*z^6 + 4*a^4*z^6 - 3*z^8 + (2*z^8)/a^2 - 5*a^2*z^8 + a^4*z^8 - 
   z^10 - a^2*z^10, Knot[15, Alternating, 57611] -> 
  4 + 2/a^4 - 5/a^2 + a^2 - a^4 + 7*z^2 + (3*z^2)/a^4 - (11*z^2)/a^2 + 
   4*a^2*z^2 - 3*a^4*z^2 + 7*z^4 + (3*z^4)/a^4 - (12*z^4)/a^2 + 10*a^2*z^4 - 
   5*a^4*z^4 + 6*z^6 + z^6/a^4 - (8*z^6)/a^2 + 10*a^2*z^6 - 4*a^4*z^6 + 
   4*z^8 - (2*z^8)/a^2 + 5*a^2*z^8 - a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57612] -> -a^4 + 8*a^6 - 8*a^8 + 2*a^10 - 5*a^4*z^2 + 
   20*a^6*z^2 - 8*a^8*z^2 - 3*a^10*z^2 + a^12*z^2 - a^2*z^4 - 6*a^4*z^4 + 
   21*a^6*z^4 + 3*a^8*z^4 - 8*a^10*z^4 + a^12*z^4 - a^2*z^6 - a^4*z^6 + 
   13*a^6*z^6 + 7*a^8*z^6 - 4*a^10*z^6 + a^4*z^8 + 4*a^6*z^8 + 3*a^8*z^8, 
 Knot[15, Alternating, 57613] -> 1 + a^(-4) - 2/a^2 + 2*a^2 - a^4 + 3*z^2 + 
   z^2/a^6 - z^2/a^4 - (4*z^2)/a^2 + 3*a^2*z^2 - 2*a^4*z^2 + z^4/a^6 - 
   (5*z^4)/a^4 + (3*z^4)/a^2 + 5*a^2*z^4 - 2*a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (7*z^6)/a^2 + 5*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 57614] -> 2 - a^(-2) + a^2 - a^4 + 4*z^2 - 
   z^2/a^2 - 4*a^2*z^2 + 5*a^4*z^2 - 2*a^6*z^2 + z^4/a^2 - 6*a^2*z^4 + 
   11*a^4*z^4 - 4*a^6*z^4 - 4*z^6 + z^6/a^2 - a^2*z^6 + 9*a^4*z^6 - 
   3*a^6*z^6 - 2*z^8 + 2*a^2*z^8 + 4*a^4*z^8 - a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57615] -> 2 - a^(-4) + a^(-2) - a^2 + 5*z^2 + 
   z^2/a^6 - (4*z^2)/a^4 + (3*z^2)/a^2 - 3*a^2*z^2 + z^4 + z^4/a^6 - 
   (6*z^4)/a^4 + (8*z^4)/a^2 + a^2*z^4 - a^4*z^4 - 4*z^6 - (3*z^6)/a^4 + 
   (8*z^6)/a^2 + 4*a^2*z^6 - a^4*z^6 - 3*z^8 + (3*z^8)/a^2 + 2*a^2*z^8 - 
   z^10, Knot[15, Alternating, 57616] -> 1 + 2*z^2 - 4*a^2*z^2 + 2*a^4*z^2 + 
   13*z^4 - (4*z^4)/a^2 - 16*a^2*z^4 + 5*a^4*z^4 + 24*z^6 - (8*z^6)/a^2 - 
   21*a^2*z^6 + 4*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 11*a^2*z^8 + a^4*z^8 + 
   7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 57617] -> 
  2 - a^2 - a^4 + a^6 - z^2 + 2*a^2*z^2 - 4*a^4*z^2 + a^6*z^2 - z^4 + 
   a^2*z^4 + 2*a^4*z^4 - 2*a^6*z^4 + 4*z^6 - 10*a^2*z^6 + 12*a^4*z^6 - 
   3*a^6*z^6 + 4*z^8 - 13*a^2*z^8 + 9*a^4*z^8 - a^6*z^8 + z^10 - 6*a^2*z^10 + 
   2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57618] -> 
  3 - 4*a^2 + 2*a^4 + 13*z^2 - (4*z^2)/a^2 - 16*a^2*z^2 + 5*a^4*z^2 + 
   34*z^4 - (12*z^4)/a^2 - 29*a^2*z^4 + 6*a^4*z^4 + 42*z^6 - (13*z^6)/a^2 - 
   27*a^2*z^6 + 4*a^4*z^6 + 26*z^8 - (6*z^8)/a^2 - 12*a^2*z^8 + a^4*z^8 + 
   8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, Knot[15, Alternating, 57619] -> 
  1 - 2*z^2 + z^2/a^2 + 2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 - 2*z^4 + 4*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + 2*z^6 - (2*z^6)/a^2 + 4*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 + 3*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57620] -> -a^2 + 7*a^4 - 7*a^6 + 2*a^8 - 6*a^2*z^2 + 
   24*a^4*z^2 - 23*a^6*z^2 + 7*a^8*z^2 - 13*a^2*z^4 + 42*a^4*z^4 - 
   38*a^6*z^4 + 9*a^8*z^4 - 13*a^2*z^6 + 44*a^4*z^6 - 32*a^6*z^6 + 
   5*a^8*z^6 - 6*a^2*z^8 + 26*a^4*z^8 - 13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 
   8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, Knot[15, Alternating, 57621] -> 
  5*a^4 - 6*a^6 + 2*a^8 - z^2 + 11*a^4*z^2 - 13*a^6*z^2 + 4*a^8*z^2 - 3*z^4 + 
   3*a^2*z^4 + 11*a^4*z^4 - 14*a^6*z^4 + 3*a^8*z^4 - 3*z^6 + 6*a^2*z^6 + 
   8*a^4*z^6 - 8*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 4*a^4*z^8 - 
   2*a^6*z^8 + a^2*z^10 + a^4*z^10, Knot[15, Alternating, 57622] -> 
  2 - 3*a^2 + 3*a^4 - a^6 + 5*z^2 - 15*a^2*z^2 + 14*a^4*z^2 - 4*a^6*z^2 + 
   12*z^4 - 35*a^2*z^4 + 28*a^4*z^4 - 6*a^6*z^4 + 13*z^6 - 42*a^2*z^6 + 
   27*a^4*z^6 - 4*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 12*a^4*z^8 - a^6*z^8 + 
   z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, Knot[15, Alternating, 57623] -> 
  5*a^4 - 7*a^6 + 4*a^8 - a^10 + 12*a^4*z^2 - 24*a^6*z^2 + 19*a^8*z^2 - 
   5*a^10*z^2 + 15*a^4*z^4 - 44*a^6*z^4 + 35*a^8*z^4 - 8*a^10*z^4 + 
   13*a^4*z^6 - 45*a^6*z^6 + 31*a^8*z^6 - 5*a^10*z^6 + 6*a^4*z^8 - 
   26*a^6*z^8 + 13*a^8*z^8 - a^10*z^8 + a^4*z^10 - 8*a^6*z^10 + 2*a^8*z^10 - 
   a^6*z^12, Knot[15, Alternating, 57624] -> a^2 + 3*a^4 - 6*a^6 + 4*a^8 - 
   a^10 + 2*a^2*z^2 + 3*a^4*z^2 - 12*a^6*z^2 + 11*a^8*z^2 - 3*a^10*z^2 + 
   3*a^2*z^4 - 3*a^4*z^4 - 12*a^6*z^4 + 13*a^8*z^4 - 3*a^10*z^4 + 3*a^2*z^6 - 
   6*a^4*z^6 - 8*a^6*z^6 + 8*a^8*z^6 - a^10*z^6 + a^2*z^8 - 4*a^4*z^8 - 
   4*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 57625] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 20*z^4 - (8*z^4)/a^2 - 20*a^2*z^4 + 5*a^4*z^4 + 
   36*z^6 - (12*z^6)/a^2 - 25*a^2*z^6 + 4*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   12*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57626] -> -2 - a^(-4) + 3/a^2 + a^2 + z^2/a^4 - 
   z^2/a^2 + 17*z^4 + (9*z^4)/a^4 - (23*z^4)/a^2 - 4*a^2*z^4 + 24*z^6 + 
   (12*z^6)/a^4 - (37*z^6)/a^2 - 4*a^2*z^6 + 12*z^8 + (6*z^8)/a^4 - 
   (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, 
 Knot[15, Alternating, 57627] -> 5*a^2 - 7*a^4 + 3*a^6 + a^2*z^2 - a^4*z^2 - 
   4*a^6*z^2 + 2*a^8*z^2 - 11*a^2*z^4 + 27*a^4*z^4 - 23*a^6*z^4 + 5*a^8*z^4 - 
   13*a^2*z^6 + 41*a^4*z^6 - 26*a^6*z^6 + 4*a^8*z^6 - 6*a^2*z^8 + 
   26*a^4*z^8 - 12*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + 
   a^4*z^12, Knot[15, Alternating, 57628] -> -2 + 7*a^2 - 5*a^4 + a^6 + z^2 + 
   2*a^4*z^2 - a^6*z^2 + 11*z^4 - 28*a^2*z^4 + 22*a^4*z^4 - 5*a^6*z^4 + 
   13*z^6 - 41*a^2*z^6 + 26*a^4*z^6 - 4*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   12*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57629] -> -3 + 2/a^2 + 2*a^2 - 8*z^2 + (3*z^2)/a^2 + 
   3*a^2*z^2 + 5*z^4 - (3*z^4)/a^2 - 7*a^2*z^4 + 2*a^4*z^4 + 22*z^6 - 
   (8*z^6)/a^2 - 16*a^2*z^6 + 3*a^4*z^6 + 19*z^8 - (5*z^8)/a^2 - 10*a^2*z^8 + 
   a^4*z^8 + 7*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57630] -> -1 + a^(-2) + a^2 - 3*z^2 + z^2/a^2 + 
   2*a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 2*z^4 - (2*z^4)/a^2 + 2*a^2*z^4 - 
   6*a^4*z^4 + 2*a^6*z^4 + 6*z^6 - (3*z^6)/a^2 + 3*a^2*z^6 - 6*a^4*z^6 + 
   a^6*z^6 + 4*z^8 - z^8/a^2 + 3*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, 
 Knot[15, Alternating, 57631] -> a^2 + a^4 - a^6 + z^2 + 2*a^2*z^2 - 
   4*a^4*z^2 + 3*a^6*z^2 - 2*z^4 + 5*a^2*z^4 - 8*a^4*z^4 + a^8*z^4 - 3*z^6 + 
   7*a^2*z^6 - 2*a^4*z^6 - 4*a^6*z^6 + a^8*z^6 - z^8 + 4*a^2*z^8 + 
   2*a^4*z^8 - 2*a^6*z^8 + a^2*z^10 + a^4*z^10, 
 Knot[15, Alternating, 57632] -> -3 + 2/a^2 + 2*a^2 - 2*z^2 + z^2/a^2 - 
   3*a^2*z^2 + 2*a^4*z^2 + 20*z^4 - (8*z^4)/a^2 - 20*a^2*z^4 + 5*a^4*z^4 + 
   36*z^6 - (12*z^6)/a^2 - 25*a^2*z^6 + 4*a^4*z^6 + 25*z^8 - (6*z^8)/a^2 - 
   12*a^2*z^8 + a^4*z^8 + 8*z^10 - z^10/a^2 - 2*a^2*z^10 + z^12, 
 Knot[15, Alternating, 57633] -> 1 + a^(-2) - 3*a^2 + 2*a^4 + 18*z^2 - 
   (6*z^2)/a^2 - 22*a^2*z^2 + 7*a^4*z^2 + 53*z^4 - (19*z^4)/a^2 - 
   44*a^2*z^4 + 9*a^4*z^4 + 60*z^6 - (18*z^6)/a^2 - 37*a^2*z^6 + 5*a^4*z^6 + 
   33*z^8 - (7*z^8)/a^2 - 14*a^2*z^8 + a^4*z^8 + 9*z^10 - z^10/a^2 - 
   2*a^2*z^10 + z^12, Knot[15, Alternating, 57634] -> 
  -2 + 2/a^2 + a^2 - a^4 + a^6 + 3*z^2 - (3*z^2)/a^2 + a^2*z^2 - 8*a^4*z^2 + 
   3*a^6*z^2 + 14*z^4 - (8*z^4)/a^2 + 6*a^2*z^4 - 14*a^4*z^4 + 3*a^6*z^4 + 
   14*z^6 - (5*z^6)/a^2 + 9*a^2*z^6 - 9*a^4*z^6 + a^6*z^6 + 6*z^8 - z^8/a^2 + 
   5*a^2*z^8 - 2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 57635] -> 
  -5 + 3/a^2 + 3*a^2 - 3*z^2 + a^2*z^2 - 2*a^4*z^2 + a^6*z^2 + 9*z^4 - 
   (5*z^4)/a^2 - a^2*z^4 - 6*a^4*z^4 + 2*a^6*z^4 + 11*z^6 - (4*z^6)/a^2 + 
   2*a^2*z^6 - 6*a^4*z^6 + a^6*z^6 + 5*z^8 - z^8/a^2 + 3*a^2*z^8 - 
   2*a^4*z^8 + z^10 + a^2*z^10, Knot[15, Alternating, 57636] -> 
  5*a^4 - 6*a^6 + 2*a^8 - 6*a^2*z^2 + 23*a^4*z^2 - 23*a^6*z^2 + 7*a^8*z^2 - 
   15*a^2*z^4 + 46*a^4*z^4 - 40*a^6*z^4 + 9*a^8*z^4 - 14*a^2*z^6 + 
   48*a^4*z^6 - 33*a^6*z^6 + 5*a^8*z^6 - 6*a^2*z^8 + 27*a^4*z^8 - 
   13*a^6*z^8 + a^8*z^8 - a^2*z^10 + 8*a^4*z^10 - 2*a^6*z^10 + a^4*z^12, 
 Knot[15, Alternating, 57637] -> a^4 + 3*a^6 - 4*a^8 + a^10 + 2*a^4*z^2 + 
   7*a^6*z^2 - 5*a^8*z^2 - 2*a^10*z^2 + 2*a^12*z^2 - 3*a^4*z^4 + 9*a^6*z^4 - 
   a^8*z^4 - 9*a^10*z^4 + 3*a^12*z^4 - 4*a^4*z^6 + 9*a^6*z^6 + 4*a^8*z^6 - 
   8*a^10*z^6 + a^12*z^6 - a^4*z^8 + 5*a^6*z^8 + 4*a^8*z^8 - 2*a^10*z^8 + 
   a^6*z^10 + a^8*z^10, Knot[15, Alternating, 57638] -> 
  2*a^4 + a^6 - 3*a^8 + a^10 + a^2*z^2 + a^4*z^2 + 5*a^6*z^2 - 5*a^8*z^2 + 
   a^12*z^2 - a^2*z^4 - a^4*z^4 + 6*a^6*z^4 - 4*a^8*z^4 - 3*a^10*z^4 + 
   a^12*z^4 - a^2*z^6 + a^4*z^6 + 5*a^6*z^6 - 2*a^10*z^6 + a^4*z^8 + 
   2*a^6*z^8 + a^8*z^8, Knot[15, Alternating, 57639] -> 
  5*a^4 - 7*a^6 + 4*a^8 - a^10 + a^2*z^2 + 6*a^4*z^2 - 12*a^6*z^2 + 
   9*a^8*z^2 - 2*a^10*z^2 + 3*a^2*z^4 - 3*a^4*z^4 - 9*a^6*z^4 + 9*a^8*z^4 - 
   2*a^10*z^4 + 3*a^2*z^6 - 7*a^4*z^6 - 5*a^6*z^6 + 6*a^8*z^6 - a^10*z^6 + 
   a^2*z^8 - 4*a^4*z^8 - 3*a^6*z^8 + 2*a^8*z^8 - a^4*z^10 - a^6*z^10, 
 Knot[15, Alternating, 57640] -> -1 + 5*a^2 - 4*a^4 + a^6 + a^2*z^2 + 
   a^4*z^2 - a^6*z^2 + 10*z^4 - 25*a^2*z^4 + 21*a^4*z^4 - 5*a^6*z^4 + 
   13*z^6 - 40*a^2*z^6 + 26*a^4*z^6 - 4*a^6*z^6 + 6*z^8 - 26*a^2*z^8 + 
   12*a^4*z^8 - a^6*z^8 + z^10 - 8*a^2*z^10 + 2*a^4*z^10 - a^2*z^12, 
 Knot[15, Alternating, 57641] -> 3*a^2 - 3*a^4 + a^6 - z^2 + 3*a^2*z^2 - 
   2*a^4*z^2 - 6*z^4 + (4*z^4)/a^2 - a^2*z^4 + 6*a^4*z^4 - 2*a^6*z^4 - 
   9*z^6 + (4*z^6)/a^2 - 5*a^2*z^6 + 7*a^4*z^6 - a^6*z^6 - 5*z^8 + z^8/a^2 - 
   4*a^2*z^8 + 2*a^4*z^8 - z^10 - a^2*z^10, Knot[15, Alternating, 57642] -> 
  -2 - a^(-4) + 3/a^2 + a^2 + z^2/a^4 - z^2/a^2 + 17*z^4 + (9*z^4)/a^4 - 
   (23*z^4)/a^2 - 4*a^2*z^4 + 24*z^6 + (12*z^6)/a^4 - (37*z^6)/a^2 - 
   4*a^2*z^6 + 12*z^8 + (6*z^8)/a^4 - (25*z^8)/a^2 - a^2*z^8 + 2*z^10 + 
   z^10/a^4 - (8*z^10)/a^2 - z^12/a^2, Knot[15, Alternating, 57643] -> 
  2 + a^(-4) - a^(-2) - 3*a^2 + 2*a^4 + 10*z^2 - (2*z^2)/a^4 - z^2/a^2 - 
   16*a^2*z^2 + 5*a^4*z^2 + 17*z^4 - (7*z^4)/a^4 + (8*z^4)/a^2 - 21*a^2*z^4 + 
   4*a^4*z^4 + 14*z^6 - (5*z^6)/a^4 + (12*z^6)/a^2 - 11*a^2*z^6 + a^4*z^6 + 
   6*z^8 - z^8/a^4 + (6*z^8)/a^2 - 2*a^2*z^8 + z^10 + z^10/a^2, 
 Knot[15, Alternating, 57644] -> -1 + a^(-4) + a^2 - a^4 + a^6 + z^2 - 
   (2*z^2)/a^4 - 6*a^4*z^2 + 2*a^6*z^2 + 8*z^4 - (3*z^4)/a^4 + (3*z^4)/a^2 + 
   a^2*z^4 - 6*a^4*z^4 + a^6*z^4 + 7*z^6 - z^6/a^4 + (3*z^6)/a^2 + 
   2*a^2*z^6 - 2*a^4*z^6 + 2*z^8 + z^8/a^2 + a^2*z^8, 
 Knot[15, Alternating, 57645] -> -4 - a^(-4) + 4/a^2 + 2*a^2 - 4*z^2 + 
   z^2/a^4 + 3*a^2*z^2 - a^4*z^2 + (5*z^4)/a^4 - (10*z^4)/a^2 + 6*a^2*z^4 - 
   2*a^4*z^4 - 2*z^6 + (4*z^6)/a^4 - (11*z^6)/a^2 + 6*a^2*z^6 - a^4*z^6 - 
   3*z^8 + z^8/a^4 - (5*z^8)/a^2 + 2*a^2*z^8 - z^10 - z^10/a^2, 
 Kno